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placement from {z: 1, c: 2, i: 4, f: 2, q: 1, s: 2}. What is prob of picking 2 s? 1/66 Calculate prob of picking 1 c, 1 n, and 1 k when three letters picked without replacement from nccccckccccccn. 11/182 Calculate prob of picking 1 c, 2 e, and 1 f when four letters picked without replacement from echhfe. 1/15 Calculate prob of picking 1 s, 1 i, and 1 n when three letters picked without replacement from lslibnb. 1/35 Calculate prob of picking 1 a and 2 x when three letters picked without replacement from {h: 5, k: 1, x: 3, g: 3, a: 1}. 3/286 Calculate prob of picking 1 l and 1 e when two letters picked without replacement from llfllllllel. 9/55 Calculate prob of picking 1 d, 1 n, and 1 q when three letters picked without replacement from tnqondqnnqns. 3/44 Four letters picked without replacement from {m: 4, a: 10}. What is prob of picking 2 m and 2 a? 270/1001 Calculate prob of picking 1 c and 1 y when two letters picked without replacement from {k: 1, y: 1, c: 1, v: 2}. 1/10 Three letters picked without replacement from {j: 3, t: 3, s: 3, m: 3}. Give prob of picking 2 j and 1 t. 9/220 Three letters picked without replacement from pppsupjjjjpjspr. Give prob of picking 2 p and 1 s. 6/91 Calculate prob of picking 1 f and 2 r when three letters picked without replacement from {s: 1, o: 3, m: 5, r: 2, f: 1}. 1/220 Three letters picked without replacement from {b: 1, s: 1, g: 4, u: 4, h: 1}. Give prob of picking 1 g, 1 h, and 1 b. 4/165 Three letters picked without replacement from {i: 4, l: 6, d: 2}. Give prob of picking 2 i and 1 d. 3/55 Two letters picked without replacement from bsbkksobbbbkkbbsbbs. Give prob of picking 2 b. 5/19 Two letters picked without replacement from {r: 1, w: 4, h: 2, e: 4}. Give prob of picking 1 e and 1 r. 4/55 What is prob of picking 1 e, 1 y, and 1 v when three letters picked without replacement from jjvvveeyei? 3/40 Three letters picked without replacement from ekksuzkekekezkkzzkk. What is prob of picking 2 k and 1 z? 48/323 Four letters picked without replacement from hjixjihhhhhvxoxhhhi. What is prob of picking 1 v, 2 h, and 1 j? 6/323 Four letters picked without replacement from jjjhhhxhhj. Give prob of picking 1 h and 3 j. 2/21 What is prob of picking 1 b and 1 c when two letters picked without replacement from {c: 2, f: 7, b: 6}? 4/35 Calculate prob of picking 2 v when two letters picked without replacement from {p: 2, z: 4, v: 10}. 3/8 Calculate prob of picking 1 h and 1 b when two letters picked without replacement from {w: 7, d: 1, h: 1, b: 6}. 2/35 What is prob of picking 3 c and 1 e when four letters picked without replacement from {o: 2, c: 4, e: 1}? 4/35 What is prob of picking 2 v when two letters picked without replacement from vttvvtv? 2/7 Two letters picked without replacement from {i: 18, m: 1, k: 1}. What is prob of picking 1 m and 1 i? 9/95 Calculate prob of picking 2 y when two letters picked without replacement from jtryfnjyfnyyjrf. 2/35 What is prob of picking 1 x and 1 s when two letters picked without replacement from usuhhhxxsxuxhusjbh? 4/51 Four letters picked without replacement from {w: 2, d: 5, m: 10, k: 2, x: 1}. What is prob of picking 1 d and 3 m? 40/323 Two letters picked without replacement from uuuuqqqqqqquu. Give prob of picking 2 q. 7/26 What is prob of picking 1 i, 1 h, and 1 b when three letters picked without replacement from chhbccigcchgcbg? 6/455 What is prob of picking 1 f, 1 u, and 1 g when three letters picked without replacement from fgggxgxxxufxffx? 16/455 Calculate prob of picking 2 g when two letters picked without replacement from {q: 1, f: 5, o: 7, g: 2, w: 1}. 1/120 Two letters picked without replacement from dqqzzdddzb. What is prob of picking 2 d? 2/15 Two letters picked without replacement from jjdtl. Give prob of picking 1 t and 1 l. 1/10 Three letters picked without replacement from {d: 1, u: 3, v: 10, p: 1}. Give prob of picking 3 v. 24/91 Two letters picked without replacement from {t: 3, j: 5}. Give prob of picking 1 t and 1 j. 15/28 Four letters picked without replacement from {y: 3, b: 6, o: 6}. What is prob of picking 1 o and 3 y? 2/455 Two letters picked without replacement from {r: 15, f: 5}. Give prob of picking 2 r. 21/38 Three letters picked without replacement from bphbbhhutpbbufh. Give prob of picking 1 f, 1 t, and 1 b. 1/91 Two letters picked without replacement from {i: 3, m: 5, z: 3, s: 2}. What is prob of picking 2 z? 1/26 What is prob of picking 1 e, 1 g, and 1 r when three letters picked without replacement from {g: 2, e: 1, z: 4, p: 2, r: 6}? 12/455 Calculate prob of picking 2 n when two letters picked without replacement from nniinnninn. 7/15 What is prob of picking 1 a and 2 d when three letters picked without replacement from {d: 8, l: 1, a: 3, f: 3, b: 3}? 7/68 Three letters picked without replacement from {h: 1, j: 1, l: 7}. What is prob of picking 3 h? 0 What is prob of picking 1 y, 1 s, and 2 r when four letters picked without replacement from {y: 1, r: 5, b: 3, v: 1, s: 1, l: 1}? 2/99 Calculate prob of picking 2 d, 1 i, and 1 e when four letters picked without replacement from dideifdud. 2/21 What is prob of picking 2 f when two letters picked without replacement from fifihphfhffhhih? 2/21 Two letters picked without replacement from wwvwwwwwwwwww. Give prob of picking 2 w. 11/13 Two letters picked without replacement from {u: 2, x: 1}. Give prob of picking 1 x and 1 u. 2/3 Two letters picked without replacement from gglggglllg. What is prob of picking 2 l? 2/15 Three letters picked without replacement from {z: 8, j: 2}. What is prob of picking 2 z and 1 j? 7/15 What is prob of picking 2 l when two letters picked without replacement from {l: 3, q: 1}? 1/2 Four letters picked without replacement from {f: 8, j: 5}. Give prob of picking 2 j and 2 f. 56/143 Three letters picked without replacement from iffiffis. What is prob of picking 2 i and 1 s? 3/56 Two letters picked without replacement from {d: 17, z: 1}. Give prob of picking 1 z and 1 d. 1/9 Three letters picked without replacement from {f: 2, u: 17}. What is prob of picking 2 u and 1 f? 16/57 Two letters picked without replacement from {x: 5, u: 3, f: 1, j: 1, a: 1, k: 4}. Give prob of picking 2 k. 2/35 Calculate prob of picking 2 u when two letters picked without replacement from {u: 7}. 1 What is prob of picking 2 h and 1 a when three letters picked without replacement from hhhaa? 3/5 Three letters picked without replacement from tttt. Give prob of picking 3 t. 1 Two letters picked without replacement from plllcpgllvlglpgg. Give prob of picking 1 l and 1 c. 7/120 Calculate prob of picking 2 m and 2 h when four letters picked without replacement from {m: 11, h: 3}. 15/91 Two letters picked without replacement from {r: 1, z: 1, a: 1, u: 1, c: 1}. What is prob of picking 1 r and 1 c? 1/10 What is prob of picking 1 p and 1 r when two letters picked without replacement from pprpprppppppprp? 12/35 What is prob of picking 1 t and 1 q when two letters picked without replacement from {d: 9, a: 1, l: 1, i: 4, t: 1, q: 1}? 1/136 Four letters picked without replacement from {r: 1, q: 4, k: 5}. Give prob of picking 3 q and 1 k. 2/21 What is prob of picking 2 d when two letters picked without replacement from {d: 3, y: 5}? 3/28 What is prob of picking 1 e and 1 x when two letters picked without replacement from essxeuxexsuxx? 5/26 Three letters picked without replacement from {y: 3, u: 4}. What is prob of picking 2 u and 1 y? 18/35 What is prob of picking 1 e and 2 t when three letters picked without replacement from hthmwwmhtzwewhmwwz? 1/816 Three letters picked without replacement from {b: 1, g: 1, x: 2, p: 1, z: 1, j: 1}. What is prob of picking 1 p, 1 z, and 1 g? 1/35 What is prob of picking 1 z and 3 t when four letters picked without replacement from {t: 3, z: 3}? 1/5 Two letters picked without replacement from {a: 1, x: 11, f: 5}. Give prob of picking 2 f. 5/68 What is prob of picking 1 m and 2 x when three letters picked without replacement from xoxxxmxxxxxmxommxo? 55/204 What is prob of picking 2 g, 1 k, and 1 q when four letters picked without replacement from {b: 2, q: 1, k: 7, g: 2, z: 4}? 1/260 Two letters picked without replacement from hjhlxxllljxllhll. Give prob of picki
{ "pile_set_name": "DM Mathematics" }
+ 85*j + 23. Let q be f(z). Factor -6/7*n + 0 + 3*n**q + 27/7*n**3. 3*n*(n + 1)*(9*n - 2)/7 Let c = -295559/180 - -1642. Let o(t) be the third derivative of 0*t + 6*t**2 + c*t**6 + 0 + 0*t**4 + 1/30*t**5 + 0*t**3. Factor o(p). 2*p**2*(p + 3)/3 Let -128*d**2 + 2978 + 129*d**2 + 2332*d - 1222*d + 1869*d = 0. What is d? -2978, -1 Let g be 108/(-66) - (-82)/((-43296)/(-5220)). Let -3/4*b**2 + g*b - 15/2 = 0. What is b? 1, 10 Let c be (-1 + 0)/((-1166)/1060). Let d(n) be the first derivative of 8 - 20/11*n**2 + 10/11*n**4 - 8/11*n - 14/11*n**3 + c*n**5. Solve d(s) = 0. -1, -2/5, 1 Suppose 95/3*r - 11/3*r**3 - 23/3*r**2 - 1/3*r**4 + 100 = 0. Calculate r. -5, -4, 3 Let u(n) be the second derivative of 3*n**5/20 - 33*n**4/4 + 43*n**3 + 180*n**2 + 20*n + 146. Factor u(i). 3*(i - 30)*(i - 4)*(i + 1) Factor -5369 - 3*h - 3*h**2 - 5383 + 10788. -3*(h - 3)*(h + 4) Let -138*a**3 - 4876*a - 9/7*a**4 - 26557/7*a**2 - 11236/7 = 0. What is a? -53, -2/3 Let a(p) be the first derivative of -7*p**4/6 - 3*p**3 - 2*p**2 - 68*p + 38. Let b(i) be the first derivative of a(i). Factor b(d). -2*(d + 1)*(7*d + 2) Let t(r) be the third derivative of -r**7/1050 + 13*r**6/600 + 11*r**5/25 + 22*r**4/15 - 32*r**3/3 - 1801*r**2. Factor t(f). -(f - 20)*(f - 1)*(f + 4)**2/5 Let c = -198 + 369. Suppose -4 = 4*o, 0 = -2*j - 5*o + 38 + c. Determine i, given that -j*i - 25 + 220*i - 108*i + 20*i**2 = 0. -5/4, 1 Let b(y) = -17*y**4 + 407*y**3 + 819*y**2 - 21. Let p(f) = -15*f**4 + 408*f**3 + 822*f**2 - 18. Let g(i) = -6*b(i) + 7*p(i). Factor g(h). -3*h**2*(h - 140)*(h + 2) What is o in 0 + 6/7*o + 2/7*o**2 = 0? -3, 0 Suppose 2 - 436 = -14*c. Suppose 10*z**2 + 29*z**3 - 40*z - c*z**3 + 7*z**3 = 0. What is z? -4, 0, 2 Let m(l) = 7 + 10*l - 40 + 11 - 4*l - l**2 + 11. Let b(h) = 10 - 3*h + 3*h - 6*h. Let c(x) = 3*b(x) + 2*m(x). Let c(u) = 0. What is u? -4, 1 Suppose 0 = 70*d - 0*d - 1498 - 42. Let i(k) be the first derivative of -7/13*k**2 + 6/13*k - d + 4/39*k**3. Factor i(z). 2*(z - 3)*(2*z - 1)/13 Let i = -644/59 + 9778/885. Suppose -2/15 - 4/15*o - i*o**2 = 0. What is o? -1 Factor -437*a**3 + 735*a**2 + 56*a**4 - 253*a**3 - 50*a**5 - 1265*a + 390 + 45*a**5 + 54*a**4 + 725*a**2. -5*(a - 13)*(a - 6)*(a - 1)**3 Let t(u) = -4*u**3 - 80*u**2 + 186*u. Let g(d) = -2*d**3 - 53*d**2 + 132*d. Let v(m) = -10*g(m) + 7*t(m). Solve v(c) = 0. -3, -3/4, 0 Let d = 2/120155 + 120089/3965115. Let r(j) be the second derivative of 33*j - d*j**3 - 2/33*j**4 - 1/110*j**5 + 6/11*j**2 + 0. Factor r(q). -2*(q - 1)*(q + 2)*(q + 3)/11 Let j(r) be the first derivative of -r**4/2 - 2*r**3/3 + 21*r**2 + 90*r + 3403. Let j(l) = 0. What is l? -3, 5 Factor 2*g**5 - 4*g**5 - 29*g**2 + 20*g**4 + 60*g**2 + 22*g**3 - 31*g**2. -2*g**3*(g - 11)*(g + 1) Solve -34/11*j**2 + 56 + 248/11*j - 2/11*j**3 = 0. -22, -2, 7 Let u(v) be the third derivative of -101*v**7/210 - 17*v**6/10 + 97*v**5/60 + 17*v**4/2 + 2*v**3/3 - 80*v**2. Find w, given that u(w) = 0. -2, -1, -2/101, 1 Let v = -4/81 - -182/405. Let b(z) = 9*z + 66. Let r be b(-7). Factor v*w**r + 14/5*w**2 + 6*w + 18/5. 2*(w + 1)*(w + 3)**2/5 Let 535/4*i**3 - 5/4*i**5 - 515*i + 40*i**4 - 145/2*i**2 - 350 = 0. Calculate i. -2, -1, 2, 35 Solve 1767/5*z**2 - 3546/5*z + 0 + 3/5*z**3 = 0. -591, 0, 2 Suppose 2156*f - 715*f - 4323 = 0. Determine q so that 4/7*q**2 - 6/7*q + 0 + 2/7*q**f = 0. -3, 0, 1 Factor -51200 - 320*g - 1/2*g**2. -(g + 320)**2/2 Let g(v) = -v + 1. Let p be 33/77 - (-12)/21. Let b(k) = k**2 - k. Let o(w) = p*b(w) + 6*g(w). Find y such that o(y) = 0. 1, 6 Let -54/5 - 26/5*j**4 - 432/5*j**2 + 324/5*j + 188/5*j**3 = 0. Calculate j. 3/13, 1, 3 Suppose 6/11*w**2 + 58/11 + 16*w = 0. Calculate w. -29, -1/3 Let h(b) be the third derivative of 5*b**8/336 + b**7/2 + 131*b**6/24 + 53*b**5/4 - 225*b**4/2 - 810*b**3 - 1138*b**2. Determine c, given that h(c) = 0. -9, -3, -2, 2 Let w(f) be the second derivative of 0*f**4 + 0*f**2 + 0 + 0*f**5 - f**3 + 7*f + 1/72*f**6. Let n(o) be the second derivative of w(o). Factor n(b). 5*b**2 Let t(r) be the third derivative of -r**6/300 + 19*r**5/3 - 1897*r**4/60 + 316*r**3/5 + 2853*r**2. Solve t(d) = 0 for d. 1, 948 Let n(f) be the first derivative of -f**8/840 - 2*f**7/35 - f**6 - 20*f**5/3 + 63*f**2/2 + 51. Let b(q) be the second derivative of n(q). Factor b(l). -2*l**2*(l + 10)**3/5 Let h(z) be the first derivative of -3*z + 1/2*z**2 + 1/30*z**6 + 0*z**5 - 13 - 1/6*z**4 + 0*z**3. Let n(p) be the first derivative of h(p). Factor n(q). (q - 1)**2*(q + 1)**2 Let 49/4*k**3 + 129*k**2 + 324 + 1/4*k**4 + 441*k = 0. What is k? -36, -6, -1 Let t = -222379/2 + 111193. Let 1/8*j - 1/8*j**3 + t*j**2 - 7/2 = 0. What is j? -1, 1, 28 Find f such that -131/8*f + 1/8*f**2 + 65/4 = 0. 1, 130 Let x = 3189421/390 + -8178. Let f(h) be the third derivative of 5/156*h**4 + 0 - 4/39*h**3 - x*h**5 + 4*h**2 + 0*h. Factor f(q). -2*(q - 4)*(q - 1)/13 Let 7/9*z**5 - 56/9*z**3 + 256/9 - 128/9*z**2 + 112/9*z + 16/9*z**4 = 0. Calculate z. -16/7, -2, 2 Let m = 289 - 291. Let x(v) = 10*v**3 + 8*v**2 + 37*v + 11. Let h(d) = -d**3 - d**2 - 3*d - 1. Let g(a) = m*x(a) - 22*h(a). Factor g(n). 2*n*(n - 1)*(n + 4) Let s be -4*(2095/175 + -12)/((-8)/(-14)). Let r = -6 - -9. Suppose 0*o**2 - 1/5*o**r + 0 + s*o = 0. Calculate o. -1, 0, 1 Let w(p) be the first derivative of p**6/2 + 126*p**5/25 + 213*p**4/20 - 18*p**3/5 - 114*p**2/5 - 72*p/5 - 185. Determine o so that w(o) = 0. -6, -2, -1, -2/5, 1 Let f(a) be the second derivative of -a**7/6300 - 11*a**6/1800 - a**4/2 + a**3/6 + 3*a + 4. Let j(v) be the third derivative of f(v). What is r in j(r) = 0? -11, 0 Let g(s) be the first derivative of 276*s**2 - 2116/3*s**3 - 36*s + 32. Factor g(j). -4*(23*j - 3)**2 Suppose 5*y - 18 = 5*g - 3, 2*y + g = -6. Let z be y*-4*(-1)/(-52) + 1. Find s such that 2/13*s**3 - 10/13 + 22/13*s - z*s**2 = 0. 1, 5 Let q be 10*6/(-75)*-5. Factor 6*k**2 + 2*k**2 + q - 2*k - 4*k**2 - 6*k. 4*(k - 1)**2 Suppose 3*z + 107 = 4*s, -s + 112 - 11 = -3*z. Let n be z/3 - 77/(-11) - -4. Find x such that n*x**2 + 3/2*x - 3/4*x**4 + 3/4 - 3/2*x**3 = 0. -1, 1 Factor -16*l**2 + 576/5 - 4/5*l**3 - 112/5*l. -4*(l - 2)*(l + 4)*(l + 18)/5 Suppose 0 = -g - 141*b + 143*b + 25, -80 = -6*g + 5*b. Suppose -3/5*t**2 + 9/5*t**3 + 0 - 3/5*t + 6/5*t**g + 3*t**4 = 0. What is t? -1, 0, 1/2 Suppose -22*q = q - 6417. Solve -57417*v**3 - 8100*v**2 - 2980*v**2 - 31956*v**3 - 3 - q*v + 2431*v**2 = 0 for v. -1/31 Let s(u) = 3*u**3 - 28*u**2 - 20*u + 72. Let k be s(10). Let m be (9/k*0)/(-2). Solve 2/7*g**2 + m*g + 0 = 0. 0 Factor -2/3*m**2 - 1/3*m**3 + 0 - 1/3*m. -m*(m + 1)**2/3 Suppose 3*v + 17 = -5*h + 18, 2*v + 4 = -h. Let b be (-2)/12 - 2/v. Determine i, given that b*i**3 + 0 - i**2 + 1/2*i = 0. 0, 1 Factor 60/13*w + 350/13 - 2/13*w**2. -2*(w - 35)*(w + 5)/13 Let h = 1959 - 1959. Let w(t) be the third derivative of -1/390*t**5 + h*t + 3*t**2 - 1/156*t**4 + 0 + 0*t**3. Solve w(i) = 0. -1, 0 Let g(z) be the first derivative of 13/2*z**2 + 4 - 1/60*z**5 + 1/24*z**4 + 0*z + 0*z**3. Let m(x) be the second derivative of g(x). Factor m(n). -n*(n - 1) Let p be -9*(3 - 58/18). Suppose p*w - w = 5. Find r, given that -w - 5*r**2 + 5 = 0. 0 Let n(t) be the first derivative of 6*t - 1/3*t**3 + 1/2*t**2 + 102. Determine f so that n(f) = 0. -2, 3 Let v = 2615 - 2611. Let a(c) be the third derivative of 0*c - 4*c**2 + 1/1680*c**7 + 0 - 1/960*c**6 + 0*c**3 - 1/64*c**v - 1/96*c**5. Solve a(x) = 0 for x. -1, 0, 3 Let q = 38 + -34. Suppose 0 = 5*i - 4*k - 3, 3*k = -q*i + 2*k + 15. What is f in -2*f**2 + 3*f**2 - f + i*f**2 + 5*f = 0? -1, 0 Let r(w) be the first derivative of 57 - 1/25*w**5 - 1/20*w**4 + 0*w**2 + 4/5*w**3 + 0*w. Factor r(s). -s**2*(s - 3)*(s + 4)/5 Factor 63*m - m**5 - 37*m**4 - 52*m**2 + 8*m**3 - 6*m**2 - 50*m**2 + 57*m**4 + 18*m**3. -m*(m - 21)*(m - 1)**2*(m + 3) Let 332/3*b - 160 + 152/3*b**2 - 4/3*b**3 = 0. Calculate b. -3, 1, 40 Let f(t) be the second derivative of -t**6/270 + 2*t**5/9 + 217*t**4/108 + 178*t**3/27 + 10*t**2 + 10*t - 230. Let f(b) = 0. What is b? -2, -1, 45 Factor 64/3*s**2 + 0 - 20*s - 19/3*s**3 + 1/3*s**4. s*(s - 15)*(s - 2)**2/3 What is d in 2/3*d + 28/3 - 7/3*d**2 - 1/6*d**3 = 0? -14, -2, 2 Let x(t) be the first derivative of 2*t**3/3 - 128*t**2 - 786*t - 352. Find g, given that x(g) = 0. -3, 131 Let v(j) b
{ "pile_set_name": "DM Mathematics" }
5314 + -15385. -42 (-3 - -12) + 1 + (16 - (8 + 4)) 14 36 + -7 - 24 - (-1 + -69 - (-28 - -28)) 75 Calculate 9 - ((-6 - 2) + 30) - -28. 15 What is (-1 - -11 - (5 + -1)) + (-7 - -25) + -10? 14 Evaluate (-47 - (1 - -3) - 1) + -61 + (42 - -5). -66 Evaluate (-2 - 36) + 1 + 39. 2 Evaluate 22 - (10 + 5 + 5 - -59). -57 What is the value of (-3 + 4 - -3) + 125 + -130 + 128? 127 -45 + 46 + -10 + -20 - 36 -65 What is the value of (-105 - (0 + (3 - 3))) + 9159 + -9139? -85 What is (-13 + 40 - 72) + 19? -26 Calculate -102 + -87 + 251 + -118. -56 11 - ((9 - (-31 + 22)) + -10) 3 Evaluate 0 - 18 - (310 + -315) - 32. -45 Evaluate (268 - 269) + -17 - (-65 + (2 - 1)). 46 What is the value of (-10 - 0 - -11 - -50) + -8? 43 Evaluate 1 - (2 + 82) - (-722 - -709). -70 -130 + 64 + 0 + 30 -36 What is the value of -72 + 51 + 19 + -43? -45 -5 + (-13 - (-6 - (-3 - (-6 - -4)) - 18)) 5 Calculate -67 - (55 - 38) - (-2 + -19). -63 -2 + (9 - (5 - (12 - 14 - 10))) -10 What is (-1 - -4 - (188 - 221)) + -35? 1 Evaluate (35 - 27) + (33 - (0 + (-5 + 0 - -13))). 33 (22 - 1 - (44 + -54 - -18)) + (106 - 20) 99 What is the value of 337 + -359 - (-79 + 4)? 53 What is the value of -8 + (-1 - -2) - -3 - (51 - 98)? 43 Calculate 46 - 1 - (-3 + 0 - (7 - (38 + -35))). 52 Evaluate (-41 - (1 - (-4 + 5)) - (-109 - -119)) + 4. -47 What is 17 + (-7 - (-23 - -12)) + -18 + -140? -137 What is 176 - (-6 + 98) - -39? 123 What is -3 + 23 + (-2 - 32) + (17 - -1) - 47? -43 Calculate 61 - 74 - ((-2 - 10) + (115 - -7)). -123 What is (-459 - -483) + -54 + 1? -29 Calculate 0 + 14 - ((45 - (24 + -28)) + -30). -5 What is the value of (-38 - -14 - -14) + (2 - ((3 - 3) + 24))? -32 Evaluate (38 - 1) + (46 - 59 - (6 + -23 - 11)). 52 5 + 4 + (-3 - -5 - 20) - (-7 + 41) -43 What is the value of (-31 - (-67 - -16)) + 19 + 45? 84 Calculate (-7 + 20 - 9) + -6 + 1 + -28. -29 What is 1708 + -1689 + 2 + -27? -6 Evaluate 24 - (12 - (-30 + 42)). 24 Evaluate -19 - (-89 + 130 + -83). 23 Evaluate 56 + -23 + -8 + 6. 31 What is the value of -31 - (46 + -81 + 68)? -64 Evaluate (-3 - (-19 - -14 - 7)) + -11 - (64 - -1). -67 -113 - (-185 - (-19 - 80)) -27 Calculate 51 - -1 - ((0 - -13) + (-29 - 26) + 47). 47 Evaluate 0 - (2 + 2 + 11). -15 26 + 28 + -59 + 34 - 37 -8 What is 49 + 64 + -24 + -50 + (0 - -24)? 63 Evaluate -14 - (10 + -3 + -41) - (2 - -12). 6 Calculate -8 - ((8 - 6) + 3 - 7 - -2 - 10). 2 What is the value of 48 - (36 - 85 - -120) - 0? -23 Calculate -1 - -4 - (-13 - 15 - -47) - (-8 - 1). -7 What is the value of (-4 - (-14 - (4 - 25))) + (36 + 8 - 4)? 29 What is the value of -70 + (91 + 15 - 113)? -77 -17 + (2 + 8 - (-4 + 21 - -50)) -74 (-5 - (3 - (-14 + 71)) - 11) + (-1 - -1) 38 Evaluate 16 + -4 + 2 + (-14 - -7) - 13. -6 Evaluate -3 + 116 - (-7 - -7 - 7 - (162 + -167)). 115 (74 - (-6 - -14)) + (33 - 47) 52 9 + -13 - (112 - 140) 24 What is the value of -8 + (-81 + 30 - -9)? -50 Calculate 11 + -2 + -9 + (-75 - -141) + -21. 45 Evaluate -1171 - -1251 - (43 - 1). 38 What is the value of (-133 - -188) + (-2 - 18) + -25 - (76 - 0)? -66 Evaluate 2 + -1 - -56 - ((87 - 16) + -60). 46 What is (3 - 24) + -30 + (38 - -24)? 11 Evaluate -82 - -100 - (-110 + 10 + 3 + 1). 114 Calculate 0 - -28 - (-431 - -427). 32 What is 0 + -38 + (10 - -10) + -8? -26 Calculate 18 - (232 + -113 + -93). -8 What is -11 + (-1 - ((5 - 0) + (75 - 74))) - 2? -20 Evaluate -110 + 31 + 134 + -94. -39 Calculate 2 + (6 - -2) + -291 + 307. 26 Evaluate (-40 - (-19 + (-83 - -48))) + (-119 - -1). -104 What is -13 + 77 + -70 - -43? 37 Evaluate 16 + (15 - 21 - 15 - -3). -2 5 + (-2 - -1) + 115 + 3691 + -3693 117 Evaluate (12 - 2) + 0 + (15 - -2 - (195 + -141)). -27 What is 50 + 18 + -2 + -22 + 7 + -21? 30 Calculate 45 + (-3 - -4) - (2 + 2 + (-1 - 8)). 51 What is (160 - -3) + (-272 - -261) + (2 - 11)? 143 What is 4 + -7 - ((-12 - -2) + (-6 - -6) - 81)? 88 What is the value of 46 + (5 - (16 - 7) - 9) - -6? 39 (682 - 682) + -1 + -63 + 0 -64 What is -5 - -1 - ((-986 - -1025) + 2 + -1 + 3)? -47 Evaluate 0 + 28 - (17 - (7 - -9)). 27 8 + -8 + 7 + (17 - (4 + -5)) 25 What is (10 - (-11 + -12 + 20)) + 5 + -11 - -4? 11 14 + -24 + (-37 - -13 - 5) -39 Calculate (9 + (-28 - -10) - ((2 - -3) + -19)) + -9. -4 Calculate 1 + (-70 + -1 - -1) + -157 + 177 + -14. -63 -2 + 1 + -5 - (-12 + 57 - 76) 25 What is -12 + (171 - 179) + (-1 - -13) + -3? -11 What is the value of 23 - 11 - ((-14 - -25) + -24)? 25 What is -9 - (47 - ((-15 + 27 - 29) + 31))? -42 -23 + (-5 - (-11 - 2)) - (-69 + 6) 48 78 - (75 + -30 - -71) -38 Evaluate (4 - (39 - 7 - 9)) + 59. 40 5 + (0 - 8 - 17 - -122) + 10 112 17 + (5 - (8 - -2)) - (11 - 33) 34 What is 22 + -7 + 13 + (24 - 31)? 21 Calculate (-14 - 0) + (-66 - -3 - (892 + -906)). -63 Calculate -196 + (-24 - -25 - -33) + 30. -132 Calculate (1 - -44) + (572 - 658). -41 Calculate -14 + -1 + (0 - 25 - -24). -16 Calculate 4 - ((-14 - (-17 - 10)) + (1 - (-16 - 0))). -26 276 - 291 - (12 + 5 + -5 + -2) -25 What is -4 + -8 + -381 + 403 - (90 + 2)? -82 Calculate 10 + (59 + -13 - 31). 25 Evaluate -5 + -15 - (-64 - -45 - 3). 2 Calculate 1 - (0 + 57) - (1258 + -469 + -796). -49 Evaluate 22 + -1 + -47 + -14 + 79. 39 52 + (41 - (-32 - (28 - 87))) 66 Evaluate -120 + (-6 - ((9 - 30) + -2) - -1). -102 What is the value of (-23 - ((-6 - 4) + -2)) + -15? -26 (-16 + 12 - -5) + (4 - 7) + -1 + 23 20 Calculate -24 - (100 + -3 + 3 - (-373 + 381)). -116 Evaluate -72 - (-2 + -12 - -12) - -17. -53 1609 + -1630 - (-33 + 8 + -4) 8 What is the value of (12 - -6) + -23 - 47 - -16? -36 10 - (-2 + -7 + (3 - (5 - -6) - -24)) 3 Calculate (-17 - -11) + 16 - 24 - -18. 4 Calculate -354 + 399 - (-5 - (11 + -4) - (2 - 5)). 54 12 + 12 + -3 - 21 - -36 36 What is (-581 - -593) + (27 - (11 - 8))? 36 Evaluate 13 - ((80 - 101) + 32 + 41 + 0). -39 Calculate 2 + (94 - (-1 + -5 + -1 + (25 - 11))). 89 What is the value of 30 + -92 + 89 + (-1 - 1)? 25 (6 - (-43 - -54 - (0 + 1))) + -1 + 7 2 Evaluate (-73 - (-5 - (3 + -5))) + 414 + -398. -54 What is -3 - (12 - -42 - 11 - 5)? -41 Evaluate 118 - 67 - (-12 - -119). -56 -5 + 25 - (983 - 1027) 64 Evaluate 40 - -42 - 109 - -74. 47 Evaluate 54 + (-8 - 49 - -31). 28 Calculate 47 + -16 - 30 - (-16 - (1 + -7)). 11 Evaluate 8 + 8 + (-4 - ((2 - 14) + -20 + 28)). 16 2 + (-25 - -8) + -5 - 3 -23 1 + 25 - (-216 + 215 + 23) 4 -6 + 50 + 9 - 14 39 What is 20 - (15 + -13 + (-16 - -14))? 20 Evaluate -38 - (-47 - (-29 - -56)). 36 Calculate (-1 - (-28 + 7)) + (0 - 53). -33 14 - (-17 - (6 - 44 - (2 - -6))) -15 -2 + -76 - (1009 - 1055) -32 Evaluate -2 + -8 - 9 - (-24 + 0 + 11). -6 Evaluate -11 + (23 - (99 + -51)). -36 13 + 38 + (-10 - (10 + (-15 - -8))) 38 What is 20 + -15 + (2 - ((-10 - -15) + -13))? 15 What is the value of 11 - (-7 - (3 + -15 + 14 + 0))? 20 What is the value of (1 - 34) + 1 + -41 + (-1031 - -1060)? -44 1 - (13 + 3 + -22 + 3 + -1) 5 Evaluate (-76 - -164) + -69 + (88 - 1) + 0. 106 23 + 32 + 3 + -1 - (-8 - -2 - -11) 52 Evaluate 17 - (32 - ((6 + -23 - -21) + 11)). 0 Evaluate -72 + 0 - (7 + 6 + -21 + 13 + 6). -83 What is the value of (-31 - 6 - -5) + 1 + -9 + (-45 - -51)? -34 Calculate (32 - -3) + (-379 - -385). 41 What is the value of -12 + -35 - (18 + -34)? -31 Evaluate 5785 - 5749 - (-1 + -6). 43 What is the value of (-16 - (4 + -2)) + 401 + -378? 5 Evaluate -63 - -3 - (5 - (-3 - -1) - (-9 - -8)). -68 What is -55 + 48 + 1 - (2 - (1 + 2) - -39)? -44 What is (-35 - 0) + (-2 - -1) + -472015 + 472036? -15 What is -3103 + 3114 + -14 + -1? -4 Evaluate 10 + -9 + 0 + (-47 - -75). 29 Calculate 23 + -134 - (61 + -77). -95 Calculate 90 - ((1 - 6) + 13) - (-86 + 76). 92 What is the value of -13562 + 13562 - (1 - (5 + -1))? 3 What is 22 + (-13 - 80) + (-13 - 14)? -98 Calculate -52 - -83 - 54 - -48. 25 Calculate (-3 - (-5 + 19)) + 64 + -28. 19 Calculate 13 + (-9 - 3) + -13 + -10 - -13. -9 -24 + (-211 - 11) + 123 -123 Evaluate -4 - 64 - (-76 + -30). 38 What is 20 + (-6 - (-1 + -14))? 29 What is the value of -5 - ((110 - (-29 - 20)) + (7 - 21))? -150 What is 58 + -52 - -104 - (-5 + 44)? 71 What is the value of 10 + -10 + (-10 - -1) - (72 - 80) - 8? -9 -150 - (-29 - 40) - -56 -25 What is -2 - (7 - 2 - 9) - (-22 + -32)? 56 What is 248 + -194 + (-6 - 39)? 9 What is 56 + (-40 - 37) - (4 + -3 - 80)? 58 What is the value of -19 + -6 - (26 - 52 - 58)? 59 -67 - (19 - 75) - (-26 + -3) 18 Evaluate (-6 - -1) +
{ "pile_set_name": "DM Mathematics" }
z be (-1 + 46/4)*(-16)/6. Which is bigger: z or -27? -27 Suppose -2*w - 2*m + 2 = -12, -2*w + 3*m = 1. Let z be 2 - w - (-10)/4. Which is greater: 0 or z? z Let l = 5 - 4. Let b be (l/(-1) - 0)/18. Let q = 7/36 - b. Is q smaller than 1? True Suppose 5*c = -3*f + 150, 3*f - 3*c - 12 = 114. Let k be 25/f + 2/(-9). Which is greater: k or 0? k Let k = 21 - 14. Let v = 6.9 - k. Is 3 <= v? False Let x(b) = -1 - 5*b - b**2 - 3*b - 2. Let l be x(-7). Let h be (-15)/25 - l/10. Is -2 at most h? True Let j = 101 - 64. Which is greater: j or 36? j Suppose 0 = z + 1 - 2. Let x be -10*(-4)/(-70)*z. Let b(s) = -s**3 - s**2 + 3*s - 2. Let k be b(1). Is x equal to k? False Suppose 4*d + 2*r = -14, 2*d - 8 = 4*r - 2*r. Which is bigger: -3 or d? d Let n(d) = d**3 - 4*d**2 - 6*d + 7. Let w = 0 - -2. Let q = w - -3. Let z be n(q). Is 3 >= z? True Let p = -48/11 - -262/55. Let j be 0*(3 - 12/3). Let n be (j + -1)*1*0. Which is bigger: n or p? p Let x(a) = -a + 3. Let o be x(5). Let u = 7 + -5. Suppose u*n - 12 + 2 = 3*r, n = -4*r + 5. Are r and o non-equal? True Let h = 14.3 - -2. Let g = h - 17. Which is greater: 0.1 or g? 0.1 Let r = -2 - -3. Suppose 3*i + 4*o + 3 - 2 = 0, 0 = 4*o + 4. Is r smaller than i? False Let n = -66 - -329/5. Which is greater: 0.3 or n? 0.3 Suppose 69 = -6*y - 9. Which is bigger: -12 or y? -12 Suppose 0 = 6*n - 13*n + 161. Are n and 25 non-equal? True Let c = -19 + 18. Which is bigger: c or -3/8? -3/8 Let d(j) = 3*j - 1. Let k be d(-2). Which is bigger: -6 or k? -6 Let q be (4/(-25))/(10/25). Which is smaller: -0.3 or q? q Let t(c) = 2*c. Let h be t(2). Let n be (-30)/4*(-8)/6. Let g be h/15 + 4/n. Is g < 0.1? False Let l be (15/(-410))/((-6)/(-8)). Are 1 and l equal? False Let p = 4 - -1. Suppose -10*q = -p*q. Is 3/16 greater than q? True Let p be (-31)/2 - 5/(-10). Suppose 2*h + 27 = -a - 8, 3*h = -2*a - 54. Is h != p? True Let u = -0.866 + -0.134. Which is smaller: -0.074 or u? u Suppose -2*z = 1 + 15. Which is smaller: -7 or z? z Let a(q) be the third derivative of q**4/12 - 7*q**3/6 - q**2. Let m be a(6). Suppose -m*k + 0*k = 0. Is 0 greater than k? False Let m(l) = l - 7. Let c be (1 + 1)*(2 - -1). Let j be m(c). Which is smaller: 2/5 or j? j Let l = 10 + -6. Is -3 at least as big as l? False Suppose -c - k = -4, c - 3 = -0*c - 2*k. Suppose -c*b - 2 - 3 = 0. Let o be -2 + b + 0 + 3. Are 1 and o equal? False Let f = 0 + -0.1. Is f less than 1? True Let f(j) = -22*j**2 + 1. Let y(m) = -m**2. Let z(d) = f(d) - 6*y(d). Let g be z(-1). Let n be 10/g - (-2)/30. Which is smaller: 0 or n? n Let r be 72/(-38) - 6/(-3). Suppose 0 = 3*u - 10 - 14. Suppose -2*f + 2*d - u = 0, -9 - 8 = 5*f - 4*d. Which is smaller: r or f? f Let z = 15 + -14. Let b = -0.21 - 0.09. Is z equal to b? False Let l = -357/4 - -90. Let u(s) = -s**3 - 4*s**2 + 4*s - 5. Let g be u(-5). Suppose -3*f + 0 + 3 = g. Which is smaller: f or l? l Let m(j) = j**2 - 6*j + 11. Let g be m(7). Suppose -2*t = 2*r + 3*t - 3, -5*r - 2*t = -g. Is 6 smaller than r? False Suppose 0 = -2*a - 8, -3*i - 2*a - 4 = -a. Let y be -2 - (56/(-26) + 0). Is y equal to i? False Let m(l) = l**3 + 3*l**2 - l - 3. Let x = -2 + -1. Let j be m(x). Let y be 140/(-30) - 4/(-1). Do j and y have the same value? False Let d = 26/3 - 8. Let i = 0.2 + -0.15. Let q = -1.95 - i. Is q at most d? True Let v(g) = -2*g + 17. Suppose 0 = 3*f - 23 - 1. Let h be v(f). Which is smaller: h or -5/12? -5/12 Let q(p) = -p + 6. Let o be q(5). Which is bigger: -2 or o? o Suppose -4*j - 4 = -3*j, 0 = 3*o - 5*j - 17. Is o less than or equal to -3? False Suppose -o + 10 = -1. Let v = o + -8. Are v and 3 nonequal? False Let o(z) = -z**2 - 2*z + 1. Let d be o(-3). Is -2 > d? False Let g = 50.1 + -50. Is 0.2 smaller than g? False Suppose -d = d - 4. Let j be (-3)/(6/4) - d. Let r = j + 3. Is r less than -1? False Let n = -9 + 10. Let l = n - 3. Which is greater: l or 3/2? 3/2 Suppose -6*d - 6 + 0 = 0. Let f = 18 - 12. Let y = f - 5. Are y and d nonequal? True Suppose 2*q + 2 = 20. Let k be 12/q + (-2)/(-3). Is k at least as big as 0? True Let i be 1*(0/3 + -24). Let s be (-2)/8 - 2/i. Is -1 less than or equal to s? True Let c = 3/464 - 293/464. Is 0 > c? True Let n be 6/(-10) + (432/15)/(-2). Is -13 bigger than n? True Let k be 8/12 + (-4)/(-3). Are 5/7 and k nonequal? True Suppose 0 = -4*t + 6*t + 8. Let p be ((-6)/(-14))/(t/(-7)). Which is smaller: 1 or p? p Let z = -3 - -5. Suppose 2*m + m - z = -a, -a = 5*m. Is -6 at most m? True Let w be 1/(-1*(2 + -3)). Let m be (-27)/(-333)*(-1 + (-1)/(-3)). Which is bigger: w or m? w Let u = 6 + 1. Let d = u - 6. Is d greater than -2? True Suppose -5*m + 8 = 3*m. Which is greater: 2/53 or m? m Let x be -1*(1 + -3 + 1). Which is bigger: x or 0? x Suppose -4*z - z + 15 = 0. Suppose -z = -3*v + 15. Which is smaller: 5 or v? 5 Let n = 5.7 - 6. Let y = 0.1 + n. Let d = -35 - -104/3. Are d and y non-equal? True Let o = 841/136 + -120/17. Which is greater: 0.1 or o? 0.1 Let y = 45/11 - 4029/1001. Let f = 303/455 - y. Let v = -1.1 + 0.1. Which is smaller: f or v? v Let s be 7332/112 - (-1)/4. Let y = s + -66. Which is greater: y or 1? 1 Let j(c) = 0*c + 2*c + 1 - 7. Let m be j(3). Is m at most 0? True Let t(p) = -p**3 - 11*p**2 - 11*p - 7. Let z be t(-10). Which is greater: z or 2? z Let z be 1 + 7/(-5) + (-10)/(-25). Is z <= -2/33? False Let a = 1905/1978 - 8580707/8357050. Let r = a + 4/169. Let d = r + 53/75. Which is smaller: d or 2? d Let f = -2 + -4. Let r = -4 - f. Let j = r - 2.3. Which is smaller: 1 or j? j Suppose -v - 3*v = 2*a + 12, 3*a - 2*v = 14. Are a and 6 non-equal? True Let b be 3/(-4) + (-7)/28. Let x = 2 + b. Which is greater: x or -1? x Suppose -5*s = -4*s + 6. Let t = 5 + s. Which is bigger: t or -5/6? -5/6 Let p = -0.34 + 0.4. Let d = p - -0.54. Let g = d + -0.4. Is g at most 1? True Suppose 14*s - 14 = 13*s. Is s >= 18? False Let q = -1 + 3. Is q > 18/11? True Let z = 7.3 - 1.3. Let x = 5.7 - z. Is x at most 2/3? True Let x = -0.1 + -3.9. Let w = -1.29 + 2.35. Let v = -0.06 + w. Which is smaller: v or x? x Let u = -264 + 183. Let q = -245/3 - u. Are q and -2/5 nonequal? True Let x be 1/2*(-16)/244. Let n = x - -65/122. Is n >= -0.3? True Let v = 0.62 - 0.52. Which is greater: -54 or v? v Let w(k) = k**2 + k - 2. Let b be w(2). Let y = b - 0. Suppose 7*i - y*i = 12. Which is smaller: i or 2? 2 Suppose 2*f = 5*s - 14, -4*f + 3 - 1 = 5*s. Let r be -1 + (s - 12/10). Suppose 5*v - 3*v = 0. Is r not equal to v? True Suppose 0*n = -3*n - 3*k + 15, 34 = 2*n - 4*k. Are 11 and n non-equal? True Let h = -9 + 5. Let x = h - -4. Is x greater than or equal to 2? False Let b be (-22)/28 - (-2)/4. Suppose o + o = k - 14, 0 = o + 2*k - 3. Let y be 10/15 + o/3. Which is smaller: b or y? y Let u(s) = 3*s**3 + s**2 - 2*s + 1. Let r be u(1). Are -5/11 and r unequal? True Let b(v) = v**3 - 5*v**2 - 3. Let k(p) = p + 1. Let w be k(4). Let f be b(w). Let y be f - -2 - (-2)/2. Which is bigger: y or 1? 1 Let c = 6 + -3. Suppose -c*b = -0*b + 15, 4*b = -4*j - 32. Is j greater than or equal to -1? False Let g be (-4)/14 + (-10)/14. Let z be 4/(-48)*(9/(-5))/(-3). Which is greater: z or g? z Suppose -5*f = -3*d + 65, -f + 0*f + 2*d = 20. Let s be ((-5)/f)/((-4)/24). Is s less than or equal to -15/4? False Let s be (-19)/((-665)/294)*(1 + 4). Which is smaller: 43 or s? s Let k = 43 - 43.09. Let a = -5 - -4.93. Let h = k - a. Which is smaller: -1/2 or h? -1/2 Let l = -5.9 + 6. Let m(h) = 2*h + 6. Let u be m(-4). Which is bigger: u or l? l Let h(j) = j**3 - 2*j + 1. Let g = -4 - -5. Let r be h(g). Which is greater: r or 1/10? 1/10 Let b be 3/6*-1*0. Let a be (1 - (-1 - -1))*28. Let n = a - 82/3. Are n and b equal? False Let o = -0.4 - 0. Let v = o + -1.6. Let i = 148 - 148. Which is smaller: i or v? v Let v = 61 + -41. Suppose 5*u - v = 0, -3 = -4*s - 3*u + 1. Let a be (-2)/s*(1 + -1). Which is smaller: -2 or a? -2 Let r = 132 - 922/7. Let i(f) be the first derivative of f**3/3 + 5*f**2/2 - 7*f - 3. Let a be i(-6). Which is smaller: a or r? a Let f = 0.06 - -3.94. Let m = 0 - -0.1. Which is greater: m or f? f Let r = 0 + 0.5. Let a = -0.44 + 0.04. Let u = r + a. Which is bigger: -1/5 or u? u Let c(u) = -u - 3. Suppose 4*x - 4*o + 4 = 0, 3*o - 9 = -x + 6*o. Let v be c(x). Which is bigger: 4 or v? 4 Let t
{ "pile_set_name": "DM Mathematics" }
= -703 + 573.6. Let s = -130 - d. Sort l, s, 2/9 in descending order. 2/9, l, s Suppose 65*s + 9515 = 238*s. Sort 2, -3, s. -3, 2, s Let x = 0.2564 - 0.7564. Let u = -16/27 - -58/189. Put -5, 0.4, x, u in increasing order. -5, x, u, 0.4 Let o = 11.9 + -1.9. Let j(b) be the first derivative of -b**4/4 + 2*b**3/3 + 3*b**2 + 4*b + 35. Let q be j(4). Sort -1, q, -0.4, o. q, -1, -0.4, o Let f = 1/102487 + -310125667/512435. Let k = f + 605. Sort 4, k, 0.1, 1/4 in increasing order. k, 0.1, 1/4, 4 Let i = 7449 + -7446. Let a = -32 - -31. Put i, -49, a in decreasing order. i, a, -49 Suppose -8*h + 225 = -5*j, -3*h + 8*j - 4*j = -95. Put h, -4, -3, -1 in ascending order. -4, -3, -1, h Let i = 2 - 24. Let c = -10430 - -10429. Put c, -0.3, i in decreasing order. -0.3, c, i Let b = 8391 + -8395. Put 2, 101, b, 1 in decreasing order. 101, 2, 1, b Suppose 0 = 4*c + 4*q + 24, 5*c = c - q - 27. Let n(s) = -s**2 - 7*s - 4. Let h be n(c). Suppose l + 9 = -3*z, 22*z + 15 = l + 17*z. Sort 8, h, l, 2. h, l, 2, 8 Suppose -20 - 2 = -11*u. Let s be (10/(-8))/5*(0 - u). Let w = -2 + 1.9. Sort s, 2, w. w, s, 2 Let o = 22159005/1149064 + -116919/4828. Let f = o - -9/2312. Let g = f + 38/7. Sort 2, g, -1, 0.4. -1, 0.4, g, 2 Let v = 4.6 - 5. Let m(r) = 101*r + 18. Let a be m(0). Sort 6, v, a in ascending order. v, 6, a Let n = -83 + 81. Let p be -3 + 3 + -1 + 11 + n. Suppose p*a - 5*a = 3. Sort -4/7, a, 1.6. -4/7, a, 1.6 Let f = -276.6061 - 0.5439. Let x = f - -277. Sort x, -0.2, -1/4 in decreasing order. x, -0.2, -1/4 Let g = 302.2 - 302.1. Sort 1, g, 1/19 in increasing order. 1/19, g, 1 Let t be 120/56*-7 - -10. Sort 4, -4, t, -46, -3 in decreasing order. 4, -3, -4, t, -46 Let k = 0 + 0. Let a be 1*((-12)/132 - (2132/143 - 14)). Put a, 5, 3, k in decreasing order. 5, 3, k, a Let k = 4580 - 4542. Sort k, 4, 0, 5, -1 in decreasing order. k, 5, 4, 0, -1 Let d = 99392 - 99422. Let o = 3 - 1. Put o, 0, d in decreasing order. o, 0, d Let h be 0 + -2 + 3 - 2. Let p be ((-4)/2 + 43 + -44)/1. Sort 1/4, h, -2/13, p. p, h, -2/13, 1/4 Let c = -0.219 + -0.055. Let t = -1.274 - c. Put t, -0.1, -3/7, -3 in ascending order. -3, t, -3/7, -0.1 Let t(v) = -34*v**2 + 304*v + 18. Let b be t(9). Let n = -0.04 - -0.08. Sort 1/6, n, b in descending order. 1/6, n, b Let f = -201 + 201. Let z = -3 - 1. Let p = 2 + z. Sort f, -1/8, p, -2/23 in increasing order. p, -1/8, -2/23, f Let o be ((-42)/33)/7*(9 + (-29)/2). Let z be (-1)/1 - 12/(-7). Sort -4, o, z in descending order. o, z, -4 Suppose q + 2*j + 14 = 3*q, 2*j = -4*q + 22. Suppose -3*x - 6 = 3*u, q*u - 8 = -x + 10*u. Put x, -1, 8, 1 in descending order. 8, 1, x, -1 Let x = -1966.2 + 1966. Let c = 2.11 + 131.89. Sort 5, x, c in increasing order. x, 5, c Let s be (40 + -5)/(-315) + 13*2/(-90). Put s, -1/6, -1/3, -9, 0.2 in decreasing order. 0.2, -1/6, -1/3, s, -9 Let l = 187 + -188. Let x = 0.76 + 0.14. Let t = x + -0.6. Sort -4, t, l, 0 in ascending order. -4, l, 0, t Let t(v) = 6*v**3 - 4*v**2 + 7*v - 4. Let j be t(1). Sort 2, -5, j, 103. -5, 2, j, 103 Let v = 250 + -246. Suppose -v = -9*s - 22. Put -4, 12, s, 0 in decreasing order. 12, 0, s, -4 Let i be 4/(-10)*(-2730)/48. Let j = 22 - i. Let x = 0.00296 + 0.39704. Put -2/13, j, x in increasing order. j, -2/13, x Let n = 4.9487 + 0.0513. Let f be (-15)/(-20)*(-25)/15. Let u = 0.17 + -1.17. Sort n, f, u, 44 in decreasing order. 44, n, u, f Let i = 23 - 9. Suppose -i + 4 = -2*p. Let r = 19/4 - p. Put r, -0.5, 3 in decreasing order. 3, r, -0.5 Let i = 442 + -437. Let z(p) = p**2 - 9*p - 19. Let s be z(10). Let l = -16 - -14. Put l, i, s in descending order. i, l, s Let w = -35 - -39. Suppose 22 = v - 4*p, 38*p - 2 = 4*v + 37*p. Sort 5, v, -17, w. -17, v, w, 5 Let f(d) = 8*d - 67. Let b be 72/24 - (0 + -5). Let v be f(b). Let r be 2/(-7) + (-2)/(-7). Sort r, v, 2, 5 in descending order. 5, 2, r, v Suppose 2*w - 6 = 5*w. Suppose -3167*f + 3190*f - 69 = 0. Put f, w, -7 in descending order. f, w, -7 Let k = 131 - 131. Let b = -90 + 85. Put b, 11, k in decreasing order. 11, k, b Let m = -2 - -7. Suppose 60*r - 1182 + 1362 = 0. Let y(k) = k + 4. Let u be y(-4). Sort m, u, r, 2 in increasing order. r, u, 2, m Let m = -1.8 - -2. Let a = -26.808 + 26.708. Put a, -0.026, m in ascending order. a, -0.026, m Let q = 179 + -335. Let x = q + 155.8. Sort 4/9, -4, x. -4, x, 4/9 Let c = -27537 - -412744/15. Let b = c - -102/5. Sort -1, -6/13, b, 1 in ascending order. -1, -6/13, b, 1 Let k(x) = -2*x - 20. Let b be k(-18). Suppose 0 = -b*j - 21*j - 74. Let a(d) = d + 1. Let p be a(2). Sort j, 2, p in descending order. p, 2, j Let n be -3 + -2 + (-74)/(-28). Let a be (-7)/28 + 0 - 142/(-56). Let v = a + n. Put v, 0.5, -0.1 in decreasing order. 0.5, v, -0.1 Let g be (-2)/4*(55602/(-2646) + 21)*1. Let r = -779 + 6043/7. Let i = -84 + r. Sort 4/3, g, i, 2 in decreasing order. 2, 4/3, i, g Let v = 3703 + -3704. Sort -185, 2, v, 1. -185, v, 1, 2 Let i = 78 - 74. Let k be (-115)/30 - i/24. Sort 3, k, 16. k, 3, 16 Let x = 0.08983 - 0.25583. Sort x, -6, 2/3 in decreasing order. 2/3, x, -6 Suppose 0 = -49*y + 54*y. Let k(h) = -3*h - 1. Let b be k(y). Let v be 2*(-3)/(48/20)*2. Sort b, v, 16 in increasing order. v, b, 16 Let x = -6893/6 - -3439/3. Sort x, 1/2, -2/3, -0.4 in decreasing order. 1/2, -0.4, -2/3, x Let a = 90.11 + -90.18. Put -7, -0.11, a, -3/7, -0.2 in increasing order. -7, -3/7, -0.2, -0.11, a Let z be -7 - (-11693)/1595 - (-4)/(-10). Let n = z + -17/174. Put 1, -0.07, n, -0.5 in decreasing order. 1, -0.07, n, -0.5 Suppose -12715 = -43*o - 11253. Put 4, 42, o in descending order. 42, o, 4 Suppose 12 = -l - 3*l. Let h = -12463 - -12462. Sort -4, 0, h, l in decreasing order. 0, h, l, -4 Let i = -1483 - -1484.3. Sort -3/10, -5, i in decreasing order. i, -3/10, -5 Let g = 34.99 - 25.769. Let o = g + -0.021. Let s = -5.2 + o. Sort 0.4, -2/9, s in descending order. s, 0.4, -2/9 Let b = 182/43 + -632/129. Put b, 4, -2/15, 3, -2/5 in descending order. 4, 3, -2/15, -2/5, b Let f = 87/32 + -197/96. Sort -4, -3, -12/5, f, 3/4. -4, -3, -12/5, f, 3/4 Suppose 3*b + 18 = 0, -2*t = 87*b - 88*b - 32. Suppose 3*s - 5*s - 10 = 0. Put 4, s, t, 3 in ascending order. s, 3, 4, t Let f = -0.6962 + 0.7962. Put 3/17, -0.5, f in ascending order. -0.5, f, 3/17 Let a(v) = v**3 - 3*v**2 - v - 8. Let l be a(3). Let g be -3 + ((-39)/52)/((-3)/20). Sort g, 4, l. l, g, 4 Let y = 78.7 - 75.7. Let i = 269/825 - -2/275. Sort 0.18, i, -2/7, y in ascending order. -2/7, 0.18, i, y Suppose -5*j = -2*h - 0*h + 298, -h + 62 = -j. Let n = -68 - j. Let t be 532/140 + 1*(-2)/n. Sort t, -2, 1, -3 in increasing order. -3, -2, 1, t Suppose 0 = 2*p + 2 - 4, r - 9 = -5*p. Suppose 4*v = -r*j + 20, -2*v - j = -2*j - 10. Put 10, 2, -2, v in ascending order. -2, 2, v, 10 Let h be (-1)/(4/(-6))*344/12. Suppose 0 = -4*k - 3*v - 98, 4*v - h = 3*k + 18. Sort 3, 5, k. k, 3, 5 Let b = 888 + -483. Let d be 4 + (-9)/(b/170). Sort 2, d, -0.04 in increasing order. -0.04, d, 2 Suppose 51 - 93 = 2*r - 4*c, -2*c + 3 = r. Suppose -3*v - 5*z + 8 = 0, -5*v = -5*z - 39 - 1. Sort -1, v, r, 4 in increasing order. r, -1, 4, v Let g be (-106)/(-110) - (-20)/(-55). Let t = -1 + 6. Let q = 1 - 0.7. Put t, q, g in ascending order. q, g, t Let n = 1974 + -1973. Let z(a) = 2*a**2 - 5*a + 2. Let x be z(3). Let t be (27/(-12))/((-1)/(-4)). Sort x, t, n in increasing order. t, n, x Let z = 335 - 336. Let a = 74 - 76. Sort -4, z, a. -4, a, z Let k = 1181 + -1181.09. Let q be -2*3*5/6. Put -0.1, q, 3, k in decreasing order. 3, k, -0.1, q Let v(k) be the third derivative of -k**5/60 - k**4/6 + k**3/3 + 3*k**2. Let c be v(-4). Suppose 313*w - 323*w - 60 = 0. Sort c, w, -5 in decreasing order. c, -5, w Let z = -2.04 - -0.04. Let q = 52459 + -52455. Put q, -0.8, z in decreasing order. q, -0.8, z Let d = 7.95 + -8.35. Let a = 81.6 + -81. Put -19, a, d in decreasing order. a, d, -19 Let g = -5.5 + 121.4. Let f = -116 + g. Let y = -6 + 8. Sort -1.1, y, f in decreasing order. y, f, -1.1 Let f(s) = -s**3 + 17*s**2 - 4*s - 14. Let z be f(7). Let y be 1 + 1 - 8/(z/105). Put 1, -1/3, -2, y in ascending order. -2, -1/3, y, 1 Let v be (336/(-4))/(-14) + 276/(-42). Sort -2/3, 3/2, -15, v, -0.1. -15, -2/3, v, -0.1, 3/2 Let u(h) = -h**3 + 9*h**2. Suppose -4*q + 2*q + 28 = 2*y, -y + 29 = 4*q. Let i be u(y
{ "pile_set_name": "DM Mathematics" }
(-4) + 6/d. What is the third smallest value in -4, z, 4/3, -5? z Let v = 0.5 + 3.5. Let b = 0.1906 - -0.8094. Let h = v + b. What is the third smallest value in -1, h, -0.1? h Let d = 1.0851 - -0.0149. Which is the second smallest value? (a) 11/6 (b) d (c) 5 a Let c(a) = -2*a**3 - 53*a**2 - 29*a - 76. Let n be c(-26). What is the smallest value in 4/59, 1, n? 4/59 Let j = 2/2257 - -4508/6771. Which is the second biggest value? (a) 17 (b) 0.1 (c) j (d) -0.09 c Let s = -0.4 + 8.4. Let j be (-6)/7*(-63)/(-81). Which is the second smallest value? (a) -5 (b) s (c) j c Let u = 8 + -11. Let w be (-2)/(u/9 - 0). Let l be (0 - 6/9)/(45/(-54)). Which is the second biggest value? (a) -1 (b) w (c) l c Let v = 3 + -21. Let t = 6.3 + v. Let m = -12 - t. What is the third biggest value in 0.2, -2/11, m? m Let j = -0.09 + -0.31. Let t = -25/3 - -26/3. What is the second smallest value in t, 0.3, j? 0.3 Let s = 23 - 45. Let y = 759.5 - 758.5. Which is the third biggest value? (a) s (b) y (c) 5 a Let j = -8.724 - 0.076. Let i = 4.8 + j. Which is the second biggest value? (a) 5 (b) i (c) -1/7 c Suppose -7*s = -11*s - 84. Let v = s - -191/9. Which is the second biggest value? (a) 9 (b) v (c) 0.2 b Suppose -3*p = 3*f - 12, 3*f - 7*f + 3*p + 23 = 0. Which is the second smallest value? (a) -3 (b) -1/6 (c) f b Let t = -6.3 + 82.3. Let h = t + -52. Let v = h + -19. Which is the smallest value? (a) -1/4 (b) -5 (c) v b Let j = -26.66 - -26. Let o = j - 1.34. What is the third biggest value in -5, 2, o, -0.2? o Suppose -62*w + 78*w = 0. Let k = 4.2 - 0.2. Which is the third biggest value? (a) 2 (b) k (c) w (d) -3 c Suppose 2*g + 57 + 5 = 0. Let i = g - -28. What is the second biggest value in -4, i, 9? i Let h = -28 + 28.46. Let d = 2.54 + h. Which is the second biggest value? (a) 0 (b) d (c) -0.2 a Let p = -155 + 1083/7. Which is the smallest value? (a) p (b) -4 (c) -5 c Let z be 6/14 + 27/(-14). Let a(q) = -2*q**3 + 21*q**2 + 11*q + 1. Let w be a(11). What is the biggest value in z, -2/9, w? w Let r be (-100)/154 - (-28)/77. Which is the biggest value? (a) r (b) -0.18 (c) 0.1 c Let i = 20.4 - 19. Let w = -4 - -3. Let v = i + w. What is the smallest value in 3/8, v, 3/4? 3/8 Let y = 237 + -1893/8. Let q = -216 + 215.01. Let j = q + 0.09. Which is the second smallest value? (a) y (b) j (c) -1 b Let n = 0.3 + -0.1. Let m = -64 + 30. Let u = m + 33.9. Which is the third smallest value? (a) u (b) n (c) 2 c Let l(z) be the third derivative of z**5/60 - z**4/8 - z**3/3 + 3*z**2. Let f be l(3). Let b = 2.5 + -3. What is the biggest value in f, b, -5? b Let s = 1272 + -1271.6. Let f = 7.802 - -0.098. Let m = f + 1.1. Which is the smallest value? (a) s (b) -1/6 (c) m b Let l = 6 - 2. Let u be 6/(-2) + 72/40. Let m = u - -11/10. What is the smallest value in m, -3, l? -3 Let g = -93/10 - -19/2. Let z = -33 - -36. Let l be 10/4*(-2)/(-30). Which is the second smallest value? (a) l (b) z (c) g c Let k = -53 - -26. Let x = k - -14. Let l = x - -15. What is the smallest value in -2/5, l, -1? -1 Let a be ((-54)/15)/6*30/27. What is the third biggest value in a, 5/3, -74, 0.3? a Let g = 0.35 + -0.35. Let r(z) = z**2 + 2*z - 1. Let j be r(-3). What is the third smallest value in g, j, -0.5, -3? g Let k = -6 + 5. Let s = 42 + -38.3. Let h = -4 + s. Which is the third smallest value? (a) -4 (b) h (c) k b Let v = 485 - 489. Let q = -643/7 + 92. Which is the fourth smallest value? (a) v (b) q (c) -0.4 (d) 0.3 d Let a be (-2849)/1001 - (24/(-13) - -2). Let b = 0.2 - 0.4. What is the second smallest value in a, 1, -1/9, b? b Let a be (6/32)/((-6)/4). Let b(j) = j**2 + 14*j + 5. Let o be b(-14). Suppose 3 = 2*d + o. What is the second smallest value in a, d, 0? a Suppose 13 = 3*s - t, -4*s - t + 33 = 11. Let f = -2 - -4. Suppose f*b - 3*j = 5, b + s*j - 13 = -b. What is the second biggest value in b, 0.1, -1/4? 0.1 Let x = 779/232 - 72/29. Let g = -1/8 + x. Which is the smallest value? (a) g (b) -14 (c) 0.1 (d) -3 b Let s = 71.6 + -31.6. Which is the third smallest value? (a) s (b) -1/2 (c) -0.4 a Let a = -52.7 - -48. Let v = 6.7 + a. Let h = -3.91 + -0.09. What is the third biggest value in -0.4, h, v? h Let p = 0.01 - -0.05. Suppose 0 = 2*y + n - 4, -76 = 3*n - 70. Which is the second biggest value? (a) p (b) y (c) -2 a Let t(x) = -x**2 - 52*x + 104. Let l be t(-54). Which is the fourth smallest value? (a) 5 (b) l (c) -23 (d) -3 a Let j = -4.05 + 0.05. Let m = 407.8 - 412.8. Which is the fourth biggest value? (a) j (b) 6 (c) 0 (d) m d Let f = -1111.5 - -1112. Which is the fourth biggest value? (a) -0.2 (b) f (c) 1/9 (d) -21 d Let g = 132.3 + -136.3. Which is the smallest value? (a) g (b) -0.1 (c) -99 c Let m be (-11*2/4)/(-5 - -3). What is the second smallest value in m, 0.2, -2/7? 0.2 Let h = -37 + 33. Which is the third smallest value? (a) -2/11 (b) h (c) 0.3 c Let q be (-3)/(-15)*-3*5/12. Which is the second smallest value? (a) q (b) -16 (c) -5/4 c Let m = -0.5 + 0.7. Let t = -0.5 + m. What is the smallest value in t, -0.5, -4? -4 Let y = -897.5 - -898. Which is the biggest value? (a) 128 (b) 0 (c) y a Let t = -27.7 - -28. What is the second smallest value in -15, -0.4, t? -0.4 Let d = 4901 + -4902. Let j = -0.2 - -0.3. Let w = 0.2 - j. What is the third biggest value in w, d, -5? -5 Let r be 1/2*(0 - (1 + -1)). What is the third biggest value in r, 3/23, 2/5, 2/3? 3/23 Let l = 0.342 + -2.342. What is the smallest value in 3, -5, -14, l? -14 Let q be ((-20)/(-70))/((-4)/84*-5). What is the smallest value in 99, -2, q? -2 Let r = -11 - -52. Let n = 42 - r. Let w = -436 - -7414/17. Which is the third smallest value? (a) n (b) w (c) -4 a Suppose -8*g - 43 = 21. Suppose 2 = -z - 2*m - 0, -4*z - 18 = -2*m. Let o = z - g. Which is the biggest value? (a) -4 (b) -2/9 (c) o c Let m = -0.044 - 6.256. Which is the third biggest value? (a) m (b) -5 (c) 1 a Let j = 588 + -589. Let u = -492 - -23126/47. Which is the smallest value? (a) j (b) 4/3 (c) u a Let k = 225 - 677/3. What is the third biggest value in -2, 3, k? -2 Let s(i) = -i**2 + 12*i + 31. Let n be s(15). What is the smallest value in 1/4, 4, n? n Let n = -11 + 16. Suppose -11*y + 16 = 2*l - 15*y, 4*l - y - 4 = 0. Which is the third biggest value? (a) n (b) l (c) 1 b Let h = -2 + 3. Suppose -3*i - 3*s = 2085 - 2112, 0 = 3*i - 4*s + 36. Let g = -7 - -4. What is the second smallest value in i, g, h? i Suppose -21*j + 22*j = 4. Suppose -5*y = -j*n - 52, -2*y - 2*y + 44 = -4*n. What is the smallest value in 0.1, y, 0? 0 Let m = 0.138 - 0.098. Let w = 0.2 + -0.4. What is the smallest value in w, -3, m? -3 Let q = 416.01 + -421. Let l = q + -0.01. Which is the second biggest value? (a) -5/6 (b) l (c) 3/2 a Suppose 8*g - 4*g - 120 = 0. Let r be ((-1)/3)/((-2)/g). Let m = -1.2 + 0.2. What is the biggest value in -0.4, m, r? r Let p = -259 + 259.3. Let s = 1 + -2. Which is the fourth smallest value? (a) p (b) 5 (c) s (d) -1/13 b Suppose 0 = -13*h + 115 - 37. Which is the fourth smallest value? (a) 0.4 (b) 4 (c) h (d) -1 c Let m = -0.205 + 5.205. Which is the second smallest value? (a) 0.4 (b) m (c) 7 b Let t = 16 + -16.036. Let c = t + 0.246. Let v = c + 0.09. What is the smallest value in 2, -3, v? -3 Let y = 1 + -4. Let n = -4 - y. Let u = 11 - 11.5. What is the third smallest value in u, -0.2, n? -0.2 Let l = -839/4 - -210. Which is the second smallest value? (a) l (b) 0.1 (c) -5 b Let o be (-208)/24 - (4 - 12). Which is the second biggest value? (a) 4 (b) 2.86 (c) o b Let t = 1.6 - 8.6. Let j = t + 7. Let q(f) = -f**2 + 3*f + 7. Let y be q(5). Which is the second smallest value? (a) j (b) -5 (c) y c Let o = -250 - -1747/7. What is the third biggest value in 7/2, 8, o? o Let u(n) be the first derivative of 3*n**2 - 2*n + 3. Let x be u(-4). Let q = x - -29. What is the biggest value in -2/7, -2/9, q? q Let t = -0.127 - -3.947. Let s = 0.18 + t. Which is the third biggest value? (a) 0.08 (b) 2/9 (c) s a Let s(t) = t**3 + 45*t**2 + 87*t + 38. Let m be s(-43). What is the second smallest value in 3, m, 3/5? 3/5 Let n = -522.96 - -523. What is the second biggest value in 10, n, -1? n Let y = 0.174 + -0.074. Which
{ "pile_set_name": "DM Mathematics" }
ch is the nearest to -2? (a) -0.04 (b) 75782 (c) 4 a What is the closest to 1.7 in 2/7, 11.9, 7, 1.1? 1.1 Which is the closest to -19? (a) 172 (b) 0.1 (c) -2 (d) -1/2 c Which is the closest to -2/611? (a) -4 (b) -13 (c) 2/5 (d) -1 (e) 4 (f) 14 c What is the closest to 0.39 in -1/7, -0.05, -55/2, 4, -3, 26? -0.05 Which is the nearest to -17646? (a) -18 (b) -1/7 (c) 16 (d) -1 (e) 0.5 a Which is the nearest to 2/14187? (a) -7 (b) 2 (c) 3 b Which is the closest to -2? (a) 1.2 (b) 1/4 (c) -2/3 (d) -794 (e) -3/4 e What is the nearest to -10 in -0.2, 4, 1/74, -0.19, -2? -2 What is the nearest to 2106 in -0.01, -0.4, 137? 137 What is the closest to -31/11 in 3/7, -7/1185, 0.5? -7/1185 Which is the nearest to 2/3? (a) -2 (b) -0.29 (c) 3898/11 (d) 1 d What is the nearest to 0.5 in -5/4, 132870, 0.1? 0.1 What is the closest to 5 in 1135, 1/4, -2/13, 3? 3 Which is the closest to -5? (a) -0.1 (b) -166 (c) -0.05402 a Which is the closest to 0.7? (a) 89 (b) -1/179 (c) 0.017 (d) 1/2 (e) 3 d What is the nearest to 34 in 3.5, 1583, 1/5? 3.5 Which is the nearest to 0? (a) -2/9 (b) -3/5 (c) -0.3 (d) 16 (e) -2/1343 e What is the nearest to 5.2 in 40, -5, 5/4, 3, 170? 3 Which is the closest to -0.1? (a) 23440.34 (b) 5 (c) -5 (d) -2/19 d What is the closest to -1 in -3/5, -21.4, 4, 0, 0.014? -3/5 Which is the nearest to 0? (a) -7 (b) 1/5 (c) -9051 (d) 9 b Which is the nearest to 0.1? (a) 1/7 (b) 692 (c) 6/13 (d) -11 (e) 2/49 a Which is the nearest to -264? (a) 16/5 (b) -0.8 (c) -9 (d) -1 c What is the nearest to -0.63 in 1/13, 120, 9? 1/13 What is the closest to 2 in -3/7, 1/40, 5, 4, -11? 1/40 What is the closest to -1 in -12, 199/4, -1, -0.1, 1/10? -1 What is the nearest to -4 in -6/7, -29, 0.24, 2? -6/7 What is the closest to 2/13 in 1, -19/4057, -3? -19/4057 Which is the closest to -34? (a) 2/9 (b) -4/857 (c) 1/2 (d) 4 (e) -2/19 e Which is the nearest to -2/3? (a) -3/5 (b) 2 (c) 1/7 (d) -0.09 (e) 0.366 (f) 7 a What is the closest to 0.2 in -4, 1/16, 514, -3, -5/2, 2/9? 2/9 What is the closest to 2/997 in 1, -28, 10.8? 1 Which is the closest to -3? (a) 53 (b) -148 (c) -18 (d) 0.1 d What is the nearest to -2080 in -3/4, -2/13, -3/7, 3, -45? -45 Which is the closest to -8? (a) 5 (b) -7 (c) 3/8 (d) 0.04 (e) 3 b What is the nearest to 3 in 2, 7/5, 0.09, -46, 0? 2 Which is the nearest to 24747? (a) -0.32 (b) -6 (c) 3 (d) 0.5 c Which is the nearest to -81? (a) -2 (b) 0 (c) -330 a What is the closest to -1 in -100, 234, -3, -0.051? -0.051 What is the closest to -16 in -4, 14.8, 1, 119, -4/7? -4 What is the closest to 2/9087 in -5, -0.4, 4/63, -0.03, -4, 0? 0 What is the nearest to 2.4 in -5942, 0.13, -0.5? 0.13 What is the closest to -2/3 in -73802/15, -1, -0.5? -0.5 Which is the nearest to 19? (a) -21 (b) -59 (c) -4/9 (d) 4 d What is the nearest to -5.11 in 0, 0.2, -0.1, 0.1, -35? -0.1 What is the closest to 1 in 0.5, -17/212, -57? 0.5 What is the nearest to 0.1 in -0.989, -1.459, -2/5? -2/5 What is the closest to 313.3 in -2/9, -6, 1/3, 2? 2 What is the nearest to 2.7 in 5, -53/7, 1/2, -2? 1/2 Which is the closest to -0.1? (a) 0.01 (b) -0.3839 (c) 0.9 a What is the nearest to 0.3 in -5, -22546, 1, 2? 1 Which is the nearest to -0.19247? (a) 2 (b) -19 (c) 3 a What is the nearest to -0.14 in -3, 0, 121, 2/133, -3/5? 0 Which is the nearest to -6? (a) 160 (b) 0 (c) -1 (d) 2080 c Which is the nearest to 0? (a) 0.06 (b) -2/8377 (c) -0.04 (d) 17 b What is the nearest to -1 in 1122, 3/44, -26, -36? 3/44 What is the closest to 0 in -0.4, 43.1745, -2? -0.4 What is the nearest to 237 in 3, 4/5, -0.3, 5/7, 5? 5 Which is the nearest to 23? (a) 1/7 (b) -117 (c) -17/300 a What is the nearest to 0 in -90, 0, 5/529, -3, -0.4? 0 Which is the closest to 0.1? (a) -0.5 (b) -0.4 (c) 0.2 (d) 56/179 (e) 2 c What is the nearest to 49 in -14, 0.741, 0.5, 0.3, -4? 0.741 What is the closest to 3/8 in -57, 5, 42, 0.3, -2/19, -0.1359? 0.3 What is the nearest to 11 in -314, -3/2, 10? 10 What is the closest to -1 in 4, 5, -6/251, -537? -6/251 What is the nearest to -69/2 in -41.51, 0.5, 0? -41.51 What is the nearest to -7110 in 3, -0.33, -161? -161 Which is the closest to 1? (a) -2/93 (b) -0.5 (c) -13914 (d) -1 (e) 4/7 e What is the closest to -2 in 0, -46, 15, -74, -2? -2 What is the closest to -7 in -1.151, 1, 5, -76? -1.151 Which is the closest to 2? (a) -4 (b) 12 (c) -0.3325 (d) 1/7 (e) -2 d Which is the closest to 0? (a) 2/9 (b) -49342 (c) -2/7 (d) -4/5 a What is the nearest to 0.41 in -1, 60/11, -1/3, 0.5, 2605? 0.5 Which is the closest to 0.884? (a) -0.06 (b) 0.07 (c) 3/10 c Which is the nearest to -0.07? (a) 22 (b) 0.028 (c) 3/8 (d) 1/126 (e) 4 d Which is the nearest to -1.2? (a) -4 (b) 5 (c) -0.02 (d) -0.06 (e) 1/5 d What is the closest to -28 in 0.5, 2/159, -5441, -0.4? -0.4 What is the nearest to 1888 in 0.04, -17, -2/7, 0, -2/9? 0.04 Which is the nearest to -2/2349? (a) 5 (b) -4 (c) -14 (d) -1/2 (e) 2/19 e Which is the nearest to 0.01? (a) 64931 (b) 1 (c) -11 b Which is the closest to 0.13? (a) -82 (b) -1.6 (c) 3/7 (d) -5 (e) 1 c Which is the nearest to -2? (a) -55 (b) 1/2 (c) 220379 b What is the nearest to 0 in 3954246, 0.7, -6/5? 0.7 Which is the nearest to 17? (a) 1/3 (b) -0.001 (c) -3 (d) -25/7 a Which is the nearest to 883? (a) -13 (b) -0.11 (c) -0.4 (d) 3/2 (e) -4 (f) 4 f Which is the closest to 1? (a) 4/7 (b) 3 (c) -4576 (d) 4 (e) -5/4 a What is the nearest to -0.2 in -539, 4/27, 0.5? 4/27 What is the nearest to 8 in 2, 106, 2/9, 0.02, 5? 5 Which is the closest to -5.723? (a) -153 (b) 1/2 (c) 4 (d) -2 (e) -3 e Which is the nearest to 8.5? (a) -216 (b) -0.2 (c) -1 (d) -0.39 (e) 0 e Which is the nearest to 33/4? (a) 3 (b) 1.2 (c) 0.2 (d) -0.7 (e) 2/5 a What is the nearest to -35/3 in 2/25, 5, 2397? 2/25 Which is the nearest to 0? (a) 2.774 (b) 130/9 (c) 2/3 (d) -1/10 d Which is the nearest to -216/55? (a) 0 (b) -0.5 (c) 17 b Which is the nearest to -8? (a) 0 (b) -268762 (c) -5 c Which is the closest to -2? (a) 9 (b) 2/13 (c) 0.61 (d) 1.3345 b What is the nearest to 0.2 in -3344.18, -2/13, -0.4? -2/13 What is the nearest to 0.2 in -1.6, 6755, 1/5? 1/5 What is the closest to 9 in -172, -1, 3, -3, -0.218? 3 Which is the nearest to 4470? (a) 0.4 (b) -3 (c) 3 (d) 9 d Which is the nearest to 3.6? (a) -5 (b) -0.2 (c) 24 (d) -1/4 b Which is the nearest to 0.4? (a) -0.38 (b) 2/15 (c) 1/2 (d) -581 c What is the closest to 3/5 in -2/11, -0.2, 0.57, -15148? 0.57 Which is the nearest to -55/3? (a) -2/3 (b) -13/4 (c) -0.1 (d) 2/5 (e) -7 e Which is the closest to -23/7? (a) -23 (b) 1973 (c) 0 c What is the nearest to -0.2 in -2, -1/2, 9423528? -1/2 Which is the closest to 2? (a) -1.3 (b) -15078 (c) -37 a What is the nearest to 2/3 in 7/18, 1/2, 2, 1245, 5? 1/2 What is the closest to -3 in 1740, 190, -4? -4 Which is the closest to -1? (a) -3658085 (b) 2/7 (c) 0.4 b Which is the closest to -12? (a) 4 (b) 30 (c) -2 (d) -5/103 (e) 5 c What is the closest to 0.6 in -4/5, -3/974, -0.1, 5, 7, 0.28? 0.28 What is the closest to -2 in -2848, 159, 1/14? 1/14 Which is the closest to 0? (a) 1 (b) -3 (c) 0.4 (d) -15/2 (e) -1632 c Which is the nearest to -1? (a) -3/4 (b) 609 (c) -29 (d) -15/7 a What is the nearest to 0 in -24821.3, 2, 0.5, -28? 0.5 What is the closest to 11 in -0.2, 349, 0.006, -19? 0.006 What is the nearest to 147273 in 2/7, -1/7, 4, -1/5, 1.3, -0.5? 4 What is the nearest to 3 in -3/4715, 5, 2, -17, -2/17? 2 What is the nearest to -2/7 in -17, -0.04, 3/7, 19, -0.325? -0.325 Which is the closest to -0.2? (a) -17 (b) 1/5 (c) -449043/17 b What is the nearest to -1/3 in 1, -1/5, 0.3, -0.011, -2016? -1/5 What is the closest to 53.6 in -0.21, -87, -2/15? -2/15 What is the nearest to 0.1 in 2/11, -2/5, -2209.9, -1, -4? 2/11 What is the nearest to -2 in -98, -5.442, 3? -5.442 Which is the closest to -1? (a) -77.5 (b) -2/7 (c) -28 (d) -2 (e) -117 b What is the nearest to -2 in -2/3, 0.4, 11, 0.1, -2, -5108? -2 Which is the nearest to 3584? (a) -1/9 (b) 5 (c) -2/247 (d) -5 b Which is the nearest to 0? (a) -0.02 (b) -4 (c) -71 (d) -0.0235 a Which is
{ "pile_set_name": "DM Mathematics" }
3*j**4 - 2*j**4)*(165*j - 316*j - 406*j)*(1 + 4 - 4)*(0 - 4 + 2)*(-1 + 0 + 6). -11140*j**5 Expand 3*r**5 - 2*r**5 - 3*r**5 + (0*r**5 + 4*r**5 - 3*r**5)*(-1 - 1 + 0) + r**5 + 2*r**5 - 5*r**5 - 19*r**5 + 38*r**5 - 9*r**5 + 124*r**5 - 32*r**5 + r**5. 97*r**5 Expand (-1 - 2 + 4 + (-1 + 3 - 4)*(2 + 0 - 1))*(77232*u - 77230*u + 17415 + 14785). -2*u - 32200 Expand (5608 + 956 + 1079)*(0*t**5 - t**5 - 2*t**5). -22929*t**5 Expand 3*k - 5*k + 4*k + (-1 - 1 + 5)*(-2 + 2 + 18*k). 56*k Expand (-6*s + 6*s + 6*s**3)*(0 + 5 - 12 + 3 + 0 + 0 + (0 + 4 - 5)*(1 - 1 - 1)). -18*s**3 Expand (-7*x + 13*x - 4*x)*(-1 - 2 + 1)*(-28*x + 37*x + 28*x). -148*x**2 Expand (-1 + p + 1)*(p + p**4 - p) + 149*p**5 - 58*p**5 - 86*p**5 - 52. 6*p**5 - 52 Expand (-u + 3*u - 3*u)*(1019 + 788 + 1012). -2819*u Expand (7661*b**4 - 511*b**5 - 7661*b**4)*(-1 + 2 + 0). -511*b**5 Expand (4*v**2 - 4*v**2 - v**3)*(3 + v - 3)*(-2536 - 1130 - 963). 4629*v**4 Expand (482*o - 489*o + 40 + 202)*(-1 + 1 - 2*o) + 2*o**2 + o - o. 16*o**2 - 484*o Expand (1562*h**4 - 81*h**4 + 1659*h**4)*(-6 - h + 6). -3140*h**5 Expand (3 + 1 - 2)*(2*r + 3*r - 3*r) + 1727*r + 287*r - 148*r. 1870*r Expand (-6 + 6 + z)*(-238 - 60 + 687). 389*z Expand (-264*d**4 + 10242 - 10242)*(-2*d + 4 - d + 4*d). -264*d**5 - 1056*d**4 Expand (-d - 3*d + 0*d - 2*d + 2*d + 2*d + (-1 - 1 + 4)*(0*d + d - 3*d))*((3 - 3 - 4*d)*(-3 + 1 - 3) + (0 + 3 - 2)*(-12*d - d - 11*d)). 24*d**2 Expand (-340 + 1176 - 494)*(2*w + w - 4*w)*(4*w + w - 3*w). -684*w**2 Expand (955*i - 170*i + 1069*i + 278*i)*(0 - 2 - 1 + (2 + 2 - 3)*(4 - 1 - 1)). -2132*i Expand (13*k**2 + 20 - 211 - 16*k**2)*(-k**2 + 3*k**2 + 0*k**2). -6*k**4 - 382*k**2 Expand (-183*j + 86*j + 116*j + 83*j + 26)*(3 - 6 + 2). -102*j - 26 Expand (5 - 5*r - 5)*((1 + 3 - 6)*(0 - 4 + 3) + 2 - 4 + 1 + 4 - 5 - 20)*(-3*r**2 + r**2 + 0*r**2)*(-15 + 15 + 7*r). -1400*r**4 Expand (784*b - 754*b + 613*b)*(-3*b + b - 2*b)*(4 - 2*b - 4). 5144*b**3 Expand (-4*k + 4*k + 2*k**2)*(2693*k - 5055*k + 4427*k). 4130*k**3 Expand (3*z + 2*z - 7*z)*(-838*z + 1522*z - 6 - 771*z) + (0 + 0*z + 1 + 2*z)*((z - 3 + 3)*(5 - 1 - 2) + 2*z - z + z). 182*z**2 + 16*z Expand ((4 + 0 - 3)*(-4 - 2 + 4) + 2 + 3 - 1)*(422*o + 266*o - 1066*o). -756*o Expand (0 + 4 - 3)*(3*g + g - 3*g)*(471*g - 53725 + 53725). 471*g**2 Expand (15*f + 14*f - 11*f)*(224 - 78 - 41 + 171)*(-1 + 2 + 1). 9936*f Expand (5 - 3 - 3)*(s**2 - 2*s**2 - 3*s**2)*(-2*s**3 + s**2 - s**2 + (-16*s**2 + 11*s**2 - 21*s**2)*(8*s + 0*s - 5*s)). -320*s**5 Expand (-4 + 2 + 3)*(0 + 2 + 0)*(118*s - 242*s - 65*s)*(-2 + 2 - 1). 378*s Expand (-1 + 3 - 7)*(2*z - 7*z + 2 + z) - 6*z + 30*z + 11*z + (-3 + 0 + 1)*(0*z + 3*z - z). 51*z - 10 Expand (1012 + 3020 - 2*s - 428 + 2447 - 280)*(1 + 0 - 2). 2*s - 5771 Expand (y + 5*y - 4*y)*(2 - 4 + 1 + (-4 + 4 - 2)*(-9 + 10 + 31) + 0 + 1 - 2 - 1 - 1 + 6 + (1 + 4 - 3)*(1 + 0 - 3)). -132*y Expand 3*g - g - 5*g + (-1 + 1 - g)*(-6 - 2 + 2) + (g + g - 9*g - 3*g - g + 2*g - 4*g + 4*g - 2*g + (5*g - 4*g - 3*g)*(0 + 3 - 2))*(0 - 4 + 2). 29*g Expand (-3*g + 3*g - 3*g)*(-8*g + 75*g - 21*g)*(0*g + 0*g - 5*g**2). 690*g**4 Expand (-u + 2*u - 3*u)*(-3*u**4 + 1014*u + 857*u - 558*u). 6*u**5 - 2626*u**2 Expand (0 + 0 - 2)*(-2*p + p - p) - 89*p + 265*p - 106 + 105 + 1861*p. 2041*p - 1 Expand (-223 + 223 + 13*l)*(l**2 - 3*l**2 + 4*l**2) + (-6*l**3 - 10*l**3 + 6*l**3)*(9 + 4 - 8). -24*l**3 Expand (-447 + 12*z**2 + 447)*(2 + 2*z - 2) + (-4 + 1 + 4)*(7*z**3 + 5*z**3 - 11*z**3). 25*z**3 Expand (0*m + 0*m - 3*m**4)*(-79 + 182 - 61)*(-2*m - m + 17*m). -1764*m**5 Expand (w**2 - 2*w**2 - w**2)*(2078*w**2 + 3618*w**2 + 1806*w**2). -15004*w**4 Expand -4047*x**2 + 4046*x**2 + 2*x**3 - 12 + 28 - x + x**3 + x + (4*x**2 - 6*x**2 + 3*x**2)*(x - x + x). 4*x**3 - x**2 + 16 Expand (-2*h**2 + 2*h - 2*h)*(4*h**3 + 1613 - 1617 + 2*h**3). -12*h**5 + 8*h**2 Expand (2*j - j - 3*j)*(2*j**2 - 18*j**2 + 5*j**2) + (-87 + 98*j**3 + 87)*(-1 + 1 - 2). -174*j**3 Expand (-1 + 0 + 0)*(200*p + 74*p - 13*p) + (-7*p + 14*p + 3*p)*(-1 + 2 + 0). -251*p Expand (-5125 - 2425 - 2752 - 5137 + 2916)*(-g**5 + 2*g**4 + 2*g**5 - 2*g**5). 12523*g**5 - 25046*g**4 Expand (2678*x + 1203*x + 335*x)*(0 - 1 + 2). 4216*x Expand 18*p - 24*p + 11*p - p**2 + (5 - 7*p - 5)*(-7*p + 419 - 419). 48*p**2 + 5*p Expand (15 - 2*a - 15)*(-316*a + 103*a + 48*a + 108*a). 114*a**2 Expand -409*f**4 - 299*f**4 + 1196*f**4 + f**4 - 6*f**4 + 3*f**4 - 9*f + 2*f**4 + 0*f + 0*f + (f - 2*f + 2*f)*(-2*f**3 + f**3 + 2*f**3). 489*f**4 - 9*f Expand (-6173*s**3 - 25*s**3 + 930*s**2 - 931*s**2)*(0 + 2 - 1). -6198*s**3 - s**2 Expand (-107*w - 231*w + 169*w)*(-w**2 - 3*w**2 - w**2). 845*w**3 Expand (1 + 13 + 10)*(-5 + 2 + 1)*(589 - 589 + 61*j**2). -2928*j**2 Expand (54*i - 85 + 65*i - 116*i)*(15*i**4 - 914*i + 914*i). 45*i**5 - 1275*i**4 Expand 8477*f**3 - 8477*f**3 + 1703*f**4 + (2 - 2*f**3 - 2)*(4*f + f - 4*f). 1701*f**4 Expand (2*k + 7*k + k)*(-82 - 78 + 44)*(3*k**3 + 2*k**3 - k**3). -4640*k**4 Expand (5 - 4 + 1)*(1 + 2 - 5)*(559*s - 107*s + 3306*s + 1414*s). -20688*s Expand 139 - j**2 - 139 + 204 + 3*j**2 - 104 - 99 - 2*j + 2*j**2 + j**2 - 2*j**2 + (-4*j - 2*j + 5*j)*(-2 + j + 2) - 1 + 2*j**2 + 1. 4*j**2 - 2*j + 1 Expand (9000 + 2189*z**2 - 9000)*(-2*z - 2 + 2)*(-4*z - 3*z + 4*z). 13134*z**4 Expand (-10 + 14 + 6)*(4*c + 14*c + c)*(0*c + 3*c + 9*c). 2280*c**2 Expand (27*t**3 - 19*t**3 - 7*t**3 + 243*t**2)*(-14*t + 22*t + 10*t). 18*t**4 + 4374*t**3 Expand (1 + 4 - 4)*(-3 - 3 + 5)*(19589 - 221*l - 19589). 221*l Expand (2 - 5 + 13)*((-3*v + 3*v + 2*v)*(4 + 8 - 20) + 3 - 3 - v). -170*v Expand (-13*z - 1 + 1)*(1 - 4 + 0)*(-10 + 33 + 33) + z - 2*z + 2*z. 2185*z Expand (100*n - 116*n - 4 + 1)*(-1551 - 2*n + n + 1594). 16*n**2 - 685*n - 129 Expand (-5036 - 89*a + 5036)*(3*a - 5*a + a + (-4 + 3 - 1)*(0*a + 3*a - 2*a) - 5*a + 3*a + a - 4 + 4 + 2*a - 4*a + 0*a - 4*a). 890*a**2 Expand (0 + 1 + 1)*(3*c + 3*c**2 - 3*c)*(11*c - 9*c - 38*c)*(-2 + 3 + 3). -864*c**3 Expand (m + 3*m - m + (3 + 3 - 4)*(4*m - 5*m + 6*m))*(21 + 2 + 24)*(0*m - 5*m + m). -2444*m**2 Expand ((0 + 0 - 3)*(69 + 102 + 31) - 1 + 1 + 1)*(2 + 1 - 4)*(3 - 6 + 1)*(-4*l + 0*l + 0*l). 4840*l Expand (0*u**3 + 2*u**3 - u**3)*(-2*u - u + 5*u) - 426938*u**4 + 224422*u**4 + 233501*u**4. 30987*u**4 Expand ((-6 + 6*q + 6)*(-1 + 2 - 3) + 5*q + 3 - 3)*(-9*q**3 + 9*q**2 - 9*q**2)*(-4 + 4 - 4*q). -252*q**5 Expand (0*a**3 + 0*a**3 + 2*a**3)*(7 - 2 - 4)*(-5 + 2 + 2)*(5*a - 12753 + 6*a + 12777). -22*a**4 - 48*a**3 Expand (1575*v + 6109*v + 1059*v)*(-3*v**2 + 4*v**2 + 3*v**2). 34972*v**3 Expand (-5*g + 23*g + 29*g)*(-46 - 11 - 51). -5076*g Expand 19*c - 10 + 10 + (3*c + 12*c + c)*(-2 - 1 + 2). 3*c Expand (2*g**4 + 4*g**2 - 4*g**2)*((-4 + 4 + 2)*(0 + 0 + g) + (-4*g + 0*g + 3*g)*(30 - 385 - 341)). 1396*g**5 Expand (-2*n**2 + 13 - 786*n + 786*n)*(-6*n + n + 18*n). -26*n**3 + 169*n Expand (u**4 + u**2 - u**2)*(385 + 1496 + 50 + (0 - 2 + 0)*(4 - 2 - 3)). 1933*u**4 Expand (3 - 3 + 3*l)*(-l + 0 + 0 + (-4 + 3 - 1)*(-l + 0*l + 3*l) + l + l - 4*l - 14*l + 174*l - 4 - 352*l). -597*l**2 - 12*l Expand -3*n**3 - n**3 + 0*n**3 + (n**2 - n**2 + 2*n**2)*(-2*n - 2 + 2) - 22*n + 131*n**3 - 129*n**3 - 2 - 8*n. -6*n**3 - 30*n - 2 Expand (f - 2*f**2 - f)*(2264*f**2 + 365*f**2 + 500*f**2 + 1798*f**2). -9854*f**4 Expand (-2 + 1 - 1)*(-26*j - 46 + 46) - 15*j - 14*j + 7*j. 30*j Expand (-1505 - 29*x + 1505)*(-43*x**2 - x**2 - x**2)*(-4*x**2 + 0*x**2 + 2*x**2). -2610*x**5 Expand (23 + 27 - 167 - 1 - 3 + 2 + (1 + 1 - 3)*(5 - 2 - 2) + 0 + 1 + 1 - 4 + 2 + 0 + 3 - 2 + 1 - 7 + 16 + 19)*(-j - j + j). 90*j Expand (0*b**3 + 0*b**3 - b**3)*(1380706*b - 18191*b**2 - 1380706*b). 18191*b**5 Expand (-11*y + 2*y + 2*y)*(-6 - 2052*y + 11*y**2 + 2052*y + (3*y - 2*y + 0*y)*(-3*y + 2*y + 2*y)*(2 + 0 - 1)). -84*y**3 + 42*y Expand (41*o - 991 + 991)*(1 - 2*o - 1 + o - 2*o + 0*o + (-3 + 0 + 5)*(-2*o + o + 0*o))*(3 - 2 + 0) + 21*o + 3*o**2 - 21*o. -202*o**2 Expand 0*z + z - 4*z + (0*z - 3*z + z)*(-3 + 0 + 4) - z + 4*z - 2*z - 7*z - 32 + 32 + (0*z - 5*z + 2*z)*(-2 + 3 - 4). -2*z Expand 2*j**4 + 0*j**3 + 0*j**3 + (3*j**2 - 7*j**2 + 2*j**2)*(0*j + 2*j**2 + 0*j) + 2*j**4 + 3*j**4 - 4*j**4 - j**2 - 9*j**4 + j**2. -10*j**4 Expand (-9*r**2 + 14*r**2 + 27*r**2)*(8*r**2 - 2667*r + 4*r**2 + 2649*r). 384*r**4 - 576*r**3 Expand ((0 + 1 - 3)*(-6 + 4 + 3) + 38 - 51 + 2
{ "pile_set_name": "DM Mathematics" }
? False Let y be 5*21/15680*-7. Let q be -2*(-4 + 2)/(-4). Which is bigger: y or q? y Let c = -2.08 - -0.08. Let x = -5.2 - -17.3. Let l = x + -12. Is c at most as big as l? True Let s be 3/14 + (-6)/(-21). Let t(n) = n**3 + n**2 - 3*n + 1. Let k be t(-3). Let w(c) = c + 8. Let m be w(k). Which is bigger: m or s? s Suppose 34*x - 18*x = -16. Do -4/187 and x have the same value? False Let h(d) = 2*d**3 + 9*d**2 + 5*d + 2. Let m be h(-4). Suppose 4*y - 14 = 10. Which is bigger: y or m? y Let p(r) = -71*r - 479. Let l be p(-7). Which is smaller: 56/3 or l? l Let z be (2 - 1 - 0) + -1. Let f(x) = 2*x - 9. Let k be ((12/(-14))/(-1))/((-7)/(-49)). Let i be f(k). Which is bigger: z or i? i Let o = -3 - -2. Let c be ((-6)/(-4))/(22/528). Let v = c - 35. Which is greater: v or o? v Let v(c) = 6*c**3 - 4*c**2 - 2*c + 2. Let a be v(-2). Which is bigger: -59 or a? a Let c = -922 - -756. Is -166 equal to c? True Suppose -h - 329 = -5*l - 97, -679 = 3*h + 2*l. Let k = h - -371. Let j be (-4)/(-18) + (-1256)/k. Is -10 less than or equal to j? True Let h be (-9)/(189/(-14))*-6. Which is smaller: -27/7 or h? h Let h be (4 - (9 - 3)) + -3. Suppose -4*p + 2*p = -4*w - 20, -4*p + 15 = -3*w. Is h at most w? True Let l = -336 + 320. Which is greater: -13 or l? -13 Let h = 858 + -850. Which is bigger: -9 or h? h Suppose -5*b - 62 = 658. Are b and 0 non-equal? True Let w = 4.787 - 4.737. Let r = 13/9 + -5/3. Is r at least w? False Let d be -1 + 2 + ((-4144)/(-1000) - 5). Is d not equal to -1? True Let y = -15 - -149/9. Let c = -28 + 30. Is c at most y? False Let t be (-1)/2*(-6)/(-9)*-21. Let j = t - 8. Which is smaller: j or 4/39? j Let r = -12 - -15. Suppose -y - 2*v = 37, -3*y = -0*v - r*v + 138. Which is smaller: y or -42? y Let p = 99 + -98. Which is smaller: 11/19 or p? 11/19 Let u(h) = -h**2 - 18*h - 17. Let b be u(-16). Suppose 2 = 5*v - x, 2*v + b = 5*v + 4*x. Which is smaller: v or 2/3? 2/3 Let v = -55.2 + 49.4. Which is bigger: v or -0.4? -0.4 Let t(c) = -34*c + 2*c**3 - 7*c**2 - 3*c**3 + 12 + 30*c. Let u be t(-6). Do u and -1/3 have the same value? False Let y = 31132/13 + -2398. Are y and -4 unequal? True Let x be (-1)/(-7) - 33174/(-126). Let t = x - 263. Which is bigger: -1/5 or t? t Let z = 29 - 132/5. Let u be (4/3)/((-28)/(-84)). Is u bigger than z? True Let p be -2 + (-7)/(-14) + 6/12. Is p bigger than 926? False Let r(y) = -y - 5. Let m be r(-6). Let o be (0 + m)/((-2)/(-2)). Suppose -o = h - 0. Is 2 at least as big as h? True Let h(c) = -6*c + 4. Let j be h(0). Suppose -5*r + j*p - 35 = 0, 3*p = 2*r + 4*p + 14. Suppose -2*z - 4*m = 16 + 6, 4*m = -4. Are z and r non-equal? True Let a = 880 - 901. Suppose 6*w + 15 = 2*k + w, 3*w + 9 = 4*k. Which is bigger: a or k? k Let h = -7 - -5. Let y(t) = -t**3 - t**2 + 3*t + 3. Let b be y(h). Let r be (9/(-26))/((-18)/(-24)). Is b < r? False Let s be 78/(-4)*(-84)/63. Which is bigger: s or -12? s Let s(d) = -2*d**3 - 29*d**2 - 2*d - 3. Let k be s(-14). Do -169 and k have different values? True Let o be (3/126)/(2/(-40)). Let h = o - -4/21. Let n = 0 - 1. Is h at most n? False Let b(y) = 89*y**3 + 6*y**2 - 11*y + 5. Let x be b(1). Are x and 91 non-equal? True Let q(w) = -2*w**3 + 19*w**2 - 11*w + 21. Let o be q(9). Let s be (-32)/60 - 4*o/18. Which is smaller: s or 0? s Let c(b) = b**3 - 13*b**2 - 14*b - 9. Let t be c(14). Suppose -30 = 3*l - 0. Which is smaller: l or t? l Suppose 2*w + 2*a + 5 - 7 = 0, 5*w - 4*a + 22 = 0. Let i be 1/w + (-2)/(-20). Let p = 3523/9352 + -2/1169. Which is bigger: p or i? p Let j = 10455541/499 - 20953. Which is smaller: -1 or j? -1 Suppose 3 + 6 = -f + 3*g, 2*g = 2*f + 2. Let j be (-2)/8 - f/132. Suppose 5*m + 12 = 27, o = -2*m + 5. Which is greater: j or o? j Let l = -67/9 - -13574/1827. Which is bigger: l or 1? 1 Let m be (11/(-3))/((-4)/12). Suppose 3*k + 2*u - 338 = 0, -2*k - 34 = -u - 250. Let c be ((-8)/10)/(m/k). Are c and -8 non-equal? False Suppose 0 = 7*u - 6*u + 12. Let o be (10/8)/((-1)/8). Are u and o nonequal? True Let z be 172/(-24)*(-2 - -4). Let s be ((-11)/((-22)/60))/(-2). Is s less than z? True Let f(n) = -n**2 - 4*n + 283. Let y be f(16). Which is greater: -31 or y? -31 Let q be (-3)/((-6)/26) + 2. Let c(l) = l**2 + 15*l - 26. Let s be c(-16). Let h be q/s*2/(-24). Is h >= -1? True Let w = -718 - -671. Is -139/3 >= w? True Let r = 17.9812 + 0.9748. Let z = 0.044 + r. Do z and 1 have the same value? False Let x be ((-3)/(-3) + (4 - 5))/1. Which is smaller: x or -11/173? -11/173 Let a = -16 - -15.7. Let i = -23 + 22.9. Which is smaller: i or a? a Suppose 0 = -6*n + 3*n - 843. Do n and 0.1 have different values? True Suppose 15*o - 12 = 12*o. Let d be o/20 - 2/10. Which is bigger: -2/11 or d? d Let h = 1997/3 - 665. Is -0.041 smaller than h? True Let q(r) = r**3 - 8*r**2 - 10*r + 8. Let x be q(9). Let n be -74*(x + 4/8). Let y = -263/7 + n. Is y >= 0.4? False Let d = 11 + -7. Suppose 3 + 4 = -h - d*s, -2*s = 4*h - 14. Which is greater: 3 or h? h Let d = -29 - -77. Suppose -5*r + 2 = 2*o - 2, 2*o + 16 = 5*r. Suppose -3*i + 34 = r*g, 5*i = 4*g - 3*g + d. Are 10 and i nonequal? False Let m(y) = 3*y**2 + 7*y**2 + 9 - 7*y - 10*y**2 + y**2. Let h be m(6). Suppose -3 = i - 4, -3*x + h*i + 3 = 0. Which is greater: 6 or x? 6 Suppose -3*r + 5 = -4. Suppose -r*g + 4*g - 2 = 0. Which is greater: 14 or g? 14 Suppose 10 - 2 = 4*y. Suppose 4*z + 24 = 5*s, y*s = -0*z + 2*z + 10. Which is greater: z or -4/31? -4/31 Let o(k) = -8*k**3 - 4*k**2 + 5. Let y(z) = 15*z**3 + 7*z**2 - 9. Let w(i) = -7*o(i) - 4*y(i). Let n be w(1). Let m = -301 - -300.7. Are n and m unequal? True Let s = -0.9 + -0.21. Let d = s - -0.11. Is -74 at least d? False Let n(w) = -4*w**2 + w - 2. Let z be n(2). Let q be z/88 + 32/55. Which is smaller: 5 or q? q Let k be -5*(-10)/(-5)*-1. Let b = k - 45. Which is bigger: b or 1? 1 Let z = -9095/16112 - -2/1007. Which is smaller: z or 0? z Suppose -2*q = -g - 7, 31 = 5*q + g + g. Suppose 0 = 2*r + q - 3. Let l be -1 - (-1 - -2)*r. Is -1/8 at most l? True Suppose 5*s - 10 = q, -5 - 1 = -3*q + 3*s. Let m = q - 3. Suppose 2*w = 4*w + k - m, 4*k - 16 = 0. Which is smaller: w or 2? w Let b(m) = -2*m + 4. Let q be b(2). Suppose q = 3*g - 12*g - 9. Which is smaller: g or 1/135? g Suppose 0 = -l - 2*i + 3, 4*l + 3*i - 5*i - 42 = 0. Which is smaller: 17/2 or l? 17/2 Suppose -14*h - 7 - 21 = 0. Do -4 and h have the same value? False Let l = -0.041 + 0.093. Let z = l - -1.948. Is z smaller than -9? False Suppose 5*b + 3*u = 57, -3*b + 2*u = -22 + 3. Is b < 10? True Let s(w) be the third derivative of w**5/60 + 7*w**4/24 - w**3/3 + 3*w**2. Let o be s(-8). Suppose -r = o - 1. Which is bigger: -2 or r? -2 Let l = -100 - -54. Let a = 58.6 + l. Let q = 13 - a. Is -1/3 at most q? True Let x be (5/50)/(35/(-131740)). Is x greater than -376? False Let p = -240 + 9356/39. Which is smaller: p or 0? p Let o be (-9)/(-18)*-24 - 7. Which is smaller: -17 or o? o Let y = 1.4 - 1.4. Let q = 7 - y. Let m = -6 + q. Which is bigger: 1/4 or m? m Suppose -4*y + 15 = 10*h - 7*h, -5*y - 33 = -2*h. Let b = 20 + -10. Is h >= b? False Let d = 1 - 6. Let h be ((-2)/(-10) + -3)*d. Suppose 0 = 114*k - 113*k - 15. Is h less than or equal to k? True Let k = -0.1112 + 162.1112. Is -3 bigger than k? False Let g be 6/11*(-737)/(-134). Let p be (-8)/33*(-9)/1. Which is smaller: g or p? p Let w be 172/18 + -8 - (-4)/(-18). Is 1 at most as big as w? True Let l = -1008 + 1008. Do 75 and l have the same value? False Let z = 4 + -9. Suppose -1184*a + 1173*a + 11 = 0. Is a != z? True Let i = 10447/90214 - -1/2098. Let a = i - 351/2279. Is a at least as big as 0? False Let y = -474 + 929/2. Is y at most as big as -9? True Let l be (-24)/(-9)*(-6)/4 + -1. Which is smaller: l or -16/3? -16/3 Let x = -3.75 - 12.25. Let j = 1 - 0.99. Let i = -0.11 + j. Is i < x? False Let g = -2037 + 2037.2. Which is bigger: g or 560? 560 Let q = -366 - -366. Is -1/759 bigger than q? False Let r be 94/8 + (-18)/(-72). Suppose 9*y = 10*y - r. Which is smaller: 6 or y? 6 Let k = 0.6 + -1.6. Let q = 1.5 + k. Let y = q - 7.5. Is y < -1? True Suppose -2*c + 6*b - 5*b = -3, -c + 2*b + 9 = 0. Let n be (-3)/2 - 2/4. Let a = -35/18 - n. Is a smaller than c? False Suppose 0*r - r = -30. Let n = 31 - r. Is n bigger than -24? True Let s = -0.
{ "pile_set_name": "DM Mathematics" }
= y + y. Suppose r + a = y, 52 = 4*r - a - 4*a. Suppose r*z - 17*z = -17811. Is z composite? False Let q(m) be the first derivative of -m**4 - m**3 - 3*m**2/2 - 3*m + 100. Is q(-14) a prime number? True Suppose -13*x = -100 + 269. Let v = x - -13. Suppose 5*z + 3*f = 7328, -3*z - 2*f - 535 + 4932 = v. Is z a composite number? True Let r = -1308 + 42307. Is r prime? False Suppose -2*a + 5*x + 409557 = 0, -1023910 = -a - 4*a - 5*x. Is a prime? True Let h = -1726 - -2427. Let p = h - 27. Is p a prime number? False Suppose -16*i + 70269 = -13*i + 4*x, 0 = 3*i + 5*x - 70269. Suppose -7*s + 10898 = -i. Is s a composite number? False Let q be ((-35)/(-20))/(3/1788). Suppose -6*n + q = -5*n. Suppose u - n = -3*s, 5*s + 1059 = u - 0*s. Is u composite? False Let m(u) = u**3 + 10*u**2 + 5*u + 35. Let r be m(-10). Let w(a) = -a**3 - 8*a**2 + 18*a - 12. Is w(r) a composite number? True Let f(g) = -g - 14. Let u(z) = -2*z**2 - 7*z - 1. Let l be u(-5). Let p be f(l). Suppose -2826 = -p*v + 4696. Is v prime? True Suppose -4*m = -8*m + 11264. Let t = m - 1915. Is t a composite number? True Let h(j) = 272*j**2 - 3*j - 22. Let x = -308 - -305. Is h(x) composite? True Let z(n) = -3*n**2 + 26*n - 3. Let x be z(8). Is ((-13)/2)/x*-4586 a composite number? False Let g = 104 - 102. Suppose 5*f + i - 5969 = -g*i, -2*f + i + 2381 = 0. Suppose -21*x - f = -25*x. Is x prime? False Suppose 0 = 2*x - 5*t + 85580 - 254533, 3*t = -5*x + 422460. Is x composite? True Let c be (10 - (5 + 2)) + 0 + 4. Suppose -c*f - 37143 = -95390. Is f prime? False Let u(c) = -37982*c - 62. Is u(-2) a composite number? True Let q be 279 - ((-6)/18)/((-1)/(-3)). Let w(i) = 21*i - 3. Let j be w(6). Let y = q - j. Is y composite? False Suppose 62*r - 402 = 63*r. Let a = r - -2225. Is a composite? False Let l(x) = 152*x + 7. Let d = -3 - -1. Let r be 10*(-3 - d)/(-2). Is l(r) a prime number? False Let h(s) = s**3 - 28*s**2 + 161*s - 225. Is h(33) a prime number? False Is (-2122061)/(-664)*(-2 - -10) a composite number? True Suppose 4*n + 13*c = 11*c + 265442, 3*n + c - 199080 = 0. Is n composite? False Let y = -89 - -91. Suppose -y*u - u + 4438 = w, -2*u = 4*w - 17762. Is w prime? True Let q = 66945 - 16898. Is q prime? True Suppose -9*u + 7*u + 52154 = 0. Is u a composite number? True Let k be 0 + 3 + -1 + 0. Suppose -k*o = 124 - 1142. Is o + -5 - (-4 - -3) a composite number? True Let z(g) = g**2 + 3*g. Let r(o) = -16*o**2 - 21*o + 37. Let p(s) = -r(s) - 3*z(s). Is p(18) prime? True Is (1629/(-362))/((-18)/279308) a composite number? False Suppose -616*z - 35 = -623*z. Suppose -d - 16*l + 1287 = -18*l, l = z*d - 6453. Is d a composite number? False Is 1985785/24 + (-896)/21504 a composite number? True Let u be ((-21)/(-42))/((-2)/(-60028)). Let n = -9840 + u. Is n a composite number? False Let a = 1179 - 466. Let k(j) = 58*j. Let b be k(6). Let i = b + a. Is i a prime number? True Suppose 4*f - 12 = -4*g, g + 2*g = -4*f + 9. Suppose -4*d + g*h + 22 = 5*h, -2*h = 10. Let j(z) = 3*z**3 - 9*z**2 - 5*z + 17. Is j(d) a prime number? True Suppose 95*h - 13477936 = 79*h. Is h prime? True Let o(l) = 44495*l - 1492. Is o(6) composite? True Suppose -m + 0*m - 5 = -3*o, 25 = 5*o. Suppose -m = -2*f - 3*f. Suppose 4*i + 4*y = 1152, f*i - 561 = -3*y - 2*y. Is i a composite number? False Let i(l) = -1193*l**3 + 33*l**2 + 263*l - 5. Is i(-8) a prime number? False Suppose -2 = l - 3*b - 3, 4*b - 5 = -5*l. Suppose -3*d = -2*w + 61, -w = -0*w + l. Is d/147 + 8864/14 a composite number? True Suppose -175712 = -2*m - 2*a, -2*m - 17*a + 20*a + 175687 = 0. Is m composite? True Let l = 346555 - 192684. Is l a prime number? True Let z(j) = 106052*j - 201. Is z(4) composite? False Let x(u) = -u**3 + 29*u**2 + 8*u + 21. Let s(y) = 2*y - 26. Suppose -3*w + j + 48 = -16, 2*w = 2*j + 48. Let a be s(w). Is x(a) a composite number? True Let n(m) = -470*m**3 + 2*m**2 - 28*m - 51. Is n(-10) prime? True Suppose b + 2*h = 8353, b + h - 7683 - 671 = 0. Suppose -b - 108240 = -9*i. Is i prime? False Let l(o) = -3*o + 7. Let h be l(3). Let u be (-6)/h + 9504/8. Suppose u = -p + 4*p. Is p composite? False Let m = -738487 + 1208444. Is m prime? True Let w(b) = 2885*b**3 - b**2 + 12*b - 11. Is w(3) a prime number? False Suppose 4*y - 8 = -0. Let l be (-1)/(y + (-183)/90). Suppose -x = -l - 187. Is x a prime number? False Let k(h) = -66595*h - 121. Is k(-2) composite? False Suppose 2*o - 4272 = -5*y, -o + 0*o - 5*y + 2136 = 0. Suppose -18*m + o = -21*m. Let g = -21 - m. Is g a composite number? False Is 24/(-204) + 325962/34 a composite number? False Let i be (-6)/(-12) - (-3)/2. Suppose 0*z = y - z - 9, -3*y = i*z - 32. Let m(j) = 2*j**2 + 11. Is m(y) a composite number? False Let l(t) = 4*t - 2. Let g be l(6). Let c = 21 - g. Is ((-1)/3)/((-1 + c)/318) a prime number? True Suppose 54*d - w = 49*d + 921455, 0 = -4*w. Is d composite? False Suppose -2*w + 84579 = g, 87*g + 84573 = 88*g + 5*w. Is g a prime number? False Let r be -11*(0 + -137) + -2. Suppose 3*x - r = 130. Let z = x + -308. Is z composite? True Suppose 0 = 4*x - 3*j - 15244537, -3*x + 11433403 = -6649*j + 6647*j. Is x prime? False Suppose -2*n = -4*n, 5*d + 5*n = 30. Let t(f) = 71*f**2 - 5*f - 2. Let g be t(d). Let q = g - 1603. Is q a prime number? False Suppose -15*w + 63295 = 279805. Let p = -10013 - w. Is p composite? False Let l(b) = 1672*b**2 + 291*b - 6. Is l(-11) a prime number? False Suppose -2*f - 76383 = 4*l - 276049, 5*f - 499180 = -5*l. Is f prime? True Is ((-25)/15)/((-65)/1843881) prime? True Let s be (1/((-20)/12072))/(2/(-10)). Suppose 0 = 2*g - 796 - s. Let j = g - 1240. Is j a prime number? False Let b(x) = 76*x**2 + 24*x - 1. Suppose 19*h - 4*h - 135 = 0. Is b(h) prime? False Is 0 + -7 - (-42717 + 121) a prime number? True Suppose 847213 = x - 2*c, 47*c - 847214 = -x + 50*c. Is x a prime number? False Suppose -p + 2*p = 5*w - 27, 0 = 4*p + 2*w + 20. Let l(x) = 476*x - 9. Let k be l(-3). Is p/(-14) - k/2 a composite number? False Let w(p) = -888*p - 1769. Is w(-27) composite? True Suppose -5*z = -20, 4*x - 5*z + 128 = 8*x. Suppose 17 = 3*c - 4*d, -d + 2*d + x = 4*c. Is 1/(-2)*(-871 - c) composite? False Let n(u) = 21*u**2 + 101*u - 283. Is n(-86) prime? True Let j = -31020 + 62053. Is j a prime number? True Let k(p) = -11*p - 53. Let m be k(-5). Suppose 0 = 3*g - 2*c - 6301, -7*g + 5*c + 10500 = -m*g. Is g composite? True Suppose 32 = -s + 3*t, 4*s + 129 + 17 = 3*t. Let c = -39 - s. Is ((-1037)/51)/(c/33) composite? True Let h = 170 - 116. Let f = h + -52. Suppose 0 = -4*k - 3*y + 236, -5*y = 3*k + f*k - 295. Is k a prime number? True Let t(y) = y**3 - 23*y**2 - 24*y - 3. Let m be t(24). Let b(z) = -2085*z + 34. Is b(m) a composite number? True Suppose -133*v + 124*v = -87408. Suppose c + 5*b - 3214 = 0, 0*c - b + v = 3*c. Is c a composite number? True Is (-2)/33 - 14254451/(-33) prime? False Suppose 0 = f - 0*f - 3. Suppose -2*d + 9 = -0*r + 3*r, -f*d = -2*r - 7. Suppose 0 = -d*p + 982 + 917. Is p prime? False Suppose -k - 130903 = -18*k - 5*h, 0 = -4*k - h + 30800. Is k a prime number? True Suppose -3*w - 6 = -2*r + 5*r, -8 = 3*w + 2*r. Is 4 - (-1045 + (w - -10)) prime? False Suppose 4*s = -q + 5, s + 0*q + 3*q = 15. Suppose 12*n + 2*n - 205338 = s. Is n a composite number? True Let n = -56717 - -30527. Let y = -13939 - n. Is y composite? False Let n = 27 - 22. Suppose -2*o + n*l - 1012 = 3*l, 0 = 4*o - 5*l + 2020. Let g = o - -1565. Is g composite? True Suppose -4*s + s = -3*v + 6, -2*s - 5*v = -24. Is 10/25 - s*201415/(-50) prime? False Let i = -2725 - -7791. Suppose -2*z = -i + 1648. Is z a prime number? True Let n be 5 - -1 - (1 + 3). Suppose 5*o + n*m = -4, 2*o + 10 = -4*m - m. Suppose -4*t = -o*t - 2692. Is t a prime number? True Suppose -4*k + 6*k = 102338. Is k a composite number? False Suppose -144*k + 38027 = -141*k + 4*d, -5*k - 2*d = -63397. Let g = 43442 + k. Is g a prime number? True Let z = 18 - 38. Let o(d) be the first derivative of 2*d**3/3 + d**2/2 - 41*d + 1685. Is o(z) prime? True Suppose -3*w + 43 = 97. Let j = -105 - w. Let c = 10 - j. Is c composite? False Let s be -470 + (7 - 2) + -4. Let v = 666 - s. Is v composite? True Suppose 0 = -10*x - 5*x + 902775. Is x a composite number? True Suppose -10 = -3*x - 1, 536949 = 3*o + 4*
{ "pile_set_name": "DM Mathematics" }
f**(-1017/5) Simplify (g*g/(((g/g**(-9))/g)/g))/((g**(1/6)/g)/g)*(g*g*(g*g**(-2/3))/g)**23 assuming g is positive. g**(53/2) Simplify (j**(-21)/(j*(j/j**(-16))/j*j))**(14/3) assuming j is positive. j**(-182) Simplify (w**(-2/9)*w)**(-12)*(w**(-7))**(1/15) assuming w is positive. w**(-49/5) Simplify ((y*y**(-2/7)/y*y)**10/(y/(y*(y**(-3/11)*y)/y*y)*y**(-10/7)/y*y))**13 assuming y is positive. y**(9308/77) Simplify (((b*(b/b**(-1/3))/b)/b*b**(-8))/(b*b/b**10*b**(-2/7)))**21 assuming b is positive. b**13 Simplify ((g**(1/2)*g)/g*g*g/g**(2/11))/(((g**(3/19)*g)/g)/(g**(-4)/g)) assuming g is positive. g**(-1187/418) Simplify ((r*r*r**(-6/7))/r**(-1/16)*(r**(1/8)*r)/(((r*r*(r/r**(-1/11))/r)/r)/r))**(-34) assuming r is positive. r**(-46903/616) Simplify (a**(-2))**(-43)/(a*a**(3/4)*a/(a/(a/a**13))) assuming a is positive. a**(385/4) Simplify (b*b**(-2/7))**(16/3)*(b**(-1/2))**23 assuming b is positive. b**(-323/42) Simplify (c/c**(-2/3)*c*(c**(7/4)*c)/c)/((c/c**(-7))/(c*c**(-3/7))) assuming c is positive. c**(-253/84) Simplify (w**1)**(-5/18)*w**7/(w*w*w*w*(w/((w*(w*w**(-8)*w)/w*w)/w))/w) assuming w is positive. w**(-59/18) Simplify (g/((g*g*(g*g*g**(-5))/g*g*g)/g)*g*g**(8/5)*((g*g*g**1)/g*g)**(-7/9))**(-18/13) assuming g is positive. g**(-204/65) Simplify (z*z*z**20*z*z)/(z*z**(2/77))*(z/((z*z*z/(z*z**13*z*z))/z))**(-48) assuming z is positive. z**(-53671/77) Simplify h**(-2/107)*(h/(h*h/((h/((h**(-2/71)*h)/h))/h)))/h*h*(((h/(h/((h*h/(h*(h/h**(1/4))/h*h))/h)))/h)/h)**(-1/2) assuming h is positive. h**(23367/60776) Simplify (t*t*t**(1/3)*t/t**13)/(t*t/((t**(2/5)/t*t)/t)*t**(4/7)) assuming t is positive. t**(-1348/105) Simplify t**(-4/7)*t/((t/(t/(t**(-1/18)/t*t)*t))/t)*(t/((t*t*t/(((t*t**15)/t)/t)*t)/t*t))**(-1/6) assuming t is positive. t**(41/63) Simplify (n*n/(n*n**(1/6)/n))**46/((n**(-3)*n*n)/(n**11/n)) assuming n is positive. n**(286/3) Simplify ((b**(2/11)*b)/((b*(b**7/b)/b)/b*b)*(b*b**8)/((b/(b*b**(-8)*b))/b))**(-38) assuming b is positive. b**(760/11) Simplify (r**(-3)*r*r/(r**0/r*r))**(-3/4) assuming r is positive. r**(3/4) Simplify ((((z*(z/z**(-1/3))/z)/z)/z)**(-3)/(z**(-2/3))**(-45))**(-6/11) assuming z is positive. z**(168/11) Simplify (d*d*d*d/(d/(d/(d/d**(-20))))*d)**(-6/5)/((d**32/d)/(d*d**(-2/9)*d)) assuming d is positive. d**(-451/45) Simplify ((u/(u/u**(-4/7)))/u)/u**(-2/17)*u/((u*u**(-4/13))/u)*u**3/u assuming u is positive. u**(2868/1547) Simplify n**(-7/2)/(n/(n/((((((n*n**5)/n)/n)/n)/n*n)/n)*n)*n)*n/(n*n*n/((n/(n*n**7*n))/n))*n*(n/((n*n*n**2)/n))/n assuming n is positive. n**(-37/2) Simplify (((s/s**25)/s)/s*s*s/(s**(9/5)/s))/(((s*s**(-5/4))/s)/s*s**(1/41)) assuming s is positive. s**(-18511/820) Simplify ((j**(2/5)*j)**(-39)/(j**(2/9))**(-2/69))**(-6/25) assuming j is positive. j**(339026/25875) Simplify (g**5)**(-23)/((g*g*g/g**5)/g)**13 assuming g is positive. g**(-76) Simplify (s*(s/(s/(s**(4/9)/s*s)))/s*s/(s*s/s**(2/3))*s*(s*s**1)**(2/17))**(-4) assuming s is positive. s**(-824/153) Simplify (m/(m**(-7/6)*m))/((((m*m**4/m)/m)/m)/m)*(m**(-1/5))**(2/41) assuming m is positive. m**(193/1230) Simplify ((u/(u*(u**0/u)/u))/u*u**(-5)*(u**(-6)/u)/(((((u**(1/4)/u)/u)/u)/u)/u))**(-11/9) assuming u is positive. u**(275/36) Simplify ((k*k**(-13))/k*k)/k**(-5/6)*(k*k*k*(k/(k*k/(k**9/k)*k*k))/k*k)/k*k/(k/(k*k/(((k**(-3/11)/k*k)/k)/k*k))*k) assuming k is positive. k**(-125/66) Simplify (j**(-19)/(j/(j/(j/j**7))))/(j**12*j**(-4/13)*j) assuming j is positive. j**(-334/13) Simplify (c**(1/5)*c)/c**(-2/17)*((c*c**(-1))/c)**50 assuming c is positive. c**(-4138/85) Simplify ((o**(-1/4))**(-5/4)*(o*o**(-6/7))/(o**(-1/3)/o*o))**(-40) assuming o is positive. o**(-1325/42) Simplify ((f*(f/(f/((f/(f/(f*f**(3/8)/f)))/f)*f))/f*f)/f*f*f**(-8)*f)**(-15) assuming f is positive. f**(915/8) Simplify (((n/(n/(n*(n*n*n**(-1/6)*n)/n)))/n)/(n/n**(1/17))*(n/((n/(n/n**(2/17)))/n))/(n*(n/(n/(n**(-1/15)/n)))/n))**(1/2) assuming n is positive. n**(653/340) Simplify ((o/(o/(o*o*o/o**1)*o))**(-6)/(o**3)**(2/5))**(-3/11) assuming o is positive. o**(108/55) Simplify (d/(d/(d*d*d**16)))/d*(((d**(-4/15)*d*d)/d*d)/d)/d*(d/d**(5/6))**(17/2) assuming d is positive. d**(363/20) Simplify (i**22/i)**3/((i/(i**(1/3)*i*i))/i*(i**(2/17)*i)/i) assuming i is positive. i**(3326/51) Simplify ((i*i*i**13)/i*i)/i**(-2/15)*(i/(i/(i*i**(4/3)/i)))**(-33) assuming i is positive. i**(-433/15) Simplify (j**(2/7)/j*j*j**(18/11))**19 assuming j is positive. j**(2812/77) Simplify (y*y**(-1/5))**(2/13)/(y**4*y**3) assuming y is positive. y**(-447/65) Simplify (h**(-7/8)/(h*h**(-7)*h))/(h**(-12))**(-3/7) assuming h is positive. h**(-57/56) Simplify (b**(-8/3))**(-7)/(b**8)**(-2/53) assuming b is positive. b**(3016/159) Simplify (m/(m/(m/(m/m**(1/2))))*m**(-33))/(m**14)**38 assuming m is positive. m**(-1129/2) Simplify (w**(-1/6)*((w/(w/(w/(w*w**(6/13)*w*w))))/w)/w)/(w**(-1/2)*w**(2/5)*w) assuming w is positive. w**(-1078/195) Simplify (x/(x**(10/11)*x)*x**16)**2 assuming x is positive. x**(332/11) Simplify (h*(h/(h/h**(-3/20)))/h*(h/(h/h**10))/h)/(h**(1/6)/((h/(h/(h/(h**(3/19)/h*h*h))*h))/h)) assuming h is positive. h**(7439/1140) Simplify s**(4/19)*s**24*s*(s/(s**(-7)*s))**40 assuming s is positive. s**(5799/19) Simplify (a/(a/a**(-11)))/(a/a**(1/3))*(a/(a/(a*a**(2/7))))/(a*a*(a/(a**(1/5)*a))/a*a) assuming a is positive. a**(-1279/105) Simplify (((g/g**(2/5))/g*g*g**(-3/2))**45)**(-6/19) assuming g is positive. g**(243/19) Simplify a**(-20)*a*a/(a**(2/31)/a*a)*(a**(2/15))**(1/99) assuming a is positive. a**(-831538/46035) Simplify (((n/(n*n**2*n))/n)**(17/5))**(4/27) assuming n is positive. n**(-272/135) Simplify (a*a*a**(6/7))/a*a*a**(2/39)*a**26/a*a**(-1/14)/a assuming a is positive. a**(14653/546) Simplify (l/l**0*l*l)/l*l*l**(2/9)/l*(l**(-5)/l*l)/l**3 assuming l is positive. l**(-52/9) Simplify ((k*k**28)/((k/k**22)/k))/(k/((k*((k**(-1/3)*k)/k)/k)/k)*k)**(-3/2) assuming k is positive. k**56 Simplify ((u/(u**(7/4)*u))/u**15)**(-44) assuming u is positive. u**737 Simplify (((y*y*y**(-4/5))/y**(2/7))**(-49))**(6/5) assuming y is positive. y**(-1344/25) Simplify (((k**(3/2))**(5/9))**(4/9))**(-34) assuming k is positive. k**(-340/27) Simplify (w*(w/w**4)/w)**(-2/49)*(w**3)**(-1/27) assuming w is positive. w**(5/441) Simplify ((((n*n**(3/10))/n)/(n/n**(-2/9)))**(-28))**7 assuming n is positive. n**(8134/45) Simplify ((m/(m**(-1)/m*m*m))**(1/4)/(m**(-3)*m**(-4/7)*m))**(-2/7) assuming m is positive. m**(-79/98) Simplify ((n**(-2/3))**(-40/9)*n**(-6)*n*n/(((n/((n/(n*n**(-6)))/n)*n)/n)/n))**(4/5) assuming n is positive. n**(428/135) Simplify (u**(-7/4))**(-11/2)/(((u/u**(-8/7))/u*u)/(((u/(u**(-2/15)/u))/u)/u)) assuming u is positive. u**(6397/840) Simplify ((a/(a/(a*a**6)))**(-1/20))**(5/7) assuming a is positive. a**(-1/4) Simplify (c/((c/c**(-4/3))/c))**(-13)/(c**3)**(-2/45) assuming c is positive. c**(67/15) Simplify ((c*c**(2/27)*c*(c**(-3/7)/c)/c)**(7/3))**26 assuming c is positive. c**(-1742/81) Simplify i**16/(i**(-1/39)/i)*(i*i**(-1/11)*i)/i**(2/5) assuming i is positive. i**(39757/2145) Simplify q**(-17)/(q*(q*q*q/q**15)/q)*q**(3/5)/(q*q**(8/9)/q) assuming q is positive. q**(-238/45) Simplify ((((g/(g**4*g))/g)/g**2)/(g**(-2/13)/(g**(-1/4)/g)))**(-4) assuming g is positive. g**(421/13) Simplify s**(-3/13)/(s/(s*s*s*s**(-2)*s*s))*(s*s/(s/(s/(s**(-2/3)*s*s*s*s))))/s**(-4) assuming s is positive. s**(173/39) Simplify (n*n*n**10)/(n**15/n)*n**12*n/((n*n**(-16)/n*n)/n) assuming n is positive. n**27 Simplify ((h*h*h*h*h**(-3/2)*h)/h**(-3/7))/(h**(2/3)/(h*h**(-8))) assuming h is positive. h**(-157/42) Simplify (t/(t/t**4)*t)**(-29)*(t/(t/(t**7/t)))/(t/(t/t**(-6/5))) assuming t is positive. t**(-689/5) Simplify z/z**(10/3)*z**(-1/3)*z**(1/11)/((((z/z**7)/z*z)/z)/z) assuming z is positive. z**(179/33) Simplify u**(1/11)/u**(7/6)*u**(8/5)/(u**(1/23)*u*u) assuming u is positive. u**(-11531/7590) Simplify ((h/((h*h*h**12*h)/h))/h*h**(-3))/(h**(-1))**(-1/15) assuming h is positive. h**(-256/15) Simplify (r**(2/21)*(r**(-28)*r)/r)**33 assuming r is positive. r**(-6446/7) Simplify (u**(3/7)/(u/((u/(u/(u*u/u**(2/33))))/u))*u**7*u*u**(-14))**(4/11) assuming u is positive. u**(-5204/2541) Simplify (((c**(2/3)*c)/c)**(-2/13)*c*c*c/(c/c**0)*c**7/c)**(8/13) assuming c is positive. c**(2464/507) Simplify (o/(
{ "pile_set_name": "DM Mathematics" }
072? 2, 311, 596119 What are the prime factors of 5065537645? 5, 7, 353, 409999 List the prime factors of 309013079. 309013079 What are the prime factors of 1432035950? 2, 5, 29, 47, 21013 What are the prime factors of 52824691? 157, 336463 List the prime factors of 4039894336. 2, 61, 1034809 List the prime factors of 1072112460. 2, 3, 5, 17868541 What are the prime factors of 1101891286? 2, 550945643 What are the prime factors of 417961352? 2, 52245169 What are the prime factors of 62166486? 2, 3, 67, 154643 What are the prime factors of 23974177? 43, 103, 5413 List the prime factors of 8739803018. 2, 9749, 448241 List the prime factors of 106672275. 3, 5, 23, 6871 List the prime factors of 9050621. 2609, 3469 List the prime factors of 51153052. 2, 12788263 List the prime factors of 50426406. 2, 3, 769, 3643 What are the prime factors of 265977115? 5, 53195423 What are the prime factors of 5752663948? 2, 37, 1050523 What are the prime factors of 10582197? 3, 3527399 List the prime factors of 31874695. 5, 47, 135637 What are the prime factors of 52631430? 2, 3, 5, 1754381 What are the prime factors of 1632932286? 2, 3, 431, 653, 967 List the prime factors of 1311116270. 2, 5, 461, 284407 What are the prime factors of 53247318? 2, 3, 709, 12517 What are the prime factors of 1201804004? 2, 23, 97, 137, 983 List the prime factors of 549651235. 5, 7, 31, 506591 What are the prime factors of 1183893217? 13, 91068709 List the prime factors of 138316765. 5, 2339, 11827 What are the prime factors of 200008382? 2, 7, 14286313 List the prime factors of 920382373. 229, 1667, 2411 List the prime factors of 85839202. 2, 47, 913183 What are the prime factors of 25118107? 7, 1187, 3023 List the prime factors of 33877611. 3, 241, 15619 What are the prime factors of 5129588149? 7, 61, 12013087 What are the prime factors of 14416299? 3, 177979 List the prime factors of 376040072. 2, 47005009 What are the prime factors of 4199070178? 2, 2099535089 What are the prime factors of 51149720? 2, 5, 61, 20963 List the prime factors of 1339654058. 2, 307, 1259, 1733 What are the prime factors of 4529915109? 3, 43, 11705207 What are the prime factors of 5620634593? 7, 802947799 List the prime factors of 343017968. 2, 21438623 List the prime factors of 46919403. 3, 5213267 List the prime factors of 482628030. 2, 3, 5, 16087601 List the prime factors of 21575281. 7, 13, 237091 What are the prime factors of 2196589146? 2, 3, 109, 113, 29723 List the prime factors of 196843788. 2, 3, 41, 193, 691 List the prime factors of 36903772. 2, 41, 225023 List the prime factors of 604704987. 3, 22396481 What are the prime factors of 4240099063? 4240099063 What are the prime factors of 43341534? 2, 3, 17, 31, 1523 List the prime factors of 83978977. 53, 1584509 What are the prime factors of 3169862644? 2, 13, 19, 269, 11927 What are the prime factors of 572782185? 3, 5, 47, 30091 What are the prime factors of 2421575470? 2, 5, 23, 181, 58169 List the prime factors of 1015353411. 3, 7529, 44953 List the prime factors of 29850837. 3, 229, 43451 What are the prime factors of 1369215464? 2, 171151933 What are the prime factors of 382965950? 2, 5, 1009, 7591 List the prime factors of 370067921. 19, 257, 75787 What are the prime factors of 465690281? 7, 66527183 List the prime factors of 197251529. 197251529 What are the prime factors of 1018013661? 3, 7, 607, 3803 What are the prime factors of 144762061? 239, 467, 1297 What are the prime factors of 472796228? 2, 19, 6221003 What are the prime factors of 29692099? 167, 177797 List the prime factors of 2178005427. 3, 13, 43, 47, 61, 151 What are the prime factors of 104891690? 2, 5, 10489169 What are the prime factors of 147943460? 2, 5, 7, 1056739 What are the prime factors of 296437426? 2, 4129, 35897 What are the prime factors of 128546352? 2, 3, 11, 71, 127 What are the prime factors of 12642403? 229, 55207 List the prime factors of 479814588. 2, 3, 11, 1211653 What are the prime factors of 128180900? 2, 5, 1281809 List the prime factors of 501921651. 3, 7, 11, 17, 19, 31 What are the prime factors of 446251643? 446251643 List the prime factors of 211629391. 19, 47, 12473 What are the prime factors of 62091106? 2, 7, 11, 17, 37, 641 List the prime factors of 37216970. 2, 5, 7, 151, 503 What are the prime factors of 114723083? 19, 6038057 What are the prime factors of 263938677? 3, 809, 108751 List the prime factors of 3180243. 3, 11, 8761 What are the prime factors of 944452117? 7, 59, 326687 What are the prime factors of 4802002985? 5, 13, 941, 78509 List the prime factors of 1623276864. 2, 3, 11, 256199 What are the prime factors of 132298126? 2, 66149063 What are the prime factors of 70068694? 2, 19, 127, 14519 List the prime factors of 906635611. 7, 129519373 What are the prime factors of 207148692? 2, 3, 17262391 List the prime factors of 73282277. 43, 83, 20533 List the prime factors of 3642136463. 7, 31, 16784039 List the prime factors of 157385268. 2, 3, 1999 What are the prime factors of 2302449691? 53, 2749, 15803 What are the prime factors of 35070819? 3, 7, 227, 1051 List the prime factors of 423955276. 2, 105988819 What are the prime factors of 2134745744? 2, 133421609 List the prime factors of 577327937. 577327937 What are the prime factors of 80722053? 3, 8969117 What are the prime factors of 5016117023? 5016117023 What are the prime factors of 141600113? 141600113 List the prime factors of 462027401. 11, 41, 227, 4513 List the prime factors of 115147008. 2, 3, 617 List the prime factors of 3213578. 2, 17, 47, 2011 List the prime factors of 26746566. 2, 3, 7, 11, 19, 277 What are the prime factors of 1641593220? 2, 3, 5, 31, 882577 List the prime factors of 8728981384. 2, 1901, 573973 What are the prime factors of 702648? 2, 3, 3253 What are the prime factors of 1113393351? 3, 7, 4327, 12253 What are the prime factors of 2096871797? 23, 91168339 List the prime factors of 277526626. 2, 13, 10674101 What are the prime factors of 2497808254? 2, 79, 173, 91381 List the prime factors of 1797335459. 35923, 50033 What are the prime factors of 29016092? 2, 7, 67, 15467 List the prime factors of 49752473. 23, 167, 12953 What are the prime factors of 2408852834? 2, 12653, 95189 What are the prime factors of 1645054972? 2, 11, 41, 911893 What are the prime factors of 604502933? 97, 1201, 5189 List the prime factors of 430686488. 2, 53835811 List the prime factors of 2900703929. 307, 2089, 4523 List the prime factors of 199816895. 5, 17, 199, 11813 List the prime factors of 36016970. 2, 5, 11, 19, 907 What are the prime factors of 588956144? 2, 7, 41, 128257 List the prime factors of 102232119. 3, 11, 71, 43633 What are the prime factors of 720460101? 3, 241, 996487 What are the prime factors of 5882507296? 2, 183828353 What are the prime factors of 1126843923? 3, 29, 12952229 List the prime factors of 565505055. 3, 5, 3361, 3739 List the prime factors of 593560838. 2, 13, 47, 485729 List the prime factors of 532154004. 2, 3, 337, 131591 List the prime factors of 45331435. 5, 17, 19, 28069 What are the prime factors of 952315398? 2, 3, 29, 37, 49307 What are the prime factors of 51178609? 19, 141769 What are the prime factors of 19376393? 19376393 What are the prime factors of 983012602? 2, 11, 13, 3437107 What are the prime factors of 499969251? 3, 29, 1915591 What are the prime factors of 6649325579? 13, 511486583 What are the prime factors of 360245932? 2, 90061483 What are the prime factors of 802881743? 24181, 33203 List the prime factors of 1076277212. 2, 653, 412051 What are the prime factors of 1891813918? 2, 773, 1223683 List the prime factors of 241122380. 2, 5, 59, 233, 877 What are the prime factors of 1005891608? 2, 83, 1514897 What are the prime factors of 40080185? 5, 8016037 What are the prime factors of 182633200? 2, 5, 83, 5501 List the prime factors of 81554651. 53, 73, 107, 197 What are the prime factors of 333519232? 2, 83, 31393 What are the prime factors of 2838966125? 5, 619, 36691 List the prime factors of 483878585. 5, 96775717 What are the prime factors of 391845335? 5, 7, 229, 48889 List the prime factors of 602720959. 157, 653, 5879 What are the prime factors of 77172258? 2, 3, 419, 30697 List the prim
{ "pile_set_name": "DM Mathematics" }
+ 6)/7 Let o(y) be the third derivative of y**7/105 + 13*y**6/10 - y**5/10 - 59*y**4/3 - 52*y**3 + 3*y**2 + 4*y + 32. Determine a, given that o(a) = 0. -78, -1, 2 Let s = 531 + -531. Let z(w) be the third derivative of 0 + 1/90*w**5 + 7/36*w**4 + 0*w + s*w**3 - 10*w**2. Factor z(j). 2*j*(j + 7)/3 Let n(d) be the third derivative of -d**7/525 - d**6/100 + d**5/10 + 19*d**4/60 - 2*d**3 - 2*d**2 - 31. Determine w, given that n(w) = 0. -5, -2, 1, 3 Suppose 26/5*d**2 + 0 - 2/5*d**3 - 24/5*d = 0. Calculate d. 0, 1, 12 Let i = -115 + 117. Let f be 6*(-2 - (-5)/i) - -1. What is t in 26*t**2 - 36*t + 24 - 8 - f*t**3 - 2*t**2 = 0? 1, 4 Let r(d) be the third derivative of -d**5/30 + 5*d**4/3 - 612*d**2. Factor r(i). -2*i*(i - 20) Let q = -7666 - -7673. Let b(u) be the second derivative of 10*u**2 - 1/4*u**5 + 0 - q*u - 5/4*u**4 + 0*u**3. Factor b(l). -5*(l - 1)*(l + 2)**2 Let t(z) be the second derivative of -1/3*z**4 + 0*z**2 + 0 - 5/6*z**3 - 1/90*z**6 + 1/10*z**5 + z. Let c(q) be the second derivative of t(q). Factor c(v). -4*(v - 2)*(v - 1) Let h = 391241/4 - 97810. Factor 0 + 0*y - h*y**4 - 1/4*y**3 + 1/2*y**2. -y**2*(y - 1)*(y + 2)/4 Let k(g) be the first derivative of 1/26*g**4 + 50/13*g + 44 + 15/13*g**2 - 6/13*g**3. Find r such that k(r) = 0. -1, 5 Solve -3/2*r**3 + 87/2*r**2 + 96 + 141*r = 0. -2, -1, 32 Let a(x) be the third derivative of x**5/270 - 7*x**4/27 + 32*x**3/9 - 2*x**2 - 367*x. Factor a(l). 2*(l - 24)*(l - 4)/9 Let l(j) = -35*j**3 + j**2 + 2*j + 1. Let f be l(-1). Solve 14 + 3*h**3 + f*h - 2 + 13*h + 24 + 21*h**2 = 0 for h. -3, -2 Let y(h) be the second derivative of -h**8/26880 - h**7/2520 - h**6/720 + 11*h**4/12 - 4*h + 13. Let p(d) be the third derivative of y(d). Solve p(z) = 0 for z. -2, 0 Suppose -4*o + 3*l - 5 = -269, 4*o + 3*l = 288. Let z = -64 + o. Factor 10*s + 15*s + 46*s**2 - 18*s**2 - z*s. 4*s*(7*s + 5) Let s(z) be the first derivative of 0*z + 0*z**2 + 15/4*z**4 + 3*z**5 + 5/6*z**6 + 5/3*z**3 + 69. Factor s(x). 5*x**2*(x + 1)**3 Let x(i) be the first derivative of 4/3*i**3 - 14*i**2 - 72*i - 82. Factor x(g). 4*(g - 9)*(g + 2) Let w(s) = 1 - 3*s**3 + 2 - 2*s + 1 - s**2 - 4*s**2. Suppose 4*r + 5 = -15. Let l(y) = 7*y**3 + 11*y**2 + 5*y - 8. Let f(c) = r*w(c) - 2*l(c). Factor f(g). (g - 1)*(g + 2)**2 Determine o so that -40040*o + 515*o**2 + 118580/3 - 5/3*o**3 = 0. 1, 154 Let t(h) be the first derivative of -h**6/18 + 3*h**5/5 - 23*h**4/12 + 11*h**3/9 + 4*h**2 - 20*h/3 + 150. Solve t(j) = 0. -1, 1, 2, 5 Let v(a) be the second derivative of -1/110*a**5 + 3/44*a**4 - 2/11*a**3 - 2*a + 0 + 3/2*a**2. Let t(c) be the first derivative of v(c). Factor t(f). -6*(f - 2)*(f - 1)/11 Let i(w) = -5*w**3 - 6*w**2 + 9*w - 42. Let k(v) = 6*v**3 + 8*v**2 - 9*v + 48. Let b(m) = -5*i(m) - 4*k(m). Let b(u) = 0. What is u? -3, 2, 3 Suppose 5*j = 3*c - 15, 47*j - 45*j = 4*c - 6. Factor 1/7*t**3 - 5/7*t**2 - 6/7*t + c. t*(t - 6)*(t + 1)/7 Let q be (-50)/(-12) - (-2)/(-12). Suppose 7 - 43 = -q*p. Determine v, given that -5*v**2 - 54 - 4*v + p - 26*v + 0*v**2 = 0. -3 Let c(g) be the second derivative of -121*g**4/36 - 638*g**3/9 - 1682*g**2/3 + 93*g + 11. Factor c(u). -(11*u + 58)**2/3 Let u(b) = b**2 - 5764*b + 8248409. Let v(g) = -4*g + 5. Let r(w) = -3*u(w) + 15*v(w). Factor r(i). -3*(i - 2872)**2 Let d(q) = 5*q**2 - q + 1. Let v(m) = -2*m**3 + 4*m**2 - 38*m - 114. Let u(x) = 10*d(x) + v(x). Find y, given that u(y) = 0. -1, 2, 26 Let z(g) be the third derivative of g**6/12 - 221*g**5/30 - 236*g**4/3 - 964*g**3/3 + g**2 + 246*g + 1. Solve z(y) = 0 for y. -2, 241/5 Let k be 18/10 + (-1066)/(-130). Let u(h) be the first derivative of 0*h**4 + 4/45*h**5 + 0*h**2 + 0*h**3 + k + 0*h - 5/27*h**6. Factor u(x). -2*x**4*(5*x - 2)/9 Let f(i) be the third derivative of i**5/240 - 69*i**4/16 + 14283*i**3/8 - 37*i**2. What is a in f(a) = 0? 207 Suppose -3*d = -0*d. Suppose x - 28 - 6 = d. Factor 38 + z**2 + x + 40 - 111 - 2*z. (z - 1)**2 Let c(b) be the third derivative of 23*b**7/1260 - b**6/360 - 299*b**5/360 - 125*b**4/72 + 2*b**3/3 - 570*b**2. Suppose c(i) = 0. Calculate i. -3, -1, 2/23, 4 Let l = -113 - -118. Suppose 12 = p - 4*a, -4*p = -6*p - l*a - 15. Suppose -9/8*y - 3/8*y**3 + p + 3/2*y**2 = 0. What is y? 0, 1, 3 Let 261/5 + 35*r**4 - 82/5*r**3 - 436/5*r**2 + 84/5*r - 2/5*r**5 = 0. What is r? -1, 1, 3/2, 87 Let w = -17 + 15. Let s be 0 - -1 - 2/w. Factor 6*c - c**3 - 3*c**3 + 2*c**4 - s*c + 0*c**3 - 2. 2*(c - 1)**3*(c + 1) Let n(y) be the second derivative of y**6/30 - 193*y**4/6 - 528*y**3 - 2783*y**2/2 + 13*y - 16. Determine x, given that n(x) = 0. -11, -1, 23 Let l(w) be the third derivative of w**7/840 + 967*w**6/240 + 937021*w**5/240 + 155687*w**4/8 + 77763*w**3/2 - 16*w**2 + 24*w. Determine z, given that l(z) = 0. -966, -1 Let 4/3*x**3 - 2/3*x**5 - 2/3*x + 0 + 0*x**2 + 0*x**4 = 0. Calculate x. -1, 0, 1 Let t(i) be the second derivative of -i**6/30 - 19*i**5/20 - 119*i**4/12 - 245*i**3/6 + 1825*i. Determine f so that t(f) = 0. -7, -5, 0 Let g(m) be the third derivative of m**7/105 + 17*m**6/30 + 253*m**5/30 - 51*m**4 + 108*m**3 + 2371*m**2 - 2. Factor g(x). 2*(x - 1)**2*(x + 18)**2 Let a be (-10324)/(-11020) - (-2)/(-10). Suppose a*q - 2/19*q**2 - 24/19 = 0. What is q? 3, 4 Suppose -1282 = -4*y + 986. Factor 674 + 280*z**2 - 192*z + y*z - 245*z**3 - 584. -5*(z - 2)*(7*z + 3)**2 Factor 92/5*b**2 + 4/5*b - 92/5 - 4/5*b**3. -4*(b - 23)*(b - 1)*(b + 1)/5 Let h(j) be the third derivative of j**6/40 + 29*j**5/100 - 141*j**4/40 + 27*j**3/10 - 14*j**2 - 25*j - 1. Factor h(u). 3*(u - 3)*(u + 9)*(5*u - 1)/5 Suppose -5*u = -12*v + 18*v - 33, 18 = 3*u + 3*v. Let j(z) be the first derivative of 2*z**4 + 0*z**2 + 4/3*z**u + 4/5*z**5 + 0*z + 33. What is b in j(b) = 0? -1, 0 Suppose 59*h - 1411 - 603 = 1113. Let s(y) be the third derivative of -2/21*y**4 - 1/105*y**5 - h*y**2 + 0 - 2/7*y**3 + 0*y. Factor s(j). -4*(j + 1)*(j + 3)/7 Let i(j) = 4*j**2 - 13*j + 52. Let k be i(-9). Let f = k + -1971/4. Factor -13/4*n - 7/4 - 5/4*n**2 + f*n**3. (n - 7)*(n + 1)**2/4 Let i(c) be the first derivative of c**4/14 - 38*c**3/21 + 9*c**2 - 90*c/7 - 2848. Determine j so that i(j) = 0. 1, 3, 15 Suppose -23 = -q + 1. Suppose 4*z + 16 = q. Factor 2*u**2 - 25 - 4*u**2 - 30*u - z*u**2 - u**2. -5*(u + 1)*(u + 5) Let w be 10/7 + (44/28 - 1). Factor 94*x**2 - 60*x**2 + 3*x - 3*x**3 - 55*x**w + 21. -3*(x - 1)*(x + 1)*(x + 7) Let g(k) be the first derivative of -k**5/45 + 14*k**3/9 - 40*k**2/9 - 159*k + 25. Let t(d) be the first derivative of g(d). Factor t(s). -4*(s - 4)*(s - 1)*(s + 5)/9 Let w be (-3 + 6/(270/125))*(-54)/6. Determine o so that 21/8*o**3 + 3 + 27/2*o + 45/4*o**w = 0. -2, -2/7 Let z(m) = -3*m**3 + 20*m**2 - 59*m + 10. Let t(u) = 24*u**3 - 161*u**2 + 488*u - 79. Let q(g) = -2*t(g) - 17*z(g). Factor q(s). 3*(s - 4)*(s - 1)**2 Let q be 6/(-8) + (-21)/(-12). Let f be (q - -1)*(-2 - 21/(-6)). Let 6*r + 19*r - 10*r**4 - r + 10 - 25*r**f + r = 0. What is r? -2, -1, -1/2, 1 Let z = 233 - 231. Factor 4*x + z*x**5 - 53*x**4 - 8*x**2 + 0*x + 18*x**3 + 43*x**4 - 6*x**2. 2*x*(x - 2)*(x - 1)**3 Let h(a) be the second derivative of 41/15*a**3 - 81/10*a**2 - 45 - 1/60*a**4 + 3*a. Suppose h(i) = 0. What is i? 1, 81 Let p be (-2365622)/18180 + 130 - 2*1/(-9). Let d be ((-3)/(-4))/(4/16). Solve 0*h**d + p*h**4 + 0*h + 2/5 - 1/2*h**2 = 0 for h. -2, -1, 1, 2 Suppose 14/5*m**2 + 0 + 0*m + 2*m**4 + 2/5*m**5 - 26/5*m**3 = 0. Calculate m. -7, 0, 1 Let l(a) be the first derivative of 0*a**2 + 5/12*a**4 + 17*a + 40 + 0*a**3. Let o(h) be the first derivative of l(h). Suppose o(y) = 0. What is y? 0 Let c(v) be the third derivative of v**5/15 - 7*v**4/3 - 38*v**3/3 - 49*v**2 - 2. Let i(y) = -y**2 - y + 2. Let h(k) = -c(k) - 8*i(k). Factor h(q). 4*(q + 1)*(q + 15) Let t(a) be the first derivative of -a**5/30 + 7*a**4/2 - 41*a**3/3 - 57*a**2/2 - 5. Let l(w) be the second derivative of t(w). Factor l(m). -2*(m - 41)*(m - 1) Let f = 2 - 0. Suppose -291*k + 287*k = -24. What is j in -9 + 10 + f*j**5 + 8*j - 1 - 4*j**4 + 8*j**2 - k*j**3 = 0? -1, 0, 2 Let m(n) be the first derivative of 2*n**4 + 6*n**3 - 10*n**2 - 6*n - 494. Factor m(d). 2*(d - 1)*(d + 3)*(4*d + 1) Let b(n) be the first derivative of -2*n**6/15 + n**5/20 - 60*n + 223. Let u(m) be the first derivative of b(m). Factor u(i). -i**3*(4
{ "pile_set_name": "DM Mathematics" }
*y. What is the units digit of (-2)/(3/t*j)? 4 Let w(f) = -f**2 + 5*f - 4. Let i be w(5). Let s = 12 + i. What is the units digit of s? 8 Let i(p) = p + 2. Let j be i(-5). Let h(o) = -o**3 - 2. Let w be h(j). Suppose -w + 10 = -5*b. What is the units digit of b? 3 Let c = 48 + -80. Let m = -25 - c. What is the units digit of m? 7 Let c(r) = 12*r**2 + 9*r + 16. What is the hundreds digit of c(-4)? 1 Let t(w) = -4*w + 2*w**2 - w**2 - 5 - 2*w + 4*w. Let v be t(-4). Let q = -10 + v. What is the units digit of q? 9 Let q(k) = -2*k + 5. Let y(t) = -1. Let p = -1 - 1. Let z(x) = p*q(x) - 10*y(x). What is the units digit of z(2)? 8 Let s = -12 - -9. What is the units digit of s*3*(2 + -4)? 8 Let j be (9/(-3))/(1 + 0). Let p(o) be the second derivative of -o**4/12 - 5*o**3/6 - 2*o**2 - 3*o. What is the units digit of p(j)? 2 Suppose -39 = -7*t + 6*t. What is the units digit of t? 9 What is the units digit of (1/2)/(3/762)? 7 Suppose 10*c - 1605 = 745. What is the tens digit of c? 3 Let a = 75 - 41. Let n = a + 22. What is the tens digit of n? 5 Suppose -3*g = -0 - 18. What is the units digit of g? 6 Suppose i - r = 82, i + 2*r - 76 = 6*r. What is the units digit of (-12)/i - 30/(-14)? 2 What is the units digit of 888/34 - (-26)/(-221)? 6 Let m(z) = z**3 - 6*z**2 + 2*z - 4. Let c be m(6). What is the units digit of (c/(-5))/(2/(-5))? 4 Let m = 403 - 163. What is the units digit of m? 0 Let g(m) = 11*m**2 + 1. Let y be (3 - 0)/(-2 + 5). What is the units digit of g(y)? 2 Suppose -4*k + 17 = 5. Let b be (10 - 3/k) + 0. What is the units digit of b - (0 + -1 + 1)? 9 Let t(v) = -v**2 - v + 4. Let n be t(0). Suppose 1 - 7 = -2*h. Suppose -4*g = q + h*q - 52, -60 = -5*g - n*q. What is the units digit of g? 8 Suppose -3*a = 5*m, -4*m = 11 + 1. Suppose 2*n + 18 = a*n. What is the units digit of n? 6 Let t(k) = 11*k**2 - k - 2*k**2 + 2*k. Let n be t(-1). Let y = n - 4. What is the units digit of y? 4 Let d = -245 + 352. What is the tens digit of d? 0 Suppose 3*g + 2 + 1 = 0. Suppose -4*d - 8 = -2*q, 0*q = -2*q - 4*d + 40. What is the units digit of g*(-1)/(2/q)? 6 Let k(n) be the first derivative of n**5/20 + n**4/12 + n**3/6 + 3*n**2 + n - 2. Let z(w) be the first derivative of k(w). What is the units digit of z(0)? 6 Suppose 425 = 5*f - 3*z, -2*z + 4*z + 174 = 2*f. What is the tens digit of f? 8 Suppose -241 = -3*k + 2*c, 4*k = k + c + 239. What is the tens digit of k? 7 Let m(b) = b**2 + 9*b + 9. Let a be m(-7). Let y = 10 + a. Suppose -11 = -y*c + 4. What is the units digit of c? 3 Let u(s) = s - 3. Let c be u(3). Suppose c = 4*m - 2*m + 6. Let f = 4 - m. What is the units digit of f? 7 Let h(o) = o**2 - o - 2. Let l be h(-5). Suppose 4*x + l = -0*x. Let t(m) = m**2 + 8*m + 9. What is the units digit of t(x)? 2 Let p(c) = c**3 - 10*c**2 + 2*c + 4. Let s(a) = 10*a**2 - a - 1. Let g be s(-1). What is the units digit of p(g)? 4 Let d(b) be the second derivative of 1/20*b**5 + 0 + 0*b**3 - 1/4*b**4 - 3*b - 3/2*b**2. What is the units digit of d(4)? 3 What is the units digit of (-470)/(-4)*-2*(3 - 4)? 5 Let f(t) = 10*t**3 - 2*t**2 - t. Let v be f(-1). Let k = v + 16. What is the units digit of k? 5 Let b = 11 - 10. Let a = 29 - b. What is the tens digit of a? 2 Suppose -1875 = -7*z + 211. What is the tens digit of z? 9 Let k = 31 - 9. Suppose y + 2*u = 18, 3*y = 5*y - 3*u - k. What is the units digit of y? 4 What is the units digit of ((-219)/6 + 1 + 2)*-2? 7 Suppose -11 + 7 = -g. Suppose -2*o = -g*o + 60. What is the tens digit of o? 3 Let i(k) = -k**2 + k - 8. Let w(y) be the first derivative of -4*y**3/3 + 2*y**2 - 24*y + 1. Let r(u) = -7*i(u) + 2*w(u). What is the units digit of r(0)? 8 Let y = -46 - -16. Let t = y - -50. What is the tens digit of t? 2 Let b be (-23)/(-3) - 8/12. Let f = -2 + b. Suppose 0 = f*n - 5 - 15. What is the units digit of n? 4 Let t = -11 + 23. Suppose -t + 9 = -3*v. What is the units digit of v? 1 Suppose 276 + 16 = 4*h. What is the tens digit of h? 7 Let u(k) = k**2 - 2*k - 1. Suppose 16 - 6 = -5*t. What is the units digit of u(t)? 7 Let p = 9 - 7. Suppose -4*h + 34 = 3*k, p*k - 4*h + 3*h - 8 = 0. What is the units digit of k? 6 What is the units digit of 132/4 + -2 - 1? 0 Let h(o) = o**2 + o + 8. Let s = 4 + -4. What is the units digit of h(s)? 8 Let s = -60 + 238. What is the units digit of s? 8 Suppose 0 = -3*a - a - 16. Let n be a/(-14) + (-116)/14. Let g = n + 12. What is the units digit of g? 4 Let c(d) = 16*d - 3. Let j be c(4). Let i be 2/(-7) - j/7. What is the units digit of -3 - (0 - 2) - i? 8 Suppose 0 = -2*v - 2*v + 4. Let l = 4 - v. Suppose -5*y + l*y = -18. What is the units digit of y? 9 Let x = 62 + 69. What is the hundreds digit of x? 1 Suppose -4*f + 348 = 4*g, f = -4*g + 6*f + 375. What is the tens digit of g? 9 What is the units digit of -1 - (4 + -5) - -10? 0 Suppose -4*o + o + 36 = 0. Let q(w) = w**2 - 11*w + 5. What is the units digit of q(o)? 7 Let z = 77 + 198. What is the tens digit of z? 7 Let j be (10/4)/(7/(-70)). Let w be 4/6 - j/(-15). What is the tens digit of (-3 + 16 - w) + 2? 1 Let g(n) = 2*n**3 + 2 + 6*n**2 - 4 - 3*n**3 - 4*n. Let w be (-4)/1 - 36/(-4). What is the units digit of g(w)? 3 Let i(h) = h**3 + 5*h**2 + 4*h. Let m be i(-5). Suppose 2*p = -4, -n - 6*p - 20 = -3*p. Let u = n - m. What is the units digit of u? 6 What is the tens digit of (-5)/(-14 + -1)*525/1? 7 Suppose -3*f = -5*f - s + 8, 0 = 5*f + s - 20. Suppose 60 = 4*t + 4*n, 3*t - 14 = -f*n + 34. Let g = -5 + t. What is the units digit of g? 7 Let t(q) = q**2 - 2. Suppose -2 - 4 = -3*r. Let l be t(r). Let c = l - 0. What is the units digit of c? 2 Suppose -2*x - 20 = -132. What is the units digit of x? 6 Let c(w) = -7*w - 14. Let b be c(10). Let x = -49 - b. What is the units digit of x? 5 Let u = -9 - -12. Suppose -u*n + 12 + 51 = 0. What is the units digit of n? 1 Suppose 3*r = -9 - 0. What is the tens digit of (-2)/(r/(-33)*-1)? 2 Let w(l) = -2*l**3 - 3*l**2 - 4*l - 2. Let h be w(-2). Suppose h = 3*y - 5. Let q = y + -3. What is the units digit of q? 2 Let s(z) = 6 - 14 - 3*z + 2*z + 5*z. What is the units digit of s(9)? 8 Let u(n) = 23*n. Let c be u(6). What is the units digit of 9/(-6) - c/(-12)? 0 Let i(x) = -6*x**3 - x**2 - 2*x. What is the tens digit of i(-2)? 4 Let u = -1 + 3. Suppose 0 = -f - 4*o - 4, o = u*f + 5*o - 8. What is the tens digit of f? 1 Let v be (-119)/(-34) + (-6)/4. Let k(t) = 5*t**2 + 4*t - 6. Let f(y) = 4*y**2 + 4*y - 5. Let d(m) = 3*f(m) - 2*k(m). What is the units digit of d(v)? 3 Let y(q) = -2*q. Suppose 3 = -3*x + 30. Suppose -5*i = -1 - x, 3*v = -2*i - 2. What is the units digit of y(v)? 4 Let g(i) = 1 + 1 - 2*i - 4 + i. What is the units digit of g(-3)? 1 Suppose 26 = 4*j - 3*d, -6*d = 5*j - 2*d - 17. Suppose j*c - 30 = w + 107, 4*c = -5*w + 127. What is the units digit of c? 8 Let g(z) = -2*z**2 + 22*z - 1. What is the units digit of g(9)? 5 Suppose 2*g + g - 324 = 0. What is the units digit of g? 8 Let q = -21 - -13. What is the tens digit of 6*q/12*-4? 1 Let q(k) = k + 5. Let s be q(-2). Let n(c) = c**3 - 5*c + 4. What is the units digit of n(s)? 6 Let y(i) = -i**2 + 8*i - 9. Let s be y(6). Suppose -5*a = -3*b - 0*b + 28, -19 = -4*b + s*a. Suppose -2*q + b + 7 = 0. What is the units digit of q? 4 Suppose -5*p + 2*c - 148 = 0, -3*p - 19 - 53 = 3*c. Let r = 46 + p. What is the tens digit of r? 1 Suppose -2*a = -l + 2*l - 3, -3*a = -5*l + 15. Suppose -5*s = -2*i + 7, l*i - 2 = -5*s + 21. What is the units digit of i? 6 Let z = -37 + 78. What is the units digit of z? 1 Let c = 1 + 0. Let y(v) = v**2 - v - 9. Let s(u) = u - 1. Let i(j) = c*y(j) - 3*s(j). What is the units digit of i(6)? 6 Let s = 5 - 0. Let j(k) = k**2 - 4*k + 0*k**2 - 4 + 3. What is the units digit of j(s)? 4 Suppose 5*a - 204 = 36. Suppose 3*h + a = 5*z, -5*z - 3*h = -2*z - 24. What is the units digit of z? 9 Suppose 0 = -11*d + 1230 + 1410. What is the tens digit of d? 4 Let o be (-21)/(-12)*4/(-1). Let a be 1 - (2 + -5 + -2). Let h = a - o. What is the tens digit of h? 1 Suppose -3*m = 16 + 23. Let q = m - -25. Suppose -3*s = 5*p - 20, -12 = -3*s - 3*p + q. What is the tens digit of s? 1 Let p(t) = -t + 8. Let n be p(4). Suppose -n*g = -2 - 2. What is the units digit of g? 1 Suppose 5*d = -2*q + 114, -7*d = q - 3*d - 57. Wh
{ "pile_set_name": "DM Mathematics" }
2/81 Which is the nearest to -3/5? (a) 0 (b) 3.723 (c) -2/45 c What is the closest to -0.1 in -737, -1/3, 4/1567? 4/1567 Which is the nearest to 1/4? (a) -233 (b) 4/7 (c) 4 (d) 1 (e) -1/15 e Which is the closest to -2608? (a) 1/10 (b) -0.11 (c) -12 c Which is the closest to -353? (a) 125 (b) -2 (c) 2/31 (d) 12 b What is the closest to 0 in 5, -2/11, 0.1, 548, -2/5? 0.1 Which is the nearest to -2.2? (a) -22 (b) 3 (c) -31 (d) 8 b Which is the nearest to -0.1? (a) -3 (b) 2 (c) 321 (d) 1405 b Which is the closest to 15/7? (a) 28/13 (b) 11 (c) 0.06 a What is the closest to -1/27 in 409, 2186, 3? 3 What is the nearest to 138/17 in 0.2, 2/37, 3.6, -0.2, 1/9, -0.4? 3.6 Which is the closest to -12.481? (a) 0.24 (b) -0.4 (c) 1/4 (d) -2 (e) 0.3 d What is the nearest to 1 in -907, 417, 4, 2? 2 Which is the nearest to -0.1? (a) -4 (b) 9251 (c) 53 (d) 0 (e) 0.3 d What is the closest to 0.1 in -2, 3/7, -2/13, -0.4, 2/3, -2706? -2/13 Which is the closest to 0.074? (a) -0.5 (b) -1508/3 (c) -1/11 c Which is the nearest to -1/26? (a) 25 (b) -3 (c) 1 (d) 4 (e) 0 (f) 5 e What is the nearest to -4 in 9, 8, -12241, 1/7? 1/7 What is the nearest to 3/7 in 0.04, 1/3, -4, 5039, 8? 1/3 What is the nearest to 1143 in 0.056, 1, -0.394? 1 What is the closest to -4/15 in -3/8, -162, -0.038, -2/15, 0? -3/8 What is the closest to 15/4 in 19, 1, -5, 4? 4 Which is the nearest to -1/76? (a) -0.187 (b) 27 (c) -2/35 (d) -3 c Which is the closest to 0.07661? (a) 96 (b) 2/5 (c) 1 (d) 4 b Which is the closest to -0.6? (a) -2/5 (b) -17 (c) -5/6 (d) 502 (e) 5 a What is the closest to -4/4335135 in 1, -7, 3, 1/5, -0.3? 1/5 Which is the closest to -3? (a) 0.1 (b) 0 (c) 87196 b Which is the nearest to -1? (a) 14.6985 (b) 1/3 (c) 16 b Which is the closest to -0.1? (a) -34 (b) 3 (c) 6047 (d) -4 b What is the nearest to 0.2 in 52, -11, 7696? -11 What is the nearest to -1/6 in -3, -5, -104/5, 0.13, 17? 0.13 What is the closest to 0.06 in 6, 0.4, -3/4, 18.514, 2/3? 0.4 Which is the nearest to -1? (a) 0.5 (b) -194/6985 (c) -36/11 b What is the closest to -40/9 in -5, 7872, -2/7? -5 What is the nearest to -0.1 in 18303, -10, -1, -3? -1 Which is the closest to 2? (a) 85/2331 (b) 4 (c) -5 a What is the closest to -0.1 in -0.3, -222250, 2/39? 2/39 What is the nearest to 873 in 0.4, 18561/4, -0.3? 0.4 What is the closest to 0 in -3, 2443/10, -16? -3 What is the closest to -2/3 in 5, 0.5, -0.3, 0.06, 3/8689? -0.3 What is the closest to -76355 in 2, -3, -5, -0.3, -2/11? -5 What is the nearest to -28/3 in -3, -2.78, 0.2, -4, 1.72? -4 What is the closest to 2/5 in 0.4, -0.5, -6, 0.061, 2/318797? 0.4 Which is the nearest to 1? (a) 1/5 (b) 0.09 (c) 5 (d) 20 (e) -24.5 a What is the closest to 0 in -2/9, 2/3, -2, -72, -10, -0.1448? -0.1448 What is the nearest to -1/2 in 7, 0, 12/5, -0.0136, 0.3? -0.0136 Which is the closest to 1492? (a) -4/5 (b) 24284 (c) 3 (d) -2/11 c Which is the nearest to -3.2? (a) -1/82 (b) -0.2 (c) 1/30 (d) 0 b Which is the nearest to -1/4? (a) -319898 (b) -0.1 (c) 0.2 b What is the nearest to -277/16 in 3/4, -0.3, 58/7? -0.3 What is the closest to -1/26 in 0.2, 10, 0, -5, 5? 0 What is the closest to 841 in -0.1, -11, 164? 164 Which is the closest to -2.9? (a) -2/9 (b) 3 (c) 1.2 (d) 2/167 (e) -8/5 (f) -3/2 e Which is the nearest to 0.2? (a) -0.4 (b) -16 (c) 0.1459 (d) -3 (e) -2/7 c Which is the nearest to 2/9? (a) -3 (b) -1380221/3 (c) 3 (d) 2/5 d What is the nearest to 3 in 4/3, -11691, -18? 4/3 Which is the nearest to 0? (a) 0.1 (b) -0.3 (c) 4 (d) 2/9 (e) 0.6779 a What is the nearest to 1179 in -2, 1520, 2? 1520 What is the closest to 0.1 in 0.02, 7, -43, -0.243? 0.02 Which is the nearest to -0.01? (a) 2 (b) -2/14073 (c) 0.06 (d) 1/9 (e) 3 b What is the closest to 1/2 in -0.0458138, 33, 4? -0.0458138 Which is the closest to -0.01? (a) -5 (b) 5624 (c) 2.2 c What is the closest to 1/4 in -2/7, -0.06, -45.73, -175? -0.06 What is the closest to -3/7 in 106, -4, 69/7, -0.1? -0.1 What is the closest to 0.1 in 2, 6, -2/25, -4117? -2/25 What is the closest to 1 in 59610, -5, 4/9, 0.2, 2? 4/9 Which is the closest to -1? (a) -0.4 (b) 0.2 (c) 1 (d) 809/24 (e) -0.2 (f) 0.4 a What is the closest to 0 in -1/6, -1, 4, -9677, -1/3? -1/6 Which is the nearest to 4? (a) 2/3 (b) -17656 (c) -9 a What is the closest to -1/3 in -1/10, -561479, 3? -1/10 What is the nearest to -1/2 in -85, -1, -27/2, 16? -1 Which is the closest to 1? (a) 1 (b) -1.4 (c) -0.1 (d) 0.066254 a Which is the nearest to 0? (a) 0.072964 (b) 1/7 (c) -5 (d) 0.061 d What is the nearest to 100/9 in -1/7, 1, 0, -793, 2? 2 Which is the nearest to -2/3? (a) 2 (b) -27 (c) 3/53 (d) 3/4 c What is the nearest to 0 in 94.01, -1/2546, 0.4? -1/2546 What is the closest to -0.1 in -0.01, -5/7, -0.3, -5840? -0.01 Which is the closest to 71? (a) 8 (b) 52 (c) 0.0807 (d) -2/3 b What is the closest to 3 in -2, -0.2, 1, 17.34, -10? 1 What is the closest to 24 in 14, -968, 9? 14 What is the closest to -5 in -45, 0.04, 1, 0.3, 0.63? 0.04 What is the closest to 2.4 in -2/7, -3/5, 0.2, 89/16? 0.2 What is the nearest to -1.2 in 3, 0, 60.735, -3, -2? -2 Which is the closest to -1? (a) -39 (b) -0.5 (c) -34.96 (d) -4 b Which is the nearest to -16? (a) -32/5 (b) -20.1 (c) -9 (d) 2/17 (e) 0.3 (f) 0.1 b What is the closest to -1 in 0.1, -11076, 2/9, 4, -5, -0.8? -0.8 Which is the nearest to 3? (a) 0 (b) 8 (c) 2 (d) -2.82 c What is the nearest to 0 in -10229, 0.2, -10, -2/7, -79? 0.2 What is the closest to 2 in -5, 0.93, -4, 1, -11.3? 1 Which is the closest to -1/3? (a) 1 (b) -416 (c) -0.01 (d) 7 c What is the nearest to -0.3 in 1/6, -1/16, -151, -62/101? -1/16 Which is the nearest to -2? (a) 0.2 (b) 16 (c) 4 (d) -0.16065 d What is the closest to -1/11 in 2/5, -0.5, -103, -1/3, -4, -1/1277? -1/1277 What is the nearest to -2/5 in 11, 5, -11/36, -1/2, -0.0412? -11/36 Which is the closest to -0.012? (a) -0.1 (b) -1 (c) -21 (d) -0.5 a Which is the nearest to -235.1? (a) -8 (b) -5 (c) 1/3 (d) -4 (e) 4 a What is the nearest to 1 in -136/5, -266, 5/12, 4? 5/12 Which is the nearest to -2? (a) 4 (b) 19 (c) 18 (d) -1/10 (e) -1 e What is the nearest to -2 in 1/23, 2, 0.1, -0.050304? -0.050304 What is the closest to -1/7 in 53, -1, -2/266483, 3, 1/3? -2/266483 What is the closest to -0.85 in 0.7, 3, 146? 0.7 What is the nearest to -4/9 in -204641, 0.4, 14, 1? 0.4 What is the nearest to -64 in -0.05, 1/2, 4, 0.2, 752/3, -0.5? -0.5 Which is the closest to 2? (a) -25/26 (b) -24 (c) 7.7 (d) -4 (e) 0.4 e Which is the closest to -6/215? (a) -3 (b) -204 (c) 31 a What is the closest to 806560 in 5, 0.2, -4? 5 What is the closest to -10 in -0.6751, -75, 1/5? -0.6751 What is the closest to -0.3 in 31, -0.2, 7, -4? -0.2 Which is the closest to -4? (a) 2/29 (b) 4 (c) 1 (d) 376/3 (e) -7 e Which is the closest to 457? (a) -172 (b) 0.2 (c) 5/2 c What is the closest to -19.4 in 10, 11/3, -0.27? -0.27 Which is the nearest to 1/12? (a) -1 (b) -1/19 (c) 0.5 (d) -131.8 (e) 0.13 e Which is the closest to 2601? (a) 5 (b) -0.1 (c) 3/7 (d) 0.2 (e) 2/5 a Which is the closest to 2/67? (a) 2 (b) -0.048 (c) -350.8 b What is the nearest to 3.9 in 2.4, 3, -37, 18? 3 Which is the nearest to -1/6? (a) -1/40 (b) -6 (c) -82 (d) -1/4 (e) -1/2 (f) 0.2 d What is the closest to 4 in 38, 3530/41, -0.07, 1? 1 What is the nearest to 0.16 in 0, -4, 27598? 0 Which is the closest to 0? (a) 1/3 (b) -0.4 (c) 0.5 (d) -3 (e) 34240 a Which is the closest to -11? (a) 2 (b) -29 (c) 2/371 (d) -5.5 d What is the closest to -0.3 in -0.01, 52639, -4? -0.01 What is the closest to 14 in -26686/9, 1/5, 4? 4 What is the closest to -5301 in 1, 0.4, -3/5, -1/22, 1/3? -3/5 What is the nearest to 0.04 in -5, 3294, -2? -2 What is the closest to -2 in -16/51, 5, 0, 573? -16/51 Which is the closest to 0? (a) 262/5 (b) 0 (c) 0.3 (d) -1.8 b What is the closest to -4.05 in 4, 69, 1/13? 1/13 Which is the closest to 0.1? (a) 15 (b) 2 (c) 1 (d) -0.0743 (e) 53 d What is the nearest to 115.7 in -0.2, 1, -407, 52, 1/6? 52 What is the closest to -0.12 in 56, 4/5, -0.04, -157, 0.3? -0.04 What is the closest to -1/6 in 0.
{ "pile_set_name": "DM Mathematics" }
= -3*s. Is n a multiple of 9? True Let k(f) = f**3 - 5*f**2 - f + 4. Let o be k(5). Let t(a) = 39*a**2 + a. Does 19 divide t(o)? True Let d = 38 - 24. Let y be (-4)/(-6) - 23/3. Let p = d + y. Is 7 a factor of p? True Let m = -24 - -123. Is 7 a factor of 2061/m + (-2)/(-11)? True Let m be 3*186/9*2. Let n = m - 80. Is 11 a factor of n? True Let b(c) = -13*c - 4. Let a = 8 - 12. Is 16 a factor of b(a)? True Let l = -92 - -165. Is l a multiple of 10? False Let z = 3 + 23. Is z a multiple of 24? False Let x = 75 + -43. Suppose -5*i + x + 88 = 0. Let r = -17 + i. Is r a multiple of 7? True Let i(p) = -10*p + 2. Let l = -10 + 7. Is i(l) a multiple of 11? False Let p(z) = -9*z - 15. Suppose 2*w = -4*d - 25 - 5, 3 = -3*d + 5*w. Does 15 divide p(d)? False Let f(u) = -11*u - u**2 + 0*u**2 - 2*u. Suppose -l - 4 - 8 = 0. Does 5 divide f(l)? False Let z(h) = -11*h + 1. Is 9 a factor of z(-4)? True Is 3 a factor of 6*10/330 - 416/(-11)? False Suppose 180 = 9*m - 6*m. Does 20 divide m? True Let t(w) = 3*w - 6. Let z(r) = 5*r - 9. Let f(x) = -8*t(x) + 5*z(x). Is f(0) a multiple of 2? False Let p = 19 + -22. Does 10 divide 1068/36 - 1/p? True Let y = 27 - 15. Is y a multiple of 12? True Is 7 a factor of (-5)/((-25)/310) + -1? False Let x = -36 - -19. Let s = -10 - x. Does 4 divide s? False Suppose 0 = -4*f - f. Suppose f = -2*s + 60 - 26. Does 9 divide s? False Let s = 16 + 10. Is 16 a factor of -3 + s/3*3? False Suppose -3*a + 135 = c, -a - 4*c + 144 = 2*a. Let f be (-92)/3 - 2/(-3). Let i = f + a. Is 5 a factor of i? False Let s be (-2)/4 + 65/(-2). Let q be s/11 + 0/2. Is 3 a factor of q - (20 + -2)/(-2)? True Suppose -x + 105 = -0*x. Suppose i + 32 = -2*y + x, 0 = -2*i + 2. Is 13 a factor of y? False Let o(h) = 2*h**2 + 6*h - 6. Let c be o(6). Let n = 52 + -102. Let v = n + c. Is v a multiple of 26? True Let v(w) = -5*w - 3. Suppose -2*d + 12 - 36 = 2*q, 3*d + 22 = -q. Let k be v(q). Is 15 a factor of (k/(-10))/(6/(-75))? False Let m = 45 + -28. Is m a multiple of 2? False Let z be 2/(-10) + 4/20. Let u = 5 + z. Is 5 a factor of u? True Let w(q) = 23*q**2 + 2*q + 1. Does 20 divide w(-1)? False Let z be (3/(-9))/((-1)/12). Suppose -u - 30 = 2*u + 4*f, -40 = z*u - f. Let c = 14 + u. Is c even? True Let j(i) = 3*i - 12. Let z be j(5). Does 4 divide (-6)/z - (-10 - -1)? False Let v be 3*-1*(-2)/6. Let q(t) be the second derivative of 3*t**5/10 + t**4/12 - t**2/2 - 11*t. Does 3 divide q(v)? True Let w(k) = 19*k**2 + 1. Does 10 divide w(-1)? True Suppose 5*x + s - 297 = 0, 25 = 4*x - s - 218. Is 10 a factor of x? True Suppose -l = 2*l - 657. Is l a multiple of 69? False Let a(q) = -2*q**3 - q. Let v = 3 + -2. Let c be a(v). Does 6 divide -51*(0 - (-1)/c)? False Let q(b) = 5*b**3 - 2*b**2 + 1. Let r be q(-1). Let h be r/(-21) + (-1062)/(-7). Suppose h = -0*s + 4*s. Is s a multiple of 19? True Let s(q) = -q**2 - 12*q - 2. Let v be s(-8). Suppose -j + v = 2*w - 4*j, j = -3*w + 56. Is w a multiple of 10? False Suppose 0*x = 3*x. Suppose -l - 2*f = l + 20, x = -2*f. Let g(b) = b**3 + 9*b**2 - 13*b - 8. Is 11 a factor of g(l)? True Let v(f) = 0*f - f**2 + 0*f**2 + f**3 - f - 2*f**3 + 27. Does 18 divide v(0)? False Suppose 2*s - 8 - 4 = 0. Suppose 3*g - s*g = -54. Is 16 a factor of g? False Let i = 18 - -9. Suppose -4*n - i = -299. Let l = n - 35. Is 13 a factor of l? False Suppose 2*h - 8 = 2*x - h, 0 = -2*x + 4*h - 8. Let u be 8 + 2 + x + 2. Suppose 50 = u*m - 3*m. Is 10 a factor of m? True Suppose 80 = 3*w + 2*p + 10, 2*w - 2*p - 60 = 0. Does 13 divide w? True Let y be -88 - (0 + 3) - -2. Let n = -52 - y. Is n a multiple of 21? False Let n(q) = 14*q**2 - q - 1. Does 6 divide n(-1)? False Suppose 4*j - 7 - 17 = -4*r, 0 = 5*j - 4*r - 66. Is j even? True Let g(a) = a**2 - 4*a - 1. Let k be g(6). Suppose -k = t - 38. Does 9 divide t? True Let t(n) be the first derivative of -n**4 - n**3/3 + n**2/2 + n - 1. Let y be t(-1). Suppose -2*d + 3*d + 35 = s, -y*s + 81 = 5*d. Is s a multiple of 9? False Let j(n) = 7*n + 8. Let m(f) = -6*f - 7. Let t(s) = -4*j(s) - 5*m(s). Is 7 a factor of t(2)? True Suppose s + 2 = -s, -5*i = -2*s - 87. Suppose 4*w = 5*f + i, -3*w = -0*f - 4*f - 12. Is 8 a factor of w? True Let j be 6/4*80/3. Let d = 64 - j. Is d a multiple of 8? True Suppose 0*c - v = -2*c + 244, 2*v = -3*c + 359. Does 16 divide c? False Let s be (-60)/(-14) - (-8)/(-28). Let t be 2*(1 - 2) - 0. Is 56/t*(-2)/s a multiple of 14? True Suppose -4*y - 2*p = -42 - 130, 212 = 5*y + p. Does 21 divide y? True Let s be (2/2)/((-3)/(-6)). Let y(i) = 1 + s*i**2 + 4*i + 0*i - 4*i**3 - 2*i + 0*i**3. Does 2 divide y(-1)? False Let w(c) = 0*c - c - 9 + 47*c**2 + 9. Is 16 a factor of w(-1)? True Let f = 13 - 51. Let k = -15 - 45. Let b = f - k. Does 11 divide b? True Suppose -c + 3*c - 2*j = 206, 3*c = -j + 293. Suppose -5*a - 2*n = -c, 2*a - n - 33 = -4*n. Is a a multiple of 7? True Suppose -2*p = -0*p - 12. Let h(d) be the first derivative of 3*d**2/2 - 3*d + 13. Is h(p) a multiple of 6? False Let o = 72 + -42. Is o a multiple of 8? False Let q(s) = -s**3 - 9*s**2 + s + 12. Let y be q(-9). Suppose 2*k + 2*c = -21 + 61, k - 20 = -y*c. Does 10 divide k? True Suppose -15*f = -12*f - 180. Is 30 a factor of f? True Let a(y) = 5 - 1 + 6*y - 2. Let c be a(4). Suppose -x + c + 0 = 0. Does 12 divide x? False Suppose 54 = 3*v + 5*f + 8, -4*v + 2*f + 18 = 0. Suppose 0 = 6*c - v*c + 10. Does 10 divide c? True Suppose l + 0*l - 2 = 0, -4*w + 5*l + 462 = 0. Is w a multiple of 14? False Let n = 1 - -1. Suppose 0 = -n*o - 3*o + 10. Is 18 a factor of (o - (-1)/(-2))*26? False Suppose -4*s + 130 = -2*o, 3*s - 2*o - 30 = 65. Suppose 2*z + 6*f - f - s = 0, -f + 10 = z. Let n = z - -17. Is n a multiple of 11? True Let w be (-16)/10 - (-6)/10. Let v = 72 + w. Suppose 5*a + v = 196. Is a a multiple of 14? False Let g = 9 - 4. Suppose g*f = 125 - 25. Does 11 divide f? False Suppose 0 = 3*v - 6*v + 9. Suppose -159 = -v*u - 0*u. Is u a multiple of 11? False Let g be (0 - 0)/(4 - 2). Let h(w) = w**2 - 7. Let p be h(g). Is 4 a factor of (-2)/7 - 58/p? True Is 2 a factor of 8/(0 + -4) - -19? False Suppose -72*v + 180 = -69*v. Does 20 divide v? True Let m = -11 + 15. Suppose 4*i - 14 + 2 = -t, -4*t = m*i - 48. Is t a multiple of 12? True Let t(j) = j**3 - 4*j**2 - 7*j + 12. Let f be t(6). Suppose -61 = 5*c - 181. Let y = f - c. Is 6 a factor of y? True Suppose -g - 7 = 4*t, 3*g - 29 = -10*t + 8*t. Is 13 a factor of g? True Let b(w) = -w**2 - 16*w - 4. Let j be b(-7). Let u be (-2)/(-8) - (-165)/(-20). Let x = j + u. Is 17 a factor of x? True Let k(w) = -26*w + 17. Let d(h) = -h**3 + h. Let r(s) = 6*d(s) + k(s). Let q(x) = -2*x**3 - 7*x + 6. Let l(u) = 17*q(u) - 6*r(u). Is l(2) a multiple of 18? True Let d = 5 + -2. Suppose -d*s - s - 28 = 0. Let o(j) = j**3 + 6*j**2 - 9*j - 5. Is 9 a factor of o(s)? True Suppose 3*g - 579 + 159 = 0. Does 28 divide g? True Is (-6)/(-27) + ((-808)/(-9) - 2) a multiple of 22? True Let z = 157 + -88. Does 3 divide z? True Suppose 6 = 2*u + 4*x, 2 - 1 = u + 4*x. Suppose -y + 54 - u = 0. Let t = y - 30. Is t a multiple of 19? True Let m(z) = z - 3. Let d be m(6). Let r(p) be the second derivative of p**4/6 - p**3/6 + 21*p. Does 4 divide r(d)? False Let j(n) = 2*n**3 + n**2 - 2*n + 1. Let b be j(1). Is b - (0 + 104/(-4)) a multiple of 8? False Let u = -7 - -10. Suppose 0 = -u*k - 0*k + 9. Is (-2)/(k/(-33)*2) a multiple of 8? False Let u(p) = 5*p**3 - 3*p**2 + 6*p + 3. Let y(b) = -4*b**3 + 4*b**2 - 5*b - 4. Let t(a) = 3*u(a) + 4*y(a). Is 17 a factor of t(6)? True Let t = 7 + -2. Suppose -3*h - 4*m = m - 48, -m = t*h - 80. Does 16 divide h? True Let x be 3/7 - (-7504)/98. Is 2142/x - (-4)/22 a multiple of 14? True Let l(y) = y**2 + 10*y - 52. Is l(8) a multiple of 12? False Is 272/10 + (-15)/75 a multiple of 9? True Let k(p) = 5*p**2 - 15*p + 16. Is 17 a factor of k(5)? False Let z = 5 + 2. Let g be 480/14 - 2/z. Suppose 4*f - g = 22. Is f a multiple of 6? False Let y be -3 - (-1 - 0/(-2)). Let p be (-6)/12 + 6/(-4). Is y + -1 + (-30)/p a multiple of 6? True Suppose -2*i = -2*s - 44, 0 = 3*i - 0*s - 5*s - 58. Suppose 0 = z + 2*t - i, 4*t - 86 = -3*z + 6*t. Is 14 a factor of z? True Suppose -4*l + 164 = -4*o, 179 = l + 3*l + o. Is 11 a factor of l? True Let t(c) = -c**2 + 5*c - 4. Let n be
{ "pile_set_name": "DM Mathematics" }
: 1, i: 4, c: 4, r: 1, k: 1}. 1/1001 Four letters picked without replacement from trtpttcttdlttttttdtl. Give prob of sequence crpt. 13/116280 Four letters picked without replacement from eegegege. What is prob of sequence egee? 3/28 Three letters picked without replacement from {l: 4, u: 2}. Give prob of sequence lll. 1/5 What is prob of sequence kkkv when four letters picked without replacement from {v: 1, k: 3}? 1/4 Calculate prob of sequence wowo when four letters picked without replacement from oowww. 1/10 What is prob of sequence fd when two letters picked without replacement from sfsfsfdsdssf? 2/33 Three letters picked without replacement from {r: 3, c: 17}. Give prob of sequence crr. 17/1140 Four letters picked without replacement from ttiiitttiiiiittiitit. Give prob of sequence ttit. 77/1615 Calculate prob of sequence tv when two letters picked without replacement from vtwuvt. 2/15 Calculate prob of sequence kd when two letters picked without replacement from xjxxkddskdjxxdxjd. 5/136 Three letters picked without replacement from {d: 4, g: 14}. What is prob of sequence dgg? 91/612 Calculate prob of sequence ggs when three letters picked without replacement from {s: 1, g: 8, w: 2, c: 2}. 14/429 Two letters picked without replacement from {k: 1, v: 1, r: 1, c: 1, o: 1}. What is prob of sequence cr? 1/20 Four letters picked without replacement from {s: 3, l: 9}. Give prob of sequence slss. 1/220 Three letters picked without replacement from ffptkpkfxzp. Give prob of sequence kpk. 1/165 What is prob of sequence rrx when three letters picked without replacement from {x: 8, c: 1, n: 4, r: 2}? 8/1365 Three letters picked without replacement from {m: 1, j: 2, y: 1, g: 3}. Give prob of sequence mgy. 1/70 What is prob of sequence suee when four letters picked without replacement from tueestyw? 1/840 What is prob of sequence wkk when three letters picked without replacement from lwklulklkikkllkwk? 7/340 Three letters picked without replacement from fffffff. Give prob of sequence fff. 1 Four letters picked without replacement from {t: 2, k: 10, y: 1, e: 2, x: 1, p: 2}. What is prob of sequence ekye? 1/3672 What is prob of sequence zeyr when four letters picked without replacement from {y: 1, z: 1, r: 1, p: 1, e: 1}? 1/120 Four letters picked without replacement from {t: 5, a: 2, o: 4, r: 4}. What is prob of sequence tttt? 1/273 Two letters picked without replacement from {m: 2, f: 1}. What is prob of sequence mf? 1/3 Calculate prob of sequence popo when four letters picked without replacement from {p: 16, o: 2}. 1/153 Two letters picked without replacement from plpllgllglll. Give prob of sequence pp. 1/66 Two letters picked without replacement from tiktdkikik. Give prob of sequence td. 1/45 Three letters picked without replacement from {r: 1, y: 1, t: 1, l: 1, p: 1}. What is prob of sequence lyr? 1/60 What is prob of sequence qq when two letters picked without replacement from bwwmqqrr? 1/28 Calculate prob of sequence klu when three letters picked without replacement from {h: 1, u: 1, l: 1, k: 1, p: 1}. 1/60 Two letters picked without replacement from llcclli. Give prob of sequence cc. 1/21 Three letters picked without replacement from qqqqqqq. Give prob of sequence qqq. 1 Three letters picked without replacement from {o: 1, g: 1, c: 2, r: 1, y: 1, j: 1}. Give prob of sequence ogj. 1/210 Two letters picked without replacement from calrrcarilracillaiaa. What is prob of sequence ci? 9/380 Four letters picked without replacement from {j: 5, c: 1, g: 1, s: 2}. What is prob of sequence cgsj? 5/1512 Calculate prob of sequence xx when two letters picked without replacement from {m: 2, x: 2}. 1/6 Two letters picked without replacement from flhhllffflf. Give prob of sequence hf. 1/11 Three letters picked without replacement from lmlmml. What is prob of sequence mll? 3/20 Three letters picked without replacement from {d: 2, n: 1, x: 4, q: 2, v: 7}. What is prob of sequence dxd? 1/420 What is prob of sequence of when two letters picked without replacement from {w: 3, f: 10, o: 4, i: 1}? 20/153 What is prob of sequence fp when two letters picked without replacement from {f: 2, p: 5}? 5/21 Two letters picked without replacement from {j: 2, l: 1}. Give prob of sequence lj. 1/3 Calculate prob of sequence qvqq when four letters picked without replacement from {p: 6, u: 3, q: 1, v: 3}. 0 What is prob of sequence jx when two letters picked without replacement from {q: 1, x: 1, l: 1, g: 1, f: 2, j: 1}? 1/42 What is prob of sequence nnzz when four letters picked without replacement from znzznz? 1/15 Three letters picked without replacement from uxxaxyxxxayy. What is prob of sequence uyx? 3/220 Calculate prob of sequence xjk when three letters picked without replacement from {x: 1, k: 2, o: 1, j: 3}. 1/35 Four letters picked without replacement from vhuvuhvuvubcqqb. What is prob of sequence hqcv? 2/4095 Two letters picked without replacement from {p: 3, w: 5}. Give prob of sequence wp. 15/56 What is prob of sequence sgp when three letters picked without replacement from bssbbgspgbs? 4/495 Three letters picked without replacement from {w: 1, j: 1, f: 2, b: 2, r: 1, y: 1}. Give prob of sequence yjr. 1/336 Calculate prob of sequence buk when three letters picked without replacement from {k: 2, u: 10, q: 1, s: 1, b: 2}. 1/84 What is prob of sequence ag when two letters picked without replacement from {m: 1, a: 2, p: 1, n: 1, s: 1, g: 2}? 1/14 Calculate prob of sequence nn when two letters picked without replacement from {n: 9}. 1 Three letters picked without replacement from zkolhlx. What is prob of sequence hok? 1/210 Calculate prob of sequence to when two letters picked without replacement from tstoctcscsss. 1/44 Four letters picked without replacement from odoodxxx. Give prob of sequence xxdo. 3/140 Calculate prob of sequence jdnn when four letters picked without replacement from jjnnnkddnkdjjnnnn. 1/85 Calculate prob of sequence kk when two letters picked without replacement from {k: 4}. 1 Calculate prob of sequence gn when two letters picked without replacement from ecqgnen. 1/21 Four letters picked without replacement from {b: 4, v: 2}. What is prob of sequence bvvb? 1/15 Calculate prob of sequence zr when two letters picked without replacement from rrbrbzzbrrrbr. 7/78 Two letters picked without replacement from {g: 1, t: 2, p: 5, s: 3, a: 1, v: 1}. Give prob of sequence sv. 1/52 Three letters picked without replacement from ccccnncccn. Give prob of sequence ccn. 7/40 Calculate prob of sequence rr when two letters picked without replacement from {x: 7, d: 1, r: 2, u: 3, k: 5}. 1/153 Calculate prob of sequence bb when two letters picked without replacement from {b: 5, f: 7}. 5/33 Four letters picked without replacement from bbhxgxbkbxhbbkkbk. What is prob of sequence xbgb? 3/1360 Calculate prob of sequence jkkk when four letters picked without replacement from kkjjkkj. 3/35 What is prob of sequence fuff when four letters picked without replacement from {u: 3, f: 3}? 1/20 Four letters picked without replacement from {w: 15, b: 4}. Give prob of sequence bwwb. 35/1292 Two letters picked without replacement from sfsf. What is prob of sequence ss? 1/6 Calculate prob of sequence llux when four letters picked without replacement from {o: 2, x: 4, u: 8, l: 3}. 2/595 Two letters picked without replacement from {x: 9, y: 2, j: 5}. Give prob of sequence xy. 3/40 Four letters picked without replacement from {l: 1, n: 4, d: 1, q: 11, j: 1, w: 2}. What is prob of sequence jqnd? 11/29070 Three letters picked without replacement from {p: 2, f: 3}. What is prob of sequence fpp? 1/10 Four letters picked without replacement from {t: 4, u: 2, n: 1, p: 3, c: 5, r: 5}. What is prob of sequence ctnp? 1/1938 Calculate prob of sequence ht when two letters picked without replacement from beebhbhbbthbtbebb. 3/136 Two letters picked without replacement from zeayz. Give prob of sequence za. 1/10 Four letters picked without replacement from {w: 1, v: 6, n: 2, o: 3}. What is prob of sequence wnoo? 1/990 Three letters picked without replacement from {k: 2, i: 2, e: 1}. Give prob of sequence iie. 1/30 Calculate prob of sequence thp when three letters picked without replacement from {t: 1, w: 1,
{ "pile_set_name": "DM Mathematics" }
. Let s be r(13). Give s*d(w) - u(w). 2*w + 1 Let k(p) be the second derivative of -p**3/6 - 3*p**2/2 + 9*p. Let j(m) = -3*m - 7. Calculate -2*j(x) + 5*k(x). x - 1 Let y(n) = -2*n**3 + 5*n**2 - 6*n - 7. Let d(l) = -l**3 + l**2 - l - 1. What is -5*d(q) + y(q)? 3*q**3 - q - 2 Suppose -w = -4*h + 1, 3*w - 5 = 2*h + 2*h. Suppose w = -3*y + 15. Let c(o) = -2*o**2 + 2*o + 3. Let n(p) = -8*p + 4 + 7*p - 5. Determine y*n(g) + c(g). -2*g**2 - 2*g - 1 Let a(m) = -m**2 - 1. Let l(w) = 2*w**2 - w. Let r be (4/6)/(10/(-15)). What is r*l(g) - a(g)? -g**2 + g + 1 Suppose -5*q + 10 = 0, -3*q - 54 = -5*j + 25. Let g(b) = 26*b + 11. Let o(p) = -9*p - 4. Determine j*o(y) + 6*g(y). 3*y - 2 Let n(v) = 17*v**3 - 9*v**2 - 1. Let j(r) = 8*r**2 - 10*r**2 + 4*r**3 + 0*r**3. Determine 9*j(f) - 2*n(f). 2*f**3 + 2 Let w be (-11)/2 - (-2)/(-4). Let b = w + 3. Let d(c) = -c**2 + 2. Let k(n) = 2*n**2 + n - 2. Determine b*k(j) - 4*d(j). -2*j**2 - 3*j - 2 Let s(q) = -9*q - 13. Let m(l) = 3*l + 4. Give 7*m(y) + 2*s(y). 3*y + 2 Let l(i) = -8*i**3 - 7*i**2 + i - 5. Let s(o) = 7*o**3 + 6*o**2 - o + 4. What is -4*l(c) - 5*s(c)? -3*c**3 - 2*c**2 + c Let c be (3/(-6) - 1/2)*1. Let h(b) = b - 1. Let q = 7 + -2. Let t(n) = 3*n - 3. What is c*t(a) + q*h(a)? 2*a - 2 Let l(p) be the first derivative of -5*p**3/3 + 11*p**2/2 + 11*p - 6. Let o(y) = -y**2 + 2*y + 2. Calculate -2*l(n) + 11*o(n). -n**2 Suppose x = -2*x + 12. Let a be 14*((-8)/x)/4. Let h(c) = -5*c**3 - 8*c**2 + 6. Let p(v) = -4*v**3 - 7*v**2 + 5. What is a*p(m) + 6*h(m)? -2*m**3 + m**2 + 1 Let t(j) = -18 - 6*j - 3 - 5. Let i(k) = -k - 5. Determine -11*i(h) + 2*t(h). -h + 3 Let q(j) = 2*j - 17. Let h(g) = -g + 16. Determine -3*h(d) - 2*q(d). -d - 14 Suppose -3*x = 5*s - 5*x + 53, 7 = s + 4*x. Let m(k) = -k**2 - 3*k - 2. Let n(u) = -5*u**2 - 13*u - 9. Calculate s*m(z) + 2*n(z). -z**2 + z Let a(j) = 9*j**2 + 6*j + 2. Let n(s) = 8*s**2 + 5*s + 2. Give -6*a(u) + 7*n(u). 2*u**2 - u + 2 Let k(z) = -4*z - 13. Let c(x) = -x - 4. Let f be 2*(-2 + 17/2). Let n = -15 + f. Determine n*k(d) + 7*c(d). d - 2 Let t(g) = -2*g - 5. Let s(l) = -1. What is 3*s(x) - t(x)? 2*x + 2 Let g(p) = 3*p**2 + 7*p - 3. Let x be 2/3*(-7 - -13). Suppose 0 = 5*o + x*j - 6, 1 + 1 = 3*o + 2*j. Let d(r) = -r**2 - 2*r + 1. What is o*g(l) - 7*d(l)? l**2 - 1 Let h(a) = -1. Let b(t) = -6. Let p(v) = -2*b(v) + 11*h(v). Let m(u) = 2*u + 2. Calculate m(g) - 2*p(g). 2*g Let n(f) = f**2 - f + 1. Let c(i) = -2*i**2 + 2*i - 2. Let p = 72 + -60. Calculate p*n(w) + 5*c(w). 2*w**2 - 2*w + 2 Suppose g - 223 = 4*w, -5*w = 3*g + 381 - 115. Let x(s) = -11*s**2 + 6*s + 6. Let d(i) = 100*i**2 - 55*i - 55. What is w*x(a) - 6*d(a)? 5*a**2 Let n(t) = -t**2 - t. Let v(g) be the third derivative of g**5/60 + g**4/12 - g**2. Let a be v(-3). Let m(d) = -2*d**2 - d. Determine a*m(y) - 5*n(y). -y**2 + 2*y Let s(d) = -3*d. Let m be (-8 - -6)*1*2. Let q(b) = -3*b + 6*b + 0*b. Determine m*q(r) - 5*s(r). 3*r Let d(s) = s + 1. Let a(t) = -7*t - 3. Let l = -68 - -73. What is l*d(k) + a(k)? -2*k + 2 Let f(k) be the first derivative of 4*k**3/3 - k**2/2 - k - 3. Let j be (-1)/3*1*33. Let p(o) = 21*o**2 - 5*o - 5. Calculate j*f(w) + 2*p(w). -2*w**2 + w + 1 Let l(j) be the second derivative of j**3/2 - 11*j. Let n(c) = c**2 + 5*c. Calculate 5*l(m) - 3*n(m). -3*m**2 Let l(z) = 13*z**3 + 9*z**2 + 9*z - 9. Let f(j) = -3*j**3 - 2*j**2 - 2*j + 2. Let d = -6 - -15. Suppose -7*m = -80 + 66. Give d*f(o) + m*l(o). -o**3 Let c(i) = i**3 - 2*i**2 - 3*i + 3. Suppose 5*b - 30 = -5*b. Let k(p) = 3*p**3 - 6*p**2 - 8*p + 8. What is b*k(m) - 8*c(m)? m**3 - 2*m**2 Let m(k) = 2*k**3 - k**2. Let a = -3 + 5. Let y(i) = i**2 - 5*i**2 + 5*i**a - 2*i**2. Calculate m(q) - y(q). 2*q**3 Let z(d) = -3*d**2 - 12*d. Let c(m) = m. Give -12*c(h) - z(h). 3*h**2 Let x(a) be the first derivative of -a**3/6 + a**2/2 - a + 1. Let t(p) be the first derivative of x(p). Let g(o) = o - 1. Determine 4*g(w) + 3*t(w). w - 1 Let h(w) = -w - 2. Let p(a) = -29*a - 17*a + 45*a. Let b = 8 + -6. Determine b*p(t) - h(t). -t + 2 Let m(x) = -10*x**2 + 2. Let s(q) = -41*q**2 + 9. Calculate 18*m(i) - 4*s(i). -16*i**2 Let p(t) = 7*t - 3. Let i(a) = -13*a + 7. Determine -3*i(d) - 5*p(d). 4*d - 6 Let q(v) = 5*v + 4. Let b be q(-1). Let o be 0*(6/4 + -2). Let w(s) = 0 + o*s + s - 2. Let i(r) = -1. Give b*w(n) + 2*i(n). -n Let z(l) be the second derivative of -5*l**3/6 + 5*l**2/2 - 2*l. Let g(r) = 3*r + 5. Let i(m) = -2. Let y(k) = 3*g(k) + 12*i(k). Calculate -4*y(j) - 7*z(j). -j + 1 Let w(n) = -16*n + 45. Let h(z) = -4*z + 11. Let m(v) = 9*h(v) - 2*w(v). Let s(a) = -2*a + 4. Determine 2*m(g) - 5*s(g). 2*g - 2 Let z(m) = 3*m**3 - m + 1. Let t(o) = o**3 - o + 1. Let p = -48 + 47. Give p*z(b) + t(b). -2*b**3 Let n(d) = 2*d**2 + 2*d - 2. Let v = -61 + 59. Let x(w) = -3*w**2 - 5*w + 5. Give v*x(p) - 5*n(p). -4*p**2 Let q(l) be the first derivative of -6*l + 0*l**2 + 4 - 11/3*l**3. Let u(i) = 4*i**2 + 2. What is -3*q(n) - 8*u(n)? n**2 + 2 Let x(b) = 752*b**2 + 47*b - 47. Let o(u) = -47*u**2 - 3*u + 3. Calculate 47*o(d) + 3*x(d). 47*d**2 Let y(f) = 13*f + 2. Let d(g) = -20*g - 3. Determine 5*d(j) + 8*y(j). 4*j + 1 Let p(i) be the first derivative of i**4 + 2*i**3 + 6*i - 2. Suppose -b - 9 = -3. Let l(o) = o**3 + o**2 + 1. What is b*l(z) + p(z)? -2*z**3 Let j(r) = -2*r**2 + 8*r - 7. Let q = 10 - 5. Let a be j(q). Let b(v) = -8*v**3 + 17. Let z(g) = 3*g**3 - 6. What is a*z(c) - 6*b(c)? -3*c**3 Let h(r) = -r. Let k(t) = 30*t. Determine -198*h(s) - 6*k(s). 18*s Let y(j) = 3*j + 5. Let m(a) = a + 1. What is -5*m(g) + y(g)? -2*g Let j(b) = 3*b**2 + 9*b - 1. Let t(x) = -x**2 - 4*x. Let h be (-3)/(2/(8/(-6))). Let m = -12 - -23. Suppose 4 = 3*g - m. Give g*t(p) + h*j(p). p**2 - 2*p - 2 Let c(m) = m**2 - 1. Let s(q) = q**3 + 5*q**2 + 3*q - 3. What is 3*c(a) - s(a)? -a**3 - 2*a**2 - 3*a Suppose 103 - 82 = -3*o. Let i(b) be the second derivative of -b**3/6 + 4*b**2 + b. Let z(t) = -t + 9. What is o*i(w) + 6*z(w)? w - 2 Let y(g) = -10*g + 3. Let f(l) = -30*l + 9. What is 3*f(q) - 8*y(q)? -10*q + 3 Let h(b) = b**3 + 2*b**2 - 4*b - 4. Let u(p) be the first derivative of p**2/2 + p - 6. Give -h(j) - 4*u(j). -j**3 - 2*j**2 Let c(o) = o - 1. Let d(q) = -q + 1. What is -6*c(g) - 7*d(g)? g - 1 Let v(h) = 2*h + 13. Let y be v(-11). Let g(r) = 3*r**3 + 4*r**2 - 2*r. Let q(u) = -6*u**3 - 9*u**2 + 5*u. Determine y*g(o) - 4*q(o). -3*o**3 - 2*o Let i(j) = -5*j**3 + 5*j**2 + 3*j + 5. Let x(z) = 5*z**3 - 4*z**2 - 2*z - 4. Determine -4*i(y) - 5*x(y). -5*y**3 - 2*y Let c(m) = -5*m**3 - 24*m**2 + 6*m + 6. Let t(j) = -6*j**3 - 24*j**2 + 7*j + 7. What is -7*c(s) + 6*t(s)? -s**3 + 24*s**2 Let z(h) be the second derivative of 1/2*h**2 - 2*h - 1/6*h**3 + 0. Let u(f) = 4*f - 4. What is -2*u(g) - 7*z(g)? -g + 1 Let l(t) = 2*t**3 + 2*t**2 - 4. Let k = -27 + 34. Let x(u) = -3*u**3 - 4*u**2 + 7. What is k*l(y) + 4*x(y)? 2*y**3 - 2*y**2 Let r(c) = 23*c**3 - 9*c**2 - 5*c + 9. Let p(t) = 11*t**3 - 4*t**2 - 2*t + 4. Give 5*p(z) - 2*r(z). 9*z**3 - 2*z**2 + 2 Let y(a) = 15*a - 4. Let v(m) = m + 1. Let w(k) = -5*k. Let f(b) = -v(b) - w(b). Calculate 22*f(h) - 6*y(h). -2*h + 2 Let w(n) = -8*n**3 + 5*n**2 - 5*n + 5. Let f(o) = -4*o**2 + o**3 + o**2 - 1 + 2*o**2 + 16*o - 15*o. Give -5*f(h) - w(h). 3*h**3 Let w(y) = -3*y**2 - 5*y + 2. Let x = -20 - -28. Let l(f) = -f**2 - 2*f + 1. Suppose 0*i - 9 = 3*i. What is i*w(q) + x*l(q)? q**2 - q + 2 Let m(s) = -s**2 - 7*s + 4. Let n be (-4)/14 - 66/14. Let z(y) = y - 7. Let f(p) = 2*p - 13. Let a(u) = -6*f(u) + 11*z(u). Calculate n*a(q) + m(q). -q**2 - 2*q - 1 Let j(k) = -2. Let r(z) = -2*z + 5. Calculate -2*j(s) - r(s). 2*s - 1 Let k(z) = -z - 1. Let g(a) = 7*a + 6. Give g(d) + 3*k(d). 4*d + 3 Let m(r) = -6*r. Let y(b) = 5*b. Suppose i + i - 4 = 0. Suppose -12 = z + i*z. Determine z*m(p) - 5*y(p). -p Let u(t) = 6*t. Let r(d) = -2*d + 23. Let y be r(13). Let b(n) = -n + 4*n - 5*n. Determine y*u(v) - 8*b(v). -2*v Let f(h) = 6*h + 7. Suppose 0 = -2*t, -t - 1 = -2*c + 5. Let s(w) = -3*w - 3. Determine c*f(l) + 7*s(l). -3*l Suppose 4 = -x + 5. Let r(w) = w + 4. Let t(m) = -2 + 4*m - 3*m + 4 - 1. Determine x*r(q) - 2*t(q). -q + 2 Let n(s) = -3*s**3 - 5*s**2 - 2*s - 3. Let k(d) = d**3 - d**2 - d - 1. Calculate -3*k(v) + n(v). -6*v**3 - 2*v**2 + v Let i(p) = p**3 - 1. Let l(g) =
{ "pile_set_name": "DM Mathematics" }
p is positive. p**(-5009/180) Simplify ((r/((r*r*r**(5/7))/r))/r**(-1/11))**(10/13)/(r**(-2/13)/((r/r**(-5))/r)*r*r**(2/15)*r**(-7/4)) assuming r is positive. r**(317777/60060) Simplify ((k/(k*k*k/(k/(k/(k/((k**1*k)/k*k)))))*k)**(1/4)/((k/k**(-23))/k**(-4)))**2 assuming k is positive. k**(-57) Simplify (((o*o*(o*o/(o*o**(-16))*o)/o*o*o)/(o*o**(2/5)))/(o*o*o**(2/31)*o**(-3/2)))**(-1/8) assuming o is positive. o**(-5901/2480) Simplify (a*(a/(a/(a**(-9)/a*a))*a*a)/a*a/(a/a**22)*a/((a*a**(-4/9)/a)/a)*a**(-12))**(-14) assuming a is positive. a**(-686/9) Simplify (d**(-2)*d/(d*d**3)*(d**14/d)/(d/d**(-22)))**(7/4) assuming d is positive. d**(-105/4) Simplify m**2*m*m/(m*m/m**(-5))*(m*m*m/(m/(m*m**(-2/5)/m*m))*m)**(3/8)*(m/m**(3/5))/((m/m**(-6))/m)*(m**1)**(-4) assuming m is positive. m**(-45/4) Simplify u*(u/u**(-17))/u*u**(7/2)*u*((u/(u/(u**(2/25)/u)*u)*u)/u)/u*u**(7/10) assuming u is positive. u**(507/25) Simplify (z**(-6)*z*z*z**(1/8)*z)/(z**(-36)/(z**(-30)*z)) assuming z is positive. z**(33/8) Simplify (b**(-12)*b*b**5)**(-2/9)*((b/b**1)**2)**(-23) assuming b is positive. b**(4/3) Simplify ((c*c*c**(5/2))**9/(c*c**(-3/13)*c*c*c**(3/7)*c))**(-12) assuming c is positive. c**(-39642/91) Simplify (b**(-3)/(b**(3/2)*b))/(b**4*b/(b*b/(b*b**1*b)*b*b))*(b**1)**(-21)/(((b**(1/4)/b)/b*b*b*b)/(b*b/((b/(b/b**(-2/13)))/b))) assuming b is positive. b**(-1487/52) Simplify (((c*c*c**1)/c*c*c)**(-26)/(c/c**(-1))**(-1/12))/(c**(-1/15)*c*c**(3/7))**(-46) assuming c is positive. c**(-2883/70) Simplify ((v*v/(v**(-1/3)/v))**(-24/11))**45*((v**0/v)**(-30))**36 assuming v is positive. v**(8280/11) Simplify (l**(1/2)*l*l/(l*l**4*l))/(l/(l/(l*l*l/(l*l/l**0))*l))**(-7/5)*l*l**(-1/13)*l/l**(2/15)*(((l**(-1/4)/l)/l*l)/l)**(-3) assuming l is positive. l**(3931/780) Simplify (v**(2/39)/v**(-7))/((v*v**(3/4))/v*v/(v**(-9)/v)*v) assuming v is positive. v**(-889/156) Simplify ((m**25/m**(4/9))**(-21))**(2/57) assuming m is positive. m**(-3094/171) Simplify a*a/(a**(-1/6)/a)*a*a/(a**(-3/4)*a)*a**1/a**2*((a**1)**(-2/3))**(-15) assuming a is positive. a**(167/12) Simplify ((t**(-1/2))**22)**(-38)*(t**1)**(-25)*(t*t**(-1)*t)/(t/((t/t**(-1/4))/t)) assuming t is positive. t**(1573/4) Simplify ((v*v/((v**0/v)/v))**1*(v**0/v)**(-2/17))/(v/(((v/(v*v**(-1)))/v)/v)*v**(-1/3)/v*((v/v**(-1/2))/v)/v**(-3)) assuming v is positive. v**(-5/102) Simplify t**(-2/3)/t*t**(-2/7)*t**(1/7)*(t*t**(-7/5))/t*((t*t**(2/17))**3)**(9/2) assuming t is positive. t**(42407/3570) Simplify (o/(o**(-3)*o))/((o**(-5/4)/o)/o)*o**5*o**(-4)*(o/o**(-2/7)*o**(2/7))/((o/((o/o**(-3))/o))/(o/(o*o**1))) assuming o is positive. o**(275/28) Simplify ((x**(5/3))**21/(x**(7/6)*x**(2/69)))**(-2/7) assuming x is positive. x**(-1555/161) Simplify ((a*(a**(-2)*a*a)/a*a*a**5)/((a/a**(2/5))/a*a)**(4/7))/((a**(-8)/a*a**(-2))/(a*a*a/(a*a/a**(-2/13))*a**(4/3))) assuming a is positive. a**(25712/1365) Simplify (l**(1/43)*l**(-39)/l*l*l)/(l**10*l/(l**13/l)) assuming l is positive. l**(-1590/43) Simplify (t**(-2/7)/t*t)**(-50)*t**(-5)*t**(3/7)*(t**1)**38/(t**(1/3)/t*t*t*t)**1 assuming t is positive. t**(953/21) Simplify (o*o*o**(2/17)*(o*o/(o**(3/4)/o))/o)**(38/5)*((o/((o**3/o)/o*o)*o)/o*o/o**(-2))/(o**(-1))**(4/21) assuming o is positive. o**(99191/3570) Simplify ((x**0)**24*(x**1*x)**26)/((x*x**(-1/2))**(20/3)/(x**(2/9)*x)**(-2/19)) assuming x is positive. x**(8300/171) Simplify ((a*a**3)**(-20/9))**(-38)/((a/(a**4*a*a))**(23/5))**(-20) assuming a is positive. a**(-1100/9) Simplify ((((y**(-18/5)/y)**(-16))**(-2/15))**(-16/9))**(-4/5) assuming y is positive. y**(-47104/3375) Simplify (((((q/(q/(q**(-7)/q*q)))/q)/(q/(q/(q/(q*q/(q/(((q*q**8)/q)/q)))))))/((q*q/((q**(-1/2)/q)/q*q))/q**(-5/4)))**(-1/17))**44 assuming q is positive. q**(253/17) Simplify (q**(-1))**(-34)/(q/((q*q**1)/q)*q*q*((q*q**6)/q)/q)*((q/(q**(1/4)/q))**(-40))**(1/7) assuming q is positive. q**17 Simplify ((i**(-2)*i)/(i**(-7)*i))/(((((i*i*i/(i**(-3)*i)*i*i)/i*i)/i)/i)/(i/(i**(-2)/i)))*(i**1/i)**17*i/(i/(i/(i*i**(-4/7))))*i**(-5) assuming i is positive. i**(-3/7) Simplify (b**(-3)*b**15)/(b**37/((b*(b/b**(2/3))/b*b)/b)) assuming b is positive. b**(-74/3) Simplify (((x*(x/(x*x/x**(-3)))/x)/(x*(x/x**(-4/9)*x)/x))/(x**(-1/5)/((x*x**4)/x)))/(x**(-2/3)*x**6/x)**24 assuming x is positive. x**(-4781/45) Simplify (d/d**(-1/5)*d/(d*d**(3/4)))/((d*d**(1/2))/d)**19*((((d/d**(1/14))/d)/d)/d*(d**(-9)/d)/d)/((d*d**5*d*d)/d**7) assuming d is positive. d**(-3237/140) Simplify (f/(f*f**2)*f*f*f/(f/f**14)*(f/((f/f**(3/8)*f)/f))/f*f**(11/2))**(1/16) assuming f is positive. f**(151/128) Simplify (t*t/t**(3/13))/(t*t**16)*(t/(((t*(t/(t**0/t)*t*t*t)/t)/t*t*t)/t))**(-2/99) assuming t is positive. t**(-19498/1287) Simplify ((r/(r*r**(-7))*r**(-2/9)/r)/((r*r**(4/5)*r)/(r**(-2/21)/r)))/((r/r**(-5))**(-26))**(6/19) assuming r is positive. r**(306107/5985) Simplify ((q**1/((q**(-1/7)*q)/q))/(q*q*q**(-1/2))**(-3/11))/((q*q*q**(5/2))/(q/q**5)*q/(q/q**6)*q*q**(-2)) assuming q is positive. q**(-920/77) Simplify ((z*z*z*z**(-1/4))/(z*z**7))/(z**(2/3))**(3/22)*((z*z**(1/9)*z)/(z*(z/((z**(1/6)/z)/z))/z))/(z*z*z**(-1)/z)**(-12) assuming z is positive. z**(-2401/396) Simplify (k*k*k**(-1)*k*k*(k*k/k**9*k)/k*k)**(44/3)/((k/k**(-1/4)*k*k)/(k*k**(-3/2)*k))**(-39) assuming k is positive. k**(253/4) Simplify ((a/(a**(-5)*a))/a)/a*(a*a**1)/a*a**(-5)*a**(-5)/a*a*(a**(2/5)/(a/((a/a**(2/17))/a)))**7 assuming a is positive. a**(-937/85) Simplify ((a**(-2/5))**5)**(-2/27)/((a**1)**35)**(1/5) assuming a is positive. a**(-185/27) Simplify ((j**5/(((j*j**1)/j)/j))/(j/j**(3/7)*j*j/j**(1/4)))/((j/(j/(j*j*j**(-2/5))*j))**(1/42)/((j**(-8)/j)/(j/j**(-6)*j))) assuming j is positive. j**(-2007/140) Simplify (((g/g**(-4/7))/g**(4/9))/(g/((g*g**(1/2))/g))**44)/((g*g**(2/9)*g)**(-34)*(g/(g*g**(-7/5)*g))/g*g*(g/g**(-2))/g) assuming g is positive. g**(16469/315) Simplify l/(l**8*l)*l**(-3)*l*((l*(l/((l/((l/(l*l**(-19/3)))/l))/l))/l)/l)/l*l**(-12/13) assuming l is positive. l**(-257/39) Simplify (u*u/u**23*u*u)/(u*u*(u*u*(((u*u**(-3/32))/u)/u)/u*u*u)/u*u)*(u*u**10)**(-21/2) assuming u is positive. u**(-4429/32) Simplify (i**(2/5)/(i**(3/2)*i))**(-11/7)*((i**1)**(-1/36))**(-2/167) assuming i is positive. i**(24802/7515) Simplify ((g*g/g**(-2/5))**43)**43*((g/g**(1/4))/(g/(g*g/g**0)))**(4/5) assuming g is positive. g**4439 Simplify ((c/c**(-1))/c**(-1)*(c**(2/7)*c)**(6/11))/(c**(-1/6)*(((c**(-2/27)*c)/c)/c)/c)**25 assuming c is positive. c**(248315/4158) Simplify ((c*(c/c**1)/c)**(-27)/(c**1)**(-2/17))/(c/(c/c**(-1/6))*c*c/((c**(-2/9)*c)/c)*c)**(-1/8) assuming c is positive. c**(1223/2448) Simplify (q/(q**3/q)*q**(-4)*q)**22/(q**4*q**2)**22 assuming q is positive. q**(-220) Simplify (d*d*d*(d*d**(1/2)/d)/d*d*d*d*d*d**(-1/11))**(6/7)/(((d/((d**(-7/2)/d)/d))/d*d**(-4)/d)/(d*d*d**2*d/(d*d*d**3*d))) assuming d is positive. d**(615/154) Simplify (s**0/s*(s/(s/((s/(s/(s*s/(s**(5/4)/s*s))*s))/s)))/s)**(-2/13)*(s*s**(-10)*(s**(2/15)*s*s)/s)**(1/6) assuming s is positive. s**(-73/90) Simplify ((p**(11/6)*p*p**(2/7)*p*p)/(p/((p**(-11/5)/p)/p)*p*((p*p**(-5))/p)/p*p*p))**(2/105) assuming p is positive. p**(613/11025) Simplify ((((j**(-11)*j)**(10/9))**(1/33))**(-10/9))**17 assuming j is positive. j**(17000/2673) Simplify (((w*w*w*w**(4/11))/w**(-2/31)*w**(8/3)*(w**(-7)*w)/w*w)**6)**17 assuming w is positive. w**(3298/341) Simplify ((t*t**7*t)**14/(t**15)**(-5/2))**30 assuming t is positive. t**4905 Simplify ((p*p/(p/(p**(-6)/p)))/(((p/(p**(1/6)*p))/p)/p))/(p**(-2/5))**(-23)*((p**(2/5))**3)**(-2/105) assuming p is positive. p**(-13709/1050) Simplify ((t/(t/t**(2/33))*t**13/t)/(t**(14/9)*t*t**(-7/4)*t))**(-6) assuming t is positive. t**(-4061/66) Simplify j**(-1/3)*j**(1/7)*j**1/(j/(j**(-5)/j))*((j**1)**(-2/19))**(-3/14) assuming j is positive. j**(-2461/399) Simplify (((s*s*s/(s/s**(2/21))*s/s**(2/9))**(20/3))**(-2/69))**(3/7) assuming s is positive. s**(-7240/30429) Simplify (t**(-1/6)/t**4)/(t**(-1))**0*((t/(t**(-1)/t))/t**(-1))/(t/t**(3/7)*(t*t*t*((t/(t*t**4*t))/t)/t*t)/t) assuming t is positive. t**(137/42) Simplify ((y**(-2/9))**(-23)/(y**(-12)/y**2))**42 assuming y is positive. y**(2408/3) Simplify ((g/(((g*g**(1/4))/g)/g)*g*g)**49)**(-1/2)*(g**7/g**(-14))**(-6) assuming g is positive. g**(-1743/8) Simplify ((l**(-3/2)/l*l**(-5/4)*l**(-5)
{ "pile_set_name": "DM Mathematics" }
c - 96000 = 0. -16, -5, 48 Determine b so that -5*b**5 - 2799815*b**4 - 64393815*b**3 - 400357705*b**2 - 338763700*b = 0. -559940, -11, -1, 0 Factor 2*p**2 + 364320*p + 728632. 2*(p + 2)*(p + 182158) Factor 11250000*v**3 + 212955000*v**2 + 892859045*v - 1117064045. 5*(v - 1)*(1500*v + 14947)**2 Factor 4*o**2/7 - 33819340*o/7 - 304374384/7. 4*(o - 8454844)*(o + 9)/7 Suppose 3969*h**2 - 335133*h - 2280 = 0. Calculate h. -1/147, 760/9 Let -30*s**3 - 1330269*s**2 - 14746996308*s - 4423979169 = 0. Calculate s. -22171, -3/10 Let -2*k**5 + 3510*k**4 + 102968*k**3 + 897376*k**2 + 3137664*k + 3881984 = 0. Calculate k. -17, -4, 1784 Find b such that b**5/4 - 775*b**4/2 - 93571*b**3/4 + 123539*b**2 - 201063*b + 101304 = 0. -63, 1, 2, 1608 Factor -3*y**2 + 103760991*y. -3*y*(y - 34586997) Determine x, given that 2*x**4/17 - 11570*x**3/17 + 345358*x**2/17 - 333790*x/17 = 0. 0, 1, 29, 5755 Factor 4*g**2 - 11102348*g - 22204712. 4*(g - 2775589)*(g + 2) Factor q**4/3 + 6259776*q**3 + 39184795570176*q**2 + 81762680958364680192*q. q*(q + 6259776)**3/3 Find h such that -2*h**4/15 - 3424*h**3/5 - 57266*h**2/3 - 480284*h/5 - 674256/5 = 0. -5108, -22, -3 Find v such that -2*v**2/7 - 326628*v/7 - 13335731298/7 = 0. -81657 Solve 3*z**5/4 + 2187*z**4/4 + 124425*z**3/2 + 417543*z**2 + 941058*z + 700920 = 0. -590, -132, -3, -2 Find p such that -3*p**3 + 79458*p**2 + 7735365*p + 7655904 = 0. -96, -1, 26583 Factor 54*w**2 + 6249*w - 34485. 3*(w + 121)*(18*w - 95) Suppose 2*i**2/9 - 56648*i/9 + 6103346/3 = 0. What is i? 327, 27997 Determine h so that 2*h**5/5 - 642316*h**4/5 + 51647609442*h**3/5 - 2452971403568*h**2 + 145843638267040*h = 0. 0, 119, 160460 Factor 8158721060307*b**2 - 4947339*b + 3/4. 3*(3298226*b - 1)**2/4 Factor 22*u**2 + 396140*u - 648288. 2*(u + 18008)*(11*u - 18) Solve a**2/4 + 226338871*a/2 + 51229284525554641/4 = 0. -226338871 Factor -3*l**2 - 340501536*l + 340501539. -3*(l - 1)*(l + 113500513) Factor -2*t**3/9 - 10028642*t**2/3 - 12571682473878*t + 188575989257070. -2*(t - 15)*(t + 7521489)**2/9 Factor 4*n**3 - 8476*n**2 + 7944*n + 1118304. 4*(n - 2118)*(n - 12)*(n + 11) Solve 4*a**4 + 40116*a**3 - 4296404*a**2 + 8472444*a - 4216160 = 0. -10135, 1, 104 Suppose f**5 - 468*f**4 + 3623*f**3 + 26620*f**2 - 183552*f - 206080 = 0. Calculate f. -7, -1, 8, 460 Factor 2*h**2/5 - 324752*h/5 - 584586. 2*(h - 162385)*(h + 9)/5 Let -5*b**3 + 4371370*b**2 + 8742800*b - 34971040 = 0. Calculate b. -4, 2, 874276 Find l, given that 3*l**5/5 - 138663*l**4/5 + 83190*l**3 + 554616*l**2/5 = 0. -1, 0, 4, 46218 Factor 21*s**3 + 366771378*s**2 + 1601443325223360*s - 457555265718624. 3*(s + 8732652)**2*(7*s - 2) Let -r**3/6 - 25393*r**2/2 + 558888*r - 18445966/3 = 0. Calculate r. -76223, 22 Find q, given that 2*q**4 - 414110*q**3 + 2070466*q**2 + 7039742*q - 8696100 = 0. -3, 1, 7, 207050 Determine l so that -4*l**2/7 + 49452*l + 36044320/7 = 0. -104, 86645 Let q**5 - 293*q**4 + 12457*q**3 + 149521*q**2 + 271474*q - 433160 = 0. What is q? -7, -4, 1, 65, 238 Determine n so that -4*n**2 - 12819856*n + 51279488 = 0. -3204968, 4 Factor -2*h**2/15 + 317918*h/5 - 6675788/3. -2*(h - 476842)*(h - 35)/15 Solve l**4 + 127086*l**3 + 4038729384*l**2 + 64592095330*l + 157431152775 = 0. -63535, -13, -3 Factor -2*y**2 - 549252*y - 1647738. -2*(y + 3)*(y + 274623) Factor 4*c**3 + 131444*c**2 + 131392*c - 1577280. 4*(c - 3)*(c + 4)*(c + 32860) What is b in b**2/8 - 23465111*b/4 + 550611434242321/8 = 0? 23465111 What is c in 5*c**2/4 + 807455*c/4 + 605580 = 0? -161488, -3 Solve 3*y**5 + 2352*y**4 - 45792*y**3 - 16482*y**2 + 306285*y + 274626 = 0 for y. -803, -2, -1, 3, 19 Factor 3*r**2 - 62664660*r + 327238301076300. 3*(r - 10444110)**2 Suppose 100*g**4 + 7213920*g**3 - 272826084*g**2 + 214798160*g - 42728784 = 0. Calculate g. -72177, 2/5, 37 Determine y, given that -2*y**2/15 - 24222268*y/15 - 24222266/15 = 0. -12111133, -1 Factor -2*n**2/15 - 7770604*n/5 - 4662362/3. -2*(n + 1)*(n + 11655905)/15 Find f such that 4*f**3 - 228*f**2 - 130600*f + 11641344 = 0. -192, 106, 143 Let -6*o**4/7 - 659136*o**3/7 + 9888126*o**2/7 - 29005944*o/7 = 0. What is o? -109871, 0, 4, 11 Factor 3*a**2 + 98221098*a + 803948674360467. 3*(a + 16370183)**2 Let h**5/4 - 171*h**4/4 - 369*h**3/4 + 3955*h**2/4 + 1074*h - 6228 = 0. Calculate h. -4, 3, 173 Factor -4*m**4 + 845064*m**3 + 32961552*m**2 + 428517752*m + 1856948340. -4*(m - 211305)*(m + 13)**3 Factor -h**2/5 - 17867*h/5 - 11689832. -(h + 4312)*(h + 13555)/5 Let -p**5/2 - 4512*p**4 - 20303927*p**3/2 + 122315814*p**2 - 357215670*p = 0. Calculate p. -4518, 0, 5, 7 Let -5*c**3 + 6230*c**2 - 173735*c - 3322410 = 0. Calculate c. -13, 42, 1217 Suppose 4*c**5 - 16180*c**4 - 145876*c**3 - 275708*c**2 + 145872*c + 291888 = 0. Calculate c. -6, -3, -1, 1, 4054 Suppose -214*q**2/15 + 13414306*q/5 - 752204/15 = 0. What is q? 2/107, 188051 Find g, given that -g**4 - 1643*g**3 - 6557*g**2 - 1633*g + 9834 = 0. -1639, -3, -2, 1 Factor 3*y**2/2 + 307938330*y + 15804335847198150. 3*(y + 102646110)**2/2 Find i such that i**2/2 - 34817*i/2 + 10685000 = 0. 625, 34192 Let g**4/6 + 1493*g**3/3 + 853928*g**2/3 + 567296*g = 0. Calculate g. -2216, -768, -2, 0 Let -568*s**4 - 8508*s**3 - 6068*s**2 + 110892*s - 2340 = 0. What is s? -13, -5, 3/142, 3 Let -3*b**2 - 3193644*b - 9580905 = 0. Calculate b. -1064545, -3 Suppose -w**3/2 - 1721081*w**2/2 - 740529091599*w/2 + 740530812681/2 = 0. What is w? -860541, 1 Suppose -3*q**4/5 - 8799*q**3/5 - 1140351*q**2/5 + 2307111*q/5 - 1157958/5 = 0. Calculate q. -2797, -138, 1 Suppose 2*p**5/15 + 56872*p**4/15 - 189664*p**3/5 - 2048188*p**2/15 - 2161922*p/15 - 246532/5 = 0. Calculate p. -28446, -1, 13 Factor -3971*q**3 + 110200*q**2 - 899632*q + 1782272. -(11*q - 32)*(19*q - 236)**2 Find q, given that -2*q**2 + 70200*q - 70198 = 0. 1, 35099 Let -4*q**3/3 - 9742*q**2 + 688678*q/3 - 835620 = 0. Calculate q. -7330, 9/2, 19 Factor -r**3 + 1270039*r**2 - 403236429640*r - 8468525118900. -(r - 635030)**2*(r + 21) Factor -4*c**2 - 8786404*c - 237229992. -4*(c + 27)*(c + 2196574) Determine g, given that -g**4/3 + 8057*g**3/3 - 3953885*g**2 + 4874839943*g/3 + 4886709656/3 = 0. -1, 881, 6296 Factor -5*o**3 - 112570*o**2 + 125*o + 2814250. -5*(o - 5)*(o + 5)*(o + 22514) Factor -3*v**3 - 3075*v**2 + 413475*v + 774259875. -3*(v - 465)*(v + 745)**2 Factor 4*j**3 + 160904*j**2 + 9961600*j + 37272192. 4*(j + 4)*(j + 58)*(j + 40164) Find k such that 2*k**5/11 - 136194*k**4/11 + 2318260156*k**3/11 + 11596476676*k**2/11 - 30147189054*k/11 + 16232588414/11 = 0. -7, 1, 34051 Solve -10*u**4/7 + 1842*u**3/7 + 33778*u**2/7 - 1842*u/7 - 4824 = 0 for u. -84/5, -1, 1, 201 What is x in 2*x**2/7 + 370688956*x/7 + 17176287762546242/7 = 0? -92672239 Factor -245*b**3/4 - 628985*b**2/4 - 102860880*b - 2474200125. -5*(b + 25)*(7*b + 8898)**2/4 Solve 2931772*x**5/7 - 39578930*x**4/7 - 23454068*x**3/7 + 39578986*x**2/7 + 20522296*x/7 - 8 = 0 for x. -1, -1/2, 2/732943, 1, 14 Solve 70*h**2 + 1251555*h + 446975 = 0 for h. -17879, -5/14 Suppose -t**5/5 - 829*t**4/5 - 773*t**3/5 + 45397*t**2/5 - 118314*t/5 + 14904 = 0. Calculate t. -828, -9, 1, 2, 5 Factor 2*x**5/7 - 4376*x**4/7 + 523494*x**3/7. 2*x**3*(x - 2061)*(x - 127)/7 Determine m, given that -m**5 - 7777*m**4 - 15687235*m**3 - 2198348767*m**2 - 58267667968*m + 1703595497348 = 0. -3814, -83, 17 Solve -x**2/4 - 43968675*x/4 - 109921675/2 = 0 for x. -43968670, -5 Solve 5*l**4 + 14169*l**3 - 45516*l**2 - 351932*l - 408528 = 0 for l. -2837, -2, 36/5 Determine n so that -2*n**4/5 - 3731802*n**3/5 - 44781426*n**2/5 - 167930118*n/5 - 201516012/5 = 0. -1865889, -6, -3 What is l in -2*l**2/3 - 20326984*l/3 - 51648284817032/3 = 0? -5081746 Factor -8*j**2/13 - 4994*j/13 - 306498/13. -2*(j + 69)*(4*j + 2221)/13 Let -42*b**4 + 1687774*b**3/3 - 9009178*b**2 + 26142626*b/3 - 267580 = 0. Calculate b. 2/63, 1, 15, 13379 Factor 4418*d**3/7 - 159706*d**2/7 - 33194642*d/7 - 789730070/7. 2*(d - 115)*(47*d + 1853)**2/7 Determine j so that -4*j**3 - 22080*j**2 - 27945792*j + 7106766336 = 0. -2868, 216 Determine w so that -5*w**5 + 1120*w**4 - 66265*w**3 + 466130*w**2 - 272880*w - 806400 = 0. -1, 2, 7, 96, 120 Find d such that 35*d**4 + 65518*d**3/3 + 2979484*d**2 - 137270760*d + 2613600 = 0. -330, 2/105, 36 Find g such that -2*g**4/5 + 9340*g**3 - 56807250*g*
{ "pile_set_name": "DM Mathematics" }
itive. v**(33637/11) Simplify (x**(-2)/(x*x**(-2/25)*x*x)*(x*(x/(x*x*x/(x*x**(-1/4))*x))/x)**(5/4))/((x**(1/4)*x**(-4))/(x**(-6/11)/(x*x/(x*x**(-2/5))))) assuming x is positive. x**(-26083/4400) Simplify (z**0)**(-2/23)*z**(1/2)*((z/z**0)/z*z)/z*z*(z*((z/(z**(-2)/z))/z)/z*(z**(-2/3)/z)/z)**(-4/17) assuming z is positive. z**(145/102) Simplify ((o/(o*o**(-5)*o))/o**(-1/6))**(2/57)*((o**0)**(14/3))**(12/11) assuming o is positive. o**(25/171) Simplify c**35*c*c/(c*c**(-2/11))*(c*c**(2/63))**(3/2) assuming c is positive. c**(17431/462) Simplify ((j**(2/7))**(-12/13))**29*(((j**(5/2)/j)/j)/j)/j**(2/5)*(j/j**6)/(j/(j/(j*j*j**5))*j*j) assuming j is positive. j**(-20519/910) Simplify (((p**0)**(-21)*(p**0)**(-2/51))**46)**22 assuming p is positive. 1 Simplify (((v*v*v**(-3/2))/(v*(v/((v**(1/6)*v)/v*v))/v))/(v**(-2/9)*v**5*v))/((v**(-8)/v)/v**8*(v*v/v**(-4))/(v/v**(1/8))) assuming v is positive. v**(487/72) Simplify (((u**(-9)*u**(-8/7))/(u**(1/2))**(-6/17))**14)**(-2/61) assuming u is positive. u**(4744/1037) Simplify ((p**31)**(-1/54)*(p**(-1/6)*p)**(-36))**(2/31) assuming p is positive. p**(-1651/837) Simplify (z**0)**18/(z**0*z**(1/3))*(z**(-3/5)*(z/z**(-5/2))/z)**(-2) assuming z is positive. z**(-62/15) Simplify ((q**(-29)/q**(2/71))/((q*q**(7/4)*q)/q*q)**(1/2))**(4/13) assuming q is positive. q**(-17553/1846) Simplify ((((i/(i*i*i*i**(-1/14)*i*i*i))/i)/i)/i*(i**9/i)/i)**(-8)*((i/(i*i**(-2/25)))/i**(2/9))**(-7/9) assuming i is positive. i**(106868/14175) Simplify (t**9*t*t*t*t*t/t**(3/11)*((t**(2/3)/t)/t)**0)**(-1/5) assuming t is positive. t**(-151/55) Simplify (k*k/(k/k**(2/11)*k)*k*k**(2/21))/((k/(k*k**(-3)*k)*k)/k**(1/14))*(k*k/(k/k**(2/3)*k*k))**(1/27)*k*k**(-2)/k*k**(2/19) assuming k is positive. k**(-120487/33858) Simplify ((((y**(1/2)/y)**(-1/67))**(-38))**(-3/5))**(2/23) assuming y is positive. y**(114/7705) Simplify ((d**0*d)**23)**9*((d*d**(7/5))/d**4)**(-9) assuming d is positive. d**(1107/5) Simplify (v/v**(-31)*v*v)**(-1/8)/(v/(v*v/v**35)*(v**(-1/34)/v)/v*v) assuming v is positive. v**(-2531/68) Simplify ((q/q**(4/7)*q/q**5)/(q**(2/3)*q)**(2/67))/((q*q**(2/5)/q*q*q**(-2/3))/((q/(q*q**1))/q**0)) assuming q is positive. q**(-37669/7035) Simplify (w*w**(-1/2)*w*w)**(13/5)*(w/(w**(-2/5)/w))/(w/(((w*w*w**(2/9))/w)/w))*(w/(w/w**14*w)*w**(1/2))**40 assuming w is positive. w**(49331/90) Simplify (((n*n**5/n*n*n*n**(-2/3)/n)**(-2/29))**15)**(-1/3) assuming n is positive. n**(160/87) Simplify ((j**0)**32)**(-42)/((j**(-1/2)*j)**(-2/45)*(j**(-3)/j)/j**8) assuming j is positive. j**(541/45) Simplify ((m**(14/9)*m*m*(m**(5/2)*m)/m*m*m)/(m/m**(-3/2))**(-1/16))**(-48) assuming m is positive. m**(-2365/6) Simplify ((w*w/w**(-2/7))**(-2/97)*(w/(w**(-2/7)/w)*w)/w**(-3/5))/(w**7*w**(-1/10)*(w*(w/(w**(2/7)/w))/w)**22) assuming w is positive. w**(-276867/6790) Simplify ((n*n**(-29))/n**6)/(n**(-4/3)/(n/((n*(((n**(-4/5)/n)/n)/n*n)/n*n)/n))) assuming n is positive. n**(-433/15) Simplify (q**(5/2)/q**4*((q*q*q**(-2/19))/q*q)/(q/q**6))/((q/(q**(-2/11)/q))/(((q**4/q)/q)/q)*(q**(-6)/q*q*q)/q*q*q**(1/14)) assuming q is positive. q**(13374/1463) Simplify ((o*(o*o**(-12/13)*o*o)/o*o*o/(o*o*o**(-10)*o)*o)/(o**(-26))**9)**(5/4) assuming o is positive. o**(15995/52) Simplify ((d**(-1/31)/d**39)/(d/(d/d**20)*d*(d*d**21)/d))**(-2/15) assuming d is positive. d**(5024/465) Simplify ((a/(a**1*a*a*a*a))**(38/3)*(a**(-2/5))**(-34))/((a/(a/(a**1/a)))**(2/5)/(a**(2/9)*a/a**3)) assuming a is positive. a**(-1748/45) Simplify (q/(q/(q**(-7)/q)))/(q*q**0)*q/(q/q**1)*q**3*q*q*((q**(-8)/q)/(q/q**(5/4)))/(q**2/q*q*q)**(3/46) assuming q is positive. q**(-1099/92) Simplify (((x**(-28)/x**29)**(-32))**(-1/20))**50 assuming x is positive. x**(-4560) Simplify (((n/(n*(n/(n/(n/(n/(n*n**41)))))/n))/n*(n*n*n**(-17))/n)/(n**(2/13)*n*n**(-33/2)))**(-49) assuming n is positive. n**(54341/26) Simplify (((k**8/k)/(k*k/((k/(k**(-3)*k*k))/k))*(k/(k/k**7))/((((k**(-1/5)*k)/k)/k)/k*k))**(1/17))**(-8) assuming k is positive. k**(-568/85) Simplify (((((o*(o*o**1*o*o)/o)/o)**(14/3))**(-1/4))**(-4/19))**(-41) assuming o is positive. o**(-574/19) Simplify (((m**8*m)/m*m)/((m*m/m**(-10))/m))**(16/5)/(m**(-1/7)*m/(m/m**(4/7))*m**(-1/6)/(m*m/m**(1/14))) assuming m is positive. m**(-71/15) Simplify (o/o**(1/6)*o**(-3)*o**(2/5)/(o**(2/11)*o*o*o))/(((o/o**(-1/7))/(o/((o*o*o/(o*(o**6*o*o)/o))/o)))/(o**(-4)/o*o*o/(o**5*o)*o)) assuming o is positive. o**(-16381/2310) Simplify ((((l/(l**(-7)/l)*l)/l)/(l*l**(2/3))*l*l/l**(3/7)*l*l*l/(l**(4/3)/l))**(4/7))**(13/7) assuming l is positive. l**(4212/343) Simplify (b**(-1/3))**32/(b/(b**(-2/9)/b)*b*b**(-1)*b)*(b**(-1/3)*b*b**0)**(8/9) assuming b is positive. b**(-359/27) Simplify (c*((c*c*c**(-4/5)*c)/c)/c*c**21*(c*c**22)/c*c/(c**(4/19)*c))**(-39) assuming c is positive. c**(-162981/95) Simplify (l**(-2/7)/(l**0*l)*(l**(1/2))**31)/((l**(1/5)/l**(-4))/(l**3*l**(1/2)/l)) assuming l is positive. l**(438/35) Simplify (q**(-12)*q*q**(-2/19))**(8/3)/((q*q/q**(-9))/q**4*(q**(2/7)*q)/q**(-2/11)) assuming q is positive. q**(-167140/4389) Simplify ((((k**0*k)/k)/(k*(k*k**(-1))/k))/(k**(-5)/(k*k**2)))/(((k*k**(1/3)/k*k)/(k**2*k))/((k/(k/(k**(-4)*k)))/k*k*k*k*k**(-2/3)*k*k)) assuming k is positive. k**10 Simplify (z/z**(2/11))/z**(-4/5)*z**(-1/5)/z*z*z**(-1)*z*(z**(-1))**(3/4)*(z**0)**(13/5) assuming z is positive. z**(147/220) Simplify (g**(-2/5))**21*(g**2)**(-10/7)*(g/(g/((g*g**(-7/6)*g)/g))*g/(g**(-12)/g))**(2/85) assuming g is positive. g**(-19513/1785) Simplify j**(-3/4)*j/j**8*j**(1/5)*j*j*(j*j*((j**2*j*j)/j)/j)/j*(j**(-2/3)/j)**2*j**(1/2)*j/j**(2/9) assuming j is positive. j**(-829/180) Simplify (h**2/h**8)/((((h**(-3/5)*h)/h*h)/h)/(h/(h/((h/(h/(h*(h**(-2/9)/h)/h)))/h))))*(h**(1/3)*h*h**(-4/5)*h)/(h**0/(h**(-2/3)*h)) assuming h is positive. h**(-259/45) Simplify ((t**(2/7)/t)**(-11)/(t**0/((t**(-3/4)/t)/t)))/(((t*t**(2/11))/(t*t*(t**0*t)/t))/(t**0*t**(-1/5)/t)) assuming t is positive. t**(7277/1540) Simplify f**(-2/39)/f*f/((f**(-7/5)*f)/f)*(f*(f/f**37)/f)/f*f*f*f/(f*f/(f*((f*f**24/f*f*f)/f*f)/f)) assuming f is positive. f**(-1687/195) Simplify (b**0)**(-1/24)/(b*b*b**(-1/5)*b**2)*((b/(b*b*b/(b**6*b)*b))/(((b*b*b*b**(2/11)/b*b*b)/b)/b))**(-9/4) assuming b is positive. b**(-434/55) Simplify ((((y**(-9)/y)/(y/(y*y**13)))**(33/5))**33)**(-2) assuming y is positive. y**(-6534/5) Simplify (p/(p*p**(-1)))/((p*p**2*p)/p)*(p**0)**34*((p*p**(-2/19)*p)/((p/(p*p**(-7)/p*p))/p))**17 assuming p is positive. p**(-1364/19) Simplify ((s*(s**(-2)/s)/s)/(s*(s*s/(s*s**(-5)/s))/s*s))**(-5/2)*((s*s**1)/s)**(-20)/(s**(3/5)/s**(-5)) assuming s is positive. s**(19/10) Simplify (s**(-19)*s)/(s*s*s**(2/21)*s)*s*s/((s*s/(s**(-20)/s*s*s))/s)*s/(s**8*s) assuming s is positive. s**(-989/21) Simplify ((w/(w*w*w*w**(1/4)))**18)**(-15)*(w**(1/2))**23/(w**1)**36 assuming w is positive. w**583 Simplify (a**(1/5)/a**(3/4)*(a/(a*a**(-6/5)*a))/a**(11/3))**(-11) assuming a is positive. a**(2651/60) Simplify (d**(1/3)*d/(((d/(d/(d**(-3)*d)))/d)/d)*d/(d*d/((d/(((d**1/d)/d)/d))/d))*d**2)**(-1/7) assuming d is positive. d**(-25/21) Simplify (((f**(-7))**(-16/7))**(4/7))**(-2/37) assuming f is positive. f**(-128/259) Simplify ((w**(-5)*w)/w**(-1/3)*(w**(-1))**(-4/11))/((w**(-3)*w**(-3))/(w**(-1))**(-17)) assuming w is positive. w**(650/33) Simplify (a/a**(-19/2)*a*a**(-2/67)*a**(-2/7)*a/a**21)**38 assuming a is positive. a**(-157111/469) Simplify ((x/x**1)**(-1/14))**(3/10)*x**(-1)*(x/x**1*x)/x*x*x/((x*(((x*x*x**6)/x)/x)/x)/x)*(x**(3/8)*x)/x assuming x is positive. x**(-29/8) Simplify (x/(x**(-26)*x*x))/(x*x*x**(-1/48))*x**(-34)/x*x**(-1/30) assuming x is positive. x**(-961/80) Simplify ((((d**2/d)/d)/d)/(d*d**(-3)))**(-6/19)/(d/(d/(d/(d**(-3)/d)))*d*d*d/d**(-1)*(d*d*d**1)**48) assuming d is positive. d**(-2913/19) Simplify (t**(1/3)*t)/t*t**5*(t/((t/(t**(-1/3)/t))/t))/t**(-1)*t**(-3/5)/(t*t**(2/13)*t)*(t*t**(1/3))**22 assuming t is positive. t**(6353/195) Simplify ((b**(-3)*b*b/b**(-2/9))/((b/(b**(2/7)*b))/b)**(-11))**22 assuming b is positive. b**(-20680/63) Simplify (c**(-1/2)/(c/(c*(c/(c**(-1/7)/c))/c*c)*c)*(c/c**(2/9))**12)/(c**10*c*c*c**(-3)/c*c)**35 assuming c is positive. c**(-12811/42) Simplify (s/(s*s/(s/s**(-2)*s)))**(-10/9)*s*s*s**(-2/7)*s*s*s**9*(s/s**(3/5)*s*s**2*s*s)**(-1/5) assuming s is positiv
{ "pile_set_name": "DM Mathematics" }
8988849050. Let w = 899730 + p. Let s = w - 42. What is s rounded to three dps? -0.006 Let r = 41.9 - 220.9. Let j = 13780873038 - 13780872859.00000154. Let v = r + j. What is v rounded to seven dps? -0.0000015 Let z(m) = 2*m - 9. Let y be z(9). Let d = y - 3. Let c(p) = 55000*p. Let h be c(d). Round h to the nearest 100000. 300000 Let f = -0.95606 - -0.956. What is f rounded to 6 decimal places? -0.00006 Let g = -0.0262 + 0.1184. What is g rounded to three decimal places? 0.092 Let w = -92 - -99. Let r be (w + -1 - -21994)*20*-35. What is r rounded to the nearest one million? -15000000 Let c = 5.8 + -5.758. Let i = c - 0.04199908. Round i to six dps. 0.000001 Let k(m) = -m + 3783853. Suppose -5*v + 2*q = -2*q, 0 = 4*v - 4*q. Let a be k(v). Suppose 5*s - a = 2216147. Round s to the nearest one hundred thousand. 1200000 Let f = -0.8558 - -0.909. Round f to 2 decimal places. 0.05 Let f = 21.50000786 - 21.5. Round f to seven decimal places. 0.0000079 Let n = -202 + 266.8. Let f = n - 47. Let p = f - 17.800182. What is p rounded to 5 dps? -0.00018 Let a(z) = -8*z + 7*z - 173000*z**2 - 6 - 2*z. Let p be a(-2). What is p rounded to the nearest 10000? -690000 Let z = 19 - 18.74. Let g = z - 0.259903. What is g rounded to five dps? 0.0001 Let a(i) = 420*i**2 + 20*i - 20. Let j be a(12). What is j rounded to the nearest 10000? 60000 Let u = -82 + 40. Let f = u + 30. Let m = f + 11.9999932. What is m rounded to 6 decimal places? -0.000007 Let c = 3 - 3.00000051. What is c rounded to seven decimal places? -0.0000005 Suppose 0 = -b + r - 5, -2*b - 2*r - 10 = -3*r. Let x(j) = j**2 + 4*j - 3. Let o be x(b). Suppose -14480 = -o*v + 6*v. What is v rounded to the nearest 100? -3600 Let i = 926095 - 466014. Let b = 1139919 + i. Round b to the nearest 1000000. 2000000 Let k = -1897.012 - -1899. What is k rounded to one decimal place? 2 Suppose 2 = -3*n + 2. Suppose 3*w + 2*f + f = -2760015, -4*w - 2*f - 3680010 = n. What is w rounded to the nearest one hundred thousand? -900000 Let i be (-1 + 835)*5/(-3). Round i to the nearest 100. -1400 Let y = -1.2 - -182.2. Let r = y - 181.00133. Round r to four decimal places. -0.0013 Let t = 28.4 - 28.726. What is t rounded to 2 decimal places? -0.33 Let n = 0.074 + -0.224. Let a = n - -0.149999784. What is a rounded to seven decimal places? -0.0000002 Let k = -34.3 + 52. Let m = 19.56 - k. What is m rounded to 1 dp? 1.9 Let r = -12114 - -12032.735. Let x = -81 - r. Round x to 2 decimal places. 0.27 Let t = -11.0088 + -0.0412. Let z = 11 + t. Let b = z - -0.7. What is b rounded to 1 decimal place? 0.7 Let a(k) = -1861*k**3 + k**2 + k - 1. Suppose f - 5 = -4*f. Let j be a(f). What is j rounded to the nearest one hundred? -1900 Let p(f) = 5*f**2 + 1. Suppose -7*r + 8*r - 3 = 0. Let s be p(r). Round s to the nearest ten. 50 Let b = 12400418 - 1700418. What is b rounded to the nearest 1000000? 11000000 Suppose -3*l - 3*k + 7426113 = -0*k, l + 2*k - 2475372 = 0. Suppose l = 6*h - 6404630. Suppose 2*o = -2*o + h. What is o rounded to the nearest 100000? 400000 Suppose -4*o + v = -18800000, 2*o - 4*v - 9400000 = -0*o. What is o rounded to the nearest 100000? 4700000 Let j(k) = 2*k**2 + 3*k - 6. Let r be j(5). Suppose -f - 6*w + 2*w + r = 0, 0 = -3*w - 12. Let t be (-600)/(5/(f/2)). Round t to the nearest one thousand. -5000 Let n = 8279712 + 4502283. Let s = 21939234 - n. Suppose 0 = b + s - 2157239. What is b rounded to the nearest one million? -7000000 Let v = 31.57175 + -34.54. Let c = v + 4.8688. Let d = -1.9 + c. Round d to four dps. 0.0006 Let u = -118 + 70. Let w = u + 48.00035. Round w to five dps. 0.00035 Let r = -0.099 - 30.301. Let a = r + 27. What is a rounded to the nearest integer? -3 Let z = 0.16 - -12.84. Let x = z - 13. Let g = 0.055 + x. What is g rounded to 2 dps? 0.06 Let f = -443 - -1385. Let z = f + -942.00000853. What is z rounded to six dps? -0.000009 Let u = -22.959 - 0.041. Let b = u - -22.98. Round b to 1 decimal place. 0 Let x = 216 + -57. Let j = x + -158.9754. Round j to three dps. 0.025 Let v = -11 + 14. Let k = v - -2. Suppose -3 = -a - g, 0*a + k*a + 4*g - 20 = 0. Round a to the nearest 10. 10 Let f = -57.259995533 - -57.26. What is f rounded to 6 dps? 0.000004 Let d = 3.2 + -3.2. Let t = -0.2 + d. Let l = t + 0.199992. What is l rounded to six dps? -0.000008 Let g = 74 + -82. Let y = g + 7.999963. Round y to five decimal places. -0.00004 Let h = -60 + 37. Let c = -23.3 - h. Let s = c + 0.23. Round s to two decimal places. -0.07 Let i(d) = 9*d**3 - 3*d**2 + 4*d - 4. Let p be i(2). Suppose -3*q + 2*g = -6*q + 92, -2*g + p = 2*q. Round q to the nearest 10. 30 Suppose 0 = 5*w - 20, 0*r + 2*w - 78 = 2*r. Let b = r + -15. Round b to the nearest 10. -50 Let i = -23 - -28. Let u be 4 + (-4*9005)/i. What is u rounded to the nearest one thousand? -7000 Let a = 38 + -30. Let w(d) = 5242*d**3 + 3*d**2 + 4*d + 4. Let x be w(a). Suppose c = -1415868 - x. What is c rounded to the nearest 1000000? -4000000 Let u = -40079.0640077 + 40079. Let d = 0.14 - 0.204. Let s = u - d. Round s to six dps. -0.000008 Let k = -0.0152904 + 0.0155. What is k rounded to 5 dps? 0.00021 Let v = 22 + -19. Let z be v + (1 - (150006 + -2)). Round z to the nearest one hundred thousand. -200000 Let l(k) = k**2 - 11*k + 12. Let s be l(10). Suppose -z = -4 + s. Suppose -920 = -4*y + z*y. Round y to the nearest one hundred. 500 Let z = 19.9 - 19.900000632. Round z to seven dps. -0.0000006 Let d = 26 + -133. Let i = d - -106.99999496. Round i to 7 decimal places. -0.000005 Let b = 6684314.96517424 + 0.03482576. Let a = b + -6684320.999966. Let p = a + 6. What is p rounded to five dps? 0.00003 Let s = 247 + -248.152. Let k = s + 1.15199359. What is k rounded to six dps? -0.000006 Let j = 524 - 12671. Round j to the nearest one thousand. -12000 Let o = -2.5486 - -2.75. What is o rounded to two dps? 0.2 Let u = -0.011 + -0.579. Let z = u + 0.59000281. Round z to 7 dps. 0.0000028 Let g = 0.095 - 0.091865. What is g rounded to 3 decimal places? 0.003 Let c = -1113 - 2337. Let u = c - -4988. Suppose 2*i - u = 22. What is i rounded to the nearest 100? 800 Let b = 0.02827 + -0.0134. Round b to three decimal places. 0.015 Let f be 11 + (-3 - 6/(-1)). Let s = f + -12. Suppose 0*j - s = -2*j. What is j rounded to 0 dps? 1 Let t = -1087.008 + 1184. Let x = 97 - t. Round x to 2 decimal places. 0.01 Let u = -36.40000718 + 36.4. What is u rounded to 6 dps? -0.000007 Let h = -24.4 - -69.6. Let i = h - 45.29824. Let j = -0.1 - i. What is j rounded to 4 dps? -0.0018 Let y = -885701845.69999953 - -885701839. Let x = 8.1 - 1.4. Let z = x + y. Round z to seven dps. 0.0000005 Let t = -2.7 + 4.9. Let z = -1.1 - t. Let h = z - -3.299945. Round h to five dps. -0.00006 Let f = 1.846 - 2.37. Let g = 1.12 + f. Round g to one dp. 0.6 Let o = 99.8 - 91. What is o rounded to 0 decimal places? 9 Suppose 3*b - 38081 = -5*h + 156399, 0 = 2*b. Suppose 10*q - h = -3896. What is q rounded to the nearest one thousand? 4000 Let f = -22 + -17. Let i = -20 - f. Let p = 19.135 - i. What is p rounded to 2 dps? 0.14 Let y(r) = 188*r**2 + 56*r - 20. Let x be y(8). What is x rounded to the nearest 100? 12500 Let k = 7 - 46. Let a = -39.00045 - k. What is a rounded to four decimal places? -0.0005 Let p = -0.018726 - 7.982974. Let n = p + 8. Round n to three dps. -0.002 Let i(f) = 8997*f + 7. Let n(o) = 8998*o + 6. Let z(r) = 3*i(r) - 4*n(r). Let j be z(-3). What is j rounded to the nearest ten thousand? 30000 Let l = 2.604 - 0.004. Let t = -2.6432 + l. Round t to three dps. -0.043 Let t = 5238.2919 + -5238. Round t to 2 dps. 0.29 Let d be -15 + (0 - (4 - 5)). Let t be 4/d - (6 + 13551824/28). Round t to the nearest ten thousand. -480000 Let f = -0.137 + -2.273. What is f rounded to 1 decimal place? -2.4 Let v = -2674 + 2674.00003857. What is v rounded to five decimal places? 0.00004 Let p = 0.103 + -0.224. Let w = p + 0.120456. Round w to 4 dps. -0.0005 Let b = 196 + 14. Let y = b + -209.99999818. Round y to seven dps. 0.0000018 Let z = 33 - 125. Let j = z + 136. Let c = 44.00021 - j. Round c to 4 dps. 0.0002 Let m = -0.047 + 29.047. Let a = 29.1 - m. Let l = 0.1001 - a. What is l rounded to five dps? 0.0001 Let c = -84 - -84.552. Let b = 0.5520267 - c. What is b rounded to 5 dps?
{ "pile_set_name": "DM Mathematics" }
871.113 Sum 4539 and 385.42855. 4924.42855 What is -48.515989 take away -2.2? -46.315989 -51637201 + -20.8 -51637221.8 What is -8686781.1 take away -94? -8686687.1 507168637 + -31 507168606 What is -2071.2 plus -0.00077? -2071.20077 Calculate 6 + 1875.71407. 1881.71407 What is 3717697 - -0.1? 3717697.1 28222174+-0.096 28222173.904 Put together -1063 and 203849. 202786 Calculate 8976079179 + -0.5. 8976079178.5 What is -18957 - 0.13794? -18957.13794 What is -768418007.5 less than 5? 768418012.5 What is 12503 minus -1356? 13859 Work out 3163 - 15.80572. 3147.19428 Sum 23.7 and -2.5168849. 21.1831151 What is the distance between -47.131578 and 0.04? 47.171578 Calculate -27138 + -261.5. -27399.5 0.0139+4979 4979.0139 What is the difference between 1.1 and -97965664.2? 97965665.3 Calculate -1245585283 - -0.4. -1245585282.6 Calculate -0.4 + -5029177.591. -5029177.991 What is 301733 less than 167? -301566 What is -5 - 9898699? -9898704 What is -0.2 + -54.95437? -55.15437 What is -4801 plus -58137? -62938 What is -0.017 plus -885615? -885615.017 Calculate 26.9 + 16316150. 16316176.9 Put together -31069257.4 and 0.04. -31069257.36 Calculate 17669093617 - -5. 17669093622 What is -72995078 less than 0.22? 72995078.22 Work out 0.04186 - -3950.9. 3950.94186 What is the distance between -544.6 and 4.79153? 549.39153 What is 2.9 + -29015538? -29015535.1 Total of 697751171 and -1. 697751170 Add 4320171 and 133. 4320304 Work out -11748921 + 1.1. -11748919.9 Calculate -1124 - -142.3. -981.7 Work out 14994 + -2125.4. 12868.6 Work out -432 - 156649. -157081 465 - 276671 -276206 What is 12452 less than 4697442? 4684990 Subtract -141 from -57.793. 83.207 Calculate -3.53673 + 3.373. -0.16373 Add together 24781597 and 0.14. 24781597.14 What is 8737 minus -419? 9156 Sum -11789477178 and 5. -11789477173 What is 31346 plus 5610? 36956 What is -53876 - -62697? 8821 What is the difference between -141 and -126.692? 14.308 Calculate -291874 - 1.22. -291875.22 Add together 88.61 and 13.5. 102.11 What is the difference between -4576.725 and 6? 4582.725 Subtract 145570198 from 0.578. -145570197.422 Sum 10 and 2073494. 2073504 Add together -75440867818 and 4. -75440867814 Calculate 40103.9661 - 0.2. 40103.7661 Total of -2804 and 2781.755. -22.245 Calculate -41.1 + -174405. -174446.1 Work out 18016 - 0.3741627. 18015.6258373 What is 1201318 take away 20? 1201298 Subtract 21100784.5 from -5. -21100789.5 Calculate 878624.2417 + 7. 878631.2417 What is the difference between 0 and 17284.272? 17284.272 Sum 0.4 and -15587598. -15587597.6 Calculate -4.48 - -43353. 43348.52 What is the difference between -489 and -51516.5? 51027.5 Subtract -3.554 from -40.01. -36.456 216996134 - 26 216996108 Put together -85455072.6 and 2. -85455070.6 Subtract -3 from -24279524. -24279521 What is -36012.7 less than -18537? 17475.7 Work out 35.167 - -15641. 15676.167 Work out 0.0243659 + 59864. 59864.0243659 7130628+-0.1 7130627.9 What is 0.1 - 137973191? -137973190.9 What is -130701 - 0.549? -130701.549 Subtract 19 from 163814316. 163814297 What is -12 take away -59.228692? 47.228692 Work out -55925 - -0.017. -55924.983 What is 0.2 + 45993187? 45993187.2 Calculate -0.507 + -8065.826. -8066.333 Add together -236 and 28.0413. -207.9587 -1631.9 - -0.0876545 -1631.8123455 Work out -646 - 6488. -7134 Add 27908 and 63.404. 27971.404 Calculate -30719 - 155598. -186317 What is -171 plus -0.5789796? -171.5789796 Add -113.3367 and 0.145. -113.1917 Calculate 21.569 - 0.1586. 21.4104 What is 1040348 minus -40? 1040388 Add 265633 and -0.40744. 265632.59256 What is 0.05873 plus -253.19? -253.13127 71654+-8120 63534 Calculate 4.581207 - 5. -0.418793 What is 92.7 take away 1880? -1787.3 Total of -0.2 and -62.26637. -62.46637 What is -17 - -66.800959? 49.800959 What is 1615373 less than -87? -1615460 Work out -0.1 + 77397036. 77397035.9 -35 + -6.05968328 -41.05968328 What is the difference between 0.212 and -11.112914? 11.324914 Add -41184499.89 and -7. -41184506.89 What is 0.03 - -2194110010? 2194110010.03 Add together -0.2 and -604152.19. -604152.39 What is the difference between 0.1 and -107310997? 107310997.1 What is -21.1 take away 2375518? -2375539.1 Calculate 85 - -201161538. 201161623 What is 11031 take away 195181? -184150 Add together 1337487 and 781. 1338268 Put together 0.0343 and -2.02209. -1.98779 What is -0.276 less than 4523227? 4523227.276 Work out -1 - -0.5389566843. -0.4610433157 Sum -3 and -28813.8548. -28816.8548 What is -1020960773 + 0.2? -1020960772.8 Work out -2214 - -61.5. -2152.5 What is -0.6 + -11963568? -11963568.6 Put together 0.3 and -198273679. -198273678.7 Calculate 124795.1 - -2033. 126828.1 Add together 17 and 54102917. 54102934 5034.8255 - 1 5033.8255 What is 27555444562 - 0.2? 27555444561.8 Put together 0.3 and -2628.92518. -2628.62518 Calculate -5716873 - 2. -5716875 What is 3 minus 4520950? -4520947 Calculate -1295497 - 0.59. -1295497.59 Add together 884 and 12122216. 12123100 Work out -534782.142 - -0.5. -534781.642 What is 2446 + -36661? -34215 What is the difference between 0.8327447 and 0.09? 0.7427447 Work out 1479615 + -0.065. 1479614.935 Add -0.7713 and -433819. -433819.7713 What is -2462 minus 7197? -9659 Subtract -326.4 from -2988164. -2987837.6 Total of 0.9 and -112969.6402. -112968.7402 What is the difference between -1773 and 0.08388? 1773.08388 What is the difference between -3 and -771.7895? 768.7895 Total of -137 and 6256802. 6256665 Subtract -300 from 173813. 174113 What is -2850 less than 2728.2116? 5578.2116 What is the difference between 21138 and 0.0120505? 21137.9879495 Add -29088242 and 11.65. -29088230.35 What is 0.068 plus 5.3750073? 5.4430073 What is the difference between -50.68 and -60391.82? 60341.14 3 - -5.096079189 8.096079189 Put together 16 and -10523.85. -10507.85 What is -0.15401 plus -1346193? -1346193.15401 What is -0.4 minus 667514018? -667514018.4 -22398.79+4287 -18111.79 Total of 0.6004 and 0.1447776. 0.7451776 Work out 0.418632241 - -0.4. 0.818632241 What is 2.1 - 1392682? -1392679.9 What is the difference between -144206.3 and -8? 144198.3 Add -10 and 20642930. 20642920 Calculate -0.9309 + 176559. 176558.0691 Total of -279936 and 1128. -278808 Add together -81022 and 4567. -76455 What is -46 less than 26122? 26168 Calculate -112.3487 + 527.6. 415.2513 Sum -4220049675 and 0.2. -4220049674.8 Add together 0.8 and 133277389. 133277389.8 Add 3.3261 and 0.8958. 4.2219 858815294 + -0.5 858815293.5 Sum -5 and 12.400028. 7.400028 Calculate -9892935070 - -0.4. -9892935069.6 Sum -0.4 and 187.80484. 187.40484 What is 1568930952 take away 0.2? 1568930951.8 Total of 86 and -7836547. -7836461 What is the difference between 346.6 and 0.0173527? 346.5826473 -1817 + 7.46919 -1809.53081 What is 112685 - 5834? 106851 What is 1.9 + -1693416? -1693414.1 -79 + -1898.707 -1977.707 226.6316394+3 229.6316394 Add -130838421 and -0.055. -130838421.055 What is 12553194 + -0.014? 12553193.986 What is -0.14726 plus -8106? -8106.14726 Work out 53310 + -665. 52645 Calculate -0.4 - -73410300. 73410299.6 Total of -53 and 7510.738. 7457.738 What is 37 less than 0.0786453? -36.9213547 Add together -73601 and 4226. -69375 Calculate 11282 + 0.875. 11282.875 Work out 30026 + 30.57. 30056.57 What is 4529031.669 less than -0.3? -4529031.969 Add together 12268771.389 and 0.5. 12268771.889 What is -15070 + -0.4142238? -15070.4142238 What is 6793 less than 161005? 154212 Total of 104 and -164618. -164514 Put together -13839953418 and 4. -13839953414 82330 - 1.52 82328.48 Work out 0.0006465 - 0.15. -0.1493535 What is 1.6917 minus 150.55? -148.8583 Calculate 153 - -2047929. 2048082 What is the distance between 0.12 and 506866.38? 506866.26 Sum 1.4 and 286160. 286161.4 0.007 - 462965.71 -462965.703 Work out 2.57095839 - 21. -18.42904161 Subtract -5.5 from -27315253. -27315247.5 Add -9.34228 and 0.3. -9.04228 Work out 475165 + -0.225. 475164.775 What is the distance between -803578908 and -0.4? 803578907.6 Calculate -0.0998464 - -75. 74.9001536 What is 877418788 minus 1? 877418787 What is 0.082 take away 10356.45? -10356.368 What is 8369.88 - -12034? 20403.88 -0.227+-2048.2071 -2048.4341 Add -30.793 and 0.03391. -30.75909 628+3283442 3284070 Work out -0.11 - -2522.053. 2521.943 0.18745
{ "pile_set_name": "DM Mathematics" }
t) = -t**2 - 6*t - 1. Let k = -42 + 76. Suppose -2*m = 4*v + 26, -5*m = 3*v + 10 + k. Determine b(m). -8 Let k(f) = -2*f + 12. Let l(v) = v - 8. Let d(a) = -5*k(a) - 8*l(a). Let z = -37 - -32. Let w be 6/3 + 35/z. Give d(w). -6 Let o(r) = -3*r + 9. Let q(f) be the second derivative of 0 - 19/2*f**2 - 10*f + 7/6*f**3. Let s(i) = -5*o(i) - 2*q(i). Give s(6). -1 Let k(r) = -r. Let t = -14 + 16. Suppose 3*q - q - t = 0, -249 = -5*j - 4*q. Let g be 6/14 + 224/j. Determine k(g). -5 Let g(d) = -112*d + d**3 + 129*d - 16*d - 6*d**2 - 10. What is g(6)? -4 Let x(v) = -v**2 - 5*v - 5. Let c = 100 - 96. Suppose -c*l = 5*m + 20, 3*l - 4*m + 15 = -2*m. Determine x(l). -5 Suppose 53 = 6*j + 11. Suppose 0 = -2*z - 5*y - 23, -2*z - 4*y + 17 = -j*y. Let l(n) = -11*n**2 + 1. Determine l(z). -10 Let i(c) = -13*c + 6. Let j(b) = -13*b + 5. Let r(f) = -4*i(f) + 3*j(f). Let h(y) = 6*y - 4. Let m(q) = -5*h(q) + 2*r(q). Determine m(2). -6 Let x(f) = f + 1. Let o be (-3)/24*-4*-2. Let s(y) = -4*y - 7. Let g(z) = o*s(z) - 3*x(z). Calculate g(-5). -1 Let a(n) = n**3 - n + 6. Let o = -21 - -25. Suppose o*m - m = -4*r - 20, 0 = -2*m - 2*r - 10. Determine a(m). 6 Let r(a) = a**2 - 3*a + 5. Suppose x + 5 = 11. Calculate r(x). 23 Let s(n) = 188 - 192 - 98*n + 101*n. What is s(2)? 2 Let k(y) = -3*y**2 - 25*y + 19. Let u = 1 + -3. Let j(r) = -r**2 - 12*r + 9. Let v(g) = u*k(g) + 5*j(g). Give v(6). -17 Let x(s) = s**3 + 5*s**2 - 6*s - 7. Let n = -12 - -18. Suppose -4*g - 5*d + 16 = 0, -3*g + n*d + 12 = 2*d. Suppose -g*k = k + 30. What is x(k)? -7 Let n be 828/(36/6) + (1 - -3). Let l = 146 - n. Let k(b) = -b**2 + 6*b - 5. What is k(l)? 3 Let k(q) be the second derivative of q**8/6720 - q**7/840 + q**6/180 - q**5/30 - 7*q**4/4 - 13*q. Let z(w) be the third derivative of k(w). Determine z(3). 8 Let x(s) = 2*s + 21. Let u be (6/(-10) - (-648)/(-120)) + -2. What is x(u)? 5 Let l = 782 - 780. Let t(r) = -4*r**3 - 2*r**2 - 1. Calculate t(l). -41 Suppose 9 = -3*b, -4*b - 24 = -4*q + 44. Let c(r) = 4*r**2 - 5*r**2 + q - 23 - 3*r + 10*r. Calculate c(6). -3 Let u(k) = 2*k**2 + 8*k - 4. Let r(j) = -j**2 - 7*j + 3. Let d(z) = 3*r(z) + 2*u(z). Let i(w) = 5*w - 29. Let v be i(7). What is d(v)? 7 Let r(w) be the second derivative of -3*w**4/4 + w**3/6 - 83*w - 1. Determine r(1). -8 Suppose -8*m = -11 + 3. Let c(t) = -2*t**2 - 2*t - 6. Let b(w) = w + 1. Let v(d) = m*c(d) + 5*b(d). What is v(2)? -3 Let r(v) = 3*v + 1. Let s be (-32)/(-10) + (-20)/(-25). Suppose -3*j - 7 = s*g, -3*j - 2*j + 2*g = -23. Suppose h = j*h + 10. Determine r(h). -14 Suppose 5*f = 9*f + 2*f - 30. Let g(o) = o - 2. Let m be g(4). Let y(a) = -3*a**2 + 5*a + 1 + 2*a**m + 1. Calculate y(f). 2 Let l(p) = p**3 - 5*p**2 - 4*p + 5. Suppose m - 2*j + 61 = -0*j, -281 = 5*m - 2*j. Let s = -50 - m. What is l(s)? -15 Let x(f) = -106*f**2 + 300*f**2 - 111*f**2 - 99*f**2. Determine x(-1). -16 Suppose 5*g = 6*g - 19. Suppose 4*j + u + 12 = -7, -j - 5*u + g = 0. Let w(t) = t**2 + 5*t - 1. What is w(j)? 5 Let r(f) = f**2 - f - 2. Let c(j) = j**2 - j - 2. Suppose -3*t - 52 = k + k, -4*k + 4*t = 104. Let b = k + 32. Let v(i) = b*c(i) - 5*r(i). Give v(5). 18 Let o(k) = -5*k. Let l(a) = -a - 1. Let u(j) = l(j) - o(j). Calculate u(-5). -21 Let d(y) = -29*y - 29*y - 29*y + 1 + 93*y. Calculate d(-5). -29 Let g(m) = 4*m - 7. Let u(v) = -3*v + 22. Let j be u(4). Calculate g(j). 33 Let j = -5 + 6. Let a(q) = -13*q + j + 5*q + 7*q. Let r(v) = 1. Let i(x) = a(x) - r(x). Calculate i(1). -1 Let j be 1 + -2 + 7 + 268/(-67). Let d(p) = -p - 1. Let i(q) = -6*q - 3. Let x(s) = 2*d(s) - i(s). Determine x(j). 9 Let x = 0 - 0. Let l(b) = -2 + 5*b + x - 4 + 4. Suppose 0 = -23*o + 22*o + 2. Calculate l(o). 8 Let w(b) = b**2 + b - 2. Let u be 12 - 9 - (-2 + 8). Determine w(u). 4 Let b(o) = -o**2 - 7*o + 1. Suppose -13*f + 18*f + 30 = 0. Let m = 0 + f. Determine b(m). 7 Let i(u) = -u - 3. Let r be 1/((-1)/(-6)*3). Let f be 140/(-21) + r/3. What is i(f)? 3 Let f(c) = c - 2. Let w(i) = -3. Let b(l) = f(l) - 4*w(l). Determine b(-5). 5 Suppose 0 = 3*y - 125 + 128. Let x(z) = 3*z**3 - 2*z**2 - 2*z - 1. Give x(y). -4 Let t(p) = -2*p - 15. Let g be t(-12). Suppose -10 = -g*c + 14*c. Let w(l) = l**2 + 2*l + 1. Give w(c). 1 Suppose 0 = -5*x - 5, -25 = 5*z - 4*x - 49. Let j(r) = 9*r - 2. Give j(z). 34 Let i(w) = -2*w**2 + 3*w**2 - 1486*w + 1488*w. Determine i(-2). 0 Let q(t) be the second derivative of t**5/60 + 7*t**4/24 + 7*t**3/6 + 8*t**2 + 31*t. Let b(z) be the first derivative of q(z). Determine b(-5). -3 Let b(l) = -5*l**2 - 2137 + l**3 + 8*l - 3*l**2 + 2135. Let o(j) = -2*j**3 - 2*j**2 - 1. Let w be o(-2). What is b(w)? 5 Let k(b) be the first derivative of 1/3*b**3 - 4*b + 2 + 2*b**2. Suppose 0 + 15 = -3*m. Give k(m). 1 Suppose s + 0*u = 5*u - 22, u - 8 = -s. Let q(b) = 7 - 2*b**2 - b**s + 4*b**2 - b**2 - 2*b**2. Determine q(0). 7 Let w be 6/(-4)*(-4)/(-2). Let b(x) = -6*x - 13. Let o(p) = 5*p + 11 - 12 + 13. Let g(t) = w*b(t) - 4*o(t). Give g(-6). 3 Let o(d) = -d**3 - 12*d**2 - 20*d. Let j be o(-10). Suppose j = -3*i - 5*p + 2 + 20, 0 = -4*i + 4*p - 24. Let n(u) = -2*u + 1. Calculate n(i). 3 Let w be ((-9)/(-2) + -4)*-10. Let y(c) = 4*c + 22. Let m(z) = -z - 7. Suppose 10 = -3*h + 2*h. Let r(n) = h*m(n) - 3*y(n). Determine r(w). 14 Let z(o) = -2*o + 4. Let h(m) = -m**2 - 2*m + 5. Let y be h(-4). Give z(y). 10 Let x(z) be the second derivative of z**6/360 + z**5/120 + z**4/24 + 5*z**3/6 - 6*z. Let i(j) be the second derivative of x(j). Calculate i(-2). 3 Suppose -3*o = 2*u - 19, 1 = o - u - u. Suppose 0 = 2*c - 8, 2*y = -o*c + 7 + 3. Let b(g) = -g**3 - 6*g**2 - 3*g - 1. Give b(y). -11 Let y(b) be the second derivative of b**7/2520 + b**5/40 + b**4/3 - 6*b. Let m(t) be the third derivative of y(t). Give m(0). 3 Let x(v) = -v**2 - 7*v - 9. Suppose -2*p = 2*q - p - 111, -q = -2*p - 58. Let s = q + -62. Determine x(s). -3 Let b(s) = -8*s**2 + 18 + 8 + 17*s**2 - 10*s**2 - 2*s. Determine b(-6). 2 Suppose -4*g + 3 = -a, 3*g + 4*a - 12 = 14. Suppose 4*h - w = -g*w + 2, -3*w = -6. Suppose -4 = t - h. Let c(y) = -y**3 - 3*y**2 + 3*y + 1. What is c(t)? 5 Let g be 1/((13/3)/(-13)). Let l(n) = -6*n**2 + 3*n + 7. Give l(g). -56 Let v be 78/66 + 4/(-22). Let k(p) = -15*p**2 - 6*p + 11*p**2 + 2*p + v + 2*p. Suppose 2*y - 4*j - 17 = y, 0 = -2*y - 5*j - 18. Determine k(y). -5 Let j(k) = 5 + 3*k - k**3 + 23 - 5*k**2 - 7 - 10. Determine j(-5). -4 Let r(x) be the first derivative of -3/2*x**2 + 1/4*x**4 + 0*x + x**3 + 29. Determine r(-4). -4 Let s(j) be the third derivative of -j**4/24 - j**3/2 - j**2 + 340*j. Determine s(14). -17 Let a(j) = j**2 - 8 + 5*j - 6*j + 8*j. What is a(-6)? -14 Let i be ((-10)/24)/((-35)/21). Let n(u) be the third derivative of 0 - 1/6*u**3 + 1/60*u**5 + i*u**4 + 0*u - 9*u**2. What is n(-7)? 6 Let v(i) = 7*i - 33 - 2*i - 2*i + 121. Determine v(-28). 4 Let d(r) = -r + r**2 - 2 + 0 + 0 + 0*r. Suppose -j = -2*k - 10, j + 0*j + 15 = -3*k. Let g be (-4)/(1/(k/(-10))). Give d(g). 4 Let x(t) be the first derivative of t**3/3 - 4*t**2 - 4*t + 1. Let g(o) = -20*o - 33. Let z be g(-2). Calculate x(z). -11 Let s be ((-450)/27)/5 + 4/(-6). Let d(o) = -2*o**2 - 6*o - 3. Calculate d(s). -11 Let j(d) = -24*d - 3. Suppose -9 - 6 = -5*v. Suppose -v*k + 3 = 54. Let f(n) = -8*n - 1. Let h(y) = k*f(y) + 6*j(y). Determine h(-1). 7 Let g(o) = o**3 - o**2 + 3. Suppose -3*i - 20 = -5, -5*s = 2*i. Let y be (0/26)/(2*1/s). Determine g(y). 3 Let h(l) be the third derivative of -1/60*l**5 + 1/6*l**3 + 1/24*l**4 + 1 + 0*l - 14*l**2. Give h(2). -1 Let j = 838 + -846. Let u(q) = 7*q + 12. Determine u(j). -44 Let g(x) = 0*x + 54*x**2 - 9 - 53*x**2 + 2*x - 3*x. Calculate g(6). 21 Suppose -2*x = -5*h - 1, 2*x + 8 = -2*h - 2*h. Let i(k) = 2*k**2 + 7428*k**3 - 6 + 4 - 7426*k**3 + 2*k. Calculate i(x). -14 Let i(n) = n**2 + n - 1. Let h(o) = 49*o + 295. Let z be h(-6). Determine i(z). 1 Let u(v) = -3*v**3 + 30*v**2 - 3. Let c be u(10). Let h(q) = -q**2 - 3*q - 3. Determine h(c). -3 Let q(g) = -6*g**2. Let r be ((-820)/(-70) - 11) + (-2)/(-7). Determine q(r). -6 Suppose -z + 5*n - 7 + 25 = 0, -15 = -3*z + 2*n. Suppose -3*v - 3*a + z = 0, -a + 5 = 4*v - 2*v. Let p(b) = b**2 - 2*b + 3. Give p(v). 11 Let g be 12/15 + (-12)/(-10). Let l(i) = 3*i**3 - 2*i**2 - 2*i + 3. Determine l(g). 15 Let g(w)
{ "pile_set_name": "DM Mathematics" }
/(-5) + 146/(-290). Let i = c + m. What is the common denominator of i and 48/11? 22 Suppose 45 = 4*l + 1. Calculate the common denominator of (21/56)/(1/(-44)) and l. 2 What is the common denominator of -69/10 and (-15)/(-20)*33/27? 60 Let w(a) = a**2 - 8*a + 5. Let k be w(10). Let f = -15 + k. What is the least common multiple of f and 4? 20 Let w(k) = -k**2 + 4*k + 1. Suppose 4*v + 2*y + 3*y = 16, 2*v = -3*y + 6. Let g = 2 + v. What is the smallest common multiple of w(3) and g? 44 Let j = 107 + -3425/32. Let h = 163/96 + j. Find the common denominator of 38/7 and h. 21 Let c = 195 - 189. What is the smallest common multiple of 27 and c? 54 Let q = -8 - -9. Suppose -2 = -4*u + 14. What is the smallest common multiple of u and q? 4 Suppose 4*t - 11 = 1. Calculate the least common multiple of 27 and t. 27 Find the common denominator of (-585)/(-108) + 2/4 and 5/24. 24 Let z(c) = -2*c - 2. What is the least common multiple of z(-6) and 6? 30 Let w = -499737/34 - -14696. Find the common denominator of (81/14 + -6)*(-98)/(-16) and w. 272 Suppose -2*i = -3*i - 4*f - 3, -3*f = -5*i - 38. Suppose -2*v - 10 = x - 3*v, 5*x + 30 = v. Let q = x - i. Calculate the least common multiple of 11 and q. 22 Let u = 70 - 40. Calculate the smallest common multiple of u and 33. 330 Let k be (14/77)/((-4)/(-1130)). Let t = k + -3151/44. Calculate the common denominator of 65/4 and t. 4 Suppose 0 = -5*h - 18 - 27. Calculate the common denominator of ((-51)/h)/(21/9) and 5/9. 63 What is the common denominator of (-2)/30*342/(-4) and 23/9? 90 Calculate the least common multiple of (-133)/(-7) + 3*1 and 10. 110 Let d = 2 - 1. What is the common denominator of ((-85)/40)/(1/(-6)) and (-142)/12 + d/(-3)? 12 Suppose 0*m - 5*m + 395 = 0. Let b = 39 - m. What is the common denominator of 113/6 and 162/b + (-1)/4? 30 Let o = -1711/4 - -441. What is the common denominator of ((-2)/((-18)/(-51)))/2 and o? 12 Let v(a) = -a**2 + 9*a - 6. Let n be v(6). Let z = 19 - n. What is the least common multiple of z and (-10)/15 + (-17)/(-3)? 35 Let f be 1/(((-6)/(-8))/3). Suppose -f*j + 18 = -j. What is the smallest common multiple of 2 and j? 6 What is the common denominator of -143/24 and 1570/252 + (-20)/70? 72 Let m(s) = -6*s**3 - 1. Let a be m(-1). Suppose 2*d - x + 2 = -0*x, -a*d + 17 = 3*x. What is the lowest common multiple of 4 and d? 4 Let g = -105/2 + 411/8. What is the common denominator of -55/4 and g? 8 Let d(k) = -k**3 - 12*k**2 + 12*k + 21. Calculate the smallest common multiple of d(-13) and 9. 306 Let l(u) be the first derivative of -5*u**2 - 4*u + 4. Calculate the smallest common multiple of l(-2) and 8/3 - (-2)/(-3). 16 Let q be (-402)/24 - (-1)/(-4). Calculate the lowest common multiple of q/(-3) + 9/27 and 1. 6 Let s(i) = 7*i**2 + 2*i + 1. Calculate the smallest common multiple of s(-1) and 6. 6 Suppose -14 = -2*r + 22. What is the smallest common multiple of r and 10? 90 Calculate the common denominator of (3/(-2))/(60/620) and -103/10. 10 Let z = 843/5 - 7059/40. What is the common denominator of -46/11 and z? 88 Calculate the common denominator of 484/112 + 1/(-4) and 34*(-6)/(-88) + -3. 154 Let h = 701/6 - 1421/12. What is the common denominator of 83/30 and h? 60 Let r = -114075 + 452529/4. Let c be (-5613)/(-6) - (-2)/4. Let m = r + c. Find the common denominator of m and -5/4. 4 Suppose j + 4*r = 0, -2*j + 5*j + 3*r = 9. Suppose -40 = -2*o - j*p, -4*p + 9 = -3. Calculate the least common multiple of 2 and o. 14 Suppose 2*x - 18 - 26 = 0. Calculate the common denominator of 436/x*3/(-12) and (-273)/(-2)*(-2)/(-36). 132 Suppose 111 + 104 = -5*b. Find the common denominator of b and 133/6. 6 Suppose 0 = -n - 3*n + 16. Suppose 3*z = -n + 22. What is the lowest common multiple of z and 9? 18 Suppose 2*k + 4 = 8. Let r(d) = d**2 - d + 2. Calculate the least common multiple of r(0) and k. 2 Suppose -18*y + 40 = -14*y. Suppose z - y = -0*z. What is the lowest common multiple of 6 and z? 30 Suppose 2*x - 3*x = 0. Suppose 5*n = 2*s - 30, -3*n - 20 = -4*s + 12. Suppose s = -x*f + 5*f. Calculate the smallest common multiple of 7 and f. 7 Suppose 4*p + 18 = p - 3*x, 3*x = -2*p - 16. Let z = p + 5. Suppose -4*n + 20 = -5*y - 6, z*n - y - 25 = 0. What is the lowest common multiple of 6 and n? 18 Let l = -1/323572 + -73329499/1779646. Let g = l + -13/44. Find the common denominator of 45/2 and g. 2 Let h(j) = -4*j - 34. What is the smallest common multiple of h(-9) and 6? 6 Suppose k - 2 = y + 4, 5*k - 2*y - 45 = 0. What is the smallest common multiple of k and 5? 55 Suppose -5*s = -3*j + 97, 3*s + j + 62 = -j. Find the common denominator of s and -68/3. 3 Let a = 682358378/23739 - 1179236/41. Let x = a + -1/193. Find the common denominator of x and 61/8. 24 What is the lowest common multiple of (1/(-2))/(-6 + 430/72) and 10? 90 Let b be 9/36 - (-1602)/8. Let z = b + -156. Calculate the common denominator of 79/8 and z. 8 Let o = 1276/5385 + -3085382/285405. Let y = o + -12/53. Calculate the common denominator of y and 18/7. 35 Let z(k) = -k**3 - 10*k**2 + 10*k - 8. Calculate the smallest common multiple of 14 and z(-11). 42 Suppose 5*g - 2 = 5*j + 13, 5*g = -4*j + 33. Suppose -z + 2 = -4*u - 7, 0 = -g*z + 2*u + 9. What is the lowest common multiple of 9 and z? 9 Suppose 2*j - 6 = -j. Let q(l) be the first derivative of l**4/4 + 4*l**3 + 6*l**2 + 15*l + 1. What is the smallest common multiple of q(-11) and j? 4 Let b = 439/11687 + -2/377. Let z = b + -1150/93. Find the common denominator of z and -50/3. 3 Suppose 12*h - 17*h = -60. What is the least common multiple of h and 11? 132 Let z be -3 + 578/400*-1. Let g = -92/25 + z. Let x = -3365/6 + 558. Calculate the common denominator of x and g. 24 Let f be 4/24 + (-125242)/(-12). Let z = 104269/10 - f. What is the common denominator of ((-298)/(-72))/(2/(-6)) and z? 60 Calculate the common denominator of 3 + ((-29)/(-2) - -4) and 19/70. 70 Suppose c = 6*c. What is the common denominator of -111/20 and 1/(-24)*(7 + c)? 120 Let q = -498557 + 2979349/6. Let o = -2007 - q. Calculate the common denominator of o and 53/14 - (3 - 4). 42 Let f = 1 - -1. Let b = -8 + f. Find the common denominator of 274/(-56) + b/8 and 41/12. 84 Let s = 0 - -4. Suppose -20 - s = -4*k. Let g(m) = m**2 + 3*m - 3. Calculate the smallest common multiple of k and g(2). 42 Let k = -637/10 + 62. Find the common denominator of k and -31/11. 110 Let f be (-2)/4 - 3/2. Let v be (-4)/(f - 40/(-18)). Let i = -8 - v. What is the lowest common multiple of 8 and i? 40 Suppose 2*j + 42 = 58. What is the smallest common multiple of 24 and j? 24 What is the lowest common multiple of 2/(-9) + (-292)/(-18) and 26? 208 Let c = 1437715739/9969302 - -2/712093. Let h = c + -144. What is the common denominator of h and -35/8? 56 Let p = 57 + -41. Calculate the least common multiple of 6 and p. 48 Let z = 12806 + -307397/24. Calculate the common denominator of 37/4 and z. 24 Suppose 3 + 18 = 5*o + s, 0 = -5*o - 4*s + 24. What is the smallest common multiple of o and 6? 12 Let c = 154333/138 + -266/69. Let m = c - 10064/9. Find the common denominator of -25/18 and m. 18 Let x = -69/4207 + -1561761/197729. Let t = -7637/282 - x. Find the common denominator of 1988/140*(-10)/(-36) and t. 18 Let c = 99061/9810 - -2/981. What is the common denominator of c and 73/10*1/(-2)? 20 Suppose 0 = -2*d - d + 6. What is the lowest common multiple of d and 5? 10 Let n = 13 + -43. Let j = -12 - n. Calculate the smallest common multiple of 6 and 356/j + (-8)/(-36). 60 Suppose 5*a = s - 3*s - 15, 4*s + 3*a = 5. What is the lowest common multiple of s and (-1 - -5)*(-5)/(-2)? 10 Suppose 3 = -x - 1. Suppose -4*t = -2*t - 10. What is the smallest common multiple of t and x/18 + 20/9? 10 Let h(q) = -q + 5. Calculate the least common multiple of 10 and h(0). 10 Let h be (2*1)/((-4)/8). Let s = h - -6. Suppose 0*i - 5*i + 70 = -4*v, s*i + 4*v = 56. Calculate the lowest common multiple of i and 4. 36 Let w = 6 - 4. Suppose -w*z - 242 + 2 = 0. Find the common denominator of (558/z)/(6/4) and -29/2. 10 Let s = -17/184 + 5875/64584. Let g = s + 3691/3861. Find the common denominator of (-337)/(-36) + (-2)/(-9) and g. 132 Suppose 3*f - 27 = -4*k + 22, 4*f + 18 = 3*k. Suppose 3*c + 5*j + k = 48, -5*
{ "pile_set_name": "DM Mathematics" }
14)**3*(b + 1847) Suppose -3*m**2/4 + 125265*m/4 = 0. Calculate m. 0, 41755 Factor 8*p**3/3 - 157742*p**2/3 + 777559612*p/3 + 194399762/3. 2*(p - 9859)**2*(4*p + 1)/3 Solve -c**4/2 - 109*c**3 - 1316*c**2 + 3405*c + 9225/2 = 0. -205, -15, -1, 3 Let -3*m**5/5 - 48*m**4/5 - 216*m**3/5 + 66*m**2/5 + 447*m + 630 = 0. Calculate m. -7, -5, -2, 3 Solve 25*c**5 - 1685*c**4 + 20495*c**3 - 76855*c**2 + 99120*c - 28620 = 0 for c. 2/5, 2, 3, 9, 53 Factor 2*f**2/13 - 3956*f/13 + 357770/13. 2*(f - 1883)*(f - 95)/13 Factor 2*t**2/5 + 258*t/5 + 7776/5. 2*(t + 48)*(t + 81)/5 Factor 3*t**3/5 - 7779*t**2/5 - 23358*t/5 - 15576/5. 3*(t - 2596)*(t + 1)*(t + 2)/5 Let -4*o**5/3 + 20*o**4/3 + 512*o**3/3 + 176*o**2/3 - 4288*o/3 + 3584/3 = 0. Calculate o. -8, -4, 1, 2, 14 Determine h so that -2*h**5 - 94*h**4 - 1216*h**3 - 3800*h**2 - 3456*h = 0. -27, -16, -2, 0 Factor -2*t**4/11 - 288760*t**3/11 - 10422792200*t**2/11. -2*t**2*(t + 72190)**2/11 Suppose -5*x**3/4 - 15705*x**2/2 - 31405*x/4 = 0. What is x? -6281, -1, 0 Factor -c**4/5 + 211703*c**3/5 - 14939316168*c**2/5 + 70280518952512*c + 351417534290432/5. -(c - 70568)**3*(c + 1)/5 Determine p, given that -p**4/2 + 20128*p**3 + 40259*p**2/2 - 40257*p = 0. -2, 0, 1, 40257 Factor 45*l**2 + 398825*l - 88630. 5*(l + 8863)*(9*l - 2) Factor -9*o**3/4 - 35*o**2/2 + 49*o - 10. -(o - 2)*(o + 10)*(9*o - 2)/4 Determine o so that -5*o**2 + 190*o + 20640 = 0. -48, 86 Solve 2*u**2/7 + 5196*u/7 + 3374802/7 = 0. -1299 Find v, given that -4*v**3 + 3404*v**2 - 735968*v + 4986352 = 0. 7, 422 Factor 2*p**3 - 3230*p**2 + 1292734*p + 9208094. 2*(p - 811)**2*(p + 7) Let -4*h**4/7 - 804*h**3/7 - 216*h**2 + 15824*h/7 - 19104/7 = 0. What is h? -199, -6, 2 Let -x**5/2 - 25*x**4 - 471*x**3/2 - 851*x**2 - 1264*x - 624 = 0. What is x? -39, -4, -2, -1 Factor 4*x**4/3 + 47*x**3 - 1141*x**2/3 - 98*x. x*(x - 7)*(x + 42)*(4*x + 1)/3 Factor t**2 + 147*t + 2852. (t + 23)*(t + 124) Factor -2*k**2 + 58890*k - 58888. -2*(k - 29444)*(k - 1) Solve 188*z**5 + 18260*z**4 + 38236*z**3 + 22444*z**2 + 2280*z = 0. -95, -1, -6/47, 0 Factor 3*c**2/4 + 171321*c/4 + 171315/2. 3*(c + 2)*(c + 57105)/4 Solve k**3/5 + 292*k**2/5 + 9179*k/5 - 9472/5 = 0 for k. -256, -37, 1 Factor 6*j**2 + 54707*j - 9118. (j + 9118)*(6*j - 1) Factor -9*g**2/5 - 439*g/5 + 98/5. -(g + 49)*(9*g - 2)/5 Suppose 6*z**4 - 1695*z**3 + 113727*z**2 - 2207832*z - 1132560 = 0. Calculate z. -1/2, 44, 195 Factor -t**3/11 + 120551*t**2/11 - 3633075624*t/11 - 3633196176/11. -(t - 60276)**2*(t + 1)/11 Solve -p**2/2 + 439*p/2 - 22865 = 0 for p. 170, 269 Solve -3*g**5/8 - 231*g**4/2 + 242427*g**3/4 + 21406077*g**2/2 - 25761518667*g/8 = 0. -391, 0, 237 Determine l, given that -5*l**4 - 3530*l**3 - 82065*l**2 - 153560*l - 75020 = 0. -682, -22, -1 Suppose 14*n**3/13 + 178000*n**2/13 + 228838*n/13 + 50852/13 = 0. Calculate n. -12713, -1, -2/7 What is x in 105*x**5 + 44120*x**4 + 567660*x**3 + 1609730*x**2 - 1637685*x + 199430 = 0? -407, -7, 1/7, 2/3 Suppose 9*s**3/5 - 30039*s**2/5 + 81762*s + 139608/5 = 0. Calculate s. -1/3, 14, 3324 Solve -t**3/2 - 721*t**2/2 - 65160*t - 64800 = 0. -360, -1 Factor 3*s**2/4 - 1065*s/4 + 1827. 3*(s - 348)*(s - 7)/4 Suppose b**4 - 257*b**3 - 11508*b**2 - 109476*b - 299376 = 0. Calculate b. -28, -6, 297 Solve 2*m**5/3 - 10*m**4/3 - 164*m**3/3 - 524*m**2/3 - 202*m - 78 = 0. -3, -1, 13 Suppose -3*c**5/4 - 27*c**4/2 - 309*c**3/4 - 387*c**2/2 - 219*c - 90 = 0. Calculate c. -10, -3, -2, -1 Suppose -s**5 + 3379*s**4 + 54257*s**3 + 213793*s**2 + 312296*s + 149380 = 0. What is s? -11, -2, -1, 3395 Factor -m**3/4 - 394*m**2 + 4*m + 6304. -(m - 4)*(m + 4)*(m + 1576)/4 Suppose 2*n**5/7 + 122*n**4/7 + 114*n**3/7 - 362*n**2/7 - 116*n/7 + 240/7 = 0. What is n? -60, -2, -1, 1 Let j**5/5 + 369*j**4/5 + 11952*j**3/5 - 4086464*j**2/5 + 119912448*j/5 + 124010496/5 = 0. What is j? -232, -1, 48 Factor 2*g**2/9 - 21160*g/9 + 11750. 2*(g - 10575)*(g - 5)/9 Solve -n**3 - 412*n**2 + 2499*n - 3762 = 0. -418, 3 Let 4*z**2 + 3143652*z = 0. What is z? -785913, 0 Suppose -11858*y**4 + 721490*y**3 + 847852*y**2 + 118968*y + 4464 = 0. What is y? -1, -6/77, 62 Factor v**3/5 - 43*v**2/5 - 5*v + 215. (v - 43)*(v - 5)*(v + 5)/5 Let 18404*s**2 + 331264*s - 144 = 0. What is s? -18, 2/4601 Find k such that -3*k**2/8 - 747*k/4 + 7545/8 = 0. -503, 5 Determine b so that -6*b**2/5 + 13594*b/5 - 4528 = 0. 5/3, 2264 Determine v so that -3*v**3 - 174*v**2 - 411*v + 4620 = 0. -55, -7, 4 Solve -4*s**3 - 1172*s**2 - 70376*s + 71552 = 0 for s. -208, -86, 1 Factor 2*v**3 - 8758*v**2 + 52494*v - 78714. 2*(v - 4373)*(v - 3)**2 Solve 98*q**5/5 + 2478*q**4/5 - 54374*q**3/5 - 268918*q**2/5 - 73476*q/5 - 5168/5 = 0. -38, -4, -1/7, 17 Suppose 4*n**2 + 1100*n = 0. Calculate n. -275, 0 Suppose 3*g**4 - 81*g**3 - 813*g**2 - 999*g + 1890 = 0. Calculate g. -6, -3, 1, 35 Factor 12*t**2 + 656*t/3 - 532/3. 4*(t + 19)*(9*t - 7)/3 Factor h**2 + 138*h + 2736. (h + 24)*(h + 114) Determine d, given that d**4/5 - 6268*d**3/5 + 6262*d**2/5 + 31332*d/5 + 18801/5 = 0. -1, 3, 6267 Let 5*k**5 - 2545*k**4 - 10245*k**3 - 7715*k**2 + 10240*k + 10260 = 0. Calculate k. -2, -1, 1, 513 What is t in 3*t**3 - 144573*t**2 + 1741851645*t - 1741707075 = 0? 1, 24095 Let -2*y**5 + 326*y**4 - 942*y**3 - 2926*y**2 + 7384*y - 3840 = 0. Calculate y. -3, 1, 4, 160 Factor -m**3 - 210*m**2 - 10139*m - 103530. -(m + 14)*(m + 51)*(m + 145) Determine z so that 4*z**5/5 + 692*z**4/5 + 11576*z**3/5 - 1691432*z**2/5 + 9759684*z/5 - 2885148 = 0. -107, 3, 35 Factor -21*f**3 - 45*f**2 + 516*f. -3*f*(f - 4)*(7*f + 43) Suppose -2*c**2/5 - 13518*c/5 = 0. What is c? -6759, 0 Factor -r**3 + 540*r**2 - 3209*r + 2670. -(r - 534)*(r - 5)*(r - 1) Solve -2*b**2 - 24422*b - 24420 = 0 for b. -12210, -1 Factor 4*s**4 - 424*s**3 + 6116*s**2 - 5696*s. 4*s*(s - 89)*(s - 16)*(s - 1) Suppose 6*p**3 - 309942*p**2 + 619875*p/2 - 77484 = 0. Calculate p. 1/2, 51656 Factor -15*u**3 + 140*u**2 + 1885*u + 1190. -5*(u - 17)*(u + 7)*(3*u + 2) Factor 3*w**3 - 7620*w**2 + 739500*w - 18300000. 3*(w - 2440)*(w - 50)**2 Factor -m**5 + 220*m**4 - 2745*m**3 + 11270*m**2 - 19100*m + 11592. -(m - 207)*(m - 7)*(m - 2)**3 Determine g, given that -2*g**2/9 - 667004*g/9 - 55611792002/9 = 0. -166751 Determine n, given that 2*n**5/3 - 32*n**4/3 + 184*n**3/3 - 448*n**2/3 + 128*n = 0. 0, 2, 4, 6 Let 4*w**5 + 252*w**4 + 4088*w**3 + 3592*w**2 - 4092*w - 3844 = 0. What is w? -31, -1, 1 What is z in 3*z**5/2 + 15*z**4/2 - 315*z**3/2 + 885*z**2/2 - 24*z - 630 = 0? -14, -1, 2, 3, 5 Factor 3*g**4 + 5550*g**3 + 2981631*g**2 + 383649300*g + 14335211628. 3*(g + 82)**2*(g + 843)**2 Find h such that -4*h**5 - 2268*h**4 + 16012*h**3 - 34404*h**2 + 20664*h = 0. -574, 0, 1, 3 Solve -o**2/2 - 31631*o/2 + 79090 = 0. -31636, 5 Factor -2*z**2 - 42760*z - 171008. -2*(z + 4)*(z + 21376) Factor 2*z**4 + 482*z**3 + 2830*z**2 + 2350*z. 2*z*(z + 1)*(z + 5)*(z + 235) Suppose -j**4/9 - 169*j**3/9 - 269*j**2/3 + 2125*j/9 - 1148/9 = 0. Calculate j. -164, -7, 1 Factor -2*m**2/9 + 332*m/9 - 326/3. -2*(m - 163)*(m - 3)/9 Let 786200*j**3 - 746790*j**2 - 39405*j - 5 = 0. What is j? -1/20, -1/7862, 1 Solve 6832996*m**2/5 - 26140*m + 125 = 0 for m. 25/2614 Factor -v**2 + 125744*v - 3952888384. -(v - 62872)**2 Factor 5*n**3 + 18650*n**2 + 17409760*n + 34744960. 5*(n + 2)*(n + 1864)**2 Factor 5*c**4 + 310*c**3 - 635*c**2 + 320*c. 5*c*(c - 1)**2*(c + 64) Find y such that 5*y**5/6 + 11179*y**4/6 + 5209*y**3 - 8939*y**2/3 - 31259*y/6 + 2233/2 = 0. -2233, -3, -1, 1/5, 1 Find f, given that 2*f**5 + 196*f**4 - 7366*f**3 + 42232*f**2 + 263432*f + 295936 = 0. -128, -2, 17 Factor 8*s**4/9 - 7762*s**3/9 + 1940*s**2/9. 2*s**2*(s - 970)*(4*s - 1)/9 Let g**5 + 99*g**4 + 2687*g**3 + 25301*g**2 + 58548*g + 35836 = 0. Calculate g. -62, -17, -2, -1 Factor -k**5/6 + 724*k**4/3 - 531341*k**3/6 + 2584805*k**2/3. -k**2*(k - 719)**2*(k - 10)/6 Let 2*s**4/5 - 538*s**3/15 - 25604*s**2/5 + 129832*s/15 + 17264/5 = 0. What is s? -78, -1/3, 2, 166 Factor 98*a**3/5 - 1792*a**2/5 - 31078*a/5 - 20172. 2*(a - 30)*(7*a + 41)**2/5 What is g in -2*g**3 - 180*g**2 - 5218*g - 48360 = 0? -39, -31, -20 Factor -r**2/3 - 9581*r/3 - 210298/3. -(r + 22)*(r + 9559)/3 Factor -5*s**4 - 80*s**3 + 5255*s**2 - 23650*s. -5*s*(s - 22)*(s - 5)*(s + 43) Factor h**2 + 618*h - 73440. (h - 102)*(h + 720) Factor -2*p**3 -
{ "pile_set_name": "DM Mathematics" }
o) + 5*k(o). Let t be r(16). Calculate the highest common factor of t and 24. 12 Let u(x) = x - 3. Let g be u(-4). Let z be 0 + (-4 - g) - -9. Let v = 187 - 175. What is the highest common divisor of v and z? 12 Suppose -317 - 235 = -8*b. Let z = 30 + b. Calculate the greatest common factor of z and 22. 11 Let v(l) = -34*l. Let n be v(0). Suppose n - 1170 = -15*f. What is the highest common divisor of f and 12? 6 Suppose -27*s = 11*s - 380. Let a be (296/s)/(26/65). Calculate the highest common divisor of 555 and a. 37 Suppose -3*p + 2*o - o = 162, -o = -4*p - 216. Let n = -42 - p. Suppose 0*s + 4*s - 336 = 0. What is the highest common factor of s and n? 12 Let u = -8 + 13. Suppose u*w + 10 = 35. What is the highest common factor of 65 and w? 5 Let h be (13/4)/(-24 + 873/36). Let c be 58/(-3)*39/(-2). Calculate the highest common divisor of c and h. 13 Let a(l) = -140*l + 448. Let q be a(2). What is the greatest common factor of q and 88? 8 Suppose 5*f = 115 + 260. Let p(t) = 15*t**2 - 7*t - 6. Let s be p(-1). Suppose s*r = 13*r + f. Calculate the highest common factor of 225 and r. 25 Let v be 261*(-6)/18*-1. Calculate the highest common factor of v and 1827. 87 Let v be (4 + -2 + 0)/(-2) + 511. Suppose 28*z = v + 778. Calculate the greatest common factor of 575 and z. 23 Let v(s) = s**3 + 8*s**2 - 94*s + 197. Let l be v(3). Suppose 0 = -6*i + i + 3*k + 1622, -1590 = -5*i - 5*k. What is the highest common factor of i and l? 14 Suppose -4*a + 2*n = -30, 4*a - 24 - 21 = 5*n. Suppose j + j + 1830 = a*q, -3*j + 713 = 2*q. What is the highest common factor of 52 and q? 52 Suppose 2 - 6 = -w. Let n be -1 + (w - 2) - (7 - -114). Let f = 125 + n. What is the highest common factor of f and 5? 5 Let f = 6016 + -5948. What is the highest common divisor of f and 9384? 68 Suppose -5*k + 37474 = 2*h, -4*k + h - 12606 = -42606. What is the greatest common factor of 138 and k? 46 Let d = -496 + 931. Suppose 8*t - 3*t + 5*f = -d, 4 = -f. Let c = 89 + t. Calculate the greatest common divisor of c and 4. 2 Let k be (-5957)/(-42) - (125/(-30) - (-9 - -4)). Calculate the greatest common divisor of k and 25521. 141 Let l be (-5)/10*(-1 + -1). Let v be 34 - (-3 + 9/l). Suppose -4*r - 82 = -x, r + 35 = -x + 102. Calculate the greatest common divisor of x and v. 14 Let a = 4863 + -276. What is the greatest common factor of 33 and a? 33 Suppose -2*j - d = 22, -5*j - 54 = -d + 3*d. Let s = 1 - j. Let p = s + -1. What is the highest common factor of p and 5? 5 Suppose 0 = -2*j - 2*i + 242 - 84, 0 = 3*j + 5*i - 227. Calculate the greatest common divisor of 2163 and j. 21 Let x be 11*(6/(-2))/6*6720/(-880). What is the highest common factor of x and 204? 6 Let v(l) = 182*l + 1169. Let m be v(-6). What is the greatest common divisor of 264 and m? 11 Suppose -13*o = -668884 + 668741. Let r = 260 + 59. What is the highest common factor of o and r? 11 Let h be (-27)/((-135)/(-3070))*(16/(-2) + 1). Calculate the highest common factor of h and 14. 14 Let t(x) = -74*x**2 + 305*x - 1. Let f be t(3). Suppose p - 40 = 22. What is the highest common factor of p and f? 62 Let l = 38 - 47. Let f(j) = -j**3 - 6*j**2 + 20*j + 7. Let u be f(l). Suppose -14 = -4*m + 2*m. What is the highest common factor of u and m? 7 Let a be -2*7/2*-1. Suppose a*h + 73 = 374. What is the greatest common factor of 989 and h? 43 Suppose 0 = 3*s - 4*a - 2574, a = -5 + 2. What is the greatest common factor of s and 366? 122 Let o be 40/28 - (-1134)/98. Let x = -16 + 26. Let m be 128/x + (-1)/(-5). Calculate the greatest common divisor of o and m. 13 Let p be 0/((-3 - (-2 - -1))/(-2)). Let j(q) = -q**3 - 3*q**2 + 2*q + 5. Let k be j(p). What is the highest common factor of k and 95? 5 Let a be 0*7/(112/(-8)). Let s be 54/(5 - (a + 3)). What is the greatest common divisor of s and 33? 3 Suppose 16*u - 55*u = 33*u - 1584. Suppose -4*z = -335 + 115. Calculate the highest common divisor of z and u. 11 Let x = -23218 + 23270. Suppose 2*g = -l + 4*l + 535, l = g - 265. What is the greatest common divisor of g and x? 52 Let w be (-4 + (-40)/(-15) - (-85316)/42) + 7. Calculate the greatest common divisor of w and 1261. 97 Suppose 5*v + 5*d + 30 = 0, -2 = -5*d - 27. Let a be v + 54/4 + 7/14. Suppose 6*b + 182 - 1196 = 0. What is the greatest common divisor of a and b? 13 Let t(h) = -2*h**2 + 9*h - 4. Let b be (0 - -2)/(3/6). Let x be t(b). Let j(w) = w + 2. Let a be j(x). Calculate the highest common factor of a and 22. 2 Suppose 32 = 2*i + 28. Let v = 42 - 9. Let j = v + i. What is the greatest common divisor of j and 140? 35 Let s = -11440 - -11962. Calculate the greatest common divisor of s and 18. 18 Let z(n) = 226*n + 10. Let t be z(2). Let x(k) = 4*k**2 - 62*k + 34. Let u be x(16). What is the greatest common divisor of t and u? 66 Let j(k) = -k**3 + 6*k**2 + 3*k - 26. Let o be j(3). Let t be 1 + (-5)/(-10)*o. What is the highest common factor of t and 10? 2 Let g(d) = 3*d - 2. Let j be g(-2). Let b(p) = p**2 + 7*p + 3. Let s be b(j). Let w = 10 + s. What is the highest common factor of 7 and w? 7 Let p = 42 + -33. Suppose g - p = -2*h - 1, 0 = -2*g. Calculate the highest common divisor of 144 and h. 4 Suppose -2*u - 109 = 281. Let i = u + 307. Calculate the highest common divisor of 32 and i. 16 Suppose -12 = 4*t, t = -5*i + 129 + 13. Let a = 1171 - 1142. What is the greatest common factor of i and a? 29 Suppose 527 = 4*g + r, -3*g - 5*r - 269 = -5*g. Suppose n = 1 + 1. Let m be n*(3 + g/8) - 3. What is the highest common factor of m and 18? 18 Let u(p) = p**3 + 109*p**2 - 61*p + 6068. Let x be u(-110). What is the greatest common divisor of 3616 and x? 226 Let a = 9387 + -9372. Calculate the highest common factor of 25455 and a. 15 Suppose 0 = -2*q + 5*v + 1571, -5*q + 6*v + 2389 = -1493. What is the greatest common factor of q and 66? 6 Suppose 7*c - 6*c = -2*m - 1662, 4*m + 3324 = -c. Let u = m + 937. Calculate the greatest common factor of u and 583. 53 Let g(y) = -y**3 - 20*y**2 - 3*y - 49. Let w be g(-20). What is the greatest common divisor of w and 5599? 11 Let w be (-30)/9*(-21)/14. Suppose 38 = w*g - 112. Suppose -70 + 16 = -2*k + 4*v, -2*k + g = 4*v. Calculate the greatest common factor of k and 6. 3 Suppose -d = -l, 0*d - d + 20 = 4*l. Suppose 4 + 148 = d*j. Suppose 0 = -147*y + 153*y - 342. What is the highest common factor of j and y? 19 Let k = 3 + -46. Let g(i) = 3*i**2 + 4*i + 16. Let n be g(-5). Let f = n + k. What is the highest common factor of 224 and f? 28 Let c = -132 + 130. Let l be 20434/170 + (c - 18/(-10)). Calculate the greatest common divisor of 24 and l. 24 Suppose 60*n - 135 = 75*n. Let t(b) = 3*b**2 - b - 2. Let i be t(n). Calculate the highest common divisor of i and 25. 25 Let b(t) = -64*t - 42. Let j be b(7). Let x be ((-15)/(-25))/((-2)/j). Calculate the greatest common factor of 63 and x. 21 Suppose q - 2*o = 1921, 4*q + 5*o - 10622 = -3003. Calculate the greatest common factor of q and 78. 39 Suppose -3*q = -c + 4810, -3*c + 14538 = 7*q - 4*q. Calculate the greatest common factor of 14 and c. 7 Suppose 0 = p - 5 + 1, 4*p + 8 = z. Let i(w) = w**2 - w - 37. Let f be i(-6). Let v = 89 - f. Calculate the greatest common factor of z and v. 12 Suppose -3*z + 3*k + 567 = 0, -5*k = 79*z - 77*z - 343. Calculate the greatest common factor of 8 and z. 8 Let x(h) = 15*h - 35. Let o be x(7). Let c be (104/10)/((-4)/(-20)). Let q = o - c. Calculate the highest common factor of 126 and q. 18 Let g = 95 + -95. Suppose -4*m + m + 2*m = g. Let l be 42 + 17 + (m - (1 - -2)). Calculate the highest common factor of l and 7. 7 Let g = 9836 - 8453. Calculate the highest common divisor of 6 and g. 3 Suppose 3677*z = 3669*z + 328. Calculate the highest common divisor of 2501 and z. 41 Let r(p) = -2194*p + 2187*p + 17 + p**2 - 12 + 14. Let s be r(7). Calculate the greatest common factor of s and 266. 19 Let c be (-2125)/(-3400) - 171539/(-8). What is the highest common factor of 41 and c? 41 Let h(g) = -6*g**3 - 4*g**2 + 6*g + 3. Let q be h(-4). Let v(b) = -201*b + 6043. Let s be v(30). Calculate the highest common divisor of q and s. 13 Suppose -2*k = -3*z - 756, k + 748 = -5*z - 499. Let c = z - -265. What is the greatest common divisor of c and 45? 15 Let k(w) = -2*w**3 - w**2 - w + 6. Let
{ "pile_set_name": "DM Mathematics" }
= o. Is k a multiple of 13? False Suppose 4*m = 2*m + 28. Let w = m + -10. Is w a multiple of 3? False Let z be 376/6 + (-2)/3. Suppose 0*o - z = -4*y + 5*o, 0 = 4*o - 8. Is y a multiple of 12? False Suppose 2*r + 252 = 5*r. Does 12 divide r? True Let y be (-15 + 3)*(-1)/(-2). Let u = -5 - y. Is 2 + u/(-2)*-4 a multiple of 4? True Suppose -5*w = -3*v + 13, -3*w = 2*v - 0*w + 23. Let a = v - -11. Is 4 a factor of a? False Let s = -5 + 11. Let d be s*-1*(-1 + -1). Let t = 27 - d. Is t a multiple of 8? False Let h(r) = -r**3 + 5*r**2 + 6*r + 3. Let m be h(6). Let s be ((-3)/(-1) - 3) + m. Is 13 a factor of 33*(0 + 3/s)? False Suppose i - 16 = -3*i. Suppose -i*p + 82 = 10. Let c = p - 10. Does 3 divide c? False Let t(k) = k**2 + k + 2. Suppose 4*q + 28 = 3*h - 24, 5*q - 10 = 0. Suppose -h = 4*g - 8. Is t(g) a multiple of 8? True Let u = 2 + -1. Let k(j) be the third derivative of j**6/30 + j**5/60 - j**4/24 + 2*j**2. Does 2 divide k(u)? True Suppose -5*w = -4*j - 27, -4*j - 4*w = -7*j - 21. Let p be ((-3)/j - -1) + 58. Suppose -d + p = d. Is 15 a factor of d? True Suppose 0*f = -3*f + 18. Suppose f*l - 72 = 2*l. Does 13 divide l? False Let x(d) = d**2 - 4*d + 9. Is 17 a factor of x(7)? False Let r(v) be the third derivative of -v**6/120 + 2*v**5/15 + v**4/24 + v**3 - 2*v**2. Is 6 a factor of r(8)? False Let b(c) = -c**3 - 2*c**2 - 2*c + 3. Let m = -2 - 1. Let h = m + 0. Does 16 divide b(h)? False Let l = 102 - 50. Does 26 divide l? True Does 4 divide 9/(-6)*(-8)/2? False Suppose -g + 18 = -46. Suppose 4*x - g = -v, 2*x + 127 = 3*v + x. Is v a multiple of 11? True Suppose 0*s = -2*k - 3*s + 64, 114 = 5*k - 4*s. Is k a multiple of 13? True Let h(s) = 55*s - 2. Is 36 a factor of h(2)? True Suppose 4*q - 103 = 205. Is 15 a factor of q? False Is 12 a factor of 1 - 1 - 288/(9 - 12)? True Let o be (-1*12/(-2))/(-1). Let w = -2 - o. Is 5 a factor of (w - 2)*10/4? True Suppose -8 = -i - 4. Suppose -24 = -5*m - 4*v, m - 2*m - i*v = -8. Let c = m - -19. Is 10 a factor of c? False Suppose 4 = 2*h + 32. Let b be h/21 + (-14)/(-3). Let n = b - 1. Is n a multiple of 2? False Is (532/(-42))/(4/(-6)) a multiple of 4? False Suppose -p + 5*o + 26 = 0, 3*p - 2*o - 50 = -o. Suppose 6*f = -p + 46. Is f a multiple of 5? True Suppose 0*z = 3*u + 5*z - 81, -5*u = -z - 107. Is 11 a factor of u? True Let w(j) be the first derivative of -j**7/840 + j**6/72 + 3*j**5/40 - j**4/4 + j**3/3 - 1. Let i(c) be the third derivative of w(c). Does 12 divide i(6)? True Suppose 3*s = -5*d + d + 567, -2*s = -2*d + 280. Does 47 divide d? True Suppose 21 = -p - 5*v, 5*p + 5*v + 7 = -78. Let c = p - -10. Is 11 a factor of (44/c)/((-4)/12)? True Suppose 2*o + 3*o - 95 = 0. Is 19 a factor of o? True Suppose -542 = -2*p + 2*f - 4*f, -4*p - 2*f = -1074. Is p a multiple of 38? True Let y = 39 + -7. Is 15 a factor of y? False Let d(r) = -2*r + 38. Is 26 a factor of d(-7)? True Suppose o = 3*l + 69, 0*o - 5*o + 265 = 5*l. Is o a multiple of 19? True Suppose -4*j + 5*f + 55 = 4*f, -2*j - f = -23. Let b = j - -28. Is 17 a factor of b? False Let n(s) = 3*s + 8. Let r(x) = 4. Let g(q) = 3. Let w(t) = 7*g(t) - 5*r(t). Let b(c) = n(c) - w(c). Is b(7) a multiple of 14? True Let a be (-18)/(-4)*(-32)/(-6). Let z = a + 14. Does 19 divide z? True Suppose -4*w - y = -17, y + 13 = -5*w + 7*w. Suppose 0*d = -d, -w*z - d + 220 = 0. Is 11 a factor of z? True Let g(q) = q**3 + 8*q**2 - q - 11. Let t be g(-8). Is 6 a factor of (2 - -10)/((-2)/t)? True Let c(a) = 6*a - 2. Is c(5) a multiple of 5? False Let b = 91 - -111. Does 11 divide b? False Suppose 4*n + n = 3990. Let f be n/(-10) - (-3)/(-15). Does 12 divide (3/(-4))/(5/f)? True Let i = 255 - 159. Does 16 divide i? True Let m(x) = -19*x**2 - x + 5. Let n be m(-4). Let p be (-1)/2 - n/10. Let z = p + -14. Is z a multiple of 8? False Suppose 0 = b - 3. Suppose b*g + 21 = m, -m - 3*m - g + 123 = 0. Does 15 divide m? True Let f = -2 - -8. Let t = 86 - 48. Suppose v = t - f. Is 17 a factor of v? False Let x be (-28)/(-8) + (-2)/4. Suppose p + x*p + q = 1, -5 = -2*p - 5*q. Suppose -2*o - o + 9 = p. Does 2 divide o? False Let s = 18 - 6. Is s even? True Let h(d) = 2*d - 3*d + 5*d - 7. Let a be h(5). Suppose -5*i = 4*w - 76 - a, -5*i + 110 = 5*w. Does 12 divide w? False Suppose -4*y - 4*h + 141 = -h, 2*y + 5*h - 53 = 0. Does 9 divide y? False Suppose 3*g + 0*g - 5*p - 306 = 0, 5*p - 306 = -3*g. Is g a multiple of 17? True Let t(h) = -h**3 - 4*h**2 + 4*h - 8. Let b(i) = -i**3 - 4*i**2 + 4*i - 9. Let j(p) = 2*b(p) - 3*t(p). Let u be j(-5). Is 2/(-5)*(-4 - u) even? True Let t(j) = -j**3 + 4*j**2 + 6*j - 1. Let h be t(5). Suppose -h*w - w - 3*c = -42, 0 = w + 2*c - 7. Is 9 a factor of w? True Let g = -131 - -243. Does 14 divide g? True Suppose 0*t = 2*o + 2*t - 664, -4*o + 1292 = -5*t. Is 24 a factor of o? False Let o(t) = -t - 10. Let x be o(-6). Let q be (-1)/4*2*30. Is 6 a factor of (x/10)/(1/q)? True Does 10 divide 1203*(-4)/(-60) + 2/(-10)? True Let k = -3 - -38. Suppose -5*c = -30 - k. Is c a multiple of 13? True Suppose -5*x - 25 = 0, -x = 4*h + h - 15. Suppose -h*l = -6*l + 46. Does 21 divide l? False Let o(r) = -r**3 + 8*r**2 - r - 3. Let z be o(8). Is (5 + -6)*(z - -1) a multiple of 4? False Let f(z) = 5*z**2 + 3*z + 1. Is f(2) a multiple of 9? True Suppose 6 = -2*u + 4*u. Suppose -2*b = -52 + 4. Let p = u + b. Does 19 divide p? False Let v = -10 - -12. Is (0 + 4)/(1/v) a multiple of 5? False Let s(q) = -q**2 - 7*q - 5. Let d be s(-6). Is d/3 - (-77)/3 a multiple of 13? True Suppose -2*w - 5*k = 1, -4*w = -0*k + 4*k + 8. Let q be 7/(-21) + 191/w. Let m = -45 - q. Is 19 a factor of m? True Suppose 2*b + 86 = 2*f + 18, 4*b = 0. Let s = f + -21. Does 11 divide s? False Suppose 0 = 2*x + 18. Let y be 6/x + 122/3. Suppose -3*v = v - y. Does 5 divide v? True Let j(h) = -2*h + 7. Let g(c) = -1. Let l(x) = -5*g(x) - j(x). Is 12 a factor of l(7)? True Suppose -4*r = r + 10. Let a = -4 - r. Does 8 divide (-8 + a)*(-8)/10? True Let w be (8/5)/((-4)/(-10)). Suppose -3*r + 4*h + 10 = 0, -w*r + 5 = -0*h + 3*h. Does 5 divide ((-10)/(-4))/(r/4)? True Suppose 5*q + 3330 = c, -q - 289 = 3*c + 377. Does 37 divide (-2)/(-3)*q/(-4)? True Let o be (-1400)/(-6) - (-2)/(-6). Suppose 3*w + o = 38. Let r = w + 109. Does 17 divide r? False Let o(g) = -g**3 + 12*g**2 + 5*g - 3. Is o(11) a multiple of 27? False Let l be (3 - 1)/(3/63). Suppose 5*w - l = 38. Is w a multiple of 7? False Let c(r) = 2*r - 1. Let d be c(3). Suppose -d*i = -10 - 15. Suppose i*s - 95 = -0*s. Is s a multiple of 6? False Let p = 19 - 15. Suppose -p = 4*n, -5*n = 2*u - u - 64. Is 23 a factor of u? True Let a = -9 + 2. Does 7 divide a*3/6*-2? True Let a(z) = z - 5. Let k be a(7). Is (3/k)/(1/12) a multiple of 7? False Suppose 0 = -5*l - 4*o + 3*o + 294, -4*o = 2*l - 114. Does 6 divide l? False Let t be 1/(3/6) + 63. Let s = t + -38. Suppose -4*r = -7*r + s. Is r a multiple of 3? True Let h be 6 + 1 - (3 + -1). Suppose 3*v = h*v - 132. Is 22 a factor of v? True Suppose 4*g = -2*g + 378. Suppose g = 4*r + 3*l, 5*r - 2*l = -4*l + 77. Is r a multiple of 3? True Let s be (0/(-8))/(1 - 0). Let m = s + 13. Is 10 a factor of m? False Let n(h) = h**2 + 3*h - 4. Let k be n(-4). Let i(t) = t**2 - t + 70. Is i(k) a multiple of 14? True Does 8 divide 21/(-6)*(-54)/3? False Let p(j) = -j - 2. Let l be (-6)/(1/2 + 0). Let x be (-3)/l - (-50)/(-8). Does 2 divide p(x)? True Let u(t) = -t**3 + 10*t**2 - 11*t - 4. Suppose 0*y + 24 = 3*y. Is 24 a factor of u(y)? False Let v(r) = r**2 - 2*r - 3. Let m(j) = j**3 + 9*j**2 + 7*j - 3. Let i be m(-8). Is v(i) a multiple of 9? False Let t = 11 - 6. Suppose t*b - 27 = -3*n, 6*n - n - 14 = 2*b. Suppose -141 = -4*f + b. Is f a multiple of 21? False Let u be 3/(-6)*(1 + -3). Is u/(-4) - 159/(-12) a multiple of 6? False Let m(f) = 3*f - 7. Let o be m(4). Suppose 2*k + o*u - 11 = 18, 5*k - 64 = -4*u. Does 3 divide k? True Let c be 2 + -4 + (-2 - 1). Let f(x) = x**3 + 6*x**2 + 3*x - 2. Is f(c) a multiple of 3? False Suppose 6 = -4*l - 2*i + 170, 3*l - 133 = -4*i. Does 11 divide l? False Suppose 0 = -3*i + 5 + 10. Suppose i*g = 4*j + j - 95, -5*j + 88 = 2*g. Does 9 divide j? True Suppose -29 = -z + 121. Is 30 a factor of z? True Suppose 3*o - 2*o - 95 = -3*i, -5*o - 2*i = -436. Does 43 divide o? T
{ "pile_set_name": "DM Mathematics" }
43921347 Calculate the common denominator of 1/153 and 37/5756472. 5756472 Calculate the least common multiple of 2851825 and 8783621. 219590525 What is the lowest common multiple of 3028136 and 8? 3028136 Calculate the smallest common multiple of 437250 and 4884. 32356500 Find the common denominator of -19/17394 and -37/29793. 172739814 What is the least common multiple of 24279046 and 16? 194232368 Find the common denominator of -111/199562 and 27/35122912. 35122912 Calculate the common denominator of -41/2170524 and 89/354. 128060916 What is the common denominator of 92/357 and 35/5837334? 694642746 What is the least common multiple of 18395292 and 1496? 404696424 Calculate the common denominator of -89/2390780 and -155/15061914. 150619140 Find the common denominator of -71/16048200 and 61/2625. 80241000 Calculate the common denominator of 11/27728 and -13/1288. 4464208 What is the common denominator of -22/36344619 and -23/96918984? 290756952 Calculate the least common multiple of 1665120 and 8. 1665120 Calculate the common denominator of 17/1661 and 43/25606. 42531566 What is the common denominator of 55/119132208 and 79/23164596? 833925456 What is the lowest common multiple of 13 and 22970? 298610 What is the common denominator of -103/21737328 and 93/22? 239110608 Find the common denominator of -103/7174988 and 5/236302. 78924868 Calculate the least common multiple of 4585464 and 441324. 188004024 What is the smallest common multiple of 81225 and 242100? 87398100 Calculate the smallest common multiple of 425350 and 10786876. 269671900 Calculate the common denominator of 23/4744 and -5/2719536. 1612684848 Calculate the lowest common multiple of 8866 and 953808. 136394544 Calculate the common denominator of -10/357177 and -101/355368. 631488936 Calculate the common denominator of 29/3192 and 119/1584. 210672 What is the least common multiple of 72 and 6627556? 119296008 What is the lowest common multiple of 1170 and 37938? 7397910 What is the least common multiple of 72972 and 591884? 5326956 Calculate the common denominator of -53/85501416 and 23/264. 85501416 What is the smallest common multiple of 117605232 and 96? 235210464 Calculate the lowest common multiple of 2380 and 1008270. 14115780 What is the smallest common multiple of 35795188 and 4840? 357951880 Find the common denominator of -83/45 and 8/2991159. 14955795 What is the common denominator of -103/22640 and 83/140? 158480 What is the smallest common multiple of 285 and 2229327? 11146635 What is the common denominator of 55/4732 and -28/454337? 165378668 What is the smallest common multiple of 24 and 1956960? 1956960 Find the common denominator of -7/43210095 and 37/129. 1858034085 Calculate the lowest common multiple of 158265 and 108855. 382843035 Calculate the lowest common multiple of 750 and 172650. 863250 Find the common denominator of -97/278256 and -49/55. 1391280 What is the common denominator of 86/1365 and 103/867165? 6070155 Calculate the lowest common multiple of 875 and 85848625. 600940375 What is the smallest common multiple of 510450 and 16164250? 48492750 Calculate the common denominator of -47/259787130 and -59/18022. 259787130 What is the lowest common multiple of 280826560 and 38984? 3089092160 What is the least common multiple of 25224444 and 87759? 176571108 What is the smallest common multiple of 9926570 and 46? 9926570 Calculate the lowest common multiple of 3503475 and 3198825. 73572975 What is the least common multiple of 31584 and 17568? 5779872 Calculate the least common multiple of 83 and 9715399. 9715399 Calculate the least common multiple of 2762040 and 21175640. 63526920 What is the common denominator of 38/351015 and -123/8500? 596725500 What is the common denominator of -37/16228 and 73/164? 665348 Calculate the lowest common multiple of 36 and 65095938. 130191876 What is the lowest common multiple of 36390 and 18495? 44868870 Calculate the lowest common multiple of 132 and 578360. 19085880 What is the common denominator of 119/10687212 and -43/188820? 53436060 What is the smallest common multiple of 427728 and 335? 2138640 Find the common denominator of -49/270 and 3/16535455. 892914570 What is the lowest common multiple of 268 and 419888? 28132496 Calculate the least common multiple of 693514 and 142938. 18724878 What is the smallest common multiple of 420591 and 210? 29441370 What is the least common multiple of 543088 and 23426? 489322288 Calculate the smallest common multiple of 720 and 93888. 469440 Find the common denominator of -109/3014244 and -37/944. 711361584 Calculate the common denominator of 85/4122612 and 5/3289. 45348732 Calculate the lowest common multiple of 985073074 and 20. 9850730740 What is the common denominator of -127/70 and -16/744555? 1489110 Find the common denominator of 35/936 and -11/4843908. 125941608 Calculate the smallest common multiple of 24 and 32116599. 256932792 Find the common denominator of -33/295921 and -45/1498. 443289658 Calculate the common denominator of 89/5610 and -73/1024080. 11264880 Calculate the lowest common multiple of 12022506 and 480. 961800480 What is the lowest common multiple of 11615532 and 8? 23231064 Calculate the lowest common multiple of 1274 and 20964. 13354068 Calculate the least common multiple of 3 and 42476621. 127429863 What is the smallest common multiple of 10160201 and 30480603? 30480603 Find the common denominator of 53/72435 and 71/49500. 21730500 What is the least common multiple of 250695 and 1420605? 4261815 Find the common denominator of -125/10602 and -31/5733. 6753474 Calculate the common denominator of 1/3826768 and -31/88. 3826768 Find the common denominator of -17/1980 and -47/261272. 11757240 Find the common denominator of 33/8562352 and 121/1517616. 693550512 Find the common denominator of -57/1237120 and 95/2195888. 87835520 Calculate the common denominator of 17/1330768 and -169/5489418. 43915344 What is the common denominator of 5/452 and -139/17781228? 17781228 Find the common denominator of -17/1821 and 149/2854884. 1732914588 What is the smallest common multiple of 53486160 and 477555? 53486160 What is the common denominator of 121/36 and 16/1874343? 22492116 Find the common denominator of 58/124635 and -87/700. 2492700 Calculate the lowest common multiple of 365190 and 315840. 11686080 What is the common denominator of 1/6577192 and 9/173084? 6577192 Calculate the smallest common multiple of 65 and 1047170. 13613210 Calculate the lowest common multiple of 93940 and 36652. 11178860 Calculate the lowest common multiple of 6423088 and 672. 38538528 Find the common denominator of 107/200 and 17/12491020. 124910200 What is the common denominator of -101/1524 and -76/660273? 2641092 What is the least common multiple of 8333552 and 3002? 8333552 What is the lowest common multiple of 6912 and 639488? 17266176 What is the common denominator of -91/192 and 79/22835824? 274029888 Calculate the least common multiple of 3311 and 10105645. 70739515 Calculate the lowest common multiple of 336 and 461184. 3228288 What is the smallest common multiple of 22 and 57689704? 634586744 Calculate the smallest common multiple of 2025 and 832320. 37454400 Calculate the lowest common multiple of 2397132 and 1198566. 2397132 What is the smallest common multiple of 38609480 and 30887584? 154437920 Calculate the common denominator of 103/588400 and -37/230. 13533200 What is the least common multiple of 60677805 and 4045187? 60677805 Calculate the lowest common multiple of 10517055 and 193513812. 967569060 What is the lowest common multiple of 23341521 and 29736? 560196504 Calculate the common denominator of 23/46522707 and -95/172626. 93045414 Calculate the common denominator of 115/53172 and -74/735. 1861020 Calculate the common denominator of 79/124936 and 79/1922800. 1305581200 What is the lowest common multiple of 11030820 and 632340? 99277380 Find the common denominator of -68/3924505 and 161/9418812. 47094060 What is the common denominator of 63/34 and -38/78310755? 156621510 Calculate the lowest common multiple of 1716 and 105714895. 1268578740 Calculate the lowest common multiple of 925050 and 4440240. 22201200 What is the least common multiple of 25938 and 10088703?
{ "pile_set_name": "DM Mathematics" }
692*a - 1 + 0 - 3*a**2. -3*a**2 - 18456*a - 1 Collect the terms in 3*s - 1039 + 1937 + 1375 + 2*s. 5*s + 2273 Collect the terms in 6348985*k - 6348985*k + 3*k**3. 3*k**3 Collect the terms in -11*v + 85*v**2 + 12*v + 582*v**3 - 14*v**2 - 655*v**3. -73*v**3 + 71*v**2 + v Collect the terms in -11 - 1 + 21*c - 3 + 7 - 282*c**2. -282*c**2 + 21*c - 8 Collect the terms in 2130121*z**2 + 19*z**3 - 48*z**3 + 2130120*z**2 - 4260241*z**2. -29*z**3 Collect the terms in 23*l**2 - 4*l - 24 + 24 - 47*l - 22*l**2. l**2 - 51*l Collect the terms in 1759925*a + 21127*a + 1318091*a + 97328*a. 3196471*a Collect the terms in -12949*n + 10 - 6 - 15309*n. -28258*n + 4 Collect the terms in 65*i + 1 + 2*i**3 - 2*i + 169*i - 38*i**2 - 4*i**3. -2*i**3 - 38*i**2 + 232*i + 1 Collect the terms in -3125*q**3 - 1632*q**3 - 1985*q**3 + 1640*q**3 - 1020*q**3. -6122*q**3 Collect the terms in -28 - 20 + 171*v**2 + 176*v**2. 347*v**2 - 48 Collect the terms in -13*d + 239*d + 157*d - 11 - 18*d + 42. 365*d + 31 Collect the terms in -39*g**2 + 2*g**3 + 183 + 7*g**2 - 43*g**2 - 3*g - 28*g**2. 2*g**3 - 103*g**2 - 3*g + 183 Collect the terms in 6 - 20*q + 5*q + 26*q - 20*q. -9*q + 6 Collect the terms in -8 - 1 + 1 + 1937*d + 9 - 948*d - 1002*d. -13*d + 1 Collect the terms in -4172127097614*h + 4172127097614*h - h**2. -h**2 Collect the terms in 33*k - 6*k + k + 51*k + 0*k - 6*k - 77*k. -4*k Collect the terms in -2065*q - 980*q**2 - 1687*q - 1448*q + 752*q. -980*q**2 - 4448*q Collect the terms in 2541*l**2 - 9*l + l - 8*l - 16*l. 2541*l**2 - 32*l Collect the terms in 636*l - 1975*l + 882*l + 753*l. 296*l Collect the terms in -2532653015*z + 2532653015*z - 7*z**2. -7*z**2 Collect the terms in 0*z**2 + 523186 + 2*z**2 - 545307. 2*z**2 - 22121 Collect the terms in -100231*y**2 + 50053*y**2 + 49608*y**2. -570*y**2 Collect the terms in -304 + 617 - 310 + 43827*y**2. 43827*y**2 + 3 Collect the terms in -269*u**3 - 181*u + 571*u**3 + 51*u - 284*u**3 + 54*u + 76*u. 18*u**3 Collect the terms in -5070*i**2 - 738071*i**3 + 5070*i**2. -738071*i**3 Collect the terms in -1638*c**2 - 3349*c**2 - 158*c**2. -5145*c**2 Collect the terms in -46596*i**3 - 46788*i**3 + 93725*i**3. 341*i**3 Collect the terms in -350005*l + 700598*l - 350588*l. 5*l Collect the terms in 20*n + 18*n - 77*n + 33*n + 7*n + 33*n. 34*n Collect the terms in -92*b**2 + 21*b**2 + 23*b**2 + 61*b**2 - 5*b - 2*b. 13*b**2 - 7*b Collect the terms in -3857 + 2*j**3 + 1895 + 1961 + 26*j**3. 28*j**3 - 1 Collect the terms in 232328*u + 232390*u - 464708*u. 10*u Collect the terms in m + m - 2608*m**2 - 670 + 2606*m**2 - 2*m. -2*m**2 - 670 Collect the terms in -599*a**2 - 595*a**2 - 588*a**2 - 610*a**2 + 2412*a**2. 20*a**2 Collect the terms in 626624504*b - 626624504*b + 1023*b**3. 1023*b**3 Collect the terms in -4400991*n + 9*n**2 + 4400991*n + 4. 9*n**2 + 4 Collect the terms in 6 + 2184*t**2 + 9 - 210*t**2 - 23. 1974*t**2 - 8 Collect the terms in 3*g + 499 - 1149 + 11*g + 22*g + 650. 36*g Collect the terms in -12*r - 20*r + 89*r - 28*r - 11*r - 13*r - 2. 5*r - 2 Collect the terms in -23463 + 23463 + 119*o. 119*o Collect the terms in -28362*r**2 + 684*r - 343*r - 4786*r**2 - 341*r. -33148*r**2 Collect the terms in 316003*u**2 - 316002*u**2 + 49 - 63. u**2 - 14 Collect the terms in -22*y - 26 + 124 - 98. -22*y Collect the terms in -7660*p + 3341*p + 4319*p - 22*p**3. -22*p**3 Collect the terms in -2900*y - 437 + 1933*y - 3539*y. -4506*y - 437 Collect the terms in -327 - 15*k + 327 + 89*k - 21*k - 21*k - 30*k. 2*k Collect the terms in 7959*z - 10268*z + 2308*z. -z Collect the terms in -5*o**3 - 2598*o**2 + 2*o + o**3 + 3*o**3 + o**3 + o**3. o**3 - 2598*o**2 + 2*o Collect the terms in 2671 + 320*j**2 + 2669 - 681*j**2 + 367*j**2 - 5340. 6*j**2 Collect the terms in -79 + 148 - 70 + 73*f + 44*f**2. 44*f**2 + 73*f - 1 Collect the terms in 18271*m**2 - 45649*m + 45649*m. 18271*m**2 Collect the terms in -n**2 + 76*n**3 - 7 - 7*n**3 + 176*n**3 + 386*n**3 + 1. 631*n**3 - n**2 - 6 Collect the terms in 70402*g + 229 - 229. 70402*g Collect the terms in 101*q**2 + 114*q**2 - 214*q**2 - 1616*q - 1 + 1. q**2 - 1616*q Collect the terms in 1183472*y + 7 - 11 + 4. 1183472*y Collect the terms in 7*s**3 - 92094605385*s - 40*s**3 + 92094605385*s. -33*s**3 Collect the terms in -715*b - 147 - 268 - 3 - 23*b. -738*b - 418 Collect the terms in 224*v**3 + 22894*v**2 - 22894*v**2 - 231*v**3. -7*v**3 Collect the terms in 154*g + 207*g - 650*g + 216*g. -73*g Collect the terms in 91 - 91 - 13166*x**2 - 5815*x**2. -18981*x**2 Collect the terms in -6348*r - 26588*r + 3558*r. -29378*r Collect the terms in 2 - 68113*s - 68189*s + 136297*s + 3. -5*s + 5 Collect the terms in -4 + 52*z**3 - 50*z**3 + 183377*z**2 - 183369*z**2 + 4. 2*z**3 + 8*z**2 Collect the terms in -174009*o - 1 + 1 + 138722*o - 425111*o. -460398*o Collect the terms in -96470*b**3 - 16566 + 33122 - 16556. -96470*b**3 Collect the terms in 649 - 326 - 4102*q - 323. -4102*q Collect the terms in 1837422*s**2 + 1837373*s**2 - 3674798*s**2. -3*s**2 Collect the terms in -283 - 198 + 1542*b + 1046 - 281 - 284. 1542*b Collect the terms in -39*v**2 + 9 + 7907*v - 16031*v + 8124*v. -39*v**2 + 9 Collect the terms in 6616*w**3 + 6575*w**3 - 19814*w**3 + 6544*w**3. -79*w**3 Collect the terms in 960*l + 7*l**2 - 481*l - 27 - 506*l. 7*l**2 - 27*l - 27 Collect the terms in -6*y**2 - 17*y**2 - 3*y**2 + 37*y**2 - 13*y**2 + 3*y - 16*y**2 - 8. -18*y**2 + 3*y - 8 Collect the terms in -25*v - 536*v**2 - 1 + 2*v - 2*v. -536*v**2 - 25*v - 1 Collect the terms in 367*m**3 + 60762*m - 60768*m - 713*m**3 + 376*m**3. 30*m**3 - 6*m Collect the terms in -20338*s + 40947*s - 20399*s - 2. 210*s - 2 Collect the terms in 990*a**2 - 328*a**2 - 374*a**2 - 203*a**2. 85*a**2 Collect the terms in 1428*j**3 - 539*j**3 + 1621*j**3 - 503*j**3. 2007*j**3 Collect the terms in -38762*u**2 - 4 + 72055*u**2 - 33296*u**2 + 4. -3*u**2 Collect the terms in 5*d - 102513547637 + 102513547637. 5*d Collect the terms in 3654 + 29*k**2 + k + 3659 - 7332 + 0*k**2. 29*k**2 + k - 19 Collect the terms in -48357*v**3 - 48323*v**3 + 96694*v**3. 14*v**3 Collect the terms in 15675*b**2 - 14518*b**2 + 11283*b**2 + 1 + 21443*b**2. 33883*b**2 + 1 Collect the terms in 197801 - 4*r**2 - 3*r**2 - 197801 + 7*r**2 + 26*r**3. 26*r**3 Collect the terms in -36*g - 34*g - 51*g - 38*g + 132*g. -27*g Collect the terms in 235*t**2 + 1059 - 537 - 513*t**2 - 524 - 761*t**2. -1039*t**2 - 2 Collect the terms in 5682*w**2 - 2842*w**2 + 37 + 12 - 27*w**3 - 2840*w**2. -27*w**3 + 49 Collect the terms in 0*u - 125 + u - 525 + 1174 - 524 - 5*u. -4*u Collect the terms in -89*u**3 - 83*u**3 + 250*u**3 + 178144*u - 79*u**3 - 178135*u. -u**3 + 9*u Collect the terms in -26 + 190 + 99 + s**2 + 141 + 731. s**2 + 1135 Collect the terms in 102574997*y - 51287492*y - 51287496*y. 9*y Collect the terms in u**2 - 14024990*u**3 + 7012492*u**3 - u**2 + 0*u**2 + 7012491*u**3. -7*u**3 Collect the terms in 1582*y + 2 - 21 + 19. 1582*y Collect the terms in 0*w**3 + 52 - w + 338415861*w**2 - w**3 + w - 50 - 338415861*w**2. -w**3 + 2 Collect the terms in 21 - 4 + 4088*f - 12 - 4085*f. 3*f + 5 Collect the terms in 66136 - 132284 - 8574*n + 66148. -8574*n Collect the terms in 9*f + 3316 - 1666 + 2*f - 1652. 11*f - 2 Collect the terms in 10 + 16 - 19410416*c + 9 - 35 + 19410463*c. 47*c Collect the terms in 693090*v**3 - 2*v**2 + 2*v**2 + 183498*v**3. 876588*v**3 Collect the terms in 76362*k - 5199 + 5199. 76362*k Collect the terms in 2*w**3 - 6264987*w**2 + 0*w**3 + 3132492*w**2 - w**3 + 3132495*w**2. w**3 Collect the terms in -36*f**3 + 14479883*f + 37*f**3 - 14479883*f. f**3 Collect the terms in 7*w**3 - 68*w**3 - 7*w - 26*w**3 + 7*w - 50*w**3. -137*w**3 Collect the terms in 154 + 159 - 492 + 30*k + 179. 30*k Collect the terms in -25522*q**3 - 36377*q**2 + 72754*q**2 - 36377*q**2. -25522*q**3 Collect the terms in 4100*a + 4103*a + 4101*a - 20506*a + 4104*a + 4103*a. 5*a Collect the terms in -40568259 + 40568259 - 68*u. -68*u Collect the terms in 1719 - 1720 + 50*f + 37*f - 32*f. 55*f - 1 Collect the terms in -251 - 712*y + 359*y + 251 + 354*y. y Collect the terms in 10619 - 22827*a - 10619. -22827*a Collect the terms in 905 + 4108*u**2 + 1200*u**2 - 1804 + 900. 5308*u**2 + 1 Collect the terms in -2970*c + 995*c - 7 + 991
{ "pile_set_name": "DM Mathematics" }
*4/12 - 7*c**3/6 + 3*c**2 + 2*c. Suppose 82 = -9*u + 19. Determine w(u). 6 Let x(l) = -2*l**2 + 682 - 309 - 382. Calculate x(0). -9 Let b = 340 - 336. Suppose 3*f - 9 = 5*d + 13, -b*f + 6 = -2*d. Let t(r) = 4*r**2 - r - 1. Calculate t(f). 4 Let w be 300/45*-3*16/(-20). Let b(j) = j**2 - 12*j - 18. Calculate b(w). 46 Let d(q) be the second derivative of -q**5/20 + q**4/6 + 5*q**3/2 - 17*q**2/2 - q - 24. Determine d(5). -17 Let y(k) = -k - 6. Suppose -14*r = -17*r - 15. Let f be 2*(50/2)/r. Give y(f). 4 Let w(r) = -r**3 - 20*r**2 - r. Let s(v) = 4*v**3 + 86*v**2 + 36*v - 3. Let g(i) = -s(i) - 5*w(i). Give g(-16). -13 Let k(h) = -h + 4. Let i(r) = -4*r - 9*r - 181 + 154. Let z be i(-2). Let t be -1 + (-6)/z*(-2)/4. Give k(t). 8 Let t(i) = -134*i - i**2 + 272*i - i**2 + i**3 - 137*i - 2*i**2 + 4. Determine t(3). -2 Let r(u) = -20*u + 123. Let h(s) = -84*s + 490. Let g(y) = -2*h(y) + 9*r(y). What is g(11)? -5 Let y(z) = z**2 + 7*z - 20. Suppose -41*l + 13693 = 13365. Give y(l). 100 Let b(g) be the second derivative of -g**3/2 + 28*g**2 + 4*g + 67. Give b(20). -4 Let p(y) = -y. Let g(s) = -10*s - 4. Let a(q) = g(q) - 8*p(q). Suppose -62*c - 1 = -1. Suppose c = 165*v - 151*v + 98. Give a(v). 10 Suppose -80*o = -79*o + 3. Suppose 0 = -4*x + 4*m + 60, 4*x = -3*m + 96 - 15. Let j be (x/(-4))/o*-2. Let u(k) = k**2 + 4*k + 3. Determine u(j). 0 Let v(t) = 11*t**3 - 3*t**2 + 4*t - 3. Suppose -3*a + 28 = -2*a + 13*a. Give v(a). 81 Let s(j) be the third derivative of 3*j**5/40 + 7*j**4/24 + 16*j**3 + 34*j**2 - j. Let a(f) be the first derivative of s(f). Calculate a(-2). -11 Let d(r) = r**2 + 11*r + 15. Let p be d(-10). Suppose -8*t + 53 = p. Let c(k) = -7*k + 3 - k + t*k - 1. Give c(-2). 6 Let u(b) = -14*b - 4*b**2 - 8*b**2 - b**3 - 2*b**2. Let q be u(-13). Let t = q + -7. Let c(g) = 3*g - 7. Calculate c(t). 11 Let b(n) = -2*n - 7. Let l(h) = -3*h - 20. Let a be l(-7). Suppose 8*x - a = 15. Let z be 5*(-2)/4*x. What is b(z)? 3 Let k be (-17 + 11)/2*-1. Let y(n) be the third derivative of -n**4/12 + n**3/6 - 2*n**2. Calculate y(k). -5 Let b(d) = -105*d + 560. Let x(p) = 19*p - 102. Let y(a) = 5*b(a) + 28*x(a). Determine y(7). -7 Suppose 11*l = -78 + 199. Let z(d) = -d - 5*d**2 - l + 0*d**2 - 2*d**3 + 11 + 3*d**3. Suppose -4*j = 4*b - 20, 0 = -2*j - b - 3 + 13. Give z(j). -5 Let g(y) = -3*y + 0*y + 12 + 5*y - 5*y + 2*y. Calculate g(11). 1 Let w(v) be the first derivative of -45 - 2*v + 3/2*v**2. What is w(-4)? -14 Let o(m) = 8540*m + 8539*m - 17092*m + 49 + 63. Determine o(7). 21 Let u(l) be the third derivative of l**4/3 - 14*l**3 - 4*l**2 - 17. Determine u(10). -4 Let u be (-6)/1 + (-20)/5. Let y = -4 - u. Let r = -3 + y. Let c(w) = -3*w + 3. Determine c(r). -6 Let p(q) = -25*q**2 + q. Suppose -89*a - 65*a = -154. Determine p(a). -24 Let f(k) = -3 - 12096*k + 6040*k + 6044*k. Give f(3). -39 Let g(j) = 7*j**3 - 12*j**2 - 38*j + 17. Let k(x) = 20*x**3 - 32*x**2 - 112*x + 50. Let p(y) = 17*g(y) - 6*k(y). Calculate p(-14). 17 Let t be 20/(-30)*-12 + (5 - 8). Let x(r) be the third derivative of r**5/60 - 2*r**3 + 23*r**2. Give x(t). 13 Suppose 0 = 3*i + 94*h - 99*h + 15, 0 = -i - 4*h - 39. Let t(n) = 6*n**2 + 89*n - 17. What is t(i)? -2 Suppose m + 5*j = -2*m + 65, -2*j - 22 = -2*m. Suppose 2*k = -3*k + m. Let r(i) be the second derivative of 5*i**3/6 + 3*i**2/2 - 1312*i. Determine r(k). 18 Let w(y) = y**3 - 22*y**2 + 35*y - 309. Let m be w(21). Let z(h) = 10*h + 136. What is z(m)? -14 Let b(j) = -5*j + 13. Let r(a) = 5*a - 14. Let c(o) = -8*b(o) - 7*r(o). Calculate c(-4). -26 Let w(d) = -23*d**2 + 7*d - 12. Let r(i) = 57*i**2 - 14*i + 26. Let n(y) = 2*r(y) + 5*w(y). Let k = -8 + 14. Determine n(k). -2 Let a(o) = 26*o + 1. Let s(m) = -m**3 - 10*m**2 - 45*m - 73. Let h be s(-3). What is a(h)? -25 Let j(g) be the second derivative of g**4/3 - 17*g**3/6 - 2*g**2 + 57*g + 13. Give j(5). 11 Let f be (3/2)/(-6 - (-1023)/176). Let a(m) be the third derivative of m**4/8 + 19*m**3/6 + m**2. Give a(f). -5 Let k(i) = -21*i + 119. Let m(p) = -p + 6. Let s(l) = -6*k(l) + 119*m(l). Let x be 2*(-2)/(-8)*(23 - -31). Suppose 16 = -x*z + 11*z. Give s(z). -7 Let k be 3/(6/(-1))*(3 - 9). Let z(j) = 11*j + 0*j - 7*j**2 - 22 - 11 + j**k. Let r be z(6). Let d(p) = p**3 + 2*p**2 - 3*p - 1. What is d(r)? -1 Let h = -21 - -23. Let s(w) = w**3 - 17*w**2 + 32*w - 19. Let z be s(15). Let k(b) = -z + h*b**3 + 7 + 5 + 8*b**3. What is k(-1)? -9 Suppose -4*b = 4*a + 12, 3*a - 1023*b + 14 = -1025*b. Let k(n) = -3*n - 2. Give k(a). 22 Let q(o) = -o**3 - 7*o**2 - 7*o + 4. Let y be q(-6). Let p(m) be the first derivative of -2*m**2 + 35*m + 137609. Give p(y). -5 Let n(r) = -22*r**2 - 5*r - 5. Suppose 113 = 738*u + 353 + 1236. Determine n(u). -83 Let n(w) = -3*w - 54. Let d be (-700)/(-35)*6*(-2)/16. Calculate n(d). -9 Let o(c) = -1 + 0 + 1 + c + c**2. Let b be (6/8)/(6/1416). Let u = b + -180. What is o(u)? 6 Let c(r) = 5*r + 1. Let q(y) = 21*y + 146. Let p be q(-7). Let x(i) = -5*i - 1. Let d(m) = p*c(m) - 4*x(m). Give d(3). 48 Let t(f) = f**2 + 8*f - 3. Suppose 82*a + 52*a = -13*a + 1029. Calculate t(a). 102 Let x(c) = 121*c - 401*c + 128*c + 15 + 151*c. Suppose -2*u + 12 = -4*o - 8, 3*u + 5*o + 25 = 0. What is x(u)? 15 Let t = -9721 + 9735. Let m(i) = -i**3 + 29*i**2 - 208*i - 31. Determine m(t). -3 Let y be (-4)/(-6) - (-21)/9. Suppose y*o + 11 = 17. Let u(p) = -6*p + 5. Let j be u(o). Let t(l) = l**3 + 7*l**2 - 3*l - 1. Determine t(j). 20 Let b = -8017 + 8025. Let n(c) = c**3 - 4*c**2 + 1. Let h be n(4). Let j(z) = b*z + h - 6*z - 6*z. Determine j(1). -3 Let i(r) be the second derivative of -r**4/12 - 7*r**3/2 + 41*r**2 + 322*r - 3. What is i(-24)? 10 Let o be -1389*8/6*12/48. Let d = -470 - o. Let x(w) = w**2 + 7*w - 9. What is x(d)? -9 Let h(w) = w**3 - 7*w**2 - w + 2. Let t = 151 - 143. Let s(b) = 13*b + 33. Let f(o) = 8*o + 22. Let z(x) = t*f(x) - 5*s(x). Let n be z(4). Determine h(n). -5 Let o(k) = 7*k**3 + 3*k**2 + 9*k - 33. Let d(u) = -u**3 + u**2 + 3. Let j(f) = 6*d(f) + o(f). Determine j(-8). -23 Let q(v) be the third derivative of -v**4/8 - 8*v**3/3 + 1264*v**2. Determine q(-10). 14 Let s = -1030 + 1036. Let t(f) = -f**3 + 4*f**2 + 12*f - 26. Calculate t(s). -26 Suppose -9 = -3*a - 3. Let b(y) = 3*y - 157. Let v(p) = 4*p - 236. Let z(n) = 3*b(n) - 2*v(n). Let i(k) = -5. Let r(t) = a*z(t) + i(t). Give r(3). 3 Let f(h) = 12*h - 26 + 6*h - 38*h + 10*h + 11*h. What is f(16)? -10 Let q(a) = -33*a - 7. Let l be q(-1). Let x(w) = -w**2 + 26*w + 16. Let p be x(l). Suppose p = -15*m - 14. Let u(h) = -12*h - 3. Determine u(m). 21 Let t(l) = -7*l - 10 + 3 + 3*l. Let w be t(-2). Let x(h) = -h**2 + w - 68*h + 32*h + 35*h. What is x(0)? 1 Let w(o) be the second derivative of o**5/20 - 7*o**4/12 + o**3 - 2*o**2 - 3*o. Suppose -34*b + 9 = -195. Calculate w(b). -4 Let h(j) = 6*j + 2*j - 3*j - 6 - 7*j. Let l be h(0). Let p(s) = -12*s**2 - 5 + 3*s + 5*s**2 + 8*s**2. Give p(l). 13 Suppose 30*y - 223 = 107. Suppose 5*o = v + 6, -4*v = -6*o + y*o - 51. Let f(l) = -l + 10. Determine f(v). 1 Let p(g) = -g**3 - 4*g**2 + 4*g + 6. Suppose -2*s + 0 = 2. Let o(c) = -3*c - 4. Let m be o(s). Let q be m - 1*4/(16/12). What is p(q)? -10 Let k(h) be the first derivative of h**4/4 + 2*h**3 + h**2 + 3*h - 2. Let i = 238 + -106. Let o = -138 + i. Determine k(o). -9 Suppose -8*h - 83 = -9*h. Let d = h + -82. Let f(g) be the second derivative of -g**4/2 - g**3/3 + g**2/2 + 15*g. Give f(d). -7 Let x(v) = 78*v - 619. Let g = 9891 + -9883. Give x(g). 5 Suppose -q - 28 = j - 26, 2*j + 6 = 0. Let n(d) = 9*d**3 - 4*d**2 + 5*d + 6. Let x(s) = -9*s**3 + 3*s**2 - 4*s - 5. Let y(p) = -5*n(p) - 6*x(p). Determine y(q). 10 Let x be 36 + -39 - (0 + -1) - 8. Let l(w) = 0*w**2 + 7 - 4*w**2 - 9*w + 3*w**2. What is l(x)? -3 Suppose 49 + 209 = -3*a. Let t = -75 - a. Let z be t/((-11)/10)*(-6)/10. Let n(m) = 2*m. What is n(z)? 12 Suppose -3*x - 2 + 11 = 0. Suppose 3*v + 45 = -x*z, -3*v - 5*z = 19 + 36. Let s(t) = t + 5. Give s(v). -5 Let q = 324144 + -324137. Let u = -1 - -6. Let y(s) = s**2 - 8*s - 2. Let z(l) = 2*l**2 - 17*l - 3. Let x(b) = u*y(b) - 2*z(b). Determine x(q). 3 Let b(x) = -10*x**2 + 8*x. Let c(p) = -p**2 - 2*p + 147. Let i be c(-13). Give b(i). -128 Let z = 27 + -15. Let a(t) = 4 + 2 + 11*t - z*t - 2. Let g(v) = -v**3 - 4
{ "pile_set_name": "DM Mathematics" }
e 24/20*541 + (-7)/35. Calculate the greatest common divisor of o and 59. 59 Let b be 36/(-12 - -6) - -51. Suppose 9 = s - 0. Calculate the greatest common divisor of s and b. 9 Suppose 8*u - 75 = 245. Suppose 91 + 29 = 2*b. What is the highest common factor of b and u? 20 Let i(c) = 4*c**3 + 2*c**2 - 4*c + 2. Let y be i(1). Calculate the highest common factor of 148 and y. 4 Let c = 11 - 7. Let f be 4/2 - (-2 - -1). Suppose 3*j = -2*p - 11, -f*j = -2*j + 5. What is the highest common divisor of p and c? 2 Let u = 29 - 63. Let j be u/(4/26 + 17/(-26)). What is the highest common factor of j and 17? 17 Let v(r) = -2*r**2 - 114*r - 35. Let g be v(-56). Calculate the greatest common divisor of g and 14. 7 Let a(g) = g**3 - 6*g**2 + 5*g - 21. Let n be (21/(-3))/((-2)/2*1). Let l be a(n). What is the highest common divisor of l and 7? 7 Let p be (1200/210)/(4/14). Let h be 15/(3/(-12) + 1). Calculate the greatest common divisor of h and p. 20 Suppose 7*z - 501 = 6*z - 3*y, 12 = -4*y. What is the highest common divisor of 30 and z? 30 Let i = 10 + -7. Let o(c) = c**2 - 7*c + 12. Let q be o(5). Suppose -18 = -i*n + q*n. What is the greatest common divisor of n and 12? 6 Let s(b) = -5*b + 15. Let z be s(8). Let y = 37 + z. Calculate the highest common factor of y and 2. 2 Let a = 110 - -19. What is the highest common divisor of a and 3? 3 Let h(w) = -5*w**2 - 3*w + 12. Let z be h(-6). Let v = z + 480. Calculate the highest common factor of v and 30. 30 Suppose 5*p - 13 = l, -9*p + 4*l + 2 = -14*p. What is the greatest common factor of p and 46? 2 Let a = 244 + -476. Let h be ((-18)/(-15))/(a/60 - -4). Calculate the greatest common divisor of 21 and h. 3 Suppose -i - 3*h = -18, -3*h = -2*i - i - 6. Suppose 0 = j - 2 + i, -5*u + 243 = -3*j. What is the highest common factor of u and 6? 6 Suppose 59 - 221 = -6*p. Suppose 23*j = p*j - 272. Let v(q) = -q**3 + 5*q**2 + q - 4. Let l be v(3). What is the greatest common factor of l and j? 17 Suppose 2*g = g - l + 45, -4*l - 12 = 0. Suppose -2*t + m + 20 = -3*m, -5*t + 4*m = -56. What is the highest common divisor of t and g? 12 Let a be 64 + (0 - ((-3)/(-1) + -2)). Let k = a + -47. What is the greatest common factor of 4 and k? 4 Suppose 19*a - 18 = 18*a. Suppose -3920 = -32*j + a*j. What is the highest common divisor of j and 28? 28 Let w be (-3)/9*-79 + 1/(-3). Let k = w - -13. What is the highest common divisor of k and 26? 13 Suppose 5*q = 15, 3*q = m + 5*q - 53. Let v be (-5 - 604/(-8))*2. What is the greatest common factor of m and v? 47 Suppose 9 = 4*d - 3. Suppose -d*r + 10 = -2. Calculate the greatest common factor of r and 20. 4 Let l be 2 - (27/(-6) - -1)*-4. Let a(z) = -11*z + 4. Let i be a(l). Calculate the greatest common factor of i and 17. 17 Let q = 55 - -17. What is the highest common divisor of 48 and q? 24 Let g be 5 - ((-10)/(-2) - 2). Suppose 0 = -g*k - 5*v + 45, -5*v - 45 = -5*k + 15. What is the highest common divisor of k and 45? 15 Let n be ((-4)/(-6))/((-14)/(-105)). Suppose -n*c - 5*p + 130 = 0, -3*c + 8*p = 3*p - 46. What is the greatest common factor of 55 and c? 11 Suppose 5*f = 2*v - 78, 3*v - 5*f - 192 = -70. Let m = 2 + -1. Let t be 9 + (m - -1) - 0. Calculate the greatest common divisor of v and t. 11 Suppose 5*w + 35 = 5*k, -w - 7 - 3 = -2*k. Let j be (-1)/k - 272/(-6). Calculate the highest common divisor of j and 18. 9 Let q = 1662 + -1529. Calculate the highest common factor of q and 1995. 133 Let j(h) = 2*h**2 + 25*h - 152. Let p be j(8). What is the highest common divisor of p and 286? 22 Let z be 8/20 + 4/(-10). Suppose -2*t + 4*t - 6 = z. Let q be (16/(-4) - -5)*1. What is the highest common divisor of t and q? 1 Let r be ((-264)/(-10))/4 + (-4)/(-10). Suppose -23 = -m + 5*b, 0 = -6*m + 3*m - b + 5. Suppose -29 = -m*c + r. Calculate the highest common factor of c and 6. 6 Let b(h) = h**3 + 13*h**2 + 13*h - 16. Let c be b(-10). Let g = -83 + 147. Let x = g - 42. Calculate the greatest common divisor of c and x. 22 Suppose 53*b + 15 = 58*b. Calculate the highest common divisor of 7 and b. 1 Let s(p) = -5*p**2 + 161*p - 18. Let t be s(25). What is the highest common factor of 36 and t? 18 Suppose -160 = -18*y + 14*y. Suppose 0*s - 28 = s. Let n = s + y. What is the greatest common factor of 12 and n? 12 Let b = -18 + 6. Let c = b - -15. What is the greatest common factor of 1 and c? 1 Let b be (72/54)/(8/186). Calculate the greatest common factor of b and 403. 31 Suppose -m + 3*m - 132 = 3*l, 0 = -4*m - 2*l + 296. Suppose 5*i + m = 8*i. Calculate the highest common divisor of 16 and i. 8 Let l = -7 - -17. Suppose -l*g = -3*g. Suppose -5*m + 3*o + 93 = g, o + 4*o + 5 = 0. Calculate the highest common divisor of 6 and m. 6 Suppose -3*d - 75 = -8*d - 5*g, 0 = 2*d + g - 30. Calculate the highest common factor of 15 and d. 15 Let d be 6*-26*30/(-72)*8. Calculate the greatest common factor of 320 and d. 40 Suppose 4*r - 6 = -14*u + 9*u, u + 6 = r. What is the highest common factor of 32 and r? 4 Let j = -31 - -4. Let h = 59 + j. Let m(w) = -w - 4. Let p be m(-20). What is the greatest common divisor of p and h? 16 Suppose 2*w = -2*d + 12, -4*d - 18 = -w - d. Suppose 5*t = -4 + w. Calculate the greatest common factor of t and 3. 1 Let i(t) = -8*t - 1. Let m(y) = -4*y - 1. Let g(l) = -3*i(l) + 5*m(l). Let s be g(11). What is the greatest common divisor of 14 and s? 14 Suppose 0 = 183*j - 198*j + 15. Let x(b) = b. Let v be x(1). Calculate the highest common divisor of j and v. 1 Let x be -11*(-1 - (0 + 0)). Let y = -45 - -72. Let l = 28 + y. Calculate the highest common factor of x and l. 11 Let i be (2 + 2)*(-1)/2. Let y be ((-4)/(-8))/(i/(-16)). Suppose -33 = -7*a + y*a. Calculate the greatest common factor of a and 55. 11 Suppose -5*p + 5 = 0, 3*p + p + 4 = 2*k. Suppose -k*i = i - 275. Let z be (66/9)/((-2)/(-3)). What is the greatest common divisor of z and i? 11 Let j be 3*-1 + 2 + 25. Let i(x) = x**3 + 8*x**2 + 14. Let u be i(-8). Let s = j - u. What is the highest common factor of s and 10? 10 Let d(u) = 250*u**3 - 1. Let n be d(1). Let g be n/6 + 12/(-8). What is the greatest common factor of g and 8? 8 Let r be (-14)/(-42) - ((-164)/3 - 0). What is the highest common divisor of r and 11? 11 Let g(w) = w**2 + w - 3. Let s be g(-3). Let x = s + 19. Suppose -3*y - 3*c = -21, 5*c - 21 = -2*y + 8. Calculate the highest common factor of y and x. 2 Suppose 0 = 3*c - 4*n - 10, -5*c + 37 = 5*n - 38. What is the highest common factor of 14 and c? 2 Suppose j - 27 - 24 = 0. Let a = j - 16. Suppose -y - 5 + a = 0. Calculate the highest common divisor of 6 and y. 6 Let j(f) = 12 + 25*f - 5*f**2 - 6*f + f**3 + 14 + 25*f**2. Let h be j(-19). Calculate the highest common factor of h and 13. 13 Suppose 3*f - 7*f = 5*a - 13, 4*f = 4*a - 32. Suppose m - 60 = -4*u, -a*u - 2*m = m - 68. What is the greatest common factor of u and 4? 4 Let q(c) = c**3 - 7*c**2 + 11*c - 4. Let y be q(5). Let u be (-15)/(y/4*-3). What is the highest common divisor of 80 and u? 20 Let c = -228 - -229. What is the greatest common factor of c and 21? 1 Suppose 784 + 962 = 3*t. Calculate the greatest common factor of 12 and t. 6 Let q(a) be the first derivative of a**2/2 - 14*a + 3. Let u be q(22). Calculate the greatest common factor of 20 and u. 4 Let q(o) = -41*o - 98. Let g be q(-4). What is the greatest common divisor of g and 297? 33 Let c(w) = -w**2 + 10*w - 7. Let g be c(10). Let i(k) = -k**2 - 8*k + 5. Let x be i(g). Let t = 3 + 0. What is the highest common divisor of x and t? 3 Let o(c) = -c**2 + 9*c - 5. Let d be (0 + 2)*7/2. Let i be o(d). Let v be 0 + (-1)/1 + 2. Calculate the highest common factor of i and v. 1 Let b be (1*3/15)/(2/10). Suppose -5*t + 5*r = 5, -3*r - 1 + 10 = -t. Calculate the highest common divisor of b and t. 1 Let o(x) = 9*x**2 - 4*x + 1. Let l be o(4). Suppose -3*p + l = 3. Suppose -6*f - 54 = -138. Calculate the highest common factor of f and p. 14 Suppose -1424 = 15*o + 451. Let v = o - -164. Calculate the greatest common divisor of v and 13. 13 Let n(x) be the first derivative of 2*x**3/3 - 8*x**2 + 42*x - 18. Let l be n(8). Calculate the highest common divisor of 6 and l. 6 Let q be ((-112)/21)/(2/(-9)). Suppose 3*r + 0*j - q = j, -j = 3*r - 24. What is the highest comm
{ "pile_set_name": "DM Mathematics" }
/7) Simplify d/((d/d**(-3/16))/d)*d**25*d assuming d is positive. d**(429/16) Simplify ((y/(y*(y*y**(-1/6)*y)/y))/(((y*y/(y/(y/(y**(-2)*y)))*y)/y)/y))**(-17/5) assuming y is positive. y**(289/30) Simplify (m**1)**41/(m*m/(m/(m*m/m**5*m))*m*(m/m**(-2/5)*m)/m) assuming m is positive. m**(198/5) Simplify (((b*(b/b**(-7))/b)/b)/((b*b**(-2/7))/b))/(b**(-1/4))**(-2) assuming b is positive. b**(95/14) Simplify (c**(2/9)*c*c/(c**2*c))/((c*c/c**(-6))/(c/((c*c/(((c/((c/(c*c*c*c/(c*c**2)*c))/c)*c)/c)/c)*c*c)/c))) assuming c is positive. c**(-79/9) Simplify (x**(-2/21)/(x*(x*x**(-11))/x*x))**27 assuming x is positive. x**(1683/7) Simplify t**(-5)*t*t*t**(2/7)*t**8/(t*t**(-5)) assuming t is positive. t**(65/7) Simplify ((f*f*f/(f**0/f))**(-24))**(-2/11) assuming f is positive. f**(192/11) Simplify d**16/d**(2/5) assuming d is positive. d**(78/5) Simplify (m/(m/((m**(-2/41)/m)/m*m))*m)/m*m*m**(4/5) assuming m is positive. m**(154/205) Simplify (m**4*m**1/m)/(m**(-4)/(m/(m*m**1*m*m)*m)) assuming m is positive. m**6 Simplify (x**(-1)*x)**(7/8)*x**5/(x**5*x*x*x) assuming x is positive. x**(-3) Simplify ((z**(3/2)/z)/(z*z**(-4)*z))/(z*((z/((z/z**(-2/7))/z))/z*z*z)/z*z/(z/z**(-2/11))) assuming z is positive. z**(149/154) Simplify (a*a*a**(2/3)*a)/(a**(-8)/a)*a**(2/3)*a*((a/a**(-9))/a)/a assuming a is positive. a**(67/3) Simplify (k/(k*k**23))**(-37) assuming k is positive. k**851 Simplify k**(-2/13)/k*k*k**(-2/5) assuming k is positive. k**(-36/65) Simplify (t**(2/3)*t)**1 assuming t is positive. t**(5/3) Simplify ((j/((j/j**(1/5))/j))**(1/70))**(10/11) assuming j is positive. j**(6/385) Simplify (u/u**(-3/7)*u**(-11)/u)/((u*u/(u*u/(u**5/u*u)))/(u**(-9)/u)) assuming u is positive. u**(-179/7) Simplify ((q*q/((q*q**(-1/3))/q))**(2/53))**(-32) assuming q is positive. q**(-448/159) Simplify ((l*l**9)**(-26))**(-2/11) assuming l is positive. l**(520/11) Simplify ((n/(n*n**4))/(n/(n/(n/(n/(n/((n/(n**(3/11)*n))/n)))))))**(2/65) assuming n is positive. n**(-138/715) Simplify (x**(-5)/(x*x**(2/5)*x))/(x/(x*x**1*x))**37 assuming x is positive. x**(333/5) Simplify (c*c**(-3/14)*c*c**7/c)**(6/17) assuming c is positive. c**(327/119) Simplify (((x/(x/x**(-4)))/x*x)/(x**(-1/5)/x*x*x))/(((x**(1/3)/x)/x)/x)**(-20) assuming x is positive. x**(-872/15) Simplify (b**(-3)/(b*(b**3/b)/b*b))/((b**2/b)/(b*b*b/(b*(b*b**2)/b*b*b))) assuming b is positive. b**(-9) Simplify (y**(-2))**29/(y*y/y**(1/2))**14 assuming y is positive. y**(-79) Simplify v**(1/12)*v*v/(v*v**16) assuming v is positive. v**(-179/12) Simplify (y**3/y*y*y**(-6)*y)/(((y/((y**4/y)/y))/y*y)/y**(-8)) assuming y is positive. y**(-9) Simplify (n*n*n**(-1/3)*n)**(2/5)*n**5*n**(-3/4)/n assuming n is positive. n**(259/60) Simplify f**(-5)/f*f*f/(f*(((f*f*f/(f/(f/(f/(f*f/f**(-4)))))*f)/f*f)/f)/f) assuming f is positive. f**(-12) Simplify (b*(b/b**1)/b)/(b*b**(4/11)) assuming b is positive. b**(-15/11) Simplify (s/(s/(s/(s*s/((s**5/s)/s))))*s**(1/4))**(9/7) assuming s is positive. s**(81/28) Simplify (y/y**(2/5))**(-12)*((y**(-1)*y)/y)**(-9) assuming y is positive. y**(9/5) Simplify (v**5/v*v)**(2/117) assuming v is positive. v**(10/117) Simplify (p*p**(-2/5))**(-4/3) assuming p is positive. p**(-4/5) Simplify ((m/(m/(m/m**6))*m)/m**10)/((m/m**(-9/2))/m**(1/6)) assuming m is positive. m**(-58/3) Simplify n/n**(-14)*n**(-7/2) assuming n is positive. n**(23/2) Simplify (w/w**(1/3)*w/w**(-2/3))**(-15) assuming w is positive. w**(-35) Simplify (c*(c*c**(1/12)*c)/c)/((c/c**(-13))/c) assuming c is positive. c**(-131/12) Simplify (c**1*c)/(((c/c**(-4))/c)/c)*((c**4*c)/c*c)/(c*c/(c/(c/c**(-4))*c)) assuming c is positive. 1/c Simplify k**(1/11)*k*k**(6/17) assuming k is positive. k**(270/187) Simplify (f**(-1)/(f/(f*f**(3/5)*f)))/(f*f*f**(-2/13)*f*f*f/(f**0*f)*f) assuming f is positive. f**(-276/65) Simplify ((u/(u*u**(-1)*u)*u)/((u*u**(1/11))/u))/(u**(-2/5)*(u*u**1*u)/u*u) assuming u is positive. u**(-93/55) Simplify ((x*x**(1/10))/x)**(-5/11) assuming x is positive. x**(-1/22) Simplify ((u**(1/5))**(17/2))**(5/6) assuming u is positive. u**(17/12) Simplify ((z/(z*z*z**(1/3)))/z*z**(-4))/(z**(-1/2))**(-5/12) assuming z is positive. z**(-157/24) Simplify (k/(k/k**(-1)*k))**(19/5) assuming k is positive. k**(-38/5) Simplify (m/(m/((m/(m/(m**(1/8)/m)))/m*m)))/(m/(m*m/(m**(1/7)/m))*m) assuming m is positive. m**(-1/56) Simplify l**(-2)*l**(2/11)*l*l assuming l is positive. l**(2/11) Simplify y**(-1/4)*y**(-5)*y**(-3)/(y**3/y) assuming y is positive. y**(-41/4) Simplify (o**(3/4))**(5/9)*((o/(o*o/(o/o**(-1/4))))/o)**43 assuming o is positive. o**(-191/6) Simplify (q**7/q*q**(-1/6))**23 assuming q is positive. q**(805/6) Simplify (m*m**1)/m*m/(m/m**(1/2))*m**(2/7)/m*m/m**(-3) assuming m is positive. m**(67/14) Simplify s**0/(s**(-5)*s)*(s**(-1/11)*s)/(s*s*(s/(s**(-10/9)/s))/s) assuming s is positive. s**(79/99) Simplify (d*d**(14/5))**(-9/13) assuming d is positive. d**(-171/65) Simplify r*r**(-48)*r/(r/((r/((r*r*r**(-46)*r)/r))/r)*r) assuming r is positive. r**(-4) Simplify ((r**(-1))**(2/39))**(-3) assuming r is positive. r**(2/13) Simplify n**13*n*n**(-14) assuming n is positive. 1 Simplify w**(-2/19)/w*w/(w**(-1/4)*w)*w/(w/((w**(-9)/w)/w))*w*w**(-4/9) assuming w is positive. w**(-7729/684) Simplify (c*c/((c/((c/c**(1/3))/c))/c))**(1/7)*(c**(-7)*c)/(c*c/c**(-5/3)*c*c) assuming c is positive. c**(-80/7) Simplify (q*(q*q**9)/q*q**(1/7))/(q*q**(-3))**7 assuming q is positive. q**(169/7) Simplify p**(-2/43)/p**0 assuming p is positive. p**(-2/43) Simplify (y/(y/(y**(4/9)*y)*y))/(y/((y/y**(-3)*y)/y)) assuming y is positive. y**(31/9) Simplify (j**(1/3)*j)**(-21)*j**(-3)/(j/(j*j**4*j)) assuming j is positive. j**(-26) Simplify j/j**(-4/3)*j**(3/4)/j*j**(-8)*j**(1/5) assuming j is positive. j**(-343/60) Simplify (z**(-3)*z*z**(-15)*z)**47 assuming z is positive. z**(-752) Simplify ((v/((v*v**(-4/7))/v)*v)/(v/(v*v**0)))/((v*v*v*(v/v**(-2/5))/v)/v)**15 assuming v is positive. v**(-234/7) Simplify (g**2/g)**21*(g/(g*g**(-2)))/g**7 assuming g is positive. g**16 Simplify (j/j**3*j**(-6))**(-24) assuming j is positive. j**192 Simplify (s*s/(s/(s*s/s**(-2/9)*s*s))*s*s*s)**(-19) assuming s is positive. s**(-1406/9) Simplify (o**(6/11)/o)/(o*o**5) assuming o is positive. o**(-71/11) Simplify o**(-6)/(o*o*o**7*o) assuming o is positive. o**(-16) Simplify (y**0/((y/y**(-1/6)*y)/y*y*y))**(3/11) assuming y is positive. y**(-19/22) Simplify (s**(-1/2)/s**1)**16 assuming s is positive. s**(-24) Simplify s**(3/4)/((s/(((s*(s*s*s**(2/9)*s)/s)/s)/s))/s) assuming s is positive. s**(71/36) Simplify (g**(3/5)*g*(((g/(g/(g/(g*(((g/((g/g**(-4))/g*g))/g)/g)/g)))*g)/g)/g*g)/g)**(1/12) assuming g is positive. g**(19/30) Simplify h/h**(-15)*h*h*h/((h**(-2/25)*h)/h) assuming h is positive. h**(477/25) Simplify ((l**(3/10)*l)/l)/(l/(l/(l/(l*l/(l/(l*l*l**(2/3)))*l)))) assuming l is positive. l**(119/30) Simplify (i*i/i**(-2/3))**(-7/5) assuming i is positive. i**(-56/15) Simplify (j**6/(j/j**3*j))/(j/j**(1/4))**(-28) assuming j is positive. j**28 Simplify k**(-20)*k**(-8)*k assuming k is positive. k**(-27) Simplify (w**3/w)/(w**18/w) assuming w is positive. w**(-15) Simplify (((d/(d**0*d))/d)/d*d**(-6))**30 assuming d is positive. d**(-240) Simplify a/(a/a**4)*a/(a/(a/(a*a*a*a*a/(a**(-6/5)/a))))*a assuming a is positive. a**(-6/5) Simplify p*p/p**(-1/11)*p**6*p*(p**(-3)*p)/p**(-5/6) assuming p is positive. p**(523/66) Simplify z*z*z/(z**(-20)/z)*z*z*z*z/((z*z/(z/z**(2/3)))/z) assuming z is positive. z**(82/3) Simplify q**19*q/((q/(q**(-38)/q))/q) assuming q is positive. q**(-19) Simplify ((g*g/(g**(-5/6)/g))/g**(-1/2))**(1/16) assuming g is positive. g**(13/48) Simplify (q/q**(2/65))/((q**(-2/23)*q)/q) assuming q is positive. q**(1579/1495) Simplify (f/(f/f**(6/7))*f)**(-14) assuming f is positive. f**(-26) Simplify (p*p/p**(-2)*p**(-5))/(p**(1/3))**(-3/14) assuming p is positive. p**(-13/14) Simplify ((f**7)**46)**37 assuming f is positive. f**11914 Simplify (y/(y**(-3/13)*y))/y**(1/3)*y**7/(y*y/y**(7/4)*y) assuming y is positive. y**(881/156) Simplify b**(-20)/b**(-1/11) assuming b is positive. b**(-219/11) Simplify ((h*h/(h**5/h))/h**(-4))**(-2/11) assuming h is positive. h**(-4/11) Simplify (y*y/(y*y**(1/11))*y)**(-2/47) assuming y is positive. y**(-42/517) Simpli
{ "pile_set_name": "DM Mathematics" }
3*h - 8*h) in the form n*h**2 + p + w*h and give p. 0 Express -t - 2*t + 5 + 3*t + 6*t**2 + 3 in the form i + g*t**2 + c*t and give i. 8 Rearrange 3*j - 6*j**3 + 2*j**3 - 4*j - 10*j**3 - 2 - j**3 to the form t + w*j**3 + c*j + i*j**2 and give t. -2 Rearrange (50*i - 52*i - 130*i)*((3 - 3 - 2)*(-2 + 1 + 0) + 0 - 2 + 1)*(0 + 3 - 2) to the form q + y*i and give y. -132 Rearrange (172*q**2 + 2*q**4 - 55*q**2 + 83*q**2)*(1 + 4 - 3) to k*q**4 + n + g*q**3 + v*q + s*q**2 and give k. 4 Express -334*z**2 + 146*z**2 + 0 + 1 in the form y*z + u*z**2 + m and give u. -188 Express 8*s - 6*s - 4*s**3 + 7*s**4 - 13*s**4 - 31 + 28 as y + u*s**2 + d*s**4 + j*s + k*s**3 and give y. -3 Express 15303 + s**2 - 2*s + 2*s**3 - 15301 + 3*s + 19*s**4 as d*s**2 + n*s**4 + z*s**3 + l*s + f and give l. 1 Express (-6*n**2 - n + n)*(1 - 6 + 3) + 39*n**2 + 523 - 523 in the form l + t*n + i*n**2 and give i. 51 Rearrange -3*c + 4*c**2 + 3*c + (3*c**2 + 17 - 17)*(3 + 1 - 3) + (-3*c**2 + 0*c**2 + 2*c**2)*(2 - 2 - 3) + 2*c**2 - 4 + 4 to r*c + g*c**2 + k and give g. 12 Rearrange (11 + 1 + 0)*(-2 - 2*z + 2)*(-4 + 3 - 1)*(9 + 1 - 3) to r + n*z and give n. 336 Express 56*a**3 + 768 - 768 + (0 - a + 0)*(-5*a**2 + 4*a**2 + 2*a**2) - 2*a**3 + 3*a**3 + 2*a**3 as y*a**2 + j + g*a + t*a**3 and give j. 0 Rearrange -4*c**3 + 13*c**3 + 7*c**3 - 5344 + 5342 - 2*c to the form d*c**2 + r + h*c**3 + t*c and give t. -2 Rearrange 16*i**2 - 20*i**2 + 6*i**2 + 137*i**4 + 1 to b*i**4 + c*i + t*i**3 + d*i**2 + w and give w. 1 Express (10064 + 450*i - 10064)*(0 + 0 - 1 + 1 - 2 - 1 + (3 - 2 - 2)*(-3 + 2 - 1)) as j + h*i and give h. -450 Express (-1 + 2*f + 1)*(4 + 1 + 0)*(0 - 4 + 5)*(-2 + 1 + 4) - 4*f + 6*f - 3*f in the form l*f + v and give l. 29 Express (97*k - 98*k + 3*k**2 - 5*k**2 + 14)*(-4*k + 5*k - 2*k) + 4*k**3 + 0*k**3 - 5*k**3 as h*k + z*k**2 + j + u*k**3 and give j. 0 Express -11*b**4 - 85*b**3 - 4*b**2 + 0*b + 10*b**4 - 2 + 3*b + 86*b**3 as y*b + a + f*b**3 + h*b**2 + r*b**4 and give f. 1 Rearrange -153*u**3 - 148*u**3 - 3 - 9*u**2 + 298*u**3 to the form f*u**3 + l*u**2 + c*u + v and give v. -3 Express (3*y + 0 + 0)*(0*y**2 - y**2 - y**2) - 582 + 582 + 343*y**3 in the form t*y**2 + p*y + f + n*y**3 and give n. 337 Express (-41 + 2*b + 36 - 15*b)*(-2*b**2 + 5*b**2 - 2*b**2) as v + i*b + k*b**2 + x*b**3 and give i. 0 Express -29*q**3 - 32*q**3 + 59*q**3 - 58*q as g + n*q**3 + y*q**2 + w*q and give n. -2 Express -21 + v**4 + 2*v - v - v**2 - 7*v**2 + v**4 + 6*v**2 - v**3 as p + k*v**4 + d*v**3 + b*v + l*v**2 and give l. -2 Rearrange 155 + 13*p**2 + 3*p**2 - 10*p**2 - 5*p**2 + (-2*p**2 + 4*p**2 + 0*p**2)*(0 - 2 + 3) to the form s + i*p + l*p**2 and give s. 155 Express 686*j**2 + 91*j - 4 - 688*j**2 + 4 as p*j**2 + k + c*j and give p. -2 Rearrange -32*s**2 + 9 + 3*s**3 + s - 19*s**4 - 9 + 22*s**4 to f*s + l*s**4 + z*s**2 + u + v*s**3 and give f. 1 Express (3 + 0 - 5)*(-2 + i + 2) - 7*i - 20*i - 5*i + (-2 - 1 + 1)*(-i - 6*i + 2*i) in the form g + j*i and give j. -24 Express (13*u - u + 1 - 3*u)*(1 - 1 + 3*u**2) + (u**3 + 0*u**3 + u**3)*(-4 + 1 - 1) as m + g*u + k*u**3 + o*u**2 and give k. 19 Rearrange 61*s**2 - 75*s**2 + 3*s + 26*s**2 to k + d*s + i*s**2 and give i. 12 Rearrange (55*b - 55*b - 10*b**2)*(-65 - 39 + 39 - 44 - b) to the form l*b**2 + x*b + w*b**3 + m and give l. 1090 Express 80*z**4 + 1 + 1 - 9*z**3 + 20*z**4 + z + 7*z**3 + 226*z**4 as k + p*z**2 + c*z**4 + o*z + h*z**3 and give h. -2 Express -3*o**3 - o**3 + 45 - 43 - 2*o**2 as s*o + r + z*o**2 + c*o**3 and give z. -2 Rearrange -2*c**3 + 4*c**2 - 2*c**2 + 0*c**2 - 1 - 25 + 24 to the form k + p*c**3 + r*c + o*c**2 and give p. -2 Express (5*y - 3*y - 4*y)*(-2 - 1 - 4)*(253 + 321 - 265)*(4 - 2 + 0) as j*y + c and give j. 8652 Rearrange 228*j - 7*j**3 - 24 - 229*j + 68 to c + k*j + s*j**3 + w*j**2 and give c. 44 Rearrange (-3 + 9*u + 3)*(-20 + 7 + 11)*(-3*u + u + 0*u) to the form r*u**2 + a*u + z and give r. 36 Rearrange -p**2 - 2*p**2 + 3*p**2 + 16*p**4 + p**3 + 364 - 20*p**4 to s*p**4 + z*p**2 + m + f*p + x*p**3 and give m. 364 Rearrange 41*a + 26*a - 3 + 3 + 47*a + (2*a - 4*a + 0*a)*(-1 + 1 + 1) to i*a + d and give i. 112 Rearrange -3*u + 42*u**3 - 2 - 42*u**3 - 131*u**3 + 0 + 2*u to the form i*u**3 + a*u**2 + y + c*u and give y. -2 Express (34 + 8*k - 34)*(-42*k**2 - 1149*k + 1149*k)*(2 - 3 - 1) as y + f*k**2 + i*k + u*k**3 and give u. 672 Rearrange 3*h**2 + 96 + 559*h**4 - 275*h**4 - 282*h**4 to the form x + s*h + j*h**4 + l*h**2 + c*h**3 and give x. 96 Rearrange 111 - 2*d**3 - 57 - 67 - 3*d**4 + (-2*d + d**2 + 2*d)*(0 + 2*d**2 + 0) to the form q*d**3 + j + k*d**2 + i*d + u*d**4 and give j. -13 Express 2*t**4 + 3 - 1 - 59*t**2 + 25*t**2 + 40*t**2 - 3*t in the form v*t + s*t**4 + d*t**3 + o*t**2 + b and give v. -3 Rearrange (a - 2*a + 4*a)*(86 - 13 + 34) to the form r*a + i and give r. 321 Rearrange -114*y - 216*y + 23*y - 39*y to a + f*y and give f. -346 Express (-16 + 22 + 18 + (1 - 1 - 1)*(2 - 5 + 1))*(-195 - 57*i + 195) as m + z*i and give z. -1482 Express (-6*o - 4*o + 4*o)*(-4*o**2 - 5*o + 5*o)*(-201 + 201 - 7*o) in the form h*o**3 + p*o**2 + y*o + i*o**4 + g and give i. -168 Rearrange -1 + 4*t + 5*t**4 + 4*t**4 + 2*t + 24*t**2 - 10*t**4 to k*t**3 + y*t**2 + p*t**4 + o + x*t and give x. 6 Rearrange (81*k**3 + 2*k**2 - 45*k**3 + 19*k**3)*(-4*k - 1 + 1) to the form b*k**2 + t*k**4 + n*k + q*k**3 + w and give q. -8 Rearrange ((5 + 2 - 5)*(-5 - 2 + 5) - 1 + 1 + 1)*(0*p + 0*p - p**3) + (3 + p**2 - 3)*(-21*p + 591 - 591) to j*p**2 + q + y*p + v*p**3 and give v. -18 Rearrange -9*d + 14 + 0*d - 13 + (0 + 3 - 1)*(3 - 4*d - 3) to g*d + h and give h. 1 Rearrange (-4*z**2 + 0*z**2 + 2*z**2 - z**3)*(60 - 34 - 35 - 11*z) to the form f*z + p*z**3 + i*z**2 + x*z**4 + s and give p. 31 Express 149*c + 100*c - 61*c as f + r*c and give f. 0 Express (2*k + 0*k + 2*k)*(4*k - 2*k - k) - 5*k**2 + 5*k**2 + 3*k**2 - 2*k in the form a*k**2 + h + y*k and give y. -2 Express 0*i - 3*i + 7*i + (3*i + 5*i - 6*i)*(0 - 2 + 4) - 2*i + 3*i + 0*i + (0*i + 2*i + 0*i)*(-1 - 2 + 2) in the form p*i + a and give p. 7 Rearrange (90250 - 4*z**2 - 90250 - 35*z)*(z - 1 + 1)*(21 - 21 + 12*z) to the form b*z + s*z**2 + k + n*z**3 + y*z**4 and give y. -48 Express 240*g**3 - 121*g**3 - 21*g - 125*g**3 in the form c + n*g**3 + w*g**2 + b*g and give w. 0 Rearrange (-22 - 28 - 2*z - 12)*(7 - 16 + 4) to t + w*z and give t. 310 Express -3*l**3 - 2*l**4 + 0*l**3 + 12*l - 5*l - 2*l**2 - 9*l in the form u*l**2 + j*l**3 + x + t*l**4 + z*l and give t. -2 Express -5*y**2 + 5*y**3 - 27*y + 24*y + 2*y in the form i*y**3 + l + m*y**2 + c*y and give m. -5 Rearrange -5 - 151*o**2 + 3*o**2 + 7 - o**2 to i*o**2 + w + k*o and give w. 2 Express (-n - n + n)*(-5 + 2 + 2)*(-3 + 3 - 11*n) + 8 + 1 + 3*n**2 - 6*n**2 in the form l + v*n**2 + q*n and give l. 9 Rearrange -7*x**4 + 6*x**4 + 1018*x**3 - x**2 + 3*x - 1017*x**3 to the form t*x**2 + o + q*x**3 + h*x + l*x**4 and give q. 1 Express -37*v + 38*v - 76 - 1 - 2*v**2 as t*v + z + i*v**2 and give t. 1 Express 747*p + 7 + 4 - 10 - 1 in the form h + f*p and give f. 747 Rearrange (-k - k + 3*k)*(-6*k**2 + 3*k**3 + 6*k**2) - 2*k**2 + 17*k**4 + 76*k**3 - 76*k**3 to the form u + j*k + r*k**2 + a*k**4 + y*k**3 and give r. -2 Rearrange 285 + 222*k - 285 - k - 3*k + 5*k + 0*k - k + 3*k + (-4 + 3 - 1)*(-k + 2*k - 3*k) + 3*k - k - 4*k + 4*k - 14*k - 7*k to l*k + r and give l. 210 Rearrange -21*s - s**3 - 5*s - 7*s - 14*s**4 + s**2 + 12*s**4 to the form a + x*s**4 + p*s**3 + b*s + o*s**2 and give b. -33 Rearrange (-14056*r + 14056*r + 162*r**3)*(-7*r + r + 4*r) to x*r**3 + c + a*r**4 + j*r + u*r**2 and give a. -324 Express 56*w + 27*w + 49*w + 25*w as g*w + v and give g. 157 Rearrange (9 + 0 + 0)*(-36*x + 28*x - 60*x) to the form u*x + b and give u. -612 Rearrange 14 + 6 - y - 2*y**2 + 3 + (4 - 2 + 0)*(-4 + 4 - 2*y**2) - 3*y**2 + 4*y**2 + 2*y**2 to c + k*y**2 + w*y and give c. 23 Rearrange (-6 - 21 + 0)*(0 + 3*v + 0) + (4*v - 3*v - 3*v)*(-3 + 1 - 3) + 2*v - v + v to u + t*v and give t. -69 Rearrange (-5*l**3 - 5*l**3 + 3*l**3)*(-4 - 1 - 4 - 10) to r*l**3 + g*l + a + v*l**2 and give r. 133 Express 0*u**4 + 2*u**4 + 2100 + 60*u**3 + 2*u**2 - 2102 as j*u**3 + h + r*u**2 + n*u**4 + k*u and give j. 60 Express (-w**2 - w**2 + 4*w**2)*(3*w**2 - 2*w**2 + 0*w**2) +
{ "pile_set_name": "DM Mathematics" }
ulate the remainder when (-18)/(-4)*(20/3 + -4) is divided by 9. 3 Suppose 80*k - 81 = 77*k. Calculate the remainder when k is divided by (-20)/6*(-24)/20. 3 Suppose 0 = -2*q - 18 + 52. Suppose 0 = r + 4*w - 47, 5*r = -2*w + 135 + 28. Calculate the remainder when r is divided by q. 14 Suppose 1 = m - 2*t, 2*m - 18 = -2*t - 2*t. Let b(h) = h**2 - 3*h - 2. Let r be 1/4 + 9/(-4). Calculate the remainder when b(r) is divided by m. 3 Suppose 4*y = o + 565, 3*y = o - 5*o + 419. Let b = y - 123. What is the remainder when b is divided by 7? 4 Let l be 1 + 4/10 + (-69)/(-115). Suppose 36 = l*m + 2*m - 3*c, 45 = 5*m + 3*c. Calculate the remainder when m is divided by 4. 1 Suppose -7 = r - 12. Let p(c) = 16*c**2 + 4*c + 3. Let q be p(4). Calculate the remainder when 2/(-12) + q/30 is divided by r. 4 Suppose -2*o = 2*x - 12, 0*o + 4*o = 20. Let j(b) = 10*b**3 + 2*b - 2. What is the remainder when 38 is divided by j(x)? 8 Let u = 1308 - 837. Calculate the remainder when u is divided by 4. 3 Let c = 37 + -24. Let m(k) = 2*k**2 - 4*k - 7. What is the remainder when m(-6) is divided by c? 11 Let w(u) = -u**3 - 2*u**2 + 2*u + 1. Let p be w(-4). Let y = -37 + p. Calculate the remainder when ((-258)/(-18))/((-2)/y) is divided by 22. 20 Suppose -11*u = -1 - 10. Calculate the remainder when (-6 - u)/(3/(-9)) is divided by 4. 1 Suppose -212 = -24*j + 1324. Calculate the remainder when j is divided by 2*((-26)/(-4) + 2). 13 What is the remainder when -2672*(-3)/108 + (-4)/18 is divided by 30? 14 Suppose 23 = -4*k + 2*u + u, -3*k - 26 = -4*u. Let s = 12 + -7. What is the remainder when s is divided by (k - -3) + 3 - 0? 1 Let n = -157 + 163. Let g(l) = l**2 - 9*l + 9. Calculate the remainder when g(9) is divided by n. 3 Suppose 3*v - 2*x = 65, x - 7 + 5 = 0. Suppose 0*a - 4*a = -336. What is the remainder when a is divided by v? 15 Calculate the remainder when 5 + 82 + 8 + -7 is divided by 2. 0 Let t = 76 + -71. Suppose -2*g + 78 = 2*z, t*g = 3*g - 5*z + 84. What is the remainder when g is divided by 16? 5 Let x be 4/((-8)/(-6)) - -3. Let h = x - 4. Suppose -h*l + 27 - 9 = 0. What is the remainder when 17 is divided by l? 8 What is the remainder when 148 is divided by 183/27 + -7 - (-465)/27? 12 Calculate the remainder when 18000/20*(-1)/(-3) is divided by 53. 35 Let n = 2311 + -1860. Calculate the remainder when n is divided by 35. 31 Suppose 0 = -4*i + 3*i - 3*t + 21, -3*t + 81 = 5*i. Suppose -c - 54 = -3*k + 17, -67 = -3*k + 2*c. Calculate the remainder when k is divided by i. 10 Suppose 5*h + 0*a + 4*a = 23, -4*a = -5*h + 7. Let s(t) = -2*t**2 + t + 2. Let k be s(-1). Calculate the remainder when 22 is divided by -2 + k + (h - -6). 4 Let v = 6 - 3. Let l(x) = x**3 - 15*x**2 + 56*x - 9. Calculate the remainder when l(9) is divided by v. 0 Suppose 5*d = 10*d - 30. Let t = d + 2. What is the remainder when 29 is divided by t? 5 Let i be (2/(-2))/(1/(-14)). Suppose 3*m + 25 = -5. Let o = i + m. Calculate the remainder when 6 is divided by o. 2 Calculate the remainder when 150 is divided by (-8)/(72/(-459)) + 1. 46 Suppose 3*x + 12*m - 101 = 11*m, -4*m = -20. Calculate the remainder when x is divided by 6. 2 Let p = 13 + -9. Suppose -4 = n - 3*n + p*o, -4*o - 14 = -3*n. What is the remainder when 28 is divided by n? 8 Calculate the remainder when 18/(-63) + (-4)/(-7)*382 is divided by 7. 1 Let q = -30 + 60. Calculate the remainder when 69 is divided by q. 9 Let g be (-176)/(-12) - (-4)/(-6). What is the remainder when 39 is divided by -63*(g/6)/(-7)? 18 Let m = -703 - -1012. Let w = m + -200. What is the remainder when w is divided by 28? 25 Let u(n) = -14 - 6*n + 18 + 3*n**2 + 18 - 6*n. Calculate the remainder when 85 is divided by u(4). 19 Let f(v) = -3*v + 3. Let a(t) = 16*t + 115. Calculate the remainder when f(-4) is divided by a(-7). 0 Let l(t) = 7*t**2 + 5*t - 13. Calculate the remainder when l(-6) is divided by (36/(-16))/((-12)/224). 41 Let h = 262 + -186. What is the remainder when h is divided by 47? 29 Let u be -3*(-4)/6*(-3 - -1). What is the remainder when 4 is divided by (2*4/u)/(-1)? 0 Suppose -s + 25 = -2*r, -2*r = 22*s - 21*s - 37. Suppose -5*l + i = -50, -2*i = 3*l - 23 - 20. Calculate the remainder when s is divided by l. 9 Let w(c) = 0 + 1 + 5*c - 3*c. Let n = 142 + -27. What is the remainder when n is divided by w(14)? 28 Let k be (-2)/(-4)*-2 + 1. Suppose u + u = k. Suppose 0*n + 44 = 3*n + h, 2*n + 2*h - 32 = u. Calculate the remainder when 53 is divided by n. 11 Let h = -42 + 70. Let w be (48/10)/(h/210). Suppose 3*m + 0*m = 5*b + w, -5*b - 19 = -2*m. What is the remainder when 50 is divided by m? 16 Let t(l) = 4*l**3 - 3*l**2 + 2. Calculate the remainder when 43 is divided by t(2). 21 Let j(n) = 13*n**2 - 10*n - 30. Let l be j(-7). Suppose 0 = 12*m + 29 - l. Calculate the remainder when m is divided by 19. 16 Suppose 0 = -5*z - 5*t + 206 + 4, 4*z - 195 = 5*t. Let d(o) = o**3 + 8*o**2 - 9*o + 3. Calculate the remainder when z is divided by d(-9). 0 Let q(o) = 11*o - 87. Calculate the remainder when 48 is divided by q(12). 3 Let f = -88 + 92. Suppose -f*y - 3*p = -42, 3*y = 8*y + 4*p - 52. What is the remainder when 57 is divided by y? 9 Let q(v) = 3*v**2 - 8*v - 80. Calculate the remainder when q(-7) is divided by (12/15)/((-2)/(-35)). 11 Let u be (-1 - 1)/((-10)/(-165)). Let t = u - -45. Calculate the remainder when 34 is divided by t. 10 Suppose 0 = 241*v - 232*v - 666. What is the remainder when v is divided by 5? 4 Suppose 16*o - 63 = 513. What is the remainder when 245 is divided by o? 29 Suppose p = -f - 16, 4*f = 2*p + 3*p - 91. Let g = -7 - f. Suppose -30*m - 396 = -48*m. What is the remainder when m is divided by g? 10 Let m(l) = l**3 - 7*l**2 + 5*l - 7. Let b be m(6). Let y(z) = -z**2 - 14*z + 14. What is the remainder when 112 + -5 + 0 + -2 is divided by y(b)? 24 Let q = -228 - -255. What is the remainder when 268 is divided by q? 25 Suppose 0 = -2*l - 181*z + 176*z + 32, 48 = 4*l + 2*z. Let p = -52 + 31. Let n = 20 - p. Calculate the remainder when n is divided by l. 8 Let h = -106 + 115. Suppose 3*l - 15 = 0, -5*d + 11 - 1 = 3*l. Let b = 34 + d. Calculate the remainder when b is divided by h. 6 Let r be (2 - (-84)/(-8))*-2. Suppose 3 = -5*x - r. What is the remainder when 8 is divided by (-18)/x*(-10)/(-15)? 2 Let z be 4/14 + 1396/14. Suppose 0 = 4*p + p - z. What is the remainder when (-2)/1 + 2 + 58 is divided by p? 18 Let m = 372 - 223. Calculate the remainder when m is divided by 48. 5 Suppose -50*b + 62*b - 432 = 0. What is the remainder when 174 is divided by b? 30 Suppose 12*y + y = 13. Let l = y + 85. Calculate the remainder when l is divided by 18. 14 Let z = -492 + 535. What is the remainder when 58 is divided by z? 15 Let l = 12 + -45. Let k = 41 + l. What is the remainder when ((-58)/4)/(3/(-6)) is divided by k? 5 Suppose x + 17 = 5*h, -2*x + h = -3*h + 10. Suppose t - 33 = 3*q, 0*t - 3*t = -x*q - 129. Calculate the remainder when t is divided by (-10)/(-8)*(-32)/(-4). 8 Suppose -522 = -3*z + 4*c, -3*z - c - 2*c + 522 = 0. Suppose 4*s - z = s. Calculate the remainder when 288 is divided by s. 56 Let q be 1 - -4 - (2 - 1). Suppose -q*j = -3*r + 130, 2*j - 7 = r - 53. Calculate the remainder when r is divided by 13. 12 Let v be (-3)/(2 + 1)*-5. Suppose 5*o + v*j = 2*j + 94, -o + 4*j + 28 = 0. Suppose -o*m + 6 = -19*m. What is the remainder when 21 is divided by m? 3 Let s(c) = 7*c + 18. Let f(u) = 14*u + 36. Let x(d) = 6*f(d) - 13*s(d). Let j(v) = 9*v - 5. Calculate the remainder when j(6) is divided by x(-5). 15 Suppose 5*s = -3*h - 2*h + 1520, 5*h - 4*s = 1565. Calculate the remainder when h is divided by 39. 36 Suppose 203*f = 206*f - 30. Suppose 0*d - 28 = -d. What is the remainder when d is divided by f? 8 Suppose h = -16 + 68. Calculate the remainder when h is divided by 1 + 16 + (-20 - -21). 16 Suppose k - 12 = -2*h, 5*k + 5*h = 6*k - 47. Suppose -2*f + 41 = -13. What is the remainder when k is divided by 6/f - 79/(-9)? 4 What is the remainder when (-3123 + 2 + -5)/(-23 + 21) is divided by 58? 55 Let r(a) = -a + 27. Let b(c) = -c + 43. What is the remainder when b(-6) is divided by r(10)? 15 Suppose -29*y - 622 = -3058. Calculate the remainder when y is divided by 24. 12 Suppose 4*r = -5*d + 19, 0 = 4*d + 3*r
{ "pile_set_name": "DM Mathematics" }
+ 200/35. Suppose -11*x + 140 = -c*x. What is the remainder when x is divided by j? 13 Suppose -6 = -a + s - 1, -s = -2*a + 6. Let h = a - -17. What is the remainder when 35 is divided by h? 17 Let o(b) = -2*b + 8. Calculate the remainder when o(-6) is divided by 2/(-6)*(17 - 38). 6 Let u(x) = x**3 - 6*x**2 + 2. Let m = 5 + -6. Calculate the remainder when 9/(-9)*m*2 is divided by u(6). 0 Let z(v) = -2*v + 5. Let g be z(6). Suppose 0 = 4*u - 5*n - 6 - 56, 6 = -3*n. Calculate the remainder when u is divided by 1/(-2)*(-3 + g). 3 What is the remainder when 89 is divided by 42/(-4)*(-12)/14? 8 Let s(h) = h + 15. Calculate the remainder when 47 is divided by s(-5). 7 Suppose -3*p = -2*t - 95, 3*p + 2*t - 96 = 5*t. Calculate the remainder when p is divided by 17. 14 Suppose 3*x - 20 = -2*x. Suppose -x*q + 15 + 1 = 0. Suppose q*m + 4 = 0, -2*c - 4*m + 26 = -50. What is the remainder when c is divided by 14? 12 Let y = -26 + 65. What is the remainder when y is divided by 20? 19 Suppose -107 = -5*f + 48. Calculate the remainder when f is divided by 17. 14 Suppose -3*u + 5*b + 247 - 87 = 0, 5*b + 10 = 0. Suppose -4*q = -v + 50, 0*v + 3*q + u = v. What is the remainder when v is divided by 17? 16 Suppose -15*c + 10*c + 115 = 0. Calculate the remainder when 44 is divided by c. 21 Suppose 0*j + 5*k = j - 40, -2*k - 4 = 0. Let u = 33 + -22. What is the remainder when j is divided by u? 8 Suppose -3*n = -m - 9, -2*m = 3*m - 4*n + 23. Let l = m + 5. Calculate the remainder when l is divided by 2. 0 Let k = 5 - 10. Let o = -1 - k. Suppose -t = o*t - 35. What is the remainder when 12 is divided by t? 5 Suppose 114 + 116 = 5*x. Let w(v) = v**2 + 5*v - 7. Let g be w(-8). Let j = g + -1. Calculate the remainder when x is divided by j. 14 Suppose -2*m = 3*z - 4*z + 1, 0 = 2*z + 6. Let v(o) = o + 4. Calculate the remainder when 99/21 + 4/14 is divided by v(m). 1 Let y(w) = -10*w**3 + w**2 + 2*w + 1. What is the remainder when (-228)/(-8) - 1/(-2) is divided by y(-1)? 9 Suppose n + 4*n + 2*o = 56, 3*n - 4*o = 18. What is the remainder when 57 is divided by n? 7 Let f(c) be the first derivative of -1/2*c**2 + 4 + c. Calculate the remainder when 11 is divided by f(-3). 3 Suppose 540 = -j - 3*j. Let y = j + 189. Calculate the remainder when y is divided by 14. 12 Suppose -5*p - 5*m = -0 - 20, 2*p + 5*m = 20. Suppose 2*v + p*v - 27 = 3*h, 7 = -3*v - 5*h. Calculate the remainder when 10 is divided by v. 4 Suppose 0 = -4*q - n + 83, -4*q + 2*q + 5*n + 47 = 0. What is the remainder when 82 is divided by q? 19 Let j = -12 + 19. Let l = 9 - j. Calculate the remainder when 5 is divided by l. 1 Let m(a) = a**3 + 8*a**2 + 3*a + 15. Calculate the remainder when m(-7) is divided by 11. 10 Suppose t - 5*h + 5 = 0, 3 = -3*t - h + 4. Suppose t*k + 2*k = 72. What is the remainder when k is divided by 13? 10 Let d = -3 - -4. Let l = d + -1. Suppose 5*k + 46 = 3*f, 0 = -2*f - l*f + 2*k + 24. What is the remainder when f is divided by 4? 3 Suppose 5*j - 4*j = 28. Calculate the remainder when 109 is divided by j. 25 What is the remainder when 12 is divided by ((-44)/8)/(((-25)/(-5))/(-10))? 1 What is the remainder when ((-5)/2)/(10/(-24)) is divided by 4? 2 Let a(p) = 11*p**3 - p**2 + 2*p - 1. Let s be (-4)/12 - 11/3. Let t(v) = -v**3 - 2*v**2 + 4*v + 4. Calculate the remainder when t(s) is divided by a(1). 9 Calculate the remainder when 12 is divided by (-36)/54 - (-17)/3. 2 Let z(c) = -c + 16. What is the remainder when 42 is divided by z(7)? 6 Let q(f) be the second derivative of f**4/12 - 5*f. What is the remainder when q(-4) is divided by 3/9 - (-17)/3? 4 Let x be (-6)/4*(-2 + -18). Suppose l + 2*l - x = 0. Suppose 2*w + 3*w - 90 = 0. Calculate the remainder when w is divided by l. 8 Let v = 9 + 16. Let r = 23 + -9. What is the remainder when v is divided by r? 11 Suppose -2*d - 2*d + 2*v = -174, -d + 3*v = -56. Let a be d + -1*2 - 1. What is the remainder when a - (2/1 - 2) is divided by 13? 12 Let d(o) = 28*o + 1. Let x(i) = -i**3 + 5*i**2 + i - 4. Let l be x(5). Calculate the remainder when d(l) is divided by 10. 9 Suppose 6*v - v = 0. Suppose 2*s - 4 + 0 = v. Suppose -96 = s*p - 4*p. What is the remainder when p is divided by 25? 23 Let w(p) = 3*p**2 + 2*p - 7. Calculate the remainder when w(-3) is divided by 9. 5 Let r(l) = 11*l + 1. Suppose 151 = 4*h + 3*v, 0*v - 73 = -2*h - v. What is the remainder when h is divided by r(1)? 10 Let x(u) = u**3 - 8*u**2 - 9*u + 9. Let j = 130 - 85. Suppose j = 2*s + 3*s. What is the remainder when 17 is divided by x(s)? 8 Suppose d = -3*c + 17 + 49, 2*c - 5*d - 44 = 0. Suppose 53 = 5*z - c. Calculate the remainder when 21/(4 + (-13)/4) is divided by z. 13 Let f(h) = h**3 + 1. Suppose -v = 5*c, -20 = -v + c - 8. Calculate the remainder when f(3) is divided by v. 8 Let d(a) = a**2 - 3*a - 7. Let w be d(5). Suppose 2*m = w*m - 9. Calculate the remainder when m is divided by 5. 4 Let w(o) = -o + 36. Let x be w(0). Suppose -a - 44 = 2*r - 6*r, x = 4*r + a. What is the remainder when 39 is divided by r? 9 Suppose 35 = 2*v - 63. Let k(l) = 8*l - 3. Calculate the remainder when v is divided by k(2). 10 Let s = -5 + 21. Calculate the remainder when s is divided by 6. 4 Let m = -8 + 15. Calculate the remainder when m is divided by 2 - 1*(-5 + 3). 3 Let s = 54 - 34. Calculate the remainder when s is divided by 7. 6 Let l(q) = q**2 - 8*q - 1. Let n be l(7). Let a(c) = -c + 3. Calculate the remainder when 32 is divided by a(n). 10 Suppose -o = -5*v + 59, 3*v - 16 = -o + 13. Suppose 0 = -j + 3*a + 24, -5*j = -6*j + 2*a + 26. Calculate the remainder when j is divided by v. 8 Let z = -17 - -70. Suppose -35 - z = -k. Suppose -5*w - p = -k, -w = -4*w + 4*p + 62. What is the remainder when 35 is divided by w? 17 Let q(y) = -39*y - 5. Calculate the remainder when q(-7) is divided by 45. 43 Let s(y) = -y**2 + y + 7. Let k be s(0). Suppose 0 = p + 3*r + k, 2*r - 45 = -5*p + 7*r. What is the remainder when (p/10)/((-1)/(-62)) is divided by 11? 9 Suppose -2*a - 6 = -2. Let y = 9 + a. Suppose y + 7 = f. Calculate the remainder when 25 is divided by f. 11 Let p(g) = 3*g**3 + 2*g**2 - g. Let u be p(-2). Let t be (-4)/(-10) + 24/(-10). What is the remainder when t/(-7) - 164/u is divided by 7? 5 Let i = 1 + 0. Let z be (i/3)/((-2)/(-30)). Suppose -15 = -z*j, -5*w + j = -0*j - 102. What is the remainder when 41 is divided by w? 20 Suppose 0 = -4*m + 5*m - 6. Let z(i) = i**3 - 6*i**2 + 4*i + 2. Let k be z(5). Calculate the remainder when m is divided by (6/(-5))/(k/10). 2 Suppose -3*j - 4*s = -4*j - 18, 2*j + s = 9. Let q be (-57)/(-6) - (-1)/j. Let l = q + 5. Calculate the remainder when 43 is divided by l. 13 Let b(x) = -24*x**3 + x**2 - x - 1. Let j be b(-1). Let s = j - 17. Suppose -f + 15 = -0. Calculate the remainder when f is divided by s. 7 Let b(x) = 3*x**3 + 4*x + 5 - 4*x**3 + 0 + 8*x**2 + 1. What is the remainder when b(8) is divided by 10? 8 Let o be (12/9)/((-1)/(-15)). Let n = 32 - o. What is the remainder when 23 is divided by n? 11 Let h(o) = 4*o**2 + 3*o + 1. Let b be (-15)/2*32/(-20). Suppose 2*c + 6 = b. What is the remainder when h(c) is divided by 12? 10 Let v(p) = -p**2 + p + 4. Let u be v(3). Suppose -5*i + 2*j = -13 - 10, -1 = -j. What is the remainder when 23 is divided by (22/5 + u)*i? 11 Suppose -3*j + 79 = 4*u, 0*j = -5*u - j + 85. Calculate the remainder when 95 is divided by u. 15 Suppose 2*s - 112 = 232. Suppose -2*z + 51 + 21 = -4*g, -2*g - s = -5*z. Calculate the remainder when 2/4*z*1 is divided by 6. 5 Let g(p) = 7*p**3 + p**2 - 8. Let f(b) = -13*b**3 - 3*b**2 + b + 16. Let z(d) = 6*f(d) + 11*g(d). What is the remainder when z(-8) is divided by 9? 6 Let u(q) = 24*q**3 - 2*q**2 + 3*q - 2. Calculate the remainder when u(1) is divided by 3*(-4)/6 - -8. 5 Suppose -25 = -3*g - 1. What is the remainder when 23 is divided by g? 7 Suppose -3*h + h = -66. Calculate the remainder when h is divided by 8. 1 Let d = -25 + 45. Calculate the remainder when d - 5/((-10)/6) is divided by 12. 11 Suppose 0 = 4*b - b - 33. Calculate the remainder when 21 is divided by b. 10 Calculate the remainder when ((-22)/3 + -1)*-3 is divided by 25. 0 Let z(f) = -f**3 + 10*f**2 - 10*f + 4. Let x be z(9). Let o = 30 + x. Calculate the remainder when o is divided by
{ "pile_set_name": "DM Mathematics" }
55/4? 4/7 What is the nearest to 2 in -2/5, -0.136, 2, 7? 2 Which is the nearest to 0.65? (a) -26 (b) 1 (c) 10 b What is the nearest to -1/12 in -1.362, 0.2, 5, -4/7? 0.2 Which is the closest to 1/3? (a) -2/11 (b) -3/7 (c) -172 (d) -9 (e) -4 a What is the closest to -1/4 in 5, -13, -1, 3? -1 Which is the nearest to 140? (a) 30 (b) 0.1 (c) -0.4 (d) -0.2 a What is the closest to -0.1 in 192, -19.1, -3? -3 What is the closest to 22/13 in -1, -0.4, 48? -0.4 Which is the nearest to -165? (a) -4/7 (b) -9 (c) -2/49 b What is the closest to 2/3 in -0.1, -1/2, 3/2, 50? -0.1 Which is the closest to 1/4? (a) -3 (b) -0.3 (c) 5 (d) -1.475 b Which is the closest to 5? (a) 1/3 (b) 2 (c) -4 (d) -316 b What is the closest to 366 in -1/4, -47, 0.3? 0.3 Which is the closest to 23? (a) -1208 (b) -3/4 (c) 1/11 (d) -1/4 c Which is the nearest to -9? (a) -2 (b) -24 (c) 5 (d) 0.5 a What is the nearest to -31/51 in 2/5, 3/5, -1/3, -0.5, -0.2? -0.5 Which is the closest to 1/2? (a) 0.01 (b) -3 (c) -2 (d) -2177 a Which is the closest to -3/5? (a) 537 (b) 1/8 (c) 3 b Which is the nearest to 718/19? (a) -2 (b) -1 (c) 4 c What is the nearest to 1 in 0, 94, 5, 2.4, -4? 0 What is the closest to 1 in 0.5, 21.5, 11/6, 0.4? 0.5 What is the closest to -0.2 in -14, -47, 0, 5, -0.1? -0.1 What is the nearest to -43 in 2/9, 5/2, 1? 2/9 Which is the nearest to -3? (a) -1275/16 (b) -1 (c) -4 c Which is the closest to 0? (a) 1 (b) -13.6 (c) -10 a Which is the closest to 0.1? (a) 501 (b) 0.1 (c) -2 (d) -0.26 b What is the nearest to 0.08 in -0.2, -1, -13, -1.4? -0.2 Which is the nearest to 3/8? (a) 4 (b) -0.2 (c) -49 b Which is the nearest to 0.107? (a) -0.9 (b) 3/2 (c) 261 a Which is the nearest to -2? (a) 299 (b) -3/5 (c) -2/7 b Which is the closest to -2/5? (a) 0 (b) 690/53 (c) -0.4 (d) -5 c Which is the closest to 0? (a) -2 (b) 1 (c) 33/64 (d) -8 (e) -7 c What is the nearest to -1 in 223, -194/3, -1/4, -2? -1/4 Which is the nearest to 1/4? (a) 1/67 (b) 0.4 (c) 946 b Which is the nearest to -3/2? (a) -0.16 (b) 0.3 (c) -4 (d) 5 a What is the closest to 23 in -0.2, 0.0899, -3/5? 0.0899 Which is the closest to 371? (a) -3/8 (b) -1416 (c) 3 c Which is the nearest to 1? (a) -0.3 (b) 1/4 (c) 6 b What is the nearest to -1/4 in 2/11, 6/47, 1/5, 0.16, 0.8? 6/47 What is the closest to -0.031 in 950, 0.2, -0.5, 4? 0.2 Which is the nearest to -9.7? (a) 4/13 (b) 0 (c) -8/11 c Which is the nearest to -1/6? (a) 8 (b) 1/4 (c) 2/9 (d) 50 (e) 1 c What is the nearest to -25/286 in 0.3, -3, 2? 0.3 Which is the closest to 0.006? (a) -0.1 (b) 0.2 (c) 5/9 (d) -22 a What is the closest to -2.5 in 0.2, -0.03, 0, 2.9, 1/4? -0.03 Which is the nearest to -0.1? (a) 3 (b) -2/19 (c) -2/13 (d) 0.12 b Which is the nearest to 4? (a) -4/9 (b) 10 (c) 23 (d) 28 a What is the closest to -1/3 in -2, 1644, 2/13? 2/13 What is the closest to -0.6 in -2/3, 46, 9/17? -2/3 Which is the closest to -68? (a) -0.1 (b) 1 (c) -12 (d) 1/2 (e) 1/4 c Which is the closest to -3/13? (a) -17 (b) -1.5 (c) -2 (d) 1 d Which is the nearest to -6? (a) 1 (b) 6/11 (c) 25/3 (d) -0.4 d Which is the nearest to 11? (a) 5/3 (b) -6/11 (c) 33 a What is the nearest to -1 in 10.8, 29/6, -2/5, 0? -2/5 What is the closest to -34 in 0.2, 1/3, 2, 0.111, 2/7? 0.111 What is the closest to -3.9 in 5, -65, -5/7, 4? -5/7 What is the nearest to 0.02 in 6, -0.3, -30, 0.13? 0.13 Which is the closest to 1/6? (a) 2 (b) 2.33 (c) -4 (d) 3/2 d What is the closest to 0.3 in 184, 4/11, -0.3, -4? 4/11 What is the nearest to -2198 in -1/3, 8, 0? -1/3 Which is the nearest to -1/634? (a) -5/4 (b) -4/3 (c) -2 a Which is the closest to 0? (a) 0.05 (b) -65 (c) 0.01 (d) 4 c What is the nearest to -2/13 in 0, -1, -4.4? 0 Which is the nearest to 1? (a) 4/9 (b) 1/223 (c) 7 a What is the nearest to 2 in 1485, 1/5, 4? 1/5 Which is the nearest to 0.4? (a) 2/7 (b) -0.4 (c) -2/35 (d) 4.2 (e) 3/4 a Which is the closest to 5? (a) 44 (b) 0.4 (c) 2/13 b What is the closest to 3 in -1, -1/5, -1/3, -1699.2? -1/5 What is the nearest to 0.3 in 0, 1102/5, 1, -3? 0 Which is the closest to -10.9? (a) 0.01 (b) -0.1 (c) 25 b Which is the closest to 5? (a) 2.3 (b) -2/11 (c) -56 a Which is the closest to -0.2? (a) -2/9 (b) 9/5 (c) 1231 (d) 1/5 a What is the nearest to -5.4 in -3, -4, 3, -2.9? -4 What is the nearest to 7 in 4/5, -5, 4, 0.4, 3/32? 4 Which is the closest to 2/71? (a) -1/40 (b) 2/5 (c) 1/20 c What is the nearest to 0 in 18, -1/161, -0.2, 3/5? -1/161 What is the nearest to -1 in 19, 4, -5, 53? -5 Which is the closest to -3? (a) -11517 (b) -15 (c) 0.5 c Which is the closest to 1? (a) -6 (b) 2 (c) -13 (d) -8 b Which is the nearest to 0.077? (a) 0 (b) -5 (c) -3/4 a What is the nearest to 1382 in -1/4, 2, -0.2, -2? 2 Which is the nearest to 1? (a) -310 (b) -2/5 (c) 2 (d) 3/8 (e) -1/12 d Which is the nearest to -0.14? (a) -3/10 (b) -95 (c) 2 (d) -1/3 a Which is the closest to -1/3? (a) 1168 (b) -0.5 (c) 2/13 (d) -1 b What is the closest to 1 in -2, 0.5, 136/13? 0.5 Which is the nearest to -3? (a) 1/2 (b) -8765 (c) -15 a Which is the closest to -2.9? (a) -22/5 (b) 1 (c) -0.1 (d) -0.4 (e) -3 e What is the nearest to -1 in -1141, 4, 0.4, -7/4? -7/4 What is the closest to -2 in -9, -1/2, 0.3, 4? -1/2 What is the nearest to 0.2 in -6/5, 1/4, -2.78, -3? 1/4 What is the closest to 0.5 in 2/3, -0.16, -2, -3? 2/3 What is the nearest to 0.1 in -0.549, 2, -5? -0.549 What is the closest to 1652 in -0.2, -1/80, 5? 5 Which is the closest to 0.02? (a) 1/3 (b) -3 (c) -1/3 (d) 2/3 (e) 1 a Which is the closest to 0.03? (a) -0.08 (b) -0.3 (c) 1/14 (d) -12 c Which is the nearest to 36? (a) -1.5 (b) 2/13 (c) -6/5 (d) -2 b Which is the closest to 2/19? (a) 802 (b) 0 (c) 1 (d) 5 (e) 0.4 b What is the closest to 7 in 0.4, 0.2, -5.9, 3, 4/3? 3 Which is the nearest to 14? (a) 0.5 (b) -22 (c) -1/7 (d) -2/5 (e) -0.04 a What is the nearest to -2/9 in 2/21, -3, 1/1449? 1/1449 What is the nearest to 0.1 in -1296, -1.6, -0.5? -0.5 What is the closest to 1 in 1/6, 0, -8, 0.4? 0.4 What is the nearest to -3/4 in 3, 2/3, 0.1, -2? 0.1 What is the closest to 1 in -0.1, -1.35, 2/517, 0? 2/517 What is the closest to 0 in 3/5, 71, -0.06, 4/5? -0.06 What is the nearest to -2/143 in -2/3, -2, -5, -25, 5? -2/3 What is the closest to 0.3 in 2/7, 1/4, 2324, -9? 2/7 Which is the nearest to -1? (a) -1 (b) 16 (c) -0.31 a Which is the nearest to -2? (a) 0 (b) 14 (c) -7 (d) 0.5 a Which is the nearest to 36? (a) 23 (b) -118 (c) -2 a Which is the closest to -3? (a) -4 (b) 0.2 (c) -327 (d) 5 a Which is the nearest to -0.16? (a) -2 (b) 0.1 (c) 4 (d) 0.5 (e) -0.0766 e Which is the nearest to -2/5? (a) 2 (b) 167 (c) 0.2 c Which is the nearest to -55? (a) 8 (b) -95 (c) 1/3 (d) 2 b Which is the nearest to 2? (a) 0.1 (b) -7 (c) 307/18 (d) -2 a What is the nearest to 5/3 in 3, 31, -0.4, -0.65? 3 What is the nearest to -2 in -4/9, -4/5, 1154, -3? -3 Which is the nearest to 1? (a) 1 (b) 0 (c) -8/9 (d) 16 a Which is the closest to -2/7? (a) -5 (b) 0.11 (c) 744 (d) 2 b What is the closest to -2/9 in 2, 0, -2, -0.1? -0.1 Which is the nearest to -9? (a) -3 (b) 296 (c) -4 c Which is the closest to -1/2? (a) -1 (b) -4 (c) -2/7 (d) 2/17 (e) 448 c Which is the closest to -1? (a) 4 (b) 0.3 (c) 14 (d) 3 (e) -1 e What is the closest to -1.632 in -2, -2/15, -0.01, -4? -2 What is the nearest to 0.0566 in -4, -3/8, -0.2, 11, -2/7? -0.2 Which is the nearest to 1? (a) 0.2 (b) -689 (c) -2/9 (d) 3 (e) 34 a Which is the closest to 0? (a) 3 (b) 79 (c) 0.27 (d) -3/4 c Which is the nearest to 392? (a) 0 (b) 1/2 (c) 2/15 (d) -9 b What is the nearest to 8/51 in 279, 2/9, 0? 2/9 What is the nearest to 2/7 in 1, 50, 0.4, -1, -0.4? 0.4 Which is the closest to -2? (a) -0.07 (b) 327 (c) 1.5 a Which is the closest to 0.2? (a) -1/3 (b) -5 (c) 3 (d) -18 (e) -294 a Which is the closest to -8? (a) -5 (b) -579/7 (c) 0.1 (d) 3/4 (e) -2/13 a What is the nearest to 4 in 2/7, 3, 205/7, 0.5? 3 What is the closest to 0.3 in -3, 3/8, -1, 0.0793? 3/8 What is the closest to -0.2 in -1/6, 0.09, -5? -1/6 What is the close
{ "pile_set_name": "DM Mathematics" }
-5, 4? 1/9 Which is the nearest to -2/253? (a) -1/5 (b) -5 (c) 0.4 a What is the closest to 2 in -5, 1, -231, 2/7? 1 Which is the closest to 3/7? (a) -6 (b) 46 (c) -5 (d) 4 d What is the closest to -0.71 in 5, 13/12, -1, -18? -1 What is the nearest to -1/3 in -9/133, 2/7, 8, 0.5? -9/133 What is the nearest to -0.1 in -0.3, 0.4, 28, -0.06, 1.1? -0.06 Which is the nearest to 47? (a) -4453.3 (b) -5 (c) 2/11 c Which is the closest to 1/10? (a) 5 (b) 1 (c) 15 (d) -2/3 (e) 133 d What is the closest to -10 in -3, 0, -0.12, -4? -4 Which is the closest to -3/8? (a) -42.6 (b) 0.3 (c) 5 b What is the closest to 0 in 145, -4, 0, -2? 0 What is the nearest to 5 in 6, 2/7, -0.04, -1/7? 6 What is the closest to 12/19 in 7/9, 0.2, 2/13? 7/9 Which is the closest to -2/3? (a) 2/17 (b) 0 (c) 4 (d) 2/13 b What is the closest to -2/5 in -1372/17, -28, 2, -0.5, -2/3? -0.5 Which is the closest to -3? (a) 2 (b) -0.7 (c) 2/3 (d) -0.1 (e) 16 b Which is the nearest to 0? (a) 0.0085 (b) -0.181 (c) 3/4 (d) 0.4 a Which is the nearest to -665/2? (a) 12 (b) 0.4 (c) -2 (d) -1 c What is the nearest to 2 in 0.23, 6/11, 0.5, 1? 1 Which is the nearest to -0.1? (a) 3 (b) -1 (c) 5 (d) -27.1 b Which is the closest to 9/4? (a) 4 (b) 0.6 (c) 145 (d) -5 b Which is the closest to -2? (a) 46/5167 (b) 4/5 (c) 5 a Which is the nearest to -4? (a) -2 (b) 114/5 (c) -5 c What is the closest to -10 in 1/2, -3, 0.3, 4, 91? -3 What is the nearest to 0.1 in 0.5, 0.0403, -0.05, -1? 0.0403 Which is the nearest to -2? (a) -5 (b) -320 (c) 12 a What is the nearest to 24 in 4, 0, -133? 4 Which is the nearest to -1250? (a) -2/7 (b) -3 (c) -1/4 (d) 5 (e) -0.01 b Which is the closest to -2/19? (a) 1/6 (b) -8 (c) 1 a Which is the nearest to -0.07? (a) -0.17 (b) -81 (c) 2/11 (d) 0.2 a Which is the nearest to 2? (a) -1 (b) -1/1194 (c) 3 (d) -0.3 c What is the closest to -832 in 3, -3, 1/6, 0, -5? -5 Which is the nearest to -3? (a) 15 (b) -1/3 (c) -20689 b Which is the nearest to 460? (a) -4 (b) 0.2 (c) 148 (d) 5 (e) 1/3 c Which is the closest to 1? (a) -2/13 (b) -0.3 (c) 5 (d) -2.2 (e) 1 e What is the closest to 61 in -11, 1/4, 0.04, 3, -3? 3 What is the closest to 0 in -4, 579, -2/3, -1? -2/3 What is the nearest to -3 in 0, -2/9, -2.578? -2.578 What is the closest to 2/465 in 0.08, 1/5, 4, -3? 0.08 Which is the closest to -0.54? (a) -0.4 (b) -4 (c) 0.1 (d) -0.5 (e) -0.272 d Which is the closest to 2? (a) -0.053 (b) 2/21 (c) 4 (d) 2/3 (e) 2/13 d What is the closest to -0.07 in -2/13, 0.56, 1, -215? -2/13 Which is the closest to 2? (a) -1 (b) -18 (c) 0 (d) -14 (e) 7 c Which is the closest to 0? (a) 26 (b) -0.5 (c) -1 (d) 0.2 (e) 4/9 d Which is the closest to 4/9? (a) -3 (b) -2 (c) -4 (d) 14 (e) 10/9 e Which is the closest to -6? (a) 2/2341 (b) 0 (c) 4 (d) 3/2 b Which is the closest to -86? (a) 5 (b) 17 (c) -5 (d) 0.23 c What is the closest to 0 in -3/5, 132, 2, 3/2, 1.6? -3/5 Which is the closest to 13.4? (a) 18.3 (b) -0.1 (c) -2/3 (d) 2/11 a Which is the closest to -598? (a) -5 (b) 2 (c) -4 a What is the closest to 0.1 in -0.5, -1/3, -1.3, -6/5, -6? -1/3 Which is the closest to 0.2? (a) -59 (b) -2 (c) 1/4 (d) 3 (e) 0 c What is the closest to -12 in 2, -22/9, 7/2, -2? -22/9 Which is the nearest to 11? (a) -0.6 (b) 10/17 (c) -2 (d) 3 (e) -1 d What is the closest to -62/13 in -5, -3, -7? -5 Which is the closest to 1? (a) 0.01 (b) 0.1 (c) -2 (d) -3 (e) -0.33 b Which is the nearest to -1/1063? (a) -0.1 (b) 0 (c) -0.2 (d) -3/7 b What is the nearest to -45/2 in -19, 11, 6, 1, 0? -19 What is the closest to 17 in 1, 5, -7, -3, 10? 10 What is the nearest to -4 in 4, 2/35, 0.41, -2/7, 55? -2/7 Which is the nearest to -14? (a) 4 (b) -74 (c) -2/19 (d) -4 d What is the nearest to 2 in -0.061, -0.5, -4/7, -1.37, -0.4? -0.061 Which is the closest to -0.03? (a) -3 (b) -15 (c) -2/9 c Which is the closest to -2/3? (a) -20/453 (b) -13 (c) -0.04 a Which is the nearest to -0.2? (a) -11/5 (b) 2 (c) 0.2 (d) 3/2 (e) 0.4 c Which is the closest to 4? (a) 4 (b) 4/5 (c) -1/9119 a What is the nearest to -98 in -0.2, 0.04, 0.3? -0.2 Which is the nearest to -2/7? (a) 0 (b) 1/4 (c) -1/5 (d) 3/2 (e) 588.5 c What is the nearest to -0.1 in -14, -0.311, 342? -0.311 Which is the closest to 2/35? (a) -4/127 (b) 0.5 (c) -0.4 a What is the closest to 0 in -42, 498, 1? 1 Which is the closest to 0? (a) 2/5 (b) -3.1 (c) 2/1621 c What is the nearest to 2/211 in -22/7, -0.1, -0.05? -0.05 What is the closest to -2/13 in -4/3, 29/28, -2/7, -2/9? -2/9 What is the closest to -2/11 in -2/7, 2.8, 5, 2/7, -24? -2/7 What is the nearest to 3 in 4, -2/7, -2/49, -4/17? 4 Which is the closest to -1? (a) -0.081 (b) -2/5 (c) 5 b Which is the nearest to 0.04? (a) 1/3 (b) -3 (c) 2/17 (d) -4/5 c What is the closest to 0.4 in -5, -0.9, -0.03, -0.7, -1/5? -0.03 What is the closest to 4083 in -5, 0.04, 0.3, 3? 3 What is the nearest to -2/25 in -3/7, 10/3, -43, 5, -4/5? -3/7 What is the nearest to -26 in 0, -4, -1293/5? -4 What is the closest to 1/7 in 0, 1/6, 28, -0.55? 1/6 What is the closest to -3 in -130, -3, 3/2, -1.14, 0.2? -3 What is the nearest to 20 in -4, 0.2, -377? 0.2 Which is the closest to -5? (a) -3 (b) -46 (c) -0.13 (d) -0.4 a What is the nearest to -0.06 in 0.1, -4, 2/267, -2/11, 2/5? 2/267 Which is the closest to -0.1? (a) 1/2 (b) -54 (c) -5/6 (d) 8 a Which is the closest to 0? (a) -0.2 (b) -1 (c) 2/9 (d) 2/17 (e) 2/13 d Which is the closest to 2/9? (a) -0.4 (b) -0.2 (c) -39.7 b Which is the nearest to 375? (a) -3 (b) 0 (c) 4 (d) -4/5 (e) -18/11 c What is the closest to -5.4 in -5, 0.5, 4, 0.05, -1/4? -5 What is the closest to 0 in -4, -4/15, -67/3, 2/11? 2/11 What is the nearest to -3/5 in -14, 0.51, -5? 0.51 What is the nearest to -2 in -2/3, -0.12, -2/5, -0.005, -4/3? -4/3 Which is the closest to -13? (a) -4 (b) 0.4 (c) -14 (d) 0.3 (e) -2/9 c Which is the nearest to -3? (a) 4 (b) 67 (c) -8.4 c What is the closest to 2/3 in 3/8, 1/153, 2/5? 2/5 What is the nearest to 2 in 0.2, 4, -147, 1? 1 Which is the nearest to -30? (a) 3 (b) 0.1 (c) -2/11 (d) 1/4 c What is the closest to 0.1 in -1/2, -3.3, 0.09? 0.09 What is the nearest to 1/2 in 4.41, -3/8, -3, 5? -3/8 What is the nearest to -13 in -49, 1.2, 3? 1.2 What is the closest to -0.1 in 2322, 3/14, 2/17, -2/9, 0? 0 What is the closest to -1 in -2, 214.82, 8? -2 What is the nearest to -3/5 in -0.1, -6/569, 0.2, -1? -1 What is the closest to 3 in 2/11, -0.5, 4/17, 5, -4? 5 What is the closest to 2/17 in -1/4, 2/3, -1/8, -0.5, -0.2? -1/8 What is the nearest to 23/11 in 1, -6, -1? 1 Which is the closest to -0.2? (a) 1/2 (b) -345 (c) -14 a Which is the closest to 1/2? (a) -27 (b) 153.53 (c) 0.1 c Which is the nearest to 0? (a) 0.1 (b) 2 (c) 3 (d) 2592 (e) -1/3 a Which is the nearest to -4/7? (a) 2/7 (b) 0.4 (c) 2 (d) -2 (e) -263 a What is the closest to 1 in -3/95, -7, -4, -1? -3/95 Which is the closest to -24? (a) 1.5 (b) 5 (c) 4/17 c What is the closest to -0.01 in -0.1, 0.02, -0.3, -5, 838? 0.02 What is the nearest to -2/15 in 50, -2/69, -1/4? -2/69 What is the nearest to -109 in -15, -2/7, 2/15, 0.4? -15 What is the nearest to 4835 in 60, -2, 1/6? 60 Which is the closest to -34? (a) 1/8 (b) 8/9 (c) 0.3 a What is the nearest to 2 in -13, 1, -472, 0? 1 Which is the nearest to 1.61? (a) -0.1 (b) -4/3 (c) 16 (d) 3/7 (e) 2 e What is the nearest to -8 in -12, -0.2, -1? -12 What is the nearest to 0 in -3, 2/7, -1/4, -7, 34? -1/4 What is the closest to 1 in 0, -0.029, -186? 0 Which is the nearest to 6? (a) -2 (b) 7/2 (c) 2/9 (d) -3/7 b What is the closest to 5/8 in -0.064, -2.7, -3? -0.064 Which is the closest to 0? (a) -24 (b) 24696 (c) 3 c What is the nearest to 21 in -21, -2, 0.5, 3/4, 1/4? 3/4 What is the closest to -11 in 3/10, -0.1, -0.5, 3, -5? -5 What is the closest to -1 in 36, -50, -2/11, 2, -1? -1 Which is the nearest to 3/7? (a) 7 (b) -1 (c) 3 (d) -0.2 (e) 2 d Which is the closest to -0.2? (a) -0.03 (b) 7017 (c) -0.1 (d) 3 c Which is the nearest to 0.06? (a) -0.01 (b) -2/17 (c) 4 (d) 0.07 d What is the nearest to 2/3 in -0.2, 2, 0.0277? 0.0277 What
{ "pile_set_name": "DM Mathematics" }
(c) -0.2 a What is the second biggest value in -2/11, -1/124, -1/2, 13/2, -0.03, 0.3, -0.3? 0.3 What is the biggest value in -17, 7, -4, 4, -0.06, 1427/2? 1427/2 Which is the fourth smallest value? (a) 3/2 (b) -3 (c) 3 (d) 0 (e) 2 (f) 6944 (g) -54 a Which is the biggest value? (a) -32 (b) 6 (c) 1/4 (d) 0.4 (e) 5 (f) -22/13 b What is the second biggest value in -18/5, -0.1, 2/449277, -1/4? -0.1 Which is the biggest value? (a) -4 (b) -52.2851 (c) -0.06 c What is the fifth biggest value in -85, -0.468, -0.11, 7, 0.1? -85 Which is the sixth smallest value? (a) -2/9 (b) 0.039421 (c) 1 (d) 4 (e) 68 (f) -6/11 e What is the fourth biggest value in -2, -0.1, -100, -13/12, -1/9, 8, 4? -1/9 Which is the fourth smallest value? (a) 2/13 (b) -17 (c) 0.2 (d) -1 (e) -11/706 (f) 4 (g) -3/7 e Which is the third biggest value? (a) 2/3 (b) -5/6 (c) 47 (d) -289 (e) -5 (f) 0.3 (g) 0.1 f What is the sixth smallest value in -0.11, -1/3, 2/7, 1/8, -1/10, 3896? 3896 Which is the third biggest value? (a) -0.2 (b) -1/2 (c) 1/78 (d) 0.4 (e) -2/2367 (f) -0.3 (g) -2 e What is the third biggest value in -4, -18/11, -90121, -1/3, -3/5, -0.5, -2/3? -3/5 What is the second biggest value in -3.4, -0.71, 1/3, -109/5? -0.71 Which is the fifth smallest value? (a) -5 (b) 2 (c) -0.02 (d) 55/3 (e) 4805 e Which is the fifth smallest value? (a) -1/2 (b) 7/113 (c) 2 (d) -2 (e) 1668/19 e What is the fifth smallest value in 4, 2, -1, -11, 1.25, 355? 4 Which is the sixth biggest value? (a) -5 (b) 2/7 (c) 3 (d) 0.4 (e) 4 (f) -3/2 (g) -58 a Which is the second smallest value? (a) -0.6 (b) 1.1 (c) 13 (d) 54161 b Which is the biggest value? (a) -49 (b) 0.09 (c) 1363 (d) -2 c What is the second biggest value in -1, 991, 14, -4, -0.4, -1/4, -0.5? 14 Which is the third smallest value? (a) -2/5 (b) 86552 (c) 4/5 b Which is the biggest value? (a) 0.3 (b) -53 (c) -126.9957 a Which is the third smallest value? (a) 0.4 (b) 24/13 (c) -0.5 (d) -1 (e) -3 (f) 5/4 c Which is the biggest value? (a) 0.4 (b) -0.03 (c) 0.05 (d) -1 (e) 4 (f) -362 e Which is the biggest value? (a) 20444 (b) -0.06363 (c) -2 a What is the biggest value in 2/7, 225023, 5, 3/2? 225023 What is the biggest value in -1/3, -22/3, -0.5, 2466, 0, -5? 2466 What is the fourth smallest value in -5, -1/3, 20941, -0.033? 20941 What is the third smallest value in -3/2140, -0.1828, -3/7? -3/2140 What is the biggest value in 0.05, -1, 0.1, -1196, -1/3? 0.1 Which is the third smallest value? (a) 14 (b) -50.1 (c) -0.1 (d) 1/2 (e) 2 (f) 0 (g) 1 f Which is the second biggest value? (a) -0.5 (b) 56 (c) 1/2 (d) -53448 c Which is the biggest value? (a) 15 (b) 22 (c) -1.9 (d) -48 (e) -0.2 b Which is the fourth smallest value? (a) 0.1 (b) 0.8 (c) 5 (d) 1 (e) 8/9 d Which is the biggest value? (a) 0.07 (b) -2/3 (c) -3633 (d) -4/3 a Which is the biggest value? (a) -5 (b) -0.1 (c) 2/5 (d) -18/149 (e) 23 (f) 6/11 (g) 3 e Which is the third biggest value? (a) 22 (b) 2/9 (c) 3 (d) 1 (e) -5533 (f) -1 d Which is the biggest value? (a) 18 (b) -2/5 (c) -2.2 (d) -2/29 (e) 0.28 (f) 5 a What is the second biggest value in 0, 9, -0.2, -752.33, -3/4, -0.3? 0 Which is the smallest value? (a) 351 (b) 0.3 (c) 0 (d) -3 (e) -1473 e What is the third biggest value in 0.5, 59, -2/19, 127, 5? 5 Which is the second biggest value? (a) 2 (b) 3/7 (c) 2/389 (d) 1 (e) -77 (f) -1 (g) -34 d What is the sixth smallest value in 30, 2/5, -3.8, 0, -0.3, -4/3? 30 What is the third smallest value in -0.58, -2/15, 32, 1/3, -11? -2/15 Which is the smallest value? (a) 1/2 (b) -0.7 (c) 1/5 (d) -0.0838 (e) 2 b Which is the third biggest value? (a) -3/2 (b) 4600 (c) -14 (d) -3 (e) 0 (f) 0.03 e Which is the smallest value? (a) 0 (b) 0.5 (c) 2/15 (d) -93 (e) 31/59 (f) 5/2 (g) -3 d What is the third smallest value in -43, 7923, -39? 7923 What is the sixth biggest value in 4, -5, 1/5, 3.5, 107, -0.2, -1/2? -1/2 Which is the second smallest value? (a) 5/9 (b) 1/3 (c) -0.2 (d) -0.015 (e) -5 c What is the third biggest value in 0.292, 16, -52, -0.5? -0.5 What is the fourth biggest value in -25, -1/182, 4, 0.8, 3/5, -5? -1/182 What is the fourth biggest value in 1/5, 3/5, 2/13, 20.9, -20, -0.4, -2/3? 2/13 What is the smallest value in -1/6, 31121.3, 3, 2/5? -1/6 What is the fifth biggest value in 14, -88/23, -2/9, -2/231, 0.3, 4? -2/9 Which is the second biggest value? (a) 4 (b) -0.007 (c) -3/2741 (d) -3/5 c Which is the fourth smallest value? (a) 0.037 (b) 2/11 (c) 0.1 (d) 3 (e) 1641 (f) -0.5 b What is the smallest value in -57.73, 0.1, 26836? -57.73 Which is the biggest value? (a) -0.3 (b) -13697 (c) 45 c Which is the biggest value? (a) -1/1580 (b) -2/9 (c) -5 (d) -1 (e) -0.86 a What is the second biggest value in 8, 235473, 104? 104 What is the sixth smallest value in 3.8, 78, 3/8, -2/61, 0.2, 5? 78 What is the second biggest value in -142.023, 0.0305, -2? -2 Which is the third biggest value? (a) 2/21 (b) 30/1429 (c) 5/3 b What is the smallest value in -0.3, -10182, 3, 6? -10182 Which is the second biggest value? (a) -1/9 (b) -1/3 (c) 3607/4174 a What is the biggest value in 37.2007, 2/17, 2/15? 37.2007 What is the biggest value in 12, 0.11, 4/5, -0.34, -9/13, -0.2? 12 What is the fifth smallest value in 86, 5, -11, 2, 2/5? 86 Which is the fifth biggest value? (a) -1/2 (b) 1/3 (c) 2/3 (d) 38219 (e) -2/13 (f) -12 a Which is the fifth smallest value? (a) 2 (b) 25 (c) -1/2 (d) 3/28 (e) 2132 e Which is the fifth smallest value? (a) -4/3 (b) 1/4 (c) -0.366 (d) -1/3 (e) -1 (f) -2/7 (g) 13/3 f What is the smallest value in 3.9632, 1021, -1? -1 Which is the biggest value? (a) -4/5 (b) 104 (c) 50 (d) 2 (e) -4 (f) -2/5 (g) 1/9 b Which is the fifth biggest value? (a) -2/23 (b) -3 (c) -5 (d) 276 (e) -0.073 (f) 0.9 b Which is the biggest value? (a) -5 (b) -0.021 (c) -0.34 (d) -1250 b What is the smallest value in -5414, -84.2, -5/3? -5414 Which is the biggest value? (a) -86 (b) -502442 (c) -2/11 c What is the fifth biggest value in -16/27, 19, -4, -219, -3, 0? -4 What is the second biggest value in 3/8, -3, 745, -14.4? 3/8 Which is the third smallest value? (a) 3 (b) -1/3 (c) -27 (d) -0.2 (e) -3/7 (f) 14 (g) -0.3 b Which is the third biggest value? (a) 5/6 (b) 2/53 (c) -16.723 (d) -4/7 (e) 0.5 (f) -1/3 b What is the fourth biggest value in 2, 1/20, 16/7, -1867, 5? 1/20 What is the fifth smallest value in 2/5, -1/7, 41, -2/3, -0.1, -5, -29.89? -0.1 Which is the biggest value? (a) 4 (b) -0.25582 (c) -1 (d) -1.55 (e) 0 a Which is the biggest value? (a) 172/27 (b) -2/349 (c) 4 a What is the fourth biggest value in -0.4, 3, -1, -33, 22/1095? -1 What is the third biggest value in 1.0898, 2, 4/11, -1, -0.4, -0.3, -2? 4/11 Which is the second smallest value? (a) 2.4 (b) -31 (c) 0 c What is the fourth smallest value in -2, 8/7, -1, -5, 689, 102, 1/3? 1/3 Which is the fourth biggest value? (a) 2 (b) 10 (c) -414.6445 (d) 0.3 c Which is the sixth smallest value? (a) 2.7 (b) -4 (c) -32 (d) -2/9 (e) -5 (f) 0.4 a What is the fifth smallest value in -0.5, 3290, -4, 1/4, 74, 3? 74 What is the biggest value in 0, 2, 65.1, -63, -2/19, 0.4? 65.1 What is the biggest value in 11, 7, -47? 11 Which is the second biggest value? (a) 499 (b) -700 (c) -1 c What is the fifth biggest value in -10/9, -9, 3/2, 201, 8, 0, -2/17? -2/17 Which is the fourth biggest value? (a) 2178143 (b) 9 (c) 1/7 (d) 1 c Which is the smallest value? (a) 2/11 (b) -22/7 (c) -1/35768 b Which is the third smallest value? (a) -0.01 (b) -5 (c) -1/10 (d) 335537 a Which is the smallest value? (a) 2 (b) -4/3349 (c) -0.07 (d) 1/5 (e) -0.1 e What is the fourth biggest value in -0.59, 17, 5, 2/9, -2.8, -3, -22? -0.59 What is the second smallest value in 375463, 35, -0.07? 35 Which is the biggest value? (a) 0.5 (b) -1.15 (c) -17 (d) 4 (e) -92.7 d Which is the second biggest value? (a) 4759/3 (b) -4 (c) 0.36 c Which is the third smallest value? (a) -2/7 (b) -4/9 (c) 252 (d) -0.03385 d What is the biggest value in 4, -0.3, -3/101, -12858? 4 Which is the second smallest value? (a) -4 (b
{ "pile_set_name": "DM Mathematics" }
ite number? True Is 4792156433 composite? False Is 762975971 a prime number? False Is 199295523883 composite? False Is 1266081769 a composite number? True Is 21868819277 a prime number? True Is 244979899 a composite number? False Is 244967507 a composite number? True Is 882125117 a composite number? False Is 3542347109 a composite number? True Is 73615811 prime? False Is 176261441 a composite number? False Is 700546813 composite? False Is 17462252135 composite? True Is 7301319397 a composite number? False Is 3369367549 prime? False Is 2999955983 prime? False Is 2427843701 a composite number? False Is 98174575111 prime? True Is 2470117879 prime? True Is 4665408721 a prime number? True Is 15116780599 prime? True Is 1679264911 composite? False Is 13285488943 prime? True Is 10724079409 prime? True Is 133063356161 a composite number? False Is 78668565449 a composite number? False Is 27508081 prime? True Is 12200962097 a composite number? False Is 67233200989 a prime number? 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False Is 228059446183 a prime number? True Is 416658991 prime? False Is 5277461405 composite? True Is 109221297319 a prime number? True Is 125321993 prime? True Is 3663333811 prime? True Is 1641221639 a prime number? True Is 10989943189 prime? True Is 42743087141 prime? False Is 275104559 composite? True Is 3989725711 a prime number? False Is 11076392251 composite? True Is 39999861717 a prime number? False Is 2553655193 a prime number? False Is 577395373 a prime number? True Is 1002022639 a prime number? False Is 17123923823 prime? False Is 123550929163 prime? True Is 20316442235 composite? True Is 610409563 a composite number? True Is 70059621497 prime? False Is 5910310583 prime? False Is 1127655497 a prime number? False Is 12009587935 a prime number? False Is 471459421 a prime number? True Is 4847993417 a composite number? True Is 655239517 a prime number? False Is 187087111 a prime number? True Is 2019643319 composite? False Is 62166124463 a prime number? 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True Is 21624604399 a prime number? True Is 1248605563 a prime number? True Is 1131043307 a prime number? True Is 23455971851 prime? False Is 3318332027 a prime number? True Is 2950037 a composite number? False Is 29289934889 a composite number? False Is 1288002223 composite? False Is 9214721413 prime? True Is 23188305479 composite? False Is 1550386657 a prime number? True Is 38776329247 composite? True Is 2532013501 prime? False Is 274905811 prime? True Is 1745497031 prime? True Is 3010659959 a prime number? True Is 442351397 prime? True Is 8113746101 a composite number? False Is 5675080823 prime? False Is 152443316353 prime? True Is 181177453057 a composite number? True Is 2560482163 a prime number? False Is 2772542335 a prime number? False Is 3209710529 a prime number? True Is 2165812141 a prime number? False Is 7185418367 prime? True Is 3128384431 a composite number? True Is 40205055661 a prime number? False Is 8247433373 prime? True Is 2994894415 prime? False Is 2830239773 composite? True Is 4216191649 prime? False Is 16063317499 a prime number? True Is 2097645671 composite? True Is 693761161 a composite number? False Is 90776167411 composite? False Is 179265808229 prime? True Is 214685531 a prime number? True Is 157940616161 prime? False Is 160382483 prime? False Is 27454136981 a composite number? False Is 290602789 prime? False Is 4812539923 a composite number? False Is 12373356899 a composite number? False Is 8789972957 a prime number? True Is 7128297529 a composite number? True Is 2191732201 a prime number? False Is 90829649 composite? False Is 61916893541 a composite number? True Is 220834363 composite? False Is 98702671 prime? True Is 14749418033 a prime number? False Is 251748397 a prime number? False Is 77414173 a prime number? False Is 2717974849 prime? True Is 154304881 prime? False Is 4861422971 a prime number? True Is 171478849433 a composite number? False Is 39952227517 a prime number? True Is 8404378571 composite? True Is 1549491407 a composite number? False Is 17025042569 a prime number? False Is 3338521477 prime? True Is 491244211 a composite number? False Is 391815227 composite? False Is 4360503887 composite? True Is 13646115719 a composite number? True Is 1734930161 composite? False Is 3089270981 a prime number? True Is 9876078103 prime? True Is 3769707563 a composite number? False Is 3036564353 a composite number? False Is 269939687 a prime number? False Is 149666548639 a prime number? True Is 3949680521 a prime number? False Is 158131046 a composite number? True Is 54190429 a prime number? True Is 4116835909 a composite number? False Is 20341831 composite? True Is 4329729563 a composite number? True Is 5834829927 a prime number? False Is 1711623679 prime? False Is 19135899713 a prime number? False Is 13206956237 a composite number? True Is 48350543611 a prime number? False Is 4111457089 prime? False Is 146221590029 a composite number? False Is 750847243 a composite number? False Is 73434299 prime? False Is 869654083 prime? True Is 6099521927 composite? True Is 9534772349 a prime number? False Is 44361455 prime? False Is 4997411189 a prime number? False Is 2996299393 a prime number? False Is 405189559 a prime number? False Is 102549010429 composite? False Is 14694077 prime? False Is
{ "pile_set_name": "DM Mathematics" }
8 - -1)? -11 Calculate -2 + 2 + 0 + (236 - 227). 9 -4 + (-2 - -9 - -6) 9 What is 2 + 0 + -2 + -10 + 4? -6 What is (5 - -3) + -14 - -2? -4 20 + -16 + 1 + -2 3 -8 - -10 - (1 - -5) -4 4 + (1 - 1) + -2 2 What is (-3 - -4) + (-5 - -8)? 4 What is (-5 - -1 - -4) + 3? 3 Evaluate -5 - (1 - (13 + -1)). 6 What is -3 - -1 - (-38 - -34)? 2 What is the value of -6 - (0 - (-4 - -5))? -5 Calculate -4 - 2 - (0 - 6) - -5. 5 What is 4 - (0 + (0 + -1 - -3))? 2 Evaluate (24 - 8) + -8 + 5 + -8. 5 What is -4 + -8 + 10 + 4? 2 -4 - (0 + (-1 - -2 - 1)) -4 Calculate 7 - 5 - 2 - (4 + 1). -5 Calculate 1 + 0 + (7 - 3). 5 What is the value of -4 + (1 + (3 - -2) - -3)? 5 What is -10 + -11 + 4 + 7 + 2? -8 What is the value of -1 - ((8 - 9) + (1 - 0))? -1 -13 + 7 + -2 - (-20 + 2) 10 Evaluate 0 + (-12 - -12) + 1 + 4. 5 Calculate -8 - (5 - (2 + 8 + -8)). -11 What is 0 + 3 - (1 - -3)? -1 0 - (-4 + (5 - (0 + -7))) -8 What is (3 - 5 - 3) + 2 - -7? 4 Evaluate 3 - ((-1 - 1) + 6 + -5). 4 2 - (2 + 2 - -3 - 1) -4 (-4 - 0) + 1 - 0 -3 Calculate 5 - 1 - -5 - -1. 10 Evaluate 3 - -3 - -2 - 5. 3 -1 - 0 - 9 - -7 -3 Evaluate (16 - 8) + -3 - 7. -2 What is the value of (4 - 0) + 5 + -13 + 2? -2 Evaluate 5 - (12 + -1 + -4). -2 What is (3 - 3 - -1) + (-11 - -5)? -5 (-2 - 15) + 4 + 9 -4 (1 - 7) + 31 + -32 -7 10 + (-2 - 6) + 1 - 3 0 What is 3 + -6 - (-2 - 4)? 3 Evaluate (-3 - 3 - -7) + 1 + -1. 1 Evaluate -1 - (2 - -4) - -13. 6 What is the value of (-16 - -8) + 7 + 2? 1 1 + -3 + 4 + -6 -4 What is the value of (1 - -7) + 4 + -7? 5 Calculate 8 + 4 + -9 + 0. 3 What is 8 + -3 + 2 - -3 - 7? 3 -3 + 1 + -4 + 1 -5 What is the value of 4 + (25 - 34) + (0 - -6)? 1 Calculate -2 + 1 - (10 + -9). -2 What is the value of 8 - (-2 - -5) - 2? 3 Evaluate (2 - (-1 + 0)) + -3 - -1. 1 Evaluate -11 + 16 - (-1 + 10) - -3. -1 What is the value of 2 + 1 - (-2 + 4 + -1)? 2 Evaluate 8 + (4 - 7 - (0 + 14)). -9 What is -5 + (10 + -4 + -1 - -1)? 1 What is the value of (-4 - (2 - 3)) + (5 - 4)? -2 Calculate 4 + (0 - (3 - 0)). 1 Calculate 5 + (3 - 6) + 2. 4 -17 + 8 + 4 - (-1 - 2) -2 What is -1 - (-12 - -6 - -9)? -4 What is (-9 - (10 + -10)) + 16? 7 What is 12 + -18 - (0 + 3 + -1)? -8 Calculate 4 + (-3 - -6) + -8. -1 Evaluate -103 + 110 - (-1 + -1 + 2). 7 What is the value of 9 - (-6 - (-4 + -1 - 5))? 5 What is the value of 1 + (-2 + -1 - -3)? 1 What is the value of 9 - (-3 + 7 + 3)? 2 Calculate 9 + 3 + 1 + 3 + -12. 4 Calculate -9 + 3 - -22 - 9. 7 Evaluate -6 + 7 + 6 - (1 - -4). 2 What is the value of -8 - -11 - (0 + (1 - 2))? 4 9 + 0 - (-52 + 55) 6 0 - (1 - (2 + -2 + 1)) 0 Calculate 4 + (-4 - (1 - -3)). -4 What is the value of -7 - ((5 - -2 - 4) + -4)? -6 Calculate 2 - (0 - -3 - (-7 - -6)). -2 Calculate -1 - -8 - ((-20 - -11) + 20). -4 What is the value of 126 + -133 + (12 - 0 - -2)? 7 Calculate -5 + -1 - (-3 - -2). -5 Calculate -3 + -2 + (-2 - -1) + 1. -5 Evaluate -1 - (5 + -3 + 1 - 3). -1 What is the value of -4 + 0 + -4 + 6? -2 What is 1 - (-3 + (-3 - (-8 + 3)))? 2 Calculate -3 - (-5 - -5 - 7). 4 Evaluate -5 + 1 + (-5 - -9) - -2. 2 What is -8 - (-13 - -3) - -4? 6 3 - ((0 - -8) + -10 + 9) -4 Calculate (13 - (14 + -7)) + -13. -7 (5 - -3 - (6 + -2)) + -9 -5 Evaluate 0 + (1 - -1) + -7 + 3. -2 Calculate (-18 - -12) + 15 + -8. 1 (-8 - -6) + -9 - -20 9 What is 5 + 2 + -2 + 0? 5 -6 + (-4 - -19) - 8 1 What is (0 + 1 - (-2 + 5)) + -2? -4 What is 14 + -13 + 0 + 0 + 1? 2 What is 3 + 4 + -1 - (1 + 1)? 4 What is the value of -22 - -26 - (0 + 3)? 1 0 + 0 - (1 + (11 - 11)) -1 Evaluate (19 + -14 - 6) + (2 - 0). 1 Calculate -2 + -1 + 7 + -4 + 1. 1 What is (-3 - (1 - -2)) + -1 + 8? 1 What is 4 + (6 - 13 - 1)? -4 Evaluate 5 - (-13 - -10 - (-10 + 0)). -2 14 + -15 + 10 + 1 10 What is the value of -7 - -7 - 1 - (4 - 12)? 7 Calculate (4 - 0) + 6 + -7 + -2. 1 Evaluate -22 + 7 - -6 - -6. -3 Evaluate -2 + (5 - 2) + (3 - 3). 1 Evaluate -6 + (3 - -8) + -4. 1 7 + -2 + -6 + 6 - 6 -1 What is 2 + (6 + -2 - (2 - -4))? 0 What is the value of -2 + (-3 - (3 - 7)) + -3? -4 Evaluate (0 - (4 - 3)) + (-1 - 4). -6 Evaluate (-1 - (9 - 6)) + (1 - 3). -6 Calculate 0 + (-6 - (2 + 1 - 4)). -5 What is -1 - (-9 + 4) - 3? 1 What is the value of -4 + (0 + -3 - -2)? -5 Evaluate 93 - 80 - (0 - -20). -7 Calculate 0 + (-15 - -19 - (-1 - -3)). 2 Calculate 13 - (-2 + 7) - 6. 2 What is the value of 8 + -11 + 12 - 8? 1 What is the value of 0 + (-11 - -6) + 10? 5 Evaluate 1 + 5 + 2 + -4. 4 Calculate 6 + (-1 - -4) + -13. -4 What is the value of (-1 - -6) + -15 + -12 + 26? 4 Calculate (-1 - 0) + (-5 - -1) + 1. -4 -93 - -107 - (1 + 7) 6 What is (-2 - 0) + 4 + -5? -3 -10 + 12 + -7 + 3 -2 Calculate -5 + 1 + (-1 - -4) + -3. -4 What is the value of -3 - (-4 + 3) - (-6 + 0)? 4 What is 4 + -1 - (-19 + 22) - -3? 3 What is -9 - (7 + -16 + -5) - 5? 0 Calculate 8 - (0 + 1 + 2). 5 Evaluate (0 - -2) + (0 - -1). 3 What is (-2 - 0) + -16 + 12 - 1? -7 What is the value of 1 + -5 + 8 - 3 - -2? 3 What is -7 - -2 - (-7 + -4 - -10)? -4 -3 + (5 - (-8 + 6)) 4 Calculate -3 - -3 - (-6 + 5). 1 What is the value of -1 - (-3 + 1 + -1)? 2 What is (-28 - -31) + (-1 - 5) + 1? -2 Evaluate -7 + 5 - (-2 - -4). -4 What is the value of 4 - (8 + -1) - -4 - 2? -1 What is the value of -9 - (8 - 8) - 0? -9 What is the value of 5 - 8 - (-5 - 1 - 1)? 4 -5 - (-1 - (1 - (-2 + 4))) -5 What is -8 - (3 + -4 + -12)? 5 Calculate (15 - 6) + (-10 - (-5 - 1)). 5 Evaluate -3 + -3 + -4 + 3 + 7. 0 3 + -1 + -4 - 5 -7 What is the value of (10 - 7) + -1 + 1 + 1? 4 What is -2 - -6 - (9 - 2)? -3 Evaluate -3 + (-1 - 4 - (1 - 11)). 2 What is -3 + (-5 - -1) + 8? 1 Calculate 1 + -1 + (-5 + -11 - -17). 1 Calculate -42 + 35 - (1 + 0 + -15). 7 5 + -1 - 2 - (-20 + 18) 4 Calculate -1 + 0 + -2 - (164 - 164). -3 Evaluate 56 - 53 - (-3 - -1 - 5). 10 What is 1 + -4 + -3 + (-5 - -11)? 0 Evaluate -1 + (-2 - (-10 + 5 - -1)). 1 Calculate -4 + (4 + 2 - -3). 5 What is 4 + (-1 + -1 - 4) + -3? -5 What is -7 - -7 - -4 - 0? 4 What is the value of (0 - 0) + 19 + -17? 2 Calculate 2 - (3 - (6 - (3 - 2))). 4 Calculate -6 - -1 - (0 + -2 + 1). -4 Calculate (-28 - -29) + -1 + 1. 1 -3 + -3 + 6 - -1 1 What is -1 + (1 - (3 - 5)) - -1? 3 Evaluate -15 - (-9 - -3) - -16. 7 What is 5 + 9 + -2 - 21? -9 Evaluate (6 + -1 - 0) + 0. 5 Evaluate 2 - (-3 - (-8 - -4) - -6). -5 What is -4 + (2 - 2) - -3? -1 What is the value of 9 + (0 - 4) + -1? 4 What is the value of 2 + -2 - (-2 + 4 + 3)? -5 What is 14 - (25 + -9) - 1? -3 (-4 - -5) + (31 - 24) 8 What is the value of 2 + -2 + (0 - 1) + 3? 2 Calculate (11 - 14) + (-1 - -2 - 0). -2 Calculate 2 + 4 + (-4 - -2). 4 Calculate -2 + 0 - (-2 - -6). -6 Evaluate 3 - ((1 + 3 - 2) + 10). -9 Calculate 47 - 52 - (-1 + (2 - 13)). 7 Evaluate 0 + -3 + 5 - 5 - -6. 3 What is the value of (-18 - -18) + -4 + (0 - -1)? -3 Evaluate -1 + (4 + -2 - 1) - -1. 1 What is -4 + 1 - (1 - 9 - 1)? 6 What is the value of -12 + -3 + 2 + 19? 6 6 + -3 + 2 + (-2 - 5) -2 What is the value of -1 - (-3 + 2 - (-2 - -4))? 2 Evaluate 0 + 10 - (6 + (9 - 13)). 8 -3 + -1 + -2 - -5 -1 What is the value of -1 + 4 + 0 + 2? 5 -2 - -1 - (-4 + 6) -3 What is the value of (-4 - -5) + (2 - (-4 + 9))? -2 What is the value of -10 + 10 + -9 + 16? 7 Calculate 5 - 2 - 0 - 0. 3 Evaluate (4 - 3) + 11 + -8. 4 What is (0 - -3) + (8 - 8)? 3 What is 7 + (-6 - (-8 + 14))? -5 Evaluate 10 + -18 + 5 + 2 + 8. 7 What is -3 + 4 + (3 - 5)? -1 What is the value of 43 - 43 - (-1 + 1)? 0 What is the value of -2 - (-9 - 4 - -2) - 4? 5 What is the value of (10 - 3) + -4 - 4? -1 Evaluate -2 - (-2 + 5 + (0 - 1)). -4 What is the value of -4 + (6 - (5 - 3))? 0 What is (94 - 101) + (0 - -10)? 3 Evaluate 0 - (5 - (5 - -3)) - 4. -1 What is the value of 0 + -3 - (4 + -6 + -6)? 5 Calculate -3 - (-13 - (-7 - -4)). 7 What is (-4 - 3) + 2 + 1? -4 -4 - (3 - 5) - -5 3 Evaluate (4 - (2 - -8)) + 3. -3 What is the value of -5 - ((1 - -1) + -1)? -6 What is the value of 0 - 5 - (4 - 6)? -3 What is -4 + 11 + -16 - 0? -9 What is the value of (-5 - (-1 - (5 - 4))) + 1? -2 What is 2 + (4 - 3) + 0 - 2? 1 What is the value of (19 - 38) + 22 + (7 - 1)? 9 What is the value of (-1 - -1) + (-10 - -15) - 7? -2 Calculate 11 + -1 + (-5 - -4). 9 Calculate -2 + (-11 - -22) + (3 - 7). 5 What is the value of (6 - (1 - -6)) + (2 - 4)? -3 What is the value of -1 + (5 - 2 - 4) - -10? 8 Evaluate -18 + 12 - (-1 + -1). -4 What is the value of 4 - (13 + -3 + -3
{ "pile_set_name": "DM Mathematics" }
2). 8 Let g(w) = -w**3 - 6*w**2 + 4*w + 9. Calculate g(-6). -15 Let v(t) = -8*t - 20. What is v(-2)? -4 Let w(h) = h**2 + 5*h - 14. Determine w(-6). -8 Let t(s) = -s**2 - 17*s - 72. Give t(-10). -2 Let l(v) = 3*v**2 + 45*v + 103. Give l(-12). -5 Let p(k) = -7*k + 3. Determine p(-2). 17 Let d(t) = -t**3 - 13*t**2 + 11*t + 4. What is d(-14)? 46 Let l(t) = t**2 - 21*t + 2. Determine l(20). -18 Let b(l) = 2*l**2 - 9. Determine b(-9). 153 Let o(h) = -6*h - 8. Give o(-6). 28 Let o(i) = -5*i + 61. Determine o(15). -14 Let m(x) = 2*x**3 - 13*x**2 + 8*x - 5. What is m(6)? 7 Let u(f) = -10*f**3 - 3*f**2 - 6*f - 2. What is u(-2)? 78 Let g(l) = -l**3 + 10*l**2 + 11*l + 2. Give g(11). 2 Let m(c) = -15*c**2 - c. Calculate m(-1). -14 Let p(j) = -j**3 - 12*j**2 - 6*j + 15. What is p(-11)? -40 Let s(f) = -f**3 - 26*f**2 + 28*f + 21. What is s(-27)? -6 Let o(v) = -2*v**2 - 6*v - 2. What is o(-5)? -22 Let z(w) = 2*w + 14. What is z(-8)? -2 Let v(z) = -2*z**2 + 2*z + 1. What is v(-1)? -3 Let z(q) = -q - 2. Calculate z(3). -5 Let u(l) = -l**2 + 13*l + 31. Give u(15). 1 Let d(w) = -4*w**2 + w + 1. Calculate d(-2). -17 Let i(q) = 2*q**3 + 2*q**2 - q - 4. Determine i(-3). -37 Let l(x) = -x**2 + 11*x - 12. What is l(12)? -24 Let j(q) = 6*q + 9. Determine j(4). 33 Let p(f) = 2*f + 47. What is p(0)? 47 Let d(r) = -7*r + 43. What is d(5)? 8 Let u(x) = -x - 1. What is u(1)? -2 Let o(n) = 17*n**3 + 4*n + 4. Determine o(-2). -140 Let j(p) = -p**3 - 33*p**2 + 32*p - 84. Calculate j(-34). -16 Let q(m) = m**2 + 41*m + 186. Give q(-36). 6 Let d(j) = -j. Calculate d(7). -7 Let z(a) = -a**3 + 6*a**2 + 3*a - 5. Give z(5). 35 Let h(n) = 25*n + 1. Give h(1). 26 Let r(b) = -b**3 - 23*b**2 - 20*b + 54. Calculate r(-22). 10 Let z(j) = 9*j - 70. What is z(7)? -7 Let v(a) = -43*a - 172. Give v(-4). 0 Let c(m) = -m**2 + 19*m - 8. Calculate c(19). -8 Let j(n) = -n**3 - 5*n**2 + 19*n + 13. What is j(-7)? -22 Let r(o) = o**2 + 10*o + 4. What is r(-4)? -20 Let k(q) = -q**3 - 7*q**2 - 12*q - 2. Give k(-5). 8 Let p(c) = c**2 + 14*c + 15. What is p(-13)? 2 Let v(b) = -2*b - 11. Determine v(-10). 9 Let p(h) = h**2 - 2*h + 11. What is p(-5)? 46 Let s(v) = 17*v + 102. Determine s(-6). 0 Let y(o) = 17*o + 424. Calculate y(-25). -1 Let g(w) = -4*w - 139. Give g(-29). -23 Let q(s) = -6*s + 3. Calculate q(6). -33 Let g(n) = -n**3 - n + 83. Determine g(0). 83 Let y(m) = -26*m + 124. What is y(5)? -6 Let s(o) = -o**3 + 5*o**2 + 5*o + 2. Calculate s(6). -4 Let a(i) = -7*i + 109. Calculate a(15). 4 Let y(b) = -3*b**2 - 7*b + 26. Give y(4). -50 Let o(n) = -n + 17. Determine o(-7). 24 Let r(x) = x**2 + 14*x - 20. Determine r(-14). -20 Let i(x) = -5*x**2 - 5*x + 9. Calculate i(-3). -21 Let m(k) = -k + 16. Give m(15). 1 Let o(z) = z**3 + 5*z**2 + 2*z + 1. Determine o(-3). 13 Let g(s) = s**2 + 3*s - 7. Calculate g(-6). 11 Let z(l) = -l**3 + 2*l**2 - 4*l - 3. Calculate z(-3). 54 Let y(o) = -o**2 - 6*o + 1. Calculate y(-3). 10 Let v(d) = 2*d**2 - 8*d + 11. Calculate v(5). 21 Let j(g) = -9*g**3 - g**2 + g + 2. What is j(1)? -7 Let o(m) = -2*m**3 + m**2 + 3*m + 5. Determine o(4). -95 Let r(n) = 2*n**3 + n**2 - n + 1. Calculate r(2). 19 Let z(i) = i - 6. Calculate z(9). 3 Let j(g) = 15*g - 31. What is j(-1)? -46 Let n(c) = -6*c + 5. What is n(5)? -25 Let a(b) = -2*b**2 + b + 18. What is a(-5)? -37 Let x(b) = -b**2 - 6*b - 5. What is x(-6)? -5 Let x(i) = i**3 - 8*i**2 - 10*i + 6. Determine x(9). -3 Let o(n) = -4*n - 23. Give o(-8). 9 Let z(t) = -7*t - 1. Calculate z(1). -8 Let k(b) = b**3 + b**2 + b + 2. Give k(-2). -4 Let n(g) = g**3 - 24*g**2 - 28*g + 61. Give n(25). -14 Let j(b) = -3*b**3 + 2*b**2 + 7*b + 5. Give j(-3). 83 Let d(z) = 26*z + 165. What is d(-7)? -17 Let d(y) = y**3 - 10*y**2 + 11*y - 3. Give d(8). -43 Let t(o) = o + 4. Calculate t(-7). -3 Let u(y) = y - 2. Calculate u(0). -2 Let n(l) = l**2 + 7*l + 14. Give n(-3). 2 Let z(n) = -n + 31. Give z(-9). 40 Let l(m) = 12*m + 53. Determine l(-5). -7 Let h(w) = 2*w**3 - 4*w**2 + 5*w - 4. Calculate h(2). 6 Let k(o) = o**2 - 18*o - 5. Determine k(19). 14 Let g(u) = -u**3 + 10*u**2 - 9*u + 4. Calculate g(9). 4 Let f(o) = o + 7. Determine f(7). 14 Let j(x) = -x**3 + 11*x**2 - 10*x - 24. Give j(10). -24 Let k(w) = w**3 - w**2 - w - 4. Calculate k(0). -4 Let f(n) = -57*n - 12. What is f(2)? -126 Let w(z) = -z**3 + 13*z**2 - 13*z + 8. Give w(12). -4 Let c(o) = -3*o**2 + 1. What is c(0)? 1 Let k(f) = -f**2 + 17*f + 28. Determine k(19). -10 Let d(k) = 12*k - 2. What is d(3)? 34 Let u(w) = w**2 - 9*w + 15. Calculate u(10). 25 Let a(b) = -b**2 - 3*b - 45. Determine a(0). -45 Let p(j) = j**3 - 3*j**2 - 14*j + 1. Determine p(6). 25 Let r(h) = h**3 - 13*h**2 + 12*h - 1. Give r(12). -1 Let h(k) = k**3 - 5*k**2 - 9*k + 8. Give h(6). -10 Let t(c) = 9*c + 10. Give t(-3). -17 Let i(r) = -r. Give i(-3). 3 Let y(f) = -f - 14. Give y(-8). -6 Let i(a) = 2*a - 2. Calculate i(2). 2 Let z(n) = 8*n**2 - 47*n - 11. What is z(6)? -5 Let r(s) = -s**3 - 36*s**2 + 3*s + 109. Give r(-36). 1 Let d(h) = 3*h**3 + 9*h**2 + 7*h - 2. Give d(-1). -3 Let w(m) = -m**3 - m**2 - m + 2. Give w(-2). 8 Let j(o) = -2*o**2 - 2*o - 4. Give j(-4). -28 Let m(k) = k**3 - k**2 + 7*k + 23. What is m(-2)? -3 Let k(w) = -337*w - 344. Calculate k(-1). -7 Let j(w) = 12*w - 41. Determine j(-4). -89 Let r(l) = -l**3 - 20*l**2 - 19*l + 24. Calculate r(-19). 24 Let v(l) = -l**3 + 11*l**2 + 14*l - 12. What is v(12)? 12 Let k(n) = -2*n + 2. What is k(-2)? 6 Let u(r) = r**2 + r - 23. Determine u(6). 19 Let a(b) = 27*b + 3. Give a(1). 30 Let c(m) = -m + 52. What is c(21)? 31 Let g(d) = 2*d - 10. What is g(5)? 0 Let x(c) = -32*c + 8. Give x(2). -56 Let m(h) = -h - 9. Calculate m(5). -14 Let z(k) = -k**3 + k**2 + 8*k + 15. Give z(-3). 27 Let d(v) = v**3 - 4*v**2 + 4*v - 3. What is d(3)? 0 Let g(s) = -3*s + 6. Calculate g(-2). 12 Let t(r) = -r**3 - 7*r**2 - 4*r + 21. What is t(-4)? -11 Let j(k) = 3*k**2 - 59*k + 14. What is j(20)? 34 Let j(s) = -s**3 - 8*s**2 - 5*s - 4. Give j(-6). -46 Let i(d) = d**2 - 13*d + 28. Calculate i(5). -12 Let o(j) = j**3 - 8*j**2 - 11*j + 6. Determine o(9). -12 Let v(w) = 2*w**2 - 7*w - 1. Give v(5). 14 Let q(z) = 8*z - 5. What is q(6)? 43 Let c(d) = d**3 - 19*d**2 + 17*d + 21. What is c(18)? 3 Let w(y) = y**3 - 18*y**2 - 19*y - 4. What is w(19)? -4 Let d(s) = s**2 - 12*s + 21. Give d(9). -6 Let b(g) = 11*g + 1. Determine b(-3). -32 Let w(n) = n**3 + 6*n**2 + 2*n + 7. Determine w(-6). -5 Let s(i) = i**3 + 11*i**2 - 12*i - 3. Calculate s(-12). -3 Let h(b) = -103*b - 5. Determine h(1). -108 Let u(x) = 14*x - 3. Calculate u(2). 25 Let v(i) = i + 4. Calculate v(3). 7 Let j(n) = -8*n + 29. Determine j(5). -11 Let u(h) = h**3 + 8*h**2 - h - 2. What is u(-8)? 6 Let o(j) = j**3 + 4*j**2 + 6*j + 12. Give o(-5). -43 Let f(t) = -t**2 + 5*t + 1. Give f(3). 7 Let m(t) = 31*t - 32. Determine m(1). -1 Let h(z) = -z**2 + 6*z - 4. Determine h(4). 4 Let z(p) = 3*p - 31. What is z(16)? 17 Let n(i) = -9*i - 6. Calculate n(-2). 12 Let w(b) = 5*b - 4. Give w(4). 16 Let w(q) = 18*q - 226. Determine w(13). 8 Let y(s) = s**2 + 4*s + 6. What is y(-4)? 6 Let w(c) = -c**2 - 8*c - 8. Determine w(-5). 7 Let v(t) = t**3 - 8*t**2 + 8*t + 1. What is v(7)? 8 Let r(w) = -3*w**3 + 2*w**2 - 2. What is r(2)? -18 Let l(w) = w**3 + 5*w**2 - 6*w - 2. Determine l(-5). 28 Let f(v) = v**3 - 6*v**2 + 3*v - 7. What is f(5)? -17 Let b(u) = 3*u**2 - 5*u + 12. Give b(4). 40 Let z(w) = -2*w + 2. What is z(-1)? 4 Let x(f) = 19*f - 17. Determine x(4). 59 Let u(l) = -l**3 - 3*l**2 + 2*l - 9. Calculate u(-4). -1 Let d(m) = m + 31. Calculate d(-13). 18 Let d(o) = 9*o + 44. Determine d(-5). -1 Let s(h) = -h**2 + 8*h + 25. Give s(-3). -8 Let p(j) = j**2 - j - 4. Determine p(4). 8 Let p(t) = 16*t**2 - 4*t - 3. Calculate p(-1). 17 Let i(d) = -d**3 - 5*d**2 + 12*d + 26. What is i(-6)? -10 Let v(y) = -12*y**2 + y - 1. What is v(-1)? -14 Let z(x) = 45*x - 185. Calculate z(4). -5 Let z(g) = -3*g**2 + 2*g - 1. Determine z(1). -2 Let n(s) = -s**2 - 4*s - 5. Determine n(-5). -10 Let g(h) = h + 26. What is g(-6)? 20 Let p(c) = -c**3 + 3*c**2 + 4*c - 17. Determine p(4). -17 Let o(a) = a**3 + 9*a**2 + 10*a + 10. Calculate o(-8). -6 Let w(s) = -8*s**2 - 4*s + 1. Give w(2). -39 Let b(t) = t**3 - 9*t**2 - 8*t - 15. What is b(10)? 5 Let h(n) = n**2 + 4*n + 4. Give
{ "pile_set_name": "DM Mathematics" }
7 = -6*r for f. 1 Solve 0 = 7*z - 0*j + 2*j - 27, -3*z - 111728 = 2*j - 111735 for z. 5 Solve 4*t = -947*z + 948*z + 4, -17 = -77*t + 3*z - 5 for t. 0 Solve 8*j - 212*i = -441*i + 232*i - 40, 0 = -4*j + 2*i - 24 for j. -2 Solve 2*o + 5*p = -2*o - 52, -5*o - 20 = 2777*p - 2782*p for o. -8 Solve -320*f + 13*f = -y - 616, 4*f + 0*f + 0*f - 2*y - 12 = 0 for f. 2 Solve 23039798*b - 23039805*b = l, 6*l - 3*l = 2*b + 46 for l. 14 Solve 140 = x + 5*w, 4*w - 91 = -5853*x + 5848*x for x. -5 Solve -36*r = -q - 33*r + 20, -r - 124 = -4*q for q. 32 Solve 2*i - 20*i + 5*i - 13 = -6*i + 17*h, 5*i = -h + 13 for i. 3 Solve 2*g = -3*z + 43, 0 = -6*z + 3677*g - 3678*g + 98 for z. 17 Solve 5*d - 4*x + 1656 - 784 - 832 = 0, 2*d - x = -13 for d. -4 Solve 0 = 13*k - 5*x - 32017 + 31992, 0 = -5*k + x - 7 for k. -5 Solve 2*i + 73 - 68 = v, -8*v + 52*i = 32 for v. 9 Solve 7*m + 11*m + 85 = 23*m - 5*i, -9 = 48*m - 53*m - 14*i for m. 13 Solve 97*h - 7561 = 275*w - 280*w, w + 11*h - 854 = -3*w for w. -1 Solve 38 = -v - 4*h + h, 0 = -5*v - 3*h - 130 for v. -23 Solve -66 = -49*s + 45*s - y, s - 5*y = -3*y + 12 for s. 16 Solve -4*d - c = -34, -4*d + 390*c + 52 = 392*c for d. 4 Solve 22*h = -4*n + 6*n + 74, -8*h + 18*h - n - 22 = 4*h for h. 3 Solve -32*y + 31*y + 10417*v - 10421*v + 25 = 0, 26 = -4*y + 2*v for y. -3 Solve 138 = -2*k - 4*a, 5*a - 2076 = -5*k - 2251 for k. -1 Solve 0 = -2*n - 4, 4*o - 5428248 = 5*n - 5428246 for o. -2 Solve 11*l - j + 85 = -0*l, 7*j - 57464 = l + 4*j - 57465 for l. -8 Solve 0 = t + 8 + 2, 0 = -4*l - 242*t + 237*t - 42 for l. 2 Solve 0 = r + 5*r + 33*w - 28*w + 6, -29*r + 3*w - 16 - 13 = 0 for r. -1 Solve -2*i + 3*v + 2*v = 132, 0 = -5*i + 147*v - 194*v + 1217 for i. -1 Solve z - g = 3*g - 32 - 21, 0 = -17*z - 5*g + 100 + 21 for z. 3 Solve 0 = -28*x, l + 3*x + 2*x + 36 = 3*l + 9*x for l. 18 Solve s = 3*s - 2*z - 0*z - 4, s - 90*z + 95*z + 28 = 0 for s. -3 Solve -10*f + 34 - 94 = 0, 5*d - 2*f - 2 = 0 for d. -2 Solve 46 = 5*y + 2*m - 153, y - 24 = -25339*m + 25334*m + 2 for y. 41 Solve 5*m - 70 = -3*q, 31*m - 19 = q - 0 + 1 + 22 for m. 2 Solve -11*w = -17*w - 2*z + 38, 8 + 9 = w - 5*z for w. 7 Solve -5*h + 4447*p - 3 + 7 = 4451*p, 88*h - 5*p + 382 = 0 for h. -4 Solve -5*q + 13 + 81 = 2*x - 13*q, 22*x + 2*q = -4*x - 228 + 920 for x. 27 Solve -5 = 16*p + 154950*j - 154945*j, -4*p - 2*j - 2 = 0 for p. 0 Solve 4*x + 21 = 5*m + 2*x, 60722*m - x + 18 = 60729*m for m. 3 Solve 5*o + 260 - 254 = 2*c - 4*c, 3*o - 9 = 3*c for c. -3 Solve 2*k + 3*v = -0*k - 2, -120*v - 6 = 6*k - 112*v for k. -1 Solve 7*t - 6*t = -2*w - 3*t - 102, 2*t = -63*w - 2*t - 3823 for w. -61 Solve -2*s = 7*k - 4*s - 32, -3*s - 342 = -79*k + 52*k - 57*k for k. 4 Solve 2*w = -5*b + 23, 4*b - 8496 + 8473 = 3*w for w. -1 Solve -1315*h = -1317*h - 2*a - 28, 5*h - 4*a = -97 for h. -17 Solve 5*q = -b + 5, 5*q + 72070 - 71970 = 6*b for b. 15 Solve 57235*j - 57234*j = 10*t + 38, t - 5*j + 141 = 0 for t. -1 Solve 0 = -4*m + 7*t + 230, 5*m - 140 + 584 + 144 = -17*t for m. -2 Solve -5*c + 16*o - 167 = 0, 51*o - 50*o - 12 = 0 for c. 5 Solve 79*s - 74*s + 4*n - 159 = 0, 57 = 3*s + 12*n for s. 35 Solve -b = 5*b + 4*a - 24, -b + 0*b + 4*a - 456 + 446 = 0 for b. 2 Solve 15423 - 15318 = -5*i - 5*s, 2*i + 45 = s for i. -22 Solve -5*c = 3*s - 0*c - 70, -812*s + 817*s + 8 = 3*c for s. 5 Solve -306*a - 20*l - 72 = -310*a, 24 = a - 7*l for a. 3 Solve 0 = -b - 4*h + 14, -4*b = 5*h + 4306 - 4329 for b. 2 Solve 6*v + 3*k - 25 = 11*v - 26, -2*v = -0*v + 3*v + 2*k + 34 for v. -4 Solve -3*y + 91 = 2*b - 21, 3*b - 1984*y = -1982*y + 142 for b. 50 Solve -3*j - 2155*i + 2152*i + 12 = 0, 2*j = -5*i - 1 for j. 7 Solve 4*y + 6*r + 4*r - 29261 = -29277, -13 = 3*y + 4*r - 8 for y. 1 Solve 2*c = 2*l + 2, -8*c + l - 2*l - 25 = -13*c for c. 6 Solve -846*j + 1687*j = 845*j + 5*p - 30 + 10, -5*p - 65 = 21*j for j. -5 Solve 1110*r - 534 = 1093*r + 2*l, 4*r - l = 123 for r. 32 Solve -2*d - 16 = -5*l, 3816*l - 4*d = 3813*l + 18 for l. 2 Solve -v - 3*v + 134 = 5*w, -102 = -815*v + 818*v - 3*w for v. -4 Solve 0 = -3*w + z - 17, 658*w = -602*w + 1282*w + 4*z - 136 for w. 2 Solve -2*u - q + 8 = 0, 342 + 24 + 115 = u + 80*q for u. 1 Solve -3*m - 2*h - 200 = 0, -88080*h - 215 = 3*m - 88081*h for m. -70 Solve c - 20 = 5*d + 6*d - 21, 69 = -d - c + 32 for d. -3 Solve 5*y - 39*r + 103 = -63*r, -y + 3 = -7*r for y. -11 Solve -2*h + 3*h - 28*y + 653 + 400 = 215, -4*y + 116 = -2*h for h. 2 Solve 31*t - 124*t = 4*d + 307, 4*d + 31 = -t for t. -3 Solve 4*b - 30 = -x - 142, -5*b - 140 = 2*x for x. 0 Solve -3*y + 13*d + 8 = 17*d - 12, -28*y + 29*y + 4 = 4*d for y. 4 Solve 0 = -190*w - 4*n + 2458, -388*n + 387*n = 4*w - 49 for w. 13 Solve -3*c + 166 = 5*g, -11*g - 32 = 2*c - 13*g + 44 for c. -3 Solve 5*n + 20 = -6*r + r, -569*r + 570*r + 14 = -6*n for n. -2 Solve -48 = 6*r, -2*f - 2*r + 660 = -0*r + 678 for f. -1 Solve -n + 2*b - 514 = 502 - 1023, -6*n + 5*b + 28 = 0 for n. 3 Solve -2*s + 387187 = 2*i + 387181, 28*s = i + 26 for s. 1 Solve 4*h = 60, -146*k = -145*k + 2*h - 34 for k. 4 Solve -3*r + 43 = -4*h, 8*r + 27 - 129 = -2*h for r. 13 Solve -20 = -3*v + 2*i, 3*i - 36 - 1 = -2*v - 13*i + 11 for v. 8 Solve 0 = -872973*w + 872976*w + q + 123, 0 = -3*w - 10*q - 123 for w. -41 Solve -p + 2*k = 48, -3230*p + k + 163 = -3323*p for p. -2 Solve -12*c = -2*o - 6*c - 11*c + 83, 5*o = c - 22 for o. -1 Solve 221 = 3*f - 2*g, 4*f - 22796*g = -22795*g + 303 for f. 77 Solve -50 = 10*v, 2433*h - 2431*h - 23 = 5*v for h. -1 Solve 22 = 4*n + 14, -5*t + 0*t - 180 = -71*n - 9*n for t. -4 Solve 3*f = -a + 6 - 16, 169*a - 4*f + 668 = 0 for a. -4 Solve 1582*n - 2*u + 0*u + 42 = 1586*n, 4*u = n + 57 for n. 3 Solve 5*g - 7 - 61 = -18*a, 26*a - 30*a = -3*g + 26 for a. 1 Solve 0 = 4*t - 4*g - 52, 11*g - 1000 + 1039 = -2*t for t. 8 Solve 0 = -v + 4*g - 73, 0 = -4*v + 7459*g - 7456*g - 227 for v. -53 Solve 3*n + 62 + 55 = 6*a, -2*a + 3*a + 6*n - 6 = 2*n for a. 18 Solve -4*v = o + 21, -2*o - 10*v - 1506 = -1456 for o. -5 Solve 4940*o = -r + 4936*o + 217, -25*r + 2*o = 83 for r. 1 Solve 2*f = -3*a + 20, 16*f + 54 = 12*a + 17*f + 2 for a. 4 Solve -3*p + 9 = -2*v, 15*p - 10*p - 2 = -v for p. 1 Solve 18*w + 4*n = 13*w - 84, -45 - 15 = -9008*w + 9003*w + 5*n for w. -4 Solve -r + 3*o = -0*o - 25, -14*o + 315 = -3*r + 6*r - 53*o for r. 1 Solve 33500*s - 2 = p + 33501*s, -s + 18 = -3*p for p. -5 Solve 230*q - 231*q = -4*r - 89, -21*q = -27*r - 558 for r. -23 Solve -324 = 17*f - 32*f + 16*f + 63*x, -25*f = -22*f + 5*x + 52 for f. -9 Solve 5*y = 3*f - 14, -24*f + 9*f = -y - 12*f - 10 for y. -1 Solve 2*h - 2*h + 4028 - 3977 = 3*h - 5*r, h + 5*r = 37 for h. 22 Solve 0 = 420*f - 425*f + 3*d + 149, -5*f + 7*d + 161 = 0 for f. 28 Solve 193*d - 189 = 4*p, 5*p - d - 46724 = -46720 for p. 1 Solve -g + 36 = -3*z - 0*g, -66*z = -67*z - 18*g + 373 for z. -5 Solve 2 = u - 2, -5*d + 2*d + 13*u = -16*u + 4*u + 88 for d. 4 Solve 0 = 3*l + 5*k - 1828 + 1991, -4*l - 169 = -3*k for l. -46 Solve 5*p = -15*b - 15, 888*p - 889*p - 1 = b for b. -1 Solve -238*w - 240*w - 235*w + 16 = -2*y - 722*w, 32 = -4*y - w for y. -8 Solve -5*t = -2*k - 275, -66*k = -67*k - 31*t + 30*t + 55 for k. 0 Solve 5*u + 12*s + 575 = -12*s, -u - 5*s = 8*u + 80 for u. 5 Solve 12*b + g - 27 = 11*b, -27 + 192 = 5*b + 11*g for b. 22 Solve -11*y + 6*y + 4*q + 37 = 0, -y - 3*q + 12850 = 12873 for y. 1 Solve 2*b + 8*r = -14, 4*b - 10*b = -8*b + 5*r - r - 14 for b. -7 Solve -5*d + 324 = 9*r, -5*r - d - 4*d + 150 + 30 = 0 for r. 36 Solve 4*d - 90*a + 89*a = -21, 0 = -7*d + 3*a - 6*a - 32 for d. -5 Solve 4*c - 2*u + 16 = 0, -49*u + 14341 = -7*c + 2*c + 14321 for c. -4 Solve 4*u + 1688 - 1752 = -2*h - 4*u, 2*h + 5*u - 37 = 0 for h. -4 Solve 7*z - 3*b + 121 = 182, -6*z = -b - 0*b - 57 for z. 10 Solve 8*a = -56, -9*b - 4*a + 3 = -4*b + 6 - 0 for b. 5 Solve -2*h - 11*h - 151 = 7*w - 12*w, -11*w = -4*h - 37 for h. -12 Solve -123*f + 57*f - 31 = -55*f - 2*w, -10*f - 5*w = 110 for f. -5 Solve 3*y = 8*w - 177, 3*y - 89 = -4*w - 396 + 166 for y. -51 Solve -d - 4*a - 27 = 0, -4*d - 415*a - 164 = -385*a for d. -11 Solve 7048*d = y + 7050*d - 82, 5*d = 2*y - 182 for y. 86 Solve 4*r + 93 = -161*l + 152*l - 271, -3*l - 4*r = -2*r + 122 for l. -40 Solve -4*v + 146 = -6*p, 17*p - 975 = v - 1089 for p. -5 Solve 5*m - 4 - 16 = 5*y, -5*m + 15 = -4*y
{ "pile_set_name": "DM Mathematics" }
+ 16. Let p(x) be the third derivative of m(x). Factor p(f). -2*f*(f - 2)/7 Let g be 5 + -30 + 20 + 150/26. Factor -2*d**2 + 8/13 + g*d**3 + 8/13*d. 2*(d - 2)*(d - 1)*(5*d + 2)/13 Let y be 17176/(-22035) + 4/5 + 2/15. Suppose 8/13*t**3 - y*t**2 - 8/13*t + 2/13 = 0. What is t? -1, 1/4, 1 Let a(z) = -6*z**4 + 76*z**3 + 954*z**2 + 1680*z + 784. Let b(v) = v**4 + v**3 + v**2 + 2. Let u(y) = -a(y) - 8*b(y). Determine g so that u(g) = 0. -20, -1 Let i = -12648 - -12648. Suppose -d**3 + i*d + 0*d**2 + 0 + 1/5*d**4 = 0. What is d? 0, 5 Let z(p) be the second derivative of p**6/30 + 26*p**5/5 + 306*p**4 + 23120*p**3/3 + 39304*p**2 + 901*p. Suppose z(i) = 0. Calculate i. -34, -2 Let o(p) be the third derivative of -p**5/30 - 2*p**4 + 25*p**3/3 - 171*p**2. Determine g so that o(g) = 0. -25, 1 Let i = -4072/70035 - -2/2001. Let p = 41/105 + i. Factor -2/3 - a - p*a**2. -(a + 1)*(a + 2)/3 Suppose -8/7*d**5 + 24/7*d**4 + 0 - 2/7*d**3 - 24/7*d**2 - 8/7*d = 0. What is d? -1/2, 0, 2 Let p(c) be the second derivative of -15*c**7/7 - 29*c**6/5 + 307*c**5/10 - 241*c**4/6 + 74*c**3/3 - 8*c**2 + c + 182. Solve p(t) = 0 for t. -4, 1/3, 2/5, 1 Let a = 2543/12 + -632/3. Find j such that 1/4*j**2 + 1 + a*j = 0. -4, -1 Let k be (21/35*15)/3. Let w = 73/39 + -8/39. Factor -2/3*g - 4/3*g**k + 0 + 1/3*g**4 + w*g**2. g*(g - 2)*(g - 1)**2/3 Let m = 24 + -26. Let x be m/6 + 221/51. Factor 33*i**3 - 6*i**3 + 21*i**x + 6*i**2 + 0*i**2. 3*i**2*(i + 1)*(7*i + 2) Factor 5/2*t**4 - 5/2*t**2 + 0 - 5/2*t + 5/2*t**3. 5*t*(t - 1)*(t + 1)**2/2 Let x = 1078/3 - 18347/51. Let b = 199/153 + x. Find a such that 10/9*a**4 + 0 + 8/9*a - 26/9*a**3 + b*a**2 = 0. -2/5, 0, 1, 2 Solve 45*c**5 + 168*c**4 + 7*c**3 - 68*c**4 + 13*c**3 = 0. -2, -2/9, 0 Suppose 0 = 5*c + 4*v - 5, -5*c + 10 = -v - 20. Let d(f) = f**2 - 3*f - 4. Let b be d(c). Solve 6*u - b*u - 5*u**2 - u**2 - 3*u**3 = 0. -2, 0 Let p(u) be the first derivative of u**6/360 - u**5/24 + u**4/6 - 7*u**3 - 27. Let i(r) be the third derivative of p(r). Let i(h) = 0. Calculate h. 1, 4 Suppose -2*t = 4*i - 108, 0*i = -2*t + 2*i + 126. Solve -45 + 25 - 38*d**2 - 17*d**2 + 5*d**5 - t*d + 15*d**4 - 5*d**3 = 0 for d. -2, -1, 2 Let m(f) be the third derivative of -f**6/240 + 7*f**5/120 - f**4/3 + f**3 + 2*f**2 + 17*f. Factor m(a). -(a - 3)*(a - 2)**2/2 Let j(x) be the first derivative of x**4/48 + 5*x**3/12 + 2*x**2 - 16*x/3 - 79. Solve j(d) = 0 for d. -8, 1 Let -5/2*w**2 + 22*w - 7/2*w**3 - 6 = 0. Calculate w. -3, 2/7, 2 Let j = -1599 + 1601. Let i(p) be the first derivative of -5/3*p**3 - 80*p + 20*p**j + 11. What is m in i(m) = 0? 4 Let h(g) be the second derivative of -g**6/60 - 11*g**5/40 - 43*g**4/24 - 23*g**3/4 - 9*g**2 + 16*g. Suppose h(o) = 0. Calculate o. -4, -3, -1 Let a(r) be the third derivative of r**8/48 + 31*r**7/210 + 32*r**6/105 - 2*r**5/105 - 10*r**4/21 + 8*r**3/21 + 74*r**2 - 2. Let a(g) = 0. Calculate g. -2, -1, 2/7 Factor 4*o**4 - 625*o + 609*o - 31*o**2 + 32 - 3*o**3 + 7*o**3 + 7*o**2. 4*(o - 2)*(o - 1)*(o + 2)**2 Let p(c) = -12*c**4 + 22*c**3 + 12*c**2 - 12*c. Let g = -111 - -110. Let q(n) = -n**4 + n**3 + n**2. Let v(j) = g*p(j) + 10*q(j). Solve v(x) = 0 for x. -1, 0, 1, 6 Let s(g) be the second derivative of g**4/30 + 92*g**3/15 + 2116*g**2/5 + 250*g. Solve s(f) = 0 for f. -46 Let u(j) be the first derivative of 12/19*j**2 - 26/57*j**3 - 2/95*j**5 + 12 + 3/19*j**4 - 8/19*j. Factor u(f). -2*(f - 2)**2*(f - 1)**2/19 Let r(k) be the third derivative of k**7/5460 + 11*k**6/4680 - k**5/195 - 3*k**4/8 - 19*k**2. Let g(v) be the second derivative of r(v). Factor g(o). 2*(o + 4)*(3*o - 1)/13 Let m be (-160)/440 + 380/77. Factor 2/7*f**2 + m - 16/7*f. 2*(f - 4)**2/7 Let g(p) be the third derivative of -2*p**6/15 + 7*p**5/5 - 3*p**4 - 18*p**3 - 2*p**2 + 1. Factor g(f). -4*(f - 3)**2*(4*f + 3) Let j(t) = -3*t. Let f be j(-1). Factor 2*z**2 - 21 - 18 + 4*z**f + 39 + 2*z**4. 2*z**2*(z + 1)**2 Let y(u) be the first derivative of -u**4/9 + 8*u**2/3 - 17*u - 8. Let f(k) be the first derivative of y(k). Find a such that f(a) = 0. -2, 2 Suppose 46*j + 82*j = -7*j + 405. Find x such that -1/9*x - 1/9*x**5 + 2/9*x**j + 0 + 0*x**4 + 0*x**2 = 0. -1, 0, 1 Let z(i) be the second derivative of -i**4/16 - 5*i**3/8 - 9*i**2/4 + 2*i + 19. Find s such that z(s) = 0. -3, -2 Let l be (-2245)/(-8082) + (1 - (-14)/(-18)). Factor 3/2*u**2 + 0*u + 0 + l*u**3. u**2*(u + 3)/2 Factor 7/3 + 5/6*v - 1/6*v**2. -(v - 7)*(v + 2)/6 Let x(z) be the second derivative of -z**7/315 - z**6/180 + z**5/90 + z**4/36 + z**2/2 + 10*z. Let k(m) be the first derivative of x(m). Factor k(w). -2*w*(w - 1)*(w + 1)**2/3 Let y be 88/(-72) - 1*(-6)/27. Let s be (33/(-24))/(1/(-4)) + y. Solve 3*a + s + 1/2*a**2 = 0 for a. -3 Factor 4/7*v + 2/7*v**2 + 2/7. 2*(v + 1)**2/7 Let z(c) be the third derivative of -2/1995*c**7 - 10*c**2 + 1/228*c**6 + 0*c + 0 + 1/95*c**5 - 5/57*c**4 + 8/57*c**3. Suppose z(u) = 0. What is u? -2, 1/2, 2 Suppose 0 = -52*p - 29*p + 162. What is z in 0 - 4/7*z**p + 10/7*z**4 + 0*z - 6/7*z**3 = 0? -2/5, 0, 1 Let x be (59/59)/((-4)/(-11)). Let i(n) be the first derivative of -3/2*n - 3/10*n**5 - 1/36*n**6 - x*n**2 - 5/4*n**4 - 23/9*n**3 + 7. Factor i(y). -(y + 1)**3*(y + 3)**2/6 Let r be (41/164)/((-3)/(-24)). Factor 4/5*z**4 - 4/5*z**r + 0*z**3 + 0 + 0*z. 4*z**2*(z - 1)*(z + 1)/5 Let h(x) be the first derivative of 169*x**4/3 - 52*x**3/9 + x**2/6 - 61. Find d, given that h(d) = 0. 0, 1/26 Let n(s) be the second derivative of 19*s**6/240 - 37*s**5/160 + 17*s**4/96 + s**3/48 + s - 21. Factor n(z). z*(z - 1)**2*(19*z + 1)/8 Suppose 0 = -5*j - 0*l + 3*l + 20, 3*j = -5*l + 12. Let p = 6 + 2. Factor 0*d**2 + 5*d**2 - p*d**3 + 8*d - 12*d**j + 7*d**2. -4*d*(d - 1)*(d + 1)*(3*d + 2) Let q(r) be the second derivative of -r**7/140 - 23*r**6/300 - r**5/20 + r**4/4 + 13*r**3/60 - 7*r**2/20 + 5*r - 1. Determine z, given that q(z) = 0. -7, -1, 1/3, 1 Let a be 0 + -1*(-297)/45. Find k, given that a*k - 6/5 - 42/5*k**2 = 0. 2/7, 1/2 Suppose -9*z + 191*z**2 + 190*z**2 - 384*z**2 = 0. What is z? -3, 0 Let t(n) = n**3 + 6*n**2 + 294*n + 2109. Let g be t(-7). Solve 0 + 1/2*z**g - 2*z = 0. 0, 4 Let f(m) be the second derivative of 5*m**7/42 + m**6 - 7*m**5/4 - 18*m. What is z in f(z) = 0? -7, 0, 1 Let r(z) = -35 + 64*z**2 + 0*z + 3*z - 63*z**2. Let k be r(5). Factor -1/3*d**2 + 0 + 1/3*d**4 + 1/3*d**3 - 1/3*d**k + 0*d. -d**2*(d - 1)**2*(d + 1)/3 Let a(f) be the second derivative of f**6/30 - f**4/2 - 4*f**3/3 - 3*f**2/2 - 25*f - 1. Factor a(z). (z - 3)*(z + 1)**3 Let b(y) = -2*y**3 - 14*y**2 + 52*y - 52. Let r(u) = 4*u**3 + 30*u**2 - 105*u + 103. Let z(i) = -9*b(i) - 4*r(i). Factor z(g). 2*(g - 2)**2*(g + 7) Let h(p) be the third derivative of -p**5/420 + 2*p**4/3 - 224*p**3/3 + 66*p**2. Factor h(j). -(j - 56)**2/7 Factor 0 - 6/11*l**5 + 2/11*l + 0*l**2 - 16/11*l**4 - 12/11*l**3. -2*l*(l + 1)**3*(3*l - 1)/11 Let -21*i**4 - 3/4*i**5 + 0 - 432*i - 183*i**3 - 504*i**2 = 0. What is i? -12, -2, 0 Let l(o) = -o**2 - 5*o + 66. Let s be l(-11). Let u(v) be the third derivative of -1/75*v**5 + s*v**3 + 3*v**2 + 0 + 1/300*v**6 + 1/60*v**4 + 0*v. Factor u(b). 2*b*(b - 1)**2/5 Let o(z) be the first derivative of z**5/60 + z**4/24 - z**3/3 + 7*z**2/2 - 12. Let b(v) be the second derivative of o(v). Factor b(h). (h - 1)*(h + 2) Let z be 6 - 1 - 9360/13. Let m be (156/z)/(6/(-20)). Factor -16/11*k**2 + m*k + 0 + 10/11*k**3 - 2/11*k**4. -2*k*(k - 2)**2*(k - 1)/11 Suppose -2*f + 14 = 2*v, -2*v + 1023 - 1013 = 0. Determine m, given that -9/7 - 3/7*m**f + 12/7*m = 0. 1, 3 Find q such that 21/2*q**2 - 1/2*q**3 - 60*q + 50 = 0. 1, 10 Suppose 4*v = -4*s - 16, -5*s = 362*v - 360*v + 8. Factor -1/4*n**2 - n + s. -n*(n + 4)/4 Let o(d) be the third derivative of -338/3*d**3 + 0 - 1/15*d**5 + 12*d**2 + 13/3*d**4 + 0*d. Find m such that o(m) = 0. 13 Factor -14*b**3 - 77 + 20 - 13*b**3 - 33*b**2 + 31 + 27 - 5*b. -(b + 1)*(3*b + 1)*(9*b - 1) Let o(i) be the second derivative of -i**4/60 + i**3/15 + 7*i**2/2 + 6*i + 12. Factor o(w). -(w - 7)*(w + 5)/5 Let f(x) = -x**3 - 2*x**2 + 3. Let k be f(-3). Suppose -9 - 1 = -5*u. Determine t so that -2*t - k*t**3 + 3*t**5 + 23*t**u - 31*t**2 - 8*t**4 - 5*t**5 = 0. -1, 0 Factor 46/7*t**2 - 16/7*t**3 + 24/7 + 2/7*t**4 - 8*t. 2*(t - 3)*(t - 2)**2*(t - 1)/7 Let i(w) be the seco
{ "pile_set_name": "DM Mathematics" }
8383, -68385, -68387, -68389, -68391? -68393 What comes next: 436, 882, 1326, 1768, 2208? 2646 What comes next: -1916, -3813, -5710, -7607? -9504 What comes next: -25, -285, -1005, -2413, -4737, -8205, -13045, -19485? -27753 What is next in -5115, -40865, -137875, -326775, -638195? -1102765 What is next in 1509, 1870, 2471, 3312, 4393? 5714 What comes next: 594, 611, 628, 645? 662 What is next in -727740, -727743, -727746, -727749? -727752 What comes next: 126, 136, 132, 108, 58? -24 What is next in 169, 668, 1497, 2656, 4145, 5964? 8113 What is next in 655, 2616, 5881, 10450, 16323, 23500, 31981? 41766 What is the next term in 335, 526, 723, 926? 1135 What is next in 2119, 4188, 6257? 8326 What is next in 135, -100, -749, -2016, -4105, -7220, -11565, -17344? -24761 What is the next term in 4528, 9053, 13578, 18103, 22628, 27153? 31678 What comes next: 26, 155, 486, 1115, 2138, 3651, 5750, 8531? 12090 What is next in -88, -88, -70, -28, 44, 152? 302 What is next in 30368, 60738, 91108, 121478, 151848, 182218? 212588 What is the next term in -5984, -5949, -5914, -5879, -5844, -5809? -5774 What is next in 47, 46, 15, -46? -137 What is the next term in 358, 564, 770? 976 What is next in 67, 278, 615, 1066, 1619, 2262, 2983, 3770? 4611 What comes next: 121, 84, 21, -68, -183? -324 What is the next term in -143067, -286137, -429207, -572277, -715347? -858417 What comes next: 516, 1068, 1620, 2172, 2724? 3276 What comes next: -2474, -4288, -6100, -7910, -9718? -11524 What is next in -99, -314, -555, -822, -1115, -1434, -1779? -2150 What comes next: -262, -1180, -3680, -8554, -16594, -28592, -45340, -67630? -96254 What is the next term in 4903922, 9807843, 14711764, 19615685, 24519606, 29423527? 34327448 What is next in 56, 239, 490, 755, 980, 1111? 1094 What comes next: 74, 328, 756, 1364, 2158, 3144? 4328 What is next in -9329, -9315, -9291, -9257? -9213 What is the next term in -86, -245, -526, -941, -1502? -2221 What is the next term in -3036, -3027, -3018, -3009, -3000? -2991 What comes next: -293, -567, -823, -1061? -1281 What is the next term in -18310, -18106, -17892, -17662, -17410, -17130, -16816, -16462? -16062 What is next in 1778, 3619, 5460, 7301, 9142? 10983 What is next in -170265, -170247, -170231, -170217, -170205, -170195, -170187? -170181 What is the next term in 2756, 5875, 9358, 13205, 17416, 21991, 26930? 32233 What is next in 461700, 461704, 461708? 461712 What comes next: -20973, -20970, -20967, -20964, -20961, -20958? -20955 What is the next term in 771, 786, 811, 846? 891 What is the next term in -53047, -106109, -159171? -212233 What comes next: -153, -213, -279, -351, -429, -513? -603 What is next in -1884, -1891, -1908, -1941, -1996, -2079? -2196 What comes next: 404, 806, 1234, 1700, 2216, 2794? 3446 What comes next: 21994, 87995, 198004, 352027, 550070, 792139? 1078240 What comes next: -4422, -8932, -13442, -17952, -22462, -26972? -31482 What comes next: -358, -284, -160, 14, 238, 512, 836? 1210 What comes next: -247, -639, -1177, -1867, -2715, -3727? -4909 What is the next term in -337, -678, -1021, -1366, -1713? -2062 What is the next term in 1032, 974, 878, 744? 572 What comes next: 8223, 16606, 24989, 33372, 41755, 50138? 58521 What comes next: 39708, 79422, 119136, 158850, 198564, 238278? 277992 What is next in 3183, 6452, 9721, 12990, 16259, 19528? 22797 What comes next: 5760, 5785, 5810, 5835, 5860? 5885 What is next in 6767, 13540, 20313, 27086, 33859, 40632? 47405 What is next in 10152, 10153, 10154, 10155, 10156, 10157? 10158 What is the next term in 47076, 47073, 47068, 47061? 47052 What is next in -943, -903, -865, -829? -795 What is next in 388, 1619, 3670, 6541, 10232? 14743 What is next in -20, 209, 438, 667, 896, 1125? 1354 What comes next: -92663, -185324, -277985, -370646, -463307? -555968 What is next in 4280, 8546, 12802, 17048, 21284? 25510 What is the next term in 52722, 105449, 158176, 210903? 263630 What is the next term in -1255, -1224, -1193, -1162, -1131, -1100? -1069 What comes next: 21, -111, -237, -345, -423, -459? -441 What is the next term in -78, -210, -406, -666? -990 What comes next: 1637643, 1637644, 1637645, 1637646? 1637647 What is the next term in -1330, -2389, -3448, -4507, -5566, -6625? -7684 What is next in -43941, -43969, -43997, -44025, -44053? -44081 What comes next: -7026, -14053, -21080, -28107, -35134? -42161 What is the next term in 40741, 81471, 122187, 162883, 203553, 244191, 284791, 325347? 365853 What is the next term in -7524, -7516, -7508? -7500 What comes next: -59972, -59943, -59888, -59801, -59676, -59507, -59288? -59013 What is next in 119, 457, 1021, 1811? 2827 What is the next term in -5214, -10406, -15592, -20772? -25946 What is next in -739, -2903, -6495, -11515? -17963 What comes next: -85, -671, -2255, -5335, -10409? -17975 What comes next: -566, -2268, -5104, -9074, -14178, -20416? -27788 What is the next term in 9800, 19574, 29342, 39104, 48860? 58610 What is the next term in -4, 173, 720, 1823, 3668, 6441, 10328? 15515 What is the next term in 1172, 1151, 1118, 1073? 1016 What is next in 3070, 12297, 27676, 49207, 76890, 110725, 150712? 196851 What is next in 23488, 23490, 23492? 23494 What is the next term in 1622, 3170, 4716, 6260, 7802, 9342? 10880 What comes next: -5491, -11008, -16555, -22132, -27739, -33376, -39043? -44740 What is the next term in -92, -177, -260, -341, -420, -497, -572? -645 What is next in 734, 846, 972, 1118, 1290, 1494, 1736, 2022? 2358 What is the next term in 74, 180, 320, 494, 702, 944? 1220 What is next in -409, -532, -745, -1054, -1465? -1984 What is the next term in -884, -763, -564, -287, 68, 501, 1012? 1601 What comes next: 51547, 103090, 154635, 206182, 257731, 309282, 360835? 412390 What is the next term in 961640, 1923276, 2884910, 3846542, 4808172, 5769800, 6731426? 7693050 What is next in -444296, -444300, -444294, -444272, -444228, -444156? -444050 What is the next term in 1011, 2179, 3347, 4515, 5683? 6851 What comes next: -339480, -339458, -339416, -339348, -339248, -339110, -338928, -338696? -338408 What comes next: -337, -493, -755, -1123, -1597, -2177? -2863 What comes next: 25188, 100718, 226592, 402810, 629372, 906278? 1233528 What is next in -119, -1015, -1923, -2849, -3799, -4779? -5795 What is the next term in -7205, -7221, -7263, -7343, -7473, -7665, -7931, -8283? -8733 What comes next: -1093, -4522, -10241, -18256, -28573, -41198, -56137, -73396? -92981 What is next in -1086, -1085, -1084, -1083? -1082 What is the next term in -2633, -10767, -24323, -43301, -67701, -97523? -132767 What is the next term in 333409, 666819, 1000229, 1333639? 1667049 What is next in -56275, -56286, -56311, -56356, -56427? -56530 What is next in 399, 2034, 6163, 14034, 26895, 45994, 72579, 107898? 153199 What is next in -9185, -9212, -9257, -9326, -9425, -9560, -9737, -9962? -10241 What is next in -129, 56, 563, 1554, 3191, 5636, 9051? 13598 What comes next: -94, -130, -272, -568, -1066? -1814 What is next in 3277383, 3277382, 3277381, 3277380, 3277379, 3277378? 3277377 What comes next: -479, -1124, -1931, -2900? -4031 What is next in 122, 243, 340, 401, 414, 367, 248? 45 What is the next term in 99, 341, 781, 1455, 2399? 3649 What is the next term in 26157, 52346, 78533, 104718? 130901 What comes next: -13, -82, -209, -394? -637 What is next in 2629, 5257, 7883, 10507, 13129, 15749? 18367 What comes next: 258, -1198, -3624, -7020? -11386 What is the next term in -93, -773, -2615, -6201, -12113, -20933, -33243? -49625 What is the next term in -24697, -24696, -24695, -24694, -24693? -24692 What is next in -142, 101, 516, 1109, 1886, 2853, 4016? 5381 What is the next term in -9664, -9610, -9520, -9394? -9232 What is the next term in 575939, 575937, 575935, 575933, 575931, 575929? 575927 What comes next: -824, -805, -776, -737, -688, -629, -560? -481 What is next in -13300, -13366, -13432, -13498, -13564? -13630 What is the next term in -136, -676, -1216, -1756? -2296 What is next in -1492, -2984, -4478, -5974, -7472? -8972 What is the next term in -1127084, -1127085, -1127096, -1127123, -1127172, -1127249, -1127360, -1127511? -1127708 What is next in 11, 106, 273, 506, 799, 1146, 1541, 1978? 2451 What comes next: 97, 7
{ "pile_set_name": "DM Mathematics" }
u*b + i*b**4 + h*b**3 and give x. 1 Express (-3*v + 2*v + 0*v)*(-38 + 8 - 2*v - 5) + 2*v**2 - 3*v**2 + 2*v**2 in the form d*v + k*v**2 + q and give d. 35 Express 2*p - p - 8 - 12 - 1 in the form b + o*p and give o. 1 Rearrange 2*k - k + 0*k - 3*k + 0*k + k + (2 + 1 - 1)*(4*k - 4*k + 2*k) + 15*k - k + 7*k to the form v + c*k and give v. 0 Express 59*y + 159*y + 254*y - 5*y + 3*y + y + (-3 + 2*y + 3)*(2 - 4 + 3) as d*y + s and give d. 473 Express -2*u + 4 - 4*u + 3*u in the form j + l*u and give j. 4 Rearrange -5*y**2 + 7 + 7*y**2 - 6 to the form o*y + d*y**2 + i and give i. 1 Rearrange 31*p**2 + p - p to d*p**2 + m + i*p and give d. 31 Rearrange 4 - 11*r**3 + 12*r**3 - 5 - 2*r - r**2 + r**4 to the form p*r**3 + y*r**2 + j + x*r + h*r**4 and give y. -1 Rearrange g**4 - 75 + 2*g + g**2 + 72 + 0*g to q*g**4 + b*g + p*g**3 + t*g**2 + u and give t. 1 Rearrange 1931 - 41*b - 1931 to f + u*b and give f. 0 Express (-12 - 2 - 38 + (5 + 1 - 3)*(4 - 1 - 2))*(-m**3 + m**3 - m**3) in the form k + f*m + w*m**2 + a*m**3 and give k. 0 Rearrange -5*u - u**3 - 6*u**3 + 5*u**3 - 6*u to the form d*u + a*u**3 + z*u**2 + f and give d. -11 Express (0 + 0 - 8)*(-5*i + 2*i + i) as s*i + k and give s. 16 Express -13*a + 5 - 2 - 3 in the form b*a + s and give b. -13 Express -378 + 378 + 17*a**2 as t*a + z + k*a**2 and give k. 17 Express -1 + 2*k**2 - 17*k - 3*k**4 + 9*k + 0*k**4 + 9*k as y*k**3 + s*k + q + f*k**2 + p*k**4 and give y. 0 Rearrange -8*a**3 + a**3 - 7*a**4 + 6*a**4 - 3 + 2 to j*a**2 + s*a**3 + l*a**4 + r + o*a and give l. -1 Express 3*m**3 + 3*m**3 - 2*m**4 - 7*m - 7*m**3 + 6*m**4 + 1 in the form o*m**3 + b*m**2 + s*m + z*m**4 + x and give s. -7 Rearrange (272*p + 0 + 1 - 235*p)*(3 - 5 + 0) to the form b*p + k and give k. -2 Rearrange l**2 - 26*l**4 + l + 2*l + 2*l**3 + 18*l**4 - l + 2 to the form v + s*l**3 + h*l + b*l**2 + p*l**4 and give b. 1 Rearrange 8 + 2*v**2 - v**2 - 10 + 4*v**3 to the form w*v**2 + z*v + h*v**3 + a and give z. 0 Express -j**2 - 36*j**4 + 34*j**4 - j**3 + j - j**3 - 5*j as b*j**3 + w*j**2 + d*j + m*j**4 + u and give w. -1 Express (2 - 3 + 0)*(-s + 2*s - 3*s)*(3*s**2 + 6*s**2 - 2*s**2) in the form j*s + u*s**2 + p + h*s**3 and give h. 14 Express 0*o - 2*o + 0*o + (2 - 3 + 0)*(-o + 5*o - 2*o) - 2*o - 4 + 4 + (5 + 0 - 4)*(o - o + o) + 2*o - 6*o + o as s*o + v and give s. -8 Express 7*v**2 - 12*v**2 + 3*v**2 + v**3 - 6 + 2*v**3 in the form p*v**2 + c*v + h + q*v**3 and give h. -6 Express (0 - u + 0)*(0*u + 2*u - u) + u - u - 2*u**2 + (5*u - u - 3*u)*(4*u - 4*u - 16*u) as p*u + g + w*u**2 and give w. -19 Express 15*v**3 + 0*v**3 - 4*v**3 + (v**2 + 2*v**2 - 4*v**2)*(0*v - v - v) as z*v**2 + c*v + n + g*v**3 and give g. 13 Express 8*b - 2*b - 4*b as y + t*b and give t. 2 Rearrange -2*r**2 - 130*r**3 + 261*r**3 - 121*r**3 to the form x + k*r**3 + f*r**2 + s*r and give k. 10 Express 40*s + 18 - 59 - 39*s as h + u*s and give u. 1 Rearrange 0 - 1 + 15*l**2 - 1 to d + k*l**2 + y*l and give y. 0 Rearrange -i - 32*i**4 - 3*i**2 + 33*i**4 + 2*i**3 + i**2 to u*i**3 + v*i + s + y*i**4 + d*i**2 and give v. -1 Express -n - n + 4*n - 2*n + 4 - 4 + (-1 + 4 - 4)*(-n + 0*n + 0*n) + (2 - 8 + 2)*(6 - 2 - 2)*(-6*n + 2*n + 3*n) in the form h + t*n and give t. 9 Express (48*w - 18*w**2 - 48*w)*(-3*w + 6*w - 4*w)*(-2 - 1 + 4) as g*w**2 + t*w + p + v*w**3 and give v. 18 Rearrange 59*g + 520 - 520 + 56*g to the form h + s*g and give s. 115 Express 3*f - 3*f - f**2 - 372 + 2*f**3 + 375 as r*f + b*f**3 + g*f**2 + o and give r. 0 Express -14*o**2 - 8*o**2 + 4*o**2 - o**2 as y + c*o + x*o**2 and give y. 0 Express -46 + 46 - 11*f**2 in the form d + o*f + t*f**2 and give t. -11 Express -19 - 30*y**2 + 19 - 45*y**2 in the form m + q*y**2 + w*y and give q. -75 Rearrange 827*y - 827*y - 25*y**2 - 12*y**2 to o*y + g + u*y**2 and give u. -37 Express -5*x**2 + 20*x - 1 + 20*x - 39*x + 28*x**2 as z + v*x**2 + g*x and give z. -1 Express n**3 - 94*n + 90*n - n**2 + 3*n**2 as r*n**2 + x + z*n**3 + c*n and give r. 2 Rearrange (8*x + 17*x - 7*x)*(x**2 + 4 - 4) to the form g*x + p + o*x**3 + h*x**2 and give o. 18 Rearrange 16*c - 17*c + 33*c to the form w*c + y and give w. 32 Express 0*b - 4*b + 5*b - 2*b + 2*b + b - 4*b + 1 + b - 1 + (1 + 1 - 5)*(b - 3*b + 4*b) in the form l + k*b and give k. -7 Rearrange 2*k**2 + k - 2*k + 5*k - 4*k**2 to p*k + n*k**2 + u and give u. 0 Express (-2*a + 0 + 0)*(6*a + 1 - 1 + 2) as r + j*a + h*a**2 and give j. -4 Express -3*g**2 - 4*g**2 + 2*g - 2*g in the form d*g + c + y*g**2 and give y. -7 Express 2*r**2 + r**2 + 8*r**2 - 9*r**2 + 26 - 2*r in the form q*r + j*r**2 + n and give n. 26 Rearrange -2*d**3 + 2*d**3 - d**3 + (-d**3 - d**3 + 4*d**3)*(1 + 4 - 3) + 7*d**3 + 2*d**3 - 6*d**3 to x*d**3 + f*d + s*d**2 + l and give x. 6 Rearrange (t**2 - 2*t + 2*t)*(6 - 3 - 4) - 4*t + 4*t - 2*t**2 - 2*t**2 - 3*t + 3*t + t**2 - 3*t**2 + 0*t**2 to the form u + d*t + i*t**2 and give i. -7 Express -28*a**2 - 18*a**2 - 34*a**2 + 19*a**2 in the form n + i*a + h*a**2 and give h. -61 Express -2*i**3 + 3 - 14*i**2 + 5*i**2 + 6*i**2 in the form j*i**3 + w*i**2 + l*i + f and give f. 3 Rearrange (2*i + 3*i - 6*i)*(437*i - 5 + 2 - 442*i) to v*i + j*i**2 + o and give j. 5 Rearrange -2 + 56*j + 2 + 3*j to the form z*j + i and give z. 59 Express (3 - 4 + 11)*(7*j - 5*j + 5*j) as d*j + y and give y. 0 Rearrange -17*o**2 + 15*o**2 - 5*o + 0*o to d*o + k + j*o**2 and give d. -5 Express -5*y + 4*y + 2*y + 40 as l + o*y and give l. 40 Express (-3*z**2 - z**2 + 6*z**2)*(-1 + 5 - 1) - z**2 + z**2 - 4*z**2 in the form g*z**2 + l*z + w and give g. 2 Rearrange 3*s + 10*s + 3*s + s - s - s + (s + 0*s - 2*s)*(-1 + 0 + 2) to the form o*s + h and give o. 14 Express 5 - 2*m + 11*m + m - 8*m as g + s*m and give g. 5 Express (3 - 3 + 2)*(5*r - 4*r - 2*r) + 0*r - 2*r + 3*r + 8*r + 2*r + 2*r in the form n + m*r and give m. 11 Rearrange (-2 + 2 - 25*a)*(2*a + 1 - 1) - a**2 + a**2 - 2*a**2 + (4*a - 4*a + a)*(4 - 4 - 2*a) to x*a**2 + u*a + z and give x. -54 Rearrange 2*l**2 - 1 + l**2 - 1 + 0*l**2 to the form m*l**2 + j*l + k and give m. 3 Rearrange 2*p + 0*p**2 - p**2 - 2*p**2 + 2*p**2 - p**2 + p**2 + (-p + 2*p + p)*(-2*p - p + 4*p) to the form b*p**2 + x + i*p and give i. 2 Rearrange (0 + 0 + 1)*(5 - 3 - 5)*(-4 + 1 - g + 4) to q*g + u and give q. 3 Express 0*z**2 - 3*z**3 + z**3 - 2*z**2 + 2*z + 7*z in the form k*z**3 + n + m*z + h*z**2 and give m. 9 Rearrange w**3 - 27*w**2 + 27*w**2 + 5 - 4*w to the form u + x*w + y*w**3 + h*w**2 and give x. -4 Rearrange (5*a**2 + 0*a**2 - 6*a**2)*(-21 + 21 + 8*a**2) to p*a**3 + t*a**2 + w*a + n*a**4 + u and give n. -8 Express 0*o**2 + 0*o**2 + 4*o**2 + 5*o**2 as g*o + l + z*o**2 and give z. 9 Express 33*n**3 - 1 - n**2 - n**4 - 33*n**3 + 3*n in the form v*n**2 + f*n**4 + p*n + a*n**3 + y and give p. 3 Express (-2 + s**2 + 234*s - 234*s)*(0*s**2 - s**2 + 0*s**2) in the form o + r*s**3 + c*s**2 + b*s + x*s**4 and give r. 0 Rearrange -d**2 - 13*d**2 + 3*d**2 - d - 11*d**2 to j*d**2 + q*d + a and give j. -22 Express 5*w**4 + 2*w + 5*w**4 - w + 0 + w**2 - 2 as f*w + a*w**2 + g*w**4 + k*w**3 + n and give n. -2 Express 8*x**3 - 56*x - 2*x**2 + 30*x + 27*x in the form m*x + b*x**3 + d*x**2 + a and give b. 8 Rearrange 3*y**2 + 17*y**2 - 3*y**2 - 7*y**2 to the form s*y + x*y**2 + m and give x. 10 Rearrange -7*t - 2 + 7*t - 2*t to n*t + s and give s. -2 Rearrange -79*k**2 - 108*k**2 + 69*k**2 to the form l*k**2 + n*k + p and give l. -118 Rearrange (-2 + 1 - 1)*(-4 - 15 + 4)*(2 + a - 2) to u*a + q and give u. 30 Rearrange (-14 + 9 - 9)*(2*a - 4 - 1 + 4) to the form d*a + l and give d. -28 Express (-2*h**2 + h**2 + 4*h**2 + h)*(-10*h - 134*h - 54*h) in the form a + s*h + o*h**3 + v*h**2 and give o. -594 Rearrange 2*q - 6*q**4 - q**2 - 7*q**4 - 2*q**3 + 25*q**4 - 10*q**4 to z + k*q**2 + o*q + f*q**3 + s*q**4 and give f. -2 Express 2*p**2 + 2*p**3 + 0 - p**3 - 3*p**2 - 1 in the form q*p + a + w*p**2 + s*p**3 and give w. -1 Express (d**2 - 2*d**2 + 0*d**2)*(-5 + 5 - 6*d) + 2*d - 2*d + d**3 + (4*d**2 - d**2 - 4*d**2)*(-d - 3 + 3) as g + s*d**2 + b*d + q*d**3 and give q. 8 Express 8 - 27 + 17*g + 12 + 6 in the form s*g + d and give d. -1 Rearrange -13*q - 3*q**2 + 0*q**2 + 12*q to the form t*q + x*q**2 + i and give i. 0 Rearrange ((2*h**2 - 3*h**2 - h**2)*(2*h + 0*h + h) +
{ "pile_set_name": "DM Mathematics" }
xt in 16, 27, 36, 43, 48, 51? 52 What is the next term in -22, -43, -78, -133, -214, -327, -478, -673? -918 What comes next: 19, 18, 17, 16? 15 What is the next term in -154, -164, -172, -178, -182, -184? -184 What is the next term in -14, -31, -48, -65? -82 What comes next: -2, -12, -24, -38, -54? -72 What is next in 7, 14, 15, 10, -1, -18, -41? -70 What comes next: 35, 38, 41, 44, 47, 50? 53 What comes next: -6241, -6239, -6237? -6235 What is next in 1390, 2772, 4140, 5488, 6810? 8100 What is the next term in 0, 7, 16, 27? 40 What comes next: -5, -29, -67, -113, -161, -205, -239? -257 What is the next term in 20, 28, 36, 44, 52? 60 What comes next: 41, 39, 37, 35, 33? 31 What comes next: -1170, -2342, -3514, -4686, -5858? -7030 What is the next term in 11, 53, 189, 467, 935, 1641, 2633? 3959 What comes next: -300, -690, -1348, -2280, -3492, -4990, -6780, -8868? -11260 What is the next term in -2126, -4240, -6352, -8462, -10570, -12676, -14780? -16882 What is next in -287, -279, -259, -221, -159, -67? 61 What is the next term in 60, 14, -32, -78, -124? -170 What is the next term in -35, -40, -45? -50 What comes next: 45, 32, 19, 6? -7 What is the next term in -1165, -1166, -1177, -1204, -1253, -1330, -1441? -1592 What is the next term in -4, 1, 10, 23? 40 What is the next term in 19, 90, 217, 406, 663, 994, 1405? 1902 What is the next term in 52, 124, 222, 358, 544? 792 What comes next: -2299, -2298, -2297, -2296, -2295, -2294? -2293 What is the next term in 175, 357, 537, 715, 891? 1065 What is the next term in 2310, 4629, 6948, 9267, 11586? 13905 What is next in 2, 125, 482, 1199, 2402, 4217? 6770 What is next in -290, -574, -860, -1148, -1438, -1730, -2024? -2320 What is next in -94, -389, -880, -1567? -2450 What comes next: 80, 75, 58, 23, -36? -125 What comes next: 5, 15, 25, 35, 45? 55 What is the next term in 217, 243, 269, 295, 321? 347 What is next in 102, 99, 86, 57, 6, -73, -186, -339? -538 What is the next term in -602, -602, -604, -608, -614? -622 What is the next term in 3094, 3100, 3096, 3076, 3034, 2964? 2860 What is next in -1788, -3577, -5366? -7155 What comes next: 10, 24, 50, 94, 162, 260, 394, 570? 794 What comes next: -55, -119, -183, -247, -311, -375? -439 What comes next: -1839, -1836, -1831, -1824, -1815? -1804 What is the next term in 38, 54, 70? 86 What is the next term in 197, 190, 179, 164, 145, 122? 95 What is the next term in -10, -27, -44, -61, -78? -95 What comes next: -3293, -3294, -3295, -3296, -3297, -3298? -3299 What is next in 41, 362, 1227, 2906, 5669, 9786? 15527 What is next in -24, -48, -72? -96 What is next in 84, 78, 62, 30, -24, -106, -222? -378 What is next in 14, 35, 56, 77? 98 What is next in -1000, -2013, -3026, -4039? -5052 What is next in 12, 187, 670, 1617, 3184, 5527, 8802? 13165 What comes next: 141, 138, 133, 126? 117 What is the next term in -46, -47, -48, -49, -50? -51 What is the next term in 303, 607, 911, 1215? 1519 What is the next term in 32, 38, 44? 50 What is next in 164, 407, 650? 893 What is the next term in -359, -357, -355, -353, -351? -349 What is next in -984, -976, -958, -924, -868, -784, -666, -508? -304 What comes next: -53, -49, -41, -29, -13? 7 What comes next: -61, -233, -521, -925, -1445, -2081? -2833 What is next in 99, 756, 2543, 6024, 11763, 20324, 32271? 48168 What is the next term in -33, -184, -445, -822, -1321, -1948? -2709 What is next in -184, -680, -1502, -2656, -4148, -5984, -8170, -10712? -13616 What is next in 30, 28, 26, 24, 22, 20? 18 What is the next term in -77, -76, -39, 52, 215, 468, 829? 1316 What is the next term in 140, 491, 1076, 1895, 2948? 4235 What is the next term in 292, 282, 270, 262, 264? 282 What is next in 122, 294, 514, 782? 1098 What comes next: -110, -117, -124? -131 What comes next: 68, 249, 550, 971? 1512 What is next in -52, -64, -72, -76? -76 What is next in -15, -26, -33, -36, -35, -30, -21? -8 What is the next term in 578, 576, 574? 572 What is next in 18, 46, 88, 144? 214 What comes next: 5795, 5794, 5793, 5792, 5791, 5790? 5789 What comes next: 41, 68, 119, 200, 317, 476, 683? 944 What comes next: -29, -14, 1? 16 What is next in -16, -23, -40, -73, -128? -211 What comes next: 196, 197, 210, 241, 296? 381 What is the next term in 6, 43, 140, 327, 634, 1091? 1728 What is the next term in 2246, 2249, 2254, 2261, 2270? 2281 What is the next term in -1691, -3385, -5079, -6773, -8467, -10161? -11855 What is the next term in -219, -438, -657? -876 What comes next: -602, -600, -598, -596? -594 What is next in -392, -789, -1186, -1583, -1980, -2377? -2774 What comes next: 2371, 4753, 7145, 9553, 11983, 14441? 16933 What is next in -1911, -1918, -1935, -1968, -2023? -2106 What comes next: 40, 79, 138, 229, 364, 555, 814? 1153 What is next in -648, -646, -644, -642? -640 What comes next: -577, -576, -575, -574? -573 What comes next: 158, 155, 152, 149? 146 What comes next: 23, 43, 63, 83? 103 What is the next term in -40, -32, -36, -58, -104, -180, -292? -446 What is next in -8, -14, -20? -26 What is next in -22, -73, -164, -301, -490, -737, -1048, -1429? -1886 What comes next: 65, 162, 427, 944, 1797, 3070, 4847, 7212? 10249 What comes next: -1221, -1224, -1227, -1230, -1233, -1236? -1239 What is the next term in 802, 1603, 2404, 3205, 4006? 4807 What is the next term in -39, -83, -131, -183? -239 What is the next term in -3, -3, 7, 33, 81, 157, 267, 417? 613 What is next in 3254, 3242, 3206, 3134, 3014, 2834, 2582, 2246? 1814 What is the next term in 127, 627, 1461, 2629, 4131? 5967 What is the next term in 11, 12, 11, 8? 3 What comes next: -7, 13, 35, 59, 85, 113, 143? 175 What is next in 27, 24, 21? 18 What is the next term in 3412, 6814, 10216, 13618? 17020 What is next in -12, -30, -80, -180, -348, -602, -960? -1440 What is the next term in -35, -92, -187, -320, -491, -700, -947? -1232 What is next in 91, 212, 363, 544, 755, 996? 1267 What is next in 51, 58, 67, 78? 91 What is the next term in 900, 898, 886, 858, 808, 730, 618, 466? 268 What is the next term in 160, 129, 98, 67? 36 What comes next: -79, -321, -725, -1291, -2019, -2909, -3961? -5175 What is the next term in 771, 744, 699, 636? 555 What is the next term in 15, 22, 29, 36, 43, 50? 57 What comes next: 37, 61, 81, 97? 109 What is next in 210, 197, 162, 93, -22, -195, -438? -763 What is the next term in 38, 91, 144, 197, 250, 303? 356 What is the next term in -209, -232, -253, -272? -289 What is the next term in -43, -193, -443, -793, -1243, -1793, -2443? -3193 What is next in -182, -190, -204, -224? -250 What comes next: -2734, -2733, -2732, -2731, -2730? -2729 What is next in -101, -99, -97, -95? -93 What comes next: -1658, -1640, -1596, -1514, -1382, -1188, -920? -566 What is the next term in -34, -59, -124, -247, -446, -739? -1144 What is next in 51, 98, 145, 192, 239? 286 What is the next term in 46, 90, 134, 178? 222 What comes next: 872, 871, 870? 869 What is the next term in -12, -33, -76, -147, -252, -397, -588, -831? -1132 What is the next term in 649, 653, 657, 661, 665, 669? 673 What is the next term in 823, 1633, 2437, 3235? 4027 What comes next: 19, 36, 51, 64? 75 What is next in -11, -2, 25, 76, 157, 274? 433 What is next in 641, 1281, 1921, 2561, 3201? 3841 What is next in 1451, 1449, 1445, 1439, 1431? 1421 What comes next: -294, -583, -884, -1203, -1546, -1919? -2328 What is next in 61, 122, 183? 244 What comes next: 157, 311, 465, 619? 773 What is the next term in 196, 208, 234, 280, 352, 456, 598? 784 What is next in 31, 70, 109? 148 What is the next term in -8, -6, 4, 22, 48, 82? 124 What is the next term in 47, 56, 77, 116, 179, 272, 401? 572 What is next in -5, -31, -77, -143, -229, -335? -461 What is next in -37, -57, -53, -13, 75? 223 What is next in 316, 441, 578, 733, 912? 1121 What comes next: 57, 43, 21, -9? -47 What comes next: -6, -3, 8, 27, 54, 89, 132? 183 What is next in 2242, 2241, 2240, 2239? 2238 What is next in 92, 177, 262? 347 What is the next term in 76, 70, 50, 10, -56? -154 What is the next term in 32, 25, 8, -25, -80, -163, -280, -437? -640 What is the next term in -84, -167, -250, -333? -416 What comes next: 11745, 11744, 11743? 11742 What is the next term in 4682, 4678, 4678, 4688, 4714, 4762, 4838, 4948? 5098 What is n
{ "pile_set_name": "DM Mathematics" }
(b) -0.3 (c) 0.3 (d) 1/4 d Let l = -1/30 + 23/90. Let m be 0 - (13/(-741))/((-1)/(-6)). What is the nearest to -0.1 in l, m, 1? m Let m = -13.1 + 13.01. What is the closest to m in 4, 0.1, -4? 0.1 Let h be ((-20)/35)/((-60)/66). Let i = 10/7 - h. What is the nearest to 1/4 in 1/4, -5, i? 1/4 Let w be (-5)/(-10) - 2/20. Let c = 0.441 - -0.059. What is the closest to -2/5 in 2/7, c, w? 2/7 Let g = 19 + -31. Let a = 37/3 + g. Let r = -1608 - -1606. What is the nearest to r in 3, -0.1, a? -0.1 Let h be (-1 + 3)/((-6 - -2) + 3). What is the nearest to 1/2 in h, -0.2, 0.2? 0.2 Let i be ((-6)/(-7))/((-12)/(-504)). Let q be ((-1)/(-6))/(-4*3/i). What is the nearest to q in -0.3, 1, -9? -0.3 Let v = -376 + 218. Let q = -157.9 - v. Let u = -7 - -11. Which is the nearest to -1? (a) 1/4 (b) q (c) u b Let t = 12 - 8.5. Let n = 15.5 + t. Let y = 23 - n. What is the nearest to -0.2 in -2, 0, y? 0 Let u = -0.022 + -18.978. Let w = u + 20. Let t be ((-2)/10)/(4/10). Which is the nearest to 1/3? (a) w (b) t (c) 0 c Let t be (28/40 - 1)/(9/3). What is the closest to 0.3 in 1/5, t, 3/2? 1/5 Let u = -3.91 - 0.09. Let c = 16615 - 16610. What is the nearest to 0.1 in c, u, -3? -3 Suppose -g - w + 5 + 0 = 0, 11 = g + 3*w. Which is the nearest to 1/4? (a) 3 (b) g (c) -4 b Let k = -406 - -405. Let q = -19 - -12. Let x = q - -5.6. Which is the closest to 0.1? (a) 3 (b) k (c) x b Let i = -69 - -209/3. Suppose 0*l + l + 3*j = -16, 17 = -2*l - 3*j. Which is the nearest to 0? (a) 2/7 (b) i (c) l a Let x = -0.185 - -0.385. Which is the nearest to 2/7? (a) 5 (b) 4 (c) -2 (d) x d Let z = -0.048 + -0.052. Let m = 0.2 - z. Which is the nearest to -1? (a) m (b) -0.3 (c) 3 b Let c = 34 - 20. Suppose 0 = -3*v + 4*g - 22, -2*v + 2*g - c = -0*v. What is the closest to v in 0.3, 0.1, -3? -3 Let x = 375 - 374.9. Which is the closest to 2/7? (a) -0.02 (b) -4 (c) x c Let x be ((-2)/18)/(9/(-81)). Which is the closest to x? (a) 1 (b) -10 (c) 3/8 a Suppose 0 = 3*n + 2*p + 2, -5*n + p - 10 = -n. Let y(s) = 2*s**3 - 83*s**2 + 119*s + 37. Let u be y(40). Which is the closest to n? (a) 4/5 (b) u (c) -4 b Let i be (4/6)/((-12)/42) - -2. Let q = -4.29 + -0.71. What is the closest to 1 in q, i, 0.3? 0.3 Let n = -2.4 + 0. Let r = -2.7 - n. Which is the nearest to 0.3? (a) r (b) -0.4 (c) -3 a Let d = 11 + 8. Let v = 325 + -343.6. Let a = d + v. What is the nearest to 0 in 0, a, 5? 0 Let i = -3 - -3. Suppose 0 = -4*s - 3*k + 10, -k - 2 = 2*s - 8. What is the closest to i in 0.1, s, 0? 0 Let m be (-50)/4*924/110. Let c = m - -527/5. What is the nearest to 0.1 in 0, 1, c? 0 Let x = -48 - -47.81. Let p = x + 1.19. Let i be (3/(-2))/((-14)/(-4)). Which is the closest to 0.1? (a) 2/7 (b) p (c) i a Let p be 3/(-2) + 84/64. Let o = 1/80 - p. What is the nearest to 1 in -3/7, -1/8, o? o Suppose 0 = 1857*h - 1872*h + 255. Which is the closest to -2? (a) 3 (b) 0.7 (c) h b Let r = -254 - -257. Which is the nearest to 2? (a) 2/3 (b) 2/11 (c) r c Let w = -0.304 - 0.696. Which is the nearest to w? (a) -0.2 (b) -5 (c) -0.08 (d) 0.2 a Let f = 2 + -2. Let h be (1/4)/(3/(-9)). Let o = 18 + -18.4. Which is the closest to f? (a) h (b) o (c) -3 b Let b = -0.1 + 80.1. Let l = 80.3 - b. What is the nearest to -0.2 in l, 3, 9? l Let r(d) = -5 + 7 - 17 - 9*d - 38. Let g be r(-6). Which is the closest to -1? (a) g (b) 2/3 (c) 2/7 c Let c = -1.6 + 1.5. Let i = 4.1 + c. What is the closest to 1/3 in i, -1/9, 1/3? 1/3 Let m be (1 - (-74)/(-50))/((-6399)/2370). Which is the closest to 1/4? (a) 0.4 (b) m (c) -0.3 b Suppose g + 3*g = -84. Let n be (2/(-3))/((-28)/g). What is the nearest to n in 1/5, -2/17, 4? -2/17 Let n be (-2)/15*(-69)/15. Let g = -1/75 + n. Let w = 2.89 + 0.11. Which is the closest to 1? (a) w (b) g (c) -3 b Let p = 477 + -476. Which is the nearest to -1/3? (a) 0.14 (b) -0.3 (c) p b Let x = 235.8 + -237. What is the nearest to x in -1/6, 2, -0.5? -0.5 Let h = 0.34 - -0.06. Let b = 229 + -1146/5. What is the nearest to 0.2 in b, h, 3? h Let i = 3 - 7. Let y = -130/133 + 24/19. Let r = -25 + 227/9. Which is the closest to -1? (a) i (b) y (c) r c Let o = 5.6 + -10.6. Which is the nearest to 0.6? (a) -0.3 (b) -0.4 (c) o a Let y = 1 + 2. Let o = 5 - 3. Let c be (69/(-24) - -3)*(-8 - -6). What is the closest to c in o, 4, y? o Suppose 0 = 4*t - 4, -5*n + 5*t + 55 = -0*n. Suppose -2*p = p - 15. Suppose -3*w - 2 = -2*q, 0 = -p*w + 6*q - 5*q - 15. What is the closest to -0.1 in -5, n, w? w Let z be (-160)/(-396) + (-2)/11. Let f = 11 + -10.9. Let x be 34/52 + 3/(-6). Which is the closest to f? (a) 5 (b) z (c) x c Let n be (-10)/(-30)*6/(-8). What is the closest to -0.03 in 4, n, -0.1? -0.1 Let u = -28 + -9. Let t = u - -36.7. Which is the nearest to -0.1? (a) 5 (b) t (c) -7/3 b Let c = 0 + 0.2. Let f = 0 - c. Let p = -0.0672 - -0.0672. What is the nearest to 1 in f, -1, p? p Let r = 0.09 - 2.09. Let s = 15.82 + -16. Let i = s - 0.02. Which is the nearest to -2/3? (a) 0.5 (b) r (c) i c Let j = -5.09 + 0.09. Let s = -6.31 - 1.69. Let i = s - j. What is the nearest to 1 in 4/7, i, 4? 4/7 Suppose 0 = -3*m - 0*m + 912. Let l = m + -1203/4. Let z = l - 3. What is the closest to -2/7 in 0.4, z, -2? z Let z = 2 - 2.2. Let i be (115/(-45))/(1/(-15)). Let p = i + -38. Which is the nearest to z? (a) 2 (b) -1/4 (c) p b Let o = 2.923 + 2.077. Let w = 51/3526 + -5/82. Which is the closest to 0? (a) o (b) -2/3 (c) w c Let p = 28.932 + -29. Let t = p - -0.168. Let v(r) = r - 1. Let n be v(6). What is the closest to 0.1 in t, 4, n? t Let j = 20 + -20. Suppose f + 3 = 0, 0 = -j*q + 2*q - 5*f + 15. Let t be 42/(-35)*q/(-6). Which is the nearest to 1/4? (a) t (b) -5 (c) 7 a Let p(g) = g**3 + 10*g**2 + 15*g - 7. Let m be p(-8). Suppose o = 7 - m. Which is the closest to o? (a) 0.1 (b) 0.2 (c) 4 c Let i = -5/48 + 131/336. What is the nearest to i in 0.6, 0.4, -0.4? 0.4 Let h = 1613 + -1615. What is the nearest to h in 6.9, 0, -1/4? -1/4 Let z be (22 - 19)*(-10)/18. What is the closest to 2 in -0.3, z, 0.07, 3? 3 Let h = -134 + 123.4. Let r = -11.6 - h. Which is the closest to r? (a) -4 (b) -1/4 (c) 0.3 b Suppose -9 = 3*g - 3*x, g + 3*x - 2 = -1. Which is the nearest to 0.2? (a) -5 (b) g (c) 0.1 c Let u(z) = -z - 2. Let v(w) = w + 3. Let i(h) = -5*u(h) - 3*v(h). Let o be i(2). Which is the closest to -1? (a) 0.5 (b) o (c) 0.3 c Let l be (5/15*2)/(4/30). Which is the closest to -1? (a) l (b) 3 (c) -1/89 c Suppose 0 = 2*h + 2*t - 14, t = 2*h + 5*t - 18. Let z be ((-7217)/(-4124))/(21/2). What is the nearest to -1 in h, z, -0.23? -0.23 Let i = 6.4 + -6.6. What is the closest to -1/2 in 0.3, i, -2? i Let b = -61 + 307/5. Let f be 2 + (66/14 - 7). What is the closest to f in -0.5, b, 3/7? -0.5 Let j be ((21/(-6) - 2) + 4)*2. Which is the nearest to 0? (a) j (b) 1 (c) 0.4 c Let g = 64.933 - -0.067. Let c = 64 - g. Let p(z) = -z - 1. Let w be p(-3). What is the closest to c in -5, w, 1? 1 Let l = 4.9 + -5. Suppose 5*o - 2*z - 7 = 0, -31 = -5*o - 3*z - z. Let t = -7 + 7.3. Which is the nearest to l? (a) 0 (b) t (c) o a Let m(t) = -t**3 - 6*t**2 - 5*t - 1. Let u be m(-5). Let x = -66/7 + 271/28. What is the closest to u in -2/19, x, -1/3? -1/3 Let x = -191 - -131. Let o = 57 + x. Which is the nearest to -0.1? (a) -0.3 (b) o (c) 5/4 a Suppose 5*f - 6 - 19 = 0. Suppose -4*t - 17 = -f. Which is the closest to -2/17? (a) 4 (b) t (c) -2/13 c Let j = -76 + 76.102. Let d = -0.402 + j. What is the closest to 1/4 in -0.4, d, 0.4? 0.4 Suppose -24*i = 2 + 118. What is the closest to -6 in i, 1/4, 3/2, -0.3? i Let u(b) = 2*b**3 + b - 1. Let t be u(1). Let a be ((-6)/72)/(((-341)/44)/(-31)). What is the nearest to 1 in 0.5, t, a? 0.5 Let p(l) = l**2 + 4*l - 8. Let k be p(-6). Let h be (-7)/k - (-55)/22. Let y = 1114/9 + -124. Which is the closest to 0.3? (a) 1 (b) y (c) h c Let u = -5 - -9. Suppose 250 = -10*t - 90. Let x be t/(-10) + (-14 - -10). What is the closest to -2/3 in 0.5, u, x? x Let o = -1168 - -1167.7. What is the closest to o in -3, -0.5, 2/9, -2/9? -2/9 Suppose 12*c + 126 + 426 = 0. What is the closest to c in 2/7, -1, -4? -4 Let j = -2/245 - -249/490. Which is the nearest to j? (a) 1/3 (b) -2 (c) -2/7 (d) -1/4 a Let y = -0
{ "pile_set_name": "DM Mathematics" }
(-3 + (sqrt(11) + 0 + sqrt(11) + 0)*1)**2. -12*sqrt(11) + 55 Simplify 6*(sqrt(1620) - (5 + 3*sqrt(1620)) - sqrt(1620))**2. 3240*sqrt(5) + 87630 Simplify (5 + -3 + (0 + sqrt(128) - sqrt(128)) + -3 + 4*-1*sqrt(128))**2*-5. -10245 - 320*sqrt(2) Simplify 1*(0 + (5 + 3 + sqrt(117) - sqrt(117))**2*-2*-2). 256 Simplify 1*(sqrt(833) - (sqrt(833) + 2*sqrt(833) + 2)) + -2. -14*sqrt(17) - 4 Simplify -2 + -1*sqrt(2736) - (-4*(sqrt(171) + -5))**2. -3138 + 468*sqrt(19) Simplify ((sqrt(8) - sqrt(384)/sqrt(3)) + 0 + sqrt(200))**2. 32 Simplify (-1 + -2*(sqrt(13) + sqrt(1300)) - (0 + ((sqrt(65) - (sqrt(65) + sqrt(65) + 2*sqrt(65)))*-6)/sqrt(5)))**2. 80*sqrt(13) + 20801 Simplify (-3*(-4 + sqrt(405)*-1 + -5 + 0))**2. 1458*sqrt(5) + 4374 Simplify 3*(3 + sqrt(208)/sqrt(4)) + (-5*(sqrt(52) + 1*sqrt(52)*-4))**2 + -1. 6*sqrt(13) + 11708 Simplify (-1*sqrt(720))**2*-4 - (sqrt(45) + -3 - sqrt(5) - ((sqrt(5) - (sqrt(5) + sqrt(5)*1 + sqrt(5))) + -2)). -2879 - 4*sqrt(5) Simplify (sqrt(52) - 2*(sqrt(1300) + sqrt(52)) - sqrt(52)*1*-6)/(sqrt(44)/(-3*sqrt(22)/sqrt(2))). 15*sqrt(13) Simplify ((-6*(-2*sqrt(180) - sqrt(180)))/(-1*(sqrt(9) + sqrt(36))))**2. 720 Simplify (4*sqrt(7)*-5 + (sqrt(448) + 1 - sqrt(7)))*-4. -4 + 52*sqrt(7) Simplify -3 + 5*((sqrt(21)/(sqrt(35)/sqrt(5)) - sqrt(3)) + sqrt(432)*2)**2. 8637 Simplify 4 + ((-2 + sqrt(1300))*-6 - (5 + sqrt(1300) + 0))**2 + 5. -980*sqrt(13) + 63758 Simplify -4 + (sqrt(396) + sqrt(396)*2)**2 - ((3*sqrt(275))**2*-5 - sqrt(275)). 5*sqrt(11) + 15935 Simplify -4*(((sqrt(1573) - -2*sqrt(1573)) + 4)**2 + -3 + 5*sqrt(39)/sqrt(3)). -56680 - 1076*sqrt(13) Simplify (sqrt(171)/(-4*sqrt(3)))/(sqrt(21)/(-5*sqrt(7))). 5*sqrt(19)/4 Simplify ((sqrt(60)/sqrt(6)*-1)/(4*sqrt(320)) + -2)**2. sqrt(2)/8 + 2049/512 Simplify (4 + -2*(1 + sqrt(612))*6)**2. 1152*sqrt(17) + 88192 Simplify (sqrt(76) + -2 + (sqrt(76) - (sqrt(76) + sqrt(76)*1))/sqrt(4) + sqrt(19) + -5 + 5)**2. -8*sqrt(19) + 80 Simplify 2*(sqrt(1377) + -1 + -1) + 3 + (sqrt(187)/(sqrt(11) + sqrt(132)/(sqrt(12) - 2*sqrt(12)) + sqrt(11)))**2. 16 + 18*sqrt(17) Simplify (1 + sqrt(425))*-4 - (sqrt(425) + -2 + -2). -25*sqrt(17) Simplify (6*(sqrt(143)*-4 - sqrt(143)) - sqrt(143))/(sqrt(539) + (sqrt(539) - (sqrt(539) + sqrt(539)*3))). 31*sqrt(13)/14 Simplify ((-3*(sqrt(684) + 1 + sqrt(684)) + sqrt(684))**2 + (sqrt(684) - (1*sqrt(684) + 3)**2))*-1 + 5. -16411 - 150*sqrt(19) Simplify ((-6*sqrt(1368))/(6*sqrt(32)))**2. 171/4 Simplify (-2*-3*sqrt(2736))**2 - (sqrt(475) - -1*sqrt(475)*1). -10*sqrt(19) + 98496 Simplify (-5*(sqrt(15)/(sqrt(3)*-1))**2 - (5 + sqrt(180))) + -5 + 2. -33 - 6*sqrt(5) Simplify (6*sqrt(20)*-3*6 + 3)**2 + -3. -1296*sqrt(5) + 233286 Simplify (-5 + (-3*(3 + sqrt(272)) + sqrt(272) - sqrt(272) - (3*sqrt(272) + -3))**2)*-2. -19646 - 576*sqrt(17) Simplify (sqrt(19) + sqrt(152)/(sqrt(16)/sqrt(2)) - sqrt(209)/(2*sqrt(11) + sqrt(11))) + (3*sqrt(95))/sqrt(5)*-5 + -4. -40*sqrt(19)/3 - 4 Simplify 0 + (sqrt(209)/sqrt(44) - sqrt(19) - (0 + sqrt(475)) - ((sqrt(19) - (3*sqrt(114) + sqrt(114) - sqrt(114))/sqrt(6)) + 1)). -7*sqrt(19)/2 - 1 Simplify -4*(-6*(-3 + (sqrt(605) + 0 - sqrt(605)) + sqrt(605)*-1*-4))**2. -1395216 + 38016*sqrt(5) Simplify (3 + ((-2*sqrt(66) + sqrt(66))/sqrt(6) - (sqrt(1100) - sqrt(1100)*3)) + -4)*2. -2 + 38*sqrt(11) Simplify (5 + 0 + (sqrt(1280)*2)/(sqrt(30)/sqrt(3)*6))**2. 80*sqrt(2)/3 + 353/9 Simplify (-2*((sqrt(84) - (sqrt(84) + sqrt(84)*1)) + sqrt(84) + sqrt(84)))/((sqrt(300) + sqrt(12))*5). -sqrt(7)/15 Simplify 5*-1*((sqrt(245)/sqrt(5))/sqrt(7)*-1)**2. -35 Simplify -3*((sqrt(99) + -3)*6 + 5) + -3. -54*sqrt(11) + 36 Simplify (2*((6*(sqrt(68) - (sqrt(68) + (0 + sqrt(68) - sqrt(68)) + sqrt(68))))**2 + 1*(1 + sqrt(68))) + 4)*3. 12*sqrt(17) + 14706 Simplify 3*((-4 + (sqrt(891) + sqrt(891)*-1 + 0 - (1 + sqrt(891) + 2)))*-5)**2. 9450*sqrt(11) + 70500 Simplify -6*(0 + (-3*sqrt(9)/sqrt(3)*-6 - (sqrt(3) - (sqrt(192) + sqrt(192)*1) - sqrt(30)/(sqrt(10)*1))))**2. -20808 Simplify (3*sqrt(22))/sqrt(11)*-1 - (sqrt(98) + sqrt(98)*-3*-1)**2. -1568 - 3*sqrt(2) Simplify (4 + (sqrt(80) + -1 + 4 - (-5 + 2*sqrt(80))))**2*4*5. -1920*sqrt(5) + 4480 Simplify ((3*(sqrt(1331) + 3*(sqrt(1331) + 0)) + -1*sqrt(1331)*-5 + -2)*5)**2. -18700*sqrt(11) + 9616575 Simplify -1 + ((-2 + sqrt(304) + -2)**2 - (-5 + (2*sqrt(304))**2))*6. -5347 - 192*sqrt(19) Simplify -3*sqrt(13)*2 + -1*sqrt(1872) + sqrt(1872) + (-5*sqrt(130)*1)/sqrt(10). -11*sqrt(13) Simplify (sqrt(165)/(sqrt(15)/sqrt(3)))/(sqrt(12)/sqrt(4)*-2) - (sqrt(77) + -4*(sqrt(77) + 2*sqrt(77)))/(3*sqrt(14)/sqrt(2)). 19*sqrt(11)/6 Simplify (-2 + -3*(-2 + 1 + sqrt(396) + sqrt(11)))**2. -42*sqrt(11) + 4852 Simplify (sqrt(1008) + sqrt(1008)*2)**2 + 3 + (sqrt(7) + -1 + -5 + 0 + sqrt(448))**2. -108*sqrt(7) + 9678 Simplify (sqrt(1600) + -2*sqrt(1600)*-2)/(sqrt(96)/sqrt(3)*-5 + sqrt(32)). -25*sqrt(2)/4 Simplify (sqrt(84) + -2*-3*sqrt(84))/(sqrt(588)*-3 - sqrt(588)). -sqrt(7)/4 Simplify (5 + sqrt(19)*-2 - (0 + (sqrt(19) - (0 + sqrt(19))) - sqrt(19))) + -1*sqrt(171) + 4. -4*sqrt(19) + 9 Simplify (sqrt(77) + -6*-2*sqrt(77) - 4*(sqrt(77) + sqrt(77) + -2*sqrt(77) + sqrt(77) - sqrt(77)))/((sqrt(168)/sqrt(4))/sqrt(6) - (1*sqrt(175) + sqrt(175))). -13*sqrt(11)/9 Simplify ((sqrt(3072) + sqrt(3072)*1)/sqrt(3))/(-6*sqrt(4)/sqrt(2) - (sqrt(2) + sqrt(288)*-2)). 32*sqrt(2)/17 Simplify sqrt(88)/(-4*(sqrt(8) + sqrt(32)/sqrt(4))) - ((sqrt(110) + sqrt(110)*-1)*-6)/sqrt(10). -sqrt(11)/8 Simplify -3*(1*((sqrt(108) - ((sqrt(108) - sqrt(108)*2) + 0)) + 1))**2. -1299 - 72*sqrt(3) Simplify ((sqrt(28) + sqrt(252) + sqrt(28))*4)/(sqrt(4) - -2*(sqrt(4) - sqrt(64))) - ((sqrt(2016)/sqrt(8))**2 + -3 + sqrt(343)). -249 - 11*sqrt(7) Simplify sqrt(78)/sqrt(54) + -3 + -2 - (-2*(sqrt(13) + 1) + -4 + 5)**2. -58 - 11*sqrt(13)/3 Simplify (-4*(-2 + -5 + -3*(sqrt(832)*3 + sqrt(832))))**2. 21504*sqrt(13) + 1917712 Simplify ((sqrt(117)*-4 - (sqrt(130) + (sqrt(130) - (sqrt(130) - ((sqrt(130) - (sqrt(130) + 3*sqrt(130))) + sqrt(130)))))/sqrt(10))*-5 + -1)*1. -1 + 55*sqrt(13) Simplify ((sqrt(160) + (sqrt(160) - sqrt(160)*1*-6))/sqrt(8))/(sqrt(50)/sqrt(5)*6 + 2*sqrt(10)*2). 4*sqrt(2)/5 Simplify 5*(sqrt(120)/(sqrt(64) - sqrt(4)))/(2*-2*sqrt(6)). -5*sqrt(5)/12 Simplify ((sqrt(1050) - sqrt(1050)*-4)/(-6*-5*sqrt(6)))**2. 175/36 Simplify (sqrt(114) + -5*3*sqrt(114))/(sqrt(42)/(sqrt(7) + sqrt(343) + sqrt(7))). -126*sqrt(19) Simplify ((2*sqrt(99)*6)/((sqrt(9) + sqrt(9)*2 + sqrt(9))*6 - sqrt(9)) - (-5 + (sqrt(11) - 1*sqrt(1584)) + -1))**2. 3180*sqrt(11)/23 + 791519/529 Simplify ((sqrt(637) + 3)**2 - -4*sqrt(13)*-2)*6. 204*sqrt(13) + 3876 Simplify (-2 + sqrt(171) + -5 + 1 + sqrt(171) + 0)**2*-3. -2160 + 216*sqrt(19) Simplify (5 + 3 + sqrt(1792) + (sqrt(28) - 3*sqrt(4032)))**2. -864*sqrt(7) + 20476 Simplify (-2*sqrt(2299) + sqrt(19)*1 + 5 + sqrt(19) + (sqrt(2736) + -2*sqrt(2736))*6 + -2)**2. -552*sqrt(19) + 160825 Simplify (-3*(sqrt(200) + 0)*5)**2 + (-1*(2 + sqrt(200))*5)**2. 1000*sqrt(2) + 50100 Simplify 6*((sqrt(147) - (sqrt(147) + sqrt(147)*-4)*1)**2 + 0) + -3. 14109 Simplify 5*(0 + sqrt(704) + 0 + ((0 + sqrt(704) - sqrt(704)) + -2 - sqrt(704)) - (-4 + sqrt(704) + 6*(-1 + sqrt(704))))**2. -4480*sqrt(11) + 172800 Simplify (sqrt(896)/sqrt(4))/sqrt(7) + (sqrt(98) + 1 + -4 - sqrt(98)). -3 + 4*sqrt(2) Simplify (-2 + 4*(sqrt(13) + -1 - sqrt(13)) + 5 + (sqrt(468) - 3*sqrt(468)))**2. 24*sqrt(13) + 1873 Simplify (2*-1*sqrt(187))/(sqrt(121)/(sqrt(11) - sqrt(44))). 2*sqrt(17) Simplify ((3*((-2*sqrt(280) - sqrt(280)) + sqrt(280) - sqrt(280) - sqrt(280)))/(sqrt(1960) - sqrt(40)))**2. 28 Simplify -5 + (sqrt(1216) - (-1 + (sqrt(1216) + -1)**2 - sqrt(1216)))*5 + -3. -6088 + 160*sqrt(19) Simplify 2 + 5*(sqrt(136)/sqrt(32) + sqrt(153)/(2*sqrt(9)))*-1. -5*sqrt(17) + 2 Simplify (-1*(2 + sqrt(17)) + -3 - (3 + sqrt(17) + (sqrt(17) - (sqrt(17) + -5)) + 5))**2. 72*sqrt(17) + 392 Simplify (2 + -6*(sqrt(147)*3 - sqrt(147)) + 1*-6*3*sqrt(147))**2. -840*sqrt(3) + 132304 Simplify ((sqrt(152) + (sqrt(152) - -1*sqrt(152))*1)*6)/((sqrt(56) + sqrt(3584)*2 + sqrt(3584))/sqrt(7)). 18*sqrt(19)/25 Simplify (5 + (-3*sqrt(325) - sqrt(325)))**2 - 3*2*sqrt(325). -230*sqrt(13) + 5225 Simplify sqrt(350)/sqrt(7) + 5 + (2 + sqrt(288)*-2 - sqrt(288))**2. -139*sqrt(2) + 2601 Simplify 3 + (sqrt(11) - (sqrt(132)/(sqrt(12)*1) + sqrt(11))) + (sqrt(275) - (-3 + -3
{ "pile_set_name": "DM Mathematics" }
(base 7) to base 4 122 Convert 113 (base 8) to base 4. 1023 Convert 5 (base 10) to base 7. 5 103 (base 4) to base 14 15 Convert 3 (base 10) to base 11. 3 What is 3 (base 11) in base 5? 3 4 (base 15) to base 2 100 What is 3 (base 12) in base 4? 3 Convert -6a (base 11) to base 9. -84 What is -b (base 16) in base 10? -11 -2 (base 16) to base 11 -2 What is f1 (base 16) in base 15? 111 Convert 4 (base 11) to base 13. 4 -2 (base 15) to base 12 -2 Convert 212 (base 4) to base 10. 38 -10 (base 5) to base 7 -5 15 (base 8) to base 10 13 What is 16 (base 9) in base 16? f Convert -14 (base 5) to base 3. -100 What is -39 (base 10) in base 11? -36 8 (base 9) to base 10 8 -11011001 (base 2) to base 8 -331 Convert -1050 (base 6) to base 16. -f6 What is -7a (base 13) in base 2? -1100101 What is 0 (base 15) in base 2? 0 36 (base 8) to base 14 22 What is 1 (base 7) in base 2? 1 Convert -3 (base 13) to base 2. -11 What is -161 (base 7) in base 15? -62 440 (base 6) to base 4 2220 37 (base 8) to base 10 31 Convert 210 (base 3) to base 13. 18 What is 10 (base 4) in base 15? 4 -1000 (base 4) to base 14 -48 Convert -1 (base 3) to base 8. -1 11101111 (base 2) to base 11 1a8 What is 118 (base 11) in base 4? 2030 -102 (base 6) to base 7 -53 What is -14 (base 12) in base 15? -11 Convert -14 (base 9) to base 16. -d What is -4 (base 16) in base 10? -4 What is 17 (base 8) in base 11? 14 3d (base 16) to base 5 221 What is 5 (base 10) in base 4? 11 -11 (base 2) to base 12 -3 What is -3 (base 9) in base 13? -3 -38 (base 12) to base 5 -134 What is -302 (base 6) in base 2? -1101110 Convert -29 (base 10) to base 13. -23 Convert 1 (base 11) to base 16. 1 Convert 6b (base 15) to base 13. 7a Convert a (base 14) to base 9. 11 2 (base 15) to base 6 2 Convert 1 (base 14) to base 11. 1 Convert -2 (base 14) to base 13. -2 What is -4 (base 16) in base 4? -10 39 (base 13) to base 10 48 Convert -6 (base 16) to base 11. -6 e (base 16) to base 12 12 Convert 7 (base 14) to base 7. 10 Convert -6 (base 15) to base 4. -12 Convert -16 (base 9) to base 14. -11 What is 12 (base 3) in base 5? 10 Convert -2 (base 13) to base 14. -2 Convert -11 (base 15) to base 2. -10000 What is 12 (base 8) in base 15? a What is -3103 (base 4) in base 7? -421 -5b (base 13) to base 6 -204 1 (base 15) to base 16 1 -2 (base 15) to base 4 -2 What is 5 (base 14) in base 10? 5 What is -14 (base 6) in base 5? -20 What is 23 (base 13) in base 10? 29 Convert 4 (base 12) to base 8. 4 What is -3 (base 7) in base 8? -3 -2 (base 16) to base 13 -2 Convert 304 (base 6) to base 4. 1300 What is 44 (base 7) in base 13? 26 12 (base 15) to base 8 21 What is 4 (base 12) in base 5? 4 -25 (base 7) to base 15 -14 -58 (base 15) to base 16 -53 What is 3 (base 7) in base 11? 3 24 (base 10) to base 11 22 Convert 4 (base 8) to base 11. 4 Convert -8 (base 9) to base 3. -22 What is -14 (base 14) in base 5? -33 What is -25 (base 6) in base 4? -101 What is 11110101 (base 2) in base 11? 203 What is -3 (base 15) in base 12? -3 -36 (base 9) to base 13 -27 What is -1 (base 3) in base 6? -1 Convert -10 (base 6) to base 5. -11 Convert 20 (base 8) to base 12. 14 What is 411 (base 7) in base 11? 176 Convert 2 (base 16) to base 7. 2 -10 (base 2) to base 7 -2 -10011011 (base 2) to base 15 -a5 Convert 91 (base 14) to base 3. 11201 Convert -141 (base 8) to base 15. -67 -37 (base 15) to base 3 -1221 10110 (base 2) to base 3 211 Convert -32 (base 4) to base 12. -12 Convert 2 (base 15) to base 6. 2 4 (base 13) to base 5 4 Convert 405 (base 6) to base 13. b6 Convert 18 (base 10) to base 6. 30 What is 2 (base 6) in base 14? 2 What is 103 (base 6) in base 16? 27 What is -36 (base 9) in base 12? -29 What is -211 (base 3) in base 8? -26 Convert 5 (base 14) to base 16. 5 What is 2 (base 16) in base 5? 2 What is 110 (base 3) in base 13? c Convert 7 (base 15) to base 8. 7 -6 (base 7) to base 4 -12 0 (base 15) to base 2 0 11 (base 3) to base 13 4 -36 (base 7) to base 10 -27 Convert -311 (base 7) to base 16. -9b What is -56 (base 15) in base 6? -213 -115 (base 6) to base 12 -3b What is 32 (base 13) in base 3? 1112 Convert -11010 (base 2) to base 4. -122 Convert 60 (base 13) to base 11. 71 What is 324 (base 5) in base 6? 225 What is -52 (base 9) in base 5? -142 Convert 2010 (base 4) to base 8. 204 12 (base 8) to base 13 a What is -38 (base 12) in base 2? -101100 What is -51 (base 8) in base 5? -131 Convert 3 (base 11) to base 7. 3 What is 1404 (base 5) in base 8? 345 What is 101000 (base 2) in base 7? 55 What is -bb (base 15) in base 6? -452 3b (base 14) to base 11 49 Convert -7 (base 12) to base 9. -7 What is 3d (base 15) in base 10? 58 111110 (base 2) to base 10 62 What is 3 (base 4) in base 15? 3 -11 (base 13) to base 16 -e What is 4 (base 8) in base 15? 4 -5 (base 6) to base 11 -5 Convert 360 (base 8) to base 7. 462 -311 (base 4) to base 14 -3b Convert 0 (base 8) to base 15. 0 1255 (base 6) to base 13 1bb 20 (base 9) to base 5 33 Convert 31 (base 16) to base 7. 100 Convert 3 (base 6) to base 14. 3 0 (base 2) to base 15 0 Convert 2 (base 7) to base 16. 2 Convert -111 (base 2) to base 3. -21 11 (base 9) to base 5 20 What is 7c (base 15) in base 11? a7 Convert 18 (base 13) to base 10. 21 0 (base 9) to base 13 0 1111 (base 4) to base 9 104 -180 (base 9) to base 5 -1103 Convert 1 (base 16) to base 11. 1 -b (base 13) to base 12 -b Convert 62 (base 10) to base 16. 3e -a9 (base 16) to base 7 -331 Convert -7 (base 15) to base 5. -12 22110 (base 3) to base 11 198 Convert -42 (base 5) to base 12. -1a -10 (base 2) to base 5 -2 Convert -4 (base 13) to base 14. -4 Convert 10 (base 6) to base 9. 6 What is 4 (base 15) in base 2? 100 -22 (base 7) to base 6 -24 What is 64 (base 14) in base 15? 5d Convert -a (base 13) to base 4. -22 3 (base 10) to base 16 3 What is -3 (base 10) in base 2? -11 -242 (base 5) to base 12 -60 -3e (base 15) to base 2 -111011 Convert 42 (base 7) to base 14. 22 What is 21 (base 12) in base 9? 27 Convert 540 (base 6) to base 11. 176 What is 66 (base 9) in base 13? 48 Convert 11 (base 13) to base 14. 10 111 (base 6) to base 14 31 Convert -255 (base 9) to base 12. -158 -3 (base 15) to base 3 -10 2 (base 13) to base 9 2 Convert a (base 14) to base 4. 22 Convert 81 (base 13) to base 15. 70 What is 116 (base 16) in base 6? 1142 -22 (base 4) to base 5 -20 What is -1 (base 14) in base 11? -1 -2 (base 3) to base 15 -2 77 (base 13) to base 3 10122 -1 (base 5) to base 9 -1 What is -3 (base 8) in base 11? -3 100 (base 2) to base 16 4 1110 (base 3) to base 7 54 What is -3 (base 9) in base 8? -3 -17 (base 14) to base 15 -16 -1001 (base 2) to base 13 -9 -101 (base 2) to base 6 -5 b (base 14) to base 2 1011 Convert -78 (base 9) to base 14. -51 Convert 2 (base 12) to base 9. 2 -c7 (base 14) to base 16 -af -230 (base 5) to base 11 -5a 100 (base 2) to base 15 4 Convert 100110011 (base 2) to base 8. 463 What is 200 (base 3) in base 11? 17 Convert 10 (base 8) to base 7. 11 What is -10 (base 7) in base 5? -12 Convert 10 (base 12) to base 2. 1100 -14 (base 16) to base 12 -18 What is c1 (base 16) in base 11? 166 Convert -4 (base 13) to base 2. -100 Convert -1 (base 14) to base 7. -1 11 (base 2) to base 12 3 What is -55 (base 11) in base 3? -2020 Convert 11 (base 7) to base 11. 8 Convert -17 (base 11) to base 4. -102 Convert 0 (base 12) to base 5. 0 What is 80 (base 9) in base 15? 4c -2 (base 9) to base 11 -2 -2 (base 13) to base 12 -2 Convert 1 (base 10) to base 5. 1 34 (base 10) to base 11 31 What is 4 (base 12) in base 13? 4 -100 (base 4) to base 12 -14 9 (base 10) to base 12 9 What is 231 (base 11) in base 10? 276 -110 (base 6) to base 2 -101010 22 (base 12) to base 8 32 What is 5 (base 15) in base 4? 11 -31 (base 6) to base 8 -23 What is 2034 (base 5) in base 13? 179 What is 14 (base 8) in base 6? 20 65 (base 11) to base 15 4b Convert -322 (base 7) to base 13. -c7 Convert c (base 13) to base 6. 20 9 (base 14) to base 8 11 What is 10 (base 14) in base 9? 15 1 (base 12) to base 5 1 111 (base 5) to base 6 51 What is 92 (base 13) in base 6? 315 -1b (base 14) to base 9 -27 Convert -16 (base 12) to base 15. -13 22 (base 13) to base 8 34 Convert -9 (base 11) to base 5. -14 25 (base 12) to base 5 104 What is 11 (base 3) in base 4? 10 -59 (base 14) to base 11 -72 What is -1 (base 4) in ba
{ "pile_set_name": "DM Mathematics" }
Let i(a) = v*a**2 + 1 + 1 - a**3 + 2*a**3. Give i(r). 2 Let y(b) = 42*b**2 - 36*b**2 - b**3 + 2 + 5 - 4*b. Determine y(5). 12 Let j be (-1095)/75 + 4/(-10). Let p be j/6 - 1/2. Let z(g) = g**3 + 3*g**2. Determine z(p). 0 Suppose 2*t - 2 = -10. Suppose 4*y - 5 + 1 = 0. Let f(k) = 5*k + k**2 - y + 2 - 2*k. Give f(t). 5 Let w(r) = -r**3 - 3*r**2 + 5*r + 6. Suppose -2*n - y = -11, -4*n - 4*y + 29 = -n. Suppose -o = -a - 5, -7 = n*a + o + 4. Calculate w(a). 2 Let y(f) = -f**2 + 3*f + 4. Let h = 11 + -8. Determine y(h). 4 Let f(y) = -y + 2. Let m be f(-1). Let k(w) = w**2 - 2*w. What is k(m)? 3 Let m(u) = -5 - 7*u - 6*u + 12*u - u**2. Determine m(0). -5 Let c(r) be the second derivative of -r**6/720 - r**5/120 + r**4/6 + 8*r. Let z(u) be the third derivative of c(u). Suppose -2*k - 20 = 3*k. Determine z(k). 3 Let f(g) = -g + 2. Suppose 5*h + 20 = 0, -4*c = -4*h - 7 + 23. Let p = -37 + 24. Let t = c - p. Determine f(t). -3 Let y(d) = d**2 + 4*d - 1. Let s be 580/44 - 4/22. Let l = -21 + s. Let u = 3 + l. Calculate y(u). 4 Suppose 10*g + 7 = 3*g. Let q(s) = 3*s**3 - 2*s**2 - 2*s - 1. Determine q(g). -4 Let q = 20 - 24. Let b(f) = -27*f**2 + 17*f**2 + 3*f + f**3 + 14*f**2. Give b(q). -12 Let p = 10 - 6. Let l(u) be the third derivative of u**5/60 - u**4/12 + u**3/3 - 19*u**2. Calculate l(p). 10 Let k(g) = -g + 8. Let f be k(6). Let u(y) = -2*y + y + 0*y + f*y. Suppose 4*v = -3*s - 0*s - 2, 12 = -4*s + 4*v. What is u(s)? -2 Let x = 5 - 3. Let r(a) = 0*a**2 - 4 + 2*a**3 - a**2 + 2 - a. Give r(x). 8 Let a = 11 - 15. Let d(x) = -x**3 + x**2 + 2. Let v be d(0). Let m(t) = -6*t - 6 + v*t - 5*t**2 + 0*t**3 - t**3. What is m(a)? -6 Suppose -20 = 3*f + f. Let h(x) = 6*x + 1. Let w(s) be the third derivative of 5*s**4/24 + s**3/6 + 2*s**2. Let q(t) = -6*h(t) + 7*w(t). Determine q(f). 6 Let j(x) = x**2 - x. Let o(u) be the first derivative of -2*u**3/3 + 4. Let s(y) = -j(y) - o(y). Calculate s(-3). 6 Let m(t) = -3*t**2 + 5*t + 4. Let o(y) = -2*y**2 + 3*y + 3. Let r(w) = 5*m(w) - 8*o(w). What is r(-3)? 2 Let b(m) = 2*m. Let d(u) = 4*u - 1. Let z(x) = 10*b(x) - 4*d(x). Give z(7). 32 Let b(i) = 2*i - 10. Let c(a) = -4*a + 20. Let l(f) = -7*b(f) - 4*c(f). Calculate l(7). 4 Let b(n) be the first derivative of 5*n**2/2 - 10. Give b(-1). -5 Let o be 1*2/2 - -3. Let g(z) = -1 + 2 + o*z - z - 4*z. Suppose 0 = 3*c + 2*k - 6, 0*k = 3*c + 5*k - 15. Give g(c). 1 Let i(m) = -4*m - 15. Let g(t) = -t - 5. Let p(r) = -7*g(r) + 2*i(r). Give p(4). 1 Let i(f) be the first derivative of -f**3/3 - 3*f**2 - 2*f + 5. Determine i(-6). -2 Suppose -4*c - 10 = -2*z, -5*z = -z - 4*c - 12. Let j(l) = z + 0 - l**2 + 5 - 5*l. Let a be ((-9)/(-3) - 5) + -3. Give j(a). 6 Let k(w) = -w**2 + 4*w + 1. Let t(b) = 1. Let h(c) = k(c) + 5*t(c). Determine h(6). -6 Let h(u) be the first derivative of 6*u**2 + u + 57. What is h(-1)? -11 Suppose -3*r + 0*r = 0. Suppose -2*a + 3 - 9 = r. Let v(z) = -2*z**2 - 4*z - 1. Determine v(a). -7 Let p(v) = v - 15. Suppose -2*n + 0*n = 0. Calculate p(n). -15 Let v(a) = a**3 + 2*a**2 - 3*a - 1. Suppose 2 = -2*d - 4. Calculate v(d). -1 Suppose 7*i + 1 = 6*i. Let b(j) = 5 - 4 - 3*j**3 + 0*j**2 - j**2. What is b(i)? 3 Let m(r) = -r. Suppose 0 = 5*w - 2 - 8. Let u(b) = 2*b**2 - 2*b + 2. Let o be u(w). Suppose -o = -0*x - 2*x. Calculate m(x). -3 Let g(i) = i + 8. Let u be g(-5). Let p(s) be the third derivative of 0 - 1/120*s**6 + 0*s - 2/3*s**u + 0*s**5 - s**2 + 0*s**4. Determine p(0). -4 Let n(v) = v**3 - 4*v**2 - v + 1. Let x = -2 - -4. Suppose -7 = -2*l + i, 2*l + x*l - 13 = 3*i. What is n(l)? -3 Let w(n) = -11*n**2 - 3. Let a(s) = -10*s**2 + s - 4. Let o(t) = -2*a(t) + 3*w(t). Give o(-1). -12 Let k(q) be the first derivative of -q**3/3 + 9*q**2/2 - 9*q + 6. What is k(6)? 9 Let o(s) = -s - 4. Let q(c) = 5*c + 4. Let l = 11 - 13. Let w be q(l). Calculate o(w). 2 Let i(r) be the third derivative of -r**6/120 + r**5/30 + r**4/6 + r**3/2 - 7*r**2. Calculate i(-2). 11 Let n(u) be the second derivative of 1/2*u**2 + 0 + 0*u**4 + 3/10*u**5 - 5*u - 1/3*u**3. What is n(1)? 5 Suppose 5*z = -4*f + z - 28, 5*z + 27 = -f. Let m be (0 + 9)*f/(-6). Let u(v) = 3 - 2*v**2 - 4*v + v**m + 0 - 5 + 5. Give u(3). 0 Let o(v) = 9*v**2 + v - 1. Let d(s) = s + 14. Let j be d(-7). Let a(l) = j*l - 4 + 2*l**2 - l**2 + 5. Let i be a(-7). Determine o(i). 9 Let g(f) = f**2 - 8*f. Let x be g(7). Let v be -2 - (x + (-1 - 0)). Let s be (-1)/(2/(-2 + v)). Let z(i) = 3*i**2 + i - 1. What is z(s)? 9 Let i = 15 - -30. Let b be 2/(-5) - (-243)/i. Let d(n) = -3 + n**2 + b - 1 - 2*n. What is d(1)? 0 Let g(y) be the first derivative of -y**4/4 + 4*y**3/3 + y**2 - 3*y - 14. Determine g(4). 5 Suppose 0 = -0*f + 2*f - 6. Suppose -f*u = u - 8. Let z(b) = 2*b + u*b - 5 - 5*b. Determine z(0). -5 Let l be 22/6 + (-6)/9. Suppose -4*x - c = l*c - 24, -3*c = 4*x - 20. Let g(w) = w**2 + 5 - w + 2*w**2 - x*w**2. Calculate g(0). 5 Let g = -2 - -2. Let d(t) = 3*t + 1 + g + 2 - 1. Calculate d(-2). -4 Let i = 4 - 1. Let n(y) = 4*y**2 - 2*y - 2. Let l(c) = -13*c**2 + 5*c + 7. Let t(r) = 2*l(r) + 7*n(r). Give t(i). 6 Suppose 3*y + 3 + 4 = 2*t, -2*t + 8 = -2*y. Let o(u) be the third derivative of -u**2 + u**3 + 0 + 1/60*u**t + 0*u - 1/3*u**4. Calculate o(5). -9 Let n be (21/4)/((-4)/16). Let c be n/(-6) + 1/(-2). Let o(u) = -2*u - c - u + 0*u. Calculate o(3). -12 Let j = 167 - 119. Let w be 6/(-21) - j/(-21). Let a(d) = d**3 - 4*d**2 + 3*d - 3. What is a(w)? -5 Let p(z) = 3 - 13*z**2 + 15*z**2 + z**3 + 4*z**2. Determine p(-6). 3 Let f(h) = h**2 + 2*h + 2. Let j(n) = n**2 - 8*n + 5. Let p = -1 + 8. Let u be j(p). What is f(u)? 2 Let a(w) = 2 + w - 133*w**2 + 132*w**2 - 7*w. Give a(-5). 7 Let g(d) = -d**2 - 7*d - 5. Suppose -2*b = 3*q - 9, 0 = b + b - 6. Let y = q - -1. Suppose -5 = -o + y*p, -5*p - 40 = o + 2*o. What is g(o)? 5 Suppose -5*u + 17 = -3*s - 10, 2*u - 2 = -s. Let y(v) be the third derivative of -1/8*v**4 - 1/60*v**5 - 2/3*v**u + 0*v + 0 - v**2. Give y(-3). -4 Let c(f) = -2*f + 3 + f**3 + 0*f - 1. Suppose -4*k + 16 = 0, 2*a - 4*k + 36 = 6*a. Suppose 0 = -5*m + 10, 4*b - a*m + 6*m - 10 = 0. What is c(b)? 6 Suppose -3*q + 8*q + 35 = 0. Let z(p) = p**2 - 9*p + 3. Let w be z(8). Let l = w - q. Let o(a) = 4*a. Determine o(l). 8 Let s = 14 + -12. Let m(d) = -d**3 - d**2 - d + 2. Calculate m(s). -12 Let r(k) = 2*k**2 - 4. Let n(y) = y**2 + y. Let g(b) = n(b) - r(b). Give g(-3). -8 Let p(q) = q**3 + 5*q**2 + 2*q - 4. Suppose -5*r + 4*l + 23 = 0, 0 = -2*r + l + 12 - 4. Suppose r = -t - 1. What is p(t)? 4 Let k(q) be the third derivative of -q**6/120 + q**5/15 + 5*q**4/24 + q**3/3 - 15*q**2. Give k(5). 2 Let r be (-12)/20 + 13/5. Let c(h) be the first derivative of -h**4/2 + 2*h**3/3 + 2. Give c(r). -8 Let f(p) be the first derivative of p**5/120 - p**4/6 + p**3/3 - 3. Let j(l) be the third derivative of f(l). Give j(4). 0 Let b = 10 + -17. Let w(v) = 3*v**2 + 28*v - 4. Let k(u) = -u**2 - 9*u + 1. Let q(c) = -7*k(c) - 2*w(c). Calculate q(b). 1 Suppose -5*a = -d - 31, -12 = -6*a + 3*a. Suppose 1 = -w - 7. Let g = d - w. Let n(b) = -2*b. Give n(g). 6 Let v(d) = -d**2 + 7*d + 0 - 1 + 1. What is v(7)? 0 Let z(c) be the first derivative of -c**6/360 + c**5/20 - c**4/12 - c**3 + 2. Let k(o) be the third derivative of z(o). Give k(5). 3 Let t = -118 + 112. Let v(y) = y**2 + 4*y - 8. Give v(t). 4 Let o(r) = 10*r**3 + r**2 - 2*r + 1. Let p(z) = -z**3 + 6*z**2 - 2*z - 4. Let v be p(4). Suppose -2*g + v = 3*g. Let f be g - (-5)/((-10)/6). Determine o(f). 10 Suppose 5*n - 58 = 4*u, -n - n = -2*u - 28. Suppose -28 = 2*y + 6. Let v = y - u. Let s(i) = i**2 + 3*i - 5. Determine s(v). 5 Let x(p) be the third derivative of 0*p + 1/3*p**3 + 1/60*p**5 + 0 + p**2 - 5/24*p**4. Determine x(5). 2 Let g(z) = z**3 - 3*z**2 + 2. Let n be g(3). Let s(j) = n*j**2 - j**2 - j - 3*j**2. Suppose 3*v = 5*w - 1, -w + 2*v + 0 = -3. Give s(w). -1 Let t(r) be the second derivative of 2*r + 0*r**2 + 1/12*r**4 + 1/3*r**3 + 0. Calculate t(-2). 0 Let d(c) = -14*c - 18. Let w(v) = 5*v + 6. Let p(b) = 4*d(b) + 11*w(b). Let z be 2/(-6) + (-1)/(-3). Calculate p(z). -6 Let s(l) = 7*l**2 - 8*l + 3. Let j(z) = -8*z**2 + 9*z - 4. Let w(y) = 5*j(y) + 6*s(y). What is w(3)? 7 Let z(a) be the first derivative of -a**2 + 14*a**3 + a**2 - 15*a**3 + a - 3. Calculate z(1). -2 Let
{ "pile_set_name": "DM Mathematics" }
value? (a) 4 (b) 1/6 (c) 0 (d) -2/9 (e) 1/14 (f) -465.4 f What is the fifth biggest value in 39/11, 11, -0.5, -7, 3? -7 What is the fifth biggest value in -0.5, -3/7, -80/9, 1/3, -809? -809 Which is the sixth smallest value? (a) -0.2 (b) -6 (c) 0.7 (d) 0.037 (e) 1 (f) -0.5 (g) 2/3 c What is the biggest value in -2/4339, 8, 2/263? 8 Which is the biggest value? (a) 14 (b) 0.4 (c) -16 (d) 22 (e) -2/33 (f) 1 d Which is the fourth smallest value? (a) 3 (b) -1 (c) -7 (d) -14693 (e) -10 b What is the third smallest value in 4, -21.7, 3652? 3652 Which is the biggest value? (a) -0.1 (b) -22/81 (c) -13/30 (d) -4 (e) 3 e Which is the third smallest value? (a) -3 (b) 32 (c) 1/48 (d) 5 (e) -0.3 c Which is the third biggest value? (a) 0.3 (b) 5/41844 (c) 3 (d) -21/4 b Which is the fourth biggest value? (a) -0.08 (b) 0 (c) -3/14 (d) 1 (e) 0.5 (f) -16/2989 (g) 2 b What is the biggest value in 0, -2/9, -8, 2/9, -8/30717? 2/9 Which is the third smallest value? (a) 4 (b) 784 (c) -2/19 (d) 7/312 a What is the fifth biggest value in -0.1, -516/139, -2/11, -3/2, -0.6? -516/139 Which is the second biggest value? (a) -2/15 (b) 629 (c) 4 (d) 2/2223 c What is the third biggest value in -2, 2, -0.5, -5, -73, 8? -0.5 What is the smallest value in 5, -202831/29, 0.01? -202831/29 What is the sixth biggest value in 1.4, -0.3, -4, 0.9, 0.8, 58? -4 Which is the fifth smallest value? (a) 21 (b) 2 (c) 2/15 (d) 0 (e) -0.05 (f) -0.11 (g) -0.07 c Which is the second biggest value? (a) 0.5 (b) 3 (c) 2609/4 (d) 3/5 (e) -3 (f) -38 b What is the third smallest value in -3, -0.2, -5/2, 0.1, -15/122, -2? -2 What is the second biggest value in -142/7, 1.57, 1.85? 1.57 What is the fourth smallest value in -1/12, 1, 0.2, 4, -0.047, -3/10, 0? 0 What is the third smallest value in 9/2, 6, -3, -51.4? 9/2 What is the sixth biggest value in -5, 16684, -0.2, -0.01, 11, 0.2? -5 What is the biggest value in 0.1, 0.4, -16, 2/19, -0.9001? 0.4 What is the fourth smallest value in 4, -0.5, -5/7, -3, 728/29, 2/5, -3/2? -0.5 What is the third biggest value in -0.68, 1, 0.3, -2, -0.2, 349, 1/6? 0.3 What is the second biggest value in -2/11, 3, 32, 1, -119? 3 What is the fourth smallest value in 0, -4, 47.482, 0.06? 47.482 What is the second smallest value in 0.2, -0.5, 1.0142, -5, -40, 0.4, -1? -5 Which is the biggest value? (a) -36 (b) 1246 (c) -50.7 b What is the biggest value in 13040, -1/24, 5? 13040 What is the second biggest value in -1/9, 2/7, 2.81, -2/3, 113, 0.1? 2.81 What is the biggest value in 2, 14, -1/8, 58, -2/23, -2/51, -2.3? 58 What is the fifth smallest value in -3, 5, 2, 21/401, -4? 5 Which is the second smallest value? (a) -3/7 (b) 350 (c) -1 (d) 1/4 (e) -2 (f) 0.19 c What is the fifth biggest value in -30.5, 21, -1/7, -1, 22.62? -30.5 What is the fifth biggest value in -2/9, 3, -15, 302, 93? -15 Which is the seventh smallest value? (a) -2/13 (b) 1/9 (c) -0.19 (d) -3 (e) 0.1 (f) -1/3 (g) 6/7 g Which is the fifth smallest value? (a) -0.2 (b) 779 (c) -306.8 (d) 4 (e) -1/3 (f) -0.4 (g) 3/4 g Which is the biggest value? (a) -962 (b) -1/3 (c) 3 (d) 1 (e) -0.9 (f) -2/7 c What is the third biggest value in -3, 305, -1/4, -0.07, -2/49? -0.07 What is the third biggest value in -22/31, 2676, -3/7, -3? -22/31 Which is the second smallest value? (a) -4 (b) 5 (c) -12.4 (d) -116 (e) -1.6 c What is the second smallest value in -264, -1, -16/711? -1 Which is the second smallest value? (a) 8 (b) 56 (c) 0.2 (d) 85 (e) -4 (f) -0.1 f Which is the fourth smallest value? (a) -21/4 (b) 75 (c) -3 (d) -598/9 b What is the fourth smallest value in -1/3, 2/5, 2, 0, -5, -2? 0 What is the third smallest value in -6/11, 5, 332, 0.29, 7/4, 1/4? 0.29 Which is the third biggest value? (a) -3/4 (b) -2/11 (c) 1/9 (d) -134/141 (e) 1/10 b Which is the smallest value? (a) -8/5 (b) -72 (c) 120.3 b Which is the smallest value? (a) 22109 (b) -3 (c) -0.2 (d) 1/20 b What is the second smallest value in -0.33, -1/2, 0.7, 3, -4, -5/4? -5/4 Which is the smallest value? (a) 4 (b) 2 (c) 0.5 (d) 384 (e) 16.08 c Which is the fourth smallest value? (a) -6/203 (b) 100 (c) -0.2 (d) -1/2 b What is the third smallest value in -13, 0.03, 1/6, 15, 1.2, 3? 1/6 Which is the fourth smallest value? (a) -2 (b) 49/46 (c) 8 (d) -1/6 (e) -3 b What is the second biggest value in -8700, -1, 5, 18/53, 6? 5 What is the third smallest value in 367, 0, -2/14247, 5/4? 5/4 Which is the fourth biggest value? (a) 0.4 (b) 3 (c) 3274.848 (d) 0.3 d What is the third smallest value in -0.5, 3, -0.3, -0.04, -117122, -5? -0.5 Which is the second smallest value? (a) 9671 (b) -0.08 (c) -0.07 (d) -5 (e) 5 b What is the third smallest value in 73, 16074, 1/8, 2? 73 What is the second smallest value in 2665, -4/9, -3899? -4/9 Which is the second smallest value? (a) 1 (b) 3/13 (c) -1802/209 b What is the fourth biggest value in 0, 2253, 36, 197? 0 What is the biggest value in -81, 3, 2/7, 4, 396/7? 396/7 Which is the second smallest value? (a) -1 (b) -5660 (c) -953 (d) 0 c Which is the second smallest value? (a) 1.63553 (b) -4 (c) -146 b Which is the third biggest value? (a) -275/6 (b) 56 (c) -1/4 (d) 26 c Which is the fifth smallest value? (a) -0.0921 (b) -6 (c) 41 (d) -4 (e) -2 (f) 0.7 f What is the fifth biggest value in -1/11, 23/1839, 2, -5, 4? -5 Which is the fourth smallest value? (a) 0 (b) -8 (c) 0.5 (d) 51.58 (e) 4 (f) 6/7 f What is the biggest value in 5/4, -759, 6, 1.6? 6 What is the second biggest value in 11, 8, -0.93, 47? 11 Which is the second biggest value? (a) 4975 (b) 42.4 (c) -25/2 b Which is the seventh biggest value? (a) -84 (b) -3/50 (c) 5 (d) -6 (e) -1/2 (f) -5 (g) -1 a What is the smallest value in -9/7, 1, -2, 4, 3877? -2 Which is the third biggest value? (a) 1/2 (b) 825 (c) -5 (d) 26 a Which is the second smallest value? (a) -11613/20 (b) -318 (c) -2/21 b What is the sixth biggest value in 5, -0.3, -0.01, -1/108071, -2, -4/9? -2 Which is the second biggest value? (a) 5122 (b) -3 (c) -0.1 (d) 18 (e) 8 d What is the second smallest value in 7, 2, 2/3, -2/19, -238, 0.15? -2/19 What is the third biggest value in 2/139, -0.124, -2/3? -2/3 What is the sixth biggest value in 4, -10/27, -15, -0.23, -12, 3/2, 0.2? -12 What is the sixth biggest value in 4/11, -3, 52.6, -0.4, 0.06, 5, -3/8? -0.4 What is the fourth smallest value in -4, -3/4, 0.5, -0.1021881, 0? 0 Which is the sixth biggest value? (a) 2 (b) 3 (c) -2/9 (d) 7/2 (e) 9 (f) 2/393 (g) -0.4 c What is the second smallest value in -2, 23906, 0.5, -597.2? -2 Which is the third smallest value? (a) -3/7 (b) -0.2 (c) 1/4 (d) 12213 (e) 0.1 e What is the fifth smallest value in -0.28282, 74, 3, 2/3, 0.1? 74 Which is the fourth smallest value? (a) 1/26 (b) -8 (c) -0.158 (d) 1/5 (e) -1/7 (f) -1/5 e Which is the seventh biggest value? (a) -3/7 (b) 0 (c) 5 (d) 3 (e) -16.06 (f) -2/203 (g) -3 e Which is the smallest value? (a) -0.2 (b) -8 (c) -0.02 (d) 0 (e) 3/2 (f) -7/33 b Which is the second smallest value? (a) 50318 (b) -0.5 (c) 155 (d) 2/11 (e) 5 (f) 0.4 d Which is the third biggest value? (a) 7 (b) -1525 (c) 1.46 b Which is the third biggest value? (a) -3696108 (b) 1 (c) 16 a What is the second biggest value in 49/5, 4, -25, 209, -4/3? 49/5 Which is the third biggest value? (a) 114 (b) 5 (c) 1/3 (d) 0.2 (e) -616 (f) 0.5 (g) 2/37 f Which is the smallest value? (a) -0.182 (b) -9182 (c) -3 b What is the third smallest value in 2/13, 4, 203, -1/8, 0, -48, 2? 0 What is the second smallest value in -2/5, 0.5, -4, -5, -51, -3, -0.0493? -5 Which is the second biggest value? (a) 1 (b) -2/17 (c) -964910 (d) 5 a Which is the smallest value? (a) -4.2 (b) 1.39 (c) -604 c What is the fourth smallest value in -5, 1/5, 45, -3/7, 0, -0.038, 1? 0 What is the seventh smallest value in -5, -1, 2, 2/7, 0.03, -0.3, -4? 2 Which is the smallest value? (a) -6 (b) 0 (c) -5/3 (d) -3 (e) 82.9 a What is the third biggest value in 4, 2, 309/260, -0.04, 3, 0, -4? 2 Which is the second smallest value? (a) 0.1798 (b) 5 (c) 54 b What is the second smallest value in -0.5, -5, -
{ "pile_set_name": "DM Mathematics" }
r = 2*j - 3*j + 11 for j. -4 Solve -5*u + 4*n - 26 = 0, u + 6 = 5*n - 16 for u. -2 Solve h = -3*h - 4*m - 8, -3*m = -3*h + 18 for h. 2 Solve 0 = -6*j + 3*j + 5*o - 32, -5*o + 12 = 2*j for j. -4 Solve -5*y - 55 = 5*c, -4*y + c = 4*c + 35 for y. -2 Solve -4*c + 5*d = 17, -3*c + 11*d - 16*d + 31 = 0 for c. 2 Solve 5*s + 9 = -3*t, 2*t - 2 - 17 = 5*s for t. 2 Solve h = -4, 3*b + 0*h = 3*h + 9 for b. -1 Solve -f + s + 7 - 5 = 0, 0 = 4*s + 20 for f. -3 Solve -20 - 6 = -4*a + 5*c, c + 14 = 3*a for a. 4 Solve 0 = 3*r + i + 1, 17*r - 18*r + 9 = 5*i for r. -1 Solve 5*g + 3*b - 37 = 0, 12 = -2*g + 4*b + 6 for g. 5 Solve 5*x = 5*o - 30 - 10, x - 2*o + 12 = 0 for x. -4 Solve 3*o - 2*l + 3 = 0, -15*o + 14*o - 1 = -5*l for o. -1 Solve 3*v + 35 = -5*h, -39 = 4*v - 2*h - 27 for v. -5 Solve 2*o - b = -2, -2*o + o + 3*b - 6 = 0 for o. 0 Solve 3*d + q - 4*q - 3 = 0, -5*d - 3*q = 35 for d. -4 Solve -16 = 6*n - 9*n - 2*j, 5*n - 7*j = -25 for n. 2 Solve 5*y = -q + 5, 4*y - 11 = -q - 8 for q. -5 Solve 9 = i - u + 4*u, -2*i = -5*u + 26 for i. -3 Solve 2*m + 3*m + 24 = 4*t, 3*m = -t - 11 for t. 1 Solve 0 = 2*g + 8, -5*g - 4 - 31 = 3*l for l. -5 Solve 3*f - 24*l - 4 = -28*l, f - 2*l + 12 = 0 for f. -4 Solve -3*p + 3 = -5*k - 1, -2*p + k = -5 for p. 3 Solve -12 = -4*d - 3*q, 7*d - 4 = 3*d - q for d. 0 Solve -5 = -c - 2*t, -2*t + 17 = -3*c - 0 for c. -3 Solve 2*d - 5*q - 24 = d, -5*d + 2*q + 5 = 0 for d. -1 Solve -k - k + 4 = -5*x, -2*x = -2*k + 4 for x. 0 Solve 0 = -2*w + 6, 0 = -3*f - 4*w + w for f. -3 Solve 1 + 2 = -3*s, -3 = -k + 4*s for k. -1 Solve 2*f - 4*o + 13 = 37, 3*f = 3*o + 21 for f. 2 Solve -v - 23*b - 30 = -18*b, 0 = 3*v + 5*b + 40 for v. -5 Solve -5*k + 8*f = 3*f, 2*f + 2 = 3*k for k. 2 Solve -3*b = -6*b - 3*h + 3, 0 = -3*h - 3 for b. 2 Solve -y = 4*o + 9 - 7, -3*y = -5*o - 11 for y. 2 Solve 30 - 8 = -i - 4*g, 0 = 5*i + g + 15 for i. -2 Solve -4*k + 2*v - 24 = 0, -3*k + 3*v = 2*k + 31 for k. -5 Solve -j - 3*v = -1, -3*j - 25*v + 30*v + 3 = 0 for j. 1 Solve -2*y - 14 = -3*y - 5*s, 5*y + 2*s - 1 = 0 for y. -1 Solve -5*l = 22*v - 17*v + 10, -3*l - 3 = 4*v for l. -5 Solve -a + 24 = -5*y, -3*a + 24 = -y - 2*y for a. 4 Solve -9 = a + m, -m = 4*m + 25 for a. -4 Solve 7*v = 12*v + 2*k, v - 2*v = 2*k for v. 0 Solve 2*a + 0*j - 2*j = 6, 0 = -5*a + 4*j + 13 for a. 1 Solve k = 5*x + 3, 9*x = 12*x + 3 for k. -2 Solve 0 = -5*s + 4*q + 22 - 0, 4*s - 5*q = 23 for s. 2 Solve -2*i + 13*a - 18*a - 8 = 0, 0 = 2*a + 4 for i. 1 Solve -l = -3*g + 4, -2*g = g for l. -4 Solve -5*o = -0*o - 4*x + 5, 3*o + x = -20 for o. -5 Solve 4*z = 0, 0 = 2*b + 5*z - 67 + 69 for b. -1 Solve 2*p + d = 0, -5*p = -2*d + 6 + 12 for p. -2 Solve -t + 8 = -5*j, 52*j + 5*t = 51*j - 12 for j. -2 Solve 4*p + p - 24 = z, 3*p = 15 for z. 1 Solve -5*s - 45 = a - 40, -2*a + 3*s = 10 for a. -5 Solve 4*r = 3*x, r + 2*r - 13 = -x for x. 4 Solve -6*b + 32 = -2*b + 5*i, 5*i = 2*b + 14 for b. 3 Solve -2*a + 8 = -4*p + 2, p - 6 = -a for a. 5 Solve 0 = 4*t - 5*t - 3*z - 8, 3*t + 2*z = -10 for t. -2 Solve 0 = -3*k - 3*j + 9, -3 - 12 = -4*k - 5*j for k. 0 Solve -h + 5*h + 4 = 0, 0 = -c + 5*h + 6 for c. 1 Solve a - 3 = 4*a + 2*p, 12 = 3*a - 3*p for a. 1 Solve 23 = 3*v + 4*n, 2*n = -4*v - 5 + 19 for v. 1 Solve -4*q - 59 + 41 = -5*u, -2*q - 2*u = 0 for q. -2 Solve -2*h + 7 = -4*l + 17, -5*l + 10 = 0 for h. -1 Solve -2*m - 23 = 15*a - 10*a, 6*a - m = -31 for a. -5 Solve -6*o - 12 = 4*t - 2*o, -4*t = o - 3 for t. 2 Solve 5*y + 21 = -o, 4*y = -3*o + y - 3 for o. 4 Solve 4*h = -5*p - 15, -2*p + 17 = -5*p - 4*h for p. 1 Solve 4*z - 3*z = 0, 2*g - 6 = -5*z for g. 3 Solve 0 = u, 0 = -5*t + 24*u - 29*u + 10 for t. 2 Solve 3*y + j = 2*y, -3*j = 4*y - 5 for y. 5 Solve -7 = 4*h + 5*z, 4*z - 1 = 3 for h. -3 Solve 5*h - 12 = 3*c, -16 = -5*c + 9*c - 2*h for c. -4 Solve 7*v = 6*v - 3*i + 6, -3*v - 3*i + 6 = 0 for v. 0 Solve 0 = -3*b + b - 3*r + 17, 5*b + 4*r = 25 for b. 1 Solve -6*p + p - 3 = -a, 4*p = 3*a + 2 for a. -2 Solve -4 = 2*w + 2*p, 12*p - 15*p = w - 2 for w. -4 Solve -f - 2*h = -0*h - 3, 3 = -2*f - h for f. -3 Solve 0 = -3*k + 3*y + 3, 0*k - 17 = 3*k + y for k. -4 Solve 5*d = 2*i - 7, -5*i - d + 5 = -7*i for i. -4 Solve 5*r = 16 + 4, 5*r = -2*i + 10 for i. -5 Solve s + 4 + 2 = 2*z, 3*z - 9 = 4*s for s. 0 Solve 3*m = -3*i + 194 - 182, -m - 3*i = -2 for m. 5 Solve -3 = 2*s + 5*j, 7*s + 3*j = 4*s - 9 for s. -4 Solve -4*s - 7 + 3 = -3*g, -2*g + 2 = -3*s for g. 4 Solve m + 5*k - k + 6 = 0, -5*m + k - 9 = 0 for m. -2 Solve -12 = s - 3*b, -s - 2 - 7 = -2*b for s. -3 Solve 3*m + 5*y = m - 10, -m + 2 = -y for m. 0 Solve 3*b + 3 = -l - 2, 4*b = -5*l - 25 for l. -5 Solve 5*t + 2*u = -0*u + 14, 20 = 2*t - 4*u for t. 4 Solve -3*c = -c + 5*p + 11, 3*p + 15 = -4*c for c. -3 Solve 5*q - 3*n + 187 = 210, q = -4*n for q. 4 Solve -2*n + 4*p = 15 - 43, -4*p = -3*n + 32 for n. 4 Solve 4*z = 5*z + 2*x + 2, 0 = -5*z - 3*x + 11 for z. 4 Solve -4*c - 2*d + 12 = 0, -5*d + 2 = -8 for c. 2 Solve -11 + 18 = -3*q + 2*l, 5 = q + 3*l for q. -1 Solve 0 = -5*a - 16*y + 13*y + 25, -5*a = -5*y + 15 for a. 2 Solve -103 = 4*j - 111, 5*j = 3*q + 16 for q. -2 Solve 5*j + 6*r = 2*r + 5, -1 = -j - r for j. 1 Solve 0 = n + 2, 2*n - 12 = 4*z - 0*n for z. -4 Solve -5*s - 6 = c - 6*s, -c - 2 = s for c. -4 Solve 21*z = t + 16*z + 20, z = 5*t + 28 for t. -5 Solve 7*u - 2*u + 3*h = 16, 5*h + 20 = u for u. 5 Solve 2*r - 3*u = -11, -3*r + 13 - 2 = u for r. 2 Solve 31*q - 35*q - 6 = 2*s, -3*q - 3*s = -3 for q. -4 Solve -3*f - 7 = -y + 13, 0 = 3*y - 15 for f. -5 Solve 0 = 5*q + 3*z + 9, -3*q - 7*z = -4*z + 3 for q. -3 Solve -u + 9 = 4*y, -3*y = 2*u - 8*y - 5 for u. 5 Solve -2*y + 3*r + 2 = 0, -4*y - y + 5 = -r for y. 1 Solve 2*g + 7 = -k, 4*k = 3*k + 2*g + 13 for k. 3 Solve -6 = -c + 46*g - 43*g, 0 = -c + 4*g + 7 for c. 3 Solve -5*a = -5*s - 20, 9*s - 11*s = -a + 8 for a. 0 Solve 4*s - 38 = -30, 5*y + 3*s - 11 = 0 for y. 1 Solve 5*m + c + 9 + 1 = 0, -2*m + 3*c - 21 = 0 for m. -3 Solve 4*o = 5*d + 2, -5*o - 6*d + 3*d = 16 for o. -2 Solve -2*n = -4*f + 6, 4*n + 11 = -5*f - 14 for f. -1 Solve 1 + 1 = -5*v - 3*p, 3*p - 4 = v for v. -1 Solve -2*c - 4*t - 8 = 0, -7*c + 2*t = -9*c - 10 for c. -6 Solve -2*j + 3*j + i + 2 = 0, 3*j - 5*i = -22 for j. -4 Solve 2*i = 2*r - 8, -3*i + r = -1 + 15 for i. -5 Solve u + 3*u + 12 = o, -o + 8 = -3*u for o. -4 Solve 5*a = 2*p - 6 + 19, 0 = 5*a - 15 for p. 1 Solve -5*i + 5*b + 1 = -24, 0 = 4*b for i. 5 Solve a = -c - 3, -13*a + 8*a = -5*c + 25 for a. -4 Solve -4*b + 2 = l - 8, -2*b + 12 = -3*l for b. 3 Solve 5*g - g = 12, 0 = 3*i - 5*g + 9 for i. 2 Solve 4*v + v - 5*h + 40 = 0, -3*v + h - 16 = 0 for v. -4 Solve -3*h = -2*h, 0 = 3*n - h - h - 6 for n. 2 Solve -4*v + 2*x - 19 = 3*x, 0 = 2*v + 2*x + 2 for v. -6 Solve 5*m + 9 = -5*s + 29, -5*m + 2 = -s for m. 1 Solve 3*k + 8*i = 13*i - 4, -3*k = 4*i - 14 for k. 2 Solve m + 4*a = -5, a - 13 = -2*m - 3*m for m. 3 Solve -2*f + 4 = 12*n - 15*n, -5*n - 10 = -4*f for n. 2 Solve -7*h + 3*h + 32 = -5*r, -3*h - r + 5 = 0 for h. 3 Solve -10 = -2*t - 4*d, 386*t - 383*t + 2*d = 11 for t. 3 Solve -s = 5*c - 27 - 3, c = 3*s - 10 for c. 5 Solve 5*t = -2*x + 29, 4*x - 3*x - 7 = -t for t. 5 Solve -4*o - q = 2*q + 26, -4*q - 8 = 0 for o. -5 Solve 3*u + 4*s = -8, -9*u = -7*u + 2*s + 2 for u. 4 Solve 3*h = 3*s - 12, 5*s + 2*h - 17 = -4 for s. 3 Solve 23*i = 21*i, 6 = -2*f - 3*i for f. -3 Solve 0 = 2*p - 2*h, p + 4*p = 2*h - 15 for p. -5 Solve -33*r = -34*r + z - 1, z = -4*r + 6 for r. 1 Solve -2*d + 5*n + 2 - 7 = 0, 2*n = -4*d + 2 for d. 0 Solve 2*v = 4*o - 5 - 17, -4*v - 35 = -5*o for v. -5 Solve 0 = -5*l - 5*g - 5 + 10, -g - 1 = 2*l for l. -2 Solve 16 = 4*l - v, -6*l + 2*v = -8*l + 8 for l. 4 Solve 0 = -4*m - f + 1, -m + 3*f - 1 = 2 for m. 0 Solve -3*a + 71*z - 12 = 69*z, -a = z + 4 for a. -4 Solve 0 = -2*f - 10, 22*a - 26*a = 3*f - 1 for a. 4 Solve 15 = -v + 5*r - 8, 12 = 3*r for v. -3 Solve -u = 3*i - 11, 2 = i + 2*u - 0*u for i. 4 Solve -2*b - 1 = j, -4*b + 2*j + 16 = -2*j for b. 1 Solve -7*r = -5*t - 8*r + 18, 4*t - 4*r - 24 = 0 for t. 4 Solve 0 = -5*z - 3*f + 34, 8*f - 12*f = z - 17 for z. 5 Solve -2*f - 15*t + 12 = -19*t, -2*f - 24 = 5*t for f. -2 Solve 2*g + 4*d + 14 = 2, -4*g + d - 6 = 0 for g. -2 Solve -z = -2*d - 217 + 209, 0 = 3*d + 12 for z. 0 Solve 16 = 2*y - 4*j, 14 = 2*y - 5*j - 7 for y. -2 Solve -l - 3*
{ "pile_set_name": "DM Mathematics" }
5. Let y = -22.1 - -22. What is the nearest to -0.1 in y, s, l? y Let o = -0.030515 - -1.030515. Let k(g) = g + 5. Let y be k(-6). Let r be (2/(-26))/(y/2). What is the closest to 1/3 in o, -3/4, r? r Let o = 5195099/799 - 6502. Let q = o - 3201/3995. Which is the nearest to 2? (a) q (b) 0 (c) 2 c Let u = -102.859 - -102.859. Let x = 6.84 + 0.16. Which is the nearest to u? (a) x (b) -1/10 (c) -0.2 (d) -4 b Let p = -58.6 - -66.6. What is the nearest to p in -2/3, 3, 0? 3 Let m = 89/28 + -15/4. Let f = 385.24 - 384.74. What is the closest to 0.2 in -2, f, 0.3, m? 0.3 Let x = -0.06744 + 5.06744. Let q(f) = f**3 + 4*f**2 + 2*f + 2. Let k be q(-4). What is the nearest to k in 0.3, -1, x? -1 Let s = 3.98 + -5.98. Let w = 34 - 33.7. Let z = 968/5 - 193. Which is the closest to z? (a) s (b) 1/4 (c) w c Let s(u) = 2*u**2 - u - 3. Let v be s(2). Suppose 0 = -r + v*r + 2. Let b = -1.07 + 6.07. What is the closest to 3 in b, r, 2/19? b Let b = -11351 + 11353. What is the nearest to -1/8 in 3/8, -50, b? 3/8 Let k = -0.2624 - -13.2624. What is the closest to -0.1 in 5, 2/7, -1, k? 2/7 Let k = 35965 + -180513/5. Let y = -138 - k. Let x = 57 - 56. Which is the nearest to y? (a) 3 (b) -5 (c) x c Let z = 0.3 - 0.5. Let p(l) = 2*l**3 + 15*l**2 + 37*l + 30. Let h be p(-10). Let q = h - -3357/4. What is the nearest to 0 in z, -5, q? z Let k = -6883/2 + 3441. What is the closest to 1/44 in k, 4, 1/4? 1/4 Let w = 0.195685 - 3.195685. Let s = 407/6 + -68. Which is the closest to s? (a) 1 (b) w (c) -1 c Suppose 1606*o = 1585*o - 42. What is the closest to 3/2 in o, -4, -4/3, 1/2? 1/2 Let l = -11 - -15. Suppose v + 1 = -3*m, l*m + 2 = -3*v - 1. Let s = -979983/7 + 139998. Which is the closest to v? (a) -1 (b) s (c) 1/4 a Let i be (-4)/8 + (27/42)/3. Let f = -0.58 + 0.7. Let n = f + 0.08. What is the nearest to -4 in i, -0.2, n? i Let d = 206 + -809. Let s = d + 602.991. What is the nearest to 0 in -0.5, 5, s, 0? 0 Suppose -7 = 5*m + 3. Suppose 4*h + 5*q = 444, -5*q - 51 = -5*h + 459. Suppose -6*u = 112 - h. What is the closest to u in 0.3, 2, m? m Let n = -34712 + 34711.97. What is the nearest to 0.02 in 4, 3/5, n, -1/15? n Suppose -19*h - 78*h - 41*h = 0. What is the closest to 0 in h, -83, -0.5, -3? h Suppose 5*h - 2*j = 17 - 91, 0 = -3*h + j - 43. Which is the closest to -3? (a) h (b) -0.5 (c) 17 b Let t = -3226 - -9677/3. What is the nearest to t in -4, -0.2, 5? -0.2 Let s = -10634.96 + 10635. Which is the nearest to -0.1? (a) 0.2 (b) -2/47 (c) -1 (d) s b Let a = -1506 + 1504. What is the closest to -1/3 in 4/5, 0.3, a, -18? 0.3 Let w be -2 + (-1)/2*-2. Let v be (-2)/(-4) + (6955/1986 - 4). Let p = 1972/6951 + v. What is the nearest to 1 in 1/9, w, p? p Let c be (3/(-175))/((-30)/1528). Let l = c - 2/125. Let f = 907 + -901. What is the nearest to f in 2/9, l, 4? 4 Let x = 190 + -188. Let d = 5.73 - 5.93. What is the nearest to x in d, 0.5, 4? 0.5 Let f = -29130/7 + 4161. What is the closest to -2 in -1/24, f, -0.2, -1? -1 Let t = -0.5 + -4.5. Let f = -45 - -46. Let q = -2811 + 2811. What is the nearest to q in f, 2/3, t? 2/3 Let n = -0.028 - 9.672. Let m = n + 9.61. Which is the closest to m? (a) -3 (b) 5 (c) -4 a Let k be 4/27*15/10. Let d be (-36)/10*(-70)/(-42) - -9. What is the closest to k in d, -1/2, 22? -1/2 Let d(m) = 1806*m - 18055. Let s be d(10). Which is the closest to 0? (a) s (b) 3.1 (c) -59 b Let f = -6 + -2. Let m be 21/(-54)*(16 - 2808/182). Which is the nearest to 0? (a) f (b) 3/4 (c) m (d) -0.3 c Let z = 264.74 + -248.74. Which is the closest to -2? (a) z (b) -0.23 (c) -0.2 b Let a = -0.01 + -0.99. Let u = -60 + 61. What is the closest to u in 0.4, 20, a? 0.4 Let g = -564.4 - -564. What is the closest to 1/7 in 2, g, 5? g Let n be ((-72)/45 - -2) + 6/((-60)/14). Let m = -9 - -17. What is the closest to n in 4/3, m, 3/5, 1? 3/5 Let p = 1643 - 1647. Which is the nearest to -1/19? (a) 0.5 (b) p (c) -0.2 (d) 6 c Let v = 5 + -8. Let g = -334/39 + 120/13. Let o = 4.7 - 5. Which is the nearest to 1? (a) g (b) v (c) o a Let j be (4 + (-948)/8)/(3/6). Let x = 1375/6 + j. Which is the nearest to -1? (a) x (b) 2 (c) -2 c Let f be (-6)/(-29)*26/(-78). What is the nearest to 0.09 in -4, 3, f, -5? f Let x be ((-48)/(-1296))/(1/6 + 0). Let c be (4/(-82))/(21 + -22). What is the closest to c in 0, 4, x? 0 Let i = 9.9 - 10. Let t be ((-2)/(-10))/((-79)/(-158)). Which is the closest to i? (a) 0.04 (b) 1 (c) t (d) 5 a Let g = -3244.9 + 3245. What is the nearest to -4 in -54, g, -1/7? -1/7 Let q = -366.98 - -366.97. What is the nearest to q in -4, 5, 2/25? 2/25 Let g = -292.3 - -249.72. Let v = g + 43. Let d = v + -1.42. What is the closest to 0 in d, 4/5, -2? 4/5 Suppose 80*x = 1666 - 1586. Which is the closest to 3? (a) 4 (b) 0.4 (c) x a Let x = 26.52 + -27.52. Let b be 8/10 + (-4)/10. What is the nearest to -5 in 0, b, x? x Let i be 5 + (-135)/25 + 14/10. Let x = -38 + 107. Let u = x + -75. Which is the closest to i? (a) u (b) 2/11 (c) -1/4 b Let v = 3.698 + -4.198. Which is the closest to -0.09? (a) v (b) 9 (c) 0.5 a Let r = 0.681 + -0.181. Which is the nearest to 0.9? (a) -0.5 (b) r (c) 6 (d) -3 b Let v = 29 + -32. Let i = -4 - v. Let t(u) = 2*u**2 + 9*u + 4. Let h be t(-4). Which is the nearest to i? (a) -1/7 (b) -4/5 (c) h b Let a be -2807*1 + 12 + -10. Let y be a/(-550) - 2/20. What is the nearest to 0 in -1, 7, 1/7, y? 1/7 Let l = 145/133 + -18/19. Let n = 422 - 420.71. Let w = -1.69 + n. Which is the closest to w? (a) l (b) 4 (c) 0 c Let x = 0.01 + -1.13. Let t = x + 0.82. Which is the nearest to -1? (a) -4 (b) 0.05 (c) t c Let q = -181 - -183. What is the nearest to 2 in -3, -0.01, q? q Let b = 40.8 - 41.8. Suppose 0 = 5*h - 7*h - 36. Let r = h - -272/15. What is the nearest to b in 1/6, r, -4? r Let z = -2.496 - 0.504. Which is the closest to z? (a) 0.3 (b) 40/7 (c) 0.1 c Let s = 1.63 + 2.37. Let m = -131 + 136. Which is the closest to -2? (a) m (b) -0.3 (c) s b Suppose 2*x = -35 + 41, 3*j - 5*x + 24 = 0. What is the nearest to 1/5 in j, 20/3, 4? j Let r be 14*(23/(-2254))/((-2)/8). Let n be (-997)/(-2 + -9 + -1). Let p = n - 83. What is the nearest to 0 in p, 0, r? 0 Suppose 3*n - 2 = 1. Suppose -3*m - 2*p = -n - 10, -m - 4*p = -17. Let f = 7777.2 - 7777. Which is the closest to m? (a) -3/4 (b) 3 (c) f c Let t be 5 + -3 + 3 + (-1 - 2). Let z = 7.14 - 0.14. Let u = -7 + z. Which is the nearest to u? (a) t (b) 0.01 (c) -0.4 b Let f = 3404 - 13615/4. Which is the closest to -12? (a) 0.14 (b) f (c) -0.1 (d) 3 c Let p = -0.08 + 0.08. Let v = 21.8 - 21.7. Which is the closest to v? (a) 2/7 (b) p (c) 4 b Let h = -134036 - -134036.2. Let t = 0.3 + -0.1. Let o = t + 0.3. Which is the nearest to 0? (a) h (b) 0.3 (c) o a Let f be 2/4 + (-22)/28. Let r be 45 + (-87548)/1935 + (-4)/(-9) - 0. What is the nearest to f in -0.05, 1/4, r, 5? -0.05 Let g(u) = u**2 - 22*u - 5. Let j be g(22). Let k be 3 - (1 + j + 4). Which is the nearest to k? (a) -2/3 (b) -0.5 (c) -1/4 c Let i = -0.929 - -0.629. Which is the nearest to -22/47? (a) i (b) 3 (c) 2/11 (d) 0.1 a Let a be (4 - (-7)/(-2))/(1/6). Suppose 0 = 8*b - a*b. What is the closest to b in 0, 1, -2? 0 Suppose -35*u = z - 39*u + 23, -3*u = 4*z - 3. Which is the closest to 2/9? (a) z (b) 36/35 (c) 5 b Let v = 1840 + -1847. Let l(w) = -2*w**3 + 10*w**2 + 11*w + 5. Let r be l(6). Which is the closest to -0.1? (a) 4 (b) v (c) r c Let d = -2545/8883 - -1/1269. What is the closest to d in -0.369, -0.2, -2? -0.369 Let v = 88.11 + -88. Let o = v - -0.39. Let j = 12/19 + -46/133. Which is the closest to 0? (a) 2/5 (b) o (c) j c Let f = -8.815 - -8.825. What is the nearest to f in 5, -0.11, 4? -0.11 Let g = -5767.4 - -5767. Which is the nearest to -2473? (a) 1 (b) -2/7 (c) g (d) 1/3 c Let l(r) = -58*r - 112. Let i be l(-2). Let g be 6 + ((-2320)/90)/i. Which is the closest to -2/37? (a) -0.5 (b) g (c) -4/5 b Let p = -25771.7 + 25771.2. Let w = 376/9 + -42. Which is the nearest to 1/2? (a) p (b) 1.1 (c) w (d) 0.5 d Let o = 19458/35 + -3886/7. Which is the closest to -17/13? (a) 0.4 (b) o (c) -0.02 c Let q be (22/7 - 3)/((-288)/(-27) - 11). What is the nearest to 0.4 in 1/19, q, 0.1, -0.3? 0.1 Suppose 8*
{ "pile_set_name": "DM Mathematics" }
rrange 3*i**3 - 2*i**3 + 6*i + 9165*i**2 - 9183*i**2 to the form q + h*i**2 + t*i + o*i**3 and give o. 1 Rearrange (-3 + 7 - 3)*(-6 + 4*v + 641 + 287 - 5*v) to b*v + g and give g. 922 Rearrange 6*q - 5*q**3 + q**2 + q**2 + 1 - 2*q**2 + q**3 to the form h*q + j + d*q**3 + x*q**2 and give d. -4 Express (2*h**2 + 1 - 1)*(3 - 5 + 0) + (2*h - 6*h + 3*h)*(9*h + h - h) in the form b*h**2 + k*h + y and give b. -13 Rearrange (832 - 787 + 1250)*(5 - 3 - 1)*(d**4 + 3*d**4 - 2*d**4) to the form z + b*d + g*d**4 + u*d**3 + w*d**2 and give b. 0 Rearrange 6030 - 3010 - 12*z**2 - 2997 to the form q*z**2 + h*z + w and give h. 0 Rearrange 2 - o - 2 + (135 + 550 - 57)*(-4*o + 4*o - 2*o) to the form r + b*o and give b. -1257 Express (-1 + 2 - 2)*(-5*z - z + 3*z) + (-4 + z + 4)*(1 + 3 - 2) + 6*z - z + 0*z + 6*z - z + z as i*z + l and give i. 16 Express -1 - 19*a + 18*a**2 + 35*a - a**3 - 2*a**2 - a**4 - 17*a in the form o*a**3 + d + l*a + p*a**2 + q*a**4 and give p. 16 Rearrange (9 - 9 - 6*a + (0 + 0 - a)*(21 - 17 + 19))*(-a**2 + 6*a**2 - 3*a**2) to the form v*a + f*a**2 + q + j*a**3 and give j. -58 Rearrange 7 - 4*i - 22*i**3 - 2*i**4 - 11 + 2 + 4*i to the form z*i**4 + n*i + b + p*i**2 + a*i**3 and give a. -22 Express u**2 + 9*u**3 + 7*u**3 - 2 - 14*u**3 + (-4*u**3 + 6*u - 6*u)*(0 + 1 + 3) - 11*u**3 + 39*u - 39*u as n*u + m*u**3 + h + s*u**2 and give m. -25 Rearrange h**2 + 4 - 4 + 38*h**2 - 44*h**2 - 53*h**2 + (-3*h**2 + 5*h**2 - h**2)*(-1 + 0 - 1) to n*h**2 + l + k*h and give n. -60 Rearrange -133*y**2 - 27415*y - 2 + 27415*y to n*y + l + r*y**2 and give l. -2 Express -3*u**2 - 2*u**2 + 3 + 79*u**4 - 71*u**4 + u - 5 in the form g*u**2 + x*u + d*u**3 + q + f*u**4 and give d. 0 Rearrange -9 + 13*u**2 + 3 - 14*u**2 - 9*u - 2*u**4 to j*u + l*u**2 + o + d*u**3 + v*u**4 and give o. -6 Rearrange 441*u + 5 - 222*u - 222*u to the form f*u + h and give h. 5 Express -35*m**4 - 31*m**4 + 63*m**4 - m**3 + 27 + 3*m**2 in the form o*m + w*m**2 + x*m**4 + i*m**3 + k and give k. 27 Rearrange (5*d**2 - 3*d**2 - d**2)*(131 + 78 + 178 + 45) to the form q*d**2 + o*d + c and give q. 432 Express 25*s**2 - 16*s - 19*s + 39*s**4 + 37*s + 1 - 23*s**2 as c*s**3 + h*s**2 + o + f*s + a*s**4 and give o. 1 Express 66*j - 2*j - 4*j + (0 - 2*j + 0)*(-3 + 4 - 2)*(3 + 1 - 6) + 11*j - 12*j - 12*j as c*j + m and give c. 43 Rearrange -231*p - 179*p + 546*p - 298*p to the form f*p + y and give f. -162 Express 20*r - 17*r - 2 + 2*r**2 + 0 - 2 - 4*r as n*r + h + b*r**2 and give n. -1 Rearrange -449*a + 23*a**2 - 15 + 16 + 453*a to u*a + y + i*a**2 and give y. 1 Rearrange (-17 + 12 + 50)*(-2*r - 5*r + 3*r) - 2 + 2 + r to x + w*r and give w. -179 Rearrange 29 - 5*j**4 + 0*j**4 + j - 2*j**2 - 10*j**3 + 3*j**4 + 11*j**3 to u*j**4 + w*j + h*j**3 + t + q*j**2 and give q. -2 Express 23 - 463*t**2 - 72 + 22 + 27 in the form k*t**2 + u*t + h and give k. -463 Rearrange 280*i**2 + 381*i**2 + 4*i - 2*i - 2*i to the form s*i**2 + m + w*i and give s. 661 Express -7*q**3 + 10*q**3 + q**2 - 1 + 4 + q - 4 as l + g*q**3 + s*q + j*q**2 and give g. 3 Rearrange (2 - 3 + 5)*(0*o**2 + 2*o**2 - o**2 + (-112 + 112 - 4*o)*(1 - 1 - 8*o)) to the form d*o + k*o**2 + f and give k. 132 Rearrange -7*i**2 + 17*i**4 + 5*i**2 - 2 - i - 14*i**4 - i**3 + 0 to c*i**3 + q*i**2 + u*i**4 + p + k*i and give q. -2 Rearrange m + 3671*m**2 + 3*m - 3594*m**2 to the form z + u*m + i*m**2 and give z. 0 Express 93 + 165*f - 48 - 45 in the form a*f + o and give a. 165 Rearrange (0 - 8 + 4)*(4*f + f + 3*f)*(-4 + 5 + 3)*(-2 + 2*f**2 + 2) to w + c*f + p*f**2 + d*f**3 and give d. -256 Rearrange -358*w + 982*w + 692*w to r*w + s and give r. 1316 Express 5*t + 9*t - 15*t - 43 + 3*t + 367 as v*t + q and give q. 324 Express -2*q + q**2 - 4*q**2 - 5*q**3 + 223 + 0*q**2 + 3*q**3 - 3*q**4 - 224 in the form s*q**3 + u*q**2 + x*q**4 + w + z*q and give x. -3 Express -3 + 3 + 34*b + 3 - 6 + 5 as q*b + w and give w. 2 Rearrange (-s**3 - 12*s + 12*s + 0*s**3 + 0*s**3 - 2*s**3 + (s - 4*s + 5*s)*(4*s**2 - 3*s**2 + s**2))*(0 + 1 + 17) to o + g*s**2 + a*s + v*s**3 and give a. 0 Rearrange (-7 - 3 + 0)*(-3 + 3 - p) + 18*p + 23 - 23 to v + j*p and give j. 28 Express -9*q - 7*q - 14*q + 4*q in the form z + s*q and give s. -26 Rearrange 136 - 136 - 16*p**2 + (-23 + 50 - 41)*(2*p**2 - p**2 - 2*p**2) to the form v*p**2 + n*p + d and give v. -2 Express 1552*o**3 + 4*o**4 - 3109*o**3 + 1555*o**3 - 2 in the form l*o + n*o**3 + z*o**2 + r + c*o**4 and give c. 4 Express -61 - 240*c**3 - 241*c**3 + 490*c**3 - 32 as m*c**2 + z + i*c**3 + d*c and give d. 0 Rearrange 2 - 3 - 5*j**2 + j**2 + 83*j**3 + 2*j**2 to r*j**2 + f + t*j + c*j**3 and give c. 83 Express (v + v + 0*v + (-2 - 1 + 1)*(5 - 2*v - 5) + 2 - 2 + 2*v + 2*v + 0*v + 0*v)*(4434 - 2624 - 2347) in the form s*v + k and give s. -5370 Express (r - 4*r + r)*(3*r**2 - r**2 - r**2) + 14*r**3 + 36*r**3 + 12*r**3 as t*r**3 + p*r**2 + a*r + u and give t. 60 Express 231*p**2 - p**3 - 413*p**2 + 240*p**2 as s + j*p**2 + m*p**3 + h*p and give j. 58 Express 3 + 39*u - 10*u**3 - 67*u + 6*u**3 + 32*u as v + h*u + b*u**3 + o*u**2 and give b. -4 Rearrange (-1 + t**2 - 201*t + 382*t - 204*t)*(3*t + 0*t - 2*t) to d*t + c + v*t**2 + z*t**3 and give c. 0 Express (2 - 2 + 1)*(-10*v - 6*v + 19*v) + v + 3*v + v + 2*v - v + 0*v + (0 + 3 - 1)*(-1 - 2*v + 1) + 1 - 2*v - 1 - 1 + 1 + 2*v in the form f + g*v and give g. 5 Rearrange 12 - 12 - 7*s + 181 + 2*s - 181 + (2*s - 2 + 2)*(0 - 3 + 5) to the form t*s + f and give t. -1 Rearrange h**4 - 1 + h**2 - 4202*h + 4203*h + 0*h**4 to the form v*h**4 + s*h + j*h**3 + g + i*h**2 and give g. -1 Express -4*c**2 - 79253 - 294*c + 79253 as t + k*c + h*c**2 and give h. -4 Rearrange -359*y + 4*y**2 + 359*y + 4 to t + b*y**2 + v*y and give b. 4 Express -13*z + 4*z**2 - 7*z**2 + 2*z**2 + (-3 + 0 + 1)*(13*z**2 - z**2 + 2*z**2) in the form c*z + f*z**2 + a and give f. -29 Rearrange -2*j**3 + j**2 + 0 + j + 7 - 13 + 3 + 7*j to the form k*j + f*j**2 + c*j**3 + h and give h. -3 Express (-2*o - 1 + 1)*(-1 - 4 - 2 + (3 - 4 + 0)*(2 - 6 + 3) + 0 - 1 + 0 + 0 - 1 + 0 + 3 + 0 - 2)*(221 + 103 + 201) as a + c*o and give a. 0 Rearrange -t + 3*t - 3*t + 0*t - 3*t + 4*t + (-3 - 4 + 5)*(5*t - 5*t + t) + (3*t - 5*t + t)*(1 + 0 + 1) + 23*t - 2*t + 4*t to w*t + x and give w. 21 Rearrange (2*h + 0*h + 0*h)*(9*h + 8*h - h) + 4 - 4 + h**2 + (h**2 - 3 + 3)*(3 + 2 - 3) + (h + 2*h**2 - h)*(-3 + 1 + 1) to the form m + d*h**2 + t*h and give d. 33 Rearrange (-2 - 23*y + 12*y + 10*y)*(-5 + 10 + 15) to the form i + f*y and give i. -40 Rearrange -6*t**2 - 168*t**4 - 164*t**4 + 2*t**2 + 322*t**4 + 2 to the form q*t**3 + s*t**2 + w*t**4 + y + d*t and give y. 2 Rearrange 113*p - 265*p - 4 + 4 to j + i*p and give i. -152 Rearrange 209*m**2 - 400*m**2 - 9 + 9 + (-3 + 3 + m)*(m - 3*m + 3*m) to the form j + g*m + z*m**2 and give z. -190 Express (-4*k**4 + 5*k**4 - 2*k**4)*(1 - 1 + 2) - 11262*k**2 - k**4 + 14*k + 11262*k**2 in the form x*k**4 + t*k**3 + g*k + h*k**2 + p and give x. -3 Rearrange (-11*w + 95*w + 23*w)*(9*w**2 - w**2 - w**2)*(3 - 3 - w) to the form u*w**4 + h + j*w**2 + n*w**3 + z*w and give j. 0 Express 4 + 11*x**3 + x**2 + 3*x**3 - 1163*x + 1163*x as m + i*x**2 + v*x + t*x**3 and give m. 4 Rearrange (0*w**4 - 3*w**4 + 5*w**4 + (2*w**2 - w**4 - 2*w**2)*(-9 - 6 + 14))*(59 + 15 + 12) to the form m*w**2 + i*w**4 + y*w + a*w**3 + p and give i. 258 Express 8*q - 8*q - 23*q**3 + (2*q + 0 + 0)*(-3*q + q + 4*q)*(-2*q + 4*q - q) - 5*q**2 + q + 5*q**2 - 4*q**3 as o*q**3 + i + w*q + g*q**2 and give w. 1 Rearrange -30*y**2 + 2*y**2 + 2824 + 27*y**2 + 0*y**2 + 0*y**2 - 2*y**2 + (2*y + 4 - 4)*(-2*y - 2*y + 6*y) to the form o*y + r*y**2 + a and give a. 2824 Rearrange (-10 + 10 - z)*(4*z - 3 + 3) - 3*z**2 - 5*z**2 - 3*z**2 to the form c + n*z + m*z**2 and give m. -15 Rearrange -29*h + 29*h + 4*h**2 + 4*h**2 + 13 to the form b + f*h**2 + q*h and give f. 8 Rearrange 8*i**3 - 1 + i**2 - 28*i**3 + 2 - 3*i + 17*i**3 to m*i**2 + b*i + o + a*i**3 and give b. -3 Express -3 + 4*u - 2*u + 0*u**2 - 2*u**3 - 4*u**2 + 2 + 2 in the form y*u + h + g*u**2 + f*u**3 and give f. -2 Express (3*n**2 - 5 + 5)*(-6*n**2 + 7*n**2 + 6*n**2) + (7 - 5*n**3 - 7)*(-3*n - 7*n + 3*n) in the form g + r*n**4 + t*n**2 + b*n**3 + h*n and give r. 56 Express 14*p**2 + 3 + p**3 + 3 - 2 - 7*p**2
{ "pile_set_name": "DM Mathematics" }
+ 359*a*b*k**2 + 39*a*b*k - 2*b wrt k? 488*a**3*b + 8*a**3 + 718*a*b Find the third derivative of -5*n*x**5 + 3*n*x**4 + 247*n*x**3 - 21*n*x**2 + n*x - 1274*x**2 wrt x. -300*n*x**2 + 72*n*x + 1482*n Find the third derivative of -6*h**2*p**6 - 1283*h**2*p**3 + 134689*h**2*p**2 wrt p. -720*h**2*p**3 - 7698*h**2 What is the third derivative of -510359*t**4 + 850*t**2 + 18? -12248616*t What is the second derivative of -736651*b*k**2 - 1077*b*k + 27*b wrt k? -1473302*b What is the third derivative of r**5 - 191064*r**3 - 4*r**2 - 12*r - 1102? 60*r**2 - 1146384 What is the derivative of 2*l**4 - 10*l**3*u - 23244*l*u + 1670877*u wrt l? 8*l**3 - 30*l**2*u - 23244*u What is the first derivative of -3402390*l**2 - 293833 wrt l? -6804780*l Find the first derivative of -11*v**2 - 14451*v + 351825 wrt v. -22*v - 14451 Find the second derivative of 2*k**5 + 5*k**4 - 1102*k**3 - 6810*k - 7. 40*k**3 + 60*k**2 - 6612*k What is the second derivative of -6075*a*q**2 + 27*a*q + 92*q**4 - 470*q wrt q? -12150*a + 1104*q**2 Find the third derivative of 31886*m**3*q**3 + m**3 - m**2*q**3 + 15*m**2*q**2 + 18*m*q**3 wrt m. 191316*q**3 + 6 What is the third derivative of 2*f**6*w**2 + 43009*f**5*w - 3*f**2*w + 29*f*w**2 + 3*f*w - 38*w**2 wrt f? 240*f**3*w**2 + 2580540*f**2*w Find the second derivative of 299908*b**2*p + 60946*b*p - 2*p wrt b. 599816*p What is the first derivative of 3549*z**2 + 12667 wrt z? 7098*z Find the third derivative of 62*s**5 - s**4 - 1265*s**3 + 20*s**2 - s - 2053. 3720*s**2 - 24*s - 7590 Find the third derivative of 8*h**5 + 16029*h**3 + 3510*h**2 + 223*h. 480*h**2 + 96174 Find the third derivative of 17820*b**5 + 10*b**3*c**2 - 2*b**3 - 21*b**2*c**2 + 1062*c**2 wrt b. 1069200*b**2 + 60*c**2 - 12 What is the derivative of 3*n*s*w - n*w - 11395*n - 3*s*w - 51*s - 86181*w + 1 wrt w? 3*n*s - n - 3*s - 86181 Find the second derivative of -12*b**3*g**3 - 625*b**2 - b*g**3 + 4*g**2 - 715*g wrt b. -72*b*g**3 - 1250 What is the derivative of -6*v**3*w - 785*v**3 + 90*v - 567*w wrt w? -6*v**3 - 567 Find the second derivative of -355510*n**2 + 6*n + 14716. -711020 What is the second derivative of d**5 - 11416*d**2 - 18483*d - 7 wrt d? 20*d**3 - 22832 What is the third derivative of 8*a**3*q**2*t - 14*a**3*q + 835*a**3*t - 19*a**2*q**2*t + 2*a**2*t - 391*a**2 + a*q**2 + 2*t wrt a? 48*q**2*t - 84*q + 5010*t Find the third derivative of -183814*n**6 - 35815*n**2 + 2*n wrt n. -22057680*n**3 Find the second derivative of -b**4 - 2*b**3 - 1342*b**2 - 17831*b + 1 wrt b. -12*b**2 - 12*b - 2684 Find the second derivative of -b*g**2*o + 965*b*g*o*q - b*o*q - b*o - 920*g**3*o*q + g**3*q - o*q wrt g. -2*b*o - 5520*g*o*q + 6*g*q What is the second derivative of -302616*r**3 - 590636*r - 2 wrt r? -1815696*r Find the third derivative of -461*k**6 + 9*k**5 - 4*k**3 - 3*k**2 + 6395 wrt k. -55320*k**3 + 540*k**2 - 24 Find the second derivative of -38*r**2*z**3 - 215863*r**2 - 7*r*z + 4392*z**4 wrt z. -228*r**2*z + 52704*z**2 Find the second derivative of m**4 - 2061468*m**2 - 147632*m + 5 wrt m. 12*m**2 - 4122936 What is the derivative of 2*u**3*v - 87*u**2*v - 1380*u*v + 1827979*v wrt u? 6*u**2*v - 174*u*v - 1380*v What is the first derivative of 2*a*n*z**2 + 2*a*z**2 - 2856*a*z - 4*n*z**2 - 2*n*z + z**2 - 138 wrt a? 2*n*z**2 + 2*z**2 - 2856*z What is the derivative of -g**2*l**2 + 300*g**2 - 21*g*l**2 - 4*l**2 + 40*l + 8 wrt l? -2*g**2*l - 42*g*l - 8*l + 40 What is the derivative of 2*o*z**2 - 2565*o*z - 3*o + 8793*z**2 wrt o? 2*z**2 - 2565*z - 3 What is the third derivative of 19122*u**3 + 5*u**2 + 33? 114732 What is the third derivative of 2*b**4 - 4193*b**3 + 42*b**2 - 1367 wrt b? 48*b - 25158 What is the third derivative of -2*t*y**4 + t*y**3 - 65*t*y**2 + 2*y**4 - 6347*y**3 + 21*y**2 + 3*y wrt y? -48*t*y + 6*t + 48*y - 38082 Find the second derivative of -50*d**5 - 2*d**4 - d**2 + 8790*d + 1 wrt d. -1000*d**3 - 24*d**2 - 2 What is the derivative of 13*b**4 + 1267*b**2 + 169659 wrt b? 52*b**3 + 2534*b Find the first derivative of -64*y**3 + y**2 + 414*y + 61590. -192*y**2 + 2*y + 414 Find the second derivative of -605*s**3 - 715*s**2 + 910797*s wrt s. -3630*s - 1430 What is the second derivative of -2*d**2*i*l*x - 3350*d**2*i*l - 86*d**2*x + 2*d*i*l*x - d*i*x + 3*d*l*x + 5*i*l*x + 3137*l wrt d? -4*i*l*x - 6700*i*l - 172*x What is the derivative of 20144*n*v**3 + 19*n*v**2 - 226*v**3 - 2*v**2 - 48*v + 5 wrt n? 20144*v**3 + 19*v**2 Find the second derivative of -231963*m**3 + 87772*m - 1. -1391778*m Find the second derivative of -158958*b**5 - 97275*b wrt b. -3179160*b**3 Find the third derivative of -457*i**4 + 937*i**3 + 256123*i**2 - 3*i. -10968*i + 5622 What is the third derivative of 159*f**3*o**2*q**3 + 9*f**3*o*q + 3*f**2*o**2*q - 29*f*q**2 + 57*o**2*q**3 wrt q? 954*f**3*o**2 + 342*o**2 What is the second derivative of 21689*a**4 - 22061*a? 260268*a**2 What is the second derivative of -68*l**5 - 133*l**3 + 40854*l wrt l? -1360*l**3 - 798*l What is the second derivative of -68*d*k**3*x + 62*d*k**2*x + 4*d*k*x - 7*d*k + 34*d*x - 3*k**3 + 5*x wrt k? -408*d*k*x + 124*d*x - 18*k What is the first derivative of 826*s*z**3 - 4*s*z**2 - 17437*s wrt z? 2478*s*z**2 - 8*s*z What is the second derivative of 1715045*f**4 + 4756117*f wrt f? 20580540*f**2 Find the second derivative of -10*u**4 + u**3 + 3195*u**2 - 21056*u. -120*u**2 + 6*u + 6390 Find the first derivative of -710092*c**3*f - 103*c**3 + 23*c - 10 wrt f. -710092*c**3 Find the third derivative of -10416*h**5 - h**4 - 3*h**3 - h**2 + h - 20427. -624960*h**2 - 24*h - 18 Find the third derivative of 68*l**4*u**3 - 65*l**3*u**3 - 3*l**3*u + l**2*u**3 - 301*l**2*u - 8*l**2 + 12*l*u**2 + 2 wrt l. 1632*l*u**3 - 390*u**3 - 18*u What is the derivative of -1530406*i + 352391? -1530406 What is the third derivative of 2*f*i**3*r**3*z**2 + 58592*f*i**3 - 5*f*i**2*z**2 + 3*f*r**3*z**2 - f*r**2*z**2 - 2*i**2*r**3*z - 102*i**2*z wrt i? 12*f*r**3*z**2 + 351552*f Find the second derivative of -6777*c**4 + c**3 - 2*c - 12309. -81324*c**2 + 6*c Find the third derivative of 22669*q**6 + q**5*z - 8423*q**2*z + q**2 wrt q. 2720280*q**3 + 60*q**2*z What is the first derivative of -273*q**3 + 180*q - 11487? -819*q**2 + 180 Differentiate 5509*l**3*q + l**3 - 6*l - 7*q**3 - 7080 wrt q. 5509*l**3 - 21*q**2 Find the third derivative of 19*n*t**3 - 2*n - 22422*t**4 - 98772*t**2 wrt t. 114*n - 538128*t Find the first derivative of -b**3 - 2*b**2 + 3*b*d**2 + 845*b - 19*d**2 - 25*d - 2 wrt b. -3*b**2 - 4*b + 3*d**2 + 845 Differentiate -8302*o**3 - 3*o + 35369 with respect to o. -24906*o**2 - 3 What is the second derivative of -182707*l**5 - 23401*l + 3 wrt l? -3654140*l**3 What is the third derivative of 67036*d**6 + 45846*d**2? 8044320*d**3 Differentiate -129556*a**2 - 58270. -259112*a What is the third derivative of -267023*j**3 + 14796*j**2 + 5? -1602138 Differentiate s**4 + 2471*s**3 + 3*s**2 + s - 224114 with respect to s. 4*s**3 + 7413*s**2 + 6*s + 1 What is the first derivative of 54359*i + 60826? 54359 Find the second derivative of -v**5 - 42*v**3 + 4*v**2 - 6*v - 10876 wrt v. -20*v**3 - 252*v + 8 Find the second derivative of 217780*b**5 + 2*b**4 - 1151672*b wrt b. 4355600*b**3 + 24*b**2 Differentiate -l*m*s - 10*l*m - 11*l*s - 12*l - 6686*m + 890*s + 2 wrt m. -l*s - 10*l - 6686 Find the third derivative of -8936*j**5 - 20*j**4 + 323775*j**2 wrt j. -536160*j**2 - 480*j Differentiate 9*q**4*t + 6*q**3*t + 443*q*t - 21856*t - 1 with respect to q. 36*q**3*t + 18*q**2*t + 443*t Find the third derivative of 51*c**4*f + 2*c**4 + 1390*c**3*f - 937*c**2*f - 161*c**2 wrt c. 1224*c*f + 48*c + 8340*f Find the second derivative of 28203*v**3 - 42556*v. 169218*v Find the third derivative of 414964*t**3 - 270173*t**2 wrt t. 2489784 What is the first derivative of 6*d*k**2 + 1797*d - 363935*k**2 wrt d? 6*k**2 + 1797 What is the third derivative of -149551*b**5 - b**4 + 2*b**2 + b + 467? -8973060*b**2 - 24*b What is the second derivative of 131403*c**3*m - 2*c**3 - c**2*m - c + 72586*m wrt c? 788418*c*m - 12*c - 2*m Differentiate -1137050*n + 3244794 wrt n. -1137050 What is the first derivative of -605187*j + 6417917 wrt j? -605187 What is the derivative of -41180*l - 154? -41180 Find the second derivative of -2*i**2*n**2 + 126*i**2 + 11*i*n**2
{ "pile_set_name": "DM Mathematics" }
30 - 25 + 9*v + 55. 9*v Collect the terms in -12*o - 15*o - 29*o. -56*o Collect the terms in r**3 - 282 + 282. r**3 Collect the terms in -2*a**3 + 332*a + 4*a**3 - 332*a. 2*a**3 Collect the terms in -h**2 + 0*h**2 + 4*h**3 - 5*h**3 - 2*h**3. -3*h**3 - h**2 Collect the terms in -4*a**2 - 4 + 2*a**2 + 38. -2*a**2 + 34 Collect the terms in -15*g**3 + 20*g**3 - 6*g**3 - 4*g**3. -5*g**3 Collect the terms in -13 - 327*u + 22 - 9. -327*u Collect the terms in 33*l + 20 - 10 + l**2 - 10. l**2 + 33*l Collect the terms in 27*f + 380*f + 142*f. 549*f Collect the terms in -h + 18*h**3 + 6*h**3 + 0*h. 24*h**3 - h Collect the terms in -17*r - 57 - r**2 + 57 + 17*r. -r**2 Collect the terms in 12*m - 19*m - m - 27*m. -35*m Collect the terms in -611*u + 2444*u - 612*u - 610*u - 614*u. -3*u Collect the terms in 30*a + 29*a - 95*a + 37*a. a Collect the terms in 450*f**2 - 226*f**2 - 238*f**2. -14*f**2 Collect the terms in -4*d + d + d + d - 3*d. -4*d Collect the terms in -80 + 34 + 2*d + 11 + 35. 2*d Collect the terms in -200 + 11*t**2 + 200 - 10*t**2. t**2 Collect the terms in -442*r**3 - 3*r**2 - 17*r**3 + 3*r**2. -459*r**3 Collect the terms in 31*o**3 - 16*o**3 - 8*o**3. 7*o**3 Collect the terms in 125*y**3 - 419*y**3 - 398*y**3. -692*y**3 Collect the terms in -6 + 34*r**3 - 8 + 14. 34*r**3 Collect the terms in 35*k**3 + 11*k**3 + 58*k**3. 104*k**3 Collect the terms in 86*i**2 + 108*i**2 - 240*i**2. -46*i**2 Collect the terms in -676*c + 1347*c - 674*c. -3*c Collect the terms in -11*n**3 + n**3 + 8*n**3. -2*n**3 Collect the terms in 10*t + 11*t - 23*t. -2*t Collect the terms in -3*u**2 - 10*u**2 - u**2 - 14*u**2. -28*u**2 Collect the terms in 133 - 133 + u**3. u**3 Collect the terms in 61*z - 25*z - 4*z - 31*z. z Collect the terms in 87*a**2 + 0 + 16*a**2 - 4. 103*a**2 - 4 Collect the terms in 7 + 9 - 16 + 2*k. 2*k Collect the terms in -359*f**3 - 381*f**3 + 738*f**3. -2*f**3 Collect the terms in 1271*n - 5*n**3 - 1271*n. -5*n**3 Collect the terms in -2*w**2 - 256*w**3 + 2*w**2. -256*w**3 Collect the terms in 51*w**2 + 32*w**2 - 80*w**2. 3*w**2 Collect the terms in 15*j + 6 - 12 + 7. 15*j + 1 Collect the terms in 6*w - 3*w + 3*w + 7*w + 4*w. 17*w Collect the terms in -181*f + 8*f**2 - 4*f**2 - 2*f**2. 2*f**2 - 181*f Collect the terms in 2*m - 3*m**2 + 5*m**2 + 2*m**2 - 12*m**2. -8*m**2 + 2*m Collect the terms in -8*f - 12*f + 2*f - 5*f. -23*f Collect the terms in -343*y**3 - 271*y**3 - 264*y**3. -878*y**3 Collect the terms in 223*m + 5*m**3 - 223*m. 5*m**3 Collect the terms in 88*s + 87*s - 30*s. 145*s Collect the terms in 274*g**3 + 288*g**3 - 561*g**3. g**3 Collect the terms in -23 - m - 713 + 20. -m - 716 Collect the terms in 167*l**2 + 1 - 1 - 170*l**2. -3*l**2 Collect the terms in -268*o**3 + 130*o**3 + 113*o**3. -25*o**3 Collect the terms in -14*q + 58*q**3 + 14*q. 58*q**3 Collect the terms in 95*j - 42*j - 57*j. -4*j Collect the terms in 7 - 71*k + 67*k + 4. -4*k + 11 Collect the terms in -7*f**3 - 6*f**3 - 8*f**3 + 24*f**3. 3*f**3 Collect the terms in -1367*c**2 - 386*c**2 + 2*c**3 + 512*c**2. 2*c**3 - 1241*c**2 Collect the terms in -6 + 4 - o**2 - 9*o**2 + 2. -10*o**2 Collect the terms in 15 + 6 - 21 - 29*v. -29*v Collect the terms in 316*a + 323*a - 640*a. -a Collect the terms in -190*p + 62*p - 208*p - 96*p. -432*p Collect the terms in 140*u**3 - 12*u**3 + 16*u**3. 144*u**3 Collect the terms in -1 - 43*p**2 + 1 + 261*p**2. 218*p**2 Collect the terms in -12 + 136*x**2 + 19 - 7. 136*x**2 Collect the terms in -26*l - 55*l + 13*l + 2*l - 2. -66*l - 2 Collect the terms in 698*n**2 - 698*n**2 + 2*n**3. 2*n**3 Collect the terms in -17*w**3 + w - w - 7*w**3. -24*w**3 Collect the terms in 2 + 4*z**3 - 2. 4*z**3 Collect the terms in 71*l**2 - 69*l**2 - 3*l**2. -l**2 Collect the terms in -32*u**2 - 26*u**2 + 56*u**2. -2*u**2 Collect the terms in -v**2 - 10*v**2 + 0*v**2 - v**2. -12*v**2 Collect the terms in -432*d**3 - 3*d + 3*d + 433*d**3. d**3 Collect the terms in -233*g**2 - 4*g + 4*g + 2*g**3. 2*g**3 - 233*g**2 Collect the terms in 3 + 6*h**3 - 15 - 5*h**3 + 12. h**3 Collect the terms in -10 + 16*a - 1 - 6 + 17. 16*a Collect the terms in -4*p**2 + 2*p + 7*p**2 - 2*p. 3*p**2 Collect the terms in -6*g + 4*g + 2*g - 348*g**3. -348*g**3 Collect the terms in -47*i - 50*i + 184*i - 48*i - 47*i. -8*i Collect the terms in 175*y - 19*y - 2*y**2 + 17*y. -2*y**2 + 173*y Collect the terms in 1331*f - 1331*f - 6*f**3 + 0*f**3. -6*f**3 Collect the terms in 28*n**3 + 8*n**3 + 13*n**3. 49*n**3 Collect the terms in -20 + 17*z + 60 - 20 - 20. 17*z Collect the terms in -10*i - 46 + 12 + 20 + 14. -10*i Collect the terms in -32*w - 39*w + 78*w. 7*w Collect the terms in 10*t**2 + 10*t**2 + t**2 - 14*t**2. 7*t**2 Collect the terms in -4*l**2 + 3*l**2 + 18355*l - 18355*l. -l**2 Collect the terms in -2*p + 7*p - 3*p - 11. 2*p - 11 Collect the terms in -100*s + 58*s + 40*s. -2*s Collect the terms in 2*a - 7665 + 7665. 2*a Collect the terms in a**2 - a**2 + 13*a**3 - 8*a**3. 5*a**3 Collect the terms in -2*u**3 - 2 + 100*u**2 - 100*u**2. -2*u**3 - 2 Collect the terms in -22 + 22 - 5*o. -5*o Collect the terms in 2 - 3671*h - 2 + 3655*h. -16*h Collect the terms in 6 - 10 + 4 - 2*v**2. -2*v**2 Collect the terms in 0*j - j - 56*j**3 + 2*j - 2*j. -56*j**3 - j Collect the terms in 53*n**3 - 1 - 56*n**3 + 3 - 2. -3*n**3 Collect the terms in -f**2 + 65*f**3 + f**2. 65*f**3 Collect the terms in -6*r + 12*r - 2*r + 2*r**2 - 4*r. 2*r**2 Collect the terms in 4 - 3 - 4 + 3 - 10*u. -10*u Collect the terms in -68713*n + 68715*n + 0 + 0. 2*n Collect the terms in 2*g - 4*g + 26 + 138. -2*g + 164 Collect the terms in -1 - l**2 + 6*l**2 + 0*l**2 - l**2. 4*l**2 - 1 Collect the terms in -17*z**2 + 74*z**2 - 56*z**2. z**2 Collect the terms in 75*t + 1 - 1 - 142*t + 69*t. 2*t Collect the terms in p + p - 3*p**3 + 2*p - 6*p. -3*p**3 - 2*p Collect the terms in -3*i**3 - 15*i**3 - 12*i**3. -30*i**3 Collect the terms in 2*z**3 - z**3 + 0*z**3 + 0*z**3. z**3 Collect the terms in 80 - 44 + 3*y - 36. 3*y Collect the terms in -12*y - 40*y - 178 + 178. -52*y Collect the terms in -5*z**2 + 2*z**2 - z + z. -3*z**2 Collect the terms in 4*m + 5 - 3 + 1 + 5. 4*m + 8 Collect the terms in -166*k + 19*k**2 + 166*k. 19*k**2 Collect the terms in -167*w**2 + 305*w**2 - 140*w**2. -2*w**2 Collect the terms in -271*y + 87*y + 88*y + 84*y. -12*y Collect the terms in -2 + 253*r + 2 - 2. 253*r - 2 Collect the terms in 779*u + 774*u + 770*u - 2322*u. u Collect the terms in 23*l**2 + 36*l**2 - 14*l**3 - 9*l**3 - 59*l**2. -23*l**3 Collect the terms in -7*m**2 + 6*m**2 + 13*m - 13*m. -m**2 Collect the terms in -2*b - 37920 + 37920. -2*b Collect the terms in 2*l**3 - 16 - 17 - 17 + 50. 2*l**3 Collect the terms in -3*z**3 - 3*z**2 - 3*z**2 + 6*z**2. -3*z**3 Collect the terms in -9*x**3 + 6*x**3 - 2*x**3. -5*x**3 Collect the terms in -39*o + 7*o + 15*o + 15*o. -2*o Collect the terms in -l**3 - 2*l**3 + l**3 + 17*l - 17*l. -2*l**3 Collect the terms in -3*n - 7*n + 7*n - 5*n - 3*n. -11*n Collect the terms in -h**2 - 41 + 41 + 0*h**2. -h**2 Collect the terms in 33*q**3 - 66*q**3 + 36*q**3. 3*q**3 Collect the terms in 0 + 0 + 12*n**2 + 0. 12*n**2 Collect the terms in -21*u + 40 + 30 - 68 + 2*u. -19*u + 2 Collect the terms in -7*l + 0*l - 12*l**3 + 7*l. -12*l**3 Collect the terms in -4*v**3 + 5*v**3 - 9*v**3. -8*v**3 Collect the terms in 526*z + 523*z - 1051*z. -2*z Collect the terms in 1 - 1 + 175*j**2 - 2. 175*j**2 - 2 Collect the terms in -142*w**3 - 147*w**3 + 43*w**3. -246*w**3 Collect the terms in -7*v - 11*v + 48*v - 12*v - 17*v. v Collect the terms in -118*j**3 + 125*j**3 + 7*j - 7*j. 7*j**3 Collect the terms in 5*i - 3*i + 0*i - 3. 2*i - 3 Collect the terms in 87*z**2 - z + z - 75*z**2. 12*z**2 Collect the terms in 37*q + 33*q - 16*q + 18*q. 72*q Collect the terms in 4*x**2 - 1 - 12*x**2 - 5. -8*x**2 - 6 Collect the terms in 8*i**2 - 17*i**2 + 14*i**2. 5*i**2 Collect the terms in -1088317 + 1088317 + v**2 + v - v. v**2 Collect the terms in 2 - 4*z - 22 + 3*z + 0*z. -z - 20 Collect the terms in 3574*t - 3574*t - 2*t**2. -2*t**2 Collect the terms in 30*o**2 + 42*o**2 - 11*o**2 - 8*o**2. 53*o**2 Collect the terms in 0*o + 0*o - 128*o**2 + 103*o**2 + 23*o**2. -2*o**2 Collect the terms in -8*b**3 + 6*b**2 + 6*b**2 - 12*b**2. -8*b**3 C
{ "pile_set_name": "DM Mathematics" }
llect the terms in -399*x**2 - 10 + 5*x - 8 + 7 + 18 - 9. -399*x**2 + 5*x - 2 Collect the terms in -78 + 69*r + 78*r - 62*r - 9. 85*r - 87 Collect the terms in 2*x + 1 - x - 1421*x**3 + 0 + x. -1421*x**3 + 2*x + 1 Collect the terms in -11 - 1576*w + 11. -1576*w Collect the terms in -17 + 8*n - 30 + 73 - 26. 8*n Collect the terms in -7*u**2 + 22*u**2 + 2210 - 2210 + 15*u**2. 30*u**2 Collect the terms in 2105*k**3 - 6322*k**3 + 17*k + 2105*k**3 + 2108*k**3. -4*k**3 + 17*k Collect the terms in 398367 - 6*t**2 - 12*t**2 - 796735 + 398368. -18*t**2 Collect the terms in -139*p**3 - 1046*p**3 - 1622*p**3. -2807*p**3 Collect the terms in 77 - 6*r**2 - 13*r**2 - 75*r + 75*r. -19*r**2 + 77 Collect the terms in 1026 + 13*b - 521 - 512. 13*b - 7 Collect the terms in -26 - 9 + 169*a**3 - 168*a**3 + 70 - 35. a**3 Collect the terms in 3*g**3 + 3*g**3 + 3*g**3 - 6*g**3 + 0*g**3. 3*g**3 Collect the terms in 10*k**3 - 4546 + 9092 - 4546. 10*k**3 Collect the terms in -84*l**2 - 16*l**2 - 17*l + 6*l. -100*l**2 - 11*l Collect the terms in -117*d**2 + 28*d**2 + 56*d**2 + 30*d**2. -3*d**2 Collect the terms in 112*s - 459*s + 109*s + 121*s + 114*s. -3*s Collect the terms in -k + 53 - 79*k + 23 - 2*k**2. -2*k**2 - 80*k + 76 Collect the terms in -2*m - 6870 + 13727 - 6857 - 48*m**2. -48*m**2 - 2*m Collect the terms in 2715*d**3 + 2609*d**3 - 5333*d**3. -9*d**3 Collect the terms in 14159 - 37*g - 4720 - 4720 - 4719. -37*g Collect the terms in -432*h - 425*h + 1719*h - 429*h - 435*h. -2*h Collect the terms in -15*q**2 - 23*q**2 - 8*q**2 + 32*q**2. -14*q**2 Collect the terms in 1383*v + 1381*v + 1378*v + 16 - 4141*v. v + 16 Collect the terms in 356*k**2 + 68*k**3 + 64*k**3 - 356*k**2 + 67*k**3 - 202*k**3. -3*k**3 Collect the terms in 407*k - 19 + 401*k - 809*k. -k - 19 Collect the terms in -974*i**3 + 3 + 8 - 1830*i**3 - i**2. -2804*i**3 - i**2 + 11 Collect the terms in -2*u**3 + 5790629898 - 5790629898. -2*u**3 Collect the terms in q - 5*q**3 - 5*q + 4*q**3 + 7*q**3 + 3*q**3. 9*q**3 - 4*q Collect the terms in 413*j**2 - 215*j**2 - 1045*j**2 - 1011*j**2. -1858*j**2 Collect the terms in 2264*j + 2240*j + 2245*j - 6813*j. -64*j Collect the terms in -403*a - 483*a + 4*a**2 - 479*a + 1365*a. 4*a**2 Collect the terms in -5 + 12363*x**2 + 5. 12363*x**2 Collect the terms in 71729*m - 143434*m + 71723*m. 18*m Collect the terms in -1336*m + 193*m - 15*m**2 + 1143*m. -15*m**2 Collect the terms in -6 - s - 20 + 55 - 9. -s + 20 Collect the terms in 7*k + 2*k**3 + 37687*k**2 + 0*k - 7*k. 2*k**3 + 37687*k**2 Collect the terms in 10*v**2 - 5*v - 452*v - 39*v**2 + 457*v. -29*v**2 Collect the terms in 1336*l**3 - 523*l**3 + 4*l - 4*l. 813*l**3 Collect the terms in -159*x**3 - 5*x**2 - 4*x**2 + 9*x**2 + 25*x**3. -134*x**3 Collect the terms in 19718*c**3 - 9856*c**3 - 9864*c**3. -2*c**3 Collect the terms in 4293*b**2 - 282 + 282. 4293*b**2 Collect the terms in -15*g + 15*g - 1710*g**2 + 17*g**2. -1693*g**2 Collect the terms in -7*q**3 - 5*q - 1061*q**3 - 11*q - 424*q**3. -1492*q**3 - 16*q Collect the terms in -4*q + 74 + 2*q + 144. -2*q + 218 Collect the terms in 1143*x + 143 - 143. 1143*x Collect the terms in -123*t**2 - 116*t**2 - 3*t + 338*t**2 - 124*t**2 + 0*t. -25*t**2 - 3*t Collect the terms in -2*w - 576 + 296 + 273. -2*w - 7 Collect the terms in -2*p**3 + 10227 - 10227. -2*p**3 Collect the terms in -15 - 18 + 33 - 36*m**2. -36*m**2 Collect the terms in -39*a + 48 - 26 - 43*a - 21 + 53*a. -29*a + 1 Collect the terms in 11*l**3 + 1127*l + 16*l**3 - 1127*l. 27*l**3 Collect the terms in -147*b - 9 + 26 - 17. -147*b Collect the terms in -155 + 4*n + 2*n - 4*n - 376. 2*n - 531 Collect the terms in 55*y**2 - 113*y**2 - 20*y**3 + 58*y**2 + 5*y**3. -15*y**3 Collect the terms in 1 - 8*a - 92*a - 70. -100*a - 69 Collect the terms in -y - 2513*y**3 + y + 748*y**3. -1765*y**3 Collect the terms in -1542*p + 14435 + 1541*p + 9*p**2 - 14435. 9*p**2 - p Collect the terms in -17*t + 23*t + 110 - 110 - 12*t. -6*t Collect the terms in -5 + 13 - 7 + 4 + 4*j - 7. 4*j - 2 Collect the terms in -3*d - 6515 - 6407 + 12922. -3*d Collect the terms in 99*u**3 + 44*u**3 - 61*u**3. 82*u**3 Collect the terms in -3*q**2 + 1869*q - 3715*q + 1846*q + 0*q**2. -3*q**2 Collect the terms in 29*q**3 - 47*q**3 + 4*q**3 + 9*q**3 + 11*q**3. 6*q**3 Collect the terms in 1617*t + 8456*t + 628*t - 1811*t. 8890*t Collect the terms in -h**3 - 19*h**3 + 6*h**3 - 2*h**3 + 4*h**3. -12*h**3 Collect the terms in -718 + k**2 + 101 + k**3 - 377. k**3 + k**2 - 994 Collect the terms in -2917 + 975 + 18*s + 972 + 970. 18*s Collect the terms in -147093*w + 73544*w + 73534*w. -15*w Collect the terms in -47 - 5 - 18 - 13 + 5*d**2 + 83. 5*d**2 Collect the terms in -8022*a**2 - 17895*a**2 + 1803*a**2. -24114*a**2 Collect the terms in 25181*x**2 + 62*x - 25187*x**2 - 62*x. -6*x**2 Collect the terms in 170*q + 247*q + 363*q. 780*q Collect the terms in -107*k**2 - 10*k**3 - 596*k + 599*k + 216*k**2 - 109*k**2. -10*k**3 + 3*k Collect the terms in -151*d + 408*d + 36*d + 154 - 154. 293*d Collect the terms in -70*x**3 + 2*x + 21*x - 18 - 12*x**3. -82*x**3 + 23*x - 18 Collect the terms in 1910739*u + 1910726*u - 3821464*u. u Collect the terms in -1559*m**2 + 183*m**2 - 838*m**2. -2214*m**2 Collect the terms in -5693*v - 245*v - 1844*v. -7782*v Collect the terms in -205*j + 529*j + 233*j + 161*j. 718*j Collect the terms in 719*l - 18*l**2 - 288*l - 431*l. -18*l**2 Collect the terms in -210 - 204 + x**2 + 418 - 92*x**3. -92*x**3 + x**2 + 4 Collect the terms in -d - 3 - d - 7*d + 4. -9*d + 1 Collect the terms in -16*q**2 - 74*q - 83*q + 4*q**2 + 170*q. -12*q**2 + 13*q Collect the terms in 17920889*g - 17920889*g + 2*g**3. 2*g**3 Collect the terms in 129959*p**3 - 64253*p**3 - 65707*p**3. -p**3 Collect the terms in 3*j - 7*j**3 + 78654973 - 3*j - 78654973. -7*j**3 Collect the terms in 131*t + 2 - 35*t + 31*t. 127*t + 2 Collect the terms in -1754*m - 1374*m - 940*m + 326*m. -3742*m Collect the terms in 45862*y**2 + 8399*y**2 + 7109*y**2. 61370*y**2 Collect the terms in -2*v + 4*v + 1777*v**3 - 603*v**3 - 13. 1174*v**3 + 2*v - 13 Collect the terms in -13*u + 416*u + 437*u. 840*u Collect the terms in 9*b + 17*b - 16223 + 16223. 26*b Collect the terms in -3*l - 6*l - 10*l - 9*l + 21*l - 11*l. -18*l Collect the terms in 2*b**2 + 6*b**2 - 812238*b + 812238*b. 8*b**2 Collect the terms in 2*h - 5*h + 829955 - 829955. -3*h Collect the terms in 37*y + 9168*y - 1261*y. 7944*y Collect the terms in 621 - 621 - 512*z**2 + 507*z**2. -5*z**2 Collect the terms in -10 + 2*f**3 + 15 - 5 - 3*f. 2*f**3 - 3*f Collect the terms in 8*i**2 - 10*i**2 + 0*i**2 - 6*i**2 - i**2. -9*i**2 Collect the terms in w + 137668948 + 2*w**2 - 137668948. 2*w**2 + w Collect the terms in -16735*n + 16735*n + 476*n**3. 476*n**3 Collect the terms in -50*u - 109*u - 84*u - 123*u. -366*u Collect the terms in -3 + 10*q**2 - 2 + 10*q**2 - 4*q**2 + 4. 16*q**2 - 1 Collect the terms in 132*c - 1 + 186*c - 528*c + 136*c. -74*c - 1 Collect the terms in -7*v + 37*v**3 + 23*v - 16*v - 214*v**3. -177*v**3 Collect the terms in 11*m**3 - 11*m**3 - 51 + 32*m**3 + 55 - 4. 32*m**3 Collect the terms in -28*r**2 + 3 - 15*r**2 + 0*r**2 + 48*r**2 - 3. 5*r**2 Collect the terms in 10808*s + 32021*s + 31988*s. 74817*s Collect the terms in 4*a**3 - 202636*a + 405263*a + 3*a**3 - 5*a**3 - 202627*a. 2*a**3 Collect the terms in 7612*i + 595 - 595. 7612*i Collect the terms in -37*g**2 - 4*g**2 - 10*g**2 + 39*g**2. -12*g**2 Collect the terms in -11*c + 0*c - 13*c**2 - 21*c + 34*c. -13*c**2 + 2*c Collect the terms in -115 - 169 + 3*s**3 + 2*s**3 - 3*s**3. 2*s**3 - 284 Collect the terms in 2*s**2 - 7*s**2 - 28149 + 28149. -5*s**2 Collect the terms in 1580*o**3 + 22*o**2 - 7*o**3 - 22*o**2 + 56*o**3. 1629*o**3 Collect the terms in 4605*d**3 + 4598*d**3 - 9208*d**3. -5*d**3 Collect the terms in 43*b + 46*b + 46*b - 206*b + 36*b + 37*b. 2*b Collect the terms in -30 - 23 - p**2 + 2*p**2 + 102 - 49. p**2 Collect the terms in -n - 41 + 6*n - 37 + 76 + 4*n. 9*n - 2 Collect the terms in 78 - b - 197*b**2 - 78. -197*b**2 - b Collect the terms in 211 - 217 + 7*p**3 - 4*p**3 - 9*p**2 + 9*p**2. 3*p**3 - 6 Collect the terms in 3461*u**2 - 1746*u**2 - 1713*u**2. 2*u**2 Collect the terms in 20838908*i**3 - 1 + 1 - 20838914*i**3. -6*i**3 Coll
{ "pile_set_name": "DM Mathematics" }
-8*f**2 - 51*f Let a(z) = 15468*z**3 + 48*z**2 + 33*z. Let c(y) = 967*y**3 + 3*y**2 + 2*y. Determine 2*a(m) - 33*c(m). -975*m**3 - 3*m**2 Let q(h) = 4210*h - 41. Let r(j) = 2103*j - 23. Calculate 4*q(s) - 7*r(s). 2119*s - 3 Let y(d) = 4*d**2 + 3*d - 2. Let i(b) = -10*b + 72. Let j be i(7). Let l(r) = -5*r**2 + 4 - 5*r - 2 - r**j + 1. Calculate -5*l(h) - 7*y(h). 2*h**2 + 4*h - 1 Let u(s) = 15*s**2 + s - 1. Let w(p) = 4334*p**2 - 15*p + 15. Give 13*u(g) + w(g). 4529*g**2 - 2*g + 2 Let h(f) = 5448*f - 1. Let w(z) = -5463*z + 1. Give 5*h(s) + 6*w(s). -5538*s + 1 Let h(r) = 2*r**2 - 2*r + 1. Let v(d) = -10*d**3 + d**2 - 12*d + 5. Determine -5*h(l) + v(l). -10*l**3 - 9*l**2 - 2*l Let r(v) = 30*v**2 - 79*v - 15. Let l(t) = -10*t**2 + 28*t + 5. Calculate 11*l(s) + 4*r(s). 10*s**2 - 8*s - 5 Let i(o) = 3*o**3 - 2099*o**2 + 8*o + 13. Let t(a) = a**3 - 700*a**2 + 3*a + 5. What is -3*i(v) + 8*t(v)? -v**3 + 697*v**2 + 1 Let p(f) = 694*f - 29143. Let u be p(42). Let q(r) be the third derivative of -r**4/6 - r**3 - r**2. Let z(x) = -x. Give u*z(t) - q(t). -t + 6 Let k = -12845 + 12850. Let u(q) be the third derivative of 0*q**4 - 1/10*q**k + 0*q**3 + 0 + 0*q + 2*q**2. Let j(m) = 17*m**2. Calculate 4*j(f) + 11*u(f). 2*f**2 Let h(t) = 2*t**3 + t - 10. Let v(j) = 521*j**3 + 15*j**2 - 3*j + 30. What is 3*h(u) + v(u)? 527*u**3 + 15*u**2 Let m(s) = -518*s**3 - s**2 + 8*s + 1. Let i(z) = -1554*z**3 - 2*z**2 + 22*z + 3. Give -4*i(r) + 11*m(r). 518*r**3 - 3*r**2 - 1 Let t be 6/(2/63*-3). Let j = -61 - t. Suppose 3*q + 4 = 1. Let x(b) = -3*b**2 - 2*b. Let l(r) = -r. Give j*l(g) + q*x(g). 3*g**2 Let z be (234/(-36) - -6)*-4. Let k(g) be the first derivative of 5/2*g**z + 2*g + 17. Let r(f) = -f**2 + 6*f + 3. Calculate 3*k(v) - 2*r(v). 2*v**2 + 3*v Let p be (-16)/(-24)*(-21)/14. Let g(m) = 2*m**3 - m**2 + 19*m - 1. Let y(t) = t**3 + t**2 + t. What is p*y(f) + g(f)? f**3 - 2*f**2 + 18*f - 1 Let v(g) = -16*g**3 + 25*g**2 - 9*g + 10. Let p(q) = -9*q**3 + 13*q**2 - 5*q + 6. Calculate -5*p(b) + 3*v(b). -3*b**3 + 10*b**2 - 2*b Let s(i) = 37*i**2 + 3*i + 25. Let o(u) = 39*u**2 + 2*u + 24. Calculate -3*o(c) + 2*s(c). -43*c**2 - 22 Let l(x) = 4*x**2 - 3*x + 1. Let p(c) = -9*c**2 + 7*c - 3. Suppose 116*i - 30*i - 1204 = 0. Let t(z) = z**2 - z + 6. Let h be t(0). Determine h*p(m) + i*l(m). 2*m**2 - 4 Let j(i) = -28*i - 98. Let x(m) = 5. Determine -j(b) + 4*x(b). 28*b + 118 Let u(y) = 15*y - 709. Let c(r) = 7*r - 326. Give 5*c(p) - 3*u(p). -10*p + 497 Let f(r) = 339*r + 36. Let p(y) = 507*y + 51. Calculate -7*f(t) + 5*p(t). 162*t + 3 Let k(y) = -7*y**2 + 7*y - 1. Let h(u) be the first derivative of 4*u**3/3 - 2*u**2 + 7528. Give -5*h(j) - 3*k(j). j**2 - j + 3 Let y(f) = 85*f - 23. Let n(q) = 43*q - 10. What is -13*n(d) + 6*y(d)? -49*d - 8 Let a(t) = 6300*t + 24. Let z(h) = -2103*h - 9. Give 3*a(p) + 8*z(p). 2076*p Let v(j) = 27*j - 3466. Let h(y) = -10*y + 1154. Calculate -8*h(z) - 3*v(z). -z + 1166 Let g(d) = -4*d**3 + 6*d. Let c(v) be the second derivative of v**5/10 - v**3/2 - 70971*v. Let i = 18 - 11. Determine i*c(p) + 3*g(p). 2*p**3 - 3*p Let u(q) = -2*q**2 - 2094*q - 30. Let t(h) = 3*h**2 + 2096*h + 40. Calculate 3*t(o) + 4*u(o). o**2 - 2088*o Let r(k) = 2*k + 11. Let z(y) = 2*y + 10. Suppose -3*q - 5*h = -5, 230*q - 231*q + 15 = -5*h. Determine q*r(x) - 6*z(x). -2*x - 5 Let b(i) = i**3 - 5*i**2 - 79*i + 5. Let h(x) = -x**3 + 2*x**2 + 39*x - 3. Give -3*b(f) - 5*h(f). 2*f**3 + 5*f**2 + 42*f Let q(p) = -p**3 - 23*p**2 + 107*p - 25. Let z be q(-27). Let x(i) = -i**2 - 2*i + 17. Let r(u) = -u**2 - 5*u + 35. Calculate z*r(a) - 5*x(a). 3*a**2 - 15 Let u = 79 + -82. Let r(f) = 2*f + 8. Let n(x) = 2*x + 1. Let y(d) = u*n(d) + r(d). Let w(v) = 3*v - 4. Give -3*w(i) - 2*y(i). -i + 2 Let n(s) = s**3 - s**2. Let i(m) = 130*m**3 - m**2 - 4. What is i(t) - 3*n(t)? 127*t**3 + 2*t**2 - 4 Suppose -3920 + 1453 - 2663 = -855*v. Let g(o) = -7. Let u(a) be the first derivative of a**3/3 - 6*a - 1. Calculate v*g(s) - 7*u(s). -7*s**2 Let w(m) be the second derivative of -m**3/6 - 302*m. Let d = -2 - -3. Let r be 2*(d - 2/4). Let n(b) = b + 2. What is r*n(j) + 2*w(j)? -j + 2 Let m(z) = -4*z - 1. Let k be ((-51)/34)/((-3)/8). Let n(x) = -5267 - 3*x + k*x + 5268. Give m(a) + 3*n(a). -a + 2 Let g(q) = q - q**2 - 2 + 2. Let o(a) = -a**3 - 4*a**2 + 6*a. Let j(n) = n**2 - 4*n - 1. Let k = -39 + 43. Let v be j(k). Determine v*o(l) + 4*g(l). l**3 - 2*l Let m(j) = -4*j**2 + 146*j + 1. Let s(l) = l**2. Give -2*m(c) - 10*s(c). -2*c**2 - 292*c - 2 Suppose -5*a = 2*b + 55, 107*a - 102*a - 4*b = -85. Let y(t) = -11*t**3 - 10*t**2 + 15. Let j(u) = 5*u**3 + 5*u**2 - 7. Give a*j(f) - 6*y(f). f**3 - 5*f**2 + 1 Let v(y) = -5*y + 16. Let l(s) = 31*s - 40. Let g(j) = -133*j + 160. Let c(z) = 4*g(z) + 18*l(z). Determine -3*c(t) - 16*v(t). 2*t - 16 Let m(j) = -j**3 + 33*j**2 - 4. Suppose 8*v - 5*v = -3*w - 3, -2*v + 5*w + 33 = 0. Let u(d) = d**3 - 33*d**2 + 3. Calculate v*u(o) + 3*m(o). o**3 - 33*o**2 Let s(y) = -388*y - 4*y**3 + 385*y + 2 + 0*y**2 - 2*y**2. Let z(v) = 5*v**3 + 3*v**2 + 2*v - 3. Suppose 12*j + 21 = 5*j. What is j*s(d) - 2*z(d)? 2*d**3 + 5*d Let s(q) = 7*q + 247. Let o(j) = -j - 33. Let d(k) = -15*o(k) - 2*s(k). Let i(w) = 3*w + 2. Give -7*d(z) + 3*i(z). 2*z - 1 Let v(o) = -4*o - 45. Let f(h) = -23*h - 260. Let g(j) = 3*f(j) - 17*v(j). Let i(k) = k + 8. Let z = 10 + 1. Calculate z*i(b) + 6*g(b). 5*b - 2 Let t(l) = 28*l - 14. Let n be t(2). Suppose n + 68 = -22*x. Let q(h) = -h**2 - 2*h + 1. Let r(v) = v**2 + 2*v - 1. What is x*q(b) - 4*r(b)? b**2 + 2*b - 1 Let h(i) = 200*i**3 + 10*i**2 + 10*i + 81. Let n(p) = -198*p**3 - 12*p**2 - 11*p - 101. Give -5*h(t) - 4*n(t). -208*t**3 - 2*t**2 - 6*t - 1 Let d(x) = 190*x - 7. Let z(v) = -379*v + 15. Determine 5*d(w) + 2*z(w). 192*w - 5 Let c(m) = -4*m - 9. Let z(d) = 9*d + 17. Let v(a) = -a**3 + 90*a**2 - 503*a - 77. Let u be v(84). Determine u*c(l) + 3*z(l). -l - 12 Let b(u) = u**3 + 4*u**2 + 1. Let o(v) = -5*v**3 - 12*v**2 + 2*v - 198. Determine -3*b(a) - o(a). 2*a**3 - 2*a + 195 Let n(t) = -22*t**3 + 12*t. Let u(y) be the first derivative of -9*y**4/4 + 5*y**2/2 + 44. Let g be ((-3)/2 + -1)/((-23)/(-46)). What is g*n(f) + 12*u(f)? 2*f**3 Let l(d) = 24*d**2. Let y(a) = 125 + 130 - 255 + 23*a**2. Calculate -6*l(s) + 7*y(s). 17*s**2 Let o(n) = 2*n**2 + 14*n - 58. Let b(w) = w**2 + 16*w - 60. Give 6*b(k) - 7*o(k). -8*k**2 - 2*k + 46 Let n(m) = -773*m**2 + 30*m - 5. Let g(j) = 1547*j**2 - 69*j + 11. Calculate 3*g(w) + 7*n(w). -770*w**2 + 3*w - 2 Let r(u) be the third derivative of u**4/8 + 7*u**3/2 + 3*u**2 - 7*u + 8. Let s(d) = 2*d + 10. What is 3*r(v) - 5*s(v)? -v + 13 Let l(y) = 20*y - 6 + 38*y - 87*y + 20*y. Let k(d) = -3*d - 2. Let c(a) = -a + 6. Let r be c(8). Let n be 2 - -7 - (3 - 1). Give n*k(g) + r*l(g). -3*g - 2 Let v(y) = -2*y**3 - 21*y**2 + 37*y + 15. Let t be v(-12). Let r(w) = 3*w**2 - 2*w + 3. Let m(f) = 3*f**2 - f + 3. Calculate t*r(u) - 4*m(u). -3*u**2 - 2*u - 3 Let s(a) = 12*a + 4. Let i(p) = -13*p - 5. Let y(j) = -2*j**3 - 17*j**2 + 23*j + 129. Let b be y(-9). Calculate b*i(l) + 4*s(l). 9*l + 1 Let g = -24392 - -24436. Let c(d) = 3*d. Let s(a) = -2*a. Let n(h) = 3*c(h) + 4*s(h). Let u(y) = 18*y. Determine g*n(f) - 2*u(f). 8*f Let l(h) = -144*h - 43. Let o(u) = -290*u - 79. Calculate 11*l(q) - 6*o(q). 156*q + 1 Let u(c) = 66*c + 27. Let z = 241 + -239. Let b(g) = -10*g + 6*g + 5*g + 4*g + z. Give 54*b(m) - 4*u(m). 6*m Let l(q) = 2*q - 7. Let x(c) = -c + 3. Let r(u) = -u**3 - 13*u**2 + 22*u + 10. Let p be r(2). Give p*l(s) - 15*x(s). 3*s - 3 Let o(x) = 27*x + 3. Let t be 24/(-2)*(12 - (-246)/(-12) - -9). Let d(m) = -9*m - 1. Determine t*o(z) - 17*d(z). -9*z - 1 Let z(h) = 4*h**2. Let w = -31 + 39. Let l = w + -2. Let g = 245 - 267. Let p(y) = y**2. Give g*p(k) + l*z(k). 2*k**2 Let m(x) = -10*x**2 - 46*x - 6. Let q(f) = -f**3 - 24*f**2 - 90*f - 13. What is 7*m(t) - 3*q(t)? 3*t**3 + 2*t**2 - 52*t - 3 Let c(o) be the third derivative of 2*o**5/15 - o**4/24 + o**3 - 2*o**2 - 24*o - 56. Let r(z) = -9*z**2 - 4 + 0*z - 3 + z. Give -6*c(m) - 5*r(m). -3*m**2 + m - 1 Let q(c) = -72*c**3 - 21*c**2 + 11*c + 74. Let f(g) = -21*g**3 - 6*g**2 + 3*g + 25. What is 7*f(a) - 2*q(a)? -3*a**3 - a + 27 Let q(t) = -525953 - 6*t**2 + 3*t**2 + 525940 - 13*t. Let g(p) = -
{ "pile_set_name": "DM Mathematics" }
. Let l(i) = 3*i**2 - 5*i + 20. Let o be l(13). Let b = o + -451. Solve 5*z - 5*v + 35 = 0, q*z + b = 2*v - v for z. -2 Suppose -5*j - 773 = -48. Let k = -133 - j. Solve -4*w - 2*n = -4*n - 4, 4*n - k = -2*w for w. 2 Let d = 3706 - 3702. Suppose 11*u = 4*l + 6*u - 8, -5*l + 10 = 3*u. Solve -5*c = d*k - 8, -4*c - l - 4 = -3*k for k. 2 Let m be (1 - 8) + 6/(36/66). Solve h - 23 = -m*y, 7*h = 3*y + 10*h - 24 for y. 5 Suppose 616*n + 112 = 644*n. Solve 4*q + n*k = -12, 7*k = 11*k + 8 for q. -1 Let l = -43 + 49. Suppose l*f + f = 0. Suppose f*m + 7*m = 28. Solve -m*s + 29 = 3*k, 11 = 3*s + s - 3*k for s. 5 Let i be 2 - 3/2 - 226/(-4). Let n = -43 + i. Suppose 4*j - 2*s - n = 0, 0 = -0*j + 5*j - 5*s - 15. Solve 2*x = 2*o - x + 5, 0 = j*o - 5*x + 11 for o. -4 Suppose u - 4*f = -27 + 23, 0 = u + 5*f - 14. Solve 3*c + 14 = -a, -4*a = -6*a - u for c. -4 Suppose -r - 3 = 2*p - 4, -4*r + 28 = -4*p. Let b be (24/21)/((198/(-330))/(42/(-20))). Solve -r*x - 3*a - 15 = 0, -3*x - 5*a - 5 = b for x. -3 Suppose -293*p + 72 = -275*p. Solve -2*s + p*f - 26 = 0, 4*s + 49*f + 2 = 47*f for s. -3 Suppose 2*k + 26 = 10. Let s(n) = -9*n - 22. Let o be s(k). Let i be o/(-6)*(-27)/15. Solve m + i = -3*u - u, 2*m - 14 = 3*u for u. -4 Suppose -2*l = -t - 30, -l - 95*t + 89*t + 15 = 0. Solve 3*x + 26 - 16 = 2*r, 3*r - 3*x - l = 0 for r. 5 Let t be 8/32 - (-9)/12. Let x be t*7 - (-88)/(-22). Let a(n) = -2*n + 24. Let r be a(12). Solve z - 5*l + 18 = r, -x*l + 7*l = 16 for z. 2 Suppose 3*j = -4*h + 33, -103*j + 104*j = -h + 10. Solve h*v - f = -10, -55*f + 54*f = 5*v + 22 for v. -4 Let a = -207 + 209. Suppose -a*t + 16 = 2*x - 46, 5*x - 50 = -2*t. Solve 5*q = 5*v + t, 0 = -v - 4*q + 6*q - 11 for v. -3 Let a(m) = -18*m**2 - 6*m + 14. Let h be a(-6). Let u be 2/6 + h/(-69). Suppose -u*y + 1 = -26. Solve -8 = -4*l, -p - y*l - 2 = -9 for p. 1 Suppose 3*n + n - 3*r - 14 = 0, 5*r = 2*n. Let q(x) = x**3 - 3*x**3 - 3*x**3 + 4 + 6*x**3 - x. Let p be q(0). Solve -f = -n*i + 2, -4*f = 2*i - 6*f - p for i. 0 Suppose -2*v = -75 + 17. Suppose v*p - 12 = 23*p. Suppose 0 = 5*w - 2*n - 3*n - 5, -3*n = 3*w + 3. Solve -p*i = -w*i + 3*r + 16, 5*i + 15 = 5*r for i. -5 Let v(y) = -y + 10. Suppose -18*c - 8 = -17*c. Let k be v(c). Let i be (-14)/49 - k/(-14). Solve 4*x = 3*l + 2 - i, -l = -4*x + 3 for x. 1 Let c be (-6*1/4)/(3/36). Let f be (-68)/c + (-44)/(-36) + -1. Suppose l - 12 = 3*s, -f*l - 3*s = 8 + 4. Solve -2*m = -7*u + 3*u + 10, m + u - 1 = l for m. -1 Suppose 3*t = -2*j - 2*t - 104, -277 = 5*j + 4*t. Suppose 0 = 2*o, -3*o - o + 114 = -2*r. Let a = j - r. Solve -2*q = -y - 2*y + 12, q + y - 4 = a for q. 0 Let x(d) = 5*d**2 + 248*d + 156. Let c be x(-49). Solve -4*q - 1 = 4*o + 7, -3*q - c = 4*o for o. -3 Let b(m) = -m**2 - m + 70. Let d be (-9 + -3)/(21/14). Let w be b(d). Solve 0 = 5*k - 5*c + 20, -2*c + w + 3 = -5*k for k. -3 Let l be 14/4 + -1 - (27/6 + -4). Let w be (-48)/(-20) - (-4)/(-10). Suppose -2*c + 15 = 3*c. Solve l*m + m + 5*n = 23, 5*m - w*n = -c for m. 1 Suppose 0 = 15*w + 90*w - 2468 - 367. Let t = 5 + 2. Suppose -2*m = 2*m - 3*u - 1, -t = -3*m + u. Solve 0*s - m*s + w = -5*b, s + 9 = -4*b for b. -3 Let h be 1 + -5 - (22 + 22). Let l = 48 + h. Suppose 5*j = -x + 9, l = j - 0*x - x + 3. Solve -r - 7 = 5*z - 3*z, r = 2*z + j for r. -3 Suppose -99*h + 64*h + 210 = 0. Let c = 38 - 21. Suppose -r - 3*t = -8*t - c, -5*r - 2*t = -4. Solve 5*y = 15, r*y - h = b - 0*y for b. 0 Let v be (-4)/1*6/(-12). Let c be ((-112)/24)/(v - (-60)/(-27)). Solve 13 = -l - 3*p, 3*l + c = l - 5*p for l. 2 Suppose 12 = -7*o + a + 84, 40 = 5*o - 3*a. Let s be 6/(-8) + 6/8. Solve -2*r = l + o, s = -0*r + 2*r + 2*l + 12 for r. -5 Let j(s) = -s**3 - 19*s**2 - 76*s - 420. Let f be j(-16). Solve -3*t + 2*r - 12 = 0, f - 25 = 3*t + 3*r for t. -2 Suppose -3*b + 235 = 19. Suppose 9*h = 6*h - b. Let k = h - -43. Solve 5*c + 23 = 4*q + 2, q - 4*c = k for q. -1 Let g(m) = m**3 + 16*m**2 - 93*m + 56. Let t be g(4). Solve -l = t*q - 17, 20*q - 4*l = 16*q + 32 for q. 5 Let s = -75 + 86. Suppose 2*b - 3 = -s. Let l be (b + 2 - 9/(-4))*4. Solve -4 = 4*h - 2*g + 4*g, -4*g - l = h for h. -1 Let z(r) = -2*r - 9. Let u be z(8). Let q be (-10)/u + 12/(-5). Let p be (-42)/q + (-3)/1. Solve -2*v + 2*d = -0*v + p, 0 = -3*v - 2*d - 2 for v. -4 Let q = -4682 + 4689. Solve 3*m - q = -4*z, -z = -3*m + 15 - 13 for m. 1 Let n(m) = m**2 - 5*m + 1. Suppose 4*u - 35 = -3*u. Let o be n(u). Let l be (18/(-24) - o/4) + 4. Solve l*t + 27 = -5*r, 3*t - 5*r = t + 7 for t. -4 Suppose 20*p = -136 - 84. Let t = 11 + p. Solve -2*c - u + 12 = t, -2*c - 11 - 1 = -5*u for c. 4 Suppose 150 - 114 = 2*q. Suppose q - 50 = -8*y. Solve -2 = -y*w + 3*t, 2*w - 3 - 5 = -2*t for w. 2 Let l be (-21)/(42/4)*(-4 - -3). Solve t + 3*k = -l, -5*t + 5*k = 10*k + 10 for t. -2 Let a(l) = 2*l**2 + 25*l + 50. Let m be a(-10). Solve 4*r + 4*h - 8 = m, 0 = 5*r + h + 15 - 13 for r. -1 Suppose -k - 4*x = 413, 4*k + 4*x + 1985 = -k. Let n = k - -397. Solve f = 2*f + n*m + 17, -4*f + 3*m = 11 for f. -5 Let x = 94 + -74. Let f be (-2 - 3/(-6))*x/(-6). Solve 0 = -5*h + 3*b - 15, h - 25 = -4*h - f*b for h. 0 Let h(s) = 2*s**3 + 94*s**2 + 345*s + 47. Let n be h(-43). Solve 4*z = 3*i - 13, 7 + 8 = i - n*z for i. -1 Let s = 19 - 12. Let f be (2/s)/((-10)/(-70)). Solve -c = w + 4, w = -0*w + c + f for w. -1 Let k be (-585)/(-130) - (-6)/(-12). Solve k*d = 3*g - 5, -13*d = -14*d + g - 2 for d. 1 Suppose 0 = -6*b + 3*c + 12, -5*c + 341 - 347 = -3*b. Solve b*z = 4*x, 0 = -4*x + 9*x + 5*z + 30 for x. -2 Let o(x) = -x**3 - 83*x**2 + 951*x + 1956. Let j be o(-93). Let k(r) = -r**2 + 5*r - 3. Let u be k(3). Solve -2*t + 30 = -4*v, -t - u*t + j*v + 35 = 0 for t. 5 Let n(f) = f**3 - 12*f**2 - 46*f + 24. Let w be n(15). Solve 6*c + 2*p = w*c - 6, -c + p + 1 = 0 for c. 4 Let p(l) = 0 + 5 + 11 + l. Suppose -v + 26 = 42. Let w be p(v). Solve -2*f + 2 = -w*f + 2*d, 5*f = -2*d + 2 for f. 0 Suppose -1885*o + 660 + 5878 = 883. Suppose -11 - 47 = -w. Let s be (-2)/7 - w/(-7). Solve 0 = 3*b - 4*b - 2*d - s, 6 = o*b - 4*d for b. -2 Let g(u) = -4*u**2 + 29 - 7 + 7 + 91*u. Let j be g(23). Solve 0 = 3*w - j, 2*x - 5 = -4*w + 7 for x. 2 Let q be (-2)/5 + (-5338)/(-170). Solve q = 4*r - 3*a, 5*r + 9 = 2*a + 39 for r. 4 Suppose 6*d = 10*d + 60. Let y be (-3)/1 - d/9*3. Suppose -2*o = -5*z + 3*z + 14, 3*z = 5*o + 25. Solve -2*c - t + 5 = 0, -6 + 19 = -y*c + z*t for c. 1 Suppose 4*o - 5*o = -15. Let k(y) = -5*y + 50. Suppose -11*s - 11*s + 198 = 0. Let x be k(s). Solve -5*m = r + x - o, 0 = 2*r - 10 for m. 1 Let z = 16 + -16. Suppose 5*i = -z*i. Let t = 71 - 66. Solve i*h + k - 4 = h, -4*h + t*k = 20 for h. 0 Suppose -50*l - 1294 = -1494. Solve -16*s = -4*h - 15*s - 21, -3*h + l*s = 19 for h. -5 Let w(g) = -7*g**2 + g**3 - 7*g + 17*g - 4 - 5. Let s be w(6). Let t be 297/s + 6/30. Solve 7*u - 2*u - t = 0, 2*u = -4*r + 4 for r. -1 Suppose 15 = 3*h + 3*i, h - i + 20 = 5*h. Suppose 1 = -3*q + 2*v, -44*v + 45*v - 17 = -4*q. Solve 3*o = 3*j - 0*j + q, 30 = 2*o + h*j for o. 5 Suppose -2*x + 2*o + 2 = 0, 0 = 4*x - x + o + 1. Let k(r) = 79*r - 707. Let a be k(9). Solve x = -5*h + a*d - 28, 3*d - 4*d + 18 = -4*h for h. -4 Suppose 7*x = 19 + 2. Let p be (0 - 2) + (x + 6 - 3). Solve -5*m + 1 = -3*a - 21, 22 = -p*a + 3*m for a. -4 Suppose 9 = -2*l + l + 5*c, -c - 3 = 0. Let a be (l/28)/(3/(-14)). Let n = 401 - 389. Solve f - a*y + n = 0, 7 = f + 2*y - 5 for f. 4 Suppose -206 - 75 = -54*d - 11. Solve 5*w - 2*h + 16 = 0, 3*h + 7 = -d*w + 2*h for w. -2 Let j(m) = 3*m**2 - 18*m + 4. Let z be j(7). Suppose 0 = 4*v - z + 17. Let a be (-1 - -1)*(-2)/(-4). Solve -2*b + 0*b = v, -s - 2*b = a for s. 2 Let o be (-2)/8 - (-1085)/(-124). Let y be 30/(-135) + (-47)/o. Solve -c + 0*p + 10 = 4*p, -12 = -c - y*p for c. 2 Let c = -4113 - -4118. Solve -4*z = -r + c, -4*z = 2*r - 5*r + 7 for z. -1 Let i = -99 + 99. Let k be 1/(-3) + 98/6 + i. Suppose 18 = j + k. Solve -j - 1 = o - 4*r, 0 = -o + 2*r - 3 for o. -3 Suppose -5*b - 6*q + 11*q = -1180, 0 = 3*b + 3*q - 714. Let n = b + -233. Let s = -7 - -37. Solve -s = 4*j - 2*x, j + n*x = 23 - 8 for j. -5 Suppose -f + r = -27, f - 39 = -18*r + 23*r. Suppose -23*n = -31*n + f. Solve 0 = 4*i - 4*m - 24, -2*i + n*i + 5*m + 12 = 0 for i. 3 Suppose -o + p = -2, o - 4*p + 8 = 7. Suppose 3*d - 4*v
{ "pile_set_name": "DM Mathematics" }
se -3*y - 2*y = 5*g, 0 = 5*g + y + 16. Let u be g/5*(9 - 4). Let z(j) = 2*j**2 - j + 1. Is z(u) composite? False Let j(l) = 12*l**2 - 1. Suppose 0 = 2*a + 2*a. Let v = 1 - a. Is j(v) a composite number? False Is 105 + 6 - (-1 - 1) a prime number? True Suppose 5*i + 3 + 7 = 0. Let f(q) = 94*q**2 + q - 1. Is f(i) composite? False Suppose 0 = -2*i + 2*d + 1730, 7*i - d = 2*i + 4313. Let j = i + -574. Suppose -4*s + j - 116 = 0. Is s composite? False Suppose -5*f + 2*p = -33, 3*p = f - p - 21. Suppose -f*a - 3*x - 841 = 68, -9 = 3*x. Is a/((-2)/1) + -1 a composite number? False Suppose 3*f - 21 = t + 4*t, 0 = 3*f - 2*t - 12. Is 4/(-12)*(f - 71) prime? True Let r(m) = -58*m**3 - 3*m**2 + 4*m. Is r(-3) composite? True Let l = 3 + -2. Let r be 14*-1 + (3 - l). Is (-282)/(-8) + 3/r a composite number? True Let k(a) = 3*a**3 + 23*a**2 - 18*a - 26. Let t(n) = n**3 + 8*n**2 - 6*n - 9. Let c(u) = -4*k(u) + 11*t(u). Let b be c(-5). Let p = b - -19. Is p composite? False Let w(k) = -k**3 - 3*k + 31. Is w(0) prime? True Let g(c) = c**2 + 0 + c - 1 + 36*c**3 + 0*c**2. Is g(1) composite? False Suppose 0 = -3*w - 92 - 106. Let a be w/(-10) + (-2)/(-5). Suppose -2*p + a = -7. Is p a composite number? False Let u = -4 + 9. Suppose -h = -u*h + 1484. Is h a prime number? False Let i = -14 - -8. Is i/9*315/(-10) a prime number? False Let q be (-418)/(-4) - 6/12. Suppose 0 = 4*a - 0*a - q. Let g = a + -15. Is g composite? False Suppose 2*g + 138 = -5*s, 114 = -3*s - 2*s + 4*g. Is -1 - (s + 6/3) a composite number? False Suppose -5*w + 873 = -617. Is w prime? False Let i(t) = 2*t - 1. Let r = 6 + -4. Let n be i(r). Suppose -n*g = -5*q + 250, 2*q + 2*g - 89 = g. Is q a composite number? False Let j = 469 + -216. Is j composite? True Suppose -3*s + s = 2*k - 1366, 3*k - 2049 = 2*s. Is k prime? True Suppose -5*w + 184 = -w. Is w composite? True Let z be (-1)/(-6) - 5/(-6). Suppose 6 = -g - 2*g. Is (8 - z)*(g - -3) a composite number? False Suppose 88 + 3810 = 2*d. Is d prime? True Let s = -375 - -255. Let p = -69 - s. Is p a composite number? True Let f be 3/1 + (8 - 11). Suppose -16 + 155 = 3*v - q, f = -2*q - 2. Is v a prime number? False Let g(a) = -a**2 + 6*a - 4. Let w be g(4). Suppose w*x - 112 + 28 = 0. Is x a prime number? False Let l(w) = 7*w + 6. Let n(j) = -4 - j + 3 - 1 + 3. Let h(i) = l(i) + 3*n(i). Is h(7) a composite number? False Let f(h) = h**3 + 6*h**2 + 3*h - 6. Suppose -3*v - d - 21 = -4*d, 29 = -5*v + 2*d. Let m be f(v). Suppose m*n - 39 - 325 = 0. Is n composite? True Is (191/(1/1))/1 composite? False Let v(t) = -4*t**3 + 4*t - 2. Let y(m) = -m**3 - m + 1. Let n(i) = -v(i) - 3*y(i). Let p(d) = -d + 7. Let r be p(5). Is n(r) a prime number? True Suppose 1173 = -x + 4*x. Is x a prime number? False Suppose 4*t + 318 = 2*q, -3*t - 75 - 242 = -2*q. Is q prime? True Is (-1792)/(-6) + (-6)/(-18) composite? True Let p(a) = 2*a**3 - 6*a**2 - 2*a + 1. Let w(z) = z**3 - z**2 + z + 1. Let u(j) = -p(j) + w(j). Is u(5) prime? False Let n(w) = 9*w**2 - 10*w - 5. Is n(-6) prime? True Let d = -17 + 10. Let l(f) = -f + 1. Let s(m) = -6*m + 9. Let b(n) = -4*l(n) + s(n). Is b(d) a composite number? False Suppose 4*v - 38 = 2*f, 3*v - 5*f + 16 = 55. Let b(m) = 2*m + 15. Is b(v) a prime number? True Let p(b) = 19*b**2 + 4*b - 5. Let g = -1 + 3. Is p(g) a composite number? False Suppose -6 = -2*r - 0*r. Let c = r + -3. Suppose c = 5*l - 33 - 22. Is l prime? True Let x(k) = -8*k - 4. Let o be x(-3). Let i = -9 + o. Is i a composite number? False Suppose -2*r - 87 = -589. Is r composite? False Let q be 20 + -17 + -1 + 0. Let g(r) = -1 + 10*r - 4 + 4. Is g(q) prime? True Suppose y - 915 = -3*c, 2*c + 1525 = 7*c + 5*y. Let t = c - 94. Is t a composite number? False Is (-13233)/(-12) - ((-10)/8 + 1) composite? False Let d = -166 - -286. Suppose -d = -3*n + 39. Is n composite? False Let r(d) = 3*d - 3. Let s be r(2). Suppose g - s = -0*g. Is (1/1)/(g/267) a composite number? False Is 6/(-4)*(-5270)/51 a prime number? False Is 2 - (1 - -2) - -224 composite? False Let a be 2/(-7) + (-16460)/(-35). Suppose 0 = -j + b + 52 + 183, -2*j = b - a. Is j a prime number? False Suppose g + 789 + 512 = 2*i, 0 = -i + 3*g + 658. Is i a composite number? True Let v(g) = 3*g - 4. Let a be v(6). Suppose -4*i + 2*k - 66 = 0, -4*i - 3*k = 37 + a. Let f = 22 + i. Is f a prime number? True Let a = -64 + 90. Suppose -m - a = -0*m. Let b = m + 79. Is b prime? True Suppose 4*a + a - 605 = 0. Is a a prime number? False Let f = 0 + 2. Suppose -r - 3 = 0, -2*y + f*r + 8 = -0*y. Let m = y + 14. Is m prime? False Suppose 6 = 2*w - 5*f, 2*w + 2*w = -3*f + 12. Suppose -w*g - 8 = -n - 0*g, 5*n - 3*g - 16 = 0. Let q = n - -91. Is q a prime number? False Let z be (-1 - -2) + (0 - -1). Let q(o) = 33*o**2 - 3*o + 1. Is q(z) composite? False Let i(b) = -b**3 + b + 1. Let s be i(0). Let j be (-4)/(8/(-6))*s. Suppose x + j*p = 6*x - 12, -4*p + 4 = 0. Is x a composite number? False Let j = -45 + 76. Suppose 45 = -2*i + 9. Let r = i + j. Is r composite? False Suppose 2*v + v + o - 14 = 0, 4*o - 23 = -v. Suppose -9 = v*r, -4*h - 4 + 11 = 3*r. Is (0 - 2)*(-38)/h prime? True Let j = -3303 - -5610. Is j composite? True Let n(x) = 3*x - 4. Let l be n(3). Let q(r) = r**3 + 9*r**2 + 7*r - 8. Let c be q(-8). Suppose 0 = -j - l*v + 74, c = -3*j + 4*j - v - 68. Is j a prime number? False Suppose 3*t = 7*t - 12. Let x be 6/t - -27 - 1. Let f = x - -91. Is f a composite number? True Is 170/8 - 3/12 composite? True Let t = -84 - -275. Is t composite? False Let p(m) = 55*m + 3. Is p(4) a prime number? True Let p(o) = -o**3 - 3*o**2 - 2*o + 2. Suppose -21 = 3*z + 3*x, -4*z + x = -2*x - 7. Let i be p(z). Is (i - 2) + 17 + 2 prime? True Let u = 271 + 1963. Is u a prime number? False Let i(s) = s**2 - 7*s - 13. Let w be i(9). Suppose -85 = -w*v - 3*q + 287, 132 = 2*v - 3*q. Suppose y + y + b = v, -66 = -2*y - 4*b. Is y prime? True Let a be 7/(-21) + (-1952)/(-6). Let v = a - 130. Suppose -2*s - s + v = 0. Is s a composite number? True Let l(j) = -129*j - 3. Let m be l(-4). Let h = 441 + -739. Let x = h + m. Is x composite? True Suppose 3*y - 2976 = -3*q, 3*y = -q + 705 + 281. Is q a composite number? True Suppose -4*z = -3*d + 16, 2*z + 0*z - 18 = -5*d. Suppose 0 = -5*w + w + d*y + 28, 0 = 2*w - 4*y - 8. Is w composite? True Is -1 - (3 - 666/2) prime? False Suppose 5*b + 2*o - 34 = -89, 4*o + 55 = -5*b. Let z(h) = -29*h. Is z(b) composite? True Is 13/(-78) + 13711/6 a prime number? False Let c be 278/8 + 3/12. Suppose 5*m - c - 120 = 0. Is m prime? True Suppose -3*f = -1 - 5. Suppose -204 = -i + x, -f*x + 823 = 4*i + x. Is i composite? True Let n(s) be the third derivative of -s**4/24 + 5*s**3/3 + s**2. Let q be n(7). Suppose -8 = q*l - 173. Is l a prime number? False Let g(x) = -x**2 + 9*x - 9. Let i be g(5). Is 2/i - 19005/(-77) composite? True Suppose 5*x + 121 + 47 = 3*z, 38 = -x + 5*z. Let f = 23 + x. Let d = 3 - f. Is d a prime number? True Suppose 0 = -8*v + 3*v - 5. Let y = v + -17. Is (1 - y/4)*10 composite? True Suppose 2*y = 3*y. Suppose 5*u + 3*c - 179 = y, -c - 40 = -2*u + 36. Is u composite? False Let d = -108 + 427. Is d a prime number? False Let b(t) = -3 + 3*t**3 + 3*t - 2*t - 2*t**2 - 2*t**3. Let s be b(3). Is 42/s*(-78)/(-4) composite? True Let o = 272 + -61. Is o a composite number? False Suppose a + 0 + 18 = 0. Let g = 9 - a. Suppose 5*u + o - g = 0, -5*u - 4*o = -2*u - 6. Is u a prime number? False Suppose 2*d = 4*d + 54. Let p = d + 58. Is p a prime number? True Let l be (-2 - (-2 - 1))*1. Suppose -4*p + 3*p = -l. Suppose 93 = 2*m - p. Is m a prime number? True Let k = -48 - -69. Is k prime? False Let f(k) = -k**3 - 3 + 5*k + 0*k**2 - 4*k**2 - 9*k. Let z be f(-3). Is 21/(3 + z) + 0 a composite number? False Let j = 68 - 41. Let w = 38 - j. Is w a composite number? False Suppose 2*d = 5*t + 339, d + 208 = -3*t - 2. Let w = t - -120. Let s = w - -4. Is s a prime number? False Suppose o = -3*r + 2809, -2*r + 6*o = o - 1850. Suppose -5*y + 4*g = -r, 2*g - 970 = -5*y - g. Is y a composite number? False Let f(i) = -3*i**3 + i**2 + 5*i + 20. Is f(-9) a composite number? False Let x = 14 + -15. Let a(n) = -294*n + 1. Is a(x) a composite number? True Let v = 18 + -15. Is ((-393)/1)/(v/(-2)) prime? False Suppose k - 91
{ "pile_set_name": "DM Mathematics" }
2752551, 4128816? 5505081 What comes next: -110620, -442337, -995162, -1769101, -2764160? -3980345 What is the next term in 389755, 779566, 1169373, 1559176, 1948975, 2338770? 2728561 What comes next: -2924957, -5849973, -8774989, -11700005? -14625021 What is the next term in 1105458, 2210751, 3316046, 4421343, 5526642, 6631943? 7737246 What is next in 3822120, 3822142, 3822190, 3822276, 3822412, 3822610? 3822882 What is next in 26066516, 52133030, 78199544? 104266058 What is the next term in -87, -84, 61, 420, 1065, 2068, 3501? 5436 What is next in -336209, -672409, -1008601, -1344785, -1680961, -2017129? -2353289 What is next in -4527081, -4527089, -4527111, -4527153, -4527221, -4527321? -4527459 What is next in -656, -621, -580, -551, -552, -601, -716, -915? -1216 What is next in 161291, 645110, 1451477, 2580392, 4031855, 5805866? 7902425 What comes next: 16874, 16111, 15262, 14285, 13138? 11779 What comes next: 439, 1194, 2325, 3832, 5715? 7974 What is next in 296551286, 296551288, 296551290, 296551292, 296551294, 296551296? 296551298 What is next in 156117698, 624470824, 1405059376, 2497883360, 3902942782? 5620237648 What comes next: 7093, 12297, 13719, 9469, -2343, -23607, -56213, -102051? -163011 What comes next: 124760, 499033, 1122832, 1996163, 3119032, 4491445, 6113408, 7984927? 10106008 What is the next term in -2625, -6889, -12789, -20325, -29497? -40305 What is next in 197215, 197197, 197179, 197161? 197143 What is next in -2099984, -2099982, -2099980, -2099978, -2099976, -2099974? -2099972 What comes next: 1577900, 6311585, 14201066, 25246343, 39447416? 56804285 What is the next term in 2829243, 5658460, 8487677, 11316894, 14146111? 16975328 What comes next: 1657, -482, -6281, -17570, -36179, -63938, -102677? -154226 What comes next: 5426, -3751, -19046, -40459, -67990, -101639, -141406? -187291 What is next in 993213, 991092, 987557, 982608, 976245, 968468, 959277? 948672 What is the next term in 39603, 79131, 118659, 158187? 197715 What comes next: 993, 595, 65, -603, -1415? -2377 What is the next term in 27778, 51442, 75106, 98770, 122434, 146098? 169762 What comes next: 49130681, 98261361, 147392041, 196522721, 245653401, 294784081? 343914761 What is the next term in 423, 4133, 14407, 34593, 68039, 118093, 188103, 281417? 401383 What is next in -561410, -2245722, -5052922, -8983010, -14035986? -20211850 What is next in 893267, 3573068, 8039401, 14292266, 22331663, 32157592, 43770053? 57169046 What comes next: 271, 2340, 7959, 18904, 36951, 63876? 101455 What is the next term in -60202748, -60202736, -60202724? -60202712 What is the next term in -577196, -1154379, -1731562, -2308745, -2885928, -3463111? -4040294 What is the next term in 3790, 7368, 10944, 14518, 18090, 21660? 25228 What comes next: 7701, 15214, 22539, 29676, 36625? 43386 What comes next: -444, 428, 2126, 4854, 8816, 14216? 21258 What is the next term in -348664, -348646, -348628, -348610? -348592 What is the next term in -2548826, -5097654, -7646472, -10195280, -12744078, -15292866, -17841644? -20390412 What is the next term in 334, 1730, 4250, 7894, 12662, 18554, 25570? 33710 What is next in -63349, -53619, -43889, -34159, -24429? -14699 What is the next term in -1728, -3317, -4922, -6537, -8156, -9773, -11382, -12977? -14552 What is the next term in -1969036, -7876097, -17721198, -31504339? -49225520 What comes next: 192824, 192731, 192638? 192545 What is the next term in -7101497, -7101499, -7101501, -7101503, -7101505, -7101507? -7101509 What comes next: -1846, -1709, -1360, -697, 382, 1979? 4196 What is the next term in 8003153, 8003136, 8003119, 8003102? 8003085 What is the next term in -1083409155, -1083409153, -1083409151, -1083409149? -1083409147 What is next in 3253866, 6507721, 9761576, 13015431? 16269286 What is the next term in -479202, -1916085, -4310650, -7662897, -11972826? -17240437 What is next in -7499, -14964, -22373, -29696, -36903, -43964, -50849, -57528? -63971 What is the next term in 78371726, 78371725, 78371724, 78371723, 78371722, 78371721? 78371720 What comes next: -25786, -51499, -77162, -102769, -128314, -153791? -179194 What is next in 38015, 34411, 30821, 27251, 23707, 20195, 16721, 13291? 9911 What is next in 3316986, 13267964, 29852934, 53071896, 82924850, 119411796? 162532734 What is next in -5184380, -10368758, -15553136, -20737514, -25921892, -31106270? -36290648 What is next in 26548, 53419, 80294, 107173, 134056, 160943? 187834 What is the next term in 17517, 15683, 13849, 12015, 10181, 8347? 6513 What comes next: -180227, -178591, -176955, -175319, -173683? -172047 What comes next: 10117, 40488, 91101, 161950, 253029, 364332, 495853, 647586? 819525 What is the next term in -4586, -18568, -41988, -74942, -117526, -169836, -231968, -304018? -386082 What comes next: -1098, -5242, -12164, -21876, -34390, -49718, -67872, -88864? -112706 What is the next term in -14119, -29952, -45779, -61600, -77415, -93224, -109027? -124824 What is the next term in 2663, 2653, 2641, 2633, 2635, 2653, 2693? 2761 What is the next term in -10866, -9982, -9084, -8166, -7222, -6246, -5232? -4174 What comes next: -4887, -19488, -43817, -77874, -121659, -175172, -238413? -311382 What is the next term in 1654, 13677, 46692, 111313, 218154, 377829, 600952? 898137 What comes next: 380267, 3042034, 10266791, 24336032, 47531251, 82133942, 130425599, 194687716? 277201787 What is the next term in 1892, 1856, 1792, 1676, 1484, 1192? 776 What comes next: -2136, -764, 2976, 10272, 22312, 40284? 65376 What is the next term in -5389851, -5389812, -5389773? -5389734 What is next in 8446, 17124, 26022, 35140, 44478, 54036, 63814? 73812 What is next in 6601, 10428, 14251, 18070, 21885, 25696, 29503? 33306 What is next in -2452, -18946, -63604, -150508, -293740, -507382, -805516? -1202224 What is next in -18653, -37053, -55445, -73823, -92181, -110513, -128813, -147075? -165293 What is next in 4679556, 4679553, 4679550? 4679547 What is next in 66065, 263756, 593091, 1054070, 1646693, 2370960? 3226871 What comes next: -11572, -12126, -12670, -13198, -13704? -14182 What comes next: -1752, -1569, -1544, -1677? -1968 What is the next term in 11243, 22382, 33525, 44672, 55823, 66978, 78137? 89300 What is the next term in -7036, -6761, -6486, -6211? -5936 What is the next term in 26266905, 52533811, 78800717, 105067623, 131334529? 157601435 What is the next term in -6, -275, -886, -1923, -3470, -5611, -8430, -12011? -16438 What is the next term in 1001062, 4006008, 9014252, 16025794, 25040634, 36058772, 49080208? 64104942 What comes next: -9, 12695, 57211, 152637, 318071, 572611? 935355 What comes next: -14262, -57128, -128572, -228594, -357194, -514372? -700128 What is the next term in -934, 2078, 10268, 26228, 52550, 91826? 146648 What is next in -1202, -5113, -11632, -20759, -32494, -46837? -63788 What comes next: -720320, -2881312, -6482974, -11525306, -18008308, -25931980, -35296322? -46101334 What is next in -173973567, -347947132, -521920697, -695894262? -869867827 What comes next: 8082, 15348, 22614, 29880, 37146? 44412 What is next in 40083927, 40083932, 40083937, 40083942? 40083947 What is next in 8975, 6594, 4213, 1832, -549? -2930 What comes next: -326, 2629, 7612, 14623? 23662 What is the next term in -191164816, -191164815, -191164812, -191164807, -191164800? -191164791 What is the next term in 9108003, 18216012, 27324025, 36432042? 45540063 What is the next term in -13884, -13756, -13624, -13488, -13348? -13204 What is next in -190125, -190361, -190599, -190839, -191081, -191325? -191571 What comes next: 2153536, 4307069, 6460598, 8614123? 10767644 What is next in -24888902, -24889032, -24889148, -24889244, -24889314, -24889352, -24889352? -24889308 What is next in 18483, 77229, 176237, 315507, 495039? 714833 What is next in -4268, -8160, -12026, -15866, -19680, -23468, -27230? -30966 What is the next term in 65950, 131886, 197796, 263668, 329490? 395250 What is the next term in 6585241, 6585238, 6585235, 6585232, 6585229, 6585226? 6585223 What comes next: -31861, -62763, -93663, -124561, -155457, -186351, -217243? -248133 What is next in 26767980, 53535963, 80303948, 107071935, 133839924, 160607915, 187375908? 214143903 What is next in -5065, -6918
{ "pile_set_name": "DM Mathematics" }
is the biggest value in u, -1, c? c Let w = 22.1 + -3.1. Let k = w + -21. Which is the third smallest value? (a) 5 (b) 4/9 (c) k a Suppose d = -4*p, 2*d - 10 = -d - 2*p. Let f be d/40*4*-1. Let n be 8/(-6) - (-2 + 2). Which is the biggest value? (a) n (b) 1 (c) f b Let f = -247/5 + 49. What is the fourth smallest value in 1, -4, -5, f? 1 Let x = 1 - 0.4. Let q = -0.7 + x. Let u be 0/1*(-2)/(-4). Which is the biggest value? (a) q (b) 0.1 (c) u b Let u = 9.92 + -10. Let r = u - -0.18. Which is the second smallest value? (a) r (b) 4 (c) -2/3 a Let q = 8 + -4. Let y = -3 - -4. What is the third smallest value in y, q, -2? q Let v(p) = -p**3 + 4*p**2 + 6*p - 5. Let s be v(5). Which is the biggest value? (a) s (b) -4 (c) -1/13 a Let t = -0.1 + -1. Let n = -1 - t. What is the second smallest value in 1/3, n, 0.3? 0.3 Let o = -1722 - -6819/4. Let n = 63/4 + o. What is the second biggest value in n, -0.2, -4? n Let g = 21 + -20.4. Let n = 5.6 - g. Which is the biggest value? (a) -3 (b) n (c) -1 b Suppose 7 = 3*a + 4. What is the third biggest value in 1/4, a, 4/7, -5? 1/4 Suppose 4*g = 5*j + 11, 3*g - 3 = -3*j - 15. Which is the second biggest value? (a) -3/5 (b) j (c) 3 a Let l = 0.7 + -0.4. Which is the smallest value? (a) l (b) 0.5 (c) -0.4 c Let g = -7 - -8.2. Let y = 5.2 - g. Which is the second biggest value? (a) 1/5 (b) y (c) 0.5 c Suppose 10 = -8*u - 14. Let f = 1 - 1. Which is the third smallest value? (a) f (b) 0.1 (c) u b Let k(m) = 41*m + 2. Let l be k(-2). Let j be 2/(-13) - l/182. Which is the smallest value? (a) 0.1 (b) -3 (c) j b Let p = 4 - 16. Let y = -0.29 + 0.49. What is the smallest value in p, y, -1/3? p Let l = 274 - 4108/15. Suppose 0 = 5*h + 15 - 35, 0 = -5*i - 2*h + 28. Let q = -4 + i. What is the third biggest value in 4, l, q? q Let p = -2 - -1.93. Let j = p - -0.07. What is the smallest value in -5, j, 2/7? -5 Suppose 0 = -3*p - 0*t + 4*t + 11, 3*p - 2*t = 7. Let l = -2 + 1. What is the second biggest value in p, l, 3/4? 3/4 Let y = -0.74 - -0.75. What is the third biggest value in y, -4, -3, 4? -3 Let z = -20 + 21. What is the biggest value in 0.8, -1, z? z Let y = 0.5 + -2.5. Which is the biggest value? (a) 0.1 (b) -0.1 (c) y a Let m = -2 + 1.8. Let z = 3.8 - m. What is the third biggest value in -4, 3, z? -4 Let l = -12 + -8. Let n be (l/6)/((-2)/6). Let f = -8 + n. Which is the biggest value? (a) 2/5 (b) 3 (c) f b Let u = -179 + 1249/7. Let i = -1.99 + -0.01. What is the third smallest value in i, -2/17, u? -2/17 Let i = -7.45 - 0.55. Which is the second smallest value? (a) 0.1 (b) i (c) 5 a Let i = 14 - 22. Let j = -7.2 - i. Let n = j - -0.2. Which is the third smallest value? (a) n (b) 3 (c) 2 b Let q(d) = -3*d**3 - 1. Let m be (0/(-2))/2 - 1. Let r be q(m). Let l be (5/25)/(-1 - 2/(-4)). What is the second smallest value in l, r, -1? l Let t be 138/(-60) - (-9)/6. Which is the second biggest value? (a) t (b) 2/7 (c) 0.1 c Let a(t) = -4*t**3 + 1. Let o be a(-1). Let i = -14.25 + 11.2. Let j = i + 0.05. What is the third smallest value in 1/6, j, o? o Let t = 14 + -12. Let f = 0 + 5. What is the second biggest value in f, 0.2, t? t Let f = -0.7 + 0.3. Suppose -3 + 18 = i. Let o be (-6)/15 - (-1)/i. What is the third smallest value in f, o, -2/7? -2/7 Suppose 0*z + 4 = -2*d + 4*z, -2*z = -4*d + 4. Suppose d*p = -2*p - 16. Let k = 185/4 + -46. What is the third smallest value in k, p, 1? 1 Let u = 0.4 - 0.3. Let z be ((-81)/6)/(-9)*(-10)/3. Which is the third biggest value? (a) 3 (b) z (c) u b Let u be ((-2)/30)/((-26)/65). Let t be -1 - -1 - (-4 + 0). Which is the third smallest value? (a) t (b) 0.1 (c) u a Let l = 6 - 9. Let s be 15/15 + -1 + -7. Which is the smallest value? (a) s (b) l (c) -4 a Suppose 3*j = -0*j + 510. Let h = j - 1192/7. What is the third smallest value in h, -2, -0.4? h Let u(d) = -d**2 + d + 3. Let n be u(3). Let r be ((-40)/(-45))/(4/6). What is the second smallest value in r, n, 4? r Let p be (-3)/(145/(-10) + 1). Which is the biggest value? (a) -10 (b) 0.1 (c) p c Let t(s) = s**3 + s**2 + s + 4. Let z be t(0). Which is the second smallest value? (a) -5 (b) z (c) -2 c Let r = -121.7 + 123. Which is the biggest value? (a) 5 (b) r (c) 2/7 (d) 0.1 a Let x be ((-5)/(-15))/((-8)/18). Let k = 26 - -22. Let o be ((-4)/k)/((-1)/2). Which is the smallest value? (a) o (b) x (c) -4 c Let m = -0.343 - -0.043. Which is the fourth biggest value? (a) m (b) 1/3 (c) -0.1 (d) -7 d Let n = 2 + -3. Let k = -0.07 - -4.07. Let m = 0.06 - 2.06. Which is the second biggest value? (a) m (b) k (c) n c Suppose 0 = -n + 23 - 21. What is the third smallest value in 5, 0.2, n? 5 Let j = 1.82 - 6.82. Let f = 5 - 8. Which is the third smallest value? (a) -0.1 (b) f (c) j a Let m = 60.49 - 60. Let s = -0.27 + m. Let z = -0.08 - s. Which is the smallest value? (a) z (b) -1/2 (c) -1 c Let m = 11.4 + -9.4. What is the third biggest value in m, -0.01, -1/5? -1/5 Let z(h) = h - 3. Let s be z(9). Let i = s - 4. What is the second biggest value in i, -4, -2/3? -2/3 Let n = -0.44 - -0.04. What is the second smallest value in -1/9, n, 1? -1/9 Let f = -18 - -6. Let j = f + 7. Let z = -0.4 + 0.5. Which is the smallest value? (a) 3/5 (b) j (c) z b Let q = 0.07 - 5.07. What is the smallest value in 4, q, 1? q Suppose 8*n - 420 = 3*n. Let c be n/135 - (-4)/(-10). Let b = -11/4 - -13/4. What is the smallest value in b, c, -5? -5 Let z = 20 - 20.3. Let y = -4 + 4. Which is the second smallest value? (a) 1/10 (b) y (c) z b Let t be 4/(-10) - (-20)/50. Which is the third smallest value? (a) 5/6 (b) t (c) -0.2 (d) 7 a Let q be ((-3)/2)/((-3)/4). Suppose -q*h + m + 27 = 0, h + 4*m = 5*m + 14. Let p be 2/((-12)/h) - -2. Which is the third biggest value? (a) -2/3 (b) 5 (c) p a Let y = -126.7 - -133. Let t = -13.7 - -15. Let u = y - t. Which is the biggest value? (a) -0.5 (b) u (c) 4 b Let n(q) = -q - 4. Suppose w = o + 9, -5*w = 4*o - 0*o - 9. Let j be n(o). Let u = -0.04 + 0.44. Which is the biggest value? (a) j (b) 4 (c) u b Suppose 3*p + 4*o + 49 = 2*o, -5*p = 3*o + 81. Let t be p/20*16/(-42). Let a = 11 - 8. What is the smallest value in 0.2, a, t? 0.2 Let i = -5 + -2. Let m = i + 10. Which is the smallest value? (a) 0.3 (b) 0.5 (c) m a Suppose -q - 4 = -0. Let o = -5.26 - -0.26. Which is the smallest value? (a) o (b) -2 (c) q a Let r = 2 + -1.5. Let j be -3 - (1 + -2 - 3). Which is the second smallest value? (a) j (b) -3 (c) r c Let n = 0.3 - 0.2. Let l = 34/13879 - -1337593/3539145. Let m = l + 1/51. What is the second smallest value in n, m, 1? m Let u = 83/245 - -3/49. Let p = 11 + -9. Which is the smallest value? (a) u (b) 1 (c) p a Suppose 2*r = r + 2. Let y be r/(-4)*(2 - -8). Which is the smallest value? (a) y (b) 2 (c) -6 c Let u be 3/13*(-2)/(-3). What is the biggest value in -1/5, u, -1/3? u Suppose -2*a = f + 4, 4*f = -4*a - 0*f. What is the biggest value in 0.1, a, -1/2? 0.1 Let i = 14.51 - 0.71. Let q = i - 23. Let o = q + 9. Which is the third biggest value? (a) o (b) 4 (c) 0.2 a Let v be (-16)/(-6)*3/(-2). Let o = -6 + 11. Let p = 4.7 - o. Which is the third biggest value? (a) 1/3 (b) p (c) v c Let s = -19/4 - -41/8. Which is the biggest value? (a) s (b) -1/2 (c) 0 a Let y(i) = 4*i**2 + 2*i - 4. Let s be y(-6). Let h be 21*14*s/(-114). Let x = h + 330. Which is the third biggest value? (a) -0.5 (b) x (c) 4 a Let r = 25 - 21. What is the smallest value in r, 0.5, -1/2? -1/2 Let m = -134929611/594880 - -1/54080. Let t = m + 227. Which is the biggest value? (a) 3 (b) t (c) -0.4 a Let v = -0.1 - -4.1. Let m = 0.6 - 0.1. Which is the third biggest value? (a) v (b) m (c) -0.3 c Suppose -3*h + h + 3*t - 8 = 0, 0 = -3*h - t - 1. What is the second biggest value in 0, h, -3? h Let f = -1.2 + 0.7. What is the third smallest value in 3, 2/7, f, -5? 2/7 Let p = -641/6 + 107. Which is the second biggest value? (a) 0.2 (b) p (c) -0.2 (d) 2/11 d Let f = -0.3 + 0.7. Let j = f - -0.1. What is the third biggest value in 0.4, j, 8? 0.4 Let r = -745/9 - -83. Let s be 0*((-21)/(-6) + -3). Let k be (-2)/2*(-1 + s). What is the third smallest value in -5, k, r? k Let z(p) = p + 1. Let f be z(1). Let q(m) = -2*
{ "pile_set_name": "DM Mathematics" }
41, 11098? u**3 - u**2 + 1543*u + 3 What is the n'th term of -66, -246, -548, -972, -1518? -61*n**2 + 3*n - 8 What is the p'th term of 3604, 3606, 3608, 3610? 2*p + 3602 What is the q'th term of 795, 1572, 2337, 3084, 3807? -q**3 + 784*q + 12 What is the k'th term of 35455, 35454, 35453, 35452? -k + 35456 What is the v'th term of 40, 104, 190, 298? 11*v**2 + 31*v - 2 What is the x'th term of -86, -175, -226, -221, -142, 29? 3*x**3 + x**2 - 113*x + 23 What is the r'th term of 51, 112, 187, 270, 355, 436, 507? -r**3 + 13*r**2 + 29*r + 10 What is the l'th term of -172, -338, -500, -658? 2*l**2 - 172*l - 2 What is the w'th term of 45, 79, 119, 165, 217, 275? 3*w**2 + 25*w + 17 What is the m'th term of 1877, 1878, 1879, 1880, 1881? m + 1876 What is the q'th term of 223, 241, 257, 271, 283, 293? -q**2 + 21*q + 203 What is the x'th term of 1, -15, -53, -125, -243? -2*x**3 + x**2 - 5*x + 7 What is the v'th term of -77, -258, -555, -974, -1521, -2202, -3023? -v**3 - 52*v**2 - 18*v - 6 What is the h'th term of 1685, 3370, 5057, 6746, 8437, 10130? h**2 + 1682*h + 2 What is the f'th term of -3, 6, 13, 18, 21? -f**2 + 12*f - 14 What is the j'th term of -81, -90, -109, -144, -201? -j**3 + j**2 - 5*j - 76 What is the b'th term of 1, 41, 151, 367, 725? 6*b**3 - b**2 + b - 5 What is the b'th term of 41, 18, -21, -82, -171, -294, -457? -b**3 - 2*b**2 - 10*b + 54 What is the i'th term of -72, -120, -164, -198, -216, -212, -180, -114? i**3 - 4*i**2 - 43*i - 26 What is the l'th term of 898, 1789, 2680, 3571, 4462, 5353? 891*l + 7 What is the m'th term of 26, 45, 70, 101, 138, 181? 3*m**2 + 10*m + 13 What is the d'th term of 132, 542, 1226, 2184, 3416? 137*d**2 - d - 4 What is the b'th term of -162, -321, -500, -705, -942? -b**3 - 4*b**2 - 140*b - 17 What is the d'th term of -1490, -1493, -1496, -1499? -3*d - 1487 What is the s'th term of 264, 265, 266, 267? s + 263 What is the t'th term of 65, 122, 159, 170, 149? -t**3 - 4*t**2 + 76*t - 6 What is the i'th term of -45, -402, -1003, -1854, -2961, -4330, -5967? -i**3 - 116*i**2 - 2*i + 74 What is the x'th term of -30, -11, 22, 69, 130, 205, 294? 7*x**2 - 2*x - 35 What is the z'th term of -107, -110, -127, -164, -227, -322, -455? -z**3 - z**2 + 7*z - 112 What is the x'th term of -3, -27, -89, -207, -399, -683, -1077? -3*x**3 - x**2 + 1 What is the o'th term of -174, -172, -170, -168? 2*o - 176 What is the d'th term of -50, -83, -90, -59, 22? 2*d**3 + d**2 - 50*d - 3 What is the f'th term of -8820, -8822, -8824, -8826? -2*f - 8818 What is the g'th term of -265, -260, -241, -202, -137? g**3 + g**2 - 5*g - 262 What is the q'th term of -2603, -2593, -2571, -2531, -2467, -2373, -2243, -2071? q**3 + 3*q - 2607 What is the n'th term of 10, 24, 40, 58, 78, 100, 124? n**2 + 11*n - 2 What is the r'th term of 238, 484, 744, 1024, 1330? r**3 + r**2 + 236*r What is the p'th term of -435, -436, -437, -438, -439, -440? -p - 434 What is the w'th term of -231, -466, -701, -936, -1171, -1406? -235*w + 4 What is the b'th term of 47, 100, 153, 206, 259? 53*b - 6 What is the q'th term of -142, -284, -426? -142*q What is the s'th term of 619, 620, 621, 622, 623? s + 618 What is the j'th term of -4, 31, 76, 137, 220, 331? j**3 - j**2 + 31*j - 35 What is the z'th term of -1, -7, -11, -7, 11, 49, 113, 209? z**3 - 5*z**2 + 2*z + 1 What is the j'th term of 2, 12, 36, 80, 150, 252, 392? j**3 + j**2 What is the t'th term of 141, 268, 399, 534, 673? 2*t**2 + 121*t + 18 What is the t'th term of -34, -56, -78, -100, -122? -22*t - 12 What is the s'th term of -18, -154, -536, -1290, -2542, -4418, -7044? -21*s**3 + 3*s**2 + 2*s - 2 What is the j'th term of 6, 47, 168, 411, 818, 1431? 7*j**3 - 2*j**2 - 2*j + 3 What is the k'th term of -1843, -1839, -1833, -1825, -1815? k**2 + k - 1845 What is the j'th term of -285, -295, -319, -363, -433, -535, -675? -j**3 - j**2 - 283 What is the v'th term of -10, -34, -80, -154, -262, -410, -604? -v**3 - 5*v**2 - 2*v - 2 What is the k'th term of 36, 54, 84, 132, 204, 306, 444? k**3 + 11*k + 24 What is the l'th term of 27, 24, 9, -24, -81, -168, -291? -l**3 + 4*l + 24 What is the a'th term of -102, -207, -312? -105*a + 3 What is the f'th term of -17, -45, -97, -185, -321, -517, -785, -1137? -2*f**3 - 14*f - 1 What is the t'th term of -194, -210, -226, -242, -258, -274? -16*t - 178 What is the k'th term of 43, 185, 431, 787, 1259, 1853, 2575, 3431? k**3 + 46*k**2 - 3*k - 1 What is the d'th term of -132, -178, -210, -222, -208, -162, -78? d**3 + d**2 - 56*d - 78 What is the z'th term of -30, -98, -204, -348, -530, -750? -19*z**2 - 11*z What is the p'th term of -30494, -30492, -30480, -30452, -30402, -30324? p**3 - p**2 - 2*p - 30492 What is the r'th term of -28, -38, -50, -64, -80, -98? -r**2 - 7*r - 20 What is the c'th term of -209, -189, -155, -101, -21, 91, 241, 435? c**3 + c**2 + 10*c - 221 What is the m'th term of -4082, -8160, -12240, -16322, -20406, -24492, -28580? -m**2 - 4075*m - 6 What is the c'th term of 15, 55, 121, 213, 331? 13*c**2 + c + 1 What is the q'th term of 225, 264, 303, 342, 381? 39*q + 186 What is the g'th term of -210, -415, -618, -819, -1018, -1215? g**2 - 208*g - 3 What is the g'th term of -74, -96, -118, -140, -162? -22*g - 52 What is the u'th term of 2, 31, 80, 149? 10*u**2 - u - 7 What is the b'th term of 279, 1104, 2477, 4398? 274*b**2 + 3*b + 2 What is the c'th term of 149, 348, 547? 199*c - 50 What is the h'th term of -758, -752, -750, -758, -782, -828? -h**3 + 4*h**2 + h - 762 What is the c'th term of 195, 406, 619, 834, 1051? c**2 + 208*c - 14 What is the b'th term of -1399, -5580, -12555, -22330, -34911? -b**3 - 1391*b**2 - b - 6 What is the j'th term of 46, 84, 122? 38*j + 8 What is the i'th term of -203, -400, -593, -782? 2*i**2 - 203*i - 2 What is the r'th term of -13, -3, 21, 65, 135? r**3 + r**2 - 15 What is the n'th term of 85, 93, 101? 8*n + 77 What is the t'th term of 52, 81, 130, 199, 288, 397? 10*t**2 - t + 43 What is the u'th term of 24, 61, 114, 189, 292, 429? u**3 + 2*u**2 + 24*u - 3 What is the s'th term of -15, -25, -35, -45? -10*s - 5 What is the i'th term of -281, -1147, -2591, -4613? -289*i**2 + i + 7 What is the j'th term of 30, 34, 44, 60, 82? 3*j**2 - 5*j + 32 What is the x'th term of 26, 141, 256? 115*x - 89 What is the c'th term of -624, -625, -626, -627, -628? -c - 623 What is the z'th term of 95, 119, 143, 167? 24*z + 71 What is the h'th term of -1968, -1970, -1972? -2*h - 1966 What is the b'th term of -99, -74, -29, 42, 145? b**3 + 4*b**2 + 6*b - 110 What is the p'th term of -9, 10, 65, 174, 355, 626? 3*p**3 - 2*p - 10 What is the b'th term of 98, 109, 134, 179, 250? b**3 + b**2 + b + 95 What is the p'th term of 22, 25, 28, 31? 3*p + 19 What is the g'th term of -341, -343, -345, -347, -349? -2*g - 339 What is the x'th term of 66, 74, 72, 48, -10, -114, -276? -2*x**3 + 7*x**2 + x + 60 What is the i'th term of -12, -33, -66, -111, -168, -237? -6*i**2 - 3*i - 3 What is the t'th term of 22, 11, 0, -11, -22? -11*t + 33 What is the c'th term of 2659, 5318, 7977, 10636, 13295, 15954? 2659*c What is the j'th term of 101, 94, 73, 32, -35, -134? -j**3 - j**2 + 3*j + 100 What is the l'th term of -1097, -1098, -1101, -1106? -l**2 + 2*l - 1098 What is the t'th term of -2, -9, -24, -47, -78, -117, -164? -4*t**2 + 5*t - 3 What is the g'th term of 283, 281, 279, 277? -2*g + 285 What is the z'th term of 2981, 2976, 2969, 2960, 2949, 2936, 2921? -z**2 - 2*z + 2984 What is the o'th term of 68, 9, -60, -145, -252, -387? -o**3 + o**2 - 55*o + 123 What is the s'th term of 16, 2, -30, -86, -172, -294? -s**3 - 3*s**2 + 2*s + 18 What is the y'th term of 198, 74, -132, -420? -41*y**2 - y + 240 What is the m'th term of 112, 442, 978, 1708, 2620, 3702, 4942? -2*m**3 + 115*m**2 - m What is the x'th term of -141, -153, -165? -12*x - 129 What is the i'th term of 135, 137, 139, 141, 143? 2*i + 133 What is the s'th term of 110, 107, 102, 95, 86? -s**2 + 111 What is the x'th term of -103, -210, -315, -418? x**2 - 110*x + 6 What is the h'th term of -485, -484, -491, -512, -553, -620, -719, -856? -h**3 + 2*h**2 + 2*h - 488 What is the x'th term of 2813, 2816, 2819, 2822? 3*x + 2810 What is the y'th term of 157, 161, 167, 175, 185, 197, 211? y**2 + y + 155 What is the a'th term of -12, -28,
{ "pile_set_name": "DM Mathematics" }
et r = 16 - 13.49. Let j = 2.4 - r. Let z = j + -6.89. What is the closest to 1 in 5, -4/3, z? -4/3 Let z = -12 + 12.1. Let o = -0.4 - -0.3. What is the nearest to z in 2, -4/7, o? o Let y = -367 + 444.6. Let s = y - 78. What is the nearest to 16 in s, 0.2, 2? 2 Let p be (160/25 - 6)*10. What is the nearest to p in -4/5, -0.3, -1/3? -0.3 Let i be 126/4*32/56. Which is the nearest to i? (a) -1/8 (b) 2 (c) -0.2 b Let n = 2/15 + -8/285. What is the nearest to 5 in 2, 0.5, n? 2 Let i(q) = -1. Let c(u) = u**2 - 13*u - 33. Let y(d) = c(d) - 2*i(d). Let l be y(15). What is the nearest to l in 0.4, -3, 2? 0.4 Let l = -320 + 351. What is the nearest to l in -0.2, 0.3, 1/4, 0.5? 0.5 Let v = 1147.9 + -1148. What is the nearest to 2 in v, -0.3, 19? v Let g = -33 + 33.15. Let i = g - 5.15. What is the nearest to 2 in i, -2/7, -0.3? -2/7 Let w = 599 + -598. Which is the nearest to -2/7? (a) -4 (b) 8 (c) w (d) 1/2 d Suppose 7*y - 8*y = -3*r + 95, 0 = 2*r + 5*y - 86. What is the closest to 2 in 1, 2, -2/9, r? 2 Let w be (-4)/(-14) - (-13)/(-21). Let q = 163 - 243. Let o = q + 79.5. Which is the closest to -1/3? (a) -5 (b) o (c) w c Suppose 54 = 21*o - 18*o. Let v be (-3)/(o/(-4))*(32 - 34). What is the closest to -1 in 0.2, v, -3? v Let l = 2195 - 2192. Let h = 0.3 - -0.1. Suppose -5*f - 2*w - 3*w = -5, w + 7 = -5*f. What is the nearest to -1 in h, f, l? f Let k = -2.858 + 2.958. Let u be 3/(-2) + 770/516. Let c = u + 271/1677. What is the closest to k in 4, c, -2/13? c Let q = 2523 - 2528. Let c = -3 + 8/3. What is the closest to c in -1, 4/5, q? -1 Let d = -204 - -199. What is the nearest to -0.2 in 3, d, 0.2? 0.2 Let s = -39 + -1. Let w = s + 37. Which is the nearest to 2? (a) 2 (b) 0.3 (c) w a Let g be (4 + -4)/(7 + (-2 - 3)). What is the closest to -8 in g, 5, -28, -1/4? -1/4 Let a be 3/(-2)*(-8 + 6). Let u be ((-21)/70)/(a/4). Let w = -9/14 + 1/7. What is the closest to w in 5, 4, u? u Let w = 3.72 - -1.28. Which is the closest to w? (a) 3 (b) 0.5 (c) -1 (d) -0.1 a Suppose 4*r + 2*i + 12 = 0, 2*r + 7 = -2*i + 1. Let b = 68 - 70. What is the closest to b in r, -4, -1/3? r Let t = 0.3109 - 0.0109. Let k = 12 - 11.5. What is the closest to -1 in k, 0.1, t? 0.1 Let q = -2543/2 - -1272. Which is the closest to q? (a) 21 (b) 3/7 (c) 0 b Suppose 0 = 4*z + 4*f - 0*f - 32, -5*z + 25 = 2*f. Suppose 4*r + 2 = 2*i - 0*i, 0 = -2*i - r + 22. Let a = i - 10. What is the nearest to 0 in z, a, -2? a Let u = -216 - -217. Which is the closest to 5? (a) u (b) 4 (c) 0.3 b Let s = -78.3 + 77.3. What is the closest to 0 in 0.09, s, -0.04, -2/5? -0.04 Let m = -87 - -68. Let z = 15 + m. What is the nearest to -1/3 in 2/5, z, 0.5? 2/5 Let l = -765.5 + 766. What is the nearest to 0.2 in -3, 0.05, 2, l? 0.05 Let o = -11/18 - -23/18. Which is the closest to 3/5? (a) 2/5 (b) o (c) -3/2 b Let h = -109/5 - -22. Let w be 3/((-30)/80) - (-1)/1. Let t be -4 - ((-3 - -2) + 19/w). What is the closest to t in h, 0.3, -4? h Let o = 87.2 + -74. Let y = o + -13. Let s = y - 2.2. Which is the closest to s? (a) -0.4 (b) 2 (c) -5 a Let l = 16.27 + -19.6. Let d = 0.17 - l. Let z = 6.5 - d. Which is the closest to 0.1? (a) 1 (b) -1/3 (c) z b Let s = 86.7 + -96.7. What is the closest to -14/5 in 0.1, s, -4/3? -4/3 Let z(g) = g**3 - 2*g**2 - g + 1. Let u be z(2). Let r = -130.5 - -130.5. What is the closest to u in -1/6, r, 2/9? -1/6 Let u be ((-1)/(-24))/(111/(-24) - -5). Which is the nearest to -26? (a) 1/4 (b) 0 (c) u b Let l = -11.1 + 12.1. Let c(o) = o - 15. Let s be c(15). What is the nearest to l in -4, s, 4? s Let m = -549 + 549.1. Which is the closest to m? (a) -0.03 (b) -2 (c) -5/2 (d) -1 a Let g = -1/42 + -1/7. Let t = 1.95 + -2.95. Let l = -0.8 + 0.4. Which is the closest to 0? (a) g (b) l (c) t a Let t = 1 - -1. Let j be 0*((-4)/6)/((-16)/(-12)). What is the closest to 3 in j, t, 1/6? t Let q(y) = y**3 + 4*y**2 + 3. Let l be q(-4). Let k be (0 - 0/(-3)) + l. Let t be (17/(-85))/(k/(-5)). Which is the nearest to t? (a) 4 (b) -1/6 (c) 0.5 c Let v be (13/(-117))/(2 + 5/(-3)). What is the closest to -1 in -1.2, v, 6/13? -1.2 Let l be ((-32)/(-260))/(-4)*5. Let i(r) = -r**3 - 5*r**2 + 4*r - 17. Let x be i(-6). Which is the closest to -11? (a) -4 (b) x (c) l b Let m be -4 - 35/(-15 + 10). Let z = 0.7 - 1. Which is the nearest to -0.4? (a) 0.2 (b) m (c) z c Suppose -3*z = -5*z - 26. Let o = -8 - z. Suppose 2 = -2*t - 2, -3*k - o*t - 13 = 0. Which is the nearest to k? (a) 2 (b) 4 (c) -0.5 c Let f = -593 + 595. Which is the closest to -6/11? (a) f (b) 4 (c) -2/7 c Let t be 56/(-7) - (2 + -5). Which is the closest to 71? (a) 1 (b) 0.4 (c) -2 (d) t a Suppose 5*n - 8 = -4*p, -5*p + 9*n - 6*n = -10. Let a = -26.53 - -27.53. What is the nearest to 2 in 2/3, p, a? p Let o = -175.1 - -175. Which is the closest to 4? (a) -2/5 (b) o (c) -0.3 (d) 1 d Suppose k - 4*m - 2 = 0, -2*k + 4 = 4*m - 0*m. Let i = 1338 - 1336.927. Let j = i + -0.073. Which is the closest to k? (a) -0.5 (b) -2/5 (c) j c Let s be 16284/(-140) + 3 + 4/(-10). Let w = 114 + s. What is the closest to w in -2, -1, 21? -1 Let l = 2/19 + 28/95. Let a = 28 + -29. Let o = 2.2 + -2. What is the closest to 2/7 in a, l, o? o Let v = 24/7 - 13/14. What is the nearest to 0.3 in -3/4, 3, v? -3/4 Let z = 3.7 + -4. Let w(u) = -6*u**2 - 7*u - 1. Let v be w(6). Let k = -3369/13 - v. Which is the nearest to -1/2? (a) z (b) 0 (c) k a Suppose -16*m + 17*m + 7 = 0. Let o be (35/15)/(-7)*(-1 - m). Which is the nearest to o? (a) 4/5 (b) -0.05 (c) -2/7 c Let l = -0.011 - -60.011. Let v = l + -59. What is the nearest to v in 3/5, 7, -3? 3/5 Let d be -8 + 1 + 592/80. Which is the closest to d? (a) 2/7 (b) -5 (c) -9 a Let y = -21 - -21. Let z(k) = k**3 + k**2 - k - 2. Let w be z(y). Let d = -11 + 7. Which is the closest to w? (a) -2/7 (b) 2/3 (c) d a Let o be (-1)/10*-4 + -14 + 13. Let q = 10 - 15. What is the nearest to -16 in q, -1, o? q Let w = -0.38 + -2.62. Let d = 1 - w. Which is the closest to 0.1? (a) -5 (b) d (c) -0.06 c Let t = -172 - -171.893. Let w = -0.507 - t. Which is the nearest to 0.1? (a) w (b) -3 (c) -0.5 a Let v = 7 + -4. Let f = -30 - -31. Let q = -0.6 + f. Which is the closest to 1? (a) v (b) q (c) 0.5 c Let f be ((-15)/936)/((-13)/(-1220)). Let q = 2/507 + f. Let h = 2 + -1.8. Which is the nearest to h? (a) 0.3 (b) -0.5 (c) q a Let f = -410 - -420. What is the closest to 3 in 1, 2, f? 2 Let i(a) = 2*a**3 - a**2 + a. Let h be i(1). Let b = -2 + h. Let g = -68.8 - -68.5. What is the nearest to b in 0, 2, g? 0 Let q = -10 - -5. Let o = 152948/19 + -8050. Which is the closest to o? (a) 1/8 (b) -0.4 (c) q a Let c = -0.2 + 0.4. Suppose 38 - 68 = -15*n. What is the closest to 1 in -2/19, n, c? c Let u = 6 - 3.4. Let p = -1.7 + u. Let x = p + -1.1. What is the nearest to -1 in 3/5, 0.5, x? x Suppose 0*t - 10 = 2*t + 2*a, 0 = -5*a - 10. Let h = -0.2 + 1.2. Let s(f) = f**3 - 5*f**2 - 5*f - 3. Let g be s(6). What is the nearest to h in t, g, 0.4? 0.4 Let r be (-12)/((-80)/(-44) + -2). Let i be r/15 - (-6)/(-10) - 3. Let f = -1.5 + 1. Which is the closest to 2/3? (a) i (b) f (c) -2 a Let q be 22/6 - (-6)/(-9). Let n = -148 + 138. Let t be (-15)/(-95)*n/(-15). Which is the nearest to 1/3? (a) 0 (b) q (c) t c Let g = 2.76 + 1.24. Suppose 0 = -4*r - 7 - 1. Let f = -4 + 3. Which is the closest to f? (a) r (b) g (c) 3 a Let d(o) = 36*o + 176. Let t be d(-5). Which is the nearest to -1? (a) t (b) -5 (c) -0.24 c Let d = -4 - -3. Let k = 37.8 - 38. Let m = 0.08 + -0.08. Which is the nearest to d? (a) m (b) -4 (c) k c Let t be 31/18 - (-4)/(-18). Let w = 0.1426 + 0.0574. Which is the nearest to -0.2? (a) w (b) t (c) 2/7 a Let w = -255 - -194. Which is the closest to -1? (a) 1/10 (b) 5 (c) w a Let b = 0.38 - 0.28. What is the closest to b in 1, -3/7, 1/2? 1/2 Let s = -50 + 56. Let u = -7 + s. What is the nearest to u in 2, -0.1, 3/2? -0.1 Let p = 173.3 + -173. Let r = 22/115 - -1/115. Which is the closest to 2/3? (a) -1/5 (b) r (c) p c Let o = -100 - -97. Let h = o + 2. Which is the nearest to h? (a) 3 (b) -3 (c) -13 b Let k = 0.155 - -2.845. Which is the nearest to 2? (a) k (b) -3 (c) 5/4 c Suppose 3*l + l - 332 = -4*f, 4*l = 3*f - 2
{ "pile_set_name": "DM Mathematics" }
w. Is 6 a factor of o? False Let k(x) = 30*x**2 + 41*x - 21. Is 8 a factor of k(-6)? False Suppose 2*b + 82 + 108 = 0. Let v = b - -99. Does 3 divide v? False Suppose 0 = -2*r + 5*p + 4, -4*p = -4*r - 3*p + 8. Is (-11)/(7/(-21)*(r - -1)) a multiple of 5? False Let a = -349 + 637. Is 9 a factor of a? True Let a(o) = 44*o - 139. Is 43 a factor of a(10)? True Let x = 930 - -553. Is 11 a factor of x? False Suppose 47*l - 1 = 46*l, 0 = 2*k + 4*l - 1534. Is k a multiple of 85? True Let k be 12/8*-2 - -156. Suppose 7*q - k - 169 = 0. Does 33 divide q? False Let j(f) = -5*f - 7. Let q(n) = 10*n + 13. Let z(g) = -5*j(g) - 2*q(g). Let d be z(12). Suppose 5 = i, -4*l + d = 2*i - 1. Is l a multiple of 15? True Let a = 704 - 320. Suppose -d + a = d. Suppose 0*l - 4*j - 57 = -l, -2*j = 4*l - d. Does 15 divide l? False Suppose 5*i - 43 = 2*z, -2*i + 3*i - 3*z = 6. Let m(f) = 4*f + i + 12 + f - 4*f. Is 19 a factor of m(0)? False Let i(y) = 4*y**3 + y**2 - 1. Let m be 3/1*(3 + 0 + -2). Is 29 a factor of i(m)? True Let o(r) = -2*r**3 - 10*r**2 + 13*r - 55. Does 16 divide o(-13)? True Let o(a) = a**3 - 8*a**2 + 2*a - 7. Let s(q) be the third derivative of 2*q**5/15 - 8*q**2. Let c be s(-1). Is 3 a factor of o(c)? True Let d = 238 + -414. Let l = -119 - d. Is l a multiple of 22? False Suppose -2*t + 13 = -0*t + 5*g, -3*t = -5*g - 7. Suppose 2*s - 18 = -2*n, t*s - 32 = s + 2*n. Is 2 a factor of s? True Suppose j = -4*j - 20, -4*j = 5*d - 9. Suppose 0 = -3*l + d*o - 9, -2 + 11 = -3*l - o. Is 13 a factor of ((-1)/l)/(1/171)? False Let h be (1 - 2/3)*3. Let z = h + 12. Is z even? False Let j = 26 - 38. Let p = 12 + j. Suppose p = -y - y + 164. Is 20 a factor of y? False Suppose 8 = -d - 3*a, 2*a = 4*d - a - 28. Suppose d*q - 5*k = 63, 2*q = -k - k + 36. Suppose -q = -u + 32. Is 13 a factor of u? False Suppose 54 + 6 = 5*y. Suppose 0 = -4*k + 4 + y. Is 19 a factor of ((-38)/k)/(1/(-2))? True Let b = 43 + -55. Let l(c) = 17*c + 10. Let s be l(-8). Does 5 divide 9/b + s/(-8)? True Suppose 20 = -3*c - 2*c - 2*k, -7 = -3*c - 5*k. Let w(h) = 8*h**2 + 2*h + 21. Does 27 divide w(c)? True Let g(w) = 3*w**2 - 14*w + 14. Let d(s) = s**2 - 5*s + 5. Let r(k) = -11*d(k) + 4*g(k). Let u(b) = b**3 - 6*b**2 - 5*b - 11. Let l be u(7). Does 7 divide r(l)? True Suppose 0 = -6*a + a. Let t be 3/2 + (-4)/(-8). Suppose 0 = 3*p + h - 76, -h + a - 49 = -t*p. Is 18 a factor of p? False Let c be -14 - 0/(4 - 3). Let z(t) = t**3 - 10*t**2 - 5*t. Let f be z(8). Is 17 a factor of (c/8)/(7/f)? False Let v be 60/(-40)*(-44)/6. Let y = -9 + v. Suppose -y*d + 5 + 5 = 0, -d = -5*u + 45. Is u a multiple of 3? False Let l be (-77)/(-33) - (-2)/(-6). Suppose i = -l*f + 36, 2*f + 3*f = 2*i + 108. Is 7 a factor of f? False Suppose 24 = 2*s + 16. Suppose 260 = -s*a - 244. Let u = -89 - a. Is u a multiple of 10? False Let s(a) = -a**2 - 13*a - 3. Let v be s(-9). Let n = -15 + v. Is n a multiple of 14? False Let u(y) = -14*y + 3*y**2 - 2 - 2*y**2 + 15*y. Suppose o - 16 + 22 = 0. Does 19 divide u(o)? False Is 15 a factor of 41940/60 - (-1 + -7)? False Let d(p) = -p**2 + 8*p - 11. Let u be d(5). Suppose 0*w - 4*w = 3*a - 26, -u*a + 68 = -3*w. Is a a multiple of 7? True Suppose 5*s + 207 - 2292 = 0. Let o = s + -105. Does 16 divide o? False Suppose -o = -q + 77 - 10, -2*o = -4*q + 258. Is 31 a factor of q? True Let j = 670 - 278. Suppose j = 5*f + 3*p, 2*p = 3*f - 167 - 53. Suppose i + i = f. Is i a multiple of 19? True Let v be 1/(4 + (-19)/5). Suppose -3*g + 93 = 2*s, 0*s = 2*s + v*g - 95. Is s a multiple of 15? True Let j = 1600 - 1264. Is 8 a factor of j? True Let q = 7 + -4. Suppose -i = o - 2, i - 20 = -4*i - q*o. Suppose -v + i + 25 = 0. Does 32 divide v? True Let w(t) be the second derivative of -t**5/20 + 5*t**4/12 + 13*t**3/6 - 8*t**2 + 16*t. Is 5 a factor of w(5)? False Does 64 divide 995364/486 - 8/108? True Let s(i) = -4*i + 12. Let x be s(-9). Suppose -1 + 5 = 4*p, 0 = 2*k + 2*p - x. Suppose 3*q = -3*l + 25 + k, l - q - 24 = 0. Is 19 a factor of l? False Is 12/(-78) + 14028/91 a multiple of 6? False Let g = -30 + 20. Let r = 20 + g. Suppose a - 54 = m - r, m = -4*a + 171. Is 10 a factor of a? False Let q(g) = 306*g - 295. Does 79 divide q(10)? True Let m(w) = 10*w**2 - 6*w - 27. Is 9 a factor of m(-6)? True Suppose 4792 = 8*y + 312. Does 19 divide y? False Let z be (5 + 0)*2/5. Is ((-67)/2)/((-1)/z) a multiple of 16? False Let k = 613 - -67. Is 34 a factor of k? True Suppose 0 = -27*y + 25716 + 5307. Is y a multiple of 75? False Suppose -2*k + 6*p = 9*p - 4261, -4263 = -2*k - p. Is 17 a factor of k? False Suppose 4*p = -0*p - 28. Let b = p - 41. Is (15/6)/((-2)/b) a multiple of 20? True Let g = -17 - -18. Is 34 - (g - (1 + -2)) a multiple of 6? False Suppose 82*x - 85*x = -9. Suppose 0 = -v + x*v - 420. Is v a multiple of 21? True Suppose 5*m - 2 = s, 5*s - 26 = 6*s + 3*m. Let b(f) = f**3 + 4*f**2 + f + 2. Let v be b(-5). Let w = s - v. Is 7 a factor of w? False Let j = 22 + -21. Let o be j/7 - (-9568)/56. Is (10/15)/(3/o) a multiple of 10? False Let y(o) be the first derivative of 2*o**3/3 - 11*o**2 + 6*o - 15. Is y(15) a multiple of 18? True Suppose -17*n = -12*n - 125. Let j = -15 + n. Is j a multiple of 4? False Let u = -1539 - -2765. Is u a multiple of 47? False Let w(h) = 10*h + 3 - 10*h**2 + h**3 + h - 1 + 0. Let n be 4 + (-15)/((-3)/1). Is 20 a factor of w(n)? True Let d = 582 + -1624. Let k = d + 682. Does 18 divide (k/(-28))/(1/7)? True Let w(d) = -d + 11. Suppose q - 3 = 1. Let t(y) = 3*y - 21. Let j(r) = q*t(r) + 7*w(r). Is 17 a factor of j(6)? False Let c be 3 + -17*(-3)/3. Let u = 30 + c. Suppose 6*h - u = 40. Is h a multiple of 5? True Suppose 63 = -3*o + 57, -o + 6349 = 3*x. Does 107 divide x? False Suppose -45 = 7*z - 1445. Does 10 divide z? True Suppose -5*z - 181 - 161 = 4*p, 0 = 5*z + p + 333. Let k = z + 71. Does 5 divide k? True Suppose -8 = -4*q - x, 0*q + 31 = 5*q - 4*x. Is 14 a factor of q + 1 + (-72)/(-3)? True Suppose -b = 5*j - 1 - 21, -3*b = 5*j - 26. Let v(c) = -c. Let z be v(-7). Suppose 4*p - b*l - 278 = 0, -5*p = z*l - 2*l - 340. Is p a multiple of 11? False Let z be (-712)/(-16) + -1 + 3/2. Suppose 2*b = 3*d - 294, 2*d - z = 4*b + 143. Does 12 divide d? False Let h(r) = -r**2 + 64*r - 636. Is h(42) a multiple of 6? True Let b(m) = -m**2 + 6. Let u be b(0). Suppose u - 2 = 2*g. Suppose -2*t + 324 = g*t. Is 18 a factor of t? False Let b be 8/40 + 177/15. Suppose -b = -4*h, -3*s - s - 2*h + 314 = 0. Does 7 divide s? True Let r(p) = 15*p**2 + 2. Let h be r(-1). Let x = 41 - h. Does 4 divide x? True Let u = 10 - 4. Suppose 5 = 7*y - u*y. Suppose -26 - 139 = -y*o. Is 14 a factor of o? False Let p(c) = -2*c**3 + 32*c**2 - 9*c - 10. Is p(14) a multiple of 36? True Suppose 10 - 2 = 4*z. Suppose -z = g - 118. Does 29 divide g? True Suppose -16 = -m + 3*o - 5, -4*o = -3*m + 18. Suppose -y + 4 = 0, m*y = -5*b - 173 + 701. Does 10 divide b? False Let w = -198 - -582. Is w a multiple of 12? True Let h = 29 + 35. Suppose -4*l + 112 = -h. Is 11 a factor of l? True Let y(k) = 7*k - 5. Let w(c) = -c - 25 - c + 23 + 6*c. Let b(p) = 14*w(p) - 6*y(p). Does 22 divide b(3)? True Let y(l) = -l**2 + 21*l - 2. Let u be y(18). Suppose r + 89 = 5*c + 2*r, 3*c - u = -2*r. Is c a multiple of 18? True Let t(o) = o**3 + 12*o**2 + 18*o + 35. Suppose -n - 194 + 184 = 0. Is t(n) a multiple of 5? True Let t(l) = l**3 + 2*l**2 - 8*l - 4. Let j be t(-4). Is 5 a factor of (4/j)/1 + 23? False Suppose -20 = -4*i + 3*f - 7, 0 = 3*i + 4*f - 41. Let g = i - 2. Suppose n + 89 = d + 11, g = -5*n. Is d a multiple of 23? False Let o(x) = 504*x**3 - 7*x + 14. Is o(2) a multiple of 14? True Is 29 a factor of (-2 - 14)/((-30)/7065)? False Suppose 3*r = 3*h, 5*h = -0*r + 3*r + 6. Let z(j) = -j - 2*j + h - j. Is z(-6) a multiple of 9? True Let q = 3316 + -2214. Does 19 divide q? True Let w = 149 + -149. Suppose n - 5*j - 145 = 0, -n + 4*j + w*j + 148 = 0. Is n a multiple of 10? True Let x = -2 + 9. Suppose -x*j + 75 = -6*j. Does 15 divide j? True Let r(c) be the first derivative of -7*c**2/2 + 20*c - 1. Is r(-15) a multiple of 18? False Let s(t) be the first derivative of t**4/24 + t**3/3 - t**2 + 5. Let d(j) be the second derivative of s(j). Is d(6) a multiple of 8? True Let g = 819 - 287. Does 38 divide g? Tr
{ "pile_set_name": "DM Mathematics" }
n + 11. Let d(q) = -u(q) + 6*v(q). What is 3*d(r) + 5*s(r)? r**2 + 2*r - 3 Let m(f) = 7*f**3 - 2*f**2 - 4*f - 11. Let l(x) = -15*x**3 + 5*x**2 + 9*x + 23. Calculate 4*l(p) + 9*m(p). 3*p**3 + 2*p**2 - 7 Let y(j) = -67*j. Let g(u) = 68*u. What is 4*g(t) + 5*y(t)? -63*t Let p(l) = -3*l**2 - 17*l - 7. Let j(o) = 15*o**2 + 84*o + 33. Let h(g) = -5*j(g) - 24*p(g). Let y(q) = -q**2 - 4*q + 1. What is -2*h(k) + 7*y(k)? -k**2 - 4*k + 1 Let a(s) = 7*s**3 - 4*s**2 - 7*s + 5. Let i(o) = o**3 - 12*o**2 + 21*o - 16. Let r be i(10). Let u(z) = 8*z**3 - 5*z**2 - 8*z + 6. Determine r*a(b) + 5*u(b). -2*b**3 - b**2 + 2*b Let m(x) = x + 1. Let f(u) be the second derivative of -u**4/4 - 2*u**3 - u**2/2 + 3*u. Let t be f(-4). Let j(a) = 3*a + 5. Calculate t*j(y) + 5*m(y). 2*y Let n(d) be the second derivative of d**3/6 + d**2/2 - 266*d. Let g(o) = -o + 1. Calculate 4*g(q) - 4*n(q). -8*q Let t(u) = -2*u**2 + 6*u. Suppose 15*p + 28 - 43 = 0. Let f(m) = -m**2 + m. Calculate p*t(h) - 6*f(h). 4*h**2 Let x(r) = r**3 + 3*r**2 - 4*r. Suppose 4*w + 64 = -0*w. Let z = -10 - w. Let c(l) = 6489 - 6489 - 2*l**2 - l**3 + 3*l. Give z*c(a) + 4*x(a). -2*a**3 + 2*a Let u(s) = 2*s + 8. Let f(i) = 8 - 4 - 3 + 2 + 5 + 3*i. Determine -3*f(l) + 4*u(l). -l + 8 Let d(f) = -5*f + 16. Let j(h) = -h + 3. Suppose -4*u = 146 + 314. Let k = -137 - u. Calculate k*j(w) + 4*d(w). 2*w - 2 Let o(g) = -2254*g - 14. Let j(p) = -451*p - 3. Calculate -14*j(k) + 3*o(k). -448*k Let w(a) = -13*a**2. Let d(t) = 7*t**2. Let p(m) = 12*m + 46. Let h be p(-4). Calculate h*w(q) - 5*d(q). -9*q**2 Let y(z) = -15*z**3 - 13*z**2 - 11*z. Suppose 0 = -37*g + 33*g - 24. Let p(h) = -7*h**3 - 6*h**2 - 5*h. Determine g*y(n) + 13*p(n). -n**3 + n Let b be -5*(0 + -7 + 8). Let h(t) = -7*t - 5. Let d(g) = -22*g - 16. Calculate b*d(a) + 16*h(a). -2*a Let x(k) = -5*k + 5. Let v be (-16 + 11)*(0 + (-4)/10). Suppose -v*g - 15 + 7 = 0. Let j(f) = -4*f + 4. Give g*j(a) + 3*x(a). a - 1 Let f(z) = 7*z - 6. Let o(u) = -u + 1. Let q(k) = -f(k) - 6*o(k). Let r(m) = -45*m + 12*m - 1 + 28*m. Determine -2*q(h) + r(h). -3*h - 1 Let f(x) = 1192*x + 8349. Let u be f(-7). Let l(o) = -o**3 - 5*o**2 - 2*o - 1. Let k(t) = -2*t**3 - 8*t**2 - 3*t - 2. Let c = 1 - 9. Determine c*l(y) + u*k(y). -2*y**3 + y - 2 Let j(o) = 187*o**2 + 6*o - 7. Let i(p) = 371*p**2 + 11*p - 13. Give 6*i(b) - 11*j(b). 169*b**2 - 1 Let c(s) = -2*s**2 + s - 22. Let r(p) = p**3 - p - 1. What is -c(x) - r(x)? -x**3 + 2*x**2 + 23 Suppose 4*n - h + 2*h = 22, 5*h = 3*n - 28. Suppose t + n*t = 70. Let b = 12 - t. Let z(q) = -4*q**2 + 1. Let p(r) = -r**2 - 1. Determine b*p(x) - z(x). 2*x**2 - 3 Let r be (7 - 6)*(-2 - -5). Let s(u) = -5*u + 12*u**3 - 28*u**3 - 6 + 2*u**r + 11*u**2. Let q(a) = 5*a**3 - 4*a**2 + 2*a + 2. Give 11*q(f) + 4*s(f). -f**3 + 2*f - 2 Let m(o) = 3*o + o**2 + 2*o - 4*o. Let j(t) = t. Suppose -237 = 8*r - 245. Determine r*j(i) - m(i). -i**2 Let n(s) = -12*s**2 + 8*s + 3. Let o(a) = a**2 - a - 1. Let g(w) = n(w) + 5*o(w). Let z(f) = 4*f**2 - 2*f + 1. Give -3*g(q) - 5*z(q). q**2 + q + 1 Let y(h) = -141*h - 28. Let r(t) = 47*t + 10. Give -8*r(p) - 3*y(p). 47*p + 4 Let i(f) = 9*f**2 + 2*f - 8. Let j(d) = d**2 + 53*d - 169. Let w be j(3). Let k(c) = -c**2 + 1. Calculate w*i(r) - 6*k(r). -3*r**2 - 2*r + 2 Let z(b) = -2. Let n(y) = y**3 + 6*y**2 - 9*y - 14. Let m be n(-7). Let h(w) = m*w + 5*w - 2*w + 10 - 2*w. Calculate 2*h(q) + 11*z(q). 2*q - 2 Let v(m) = -5*m - 5. Let x(c) = c + 1. Let l(b) = -b - 1. Let g(r) = -2*l(r) - x(r). What is -9*g(i) - 2*v(i)? i + 1 Let i(p) = p**3 - p. Let n(a) be the first derivative of -3*a**4/4 - a**3/3 + a**2 + 68. Calculate -4*i(r) - n(r). -r**3 + r**2 + 2*r Suppose -4*z = x - 9, 3*z + 3 = 3*x - 9. Let s(b) = b + 1. Let v(u) = -6*u**2 + 3*u + 1. Determine z*v(y) - 3*s(y). -6*y**2 - 2 Let g(y) = 19*y. Let z(c) = -c**2. Calculate -3*g(m) - 6*z(m). 6*m**2 - 57*m Let g(m) = -m - 1. Let u(k) = -3*k**2 - 7*k - 3. What is -5*g(j) + u(j)? -3*j**2 - 2*j + 2 Let u(q) = 3*q**2 + 7*q - 5. Let k(a) = 4*a**2 + 10*a - 7. Let t(c) = c**2 - 8*c - 14. Let n be t(9). Give n*k(z) + 7*u(z). z**2 - z Let y(u) = u**3 - u**2 - u. Let b(z) = 3*z**3 - z**2 - z. Suppose 25*i = -3*i - 168. Calculate i*b(x) + 6*y(x). -12*x**3 Let h(f) = 7*f**2 - 9*f**2 + 0*f**2 + 44 - 38 + 2*f. Let t(d) = 4*d**2 - 4*d - 13. Calculate 13*h(n) + 6*t(n). -2*n**2 + 2*n Let t(u) = 32*u - 1. Let r(g) = -35*g + 1. Calculate -4*r(v) - 5*t(v). -20*v + 1 Let s(h) = 2*h**2 + 2*h - 3. Let x be 2/(-8)*1 - 377/(-52). Let v(n) = -8*n + 5*n + 3*n**2 - 5 + x*n. Give 5*s(w) - 3*v(w). w**2 - 2*w Let x(q) = 213239*q**3 + 2443*q + 7329. Let b(w) = 349*w**3 + 4*w + 12. Give -2443*b(u) + 4*x(u). 349*u**3 Let p(z) = -19*z + 9. Let t(h) = 455*h - 905*h - 5 + 459*h. Determine -4*p(n) - 7*t(n). 13*n - 1 Let o(y) = -1121 + 2216 - 1014 - 81*y. Let h(u) = 5*u - 5. Determine 33*h(g) + 2*o(g). 3*g - 3 Let h(j) = j**3 + 261*j**2 - 6*j + 18. Let y(z) = 52*z**2 - z + 3. Calculate -2*h(r) + 11*y(r). -2*r**3 + 50*r**2 + r - 3 Let f(q) = 2*q + 6. Let m(y) = -y**2 - 5*y - 11. Calculate -7*f(a) - 3*m(a). 3*a**2 + a - 9 Let o(p) = 3*p - 11 - 10 + 12 + 3 - p**3. Let l(i) = 4*i**3 - 13*i + 25. Give -2*l(h) - 9*o(h). h**3 - h + 4 Let s(q) = 11*q - 11. Let v(g) = 6*g - 6. Suppose 0 = 36*p - 32*p - 28. What is p*v(x) - 4*s(x)? -2*x + 2 Let d(t) = t**2 + t - 1. Let x(n) = 38*n**2. Give -d(q) + x(q). 37*q**2 - q + 1 Let z(b) = -15*b**2 - 5 + 40*b**3 - 43 + 19*b**2 + 44*b**2. Let t(f) = f**3 + f**2 - 1. Give -48*t(a) + z(a). -8*a**3 Let m(j) = 13*j**3 - j**2 + 3. Let x(k) = -25*k**3 + k**2 - k - 5. Calculate 5*m(r) + 3*x(r). -10*r**3 - 2*r**2 - 3*r Let h(u) be the second derivative of u**3/2 + u**2 + u. Let a(q) = 7 - 2 + 2*q - 1 - 3. Give 8*a(z) - 5*h(z). z - 2 Let s(z) = -7*z**3 - 3*z**2 - 8*z - 36. Let u(r) = -6*r**3 - 2*r**2 - 6*r - 36. Determine -3*s(l) + 4*u(l). -3*l**3 + l**2 - 36 Let g(k) = -5*k - 1. Let r(d) = -d - 1. Let s be 1 + 0/(4 - 3). Determine s*r(u) - g(u). 4*u Let p(n) = -8*n**2 + 1. Let z(k) be the first derivative of 3 + 7/3*k**3 - k + 0*k**2. Suppose -86*r + 18 = -83*r. Determine r*z(c) + 5*p(c). 2*c**2 - 1 Let q(i) = 3*i**2 + 14*i + 17. Let l be q(-3). Let b(k) be the first derivative of 2*k**2 - k + 1. Let g(a) = 3*a - 3*a - a. Give l*b(s) + 7*g(s). s - 2 Let l(z) = z**2 + 41*z + 17. Let h(s) = s**2 + 21*s + 10. What is -5*h(o) + 3*l(o)? -2*o**2 + 18*o + 1 Let h(w) = 10*w**2 - 5*w + 5. Let u(r) = r**2 - 4*r. Let v(n) = -2*n**2 - n - 1. Let z(x) = -u(x) + 2*v(x). Give -2*h(q) - 5*z(q). 5*q**2 Let i(r) = 7*r**3 + r**2 + 3*r - 5. Let j(a) = -a**2 - 8*a - 4. Let u be j(-6). Let b(w) = -11*w**3 - 2*w**2 - 5*w + 8. Determine u*i(m) + 5*b(m). m**3 - 2*m**2 - m Let r(g) = -4*g + 2 + 2*g - 5 + 2. Let k(b) = 3*b + 1. Suppose 3*z + 54 = 3*j + 6*z, -5*z = -5*j + 130. Let p = 19 - j. What is p*k(l) - 4*r(l)? -l + 1 Let j = -87 + 108. Let k(s) = 6*s + 21. Let p(l) = l + 4. Determine j*p(q) - 4*k(q). -3*q Let m(u) = u - 1. Let y(k) = 15*k - 3. Let w(d) = 8*d - 1. Let p(j) = -5*w(j) + 2*y(j). Give m(c) - p(c). 11*c Let y(q) = -903*q**2 - 5. Let d(l) = -567536*l**2 - 3143. What is -5*d(h) + 3143*y(h)? -449*h**2 Suppose 2*u - 42 = -60. Let p(h) = -7*h**2 - 2*h - 2. Let v(w) = 27*w**2 + 9*w + 9. Determine u*p(g) - 2*v(g). 9*g**2 Let n = -1 + 3. Let l be -1*(-1)/n*10. Let r = 8 - l. Let g(b) = 6*b + 3. Let y(k) = 5*k + 2. Calculate r*g(z) - 4*y(z). -2*z + 1 Let v(g) = -7*g - 2. Let r(d) = -d + 3. Let t be r(5). Let n be 6/4*(2 - t). Let s(l) be the first derivative of -l**2/2 + 412. Determine n*s(w) - v(w). w + 2 Let v(a) = 7*a + 6. Let i(q) = -6*q**3. Let d be i(-1). Let c(y) be the second derivative of 2*y**3/3 + 3*y**2/2 + 3*y. Determine d*v(o) - 11*c(o). -2*o + 3 Suppose -27 + 112 = 5*o. Let v(f) = -f**2 + 4*f - 6. Let c be v(5). Let d = o + c. Let p(m) = 3*m - 7. Let y(h) = 4*h - 8. What is d*p(x) - 5*y(x)? -2*x - 2 Let p be 2/(-7) - 336/(-147). Let y(r) = 4*r**2 - r - 1. Let f(m) = m**2 + m + 1. What is p*f(g) + 2*y(g)? 10*g**2 Let c(h) = -49*h - 173. Let z(d) = 59*d + 172. Calculate -6*c(o) - 5*z(o). -o + 178 Let k(b) = -153*b**3 + 3*b**2 + 4*b - 12. Let u(m) = -305*m**3 + 5*m**2 + 7*m - 21. Give 7*k(t) - 4*u(t). 149*t**3 + t**2 Let z(m) = m. Let o(u) = -2*u + 2. Suppose -88*i + 100 - 12 = 0. Suppose -2*b + 7 = 3
{ "pile_set_name": "DM Mathematics" }
21? 7 What is -315468 divided by -92? 3429 Calculate -133 divided by -1053. 133/1053 Divide -1161 by 15. -387/5 Divide 294691 by 61. 4831 What is 89880 divided by -60? -1498 Calculate 1 divided by -202829. -1/202829 9 divided by 83896 9/83896 What is 196 divided by -719? -196/719 -878972 divided by -74 11878 -1 divided by 1206 -1/1206 Calculate 0 divided by 22406. 0 Divide -648410 by 10. -64841 Calculate -22 divided by -23. 22/23 -417 divided by 173 -417/173 Calculate -980 divided by -2. 490 Divide -17 by -18022. 17/18022 What is 3593395 divided by -12181? -295 Divide 2928032 by -79136. -37 Calculate 509347 divided by 89. 5723 1 divided by -36479 -1/36479 3536 divided by 34 104 Calculate 7931 divided by 77. 103 Divide -4 by -26545. 4/26545 Calculate -13 divided by -305711. 13/305711 -3 divided by -172225 3/172225 What is 111684 divided by -4? -27921 4 divided by -37727 -4/37727 Calculate 468785 divided by 8845. 53 576 divided by 1709 576/1709 Divide 7518 by 271. 7518/271 170831 divided by -3 -170831/3 What is 2279968 divided by -32? -71249 Divide 37 by -19738. -37/19738 -219348 divided by -54837 4 Calculate 644 divided by 25. 644/25 What is -5620 divided by -1? 5620 -2810 divided by 2 -1405 What is -818670 divided by -5? 163734 30741 divided by -1 -30741 What is 3 divided by 75532? 3/75532 Calculate 4471 divided by -65. -4471/65 What is -4 divided by -497356? 1/124339 Divide 982345 by -75565. -13 What is -401691 divided by 771? -521 87151 divided by 1 87151 Divide 31882 by -38. -839 -2850 divided by -19 150 Divide 25964 by 9. 25964/9 246442 divided by 406 607 Divide -19314 by -261. 74 2078760 divided by -4076 -510 Divide 231800 by -57950. -4 Divide 38880 by 81. 480 Divide -5235195 by 5. -1047039 Divide -11319 by -7. 1617 18900 divided by -6300 -3 Divide 56 by -114. -28/57 What is -58500 divided by -45? 1300 Divide 18549 by -229. -81 Divide -1970 by 7. -1970/7 Divide 45321 by -6. -15107/2 1 divided by -317739 -1/317739 Calculate 11285 divided by -38. -11285/38 Calculate -997 divided by 1. -997 What is -984545 divided by 6? -984545/6 Calculate -43437 divided by 5. -43437/5 What is -82250 divided by 16450? -5 Calculate 27 divided by 3657. 9/1219 Calculate 78300 divided by 174. 450 320699 divided by 1 320699 -1044450 divided by 6 -174075 -10439 divided by -36 10439/36 Calculate -8034 divided by 2. -4017 Calculate 11 divided by -1393. -11/1393 Calculate 260431 divided by 1. 260431 31453 divided by 1 31453 Divide -1 by -43410. 1/43410 What is 2 divided by 49974? 1/24987 Calculate 990503 divided by -990503. -1 Calculate 2576 divided by 719. 2576/719 -155617 divided by -11 14147 What is 784886 divided by 6? 392443/3 -1041 divided by 28 -1041/28 -1 divided by -91310 1/91310 280 divided by -1387 -280/1387 What is 610207 divided by 8359? 73 What is -16358 divided by 123? -16358/123 Divide 35 by -753. -35/753 740906 divided by 2 370453 -1 divided by 15318 -1/15318 What is 2 divided by 559? 2/559 Divide 80648 by -8. -10081 Divide 330 by 90. 11/3 Divide 1 by 6716. 1/6716 Calculate -503412 divided by -52. 9681 Divide 599150 by 119830. 5 Calculate 150 divided by 1. 150 What is 66312 divided by 6? 11052 6149014 divided by 3 6149014/3 Calculate -4140 divided by -10. 414 Calculate 4 divided by -8544. -1/2136 Calculate -1384104 divided by -346026. 4 -117 divided by -934 117/934 Calculate 89078 divided by -8098. -11 What is 48840 divided by 10? 4884 Calculate 963 divided by -866. -963/866 What is -7071162 divided by 16293? -434 What is 62880 divided by 80? 786 Divide 106 by 34171. 106/34171 Divide -3 by -138610. 3/138610 Calculate -43428 divided by -1316. 33 -22911 divided by 7 -3273 -2136960 divided by -20352 105 What is -9345 divided by -9345? 1 -5658 divided by 55 -5658/55 Calculate 384159 divided by -1. -384159 Divide -90244 by -1. 90244 What is 23 divided by -19013? -23/19013 Calculate 1224381 divided by 3. 408127 What is 77104 divided by -158? -488 Divide 4 by -11665. -4/11665 -1011285 divided by 1 -1011285 39548 divided by 4 9887 What is 63096 divided by -12? -5258 2531 divided by 168 2531/168 Divide -1 by -20331. 1/20331 Calculate -1960797 divided by -653599. 3 Divide 44564 by -13. -3428 -1267872 divided by -6 211312 Divide -81346 by -21. 81346/21 Divide -724418 by 562. -1289 Divide 30510 by 1017. 30 What is -2235330 divided by -5? 447066 What is 0 divided by -21527? 0 -2 divided by -326856 1/163428 What is 329866 divided by -4646? -71 Divide 9140 by 35. 1828/7 Calculate 11810 divided by 5905. 2 Calculate 245080 divided by -122540. -2 What is 1173782 divided by 34523? 34 What is 292026 divided by -5726? -51 233 divided by 8929 233/8929 Calculate -35160 divided by 40. -879 Calculate 1026 divided by -9. -114 What is 22968 divided by -7656? -3 What is -131539 divided by -33? 131539/33 Calculate -2 divided by -161042. 1/80521 What is 13 divided by 658? 13/658 383140 divided by -2 -191570 Calculate 640752 divided by 42. 15256 -7814430 divided by 1562886 -5 Divide 5 by 97395. 1/19479 What is -23484 divided by 309? -76 What is 1254162 divided by -42? -29861 Calculate -6888 divided by 123. -56 1029 divided by -1 -1029 What is 7 divided by -2864? -7/2864 -13294 divided by 261 -13294/261 Divide 114410 by -11441. -10 -14 divided by 123651 -14/123651 Calculate -106560 divided by -592. 180 Divide 211760 by -4. -52940 What is 1 divided by 45576? 1/45576 -9540 divided by 3180 -3 What is 368852 divided by -2? -184426 Divide 3075 by -15. -205 What is 19 divided by -8895? -19/8895 -605424 divided by -48 12613 163578 divided by 6 27263 What is -187750 divided by 751? -250 What is -1818 divided by 25? -1818/25 What is 694763 divided by -2? -694763/2 Calculate -247964 divided by -2. 123982 766800 divided by 4 191700 Calculate 17 divided by 1164. 17/1164 Divide -7839 by 13. -603 Calculate -54285 divided by 105. -517 Divide -26334 by -1254. 21 5418 divided by -6 -903 -180620 divided by -16420 11 Divide -27848 by 6. -13924/3 Calculate 239456 divided by -2. -119728 Divide -20768 by 4. -5192 Divide -1409 by 2016. -1409/2016 Calculate 17 divided by 1581. 1/93 Calculate -463926 divided by -2. 231963 Calculate -8 divided by -213242. 4/106621 Divide -367875 by -122625. 3 -55650 divided by 106 -525 Divide 4 by -8969. -4/8969 Divide -60064 by -32. 1877 54 divided by 3 18 Calculate 126830 divided by -25366. -5 Divide 32867500 by -5. -6573500 5 divided by -10012 -5/10012 What is -347833 divided by 5? -347833/5 Divide 54479 by -347. -157 20862 divided by 20862 1 Divide 376638 by 62773. 6 84519 divided by 28173 3 -189 divided by -974 189/974 What is -19200 divided by 4800? -4 What is -854 divided by -72? 427/36 Divide -177 by 954. -59/318 What is 6360 divided by -1? -6360 Calculate 5043 divided by 4. 5043/4 What is 0 divided by -30663? 0 -251018 divided by -3 251018/3 Divide -12 by 1777. -12/1777 What is 272328 divided by 90776? 3 8739 divided by 2 8739/2 What is -2547 divided by 9? -283 3 divided by -444669 -1/148223 45597 divided by 15199 3 -179802 divided by -29967 6 What is -876 divided by -7? 876/7 285112 divided by -314 -908 -671202 divided by 1 -671202 Calculate -6396 divided by -55. 6396/55 What is 982452 divided by -2? -491226 Divide -6391308 by 66. -96838 What is -729850 divided by -275? 2654 Divide 14950 by -10. -1495 What is 16 divided by -27525? -16/27525 What is -609210 divided by -315? 1934 What is 57080 divided by -40? -1427 Calculate -5 divided by -13533. 5/13533 Divide 6240 by 3. 2080 Divide -5 by 496554. -5/496554 Calculate -460281 divided by -4. 460281/4 What is 13049 divided by 24? 13049/24 Divide 17912 by -6. -8956/3 Divide 223603 by -7213. -31 What is 666 divided by -302? -333/151 -1 divided by -1140227 1/1140227 Divide 8 by -190242. -4/95121 Calculate 7 divided by 13831. 7/13831 Divide -40002 by 118. -339 Calculate 160 divided by -5. -32 What is 7035 divided by 7? 1005 Divide 181 by 815. 181/815 Calculate 314 divided by -175. -314/175 -58506 divided by -42 1393 -860967 divided by -286989 3 -86 divided by 179 -86/179 What is 35605 divided by -4? -35605/4 -52395 divided by -6 17465/2 Divide 2424538 by -45746. -53 Calculate 6456610 divided by -2. -3228305 Calculate 4164 divided by -35. -4164/35 Divide -6708 by 1. -6708 0 divided by -124193 0 What is -1327 divided by
{ "pile_set_name": "DM Mathematics" }
ded by 12. 8 Calculate the remainder when 1586595 is divided by 385. 10 Calculate the remainder when 496351 is divided by 425. 376 What is the remainder when 4443948 is divided by 87136? 12 Calculate the remainder when 419901 is divided by 29954. 545 What is the remainder when 353894 is divided by 29491? 2 Calculate the remainder when 249032 is divided by 82985. 77 Calculate the remainder when 2094161 is divided by 77561. 14 What is the remainder when 34239 is divided by 928? 831 What is the remainder when 680660 is divided by 516? 56 Calculate the remainder when 950705 is divided by 950700. 5 What is the remainder when 54594 is divided by 8516? 3498 What is the remainder when 17710127 is divided by 376811? 10 Calculate the remainder when 118972383 is divided by 362. 359 What is the remainder when 54900947 is divided by 749? 745 Calculate the remainder when 248114 is divided by 743. 695 Calculate the remainder when 92995569 is divided by 74. 65 What is the remainder when 45600 is divided by 5655? 360 What is the remainder when 10673782 is divided by 3557791? 409 Calculate the remainder when 108221 is divided by 3861. 113 Calculate the remainder when 35222512 is divided by 24125. 12 What is the remainder when 318793 is divided by 2578? 1699 What is the remainder when 2372298 is divided by 839? 445 What is the remainder when 3007180 is divided by 2036? 8 What is the remainder when 167028 is divided by 16687? 158 Calculate the remainder when 13687578 is divided by 31. 24 Calculate the remainder when 19423234 is divided by 393. 388 Calculate the remainder when 1944985 is divided by 597. 556 Calculate the remainder when 783771 is divided by 1240. 91 What is the remainder when 18185539 is divided by 485? 464 Calculate the remainder when 146019 is divided by 54. 3 What is the remainder when 132812 is divided by 26554? 42 What is the remainder when 17730088 is divided by 3851? 84 What is the remainder when 362823 is divided by 268? 219 Calculate the remainder when 7561998 is divided by 1260326. 42 Calculate the remainder when 2708537 is divided by 3. 2 What is the remainder when 330579 is divided by 2543? 2532 Calculate the remainder when 48025533 is divided by 1067234. 3 What is the remainder when 733193 is divided by 8830? 303 What is the remainder when 37671716 is divided by 37671648? 68 Calculate the remainder when 499678 is divided by 4235. 4183 Calculate the remainder when 7187426 is divided by 55. 26 Calculate the remainder when 660603 is divided by 19429. 17 Calculate the remainder when 102559305 is divided by 42. 9 What is the remainder when 94786859 is divided by 60? 59 What is the remainder when 147800469 is divided by 438? 435 Calculate the remainder when 189225242 is divided by 26. 24 Calculate the remainder when 10535 is divided by 10121. 414 What is the remainder when 256081603 is divided by 103? 16 What is the remainder when 57833336 is divided by 1019? 1010 Calculate the remainder when 185807 is divided by 1201. 853 What is the remainder when 2569466 is divided by 564? 446 What is the remainder when 6096827 is divided by 1984? 1979 Calculate the remainder when 583273 is divided by 11212. 249 What is the remainder when 1208206 is divided by 1125? 1081 What is the remainder when 63587436 is divided by 163? 158 Calculate the remainder when 706974 is divided by 37190. 364 Calculate the remainder when 95766 is divided by 31427. 1485 Calculate the remainder when 2590 is divided by 2584. 6 What is the remainder when 369280 is divided by 105? 100 What is the remainder when 804629 is divided by 87? 53 What is the remainder when 1040880 is divided by 55? 5 What is the remainder when 4230374 is divided by 1112? 326 What is the remainder when 344690 is divided by 76? 30 What is the remainder when 4922943 is divided by 97? 96 What is the remainder when 9692359 is divided by 170037? 250 What is the remainder when 11744709 is divided by 106770? 9 Calculate the remainder when 12566013 is divided by 5454. 5451 Calculate the remainder when 3108648 is divided by 2701. 2498 Calculate the remainder when 108136 is divided by 53853. 430 Calculate the remainder when 4644 is divided by 3927. 717 Calculate the remainder when 27295864 is divided by 65. 24 Calculate the remainder when 66167 is divided by 1400. 367 What is the remainder when 309729 is divided by 580? 9 What is the remainder when 218094 is divided by 109041? 12 Calculate the remainder when 9587862 is divided by 105. 102 Calculate the remainder when 452943 is divided by 11917. 97 Calculate the remainder when 2465200 is divided by 309. 307 What is the remainder when 636238 is divided by 102? 64 What is the remainder when 11290184 is divided by 27? 26 Calculate the remainder when 34514 is divided by 5748. 26 What is the remainder when 1730606 is divided by 922? 12 What is the remainder when 45858847 is divided by 1616? 1615 Calculate the remainder when 1308764 is divided by 654382. 0 What is the remainder when 219577 is divided by 87? 76 What is the remainder when 5393356 is divided by 620? 596 Calculate the remainder when 6225 is divided by 2850. 525 What is the remainder when 1682111 is divided by 1869? 11 What is the remainder when 85121532 is divided by 61? 58 What is the remainder when 311915 is divided by 233? 161 What is the remainder when 2011861 is divided by 121? 115 What is the remainder when 162438 is divided by 3598? 528 What is the remainder when 189161 is divided by 189122? 39 What is the remainder when 90766 is divided by 547? 511 What is the remainder when 45146420 is divided by 9686? 9660 Calculate the remainder when 1544590 is divided by 308918. 0 What is the remainder when 87850850 is divided by 839? 838 What is the remainder when 73527475 is divided by 436? 435 Calculate the remainder when 1180745 is divided by 13119. 35 Calculate the remainder when 17318748 is divided by 88. 84 Calculate the remainder when 66643999 is divided by 154986. 19 Calculate the remainder when 18263866 is divided by 178. 176 What is the remainder when 528303 is divided by 244? 43 Calculate the remainder when 4829 is divided by 726. 473 What is the remainder when 855335 is divided by 113? 38 What is the remainder when 3606545 is divided by 6144? 17 Calculate the remainder when 79977 is divided by 2842. 401 Calculate the remainder when 35402 is divided by 3030. 2072 Calculate the remainder when 356663 is divided by 301. 279 What is the remainder when 9668842 is divided by 30501? 25 Calculate the remainder when 881633 is divided by 1036. 1033 What is the remainder when 67320512 is divided by 79? 30 Calculate the remainder when 93954918 is divided by 20. 18 What is the remainder when 13202182 is divided by 1761? 1726 What is the remainder when 6185791 is divided by 333? 316 Calculate the remainder when 411815 is divided by 1332. 227 What is the remainder when 1576110 is divided by 600? 510 Calculate the remainder when 1274488 is divided by 128. 120 What is the remainder when 21476158 is divided by 320? 318 Calculate the remainder when 460228 is divided by 14846. 2 What is the remainder when 15609299 is divided by 975579? 35 What is the remainder when 4016733 is divided by 54? 51 Calculate the remainder when 13900018 is divided by 136. 2 Calculate the remainder when 67773285 is divided by 241. 229 Calculate the remainder when 875120 is divided by 1022. 288 Calculate the remainder when 795984 is divided by 397974. 36 Calculate the remainder when 410573 is divided by 58590. 443 What is the remainder when 861427 is divided by 143281? 1741 Calculate the remainder when 315860323 is divided by 1261. 1260 Calculate the remainder when 15420072 is divided by 27. 21 Calculate the remainder when 44010949 is divided by 3. 1 What is the remainder when 107366 is divided by 74? 66 Calculate the remainder when 772724 is divided by 616. 260 Calculate the remainder when 16629029 is divided by 519657. 5 What is the remainder when 19837094 is divided by 118? 114 What is the remainder when 3069689 is divided by 38371? 9 What is the remainder when 1101950 is divided by 28998? 26 Calculate the remainder when 2595686 is divided by 879. 878 What is the remainder when 1959725 is divided by 178155? 20 Calculate the remainder when
{ "pile_set_name": "DM Mathematics" }
uppose 2*z = 5*v - 30, -v = v - 3*z - 1. Let g = v + -2. Solve k - u = -4 - g, -k - 5*u = -20 for k. -5 Let l(n) = 7*n**2 - n - 1. Let d be l(2). Suppose 3*h + d - 61 = 0. Solve 3*t = t - 5*p, -2*t = -p + h for t. -5 Let h be 0 - (2 + -2) - -1. Let r be 20 + h/((-1)/(-2)). Solve -4*m - r = 2*v - 52, 0 = -3*v + 3*m for v. 5 Suppose -g - 4*g = -20. Suppose 4*w - 26 = -2*z, -w - g*z + 10 = w. Solve 0 = 2*v - w*v - 5*p + 40, -2*v - p = -13 for v. 5 Let r be ((-4)/(-5))/(2/(-15)). Let j = -4 - r. Solve j*o - 3*t + 14 = 2*t, 5*t - 2 = -4*o for o. -2 Let q be (-3 + 3 + -1)*-7. Solve 0 = -3*j - 5*m - 4 + 9, 3*j + 2*m + q = 0 for j. -5 Let f(d) = d**2 - 10*d - 22. Let c be f(12). Solve i + 2*j = 3, c*i - 2*j = 5*i - 5 for i. 1 Let a = 3 + -5. Let r be 2 + (-6)/a*1. Solve 2*p - 3*x + 11 = p, -r*x + 17 = -3*p for p. 1 Suppose -28*w + 27*w + 4 = 0. Solve 4*r = 5*z - 0*r - 14, -w*z + 4*r + 12 = 0 for z. 2 Suppose -14 = -d - d - 4*l, 3*l = d + 3. Solve -g = o - d, -2*g + o + 13 = -4*o for g. 4 Let m(k) = -2*k**3 + 4*k + 3. Let b be m(-2). Let i = 12 - b. Solve 0*z + j = -2*z + 2, j = z - i for z. 1 Suppose 0 = -5*m + 2 - 32. Let t = m - -8. Solve t*a = o - 4, -2*a + a = -o + 4 for o. 4 Suppose -4*g + 5 = -3. Let y be g/2*42/(-7). Let q be (-4 - 1)*y/10. Solve q*s = f - 4 - 1, 10 = -4*f - 3*s for f. -1 Let n = 18 + -7. Let f = 4 + 6. Let u be (-15)/f*(-10)/3. Solve -2*b - 2*b + n = 3*t, -4*b = 5*t - u for t. -3 Suppose -2*h + 2*i = -74, -h - h + i + 70 = 0. Let a be 1/2 + h/(-6). Let o = a - -5. Solve 4*g + o*y - 2*y = -16, 0 = -4*g - 4*y + 8 for g. -2 Suppose -6*k - 2 = -4*k. Let n be 0 + (-9 - k) - 1. Let r(s) = -s - 4. Let a be r(n). Solve -a*z + 10 = 4*d, -d = -3*z - 7 - 4 for d. 5 Suppose 2*t - 5*u - 4 = -25, -5*u = -5*t - 15. Solve -2*r + 3 = -t*k + k, 0 = 4*k + 4*r - 36 for k. 5 Let v be (-8)/(-12) - (-20)/6. Solve 5 + 3 = v*y + 3*x, -2*y - 2*x = -4 for y. 2 Suppose -i = 4*i + 20. Let r be (i/6)/(1/(-3)). Suppose r = -v + 2*v. Solve 4*o - 4 = -2*p, 3 = -p - v*p + 3*o for p. 0 Suppose 5*m - 42 = -17. Solve 0 = t + l + 8, -4*l - 27 = m*t - 2*t for t. -5 Let t(k) = -1. Let q(v) = -4*v**2 + 2*v + 1. Let u(z) = -q(z) - 2*t(z). Let r be u(1). Let f = r - 0. Solve y - 23 = -4*a, -f*a = -a - 10 for y. 3 Let j be 6*(-2)/(-4) + -14 + 16. Solve -5*s - 2*n + j*n = 0, -s - 8 = n for s. -3 Suppose 2*m + m - 12 = 0. Suppose 5 + 15 = 4*l. Solve 3*h - 8 = l*f, 4*f + m*h + 20 = 3*f for f. -4 Suppose 0 = -3*v + 2 + 7. Suppose v*t - 70 = -2*t. Solve p + 0*p = -2*g, 4*g - 5*p - t = 0 for g. 1 Suppose -3*h = 0, 4*h + 12 = 6*v - 2*v. Let l be (26/(-6))/(v/(-9)). Suppose g - 5 = -4*t, -3*g + l = -t - 2. Solve t*o - 15 = -o - 5*i, -3*o - 3*i = -9 for o. 0 Suppose -3*b - 4 = -5*f, -3*b + 3 = 2*f - 7. Let d = -7 + 7. Let u = 3 + d. Solve -u*i = -2*w, 4*w + b*i + 8 = 4*i for w. -3 Let o(m) = 2*m + 15. Let b be o(-4). Solve -2*a = -3*i - 4, -5*i + 8 = -3*a + b*a for i. 0 Let a be ((-15)/(-6))/(1/2). Suppose 5*r - 3 = 12. Suppose -2*v = -h - 2*h + 52, -r*v + 10 = h. Solve -a*j = -3*y, j + h = 2*y + 3*j for y. 5 Let g = -3 - -11. Suppose -2*u + 4*c + g = 0, 0 = 3*u - 0*u - 5*c - 15. Suppose 8 = -2*o - 3*l, 4*l + 22 = 2*o + o. Solve -u = 5*n, -o*n - 9 = -0*t - 5*t for t. 1 Let i = -5 + 9. Solve -2*w - w + 5 = 4*n, i*w = -5*n + 6 for w. -1 Let v = 21 - 17. Solve -v*b - 8 = 2*u, -4*u - 3*b = -1 + 7 for u. 0 Let x(n) = 198 - n - 99 - 102 + n**2. Let g(h) = 4*h**3 - h**2 + h - 1. Let o be g(1). Let t be x(o). Solve 0 = v + 3*a - 7, -t*v = 6*a - a - 9 for v. -2 Let z(a) = -3*a**3 + 4*a**3 + 3 + 8*a - 7*a**2 - 2*a. Let q be z(6). Solve -4*l = 5*p + 2, -q*l = 3*p + 4 - 1 for p. 2 Let b(p) = -6*p**2 - p - 1. Let r(w) = -5*w**2 - w. Let k(h) = 4*b(h) - 5*r(h). Let c be k(-3). Solve -2*i + 4 = n, -n = i - c*i + 5 for n. -2 Suppose 8 = 5*y + 5*x - x, 3*x = -4*y + 6. Solve -3*a = y, 2*c = -0*c + 2*a + 2 for c. 1 Let x(z) be the second derivative of 2*z**3/3 - 2*z**2 - 6*z. Let o be x(7). Solve 0 = -0*n + 5*n + 4*g + o, 0 = 4*n - 2*g + 14 for n. -4 Let p be 22/6 - (-4)/12. Solve -2 + 10 = -2*c + 4*k, -p*c = -3*k + 1 for c. 2 Suppose a = 2*f + 10, 2*a + 4*f = 3*a - 16. Suppose -4*m - 8 = -4*v, -3*v + 7*m + a = 2*m. Solve -24 - v = -3*c - 3*x, -5*x = 3*c - 35 for c. 5 Let h be (-1 - -5) + (-9 - -7). Solve -20 = f - 5*f + 5*p, 8 = -h*p for f. 0 Suppose -9*m + 10*m - 2 = 0. Solve -z + t + 5 = 2*z, 2*t = -m*z + 14 for z. 3 Suppose 0*j + 5*j = 30. Let w = j - 3. Solve 4*l - x - 20 = -w*x, 3*x + 20 = 4*l for l. 5 Suppose 3*l = -l - 5*k - 15, l - 3*k - 9 = 0. Solve 3*y + 8*q = 3*q + 10, -y - 5*q = l for y. 5 Let k = -8 + 11. Solve -l - k*u = 8, -3*u = 3*l + 9 + 9 for l. -5 Let d(v) = 4*v**3 + v + 2 - 3*v**2 - v**3 - 2*v**3. Let s be d(3). Suppose 0 = -2*w - 2, n + w + 0*w + 1 = 0. Solve 0 = -s*i - 3*o - 14, n = -5*i + o - 2 for i. -1 Let j be (30/9 - 2)*-3. Let w = j + 10. Solve -k = -5*h + 22, -k + w = 2*h - 0 for h. 4 Suppose 39 = 5*f - 2*j, 0*f - 2*f + 5*j + 24 = 0. Solve -5*z = 5*c + 2 - f, -2*z + 4*c - 16 = 0 for z. -2 Let z(a) = -a**3 - 3*a**2 - 2*a - 1. Let d be z(-3). Solve -d*b + 3*u - 2*u = 1, -4*b = -5*u - 16 for b. -1 Let m be -2 - 2*(-21)/2. Let s = 23 - m. Solve 4*f = -5*d + 2*d + 11, -s*d = -2*f + 22 for d. -3 Let m = 39 - 35. Solve m*c + 11 = -z + 4*z, 5*z + 3*c + 1 = 0 for z. 1 Suppose -4*c - 2 = 3*y, 3*y + 0*y - 4*c = 38. Solve 3*f - u - 5 = 0, -3*f = 3*u - y - 15 for f. 3 Let m = -16 + 16. Solve 3*t + 2*h = m, 0 = 2*t + 2*t + 4*h for t. 0 Suppose 0*r - 2*r = -14. Solve 4*w = 5*m, 3*w = 3*m - m + r for m. 4 Let c(z) = -z**2 + 2*z. Let h be c(2). Let s be (h - (0 - 0))*-1. Suppose -3*l + 6 + 3 = -x, 5*l - 20 = s. Solve 3*n + 3*t = 6, -n + 2 = x*t - 4 for n. 0 Let k(h) = -2*h - 12. Let p(r) = -2*r - 12. Let n(v) = 3*k(v) - 2*p(v). Let t be n(-8). Suppose 0*o - t*o = 0. Solve 0 = 3*m - 9, 0 = u + 2*m - 2 - o for u. -4 Suppose 0*a + 9*a = 189. Solve -q - 5*y - a = 0, q - 9 = -4*y - 26 for q. -1 Suppose 5*p - 32 = 5*n + 3, -5*p + 19 = -n. Solve -3*j - 12 = 2*j + p*f, -3*j + 20 = -5*f for j. 0 Let u(q) = q**2 + 4*q - 2. Let f(c) = c - 2. Let o be f(-3). Let j be u(o). Let a be (-2)/(-6) - (-2)/(-6). Solve -i + 4*s + 7 = a, j*s = 5*i + 5*s - 13 for i. 3 Suppose w + 23 = 2*w. Suppose -5*f = 3 - w. Suppose -4*m - 3*z = 2*z - 26, -2*z + 16 = 3*m. Solve 5*c - 5*d = 0, 3*c + 3*d = m*d - f for c. -2 Suppose 3*z - 3 = 9. Let r be (6 - 0)/3 - z. Let w = 7 + r. Solve -2*d + 3*y + w + 7 = 0, d = -3*y - 12 for d. 0 Let t be (-42)/(-9) + (-2)/(-6). Solve 2*p + y = 14, t*y - 5 = -0*p + 3*p for p. 5 Let g(x) = x**3 + 3*x - 5*x**2 - 5 - 3*x**2 + 12. Let c be g(7). Let r = c - -46. Solve 4*s = 5*w + r, 0 = w - 3*s + 8 + 8 for w. -1 Suppose 0 = -2*o - 37 - 7. Let t = 37 + o. Let z = 8 - -28. Solve 2*n + 5*d - 11 = -z, t = -4*n - 3*d for n. 0 Let x be 126/2 - (-1)/1. Suppose 17 = 2*i - 2*k - 29, 4*i + 3*k - x = 0. Let v = 29 - i. Solve 5*o - v + 25 = 0, -o - 7 = 2*t for t. -2 Suppose 4*n - 2*f = 4, 5*n - 9*f + 11*f = 23. Solve -3*l + 0*l - n*u = 27, 15 = -5*l + u for l. -4 Let v(w) be the second derivative of 0 - w - 1/6*w**3 - 5/2*w**2. Let q be v(-7). Solve -3*i = -3*s - 6, q*s = -i - 1 - 0 for s. -1 Suppose 0 = d - 2*m - 1, 5*d + 0*m - 10 = 5*m. Solve -1 = -d*c + 3*x - 4, 0 = 5*x - 15 for c. 2 Suppose 5*o + 20 = 4*d, -3*o - 5 = -d - 0*d. Solve -q - g - 4 = o, -2*g + 20 = -5*q - 5*g for q. -4 Suppose -2*u = -0 - 10. Suppose 2*j - 20 = -3*j. Let g be (-1 - -1)*j/8. Solve -4*t = 8, -2*o + g*o = -u*t for o. -5 Let p = 3 + 2. Suppose -4*g = -2*w - 16, -4*g + p*w + 13 = -3. Suppose -g*n - o + 4*o + 25 = 0, 2*n - 5*o + 5 = 0. Solve -n = b + h + 2*h, 5*h = 2*b - 2 for b. -4 Suppose 5*w = 2*k + 20, -k + 6*k = -4*w + 16. Let u = 14 + -7. Solve w*g = -f + u, 0*f - 7 = -2*f - g for f. 3 Suppose 2*d = 7*d + 10. Let a be 84/(-10) - d/5. Let h be 26*2*(-2)/a. Solve n + 3*v = -0*n + h, -3*n = -4*v for n. 4 Suppose b = -4*w + 20, 5*b + w - 24 = -0*b. Solve -b*q + 9 = l - 2*l, -12 = -4*q for l. 3 Let l be (6/(-9))/2*-3. Suppose 3*f - l = 2*c - 20, -f + 2 = c. Solve -c*p + 16 + 4 = 5*a, 5*a - 14 = -2*p for a. 2 Suppose v - 3*v + 16 = 0. Let j(r) = r - 6. Let m be j(v). Suppose l - 14 = -0*l + 3*u, -4*u = -m*l + 22. Solve l*k + i - 22 = -0*k, 2*i - 19 = -5*k for k. 5 Suppose -99 = -2*f - f. Suppose 2*h = -5*i + 10, i - 5*
{ "pile_set_name": "DM Mathematics" }
of 0.1 and 57. 5.7 6 times 0.077 0.462 Product of -277 and -0.2. 55.4 Product of 0.2 and 185.2. 37.04 What is the product of 0.3 and -6.9? -2.07 Work out -66 * 0.3. -19.8 -0.32 times 191 -61.12 Calculate -9*-0.01. 0.09 271*0.3 81.3 Multiply 0.139 and -198. -27.522 What is the product of -1.3 and 3? -3.9 42 times -2 -84 0.266 * 0.2 0.0532 Work out -89 * -71. 6319 2.1 * -0.06 -0.126 What is 0 times -0.099? 0 0.1 * -0.019 -0.0019 -1.21*0.2 -0.242 -0.4*-0.017 0.0068 What is the product of -6.34 and -0.1? 0.634 Calculate 0.4*39. 15.6 Calculate 1.964*1. 1.964 Work out -0.01 * -3.3. 0.033 -27*133 -3591 Work out 0.031 * -0.5. -0.0155 Calculate 0.1*193. 19.3 Multiply 19 and -0.15. -2.85 Calculate 1322*-11. -14542 Product of -53 and 25. -1325 What is -0.3 times 0.1994? -0.05982 Work out 0.19 * 152. 28.88 -0.4 * 108.7 -43.48 0.1 times -0.017 -0.0017 5 * 354 1770 -247 * 0.5 -123.5 Work out 8002 * 2. 16004 Product of -3 and -0.842. 2.526 Calculate 1*2.3. 2.3 Work out -294.8 * -1. 294.8 2.2*-6 -13.2 Multiply 632 and -0.5. -316 -5 * -86.09 430.45 1.6 * -9.9 -15.84 What is 4 times 1048? 4192 11*87 957 Product of -2 and -21. 42 Multiply -426 and 2. -852 Multiply 2 and -0.02. -0.04 What is -191 times -2? 382 Multiply -2 and -13.2. 26.4 Product of 155 and -0.3. -46.5 Calculate 2.2*3. 6.6 0.5 * 206 103 Multiply -2098.4 and 5. -10492 -5.1 times 5 -25.5 What is 1 times -0.303? -0.303 0.19 * -0.07 -0.0133 Product of 88 and 0.1. 8.8 -0.3*5 -1.5 -0.231 * -7.8 1.8018 What is the product of -236 and 0.4? -94.4 Work out 99 * -0.5. -49.5 What is 22.9 times -0.8? -18.32 -30 * -500 15000 Product of 1100 and -3. -3300 Work out -0.4 * -881. 352.4 What is 15 times -0.4? -6 Calculate 0*-625. 0 -19 times 5 -95 What is -0.3 times -0.091? 0.0273 0.04 * 2 0.08 Multiply 0.19 and 0.24. 0.0456 Product of 21.1 and -23. -485.3 What is -1.3 times 8.8? -11.44 What is 0.1 times 0.0681? 0.00681 What is -12.98 times 0.4? -5.192 Product of -551 and -2. 1102 Work out -0.748 * 0.1. -0.0748 Calculate 1.1*-0.067. -0.0737 Multiply -6259 and -1. 6259 Product of 10 and -0.19. -1.9 Product of -21 and -63. 1323 Calculate -23*-15. 345 Multiply 14.72 and 0.09. 1.3248 Multiply -0.1 and -0.234. 0.0234 Work out 0.09 * -4. -0.36 What is 1.58 times -12? -18.96 Work out 1346 * -3. -4038 Product of 3.65 and 0.4. 1.46 What is the product of -0.5 and 6.3? -3.15 Multiply -0.04 and 37. -1.48 -0.1 * 78 -7.8 -166 times 1.4 -232.4 -2105 times -0.3 631.5 0.07*4.9 0.343 What is the product of 2 and -215? -430 Calculate -0.1264*-0.5. 0.0632 What is the product of 6.33 and 0.1? 0.633 Multiply -173 and -2. 346 Work out -0.2 * -7418. 1483.6 What is the product of -1.5 and 11.6? -17.4 Product of -15 and -1. 15 Multiply -0.1 and 2.06. -0.206 -17.18*0.4 -6.872 Work out -9 * -8.13. 73.17 Product of -7 and -880. 6160 -1 * 1969 -1969 Product of 0.093 and 1. 0.093 Product of -7 and 3.2. -22.4 What is -5 times -271.6? 1358 -71 * -45 3195 2 times -0.027 -0.054 Work out -18 * -508. 9144 -65 times 0.77 -50.05 1.7 * -0.61 -1.037 -13144 times -3 39432 -41.4*-24 993.6 What is the product of 7510 and 5? 37550 -0.5*1.66 -0.83 0.2 times -0.104 -0.0208 -7 times -15.9 111.3 0.5 times 23.2 11.6 Calculate 410.3*-2. -820.6 Product of -0.0228 and -3. 0.0684 Multiply -2.08 and 0.7. -1.456 What is -2.67 times 0.031? -0.08277 Multiply -146 and 0.4. -58.4 91*-3 -273 0.0284 * 0.5 0.0142 -137 * 1 -137 Multiply -20.09 and -4. 80.36 Calculate -1.17*0. 0 -5*-1.23 6.15 162.1 * -0.2 -32.42 104.25 times 0 0 Product of -5 and 175. -875 0.386 times -0.2 -0.0772 Calculate 5.4*0.11. 0.594 -0.02661*-0.5 0.013305 0*-0.085 0 Work out 4 * -1.261. -5.044 Multiply -170 and 0. 0 What is -7.5 times -15.3? 114.75 Calculate -1767*0.5. -883.5 Product of -0.0144 and 0.2. -0.00288 Product of -0.4 and -5.2. 2.08 -4.6 * -64 294.4 What is -0.0414 times 0.5? -0.0207 0.62 * -0.02 -0.0124 -15.78*-0.6 9.468 Multiply 139.5 and 4. 558 0.49 times 6.1 2.989 -68 times 3 -204 What is -13.05 times -0.5? 6.525 -0.2*5.5 -1.1 7968*-3 -23904 Work out -2034 * 0.5. -1017 What is 0 times -1.2? 0 -6 times 33 -198 Calculate 0.3*234.8. 70.44 Work out -0.5 * -3.11. 1.555 -75 times -27 2025 -0.2 times 497 -99.4 Multiply 1.9 and 0.3. 0.57 Calculate 2*-52. -104 Product of -31.8 and 0.5. -15.9 Multiply -0.15 and -3. 0.45 What is the product of 0.0428 and 0.4? 0.01712 Product of -0.9 and 15.12. -13.608 8971*0.1 897.1 What is the product of -5 and -0.0126? 0.063 Product of 0.142 and 0.5. 0.071 Multiply 5 and 0.099. 0.495 Product of -4 and 81. -324 -6*10.2 -61.2 Work out -1249 * -2. 2498 What is -2 times -19.37? 38.74 Calculate 216*0.2. 43.2 Multiply 6.4 and -0.01. -0.064 0.5 * -0.064 -0.032 What is the product of -339 and -3? 1017 0.3 times 0.032 0.0096 Work out -7 * 0.055. -0.385 Calculate -0.23278*-1. 0.23278 1564*0.4 625.6 0 times -76 0 -8.4*-0.03 0.252 0.5 times -2912 -1456 Work out -467 * 0.3. -140.1 -0.3*2999 -899.7 Product of 0.48 and -1.4. -0.672 Work out 187 * -0.5. -93.5 Product of 0.11 and 29. 3.19 What is 115.1 times -1? -115.1 Multiply 469 and -4. -1876 What is the product of 4 and 0.046? 0.184 What is 0.4 times 3.6? 1.44 0.4 times -12 -4.8 -0.08 times 34 -2.72 -974*0.1 -97.4 0*3431 0 0.5 times 2.93 1.465 -0.39 * 0.09 -0.0351 -6.3 times -0.23 1.449 What is 1 times -0.031? -0.031 -7674*0 0 Work out -0.0199 * 0.2. -0.00398 Work out 25 * -340. -8500 278 * -0.08 -22.24 0.9*0.0338 0.03042 Work out 0 * -480. 0 4 * 16.3 65.2 What is the product of 4 and -0.012? -0.048 Calculate 59*5. 295 Multiply 2 and -120. -240 Calculate 0.19*1.3. 0.247 What is -0.31 times 4? -1.24 What is -1 times -203.3? 203.3 Work out -736 * 3. -2208 Product of 0.32 and 6. 1.92 Multiply -5 and -2.73. 13.65 What is 10 times -1.1? -11 Product of -247 and 0.25. -61.75 0.7*120 84 Work out 2 * 335. 670 Calculate 1.9*-8. -15.2 Calculate 77.4*4. 309.6 What is 8 times 5.1? 40.8 0.4981 times 0.3 0.14943 Product of 5 and 100. 500 What is -33.8 times -13? 439.4 What is the product of -0.119 and -3? 0.357 0.2625 * 2 0.525 Multiply 0.26 and 214. 55.64 Work out 1.09 * -0.081. -0.08829 12121 times -3 -36363 What is -153 times -0.3? 45.9 What is -0.3 times 0.08? -0.024 What is the product of -0.03 and -20? 0.6 Multiply -1 and -0.151. 0.151 -4 * -92 368 What is -0.4 times 93.3? -37.32 Multiply -8.3 and -0.2. 1.66 Calculate 21*10. 210 Work out -341 * 7.4. -2523.4 -423 * -15 6345 2 * -301 -602 Product of -14 and 30. -420 Calculate 562*-20. -11240 Multiply 2 and 987. 1974 125.1 times 0.5 62.55 Multiply 4.9 and -13. -63.7 What is 5 times 20? 100 Calculate 9.3*-4. -37.2 What is -0.06 times -0.13? 0.0078 What is the product of 1533.4 and 0.2? 306.68 0.06*1.7 0.102 Product of -1.3 and 262. -340.6 What is -2.1 times -3.3? 6.93 Multiply -170.8 and 5. -854 -0.2*-127 25.4 Work out 3425 * 0.5. 1712.5 What is the product of -1194 and 3? -3582 1240*-0.16 -198.4 Multiply -0.12 and 732. -87.84 -1*-60 60 0*0.3365 0 Work out 0.06 * -4. -0.24 38.75 times 0.3 11.625 Calculate 0.5662*0.4. 0.22648 -0.181*-0.23 0.04163 What is 19 times 12? 228 22.07 * 2 44.14 Work out -11 * -2565. 28215 10*0.2 2 -1.08 * -5 5.4 Work out -112 * -0.08. 8.96 What is 0.65 times -0.06? -0.039 Work out -23 * 291. -6693 -0.4 * -155.1 62.04 Multiply -246 and 0.3. -73.8 -760 * 0.06 -45.6 What is the product of -0.02 and -5? 0.1 What is the product of -5 and -23? 115 Multiply -71 and -1. 71 Multiply 5 and -1.81. -9.05 -41*4.3 -176.3 What is the product of -2.9 and 0.3? -0.87 2 * -4402 -8804 -88*-0.5 44 Product of -0.5 and 78. -39 Calculate -1*-2.29. 2.29 Calculate -35*-103. 3605 -80 * -17 1360 -5 times 13.2 -66 34 * 5 170 -0.075 * 1 -0.075 Multiply 16371 and -0.2. -3274.2 0.62*21 13.02 1.8 times 0.14 0.252 0.2 times 13 2.6 Work out 2 * -0.179. -0.358 Calculate 14*11.6. 162.4 Calculate -0.5*0.0632. -0.0316 Work out -1.726 * 0.5. -0.863 What is the product of -0.081 and 10? -0.81 Product of -10 and -17. 170 What is the product of 53.2 and -0.28? -14.896 Calculate 7.3*-6. -43.8 -2.47*-0.02 0.0494 Work out 18 * 0.6. 10.8 4*-17 -68 What is -138 times 0.07? -9.66 What is -1299 times -0.04? 51.96 Multiply 78 and -22.6. -1762.8 What is -2 times 235? -470 -6 times -0.014 0.084 Product of -0.008 and -0.193. 0.001544 -3.4 times 0.04 -0.136 Multiply 181 and 1. 181 -0.15 times 18 -2.7 What is the prod
{ "pile_set_name": "DM Mathematics" }
3, e: 5}. What is prob of picking 1 e and 2 y? 15/56 Calculate prob of picking 2 c and 1 s when three letters picked without replacement from qwqcccccswwc. 3/44 Four letters picked without replacement from qhpprrfppprrpfkf. Give prob of picking 4 p. 3/364 What is prob of picking 4 x when four letters picked without replacement from {x: 5, u: 3}? 1/14 Two letters picked without replacement from {k: 6, m: 13}. What is prob of picking 2 k? 5/57 Two letters picked without replacement from {u: 5, v: 4, k: 3, i: 1}. Give prob of picking 1 i and 1 u. 5/78 Two letters picked without replacement from {h: 4, i: 1, q: 6}. What is prob of picking 2 h? 6/55 Two letters picked without replacement from bwnrqee. Give prob of picking 1 n and 1 e. 2/21 Calculate prob of picking 1 z and 1 n when two letters picked without replacement from nnzn. 1/2 Two letters picked without replacement from vpvpvpvv. Give prob of picking 1 p and 1 v. 15/28 Four letters picked without replacement from {r: 1, t: 4, p: 6, d: 3, n: 2, i: 3}. What is prob of picking 1 r, 2 d, and 1 p? 3/646 Calculate prob of picking 2 r when two letters picked without replacement from rvruujuurruvujuvvuj. 2/57 Three letters picked without replacement from {s: 1, a: 12}. What is prob of picking 2 a and 1 s? 3/13 Three letters picked without replacement from zklchckzncnncknnhcch. What is prob of picking 1 h and 2 z? 1/380 Calculate prob of picking 1 l and 1 a when two letters picked without replacement from {i: 1, l: 2, m: 2, a: 1, r: 2, y: 1}. 1/18 What is prob of picking 2 c when two letters picked without replacement from jqqqqqbqjjqjccjcqj? 1/51 Calculate prob of picking 2 a when two letters picked without replacement from kaaaaaaaaaaaaaakaaak. 68/95 What is prob of picking 3 w when three letters picked without replacement from lwmwlwlmmwl? 4/165 Calculate prob of picking 1 h, 1 q, and 1 j when three letters picked without replacement from lqdjhilid. 1/84 Two letters picked without replacement from {x: 4, r: 6, f: 3}. What is prob of picking 1 r and 1 f? 3/13 Calculate prob of picking 2 d when two letters picked without replacement from kjuvddr. 1/21 Two letters picked without replacement from {o: 4, a: 1, w: 1, e: 7}. Give prob of picking 1 o and 1 w. 2/39 What is prob of picking 1 p and 1 n when two letters picked without replacement from vpnuuwgw? 1/28 Calculate prob of picking 1 d and 3 b when four letters picked without replacement from bdibixixxn. 0 What is prob of picking 2 m and 1 t when three letters picked without replacement from mmmtmgmmggmmgmmgg? 9/136 Three letters picked without replacement from csskakcctttavccatttt. Give prob of picking 1 c and 2 s. 1/228 Two letters picked without replacement from {x: 2, n: 2, i: 5}. What is prob of picking 1 i and 1 x? 5/18 Calculate prob of picking 1 c and 1 k when two letters picked without replacement from {x: 4, k: 2, c: 1, n: 4}. 2/55 Two letters picked without replacement from {h: 1, v: 5, t: 4}. Give prob of picking 1 t and 1 h. 4/45 Calculate prob of picking 2 s when two letters picked without replacement from sxysyyxsmxx. 3/55 Four letters picked without replacement from {u: 5, e: 5, w: 6, x: 1}. What is prob of picking 2 w, 1 u, and 1 e? 75/476 What is prob of picking 1 h and 1 i when two letters picked without replacement from {y: 3, i: 2, h: 5}? 2/9 Calculate prob of picking 1 n, 1 c, and 1 l when three letters picked without replacement from {h: 6, t: 4, s: 2, n: 1, c: 3, l: 2}. 1/136 Two letters picked without replacement from mrq. What is prob of picking 1 q and 1 m? 1/3 Four letters picked without replacement from zzjjoojgozooojj. Give prob of picking 1 z, 1 j, 1 o, and 1 g. 6/91 Three letters picked without replacement from {g: 3, y: 2}. What is prob of picking 1 g and 2 y? 3/10 Two letters picked without replacement from qzf. What is prob of picking 1 f and 1 z? 1/3 Calculate prob of picking 2 y when two letters picked without replacement from {y: 6, t: 2, m: 9}. 15/136 Two letters picked without replacement from nunncnnynnncmnunurn. What is prob of picking 1 c and 1 n? 22/171 Calculate prob of picking 4 j when four letters picked without replacement from jjzjjjczzzjzzjzzzzz. 35/3876 Calculate prob of picking 1 v and 1 i when two letters picked without replacement from owiiwwicwiccicvo. 1/24 Calculate prob of picking 2 k when two letters picked without replacement from iiaakikibp. 1/45 What is prob of picking 1 u, 1 m, and 2 t when four letters picked without replacement from ntuunmunliln? 0 Calculate prob of picking 2 j, 1 r, and 1 o when four letters picked without replacement from jorojooj. 6/35 What is prob of picking 2 p and 1 z when three letters picked without replacement from {z: 4, s: 5, p: 8}? 14/85 Four letters picked without replacement from {w: 5, u: 3, z: 1}. Give prob of picking 3 w and 1 z. 5/63 Two letters picked without replacement from {m: 1, q: 2, p: 4, k: 9}. What is prob of picking 1 k and 1 m? 3/40 Two letters picked without replacement from ssgssgsbgggssgggggss. What is prob of picking 2 g? 9/38 Calculate prob of picking 2 y, 1 c, and 1 p when four letters picked without replacement from hmpypbpmmyycmbbbb. 9/2380 Calculate prob of picking 2 c and 2 k when four letters picked without replacement from {k: 7, p: 3, c: 2}. 7/165 Two letters picked without replacement from hhhhdhshh. What is prob of picking 1 d and 1 s? 1/36 What is prob of picking 1 p and 1 v when two letters picked without replacement from pppzpzpgv? 5/36 What is prob of picking 1 r, 1 n, 1 z, and 1 y when four letters picked without replacement from rnvvvdzvyvv? 1/330 What is prob of picking 1 u, 1 p, and 1 t when three letters picked without replacement from xutnnnggupntgg? 1/91 Two letters picked without replacement from {o: 3, y: 2, g: 1, x: 1, t: 4}. What is prob of picking 1 x and 1 g? 1/55 Three letters picked without replacement from mmmmmm. Give prob of picking 3 m. 1 Four letters picked without replacement from {f: 12, l: 7}. Give prob of picking 4 f. 165/1292 Four letters picked without replacement from {l: 5, i: 3, n: 6, k: 2, r: 3, z: 1}. Give prob of picking 3 i and 1 k. 2/4845 Three letters picked without replacement from ayaaaaaaayaayaaaya. Give prob of picking 1 y and 2 a. 91/204 Two letters picked without replacement from {o: 1, w: 5, t: 8, k: 2}. Give prob of picking 2 k. 1/120 Two letters picked without replacement from {h: 10, m: 4}. What is prob of picking 1 h and 1 m? 40/91 What is prob of picking 1 s and 2 c when three letters picked without replacement from cncncsscchscnnchssh? 35/323 Four letters picked without replacement from {a: 1, i: 1, l: 6, c: 1, w: 1, g: 1}. Give prob of picking 1 w, 1 a, 1 c, and 1 i. 1/330 Calculate prob of picking 4 q when four letters picked without replacement from {q: 14, r: 5}. 1001/3876 Two letters picked without replacement from fwzrdrdzdffrroz. What is prob of picking 1 d and 1 o? 1/35 Two letters picked without replacement from cjlclhrhchrchh. Give prob of picking 1 r and 1 c. 8/91 Calculate prob of picking 4 x when four letters picked without replacement from {k: 2, x: 6}. 3/14 Calculate prob of picking 2 j, 1 f, and 1 s when four letters picked without replacement from {p: 2, f: 1, s: 5, o: 4, t: 5, j: 3}. 1/323 Two letters picked without replacement from vmmmmmqqq. What is prob of picking 1 v and 1 q? 1/12 Two letters picked without replacement from {i: 2, n: 1, y: 2, j: 2, u: 5, r: 1}. Give prob of picking 1 y and 1 i. 2/39 What is prob of picking 1 w, 1 s, and 1 n when three letters picked without replacement from njrswso? 2/35 Two letters picked without replacement from yyai. Give prob of picking 1 i and 1 a. 1/6 Two letters picked without replacement from {d: 3, z: 7, t: 3, f: 2, i: 3}. Give prob of picking 1 i and 1 t. 1/17 Three letters picked without replacement from {x: 1, j: 2, s: 1}. What is prob of picking 1 j, 1 x, and 1 s? 1/2 What is prob of picking 1 i and 2 v when three letters picked without replacement from vethttitev? 1/120 What is prob of picking 1 p, 1 n, 1 y, and 1 a when four letters picked without replacement from yyppaaypynp? 16/165 Two letters picked without replacement from {n: 3, g: 9, p: 7}. Give prob of picking 1 p and 1 g. 7/19 Calculate prob
{ "pile_set_name": "DM Mathematics" }
(i)). -2*i**2 Suppose 3*r + 5 = -2*o, o - 27 = 4*r - 2. Let l(i) = 5*i**2 - o*i**2 - 3*i**2. Let f(s) = s - 2*s - s. Give f(l(w)). 6*w**2 Let x(h) be the second derivative of h**3/3 + h. Let f(v) = 90*v + 85*v - 173*v. Determine f(x(m)). 4*m Let f(t) be the third derivative of t**5/60 + 5*t**2. Let x(k) = 8*k**2. Give x(f(w)). 8*w**4 Let p(n) = -7*n**2 - 6. Let f(k) = 6*k**2 + 5. Let v(i) = 6*f(i) + 5*p(i). Let s(x) = 5*x. Give s(v(g)). 5*g**2 Let p(n) = -1033*n**2. Let w(q) = 15*q**2. What is p(w(i))? -232425*i**4 Let g(o) = 3*o. Suppose -f - 2*f = 6. Let m(n) = -1. Let h(k) = -2*k - 5. Let j(q) = f*h(q) + 10*m(q). What is j(g(y))? 12*y Let u(l) be the first derivative of 4 - l + l - 4*l**2 + 3*l**2. Let a(f) = f. Give a(u(b)). -2*b Let o(b) = b**2 - 3*b**2 - 3*b**2. Let z(l) be the first derivative of 2*l**2 + 206. Calculate o(z(d)). -80*d**2 Let g(s) = 547*s**2 + 3*s - 2. Let q(w) = 3*w. What is q(g(c))? 1641*c**2 + 9*c - 6 Let m(x) = -60*x. Let w(d) = -18*d. Calculate m(w(n)). 1080*n Let d(q) = 4*q - 2*q - 4*q + 3*q. Let c = 3 - -4. Let l(b) = c*b**2 - 2*b**2 - 4*b**2. What is l(d(v))? v**2 Let z(u) = -67*u**2 + 2*u + 35. Let h(w) = 3*w**2. Calculate z(h(j)). -603*j**4 + 6*j**2 + 35 Let y(w) = -w + 5. Let z(p) = -1. Let b(a) = y(a) + 5*z(a). Let d(l) be the second derivative of l**4/4 - 10*l. Give b(d(x)). -3*x**2 Let a(t) = 3769*t. Let c(k) = -3*k**2. Give a(c(l)). -11307*l**2 Let l(u) = 3*u. Let n(j) = 1618*j**2. What is l(n(k))? 4854*k**2 Let d(i) = -4 + 4 + 16*i**2 - 2. Let k(j) = 2*j**2. Determine d(k(y)). 64*y**4 - 2 Let c(y) = -y. Let x(a) be the third derivative of -a**8/4032 - a**5/20 - a**2. Let s(w) be the third derivative of x(w). Determine c(s(o)). 5*o**2 Let l(y) = -3*y**2 - 421*y. Let g(w) = -w. Give l(g(a)). -3*a**2 + 421*a Let s(z) = 2*z. Let a(i) = -22493*i. What is s(a(p))? -44986*p Let u(k) = -52 + k - 5*k + 52. Let l(z) = z. Calculate l(u(f)). -4*f Let g(l) = l**3 + 8*l**2 + 6*l - 5. Let m be g(-7). Let o(k) = 0*k**m - 2*k**2 + 6*k**2. Let d(n) be the third derivative of n**5/30 - 8*n**2. Give o(d(r)). 16*r**4 Suppose 0 = u - 2 - 0. Let p(a) = 2*a + 2*a**u - 2*a. Let s(t) be the second derivative of t**4/12 + 2*t. Calculate p(s(x)). 2*x**4 Let x(i) = -2*i. Let c(r) be the third derivative of -r**6/90 + r**3/6 - 3*r**2. Let n(m) be the first derivative of c(m). Calculate x(n(s)). 8*s**2 Let u(r) = r**2. Let t(i) = -i**2 - 3*i - 4. Let f be t(-3). Let p = 10 + f. Let m(g) = 0*g + 4*g - p*g. Calculate u(m(a)). 4*a**2 Let k(j) = j**2. Let p(o) = -o**2 + 7*o - 4. Let i be p(5). Let s(t) = 6 - t**2 - i. Give s(k(c)). -c**4 Let g(c) be the third derivative of c**4/24 + 2*c**2. Let f(q) = -3*q + 0*q + 2*q + 5*q. Give f(g(v)). 4*v Let z(w) = 183*w**2 + 4. Let l(t) = -3*t**2. Give l(z(a)). -100467*a**4 - 4392*a**2 - 48 Let n(u) = -3*u + 6. Let a(y) = -88*y. Give n(a(w)). 264*w + 6 Let g(s) = 4*s**2. Let h(v) = 3*v**2. Determine h(g(u)). 48*u**4 Let p(q) = -q**2. Let c(m) = 3*m - m - m - 15 + 8. What is p(c(v))? -v**2 + 14*v - 49 Let i(q) = -9*q - 2*q**2 + 9*q. Suppose -5*s + 0 + 25 = 0. Let c(a) = 9*a**2 - 3*a**2 - s*a**2. What is i(c(w))? -2*w**4 Let x(y) = 5*y. Let v(w) = -2160*w. Give v(x(t)). -10800*t Let w(l) = -15*l**2 + 4*l - 4. Let p(u) = 31*u**2 - 9*u + 9. Let k(h) = 4*p(h) + 9*w(h). Let q(o) = 2*o. Calculate q(k(a)). -22*a**2 Let a(l) = 13*l + 4. Let g(o) = o**2. Determine g(a(n)). 169*n**2 + 104*n + 16 Let l(c) = 59*c**2 - 2. Let n(r) = -11*r. Calculate n(l(i)). -649*i**2 + 22 Let p(v) = -6*v. Let b(f) = 2*f + 59. Determine b(p(s)). -12*s + 59 Let k(o) be the third derivative of o**4/24 - 2*o**2. Let x(i) = 8*i - 9. Let b(m) = -m + 1. Let y(d) = 18*b(d) + 2*x(d). Give k(y(z)). -2*z Let b(u) = -10*u**2. Let v(l) = 7*l**2. Calculate v(b(s)). 700*s**4 Let y = 4 - 0. Let o(s) = -13*s + 6*s + 8*s + y*s. Let i(l) = -l. What is i(o(z))? -5*z Let m(h) = -2*h - 2. Let y(t) = -t**2 - 3*t - 3. Let d(w) = 3*m(w) - 2*y(w). Let r(s) = 6*s. What is r(d(c))? 12*c**2 Let t(q) = -3*q**2 + q**2 - q**2. Let a(y) be the first derivative of -1 + 0*y + 0*y**2 - 1/3*y**3. Determine t(a(p)). -3*p**4 Let k(q) = 2*q + 75. Let l(v) = -10*v**2. Determine l(k(f)). -40*f**2 - 3000*f - 56250 Let x(q) be the first derivative of q**2 - 23. Let z(w) = -36*w**2. Give z(x(k)). -144*k**2 Let l(x) be the second derivative of x**3/3 + 4*x. Let t(n) = -24*n. Determine t(l(o)). -48*o Let p(l) = l - 1. Let r(z) be the first derivative of -8*z**2 + 12*z + 5. Let b(m) = 12*p(m) + r(m). Let t(n) = -n. What is t(b(u))? 4*u Let k = 97 + -93. Let c(w) be the third derivative of -1/12*w**k + w**2 + 0 + 0*w**3 + 0*w. Let j(v) = -2*v. Determine j(c(l)). 4*l Let j(a) = a**2. Let x(g) = -12*g**2 - 7. Let w(c) = 22*c**2 - 11*c**2 - 3 - 15*c**2 + 1. Let d(f) = 7*w(f) - 2*x(f). Calculate d(j(z)). -4*z**4 Let h(f) = -f**2. Let w(m) be the second derivative of m**4/6 + 8*m. Calculate w(h(c)). 2*c**4 Let r(t) be the first derivative of 0*t**3 - t**2 - 2 + 1/12*t**4 + 0*t. Let d(w) be the second derivative of r(w). Let u(x) = 2*x. Determine d(u(y)). 4*y Let m(k) = -28*k. Let j(d) = 2*d**2 + 520*d - 520*d - 6*d**2. Calculate j(m(t)). -3136*t**2 Let b(l) = l. Let o(g) = -1485*g**2. Determine b(o(a)). -1485*a**2 Let o(y) = 4*y. Let s(d) = 4*d - 11. Let f(x) = x + 6*x + 4 - 5*x - 10. Let u(q) = -11*f(q) + 6*s(q). What is u(o(b))? 8*b Let v(p) = -9*p. Let r(h) = 2*h. Let m(u) = -5*r(u) - v(u). Let f(i) = 4*i**2 - 6. Determine f(m(o)). 4*o**2 - 6 Let p(x) = x + 3*x - 6*x. Let m(u) = -3*u. Let q(f) = -f. Let g(z) = -m(z) + 2*q(z). Give g(p(k)). -2*k Let a = 8 + -4. Let x(b) = -b + b + a*b + b. Let d(z) = 2*z**2. What is x(d(r))? 10*r**2 Let x(b) be the second derivative of -b**4/6 - b. Let z be -1 + 2 - 1/(-1). Let u(m) = -4 - 1 - m**z + 5. What is u(x(k))? -4*k**4 Let z(h) = 7*h**2 + 5*h + 5. Let c(w) = 11*w**2 + 8*w + 8. Let k(v) = -5*c(v) + 8*z(v). Let d(q) = q**2 + 0*q**2 + 0*q**2 + 3*q**2. What is d(k(f))? 4*f**4 Let p(c) = -c + 1. Let i(x) = 4*x - 2. Let h(r) = 3*i(r) + 6*p(r). Let a(d) = -16*d + 5*d + 7*d + 6*d. Determine a(h(n)). 12*n Let q(n) = 2*n**2 + 17*n. Let h(c) = -c**2 - 6*c. Let k(i) = -17*h(i) - 6*q(i). Let y(r) = 8*r**2. Give k(y(z)). 320*z**4 Suppose -5*g - 5 = 15, -2 = -3*m - g. Suppose -2 = -3*a + 7. Let q(s) = 10*s**2 - a + 3 - 3*s**m. Let o(v) = -2*v**2. Determine q(o(r)). 28*r**4 Let f(d) = d + 12. Let l be f(0). Let z(w) = -12 + l - w**2. Let t(i) be the first derivative of 5*i**2/2 + 1. What is t(z(p))? -5*p**2 Let t(y) = 2*y. Let i(b) = 10*b + 8*b - 11*b + 20*b. What is t(i(z))? 54*z Let s(p) = 6*p. Let u(n) = 20*n**2. Determine s(u(b)). 120*b**2 Let o(i) = -i. Let l(q) = -1205*q. Determine l(o(z)). 1205*z Let n(r) be the second derivative of -7*r**3/6 + r. Let v(k) be the second derivative of -k**3/6 - 22*k. Calculate v(n(q)). 7*q Let x(d) = d. Let j(g) be the second derivative of g**6/240 + g**4/4 + g. Let y(a) be the third derivative of j(a). Determine x(y(r)). 3*r Let l(t) = -165*t - 44. Let z(u) = 11*u + 3. Let a(w) = 3*l(w) + 44*z(w). Let b(x) = 2*x. What is b(a(r))? -22*r Let a(n) = -5*n**2 + 5*n + 5. Let j(g) = -2*g**2 + 3*g + 3. Let i(w) = 3*a(w) - 5*j(w). Let d(x) = -3*x**2. Determine i(d(o)). -45*o**4 Let r(q) = -7*q. Let j(a) = 39*a**2. Give j(r(i)). 1911*i**2 Let f(i) = 2*i**2. Let b(z) be the second derivative of -7*z**3/6 - 8*z. What is f(b(h))? 98*h**2 Let q(b) be the second derivative of -b**4/4 - 2*b. Let y(p) = 6*p. What is y(q(r))? -18*r**2 Let y(h) = -h. Let o(c) = 3*c**2. Let i(x) = 16*x**2. Let s be (-14)/4 + (-2)/(-4). Let p(m) = s*i(m) + 14*o(m). Give y(p(u)). 6*u**2 Let p(q) = -3*q. Let i(g) be the third derivative of -1/8*g**4 + 0*g + 3*g**2 + 0*g**3 + 0. Calculate p(i(s)). 9*s Let g(d) = -5*d - 2. Let w(n) = -9*n - 5. Let q(x) = -5*g(x) + 2*w(x). Let s(u) = 10*u**2. Give q(s(i)). 70*i**2 Let s(b) = -b**2. Let o(v) = -3*v**2 - 3*v**2 + 4*v**2 + 4*v**2. Give s(o(f)). -4*f**4 Let r(k) = 2*k. Let o(u) = 23*u - 11*u + 8*u. Give r(o(h)). 40*h Let m(y) be the first derivative of 0*y**2 + 0*y**3 + 1 + 1/12*y**4 - y. Let l(n) be the first derivative of m(n). Let i(v) = 2*v**2. Determine i(l(x)). 2*x**4 Let w(j) be the second derivative of -j**4/6 + j. Let a(h) = -7*h**2. Give w(a(c)). -98*c**4 Let i(v) = 12*v. Let a(c) = -c**2 + 5*c
{ "pile_set_name": "DM Mathematics" }
culate the remainder when p is divided by o(z). 20 Suppose -32 = -15*w + 11*w. Let p(j) = -j**3 + 6*j**2 + 20*j - 16. What is the remainder when 61 is divided by p(w)? 13 Let f = 194 - 100. Calculate the remainder when f is divided by 2673/135 + (1 - (-4)/(-5)). 14 Let f(x) be the first derivative of x**2/2 + 10*x - 8. What is the remainder when 82 is divided by f(11)? 19 Let l be 1 + 1 - (3 + 52). Let b = -37 - l. What is the remainder when (31*4)/(19 - 17) is divided by b? 14 Suppose 0*u - 16 = 3*f - 2*u, -4*f - 26 = -5*u. Let a = f - -113. Calculate the remainder when a is divided by 16. 13 Let u be (-16)/(-28) - (1 - (-944)/(-14)). Let b = -7 + u. Calculate the remainder when b is divided by (-4)/(-16) - (-83)/4. 18 Let w = 88 + 26. Calculate the remainder when w is divided by 59. 55 Let x = -295 - -331. What is the remainder when x is divided by 22? 14 Suppose 344*u - 346*u + 112 = 0. Calculate the remainder when 278 is divided by u. 54 Let i(o) = 2*o + 11. Let l be i(-8). Let c be ((-8)/l)/(6/15). Calculate the remainder when 13 is divided by 27/c + (-1)/(-4). 6 Suppose 4*m - 7 - 13 = 0. Let o(d) = -d**2 + 8*d - 4. Calculate the remainder when o(m) is divided by 3. 2 Let k = -50 - -122. What is the remainder when 284 is divided by k? 68 Suppose v - 6*v - 2*h + 431 = 0, -v - 3*h = -81. Suppose 0*w = -w + v. Suppose -18 = t - 2*t. What is the remainder when w is divided by t? 15 Let k = -1 - 11. Let n = k + 12. Suppose -2*x - 13 + 39 = n. What is the remainder when 38 is divided by x? 12 Let y = 126 - 122. Let n be 2/7 + (-435)/(-21). Suppose 2*d + k - 8 = d, 0 = -3*d - y*k + n. What is the remainder when d is divided by 4? 3 Let z(v) = v**3 + 7*v**2 - 9*v - 2. Let a be z(-8). Suppose a*x = -3*x + 108. What is the remainder when 43 is divided by x? 7 Let o = -54 - -34. Suppose 2*g = -2*g + 200. Let i = g + o. What is the remainder when i is divided by 8? 6 Suppose 17312 = -339*g + 371*g. What is the remainder when g is divided by 68? 65 What is the remainder when 82 is divided by 57/2 - (-2 + (-40)/(-16))? 26 Calculate the remainder when 540/(-25)*(-2)/((-4)/(-15)) is divided by 5. 2 Suppose 0 = -5*t - 4*p + 140, -5*p = 2*t + 3*t - 135. Suppose -h + t = h. Let z = h + -4. Calculate the remainder when 47 is divided by z. 11 Suppose 3*j = j + 6. Suppose 0 = -3*h - 20 + 65. Suppose -5*c - h = -10*c. What is the remainder when j is divided by c? 0 Suppose -t + 26 = -52. Suppose -t = 6*p - 8*p. Suppose p = 10*x - 7*x. What is the remainder when x is divided by 8? 5 Let z = -180 + 303. What is the remainder when z is divided by 32? 27 Let t = 43 + 35. Suppose 5*f + u - 9 = -2, 0 = -5*f + 3*u - 1. What is the remainder when t is divided by (25 + 2)*f/1? 24 Let h be (-1)/(-3) - 87/(-9). What is the remainder when 5*(1 + 8/h) is divided by 21 - 10 - (4 + 1)? 3 Suppose 2*x + 53 = z, -15*z + x = -20*z + 276. What is the remainder when 225 is divided by z? 5 Calculate the remainder when 1/((-1)/7*(-56)/56) is divided by (2/(-5))/((-1)/10). 3 Suppose 3*g - 2*x + 2 = 0, 4*g - 5*x - 2 = -0. Let n(r) = 5*r**2 - 3*r - 5. Suppose 0 = -5*t + 2*t + 24. Calculate the remainder when n(g) is divided by t. 5 Suppose l = -4*y + 62 + 830, 4*y - 884 = l. What is the remainder when 87 is divided by (-2)/(-6) - (1 + y/(-9))? 15 Suppose -3*u + u - 4*b = -76, 0 = u - 4*b - 62. Suppose 9 = 5*h - u. Suppose -8*m + 24 = 5*y - 6*m, 15 = -5*m. Calculate the remainder when h is divided by y. 5 Let s be (7 - -1)/1 - -2. Suppose -3 = x - s. What is the remainder when x is divided by 3? 1 Suppose -11*h + 3149 = -514. What is the remainder when h is divided by 42? 39 Suppose -h = -2*h. Suppose 2*r - 4*r = h. Suppose -4*j + 0*j + 64 = r. What is the remainder when 30 is divided by j? 14 Let n(l) = l**3 + 6*l**2 - 11*l + 6. Calculate the remainder when 96 is divided by n(-7). 28 Let r = -21 + 36. Let b = r - 12. Suppose 3*u - b*p = 279, 2*u - u - 2*p = 88. What is the remainder when u is divided by 25? 23 Suppose -327 = -4*z + 3*z - 3*y, 0 = -2*y + 4. What is the remainder when z is divided by 47? 39 Suppose -4*z + 5*u + 539 = 0, 5*z + u = -3*u + 684. What is the remainder when 12*(z/32 + (-3 - 0)) is divided by 7? 1 Let u = 16 + -11. Let d(x) = x**3 - 4*x**2 - 8*x + 4. Let t be d(u). Let p = -9 - t. What is the remainder when 4 is divided by p? 0 Suppose -5*b + 141 = -54. What is the remainder when 115 is divided by b? 37 What is the remainder when 59 is divided by -2 + 0/7 + 1 + 21? 19 Let v(x) = -15*x - 2. Let q(h) = 1. Let r(g) = 6*q(g) + v(g). Let f = -112 - -109. What is the remainder when r(f) is divided by 17? 15 Let o(s) = -3*s**2 - 73*s - 2. Suppose -2*i = -4*d - 5*i + 44, 4*d - 36 = -5*i. Calculate the remainder when o(-22) is divided by d. 12 Let l = 44 + -31. Let n(j) = -j - 1. Let v be n(-5). Suppose -v = -4*r + 188. What is the remainder when r is divided by l? 9 Suppose -23*c + 24*c - 2 = 0. Suppose -5 = -4*t - c*z + 13, 4*z = 4*t - 24. What is the remainder when t is divided by 2? 1 Let q = -790 + 861. Calculate the remainder when 279 is divided by q. 66 What is the remainder when 104 is divided by (-6)/1 - (2 - -2 - 39)? 17 Let m(t) = 8*t - 101. Calculate the remainder when 92 is divided by m(15). 16 Let j = -12 + 16. Suppose j*d + 0*d - 268 = 0. What is the remainder when d is divided by 18? 13 Let x = -248 - -531. Calculate the remainder when x is divided by 11. 8 Let g(p) = -2*p**3 - 7*p**2 - 3*p + 2. Suppose a + 217 = 9*h, 2*h + 5*a - 57 = -14. What is the remainder when g(-5) is divided by h? 20 Suppose 3*r - 1574 + 1514 = 0. What is the remainder when 215 is divided by r? 15 Let n(v) = -23*v + 12*v + 9*v. Let m = 7 - 14. Calculate the remainder when 54 is divided by n(m). 12 Let w(q) = -22 - 30 + 6*q - 2*q + 12. What is the remainder when w(30) is divided by 17? 12 Suppose 2*u + 3*u = 15. Let h = 95 - 82. What is the remainder when h + 1/(1*4/(-16)) is divided by u? 0 Let f = -28 - 5. What is the remainder when 75 is divided by (22/f)/(-1 - (-55)/57)? 18 Suppose -s - 2*s + 111 = 0. Suppose 0 = -2*g - 4*b + 12, 2*b = 2*g + 3*b - 24. Let d = s - g. Calculate the remainder when 44 is divided by d. 21 Let s(i) be the first derivative of -i**4/4 - 2*i**3 + 3*i**2/2 - 7*i - 2. Let j be s(-7). Let f = 64 - j. Calculate the remainder when f is divided by 15. 13 Let o = -54 - -79. Calculate the remainder when (-8)/12 - 1*1196/(-12) is divided by o. 24 Let n be (-8 - -9) + (-2 - -4). Suppose -5*w + 4*d + 85 = 0, -6*w + n*w + 68 = d. Calculate the remainder when 39 is divided by w. 18 Suppose 8*o - 4*o + 4*t = 248, -3*o - 2*t + 189 = 0. What is the remainder when o is divided by (170/(-50))/((-1)/5)? 14 Let d = -20 - -20. Suppose -2*s - 3*b + 13 = d, -4 = s - 2*b - 0*b. Suppose 3*v = s*q + 2*q - 171, 57 = q + 4*v. What is the remainder when q is divided by 8? 5 Let r(m) = -27*m - 29. What is the remainder when r(-4) is divided by 14? 9 Calculate the remainder when 121 is divided by 8/(-6)*540/(-24) - -2. 25 Let t(m) = m**3 + 6*m**2 - 19*m - 15. Suppose 3*k - 15 = -2*k. Calculate the remainder when t(-8) is divided by k. 0 Let v(f) = -f**2 - 14*f + 2. Let w be v(-6). Suppose 6 = t - w. Calculate the remainder when t is divided by 29. 27 Suppose 276*v = 283*v - 735. What is the remainder when v is divided by 37? 31 Suppose -64*r - 15*r = -10744. What is the remainder when 1084 is divided by r? 132 Suppose -3*l - x + 194 = 44, x - 100 = -2*l. Calculate the remainder when (-3 + l/(-6))/(8/(-60)) is divided by 29. 27 Let g(b) = -11*b**2 + b + 3. Let o be g(-1). Let l = 86 - 53. Let p = l + o. Calculate the remainder when p is divided by 14. 10 Let g(v) = 10*v + 8. Let j be g(-5). Suppose -6*r + c = -r - 54, -5*c = -5*r + 50. Calculate the remainder when (-1)/((-2 - -4) + -1) - j is divided by r. 8 Let l(d) = d**3 + 7*d**2 + 12*d + 37. What is the remainder when l(-5) is divided by 14? 13 Suppose 4*r + 4 = 0, 3*r + 709 = 3*z + 2*r. Let n = -2 + 23. What is the remainder when 8/12 + z/6 is divided by n? 19 Suppose 3*w + 3*x = 7*w - 228, -5*w + 250 = 5*x. What is the remainder when 210 is divided by w? 48 Let a(s) = -s**2 + 8*s - 4. Let i(q) = 2*q**2 + q. Let v be 0 - (0/(-2) - -2). What is the remainder when i(v) is divided by a(7)? 0 Let x(w) = 2*w**2 - 44*w + 21. Let s
{ "pile_set_name": "DM Mathematics" }
the greatest common divisor of 920 and 15. 5 What is the highest common divisor of 7 and 14? 7 Calculate the greatest common divisor of 30 and 25. 5 What is the greatest common factor of 763 and 203? 7 Calculate the greatest common factor of 805 and 140. 35 What is the greatest common factor of 1313 and 808? 101 What is the greatest common factor of 16 and 3568? 16 Calculate the greatest common factor of 20677 and 58. 29 What is the greatest common factor of 21410 and 30? 10 What is the highest common factor of 532 and 6251? 133 Calculate the greatest common divisor of 47 and 50290. 47 Calculate the greatest common divisor of 1377 and 81. 81 Calculate the highest common divisor of 48 and 3180. 12 Calculate the greatest common divisor of 48 and 96. 48 Calculate the highest common factor of 8 and 152. 8 Calculate the greatest common divisor of 648 and 288. 72 What is the greatest common divisor of 870 and 60? 30 What is the greatest common divisor of 405 and 20817? 81 Calculate the highest common divisor of 64 and 16448. 64 What is the highest common factor of 6 and 84? 6 Calculate the greatest common divisor of 299 and 4. 1 Calculate the highest common divisor of 7199 and 92. 23 What is the greatest common factor of 4355 and 130? 65 Calculate the highest common divisor of 10125 and 81. 81 What is the highest common factor of 612 and 288? 36 Calculate the greatest common divisor of 144 and 666. 18 What is the highest common divisor of 51 and 17? 17 What is the highest common factor of 60 and 705? 15 What is the greatest common factor of 4589 and 91? 13 Calculate the highest common divisor of 48 and 6. 6 Calculate the highest common divisor of 2343 and 426. 213 What is the highest common factor of 1860 and 2139? 93 Calculate the highest common divisor of 22 and 165. 11 Calculate the highest common factor of 132 and 9306. 66 What is the highest common divisor of 344 and 8? 8 Calculate the greatest common divisor of 200 and 160. 40 What is the highest common divisor of 516 and 1462? 86 Calculate the highest common factor of 1420 and 50. 10 Calculate the greatest common factor of 1079 and 26. 13 Calculate the greatest common divisor of 21141 and 29. 29 What is the highest common factor of 48 and 72? 24 What is the greatest common factor of 750 and 24? 6 What is the highest common factor of 297 and 66? 33 Calculate the greatest common factor of 155 and 2449. 31 Calculate the highest common divisor of 4480 and 35. 35 What is the highest common factor of 24 and 246? 6 What is the highest common divisor of 184 and 115? 23 What is the greatest common divisor of 396 and 88? 44 Calculate the greatest common divisor of 72 and 396. 36 Calculate the greatest common factor of 37 and 185. 37 What is the greatest common divisor of 42 and 1750? 14 What is the greatest common divisor of 235 and 423? 47 Calculate the greatest common divisor of 78 and 26. 26 Calculate the highest common divisor of 19 and 10488. 19 What is the greatest common factor of 1776 and 96? 48 Calculate the greatest common factor of 624 and 39. 39 What is the highest common factor of 14 and 3164? 14 What is the highest common divisor of 31 and 9827? 31 What is the greatest common factor of 374 and 143? 11 Calculate the greatest common factor of 656 and 246. 82 Calculate the greatest common divisor of 5018 and 26. 26 What is the greatest common factor of 18 and 19638? 18 Calculate the greatest common factor of 18 and 3222. 18 What is the highest common divisor of 65 and 3185? 65 What is the greatest common divisor of 588 and 1416? 12 What is the highest common divisor of 105 and 3955? 35 What is the highest common factor of 124 and 62? 62 Calculate the highest common factor of 20 and 116. 4 What is the greatest common divisor of 12 and 96? 12 Calculate the greatest common factor of 102 and 6. 6 What is the greatest common factor of 4695 and 45? 15 What is the greatest common divisor of 316 and 3397? 79 What is the highest common factor of 5293 and 67? 67 What is the highest common factor of 90 and 13005? 45 Calculate the highest common factor of 24 and 1272. 24 What is the highest common factor of 54 and 106? 2 Calculate the highest common factor of 11955 and 15. 15 What is the highest common divisor of 664 and 88? 8 What is the greatest common divisor of 30 and 165? 15 Calculate the highest common factor of 1600 and 625. 25 What is the greatest common divisor of 165 and 132? 33 What is the greatest common factor of 212 and 371? 53 Calculate the highest common divisor of 21 and 5271. 21 What is the highest common factor of 2910 and 30? 30 What is the highest common divisor of 30 and 475? 5 What is the highest common factor of 117 and 6071? 13 Calculate the greatest common divisor of 2560 and 20. 20 Calculate the highest common factor of 748 and 396. 44 What is the highest common divisor of 3 and 45411? 3 Calculate the highest common divisor of 2973 and 3. 3 Calculate the greatest common factor of 64602 and 74. 74 Calculate the highest common factor of 240 and 620. 20 What is the greatest common divisor of 32 and 1888? 32 What is the greatest common divisor of 399 and 357? 21 Calculate the greatest common factor of 7 and 1. 1 What is the greatest common divisor of 30 and 4485? 15 What is the highest common factor of 26 and 18694? 26 What is the greatest common factor of 28270 and 11? 11 Calculate the greatest common divisor of 3069 and 5022. 279 What is the greatest common divisor of 432 and 4428? 108 What is the highest common divisor of 12 and 5514? 6 Calculate the highest common divisor of 2109 and 57. 57 What is the greatest common divisor of 600 and 2850? 150 Calculate the highest common factor of 6499 and 134. 67 Calculate the greatest common factor of 96 and 640. 32 Calculate the highest common divisor of 9799 and 82. 41 What is the highest common factor of 28 and 3500? 28 What is the greatest common divisor of 88 and 330? 22 Calculate the greatest common divisor of 851 and 925. 37 What is the highest common divisor of 10 and 270? 10 What is the highest common factor of 15 and 645? 15 Calculate the highest common divisor of 50 and 1850. 50 What is the highest common factor of 118 and 118? 118 Calculate the greatest common divisor of 14 and 742. 14 What is the greatest common factor of 1384 and 6? 2 What is the highest common divisor of 108 and 48? 12 What is the greatest common factor of 342 and 54? 18 Calculate the highest common divisor of 1178 and 8. 2 What is the greatest common factor of 1168 and 272? 16 Calculate the greatest common factor of 165 and 385. 55 Calculate the greatest common divisor of 1666 and 28. 14 What is the greatest common divisor of 135 and 27? 27 Calculate the highest common divisor of 297 and 108. 27 What is the highest common divisor of 14 and 4622? 2 Calculate the greatest common divisor of 114 and 2679. 57 Calculate the highest common divisor of 108 and 1323. 27 Calculate the highest common divisor of 1 and 25. 1 Calculate the highest common divisor of 77 and 176. 11 What is the greatest common factor of 3556 and 28? 28 Calculate the greatest common factor of 48 and 208. 16 Calculate the highest common divisor of 18156 and 408. 204 Calculate the greatest common divisor of 76 and 2052. 76 Calculate the highest common divisor of 60 and 1780. 20 What is the greatest common divisor of 34 and 272? 34 What is the highest common divisor of 58 and 20242? 58 What is the greatest common factor of 50 and 10? 10 Calculate the highest common divisor of 141 and 1363. 47 What is the highest common divisor of 19241 and 142? 71 What is the greatest common divisor of 8 and 1096? 8 Calculate the highest common factor of 4543 and 231. 77 Calculate the greatest common divisor of 117 and 65. 13 What is the highest common divisor of 36 and 24? 12 What is the greatest common divisor of 2205 and 35? 35 What is the greatest common divisor of 604 and 8? 4 Calculate the highest common divisor of 969 and 51. 51 What is the highest common divisor of 148 and 185? 37 What is the greatest common factor of 322 and 46? 46 Calculate the highest common divisor of 24272 and 888. 296 What is the greatest common factor of 75 and 355? 5 Calculate the highest common divisor of 36 and 27. 9 Ca
{ "pile_set_name": "DM Mathematics" }
uppose 2*v + 5*s = -3*v + 20, 4*v = 2*s + 46. What is the least common multiple of t and (3/v)/((-3)/(-27))? 33 Let h = -3092/7 + 111389/252. Calculate the common denominator of h and 4074/12416*-2*(14/6 + -2). 288 Suppose -3*m = -76 - 32. Let q = m - -72. Calculate the lowest common multiple of 5 and q. 540 Let k = -240 - -57. Let q = k - -188. What is the lowest common multiple of -6*1/(1 + -2) and q? 30 Suppose 2*k = 3*s - 274, -1 = s + 3*k - 74. Let i = 69 + -37. Calculate the lowest common multiple of s and i. 352 Let y = 53 + -30. Suppose 3*u - 10 = 2*b + 36, u = 5*b + 11. Let d = y - u. What is the lowest common multiple of 11 and d? 77 Let m = 77099 + -243660. Let r = m - -80948699/486. Calculate the common denominator of r and 29/2. 486 What is the common denominator of 21/296 and (-2)/(-5) - (18 + 207991/(-11760))? 12432 Let b(p) = 3*p**2 - 53*p - 270. Calculate the least common multiple of 2120 and b(22). 4240 Let h(z) = z**2 - 17. Let k be h(8). Suppose 5*q + k = 82. Suppose -6*m = -q*m + 22. What is the least common multiple of 16 and m? 176 Let y(r) = 2*r - 52. Let f be y(29). Suppose 0 = 2*d + 5*s - 12652, f*d - 31630 = d + 2*s. Let t = d + -38053/6. Find the common denominator of t and 58/27. 54 Calculate the common denominator of (28/80)/((-1)/(-4)) and 11/55 - (-2253)/(-2940). 980 Let d be (24/(-52))/3 + 290/(-481). Let o = d + 1240/1443. What is the common denominator of o and -37/21? 273 Find the common denominator of 6 + -2 - (-5)/42*(-12)/(-20) and (-2)/(-4) - 94/18. 126 Let q(f) = f**3 - 76*f**2 + 215*f + 325. Calculate the least common multiple of q(73) and 176. 528 Suppose -7*o = -0 + 42. What is the common denominator of (-5553)/(-1824) + (-9)/o*-2 and 17/4? 608 Let z = -38 + 34. Find the common denominator of (-1)/48*(1 - 75/(-35)) and ((z/(-10))/2)/((-24)/(-50)). 168 Let f = -26 + -4. Let n be (-380)/f - (2 + 7/(-3)). Suppose 5*s = 5*b - 3 + n, 3*s - 8 = 2*b. What is the lowest common multiple of b and 20? 20 Let o(u) = -2*u - 9. Let y be (-346)/(-8) + 9/12. Let r = y - 35. What is the least common multiple of r and o(-15)? 63 Let i = -1927/3 - -629. Let q = 1/1157 + -22029/53222. Find the common denominator of q and i. 138 Suppose 5*c + 0*i = 3*i + 56, -4*i - 48 = -4*c. Let j(p) = -3*p**2 + 17*p + 2. Let g be j(3). Let y = 55 - g. What is the smallest common multiple of c and y? 290 Suppose 3208*z - 3204*z = 248. Suppose -a - 14 = 2*d - z, 24 = d + 4*a. Let k(q) = 2*q**2 + 2*q - 2. Calculate the lowest common multiple of d and k(-3). 120 Suppose 3*l = -2*g + 3, -4*l = -2*g + 3*g - 9. Let p(a) = -4*a**3 - 376*a**2 + 9. Calculate the lowest common multiple of p(-94) and l. 9 Suppose -d - d = 3*a - 668, 1368 = 4*d - 2*a. Let u = d - 329. What is the lowest common multiple of u and 82? 902 Suppose 10 = m - 2*a, 683*m + 4*a + 34 = 686*m. Calculate the smallest common multiple of (-374)/(-4) - 2/(-4) and m. 658 Suppose -4*j + 3*j = -15. Suppose -b - 5 = -2*l, -l + 4*b - b = -j. Suppose l = -11*u + 12*u - 18. Calculate the least common multiple of 6 and u. 18 Let t = -10713 - -835607/78. Find the common denominator of t and 55/5031. 10062 Let o = -376828951/80333672 + 4/528511. Let j = -9/152 + o. What is the common denominator of j and 1/3*(-231)/(-8)? 8 What is the lowest common multiple of (-74 + 54)/(15/(-78)) and -2*(1 + 82/(-4))? 312 Let s = 65709453 - 2167953677/33. Let l = s - 13886. What is the common denominator of l and -43/5? 165 Let a = 82106/25725 - 242/75. What is the common denominator of a and 82/63? 3087 Let s = -346 + 370. Calculate the least common multiple of s and ((-3)/(-10)*16)/((-252)/(-1680)). 96 Let u(d) = -25*d - 28. Let h be 3 - 324/14 - 1/(-7). Calculate the smallest common multiple of u(h) and 8. 472 Let j = -2677 - -16001/6. Let h(w) = w**2 + 9*w - 3. Let k be h(-9). What is the common denominator of j and (21/(-6) - k)/(3/134)? 6 Let b(v) = 5*v + 29. Let a be b(-5). Let q = 3388 + -149091/44. Find the common denominator of q and (3 - 286/24) + a. 132 Let h(l) = 3*l**2 - 47*l + 2. Suppose -48*y + 450 = -43*y. Calculate the lowest common multiple of h(16) and y. 90 Suppose 73*a - 82*a - 3834 = 0. Let n = -576 - -6845/12. What is the common denominator of n and ((-49)/(-1617))/(4/a)? 132 Let q = 89 + -85. Let v(y) = -y**3 + 4*y**2 + 2. Let m = 3 - -6. What is the smallest common multiple of m and v(q)? 18 Let b be 1 - 3908/(-192)*3. Let o = -4907/80 + b. Find the common denominator of -49/40 and o. 40 Suppose 2408 = -104*n + 108*n. Let a = n - 3012/5. What is the common denominator of -36/11 and a? 55 Suppose -3*r - 1 = -k + 6, 4*r - 35 = -5*k. Let i(d) = d**2 - 316*d - 1931. What is the smallest common multiple of k and i(-6)? 7 Let a(b) = -48*b + 35 + 13 - 51*b + 101*b. Calculate the lowest common multiple of a(-7) and 16. 272 Suppose 6*o + 10 = o. What is the smallest common multiple of 3 + (117/45 - o/5) and 25 - (27/3)/3? 66 Let l = -171/50 - 1077/25. Find the common denominator of -53/720 and l. 720 Suppose -2*y - 5 = 5*u, 4*y + 4*u = 10 - 14. Suppose 4*j + 5*f - 57 = y, f - 13 = -7*j + 6*j. What is the lowest common multiple of j and 4? 8 Let f = -8 + 70. Let a = f + -108. Let u = -244165/52 + 18767/4. What is the common denominator of a and u? 26 Let h = 41010289687/7776 + -5273957. What is the common denominator of -75/8 and h? 7776 Let s = 1086/36785 + -1/1051. Find the common denominator of s and -31/150. 1050 Calculate the common denominator of ((-1)/(-3) + 14)/((-440)/15) and -107/338. 14872 Suppose 2*v = -5*k + 63 + 29, -4*k - 8 = 0. Let i be v/((6/7 - 0) + -1). Find the common denominator of (-2 - i/54) + 1 and -151/30. 90 Let m = -3557509/63 + 56467. Find the common denominator of (-6)/3 - 0 - (-3)/(945/985) and m. 63 Let v = 114 + -126. Let h(m) = m**2 + 8*m - 22. Let s be h(v). Let k(a) = a**3 - 27*a**2 + 29*a - 42. Calculate the smallest common multiple of 2 and k(s). 36 Let v be -28 - (-7 + (-28)/(-4)). Calculate the least common multiple of 6 and (24/v)/(6/(-56)). 24 What is the common denominator of ((-44)/(-64152))/(801/399 + -2) and 101/72? 5832 What is the least common multiple of 4/7 + ((-1098)/(-14) - -1) and 56? 560 Let l = -7564 - -121071/16. What is the common denominator of 51/220 and l? 880 Let f = -22673/18 - 6722/9. Let t = -1970 - f. Find the common denominator of 82/117 and t. 234 Let m = -17 + 21. Suppose -5*h + m*d + 4 = -h, -4*h + 3*d + 5 = 0. What is the common denominator of 1*(1 + h) + (-3978)/432 and 19/33? 264 Let p = 4647 - 46423/10. Let m = -23/144 + 4171/720. Find the common denominator of m and p. 30 Calculate the common denominator of ((-34)/18 - -2)*3854/820 and -107/180. 180 Let w = -25 + 34. Suppose -39*g = 72*g - 777. What is the smallest common multiple of w and g? 63 Suppose 2*d - 6 = -4*x - 4, 3*x = 2*d + 19. Suppose 4*q + m = 81, q - 4*q = -x*m - 57. What is the smallest common multiple of q and 106? 1060 Suppose 3*w = -2*f + 501, 5*w = -62*f + 63*f - 257. What is the least common multiple of f and 504? 504 Let s be 7 - 712/104 - (-1096)/(-26). Suppose -2*p - p = 198. Let h = s - p. What is the least common multiple of h and 22? 264 Suppose -b = -0*j + 2*j + 2, -3*b = 3*j. Let w(k) = -33*k + 2. What is the smallest common multiple of 4 and w(j)? 68 Let a(l) = 2*l + 4. Let v be a(-6). Let y be 1/(((-8)/180)/(v/(-3))). What is the common denominator of -45/22 and 2118/y + (-1)/5? 22 Let z = 177431 - 86231567/486. What is the common denominator of z and -119/18? 486 Let q(g) = 1153*g + 150. Let c be q(41). Let l = c - 3414529/72. Find the common denominator of l and 59/4. 72 Find the common denominator of (4/6*(-200)/24640)/(24/(-350)) and 37/180. 7920 Let x be -19188*(-4)/((-60)/325). Let t = 5846165/14 + x. Let d = t - 1840. Find the common denominator of d and 145/6. 42 Suppose 0 = -2*k - 8, -22*a - 4618 = -27*a - 3*k. Calculate the lowest common multiple of a and 1. 926 Let g(b) = -115*b + 3425. What is the least common multiple of 8 and g(-23)? 24280 Let w(q) = q**2 + 10*q + 20. Let h be w(-8). Suppose 1 = 3*i + 16, 20 = 5*j + h*i. Suppose -34*u + 26 = -21*u. Calculate the least common multiple of j and u. 8 Let j = -121385 + 11653063/96. Find the common denominator of -127/144 and j. 288 Let h = 23 - 23. Suppose h = -12*a + 15 +
{ "pile_set_name": "DM Mathematics" }
equence nnf. 1/340 Two letters picked without replacement from ffwffffwfwffwfwffff. What is prob of sequence ff? 91/171 Calculate prob of sequence kd when two letters picked without replacement from {z: 3, k: 1, p: 2, d: 6}. 1/22 Three letters picked without replacement from {x: 2, a: 5, z: 3, w: 2, i: 1, o: 6}. What is prob of sequence zox? 2/323 What is prob of sequence mlf when three letters picked without replacement from lfmosff? 1/70 What is prob of sequence dr when two letters picked without replacement from aajdzzazhrr? 1/55 Two letters picked without replacement from ppatpaappabrparaap. What is prob of sequence ab? 7/306 What is prob of sequence cx when two letters picked without replacement from {v: 6, c: 5, x: 2}? 5/78 Three letters picked without replacement from {r: 3, g: 4, o: 2}. Give prob of sequence rgo. 1/21 Calculate prob of sequence jjhk when four letters picked without replacement from {y: 2, h: 3, t: 1, k: 3, j: 9}. 3/340 Calculate prob of sequence wb when two letters picked without replacement from yyyyhbiyw. 1/72 What is prob of sequence kw when two letters picked without replacement from cekmwee? 1/42 Calculate prob of sequence bs when two letters picked without replacement from {s: 5, b: 2}. 5/21 Four letters picked without replacement from {y: 1, o: 1, j: 3, b: 3, p: 6, z: 6}. Give prob of sequence zzpy. 1/646 What is prob of sequence lkl when three letters picked without replacement from vvvkhhlvlvhjvvglkg? 1/408 Two letters picked without replacement from {y: 1, i: 1, x: 1}. What is prob of sequence iy? 1/6 What is prob of sequence ih when two letters picked without replacement from hiweeuzz? 1/56 What is prob of sequence ipi when three letters picked without replacement from {p: 4, i: 2, q: 4}? 1/90 Calculate prob of sequence iai when three letters picked without replacement from {a: 10, c: 1, i: 3, e: 5, z: 1}. 1/114 Three letters picked without replacement from rrwwwrrwmmrrwrrrwrwr. Give prob of sequence rmr. 11/342 Calculate prob of sequence zerz when four letters picked without replacement from zerrrrrreeexzrzzzz. 7/612 Three letters picked without replacement from {l: 3, m: 2, k: 7}. What is prob of sequence lkk? 21/220 Two letters picked without replacement from {s: 4, k: 2, m: 1}. What is prob of sequence ms? 2/21 Three letters picked without replacement from {c: 2, p: 4, d: 1}. What is prob of sequence ppc? 4/35 What is prob of sequence ph when two letters picked without replacement from hhhpqpyppy? 2/15 What is prob of sequence jkj when three letters picked without replacement from krkmkjbbjkkkok? 1/156 Three letters picked without replacement from {t: 2, v: 1, r: 2, s: 1, z: 1, u: 1}. What is prob of sequence ttr? 1/84 Three letters picked without replacement from ppfpfpppppphfppp. Give prob of sequence fpp. 33/280 Two letters picked without replacement from rffbf. What is prob of sequence rf? 3/20 Calculate prob of sequence buj when three letters picked without replacement from ububujbubb. 1/36 What is prob of sequence yjj when three letters picked without replacement from jyjjy? 1/5 Two letters picked without replacement from hffwwhwhwwwbwf. Give prob of sequence hh. 3/91 Calculate prob of sequence xdt when three letters picked without replacement from {s: 2, d: 3, t: 6, x: 2}. 3/143 What is prob of sequence eent when four letters picked without replacement from etntetfttetetettl? 3/952 Two letters picked without replacement from {i: 2, z: 1, v: 1, e: 2, w: 1}. What is prob of sequence zi? 1/21 Calculate prob of sequence neen when four letters picked without replacement from {h: 3, n: 10, w: 1, e: 2}. 3/728 Two letters picked without replacement from {y: 12, h: 1, u: 1, g: 2, i: 2}. What is prob of sequence ig? 2/153 What is prob of sequence ua when two letters picked without replacement from tuumjuammj? 1/30 Calculate prob of sequence odx when three letters picked without replacement from {g: 2, d: 1, o: 3, n: 4, x: 1}. 1/330 Calculate prob of sequence zs when two letters picked without replacement from ffrzrfzrzfzzsszzzz. 1/17 Calculate prob of sequence gx when two letters picked without replacement from xgixxxxgxxxjxxxxx. 13/136 Three letters picked without replacement from axxsxazzhaafafaaaf. Give prob of sequence xxf. 1/272 Calculate prob of sequence xx when two letters picked without replacement from {d: 1, m: 1, x: 2, s: 1}. 1/10 Two letters picked without replacement from {q: 2, f: 1, w: 2, z: 1, l: 5, t: 2}. What is prob of sequence tt? 1/78 Four letters picked without replacement from uzzqzqqquzu. What is prob of sequence zuzu? 1/110 Calculate prob of sequence dd when two letters picked without replacement from {d: 2, l: 2, c: 4}. 1/28 What is prob of sequence ej when two letters picked without replacement from {e: 1, t: 2, d: 1, j: 2, c: 4}? 1/45 Four letters picked without replacement from erreegerwradr. Give prob of sequence awdr. 1/3432 Calculate prob of sequence etn when three letters picked without replacement from tknie. 1/60 What is prob of sequence xxtx when four letters picked without replacement from xxxxxxxxxtxxtxtxxx? 91/816 Calculate prob of sequence qq when two letters picked without replacement from pbqppjqqqbdqbbbbbjb. 10/171 What is prob of sequence cfdd when four letters picked without replacement from lcldcdcclclfldcdcc? 1/765 Three letters picked without replacement from vqjqndqnqjvf. What is prob of sequence vqv? 1/165 Calculate prob of sequence dhd when three letters picked without replacement from hwwhdwmdwmhw. 1/220 Two letters picked without replacement from {x: 3, z: 1, g: 2, d: 6}. What is prob of sequence zd? 1/22 Three letters picked without replacement from {h: 1, o: 1, j: 2, x: 1, y: 2}. What is prob of sequence yjo? 2/105 What is prob of sequence ioi when three letters picked without replacement from aaiaaoaiaa? 1/360 Calculate prob of sequence rpq when three letters picked without replacement from qxspxrqspqqs. 1/165 Calculate prob of sequence mm when two letters picked without replacement from {m: 15, b: 3}. 35/51 Calculate prob of sequence qqu when three letters picked without replacement from {u: 5, q: 8}. 70/429 Two letters picked without replacement from {y: 2, w: 1, x: 1}. Give prob of sequence yy. 1/6 Three letters picked without replacement from {l: 1, j: 4, z: 3, k: 2, f: 3, x: 4}. Give prob of sequence lxf. 1/340 Three letters picked without replacement from nhehneejhehhhjj. What is prob of sequence nhh? 2/91 What is prob of sequence nrj when three letters picked without replacement from {j: 2, r: 3, n: 3}? 3/56 Two letters picked without replacement from tabmacj. Give prob of sequence aa. 1/21 Calculate prob of sequence uu when two letters picked without replacement from {d: 3, u: 4, a: 3, k: 3, z: 4}. 3/68 Calculate prob of sequence lrlr when four letters picked without replacement from lllrlrlrrll. 7/110 Three letters picked without replacement from {p: 2, d: 4, s: 4}. Give prob of sequence ssp. 1/30 What is prob of sequence lr when two letters picked without replacement from rrrrprrrll? 7/45 Two letters picked without replacement from {l: 1, v: 3, b: 1, o: 1, f: 1}. What is prob of sequence fb? 1/42 Calculate prob of sequence aae when three letters picked without replacement from {e: 6, v: 8, a: 3}. 3/340 Three letters picked without replacement from {j: 1, b: 3, n: 4, d: 6, t: 2}. Give prob of sequence btd. 3/280 Calculate prob of sequence ezl when three letters picked without replacement from {z: 1, l: 1, y: 1, e: 1, i: 1}. 1/60 Three letters picked without replacement from uuwuwuwwurrwpwwtww. Give prob of sequence rup. 5/2448 Calculate prob of sequence pvxp when four letters picked without replacement from {x: 2, p: 2, m: 8, v: 2}. 1/3003 Four letters picked without replacement from fmjwh. Give prob of sequence hwmj. 1/120 Four letters picked without replacement from {d: 1, a: 4, s: 1, y: 2, j: 3}. Give prob of sequence ydjy. 1/1320 Three letters picked without replacement from dtfsndst. Give prob of sequence sst. 1/84 What is prob of sequence jf when two letters picked without replacement from ljnjfjjn? 1/14 Two letters picked without replacement from {r: 2, i: 3}. Give prob of sequence ir. 3/10 Calculate prob of sequence yee when three
{ "pile_set_name": "DM Mathematics" }
o the nearest integer? 153 What is the square root of 6290 to the nearest integer? 79 What is the square root of 82166 to the nearest integer? 287 What is the third root of 1223 to the nearest integer? 11 What is the fifth root of 6983 to the nearest integer? 6 What is 264 to the power of 1/2, to the nearest integer? 16 What is the third root of 19074 to the nearest integer? 27 What is the square root of 3 to the nearest integer? 2 What is the sixth root of 3992 to the nearest integer? 4 What is the square root of 86 to the nearest integer? 9 What is the eighth root of 188 to the nearest integer? 2 What is the square root of 36639 to the nearest integer? 191 What is 705 to the power of 1/9, to the nearest integer? 2 What is the square root of 39488 to the nearest integer? 199 What is 2695 to the power of 1/10, to the nearest integer? 2 What is the cube root of 616 to the nearest integer? 9 What is 2448 to the power of 1/3, to the nearest integer? 13 What is 2028 to the power of 1/3, to the nearest integer? 13 What is 3269 to the power of 1/5, to the nearest integer? 5 What is 2120 to the power of 1/8, to the nearest integer? 3 What is the eighth root of 761 to the nearest integer? 2 What is 319 to the power of 1/7, to the nearest integer? 2 What is the seventh root of 2707 to the nearest integer? 3 What is 1283 to the power of 1/6, to the nearest integer? 3 What is the square root of 782 to the nearest integer? 28 What is the seventh root of 10488 to the nearest integer? 4 What is the cube root of 12693 to the nearest integer? 23 What is 11861 to the power of 1/9, to the nearest integer? 3 What is 387 to the power of 1/2, to the nearest integer? 20 What is the fourth root of 968 to the nearest integer? 6 What is the square root of 16274 to the nearest integer? 128 What is 2066 to the power of 1/10, to the nearest integer? 2 What is 3363 to the power of 1/4, to the nearest integer? 8 What is 4887 to the power of 1/2, to the nearest integer? 70 What is the square root of 10059 to the nearest integer? 100 What is the seventh root of 1564 to the nearest integer? 3 What is the cube root of 42650 to the nearest integer? 35 What is the seventh root of 62961 to the nearest integer? 5 What is 59971 to the power of 1/8, to the nearest integer? 4 What is the eighth root of 536 to the nearest integer? 2 What is 977 to the power of 1/2, to the nearest integer? 31 What is 746 to the power of 1/2, to the nearest integer? 27 What is the fifth root of 2983 to the nearest integer? 5 What is 164680 to the power of 1/3, to the nearest integer? 55 What is the eighth root of 46912 to the nearest integer? 4 What is 7594 to the power of 1/2, to the nearest integer? 87 What is the eighth root of 1265 to the nearest integer? 2 What is the square root of 1241 to the nearest integer? 35 What is 887 to the power of 1/8, to the nearest integer? 2 What is the tenth root of 377 to the nearest integer? 2 What is 1592 to the power of 1/2, to the nearest integer? 40 What is 2271 to the power of 1/2, to the nearest integer? 48 What is the seventh root of 4521 to the nearest integer? 3 What is the cube root of 1561 to the nearest integer? 12 What is 14296 to the power of 1/4, to the nearest integer? 11 What is 5962 to the power of 1/7, to the nearest integer? 3 What is the third root of 235 to the nearest integer? 6 What is 350 to the power of 1/8, to the nearest integer? 2 What is the square root of 2037 to the nearest integer? 45 What is 757 to the power of 1/3, to the nearest integer? 9 What is the seventh root of 5409 to the nearest integer? 3 What is 66449 to the power of 1/8, to the nearest integer? 4 What is the third root of 7513 to the nearest integer? 20 What is 5964 to the power of 1/8, to the nearest integer? 3 What is the fourth root of 34578 to the nearest integer? 14 What is the third root of 97284 to the nearest integer? 46 What is the sixth root of 1388 to the nearest integer? 3 What is the cube root of 12273 to the nearest integer? 23 What is 1545 to the power of 1/10, to the nearest integer? 2 What is the seventh root of 17624 to the nearest integer? 4 What is the square root of 47847 to the nearest integer? 219 What is 909 to the power of 1/10, to the nearest integer? 2 What is the sixth root of 8550 to the nearest integer? 5 What is 848 to the power of 1/2, to the nearest integer? 29 What is the fourth root of 1985 to the nearest integer? 7 What is 839 to the power of 1/2, to the nearest integer? 29 What is 26445 to the power of 1/2, to the nearest integer? 163 What is the square root of 15305 to the nearest integer? 124 What is the third root of 10614 to the nearest integer? 22 What is 4507 to the power of 1/2, to the nearest integer? 67 What is 777 to the power of 1/2, to the nearest integer? 28 What is the square root of 4447 to the nearest integer? 67 What is 6069 to the power of 1/6, to the nearest integer? 4 What is 6950 to the power of 1/2, to the nearest integer? 83 What is the square root of 14567 to the nearest integer? 121 What is the cube root of 46024 to the nearest integer? 36 What is 629 to the power of 1/9, to the nearest integer? 2 What is the third root of 15893 to the nearest integer? 25 What is the square root of 24681 to the nearest integer? 157 What is 39062 to the power of 1/3, to the nearest integer? 34 What is the square root of 44598 to the nearest integer? 211 What is 143550 to the power of 1/2, to the nearest integer? 379 What is the square root of 297 to the nearest integer? 17 What is the square root of 2078 to the nearest integer? 46 What is 31996 to the power of 1/2, to the nearest integer? 179 What is the tenth root of 65135 to the nearest integer? 3 What is 33329 to the power of 1/2, to the nearest integer? 183 What is 5449 to the power of 1/4, to the nearest integer? 9 What is the fifth root of 1740 to the nearest integer? 4 What is 8178 to the power of 1/5, to the nearest integer? 6 What is the cube root of 44590 to the nearest integer? 35 What is 1603 to the power of 1/3, to the nearest integer? 12 What is the sixth root of 15922 to the nearest integer? 5 What is the third root of 63294 to the nearest integer? 40 What is 3640 to the power of 1/8, to the nearest integer? 3 What is 10201 to the power of 1/7, to the nearest integer? 4 What is the cube root of 19181 to the nearest integer? 27 What is 1457 to the power of 1/3, to the nearest integer? 11 What is 3622 to the power of 1/2, to the nearest integer? 60 What is the sixth root of 402 to the nearest integer? 3 What is the third root of 854 to the nearest integer? 9 What is 3853 to the power of 1/2, to the nearest integer? 62 What is 56687 to the power of 1/3, to the nearest integer? 38 What is the tenth root of 15198 to the nearest integer? 3 What is 83318 to the power of 1/4, to the nearest integer? 17 What is 1965 to the power of 1/3, to the nearest integer? 13 What is the square root of 2424 to the nearest integer? 49 What is the cube root of 28281 to the nearest integer? 30 What is 1892 to the power of 1/10, to the nearest integer? 2 What is the tenth root of 22137 to the nearest integer? 3 What is 28879 to the power of 1/10, to the nearest integer? 3 What is the tenth root of 6625 to the nearest integer? 2 What is 79078 to the power of 1/2, to the nearest integer? 281 What is 3445 to the power of 1/10, to the nearest integer? 2 What is 5822 to the power of 1/2, to the nearest integer? 76 What is the square root of 981 to the nearest integer? 31 What is the square root of 22199 to the nearest integer? 149 What is the sixth root of 446 to the nearest integer? 3 What is the sixth root of 1959 to the nearest integer? 4 What is 812 to the power of 1/6, to the nearest integer? 3 What is 89138 to the power of 1/2, to the nearest integer? 299 What is 539 to the power of 1/6, to the nearest integer? 3 What is the square root of 11448 to the nearest integer? 107 What is 55981 to the power of 1/3, to the nearest integer? 38 What is the fourth root of 686 to the nearest integer? 5 What is the third root of 3797 to the nearest integer? 16 What is the cube root of 2081 to the nearest integer? 13 What is 5193 to the power of 1/2, to the nearest integer? 72 What is the square
{ "pile_set_name": "DM Mathematics" }
common factor of k and 27? 27 Suppose 0 = 2*a - m - 1, 5*a - 6*m = -4*m + 2. Let r(s) = -s**3 - s**2 + 10. Let z be r(a). Calculate the greatest common factor of z and 20. 10 Let w(f) = -3*f + 7. Let l(v) = 9*v - 21. Let a(z) = -6*l(z) - 17*w(z). Let x be a(-2). Calculate the highest common divisor of 52 and x. 13 Let h(l) = -l**2 - 23*l - 24. Let y be h(-16). Suppose -2*j + 0*f + 5*f = -37, 0 = 2*f + 6. Calculate the greatest common divisor of j and y. 11 Suppose 4*z = 11 - 11. Suppose -2*k = -q + 216, z = -2*q - 2*q + 2*k + 864. Calculate the highest common divisor of q and 54. 54 Let o = 458 + -370. Calculate the greatest common divisor of o and 22. 22 Let n(u) = -20*u + 126. Let w be n(6). Let t be (66/(-15) - -2)*-45. Suppose -i - t = -3*i. Calculate the highest common factor of w and i. 6 Let t = 16 + -3. Let s = 47 + -13. Let k = 86 - s. What is the greatest common divisor of t and k? 13 Let l(c) = -4*c + 64. Let w be l(-38). What is the highest common divisor of w and 144? 72 Suppose 2*n = -n + 72. Let l = -52 - -232. Suppose 4*s = s + l. Calculate the greatest common divisor of n and s. 12 Let r = -466 + 474. Calculate the greatest common factor of 6 and r. 2 Suppose 0 = -14*z + 681 - 65. What is the highest common factor of z and 32? 4 Suppose 0 = -14*k + 10*k. Suppose k = -2*j, -n - 4*j + 7 = -0*n. Let r = -121 + 177. What is the greatest common divisor of n and r? 7 Let p = 8 - -11. Suppose -4*j - 3 = 3*h - 1, h + 5*j + p = 0. Let b be -1 - ((-28 - -1) + 2). What is the greatest common divisor of b and h? 6 Suppose f - 80 = -4*g, -f = -4*g + 19 + 53. Let p be 4/(-2) - (-8)/(-2). Let x be 2/p*-3*152. What is the highest common divisor of g and x? 19 Let f(h) = -h**3 - 12*h**2 - 32*h + 5. Let p be f(-8). Calculate the highest common factor of 75 and p. 5 Let t(z) = z**3 - 9*z**2 + 12*z. Let p be t(8). Let d = -8 + p. Calculate the greatest common divisor of d and 32. 8 Let a = 1298 + -1026. What is the highest common divisor of a and 340? 68 Let t(c) = -13*c - 1. Let r(v) = v**3 + 5*v**2 - 6*v - 2. Let o be r(-6). Let l be t(o). Calculate the highest common factor of 25 and l. 25 Suppose -17*q = -23*q + 4050. What is the greatest common divisor of 27 and q? 27 Suppose 256*k = 260*k - 12. Suppose m - 4*m = x - 19, -k*x + 2*m = -2. What is the highest common factor of x and 20? 4 Let h = -372 - -544. Let s = 356 - h. What is the highest common divisor of 23 and s? 23 Suppose -90*t - 2548 = -104*t. What is the greatest common factor of 104 and t? 26 Let a be (-3 + (-50)/4)*-2. Suppose -a*s - 1530 = -36*s. Calculate the greatest common factor of s and 34. 34 Suppose 0 = -3*x - 4*n - 24, -9 = -4*x - n - 28. Let h be 4/x*(0 + -1). Suppose 2 + 3 = k. What is the greatest common factor of k and h? 1 Suppose -5*h - 4*z + 2 = 0, -1 = 2*z + 3. Let o be h*(27/3 - 4). What is the greatest common divisor of o and 10? 10 Let h(x) = -30*x - 140. Let k be h(-7). Calculate the greatest common divisor of 10 and k. 10 Let v(u) = -15*u**3 - u - 6. Let z be v(-2). What is the highest common factor of 145 and z? 29 Let q be (-12 + 84)/8 + -4. Let x = -92 - -142. Calculate the greatest common factor of x and q. 5 Suppose 11*w - 15 = 14*w. Let b = w - -21. Calculate the highest common divisor of 80 and b. 16 Let s be (-12)/(-18) + (1 - 1655/(-15)). What is the highest common divisor of 240 and s? 16 Suppose -2*d = -4*d + 34. Let w = -14841 - -14909. What is the highest common factor of d and w? 17 Let f(k) = 2*k - 2. Let j be f(3). Let y be 53 - (-9)/((-9)/j). Calculate the greatest common factor of y and 7. 7 Suppose -5*t + 7 = -23. Let g = -58 + 94. Let p = 18 + g. What is the highest common divisor of t and p? 6 Suppose 10*j - 6216 = -4*j. Calculate the greatest common divisor of j and 12. 12 Let s be 4/(-18) + 8840/90. Calculate the highest common divisor of 14 and s. 14 Let h(u) = -4*u**3 - 19*u**2 + 3*u + 3. Let q be h(-6). What is the highest common divisor of q and 99? 33 Let v be (1 - -26)*10/30. Let w = v - 2. Suppose -w*k = -2*k - 45. What is the highest common divisor of k and 9? 9 Suppose -21*y - 22*y + 1204 = 0. Calculate the highest common divisor of 64 and y. 4 Suppose 21*y - 20*y - 22 = -2*j, 5*y = 2*j + 158. What is the highest common factor of y and 255? 15 Let d(i) = 5*i**2 - 9*i. Suppose -3*j = u + 3, 0 = 3*u - 2*j - 12 - 1. Let f be d(u). Let c = 10 - 1. What is the greatest common divisor of c and f? 9 Suppose 14*p - 17*p = -48. Suppose -p*x = -13*x - 21. Let w be -1*(0 + 2) + 9. Calculate the highest common divisor of w and x. 7 Suppose -4*n + 37 = 3*x, n = 3*n - 8. Suppose 0 = 2*j + 3*j - 2*j. Suppose -2*m + j*m = -56. Calculate the highest common divisor of x and m. 7 Suppose 6*z - 3*z = -3*c + 12, 0 = 4*c + z - 7. Let f = 27 + c. Let k be (f/(-8) + 3)*-44. Calculate the greatest common divisor of 66 and k. 22 Suppose -3*q = 4*x + 19, 2*x = -5*q - 0*x - 27. Let p = q - -8. Suppose 29 = 2*k - p. What is the greatest common divisor of k and 32? 16 Let l(p) = -p**3 - 4*p**2 + 6*p + 5. Let h be l(-5). Suppose -1210 = -11*r - h*r. Calculate the highest common divisor of r and 10. 10 Suppose -121 = 9*o - 20*o. Calculate the greatest common factor of 979 and o. 11 Suppose -41 = -12*h + 91. Calculate the greatest common divisor of 44 and h. 11 Let g be 774/(-4)*(-8)/6*11. What is the greatest common factor of 66 and g? 66 Suppose -3*u = -426 + 48. Let n = -87 + u. What is the highest common divisor of n and 39? 39 Let i be (-42)/6 - (-1 - 81). What is the greatest common divisor of i and 840? 15 Suppose 2*b - 5*d = -48, 5*b = 2*b - 2*d - 72. Let l be 22/(-121) + b/(-11). Let s be (l/(-6))/(3/(-27)). Calculate the greatest common factor of 27 and s. 3 Suppose 8*k = 3*k + 2*b + 1145, -2*k = -3*b - 447. What is the highest common divisor of k and 63? 21 Suppose -5*j + 1 = 2*l + 2, 5 = 2*j - l. Let y be 51/85*(j - -14). Calculate the highest common factor of 1 and y. 1 Suppose -4*y = 3*f - 193, 5*f = -y + 3*f + 42. Calculate the highest common divisor of y and 8. 4 Let s be 2/(-3) - (-926)/3. Suppose 3*f - 167 + 83 = 0. What is the greatest common factor of s and f? 28 Let k be (-1)/(4 - 2634/658). Let l = -194 + k. What is the greatest common divisor of 15 and l? 15 Let o be (-54)/(-13) - 26/169. What is the highest common divisor of o and 2? 2 Let f be -3*5/10 - 10782/(-12). Calculate the greatest common divisor of f and 138. 69 Let i(a) = -13*a - 19. Suppose -18*j - 65 = -5*j. Let s be i(j). What is the greatest common factor of 2 and s? 2 Let a(l) = -l**3 - l - 1. Let h(t) = t**3 + 7*t**2 + 21*t + 13. Let w(k) = 2*a(k) + h(k). Let m be w(9). Calculate the greatest common factor of m and 220. 20 Let z be 5 + 72/(-15) - 316/(-20). Calculate the greatest common factor of 2096 and z. 16 Suppose -19 = -5*s + 3*u, 2*u + 4 = -9*s + 8*s. Suppose 0 = s*y + 9*y - 352. What is the highest common factor of 80 and y? 16 Suppose -6*x = 266 + 52. Let o = -52 - x. What is the highest common divisor of o and 1? 1 Let b = -12 + 14. Let c be b/3*3/2. Let u be (-4)/(-8)*18*c. Calculate the highest common factor of u and 18. 9 Let b(j) = -22*j**3 + 11*j**2 + 26*j + 1. Let y be b(-2). What is the greatest common divisor of 1 and y? 1 Let f(q) = -q**3 + q**2 + 18*q + 33. Let y be f(-2). What is the highest common divisor of y and 1521? 9 Suppose 2*t = n + 175, 0 = t - 5*n - 92 + 27. Let d be (1 + 0)*0 - -19. Let y = d + -1. Calculate the highest common factor of t and y. 18 Let f be (3/6)/(-14 - (-846)/60). What is the greatest common divisor of f and 305? 5 Let f be (40/3)/(10/75). Calculate the greatest common divisor of 240 and f. 20 Let r(d) = d**2 + d - 4. Let x = -57 + 49. Let l be r(x). What is the highest common divisor of 13 and l? 13 Suppose 2*p - 14 = -0. Suppose 0 = p*y - 13*y + 54. Calculate the greatest common divisor of y and 63. 9 Let m = -89 - -177. Let q be ((-60)/(-8) - 0)/(4/m). What is the greatest common divisor of 15 and q? 15 Let i = 41 + -39. Suppose i*x = 5*c + 22, 3*c = 4*x + 2*c - 26. What is the highest common factor of x and 6? 6 Let x = 11 - 2. Suppose -147 = -3*m + 4*z, 5*m + 5*z - 121 - 89 = 0. Calculate the greatest common factor of x and m. 9 Suppose -3*n + 460 = -n. Let o = n - 144. What is the highest common divisor of 43
{ "pile_set_name": "DM Mathematics" }
t is the next term in -1, 8, 27, 56, 95, 144? 203 What is next in 0, 5, 10, 15, 20? 25 What comes next: 28, 184, 606, 1426, 2776, 4788, 7594? 11326 What is next in 388, 760, 1132, 1504, 1876? 2248 What is next in 38462, 38459, 38446, 38417, 38366, 38287, 38174, 38021? 37822 What is next in -34, -67, -100, -133, -166, -199? -232 What is next in 234, 464, 694, 924? 1154 What is the next term in 10, -40, -176, -440, -874, -1520? -2420 What comes next: 664, 666, 668, 670, 672, 674? 676 What is next in 97, 201, 309, 421, 537? 657 What comes next: -68, -71, -74, -77, -80, -83? -86 What is the next term in -29, -7, 31, 91, 179, 301? 463 What is next in 165, 147, 131, 117, 105, 95? 87 What comes next: -118, -223, -336, -457? -586 What is the next term in 66, 66, 68, 72, 78, 86, 96? 108 What is the next term in 36, 74, 112, 150, 188? 226 What is next in 3, 5, 9, 15, 23? 33 What comes next: 37239, 37241, 37243, 37245, 37247, 37249? 37251 What is next in -15, -53, -125, -237, -395, -605? -873 What is next in -76, -78, -82, -88, -96, -106? -118 What comes next: 1214, 1215, 1216, 1217, 1218, 1219? 1220 What is next in 90, 79, 68? 57 What is the next term in 9, 12, 11, 0, -27? -76 What is next in -37, -75, -113? -151 What is the next term in -182, -171, -146, -101, -30, 73, 214, 399? 634 What is next in 80, 312, 698, 1238? 1932 What is the next term in -2, 156, 590, 1438, 2838, 4928? 7846 What is the next term in 25, 60, 115, 190? 285 What comes next: 25, 38, 55, 70, 77, 70, 43, -10? -95 What comes next: 3006, 3008, 3010, 3012, 3014? 3016 What is next in -72, -58, -26, 30, 116, 238, 402, 614? 880 What is next in 403, 401, 397, 391? 383 What is the next term in -231, -230, -229, -228, -227, -226? -225 What is the next term in -15, 4, 35, 78, 133, 200? 279 What comes next: 202, 402, 602, 802, 1002? 1202 What is the next term in -2464, -2462, -2460? -2458 What is the next term in 117, 119, 125, 135, 149, 167, 189? 215 What is the next term in 27, 34, 51, 84, 139? 222 What is next in -38, -48, -78, -134, -222, -348, -518? -738 What is the next term in 76, 310, 700, 1246, 1948? 2806 What comes next: -21, -8, 45, 162, 367? 684 What is next in 44, 81, 140, 227, 348, 509, 716, 975? 1292 What comes next: 39, 149, 325, 561, 851, 1189, 1569, 1985? 2431 What is next in -276, -1098, -2460, -4356, -6780? -9726 What is next in 43, 83, 119, 151, 179? 203 What comes next: -13, -31, -67, -127, -217, -343, -511? -727 What is next in -67, -62, -43, -4, 61, 158? 293 What comes next: -115, -107, -95, -79, -59, -35? -7 What comes next: 2, 9, 24, 47? 78 What comes next: -13, -26, -47, -76, -113, -158, -211? -272 What is next in 27, 55, 83, 111? 139 What is next in -61, -117, -173, -229, -285? -341 What comes next: -239, -240, -241, -242? -243 What is next in 217, 207, 197, 193, 201, 227? 277 What is next in 42, 58, 106, 204, 370? 622 What is next in -26, -40, -50, -56, -58? -56 What is the next term in 1, 47, 123, 223, 341, 471, 607? 743 What comes next: 7640, 15281, 22922, 30563? 38204 What is next in 144, 292, 438, 582, 724, 864? 1002 What is next in -130, -536, -1218, -2182, -3434, -4980? -6826 What comes next: -40, -50, -72, -112, -176, -270? -400 What is next in -284, -283, -282? -281 What is next in 244, 498, 752? 1006 What comes next: -183, -280, -377, -474? -571 What is the next term in 106, 111, 122, 139? 162 What is the next term in -15, -172, -603, -1446, -2839, -4920? -7827 What is the next term in 3, 31, 59, 87, 115? 143 What comes next: 21, 45, 69, 93, 117? 141 What comes next: -317, -305, -279, -233, -161? -57 What comes next: -230, -239, -248, -257, -266? -275 What is the next term in -21, -38, -51, -60, -65, -66, -63? -56 What comes next: -38, -46, -66, -104, -166, -258, -386, -556? -774 What comes next: -46, -60, -82, -112? -150 What is next in 150, 311, 472, 633? 794 What is the next term in 269, 202, 135, 68, 1, -66? -133 What comes next: 387, 775, 1163? 1551 What is next in -28, -40, -68, -118, -196? -308 What is next in -69, -85, -111, -153, -217, -309, -435, -601? -813 What is next in -1752, -1757, -1762? -1767 What is next in -73, -145, -211, -271, -325, -373, -415? -451 What is the next term in 961, 974, 987, 1000, 1013, 1026? 1039 What comes next: 1126, 1124, 1120, 1114, 1106, 1096? 1084 What comes next: -168, -824, -1918, -3450, -5420, -7828, -10674? -13958 What is the next term in 12, -7, -30, -57, -88, -123, -162? -205 What comes next: -4248, -4247, -4246, -4245? -4244 What comes next: 422, 433, 452, 479, 514, 557, 608? 667 What comes next: -28, -41, -92, -205, -404, -713? -1156 What comes next: 257, 245, 221, 179, 113, 17, -115, -289? -511 What comes next: -69, -90, -119, -150, -177, -194, -195? -174 What is next in 0, -23, -84, -195, -368, -615? -948 What is next in 38, 136, 298, 524, 814, 1168, 1586? 2068 What is the next term in 9, -16, -41? -66 What is the next term in -2365, -2364, -2353, -2326, -2277, -2200, -2089, -1938? -1741 What is the next term in -348, -1399, -3152, -5607, -8764? -12623 What is next in 818, 817, 816, 815? 814 What is the next term in 118, 478, 1078, 1918, 2998, 4318, 5878? 7678 What comes next: 810, 828, 846? 864 What is the next term in 4, 9, 24, 55, 108, 189? 304 What is next in -2382, -2383, -2384, -2385, -2386, -2387? -2388 What comes next: 802, 1592, 2382? 3172 What is next in 170, 342, 516, 692, 870, 1050? 1232 What is the next term in 151, 321, 489, 655, 819? 981 What is next in -693, -695, -707, -735, -785, -863, -975, -1127? -1325 What is the next term in -443, -886, -1325, -1760? -2191 What comes next: 72, 81, 90, 99, 108? 117 What is next in 25, 55, 101, 169, 265, 395, 565? 781 What comes next: -169, -332, -495? -658 What is the next term in -1041, -1042, -1045, -1050? -1057 What is next in 8, 23, 48, 83? 128 What is the next term in -78, -198, -332, -486, -666, -878? -1128 What comes next: -220, -524, -828? -1132 What is the next term in -3, -28, -73, -138? -223 What comes next: -3953, -3950, -3935, -3902, -3845, -3758, -3635? -3470 What is the next term in 10, 0, -8, -14, -18, -20, -20? -18 What is next in 15, 52, 143, 312, 583, 980, 1527? 2248 What is the next term in 54, 78, 118, 174? 246 What is the next term in -4059, -4044, -4019, -3984? -3939 What is next in 1482, 1471, 1452, 1425, 1390? 1347 What is next in -222, -436, -652, -870, -1090, -1312, -1536? -1762 What is the next term in 21, 36, 61, 96, 141? 196 What is next in -34, -31, -42, -73, -130, -219, -346? -517 What comes next: -49, -94, -139, -184, -229? -274 What comes next: 2, -10, -28, -52, -82? -118 What is the next term in 1202, 2407, 3612, 4817? 6022 What is next in 53, 113, 183, 269, 377, 513, 683? 893 What is next in 299, 364, 429, 494, 559? 624 What comes next: 31, 39, 47, 55, 63, 71? 79 What is the next term in 330, 659, 988, 1317, 1646? 1975 What is the next term in -146, -88, 30, 238, 566, 1044, 1702, 2570? 3678 What is next in -11, 3, 39, 109, 225? 399 What comes next: 13212, 13213, 13214, 13215? 13216 What is next in -22, -22, -20, -16? -10 What is the next term in 85, 101, 117, 133, 149? 165 What is the next term in -12, -37, -84, -159, -268, -417, -612? -859 What comes next: 128, 262, 486, 800? 1204 What comes next: -248, -249, -250, -251, -252, -253? -254 What comes next: 19, 16, 3, -26, -77, -156, -269? -422 What is the next term in -117, -148, -177, -204, -229? -252 What comes next: 83, 61, 25, -31, -113, -227, -379, -575? -821 What is next in 32, 66, 102, 140, 180? 222 What is next in 21, 71, 153, 267, 413? 591 What is the next term in 36, 66, 96, 126, 156, 186? 216 What is the next term in 81, 83, 85, 87, 89, 91? 93 What is next in 36, 37, 38, 39? 40 What comes next: 103, 156, 209, 262, 315? 368 What is the next term in -1, 7, 25, 59, 115? 199 What is next in -676, -1352, -2028, -2704, -3380, -4056? -4732 What comes next: -15, -52, -75, -78, -55? 0 What is the next term in 21, 15, 15, 27, 57, 111? 195 What comes next: 2210, 4421, 6632, 8843? 11054 What is next in -23, -39, -47, -41, -15, 37, 121, 243? 409 What is next in 17, 21, 25, 29, 33, 37? 41 What is next in 2660, 2659, 2658, 2657, 2656? 2655 What is next in -242, -478, -716, -956? -1198 What is the next term in 531, 529, 527? 525 What comes next: -20, -60, -128, -224,
{ "pile_set_name": "DM Mathematics" }
-200 in ascending order. -2688, -200, -4, -1, 0 Put 4, -3/4, -74695, -8, 1/3, 3 in decreasing order. 4, 3, 1/3, -3/4, -8, -74695 Put 1, -10091, -10, -1/8 in ascending order. -10091, -10, -1/8, 1 Sort -1, 1, -20, -10, 2, 14, -3 in decreasing order. 14, 2, 1, -1, -3, -10, -20 Sort 67, -582, 3, -2 in decreasing order. 67, 3, -2, -582 Put 21, -5, -372838/3, 33 in descending order. 33, 21, -5, -372838/3 Sort -51625/27, -3, -0.7 in decreasing order. -0.7, -3, -51625/27 Sort -10, 5, -3, -5, 2, -1, -267. -267, -10, -5, -3, -1, 2, 5 Sort 66, 2, -0.2, 0.2, 2/15, -15.8 in ascending order. -15.8, -0.2, 2/15, 0.2, 2, 66 Sort -37, -6, 67, 39 in decreasing order. 67, 39, -6, -37 Sort 5, -3355, -74, -6 in descending order. 5, -6, -74, -3355 Sort 36, -1, 1, -3, 224 in increasing order. -3, -1, 1, 36, 224 Sort -3, -4, -7, -5, -3396, -15. -3396, -15, -7, -5, -4, -3 Put 6, 2, -465258, 1 in decreasing order. 6, 2, 1, -465258 Sort 1015, 0.6, 0.2, -0.01 in decreasing order. 1015, 0.6, 0.2, -0.01 Sort 21, -51, 127, 375 in descending order. 375, 127, 21, -51 Put 1, 176, 13542, -14 in increasing order. -14, 1, 176, 13542 Sort -2/47, 2/13, -168.63, 2 in increasing order. -168.63, -2/47, 2/13, 2 Sort -2/3, 2/9, -31, 19, 10, -39. -39, -31, -2/3, 2/9, 10, 19 Put 1/5, 5, -306, 1, -0.02, 2/9 in descending order. 5, 1, 2/9, 1/5, -0.02, -306 Sort 5, -2/5, -4/7, 0.088, -17, -6 in increasing order. -17, -6, -4/7, -2/5, 0.088, 5 Put -5, -92067, -294 in ascending order. -92067, -294, -5 Sort -1.886, 14678, 1/8. -1.886, 1/8, 14678 Sort 0, 2, -5, 4, 3, -6355 in decreasing order. 4, 3, 2, 0, -5, -6355 Sort -1, 1010, 1, -18 in ascending order. -18, -1, 1, 1010 Sort 3, -2, -1327, -4/7 in descending order. 3, -4/7, -2, -1327 Put -1/2, -2/15, -1056/43, 2/19 in increasing order. -1056/43, -1/2, -2/15, 2/19 Sort -8/93, 10368, -3. -3, -8/93, 10368 Put 142, 0, 2, -4, 3, 130, 153 in increasing order. -4, 0, 2, 3, 130, 142, 153 Put 2, 41, 37, 5, -1, -7 in decreasing order. 41, 37, 5, 2, -1, -7 Sort -5/2, 2/5, 4, 248.41, 6, -3.6 in decreasing order. 248.41, 6, 4, 2/5, -5/2, -3.6 Sort 199, 5, 1324, -2 in decreasing order. 1324, 199, 5, -2 Put -4, -589, 1, 0, 78, -1 in decreasing order. 78, 1, 0, -1, -4, -589 Put 1029, -502, 26 in ascending order. -502, 26, 1029 Put -2, -1, -3, 9, 12, -622 in increasing order. -622, -3, -2, -1, 9, 12 Put 75181, 16, 44 in decreasing order. 75181, 44, 16 Put -1901, -5, 815, -1 in descending order. 815, -1, -5, -1901 Sort 0.1, -143, -1, -1229/6, -0.5 in decreasing order. 0.1, -0.5, -1, -143, -1229/6 Sort 4, -20088, -10, 1, -24, -4, 5 in decreasing order. 5, 4, 1, -4, -10, -24, -20088 Put -1/7, -0.2, 1/6, 1292, 4 in descending order. 1292, 4, 1/6, -1/7, -0.2 Sort 28, 6699, 159 in descending order. 6699, 159, 28 Put -5, 3, -3, -14505, -28, 2 in increasing order. -14505, -28, -5, -3, 2, 3 Sort 49, 0, -1, 3078 in ascending order. -1, 0, 49, 3078 Sort 5, -3, 1, 3, -10830, 2, 10 in increasing order. -10830, -3, 1, 2, 3, 5, 10 Sort 5/6, -7, 16, -0.1, 5, -4, -0.4 in decreasing order. 16, 5, 5/6, -0.1, -0.4, -4, -7 Sort -1082, 4, 2, 2342, -5 in increasing order. -1082, -5, 2, 4, 2342 Sort -1/4, 199327, -2.6 in descending order. 199327, -1/4, -2.6 Sort 1/2, 0.02, -2881, 1/12, -2/17 in decreasing order. 1/2, 1/12, 0.02, -2/17, -2881 Put 43, 90, 2, 132 in decreasing order. 132, 90, 43, 2 Sort 190639, -249, -2 in increasing order. -249, -2, 190639 Put 5, 16, -107, -55, 4 in ascending order. -107, -55, 4, 5, 16 Put -2, -3, -40, -5, 91, 8 in increasing order. -40, -5, -3, -2, 8, 91 Sort 7624, 1/3, 2, 2/129, -5 in decreasing order. 7624, 2, 1/3, 2/129, -5 Put 4, 188.9, 3, -1/5, -3295 in descending order. 188.9, 4, 3, -1/5, -3295 Sort 6, 12/143, -2/3, -123, 4 in descending order. 6, 4, 12/143, -2/3, -123 Put 0, 94, 25897 in ascending order. 0, 94, 25897 Sort 0, -11, -1625196 in decreasing order. 0, -11, -1625196 Put 25, -3, -2356, 10, 6 in descending order. 25, 10, 6, -3, -2356 Sort 4, 6688, 1/10, 10, 0.5, -7 in descending order. 6688, 10, 4, 0.5, 1/10, -7 Put -10719.5, 2, -3 in decreasing order. 2, -3, -10719.5 Sort 4, -78, 2, 110, -3, 19, 13 in decreasing order. 110, 19, 13, 4, 2, -3, -78 Sort -3771, -4631, 4, 3 in increasing order. -4631, -3771, 3, 4 Put 3, 19, -4, -2, -18, 6, -6 in decreasing order. 19, 6, 3, -2, -4, -6, -18 Put -1613.8, 2/13, -1573 in ascending order. -1613.8, -1573, 2/13 Sort -5, 4, 41, 6, -1, 2, 3757. -5, -1, 2, 4, 6, 41, 3757 Put -7, 5, 14, -4, 31, -13, 12 in increasing order. -13, -7, -4, 5, 12, 14, 31 Sort 996, 9, -102, 0. -102, 0, 9, 996 Sort 5267298/7, -0.1, 3, -2, 2/17. -2, -0.1, 2/17, 3, 5267298/7 Sort -2/13, 5, 213/2708. -2/13, 213/2708, 5 Put 2, 22, -73318, 0 in descending order. 22, 2, 0, -73318 Put 2/5, 81, -12, -20, 0.3, -6 in decreasing order. 81, 2/5, 0.3, -6, -12, -20 Put -1, 128559, 15, -2, 2 in descending order. 128559, 15, 2, -1, -2 Sort 6, 735, -1/2931. -1/2931, 6, 735 Put 200, -1812, 0.5, 1, -2 in increasing order. -1812, -2, 0.5, 1, 200 Put 4810, -3, -979, 5 in increasing order. -979, -3, 5, 4810 Put 11270, -5, -38 in increasing order. -38, -5, 11270 Put -9/5, -0.3, 2/3, -0.07, 0.008 in descending order. 2/3, 0.008, -0.07, -0.3, -9/5 Put 0.3, 5, -2/19, 323794 in decreasing order. 323794, 5, 0.3, -2/19 Sort -4, 61865, 35, -0.3 in descending order. 61865, 35, -0.3, -4 Put 2331.8, -0.1, -3, -5.48 in decreasing order. 2331.8, -0.1, -3, -5.48 Put -1438, -2, 730 in decreasing order. 730, -2, -1438 Put -1, 11, 2, -984, 3, -13, -4 in descending order. 11, 3, 2, -1, -4, -13, -984 Sort -489, -466, -50. -489, -466, -50 Sort 58, -109, -6, -684. -684, -109, -6, 58 Put 0.2, -1/5, 33012.48 in descending order. 33012.48, 0.2, -1/5 Sort -11/3, -876, 203, -1 in increasing order. -876, -11/3, -1, 203 Put 25, 376, 15 in decreasing order. 376, 25, 15 Put 40519693, -2, -12 in increasing order. -12, -2, 40519693 Put -0.5, 1/5, -2, 35, 1/2, 20, 56 in decreasing order. 56, 35, 20, 1/2, 1/5, -0.5, -2 Sort -5, -1, -2964, 6, 66, -2. -2964, -5, -2, -1, 6, 66 Sort -1, -265, 312, -24 in decreasing order. 312, -1, -24, -265 Put -34, -204, 16, -2/29 in increasing order. -204, -34, -2/29, 16 Put 2, -9, -5, -319, 20, -8 in increasing order. -319, -9, -8, -5, 2, 20 Put -2, -10, -16.09, 0.1028 in decreasing order. 0.1028, -2, -10, -16.09 Sort -3/29, -2, 0.2, -39994. -39994, -2, -3/29, 0.2 Put -0.2, -45, -1, -192, -4, -3, 5 in increasing order. -192, -45, -4, -3, -1, -0.2, 5 Sort -3, 5, -20.979287 in ascending order. -20.979287, -3, 5 Sort 0.3, -0.1, -5, -0.18, 0, 348 in descending order. 348, 0.3, 0, -0.1, -0.18, -5 Sort -2128, 7, 6, 0, -5, -3, -2 in ascending order. -2128, -5, -3, -2, 0, 6, 7 Sort -19603, 0.3, 2, 5, 0.1, 375. -19603, 0.1, 0.3, 2, 5, 375 Sort -142, 2.3, -1.1, -195. -195, -142, -1.1, 2.3 Sort 29, -1, -38, 20, 2 in descending order. 29, 20, 2, -1, -38 Sort 5, -23, -1244, -3, 2, -4, -12 in decreasing order. 5, 2, -3, -4, -12, -23, -1244 Put -1, 1, 5247, 52, -5, -13 in descending order. 5247, 52, 1, -1, -5, -13 Put -5, -5/7, -5.032, -4 in descending order. -5/7, -4, -5, -5.032 Put 17, -1/10, 1318, 1, -3/4 in descending order. 1318, 17, 1, -1/10, -3/4 Sort 2703, -4, -1555 in descending order. 2703, -4, -1555 Sort -3, -7, 5, -13, -23, 6. -23, -13, -7, -3, 5, 6 Sort -44957.4, 3, 1/8 in ascending order. -44957.4, 1/8, 3 Put -29, -5, -29/4, 257, -1, 4 in decreasing order. 257, 4, -1, -5, -29/4, -29 Sort 1, -25, -2, 1277, -5, -4 in decreasing order. 1277, 1, -2, -4, -5, -25 Put 4, -1, 167, -4, 6353 in ascending order. -4, -1, 4, 167, 6353 Sort -171202, -5, -3 in decreasing order. -3, -5, -171202 Put 310133, -1, 3 in descending order. 310133, 3, -1 Sort -56/11, 0, -159, 5 in ascending order. -159, -56/11, 0, 5 Put -76, 85, 10, 27 in ascending order. -76, 10, 27, 85 Put -0.2, 153, 0.5, -1, -36, -2/13 in increasing order. -36, -1, -0.2, -2/13, 0.5, 153 Put 2, -11, 150, 159 in decreasing order. 159, 150, 2, -11 Put -6, 2, 5, -190125 in decreasing order. 5, 2, -6, -190125 Put -49, 0, -8, 3725, 18 in descending order. 3725, 18, 0, -8, -49 Sort -44, -3, 3, -98944. -98944, -44, -3, 3 Put -24, 16, 9811 in decreasing order. 9811, 16, -24 Sort -2/71, -30664, 2, -1/4. -30664, -1/4, -2/71, 2 Sort 4, 1, 0, 29, 79, -5, -2 in increasing order. -5, -2, 0, 1, 4, 29, 79 Sort 20, 5
{ "pile_set_name": "DM Mathematics" }
c? False Let j(b) = -b + 97. Is j(20) a multiple of 37? False Suppose -72*j + 202 = -70*j. Does 32 divide j? False Let l(v) = -v**3 - 15*v**2 - 40*v + 22. Is l(-12) a multiple of 19? False Suppose 10*t - 3*t - 21 = 0. Suppose -t*u + 55 = -0*u - b, 0 = -u - 5*b + 45. Is 3 a factor of u? False Suppose -r + 4*s - s = -195, -3*r + 624 = 4*s. Is r a multiple of 12? True Let f be (-130)/(-14) + (-6)/21. Suppose -2*b = 6, -f - 45 = -u - 3*b. Is u a multiple of 9? True Let k be ((-1)/2)/((-2)/20). Suppose -476 + 6 = -k*p. Is p a multiple of 18? False Suppose -3*l - 4*q - 3 = 2, -2*q = -2*l + 20. Suppose -4*t + 2*t + l*p + 126 = 0, 0 = -5*t - 4*p + 315. Does 26 divide t? False Suppose 0 = 431*h - 428*h - 840. Is h a multiple of 28? True Suppose v - 10 = -5*f, -4*v = -0*v + 20. Let l be (-3)/(f + 54/(-16)). Let x = 2 + l. Is x a multiple of 10? True Suppose -4*b = 3*c - c + 2, 3*b + 1 = -2*c. Let g be (6 - (6 + -3))/b. Let o(w) = -4*w + 1. Is o(g) a multiple of 13? True Suppose 8*p - 3238 = 4642. Is 45 a factor of p? False Let s(v) = -v**2 + 11*v - 7. Let x(q) = -q**3 - 10*q**2 - 12*q - 6. Let c be x(-9). Suppose -4*i = -i - c. Is 9 a factor of s(i)? False Let v be 208/36 - 2/(-9). Let u be 51/(-2) + v/(-4). Is ((-9)/u)/(2/48) a multiple of 8? True Let t(m) = 2*m**2 - 38*m - 87. Is 17 a factor of t(29)? True Suppose 4*s - 998 = -k, k = 2*k - s - 978. Is k a multiple of 16? False Suppose 0 = -2*b - 5*p + 8*p + 253, -5*b = -5*p - 635. Does 8 divide b? True Suppose 0 = -2*q - 5*f + 19, 2 = 4*q - 2*f - 0*f. Let w be (3/2)/(q/20). Is (-3)/15 - (-78)/w a multiple of 3? False Let p(g) = g**2 - 8*g - 19. Let s be p(11). Suppose -10*w + s*w - 576 = 0. Does 7 divide w? False Let a(d) = -3 + 9*d - 11 - 7*d. Let q(n) = 3*n - 27. Let f(w) = 7*a(w) - 3*q(w). Does 24 divide f(11)? False Let a(v) = v. Let l be a(-5). Let g(m) = 2*m + 6 + 2*m + 6*m**2 - 16*m**3 + 17*m**3. Is 11 a factor of g(l)? True Let m(g) = -2286*g**3 - 5*g**2 - 12*g - 7. Does 20 divide m(-1)? False Suppose -y = -6*y. Suppose -3*n + 36 + 111 = y. Is 7 a factor of n? True Let t(w) = 24*w**3 - 5*w**2 + 11*w + 9. Does 2 divide t(3)? False Suppose -4*y = -8, 0*n - 2*y = -3*n + 869. Let k = -183 + n. Suppose 6*r = k - 6. Is r a multiple of 17? True Suppose 0 = -i - 12 + 17. Suppose -g - 608 = -0*f - 3*f, 0 = -i*f - 5*g + 1040. Does 18 divide f? False Suppose 3145 = 5*v - 2*r, 4*v - 2*r - 1747 = 771. Suppose 5*o - 178 = v. Suppose 0 = -5*h - 2*s - 68 + 228, 5*s + o = 4*h. Does 17 divide h? True Let a = -1 - -12. Suppose -3*w = 3*r - 39, -5*r + a + 4 = 0. Suppose -2*s + 56 = n + w, 89 = 2*n + s. Is n a multiple of 22? True Suppose 0 = 5*a + 3*t - 2958, 2*a = 3*t - 7*t + 1186. Is a a multiple of 3? True Suppose 3*a = 4*h - 73 - 136, 5*h + 5*a - 270 = 0. Let t = -61 + 24. Let p = t + h. Is 16 a factor of p? True Let v = 12 + -6. Let g be ((-8)/12)/(v/(-27)). Suppose 3*j = g*z + j - 28, 5*j + 25 = 3*z. Is z a multiple of 10? True Let o(t) be the first derivative of t**5/20 - 5*t**4/6 - 3*t**3/2 - 7*t**2 - 4*t - 10. Let n(q) be the first derivative of o(q). Is n(11) a multiple of 2? True Suppose -8*k + 9*k + 328 = 0. Is 4/20 - k/10 a multiple of 2? False Let j = -179 - -145. Suppose -g + 5*d = -76, 0*d + 3*d + 192 = 3*g. Let s = g + j. Is s a multiple of 9? True Is (9/(-4))/((-15)/1180) a multiple of 24? False Suppose 0 = -67*p + 65*p + 850. Does 17 divide p? True Suppose -3*m + 3 = -3. Let r(j) = 4*j**3 - 2*j**3 - j - j**3 - 7 - j + 8*j**m. Does 5 divide r(-8)? False Let y(f) = 5*f**3 - 6*f**2 - 5*f + 34. Let b(q) = -9*q**3 + 13*q**2 + 9*q - 69. Let p(r) = -6*b(r) - 11*y(r). Does 2 divide p(-12)? True Suppose 2*x - 3*u - 5 - 13 = 0, 0 = x + 2*u - 16. Suppose -17*o + x*o = -65. Is o a multiple of 4? False Let i = 25 - 21. Suppose 457 = i*q + k, 2*q - 2*k = 172 + 44. Is q a multiple of 29? False Let k be (35/2 - 3)/(5/10). Suppose -35*c + 654 = -k*c. Is 14 a factor of c? False Let l = -329 + 610. Suppose 379 = 3*f - b + 123, 4*b = -3*f + l. Does 5 divide f? False Let h(j) = -j**3 + 8*j**2 + 12*j - 7. Let i = 13 + -4. Does 17 divide h(i)? False Let u(n) be the third derivative of -1/60*n**5 + 0 + 2*n**3 - n**2 + 0*n + 7/12*n**4. Does 4 divide u(14)? True Let r(o) = -3*o + 31. Let q(j) = 5*j - 62. Let y(a) = -4*q(a) - 7*r(a). Does 8 divide y(16)? False Suppose -15*h + 5689 = 3*u - 11*h, -3*u - 3*h = -5685. Is 31 a factor of u? True Let u = 22 - 23. Let m be 0 + 4 + u + -2. Let x(q) = 24*q**3 + q - 1. Does 6 divide x(m)? True Let f = -4 + -3. Let c(l) = l**3 + 5*l**2 - 3*l + 9. Let m be c(f). Let b = -40 - m. Does 11 divide b? False Suppose 3*y + 4*u - 55 = 0, 3*y - 2*u - 35 = 50. Let b = y + -15. Is (-20)/(0 + b/(-5)) a multiple of 7? False Suppose d + 3*d - 8 = 0. Suppose 6*x - d*x + 4 = 0. Does 28 divide 82 - (0 + (x - -2))? False Suppose 0 = g + a - 1590, 18*a - 20*a = 8. Does 47 divide g? False Suppose 4*f + 141 + 5507 = 0. Is 10/(-45) + f/(-36) a multiple of 13? True Let v(s) = -2*s**2 + 2*s + 7. Let c(n) = -4*n**2 + 4*n + 15. Let w(m) = 4*c(m) - 9*v(m). Let b = -233 + 238. Is w(b) a multiple of 14? False Let s be 3/4 - 387/(-12). Is (-1)/(-2) - s/(-2) a multiple of 6? False Suppose 0 = -h - 4, -2*w - 4*h + 93 = 7. Let z(k) = k + 33. Let v be z(-5). Let x = w - v. Is 7 a factor of x? False Let p(z) = z**3 + 5*z**2 + 3*z - 8. Let v be p(-4). Let t(g) = -g**3 - 3*g**2 + 3*g - 2. Let a be t(v). Is (-15)/((-3)/6*a) a multiple of 5? True Suppose -187*o = -172*o - 9030. Is 73 a factor of o? False Suppose -115*t + 95*t = -6600. Is 33 a factor of t? True Let p be 7992/33 + 2/(-33)*3. Suppose t - 4*o = -3*o + p, -3*o = 6. Is t a multiple of 12? True Let y(j) = 6*j**3 - 3*j**2 + 4*j - 2. Let v be y(2). Suppose -3*x + 5*c = -43 - 27, x = -3*c + v. Does 15 divide x? True Let u(h) = 2*h**2 + 15*h + 27. Suppose 5*b - 3*q + 72 = -5*q, b = 5*q - 9. Is u(b) a multiple of 19? True Let s(f) = 3*f**2 + 25*f - 7*f - 43*f - 5*f**2 + 9. Is s(-12) a multiple of 5? False Let g be ((10/(-8))/(-5))/(3/36). Let x be 18/2*10/(-6). Is 7 a factor of (-170)/x*g/2? False Suppose 4 + 74 = 3*k. Is (k/3)/((-48)/(-72)) a multiple of 13? True Suppose 0 = 4*y - 4*v + v - 10, 6 = 3*y - 3*v. Suppose -y*t + 12 = 4. Suppose t*m - 116 = -2*b, 2*m + 244 = 3*b + b. Is 17 a factor of b? False Let a = 5 - 5. Let y be 1*10 + (a - 1). Suppose -2*x = -5*x + y, -2*w - x + 151 = 0. Is 28 a factor of w? False Let l(o) = 7*o**3 + 9*o**2 - 3*o - 1. Let q(x) = -20*x**3 - 26*x**2 + 8*x + 3. Let b(p) = 11*l(p) + 4*q(p). Is 37 a factor of b(-4)? False Let n be (12/(-21))/((-2)/7). Is (-94*n)/4*-1 a multiple of 14? False Let z = 404 - -16. Does 15 divide z? True Suppose -24*t = -3659 + 1115. Is t a multiple of 13? False Suppose -4*i - 5*x = -1177, -2*i - 38*x + 39*x + 571 = 0. Does 18 divide i? True Does 5 divide (1 - (3 + -8)) + 79? True Let u(w) = -w**3 - 44*w**2 + 93*w + 65. Let g be u(-46). Let l = -8 + 45. Let a = g + l. Is a a multiple of 28? True Suppose -9*v = -5*v - 28. Suppose -2*p = -v*p + 95. Is 7 a factor of p? False Suppose 2*u + 2*q = 4, 2*q - 4 = -2*u + q. Let z = -8 + 13. Suppose 7*v = 3*m + u*v - 197, v = z*m - 343. Is 23 a factor of m? True Suppose 3*g + j = 394, 2*g + j + 46 = 309. Does 6 divide g? False Is 476/6*(-216)/(-84) a multiple of 15? False Let h = -134 + 458. Is 36 a factor of h? True Suppose 0 = 3*k + k. Suppose 4*h + k*h - w - 368 = 0, 0 = -3*w. Is h a multiple of 32? False Suppose 4*b = -0*b - 12. Let y be ((-16)/b)/(6/(-288)). Does 10 divide y/(-26) + (-8)/(-52)? True Let q = 2 + -6. Let o(x) = 5*x**3 + x**2 + 5*x + 6. Let s(y) = 6*y**3 + y**2 + 5*y + 7. Let p(z) = 7*o(z) - 6*s(z). Is 30 a factor of p(q)? True Suppose 4*q = q + 12. Suppose 5*g = -0*a - q*a - 4, 5*g + 16 = -a. Is 8 a factor of 4 + -4 + g - -20? True Suppose 0 = -0*q + 3*q - 3*p - 600, -3*p = q - 192. Is q a multiple of 22? True Let b be 2 + (-3 - 1)*1. Let o be (-2)/1*1*-1. Is 35 + (-5 - b/o) a multiple of 6? False Let n(h) = -6*h - 128 + 135 + 13*h. Does 21 divide n(14)? True Suppose y - 10*y + 126 = 0. Is y a multiple of 7? True Suppose -3*z = 33*j - 35*j + 283, -3*z - 3 = 0. Is 20 a factor of j? True Suppose 0 = -k + 4*k + 9, 0 = 4*g - k - 59. Suppose g*w - 12*w = 140. Is w a multiple of 35? True Suppose -1258 = -7*v - 47. Suppose -v + 32 = -3*y. Is y a multip
{ "pile_set_name": "DM Mathematics" }
6370 Convert 1346 (base 11) to base 4. 123100 Convert -33d0 (base 15) to base 14. -4015 What is -104021 (base 5) in base 12? -2130 Convert -202212111 (base 3) to base 11. -10481 731 (base 12) to base 3 1102201 Convert 221212000 (base 3) to base 2. 100100110011110 Convert 252 (base 8) to base 13. 101 Convert -789e (base 16) to base 9. -46318 -1025 (base 7) to base 14 -1bc 10422 (base 6) to base 13 87b What is -471 (base 14) in base 5? -12013 Convert -1251 (base 8) to base 5. -10211 What is 1000110100110111 (base 2) in base 12? 18b07 35027 (base 8) to base 2 11101000010111 2ccc (base 13) to base 12 3992 Convert 233352 (base 7) to base 10. 42030 What is -232a (base 12) in base 8? -7522 What is d239 (base 15) in base 6? 541243 -14138 (base 10) to base 16 -373a -1101101111 (base 2) to base 13 -528 -3303011 (base 4) to base 11 -10763 11011001011 (base 2) to base 4 123023 -344 (base 7) to base 5 -1204 8840 (base 10) to base 13 4040 71b (base 14) to base 5 21042 What is -11968 (base 10) in base 5? -340333 Convert 74 (base 9) to base 13. 52 Convert -11011011 (base 2) to base 12. -163 What is -4202 (base 5) in base 4? -20220 180 (base 11) to base 15 de What is 1e3d (base 16) in base 3? 101121201 What is 110110000 (base 2) in base 11? 363 Convert -483 (base 10) to base 3. -122220 -422334 (base 5) to base 16 -370e What is -366 (base 8) in base 16? -f6 220202 (base 3) to base 9 822 -56376 (base 11) to base 5 -10103022 Convert 75 (base 13) to base 11. 88 Convert 101101100110011 (base 2) to base 8. 55463 -140 (base 13) to base 7 -434 12189 (base 12) to base 6 305053 1154 (base 9) to base 11 711 -1cf (base 16) to base 14 -251 What is -8566 (base 9) in base 6? -45053 What is 5443 (base 6) in base 16? 4e3 4014 (base 5) to base 14 285 523 (base 9) to base 15 1d6 What is -23d (base 14) in base 4? -12333 What is 532 (base 13) in base 4? 31312 -1365 (base 10) to base 7 -3660 Convert -1302 (base 4) to base 13. -8a Convert 42313 (base 5) to base 15. c8d What is 121011 (base 3) in base 8? 664 -755 (base 11) to base 5 -12112 Convert 322 (base 7) to base 5. 1123 What is 30074 (base 8) in base 14? 4700 13112 (base 5) to base 15 48c What is 1893 (base 13) in base 16? e55 -3bc5 (base 16) to base 5 -442201 2a8 (base 12) to base 5 3131 What is 11101011010 (base 2) in base 13? b1a Convert 1259 (base 12) to base 10. 2085 Convert 120121201 (base 3) to base 8. 26172 What is 664 (base 12) in base 4? 32230 What is 24030 (base 8) in base 2? 10100000011000 What is -316 (base 7) in base 6? -424 What is 614 (base 10) in base 6? 2502 Convert 2011 (base 9) to base 14. 76c What is -3c2 (base 13) in base 14? -357 What is -769 (base 11) in base 12? -64a Convert 33015 (base 6) to base 13. 20ba Convert -1214 (base 8) to base 9. -804 Convert 112101 (base 4) to base 12. 9a9 Convert 30461 (base 10) to base 3. 1112210012 -2103 (base 9) to base 3 -2010010 What is 43510 (base 6) in base 5? 143033 Convert 110100011 (base 2) to base 16. 1a3 d27 (base 15) to base 7 11431 -110323 (base 4) to base 10 -1339 200210 (base 5) to base 4 1202201 What is 3a (base 13) in base 5? 144 Convert 1026 (base 7) to base 11. 300 What is 20 (base 11) in base 9? 24 1326 (base 10) to base 5 20301 Convert 164 (base 13) to base 11. 209 What is -85a (base 12) in base 3? -1200021 Convert -55c (base 15) to base 3. -1122220 What is -a833 (base 12) in base 14? -6a35 Convert 3001 (base 7) to base 5. 13110 Convert 2021220 (base 3) to base 7. 4605 Convert 17bb (base 12) to base 15. cbe -1523 (base 8) to base 6 -3535 Convert 2aa (base 11) to base 7. 1025 Convert 2582 (base 9) to base 5. 30222 -46270 (base 9) to base 8 -74173 Convert 134c (base 16) to base 7. 20255 Convert 161 (base 13) to base 14. 13a What is -51b (base 13) in base 9? -1165 Convert 111111110111010 (base 2) to base 9. 48761 What is -22775 (base 8) in base 4? -2113331 What is 2043 (base 5) in base 9? 333 Convert 141666 (base 8) to base 13. 19a60 Convert 784 (base 9) to base 10. 643 Convert 1783 (base 10) to base 16. 6f7 -28fb (base 16) to base 8 -24373 What is 547 (base 15) in base 16? 4a8 -748 (base 10) to base 15 -34d What is 11110010001010 (base 2) in base 9? 23230 Convert -10585 (base 14) to base 13. -14ca6 Convert 102132 (base 4) to base 7. 3306 -1617 (base 8) to base 10 -911 Convert -2496 (base 10) to base 6. -15320 What is 11201022 (base 3) in base 15? 1042 3711 (base 11) to base 12 2984 Convert -133332 (base 4) to base 11. -15a0 -55ba (base 12) to base 2 -10010100011110 Convert 1110 (base 11) to base 2. 10110110111 What is -12a (base 13) in base 15? -da Convert -142342 (base 8) to base 14. -14522 Convert 434 (base 12) to base 2. 1001101000 Convert -6250 (base 7) to base 2. -100010001111 Convert -1010 (base 9) to base 13. -44a -522 (base 8) to base 14 -1a2 Convert 1692 (base 15) to base 16. 12fe Convert 2030 (base 15) to base 11. 5118 -1338 (base 14) to base 15 -1007 What is -252ac (base 13) in base 11? -47592 What is -a28d (base 14) in base 4? -12310311 Convert -679 (base 13) to base 14. -598 Convert -362 (base 10) to base 8. -552 -2593 (base 13) to base 8 -12357 Convert 1353 (base 6) to base 2. 101100101 7524 (base 11) to base 9 14573 What is 41843 (base 10) in base 12? 2026b -134000 (base 7) to base 10 -25382 Convert -11222 (base 3) to base 8. -206 What is d9 (base 14) in base 9? 232 Convert 5795 (base 13) to base 6. 132522 What is -b241 (base 12) in base 5? -1104340 What is -221211 (base 3) in base 9? -854 Convert 298 (base 12) to base 3. 112222 Convert -813 (base 12) to base 3. -1121020 35053 (base 6) to base 10 5001 -40535 (base 6) to base 2 -1010100001011 What is -611 (base 8) in base 15? -1b3 -87 (base 15) to base 14 -91 What is 20743 (base 8) in base 3? 102220022 Convert 18255 (base 10) to base 16. 474f What is -16415 (base 7) in base 3? -20101212 -782 (base 10) to base 2 -1100001110 What is 987 (base 16) in base 13? 1158 What is -10323 (base 6) in base 10? -1419 What is 1489 (base 13) in base 7? 11464 1004 (base 8) to base 11 42a What is -100112 (base 8) in base 15? -9ae7 What is 11001100111101 (base 2) in base 7? 53146 1592 (base 10) to base 7 4433 What is -2352 (base 9) in base 13? -a46 Convert -1742 (base 9) to base 2. -10100110110 What is -14232 (base 6) in base 4? -203030 12654 (base 11) to base 2 100011010101000 Convert -1b4 (base 16) to base 7. -1162 Convert -13238 (base 9) to base 5. -241240 Convert 21234 (base 6) to base 3. 10222111 -20010201 (base 3) to base 13 -2062 What is 79a (base 13) in base 4? 110132 What is 2104 (base 13) in base 3? 20021011 543 (base 6) to base 11 179 35130 (base 7) to base 6 105340 Convert -2303134 (base 5) to base 4. -22001110 -100202220 (base 3) to base 16 -1bd5 What is -116 (base 8) in base 4? -1032 236 (base 11) to base 2 100011001 What is -4626 (base 10) in base 3? -20100100 -15613 (base 7) to base 14 -187a 42d (base 15) to base 10 943 What is 100100010101 (base 2) in base 10? 2325 Convert -209a (base 11) to base 4. -223103 44a5 (base 16) to base 3 220002212 What is -344 (base 12) in base 16? -1e4 Convert -101010000011 (base 2) to base 13. -12c0 38a (base 16) to base 3 1020120 Convert -21365 (base 7) to base 6. -40415 Convert 1431 (base 12) to base 5. 33331 Convert -22031 (base 4) to base 5. -10103 -164331 (base 7) to base 10 -32754 What is 349 (base 11) in base 12? 2a8 What is -100000101001 (base 2) in base 14? -a93 What is 2a19 (base 11) in base 13? 1a05 -41788 (base 9) to base 5 -1340440 Convert 1111001101010001 (base 2) to base 4. 33031101 What is 3222200 (base 5) in base 10? 54675 -233 (base 5) to base 12 -58 What is -134020 (base 5) in base 4? -1112012 -882 (base 12) to base 9 -1638 What is 1022 (base 6) in base 13? 149 What is -16637 (base 8) in base 9? -11355 Convert -4311 (base 14) to base 16. -2d3b What is -10303 (base 4) in base 14? -17d 4303 (base 8) to base 6 14215 5025 (base 6) to base 16 449 -1010111110 (base 2) to base 6 -3130 2358 (base 14) to base 5 144104 Convert -9e3 (base 16) to base 7. -10244 Convert -ca1 (base 13) to base 6. -13555 -55311 (base 6) to base 16 -1dfb 11101010110 (base 2) to base 14 982 What is 20462 (base 10) in base 13? 9410 -20334 (base 5) to base 14 -6c0 -ca (base 14) to base 16 -b2 What is -52106 (base 8) in base 5? -1142244 What is 1111 (base 6) in base 13? 16c Con
{ "pile_set_name": "DM Mathematics" }
*2 - 2568954 What is the third derivative of 24475064*k*l**3*o*v + k*l - k*o*v**3 - l**3*o*v**3 + 180*l**2*o*v**3 + 4*l**2*o*v**2 - 1256*l*v**3 wrt l? 146850384*k*o*v - 6*o*v**3 Differentiate -24292*b*c*y + 134795*b*c + 380*c**3*y + 2*c**3 - 3 wrt y. -24292*b*c + 380*c**3 What is the third derivative of -15*i**3*o**3 + 10*i**3*o**2 + 18*i**3*o + 9*i**2*o**2 + 156*i*o**2 + 250971*o**3 wrt o? -90*i**3 + 1505826 What is the first derivative of -55442985*v - 101769221? -55442985 Find the second derivative of -709869548*w**2*y - w*y + 495483720*y wrt w. -1419739096*y Differentiate -97*a*v + 54741*a - 62142890*v with respect to a. -97*v + 54741 What is the derivative of 5637977*a**2 - 22809700? 11275954*a What is the third derivative of -194150*y**5 - 105*y**3 - y**2 - 32185015*y wrt y? -11649000*y**2 - 630 Find the third derivative of 10139388*m**5 - 5*m**2 + 2*m - 14711 wrt m. 608363280*m**2 Differentiate -21*p*r**3 - 5508*p*r - 1648858*p - 62*r**4 + 227 with respect to r. -63*p*r**2 - 5508*p - 248*r**3 Differentiate -513*h*q*z + 12*h*q + 272430*h*z - h - 70*q*z - z + 1 with respect to q. -513*h*z + 12*h - 70*z Find the second derivative of 3*s**5 - 1797*s**4 + 4230*s**3 - 11799*s - 5730 wrt s. 60*s**3 - 21564*s**2 + 25380*s Find the third derivative of 31*j**5 - 99261*j**4 - 2*j**3 - 7*j**2 - 374637*j. 1860*j**2 - 2382264*j - 12 Find the first derivative of 47066*k**2 - 16*k - 4912338 wrt k. 94132*k - 16 What is the second derivative of 2*c**2*v**2 + 151907*c**2*v - 51*c**2 + 745*c*v**2 + 31455*v**2 wrt v? 4*c**2 + 1490*c + 62910 What is the third derivative of -9727993*b**2*m**3 + 39004*b**2*m + 225*m**2 wrt m? -58367958*b**2 What is the second derivative of -36361*l**4 - 124*l**3 + 11154024*l wrt l? -436332*l**2 - 744*l What is the derivative of 511224634*s**2 - 405774273 wrt s? 1022449268*s Differentiate 14918589*f*g**3 - 2989*f - 12007 wrt g. 44755767*f*g**2 Differentiate 2572662*k*n**2 + 3*k*n + 5864668*k wrt n. 5145324*k*n + 3*k What is the second derivative of 14055*i**4*s - 128*i**2*s**2 - 762*i*s**2 - 1545*s**2 - 2 wrt i? 168660*i**2*s - 256*s**2 Find the second derivative of -12839*i**3*u**2 - 2*i**3 - 655376*i**2*u + 2*i*u**2 + i*u - 72*u**2 wrt u. -25678*i**3 + 4*i - 144 What is the third derivative of 97*n**6 - 430683*n**5 + 9*n**2 + 3*n + 71488? 11640*n**3 - 25840980*n**2 What is the first derivative of -24974866*p + 20260898? -24974866 Find the second derivative of 10806815*b**3 + b**2 - 7065918*b wrt b. 64840890*b + 2 What is the derivative of 350*o**2 + 23107*o - 420175201? 700*o + 23107 What is the third derivative of 4*q**3*r**3 - q**3*r**2 - 2137*q**2*r**3 + 24452*q**2 - 1577*q*r**3 + 6*q*r**2 + 3*r**2 - 13 wrt r? 24*q**3 - 12822*q**2 - 9462*q What is the derivative of 350890069*l + 194976405 wrt l? 350890069 Differentiate -23591778*l**2 + 23068601. -47183556*l Differentiate 19812*i**3 + i**2 + 90*i + 44979701 wrt i. 59436*i**2 + 2*i + 90 What is the third derivative of 1225915299*p**3*t**3 - 30*p**3*t**2 + 67*p**3 + 3*p**2*t**2 + 2*p**2*t - 6*p*t**2 - 32*t wrt t? 7355491794*p**3 What is the derivative of -4361*k**2 + 1556*k + 5224145 wrt k? -8722*k + 1556 Differentiate -783377*q - 35582699 wrt q. -783377 Find the third derivative of 1623059*c**3 + 1074*c**2 + 6996*c. 9738354 Find the second derivative of -15088455*j*s**2 + 15783*j*s + 332*s - 2 wrt s. -30176910*j Find the second derivative of -6*c**4 + 739719*c**2*k**3 - 1866*c*k**2 + 7390*k**3 wrt c. -72*c**2 + 1479438*k**3 Find the third derivative of -14991*r**5 - 4711*r**4 + 124442691*r**2 wrt r. -899460*r**2 - 113064*r Find the third derivative of 205900136*x**3 - 201860702*x**2. 1235400816 Find the second derivative of 2243362*t**2*x**4 - t**2*x**2 - t**2*x + 132*t**2 + 13*t*x + 51*t wrt x. 26920344*t**2*x**2 - 2*t**2 What is the third derivative of -36*v**4 + 2156452*v**3 - 14195*v**2 + v - 2017? -864*v + 12938712 What is the first derivative of 5939853*f**2 - f + 85699175 wrt f? 11879706*f - 1 Differentiate -2951*g**2*n**2 + 55175985*g**2 - 198*g*n**2 wrt n. -5902*g**2*n - 396*g*n Differentiate 2749*i*x*y**4 + 3*i*x - 3*i*y - 10*i + 29*x*y**2 + 41780 with respect to y. 10996*i*x*y**3 - 3*i + 58*x*y Find the first derivative of 33562*s**2*t + 11*s**2 - 8887*s + 633*t**3 - 188 wrt t. 33562*s**2 + 1899*t**2 Differentiate 2*a**2*h - 843*a**2 - 69779*a - 9529*h + 4906 wrt a. 4*a*h - 1686*a - 69779 What is the third derivative of 79762797*u**3 + 16675023*u**2 wrt u? 478576782 What is the derivative of 36237*q**3 - 2090*q**2 + 417300806? 108711*q**2 - 4180*q Find the second derivative of -37726553*w**3 + 3973*w + 2822. -226359318*w Differentiate -6*m*t*y - 2*m*t - 3*m*y + 1693949*m - 817029*t*y + 2*t with respect to t. -6*m*y - 2*m - 817029*y + 2 Find the third derivative of 4*k**6*v - 2389193*k**4*v + 99775315*k**2*v wrt k. 480*k**3*v - 57340632*k*v Find the second derivative of -202*i*m**2*n*w**3 - 3*i*m**2*n + i*m*n*w**3 - 26137*i*m*n + 2*i*n*w**2 + 509*m**2*n - 15*m*n*w**3 wrt m. -404*i*n*w**3 - 6*i*n + 1018*n Find the first derivative of -124*n*y**3 + 6*n*y**2 - 9*n*y - 215*n + 42426230*y**3 wrt n. -124*y**3 + 6*y**2 - 9*y - 215 Differentiate -4*w**2 + 329147*w + 7472268 wrt w. -8*w + 329147 Find the second derivative of -696446942*r**4 + 21949*r - 4807 wrt r. -8357363304*r**2 Find the first derivative of 9*c*p**3*z - 1006453*c*z**2 - p**3*z + p**3 - 15*p*z**2 - 151*p - 2*z**2 wrt c. 9*p**3*z - 1006453*z**2 Find the third derivative of -724551010*m**2*r**3 + 106749*m**2*r**2 + 159*m*r**2 + m wrt r. -4347306060*m**2 What is the third derivative of 3827961*s*w**3 - 4*s*w - 1907*s - 2*w**3 + 68*w**2 wrt w? 22967766*s - 12 What is the third derivative of 3674469*d*y**3 - 2*d*y**2 + 338119*d*y + 25*d - 141*y**3 - 6*y**2 wrt y? 22046814*d - 846 Find the second derivative of -101074*y**3 - 256*y**2 + 62*y + 4331. -606444*y - 512 What is the third derivative of 128908520*j**4 + 654497*j**2 + 97*j? 3093804480*j Find the third derivative of 353372194*v**3 + 1285274976*v**2. 2120233164 Find the third derivative of -27411355*w**3 + 2075*w**2 - 521. -164468130 Differentiate -664014048*j**2*q + 535286727*j**2 with respect to q. -664014048*j**2 Find the third derivative of -14285*j**4*p*t - j**3*p*t - 20*j**3*t + j**2 - 12764*j*p + 2*j*t + p - 5 wrt j. -342840*j*p*t - 6*p*t - 120*t Find the third derivative of 215878266*f**3 + 117968*f**2 + 1047 wrt f. 1295269596 Find the third derivative of 47494*i**2*j**3*k - i**2*j*k**2 + 60*i**2*j + 16*j**3*k**2 + j**2*k**2 + j**2*k + 5*j**2 - 114 wrt j. 284964*i**2*k + 96*k**2 Find the second derivative of 4865711*x**2 - 602410702*x wrt x. 9731422 Differentiate -2*n*q**2 - 2343*n*q - 761943*n - 239*q**2 + 6 wrt q. -4*n*q - 2343*n - 478*q Find the third derivative of 9*l*r**4 - l*r**3 - 20*l*r**2 + 16*l + 2416*r**4 + 36*r**3 - 12*r - 63 wrt r. 216*l*r - 6*l + 57984*r + 216 What is the third derivative of 38*f*s**4 - 38*f*s**2 + 788253*s**4 - 4514803*s**2 wrt s? 912*f*s + 18918072*s What is the derivative of -67*l*v**3 - 5242*l*v**2 - 1766*l + 16*v**2 + 7246 wrt v? -201*l*v**2 - 10484*l*v + 32*v What is the second derivative of 309938695*o**2 + 216751634*o wrt o? 619877390 Find the second derivative of 229*s**3*x + 23*s**3 + 30*s**2*x - s**2 - 435*s*x - 185*s - x + 4 wrt s. 1374*s*x + 138*s + 60*x - 2 Differentiate -24359021*m + 20679054. -24359021 Find the third derivative of 237*m**3*r*s**2 + 3*m**3*r + 15*m**3*s - 4*m**3 + 3*m**2*r*s + 2*m**2*r + 5124*m*r*s**2 + 6*m*r*s + 4*m*s wrt m. 1422*r*s**2 + 18*r + 90*s - 24 What is the second derivative of -1529*r**5*x + 839*r**5 - 3*r*x + 400*r - 182*x - 3 wrt r? -30580*r**3*x + 16780*r**3 Find the second derivative of 4066*x**3 + 3595*x**2 - 36677814*x. 24396*x + 7190 Find the second derivative of 1023303*r**2 - 4796930*r. 2046606 Find the second derivative of -132*h**5 - 2*h**4 + 598*h**2 - 6263875*h. -2640*h**3 - 24*h**2 + 1196 Differentiate -1759*a*w**2 + 1010*a - 2*w**2 - 11487885 with respect to a. -1759*w**2 + 1010 What is the second derivative of 74815757*s**3 + 915043*s + 39 wrt s? 448894542*s What is the derivative of -281875334*h**2 + 266459328? -563750668*h What is the third derivative of -7*x**5 - x**4 + 194681*x**3 - 2*x**2 - 14594170*x wrt x? -420*x**2 - 24*x + 1168086 Find the third
{ "pile_set_name": "DM Mathematics" }
*f for f. -3 Let r be (80/(-24))/((-2)/3 - 0). Suppose r*u - 14 = -4. Suppose 0*l = 2*l - u. Solve -l = -k + 1 for k. 2 Let y be (3 - (-2 + 2)) + -7. Let u be (-44)/(((-32)/y)/(-4)). Suppose 5*c + u = 62. Solve 4*q = -0*q + c for q. 2 Let c(n) = 3*n**3 + n**2 + 16*n + 13. Let g be c(0). Solve g*b + 7 = 14*b for b. 7 Let d = 261 + -270. Let u be 25*(d/(-15))/(9/6). Solve -5 = 5*s + u for s. -3 Let n(a) = a**2 + 8*a - 17. Let q be n(-10). Let y = 58 - 33. Suppose -1 = 3*k - y. Solve -k + 5 = q*d for d. -1 Let n = -44 + 53. Let y(t) = 2*t**2 + n*t**2 + 12*t + 20 + 0*t**2 + t**3. Let z be y(-10). Solve z*h - h = 1 for h. -1 Let b = 107 + -21. Solve -b = 7*p - 51 for p. -5 Let v = -4447 + 4531. Solve -v = 18*s - 12 for s. -4 Let v be 1/(1440/(-4328) + 5/15). Solve 90 = -1641*p + v*p for p. -5 Let o be 0*(17 - (9 - -7)). Solve 95*q - 106*q + 66 = o for q. 6 Suppose -3*h - 4*g = g + 8, -2*g = 2*h. Suppose 0 = -s, -4*z = -6*z - h*s. Suppose z = 18*t - 16*t - 8. Solve -t*j + 12 = -0*j for j. 3 Suppose -q = 2*j - 90, -3*j - 12*q + 157 = -16*q. Solve -10 = -j*i + 52*i for i. -2 Suppose 10*t - 252 = 13*w - 15*w, -5*w = 45. Solve 0 = 33*o - t - 6 for o. 1 Suppose r + 227 = -o, 0 = 4*r - 6*o + 3*o + 908. Let d = 230 + r. Solve 2 = d*j + 8 for j. -2 Let d be 9/(-1) - (-21 + 16). Let k be (22/5 - -6) + d/10. Let f be k/((-20)/(-6)) - -2*1. Solve f*r - 2*r - 3 = 0 for r. 1 Suppose 4*m + 2*q = -600, 0 = -3*m + m - 6*q - 280. Let r = 156 + m. Solve r*z - 7 = -19 for z. -3 Let o be (-6)/5*(72/(-16) + 2). Suppose o*y = t + 7, -2*t - 3*t + 13 = y. Solve 0 = -3*q - 9 + y for q. -2 Let t be (((-16)/(-28))/2)/(604854/(-35581) - -17). Solve 8*c + t - 482 = 0 for c. 5 Suppose 3*h - 6*h = n - 2, 0 = -4*h - 2*n + 4. Suppose 0 = -2*m + 2*j + 20 - 14, 5*m = -2*j + 8. Solve 0 = -h*p - m*p for p. 0 Let w = -36 - -36. Suppose -2*a + w*o - 34 = -2*o, 5*a + 71 = -2*o. Let j = a + 16. Solve 0*g = g + j for g. -1 Let v = -7408 + 7411. Let k be 3 + 9 - (0 + 0). Solve -k = -5*x + v for x. 3 Let r be 18/14*(-1729)/(-741). Let z be (1 - -2)/((-18)/(-120)). Solve 0 = b + r*b + z for b. -5 Let y be 12/(-15) - 63531/(-45). Let k be (-83)/1245 + y/15. Solve 2 = k*t - 92*t for t. 1 Let r(i) be the third derivative of -i**6/120 + i**5/30 + i**3/3 - 100*i**2. Let s(v) = v**2 + 7*v. Let a be s(-7). Let h be r(a). Solve d = h - 0 for d. 2 Let x = -3128 + 3128. Solve 13*y + 7 + 19 = x for y. -2 Suppose 4*v + 10 = 22. Let f(b) = b**2 + 28*b + 117. Suppose 2*x + 48 = m, 6*x - x + 105 = -5*m. Let h be f(x). Solve -h*l + 5 = -v for l. 4 Suppose 728 = -14*h + 6020. Let b = h - 366. Solve 2*a - 8 + b = 0 for a. -2 Let q(o) = o + 7. Let u be q(-5). Suppose -87 = -j - 9. Suppose 79*h - j*h = 4. Solve -2*k - h = u*k for k. -1 Let a = 156 + -153. Suppose -a*r = 5*f - 38, -4*f + 6 + 16 = r. Solve 3*j + r = 9 for j. 1 Let j be -1*(0/(-6 + 13))/1. Solve j = -20*o + 23*o + 6 for o. -2 Suppose -d - 2*d + 4*i + 123 = 0, 2*i = 6. Let g be 1 + (-56)/(-3) + 15/d. Solve -k = 4*k + g for k. -4 Let n be (18/(-21))/(2 + 15/(-7)). Suppose -10 = -3*s + 2*c - 3, 0 = 3*c + n. Solve -4*y = 5 - s for y. -1 Suppose -4*t - 5 = 3, -t = 3*n - 13. Let j = 8 - n. Let x be j/((-228)/80 - -3). Solve 3*l - x = -l for l. 5 Let f(o) = -28*o + 89. Suppose -37*d = -27*d - 30. Let b be f(d). Solve -b*n = 4 + 6 for n. -2 Suppose -g = 2*k - 14, 3*k = 7*k + 5*g - 22. Let y be k + -9*18/(-81). Solve 4*i = y - 14 for i. -1 Let s = 97 - 95. Suppose -3*x - 9 = -s*t + 1, -5 = -t. Solve -10*g + 13*g - 15 = x for g. 5 Let c(l) = -l**3 + 11*l**2 - 23*l + 47. Suppose 4*f + 4*g = 56, -21*f - 4*g = -20*f - 29. Let d be c(f). Solve 4 = -d*a - 2 for a. -3 Suppose -360 = -26*i + 8*i. Suppose 24*r = i*r. Solve 2*z + r = 6 for z. 3 Let s = -247 + 255. Let i be ((-16)/(-20) - s/10)/(-2). Solve i = -2*d - 0*d - 6 for d. -3 Let k(o) = -17*o + 8. Let p be k(18). Let u = 302 + p. Solve -7 = 3*t + u*t for t. -1 Let n be (1 + 5)*(2 - (3 - 3))*-4. Suppose 241 = -5*g + 3*x, -2*g - x - 106 = x. Let y = n - g. Solve 7 + y = -3*i for i. -3 Suppose -3*w = -3*g - 192, 5*g = 2*w - 137 - 198. Let v = g + 79. Solve 0*u - v = -2*u for u. 5 Let q(f) = -f**3 + 10*f**2 - 9*f + 3. Let g = 106 - 97. Let o be q(g). Solve 0 = x + o*x - 8 for x. 2 Let r be ((-16)/(-20))/((-7)/(-70)). Suppose 0 = -r*x + 4*x. Solve x = 7*z - 8 + 43 for z. -5 Suppose 0 = -382*n + 403*n - 147. Solve -12 = -19*g + n*g for g. 1 Let i(a) = 2*a + 97. Suppose 51*x - 138 = 54*x. Let l be i(x). Solve -8 = l*o + 17 for o. -5 Let g(z) = -19*z + 197. Let w be g(34). Let p = -447 - w. Solve h = p - 1 for h. 1 Let p(w) = -33*w - 3. Let v be p(-1). Suppose -13*k + v = -217. Suppose t - k = -2*f, 0*f + 17 = 4*f - 5*t. Solve -4*c = f + 8 for c. -4 Let z = -3260 - -3311. Solve z = -21*y - 75 for y. -6 Suppose u + 4*h - 20 = 0, -5*h + 25 = -8*u + 4*u. Suppose u*i = 4*a - 4*i - 12, -12 = -5*a + 2*i. Solve 4 = 3*r - a*r for r. 4 Suppose -2*f + 714 = -4*m, -3*m = -5*f + 2*f + 1080. Solve f = i + 361 for i. 2 Let h(k) = -k**2 + 11*k - 9. Let p be h(5). Let g be p/15 + 815/25. Solve 0 = -3*x + g - 46 for x. -4 Let c be (4 + 1 + -3)*(-402)/(-12). Suppose 11*v - 1 = -c. Let p be v*((-34)/66 - (-4)/22). Solve -p*j = j + 15 for j. -5 Let o be (-4)/6*(-7 - -4). Suppose 0*p + 29*p = 116. Suppose 11 = o*c + 5*z, 18 = 5*c - p*z - 26. Solve w + w = -c for w. -4 Suppose m + 5*t = 7 - 26, -4*m + t = -29. Suppose 5*o = v + 13, -2*v = 2 - m. Let a(d) = d**2 + 4*d - 93. Let k be a(8). Solve -3*q - o = k for q. -2 Let b(d) = -187*d - 6345. Let m be b(-35). Solve -34*v - m + 64 = 0 for v. -4 Let n = -95 + 143. Let p(k) = -10*k**2 + 2*k - 4. Let a be p(-2). Let y = n + a. Solve 0*m - 2*m - 10 = y for m. -5 Suppose -q + 51 + 45 = 3*d, 2*d - 4 = 0. Suppose -5*v + 430 = 6*x - 7*x, 0 = -x. Solve w + q = v for w. -4 Suppose 10*g - 22209 = -23*g. Solve -645 + g = -7*n for n. -4 Suppose -1766 = 14*b - 226. Let n = -107 - b. Solve 0 = -n*i - i - 4 for i. -1 Suppose 0 = 33*d - 1262 - 5008. Solve 187*a = d*a - 6 for a. 2 Let z be 428*((-144)/(-64) + -2). Solve -43*p + 21 = z for p. -2 Suppose 2*i + 32 = 128. Suppose -t + i = t. Let f = -2616 + 2621. Solve f*s = -t + 4 for s. -4 Let d(b) be the third derivative of -11*b**4/24 - b**3 + b**2 + 3. Let a be d(-1). Solve -a = 3*s - 2 for s. -1 Let w be (5 - 2)*(-20 + -2). Let c = -61 - w. Solve -m + 6*m = c for m. 1 Let o(n) = n**3 - 7*n**2 + 235*n - 1859. Let v be o(8). Solve -35 + v = 10*j for j. 5 Suppose -18*q - 1116 = 7326. Let c = -469 - q. Solve -4*y - 2*y - y = c for y. 0 Let g be (60/10 - -35) + 13. Solve -g*x = -55*x + 3 for x. 3 Suppose 3*v = 4*r + 3, 5*r = -3*v + 13 + 17. Solve 0 = -v*g - 48 + 38 for g. -2 Let r(t) = t**2 + 8*t + 11. Let f = -85 - -79. Let q be (-9)/f*8/(-12)*7. Let w be r(q). Solve -3*i + w = -7*i for i. -1 Let d = 14079 + -13968. Solve 2*g - 117 = -d for g. 3 Let a be 112/(-2 + 10)*(-2 - -3). Suppose -a = -2*c - 3*d + d, -2*c - 5*d = -17. Solve -7*z + c = -9*z for z. -3 Let f be 4/(-54) - (-13120)/2160. Solve 13 = f*t + 19 for t. -1 Suppose -19*q + 27 = -4 - 7. Let p be (-88)/(-10) - (-6)/30. Solve q*g - p = -1 for g. 4 Suppose v - h + 2 = 2*h, 0 = 5*h - 25. Let b(g) = 2*g**2 - 23*g - 30. Let u be b(v). Solve -j + u - 5 = 0 for j. 4 Suppose -17*v = -19*v + 12. Let m(j) = -v*j + 23 + 0*j - 7 + 5*j. Let f be m(10). Solve k = 4*k - f for k. 2 Suppose -5*x + 99 = 4*m, 2*x - 150 = -5*m + x. Suppose -9*i - 1187 = -1223. Suppose i*s - 4*b - 16 = 0, 17*s - 15*s = -2*b + 8. Solve 0 = -s*l + 11 - m for l. -5 Suppose -6 - 164 = 17*z. Let w be ((-4)/z)/((-1)/165*-11). Solve 0 = w*i - 44 + 14 for i. 5 Let i = 551 + -549. Solve -9 = -i*q + 11*q for q. -1 Suppose 4*j = -4*w, w - 7*j + 3*j - 15 = 0. Suppose z - 2*q - 15 = -0*z, -w*q - 35 = -4*z. Let g be (2/(-3))/(16/(-96)). Solve -z*d = -g - 6 for d. 2 Let g be (15/(-6) - -3)*8. Suppose 32*y - 36*y = -8. Suppose -2*q = 4*m - 3*q - 7, -4*q + 35 = 5*m. Solve y = g*f - m*f for f. 2 Suppose 4*d = 5*d. Let r be (d + 0 - (-7 - -7))/2. Suppose r = -3*b + 8*b - 10. Solve -b*c + 6 = c for c. 2 Let z = 4538 + -4498. Solve -453*r + 445*r = -z for r. 5 Let j(t) = -2*t**2 + 48*t - 14. Let x be j(19). Let c = -175 + x. Solve 0 = 4*a - c - 11 for a. 3 Let p(u) = -3*u + 27. Let s(c) = c**2 - 23*c + 30. Let k = -85 - -107. Let m be s(k). Let r be p(m)
{ "pile_set_name": "DM Mathematics" }
) assuming d is positive. d**(1201/84) Simplify (n**(4/5)*n**(-3)*((n*n*n/(n/(n*n**1))*n)/n)/n**2)/((n**0)**(-32)/(n**2)**(-4/23)) assuming n is positive. n**(-63/115) Simplify (((h**2*h)**(-29)/(h*h/(h*h/(h*h**5)*h*h*h)*(h*h**(-2/15)*h)/h))**(-15/7))**43 assuming h is positive. h**(58609/7) Simplify ((o**(8/5)*o**(1/9))/(o**(-15)/(o/((o*o/o**(1/5)*o*o)/o)*o)))**(-44) assuming o is positive. o**(-31504/45) Simplify (i**(2/15)*i**(-4/3)*(i*(i**3/i)/i*i)/i*i/(((i/(i/i**4))/i)/i))/((i**(2/3)*i**6)/(i/i**1)**10) assuming i is positive. i**(-103/15) Simplify ((c**32/(c/c**(-4)))/(c*c**(-1/38)*c*c**(1/11)/c))**23 assuming c is positive. c**(249343/418) Simplify ((l/(l**18/l*l)*l**1/l)/(l/(l**(6/5)/l))**50)**(-41) assuming l is positive. l**2337 Simplify ((y**(1/2))**22/(y*y/y**(1/3)*y)**(-1/3))/((y/y**(-5))/(y*y**(-3/8)))**(-4/23) assuming y is positive. y**(5309/414) Simplify ((u*u**3*u)/u*u*u**(-9)/u*((u**(-21/5)/u)/u)/(u/u**(3/4)))**(-23) assuming u is positive. u**(5267/20) Simplify (n**1)**(-13/4)/(n*(n*(n*n**(-1/2))/n*n)/n*n**0)*n**1/(n/n**3)*n**(1/6)*n*n/n**2 assuming n is positive. n**(-19/12) Simplify (((y*y**5)/y*y)/y**(-3))/(y/y**(-2)*y**(-1/2)*y)*(y/y**(-2/7))**(-3/17)*(y**0/y*y)/(y/y**(-4)) assuming y is positive. y**(65/238) Simplify (((((l*l**(-5))/l)/l)/(l**10*l))/((l**(10/9)*l)/l*l)**46)**28 assuming l is positive. l**(-28756/9) Simplify ((j/j**5)**(-2/3)*j**(-14/9)*j*j**(-8))**(-2/21) assuming j is positive. j**(106/189) Simplify (k/((k/k**(-9))/k*k))/k**4*k*k*k**(1/3)*k/((k**(4/5)/k)/k)*k*(k/k**(-1/2)*k**(2/29)*k)/(k**(-3)*(k/(k**(-5/3)*k))/k) assuming k is positive. k**(-2231/870) Simplify d**(-7)/(d*d*(d*d*d*(d*d**(-6))/d)/d)*(d**0)**(-36/7)*d**(1/6)/d*d*(d**(1/4)/d*d)/d*(d/(d**(1/2)/d)*d)/((d**(1/6)/d*d)/d) assuming d is positive. d**(-9/4) Simplify (a*a**(-1)*a)**0/(((a**(2/17)*a)/a)/a**(-5))*(a**0*a)**(-27)*(a**(-1)*a)**(18/5) assuming a is positive. a**(-546/17) Simplify ((y**20/(y*y*y*y/y**28*y*y))/(y**(-17)/y*y*y**21*y))**(-12) assuming y is positive. y**(-444) Simplify (((((t*t**22)/t)/(t/(t*t*t**(-4/19)*t)))**(-2/39))**(22/7))**(-18/7) assuming t is positive. t**(119328/12103) Simplify (((y*y**(-1/2)*y)/y)/y)**25/((y**2/y)/y*y)**(1/34)*((y/((y**(-3)*y)/y))/((y/(y/y**(-1/3))*y)/y))**(4/7) assuming y is positive. y**(-3589/357) Simplify (((h*h/h**0*h)/h)**(7/6)/(h**(-5/4)*h*h/(h*h**0*h*h*h)))/((h/(h**(-2/7)*h))**(-5/4)*(h**(-1/6)/h)/h*h*h**(-8)*h) assuming h is positive. h**(395/28) Simplify (((h*h**(-2/21)*h/((h*h*h/((h**(2/3)/h)/h)*h)/h))/(h*h/(h*h/h**(-2/5)*h)*h**(-1/11)))**32)**40 assuming h is positive. h**(-92416/77) Simplify (w**(8/5)*w*w*w**(-9)*w*w*w*w)**(-47/5)*(w**(1/2))**(-16/7)/(w/(w**7/w)*w/(w/(w*(w/w**(-7)*w)/w*w))) assuming w is positive. w**(1228/175) Simplify ((((p**(-1/6)*p*p)/p*p**(-3/7)*p)**(-4))**(-47))**29 assuming p is positive. p**(160834/21) Simplify (g*(g/((g*g**7)/g))/g*g/g**(-2))**(5/4)/((g*(g/(g*g*g**(-2/7)/g*g*g))/g)**(-29)/(g**(-1/8)*g**0)) assuming g is positive. g**(-3001/56) Simplify (((h/(h*(h**(1/3)*h)/h*h))/h)**(-26/9)*h**6/(h/(h*h**5)))/((h**(-2/3)*h)**(-35))**25 assuming h is positive. h**(8354/27) Simplify (r**3/(r/(r/(r*r**(-1/3)*r*r)))*(r/r**(2/7))**(-6/19))/(r**(-2/5)*r**(-1/3))**(-34) assuming r is positive. r**(-16509/665) Simplify ((n/n**(-2/5)*n/n**(-2/15))/(n**(-1/3)/n*(n/n**(2/9))/n))/((n**1/n)**(-3/4)*n**(-1)/n*n**(2/9)) assuming n is positive. n**(88/15) Simplify ((h/(h/(h/(h/(h*h*h**(-1/3))))))**(-1/11)*(h/((h**(-1/3)*h*h)/h*h))**45)/((h**0)**(-10/9)*(h*h/h**(2/3)*h)**21) assuming h is positive. h**(-2612/33) Simplify (w*w/(w*(((w*(w*w**(1/5))/w)/w)/w)/w)*w)/w**(-1)*w**4/w**(-2)*((w**(2/7)*w)/(w*w**(-2)))/(w/w**(1/4))**20 assuming w is positive. w**(-67/35) Simplify (((a*a**(2/23)/a)/a)**29/(a**12)**(-29))**(-2/71) assuming a is positive. a**(-14790/1633) Simplify (j**(-9)/j*j*j**(-3/8))**(2/41)/((j/j**7*j)/(j*j**(5/4)*j*j*j)*j**(-8)*j*j**(-5)) assuming j is positive. j**(1787/82) Simplify ((x/((x/(x/x**(1/7)))/x)*x*x)**26)**(-33)/((x/(((x*(x*x**(-2/13))/x)/x)/x))/x*x**(-4/13))**(-19) assuming x is positive. x**(-299695/91) Simplify ((((o*o/o**(-1/11))/o)/(o/(o/((o*o/o**22)/o))))/(o**(1/36)/o**(-2/11)))**(-28) assuming o is positive. o**(-60655/99) Simplify (n/(n*n*n**(-1)*n)*n)**1*(n/(n*n/n**(2/3)))**46*(n/(n/(n/(n**1/n))))/(n/n**5)*(n*n*n*n**(-1/2)*n)**3 assuming n is positive. n**(1/6) Simplify ((f/f**4*f)**(-35/4)*f**6*f**(-11))**(2/3) assuming f is positive. f**(25/3) Simplify (y/y**(-1)*y*y)/y*y*y*(y*y*y**5)/y*y*y**(-1/3)*(y/y**(-5)*y)/y*(((y*y**6)/y)/y**(-1/4))**(12/11) assuming y is positive. y**(808/33) Simplify ((f*f**2)**(24/7))**(-11)*((f/(f/((f*f/f**(2/3)*f)/f)*f*f))/f)**(2/87)/(f*f*f*f**4*f*f**(-2/5)) assuming f is positive. f**(-1103336/9135) Simplify (b**(7/4)*b)**(-5)/(((b*(b/(b*b**(2/39)/b))/b)/b)/b)**(-10) assuming b is positive. b**(-3785/156) Simplify (((n*n**(-6)*n)/n)/(n**(-6)*n))**(2/163)/(n**4/((n*n*n*n**(-1/4))/n*n))**(12/13) assuming n is positive. n**(-15/13) Simplify (y/(y/(y*(y*y*(y**23*y*y*y)/y)/y))*y**(-2/7)*y**(5/7)/y**(-1/16))**(9/4) assuming y is positive. y**(27711/448) Simplify (k**(-5/6)*(k**(-2/9)*k)/k)/(k**(-2/5)/k*k)**(-2/99)*(k**2)**(2/9)*k**(1/3)/k**(-1/8) assuming k is positive. k**(-637/3960) Simplify (((h/h**8)/h*h)/(h/h**(-2/13)))/(h**(-2/5))**(2/31)*((h/(h**(-2)/h))**11)**(1/4) assuming h is positive. h**(5787/2015) Simplify ((((m**(3/4)/m)/m)**(-34)/(m*m/((m**(-2/13)*m)/m*m)*m*m*m*m*m*m*m*m**(-5)))**30)**(7/5) assuming m is positive. m**(21483/13) Simplify (a**(-1/3)/a**5)**(-8/13)/((a/a**5*a)/(a**(-1)*a))**(-50) assuming a is positive. a**(-5722/39) Simplify (k/(k*k*k**(2/23)*k)*k/(k*k*k*k**(3/5))*k*k/k**(-3/10)*k*k*k**(4/5)*k)/((k**(2/3))**(-49)*(k*k*k**(-2/11))/(k*k**(-1))) assuming k is positive. k**(48973/1518) Simplify ((k**4)**(-1/2)/(k**8)**(6/25))**(-4/7) assuming k is positive. k**(56/25) Simplify (n**(-4/9)*n*n**7*n*(n*n/n**5)/(n/((n**(-1)*n*n)/n*n*n*n)))/((n**(-4/7))**(4/7))**(-39) assuming n is positive. n**(-2284/441) Simplify (j**2/j**4)/(j/(j**1*j)*j**(-5))*(j**(-6)*(j*j**(-2)*j)/j)**(2/5) assuming j is positive. j**(6/5) Simplify ((m/m**(-4/7))**(1/3)/(m/(m**9/m)*m**(-12)))**44 assuming m is positive. m**(18040/21) Simplify (z**0)**17/(z**(4/9)/z*(z/((z/(z*z**4))/z))/z)*(z*z*z/(z*z*z**1))**40*(z/((z/(z*z**5)*z)/z*z))/(z*z/(z**(1/4)*z)*z*z*z) assuming z is positive. z**(-115/36) Simplify ((c/(c/(c*c/c**(-2/7)*c)))**(10/13)/((c**(-20)/c)/(c/(c/c**(-2)))))**(-3/4) assuming c is positive. c**(-5877/364) Simplify ((n*n/n**4*n**(-4)*n*n**0/(n/n**5))**(-4/29))**(-2/117) assuming n is positive. n**(-8/3393) Simplify k**(2/13)/(k/(k*k**(-33)))*k*k/k**(-1/5)*k/((k*k**(-36)*k)/k) assuming k is positive. k**(348/65) Simplify (z**(1/2)*z*z*z**0)**(-1/25)*(z**(-1)*z*z**(1/5))/((z/z**(-2))/(z**(-3)/z)) assuming z is positive. z**(-69/10) Simplify (x**(-1))**(-13)/(x**1*x)**(-32)*((x**5/x)/(x/(x/x**(-3))))/(x**(3/11)/((x**(-1/9)*x)/x)) assuming x is positive. x**(8278/99) Simplify ((u*u**(2/43)*u**(-9)/u*((u**(3/5)/u)/u)/u**(3/8))**(-3/7))**12 assuming u is positive. u**(166077/3010) Simplify f/(f/f**(4/3))*f**(-5/2)/f*(f/(f*f**1))/(f*f**(-3/4)/f)*(f**(1/4)/(f/f**(-4)*f))**(12/5) assuming f is positive. f**(-973/60) Simplify ((v**(2/3))**(1/8)*v/(v**(-15)*v*v)*v/(v*v/(v**14/v)))**33 assuming v is positive. v**(3443/4) Simplify (((v**(-6)*v**(-5))/((v/(v*v**(4/3)/v))/((v**(-5)/v)/v)))**(-7))**(-21/5) assuming v is positive. v**(-2597/5) Simplify p**(-3/4)/p*p/p**7*p**(2/9)*p/p**2*((p/(p*p/p**(-4)*p*p))/((p/(p**(2/19)/p))/p))**(-37) assuming p is positive. p**(193967/684) Simplify (j*((j*j/(j*j**(-1/9)))/j)/j*j*j**(-3))/(j**1)**0*((j**3*j)/j)/(j**(1/2)*j)*(j/(j**(8/5)/j)*j)/j*j**(-8) assuming j is positive. j**(-719/90) Simplify (((w**0/(w/w**6*w))/(((w/(w/(w**(-1)/w*w*w)))/w)/w)**27)**(1/26))**(-3) assuming w is positive. w**(-87/13) Simplify ((o*o**(-1/6)/o)**(-40)/((o**(4/7)*o)/((o*((o*o/(o*o/(o*(o*o**(1/6))/o)))/o)/o)/o)))**11 assuming o is positive. o**(1969/42) Simplify (o**12/(o*o**(-16))*o**(-4/17)/(o*o*o*o**(-7)))**(-3/7) assuming o is positive. o**(-1569/119) Simplify t**(2/15)/t**5*(((t/(t*(t/(t**(-1/2)*t*t*t*t))/t))/t)/t)**(-1)*(t/(t**0/t))**44*t**4*t**(1/3) assuming t is positive. t**(2579/30) Simplify (v*
{ "pile_set_name": "DM Mathematics" }
2*(l - 34)**3/5 Let y(i) be the third derivative of 0 + i**2 - 3/2*i**4 + 0*i - 1/30*i**6 + 0*i**3 - 2/5*i**5. Suppose y(v) = 0. What is v? -3, 0 Let i be ((-4)/(-34))/((-302)/(-5134)). What is h in 1/4*h**3 + 0 + 0*h + 3/4*h**i = 0? -3, 0 Let b(p) be the first derivative of -p**5/130 + p**3/13 + 2*p**2/13 - 3*p + 31. Let t(v) be the first derivative of b(v). Factor t(r). -2*(r - 2)*(r + 1)**2/13 Let i(f) = 22*f**2 + 324*f + 266. Let p(x) = 9*x**2 + 130*x + 106. Let o(a) = 5*i(a) - 12*p(a). Factor o(j). 2*(j + 1)*(j + 29) Let j(v) = -v**3 + v**2 + 1. Let h(d) be the first derivative of 4 + 5*d - 9/4*d**4 + 5/3*d**3 + 2*d**2. Let c(a) = h(a) - 5*j(a). Let c(y) = 0. What is y? -1, 0, 1 Suppose -44 = -13*s - 9*s. Factor 2/3*d**s + 1/3*d + 0 + 1/3*d**3. d*(d + 1)**2/3 Let c(p) = -p**3 + 7*p**2 - 5*p + 4. Let i be c(6). Factor -12*o - i*o**2 - 4*o**3 + 0*o**3 - 4 - 2*o**2. -4*(o + 1)**3 Let q = 165 - 150. Let g be (q/6 + -2)/((-6)/(-4)). Suppose -g - 1/3*j**2 - 2/3*j = 0. Calculate j. -1 Factor 1/2*k**4 - 1/4*k**3 - 1/2*k**2 + 0 + 0*k + 1/4*k**5. k**2*(k - 1)*(k + 1)*(k + 2)/4 Let d be 1/4 + 893/188. Let m(o) be the third derivative of 1/4*o**4 + 3*o**3 + 0 + 0*o - 10*o**2 - 1/15*o**6 - 4/15*o**d. Solve m(h) = 0 for h. -3/2, 1 Let j be ((-8)/(-818))/((-105)/(-30009)). Let o = j - -2/409. Factor -4/5*v**2 + 0 + o*v**3 + 0*v + 8/5*v**4. 2*v**2*(v + 2)*(4*v - 1)/5 Factor -64*v - 8*v**3 - 128/3 - 2/3*v**4 - 104/3*v**2. -2*(v + 2)**2*(v + 4)**2/3 Let y(b) be the third derivative of -b**7/280 + b**6/300 + 22*b**3/3 - 11*b**2. Let n(i) be the first derivative of y(i). Suppose n(f) = 0. What is f? 0, 2/5 Let v(a) be the third derivative of -a**7/945 - a**6/270 + a**5/54 + a**4/18 - 100*a**2. Solve v(z) = 0 for z. -3, -1, 0, 2 Let u = -45249/2 - -22625. Factor -u*h**2 + 1/2 + 2*h - 2*h**3. -(h - 1)*(h + 1)*(4*h + 1)/2 Suppose -61 = -19*v + 91. Let 2*c**3 + 8*c + 146 - v*c**2 - 146 = 0. What is c? 0, 2 Let q = 50189/4 + -12547. Factor 1/4*o**2 - q*o - 1/2. (o - 2)*(o + 1)/4 Suppose 0 = -4*o - a + 14, 6*a - 4 = -4*o + 10*a. What is s in -11*s**3 - 4*s**5 + s**5 + 3*s**2 - 3*s**4 + 14*s**o = 0? -1, 0, 1 Let c(b) = -2*b**2 - 20*b + 3. Let a be c(-10). Let g(y) be the first derivative of -7 + 8/3*y**a - y**2 - 6*y. Factor g(h). 2*(h - 1)*(4*h + 3) Let d(f) = -26*f**2 + 35*f - 21. Let m(n) = 14*n**2 - 18*n + 10. Let j(u) = -6*d(u) - 11*m(u). Determine g so that j(g) = 0. 2, 4 Let t(v) = -26*v**2 + v - 2. Let y be t(1). Let u = y - -29. Factor 2*w - u*w**3 - 4*w**4 + 6*w + 4 - 6*w**3. -4*(w - 1)*(w + 1)**3 Suppose 14*t - 9*t - 860 = 0. Find s such that t + 15*s - 17*s**2 + 10*s**2 - 127 - 18*s**2 + 5*s**3 = 0. -1, 3 Suppose -2*g - 6 = -50. Determine c, given that 11*c**3 + 14*c**2 - 15*c**4 - 13*c**3 - g*c**3 - 2*c**2 = 0. -2, 0, 2/5 Let f(o) be the third derivative of -1/900*o**6 + 0*o - 10*o**2 + 0*o**4 + 0*o**5 + 0 + 5/6*o**3. Let v(w) be the first derivative of f(w). Factor v(h). -2*h**2/5 Let y(t) be the second derivative of -26*t + 0 - 14/5*t**2 + 1/25*t**5 - 26/15*t**3 - 1/3*t**4. Let y(i) = 0. What is i? -1, 7 Let b(x) be the first derivative of -3/16*x**4 + 3/8*x**2 + 0*x**3 + 17 + 0*x. Factor b(r). -3*r*(r - 1)*(r + 1)/4 Let h = -1703/5 - -1729/5. Let 4/5*r**2 + h*r**4 - 4/5*r + 7/5*r**5 + 0 + 27/5*r**3 = 0. Calculate r. -2, -1, 0, 2/7 Let k(n) be the second derivative of -6*n**3 + 20*n - 54*n**2 + 0 - 1/4*n**4. Factor k(m). -3*(m + 6)**2 Factor -g - 7*g + 2*g**2 + 0 - 12 - 2*g + 0. 2*(g - 6)*(g + 1) Solve 40*y - 2/3*y**4 + 0 + 34/3*y**3 - 152/3*y**2 = 0. 0, 1, 6, 10 Let w(o) = 15*o - 868. Let d be w(58). Let -10/7*n + 8/7*n**d + 4/7 - 2/7*n**3 = 0. What is n? 1, 2 Let i(z) be the second derivative of z**5/40 + z**4/8 - 2*z**3 + 7*z**2 - 237*z. Determine s so that i(s) = 0. -7, 2 Let x be ((-30)/(-55))/((-9)/(-60)). Find u such that 320/11*u**3 + 2560/11*u - x*u**4 + 2/11*u**5 - 2048/11 - 1280/11*u**2 = 0. 4 Let s be (-4 + 12)*(-69)/(-36). What is b in s*b - 10/3*b**4 - 18*b**3 + 22/3*b**2 - 4 + 8/3*b**5 = 0? -2, -1, 1/4, 1, 3 Let n = -21 - -27. Let q be (-4)/(-2) + (n - 6). Solve -33 + 15*c - 3*c + 8*c**q + 37 = 0 for c. -1, -1/2 Let i(f) be the second derivative of -8*f + 0 - 1/20*f**5 - 1/4*f**4 - 1/2*f**2 - 1/2*f**3. Factor i(w). -(w + 1)**3 Suppose 57 = 17*p - 45. Let d(a) be the first derivative of 25/18*a**6 - 3*a**5 - p + 0*a + 2*a**4 - 4/9*a**3 + 0*a**2. Suppose d(f) = 0. What is f? 0, 2/5, 1 Let o(g) be the first derivative of 3*g**4/28 + 8*g**3/21 - 5*g**2/14 - 6*g/7 - 15. Factor o(m). (m - 1)*(m + 3)*(3*m + 2)/7 Let m = 1602 - 1599. Let x(f) be the third derivative of 0*f**4 + 0*f**m + 0 + 1/180*f**6 + 0*f - 1/90*f**5 - f**2. Determine l, given that x(l) = 0. 0, 1 Find f, given that 9/2*f + 33/4*f**2 + 0 + 9/2*f**3 + 3/4*f**4 = 0. -3, -2, -1, 0 Determine m, given that 5/4 + 17/8*m + 3/8*m**2 = 0. -5, -2/3 Let t be 84/(-9)*6/(-8). Suppose -2*a - 10 = -t*a. Factor 2*k**3 + a*k**3 + 0*k**3. 4*k**3 Let i(u) be the first derivative of 0*u - 7 + u**3 + 0*u**2 + 15/4*u**5 - 15/4*u**4. Factor i(a). 3*a**2*(5*a - 2)**2/4 Let j(m) be the first derivative of 2*m**3/45 - 8*m**2/15 + 14*m/15 + 124. Factor j(g). 2*(g - 7)*(g - 1)/15 Suppose 8 = 2*i - z + 4*z, z = i - 4. Let p(h) be the first derivative of -3/4*h**2 - 3/10*h**5 - 3/2*h - i + 3/4*h**4 + h**3 - 1/4*h**6. Solve p(l) = 0 for l. -1, 1 Let v = 61/130 + 2/65. Let n be ((-25)/(-6))/(74 - 69). Determine j so that 1/6*j**4 + 1/6*j**3 - v*j**2 - 1/3 - n*j = 0. -1, 2 Let -175448/3*p**2 + 1/3*p**5 - 3136*p + 9407/3*p**3 - 56*p**4 + 175616/3 = 0. What is p? -1, 1, 56 Suppose 0*a - 2 = -a. Factor -15 - 2*c**2 - 3 + 0*c**a + 12*c. -2*(c - 3)**2 Let c = 50 - 43. Let i(o) = -o**2 + 5*o + 18. Let s be i(c). Factor -5/3*n**3 + 0 - 4/3*n**s - 2/3*n**2 - 1/3*n**5 + 0*n. -n**2*(n + 1)**2*(n + 2)/3 Let n(y) be the first derivative of 1/25*y**5 - 2/5*y**2 + 1/5*y**3 - 4/5*y + 1/5*y**4 + 3. Solve n(z) = 0. -2, -1, 1 Let p be 832/143 + 2/11. Suppose p = -j + 3*j. Suppose -f**j - 12*f - 3 - 6*f**2 + 0 - 9*f**2 - 5*f**3 = 0. What is f? -1, -1/2 Let b be (-25)/(-10) - (-1)/(-2). Factor 0*f - b*f - f**2 - 9 - 4*f + 0*f**2. -(f + 3)**2 Let f(w) be the first derivative of -2*w**5/5 - 3*w**4/5 + 8*w**3/15 + 6*w**2/5 + 2*w/5 - 28. Find b such that f(b) = 0. -1, -1/5, 1 Suppose 102*f**4 + 99*f**2 + 109*f**4 - 216*f**4 + 45*f**3 + 11*f**2 = 0. Calculate f. -2, 0, 11 Let g(w) be the first derivative of -w**4/30 - 4*w**3/15 - 3*w**2/5 - 10*w - 6. Let i(z) be the first derivative of g(z). Factor i(r). -2*(r + 1)*(r + 3)/5 Let i(v) be the first derivative of -2*v**3/3 - 3*v**2 - 312. Suppose i(t) = 0. Calculate t. -3, 0 Let a = 645/2584 + 1/2584. Solve -1/2*n + a*n**2 + 1/4 = 0 for n. 1 Let k(s) be the third derivative of 2*s**6/105 - s**5/14 - 2*s**4/21 + 5*s**3/7 - 248*s**2. Factor k(w). 2*(w - 1)*(w + 1)*(8*w - 15)/7 Let t(r) = -6*r - 14. Let q be t(-2). Let b be (-3 - (q + -1))/(3/(-3)). Determine u, given that b*u - 2/3 + 2/3*u**2 = 0. -1, 1 Let o = 16599 + -82991/5. Find a, given that -1/5*a**3 + 3/5*a - o*a**2 + 18/5 = 0. -3, 2 Let g be (1/4)/((-11)/12 - -1). Suppose -10 - 30*w**4 + 16*w + 5*w**5 + 35*w - 80*w**2 + 70*w**g - 6*w = 0. What is w? 1, 2 Let d(g) = g**2 - 3*g + 1. Let p(x) = 5*x**2 - 144*x - 3963. Let y(v) = 6*d(v) - p(v). Solve y(c) = 0 for c. -63 Let z be 2/(-35)*-5*-42*4/(-36). Suppose -z*y**2 + 4/9*y + 0 = 0. Calculate y. 0, 1/3 Factor 1469 - 1479 + 15*f + 30*f - 35*f**2. -5*(f - 1)*(7*f - 2) Let o(b) be the second derivative of -1/48*b**4 + 5*b + 1/40*b**5 + 0 + 1/120*b**6 - 1/12*b**3 + 0*b**2. Factor o(d). d*(d - 1)*(d + 1)*(d + 2)/4 Suppose -280*m**3 + 190*m**2 - 353*m**2 + 30*m + 240*m**4 - 5 + 178*m**2 = 0. Calculate m. -1/3, 1/4, 1 Factor 3/5*h**3 + 33/5*h**2 - 87/5*h - 117/5. 3*(h - 3)*(h + 1)*(h + 13)/5 Let 676*h**2 + 171125*h + 6*h**3 + 1174*h**2 - 6*h**3 + 5*h**3 = 0. Calculate h. -185, 0 Let x(t) = -t**2 - t + 1. Let r(l) = 2*l**2 - 175*l - 808. Let i(p) = -2*p**2 + 87*p + 404. Let d(g) = -7*i(g) - 4*r(g). Let h(o) = -d(o) - x(o). Factor h(s). -5*(s + 9)**2 Let w be -3*42/72 + (-145)/(-60). Factor w*m**2 + 0 + 0*m - 2/9*m**3. -2*m**2*(m - 3)/9 Suppose 2*g = y + 3*g - 4, 3*y - 12 = 2*g. Suppose -3*a + 2*a + 8 = -l, 0 = -a + y*l + 23. Factor -z**a + 2*z + 0 - z - z**2 + 1. -(z - 1)*(z + 1)**2
{ "pile_set_name": "DM Mathematics" }
- -8). Let v = n + -518701/1352820. Find the common denominator of v and 79/84. 420 Let a = 3988470 - 15355609361/3850. Find the common denominator of a and 57/20. 7700 Suppose -5*q + 5*v = 118393 + 30817, 0 = q + 4*v + 29832. Let t = -1879861/63 - q. Find the common denominator of t and 61/36. 252 Let t = -22 + 37. Find the common denominator of ((-10)/(-4))/((-168)/16) and t/18*(-194)/10. 42 Let q(y) = y**2 + 83*y - 263. Calculate the smallest common multiple of q(8) and 279. 1395 What is the common denominator of 113/1476 and (726/(-960))/((-1271)/124)? 14760 What is the common denominator of 39/32 and 7/(-21) - (-735)/1848? 1056 Let s = -12292 + 13413. Calculate the lowest common multiple of s and 472. 8968 Suppose -4*q = -8*q + 12. Suppose -q*u - 4*j = -j - 18, -2 = j. Let v(x) = -x**3 + 7*x**2 + 9*x. What is the least common multiple of 5 and v(u)? 40 Let i(p) = -2*p**2 + p - 3. Let a(b) = 2. Let y(t) = 3*a(t) - i(t). Calculate the lowest common multiple of 48 and y(-7). 912 Let n = -1301433 - -1317050305/1012. Calculate the common denominator of n and 21/22. 1012 Suppose 139 = 44*l - 812 - 9081. Calculate the lowest common multiple of 2204 and l. 6612 Let h be ((-12)/14)/(5/(-70)). Let l = -21 - -5. Calculate the common denominator of 47/6 and l/24 + 233/h. 12 Suppose 2*p - 75 = 8*i - 7*i, 0 = -p - 5*i + 21. What is the smallest common multiple of 555 and p? 6660 Let s = -8872861470617439/95108 + 93292482972. Let l = -362/403 - s. Find the common denominator of -139/18 and l. 2124 Let a = -3 + 11. What is the least common multiple of (-1 - -8) + 259 + -260 and (12/(-5))/(a/(-140))? 42 Let w = 937117/7075500 + 22/14151. Calculate the common denominator of w and 97/170. 8500 Suppose -2*k + f = 35 - 37, -3*k = 4*f - 36. Calculate the smallest common multiple of 2248 and k. 2248 Let j(k) be the second derivative of 11*k + 0 + 6*k**2 + 1/3*k**3. Calculate the least common multiple of 12 and j(4). 60 What is the common denominator of 53 + -51 + (2798/(-2778) - 1) and 13/9? 4167 Suppose -88*l - 930 = -83*l. Let c = -166 - l. Calculate the smallest common multiple of c and 30. 60 Let v = 45927/10 + -20254/5. Let g = -547 + v. Find the common denominator of g and ((-54)/(-16))/((-10)/(-4)). 20 Suppose 3*l + 2*m = 33, -3*l + 142*m - 141*m = -24. Let w(o) = 2*o**3 - o**2 - 2*o + 2. What is the lowest common multiple of w(2) and l? 90 Suppose 13*z - 2*i = 269, -2*i - 160 = -5*z - 59. Calculate the smallest common multiple of 77 and z. 231 Suppose 468 = 6*q - 2*r, 26*r = -2*q + 29*r + 142. Suppose 0 = 2*u + 1 - 5. Calculate the least common multiple of u and q. 80 Let s = -12 - -14. Suppose 0 = s*u + 4*y - 230, 65 + 377 = 4*u + 2*y. Let b = u + -73. What is the lowest common multiple of b and 10? 180 Calculate the common denominator of (4/((-912)/9))/((-84)/(-2744)) and (3 - 6) + (-24)/15. 190 Suppose 0 = 26*a - 3*a + 9*a - 288. What is the least common multiple of a and 310? 2790 Suppose -62*t - 117*t = -3222. What is the lowest common multiple of 18 and t? 18 Suppose 3*y = 57 + 3. Suppose -23*u + 18*u = -25. Suppose 0 = u*t + 2*b - 110, -2*t + b + 24 + 11 = 0. Calculate the least common multiple of y and t. 20 What is the common denominator of 2 + (-108)/57 + 95697/14136 and -67/2387? 19096 Let b(c) = c**2 - 19*c + 5. Let p be b(19). Suppose -2*t + 62 = -p*h, -2*t - 2*t - h = -80. Calculate the smallest common multiple of t and 21. 21 Let d = 338458981/36 - 9385962. Suppose 55117 = -4*j + 4*u - 7619, -2*u = -4*j - 62728. Let z = j + d. What is the common denominator of -81/22 and z? 396 Let j(d) = -3*d**3 + 28*d**2 + 32*d - 16. What is the lowest common multiple of j(10) and 4 + -2 - (3 - 5)? 104 Calculate the common denominator of 121/2700 and (-22300)/(-37800) - 15/6*18/75. 18900 Suppose -46 = -2*b + 4. Suppose m + 37 = 4*y, 3*y + 8 = 5*m + 23. What is the lowest common multiple of b/y + (-9)/(-6) and 36? 36 Let p(w) be the second derivative of -w**5/20 + 13*w**4/6 - 11*w**3/6 - 35*w**2/2 - 2*w + 146. What is the least common multiple of 2 and p(24)? 1706 Suppose 27*a - 7550 = -5*h + 25*a, 1522 = h - 2*a. Let p = 42297/28 - h. Calculate the common denominator of p and -13/76. 532 Suppose 4*n + 11726 - 11998 = 0. What is the least common multiple of 4233 and n? 16932 Let g = 129 + -127. Calculate the common denominator of (-76)/8*-5 - (g + 2) and 95/22. 22 Suppose 3 + 6 = -3*h, 0 = -4*q - 2*h + 46. Suppose 152 = -12*p + 212. Calculate the smallest common multiple of p and q. 65 Suppose 2*p - 170 = -2*m, 37 + 98 = 2*m - 5*p. What is the least common multiple of m and 1416? 14160 Let k = 6211 + -5819. What is the lowest common multiple of 245 and k? 1960 Let w be (-9)/(((-45)/(-6))/(-5)). Let a be w/(-9) + 2/(-6). Calculate the common denominator of -59/6 and 3/12 - a/(-19). 228 Let p be (79/(-4))/(1/(-16)). What is the smallest common multiple of 10/(-5 + 0) + 8 and p/10 + (-8)/(-20)? 96 Suppose 4*r - 5*p = 28672, 4*r - 45641 = 2*p - 16957. Calculate the smallest common multiple of r and 4. 28692 Let a = 12958 - 9527. What is the lowest common multiple of a and 292? 13724 Let s = -8867 + 8953. Let q be 87 + 3/((-3)/1). Suppose 4*a = q - 22. Calculate the smallest common multiple of s and a. 688 Let n(c) = -57*c - 881. What is the smallest common multiple of n(-44) and 5? 8135 Let f = 458011/30 + -15263. Calculate the common denominator of -127/6 and f. 30 Let v = -5 + 5. Suppose -5*b + v*o + 49 = 2*o, -2*o = b - 13. Suppose -7*z - 2*n = -3*z - 90, -3*n + 115 = 5*z. What is the smallest common multiple of b and z? 180 Suppose 0 = -22*o + 23*o - 2*v - 680, -3*v - 24 = 0. Calculate the least common multiple of 1411 and o. 11288 Let z(k) be the first derivative of -k**3/3 - 5*k**2 - 13*k + 56. What is the smallest common multiple of 5*(-1 + (-11)/(-5)) and z(-3)? 24 What is the common denominator of -29/3630 and (-1976)/(-5824)*49/(-14)? 29040 Let o = -20005/9 - -2230. Let x = -6/1063 + -48772/22323. Find the common denominator of o and x. 63 Let x = -25942 + 570821/22. Calculate the common denominator of x and 85/844. 9284 Suppose -12*d = 23 - 443. Let c = 1051/21 + -222/7. What is the common denominator of ((-41)/(-4))/(-7*d/(-98)) and c? 30 Let x = -11088 + 6885. Let b = 537973/128 + x. Find the common denominator of 91/36 and b. 1152 Let h be -4 - (9226888/13920)/(-11). Let t = 1661/29 - h. Find the common denominator of t and -3/20. 60 Let w be 16 + 17 - (-2 - (-1 - -2)). Suppose -2*h - 3*j + 26 = 0, 3*h - 5*j - 22 = w. Calculate the smallest common multiple of 4/(-10)*(-25 + -5) and h. 48 Suppose -5*r + 97 = f, f - r = 4*r + 127. What is the smallest common multiple of 80 and f? 560 Let u be (-3 + (-1010170)/(-16))*(-4 - 2). Let q = u - -375423. Let m = 3393 + q. Calculate the common denominator of m and -1/8. 8 Let u = 4/13 + -67/260. What is the common denominator of -18 - (-16 - 442/312) and u? 60 Let d be 15*(-1 - 14/3). Let f = -549 + 643. Let n = f + d. Calculate the smallest common multiple of 15 and n. 45 What is the common denominator of ((-17)/2 + 2)/(-2) and 1/3 + (1216/(-336) - 5)? 28 Let z = 32165831/363 + -88611. Calculate the common denominator of -149/138 and z. 16698 Suppose 770 = 5*a + 3685. Calculate the common denominator of a/(-990) + (-1)/3 and (164/60)/(-3*(-6)/45). 90 Let b = -163349043/644 - -253645. Let m = 73/28 + b. Calculate the common denominator of m and -13/49. 1127 Suppose 0 = t + 4*s - 641, 5*t + 3*s - 3265 = -2*s. Let k be t/(-12)*8/(-6). Let p = -37 + k. What is the least common multiple of 1 and p? 36 Suppose -2 = -3*c + 3*f + 10, c - 2*f = 3. Find the common denominator of -27/161 and c/(-2)*(-702)/(-81). 483 Let g be (-2)/(-5) + (-90237)/(-420)*16. Let c be (1/5)/(18/(-309545)). Let v = c + g. What is the common denominator of 71/30 and v? 90 What is the common denominator of -97/8 and (-72708)/488808*(-2)/((-16)/(-6))? 744 Calculate the common denominator of (-55)/(-1830)*(2 + (-42)/48) and -23/10. 4880 Let a(o) = -2*o**3 - 145*o**2 + 73*o + 8. Suppose -165 = -5*h + 4*g + g, 0 = -2*h - 2*g + 46. Calculate the least common multiple of a(-73) and h. 56 Let k be 15/(-140)*-4 + (-750111)/(-168). Let q = k - 4475. Calculate the common denominator of -13/14 and q. 56 Suppose -178*t + 684 = -216*t. Calculat
{ "pile_set_name": "DM Mathematics" }
**3 + 2*k**2 + k + 220 What is the f'th term of 19183, 38383, 57603, 76849, 96127, 115443, 134803? f**3 + 4*f**2 + 19181*f - 3 What is the i'th term of -665, -2805, -6373, -11369, -17793, -25645? -714*i**2 + 2*i + 47 What is the h'th term of 9266159, 9266158, 9266157, 9266156, 9266155? -h + 9266160 What is the a'th term of 189, 506, 823, 1140, 1457? 317*a - 128 What is the w'th term of -235035, -470069, -705103? -235034*w - 1 What is the c'th term of -112, -434, -940, -1630, -2504? -92*c**2 - 46*c + 26 What is the g'th term of -16997, -33995, -50993, -67991? -16998*g + 1 What is the x'th term of -160695, -160694, -160693, -160692, -160691? x - 160696 What is the i'th term of -175297, -350589, -525881, -701173, -876465, -1051757? -175292*i - 5 What is the a'th term of -114, -641, -1956, -4455, -8534? -66*a**3 + 2*a**2 - 71*a + 21 What is the w'th term of 929, 3670, 8229, 14600, 22777, 32754, 44525, 58084? -w**3 + 915*w**2 + 3*w + 12 What is the w'th term of -67002, -66995, -66984, -66969? 2*w**2 + w - 67005 What is the g'th term of 17, -167, -473, -901? -61*g**2 - g + 79 What is the m'th term of -570, -1126, -1696, -2292, -2926, -3610, -4356? -2*m**3 + 5*m**2 - 557*m - 16 What is the q'th term of 243, 347, 631, 1179, 2075, 3403, 5247, 7691? 14*q**3 + 6*q**2 - 12*q + 235 What is the b'th term of -2069, -2073, -2063, -2033, -1977, -1889, -1763, -1593? b**3 + b**2 - 14*b - 2057 What is the k'th term of -330, -64, 202, 468, 734? 266*k - 596 What is the u'th term of -34, 156, 668, 1664, 3306, 5756? 27*u**3 - u**2 + 4*u - 64 What is the w'th term of 332, -128, -902, -1996, -3416, -5168, -7258? -w**3 - 151*w**2 + 484 What is the u'th term of 4673, 4476, 4279? -197*u + 4870 What is the v'th term of -3812010, -7624018, -11436026? -3812008*v - 2 What is the s'th term of 135, 149, 181, 243, 347? 2*s**3 - 3*s**2 + 9*s + 127 What is the m'th term of 5337, 21329, 47979, 85287, 133253, 191877, 261159? 5329*m**2 + 5*m + 3 What is the d'th term of 16540, 16536, 16530, 16522, 16512, 16500, 16486? -d**2 - d + 16542 What is the a'th term of 90, 62, -8, -138, -346, -650, -1068? -3*a**3 - 3*a**2 + 2*a + 94 What is the b'th term of -924, -3729, -8412, -14973? -939*b**2 + 12*b + 3 What is the j'th term of -8063, -16033, -23913, -31709, -39427? -j**3 + 51*j**2 - 8116*j + 3 What is the t'th term of 5567, 5872, 6407, 7178, 8191, 9452, 10967? t**3 + 109*t**2 - 29*t + 5486 What is the f'th term of 23082, 23084, 23086, 23088? 2*f + 23080 What is the i'th term of 756, 3099, 6994, 12441, 19440, 27991? 776*i**2 + 15*i - 35 What is the s'th term of 851, 1800, 2835, 3962, 5187, 6516? s**3 + 37*s**2 + 831*s - 18 What is the y'th term of -281, -1159, -2645, -4739? -304*y**2 + 34*y - 11 What is the x'th term of 266, 265, 264, 263, 262? -x + 267 What is the h'th term of -186, -547, -1140, -1971, -3046, -4371, -5952, -7795? -h**3 - 110*h**2 - 24*h - 51 What is the j'th term of 20, -21, -116, -259, -444, -665, -916? j**3 - 33*j**2 + 51*j + 1 What is the k'th term of 1563, 3077, 4591, 6105? 1514*k + 49 What is the b'th term of 155743, 622893, 1401469, 2491465, 3892875, 5605693? -b**3 + 155719*b**2 + 25 What is the f'th term of -6404, -6423, -6456, -6503? -7*f**2 + 2*f - 6399 What is the g'th term of 390, 754, 1080, 1356, 1570, 1710? -2*g**3 - 7*g**2 + 399*g What is the x'th term of 70, 81, -26, -317, -858? -11*x**3 + 7*x**2 + 67*x + 7 What is the w'th term of -6377, -13521, -20665? -7144*w + 767 What is the c'th term of 259, 512, 761, 1006? -2*c**2 + 259*c + 2 What is the u'th term of -520, -642, -846, -1132, -1500, -1950? -41*u**2 + u - 480 What is the d'th term of 211, 800, 1841, 3340, 5303, 7736? d**3 + 220*d**2 - 78*d + 68 What is the o'th term of 198, 181, 164, 147? -17*o + 215 What is the j'th term of -163, -319, -481, -643, -799, -943? j**3 - 9*j**2 - 136*j - 19 What is the l'th term of 111260, 222520, 333778, 445034? -l**2 + 111263*l - 2 What is the x'th term of -50512, -50515, -50520, -50527? -x**2 - 50511 What is the g'th term of -2927, -5863, -8809, -11765, -14731, -17707? -5*g**2 - 2921*g - 1 What is the d'th term of 996, 1874, 2754, 3636, 4520, 5406? d**2 + 875*d + 120 What is the n'th term of 13624, 13905, 14180, 14443, 14688, 14909, 15100? -n**3 + 3*n**2 + 279*n + 13343 What is the t'th term of 320, 365, 396, 407, 392, 345? -t**3 - t**2 + 55*t + 267 What is the y'th term of 17, -2254, -8421, -20434, -40243, -69798? -325*y**3 + 2*y**2 - 2*y + 342 What is the b'th term of -103, -54, -5? 49*b - 152 What is the j'th term of -6264, -12535, -18806, -25077, -31348, -37619? -6271*j + 7 What is the r'th term of 3333, 5815, 8297, 10779, 13261, 15743? 2482*r + 851 What is the f'th term of -8835, -9082, -9483, -10032, -10723, -11550, -12507? f**3 - 83*f**2 - 5*f - 8748 What is the z'th term of -118, -233, -344, -451, -554? 2*z**2 - 121*z + 1 What is the j'th term of -7850, -15711, -23572, -31433? -7861*j + 11 What is the b'th term of 768, 3231, 7374, 13197? 840*b**2 - 57*b - 15 What is the h'th term of 19, 111, 287, 547? 42*h**2 - 34*h + 11 What is the b'th term of -80, -88, -48, 64, 272, 600, 1072, 1712? 4*b**3 - 36*b - 48 What is the k'th term of 1793, 3675, 5557, 7439, 9321? 1882*k - 89 What is the y'th term of 985, 1100, 1215, 1330, 1445? 115*y + 870 What is the p'th term of 656, 619, 584, 551, 520, 491? p**2 - 40*p + 695 What is the h'th term of -3168, -12705, -28608, -50877, -79512, -114513, -155880? -3183*h**2 + 12*h + 3 What is the v'th term of 71, -477, -1353, -2527, -3969, -5649? 5*v**3 - 194*v**2 - v + 261 What is the q'th term of 930, 1419, 1908, 2397, 2886, 3375? 489*q + 441 What is the x'th term of 1921, 1938, 1955, 1972, 1989, 2006? 17*x + 1904 What is the z'th term of -848, -906, -1004, -1142, -1320? -20*z**2 + 2*z - 830 What is the d'th term of 108, 319, 654, 1119, 1720? d**3 + 56*d**2 + 36*d + 15 What is the w'th term of -147514, -590055, -1327624, -2360221, -3687846, -5310499? -147514*w**2 + w - 1 What is the x'th term of 8073, 8123, 8187, 8271, 8381, 8523, 8703, 8927? x**3 + x**2 + 40*x + 8031 What is the v'th term of -1744, -4071, -6978, -10465, -14532? -290*v**2 - 1457*v + 3 What is the g'th term of -3149, -6297, -9437, -12569? 4*g**2 - 3160*g + 7 What is the a'th term of -4878, -4401, -3924, -3447, -2970? 477*a - 5355 What is the a'th term of -2789, -3027, -3425, -3977, -4677, -5519? a**3 - 86*a**2 + 13*a - 2717 What is the r'th term of -2852, -5991, -9140, -12305, -15492, -18707? -r**3 + r**2 - 3135*r + 283 What is the p'th term of 2578, 2507, 2388, 2221, 2006? -24*p**2 + p + 2601 What is the u'th term of 280, 684, 1198, 1822, 2556, 3400, 4354? 55*u**2 + 239*u - 14 What is the d'th term of -197, -246, -285, -314? 5*d**2 - 64*d - 138 What is the j'th term of -2496367, -2496368, -2496369, -2496370? -j - 2496366 What is the h'th term of 22058, 44164, 66274, 88388? 2*h**2 + 22100*h - 44 What is the x'th term of -34, -48, -56, -58? 3*x**2 - 23*x - 14 What is the t'th term of -527431, -1054860, -1582289, -2109718, -2637147, -3164576? -527429*t - 2 What is the a'th term of -57, -124, -215, -342, -517, -752? -2*a**3 - 53*a - 2 What is the c'th term of -509350, -509352, -509354? -2*c - 509348 What is the j'th term of 3197, 6381, 9567, 12755, 15945, 19137? j**2 + 3181*j + 15 What is the t'th term of -42152, -84322, -126504, -168704, -210928, -253182? -t**3 - 42163*t + 12 What is the f'th term of -1800, -1583, -1230, -747, -140, 585? -f**3 + 74*f**2 + 2*f - 1875 What is the h'th term of -1427633, -1427638, -1427643, -1427648, -1427653? -5*h - 1427628 What is the u'th term of 3915545, 3915543, 3915541, 3915539, 3915537? -2*u + 3915547 What is the u'th term of 1, -61, -183, -365? -30*u**2 + 28*u + 3 What is the q'th term of 22352, 22347, 22342, 22337, 22332, 22327? -5*q + 22357 What is the l'th term of -4260, -16902, -37934, -67362, -105192, -151430? -l**3 - 4189*l**2 - 68*l - 2 What is the o'th term of 1150, 776, 152, -722, -1846, -3220, -4844? -125*o**2 + o + 1274 What is the l'th term of -26252, -26255, -26258, -26261, -26264, -26267? -3*l - 26249 What is the j'th term of 44, 94, 164, 242, 316, 374, 404, 394? -2*j**3 + 22*j**2 - 2*j + 26 What is the u'th term of -5201355, -10402708, -15604061? -5201353*u - 2 What is the i'th term of 1419, 2875, 4325, 5769, 7207? -
{ "pile_set_name": "DM Mathematics" }
*r = -3 + 9. Is (i/(-12))/(r/4) a prime number? True Let v(d) = d**2 + 3*d - 1. Let z(m) = m - 2. Let c be z(-2). Let b be v(c). Suppose -b*t - 4*p + 0*p + 45 = 0, -69 = -3*t + 4*p. Is t a prime number? True Suppose 0 = -5*o - 4*o + 27. Suppose 5279 = 2*q + o*l + 186, -5*l = 2*q - 5095. Is q a composite number? True Suppose -6*o + 10312 + 16892 = 0. Is o composite? True Let b = -3 + 5. Let p(c) = -c**3 + 4*c**2 - 3*c + 4. Let y be p(b). Suppose y*m + 0*m - 1074 = 0. Is m composite? False Is (7 + -3)*(-497)/(-28) composite? False Let v(z) = 73*z + 2. Let m be -3 - (2 - 3) - -4. Let d be ((-50)/20)/(m/(-4)). Is v(d) prime? True Suppose -2*i = 3 - 1. Let v be 8 - (0 + i/(-1)). Is (-371)/v*1*-1 a composite number? False Let h be 4/(-12)*(0 - -2)*-3. Suppose -u = x - h*u - 461, 4*x - 5*u - 1842 = 0. Is x a composite number? False Let j(y) = 4739*y**2 + 6*y - 33. Is j(-4) a composite number? False Suppose 0 = -89*a + 98*a - 16029. Is a prime? False Suppose 10*w - 75290 = 5*w. Is w a composite number? True Suppose 324 = d + d. Suppose i = -i + 550. Let z = i - d. Is z a composite number? False Let w = 246 - 481. Let o = 120 + w. Let g = -53 - o. Is g composite? True Let o(n) = -7*n**2 - 2*n - 21. Let j be o(7). Is 1*(-4 + -1) - j a prime number? True Suppose -5*s = -5*a - 1225, -s - 3*a = s - 470. Let k(t) = -t**3 + 7*t**2 - 4*t + 16. Let w be k(7). Let b = s - w. Is b a composite number? True Let z be (-636)/5 + (-7)/(-70)*2. Let s = -48 - z. Is s prime? True Let y(s) = 2*s**2 - 4*s + 3. Let a be y(2). Suppose -a*j - 2*k = 13, k - 3*k + 5 = -3*j. Is ((-3)/(-9))/(j/(-711)) a prime number? True Let n(z) = 16 - 68*z - 128*z + 60*z + 21. Is n(-6) a composite number? False Let l(x) = 72*x**2 + 93*x + 22. Is l(23) a composite number? True Let a be 9 + -1 - 6/2. Suppose 5*h - 14 = 11, -4*h = -3*g - a. Suppose 4*i + g*x = 636, -i + 117 + 42 = x. Is i a composite number? True Let i = -1 + 1. Let u be 121 - (-3 - 0/3). Suppose i = 4*d - u - 112. Is d a prime number? True Let b be -2 + -22 - (1 + -3). Let j = b - -437. Is j prime? False Let g = -26 - -27. Is (-1 - (3 + g + -3)) + 375 composite? False Let z(t) = t + 8 - 9 + 0*t. Let q be z(3). Suppose 2*l = b + l - 84, -q*b - l + 171 = 0. Is b a prime number? False Suppose 2*y - 3*a - 996 = -y, 4*y - 1322 = -2*a. Suppose -3*r + r = 5*w, -4*w + 18 = -2*r. Suppose i + y = w*i. Is i prime? True Let k be (-22)/(-8) - (-2)/8. Let n(x) be the second derivative of 33*x**4/4 + x**3/2 + x**2/2 - 74*x. Is n(k) a composite number? True Suppose m = -4*c, 0 = -5*m - 16 - 4. Is 496 + (12/8)/(c/2) a composite number? False Suppose -4*f = -j - 17, 3*j = -j - 2*f + 22. Suppose -j*i = 2*n - 2017, -4*n + 1835 = 4*i - 861. Is i a prime number? False Let x = 921 + -584. Let k = x + -201. Let s = 210 - k. Is s prime? False Let y(t) = 11*t**2 + 18*t - 22. Is y(21) prime? False Let z(c) = 106*c**2 + 9*c - 17. Is z(-26) composite? True Let p(w) = -4476*w - 97. Is p(-9) prime? False Let v(z) = 8*z**2 - 6*z - 1. Let t be v(6). Let s = -26 - 106. Let g = s + t. Is g a prime number? False Suppose -q + 4 = -3*q. Is q*(2314/(-4) + (-9)/3) composite? False Let z(c) = 141*c - 13. Suppose 2*k = 3*k - 1, 0 = -4*j - 2*k + 18. Is z(j) composite? True Let n = 1140 - 1326. Let x(c) = -4*c**2 - 2*c + 5. Let o be x(4). Let u = o - n. Is u prime? False Suppose x + x = -2*x. Suppose x*q - 10*q + 4990 = 0. Is q a prime number? True Let n be ((-1)/(-3))/((-2)/42). Let m(x) = -x**2 + x + 1. Let h(l) = 6*l**2 - 15*l - 11. Let u(d) = h(d) + 5*m(d). Is u(n) prime? True Let d = 11 - 9. Suppose d*c - 2 = c. Is 432 + -5 + (2 - c) a composite number? True Let k be (26/(-8) - -2)*-4. Suppose 4*w - 3*j + 17 = 0, -3*j + 2 = k*w + 3. Is -6*w/4 + 80 composite? False Suppose 0*l + 4 = 4*l. Let t(u) = 177*u + 1. Let j be t(l). Is (j/4)/(1/2) a composite number? False Suppose -4*s - s + 5*i = -3645, 2*s - 1463 = i. Is s composite? True Let v(c) = 70*c**3 + c**2 - 2*c + 19. Let o be v(5). Suppose 0 = 4*j - 1832 - o. Is j a prime number? False Let q(r) = -r**3 - 8*r**2 + 10*r + 12. Let w be q(-9). Suppose -4*c + 3145 = k, 2*k + 15 = -w*k. Is c a composite number? False Suppose 12 = 5*t - 2*q - 26, -4 = -t + 4*q. Suppose -10 = -t*f + 3*f. Suppose f*p + 85 = 3*p. Is p a composite number? True Suppose -5*q - 23 = -4*w, 0*q = 5*w - 4*q - 40. Let t be (-16)/(-6) - 8/w. Is (53/t)/(4/40) prime? False Let c(t) = t**3 + 17*t**2 - 10*t - 54. Is c(-10) a prime number? False Let k(o) be the third derivative of -1/6*o**3 + 1/12*o**4 + 0 - 4*o**2 + 23/60*o**5 + 0*o. Is k(2) a prime number? False Is ((-386042)/(-114))/(2/30) - 6 a prime number? True Let o(s) = 230*s - 25*s - 22 + 409*s. Let l be o(11). Suppose 4*m = -1040 + l. Is m prime? True Suppose 3*j = -3*m - 9, -5*m - 19 = 1. Let t(u) = 313*u + 4. Is t(j) prime? True Suppose -5*i + 5*y + 20 = -10*i, -5*y - 20 = 3*i. Suppose 5*q - 6450 + 2195 = i. Is q a composite number? True Let w(i) = 30494*i - 67. Is w(1) a composite number? False Suppose -3*x = -a - 21838 - 39368, 20398 = x + a. Is x a composite number? True Let i = -312 - -129. Let o = -82 - i. Suppose -3*t = -2*r - 106 - 157, t - 4*r = o. Is t a composite number? True Is (-2129)/(0 + 4 + -3 - 2) a prime number? True Let w(r) = -r**3 + 8*r**2 + 6*r - 5. Let m(u) = -u**3 + 5*u**2 - 2*u - 1. Let x be m(4). Let a = x + 1. Is w(a) a composite number? False Let t = 106001 + -65214. Is t a prime number? True Let v be -2 + (-28)/(-4) + -1. Suppose -5*t = 5*j - 3435, -4*t + v*j + 1428 = -1304. Is t composite? True Suppose 3*o - 14445 = 3*z, 2*z + 3*z = -10. Is o a prime number? True Let c = 4960 + -3447. Is c a composite number? True Suppose 161*d - 1462 = -s + 162*d, 4*d = 2*s - 2916. Is s a prime number? False Let l = 9116 - 1215. Is l composite? False Suppose -6*w + 10768 = -1466. Is w composite? False Suppose -11*y = -12*y + 1657. Is y a composite number? False Suppose 5*k + 3 = -4*i, -8*k + 3*k + 5*i = 30. Is (k/(-2) + -1)*(-3 + 577) prime? False Let z be 0 + (0 - 0) + 0. Suppose -4*g + 2*y - 13 + 1 = z, g = -5*y + 8. Is (-104771)/(-255) - g/15 a prime number? False Suppose 2*j = 10 - 0. Let z = -5 + j. Suppose z*l + 3*l - 269 = -h, -l = -h + 261. Is h composite? False Let p(v) = v - 8. Let z be p(10). Let u be (1 + 2/z)*4. Suppose u*l - 185 = 3*l. Is l a composite number? False Suppose 0 = 3*l - q - 1517, -3*l + 2*q + 619 + 900 = 0. Is l a composite number? True Let o be (3520/25)/((-9)/5 + 2). Suppose -2*d - 4*g + 2470 = -o, 2*g = d - 1567. Is d composite? True Suppose -10*q + 62048 = 16688. Suppose -u - 6*n = -11*n - 1140, -4*u = 4*n - q. Is u a prime number? False Let v(p) = p**2 - 13*p - 6. Let b be v(11). Let o = b + 43. Is o a composite number? True Suppose -5*u + 16 = -3*u. Suppose -u*g = -5*g - 393. Is g composite? False Let s(q) = -8*q**3 - 3*q**2 - 5*q - 13. Is s(-6) prime? True Suppose o = 4*o - 153. Suppose 4*v + 60 + 52 = 0. Let x = v + o. Is x prime? True Suppose -90*w + 97*w - 59962 = 0. Is w composite? True Let s(u) = -5*u**2 + 6*u - 19*u**3 + 6*u + 4*u - 21*u - 1. Suppose 4*z = 7*z - 3*n - 9, -4*n - 30 = 5*z. Is s(z) composite? True Let c be -2*126 + -1 + 5. Suppose -2*k + 10 = 3*k. Is 0 + k + (1 - c) a composite number? False Let l(g) = 5008*g + 485. Is l(6) a composite number? True Let f = -19 - -1. Let v = 27 + f. Suppose 6*n = v*n - 921. Is n composite? False Suppose 8*o = -3*o + 8459. Is o composite? False Let o be (-18)/(-12)*(1 + -2 - 5). Is 33*(0 + (-411)/o) prime? False Let d = 9888 - 6529. Is d a composite number? False Let q be (-16)/4 - -2 - -3. Let m(a) = -2383*a**2 + a. Let h be m(q). Is (-9)/6*h/9 a composite number? False Let v(y) = -16*y**3 - 4*y**2 - 5*y - 13. Let f be v(-4). Suppose 0*a - 5*a = -4*r - f, 5*a = 3*r + 964. Is a a prime number? True Let d = 10656 + -889. Is d a prime number? True Is (0 - 2)/((-6)/127671) a composite number? False Suppose 12*n + 96 = 8*n. Let c(x) = -34*x - 37. Is c(n) prime? False Let f(q) = -2*q + 2*q - q. Let r be f(-5). Let z(w) = 5*w**2 - 4*w - 8. Is z(r) composite? False Suppose -m + f - 2 = 0, -2*m = -0*m + 3*f - 11. Let l(k) be the second derivative of 53*k**5/5 - k**4/6 + k**3/3 - k**2/2 - k. Is l(m) a prime number? True Let x = -3102 - -5285. Is x composite? True Suppose -8*v - 4*v + 300 = 0. Suppos
{ "pile_set_name": "DM Mathematics" }
is the units digit of t? 8 What is the units digit of 24*(16/3 - 3)? 6 Let c(w) = -w**3 - w**2 + 2*w - 2. Let n be c(-3). Let v = -6 + n. What is the units digit of v? 4 Let j = -115 - -127. What is the tens digit of j? 1 Suppose -s - m - 5 = -2*m, 2*s - 3*m = -13. Suppose 0*t = 2*t + 2. What is the units digit of (4 - 2)*t/s? 1 Let m(d) = -4*d - 16. What is the units digit of m(-11)? 8 Let r(s) = -7*s**3 - 3*s**2 - 5*s - 8. What is the hundreds digit of r(-3)? 1 Let y = -10 + 4. What is the tens digit of (-2)/y + (-56)/(-3)? 1 What is the tens digit of (115/25 - 5) + 674/10? 6 Let a(c) = 27*c - 1. Let x be a(1). Suppose 3*i = -z + 10, -5*z = -2*z + 5*i - x. What is the units digit of z? 7 Suppose -4*k = 2*l + l, -4*k - 24 = -3*l. Let y be (-2)/8 + (-14)/8. What is the units digit of (y - 7/k)*3? 1 What is the tens digit of 6*1/8 + 733/4? 8 Let i(h) = -h**3 - 4*h**2 - 2*h. What is the units digit of i(-5)? 5 Suppose -4*g = 2*u - 86, 2*g - u = 34 + 19. What is the units digit of g? 4 Let u be (0*3/6)/(-2). Suppose u = -4*w + 16. What is the units digit of w? 4 Let p be 58/7 - (-2)/(-7). Suppose p = h - 2. What is the units digit of h? 0 Suppose -k - 5*h = -288, 3*h + h = -2*k + 594. What is the hundreds digit of k? 3 Let z(v) = -v**3 - 8*v**2 - 6*v - 12. Let d be z(-8). Let b = -25 + d. What is the units digit of b? 1 Let b = 170 + -155. What is the units digit of b? 5 Let j = 1 - 1. Suppose j = n - 2 - 1. What is the units digit of n? 3 Suppose -9 = -6*r + 3*r. Let l(t) = -r*t - t + 4 + 3*t + 2*t. What is the units digit of l(3)? 7 Suppose -5*p + 112 = -233. What is the tens digit of p? 6 Let c = 95 - 58. What is the units digit of c? 7 Let p(t) = t**3 + 2*t**2 - t - 2. Let g be p(-2). Let d be (g + 3)/((-3)/(-2)). Suppose -d*q = -3 - 7. What is the units digit of q? 5 Suppose -g + 83 = -10. What is the units digit of g? 3 What is the tens digit of (-9988)/(-28) + 2/(-7)*-1? 5 Suppose -9 = -z - i, 0*i = -5*z + i + 45. Suppose 0 = -a + 1 + z. What is the tens digit of a? 1 Let v = 2 + 0. What is the units digit of ((-5)/3)/(v/(-18))? 5 Let m = -4 - -5. Let u be 7*((-2)/14 - -1). What is the units digit of (9*u/9)/m? 6 Suppose 3*w + 5*p = -4, -5*w + 2*p + 17 = -4*w. Suppose w*m - 55 = 2*m. What is the units digit of m? 1 Let g be 10/(-15) - (-28)/(-3). Let b be (2 - 3)*(1 - g). Let r = 4 - b. What is the tens digit of r? 1 Suppose -5*r + 8*a = 3*a - 175, 0 = -5*r + 2*a + 175. What is the tens digit of r? 3 Suppose -4*h = 5*y - 115, -2*h + h + 27 = 3*y. What is the tens digit of h? 3 Suppose y - 6*y = -20. What is the units digit of y? 4 Let p be 2/6 - 16/3. Let h = p - -4. What is the tens digit of 1 + h + (-7 - -21)? 1 Suppose 4*q - 227 = -19. What is the tens digit of q? 5 Suppose -3*r - 15 = 0, 0 = -x + 6*x + 5*r - 140. Suppose -21 = -k - 3*g + 18, -3*g = -k + x. What is the units digit of k? 6 Let b(y) = 5*y**2 - 6. What is the tens digit of b(3)? 3 Suppose 9*d = 1883 - 182. What is the tens digit of d? 8 Suppose -30 = -j + 6*j. Suppose 3*c - 30 = -5*k, 3*c - 5*k - 30 = -0*c. Let z = c - j. What is the units digit of z? 6 Suppose 5 = 3*n + 4*q, 3*n + q + 7 = 3*q. What is the tens digit of (24/(-16))/(n/14)? 2 Suppose i - 1 = -6. What is the units digit of (2/5)/((-1)/i)? 2 Suppose -5*l = -3*u - 37, l - 11 - 6 = 3*u. Let o = 10 - l. Suppose 9*z = 4*z + o. What is the units digit of z? 1 Suppose 0 = 5*d - 2*t + 55, -t = 5*d - 0*t + 55. Let m = 16 + d. What is the units digit of m? 5 Let y = 9 + -4. What is the units digit of (y/2)/(3/12)? 0 What is the units digit of (11 - 15) + 59*1? 5 Let p(k) = 15*k**3 - 2*k**2 + 2*k - 1. Let u be p(1). What is the tens digit of (-42)/u + -1 + 25? 2 Let k = 16 - 0. Suppose i = -3*i + k. Suppose -1 = 3*n - i. What is the units digit of n? 1 Suppose -2*k = 5*w - 177, -w + 51 = 4*k - 276. Suppose 0 = 5*x - k - 104. What is the units digit of x? 7 Let z = -1 + 10. Let d(m) = m**3 - 10*m**2 + 12*m - 11. Let p be d(z). Let j = p - 11. What is the units digit of j? 5 Suppose -w + 0*w + 29 = 0. Let x be (0 + -3)/((-1)/(-4)*-6). Suppose -w + 99 = 5*d - x*r, 4*d - 84 = -4*r. What is the units digit of d? 6 Let o = -5 + 9. Suppose 0 = 2*q - 3*q + o. Suppose -q*a + 90 = 5*u, -6*u + 2*u = -a - 51. What is the tens digit of u? 1 Let z(u) = u**2 - 7*u + 5. What is the units digit of z(12)? 5 Let i(y) = 22*y + 2. Let k be i(3). Suppose -d + 97 = 4*a, 174 = 4*a - 2*d + k. What is the tens digit of a? 2 Suppose 0 = -0*u + u - 7. Let o(k) = k**2 - 5*k - 2. What is the tens digit of o(u)? 1 Suppose 2*s = 6, 2*d - 8 = s - 3. Let c = -3 + d. What is the units digit of c? 1 Suppose 6 = -5*q - 9. Let v(g) = -g**3 - 3*g**2 - 3*g - 1. Let y be v(q). Suppose 5*u - y - 52 = 0. What is the tens digit of u? 1 Let b(j) = -j**2 - 6*j - 5. Let u be b(-4). Let i = u - 1. Let w = 3 - i. What is the units digit of w? 1 Suppose -94 = -4*j - 2*t, -3*j = 3*t - 7 - 59. What is the tens digit of j? 2 What is the tens digit of (62/10)/(14/70)? 3 Let o = 76 + -43. What is the tens digit of o? 3 Let y = 6 + -4. Let k(w) = -1 + 2*w - 6*w + y + w. What is the units digit of k(-4)? 3 Let s(u) = 6*u - 1. Let l(z) = -3*z + 1. Let i(a) = -11*l(a) - 6*s(a). What is the units digit of i(-7)? 6 Let y(f) = f - 1. Let u be y(1). Suppose 4*l + 0*l = u. Suppose 0 = -4*s - 2*a - l*a + 14, 5*s = -2*a + 18. What is the units digit of s? 4 Let v(h) = 7*h**3 - h**2 - 5*h + 1. Let i(a) = 6*a**3 - 2*a**2 - 4*a + 1. Let q(r) = 6*i(r) - 5*v(r). What is the units digit of q(7)? 8 What is the units digit of 27/(-18) - 166/(-4)? 0 Let v be -2 + 2 + 0 + 40. Suppose v = 4*c + c. What is the units digit of (1/2)/(1/c)? 4 Let z(u) = -210*u + 11. What is the hundreds digit of z(-1)? 2 Let z = -16 + 10. Let l(d) = -d**3 - 6*d**2 - 3*d - 5. Let v be l(z). Let j = v - 6. What is the units digit of j? 7 Let m be (-12)/(-24)*2*6. What is the tens digit of (4/m)/((-2)/(-36))? 1 Suppose 17 = 2*n - 5. What is the units digit of n? 1 Let i(s) = -20*s - 3. Let f be i(-2). Let p(l) = -4*l**3 - l. Let j be p(-1). Suppose 1 = -3*z + j*u, 4*z = -u - 0*u + f. What is the units digit of z? 8 Suppose 4*z + 0 = 24. Let w(s) = s - 5. Let y be w(z). What is the units digit of y + -3 + 7 + 0? 5 Let f = 10 - -4. What is the tens digit of f? 1 Suppose -4*h = -3*q + 18, 2*q + 2*h = -2*h - 8. What is the units digit of (-3 + q)/(4/(-68))? 7 Let n(x) = 3*x**3 - 4*x**2 + 9*x + 5. Let v(i) = 3*i**3 - 4*i**2 + 8*i + 4. Let o(j) = -5*n(j) + 6*v(j). What is the units digit of o(2)? 3 Suppose 5*y = 3*y + 22. What is the units digit of y? 1 Let z(g) = g - 8. Let o be z(8). What is the tens digit of ((-15)/(-12) - o)*12? 1 Suppose -4*f + 2*y = 6*y - 156, 0 = -4*f - 5*y + 153. What is the units digit of f? 2 Let a = 3 - -1. What is the tens digit of 12/(((-8)/(-4))/a)? 2 Suppose -4*t + 945 = t. What is the hundreds digit of t? 1 Let m(y) = -y**2 + 10*y - 2. Let z be -1*1 + -5 + 15. Let v be m(z). Let i = 15 - v. What is the units digit of i? 8 Suppose 6*o - 605 = o. What is the hundreds digit of o? 1 Let b be (-34)/(-3) + 4/6. Let v(c) = -c**2 + 12*c - 12. Let f be v(10). Let o = b - f. What is the units digit of o? 4 Let f be (0 - 0)/(-8 + 9). Suppose -3*k = -f*k - 93. What is the units digit of k? 1 Let v(n) = 12*n + 5. What is the tens digit of v(16)? 9 Suppose -3*x = x + 16, -2*f - 3*x + 14 = 0. Let o = f + 1. What is the tens digit of o? 1 Let z = -31 - -48. What is the units digit of z? 7 Let z be -5 - -3 - 1*-72. Let r = -15 + z. What is the units digit of r? 5 Let q(f) = f**3 - 6*f**2 + 12*f - 27. What is the units digit of q(7)? 6 Let i(p) = -4*p**3 - p**2 - 2*p - 1. Let q be i(-1). Suppose -q*d - 4*v + 40 = 0, -4*d + 5 = -d - 2*v. What is the units digit of d? 5 What is the tens digit of 4*47*5/10? 9 Let b(s) = 2*s**3 - s**2 - 4*s + 4. What is the units digit of b(2)? 8 Let n = 18 - 4. What is the units digit of (-2)/(-3)*63/n? 3 Suppose -7*k + 4*k = 2*v - 112, 3*k - 104 = -4*v. What is the tens digit of k? 4 Let t(c) = -4*c - 4. What is the units digit of t(-5)? 6 Suppose 3*v + 8 - 2 = 0. Let a = 8 - v. What is the units digit of a? 0 Let f(n) = n**3 - n**2 + 3*n - 3. Suppose 0*o - 8 = -4*o. What is the units digit of f(o)? 7 Suppose -823 = -4*l + 2*x + 55, -4*l - 4*x + 884 = 0. What is the tens d
{ "pile_set_name": "DM Mathematics" }
497. 7 What is the greatest common divisor of 12077 and 13? 13 Calculate the highest common divisor of 12 and 167176. 4 What is the greatest common factor of 752 and 976? 16 Calculate the highest common divisor of 1120 and 196280. 280 What is the greatest common factor of 10268 and 4012? 68 What is the highest common divisor of 2580814 and 346? 346 Calculate the highest common divisor of 40 and 41408. 8 What is the highest common factor of 13325 and 12935? 65 What is the greatest common divisor of 7 and 67508? 7 Calculate the greatest common factor of 3030 and 7023. 3 What is the greatest common factor of 80212 and 44? 44 Calculate the highest common factor of 9 and 73701. 9 Calculate the highest common factor of 61556 and 22. 22 What is the highest common divisor of 44 and 16924? 4 What is the greatest common factor of 744672 and 36? 12 What is the greatest common factor of 175628 and 65596? 2116 What is the highest common divisor of 6887 and 71? 71 What is the greatest common divisor of 412360 and 1830? 610 What is the greatest common divisor of 49020 and 120? 60 Calculate the highest common divisor of 265779 and 9. 9 What is the greatest common factor of 472395 and 42? 21 Calculate the highest common divisor of 3280 and 4880. 80 Calculate the highest common factor of 166037 and 1035. 23 Calculate the greatest common divisor of 28 and 566062. 14 Calculate the highest common divisor of 714 and 1187382. 714 What is the greatest common divisor of 201 and 195171? 201 What is the greatest common divisor of 273 and 40677? 273 What is the highest common factor of 30625 and 42140? 245 What is the highest common divisor of 14070 and 21306? 402 What is the highest common factor of 1375479 and 490? 49 What is the greatest common factor of 120667 and 67? 67 What is the greatest common divisor of 266 and 209? 19 What is the highest common factor of 4280 and 488990? 1070 What is the greatest common divisor of 16 and 1408424? 8 What is the highest common factor of 124625 and 16949? 997 Calculate the greatest common divisor of 2304 and 18624. 192 Calculate the highest common factor of 806 and 8618. 62 Calculate the highest common divisor of 1064 and 64638. 266 Calculate the greatest common factor of 828 and 2815614. 414 What is the greatest common divisor of 28 and 577262? 14 What is the highest common divisor of 13 and 2405? 13 What is the highest common factor of 275 and 6864? 11 Calculate the highest common factor of 252 and 27. 9 Calculate the highest common factor of 851208 and 696. 696 Calculate the highest common divisor of 14 and 367514. 14 Calculate the highest common divisor of 114932 and 15584. 1948 Calculate the greatest common divisor of 291080 and 205. 5 Calculate the greatest common factor of 5256160 and 105. 35 What is the highest common factor of 98 and 1437219? 49 Calculate the highest common divisor of 736 and 207092. 92 What is the highest common factor of 2350 and 365? 5 Calculate the highest common factor of 2916792 and 84. 12 What is the highest common factor of 22407 and 588? 21 What is the highest common divisor of 570 and 191995? 95 What is the highest common divisor of 10209 and 130227? 249 What is the highest common divisor of 206604 and 108? 108 What is the greatest common factor of 449416 and 88? 88 Calculate the greatest common divisor of 1254784 and 128. 128 Calculate the greatest common divisor of 54593 and 231. 77 Calculate the highest common factor of 59880 and 9160. 40 Calculate the greatest common divisor of 1 and 27783. 1 Calculate the greatest common divisor of 1703 and 26299. 13 What is the greatest common factor of 89225 and 430? 215 What is the highest common factor of 24273 and 41013? 837 What is the greatest common factor of 863830 and 50? 10 What is the highest common factor of 13024 and 22880? 352 What is the greatest common factor of 8350 and 370? 10 What is the greatest common divisor of 1760 and 55781? 11 What is the greatest common factor of 4635516 and 188? 188 Calculate the highest common factor of 87 and 10855077. 87 Calculate the greatest common factor of 1924274 and 2068. 1034 What is the greatest common factor of 243 and 5787? 9 What is the greatest common divisor of 852 and 7793670? 426 Calculate the greatest common divisor of 1467 and 376041. 489 What is the highest common factor of 234373 and 15765? 1051 What is the highest common divisor of 679 and 28? 7 Calculate the highest common divisor of 116 and 78416. 116 Calculate the highest common factor of 25 and 674525. 25 Calculate the highest common divisor of 51741 and 9. 9 What is the highest common divisor of 13031 and 166? 83 Calculate the highest common divisor of 3614 and 2002. 26 What is the greatest common divisor of 2635680 and 57? 57 Calculate the greatest common divisor of 272 and 1139. 17 Calculate the highest common divisor of 56056 and 19432. 56 What is the highest common factor of 1393997 and 11? 11 What is the highest common factor of 160 and 2960? 80 Calculate the greatest common factor of 420 and 235732. 28 Calculate the greatest common factor of 19722 and 4. 2 Calculate the greatest common divisor of 3096 and 11008. 344 Calculate the greatest common factor of 10990 and 34069. 1099 What is the highest common factor of 104 and 2678? 26 Calculate the highest common factor of 34340 and 612. 68 Calculate the highest common divisor of 7 and 28140. 7 Calculate the greatest common factor of 5341 and 2107. 49 What is the highest common factor of 59082 and 43? 43 Calculate the highest common factor of 4479426 and 73. 73 What is the highest common factor of 272 and 1372444? 68 Calculate the greatest common divisor of 398012 and 988. 76 What is the greatest common factor of 23966 and 230? 46 What is the highest common divisor of 2192 and 152618? 274 What is the highest common divisor of 84577 and 12228? 1019 What is the highest common divisor of 974314 and 220? 22 What is the greatest common divisor of 76285 and 5? 5 What is the highest common divisor of 110 and 37030? 10 What is the highest common divisor of 640 and 21040? 80 Calculate the greatest common divisor of 5858 and 606. 202 Calculate the greatest common factor of 24256 and 10176. 64 What is the greatest common factor of 253260 and 1005? 1005 What is the greatest common factor of 943921 and 1595? 319 What is the greatest common factor of 233211 and 1023? 33 What is the greatest common divisor of 648198 and 342? 18 What is the greatest common factor of 12 and 28812? 12 What is the highest common divisor of 11166 and 42? 6 What is the greatest common divisor of 192 and 834? 6 Calculate the greatest common factor of 62 and 91915. 31 Calculate the greatest common factor of 10 and 661765. 5 What is the greatest common divisor of 136 and 7786? 34 Calculate the highest common divisor of 21353 and 53464. 163 Calculate the highest common factor of 5877 and 1293. 3 Calculate the highest common factor of 21440184 and 24. 24 What is the greatest common divisor of 60744 and 7932? 12 Calculate the highest common factor of 368 and 8648. 184 What is the highest common factor of 16 and 84232? 8 Calculate the greatest common divisor of 2023068 and 752. 188 Calculate the highest common divisor of 149184 and 333. 333 Calculate the highest common factor of 28574 and 26. 26 What is the greatest common divisor of 702 and 123822? 54 What is the greatest common divisor of 20 and 10420? 20 What is the highest common divisor of 4981 and 2637? 293 Calculate the greatest common divisor of 651 and 28539. 21 What is the highest common divisor of 174 and 32178? 6 What is the highest common factor of 561580 and 20? 20 Calculate the greatest common divisor of 5720 and 7085. 65 What is the highest common divisor of 2348577 and 77? 77 What is the highest common factor of 204800 and 60? 20 Calculate the highest common factor of 65217 and 15. 3 Calculate the highest common factor of 38570 and 9338. 406 What is the greatest common divisor of 2379 and 12887043? 2379 Calculate the greatest common factor of 4762809 and 2382. 1191 Calculate the highest common divisor of 516 and 2676. 12 Calculate the greatest common divisor of 337 and 53. 1 Calculate the highest common factor of 19355 and 11760. 245 Calculate the highest
{ "pile_set_name": "DM Mathematics" }
- 7*s**4/2 + 2*s**3/3 + 705*s**2/2 - 1092. What is the third derivative of l(f) wrt f? 8880*f**3 - 84 Let m(y) = -66*y**3 + 40*y**2 + 364*y - 8. Let d(w) = -62*w**3 + 41*w**2 + 365*w - 9. Let r(l) = 3*d(l) - 4*m(l). Find the second derivative of r(t) wrt t. 468*t - 74 Suppose 0 = -3*c - 3*d + 4*d - 356, -5*c - 4*d - 599 = 0. Let z = 125 + c. Find the third derivative of -157*k**z - 35*k**2 + 69*k**6 + 43*k**6 wrt k. -5400*k**3 Find the first derivative of u - 5210 - u - 317*u**2 - 327*u**2 + 104*u**2 wrt u. -1080*u Let u = 1967 + -1961. Let x(a) be the first derivative of -u*a**2 + 8 + 0*a + 0*a**4 + 0*a**3 - 3/5*a**5. What is the second derivative of x(q) wrt q? -36*q**2 Suppose 5*r + 358 - 98 = 0. Let l = r - -54. What is the second derivative of 10*b + 16*b - 7*b - l*b + 3*b**2 wrt b? 6 Find the third derivative of 1992*h**3 + 567*h**3 + 229*h**2 + 2002*h**2 + 2149*h**3 wrt h. 28248 Let f(b) be the third derivative of 1/210*b**7 + 0*b**3 + 0*b**5 + 1/20*b**6 - 29/12*b**4 + 0 + 56*b**2 + 0*b. Find the second derivative of f(p) wrt p. 12*p**2 + 36*p Let h(m) be the first derivative of -1403*m**6/3 + m**5/5 - 4120*m**3/3 - m**2 + 7719. What is the third derivative of h(z) wrt z? -168360*z**2 + 24*z What is the third derivative of 117*h**2 + 97*h**2 - 174*h**2 - 2*h**4 - 17*h**3 wrt h? -48*h - 102 Let r(z) = 2*z**3 - 208*z**2 + 405*z + 84. Let a(l) = -2*l**3 + 208*l**2 - 404*l - 70. Let d(c) = 6*a(c) + 5*r(c). What is the second derivative of d(j) wrt j? -12*j + 416 Let b(g) be the second derivative of -1975*g**7/42 - 19*g**4/6 - g**3/2 + 2*g + 606. What is the third derivative of b(s) wrt s? -118500*s**2 Suppose -r + 17 = -5*x, -2*x - 11 = -3*r + 1. Suppose d - 4 = -4*u + 14, 0 = d - u + r. Differentiate -6*f**4 - 1 + d*f - 14 - 2*f wrt f. -24*f**3 Find the third derivative of 78*d**3 - d + 0*d + 173*d**3 - 1405*d**2 + d wrt d. 1506 Let j be 80/24 - (-105)/9 - 9. Let m(i) be the first derivative of j + 13/3*i**3 + 0*i + 1/2*i**2. Find the second derivative of m(p) wrt p. 26 Suppose 2*m - 12 - 152 = 0. Let a = m - 76. Find the third derivative of 12*v**a - 2*v**2 - 4*v**6 - 18*v**4 + 18*v**4 wrt v. 960*v**3 Let d be (0 + 34)*(-26 + 28). Find the first derivative of 7*q**2 - d - q**2 + 12*q**2 - 31 wrt q. 36*q Suppose -4*i - 31 = -3. Let s be ((-1 - i) + -4)*6. Find the second derivative of s*m**4 + 34*m - 12*m + 5*m wrt m. 144*m**2 Let j(q) = -1. Let t(w) = w - 1 + 3 - 5. Let z be t(4). Let n(g) = 8*g**4 - 4*g + 6. Let l(k) = z*n(k) + 6*j(k). What is the second derivative of l(f) wrt f? 96*f**2 Let b(k) be the third derivative of -128*k**6/15 + 206*k**5/15 + 814*k**2. Find the third derivative of b(d) wrt d. -6144 Find the third derivative of 213*h + 195*h + h**4 - 1164*h**3 + 250*h - 2*h**2 wrt h. 24*h - 6984 Let p(g) be the second derivative of 14*g**3 + 0*g**4 + 87/20*g**5 + 4*g + 0*g**2 - 4. Find the second derivative of p(k) wrt k. 522*k Find the second derivative of -118*w**2 - 39 + 47 + 3*w - 2*w + 177 + 60 + 2*w**4 wrt w. 24*w**2 - 236 Suppose 2*u = 2*z - u - 72, -z = 2*u - 22. Let x = z + -26. Find the third derivative of 201*m**x - 15*m**2 + 5*m**5 - 201*m**4 wrt m. 300*m**2 What is the derivative of 833 + 3*w**2 + 30*w**3 + 2*w - 4*w + 390 + 146 wrt w? 90*w**2 + 6*w - 2 Let a(i) = i**3 + 10*i**2 + 13*i - 8. Let c be a(-9). Let p = 79 + c. Find the second derivative of 14*b**2 + p - 35 - 34*b wrt b. 28 Let q(a) = 10*a**4 - 2*a**2 - a + 1. Let r(i) = 126*i**4 + 1850*i**2 - 2*i + 2. Let l(j) = 2*q(j) - r(j). What is the third derivative of l(g) wrt g? -2544*g Suppose 8*h - 148394 = 6*h. Differentiate -76 + 9*m**2 + 74197*m**3 - h*m**3 + 2*m**4 with respect to m. 8*m**3 + 18*m Find the first derivative of -6735 - 107362477*z**3 + 107362477*z**3 - 251*z**4 wrt z. -1004*z**3 Let b(x) = 6126*x**5 - 4666*x**2 - 3*x. Let l(y) = -6125*y**5 + 4666*y**2 + 2*y. Let m(f) = -2*b(f) - 3*l(f). Find the third derivative of m(q) wrt q. 367380*q**2 Let f(b) be the second derivative of -421*b**8/28 - 1129*b**4/12 + 88*b. Find the third derivative of f(q) wrt q. -101040*q**3 Let s(y) be the third derivative of 0*y**6 + 99*y**2 + 0 + 0*y - 22/105*y**7 + 1/6*y**4 - 4/15*y**5 + 0*y**3. What is the third derivative of s(n) wrt n? -1056*n Let o = 8086 + -8052. Let v(j) be the second derivative of 39/20*j**5 + 0*j**2 + o*j + 0 + 3/2*j**4 + 0*j**3. Find the third derivative of v(t) wrt t. 234 Let d(g) be the second derivative of 15*g**8/2 - g**4/6 - 116*g**2 + 21*g + 6. What is the third derivative of d(o) wrt o? 50400*o**3 What is the second derivative of -171*d + 210597*d**4 + 2*d**3 - d**3 + 1 - 210423*d**4 wrt d? 2088*d**2 + 6*d Let v(h) be the third derivative of -31*h**8/168 + h**7/105 + h**4/24 - 779*h**3/6 - 72*h**2 - 1. What is the second derivative of v(k) wrt k? -1240*k**3 + 24*k**2 Suppose 2*n = -5*m + 21, -m = 5*n - 13 - 5. What is the third derivative of 0*j**n + 519*j**4 - 3*j**3 + 0*j**3 - 77*j**2 - 516*j**4 wrt j? 72*j - 18 Let o = -99 - -106. Let j(s) = 70*s + 81. Let q(b) = 212*b + 244. Let r(u) = o*j(u) - 2*q(u). What is the first derivative of r(w) wrt w? 66 Let v = 113 - 95. What is the second derivative of -v*s**4 - s + 2 + 55*s**4 - 4*s**4 wrt s? 396*s**2 Let q(r) = 59*r**2 + r + 37. Let j(t) = -2. Let a(i) = i + 11. Let y(m) = a(m) + 6*j(m). Let s(g) = q(g) - 2*y(g). What is the derivative of s(b) wrt b? 118*b - 1 Find the third derivative of 5 + d**2 - 583*d**3 - 267*d**3 - 510*d**3 + 148*d**3 wrt d. -7272 Let h(w) be the third derivative of -4*w**2 - 10*w + 0 - 37/24*w**4 - 55/6*w**3. Differentiate h(v) wrt v. -37 Let v(j) = 13*j - 62. Let t be v(6). Differentiate -9 + 29*u**2 + 16 + u + 8 - 2*u + t wrt u. 58*u - 1 Suppose -p + 4*w - 55 = 0, -p + 138 = -3*p + w. Let y = p - -74. What is the third derivative of 0*n**3 - 9*n**3 + y*n**2 + 15*n**2 wrt n? -54 Differentiate 21493*f - 21491*f - 345 - 452*f**4 - 883*f**4 with respect to f. -5340*f**3 + 2 Let q be (-4)/10 + (-666)/10 - 1. Let m = q - -70. What is the second derivative of 7*j**2 + 7*j + 4*j**m + 3*j**2 + 0*j**2 wrt j? 28 What is the third derivative of -102*c**4 - 11*c**4 - c**3 + 3 + 752*c - 263*c**2 - 754*c - 3 wrt c? -2712*c - 6 Let w(b) be the first derivative of 196*b**6/3 - 7*b**2 + 15*b + 1528. What is the second derivative of w(q) wrt q? 7840*q**3 Let i(x) be the second derivative of 2108*x**4/3 + 9565*x**3/6 + 2*x + 35. What is the second derivative of i(v) wrt v? 16864 Let p(f) be the second derivative of -3*f**5/10 - 211*f**3/6 - 21*f**2/2 - 1871*f. What is the first derivative of p(u) wrt u? -18*u**2 - 211 Find the second derivative of 3 + 7427*v**3 - 346483*v**2 - 3 - 1324*v + 346483*v**2 wrt v. 44562*v Let a(y) = y + 10. Let k be a(-9). Let d be k + 5*(-1)/(-1). Find the second derivative of -3*w**2 + 5*w**2 - d*w - 2*w**2 + w**2 wrt w. 2 Let d(b) = -12*b + 2. Let k be d(-1). Suppose 2*h = -5*h + k. What is the first derivative of -3 + 0*f**h - 17*f**2 + 1 + 5 wrt f? -34*f Suppose 3*z = 7*z + 2*k - 18, -27 = -5*z - 4*k. What is the first derivative of 308*t**3 - 150*t**z - 5 - 8*t - 5 - 152*t**3 wrt t? 18*t**2 - 8 What is the third derivative of -2754*l**5 - 1460*l**2 - 93*l**2 - 1474*l**2 wrt l? -165240*l**2 Let s(v) be the third derivative of -4*v**2 + 0 + 13/24*v**4 - 1/6*v**3 - v + 17/12*v**5. Find the second derivative of s(g) wrt g. 170 Let k(v) be the first derivative of -141/2*v**2 + 147*v - 170. What is the first derivative of k(l) wrt l? -141 Find the second derivative of 103 + 5*t**3 - 4314*t**4 + 3570*t**4 - 5*t**3 + 3*t wrt t. -8928*t**2 Suppose 8*y + 53 = 93. Find the second derivative of -58*t**4 - 5*t**5 + 58*t**4 + 13*t**3 + 3*t**y - 23 - 2*t + 0*t wrt t. -40*t**3 + 78*t Suppose 230 = 24*v - 14*v. What is the second derivative of 277*l + v - 561*l + 283*l + 104*l**2 wrt l? 208 Differentiate 38*w**3 - 110*w**3 - 113*w - 11150 + 77*w wrt w. -216*w**2 - 36 Let h(z) = 2676*z - 5507. Let r(l) = -5349*l + 11014. Let q(c) = -11*h(c) - 6*r(c). What is the first derivative of q(f) wrt f? 2658 Let v = -7 + 51. Let f = -42 + v. What is the third derivative of 41*u**2 - 10*u**6 - 5*u**6 - 19*u**f wrt u? -1800*u**3 Let b(m) = 1536*m**3 + 8*m + 1405. Let i(d) = -7684*d**3 - 38*d - 7025. Let j(s) = -19*b(s) - 4*i(s). Find the first derivative of j(h) wrt h.
{ "pile_set_name": "DM Mathematics" }
3, 3 Put -4, -267, 105/8 in decreasing order. 105/8, -4, -267 Put -3, 5, -233, -1, 2, -2 in descending order. 5, 2, -1, -2, -3, -233 Sort -1, -14, -1.1, 3/7, -8. -14, -8, -1.1, -1, 3/7 Put 5/2, 2, 25.5, 8/31 in descending order. 25.5, 5/2, 2, 8/31 Put -1/11, 13/393, -0.03 in decreasing order. 13/393, -0.03, -1/11 Sort -2511, 0, 30 in descending order. 30, 0, -2511 Sort -3, 1, 21, -4717 in descending order. 21, 1, -3, -4717 Sort -0.2, -0.111, 37, -3, 1/7 in descending order. 37, 1/7, -0.111, -0.2, -3 Put -0.1, 5039, -2/13, 0, -3/5 in decreasing order. 5039, 0, -0.1, -2/13, -3/5 Sort -0.01143, 0.2, 5, -5, -1/4 in descending order. 5, 0.2, -0.01143, -1/4, -5 Put -1, -37, -5, 48, 3, 0 in decreasing order. 48, 3, 0, -1, -5, -37 Sort -3, 4, -5, -2, 272, 120. -5, -3, -2, 4, 120, 272 Sort 66, 4, -3, 0, 10, -5 in descending order. 66, 10, 4, 0, -3, -5 Sort 3, 2, -5509 in descending order. 3, 2, -5509 Put -2, -0.3, 169.3 in increasing order. -2, -0.3, 169.3 Sort -268, -2, -5, -8, 0 in descending order. 0, -2, -5, -8, -268 Sort -230, -1053, -3 in ascending order. -1053, -230, -3 Put 2, 530/37, -2/11 in increasing order. -2/11, 2, 530/37 Sort 1, 370, 16, -3, -1 in increasing order. -3, -1, 1, 16, 370 Sort 13, -0.4, -0.05, 1/17, -1 in ascending order. -1, -0.4, -0.05, 1/17, 13 Sort 0.2, 98/125, -0.3, -1/4. -0.3, -1/4, 0.2, 98/125 Put 3, -4, 241, -587 in ascending order. -587, -4, 3, 241 Sort -2/701, 0.5, 16/15 in decreasing order. 16/15, 0.5, -2/701 Sort 285, 250, 11 in ascending order. 11, 250, 285 Sort -3, -2, -0.91018, -8 in ascending order. -8, -3, -2, -0.91018 Sort -3, 2, 102, 5, -4 in descending order. 102, 5, 2, -3, -4 Sort 4, -1, 176, -78, -4. -78, -4, -1, 4, 176 Put 2, -1/4, 1466 in descending order. 1466, 2, -1/4 Sort 0.058, 124, 2/7, -2 in descending order. 124, 2/7, 0.058, -2 Sort -5, -307/4, 0.05 in descending order. 0.05, -5, -307/4 Put 3, 4, -1, 20, -97, 1 in descending order. 20, 4, 3, 1, -1, -97 Sort -0.8, 2/7, 7, 0.0283, 0.1 in decreasing order. 7, 2/7, 0.1, 0.0283, -0.8 Sort 187, -17, -3/5, 0.1, 0, -2/25. -17, -3/5, -2/25, 0, 0.1, 187 Sort -154, 229, 1 in decreasing order. 229, 1, -154 Put -5, -2451, 4, 2, -4 in decreasing order. 4, 2, -4, -5, -2451 Sort 3, 5, 12, -86, -1 in descending order. 12, 5, 3, -1, -86 Put 0.03, 9, 1, 0.01, 221 in decreasing order. 221, 9, 1, 0.03, 0.01 Put -2, 25, -0.261, -18, -5 in descending order. 25, -0.261, -2, -5, -18 Put -4, -20, -23.225 in decreasing order. -4, -20, -23.225 Put 3, 5, 2204 in descending order. 2204, 5, 3 Sort 16, -21, 3, 2, 1, 0. -21, 0, 1, 2, 3, 16 Sort 26, 14, -7, 5, 2, -4 in descending order. 26, 14, 5, 2, -4, -7 Sort 2, 11, -2 in decreasing order. 11, 2, -2 Put 84/23, 0.2, -0.005, 0.5 in decreasing order. 84/23, 0.5, 0.2, -0.005 Sort -10, 28, -4, -1, 32, 2 in descending order. 32, 28, 2, -1, -4, -10 Sort 0, 3, 12, -12, 56 in decreasing order. 56, 12, 3, 0, -12 Sort -78, 1, 2/345 in descending order. 1, 2/345, -78 Put -145, -5, 16, 3 in decreasing order. 16, 3, -5, -145 Put -62, 1/4, 1/2, -19, -3/4, -4 in descending order. 1/2, 1/4, -3/4, -4, -19, -62 Sort 4, 29, 5571, 1. 1, 4, 29, 5571 Put -5, -127, 337 in decreasing order. 337, -5, -127 Put 3/4, -8, 1789, 4, -0.2 in increasing order. -8, -0.2, 3/4, 4, 1789 Sort 5, -112, 178 in increasing order. -112, 5, 178 Sort -40, -7, -2, 3, -6. -40, -7, -6, -2, 3 Put 2/7, 0.12, -17, 76/5 in descending order. 76/5, 2/7, 0.12, -17 Sort -0.1, 0.5, 19130. -0.1, 0.5, 19130 Put -1, -403, 83, -4 in ascending order. -403, -4, -1, 83 Sort -3, 1.1946, 2 in descending order. 2, 1.1946, -3 Sort 3447, 1, 50. 1, 50, 3447 Put 1, 3, -4, 1121 in ascending order. -4, 1, 3, 1121 Sort 2, 1, 4, -52, -19. -52, -19, 1, 2, 4 Put -5, -4, 22, 3, 13 in increasing order. -5, -4, 3, 13, 22 Put -1, 0.222, 0.2 in increasing order. -1, 0.2, 0.222 Put 3, 7092, -27 in descending order. 7092, 3, -27 Sort 1/8, -3, -2/4165 in decreasing order. 1/8, -2/4165, -3 Sort -3, 1, -4, 45, 5 in increasing order. -4, -3, 1, 5, 45 Sort -0.108536, 1/4, -1/3 in descending order. 1/4, -0.108536, -1/3 Sort -4, -5, -266017. -266017, -5, -4 Sort -109, 7, -1, -4, -6 in decreasing order. 7, -1, -4, -6, -109 Put 2, 3, 7, 0, 4, -2 in ascending order. -2, 0, 2, 3, 4, 7 Sort -6, -0.094, 241. -6, -0.094, 241 Sort -50, 0, 271, -1, -5 in decreasing order. 271, 0, -1, -5, -50 Sort -3, 0.4, 0.1, -3/17, -71, 1/4. -71, -3, -3/17, 0.1, 1/4, 0.4 Put 113, 1, 5, -1, -25, -2 in ascending order. -25, -2, -1, 1, 5, 113 Sort 1, 0.0991, -20 in ascending order. -20, 0.0991, 1 Sort 0, 5, -30358. -30358, 0, 5 Sort -2/32053, 4, 0.8. -2/32053, 0.8, 4 Put 0.2, -2/9, 204 in increasing order. -2/9, 0.2, 204 Sort -1, -1/2, -1/133, 2/19, 0, -3 in increasing order. -3, -1, -1/2, -1/133, 0, 2/19 Sort 44, 36, 0.3, 0.05 in descending order. 44, 36, 0.3, 0.05 Sort -1.36, 2/1161, 4. -1.36, 2/1161, 4 Put -16, -0.4, 1/12, -2, 0, 45/4 in increasing order. -16, -2, -0.4, 0, 1/12, 45/4 Put -1, -875, 27 in increasing order. -875, -1, 27 Sort -5, -4, 6203 in increasing order. -5, -4, 6203 Put 691, -5, 1, -3 in descending order. 691, 1, -3, -5 Sort -171, 24, 11, -5, -2 in decreasing order. 24, 11, -2, -5, -171 Sort 1, 1893, -5, -9 in increasing order. -9, -5, 1, 1893 Put 3933, -3, 4 in increasing order. -3, 4, 3933 Sort 180, -129, 2, 5. -129, 2, 5, 180 Put 120, 0, -325, 3 in ascending order. -325, 0, 3, 120 Put -0.99, -12, 2/5 in decreasing order. 2/5, -0.99, -12 Sort 10, 0, -4, -5, 2, 55 in ascending order. -5, -4, 0, 2, 10, 55 Sort 2, -1, 65, -6 in decreasing order. 65, 2, -1, -6 Sort -42, -5.25, 6/7 in descending order. 6/7, -5.25, -42 Sort 2, -34, 80, -5, -4, 3 in decreasing order. 80, 3, 2, -4, -5, -34 Sort -13389, 2, 4, -2, -5 in descending order. 4, 2, -2, -5, -13389 Sort 7, 448, -10, 4 in decreasing order. 448, 7, 4, -10 Put -4, -5, 1, -11, 61 in descending order. 61, 1, -4, -5, -11 Put -5, 0, 2, -4, 12, -318 in decreasing order. 12, 2, 0, -4, -5, -318 Put -2/11, -3, -154/9, -2, -8, 3/2 in ascending order. -154/9, -8, -3, -2, -2/11, 3/2 Sort -15, 0, 0.1, -11.3, -0.05 in decreasing order. 0.1, 0, -0.05, -11.3, -15 Sort 7180.3, 0.01, 0.4. 0.01, 0.4, 7180.3 Put 0.017, -4.4, -4 in decreasing order. 0.017, -4, -4.4 Put -9/76, -3/5, -5 in ascending order. -5, -3/5, -9/76 Put 1/3, -80, 1/196 in descending order. 1/3, 1/196, -80 Put 0.2, -0.69, -6 in ascending order. -6, -0.69, 0.2 Sort -9, -51, -245, 2. -245, -51, -9, 2 Put -5, 0.1, -10, 12/13, -0.1, 13 in decreasing order. 13, 12/13, 0.1, -0.1, -5, -10 Put 2, 78, 0, 65 in ascending order. 0, 2, 65, 78 Put 0.3, 2/3, 1/16, -0.3, 4, -5/2 in decreasing order. 4, 2/3, 0.3, 1/16, -0.3, -5/2 Sort 5, -0.039, 2/3, -0.06 in increasing order. -0.06, -0.039, 2/3, 5 Put -2, 0.382, 155 in descending order. 155, 0.382, -2 Sort 1, -3, 374, 33 in increasing order. -3, 1, 33, 374 Put -1, 3, -0.2, -9/3262 in decreasing order. 3, -9/3262, -0.2, -1 Sort 50, -4, 4, 5, 24 in ascending order. -4, 4, 5, 24, 50 Put -16, 4, -9, -17 in decreasing order. 4, -9, -16, -17 Put -7, 3821, 4, -3 in decreasing order. 3821, 4, -3, -7 Sort -25, -1/6, 1, 14. -25, -1/6, 1, 14 Sort -3, 0, 0.1, -923 in descending order. 0.1, 0, -3, -923 Sort 0.81, -1/4, 0.12, -2/3, -1, -5. -5, -1, -2/3, -1/4, 0.12, 0.81 Sort -5, -7, -196, -8 in increasing order. -196, -8, -7, -5 Put 62, -1/5, 0.08 in decreasing order. 62, 0.08, -1/5 Sort -1/5, 24, -4.8 in ascending order. -4.8, -1/5, 24 Put 3, -3, 0.5, 24, -39 in increasing order. -39, -3, 0.5, 3, 24 Sort -7, 12, -182, 2. -182, -7, 2, 12 Sort 1106, 5, 3, 8, 1. 1, 3, 5, 8, 1106 Sort -24, 4, -66, 2 in ascending order. -66, -24, 2, 4 Put -3103, 4/9, -0.1, 4, 1/5 in decreasing order. 4, 4/9, 1/5, -0.1, -3103 Put 4, -1, 12, -5, -47 in ascending order. -47, -5, -1, 4, 12 Sort -5, -389, -1, 6, -8 in increasing order. -389, -8, -5, -1, 6 Put 0, 2, 0.051, 3/5 in descending order. 2, 3/5, 0.051, 0 Put -1/4, -0.1, 1.18, 1.65 in decreasing order. 1.65, 1.18, -0.1, -1/4 Sort -3, 5, 47382 in decreasing order. 47382, 5, -3 Sort -3.32, -0.14, 1.5 in decreasing order. 1.5, -0.14, -3.32 Put 903, 5/3, -6/5 in decreasing order. 903, 5/3, -6/5 Sort 17, -5, 3, -612, 1. -612, -5, 1, 3, 17 Sort 3, -6, -55, -3, -4 in decreasing order. 3, -3, -4, -6, -55 Sort 0.23, 11/13, -0.24 in increasing order. -0.24, 0.23, 11/13 Sort
{ "pile_set_name": "DM Mathematics" }
(9 - 2))*56/70. 4 Calculate ((-12)/(-10))/(26/(-65)). -3 (3/6)/(52/78) 3/4 -178 + 163 + (-74)/(-5) -1/5 What is the value of (-9 + 6)*(-1)/(-5)? -3/5 Evaluate ((-448)/(-40))/(-14)*10/(-28). 2/7 Calculate (-4)/(260/185) + 3. 2/13 (0/52)/(-2 - -1) 0 Calculate (-3)/(-9) + (-6)/9. -1/3 Calculate (0 + -1)/(2/(-6)*-1). -3 What is (-6)/90*-5*(14 - -1)? 5 (30/(-4))/(288/(-192)) 5 Calculate (-2)/(-4)*((9 - 17) + -2). -5 What is the value of (-1)/9 - 13*(-22)/10296? -1/12 Evaluate (-1035)/315 + (1 - 5/7). -3 What is the value of 1/(-4)*(2 + 0/3)? -1/2 What is 30/16*(-22)/55? -3/4 Evaluate (-12)/(-8)*(-2)/6. -1/2 Evaluate ((-216)/(-34) + -6)/(-3). -2/17 Evaluate 295/(-59) + 0*1/(-2). -5 What is the value of 2/1*(-3)/15? -2/5 7 - 2*(1 - (3 - 3)) 5 Evaluate (-34)/(-8) + 2 + 8/(-32). 6 Calculate 3*(-6)/27 - (-1)/1. 1/3 What is the value of (-28)/(-8)*(-188)/329? -2 ((-332)/(-266) + 2/(-19))/(-2) -4/7 Calculate ((-15)/(-9))/((140/72)/7). 6 What is (-24*6/27 + 5)*1? -1/3 Calculate 4 - -3 - (-6 - 210/(-16)). -1/8 Evaluate (36/10 + -4)/((-84)/350). 5/3 Calculate (-3)/(-4) - 7/224*8. 1/2 What is 8 - 0/(-9 + -1)? 8 What is 4 + 8 + (-310)/25? -2/5 What is the value of (-3)/18 + (-37)/(-6) + -6? 0 Calculate 4/14 + (-46)/14. -3 Evaluate 42/(-315) - 73/15. -5 What is the value of (4/2 - 2)/(2 - 1)? 0 What is the value of -1 - 3 - 29/(-7)? 1/7 What is the value of (-20)/(-12)*(-3)/(-1)? 5 Evaluate ((-32)/40)/(3/(-5)). 4/3 What is the value of (-45)/20*68/(-51)? 3 Calculate (5 + 39/(-9))/((-4)/18). -3 What is (5 + -2 - -1) + -1? 3 Evaluate (224/(-128))/((-1)/(-4)). -7 Calculate (-2)/2*32/(-16). 2 Calculate ((-2)/7)/(18/(-63)). 1 What is 24/16*6/9? 1 2/9 + 204/(-459) -2/9 Evaluate (2 + (-5 - -3))/2. 0 Calculate -2*(-210)/80 + -6. -3/4 What is (-10)/56 + (175/(-49) - -4)? 1/4 What is the value of 4 - (2 - 27/9)? 5 Calculate (12/16)/((-3)/24*-3). 2 What is 24/42 + 38/(-42)? -1/3 Evaluate (51/(-153))/((-4)/(-9)). -3/4 What is the value of 2 - (688/2451 + 5/3)? 1/19 (-44)/14 + ((-15)/(-35))/3 -3 Calculate (-2 - 0) + 2 - 266/665. -2/5 What is the value of (3/(3/2))/(-2)? -1 (6 + -5)*(-5 + 5) 0 (2 - (4 - -3)) + 26/5 1/5 Evaluate (-84)/35*-3*15/(-18). -6 Evaluate (-12)/(-18)*3/8. 1/4 What is 9*3/9 - (3 + 1)? -1 What is 0/(6/2) - 140/35? -4 Calculate (9 - 19/2) + (-42)/4. -11 ((-2)/6)/(32/48) -1/2 What is (-32)/280*(-77)/22? 2/5 (-1222)/564 + 5/(-6) -3 (55/(-297))/((-10)/12) 2/9 What is the value of 3 - (-10 + (-14)/(-2))? 6 What is (2/(-24))/((-40)/(-600))? -5/4 What is the value of (-4)/6 - 5/(-3)? 1 What is the value of 3/4 - ((-2)/1)/(-2)? -1/4 What is (((-72)/21)/((-4)/14))/3? 4 Calculate 3 - 1 - (-3 - -10). -5 Evaluate (0 - -6)*2/(-18). -2/3 What is the value of 14/(-4) - (-8 + 5)? -1/2 Evaluate (14/70)/(182/60 - 3). 6 What is the value of (-139 + 138)/((-7)/8 - -1)? -8 Calculate 75/(-20)*(-4)/(-6). -5/2 What is (1/(-4))/(9 - (-1305)/(-144))? 4 What is the value of ((-4)/10)/(((-126)/(-40))/(-63))? 8 Evaluate 28/10 + ((-40)/(-5) - 11). -1/5 18/(-63) - 9/42*1 -1/2 Calculate -3*(-2)/36 + 11/6. 2 What is (2 + 0)*(85/2)/17? 5 Calculate 6/4*(-20)/6. -5 (0 + 1 + 6 + 2)*1 9 What is ((-4)/12*0)/(-2)? 0 Calculate (-9)/24 - 67/536. -1/2 What is the value of (-5)/((-5)/4) - 1? 3 Evaluate (0 - (-3)/6)/(-28 - -27). -1/2 (-20)/39 - (-166)/(-1079) -2/3 Evaluate 33/(-231)*0/(-1). 0 What is the value of 5 + 4/(48/(-52))? 2/3 What is (6/(-18))/(3/(-9))? 1 Evaluate -1*(48/22 + (-20)/10). -2/11 Calculate (-111)/(-333)*6/(-13). -2/13 ((-2)/(-3))/(49/(-42) - -2) 4/5 What is the value of 2*((-91)/84)/13? -1/6 What is (-2 + -1 - -1) + (-13 - -12)? -3 Evaluate 12/30 + -1*14/60. 1/6 3 + 663/(-198) - 12/(-66) -1/6 What is the value of ((-16)/(-6))/(2/(-3))? -4 Evaluate (-8 - (-1221)/154)*8. -4/7 Calculate ((-1)/4)/((-114)/48 - -3). -2/5 What is (-3)/(-4) + 567/(-504)? -3/8 Calculate 5 - (-25)/(-5) - -3. 3 Calculate 75*(-2)/189 + 2/9. -4/7 Calculate (-14)/(-42) + (-1)/12. 1/4 What is (8/(-6))/(418/627)? -2 Calculate (-15)/(-75) + 248/(-840). -2/21 What is 2/(-10) + (-768)/(-5440)? -1/17 Evaluate (-322)/56 + (5 - -1). 1/4 Calculate (35/175)/(3/(-5)). -1/3 (-7 + 0)*(-4)/(-14)*3 -6 (-253)/644 + (-1)/(-4) -1/7 ((-1)/8 + 104/(-192))*-3 2 What is (1*3/(-15))/(51/85)? -1/3 48/(-15) - (-29)/145 -3 What is the value of 6 + (-308)/60 + -1? -2/15 What is the value of (-3)/9 - 10/42? -4/7 What is the value of (-87)/203 + (-2)/(-21)? -1/3 Calculate -3*(-174)/378 + 12/(-9). 1/21 Calculate (-15)/18*-3*3/(-9). -5/6 55/45 - 4/18 1 What is ((-6)/(-5))/((-1)/((-50)/(-15)))? -4 Calculate (4/21 - 0)*(-6)/(-4). 2/7 What is (-1 - 6/(-3)) + 1*-3? -2 Calculate (13 + -9)/(-8)*-2. 1 What is the value of (-16)/24 - 26/6? -5 Evaluate (17/(-34))/(14/12). -3/7 What is -27 + 31 + (-5)/4 - 3? -1/4 (1/(-7))/((-68)/119) 1/4 What is the value of (-44)/40 + ((-6)/5)/3? -3/2 (6/15)/(13/(-195)) -6 Calculate (36/44)/(6/(-4)). -6/11 (152/16 - 5)/(-2 - 10) -3/8 (-1)/(-7)*(10 + -70) - -8 -4/7 What is 1/6 + 2/(-12)? 0 What is 3 - 15/(-6 + 9)? -2 What is the value of (1 - -6)*(6 + (2 - 7))? 7 What is 50/(-20)*8/70? -2/7 What is the value of 2*-1*2/(-2 + 0)? 2 What is the value of (-2)/(-6)*23/((-161)/126)? -6 What is the value of (-30)/18*3 + 13? 8 Calculate (6/33)/((-18)/(-396)). 4 ((-128)/448)/(6/7 - 1) 2 Calculate -2*4/(-70)*-7. -4/5 What is the value of (-102)/(-14) - (-175)/(-25)? 2/7 22/4 - (-45)/(-18) 3 What is the value of (-14)/(-49)*(-3)/(-6)? 1/7 Calculate (1/1)/(6 + -5). 1 -2 + (24/54 - 28/63) -2 Evaluate -1 + (-4 - 100/(-12)) + -2. 4/3 What is the value of 6/(-4)*((-28)/(-24) - 1)? -1/4 Calculate ((-18)/(-21))/(7 - (-141)/(-21)). 3 (-3)/(-2)*(-3 - (-285)/99) -2/11 Evaluate 9/54*-85 - -14. -1/6 Evaluate 1/(-6) + (3 - 24/9). 1/6 (-18)/(-14) + (-92)/322 1 What is (-8)/42*(42/12 - 5)? 2/7 Calculate 3/((6 - 3/(-2)) + -7). 6 ((-27)/(-9) + -4)*(0 - -3) -3 Evaluate (4 - 1)*8/12 - -3. 5 Evaluate (-128)/252 + 20/70. -2/9 What is the value of (-58)/(-203) + 6/28? 1/2 (-42 + 41)/(21/9 + 0) -3/7 Evaluate (-1)/(-7) + 318/371 - 5. -4 What is (1 - 2)*(-10 - (-273)/27)? -1/9 3 - ((-4)/12 + 5/(-3)) 5 Evaluate (-4)/(-9) - 623/801. -1/3 What is (1/3)/(16/(-64))? -4/3 Evaluate 1/(((-513)/6)/9). -2/19 Evaluate -2*14/4 + (-3 - -6). -4 What is 7*2/12*(-4)/(-7)? 2/3 What is the value of (-2)/(-2)*(-12)/(-72)? 1/6 6/4 - 7/(14/(-3)) 3 What is ((-9)/6)/((-2)/(-4))? -3 (2 - (-32)/5) + 454/(-1135) 8 What is 30/(-9) + 175/(-105)? -5 Evaluate 68/(-18) - (2 - 64/36). -4 Calculate 260/180 - (-2)/9. 5/3 Calculate (-2)/4*(0 - -12). -6 6 - 3/6*(-222)/(-18) -1/6 What is the value of 5/10*2 - 4/(-2)? 3 (8 - 8)*1/2 0 Calculate (2*2/(-5))/((-46)/115). 2 What is 2/(-3) - 7/(-6)*4? 4 Calculate (12/28)/(6/4). 2/7 What is (-16 - -13)/(1 + -2)? 3 Evaluate (8 + -10)/(2/(-2)). 2 What is the value of 1/9*4*(-12)/40? -2/15 (8/6 + -1)/((-5)/(-15)) 1 Evaluate ((-12)/9)/((-1020)/(-90)). -2/17 What is the value of (-49)/(-196) + 2/(-4)? -1/4 4/7 + 7*(-24)/294 0 Evaluate 116/20 - (-2 + 14/2). 4/5 Calculate (16/(2 - 6))/(-2 + 4). -2 What is (-604)/151 - (-1 + (-14)/4)? 1/2 What is the value of (4/(-14))/(80/112)? -2/5 Calculate 2/(-8 + 4 - -2). -1 What is ((-238)/(-1309))/(1/(-11))? -2 What is the value of (-86)/(-10) + (6 - 588/105)? 9 What is (3 + 18/(-5))/((-3)/(-2))? -2/5 Calculate 171/114 - (-1)/(-4). 5/4 Calculate 6 + (-16 - -6) + 6. 2 What is 194/(-18) - (25 + -36)? 2/9 Calculate -1 - 105/(-12) - 7. 3/4 What is -3 + ((-51)/(-7) - 4)? 2/7 Calculate (-1)/5 + 54/720. -1/8 Calculate 14 + (1/(4/(-24)) - 0). 8 Calculate -2 - 32/(-12) - 14/(-6). 3 What is (-3*(-4)/(-12) - 4)*-1? 5 12 + 158/(-14) - (-2)/7 1 Evaluate ((-9)/(-18))/(3/(-2)). -1/3 What is the value of (-10)/15*6/(-2)*-2? -4 What is the value of (3/(-6))/1*(-4 - 2)? 3 8 + ((-5)/2 - 5) 1/2 (-2)/(-8)*16*5/(-30) -2/3 Evaluate (-1)/(1*(-5)/(-10)). -2 Evaluate (0 + 0)/(-3*5/15). 0 What is the value of 11/6 + (-73)/219? 3/2 What is (6/5)/(44/(-110))? -3 What is (-222)/370 - (-44)/(-10)? -5 What is (-2775)/(-1332) - (0 + 2)? 1/12 Calculate 4/(-8)*3 + 49/(-14). -5 Calculate 96/(-32) + 10/(2 - 0). 2 What is the value of 38/10 + -16*(-10)/800? 4 (-8)/110*((-375)/10)/15 2/11 What is the value of ((-102)/21 - -4)*28/(-8)? 3 (40/12)/((-65)/(-78)) 4 9/((-81)/63) + 8 1 Calculate (2/3)/((-8)/(-36)). 3 -3*(5/(-15) - -1) -2 What is -1 +
{ "pile_set_name": "DM Mathematics" }
*3 Expand (774 - 1500 + 6298 + 2504)*(1 - 2*r - 1). -16152*r Expand 2*i**3 + 2*i**3 - i**3 + ((5 - 2 - 2)*(2*i + 1 - 1) + 444*i - 146*i - 55*i)*(4*i**2 - i**2 - i**2). 493*i**3 Expand (-9278014 + 9278014 + 1722*z**2)*(1 - 1 - 1). -1722*z**2 Expand (-4*b + 2*b + b)*(-1 - 2 + 2)*(-3 - 6 + 4)*(-316*b**2 + 44*b**2 - 294*b**2). 2830*b**3 Expand (0*u**3 + 0*u**3 + 2*u**3)*(0 + 2 - 1) + (-u**3 + 4*u**3 - 2*u**3)*(283 - 147 + 164) - u**3 + 4*u**3 - 4*u**3. 301*u**3 Expand (-11149 - 15*m + 11149 - 4*m**2)*(4*m + 3*m - 4*m). -12*m**3 - 45*m**2 Expand (-28*b**2 + 16*b**2 + 50*b**2)*(-1 + 0 + 2)*(3*b + b - 6*b)*(-3 - 46 - 6). 4180*b**3 Expand (-5 + 15 + 17)*(-10*z - 14*z + 21*z + 36)*(-7*z**2 - z**2 + z**2). 567*z**3 - 6804*z**2 Expand -3*c**3 + c**3 + 5*c**3 + (8*c**2 + 8 - 8)*(27*c - 38*c - 19*c). -237*c**3 Expand -c**4 - 10*c**4 + 54*c**4 + 0*c + 0*c - 3*c**4 + ((1 + 3 - 2)*(7 - 2 - 3) - 7 + 0 + 2)*(-c**4 + c**4 + 2*c**4). 38*c**4 Expand 387*z**2 - 387*z**2 - 16*z**3 + (2 + 2*z**3 - 2)*(-2 - 4 + 5) + (6*z + z - 5*z)*(0 + 0 + 4*z**2) + (-z + 3*z - z)*(-3*z**2 + 3*z**2 + z**2). -9*z**3 Expand ((-4 - 3 + 5)*(1 - 4 + 1) + 1 + 2 - 1)*(5472*a - 17563*a + 5748*a). -38058*a Expand (0*a**3 + 5*a**3 + a**2 - a**3)*((-1 + 0 + 3)*(-2 + 2 + 2) - 39 - 2356 + 118). -9092*a**3 - 2273*a**2 Expand (-2 + 2*a + 2 + (2 + a - 2)*(2 + 1 - 2) + 1 - 2*a - 1 + 6*a - 4 + 4 + 0*a + a + 5*a)*(1 - 8 + 5 + 37*a). 481*a**2 - 26*a Expand -9*d**2 - 5*d**2 - 3*d**2 + (473 - 473 - 387*d)*(-3*d + 0*d + d). 757*d**2 Expand 7873*b - 2050*b + 6437*b + 2*b - 6*b + 3*b + (-4 - 3 + 5)*(-5*b + 2*b + 2*b) + 5*b - 3*b - 3*b. 12260*b Expand (1 - 1 + 2*n)*(8065 - 8065 - 36*n) + (-n - 2*n + n)*(-5 + 3 + 1)*(2*n - 5*n + 4*n) + n**2 - n**2 - n**2. -71*n**2 Expand (4 - 1 - 1)*(53*h + 572 - 572)*(3*h - 2*h - 3*h) + (2*h + h - 2*h)*(4*h - 2*h - 4*h). -214*h**2 Expand (-p + 4*p + p + (1 + 2 - 1)*(0 - p + 0) + 5*p - 2*p + 2*p + (3 - 4 + 5)*(-3*p + 0 + 0) + 6 - p - 6)*(p**4 + p**3 - p**3). -6*p**5 Expand (77 + 33 - 49)*(71 - 14 + 20)*(-2 + 2 + 2)*(-55 - 6*o + 55)*(-1 + 0 + 0). 56364*o Expand (-t + 0*t + 2*t)*(160*t**2 - 886578*t + 886578*t). 160*t**3 Expand (-n - n + 4*n)*(-3 - 8 + 5 - 2*n)*(87*n + 2940 - 2940) + (-2 + 1 + 2)*(-n**3 + n**3 - 3*n**3). -351*n**3 - 1044*n**2 Expand (2*k + 1 - 1)*(-487 + 87 - 16) + (-5*k + 3*k + k)*(1 + 1 - 3). -831*k Expand (2 + 1 - 2 + (-2 + 1 + 2)*(-1 - 2 - 1) - 45 + 31 - 11)*(5*o - 3*o - o + (-3*o + 0*o + 2*o)*(3 + 0 - 4) + 0 + 0 + o). -84*o Expand (-j**2 - 3*j**2 + 2*j**2)*(-3*j + 2*j + 2*j) - 2*j**3 - 2*j**3 - j**3 - 287*j**3 - 444*j**3 - 204*j**3 + 3*j**3 + 0*j**3 - 2*j**3. -941*j**3 Expand (-2*p**2 - 1 + 1)*(5*p - 2*p + 3*p + (0 + 2 - 1)*(p + 2 - 2) + 2 - 2 - 2*p + 2*p + 0*p - 5*p - 9*p + 0*p + 5*p). 4*p**3 Expand -1 + m**4 + 1 + (-m**2 + 2*m**2 + 2*m**2 + (m - m + 3*m)*(m - 6*m + 2*m))*(-17507 + 17507 - m + 60*m**2). -359*m**4 + 6*m**3 Expand -2*b**2 + 2*b**2 - 2*b**2 + (1 - 2 - 1)*(-3*b**2 - 2*b**2 + 7*b**2) + 14*b - 46*b**2 - 14*b + 2 - 10 - 5 + b**2. -51*b**2 - 13 Expand ((l - 7 + 7)*(2 - 6 + 3) - 3*l - 2*l + 8*l - 3*l + l + 4*l + (3 - 3 + 2*l)*(2 - 1 - 6))*(-2*l**2 + 3*l**2 + 2*l**2). -18*l**3 Expand 0*x - 3*x + 4*x + (0 + x + 0)*(-28 - 17 + 15) + (3 + 23 + 2)*(-4*x + 0*x + 2*x). -85*x Expand y - y**2 - y + (y**2 + 3*y - 3*y)*(-3 + 0 + 5) + (-11*y - 3*y + 4*y)*(43 - 43 - 63*y). 631*y**2 Expand (-3*x + x - x)*(2 + 1 + 1) + 1175 + 48*x - 1175 - x - 5 + 5 - x + x + 2*x + 2*x + 2*x - 5*x + 3*x + 3*x - 5*x + (-3*x + 0*x + 5*x)*(-1 - 2 + 1). 33*x Expand (2*z - 3*z + 2*z)*(z**4 - z**2 + z**2) + 374*z**5 + 132*z**5 - 49*z**5 + (-9*z**3 - 2*z**3 - 2*z**3)*(-z + z + 2*z**2). 432*z**5 Expand (11 - 5 - 5*u - 2*u**2 - 8)*(-1860 + 1860 - 18*u**3). 36*u**5 + 90*u**4 + 36*u**3 Expand (3*d + 0*d - d)*(3*d**3 + 2*d**3 - 2*d**3) + (5782*d + 6*d**2 - 5782*d - 10*d**4)*(3 + 0 + 3). -54*d**4 + 36*d**2 Expand -5*i**2 - 2*i**2 + i**2 + ((-2 - 2 + 5)*(-2 - 2 + 3) + 4 - 4 - 1 + 10 - 5 - 10)*(-i**2 + 4*i - 4*i). i**2 Expand (156*h + 293 - 293)*(-h**2 - 3*h + 3*h + (5*h - 2*h - 2*h)*(-2*h + 2 - 2))*(4*h**2 - 11*h + 11*h). -1872*h**5 Expand (2*x - 5*x - x)*(2984*x + 577*x - 5609*x) + (5*x - 3*x - 4*x)*(2*x - 3*x + 0*x). 8194*x**2 Expand (-2*d**2 + 21*d - 34*d - 14*d)*(-2*d - d + d)*(134 + 14*d - 134). 56*d**4 + 756*d**3 Expand -4 - 5*c - 2 + 4 + (2*c + 3*c - 3*c)*(-384 - 103 - 632). -2243*c - 2 Expand (-14*l + 23 - 23)*((-2 + 2 + 2)*(-6 + 10 + 6) + 1 - 5 + 5). -294*l Expand (4*y**4 - 3*y**4 - 9*y**2 - 4*y**2)*(-87*y - 137*y - 134*y). -358*y**5 + 4654*y**3 Expand (0 + 0 - v)*(17277 + 21411 - 21349)*(-1 + v + 1). -17339*v**2 Expand (0*a**2 + a**2 + 0*a**2)*(17*a - 5*a - 2*a)*(313 - 72*a - 313). -720*a**4 Expand (-38 + 56 + 116)*(-10 - y - 10*y + 8). -1474*y - 268 Expand s**5 + s**5 - 4*s**5 + (2*s**3 - s**3 - 2*s**3)*(153*s**2 - 57*s**2 + 50*s**2) + 0*s**5 - 3*s**5 + 2*s**5 + (0 + 0 - s**4)*(2*s + s - 5*s). -147*s**5 Expand (-122 - 154 - 208)*(2*h**3 + 3 - 2*h**2 + 2*h**2). -968*h**3 - 1452 Expand (4*p**3 - 4*p**3 - 4*p**3)*(-2 - 4 + 4) - 23 + 23 + 55*p**3 + 3*p - 3*p - 2*p**3. 61*p**3 Expand ((4 - 2 - 8)*(1 - 1 + 4)*(-5*n + 4*n + 5*n) + 1 - 1 + n)*((1 - 3 + 0)*(1 - 2 + 4) + 2 - 4 + 0). 760*n Expand (3 + 5 - 3)*(-6*y + 3*y + 2*y) - 21 - 22 - 12 + 18*y + 31. 13*y - 24 Expand 2*o**4 + 2 - 2 + (4*o - 6*o - 20*o)*(-5*o**3 + 4*o**3 + 0*o**3) - 7 - 7*o**4 + 7 - 2*o**4 + o**2 - o**2 + (-o**3 - 2 + 2)*(o + 2*o - o). 13*o**4 Expand (-y - y + y)*(1 - 1 - 1)*((1 - 1 + 2)*(-2*y - 2*y + 6*y) + 23*y - 57*y - 29*y)*(-1 - 1 + 4)*(0 + 1 + 0)*(-1 + 3 + 2). -472*y**2 Expand -r - r + r + (-52 - 6 + 492)*(0*r + 3*r + r). 1735*r Expand (200*s + 385*s - 285*s)*(0 + 3 - 5 + (5 - 4 - 2)*(0 + 1 - 3) + 2 - 2 + 1 + 1 - 2 + 3). 900*s Expand (-3*f + 3*f + 9060*f**4 - 9252*f**4)*(-16 - 15 + 34). -576*f**4 Expand -8*f**2 + 2*f**2 - 5*f**2 - 4*f**2 + 3*f**2 - 2*f**2 - 3*f**2 + (33 + 19*f**2 - 33)*(-1 - 2 + 4) + 6*f**2 + 3*f**2 - 16*f**2. -5*f**2 Expand (0*k - k - k)*(-277*k + 159*k + 157*k) + (-2*k - 3 + 3)*(-k + 2 - 2). -76*k**2 Expand (-28*c**3 + 423 - 423)*((0 + 1 + 0)*(0 + 2*c + 0) - 3*c - 2*c + 4*c - 3*c + 3*c - 2*c - 11*c + 2*c - c) + 3*c - 3*c + 7*c**4. 315*c**4 Expand (-134*o**2 - 111*o**2 - 25*o**2)*(o + 4*o - 3*o) + 13*o**2 - 3*o**3 - 5*o**2 - 7*o**2. -543*o**3 + o**2 Expand -5*h**2 + 2*h**5 + 6*h**2 + h**5 + (-13*h**2 - 6*h**2 - 3*h**2)*(5*h**2 - h - 5*h**2 - 2*h**3) + 5*h**4 - 5*h**4 + h**5. 48*h**5 + 22*h**3 + h**2 Expand (-11*d - 2*d + 3*d + 2*d - 3 + 3 + (2 - 2 + 3)*(-3 - d + 3))*(-4 + 1 + 1) + (-1 + 0 - 1)*(27*d - 74*d - 80*d). 276*d Expand ((0*j**2 - 4*j**2 + 3*j**2)*(0 - 6 + 4) + 2*j**2 + 3*j**2 - 2*j**2)*((-3 + 3 + j)*(7 - 7 - 8) - 4*j + 9*j - 22*j). -125*j**3 Expand (-3*j**4 + 7*j**4 + 6*j**4)*(342*j + 860*j - 748*j). 4540*j**5 Expand (-z - 23*z**4 + 3 + 0 + 24*z**4)*(35*z - 11*z + 10*z). 34*z**5 - 34*z**2 + 102*z Expand -485334*v - 4 + 483856*v + 4 + (-1 + 1 - 3*v)*(1 + 2 - 1). -1484*v Expand (-431*n**3 - 211*n**3 + 932*n**3)*(-10*n + 10*n - 10*n) - 5*n**2 + 5*n**2 - 2*n**4. -2902*n**4 Expand (-w - 2*w + 0*w)*((41 - w - 42 - w)*(0 - 6 + 4)*(-2 + 5 - 4) + 0*w - w + 5*w + (9 - 1 + 1)*(-w + 3 - 3) - 2 + w + 2). 24*w**2 + 6*w Expand (5313*t + 1892*t + 53527*t + 14897*t)*(-3*t + 4*t + t)*(-2 - 3 + 7). 302516*t**2 Expand (1134 - 195 - 14475 - 4209)*(-s + 5*s - s). -53235*s Expand (12651940 - 10734*f**2 - 12651940)*(-f**2 + f + 2*f**3 - f). -21468*f**5 + 10734*f**4 Expand 46*u**2 - 4672*u + 4672*u + (-1 + 5 - 1)*(-3*u**2 - u**2 + 5*u**2) + 4*u**2 - 2*u**2 + 0*u**2 + (2 - 3 - 1)*(-2*u**2 + 4 - 4). 55*u**2 Expand (-226*s + 7 + 447*s - 233*s)*(3 - 2*s - 3) + (-s + 0 + 0)*(-3*s - s - 4*s). 32*s**2 - 14*s Expand (-5 - 3 + 2)*(-49 + 32 + 23)*(3 + 2*k - 3). -72*k Expand (-149*a - 130*a - 250*a + 17*a - 24*a)*(8 - 69 - 4). 34840*a Expand (-2*m**2 + 0*m**2 + 0*m**4 - 2*m**4)*(-167792 + 57293*m + 83905 + 83887). -114586*m**5 - 114586*m**3 Expand (-41 - 35*o + 41 - 181*o + (-5*o + o + 2*o)*(9 - 4 - 4))*(8 - 5 + 4). -1526*o Expand (-2*t**2 - 7*t + 7*t)*(3*t + 1015*t - 37*t). -1962*t**3 Expand (6*f - 5*f - 21*f)*(32 - 6 + 4 + 15)*(f**3 + f - f). -900*f**4 Expand (6*p**5 - 9*p**4 + 9*p**4)*(-535 + 688 + 842). 5970*p**5 Expand 265*f**3 - 264 + 264 + (-f - 2 + 2)*(-2 + 5*f**2 - 3*f**2 + 6*f**2). 257*f**3 + 2*f Expand (0 - 4 +
{ "pile_set_name": "DM Mathematics" }
*2 - 3*b**2 - 8*b**2 - 3*b**2 to g*b + t*b**3 + y + s*b**2 and give t. -2 Rearrange 17 - 9*c**3 + 24 - 51 + 22*c**2 + 9 to the form y*c**3 + g + u*c**2 + l*c and give u. 22 Rearrange -5*r**2 + 13*r - 15*r**2 + 17*r - 34*r + 2*r**3 to the form i*r**3 + a*r**2 + g + b*r and give i. 2 Rearrange (-321 + 321 + 16*v)*(-8*v**2 - 164 + 164)*(1 + 2 - 2) to the form w*v + d*v**2 + m*v**3 + c and give m. -128 Rearrange 10*i**2 + 0*i**3 - 3 - i**3 - 4*i**2 + 0 to the form g*i + m*i**2 + q*i**3 + p and give p. -3 Express -8*t**2 - 265*t + 260*t - 3 + 3 in the form i*t**2 + s*t + p and give s. -5 Rearrange -8844 - 567*o + 4422 + o**2 + 4422 to h + x*o**2 + s*o and give x. 1 Express o**3 - o**2 + 21 - 1 - 2 - 15 - 7*o**4 in the form s*o**2 + v*o**3 + z*o**4 + t*o + w and give t. 0 Rearrange 3 - 3 - 470*q**3 + 456*q**3 + 2*q**2 - q + 4*q**2 to the form n*q + z*q**3 + y + t*q**2 and give n. -1 Express (-39 + 90 - 36 - 4*x)*(1 + 0 + 1 + (4 - 4 - 2)*(-2 + 4 + 0)) as q*x + b and give q. 8 Express (2 - 2 + 1)*(3 + 13*q - 14*q + 3 - 3*q**2 + (-2 + 2 + 1)*(-6*q**2 - 1 + 1)) in the form m + v*q**2 + c*q and give c. -1 Express (13 + 115*p + 4 - 18 - 1)*(-3*p**2 + 3 - 3) as c*p + o + q*p**2 + m*p**3 and give o. 0 Rearrange j + 3 - 3 + (10 - 2 + 32)*(-1 - 3*j + 1) to g*j + h and give g. -119 Rearrange -3*g**2 - g**2 + 3*g**2 + (0*g - 2*g + 4*g)*(-9*g + 4*g - 41*g) to the form t*g**2 + l + w*g and give l. 0 Rearrange 205*n + 195*n + n**2 - 310*n + 520*n to the form w*n + g*n**2 + m and give w. 610 Express -207*g + 1100*g - 130*g + 60*g + 1498*g in the form l*g + d and give l. 2321 Express 238*b + 55*b + 382*b + 316*b in the form q*b + c and give q. 991 Express (85 - 522 - 52)*(-k + 3*k - k) as p*k + c and give p. -489 Rearrange (3*k**2 - k**3 - 5*k**2 - 3*k**3)*(-3*k + 3*k - 2*k)*(-4 + 41 + 43) to b*k**2 + c*k**3 + p*k**4 + i*k + h and give p. 640 Rearrange (-6*z + 3*z + z)*(146*z - 22*z + 101*z - 30*z)*(0 - 3 + 2) to f*z**2 + k*z + x and give f. 390 Rearrange 37*w**2 - 296*w**2 - 62*w**2 + 10*w**2 - 66*w**2 to the form g*w + z + m*w**2 and give m. -377 Rearrange (-7405 + 14280 - 7443)*(2*p**3 - p**3 + 0*p**3) to y + r*p + t*p**3 + a*p**2 and give t. -568 Express -27*x + 32*x + 11 - 13 - 39 in the form z*x + y and give z. 5 Rearrange 195*c**2 - 95*c**2 + 0*c + 2*c**3 - 2*c - 100*c**2 + 235 to the form j*c**2 + x*c**3 + s + z*c and give z. -2 Express -14 + 3*t**3 - 21*t**2 - 16*t**2 + 13 + 2*t**2 as a*t**2 + m*t + x*t**3 + h and give a. -35 Rearrange (1 - 3*k + 9 - 18)*(0*k**2 - 5*k**3 + 2*k**3 + 2*k**2) to t + d*k**3 + p*k + b*k**2 + i*k**4 and give i. 9 Rearrange (-3*w**2 + 0*w**2 + 5*w**2)*((0 + 0 - w)*(-2 + 1 + 0) - 27 - 25*w + 27) - 2*w**3 - 2*w**3 + 3*w**3 to the form l*w**3 + p*w**2 + m*w + v and give l. -49 Express (-5*t**3 + 2*t**3 + 2*t**3)*(2 - 4 + 3) + (-5*t + 20 - 20)*(-t + t - t**2) as b*t**2 + s + i*t**3 + q*t and give i. 4 Rearrange 2*o + 298*o**4 - 296*o**4 + o + (5*o**3 + 9*o**3 + o**3)*(-4*o - 4*o + 5*o) to the form c*o**3 + x*o**4 + u*o + l + q*o**2 and give x. -43 Express -7*b - 22*b**4 + 1 - 24*b**4 + 2*b**2 + 0 + 43*b**4 as x*b**4 + f*b + z*b**3 + o + w*b**2 and give f. -7 Rearrange 2*h**3 - 3*h**3 + 19*h**4 - 2 - 9*h - 17*h**4 + 34*h to the form w + v*h**4 + b*h**2 + t*h**3 + z*h and give w. -2 Rearrange -3*n - 2 - 2 + 11 to r*n + c and give c. 7 Rearrange 3*n + 2*n - 4*n + (-1 - 1 - 1)*(0*n + 6*n - 5*n) + (-7*n + 0*n - 5*n)*(-1 + 1 + 6) to w*n + j and give w. -74 Rearrange (2*f + 9*f - 10*f)*(2 - 5 + 2)*(-1 - 2 - 1)*(-4 + 4 + 2*f) to the form i*f + c*f**2 + o and give c. 8 Rearrange ((-6 + 1 + 0)*(6*b - 3*b - b) + b - 3 + 0 - 2)*(-2*b - 10*b + 19*b) to the form c*b**2 + y + t*b and give c. -63 Express 17 + 18 + 31*k**2 - 5*k + 14 - 51 as d + z*k**2 + a*k and give d. -2 Express -48 + 58*l - 141*l + 4*l**3 + 80*l as f*l**3 + s*l + q + y*l**2 and give f. 4 Express -2*b**2 + 152*b + 5 - 330*b + 178*b in the form a + o*b**2 + i*b and give o. -2 Express 12*y - 8*y - 1 - 9*y in the form z*y + o and give o. -1 Rearrange -3*v**2 + 8 - 15 + 9 + v**2 + 91*v - 3*v**3 to the form g*v + y + c*v**2 + o*v**3 and give y. 2 Rearrange 5*y**3 + 6*y**3 + 9*y**3 + (133*y**2 + 52*y**2 - 44*y**2)*(-2*y - 2*y + 2*y) to the form p*y**3 + q*y**2 + f + l*y and give p. -262 Rearrange 3 + 8 - 5*l + 2*l**3 - 25 + 14 to the form f*l**2 + p*l + y + o*l**3 and give f. 0 Express -8024*a + 4017*a + 135 + 4012*a in the form y + d*a and give y. 135 Express 2 - o**3 + 116271*o - 16*o**2 - 116267*o + 2 - 1 as h + q*o + y*o**2 + l*o**3 and give h. 3 Rearrange 2*y**4 + 12*y**3 + 9 + 10*y**3 - 13*y**3 - 10*y**3 to the form i + k*y**2 + b*y + r*y**4 + c*y**3 and give c. -1 Express (c - c - c**4)*(1 + 2 - 2) - 9*c + 34*c - 8*c - 21*c**4 in the form i + x*c**4 + o*c + n*c**3 + q*c**2 and give o. 17 Rearrange 3*s + 2*s - 3*s + 2*s + 0*s + s + (1 + 4 - 6)*(2*s + s - s) + s - 6*s + 3*s - 19*s + 4*s - 9*s to the form r + k*s and give r. 0 Express (-3 - 1 + 1 + 3 - 18*m)*(-m + m - m) in the form o + g*m**2 + b*m and give g. 18 Rearrange (-8 + 6687*j - 15 + 6687*j - 13368*j)*(-4 + j + 4) to k*j + q*j**2 + h and give q. 6 Express -m - 3*m + 3*m + 2*m + 3 - 3 + (m - 2*m + 0*m)*(0 - 1 - 1) + 0*m - 2*m + 4*m - 48 - 64*m + 48 in the form d*m + f and give d. -59 Rearrange -6*y + y**4 + 7*y - y**3 + 0*y**2 - 2*y**2 - 1 + 2*y to f*y**4 + p*y**2 + w*y**3 + n*y + q and give p. -2 Rearrange 311*q + 118*q + 58*q + 139*q + 14*q to m*q + g and give m. 640 Rearrange 78 - 70*d - 78 + 290*d to u*d + l and give l. 0 Rearrange 2*i**4 - 3*i**4 - 1 + i**3 - 7*i**2 + 17*i**2 - 6*i**2 - 2*i**2 + 2*i to the form x*i + g*i**2 + l*i**3 + v*i**4 + a and give x. 2 Rearrange (y + 6*y - 2*y)*(-7*y + 5*y + 24*y) + 4*y**2 - 2*y**2 - 3*y**2 + (2*y - 2*y + y)*(2*y + y - y) to r*y + x*y**2 + f and give x. 111 Express (41*z**2 + 54 - 54)*(-40*z + 78*z - 41*z) as s*z**3 + p*z + r + h*z**2 and give s. -123 Rearrange (13*v**2 + 24*v**2 + 17*v**2)*(0*v + 3 + 4*v - 3*v) to the form t + p*v**3 + j*v + b*v**2 and give p. 54 Rearrange 35*v**2 - 10*v - 12*v + 25*v**2 + 27*v**2 + 4*v**3 - 93*v**2 to the form p*v**2 + s*v**3 + b*v + x and give p. -6 Express -2*p + 0*p + 5*p - 2 - 2*p + 2 + (-3 - 12 + 1)*(-1 + p + 1) + (-3 + 3 - p)*(-1 + 1 + 2) in the form b + q*p and give q. -15 Rearrange 13 - 13 - 3*c + (0 + 3 - 5)*(4*c - 4*c - 3*c) - 2*c + 2 - 2 + (1 - 1 - 2*c)*(-3 + 6 + 0) to k*c + t and give k. -5 Rearrange k**2 - 26 + k - 23*k**2 + 24*k**2 to the form f*k**2 + h*k + v and give f. 2 Express 757 + 2*r**2 - 2*r**3 - 760 + 5*r**4 + 3*r**3 + r as l*r**3 + a*r**4 + h*r**2 + y*r + g and give a. 5 Rearrange -8 - 14 - 18 - 76*r + 42 to the form d*r + p and give d. -76 Express -4 + k - 3*k + 2*k**4 + 4*k + 6*k**2 in the form v*k**3 + r + a*k + q*k**2 + o*k**4 and give a. 2 Express 2*j - j - 2*j + (218 - 218 + 67*j)*(2 + 0 - 3) - j - j + 0*j as q + d*j and give q. 0 Rearrange (2*l + 8*l**2 - 3*l - 7*l**2)*(125*l + 128*l - 107*l) to the form z*l**3 + k*l + a + y*l**2 and give z. 146 Express 3*p + 0*p - 5*p + (0*p - p + 3*p)*(6 - 2 - 2) + p + 0 + 0 + 15*p - 31 + 29*p + 30 as r + q*p and give q. 47 Express (-37*x**2 - x + 63*x**2 - 32*x**2)*(3*x + 2*x - 2*x) in the form j*x**2 + s*x**3 + a + z*x and give s. -18 Express (0 + 2*y + 0)*(1 - 4 + 5)*(1 + 2 - 5) + (y - 5*y + 3*y)*(-3 + 1 + 25) + 4*y + y - 3*y in the form w*y + o and give w. -29 Express (787 + 564 + 46)*(2 + 0 + 0)*(-3*j + 0*j + 2*j) in the form q*j + y and give q. -2794 Rearrange 13 - 6 - 9 + 274*h**2 + 194*h**2 - h**3 to the form s*h**2 + r*h**3 + f*h + j and give j. -2 Rearrange 66 - 9*s + 7*s + 12 + 653 to the form r*s + z and give r. -2 Rearrange (-11*s**2 - 9*s**2 - 9*s**2)*(-56*s**2 + 3*s**2 - 6*s**2) to the form r*s**4 + f*s**2 + a*s**3 + l + d*s and give r. 1711 Express -545*h - 24*h - 159*h - 15*h in the form o + v*h and give v. -743 Express (4 + 0 - 2)*(0*u**2 - 5*u**2 - 2*u**2) - 2*u**2 - u**2 + 5*u**2 - 1 + 1 - u**2 + (u**2 + 19*u**2 - u**2)*(3 + 0 - 1) as w*u + z*u**2 + v and give z. 25 Rearrange -15*d**2 + 10*d**2 + 3*d**2 + 23*d**2 + d**2 to p*d + f + i*d**2 and give i. 22 Express -1 + 68*f - 48*f - 91*f + 1 as g*f + l and give l. 0 Express (-3 - 2 - 1)*(1 - 1 - o)*(-105*o**3 - 215*o**3 + 434*o**3) as h + y*o**3 + a*o + z*o**2 + i*o**4 and give i. 684 Express 2 + 7*t + 7*t
{ "pile_set_name": "DM Mathematics" }
17 a factor of j? False Let p(c) = -33*c - 37. Let a = 440 - 445. Is 36 a factor of p(a)? False Let a(d) = d**2 - d. Let c be a(2). Suppose 3*j + 2*j = -25, c*y + 3*j = -9. Suppose -y*t + 31 = -5. Is t a multiple of 2? True Let g = 6576 + -5677. Is 30 a factor of g? False Suppose 13*y - 9*y + o = -2723, -665 = y - 5*o. Let q = -43 - y. Is 13 a factor of q? True Suppose m = -3*s - 2*m - 174, 3*s - 4*m = -202. Let w be -1 + 20*((-69)/(-12) + 0). Let u = w + s. Is 13 a factor of u? True Let l(o) = 194*o + 86. Let b(a) = -129*a - 57. Let y(c) = 8*b(c) + 5*l(c). Is y(-9) a multiple of 28? True Let b(a) = a**3 - 62*a**2 + 37*a + 2. Is 137 a factor of b(63)? True Suppose 0 = -10*z - 3*a + 89709, -3*z + 5*a = z - 35865. Is z a multiple of 138? True Let o be (-2499)/(-11) - 2/11. Let i = -212 + o. Is i a multiple of 15? True Let d(l) = 25*l + 4287. Is 6 a factor of d(-124)? False Let i(v) = v**3 + 15*v**2 - 19*v - 13. Let j be i(-15). Suppose -35*y + 4997 - j = 0. Is 15 a factor of y? True Let q(m) = 3*m**3 - 22*m**2 + 29*m - 23. Let l(c) = c**3 + c**2 - 1. Let b(w) = 2*l(w) - q(w). Does 39 divide b(22)? True Suppose -2*l = 0, -160*l - 18176 = -4*j - 162*l. Is 64 a factor of j? True Suppose 15*x = 19*x + 32. Let c = 347 - x. Suppose 4*y = 9*y - c. Is y a multiple of 11? False Let n be (2 - 225/(-12)) + (-22)/(-88). Is (-3 - n/(-6))*1882 a multiple of 78? False Suppose 3*n - 57*q = -56*q + 30553, 3*n = -5*q + 30529. Is 13 a factor of n? False Let u(z) = 3*z**2 + 19*z - 4. Let j be u(-19). Suppose 4*k - 2*n - 1491 = -5*n, -2*k + 4*n + j = 0. Is k a multiple of 9? True Suppose -5*t + 21449 = 3*l, -21437 = -5*t - 20*l + 21*l. Does 8 divide t? True Let y(s) = -95*s**2 + 96*s**2 - s + 3 - 1. Suppose m = 0, -7*i + 3*i = -3*m - 24. Is 6 a factor of y(i)? False Suppose 57 = y + 2*y + a, 3*a - 99 = -5*y. Let d(g) = g**3 - 3*g + 13*g - 3*g - 21 - 4*g - y*g**2. Does 11 divide d(18)? True Let s(u) = -u**2 + 20*u + 44. Let j be s(22). Suppose -4*v + 2*m + 124 = -3*m, v - 4*m - 20 = j. Is ((-15)/20)/((-27)/120)*v a multiple of 24? True Suppose 4 = 2*p, 2*p - 103 = -3*n + 3. Is 3 a factor of n/187 - 2372/(-22)? True Suppose 6378 + 62751 = 42*i - 4665. Does 6 divide i? False Suppose 47 - 15 = 4*v. Suppose 0*n - 2*n - v = 0. Is 5 a factor of (-2)/(-4) + (-129)/24*n? False Let x = -52984 + 117555. Does 13 divide x? True Let i(b) = b - 10. Let o be i(6). Let s(p) = -2*p**3 - 4*p**2 + 5*p + 11. Let k be s(o). Suppose -2*d + 53 + k = 0. Is d a multiple of 8? False Let i = -113 - -109. Is 54 + (-2 + -7 - i) even? False Suppose -3812 = -5*c - 972. Is 2 a factor of c? True Suppose -265*b - 68*b + 386930 - 15302 = 0. Is 93 a factor of b? True Suppose 2*f - 32464 = -2*h, 16216 = f + 166*h - 161*h. Does 164 divide f? True Suppose -97 = -167*j + 166*j. Suppose -5*u = -4*x + 57, 3*x - u = 43 - 3. Let g = j - x. Does 21 divide g? True Let q(r) = -r + 3*r + 6*r - 24 + 16*r. Let i be q(-10). Let n = i - -397. Does 31 divide n? False Suppose 0 = -114*m + 116*m - 6. Does 4 divide ((-6)/m)/(-1*1/16)? True Does 131 divide (155628/297)/((-4)/(-166))? True Suppose -109 = -15*g + 56. Suppose g*t - 5684 = 4*t. Is 58 a factor of t? True Suppose 0 = -9*f + 4428 - 1755. Does 45 divide f? False Suppose 0 = -3*v + t - 4, -t - 2*t - 24 = 3*v. Let y be -5*(v + 1 + 1). Suppose y*d = -3*u + 168, d - 13 = -5*u + 3. Does 36 divide d? True Let g be ((8 - 4) + -5)/1. Let o be (4 + -5)*g*3. Let p(n) = 5*n + 5. Is 10 a factor of p(o)? True Let p = -288 + 319. Suppose -p*f + 19*f = -3360. Is f a multiple of 9? False Suppose 2*a = -0*v + 4*v + 70, 0 = 4*a - v - 119. Suppose -3*f = -3*x + 6, -3 = 5*x - f - a. Suppose z + 2*b - 32 = 0, -4*b + 16 = z - x. Is z a multiple of 21? True Let g(x) = -2*x**2 + 17*x + 66. Let u(d) = d - 1. Let z(k) = -g(k) - 2*u(k). Is 2 a factor of z(-4)? True Let s(r) = -79*r - 162. Suppose -5*c = 4*i + 22 + 3, -4*i - c - 21 = 0. Is 5 a factor of s(i)? False Let m(p) = -181*p - 3. Let h be m(1). Let r = -122 - h. Is r a multiple of 3? False Let p = 5734 - 1870. Is 42 a factor of p? True Let g be (-84)/(-126) - 26/3. Is 16 a factor of ((-4)/g - 20/(-8)) + 109? True Suppose 0 = -4*c + 3*p + 143, 5*c - p - 78 = 109. Let h = c - -32. Is h a multiple of 10? True Let k = -26 - -29. Let g be 3*(k + -1) + -2. Suppose -i - g = 0, -q - 3*i + 396 = 3*q. Is 29 a factor of q? False Suppose 2*w = 2*u + 26, -w + 17 = -0*w + 3*u. Suppose w = 4*i + 3*i. Suppose -4*h + l + 88 = 0, 3*h + i*l - 62 = -7. Does 12 divide h? False Let d = -218 + 222. Suppose d*i + 1807 = 17*i. Is i a multiple of 23? False Suppose s + 65 = -4*s. Let n(z) = -z**3 - 14*z**2 - 13*z - 9. Let w be n(s). Let y(u) = -8*u. Is y(w) a multiple of 12? True Let y(b) = 2*b**3 + 19*b**2 - b + 50. Is 14 a factor of y(5)? True Suppose -k = -0*s - 5*s - 88, s = 3*k - 306. Let t = k - 90. Let j(d) = d**2 - 16. Does 51 divide j(t)? True Does 110 divide (-443850)/(-99) - 12/9? False Suppose 1027 = 2*f - 5251. Is f a multiple of 73? True Suppose 5*h = 2*z - 0*z - 21, 9 = -3*h. Suppose -3*m = z*m - 774. Is 36 a factor of m? False Suppose 2*t - 10*i - 38066 = -13*i, -t + 19061 = -2*i. Is 13 a factor of t? True Suppose -4*s + 176 = 36. Let q = 38 - s. Suppose -q*l - 34 = 4*w - 150, 0 = 2*l + 4*w - 84. Does 16 divide l? True Is 0 + 1 - (-1898)/(-182)*-7217 a multiple of 28? True Let j(y) = -2*y - 4. Let m be j(-10). Let t(x) = -m*x + 2 - 5 - 4. Is 25 a factor of t(-8)? False Let r(l) be the second derivative of l**5/30 - l**4/12 - l**3/6 + 3*l**2 + l. Let o(h) be the first derivative of r(h). Does 17 divide o(5)? False Suppose -825*g = -833*g + 14016. Is g a multiple of 8? True Suppose 48888 = -99*k + 260285 - 10328. Is 44 a factor of k? False Let y(l) be the third derivative of l**4 - 19*l**3/6 + l**2. Suppose -5*z - 4*v = -9 - 35, -2*v = -4*z + 56. Is 14 a factor of y(z)? False Suppose -9*j + 6115 = 283. Let o = -198 + j. Is o a multiple of 25? True Let s(y) = 101*y**2 - 409*y - 22. Is s(13) a multiple of 24? False Let d(c) = -2*c**3 + 10*c**2 + 6. Let k(f) = -f - 5. Let n be k(-10). Let g be 32/80 - (-23)/n. Is 6 a factor of d(g)? True Is 11/(2915/212)*(21715/2 - 0) a multiple of 32? False Let t(u) = -12*u + 33. Suppose d + 55 = 4*d - i, 0 = -3*i - 12. Suppose -21*r = -d*r + 24. Is t(r) a multiple of 7? True Let w(f) = 25*f - 5. Let b(a) = -13*a + 3. Let r(d) = 5*b(d) + 3*w(d). Let s be r(1). Let x(y) = 10*y - 2. Is 28 a factor of x(s)? False Let p(a) = 12*a**2 - 162*a + 5100. Is 13 a factor of p(55)? False Let i = -775 - -996. Is i a multiple of 141? False Let w(g) = 47*g + 39 + 443*g - 494*g. Let v(z) = -2*z + 1. Let q be v(4). Does 8 divide w(q)? False Let m(p) = -56*p - 70*p - 155 + 36*p. Does 55 divide m(-6)? True Let r = -43 + 57. Suppose -r*s + 2 = -13*s. Suppose -4*o - j = -s*j - 213, -j = 3*o - 165. Is 9 a factor of o? True Let h be (1521/4)/(96/(-64))*-2. Let k = 1324 - h. Does 20 divide k? False Let a(f) = 20*f**2 - 5*f + 18. Let s be a(-4). Let v = s - 263. Is 5 a factor of v? True Let i(z) = 11*z - 50. Let y(a) = a**2 + 5*a + 9. Let j be y(-4). Let f be i(j). Suppose -2*v + 206 = f*w, -3*w - 3*v = -30 - 90. Is w a multiple of 14? True Suppose 1930 = -311*t + 316*t. Let i = 500 - t. Is 6 a factor of i? True Let j(q) = -9*q**3 - 53*q**2 - q - 8. Let y(w) = 27*w**3 + 159*w**2 + 2*w + 24. Let s(o) = -8*j(o) - 3*y(o). Does 11 divide s(-6)? False Suppose -3*c + 17757 = 2*f, -30142 - 5373 = -4*f - 5*c. Suppose -3*z + f = z. Does 41 divide 6/(-27) - z/(-27)? True Suppose -2*a = 5*c - 7127, 2*a - 1 = 1. Suppose -10*m - 9*m = -c. Is m a multiple of 3? True Suppose 0 = -60*v + 2123712 + 801828. Is 90 a factor of v? False Let r(i) be the third derivative of -i**4 + 67*i**3/6 + 106*i**2 + i. Does 23 divide r(-6)? False Let p be 2/4*(2 - -6). Let u = 5639 + -5598. Suppose 195 = p*f - u. Is 10 a factor of f? False Let m be (1 - 0) + (-2 - 15/(-3)). Suppose 0 = -5*q - m*q + 8163. Is 29 a factor of q? False Let k = 20496 - 14614. Does 17 divide k? True Let p(z) = 29*z - 458. Does 22 divide p(42)? False Suppose -141*k = -3*r - 150*k + 16131, -26904 = -5*r + 4*k. Does 28 divide r? False Let u = 5 - 5. Suppose 0*i + 2120 = 5*i - 2*s, -4*s = u. Is i a multiple of 46? False Let t(r) be the second derivative of -r**4/12 + 3*r**3/2 - r**2/2 + 27*r. Let
{ "pile_set_name": "DM Mathematics" }
prime factors of 7469700. 2, 3, 5, 7, 3557 List the prime factors of 5865593. 1319, 4447 List the prime factors of 4113883. 4113883 What are the prime factors of 1821365? 5, 7, 13, 4003 List the prime factors of 39827665. 5, 2473, 3221 List the prime factors of 5921389. 17, 47, 7411 List the prime factors of 1456618. 2, 197, 3697 What are the prime factors of 354846? 2, 3, 59141 List the prime factors of 239640. 2, 3, 5, 1997 What are the prime factors of 2331555? 3, 5, 37, 4201 What are the prime factors of 2245031? 2245031 What are the prime factors of 372664? 2, 37, 1259 What are the prime factors of 212994? 2, 3, 11833 List the prime factors of 7482980. 2, 5, 374149 List the prime factors of 1351. 7, 193 List the prime factors of 16531102. 2, 7, 19, 29, 2143 What are the prime factors of 467073? 3, 17299 What are the prime factors of 1168072? 2, 146009 What are the prime factors of 653721? 3, 217907 What are the prime factors of 1728293? 7, 246899 List the prime factors of 3441113. 13, 223, 1187 What are the prime factors of 11448368? 2, 715523 List the prime factors of 259613. 89, 2917 List the prime factors of 4237163. 7, 605309 List the prime factors of 108622. 2, 54311 List the prime factors of 867977. 11, 19, 4153 List the prime factors of 8620692. 2, 3, 718391 What are the prime factors of 549115? 5, 7, 29, 541 List the prime factors of 465257. 13, 2753 List the prime factors of 3412358. 2, 1706179 List the prime factors of 396985. 5, 79397 List the prime factors of 9229848. 2, 3, 384577 List the prime factors of 640062. 2, 3, 439 What are the prime factors of 787876? 2, 61, 3229 What are the prime factors of 5638064? 2, 29, 419 List the prime factors of 1036429. 43, 24103 What are the prime factors of 107896? 2, 13487 List the prime factors of 183689. 11, 16699 What are the prime factors of 266188? 2, 13, 5119 What are the prime factors of 877811? 11, 79801 What are the prime factors of 2066611? 19, 108769 List the prime factors of 2501718. 2, 3, 37, 59, 191 List the prime factors of 1593309. 3, 531103 What are the prime factors of 92778? 2, 3, 7, 47 What are the prime factors of 7357747? 7357747 What are the prime factors of 446541? 3, 73, 2039 What are the prime factors of 1017851? 1017851 List the prime factors of 15200918. 2, 7600459 List the prime factors of 919702. 2, 7, 179, 367 What are the prime factors of 81928? 2, 7, 11, 19 What are the prime factors of 7018146? 2, 3, 389897 List the prime factors of 231164. 2, 57791 What are the prime factors of 470276? 2, 89, 1321 What are the prime factors of 1682013? 3, 19, 23, 1283 What are the prime factors of 10441437? 3, 37, 109, 863 What are the prime factors of 361745? 5, 71, 1019 What are the prime factors of 816405? 3, 5, 37, 1471 What are the prime factors of 765625? 5, 7 What are the prime factors of 1472650? 2, 5, 29453 What are the prime factors of 13389927? 3, 19, 61, 3851 List the prime factors of 45956. 2, 11489 What are the prime factors of 209623? 209623 List the prime factors of 984581. 13, 53, 1429 List the prime factors of 5166167. 1213, 4259 What are the prime factors of 497938? 2, 7, 5081 What are the prime factors of 178369? 107, 1667 What are the prime factors of 9268546? 2, 7, 59, 229 List the prime factors of 14730. 2, 3, 5, 491 List the prime factors of 8961513. 3, 11, 23, 11807 What are the prime factors of 30788930? 2, 5, 19, 131, 1237 List the prime factors of 463555. 5, 83, 1117 List the prime factors of 428464. 2, 61, 439 What are the prime factors of 185348? 2, 46337 List the prime factors of 9876945. 3, 5, 13, 50651 What are the prime factors of 865475? 5, 13, 2663 List the prime factors of 465052. 2, 7, 17, 977 List the prime factors of 1921524. 2, 3, 11, 14557 What are the prime factors of 1131376? 2, 31, 2281 List the prime factors of 76906. 2, 38453 List the prime factors of 18231. 3, 59, 103 List the prime factors of 910269. 3, 101141 What are the prime factors of 18241848? 2, 3, 28151 What are the prime factors of 227291? 37, 6143 What are the prime factors of 2891009? 11, 262819 List the prime factors of 212666. 2, 113, 941 What are the prime factors of 37475? 5, 1499 What are the prime factors of 1265487? 3, 113, 3733 What are the prime factors of 3178574? 2, 7, 29, 7829 List the prime factors of 21827. 13, 23, 73 List the prime factors of 83615. 5, 7, 2389 List the prime factors of 2154885. 3, 5, 19, 7561 What are the prime factors of 14716998? 2, 3, 272537 List the prime factors of 202542. 2, 3, 33757 What are the prime factors of 171069? 3, 127, 449 List the prime factors of 3095389. 11, 439, 641 List the prime factors of 358636. 2, 89659 List the prime factors of 2563613. 13, 19, 97, 107 List the prime factors of 3919826. 2, 17, 31, 3719 What are the prime factors of 618318? 2, 3, 34351 What are the prime factors of 175109? 11, 15919 List the prime factors of 10335823. 10335823 What are the prime factors of 250377? 3, 83459 List the prime factors of 154752. 2, 3, 13, 31 List the prime factors of 4560783. 3, 193, 7877 What are the prime factors of 2592633? 3, 864211 List the prime factors of 78022. 2, 7, 5573 What are the prime factors of 7640031? 3, 7, 51973 List the prime factors of 5682922. 2, 7, 103, 563 What are the prime factors of 32427549? 3, 7, 11, 73, 641 What are the prime factors of 110924? 2, 11, 2521 What are the prime factors of 2130490? 2, 5, 23, 59, 157 List the prime factors of 8975112. 2, 3, 373963 What are the prime factors of 134472? 2, 3, 13, 431 What are the prime factors of 1954692? 2, 3, 2011 What are the prime factors of 376281? 3, 41809 What are the prime factors of 37471675? 5, 79, 18973 List the prime factors of 1930983. 3, 643661 List the prime factors of 5205728. 2, 11, 23, 643 List the prime factors of 515458. 2, 97, 2657 List the prime factors of 26411. 7, 11 What are the prime factors of 831387? 3, 97, 2857 List the prime factors of 80783. 80783 What are the prime factors of 711383? 379, 1877 List the prime factors of 36057. 3, 7, 17, 101 List the prime factors of 2689587. 3, 17, 17579 What are the prime factors of 175750? 2, 5, 19, 37 What are the prime factors of 1926480? 2, 3, 5, 23, 349 List the prime factors of 24466376. 2, 11, 19, 14633 What are the prime factors of 3787979? 13, 67, 4349 List the prime factors of 2023621. 2023621 List the prime factors of 491738. 2, 13, 18913 List the prime factors of 474133. 11, 43103 List the prime factors of 4931738. 2, 7, 352267 List the prime factors of 2170628. 2, 17, 137, 233 What are the prime factors of 2721016? 2, 340127 List the prime factors of 46959. 3, 11, 1423 What are the prime factors of 3803956? 2, 13, 191, 383 List the prime factors of 208562. 2, 104281 What are the prime factors of 1684119? 3, 561373 List the prime factors of 12077472. 2, 3, 11, 11437 What are the prime factors of 15202876? 2, 13, 292363 What are the prime factors of 5929095? 3, 5, 395273 List the prime factors of 34536. 2, 3, 1439 What are the prime factors of 245641? 11, 137, 163 What are the prime factors of 1410392? 2, 176299 What are the prime factors of 7180781? 41, 175141 List the prime factors of 227933. 193, 1181 List the prime factors of 21109997. 4397, 4801 What are the prime factors of 417066? 2, 3, 13, 5347 What are the prime factors of 4715059? 19, 248161 List the prime factors of 623503. 31, 20113 List the prime factors of 111977. 111977 What are the prime factors of 27424859? 7, 11, 17, 41, 73 List the prime factors of 497737. 497737 What are the prime factors of 500504? 2, 62563 List the prime factors of 2101470. 2, 3, 5, 7, 10007 What are the prime factors of 108400? 2, 5, 271 What are the prime factors of 7203395? 5, 1440679 List the prime factors of 5024241. 3, 53, 3511 What are the prime factors of 177104? 2, 11069 What are the prime factors of 2192627? 419, 5233 List the prime factors of 1154980. 2, 5, 17, 43, 79 What are the prime factors of 2645556? 2, 3, 113, 1951 What are the prime factors of 3111159? 3, 1037053 List the prime factors of 1024221. 3, 11, 41, 757 What are the prime factors of 5392236? 2, 3, 449353 What are the prime factors of 527403? 3, 31, 53, 107 List the prime factors of 517691. 401, 1291 What are the prime factors of 437730? 2, 3,
{ "pile_set_name": "DM Mathematics" }
3*a - z - 27 = 0, 2*a + 10 = -z + 33. Suppose 168 = a*c - 3*c. What is the highest common factor of c and 6? 6 Let f be ((-4)/(-6))/(10/300). Calculate the highest common factor of f and 250. 10 Let x(t) = 2*t**3 - 18*t**2 + 4*t - 8. Let a be x(9). Calculate the highest common factor of 784 and a. 28 Suppose -4*s = -2*k - 104, -2*k - 29 = -3*s + 49. Let j = 131 - 79. Calculate the highest common factor of s and j. 26 Suppose -40*s = -44*s + 240. Calculate the greatest common divisor of 220 and s. 20 Suppose -3*v + 9 = 0, 3*t + 23*v = 28*v + 192. Suppose 66 = 3*o + z, -3*o + z + 72 = -0*z. What is the highest common factor of t and o? 23 Suppose 4*b - 2*o - 30 = 0, 8*o - 6*o - 12 = -3*b. What is the greatest common divisor of b and 102? 6 Suppose -3*k = 5*v - v - 1088, v - 271 = -k. What is the greatest common divisor of v and 165? 55 Let l be (-3 + 2 + -1)/(4/(-434)). Let y = 65 + -34. Calculate the greatest common divisor of l and y. 31 Suppose 339 = 5*d - 651. Let p = d - -58. What is the greatest common divisor of 32 and p? 32 Let v(r) = r**2 + 19*r - 81. Let p be v(-34). What is the highest common factor of 132 and p? 33 Let h = -13 - -13. Suppose -5*j + 75 + 5 = h. What is the greatest common factor of 4 and j? 4 Suppose 5 = -5*x, -r - 5*x + 35 = -158. Calculate the highest common factor of r and 660. 66 Suppose 5*f - 2*p = 133, -2*f = -10*p + 5*p - 49. Let r be (-9)/54 + (-5)/6. Let o be f*2*(0 - r). Calculate the greatest common factor of 36 and o. 18 Suppose -2*v + 6 = -8. Suppose -91 = -v*o - 28. What is the highest common divisor of 27 and o? 9 Let g = -1565 + 1637. What is the greatest common factor of 414 and g? 18 Let y be (1/5)/(6/30). Let r be y/(-2)*(-264 + -2). Suppose 2*i = 7 + r. What is the highest common factor of 28 and i? 14 Suppose 0 = -4*x + 2*u + 30, -u = -2*x + 4*u + 3. Let z = 16 - 11. Suppose z*g - g = 252. Calculate the greatest common divisor of g and x. 9 Let k(p) = p**3 - 7*p**2 - 6*p + 9. Let w(d) = d + 25. Let l be w(-17). Let i be k(l). What is the greatest common factor of 25 and i? 25 Let a be 4/2 + -2 + 14. Suppose -93*g + 95*g = -4*h + 108, 4*h = 7*g + 126. What is the greatest common factor of h and a? 14 Let k(q) = 112*q + 21. Let i be k(5). Calculate the highest common divisor of i and 7. 7 Let a = -2 - -5. Suppose 3*k - 5*n = 38, -a*k - 6*n + 88 = -n. Let w = 6 + 8. Calculate the highest common divisor of w and k. 7 Let k = 13 - 21. Let l = k - -2. Let b be l/(-4)*208/24. What is the highest common factor of b and 39? 13 Suppose -2*d + d = 4*d. Suppose -5*n - 5*r + 50 = d, -3*r = -4*n - 5*r + 32. Let p be 1/(-4) - (-17)/4. Calculate the highest common factor of p and n. 2 Let k(q) = -9*q + 1. Let j be k(-1). Suppose 0 = 2*x - j, 2*p - 86 = -4*x + 114. Calculate the greatest common factor of p and 10. 10 Let k be (-61)/(-7) - 32/(-112). Calculate the greatest common factor of k and 9. 9 Let m(o) = -o**3 + 2*o**2 + 4*o + 4. Let r be m(6). Let y = r + 83. Let s = -15 - y. Calculate the highest common factor of s and 126. 18 Suppose -2*o + 4*o - 22 = q, -19 = -3*o + 5*q. Suppose 16*s - o*s - 72 = 0. What is the highest common factor of s and 48? 24 Let b(m) = 28*m**3. Let z be b(-1). Let q be (-16)/z + (-4088)/(-49). Calculate the greatest common factor of 28 and q. 28 Suppose 6*l - 17427 = -7023. What is the highest common divisor of 102 and l? 102 Let m(k) = 369*k + 474. Let b be m(6). What is the highest common factor of 42 and b? 42 Suppose 81*l - 9350 = 70*l. What is the highest common factor of 150 and l? 50 Let w = 6 - 3. Let b(i) = 8*i**2 + 7*i + 0*i + 5 + 4 + i**w. Let d be b(-7). What is the highest common factor of 18 and d? 9 Let n(l) be the second derivative of 0 - 3*l**2 - 2/3*l**3 + 10*l. Let z be n(-4). What is the greatest common divisor of 25 and z? 5 Let k(r) = r**2 - r + 2. Let z be k(0). Suppose 2*c + z*c = 8. Suppose -c*b + 13 = l, 34 = l + 2*l + b. Calculate the greatest common divisor of 44 and l. 11 Suppose -3 = -6*c + 21. Let v = c - -4. What is the highest common factor of v and 8? 8 Let c = 236 - 116. Suppose 11*y - 8*y - c = 0. Suppose 5*p - y = p. Calculate the highest common factor of 10 and p. 10 Suppose -6 = v - 4*l, -2*v + 0*l - 2*l - 2 = 0. Let f(q) = -13*q + 4. Let x be f(v). What is the highest common factor of x and 18? 6 Let b(c) = 2*c**2 - 4*c + 4. Let r be b(2). Suppose -n - 289 = -r*p, -2*p = -4*p - 4*n + 140. What is the highest common divisor of p and 24? 24 Let t(z) = 2*z**3 + 4*z**2 - 5*z - 3. Let r be t(-2). Suppose -5*b + 71 = -n, b = -2*b + n + 43. What is the highest common divisor of b and r? 7 Suppose -110 = -c - 0*c. Let i be c/(-3)*((-45)/(-6))/(-5). Let v = -4 - -9. What is the greatest common divisor of v and i? 5 Suppose 5*x + 304 = 2229. Let v = 2089 + -2054. Calculate the highest common divisor of x and v. 35 Suppose -320*k + 289*k = -18662. What is the greatest common factor of 7 and k? 7 Let g be 5*(-1 + 7 - -11). What is the highest common factor of 102 and g? 17 Let q(y) = 9*y + 239. Let n be q(32). Calculate the greatest common divisor of 17 and n. 17 Suppose -7 = 9*j - 583. What is the highest common factor of j and 24? 8 Let m(w) = w**2 + 29*w + 157. Let x be m(-22). What is the greatest common factor of x and 141? 3 Let p(r) = 2*r**3 - 10*r**2 - 2*r + 36. Let o be p(9). Calculate the highest common factor of o and 74. 74 Let a be ((-276)/(-161))/((-3)/(-420)). What is the highest common divisor of 30 and a? 30 Let i = 250 - 219. Calculate the highest common factor of 341 and i. 31 Let t(i) = -5*i + 72. Let h be t(6). What is the highest common factor of h and 105? 21 Let a be -4 + ((-3)/6)/(1/(-6)). Let f(z) = 9*z**2 - 1. Let p be f(a). Calculate the highest common divisor of 1 and p. 1 Let w(g) = -g**2 - 5*g. Let q be w(-5). Let x = 7 - 5. Suppose -x*c + 36 = -q*c. What is the highest common factor of 2 and c? 2 Let t = 81 + -31. Suppose 131*c - 130*c = t. Calculate the highest common divisor of c and 10. 10 Suppose 0 = 7*m + 68 - 271. Let r(d) = -27*d - 13. Let b be r(-8). Calculate the greatest common factor of b and m. 29 Suppose 4*r = 15 - 3. Suppose -r*s = -4*s. Suppose s*q - q = -20. What is the highest common factor of q and 10? 10 Let x = -29 - -29. Suppose -3*k + 2*z = -43, -3*z - 15 = -x. Calculate the highest common divisor of k and 33. 11 Suppose 13 = 58*o - 62*o - 5*k, -32 = -4*o + 4*k. Let d = 13 + -7. Let i be 2/d*(1 + 2). Calculate the greatest common factor of i and o. 1 Let y be (1 + 3)*(-45)/(-2). Calculate the greatest common factor of y and 234. 18 Let w(i) = 7*i**2 + 2*i + 1. Let r be w(-1). Let m = r - -18. What is the highest common factor of 12 and m? 12 Let i = -1 - 2. Let r(s) = -2 + 4*s**2 + 3*s + 4*s**3 - s**3 - 2*s**3 + 3. Let p be r(i). Calculate the greatest common divisor of 2 and p. 1 Let r(l) = -l**3 - 15*l**2 - 21*l - 31. Let a be r(-14). Let y = a + -35. Calculate the greatest common factor of y and 288. 32 Let g(k) = 4*k**3 - 14*k**2 + k - 1. Let m be g(4). What is the greatest common divisor of m and 350? 35 Let r(p) = -2 + 1 - p + 0. Let l(d) = -3*d - 11. Let n(c) = l(c) - 6*r(c). Let j be n(2). What is the highest common divisor of 9 and j? 1 Let w be (-5404)/(-35) + (-4)/10. Let t be (-432)/(-30) + 6/(-15). Calculate the greatest common divisor of t and w. 14 Suppose -m + 27 = y, -424 + 439 = y - 5*m. Let w(z) = -2*z + 5. Let i be w(-5). Calculate the highest common divisor of y and i. 5 Let f = 2899 - 2773. Let k = -13 - -27. What is the greatest common factor of f and k? 14 Let q = 2 - -1. Suppose 0 = -q*i + 18 - 3. Let z = 1271 + -1246. What is the greatest common factor of i and z? 5 Suppose -2*i + 2*h - 5*h + 109 = 0, -4*h = -4*i + 268. Let w = i - 35. What is the greatest common factor of 27 and w? 27 Let c be (-7)/(7/205) - -5. Let i = 212 + c. Let p = 1 + 2. Calculate the greatest common factor of p and i. 3 Let l(n) = 3*n**2 - 7*n - 1. Let b be l(5). Let q(j) = 3*j**2 + 21*j + 96. Let r be q(-6). Calculate the greatest common factor of b and r. 39 Let x(t) = -14*t + 42. Let y be x(-17). Suppose l = -27 + 41. Calculate the greatest common factor of y and l. 14 Suppose 1189 = 3*o - 2*p - 535, 5*p - 1162 = -2*o. What is the greatest common factor of 24 and o? 24 Suppose -26*g + 50680 =
{ "pile_set_name": "DM Mathematics" }