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9 What is the hundreds digit of 837? 8 What is the units digit of 92? 2 What is the units digit of 6385? 5 What is the hundreds digit of 16135? 1 What is the tens digit of 53433? 3 What is the tens digit of 79967? 6 What is the units digit of 1889? 9 What is the thousands digit of 15880? 5 What is the hundreds digit of 5633? 6 What is the units digit of 85970? 0 What is the hundreds digit of 1835? 8 What is the thousands digit of 1446? 1 What is the units digit of 121988? 8 What is the hundreds digit of 90559? 5 What is the tens digit of 3650? 5 What is the units digit of 1223? 3 What is the ten thousands digit of 10355? 1 What is the thousands digit of 49345? 9 What is the thousands digit of 17080? 7 What is the units digit of 903? 3 What is the hundreds digit of 14720? 7 What is the thousands digit of 8841? 8 What is the units digit of 6971? 1 What is the hundreds digit of 1719? 7 What is the thousands digit of 23490? 3 What is the ten thousands digit of 79497? 7 What is the tens digit of 9058? 5 What is the tens digit of 10121? 2 What is the units digit of 4227? 7 What is the units digit of 2263? 3 What is the thousands digit of 82991? 2 What is the hundreds digit of 1186? 1 What is the units digit of 1267? 7 What is the units digit of 504? 4 What is the thousands digit of 15039? 5 What is the hundreds digit of 1253? 2 What is the tens digit of 2059? 5 What is the units digit of 1086? 6 What is the tens digit of 1295? 9 What is the thousands digit of 8857? 8 What is the ten thousands digit of 13961? 1 What is the thousands digit of 56161? 6 What is the ten thousands digit of 16075? 1 What is the thousands digit of 1327? 1 What is the thousands digit of 20497? 0 What is the ten thousands digit of 77981? 7 What is the units digit of 69605? 5 What is the units digit of 1022? 2 What is the hundred thousands digit of 122109? 1 What is the units digit of 804? 4 What is the hundreds digit of 3631? 6 What is the hundreds digit of 3321? 3 What is the units digit of 2324? 4 What is the tens digit of 4198? 9 What is the units digit of 5293? 3 What is the units digit of 8770? 0 What is the hundreds digit of 3229? 2 What is the units digit of 666? 6 What is the thousands digit of 2282? 2 What is the units digit of 49554? 4 What is the units digit of 1828? 8 What is the units digit of 1124? 4 What is the ten thousands digit of 170932? 7 What is the thousands digit of 1556? 1 What is the tens digit of 2950? 5 What is the tens digit of 492? 9 What is the tens digit of 255? 5 What is the hundreds digit of 1040? 0 What is the units digit of 357? 7 What is the units digit of 1197? 7 What is the thousands digit of 81586? 1 What is the tens digit of 4160? 6 What is the tens digit of 13211? 1 What is the hundreds digit of 1230? 2 What is the hundreds digit of 3093? 0 What is the thousands digit of 7630? 7 What is the tens digit of 640? 4 What is the units digit of 985? 5 What is the units digit of 8? 8 What is the hundreds digit of 52862? 8 What is the hundreds digit of 21206? 2 What is the thousands digit of 1098? 1 What is the tens digit of 3674? 7 What is the units digit of 54652? 2 What is the thousands digit of 1123? 1 What is the units digit of 10894? 4 What is the ten thousands digit of 23256? 2 What is the units digit of 766? 6 What is the ten thousands digit of 40624? 4 What is the hundreds digit of 38344? 3 What is the units digit of 914? 4 What is the hundreds digit of 1006? 0 What is the hundreds digit of 5438? 4 What is the units digit of 327? 7 What is the thousands digit of 1099? 1 What is the tens digit of 4064? 6 What is the units digit of 1412? 2 What is the units digit of 4540? 0 What is the units digit of 12911? 1 What is the ten thousands digit of 30901? 3 What is the tens digit of 449? 4 What is the tens digit of 52352? 5 What is the thousands digit of 1193? 1 What is the hundreds digit of 4830? 8 What is the ten thousands digit of 17624? 1 What is the hundreds digit of 33451? 4 What is the units digit of 1789? 9 What is the tens digit of 1188? 8 What is the units digit of 5593? 3 What is the tens digit of 958? 5 What is the hundreds digit of 7449? 4 What is the ten thousands digit of 70113? 7 What is the ten thousands digit of 29895? 2 What is the thousands digit of 2175? 2 What is the thousands digit of 49202? 9 What is the thousands digit of 120969? 0 What is the units digit of 78207? 7 What is the thousands digit of 4123? 4 What is the units digit of 21845? 5 What is the tens digit of 8370? 7 What is the units digit of 2508? 8 What is the tens digit of 304? 0 What is the hundreds digit of 10668? 6 What is the units digit of 149769? 9 What is the thousands digit of 5141? 5 What is the hundreds digit of 5544? 5 What is the hundreds digit of 32711? 7 What is the units digit of 11280? 0 What is the hundreds digit of 28175? 1 What is the tens digit of 6236? 3 What is the ten thousands digit of 29639? 2 What is the thousands digit of 116232? 6 What is the thousands digit of 6390? 6 What is the hundreds digit of 4244? 2 What is the thousands digit of 3525? 3 What is the units digit of 383? 3 What is the ten thousands digit of 132338? 3 What is the ten thousands digit of 16286? 1 What is the hundreds digit of 1336? 3 What is the tens digit of 116162? 6 What is the hundreds digit of 21127? 1 What is the units digit of 31844? 4 What is the ten thousands digit of 12191? 1 What is the units digit of 9388? 8 What is the units digit of 2863? 3 What is the thousands digit of 5280? 5 What is the units digit of 524? 4 What is the units digit of 2461? 1 What is the thousands digit of 2076? 2 What is the tens digit of 755? 5 What is the thousands digit of 1199? 1 What is the thousands digit of 14485? 4 What is the hundreds digit of 806? 8 What is the tens digit of 14617? 1 What is the tens digit of 77196? 9 What is the hundreds digit of 2453? 4 What is the thousands digit of 32480? 2 What is the units digit of 495? 5 What is the thousands digit of 4534? 4 What is the ten thousands digit of 33700? 3 What is the tens digit of 419? 1 What is the thousands digit of 2320? 2 What is the units digit of 676? 6 What is the units digit of 3310? 0 What is the tens digit of 3683? 8 What is the ten thousands digit of 14217? 1 What is the hundreds digit of 45013? 0 What is the ten thousands digit of 10778? 1 What is the units digit of 22304? 4 What is the hundreds digit of 7833? 8 What is the tens digit of 521? 2 What is the hundreds digit of 2875? 8 What is the hundreds digit of 2279? 2 What is the thousands digit of 4496? 4 What is the ten thousands digit of 60129? 6 What is the units digit of 5159? 9 What is the hundreds digit of 34664? 6 What is the hundreds digit of 6142? 1 What is the ten thousands digit of 42736? 4 What is the thousands digit of 16097? 6 What is the units digit of 24456? 6 What is the tens digit of 454? 5 What is the tens digit of 51277? 7 What is the tens digit of 6179? 7 What is the thousands digit of 85051? 5 What is the units digit of 1522? 2 What is the units digit of 2079? 9 What is the units digit of 2013? 3 What is the tens digit of 8724? 2 What is the tens digit of 1644? 4 What is the hundreds digit of 537? 5 What is the tens digit of 30745? 4 What is the tens digit of 891? 9 What is the thousands digit of 50048? 0 What is the thousands digit of 2827? 2 What is the thousands digit of 19786? 9 What is the hundreds digit of 42584? 5 What is the hundreds digit of 5700? 7 What is the tens digit of 942? 4 What is the tens digit of 70447? 4 What is the tens digit of 580? 8 What is the units digit of 1502? 2 What is the tens digit of 11546? 4 What is the thousands digit of 4248? 4 What is the thousands digit of 5862? 5 What is the hundreds digit of 873? 8 What is the ten thousands digit of 13334? 1 What is the tens digit of 568? 6 What is the units digit of 10743? 3 What is the tens digit of 537? 3 What is the units digit of 911? 1 What is the hundreds digit of 630? 6 What is the hundreds digit of 1573? 5 What is the ten thousands digit of 92752? 9 What is the units digit of 87770? 0 What is the units digit of 379? 9 What is the units digit of 9407? 7 What is the thousands digit of 3057? 3 What is the hundreds digit of 943? 9 What is the
{ "pile_set_name": "DM Mathematics" }
t k be (-2 + (-14)/(-4))*32/(-16). What is the remainder when m(k) is divided by 12? 6 Let c(k) be the first derivative of 3*k**2/2 + 24*k + 67. Suppose 5*h - 123 = 12. Calculate the remainder when h is divided by c(-3). 12 Let y be (6/3)/((-2)/2). Let f(s) = -9*s - 11. Calculate the remainder when f(y) is divided by 4. 3 Suppose -2*l + 1295 = 3*i - 163, i = -5*l + 499. What is the remainder when i is divided by 8? 4 Let m be 5/15 - 49/3. Let t be (-2116)/m + (-3)/12. Suppose -5*s = -158 - t. What is the remainder when s is divided by 21? 16 Let p = -32 - -55. Let j(c) = 62*c + 5831. Calculate the remainder when j(-90) is divided by p. 21 Let n = 1631 + -1590. What is the remainder when 4385 is divided by n? 39 Let u = -2023 - -2042. What is the remainder when 101 is divided by u? 6 Let b = 2346 + -598. What is the remainder when b is divided by 32? 20 Let q(a) = 3*a**2 - 4*a - a - 2*a**2. Calculate the remainder when 47/7 - (-14)/49 is divided by q(6). 1 Let t(n) = -n**3 - 63*n**2 + 55*n - 2134. What is the remainder when t(-66) is divided by 87? 83 Let u be (12/(-10) + 0)/(30/1125). Let i(c) = c**3 + 5*c**2 + 7*c + 2. Let k be i(-5). Let b = k - u. Calculate the remainder when 21 is divided by b. 9 Let b be ((-75)/6 - 1)/((-3)/6). Suppose 2*n + b = 5*t, -4*n + 6 = -5*t + 25. Calculate the remainder when 1 + (-6)/2 + 27 is divided by t. 4 Let d = 8370 + -7915. Calculate the remainder when d is divided by 137. 44 Suppose 0 = 4*x - 16*x + 60. Suppose -3*g = -0*k + 4*k - 41, -3*k - x*g = -17. What is the remainder when 27 is divided by k? 13 Suppose -473*a + 471*a = -l + 12, 0 = 2*l + 4*a. Calculate the remainder when 41 is divided by l. 5 Suppose -24*d = -36155 - 297853. Calculate the remainder when d is divided by 30. 27 Suppose -80*x + 265 = -775. What is the remainder when 3027 is divided by x? 11 Let w = -128 - -133. Suppose 5*d - 320 = -w*m, 7*d = 2*d - m + 340. What is the remainder when d is divided by 2/(-7) - (-142)/7? 9 Suppose 0 = 17910*d - 17902*d - 336. Let j = -466 + 669. Calculate the remainder when j is divided by d. 35 Let m(p) = -5*p + 83. Let n be (6/(-15))/(3/(-45)). Let w(o) = -o**3 + 7*o**2 - 3*o + 3. What is the remainder when w(n) is divided by m(15)? 5 Suppose 0 = -8*r - 972 + 3116. What is the remainder when r is divided by 141? 127 Let n = -2058 + 2106. What is the remainder when 34701 is divided by n? 45 Let v = -67 - -72. What is the remainder when 2/(v/(-100)*-5) - -3 is divided by 5? 1 Let k = 461 - 449. Suppose 5*s - 129 = -0*d + 3*d, 0 = -4*d - k. What is the remainder when 61 is divided by s? 13 Let u = 83 + -64. Suppose u*p - 918 = 108. What is the remainder when p is divided by 14? 12 Let n(w) = -2*w**3 - 16*w**2 - 14*w + 2. Let t be n(-7). Suppose 660 = -t*j + 12*j. What is the remainder when j is divided by 34? 32 Let o be (-34)/(1 + (-2 - 0)). Let q = 36 - o. Suppose 47 = 3*f - 4*j, j = -q*f - 3*j + 18. What is the remainder when 38 is divided by f? 12 Let x be (-12)/4 + 102/2. Suppose -x = 5*u - 17*u. What is the remainder when 54 is divided by u? 2 What is the remainder when 872 is divided by 1960/(-168)*36/(-21)? 12 Let b = 3 - 0. Suppose -b*w + 432 = 5*x, 5*x - 3*w - 156 = 3*x. Calculate the remainder when x is divided by (-1)/2*(-68 - -24). 18 Let a = -357 + 375. Suppose -6*p + a = -5*p + y, 78 = 3*p - 3*y. What is the remainder when 172 is divided by p? 18 Let j(n) = 3*n - 4. Let x(z) = -3*z + 26. Calculate the remainder when x(3) is divided by j(3). 2 Let r(t) = -8*t - 70. Let w be r(-9). Suppose w*d + 1153 = 5*j, -21*j + 23*j - 3*d = 459. Calculate the remainder when j is divided by 20. 11 Let w = 46 + -41. Suppose 2*o - 3122 = -w*o. What is the remainder when 154 is divided by (12/42 + o/(-42))*-3? 30 Let c be ((-8)/10)/((-6)/(-60)). Let y = c + 10. Suppose 4*o + 7*i + 1 = 10*i, 3*i - 13 = -2*o. Calculate the remainder when y is divided by o. 0 Let n be ((2 + -1)/2)/((-5)/(-240)). Let t be (0 - -2)/(n/(-60)). Calculate the remainder when t*(12/(-10))/(14/63) is divided by 14. 13 Let j(h) = -h**3 + 7*h**2 - h - 5. Let m be j(7). Let w = -1107 - -1105. What is the remainder when 27 is divided by 21/m - w - (-27)/4? 6 Let v(n) = n**3 - 4*n**2 + 6*n - 4. Let x be v(3). Calculate the remainder when 15 is divided by ((-9)/x)/((-33)/110). 3 Let o = -1397 + 1516. Suppose -h = 3*l - l - 42, 0 = -3*l - 2*h + 63. What is the remainder when o is divided by l? 14 Let k(f) = 2*f**2 - 16. What is the remainder when 450 is divided by k(6)? 2 Let v(o) be the first derivative of o**4/4 + o**2/2 + 51*o - 13. Calculate the remainder when v(0) is divided by 39*(6/(-2) + 22/6). 25 Let l be -84*(12/(-36) + (-5)/(-6)). Let v = l - -44. What is the remainder when 12 is divided by v? 0 Let u(w) = 3*w**2 - 12*w - 19. Let q be ((-582)/114)/1 - (-4)/38. What is the remainder when u(q) is divided by 13? 12 Let f = -4439 - -4454. Calculate the remainder when 1676 is divided by f. 11 Let p(v) = 166*v**2 - 3*v - 5. What is the remainder when p(-2) is divided by 37? 36 Suppose -2*x + 5 = -29. Suppose 735*w - 731*w - 26 = -2*s, 0 = -10*w + 40. What is the remainder when x is divided by s? 2 Let o(l) = -6*l**3 + 2*l**2 + 6*l - 4. Let v(y) = -5*y**3 + 3*y**2 + 7*y - 5. Let g(i) = 3*o(i) - 4*v(i). What is the remainder when g(5) is divided by 10? 8 Suppose 2*h + 10 = 0, -14*h - 31 = -x - 10*h. What is the remainder when 4*1*(-43)/(-4) is divided by x? 10 Let t = 22 + -120. Let l = t + 147. Calculate the remainder when l is divided by 36. 13 Let c(m) = -m**2 - 6*m + 8. Let a(t) = -26 - 4 - 1 + 1355*t + t**2 - 1356*t. What is the remainder when a(-10) is divided by c(-6)? 7 Calculate the remainder when 574 is divided by (621/12 - -1) + 25/100. 44 Let i(k) = 8*k**2 - k + 1. Let v be i(-1). Suppose -22 - 48 = -v*q. What is the remainder when 16 is divided by q/((-245)/(-10)) - (-12)/7? 0 Let k(w) = 29*w - 1633. Calculate the remainder when k(64) is divided by 64. 31 Let o(m) = -3*m**3 + 20*m**2 + 46*m + 7. Calculate the remainder when o(-3) is divided by 71. 59 Let p = 2595 - 1691. Suppose 0 = -9*g + p - 58. Calculate the remainder when g is divided by ((-18 - 1) + 3)*-2. 30 Let p(d) = -d + 20. Let m be p(13). Suppose 9*i = 115 - m. Calculate the remainder when i is divided by ((-12)/(-10))/(((-8)/60)/(-1)). 3 Suppose 190*q + 3033 = 199*q. Let t = q + -303. What is the remainder when 112 is divided by t? 10 Let r = 9 + -7. Suppose -r*f + 314 = -0*f. Suppose 17128*x - 17082*x - 1886 = 0. What is the remainder when f is divided by x? 34 Suppose 4858*p + 86 - 1042 = 4856*p. Calculate the remainder when 975 is divided by p. 19 Let o(a) = -4*a**3 - 144*a**2 + 81. What is the remainder when o(-36) is divided by (-981)/(-36) - (-6)/8? 25 Let u = -292 - -532. Let s = -42 - -44. Suppose 5*h - 2*h - 368 = -2*p, 4*p = -s*h + u. Calculate the remainder when h is divided by 42. 40 Let r(s) = -s**3 + s**2 - 7*s - 34. Let b be r(-4). Let h = b - 13. What is the remainder when h is divided by 17? 10 Let z(v) = -963*v + 6764. Calculate the remainder when 6576 is divided by z(7). 21 Let g(r) = 2*r**3 - r**2 + 13*r + 8. Let v be g(6). Suppose v = -5*i - 748. Calculate the remainder when (i*(-1 + (3 - 3)))/2 is divided by 42. 39 Suppose 101*r - 13916 = 30*r. Calculate the remainder when r is divided by 70. 56 Suppose -d - d + 4*t = 10, 0 = 2*t - 8. Let o(h) = 3*h**2 + 2*h - 26. What is the remainder when 15 is divided by o(d)? 1 Suppose -3938*o = -3923*o - 27 - 423. What is the remainder when 295 is divided by o? 25 Suppose 20*b = 603 + 937. Let f = -27 - -29. Suppose -j = -f*d - 37, -22 - 37 = -2*j + d. What is the remainder when b is divided by j? 23 Suppose 5*z - 3*j + j - 11179 = 0, -4*z - j = -8938. Suppose 5*v + 4*d - z = 3*d, 0 = 4*d. What is the remainder when v is divided by 32? 31 Suppose 4*c - 341 = 5*z, -2*z + 44 - 394 = -4*c. What is the remainder when c is divided by 28? 5 Let h = -59 + 60. Let y be (-21 + h)/(20/(-10)). Suppose -8 - y = -3*w. What is the remainder when w is divided by 4? 2 Let b be 644 + -2*(4 - 3). Suppose -8*z + 202 = b. Let u = 140 + z. Calculate the remainder when u is divided by 22. 19 Let h = 23 + -21. Suppose -3*d - h*p = -17, 2*p + 1 = -3. Suppose -d*k + 5*o = -2*k - 30, 3*o = -4*k - 11. What is the remainder when
{ "pile_set_name": "DM Mathematics" }
Let h = 304355 - 3345355/11. Let i = h - 232. Let r = -0.9 - 0.1. Sort i, r, 1 in increasing order. r, i, 1 Let w be 3 + -2 + 0 + 2. Put w, 0, 1 in descending order. w, 1, 0 Let h = -65 + 67. Put h, 0, 5, 3 in descending order. 5, 3, h, 0 Let g = 54 - 217/4. Let f = 4 - 7. Sort f, -1/5, g in decreasing order. -1/5, g, f Suppose 5*h + 6 = -2*u, -2*u + 19 = -u - 3*h. Let l be (u/((-7)/(-4)))/(-1). Put 2/9, 2, l in decreasing order. 2, 2/9, l Let h = 361254585816554538709/622362 - 580457331611898. Let n = h + -1/47874. Let o = 144 + n. Put 1/2, o, -2/3 in ascending order. -2/3, o, 1/2 Let i = 17.1 - 19.03. Let l = 0.07 - i. Put l, -1/8, 1/6 in ascending order. -1/8, 1/6, l Let c be ((-3)/(-4))/((-6)/4). Let t = 527/15 + -35. Let y = 0.16 + 3.84. Sort y, t, c in descending order. y, t, c Suppose -4*b = -0 - 12. Sort -5, b, 0 in decreasing order. b, 0, -5 Let i = 0.06 + -0.04. Let o = i - 0.22. Let b = -0.5 - 1.5. Put -0.4, o, b in decreasing order. o, -0.4, b Let x(u) = u**3 + 22*u**2 + u + 25. Let r be x(-22). Sort -4, r, 5, -2. -4, -2, r, 5 Let i = 0.74 + -0.34. Sort -5, -0.5, i in descending order. i, -0.5, -5 Let f = -3.86 + -0.14. Sort f, 0, -3 in descending order. 0, -3, f Suppose -2*i + 13 + 3 = 0. Put i, 5, 3 in ascending order. 3, 5, i Suppose -12*c = 12 - 0. Suppose -2*h + h = 0. Put c, h, -4 in descending order. h, c, -4 Suppose 0*b - 18 = l + 5*b, 5*l = 4*b + 26. Let c be 1/(-2)*6/(-3). Let x be c/(-3)*(1 + -1). Put 4, l, x in increasing order. x, l, 4 Let m = -9 + 9. Let v = -0.09 - 4.91. Sort v, m, -4. v, -4, m Let b = 8 + -4. Let j = -2/57 - -521/228. Let n = 2 - j. Sort n, b, -3 in decreasing order. b, n, -3 Suppose 0 = 4*g + 2 + 18. Sort -0.1, g, 4 in descending order. 4, -0.1, g Let o be (0 + -1)*-7 + -2. Suppose 4*i + 12 = -2*k, 3*i - 2*k + 6 = i. Put o, i, -7 in ascending order. -7, i, o Suppose -t + 2*g = g + 1, 2*t - 1 = -g. Let h = -3 - -4. Put 5, h, t in decreasing order. 5, h, t Let t = 2.3 - 0.3. Let y be (-5)/20 - 9/60. Put y, -3, t in ascending order. -3, y, t Suppose 3*b + 6 = -0*b. Sort -4, b, 2, 4. -4, b, 2, 4 Suppose -5*q + 5 = -0. Let o(g) = g + 6. Let m be o(-3). Put 4, q, m in descending order. 4, m, q Let k(t) = 2*t + 13. Let s be k(-8). Put 1, 2, s in increasing order. s, 1, 2 Let d = 5.15 - 3.08. Let g = -0.07 + d. Let u = 3/7 + -25/42. Put g, u, -2 in decreasing order. g, u, -2 Let a be (-2)/(1/(1/2)). Suppose 4*f = -2*x + 8, 3*x + 0*f + f = 7. Suppose 3*q + 2*j + 12 = -3, 5*q + 21 = -x*j. Put a, q, -4 in ascending order. -4, q, a Suppose -3*j = 2*n + 2, 0*n - 4*n + 18 = -5*j. Put 2, 5, j in descending order. 5, 2, j Suppose 0 + 4 = -4*a. Let l be 4/7 + (-21)/(-49). Sort l, 5, a in descending order. 5, l, a Let j = -9 - -6. Let s = -0.05 + 1.45. Let l = s - 1. Sort j, -4, l in descending order. l, j, -4 Let y = 7 + -7.03. Let n = 4.33 + -6.3. Let t = n + y. Sort t, -4, -3/4. -4, t, -3/4 Let x(h) = h**2 + 3*h - 4. Let k be x(-3). Sort k, -1, 1 in decreasing order. 1, -1, k Let x = 3 + 0. Let f be (-358)/(-9) + 2/9. Suppose 0 = -4*o - 15 - 5, -4*u + 4*o = -f. Sort 2, u, x in increasing order. 2, x, u Suppose a - 2 = 1. Suppose 5*g - 23 = 5*x + 12, 0 = 4*x + 5*g - 17. Put a, x, -4 in descending order. a, x, -4 Let i = -43 - -43. Sort i, -3, 5, 3 in descending order. 5, 3, i, -3 Let g = -2 + 2.4. Let p = -0.07 - -0.27. Put -0.2, p, g in ascending order. -0.2, p, g Let p = -5.49 + 0.49. Sort 4/5, p, -4 in increasing order. p, -4, 4/5 Let u(v) be the second derivative of -v**4/12 + 5*v**3/6 - 4*v. Let h be u(5). Sort -1/3, 4, h in increasing order. -1/3, h, 4 Let v(l) = -2*l - 15. Let j be v(-7). Put -2, j, 4, 0 in increasing order. -2, j, 0, 4 Let v = -11.78 + -0.22. Sort 4, v, 1/5 in decreasing order. 4, 1/5, v Let p = 2 + -5. Let f = 0.03 + -0.23. Put p, -2, f in decreasing order. f, -2, p Let g = 46 + -137/3. Sort 2, g, -2, -0.5 in increasing order. -2, -0.5, g, 2 Suppose -h - 5 = -0*h. Let r be 2/6 + h/15. Let g = -4 + 0. Put -5, r, g in decreasing order. r, g, -5 Let p be (0*3/12)/1. Suppose -4*o = -4*z - 8 - p, -3*z = 3*o + 12. Put 1, -5, z in decreasing order. 1, z, -5 Let y(z) = z**2 + 5*z - 15. Let l be y(-7). Sort -2, 1, l, -5. -5, -2, l, 1 Let g = 6.2 - 5.2. Put g, 3/4, -10 in descending order. g, 3/4, -10 Suppose 0*l - 6 = -3*l. Let k(h) = -h**2 + 1 - 8 - l*h - 4*h. Let u be k(-5). Put -5, u, -4 in decreasing order. u, -4, -5 Let o = 4 + -8. Let c = 0.013 - 0.323. Let g = c - -0.01. Put o, g, 3 in ascending order. o, g, 3 Let p be 5 - 0/(0 + -2). Let f = 26 - 18. Let a be (-1)/((-4)/f - -1). Sort a, 0, p in decreasing order. p, 0, a Let o = 98 + -97. Put o, -3, 11 in increasing order. -3, o, 11 Suppose 22 = -4*c + 5*q + 7, -4*c + 4*q - 16 = 0. Sort c, -9, -1 in increasing order. -9, c, -1 Let d(k) = k**2 + 7*k + 9. Let a be d(-5). Put -0.6, a, -0.5 in decreasing order. -0.5, -0.6, a Let z(x) be the first derivative of x**4/4 + 7*x**3/3 - 5*x**2 - 12*x - 1. Let b be z(-8). Let f = -8 - -5. Sort f, b, -1 in decreasing order. b, -1, f Let c be (-1)/7 - (-150)/21. Suppose 0 = -3*k - 2 - c. Let s = 2 - 1. Sort s, 0, k in increasing order. k, 0, s Suppose -3*a + u + 11 = 0, -4*u + 2*u + 28 = 4*a. Let f = a - 5. Suppose 5*d + 12 + 8 = f. Sort d, -5, 3 in decreasing order. 3, d, -5 Suppose -f + 4*t = 14 + 8, 2*f + 3*t - 11 = 0. Let h = 1 + -6. Sort -4, f, h. h, -4, f Let g be (-1)/(((-6)/2)/3). Suppose 5 = -p - s, s = 2*p + 1 + 6. Let y = -5 + 2. Put y, p, g in ascending order. p, y, g Let j be 266/(-10) - (78/(-30) - -2). Sort j, 4, -2, 2 in ascending order. j, -2, 2, 4 Let l = 12.9 - 13.1. Put l, 0.01, -0.7 in descending order. 0.01, l, -0.7 Suppose -5 = k, 8 = 4*h - 5*k + k. Sort 0, -5, h in ascending order. -5, h, 0 Let b be (2 + 0)*6/36. Let g = 9 + -8.6. Put b, g, 2/17 in ascending order. 2/17, b, g Let a(q) = q**3 + 2*q**2 - 5*q - 4. Let y be a(-3). Suppose -7*x + 4*x - 3 = 3*n, -3*n = -2*x + 3. Sort y, 4, n in decreasing order. 4, y, n Let o = -11 + 14. Suppose -o*v - 2 = 7. Sort 0, -7, v in ascending order. -7, v, 0 Suppose 3*b + 4 = c + 18, -2*c - 5*b = -5. Put -2, 4, c in increasing order. c, -2, 4 Let z(l) = l**2 - 5*l - 4. Let u be z(6). Let a be (2/(-4))/((-1)/u). Suppose -5*k + h - 8 = -23, k = 3*h - 11. Put k, -4, a in descending order. k, a, -4 Let c = 0.26 + -0.16. Sort -0.4, c, -5 in increasing order. -5, -0.4, c Suppose -3 = z - 1. Let g be ((-25)/2)/(-5)*z. Let q = -3 + 4. Put -4, q, g in decreasing order. q, -4, g Let v = -0.14 - -0.12. Put v, 2, 2/11 in decreasing order. 2, 2/11, v Let n(o) = o**3 - 4*o**2 + 5*o - 1. Let m be n(2). Put -25, -2, m in descending order. m, -2, -25 Let h(r) = r - 2. Let a be h(7). Sort a, -2/7, 3 in decreasing order. a, 3, -2/7 Let q = -40.4 - -40. Sort -0.3, q, 1/5, -3. -3, q, -0.3, 1/5 Suppose 2*o + 16 = -3*w, -3*w = w + 3*o + 23. Let x be 3 + (-6)/(6/w). Put x, 1, -2/11 in descending order. x, 1, -2/11 Let s(t) = t**3 - 5*t**2 - 2*t - 4. Let l be s(5). Let i be (-21)/l*4/(-3). Put i, 5, -3 in ascending order. -3, i, 5 Let d(t) = 47*t + 1. Let j be d(3). Let n = j - 1564/11. Let b be 8/(-70) - (-2)/5. Sort 0.4, b, n. n, b, 0.4 Suppose 0 = -5*t + 2*v - 0*v + 19, v - 8 = -t. Let a be (1 - (-8)/4) + -1. Let l = -2 - a. Sort t, 3, l in ascending order. l, 3, t Let k = 7 + -4. Suppose -j + 13 = k*z, j - 2*z - 6 = -2*j. Let h = -4 + 3. Sort h, j, -5 in descending order. j, h, -5 Let v = 3 + -3. Suppose -3*p - 1 + 7 = v. Sort p, -5, 5 in decreasing order. 5, p, -5 Let r(b) = -b**2 - 8*b - 5. Let w be r(-7). Let g = 4 - 0. Put 5, g, w in ascending order. w, g, 5 Let k = -27 - -23. Put 0, k, 1 in descending order. 1, 0, k Let r = 2.1 + -2.2. Suppose 2*i + 10 = -3*i. Put i, -3/5, r in descending order. r, -3/5, i Let j be 4 - (6 + (-1 - 1)). Let u(b) = b + 2. Let h be u(1). Sort -1, h, j in ascending order. -1, j, h Let y(h) = 2 + 1 + h**2 - 2*h**2 + 5 - 4*h. Let g be y(-6). Put -3, 5, g in decreasing order. 5, -3, g Let q(n) = -n**3 - 3*n**2 - n + 1. Let y be q(-3). Sort y, -4, -2 in descending order. y, -2, -4 Let p = 4.93 - -0.07. Let k = 0.1 - 0.5. Sort k, 4, p in descending order. p, 4, k Let n = 0.02 - 0. Let v = n + 0.48. Sort v, 1, -3. -3, v, 1 Let d = -0.169 + 0.169. Let r = 12 + -18. Sort r, d, 0.1. r, d, 0.1 Let y be (-9 - -1)*1/(-8). Sort -1, y, -2
{ "pile_set_name": "DM Mathematics" }
0. (r + 2)*(r + 8)*(r + 45)/6 Suppose l**2/4 - 145*l/2 - 596 = 0. Calculate l. -8, 298 What is q in q**5 - 45*q**4 - 458*q**3 - 1476*q**2 - 1928*q - 864 = 0? -4, -2, -1, 54 Suppose -10*l**3 + 1184*l**2 - 10282*l + 3924 = 0. What is l? 2/5, 9, 109 Factor -2*f**2/5 - 1056*f/5 - 20696. -2*(f + 130)*(f + 398)/5 Suppose -o**5/2 + 5*o**4/2 + 13*o**3/2 - 77*o**2/2 + 30*o = 0. Calculate o. -4, 0, 1, 3, 5 Determine q, given that 3*q**5 - 375*q**4 + 15429*q**3 - 202893*q**2 - 387600*q + 5306700 = 0. -5, 5, 38, 49 Factor 2*f**5 + 308*f**4 + 5360*f**3. 2*f**3*(f + 20)*(f + 134) Factor 5*h**2 - 1662923*h - 665170. (h - 332585)*(5*h + 2) Let 10*w**5/7 - 96*w**4/7 - 50*w**3/7 + 1776*w**2/7 - 968*w/7 - 96 = 0. What is w? -4, -2/5, 1, 6, 7 Find t such that 4*t**4 - 39748*t**3 + 158944*t**2 - 158928*t = 0. 0, 2, 9933 Factor 2*v**3/7 - 510*v**2 + 1594896*v/7 - 1591328/7. 2*(v - 892)**2*(v - 1)/7 Factor 2*z**2 + 2534884*z + 803204611682. 2*(z + 633721)**2 Determine v so that 5*v**5 + 275*v**4 + 4970*v**3 + 32420*v**2 + 66440*v + 38720 = 0. -22, -8, -2, -1 Factor 3*b**3 - 5487*b**2 + 27378*b - 32832. 3*(b - 1824)*(b - 3)*(b - 2) Determine m so that -2*m**2/9 + 64*m/3 + 5474/9 = 0. -23, 119 Factor -2*b**2/3 - 548*b - 3264. -2*(b + 6)*(b + 816)/3 Determine q so that q**3/4 - 229*q**2/4 - 6785*q + 35325 = 0. -90, 5, 314 Factor 22*t**2/7 + 204076*t/7 + 37104/7. 2*(t + 9276)*(11*t + 2)/7 Suppose 6*i**2/5 + 123288*i/5 - 49320 = 0. What is i? -20550, 2 Solve 24*k**5 + 207*k**4 - 9681*k**3 + 3600*k**2 = 0 for k. -25, 0, 3/8, 16 Factor -4*q**4 + 368*q**3. -4*q**3*(q - 92) Find a, given that a**2/3 + 20414*a/3 + 104182849/3 = 0. -10207 Factor 1012*f**2 - 8904*f/5 + 2752/5. 4*(5*f - 2)*(253*f - 344)/5 Suppose -2*o**4/15 - 1282*o**3/15 - 44084*o**2/3 - 4676672*o/15 + 3415104/5 = 0. Calculate o. -308, -27, 2 Factor 5*t**3 - 6640*t**2 - 26620*t - 26640. 5*(t - 1332)*(t + 2)**2 Let 5*r**5 - 116*r**4/3 + 43*r**3/3 + 230*r**2/3 + 56*r/3 = 0. What is r? -1, -4/15, 0, 2, 7 Determine u so that -3*u**3/2 - 75*u**2/2 + 3603*u/2 + 3675/2 = 0. -49, -1, 25 Suppose -2*u**3/5 + 4112*u**2/5 - 16424*u/5 + 16416/5 = 0. What is u? 2, 2052 Factor -2*x**5 + 6446*x**4 - 5190640*x**3 - 5197088*x**2. -2*x**2*(x - 1612)**2*(x + 1) Factor 1286*l**2/17 + 6424*l/17 - 30/17. 2*(l + 5)*(643*l - 3)/17 Determine w so that -w**5 + 50392*w**4 - 50389*w**3 - 100782*w**2 = 0. -1, 0, 2, 50391 Factor 4*a**5 + 900*a**4 + 2676*a**3 + 2668*a**2 + 888*a. 4*a*(a + 1)**3*(a + 222) Let 2*g**4/5 - 114*g**3/5 + 34*g**2 + 570*g - 1100 = 0. Calculate g. -5, 2, 5, 55 Factor -3*l**3/2 + 1125*l**2/2 - 74061*l/2 + 1355211/2. -3*(l - 297)*(l - 39)**2/2 Factor 5*a**3 + 840*a**2 + 25155*a. 5*a*(a + 39)*(a + 129) Solve 20*x**4 - 18*x**3 + 4*x**2 = 0. 0, 2/5, 1/2 Factor -3*v**3 - 75*v**2 + 17064*v - 377136. -3*(v - 36)**2*(v + 97) Factor 2*a**2 + 3654*a + 114880. 2*(a + 32)*(a + 1795) Find l such that -l**2 - 74014*l - 1369518049 = 0. -37007 Determine q, given that -12*q**4 + 1240*q**3 - 34012*q**2 + 101200*q - 30000 = 0. 1/3, 3, 50 Determine h so that -2*h**3 - 226*h**2 + 41588*h - 82256 = 0. -212, 2, 97 Determine s so that 2*s**4 + 122*s**3/5 - 182*s**2/5 - 5658*s/5 - 12852/5 = 0. -9, -7, -3, 34/5 What is q in 6*q**4/7 - 76*q**3 + 3338*q**2/7 - 676*q - 1968/7 = 0? -1/3, 3, 4, 82 Let 5*y**4 - 175*y**3 + 1305*y**2 + 1855*y - 2990 = 0. Calculate y. -2, 1, 13, 23 Determine s, given that 2*s**5/5 - 73*s**4/5 + 719*s**3/5 - 206*s**2 - 2944*s/5 - 224 = 0. -1, -1/2, 4, 14, 20 Factor -361*q**3/2 + 135261*q**2/2 - 6368700*q + 6301250. -(q - 1)*(19*q - 3550)**2/2 Factor 2*r**3 + 154*r**2 - 476*r + 320. 2*(r - 2)*(r - 1)*(r + 80) Find a, given that -a**4 - 51*a**3 + 1146*a**2 - 776*a - 6528 = 0. -68, -2, 3, 16 Solve d**2 - 9594*d + 23011209 = 0 for d. 4797 What is u in u**2/5 + 344882*u/5 + 29735898481/5 = 0? -172441 Let -2*v**4/7 - 24*v**3/7 - 6*v**2/7 + 416*v/7 - 384/7 = 0. Calculate v. -8, 1, 3 Factor 4*i**3 - 20652*i**2 + 82560*i - 82544. 4*(i - 5159)*(i - 2)**2 Find a, given that -2*a**2/3 - 850*a + 424704 = 0. -1659, 384 Suppose -y**4/3 - 4309*y**3/3 + y**2 + 12925*y/3 - 8618/3 = 0. What is y? -4309, -2, 1 Find l, given that l**4 + 3821*l**3 - 3852*l**2 - 114660*l = 0. -3822, -5, 0, 6 Determine l so that 8*l**3 + 114*l**2 + 28*l = 0. -14, -1/4, 0 Factor -2*p**2/7 + 222570*p/7 + 31796. -2*(p - 111286)*(p + 1)/7 Solve 2*q**2 - 186770*q - 560328 = 0. -3, 93388 Find g such that -3*g**3 + 1044294*g**2 = 0. 0, 348098 Factor -g**2/5 - 13257*g/5 - 53012/5. -(g + 4)*(g + 13253)/5 Suppose 8*q**2 - 197668*q + 98832 = 0. Calculate q. 1/2, 24708 Solve 93*m**5/7 - 2553*m**4/7 + 8109*m**3/7 - 9939*m**2/7 + 5298*m/7 - 144 = 0 for m. 14/31, 1, 24 Find g such that 2*g**3 - 4188*g**2 + 2184018*g + 8803208 = 0. -4, 1049 What is c in 2*c**3 - 410*c**2 + 1614*c - 1206 = 0? 1, 3, 201 Factor -2*y**2/23 - 88324*y/23 - 264954/23. -2*(y + 3)*(y + 44159)/23 Find s such that 4*s**5 - 32*s**3 + 64*s = 0. -2, 0, 2 Factor f**2 + 3858*f - 3859. (f - 1)*(f + 3859) Find t such that t**4/2 + 11639*t**3/2 - 58213*t**2/2 + 81505*t/2 - 17466 = 0. -11644, 1, 3 Let -16*m**3/3 + 20788*m**2/3 + 31210*m/3 + 10406/3 = 0. What is m? -1, -1/2, 5203/4 Factor 35*z**3 + 7349*z**2/6 + 31465*z/6 - 25. (z + 5)*(z + 30)*(210*z - 1)/6 Solve w**2/5 - 1736*w/5 + 3452 = 0 for w. 10, 1726 Determine w, given that -2*w**4 - 188*w**3 + 4922*w**2 + 10580*w = 0. -115, -2, 0, 23 Find w, given that -6*w**5 - 81218*w**4 - 27066*w**3 + 81218*w**2 + 27072*w = 0. -13536, -1, -1/3, 0, 1 Determine i so that -5*i**3/3 + 5732*i**2/9 - 6479*i/9 + 254/3 = 0. 2/15, 1, 381 Factor 3*k**4/2 - 138*k**3 - 3*k**2/2 + 138*k. 3*k*(k - 92)*(k - 1)*(k + 1)/2 Suppose -2*z**2 - 7394*z - 263592 = 0. Calculate z. -3661, -36 Let 84*z**4 + 2980*z**3 - 22788*z**2 + 34556*z + 14160 = 0. Calculate z. -295/7, -1/3, 3, 4 Factor -41*d**3 - 45*d**2 + 3726*d. -d*(d - 9)*(41*d + 414) Suppose -2*a**5/7 - 150*a**4/7 + 186*a**3/7 + 2614*a**2/7 + 2280*a/7 = 0. What is a? -76, -3, -1, 0, 5 Find k such that 12*k**4 + 561*k**3 - 789*k**2 - 3294*k + 864 = 0. -48, -2, 1/4, 3 Find j, given that 4*j**3/9 - 483152*j**2/3 + 43769705980*j/3 - 262612438088/9 = 0. 2, 181181 Let 4*d**3 - 21176*d**2 + 105804*d - 126936 = 0. Calculate d. 2, 3, 5289 Suppose -h**2/9 - 33659*h/9 + 67322/9 = 0. Calculate h. -33661, 2 Factor o**4 + 5192*o**3 + 6734018*o**2 - 13504400*o - 20233227. (o - 3)*(o + 1)*(o + 2597)**2 Determine o so that -2*o**2/7 + 372*o/7 - 7776/7 = 0. 24, 162 Factor -z**3/2 - 78*z**2 - 2706*z + 26896. -(z - 8)*(z + 82)**2/2 Let -3*h**5/2 + 659*h**4/6 - 4795*h**3/6 - 401*h**2/2 + 7330*h/3 + 5200/3 = 0. Calculate h. -1, 20/9, 8, 65 Determine n, given that -10418*n**2 + 20840*n - 8 = 0. 2/5209, 2 Factor -2*v**3/9 - 2356*v**2/3 - 2354*v. -2*v*(v + 3)*(v + 3531)/9 Determine p so that -10*p**2/19 + 98728*p/19 - 78976/19 = 0. 4/5, 9872 Factor -4*h**2 - 328*h + 9660. -4*(h - 23)*(h + 105) Solve 3*q**2/2 - 32505*q/2 - 48771 = 0 for q. -3, 10838 Factor -3*l**2 + 60*l + 17487. -3*(l - 87)*(l + 67) Factor -2*w**4/15 - 166*w**3/5 + 1014*w**2/5 - 306*w. -2*w*(w - 3)**2*(w + 255)/15 Let 3*x**5/2 + 5097*x**4/2 + 1078629*x**3 - 3281841*x**2 - 19415565*x/2 + 58660281/2 = 0. What is x? -851, -3, 3 Determine i, given that -4504*i**5 + 9028*i**4 - 4544*i**3 + 20*i**2 = 0. 0, 5/1126, 1 Factor -5*o**4 + 140*o**3 - 945*o**2 + 1710*o. -5*o*(o - 19)*(o - 6)*(o - 3) Factor 2*p**3/9 + 13514*p**2/9 - 81170*p/9 - 94682/9. 2*(p - 7)*(p + 1)*(p + 6763)/9 Suppose 20*n**5 - 1042*n**4/3 - 4438*n**3/3 - 3076*n**2/3 + 936*n + 336 = 0. What is n? -2, -3/10, 2/3, 21 Let 3*z**4 - 1263*z**3 - 2535*z**2 - 1269*z = 0. What is z? -1, 0, 423 Let -u**2/7 - 47422*u/7 - 562211521/7 = 0. Calculate u. -23711 Factor -7*h**3 - 13249*h**2 + 17044*h - 3788. -(h - 1)*(h + 1894)*(7*h - 2) Solve 4*j**5/7 - 5468*j**4/7 + 1876872*j**3/7 - 5592400*j**2/7 + 3720992*j/7 = 0 for j. 0, 1, 2, 682 Suppose -c**5 + 2441*c**4 - 48472*c**3 + 125412*c**2 + 1161504*c + 1394496 = 0. Calculate c. -2, 12, 2421 Factor -5*y**4 + 385*y**3 - 2155*y**2 + 1775*y. -5*y*(y - 71)*(y - 5)*(y - 1) What is i in 20*i**4 - 14804*i**3 + 32464*i**2 + 5936*i - 23616 = 0? -4/5, 1, 2, 738 What is i in -4*i**4/7 - 236*i**3/7 + 76*i**2/7 + 4364*i/7 - 7080/7 = 0? -59, -5, 2, 3 Determine w so that -2*w**5/17 + 162*w**4/17 - 2450*w**3/17 -
{ "pile_set_name": "DM Mathematics" }
/220 Two letters picked without replacement from {s: 4, p: 4, x: 2}. What is prob of sequence xp? 4/45 Four letters picked without replacement from {x: 2, t: 1, u: 1, s: 2, m: 2}. What is prob of sequence mssm? 1/420 What is prob of sequence zp when two letters picked without replacement from {c: 1, p: 1, n: 1, z: 2, v: 1, q: 2}? 1/28 Calculate prob of sequence jiao when four letters picked without replacement from iasaaaasssajoss. 1/5460 Calculate prob of sequence ttx when three letters picked without replacement from {x: 3, t: 4}. 6/35 Three letters picked without replacement from xqxoqookqkogkkkqhoxk. What is prob of sequence kqg? 1/285 What is prob of sequence aaf when three letters picked without replacement from {f: 1, a: 9, c: 4, w: 2}? 3/140 Calculate prob of sequence mama when four letters picked without replacement from ammmmma. 1/21 Four letters picked without replacement from kcbbbccckbbkckkbbkkb. What is prob of sequence kkbk? 14/969 Three letters picked without replacement from bbbfbzfppppbb. What is prob of sequence pbz? 2/143 Two letters picked without replacement from {x: 1, m: 1, u: 1, c: 2}. Give prob of sequence mm. 0 Two letters picked without replacement from {o: 2, a: 5}. What is prob of sequence aa? 10/21 Four letters picked without replacement from zzxxz. Give prob of sequence zzxz. 1/10 Two letters picked without replacement from uouo. Give prob of sequence uu. 1/6 What is prob of sequence zs when two letters picked without replacement from {z: 2, o: 3, x: 3, s: 11}? 11/171 What is prob of sequence oq when two letters picked without replacement from {g: 1, o: 7, n: 4, q: 2, d: 1, z: 3}? 7/153 Three letters picked without replacement from uzzhhdzhdddddkzduuu. What is prob of sequence udu? 14/969 Calculate prob of sequence ww when two letters picked without replacement from lwllllllllllwllwllw. 2/57 Calculate prob of sequence vzhh when four letters picked without replacement from {v: 2, e: 7, h: 7, z: 2}. 7/3060 Four letters picked without replacement from azaavvvzzavvvvz. What is prob of sequence vaav? 1/65 Three letters picked without replacement from ypppppwyvpvcpwpprp. What is prob of sequence yrv? 1/1224 What is prob of sequence cn when two letters picked without replacement from cnncnncccncnc? 7/26 Four letters picked without replacement from {z: 1, o: 4, l: 3, w: 2}. Give prob of sequence ozol. 1/140 Three letters picked without replacement from {p: 2, i: 5, n: 5}. What is prob of sequence ini? 5/66 Calculate prob of sequence dznu when four letters picked without replacement from {u: 6, z: 1, q: 6, n: 2, d: 1, c: 2}. 1/6120 Calculate prob of sequence gcu when three letters picked without replacement from {u: 3, c: 3, z: 2, x: 1, g: 1}. 1/80 Three letters picked without replacement from {e: 5, g: 7}. What is prob of sequence gge? 7/44 What is prob of sequence lb when two letters picked without replacement from {b: 2, n: 1, u: 1, r: 2, l: 1, e: 1}? 1/28 Three letters picked without replacement from yybbb. Give prob of sequence yby. 1/10 What is prob of sequence cc when two letters picked without replacement from nncnnitzt? 0 What is prob of sequence tfg when three letters picked without replacement from {f: 1, t: 1, g: 1, u: 1, a: 1}? 1/60 Calculate prob of sequence sy when two letters picked without replacement from {y: 4, x: 1, s: 9}. 18/91 What is prob of sequence mmmv when four letters picked without replacement from {q: 2, m: 3, n: 4, v: 1}? 1/840 Three letters picked without replacement from zzzznzznzznzzzz. Give prob of sequence znz. 66/455 Three letters picked without replacement from ccdskkcsksssss. What is prob of sequence dsk? 1/104 Calculate prob of sequence ereg when four letters picked without replacement from {e: 5, g: 7, r: 8}. 28/2907 What is prob of sequence kjj when three letters picked without replacement from ftjfooofftkofkrjtof? 2/2907 Two letters picked without replacement from {v: 1, x: 1, z: 1}. What is prob of sequence zx? 1/6 What is prob of sequence qsb when three letters picked without replacement from {s: 1, f: 2, q: 1, b: 1}? 1/60 Three letters picked without replacement from swwsww. What is prob of sequence ssw? 1/15 Three letters picked without replacement from {h: 3, q: 1, c: 1, p: 1, f: 1}. Give prob of sequence hph. 1/35 Calculate prob of sequence wpw when three letters picked without replacement from pppwppwpwwpppppppp. 7/204 Calculate prob of sequence bf when two letters picked without replacement from {b: 3, f: 4, v: 6}. 1/13 What is prob of sequence vv when two letters picked without replacement from uuuuuvuuvuvuuuuuuu? 1/51 Three letters picked without replacement from {u: 1, z: 2, h: 1, i: 2, m: 2}. What is prob of sequence uzh? 1/168 What is prob of sequence yyzf when four letters picked without replacement from tytztwwwfyzttwtytww? 1/7752 Three letters picked without replacement from zpqxqqxqqpxzqe. Give prob of sequence eqx. 3/364 Four letters picked without replacement from clrcrcqcq. What is prob of sequence qlrq? 1/756 What is prob of sequence hfff when four letters picked without replacement from {h: 15, f: 3}? 1/816 What is prob of sequence ow when two letters picked without replacement from {w: 1, o: 1, d: 12}? 1/182 What is prob of sequence kks when three letters picked without replacement from krnsddnnnnnkkdkknkk? 7/969 Calculate prob of sequence betl when four letters picked without replacement from zezibzbtbel. 1/1320 Three letters picked without replacement from kkkkkkdkdkdkkk. What is prob of sequence ddd? 1/364 Four letters picked without replacement from {k: 5, l: 7, d: 4}. What is prob of sequence klkk? 1/104 Three letters picked without replacement from qpoooqqoopoqoioq. Give prob of sequence iop. 1/210 Calculate prob of sequence wx when two letters picked without replacement from {l: 2, m: 1, x: 1, q: 2, w: 2}. 1/28 Three letters picked without replacement from sbuxoxps. What is prob of sequence uxx? 1/168 What is prob of sequence zs when two letters picked without replacement from isszizssssnz? 3/22 Four letters picked without replacement from mmmfmmfmm. What is prob of sequence mfmf? 1/36 Calculate prob of sequence kq when two letters picked without replacement from {a: 12, k: 1, q: 4, w: 3}. 1/95 What is prob of sequence ff when two letters picked without replacement from fbfffbffbfffff? 55/91 Two letters picked without replacement from {b: 5, a: 1, f: 1, v: 2}. Give prob of sequence bv. 5/36 Three letters picked without replacement from mymrmmjmjrjpmpprpg. Give prob of sequence yjg. 1/1632 What is prob of sequence vhv when three letters picked without replacement from vlvlvlovvllvvvvvvvhv? 13/570 Two letters picked without replacement from {x: 2, m: 1, k: 1, a: 1, d: 1, u: 1}. What is prob of sequence xx? 1/21 Two letters picked without replacement from fymyffmfmyymymyyfy. What is prob of sequence mm? 10/153 What is prob of sequence ordr when four letters picked without replacement from {r: 2, j: 1, f: 1, q: 3, o: 3, d: 1}? 1/1320 Four letters picked without replacement from edxxedeeqxj. What is prob of sequence xxjd? 1/660 What is prob of sequence sz when two letters picked without replacement from {s: 1, z: 1, x: 1}? 1/6 Four letters picked without replacement from {d: 9, p: 2}. What is prob of sequence dddp? 7/55 Two letters picked without replacement from xsxxmsxcx. What is prob of sequence xx? 5/18 Four letters picked without replacement from haahqhywhhyqhaaq. What is prob of sequence wyyq? 1/7280 Three letters picked without replacement from {k: 7, y: 1}. Give prob of sequence ykk. 1/8 Two letters picked without replacement from {r: 8, t: 4, i: 1}. What is prob of sequence tr? 8/39 What is prob of sequence rrrs when four letters picked without replacement from ssrrr? 1/10 Three letters picked without replacement from {b: 2, h: 1, y: 5, m: 3, s: 8}. Give prob of sequence myb. 5/969 What is prob of sequence btvb when four letters picked without replacement from {v: 3, b: 5, u: 1, t: 1, r: 4}? 5/2002 Four letters picked without replacement from twhyvyt. Give prob of sequence yytv. 1/210 Two letters picked without replacement from bslsbylsslsbssxbss. What is prob of sequence bb? 2/51 Two letters picked without replacement from dxkxmmxmmxkmmm.
{ "pile_set_name": "DM Mathematics" }
tive of -p**2 - p**4 - 3*p + n*p wrt p? -24*p Let s(x) be the second derivative of -1/6*x**4 + 0*x**3 + 0 + 6*x - 1/4*x**5 + 0*x**2. What is the third derivative of s(c) wrt c? -30 Let q be ((-1)/2)/((-9)/108). Let g(j) = -6*j**2 + 3. Let h(p) = -7*p**2 + 3. Let k(u) = q*g(u) - 5*h(u). What is the derivative of k(m) wrt m? -2*m Let o(t) = t**2 + 6*t + 3. Let p be o(-6). Differentiate -p*g**3 + 46*g + 8 + 0*g**3 - 46*g wrt g. -9*g**2 Let b(r) = -r - 3. Let g be b(-4). Let z be (-4)/12 - g/(-3). What is the second derivative of 2*d + z*d**5 + 2*d**5 - 4*d**5 wrt d? -40*d**3 Find the first derivative of -81*c**4 - 98*c**4 - 30 + 210*c**4 wrt c. 124*c**3 Let s(q) be the third derivative of 0*q**3 + 0*q**5 + 3*q**2 - 1/6*q**4 + 0 + 0*q**6 - 1/84*q**8 + 0*q**7 + 0*q. Find the second derivative of s(n) wrt n. -80*n**3 Let n(z) = z**2 - 13*z - 14. Let f be n(14). Let j(a) be the second derivative of 1/12*a**4 + 0 - a**2 + f*a**3 + a. What is the derivative of j(v) wrt v? 2*v Let b(a) be the first derivative of -3*a**5/5 + 3*a**2 + 3. Find the second derivative of b(m) wrt m. -36*m**2 Let a be (-6)/20 + (-40)/(-50). Let m(o) be the second derivative of 2*o + 0 - a*o**2 + 0*o**3 - 1/12*o**4. Differentiate m(u) with respect to u. -2*u Let q(p) = p - 7. Let r be q(10). Let m(j) be the first derivative of -j**2 - 4 + 2 + 0 - r*j + 0*j**2. Differentiate m(f) wrt f. -2 Let v = -6 + 4. Let b(a) = 1 + 0*a**3 - a**2 - 2 + 0*a**2 + a**3. Let m(u) = -2*u**2 - 3. Let h(t) = v*b(t) + m(t). Differentiate h(d) wrt d. -6*d**2 Find the second derivative of 2*x**2 + 5*x**2 + 4*x**2 + x wrt x. 22 Let i(g) = g - 2. Let c be i(3). Let d(o) = 3*o + 1. Let u(f) = -1. Let s(t) = c*d(t) + 2*u(t). Differentiate s(p) with respect to p. 3 Let b = -4 + 6. Find the second derivative of 2*h - h - 7*h**2 + h**b + 3*h**2 wrt h. -6 Let j(p) be the second derivative of -5*p**4/6 + 5*p**3/6 - p. Find the second derivative of j(g) wrt g. -20 Let h(a) be the first derivative of 4*a**7/7 + 4*a**3/3 - 7. Find the third derivative of h(u) wrt u. 480*u**3 Let r(m) be the first derivative of -m + 2 - 3/2*m**2. Find the first derivative of r(d) wrt d. -3 Let u(t) = t**2 + 11*t. Let b be u(-11). Find the third derivative of b*a**2 - a**3 - 5*a**2 + 2*a**3 + a**3 wrt a. 12 Let h(l) = -l**3 + l. Let r(q) = -12*q**3 - 2*q + 6*q**3 + 6*q - q. Let z(u) = 2*h(u) - r(u). What is the second derivative of z(m) wrt m? 24*m Suppose -x + 12 = 2*x, 2 = i + x. Let w be (0 - (2 + i))*-1. Differentiate w + 1 + 6*s - 5*s wrt s. 1 Suppose -5*t = -t - 8. What is the third derivative of -q**t + 0*q**2 + 2*q**3 - q**2 wrt q? 12 Let o(y) = -2*y**4 - 5*y**3 - 2. Let t = 21 - 15. Let c(w) = 2*w**4 + 6*w**3 + 2. Let s(p) = t*o(p) + 5*c(p). Find the first derivative of s(f) wrt f. -8*f**3 Suppose 5*z + 29 = -11. Let x(q) = q + 8. Let b be x(z). What is the first derivative of 1 + b - 2*l + 4*l wrt l? 2 Let k = -5 - -9. Let q(f) be the first derivative of 0*f - 2/3*f**3 + 2 + 0*f**2 + 0*f**k + 2/5*f**5. Find the third derivative of q(s) wrt s. 48*s Suppose -6 = -2*l - l. Suppose -5*g + 5*u + 40 = 0, 0*g = -l*g - 4*u - 8. What is the second derivative of -3*q**4 + 13*q**3 + g*q**4 - 13*q**3 - 2*q wrt q? 12*q**2 Let i(v) = -6*v**3 - 10*v. Let c(j) = 7*j**3 + 11*j. Let t(d) = -3*c(d) - 4*i(d). What is the second derivative of t(m) wrt m? 18*m Suppose 0 = -c + 5*c + 4*v, -4*v + 3 = 5*c. Suppose -5*b = -7 - c. What is the third derivative of 2*r**6 - 1 - r**b - 4*r**6 + 1 wrt r? -240*r**3 Find the first derivative of 20 - 3*h**4 - 5*h**4 - 3*h**4 + h**4 wrt h. -40*h**3 Let x(d) be the second derivative of 7*d**5/20 + 3*d**4/4 - 12*d. What is the third derivative of x(u) wrt u? 42 Let a be ((-18)/(-24))/(2/24). Let b = a - 7. Find the third derivative of 5*u**5 + u**2 - b*u**2 - 2*u**5 wrt u. 180*u**2 Let t(j) be the third derivative of 3*j**6/20 + 23*j**3/6 - 12*j**2. What is the derivative of t(r) wrt r? 54*r**2 Let x be 2/(-8) - (-1)/4. Find the second derivative of z + 4*z**4 - 3*z**4 + x*z wrt z. 12*z**2 Let h(j) = 4*j + 1. Let r = 8 + -12. Let b(f) be the first derivative of -f**2/2 - f + 1. Let y(s) = r*b(s) - 2*h(s). Find the first derivative of y(a) wrt a. -4 What is the second derivative of 102*j**2 + 6*j + 101*j**2 - 8*j**5 - 203*j**2 wrt j? -160*j**3 Find the third derivative of -28*z**5 + 5*z**4 - 25*z**2 - 5*z**4 - 31*z**5 wrt z. -3540*z**2 Find the first derivative of 19 + 3*k**3 - 7*k**3 - 27 wrt k. -12*k**2 Let u(v) be the first derivative of -20*v**6/3 + 53*v**2/2 + 11. What is the second derivative of u(k) wrt k? -800*k**3 Suppose 0 = -2*y - 2*t - 2, 5 = -2*y - 0*t - 5*t. Suppose 4 = 2*q - y*q. Differentiate -2 + 1 + 2 + m**q with respect to m. 2*m Let j(a) be the third derivative of 0*a**5 - 1/24*a**4 - 1/210*a**7 + 0*a**6 + 0 + 0*a + a**2 + 0*a**3. Find the second derivative of j(p) wrt p. -12*p**2 Let y(x) = -x**2 - 6*x + 9. Let l be ((-7)/(-3))/(3/(-9)). Let o be y(l). Find the third derivative of -3*h**3 - o*h**2 + 6*h**3 - 2*h**3 - 5*h**3 wrt h. -24 Let w(t) be the first derivative of t**7/42 - t**3/6 - 2*t**2 + 5. Let q(g) be the second derivative of w(g). What is the derivative of q(h) wrt h? 20*h**3 Let h = -15 + 18. Find the third derivative of -3*c**3 - 4*c**2 + 4*c**3 - 8*c**h wrt c. -42 Suppose 5*q - 12 = 3. Find the first derivative of q - 2*k - k - k + k wrt k. -3 Let a(o) = 21*o**3 - 14*o + 5. Let n(q) = -10*q**3 + 7*q - 2. Let g(j) = -2*a(j) - 5*n(j). Find the second derivative of g(c) wrt c. 48*c Let o(d) be the second derivative of d**6/360 - d**4/24 + d**3/2 - d. Let y(x) be the second derivative of o(x). What is the derivative of y(t) wrt t? 2*t Let h(w) = -23*w - 4. Let x(l) = -l**2 - 46*l - 7. Let q(d) = -7*h(d) + 4*x(d). Find the second derivative of q(t) wrt t. -8 Let h(l) be the first derivative of -l**7 - 19*l**3/3 - 23. What is the third derivative of h(g) wrt g? -840*g**3 Let c(n) = 4*n**4 + 5*n**2 - 3*n + 3. Let p(d) = -12*d**4 - 16*d**2 + 8*d - 8. Let z(g) = -8*c(g) - 3*p(g). What is the third derivative of z(i) wrt i? 96*i Suppose 0*x + 4*x + 20 = 3*z, -5*x = -3*z + 25. Let s be z/(-3 + 1) + 2. What is the second derivative of 3*y + 0*y - 3*y**5 + s*y**5 + y wrt y? -20*y**3 Let g(q) be the second derivative of 7/6*q**3 + 4*q**2 + 0 - 8*q. Differentiate g(w) with respect to w. 7 Let a be (-18)/(-4) + 2/4. Suppose -5*c + 2*c = -6. Find the second derivative of a*i**2 - i + 0*i**2 - 3*i**c wrt i. 4 Find the third derivative of 21*r - 9*r + 8*r**6 - 12*r - 4*r**2 wrt r. 960*r**3 Suppose -5*b + 6 = -2*j, b = -4*b + 3*j + 4. Let q = 0 + b. What is the third derivative of 2*v - q*v - v**2 - 3*v**5 wrt v? -180*v**2 Let d(y) = 5*y**5 - 2*y**4 - 13*y**2 + 2. Let w(s) = -10*s**5 + 5*s**4 + 27*s**2 - 5. Let q(z) = -5*d(z) - 2*w(z). Find the third derivative of q(b) wrt b. -300*b**2 Suppose 2*g + 18 = 3*g - 3*k, -4*g + 2*k + 22 = 0. What is the second derivative of 28*i**2 - 6*i + 7*i**3 - 28*i**2 - i**g wrt i? 36*i What is the first derivative of -1 + 4 + h**3 - 2*h**3 wrt h? -3*h**2 Let n be 4 + -2 - -2 - 4. Let f(v) be the second derivative of -v**2 + 0*v**4 + 0*v**5 + 0*v**3 - 1/15*v**6 - v + n. Differentiate f(p) wrt p. -8*p**3 Let z(v) = -8*v**4 + 3*v**2 + 6*v + 6. Let w(j) = -j**4 + j**2 + j + 1. Let q(f) = 6*w(f) - z(f). What is the third derivative of q(r) wrt r? 48*r Let f(h) be the first derivative of h**6/30 - h**2 + 3*h - 3. Let a(o) be the first derivative of f(o). What is the derivative of a(i) wrt i? 4*i**3 Find the third derivative of 17*h**2 + 11*h**5 - 2*h**2 + 8*h**5 + 7*h**5 wrt h. 1560*h**2 Let y(s) = -2*s**2 + s. Let t(n) = 46*n**2 + 2*n. Let r(p) = -t(p) + 6*y(p). Find the second derivative of r(f) wrt f. -116 Let h(l) be the second derivative of -2*l**7/21 + 5*l**3/6 - 2*l. Find the second derivative of h(z) wrt z. -80*z**3 Let m(u) be the third derivative of u**4/24 + 4*u**3/3 - 2*u**2. Let h be m(-5). Differentiate -1 - 5*j**3 + j**h + 2*j**3 with respect to j. -6*j**2 Let s(z) = 7*z**4 + 5*z**3 - 5*z - 4. Let n(a) = a**4 + a**3 - a + 1. Let c(b) = -5*n(b) + s(b). Differentiate c(m) wrt m. 8*m**3 What is the second derivative of -39*y**3 + 0*y**3 + 3*y**3 - 3*y wrt y? -216*y Let k be 3 - (1 + 3/(-3)). What is the second derivative of k*n**3 - 4*n**3 + 0*n**3 +
{ "pile_set_name": "DM Mathematics" }
0 - -2)/(-4). What is the nearest to h in 5, -3, i? i Let h be (279/21)/3 + -4. What is the closest to -4 in 0.3, h, 4/9? 0.3 Suppose p - 4 = -31. Let r be (2/6)/(9/p). What is the closest to 0 in r, 0.3, 1/3? 0.3 Let b = 5.7 + -5. Let f = -0.3 + b. Let a = -7 + 8. What is the closest to a in 0.5, 2/9, f? 0.5 Let p(d) = -d**2 - 13*d + 14. Let t be p(-14). Which is the closest to 0.1? (a) 2/5 (b) t (c) -3/5 b Let o = -4.4 - 0.6. Let a(m) = -7*m + 1. Let d be a(-2). Let g = d + -13. What is the nearest to g in o, 1, 4? 1 Let t = -1093/2 - -572. Let w = t - 27. What is the closest to -0.2 in w, 5, -0.4? -0.4 Suppose -3*w - 2*b = 25, w + 0*w - 5*b = 20. Let g = 215 + -210. What is the closest to 1 in w, g, 0.2? 0.2 Let o = 10 - 8. Which is the closest to -3? (a) o (b) -4/7 (c) -0.3 b Let w be 34/24*2 + -3. Let p be (-2*1/(-2))/(-1). What is the closest to p in 0.04, 2, w? w Let x = 0.1 - 0.1. Let q = -1 + -0.1. Let y = 0.9 - q. Which is the closest to x? (a) -0.5 (b) y (c) -2/3 a Let o = 88/135 - -2/135. Let u = 0 - 0. Let g = 51 + -49. Which is the closest to o? (a) u (b) g (c) -4 a Let a = 59 + -56. What is the closest to a in -4, -0.04, -1/2? -0.04 Let i be (-42)/(-234) - 1/3. Which is the closest to 1? (a) i (b) -4 (c) 2 c Let x be 6/(-4)*(-2)/12. Let p = 2101 - 8489/4. Let w = p + 21. Which is the nearest to 0.2? (a) x (b) w (c) -2/11 a Let y be 3/5 + ((-24)/(-15))/4. What is the closest to y in 0, -4, -1/5? 0 Let h = 5 - 8. Let m = -3.4 - -0.9. Let x = h - m. What is the closest to 2/3 in -5, x, 1/2? 1/2 Let x = -0.94 - 0.06. Let m = 1.9 - 3. Let f = m - -0.1. Which is the closest to x? (a) -5 (b) 0.5 (c) f c Let c = -12 + 7. Let k = -7.2 + 8. Let l = 1.2 - k. What is the nearest to 1 in 2, l, c? l Let c(y) = y**3 - 3*y**2 + 6*y - 17. Let u be c(3). Suppose -4*s - s = -25. What is the nearest to u in -5, s, -1/5? -1/5 Let v = -605 - -604.7. Let p = 7 + -4. Which is the closest to 0.1? (a) v (b) p (c) 1 a Let x = 8600/3 - 2828. Let p = x - 38. What is the nearest to 0.1 in p, -0.1, 0.1? 0.1 Let p be 0*(2 + 5/(-3)). Which is the closest to -0.5? (a) 1/8 (b) p (c) -1/11 c Suppose -3*o = -30 + 12. Let d be (5/15)/((-3)/o). Let i = 1.9 + -2. Which is the nearest to 0.1? (a) -2/5 (b) i (c) d b Let q = 16 + -10. Suppose -q*v + v - 20 = 0. Let f be v/(-4) - 2/4. Which is the nearest to -1? (a) 5 (b) f (c) -0.2 c Let g = -7 + 2. Let x be ((-3)/5)/(6/15). Let i = 3.9 - 3.8. What is the nearest to 4 in x, g, i? i Let w be 10/5 - (-22)/(-6). What is the nearest to 0 in 0.5, 1, w? 0.5 Suppose 4*n + 6 = 2*q, 0 = 3*q - q + 3*n + 1. Suppose -11 = -2*b + q. Suppose -l = -b*l. What is the nearest to -3 in 0.2, 2/11, l? l Let w = 18.9 + -19. Which is the nearest to w? (a) -4/5 (b) 6/11 (c) -4 b Let i = 2.4 + -2.3. Let l = -0.1 + 0.3. What is the nearest to i in 0.3, 2/7, l? l Let p = 33 + -261/8. Let h = -8 - -15. Let r be (-7)/(-14) + h/2. Which is the closest to -1/4? (a) r (b) p (c) 1/11 c Suppose -20 = -5*u + u. What is the closest to 1/4 in -1/3, u, -1/2? -1/3 Suppose 4*z - 17 = -3*y, 2*y + 5*z - 7 = 3*y. What is the nearest to 1/4 in 5/4, -1/2, y? -1/2 Let x = 6 - 5.7. Let s = -1/4 - 1/4. Which is the nearest to 0.1? (a) s (b) x (c) -5/4 b Suppose 2*t - 25 = 3*f, -f = 2*f + 5*t - 10. Which is the nearest to 0? (a) -3/8 (b) f (c) 0.2 c Let u = -76123 + 535062/7. Let y = 315 - u. Let f = 3 + -4. Which is the closest to 0? (a) y (b) f (c) 2/7 c Let f = -58 - -63. What is the closest to -2/3 in f, -0.4, 3? -0.4 Let u = 3 + -0.5. Let g = 0.05 - -2.95. Let t = g - u. Which is the nearest to -0.1? (a) -2/11 (b) t (c) 0.3 a Let q = -2 + 1.8. Let a = 41 - 41. Let w = -1 - -3. What is the nearest to 0.2 in q, w, a? a Let g = -10 - -9.97. Let o = 0.97 - g. What is the nearest to 2 in o, -4/7, 1/4? o Let w = 0.024 - 0.524. What is the nearest to -0.4 in 5, w, -4? w Let f = 13 - 8. Let p = f - 5.1. Which is the nearest to -1? (a) -3 (b) 7 (c) p c Let p = -1 - 0. What is the closest to -0.2 in 3, p, -4/7? -4/7 Let j be 2/(-6) + (-32)/(-24). Let k = 0.7 - 3.7. Let s = -6 - k. Which is the nearest to j? (a) 2 (b) s (c) 4 a Let h = 10 - 5. Which is the nearest to -0.1? (a) -5 (b) h (c) -1 c Let o = -19 - -18.5. Let s = -5/56 - -157/504. Let d be (-3)/(-30)*-4*1. Which is the nearest to 1? (a) d (b) s (c) o b Suppose 3*p = 5*l + 8 - 0, 0 = l + 4*p + 20. Let r be 48/18 + l/2. Let f = -0.4 - -0.3. Which is the closest to f? (a) r (b) 0.5 (c) 1/4 c Suppose 2*u - 7*u = 0. What is the nearest to u in -4, -0.2, -2/3? -0.2 Let c = 1.45 + -1.4. Let z = -0.15 + c. What is the closest to 1 in -0.5, -4, z? z Let l = -0.111 - -0.511. What is the nearest to 3 in l, 5, -6? 5 Let y = 1 + -1.1. Let f be 2 + (2 - (-2 - -1)). Which is the nearest to y? (a) -2 (b) -5 (c) f a Let j = 5180/3 - 1743. Let i = 16 + j. What is the closest to 0.1 in -2/9, i, -0.5? -2/9 Let g be 3/1 - (-22)/(-6). What is the nearest to -1/4 in -1/7, 2, g? -1/7 Let h = 3 + -6. Let f = h + 2. Suppose 5*v + 29 = w, 3*v = -3*w + 4*v + 17. Which is the nearest to f? (a) -0.4 (b) 1/7 (c) w a Suppose -4*g - 4*o - 18 = -2*g, 2*g - 2*o = 0. Let h be g/30*-2*5. Let u be (-6)/(-285)*5*h. Which is the nearest to -1? (a) u (b) -5 (c) -3 a Let k = 207.9 + -218.73. Let m = k - 0.17. Let t = m + 15. Which is the closest to 0.2? (a) -0.4 (b) 0.5 (c) t b Let f be ((-2 - 2) + -1)/4. What is the nearest to -1 in f, 1, -11? f Let t = 0.13 - 0.23. Let m = 2 - 1.7. Let f be -2*(-2)/24*1. Which is the nearest to 1? (a) f (b) t (c) m c Let j = 9 + -8.95. Let n = j + 2.95. What is the closest to n in -0.3, 1, -2/11? 1 Let a = 0.1 + -1.6. Let u = a - -1.3. What is the nearest to u in -0.4, -1/5, 1? -1/5 Suppose -8 = -0*n - 2*n. Suppose 2*i - n*i + 4 = 0. Which is the nearest to 0.1? (a) -2 (b) i (c) -0.5 c Let n = 4 + -4. Which is the closest to -3? (a) 2 (b) -0.2 (c) n b Let r = -1/47 - -143/94. Let n = 58/3 + -18. What is the closest to 0.2 in r, -1/7, n? -1/7 Let v = 2 + 1. Suppose m = -2*i + v, -3*m + 3 = -5*i - 2*m. Let g = -2 - -7. Which is the closest to -0.2? (a) i (b) 0.1 (c) g a Let t(w) = -2*w - 8. Let a be t(-3). What is the closest to -0.2 in a, 2/3, -0.3? -0.3 Let i = 34 + -35. Let f be (-3)/(-2)*(3 - 5). Which is the closest to i? (a) f (b) 3 (c) 4 a Let g = 13/8 + -109/72. What is the closest to -1/3 in g, 1/10, 3? 1/10 Suppose 2*y - 12 = -2*u, 6*u - 12 = 2*u. Let l be 2/4 + y/18. Which is the closest to l? (a) -3 (b) 4 (c) -1 c Let q = 3 + 4. Let o = -2 + q. Suppose 3*h = -9, -3*h = -5*s - 5*h - 31. Which is the closest to 0.1? (a) -2 (b) s (c) o a Let r = -0.2 + 0.1. Let n(t) = -t**2 - 3*t + 4. Let v be n(-4). What is the closest to r in v, 2, -3? v Let y = 3 - 8. Let r be 10/(-45) - 176/18. Let w be r/4*(-2)/(-20). What is the closest to -1 in w, 0.3, y? w Let y = 9 + -11. Let w = 2.2 + 0.8. Let k = w + y. What is the nearest to k in -0.5, 0, -1? 0 Let t = -1.05 - -0.05. What is the nearest to t in 4, -3, 0.1? 0.1 Let r = 0.1 + -0.1. Let c = -0.3 + 1.3. Let v = c - 1. What is the nearest to r in 0.5, 5, v? v Let p be (16/21)/4*(-9)/(-6). Which is the nearest to p? (a) 3 (b) 2/7 (c) 5 b Let f = 0.5 + -0.7. Let h = f + 0.7. Let t = 1.5 + h. What is the nearest to -2/7 in 1, 3, t? 1 Let r = 5.83 + -0.83. Suppose 24 = v + 5*q, 24 = 4*v + v + q. Which is the closest to -6? (a) v (b) r (c) -0.1 c Suppose 0 = 4*q + 5*i - 30, -3*q = -4*i - 6 - 1. What is the closest to 0.2 in 2, q, 4? 2 Suppose 3*d = -9 - 6. Which is the closest to -0.2? (a) 1/2 (b) -2 (c) d a Let v be ((-89)/(-93) - 1)*-3. Let k = 73/155 + v. Suppose 0 = 3*b - 3*z - 3, 6*b - 2*b + 4*z = -12. What is the closest to k in b, 0.1, 1/4? 1/4 Let i be (2/1 + -21)/(-1). Let n = -14 + i. What is the nearest to 1 in n, 1, 0? 1 Let g = 1032/3661 - -2/523. What is the nearest to -0.1 in -2, 0.2, g? 0.2 Let f = 6 + -5.9. Let l be ((-4)/(-10))/((-16)/(-20)). Which is the nearest to f? (a) 0.1 (b) l (c) -1/5 a Let n = 6 + -5. Let y = 9/2 + -31/6. Let q = 0.1 + -0.5. Which is the closest to n? (a) q (b) 5 (c) y a Let f be 5/8*2/(-10). Let u = 1.6 + -13.6. Let x = -12 - u. Which is the closest to x? (a) f (b) 4 (c) -1/4 a Let p = -2/55 - 31/55. What is the nea
{ "pile_set_name": "DM Mathematics" }
32 PM How many minutes are there between 11:56 AM and 11:24 PM? 688 How many minutes are there between 9:08 PM and 3:54 AM? 406 What is 132 minutes before 9:03 AM? 6:51 AM What is 240 minutes before 8:18 PM? 4:18 PM How many minutes are there between 7:26 PM and 8:22 PM? 56 How many minutes are there between 7:41 PM and 10:14 PM? 153 How many minutes are there between 8:08 AM and 7:53 PM? 705 What is 60 minutes before 2:42 PM? 1:42 PM What is 35 minutes before 7:25 AM? 6:50 AM How many minutes are there between 9:23 AM and 2:00 PM? 277 What is 472 minutes before 5:26 PM? 9:34 AM How many minutes are there between 12:57 AM and 5:01 AM? 244 How many minutes are there between 11:36 AM and 4:39 PM? 303 What is 324 minutes before 5:38 AM? 12:14 AM How many minutes are there between 1:15 PM and 12:07 AM? 652 What is 627 minutes after 7:18 PM? 5:45 AM What is 246 minutes after 4:05 PM? 8:11 PM What is 88 minutes before 3:47 PM? 2:19 PM How many minutes are there between 7:36 AM and 3:57 PM? 501 What is 672 minutes after 1:26 PM? 12:38 AM What is 530 minutes after 9:23 AM? 6:13 PM How many minutes are there between 7:38 AM and 2:19 PM? 401 What is 53 minutes before 8:18 AM? 7:25 AM How many minutes are there between 4:22 PM and 3:53 AM? 691 How many minutes are there between 11:04 AM and 8:37 PM? 573 How many minutes are there between 1:11 AM and 8:53 AM? 462 How many minutes are there between 1:52 AM and 8:06 AM? 374 How many minutes are there between 10:20 AM and 9:32 PM? 672 What is 342 minutes after 12:09 AM? 5:51 AM How many minutes are there between 5:14 AM and 3:37 PM? 623 What is 126 minutes after 11:16 AM? 1:22 PM What is 612 minutes before 6:05 PM? 7:53 AM How many minutes are there between 3:25 AM and 11:41 AM? 496 How many minutes are there between 4:06 PM and 3:10 AM? 664 What is 332 minutes after 11:14 AM? 4:46 PM How many minutes are there between 4:00 PM and 11:28 PM? 448 What is 429 minutes before 5:25 AM? 10:16 PM What is 156 minutes before 1:15 PM? 10:39 AM What is 492 minutes before 11:54 AM? 3:42 AM How many minutes are there between 11:04 AM and 6:57 PM? 473 What is 394 minutes after 5:39 AM? 12:13 PM How many minutes are there between 8:56 PM and 1:08 AM? 252 What is 137 minutes before 8:44 AM? 6:27 AM How many minutes are there between 8:43 PM and 10:14 PM? 91 How many minutes are there between 2:47 AM and 7:49 AM? 302 How many minutes are there between 12:43 PM and 12:14 AM? 691 How many minutes are there between 8:29 AM and 10:13 AM? 104 What is 402 minutes after 4:44 PM? 11:26 PM What is 399 minutes before 9:20 AM? 2:41 AM How many minutes are there between 12:33 AM and 12:20 PM? 707 What is 705 minutes before 6:29 AM? 6:44 PM What is 709 minutes after 12:34 PM? 12:23 AM How many minutes are there between 7:12 AM and 3:00 PM? 468 What is 662 minutes after 9:49 AM? 8:51 PM How many minutes are there between 6:34 AM and 5:01 PM? 627 How many minutes are there between 11:35 PM and 12:15 AM? 40 What is 309 minutes before 8:59 AM? 3:50 AM What is 9 minutes before 6:47 PM? 6:38 PM What is 324 minutes before 12:19 AM? 6:55 PM How many minutes are there between 4:01 PM and 3:11 AM? 670 How many minutes are there between 2:35 AM and 2:00 PM? 685 How many minutes are there between 3:17 PM and 11:17 PM? 480 How many minutes are there between 8:49 AM and 4:15 PM? 446 How many minutes are there between 7:05 PM and 12:32 AM? 327 How many minutes are there between 4:33 PM and 6:11 PM? 98 How many minutes are there between 12:59 AM and 9:57 AM? 538 How many minutes are there between 1:38 AM and 2:32 AM? 54 How many minutes are there between 4:57 PM and 4:36 AM? 699 How many minutes are there between 1:11 PM and 5:48 PM? 277 What is 702 minutes before 3:12 PM? 3:30 AM How many minutes are there between 6:55 PM and 10:10 PM? 195 What is 504 minutes before 2:55 PM? 6:31 AM How many minutes are there between 1:49 PM and 1:37 AM? 708 How many minutes are there between 9:44 PM and 6:06 AM? 502 What is 607 minutes after 5:13 PM? 3:20 AM What is 472 minutes after 1:26 AM? 9:18 AM What is 424 minutes after 7:44 AM? 2:48 PM How many minutes are there between 3:54 PM and 2:51 AM? 657 How many minutes are there between 8:03 PM and 10:37 PM? 154 What is 289 minutes after 11:20 PM? 4:09 AM What is 341 minutes after 1:02 AM? 6:43 AM How many minutes are there between 4:37 PM and 5:04 PM? 27 How many minutes are there between 12:47 PM and 2:59 PM? 132 How many minutes are there between 7:29 AM and 6:33 PM? 664 What is 19 minutes before 3:33 PM? 3:14 PM What is 685 minutes after 7:31 PM? 6:56 AM How many minutes are there between 8:17 AM and 10:57 AM? 160 What is 367 minutes before 1:47 AM? 7:40 PM How many minutes are there between 3:04 AM and 5:50 AM? 166 What is 419 minutes after 3:43 PM? 10:42 PM How many minutes are there between 2:53 AM and 10:05 AM? 432 How many minutes are there between 8:52 AM and 7:01 PM? 609 How many minutes are there between 2:17 AM and 2:19 AM? 2 How many minutes are there between 5:05 AM and 12:01 PM? 416 What is 325 minutes after 12:02 AM? 5:27 AM How many minutes are there between 9:04 PM and 1:59 AM? 295 How many minutes are there between 10:30 PM and 12:13 AM? 103 What is 175 minutes after 5:55 PM? 8:50 PM How many minutes are there between 10:49 PM and 1:21 AM? 152 How many minutes are there between 11:05 PM and 10:00 AM? 655 What is 443 minutes before 8:31 AM? 1:08 AM How many minutes are there between 3:21 PM and 12:19 AM? 538 How many minutes are there between 3:32 PM and 2:29 AM? 657 What is 421 minutes before 1:56 PM? 6:55 AM What is 173 minutes before 12:36 AM? 9:43 PM How many minutes are there between 8:31 PM and 5:38 AM? 547 What is 332 minutes after 4:58 AM? 10:30 AM What is 480 minutes before 1:01 AM? 5:01 PM What is 98 minutes before 7:59 PM? 6:21 PM What is 6 minutes after 11:41 PM? 11:47 PM What is 59 minutes after 1:58 PM? 2:57 PM What is 6 minutes before 2:19 AM? 2:13 AM How many minutes are there between 12:33 PM and 7:15 PM? 402 How many minutes are there between 6:30 AM and 11:55 AM? 325 What is 386 minutes before 5:32 AM? 11:06 PM How many minutes are there between 3:51 PM and 1:38 AM? 587 How many minutes are there between 2:28 PM and 5:14 PM? 166 How many minutes are there between 1:22 AM and 5:46 AM? 264 How many minutes are there between 1:30 PM and 6:21 PM? 291 What is 373 minutes before 6:38 PM? 12:25 PM What is 139 minutes before 2:40 PM? 12:21 PM How many minutes are there between 7:09 AM and 8:00 AM? 51 What is 286 minutes after 1:55 AM? 6:41 AM How many minutes are there between 11:04 PM and 5:49 AM? 405 What is 612 minutes before 1:57 AM? 3:45 PM What is 44 minutes after 1:40 AM? 2:24 AM How many minutes are there between 12:13 PM and 12:01 AM? 708 What is 520 minutes before 4:26 AM? 7:46 PM How many minutes are there between 4:47 AM and 4:06 PM? 679 How many minutes are there between 10:17 PM and 12:17 AM? 120 How many minutes are there between 10:53 PM and 12:40 AM? 107 What is 253 minutes after 11:22 PM? 3:35 AM How many minutes are there between 2:10 AM and 1:49 PM? 699 What is 457 minutes after 4:08 PM? 11:45 PM How many minutes are there between 8:41 AM and 8:43 AM? 2 What is 473 minutes after 10:27 AM? 6:20 PM What is 283 minutes before 11:12 PM? 6:29 PM How many minutes are there between 6:06 PM and 1:05 AM? 419 What is 572 minutes after 10:16 AM? 7:48 PM How many minutes are there between 11:16 AM and 6:58 PM? 462 What is 616 minutes before 9:34 PM? 11:18 AM How many minutes are there between 5:26 PM and 2:06 AM? 520 What is 414 minutes before 6:17 PM? 11:23 AM What is 394 minutes after 2:29 AM? 9:03 AM How many minutes are there between 9:41 AM and 8:33 PM? 652 What is 367 minutes before 3:21 AM? 9:14 PM What is 582 minutes before 3:39 PM? 5:57 AM How many minutes are there between 4:34 AM and 3:31 PM? 657 How many minutes are there between 1:48 AM and 8:28 AM? 400 What is 699 minutes before 9:00 AM? 9:21 PM What is 250 minutes before 1:21 AM? 9:11 PM What is 97 minutes before 11:46 AM? 10:09 AM What is 663 minutes after 7:40 PM? 6:43 AM How many minutes are there between 2:03 AM and 12:26 PM? 623 How many minutes are there between 11:16 AM and 11:36 AM? 20 What is 170 minutes
{ "pile_set_name": "DM Mathematics" }
4545 -1 What is 4026189 divided by -3? -1342063 What is 210000 divided by 3? 70000 Divide -11 by -7530. 11/7530 What is 461 divided by 42? 461/42 -33430 divided by 3 -33430/3 Calculate 101001 divided by -131. -771 -5 divided by -78415 1/15683 Calculate -6697284 divided by 4939. -1356 Calculate 66 divided by -2193. -22/731 Divide -22717 by -122. 22717/122 What is -2234650 divided by 223465? -10 What is 82 divided by -1474? -41/737 Divide 870480 by -124. -7020 2 divided by 13370 1/6685 Calculate 20139 divided by -7. -2877 Divide -708866 by -17. 41698 164669 divided by -4 -164669/4 -6820 divided by 2 -3410 -3 divided by -4415 3/4415 Divide 9 by 6618. 3/2206 What is 2537378 divided by 566? 4483 0 divided by 5188 0 Calculate -4399374 divided by 298. -14763 Calculate 408842 divided by 7049. 58 What is -2616 divided by -523? 2616/523 Calculate -177225 divided by 3. -59075 -47010 divided by 10 -4701 What is 40894 divided by 161? 254 Divide 25 by 207. 25/207 Calculate 7 divided by 35547. 7/35547 What is 24843 divided by 169? 147 Calculate -592 divided by 451. -592/451 Calculate 1131020 divided by 5830. 194 Calculate 1 divided by -14546. -1/14546 What is -132678 divided by 6? -22113 Divide -13395 by 705. -19 What is -1304900 divided by -5? 260980 Divide -2886 by 222. -13 Divide -52480 by 256. -205 1437648 divided by -976 -1473 Calculate 78936 divided by -552. -143 Divide 891962 by 445981. 2 What is 985 divided by -177? -985/177 -907632 divided by 3 -302544 Divide 182 by 1122. 91/561 What is 95 divided by -1085? -19/217 What is 42054 divided by -3? -14018 Divide -280042 by 7. -40006 What is -33360 divided by -1112? 30 -175 divided by 9 -175/9 What is -51690 divided by 4? -25845/2 What is 147510 divided by 110? 1341 240 divided by -350 -24/35 What is 105 divided by 28608? 35/9536 What is 0 divided by 61010? 0 What is 301070 divided by -1? -301070 Calculate 9850 divided by -1970. -5 519939 divided by 24759 21 Calculate 5 divided by 79916. 5/79916 What is -145440 divided by 48480? -3 Divide -233821 by -6. 233821/6 Calculate 2744 divided by 2. 1372 Divide -10134 by 6. -1689 -185673 divided by 2 -185673/2 What is 76797 divided by 3? 25599 Calculate -498186 divided by 117. -4258 What is 3 divided by 43749? 1/14583 Calculate 3384 divided by 141. 24 Calculate -21 divided by 4211. -21/4211 What is 1095 divided by 673? 1095/673 Divide 183474 by 2. 91737 473343 divided by -12137 -39 Divide 89 by 17094. 89/17094 -24087 divided by 93 -259 Calculate 168128 divided by -2. -84064 What is -2 divided by 10200? -1/5100 Calculate -33 divided by 1851. -11/617 1 divided by 70 1/70 Calculate -116793 divided by 116793. -1 What is 252390 divided by 1? 252390 -24261 divided by 15 -8087/5 -251379 divided by 153 -1643 11340 divided by 39 3780/13 What is 2 divided by -2226? -1/1113 What is -32260 divided by 20? -1613 0 divided by -246693 0 Calculate -296 divided by 379. -296/379 What is 4 divided by -2859? -4/2859 Calculate -5848 divided by -14. 2924/7 Divide -272259 by -1611. 169 What is 2286 divided by -1143? -2 10088 divided by 1261 8 Divide 307768 by -292. -1054 Calculate -130192 divided by -1264. 103 63 divided by -58 -63/58 What is -254 divided by 3425? -254/3425 Divide 526369 by -4. -526369/4 Calculate 177700 divided by -17770. -10 Divide -26676 by -4. 6669 2862 divided by 111 954/37 What is 93058 divided by 34? 2737 -304 divided by -6 152/3 Divide -50 by -82581. 50/82581 What is 1 divided by -64175? -1/64175 -75158 divided by -8 37579/4 Divide -184132 by -4. 46033 Divide 65963 by 1. 65963 97671 divided by -1 -97671 What is -129344 divided by -64672? 2 What is -54 divided by -14? 27/7 Divide -7400 by 25. -296 Calculate 1415062 divided by -1415062. -1 What is 1640920 divided by -82046? -20 Divide 1059053 by 3. 1059053/3 Calculate 31 divided by 292. 31/292 Divide -602361 by -93. 6477 Calculate 536844 divided by -7. -76692 Calculate 4235 divided by 298. 4235/298 Calculate -1 divided by 22941. -1/22941 Calculate 2 divided by -223673. -2/223673 17209 divided by -29 -17209/29 Divide -1 by 41960. -1/41960 1709 divided by 1636 1709/1636 Calculate 50856 divided by -8476. -6 Divide 4863 by 440. 4863/440 Divide 2 by -13737. -2/13737 -235605 divided by 1695 -139 Calculate -1274 divided by 171. -1274/171 Divide -440 by 70. -44/7 -67320 divided by 1530 -44 What is 140 divided by 822? 70/411 Divide 32952 by -4. -8238 Calculate 209716 divided by 109. 1924 What is 239736 divided by 34248? 7 Divide 17 by -14942. -17/14942 Calculate -35044 divided by 17522. -2 Calculate 22956 divided by -1. -22956 Divide -21176 by -5294. 4 Calculate 58968 divided by -126. -468 Divide 10730 by -290. -37 What is -2981 divided by 521? -2981/521 Divide 77218 by -77218. -1 19945 divided by -3989 -5 Divide -45423 by -2. 45423/2 Calculate 5 divided by -59235. -1/11847 Divide -46200 by 30. -1540 What is 38599 divided by -10? -38599/10 What is -482956 divided by 1? -482956 What is -14152 divided by -116? 122 What is -3 divided by -9706? 3/9706 Calculate -150346 divided by 4. -75173/2 What is -217123 divided by 5? -217123/5 Divide 4634228 by -11762. -394 Divide -263709 by -87903. 3 Calculate 10212 divided by 10212. 1 Calculate -3949715 divided by 789943. -5 105 divided by 391 105/391 -534496 divided by 133624 -4 -55984 divided by 6998 -8 Calculate -701068 divided by -5. 701068/5 Divide -28121 by -1. 28121 -5553 divided by -42 1851/14 Calculate -1036497 divided by 1923. -539 -716576 divided by -784 914 Calculate 11236 divided by -2. -5618 Divide 12 by -786. -2/131 Divide 222948 by 198. 1126 What is 1187 divided by 36? 1187/36 What is 2522 divided by 30? 1261/15 0 divided by 4018 0 Calculate 237584 divided by -496. -479 What is 399 divided by 1582? 57/226 Calculate 178296 divided by 3128. 57 -232550 divided by 23255 -10 Divide -1107309 by -469. 2361 Calculate 91826 divided by 2. 45913 What is -82147 divided by 5? -82147/5 What is 11 divided by -920? -11/920 What is -100481 divided by -6? 100481/6 Calculate -409596 divided by 58. -7062 -2 divided by -11250 1/5625 1 divided by -10252 -1/10252 -12078 divided by 48 -2013/8 What is -46 divided by 1779? -46/1779 Calculate -764227 divided by 59. -12953 What is 708981 divided by 2067? 343 -104354 divided by -52177 2 What is 3347 divided by 283? 3347/283 Calculate -223368 divided by 908. -246 Divide 2664352 by -1. -2664352 -7712 divided by -11 7712/11 Divide 1520688 by -380172. -4 What is -4163 divided by -158? 4163/158 What is -89706 divided by 4? -44853/2 Divide 221 by -9. -221/9 Calculate -3486 divided by -21. 166 What is -5 divided by -8478? 5/8478 What is 4006 divided by -19? -4006/19 What is 4092798 divided by -499? -8202 Calculate -816664 divided by 1147. -712 Divide 505680 by -6321. -80 Calculate -215622 divided by -19602. 11 Calculate -8 divided by 2424. -1/303 What is 1 divided by -89998? -1/89998 Calculate -2 divided by 704. -1/352 354519 divided by -3 -118173 What is -5 divided by 4818? -5/4818 Calculate -149890 divided by 29978. -5 Divide -1741257 by -3071. 567 What is 31266 divided by -31266? -1 Calculate -16 divided by 10121. -16/10121 What is 119 divided by 7? 17 63060 divided by 31530 2 What is -27279 divided by 9093? -3 -102 divided by 101 -102/101 Calculate -26793 divided by -56. 26793/56 -5211 divided by 169 -5211/169 Divide 31620 by -5. -6324 Calculate -2 divided by -53481. 2/53481 Divide -221309 by -5. 221309/5 Calculate 6 divided by 126434. 3/63217 -206828 divided by -116 1783 Calculate -215 divided by 699. -215/699 Divide 0 by 11881. 0 Calculate 33228 divided by -8. -8307/2 What is 83 divided by -95? -83/95 Divide -5 by 683233. -5/683233 What is -306453 divided by 102151? -3 Divide 1064 by -77. -152/11 780096 divided by 16 48756 807036 divided by 3 269012 Divide -763 by -1616. 763/1616 -7 divided by 103227 -7/103227 What is 2524 divided by -1262? -2 What is -1456 divided by -30? 728/15 Divide -380096 by 13. -380096/13 Calculate 3 divided by -2268. -1/756 Calculate -2 divided by 9347. -2/9347 Calculate -84813 divided by -28271. 3 Calculate -211365 divided by 70455. -3 -114876 divided by 2 -57438 Divide -2 by -167731. 2/167731 Calculate 255 divided by -9779. -255/9779 What is -5112 divided by 568? -9 What is 412640 divided by -5? -82528 Calculate 2352658
{ "pile_set_name": "DM Mathematics" }
. What is the highest common divisor of q and 14? 14 Suppose -15 = 2*w - 5*j, -5 = -2*w - j + 10. What is the highest common factor of w and 5? 5 Let i(d) = -d**3 + 9*d**2 + 2*d - 6. Let u be i(9). Calculate the greatest common divisor of u and 96. 12 Let t be (-4)/(-5) - (2 + (-396)/30). What is the highest common divisor of 24 and t? 12 Let o(b) = 5*b - 6. Let a be o(4). Suppose 2*v = 3*k - 2*k - 8, 0 = -4*v + 3*k - 16. Let d be (-296)/(-3) + v/6. What is the highest common divisor of a and d? 14 Suppose -4*y = -2*u - 26, -2*u + 12 - 3 = y. Let k = -108 - -171. What is the greatest common divisor of y and k? 7 Let c(x) = 49*x**2 - x + 4. Let l(f) = -1. Let t(n) = c(n) + 4*l(n). Let p be t(-1). What is the greatest common factor of p and 20? 10 Suppose 7*m + 5*m - 108 = 0. What is the greatest common divisor of m and 1? 1 Let l = 42 - 38. What is the highest common factor of l and 4? 4 Let m(c) = -c**2 - 11*c - 8. Let n be m(-9). Suppose o - 73 = -5*p, 4*p - n = 2*o + 40. What is the highest common divisor of p and 7? 7 Let o(t) = t**2 + t - 6. Let q be o(-5). Let f be ((-3)/2 + 2)*q. Calculate the greatest common factor of f and 7. 7 Let j(p) = -p + 1. Let s be j(-7). Let b = 146 - 142. What is the highest common factor of s and b? 4 Suppose 5*l - 5 = -4*u + 2, 5*u = 3*l + 55. What is the highest common divisor of 72 and u? 8 Let a(m) = -7*m - 2. Let z be a(-14). What is the greatest common divisor of z and 32? 32 Let d = -125 - -148. What is the highest common factor of d and 92? 23 Let k = 75 - 20. Suppose 0*b = b - k. Suppose 33 + b = l. Calculate the greatest common divisor of 11 and l. 11 Let q = 392 + -269. Suppose m = 5*d - 63, -4*d + 0 = 4*m - 36. Let k be q/d + (-2)/8. What is the highest common factor of 30 and k? 10 Suppose -4*i + 5 = -211. Let u = 107 + -26. Suppose 3*m - u = -3*p + 33, 174 = 5*p - 3*m. Calculate the highest common factor of i and p. 18 Let s be (-1)/(-3) - (-134)/(-6). Let y be (1 - 3/2)*s. Suppose -2*v + 56 = 5*g + 3, 0 = -g + 4*v + 15. Calculate the greatest common divisor of g and y. 11 Suppose 0*t + 80 = 4*t. Let b be (-223 - 9/(-3))*-1. Calculate the highest common divisor of t and b. 20 Suppose 21 = 4*f + 1. Calculate the greatest common divisor of f and 20. 5 Let q(s) = 3 - 2*s - 2*s + 3*s + s**2 + 11. Let l be 2/(-4) - (-1)/2. Let j be q(l). What is the highest common divisor of 154 and j? 14 Suppose -2*d - 42 = -4*d. Suppose j + 4*j = 15, -j = -4*y + d. Let g be -1*(-2)/4*y. Calculate the highest common divisor of 3 and g. 3 Let t = -19 - -27. Calculate the highest common factor of t and 20. 4 Let l be 33/(-6)*2 - 3. Let v be 24/(-84) - 130/l. Calculate the highest common factor of 18 and v. 9 Let n(t) = t**2 - 4*t + 5. Let q be n(4). What is the highest common factor of 5 and q? 5 Let m = -30 + 21. Let t be 608/18 - 2/m. Suppose 204 = 4*y - 0*y. What is the highest common divisor of y and t? 17 Let p = 3 - -1. Suppose 2*w - p = 16. What is the greatest common divisor of w and 40? 10 Let z = -4 + 8. Suppose r = 4*f + z*r - 202, -r = -f + 54. What is the highest common factor of 13 and f? 13 Suppose 10 = -n + 3*n. Suppose 0 = 4*j - l - 2, -2*j + l + 1 = -1. Suppose -n*k + 60 = x - 3*x, -5*x = j. What is the greatest common factor of k and 3? 3 Let j be (-2 + 13)/(1/4). Let q = j - 24. Suppose -z + 27 = 2*g + g, 5*g + 65 = 2*z. What is the greatest common factor of z and q? 10 Let w(j) = -j - 28. Let k be w(0). Let d = -17 - k. Let c = 258 - 181. What is the highest common divisor of d and c? 11 Let g = 2 + 1. Let o be (2/g)/((-12)/(-414)). Let a(x) = x**3 - 7*x**2 + 4*x - 5. Let q be a(7). What is the highest common divisor of o and q? 23 Let h(d) = -d + 26. Let q be h(0). Suppose 479 = -3*o + 5*r, -4*r = -4*o + o - 475. Let s = 218 + o. Calculate the highest common factor of s and q. 13 Let p(t) = -2*t**3 - 5*t**2 - t. Let o = -5 - -2. Let z = o - 1. Let m be p(z). What is the highest common factor of m and 13? 13 Suppose 26 - 8 = 2*f. Let u be (-936)/(-15) - (-6)/10. What is the highest common factor of f and u? 9 Let k be -2 - (2 - 2) - 0. Let h = k + 14. Calculate the highest common divisor of h and 84. 12 Let i be 354/30 + 8/(-10). Let b = -4 + i. Calculate the highest common divisor of 28 and b. 7 Let b be (12/9)/(1/78). What is the highest common factor of 13 and b? 13 Suppose -4*g = -g - 3. Let f be (-5)/(-2) - g/2. Calculate the greatest common factor of f and 4. 2 Let o = 28 + -18. Calculate the greatest common factor of 80 and o. 10 Let d(m) = m**2 - 5*m + 1. Let u be d(7). Calculate the highest common divisor of 120 and u. 15 Suppose -7*w = -4*w - 48. What is the highest common divisor of w and 40? 8 Let m(j) = -j**3 + 5*j**2 - 5*j + 3. Let v be m(3). Suppose 5*r - 18 = 2*r. Let c = r + 12. What is the greatest common factor of v and c? 6 Let z(m) = m - 3. Let d be z(5). Calculate the highest common divisor of 18 and d. 2 Let q(g) = 7*g**2 - 1. Let v be q(1). Suppose -6*i + 230 + 58 = 0. Calculate the highest common factor of v and i. 6 Let n = -23 - -82. Suppose 2*d + 5*m = n, -3*m + 79 = 3*d - 14. What is the greatest common divisor of d and 80? 16 Suppose 5*n - 45 = -3*f + 5*f, 4*n - 20 = 0. Let u be (-76)/f + 4/10. Calculate the highest common divisor of u and 2. 2 Let w(n) = 12*n**2 - n + 2. Let l be -2*-1*(-4)/(-8). Let s be w(l). What is the highest common factor of 52 and s? 13 Let q be (-6)/5*(3 - (-122)/(-4)). What is the greatest common divisor of 22 and q? 11 Suppose -2*v = 5*y - 2*y - 18, 3*v = -2*y + 22. Suppose -4*q + v + 2 = 0. Calculate the highest common divisor of q and 4. 2 Let y = 2 + 8. Calculate the highest common factor of 40 and y. 10 Let a be (-6)/14 + 8253/49. What is the highest common divisor of 21 and a? 21 Suppose 3*a = -5*c + 681, 4*c = -0*c - 5*a + 550. Let t = -9 + 24. What is the greatest common divisor of t and c? 15 Suppose -24*g + 225 = -9*g. Calculate the highest common divisor of 90 and g. 15 Suppose -2*l = -0*l - 40. Suppose -5*q + l = -q. Suppose q*t + 4*w - 202 = 0, 4*w = 3*t + 2*t - 218. Calculate the highest common factor of t and 6. 6 Let g be 4*-1*75/(-12). Calculate the highest common factor of 5 and g. 5 Let f(x) = -4*x + 1. Let s be f(-2). Calculate the highest common factor of s and 1. 1 Suppose 3*t - 22 = t. Let j = 109 + t. Suppose g + j = 4*g. Calculate the greatest common divisor of 5 and g. 5 Let w(x) = -3*x**2 + 3*x - 4. Let b be w(-3). Let f = b - -57. What is the greatest common factor of 136 and f? 17 Let i = 34 + -20. Let p be 8/(6 + -2) - -3. Suppose p*w - 85 = 90. What is the highest common divisor of i and w? 7 Suppose 0 = -2*f - 9 + 165. Suppose -y = -3*y + f. Calculate the highest common divisor of 26 and y. 13 Let v(c) = 2*c - 7. Suppose -6*n + n = 2*l - 25, 1 = 2*l - 3*n. Let x be v(l). Let m be 5*(-1 - (x - 9)). Calculate the greatest common divisor of 5 and m. 5 Suppose 0*l - 3*l = 45. Let h = l + 45. What is the highest common divisor of h and 10? 10 Suppose 0 = -n - 0 + 1. Calculate the greatest common divisor of 4 and n. 1 Let u be 5/(-2)*1*-2. Let f = 3 - u. Let s = 13 + f. What is the highest common divisor of s and 88? 11 Let y = 9 - 16. Let r be y + 10 - (-1 + -91). Let i = 26 - 7. What is the greatest common factor of i and r? 19 Suppose n + 3*n - 20 = 0, 100 = 2*r + 4*n. Calculate the greatest common factor of r and 16. 8 Let m be (-1 - 9)/(0 - 1). Let x be 0/((2 + -1)/1). Suppose -4*w + h = -h - 208, w - 3*h - 62 = x. What is the greatest common divisor of m and w? 10 Suppose q - 13 - 15 = 0. Let b(w) = 5*w**2 - 1. Let h be b(1). What is the highest common divisor of q and h? 4 Let z = -16 - -44. Calculate the greatest common factor of z and 42. 14 Suppose -c - 2*b = 3*b - 18, 4*c = 4*b - 24. Let k = 4 + c. Let d be 0 - (3 - 2 - k). What is the highest common divisor of 1 and d? 1 Suppose 12 = -4*a - 0*a. Let v be (42/(-9) - 2)*a. What is the greatest common divisor of v and 50? 10 Let g(x) = 2*x**3 - x**2 - 3. Let w be g(2). What is the greatest common divisor of w and 18? 9 Suppose -q - 22 = -2*w, -11*q + 13*q + 20 = 2*w. Let s = -22 - -40. What is the highest common factor of s and w? 6 Let o be 1*11*(7 - 6). Let m = 24 - o. Calculate the greatest common divisor of m and 143. 13 Let x(h) = h**3 + 10*h**2 +
{ "pile_set_name": "DM Mathematics" }
29576? False Is 8 a factor of 56518016? True Is 777 a factor of 1499287723? False Does 28 divide 2130159? False Does 15 divide 719537745? True Is 4527997 a multiple of 321? False Is 292 a factor of 492771024? True Is 79 a factor of 4024889750? False Is 33398885 a multiple of 58? False Is 67690080 a multiple of 288? True Does 31 divide 8673031? False Is 16601187 a multiple of 971? True Is 115302 a multiple of 5? False Does 822 divide 66685572? True Is 42456700 a multiple of 239? False Is 90290851 a multiple of 505? False Does 8053 divide 1226818179? True Is 62 a factor of 11179507? False Is 940979393 a multiple of 61? False Is 321 a factor of 19385527? False Is 687954506 a multiple of 43? True Is 88774225 a multiple of 25? True Does 213 divide 490407792? True Is 237 a factor of 472699423? False Is 6508 a factor of 1660167914? False Is 6 a factor of 107751064? False Does 8 divide 24370974? False Is 506 a factor of 87642788? False Is 165052496 a multiple of 16? True Is 12397 a multiple of 2? False Is 12685 a factor of 940326365? True Is 136555186 a multiple of 391? True Does 24 divide 19798056? True Is 1012 a factor of 260496896? True Is 73900729 a multiple of 12? False Is 696 a factor of 50921448? True Does 49 divide 94145856? True Is 94087917 a multiple of 5313? True Does 162 divide 2955933648? True Is 536744681 a multiple of 407? True Is 15 a factor of 4982161516? False Does 13 divide 35718020? True Does 1221 divide 71147670? True Is 567 a factor of 51400261? False Is 23336654 a multiple of 313? True Does 83 divide 18958279? True Is 3 a factor of 4989412? False Is 296268 a multiple of 21? True Is 1247 a factor of 138433211? True Does 58 divide 75190040? True Is 790 a factor of 728871610? False Is 51869860 a multiple of 98? False Is 260016378 a multiple of 58? True Is 16 a factor of 243712064? True Does 58 divide 35881713? False Is 1687896816 a multiple of 17? True Is 52 a factor of 549454724? True Is 14970098 a multiple of 26? True Is 3093995 a multiple of 1027? False Does 10 divide 84994917? False Is 188239818 a multiple of 809? False Is 33277079 a multiple of 410? False Is 1253254717 a multiple of 179? True Is 2272322048 a multiple of 1989? False Does 52 divide 104119652? True Is 61 a factor of 54995953? True Is 697 a factor of 39317770? True Is 274564200 a multiple of 450? False Is 26602429 a multiple of 156? False Is 11 a factor of 168946217? True Does 3898 divide 2658487? False Is 8 a factor of 26669695? False Is 606309470 a multiple of 815? True Is 147 a factor of 131061966? True Does 6 divide 1018686? True Is 7 a factor of 254542204? True Is 504 a factor of 625862160? True Is 53651037 a multiple of 121? True Does 1092 divide 79325064? True Does 643 divide 271026429? True Does 395 divide 28210772? False Is 223 a factor of 960633237? False Is 345887655 a multiple of 185? True Is 6737011 a multiple of 491? True Does 27 divide 284058333? True Does 16 divide 62515726? False Is 18532771 a multiple of 17? True Is 342690898 a multiple of 11? True Is 119 a factor of 521970414? True Is 4554681174 a multiple of 397? False Is 513398160 a multiple of 664? True Is 4 a factor of 169202060? True Does 1262 divide 70245963? False Does 1036 divide 2448360152? True Does 315 divide 254573865? True Is 152855846 a multiple of 13? True Is 2010264809 a multiple of 41? True Is 14507112 a multiple of 984? True Is 429 a factor of 1571288987? False Does 13 divide 38192180? True Is 45 a factor of 949894245? True Is 524 a factor of 30575161? False Does 9 divide 5965812? True Is 52 a factor of 6589533? False Does 51 divide 351449415? True Is 176619080 even? True Does 2096 divide 17891456? True Is 76010272 a multiple of 356? True Is 5867216844 a multiple of 2821? False Is 10 a factor of 344173570? True Does 1239 divide 3517794819? True Does 1107 divide 18973980? True Is 11739009 even? False Is 1978 a factor of 293163336? True Does 453 divide 96031017? True Is 69 a factor of 29092807? False Does 221 divide 6563832379? True Is 12 a factor of 1109340? True Does 156 divide 70713864? True Is 979417616 a multiple of 4831? True Is 73141839 a multiple of 3139? True Is 38009308 a multiple of 315? False Is 21 a factor of 36835142? False Is 804992235 a multiple of 47? False Is 43582750 a multiple of 147? False Is 587427880 a multiple of 746? False Is 265071240 a multiple of 56? True Is 1346 a factor of 410891447? False Does 64 divide 4947904? True Is 637 a factor of 1049906431? False Does 2629 divide 73485816? False Is 384560112 a multiple of 4? True Does 8397 divide 2329079296? False Is 19092350 a multiple of 50? True Does 12 divide 2687218883? False Is 1887727336 a multiple of 4213? True Does 1326 divide 42799302? True Is 24691484 a multiple of 162? False Is 2027462431 a multiple of 6? False Is 714371449 a multiple of 209? False Does 53 divide 93305764? False Is 141 a factor of 244454943? True Does 28 divide 1146236924? True Is 7220 a factor of 281240660? True Is 18 a factor of 687809196? True Is 41690775 a multiple of 25? True Does 6394 divide 99077218? False Is 74 a factor of 993861354? False Is 763072996 a multiple of 9488? False Is 540003846 a multiple of 547? False Does 13 divide 55618683? False Is 355 a factor of 46255435? True Is 3587949360 a multiple of 2280? True Is 4081605078 a multiple of 69? False Does 138 divide 224889847? False Is 25 a factor of 1391597373? False Is 857 a factor of 13726669? False Is 527 a factor of 118746581? False Is 127 a factor of 259889339? False Does 1075 divide 1091738825? True Does 1882 divide 288653632? True Is 31201020 a multiple of 970? True Does 312 divide 562861104? True Does 2190 divide 107993280? True Does 45 divide 3177183? False Does 698 divide 823427110? True Is 30142138 a multiple of 146? True Does 921 divide 8726525? False Is 1031996 a multiple of 14? True Is 66 a factor of 1275186? True Is 38151095 a multiple of 17? False Does 482 divide 147439944? True Does 72 divide 1473459192? True Is 293712272 a multiple of 982? True Is 1342763053 a multiple of 553? False Is 158654280 a multiple of 62? True Does 79 divide 336788313? False Is 28 a factor of 57775581? False Is 1544 a factor of 52384832? True Is 982027116 a multiple of 252? True Is 83 a factor of 80092083? False Is 545548877 a multiple of 11? False Does 18 divide 58529754? True Is 1352 a factor of 29739593? False Does 1405 divide 24787010? True Is 3168593 a multiple of 15? False Is 24 a factor of 29145827? False Does 194 divide 347556626? True Is 195 a factor of 301524503? False Is 959295109 a multiple of 5? False Is 2443 a factor of 873560611? True Is 2 a factor of 37645681? False Does 5529 divide 983614629? True Does 1995 divide 1043823745? False Is 8 a factor of 39446263? False Does 52 divide 146014960? True Does 22 divide 23075100? False Is 3942 a factor of 257073588? True Is 366 a factor of 42957420? True Is 102238559 a multiple of 59? False Is 3775797 a multiple of 1493? True Does 12 divide 2070934140? True Is 321102 a multiple of 9? True Does 6 divide 114330984? True Is 24 a factor of 229091211? False Is 5 a factor of 2364884357? False Does 266 divide 3147192? False Does 26 divide 54044362? False Is 109817139 a multiple of 1028? False Is 79701888 a multiple of 96? True Is 16 a factor of 7065440? True Does 535 divide 504274733? False Does 70 divide 426158110? True Is 1196 a factor of 305880704? False Is 55 a factor of 11472285? True Does 1776 divide 840907180? False Is 2835390 a multiple of 30? True Is 38195088 a multiple of 2386? True Is 1147 a factor of 83519952? True Does 209 divide 2464319? True Is 10631431 a multiple of 88? False Is 903 a factor of 10124436? True Is 14 a factor of 311292800? True Is 10 a factor of 62183600? True Is 68396322 a multiple of 882? False Is 13161990 a multiple of 15? True Does 994 divide 14490915? False Does 12 divide 473315784? True Is 110 a factor of 368072980? True Does 29 divide 2034495? True Is 401 a factor of 1491095118? False Is 926 a factor of 157875477? False Is 68399824 a multiple of 422? False Is 20 a factor of 2368220? True Is 5673848606 a multiple of 2637? False Does 128 divide 53274880? True Is 10369645 a multiple of 55? True Does 49 divide 3765534072? False Is 1531478806 a multiple of 754? True Does 10 divide 18882710
{ "pile_set_name": "DM Mathematics" }
0 = 2*y + 4*b. Let v(j) = 0 - 4 + j + j**2 + y. What is v(-4)? 9 Suppose -1 = 4*t - 17. Let v be 0/(-1) + t/2. Let l(p) = v*p + 1 - 8*p + 5*p. Calculate l(2). -1 Let d be 2/9 - (-1963)/117. Let r(b) = -d*b**2 + 18*b**2 + 2*b - 7*b + 2. What is r(4)? -2 Let v(z) be the first derivative of -z**3/3 + 11*z**2/2 - 9*z - 71. Give v(10). 1 Let p = 30 - 26. Let j(f) = -f**3 + 6*f**2 - 7*f + 5. What is j(p)? 9 Let z(n) be the second derivative of -n**5/20 - 5*n**2 - 13*n. Let g be 0/(1/(-1) - -2). Determine z(g). -10 Let f(d) = d + 1. Let y(k) = k. Let r = 9 + -7. Let g(c) = r*y(c) - 3*f(c). Calculate g(-5). 2 Suppose 2*u = -2*u + 16. Suppose j + 10 = 6*j. Let t(a) = a - j*a + 3 + 0. Give t(u). -1 Let s(n) = -3*n. Let h be s(-1). Let f(g) = g**3 + 0*g**h - g + g + 4 + 3*g**2 - 2*g. What is f(-3)? 10 Let j(q) = q**3 + 7*q**2 + 2*q + 3. Let t be j(-7). Let z = t - -15. Let f(h) = -1 + 2*h - 13*h**2 + 8*h**2 + z*h**2 - 6*h**3. Give f(1). -6 Let d(n) = -n**3 - 2*n**2 - 2*n - 2. Let p be d(-2). Let i(k) = 2*k - 4*k - k**p - 3 - 2*k. Let c = -1 + -1. Determine i(c). 1 Let m(l) = l**2 + 6*l + 3. Let w be (2 + 0)*(1 - 3). What is m(w)? -5 Let u(l) be the second derivative of l**5/10 + l**4/12 + l**3/6 - l + 10. Suppose -2 - 2 = 4*p. Calculate u(p). -2 Let d(u) = -3*u**3 - 17*u**2 + 3*u + 9. Let y(j) = -2*j**3 - 9*j**2 + j + 5. Let k(h) = 3*d(h) - 5*y(h). Calculate k(5). -3 Let g(t) = -t + 1. Let u(z) = -4*z + 4. Let n(x) = -5*g(x) + u(x). What is n(6)? 5 Let d(q) = 9 - 8 - 10*q + 9*q. Determine d(-5). 6 Let f(j) be the first derivative of -j**4/12 + 5*j**3/6 + j**2/2 + 5*j - 3. Let i(s) be the first derivative of f(s). Calculate i(6). -5 Let j(s) = -11*s**3 + 3*s**2 - 2*s + 3. Let c(o) = -o**2 - 1. Let y(n) = 4*c(n) + j(n). Calculate y(-1). 11 Let y = -81 - -88. Let c(w) = -w**2 + 7*w + 7. Calculate c(y). 7 Let x be 2*1/(-2)*-5. Suppose 0 = x*b + 2 - 7. Let k be (-3)/3*b + -3. Let d(v) = v**3 + 4*v**2 - 3*v - 6. What is d(k)? 6 Let z(v) = -2*v**3 - 5*v**2 - 6*v - 2. Let s(g) = -2*g**3 - 4*g**2 - 5*g - 2. Let w(a) = 7*s(a) - 6*z(a). Determine w(2). -8 Let u(q) = -q + 6 + 3*q**3 - 7 - q - q**2 - 2*q**3. Give u(-2). -9 Let u(w) = 6*w - 3. Suppose -2 = -2*y - 2*l, 0 = -2*y - l - 1 + 4. What is u(y)? 9 Let n(u) = -u**3 + u**2 - u - 11. Let d = 27 - 27. Give n(d). -11 Let g(r) = 1 + 1 - 1. Let u(i) = 3*i + 1. Let a(l) = -4*g(l) + u(l). Give a(3). 6 Let g(p) be the first derivative of p**3/3 + 4*p - 3. Give g(0). 4 Let x(c) = c**3 - c**2 - 2*c - 1. Let d(p) = 7*p**3 - 7*p - 1. Let j(t) = d(t) - 6*x(t). Calculate j(-6). -25 Let t(q) = q + 3*q + 2*q**2 + 0 + 2. Let o(n) = -n + 11. Let k be o(6). Suppose -k*s - 14 + 4 = 0. What is t(s)? 2 Let f = 7 + 4. Let l = f - 8. Let w be ((-1)/l)/((-1)/9). Let i(t) = -2*t + 4. Calculate i(w). -2 Let q(r) = 2*r**3 - 13*r**2 - 5*r - 9. Let t be q(7). Let m(z) = -z**2 + 6*z - 7. What is m(t)? -2 Let i be (2/2)/((-2)/(-10)). Let y(j) = j**2 - 10*j + 2. Let l be y(10). Let p(h) = -3 - 2*h**l + h**2 - i*h + 3*h. What is p(-2)? -3 Let i(h) = h**3 - 7*h**2 - h + 3. Suppose 77 = 2*g + 9*g. Calculate i(g). -4 Let y be (-1)/(-2) + 2/4. Let x(o) = -12*o + 1. What is x(y)? -11 Suppose -60 = -5*s + s. Suppose -3*h = 2*h + q + s, -12 = 4*h + q. Let u(r) = -r**2 + 4. What is u(h)? -5 Let x = 8 + -5. Let k(v) = 3 - v**2 + 3*v + 0*v**2 + x*v**2. Calculate k(-2). 5 Let j(i) = -93*i - 2 + 51*i + 46*i. Determine j(2). 6 Let h(z) = z**2 - 11*z + 28. Let q be h(7). Let t(x) = -x**2 - x + 3. Determine t(q). 3 Let w(z) = -2*z**3 - z**2 - z - 1. Let u(h) = -h**2 + 7*h + 6. Let j be u(7). Let n be (-4)/j - (-30)/18. Let q be (1*-2 + 1)/n. Calculate w(q). 1 Let d(l) = -3*l - 6. Let n be 0 + (-2)/(2/11). Let i = n - -20. Suppose 4*c + 5*b = i, -3*b + 45 = -5*c + 10. Calculate d(c). 6 Let n(z) = -4*z**2 + 1. Let h be n(1). Let j(k) = 0 - 1 - 7*k - 40*k**2 + 39*k**2. Determine j(h). 11 Let u = -1 + 21. Suppose 4*n - u = -0. Let b(f) be the first derivative of f**2/2 + 2*f - 2. Give b(n). 7 Let k(v) be the first derivative of v**5/20 - v**3/6 + v**2/2 - 1. Let t(p) be the second derivative of k(p). Let o be 5*(-5)/20 + (-1)/(-4). Give t(o). 2 Let y(z) = z**2 - 4*z - 2. Let t(k) be the third derivative of k**5/60 - k**4/24 - 5*k**2. Let o(f) = -4*t(f) + 2*y(f). Calculate o(-3). -10 Let z be ((-2)/(-2))/(2/(-10)). Let q(h) be the first derivative of h**2/2 + 6*h - 12. What is q(z)? 1 Let c = -8 - 1. Let j(o) = -o**3 - 9*o**2. Calculate j(c). 0 Let a(p) = 5*p**2 + 4 - p - 4*p**3 + 6*p**3 - 3*p**3. Let c be ((-27)/162)/((-1)/30). Determine a(c). -1 Let r(w) be the first derivative of w**2/2 - w + 3. What is r(3)? 2 Let p(m) = -m + 6. Let v(u) be the second derivative of -u**5/20 - 5*u**4/6 - u**3/6 - 5*u**2/2 - 2*u. Let l be v(-10). What is p(l)? 1 Suppose 2*b = -3*b + 20. Suppose 3*z - 15 = 0, -2*u - 3*z + b = -13. Let m(t) = -6 + u + t + 7 + 8. What is m(-5)? 5 Let w(b) = -b + 2. Let q(m) = m**3 - 10*m**2 - 11*m + 5. Let c be q(11). Determine w(c). -3 Let o(y) be the first derivative of -y**4/4 + 5*y**3/3 + y - 2. Let l be o(5). Let u(r) = -2*r - r**2 + r - l - 3*r**3 + 0*r**3. What is u(-1)? 2 Suppose 0 = -a + 2, -6*a + 55 = -5*k - a. Let w be 4/(-18) - 2/k. Let i(n) be the first derivative of -n**4/4 - n**3/3 - n**2/2 - 4*n + 2. Give i(w). -4 Suppose 5*y + 3*k + 2 = 0, -y + 3*k = 2*y - 18. Suppose 0 = 4*m + 2 - 10. Let w(z) = -m*z + 2*z**3 - z**3 - 3*z**2 - 1 + 4*z. Calculate w(y). -1 Let r = 6 + -3. Suppose 2*o + 4 = 0, x - 4*o - 8 - 3 = 0. Let b(i) = x - 3 + i**2 - 5*i + 3. Determine b(r). -3 Suppose 4*m - 2 = 14, -8 = 4*o - 4*m. Let d(c) = -6*c + 2. Determine d(o). -10 Let a(u) = 5*u**3 - 1. Suppose 4*x + 3*n - 14 = n, 0 = 3*x - 4*n + 17. Give a(x). 4 Suppose -n + 5*w - 12 = 0, 3*n + 4*w - 7 = 14. Let t(m) be the second derivative of m**3/6 + 3*m. Let a be t(n). Let v(i) = -i**2 + 3*i - 4. Give v(a). -4 Let b be (-2)/(-3) - (-28)/(-6). Let x = b + 8. Let s(u) = -u**2 + 6*u - 2. Give s(x). 6 Let t = -12 - -9. Let z(q) = -q**3 - 4*q**2 - 4*q + 1. Let u be z(t). Let x(g) = 8 - 2 + 0*g - 2*g. Determine x(u). -2 Let w be ((-38)/4)/(2/4). Let x = w + 15. Let f(j) = j**3 + 5*j**2 + 5*j. Determine f(x). -4 Suppose 5*v - 20 = v. Let j(a) = -a**2 + a + 2. Give j(v). -18 Let c(y) = -y**3 - 6*y**2 - 5*y + 4. Let m be c(-5). Let i = -5 + m. Let a(g) = -3*g**3 - 1. Give a(i). 2 Let j be 1/(2 + 10/(-6)). Let a(r) = -r**2 - 7*r + r + j*r. Give a(-4). -4 Let c(j) be the first derivative of j**4/4 - j**2/2 + 3*j + 1. Let w(a) = a**2 - 1. Let u be w(0). Let l = 1 + u. Determine c(l). 3 Let y = 2 - -1. Suppose -p = y*p - 20. Let c(u) = u - u**2 - 2 + 4*u + 1. Give c(p). -1 Let x(w) = -1. Let l(z) = z. Let o(n) = -3*l(n) + 3*x(n). Let s(r) = -r**2 - 3*r + 2. Let v be s(-4). Give o(v). 3 Let j(s) = 2*s - 3. Let o(k) = -k + 8. Let x be o(4). Let h = x - 2. What is j(h)? 1 Let b be 0/1 - (4 + -2). Let h(u) = 2*u - 1. Let n be h(b). Let l(p) = -8 - 1 + 4*p - 5*p + 2. Calculate l(n). -2 Let d(o) = o**3 + 7*o**2 + 7*o + 2. Suppose -6*x - 38 + 2 = 0. Calculate d(x). -4 Let d(o) = -o + 4. Let f = -13 - -17. Give d(f). 0 Suppose 1 = -y + 4*p - 6*p, 4*y + 2*p = 8. Let f(s) be the third derivative of 3*s**2 + 0*s**4 + 0*s - 1/60*s**5 + 0*s**y + 0. What is f(-2)? -4 Let b(i) be the second derivative of i**3/2 - 3*i**2/2 + 2*i. Determine b(3). 6 Suppose -3*z = -9 - 6. Let f(n) be the third derivative of -n**6/120 + n**5/12 - n**3 - 4*n**2. What is f(z)? -6 Let z(g) = 2*g**2 - g + 2. Suppose 0*k + 4 = -2*k. What is z(k)? 12 Let l be (-9)/(-6)*(-4)/6. Let n be 2 - (5 + 0 + l). Let a be 0/(2/n*-1). Let y(g) = g**2 + 3. Determine y(a). 3 Let g be 1 + 0 - (1 - 3). Let m(n) = 0*n - 3 + n**2 - 7*n + g*n. Give m(4). -3 Let a(v) = 2*v**2 + v. Suppose 3*f = -0*k - k + 14, -2*f + 16 = 4*k. Let u(o) = -o**3 + 4*o**2 + o - 4. Let x be u(4). Suppose k*t + 0 - 2 = x. Determine a(t). 3 Let c(q) = -q + 4. Suppose -4*i + 1 + 7 = 0. What is c(i)? 2 Let s(y) = y**2 + 698*y - 707*y - 9 - 2*y**2. Give s(-8). -1 Suppose -2*j + 3*j = 33. Let q(g) = j + 5*g**2 - 18 - 16. Give q(-1). 4 Let x(u) = 3*u**2 + u. Let i be x(1). Let j be i/(-6) - (-42)/9. Suppose j*v + v - 15 = 2*m, -m - 3 = 2*v. Let b(c) = 3*c**3 + c**2 + c - 1. Determine b(v). 4 Let k(s) be the second derivative of s**6/360 - 7*s**5/120 - 3*s**4/8 +
{ "pile_set_name": "DM Mathematics" }
ur letters picked without replacement from {r: 1, q: 8, j: 11}? 154/2907 Three letters picked without replacement from llnmum. Give prob of sequence mmm. 0 What is prob of sequence lloe when four letters picked without replacement from lkeokll? 1/140 Three letters picked without replacement from {l: 2, v: 2, e: 1, k: 1, b: 2}. What is prob of sequence vkv? 1/168 Two letters picked without replacement from raaaeaiaiaraa. What is prob of sequence ri? 1/39 Three letters picked without replacement from {w: 2, n: 4, i: 6}. Give prob of sequence iwi. 1/22 Two letters picked without replacement from {z: 1, c: 1, h: 1, y: 1, m: 1}. What is prob of sequence cy? 1/20 Four letters picked without replacement from {u: 9, g: 11}. What is prob of sequence uugg? 22/323 Two letters picked without replacement from {m: 1, k: 1, o: 2, h: 1, u: 1, i: 1}. What is prob of sequence oh? 1/21 Calculate prob of sequence oo when two letters picked without replacement from vvvvoloujvkvvk. 1/91 What is prob of sequence mmk when three letters picked without replacement from {m: 2, f: 1, b: 1, k: 3}? 1/35 Three letters picked without replacement from momommooooomommmmo. Give prob of sequence omo. 9/68 What is prob of sequence pksn when four letters picked without replacement from ppknppnpppppsxxpx? 1/2856 Two letters picked without replacement from ppppppp. Give prob of sequence pp. 1 What is prob of sequence cy when two letters picked without replacement from {y: 3, p: 3, c: 1}? 1/14 Calculate prob of sequence dke when three letters picked without replacement from errlldeekkelddeek. 9/680 Calculate prob of sequence ddk when three letters picked without replacement from {l: 2, k: 4, a: 6, d: 3, s: 2}. 1/170 Two letters picked without replacement from iippvviiiii. Give prob of sequence vp. 2/55 What is prob of sequence ggbu when four letters picked without replacement from uggbuuuug? 5/504 What is prob of sequence mr when two letters picked without replacement from rrrrmrmm? 15/56 Four letters picked without replacement from pkmmk. What is prob of sequence mmkk? 1/30 Two letters picked without replacement from {o: 1, f: 1, d: 1, m: 2, t: 1, w: 1}. Give prob of sequence tm. 1/21 Calculate prob of sequence pz when two letters picked without replacement from {o: 1, a: 1, e: 1, z: 1, p: 1, q: 2}. 1/42 Four letters picked without replacement from {h: 4, b: 16}. What is prob of sequence bhhb? 8/323 What is prob of sequence bb when two letters picked without replacement from hhbdmdedddbbdbddeb? 10/153 Three letters picked without replacement from {i: 6, l: 5, e: 4, n: 1}. What is prob of sequence lln? 1/168 Two letters picked without replacement from {z: 2, k: 5, u: 4, t: 1, p: 2}. What is prob of sequence kk? 10/91 Three letters picked without replacement from qyrxqlxsyqql. What is prob of sequence yrq? 1/165 Calculate prob of sequence lt when two letters picked without replacement from {j: 1, d: 3, i: 3, t: 3, l: 1}. 3/110 Two letters picked without replacement from ssseqssesesesseeses. Give prob of sequence eq. 7/342 Calculate prob of sequence uurr when four letters picked without replacement from {m: 2, j: 5, r: 3, y: 2, c: 1, u: 7}. 7/3230 What is prob of sequence kbbi when four letters picked without replacement from {i: 7, k: 3, b: 9}? 21/1292 Two letters picked without replacement from {u: 6, a: 6, f: 1, v: 4}. Give prob of sequence vu. 3/34 Four letters picked without replacement from cfltptptpttqfpcpp. Give prob of sequence pctc. 1/952 Four letters picked without replacement from ciczccrjr. What is prob of sequence cric? 1/126 Calculate prob of sequence jei when three letters picked without replacement from iejjcieeeee. 4/165 What is prob of sequence spsc when four letters picked without replacement from {d: 1, s: 6, w: 1, p: 4, c: 3}? 1/91 What is prob of sequence wwlw when four letters picked without replacement from {w: 7, l: 1}? 1/8 Calculate prob of sequence ze when two letters picked without replacement from zzzzzzhhhehhe. 1/13 Four letters picked without replacement from {w: 9, z: 2}. Give prob of sequence wwwz. 7/55 Calculate prob of sequence nh when two letters picked without replacement from {h: 6, n: 12}. 4/17 Two letters picked without replacement from avpvvppapyuvpuappvv. What is prob of sequence pa? 7/114 Three letters picked without replacement from {u: 1, n: 1, g: 1, a: 2, i: 2, q: 1}. Give prob of sequence gaa. 1/168 Four letters picked without replacement from kvqytqtkyttkyqttwtqy. What is prob of sequence yqkw? 2/4845 Calculate prob of sequence chc when three letters picked without replacement from olqlcwlhcqc. 1/165 Two letters picked without replacement from pangnan. Give prob of sequence pn. 1/14 What is prob of sequence boon when four letters picked without replacement from {h: 1, t: 9, b: 2, o: 2, n: 4, i: 2}? 2/14535 Calculate prob of sequence meo when three letters picked without replacement from {e: 1, m: 1, f: 1, o: 6}. 1/84 What is prob of sequence vl when two letters picked without replacement from uiulvnluuuiuivvui? 3/136 What is prob of sequence tk when two letters picked without replacement from tmkm? 1/12 Two letters picked without replacement from {e: 5, l: 1, v: 2, y: 4, w: 4}. Give prob of sequence el. 1/48 What is prob of sequence jjuq when four letters picked without replacement from jujujuq? 3/140 Two letters picked without replacement from qqxiqymxqqxqqyxxq. Give prob of sequence ix. 5/272 Two letters picked without replacement from nndnnnnnnnd. Give prob of sequence dd. 1/55 Three letters picked without replacement from {d: 1, i: 3, b: 1, y: 1, x: 6, r: 1}. What is prob of sequence xbi? 3/286 What is prob of sequence xxzx when four letters picked without replacement from {z: 2, x: 4}? 2/15 What is prob of sequence yy when two letters picked without replacement from {z: 4, y: 6}? 1/3 Two letters picked without replacement from rrrarrrrrrrrrrrrrc. Give prob of sequence ac. 1/306 Calculate prob of sequence www when three letters picked without replacement from {y: 11, w: 2}. 0 What is prob of sequence uqc when three letters picked without replacement from uqccqccccc? 7/360 Calculate prob of sequence ttb when three letters picked without replacement from tbbtbbtbbb. 7/120 Two letters picked without replacement from {m: 1, u: 1, n: 5, e: 1, d: 2}. What is prob of sequence me? 1/90 Two letters picked without replacement from wwwyy. What is prob of sequence wy? 3/10 Four letters picked without replacement from mkmmvgkpgg. Give prob of sequence gpkm. 1/280 Calculate prob of sequence bs when two letters picked without replacement from sbbbbbbsbb. 8/45 Two letters picked without replacement from {w: 3, x: 4}. What is prob of sequence ww? 1/7 Four letters picked without replacement from eeteptnatnee. Give prob of sequence peae. 1/594 What is prob of sequence vs when two letters picked without replacement from {v: 2, s: 2}? 1/3 Four letters picked without replacement from uttvuvtvv. Give prob of sequence vuvt. 1/42 Two letters picked without replacement from oqsmsmqqsssas. Give prob of sequence sm. 1/13 Three letters picked without replacement from {a: 2, d: 4}. Give prob of sequence ddd. 1/5 Four letters picked without replacement from ejeeyeeylyy. Give prob of sequence jeye. 1/99 Four letters picked without replacement from {k: 9, z: 3, b: 2, e: 2}. What is prob of sequence kbze? 9/3640 Three letters picked without replacement from {m: 7, y: 8, q: 3}. What is prob of sequence qmq? 7/816 Calculate prob of sequence dxng when four letters picked without replacement from gdndddxffgxdfxg. 1/728 Calculate prob of sequence tm when two letters picked without replacement from {w: 1, m: 1, t: 1}. 1/6 Three letters picked without replacement from {f: 7, k: 3}. What is prob of sequence fff? 7/24 Calculate prob of sequence jrjr when four letters picked without replacement from {r: 7, j: 2, u: 11}. 7/9690 What is prob of sequence tei when three letters picked without replacement from {s: 1, t: 1, e: 2, i: 1}? 1/30 Calculate prob of sequence llz when three letters picked without replacement from {z: 2, l: 2}. 1/6 What is prob of sequence rvg when three letters picked without replacement from {e: 2, g: 1, v: 2, r: 1}? 1/60 What is prob of sequence wsv
{ "pile_set_name": "DM Mathematics" }
b/(b*b**7))/b*b)))**(-44) assuming b is positive. b**(-3212) Simplify ((z*z**10)**(-19))**16 assuming z is positive. z**(-3344) Simplify (a**(-2)*a*((a/(a*a/(a/((((a**(-1/14)/a)/a*a*a)/a)/a))))/a)/a)/(a*a**(-3/2)/a)**21 assuming a is positive. a**(214/7) Simplify n**(-3)*n*n**(8/11)/n*n*n**(6/13)*(n/(n/(n/n**14)))/n assuming n is positive. n**(-2118/143) Simplify z/(z**(-1/9)/z)*z**(-14)*z*z**(-2/19)/(z**(-3/7)*z*z) assuming z is positive. z**(-15041/1197) Simplify (r/(r*r/r**(-4)))**(-36)*r**(-13/3)/r**(3/2) assuming r is positive. r**(1045/6) Simplify (x/(x*x**13))/(x/x**3)*x**(-2/67)*x**15 assuming x is positive. x**(266/67) Simplify ((a**(1/3))**(2/21)/(a**(-1/2))**(-5))**28 assuming a is positive. a**(-622/9) Simplify p**(-10)/(p/((p**(13/5)*p)/p*p))*(p**(2/11)/p)**(-11) assuming p is positive. p**(8/5) Simplify t**(2/91)/(t*(t*t/(t/t**(-22))*t)/t*t)*(t**(-2/69))**30 assuming t is positive. t**(37993/2093) Simplify ((s*s**(-13)*s)/s)/s**8*(s**(-2/7)*s)**(-5) assuming s is positive. s**(-165/7) Simplify (z/(z**(2/79)*z*z)*z/(z/((z/(z*z/(z**(-1)/z)))/z))*z*z)**(3/5) assuming z is positive. z**(-717/395) Simplify h*h**(-12)*h*h**(-11/4)*(h*h/((h/(h**(3/22)*h))/h)*h)**(3/2) assuming h is positive. h**(-72/11) Simplify (c/(((c/(c*c*c**(1/6)))/c)/c))**(1/7)/(((c*c/((c/((c/(((c*c**(-1/5))/c)/c))/c)*c)/c))/c)/((c*c**(1/10))/c)) assuming c is positive. c**(-53/105) Simplify ((b*((b/(b**(-1)/b))/b)/b)/b)**(-9/10)*b*b**(-10)*b**(1/6) assuming b is positive. b**(-146/15) Simplify (b*b**3/b*b/(b*b/(b/(b*b**(2/33)))*b*b)*b)**(-7/5) assuming b is positive. b**(-217/165) Simplify r/r**9*r*r**(-1/7)*r**13/((r**(-7)*r)/r) assuming r is positive. r**(90/7) Simplify (((h*h/(h**1*h))/(h*h/h**(-3/5)))/(h*h/h**(1/4)*h)**(-3/26))**(-4/9) assuming h is positive. h**(1187/1170) Simplify (((f/(f**(2/51)/f))/(f/(f*f**(8/9))))**(3/43))**(-18) assuming f is positive. f**(-2616/731) Simplify ((k*k/(k/k**(-2/19))*k**11*k)/(k**(-8)*k*(k**8/k)/k))**(-4/3) assuming k is positive. k**(-352/19) Simplify ((z/(z/(z/z**(-1/4))*z)*z/z**3)/(z**(2/3))**12)**(39/4) assuming z is positive. z**(-1521/16) Simplify (o**2)**(4/35)*(o*o**(-6/11)*o)/o*o**(-2) assuming o is positive. o**(-507/385) Simplify (((x*x/(x*x*x**(-6)))/x)/((x**(-2/33)*x)/x))**7 assuming x is positive. x**(1169/33) Simplify (f**(-1/4)*f/(f**1*f))/((f/(f**(2/5)/f))/(f/(f*f**(-2/25)/f*f))) assuming f is positive. f**(-277/100) Simplify ((((u/(u/((u*u**(3/2))/u*u)))/u*u)/u**(-3/2))/(u**(2/17)*u**0*u*u))**33 assuming u is positive. u**(1056/17) Simplify (a*a/a**(-1/6)*a)**(-13)*a**(-5)*a**11*a*a assuming a is positive. a**(-199/6) Simplify ((i/(i*i**(-2/37)/i*i)*i)/i**(-6))/(i**1)**34 assuming i is positive. i**(-997/37) Simplify (u**(-2)*u)**25*u**(2/5)*u/(u/u**(1/4))*u assuming u is positive. u**(-467/20) Simplify ((j/(j/(j/(j**(1/6)/j))))/(j/(j**(-1/8)*j)))/(j**11*j*j*j*j**(4/7)*j) assuming j is positive. j**(-2329/168) Simplify (f**(-5)*f**(-1/9))**(-30/7) assuming f is positive. f**(460/21) Simplify ((n/(n/(n**(1/7)*n))*n)/n*n*n/n**(-5/4))/(n**(-2)/n)**(2/131) assuming n is positive. n**(16281/3668) Simplify (l**(2/7)*l*l**(4/9))/(l/(l**(3/2)*l))**(14/9) assuming l is positive. l**(256/63) Simplify (q**(3/2)*q)**(8/11)*q**(-3)/q**(-7) assuming q is positive. q**(64/11) Simplify (u**(-1)/u*u**(-10))/(u**(-1))**(-25/3) assuming u is positive. u**(-61/3) Simplify ((x**(-41))**26)**(2/17) assuming x is positive. x**(-2132/17) Simplify ((z**(-4/13)/z)/z)/z**(-8/5)*(z/z**(2/9))/((z**(-20)*z*z)/z) assuming z is positive. z**(11156/585) Simplify ((w*w/w**(-3)*w)/(w/(w*w**(5/3)*w*w*w))*((w/w**(-2/5)*w)/w)**(-31))**(-1/46) assuming w is positive. w**(491/690) Simplify (o**(1/5)/o**(3/4)*(o*o*o/(o/(o**(-5)/o))*o)/o**6)**(-34) assuming o is positive. o**(3247/10) Simplify (((i**(-28)*i)/i)**(-47))**(-4/31) assuming i is positive. i**(-5264/31) Simplify (l**(3/4)/(l**(1/3)*l*l*l))**(-36) assuming l is positive. l**93 Simplify (n**(20/9)*n/(n/(n*n**(11/3)/n*n*n))*n*n)/(n/(n**(9/5)*n))**30 assuming n is positive. n**(575/9) Simplify (b**0)**(-12/17)/(b**(-2/7))**49 assuming b is positive. b**14 Simplify ((j*j**(-8))/j**9)/(j**(-1)/(j/(j*j**(-11)))) assuming j is positive. j**(-4) Simplify (i**(6/11))**(-6/5)*(i**(-3/4)*i)**37 assuming i is positive. i**(1891/220) Simplify (j/j**(-3)*j)**(-30)*(j**3)**23 assuming j is positive. j**(-81) Simplify ((y**(1/2)/(y*y*(y**(-1)*y)/y))/(y*y**(-8)*y/(y/(y*(y*((y**(-3)*y)/y)/y)/y*y))*y*y))**(-16/9) assuming y is positive. y**(-104/9) Simplify c**(-4)/c**(-1/2)*c**(-10)/c**(-1/4) assuming c is positive. c**(-53/4) Simplify ((p**6*p**(1/26))**(-1/8))**34 assuming p is positive. p**(-2669/104) Simplify (((c**(1/3))**(-2/11))**48)**(-5/3) assuming c is positive. c**(160/33) Simplify ((t*t**(-2/13)*t**(-1/12))/(t*t*t*t**(-5)*t*t*t/(t*t*t**(4/7)*t*t)))**(1/70) assuming t is positive. t**(4733/76440) Simplify (v**(-2/19)/v)**47*(v**12)**(-2/27) assuming v is positive. v**(-9035/171) Simplify ((z**(-4)/(z*z/(z/((z*z*z**(-10))/z*z))))/(z**(3/2))**(2/19))**(-8/5) assuming z is positive. z**(-432/95) Simplify (g/g**1)**(-14)*g**(1/4)*g/g**(-1) assuming g is positive. g**(9/4) Simplify (k**(-16)/k)/(k*k/(k*k*k/(k/k**(-1/12))))*(k*k**(1/11))**(-47) assuming k is positive. k**(-9023/132) Simplify ((v*v**0*v*v**(-2)*v)/(v**(-1/3))**(-1/14))**(-18) assuming v is positive. v**(-123/7) Simplify m*m*m**(-11)*((m**(-7)/m*m)/m)/m*(m*m*m**(2/7))/m**3 assuming m is positive. m**(-131/7) Simplify r**0*r**6*r*(((r**16*r*r)/r)/r)/r*r*r**(-9)/r*r assuming r is positive. r**14 Simplify ((c/(c/c**(3/2)))/c*c*c**(3/29))/((c**(-1)*c)/(c*c**(-6/19)*c*c*c*c)) assuming c is positive. c**(6929/1102) Simplify (b**(-10)*(b**(-11)*b)/b*b)/(b**23/(b*b/(b*b/(b/(b/(b/(b**(12/11)/b))))*b))) assuming b is positive. b**(-474/11) Simplify ((k**(-3/5)/(k/k**5*k))**20)**(-1/11) assuming k is positive. k**(-48/11) Simplify u/(u**(-12)*u)*u*u/(u/u**(-4))*((u/(u/u**(1/4)))/u)/(u**9*u) assuming u is positive. u**(-7/4) Simplify ((s/((s/(s*s**(-15)))/s)*s)/((s*s/(s/(s/(s*s/(s*s**(-1/2))*s)))*s)/s))/(s**11)**(2/17) assuming s is positive. s**(-435/34) Simplify (a*a**(-8/7))**(-4/7)*(a**(-5)/a)**(1/3) assuming a is positive. a**(-94/49) Simplify (((v*v**(-1))**40)**30)**(1/5) assuming v is positive. 1 Simplify (p*p/(p**(2/59)/p*p)*p**(1/4)*p)/(p**(-6/7)*p**(-2/13)/p) assuming p is positive. p**(112257/21476) Simplify ((y*y**(-9)/y*y*y)**10)**(-14/11) assuming y is positive. y**(980/11) Simplify ((w*w**2)/w**(-6/11))/((w*w*w**(1/5)*w)/w*w)**(-4/17) assuming w is positive. w**(4019/935) Simplify (((p*p**(8/3))/p*p)/(p/(p*p*p**(3/11))))**(-4/11) assuming p is positive. p**(-652/363) Simplify ((i**7/(i*i**(-4/7)*i))**4)**(-16) assuming i is positive. i**(-2496/7) Simplify ((l/(l**29/l))/l*l)/(l/l**(2/3))*(l/l**(-5/7))**(-2/39) assuming l is positive. l**(-7486/273) Simplify i**(-6)*i**(-2)*i*i**1*i**(-6) assuming i is positive. i**(-12) Simplify ((w*w*w**(-1/20)*w**(-10))**(1/17))**7 assuming w is positive. w**(-1127/340) Simplify (((w/((w*w*w/(w*(w*w**21)/w)*w*w)/w*w))/w)/(((w*w/w**(-25))/w)/w))/(w**(1/18)*(w**(-2)/w*w)/w*w) assuming w is positive. w**(-109/18) Simplify (c**2)**(-30)/(c*(c*c**(-1/8))/c*c*c*c**12*c) assuming c is positive. c**(-607/8) Simplify (c**(-3))**(-11)/((c*c**(-13)*c)/c**(-3/8)) assuming c is positive. c**(349/8) Simplify (k**5)**(-35)/(k**(-3))**38 assuming k is positive. k**(-61) Simplify (b/b**(-1/2))**(-4/13)/(b**(1/16)*b*b**(-3/2)) assuming b is positive. b**(-5/208) Simplify ((b/(b**5*b))/b**6)/((b**(-2/5)*b)/b**(-15)) assuming b is positive. b**(-133/5) Simplify ((d*d**2*d*d*d*d)/((d**(-5)/d)/d*d)*(d*d**(-1)*d)**(-2))**(2/13) assuming d is positive. d**(22/13) Simplify (s**(-6/13)*s**(-4/23))/((((s**(-2/107)/s)/s)/s)/(s/s**29)) assuming s is positive. s**(-819557/31993) Simplify (d**(2/39)*d*d*d**11*d)/((d*d**(3/11)/d)/d*d/d**0) assuming d is positive. d**(5911/429) Simplify ((q/(q**11*q))/(q**(-2/45)/q))**(-18/11) assuming q is positive. q**(896/55) Simplify ((c*c*c**(2/3)*c)**(-13)/(c/(c/c**(-2/19))*c/(c/c**(2/23))))**(7/4) assuming c is positive. c**(-437269/5244) Simplify (((u*u/((u/(u/u**(7/3)))/u))/((u*u**(-6)*u*u)/u))/(u**(-2)/u**6))**(-1/6) assuming u is positive. u**(-19/9) Simplify r**(-2/5)*r**(-2/9)
{ "pile_set_name": "DM Mathematics" }
5*o**2 in the form s*o**2 + x*o + k*o**3 + q and give s. 5 Rearrange -25*d + 62*d - 9 - 18*d - 26*d to m*d + q and give m. -7 Express 1794 - 48*x**2 - 1796 - 737*x**2 as p*x + v*x**2 + l and give v. -785 Rearrange 44*b**2 + 19069 - 19069 + 4*b to w + j*b + t*b**2 and give j. 4 Express -4*v + 32*v**2 - 14*v**2 - 15*v**2 - v**4 + 29*v as p*v + n*v**3 + o + m*v**2 + r*v**4 and give r. -1 Express (48 - 34 - 33 - 35 - 19)*(27*y - 27*y - 4*y**4) in the form w*y**4 + x*y**3 + b*y**2 + m + k*y and give w. 292 Rearrange 3*k**3 + 11*k**4 + 6*k**4 + 44*k + 21*k - 2*k**3 - 23*k**4 to the form r*k**4 + u*k**3 + g*k + h + x*k**2 and give r. -6 Rearrange 126*y + 245*y + 827 - 827 to the form v + o*y and give o. 371 Express -207*h**3 - 566*h**4 - 74*h**4 - 25*h**4 + 2*h + 206*h**3 as k*h**4 + x*h**3 + t*h**2 + y + o*h and give k. -665 Express (-k + 2 - 2)*(0*k - 4*k + 2*k)*(6 + 2 - 35) in the form u*k**2 + v + x*k and give u. -54 Express -2*k**2 + k**2 - k**2 + (7*k - 4*k + 4*k - 2 + 2 + 3*k + (-k - 3*k + k)*(1 + 2 + 0))*(6*k - 2*k - 3*k) in the form p*k**2 + n + j*k and give p. -1 Rearrange j**4 + j**3 - j**3 + (-3*j + 3*j**3 + 2*j**2 + 7*j - 5*j**3)*(11*j + 5*j + 17*j) to the form u*j**2 + p*j**3 + s*j + z + g*j**4 and give p. 66 Rearrange -y - 1 - 1 - 18*y**3 + 38*y**3 - 21*y**3 + 13*y**2 - y**2 to f*y**3 + x*y + j*y**2 + z and give f. -1 Express -7*d**2 + 34*d - 2*d**2 + 12 + 0*d**2 + 12*d**2 - d**2 as t*d + k*d**2 + c and give k. 2 Rearrange 124*c + 679*c + 193*c to the form v*c + n and give v. 996 Express -5*s**2 + 19*s**3 + s**4 + 3*s + 9*s**2 - 20*s**3 in the form i*s + z*s**2 + w*s**3 + y + o*s**4 and give o. 1 Express -45797*z**2 - 2 - 14*z**3 + z**4 + 45797*z**2 as y*z + f*z**2 + m + d*z**4 + h*z**3 and give d. 1 Express 2171*k**4 - 2150*k**4 + 3*k**2 + 0*k**3 - k**3 - k + 11*k**2 in the form y*k**4 + t*k**2 + a + l*k**3 + q*k and give l. -1 Rearrange -222*f + 411*f - 189*f + 416*f**3 + 3*f**3 - 7*f**2 + 7*f**2 + (-3*f**2 - 2*f**2 + 6*f**2)*(-1 - f + 1) to i*f**3 + g*f + q + b*f**2 and give i. 418 Rearrange (63*t + 37*t - 47*t)*(0 - 2*t**2 + 3*t**2 + 8) to j*t**3 + r + y*t**2 + q*t and give q. 424 Rearrange (0*q - 2*q + q)*(-15*q + 16*q - 15*q) - 1733 + 1733 - 67*q**2 + (0*q + 0*q - q**2)*(-3 + 2 + 3) to the form f*q + w + k*q**2 and give k. -55 Express -7 + w - 6 + 13 - w**2 as o*w**2 + m*w + k and give m. 1 Rearrange (-47 - 7 - 13)*(-5 + 5 + 9)*(-2*m**4 - 1 + 1) to the form i*m + w*m**2 + x*m**4 + z + p*m**3 and give x. 1206 Rearrange -3*h + 8*h - 4*h - 365 to the form d + z*h and give z. 1 Rearrange ((1 - 7 + 4)*(-3 + 3 - a) + (4 - 4 + 3 - 3*a)*(0 - 5 + 3))*(-a + a**3 + a) to the form n*a**2 + h + b*a + z*a**4 + x*a**3 and give z. 8 Express -6*n**2 + 57*n**2 + 7 - 6 + (4 - 3 + 0)*(4*n**2 - 3*n**2 + n**2) as b*n + x + s*n**2 and give s. 53 Rearrange -2162*m**2 - 1347*m + 1347*m to q + u*m + o*m**2 and give o. -2162 Express (-2 + 2 + 2*v)*(248 - 126 - 261)*(-6 + 5 + 3)*(27*v**2 + 2*v - 22*v**2 + 0*v) in the form z*v + x*v**3 + a + n*v**2 and give x. -2780 Rearrange 17*n**3 + 6*n + 8*n**2 + 6*n**3 - 2*n - 7*n**2 to v*n**3 + m*n + z*n**2 + c and give v. 23 Rearrange -3*r**4 - 9*r**3 + r + 18*r**2 + 25*r**3 - 2 + 5*r**4 - 14*r**3 to the form b + o*r + l*r**2 + d*r**3 + n*r**4 and give l. 18 Express 53*u + 4*u**3 + 4 - 25*u - 24*u + u**3 + 11 as q*u + t*u**2 + b*u**3 + y and give b. 5 Rearrange -697 - 50*i + 52*i + 747 to p*i + j and give j. 50 Express -2*w + 36*w**4 + 3 - 44*w**4 - 2*w**3 + 4 as f*w + s*w**2 + n*w**3 + p + r*w**4 and give n. -2 Rearrange -17*l**3 + 10*l**4 + 4*l**3 + 3*l**2 + 11*l**3 to the form y*l**4 + f*l + x*l**2 + t + h*l**3 and give h. -2 Rearrange (-27 + 43 + 53)*(2 - 3*t - 7 + 4) to w*t + p and give p. -69 Rearrange -u**3 - 32*u - 34*u + 5 - 18*u + 7*u to the form c*u + i*u**3 + h*u**2 + t and give c. -77 Rearrange -10 - 8 + 11*a - 8 + 23 to the form w*a + r and give r. -3 Express (16 + 6 + 11)*(-11*r + 9*r - 51*r) in the form v*r + z and give v. -1749 Rearrange (-1 + 1 - 2)*((-2 - 1 + 0)*(1 + 0 - 2) - 2 - 1 + 5)*(r - 5*r + 3*r)*(-23*r**2 + 7*r**2 + 0*r**2) to w*r**2 + u*r + d + l*r**3 and give l. -160 Rearrange (9*b + 84*b + 123*b)*(3 - 5 + 1)*(2*b + 2*b - 2*b) to z*b**2 + u + t*b and give z. -432 Express -498*m**2 - 4*m + 4*m + 0*m - 77*m**2 - 2*m as k*m**2 + a + w*m and give k. -575 Express -42 + 157 + 15*g**3 - 16*g**3 - 3*g**3 - g**3 + 6*g**3 + (-2*g**2 + g**2 - g**2)*(g + 2*g - 4*g) in the form b + d*g + u*g**2 + x*g**3 and give x. 3 Rearrange -95711*n**3 - 2*n**4 + 6*n**2 - 13 + 95711*n**3 - n to g*n**4 + f + b*n**3 + l*n + t*n**2 and give l. -1 Express 5*q + 0 + 3356*q**2 + 0 - 3345*q**2 in the form u*q + n + o*q**2 and give o. 11 Express 17 + 17 - 54 + 20 + 284*w + 3*w**2 as q*w + p + u*w**2 and give u. 3 Rearrange -16*s**3 + 14*s**3 + 5*s + 10*s + 1 + 29*s**2 + s**4 - 13*s to x*s**3 + k*s + n*s**4 + l + j*s**2 and give n. 1 Rearrange 0 + 2 - 48*j**2 - 2 - 79*j**2 - 2 to k*j**2 + i*j + z and give z. -2 Rearrange (18*t - 37*t - 4 + 29*t)*(7*t + t - 4*t) to u + h*t**2 + i*t and give i. -16 Express 8*t + t**2 - 19 - 6*t**2 - 43 + 3*t**2 - 9*t as d*t**2 + u + j*t and give d. -2 Express 45*q**2 + 1 - q**4 - 8*q**4 - 47*q**2 - q**4 - 36*q**4 as k*q**2 + a*q**3 + z*q + n + x*q**4 and give n. 1 Express (-2*v**4 - v**4 + 2*v**4)*(36 + 4 - 185) in the form r*v**4 + y*v**3 + b*v + w + a*v**2 and give y. 0 Rearrange 21*w**2 - 32*w**2 - 10*w**2 - 24*w**2 - 4 to l*w**2 + g + s*w and give g. -4 Rearrange -28780 - 368*q - 177*q + q**2 + 28782 to v*q + j + u*q**2 and give j. 2 Rearrange -74*l**2 - 2*l + 55*l**2 + 8*l**2 - 146*l**2 - 78*l**2 to r*l + d + z*l**2 and give r. -2 Express (-9 + 10 - 10)*(t**2 - 49*t**2 + 20*t**2) in the form g*t**2 + c*t + h and give g. 252 Express 88*t - 13*t + 78*t as o*t + g and give g. 0 Rearrange 2939*f**3 - 2937*f**3 - 2 + 2*f**2 + 2*f - 6*f to u*f**3 + k*f + b*f**2 + y and give u. 2 Rearrange (-6 + 5 + 8)*(0*s**2 - 2*s**4 + 0*s**2) + s**4 - 3*s**4 + 0*s**4 - 4*s**4 - 38*s**4 + 15*s**4 to w*s**3 + a*s**4 + m + h*s + c*s**2 and give a. -43 Rearrange (-s + 0*s - s + (-5*s + s + 2*s)*(-2 - 4 + 7) - 3 - 2*s + 3)*(6 - 4 + 14)*(-2 + 1 - 1) to the form a + i*s and give i. 192 Express 10 - 65*i**3 - 62*i**3 + 128*i**3 in the form u + y*i + c*i**3 + k*i**2 and give c. 1 Express 2233*z**2 - 1405*z**2 - 1307*z**2 in the form c*z**2 + w*z + q and give c. -479 Express (1 + 1 - 3)*(-16 - 14 + 12)*(167*q + 2*q**2 - 167*q) in the form v*q + t + g*q**2 and give g. 36 Express (1 + 1 + 0)*(3*j**2 + 2*j**2 - 3*j**2 + (3*j - 4*j + 3*j)*(-10*j - 33*j - 40*j) + 0 + 0 - 2*j**2) in the form d*j + z + h*j**2 and give h. -332 Rearrange (1 + 2 - 2)*(-22 + 6 + 13)*(-3*m**3 + 0*m**3 + 0*m**3) to the form t + y*m**2 + g*m**3 + s*m and give y. 0 Express 2*h**3 - h**3 + 475*h**2 - 4*h**4 - 954*h**2 + 480*h**2 - 12 as l*h**2 + a + t*h**4 + p*h + x*h**3 and give l. 1 Rearrange (4*s + 2*s - 4*s)*(-2*s**2 + s**2 + 2*s**2) + 4*s**3 - 404*s**3 - 352*s**3 to l + d*s**3 + m*s**2 + h*s and give d. -750 Rearrange 30*j**2 - j + 5*j + 1 - 64*j**2 to u*j**2 + b*j + d and give u. -34 Express (-5*d + 5*d - 3*d)*(1 + 5 + 0) + (5 - 3 - 4)*(-3*d + 3*d + d) - 120 + 16*d + 120 in the form j + w*d and give w. -4 Express -8 - 2*n**2 + n + 6 + 20*n**2 in the form y*n + q*n**2 + r and give y. 1 Express (-1 - 3 - 5)*(5*k + 15*k - 7*k)*(-1 - 2 + 4) - k - 4*k + 7*k + (1 + 1 + 1)*(-2*k + 2*k - 2*k) in the form h*k + v and give h. -121 Express (2 - 3 - 2)*(3*r**2 - 4*r**2 - 3*r**2) + 8*r**2 - 18*r**2 + 16*r**2 as i*r + k*r**2 + t and give k. 18 Rearrange -5*d + 3*d**2 - 7*d**2 - 3*d**2 - 2*d**2 to the form m*d + n + t*d**2 and give t. -9 Rearrange 3*p**3 - 3 - 2*p**3 + 37*p**4 + 5*p**2 - 40*p**4 - 3*p**2 to the form b*p**2 + w*p**3 + d*p**4 + m + h*p and give m. -3 Express (8485 - 109*k - 8485)*(-14 - k + 6 + 6) in the form q*k + m*k**2 + t and give m. 109 Express -3*o**2 + 4*o**3 - 5070*o + 1 + 5074*o - 3*o**3 as k + u*o**2 + j*o**3 + y*o and give k. 1 Express -24*q**4 + 18*q**4 - 50*q**2 + 50*q**2 + 18*q + 2*q**3 as f + u*q + k*q**2 + t*q**4 + z*q**3 and give u. 18 Rearrange 525*p**2 - 126*p**2 + 415 - 415 + 2*p**3 + p**3 to k + s*p**3 + w*p + l*p**2 and give l. 399 Rearrange -2*x**3 + 3*x**4 - 139*x - 138*x - 136*x + 416*x + 5 to the form c*x + j*x**3 +
{ "pile_set_name": "DM Mathematics" }
visor of 104 and 7723872. 104 Calculate the greatest common divisor of 127 and 2923748153. 127 Calculate the greatest common factor of 14744 and 12196974. 3686 Calculate the highest common divisor of 7533635 and 3485. 85 Calculate the highest common divisor of 837 and 1254440916. 279 What is the greatest common divisor of 774 and 112392? 18 Calculate the greatest common factor of 432 and 70105878. 54 Calculate the greatest common factor of 13025220 and 45. 15 Calculate the greatest common divisor of 623136 and 1552. 16 What is the greatest common divisor of 1010266272 and 33408? 8352 What is the greatest common divisor of 4692870 and 46683? 2457 Calculate the greatest common divisor of 319 and 2690402. 11 What is the greatest common factor of 527653863 and 99? 99 What is the greatest common divisor of 39524 and 16154? 82 Calculate the highest common factor of 291 and 1738240. 97 Calculate the greatest common factor of 4039211 and 8261. 11 Calculate the highest common divisor of 34479 and 24308972. 1277 What is the greatest common factor of 476829976 and 18762? 6254 Calculate the greatest common factor of 215166 and 65953502. 10246 Calculate the greatest common divisor of 982 and 3678716354. 982 What is the highest common factor of 485279 and 133? 19 What is the greatest common divisor of 21952 and 136736? 32 What is the greatest common factor of 1166 and 8281356? 106 Calculate the greatest common divisor of 6145512 and 120. 24 Calculate the greatest common divisor of 1947 and 4356501. 177 Calculate the greatest common divisor of 408 and 57331344. 408 Calculate the greatest common divisor of 351762877 and 482. 241 What is the greatest common divisor of 98934 and 8756? 22 What is the highest common factor of 4743995 and 56? 1 What is the highest common factor of 15021214 and 2600? 26 Calculate the highest common divisor of 19280224 and 5024. 32 Calculate the greatest common factor of 13371120 and 6615. 2205 Calculate the greatest common divisor of 24416 and 3119424. 224 Calculate the highest common divisor of 174 and 154030542. 174 What is the highest common divisor of 1657605 and 4695? 15 Calculate the greatest common divisor of 749308894 and 830. 166 Calculate the greatest common factor of 86 and 37267498. 86 What is the greatest common factor of 4543946 and 1364? 22 Calculate the highest common factor of 12 and 1781484. 12 What is the greatest common factor of 618084 and 118? 118 What is the highest common divisor of 330625 and 1087250? 125 Calculate the greatest common factor of 664420 and 5726440. 4780 What is the greatest common factor of 143212372 and 538? 538 What is the greatest common divisor of 20042 and 48026? 22 Calculate the highest common factor of 129335992 and 46. 46 What is the greatest common divisor of 912 and 4630224? 912 What is the highest common factor of 2458981 and 356? 89 What is the greatest common divisor of 81599889 and 399? 399 Calculate the greatest common divisor of 1207800 and 62136. 72 Calculate the greatest common divisor of 757 and 215998. 1 What is the highest common divisor of 6117124 and 1170? 26 Calculate the highest common divisor of 12 and 2524866. 6 Calculate the highest common divisor of 187321368 and 10608. 5304 Calculate the highest common factor of 786144898 and 462. 154 Calculate the greatest common divisor of 523296 and 7347. 237 What is the greatest common factor of 11422010 and 10? 10 Calculate the highest common divisor of 9512 and 347536. 232 Calculate the greatest common divisor of 1702330 and 867573. 2051 What is the greatest common factor of 11615504 and 7052? 172 What is the greatest common factor of 2669 and 182716? 17 Calculate the greatest common factor of 6195 and 36262875. 885 Calculate the greatest common factor of 21146350 and 50. 50 Calculate the greatest common divisor of 181630 and 4047248. 886 Calculate the highest common divisor of 38119149 and 36. 9 What is the greatest common divisor of 46910832 and 7476? 1068 What is the highest common divisor of 735 and 22869? 21 What is the highest common factor of 1816533 and 280611? 513 What is the highest common factor of 1850 and 9132710? 370 What is the greatest common divisor of 2160704 and 44786? 98 Calculate the greatest common factor of 105592 and 327094. 134 What is the highest common factor of 31986 and 24721624? 3554 Calculate the highest common factor of 7648629 and 8181. 303 What is the highest common factor of 18601 and 396397? 19 Calculate the highest common factor of 120377 and 459973. 73 Calculate the greatest common factor of 38246429 and 39. 13 Calculate the highest common factor of 36955 and 224213376. 7391 Calculate the greatest common factor of 188494 and 4838118. 158 What is the highest common divisor of 5320000 and 175? 175 Calculate the highest common divisor of 76012 and 18. 2 Calculate the greatest common divisor of 699016 and 41400. 184 Calculate the highest common factor of 286 and 40870104. 22 What is the highest common divisor of 46772 and 1442716? 44 Calculate the greatest common factor of 780 and 24637980. 60 What is the highest common factor of 1235 and 9748843? 247 Calculate the highest common factor of 6234666 and 486. 6 Calculate the highest common divisor of 9420 and 27066800. 3140 Calculate the highest common factor of 7159560 and 195. 15 What is the greatest common factor of 1341666 and 13376? 38 What is the greatest common divisor of 604412 and 4452? 212 Calculate the highest common factor of 4524 and 171982992. 348 Calculate the greatest common divisor of 1089 and 71284125. 363 What is the highest common factor of 2189635 and 2555? 2555 Calculate the highest common factor of 15930 and 1178411130. 5310 What is the highest common divisor of 144 and 8369064? 72 Calculate the highest common divisor of 76 and 466567078. 38 Calculate the highest common divisor of 470 and 116260. 10 Calculate the highest common factor of 18011 and 963298. 581 What is the greatest common divisor of 917 and 1097? 1 What is the greatest common factor of 510 and 57655245? 255 Calculate the highest common divisor of 3640 and 53051180. 1820 Calculate the greatest common divisor of 561224 and 803. 73 Calculate the highest common factor of 163719504 and 7296. 912 Calculate the greatest common factor of 1066539 and 9. 3 Calculate the greatest common factor of 22179 and 17049. 3 Calculate the highest common factor of 7021 and 291193. 119 Calculate the greatest common divisor of 414 and 7474428. 18 What is the highest common divisor of 504 and 10741500? 252 Calculate the highest common divisor of 119575338 and 6. 6 Calculate the highest common factor of 4091626 and 10822. 14 What is the greatest common factor of 363870 and 307008? 234 What is the highest common factor of 51096 and 1689504? 24 What is the greatest common divisor of 470 and 686332? 2 Calculate the highest common divisor of 2300880 and 330. 30 What is the highest common factor of 501 and 327988? 167 What is the highest common factor of 1208662 and 273? 91 What is the greatest common divisor of 18905 and 6935? 95 What is the highest common divisor of 27245 and 9635? 5 Calculate the greatest common divisor of 41413100 and 100. 100 What is the highest common factor of 19498801 and 923? 71 Calculate the highest common divisor of 92909925 and 11850. 5925 Calculate the greatest common divisor of 7531 and 50859501. 443 What is the greatest common factor of 4734 and 735874? 526 Calculate the greatest common factor of 18125 and 73145. 5 What is the greatest common divisor of 8628 and 17426? 2 Calculate the greatest common divisor of 61713652 and 8008. 4004 What is the greatest common factor of 40468 and 384044? 268 Calculate the greatest common divisor of 375452676 and 696. 348 Calculate the highest common factor of 81795 and 4941615. 1995 What is the highest common factor of 312 and 5256594? 6 What is the greatest common factor of 16601128 and 8240? 824 What is the greatest common divisor of 5142 and 84700738? 1714 Calculate the highest common factor of 658108 and 4620. 44 Calculate the greatest common factor of 40936 and 8732612. 1204 What is the greatest common divisor of 241019 and 493? 29 Calculate the highest common divisor of 4921462 and 728. 182 Calculate the gre
{ "pile_set_name": "DM Mathematics" }
tor of 48 and 70104? 24 Calculate the greatest common factor of 123760 and 680. 680 Calculate the greatest common factor of 7 and 8561. 7 Calculate the greatest common factor of 80616 and 24. 24 What is the highest common factor of 364 and 161434? 182 Calculate the greatest common divisor of 180 and 494280. 180 What is the greatest common divisor of 305312 and 434? 14 Calculate the highest common factor of 7076 and 1708. 244 What is the highest common divisor of 1872 and 11472? 48 What is the highest common divisor of 206 and 2236954? 206 Calculate the greatest common divisor of 4927 and 8489. 13 What is the highest common divisor of 26472 and 12? 12 Calculate the greatest common factor of 41016 and 192. 24 Calculate the greatest common factor of 2534 and 1246. 14 What is the highest common divisor of 9657 and 33? 3 Calculate the highest common divisor of 20680 and 18040. 440 Calculate the greatest common factor of 371 and 1106. 7 Calculate the greatest common factor of 44454 and 93. 93 Calculate the highest common divisor of 72 and 60930. 18 Calculate the greatest common divisor of 6105 and 1195. 5 Calculate the highest common divisor of 7859 and 2710. 271 Calculate the highest common divisor of 19 and 7972704. 19 Calculate the highest common factor of 779328 and 198. 198 What is the greatest common divisor of 16 and 13091024? 16 What is the greatest common factor of 154957 and 11? 11 Calculate the greatest common factor of 1632384 and 2704. 208 What is the highest common divisor of 8245 and 261415? 485 What is the greatest common divisor of 960 and 3520? 320 Calculate the highest common factor of 39048 and 40. 8 Calculate the highest common divisor of 6762 and 539. 49 What is the highest common divisor of 23 and 66217? 23 What is the highest common divisor of 7381 and 427? 61 What is the highest common divisor of 44 and 578358? 22 What is the highest common factor of 59714 and 292? 146 Calculate the highest common divisor of 576 and 3312. 144 Calculate the highest common divisor of 1581 and 1457. 31 Calculate the greatest common divisor of 46928 and 280. 56 What is the highest common factor of 225 and 306975? 75 What is the highest common factor of 900 and 130860? 180 Calculate the greatest common divisor of 5797 and 55165. 187 Calculate the greatest common factor of 2354689 and 95. 19 What is the highest common divisor of 5160 and 23640? 120 Calculate the greatest common factor of 12 and 5979. 3 What is the highest common divisor of 72 and 716139? 9 What is the greatest common factor of 112 and 601132? 28 What is the greatest common divisor of 38 and 68647? 19 Calculate the highest common factor of 33523 and 49. 7 What is the greatest common factor of 19872 and 100872? 216 Calculate the highest common divisor of 33551 and 21. 7 Calculate the highest common factor of 1870 and 6596425. 935 Calculate the highest common divisor of 2598 and 5018037. 1299 What is the greatest common divisor of 10695 and 3657? 69 What is the greatest common factor of 1813 and 1042734? 259 Calculate the highest common divisor of 69679 and 59. 59 Calculate the greatest common divisor of 3367 and 33152. 259 Calculate the greatest common divisor of 246512 and 448. 112 What is the highest common divisor of 37184 and 58681? 581 What is the highest common factor of 1848 and 33432? 168 What is the greatest common factor of 450 and 36684? 18 What is the highest common factor of 98854 and 1610? 322 Calculate the highest common factor of 611 and 4237285. 611 Calculate the highest common factor of 17069 and 3718. 169 What is the greatest common factor of 810 and 26595? 135 What is the highest common factor of 53 and 1655773? 53 What is the highest common factor of 406 and 1556140? 58 What is the highest common factor of 101736 and 34344? 648 Calculate the highest common divisor of 4911 and 931453. 1637 Calculate the greatest common factor of 646759 and 159. 53 What is the highest common divisor of 35 and 4365? 5 Calculate the greatest common factor of 1806 and 3248. 14 Calculate the greatest common divisor of 22830 and 15240. 30 What is the highest common divisor of 2159 and 3810? 127 Calculate the highest common factor of 4175443 and 46. 23 Calculate the highest common divisor of 3507366 and 6. 6 Calculate the highest common divisor of 291837 and 546. 273 Calculate the greatest common divisor of 77 and 17138. 11 Calculate the greatest common divisor of 2254 and 440314. 98 Calculate the greatest common factor of 3745 and 2481865. 535 Calculate the greatest common divisor of 2584 and 114. 38 Calculate the greatest common divisor of 133000 and 20520. 760 Calculate the highest common divisor of 64761 and 15. 3 What is the highest common factor of 68117 and 2849? 259 What is the greatest common divisor of 5 and 1576705? 5 What is the highest common factor of 1352445 and 45? 15 What is the highest common divisor of 4050 and 95490? 90 Calculate the greatest common divisor of 223460 and 20. 20 What is the highest common divisor of 1404 and 1248? 156 Calculate the highest common divisor of 1008 and 315252. 252 What is the highest common divisor of 16 and 2475736? 8 Calculate the highest common factor of 4 and 53684. 4 Calculate the highest common factor of 8 and 16270. 2 What is the greatest common divisor of 213373 and 496? 31 What is the greatest common divisor of 3955744 and 52? 52 What is the greatest common factor of 361543 and 203? 203 Calculate the greatest common divisor of 7357 and 252. 7 What is the greatest common divisor of 15998 and 38? 38 What is the highest common divisor of 5175 and 578450? 575 What is the greatest common divisor of 9590 and 37870? 70 What is the highest common divisor of 7267 and 28223? 169 Calculate the highest common factor of 2226 and 14946. 318 What is the highest common factor of 57894 and 354? 6 Calculate the greatest common factor of 36 and 5870268. 36 Calculate the greatest common divisor of 5421 and 278. 139 What is the greatest common factor of 15 and 194980? 5 What is the greatest common divisor of 496 and 47088? 16 Calculate the highest common factor of 2618 and 27250762. 2618 Calculate the highest common factor of 120 and 18820. 20 What is the greatest common divisor of 285 and 9291? 57 What is the greatest common factor of 80 and 802480? 80 Calculate the greatest common divisor of 6108 and 420. 12 Calculate the highest common divisor of 3939505 and 145. 145 What is the greatest common divisor of 406 and 3215317? 203 What is the highest common divisor of 29292 and 88? 4 What is the greatest common factor of 948719 and 17? 17 Calculate the greatest common divisor of 240120 and 25520. 1160 What is the highest common factor of 77062 and 106? 106 What is the greatest common divisor of 54 and 5322? 6 What is the highest common divisor of 1504 and 206189? 47 What is the greatest common divisor of 18 and 162036? 18 What is the highest common factor of 5797 and 18445? 527 Calculate the highest common divisor of 212282 and 10738. 826 What is the highest common factor of 478 and 122846? 478 What is the highest common divisor of 27836 and 12? 4 Calculate the highest common factor of 3519 and 3978. 153 Calculate the highest common divisor of 95776 and 292. 292 What is the highest common divisor of 118520 and 80? 40 What is the highest common divisor of 536284 and 716? 716 Calculate the highest common factor of 10119380 and 60. 20 What is the greatest common divisor of 533538 and 36? 18 Calculate the greatest common divisor of 2370794 and 46. 46 What is the greatest common divisor of 21320 and 89960? 520 What is the highest common factor of 797 and 2889922? 797 What is the greatest common divisor of 66 and 219813? 33 What is the highest common divisor of 2717 and 11869? 143 What is the highest common factor of 204 and 368? 4 What is the highest common divisor of 112617 and 291? 291 Calculate the highest common divisor of 2375 and 133. 19 Calculate the highest common divisor of 8 and 1695724. 4 What is the highest common factor of 1446 and 12? 6 What is the highest common factor of 1926 and 153? 9 Calculate the highest common divisor of 1775 and 9088. 71 What is the highest common factor of 3 and 3331? 1 What is the highest common factor of 46 an
{ "pile_set_name": "DM Mathematics" }
v for v. -3 Let z(t) = -t - 4. Let j be z(-8). Let h be 10/(-15)*(-3)/(-1). Let p = j + h. Solve p*i = -2*i for i. 0 Let u(y) = y**2 - 4*y - 1. Suppose 4*q = 4 + 24. Let k be u(q). Solve 4*f = -0*f - k for f. -5 Let b(l) = -4*l + 3*l - 4 + 3*l. Let z be b(3). Suppose z*k - 4 = -0. Solve -2*j + 0 - k = 0 for j. -1 Suppose 4*z - 13 = -j, -j - 1 = -z + 1. Solve 2*h = 5*h - z for h. 1 Suppose -c - 8 = -n, 2*c - n - 4 = -18. Let d = 6 + c. Solve d*r + 2*r - 10 = 0 for r. 5 Let n = 1 - -1. Let o(h) = h**2 - 4*h + 3. Let k be o(3). Solve k*i = n*i - 6 for i. 3 Let q(u) be the first derivative of 4*u**3/3 - u**2/2 + u - 4. Let y be q(1). Let n = 5 - 0. Solve y = -n*l - 1 for l. -1 Let a(n) = n**3 - 5*n**2 - 6*n + 2. Let t be a(6). Solve 8 = 2*h - t for h. 5 Let j(q) = q**3 - 2*q - 6. Let p be j(3). Solve -s = -6*s - p for s. -3 Suppose 13*j - 22 = 2*j. Solve j*a + 8 = -2*a for a. -2 Let z(w) = -w**2 - 6*w - 4. Let f be z(-4). Let m be (-112)/(-18) + 10/(-45). Solve -f*k - 22 = -m for k. -4 Let z(p) be the second derivative of p**4/12 + p**3/3 - 5*p**2/2 + 3*p. Let w be z(-4). Solve -w = r - 0*r for r. -3 Let q(h) be the first derivative of -h**2/2 + 3*h + 3. Let c be q(-3). Suppose 0 = n + o - c, -2*n + 6*o - o = 16. Solve i - n = 3*i for i. -1 Let y = 13 + -7. Suppose -y + 0 = -5*w + h, -5*w - h = -14. Solve -1 = -w*m + 1 for m. 1 Suppose q - 15 = -0*q + 4*k, -3*k = -2*q + 15. Solve z - q = 2 for z. 5 Let g(o) = 2*o + 2. Let j be g(1). Solve -v = -j + 2 for v. 2 Let t(o) = 27*o - 2. Let h be t(1). Solve 5*z + 0 = h for z. 5 Suppose -7*y = -3*y - 12. Let v be ((-56)/(-16))/((-1)/(-2)). Let o = v + -6. Solve y*x + o = 4 for x. 1 Suppose -4*y = 5 - 25. Solve g + 12 = y*g for g. 3 Suppose 6*o + 3*a = 2*o + 35, -3*o - 3*a + 30 = 0. Suppose 5*l + 3*j + j - 8 = 0, -3*j = 5*l - 11. Solve -l + o = b for b. 1 Let r be ((-3)/2)/((-6)/8). Suppose -3*w + r = -1. Let f be 9/w - 4/2. Solve 8 = -3*i - f for i. -5 Let p be (0 + 2)/(3/((-30)/(-5))). Solve -2 = -3*t + p for t. 2 Let k(w) be the third derivative of -w**6/120 + w**5/20 + 5*w**4/24 + w**2. Let f be k(4). Let c be (-8)/(-10)*50/4. Solve -f*i + 10 = -c for i. 5 Suppose 3*t = t. Solve -g = -t*g - 1 for g. 1 Suppose 2*p = -3*m + 41, 0*m + 2*m - 5*p - 40 = 0. Solve -m = c - 6*c for c. 3 Let s(m) = -m + 2. Let w be s(1). Solve -3*r - 2 = w for r. -1 Let i be (0 - (-2)/(-7))*-7. Solve -r = i - 1 for r. -1 Let p = 18 + -13. Solve 0 = p*j - 2 + 27 for j. -5 Let b(s) = -s**3 - 7*s**2 - 2*s - 10. Let n be b(-7). Suppose -h - n*h = 0. Solve -y - y = h for y. 0 Suppose 4 = 26*i - 25*i. Solve -i*w + 8 = -0 for w. 2 Suppose 51 - 17 = 5*c - 3*b, 4 = 2*c + 2*b. Suppose -2*h - 33 = -5*y, c*h = h - 16. Solve z - y = -0 for z. 5 Let z(y) = -5 + 2 + 0*y + 2*y. Let r be z(4). Suppose h = 2*h + 4*q - 20, 25 = r*q. Solve 3*i + i - 8 = h for i. 2 Let s = -1 + 4. Let v be 25/4 + s/(-12). Solve 2*j = v*j for j. 0 Suppose -2*b - 12 = -4*m, -3 + 9 = -3*b + 2*m. Solve -5*w + 0 + 20 = b for w. 4 Let u(v) = -3*v - 1. Let y be u(-2). Solve 3*b - y = -8 for b. -1 Suppose -2*c = -1 + 5. Let d be ((-2)/(-6))/(c/(-18)). Solve -2*w - d*w = -10 for w. 2 Let w(o) = o**2 + 8*o + 19. Let p be w(-3). Solve -3*a - 5 = p for a. -3 Suppose -4*a - 4*h + 3 = -3*h, -5*a + 35 = -5*h. Let f(b) = -b**2 + 3*b - 1. Let q be f(a). Solve 3 = -w + q for w. -2 Let d be -2 - (9/(-12))/(3/24). Solve 6*i + d = 4*i for i. -2 Let q(v) = -2*v + 3. Let u(r) = -r + 2. Let p(l) = -5*q(l) + 7*u(l). Let z be p(2). Suppose 0 = z*x - 0*x - 15. Solve -4 = -x*y - 1 for y. 1 Let u(y) = 2*y**3 - y**2 + 2*y - 1. Let d be u(1). Suppose 4*w + 5*q = -20, -5*w + 2 + d = -q. Suppose w = -o - 2*o + 3. Solve p + 2 = -o for p. -3 Let b be (-2 - (-2 - 1))*-12. Let r be 6/4 + (-6)/b. Solve -r*g - 12 = g for g. -4 Suppose j - 3*w - 4 = -3*j, 2*w + 8 = 4*j. Suppose 1 = -0*k - k, j*k - 24 = -4*g. Suppose g*b = 3*b. Solve x + 1 - 2 = b for x. 1 Let s be (-6)/(-27) + 133/9. Suppose 0 = 5*o + 4*p + 16, 4*p + s + 1 = -4*o. Suppose z - 3*z + 6 = o. Solve -z*a - 25 = 2*a for a. -5 Suppose 3*s = -2*s - 4*z - 5, 2*z = s - 13. Suppose -y - 3 = -i, 2*y + s*y = -3*i + 9. Solve -i*n + 7 = -2 for n. 3 Suppose d + 8*u - 3*u + 7 = 0, 49 = 5*d - 3*u. Solve 10*n - d = 8*n for n. 4 Let b(r) = 2*r**2 + 56*r + 12. Let i be b(-28). Solve -10 = i*y - 7*y for y. -2 Suppose 0*c - 4*c - 664 = 0. Let d be 2/(-10) - c/5. Let s = d - 17. Solve -6*z + 2*z + s = 0 for z. 4 Suppose 2*s + 0*s = -2*q + 16, 5*s - 31 = -4*q. Let a = q + -6. Solve -12 = -a*z - 0 for z. 4 Let k be 8*3/60 + 2/(-5). Solve 20 = -k*j + 4*j for j. 5 Let a(g) = -6*g - 1. Let z be a(-2). Solve 4*p + z = -1 for p. -3 Suppose 11 = -4*v + 31. Let b = 12 + -4. Let u be b/(4/18*3). Solve -z = -v*z + u for z. 3 Suppose 4*y - 6 = 2*f, 3*y - 9 = 4*f + 3. Solve 4*a + y*a = 8 for a. 2 Suppose -25*o + 16 = -21*o. Solve 0 = f + o*f + 10 for f. -2 Suppose -w - 42 = -4*w. Suppose -4*l = 4*u + 8, 6*l - 5*l + 2*u = -4. Let f = 4 + l. Solve -f*r = -w - 6 for r. 5 Let y be (-9)/(-27)*30/2. Solve 0 - 5 = -y*c for c. 1 Let b(m) = 6*m - 2. Suppose 2*q + 3*q - 15 = 0. Let p be b(q). Suppose l = p - 1. Solve 0*n - l = 3*n for n. -5 Suppose -4*q = -f - 60, 5*f = 3*q - 55 + 10. Suppose t = -2*o + 24, -4*o - q = 5*t - 51. Solve o + 1 = 5*n for n. 3 Let b = -42 + 44. Solve -b*k = k for k. 0 Suppose s = 1 + 5. Suppose -4*o = -2*b + 4, 2*b - 1 + 5 = 0. Let l be o/3 - (-16)/s. Solve -i = l*i - 9 for i. 3 Suppose -2 = 2*r, 2*r = -0*q + q - 4. Solve -q*j = -j for j. 0 Let j(p) = p**2 + 5*p - 2. Let t be j(-5). Let a(h) = h**3 + 4*h**2 + h. Let g be a(t). Solve 3*x + g = x for x. -3 Suppose 11 - 3 = 4*d. Solve -2 - d = -2*m for m. 2 Let k be (-4)/((-32)/10)*4. Solve -y = -k*y - 16 for y. -4 Let b be (-10 - -4)/((-4)/10). Suppose 4*o - 54 = 5*c + 6, -o + b = c. Let a = o - 8. Solve -a*n + 2*n + 10 = 0 for n. 2 Suppose -4*v + 3 = -5. Solve -2*g + v = -8 for g. 5 Let u be 2/8 - 7/(-4). Suppose 0 = u*h + 3*h - 10. Let t = 11 - 11. Solve h*s = -t*s for s. 0 Suppose -2*q + 27 + 5 = 0. Solve 0 = 4*c + q + 4 for c. -5 Suppose -12 = f - 0*f. Let y = -9 - f. Solve -2*g - 5 = -y for g. -1 Let v(w) be the third derivative of 1/2*w**3 + 0*w + 1/24*w**4 - 1/60*w**5 - w**2 + 0. Let i be v(0). Solve 16 = i*u + u for u. 4 Let m be (-2)/4*2*-3. Solve -m*w + 2*w = -3 for w. 3 Let x = 1 - -6. Solve 4*t + x = 11 for t. 1 Suppose -6*r + 7 = -11. Suppose -r*k = -6*k + 15. Suppose -50 = -7*j + 2*j. Solve k*y + 0*y - j = 0 for y. 2 Let h(p) = p**2 + 2*p. Let k be h(-2). Suppose k = -10*z + 5*z. Solve z = 3*m + 3 - 0 for m. -1 Suppose 0 = -u - 3*i, 2*u - 11 = -u + 2*i. Solve 1 = u*a - 2 for a. 1 Let a be (-1*3)/((-3)/4). Suppose 14*i - 90 = 11*i. Let x be 82/12 + 5/i. Solve -a*j - 9 = x for j. -4 Let i(d) = d**3 - d**2 + 2*d + 2. Let b be i(0). Solve t + 0 = -b for t. -2 Let l = 8 + -17. Let c(v) = 6 + v**3 + 10*v**2 + 3 + 6 - 4 + 10*v. Let g be c(l). Solve g*d + 2*d = 0 for d. 0 Let x(r) = -r**2 - 9*r - 11. Let k be x(-7). Solve -4 = k*y + 2 for y. -2 Let f = 8 - 14. Let z = 8 + f. Suppose -3*t - 66 = -3*j, -4*j - z*t + 0*t = -112. Solve 5*o + 11 = j for o. 3 Let q(v) = -v**2 + 10*v - 23. Let r be q(5). Solve 3 = -r*t - t for t. -1 Suppose 0 = -j + 3*j. Let h = 106 + -104. Solve p - h*p + 2 = j for p. 2 Let f(z) = -z**3 - 7*z**2 - z - 7. Let p be f(-7). Suppose p = -2*j + 3 + 1. Let x be -10*(-5)/(75/18). Solve -j*w = -6*w - x for w. -3 Let w be -2 + (5 - 2) - 1. Solve -p = -w - 4 for p. 4 Let r be 3 - ((2 - 1)*1 + -22). Solve -5*m + 1 = -r for m. 5 Let u = 8 + -6. Suppose 2*r - 2 - u = 0. Solve r*i = -2*i for i. 0 Suppose 8 + 2 = 2*j. Let s = 5 - j. Suppose s*a = -2*a. Solve a = 3*l + 6 + 3 for l. -3 Suppose 22*b - 40 = 17*b. Solve -3*g = -b*g + 25 for g. 5 Let z(s) = -s - 8. Let v be z(-12). Let b be ((-3)/(-3))/((-3)/(-12)). Solve -v*m = -5*m - b for m. -4 Let j(s) be the first derivative of -s**3/3 + s**2/2 + 3*s - 2. Let l be j(0). Solve 0 = -4*n + l*n + 1 for n. 1 Let i be ((-48)/(-36))/(1/3). Solve -i = -a + 3*a for a. -2 Suppose 11 = 5*n - 14. Suppose n*r + 0*t = -4*t + 5, -t = 0. Suppose 3*a + 4 = -4*m, 2*m + a + 8 = -2*a. Solve -3 = -m*q - r for q. 1 Suppose -2*k = 3*k + 2*p - 56, -k - 4*p = -22. Let w be (k/3)/((-2)/3). Let q be (2/5)/(w/(-25)). Solve 0 = l + q*l for l. 0 Suppose r + 0 = -2*q
{ "pile_set_name": "DM Mathematics" }
etters picked without replacement from zzzyzxxzxzzzyzxyy. Give prob of picking 3 z and 1 x. 12/85 Four letters picked without replacement from {x: 3, v: 2, j: 2, c: 2, i: 6}. Give prob of picking 1 c, 2 x, and 1 i. 12/455 Four letters picked without replacement from kxdmtky. Give prob of picking 1 x, 2 k, and 1 m. 1/35 Calculate prob of picking 2 q when two letters picked without replacement from {q: 6}. 1 What is prob of picking 3 l when three letters picked without replacement from llllhhll? 5/14 Two letters picked without replacement from hthhhhkthhk. Give prob of picking 2 k. 1/55 Two letters picked without replacement from yuzsuuyuf. What is prob of picking 1 s and 1 z? 1/36 Calculate prob of picking 2 o, 1 z, and 1 b when four letters picked without replacement from bbbfoybbfzofffbfb. 1/340 Two letters picked without replacement from iwgfggwwgwfwwwwiggw. Give prob of picking 2 g. 5/57 Two letters picked without replacement from qqirqiirgs. Give prob of picking 1 i and 1 q. 1/5 Calculate prob of picking 4 q when four letters picked without replacement from {q: 7}. 1 What is prob of picking 1 w, 2 u, and 1 b when four letters picked without replacement from {b: 2, u: 4, w: 5}? 2/11 Calculate prob of picking 1 h and 2 u when three letters picked without replacement from cvvphbhu. 0 What is prob of picking 2 e and 2 x when four letters picked without replacement from xeeeeeexe? 1/6 Three letters picked without replacement from bsisiiib. Give prob of picking 2 b and 1 s. 1/28 Calculate prob of picking 1 e and 2 x when three letters picked without replacement from {x: 4, y: 1, a: 2, e: 2, p: 1, f: 2}. 3/55 What is prob of picking 1 s and 2 e when three letters picked without replacement from {s: 1, j: 10, e: 5, b: 1, y: 3}? 1/114 What is prob of picking 1 z, 1 d, and 1 g when three letters picked without replacement from {i: 1, d: 7, z: 8, g: 1}? 7/85 Calculate prob of picking 1 o, 1 b, 1 x, and 1 n when four letters picked without replacement from {b: 3, u: 2, y: 6, n: 2, x: 1, o: 6}. 12/1615 Calculate prob of picking 1 w and 1 v when two letters picked without replacement from vwvlowllllllowllo. 3/68 Calculate prob of picking 2 h when two letters picked without replacement from {k: 1, v: 1, h: 2, b: 1, y: 1, g: 1}. 1/21 What is prob of picking 3 u when three letters picked without replacement from {u: 11, i: 3, o: 1}? 33/91 What is prob of picking 1 r, 1 n, and 1 a when three letters picked without replacement from nrararfaaafrania? 1/10 Four letters picked without replacement from {p: 6, y: 4, t: 1, c: 3}. What is prob of picking 4 y? 1/1001 Calculate prob of picking 1 e and 2 d when three letters picked without replacement from {e: 2, d: 5}. 4/7 Two letters picked without replacement from {s: 1, e: 5, a: 5, y: 9}. Give prob of picking 2 a. 1/19 Four letters picked without replacement from oermzezzremzzvr. What is prob of picking 2 e, 1 m, and 1 r? 6/455 Three letters picked without replacement from {j: 11, n: 1, t: 5}. Give prob of picking 2 j and 1 t. 55/136 Four letters picked without replacement from {p: 7, j: 6}. Give prob of picking 4 p. 7/143 Calculate prob of picking 2 l when two letters picked without replacement from flll. 1/2 Four letters picked without replacement from nhhhw. What is prob of picking 1 n, 2 h, and 1 w? 3/5 What is prob of picking 2 v and 1 c when three letters picked without replacement from {c: 2, s: 4, v: 4}? 1/10 Two letters picked without replacement from {k: 1, l: 3, j: 5, h: 4}. What is prob of picking 1 h and 1 j? 10/39 Calculate prob of picking 1 g and 1 i when two letters picked without replacement from ugibfri. 2/21 Three letters picked without replacement from {r: 3, y: 5}. What is prob of picking 3 y? 5/28 What is prob of picking 4 q when four letters picked without replacement from {r: 3, q: 1, v: 1}? 0 What is prob of picking 3 t when three letters picked without replacement from stssstt? 1/35 Calculate prob of picking 1 j and 1 t when two letters picked without replacement from eeebfteje. 1/36 Two letters picked without replacement from duuuuuuuuuuuuuduuu. What is prob of picking 1 d and 1 u? 32/153 Three letters picked without replacement from {n: 4, i: 2, z: 10}. What is prob of picking 2 z and 1 n? 9/28 Three letters picked without replacement from {q: 3, e: 2, j: 4, i: 2, h: 2}. What is prob of picking 1 i and 2 e? 1/143 Four letters picked without replacement from ppcpcpccppcppcppcpp. Give prob of picking 3 c and 1 p. 35/323 Calculate prob of picking 1 w, 1 l, and 1 g when three letters picked without replacement from wtwtmtgtwtwmtmgl. 1/70 What is prob of picking 2 i when two letters picked without replacement from ccciccccccccicicic? 2/51 Two letters picked without replacement from gteetttggt. What is prob of picking 1 e and 1 t? 2/9 Calculate prob of picking 1 r, 2 f, and 1 v when four letters picked without replacement from {e: 1, f: 9, v: 2, x: 1, r: 5}. 2/17 What is prob of picking 4 w when four letters picked without replacement from {d: 2, w: 12, x: 5}? 165/1292 Four letters picked without replacement from qqqdqqqdqd. What is prob of picking 1 d and 3 q? 1/2 Calculate prob of picking 1 b and 1 d when two letters picked without replacement from {b: 6, d: 4}. 8/15 What is prob of picking 1 f and 2 k when three letters picked without replacement from fkkkksssk? 5/42 Two letters picked without replacement from wvvcttwka. Give prob of picking 1 k and 1 w. 1/18 Calculate prob of picking 2 v, 1 s, and 1 f when four letters picked without replacement from fvivs. 1/5 Two letters picked without replacement from {p: 5, h: 11}. Give prob of picking 2 p. 1/12 Two letters picked without replacement from {g: 1, r: 1, n: 2, z: 1}. What is prob of picking 1 n and 1 z? 1/5 Two letters picked without replacement from rkrnktnnkknrkkkuun. What is prob of picking 1 u and 1 n? 10/153 Calculate prob of picking 1 f and 1 g when two letters picked without replacement from fgffffffffgfffffff. 32/153 Four letters picked without replacement from {u: 4, f: 4, p: 6}. Give prob of picking 1 p and 3 f. 24/1001 Four letters picked without replacement from {s: 3, j: 7, q: 3}. What is prob of picking 3 q and 1 s? 3/715 Two letters picked without replacement from {l: 8, c: 4, u: 2}. Give prob of picking 1 c and 1 u. 8/91 Four letters picked without replacement from lglmmvlgmomgmmomll. Give prob of picking 1 l and 3 m. 35/612 What is prob of picking 2 o when two letters picked without replacement from oooooo? 1 Calculate prob of picking 1 l and 1 j when two letters picked without replacement from {j: 2, b: 1, y: 1, l: 4}. 2/7 Two letters picked without replacement from {m: 3, t: 2, c: 1, o: 8, e: 5}. What is prob of picking 1 e and 1 o? 40/171 Three letters picked without replacement from uugggggugg. What is prob of picking 3 g? 7/24 Calculate prob of picking 1 p, 2 n, and 1 d when four letters picked without replacement from oovpvppnvnopdpoovvd. 5/1938 Three letters picked without replacement from fffflfll. Give prob of picking 3 f. 5/28 Two letters picked without replacement from {w: 7, x: 2, c: 4, d: 1}. Give prob of picking 1 x and 1 c. 8/91 Two letters picked without replacement from qjjjjjjjjjjqjq. What is prob of picking 2 q? 3/91 Calculate prob of picking 2 y, 1 x, and 1 f when four letters picked without replacement from xndynyxdfyonyn. 12/1001 Calculate prob of picking 1 y, 1 r, 1 f, and 1 k when four letters picked without replacement from ykfymrrw. 2/35 What is prob of picking 1 p, 1 l, and 1 e when three letters picked without replacement from {g: 2, h: 1, r: 3, p: 1, e: 1, l: 5}? 5/286 Three letters picked without replacement from vvvvvvvvpvvvpvvp. Give prob of picking 3 p. 1/560 Calculate prob of picking 2 m and 1 v when three letters picked without replacement from vvvvvmvvvmvvvm. 33/364 Calculate prob of picking 1 l and 1 j when two letters picked without replacement from wwwwljjwwlww. 2/33 Calculate prob of picking 2 o when two letters picked without replacement from oozxxxzo. 3/28 Calculate prob of picking 1 a and 2 v when three letters picked without replacement from {a: 2, v: 4, w: 3}. 1/7 Calculate prob of picking 2 f and 2 j when four letters picked without replacement from jdddfdjkfdjdafj. 6/45
{ "pile_set_name": "DM Mathematics" }
e -10 - (-27 - -19 - -18). -20 -34 + -15 + 20 + 41 - (-5 - 46) 63 (22 - 12) + (13 - -27 - 16) 34 17 + 1 - (-76 + (-79 - -117)) 56 1 - -57 - ((-94 - -66) + (-22 - -42)) 66 What is 53 + (-1 - 22 - 59)? -29 What is 139 - -102 - 221 - (-40 + -2)? 62 What is the value of -29 - (-24 + (36 - 73 - -63))? -31 205 + -226 - (7 - 18 - -68) -78 Calculate 5 + 0 + -4 - (-10 - (-11 - -10)). 10 Calculate 1 + -16 + -1 + (14 - 19). -21 (35 - 0) + (-59 - (-85 + -35)) 96 Calculate 15833 + -15817 - (9 - (-1 - -1)). 7 (-178 - -186) + -2 + 43 - 0 49 Evaluate -3 + -42 - (-7 - -1 - (68 - 68)). -39 What is 185 + -195 - ((2 - (6 - 9)) + -38)? 23 What is (-23 - -11) + (-36 - -37) + 1 + -58? -68 Evaluate (6 + 4 - (1 + 2)) + (-22 - 2). -17 Evaluate (-70 - (-184 - -41)) + 19 + (0 - -3). 95 153 - (-50 - -34) - 83 86 What is (24 - (67 - 64) - 70) + (-1 - 11)? -61 Calculate (62 + 11 + -2 - -18) + 16 + 5. 110 What is 18 + (7 - 3) + 13 + (10 - 13)? 32 Evaluate (-2 - (2 + 9)) + (-238 - -239). -12 Calculate -1 - 1 - 2 - (-1993 + 2053). -64 Evaluate -48 - ((7 - (7 + -24)) + -4 + -8 + 2). -62 Calculate -3 - (9 - -13) - -3. -22 Evaluate -8 - ((-5 - (18 - 14)) + -8 + 38). -29 Evaluate 31 - (-47 + 12 + 19 + (25 - -3)). 19 Evaluate -50 - (-2 + 0 + 16 + -806 + 800). -58 Calculate -7 + (60 - (82 - 3)) + 1 + 1. -24 Evaluate -88 + -1 + -43 + 34 + (25 - 0). -73 Evaluate 29 - -13 - (0 + 1 - -1) - (-3726 - -3730). 36 14 + (32 - 23) + (18 - 29) 12 What is the value of 68 + -54 - 16 - (41 + 1)? -44 What is the value of 8 + 19 + 2 + (2 - 14) + 1 - 3? 15 What is -114 - -77 - 36 - -13? -60 (-29 - -3) + -382 + 521 113 What is the value of -39 + (-171 + 43 - -78)? -89 Evaluate (8751 - 8509) + (0 - 109). 133 What is 205 + -84 + (-28 - 38 - -28)? 83 What is 272 - (301 + -121) - (1 - 16 - 1)? 108 Evaluate 23 + -15 - (-1 - 0 - (-71 + 105)). 43 What is (3 + -2 + -1 - 0) + 12 + -839 + 851? 24 What is -96 - (-94 + (91 - 49))? -44 Evaluate -27 + 1 + -27 + (31 - (6 - 4)). -24 What is the value of (54 - (0 - 44 - -90)) + (-53 - (0 + -1))? -44 Calculate 45 + -7 - (1383 - 1254). -91 Calculate -23 - (-8 + 5 + -54 + 9). 25 What is the value of (49 - -44 - -28) + 9 + -41? 89 What is the value of 38 + -12 + -3 + (5 - 23)? 5 4190 + -4249 + (32 - 0) -27 Evaluate -117 + (2 - -37) + 5 - 10. -83 What is the value of 13 + -18 - (-170 + 202)? -37 Evaluate -14 + 0 + 72 + -22. 36 What is the value of 17 + -24 + -19 + 13 + 18 + -1 + 71? 75 What is the value of -4 - (3 + (-6 - 0)) - (10 + (-27 - 15))? 31 What is -23 + 40 + 55 - 51? 21 76 + (-45 - (30 - 79)) 80 Evaluate -12 - ((87 - 82) + (-1 - 7)) - -40 - 1. 30 26 - 113 - -66 - (11 - 0) -32 What is the value of -32 + -5 + -1 + 26 + -18 + -7? -37 What is -26 + (3 - -42) + 10? 29 28 + (-9 - -20) + (-4 - -3) 38 What is -43 + 23 + 16 - 11? -15 Calculate 64 + 24 + (-6 - (-8 + 13)). 77 What is (13 - (4 - 20 - (11 - 32))) + -4 + -5? -1 What is the value of -15 - (-15 - (57 - (39 - 71)))? 89 Evaluate 7 - (4 - (3 - (15 - (18 - (-10 - -17))))). 2 112 - (2 - (-71 - -11)) 50 What is (-40 - -55) + 11 + -73? -47 -16 - (-12 - (17 - 20) - 2) -5 Calculate -21 - (-1 - (-28 + 27)) - 25. -46 Calculate (13 - (1 - (-13 + 4) - -7)) + -3. -7 Calculate 3 - ((-108 - (5 + -20)) + (-7 - -28 - 8)). 83 -1 - 45 - (-17655 - -17666) -57 3 + 11 - (205 - (123 + -29)) -97 What is 1 + -42 + (92 - (62 - -47))? -58 3 + 59 - (-5 - -3) - (-1 + -17 + 10) 72 What is the value of 1 + 9 + (-5 + (5 - -13) - (-103 - -126))? 0 (5 - 0) + 3609 + -3590 24 Calculate 123 - (120 - (158 - 112)). 49 -52 + 0 + (-3 - (19 + -13 - -4)) -65 What is 1045 + -1033 - (26 - 0) - -16? 2 What is the value of 5 + (5 - 6 - -58) + -8 + -27 + 26? 53 Calculate -23 + 40 + -32 - 19. -34 What is 50 - (70 + 13 + -24)? -9 Calculate 196 + -187 + 12 + 3 + (-2 - 15). 7 (-18 - 57) + 57 - -57 39 -5 - (3 + 17 + -18 + (-65 - (-4 - -5))) 59 What is (2 + 105 - -1) + 1946 + -1975? 79 What is the value of -39 + (-3 - -37) + (3 - -5) - 97? -94 What is -8 - (-100 - -122 - (-4 - -8 - 6))? -32 (-30 - (-56 + 16)) + -65 -55 Calculate 31 - -1 - (-7 - -20) - 40. -21 -1329 + 1405 + -1 + -51 24 What is 18 + -43 - -20 - -38 - (10 - -1)? 22 Evaluate (16 - 59) + -27 - (-21 - 9). -40 Calculate (19 - 2) + (-27 - (-43 + 24)) - 54. -45 Calculate 6852 - 6799 - (-1 + -30). 84 What is the value of -3 + -4 + (24 - (-6 - -39))? -16 What is the value of -140 - (-116 + 260 + -325)? 41 Calculate 83 + 75 + -165 + (40 - -2). 35 Calculate -18 + (78 - 67 - -10). 3 Calculate 4 + 1 + -20 + 34 + -8 - (-59 - -2). 68 What is the value of -7 - 3 - (-66 - -74)? -18 Evaluate 58 + 1 + (-11 + (-12 - -24) - -10). 70 What is -40 - (116 - 168) - -29? 41 What is the value of -19 + (4 + 1 - (-23 + 45)) + -19? -55 What is the value of 0 - (-11 - ((4 - 18) + 101 + 0))? 98 What is -2701 - -2688 - (-31 + 0)? 18 What is the value of -78 + (-27 + 14 - -24) + -30? -97 Calculate 124 - (-18 + 181 + -187 + (-1 + -1 - -14)). 136 What is the value of 2 + (23 - (-32 - (-46 + 26)))? 37 Evaluate -101 + 107 + 5 + 0 + -1 + -53. -43 -28 - (4 - (11 - 3) - (10 - 5)) -19 What is 19 - ((-1 - 52) + 163 + -161 - -5)? 65 What is the value of 9 + 8 + -9 + 2 + (-2 - -27)? 35 What is -3 + (-6 - -3) - (68 - (13 - (17 - 34)))? -44 Evaluate 85 + -124 + 188 - 106. 43 (18 - (-43 + 4 - -83)) + 132 106 What is -11 + (-77 + 31 - -40)? -17 Calculate -20 + (0 - ((13 + -12 - 14) + 10)). -17 What is (196 + -232 - (-57 + 2)) + (-1 - (0 + 1))? 17 6 + -3 + -8 + 3 - (-390 - -396) -8 (-20 - ((-3 - -1) + -7)) + -5 + -43 + -3 -62 Evaluate 7 - (0 - -35 - (12 + 69 + -98)). -45 Calculate (4 - -130) + (1016 - 1103). 47 What is (-16 - (-20 + (17 - 4))) + 59? 50 -5 - (-74 + -8 + (37 - 13 - 2)) 55 What is -22 + 48 + -70 + 5 + 62? 23 Evaluate 35 + -37 + 11 + -75 + 29. -37 Evaluate -55 - ((8 - 6) + 0 - 19). -38 Calculate -14 + (-18 + -3 - -38) + 20. 23 Calculate -63 + -64 + 48 + 97. 18 24 + (-8 + 1 - (6 - 25)) 36 Evaluate 9 - (-3 + 3 + 1) - (15 - 10 - -16). -13 What is (-7 - (-48 - -67)) + (3 - 42)? -65 What is (-70 - (12 + -26) - -2) + 4 + 1 + -6? -55 (5321 - 5439) + 32 + -2 -88 82 + -11 + 567 + -603 35 Evaluate -3 + (-1 - -6) - 43 - (-173 - -177). -45 Calculate -115 + (1 + 141 - 176). -149 (42 - 40) + -35 - -46 13 Evaluate -2 + -14 + 3 - (-11 + -82 + 32 + -44). 92 What is -49 + -1 + (-9 + 49 - 52)? -62 Evaluate (-21 - (-1 - 1)) + (-25 - -12 - -1). -31 What is (-22 - -30 - -7) + (0 - (-6 - -9 - -61))? -49 -230 + 108 + 127 + (-54 - 2) + 0 -51 What is -7 + -29 + 39 - 29? -26 Evaluate (-11 - -35) + (20 - (17 - 10 - -5)). 32 What is the value of (-51 - (-2 - -1)) + 22 + (11 - 42 - -16)? -43 112 - (-4 + 1) - (-412 + 430) 97 What is the value of 2665 - 2660 - (-27 + 0)? 32 What is the value of (9 + -18 + (2 - -10) - -3) + -1? 5 Calculate -8 + (8 - ((22 - 12) + 10)) + -28. -48 What is -18 - (0 + -3) - (-45 - (-10 - -18))? 38 What is the value of (27 - -15) + (12 - (6 + -62))? 110 Calculate -16 + (-1 - (-1 + 0)) + -3008 + 3026. 2 What is (-25 - 41) + (25 - (21 - -1))? -63 What is 11 - (75 - 91 - (-2 + -74))? -49 -67 + 81 + -25 + -43 -54 What is the value of 1 + 49 + (-15694 - -15686)? 42 -1 - -7 - 17 - (-18 + -4 - 16) 27 What is (18 - 38) + (29 - (-11 - -4))? 16 Evaluate (59 - 58) + (0 - (-1 - 2)). 4 -5 - ((6 - (7 - 4) - (-18 - -20)) + -57) 51 Evaluate 692 + -698 - ((1 - 1) + -74 + (-1 - -4)). 65 Calculate -103 + 100 + (-26 + 3 - 3) + 9 + -5. -25 126 + -15 + 26 + (-39 - -19) 117 Evaluate -23 + 7 + 33 - -24. 41 What is 6 + (-10 - (13 + -58) - 13) - (8 - 0)? 20 Evaluate 25 + (-17 - 16 - -48) + -19 + 2. 23 What is the value of 7 - -1 - (-25 + -50 + 86) - 15 - 10? -28 Calculate -76 - (-17 - 92) - (0 - 58). 91 What is (-23 - (0 - 1)) + 474 + -396? 56 -131 - -74 - (5 + -11) -51 What is 6 + 2 - -5 - ((15 - -70) + -21)? -51 Evaluate -261 + -57 + 316 - (-65 - (0 - 0)). 63 Evaluate -136 + (140 - (60 + 23)). -79 What is the value of -6 + 41 - (48 - 8)? -5 What is -4 - (1 + 23 - 32) - -39? 43 (214 - 256) + 0 + 1 - -10 -31 Calculate -25 - 1 - (-152 - (178 - 342)). -38 Calculate -2 + (-1 - -11) - (49 - 85 - -53). -9 (-16 - -37) + (20 - (42 + -48)) 47 15 - (1 + 70) - 3 -59 What is -153 - 0 - (-29 + -19 + 23)? -128 What is -24 - (17 - (-46 + 23 - -29))? -35 What is the value of -88 - (-20 + -50 + -67)? 49 69 - (96 - (0 - -36)) 9 Evaluate 4 + 40 + 13 + (1 - (15 - 0)). 43 What is 21
{ "pile_set_name": "DM Mathematics" }
ezzriddimrremiir. What is prob of sequence zr? 4/153 Three letters picked without replacement from ggagmzzmzggzzzmak. What is prob of sequence kgm? 1/272 Calculate prob of sequence gggg when four letters picked without replacement from ggyygyyyyyggyggyyggy. 42/1615 Calculate prob of sequence qzdq when four letters picked without replacement from {d: 6, z: 1, e: 2, q: 2}. 1/660 What is prob of sequence jcki when four letters picked without replacement from cikcuiiicivj? 1/792 Four letters picked without replacement from {t: 1, m: 2, v: 2, w: 1, u: 1}. What is prob of sequence vmum? 1/210 Two letters picked without replacement from zxgiqxxqsxxsi. What is prob of sequence gs? 1/78 Two letters picked without replacement from {i: 5, c: 1, r: 14}. What is prob of sequence ir? 7/38 Calculate prob of sequence on when two letters picked without replacement from {x: 3, c: 2, n: 4, g: 2, r: 2, o: 3}. 1/20 What is prob of sequence oo when two letters picked without replacement from ouho? 1/6 Three letters picked without replacement from {o: 3, t: 1, n: 6, r: 3, v: 1}. What is prob of sequence non? 15/364 Two letters picked without replacement from krvrzrzvzr. Give prob of sequence vr. 4/45 What is prob of sequence ddes when four letters picked without replacement from {d: 2, s: 4, u: 2, p: 2, t: 3, e: 3}? 1/1820 Four letters picked without replacement from ggcssc. What is prob of sequence cssg? 1/45 What is prob of sequence xxxp when four letters picked without replacement from pxpppxpxpx? 1/35 What is prob of sequence gcgc when four letters picked without replacement from cocgcgoo? 1/140 Two letters picked without replacement from {p: 2, b: 4, n: 1, l: 2, f: 3, g: 8}. What is prob of sequence pl? 1/95 Three letters picked without replacement from fbbffufufbcfbzcjb. What is prob of sequence ufc? 1/170 Two letters picked without replacement from {b: 2, x: 1, g: 2, a: 1, i: 1, c: 1}. Give prob of sequence xa. 1/56 Three letters picked without replacement from {o: 3, j: 2, h: 6, q: 1, t: 3}. What is prob of sequence qoj? 1/455 Two letters picked without replacement from {x: 4, t: 3, o: 3, n: 3}. Give prob of sequence xx. 1/13 Three letters picked without replacement from {g: 1, j: 2, l: 1, t: 4, x: 3}. Give prob of sequence tjx. 4/165 What is prob of sequence vkm when three letters picked without replacement from wjkvjwvnvjvmwvm? 1/273 Three letters picked without replacement from qqyyyyqyqqqqqqyy. Give prob of sequence qyy. 9/80 What is prob of sequence sjsg when four letters picked without replacement from jsjjjssjjgsgs? 2/143 Two letters picked without replacement from coxoogffgfogwwxgcw. Give prob of sequence ox. 4/153 Four letters picked without replacement from zezzvazevev. Give prob of sequence zezz. 1/110 Four letters picked without replacement from {l: 5, n: 3, a: 1, f: 4, u: 1, i: 1}. What is prob of sequence ilnn? 1/1092 Calculate prob of sequence aiai when four letters picked without replacement from aiiiiaiiaaiaa. 21/286 Two letters picked without replacement from xxxixxxxxixxxxxi. Give prob of sequence xx. 13/20 Four letters picked without replacement from krnnnknnnknnk. What is prob of sequence nnkr? 28/2145 What is prob of sequence ps when two letters picked without replacement from {p: 1, v: 2, s: 1, o: 2}? 1/30 Two letters picked without replacement from {v: 5, i: 4, b: 2}. What is prob of sequence bi? 4/55 What is prob of sequence bvbb when four letters picked without replacement from {b: 7, v: 3}? 1/8 Three letters picked without replacement from {b: 2, s: 11}. What is prob of sequence bbs? 1/78 Four letters picked without replacement from {a: 1, f: 1, r: 3, k: 9}. What is prob of sequence kakf? 3/1001 Calculate prob of sequence ahqq when four letters picked without replacement from pqhqpqpqappppppaaph. 1/1292 Four letters picked without replacement from xtttxttxtt. What is prob of sequence xtxx? 1/120 What is prob of sequence dqdf when four letters picked without replacement from kkwkqqdwfkknfqddnk? 1/2040 Three letters picked without replacement from {e: 1, b: 1, o: 4, f: 6, s: 1}. Give prob of sequence eob. 1/429 Four letters picked without replacement from {m: 3, h: 1, e: 1}. What is prob of sequence emhm? 1/20 Two letters picked without replacement from {y: 1, n: 2, b: 2, p: 1, x: 1}. What is prob of sequence pb? 1/21 What is prob of sequence xc when two letters picked without replacement from xrucxrucrxuuuuurxc? 2/51 What is prob of sequence ywg when three letters picked without replacement from ygw? 1/6 Three letters picked without replacement from {o: 1, y: 2}. What is prob of sequence yyo? 1/3 Calculate prob of sequence ln when two letters picked without replacement from {f: 1, l: 1, n: 2}. 1/6 Three letters picked without replacement from ffhadqdqddqqqdddhd. Give prob of sequence fqa. 5/2448 Four letters picked without replacement from {g: 5, c: 2, m: 1, j: 8}. What is prob of sequence cmcj? 1/2730 Two letters picked without replacement from {u: 1, i: 2, w: 4, d: 2, f: 8, l: 2}. What is prob of sequence id? 2/171 What is prob of sequence ooo when three letters picked without replacement from {l: 9, i: 4, o: 3}? 1/560 Calculate prob of sequence if when two letters picked without replacement from {j: 1, i: 1, v: 3, f: 2}. 1/21 Three letters picked without replacement from {x: 3, a: 17}. What is prob of sequence xax? 17/1140 Calculate prob of sequence khy when three letters picked without replacement from hkhkkkhhyhyyky. 25/546 Three letters picked without replacement from {j: 4, v: 2, s: 1}. What is prob of sequence vsj? 4/105 Two letters picked without replacement from dwdddddddddw. Give prob of sequence ww. 1/66 Three letters picked without replacement from {w: 2, d: 10}. Give prob of sequence dww. 1/66 Calculate prob of sequence xxw when three letters picked without replacement from wxwxxwwwxxwx. 3/22 What is prob of sequence vav when three letters picked without replacement from yqvnvvavv? 5/126 Calculate prob of sequence sb when two letters picked without replacement from bsbbbbsbbbbbsb. 33/182 Four letters picked without replacement from {m: 1, d: 1, n: 1, g: 1, p: 2, j: 1}. What is prob of sequence gmpj? 1/420 Three letters picked without replacement from qdctg. Give prob of sequence cgq. 1/60 Calculate prob of sequence lqlq when four letters picked without replacement from qlqqqlqqqqqqq. 1/78 Three letters picked without replacement from lccccclccl. Give prob of sequence lll. 1/120 What is prob of sequence mt when two letters picked without replacement from {j: 5, m: 2, q: 3, t: 1, y: 8}? 1/171 Calculate prob of sequence aarr when four letters picked without replacement from aararraaararaa. 60/1001 Two letters picked without replacement from gwywywt. Give prob of sequence yy. 1/21 What is prob of sequence lh when two letters picked without replacement from lrhlhshh? 1/7 What is prob of sequence ntt when three letters picked without replacement from tnqttnqpqttt? 1/22 Two letters picked without replacement from {e: 1, h: 7}. Give prob of sequence hh. 3/4 Two letters picked without replacement from {p: 1, j: 1, v: 1, u: 2}. What is prob of sequence pv? 1/20 Calculate prob of sequence fjr when three letters picked without replacement from {r: 4, f: 7, k: 1, j: 6}. 7/204 What is prob of sequence zipi when four letters picked without replacement from dleppzieeiiz? 1/495 Two letters picked without replacement from xvjjjvvjvv. What is prob of sequence xv? 1/18 What is prob of sequence yy when two letters picked without replacement from {y: 5, l: 3}? 5/14 Calculate prob of sequence aau when three letters picked without replacement from aiuanadqiaiia. 5/429 Three letters picked without replacement from {j: 7, s: 4}. Give prob of sequence jss. 14/165 Calculate prob of sequence dd when two letters picked without replacement from {d: 3, u: 1}. 1/2 Calculate prob of sequence ff when two letters picked without replacement from {y: 1, f: 3}. 1/2 What is prob of sequence oo when two letters picked without replacement from {v: 1, l: 6, o: 12}? 22/57 Four letters picked without replacement from mfzzumufmuumurumfkur. Give prob of sequence frmf. 1/1938 Two letters picked without replacement from ddddmdodimddddd. What is prob of sequence
{ "pile_set_name": "DM Mathematics" }
tters picked without replacement from {d: 2, z: 4, x: 1, o: 2}. Give prob of picking 2 z. 1/6 What is prob of picking 2 n and 2 s when four letters picked without replacement from dspjn? 0 Two letters picked without replacement from {k: 1, x: 1, z: 2, u: 1, m: 1, s: 2}. What is prob of picking 1 x and 1 s? 1/14 Calculate prob of picking 1 f, 1 d, and 1 p when three letters picked without replacement from {w: 1, p: 3, d: 1, f: 2}. 6/35 What is prob of picking 1 a and 1 z when two letters picked without replacement from {x: 1, z: 5, r: 1, j: 1, a: 3, u: 2}? 5/26 Two letters picked without replacement from cqcfqycpccqqhchq. Give prob of picking 1 p and 1 c. 1/20 Four letters picked without replacement from jjjajaajjaajjjjji. Give prob of picking 1 j and 3 a. 11/238 Three letters picked without replacement from {z: 4, n: 9, u: 4}. What is prob of picking 1 n and 2 z? 27/340 Calculate prob of picking 1 l and 2 k when three letters picked without replacement from kkjkjjlrllk. 6/55 Two letters picked without replacement from {z: 9}. Give prob of picking 2 z. 1 What is prob of picking 2 i and 1 v when three letters picked without replacement from {y: 8, w: 4, z: 2, v: 3, i: 2}? 1/323 Calculate prob of picking 1 q and 3 s when four letters picked without replacement from {q: 3, s: 1}. 0 Calculate prob of picking 1 z and 1 b when two letters picked without replacement from {b: 2, k: 2, a: 1, y: 1, z: 2}. 1/7 Four letters picked without replacement from {v: 4, h: 3, u: 7, w: 3, o: 1}. What is prob of picking 1 o, 2 v, and 1 h? 1/170 What is prob of picking 1 p and 1 c when two letters picked without replacement from {c: 1, n: 1, j: 2, r: 1, p: 1, y: 1}? 1/21 Calculate prob of picking 2 h and 2 o when four letters picked without replacement from {o: 3, h: 4, f: 1}. 9/35 What is prob of picking 1 s and 1 b when two letters picked without replacement from bjbbdsbsbxtbbb? 16/91 What is prob of picking 1 z and 1 h when two letters picked without replacement from {r: 8, z: 2, m: 4, h: 3}? 3/68 Four letters picked without replacement from {e: 7, q: 1, j: 4, h: 2, l: 1}. Give prob of picking 1 j, 2 e, and 1 h. 8/65 What is prob of picking 1 q and 2 p when three letters picked without replacement from ppqkqqkpppqqqpk? 18/91 Two letters picked without replacement from llzllzlzlll. Give prob of picking 2 z. 3/55 Calculate prob of picking 2 j, 1 n, and 1 d when four letters picked without replacement from {j: 6, x: 1, n: 1, d: 1}. 5/42 Two letters picked without replacement from llxmlmllzlzexmlezlz. Give prob of picking 1 x and 1 m. 2/57 Two letters picked without replacement from {j: 11, e: 2, z: 1, y: 5}. What is prob of picking 1 y and 1 e? 10/171 Two letters picked without replacement from {h: 2, v: 3, e: 1, k: 2, j: 4}. Give prob of picking 2 j. 1/11 Two letters picked without replacement from pdpldppxp. Give prob of picking 2 d. 1/36 Calculate prob of picking 1 q and 1 r when two letters picked without replacement from {n: 1, r: 1, h: 2, i: 1, f: 1, q: 2}. 1/14 Calculate prob of picking 1 x, 1 r, and 1 m when three letters picked without replacement from {t: 3, g: 6, f: 1, m: 5, x: 1, r: 1}. 1/136 Calculate prob of picking 2 b when two letters picked without replacement from gbgb. 1/6 What is prob of picking 1 e, 1 k, and 1 s when three letters picked without replacement from {u: 1, e: 1, p: 1, k: 1, s: 1}? 1/10 Two letters picked without replacement from {m: 1, f: 16, e: 1}. Give prob of picking 1 f and 1 m. 16/153 What is prob of picking 1 v and 1 g when two letters picked without replacement from zzvgggzzhgzzvog? 2/21 Calculate prob of picking 2 f, 1 t, and 1 n when four letters picked without replacement from nrfnfnnnttn. 2/55 Calculate prob of picking 1 r and 3 a when four letters picked without replacement from karanntaakranntaa. 1/34 What is prob of picking 1 l and 1 t when two letters picked without replacement from trrrtalr? 1/14 What is prob of picking 1 s and 1 t when two letters picked without replacement from {t: 10, n: 3, s: 2}? 4/21 Two letters picked without replacement from {w: 11, q: 6, e: 2}. Give prob of picking 2 q. 5/57 Calculate prob of picking 1 f and 1 o when two letters picked without replacement from bonbobf. 2/21 Two letters picked without replacement from {t: 4, e: 1, w: 1, u: 6, d: 4}. What is prob of picking 1 u and 1 e? 1/20 Three letters picked without replacement from pppcvkcp. Give prob of picking 2 c and 1 p. 1/14 Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {t: 6, q: 2, k: 3, i: 1, x: 1}. 1/13 Four letters picked without replacement from llplllllp. What is prob of picking 2 p and 2 l? 1/6 Calculate prob of picking 2 n and 2 y when four letters picked without replacement from wnyhnywhyy. 1/35 Calculate prob of picking 1 o and 1 a when two letters picked without replacement from oyvvvyyvvdvyyvvva. 1/136 Two letters picked without replacement from {u: 7, h: 1}. What is prob of picking 1 h and 1 u? 1/4 What is prob of picking 1 y and 1 c when two letters picked without replacement from {v: 1, c: 4, b: 2, y: 2, m: 1}? 8/45 Two letters picked without replacement from lliaiilroairrora. Give prob of picking 2 a. 1/40 Two letters picked without replacement from {i: 2, w: 1, z: 1, y: 1, r: 1, s: 1}. What is prob of picking 2 i? 1/21 Two letters picked without replacement from {l: 2, x: 1, y: 2, b: 1}. What is prob of picking 1 y and 1 x? 2/15 Four letters picked without replacement from vvjvvvvjwjvjwwwvjvvj. What is prob of picking 3 j and 1 v? 40/969 Two letters picked without replacement from nnmjjovgo. What is prob of picking 1 n and 1 m? 1/18 Two letters picked without replacement from fxxxfxffxf. What is prob of picking 2 f? 2/9 Two letters picked without replacement from llpplpxuxl. What is prob of picking 2 l? 2/15 Four letters picked without replacement from {l: 1, w: 14, j: 5}. Give prob of picking 1 j and 3 w. 364/969 Three letters picked without replacement from jsjssqwqqsqqjsqsqjss. Give prob of picking 1 q, 1 w, and 1 j. 7/285 Calculate prob of picking 1 f and 1 z when two letters picked without replacement from {z: 5, f: 3, u: 3, p: 2}. 5/26 What is prob of picking 2 d when two letters picked without replacement from {q: 2, r: 3, v: 6, d: 8}? 28/171 What is prob of picking 3 v when three letters picked without replacement from kbbbovkbobobvonbbkv? 1/969 Four letters picked without replacement from {w: 5, p: 1, e: 4, q: 3}. What is prob of picking 4 w? 1/143 Calculate prob of picking 3 s and 1 h when four letters picked without replacement from {s: 9, h: 5}. 60/143 Three letters picked without replacement from {k: 1, h: 5, g: 3, z: 4, b: 5}. Give prob of picking 1 g, 1 b, and 1 z. 5/68 What is prob of picking 2 v when two letters picked without replacement from {q: 4, r: 3, v: 7}? 3/13 Calculate prob of picking 2 l, 1 g, and 1 a when four letters picked without replacement from llgdddlaaldadd. 18/1001 Three letters picked without replacement from jjlllljjjjjjljjjlj. Give prob of picking 1 j and 2 l. 15/68 Four letters picked without replacement from {q: 2, d: 7, k: 4}. Give prob of picking 2 k and 2 q. 6/715 Calculate prob of picking 1 z and 1 q when two letters picked without replacement from zvqvqvvzq. 1/6 Two letters picked without replacement from {l: 8, e: 5}. What is prob of picking 1 l and 1 e? 20/39 Calculate prob of picking 3 l when three letters picked without replacement from llllmllllllllll. 4/5 Calculate prob of picking 3 o when three letters picked without replacement from oxxxxxxooxo. 4/165 Calculate prob of picking 2 c when two letters picked without replacement from ccccccccc. 1 Two letters picked without replacement from ximmhjxxxmjyjxxm. Give prob of picking 1 j and 1 x. 3/20 Two letters picked without replacement from tppjjt. What is prob of picking 1 t and 1 p? 4/15 Four letters picked without replacement from nppppnppanpb. What is prob of picking 1 p and 3 n? 7/495 Calculate prob of picking 2 i and 2 u when four letters picked without replacement from uiuiuuuuiuuuiuuuiu. 13/51 Calculate prob of picking 2 z and 2 x when four letters picked without replacement from {x: 3, z: 5}. 3/7 Calculate prob of picking 1 q, 1 x, and 2 a when four letters picked with
{ "pile_set_name": "DM Mathematics" }
527, 214578, 383153? 24262*t**2 - 1259*t - 3 What is the w'th term of -474, -1134, -1904, -2784? -55*w**2 - 495*w + 76 What is the w'th term of 834, 1553, 2284, 3027? 6*w**2 + 701*w + 127 What is the j'th term of 690268, 690226, 690184, 690142, 690100? -42*j + 690310 What is the q'th term of 12544, 26965, 41386? 14421*q - 1877 What is the s'th term of -9055, -16657, -29325, -47059, -69859, -97725? -2533*s**2 - 3*s - 6519 What is the w'th term of 4377, 7301, 12165, 18963, 27689, 38337? -w**3 + 976*w**2 + 3*w + 3399 What is the t'th term of -259, 7, 431, 1001, 1705, 2531, 3467, 4501? -2*t**3 + 91*t**2 + 7*t - 355 What is the z'th term of 24229, 24111, 23993, 23869, 23733, 23579, 23401? -z**3 + 6*z**2 - 129*z + 24353 What is the h'th term of -31368, -62865, -94360, -125853, -157344, -188833, -220320? h**2 - 31500*h + 131 What is the c'th term of 1164, 1314, 2842, 6438, 12792? 115*c**3 - c**2 - 652*c + 1702 What is the k'th term of 676034, 1352064, 2028094? 676030*k + 4 What is the l'th term of 327, 610, 879, 1134, 1375, 1602, 1815? -7*l**2 + 304*l + 30 What is the w'th term of 1035622, 1035977, 1036332? 355*w + 1035267 What is the b'th term of 800317, 800306, 800285, 800248, 800189, 800102, 799981, 799820? -b**3 + b**2 - 7*b + 800324 What is the m'th term of -16973, -62446, -138235, -244340, -380761, -547498, -744551? -15158*m**2 + m - 1816 What is the r'th term of 94320, 377545, 849580, 1510419, 2360056, 3398485? -r**3 + 94411*r**2 - r - 89 What is the p'th term of 10556, 8670, 6784, 4898, 3012? -1886*p + 12442 What is the z'th term of 79804, 159911, 240018, 320125? 80107*z - 303 What is the n'th term of 162111, 324189, 486267, 648345? 162078*n + 33 What is the a'th term of 2804, 2780, 2792, 2840? 18*a**2 - 78*a + 2864 What is the a'th term of 9639, 22388, 35137, 47886, 60635? 12749*a - 3110 What is the q'th term of 5326, 14096, 22872, 31654, 40442? 3*q**2 + 8761*q - 3438 What is the i'th term of 29070, 28254, 27438, 26622, 25806, 24990? -816*i + 29886 What is the j'th term of 85959, 343738, 773371, 1374858? 85927*j**2 - 2*j + 34 What is the b'th term of -4081, -9205, -14329? -5124*b + 1043 What is the c'th term of 557548, 557273, 556998, 556723, 556448? -275*c + 557823 What is the i'th term of 670, 1564, 2458? 894*i - 224 What is the m'th term of 27200029, 27200034, 27200043, 27200056, 27200073, 27200094? 2*m**2 - m + 27200028 What is the b'th term of -5066, -5230, -5508, -5900, -6406, -7026, -7760? -57*b**2 + 7*b - 5016 What is the l'th term of -98798, -197662, -296528, -395396, -494266, -593138? -l**2 - 98861*l + 64 What is the y'th term of 19236062, 38472120, 57708178, 76944236, 96180294? 19236058*y + 4 What is the f'th term of 701518, 1402958, 2104396, 2805832? -f**2 + 701443*f + 76 What is the w'th term of -2864343, -5728685, -8593027, -11457369, -14321711, -17186053? -2864342*w - 1 What is the l'th term of -55204, -60880, -66556, -72232, -77908, -83584? -5676*l - 49528 What is the u'th term of -61101, -245710, -553391, -984144, -1537969, -2214866, -3014835? -61536*u**2 - u + 436 What is the x'th term of 83365, 83315, 83275, 83251, 83249, 83275, 83335? x**3 - x**2 - 54*x + 83419 What is the f'th term of 259659, 519341, 779023, 1038705, 1298387, 1558069? 259682*f - 23 What is the r'th term of 32938, 34358, 35778, 37198? 1420*r + 31518 What is the o'th term of -152287052, -304574106, -456861160? -152287054*o + 2 What is the f'th term of -625991, -625977, -625939, -625865, -625743, -625561? 2*f**3 - 625993 What is the b'th term of 1972551, 7890349, 17753353, 31561569, 49315003, 71013661, 96657549? b**3 + 1972597*b**2 - 47 What is the d'th term of -24956, -36000, -47044, -58088? -11044*d - 13912 What is the p'th term of 471, 1845, 4109, 7257, 11283, 16181, 21945? -p**3 + 451*p**2 + 28*p - 7 What is the q'th term of 13144491, 13144469, 13144447, 13144425, 13144403, 13144381? -22*q + 13144513 What is the o'th term of -25422, -25275, -25128, -24981, -24834, -24687? 147*o - 25569 What is the k'th term of 36863, 147486, 331859, 589982, 921855, 1327478, 1806851? 36875*k**2 - 2*k - 10 What is the f'th term of -34019, -68033, -102031, -136001, -169931, -203809? 2*f**3 - 4*f**2 - 34016*f - 1 What is the r'th term of -51121, -111630, -172139, -232648, -293157, -353666? -60509*r + 9388 What is the w'th term of 46680, 93362, 140060, 186780, 233528, 280310? w**3 + 2*w**2 + 46669*w + 8 What is the o'th term of 56526, 226130, 508804, 904554, 1413386, 2035306, 2770320, 3618434? o**3 + 56529*o**2 + 10*o - 14 What is the i'th term of -129222, -516894, -1163012, -2067576? -129223*i**2 - 3*i + 4 What is the x'th term of 994, 1933, 3520, 5767, 8686? 2*x**3 + 312*x**2 - 11*x + 691 What is the t'th term of 197203, 394418, 591665, 788956, 986303, 1183718, 1381213, 1578800? 2*t**3 + 4*t**2 + 197189*t + 8 What is the h'th term of 36260, 36403, 36638, 36965? 46*h**2 + 5*h + 36209 What is the q'th term of 6794, 6803, 6840, 6923, 7070? 3*q**3 - 4*q**2 + 6795 What is the p'th term of 147, 422, 1055, 2190, 3971, 6542, 10047? 24*p**3 + 35*p**2 + 2*p + 86 What is the a'th term of -826, -3609, -8300, -14899, -23406, -33821, -46144? -954*a**2 + 79*a + 49 What is the l'th term of 6866, 26846, 60146, 106766? 6660*l**2 + 206 What is the f'th term of -260, -5302, -10342, -15380, -20416? f**2 - 5045*f + 4784 What is the f'th term of -688566, -688617, -688668, -688719, -688770, -688821? -51*f - 688515 What is the f'th term of -9621, -19354, -29105, -38874, -48661, -58466? -9*f**2 - 9706*f + 94 What is the i'th term of 49121, 51022, 54199, 58658, 64405, 71446, 79787, 89434? i**3 + 632*i**2 - 2*i + 48490 What is the z'th term of 246066, 984247, 2214548, 3936975, 6151534? z**3 + 246054*z**2 + 12*z - 1 What is the j'th term of 89879, 179759, 269635, 359507, 449375? -2*j**2 + 89886*j - 5 What is the w'th term of 7157925, 14315849, 21473759, 28631649, 35789513, 42947345, 50105139? -w**3 - w**2 + 7157934*w - 7 What is the v'th term of 1733, 2906, 4059, 5186, 6281, 7338, 8351? -v**3 - 4*v**2 + 1192*v + 546 What is the r'th term of -38518, -78318, -118104, -157870, -197610, -237318? r**3 + r**2 - 39810*r + 1290 What is the i'th term of -127112, -254224, -381336, -508448, -635560? -127112*i What is the z'th term of -4785111, -4785085, -4785059? 26*z - 4785137 What is the b'th term of -54701021, -54701014, -54700995, -54700958, -54700897, -54700806? b**3 - 54701022 What is the u'th term of 449144, 898284, 1347428, 1796576, 2245728? 2*u**2 + 449134*u + 8 What is the j'th term of -212070472, -212070470, -212070468, -212070466, -212070464, -212070462? 2*j - 212070474 What is the s'th term of 154, 2256, 7956, 19054, 37350, 64644, 102736? 300*s**3 - s**2 + 5*s - 150 What is the y'th term of 466, 242, -142, -692, -1414, -2314? -y**3 - 74*y**2 + 5*y + 536 What is the n'th term of -44138, -176710, -397716, -707156, -1105030, -1591338, -2166080? -44217*n**2 + 79*n What is the a'th term of 4, -169, -600, -1379, -2596, -4341, -6704? -15*a**3 - 39*a**2 + 49*a + 9 What is the z'th term of -1485, -1490, -1513, -1554, -1613, -1690, -1785? -9*z**2 + 22*z - 1498 What is the u'th term of 73998, 73754, 73500, 73230, 72938? -u**3 + u**2 - 240*u + 74238 What is the z'th term of -43912, -175129, -393824, -699997, -1093648, -1574777? -43739*z**2 - 173 What is the z'th term of -25254, -201954, -681572, -1615566, -3155394, -5452514, -8658384? -25243*z**3 - z**2 + 4*z - 14 What is the h'th term of 2598993, 2598986, 2598975, 2598960, 2598941? -2*h**2 - h + 2598996 What is the k'th term of -2271, -4461, -6395, -8073? 128*k**2 - 2574*k + 175 What is the y'th term of 29, 1313, 3453, 6449, 10301, 15009? 428*y**2 - 399 What is the u'th term of 7639, 7275, 6915, 6559, 6207, 5859, 5515? 2*u**2 - 370*u + 8007 What is the z'th term of -1145, 2715, 16569, 45415, 94251, 168075, 271885? 833*z**3 - z**2 - 1968*z - 9 What is the u'th term of -27423, -109724, -246893, -438930, -685835, -987608, -1344249? -27434*u**2 + u + 10 What is the p'th term of 16675, 32448, 48233, 64036, 79863, 95720? p**3 + 15766*p + 908 What is the j'th term of 1362, 1283, 1302, 1419, 1634? 49*j**2 - 226*j + 1539 What is the n'th term of 14172531, 28345088, 42517645, 56690202, 70862759, 85035316? 14172557*n - 26 What is the b'th term of 5666, 8514, 11362,
{ "pile_set_name": "DM Mathematics" }
/3, 2, 3, -2 in decreasing order. 904, 3, 2, 0, -2/3, -2, -3 Sort -3, -7, 633, 5, -2 in increasing order. -7, -3, -2, 5, 633 Sort 0.28, 257, -3, 0.2, -1.9, 5 in ascending order. -3, -1.9, 0.2, 0.28, 5, 257 Sort 0.07, -170.3, -0.378, -1 in increasing order. -170.3, -1, -0.378, 0.07 Sort 1/276186, 0.3, 0.7, 0. 0, 1/276186, 0.3, 0.7 Sort 0, 55770, -3, 3 in ascending order. -3, 0, 3, 55770 Sort -13, -55, -3, -10.5, 0.34. -55, -13, -10.5, -3, 0.34 Sort -10, 5, -2, -1788, 2, -3, 18. -1788, -10, -3, -2, 2, 5, 18 Sort 1, -1817, -95, 5, -5 in decreasing order. 5, 1, -5, -95, -1817 Sort 5, -3, 2/5, 3, -14, -42, -4 in descending order. 5, 3, 2/5, -3, -4, -14, -42 Sort -5, 5, 2, 7361, 1, -1, -140 in decreasing order. 7361, 5, 2, 1, -1, -5, -140 Sort 1942, 6, -2, -5, 360, 2 in ascending order. -5, -2, 2, 6, 360, 1942 Sort 1, 4, -171/7, 0.2, -0.5. -171/7, -0.5, 0.2, 1, 4 Put 50, 2671, -722 in ascending order. -722, 50, 2671 Sort 1, -2, 814, -29/10 in decreasing order. 814, 1, -2, -29/10 Sort -23, 4, -20, -13, 3, -1, -5 in decreasing order. 4, 3, -1, -5, -13, -20, -23 Sort -4, -636, 3, -9265 in decreasing order. 3, -4, -636, -9265 Sort 2/13, 33336, 5, -0.1. -0.1, 2/13, 5, 33336 Sort -0.3, 2/77, 4, -2, 0.958, -5. -5, -2, -0.3, 2/77, 0.958, 4 Sort 1, -29, -26, -2, -60 in increasing order. -60, -29, -26, -2, 1 Put -295, 150, 1/185, 1, -0.2, -5 in ascending order. -295, -5, -0.2, 1/185, 1, 150 Put -4, -13079, -49, -1 in descending order. -1, -4, -49, -13079 Sort -2879, 3, 524/107, -0.1 in descending order. 524/107, 3, -0.1, -2879 Sort 1, -0.2, 0.4039823. -0.2, 0.4039823, 1 Sort 3, 4, -1/3, 0, 1, 29, -14 in descending order. 29, 4, 3, 1, 0, -1/3, -14 Put -108, 3, -4182.5 in ascending order. -4182.5, -108, 3 Put 1, -5/17, -3, 2, 2/111, -1/6 in decreasing order. 2, 1, 2/111, -1/6, -5/17, -3 Sort -4, 73, 45.753 in descending order. 73, 45.753, -4 Sort 17410, -1, 69, -3 in ascending order. -3, -1, 69, 17410 Sort 20, -3, -5, -6, 8, -1 in increasing order. -6, -5, -3, -1, 8, 20 Sort -4/7, 1/8, 1302, -5646. -5646, -4/7, 1/8, 1302 Sort -567, -9, -2, -7, -4 in decreasing order. -2, -4, -7, -9, -567 Put 4, -1994450, -1 in decreasing order. 4, -1, -1994450 Put 63, 2, -19, -901 in decreasing order. 63, 2, -19, -901 Sort 3, 4, 3763392. 3, 4, 3763392 Sort -5, -32122, 5 in decreasing order. 5, -5, -32122 Sort -2.5, 0.01, 0.286, -2/3, 10 in ascending order. -2.5, -2/3, 0.01, 0.286, 10 Put -1, -141977, 5, 10 in descending order. 10, 5, -1, -141977 Put -1358, -1, -4348, -3 in descending order. -1, -3, -1358, -4348 Sort -4, 17359477, 2. -4, 2, 17359477 Put -5, -28, 4, 1, -104, -2 in ascending order. -104, -28, -5, -2, 1, 4 Sort -0.3, -3, 10, 0.3, -4, 17, 113. -4, -3, -0.3, 0.3, 10, 17, 113 Sort -484, -23, 5, -2, 2, -11, -5 in decreasing order. 5, 2, -2, -5, -11, -23, -484 Sort -117, 12/3839, 0.2. -117, 12/3839, 0.2 Put -9, -1, -5, -77, -714 in descending order. -1, -5, -9, -77, -714 Sort -3, 5/4, 5, -1/2, 68469. -3, -1/2, 5/4, 5, 68469 Sort -15, 100, 361 in descending order. 361, 100, -15 Put 4, 196, 0, 22, 2, -3 in ascending order. -3, 0, 2, 4, 22, 196 Sort 314, 0, -979 in increasing order. -979, 0, 314 Put 10, 23953, -5, 3, -1 in increasing order. -5, -1, 3, 10, 23953 Sort -56.76715, -4, 1/3 in decreasing order. 1/3, -4, -56.76715 Sort 2/21, -14, 5, 0, 6537, -3/5 in increasing order. -14, -3/5, 0, 2/21, 5, 6537 Put -46, -262/5, 244 in increasing order. -262/5, -46, 244 Sort -4/3, 1064, -0.08, 5, -2, -5. -5, -2, -4/3, -0.08, 5, 1064 Sort 1, 24345, 0.3 in descending order. 24345, 1, 0.3 Sort -2, 2/33, 19, -15.9, -1/4, 2/7 in ascending order. -15.9, -2, -1/4, 2/33, 2/7, 19 Put 0.3, -14/5, -0.05623, -4/151 in increasing order. -14/5, -0.05623, -4/151, 0.3 Sort 4/7, -1200, 1.13 in decreasing order. 1.13, 4/7, -1200 Sort 0, 40463, -457 in increasing order. -457, 0, 40463 Sort -214/3, 1.0536, -9 in increasing order. -214/3, -9, 1.0536 Sort -39, -75, -1075 in descending order. -39, -75, -1075 Sort -20189, 0.05, 3/47 in ascending order. -20189, 0.05, 3/47 Sort 3, -261, -1, 590, -3 in decreasing order. 590, 3, -1, -3, -261 Sort 1, 35, -4, -1099859 in descending order. 35, 1, -4, -1099859 Sort 5, -29, 0, 10, -2, 27, -1 in decreasing order. 27, 10, 5, 0, -1, -2, -29 Sort 0.4, 14/9, -1981505 in descending order. 14/9, 0.4, -1981505 Sort -8, 0, 0.219382. -8, 0, 0.219382 Sort -141, -23, 2211. -141, -23, 2211 Sort 12363474, -2, -5 in increasing order. -5, -2, 12363474 Sort 1, 3, 8, 0, -984 in decreasing order. 8, 3, 1, 0, -984 Sort -52, -4, -41, -71, -2 in decreasing order. -2, -4, -41, -52, -71 Sort 95, 2147, -344 in ascending order. -344, 95, 2147 Sort -4, 96, -1, -5, 87, 8, 2 in decreasing order. 96, 87, 8, 2, -1, -4, -5 Sort 4, 1, 70793, -7, 10, -1 in descending order. 70793, 10, 4, 1, -1, -7 Sort 8, 1796, 1628 in descending order. 1796, 1628, 8 Sort 2, -1, 0, -2611, 4, -17, -6 in decreasing order. 4, 2, 0, -1, -6, -17, -2611 Sort 46, -1098, -632. -1098, -632, 46 Sort -3, 22, -2, -13, 14, -19 in decreasing order. 22, 14, -2, -3, -13, -19 Sort -26/809, 4, 1/6, 1/7, -8, 3. -8, -26/809, 1/7, 1/6, 3, 4 Sort 51, 1, -21, 4, -223 in ascending order. -223, -21, 1, 4, 51 Put 2, 98, 0, -20, -3, -4 in descending order. 98, 2, 0, -3, -4, -20 Put 40, -2, 10465, -3, 0 in descending order. 10465, 40, 0, -2, -3 Put -130, 5.1, 0.6, -0.5, -1 in increasing order. -130, -1, -0.5, 0.6, 5.1 Sort 38, 4, -5, 1/10, -2/3, -4, 1/3 in decreasing order. 38, 4, 1/3, 1/10, -2/3, -4, -5 Put -47, 2, -30, 81 in ascending order. -47, -30, 2, 81 Sort -349.6, 2/5, -2117 in increasing order. -2117, -349.6, 2/5 Put -5, -767128, -3 in descending order. -3, -5, -767128 Put -3, -2, 127, -4, -33, -16, 4 in increasing order. -33, -16, -4, -3, -2, 4, 127 Sort 88374, 7, 2/9 in ascending order. 2/9, 7, 88374 Sort 744, -3, 3133, 4 in decreasing order. 3133, 744, 4, -3 Put -12, -4, 5, 0, -7, -1, -5 in descending order. 5, 0, -1, -4, -5, -7, -12 Sort 1, -354, -14/25, 207 in decreasing order. 207, 1, -14/25, -354 Put 1, -0.3, 0, -286, 2, -1/11 in decreasing order. 2, 1, 0, -1/11, -0.3, -286 Put 3, 3/5, -19, -5, 0.5, 22, -147 in ascending order. -147, -19, -5, 0.5, 3/5, 3, 22 Sort 19, -22/17, 13.2 in decreasing order. 19, 13.2, -22/17 Sort -1409, -22, 2, -1, 168 in decreasing order. 168, 2, -1, -22, -1409 Put -5, -3723, -3214 in increasing order. -3723, -3214, -5 Sort -2427, 0, 3698, -4, 3, 5 in descending order. 3698, 5, 3, 0, -4, -2427 Sort 4, 5, -5169, -12411 in descending order. 5, 4, -5169, -12411 Put -6.8, -1/9, -13736/271 in ascending order. -13736/271, -6.8, -1/9 Sort -62, -2, 5, -3, -4935, -4 in descending order. 5, -2, -3, -4, -62, -4935 Sort 2/11, -259, -5, 5 in increasing order. -259, -5, 2/11, 5 Put 27000, 3, -64, 1, 0 in descending order. 27000, 3, 1, 0, -64 Sort 1.3, 0.1, 1, 11279, 0.3 in decreasing order. 11279, 1.3, 1, 0.3, 0.1 Sort -1.9, -29, 44819 in descending order. 44819, -1.9, -29 Sort -4769, -3, 0, -2, -1, 7 in increasing order. -4769, -3, -2, -1, 0, 7 Sort -6, 12745, -4, -3, 3, -82 in increasing order. -82, -6, -4, -3, 3, 12745 Sort -3, -5, -1/2, -0.1, 0.4, 4.6. -5, -3, -1/2, -0.1, 0.4, 4.6 Put 3396336, 0, 2 in descending order. 3396336, 2, 0 Put 3/26, -3/4, -0.104, -12 in increasing order. -12, -3/4, -0.104, 3/26 Put 0.2, -16, -1/72219 in ascending order. -16, -1/72219, 0.2 Sort -2/5, 5/4, 51, -9560, 5 in ascending order. -9560, -2/5, 5/4, 5, 51 Sort 3, 37, 5, -1, -739, -0.08. -739, -1, -0.08, 3, 5, 37 Sort -1, 19, 531, 4, 3, 9. -1, 3, 4, 9, 19, 531 Sort 0.33, 28, 3, 0.08, 0.3 in increasing order. 0.08, 0.3, 0.33, 3, 28 Put 3, 13, -1979, 277 in descending order. 277, 13, 3, -1979 Put -16/9, -2, 3, -2/31, -505 in increasing order. -505, -2, -16/9, -2/31, 3 Put -175, -0.5, 6, 3/2, 43 in increasing order. -175, -0.5, 3/2, 6, 43 Sort -0.5, -2/19, -4, -925949, 0.1 in increasing order. -925949, -4, -0.5, -2/19, 0.1 Put -18, 5, 82, 225 in decreasing order. 225, 82, 5, -18 Sort 13, -0.04, 1/5, 41, -4, -53, 4 in ascending order. -53, -4, -0.04, 1/5, 4, 13, 41 Put 465146, 2.5, -1/3, -7 in decreasing order. 465146, 2.5, -1/3, -7 Sort -373, -49, 89, -5 in decreasing order. 89, -5, -49, -373 Sort 0, 1, -1, -2, 15, -13, -7. -13, -7, -2, -1, 0, 1, 15 Sort -1, -89371, 3388. -89371, -1, 3388 Sort 0.03, 58629, 1/4, -4, 0.2, -5 in
{ "pile_set_name": "DM Mathematics" }
, 191782, 255470, 319148, 382816, 446474? -5*b**2 + 63723*b + 658 What is the u'th term of 6554, 26540, 59842, 106454, 166370, 239584? -u**3 + 6664*u**2 + u - 110 What is the b'th term of -2599, 3348, 13255, 27116, 44925? -b**3 + 1986*b**2 - 4*b - 4580 What is the i'th term of -431, -3386, -11389, -26954, -52595, -90826, -144161? -419*i**3 - 10*i**2 + 8*i - 10 What is the h'th term of 2519, 5082, 7645, 10208? 2563*h - 44 What is the y'th term of 6024, 5746, 5472, 5202, 4936, 4674? 2*y**2 - 284*y + 6306 What is the m'th term of 157165, 314419, 471673? 157254*m - 89 What is the b'th term of 68, 376, 872, 1520, 2284? -6*b**3 + 130*b**2 - 40*b - 16 What is the r'th term of -99932, -99983, -100034, -100085, -100136, -100187? -51*r - 99881 What is the x'th term of -98960, -197990, -297020, -396050? -99030*x + 70 What is the v'th term of -1060, -5544, -17034, -39034, -75048, -128580, -203134, -302214? -584*v**3 + v**2 - 399*v - 78 What is the l'th term of 118444, 236874, 355292, 473698, 592092? -6*l**2 + 118448*l + 2 What is the j'th term of -974365, -1948605, -2922837, -3897055, -4871253, -5845425, -6819565? j**3 - 2*j**2 - 974241*j - 123 What is the o'th term of -260522, -521112, -781768, -1042484, -1303254? o**3 - 39*o**2 - 260480*o - 4 What is the g'th term of -91783, -183677, -275571, -367465, -459359? -91894*g + 111 What is the s'th term of -155092, -155143, -155280, -155545, -155980, -156627, -157528, -158725? -7*s**3 - s**2 + s - 155085 What is the d'th term of 153268, 153623, 153990, 154375, 154784? d**3 + 348*d + 152919 What is the d'th term of 134046, 134079, 134100, 134103, 134082, 134031, 133944, 133815? -d**3 + 40*d + 134007 What is the d'th term of -197470, -197480, -197512, -197578, -197690, -197860? -2*d**3 + d**2 + d - 197470 What is the l'th term of -412635, -413054, -413473? -419*l - 412216 What is the u'th term of 2563, 4912, 7301, 9730, 12199, 14708, 17257? 20*u**2 + 2289*u + 254 What is the w'th term of 2081, 201, -4871, -14731, -30975? -266*w**3 - 18*w + 2365 What is the p'th term of -1429253, -2858520, -4287787? -1429267*p + 14 What is the u'th term of -29794026, -29794027, -29794028? -u - 29794025 What is the t'th term of 6041, 10954, 15867, 20780, 25693, 30606? 4913*t + 1128 What is the w'th term of -41077, -328463, -1108439, -2627299, -5131337, -8866847? -41049*w**3 - w**2 - 40*w + 13 What is the g'th term of -180367, -360644, -540917, -721186, -901451? 2*g**2 - 180283*g - 86 What is the i'th term of 3013, 6042, 9059, 12064? -6*i**2 + 3047*i - 28 What is the y'th term of 31504, 63499, 95494, 127489? 31995*y - 491 What is the g'th term of 64362, 131681, 201972, 275241, 351494? g**3 + 1480*g**2 + 62872*g + 9 What is the d'th term of 26093, 25941, 25687, 25331, 24873, 24313, 23651? -51*d**2 + d + 26143 What is the u'th term of -34218, -34335, -34542, -34845, -35250, -35763, -36390? -u**3 - 39*u**2 + 7*u - 34185 What is the u'th term of -15002, -27234, -39464, -51692, -63918? u**2 - 12235*u - 2768 What is the y'th term of -1005307, -2011352, -3017397, -4023442? -1006045*y + 738 What is the r'th term of 3166, 6804, 10334, 13702, 16854, 19736, 22294, 24474? -9*r**3 + 3701*r - 526 What is the z'th term of 46217, 373842, 1264291, 2998976, 5859309, 10126702? 46902*z**3 - 689*z + 4 What is the d'th term of 12675, 50525, 113607, 201921, 315467, 454245? 12616*d**2 + 2*d + 57 What is the y'th term of -238247, -238218, -238189? 29*y - 238276 What is the p'th term of -375, -1093, -2301, -4011, -6235, -8985? -2*p**3 - 233*p**2 - 5*p - 135 What is the x'th term of -32121, -29903, -23875, -12129, 7243, 36149, 76497? 318*x**3 - 3*x**2 + x - 32437 What is the q'th term of -10695, -39933, -88675, -156921, -244671, -351925, -478683? -9752*q**2 + 18*q - 961 What is the o'th term of 22314, 178349, 601728, 1426077, 2785022, 4812189, 7641204? 22271*o**3 + 46*o**2 - 3 What is the x'th term of 7129, 14944, 22759, 30574, 38389, 46204? 7815*x - 686 What is the k'th term of 37332600, 37332594, 37332584, 37332570? -2*k**2 + 37332602 What is the c'th term of 66744552, 66744551, 66744550, 66744549, 66744548? -c + 66744553 What is the c'th term of 8939, 34820, 77631, 137372, 214043, 307644, 418175? 8465*c**2 + 486*c - 12 What is the m'th term of -20559, -82127, -184755, -328455, -513239, -739119? -2*m**3 - 20518*m**2 - 39 What is the n'th term of 4233595, 8467209, 12700823, 16934437, 21168051? 4233614*n - 19 What is the q'th term of -261482310, -522964621, -784446932, -1045929243? -261482311*q + 1 What is the v'th term of 49661, 49674, 49697, 49730, 49773, 49826? 5*v**2 - 2*v + 49658 What is the c'th term of 7510174, 7510155, 7510112, 7510033, 7509906, 7509719, 7509460, 7509117? -2*c**3 - 5*c + 7510181 What is the h'th term of -175342, -701431, -1578254, -2805811, -4384102, -6313127, -8592886? -175367*h**2 + 12*h + 13 What is the m'th term of 1778621, 1778627, 1778635, 1778645? m**2 + 3*m + 1778617 What is the p'th term of -26750, -26828, -26906, -26984? -78*p - 26672 What is the x'th term of -210274, -841090, -1892450, -3364354, -5256802? -210272*x**2 - 2 What is the h'th term of -270, -263, -238, -189, -110? h**3 + 3*h**2 - 9*h - 265 What is the x'th term of 18411, 59338, 100263, 141186, 182107? -x**2 + 40930*x - 22518 What is the b'th term of 560744, 1121502, 1682292, 2243126, 2804016, 3364974, 3926012, 4487142? 2*b**3 + 4*b**2 + 560732*b + 6 What is the q'th term of 6189, 21866, 47031, 81684? 4744*q**2 + 1445*q What is the j'th term of 2911, 2963, 3085, 3307, 3659, 4171, 4873, 5795? 5*j**3 + 5*j**2 + 2*j + 2899 What is the x'th term of -119190, -477323, -1074212, -1909857? -119378*x**2 + x + 187 What is the f'th term of -3433, -17545, -41071, -74017, -116389, -168193, -229435, -300121? -f**3 - 4701*f**2 - 2*f + 1271 What is the y'th term of 7770, 7785, 7802, 7821? y**2 + 12*y + 7757 What is the x'th term of 1052, 1840, 2526, 3104, 3568, 3912, 4130? -x**3 - 45*x**2 + 930*x + 168 What is the z'th term of 3282049, 3282050, 3282051, 3282052, 3282053, 3282054? z + 3282048 What is the k'th term of -3566, -3404, -3142, -2780, -2318, -1756? 50*k**2 + 12*k - 3628 What is the u'th term of 1543, 1075, 597, 103, -413, -957, -1535, -2153? -u**3 + u**2 - 464*u + 2007 What is the y'th term of -1028, -3139, -6654, -11579, -17920, -25683, -34874, -45499? -y**3 - 696*y**2 - 16*y - 315 What is the s'th term of 1922368, 1922359, 1922344, 1922323, 1922296, 1922263? -3*s**2 + 1922371 What is the o'th term of -49446, -49327, -49208? 119*o - 49565 What is the s'th term of 1402, 4125, 8672, 15049, 23262, 33317, 45220, 58977? s**3 + 906*s**2 - 2*s + 497 What is the x'th term of -41426, -41341, -41110, -40661, -39922, -38821? 12*x**3 + x**2 - 2*x - 41437 What is the h'th term of 1009, 4299, 9819, 17569, 27549? 1115*h**2 - 55*h - 51 What is the u'th term of 126090, 252041, 377992, 503943, 629894? 125951*u + 139 What is the z'th term of -68333, -271659, -610539, -1084973? -67777*z**2 + 5*z - 561 What is the v'th term of 895789, 1791576, 2687365, 3583156, 4478949? v**2 + 895784*v + 4 What is the a'th term of 626152, 626157, 626162, 626167, 626172, 626177? 5*a + 626147 What is the d'th term of 262, 1358, 4334, 10132, 19694? 157*d**3 - 2*d**2 + 3*d + 104 What is the n'th term of 17734, 35438, 53120, 70768, 88370, 105914, 123388, 140780? -2*n**3 + n**2 + 17715*n + 20 What is the i'th term of 313140, 626091, 938850, 1251417, 1563792, 1875975, 2187966? -96*i**2 + 313239*i - 3 What is the p'th term of 17285032, 34570065, 51855098, 69140131? 17285033*p - 1 What is the t'th term of 469126, 469147, 469180, 469231, 469306, 469411? t**3 + 14*t + 469111 What is the n'th term of 932400, 7459124, 25174526, 59672946, 116548724? 932390*n**3 - n**2 - 3*n + 14 What is the u'th term of 28940, 231612, 781748, 1853084, 3619356, 6254300, 9931652, 14825148? 28956*u**3 - 4*u**2 - 8*u - 4 What is the q'th term of -149232, -298461, -447690, -596919, -746148, -895377? -149229*q - 3 What is the a'th term of -6058, -14841, -23618, -32389, -41154? 3*a**2 - 8792*a + 2731 What is the d'th term of -2560007, -10240043, -23040103, -40960187, -64000295, -92160427? -2560012*d**2 + 5 What is the s'th term of 2897697, 2897704, 2897713, 2897724? s**2 + 4*s + 2897692 What is the o'th term of -18554, -75126, -169412, -
{ "pile_set_name": "DM Mathematics" }
are the prime factors of 74228? 2, 7, 11, 241 List the prime factors of 2334608. 2, 79, 1847 List the prime factors of 1833500. 2, 5, 19, 193 List the prime factors of 199620. 2, 3, 5, 1109 List the prime factors of 6889193. 6889193 What are the prime factors of 339394? 2, 11, 15427 What are the prime factors of 1759926? 2, 3, 7, 41903 What are the prime factors of 540976? 2, 33811 List the prime factors of 826280. 2, 5, 7, 13, 227 What are the prime factors of 8534009? 11, 70529 List the prime factors of 541103. 191, 2833 List the prime factors of 14369956. 2, 83, 43283 What are the prime factors of 393108? 2, 3, 17, 41, 47 What are the prime factors of 279357? 3, 13, 19, 29 What are the prime factors of 292175? 5, 13, 29, 31 List the prime factors of 11710215. 3, 5, 11, 41, 577 What are the prime factors of 61708? 2, 15427 What are the prime factors of 7471237? 19, 67, 5869 What are the prime factors of 338093? 7, 48299 List the prime factors of 3565812. 2, 3, 297151 What are the prime factors of 173239? 11, 15749 List the prime factors of 199253. 19, 10487 What are the prime factors of 9258158? 2, 7, 13, 43 What are the prime factors of 699326? 2, 349663 What are the prime factors of 1428079? 1428079 List the prime factors of 16183667. 643, 25169 What are the prime factors of 1903640? 2, 5, 47591 What are the prime factors of 1056232? 2, 31, 4259 List the prime factors of 7000866. 2, 3, 388937 What are the prime factors of 90028? 2, 71, 317 List the prime factors of 661113. 3, 17, 29, 149 What are the prime factors of 252536? 2, 31567 List the prime factors of 995300. 2, 5, 37, 269 What are the prime factors of 348275? 5, 13931 What are the prime factors of 889420? 2, 5, 7, 6353 What are the prime factors of 19369188? 2, 3, 17, 31649 List the prime factors of 3512153. 113, 31081 List the prime factors of 1043406. 2, 3, 7, 13 What are the prime factors of 8868029? 127, 69827 What are the prime factors of 229235? 5, 19, 127 List the prime factors of 1953818. 2, 976909 List the prime factors of 4362979. 457, 9547 What are the prime factors of 787041? 3, 157, 557 List the prime factors of 10486688. 2, 17, 37, 521 What are the prime factors of 1809941? 7, 258563 What are the prime factors of 1907674? 2, 311, 3067 What are the prime factors of 141326? 2, 70663 What are the prime factors of 1421447? 19, 79, 947 List the prime factors of 185171. 7, 3779 List the prime factors of 102764. 2, 23, 1117 List the prime factors of 361028. 2, 43, 2099 What are the prime factors of 4215401? 4215401 What are the prime factors of 6405931? 7, 587, 1559 What are the prime factors of 24094246? 2, 11, 99563 What are the prime factors of 92414? 2, 7, 23, 41 What are the prime factors of 2505243? 3, 13, 64237 What are the prime factors of 6419596? 2, 127, 12637 What are the prime factors of 5488402? 2, 463, 5927 List the prime factors of 224803. 41, 5483 What are the prime factors of 166896? 2, 3, 19, 61 What are the prime factors of 1538398? 2, 17, 45247 List the prime factors of 403706. 2, 71, 2843 List the prime factors of 511141. 43, 11887 What are the prime factors of 7332247? 13, 283, 1993 List the prime factors of 3283201. 67, 49003 What are the prime factors of 5118070? 2, 5, 103, 4969 What are the prime factors of 1449195? 3, 5, 11, 8783 List the prime factors of 1178291. 593, 1987 What are the prime factors of 8122498? 2, 17, 238897 What are the prime factors of 8564037? 3, 281, 10159 List the prime factors of 27381443. 37, 53, 13963 What are the prime factors of 7716568? 2, 964571 What are the prime factors of 724031? 7, 11, 9403 What are the prime factors of 11609784? 2, 3, 59, 911 List the prime factors of 423133. 423133 List the prime factors of 858911. 858911 What are the prime factors of 51346? 2, 25673 What are the prime factors of 465193? 647, 719 List the prime factors of 78686. 2, 39343 List the prime factors of 7161910. 2, 5, 7, 101, 1013 List the prime factors of 492948. 2, 3, 13693 List the prime factors of 262337. 262337 What are the prime factors of 3424028? 2, 19, 45053 List the prime factors of 301478. 2, 17, 8867 What are the prime factors of 23526757? 23526757 What are the prime factors of 569639? 7, 19, 4283 What are the prime factors of 8602882? 2, 311, 13831 What are the prime factors of 843384? 2, 3, 35141 List the prime factors of 129950. 2, 5, 23, 113 What are the prime factors of 349934? 2, 13, 43, 313 List the prime factors of 39747. 3, 13249 List the prime factors of 58302. 2, 3, 41, 79 What are the prime factors of 23568? 2, 3, 491 What are the prime factors of 24457827? 3, 8152609 What are the prime factors of 37151274? 2, 3, 227, 27277 What are the prime factors of 26980? 2, 5, 19, 71 What are the prime factors of 18383466? 2, 3, 163, 18797 What are the prime factors of 332380? 2, 5, 16619 What are the prime factors of 2628292? 2, 73, 9001 What are the prime factors of 5862760? 2, 5, 103, 1423 List the prime factors of 394905. 3, 5, 7, 3761 List the prime factors of 7318217. 647, 11311 List the prime factors of 244332. 2, 3, 11, 617 What are the prime factors of 19221132? 2, 3, 7, 97, 337 What are the prime factors of 750138? 2, 3, 31, 37, 109 What are the prime factors of 466281? 3, 103, 503 What are the prime factors of 1842428? 2, 7, 29, 2269 List the prime factors of 4812280. 2, 5, 11, 10937 List the prime factors of 6008037. 3, 7, 23, 1777 List the prime factors of 682057. 17, 53, 757 What are the prime factors of 12518028? 2, 3, 89, 3907 List the prime factors of 327475. 5, 13099 What are the prime factors of 1974306? 2, 3, 281, 1171 What are the prime factors of 1147973? 83, 13831 List the prime factors of 333828. 2, 3, 11, 281 List the prime factors of 173200. 2, 5, 433 What are the prime factors of 45461? 13, 269 List the prime factors of 7417555. 5, 233, 6367 List the prime factors of 84829. 41, 2069 What are the prime factors of 119605? 5, 19, 1259 List the prime factors of 9737585. 5, 11, 13, 13619 What are the prime factors of 9824119? 9824119 What are the prime factors of 891591? 3, 31, 9587 What are the prime factors of 127284? 2, 3, 10607 What are the prime factors of 5142772? 2, 17, 75629 What are the prime factors of 221456? 2, 13841 What are the prime factors of 67198? 2, 33599 What are the prime factors of 986976? 2, 3, 23, 149 List the prime factors of 8192756. 2, 11, 13, 14323 List the prime factors of 2570. 2, 5, 257 List the prime factors of 4536973. 7, 43, 15073 List the prime factors of 383283. 3, 37, 1151 List the prime factors of 1838945. 5, 367789 List the prime factors of 2518254. 2, 3, 31, 4513 What are the prime factors of 11716095? 3, 5, 79, 9887 What are the prime factors of 425984? 2, 13 What are the prime factors of 11621517? 3, 3873839 What are the prime factors of 200234? 2, 53, 1889 What are the prime factors of 13852888? 2, 7, 35339 What are the prime factors of 993385? 5, 61, 3257 What are the prime factors of 443034? 2, 3, 151, 163 List the prime factors of 579490. 2, 5, 167, 347 List the prime factors of 4593888. 2, 3, 13, 409 What are the prime factors of 20421? 3, 2269 What are the prime factors of 1921806? 2, 3, 11863 What are the prime factors of 317396? 2, 79349 What are the prime factors of 79551? 3, 8839 List the prime factors of 1406002. 2, 13, 17, 3181 List the prime factors of 301567. 7, 67, 643 What are the prime factors of 5265516? 2, 3, 438793 What are the prime factors of 11940? 2, 3, 5, 199 List the prime factors of 390139. 43, 211 List the prime factors of 412296. 2, 3, 41, 419 List the prime factors of 531275. 5, 79, 269 What are the prime factors of 103619? 103619 List the prime factors of 19698004. 2, 4924501 List the prime factors of 3887998. 2, 367, 5297 What are the prime factors of 166230? 2, 3, 5, 1847 List the prime factors of 195017. 23, 61, 139 What are the prime factors of 7167266? 2, 3583633 List the prime factors of 162071. 7, 13, 137 What are the prime factors of 425087? 13, 19, 1721 What are the prime factors of 11286011? 11, 17, 60353 What are the prime factors of 8608537? 7, 71, 17321 What are the prime factors of 20581116? 2, 3, 223, 7691 List the prime factors of 2970065. 5, 7, 84859 What are the prime factors of 49258? 2, 11, 2239 What are
{ "pile_set_name": "DM Mathematics" }
.954 Multiply 189.06 and 11.371. 2149.80126 Multiply -2 and -46202142. 92404284 Calculate 358961*-37. -13281557 7 times 5771653 40401571 What is the product of 0.3 and -18490537? -5547161.1 Multiply 48 and 922294. 44270112 What is the product of 89366 and -305? -27256630 Multiply 3 and -1460721.7. -4382165.1 What is -0.2 times 20618975? -4123795 140274*-24 -3366576 -0.08172 * -7171 586.01412 What is -677116 times -12.8? 8667084.8 -86191576 times 0.2 -17238315.2 What is 0.5 times 1686049? 843024.5 Product of -3 and -1172211. 3516633 What is -3189 times -2.243? 7152.927 1.054*3982 4197.028 Work out 17.78 * 3092. 54975.76 672 * 3244 2179968 What is the product of -0.062657 and -195.7? 12.2619749 -4.40718 * 0.6 -2.644308 What is 2.086 times 105.2? 219.4472 -7 * 67831073 -474817511 Product of 0.1 and 626211. 62621.1 Product of -201.7 and -1.079. 217.6343 5844109 times 5 29220545 Multiply 0.0472 and -0.07271. -0.003431912 What is the product of -1 and 10660.759? -10660.759 What is the product of 0.048 and 53.667? 2.576016 What is the product of 1497582 and 1.5? 2246373 241 times 11800 2843800 -1156040597 * 0.2 -231208119.4 0.071054034 * 3 0.213162102 What is the product of -2835035 and 3? -8505105 14.1 * -131.576 -1855.2216 What is -15907 times -9319? 148237333 Work out 830215 * -1. -830215 -0.9*107.265 -96.5385 What is the product of 90988 and 51? 4640388 244.0523 times 11 2684.5753 84.19*3.891 327.58329 What is the product of 76511 and -9? -688599 What is 0.3 times -1227560? -368268 What is -2.6 times 15682.71? -40775.046 Work out 1.257 * 6384. 8024.688 Calculate -0.2*-164343877. 32868775.4 0.241 times 2.3249 0.5603009 -197249*-0.0981 19350.1269 8.2371 times -0.11949 -0.984251079 -0.019651496 * 0.6 -0.0117908976 Multiply -43635924 and 0.2. -8727184.8 44477*-0.585 -26019.045 4.83574 times -6.1 -29.498014 Multiply -0.3 and 1279.209. -383.7627 Work out 704.9 * 230.6. 162549.94 Work out 3 * -2372326. -7116978 What is -37331438 times 6? -223988628 Work out -314.14041 * 0. 0 Product of 6.82398 and 11. 75.06378 Product of -610750 and -3.2. 1954400 Multiply -0.077224677 and 3. -0.231674031 Calculate 28.1*-615468. -17294650.8 Product of 0.835996 and 0.09. 0.07523964 3771708 times 0 0 -5045 times -3.5 17657.5 -0.026 * -1254409 32614.634 187 * -2184558 -408512346 What is 0.07008 times 0.04378? 0.0030681024 147 * -738.88 -108615.36 619686 times -2.21 -1369506.06 Calculate -7*-4436366. 31054562 0.0366 * 3498.04 128.028264 -0.4 * -1166593.5 466637.4 Calculate 4*423498961. 1693995844 0.1 * -486079 -48607.9 -514256*-0.8 411404.8 -54.082 times 200 -10816.4 13.4561 * 0.12 1.614732 What is -123 times 189186.3? -23269914.9 0.06*-3567.877 -214.07262 Calculate -26*-0.08493965. 2.2084309 0.5 * 46.707046 23.353523 Work out -21 * -111285298. 2336991258 6826.4*3261 22260890.4 -16.4 times 181241 -2972352.4 Work out 1 * 46129261. 46129261 0.0216 times 8988 194.1408 414978.58 * -0.4 -165991.432 Work out -0.01072 * 6056. -64.92032 Multiply -0.09 and 0.158336. -0.01425024 Calculate -5*-1485.71842. 7428.5921 -1*7272236 -7272236 Work out -260751 * 0.3183. -82997.0433 What is -0.3923202 times -23? 9.0233646 9561835*-2 -19123670 What is 0.4375 times -336.4? -147.175 -0.55819*73 -40.74787 -0.087*-55.3935 4.8192345 What is -290662 times -0.15? 43599.3 Product of -91.37 and -15.989. 1460.91493 Calculate 2.94*0.768048. 2.25806112 Calculate -7678.042*0.1. -767.8042 Work out -0.098 * -220456. 21604.688 -20860 times 339 -7071540 What is the product of -0.08 and -186420515? 14913641.2 -150 times -199367 29905050 0.07*1.431606 0.10021242 Calculate 4.5*615822. 2771199 What is the product of -14 and 364462.01? -5102468.14 13090*0.00768 100.5312 -0.1461795 times 0.2 -0.0292359 Work out -148 * 3378314. -499990472 Work out 6791 * -84.38. -573024.58 5 times 1817.8092 9089.046 Work out 9.92 * -58910. -584387.2 What is 426402025 times 0.4? 170560810 Calculate -512*-0.592561. 303.391232 What is the product of 15993.33 and -0.046? -735.69318 -6737*-14 94318 2*-15162162 -30324324 -42072*-16.58 697553.76 Work out -19.69 * 19990. -393603.1 Calculate -0.71674*0.083. -0.05948942 What is the product of -0.095376 and -4.54? 0.43300704 Calculate 73975.9*-10. -739759 Calculate -1.9*129.02239. -245.142541 Calculate -2*13252.021. -26504.042 What is 27623 times 0.03? 828.69 What is the product of 2.22 and 31997? 71033.34 628.158 times 29 18216.582 0.3 times -590.40762 -177.122286 What is -34 times -63.4664? 2157.8576 Product of -10 and -1.436141. 14.36141 Calculate -19062021*-12. 228744252 Multiply 13238411 and 0.5. 6619205.5 Work out -0.1 * 48728936. -4872893.6 What is the product of -19570 and -0.08286? 1621.5702 Product of -0.1036678 and 24.3. -2.51912754 Product of 26420 and 3328. 87925760 What is -311383 times 0.16? -49821.28 What is the product of -0.2 and 47595284? -9519056.8 4.94 times 0.3119 1.540786 Multiply -52 and -565837. 29423524 Product of 8.97 and 0.05349. 0.4798053 0.0562 times -654.102 -36.7605324 3143 times 13923 43759989 Multiply -0.6069 and -35. 21.2415 Calculate -107*35182. -3764474 -593.675 times -0.03 17.81025 Calculate 420*-101971. -42827820 What is -40825.088 times 1? -40825.088 -62 * 0.0081824 -0.5073088 3053599 times 0.2 610719.8 Product of 2381 and 8272. 19695632 What is the product of -4 and -13495767? 53983068 -10 times 101992 -1019920 Product of 0.5 and 13226371. 6613185.5 Calculate 43*62.45. 2685.35 What is the product of 0.4 and 29827.8? 11931.12 6536557*0.01 65365.57 What is -2585 times 84? -217140 0.1*57.0092 5.70092 -207*-50.9497 10546.5879 Work out -28938 * 79. -2286102 Calculate 1141.98*-44.1. -50361.318 Work out -129.4303 * -2. 258.8606 What is 179 times -8483.6? -1518564.4 Product of 0.2 and 43025290. 8605058 Work out -0.4 * 12105.576. -4842.2304 Multiply 1.461 and 3.49. 5.09889 122.38 times 5937.7 726655.726 Work out -0.7877 * -0.02697. 0.021244269 What is 30705 times -39? -1197495 4001.7 * -0.038 -152.0646 Product of 85485.5 and 5. 427427.5 1934656 times -12 -23215872 Calculate 31252297*-0.2. -6250459.4 What is the product of 7 and -2617.738? -18324.166 0.01 times -363494 -3634.94 What is the product of 18 and -16.93654? -304.85772 -0.1 times -20852197 2085219.7 Multiply 2 and -0.31815744. -0.63631488 Product of 13894250 and 1. 13894250 3.02 times -0.13694 -0.4135588 -0.89 times -0.116269 0.10347941 1259 * 5364.4 6753779.6 What is 26934694 times 1.8? 48482449.2 -0.23425566*0.5 -0.11712783 What is the product of -1526 and -15017? 22915942 Calculate -178010*605. -107696050 Multiply -32953 and -0.03655. 1204.43215 What is 2 times -4896.676? -9793.352 What is the product of -1 and -5156392? 5156392 -388 * -27912 10829856 What is -2803464.1 times -0.3? 841039.23 -6259*300 -1877700 What is 757.74 times -315? -238688.1 106950 times 14.2 1518690 -0.09*213087.49 -19177.8741 Work out 15317 * 0.0267. 408.9639 Multiply -27950879 and -5. 139754395 What is the product of -9059219 and 3? -27177657 178142758 times 0.3 53442827.4 What is 395.3 times -4133? -1633774.9 What is -0.4 times -198401677? 79360670.8 70 * -10949 -766430 Work out 3066942 * -3. -9200826 What is 0.98 times -3.09775? -3.035795 Product of -0.8155 and 17759. -14482.4645 Work out -1.5 * 0.04200092. -0.06300138 What is the product of -441347.04 and -2? 882694.08 What is the product of 30.3 and -0.0556586? -1.68645558 Multiply -141282403 and 0.01. -1412824.03 What is the product of -0.09681097 and 1? -0.09681097 Work out 12671826 * -8. -101374608 Calculate 6741*65. 438165 -255.1435 * -1 255.1435 Calculate 0.058217*-9. -0.523953 -1423344 times -13 18503472 Product of -490277.3 and -104. 50988839.2 Calculate -141809*-0.12. 17017.08 What is 1.4612427 times 0.4? 0.58449708 Product of 0 and 70386719. 0 0.19 times 409325 77771.75 What is 9831.559 times 0.031? 304.778329 178709*-80 -14296720 What is the product of -0.3232 and 0.15203? -0.049136096 What is -85.909 times 0.02? -1.71818 Calculate -0.5*-0.04475027. 0.022375135 Calculate -285177*-15.12. 4311876.24 6 times 966507 5799042 Work out -0.13 * -64869.9. 8433.087 -5308336 * 0.3 -1592500.8 Calculate -247.9*51.13. -12675.127 Calculate -4.424*0.861. -3.809064 What is the product of -83.6096 and 5? -418.048 What is the product of -0.08 and 2985029? -238802.32 59567718 * -7
{ "pile_set_name": "DM Mathematics" }
932s in weeks? 0.0202524625 What is 11/10 of a milligram in micrograms? 1100 Convert 0.5152394us to nanoseconds. 515.2394 How many millimeters are there in 15/4 of a meter? 3750 What is 2824.519ml in litres? 2.824519 Convert 427.082 microseconds to milliseconds. 0.427082 Convert 62.96677 micrometers to meters. 0.00006296677 What is 2/75 of a week in seconds? 16128 What is one quarter of a litre in millilitres? 250 How many millennia are there in 364.6128 centuries? 36.46128 What is 13/5 of a kilogram in grams? 2600 Convert 83229.4 millilitres to litres. 83.2294 What is five sixths of a minute in seconds? 50 What is three fifths of a micrometer in nanometers? 600 How many kilometers are there in 114455.7nm? 0.0000001144557 What is 50.41582 hours in milliseconds? 181496952 What is thirty-three fifths of a kilometer in meters? 6600 What is one quarter of a litre in millilitres? 250 How many microseconds are there in 0.9391986s? 939198.6 How many decades are there in 241.3881 centuries? 2413.881 What is five quarters of a century in years? 125 How many weeks are there in 1522.317321 seconds? 0.0025170590625 How many microseconds are there in 4806.449ms? 4806449 How many micrometers are there in 4111.186nm? 4.111186 Convert 823549.1l to millilitres. 823549100 What is 34.70106 millimeters in nanometers? 34701060 How many kilograms are there in six fifths of a tonne? 1200 Convert 124.409 years to millennia. 0.124409 What is 2/7 of a week in minutes? 2880 What is 42/5 of a centimeter in millimeters? 84 How many millimeters are there in thirteen fifths of a centimeter? 26 How many millilitres are there in 5/4 of a litre? 1250 How many millilitres are there in three fifths of a litre? 600 How many tonnes are there in 62911.74 nanograms? 0.00000000006291174 What is two fifteenths of a week in minutes? 1344 What is 1/5 of a litre in millilitres? 200 What is one twentieth of a gram in milligrams? 50 What is seven quarters of a milligram in micrograms? 1750 How many micrograms are there in 3/40 of a gram? 75000 How many millilitres are there in 3/10 of a litre? 300 Convert 22.39034s to nanoseconds. 22390340000 What is 0.398216um in kilometers? 0.000000000398216 How many hours are there in 3928.4676ms? 0.001091241 How many kilograms are there in 1/20 of a tonne? 50 What is 2/75 of a millennium in months? 320 What is 32/5 of a millimeter in micrometers? 6400 Convert 9.919735 decades to millennia. 0.09919735 What is eight thirds of a century in months? 3200 How many tonnes are there in 0.63675 grams? 0.00000063675 Convert 6.770041 years to decades. 0.6770041 How many litres are there in 0.1454283 millilitres? 0.0001454283 How many millilitres are there in 6/25 of a litre? 240 How many millimeters are there in 11/4 of a meter? 2750 How many kilometers are there in 0.1755128nm? 0.0000000000001755128 What is 59400.63 years in centuries? 594.0063 How many nanograms are there in thirteen quarters of a microgram? 3250 How many micrometers are there in 0.411425mm? 411.425 How many meters are there in 6/25 of a kilometer? 240 Convert 4.445955 micrometers to centimeters. 0.0004445955 How many meters are there in fourty-two fifths of a kilometer? 8400 What is one tenth of a hour in seconds? 360 Convert 19.11419 days to seconds. 1651466.016 How many decades are there in 38863.3 years? 3886.33 What is 4432.71 years in centuries? 44.3271 What is 0.934553l in millilitres? 934.553 What is three fifths of a millisecond in microseconds? 600 What is 1/6 of a hour in minutes? 10 What is 0.2048945 nanoseconds in milliseconds? 0.0000002048945 What is 7.395992 weeks in microseconds? 4473095961600 What is 51/2 of a millennium in centuries? 255 What is 49.16651km in nanometers? 49166510000000 What is 438.252 litres in millilitres? 438252 What is 3/25 of a minute in milliseconds? 7200 What is 1/10 of a meter in millimeters? 100 What is three fifths of a microgram in nanograms? 600 How many years are there in 41101.76 decades? 411017.6 Convert 391056.3 nanoseconds to hours. 0.00000010862675 How many kilograms are there in 663687.8ng? 0.0000006636878 How many months are there in 13.30762 decades? 1596.9144 How many microseconds are there in 26.92457 minutes? 1615474200 What is eleven eighths of a centimeter in micrometers? 13750 How many nanograms are there in fifty-nine quarters of a microgram? 14750 What is 0.9724844mm in centimeters? 0.09724844 What is seven quarters of a kilogram in grams? 1750 How many micrometers are there in fourty-four fifths of a millimeter? 8800 What is 2711.76kg in milligrams? 2711760000 How many minutes are there in 11170.836ns? 0.0000001861806 How many months are there in 6.148822 millennia? 73785.864 How many months are there in five quarters of a century? 1500 How many hours are there in 10/7 of a week? 240 How many centuries are there in 0.6659215 decades? 0.06659215 Convert 56816.52 millilitres to litres. 56.81652 Convert 571031.8 millennia to months. 6852381600 What is three fifths of a litre in millilitres? 600 What is 4.992328 millilitres in litres? 0.004992328 What is 3232.642 millilitres in litres? 3.232642 How many months are there in 3/5 of a millennium? 7200 What is 81160.92 grams in nanograms? 81160920000000 How many weeks are there in 16989.19677ms? 0.000028090603125 What is 56548.39ug in tonnes? 0.00000005654839 What is 2.095535 nanometers in meters? 0.000000002095535 How many kilograms are there in three tenths of a tonne? 300 What is 0.227841 milliseconds in seconds? 0.000227841 What is 6/25 of a micrometer in nanometers? 240 How many millilitres are there in 661026.3 litres? 661026300 How many micrograms are there in 21/2 of a milligram? 10500 What is 17/4 of a hour in minutes? 255 What is 1/4 of a hour in seconds? 900 How many nanograms are there in 3/8 of a microgram? 375 How many nanograms are there in 1/10 of a milligram? 100000 How many nanoseconds are there in one fifth of a microsecond? 200 How many months are there in four fifteenths of a decade? 32 How many millilitres are there in 6/5 of a litre? 1200 Convert 61293.64mg to tonnes. 0.00006129364 How many millilitres are there in twenty-one quarters of a litre? 5250 How many months are there in 5/4 of a century? 1500 What is 11/2 of a year in months? 66 How many micrometers are there in 29/5 of a millimeter? 5800 How many micrometers are there in 56.89235 kilometers? 56892350000 Convert 973.2143 days to hours. 23357.1432 Convert 7119.191 litres to millilitres. 7119191 How many meters are there in 36204.77 millimeters? 36.20477 How many grams are there in 88/5 of a kilogram? 17600 How many micrometers are there in 15/4 of a centimeter? 37500 How many millilitres are there in 11/2 of a litre? 5500 How many decades are there in 6128.267 centuries? 61282.67 How many grams are there in 31/5 of a kilogram? 6200 How many months are there in twenty-one eighths of a decade? 315 How many millilitres are there in sixty-one quarters of a litre? 15250 How many litres are there in 0.8283338ml? 0.0008283338 What is 0.6019361 tonnes in milligrams? 601936100 Convert 79912.19 millimeters to micrometers. 79912190 How many micrometers are there in six fifths of a millimeter? 1200 What is 5205.932 litres in millilitres? 5205932 What is one quarter of a micrometer in nanometers? 250 What is 3/32 of a meter in micrometers? 93750 How many years are there in 44/5 of a millennium? 8800 How many years are there in 21/2 of a decade? 105 What is 1/15 of a hour in seconds? 240 How many micrometers are there in 7/4 of a millimeter? 1750 What is three tenths of a day in seconds? 25920 What is 46.2140784 minutes in weeks? 0.00458473 How many months are there in twenty-eight thirds of a year? 112 How many litres are there in 6.555804 millilitres? 0.006555804 What is seventy-five halves of a centimeter in millimeters? 375 How many months are there in 1/5 of a century? 240 What is 7.812368 millennia in centuries? 78.12368 What is thirteen fifths of a century in decades? 26 Convert 36.885905 days to weeks. 5.269415 How many meters are there in 27/4 of a kilometer? 6750 Convert 3.756939ml to litres. 0.003756939 What is 1/27 of a week in seconds? 22400 What is seventy-five quarters of a gram in milligrams? 18750 Ho
{ "pile_set_name": "DM Mathematics" }
ve t. -12 Express -203*o**2 + 243*o**2 - 198*o**2 in the form z*o + q*o**2 + a and give q. -158 Express (-2*a + 2*a + 2*a)*(-24*a**2 - 16*a**2 - 9*a**2) + 5*a**3 - 2 - 2*a**2 - 6*a**3 - 2*a + 0*a**3 in the form z*a + l*a**2 + k + h*a**3 and give z. -2 Rearrange ((0*t - 2*t + t)*(2 + 3 - 4) - 27 - 5*t + 27)*(17*t - 9*t + 63*t) to the form m + q*t**2 + x*t and give q. -426 Express 2*s**4 + 0*s - 4*s**3 + 23*s**3 + 1 + 0*s - s**2 - 4*s**3 as r*s**3 + o + y*s**4 + w*s**2 + g*s and give y. 2 Rearrange -2*o - 25 + 3*o**2 - 77*o**3 + 51*o**3 - 2*o**2 + 28*o**3 to the form a*o**2 + x + l*o + u*o**3 and give u. 2 Rearrange -263*j - 168 + 52 + 56 + 60 to t*j + a and give t. -263 Express 3*m + 29*m**4 + 7432*m**3 - 7432*m**3 - 3*m**2 in the form x*m**4 + a + d*m**3 + f*m + o*m**2 and give f. 3 Express -p**3 + 2 + 10139*p - 10285*p + 2*p**2 - 1 as s*p**3 + f + o*p**2 + g*p and give g. -146 Rearrange -30 - 2*h + h + 3*h to the form v*h + p and give v. 2 Rearrange 2*s**2 - s**2 + 0*s**3 - 281*s**4 - 2*s**3 + 588*s**4 - 295*s**4 + 1 to the form i + k*s**2 + n*s + w*s**4 + x*s**3 and give w. 12 Express 3 - 16*x**2 + 18*x**2 + x**3 + 25*x - 26*x as r*x**3 + u*x**2 + h*x + w and give h. -1 Rearrange -21*l**2 + 50*l - 29*l**2 + 47*l**2 to the form z*l**2 + x*l + d and give z. -3 Express g**2 + 130*g + 7 - 3*g**2 - 9 + 3 in the form d + w*g + x*g**2 and give x. -2 Rearrange -17427 + 17427 - 319*w to the form b + y*w and give y. -319 Rearrange 38 - m**3 + 368*m**2 - 366*m**2 - 47 to the form x*m**2 + d*m + i*m**3 + l and give d. 0 Express (2*k - 2 + 370*k**3 + 0*k - 367*k**3 - k**2)*(6*k - k + 2*k) in the form c*k + o*k**3 + x*k**4 + u*k**2 + r and give o. -7 Rearrange 2*m**2 - m**3 + 74*m**4 - 9 - 71*m**4 + 0*m**2 - 5 to w*m**4 + y + p*m**3 + j*m**2 + k*m and give y. -14 Rearrange -2*r - 4*r**3 + 14*r + 10*r**4 - 12*r**4 to h*r**3 + t*r + z + w*r**2 + o*r**4 and give t. 12 Express (4*y - 5*y + 2*y)*(177 + 11 + 519 - 117)*(-3*y**2 + 4*y**2 - 2*y**2) as f*y + q + u*y**2 + b*y**3 and give b. -590 Rearrange -i**3 + 0*i**3 - i**3 + (i - 3*i + i)*(2*i**2 - 2 + 2) - i**2 - 2*i**3 + i**2 + 10*i**3 - 30*i**3 + 23*i**3 to y*i**3 + w*i + o + x*i**2 and give y. -3 Express -760*f**2 + 0 + 0 + 740*f**2 + 7 as q*f + d + u*f**2 and give u. -20 Rearrange 691*b + 603*b + 313*b + 28*b to the form n + m*b and give m. 1635 Express -k**3 + 1 + 7*k**3 + 2*k + 23*k**2 - 5*k**3 - 19*k**2 as c + r*k**3 + u*k + t*k**2 and give c. 1 Rearrange -2*k - 4*k**3 + 2*k**3 + 5*k**2 - 3*k**2 + 16*k**4 to the form v*k**4 + u + i*k**3 + p*k + m*k**2 and give i. -2 Express 1 - 2*h**4 + 63*h**2 + 56*h**2 - 2*h + h**2 - 20*h**2 - 14*h**2 in the form m*h**3 + j*h**2 + v*h + y*h**4 + f and give y. -2 Rearrange -2*t**3 + 4*t**3 - 2*t**2 + 47*t - 6*t**2 + 8*t**2 to the form y*t**2 + c + o*t**3 + u*t and give u. 47 Express -655 - f + 0*f + 609 in the form j + h*f and give j. -46 Express -55755 + 266*s + 55755 as r + c*s and give r. 0 Rearrange (-17*k + 6*k + 7*k)*(-64 + 45 - 113) + 3 + k - 3 to the form o + q*k and give o. 0 Express -6 + 3*l + 3*l**3 + 4 - 3 + 4 in the form a + q*l**2 + h*l + d*l**3 and give d. 3 Rearrange (2*t + 0 + 0)*(-2*t + 0*t + 0*t) + 54*t**2 - 50*t**2 - 12*t**2 - 40 to the form p*t**2 + v*t + d and give p. -12 Express (3*j**3 - j + j)*(645*j + 479*j - 15*j - 71*j) in the form z*j**4 + t*j + n*j**3 + l*j**2 + m and give l. 0 Rearrange (22*l - 14*l + 40*l)*(3*l + l - l) + 9*l**2 + 21*l**2 - 11*l**2 to the form t*l**2 + a*l + j and give t. 163 Rearrange (-5*p + 2*p - 4 + 4*p)*(-2*p + 1 - 1) + 217*p**2 - 456*p**2 + 183*p**2 to the form u*p**2 + d + y*p and give y. 8 Express 1244*a**3 + 1236*a**3 + 2*a**2 - 2470*a**3 - 6*a - 4 as o*a + x*a**2 + c + s*a**3 and give s. 10 Rearrange -5*u**2 + 2*u**2 - u**2 + (2 - 2 + u)*(-31*u - 45*u + 27*u) to r*u + t + j*u**2 and give j. -53 Express -561*w + 735*w - 1 + 1 as p*w + x and give p. 174 Express (5*v + 0*v - 3*v)*(2*v - 3*v + 4*v) - 3 + 20*v**2 - 1 + 5 - 2*v + 0*v**2 - v**2 + 4*v**2 in the form l*v**2 + p + t*v and give p. 1 Rearrange 2*n**2 + 1 - n**3 + 17*n - n**2 - 2 + 2*n**2 to k*n**2 + l + u*n**3 + d*n and give u. -1 Express (1 + 1 - 1)*(-3*s - 3*s + 7*s) - s + s + 2*s + 3824 + 150*s - 3824 in the form h*s + u and give h. 153 Rearrange 531 - 508 + 26*b - 17*b to u*b + n and give n. 23 Express (0 - i + 0 + (3 + 1 - 2)*(3*i + 0*i - 2*i))*(119*i**3 + 536*i**3 - 2 - 143*i**3) as l + t*i**2 + s*i**3 + z*i + v*i**4 and give z. -2 Express 35*p**2 + 2*p + 59*p**2 - 2*p as w*p + r + u*p**2 and give u. 94 Express (0 - b**3 + 0)*(-2 - 2 + 5) - 7*b**3 + b**3 + 21*b**3 + 0*b**3 - 5*b**3 + 2*b**3 in the form s*b**2 + n*b**3 + d + l*b and give n. 11 Express (-5*k - k + 13*k)*(17*k + 16*k - 8*k)*(-4*k**2 + 0 + 0) as d*k + n*k**2 + l*k**3 + w*k**4 + j and give w. -700 Express 696*d**2 + 21*d - 2 + 700*d**2 + 3*d**3 - 1397*d**2 as b*d**2 + s*d**3 + o*d + x and give x. -2 Express 116*x**2 - 62*x**2 - 56*x**2 - 13*x**3 + 31*x**3 - 4 as a*x**3 + r*x + z*x**2 + w and give a. 18 Express (4*o + 0*o + o)*(3 - 1 - 1)*(-3 - 23 + 0) - 3 + 3 + 2*o as n*o + z and give n. -128 Rearrange -9 + 2*u**3 + 3*u**2 - 3*u**3 - 2*u**4 + 3*u**3 + u**3 + 6 to v*u**3 + n*u**4 + y*u + a*u**2 + x and give n. -2 Express (-11*n**3 + 2*n**3 + 13*n**3)*(3*n + 0*n - n)*(1 + 1 + 2) in the form d*n + z*n**4 + v*n**2 + x*n**3 + j and give z. 32 Express -15*q**2 - 2*q + 3 + 22*q - 11*q**2 + 26*q**2 + 4*q**3 in the form l + v*q + g*q**3 + b*q**2 and give v. 20 Express p - 2*p**2 - p + (p**2 + 4 - 4 + 2)*(56 - 31 - 2) in the form o*p**2 + u*p + z and give u. 0 Express (-23 + 24 - 81)*(-d + d + 2*d) in the form i*d + s and give i. -160 Rearrange (-2 + t - 1 + 7)*((-t + 3*t - 3*t)*(1 + 1 + 3) + (0 + 0 - 2*t)*(1 + 3 - 2) - t + 0*t - t + 0 - t + 0 - 9*t - t - 4*t) to n*t + c*t**2 + s and give c. -26 Express (-3*g + 0*g + 4*g)*(-5*g + 5*g + 3108*g**2 + 74 - 74) as d + z*g**3 + l*g**2 + p*g and give z. 3108 Rearrange 7*p**3 - 4*p**4 + 27*p - 27*p + p**2 + 6 + p**2 + 2*p**4 to n*p + y + c*p**2 + d*p**4 + b*p**3 and give b. 7 Express -2*n**4 - 2*n**4 + 2*n**4 + (3 - 3 - 1)*(2*n**4 - 3*n + 3*n) - 2*n**4 + 8*n**2 + 552*n - 552*n as v*n**2 + x*n**3 + c*n + d*n**4 + j and give j. 0 Express a**2 + 749*a + 754*a + 394*a in the form d*a + q*a**2 + m and give q. 1 Express (4*h**2 - h**2 - h**2)*(20*h**2 - 12*h**2 - 10*h**2 - 1 - 5*h) - 623 + 3*h**4 - 11*h**2 + 623 as t*h**3 + m*h + b*h**2 + j*h**4 + x and give j. -1 Rearrange 2*t - 1 + 10*t**4 - 1 - t**2 + 7 - 7*t**4 to u*t**4 + j*t + b + s*t**3 + d*t**2 and give j. 2 Express (-127*h**2 + 14*h**3 + 127*h**2)*(2 - 7 + 3)*((8 - 2 - 2)*(1 - 1 + 2) + 0 + 6 - 4)*(-5*h + h + h) as z*h**4 + a*h**3 + m + q*h**2 + i*h and give z. 840 Rearrange 0 + f**3 + 1 - 5*f**3 - 5*f**3 to the form q*f + w + s*f**2 + p*f**3 and give w. 1 Express -20*l**2 - 56*l**2 + 99*l**2 + (l**2 + l - l)*(3 - 4 - 1) + 2*l**2 - 5*l**2 + l**2 as c*l + h*l**2 + x and give h. 19 Rearrange 6*f - 10*f + 10*f**2 + 4*f + 6*f to j*f**2 + a + u*f and give j. 10 Rearrange -2 + 9*i + 8*i**2 + i**2 - 8*i**2 to y*i + q + u*i**2 and give u. 1 Rearrange 8 - 192*s**3 + 98*s**3 + 96*s**3 + 314 to d*s**2 + j*s + n*s**3 + r and give r. 322 Rearrange (-60 + 200 + 532 - 42)*(-t + 5 - 5) to the form k + x*t and give x. -630 Express (-o + 1 - 1)*(2 - 34 - 3) + (-4 - 4 + 5)*(-o - o + 3*o) + (5*o - 1 + 1)*(2 - 5 + 0) in the form y*o + p and give y. 17 Rearrange 0*x**3 - 13*x**2 - x**3 - 3*x**2 - 44*x**2 - 7*x**4 + 9*x**4 to h*x**4 + r + n*x**3 + b*x + p*x**2 and give h. 2 Rearrange 0*t**2 + 3 - 6862*t**3 - t**2 + t**2 + 6858*t**3 - 4*t + 2*t**4 to the form b*t**2 + p + l*t**4 + k*t**3 + m*t and give k. -4 Express 11*v - 18*v + 8*v + (2*v - 5*v + 0*v)*(4 + 0 - 6) + 4*v + 0*v - 2*v as x*v + h and give x. 9 Express 530057 - 384*s**2 - 530057 in the form h*s + m + d*s**2 and give d. -384 Express (-16 + 16 + 20*r)*(r - r + r**2) + (6*r - 13*r - 14*r)*(0*r**2 + 0*r**2 - 2*r**2) as y*r**3 + t + h*r**2 + d*r and give y. 62 Rearrange -146 + 2*b**4 - 56 + 145 - 3*b**4 + b**3 to j*b**4 + v*b**2 + t + s*b**3 + n*b and give t. -57 Express (-7*t + 19*t - 9*t)*(t**3 - 2*t**3 + 0*t**3) + (-7*t**3 - 2*t**3 + 8*t**3)*(-2*t - 2*t + 2*t) in the form d + g*t**3 + m*t**4 + w*t**2 + v*t and give m. -1 Express (6*a - 3*a - a + 2*a + 0 + 0 + (0
{ "pile_set_name": "DM Mathematics" }
*3/3 - 12*w**2. Let x(l) = k*j(l) + 2*s(l). What is x(2)? 4 Let o(w) = w**2 + 5*w + 5. Suppose 27*s - 19*s = -40. Calculate o(s). 5 Let c(j) = -j**3 - 8*j**2 - 5*j + 10. Let v(f) = 10*f**2 - f + 3. Let g be v(2). Let d = 34 - g. Give c(d). -4 Let a = 463 - 457. Let v(n) = 2*n + 13. Calculate v(a). 25 Let i = 5 + -3. Let l = -60 + 66. Let y(m) = 3*m**i + l*m - 4*m**2 - 7 + m**2 + m**2. What is y(-5)? -12 Let x(n) = -n**2. Let i be -2 + -1 - 0 - -2. Let g be (-1 + 2)*(i - -1). What is x(g)? 0 Let c(u) = -3*u**2 - 2*u - 1. Let q be c(-1). Let o(k) = -k**2 + 1 - k**2 + 7*k**2 - 2*k - 6*k**2. Calculate o(q). 1 Let n(k) = -k**3 - 6*k**2 - 9*k - 6. Let r be n(-4). Let x(a) = -5*a - 3*a - 1 + 3 + 3*a**2 + 7*a. What is x(r)? 16 Suppose 4*w + 5*d = 18, -d - 2*d = 5*w - 29. Let n(z) = 3*z**3 - 8*z**2 + 5*z + 12. Let g(a) = a**3 - a + 2. Let p(m) = -2*g(m) + n(m). Determine p(w). 8 Let d(l) = l + 6. Let v(i) = -i**3 + 7*i**2 - 13. Let r be v(7). Determine d(r). -7 Let z(h) = h**3 - 2*h**2 + 8*h + 6. Let m(i) = i**2 + i - i - i. Let f(y) = 6*m(y) + z(y). Suppose 7*x + 107 - 43 = -9*x. What is f(x)? -2 Let s(z) = -z**3 + 10*z**2 - z + 13. Let m be s(10). Let h(r) = 4 - 10 + m - 3*r + 2. Determine h(4). -13 Let x(l) = l**2 + 5*l - 7. Let b = -51 + 37. Let g = b + 8. Give x(g). -1 Suppose 0 = 5*f - 91 - 14. Let t be ((-14)/f)/(1/(-3)). Suppose -5*n + 4*n - t = 0. Let p(m) = m**2 + 4*m + 3. What is p(n)? -1 Suppose -5*s + 4*z - 6 = 20, 0 = -2*s + 2*z - 10. Let r be ((-5 - -2) + (-12)/(-3))*s. Let p(w) = w**2 + 6*w - 1. Determine p(r). -1 Suppose 37*j - 14*j = 46. Let h(z) = -z + 2. Give h(j). 0 Let i(m) be the second derivative of -m**4/12 - 11*m**3/6 - 3*m**2/2 - 349*m. Determine i(-11). -3 Let v = -6 - -48. Let d(p) = -p**3 + 0*p**3 - v*p - p**2 + 42*p. Determine d(0). 0 Let x(p) = p**2 - 2*p. Suppose -g + 24 = 3*g. Let q(v) = v**3 - 6*v**2. Let m be q(g). Suppose 2 = w - m. What is x(w)? 0 Suppose 18*g + 20 = 5*q + 13*g, -q + 4*g - 5 = 0. Let j(k) be the second derivative of 0 - 3/2*k**3 - q*k - 1/20*k**5 + 7/12*k**4 + 3*k**2. What is j(6)? -12 Let l(c) = -2*c**2 + 19*c - 38. Let f be l(6). Let w(m) = -m - 8 + 4 + 3*m. Give w(f). 4 Let t(b) = -14*b - 8. Let g(w) = -5*w - 3. Let k(u) = 8*g(u) - 3*t(u). Suppose -5*o - 3 = -3*x, -2*x + 10 = -2*o + 12. Give k(x). -8 Let z(f) = -9*f**2 - 21*f + 53. Let d(j) = -5*j**2 - 11*j + 28. Let x(p) = -7*d(p) + 4*z(p). Give x(-8). 8 Let d(v) = -v**2 + 11. Let z(q) = q**2 - 4*q - 15. Let c be z(7). Let i(w) = -1. Let g(b) = c*i(b) - d(b). What is g(0)? -17 Let q be ((-330)/(-12))/(-11)*(-18)/(-5). Let h(l) = l**2 + 9*l. What is h(q)? 0 Let q = -30 - -26. Let k = q - -14. Suppose -4*b - 3*s - s = -16, -s = -5*b - k. Let f(u) = u - 1. Calculate f(b). -2 Let a(n) be the second derivative of n**3/2 + 2*n**2 - n. Let h = 78 + -72. Suppose h = 7*o + 27. Determine a(o). -5 Let v(f) = f**2 + 9*f + 7. Suppose 4*a + 39 = w, -5*a + 0 = 25. Let x = 21 + w. Let b be 32/x*(-15)/2. What is v(b)? -11 Let d(v) be the second derivative of -v**4/6 - 7*v**3/3 + 3*v**2/2 - 2*v + 239. Determine d(-7). 3 Let y(m) be the first derivative of m**4/4 + 2*m**3 + 3*m + 69. Let w(c) = -c - 1. Let s be w(5). Calculate y(s). 3 Let m be (-10)/(-6) - 783/81. Let h(b) = -b**3 - 10*b**2 - 14*b + 15. Give h(m). -1 Let o(i) = -i**3 - 4*i**2 + 6*i - 2. Suppose 50 = -k + 45. What is o(k)? -7 Let f(g) be the third derivative of -g**5/60 + 5*g**4/24 + 3*g**3/2 - 9*g**2 + 1. Give f(7). -5 Let i = 5 - 5. Let k = i + 1. Let c(t) be the second derivative of -t**3/2 - 39*t + 1. What is c(k)? -3 Let v(r) = 3*r**3 - 6*r**2 - 9*r. Let m(o) = o**3 - o. Let x(n) = 2*m(n) - v(n). What is x(7)? 0 Let g(n) be the second derivative of -n**5/2 - n**3/6 - 2*n. Suppose -v + 5*y - 5 = 11, 160 = -5*v + 5*y. Let j = v - -35. What is g(j)? 11 Let c(f) = 14*f**2 - 2*f + 3. Let g(m) = 2*m**2 + 7 - 13 + 7 - m - m**2. Let h(u) = -c(u) + 4*g(u). Let p(b) = -b + 4. Let z be p(3). Give h(z). -11 Let v(u) = u**2 + 5*u - 5. Suppose 0 = 2*p - 4*n - 22, 5*p = -0*p - 4*n - 1. Let d be 0/(p/3) - 63/9. Determine v(d). 9 Suppose -13*c + 96 = 3*c. Let p(r) = r**3 - 7*r**2 + 6*r + 6. Give p(c). 6 Let u(r) = r**3 + 5*r**2 + 5*r + 3. Suppose -2*s + 43 = -9. Suppose 3*w - 5*m - s + 108 = 0, -3*w = m + 52. Let l = w - -15. Determine u(l). -1 Suppose 2*r = -r - 3*u + 36, -3*r - u = -34. Let y(c) = -29 + 13 + c + 4 + r. Suppose 4*p - 24 = -4. What is y(p)? 4 Let a = -4 + 1. Let b be (-4)/((20/6)/5). Let n(o) = -7*o**2 + 9*o + 2. Let g(r) = -8*r**2 + 10*r + 2. Let d(t) = b*g(t) + 7*n(t). Determine d(a). -16 Let s(j) = 1 - 20*j + 0 + 16*j. Calculate s(3). -11 Let p(r) = r - 9. Let s be p(14). Let v be s/(-4) - (-138)/(-24). Let w(g) = -2*g - 8. Determine w(v). 6 Let v(h) = -h**3 - 4*h**2 - 2*h - 1. Let q be (-1)/(0 + (2 - 10/6)). Calculate v(q). -4 Suppose -2*q = -5*a - 0*a + 45, 3*a - 27 = q. Let w = 17 - a. Let g(i) = 2*i - 9*i + 11 + 6*i. What is g(w)? 3 Suppose -4*p = -4*i + i + 11, 5*i - 2*p = -5. Let r(h) = 17*h**3 - 39*h**3 - 3*h - 4 + 21*h**3 - 3*h**2. Give r(i). 5 Let v(t) = -38*t**2 + 8*t - 13. Let q(x) = 38*x**2 - 7*x + 11. Let y(g) = -6*q(g) - 5*v(g). Give y(1). -37 Let x(n) = -n**2 - 23*n - 41. Let b be x(-21). Let q(o) = 7*o**2 + 2*o - 1. Give q(b). 8 Let q(m) = -5*m**3 + m**2 - 4. Suppose 5*p = 4*x + 57, p = 2*p - x - 11. Let i(k) = 11*k**3 - k**2 + 8. Let v(g) = p*q(g) + 6*i(g). Give v(-7). -4 Let m(i) = i**2 - 6*i - 4. Suppose 3*d - 5*v - 5 = 0, -4*d = d - 2*v - 21. Determine m(d). -9 Let j(o) = -o**2 - 9*o - 8. Let x = -88 + 71. Let g = 10 + x. Determine j(g). 6 Let k(p) = -p**3 - 3*p**2 - 3*p. Let x(m) = m**2 + 9*m - 2. Suppose -4*y - 5*g = 61, 5*y + g = -g - 55. Let f be x(y). What is k(f)? 2 Let f(g) = 5*g - 1. Let q be (-4)/(-12) + (-4)/24*-10. Suppose -27 = 2*m - 5*n, 9 - 1 = 2*m + q*n. Determine f(m). -6 Let f(i) = -2*i**2 + 2*i - 7. Let g(u) = -u. Let r be (-27)/(-18)*2/3. Let j(y) = r*f(y) + 4*g(y). Let k(l) be the first derivative of j(l). Calculate k(2). -10 Suppose -6*a + 20 = -4*a. Let o = -11 + a. Let n(q) = 8*q**3 - 2*q**2 + 1. Determine n(o). -9 Let i(a) be the third derivative of -a**6/120 + a**5/12 + a**4/12 - a**3/3 + 4*a**2. Suppose -c - 5*c + 30 = 0. What is i(c)? 8 Let b(h) be the first derivative of h**7/840 + h**6/60 + h**5/60 - 7*h**4/24 + 5*h**3/3 + 24. Let n(d) be the third derivative of b(d). Determine n(-5). 8 Let o(v) = -3*v**2 + 3*v**2 + v**2 - 138*v**3 + 119*v**3 - 1. Calculate o(-1). 19 Let s(o) = -o**2 + 5*o + 1. Let x be (-2)/(24/(-57)) + (-3)/(-12). Give s(x). 1 Let k be 14 - 0 - (3 - 1). Suppose 0 = -f - 3*f - k. Let t(z) be the first derivative of z**4/4 + z**3 + z**2/2 + 3*z + 562. What is t(f)? 0 Let p(c) = -c**3 - 6*c**2 - 4*c + 12. Let j be p(-5). Let g(d) = 5*d - 30. Let x be g(j). Let r(k) = -k**3 + 5*k**2 - 2*k - 1. What is r(x)? -11 Let d = -1 + 5. Let b(u) = -6*u - 2. Let i(h) = 5*h + 3. Suppose 13*c - 96 = -19*c. Let o(f) = c*i(f) + d*b(f). What is o(1)? -8 Let b(w) = w**2 + 7*w + 9. Let z(o) = -o**3 + 4*o**2 - o - 13. Let i be z(3). Give b(i). 9 Let z be (0 - 1)*(-9 - -4). Suppose -4 = -0*d - 2*d. Let b(j) = -2*j**2 - 3*j**2 - 10 + 15 - d*j + j**3. Calculate b(z). -5 Let f(o) = -792 + 265 + 12*o + 265 + 260. What is f(-1)? -14 Let y be ((-6)/(-4))/((-129)/30 + 4). Let n(q) = 0*q - 3 - q + 1. Calculate n(y). 3 Suppose -8 = -2*i - 3*l, 5*i - 4*i + 2 = -3*l. Let r be (-25)/10*(-8)/i. Let z(g) be the third derivative of -g**5/20 + g**4/8 - 43*g**2. Determine z(r). -6 Let j = 17 - 16. Let v be (-4 - -3)/(j/(-11)). Let q(p) = -13*p + p**3 + 1 - 2*p**2 + v*p - 2. Give q(-1). -2 Let n(u) = u**2 + 6*u. Let g(q) = -6*q + 23. Let z be g(5). Calculate n(z). 7 Suppose 17*l + 52 = 103. Let j(k) be the first derivative of 3 + 1/3*k**l + 1/2*k**2 - 2*k. Determine j(-2). 0 Suppose 9*j - 5*m + 10 = 14*j, -2*j + 4*m = 14. Let p(s) = -s**2 + 6*s - 3. Let w be p(5). Let n(b) = 0*b + b**w + 3*b + 1 - 5*b**3 - b. Determine n(j). 5 Let f(u) = 9361*u - 9361*u - 17*u**3 + 2*u**3. Calculate f(1). -15 Suppose -4*z = -3*z + 4. Let r = 8 + z. Let a(i) = -9*i**3 - 3*i + 2*i**2 - 18*i**3 - 5*i**2 + 1 + 28*i**3. Calculate a(r). 5 Let h(m) be the third derivative of m**4/12 - m**3/2 + m**2. Let f = 13 + -9. Determine h(f). 5 Let m(k) = 10*k**2 + 4 + k - 14*k**2 + k - k**3.
{ "pile_set_name": "DM Mathematics" }
59307/672 + 5743. What is the common denominator of 77/544 and g? 11424 Suppose 4*h = 195*h - 5863700. What is the least common multiple of h and 10? 30700 Suppose 2*a + 18 = 11*a. Suppose l = 21 + 12. Calculate the least common multiple of l and 30 - ((-32)/64)/(a/(-12)). 297 Find the common denominator of 16/(43680/(-2338)) + 1/2 and 91/2. 390 What is the common denominator of (18 - 13) + 10/(33600/(-17226)) and 1/1960? 3920 Let w(u) = u**3 + 4*u**2 - 23*u + 8. Let n be w(-7). What is the smallest common multiple of 33 and 178/12 - (n/12 - 2)? 165 Let c = -253 + 298. Calculate the smallest common multiple of 5/(195/1944) + 2/13 and c. 450 Let i = 15/419 - 5569/26816. Find the common denominator of 65/4 and i. 64 Suppose -4*i + 17 = 4*t + 5, 4*i + 2*t = 16. Suppose q + 2*c = 2*q - 26, i*q + 3*c - 91 = 0. Calculate the smallest common multiple of 30 and q. 60 Let k be ((-10094)/11319)/((-8)/1569*1). Let m = k - 1234/7. Find the common denominator of 71/56 and m. 616 Suppose -3*h = -5*x - 21, -3*x = h - 5*x - 8. Let r = -1002 - -1016. What is the least common multiple of r and 2 - (h - 10 - 2)? 84 What is the common denominator of 29/10 and -3*(-4839)/(-7056) + 2? 3920 Suppose -2*l + 35*b + 634 = 40*b, -2*b = 4*l - 1316. Calculate the smallest common multiple of 2 and l. 332 Let a = -18332 + 18500. Calculate the lowest common multiple of 144 and a. 1008 Let n(k) = -2*k**2 + 3*k - 23. Let g be n(8). Let x = g + 99. Find the common denominator of 41/42 and 26 + x + (-23)/21. 42 Find the common denominator of -41/1575 and ((-2)/3 - (-6 - 8308/(-1575))) + 0. 1575 Suppose 47*c = 1718 + 961. Suppose -78*x = -c*x - 252. What is the least common multiple of x and 6? 12 Let y = 4777 + -4701. What is the smallest common multiple of y and 114? 228 Let v = -68 - -71. Let g be v*(-4 - (-10)/(-15)). Calculate the smallest common multiple of 9 and ((-24)/g)/(2 + 36/(-21)). 18 Suppose t + 246 = -4*v - 187, 2*v + 211 = 5*t. Let c = v + 225. Calculate the lowest common multiple of 7 and c. 819 Suppose 0 = 3*k - 3. Let u(i) = -100*i + 411. Let n be (-13)/(-13)*(-4)/(-1). Calculate the least common multiple of u(n) and k. 11 Let k = 18637/173880 + -88/621. What is the common denominator of 115/588 and k? 5880 What is the common denominator of 59/32 and (-3)/((-252)/343) + 6? 96 Let m = -14 + 19. Let o(k) = k**2 - k + 16. What is the lowest common multiple of (-4)/(m + -1) + 25 and o(0)? 48 Let m = 499 + -3. Let d = -480 + m. What is the least common multiple of d and 72? 144 Let k = -70661/39830 - -3/1138. Calculate the common denominator of -11 + 696/64 - -8*2/(-10) and k. 280 Let s = 83 + -107. Calculate the smallest common multiple of 1/4 + (-3 - 210/s) and 36. 36 Suppose 0 = -3*w - 4*k - 14, -23 = 5*w + 5*k - 3. Let g = -8036 - -128547/16. Find the common denominator of g and w*(-412)/192*2. 48 Let m = 1055/1017 - 21/226. What is the common denominator of m and 101/7752? 23256 Let m(p) = p**3 - 34*p**2 + 239*p - 6. What is the smallest common multiple of 216 and m(9)? 1080 Let h(m) = -3*m**3 + 141*m**2 + 144*m + 564. What is the smallest common multiple of h(48) and 18? 1692 Suppose -3*p = -2*p. Calculate the common denominator of 6 + (-5)/44*(p - -64) and 46/3. 33 What is the common denominator of 103/220 and (-11 - 1/(880/(-3108))) + 7? 220 Let i = -5097 - -5331. What is the smallest common multiple of i and 390? 1170 Suppose 6*o - 8 = -2*o. Let k be 1/(o/(-12)*3). Find the common denominator of (k - -3)/(16/(-14) - 2) and -43/2. 22 Find the common denominator of 101/880 and (((-2)/(-80))/(2/15))/((-330)/(-890)). 880 Let x = 10727010/577 + -18591. Let k = x + 9133/19041. Find the common denominator of -109/72 and k. 792 Let v be 597/2*(-290)/18. Let l = -4792 - v. What is the common denominator of l and 1/(-4) - ((-3068)/912 + 3)? 114 Suppose 375 = -s + 383. Suppose -17*z + s = -16*z. What is the smallest common multiple of z and 14? 56 Let y = -159592/4531 + 1320/197. Let a = -5549/276 - y. Calculate the common denominator of a and 2/4 - 38/(-8). 12 Let y = -69314 + 5545237/80. Find the common denominator of y and -23/80. 80 Let x = -20 + 41. Suppose 80*a - 57*a = 69. What is the lowest common multiple of a and x? 21 Let j(x) = -x - 2. Suppose 2*s - 78 = 2*h, -192 = -4*s - 88*h + 83*h. Calculate the smallest common multiple of j(-3) and s. 43 Let p be (2 - (-1 + 2))/(-1). Let v = 383 - 385. What is the smallest common multiple of p + (3 + v - -9) and 3? 9 Let a(w) = -50*w**3 + 4*w**2 + 15*w + 5. Let j be a(-2). Suppose 9*u = 6*u - 5*i + 341, -3*u + 5*i + j = 0. What is the smallest common multiple of u and 2? 122 Let z be 63939/30 + (-3)/12. Let x = z - 2128. Calculate the common denominator of x and -23/6. 60 Let t be (4 - 3) + 0 - -51. Suppose 10*i - t = -3*i. Suppose 0 = 5*l + 3*b - 119, 0 = 3*l - i*l - 5*b + 37. Calculate the smallest common multiple of 30 and l. 330 Suppose 0 = 2*o + 21*o - 10511. Let j = o + -409. Find the common denominator of 37/6 and j. 6 Let m = -174/1211 - -5417/484400. What is the common denominator of 13/20 and m? 400 Let s = -71 + 70. What is the common denominator of (s/(-6))/(364/7384) and -95/198? 1386 Find the common denominator of -127/240 and -183*(-42)/2160 - -1*(-4)/2. 240 Let v = -34486/17853 - -45/541. Calculate the common denominator of v and 618/(-8)*(-1)/18. 264 Suppose 21*o + j + 1404 = 18*o, -3*j - 1398 = 3*o. Calculate the common denominator of (0 + o/(-35))/(-3) and ((-1)/(-24))/((-12)/(-1328)). 90 What is the common denominator of 33/3 - (-6 + (-395810)/(-23400)) and 23/520? 4680 Let w = -6/81583 + 7591743/61513582. Calculate the common denominator of w and -33/104. 3016 Let r(s) = 0 + 3 - 5 + 5*s - 6*s. What is the lowest common multiple of r(-9) and (-28)/(-35)*50/4? 70 Suppose -4*a + 4*r - 5 = -21, -5*r + 1 = 2*a. Suppose g = -0*g - a*q - 33, 2*q = -4*g - 82. Calculate the common denominator of -65/3 and (-12)/g*(16/(-3))/1. 9 Suppose -972 = 4*n + 9256. Let j = -5209/2 - n. Let d(s) = -12451*s + 12463. What is the common denominator of d(1) and j? 2 Calculate the common denominator of (-6)/(-3 - 3) + (-334)/48 + 1 and (4/162)/(14/(-91)). 648 What is the common denominator of 13 + (-227913)/17710 + (-2)/10 and ((55/(-20))/(-11))/(35/679)? 5060 Let z be (-2)/(-3) + (-12)/18. Let v(u) = -u**3 - 14*u**2 + 121*u + 3. Calculate the least common multiple of v(6) and (z - -4) + 0 + 0. 36 Suppose -4*t - 4*j = -48, -5 = -4*j + 11. Calculate the smallest common multiple of 162 and t. 648 Suppose -2*j - 3*z + 8165 - 1452 = 0, 3*j - 10053 = z. What is the least common multiple of j/16 - (2 - 10/4) and 7? 210 Let r = -198088 + 1780733/9. Let g = r - -237. What is the common denominator of g and 76/15? 45 Find the common denominator of (-151*6/(-8))/(-33*132/(-242)) and 97/100. 600 Let r be 63892/(-8232)*(-4 + 1398/351). Let l = r + -5/3087. Find the common denominator of 61/9 and l. 351 Let m be 54*(2/4 - 1). Let n = m + 32. Suppose 5*b + 19 = u, 0*u + 211 = n*u + 4*b. Calculate the lowest common multiple of 10 and u. 390 Suppose 9*y + 3006 = 17*b - 13*b, -1518 = -2*b - 3*y. Calculate the smallest common multiple of 252 and b. 756 Let p = -3394 + 3490. Calculate the lowest common multiple of p and 177. 5664 Suppose 0 = 48*j - 35*j - 312. Suppose -2*a + 150 = 3*h, 5*a - 3*h - 341 = -2*h. What is the lowest common multiple of a and j? 552 Suppose 51*d - 26*d - 330*d = -13420. What is the lowest common multiple of 6 and d? 132 Let m = 40/1103 - 118261/6618. What is the common denominator of m and ((-186)/4)/(15/(-4))? 30 Let a(w) = w**2 - 641*w + 626. What is the lowest common multiple of a(0) and 1? 626 Let a be (-1)/(2/(-4)*(-12)/570). Calculate the common denominator of 11*(7 - a/(-10)) and -70/9. 18 What is the least common multiple of 243 and ((-2271)/(-6) - (-4)/(-2))/(628/1256)? 60993 Suppose -4*g + 5*f = 991, -2*f = -13*g + 10*g - 745. What is the least common multiple of 2 + -6 - (g - 5) and 6? 750 Let m = 8802 - 1039. What is the least common multiple of m and 56? 62104 Suppose -5*z - 3*g - 144 = -0*g, -3*g = z + 36. What is the common denominator of 0/(-1) - z/(-30) and -7 + (2041/260)/(2/4)? 10 Let t be -57*(-22)/(-3) + -4. Let i = t + 5903/14. Calculate the common denominator of -83/376 and i. 2632 Let h
{ "pile_set_name": "DM Mathematics" }
0000 Round 236.16 to the nearest ten. 240 What is 599.6175 rounded to the nearest integer? 600 What is -0.0000012099426 rounded to seven dps? -0.0000012 What is -331958.3 rounded to the nearest one hundred thousand? -300000 Round -0.00093345 to 5 decimal places. -0.00093 What is 27.156 rounded to one decimal place? 27.2 Round 4237570000 to the nearest 1000000. 4238000000 What is 9126.69 rounded to the nearest 100? 9100 What is -0.000963179 rounded to 6 dps? -0.000963 Round 2455179.2 to the nearest one thousand. 2455000 Round 3926.88 to the nearest one hundred. 3900 What is 0.6521118 rounded to four dps? 0.6521 Round 37.49316 to the nearest integer. 37 What is 0.00456936 rounded to five decimal places? 0.00457 Round -54.409 to the nearest one hundred. -100 What is -0.0098082 rounded to four dps? -0.0098 Round 0.11257692 to four dps. 0.1126 Round 620356510 to the nearest one hundred thousand. 620400000 What is -41433.72 rounded to the nearest 10000? -40000 Round 0.7583097 to one dp. 0.8 What is -0.0000000858571 rounded to seven dps? -0.0000001 Round -6902.17 to the nearest 100. -6900 What is -13908816 rounded to the nearest ten thousand? -13910000 Round 261.563 to the nearest ten. 260 Round -4741.3 to the nearest 100. -4700 What is 0.65466 rounded to three dps? 0.655 Round -5.612601 to the nearest integer. -6 What is 0.00133987 rounded to three dps? 0.001 What is -44918.7 rounded to the nearest ten thousand? -40000 What is -0.00004255247 rounded to five dps? -0.00004 Round 0.00006117745 to six decimal places. 0.000061 What is 0.001112503 rounded to four dps? 0.0011 What is -346280 rounded to the nearest 100000? -300000 Round 0.0000009941638 to 7 dps. 0.000001 What is -527032280 rounded to the nearest 100000? -527000000 What is -32.18729 rounded to the nearest ten? -30 Round -0.00000322434 to six dps. -0.000003 What is 20.332719 rounded to the nearest integer? 20 Round -6399944 to the nearest 1000000. -6000000 Round 256840.3 to the nearest one hundred thousand. 300000 Round 386430.2 to the nearest ten thousand. 390000 What is -10868.3 rounded to the nearest 1000? -11000 Round -55923.5 to the nearest 1000. -56000 What is 303041400 rounded to the nearest one hundred thousand? 303000000 What is -2.720481 rounded to 1 dp? -2.7 Round 0.0000216816 to seven decimal places. 0.0000217 What is 24183.9 rounded to the nearest 100? 24200 What is 0.0739915 rounded to three dps? 0.074 What is 45671.2 rounded to the nearest one hundred? 45700 What is 37.18086 rounded to the nearest one hundred? 0 What is -0.002288754 rounded to 4 dps? -0.0023 What is -2.81384 rounded to 0 dps? -3 What is 0.5791603 rounded to 1 dp? 0.6 Round -0.0016388241 to 7 decimal places. -0.0016388 Round 0.014298904 to four dps. 0.0143 What is 0.074856312 rounded to 5 decimal places? 0.07486 Round -0.0499703 to two dps. -0.05 What is 0.159167 rounded to 1 decimal place? 0.2 What is -0.00001162267 rounded to 6 dps? -0.000012 Round 0.002700204 to five dps. 0.0027 Round 2464.714 to the nearest 1000. 2000 Round 0.00179063 to four decimal places. 0.0018 What is -0.5197056 rounded to 1 decimal place? -0.5 Round -12878.3 to the nearest 100. -12900 What is -59229300 rounded to the nearest one million? -59000000 Round -2.6446319 to three decimal places. -2.645 Round 0.000006445424 to six decimal places. 0.000006 Round 1234123.7 to the nearest ten thousand. 1230000 What is 2.61777 rounded to zero decimal places? 3 Round 4.286571 to three dps. 4.287 What is -58576.62 rounded to the nearest 1000? -59000 What is -0.000459919 rounded to four dps? -0.0005 What is -1.0769 rounded to the nearest ten? 0 What is -797040 rounded to the nearest one thousand? -797000 What is 0.00634918 rounded to 5 dps? 0.00635 Round 0.00009708182 to 7 dps. 0.0000971 Round 9.679482 to 2 decimal places. 9.68 What is -1955.546 rounded to the nearest integer? -1956 What is 68.63732 rounded to zero decimal places? 69 What is 1.1474942 rounded to one decimal place? 1.1 What is 0.00000314016 rounded to seven dps? 0.0000031 What is -35180890 rounded to the nearest 10000? -35180000 Round -96808.6 to the nearest 100000. -100000 What is 3826577 rounded to the nearest 100000? 3800000 What is 0.000000440648 rounded to 7 dps? 0.0000004 What is 4.83469 rounded to 0 decimal places? 5 Round -0.000144438 to 6 decimal places. -0.000144 Round -83.2586 to the nearest 10. -80 What is 0.00069546585 rounded to 4 dps? 0.0007 What is -35577.07 rounded to the nearest 10? -35580 What is -0.0002359657 rounded to 5 decimal places? -0.00024 Round 175833700 to the nearest one hundred thousand. 175800000 What is 162.52154 rounded to one dp? 162.5 What is 93.32101 rounded to 2 decimal places? 93.32 What is 2.347 rounded to the nearest ten? 0 What is -4245788.5 rounded to the nearest 10000? -4250000 What is -0.00110781 rounded to six decimal places? -0.001108 What is 0.00007400687 rounded to five decimal places? 0.00007 What is -47873.61 rounded to the nearest 1000? -48000 Round 0.00618442 to 3 dps. 0.006 What is 56960.4 rounded to the nearest one hundred? 57000 Round -0.005337101 to 5 decimal places. -0.00534 Round -28356100 to the nearest 1000000. -28000000 Round -54.44944 to 0 decimal places. -54 Round 31598.42 to the nearest 10. 31600 What is 5133410 rounded to the nearest 1000000? 5000000 Round 2400.8 to the nearest one hundred. 2400 What is 0.004600702 rounded to 5 decimal places? 0.0046 Round 350.5158 to one dp. 350.5 What is 1294499 rounded to the nearest 10000? 1290000 What is -0.171033 rounded to one dp? -0.2 What is 345.01075 rounded to the nearest integer? 345 What is -0.00307231 rounded to 5 dps? -0.00307 What is 121970990 rounded to the nearest one million? 122000000 What is -181.737 rounded to zero decimal places? -182 Round -0.00125764 to 6 dps. -0.001258 Round 0.0733408 to five dps. 0.07334 What is -7890.67 rounded to the nearest one hundred? -7900 Round -324.5458 to the nearest one hundred. -300 What is 0.0027149524 rounded to 6 dps? 0.002715 Round -37524.47 to the nearest 10. -37520 What is -0.000002424551 rounded to 7 decimal places? -0.0000024 Round -608610800 to the nearest one million. -609000000 What is 57374970 rounded to the nearest one million? 57000000 Round -4236473 to the nearest 10000. -4240000 Round -0.0009799581 to five dps. -0.00098 Round 155368.47 to the nearest 100. 155400 Round -0.003857875 to six dps. -0.003858 Round -0.00010247356 to seven dps. -0.0001025 What is -0.00056113168 rounded to 7 dps? -0.0005611 What is 3.4201 rounded to two dps? 3.42 What is 0.100209 rounded to 3 dps? 0.1 What is -218520.6 rounded to the nearest 1000? -219000 Round -4.298321 to the nearest integer. -4 Round -0.000016492701 to six decimal places. -0.000016 Round -0.808586 to 2 dps. -0.81 What is -12.3289 rounded to zero decimal places? -12 Round 11977.059 to the nearest ten. 11980 What is -1066.932 rounded to the nearest 100? -1100 What is -2160509.4 rounded to the nearest ten thousand? -2160000 What is -818923.89 rounded to the nearest 1000? -819000 Round -5134297300 to the nearest one million. -5134000000 What is 1399.1238 rounded to the nearest 100? 1400 Round -27143860 to the nearest one hundred thousand. -27100000 Round -1.013105 to three dps. -1.013 What is -3618360 rounded to the nearest ten thousand? -3620000 What is -1080203 rounded to the nearest 1000? -1080000 Round -137371000 to the nearest 1000000. -137000000 Round -550.0747 to 1 dp. -550.1 Round 0.00000377271 to 6 decimal places. 0.000004 What is -0.00000336061 rounded to 7 dps? -0.0000034 Round 998.369 to the nearest 10. 1000 What is 0.000003058584 rounded to seven decimal places? 0.0000031 Round 43595.5 to the nearest 100. 43600 What is -5.9943544 rounded to three decimal places? -5.994 Round -7502880 to the nearest ten thousand. -7500000 What is -0.18907077 rounded to three decimal places? -0.189 Round 0.003495374 to 4 dps. 0.0035 Round 1.0493621 to three decimal places. 1.049 Round -1427.544 to the nearest one hundred. -1400 Round -0.00065862 to 5 decimal places. -0.00066 Round 0.000001657731 to 6 dps. 0.000002 Round 31510.13 to the nearest 10. 31510 What is 17.427583 rounded to the nearest integer? 17 What is -86.86011 rounded to the nearest integer? -87 What is -0.807607 r
{ "pile_set_name": "DM Mathematics" }
l - 20*l + 528360 = 98*l. What is the hundreds digit of l? 4 Let v(n) = -47*n + 34. Let s be v(-4). What is the tens digit of 2*s/4 - 8? 0 Suppose -114 = 4*k + 18. Let z = k + 166. Let w = z - 70. What is the tens digit of w? 6 Let x = -52743 - -78968. What is the tens digit of x? 2 Let l(p) = -266*p**3 - 2*p**2 - 46*p - 105. What is the hundreds digit of l(-3)? 1 Let q(c) be the second derivative of 11*c**4 - c**3/2 - 147*c. What is the tens digit of q(-2)? 3 Suppose -46004 = -19*b + 14*b - u, -46012 = -5*b - 3*u. What is the thousands digit of b? 9 Let t = 31994 + -19574. What is the hundreds digit of t? 4 Suppose 3*z + c - 18033 = 0, -39*z = -40*z + 5*c + 5995. What is the thousands digit of z? 6 Let p be (-8)/6*(-6)/8. What is the tens digit of (p/1)/(21/9030)? 3 Let m be (-6)/15 - 468/30. Let x be 3/(-2)*m/6. Suppose x*y - 128 = -4*b, -4*b - y + 120 = -5*y. What is the units digit of b? 1 Suppose 17*b - 99*b = 249*b - 7190313. What is the ten thousands digit of b? 2 Let d(k) = k**2 + 4*k - 16. Let a(g) = 1 + 6*g + 9 - 6*g + 8*g + 2*g**2. Let w be a(-4). What is the hundreds digit of d(w)? 1 What is the units digit of 1264/(-112) - -11 - 82072/(-14)? 2 Suppose -5*g - 3*h + 12 = -2*h, -g - h = 0. Let c be 12*((-4)/(-8))/(g/2). Suppose 3*z - t - 715 = 0, -1236 + 56 = -5*z + c*t. What is the units digit of z? 0 Suppose -80*k + 4971512 = 944072. What is the units digit of k? 3 Suppose -7*w = 2 - 37. Let n(q) = 263*q + 139. What is the thousands digit of n(w)? 1 Let h = -117 - -120. Suppose h*i - 2*i = 466. Let x = 705 - i. What is the hundreds digit of x? 2 Let t(q) = 206*q - 20. Let a be t(2). Let f = -94 + a. What is the hundreds digit of f? 2 Let y(g) = 17708*g**2 - 289*g + 291. What is the hundreds digit of y(1)? 7 Let w be (-14 + 11)/(1/(-1)). Suppose 5*z - 2*z = -4*t - w, 4*z - 6 = -2*t. Let p(k) = -k**3 + 2*k**2 + 3*k + 6. What is the units digit of p(z)? 6 Let o(t) be the third derivative of -5*t**4/8 - 17*t**3/6 + 20*t**2. Let y be o(-16). Suppose y = 5*h + i, -5*h + 3*i = -2*i - 205. What is the tens digit of h? 4 Let t be 96/(-9) - (-3)/(-9)*-2. Let b(x) = x**3 + 11*x**2 + 11*x + 16. Let a be b(t). What is the tens digit of a/24 + (-222)/(-8)? 2 What is the thousands digit of (405786/(-88))/((-129)/344) + (-12)/22? 2 Suppose -5*o = -448 - 842. Suppose -o*p = -259*p + 131. What is the units digit of p? 1 Let o = 2002 + -1522. What is the units digit of o? 0 What is the tens digit of -3*20/(-12) + (-2 - (-7067 - -2))? 6 Let o(k) = 9*k + 4*k**2 - 32 - 6*k**2 - k**2. Let n be o(-10). What is the tens digit of n/(-4) - 1/(-2)? 0 Suppose 114604 = 4*c - 3*k + 6*k, -28641 = -c - 2*k. What is the thousands digit of c? 8 Let a(p) = -239*p**3 + 11*p**2 + 27*p + 1. What is the thousands digit of a(-4)? 5 Suppose -3*i + 105341 = 4*g, 0 = 178*g - 174*g + 2*i - 105334. What is the hundreds digit of g? 3 Let d(w) = -2*w**3 + 8*w**2 + 9*w - 8. Let u(b) = -425*b**2 + 425*b**2 + b**3. Let h(p) = d(p) + u(p). What is the tens digit of h(7)? 0 Suppose 22*s - 18*s - 4*o = 36180, 2*s - o = 18090. What is the tens digit of s? 4 Suppose -7*r = -11237 + 2522. Let t = r - 531. What is the units digit of t? 4 Suppose -4*x + 3*d + 21046 = 0, -4*x - d = -3*x - 5251. What is the hundreds digit of x? 2 Suppose -3*s = m - 1423, 4*s + 7077 = 10*m - 5*m. What is the hundreds digit of m? 4 Suppose 2*m = -3*q + 178, -m = -0*m - 2. Let z = q + -56. Suppose 2*h = x + 18, z*h - 3*x - 10 = -0*h. What is the units digit of h? 1 Let b = 16018 - -11954. What is the tens digit of b? 7 Suppose 0 = 3*l + l - 28. Let b(d) = -2*d**2 + 15*d - 8. Let j be b(l). What is the units digit of (9*1)/(j/(-18)*2)? 1 Suppose 5*y + 576 - 141 = 5*x, -y - 423 = -5*x. Let h be (x/(-70))/((-2)/(-20)). What is the tens digit of 42 + (h/(-2) - 2)? 4 Let v be ((-2)/(-6) + 18/27)*5. Suppose v*x - 1165 + 310 = 0. What is the units digit of x? 1 Suppose -12*z + 1203280 = 248*z. What is the units digit of z? 8 Suppose 364*m = 366*m + 5*y - 30798, 2*m + 2*y - 30816 = 0. What is the units digit of m? 4 Let i = -14 - 1. Let g(j) = j**2 + 15*j + 2. Let a be g(i). Suppose 0 = a*k - 43 - 35. What is the tens digit of k? 3 Suppose -13*l + 169470 = 29*l. Suppose -17*g - l = -32*g. What is the hundreds digit of g? 2 Suppose 5*a = 2*t - 29, 4*a + 16 = -3*t + 4*t. What is the units digit of (-35271)/(-36) + -7 + 3/t? 3 Let g(r) = 34*r + 77. Let n = 578 - 561. What is the hundreds digit of g(n)? 6 Let q(s) = 5*s + 10. Let x be q(6). Suppose -5*d - 10 = -4*z, -4*d + 2*d - 6 = -2*z. What is the hundreds digit of (-16)/x - ((-1354)/10 + d)? 1 Suppose 0 = h + 4*o - 25472, h - o = 29866 - 4414. Suppose -h = -19*q + 1296. What is the tens digit of q? 0 Let i(s) = -4593*s + 3488. What is the ten thousands digit of i(-5)? 2 Let d(z) = 45*z + 957. What is the thousands digit of d(14)? 1 What is the hundreds digit of (9 + (-783)/(-2))/(-5 - 3669/(-732))? 5 Let r = -4291 + 5635. What is the thousands digit of r? 1 Let j(o) be the first derivative of o**2 - 4*o + 18. Let p be j(11). What is the units digit of (45/(-10))/((-1)/p*1)? 1 Suppose -3*k + 26 = 20. Let q be (0/4 - 3) + -2 + 105. Suppose 10 = k*o - q. What is the units digit of o? 5 Let t be (-12)/(-2) - (369 + -3). Let i = 669 + t. What is the hundreds digit of i? 3 Let d = -237 + 747. Let s = d + -303. What is the hundreds digit of s? 2 Let n be 114/(-27)*6*6/(-4). Suppose -22*m + n*m = 2384. What is the tens digit of m? 4 Let k(y) = -y**2 - 1. Let z(c) = 4*c**2 - 4*c - 2. Let v(p) = -4*k(p) + z(p). Let t be v(1). Suppose -1170 = -t*l - 4*l. What is the hundreds digit of l? 1 Let o(t) = 4190*t**3 + 14*t**2 - 15*t - 8. What is the hundreds digit of o(2)? 5 Let d(j) = j**2 - 11*j + 17. Let g be d(9). Let x be (3 + g)/(1*3/6). Suppose -x*t - 8*h + 3*h + 709 = 0, -2*t + 349 = -3*h. What is the units digit of t? 6 Let l be 3*14/6*240/35. Suppose -4*u + 3*z = 249, z = -u - 3*z - l. What is the units digit of (u/18)/(2/(-30))? 0 Let h(a) = a - 11. Let b be h(14). Suppose -3*q + z = -19, 0 = q + 2*q + b*z - 3. Suppose q*k - 108 = 457. What is the hundreds digit of k? 1 Let n = -17513 - -53989. What is the tens digit of n? 7 Let m be -1 - 678/(-3) - 1*4. Let s = -205 + m. What is the units digit of s? 6 Suppose -255*x + 2408 = f - 258*x, -2*f + 4*x = -4810. What is the tens digit of f? 9 Suppose 4*o - 1259 = 601. What is the tens digit of (4 + 0 + -1)*7750/o? 5 Let j(k) be the third derivative of -k**6/5 + k**5/10 + k**4/24 - 11*k**3/6 - 133*k**2. What is the hundreds digit of j(-3)? 6 Let i(h) be the third derivative of 16*h**5/15 + h**4/8 + 5*h**3/2 + h**2 + 127. What is the hundreds digit of i(-4)? 0 Let i(v) = v**3 - 3*v**2 + 5*v + 5. Let h be i(-4). Let w(s) = s**3 - 7*s**2 - 37*s + 32. Let f be w(7). Let d = h - f. What is the units digit of d? 0 Let h be (-7)/42 - (4 + (-150)/36). Suppose -4*f + 4*s = -6520, -s + 6530 = -h*f + 4*f. What is the hundreds digit of f? 6 Let l(m) = 12660*m**3 + 2*m**2 - 5*m + 4. What is the hundreds digit of l(1)? 6 Let t(s) = -2*s**3 + 21*s**2 - 8*s - 20. Let k be t(10). Suppose 3*j + m - 726 - 369 = 0, k = 2*m. What is the units digit of j? 5 Suppose 0 = -2*x + 268 - 260. Suppose 3*m = g - 65, -x*g + 8*g = -3*m + 305. What is the units digit of g? 4 Let h = 37658 + 4067. What is the units digit of h? 5 What is the tens digit of (-14972)/(-16) + 36/144? 3 Let i = 51 - 52. Let y(m) = 12*m**2 + 2*m + 2. Let v be y(i). Let a = v + 44. What is the tens digit of a? 5 Let c(f) = -2*f + 26. Let h be c(12). Let x be 2*-1*h/(-1). Suppose 0 = -2*q - 4, -j + x*j - 113 = q. What is the tens digit of j? 3 Let m(a) = -a**3 - 8*a**2 - 8*a - 5. Let b be m(-7). Suppose -d - 296 = -9*d. Suppose 121 - d = b*l. What is the units digit of l? 2 Let j = 9468 + -4693. What is the hundreds digit of j? 7 Suppose 3*q - 24 = 5*q. Let a(d) = -2*d - 24. Let z be a(q). Suppose z = -k - 32 + 104. What is the units digit of k? 2 Let s(a) be the third derivative of 49/24*a**4 - 41/6*a**3 + 0*a + 0 - 5*a**2. What is the units digit of s(5)? 4 Let x = 4 - -60. Let d be ((-4)/(x/(-2220)))/((-3)/(-8)). Let i = -214 + d. What is the units digit of i? 6 Suppose -5*a = -8*g + 3*g - 15, -a - 2*g = 0. Suppose 620 = y + r, -a*r = -4*y + 2*r + 2440. What is the hundreds digit of
{ "pile_set_name": "DM Mathematics" }
. 3/110 Calculate prob of sequence qaq when three letters picked without replacement from qqqaaaaqqqq. 28/165 Calculate prob of sequence yv when two letters picked without replacement from yvdyddyyydy. 3/55 Three letters picked without replacement from vzayyvayjyzaazvj. Give prob of sequence vaj. 1/140 Calculate prob of sequence iu when two letters picked without replacement from imiiuuaii. 5/36 Calculate prob of sequence tq when two letters picked without replacement from ootttttqtt. 7/90 Two letters picked without replacement from rrrrurrrrrrrrrrurrrr. Give prob of sequence rr. 153/190 Calculate prob of sequence cuc when three letters picked without replacement from cbccccccubu. 14/165 Two letters picked without replacement from qtohtkr. Give prob of sequence oh. 1/42 Three letters picked without replacement from {n: 2, q: 2}. What is prob of sequence nqn? 1/6 Calculate prob of sequence pd when two letters picked without replacement from {t: 3, q: 7, o: 1, d: 4, p: 2}. 1/34 Calculate prob of sequence hkr when three letters picked without replacement from {k: 5, h: 3, r: 5}. 25/572 Three letters picked without replacement from gpjixjpjpjiijvgjj. What is prob of sequence jix? 7/1360 Calculate prob of sequence dv when two letters picked without replacement from {d: 4, z: 1, g: 2, v: 3, w: 1}. 6/55 Two letters picked without replacement from {m: 1, n: 1, o: 1, v: 4, y: 5}. What is prob of sequence oy? 5/132 Calculate prob of sequence nyy when three letters picked without replacement from {n: 3, y: 3}. 3/20 Two letters picked without replacement from lrsvsrpvlrpvpvvvrr. Give prob of sequence lv. 2/51 Calculate prob of sequence iib when three letters picked without replacement from ibibb. 1/10 Four letters picked without replacement from ggiiiqhmhhhr. Give prob of sequence igir. 1/990 Two letters picked without replacement from {i: 1, b: 1, m: 3, o: 1, a: 1}. Give prob of sequence bm. 1/14 Calculate prob of sequence mm when two letters picked without replacement from {i: 2, m: 7}. 7/12 Calculate prob of sequence wrc when three letters picked without replacement from {c: 5, o: 3, r: 1, w: 3}. 1/88 Three letters picked without replacement from {a: 2, c: 1, o: 1}. What is prob of sequence aaa? 0 Three letters picked without replacement from {k: 1, r: 1, d: 1, p: 1, s: 1}. What is prob of sequence rpk? 1/60 Four letters picked without replacement from {n: 1, j: 3, t: 1, r: 2, z: 3}. What is prob of sequence jzjj? 1/280 Calculate prob of sequence xtt when three letters picked without replacement from tccxxtctccckcw. 1/182 Calculate prob of sequence wiji when four letters picked without replacement from {j: 1, i: 2, w: 2}. 1/30 Calculate prob of sequence bqs when three letters picked without replacement from bsssbbsbssssossslq. 11/1224 Four letters picked without replacement from {t: 2, k: 2, f: 9, n: 1}. What is prob of sequence ftkk? 3/2002 Three letters picked without replacement from {n: 11, b: 1, f: 1, g: 2}. Give prob of sequence nfn. 11/273 Two letters picked without replacement from {k: 2, j: 3, r: 4, z: 2, g: 1}. Give prob of sequence kg. 1/66 Three letters picked without replacement from {y: 5, e: 7}. What is prob of sequence yey? 7/66 Three letters picked without replacement from pmlllpmll. What is prob of sequence lpp? 5/252 Three letters picked without replacement from wuywwwuyw. Give prob of sequence yuy. 1/126 Calculate prob of sequence xrz when three letters picked without replacement from kznxnznzrknbzzrzkz. 7/2448 Calculate prob of sequence fsp when three letters picked without replacement from {f: 4, p: 2, v: 2, s: 4}. 4/165 Calculate prob of sequence ae when two letters picked without replacement from {a: 1, v: 1, e: 3}. 3/20 Four letters picked without replacement from {z: 13, h: 6}. Give prob of sequence zhzz. 143/1292 Three letters picked without replacement from {n: 2, w: 1, k: 3, r: 7, e: 7}. What is prob of sequence kwn? 1/1140 Calculate prob of sequence nv when two letters picked without replacement from {n: 5, v: 2}. 5/21 Four letters picked without replacement from eoopsae. Give prob of sequence saep. 1/420 What is prob of sequence qc when two letters picked without replacement from {x: 1, c: 7, u: 5, q: 5}? 35/306 What is prob of sequence mdjt when four letters picked without replacement from {i: 2, j: 6, m: 1, d: 3, t: 2}? 3/2002 What is prob of sequence xg when two letters picked without replacement from {t: 10, g: 9, x: 1}? 9/380 Three letters picked without replacement from {d: 5, k: 14}. What is prob of sequence kdk? 455/2907 Calculate prob of sequence jaw when three letters picked without replacement from {c: 2, j: 2, v: 1, k: 1, w: 3, a: 3}. 3/220 What is prob of sequence ie when two letters picked without replacement from eeeeeieeeeeeeeieee? 16/153 Four letters picked without replacement from mmmkmmmmkmvmmzkebe. What is prob of sequence bkme? 1/1224 What is prob of sequence fw when two letters picked without replacement from {w: 3, r: 1, f: 5}? 5/24 Two letters picked without replacement from {u: 2, e: 17}. Give prob of sequence ee. 136/171 What is prob of sequence hhoo when four letters picked without replacement from {h: 2, j: 1, o: 3, v: 1}? 1/70 Two letters picked without replacement from {e: 2, x: 3, r: 6, k: 6, b: 1}. What is prob of sequence xe? 1/51 What is prob of sequence rj when two letters picked without replacement from {x: 5, k: 4, j: 3, z: 1, r: 1, l: 4}? 1/102 What is prob of sequence vvh when three letters picked without replacement from {v: 9, k: 2, h: 5}? 3/28 What is prob of sequence nir when three letters picked without replacement from {i: 1, n: 1, g: 1, x: 1, j: 1, r: 2}? 1/105 Calculate prob of sequence ymt when three letters picked without replacement from {y: 1, t: 1, m: 2, h: 6, s: 2}. 1/660 Two letters picked without replacement from falaaafuaffffaaala. What is prob of sequence fl? 2/51 Calculate prob of sequence zxa when three letters picked without replacement from azzzzzabaax. 2/99 What is prob of sequence jvjv when four letters picked without replacement from jvvcnvcvnvvjccvccv? 7/4590 What is prob of sequence ffmf when four letters picked without replacement from {m: 1, g: 1, i: 1, f: 4, q: 2}? 1/126 Four letters picked without replacement from ytthtttthythtyhyhth. What is prob of sequence thht? 15/646 What is prob of sequence vby when three letters picked without replacement from {t: 1, v: 2, b: 1, y: 1}? 1/30 Calculate prob of sequence dd when two letters picked without replacement from {r: 2, d: 2, a: 1, c: 2, b: 1}. 1/28 Two letters picked without replacement from bububulsllssdbbssmsb. Give prob of sequence bl. 9/190 Two letters picked without replacement from goyvona. What is prob of sequence ov? 1/21 Calculate prob of sequence bv when two letters picked without replacement from aaanvrbbabvn. 1/22 Calculate prob of sequence pp when two letters picked without replacement from {p: 8, e: 2}. 28/45 What is prob of sequence na when two letters picked without replacement from {a: 5, n: 3}? 15/56 Calculate prob of sequence bib when three letters picked without replacement from ighhohhbhzhbb. 1/286 Three letters picked without replacement from ffffffffffaf. Give prob of sequence fff. 3/4 What is prob of sequence qzqi when four letters picked without replacement from {i: 1, q: 8, z: 7, b: 1, e: 2}? 49/11628 Four letters picked without replacement from hwohhxsxhhwh. What is prob of sequence hosh? 1/396 Calculate prob of sequence rjj when three letters picked without replacement from {r: 6, j: 4}. 1/10 Calculate prob of sequence qrtr when four letters picked without replacement from rqrrrtqrtqqrqrr. 2/117 What is prob of sequence gr when two letters picked without replacement from {r: 9, g: 3}? 9/44 Two letters picked without replacement from twccchcwcwhcccw. What is prob of sequence ch? 8/105 What is prob of sequence mp when two letters picked without replacement from {p: 5, m: 3}? 15/56 What is prob of sequence bbb when three letters picked without replacement from {b: 3}? 1 Calculate prob of sequence slo when three letters picked without replacement from {s: 1, l: 1, r: 1, z: 1, y: 2, o: 1}. 1/210 Calculate prob of sequence yy when two letters picked without replacement from {y: 2,
{ "pile_set_name": "DM Mathematics" }
= -a**2 + 7*a - 2. Let l be p(7). Let g(m) = 2*m**2 - 3. Let c be g(4). Suppose -5*u + 0*u + 4*f + c = 0, 5*f = -5. Put l, u, 0 in ascending order. l, 0, u Let x(f) be the first derivative of -f**2/2 + 2*f - 4. Let l be x(3). Let r = 1 - 1. Sort l, -2, r. -2, l, r Let c(m) = -2*m**3 - m. Let z be c(-1). Suppose -z*s = 6 + 3. Suppose 4*o + 5 = -o. Sort o, 0, s. s, o, 0 Let f be (-4)/6*3/(-2). Suppose -5 = -i - f. Put -3, 5, i in descending order. 5, i, -3 Suppose 0 = 2*t - 5*t. Let o = 0.7 + 0.3. Let m = -4 - o. Put m, -4/7, t in ascending order. m, -4/7, t Let m = 71 + -64. Sort m, -3/4, 2, -0.5. -3/4, -0.5, 2, m Suppose -4*t = -2*t. Let n = -5 + t. Put 0, n, 2 in increasing order. n, 0, 2 Suppose 8 = -u - 3*u. Let m be (-6)/28 - 6/21. Let f be -3 - 2/(-8)*14. Sort f, m, u in descending order. f, m, u Suppose -3 - 19 = -h - 2*m, -39 = -2*h - 3*m. Suppose y + 10 = 2*y + 5*i, -4*i = -h. Put 0, -4, y in decreasing order. 0, -4, y Let o = 8 + -3. Suppose 2*k = -2*n + k + 5, -3*k + 10 = n. Put 3, n, o in descending order. o, 3, n Let j = -6.02 - -6. Let m = -0.02 - j. Let a = m - 0.3. Sort -0.4, 0.4, a in ascending order. -0.4, a, 0.4 Suppose 2*n = 8 + 6. Sort n, 3, 4. 3, 4, n Let b = -5 + -2. Let q = b - -12. Suppose 4*t + 0*u + 4*u + 12 = 0, 2*t + 6 = -4*u. Sort q, t, -5 in ascending order. -5, t, q Let c = -17 - -37. Suppose -o = -5*p + 4 + 3, c = o + 4*p. Suppose 4*b - o = -0*b. Sort -5, b, 0 in descending order. b, 0, -5 Let g = -7 - -14. Let r = -3 + g. Let f = -0.2 + -0.1. Put r, f, -3 in descending order. r, f, -3 Let s be -1 + (2 - 16/4). Sort 4, 2, s, 1. s, 1, 2, 4 Let u = 3 + 0. Suppose 0 = -z - 5*p + 5, u*p + p - 4 = -5*z. Sort -0.1, z, -5. -5, -0.1, z Let g = -0.6 + 3.6. Let m = -5 + g. Let a = -45 + 133/3. Put 4, a, m in ascending order. m, a, 4 Let c = -3 + 6. Suppose -5*f + 0 = c*n + 26, -4*n = -2*f. Sort -1, f, 5 in decreasing order. 5, -1, f Let s = 5 + -10. Suppose 11 = 5*j - 29. Let a be (-4)/(-6)*12/j. Sort a, -3, s in decreasing order. a, -3, s Let u = 0.01 + 0.79. Let w = u - 1.4. Put 1/4, -1/3, w in decreasing order. 1/4, -1/3, w Let d = 2 - 2. Let k = 50 + -49.8. Sort 1/10, k, d. d, 1/10, k Suppose 2*m - 29 = -27. Sort m, -13, -2 in descending order. m, -2, -13 Let d = -93 + 93.2. Sort d, 3/8, -1 in increasing order. -1, d, 3/8 Let t be (-240)/(-108) + -1*2. Let b = -0.2 + -0.2. Sort t, b, 1 in descending order. 1, t, b Let l(r) = -r**3 - 7*r**2 + 10*r + 18. Let k be l(-8). Let z(p) = -3*p - 1. Let d be z(-1). Let b be 4/d + 3 + -2. Put b, 4, k in ascending order. k, b, 4 Suppose 0 = m + 7 - 10. Sort 4, m, -4. -4, m, 4 Let j = -12 + 11.9. Put j, 5/2, 1/2, -2 in ascending order. -2, j, 1/2, 5/2 Suppose -5*d - 53 - 63 = 2*i, -3 = i. Let o be (-6)/d - (-4)/(-22). Let q = -3/56 + -5/168. Put o, q, 3/4 in increasing order. q, o, 3/4 Let b = -2099/120 + 141/8. Let w = 5.4 + -7. Let r = -2 - w. Sort 3, b, r in decreasing order. 3, b, r Suppose -3*y + 0 = -2*f + 2, -5*f - 5*y + 30 = 0. Let v = -0.12 + 0.02. Sort v, 0, f in increasing order. v, 0, f Suppose 0 = -b - 0*b + 3. Let s be (-1 - 2/b) + 1. Sort 0, s, -1/3 in ascending order. s, -1/3, 0 Let f = 82.4 - 82. Sort f, 1, 0.2. 0.2, f, 1 Let m be (10/(-4))/(222/72 + -3). Sort 4, -3, m in decreasing order. 4, -3, m Suppose 5*j = -x - 21, 2*j + 5 + 0 = 3*x. Put j, -0.1, 2/21, 1/11 in ascending order. j, -0.1, 1/11, 2/21 Let d = 42 - 39. Sort 0, -3, -5, d. -5, -3, 0, d Suppose -4*o + 5*x + 25 = 0, o + 2*o = 4*x + 19. Put -0.1, -2, o in ascending order. -2, -0.1, o Let i = -485/7 + 69. Let z = -6 + 4. Suppose 3 = -o + 2. Put i, z, o in increasing order. z, o, i Let c = -72 - -64. Put c, 3/4, 3/5, 0 in decreasing order. 3/4, 3/5, 0, c Let z = 156 - 155. Sort -1/2, -1, 5, z. -1, -1/2, z, 5 Let i be (-6)/(-10) - 94/(-10). Let u = 1 + i. Suppose 2*p - z - u = 0, 2*z = p + 2*p - 19. Sort p, 0, 5. 0, p, 5 Let i = -1.1 + 1. Let a = i - -5.1. Sort -5, -4, a in ascending order. -5, -4, a Let w = 17 + -20. Put 0, 0.1, w in ascending order. w, 0, 0.1 Let y = 23.13 - 0.73. Let u = y + -22. Sort -1, u, 2/7. -1, 2/7, u Let w(n) = 4*n. Let u be w(1). Suppose -u*c + 27 = -2*c - 5*t, 5*t = -3*c - 22. Put c, 4, 2 in descending order. 4, 2, c Let z be (-128)/(-40) - (-1)/(-5). Let b = -1 + z. Suppose -b*v - 4 = -2*m, 3*m = v - 2*m - 6. Put -3, 5, v in decreasing order. 5, -3, v Let c(u) = -u**2 + 7*u + 4. Let d(k) = k**2 - 5*k - 7. Let g be d(7). Let p be c(g). Put 1, 2, p in descending order. p, 2, 1 Let i = -31 + 43. Suppose 4*z + 0*z = -i. Put z, -2, 5 in decreasing order. 5, -2, z Let i = -27.15 + 18. Let p = 9 + i. Let u = p + -0.05. Sort -2, -0.1, u in descending order. -0.1, u, -2 Let i be 3/(4 + (-9)/3). Suppose -p - i*p = -16. Sort p, 1, -2 in decreasing order. p, 1, -2 Suppose -r - 12 = 2*r, r - 8 = 3*w. Let s = 1 - 6. Sort w, s, 0.3. s, w, 0.3 Let k = -89/4 + 22. Put -1/3, 4, k in decreasing order. 4, k, -1/3 Suppose j = g + 18, 6*j = j - g + 108. Let u be 6/(-2)*(-28)/j. Sort 1, -3, u in descending order. u, 1, -3 Let k be ((-6)/(-4))/((-2)/4). Sort 4, -1, k in descending order. 4, -1, k Suppose t + 10 = -t. Let q = t + 7. Sort -4, q, 1 in increasing order. -4, 1, q Let d(y) = -2*y - 3. Let f be (-24)/(-4)*(-2)/4. Let k be d(f). Put 4, k, -4 in decreasing order. 4, k, -4 Let p = -14 + 12. Sort 7, 3/4, -4, p in descending order. 7, 3/4, p, -4 Let y be (8/12 - 0) + (-22)/6. Let u = -1 + 3. Suppose 0 = -4*o - u + 22. Put o, 3, y in decreasing order. o, 3, y Let q = 0 + -1. Let o(a) = -7*a**3 + 2*a**2 - 1. Let m be o(q). Suppose -4*v = -6*v + m. Sort v, 5, 1. 1, v, 5 Let x = -6/5 - -7/10. Put 0.5, x, 2/13 in descending order. 0.5, 2/13, x Suppose -5*r = -6*r + 1. Let u be (2/18)/(r/2). Let w be (4 - (-3 + 3)) + 0. Sort u, 1, w. u, 1, w Let k be 11/(-3) - (-2)/3. Let m(d) = d**2 + 5*d + 5. Let x be m(-5). Sort -1, x, k in descending order. x, -1, k Suppose 8*v - 15 = 5*v. Let w be 1 + -4 + (5 - 5). Sort -5, w, v in decreasing order. v, w, -5 Let t be (-3)/(12/4)*-8. Suppose 30*x - t = 34*x. Suppose 0 = 4*b + 5*u - 8, 2*u + 3*u = -5*b + 10. Put 0, b, x in descending order. b, 0, x Suppose 0*l - 7 = p - l, 5*l - 29 = 3*p. Put -6, p, -2 in increasing order. -6, p, -2 Suppose -3*y = -3*v - 24, 0*y - v = -4*y + 17. Sort 4, y, -11 in ascending order. -11, y, 4 Let b = 40 - 35. Sort 0.5, 0.3, b in ascending order. 0.3, 0.5, b Let s = 0.001 - 0.001. Sort s, 2/27, -0.3, -1 in increasing order. -1, -0.3, s, 2/27 Let c = 123 - 1231/10. Sort c, 5/3, 2/15. c, 2/15, 5/3 Let b(d) = -2*d**2 - 18*d - 1. Let z be b(-9). Let u(y) = y**3 + 5*y**2 - 6*y + 5. Let l be u(-6). Sort l, z, -3. -3, z, l Suppose -w + 20 = 3*w + 3*z, 3*w + 14 = 5*z. Sort w, 0.1, -0.4 in increasing order. -0.4, 0.1, w Let w(q) = -q**2 - 3*q + 3. Let o be w(-4). Let l = 0.9 - -2.1. Let y = 1 + l. Put 0.3, o, y in ascending order. o, 0.3, y Suppose -9*p + 4 = 103. Put 0, 2, p in decreasing order. 2, 0, p Suppose 3*m = -3 - 0. Put 3, -3, m in descending order. 3, m, -3 Let g be (-8)/32 + 42/104. Let f be (7/(-168))/(1/(-3)). Suppose 0 = -3*l + 3, -4*y - 4 = -2*y + 4*l. Sort f, y, g in descending order. g, f, y Let z = 14 + -12. Sort -0.4, z, -4/5. -4/5, -0.4, z Let t = 4 + -2. Suppose 0 = -3*v - 3*r - 12, 44 = -3*v - 2*r + 7*r. Let a be ((-20)/v)/(2/4). Sort a, -3, t in increasing order. -3, t, a Let s = -0.22 + -4.78. Sort s, -6, 0.4 in decreasing order. 0.4, s, -6 Let d(j) = -j**2 - j. Let v be d(-2). Let b(r) = 3*r + 3. Let c be b(v). Let q be ((-12)/9)/(2/(-3)). Sort q, 0.03, c in decreasing order. q, 0.03, c Let g(i) = -4*i**2 + 1. Let d be g(1). Let y(j) = -4*j + j + 2*j. Let v be y(1). Sort v, d, 0. d, v, 0 Let z = 2.6 - 1.96. Let o = z + -0.14. Put o, 0.1, 4 in descending order. 4, o, 0.1 Let l = 0.29 - 0.29. Put -4/9, 5, l in ascending order. -4/9, l, 5 Let f = -35 - -38. Sort 4, -1, f. -1, f, 4 Suppose -3*m - 10*m - 52 = 0. Sort m, 1/5, 2 in descending order. 2, 1/5, m Let g = -22 + 36. Suppose 6*r + 1 = 5*r. Sort -4, r, g in ascending order. -4, r, g Let y be 16/(-105) + 2/7. Let m = -0.7 + 0.2. Sort 2/9, y, m. m, y, 2/9 Let a = 17 + -16. Sort 2, a, 3, -16 in descending order. 3, 2, a, -16 Let p = 6 - 3. Let h = -1 + p. Suppose 5*g - 11 = 3*z, -h*g - 2*g - 2*z = 0. Put -3, -5, g in decreasing order. g, -3, -5 Let w = -0.1 - 1.9.
{ "pile_set_name": "DM Mathematics" }
/95. Is k less than c? False Let z(i) = 3*i**3 + 3*i**2 - 4*i + 4. Let f be z(2). Let m be ((-33)/(-6))/((4/f)/1). Is 43 < m? True Let x(q) = -6*q**2 - 37*q - 17. Let l be x(-6). Does l = -13? False Let i be 3/(-1) - (136/72 - 2). Which is smaller: i or 0.1? i Let x be (6 - (-284)/36) + -9. Which is smaller: x or 6? x Let j = -0.0936 + 45.3936. Let v = j + -46. Is 0 > v? True Let f(i) = i**3 + 6*i**2 + 8. Let k be f(-6). Let v be (22 + -2)*(3 + (-44)/16). Suppose v*b - 2*q - 34 = 0, 0 = -5*b + 3*q + 50 - 19. Is k at most b? True Let n = 7/3 - 44/15. Let t be (-1)/(-3 - -4 - 8/4). Let d be ((t - 1)*(-7)/14)/1. Is d smaller than n? False Let v = 38389/30 + -2559/2. Let f = -4 + 3.7. Let h = f - -0.4. Does v = h? False Suppose z - 56 = 9*z. Is -5 bigger than z? True Let c be (4 - 2)*(-1)/(-2). Let j = 44/39 - 1784/1443. Let w = 29/74 - j. Is c equal to w? False Let i = 437 - -318. Is i at most as big as 755? True Let j = -38 + 53. Let r = 2.54 + -2.34. Is j at most as big as r? False Suppose 4*d - 76 = -52. Which is greater: 39/7 or d? d Let x be (-4160)/12912 + (-4)/(-12). Are x and -1 non-equal? True Let u be -4*((-136)/32 + 4). Is u > -2/15? True Let n = -152 - -245. Which is smaller: n or 1/3? 1/3 Let h(i) = -2*i - 2. Let x be h(-3). Suppose 3*a + 10 = x. Suppose 0 = 14*q - 17*q - 6. Is a < q? False Let v = -1031 + 31955/31. Suppose 0 = -3*x - 3*o, -o - 2*o = 5*x. Which is smaller: x or v? v Let j = -20797 + 6093515/293. Let l = j - -1274/4981. Let f be (-1*1)/(2 + -1). Which is bigger: l or f? l Let t be (1 - 1) + 3 + 0. Suppose t*s + 72 = 27. Let w be 1*(11/22)/(2/(-60)). Are w and s equal? True Let c(d) = 2*d**3 - d**2 - 3*d - 2. Let g be c(-2). Let t = g - -3. Suppose -6*z - 87 + 9 = 0. Is z smaller than t? False Suppose 13 + 23 = -4*t. Is t < -15? False Let y = 1367 + -1359. Is 36/5 greater than or equal to y? False Let u = -4/489566641 - 10030730761977/17804559599888. Let k = u - -2/2273. Which is smaller: k or 0? k Let l = 22 + -19. Let o(w) = 5*w - 8. Let t be o(l). Let z = 13 + -7. Are t and z nonequal? True Suppose -f = -4*d - 2871, -2*d + 3*d + f = -719. Let h = -35184/49 - d. Which is greater: h or 1? 1 Let c be (13 + -3)/((-4)/(-32)). Let l be 3/118*c/60. Let m(q) = q**3 + 3*q**2 + q + 2. Let y be m(-3). Which is bigger: l or y? l Let q be 0 - 3487/3870*-1. Let r = q - 2/1935. Which is smaller: 0 or r? 0 Suppose -55 = -o - 3*k, 299 - 35 = 4*o + k. Is o at least 67? True Let u = -85 + 151. Are u and -0.6 non-equal? True Let z be 2*-1 - 19/(-5). Let i(j) be the second derivative of -j**3/2 - j**2/2 - 12*j. Let l be i(-1). Do l and z have the same value? False Let k = -0.21 + -12.79. Let u = 14 + k. Is -1.2 at least as big as u? False Suppose 5*c + 21 = 11. Let d(k) = k**2 - 3*k + 2. Let r be d(1). Is c > r? False Let i be (9/18)/(2/(-184)*2). Is i at least -20? False Suppose 3*f - 2*u = -43, 4*f + 0*f = 2*u - 58. Let y(o) = o**2 + 16*o + 15. Let a be y(f). Is a at most as big as -5/6? False Let m = -78 - -75. Which is bigger: m or 11? 11 Let o(w) = -w**2 - 2*w + 4. Let p be o(-3). Let r be p/(-18)*3/35. Let f = -6/35 - r. Which is smaller: f or 1? f Let d be (14*-49)/(-19 - -20). Is d bigger than -684? False Let p be (-2620)/(11 + -21) + 6. Is 268 at most as big as p? True Suppose 36*u - 34*u = 226. Which is smaller: u or 0.1? 0.1 Let m be (8 - (-180)/(-24))/(2/20). Suppose 2*y - 5*o + 120 = 0, 3*y = -0*y - 3*o - 138. Let j be y/72 + m/20. Does 1 = j? False Let a be 1 + (-2 - (-6)/8). Let o = 43 - 28. Let h = 14.98 - o. Is a != h? True Let f = -9 - -7.3. Let s = f - -0.7. Let w = -8 + s. Which is smaller: 0.1 or w? w Let c = 18 + 52. Suppose 6*a - a - c = 0. Which is greater: -1 or a? a Let r = 2353 + -1815. Which is smaller: r or 0.2? 0.2 Suppose 2*k = -5*v - 3, 0*k + 3*k = -3*v. Let c be -2 + (9 - 3) + -8. Let b be (-2 + 18/4)*c/(-25). Which is greater: b or v? b Suppose 2*q + 7 = -1. Let o(f) = -f**2 + 15. Let i be o(q). Which is bigger: i or 4/71? 4/71 Suppose -80*p + 78*p - 5*m = 17, 0 = -4*p + 2*m + 2. Which is smaller: 18/79 or p? p Suppose 2*p + r = 243926, -2*p + 3*r = 103132 - 347050. Let k be -10*p/301869 - -4. Let f = 2/1973 + k. Which is bigger: -1 or f? f Let x = -0.2 + 0.18. Let d = -32983/5 - -6598. Is d at most as big as x? False Let f be (-6 + 0)*(3 + 8). Which is greater: -65 or f? -65 Let b = 965 - 5791/6. Is b > -3/5? True Let v = -2775 + 2776. Which is smaller: v or 2/87? 2/87 Let r = -31 - -31. Let p = r - -2. Is -1/4 < p? True Let j = 14431/6498 - -1/722. Let h = j - 136/45. Which is smaller: h or -2? -2 Suppose 4*k = -9 - 15. Suppose 3*b + p = 2*b - 10, 3*b - 3*p = -12. Which is smaller: b or k? b Let q(y) = 9*y - 111. Let z be q(5). Which is bigger: z or -65? -65 Let h be (-14)/(-70) - (-2 + 23/15). Let z = 12 - 6. Suppose -3*c = -6*c - z. Which is smaller: c or h? c Let l be -6 - (-59)/(-7)*12. Which is greater: -106 or l? -106 Suppose -4 = q + 3*q. Let g be 2*(q/2 + 1). Which is greater: -1/11 or g? g Suppose 0 = -5*p - 5 - 0. Let m be 262 + -7 + (3 - p). Let h = m - 2851/11. Which is greater: h or -1? h Let k = -41 + 0. Let t = -579 - -1739/3. Which is smaller: k or t? k Let t = -375 + 374. Let k = -205 - -4101/20. Let l = k - -3/4. Is t at least as big as l? False Let k = -6.19 + 8.19. Let g = 0.09 - -0.61. Does k = g? False Let n be (14/(-2)*1 - -61)/(-2). Are n and -44 equal? False Let t = -54 + 28. Suppose 13*b + 4414 - 4089 = 0. Which is greater: t or b? b Suppose -564 = -2*d + 40. Is d greater than 302? False Let y(q) = q**3 - 13*q**2 + 13*q - 10. Let i be y(12). Let v be (-1)/(0 - ((-2)/2 + i)). Is v != -1/7? True Let d = 0.2 + -0.13. Let h = -117 + 119. Let p = -1 + h. Is p less than d? False Suppose -11*s + 33 = -14*s. Let h = -15 - s. Let m be 12/8*h/138. Which is greater: 0 or m? 0 Let k be -1*(-4)/8*0. Suppose 5*d - 3 + 8 = k. Let a(f) = -2*f + 1. Let q be a(d). Which is smaller: 0 or q? 0 Suppose 7*d + 340 - 340 = 0. Let u(s) = -s**2 + s - 1. Let b be u(5). Let g be 4*(2 + b/10). Is d at least g? True Let w be 115/(-4) - (-1)/(-4). Let p = w - -24. Is p bigger than -5? False Let f(g) = g + 3. Let v be f(-8). Let m(b) = 3*b**2 + 32*b - 8. Let r be m(-11). Suppose r*i = -32 + 26. Is v bigger than i? False Suppose -3*r = -b + 3 + 1, 3*r - 1 = -4*b. Which is bigger: -1/52 or r? -1/52 Suppose 2*s = 8 + 4. Suppose -s*l - 11 = -o - 2*l, 2*o = 5*l + 13. Which is smaller: -1/5 or o? o Suppose 4*o + 32 = -5*z, -6*z = -o - 9*z - 1. Is o less than -12? True Let z be ((-4)/(14 + 2))/(3 + -2). Are z and -4/7 non-equal? True Let w = -22/43 - -458/559. Let v = w + 14/39. Is 1 bigger than v? True Let i = -1277/2 + 98325/154. Suppose -3*s = 8 + 4. Let p be -1 + (-3 + 1 - s). Is p smaller than i? False Let i be (-3)/(-9) - 20*(-20)/24. Let k be 10/3*(-48)/(-10). Let r = k - -1. Is r != i? False Suppose 3*m + m = -i - 15, i - 17 = 4*m. Let g(x) = -2*x**2 - x - i - 3*x**2 + 4*x**2. Let n be g(0). Is -1 > n? False Let c(r) = 14*r**2 - 10*r - 15. Let h be c(-11). Let g = h - 12545/7. Suppose 1 = -4*x - 15. Which is smaller: g or x? x Suppose -l = -6*l + 25. Suppose 1 = 2*b - d - 6, -l*d = 25. Let o be (-3)/6 - 22/(-28). Which is smaller: o or b? o Let s be 8/28 - (-122)/14. Let u(a) = a**2 + 4*a - 5. Let r = 11 - 17. Let x be u(r). Is s at most as big as x? False Let r = -10 + 18. Do 10 and r have the same value? False Let c(j) = 2*j**2 - 4*j. Let b be c(4). Let d = b - 13. Let h be (2*d/(-12))/(-5). Which is bigger: -1 or h? h Let w = 0.9 + -1. Suppose -4*b + 2 = -11*x + 13*x, 0 = 3*x + 5*b. Which is smaller: w or x? x Suppose 6*s = 3*s - 4*g - 16, 0 = 5*g + 20. Suppose s = -a + 5. Suppose -p - i = -8, -p + 4*i = -2 - 1. Which is greater: a or p? p Let g = -5/48497 - 243503407/290982. Let y = -820933/981 - g. Let r = 2179/1962 + y. Is r less than or equal to 0.1? False Let i = -89 + 89.6. Is 1.4 at most i? False Let h(w) = w**3 + 15*w**2 - 15*w + 16. Let s be h(-16). Which is smaller: s or 2/497? s Let c(s) = -6 - 1 - 2*s + 3*s. Let v be c(0). Let a be 3/(-12)*(-4)/v. Which is greater: -0.3 or a? a Let u = 1055.446 - 2.446. Let a = -1048.29 + u. Let d = a - -0.29. Which is smaller: 0 or d? 0 Let w be (844 + 0)*59/236. Which is smaller: 0 or w? 0 Let g(l) = 6*l**2 + 4*l - 3. Let b be g(1). Suppose -5*q + 8*q
{ "pile_set_name": "DM Mathematics" }
.2 (c) -4 c Let i be (-5955)/(-20) - (-4)/(-1). Let d = 454733/1548 - i. Which is the nearest to d? (a) -1 (b) 3 (c) 2/5 c Suppose 18*l + 30 = 4*z + 15*l, 0 = 2*l + 12. What is the closest to 0 in 2, -0.1, -5.6, z? -0.1 Let w = 4455 - 4487. Which is the nearest to -2/7? (a) w (b) -2/11 (c) -3 b Let h = -288.3 + 289.9. What is the closest to 1 in 1, h, 4? 1 Let q = -1.5 - -1.5. Let t = 205 + -202. What is the nearest to -1/8 in q, t, -0.5? q Let c = -1814 + 1811. What is the closest to 8.4 in c, 4, -1/4, -2/9? 4 Let p = 10257 + -10261. What is the nearest to -2/5 in 3, 345, p? 3 Let k = 5.2 + -2.5. Let v = 18 + -15. Let g = k - v. Which is the closest to 2/17? (a) -5 (b) g (c) -3 b Let w = -43233 + 43233.4. Let d(x) = x**3 + 3*x**2 + 1. Let i be d(-3). What is the closest to i in 0.2, w, -2/11? w Let d = -4079.59 - -4081. What is the closest to d in -2/5, -1/3, 2/11, -3? 2/11 Let g(h) = -h**3 - 8*h**2 + h + 21. Let m be g(-8). Suppose 8*j = m*j - 20. Let v be 0/(0 + (-1 - -2)). What is the nearest to -2 in -1, j, v? -1 Let u(m) = -8*m - 1400. Let k be u(-175). Let l = 3.01 + -0.01. Let c = -1 - l. What is the closest to k in c, 1/8, 1? 1/8 Let a(q) = q**3 + 11*q**2 + 5*q - 122. Let k be a(-5). What is the nearest to -3 in k, 15, 3/5, -1? -1 Let u = -18725/3 + 6243. What is the nearest to 11 in 34, -1, u? u Let c = 76/3 - 26. Suppose -4*m + 2 = 2*a, 8*m - 2 = 10*m. What is the closest to c in 2/13, -1/5, a? -1/5 Let s = -24433 + 1710353/70. Let t = s + -3/14. Which is the closest to t? (a) -2/7 (b) -11 (c) 5 a Let y be -1*(-1)/(-3)*-2. Let j = 2.3976 + -2.4976. What is the nearest to j in y, -24, 0.4? 0.4 Let o be (2*(-4)/6)/(57/5643*33). Which is the closest to 6? (a) 3 (b) -22 (c) o (d) 4 d Let s = -57787 + 57790. Let z = -1 - -1.02. What is the nearest to z in s, 5, 1, 0.4? 0.4 Let h be (-1)/2*2/4. Let q = -15971/143742 - 1/431226. Which is the closest to h? (a) -0.06 (b) -1/2 (c) -2/5 (d) q d Let j = 8.06 + -8. Let n be 2/(20/15)*(-1 + 10/6). What is the nearest to -1/2 in n, 0.1, j? j Let s = 503.4 - 506.4. What is the closest to 1.3 in 5, 13, s, 3/2? 3/2 Let l = 0.02799 - 0.04799. Which is the closest to 2/5? (a) l (b) -5 (c) 6 a Let r = -2.2383 - -2.3383. Let a = 1/29 + 49/261. What is the closest to -0.1 in 0.01, r, a? 0.01 Let w = 23.4 + -25.4. Let l = -2395 - -2394. Which is the closest to l? (a) w (b) 5 (c) 3 (d) 1 a Suppose 24*w + 11 - 71 = 12. What is the closest to -2 in 0.2, w, 0.6, -2/55? -2/55 Let q = 603.18 - 688.4. Let a = -6264 - -6179. Let s = a - q. What is the closest to 1/2 in s, -4, 3? s Let n = 8.7 - 8.21. Let o = 0.479 - n. Let p = o + 0.111. Which is the closest to p? (a) -4 (b) 4 (c) -1/4 c Let c = -133.6 + 128.6. What is the closest to -0.2 in -23, c, 2, -0.1? -0.1 Let j = 0.1 + 0.2. Let o = -107 - -319/3. Let r = 329/3 + -108. Which is the closest to -0.1? (a) o (b) j (c) r b Let w be (-1 + (-10)/(-8))*-2. Let t = 0.0103 - -44.0897. Let q = -38.1 + t. Which is the nearest to 0? (a) w (b) -2/5 (c) q b Let w = 2 + 30. Suppose 5*s + 4*p - w = 0, 4*p - 16 = -2*s + s. Suppose s*m - m = 6. Which is the nearest to 1/2? (a) 5 (b) m (c) 2/7 c Let p = -1824 - -1824.1. Which is the closest to 1? (a) 1 (b) 2127 (c) p a Let q = -0.1277 + -0.2723. What is the nearest to 10 in -1, q, 41? q Let n be 252/(-27)*216/64. Let p = 42 - 10. Let m = n + p. Which is the closest to -19? (a) 5 (b) m (c) 1/7 c Suppose -2*g + 5*g - 40 = -2*h, 0 = 2*g - 8. Let s = -14 + h. Let l be ((-6)/(-14))/((-8)/7). What is the nearest to s in -0.3, l, 0.2? 0.2 Let c = -178 - -170. Let r be (-15)/35*c/(-12). What is the nearest to -18 in 0.1, r, 1/8, -1? -1 Let m = 83/40 - 53/24. Let a = 24479/23 - 1064. Let o = 95/161 - a. What is the nearest to -6 in o, m, 5? m Let w = -1196.3 + 1196. Let l = 44 - 42. Which is the nearest to l? (a) w (b) 0.3 (c) -2 b Let z(q) = q**2 - 14*q + 11. Let d be z(12). Let o(a) = a**3 + 16*a**2 + 42*a + 40. Let m be o(d). What is the closest to 5 in m, 3/2, -4? 3/2 Let l(i) = -i**3 + 22*i**2 - 83*i - 6. Let h be l(5). Which is the closest to 0.2? (a) 6 (b) 2/11 (c) 7 (d) h b Let z(h) = h**3 + 6*h**2 + 5*h + 1. Let l be z(-5). Let f = 99.22 + -99.42. What is the nearest to f in -4, 2, l? l Let z = 7.324 + -11.324. What is the closest to -0.1 in 2, -1, z, 5? -1 Let j = -0.711 - 330.289. Let u = 330 + j. Let w = 8.9 - 9. What is the closest to w in u, 5, 1/4? 1/4 Suppose 83*x = 42*x - 164. What is the closest to x in 4, 1, 2, 1/3? 1/3 Let b = 29 - 19. Let k be (-7)/(588/(-1152)) + -14. What is the closest to k in -0.5, b, 2/3? -0.5 Let a = 4923 - 4954. Let d be (3/(-6)*-1)/2. What is the nearest to 1 in d, a, 0.2? d Let v = 184.952 + 0.048. Let u = v + -191. Which is the nearest to 0? (a) u (b) -0.3 (c) 0.06 c Let r = 38 - 34. Suppose -d + 40 = -3*t, -90 = -r*d - 2*t - 0*t. Suppose -d = -w - 23. Which is the nearest to -0.1? (a) w (b) -1/11 (c) -1/2 b Let i = 137.63 - 137.23. Let t = 105/4 + -913/36. What is the closest to t in -5, -0.3, 1, i? 1 Let y = -655 - -656. What is the closest to -3/2 in y, 8, -1? -1 Let o be 285/180 + 100/(-30) - 134/(-40). Which is the nearest to 2? (a) -0.06 (b) o (c) -2/13 (d) 1/3 b Let i be ((-16)/16)/((2*-1)/8). Let s(d) = d**2 - 16. Let t be s(i). Let r be 0/(-3) - (t - 1)/3. Which is the nearest to 2? (a) 5 (b) 0 (c) r c Let r = -49811 - -49816. Let i = -0.1 + 0. Which is the nearest to 2? (a) 0.3 (b) 2/9 (c) r (d) i a Let u = 37.814 - 38. Let v = u + -0.114. Which is the closest to -3/5? (a) 1/3 (b) v (c) -5 b Let l be 2/((-20)/85)*(-24)/6. Let s be (-380)/(-340) - (4/l - 0). Which is the closest to -18? (a) -0.3 (b) -4/7 (c) s b Let x = 17.482 + -17.382. Which is the closest to x? (a) 100 (b) -4 (c) -8 b Let x be 38/76*6/28. Let m = x + -43/140. Which is the closest to -5? (a) m (b) 0.4 (c) -2/9 c Let f be (1/(-2))/(250/250). Which is the nearest to 1/6? (a) f (b) 135 (c) 3 a Let g = -325.6412 + 0.1412. Let a = g + 325. What is the closest to 0 in a, -0.1, -1? -0.1 Let l = -0.235 - -0.281. Let o = l + 0.454. Which is the closest to -1/6? (a) 5 (b) o (c) 0.1 c Let h be (6 - 17 - -14)*1. Which is the nearest to 0.1? (a) 0.3 (b) h (c) 2/11 (d) 0 c Suppose 1681*g + 14 = 1674*g. Let h = -15 + 19. Which is the closest to g? (a) h (b) -2/7 (c) 3/8 b Let g = -7 - -6. Let i = -421 - -425. Let l = 1.8 + -1.4. What is the nearest to 2 in l, i, g? l Let u = 16090.01 + -16090. Let i = 7.5 - 8. Let q = 12.9 + -12. Which is the nearest to 0.1? (a) i (b) u (c) q b Let x(g) be the second derivative of g**3/6 - 21*g**2/2 - 94*g. Let y be x(11). Which is the closest to 0? (a) 3 (b) y (c) -1 c Let r = 0.2 + -0.5. Let l = -3.19 + 0.75. Let p = l + 2.74. Which is the nearest to p? (a) -0.2 (b) -1 (c) r a Let n = -4.2 + 0.2. Let c = -2.915 - 0.085. Let o = 0.01 + -0.51. What is the nearest to c in n, -0.03, o? n Let s = -6 + 10. Let r = -202 + 200. Let i = -4.15 + -0.85. Which is the nearest to s? (a) i (b) r (c) -0.3 c Let s = -21523 + 21519. Which is the nearest to s? (a) -3 (b) 3/8 (c) 6.4 a Let l = 2.57 + -0.52. Let q = l - 0.05. Let h be -21*6/198*2/(-7). What is the nearest to q in -8, 4, h? h Let c = -37538.1 - -37538. Let g = 0.4 - 4.4. What is the nearest to -11 in g, c, 3? g Let x = 88 + -38. Let m = 53 - x. Which is the nearest to 0? (a) m (b) 2 (c) -4 b Let t = -1083.7 - -1083.85. Which is the nearest to t? (a) -1/2 (b) 0.2 (c) 5/2 (d) 4 b Let x = -0.7919 + 0.0579. Let k = -0.734 - x. Which is the nearest to k? (a) -5 (b) 0 (c) 1/2 b Let d(s) = s**2 + 121*s - 2675. Let l be d(19). Which is the closest to -1/2? (a) 8.2 (b) 1 (c) l b Suppose -2*p + p - d - 4 = 0, 4 = -4*d. Let j be (136 + -133)*32/12. Which is the nearest to j? (a) 0 (b) p (c) 1/5 c Let v be 18/4*8/(-6). Let z be ((-10)/v - 1)/5. Suppose 456*u + 2*l = 461*u - 14, 0 = 2*l + 14. What is the closest to z in 0.2, -2/7, u? 0.2 Let b be 6 + 3/18 + 8755/(-1410). What is the nearest to -0.1 in 1/9, b, 0.1, 5? b Let x = 47536 - 47536. Let m = -14 + 10. What is the closest to 20/3 in m, x, 2/11? 2/11 Let y = -3.138 - -2.738. What is the closest to y in 0, 1/3, 4/7? 0 Let b = 346.3 + -347.3. What is the nearest to 0 in -0.1,
{ "pile_set_name": "DM Mathematics" }
6 10/(-1920)*-24*-8 -1 476/(-119)*(-3)/(-6) -2 Evaluate ((1/6)/(35/(-105)))/((-6)/(-28)). -7/3 Calculate (-1215)/(-30)*(-2)/3*1. -27 Calculate (4/(-20)*-1)/(10/650). 13 What is (6/(288/56))/(35/15)? 1/2 Calculate (8/10)/(-10*7/(-4375)*-5). -10 Calculate ((-9)/12)/(177/118)*14. -7 ((-12)/120*5)/((20/96)/(-5)) 12 Evaluate ((-3)/(-162)*4)/((-44)/(-66)). 1/9 Calculate 18/(-24)*(-8)/(-66). -1/11 Calculate (11/(990/(-36)))/(-1*(-2)/3). -3/5 -10*3/(-9)*((-14850)/625)/33 -12/5 (-42)/(-84)*(-36)/2 -9 What is ((-5850)/135)/(-26)*36/(-15)? -4 What is -15*23*(-10)/(-345)? -10 What is 18/945*-7*6? -4/5 Evaluate 110/33*1*2/4. 5/3 Evaluate ((-1)/(160/(-30)))/((-1)/(-8)). 3/2 Calculate (-32)/(-2)*(-2)/7*21/12. -8 Calculate ((-70)/28)/(((-114)/(-36))/19). -15 (-104)/637*35/(-4) 10/7 Evaluate 135/(-36)*(-8)/(-3). -10 Evaluate ((-14)/12)/(-2*(-833)/(-42)). 1/34 (-3)/(3/(21/35)*1) -3/5 What is the value of 3/(((-60)/(-1260))/(((-8)/(-7))/4))? 18 (20/45)/((48/18)/(6/6)) 1/6 What is the value of 12*30/4*5/30? 15 What is (-28)/(30/(-180)*-8)? -21 (19/285*-5)/(-11) 1/33 Calculate (-7)/(-2)*(-80)/(-42)*(-129)/86. -10 Evaluate ((-192)/28)/6*(294/72)/49. -2/21 Calculate ((-82)/(-82))/(2*-1). -1/2 (165/(-231))/(10/(-140)) 10 What is the value of (6/(-10))/(-208*28/(-4480))? -6/13 What is the value of 176/(-6)*1566/(-4176)? 11 (-480)/(-10)*(5/10)/(15/(-10)) -16 -5*((-272)/85)/(-2) -8 Evaluate (2/(-21))/(-1*(-1)/(42/(-6))). 2/3 Calculate (-17)/((-51)/18)*(-28)/12. -14 Evaluate (29/29*1*5)/(-1). -5 Calculate (7/(147/24))/((-1)/(63/18)). -4 What is the value of ((-25)/(-5))/(70/(-28))? -2 -5*31/(2635/272) -16 What is the value of (48/20)/(-3)*340/(-1632)? 1/6 (-10)/(-8)*408/5865 2/23 (-294)/1568*18/27 -1/8 What is ((-14)/(-140)*75/(-10))/(-2)? 3/8 Calculate (2/(-87)*-3)/(3*18/(-81)). -3/29 Evaluate (-53713)/(-1542)*(-2)/(-38). 11/6 (16/2640)/((-4)/(-36))*40/6 4/11 What is 5*-1*(6/4)/((-18)/(-12))? -5 What is (16/8*-4)/(-1)? 8 What is the value of (-13240)/(-4965)*6/(-52)? -4/13 What is the value of (120/(-80))/(1/((-4)/3))? 2 55/(-33)*12*(-7)/((-245)/14) -8 (-4)/(-40)*15*16/(-6) -4 What is 1/5*(-19)/((-1254)/60)? 2/11 (-27)/(-9)*((-27)/90)/((-12)/(-5)) -3/8 Evaluate 1/2*(-47034)/(-871). 27 ((-18)/(-150)*5)/((-32)/(-160)) 3 What is the value of ((-234)/130)/(2*(-15)/(-50))? -3 Evaluate ((-2)/(-10))/(96/((-83520)/(-1102))). 3/19 (-2*2)/(((-63)/42)/3) 8 What is ((-9)/(-264)*2)/((473/(-88))/43)? -6/11 -5*-8*(-14)/(-840) 2/3 Evaluate (-3)/(-10)*3*(-1425)/285*-4. 18 Calculate 1/(-14)*90/(-40)*(-8)/(-3). 3/7 Evaluate (-20*2/(-50))/(32/(-1360)). -34 Evaluate (-465)/9300*(-25)/(-2). -5/8 ((-1)/8)/(((-8568)/(-192))/(-51)) 1/7 (2/3)/(((-4)/(-7))/(12/1)) 14 What is ((-2)/(-20))/((-2452)/49040)? -2 (-28890)/(-8025)*5/(((-2)/(-2))/1) 18 Evaluate -1*(0/4)/(-4). 0 What is the value of ((-64)/(-6))/(394/591)? 16 What is ((-372)/(-434))/(-1*(-6)/63)? 9 Evaluate (((-3)/3)/(-75))/((-273)/(-910)). 2/45 Evaluate (11/(495/(-6)))/(380/855). -3/10 What is 3/6*22/(-1001)*-7? 1/13 Calculate ((-35)/15)/(7*(-12)/360). 10 Evaluate (-84)/126*(-363)/11. 22 What is (-12*15/(-1350))/(112/(-40))? -1/21 Calculate ((-8)/(-24))/(3/(-4)*(-66)/(-3267)). -22 Calculate 3/(-16)*8/(144/3). -1/32 (12/(-22))/((-17)/((-19448)/(-702))) 8/9 Calculate (12*14/630)/((-138)/(-15)). 2/69 Evaluate 204/272*(-4)/138*-6. 3/23 Calculate ((-32)/(-160))/((4*3/(-240))/(-2)). 8 121/(-121)*33/(-6)*-2*1 -11 What is (-39)/(8463/(-62))*2*1/12? 1/21 What is the value of 1/(-3)*(-7)/(7*3/(-189))? -21 Evaluate (2/(-6))/((165/55)/((-45)/70)). 1/14 ((-182)/(-28))/(6*(-6)/72) -13 Evaluate (-1)/((21/(-3))/133). 19 Evaluate (608/(-24))/(72/54). -19 Evaluate (2/31)/(186/31)*-6. -2/31 Evaluate 25/(-150)*(-6)/28. 1/28 Calculate -11*((-2)/2)/((2475/162)/25). 18 Calculate ((0/(-2))/(165/55))/(2*2). 0 Calculate 33/(-99)*(-132)/4. 11 Calculate ((-48)/16)/((-3)/6*-2*-3). 1 Evaluate 2*(-5)/((-1760)/12)*8/3. 2/11 (-11)/(220/(-70))*(-32)/(-168) 2/3 What is ((192/(-8))/(-8))/((-6)/10)? -5 Evaluate (-6)/(-9)*(-1)/2. -1/3 What is the value of (67/402)/(2*1/(-30))? -5/2 Evaluate (-25)/(-20)*14/(-70)*11. -11/4 What is the value of 8253/1834*(-1)/15? -3/10 What is the value of (-6)/21*4*2/18*9? -8/7 What is the value of 1892/3311*14/(-20)? -2/5 What is the value of (-6)/((-37)/((-111)/(-6)))? 3 -1*(-3)/36*(-78)/(-26) 1/4 Calculate ((-133)/(-57))/(75/(-675)). -21 Evaluate (-182)/(-130)*35/14*1*-2. -7 Evaluate (10/(-45))/((2323/(-276))/(-101)). -8/3 Evaluate ((-4)/16)/(9/(-12)*(-3)/(-99)). 11 Calculate ((-270)/675)/((-17)/(-5)). -2/17 What is (56/2)/(3904/2440*(-10)/(-8))? 14 What is the value of (25/100)/((-81)/(-72))? 2/9 -5*(-30)/(-75)*(-5)/(-4)*2 -5 What is the value of -2*(7/(-42))/(45/81)? 3/5 What is (4*3/(-66))/((-112)/(-2464))? -4 Calculate ((-1)/5)/1*((-3528)/21)/24. 7/5 ((-24)/(-10)*75/1320)/(9/4) 2/33 What is (20/(-120)*-4)/(5/150)? 20 Evaluate ((-2)/(-28)*(-119)/34)/(20/112). -7/5 Evaluate ((1152/40)/(-12))/(4/(-20)). 12 30/(1*12/(-20)*-5) 10 Calculate (4/256*8)/(76/(-32)). -1/19 Evaluate (2/((-20)/(-9)))/((-81)/27). -3/10 Evaluate (-9*(-24)/(-270))/((-2)/60). 24 Calculate 12*2*(-4)/(-12)*(-528)/(-176). 24 Evaluate ((-2)/7)/(((-3)/(-7))/((-13)/(-39))). -2/9 Calculate (-5)/(-70)*(-12)/10*100/(-12). 5/7 Calculate (-8)/2*56/56. -4 What is the value of (2/((-1040)/(-15)))/(11/(-748)*-17)? 3/26 Evaluate ((1150/299)/(-25))/(172/(-26)). 1/43 Evaluate (-4)/(-54)*(-105)/(75/15). -14/9 What is -2*(-322)/92*3/(-7)? -3 What is (-252)/(-21)*(-1)/2? -6 (-27)/135*10*(-2)/16*3 3/4 Evaluate ((-1)/(-20))/(((-17)/(-170))/(36/(-96))). -3/16 What is -6*(-4)/42*(-9)/(-2)? 18/7 What is the value of 1575/(-5250)*55/(-9)? 11/6 Calculate (-48)/((-25920)/(-54))*0/1. 0 Calculate -3*15/40*(-8)/30. 3/10 Evaluate ((-4)/(-18))/(378/18711). 11 Evaluate (38/(-665)*21)/(4/(-80)*-4). -6 Evaluate (12324/(-711))/((-8)/6). 13 ((-20)/(-5))/(-35*(-60)/75) 1/7 What is ((8/(-6))/((-392)/490))/(15/54)? 6 -1*(400/(-15))/(-8)*3/(-2) 5 (6/(-21))/((16/(-4))/(-28)) -2 Calculate (2/(-66))/(3*3*15/405). -1/11 Evaluate (352/198)/(4/18)*7/42. 4/3 What is the value of 45/(-84)*(-861)/(-738)? -5/8 What is (1350/1080)/(10/(-6))? -3/4 What is 1*(-48)/((-108)/(-9))? -4 ((-58)/116)/(((-1)/(-15))/(4/10)) -3 Evaluate (11/(385/(-63)))/((-11)/55). 9 Calculate 28/((-1232)/(-11))*(-3)/((-6)/(-1)). -1/8 (-3)/(12/10)*(-9044)/(-3230) -7 Evaluate ((-65)/(-260))/((276/32)/(-3)). -2/23 What is (147/(-14))/(3/(-4))? 14 Evaluate 1*8/(128/60)*(-20)/(-15). 5 What is the value of (-110)/180*(-352)/1452? 4/27 Calculate 8/18*(3/(-14))/((-7)/21). 2/7 (21/3)/(13/182*49)*-16 -32 Evaluate (4/8)/((-18)/(-252)). 7 What is the value of (-99)/18*(-72)/66? 6 Evaluate 48*-1*7/21. -16 Calculate 3/(-6)*(-5)/((-90)/9)*-24. 6 Calculate ((-612)/119)/(114/532). -24 What is (-5)/130*-8*((-143)/(-2))/11? 2 (-23)/((-552)/180)*(-1)/(-9) 5/6 What is (107/(-1070))/(5/(-550))? 11 What is the value of (-1*(-1)/(-3))/(804/3015)? -5/4 What is 18/(-10)*17*1125/2295? -15 What is the value of 6/9*(-1)/(-33)*144/(-16)? -2/11 Calculate 10/70*4*6*(-5)/(-120). 1/7 Evaluate ((-3)/((-9)/(-6)))/(581/83). -2/7 What is the value of (-15)/(-10)*(-14)/(-3591)*-18? -2/19 Calculate 2/(((-36)/972)/((-3)/(-18))). -9 Calculate (2/14)/((-29)/(-9744)*88). 6/11 Evaluate 6/(-11*20/(-330)). 9 Calculate (32/4)/(((-18)/(-135))/((-15)/45)). -20 Calculate ((36/60)/((-231)/110))/(26/(-7)). 1/13 Evaluate 1/(((-42)/(-15))/(16*6/480)). 1/14 What is ((33/(-11))/(-36)*-3)/(7/(-12))? 3/7 Evaluate ((-5)/(-25))/((-10)/(15600/(-24))). 13 Evaluate 7*68/1785*-5. -4/3 What is the value of (3519/35190)/((-4)/2*2/10)? -1/4 What is ((-48)/7)/(756/2646)? -24 What is 2706/(-369)*(-12)/(-8)? -11 Calculate -44*(-24)/(-1452)*1/(-4). 2/11 Evaluate (-9)/(225/175)*-3. 21 Calculate (5*20/200)/((-2)/24). -6 What is (-43)/(-129)*9*2/3? 2 What is the value of (12/153)/((-5)/30*4)? -2/17 Evaluate (0/(2/(-4)*4))/((-2)/(-1)). 0 What is the value of ((-14)/30)/((-102)/306)*5? 7 What is (-150)/175*196/12? -14 Calculate (-19)/(59565/76)*-12*15/(-6). -8/11 (-8)/(-1)*(-9)/((-180)/(-50)) -20 What is the value of (-15)/1*6*16/(-144)? 10 What is (-4)/((-616)/572*(-65)/20)? -8/7 What is the value of ((-5)/2)/(333/666)? -5 Evaluate (-755)/(-151)*16/(-10). -8 What is ((9/(-75))/((-12)/(-5)))/((-4)/(-15))? -3/16 What is
{ "pile_set_name": "DM Mathematics" }
teger? 16 What is the cube root of 832670 to the nearest integer? 94 What is the eighth root of 6590783 to the nearest integer? 7 What is 4278782 to the power of 1/2, to the nearest integer? 2069 What is the fifth root of 218965 to the nearest integer? 12 What is the fourth root of 476748 to the nearest integer? 26 What is the sixth root of 1007350 to the nearest integer? 10 What is the sixth root of 757392 to the nearest integer? 10 What is the fourth root of 84026 to the nearest integer? 17 What is 227472 to the power of 1/2, to the nearest integer? 477 What is the eighth root of 2293367 to the nearest integer? 6 What is the fifth root of 279164 to the nearest integer? 12 What is the eighth root of 12493968 to the nearest integer? 8 What is the third root of 116182 to the nearest integer? 49 What is 310814 to the power of 1/10, to the nearest integer? 4 What is the square root of 6840639 to the nearest integer? 2615 What is 127654 to the power of 1/9, to the nearest integer? 4 What is the third root of 425130 to the nearest integer? 75 What is the tenth root of 3973353 to the nearest integer? 5 What is the square root of 7059729 to the nearest integer? 2657 What is the square root of 1545932 to the nearest integer? 1243 What is the square root of 20994944 to the nearest integer? 4582 What is 4493318 to the power of 1/3, to the nearest integer? 165 What is the cube root of 1890806 to the nearest integer? 124 What is 180336 to the power of 1/6, to the nearest integer? 8 What is 21311635 to the power of 1/2, to the nearest integer? 4616 What is 270619 to the power of 1/2, to the nearest integer? 520 What is 1041249 to the power of 1/2, to the nearest integer? 1020 What is 1184642 to the power of 1/3, to the nearest integer? 106 What is the fifth root of 30138354 to the nearest integer? 31 What is 5272403 to the power of 1/10, to the nearest integer? 5 What is 40229084 to the power of 1/2, to the nearest integer? 6343 What is the third root of 108041 to the nearest integer? 48 What is 2953392 to the power of 1/6, to the nearest integer? 12 What is 7865651 to the power of 1/3, to the nearest integer? 199 What is 1644459 to the power of 1/2, to the nearest integer? 1282 What is 21191557 to the power of 1/8, to the nearest integer? 8 What is the seventh root of 14627266 to the nearest integer? 11 What is 9733910 to the power of 1/7, to the nearest integer? 10 What is 1319746 to the power of 1/2, to the nearest integer? 1149 What is 24983173 to the power of 1/2, to the nearest integer? 4998 What is the seventh root of 410773 to the nearest integer? 6 What is 4677001 to the power of 1/3, to the nearest integer? 167 What is 2751787 to the power of 1/2, to the nearest integer? 1659 What is the square root of 12059002 to the nearest integer? 3473 What is 146908 to the power of 1/2, to the nearest integer? 383 What is 108405 to the power of 1/3, to the nearest integer? 48 What is the seventh root of 986066 to the nearest integer? 7 What is 1920818 to the power of 1/9, to the nearest integer? 5 What is the square root of 470487 to the nearest integer? 686 What is the cube root of 391917 to the nearest integer? 73 What is the sixth root of 5078039 to the nearest integer? 13 What is 288062 to the power of 1/3, to the nearest integer? 66 What is 2179227 to the power of 1/6, to the nearest integer? 11 What is the cube root of 5711167 to the nearest integer? 179 What is the square root of 6633667 to the nearest integer? 2576 What is 883763 to the power of 1/2, to the nearest integer? 940 What is the square root of 2010037 to the nearest integer? 1418 What is the seventh root of 549983 to the nearest integer? 7 What is the square root of 251243 to the nearest integer? 501 What is 11971873 to the power of 1/2, to the nearest integer? 3460 What is the third root of 2749778 to the nearest integer? 140 What is the cube root of 6096046 to the nearest integer? 183 What is 1150102 to the power of 1/9, to the nearest integer? 5 What is 1865408 to the power of 1/2, to the nearest integer? 1366 What is the third root of 53363 to the nearest integer? 38 What is 2532397 to the power of 1/8, to the nearest integer? 6 What is the square root of 248032 to the nearest integer? 498 What is the cube root of 6190623 to the nearest integer? 184 What is the square root of 23288272 to the nearest integer? 4826 What is 11292221 to the power of 1/6, to the nearest integer? 15 What is 384067 to the power of 1/3, to the nearest integer? 73 What is 16409120 to the power of 1/2, to the nearest integer? 4051 What is the ninth root of 1710418 to the nearest integer? 5 What is the fifth root of 1518958 to the nearest integer? 17 What is the cube root of 24426150 to the nearest integer? 290 What is 408483 to the power of 1/10, to the nearest integer? 4 What is the cube root of 525015 to the nearest integer? 81 What is the eighth root of 305211 to the nearest integer? 5 What is 8706 to the power of 1/8, to the nearest integer? 3 What is the cube root of 2693304 to the nearest integer? 139 What is the sixth root of 17405499 to the nearest integer? 16 What is 3389933 to the power of 1/10, to the nearest integer? 4 What is 20794711 to the power of 1/2, to the nearest integer? 4560 What is 4439992 to the power of 1/4, to the nearest integer? 46 What is the square root of 724347 to the nearest integer? 851 What is 1014073 to the power of 1/3, to the nearest integer? 100 What is the third root of 6531987 to the nearest integer? 187 What is 9762728 to the power of 1/3, to the nearest integer? 214 What is the square root of 4727094 to the nearest integer? 2174 What is 108154 to the power of 1/8, to the nearest integer? 4 What is the third root of 4042609 to the nearest integer? 159 What is the third root of 1680446 to the nearest integer? 119 What is the tenth root of 556910 to the nearest integer? 4 What is 537721 to the power of 1/9, to the nearest integer? 4 What is the cube root of 1668093 to the nearest integer? 119 What is 187492 to the power of 1/3, to the nearest integer? 57 What is 2908960 to the power of 1/2, to the nearest integer? 1706 What is 5863615 to the power of 1/8, to the nearest integer? 7 What is the cube root of 3384115 to the nearest integer? 150 What is the third root of 1091352 to the nearest integer? 103 What is 4838188 to the power of 1/2, to the nearest integer? 2200 What is the third root of 4315562 to the nearest integer? 163 What is the square root of 311517 to the nearest integer? 558 What is 215647 to the power of 1/2, to the nearest integer? 464 What is the fourth root of 489506 to the nearest integer? 26 What is the square root of 5212211 to the nearest integer? 2283 What is the tenth root of 1469067 to the nearest integer? 4 What is 118555 to the power of 1/3, to the nearest integer? 49 What is 213427 to the power of 1/2, to the nearest integer? 462 What is 45300 to the power of 1/2, to the nearest integer? 213 What is the cube root of 819367 to the nearest integer? 94 What is 150125 to the power of 1/3, to the nearest integer? 53 What is the square root of 255352 to the nearest integer? 505 What is the third root of 153216 to the nearest integer? 54 What is the square root of 1200902 to the nearest integer? 1096 What is 2798676 to the power of 1/4, to the nearest integer? 41 What is 305532 to the power of 1/10, to the nearest integer? 4 What is the square root of 20446428 to the nearest integer? 4522 What is the third root of 152801 to the nearest integer? 53 What is the fifth root of 31141246 to the nearest integer? 32 What is the fourth root of 110048 to the nearest integer? 18 What is the fourth root of 299764 to the nearest integer? 23 What is the seventh root of 19931105 to the nearest integer? 11 What is 15166378 to the power of 1/2, to the nearest integer? 3894 What is the tenth root of 9889873 to the nearest integer? 5 What is the fourth root of 284970 to the nearest integer? 23 What is the cube root of 1960107 to the nearest integer? 125 What is the third root of 71879 to the nearest integer? 42 What is the seventh root of 27145066 to the nearest integer? 12 What is the ninth root of 97595 to the nearest integer? 4 What is the tenth root of 3738807 to
{ "pile_set_name": "DM Mathematics" }
-5*k - m + 56. Solve -4 - k = -3*h for h. 5 Let n(y) = 4*y + 31. Let z be n(-7). Solve f = -z + 6 for f. 3 Suppose 4*o + 4*d - d - 15 = 0, 3*o = 5*d + 4. Suppose 3*l = 5*l. Suppose -2*a + l*a = -40. Solve -f = o*f + a for f. -5 Let d be -6*(20/(-6) + 3). Suppose 5*o = d*o. Solve 3*b + 0*b + 15 = o for b. -5 Let x be ((0 + 1)*-3)/(-1). Suppose 0*r - 104 = -4*r. Suppose -x*t = 8 - r. Solve 0 = -p + 4*p - t for p. 2 Suppose -5*t + 3*t + 2 = 0. Solve 5*i - 6 + t = 0 for i. 1 Let b(g) = -3*g - 3. Let w(z) = 1. Let o(h) = b(h) + 3*w(h). Let j be o(-1). Solve 0*t - j = t for t. -3 Suppose -7*w + 11*w = -0*w. Solve w*c - 20 = -4*c for c. 5 Let o = 19 - 11. Suppose 0 = b + 3*b - o. Suppose -b*i - 3*w - 12 = -0*i, -3*i = -5*w - 20. Solve i = -3*k - 12 - 0 for k. -4 Let u be (2 + -3)/1 - -19. Suppose 0 = -5*o + 2 + u. Solve -z - 9 = -o*z for z. 3 Let p be 1/(-2) - 28/(-8). Suppose -2*v + p*z = -6 - 2, -2*v = -z - 8. Solve 0 = 4*h - 2*h - v for h. 2 Let c be 4/(-6) - (-40)/6. Let v be (-3)/((-7)/2 - -2). Solve -5*z = -v*z + c for z. -2 Let b(m) = m**2 - 12*m + 4. Let q be b(12). Solve 0 = -n + q for n. 4 Let j(s) = -s**3 - 3*s**2 + 3*s - 4. Let z be j(-4). Let h be (1/3)/(1/12). Solve z = -h*p + 2*p - 8 for p. -4 Let a(s) = 3*s**2 + 6*s + 5. Let k be a(-1). Let r = 13 - 8. Solve -3*u = -r + k for u. 1 Let w(i) = -i**3 - 3*i - 2. Let c be w(-1). Solve -14 = c*m - 4 for m. -5 Let q(p) = 4*p**2. Let t be q(-1). Solve -t*x = -6*x for x. 0 Suppose 3 = t - 1. Solve t*c = 15 + 1 for c. 4 Let t be 1 - -5 - (13 + -15). Solve 4*l - 6*l + t = 0 for l. 4 Suppose -3*h = -0*h + 27. Let m be (-2)/9 - 20/h. Let f be -3*m*(-3)/9. Solve -4 + 0 = -f*d for d. 2 Let t(n) = -3*n**3 + 11*n**2 + 6*n. Let k = 3 + 1. Let w(x) = 4*x**3 - 12*x**2 - 6*x + 1. Let h(i) = k*w(i) + 5*t(i). Let b be h(-6). Solve -z = -b*z for z. 0 Let a = 45 + -21. Solve -4 = 4*h - a for h. 5 Let i(a) = -a**2 - 8*a - 5. Suppose -2*x - 2*w + 3*w - 18 = 0, 4*x + w + 24 = 0. Let c be i(x). Solve -c = -3*n + 7 for n. 3 Let r(s) be the first derivative of -s**4/4 + 2*s**3/3 + s**2/2 - 1. Let i be r(-1). Solve -2*a - i*a = -20 for a. 5 Let k = -23 + 13. Let b = k - -15. Solve -3*p + b = -1 for p. 2 Let f(o) = o**2 - 3*o + 3. Let d be (-1)/2 - (-7)/2. Let r be f(d). Let w(u) = -u**3 + 4*u**2 - u + 2. Let t be w(3). Solve x = r*x - t for x. 4 Suppose -18 = -4*f + 2*x, 4*f + 3*x = -5 + 18. Solve f = 4*p - 0 for p. 1 Suppose 0 = -55*v + 59*v - 8. Solve -3*t = -v*t for t. 0 Suppose -2*l + 127 = 25. Suppose -2*u + o - 71 = 0, -7 = 5*o - 2. Let k = u + l. Solve -3*d + k = -0*d for d. 5 Suppose -2*v + 3*j = -9, j - 13 = 3*v - 5*v. Solve -g - 10 = -v*g for g. 2 Let t(i) = -i**3 + 16*i**2 + 15. Let f be t(16). Solve -3*a + f = -6*a for a. -5 Let z be 2 + 1 - (9 - 8). Solve u - 4 = z*u for u. -4 Let v(t) = -2*t - 2. Let n be v(-1). Solve b + 2 - 7 = n for b. 5 Let j(y) = -y - 1. Let o be j(-5). Suppose o*a = 5*a. Let m = a + 0. Solve h - 3*h = m for h. 0 Suppose 0*w - 3*w = -15, 4*w = -3*n + 35. Let l = 7 - n. Suppose 0 = 4*y - l*y - 16. Solve -y = -4*u + 12 for u. 5 Let o be 3/6 + 5/2. Suppose 0 = -3*m - 9 - o. Let j = 8 + m. Solve j*t - 5*t - 1 = 0 for t. -1 Let f(y) = y + 13. Let u be f(-8). Solve 0 = h + u - 0 for h. -5 Suppose 0 = 4*j - 16. Let n be 55/30 - (-1)/6. Solve j*r + n = 3*r for r. -2 Let r(p) = -p**3 + 8*p**2 - 8*p + 9. Let h be r(7). Suppose 0 = z - 2*w - 3*w + 17, -11 = -z - 2*w. Solve h*v + v - z = 0 for v. 1 Let y = -13 - -8. Let s be (1 - y) + -3*1. Suppose -4*i - 2 = -6. Solve -i = s*k + 5 for k. -2 Let k(m) = 16*m**2 + 8*m - 8. Let u be k(1). Solve -l + 5*l + u = 0 for l. -4 Let u = -26 + 62. Suppose y + 3*y + 4*p = 48, 3*y = -5*p + u. Let d be (-1)/((-15)/y - -1). Solve -d = j + j for j. -2 Let c = -13 - -16. Solve -c*x = x for x. 0 Suppose 4*p - 35 = 5*u, -u + p = 2*u + 14. Let s = 3 + u. Solve 0*l - 3*l - 6 = s for l. -2 Let l be (-2 - -3 - -1)/(-2). Let j be (-1)/(3 - 3 - 1). Let c = j - l. Solve -7*b + c*b = 5 for b. -1 Let y be 80/8 + 4/(-2). Solve 12 = -5*n - y for n. -4 Let p be (-9)/5*(-20)/6. Let h = 4 - -10. Let l be (-1)/(3/p) + h. Solve x + l = -3*x for x. -3 Suppose 1351 = -2*x - 0*z + z, x - 3*z + 673 = 0. Let m be (-1)/3 + x/(-12). Suppose 5*p + 11 = m. Solve -4*q + p = -3 for q. 3 Let i be ((-3)/4)/((-12)/64). Let f = -2 - -2. Solve -g + i*g = f for g. 0 Let k be (-12)/8*20/(-6). Solve -k*x - 2 - 3 = 0 for x. -1 Let d(k) = k**3 - 11*k**2 - 12*k. Let q be d(12). Solve o + o - 10 = q for o. 5 Let c = -4 + 4. Solve 5*m + 20 = -c for m. -4 Suppose 2*t - 5*x - 50 = 0, -2*x = 2*x + 8. Suppose 0*b + 26 = -2*w + 2*b, -2*b - 37 = 5*w. Let p be ((-2)/(-3))/(-2)*w. Solve -l = p*l + t for l. -5 Let t = 115 + -111. Solve t*w = 7*w + 15 for w. -5 Let d(t) be the first derivative of -3*t - 2 - 1/2*t**2. Let m be d(-6). Solve -m - 2 = x for x. -5 Let s(x) = -x**2 + 2*x + 4. Let y be s(3). Let f(c) = 0*c + 3*c + y + 11*c. Let j be f(1). Solve -5*q - j = -0 for q. -3 Suppose -15 = -0*h - 5*h. Solve 0*d = -h*d - 3 for d. -1 Let c(g) = -g - 2. Let i be c(-2). Solve i = -m - 0*m for m. 0 Suppose 6 = -3*l + 5*l. Solve h - l*h + 8 = 0 for h. 4 Suppose 0 = 5*w - 0*w. Suppose h = 2*h - 5. Solve w*b = h*b + 15 for b. -3 Let f(w) = w**2 + w - 5. Let k be f(-4). Let s = k - 2. Solve -s*t = -2*t + 6 for t. -2 Let f(s) = s - 3. Let l be f(7). Suppose -2 + 6 = l*z. Solve 2*u + z = -7 for u. -4 Let s = 9 - 5. Solve -s*r = -3*r - 5 for r. 5 Suppose -18 - 2 = 4*s, -3*r + s = -14. Suppose -18 = -2*d - d. Solve -r*z + d = -6 for z. 4 Let p = 0 + 2. Suppose -p*f - 1 = -5. Suppose -4*g + 25 = -3*g - 5*y, f*g + 20 = -4*y. Solve g*z + z - 1 = 0 for z. 1 Let i(w) = w - 1. Let x be (-15)/6*12/(-10). Let y be i(x). Solve y = 2*k - 0*k for k. 1 Suppose -8*s + 5 = -27. Solve 0 = -s*h + 6*h - 10 for h. 5 Suppose 0 = -14*d + 11*d. Solve -3*i + d*i - 6 = 0 for i. -2 Let n(r) = -3*r + 4. Let c be 2/(3/(4 + 2)). Let o be n(c). Let d(u) = -u - 5. Let v be d(o). Solve 2*x = v*x - 1 for x. 1 Let g(q) = q**2 - 1. Suppose -5*r = -4 - 6. Suppose -3*x + 2 = -f, -2*x - 6 = -2*f - r. Let p be g(x). Solve 15 - p = -3*y for y. -4 Let r be (1 - 2) + (4 - 2). Let n(v) = 5*v**2. Let i be n(r). Let h = -5 + i. Solve h = -g - 4 + 9 for g. 5 Let y(f) = f**3 - 8*f**2 - f + 9. Let x be (-1 + -11)*(-2)/3. Let r be y(x). Solve 2*q = -r - 5 for q. -3 Suppose -3*d + 4*m - 102 = 0, 5*d + 2*m = -0*m - 170. Let z be d*1*(-1)/2. Suppose 3*j + 0 = 6. Solve 0 = -3*t + j - z for t. -5 Suppose -28 = -2*b + 4. Suppose -34 - b = -5*k. Suppose -4*l = 3*z - 15, 3*l = -0*z - z + k. Solve -8 = l*y - 5*y for y. 4 Let v(z) = -z**3 + 8*z**2 - 6*z - 6. Let y be v(7). Suppose 2 = t - y. Let s = t + -3. Solve l + l - 8 = s for l. 4 Suppose -f = -3*p - 0 + 3, 3*p + 2*f + 6 = 0. Suppose 12*t - 12 = 9*t. Solve p*n = -t*n + 16 for n. 4 Suppose 0 = -3*g - 0*g + 27. Solve -4*a + g*a + 25 = 0 for a. -5 Let x(q) = -q + 19. Let g be x(9). Solve -3*k = -8*k + g for k. 2 Suppose -4*z - 5 = 5*s, -s + 5*z = -2*s - 22. Solve 0 = s*t + t for t. 0 Suppose -5*m = -5*f - 15, -2*f - 1 = -3*m + 9. Solve 1 = m*c - 5*c for c. -1 Let h(l) = -3*l - 7 + 0*l + 3. Let i be h(-3). Let g = i + -4. Solve -r - 3 + g = 0 for r. -2 Let b = 4 - 7. Suppose 6 = -4*i + 94. Let j = i - b. Solve -4*p - p = -j for p. 5 Suppose 3 = -0*x + 3*x, 0 = -2*n - 3*x + 21. Solve -3*v + 6*v = n for v. 3 Let c be (-10)/(-8) - (-1)/(-4). Let u = 1 + c. Let j(q) = q**3 - 5*q**2 + 2*q - 2. Let i be j(5). Solve u*v + i = -2 for v. -5 Suppose -14 = -i + 5*w, -3*i - w = -7*i - 1. Let o be i/1*(-6 - -4). Solve -z + 0 - o = 0 for z. -2 Suppose -21*b - 9 = -24*b. Solve 4 = b*z - z for z. 2 Suppose 0*g + g + 3*t - 15 = 0, -5*t = -4*g - 25. Suppose -3*d - d = g. Solve 1 + d = z for z. 1 Suppose 0 = -0*v - 2*v. Suppose -3*o + k - 5 = 0, 4*o = k - 3*k + 10. Let w(l) = l. Let d be w(o). Solve d = -3*t - v*t for t. 0 Let z(a) = 8*a - 35. Let r be z(6). Solve 4*f + r = 1 for f. -3 Suppose -k = 5*o - 13, 0 = -3*k + 5*o - 0*o - 1. Solve 2*p + 4 = k*p for p. 4 Let m = 10 - 10. Let y be 3 + -3 + 4 + 1. Suppose -20 = -w + 3*f - f, -y = w + 3*f. Solve w = 2*n - m for n. 5 Let l be 10 + -2 + 2 + 3 + -3. Solve 0 = -4*k + l - 2 for k. 2 Let v(o) = o**2 + 6*o + 4. Let i be ((-7)/3 + 1)*3. Let b be v(i). Let a = -3 - b. Solve -j + a = -4 for j. 5
{ "pile_set_name": "DM Mathematics" }
6 + 16. Is 9 a factor of q? False Is (52/(-39))/((-2)/39) a multiple of 12? False Suppose 2*l = 4*l + 4. Let v be 4 - (l + -2 + 2). Suppose -i = -2*i + v. Does 6 divide i? True Let l(g) = -g**2 + 3*g + 3. Let b be l(3). Suppose -23 = -2*v - b. Is 4 a factor of v? False Let s(g) = 10*g**2 + 3*g - 2. Is 11 a factor of s(2)? True Let v(b) = 29*b**3 - b**2 - b + 1. Let x be v(1). Suppose -x - 56 = -2*g. Is 24 a factor of g? False Suppose w - 5*j = 5, -j - 25 = -5*w + 3*j. Is 2 a factor of 28/w + (-4)/(-10)? True Suppose 4*h = 6*h. Suppose h = 4*t - t - 87. Is t a multiple of 6? False Let x(j) = 7*j**2 - 2*j + 1. Let h be x(1). Let o = h - -11. Is o a multiple of 7? False Let h = -70 - -77. Is 3 a factor of h? False Let h(k) = -k**2 - 15*k - 13. Let w be h(-11). Let j(o) = -o**2 - 6*o + 4. Let c be j(-6). Suppose -52 = -c*a - y, 5*a - w = 2*y + 21. Is a a multiple of 6? True Suppose 0 = 3*d + 15, u + 0*u - d = 9. Does 4 divide 2*2/u*11? False Let n be (5/(-20))/(1/(-4)). Let v = 6 + n. Is 6 a factor of v? False Let r(f) = 2 - 7 + 2*f - 2. Suppose 5*i - 50 = -x + 6*x, 3*i - 2*x - 26 = 0. Does 3 divide r(i)? False Let v(m) = -6*m - 9. Is 27 a factor of v(-6)? True Let y = -38 + 78. Is y a multiple of 16? False Suppose 5 = -2*q - c + 19, 2*q = 4*c + 4. Let f = -3 + q. Does 3 divide f? True Suppose -h = -5*h + 120. Does 15 divide h? True Is 19 a factor of (-1292)/(-16) + ((-6)/(-8))/3? False Let a(t) = t + 44. Is a(-16) a multiple of 14? True Let k(g) = g**3 + 9*g**2 + 4*g - 10. Is 19 a factor of k(-7)? False Is 38 a factor of (-6)/48 - (-3042)/16? True Let t(z) = 187*z + 3. Let p(i) = -94*i - 2. Let f(q) = -5*p(q) - 3*t(q). Let g be f(3). Does 21 divide g/(-6) - (-4)/6? False Suppose 537 + 199 = 4*z. Does 23 divide z? True Suppose -112*s = -110*s - 658. Is s a multiple of 20? False Suppose 0*d - 4*d + 168 = 0. Is d a multiple of 14? True Let q = -11 - 7. Let a = q + 36. Is a a multiple of 18? True Suppose -3*c + 191 + 19 = 0. Is 20 a factor of c? False Suppose -7 = -3*q - 0*b + b, -2*b - 11 = -3*q. Let o(g) = 4*g**2 - g. Is o(q) a multiple of 3? True Let k = 16 + 119. Does 27 divide k? True Let i = 324 + -165. Is i a multiple of 53? True Does 6 divide (35/(-2) - -2)/((-2)/4)? False Let x(t) = 13*t + 8 - 7 + 2*t**2 + 8. Is x(-8) a multiple of 6? False Let p be (7 + -1 + 1)*1. Let o(r) be the second derivative of r**3/3 + 4*r**2 - 4*r. Does 8 divide o(p)? False Let c be ((69 + 0)/(-3))/1. Let k = 32 + c. Let s = 15 - k. Does 3 divide s? True Suppose -t = -1 - 2. Suppose n - 10 = t*n, -13 = -3*j + 2*n. Let b = 8 + j. Is b a multiple of 9? True Let u = 2 - -22. Let j = u - 9. Does 5 divide j? True Let w(g) = -g**3 - 10*g**2 + 7*g - 2. Does 6 divide w(-11)? True Suppose -110 - 130 = -3*s. Is s a multiple of 10? True Suppose 0 = 4*w + 4*t + 15 - 71, -5*w = 2*t - 58. Does 2 divide (w/(-4))/(10/(-20))? False Let c(x) = 4*x - 4. Let k be c(4). Suppose -k + 2 = -5*l. Suppose 0 = -l*a + f - 0*f + 27, -4*a - f = -57. Does 7 divide a? True Suppose 2*s - 3*g = 1, -s - g = 2*g - 5. Suppose b + 0 = s. Is 13 a factor of 23 + (b - 1) + 2? True Is 30 a factor of (-18)/(24/(-4)) + 267? True Let a = 11 - 8. Let v be 20 + 0 + -2 + -2. Suppose -2*k - v = -a*k. Is 10 a factor of k? False Let t(c) = c**3 - c**2. Let s = -6 + 6. Let u be t(s). Suppose 4*j - 150 + 6 = u. Is j a multiple of 18? True Let d(l) = 3*l**3 - 6*l**2 + 2*l + 13. Does 10 divide d(4)? False Let a(y) = y**2 - y + 1. Let h be a(0). Suppose 3*v + 75 = 8*v. Suppose 0 = -4*c + w + 19, 3*c - w - v + h = 0. Is 3 a factor of c? False Let q(g) = 2*g - 2. Let z be q(2). Let i(f) = 47 - 10*f**z + 11*f**2 - 15. Is i(0) a multiple of 9? False Let l = -1 + 3. Suppose t + 5*n + 26 = 8, 0 = 3*t - l*n - 31. Suppose 3*k - 55 = -t. Is k a multiple of 7? False Suppose -3*f + 50 = -2*c, -f - 4*c = -0*f - 40. Is 12 a factor of f? False Let a be 3*(12/(-9))/(-2). Suppose 2*d = -3*b + 4*b - 24, -a*b = d - 23. Does 10 divide b? False Let p(r) = -r**3 + 5*r**2 + 7*r - 2. Let s be p(6). Let d = s - 0. Suppose 1 + d = -u - 2*t, -t = u. Is 5 a factor of u? True Let b(n) = 6*n**2 + 7*n - 14. Let a(h) = -9*h**2 - 11*h + 21. Let j(i) = -5*a(i) - 7*b(i). Is 25 a factor of j(3)? False Let u(k) = -27*k - 4. Let x be u(6). Let a be (-8)/20 + x/10. Let y = a + 37. Is y a multiple of 10? True Let l = 3 + -5. Let h(x) be the third derivative of -x**6/120 + x**5/20 + x**4/12 - x**3/6 - 3*x**2. Is 9 a factor of h(l)? False Suppose -5*v - 5 = -5*c, 0*v - 2*v + 23 = 3*c. Let d = 1 + 3. Suppose 0 = -d*w - v*a + 20, -4*w + 33 = w + a. Does 7 divide w? True Let p be (-6)/(-27) + 43/9. Suppose -7 - p = -2*x. Is 6 a factor of x? True Suppose -4*p + 6 + 2 = 0. Suppose 0*k + 51 = k - 2*v, -p*k + 101 = -5*v. Does 21 divide k? False Suppose -7*z = -3*z + 184. Let n = z + 79. Is 19 a factor of 1248/n + 2/11? True Let j be ((-8)/(-6))/(4/12). Let t(i) = -3 - 2*i**2 - 5*i + 3*i**2 + j*i. Is t(4) a multiple of 8? False Let g be ((-9)/6 - -1)*-12. Does 12 divide (g/3)/((-3)/(-36))? True Suppose 0 = 3*v + 5*z - 89, 5*v - z = 123 + 44. Is v a multiple of 3? True Suppose 5*g - 3*g - 22 = -3*y, y + 1 = g. Suppose y*z = -z. Suppose 41 = 2*p + v, z*p + p + 4*v = 10. Is p a multiple of 11? True Suppose -14*s + 1133 = 293. Is s a multiple of 12? True Let p(d) = -d**3 + 6*d**2 - 4. Let o = 58 - 6. Let q be 2/(-8) - o/(-16). Does 11 divide p(q)? False Let r(b) = b**3 + 6*b**2 + 2. Let z be r(-6). Suppose -5*n + 3*i - z*i = -6, -12 = -3*i. Suppose -12 = -n*m - 2. Does 3 divide m? False Let h = 24 - 19. Suppose -3*a = -5*d + 23 + 15, -30 = -d - h*a. Is 10 a factor of d? True Suppose 108 = -2*l + 5*l. Suppose c = -2*c + l. Is 6 a factor of c? True Let d = 1 + 1. Suppose 0 = -o - 4*t + 7 - 2, -d*o = t - 10. Suppose -o + 25 = 5*z. Is z a multiple of 3? False Suppose -4*x + 18 + 18 = 0. Let g(a) = a**3 - 10*a**2 + 10*a - 13. Let b be g(x). Let p(i) = -7*i - 4. Is 12 a factor of p(b)? True Suppose -2*w + 3 = -3. Suppose 3*c - 79 = -u, 12 + w = -5*c. Does 22 divide u? True Let h be 1/((1 + 0)/(-3)). Suppose -2*s + u + 9 = -0*s, 0 = -4*u + 20. Let q = s + h. Is q a multiple of 4? True Let w = 53 + -12. Is 11 a factor of w? False Is 1*107 + (-4 + -2)/(-6) a multiple of 6? True Let l(z) = z**3 + 10*z**2 + 10*z + 12. Let m(r) = -r**2 - 9*r - 6. Let g be m(-10). Let n = -25 - g. Is 2 a factor of l(n)? False Let t = 0 + -3. Let b(i) = -2*i - 5. Let m(y) = y + 1. Let w(k) = -b(k) - 4*m(k). Is 7 a factor of w(t)? True Suppose -77*p + 78*p - 75 = 0. Is p a multiple of 15? True Let l = -16 - -8. Suppose -2*v = -5*k - 20, 2*v = v + 3*k + 12. Let a = v - l. Is 8 a factor of a? True Let t(s) = s**2 + 4*s + 6. Let n(a) = 2*a**2 - 3*a - 4. Let i be n(3). Does 13 divide t(i)? False Let y(h) = 7*h - 2. Let w(r) = 2*r + 1. Let j be w(2). Let g = 8 - j. Is 11 a factor of y(g)? False Let r = -95 - -157. Is r a multiple of 16? False Let y be (-640)/(-35) + 2/(-7). Let z be (y/(-4))/(6/(-8)). Is 4 a factor of (-4)/z + 52/6? True Suppose 9*v = 7*v - 4. Let z(w) = w**2 - w + 4. Let r be z(3). Does 16 divide r*-1*5/v? False Is 2 a factor of 3 + ((-4)/18 - (-112)/18)? False Let u = -4 + 7. Let x = u + -3. Suppose x*l + 3*l = 108. Does 18 divide l? True Suppose 2*g + c - 390 = -86, 5*c + 20 = 0. Does 9 divide g? False Suppose -h - h + 13 = w, -4*h + 5 = -5*w. Does 31 divide 90 + ((-9)/(-3) - w)? False Does 7 divide 5*(-1)/(-25) + 418/10? True Let c(u) = 2*u + 0*u**2 + 2*u + 2*u**2 + 0 + 4. Is c(-4) a multiple of 5? True Let n be (-2)/(-6) - (-394)/6. Suppose a + 3*i = 17, -n = -5*a - 0*i + 4*i. Suppose a + 22 = j. Does 12 divide j? True Let q(j) = j - 8. Let r be (0*(-2)/(-6))/(-2). Let l be q(r). Does 5 divide 1 + (0 - 4) - l? True Let d(o) = -o**2 - 11*o + 14. Does 16 divide d(-9)? True Let b(r) = -r**3 + 4*r**2 - r - 1. Let k be b(2). Suppose -k*l + 226 = -24. Does 13 divide l? False Let v(w) = 10*w**2 - 4*w + 3. Is 9 a factor of v(1)? True Let s = -39 + 24. Does 12 divide (-4)/6 - 370/s? True Is ((-22)/(-8))/(1/20) a multiple of 18? False Is 5 a factor of 6/12*4 - -17? False Let j(t) = 5*t**2. Let p be j(1). Suppose -4*w = -11 - p. Suppose 0 = w*d - 56 - 48. Is d a multiple of 8? False Let l = 14 + 20. Is 10 a factor of l? False Let x be (-243)/(-6)*4/6. Let g = x - 6. Is g a multiple of 7? True
{ "pile_set_name": "DM Mathematics" }
g**5/5 - 72*g**4 + 2833*g**3/5 + 6669*g**2/5 + 4363*g/5 + 891/5 = 0. -1, -1/2, 11, 81 Find t, given that 4*t**4/7 - 9636*t**3/7 - 28944*t**2/7 - 16*t/7 + 38592/7 = 0. -2, 1, 2412 What is a in 2*a**5/3 + 10*a**4/21 - 328*a**3/7 + 440*a**2/3 - 800*a/21 = 0? -10, 0, 2/7, 4, 5 Factor -4*r**3/5 + 1012*r**2/5 - 7804*r/5 - 1764. -4*(r - 245)*(r - 9)*(r + 1)/5 Let -14*y**3/3 + 2524*y**2 - 19538*y - 8528/3 = 0. What is y? -1/7, 8, 533 What is j in -j**2 + 3072*j = 0? 0, 3072 What is v in -3*v**2/2 + 29667*v - 293376963/2 = 0? 9889 Factor -14*g**2/11 - 34758*g/11 + 9932/11. -2*(g + 2483)*(7*g - 2)/11 Find q, given that 3*q**5 + 477*q**4 - 16251*q**3 + 142191*q**2 - 237552*q + 111132 = 0. -189, 1, 14 Factor w**5 + 5*w**4 - 414*w**3 - 2524*w**2 - 5048*w - 3360. (w - 21)*(w + 2)**3*(w + 20) What is h in h**4 + 2853*h**3 - 14296*h**2 - 17148*h = 0? -2858, -1, 0, 6 Factor p**3 - 883*p**2 - p + 883. (p - 883)*(p - 1)*(p + 1) Suppose y**5/3 + 4346*y**4/9 + 7234*y**3/9 - 484*y**2/3 - 7237*y/9 - 2894/9 = 0. Calculate y. -1447, -1, -2/3, 1 Factor r**3/4 - 605*r**2 + 1030277*r/4 + 279700471/2. (r - 1361)**2*(r + 302)/4 Let -5*g**4 - 4195*g**3 - 1219800*g**2 - 150291520*g - 6725112320 = 0. Calculate g. -383, -152 Let 2*r**2 + 17108*r - 17110 = 0. What is r? -8555, 1 Factor 2*o**3/3 + 1528*o**2/3 - 10810*o/3 - 4112. 2*(o - 8)*(o + 1)*(o + 771)/3 Suppose -3*m**2/7 + 20064*m/7 = 0. What is m? 0, 6688 Factor -2*n**2 - 1744*n + 7008. -2*(n - 4)*(n + 876) Let -4*q**3 - 1288*q**2 - 92612*q + 1827904 = 0. Calculate q. -169, 16 Factor 2*x**4 - 1456*x**3 - 16210*x**2 - 35544*x + 53208. 2*(x - 739)*(x - 1)*(x + 6)**2 Solve 7*t**4 + 25*t**3 - 117*t**2 - 81*t + 54 = 0. -6, -1, 3/7, 3 Suppose -r**3/3 - 2665*r**2/6 - 3325*r/3 = 0. Calculate r. -1330, -5/2, 0 Factor j**5/5 - 2507*j**4/5 + 1575016*j**3/5 - 4702512*j**2/5. j**2*(j - 1252)**2*(j - 3)/5 Find f, given that -5*f**3 + 18560*f**2 + 92955*f - 111510 = 0. -6, 1, 3717 Factor -4*w**2 - 3596*w - 3592. -4*(w + 1)*(w + 898) Suppose -3*v**3/4 + 1077579*v**2/2 - 387058833747*v/4 = 0. Calculate v. 0, 359193 Let 5*a**4/2 - 165*a**3 + 6865*a**2/2 - 23430*a + 20160 = 0. What is a? 1, 12, 21, 32 Solve -2*w**3/3 - 596*w**2/3 - 27586*w/3 - 26992/3 = 0 for w. -241, -56, -1 Find d, given that -52*d**4 + 2846*d**3 - 7466*d**2 + 4276*d - 624 = 0. 3/13, 1/2, 2, 52 Let 2500*z**3 + 837500*z**2 - 16*z - 5360 = 0. What is z? -335, -2/25, 2/25 Solve g**3/4 - 119*g**2/4 - 1481*g/2 + 770 = 0 for g. -22, 1, 140 Determine x, given that -x**4 - 532*x**3 + 286364*x**2 + 94993920*x - 31883673600 = 0. -576, 310 Factor -b**2/3 - 8663*b - 51974/3. -(b + 2)*(b + 25987)/3 Solve l**5 - 69*l**4 + 716*l**3 + 15856*l**2 + 73536*l + 104960 = 0. -4, 40, 41 Factor 2*x**3 - 1770*x**2 + 3534*x - 1766. 2*(x - 883)*(x - 1)**2 Suppose -o**4/4 - 135*o**3/4 - 261*o**2/4 + 671*o/4 + 399/2 = 0. Calculate o. -133, -3, -1, 2 Let r**3/7 - 69*r**2/7 + 579*r/7 + 649/7 = 0. What is r? -1, 11, 59 Factor -10*y**3 - 45*y**2 + 1605*y - 1550. -5*(y - 10)*(y - 1)*(2*y + 31) Find f, given that -2*f**2 + 5364*f + 10736 = 0. -2, 2684 Solve -3*j**2 - 2622*j - 2619 = 0 for j. -873, -1 Determine z, given that 4*z**5/7 + 568*z**4/7 + 27956*z**3/7 + 524912*z**2/7 + 2432880*z/7 + 2980800/7 = 0. -46, -45, -4, -2 Suppose -2*a**5 - 450*a**4 + 2*a**3 + 450*a**2 = 0. What is a? -225, -1, 0, 1 Solve 4*f**4 - 13836*f**3 - 110892*f**2 - 180260*f - 83208 = 0. -6, -1, 3467 Find p such that -2*p**5/11 - 136*p**4/11 - 1884*p**3/11 - 7856*p**2/11 - 10594*p/11 - 408 = 0. -51, -11, -4, -1 Solve -2*r**5/5 + 256*r**4/5 - 3918*r**3/5 - 4696*r**2/5 + 1672*r = 0. -2, 0, 1, 19, 110 Find k, given that k**3 + 7234*k**2 + 14465*k + 7232 = 0. -7232, -1 Let -4*j**4 - 740*j**3 - 16428*j**2 - 67948*j + 85120 = 0. Calculate j. -160, -19, -7, 1 Factor 2*v**2/19 - 79270*v/19. 2*v*(v - 39635)/19 Find p such that 3*p**2/2 + 486*p + 39342 = 0. -166, -158 Determine l so that l**4/6 + 4745*l**3/6 + 2371*l**2/3 - 4744*l/3 = 0. -4744, -2, 0, 1 Determine a, given that -2*a**2/11 + 24212*a/11 + 145344/11 = 0. -6, 12112 Factor -b**3 - 1860*b**2 - 29568*b - 118016. -(b + 8)**2*(b + 1844) Factor 5*m**4 + 890*m**3 + 37660*m**2 - 184730*m - 869505. 5*(m - 7)*(m + 3)*(m + 91)**2 Suppose -3*n**4 - 9909*n**3 + 89343*n**2 - 268191*n + 268272 = 0. What is n? -3312, 3 Factor -3*r**3 + 306684*r**2 - 3679884*r + 11039328. -3*(r - 102216)*(r - 6)**2 Find r, given that -r**2 - 4057*r + 4058 = 0. -4058, 1 Determine h, given that 7*h**4/2 - 2167*h**3/6 = 0. 0, 2167/21 Suppose -3*w**4/8 - 69*w**3/4 - 1611*w**2/8 - 303*w/2 + 741/2 = 0. Calculate w. -26, -19, -2, 1 Factor d**2/3 - 70607*d - 211822/3. (d - 211822)*(d + 1)/3 Factor -26*p**2/5 + 2064*p/5 + 418. -2*(p + 1)*(13*p - 1045)/5 Let -o**5/3 + 85*o**4/3 - 1246*o**3/3 + 2076*o**2 - 2376*o - 4896 = 0. What is o? -1, 6, 68 Factor o**3/2 + 403*o**2/2 - 2265*o + 4968. (o - 8)*(o - 3)*(o + 414)/2 Factor -3*g**2 + 14241*g - 297738. -3*(g - 4726)*(g - 21) Solve 4*v**5/9 + 1652*v**4/9 - 1660*v**3/3 + 4988*v**2/9 - 1664*v/9 = 0 for v. -416, 0, 1 Factor s**3 + 16359*s**2 + 66830544*s - 602800704. (s - 9)*(s + 8184)**2 Factor -2*o**2/5 + 4556*o/5 - 135552. -2*(o - 2118)*(o - 160)/5 Let -5*f**2 + 9170*f + 509760 = 0. What is f? -54, 1888 Determine y so that 4*y**3 + 2356*y**2 - 11936*y - 33264 = 0. -594, -2, 7 Factor -m**2/2 - 129*m + 17444. -(m - 98)*(m + 356)/2 Factor 676*w**4 - 243776*w**3 + 24346464*w**2 - 427170560*w + 2075713600. 4*(w - 170)**2*(13*w - 134)**2 Suppose -b**2/4 - 44775*b/4 - 22387/2 = 0. Calculate b. -44774, -1 Factor 189*k**2 - 49884*k - 3168. 3*(k - 264)*(63*k + 4) Determine w so that 5*w**3 + 8230*w**2 + 3529925*w + 116644500 = 0. -805, -36 Factor 2*q**3/17 - 18604*q**2/17 + 43189090*q/17 + 346704400/17. 2*(q - 4655)**2*(q + 8)/17 Factor 1660*u**3 + 1892*u**2 - 2856*u. 4*u*(u + 2)*(415*u - 357) Factor 3*a**2/4 - 3375*a/4. 3*a*(a - 1125)/4 Let -2*m**2 + 512444*m - 32824856642 = 0. Calculate m. 128111 What is k in k**3/3 + 811*k**2/3 + 3232*k/3 + 1076 = 0? -807, -2 Determine w, given that 4*w**5/5 + 172*w**4/5 - 2692*w**3/5 - 572*w**2 = 0. -55, -1, 0, 13 Determine a, given that 2*a**4/3 - 1862*a**3/3 - 15250*a**2 - 85906*a/3 - 42020/3 = 0. -22, -1, 955 Factor 2*k**3/3 - 14694*k**2 - 29390*k - 44086/3. 2*(k - 22043)*(k + 1)**2/3 Suppose -5*h**4/4 - 987*h**3/4 - 1541*h**2 - 2487*h - 764 = 0. Calculate h. -191, -4, -2, -2/5 Factor -1323*a**3 + 8807463*a**2 - 1677576*a + 79884. -3*(a - 6657)*(21*a - 2)**2 Suppose -5*r**5 - 50*r**4 - 85*r**3 - 40*r**2 = 0. Calculate r. -8, -1, 0 Find f such that 36*f**5/7 + 1560*f**4/7 + 6277*f**3/7 + 7579*f**2/7 + 2032*f/7 + 156/7 = 0. -39, -2, -1/6 Let -4*x**5/7 + 116*x**4/7 - 400*x**3/7 = 0. What is x? 0, 4, 25 Solve 3*u**3/7 - 1488*u**2/7 + 28185*u/7 + 25500 = 0. -5, 25, 476 Factor x**2/4 - 387*x/2 + 16272. (x - 678)*(x - 96)/4 Suppose -3*b**3/7 + 35079*b**2/7 - 14646735*b - 102562227/7 = 0. What is b? -1, 5847 Factor 10*b**2 + 301662*b - 241336. 2*(b + 30167)*(5*b - 4) Solve 2*c**5/15 - 4918*c**4/15 + 78068*c**3/15 + 263732*c**2/15 + 273578*c/15 + 92834/15 = 0. -1, 19, 2443 Determine h so that -2*h**3/5 + 108*h**2/5 + 1232*h/5 + 3072/5 = 0. -6, -4, 64 Solve 2*y**2/11 + 1896*y/11 + 2210 = 0. -935, -13 What is y in -y**2/2 - 2195*y - 4389/2 = 0? -4389, -1 Factor -25*o**3 + 890*o**2 - 7340*o - 3080. -5*(o - 22)*(o - 14)*(5*o + 2) Suppose -5*g**5/3 + 7340*g**4 - 73295*g**3 + 813190*g**2/3 - 439460*g + 263640 = 0. What is g? 2, 3, 4394 Suppose -2*y**5/3 - 1348*y**4/3 + 4*y**3/3 + 2696*y**2/3 - 2*y/3 - 1348/3 = 0. Calculate y. -674, -1, 1 Factor 3*u**3 + 23778*u**2 - 118965*u. 3*u*(u - 5)*(u + 7931) Solve 5*d**4 - 603*d**3 + 20520*d**2 - 137536*d + 75264 = 0 for d. 3/5, 8, 56 Factor -3262*r**2 - 9774*r + 36. -2*(r + 3)*(1631*r - 6) Suppose 20*m**5 + 895*m**4 + 6715*m**3 + 15125*m**2 + 6585*m - 2700 = 0. What is m? -36, -5, -3, -1, 1/4 Factor -k**2 + 474070*k - 56185591225. -(k - 237035)**2 Determine u so that 22149*u**2/7 - 22110*u/7 - 39/7 = 0. -13/7383, 1 Find x such that -x**4/2 + 9*x**3 + 364*x**2 + 2880*x + 6400 = 0. -10, -8, -4, 40 Let -10*f**5/7 - 1968*f**4/7 + 342*f**3 + 3560*f**2/7 - 792*f/7 = 0. What is f? -198, -1, 0, 1/5, 2 Factor 3*k**3/4 - 6*k**2 - 3*k/4 + 6. 3*(k - 8)*(k - 1)*(k + 1)/4 Factor -3*d**3/4 + 363*d**2/2 - 21315*d/4 - 756900. -3*(d
{ "pile_set_name": "DM Mathematics" }
hat is the nearest to -509 in -1/4, -174, -1/2? -174 Which is the closest to 0.512? (a) -3 (b) -0.9 (c) 449 b Which is the closest to -2/5? (a) -93/2 (b) -8.07 (c) 5/2 (d) 2 d What is the nearest to 0.5 in -3/8, 673863, -0.3? -0.3 Which is the closest to 0? (a) 4 (b) -0.3 (c) -1 (d) -18 (e) 4773 b What is the nearest to -5 in 76, -0.1, -2808, 0.5? -0.1 Which is the nearest to -4? (a) -3/4 (b) -14 (c) 1/212 a Which is the closest to 0.2? (a) 136/9 (b) 5 (c) -146 (d) -0.7 (e) -2 d What is the nearest to -20860 in -8.8, -1/4, -0.4, -1? -8.8 What is the nearest to 390.2065 in 2, 0, 1/4, 5? 5 What is the nearest to -0.354 in 485, 0.18, 1/5, 4, 0? 0 Which is the nearest to 0? (a) 18224 (b) 16 (c) 1.4 (d) 0 d Which is the nearest to 0? (a) 2/17 (b) -49 (c) -5/6 (d) 0.2 a What is the closest to 0.6766 in -0.5, 19/83, 3? 19/83 Which is the nearest to 0? (a) -5 (b) -4598 (c) 0.4 (d) 3190/9 (e) 2 c Which is the closest to -7/2? (a) 1/2 (b) -2 (c) 164 (d) -0.1 (e) 0 b What is the closest to -0.3 in 1, 65, 0.43, 12.3? 0.43 Which is the closest to -7.013? (a) 10/11 (b) -4/7 (c) -0.1 (d) -4 (e) -2 d Which is the nearest to 0.16? (a) -0.3 (b) 1/6 (c) 1/2 (d) -96/65 b What is the closest to 1 in 0.163, 3, 1/4, 1, -38.829? 1 What is the closest to -2 in -3/4, 3, 12/7, 37? -3/4 What is the nearest to 1 in -513, 2/3, 0.1, -1/54? 2/3 Which is the closest to 176193? (a) 0.21 (b) -0.1 (c) -5 (d) -0.4 a Which is the nearest to -3077871? (a) -1/5 (b) 0.2 (c) -3/7 c Which is the nearest to -1/4? (a) 55 (b) -11 (c) -6643 b What is the closest to 2/55 in 0.251, -5, 115? 0.251 What is the nearest to 1/3 in -1/9, -1/30, 3/7, -6/11, -5/8, -3/8? 3/7 Which is the closest to 6? (a) -1321557 (b) -2 (c) -3 b Which is the nearest to 0? (a) 0.14 (b) 0.027 (c) -5 (d) 50 (e) 2 b Which is the nearest to -1/3? (a) 0.322 (b) 1 (c) -1226 (d) -2 a Which is the closest to -25/103? (a) -4 (b) 0.075 (c) -5 (d) 0.7 (e) -15 (f) 1/2 b What is the nearest to -3 in 3/4, 37, 99, -64? 3/4 Which is the nearest to -27? (a) -2/24469 (b) 0.5 (c) -0.5 (d) -46 (e) -1 (f) 1 d What is the closest to 32 in -0.5, -4, 1/110130? 1/110130 What is the nearest to -625 in 0.7, -1/2, 0.2, -2/1765? -1/2 Which is the closest to -5? (a) -3/194 (b) -2/5 (c) -489 b Which is the nearest to -3? (a) -6267 (b) -5 (c) 1 (d) -3 d Which is the closest to 2382? (a) -3 (b) 1/9 (c) 30 c Which is the closest to 1? (a) -87/44 (b) 0.2 (c) -11 (d) 4 (e) -0.4 b Which is the nearest to -4/7? (a) 0 (b) -3973/26 (c) 1/4 a What is the closest to 386 in 4/11, 0.3, -21, 2, -5? 2 Which is the nearest to -2? (a) 3 (b) -3/7 (c) -898/1009 c What is the nearest to 178 in -164, -1.3, 2/9? 2/9 Which is the closest to -1/3? (a) -2/2045 (b) 4 (c) -2 (d) -3 (e) -1.4 (f) 7 a Which is the closest to -137.81? (a) 0.5 (b) 0.4 (c) -0.017 (d) -4/7 d Which is the nearest to -0.1? (a) -4/7 (b) -2 (c) 0.05 (d) 31/3 (e) -4 c Which is the nearest to 129499? (a) 0.5 (b) 0.2 (c) 2/17 a Which is the nearest to 11? (a) -6 (b) 3 (c) -3 (d) 1.296 (e) 1/5 b What is the nearest to 1 in -0.5, 2/5, -8433119? 2/5 What is the closest to 0 in 3, 0.4, 1/15, 4/5, 12874? 1/15 Which is the nearest to 1? (a) 1081 (b) 11 (c) 2 (d) -3/13 (e) 3/5 e Which is the closest to -1/3? (a) -569.3 (b) -0.087 (c) 0.5 b Which is the nearest to -39/980? (a) 0 (b) 0.2 (c) -3/8 (d) -2/3 a What is the closest to 0 in 5, 122, 373, -4/137, 3/2? -4/137 Which is the closest to 1? (a) 5 (b) -18 (c) -9649.5 (d) -2/5 d Which is the nearest to 41/5? (a) -8 (b) 1 (c) 3/2 (d) -2/251 c Which is the closest to 2/35? (a) 1/4 (b) -98912 (c) 5 (d) -3 (e) -5 (f) -0.2 a Which is the closest to -2/5? (a) 0.3 (b) 1/11 (c) -30431 (d) -26 b What is the closest to -3 in 54, -5, -0.08, -69? -5 Which is the closest to -1/4? (a) -0.2 (b) -39.6 (c) -3/5 (d) 0 (e) -5/7 a What is the nearest to -2 in 2/11, 0.5, -2, 0.4345, -5? -2 Which is the nearest to 31/7? (a) -5 (b) -3/5 (c) -14814 b What is the closest to 1153 in -1, 212, -3? 212 What is the nearest to -28 in 8, -3, 4, 1, -707? -3 Which is the nearest to -1? (a) 5 (b) 55/13 (c) -2/35 (d) 2/19 (e) -1/2 (f) -5 e What is the nearest to 0.07 in 6902, 37/3, 0.2? 0.2 What is the closest to -3 in -372, 4/15, -85? 4/15 What is the closest to 0 in 0.2, -77, -58/5, 5, 7? 0.2 Which is the nearest to -0.1? (a) -6 (b) -2 (c) -4.9 (d) -0.2 (e) 39 d What is the nearest to -0.6 in -1/3, -0.3, -1363, 0, -33? -1/3 What is the nearest to 301 in -23, -1/4, 2, 4, 0.074? 4 What is the closest to -1 in -4, -291/4, -1/3, -4/63, 0.3? -1/3 What is the closest to 0 in -1/22, -2/11, -2/7, 43, 320/13, 3/2? -1/22 Which is the closest to -99? (a) 2/11 (b) 5 (c) -7/6 (d) -456 c What is the closest to -3 in 302908, -0.3, -1, -0.5? -1 What is the nearest to 64 in -0.07, 5, 4/5, 4, 0.019, -0.2? 5 What is the nearest to 59 in 0.2, 0.208, 3, -7/2, -1? 3 Which is the closest to -631? (a) -2 (b) -0.06 (c) -2/15 (d) -1/539 (e) -1.5 a What is the closest to 0.1 in 2/17, -1, -0.2, 146, -296? 2/17 What is the nearest to 0.1 in 3/5, 1/31, 225047? 1/31 Which is the closest to -0.1? (a) 21/86 (b) 1/4 (c) -0.02 (d) 0.1 (e) 0.2 (f) -9 c Which is the closest to 0.3? (a) -1933/5 (b) -1 (c) -3 b Which is the nearest to -5016? (a) -2/5 (b) 2204 (c) 5 a What is the nearest to 1/6 in -4/3, -3, 719, -6? -4/3 What is the nearest to -23/50 in -4, 14, 5, 0, -10? 0 Which is the closest to -13? (a) -94/5 (b) 4 (c) -2/5 (d) 0.2 (e) 26 (f) 12 a Which is the closest to 2? (a) -0.291 (b) 52684 (c) -1 a Which is the closest to 1? (a) -1713 (b) -2 (c) 29 (d) 1 (e) 2 d What is the nearest to 4/13 in 11.522, 10, -1.3, -4/3? -1.3 What is the nearest to -18 in 0, 0.5, 70.99, -2/13, -0.1? -2/13 Which is the closest to -881/34? (a) -0.5 (b) -2/13 (c) -74.2 a Which is the closest to -11230? (a) -0.4 (b) -15 (c) 0.1 b Which is the nearest to 16? (a) -5 (b) -64 (c) -0.4 (d) 0.02 (e) -0.671 d Which is the nearest to 0.89? (a) 0.4 (b) 0.2 (c) -5.09 (d) -3 a Which is the nearest to 2/79? (a) 330/167 (b) -1 (c) 2 b What is the nearest to 2/5 in -5, -4, 5/12, 4, 1.17? 5/12 Which is the closest to 10720/3? (a) 3 (b) 0.05 (c) -2 (d) 6 (e) -3/4 d Which is the nearest to 27? (a) -14 (b) 0.01 (c) -2/355 (d) 3 d What is the nearest to -1/2 in -6.42, -2/5, -5, 2/11, -0.06, 42? -2/5 Which is the nearest to -0.1? (a) -5471 (b) -0.7 (c) 109 b What is the nearest to 1 in -0.572, -0.4, 2, 105/37? 2 Which is the closest to 1? (a) 0.17 (b) -0.2 (c) 1088 (d) 2/5 d What is the closest to -262/11 in -4/227, 0.3, -0.3? -0.3 What is the nearest to 1/2 in -34/7, -21/4, -4, 1/5, 2/9? 2/9 What is the nearest to 2/359 in -15, 11, -29? 11 Which is the nearest to 2982? (a) -5 (b) 1 (c) -17 (d) -1 b What is the closest to 9755049 in -2, 1/5, 5? 5 What is the closest to -0.1 in -0.6, 2/7, 1/5, 3435, -0.02? -0.02 What is the closest to -2/7 in 6.83, 1/4, 28, -2, -3? 1/4 What is the closest to -7956/5 in -24, -7, 0.3? -24 Which is the nearest to 8? (a) 1/6 (b) -2 (c) 3 (d) -102428 (e) 5 e What is the nearest to -22113 in -2, 1, -28? -28 Which is the closest to 0.2? (a) -1/7 (b) -0.3 (c) 7.576 (d) -102/13 a Which is the nearest to -1/4? (a) 0 (b) -0.36 (c) 795032 b What is the closest to 0.199 in 0, -64, -2, -1/29, 1/9? 1/9 What is the closest to -2 in 6.86, 0.04, -3/2, 2/5, 1, -0.1? -3/2 Which is the nearest to 0.12? (a) -1224 (b) 0.2 (c) -1/3 (d) -15 b Which is the closest to -1? (a) -6 (b) -6/11 (c) -1/5 (d) 28 (e) -3 b Which is the closest to -4? (a) -5 (b) 0.2 (c) 0.0723 (d) 2 (e) -1.6 (f) 4 a What is the closest to 0.1 in -1/14, -13/18, 0.3, -2/9, 34? -1/14 Which is the closest to -10? (a) 1005 (b) -1 (c) 0.4 (d) 1 (e) 6.8 b What is the closest to -84/11 in 1, -1/3, -49.9? -1/3 Which is the nearest to 0.2? (a) 0.26 (b) 813 (c) -80 a Which is the closest to -2/3? (a) 23/2600 (b) -1/5 (c) -0.04 (d) -1/7 (e) 1/4 b What is the closest to -65/6 in 8715, -0.1, -3? -3 What is the closest to 85 in -1.4, 0.4, 4, 5, 4.5? 5 Which is the nearest to -0.1? (a) -0.4 (b) 5 (c) 0.1 (d) -2/229929
{ "pile_set_name": "DM Mathematics" }
ters picked without replacement from {y: 6, f: 4}. Give prob of picking 3 y. 1/6 What is prob of picking 1 c and 1 n when two letters picked without replacement from zsnzssmsmcmnmznnf? 1/34 Three letters picked without replacement from {n: 1, m: 4, g: 2, j: 2, k: 6}. Give prob of picking 1 j, 1 m, and 1 n. 8/455 What is prob of picking 1 i and 1 a when two letters picked without replacement from violaoei? 1/14 What is prob of picking 1 h and 1 d when two letters picked without replacement from {h: 4, k: 2, d: 1}? 4/21 Four letters picked without replacement from {b: 10, z: 3, h: 2, e: 1}. What is prob of picking 1 b, 1 e, and 2 h? 1/182 What is prob of picking 1 r and 2 l when three letters picked without replacement from {o: 3, l: 2, r: 4, j: 1}? 1/30 What is prob of picking 2 m when two letters picked without replacement from {c: 1, m: 5, e: 4, g: 4, z: 1}? 2/21 Three letters picked without replacement from {r: 1, b: 1, u: 3, e: 2, a: 1, y: 4}. What is prob of picking 1 a, 1 u, and 1 e? 3/110 Calculate prob of picking 1 w and 1 l when two letters picked without replacement from {w: 1, j: 1, l: 1, y: 1, p: 1}. 1/10 Two letters picked without replacement from {d: 1, w: 1, p: 1, r: 4, e: 2, v: 3}. Give prob of picking 1 p and 1 e. 1/33 Two letters picked without replacement from {q: 3, h: 2, d: 3, m: 2, z: 1, y: 1}. Give prob of picking 1 y and 1 q. 1/22 Three letters picked without replacement from {l: 1, m: 3, r: 3, x: 1, g: 2, d: 5}. What is prob of picking 1 g and 2 r? 6/455 Three letters picked without replacement from {t: 2, h: 7}. Give prob of picking 3 h. 5/12 Two letters picked without replacement from {p: 1, t: 1, j: 1}. Give prob of picking 1 j and 1 t. 1/3 Calculate prob of picking 4 s when four letters picked without replacement from sspssssssepssssss. 143/340 What is prob of picking 1 l and 2 k when three letters picked without replacement from lkllklklkllkkllk? 27/80 What is prob of picking 2 z and 1 l when three letters picked without replacement from zlyzylzzzyyyzzzyz? 9/85 What is prob of picking 3 o and 1 y when four letters picked without replacement from ooooyzzyz? 4/63 Four letters picked without replacement from {x: 16, r: 2}. What is prob of picking 3 x and 1 r? 56/153 Four letters picked without replacement from bbsbbbdadbdsk. Give prob of picking 3 d and 1 a. 1/715 Three letters picked without replacement from {u: 3, z: 7, a: 3, f: 6}. Give prob of picking 3 u. 1/969 Four letters picked without replacement from knuqmmc. What is prob of picking 1 k, 1 n, 1 u, and 1 m? 2/35 Four letters picked without replacement from {i: 1, q: 6, z: 11}. Give prob of picking 1 i and 3 q. 1/153 What is prob of picking 2 y and 1 c when three letters picked without replacement from {g: 2, c: 4, q: 2, s: 3, y: 2}? 2/143 Two letters picked without replacement from fpffeddpmpp. What is prob of picking 1 d and 1 e? 2/55 Calculate prob of picking 1 c and 1 z when two letters picked without replacement from shszznrhc. 1/18 Four letters picked without replacement from {z: 6, f: 13}. What is prob of picking 3 z and 1 f? 65/969 Calculate prob of picking 4 v when four letters picked without replacement from {i: 4, v: 16}. 364/969 Calculate prob of picking 2 p when two letters picked without replacement from {m: 3, p: 3}. 1/5 What is prob of picking 3 t when three letters picked without replacement from hxxkphsttktp? 1/220 Calculate prob of picking 1 q and 1 d when two letters picked without replacement from {q: 1, p: 8, d: 8}. 1/17 What is prob of picking 3 x and 1 b when four letters picked without replacement from xbccbcxccxccccxx? 1/91 Two letters picked without replacement from zgozzzgooozozozo. Give prob of picking 1 o and 1 g. 7/60 What is prob of picking 1 a and 2 r when three letters picked without replacement from rvxrraxvxarx? 3/55 Four letters picked without replacement from kcwnkcckzkee. What is prob of picking 1 k, 2 c, and 1 w? 4/165 What is prob of picking 4 l when four letters picked without replacement from {l: 6, a: 3, v: 3, r: 3}? 1/91 Four letters picked without replacement from xnqqqnnxqdwnnxnkkxn. What is prob of picking 1 q, 2 x, and 1 w? 2/323 Four letters picked without replacement from {w: 14, j: 5}. Give prob of picking 2 j and 2 w. 455/1938 Calculate prob of picking 1 i and 1 z when two letters picked without replacement from izzziiii. 15/28 Calculate prob of picking 1 a and 1 v when two letters picked without replacement from {a: 1, v: 14, t: 2, j: 2}. 14/171 Calculate prob of picking 2 o and 1 i when three letters picked without replacement from {o: 5, k: 5, i: 2}. 1/11 What is prob of picking 3 k when three letters picked without replacement from kkkkk? 1 Calculate prob of picking 1 i, 1 r, and 1 u when three letters picked without replacement from rictucu. 2/35 Two letters picked without replacement from {f: 2, x: 7}. Give prob of picking 1 f and 1 x. 7/18 Four letters picked without replacement from {o: 1, h: 1, y: 2, l: 3}. Give prob of picking 1 l, 1 y, and 2 o. 0 Three letters picked without replacement from {p: 3, i: 3}. Give prob of picking 2 p and 1 i. 9/20 Calculate prob of picking 2 d when two letters picked without replacement from dyyyyqdyyyydydldqddy. 21/190 Four letters picked without replacement from {w: 8, o: 1, p: 2, l: 4, y: 1, c: 4}. Give prob of picking 1 l, 1 y, 1 o, and 1 c. 16/4845 Two letters picked without replacement from {r: 6, e: 1, t: 3, q: 2, p: 2}. Give prob of picking 1 e and 1 q. 2/91 Calculate prob of picking 1 p and 3 g when four letters picked without replacement from {u: 1, c: 1, q: 1, p: 1, n: 1, g: 2}. 0 Calculate prob of picking 2 q and 1 f when three letters picked without replacement from cfqqa. 1/10 What is prob of picking 1 b, 1 j, and 2 l when four letters picked without replacement from gnlbmjglb? 1/63 Calculate prob of picking 1 u and 1 q when two letters picked without replacement from gppqqqqplpglpqqpup. 2/51 What is prob of picking 1 b, 1 g, and 2 w when four letters picked without replacement from {g: 3, b: 7, w: 8}? 49/255 Four letters picked without replacement from {q: 6, l: 4, a: 3, v: 2, g: 2}. Give prob of picking 2 l, 1 a, and 1 q. 27/595 Two letters picked without replacement from {r: 7, f: 5}. Give prob of picking 1 f and 1 r. 35/66 What is prob of picking 1 r, 1 u, and 2 h when four letters picked without replacement from rrrrhhyuhhhyhyhhry? 7/153 Two letters picked without replacement from {q: 7, b: 3, h: 2, g: 5}. Give prob of picking 1 b and 1 q. 21/136 Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {t: 1, e: 2, u: 2, v: 6, l: 7}. 4/51 Two letters picked without replacement from {v: 7, w: 1, q: 1}. What is prob of picking 1 v and 1 w? 7/36 Two letters picked without replacement from {q: 2, o: 1, e: 2, h: 4, y: 1}. Give prob of picking 1 h and 1 e. 8/45 Calculate prob of picking 2 k and 1 w when three letters picked without replacement from ykkyykwykkwyykkkyy. 7/102 Calculate prob of picking 1 u, 1 x, and 1 e when three letters picked without replacement from {y: 2, u: 2, x: 1, e: 1}. 1/10 Three letters picked without replacement from {n: 3, t: 7, r: 3, w: 1}. What is prob of picking 2 n and 1 r? 9/364 What is prob of picking 1 l, 1 s, and 2 o when four letters picked without replacement from osoolloot? 10/63 Two letters picked without replacement from {i: 1, u: 1, n: 3, t: 2}. Give prob of picking 1 u and 1 n. 1/7 Four letters picked without replacement from {w: 4, f: 1, r: 2, j: 3, i: 3, m: 2}. Give prob of picking 1 j, 2 i, and 1 m. 6/455 Three letters picked without replacement from ivgzzzzziii. What is prob of picking 2 z and 1 v? 2/33 Four letters picked without replacement from nuuddunddduudduu. What is prob of picking 3 d and 1 n? 1/26 Two letters picked without replacement from eeegezzyzzzedzdzdeye. Give prob of picking 2 e. 21/190 Four letters picked without replacement from {r: 1, q: 6, v: 1, s: 2, x: 3}. What is prob of picking 2 x, 1 s, and 1 q? 36/715 Calculate prob of picking 2 u when two letters picked without replacement from {u: 3}. 1 Four letters picked without replacement from rrzrrrzrrrrr. Give prob of picking 4 r. 14/33 Two letters picked without replacement from {v: 4, m: 1, i: 4, g: 1, h:
{ "pile_set_name": "DM Mathematics" }
hat is 5008.591m in kilometers? 5.008591 What is thirteen quarters of a microsecond in nanoseconds? 3250 What is 1/20 of a litre in millilitres? 50 Convert 9.815173 millennia to months. 117782.076 Convert 0.4182253m to millimeters. 418.2253 How many millilitres are there in 31/2 of a litre? 15500 What is 0.79364 litres in millilitres? 793.64 What is 34/5 of a kilometer in meters? 6800 What is 2/125 of a gram in milligrams? 16 What is 437531.2 weeks in days? 3062718.4 What is 6/5 of a microsecond in nanoseconds? 1200 How many micrograms are there in 7/8 of a milligram? 875 How many kilometers are there in 0.1484226 millimeters? 0.0000001484226 What is 373871.2 millennia in decades? 37387120 Convert 0.4435232ug to nanograms. 443.5232 What is seventeen quarters of a millennium in decades? 425 What is 3/10 of a litre in millilitres? 300 How many kilometers are there in 53.73032 millimeters? 0.00005373032 How many nanometers are there in fourty-nine fifths of a micrometer? 9800 Convert 962.9436mg to grams. 0.9629436 How many centimeters are there in twenty-one fifths of a meter? 420 What is 5/4 of a day in minutes? 1800 Convert 4.609819 kilograms to tonnes. 0.004609819 What is 758.1063 millennia in years? 758106.3 What is 3/32 of a millimeter in nanometers? 93750 What is three tenths of a litre in millilitres? 300 What is eleven halves of a century in months? 6600 How many micrometers are there in 25/4 of a millimeter? 6250 How many centimeters are there in seven halves of a meter? 350 How many millilitres are there in 21/5 of a litre? 4200 How many decades are there in three fifths of a century? 6 How many centuries are there in 866413.8 years? 8664.138 Convert 4.221409l to millilitres. 4221.409 Convert 137.4269um to nanometers. 137426.9 How many milliseconds are there in 9.523845 weeks? 5760021456 Convert 0.5198377 millennia to decades. 51.98377 How many minutes are there in 899.6301s? 14.993835 How many minutes are there in one quarter of a day? 360 How many kilograms are there in 29/2 of a tonne? 14500 How many millilitres are there in 0.382975l? 382.975 How many millilitres are there in seven halves of a litre? 3500 How many nanometers are there in 3/25 of a micrometer? 120 What is 1/10 of a millennium in centuries? 1 What is one tenth of a kilometer in meters? 100 What is twenty-three eighths of a decade in months? 345 What is eleven halves of a century in years? 550 What is nine tenths of a hour in seconds? 3240 What is one fifth of a hour in seconds? 720 How many seconds are there in 3/25 of a hour? 432 What is 25/4 of a century in months? 7500 What is 21/2 of a decade in months? 1260 How many minutes are there in 2.9277303 milliseconds? 0.000048795505 How many milliseconds are there in 27/5 of a second? 5400 How many millilitres are there in 26/5 of a litre? 5200 What is 29/2 of a century in months? 17400 Convert 2.448453l to millilitres. 2448.453 Convert 78.26862 nanograms to grams. 0.00000007826862 What is twenty-one fifths of a minute in seconds? 252 What is 9668.059 millilitres in litres? 9.668059 Convert 0.8422594nm to centimeters. 0.00000008422594 How many centuries are there in 150.726 months? 0.125605 What is 1/10 of a meter in micrometers? 100000 What is fourty-eight fifths of a microsecond in nanoseconds? 9600 What is 7/2 of a tonne in kilograms? 3500 How many meters are there in one tenth of a kilometer? 100 How many meters are there in 7.785643nm? 0.000000007785643 What is 15.8658 nanograms in grams? 0.0000000158658 What is 21/2 of a meter in millimeters? 10500 What is 18/5 of a litre in millilitres? 3600 What is 4/3 of a year in months? 16 What is twenty-nine fifths of a litre in millilitres? 5800 How many hours are there in 8218046.7 seconds? 2282.79075 How many minutes are there in 244.94682ns? 0.000000004082447 How many nanograms are there in three fifths of a microgram? 600 How many centimeters are there in 2.832806 nanometers? 0.0000002832806 How many millilitres are there in 0.886976 litres? 886.976 How many nanometers are there in 0.4658273 millimeters? 465827.3 What is 0.934891 seconds in nanoseconds? 934891000 How many months are there in 17/4 of a year? 51 How many millennia are there in 60408.59 decades? 604.0859 How many millennia are there in 33560.71 years? 33.56071 How many kilograms are there in thirty-one fifths of a tonne? 6200 How many days are there in 186420.636us? 0.00000215764625 What is 15.85508g in nanograms? 15855080000 What is 32431.35m in micrometers? 32431350000 What is 0.1548448l in millilitres? 154.8448 How many centimeters are there in 51/5 of a meter? 1020 What is 12910.9 decades in millennia? 129.109 What is six fifths of a microgram in nanograms? 1200 What is five quarters of a kilometer in meters? 1250 How many litres are there in 5383.274ml? 5.383274 How many micrograms are there in 29/5 of a milligram? 5800 What is 0.6976454 millilitres in litres? 0.0006976454 How many nanograms are there in three fifths of a microgram? 600 What is fourty-eight fifths of a micrometer in nanometers? 9600 What is seven halves of a kilogram in grams? 3500 Convert 65149.15 millennia to decades. 6514915 How many micrograms are there in 11/10 of a milligram? 1100 How many microseconds are there in twenty-nine fifths of a millisecond? 5800 How many centimeters are there in three fifths of a meter? 60 What is 991.6745 micrograms in grams? 0.0009916745 What is 3.859589ng in grams? 0.000000003859589 What is one fifth of a litre in millilitres? 200 What is 71/5 of a kilogram in grams? 14200 What is 45900.8 meters in millimeters? 45900800 Convert 45440.83ng to micrograms. 45.44083 What is one fifth of a tonne in kilograms? 200 What is 7.006613 days in nanoseconds? 605371363200000 Convert 6475.467 years to months. 77705.604 How many centimeters are there in 2/125 of a kilometer? 1600 Convert 6.79027 tonnes to kilograms. 6790.27 What is fifty-one eighths of a litre in millilitres? 6375 What is one fifth of a decade in months? 24 How many minutes are there in 2/21 of a week? 960 How many months are there in one sixth of a millennium? 2000 What is 5/4 of a tonne in kilograms? 1250 How many micrometers are there in one tenth of a centimeter? 1000 How many months are there in eight thirds of a decade? 320 What is 25/2 of a gram in milligrams? 12500 How many microseconds are there in 588537.8 hours? 2118736080000000 How many micrometers are there in 21/5 of a millimeter? 4200 How many seconds are there in ten ninths of a day? 96000 How many micrometers are there in 754.6285nm? 0.7546285 Convert 6.1822586 days to weeks. 0.8831798 How many nanograms are there in 135.731 milligrams? 135731000 What is 11/2 of a litre in millilitres? 5500 What is 17/2 of a centimeter in millimeters? 85 Convert 2.951609 micrograms to nanograms. 2951.609 What is 51/5 of a litre in millilitres? 10200 Convert 377515.6 weeks to microseconds. 228321434880000000 How many micrometers are there in 1/10 of a millimeter? 100 How many centimeters are there in one quarter of a meter? 25 How many nanograms are there in twenty-one fifths of a microgram? 4200 How many decades are there in 26/5 of a century? 52 What is 820.0698l in millilitres? 820069.8 How many millilitres are there in 1/5 of a litre? 200 How many nanograms are there in 308961.8mg? 308961800000 What is 57/7 of a week in hours? 1368 How many milligrams are there in thirty-one halves of a gram? 15500 How many millilitres are there in 2.155768l? 2155.768 How many grams are there in 818455.3 nanograms? 0.0008184553 What is 1/24 of a minute in milliseconds? 2500 Convert 2428.63cm to millimeters. 24286.3 What is 48/5 of a meter in centimeters? 960 How many nanograms are there in 5.873024mg? 5873024 What is 60.0468 milligrams in nanograms? 60046800 How many grams are there in fourty-three quarters of a kilogram? 10750 Convert 70.93841 millennia to months. 851260.92 What is 1/20 of a second in milliseconds? 50 What is 3/8 of a microsecond in nanoseconds? 375 What is one quarter of a litre in millilitres? 250 How many decades are there in 155.1214 years? 15.51214 How many centimeters are there in fourty-one halves of a meter? 2050 What is 9/10 of a second in milliseconds? 900 What is 174994457.4 sec
{ "pile_set_name": "DM Mathematics" }
-338? -467 What is the next term in 88, 186, 284, 382? 480 What comes next: -18, -25, -44, -81, -142? -233 What is the next term in -25, 15, 127, 347, 711, 1255, 2015? 3027 What comes next: 40, 63, 88, 115? 144 What is next in 1959, 3920, 5881, 7842, 9803? 11764 What is the next term in -33, -119, -205, -291? -377 What is the next term in -273, -540, -807, -1074? -1341 What is next in 4488, 8975, 13462, 17949, 22436, 26923? 31410 What comes next: -385, -442, -497, -550, -601? -650 What is next in 316, 308, 286, 244, 176? 76 What comes next: -85, -347, -783, -1393, -2177, -3135, -4267? -5573 What is the next term in -17, -61, -133, -233, -361? -517 What comes next: -46, -36, -32, -34, -42, -56? -76 What is the next term in 2191, 4381, 6571, 8761, 10951? 13141 What is the next term in 174, 175, 176, 177, 178, 179? 180 What is the next term in -2, -39, -94, -161, -234, -307, -374? -429 What is the next term in 22, 67, 152, 283, 466, 707? 1012 What is next in -604, -608, -612, -616, -620, -624? -628 What comes next: -61, -131, -207, -289, -377, -471? -571 What is next in -24, -21, -14, -3? 12 What comes next: 5, -31, -137, -349, -703, -1235, -1981? -2977 What comes next: -61, -88, -115, -142, -169, -196? -223 What is the next term in -96, -192, -288, -384? -480 What is next in -55, -26, 23, 92, 181, 290, 419? 568 What comes next: 80, 269, 584, 1025? 1592 What is next in -5766, -5767, -5768, -5769, -5770, -5771? -5772 What comes next: -12, -34, -80, -156, -268, -422, -624, -880? -1196 What is next in 804, 806, 806, 804, 800? 794 What comes next: -2, -49, -132, -251, -406, -597, -824? -1087 What is the next term in 4134, 8269, 12404, 16539, 20674? 24809 What comes next: -684, -1353, -2020, -2685? -3348 What comes next: 2, 11, 20, 29, 38? 47 What comes next: 788, 1577, 2366, 3155, 3944, 4733? 5522 What is the next term in 357, 354, 335, 294, 225? 122 What is the next term in -5455, -10913, -16371, -21829, -27287? -32745 What is next in -63, -55, -33, 9, 77, 177, 315? 497 What is next in -65, -73, -93, -131, -193, -285? -413 What is next in 2356, 2348, 2326, 2284, 2216? 2116 What is next in 312, 622, 930, 1236, 1540? 1842 What comes next: 209, 836, 1881, 3344, 5225, 7524? 10241 What is next in -74, -58, -32, 4, 50, 106? 172 What is next in 24, -5, -34? -63 What is the next term in -32, -55, -86, -125? -172 What is next in 797, 1589, 2377, 3161, 3941? 4717 What is next in -696, -1391, -2086, -2781, -3476? -4171 What is the next term in -1, 8, 23, 44, 71, 104, 143? 188 What is next in -961, -1902, -2843, -3784, -4725? -5666 What is the next term in 0, -3, -6, -3, 12, 45, 102? 189 What comes next: 6154, 6147, 6136, 6121? 6102 What is the next term in -21, -64, -133, -228, -349, -496, -669? -868 What comes next: 11, 49, 111, 197, 307? 441 What is next in -19, -59, -135, -259, -443, -699, -1039, -1475? -2019 What is next in -1, -17, -49, -97, -161? -241 What is the next term in 36, 42, -36, -240, -612, -1194? -2028 What is the next term in -12991, -12990, -12989? -12988 What is the next term in 3, 3, -1, -9, -21, -37, -57? -81 What comes next: 241, 475, 709, 943, 1177? 1411 What is next in -2, -23, -72, -161, -302, -507, -788, -1157? -1626 What comes next: 34, 66, 98, 130? 162 What is next in 8, 17, 32, 53, 80, 113, 152? 197 What is next in 11, -3, -21, -43, -69, -99, -133? -171 What is next in -766, -1533, -2298, -3061, -3822, -4581? -5338 What is the next term in 14, 15, 16? 17 What is next in -24, -41, -64, -93, -128, -169? -216 What is the next term in -81, -75, -69, -63? -57 What comes next: -18, -60, -134, -240? -378 What is the next term in 28, 34, 30, 10, -32, -102, -206? -350 What is next in -8, 29, 102, 217, 380? 597 What comes next: -2, 1, 0, -5? -14 What is next in 383, 397, 415, 437, 463, 493? 527 What comes next: 136, 170, 264, 448, 752, 1206? 1840 What is next in 9, 8, 3, -12, -43? -96 What comes next: -3309, -13235, -29777, -52935, -82709, -119099? -162105 What comes next: 38, 78, 118, 158, 198, 238? 278 What is next in -786, -773, -746, -699, -626? -521 What comes next: -35, -28, -19, -8? 5 What comes next: -30, -59, -88, -117, -146? -175 What is the next term in -149, -297, -445, -593, -741? -889 What is the next term in 147, 587, 1321, 2349, 3671, 5287, 7197? 9401 What comes next: -1332, -2663, -3994, -5325, -6656? -7987 What is next in -23, -43, -63, -83, -103? -123 What is the next term in 1071, 1069, 1067, 1065, 1063? 1061 What comes next: 3031, 3022, 3013? 3004 What is next in 15966, 15963, 15968, 15987, 16026, 16091, 16188? 16323 What is next in 61, 214, 475, 850, 1345, 1966? 2719 What comes next: 936, 937, 938, 939, 940? 941 What comes next: -3274, -3272, -3270, -3268, -3266? -3264 What is the next term in -77, -46, 11, 100, 227? 398 What is next in -29, -35, -43, -53? -65 What is the next term in 265, 266, 269, 274? 281 What is the next term in -50, -123, -218, -347, -522, -755, -1058, -1443? -1922 What is the next term in 40927, 40928, 40929, 40930, 40931, 40932? 40933 What comes next: 4449, 4448, 4447, 4446, 4445, 4444? 4443 What comes next: -5, -28, -71, -140, -241, -380? -563 What is the next term in 781, 777, 773, 769, 765? 761 What comes next: 2655, 2657, 2659, 2661, 2663, 2665? 2667 What is the next term in -81, -164, -249, -336, -425, -516? -609 What is next in -199, -397, -595, -793? -991 What comes next: -388, -766, -1134, -1486, -1816? -2118 What is the next term in 63, 67, 71, 75? 79 What comes next: -13, -17, -21, -25, -29, -33? -37 What comes next: 9, 8, -3, -30, -79, -156? -267 What comes next: -28, -96, -210, -370? -576 What is the next term in 650, 664, 672, 668, 646, 600? 524 What comes next: 83, 196, 309, 422, 535, 648? 761 What is next in -514, -506, -492, -472, -446? -414 What comes next: 69, 70, 71, 72, 73, 74? 75 What is the next term in -104, -99, -90, -77? -60 What comes next: -12, -45, -98, -171, -264, -377? -510 What comes next: -151, -169, -213, -295, -427, -621, -889, -1243? -1695 What comes next: 490, 488, 486, 484, 482? 480 What is next in 10067, 10068, 10069? 10070 What is the next term in 22, 60, 108, 154, 186, 192, 160? 78 What is the next term in -46, -68, -92, -118, -146? -176 What is the next term in 243, 229, 215, 201, 187? 173 What is the next term in 14, 62, 142, 254? 398 What is the next term in -141, -149, -163, -183? -209 What is the next term in 2, -28, -84, -166, -274? -408 What is the next term in 14, 6, -2, -10, -18, -26? -34 What comes next: -75, -291, -647, -1143? -1779 What is the next term in -4169, -4157, -4133, -4091, -4025, -3929? -3797 What is the next term in 4602, 4607, 4616, 4629, 4646, 4667? 4692 What is next in -48, -104, -160? -216 What is the next term in 79, 287, 625, 1093, 1691? 2419 What comes next: 29, 42, 75, 134, 225, 354? 527 What is the next term in 8778, 17556, 26334, 35112, 43890, 52668? 61446 What comes next: 2809, 5616, 8423, 11230? 14037 What is next in 135, 127, 119, 111, 103, 95? 87 What is next in -2, 17, 50, 103, 182? 293 What is next in 1368, 2736, 4104, 5472? 6840 What comes next: 94, 79, 42, -29, -146, -321, -566? -893 What is the next term in 18, 12, 8, 6? 6 What is the next term in -209, -205, -199, -191, -181, -169? -155 What is next in 74, 138, 202, 266, 330? 394 What is the next term in 216, 220, 224, 228? 232 What is the next term in -11, -10, -3, 10, 29, 54, 85? 122 What is next in -176, -151, -94, 7, 164? 389 What is next in 59, 131, 203, 275, 347? 419 What is the next term in 100, 459, 1056, 1891, 2964, 4275, 5824? 7611 What is next in 84, 170, 290, 462, 704, 1034, 1470? 2030 What comes next: 8, 35, 70, 113, 164? 223 What is next in 180, 189, 198, 207, 216? 225 What comes next: -182, -184, -186, -188, -190, -192? -194 What is the next term in -956, -968, -994, -1040, -1112, -1216? -1358 What is the next term in 32215, 32214, 32213, 32212? 32211 What comes next: -329, -331, -333, -335, -337, -339? -341 What is next in 17, 3, -27, -73, -135? -213 What is next in 59, 53, 47, 41, 35, 29? 23 What is the next term in 35, 43, 45, 41, 31, 15, -7? -35 What comes next: 19, 46, 73? 100 What is next in 2, 115, 422, 1019, 2002? 3467 What is next in 512, 513, 514, 515, 516? 517 What is the next term in 41, 82, 121, 158, 193, 226? 257 What comes next
{ "pile_set_name": "DM Mathematics" }
er: p or 0? p Suppose 7*t + 5*b = 2*t + 25, -4*t + 18 = 3*b. Suppose 4*s = 5*q + 4, t*s + 5 = -4*q - 23. Let a(z) = -z**2 - 5*z - 5. Let j be a(q). Is j bigger than 2/17? False Suppose 0 = -4*b + 251 - 187. Let j(v) = -v**2 + 10*v - 6. Let i = -36 - -43. Let s be j(i). Is s at most b? True Suppose 4*a + 122 = -5*v - 615, 3*v + 15 = 0. Let n be (a/28 - -6)/(-5). Does -1 = n? False Suppose -b - 2*b + 18 = 0. Let a be 9/b - 46/20. Let q = -24.387 - -24.187. Is q at most as big as a? False Suppose -3*c - 1 = a, 2*a = 3*a + 4*c + 2. Let b = -71.03 - -71. Which is bigger: a or b? a Let r be (-1359246)/(-67962) - 11 - (-3 - -12). Is 1 <= r? False Let f be -17 - -30 - 114*5. Which is greater: f or -560? f Let k = -3530 + 3652. Let t be (-1)/(1/(-123)) - 1. Is k less than t? False Let t be (-2110)/(-125) + 287/205. Which is greater: t or 19? 19 Let l = -3 - -23/7. Let c = 38.81 + -12.41. Let n = c + -25. Which is smaller: l or n? l Let u = 101 - 84. Suppose -f - 3*c + c = 11, u = -3*f + 2*c. Let w = -23 + 26. Which is smaller: f or w? f Suppose 5*x = -20, 0 = -i - 3*i + x - 420. Let g be -1*4/(-8) - i/4. Suppose 0 = -3*u - g - 30. Is u bigger than -17? False Suppose 3*x = -9*x - 9*x - 21. Let y be 4/14 + 30/189. Do x and y have different values? True Suppose -12 = 75*k - 98*k + 11. Do -781 and k have the same value? False Let r = -11832 - -11832.04. Do 15 and r have different values? True Let d be (-9)/(-24) - (44102646/(-144))/(-49). Is -6251 equal to d? False Suppose 0*l - 393 + 15814 = -7*l. Is -2202 greater than or equal to l? True Suppose -5*t - 376 = -t. Suppose 4*w + 20*f = 15*f - 331, -3*f = 5*w + 443. Is t at most as big as w? True Suppose j + 3*v = -1392 + 1348, 3*j + 84 = -3*v. Suppose 1 = 3*i + 52. Is i less than j? False Suppose -3*p = -326 + 1004. Let z = p - -141. Does z = -85? True Let l = 159 - 56. Let x(y) = -8*y + 199. Let d be x(12). Is l greater than d? False Let o(a) = -a - 15. Let i be o(-8). Let p = 39 - 20. Suppose -14*f + p = 145. Is f greater than i? False Suppose 208*s + 114 = -94. Is 9/1763 > s? True Let b = 8.336 - 0.336. Let r = 14 + -169/12. Is r at most b? True Let d(j) = -407*j - 3974. Let p be d(-9). Is -311 != p? False Let w = 6.96 - 6.9339. Let m = w + 0.0739. Is m smaller than 125? True Suppose -3*g - 2*k - 171 = 0, -22*g = -19*g + k + 168. Let i = -93 - -37. Is i at most as big as g? True Let t(i) = i**3 - 21*i**2 - 23*i + 26. Let u be t(22). Suppose -b = -u*b. Suppose -6*r - 3 + 3 = b. Which is greater: r or -1/53? r Let c(h) = 2*h**3 + 13*h**2 - 10*h - 17. Let g be c(-7). Suppose -g*j + 0*n = 3*n + 175, 3*n + 15 = 0. Which is smaller: j or -44? -44 Suppose 181866 + 95612 = -337*m + 80333. Which is smaller: -564 or m? m Let t = 5523/5 - 1088029/985. Which is bigger: 0.1 or t? 0.1 Let r(u) = -2*u**2 + u - 4. Let d be r(-3). Let p be 1/(-5) + (20/d - -3). Let f = 53 - 154/3. Which is greater: p or f? p Let j be 0/((-1)/(-1)) - 1. Suppose -4*f + 3 + 9 = -x, 0 = 5*f + 5. Let d be (-24)/x*(-2)/141*-2. Which is smaller: j or d? j Let v be ((-8)/(-30))/(52/(-130)) + 1 + 0. Is -1155 at least as big as v? False Let y be ((-5212)/3)/(((-9)/15)/(180/200)). Do 2605 and y have the same value? False Suppose -129*f - 253 = 19759 + 9142. Is f bigger than -1577/7? False Let v = -9794 + 9876. Is -4 >= v? False Let w be -4*(1 + 1 - 3). Let c be ((-288)/3)/w*1/1. Let z = -66 - c. Is z equal to -41? False Let c(a) = -a - 7. Let h be c(-7). Suppose -3*v + 3 + 0 = h. Let k be (-3)/(-4) + (-10208)/13440. Which is smaller: k or v? k Let f(a) be the second derivative of -a**3/6 + 31*a**2/2 + 9*a. Let p(k) = -k + 61. Let s(i) = 11*f(i) - 6*p(i). Let h be s(-5). Is 1/2 bigger than h? True Let h be (-24)/(-60) - 246/(-10). Suppose -5*x = h, 14*p - x = 17*p + 17. Which is bigger: p or -3? -3 Let h = -440 - -516.7. Let b = 50 - h. Which is smaller: b or 1? b Suppose 16117 + 6545 = 94*m - 10426. Are m and 354 nonequal? True Suppose 1829*q + 4*s - 7784 = 1833*q, -3*s = q + 1922. Which is bigger: -1938 or q? -1938 Let k(c) = -c**2 + 3*c + 10. Let u = -76 + 81. Let h be k(u). Suppose h*w = -3*w + w. Which is smaller: w or -1/30? -1/30 Suppose 2*t = -16 + 28. Suppose 20 = 4*y, t*r - 8*r = 4*y + 116. Is -68 smaller than r? False Suppose 3*a - v - 52 = 588, 4*a = 4*v + 848. Suppose -13*n - a - 475 = 0. Is n < -53? False Let x = -27.031 - -2.031. Let n = -14 - -8. Let b = 5 + n. Is x less than or equal to b? True Let g = 0.04709 + 0.44681. Is 0.1 >= g? False Suppose -4*d = -d + 642. Suppose -3073*u + 5*t = -3076*u - 562, 690 = -3*u + 3*t. Are u and d equal? True Let j(o) = 2*o**2 + 68*o - 67. Let a be j(-35). Suppose 2*t + 152 = -a*z, -8*z + 4*t = -11*z - 154. Which is smaller: z or -52? -52 Let g = -213/80 - -49/16. Is -115 at most as big as g? True Suppose 5*o - t = -0*t + 795, 0 = -4*o - 2*t + 636. Let s = -441 + 544. Let d = s - o. Which is smaller: -55 or d? d Let z(q) = 6*q**3 - 20*q**2 - 10*q - 18. Let w be z(4). Is w >= -14? True Let a(d) = d**3 - 17*d**2 + 19*d - 29. Suppose -36 = -3*n + 4*p, 4*n - 4*p = -0*p + 52. Let t be a(n). Is 59/3 at most t? False Suppose -31*z + 9755 - 9538 = 0. Which is smaller: 4/39 or z? 4/39 Let d = -83.8348 + 0.0348. Let m = -75 - d. Let v = -8.77 + m. Is v greater than or equal to 0? True Let w = 22611 - 519933/23. Are 5 and w nonequal? True Let r(s) = -2519*s - 4248. Let d be r(-2). Which is smaller: d or 787? 787 Let z = -72.105 - -72. Let w = 0.188 - z. Which is smaller: w or -1? -1 Suppose 0*s = -3*s - 213. Let j = 1736 + -1808. Do j and s have different values? True Suppose 102*k = -5*g + 104*k + 16, -26 = -g + 8*k. Is g not equal to -49/5? True Let v = -0.00734 + 0.12734. Which is smaller: -146 or v? -146 Suppose 6*m - 40 = -2*m. Suppose -o + 12 = -5*u - m, 4*u = -12. Suppose o*k + 8 = -t, -t - 22 = 5*k + t. Which is greater: -7 or k? k Suppose -129 - 1470 = 41*c - 41. Let l = -9 - -5. Does l = c? False Let j(a) = -5*a - 57 + a + 12*a. Let v be j(-3). Does v = -81? True Suppose 341*j + 344*j - 690*j - 355 = 0. Which is smaller: j or -353/5? j Let a be 5*-2*2/10. Let k be (-1 - 2 - 0) + -4*23. Let r be 0 - -1 - k/(-75)*3. Is r at least a? False Suppose 6181 = -528*f - 2140 - 1711. Let i = 13 + -5. Let m(x) = -x**2 + 6*x - 4. Let j be m(i). Which is smaller: j or f? j Let w = -4358 + 4369. Suppose a - 3*g + 10 = 6*a, -5*a + 30 = -g. Let n be (a + (-2 - 2))/((-1)/w). Which is greater: n or -9? -9 Suppose 9*c = 15*c + 144. Let x be 13/c + 2*(-6)/(-36). Which is smaller: 1 or x? x Suppose -691*i + 3*d = -689*i + 1579, -4*i = -3*d + 3167. Is -0.3 at most i? False Let c = -31 - -43. Suppose x + 13 - c = 0. Let w = -195 - -2539/13. Is x <= w? True Let n = 40671 - 39835.32. Let d = n - 832. Are d and -1/3 equal? False Let c = -103 + -11. Let s(y) = y**2 + 41*y - 34. Let o be s(-39). Which is greater: c or o? o Let r = 106318 + -641297/6. Let w = 563 + r. Let j = 1 + -2. Is j bigger than w? True Let z(l) = -87*l + 958. Let x be z(11). Which is bigger: x or 17/121? x Suppose -1387 = 3*w + 3*a - 1408, 5*w - 29 = -4*a. Is w smaller than 35/34? True Let n = -0.02532 + -91.93468. Let d = -92 - n. Which is smaller: d or 5? d Let v(o) = -o**3 - 15*o**2 - 39*o - 3. Let z be v(-12). Let p be 8 + -10 - (3 + z/(-6)). Which is smaller: p or 7/15? 7/15 Let w be -6 + 9 + (1 - 2). Let h(r) = -r**3 + 5*r**2 - 4*r - 2. Let f be h(w). Let x be (-3 - -27)/(-3)*9/(-18). Which is bigger: f or x? x Let q = -28434 + 38468. Which is bigger: q or 10033? q Suppose -4*z = -424 + 456. Let i be z/(-42)*90/(-60). Which is smaller: i or 1/5? i Suppose -n - 4*i = 0, -4*i + 8 = -n + 4*n. Let t be (-2)/(-44)*n - 6/(-3). Which is smaller: 3 or t? t Suppose s + 2*c - 8 = 0, -c + 6*c = -3*s + 27. Let j = 44263 - 44250. Which is smaller: s or j? j Let g(m) = -5*m**3 - 8*m**2 - 79*m - 54. Let r be g(-8). Which is smaller: r or 2625? 2625 Let c = 49 + -50. Let g = -3853/4970 - -52/71. Let h = 11/210 - g. Are c and h equal? False Suppose 449605 + 131437 = 201*l - 328885. Is l at least as big as 4529? False Let d = -6465 - -4119. Which is smaller: d or -2345? d Let r = 69/187 - -7054/187. Let u be (65761 - 0)*3/5181. Let f = u - r. Which is smaller: f or 0? f Let v(i) = i**3 - 2*i**2 - 1. Let r be v(2). Let j = 615/46 + -38837/2898. Is j at most r? Fal
{ "pile_set_name": "DM Mathematics" }
sqrt(684) + sqrt(684)*-1 - sqrt(684)) - ((sqrt(684) - (sqrt(684) + -1*sqrt(684)))*-3)**2) + 3*(0 + sqrt(684)) + -3. -6154 + 24*sqrt(19) Simplify (sqrt(931) + 0 - sqrt(19)) + sqrt(76)/(sqrt(4)*-3) - (2*(1 + sqrt(2736)))**2*-5. 1457*sqrt(19)/3 + 54740 Simplify (-1*((sqrt(91) + -1*sqrt(91))*5 - sqrt(91) - sqrt(91) - sqrt(91) - sqrt(91)))/((sqrt(63) - (sqrt(63) + sqrt(189)/sqrt(3))*5)/sqrt(9)). -4*sqrt(13)/9 Simplify -1*(5*(sqrt(198) + sqrt(22)))/sqrt(128). -5*sqrt(11)/2 Simplify (sqrt(196) + sqrt(196)*3*1 + sqrt(196) - sqrt(196) - sqrt(196))/(-2*sqrt(7)*6) + 1. -sqrt(7)/2 + 1 Simplify ((-1 + sqrt(396))*4 + sqrt(396) + (-1 + sqrt(396))*-3 + -3 + (sqrt(396) + sqrt(396) + -1 + 4 - sqrt(396)))**2. -36*sqrt(11) + 3565 Simplify -4 + sqrt(891) + -1*sqrt(891) - (0 + (3*sqrt(704))**2 + sqrt(704)). -6340 - 8*sqrt(11) Simplify (1*sqrt(264)*-5)/sqrt(6) - 3*(sqrt(44) + sqrt(396)*-3 - sqrt(44)). 44*sqrt(11) Simplify ((((sqrt(3) + -2)*-6 - (0 + sqrt(3)*2)) + 4*(-3*sqrt(3) - sqrt(3))*3)*3)**2. -12096*sqrt(3) + 85968 Simplify -4*(-4 + (1*sqrt(700) - sqrt(700) - sqrt(700) - sqrt(700))**2*-3)*1. 33616 Simplify ((sqrt(180)/(sqrt(6)*-4))/(sqrt(6) + (sqrt(6) - (sqrt(594)/sqrt(11) + sqrt(54)))))**2. 5/256 Simplify 1*((1 + (sqrt(704) - sqrt(704)*-2 - sqrt(704) - sqrt(704)))**2 + sqrt(704) + ((sqrt(704) - (sqrt(704) + 1))**2 - sqrt(704)) + sqrt(704) + 4)*5*-3. -10650 - 360*sqrt(11) Simplify (sqrt(66) - (sqrt(66) + sqrt(66)*1)*2 - sqrt(66))/(sqrt(294)*4). -sqrt(11)/7 Simplify (-3 + -3*((-1 + sqrt(2448))*4 + -3*(0 + sqrt(2448))))**2. -648*sqrt(17) + 22113 Simplify (-2 + (sqrt(7) + sqrt(7) + sqrt(42)/(sqrt(30)/sqrt(5)) - (sqrt(28)/sqrt(4) + 4)))**2 + 3. -24*sqrt(7) + 67 Simplify (3 + (sqrt(648) + sqrt(648)*-1 + -4)*1*3)**2. 81 Simplify (-1*sqrt(2744))/(1*sqrt(392)) + ((sqrt(847) - 2*sqrt(847)) + -4 + sqrt(847))**2*-5. -80 - sqrt(7) Simplify -5 + sqrt(833) + 2 - (-2 + (2 + sqrt(2448))**2). -2453 - 41*sqrt(17) Simplify (((sqrt(18) - sqrt(36)/sqrt(2))*5 + (sqrt(18) - sqrt(144)/(sqrt(8)*-2)))/(-3*sqrt(6)*-1*6))**2. 1/48 Simplify ((2*sqrt(190)*4 - sqrt(190)) + (sqrt(190)*2 - sqrt(190))*1)/((sqrt(720)/(sqrt(60)/sqrt(5)))/sqrt(6)). 8*sqrt(19) Simplify (4*(sqrt(114) - (sqrt(114) + -1*sqrt(114)*1)))/(sqrt(96)*1*-2). -sqrt(19)/2 Simplify ((sqrt(168)/sqrt(7)*2)/(-5*sqrt(300))*-5)**2. 8/25 Simplify (4*((-2 + (sqrt(637) - 2*sqrt(637)) - sqrt(637)) + -4 + 1 + sqrt(637) + sqrt(637))*2)**2. 1600 Simplify (3 + 3*sqrt(605) + sqrt(125)*-6 + -4)**2. -6*sqrt(5) + 46 Simplify -5*(-4*(sqrt(405) + -2) - ((sqrt(405) - (-1 + sqrt(405))) + -5))**2. -33120 + 4320*sqrt(5) Simplify (3*(sqrt(104)*-3 - sqrt(104))*3)/(2*-2*sqrt(16)/sqrt(2)). 9*sqrt(13) Simplify (sqrt(75)/sqrt(1125))/((2*sqrt(75) - sqrt(75)) + sqrt(3) + (-2*sqrt(9))/sqrt(3)). sqrt(5)/60 Simplify -4*(6*(sqrt(304) + (1*sqrt(304))**2) - (sqrt(304) + -1 + -4)). -7316 - 80*sqrt(19) Simplify -2 + (-1*(-2*sqrt(343)*1 + (sqrt(343) + 0)*4))**2 + -3. 1367 Simplify (5 + 5 + 2*(-5*(sqrt(187) + (sqrt(187) - sqrt(187)*-1) + sqrt(187) + sqrt(187) + sqrt(187)))/sqrt(11))**2. -1200*sqrt(17) + 61300 Simplify (2*(1*sqrt(170) + sqrt(170) + sqrt(170))*-2)/((-4*sqrt(540))/sqrt(6)). sqrt(17) Simplify (-5 + -2*sqrt(91)/sqrt(7) - (3 + 1 + sqrt(832)))**2*4. 720*sqrt(13) + 5524 Simplify sqrt(468)*-1 + sqrt(468) + sqrt(52)*-6 + (sqrt(65)*-5*-3)/sqrt(5) + 1. 1 + 3*sqrt(13) Simplify (6*(-1 + (sqrt(320)*-2 - sqrt(320))*3) + -2)**2. 6912*sqrt(5) + 933184 Simplify 1*((sqrt(12) + 1 - sqrt(3)) + -4 + sqrt(6)/sqrt(2)). -3 + 2*sqrt(3) Simplify sqrt(55)/(3*sqrt(5)) + ((sqrt(66)/sqrt(6))**2 - sqrt(11)) + -3 - (sqrt(77)/sqrt(7)*-3 + (sqrt(55)/(sqrt(5)*-2))**2). 21/4 + 7*sqrt(11)/3 Simplify ((sqrt(78) + (sqrt(78) - sqrt(78)*4))*-6)/(-5*sqrt(48)/sqrt(8)). -12*sqrt(13)/5 Simplify ((2*sqrt(1008)*1)/((sqrt(308)/(sqrt(22)/sqrt(2)))/sqrt(7)))**2. 1008 Simplify 2 + -1 + sqrt(52) + 4 + sqrt(4212) + 3 + 3. 11 + 20*sqrt(13) Simplify 1*((-3 + -5 + sqrt(17) + 1)*2 + -1)**2. -60*sqrt(17) + 293 Simplify 1 + (-2*sqrt(475) - (sqrt(57)/sqrt(3) + 3)**2). -16*sqrt(19) - 27 Simplify -2*(sqrt(117) + 0 + sqrt(117) + sqrt(117))**2*1*3 + -5. -6323 Simplify (2 + (-4 + (sqrt(175) - (-3 + sqrt(175) - sqrt(175))))*-1)**2. -30*sqrt(7) + 184 Simplify 5*(sqrt(40)/(sqrt(392)*2) + -1). -5 + 5*sqrt(5)/14 Simplify -4*sqrt(300)/sqrt(6)*-3*-2*-4*-5. -2400*sqrt(2) Simplify (sqrt(17) - (sqrt(1700) - (sqrt(1700) + 4))**2)*-3 - (-3 + 2*sqrt(833))**2. -3293 + 81*sqrt(17) Simplify (1*sqrt(192) - ((sqrt(9)/sqrt(3))**2 + 1)) + 4. 8*sqrt(3) Simplify (sqrt(76) + -1 + 0 + 4 + 4)*-6*2. -24*sqrt(19) - 84 Simplify (-4 + -2 + sqrt(192) + sqrt(192) + -2 + sqrt(192) + (sqrt(192) + -1 - sqrt(192)))*-5. -120*sqrt(3) + 45 Simplify -5 + (4*(sqrt(153) - (sqrt(153) + (sqrt(153) - (3*sqrt(153) + sqrt(153))))))/sqrt(9) + 1. -4 + 12*sqrt(17) Simplify (5 + (sqrt(70) - ((sqrt(70) - (sqrt(70) + 2*sqrt(70))*4) + sqrt(70)))/(-5*sqrt(640)))**2. -11*sqrt(7)/4 + 40847/1600 Simplify -1 + (sqrt(6)*4)/sqrt(3) - 5*3*(sqrt(2) + 4*sqrt(2)). -71*sqrt(2) - 1 Simplify ((sqrt(396) + -1)*-5 - sqrt(396)) + (3*(sqrt(396) - (sqrt(396) + 2)))**2 + sqrt(396) - (-1 + 3 + (sqrt(396) + 3)**2). -366 - 66*sqrt(11) Simplify ((0 + sqrt(242))**2 + 0 + (sqrt(242) - (sqrt(242) + ((1 + sqrt(242))*5)**2) - sqrt(242)))*2. -11666 - 1122*sqrt(2) Simplify (sqrt(204) + 6*((sqrt(204) - sqrt(204)*-2 - sqrt(204)) + sqrt(204)) + sqrt(204) - sqrt(204) - sqrt(204))/(2*sqrt(588))*5. 45*sqrt(17)/7 Simplify ((-3 + -2*sqrt(19))**2 - (-1 + sqrt(2736) - sqrt(2736))**2 - -5*1*sqrt(76)/sqrt(4))*3. 51*sqrt(19) + 252 Simplify -5 + (-2*((sqrt(5) - -2*sqrt(35)/sqrt(7) - sqrt(10)/(sqrt(8)/sqrt(4))) + 0))**2. 75 Simplify (sqrt(88)/(-5*sqrt(128)) + ((sqrt(99) + sqrt(99)*-2 + sqrt(99))*-6)/sqrt(9))**2. 11/400 Simplify (sqrt(108)/(sqrt(6)/sqrt(2)*5))/(((sqrt(12) - (sqrt(36)/sqrt(3) - sqrt(12)))*-2 + sqrt(12))*-3). sqrt(3)/15 Simplify 1 + ((-2 + (0 + sqrt(128) - sqrt(128) - (sqrt(162) + 1*sqrt(162) + sqrt(162))))*5)**2. 2700*sqrt(2) + 36551 Simplify (sqrt(91) - (((sqrt(91) - 3*sqrt(91))*4 - sqrt(91)) + sqrt(91)))/(sqrt(504)/sqrt(8)). 3*sqrt(13) Simplify ((sqrt(204) + sqrt(204)*1*3 + sqrt(204)*-2*2)/(1*(sqrt(768)*2 + sqrt(768))))**2. 0 Simplify (-5*(-1*sqrt(245) + sqrt(245)) + sqrt(245) + 1)**2*4. 56*sqrt(5) + 984 Simplify (-4*(sqrt(78) - (sqrt(78) + sqrt(78)*1)))/sqrt(6) - (0 + (sqrt(468))**2*-2). 4*sqrt(13) + 936 Simplify (sqrt(12) + (sqrt(588) - sqrt(588)*-1))/(sqrt(484) + (sqrt(484)*-1 - sqrt(484))) - ((sqrt(3) - -2*(sqrt(3) + -3) - sqrt(3)) + sqrt(108) + 1). -103*sqrt(3)/11 + 5 Simplify sqrt(84)/(sqrt(1200) - (sqrt(1200) - sqrt(1200)*1)) + ((sqrt(63)*-1)/sqrt(9) - sqrt(56)/(sqrt(32) - sqrt(8))). -19*sqrt(7)/10 Simplify (-1*(-1 + sqrt(2448)) - ((1*sqrt(2448)*-6 + sqrt(2448))**2 - sqrt(2448))) + 6*((sqrt(2448)*-3)**2 + -2). 70981 Simplify (4*3*sqrt(88) + sqrt(88) - sqrt(88))/(sqrt(200)*5). 12*sqrt(11)/25 Simplify ((-6*(1*sqrt(63) - sqrt(63)) - (sqrt(189)/sqrt(3) + -4 + sqrt(63))) + -2*((sqrt(630)/(sqrt(30)/sqrt(3)) + sqrt(63) - sqrt(63)) + sqrt(63)) + 5)**2. -324*sqrt(7) + 2349 Simplify (sqrt(17) + 0 + 1 + 5)**2 + ((2*sqrt(170)*-1 + sqrt(170))/sqrt(10))**2. 12*sqrt(17) + 70 Simplify (sqrt(342)/(-3*sqrt(9)*1))/(sqrt(10)/(sqrt(5)*-2) - (sqrt(14)/(sqrt(7) + sqrt(7)*2) - sqrt(2))). -2*sqrt(19) Simplify ((-1 + sqrt(13))**2 + 5 - (1 + sqrt(637))**2) + sqrt(78)/(sqrt(486) - (sqrt(486) - ((sqrt(486) - 1*sqrt(486)) + sqrt(486)))) + -1. -620 - 143*sqrt(13)/9 Simplify ((sqrt(1053)*2 - sqrt(1053)) + sqrt(1053) + 4 + -4 + 3)**2. 108*sqrt(13) + 4221 Simplify 2 + (4 + 1 + sqrt(13) + sqrt(13) - (sqrt(1053) + sqrt(1053)*-2 + sqrt(1053) + sqrt(1053))**2). -1046 + 2*sqrt(13) Simplify -4 + 3 + -4*(-3*(sqrt(192) - sqrt(192)*2))**2. -6913 Simplify (-4 + (-3 + sqrt(931) + 1 - 5*(sqrt(931) - sqrt(931)*-2)))**2. 1176*sqrt(19) + 182512 Simplify 2*-2*sqrt(833)*2 - (-1 + (-2*sqrt(17))**2 + (-3*sqrt(17))**2 + -4). -56*sqrt(17) - 216 Simplify -2*(sqrt(19)*-1 + -5 - (sqrt(19) + 2*sqrt(19)*-2)) + (sqrt(475) + -1)*-5 + 3. -29*sqrt(19) + 18 Simplify sqrt(104)/sqrt(72) + sqrt(26)/sqrt(2) + 1 - (sqrt(117)*1)**2*-1. 4*sqrt(13)/3 + 118 Simplify (6*(-2 + sqrt(2057) - sqrt(2057))*-2*-5 + -5)**2. 15625 Simplify (sqrt(14)/sqrt(2) + -1 + sqrt(28)*6)**2 + 5 + 2 + sqrt(63). -23*sqrt(7) + 1191 Simplify -2 + sqrt(35)/sqrt(5) - (sqrt(28) + 1) - (
{ "pile_set_name": "DM Mathematics" }
rt(125) + sqrt(125)*1) - sqrt(125))*6). -19*sqrt(19)/180 Simplify (sqrt(441)/(sqrt(28)*1)*-1)/(2*sqrt(900) + -1*sqrt(1296) + sqrt(1296) + sqrt(9)). -sqrt(7)/42 Simplify (-5 + -4 + 2*(sqrt(180) + 1 + sqrt(180) + 1 + sqrt(180))*-6 + 2)**2. 13392*sqrt(5) + 234241 Simplify (sqrt(2548) + (2*sqrt(2548)*-2 - sqrt(2548)) - sqrt(2548))/(sqrt(40)/((sqrt(90)*-1 - sqrt(90)) + sqrt(90))) + -5. -5 + 105*sqrt(13) Simplify ((sqrt(105)*-2*-1)/(((sqrt(35) - sqrt(140)/sqrt(4)) + sqrt(35))/sqrt(7)))/(sqrt(448)*1*2 - (sqrt(448) + sqrt(448) + sqrt(448)*1)*-5). sqrt(3)/68 Simplify (-4*(4 + -4 + 2*(sqrt(99)*1 + sqrt(99)) + (3 + -2*sqrt(99) + 3)*-6))**2. -55296*sqrt(11) + 426240 Simplify (sqrt(68) - -3*-1*sqrt(68))/(-4*sqrt(8)/sqrt(2)) - (-2*sqrt(102)*4 + sqrt(102))/(sqrt(1500)/sqrt(10)). 19*sqrt(17)/10 Simplify ((sqrt(168) - -4*2*sqrt(168))/(sqrt(12) - (sqrt(12) + sqrt(1728)*2)))/((sqrt(2) - (sqrt(6) - -1*sqrt(6))/sqrt(3)) + sqrt(72)*2 + sqrt(72)). -3*sqrt(7)/136 Simplify (-3 + (1 + 5*sqrt(700)*1 + -3 + -3)*-1)**2. -200*sqrt(7) + 17504 Simplify (2 + (-5*sqrt(1900)*-5 + sqrt(1900))**2*-1 + 3 + -1)*2. -2568792 Simplify 3 + -4 + -5*((sqrt(11) + -5 + 1*sqrt(11) - (sqrt(11) + sqrt(539))*4) + -3)**2. -49821 - 2400*sqrt(11) Simplify (-5 + 4 + sqrt(1053) + 4*sqrt(1053) + sqrt(1053) + (sqrt(1053) - (5 + sqrt(1053)*3)))**2 + -4. -432*sqrt(13) + 16880 Simplify 2*(-2*(-3*(sqrt(448) + 0) + -1 - (3 + 5*sqrt(448)*-3)))**2. -6144*sqrt(7) + 516224 Simplify (-6*-5*(sqrt(288) - (-2*sqrt(288) + sqrt(288)))*-4*-4*-4)**2. 4246732800 Simplify (-1*-5*3*sqrt(768))/(5*(sqrt(64)*-1 + 3*sqrt(16))). 12*sqrt(3) Simplify 4*(3 + (-2 + sqrt(1088) + 2 - (sqrt(1088) - (1 + -1*sqrt(1088))))**2)*5 + 2. -320*sqrt(17) + 21842 Simplify (sqrt(85) - sqrt(85)*-5*-2)/sqrt(5)*-1 + -4 + 1*(6*sqrt(2448))**2 + 2. 9*sqrt(17) + 88126 Simplify ((5*(3 + sqrt(80)*1) - (-1 + (sqrt(80) + -3)*-2))*2)**2. 2240*sqrt(5) + 16080 Simplify (2 + (-6*(sqrt(104) + sqrt(104)*2))/(sqrt(8) + (-2*sqrt(1152) - sqrt(8)))*4*3)**2. 36*sqrt(13) + 1057 Simplify (-4*sqrt(224) - -3*sqrt(112)/sqrt(8))/((5*2*sqrt(70))/(-3*sqrt(40)/sqrt(4))). 39*sqrt(2)/10 Simplify (-3*sqrt(2100) - -3*sqrt(21)*-3)/(sqrt(27)*-2 + 4*sqrt(12)/sqrt(4)). 39*sqrt(7)/2 Simplify (sqrt(2496) - -6*3*sqrt(2496))/(sqrt(3) + (sqrt(24) - (sqrt(24) - (sqrt(96)/sqrt(4) - sqrt(24))))/sqrt(8) - sqrt(192)). -152*sqrt(13)/7 Simplify 0 + (-5 + sqrt(891) + -3 - (1*sqrt(22)/sqrt(2) + sqrt(22)/sqrt(2) + 0))**2. -112*sqrt(11) + 603 Simplify 2*5*((-2 + 3 + 0 + ((sqrt(363) - (sqrt(363) + -1 + sqrt(363))) + sqrt(363) + sqrt(363) - sqrt(363)) + sqrt(363))**2 + 1). 440*sqrt(3) + 3680 Simplify (2*(((2*sqrt(30)/sqrt(5))/(sqrt(16)/(sqrt(24)/sqrt(3))) + -5)**2 + 1) + -2)*1. -40*sqrt(3) + 74 Simplify (((-2*sqrt(264)*-2)/(-6*sqrt(8)*2))/(((sqrt(432)*1 - sqrt(432)) + sqrt(12))*2))**2. 11/144 Simplify (-1*(sqrt(80) - 3*(2 + sqrt(80) + sqrt(80)) - sqrt(80))*-3 + -4*(sqrt(80) + -3) + -5*(sqrt(80) + 1))**2. 2376*sqrt(5) + 58441 Simplify ((sqrt(500)*-2 + sqrt(500) - sqrt(500))*2 + 1 + 1)**2 - (sqrt(55) - (sqrt(55) + 3*sqrt(3520)))/(sqrt(11) - (sqrt(11) + sqrt(22)/sqrt(50))). -280*sqrt(5) + 8004 Simplify -2*(2 + -6*(1 + sqrt(684)) + -4 + 1*-6*(sqrt(684) - (-3 + sqrt(684)*1 - sqrt(684))))**2*3. -595032 - 22464*sqrt(19) Simplify 5 + (((sqrt(833)*-1 - sqrt(833)) + -4)*3 - -4*-2*sqrt(425)*1). -82*sqrt(17) - 7 Simplify -1*(0 + (5*(1 + -1 + sqrt(2057) + -1)*-5)**2). -1286250 + 13750*sqrt(17) Simplify 4 + (-2 + (((sqrt(198) + (sqrt(198) - sqrt(198)*3) - sqrt(22)) + sqrt(22) - sqrt(22))/(sqrt(6)/(sqrt(48) - sqrt(3))))**2)*-3. -4742 Simplify 3 + (-4 + -2 + sqrt(720) + -1)**2 + (sqrt(720) + -1 + sqrt(720) + -3)*-3*-2. -24*sqrt(5) + 748 Simplify (sqrt(27) + sqrt(81)/(sqrt(18)/sqrt(6)) + 4 + -4 + sqrt(675)*-4 + sqrt(675))**2 + 2. 4565 Simplify sqrt(605) + sqrt(605) + sqrt(605) + 0 + (sqrt(40)*2 + sqrt(40))/sqrt(8) - (-1 + (sqrt(880) + sqrt(880)*-3)/sqrt(11)). 1 + 44*sqrt(5) Simplify 1 + (-1*sqrt(102)*-1 + sqrt(102) - -2*sqrt(102)*-1)/(sqrt(486)*2*-2). 1 Simplify (0 + sqrt(20) - (sqrt(5) - sqrt(25)/(sqrt(15)/sqrt(3) - sqrt(5) - sqrt(5))))**2 + 0 + (sqrt(490)*-1)/(sqrt(2) + (sqrt(2)*-2 - sqrt(2))*-6). -7*sqrt(5)/19 Simplify ((-1*sqrt(4455)*-2 - (1*sqrt(4455)*-1 - sqrt(4455)))/(6*4*(sqrt(11) + sqrt(22)/sqrt(2))*2))**2 + 1. 109/64 Simplify ((4 + ((sqrt(208) + 1)*1 - sqrt(208)) + 3 + -2)*-3)**2 + -4. 320 Simplify ((sqrt(3402)*2)/((sqrt(448) - -2*sqrt(448)) + sqrt(7)))/(-3*(sqrt(2) + (sqrt(20)*1)/sqrt(10) - (sqrt(2) + sqrt(6)/(sqrt(27) - sqrt(3)) - sqrt(2)))). -4*sqrt(3)/25 Simplify -5 + ((0 + sqrt(76))*-4 + sqrt(76) + -1 - (4 + ((sqrt(76) - (sqrt(76) + 1 + 0)) + sqrt(76) + sqrt(76) - sqrt(76))**2)) + -5. -92 - 2*sqrt(19) Simplify 2 + ((sqrt(432)*3*-6 + sqrt(432) - sqrt(432)) + -3)**2 + ((-5*sqrt(432)*1 - sqrt(432)) + sqrt(432) + sqrt(432) + -1*sqrt(432)*3)**2. 1296*sqrt(3) + 161147 Simplify ((-3*2*sqrt(396) + sqrt(396))/(1*sqrt(1089) + sqrt(1089) - sqrt(9)))/((-6*sqrt(252)*1 - sqrt(252) - sqrt(252))/((sqrt(56)*1)/sqrt(8))). 5*sqrt(11)/504 Simplify ((sqrt(70) + -2*sqrt(70)*-2 - sqrt(70)) + sqrt(70) + (-4*sqrt(70)*-3 - sqrt(70)))/(((1*sqrt(240))/sqrt(12))/(sqrt(6)/sqrt(3)*6)). 96*sqrt(7) Simplify (3*(-3 + sqrt(4608)) + (sqrt(4608)*-3 + sqrt(4608))*1)**2 + -1. -864*sqrt(2) + 4688 Simplify ((sqrt(65) - (sqrt(65) - -2*sqrt(65))*-5 - (1*sqrt(65) + sqrt(65))*-5)*1)/((sqrt(45) - 2*sqrt(720))/(sqrt(720)/sqrt(5)))*1. -104*sqrt(13)/7 Simplify (((sqrt(363)*-2 + 4 + sqrt(363))*-3 - (((sqrt(363) + sqrt(363) + 1 + sqrt(363))*-6 - sqrt(363)) + 4)) + 5 + -2)**2. -3388*sqrt(3) + 175741 Simplify -3 + 6*((4*-2*sqrt(1377)*-5)**2 - ((-4 + sqrt(1377) + -1)**2 - (1 + 1*sqrt(1377))**2)). 648*sqrt(17) + 13219053 Simplify 6*2*(sqrt(1792) - (-1 + sqrt(1792) + sqrt(1792)))**2 + 4 + (sqrt(28) - (sqrt(28) + sqrt(28) + 0 + -1))**2 + 2. -388*sqrt(7) + 21551 Simplify ((sqrt(300)*-2*-1)**2 - (4 + (sqrt(3)*1 + -2)**2)) + (-3*(1 + sqrt(2700)))**2*-4. -96047 - 2156*sqrt(3) Simplify (3 + ((-1*sqrt(91) + sqrt(91))*-5*6)/(sqrt(28)/(sqrt(100)*1)))*-3. -9 Simplify -2 + (2 + sqrt(7) + -1 + sqrt(7) + (sqrt(7) - -6*(sqrt(7) + 1)) - (0 + (sqrt(28)/sqrt(4)*-3 - (sqrt(84)*-2 - sqrt(84))/sqrt(12)))). 5 + 9*sqrt(7) Simplify -3*(-4*((sqrt(363)*1 + sqrt(363) + 0)*3 + 0)*-3*-4)**2. -90326016 Simplify (5 + (-3*(sqrt(68) + (sqrt(68) - 1*-2*sqrt(68)) + sqrt(68))*-3)/((-2*sqrt(108))/((sqrt(15) + 2*sqrt(15))/sqrt(5) + sqrt(3) + sqrt(3))))**2. -375*sqrt(17) + 95725/4 Simplify ((-1*sqrt(384)*-5)/(-3*sqrt(8)*1 + sqrt(8)) + -2 + (-2 + sqrt(5808) - (sqrt(48) - sqrt(384)/(2*sqrt(8)))))**2. -256*sqrt(3) + 3088 Simplify ((-1*sqrt(240) + sqrt(15) + 5*(sqrt(15) - sqrt(120)/sqrt(8)))/(sqrt(25)/(3*sqrt(5)) - sqrt(500)*2))**2. 243/3481 Simplify (2*sqrt(162) + 1 + (sqrt(162) - (sqrt(162) - sqrt(162)*-1))*-4 - (0 + 2*sqrt(162) - (sqrt(162) - (sqrt(162) + 1)*-6 - sqrt(162))))**2*-6 + 2. -97492 - 7560*sqrt(2) Simplify -1*(sqrt(19) + -2*sqrt(19) + 1)**2 + -3 + (-1 + sqrt(1216) + 4 + sqrt(19) + 5)**2. 146*sqrt(19) + 1580 Simplify (-4*((-5 + sqrt(117) + -1 - sqrt(117)) + 2))**2 - ((sqrt(52) + sqrt(6292) + -1 + sqrt(6292) - sqrt(52)) + ((sqrt(468) + sqrt(52))*5 - sqrt(52))). -82*sqrt(13) + 257 Simplify (1 + ((sqrt(147)*-1)**2 - sqrt(3)) + 2*(sqrt(12)/sqrt(4) + -1))*-1*-1*2. 2*sqrt(3) + 292 Simplify ((4*sqrt(686) - sqrt(686) - sqrt(686) - (sqrt(1134) + (sqrt(1134)*-2 - sqrt(1134))))/((sqrt(224)*2)/(4*(sqrt(2) + sqrt(32) - sqrt(2)))))**2. 8192 Simplify (-5 + ((sqrt(700)*-2*6 - (sqrt(700)*-1 + 5)) + 2 + sqrt(700) + 0 + -2)*5)**2. 30000*sqrt(7) + 1750900 Simplify (sqrt(54)/((sqrt(120)/sqrt(4) + sqrt(30) - sqrt(30))/sqrt(10) + sqrt(3)))/(6*sqrt(9)*-3*6)*1. -sqrt(2)/216 Simplify (sqrt(70)/(sqrt(5) + sqrt(35)/sqrt(7))*-6)/(sqrt(252)*-1*-2)*3 + -5. -5 - 3*sqrt(2)/4 Simplify 0 + (-2*(-1 + sqrt(38)/sqrt(2) + -4)**2 - (sqrt(931) + -1 + 4*(sqrt(19) + 2))). -95 + 9*sqrt(19) Simplify -1*(((-1*(sqrt(500) - sqrt(500)*-2))**2 - (sqrt(500) + (sqrt(500)*1)**2)*4) + -1 + (sqrt(500) - (4*(-1 + sqrt(500)) + sqrt(500)))**2 + 0). -10515 + 360*sqrt(5) Simplify (-1*sqrt(200)*-2)/((sqrt(32)/sqrt(200) + sqrt(4))*4)*-5. -125*sqrt(2)/12 Simplify (4*sqrt(441)*-1)/(sqrt(1008)*2). -sqrt(7)/2 Simplify (((sqrt(3200)*-1)/(sqrt(968)*2))/(sqrt(1800) + -2*sqrt(50)))**2. 1/968 Simplify (-4*-1*sqrt(1872) + sqrt(65)/(sqrt(20)/sqrt(4))
{ "pile_set_name": "DM Mathematics" }
rob of sequence khk when three letters picked without replacement from kkkhhkkkkkhk? 9/55 Three letters picked without replacement from bbzbbbzbzwzbzwbzzz. Give prob of sequence wzb. 4/153 Three letters picked without replacement from ccu. Give prob of sequence ccu. 1/3 Two letters picked without replacement from {s: 8, a: 8, g: 1, k: 1, w: 2}. What is prob of sequence ag? 2/95 Two letters picked without replacement from zxboblxolozezbxzb. Give prob of sequence le. 1/136 Calculate prob of sequence pccc when four letters picked without replacement from pcpkkkkckpkpzcp. 1/1092 What is prob of sequence ie when two letters picked without replacement from {b: 5, e: 1, i: 4, f: 3}? 1/39 Calculate prob of sequence uveu when four letters picked without replacement from {j: 1, u: 3, l: 6, e: 3, v: 1}. 3/4004 Calculate prob of sequence hrr when three letters picked without replacement from {r: 8, t: 1, q: 1, h: 2, x: 4}. 1/30 Two letters picked without replacement from bfvbvvvfvbvfbvfb. Give prob of sequence bv. 7/48 What is prob of sequence deed when four letters picked without replacement from {r: 4, q: 8, e: 2, d: 3}? 1/4760 Calculate prob of sequence cc when two letters picked without replacement from {q: 4, c: 2, e: 5}. 1/55 Two letters picked without replacement from {o: 1, a: 2, z: 1, i: 4}. What is prob of sequence zi? 1/14 Calculate prob of sequence gq when two letters picked without replacement from {g: 2, q: 3, u: 1, r: 13}. 1/57 What is prob of sequence akk when three letters picked without replacement from {k: 5, i: 1, j: 8, l: 3, a: 3}? 1/114 What is prob of sequence mffm when four letters picked without replacement from {f: 3, m: 4, i: 1}? 3/70 What is prob of sequence sl when two letters picked without replacement from {s: 3, l: 12, o: 1}? 3/20 Calculate prob of sequence hjh when three letters picked without replacement from uhcihhwjwwjuj. 3/286 Calculate prob of sequence ne when two letters picked without replacement from {n: 3, m: 3, e: 4, v: 1}. 6/55 What is prob of sequence ww when two letters picked without replacement from {w: 3, l: 1, s: 1}? 3/10 What is prob of sequence oqf when three letters picked without replacement from {f: 2, o: 1, q: 14}? 7/1020 Three letters picked without replacement from {u: 1, o: 5, l: 1, y: 3, c: 3}. Give prob of sequence ooc. 5/143 Two letters picked without replacement from fgfeedeeddd. What is prob of sequence ee? 6/55 Four letters picked without replacement from {n: 9, w: 1, c: 1}. Give prob of sequence nnwn. 7/110 Three letters picked without replacement from {w: 9, m: 5}. Give prob of sequence wmm. 15/182 Two letters picked without replacement from {x: 4}. What is prob of sequence xx? 1 Two letters picked without replacement from {f: 5, a: 7, t: 2}. What is prob of sequence af? 5/26 What is prob of sequence wl when two letters picked without replacement from wmolq? 1/20 What is prob of sequence oo when two letters picked without replacement from {w: 5, o: 4, g: 2}? 6/55 Calculate prob of sequence yyo when three letters picked without replacement from zyeyeynoy. 1/42 Two letters picked without replacement from {p: 5, a: 2}. Give prob of sequence aa. 1/21 Calculate prob of sequence bkk when three letters picked without replacement from kkbkkbbkbbbbkkkkkbb. 45/323 What is prob of sequence rrww when four letters picked without replacement from {w: 6, r: 4}? 1/14 Calculate prob of sequence fqqf when four letters picked without replacement from fsqffqq. 3/70 What is prob of sequence pgnn when four letters picked without replacement from {u: 1, z: 4, l: 2, n: 2, g: 1, p: 2}? 1/2970 Calculate prob of sequence gg when two letters picked without replacement from {i: 4, g: 7, h: 1, o: 4, q: 2}. 7/51 What is prob of sequence eif when three letters picked without replacement from {l: 4, f: 5, i: 8, e: 2}? 40/2907 Calculate prob of sequence nt when two letters picked without replacement from lzezlnte. 1/56 Two letters picked without replacement from {v: 5, i: 3, e: 2, h: 2, z: 3}. What is prob of sequence zh? 1/35 Calculate prob of sequence xx when two letters picked without replacement from {y: 1, d: 8, x: 11}. 11/38 What is prob of sequence qfw when three letters picked without replacement from qyqfffffzqfwffqzqfq? 3/323 Four letters picked without replacement from {l: 2, e: 1, n: 1, x: 2, i: 1, b: 1}. What is prob of sequence enlx? 1/420 Four letters picked without replacement from hhrdhhhdhhdr. What is prob of sequence hhhh? 7/99 Three letters picked without replacement from {d: 7, l: 8, u: 2, q: 3}. Give prob of sequence qlq. 2/285 What is prob of sequence ism when three letters picked without replacement from {e: 4, y: 1, i: 1, m: 2, h: 2, s: 4}? 1/273 What is prob of sequence ttl when three letters picked without replacement from hhhhhhhltthqthtt? 1/168 Two letters picked without replacement from {z: 11, n: 2}. Give prob of sequence nz. 11/78 Calculate prob of sequence hhh when three letters picked without replacement from hhiptthh. 1/14 Calculate prob of sequence vvaq when four letters picked without replacement from ddadqxqadqvddqqvxdvv. 1/969 What is prob of sequence drw when three letters picked without replacement from dshwruh? 1/210 What is prob of sequence iwqk when four letters picked without replacement from {k: 1, q: 1, i: 1, w: 2}? 1/60 Four letters picked without replacement from {j: 2, v: 1, i: 1, q: 1}. Give prob of sequence jvji. 1/60 What is prob of sequence gg when two letters picked without replacement from {g: 10, r: 9}? 5/19 Calculate prob of sequence yy when two letters picked without replacement from ygiiiygiigygvvi. 1/35 What is prob of sequence ah when two letters picked without replacement from {h: 1, a: 1, k: 3}? 1/20 Two letters picked without replacement from fzyyozfoz. What is prob of sequence yf? 1/18 Calculate prob of sequence ea when two letters picked without replacement from vjavjvavajvej. 1/52 What is prob of sequence wa when two letters picked without replacement from hghwpaad? 1/28 Three letters picked without replacement from fkffeffexxffkef. Give prob of sequence fke. 8/455 Two letters picked without replacement from iiriiririiirririii. What is prob of sequence ri? 4/17 Two letters picked without replacement from cemmmmevmmcsmamve. What is prob of sequence se? 3/272 What is prob of sequence mm when two letters picked without replacement from mmmmmmm? 1 Two letters picked without replacement from {r: 8, b: 1, z: 4}. Give prob of sequence zr. 8/39 Three letters picked without replacement from dwbwsdwwhb. What is prob of sequence wdw? 1/30 Two letters picked without replacement from bebtcbbbbebbbcefbvb. What is prob of sequence fc? 1/171 Four letters picked without replacement from mmmmmxx. Give prob of sequence xxmm. 1/21 Calculate prob of sequence aaal when four letters picked without replacement from aaaalll. 3/35 What is prob of sequence ixx when three letters picked without replacement from {x: 2, i: 10}? 1/66 Three letters picked without replacement from ovevseeeerv. What is prob of sequence eve? 2/33 What is prob of sequence zh when two letters picked without replacement from {z: 1, c: 6, o: 1, h: 2, f: 3}? 1/78 Four letters picked without replacement from {j: 3, m: 4}. Give prob of sequence jmjm. 3/35 What is prob of sequence hw when two letters picked without replacement from {w: 3, o: 1, h: 5}? 5/24 Calculate prob of sequence fbzc when four letters picked without replacement from fczzccccb. 5/1512 Four letters picked without replacement from sjggsjssgs. Give prob of sequence gjjs. 1/168 What is prob of sequence eiol when four letters picked without replacement from {l: 6, o: 8, e: 1, i: 4, f: 1}? 8/4845 What is prob of sequence hhhh when four letters picked without replacement from {h: 11, x: 3, b: 3, f: 3}? 22/323 Three letters picked without replacement from {z: 5, e: 5, g: 3, a: 1, l: 1}. Give prob of sequence egz. 5/182 Calculate prob of sequence hm when two letters picked without replacement from {m: 1, u: 4, v: 3, g: 1, h: 2}. 1/55 Two letters picked without replacement from trttrqtqtqrqtrt. What is prob of sequence qt? 2/15 Two letters picked without replacement from vvbvbvsvvsv. Give prob of sequence bs. 2/55 Three letters picked without replace
{ "pile_set_name": "DM Mathematics" }
ase 7) to base 13. b37 144152 (base 6) to base 12 8058 Convert 2790 (base 12) to base 4. 1013130 156 (base 8) to base 16 6e Convert 503 (base 15) to base 7. 3201 Convert -24913 (base 11) to base 12. -187b9 -7869 (base 15) to base 7 -134262 Convert 310440 (base 6) to base 5. 1243132 Convert -311 (base 5) to base 13. -63 -55640 (base 10) to base 14 -163c4 285b (base 15) to base 2 10000110111100 Convert -91 (base 15) to base 13. -a6 What is -1543 (base 9) in base 8? -2225 -ab (base 13) to base 10 -141 Convert -1321222 (base 5) to base 13. -c058 -71c (base 13) to base 10 -1208 Convert 15953 (base 12) to base 9. 46140 What is 14775 (base 10) in base 6? 152223 Convert 311024 (base 5) to base 13. 47cc Convert -1142 (base 16) to base 6. -32242 732 (base 11) to base 3 1012200 30063 (base 7) to base 11 549a -12210 (base 4) to base 12 -2b0 What is -6f3a (base 16) in base 5? -1402344 1010111111111 (base 2) to base 9 7646 Convert 7567 (base 15) to base 14. 90ab Convert -16 (base 16) to base 7. -31 What is 12417 (base 10) in base 3? 122000220 Convert 13350 (base 6) to base 12. 1256 Convert -522 (base 13) to base 7. -2355 Convert 7a27 (base 12) to base 5. 413232 1201222002 (base 3) to base 2 1000010110111110 Convert 41414 (base 6) to base 13. 26b3 What is 403223 (base 5) in base 8? 31212 What is -634 (base 7) in base 9? -384 What is -148 (base 12) in base 10? -200 -421 (base 8) to base 6 -1133 What is 13021 (base 4) in base 7? 1222 -3bc (base 14) to base 11 -626 What is 7035 (base 8) in base 11? 2795 274d (base 14) to base 3 100111122 Convert -1127 (base 11) to base 9. -2025 Convert -1036 (base 10) to base 8. -2014 What is 10011011110 (base 2) in base 4? 103132 -3608 (base 9) to base 3 -10200022 Convert -12072 (base 12) to base 7. -130532 34a7 (base 14) to base 11 6980 -234 (base 12) to base 11 -279 What is -548 (base 10) in base 6? -2312 What is 10306 (base 8) in base 5? 114134 Convert -51142 (base 6) to base 12. -3ab2 -2641 (base 11) to base 2 -110101101001 240102 (base 5) to base 9 13032 370 (base 11) to base 13 27b What is -16ba (base 16) in base 13? -2857 609 (base 14) to base 15 540 -1001011100 (base 2) to base 3 -211101 Convert -5071 (base 8) to base 7. -10426 Convert -63445 (base 8) to base 11. -18925 What is -889 (base 12) in base 7? -3444 What is 3123000 (base 4) in base 2? 11011011000000 What is 11112200 (base 3) in base 16? cf0 What is -1314034 (base 5) in base 8? -63040 Convert -1202 (base 5) to base 3. -20120 -10223 (base 5) to base 3 -221111 -248 (base 13) to base 2 -110001110 What is -11135 (base 9) in base 13? -34a6 What is -66134 (base 8) in base 16? -6c5c 1101010110111 (base 2) to base 4 1222313 Convert 10000000 (base 3) to base 10. 2187 What is 63b8 (base 14) in base 2? 100001100111110 Convert 10a1 (base 15) to base 14. 13dc Convert b0 (base 12) to base 2. 10000100 -b6 (base 12) to base 8 -212 What is 4311 (base 6) in base 12? 697 What is 3ac (base 14) in base 9? 1012 What is -1565 (base 13) in base 5? -100000 Convert -15223 (base 7) to base 15. -13c1 What is -277 (base 8) in base 15? -cb 156354 (base 8) to base 14 1687a Convert 10757 (base 11) to base 3. 210022221 What is -6a8 (base 12) in base 13? -5b4 What is -7145 (base 13) in base 3? -210101222 What is 13242 (base 6) in base 4? 133322 What is -11426 (base 9) in base 16? -1dd6 Convert -122211 (base 3) to base 5. -3411 What is 154 (base 15) in base 7? 613 -223 (base 7) to base 3 -11021 -1324014 (base 5) to base 11 -19117 5530 (base 7) to base 15 8c1 -10220121 (base 3) to base 6 -21111 Convert 110344 (base 5) to base 3. 12021120 What is -1494 (base 10) in base 13? -8ac -128 (base 10) to base 8 -200 What is -46 (base 14) in base 13? -4a What is 1ab5 (base 12) in base 13? 1673 What is -2122200 (base 3) in base 11? -14aa What is -2b3 (base 15) in base 9? -756 1656 (base 7) to base 3 221010 303 (base 4) to base 13 3c What is -1ec (base 15) in base 16? -1bf 2031 (base 8) to base 3 1102212 5613 (base 8) to base 15 d20 Convert -13705 (base 8) to base 16. -17c5 What is 4412313 (base 5) in base 6? 1343354 What is 2157 (base 9) in base 5? 22331 36b (base 12) to base 13 308 Convert 3240 (base 5) to base 6. 2021 -12343 (base 5) to base 6 -4301 123c (base 16) to base 2 1001000111100 Convert -56847 (base 10) to base 5. -3304342 -11123 (base 9) to base 11 -5610 1101000110011 (base 2) to base 11 5048 -1110100 (base 3) to base 2 -10000100110 Convert -1100101000100001 (base 2) to base 3. -2121222111 264 (base 14) to base 11 3a7 What is 141 (base 9) in base 15? 7d 226515 (base 7) to base 5 2300411 Convert 8c1 (base 13) to base 7. 4254 What is 102211 (base 3) in base 2? 100111111 What is db2 (base 14) in base 3? 10201011 1079 (base 14) to base 3 10220121 Convert -151a (base 12) to base 7. -10126 Convert 1001111110110000 (base 2) to base 11. 28794 84 (base 14) to base 11 a6 What is 4403430 (base 5) in base 13? 2848c -9e9 (base 16) to base 7 -10253 Convert -10572 (base 9) to base 7. -26333 Convert 42524 (base 6) to base 12. 3444 Convert 29594 (base 11) to base 3. 2010120102 What is 537 (base 14) in base 3? 1102010 Convert -1445 (base 7) to base 5. -4242 -30443 (base 6) to base 4 -333123 What is 930 (base 11) in base 14? 5a2 Convert 1791 (base 15) to base 13. 2413 What is -1035 (base 7) in base 12? -269 What is 303 (base 6) in base 12? 93 Convert 34547 (base 8) to base 13. 68c5 Convert -1103 (base 14) to base 13. -1455 -105640 (base 7) to base 9 -27757 What is d0 (base 14) in base 10? 182 314100 (base 5) to base 7 42454 Convert -100111100100101 (base 2) to base 14. -7553 Convert -2910 (base 11) to base 15. -11ac 4845 (base 12) to base 11 610a Convert 668 (base 9) to base 11. 459 What is -122001020 (base 3) in base 11? -9377 Convert 3755 (base 8) to base 6. 13221 Convert 142513 (base 6) to base 5. 413311 What is 9912 (base 11) in base 8? 31431 What is 1010011111100101 (base 2) in base 15? cb06 Convert 221132 (base 6) to base 9. 27232 Convert -1937 (base 13) to base 16. -eb4 Convert -51d (base 16) to base 6. -10021 What is -1232101 (base 4) in base 16? -1b91 100011 (base 3) to base 4 3313 445 (base 9) to base 3 111112 -1133 (base 7) to base 6 -1532 What is -b4b0 (base 12) in base 5? -1112331 What is 10055 (base 7) in base 12? 14b5 532f (base 16) to base 9 32181 What is 195 (base 13) in base 11? 245 Convert -1110110001110111 (base 2) to base 15. -12e0a -64615 (base 7) to base 14 -5c0c 1611 (base 9) to base 5 14400 Convert 21223 (base 4) to base 14. 323 Convert 100201022 (base 3) to base 7. 26435 Convert -1266 (base 11) to base 5. -23040 Convert -20120 (base 5) to base 15. -5aa 58708 (base 10) to base 7 333106 Convert -a066 (base 13) to base 6. -250034 126 (base 16) to base 4 10212 -1000011101110 (base 2) to base 8 -10356 -1101011001010 (base 2) to base 14 -26dc -81a4 (base 11) to base 13 -4c52 What is -2134300 (base 5) in base 14? -d5c5 1719 (base 12) to base 4 223011 25434 (base 9) to base 10 17122 Convert -466 (base 8) to base 10. -310 -66052 (base 7) to base 14 -6029 1020223 (base 4) to base 15 15a1 What is -15376 (base 8) in base 2? -1101011111110 What is 10121100 (base 3) in base 11? 1a7a Convert 1211022212 (base 3) to base 2. 1000110001111000 What is 224121 (base 5) in base 13? 3872 Convert 241612 (base 7) to base 6. 535024 2473 (base 9) to base 5 24343 -70 (base 12) to base 13 -66 Convert -7084 (base 12) to base 11. -9188 -aa6 (base 14) to base 3 -2220000 Convert a4c1 (base 14) to base 10. 28393 Convert 12344 (base 7) to base 6. 23042 Convert 110202 (base 4) to base 11. a95 Convert -2120 (base 5) to base 6. -1153 What is 1002203 (base 4) in base 2? 1000010100011 22d (base 14) to base 9 531 What is -47a (base 11) in base 8? -1073 Convert -297 (base 11) to base 13. -20a -3232 (base 7) to base 5 -14100 Convert 102210211 (base 3) to base 14. 31cc What is -175 (base 12) in base 6? -1025 Convert 13001 (base 5) to base 13. 5c0 6988 (base 10) to base 4 1231030 What is -90 (base 12) in base 3? -11000 What is 56015 (base 8) in base 12? 11779 Convert -22321201 (base 4) to base 11. -305a3 What is -20213 (base 6) in base 10? -2673 Convert -453244 (base 6) to base 9. -57521 -8d1 (base 14) to base 16 -6d7 Convert 231430 (base 6) to base 4. 10311222 Convert -5b2 (base 16) to base 15. -673 32322210 (base 4) to base 1
{ "pile_set_name": "DM Mathematics" }
9478800000000 Convert 0.657907 weeks to hours. 110.528376 What is 3/40 of a millennium in months? 900 What is 1/20 of a kilometer in meters? 50 What is five quarters of a kilometer in meters? 1250 What is 695185.7 micrograms in nanograms? 695185700 What is fifty-five thirds of a decade in months? 2200 What is 3/10 of a milligram in micrograms? 300 What is thirty-two fifths of a litre in millilitres? 6400 What is 1/30 of a millennium in months? 400 What is 3/5 of a century in years? 60 How many millilitres are there in 21/4 of a litre? 5250 What is 0.8257407 decades in centuries? 0.08257407 Convert 33.02031 weeks to minutes. 332844.7248 How many centuries are there in 2734.4874 months? 2.2787395 How many hours are there in 2.6939268 minutes? 0.04489878 How many nanograms are there in 75/2 of a microgram? 37500 How many kilograms are there in 71/4 of a tonne? 17750 What is 72.7941 minutes in seconds? 4367.646 How many nanometers are there in twenty-one fifths of a micrometer? 4200 How many weeks are there in 3592493.1us? 0.00000593996875 How many kilograms are there in 659.671 grams? 0.659671 How many micrograms are there in 0.8348502ng? 0.0008348502 How many meters are there in 63579.79 centimeters? 635.7979 Convert 37438.53kg to milligrams. 37438530000 How many millimeters are there in 0.3635544 micrometers? 0.0003635544 How many centimeters are there in three fifths of a meter? 60 How many minutes are there in four sevenths of a week? 5760 How many centimeters are there in 57/5 of a meter? 1140 What is thirty-two fifths of a litre in millilitres? 6400 How many millilitres are there in 1.57517l? 1575.17 What is 0.8923505ml in litres? 0.0008923505 How many months are there in 6/5 of a century? 1440 How many milligrams are there in 58027.86t? 58027860000000 How many micrometers are there in 51/2 of a millimeter? 25500 What is 504658.4m in millimeters? 504658400 How many seconds are there in fourty-nine sixths of a minute? 490 How many nanograms are there in 75/4 of a microgram? 18750 What is 661.1299 weeks in microseconds? 399851363520000 How many meters are there in 0.2313302km? 231.3302 What is 3.616308 nanometers in centimeters? 0.0000003616308 How many milligrams are there in 3/40 of a gram? 75 How many years are there in 21/5 of a century? 420 How many nanometers are there in 229138.5um? 229138500 What is 0.7941363 days in hours? 19.0592712 How many milliseconds are there in 1/4 of a minute? 15000 What is 17.9083 milligrams in grams? 0.0179083 How many months are there in twenty-one quarters of a decade? 630 How many years are there in thirty-one halves of a decade? 155 How many microseconds are there in 61/4 of a millisecond? 15250 Convert 0.2689606 minutes to nanoseconds. 16137636000 What is 5.659757 seconds in nanoseconds? 5659757000 How many decades are there in 5/4 of a millennium? 125 What is three fifths of a millennium in months? 7200 How many seconds are there in 6/25 of a day? 20736 Convert 18.87143 kilometers to millimeters. 18871430 Convert 131.18268 hours to days. 5.465945 What is 37.43995 grams in milligrams? 37439.95 What is 0.0343443 micrometers in millimeters? 0.0000343443 What is 2.1994947 nanoseconds in minutes? 0.000000000036658245 Convert 7.954948 kilograms to grams. 7954.948 Convert 22.95936 kilograms to tonnes. 0.02295936 What is 32836.75l in millilitres? 32836750 What is three eighths of a kilometer in centimeters? 37500 How many minutes are there in seven halves of a day? 5040 How many centuries are there in 976757.1 years? 9767.571 What is 6087.194 litres in millilitres? 6087194 What is 9693.648 years in millennia? 9.693648 How many millilitres are there in 6/25 of a litre? 240 What is 25/4 of a week in minutes? 63000 What is 2.621651 decades in years? 26.21651 What is 67/4 of a milligram in micrograms? 16750 How many kilometers are there in 89.0389 centimeters? 0.000890389 Convert 5.805275 years to millennia. 0.005805275 How many years are there in 7/4 of a millennium? 1750 Convert 757591.3 litres to millilitres. 757591300 Convert 0.7193523 minutes to hours. 0.011989205 What is 29/2 of a centimeter in millimeters? 145 What is 33/5 of a hour in minutes? 396 How many millimeters are there in three tenths of a centimeter? 3 How many meters are there in 71.76085km? 71760.85 Convert 481.0078cm to kilometers. 0.004810078 What is 90.78195mg in nanograms? 90781950 How many years are there in 3/10 of a decade? 3 What is 27/2 of a microsecond in nanoseconds? 13500 Convert 3.140771 kilograms to nanograms. 3140771000000 What is 0.2915243ml in litres? 0.0002915243 How many tonnes are there in 59746.99g? 0.05974699 Convert 74.49362 milligrams to micrograms. 74493.62 Convert 361.77ml to litres. 0.36177 How many centuries are there in 3.786308 years? 0.03786308 How many centimeters are there in 6/25 of a kilometer? 24000 Convert 79.96186 litres to millilitres. 79961.86 How many millimeters are there in 6/25 of a meter? 240 What is 46.017 milligrams in micrograms? 46017 What is 28/3 of a decade in months? 1120 What is 0.4975926 decades in years? 4.975926 How many minutes are there in 1/5 of a week? 2016 What is 1155.459 millilitres in litres? 1.155459 Convert 76.38687 millilitres to litres. 0.07638687 What is 7/4 of a litre in millilitres? 1750 How many seconds are there in five sixths of a day? 72000 What is 43/2 of a micrometer in nanometers? 21500 How many micrograms are there in 12399.8 tonnes? 12399800000000000 How many decades are there in 8862.15 years? 886.215 What is 5.49144 millennia in months? 65897.28 What is 10971.02kg in milligrams? 10971020000 How many hours are there in one sixth of a week? 28 What is 49.18642 millennia in centuries? 491.8642 What is 928.6274 millennia in years? 928627.4 How many kilograms are there in 529.9641 grams? 0.5299641 What is fifty-one quarters of a microsecond in nanoseconds? 12750 How many tonnes are there in 251.4358 kilograms? 0.2514358 How many nanograms are there in three tenths of a microgram? 300 What is 33/5 of a microgram in nanograms? 6600 How many seconds are there in 3/5 of a day? 51840 How many milliseconds are there in three fifths of a minute? 36000 How many millimeters are there in 49924.66 centimeters? 499246.6 What is 2.2363677 days in weeks? 0.3194811 Convert 2353.241t to micrograms. 2353241000000000 What is 18/5 of a centimeter in micrometers? 36000 Convert 340.596mg to grams. 0.340596 How many nanometers are there in 7/2 of a micrometer? 3500 How many litres are there in 89451.7ml? 89.4517 What is 3/8 of a litre in millilitres? 375 Convert 7.871194 tonnes to kilograms. 7871.194 How many milliseconds are there in 44/5 of a second? 8800 What is 347.4968cm in kilometers? 0.003474968 How many decades are there in fifty-seven halves of a millennium? 2850 What is 64/5 of a microgram in nanograms? 12800 How many meters are there in 1/5 of a kilometer? 200 What is 3/5 of a microsecond in nanoseconds? 600 What is five quarters of a litre in millilitres? 1250 What is 2/125 of a meter in millimeters? 16 How many decades are there in nine tenths of a millennium? 90 What is twenty-one fifths of a tonne in kilograms? 4200 What is five quarters of a meter in centimeters? 125 What is 3/40 of a micrometer in nanometers? 75 What is fourty-one halves of a millennium in years? 20500 What is 1/10 of a litre in millilitres? 100 What is 1997.902 nanometers in micrometers? 1.997902 What is 0.1150806 days in seconds? 9942.96384 How many litres are there in 9089.474 millilitres? 9.089474 What is 615.6534l in millilitres? 615653.4 What is one fifth of a centimeter in micrometers? 2000 How many micrometers are there in 61/4 of a millimeter? 15250 Convert 0.394529 minutes to milliseconds. 23671.74 What is 5/8 of a millennium in months? 7500 How many centimeters are there in five quarters of a meter? 125 How many seconds are there in 24753.93 weeks? 14971176864 How many micrograms are there in 33/5 of a milligram? 6600 How many micrograms are there in 8/25 of a milligram? 320 How many decades are there in 113.995 years? 11.3995 Convert 0.4053 nanograms to tonnes. 0.0000000000000004053 What is 0.0397136l in millilitres? 39.7136 How many millimeters are there in thirty-seven halves of a centim
{ "pile_set_name": "DM Mathematics" }
(-4 + 2 + 1 - 2*c)*(-41 - 31 + 44). 56*c + 28 Expand (3 - 3 - 3*f)*(-f + 3*f**3 + f) + f**4 - 12*f**4 + 0*f**4 + 2*f**4 - f**4 - 2*f**4. -21*f**4 Expand (-1 - 2 + 1)*(267*d - 1310 + 1310). -534*d Expand (10*r + 11*r + 3*r - 3*r)*(3 - 3 + 8*r). 168*r**2 Expand (-2*f + 0*f + 3*f)*(-4 - 4 - 8)*(4*f - 5*f + 0*f - f**2). 16*f**3 + 16*f**2 Expand (-756 + 756 + 38*y)*(-3*y + 0*y + 2*y). -38*y**2 Expand (2 + 1 - 5)*(-v**2 + 9*v**2 - 8*v**2 + 133*v**3). -266*v**3 Expand (2*j**3 - j**2 - 8 + 8)*(-3 + 6 + 2). 10*j**3 - 5*j**2 Expand -o**2 - 1 - 1 + 0*o**2 + (12*o - 12*o**2 - 12*o)*(9 - 36 + 12). 179*o**2 - 2 Expand -1 - 2*v**3 + 1 + (-v + 2*v - 3*v)*(v**2 + 4*v - 4*v) + (-2*v**3 + v**3 + 0*v**3)*(-1 + 0 - 4 - 1 - 3 + 2 + (-2 - 2 + 5)*(-1 + 5 - 2) - 2 + 4 - 4). 3*v**3 Expand (-4 + 3 - 1)*(-2 - 1 + 21*w - 22*w). 2*w + 6 Expand (-3*q + 0*q + 4*q)*(48 + 26*q - 48 - 2*q + 3*q - 2*q - 2*q - 4*q + 4*q - 4*q + 2*q + 4*q + (-1 + 1 - 2*q)*(2 - 1 + 1) + q + 1 - 1). 22*q**2 Expand (0 + 2 - 3)*(1 + 3 - 3)*(-9*u - 61*u - 11*u). 81*u Expand (3 - 1 + 34*u + 0)*(-1 + 0 + 3)*(5 + 5 + 0) + 0 - 2*u + 0. 678*u + 40 Expand (4*x**2 - x + x)*(-51 + 17*x + 51) + 4*x**3 - 2*x**3 - x**3. 69*x**3 Expand ((1 + 0 + 1)*(-r + 3 - 3) + r - 4*r + r)*(132 - 94 - 110). 288*r Expand 8 - 5*q**4 - 13 + 10*q**4 + (-q**2 + 2*q**2 + q**2)*(-q**2 + q**2 + q**2) + 2*q**4 + 0*q**4 + q**4. 10*q**4 - 5 Expand (21 + 14 + 4 + 22)*((1 - 5 + 2)*(3*q**2 - 1 + 1) - 3*q**2 + 6*q**2 - 2*q**2 - 1 + q**2 + 1). -244*q**2 Expand (2 - 5 - 2)*(2 - 4 + 1)*(4*z - 4*z - 2*z)*(1 - 20 - 21). 400*z Expand ((-1 + 1 - 1)*(-3*z**2 + z**2 + 0*z**2) - z**2 + 4*z**2 - 11*z**2)*(-2*z**2 - 3*z**2 + 3*z**2). 12*z**4 Expand 16 + 6*n**2 + 2*n**2 - 19 + 2*n + (10*n + 32 - 32)*(-2*n - 1 + 1). -12*n**2 + 2*n - 3 Expand (-q + 2*q + 6*q)*(-12*q**2 - 61*q + 61*q) + 0*q**3 + 0*q**3 - 2*q**3 - 6*q**3 + 4*q**3 + 0*q**3 + (q + 2*q - 4*q)*(0*q**2 + q**2 + q**2). -90*q**3 Expand (-4 + 5 + 14*i - 2)*(-i**2 - 6*i**2 + i**2 + (i + 4*i - 3*i)*(2 - i - 2)). -112*i**3 + 8*i**2 Expand ((-3*y**3 + 0*y**3 + 2*y**3)*(-4 + 3 + 0) + 2*y**3 + 2*y - 2*y)*(-7 - 5 + 5). -21*y**3 Expand (72*h + 8 - 145*h + 6*h**2 + 71*h)*(6*h - 4*h + h). 18*h**3 - 6*h**2 + 24*h Expand (-3*y + 0*y + y)*(4 - 2 - 1) + 6*y + 32*y + 3*y. 39*y Expand (0*l + 2*l - 10*l + (1 + 2 - 1)*(-3*l + 5*l - l) + l + 5*l - 4*l - 2*l + l - l)*(80*l - 11*l**2 - 80*l). 66*l**3 Expand (2 - 1 + 1)*(985*l**2 - 506*l**2 - 513*l**2). -68*l**2 Expand (-4 + 1 + 2)*(-9*l**3 + 2*l**3 + 2*l**3) + 93*l**2 - 93*l**2 + 9*l**3. 14*l**3 Expand ((2 + 2*c - 2)*(-2 - 1 + 4) - 1 + 1 - c + 0*c + 3*c - 2*c + c - 4 + 4 + (2 + 3 - 3)*(2 - 2*c - 2) + 3*c - 7*c + 3*c - c - 2*c + c)*(-7 + 6 - 4). 20*c Expand (-236*x**2 + 234*x**2 - 35*x + 13*x)*(4*x - 1 + x - 6*x). 2*x**3 + 24*x**2 + 22*x Expand (0*r + r**4 + 0*r)*(46*r + 62*r - 65*r) + (2*r**4 - 2*r**4 - r**4)*(-1 + 1 + r). 42*r**5 Expand (-2*a + 0*a + 0*a)*(-1 + 0 + 2)*(14*a**2 + 43*a**2 + 76*a**2). -266*a**3 Expand -132*r**5 + 617*r**5 + 911*r**5 + (-r**2 + r**5 + r**2)*(-1 + 1 - 2). 1394*r**5 Expand (0 + 1 - 2)*(-10*s**5 - 18*s**5 - s**5) + 8*s**5 - 4*s**5 + 0*s**5. 33*s**5 Expand (1 - 1 - 2)*(12 + 5 + 9)*(x - x + 4*x). -208*x Expand (j + 0 + 0)*(-2*j - 2*j + 2*j) - j**2 - 1 + 1 - 375*j**2 + 860*j**2 + 495*j**2. 977*j**2 Expand -m**2 - m + m + (-31*m - 4*m + 8*m)*(4 - 4 + 3*m) + (-3*m**2 + 2*m**2 + 3*m**2)*(1 + 3 - 2) - 7*m**2 + 3*m**2 + 2*m**2. -80*m**2 Expand 0*w**4 + 0*w**4 - w**4 + (2*w**2 + 3*w - 3*w)*((-10 - 3*w + 10)*(-2 - w + 2) - 9*w + 9*w + 6*w**2). 17*w**4 Expand d - 2*d - d + (-2*d + 0*d + d)*(1 - 4 + 2) - 6*d + d + 4*d + (2*d + 3*d - 2*d)*(4 - 2 + 0)*(26 - 6 + 17). 220*d Expand 1 - 2*c**2 - 1 + c - 2*c**2 - c + (1 - 1 + c)*(0*c + 0*c + c) - 1 - 2*c**2 + 1 - 5 - 344*c - 9*c**2 + 344*c. -14*c**2 - 5 Expand (x**3 + 3 - 3)*(x - 3*x - 543165 + 543161). -2*x**4 - 4*x**3 Expand (2 - 3 - 1)*(-6*g - 8*g + 18*g)*(-24*g + 10*g + 31*g). -136*g**2 Expand 3*m + 6*m**4 - 3*m + (-2*m**2 + 0*m**2 - m**2)*(6*m**2 - 4*m**2 + 5*m**2). -15*m**4 Expand (49*d**2 + 610*d**3 - 23*d**2 - 26*d**2)*(-1 - 2 + 2). -610*d**3 Expand (-3 + 2 - 1)*(17*s - 25*s + 20*s)*(2 - 2 - 3*s)*(4*s + 0*s - s). 216*s**3 Expand (122 + 131 + 48)*(2*j**2 - 4*j**2 + j**2)*(6*j - j - 3*j). -602*j**3 Expand 2*c - c + c + (-4*c + 4*c - 2*c)*(-1 - 2 + 4) + 4*c - 1648 + 1665 - c - 2*c + 0 + 0. c + 17 Expand (-2*z**2 + 2*z**2 - z**4)*(2 + 0 - 3)*(-19*z - 27 + 27). -19*z**5 Expand (-2*o**3 - 2*o**3 - 3*o**3)*(13 - o + 6*o - 6*o) + o + 2*o**4 - o - 2. 9*o**4 - 91*o**3 - 2 Expand (c - 2*c - c)*(0*c**2 - 2*c**2 - c**2)*(-2 + 2 - 2)*(8 - c + 5 - 1). 12*c**4 - 144*c**3 Expand (1 + 3*n - 1 + (2 - n - 2)*(-2 - 2 + 3))*(8*n + 14*n + 5*n). 108*n**2 Expand 0 + s + 0 + (-1 + 1 - 2*s)*(103 - 95 - 62). 109*s Expand 20*b**2 - 20*b**2 - 2*b**5 + (-4*b + 4*b + 2*b**2)*(3*b - b**3 - 3*b) + (3*b**2 + 2*b - 4*b - 2*b**2)*(-b**3 + 0*b + 0*b). -5*b**5 + 2*b**4 Expand 5*h + 2*h - 5*h + (3*h + h - 2*h)*(-4 + 1 + 4) - 2*h + h + 3*h + h - h - 3*h + h - 18*h + 5*h + h + 0 + 0 + (-2 + 3 - 2)*(3 + 2*h - 3) - 1 + 1 - 5*h. -15*h Expand (-4*z + 3*z + 7*z)*(4*z - 5*z + 2*z)*(77 - 12*z**3 - 77). -72*z**5 Expand (0*l + 3*l - 5*l)*(132*l - 9*l**3 - 132*l) - 2*l + 2*l + 11*l**4. 29*l**4 Expand (-1 - 1 + 0)*(-5*u**4 + 0*u**4 + 3*u**4) + 2*u**3 - 2*u**3 - u**4 + (4*u - 2*u**2 - 4*u)*(-5*u + 0*u + 2*u)*(-28 - 52*u + 28). -309*u**4 Expand 69*v**4 - 804*v**3 + 804*v**3 + (v - 2*v + 4*v)*(-v**3 + v**3 - v**3). 66*v**4 Expand (-3 - 2 + 4 + 6*w**2)*(3*w**2 - 2*w**2 + w**2). 12*w**4 - 2*w**2 Expand -125 + 56 - 66*d**2 + 67 + (0*d - d - d)*(2*d - 2*d - 2*d). -62*d**2 - 2 Expand (6*q - 4*q + 0*q)*(-42 - 1 + 10)*(2*q**4 + 2*q**4 - 5*q**4). 66*q**5 Expand -2*l**5 + 0 + 0 - 6*l**5 + 3*l**5 + 0*l**5 + (-4*l**2 - 18*l**2 + 7*l**2)*(-5*l**3 + 3*l**3 + l**3). 10*l**5 Expand k**4 - 2*k**4 + 0*k**4 - 5*k**4 + 3*k**4 + k**4 + (3*k - 5*k + 4*k)*(2*k**3 + 5 - 5) + 3*k**4 + 0*k**4 + 8*k**4 + 0*k**2 + 0*k**2 + 15*k**4. 28*k**4 Expand (-2*c - 3 + 3)*(4*c + 0*c - 2*c) - 49*c**2 - 135*c**2 + 316*c**2. 128*c**2 Expand (2*u + 0*u - 3*u)*(-220*u**2 + 188*u**2 + 156*u**2) + 5*u**2 - 3*u**2 + u**3 - 4*u**2. -123*u**3 - 2*u**2 Expand ((-6 + 2 + 5)*(-12*r - 2*r - r) - 7*r + r - r)*(-2*r - r + 0*r). 66*r**2 Expand (5*f**5 - 1 + 1)*(-1 + 1 + 2) - 2*f - 4*f**5 + 2*f + 2 - 2*f**5 - 2 + (-3*f + 0*f + f)*(2*f**4 + f**4 - f**4) - f**5 + 4*f**5 - 2*f**5. f**5 Expand (0*v**2 - v**2 + 3*v**2)*(19 - 9 + 73). 166*v**2 Expand (2*h + 0*h - 4*h)*(30 + 3 + 9) + (-5 + 1 + 2)*(-h + 0*h + 2*h) - 3 - h + 3 - h + 5*h + 3*h + 2*h - 2 + 3 + 1. -78*h + 2 Expand 6*k**2 - 2*k**2 - k**2 + (4*k**2 + k**2 - 3*k**2)*(-1 + 3 - 7). -7*k**2 Expand (4 - 3*m**2 - 4)*(-m**2 + 1 - 3*m + 1 - 20). 3*m**4 + 9*m**3 + 54*m**2 Expand (-14*y - 1347 + 1347 + 2*y**3 + (-2*y**2 - 2*y**2 + 2*y**2)*(3*y - 6*y - 7*y))*(0 + 0 + y**2). 22*y**5 - 14*y**3 Expand (-161 - 122 + 127)*(2*z + 0*z - 5*z - 3*z + z + 0*z + (-2*z - 2*z + 2*z)*(4 - 1 - 1) - 2*z - 3*z + 6*z + 1 + 2*z - 1). 936*z Expand (39 - 23*v**2 - 37 + 5*v - 7*v)*(5 - 1 - 3). -23*v**2 - 2*v + 2 Expand (-t**2 - t**2 + t**2)*(-280*t + 280*t - 33*t**3) + t**5 - 4*t**5 + t**5 + (-4*t**4 + 2*t**4 + 0*t**4)*(t + 4*t - 3*t). 27*t**5 Expand (-4*f - 79 + 0*f + 5*f)*(1 - 1 - 5*f**4). -5*f**5 + 395*f**4 Expand (-2 + 1 - 1)*(-14*l - 10*l + 37*l). -26*l Expand (0 - 1 + 4)*(2 - 2 + 2*j) + (-j + 0 + 0)*(3 - 3 - 2). 8*j Expand (61 - 12*s - 61)*((0 + 1 - 2)*(-2*s**3 + 2*s**3 + s**3) + 2*s**3 - 58 + 58). -12*s**4 Expand s**2 - s**2 + 2*s**5 + (0*s + 0*s - 2*s**2)*(34 - 29*s**3 - 34). 60*s**5 Expand -p + 0*p + 2*p + (-1 + 2 - 2)*(272*p + 53*p - 49*p). -275*p Expand (-j - j + j)*(-3*j + 2*j + 2*j)*(0 - 97 + 0). 97*j**2 Expand 3*k + k + 5 - 2*k - 3 - k + 3 + k - 2*k + 0*k + (0*k + 5*k - 3*k)*(-3 + 1 + 3) + k - 2*k + 2*k. 3*k + 5 Expand (k**3 + 0 + 0)*(k - 3*k + 0*k) + 14*k**3 - 7*k**3 - 13*k**4 - 4*k**4. -19*k**4 + 7*k**3 Expand (6 - 2 + 3)*(0 - 53*i + 6 + 45*i). -56*i + 42 Expand (2*m - 2*m**2 - 2*m)*(73*m**2 + 14*m**2 + 84*m**2). -342*m**4 Expand -2*g**3 - g**3 + g**3 + 9*g**3 + 4*g**3 - 15*g**3 + (5*g - 2*g - 4*g)*(g**2 + g - g) - 2*g**3 + 0*g**3 + 3*g**3. -4*g**3 Expand (-3*v + 0*v - 3*v)*(-v + 0*v + 0*v)*(v**2 - 3*v**2 - v**2) + (0 + 0 - 2*v)*(0 + 0 + 2*v**3). -22*v**4 Expand -z**3 + 4
{ "pile_set_name": "DM Mathematics" }
-0.4, -177, -1/8, -0.5 in increasing order. -177, -0.5, -0.4, -1/8 Put 14, 1, -1, 72 in decreasing order. 72, 14, 1, -1 Sort -16/3, -2/3, -1/26 in descending order. -1/26, -2/3, -16/3 Put 1/2, 3/4, 79 in descending order. 79, 3/4, 1/2 Sort 0.3, -0.5, 1/4, -0.4 in descending order. 0.3, 1/4, -0.4, -0.5 Put -4/5, -0.3, -2, -0.5, 3/25 in descending order. 3/25, -0.3, -0.5, -4/5, -2 Put 5, -170, 2 in increasing order. -170, 2, 5 Sort -2, 2, 4, 3, 11 in increasing order. -2, 2, 3, 4, 11 Sort -4, -0.4, -2, -0.5 in increasing order. -4, -2, -0.5, -0.4 Sort 0.7, -0.3, -2, -2/5 in decreasing order. 0.7, -0.3, -2/5, -2 Sort 9, -1, -4, 2. -4, -1, 2, 9 Sort -5, 4, 5, -0.0717 in descending order. 5, 4, -0.0717, -5 Sort -18, 1, 0 in descending order. 1, 0, -18 Sort 3, 0, 25 in decreasing order. 25, 3, 0 Put -4, -368, 1, -0.1, -2/9 in increasing order. -368, -4, -2/9, -0.1, 1 Sort 0, -1, 61, -2 in decreasing order. 61, 0, -1, -2 Sort -3/4, -4, -6, 2/7. -6, -4, -3/4, 2/7 Put -8, -5/3, -0.3, -5, -2/15 in increasing order. -8, -5, -5/3, -0.3, -2/15 Put 5, 4, 116 in ascending order. 4, 5, 116 Sort 0, -1, 32 in decreasing order. 32, 0, -1 Sort -5, -0.3, -1/9, 7.57, 0.1 in ascending order. -5, -0.3, -1/9, 0.1, 7.57 Sort 2, 3, 27, 4. 2, 3, 4, 27 Sort -0.5, 76, 0.5 in decreasing order. 76, 0.5, -0.5 Sort 10, 3, 0.3, -5, -1/5 in increasing order. -5, -1/5, 0.3, 3, 10 Sort 4, 155, -24 in decreasing order. 155, 4, -24 Put 1, 2, 0.2, 0.86, 4 in decreasing order. 4, 2, 1, 0.86, 0.2 Sort -1/3, 4, -485. -485, -1/3, 4 Sort -3, 45, -46 in descending order. 45, -3, -46 Sort 15, 1.2, -2/3 in decreasing order. 15, 1.2, -2/3 Sort -5, -9, 4, -6, -12 in descending order. 4, -5, -6, -9, -12 Sort 12, -7, -5, 10/9, 2 in descending order. 12, 2, 10/9, -5, -7 Sort -14, -0.2, -5 in increasing order. -14, -5, -0.2 Put -5, -1/14, -3/7, 0, -3 in ascending order. -5, -3, -3/7, -1/14, 0 Put -2/5, -17.3, -1/2 in decreasing order. -2/5, -1/2, -17.3 Sort -4, 3, 9 in increasing order. -4, 3, 9 Sort 8, 2/9, -47 in descending order. 8, 2/9, -47 Put 1, 15, 4, 0, -4 in increasing order. -4, 0, 1, 4, 15 Sort 0.4, -2/67, 1 in descending order. 1, 0.4, -2/67 Put -4, -0.51, 0.4 in increasing order. -4, -0.51, 0.4 Sort -24, -6, -5. -24, -6, -5 Put 313, -4, 2 in descending order. 313, 2, -4 Put 636, -1/8, 0.2 in ascending order. -1/8, 0.2, 636 Sort 0.3, -1/3, -57 in decreasing order. 0.3, -1/3, -57 Sort -7, -2, 4 in increasing order. -7, -2, 4 Sort -2/9, 0.2, -3/7, -3, 2.6. -3, -3/7, -2/9, 0.2, 2.6 Put 8/9, -3, 2/9, 4/9, -2 in decreasing order. 8/9, 4/9, 2/9, -2, -3 Sort -2/7, -0.05, 0.2, 1/11, 5/6. -2/7, -0.05, 1/11, 0.2, 5/6 Sort 5, 9, 2, 1 in decreasing order. 9, 5, 2, 1 Put 0, -3, -1, 9, -4 in ascending order. -4, -3, -1, 0, 9 Sort 3, -612, 4 in descending order. 4, 3, -612 Put 1/3, 0.005, -1/4, -2 in descending order. 1/3, 0.005, -1/4, -2 Put -9, -8, 3, -2, 0.1 in decreasing order. 3, 0.1, -2, -8, -9 Sort -3, 4, 9 in descending order. 9, 4, -3 Sort -2, 1, -18, 4 in ascending order. -18, -2, 1, 4 Sort 4, -3, 2, -23 in descending order. 4, 2, -3, -23 Put 209, 5, 1 in ascending order. 1, 5, 209 Put -3, 4, 23, -9 in increasing order. -9, -3, 4, 23 Sort 5, -63, -4, 0.2. -63, -4, 0.2, 5 Sort 0.09, 5, 0, 7/4, -2 in decreasing order. 5, 7/4, 0.09, 0, -2 Put 0, -239, -4 in increasing order. -239, -4, 0 Put 0, 164, -5, 3 in decreasing order. 164, 3, 0, -5 Put -534, 5, 3 in decreasing order. 5, 3, -534 Sort -0.5, 3.34, 2/15 in increasing order. -0.5, 2/15, 3.34 Sort -5, 1, 292 in increasing order. -5, 1, 292 Put -295, -3, -5 in descending order. -3, -5, -295 Sort 2/13, -2/7, 2/9, -2, 15 in ascending order. -2, -2/7, 2/13, 2/9, 15 Sort -5, 0, -1757 in descending order. 0, -5, -1757 Sort 3/5, 5, 90.1 in descending order. 90.1, 5, 3/5 Sort -14, 357, 4. -14, 4, 357 Sort -1.7, -2, 0.04, 4/3, 0.2 in decreasing order. 4/3, 0.2, 0.04, -1.7, -2 Put -6, 5, 157 in descending order. 157, 5, -6 Sort 4, 5, -4, 20. -4, 4, 5, 20 Sort -1/2, -1/16, -0.075 in ascending order. -1/2, -0.075, -1/16 Sort 1.7, -7, -1/7. -7, -1/7, 1.7 Sort 0, -54, 231. -54, 0, 231 Put 10, 4/3, -6 in descending order. 10, 4/3, -6 Sort 1, 0, 3, -1 in descending order. 3, 1, 0, -1 Put 0.4, 1/2, -1, -40 in ascending order. -40, -1, 0.4, 1/2 Sort 0.2, 0, -1, -0.3 in descending order. 0.2, 0, -0.3, -1 Put 0.18, 4/7, 3/7, -21 in decreasing order. 4/7, 3/7, 0.18, -21 Sort 4, 33, -1, 11 in descending order. 33, 11, 4, -1 Put 5, 8, -13 in descending order. 8, 5, -13 Put 1/9, -5, 2, 2/27 in ascending order. -5, 2/27, 1/9, 2 Sort 0, -9, 4 in decreasing order. 4, 0, -9 Put 4, 171, -2, 1 in ascending order. -2, 1, 4, 171 Sort 1.01, -1, 0.4 in ascending order. -1, 0.4, 1.01 Put -27, -3, -5 in decreasing order. -3, -5, -27 Sort -1/49, 2/9, -1/4, -2/7 in descending order. 2/9, -1/49, -1/4, -2/7 Sort -6/5, 0.5, 104, 0.2. -6/5, 0.2, 0.5, 104 Put 14, -70, 2, 1, -5 in decreasing order. 14, 2, 1, -5, -70 Put -4, 1, 5, 83, -3 in ascending order. -4, -3, 1, 5, 83 Put -7, -4, -5, 1 in decreasing order. 1, -4, -5, -7 Sort -146, -0.3, -0.5 in increasing order. -146, -0.5, -0.3 Sort 2, -10, 1 in decreasing order. 2, 1, -10 Put 0.4, -2/19, -1/143, 0 in ascending order. -2/19, -1/143, 0, 0.4 Sort -2/9, -377, -2 in descending order. -2/9, -2, -377 Sort -1, 5, 2, -10 in descending order. 5, 2, -1, -10 Put -3, -3/2, 41 in descending order. 41, -3/2, -3 Sort 2, -77, -4 in increasing order. -77, -4, 2 Put 2, -5, 20, 6 in decreasing order. 20, 6, 2, -5 Sort 0.03, 2/7, -14 in increasing order. -14, 0.03, 2/7 Put -5, 1, -2, -87, 16 in ascending order. -87, -5, -2, 1, 16 Sort -180, 1, 3, -5 in increasing order. -180, -5, 1, 3 Sort 49, -2, 3, -1 in descending order. 49, 3, -1, -2 Put -1, -104, -3 in descending order. -1, -3, -104 Sort 3, 0.01, -1/4 in ascending order. -1/4, 0.01, 3 Put 890, -1, -4, 2 in descending order. 890, 2, -1, -4 Sort -2, -532, 5 in decreasing order. 5, -2, -532 Sort -1, -3, -5, 33, 3. -5, -3, -1, 3, 33 Put -1.1, -310, 1 in decreasing order. 1, -1.1, -310 Put 0, 1, -3, 3, -54 in ascending order. -54, -3, 0, 1, 3 Put 3, -4, 125, 0 in ascending order. -4, 0, 3, 125 Sort -3, -49, -1, -46 in descending order. -1, -3, -46, -49 Put 0, -1/11, 0.1, -2/11 in ascending order. -2/11, -1/11, 0, 0.1 Sort 41, 22, 0.5. 0.5, 22, 41 Sort -5/9, 2, 147 in decreasing order. 147, 2, -5/9 Put -0.6, 130, 2 in decreasing order. 130, 2, -0.6 Sort 0, -1, 13 in increasing order. -1, 0, 13 Put 4, 5, 28, 0 in descending order. 28, 5, 4, 0 Sort 5, 3, 70, -5/2. -5/2, 3, 5, 70 Sort -4, 7, 1, -542 in increasing order. -542, -4, 1, 7 Put -3, 6, -17, 2/7 in increasing order. -17, -3, 2/7, 6 Put -5, -2, -0.07, -3 in ascending order. -5, -3, -2, -0.07 Sort -5/4, 233, 7 in descending order. 233, 7, -5/4 Put 5/4, -0.1, 0.4 in decreasing order. 5/4, 0.4, -0.1 Put -0.1, 71, -0.2, 1 in ascending order. -0.2, -0.1, 1, 71 Sort 2, 0.2, 11, -7, 0.4 in increasing order. -7, 0.2, 0.4, 2, 11 Put -2, 0.043, 0.01 in increasing order. -2, 0.01, 0.043 Sort -3, -0.4, -0.016, 0.17, 0 in descending order. 0.17, 0, -0.016, -0.4, -3 Put 3/7, 0.78, 0.06, -5 in decreasing order. 0.78, 3/7, 0.06, -5 Sort 0, -2, -288, 5, 2. -288, -2, 0, 2, 5 Sort -24, 4, 12 in ascending order. -24, 4, 12 Put -6, -4, 41 in decreasing order. 41, -4, -6 Sort 3, -2/5, 2/29, 0.2, 2/7. -2/5, 2/29, 0.2, 2/7, 3 Put -7, -3, -1, -161 in decreasing order. -1, -3, -7, -161 Put 1/5, -2/9, -1/4, -3 in descending order. 1/5, -2/9, -1/4, -3 Sort 2, -66, -2, 1, 6 in decreasing order. 6, 2, 1, -2, -66 Sort 5, -12, 0. -12, 0, 5 Sort 0, -2, 2, 15 in descending order. 15, 2, 0, -2 Sort -3, 1/2, -8213 in ascending order. -8213, -3, 1/2 Put 0, -5, -1, 25 in descending order. 25, 0, -1, -5 Put -1/32, -7/4, 0.5, 0.1, 0.3 in ascending order. -7/4, -1/32, 0.1, 0.3, 0.5 Sort 0.06, 0, -36, 5 in decreasing order. 5, 0.06, 0, -36 Put 28, 24, 0 in decreasing order. 28, 24, 0 Sort -12, -5, 1. -12, -5, 1 Sort -4, -1/2, 0.5, 4. -4, -1/2, 0.5, 4 Put 4, 1, 166 in decreasing order. 166, 4, 1 Put -6.535, -2/5, 1/2 in decreasing order. 1/2, -2/5, -6.535 Sort 5, -2, 1. -2, 1, 5 Sort -62, 2, -0.1, -1/2 in descending order. 2, -0.1, -1/2, -62 Put -103, 3, 4 in decreasing order. 4, 3, -103 Put 2/3, -0.3, 0, -2/5, 4 in ascending order. -2/5, -0.3, 0, 2/3, 4 Put -3, -160, 0.4 in descend
{ "pile_set_name": "DM Mathematics" }
decreasing order. 114, 0, n, -5/4, -2 Let w(d) = -d**2 + 545*d - 7438. Let x be w(14). Suppose -3*n + 13 = 5*m, 4*m + n - 16 = -0*n. Sort x, 12, m in increasing order. x, m, 12 Let k = 9 - 9. Suppose 3*h + 4*b - 25 = k, 0*b - 3*b = -h - 9. Let l = -246 - -250. Put h, l, -8 in descending order. l, h, -8 Let s be -4 - (-20)/(-20)*-12. Sort s, 5, 69. 5, s, 69 Let c = -2957 - -2959. Put c, 3/2, 487 in decreasing order. 487, c, 3/2 Let l = 2.843 + -2.343. Let f be 0 + ((-10)/(-12))/5. Sort f, l, -3/5 in descending order. l, f, -3/5 Let p = -36.802 - -10.802. Sort -2/3, 4, -1/29, p. p, -2/3, -1/29, 4 Suppose 5*f + 2*b = 31, -3*b = -4*f - 22 + 33. Let k be 7/4 + 3/12. Let j be (-3 - -2) + k + -3. Put j, f, -9 in increasing order. -9, j, f Let r = -15.3 - -11.14. Let d = r + 0.16. Let x = 15.63 - 15.61. Put d, -1, x in decreasing order. x, -1, d Let n(b) = 24*b**2 - 78*b - 64. Let d be n(-1). Let h(r) = 2*r + 9. Let m be h(-6). Put 6, m, -2, d in descending order. d, 6, -2, m Suppose 2*v + 4*p - 76 = 0, -5*v + 32 + 145 = -3*p. Let i be v/(-5)*90/(-36). Let t = i + -13. Sort -1, -10, t in ascending order. -10, -1, t Let k = 4182 + -4179. Put -680, k, -0.7 in decreasing order. k, -0.7, -680 Let f = -890.4 - -890. Put f, 41, -3, 0.3 in ascending order. -3, f, 0.3, 41 Suppose 1 = -259*b + 273*b - 13. Put -1, 2, b, -26 in decreasing order. 2, b, -1, -26 Let v = -1 + -7. Let m = -7.8 - v. Let r = -0.133 - 5.867. Sort r, m, -4, -2 in descending order. m, -2, -4, r Let f be 1 + ((-4)/(-3))/(-1)*70/105. Put -44, f, -2 in increasing order. -44, -2, f Suppose 0 = -3*c + f + 16, -2*c - 3 = -5*f - 18. Let h(u) = -u**3 + 15*u**2 - 53*u + 28. Let o be h(10). Sort o, c, 1, -17 in ascending order. -17, o, 1, c Let o = 330 + -330. Suppose 0*h + 10 = -5*h - 5*a, 26 = 2*h - 4*a. Suppose t + s - 5 = h*t, 5*t - 4*s = -5. Sort t, 4, o in ascending order. t, o, 4 Suppose -o + 4*j + 53 = 11, -5*o - 4*j = -66. Put o, 2, -30 in decreasing order. o, 2, -30 Suppose 0 = -11*h + 198 - 132. Put h, -6, 26, 4 in descending order. 26, h, 4, -6 Let q = -30152 - -120607/4. Let x = 0.3 + 2.7. Sort q, -1/8, -0.1, x in descending order. x, -0.1, -1/8, q Let d be 6/4 + (-2457)/(-182). Put 14, -5, 1, d in descending order. d, 14, 1, -5 Let c = 20498 - 20489. Sort -7, -2, -19, c in descending order. c, -2, -7, -19 Let p = -4454 - -4482. Put -8, p, 2, -2 in decreasing order. p, 2, -2, -8 Let m = -0.041 - -0.861. Let h = m - 0.02. Let d = 12776 - 12776. Put d, 5, h in increasing order. d, h, 5 Let d = -3818 - -3817. Sort -119, 4, d in increasing order. -119, d, 4 Let m = -252 + 281. Suppose 5*t = 3*n + m, -4*n - 35 = -5*t + 2. Put 2, 5, n in decreasing order. 5, 2, n Let w = 0.06172 + -0.06172. Suppose -58 = 5*k + z - 202, -5*z - 92 = -4*k. Let x = 83/3 - k. Sort x, -1, w, 5 in decreasing order. 5, w, x, -1 Let j = 1039.2 + -1039. Sort -1, 18/7, j in descending order. 18/7, j, -1 Let y = -88 + 81. Suppose 0 = 3*n + 5*q - 17 - 12, -10 = 5*q. Suppose n = 6*z + 43. Put z, y, -2 in descending order. -2, z, y Let r = 23719 + -71156/3. Put r, 3/4, -0.04, 2/45, -0.3 in ascending order. -0.3, -0.04, 2/45, r, 3/4 Suppose -1178 - 1112 = -229*f. Sort 2, f, 5, -8, 4 in increasing order. -8, 2, 4, 5, f Let b(h) = -2*h**2 + 99*h - 649. Let t be b(8). Sort t, -6, 0, -1, 2 in decreasing order. t, 2, 0, -1, -6 Let g be -7*3/6*2. Let r(p) = p**2 + 8*p + 9. Let x be r(g). Let a = 361 - 360. Sort 3, x, a in increasing order. a, x, 3 Suppose 1103 = 15*c + 833. Sort 0.3, 6, 2/9, c. 2/9, 0.3, 6, c Let k = -395 + 5. Let i = -388 - k. Put 0.3, 9, i in decreasing order. 9, i, 0.3 Suppose -4*z = 3*z - 5*z. Let r be (2 + z)/8 - (-93)/124. Put 17, r, 5 in increasing order. r, 5, 17 Let k be (2/(-8) - (-5)/4)*44/242. Sort 3, -1.43, k, -1, -1/5. -1.43, -1, -1/5, k, 3 Let r(x) = -36*x - 131. Let i be r(-3). Sort -2, 7, i. i, -2, 7 Let u = -2.95 + -0.05. Suppose -3 - 17 = 5*z. Let q = -18/481 - -1016/1443. Sort z, u, q in decreasing order. q, u, z Let n = 2 - 5. Let z be (-414)/1518*(-110)/6. Put -4, z, n, -14 in increasing order. -14, -4, n, z Let o(k) = k**3 - 3*k**2 - 10*k + 16. Suppose 53*a - 55*a + 6 = 0. Let t be o(a). Let w(z) = 2*z + 2. Let p be w(-2). Sort p, t, 3 in increasing order. t, p, 3 Let d = -254 + -4. Let f = d - -1035/4. Sort -1/2, f, -0.1 in descending order. f, -0.1, -1/2 Let p = -131 + 99. Let n = -31.524 - p. Let s = -0.076 + n. Sort -2, -1, -4, s in descending order. s, -1, -2, -4 Let v = 4236 + -4233. Sort 2, v, 50 in descending order. 50, v, 2 Let b(p) = -p**3 - 4*p**2 - 83*p - 153. Let a be b(-2). Put 7, a, 1, 4 in descending order. 7, a, 4, 1 Suppose -73*p + 49*p = -24. Sort -5, 0, 4/29, p in descending order. p, 4/29, 0, -5 Let k(d) be the third derivative of d**4/8 + 7*d**3/6 - 15*d**2. Let f be k(3). Let j(m) = 2*m - 29. Let b be j(f). Sort -4, b, -0.5. -4, -0.5, b Let k be 222/(-185)*(-20)/12. Put 4, 5, k, -2 in ascending order. -2, k, 4, 5 Let i = 6 + -5.7. Let y = -1.73 - -4.855. Let l = -0.125 + y. Sort i, 1/4, l in descending order. l, i, 1/4 Let p(c) = c**2 + 29*c - 150. Let s be p(-34). Suppose -33*u = -23*u - s. Put 6, u, -2, 1 in decreasing order. 6, u, 1, -2 Suppose -46 = -38*i - 17 - 67. Sort 4, 0, 1, i, -4 in decreasing order. 4, 1, 0, i, -4 Suppose 3 = -2*o - 1. Let q = 123009 + -123010. Put o, 3, -26, q in ascending order. -26, o, q, 3 Let o = 8.5 - 7.6. Let v = 4.9 - o. Let f be 4/(-14) + (-552)/28. Put f, 0, v, -4/7 in descending order. v, 0, -4/7, f Let m = 92 + 68. Let l = m - 83. Put l, 0.3, -0.3, -5 in increasing order. -5, -0.3, 0.3, l Let i(l) = -l**3 + 22*l**2 + 5. Let o be i(22). Suppose -a + 3*f = -o*a + 13, -4*a + 3*f = 5. Sort 3, a, 13, 4. a, 3, 4, 13 Let d be 2 - 1/((-1)/(-1)). Let h = -174362 + 174360. Sort 0, -13, d, h. -13, h, 0, d Let n(t) = -t**3 - 14*t**2 + 49*t - 29. Let u be n(-17). Suppose -4*h + 252 + 36 = 0. Suppose -h = -u*x - 2. Put 3, 0, x in descending order. x, 3, 0 Let i be 2/(-5)*60/9. Suppose 0 = -53*k + 8045 - 7939. Put i, 0, k, 4 in increasing order. i, 0, k, 4 Let v = -398 - -398. Let j = 72 + -69. Put v, 10, 1, j in descending order. 10, j, 1, v Let t be 0/((-1)/2*2). Let d be (-11620)/3486*(-18)/(-15). Sort d, -2, 8, t. d, -2, t, 8 Let g(j) = j**3 + 10*j**2 + 8*j - 8. Let x be g(-9). Suppose 833*h = 832*h + 4. Let y = x - h. Sort 0.3, 3/4, 1, y in increasing order. y, 0.3, 3/4, 1 Let m(h) = -29*h + 692. Let k be m(24). Sort 36, k, 3/5, -2 in decreasing order. 36, 3/5, -2, k Let j be 1*(-22)/(-110) + 58/(-90). Let y = -2.03 - -0.03. Put 0, -5, j, y in decreasing order. 0, j, y, -5 Let i = -86222.02 - -86222. Let f be ((-1)/(-20))/((-1)/(-2)). Put i, 2, f, 4 in increasing order. i, f, 2, 4 Let y = 6068 - 6067.7. Put 2, -1.3, 88, y in descending order. 88, 2, y, -1.3 Let m = 1501099 - 1501101. Let d = -14 + 0. Suppose 12 = -4*c + c. Put d, c, -3, m in increasing order. d, c, -3, m Let m = -189 - -189.0034. Let c = m - 0.0334. Let x = -5 + 4.6. Put x, c, -4 in descending order. c, x, -4 Suppose 5*g = -10, -144*u = -149*u + 5*g + 5. Put -50, u, 18 in descending order. 18, u, -50 Suppose 128 = -2*c - 4*a, c + 3*a + 60 = -a. Suppose -6 = -2*r - l, 83*r - 84*r + 4*l = -3. Sort -4, r, c in ascending order. c, -4, r Let f(a) = 61*a + 1111. Let p be f(-19). Sort -5, p, -3, 5. p, -5, -3, 5 Let r be ((-6)/8)/(1/4). Let t(b) = b**3 - 116*b**2 - 990*b - 212. Let p be t(124). Put r, 0, p in descending order. p, 0, r Let r = 36.1 + 131. Let k = -167 + r. Sort -0.3, 9, k in decreasing order. 9, k, -0.3 Let x be 81/255 + (-23)/115. Put 6, x, -0.3 in ascending order. -0.3, x, 6 Let p = 8024 - 8024. Suppose -v + a - 3*a = 0, 5*v = -2*a - 16. Sort -3, p, v, 5 in ascending order. v, -3, p, 5 Let n = -3 + 2.8. Suppose 1797 - 635 = -946*z - 730. Put 94, n, z in decreasing order. 94, n, z Let p be 1*(-1 + -1)*129/86. Let v be 2/3*6/(-10). Put p, 2/9, v in decreasing order. 2/9, v, p Suppose -3*f = 2*x - 24, -4*f + 12 = -28*x + 24*x. Suppose 0 = -5*y + 4 + 1. Suppose -t + 2 = y. Put x, t, 36 in descending order. 36, x, t Let d(w) be the third derivative of -w**6/120 + w**5/15 + w**4/3 - w**3 - w**2. Let k be d(5). Let r = -2614029 - -2614033. Put 2, r, k in decreasing order. k, r, 2 Let b(m) = -468*m + 2349. Let p be b(5). Put -0.2, p, -13, -3 in descending order. p,
{ "pile_set_name": "DM Mathematics" }
2, n: 4}. What is prob of sequence gkyk? 1/840 Two letters picked without replacement from ixrrgxirsrrrrrrggrg. Give prob of sequence xx. 1/171 Calculate prob of sequence apak when four letters picked without replacement from {a: 4, k: 1, p: 8}. 4/715 What is prob of sequence pzm when three letters picked without replacement from {e: 1, m: 1, c: 2, z: 5, p: 1}? 1/144 Two letters picked without replacement from lllllllllllllvlvll. What is prob of sequence lv? 16/153 Three letters picked without replacement from chchhcchhh. Give prob of sequence chh. 1/6 Calculate prob of sequence lab when three letters picked without replacement from {a: 1, l: 1, g: 6, b: 1}. 1/504 Two letters picked without replacement from {m: 1, j: 4, s: 3, h: 2, v: 3, o: 3}. What is prob of sequence hj? 1/30 Calculate prob of sequence sl when two letters picked without replacement from ssgsjgsslgsgskg. 1/30 Two letters picked without replacement from {j: 2, d: 1, l: 2, o: 7}. Give prob of sequence jl. 1/33 Three letters picked without replacement from {x: 10, o: 4}. What is prob of sequence oox? 5/91 Four letters picked without replacement from {b: 6, t: 4, j: 9}. What is prob of sequence bttt? 1/646 Two letters picked without replacement from umuhruuyy. What is prob of sequence hu? 1/18 Two letters picked without replacement from {n: 2, z: 4, a: 1, e: 2}. Give prob of sequence an. 1/36 Calculate prob of sequence axoa when four letters picked without replacement from ohaoxwaahdaxxx. 4/1001 Calculate prob of sequence xyj when three letters picked without replacement from tyxhjjjhjj. 1/144 Three letters picked without replacement from {h: 1, e: 3, o: 2, p: 1, j: 3}. Give prob of sequence poj. 1/120 Three letters picked without replacement from jiiitxiijiijxtijjiji. What is prob of sequence iji? 3/38 What is prob of sequence lbw when three letters picked without replacement from {l: 3, b: 8, i: 1, d: 2, n: 1, w: 1}? 1/140 Calculate prob of sequence pj when two letters picked without replacement from {j: 1, l: 12, p: 6}. 1/57 Two letters picked without replacement from {s: 1, x: 2, r: 11, c: 2}. Give prob of sequence sx. 1/120 Two letters picked without replacement from {p: 10, w: 10}. Give prob of sequence pw. 5/19 Four letters picked without replacement from {m: 2, k: 4, u: 4}. What is prob of sequence kmkk? 1/105 Two letters picked without replacement from ubbbbuywubububbuwu. Give prob of sequence wu. 7/153 Four letters picked without replacement from pkkpppnpkpnk. Give prob of sequence nkpk. 2/165 Calculate prob of sequence mm when two letters picked without replacement from {y: 3, m: 9}. 6/11 Four letters picked without replacement from ljljjllljlk. What is prob of sequence jjlj? 1/55 Calculate prob of sequence mgmg when four letters picked without replacement from {g: 2, m: 4}. 1/15 Three letters picked without replacement from lxppfflpppflflfflpf. What is prob of sequence xlf? 35/5814 Four letters picked without replacement from {s: 1, z: 2, u: 1, e: 4, a: 3, j: 1}. Give prob of sequence zaja. 1/990 Four letters picked without replacement from {v: 2, f: 1, p: 1, t: 1, l: 1, m: 2}. What is prob of sequence mlmt? 1/840 What is prob of sequence ssr when three letters picked without replacement from rrqqwssqssss? 1/22 Calculate prob of sequence nn when two letters picked without replacement from wpwnrr. 0 What is prob of sequence mmy when three letters picked without replacement from ymyymmmmmyymymnmmn? 15/136 Calculate prob of sequence laz when three letters picked without replacement from {a: 1, l: 1, z: 2}. 1/12 Two letters picked without replacement from yybtbr. What is prob of sequence tb? 1/15 Two letters picked without replacement from {q: 3, e: 6, x: 1, s: 4}. Give prob of sequence sq. 6/91 What is prob of sequence zs when two letters picked without replacement from {s: 2, z: 3}? 3/10 Three letters picked without replacement from {q: 1, b: 6, j: 5, e: 1, l: 3, v: 3}. What is prob of sequence lqv? 1/646 Calculate prob of sequence kbh when three letters picked without replacement from tztkbtthbhht. 1/220 Two letters picked without replacement from vhiiiihhvwvvviv. Give prob of sequence vw. 1/35 Two letters picked without replacement from oqom. What is prob of sequence mq? 1/12 Three letters picked without replacement from hhhtttthtt. Give prob of sequence hth. 1/10 What is prob of sequence mmel when four letters picked without replacement from llemlomoao? 1/840 Three letters picked without replacement from {z: 1, x: 5, w: 1, t: 2}. What is prob of sequence ttw? 1/252 Calculate prob of sequence gdhh when four letters picked without replacement from {h: 2, g: 3, d: 5}. 1/168 What is prob of sequence kzw when three letters picked without replacement from zkkwzwzwww? 1/24 What is prob of sequence ass when three letters picked without replacement from asssaasssssssss? 66/455 Two letters picked without replacement from hrnnino. Give prob of sequence nn. 1/7 What is prob of sequence gko when three letters picked without replacement from xtgtogk? 1/105 What is prob of sequence qee when three letters picked without replacement from {e: 2, q: 4}? 1/15 Four letters picked without replacement from {v: 1, h: 5, r: 1, a: 2, g: 3}. What is prob of sequence agah? 1/396 What is prob of sequence eyx when three letters picked without replacement from {e: 4, y: 3, h: 4, x: 3}? 3/182 Two letters picked without replacement from {k: 4, s: 5, y: 1, h: 3, m: 1}. Give prob of sequence ss. 10/91 Calculate prob of sequence efet when four letters picked without replacement from teffftffffef. 4/1485 Four letters picked without replacement from qsfchkshfkhhfkcck. What is prob of sequence fkkf? 3/2380 Two letters picked without replacement from iiidiiiiiiibi. Give prob of sequence bd. 1/156 What is prob of sequence mwm when three letters picked without replacement from mmwwmwgmwmmmw? 35/286 Two letters picked without replacement from vvvldxddvvdvx. Give prob of sequence xl. 1/78 Three letters picked without replacement from yhhhhyhhhdyyy. What is prob of sequence dyy? 5/429 Three letters picked without replacement from pppaaaapvaaapapppap. Give prob of sequence ppp. 28/323 Four letters picked without replacement from kcqwq. Give prob of sequence wqck. 1/60 Calculate prob of sequence jh when two letters picked without replacement from nkzjnwhh. 1/28 Three letters picked without replacement from uufffhhuffhfhu. What is prob of sequence fhu? 4/91 Calculate prob of sequence hzh when three letters picked without replacement from hhmzzzhhzhmmzmzmzhm. 35/969 What is prob of sequence jnjn when four letters picked without replacement from jnnjnjjjnjjjnjjj? 55/1092 What is prob of sequence khxb when four letters picked without replacement from {y: 2, p: 1, b: 1, h: 1, k: 1, x: 1}? 1/840 What is prob of sequence ekp when three letters picked without replacement from eepepepekeipekeenee? 44/2907 Three letters picked without replacement from ylryqliqillylsyqlis. What is prob of sequence iil? 2/323 What is prob of sequence mw when two letters picked without replacement from {z: 1, s: 2, m: 1, w: 1}? 1/20 Four letters picked without replacement from assqzaqg. Give prob of sequence zaga. 1/840 What is prob of sequence fzf when three letters picked without replacement from {z: 5, c: 1, h: 1, f: 2}? 5/252 What is prob of sequence ovk when three letters picked without replacement from {v: 1, h: 1, x: 1, o: 1, k: 1}? 1/60 What is prob of sequence qqqu when four letters picked without replacement from {f: 6, q: 4, u: 5}? 1/273 Calculate prob of sequence iv when two letters picked without replacement from {i: 2, l: 1, z: 8, f: 2, v: 1}. 1/91 Calculate prob of sequence glpu when four letters picked without replacement from rppuuprgpl. 1/630 What is prob of sequence fz when two letters picked without replacement from ffftfrffrffzfff? 11/210 Calculate prob of sequence ofoa when four letters picked without replacement from afcqqaoo. 1/420 What is prob of sequence oh when two letters picked without replacement from {u: 3, a: 3, h: 2, p: 1, o: 1}? 1/45 Three letters picked without replacement from {d: 3, s: 1}. What is prob of sequence dds? 1/4 Three letters picked without replacement from alalljalamulju. What is prob of
{ "pile_set_name": "DM Mathematics" }
oes t = -106? False Suppose 0 = -9*q - 2*q + 2508. Which is bigger: -1/4 or q? q Suppose -7*n + 287 - 301 = 0. Is n equal to 63/2? False Suppose -2*n - 2*c = -46, 3*n - 7*n - 3*c + 89 = 0. Suppose -53 = -n*k + 127. Which is bigger: 31/4 or k? k Suppose 5*z + 14 = 34. Let t be 1 + 70*2/z. Let w be ((-1)/21)/((-12)/t). Are w and 0 equal? False Let b = -1/27 + 31/108. Let h(k) = 6*k + 25. Let i be h(-4). Are i and b non-equal? True Let w = -60318/61 + 989. Let b = 541/1647 - w. Let j = 1/54 + b. Do j and 0 have the same value? False Let h(r) = r**2 + 6*r + 6. Let z be h(-5). Suppose -c = -z, -3*w - c = -4*c. Let m be (-1 - -2)*w/(-7). Which is smaller: m or 1? m Let t(a) = 2*a**2 - 4*a + 152. Let x be t(11). Do 350 and x have the same value? True Let v = 137.080171 + -0.035171. Let w = 137 - v. Which is smaller: w or -0.1? -0.1 Let o be (-1)/(6/18) - -9 - -4. Is 41/4 bigger than o? True Let x = 10.37 + -12.37. Suppose -m + 28 = 4*d - 77, -d = -4*m - 39. Is x > d? False Let l = 1 - -1. Suppose 4*o = 2*q + 32, -l*q - q + 22 = 4*o. Let g = -392 - -397. Which is greater: o or g? o Suppose -4*f + 2*q + 246 = -170, f - q = 105. Let j = f + -89. Which is greater: 25/2 or j? j Let q be (-30)/(-65)*5/3. Which is greater: -2/13 or q? q Let a be (1/2)/(1/(-14)). Let q be 693/(-56) - -6 - 1/(-8). Let x = q - a. Which is greater: x or 2? 2 Let j be (2 - 3)/((-2)/(-1 - -59)). Suppose -2*s - 2*k - j = s, -2*k - 11 = s. Do s and -7 have different values? True Let b be (9 - 10)/((-1)/5). Let s be (-50)/44 - b/(-10). Which is greater: -2 or s? s Let k be (-90)/((-4 - -2) + 0). Let m be (12/(-10))/((-18)/k). Suppose 12*z - m = 11*z. Is 2 greater than or equal to z? False Let g = 2163 + -2287. Does g = -743/6? False Suppose 7*s - 12*s + 4*v - 276 = 0, 0 = 5*s - v + 279. Which is smaller: s or -53? s Suppose -a + 2 = 0, 0*q + 2*q = 4*a + 288. Let c = -1630/11 + q. Is c greater than -3/4? True Suppose -5*k + 95 = -3*f - 337, -k - 432 = 3*f. Is -148 >= f? False Let j = -8 - -2. Let x be ((-2)/(-6))/(2/j). Let t = -3.3 + 3.31. Which is smaller: t or x? x Let z = -6/827 + -12057/47966. Is z less than or equal to 0? True Let n be 0 + 4 - (3 - 1). Suppose n*p - 14 - 2 = 0. Let x = -3 - -11. Are x and p unequal? False Suppose -36*o = -39*o. Is o less than or equal to -1/566? False Let t = -17/2823 - 645515/158088. Let b = t + 35/8. Which is bigger: b or 23/2? 23/2 Let q = 0.2 + -0.24. Let c = 40 + -42. Let d = 4 + c. Which is bigger: q or d? d Let c be (-30)/((-7)/(0 + 1)). Let s be (-10 + (-15)/(-3) + 2)/(-1). Is c greater than or equal to s? True Let t be (-36)/(-63)*7/2. Suppose 0 = u - 71 - 7. Let z = -230/3 + u. Are z and t nonequal? True Let n = 37 - 60. Let z = 22 + n. Which is smaller: 0 or z? z Suppose -5*z + 6*z = -5*z. Let h be z + 369/(-120) + 3. Which is smaller: h or -1? -1 Let p = -4 - -3.8. Let m = p - 1.8. Let k = -118.96 - -119. Which is smaller: k or m? m Suppose 1263*m = 1272*m + 27. Is -78 at least as big as m? False Let u = -0.403 - -0.603. Is 95 bigger than u? True Let o be 277/(-3) + 6/18. Is -92 < o? False Let k be 4/6 + (-2981)/2244. Let n = k - -7/17. Let s be (-1 - (3 - 3))/(-1). Is s != n? True Let h be -101 + (-3)/((-9)/15). Is -96 at most h? True Let s = -2082 + 1990. Which is smaller: -1 or s? s Let q = 129 - 79. Is 0.1 >= q? False Suppose 6*b = 4 + 2. Suppose 2*u - 4*i = 2, -2*i + b - 4 = -3*u. Which is greater: u or -3/8? u Let l = -0.193 - -0.293. Let n = -0.15 - 12.85. Is n smaller than l? True Let p = -4 - -9. Suppose p*q + 4 + 1 = 0. Let f = -17 + 19. Which is smaller: q or f? q Suppose 5*o + 3 = 2*z, -4*o + z + 6 = 9. Suppose i = -i - 52. Let r be i/39*o/3. Is r equal to 1? False Let u = -2249 + 2250. Which is smaller: -103 or u? -103 Let s be (3/(-94))/(6/(-8)). Let k(u) = -u**2 - 11*u + 25. Let j = 56 - 69. Let y be k(j). Which is greater: s or y? s Let a = -3820/11 + 347. Which is smaller: 1 or a? a Let j(i) = i + 5. Let w be j(-6). Let g be 0/(-2) + (48/270)/(-4). Which is bigger: w or g? g Let d = 96 + 48. Let v = 210 - d. Is 0 <= v? True Let p = -147.4 + 13.4. Which is bigger: p or 0.2? 0.2 Let l = 372 - 334. Which is greater: l or 36? l Let s be ((-23)/1)/((-3)/3). Let n = 11 - s. Do n and -11 have different values? True Let z = 1.2 - 0.53. Let g = -0.77 + z. Which is bigger: -19 or g? g Suppose 5*o + 2*v - 333 = 0, -5*o + 54*v + 340 = 49*v. Let y(j) = 8*j - 11. Let t be y(10). Is t greater than o? True Let s = -1242/5 - -13722/55. Is s not equal to 13? True Let d = -3.4 - -2.98. Let a = 0.08 - d. Let v = a - -0.1. Is v at least as big as -0.1? True Let s = -1406/17 - -10697/102. Is 22 equal to s? False Let u = 379382/57 - 6656. Which is greater: u or -1? u Let n = -4 + 4. Suppose 4*w + 4 + n = 0. Let l be 7/42 + w/(-6). Is 7 greater than or equal to l? True Let q = -145 + 168. Which is smaller: q or 25? q Suppose g + 0 = 21. Let h = g - 40. Is h less than or equal to -17? True Suppose 0 = 2*b - 6. Let v = -5 - b. Suppose -17*s - 21 = -14*s. Do s and v have the same value? False Suppose -j - 4*h + 22 = -4*j, -j = h + 5. Let f be j/(-3) + (153/(-15) - -1). Is f less than or equal to -6? True Let b be (-222)/8 + 4/(-16). Let g be (1 - 2)/(10/b). Suppose -4*x + 16 - 4 = 0. Which is greater: g or x? x Let j be 3/7 - 3417/4641. Let n be 183/12 - 1/4. Suppose 3*w - 2*w + 13 = 4*a, -5*a + n = 0. Which is bigger: w or j? j Let t(i) = 3*i + 2. Let s be t(0). Let p(q) = -2*q + 10. Let l(n) = 6*n - 31. Let f(x) = -3*l(x) - 8*p(x). Let o be f(6). Which is greater: s or o? s Suppose m = 7*m - 72. Suppose -m = -2*b - 2*i, 5*b - 5*i - 44 = -3*i. Is b greater than or equal to 8? True Let l(y) = y**3 + 6*y**2 + 6*y + 3. Let z be l(-5). Let v = 29/24 + -15/8. Which is greater: v or z? v Let p = 7 + 2. Let n = 9.8 - p. Let d = 3.2 + n. Is 1/4 > d? False Let m = 1388.5 + -1389. Which is smaller: -19 or m? -19 Let q(s) = s - 5. Let y be q(11). Suppose 0 = -y*r + 5*r. Is r greater than -1/105? True Let c be 24 - -35 - 10*1/2. Which is greater: 52 or c? c Let t be (-2492)/(-572) + -11 - 4/(-22). Let n = 1 + -8. Which is smaller: n or t? n Let c = -245.9 - -246. Do 47 and c have the same value? False Suppose 20 = 5*z, -3 = -3*i + 5*z - 2*z. Suppose -i*a = -63 + 78. Is -3 equal to a? True Let z = 4283/55 + -393/5. Which is smaller: 0 or z? z Let w = 0.9 - -9.1. Let b = w - 9.86. Let t = 0.12 - b. Is 2/7 less than t? False Let t = -664 - -668. Is 7 > t? True Let j be (-2)/(-5)*(-575)/(-20). Suppose -3*z + 2*z + 12 = c, 5*z - 24 = -2*c. Which is smaller: j or c? j Let z be (-5135)/(-1560) - ((-34)/12 + 2). Are z and 0 unequal? True Suppose 2 = -2*z + 14. Let b(m) = 2*m**3 + 11*m**2 + 4*m - 2. Let g be b(-5). Suppose 3 + z = g*a. Is a smaller than 15/4? True Let j(t) = t**2 - 14*t - 100. Let h be j(21). Which is smaller: h or 46? 46 Let j(a) be the second derivative of a**3/6 + a**2 - 6*a. Let n be j(-8). Let i be -1 + (0 - 4/1). Is i not equal to n? True Let h = 0.57 + -0.83. Let v = 11.26 + h. Is -0.3 equal to v? False Let b be 6/(-4 - (-30)/12). Which is smaller: b or -7? -7 Let b = 5888 - 276747/47. Which is bigger: -1 or b? b Let a = -5645/40764 - 1/948. Which is bigger: 1 or a? 1 Let i = -326 + 329. Which is greater: i or -24? i Let d = -98574094/1545 + 63802. Are d and -1 equal? False Let y = -1221 + 797. Let h = -2062/5 - y. Is h greater than or equal to 12? False Let q = 32 - 32. Suppose -45*b + 40*b + 30 = q. Let n(g) = -g + 5. Let y be n(b). Is 2/9 at least y? True Let o be -2 + (-5)/460*-183. Is 0 > o? True Let u = -40.5 + 41. Let h = u + -1.5. Which is greater: -8 or h? h Let o(d) = -4*d**3 + 14*d**2 - 8*d + 5. Let a be o(3). Let n(g) = g - 4. Let f be n(7). Let l be f*2*(-1)/(-3). Which is smaller: a or l? a Let u = -45 + 30. Let m = -18 - u. Let i = m + 1. Which is smaller: i or 2? i Let g be (2 - 4 - 1)/((-3)/(-13)). Is g < -2? True Let z = -984 + 985. Is -0.87 != z? True Let w be (-24)/110 + 6/15. Let k = -16 - 1. Let g = k - -16.9. Which is smaller: w or g? g Let m(f) = 14*f - 13. Let j(w) = w - 2. Let a(g) = -2*j(g) + m(g). Let t be a(3). Is 27 >= t? True Let w(b) = -b**3 - 28*b**2 - 27*b - 8. Let z be w(-27). Suppose 5 + 19 = -3*h. Is h <= z? True Let i = 5.7 - 5.9. Which is smaller: -0.32 or i? -0.32 Let a be (20/6)/((-89)/(-87) -
{ "pile_set_name": "DM Mathematics" }
3 Let x(t) = t**2 - t + 2. Let o be x(1). Let w be 0/1 - (-3 - -3). Let h(d) = -d**3 + d**2. Let k be h(w). Solve o*y - y + 1 = k for y. -1 Let t be (-6)/1*(-3)/9. Solve 2*w = w - t for w. -2 Suppose -2*y + 4*d + 16 = 0, 10*d = 2*y + 5*d - 15. Solve -y = 6*k - 8*k for k. 5 Suppose -5*r = -2*r + 2*w - 9, 0 = r + 3*w - 3. Solve 0 = r*g + 2*g - 10 for g. 2 Suppose -2 - 2 = -4*w - 4*v, 2*w + 3 = -3*v. Suppose 2*r - w + 2 = 0. Solve -3*b - r = 4 for b. -2 Let m = 4 - 2. Suppose 0 = -2*d + z + 12, m*z + 1 = -d - 3. Solve -d*a = 3 - 11 for a. 2 Let m(p) = p**2 - 5*p + 4. Let t be m(3). Let a = t - -6. Suppose -19 = i - a*w, 5*w = i + 2*i + 22. Solve -i - 1 = -2*f for f. 1 Suppose m = -5*y - 1, 4*m + 5*y - 8 = 33. Solve -5 + m = -3*k for k. -3 Let b = -25 + 29. Let j(p) = -p**2 + 6*p - 5. Let u be j(b). Solve u = 2*y + 5 for y. -1 Suppose 0*x + 3*x - 9 = 0. Solve 0*j = x*j - 3 for j. 1 Let u = 0 + 2. Solve -n = -u*n + 2 for n. 2 Suppose 5*m - 5*o = 10, -3*o = m - 5*m + 6. Suppose f - 2 = -l, m*l = 5*f + l - 2. Suppose -3*y = f, -4*z + 24 = -0*y - 2*y. Solve 0 = -5*s - 1 + z for s. 1 Suppose -4*v + 11 - 3 = 0. Let p = 12 + -4. Suppose -15 = -3*c + 3*h, 2*c + h + 5 = -c. Solve c*b - p = v*b for b. -4 Suppose -q = 6*q - 7. Solve -2*r = -1 - q for r. 1 Let o = 22 - 21. Solve -2 = q + o for q. -3 Let z be (-4)/(-16) - (-786)/(-8). Let q be (-28)/z - (-2)/(-7). Solve -2 = 2*m - q for m. -1 Let a = 11 + -8. Suppose 6 = -3*h - 6*q + 3*q, 9 = -3*h - 4*q. Let v be h + 2/((-6)/a). Solve v = 2*k - 1 - 1 for k. 1 Let j be (-5)/4 + 2/8. Let n be (3/(-1))/j - -3. Solve 6*c + n = 3*c for c. -2 Let b be -14*3/(9/(-21)). Let y be b/10 + (-8)/(-40). Suppose -30 + y = -4*j. Solve j*x - 16 = 4 for x. 4 Let d(g) = 40*g**3 - g**2 + 2*g - 2. Let i be d(1). Suppose -3*u - j - 4 = -23, -3*u = -3*j - i. Let n = -2 + 6. Solve 0*r + n*r = -u for r. -2 Let p(f) = f + 1. Let q be p(3). Solve 11 + 5 = q*b for b. 4 Let k = -9 - -15. Let u be (2/k)/((-2)/(-24)). Solve -y = 6 - u for y. -2 Let s be (-1)/(21/18)*-14. Solve -q = 2*q - s for q. 4 Let w = 4 - 1. Suppose -w*m + 0 - 3 = 0. Let k = 4 + m. Solve -k*i + 2*i = 1 for i. -1 Let f(h) be the first derivative of -h**4/4 + 4*h**3/3 + 7*h**2/2 - 5*h + 8. Let p be f(5). Let l = -1 + 1. Solve p*v = -l*v - 5 for v. -1 Let y be (12/8)/((-3)/(-8)). Suppose 0 = 3*z + 3*v - 54, y*z - 63 = -0*z - v. Solve 4*i = -i - z for i. -3 Let t(k) = k - 3. Let s be t(-9). Let o(g) = g**3 + 12*g**2 - g - 9. Let z be o(s). Solve 5*d - z = 2 for d. 1 Suppose -5*j + 13 = -2. Suppose -6*q = -7*q - 9. Let b be ((-3 - q) + -2)/1. Solve j*v - b*v = 5 for v. -5 Suppose 0 = 5*s - 0 - 15. Solve l + s = 2*l for l. 3 Let l = -92 + 96. Suppose 3*g = g - 10, 15 = -3*x - 3*g. Solve x*z - l = -z for z. 4 Let v = -4 + 6. Suppose 0 = -4*h + v*m + 12, -h + 2*m = -2*h + 13. Solve h*q + 0 = -5 for q. -1 Suppose f + 3 = 0, -2*f + 3 = -o - 4*f. Let d = 3 - o. Suppose -2*l - l = d. Solve -4*a - 1 + 5 = l for a. 1 Suppose 0*r = 2*r. Suppose 0 = 3*b + 2*w - 8, 5*b = -r*b - w + 4. Solve b = -2*f + f for f. 0 Let z = 85 + -63. Suppose -4*a + 20 = 3*n - 7*n, -7 = -a + 3*n. Suppose u - 3 = -3*w, 7*u + a*w - 9 = 4*u. Solve 5*d - u - z = 0 for d. 5 Suppose 0*o + 6 = 2*o + 4*m, 4 = -4*m. Suppose -o*x = 3*r, 0*r + 4*x = 5*r. Solve r = -5*a + 7 + 3 for a. 2 Let r be ((-2)/3)/(2/3). Let u = r + 6. Solve 5 = u*g - 5 for g. 2 Let b = -7 + 3. Let n be (b - -2)/(2/(-1)). Solve -n = -0*q + q for q. -1 Suppose -2*h - 2*t = -8, -t - 3 = -3*h + 5. Solve 0*u + h*u = 0 for u. 0 Let r be (-2)/3 + (-16)/(-6). Let n be 12 + -14 + 1*r. Solve n = -2*l - l - 3 for l. -1 Let z(f) = -f**3 - 6*f**2 - 8*f - 3. Let l be z(-5). Let n be (-1 - (-5)/4)*l. Let r be (12/(-9))/(2/(-3)). Solve -r*v = n*v for v. 0 Let y be (-6 - -1)*(-16)/10. Let m be (-4)/10 + y/(-5). Let f be m*(-1 - 1/(-2)). Solve 2*c = c + f for c. 1 Suppose 3*h + 2*f = 3*f + 12, -4*h + 3*f + 11 = 0. Solve h*s = s - 16 for s. -4 Suppose -7*d = -2*d + 115. Let u = -16 - d. Solve u*l = 4*l - 12 for l. -4 Let t(o) = -o**2 - 5*o - 4. Let z be t(-4). Suppose 5*m = 2*r - 6*r + 27, -4*m - r + 15 = 0. Solve z = m*x - x for x. 0 Let v(q) = 4*q**3 - q**2 - 3*q**3 + 3*q**2 + 4 + 4*q**2. Let o be v(-6). Solve 0 = -0*i - o*i + 8 for i. 2 Let s = -4 - -4. Let l be (-23)/(-4) - 7/(-28). Solve s = -2*o - o + l for o. 2 Let v(m) = m**3 - 7*m**2 + 3*m + 18. Let j be v(6). Solve -3*r - 12 = -j*r for r. -4 Suppose 3 = c + 2*v - 0, 19 = 3*c + v. Let s = -7 + c. Solve 0*q + q + 3 = s for q. -3 Let r = 1 - 1. Suppose 0 = -4*g - 4*u + 64, r*g - 80 = -5*g - 2*u. Solve -q + g = 3*q for q. 4 Let w = -18 - -22. Solve -u = u - w for u. 2 Let b(i) = -i**3 + 3*i**2 - 4*i + 2. Let z be b(2). Let s = z + 2. Solve r - 5*r = s for r. 0 Suppose -5*s - 2 - 3 = 0. Let i be -27 - 0/(2 + s). Let u be (2 + i/6)*-8. Solve 0 = 5*h + u for h. -4 Suppose -16 + 3 = p. Let w = 20 + p. Suppose -2*z + 8 = 0, w - 21 = -3*h - 2*z. Solve -12 = u + h*u for u. -4 Suppose -w - 28 = -2*w + 5*x, 5*x + 31 = 2*w. Let q be (-3 - -1) + 10 + 0. Solve q*u + 15 = w*u for u. -3 Suppose 2*l = -2*l + 16. Solve 4*r - l = 5*r for r. -4 Let o be 0*(0 - -1)*1. Let q(g) = -g**2 - 8*g + 13. Let h(y) = -y**2 + 2*y + 6. Let w be h(5). Let p be q(w). Solve 12 + o = p*l for l. 3 Let h(l) = -6*l + 24. Let i be h(4). Solve i = 5*t - 10 + 15 for t. -1 Suppose 4*z - 2*h - 24 = 0, 5 = 5*h + 15. Let i(t) = -t - 4 - 5*t + z*t. Let b be i(-7). Solve b*l - 1 = 8 for l. 3 Suppose -31 = -4*x - 15. Suppose 3*z + x*l - 12 = 8*l, 2*z - l = 8. Solve z = -0*f + 4*f for f. 1 Let i(o) = o**2 + 8. Let f(l) = 2*l**2 + l + 15. Let q(u) = 3*f(u) - 5*i(u). Let x be (5/2 + 0)*-2. Let a be q(x). Solve 0*p = 3*p - a for p. 5 Let z be (-6)/9 - 18/(-27). Solve -4*b - 8 - 4 = z for b. -3 Let r(k) = k**3 + 10*k**2 + 9*k + 12. Let s be r(-9). Let y be ((-6)/(-14))/(13/91). Solve 5*a - s = y for a. 3 Let b(a) = a**2 + 3*a + 2. Let v be b(-2). Suppose v*j + 5*z = j - 17, -3*j - 4*z - 6 = 0. Solve 0 + 4 = -j*d for d. -2 Let a(u) = u**2 + 5*u - 3. Let o be a(-6). Solve 0*l - o*l = 0 for l. 0 Let l(h) = 0 - 1 + h**2 - 6 + 3*h + 1. Let d(n) = -n**2 - 2*n + 5. Let v(g) = -6*d(g) - 5*l(g). Let o be v(3). Solve o = -8*z + 4*z - 12 for z. -3 Let m be (-34)/(-10) + -3 + (-52)/(-20). Solve -2*n = m*n for n. 0 Let j(n) be the first derivative of n**4/4 + 5*n**3/3 + 3*n**2/2 + n + 2. Let v be j(-4). Solve -4*r + v*r + 1 = 0 for r. -1 Let n(v) = v + 15. Let q be n(-7). Suppose -3*s = -4*y - q, -2*s + 3 = -2*y - 1. Solve s = -4*f - 6 + 2 for f. -1 Let g(f) = -f**2 - 7*f + 8. Suppose -4*n = -20, -4 = -4*m + 5*n - 61. Let u be g(m). Suppose 2*q = -5*y + 3 + 20, -3*q + 3 = -3*y. Solve -y*b - b = u for b. 0 Let q(y) = 3*y + 1. Let v be q(2). Let z = -2 + v. Solve -z*l - 6 - 14 = 0 for l. -4 Suppose -3*a - 9 = -396. Suppose 7*p - a = 6*p. Suppose -l + p = 4*l + 2*b, 3*b + 119 = 5*l. Solve 4*g + g - l = 0 for g. 5 Let m(g) = -g**3 - 11*g**2 + 27*g + 15. Let c be m(-13). Solve -6*w = -c*w for w. 0 Let u = -21 + 19. Let l be ((-1)/((-1)/u))/(-1). Solve 0 = l*x - 0 + 6 for x. -3 Let x(v) = -v**3 + 20*v**2 - 21*v + 40. Let j be x(19). Solve -2*n + j = -0*n for n. 1 Suppose -4*x - 2*d - 3 = x, 0 = 5*x - 5*d - 25. Solve -x = -3*k - 4 for k. -1 Suppose 4*m - 20 = -m, -3*m = -d - 2. Suppose -z = -d - 3. Solve 5*h - z = 12 for h. 5 Let g = -79 - -81. Solve -v + g*v = 1 for v. 1 Let z(n) = -2 + 8*n - 5*n - 4*n. Let i(l) = 6*l + 1. Let a be i(-1). Let g be z(a). Solve -b = -g*b + 6 for b. 3 Let q = 7 + -2. Suppose 0*r - 2*r - 34 = 0. Let g = r + 29. Solve -d + q*d = g for d. 3 Let w be 0*(0 + (-2 - -1)). Suppose 0 = -5*s - 2*p, 2*p - 7*p - 21 = 2*s. Let x be -1 - -7*(-1 + 2). Solve w = x*t - s*t for t. 0 Let u = -59 + 60. Solve u = 3*m + 7 for m. -2 Let l = -2 + 3. Solve l = f - 2 for f. 3 Let h = 13 + -9. Let d be 1 + (-26)/(-1) - 2. Solve -p - h*p = d for p. -5 Let c be (-3)/3*-3 - 3. Solve c*i = -3*i for i. 0 Suppose -4*y + 7 = -1. Suppose -5*m + 20 = 0, -y*b - 2*m + 18 = 2*m. Solve 5*w - 9 - b = 0 for w. 2 Suppose -3*g = -9 - 0. Suppose 0 = g*x - 0*x. Solve x = -a - 6 + 1 for a. -5 Let i(c) = c + 5*c - c**2 + 3 - 5*c - c**3. Let d be i(0). Suppose 2*l + l = 0. Solve l = -o + d - 2 for o. 1 Suppose 0 = 67*f - 70*f + 6. Solve 0 = 3*a - f*a + 3 for a. -3 Let x be -3 + 4 + 1 + 1. S
{ "pile_set_name": "DM Mathematics" }
11 prime? False Is 23965135 prime? False Is 1793717 a prime number? True Is 4422685 composite? True Is 2448247 a prime number? False Is 139354078 composite? True Is 19691663 prime? False Is 972787 composite? False Is 10758169 composite? False Is 45958561 a prime number? False Is 306083 a prime number? True Is 5024365 prime? False Is 33128951 prime? False Is 83137 prime? True Is 232612909 composite? True Is 421391 composite? True Is 2473907 a prime number? True Is 70769471 a composite number? True Is 9876899 prime? True Is 28783 prime? False Is 27793691 a composite number? True Is 38232401 prime? True Is 1249404557 prime? True Is 155246323 a prime number? True Is 4465189 a composite number? True Is 15649949 a prime number? False Is 201317293 composite? True Is 29126261 composite? False Is 4779743 a composite number? False Is 12584701 prime? False Is 2963705 prime? False Is 44972047 composite? True Is 308467 a prime number? True Is 4531855 composite? True Is 860047 prime? 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True Is 1914527 a prime number? True Is 96172997 composite? False Is 258016841 a prime number? True Is 2602453 composite? True Is 26539187 a prime number? True Is 33781121 a prime number? False Is 5480597 composite? True Is 13986157 prime? True Is 34366091 prime? True Is 10401361 prime? True Is 143561557 composite? False Is 197681 a prime number? False Is 10061059 a composite number? True Is 326887 a prime number? False Is 1914386 a prime number? False Is 4737989 a prime number? False Is 200273 composite? False Is 12137057 a composite number? True Is 83516647 a prime number? False Is 82517213 prime? True Is 21727451 composite? False Is 1014959 prime? False Is 4735349 composite? False Is 722953787 composite? False Is 436259 composite? True Is 10646639 a prime number? False Is 10484347 composite? False Is 48278047 composite? False Is 10469827 a prime number? True Is 23595559 a composite number? True Is 709663 composite? False Is 12129067 prime? True Is 74713979 composite? 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{ "pile_set_name": "DM Mathematics" }
2*x + 6. Let b(u) = 10*u**3 - 1 + 12*u**3 + 5*u**3 - 26*u**3. Give 6*b(q) + s(q). -4*q**3 - 2*q Let s(a) = -36*a**3 + 21*a**2 - 21*a. Let o(j) = 22*j**3 + j - 2. Let r be o(1). Let l(w) = -7*w**3 + 4*w**2 - 4*w. Calculate r*l(v) - 4*s(v). -3*v**3 Let x = -1 + 1. Suppose x = 3*c - 4*c - 3. Let g(u) = -u - 2. Let y(m) = -2*m - 4 - 1 + 1. Calculate c*y(p) + 5*g(p). p + 2 Let w(j) = -7*j**2 + 4*j. Let i(p) = 15*p**2 - 9*p - 1. Calculate 4*i(a) + 9*w(a). -3*a**2 - 4 Let c(v) = 11*v**2 - 7*v - 7. Let x(m) = 6*m**2 - 4*m - 4. Give 4*c(t) - 7*x(t). 2*t**2 Let s(f) = -4*f**2 + 3*f + 2. Let d(q) = 12*q**2 - 10*q - 7. Give 4*d(u) + 14*s(u). -8*u**2 + 2*u Let x(v) = -10*v**2 + 3. Let q(j) = 20*j**2 - 5. What is 3*q(r) + 5*x(r)? 10*r**2 Let o(m) = 4*m**3 + 3*m - 2. Let l(b) = -5*b**3 - 4*b + 3. Determine -2*l(c) - 3*o(c). -2*c**3 - c Let t(m) = 9*m**2 - 3*m - 5. Let w(u) = -13*u**2 + 5*u + 7. Determine 7*t(x) + 5*w(x). -2*x**2 + 4*x Let y(n) = n. Let w be 5 + (-3 - (2 + -1)). Let p(g) = -4*g - 2. Calculate w*p(x) + 2*y(x). -2*x - 2 Let x be ((-1)/(-1))/((-1)/9). Let f(s) = 5*s**3 - 9*s**2 - 9*s - 7. Let d(l) = 2*l**3 - 4*l**2 - 4*l - 3. Determine x*d(y) + 4*f(y). 2*y**3 - 1 Suppose -4*f = -5*y + 5, -2*f = -0*f - 4*y + 10. Let p(t) be the first derivative of -3*t**2/2 + 1. Let l(o) = 5*o - o - 2*o. What is f*l(a) + 4*p(a)? -2*a Let q = 11 + -10. Suppose -x - 2*x + 9 = 0. Let s(p) = -x*p + 1 + 2*p + 3. Let n(i) = -1. Give q*s(d) + 5*n(d). -d - 1 Let z(y) = -6*y - 11. Let m(p) = -7*p - 11. Calculate 5*m(x) - 6*z(x). x + 11 Let z(s) = 3*s + 10*s - 11*s + 6*s**2 + 10*s**3 + 11*s - 7. Let m(t) = 7*t**3 + 4*t**2 + 9*t - 5. Give 7*m(y) - 5*z(y). -y**3 - 2*y**2 - 2*y Let v(k) = 4*k - 10. Let d(l) = 1. Give -10*d(g) - v(g). -4*g Let d(v) = -v. Let a(p) = 4*p. Give -a(b) - 3*d(b). -b Let n(g) = 30*g - 30. Let o(s) = 5*s - 5. Let a(k) = -4*n(k) + 25*o(k). Let d be (1 - (4 + -2)) + 2. Let c(q) = q - d + 0*q + 0*q. Give -a(j) + 6*c(j). j - 1 Let f(x) = -4*x**3 - 10*x + 10. Let w(d) = d - 1. Calculate f(o) + 10*w(o). -4*o**3 Let j(m) = -m - 1. Let a(g) = -3*g**2 + 7*g + 2. Calculate a(k) + 4*j(k). -3*k**2 + 3*k - 2 Let s(a) = -a**3 - a**2 + a + 1. Let k(g) = -g**2 + 4*g + 2. Let l be (2 + -1 - -1) + -1. Determine l*s(f) - k(f). -f**3 - 3*f - 1 Let p(m) = -238*m + 118*m + 1 + 3 + 123*m. Let v(k) = -k - 1. What is 3*p(a) + 12*v(a)? -3*a Let j(r) = 5*r**2 - 6. Let y(n) = -12*n**2 - 1. Let w be y(-1). Let s(i) = 2*i + 10. Let m be s(-8). Let d(k) = -11*k**2 + 13. Calculate m*d(l) + w*j(l). l**2 Let m(s) = -25*s - 15. Let y(z) = 13*z + 8. Calculate 6*m(w) + 11*y(w). -7*w - 2 Let g(h) = h**3 - h**2 - h. Let r(l) = 2*l**2 - 3*l. Determine -3*g(b) + r(b). -3*b**3 + 5*b**2 Let s(x) = -3 + 11*x + 3 - 6*x. Let g(y) = -y - 1. Determine 2*g(h) + s(h). 3*h - 2 Let k(r) = -9*r - 9. Let t = -4 + 1. Let v(p) = -2*p + 2. Let l(i) = 2*i - 1. Let z(w) = t*v(w) - 4*l(w). Let c = 54 - 80. Calculate c*z(h) + 6*k(h). -2*h - 2 Let g(i) = -13*i + 33. Let x(a) = -6*a + 16. What is 4*g(z) - 9*x(z)? 2*z - 12 Let p(n) = n**2 + 0 + 0*n - 2 - n + n**2. Let j(t) = t**2. What is 4*j(h) - p(h)? 2*h**2 + h + 2 Let w(q) = 6*q**3 + 3*q**2 + 4. Let a(k) = 5*k**3 + 3*k**2 + 3. Give 4*a(i) - 3*w(i). 2*i**3 + 3*i**2 Let l(v) = 25*v**3 + 7*v**2 + 3*v - 5. Let u(q) = 13*q**3 + 4*q**2 + 2*q - 3. Calculate -3*l(p) + 5*u(p). -10*p**3 - p**2 + p Let x(w) = -4*w + 2. Let j(r) = 7*r - 3. Let i(d) = -10*d - 7. Let v be i(8). Let y be v/(-27) + 2/(-9). Suppose -z = -5*z + 20. Determine y*j(o) + z*x(o). o + 1 Let y = -104 - -148. Suppose -9 + y = 5*h. Suppose t + h = 1. Let v(k) = -k**2 + 6*k + 6. Let f(z) = z + 1. What is t*f(l) + v(l)? -l**2 Let s(r) be the second derivative of -r**4/4 - 4*r**3/3 - 5*r**2/2 - 63*r. Let q(d) = -4*d**2 - 9*d - 6. What is 5*q(o) - 6*s(o)? -2*o**2 + 3*o Let c(j) = 2*j - 11. Let d(r) = -5*r + 32. Calculate 11*c(o) + 4*d(o). 2*o + 7 Let q(b) = -1. Let a(g) = g**2 - g - 11. Suppose 3*n = -n - 88. Calculate n*q(w) + 2*a(w). 2*w**2 - 2*w Let b(h) = -2*h - 4. Let u(q) = q**2 - 3*q - 5. Determine 3*b(r) - 2*u(r). -2*r**2 - 2 Let u(f) = 2*f. Let r(a) = a**3 + 3*a. Let t be 3/(-1 - (-4 + 2)). Calculate t*u(l) - 2*r(l). -2*l**3 Let r = 6 - 3. Let i(b) = r + 6*b**2 + b**3 - 6*b - 2 - 4 - 1. Let j(a) = -7*a**2 + a + 1. Let z(t) = t**2. Let m(o) = -j(o) - 6*z(o). Determine i(p) - 6*m(p). p**3 + 2 Let w(x) = 1. Let u(j) = -4*j - 7. What is -u(h) - 2*w(h)? 4*h + 5 Let c(a) = 24*a - 23*a + 4*a**2 - 3*a**2 - 4*a**2. Let j(d) = 3*d - d - 7*d**2 + 0*d. Calculate -5*c(u) + 2*j(u). u**2 - u Let o(j) = -2*j**2 - 2. Suppose 1 - 2 = 3*r - 2*p, 5*r + 2*p - 25 = 0. Let l(b) = -5*b**2 - 4. Let z be (0 - 0 - -7) + -14. What is r*l(k) + z*o(k)? -k**2 + 2 Let o(i) = 17*i + 3. Let p(f) = 35*f + 7. Give -5*o(c) + 2*p(c). -15*c - 1 Let t(k) = k + 1. Let l(i) = -4*i + 7. What is -l(m) + 5*t(m)? 9*m - 2 Let d be ((-2)/(-4))/(1/(-12)). Let w(c) = -1. Let i(a) be the first derivative of a**2/2 + 3*a + 2. What is d*w(f) - 2*i(f)? -2*f Let c(a) = -a**2 - 6*a + 6. Let w(f) be the third derivative of -f**5/20 - 17*f**4/24 + 17*f**3/6 + 2*f**2. Determine 17*c(l) - 6*w(l). l**2 Let o(t) = 21*t**2 + 10*t - 16. Let g(n) = 4*n**2 + 2*n - 3. Let k be 2/(-1 - 0 - 0). Let q be (10/(-15))/(8/(-132)). Give k*o(f) + q*g(f). 2*f**2 + 2*f - 1 Let t(p) = p**3 + p. Let f(k) = k**3. Suppose 3 - 21 = 6*h. Determine h*f(l) + 4*t(l). l**3 + 4*l Let i(s) = s**3 - s + 1. Let u(o) = 14*o + 13. Let w(f) = 3*f + 3. Let d(t) = -2*u(t) + 9*w(t). Calculate -2*d(z) + 2*i(z). 2*z**3 Let g(b) = -8*b. Let i be g(1). Let k(a) = -a**3 - 7*a**2 + 8*a - 3. Let w be k(i). Let f(q) = -1. Let p = 0 - 1. Let z(n) = -n + 3. Determine p*z(m) + w*f(m). m Let a(k) = k**3 + k. Let l(b) = -18*b**3 - 9*b. Give 18*a(d) + 2*l(d). -18*d**3 Let h(z) = 2*z + 2. Let v(j) = 1. Give h(o) + 2*v(o). 2*o + 4 Suppose 2*c - 3*c = 6. Let q(y) = -y**3 - y**2 + y - 1. Let a(g) = 7*g**2 + 6 - 6*g + 0*g - g**2 + 4*g**3. What is c*q(z) - a(z)? 2*z**3 Let j(d) = -2*d**2 - 4*d + 4. Let w(v) = 4*v**2 + 9*v - 7. Determine 7*j(k) + 4*w(k). 2*k**2 + 8*k Let o(r) = r**3 + 3*r. Let t(p) = 2*p**3 + 3*p. Determine -3*o(f) + 4*t(f). 5*f**3 + 3*f Let a(n) = 5*n + 1. Let i(d) be the second derivative of 2*d**3/3 + 4*d. What is -2*a(z) + 3*i(z)? 2*z - 2 Let o(y) = 3*y. Let b(m) = -4*m. Let w(a) = a**3 - 4*a**2 - 2. Let s be w(4). Let j = 1 - s. Calculate j*o(c) + 2*b(c). c Let y(b) = -3*b**3 - 4*b**2 - 3*b + 2. Let d(f) = -6*f**3 - 8*f**2 - 5*f + 3. Calculate -3*d(p) + 5*y(p). 3*p**3 + 4*p**2 + 1 Let x(t) = -t - 3. Suppose -5*b - 5*i - 30 = 0, 3*i + 16 = 2*b + 3. Let s(u) = -1. Calculate b*x(v) + 2*s(v). v + 1 Let q(w) be the second derivative of -5*w**4/12 - w**3/6 + w. Suppose -3*d = 3*i - 18, 2*d + 20 = 5*i - 3*d. Let m(t) = 6*t**2 + t. Determine i*q(z) + 4*m(z). -z**2 - z Let b(z) = 13*z**3 + 7*z**2 + 13. Let y(o) = 4*o**3 + 2*o**2 + 4. What is 4*b(k) - 14*y(k)? -4*k**3 - 4 Let r(m) = -3*m**3 + m**2 - m. Let y(w) = 0*w**3 + 3*w**2 + w**3 - 2*w**2. Let b be ((-4)/6)/(12/18). What is b*y(c) - r(c)? 2*c**3 - 2*c**2 + c Suppose -2*a = -4*a + 2*i + 14, 2*a = 3*i + 12. Let b(y) = 13*y + 1. Let p(h) = -3*h. Calculate a*p(w) + 2*b(w). -w + 2 Let p(x) = -3*x**2 + 11*x + 1. Let b(k) = -2*k**2 + 6*k + 1. Let i(c) = -5*b(c) + 2*p(c). Let q(d) = 5*d**2 - 9*d - 3. What is 7*i(y) - 6*q(y)? -2*y**2 - 2*y - 3 Let u(r) = 84*r - 119. Let s(f) = -7*f + 10. Let t(q) = -35*s(q) - 3*u(q). Suppose 1 = 3*o - 8. Let p(x) = o + x - 2*x - 2. Calculate -6*p(h) + t(h). -h + 1 Let r(k) = -9*k + 6. Let m(i) = i + 1. What is -12*m(y) - r(y)? -3*y - 18 Suppose 4*t - 6*t + 6 = 0. Let b = 5 - t. Let q(h) = -2*h + 4. Let y(c) = 0 + 0*c + 4*c + 2 - 5*c. What is b*q(r) - 5*y(r)? r - 2 Let l(z) = -14*z + 14*z - 3*z**2. Let g be (-1 - 0)/(2/(-12)). Let n(v) = 3*v**2. Calculate g*n(h) + 5*l(h). 3*h**2 Let p(x) = 5*x**3 + x**2 + 2*x - 4. Let f(y) = 6*y**3 + y**2 + 3*y - 5. What is 4*f(l) - 5*p(l)? -l**3 - l**2 + 2*l Let r(j) = -8*j**2 - 9*j**2 + 7*j**2 - 6*j + 10. Let d(q) = 3*q**2 + 2*q - 3. Determine 16*d(c) + 5*r(c). -2*c**2 + 2*c + 2 Let c(m) = -7*m + 6. Suppose -7*r = -2*r - 25. Let v(q) = 6*q - 5. Determine r*c(i) + 6*v(i). i Let u(g) = -39*g**2 + 3*g - 3. Let y(p) = 40*p**2 - 4*p + 4. Give 4*u(h) + 3*y(h). -36*h**2 Let l(w) = -4*w + 3
{ "pile_set_name": "DM Mathematics" }
t m be x(-10). Solve -m*d = 5*u - 10, 0*d + g*u = -4*d + 10 for d. 0 Suppose 4*l - 10*l + 138 = 0. Suppose -7 = 8*x - l. Solve 5*d - o = -x - 5, 2*d - o = -4 for d. -1 Let g = -47 + -6. Let q = g - -67. Solve 2 - q = 2*u + 5*d, 2*u + 3*d + 4 = 0 for u. 4 Suppose 15*t = -0 - 0. Suppose 4*c - 13 = -s, 0 = s - c - t - 3. Solve 0*x - 4*x - 16 = l, -5*x - s = 5*l for l. 4 Let u = -39 + 95. Suppose 7*b - j = 12*b + 256, -2*j + 8 = 0. Let q = u + b. Solve 4 = 4*m + q*y, -3*y = m - 1 - 4 for m. -1 Suppose 5*b + 5*a - 92 = a, -2*b = -5*a - 50. Let s be (2/10 + 16/b)*-8. Let f(g) = g + 11. Let o be f(s). Solve -10 = -d + o*q, 0*d = d + 2*q for d. 4 Let b = 13407 - 13402. Solve b*p + 5*l - 84 = -44, 4*l = -p + 23 for p. 3 Let z = -145 - -147. Suppose -2*y + z = 2*n, y - 2 = 2*y + 4*n. Solve -q = 3*i - 4, 4*q - i = y*i + 1 for q. 1 Suppose -31*y - 52 = -57*y. Let d(b) = b**2 + 4*b - 1. Let m be d(-6). Let z = 16 - m. Solve -3*n + y*t = 2, -2*t = -z*t - 15 for n. -4 Let s = -57 - -193. Let b be -4*((-5764)/16)/(-11). Let d = s + b. Solve -o + d = 5*z + 3*o, 0 = -o - 5 for z. 5 Suppose 59 = -p - 5*r - 84, -p - 143 = 2*r. Let j = p + 145. Solve -l - 5 = -f, j*f - 8 = -0*f for l. -1 Let b(d) = 40*d + 1242. Let w be b(-31). Solve p - w*i = 0, 0*p = -2*p - 2*i for p. 0 Suppose 0 = w + 2*g - 6, 4*w + 0*g - 15 = g. Suppose 0 = -w*y - u + 3, 0 = -3*y + 5*u - 3 - 12. Solve -4*f - 20 = -4*t, -3*t - 4*f + 15 = -y*t for t. 5 Let j(q) = -q**2 + 48*q - 487. Let p be j(33). Solve -2*f - 13*s + 14*s - 11 = 0, 0 = -2*f - 2*s - p for f. -5 Suppose -1242*f + 66 = 1238*f - 2447*f. Let o = -13 + 28. Solve -2*c + f*j = -10, -2*c - 5*j = c - o for c. 5 Let v be (-1)/4 + 5481/174*(-1)/(-6). Solve 0 = -3*a - v*p, 0 = -15*a + 19*a + 5*p + 5 for a. -5 Let q(c) = -c**2 + 21. Let v = -20 + 24. Suppose -3*r = -3*n - 0 - 6, 3*r - 8 = v*n. Let w be q(r). Solve 0*s - 4*y = -3*s - 3, -3*y = 4*s - w for s. 3 Let y = -352 + 449. Let g = -95 + y. Solve -6*q - 22 = 5*w - 2*q, -5*w + g = -4*q for w. -2 Let n = 43 - 20. Suppose 0 = 10*h - n*h + 52. Suppose h = r + 2. Solve 3*t + a + 3 = -r*a, 3*t + 7 = -4*a for t. 3 Let u be 3/(3/4) - 362/362. Solve -5*m - 31 = -64*h + 60*h, u*h + 3*m = 3 for h. 4 Let x = -13526 - -13528. Solve x*y + 2 = -4*m, 7*y - 2*y - 3*m - 8 = 0 for y. 1 Suppose -2*m + 14 + 0 = -5*c, -5*m = 4*c - 2. Let b be m + 0/(-1)*1. Let h be ((-11577)/510)/(-227)*(35 - 5). Solve -2 - b = y + 5*t, -h*y = 3*t for y. 1 Let f(h) = -5*h**2 + 74*h - 228. Let m be f(5). Suppose -8 = -2*t + t. Suppose -3*c = -t*c + 30. Solve -5*g + 3*g + 4*v + c = 0, 0 = -5*g + 2*v - m for g. -5 Let x be (1 + (-21)/12)*-8. Suppose -10*a = -x*a. Suppose a*c = c - 4. Solve -c*f = -t - 12, -2*f + 2*t + 8 = 2*f for f. 4 Suppose -148*r + 48 = -124*r. Solve -13 = -r*k - w, 28*w = k + 26*w + 6 for k. 4 Let k = -307 - -410. Solve 4*b = -t - 90 + k, 3 = 2*b - 3*t for b. 3 Suppose 31 = 94*v - 91*v + 5*o, -4*o + 16 = -2*v. Suppose -5*m = 2*j - 43, -3*j - m + 45 = -0*j. Solve 4*z + j = -v*u, -5 + 0 = z - u for z. -4 Suppose -5*j - 5*d + 420 = 0, -3*j - 257 = -6*j - 2*d. Suppose 0 = -5*x + j - 74. Solve 3*h + 0*o - 30 = -3*o, x*o = -h + 20 for h. 5 Suppose 4*v = -3*w + 2*v - 18, 5*w - v = -30. Let r(j) = 28*j + 169. Let c be r(w). Suppose m = -m. Solve m*g + c = 5*s - 3*g, -2*g = 4 for s. -1 Suppose -355 + 360 = i. Suppose -4*h + m + 48 = 15, i*m = 2*h - 21. Solve 0*l + 3*r + 8 = -l, -2*l - h = -2*r for l. -5 Let t = -111 + -7. Let c = t + 123. Suppose -4*n + 4*g - 16 = 0, -3*n - 5*g - 4 = -24. Solve n = -2*z - c*j - 22, -4*j - 18 = 2*z - 0*j for z. -1 Suppose 5*b + 0*b + 15 = 0, 3*d + 3*b + 3 = 0. Suppose 1 = -3*g + r + 13, -d*g - 5*r = -25. Solve -5*u = 5*y - 40, 2*u + 3*u - 10 = g*y for y. 3 Let u(d) = 4*d**2 + 2*d - d**3 + 7*d**2 + 13 + 4. Let x be u(11). Let t be (416/x)/(4/6). Solve -5*q + 12 = -3*i - 19, -2*i = 4*q - t for i. -2 Let s(d) = -6*d - 90. Suppose -70 = 3*g + 4*j, g - 2*j = -3 - 7. Let x be s(g). Solve o - x = 6*a - 11*a, -2*o = a for o. -2 Suppose 1276 = 87*g + 493. Solve -4*b + g = -3*x - 14, 0 = 5*b - 5*x - 35 for b. 2 Let p = 53 + -34. Suppose 2*n - 2*f - 20 = -6, -p = -3*n + 2*f. Let i = -20 + 22. Solve -3*w - i = 4*h - w, -5*w = -n*h + 20 for h. 1 Let g be (-276)/(-345) - (-8)/(-10). Solve d + z + 3 - 4 = g, z = -4*d + 4 for d. 1 Let s = -16554 - -16559. Solve 0 = 3*t - 2*t + j - 1, 2*t - s*j - 2 = 0 for t. 1 Let x(t) = -2*t - 2 - 2*t**3 + 4*t**3 + 6*t**2 - t**3 - 3 - t**2. Suppose -10 = -0*f + 2*f. Let i be x(f). Solve 2*p + 3*p = -i*j + 30, 4*p - 27 = -5*j for p. 3 Let v(h) be the first derivative of -27*h**4/4 - 3*h**2/2 - 4*h + 63. Let g be v(-1). Solve 4*b + r = -1, -2*b + 5*r + g = -b for b. 1 Let s = -6532 - -6532. Solve -1 - 1 = q, s = -i + 5*q + 15 for i. 5 Let g(c) = -2*c**3 - 26*c**2 - 5*c - 63. Let d be g(-13). Solve 7 - 9 = d*m, -3*j - 17 = 5*m for j. -4 Let o(p) = p**2 - 3*p - 70. Let g be (-48)/60 - (72/10 - 1). Let y be o(g). Solve 4*n - 2*n - 5*u - 4 = y, 0 = -4*n + 5*u - 2 for n. -3 Let m be (18/(-144))/((-4)/64). Solve -5*s + o = -5 + 31, 2*o - 12 = m*s for s. -5 Let c be ((-79)/(-11) - 2) + 20/(-110). Suppose 47 = c*p - 18. Solve 0*r + 4 = -r, 0 = -j - 3*r - p for j. -1 Let j be (-2)/(-4) - (-3 + 292/(-8)). Suppose -48 = -5*v - a + 4, -5*v + 5*a + j = 0. Solve -2*f + 5 = -t - f, 0 = -5*f + v for t. -3 Suppose -27*q + 164 = 14*q. Solve -3*k = 2*l + 4, -q*k + l = 9 + 11 for k. -4 Let b = -3425 - -3429. Solve 4*t = b*d - 12, 3*t + 3 = -2*t - d for t. -1 Suppose 18*i + 9*i = -29 + 164. Solve 6*t + 0*t + 4*h = 6, i*h = -4*t + 11 for t. -1 Suppose 3*o = -2*v + 4, -3*o + 5*v = o - 36. Let u be o/(-1) - (-36 + 30). Solve 4*m = -4*c - 20, u*c = 5*m - 3*c - 25 for m. 0 Let j(q) = q**3 - 32*q**2 + 33*q - 60. Let i be j(31). Solve 4*k = -l - 7, -i*k + 5*k + 15 = -4*l for l. -3 Suppose 28*y - 10 - 33 = 41. Solve -2*j + 1 = -2*t - 1, y*j = 15 for t. 4 Let u(t) = -3*t + 54. Let o be u(16). Suppose -11*z + o*z - 24 = -2*l, -4*l - 2*z = 0. Solve -10 = -l*j + 3*b, 4*j + b + 3 = 9 for j. 2 Suppose -2*n = 5*j + 583, -n = -0*n + 3*j + 294. Let m = n - -284. Solve 0*o - o - 4 = -4*g, m*o + 2*g = 2 for o. 0 Let r be 156/42 - 2/(-7). Suppose 3*p + r*s = -8, 0*s + 4*s + 8 = 0. Solve 0 = -c - 3*z + 1, 3*c + p*c + 3*z - 9 = 0 for c. 4 Let q(l) = -l + 3. Let c be q(-3). Let g be ((3 - 11) + c)*-1. Solve f - 2*f = g, 22 = 5*r - f for r. 4 Suppose -6 = -u + b, -4*u + 21 = -b - 0. Let a be (-2)/u - (-224)/(-40). Let g be a/27 - 94/(-18). Solve r + 7 = -o, -12 = 2*r + g*o + 11 for r. -4 Let u be (3408/(-32))/((-6)/4). Let f be u/7 - 4/28. Solve 6*q - 2*q = 3*o - f, 3*q + 5*o = -22 for q. -4 Let t be (5/10)/((-710)/160*2 + 9). Solve o - 20 = t*m, 5 = 4*o + 2*m - 3*m for o. 0 Let m = 55 - 46. Let o be (-18)/(-4)*(30/m - 4). Let g be (17/51)/((-1)/o). Solve -x - g = -0*x - a, -3*a + 23 = 2*x for x. 4 Suppose -1232 = -265*l - 43*l. Solve 30 = n - 5*u, 11 = -3*u - l for n. 5 Let y be (-16)/40 - (-168)/20. Suppose -3*z + 6 = -d, -y = -4*z - 0*z + 4*d. Solve -6 = -3*l - 2*b + 9, -z*l + 18 = 4*b for l. 3 Suppose 0 = 4*z + 3*p - 7, 3*z - 4*p = p + 27. Let s(t) = -3*t**3 + 29*t**2 - 66*t + 3. Let w be s(6). Solve -2*u + 7 = w*u + z*f, -5*u + 4 = 3*f for u. -1 Let b(f) = 62*f + 7. Let c be b(2). Let d = c - 128. Solve 2*s - 7*s = -d*i + 11, -3*i - 9 = 0 for s. -4 Let s = -73 - -75. Suppose 5*u - 6 = -3*o, 0 = -u + 3*u + s*o. Solve 3*k + 19 = 5*r, -u*r + 1 + 4 = -5*k for r. 5 Let f(x) = x**2 - 6*x - 1. Let n be f(7). Suppose -4*z - 2*k + 48 = 0, -43*k = -2*z - 41*k + 36. Solve 0 = 2*h + 2*r - z, 2*h - r - r = n for h. 5 Let g = 34 - 30. Suppose 2*f - g = -0. Solve -2*u + 12 = 2*w + f*u, -3*u + 3 = 0 for w. 4 Let o(f) = f**2 + 7. Let v be o(1). Solve 2*i + 6*m - 3*m = -v, -m - 8 = -2*i for i. 2 Suppose 32 = -187*f + 195*f. Suppose 3*y + 7 = 3*d - 5, d = 4*y + 22. Let p be 1/2 - 93/y. Solve f*h + 8 = w, -3*h - 5 = 3*w + p for w. -4 Let r(a) = a**3 + 17*a**2 + 74*a + 33. Let x be r(-7). Solve -2*p - 28 = x*m - 6*p, -3*p = -5*m - 26 for m. -4 Let s(q) = 7*q**2 - 63*q + 364. Let v(f) = 11*f**2 - 95*f + 546. Let h(l) = 8*s(l) - 5*v(l). Let w be h(9). Solve 0 = 3*p, 3*p - 6 = -w*j - p for j. 3 Let i be ((-12)/(-14))/((-23)/(-161)) - 3/(-1). Solve 2*j + 8 = 0, n + 0*n = 2*j + i for n. 1 Suppose 4*j = 2*z - j - 75, -109 = -3*
{ "pile_set_name": "DM Mathematics" }
0 and 29/22? 11305910 What is the common denominator of 67/426 and -119/2472? 175512 Calculate the common denominator of -53/5355 and 17/75915. 1290555 What is the common denominator of 19/36 and -7/70614? 141228 Calculate the lowest common multiple of 933 and 4245. 1320195 What is the smallest common multiple of 105756 and 126? 317268 What is the smallest common multiple of 3094 and 504? 111384 Calculate the least common multiple of 10392 and 4920. 2130360 Calculate the smallest common multiple of 4464 and 12834. 102672 Calculate the smallest common multiple of 37687 and 11596. 150748 What is the least common multiple of 50634 and 2610? 253170 What is the smallest common multiple of 285970 and 7? 2001790 What is the lowest common multiple of 8 and 491804? 983608 What is the lowest common multiple of 16470 and 26352? 131760 Find the common denominator of -113/6 and -44/236295. 472590 Find the common denominator of 31/8 and 113/37788. 75576 Calculate the common denominator of 61/18326 and 65/27489. 54978 Find the common denominator of 145/60672 and 107/1536. 121344 Calculate the lowest common multiple of 65142 and 693. 65142 What is the common denominator of 95/394 and -35/324? 63828 Calculate the least common multiple of 333 and 63. 2331 Calculate the common denominator of 59/4 and -47/137677. 550708 What is the least common multiple of 8437 and 3068? 33748 Calculate the smallest common multiple of 2356 and 1292. 40052 Calculate the common denominator of -47/18 and 5/62396. 561564 Find the common denominator of -11/560 and 33/6860. 27440 What is the lowest common multiple of 14 and 162034? 1134238 What is the common denominator of -37/5970 and 81/88? 262680 Calculate the common denominator of 17/156 and 157/9906. 19812 Calculate the common denominator of 47/786 and 17/2751. 5502 Calculate the lowest common multiple of 73 and 97. 7081 Find the common denominator of 127/12012 and 109/168. 24024 Find the common denominator of 43/74 and -13/23440. 867280 What is the least common multiple of 129884 and 110? 7143620 What is the smallest common multiple of 1661 and 9966? 9966 What is the smallest common multiple of 289 and 25041? 425697 Calculate the smallest common multiple of 2292 and 22920. 22920 Find the common denominator of 75/4 and -21/502408. 502408 Calculate the common denominator of -73/15360 and 137/6144. 30720 What is the common denominator of 53/52 and -31/8008? 8008 Calculate the least common multiple of 1394 and 5151. 422382 Find the common denominator of -83/28 and 88/2355. 65940 Calculate the smallest common multiple of 96444 and 203040. 3857760 What is the smallest common multiple of 83524 and 12? 250572 Calculate the least common multiple of 16784 and 616. 1292368 Calculate the common denominator of 129/290 and -53/35670. 35670 Find the common denominator of 7/96 and -13/114. 1824 Find the common denominator of 59/17688 and -131/3618. 159192 Calculate the common denominator of 85/4108168 and -73/16. 8216336 Calculate the least common multiple of 679 and 2813. 19691 What is the least common multiple of 11781 and 63? 11781 What is the common denominator of -91/170874 and 65/12? 341748 Calculate the lowest common multiple of 109168 and 61407. 982512 What is the smallest common multiple of 18351 and 78? 477126 What is the smallest common multiple of 294 and 3675? 7350 Calculate the smallest common multiple of 20058 and 10029. 20058 What is the common denominator of 49/22842 and 49/27918? 251262 What is the lowest common multiple of 7 and 2127? 14889 Calculate the common denominator of 131/219984 and 73/73328. 219984 Find the common denominator of -11/23 and -59/22563. 22563 Calculate the least common multiple of 306 and 4398. 224298 Calculate the least common multiple of 793 and 103844. 6334484 What is the common denominator of -39/484 and -63/808? 97768 Find the common denominator of 145/612204 and 61/56. 8570856 Calculate the smallest common multiple of 22 and 387. 8514 What is the lowest common multiple of 260 and 17207? 4473820 Calculate the least common multiple of 175 and 6405. 32025 What is the common denominator of 71/106980 and -71/17830? 106980 Calculate the common denominator of -6/247345 and -46/52525. 13603975 What is the common denominator of -29/540 and -23/38895? 1400220 Calculate the common denominator of 151/475902 and 155/168. 1903608 What is the common denominator of 77/63801 and -53/150? 3190050 Calculate the least common multiple of 58 and 3059. 177422 Find the common denominator of 88/15 and 68/19083. 95415 Calculate the common denominator of 131/60 and 41/16312. 244680 Calculate the common denominator of -89/50076 and 53/3210. 250380 Calculate the least common multiple of 122 and 870. 53070 Calculate the common denominator of 43/113892 and 71/16. 455568 Calculate the smallest common multiple of 8 and 6888. 6888 What is the common denominator of 22/50481 and 32/355? 252405 What is the lowest common multiple of 19134 and 12? 38268 Calculate the smallest common multiple of 2260 and 868405. 3473620 What is the common denominator of 61/114576 and 35/88? 114576 Calculate the smallest common multiple of 443 and 1103. 488629 What is the smallest common multiple of 175902 and 175902? 175902 Find the common denominator of 29/396 and 19/97386. 6427476 Calculate the lowest common multiple of 19112 and 472. 1127608 Calculate the common denominator of 13/167925 and 58/123145. 1847175 What is the smallest common multiple of 5962 and 10840? 119240 Calculate the common denominator of 3/88 and -15/2332. 4664 Calculate the common denominator of 21/1660 and 49/12616. 63080 What is the smallest common multiple of 296385 and 69? 6816855 Calculate the lowest common multiple of 35350 and 40. 141400 Calculate the common denominator of -163/460152 and 29/616. 460152 Find the common denominator of -27/16 and 123/170. 1360 Calculate the lowest common multiple of 124 and 601106. 37268572 Calculate the lowest common multiple of 9630 and 12690. 1357830 Find the common denominator of 71/17664 and -61/1104. 17664 What is the smallest common multiple of 79465 and 62190? 1430370 What is the least common multiple of 96 and 227900? 5469600 Find the common denominator of 19/495 and -83/313380. 3447180 What is the smallest common multiple of 999 and 431346? 3882114 What is the lowest common multiple of 3038 and 868? 6076 Find the common denominator of 145/14136 and -55/868. 98952 Calculate the least common multiple of 62990 and 88186. 440930 Find the common denominator of -33/10 and 1/55300. 55300 What is the lowest common multiple of 21235 and 84940? 84940 Find the common denominator of -121/2720 and 111/364. 247520 Calculate the common denominator of -173/3840 and 109/1344. 26880 What is the least common multiple of 13290 and 21? 93030 Calculate the common denominator of -17/4382 and -5/13146. 13146 Find the common denominator of -121/18032 and 85/285936. 2001552 Find the common denominator of -151/3570 and 43/189. 32130 What is the lowest common multiple of 40752 and 108672? 326016 What is the smallest common multiple of 364 and 44128? 573664 What is the smallest common multiple of 41 and 614? 25174 Calculate the lowest common multiple of 17376 and 8. 17376 Calculate the least common multiple of 6783 and 37145. 780045 Calculate the common denominator of 48/1991 and 49/450147. 4951617 Calculate the common denominator of 27/1204 and 121/229190. 3208660 What is the common denominator of -29/180 and 179/88560? 88560 What is the common denominator of 15/16 and 169/97104? 97104 Calculate the least common multiple of 309 and 405. 41715 What is the common denominator of 5/896298 and 95/24? 3585192 Find the common denominator of -109/952 and -55/49. 6664 What is the least common multiple of 110 and 3520? 3520 Calculate the least common multiple of 1375 and 10. 2750 Calculate the common denominator of 36/275 and 81/110. 550 Calculate the lowest common multiple of 191450 and 218800. 1531600 Calculate the smallest common multiple of 995 and 2516. 2503420 What is the lowest common multiple of 9 and 424427? 3819843 What is the common denominator of 1/32850 and 26/5175? 755550 Calculate the lowest common multiple of 50215 and 242. 100430 Find the common den
{ "pile_set_name": "DM Mathematics" }
ivative of -21*w**4 - 3*w**2 + w**3 + 129*w - 70*w - 77*w wrt w. -504*w + 6 Suppose 23 + 61 = 6*n. Find the second derivative of -n*v + 4*v + 39*v**5 - 41*v**5 wrt v. -40*v**3 Let h(p) = -3*p**2 - p - 1. Let i(m) = -193*m**2 - 2*m + 88. Let n(x) = 2*h(x) - i(x). Find the first derivative of n(a) wrt a. 374*a Suppose 0 = -7*y + 35. What is the second derivative of 19*l + 40*l**y - 2*l**5 + 6*l wrt l? 760*l**3 What is the third derivative of 4*q**2 + 19*q**3 - 3 + 24 + 89*q**3 - 29*q**3 - 7*q**2 wrt q? 474 Let o(u) be the third derivative of -5*u**8/24 + u**5/60 + u**4/6 + 3*u**2 - 19. Find the third derivative of o(s) wrt s. -4200*s**2 Let k = -76 - -111. What is the first derivative of k + b**2 + 0*b**2 - 41 wrt b? 2*b What is the third derivative of -2780 + 15*k**2 + 372*k**4 + 1390 + 517*k**4 - 10*k + 1390 wrt k? 21336*k Let v(s) = 2457*s**2 + 422*s + 34. Let j(r) = -819*r**2 - 141*r - 12. Let h(x) = -17*j(x) - 6*v(x). What is the second derivative of h(p) wrt p? -1638 Let u(r) be the second derivative of 67*r**5/10 + 95*r**2/2 - 5*r + 2. What is the first derivative of u(o) wrt o? 402*o**2 Let o(x) be the third derivative of -x**8/336 - 2*x**5/15 - 4*x**4/3 + x**3/2 + 75*x**2 + x. What is the second derivative of o(t) wrt t? -20*t**3 - 16 Let f(h) be the second derivative of 0*h**5 + 0*h**2 + 3/7*h**7 + 0 + 0*h**6 + 0*h**4 - 13*h - 2*h**3. What is the second derivative of f(u) wrt u? 360*u**3 Let w(f) be the third derivative of 31*f**4/4 + 37*f**3/2 + 13*f**2 + 8. Differentiate w(c) wrt c. 186 Suppose 3*u - 138 = 33. What is the third derivative of -57 + u + 26*m**2 - 4*m**3 wrt m? -24 Let q(o) be the second derivative of 59*o**4/12 - 358*o**2 - 23*o - 9. What is the derivative of q(s) wrt s? 118*s Let f = 0 + 0. Let c be -1*(f + -1 + -2). Find the second derivative of 0 + c*t + 5 + 5*t**2 - 5 wrt t. 10 Suppose q = -2*z + 5 + 1, -z = 5*q + 15. Suppose t = 4*n - 3, -t - z = n - 6*n. What is the derivative of 0*o**2 - n - 2*o + 2*o**2 + 2*o wrt o? 4*o Let z be (2/8)/(5/40). Let b(o) be the first derivative of -2*o**4 + o + 26 - z*o**2 - o - 22. What is the second derivative of b(w) wrt w? -48*w Let n(w) be the first derivative of w**3/3 + 8*w**2 - 15*w - 4. Let b be n(-17). Find the first derivative of b*o**4 + 1 - o**4 + 3*o**4 wrt o. 16*o**3 Let x = 0 + -2. Let f be (-5 - x)*(-8)/6. Find the third derivative of -6*m**2 + f*m**2 + 2*m**6 - 8*m**6 wrt m. -720*m**3 Let o(r) = -r. Let m be o(-3). Let s(z) = -z + 22. Let x be s(22). Differentiate -8*q**m - 10 + 0*q + x*q + 3 with respect to q. -24*q**2 Let c(a) be the first derivative of -9*a**2/2 + 8*a + 7. Let z(t) = -7 + 5 + 4*t - 2. Let v(g) = -3*c(g) - 7*z(g). Differentiate v(o) with respect to o. -1 Suppose 4*x - 11 - 5 = 0. Let c be (-102)/34 - (-2 - 1). What is the third derivative of -b**x + 4*b + 4*b**2 + c*b - 4*b wrt b? -24*b Let d = -59 + 63. What is the derivative of -2 + 35*l**4 + 46*l**d - 75*l**4 wrt l? 24*l**3 Let b(i) = 8*i**3 - 6*i**2 - 11*i. Let x(m) = -2 + m**3 - 17*m - m**2 + 2 + 16*m. Let g(w) = b(w) - 6*x(w). What is the second derivative of g(h) wrt h? 12*h Let o(b) be the second derivative of -65*b**7/42 - b**3/6 - 4*b**2 - 4*b + 13. What is the second derivative of o(g) wrt g? -1300*g**3 Let h(u) = -38*u**2 + 191*u - 17. Let k(p) = 13*p**2 - 64*p + 6. Let x(m) = -6*h(m) - 17*k(m). What is the second derivative of x(a) wrt a? 14 What is the third derivative of -3*y**3 - 5*y**3 + 19*y**3 - 3*y**4 + 50*y**2 - 8*y**3 wrt y? -72*y + 18 Let v(d) be the first derivative of 402*d**5/5 + 9*d**2/2 + 2*d + 230. What is the second derivative of v(q) wrt q? 4824*q**2 Let b(q) be the third derivative of 211*q**6/120 + 133*q**5/60 + 12*q**2 - 6*q. Find the third derivative of b(i) wrt i. 1266 Let u(f) = -f + 3. Let x(g) = -18*g - 43. Let a(w) = -3*u(w) + x(w). What is the first derivative of a(r) wrt r? -15 Let a be 69/276 + 10/(-8)*-1. Let m(j) be the second derivative of a*j**2 + 0 + 0*j**4 - 6*j + 0*j**3 + 1/4*j**5. Differentiate m(s) with respect to s. 15*s**2 What is the second derivative of t**3 + 15*t + 3*t**2 + t**3 + 84*t - 4*t - 10*t**2 wrt t? 12*t - 14 Find the third derivative of 0 + 0 - 29*w**3 + 1026*w**2 - 11*w**4 + 28*w**3 + w**4 wrt w. -240*w - 6 Let s(z) be the second derivative of 296*z**6/15 - 204*z**2 + 359*z. What is the derivative of s(f) wrt f? 2368*f**3 Let s(i) be the second derivative of 17*i**7/6 - i**4/4 + 323*i**3/6 + 427*i. What is the second derivative of s(p) wrt p? 2380*p**3 - 6 Let q(w) be the first derivative of 33*w**7/7 - 2*w**5/5 + 36*w**3 + w**2/2 + 172. What is the third derivative of q(z) wrt z? 3960*z**3 - 48*z What is the first derivative of 29*l**4 + 52 + 22*l**4 + 68 wrt l? 204*l**3 Let t be 2 - (-2 - (1 + -1)). What is the derivative of -15*c + 3*c - 7 - t*c + c wrt c? -15 Let u(y) be the third derivative of -65*y**4/24 - 43*y**3/3 + 26*y**2 - y. Find the first derivative of u(b) wrt b. -65 Suppose 7 = 4*m + 51. Let v = -7 - m. Differentiate 2 + 5*a**2 + v - 1 wrt a. 10*a Let s(d) = -9*d + 8. Let k = -21 - -24. Let f(q) = k + 2 - 12*q + 2*q + 3. Let x(z) = 6*f(z) - 7*s(z). What is the derivative of x(n) wrt n? 3 Let d(u) be the first derivative of -168*u**5/5 + 541*u + 727. Differentiate d(i) wrt i. -672*i**3 Let s(r) = 1. Let x(u) = 7*u**2 - 11*u. Let q(k) = -3*s(k) + x(k). Let c(j) be the first derivative of q(j). Find the first derivative of c(y) wrt y. 14 Let h(r) = -80*r - 44. Let o(g) = -g + 6. Let p(n) = -h(n) + 4*o(n). What is the derivative of p(i) wrt i? 76 Let p(j) = 35*j + 277. Let h(m) = -53*m - 415. Let v(d) = 5*h(d) + 7*p(d). What is the derivative of v(w) wrt w? -20 Find the third derivative of -3 - 26*z**2 + 840*z**4 + 108*z**2 - 229*z**4 + 23*z**2 - 9*z**2 wrt z. 14664*z Let v(i) be the first derivative of -63*i**2 - 89*i + 151. Differentiate v(j) wrt j. -126 Let g(z) be the third derivative of 41*z**6/15 + z**5/30 - 67*z**4/8 - 388*z**2. What is the second derivative of g(a) wrt a? 1968*a + 4 Differentiate -80*q - 24*q - 88*q + 32 + 51 wrt q. -192 Let f = 383 + -381. Let c(j) be the second derivative of 0 + 5/2*j**f - 4*j - 1/6*j**3. What is the first derivative of c(o) wrt o? -1 Suppose -43 + 111 = 4*i. Suppose 5*g = -2*o + o - i, g + 4 = 0. Find the second derivative of j**o - 3*j - j**3 + 0*j + 3*j**5 wrt j. 60*j**3 Let x(k) be the first derivative of 17*k**5/5 + 5*k**4/4 - 769*k**3/3 - 848. Find the third derivative of x(i) wrt i. 408*i + 30 Let d = 51 + -46. Find the second derivative of 30*p + 2*p**5 - 20*p - 3*p**d wrt p. -20*p**3 Let b(n) be the third derivative of -n**8/336 - 121*n**5/60 - 3*n**4/8 + n**3/3 - 43*n**2 - 3*n. Find the second derivative of b(l) wrt l. -20*l**3 - 242 Let w(k) be the first derivative of -1/5*k**5 - 24 + 12*k**3 + 0*k**4 + 0*k**2 + 0*k. What is the third derivative of w(l) wrt l? -24*l Let r(g) = g + 13. Let m be r(-8). Suppose -3*y + 1 = -m. Differentiate -1 - 4 - y*z**3 + 6 + 4 with respect to z. -6*z**2 Let c(i) be the second derivative of -i**6/30 - 3*i**5/5 - 19*i**4/4 + i + 63. Find the third derivative of c(l) wrt l. -24*l - 72 Let u(t) = 194*t + 214. Let q(n) = 65*n + 71. Let m(s) = -11*q(s) + 4*u(s). Differentiate m(p) wrt p. 61 Let f(m) be the third derivative of 67*m**6/60 + 2*m**5/15 - 13*m**2 - 2*m. What is the third derivative of f(u) wrt u? 804 Let a be -12*(27/12)/(-3). Find the first derivative of -a + 5*q**4 - 14*q**4 + 3*q**4 wrt q. -24*q**3 Let c be -7*(-3 + 4)*-3. Let t be (-54)/(-21) - (-9)/c. Differentiate 0*a**3 - a**3 + 3 + t wrt a. -3*a**2 Find the third derivative of -8*z**4 - 10*z**4 + 68*z**3 - 12*z**4 + 33*z**4 + 80*z**2 wrt z. 72*z + 408 Let m(n) = 30*n**4 + 270*n**3 + 300. Let u(s) = -s**3 - 1. Let i(j) = 2*m(j) + 540*u(j). Differentiate i(o) with respect to o. 240*o**3 Let u be 2 + 4 + (-28)/2. Let f = u - -10. Find the first derivative of 9*n**3 + 83*n**2 - 83*n**f + 13 wrt n. 27*n**2 Let z(n) = -2*n - n + 5*n - 5*n. Let m be z(-1). What is the second derivative of 0*c + m*c - 51 + 3*c**5 + 51 wrt c? 60*c**3 Let i(b) be the first derivative of -b**7/105 + b**6/60 - 17*b**3/3 + 17. Let z(x) be the third derivative of i(x). What is the third derivative of z(t) wrt t? -48 Let q(z) be the second derivative of z**7/15 + z**4/2 - 5*z**2/2 - 3*z. Let
{ "pile_set_name": "DM Mathematics" }
+ 4*q. Let a(y) = 6*y**3 - 5*y**2 - 5*y. Suppose -11*x = 27 + 28. Let m = -10 - -6. Determine m*a(t) + x*p(t). t**3 Let u(t) = -t**2 - t - 1. Let d(a) = 10*a**2 + 10*a + 2. Let q(x) = d(x) + 6*u(x). Let y(z) = 4*z**2 + 5*z - 5. What is 5*q(n) - 4*y(n)? 4*n**2 Suppose -3*f = 30 - 3. Let c(y) = 3*y**3 + 2*y**2 - 2. Let h(q) = 13*q**3 + 9*q**2 - q - 9. Let o be (-3*1/(-3))/((-18)/(-36)). Give f*c(l) + o*h(l). -l**3 - 2*l Let j(v) = 5*v + 3. Let m(f) be the third derivative of -f**4/4 - 2*f**3/3 - 11*f**2. Calculate 5*j(d) + 4*m(d). d - 1 Let x(n) = -7*n**3 - 4*n**2 - 6*n + 2. Let g(d) = -15*d**3 - 9*d**2 - 13*d + 3. What is -6*g(a) + 13*x(a)? -a**3 + 2*a**2 + 8 Let f(w) = 7*w**3 - 5*w**2 - 5*w + 8. Let m be (0 + -3)*8/(-24). Let i(z) = -z**3 + z**2 + z - 1. Give m*f(q) + 5*i(q). 2*q**3 + 3 Let a(k) = -6*k**2 + 5 - 5*k**3 - k - 6*k**2 + k**3 + 6*k**2. Let g(j) = 2 - 3*j**3 + 0*j**3 - 5*j**2 + 2 - j. Let q = 14 - 20. What is q*g(r) + 5*a(r)? -2*r**3 + r + 1 Let u(w) = -4*w + 4. Let l(m) = 3*m - 3. Give 5*l(y) + 4*u(y). -y + 1 Let w(a) = -a**3 - a**2 - a - 1. Let q(s) = -4*s**3 - 4*s**2 - 5*s - 6. Let f be 6/4*(-8)/(-12). Calculate f*q(j) - 6*w(j). 2*j**3 + 2*j**2 + j Let q(y) = -2*y**2 + 6*y - 11. Let k(r) = -r**2 + r - 1. What is 4*k(v) - q(v)? -2*v**2 - 2*v + 7 Let o(b) = -3*b**2 - 2*b - 7. Let h(c) be the first derivative of -4/3*c**3 - 3/2*c**2 - 1 - 10*c. Suppose -5*q + 0*q = -25. Determine q*h(v) - 7*o(v). v**2 - v - 1 Let t(w) = -5*w + 3. Let r(o) = -9*o + 5. Let g(m) = -6*r(m) + 11*t(m). Let s(c) = c - 2. Calculate 3*g(b) + 4*s(b). b + 1 Let q(c) = -11*c**3 + 5*c**2. Suppose -26*p = -30*p + 8. Let r(l) = p*l**3 - l + 2*l**2 - 6*l**3 + l. Give -3*q(v) + 8*r(v). v**3 + v**2 Let d(m) be the third derivative of m**4/6 + 4*m**3/3 + m**2. Let l(a) = 9*a + 17. Suppose 3 + 11 = 2*y. Suppose -4*s + y = 31. Calculate s*l(g) + 13*d(g). -2*g + 2 Let x(d) = -4*d + 4*d + 8 + 5*d. Let p(b) = -63 + 66 + b + b. Let f(h) = -h**2 - 8*h - 4. Let n be f(-7). Calculate n*x(k) - 8*p(k). -k Let r(h) = -4*h**2 + 7*h - 13. Let t(p) = 2*p**2 - 3*p + 6. What is 4*r(q) + 10*t(q)? 4*q**2 - 2*q + 8 Let t(q) = -3*q**3 + 2*q**2 - 4*q - 2. Let m(i) = 3*i**3 - 3*i**2 + 4*i + 3. Calculate -2*m(d) - 3*t(d). 3*d**3 + 4*d Let i(j) = -j**3 - 5*j**2 - 5*j - 10. Let m be i(-4). Let u(c) = c**2 + 5*c. Let d(n) = n**2 + 6*n. Give m*u(z) + 5*d(z). -z**2 Let v(t) = 15*t**3 - t**2 + 5*t. Let l(b) = 8*b**3 + 2*b. Calculate -5*l(p) + 2*v(p). -10*p**3 - 2*p**2 Let n(o) = o - 1. Let u(p) be the third derivative of p**4/4 - p**3/2 - 4*p**2. Let x be (3 + -6)*2/6. Calculate x*u(b) + 4*n(b). -2*b - 1 Let u(x) = -11*x**2 + 2*x + 2. Let b(t) = -111*t**2 + 21*t + 21. Calculate -4*b(c) + 42*u(c). -18*c**2 Suppose 0*a + 3 = 3*a. Let k(d) = -1. Let o(j) = 1. Let z(h) = -5*k(h) - 6*o(h). Let n(i) be the first derivative of -i**2 - 2*i + 1. What is a*n(s) - 2*z(s)? -2*s Let t = -5 + 0. Suppose -24 = -0*z - 4*z. Let x(r) = 3*r - 2. Let i(b) = 4*b - 2. Give t*i(l) + z*x(l). -2*l - 2 Let w(r) = -2*r**2 - 21. Let u(p) = -3*p**2 - 41. Give 3*u(y) - 5*w(y). y**2 - 18 Let t = 5 - 0. Let p(l) = -6*l**2 + 2*l - 6 - 6*l + 3 - 2*l**3 - t. Let w(a) = a**2 + a + 1. Determine -p(g) - 6*w(g). 2*g**3 - 2*g + 2 Let g(i) = -2*i - 4. Let s(c) = -5*c - 12. What is -8*g(q) + 3*s(q)? q - 4 Let t(u) = 2*u**3 + 4*u**2 - 6*u + 5. Let s(d) = -d**3 - d**2 - d - 1. Give 5*s(l) + t(l). -3*l**3 - l**2 - 11*l Let c be 4/(-3 - 10/(-2)). Let r(v) = -5 - c + 4*v + 3 - 7. Let f(x) = -2*x + 5. Calculate -13*f(u) - 6*r(u). 2*u + 1 Let k(l) = 9*l - 6. Let q(p) = -14*p + 9. Calculate 8*k(h) + 5*q(h). 2*h - 3 Let c(p) = 6*p**2 + 2*p - 9. Let w(i) = i - 1. Let t(f) = c(f) - 6*w(f). Let z(u) = -u**2 + u + 1. Suppose -3 + 1 = -2*x. What is x*t(k) + 4*z(k)? 2*k**2 + 1 Let m(b) = -5*b**3 - b**2 - 3. Let c(j) = 9*j**3 + 2*j**2 + 5. Let x(f) = 3*f**2 + 4*f - 1. Let r be x(-3). Suppose 2*k = 4 - r. Determine k*m(d) - 3*c(d). -2*d**3 - d**2 Let l(n) = n**3 + 2*n**2 + 2*n + 8. Let h(t) = -2*t**3 - 3*t**2 - 3*t - 9. What is 2*h(w) + 3*l(w)? -w**3 + 6 Let q(u) = -7*u**3 + 49*u**2 - 7*u. Let b(j) = -11*j**3 + 73*j**2 - 11*j. What is 5*b(d) - 8*q(d)? d**3 - 27*d**2 + d Let c(x) = 167*x**2 + 177*x**2 + x**3 - 340*x**2. Let m(u) = -u**3 - u**2. Determine c(t) + 4*m(t). -3*t**3 Let v(x) = -2*x**3 + 2*x**2 + 2*x. Let n(g) = -2*g**3 + 3*g**2 + 3*g. Suppose -3*j = 2*j + k + 15, 18 = -4*j - 2*k. Give j*n(l) + 3*v(l). -2*l**3 Let m(j) = -j + 7. Let u(f) = -f + 6. Let g(w) = -5*w**2 - w - 1. Let r be g(-1). Calculate r*u(p) + 4*m(p). p - 2 Let m(n) = -n + 1. Let d(v) = -6. Let p(r) = 1. Let f(a) = -d(a) - 3*p(a). Give -f(q) + 3*m(q). -3*q Let k(f) = f**3 - f**2 + 0*f**3 + 29*f + 1 - 28*f. Let s(a) = -2*a**2 + a + 2. What is -2*k(u) + s(u)? -2*u**3 - u Let q(m) = -m**2 + m - 1. Let c(z) = -5*z**2 + z - 3. Give c(r) - 2*q(r). -3*r**2 - r - 1 Let r be (-11)/(3/15*5). Let x(c) = 5*c**3 + 11*c**2 + c - 15. Let s(k) = -k**3 - 2*k**2 + 3. Determine r*s(w) - 2*x(w). w**3 - 2*w - 3 Let x(u) = -31*u + 3. Let n(c) = 280*c - 28. Give -3*n(w) - 28*x(w). 28*w Let l(q) be the first derivative of -1 + 2*q + 5*q**2 + 0 - 4*q**2. Let k(r) = r**2 - 23*r + 105. Let i be k(17). Let g(t) = -3*t - 3. Give i*g(o) + 5*l(o). o + 1 Let l be (-238)/21 + 1/3. Let w be l - (-1 - (2 - 1)). Let r be 6/8 - w/4. Let f(c) = 2*c**2 + 3*c - 3. Let v(h) = -3*h**2 - 4*h + 4. Determine r*v(d) + 4*f(d). -d**2 Let i(p) = -p - 8. Let l(w) = 2*w + 15. Calculate -7*i(y) - 4*l(y). -y - 4 Let l(i) = 1. Let n(a) = -a**2 - 10. Determine l(o) + n(o). -o**2 - 9 Let k = 10 + -4. Let r(i) = 2*i**3 + 6*i**2 - 5*i + 6. Let g(s) = -2*s**3 - 5*s**2 + 4*s - 5. Give k*g(f) + 5*r(f). -2*f**3 - f Let m(h) = h**2 + 4*h + 42. Let j(f) = 3*f**2 + 11*f + 125. Determine -4*j(o) + 11*m(o). -o**2 - 38 Let x(v) = v + 1. Let a(d) = -4*d + 5. Determine -a(o) - 6*x(o). -2*o - 11 Let u(m) = -2*m**3 - m**2 + 8*m. Let s(d) = d**3 - 3*d. Determine -8*s(b) - 3*u(b). -2*b**3 + 3*b**2 Let q(h) = 3*h - 2. Let z(u) = -u + 1. Calculate -3*q(t) - 6*z(t). -3*t Let d(s) = s**3 + 3*s**2 + 2*s + 1. Let x be 4*(0 + 1/(-2)). Let b be d(x). Let k(g) = g + 1 - b. Let o(i) = i - 1. Give -3*k(l) + 2*o(l). -l - 2 Let x(u) be the second derivative of -7*u**5/20 - u**4/6 + 9*u**2/2 + 23*u - 2. Let j(m) = -4*m**3 - m**2 + 5. What is -5*j(o) + 3*x(o)? -o**3 - o**2 + 2 Let a(q) = 2*q**2 - 7*q. Let j(x) = -1 + x - x + x. Let i(h) = a(h) + 2*j(h). Let b(r) = -3*r**2 + 9*r + 3. Calculate -3*b(u) - 5*i(u). -u**2 - 2*u + 1 Let v(g) = -23*g - 7. Let h(n) = -23*n - 6. Calculate 7*h(s) - 6*v(s). -23*s Let j(r) = r**2 + r. Let n(a) = -12*a**2 - 18*a. Determine -18*j(d) - n(d). -6*d**2 Let u(l) = -4*l**3 - 13*l**2 - 21*l - 2. Let o(h) be the third derivative of h**6/60 + h**5/10 + 5*h**4/12 + h**3/6 + 12*h**2 - 2. What is -13*o(d) - 6*u(d)? -2*d**3 - 4*d - 1 Let v(y) = -2*y**3 - 2*y**2 - 4*y + 3. Let p(g) = g**2 + 1. Let u be p(2). Let h(x) = -2*x**3 - 3*x**2 - 5*x + 4. Calculate u*v(z) - 4*h(z). -2*z**3 + 2*z**2 - 1 Let u(z) = z**3 - 5*z**2 + 4*z - 2. Let b be u(2). Let a(l) = -20*l - 17. Let y(f) = -6*f - 6. Let i(s) = -s. Let r(c) = i(c) + y(c). What is b*a(j) + 17*r(j)? j Let x = -2 + 5. Suppose -6 = -3*z + x. Let q(l) = -8 + 8*l**3 + 5 - z + 6*l**2. Let t(h) = 7*h**3 + 5*h**2 - 5. Give 5*q(m) - 6*t(m). -2*m**3 Suppose c - 5*j + 8 = 0, -c + j = -0*j - 4. Let n(g) = 13*g - 10. Let a(v) = -4*v + 3. Determine c*a(l) + 2*n(l). -2*l + 1 Let n(i) = 3*i**2 - 2*i + 1. Let q(r) = 15*r**2 - 11*r + 4. Let c(t) = 11*n(t) - 2*q(t). Let w(z) = -3*z**2 - 4. Calculate 4*c(u) + 3*w(u). 3*u**2 Let j(u) = 2*u + 14. Suppose 0*o - 2*o = -8. Suppose n - o = 3*n. Let d be n*(1 + (-6)/(-2)). Let h(k) = -k - 9. Determine d*h(c) - 5*j(c). -2*c + 2 Let b(m) = 7*m**2 + 7*m + 6. Let n(l) = 13*l - 7 + 12 + 6 + 13*l**2. Suppose -2*f = -5*f + 18. Calculate f*n(h) - 11*b(h). h**2 + h Let x(l) = -8*l + 7. Let f(t) = -8*t + 5. Let r(z) = -5*f(z) + 4*x(z). Let k(m) = -3*m - 1. Suppose -4 = -2*h + 18. What is h*k(j) + 4*r(j)? -j + 1 Let z = 9 - 13. Let p(w) = -2 + 4 - 23*w - 32*w + 49*w. Let c(h) = -9*h + 2 + 1 - 2*h. Give z*c(i) + 7*p(i). 2*i + 2 Let t(m) = 2*m + 4. Let w(v) = -31 + 3*v + 26 - 5*v. Let l = 6 + -3. Determine l*w(h) + 4*t(h). 2*h + 1 Let n(l) = -29*l + 10. Let j(y) = 15*y - 5. Supp
{ "pile_set_name": "DM Mathematics" }
= -o**3 + o**2 + 1. Give v*n(j) - b(j). 2*j**3 + 2*j**2 Let r(n) = 4*n - 7. Let d(g) = -2*g + 3. Suppose 0 = -2*p - 0*p. Suppose p = 2*c + 3*c - 45. Calculate c*d(s) + 4*r(s). -2*s - 1 Let f be -1 + 0 - (1 + 1). Let y(s) = -26*s**2 - 26. Suppose 2*c + 16 = -4*x, 5*x - 12 = 8. Let p(a) = 5*a**2 + 5. What is c*p(h) + f*y(h)? -2*h**2 - 2 Let a(k) = -k**2 - k + 4. Let o(z) = -z**2 + z - 1. Give -a(q) - 2*o(q). 3*q**2 - q - 2 Let s(l) = 7*l + 4. Let m(i) = -6*i - 3. Let z be 3 + -5 + 0 + 6. Give z*m(x) + 3*s(x). -3*x Let h(j) = -8*j**3 - 2*j. Let t(q) = 33*q**3 + 7*q. Give 9*h(a) + 2*t(a). -6*a**3 - 4*a Let n = 10 + -7. Let p(s) = -s**2 - s + 1. Let h(v) be the third derivative of v**5/12 + v**4/6 - v**3/2 + 3*v**2. Calculate n*p(g) + h(g). 2*g**2 + g Let a = 6 - 3. Let d be 11 + -13 + a*-1. Let n(s) = s + 2. Let t(u) be the second derivative of u**3/6 + u**2 + u. Calculate d*n(k) + 4*t(k). -k - 2 Let l be ((-7)/21)/((-3)/18*-1). Let a(r) = -4*r - 3. Let q(j) = j + 1. Calculate l*a(z) - 7*q(z). z - 1 Let u(a) = -2*a**3 - 2*a**2 + 11*a + 2. Suppose 2*o + 3*b - 6 = 0, 4*o - 4*b + 9*b - 14 = 0. Let i(m) = -m**3 - m**2 + 6*m + 1. Determine o*u(h) - 11*i(h). -h**3 - h**2 + 1 Let t(h) = -5*h - 1. Let v(r) = r. Calculate -t(k) - 6*v(k). -k + 1 Suppose -o + 5*o + 28 = 0. Let m(r) be the first derivative of 7*r**4/4 + r + 2. Let b = -26 + 21. Let h(w) = -10*w**3 - 1. Give b*h(d) + o*m(d). d**3 - 2 Let m(d) = -2*d. Let z(w) = 2*w. Let q(r) = 3*r. Let x = -3 - 1. Let s(b) = x*q(b) + 7*z(b). Calculate -3*m(c) - 2*s(c). 2*c Let g(b) = 12*b**2 - 2*b. Let r(l) = -12*l**2 + 3*l. Calculate -3*g(u) - 2*r(u). -12*u**2 Let u(l) = -8*l**2 - 5*l + 2. Let w(b) = 17*b**2 + 11*b - 4. Give -9*u(o) - 4*w(o). 4*o**2 + o - 2 Let p(f) = -5*f - 1. Let h = 3 - -3. Suppose 0 = -3*t + 4*t - 7. Let v(x) = -2 + 6*x + 2 + 1. What is h*v(w) + t*p(w)? w - 1 Suppose -4*f + 6 = -30. Let g(q) = 8 - 7 + 6 - 7*q. Let t(p) = 3*p - 3. Give f*t(j) + 4*g(j). -j + 1 Let c(i) = -i - 1. Let m(f) = 2*f + 3. Let r(h) = -3*c(h) - m(h). Let q(d) = 4*d - 2. Calculate -q(a) + 6*r(a). 2*a + 2 Suppose 2*j + 2*j = 3*s - 6, -3*s + 2*j = -6. Let p(y) = -y**3 - 2*y. Let r(l) = -4*l**3 - 9*l. Give s*r(x) - 9*p(x). x**3 Let d(l) = -9*l + 15*l - 2*l**2 + 0*l**2 + l + 4*l**3. Let y(h) = h**3 + h. Give -d(f) + 6*y(f). 2*f**3 + 2*f**2 - f Let t(c) = -c + 8. Let i(g) = g + 7. Let x be (2 - 5)/3 + -1. Let a(v) = 3*v + 13. Let h(u) = x*a(u) + 5*i(u). What is 6*h(b) - 7*t(b)? b - 2 Let m(k) be the first derivative of -2 + 0*k + 5/2*k**2 + 2/3*k**3. Let j be 28/(-6)*(-6)/(-4). Let h(l) = 3*l**2 + 7*l. Give j*m(g) + 5*h(g). g**2 Let t(o) = -23*o - 9. Let x(m) = -11*m - 4. Determine 2*t(q) - 5*x(q). 9*q + 2 Let t(o) = o + 1. Let k(b) = -3*b - 1. Give -k(z) - 2*t(z). z - 1 Let y(n) = n + 7. Let b be y(-6). Let t(u) = u - 1 + b. Let z = 86 + -80. Let f(v) = -v. Determine z*t(m) + 5*f(m). m Let x(p) = 4*p**2 + 4. Let g(v) = -1. Determine -20*g(w) - 5*x(w). -20*w**2 Let c be 1*-2 + 5 - 1. Let j(b) = b**c + b**3 - b**2 - b - 1. Let h(y) = -7*y**3 + 6*y + 4. Let m(x) = 2*x - 7. Let o be m(4). What is o*h(z) + 6*j(z)? -z**3 - 2 Let u = 19 + -3. Suppose -u + 66 = -5*z. Let l(j) = -3*j + 7. Let w(c) = -2*c + 4. What is z*w(t) + 6*l(t)? 2*t + 2 Let s(z) = 4*z**3 - z**2 - z**2 + 4*z - 6*z. Let d(u) = -5*u**3 + 3*u**2 + 3*u. Let f be -6*-1*1/3. Determine f*d(c) + 3*s(c). 2*c**3 Let a(d) = -d**3 - 2*d + 1. Let i(b) = -b**3 + b**2 - b - 1. Calculate a(y) - 2*i(y). y**3 - 2*y**2 + 3 Let o(t) be the third derivative of 0*t - 1/3*t**3 + 0 + 4*t**2 - 1/24*t**4. Suppose 2*i - 3*i - 2 = 0. Let k(d) = -2*d - 3. Give i*k(y) + 3*o(y). y Let d(c) = 17*c**2 + 21*c + 11. Let z(l) = -6*l**2 - 7*l - 4. What is -4*d(x) - 11*z(x)? -2*x**2 - 7*x Let v(r) = r**2 + r. Let i(q) = -3*q**3 - 6*q**2 - 6*q. Calculate -i(w) - 6*v(w). 3*w**3 Let t(s) = -9*s**2 - 11*s + 11. Let w(i) = -5*i**2 - 6*i + 6. Suppose 4*g = -4 + 48. Determine g*w(h) - 6*t(h). -h**2 Suppose 4*i - 23 = -3*n + 13, 0 = 2*n - 8. Let m(a) = -4*a - 2. Let c(t) be the third derivative of 5*t**4/24 + t**3/3 + 20*t**2. Calculate i*m(x) + 5*c(x). x - 2 Let j(h) = -17*h**2 - 4*h - 7. Let i(a) = 8*a**2 + 2*a + 3. What is 7*i(f) + 3*j(f)? 5*f**2 + 2*f Let j(p) = 8*p**2 - 17*p + 3. Let q(k) = 4*k**2 - 9*k + 2. Give 6*j(i) - 11*q(i). 4*i**2 - 3*i - 4 Let v(f) = -7*f**2 - 2. Let w(h) = h**3 - 6*h**2 - 3. Calculate -3*v(d) + 2*w(d). 2*d**3 + 9*d**2 Let a(v) = -v**2 - 10*v + 1. Let f(h) be the third derivative of h**5/60 + 7*h**4/24 - h**3/6 - 11*h**2. Calculate -5*a(n) - 7*f(n). -2*n**2 + n + 2 Let t = -2 + -7. Let w(b) = 2*b**2 - 2*b - 1. Let o(q) = 10*q**2 + 7*q**2 + q**3 - 4 - 8*q - 8*q**2. Calculate t*w(v) + 2*o(v). 2*v**3 + 2*v + 1 Let n(z) = z + 1. Let x = -3 - -9. Let k be 28/x - 8/12. Let h(b) = -2 + 0*b + k*b - 4*b - 3*b. Determine -h(v) - 2*n(v). v Let d(v) = -v**2 + 3*v. Suppose -z = 2*k + 2*k + 4, -k + z = 6. Let f = 0 + k. Let r(p) = p - 1. Determine f*r(j) + d(j). -j**2 + j + 2 Let j(x) = 2*x**2 - 3. Let t(o) = 3*o**2 - 5. Suppose -2*w = -14 + 6. Suppose -w*k + 15 = 67. Let n = k - -10. Determine n*t(f) + 5*j(f). f**2 Let i(z) = 19*z**3 + 9*z**2 + 4*z - 12. Let f(n) = 9*n**3 + 4*n**2 + 2*n - 6. Give 9*f(k) - 4*i(k). 5*k**3 + 2*k - 6 Let b(h) = h - 9. Let t(j) = 5*j - 45. Determine -11*b(w) + 2*t(w). -w + 9 Let q(u) = 31*u**2 - 59*u - 5. Let d(y) = -6*y**2 + 12*y + 1. Give -11*d(l) - 2*q(l). 4*l**2 - 14*l - 1 Let g(c) = c**3 + 2*c**2. Let t(s) = -3*s**2 - 1. What is 3*g(f) + 2*t(f)? 3*f**3 - 2 Let z(r) = -6*r**2 + 6*r - 4. Let u(m) = -2*m**2 - 2*m**2 - 5 + 2 + 4*m. Suppose q = 5*q + 12, -5*f - 4*q = 47. What is f*u(h) + 5*z(h)? -2*h**2 + 2*h + 1 Let l(h) = -2*h + 3 + 0 - 4*h**2 + 4*h. Let m(w) = -w**2 - w - 1. Let a(s) = 2*s**2 + 5*s + 5. Let b(j) = -a(j) - 4*m(j). Calculate 5*b(r) + 2*l(r). 2*r**2 - r + 1 Let z(a) = 4*a**3 + 2*a**2 - 29*a + 2. Let f(o) = 9*o**3 + 5*o**2 - 57*o + 5. Determine -2*f(h) + 5*z(h). 2*h**3 - 31*h Let g(k) = 4*k**3 + k + 2. Let n(a) be the third derivative of a**6/120 + a**4/24 + a**3/6 - 8*a**2. What is -g(f) + 2*n(f)? -2*f**3 + f Let d(k) = 85*k**2 - 4. Let q(u) = 18954*u**2 - 891. Give 891*d(c) - 4*q(c). -81*c**2 Let y(w) = w - 2. Let g(z) = 4. What is -2*g(b) - 4*y(b)? -4*b Let n(j) = -142 + 142 + 16*j**3 + 21*j + 17*j**3. Let c(a) = 8*a**3 + 5*a. Give 21*c(x) - 5*n(x). 3*x**3 Let f(j) = -4*j**2 - 8*j - 14. Let g be 1*((-2)/4 - (-35)/10). Let b(m) = -m**2 - 3*m - 5. Determine g*f(u) - 8*b(u). -4*u**2 - 2 Let h(t) = -125*t**2. Let u(b) = 9*b**2. Give -4*h(l) - 55*u(l). 5*l**2 Let z(q) = -6*q - 5. Let r(a) = -4 - a + 0 + 0*a + 3. Give 4*r(d) - z(d). 2*d + 1 Let y(f) = 5*f**2 + 6*f + 3. Let n(i) = -i - 1. Let c(w) = -3*n(w) - y(w). Suppose 4*d - 21 = -5. Let g(u) = 6*u**2 + 4*u. What is d*c(l) + 3*g(l)? -2*l**2 Let y(c) = -5*c**2 + 2*c. Let x(k) = 5*k**2 - k. Give 2*x(b) + 3*y(b). -5*b**2 + 4*b Let o(z) = 18*z + 5. Let r(s) = -s - 1. Determine o(p) + 5*r(p). 13*p Let d(y) be the first derivative of 3*y**2/2 + 3*y + 1. Let f(b) = -4*b - 4. Let m(z) = -2*z**3 - 2*z**2 + 2*z. Let k be m(-2). Determine k*f(c) + 5*d(c). -c - 1 Let w(t) = t**3 - t**2 + 1. Suppose -k + 7 - 3 = 0. Let l(p) = -2*p**3 + 4*p**2 - p - 4. What is k*w(n) + l(n)? 2*n**3 - n Suppose -2*l + 0*l = -o + 17, 4*o - 26 = 2*l. Let p(n) = -2*n + 9. Let m(x) = 2*x - 8. Suppose 2*i = -i + y - 17, -2*i - 9 = -3*y. What is i*p(h) + l*m(h)? -2*h + 2 Let q(d) be the first derivative of -5*d**4/4 + 4*d**3/3 - 4*d + 2. Let m be (-2)/6 - 52/(-12). Let k(w) = w**3 - w**2 + 1. Calculate m*k(r) + q(r). -r**3 Let l(h) = h**2. Let a(q) = -14*q**2 - 2*q - 1. Calculate -a(r) - 5*l(r). 9*r**2 + 2*r + 1 Suppose 4*j = 3*y + 7, 2*y = 4*y - 6. Let d(u) = 3*u**2 - 5*u + 5. Let t(z) = -4*z**2 + 6*z - 6. Suppose -g = k - 2*k + 6, 2*k - 7 = -3*g. Give j*t(r) + k*d(r). -r**2 - r + 1 Let f(q) = q**3 - 3*q**2 - 3*q + 3. Let y(j) = -5*j**3 + 17*j**2 + 17*j - 17. Give 34*f(z) + 6*y(z). 4*z**3 Let w(c) = 41*c**3 - 4*c**2. Let l(i) = -21*i**3 + 2*i**2. Calculate 5*l(d) + 2*w(d). -23*d**3 + 2*d**2 Suppose -3*v + 20 = 2*v. Let g(r) = 3*r. Let z(n) = -n + 7. Let c(b) = -2. Let i(f) = -7*c(f) - 2*z(f). Suppose -10 + 25 = -5*k. Determine k*g(u) + v*i(u). -u Let v(l) = -2*l + 2. Let b = -2 - -3. Let y be (1/(-3))/(1/(-3)). Let u(s) = s.
{ "pile_set_name": "DM Mathematics" }
(-30))? 8 Suppose v + 3 = -2*m, -4*m + m - 15 = 0. What is the units digit of v? 7 Let o be -15*3*(-1)/(-9). Let m = o + 2. Let w = m - -6. What is the units digit of w? 3 Let o = -88 + 210. What is the tens digit of o? 2 Let z(x) = -x**3 - 16*x**2 - 18*x + 9. What is the units digit of z(-15)? 4 What is the units digit of (24/(-20))/((-21)/980)? 6 Let k = 162 + -58. What is the units digit of k? 4 Let r(b) = b**3 - 6*b**2 + 5*b + 2. Let f be r(5). Suppose -f*s = -5*s - 9, -2*v - 5*s = -15. What is the tens digit of v? 1 What is the units digit of (-1)/(-5) - ((-192)/10)/4? 5 Let b(o) = 12*o**2 + 3*o + 2. Let l(v) = -v**2 - v. Let t(w) = b(w) + 6*l(w). What is the units digit of t(2)? 0 Let v(s) = -s + 2. Let l be v(-3). Suppose l*z + 7 = 22. What is the units digit of z? 3 Suppose 3*l = 7*h - 2*h + 70, -3*l - 4*h = -25. Suppose -17*r + l*r + 66 = 0. What is the tens digit of r? 3 Let x(a) = 3*a**3 + a**2 + a. Suppose 0 = z - 3*z - 2. Let c be x(z). What is the units digit of (-1)/(-3)*(c - -12)? 3 Suppose 0 = -2*n - 2*z - 4, -5 = -5*n + 4*z + 12. Let s be (n - 1 - -1)*5. Suppose u = 4*u + 3*r - 15, -4*u - s*r + 22 = 0. What is the units digit of u? 3 Let o(t) = t**3 - 11*t**2 + 3. Let m be o(11). Suppose m*n = 3*x - 90, 5*n - 25 = x - 3*x. What is the units digit of x? 5 Let z(m) be the second derivative of m**5/20 + m**4/12 - 3*m**2/2 + 2*m. Let a be z(0). Let c = 9 - a. What is the units digit of c? 2 Let i(m) = 2*m + 3. Let w be i(-4). Let y = -4 - w. What is the units digit of -2 - -2*4 - y? 5 Let g = 11 - 8. Suppose s + 2 = g*s. What is the units digit of s? 1 Let g(m) = m**3 - 12*m**2 + 3*m - 12. Let f be g(12). Let t be -1 - -2 - 4 - 2. Let a = f + t. What is the tens digit of a? 1 Suppose -2*y + 2 = 0, 0 = -3*p - 2*y + 7 + 13. Suppose -p*j = -j + 15. Let t = j - -4. What is the units digit of t? 1 Let r(h) = -h + 38. What is the tens digit of r(14)? 2 Suppose m = 5 - 0. Suppose 3*x + 6 = 0, m*u + 61 - 211 = 5*x. What is the tens digit of u? 2 What is the units digit of (3/3)/(3/225) + 2? 7 Suppose 0 = -5*y + 4*y + 70. What is the units digit of y? 0 Suppose -5*q - 6 = -3*d, 4 = 2*d - 2*q - 0*q. Suppose -n + d*n = 5. What is the units digit of n? 5 Let j(b) = b**3 - 5*b**2 - 7*b + 9. Let m be j(6). Let l be (-2)/3*-29 + (-12)/(-18). Suppose -d + l = m*d. What is the units digit of d? 5 Suppose 9 = 2*h - 5*h, -5*o + 3*h = -84. Suppose o = 4*l + l. Suppose -16 = f - l*f. What is the units digit of f? 8 Let i(s) = 4*s. Suppose -4 = h - 2*h. What is the units digit of i(h)? 6 Suppose 4*r = 2*r + 6. Let z(k) = 3*k**2 - 5*k + 2. What is the units digit of z(r)? 4 Let m(u) = -14*u**3 + u. What is the units digit of m(-1)? 3 Suppose 3*m = 8*m. Let a = m - -14. What is the units digit of a? 4 Let x(o) = -o**2 + 6*o - 4. Let y be x(3). Let z = y + -6. What is the units digit of 7 + (0 + -1 - z)? 7 Let c = 52 - -314. What is the hundreds digit of c? 3 Let l(a) = -44*a - 2. What is the units digit of l(-4)? 4 What is the units digit of ((-9)/5)/(8/(-80))? 8 Let z(h) = -3*h**2 + 19*h - 4. Let p(t) = -2*t**2 + 13*t - 3. Let d(g) = 2*g - 7. Let m be d(6). Let w(x) = m*z(x) - 7*p(x). What is the units digit of w(4)? 1 Suppose 504 = 6*v - 78. What is the tens digit of v? 9 Suppose 0 = -2*j + 5*b - 6 + 65, 142 = 4*j - 2*b. Suppose -5*h - 13 = j. What is the units digit of 1/5 + (-8)/h? 1 Let x(s) = -s + 12. Let b be x(8). Let w be 17 - b - (0 - -1). Suppose 2*k = -4 + w. What is the units digit of k? 4 Suppose 0 = -3*n + 32 + 16. What is the tens digit of n? 1 Let j = 54 + -25. What is the units digit of j? 9 Let p(z) = 2*z - 12. Let y be -1 - -2 - (-18)/6. Let s be y/(1/(-2)*-1). What is the units digit of p(s)? 4 Suppose 4*w = -0*w + 20. Suppose w*r - 65 = -0*r. What is the tens digit of r? 1 Suppose -5*q + 298 = -67. What is the tens digit of q? 7 Suppose 6*g - 126 = 3*g. What is the units digit of g? 2 Let z(o) = -74*o + 23. What is the tens digit of z(-3)? 4 Suppose 0 = 3*o + 2*o + 435. What is the tens digit of o*(-3)/(-18)*-2? 2 Suppose -3*h - 13 = -94. What is the tens digit of h? 2 Suppose -i = 4*m + 4*i + 64, 43 = -5*m + 3*i. Let z = m - -26. What is the units digit of z? 5 Let u = 3 + 0. Suppose 168 = u*r - q + 4*q, -2*q = 5*r - 292. Suppose 4*w + w = r. What is the tens digit of w? 1 Let g(d) = d**3 + 11*d**2 + 13*d - 9. What is the tens digit of g(-6)? 9 What is the units digit of 2 + (0 - 0) + 13? 5 Let o(i) = 2*i**2 + 2*i - 1. Let q = 7 + -10. What is the units digit of o(q)? 1 Let q(l) = 21*l**2 + 10*l - 4. What is the units digit of q(4)? 2 Let p(o) = -5*o - 1. Let q be p(-1). Suppose 0 = -5*m + q*f + 9, -2*m + 11 + 19 = 5*f. Suppose -3*b + 35 - m = 0. What is the tens digit of b? 1 Let h(x) = -x**3 - 27*x**2 + 16*x - 15. What is the hundreds digit of h(-28)? 3 Suppose -4*u = -0*u - 80. What is the tens digit of u? 2 Let f be (-9*1)/1 + 1. What is the tens digit of 48/(-9)*18/f? 1 Suppose 2*c - 4*c = -4. Let z be (-1 + c - 0)*5. Suppose -v = -z*t + 4*v - 5, -2 = 5*t - 4*v. What is the units digit of t? 2 Let d = -112 + 79. Let b = 53 + d. What is the tens digit of b? 2 Let j be 3/2*(-1 - -3). Suppose -s + 2*q = j, 0*q + 9 = 3*q. Suppose s*l + 5 = -v + 2, 0 = -4*v - 3*l + 6. What is the units digit of v? 3 Let p(d) = d**2 + d - 4. Suppose 0 = -q + 2*c + 3, q + 2*c = -0*q - 9. Let i be p(q). Let m(v) = v**3 - 2*v**2 + 2*v + 1. What is the units digit of m(i)? 5 Let p(a) = -a**3 + 6*a**2 - 7*a + 6. Let h be (-1 - -4) + (2 - 1). What is the units digit of p(h)? 0 Let x(c) = -c**3 - 8*c**2 - 10*c - 4. Let n be (30/9)/(2/(-6)). Let l = 3 + n. What is the units digit of x(l)? 7 Let q be (1 + 0)/(3/21). Suppose -2*d + 5*v - 10 = 0, -4*d + q*d + 10 = 5*v. Suppose -3*c + z + 26 = d, -60 - 2 = -5*c - 3*z. What is the units digit of c? 0 Suppose -a + 5*a = -5*o + 32, 0 = -5*o - 3*a + 29. Suppose -w + 25 = o*w. Suppose w*v - 45 = -0*v. What is the units digit of v? 9 Suppose h + 4*s = -14, 0*h = -3*h - s - 20. What is the units digit of h*(-1)/4*12? 8 What is the tens digit of 35 - (2 + (-3 - -2))? 3 Let a(u) = -u**3 - 15*u**2 - 10*u - 19. What is the hundreds digit of a(-15)? 1 Suppose -4*x - 17 = 19. What is the tens digit of 6/(-27) - 92/x? 1 Let v(n) = -n**2 - 2*n + 12. Let r = 16 - 16. What is the units digit of v(r)? 2 Let d = -17 - -10. Let t(f) = -f**2 - 7*f + 8. What is the units digit of t(d)? 8 Suppose -5*l - 124 - 196 = 0. Let x = -40 - l. What is the tens digit of x? 2 Suppose 4*q - 5*z - 60 = 0, 3*q - 1 - 37 = 2*z. Let h = q - 2. What is the units digit of h? 8 Let p(m) = -m**2 - 9*m + 4. Let s(t) = t + 1. Let i be s(-8). What is the tens digit of p(i)? 1 Let g(v) = -5*v - 2. What is the units digit of g(-11)? 3 Let g(t) = t**3 + 5*t**2 + 3*t. Let x be g(-2). What is the tens digit of (-51)/x*(4 + -6)? 1 Let u(r) = 13*r**3 - 2*r + 1. Let t(g) = -2*g**3 - 1. Let x be t(-1). Let q be u(x). Suppose 4*y - q = d, -d + 2 = -2. What is the units digit of y? 4 Suppose -3*p - u + 16 = -0*u, 16 = p + 3*u. What is the units digit of p? 4 Suppose 0 = y - 5*y + 40. Suppose 0 = v + v + y. What is the units digit of (-2)/v - (-16)/10? 2 Suppose -2*y = -3*d + 170, -18 - 37 = -d - y. What is the tens digit of d? 5 Let m be (36/8)/((-1)/(-2)). What is the units digit of (8/(-12))/((-2)/m)? 3 Let c(x) = -15*x - 3. What is the units digit of c(-3)? 2 Suppose -3*y + a = 54, 0 = -3*y - 0*y + 4*a - 63. Let m = -8 - y. What is the units digit of m? 9 Suppose 0*a - 4*a = -12. What is the tens digit of a*(-26)/(-6) - 1? 1 Let r be -6*(-3)/(-8)*4. Suppose 3*h - 2*t = -7*t + 35, 5*t - 25 = -h. Let y = h - r. What is the tens digit of y? 1 Let p = -110 - -24. Let v = -47 - p. What is the tens digit of v? 3 Suppose 2 = w - 3. Let j = w - -5. What is the tens digit of j? 1 Let x(n) = -5*n + 16. What is the units digit of x(-10)? 6 Let j(w) = w**2 + w + 4. Let y be j(-3). Suppose y = k - 4*i, 0*i - 31 = -k - 3*i. Suppose -t - k = -3*s - s, -2*s - 5*t = 0. What is the units digit of s? 5 Let k(j) = -4*j**2 + 2*j + 2. Let b(i) = -5 + 5 - i. Let n(w) = -4*b(w) - k(w). What is the tens digit of n(-2)? 1 Suppose 2*m = 5*l + 153, -l = -2*m + 2*l + 143. What is the tens digit of m? 6 Let p(x) be the first derivative of -x**4/4 + x**3 + 3*x**2/2 + 4*x - 2. Let k be p(4)
{ "pile_set_name": "DM Mathematics" }
t x be ((-2)/(-5))/(f/(-20)). Which is the biggest value? (a) x (b) l (c) 0.3 b Let b = 9.65 + -0.65. Let d = b - 9.6. What is the biggest value in -0.3, 2, -5, d? 2 Let b = -37.5 + 37.8. What is the third biggest value in 3, -0.4, -14, b? -0.4 Let z = -3 - -2.9. Let f = -6732 - -6735. Which is the third biggest value? (a) -5 (b) z (c) f a Let y = 0 + 3. Let s = 0.344 - 0.424. What is the third biggest value in s, -2/11, y? -2/11 Let u = 429 - 428.836. What is the third biggest value in -1/5, u, 2/5? -1/5 Let p = -22.8 - -27. Let n = 3.9 - p. Let g be -1 + 1 + (5 - 2). Which is the second smallest value? (a) n (b) 0.03 (c) g b Let f = 24.8 + -25. Let y be ((-10)/25 + (-19)/(-10))/4. Which is the second smallest value? (a) f (b) -1/4 (c) -4 (d) y b Let z = 219.9 + -260. Let y = z - -40. What is the second smallest value in 7, y, -5, -1/7? -1/7 Let v = -3283/39 - -253/3. Let p = -0.1 + -0.1. Which is the second smallest value? (a) v (b) p (c) -5/4 b Let y = -18.6 - -18.3. What is the smallest value in 0, -3, y, 18? -3 Let m = -19 + 16. Let l = 0.292 + 27.408. Let n = 28 - l. Which is the biggest value? (a) m (b) 2.2 (c) n b Let n = 0.03 - -0.07. Let f = -0.1 + n. Let k = 0.078 - -0.322. Which is the second biggest value? (a) -0.5 (b) k (c) f c Let w(u) = -u**3 + 6*u + 2. Let g be w(-3). Let v = -28 + 12. Let d = v + g. Which is the third biggest value? (a) d (b) -2/13 (c) 7 a Suppose 5*n - 37 = 8. Let h(a) = -2*a**2 - a**2 + n + 4*a**2 + 13*a. Let s be h(-12). What is the smallest value in 3, s, -4? -4 Suppose 10*x - 343 + 313 = 0. Which is the third biggest value? (a) 32 (b) x (c) 2/3 c Let t = 0.3 - 0.6. Let i = -3.52 + 3.12. Which is the biggest value? (a) t (b) i (c) 1 (d) -1/4 c Let p = -0.95 + -1.57. Let s = 0.52 + p. Which is the third biggest value? (a) 1 (b) s (c) -5 (d) 3 b Let u = -9 - -16. Let b = u + -12. Let p = -56 + 55.6. What is the third smallest value in -1, b, p? p Let r = -1405 + 1404.5. Which is the fourth biggest value? (a) -1/6 (b) -4 (c) r (d) -6 d Let y = -0.9 - 0.3. Let r = -1.2 - y. Let m = -2 - -2.5. What is the third smallest value in 6, r, m? 6 Let q be (3/(-1 - 0))/1. Let g be (-1 + 1 - q) + -3. Which is the second biggest value? (a) g (b) 2 (c) -1 a Let p = -1.8 - -2.1. Let o = -14 + 19. Which is the smallest value? (a) o (b) -0.3 (c) p (d) 1 b Let o = -64.615 + 0.015. Let v = o + 65. What is the fourth smallest value in v, 0, -4, 3? 3 Let p = 494 - 491. Which is the second biggest value? (a) 5/4 (b) p (c) 8/3 c Let g = 1249/4 - 314. What is the third smallest value in 2, 5/3, g? 2 Suppose -41*w + w - 59*w + 1485 = 0. Let u = 0.2 - 0.3. What is the third biggest value in 3/5, w, -3, u? u Let o = -322 + 322. What is the smallest value in 2/3, 1/6, o, 7? o Let i = 21.2 + -21.7. Which is the third smallest value? (a) i (b) -4 (c) -3.4 a Let w = 554 - 4433/8. What is the smallest value in w, 1, -14? -14 Let t(p) = p**3 + 9*p**2 + 17*p + 75. Let q be t(-8). Let f be (-1)/((1 - 0)*-1). Which is the third smallest value? (a) 0.4 (b) f (c) q c Let c = -128 - -128.4. What is the fourth smallest value in c, 3, 4, -0.5? 4 Let u = -106 - -101. Which is the third smallest value? (a) -0.11 (b) -6/7 (c) u a Let u = -10 + 5. Let s = -1325 - -1329. Which is the third smallest value? (a) 0.5 (b) u (c) s c Let g = 147.1 + -146.6. What is the second biggest value in g, 0, -2/105? 0 Let i = -729/7490 + -2/749. Which is the third biggest value? (a) -3 (b) 0.3 (c) 1/5 (d) i d Let m = 899 + -901. What is the fourth smallest value in m, 4, -0.5, -3/8? 4 Suppose 18*z - 3 = 15*z + 5*v, -3 = -v. Suppose 2 = 2*u + 10. Let i be (-40)/42 - u/z. What is the smallest value in -2, i, 0.09? -2 Let m be 4/(-10) - 143/(-330)*-6. What is the biggest value in 1, -1, -2, m? 1 Let s = 566.1 - 566. What is the second biggest value in s, -5, 2/11? s Let a = 15/2 - 49/6. Let n = 4.6 - 4.7. What is the biggest value in n, a, 2/5? 2/5 Let l = 2 + -1.7. Let f = -141 + 210. Let v = 68.7 - f. Which is the biggest value? (a) 0.2 (b) l (c) v b Let g be 3*4/(-168)*-268. Let m = g + -1488/77. Which is the smallest value? (a) 3 (b) -3 (c) m (d) -6 d Let o = -0.181 - -2.181. Which is the smallest value? (a) -0.4 (b) -1.7 (c) 0 (d) o b Let w = -1/200 + -119/200. What is the fourth smallest value in -6, 2, -0.2, w? 2 Let k be (4 - 10/15)/(330/(-45) - -8). Let s = -0.4 - -0.7. Which is the third smallest value? (a) -2/11 (b) s (c) 3 (d) k c Let m be 1/(-3) - 1/(-9). Let k = -4.693 - -4.593. Which is the smallest value? (a) 0.2 (b) k (c) m c Suppose 3*z + 3*n = z, 3 = z + 3*n. Let p = 7 + z. Let w be p/(-10) - (-17)/5. What is the smallest value in 1, 0.4, w? 0.4 Let m be (-6)/(-10)*(-20)/(-60). Suppose 3*p + 35 = -5*g, -g + 2*g + p + 9 = 0. Let f = -6 - g. What is the smallest value in m, f, 2/5? f Let z = 4.7 - -0.3. Let l = z + -6. Which is the third biggest value? (a) -5 (b) 0.3 (c) l a Let p = 93 + -62. Let b = p - 34. What is the fourth biggest value in 4, b, -5, 1/7? -5 Let w = -183.2 + 183. Which is the third biggest value? (a) w (b) -7 (c) 8 b Let g = -0.9 + 0.4. Suppose y + 9 = 11. Suppose y*j + 3*w + 4 = w, j - w = 2. Which is the second biggest value? (a) j (b) 5 (c) g a Let l = 30 - 125. Let q = 94.27 + l. Let w = q - 0.27. Which is the third smallest value? (a) -2/9 (b) w (c) 5 c Let i be (-1)/(18/4 - -2). Let u = -268.3 - -270.3. What is the third smallest value in i, 0, u, -2? 0 Let l be (2/5)/(11 - (-168)/(-16)). What is the second smallest value in -4, -1/4, l, -46/5? -4 Let j = 544/942975 - -10/4191. Which is the second biggest value? (a) -3 (b) j (c) 0.4 b Let r = 0.1 + 0.9. Let m = r - 6. Let u = -1329 + 1335. What is the third smallest value in -4, u, m? u Let o be ((-6)/12)/(-1) - 445/10. What is the third biggest value in 2/5, -0.4, 3, o? -0.4 Let g = -739 + 787. What is the biggest value in 0.4, g, 3? g Suppose 50*y + 228 = 38*y. Which is the second smallest value? (a) y (b) 3 (c) -3 c Let p = 684/5 - 137. What is the second biggest value in 3/4, 0, p? 0 Let r = 572/3 + -190. Which is the second biggest value? (a) 4 (b) -18/13 (c) r c Let p be -4*-6*(-4)/(-64). Let h = 1.2 + 0.5. Let z = 3.7 - h. Which is the smallest value? (a) p (b) z (c) 0.1 c Suppose -390 = 6*s - 360. What is the second biggest value in s, -1/6, 20.4? -1/6 Let x = 4 + -4.4. Let u = x + -0.1. Let w = -22872 + 160108/7. Which is the smallest value? (a) 5 (b) u (c) w b Let d = 96 - 96.9. Which is the second biggest value? (a) -3 (b) 0.7 (c) d c Let s(p) = -p**2 - p - 1. Let k be s(-2). Let g be ((-2)/(-4))/(k/54). Let n be 3/(-9)*g/21. What is the smallest value in n, -3, 2? -3 Let t = 16.7 + -0.7. Let w = -3.71 - -1.71. Which is the third smallest value? (a) -0.4 (b) w (c) t c Let u = 1674 + -1674.1. What is the third smallest value in u, 1/3, 1, 2? 1 Let y be ((-110)/(-75) + -1)*236/(-294). Let n = y - -4/45. Let i = -0.11 - 4.89. What is the second smallest value in -0.5, n, i? -0.5 Let u = -1.783 + -0.017. Let j = 3.8 + u. What is the second smallest value in 5, 1/2, j, -2/7? 1/2 Let u = 0.972 + -1.072. What is the third biggest value in 4, u, -2? -2 Let j be ((-12)/30)/((-2)/10). Let t be 52/(-32) - j/(-1). Which is the third biggest value? (a) t (b) -0.1 (c) -1 c Let v = -1456.28 - -1456. What is the biggest value in 5, 0.4, -4, v? 5 Let x = -423 - -418. Which is the biggest value? (a) x (b) -0.2 (c) 1/3 (d) 0.148 c Let q = 17.5 - 17.8. Which is the biggest value? (a) 8 (b) 0 (c) q (d) 4 a Let x = -0.634 + -0.366. Suppose -5*r + 2*u = -u, 3*r - 2*u + 1 = 0. Which is the second biggest value? (a) r (b) -9 (c) x (d) 2/3 d Let u = 69.2 + 19.8. Let o = u + -89.04. Which is the third biggest value? (a) -2 (b) -3 (c) o b Let y be ((-285)/38)/(-3 - 2). Let l be ((-2)/(-21))/((-1)/(-3)). Which is the smallest value? (a) 0.08 (b) y (c) l a Let z = 255 - 257. Let o = 3 - 7. Which is the fourth smallest value? (a) -5 (b) 7 (c) z (d) o b Let m = -518 + 488.3. Let h = m - -30. What is the third smallest value in -5, -7/3, h? h Let b = -2.4 - -2.52. Let x = b - -0.18. What is the second biggest value in 10, -2/13, x? x Let t = -6.12 - -6.02.
{ "pile_set_name": "DM Mathematics" }
4 - 1/420*y**7 + 1/40*y**5 + 0*y + 0*y**3 + 0. Determine g, given that v(g) = 0. -2, 0, 1 Let n(r) = -r**2 + 89*r - 1736. Let v be n(29). Factor 2/3*j**2 + 2/3*j**3 + 2/9*j**v + 0 + 2/9*j. 2*j*(j + 1)**3/9 Suppose 85 - 85 = 106*j. Determine l, given that 1/3*l**4 + j*l**2 - 1/3 - 2/3*l**3 + 2/3*l = 0. -1, 1 Let -1/6*w**3 - 21/2 - 17/2*w - 13/6*w**2 = 0. Calculate w. -7, -3 Let s be (17250/(-12075))/(0 + (-16)/42). Solve 3/4*a**3 - 15/4 + s*a**2 - 3/4*a = 0 for a. -5, -1, 1 Suppose -36 = 3*f - 7*f. Let n be 3/(-4 + f/2). Factor -32 + 3*r**3 + 14*r**2 + 10*r - r**3 + n*r. 2*(r - 1)*(r + 4)**2 Factor -2*w**2 - 8/5*w + 24/5. -2*(w + 2)*(5*w - 6)/5 Let q(k) = -2*k**2 + 19*k - 21. Let w be q(8). Suppose 0 = -0*i + w*i. Factor 12/7 - 3/7*g**2 + i*g. -3*(g - 2)*(g + 2)/7 Factor -12*r**3 + 21695*r**2 + 2*r**4 - 3*r**4 - 21682*r**2. -r**2*(r - 1)*(r + 13) Suppose -162 = -8*g - 106. Let t(i) be the second derivative of 0*i**4 + 0 + 6*i + 0*i**6 - 1/210*i**g + 0*i**2 - 1/30*i**3 + 1/50*i**5. Factor t(u). -u*(u - 1)**2*(u + 1)**2/5 Let z be 1 - ((-40)/15 + (-11 - -13)). Find q, given that -4/3*q**3 + z*q**2 - 1 + 2/3*q = 0. -3/4, 1 Let b = 2311/2 + -1153. Find t such that -15/2*t**2 - b*t**3 + 10 + 0*t = 0. -2, 1 Let s(k) = -k**4 - k**2 - 1. Let v(g) = 11*g**5 + 18*g**4 - 75*g**3 - 152*g**2 - 92*g - 7. Let r(h) = -5*s(h) - v(h). Let r(i) = 0. Calculate i. -2, -1, -2/11, 3 Let p = 138 + -134. Let k(t) be the third derivative of 0 + 1/270*t**5 - 2*t**2 + 0*t**p + 0*t**6 + 0*t - 1/945*t**7 + 0*t**3. Suppose k(a) = 0. Calculate a. -1, 0, 1 Solve -22/7*s**3 + 0*s + 0 + 60/7*s**2 + 2/7*s**4 = 0. 0, 5, 6 Let 59*c**3 - 57*c**3 + 100*c + 57*c**2 - 27*c**2 = 0. Calculate c. -10, -5, 0 Let u = 100 - 95. Let b(v) be the first derivative of -5/3*v**6 + 0*v**3 + 0*v**2 + v**4 - 5 - 6/5*v**u + 0*v. Factor b(r). -2*r**3*(r + 1)*(5*r - 2) Let f = -16 + 24. Factor -4 - f + 4*j**2 + 276*j - 284*j. 4*(j - 3)*(j + 1) Let h(k) = 6*k**2 + 4*k - 6. Let y be h(3). Let d be 3*5/(y/8). Let 1/4*l + 1/2*l**d - 1/2*l**4 + 0*l**3 + 0 - 1/4*l**5 = 0. Calculate l. -1, 0, 1 Suppose -5*y + 15 = 5. Let d = -1/22 - -71/110. Solve 0*g - d*g**y + 12/5 = 0 for g. -2, 2 Let z(h) be the first derivative of 3/2*h**2 - 3/4*h**4 + 3/5*h**5 - h**3 + 0*h + 1. Factor z(s). 3*s*(s - 1)**2*(s + 1) Let r(z) be the first derivative of -z**6/4 + 4*z**5/5 + 23*z**4/8 - 4*z**3 - 5*z**2 + 8*z - 83. Let r(v) = 0. Calculate v. -2, -1, 2/3, 1, 4 Let h(w) be the first derivative of -6*w**3/5 - 542*w**2/5 - 48*w + 633. Solve h(x) = 0. -60, -2/9 Suppose -51 = g + 5*o, -5*o + 4*o - 147 = 4*g. Let h = -27 - g. Determine a, given that -a**2 + h - 1 + 8*a**2 - 3*a**2 + 12*a = 0. -2, -1 Let s(v) be the first derivative of -33*v**5 + 43*v**3 - 25/2*v**6 + 36*v + 243/4*v**4 - 84*v**2 + 12. Solve s(p) = 0 for p. -3, -1, 2/5, 1 Let r(s) be the third derivative of -2*s**2 + 11/70*s**7 + 0*s**4 - 1/8*s**6 - 1/28*s**8 + 0*s + 0 - 1/10*s**5 + 0*s**3. Find d, given that r(d) = 0. -1/4, 0, 1, 2 Let h = -5272/5 + 1056. Solve 6/5 - 4/5*i**2 - 8/5*i**3 - 2/5*i**4 + h*i = 0. -3, -1, 1 Let q(b) be the third derivative of 2*b**3 + 3/20*b**6 + 13/20*b**5 + 0*b + 1/70*b**7 + 7*b**2 + 0 + 3/2*b**4. Factor q(a). 3*(a + 1)**2*(a + 2)**2 Let i be (-1)/(5/6 + -1). Let s(n) be the first derivative of -2/3*n**3 - 4 - 18*n + i*n**2. Factor s(g). -2*(g - 3)**2 Suppose -10*c + 1633 = -1207. Let v = c + -282. Solve 3/4*y**v + 3/2*y + 0 - 3/4*y**3 = 0 for y. -1, 0, 2 Factor 2/9*p**2 + 0 - 10/9*p. 2*p*(p - 5)/9 Let o(r) be the second derivative of 27*r**6/5 - 3*r**5/5 + r**4/54 + 113*r. Factor o(n). 2*n**2*(27*n - 1)**2/9 Let w(y) = -y**3 - 8*y**2 - 6*y - 5. Let k be w(-7). Let u be (-52)/k - 4/(-6). Determine r so that 11*r + 4*r + 6 - u*r - r + 3*r**2 = 0. -2, -1 Let l be 18/(-135) + (-527)/(-15). Factor -1 + 33*k**2 + 9 - 6*k - l*k**2. -2*(k - 1)*(k + 4) Let k(p) be the third derivative of p**8/20160 + p**7/1260 + p**6/180 - 11*p**5/20 + 34*p**2. Let s(c) be the third derivative of k(c). Factor s(t). (t + 2)**2 Let o = 451 + -445. Let g(c) be the third derivative of o*c**2 + 0*c**3 + 0 - 1/210*c**5 - 1/84*c**4 + 0*c. Let g(y) = 0. Calculate y. -1, 0 Let m(o) be the second derivative of -o**4/20 - o**3/5 + 3*o + 9. Factor m(b). -3*b*(b + 2)/5 Factor -5/3*o**3 + 0*o + 0 - 610/3*o**2. -5*o**2*(o + 122)/3 Let w(x) = -15*x**2 - 45*x + 5. Suppose -s = 0, 0*s = v + s + 5. Let r(y) = 7*y**2 + 22*y - 2. Let j(l) = v*r(l) - 2*w(l). Factor j(h). -5*h*(h + 4) Let r(f) = -10*f**4 + 20*f**3 - 5*f - 5. Let j(n) = 5*n**4 - 10*n**3 + 3*n + 3. Let g be (-2*6/(-4))/(1 - 0). Let u(x) = g*r(x) + 5*j(x). Factor u(l). -5*l**3*(l - 2) Let r(c) = -14*c**3 + 109*c**2 - 14*c + 12. Let q(d) = 85*d**3 - 650*d**2 + 85*d - 70. Let t(w) = 6*q(w) + 35*r(w). Factor t(z). 5*z*(z - 4)*(4*z - 1) Let y be (-15)/60 + (-77)/(-92). Let q = y + -2/23. Determine p so that 0*p - 1/2*p**5 - 1/2*p**2 + q*p**4 + 0 + 1/2*p**3 = 0. -1, 0, 1 Let z(f) be the second derivative of -1/20*f**4 + f - 1/300*f**6 - 1/15*f**3 - 3/2*f**2 + 0 - 1/50*f**5. Let b(g) be the first derivative of z(g). Factor b(w). -2*(w + 1)**3/5 Let w(m) be the first derivative of 2*m**5 - 3*m**4/2 - 8*m**3 - 4*m**2 - 194. Factor w(u). 2*u*(u - 2)*(u + 1)*(5*u + 2) Solve -1/7*f**3 + 19/7*f + 0 - 18/7*f**2 = 0 for f. -19, 0, 1 Suppose 8/7*f + 2/7*f**2 + 8/7 = 0. Calculate f. -2 Let z(x) be the third derivative of -x**6/720 - x**5/120 - x**4/48 - x**3/36 + 71*x**2. Let z(h) = 0. Calculate h. -1 Let y = 19 - 10. Suppose 239 = 6*m - 103. Let -m - 15*z + 52 - y*z**2 - z**2 = 0. Calculate z. -1, -1/2 Let t(a) be the third derivative of 0*a + 0*a**3 + 0 + 1/30*a**5 + 7*a**2 - 1/12*a**4. Find j, given that t(j) = 0. 0, 1 Determine s so that 3/5*s**5 - 18/5*s**3 + 54/5 + 84/5*s**2 + 27*s - 18/5*s**4 = 0. -1, 3, 6 Let n = -21 + 29. Let v(r) = -7*r**3 - 3*r. Let p(i) = 5*i + i**2 + 11*i**3 - i**2. Let h(j) = n*v(j) + 5*p(j). Factor h(w). -w*(w - 1)*(w + 1) Let r be (-44)/((-2068)/(-141)) - (-242)/14. Solve -12/7*n**4 - r*n**3 - 64/7*n - 32*n**2 + 0 = 0. -4, -1/3, 0 Let x(f) be the second derivative of f**5/30 + 19*f**4/18 + 80*f**3/9 - 100*f**2/3 + 2*f - 21. Factor x(l). 2*(l - 1)*(l + 10)**2/3 Factor -18818*o**4 - 1358*o**3 + 1720*o + 3338*o**2 + 18980*o**4 + 200 - 190*o**3. 2*(o - 5)**2*(9*o + 2)**2 Let r(g) be the second derivative of -10/3*g**4 + 0 + 40*g**2 + 6*g**5 + 3/2*g**6 + 5*g - 80/3*g**3. Determine k so that r(k) = 0. -2, 2/3 Let n(j) be the third derivative of 3*j + 0 - 3/2*j**3 + 1/20*j**5 - 1/4*j**4 + 3*j**2. Find f, given that n(f) = 0. -1, 3 Let d(o) be the third derivative of o**6/45 + 98*o**5/45 + 193*o**4/36 + 16*o**3/3 + 34*o**2. Factor d(a). 2*(a + 48)*(2*a + 1)**2/3 Let i(d) be the second derivative of d**6/12 - 63*d**5/40 - 31*d**4/24 + 21*d**3/4 + 13*d**2/2 - 177*d. What is f in i(f) = 0? -1, -2/5, 1, 13 Let w(a) = 10*a**3 - 20*a**2 + 15*a + 5. Let h(r) = r**3 - r + 1. Let v(j) = 5*h(j) - w(j). Factor v(t). -5*t*(t - 2)**2 Let w(k) be the first derivative of 5 - 2/13*k - 4/13*k**2 + 2/13*k**4 - 2/13*k**5 + 4/13*k**3. What is h in w(h) = 0? -1, -1/5, 1 Determine d, given that 4*d + 2*d - d - 120*d**4 + d + 48*d**5 + 27*d**3 + 39*d**2 + 0*d = 0. -1/4, 0, 1, 2 Let d(m) be the first derivative of m**4/4 + 2*m**3/3 - m**2/2 - 2*m - 63. Find z, given that d(z) = 0. -2, -1, 1 Let c(v) be the first derivative of -10/3*v**3 + 5/4*v**4 - 5/2*v**2 - 12 + 10*v. Let c(h) = 0. What is h? -1, 1, 2 Suppose h = 8 - 2. Factor 5*o**2 - 4 + h*o**2 + 10*o - 5*o**2. 2*(o + 2)*(3*o - 1) Let h(s) be the second derivative of -s**6/240 + 9*s**5/160 + s**4/96 - 3*s**3/16 + 285*s. Factor h(i). -i*(i - 9)*(i - 1)*(i + 1)/8 Let v(l) = l**2 - 6*l + 7. Let w be v(5). Let j(u) be the first derivative of -3/14*u**4 + w - 10/21*u**3 + 2/7*u**2 + 0*u. Factor j(r). -2*r*(r + 2)*(3*r - 1)/7 Let y = 3/260 + 14/195. Let s(o) be the second derivative of y*o**4 - 1/6*o**3 + 0 + 5*o - o**2. Factor s(m). (m - 2)*(m + 1) Let u be -6*(1/(-2) + 0). Let y be 5/(-5) - 3 - -4. Factor 6 + k**2 + y*k**2 - u*k**2 - 14 + 8*k. -2*(k - 2)**2 Let l(x) be the first derivative of x**3 - 36*x**2 + 132*x + 222. Factor l(p). 3*(p - 22)*(p - 2) Let n(r) be the first derivative of 35*r**4/12 + 40*r**3/3 + 10*r**2 + 25*r - 45. Let l(m) be the first derivative of n(m). Solve
{ "pile_set_name": "DM Mathematics" }
**3)/(p**(-1/2))**7)/((((p*p**(-3)/p)/p*p)/p**7)/((p/(p/(p/(p*(p*p**2)/p*p))))/p)**(-7)) assuming p is positive. p**(75/2) Simplify a**(-27)*a**(3/11)*(a*(a**(-1/2)/a)/a*a)/(a/(a*(a/((a*a/(a/(a/a**(-6)))*a*a)/a))/a)) assuming a is positive. a**(-797/22) Simplify (m*m/((m**10*m)/m*m))/(m/(m*m**(12/13)))*m/m**46*m**(-12/13) assuming m is positive. m**(-54) Simplify (b*b*b*b**(1/28)*b*b*b*b**33)/(b**(18/13)*b*b**(1/35)) assuming b is positive. b**(66653/1820) Simplify ((s**(-5))**(-39))**7/(s**(-6)/(s**(1/2)*s)*(s**(-1/5)/s)/(s**(1/6)/s)) assuming s is positive. s**(20593/15) Simplify (((c**(-5/4)*c**(-7)/c)**6)**(-42))**(13/2) assuming c is positive. c**(30303/2) Simplify (i**(3/4)/(i/(i/i**(-2))))**13*(i*i**(4/3))/(i*i/(i*i*i*i**(1/5)*i)*i)*((i**7/i)/i)/(i*i**(-2/3)) assuming i is positive. i**(879/20) Simplify ((f*f**(-6))/(((f*f*f**(-2/3))/f)/f))**(1/19)*(f**(-3/2)/((f/((f**(-1/2)*f)/f))/f))**31 assuming f is positive. f**(-3547/57) Simplify ((y*y**2/y)**(-14))**(-13)/(y*y**(-1)*y**6*y)**(-3/38) assuming y is positive. y**(13853/38) Simplify ((((d/(d/((d/((d*d/d**2)/d))/d)))/d**(-1/5))/(d*d**(-2)*d**(2/9)))**(1/8))**(-17) assuming d is positive. d**(-1513/360) Simplify (f**(-1/2)*f**(-2/5))**(1/29)/(f**(1/4)*f*f**7/f*(f**(-2/3)*f*f)**18) assuming f is positive. f**(-18143/580) Simplify ((((y*y**3*y)/y*y/(y/((y/((y**(-2/9)/y)/y)*y)/y)))**(-17))**(37/5))**(-25) assuming y is positive. y**(204425/9) Simplify ((f/f**(-10))/(f/((f/(f**19/f))/f*f))*(f*(f*((f**(-8)*f)/f*f*f)/f*f*f)/f)/(f**(-10)/f*f))**(-6) assuming f is positive. f**6 Simplify (m**3/(m*((m/(m/(m/(m*m**(-3/2)))))/m)/m)*m**(3/7)*m**(-7/6))/(m/(m*m*m**(3/4))*m*m**(-5/2))**8 assuming m is positive. m**(583/21) Simplify (s/(s*s**(-4))*s**(-2/17)*s)**(-1/53)*((s/s**(2/5))**(-48))**(-40/9) assuming s is positive. s**(115245/901) Simplify ((g**(-1/33)/g)/g*g*g**(3/5)*(g*((g*g/(g*g/(g/(g/g**7))*g*g)*g)/g)/g)**(-25/2))**(1/37) assuming g is positive. g**(-20767/12210) Simplify (p/p**(2/17))/(p/(p**(1/10)*p))*p/(((p*p*p/(p*p/(p*p**(3/5)))*p)/p)/p)*p**(-4/3)*(p**(2/7))**24/(p**(-1/10)/(p*p/p**7*p*p*p)) assuming p is positive. p**(7151/1785) Simplify ((a**(-2/11)/(a*a/a**7*a))/(a**1*a**(-1/17)))/((a**3/((a**(4/5)*a)/a))/((((a*a/a**(-1/2)*a)/a)/a)/a*a)**(1/6)) assuming a is positive. a**(3467/3740) Simplify (n**(-3/5)/(n**3/n))**(-37)*(n*n*n/n**2*n)**(40/9)/(n**(3/2)*(n*n**(1/7))/n*n) assuming n is positive. n**(64541/630) Simplify (((a/a**(-6))/a)/a)/(a**26/a*a)*(a*a*a/(a*a*a**7))**33 assuming a is positive. a**(-219) Simplify ((((c*c**7*c)/(c*c*c**(-2/13)/c))**(5/2))**(2/5))**(-16) assuming c is positive. c**(-1696/13) Simplify (y**(-1/6)*y**5)**(-7)/(((y*y**(-2/17)*y*y)/(((y/(y**(-4)*y*y*y))/y)/y*y))/(y*y**(-4)/y*y*y*y**(-2/5))) assuming y is positive. y**(-19439/510) Simplify ((x**12/x*x)/((x*x*(x/x**(-6)*x)/x)/x))**39*(x*x**(-1/5)*x)/(x**(1/8)*x)*x*x**(-6/13)/x*x**(-1/4) assuming x is positive. x**(81101/520) Simplify ((i/(i*(i/i**0)/i))**39/(i**1*i)**(-1/61))/((i*i/(i/(i*i**(1/2))*i))/(i**(-1/3)/i)*((i**(-1/3)/i)/i)**(13/2)) assuming i is positive. i**(2263/183) Simplify (s**(2/109)*s)**4/(s/((s/(s*s/(s*s*s/(s**(-16/3)*s))))/s))**15 assuming s is positive. s**(7529/109) Simplify (a**4*a*a*a**(2/13)*(a/(a**(2/9)/a))**(-6/5))/((a/(a/(a/(a/(a**(-1/12)/a)*a)))*a/(a*a*a/a**(-3/2))*a)/(a**0)**(1/20)) assuming a is positive. a**(2237/260) Simplify (((q*q/((q/q**(-1))/q*q))/q**(-9/4)*(q*q**(-15))/q*q/(q**(-2/25)*q))**50)**(-15/2) assuming q is positive. q**(19005/4) Simplify ((((j/(j*(j**(-2/11)*j)/j))/(j/(j/(j/j**(1/12)))))/(j/(j**5/j)*j*j**(2/3)))**(8/9))**(-2/49) assuming j is positive. j**(-316/14553) Simplify (h**44/(h/h**(1/54)))/(h/(h**23/h)*h/(h*h**(2/25))) assuming h is positive. h**(86533/1350) Simplify (((i/(i/((i**(-2)/i*i)/i)))**(-41)/(i*i**(2/11))**(-29))**14)**(-30) assuming i is positive. i**(-726600/11) Simplify ((b**(-2/3)*b)/(b/(((b**5/b)/b)/b)))**(-8/15)*(b/(b*b/b**(-6))*b*b**(-3))/(b*b**(-2/5)*b**(-1/6)) assuming b is positive. b**(-913/90) Simplify (u**(-2/19)*u**(6/5))**(1/43)*(u**6*u*u**(-1/8))**(-3/10) assuming u is positive. u**(-133141/65360) Simplify ((h**0*h)/h)**30/((h/h**(2/5))/h*h**3)*h*h**(-5)*h/(h/(h**(-6)*h))*h**(-2)*h**(2/21) assuming h is positive. h**(-1418/105) Simplify (((b/(b**(1/36)/b))/b)**(3/8)*(b**(-1/10))**(-30))**(-50) assuming b is positive. b**(-8075/48) Simplify ((((i/(i**5/i*i)*i)/i)/i)**(-25)/((i*i**(-2/27)*i)/i*i**(2/5)))**(2/25) assuming i is positive. i**(33392/3375) Simplify ((g**(-2)*g*g**(1/7))/(g**0)**(-34))/(g**(2/3)/(g/g**(2/5))*g**(3/8)/(((g/g**(2/11))/g)/g)) assuming g is positive. g**(-22921/9240) Simplify ((q**(-4/3)*q**(-3/2)/q*q/q**(-2/21)*(q/(q*(q*(q*q*(q/(q*q**11*q*q))/q)/q)/q))/q*q)**(-10/11))**(-1/10) assuming q is positive. q**(431/462) Simplify (q**(-1)*q)**(-12/11)*(q/(q**(-2/19)/q))/q*q**5*q*(q**(-1/2))**32/((q**(-1/16)*q)/q*q*q**2) assuming q is positive. q**(-3597/304) Simplify (m**(-1/8)/(m**(-1/3)/m*m)*(m*m**(1/3))**11)/((m*m/((m**(-1)/m)/m))**(-1/2))**(-14/9) assuming m is positive. m**(791/72) Simplify (((v*v/(v/(v/(v*v**13)))*v)/(v*v**(1/21)))/(v**(12/11)*v**(4/9)))**(4/5) assuming v is positive. v**(-37652/3465) Simplify (d**46/d*d*d**30*d**(-24)*d/((d*d**39*d)/d)*d)**(6/25) assuming d is positive. d**(84/25) Simplify (((f**(1/5)*f)/f**(-2/7))/(f**4*f**(-2/7)))/(((f/(f/(f/(f/(f**(3/2)/f))))*f*f)/(f**4*f))/(f**(-2)*f**(3/10))) assuming f is positive. f**(-10/7) Simplify (k**(-2)*k**10)**(-45)*k**(2/11)/k*k*k*k/(k*k*k*k**(-3))*k*k/(k**(3/5)/k)*k*k**(-4/7)/k*k assuming k is positive. k**(-136671/385) Simplify (l**(-40))**(-49)*(l/l**(-1/56))/l*l**(-13)*l assuming l is positive. l**(109089/56) Simplify z*z/z**(-3)*z**(-2/15)*z**(-4/3)/z**(1/2)*((z*z*z*z*z/((((z**2*z)/z)/z)/z)*z)/(z**2/z))/(z/(z**(-1/4)*z*z)*z)**(-31) assuming z is positive. z**(947/60) Simplify (((c**(3/4))**33/((((c**(2/13)/c*c*c)/c)/c)/(c*(c*c**(-2/9))/c)))**(-9))**28 assuming c is positive. c**(-86401/13) Simplify (((w**(1/3)/(w/w**(2/3)))/(w*w**3*w*w**(3/14)))**27)**(-41) assuming w is positive. w**(80811/14) Simplify ((q*q**(2/25))/q**(-23)*q/(q**(-23)/q*q)*q**(-2/9))**(27/4) assuming q is positive. q**(8076/25) Simplify ((((c/c**(2/7))/c)/c)**(-1/5)*c*c**3/c*c**(-2))/((((c*c**(1/10))/c*c*c)/(c*c**(2/9)))/(c**0)**34) assuming c is positive. c**(239/630) Simplify ((a**(-3)*a**(1/2))/(a**(-2/3)*a)**17)/((a**2/a)/a*a*a/(a/(a**3/a)))**(6/19) assuming a is positive. a**(-1039/114) Simplify ((g*g**(-2))**(4/11))**32*((g/(g**(-2/9)/g)*g)**(5/3))**(-38) assuming g is positive. g**(-64066/297) Simplify ((m**14/(m**42/m*m))/(m**(-1/16)/(m/((m**(-2/71)*m)/m))))**(-23/5) assuming m is positive. m**(703087/5680) Simplify ((q**(2/9))**(4/3))**41*(q/(q**(-1/5)*q)*(q*q*q*q/q**(4/9)*q)/q)/(q**2)**(-1/2) assuming q is positive. q**(2282/135) Simplify ((n*n**(-13))/n**(-3)*((n/(n**(-5/6)*n))/n)/((n/((n/n**(-8))/n))/n))**(2/51) assuming n is positive. n**(-7/153) Simplify ((o**6)**(-34)*(o*o**21)/o**(-2/17))**(-3/8) assuming o is positive. o**(2319/34) Simplify (((f/(f*f**3/f))/f**(-1/17))/(f/f**(2/15))**(-9))**(-5) assuming f is positive. f**(-498/17) Simplify ((j**(1/26))**(-1/12)/(j/(j/(j**(-7/9)/j))*j**(2/9)))**(13/6) assuming j is positive. j**(1453/432) Simplify (t**2/(t*t**(-2/15)))**(-45)/((t**(3/5)/(t**0/t))/(((t/t**0)/t)/t)**(1/2)) assuming t is positive. t**(-531/10) Simplify (a**(4/7)/a**8)**(2/175)/((a*a*a*a**2)**(42/13)/(a**(2/5)/(a/(a/a**(-6)*a)))) assuming a is positive. a**(-140757/15925) Simplify (d/(((d/(d*d**(-2)))/d)/d)*d*d/d**5)**(2/13)*(d**(-1/3))**16*(d**(-2/5))**44 assuming d is positive. d**(-4532/195) Simplify ((r/(r/(r/(r**(-2/7)/r)))*r)**(-1/7))**(-11)*((r*r*r**(2/5)*r)**(-3/8))**(-6/5) assuming r is positive. r**(32797/4900) Simplify (b**(-5)*(b**5/b)/b*b*(b/((b*b**(-1/3)/b)/b))**(-1/13))/(b**(-2)/b*b/((b*b**4)/b)*b**(1/10)/(b/b**(-4))) assuming b is positive. b**(3791/390) Simplify (b**(1/7)*(b*b**(5/4)/b*b)/b)**(-13)/((b*b**2)/((b*b/b**3*b)/b*b)*(b**0*b)**(2/51)) assuming b is positive. b**(-30197/1428) Simplify (((p/(((p**4*p)/p)/p)*p**(-2))/(p**(-1/2)*p**3/p*p))**(-1/3))**(-6/19) assuming p is positive. p**(-13/19) Simplify (o*o/(o**(-5)/o)*o**(-1/3)/o*o)**(-3/7)*((o*o*o/(o/(o/o**(-1)))*o)**(38/3))**(26/3) assuming o is positive.
{ "pile_set_name": "DM Mathematics" }
ent from {g: 1, z: 1, k: 5, e: 4}? 2/11 Calculate prob of sequence lxsl when four letters picked without replacement from {s: 1, l: 2, g: 2, x: 1, v: 1}. 1/420 Calculate prob of sequence sajs when four letters picked without replacement from {a: 2, r: 1, s: 2, c: 1, j: 1, x: 1}. 1/420 Two letters picked without replacement from eeyye. What is prob of sequence ey? 3/10 Three letters picked without replacement from {l: 4}. Give prob of sequence lll. 1 Three letters picked without replacement from fgvmdggmvav. Give prob of sequence vfd. 1/330 Calculate prob of sequence zd when two letters picked without replacement from {d: 2, n: 1, z: 1}. 1/6 Three letters picked without replacement from jqqjjjqjqjqj. What is prob of sequence qqq? 1/22 Two letters picked without replacement from {u: 2, p: 3, v: 8, h: 1, n: 3, e: 1}. What is prob of sequence hu? 1/153 Two letters picked without replacement from gcaccccgacfacfccacf. What is prob of sequence af? 2/57 Calculate prob of sequence lll when three letters picked without replacement from lll. 1 What is prob of sequence fppf when four letters picked without replacement from ppfffpfftfpfp? 7/143 What is prob of sequence ici when three letters picked without replacement from iaaacaaiaiaaaaciiicc? 1/57 What is prob of sequence ti when two letters picked without replacement from {l: 8, i: 1, t: 11}? 11/380 Calculate prob of sequence vrru when four letters picked without replacement from rvurvuvururrrurvvuv. 21/1292 Two letters picked without replacement from cccnnccc. Give prob of sequence nc. 3/14 Three letters picked without replacement from ruuuruuurruuuu. What is prob of sequence rur? 5/91 Four letters picked without replacement from ddhidiimddiiddhijij. Give prob of sequence jimi. 7/7752 Three letters picked without replacement from {f: 4, j: 1, o: 8}. What is prob of sequence joo? 14/429 Four letters picked without replacement from ccrrzcczrcccrzzrc. Give prob of sequence crcz. 1/51 Four letters picked without replacement from {z: 11, i: 1}. Give prob of sequence zizi. 0 Three letters picked without replacement from cxxxxxxxxxxcxxxxxxxc. What is prob of sequence xxx? 34/57 What is prob of sequence xvj when three letters picked without replacement from jkjkrvkrxkrkk? 1/858 Two letters picked without replacement from {n: 5, z: 1, a: 1, y: 1, p: 1}. What is prob of sequence zy? 1/72 Two letters picked without replacement from {b: 4, o: 2, x: 3, s: 2, l: 6}. Give prob of sequence lx. 9/136 Calculate prob of sequence yq when two letters picked without replacement from qqyyqqqqqqqqqqqqqq. 16/153 Calculate prob of sequence hh when two letters picked without replacement from {h: 13, v: 3}. 13/20 Calculate prob of sequence mm when two letters picked without replacement from {m: 8, c: 2, j: 2}. 14/33 What is prob of sequence lblx when four letters picked without replacement from bxlxxbblglb? 1/110 Three letters picked without replacement from {p: 1, t: 1, j: 3}. What is prob of sequence jpt? 1/20 Calculate prob of sequence sdsn when four letters picked without replacement from {t: 1, g: 2, n: 1, d: 2, s: 2}. 1/420 Four letters picked without replacement from kkhkhhkkkkkkkkhhkk. Give prob of sequence khkh. 13/306 What is prob of sequence gykb when four letters picked without replacement from kxbgxgxxkgbykxgxmkxg? 1/2907 Calculate prob of sequence osos when four letters picked without replacement from {o: 2, s: 8}. 1/45 Calculate prob of sequence qxc when three letters picked without replacement from {e: 1, c: 1, q: 1, x: 1, a: 1}. 1/60 Two letters picked without replacement from ggnngatttaan. Give prob of sequence na. 3/44 Two letters picked without replacement from {i: 6, p: 3, l: 2, s: 1, b: 7}. Give prob of sequence si. 1/57 Three letters picked without replacement from {c: 1, a: 2, e: 1, v: 2}. What is prob of sequence vvc? 1/60 Three letters picked without replacement from {h: 2, u: 2, e: 1}. What is prob of sequence euu? 1/30 What is prob of sequence tjqu when four letters picked without replacement from juqujuqtqqjujuqujqju? 7/3230 Two letters picked without replacement from {w: 2, i: 2, s: 1, e: 4, m: 1}. Give prob of sequence ms. 1/90 Two letters picked without replacement from bssssb. What is prob of sequence sb? 4/15 What is prob of sequence pq when two letters picked without replacement from {p: 2, q: 1}? 1/3 Calculate prob of sequence zq when two letters picked without replacement from bbqzqzqzbbz. 6/55 Calculate prob of sequence jr when two letters picked without replacement from {j: 1, r: 2, p: 2}. 1/10 What is prob of sequence sbc when three letters picked without replacement from swbec? 1/60 Calculate prob of sequence zm when two letters picked without replacement from ssmsmzm. 1/14 Calculate prob of sequence ey when two letters picked without replacement from yaassae. 1/42 Calculate prob of sequence ww when two letters picked without replacement from wwwfwfw. 10/21 Two letters picked without replacement from wbwwwbbwwwwwwwwwww. What is prob of sequence wb? 5/34 Three letters picked without replacement from {x: 2, w: 1, r: 1, m: 2, j: 1, y: 1}. What is prob of sequence wyx? 1/168 Calculate prob of sequence wqt when three letters picked without replacement from ttwqwwwttw. 1/36 Four letters picked without replacement from slslslllllllll. What is prob of sequence slls? 5/182 Two letters picked without replacement from bjbjjjj. What is prob of sequence jj? 10/21 What is prob of sequence toto when four letters picked without replacement from htooooototthottoo? 9/238 Four letters picked without replacement from flfffffffflfflffff. What is prob of sequence ffll? 7/408 Two letters picked without replacement from {m: 3, y: 3, s: 2}. Give prob of sequence ms. 3/28 Two letters picked without replacement from {u: 4, x: 1, w: 2, e: 1}. Give prob of sequence wu. 1/7 Three letters picked without replacement from iiiliiiililiiiiiiiii. Give prob of sequence lll. 1/1140 What is prob of sequence tt when two letters picked without replacement from {t: 3, e: 4, h: 2}? 1/12 Three letters picked without replacement from pjmdjnn. What is prob of sequence mnd? 1/105 Four letters picked without replacement from {o: 5, p: 1, m: 1, u: 6, g: 2}. Give prob of sequence oggm. 1/3276 Two letters picked without replacement from igii. What is prob of sequence gi? 1/4 Two letters picked without replacement from {o: 2, h: 7}. What is prob of sequence oo? 1/36 What is prob of sequence at when two letters picked without replacement from {g: 2, t: 1, y: 1, a: 1}? 1/20 What is prob of sequence dffd when four letters picked without replacement from ddfdfdd? 1/21 Calculate prob of sequence rc when two letters picked without replacement from {r: 3, c: 2, g: 3}. 3/28 What is prob of sequence gs when two letters picked without replacement from vesscghccgs? 3/55 Two letters picked without replacement from vmaamnamaausm. Give prob of sequence um. 1/39 Four letters picked without replacement from qqqqqqqqqq. Give prob of sequence qqqq. 1 Four letters picked without replacement from diiiidiiii. What is prob of sequence didi? 1/45 Calculate prob of sequence dk when two letters picked without replacement from dkp. 1/6 What is prob of sequence yzcb when four letters picked without replacement from oybblylzlyccly? 2/3003 Calculate prob of sequence aqv when three letters picked without replacement from aqqnkvqnkn. 1/240 What is prob of sequence nwxa when four letters picked without replacement from {a: 2, n: 1, x: 4, w: 2}? 1/189 Three letters picked without replacement from {g: 9, j: 7}. Give prob of sequence jjg. 9/80 Four letters picked without replacement from {m: 15, d: 5}. Give prob of sequence dmdd. 5/646 What is prob of sequence ggsg when four letters picked without replacement from {l: 1, n: 5, s: 2, v: 2, g: 4}? 2/1001 Two letters picked without replacement from {o: 2, u: 1, q: 1, k: 2, x: 2}. Give prob of sequence xu. 1/28 Three letters picked without replacement from {x: 2, s: 1, p: 2, k: 6}. Give prob of sequence sxp. 2/495 Three letters picked without replacement from {w: 1, t: 1, z: 5, n: 8, o: 2}. Give prob of sequence znt. 1/102 What is prob of sequence uukk when four letters picked without replacement from uukq? 0 What is prob o
{ "pile_set_name": "DM Mathematics" }
v + 121 = 42*x for x. 1 Solve c + 5*a = 13, 10*a - 89 + 35 = 3*c - 25 - 18 for c. 3 Solve 29 = 4*i + a, 4748*i - 4*a + 116 = 4751*i for i. 0 Solve 4*a + 8*n - 7*n = -7*n - 88, 5*a + 26*n - 56 + 326 = 0 for a. -2 Solve 0 = 3*y + 2*q + 50 - 65, y + q + 3595 = 3600 for y. 5 Solve a - 4*h - 20 = 0, 45*h = -5*a + 1934 - 2094 for a. 4 Solve -1798*s + 1793*s + 3*t = 113, -363 = 3*s - 9*t for s. 2 Solve -108*n + 110*n - 5*s = -79 + 46, 5*s + 21 = -4*n for n. -9 Solve 13*k + 13*k + 172 = -9*d, -2*d + 31 = -4*k + 1 - 10 for d. 4 Solve 3*l = -6*w - 27, 6*l + 355215389 = 4*w + 355215287 for l. -15 Solve 24*k = 3*q - 141, -33*k + 110*k = 40*k + 38*k + 2*q - 9 for k. -5 Solve 0*n = 4*n + q + 12, -2*n + 550*q - 549*q - 12 = 0 for n. -4 Solve 141*x + a = 137*x - 92, -a - 70 = 3*x for x. -22 Solve 14 = 7*i - 2*t + 98, -3*t + 79 + 47 = 4*i for i. 0 Solve -132488 + 132382 = -2*y + 4*v, -y - 92 = 3*v for y. -5 Solve -4*n - 292 = -4*f - 14*f - 128, -3*f - 38 = -6*f - 0*f - 2*n for f. 10 Solve 60 = -5*y + 4*j, 0 = -10*y - 9430*j + 9427*j - 65 for y. -8 Solve -4*u = 2*g + 777 - 715, -5*u + 127 + 18 = -220*g for g. -1 Solve 40*a + 48 = -4*d + 7*a + 16*a + 19*a, -2*d - 16 = -5*a for d. -13 Solve 15 = -3*n + 58*l, 235*l + 15 = -3*n + 238*l for n. -5 Solve -2*m - 9*m - 228 = 4*q, -3*q - 376*m = -381*m + 224 for q. -68 Solve -3*u - 3*h - 96 = 0, -201 = 8*u - 2*h - h for u. -27 Solve -3148*k + 3144*k = -5*r + 18, -18*r - k + 34 = 0 for r. 2 Solve 143*w + 61*w - 4*n + 14 = 202*w, -4*w - 3*n = 83 for w. -17 Solve 4*r + 8*p - 86 = -19*p, -4*r + 1921*p = 1923*p - 36 for r. 8 Solve 68763 - 68759 = v, 20*k + 9*v - 1016 = 0 for k. 49 Solve -2*j + 38 = 2*c, -1604*j + 1599*j - 4*c + 81 = 0 for j. 5 Solve 0 = -h - d - 11, -124 = -13*h + h + 5*d - 171 for h. -6 Solve -4*o - 3 - 2 = -5*s + 39 + 4 - 3, 44*o - 2*s - 194 = 0 for o. 5 Solve 0 = 4*a + 144, -d = -3*a - 115 + 5 for d. 2 Solve 107143*j - 3*n = 107139*j - 50, -5*j - 4*n + 46 = 0 for j. -2 Solve -2*o = 2*y - 8, 55*y + 44 = 33*y + 24*y + 11*o for y. 0 Solve 16*w - 7*w - 36 = 3*q, q + 22 = 7423*w - 7418*w for q. 3 Solve 2*g + 2434 - 1307 = -13*b + 1209, 16 = 5*g + b for g. 2 Solve -3*p - 8 + 66 + 5 = 3*z, 37 = 61*p + 5*z - 236 for p. 3 Solve -p = 4*c + 5, 15 = -50*c + 20*c - 3*p for c. 0 Solve 15 = 5*m + w, 2685*m = 2682*m - 4*w - 25 for m. 5 Solve 5*u - 51 = -3*w, 0 = -3*u - w + 7 + 29 - 15 for u. 3 Solve -3*q = 5*y - 20, 19768*q - 19771*q + y - 50 = -4*y for q. -5 Solve 1348*g - 64 = -1340*g + 2674*g + 2*y, -g + 12 = -2*y for g. 4 Solve 2*k + 30 = -4*o, 4*o + 39 = 210*k - 209*k for k. 3 Solve 3*j - 20*g + 32 - 110 = 0, 6*j - 7*g + 5*g = 46 - 4 for j. 6 Solve 3*r + 26*w = 110, -3*r - 2*r - 6 = 450*w - 454*w for r. 2 Solve 194*r + 197*r = q + 396*r - 46, -10 = -r for q. -4 Solve 0 = -2*x - 46*n - 1739 + 1787, 3*x - 2*n - 1 = 0 for x. 1 Solve 169*d = 2*v + 206*d + 33 + 195, v + 2*d + 15 = 0 for v. -3 Solve 158594 = g + 158591, 2*g + 54 = -6*r for r. -10 Solve -3*l - 2*l = -4*g + 22 - 13 + 25, -26*l - 82 = -5*g for g. 6 Solve -28 - 18 = l - 5*u - 31, 4*u = -7*l - 144 for l. -20 Solve -7*j + 2*w - 25 = -6*j, -29*w + 1271 = -75*j - 30*w for j. -17 Solve 0 = -2*x - 10*r - 1352, 400 = -67*x + 145*x - 73*x - 3*r for x. -1 Solve 0 = -4*a - x - 3*x - 24, 10*a + 358*x + 44 = 5*a + 351*x for a. 1 Solve 3*t + 2 = 2*l, 12023*t - 54 = 26*l + 12024*t for l. -2 Solve -3*x + 13 = -k, 171 = 4*k - 52*x + 383 for k. -1 Solve 118166*t + 25*r + 163 = 118163*t, t = -0*r - r - 3 for t. 4 Solve -4*r - 56 + 281 = 2*l - 115, 2*r = 4*r + 4*l - 182 for r. 83 Solve -22*n + 3*s + 246 + 69 - 79 = 0, -4*n + 54 = 5*s for n. 11 Solve -5*s - s - 2*s + 9 = 49, -5*s - 49 = 2*a + 6*a for a. -3 Solve 2263*k - 2288*k = -f + 329, 5*k + 85 = 5*f for f. 4 Solve -156 - 110 - 3 = 5*l - 5*g - 34, -3465 = 69*l + 5*g for l. -50 Solve 26 = -2*o - 2*s, -5*o + 4*s - 198 = -241 for o. -1 Solve 1522 + 815 = 26*o - 0*o - 2*w + 493, 0 = -5*o + 3*w + 352 for o. 71 Solve -3*o + 9*a = o + 529, 132*a - 63*a - 60*a = 339 + 210 for o. 5 Solve 7*x - w - 43 = 0, 60*w - 59*w = 7*x - 4*x - 6 - 21 for x. 4 Solve 6*t + 50 = -5364*r + 5360*r, 2*t + 12 = -r for t. 1 Solve 41*o + 33*y + 842 = 127*o + 30*y, 3*o - 54 = -4*y for o. 10 Solve 4*y = 6*f - 20, -5*y + 2*f + 858 = 883 for y. -5 Solve 0 = w - b - 34, 44 = -29*w + 34*w - 4*b - 124 for w. 32 Solve -16 = -4*g, -2*r + 25*g - 15 = 2*r + 38*g - 23*g + 1 for r. 6 Solve 4*u + 22 = -2*n - 0*u + 6, u - 3*u + 192 = -49*n for n. -4 Solve 2*l - 3*w + 14736 = 14712, 0 = 7*l + 3*w + 84 for l. -12 Solve 8*h + 32 = 0, -102*h - 2 + 3 = -a + 6*a - 106*h for a. -3 Solve 5*s = -5*t + 40, t - 21*s - 9 - 11 = -34 for t. 7 Solve 4*m + 3*h + 110 = 0, 5*m - 2*m + 42 - 37 + 40 = 2*h - 29 for m. -26 Solve -3*r - 4*s - 72 = 0, 268822*s - 126 = 268829*s for r. 0 Solve -5*h = -5*j + 75, -3*h = 1236*j - 1502*j + 571 for h. -13 Solve 26 = 23*q + 7*j, -5*j = -13*j - 2*j + 5*j + 35 for q. -1 Solve 3*k - 2*k - 7 = 4*h, -226*h + 247*h - 2*k = -40 for h. -2 Solve 12*u - 88 = 7*q - 5*q + 8, -6*u = q + 12 for q. -30 Solve -2 = -q - 18*g + 13*g, 18*g - 13*g = q - 2 for q. 2 Solve 8822*l = 8820*l + 5*j - 20, 7*l + 4*j = -113 for l. -15 Solve 55 = -5*v - 5*h, -2*v - 3*h - 3614 = -3582 for v. -1 Solve -5*v + 30 = 7*g, 200 = 5*v - 26300*g + 26341*g for v. -1 Solve -i + 32 - 60 - 72 = -5*b, 0 = b + 4*i + 1 for b. 19 Solve 2*n + v = -0*v + 153 - 178, -3*n - 4*v = 35 for n. -13 Solve 3*v + 5*d - 25 = 6*v - 76, -v + 0*d + 17 = 4*d for v. 17 Solve 0 = 3*z - 5*k - 33 - 10, -26891*z + 26888*z + 2*k = -19 for z. 1 Solve 19*n = 4*x + 84, -2*n + 128*x = 129*x - 6 for n. 4 Solve 10*g - 15*g + 142 = -4*g + 12*p + 19*p, -3*g + 3*p + 68 = 26 for g. 18 Solve l - 8*l + w + 1210 = 1181, 3*w - 9 = -3*l for l. 4 Solve -2*r - 7*k - 82719 = -82660, -3*r - 2*k = 46 for r. -12 Solve 3*y + 74 = w + 65, 4*w + 26*y + 17*y + 19 = 0 for w. 6 Solve -4*x + 5*l - 27 = 0, -87*x - 5*l = 79*x - 165*x - 12 for x. -3 Solve 6*w = w + 2*h - 28, h - 32 = -2*w for w. 4 Solve 3*h - 67 = -14*p, 0 = -29*h + 15*h + 16*h + 3*p - 32 for h. 13 Solve -i = 2*g + 15, g = 5*g - 182 + 182 for i. -15 Solve 0 = -j + 6*w - 1, 267*j = 263*j + 2*w - 4 for j. -1 Solve -2*i = 2*i + 52, -5379*o + 5350*o + 64 = 4*i for o. 4 Solve -g + 75*r = 71*r + 2, 18*g - 5*r = 232 for g. 14 Solve 31*k - 34*k + 7*j - j = -12, 0 = 16*j - 16 for k. 6 Solve 2*n = -c + 9, 9 = 209193*c - 209189*c - n for c. 3 Solve v - 13 = -5*x, 455*v - 458*v = -104 - 10 for x. -5 Solve 2171*a - v = 2167*a - 6, -11*v + 56 + 10 = 4*a for a. 0 Solve -9462*c - 3*i - 56 = -9457*c, 5*i = 9*c - 76 for c. -1 Solve -8*f = -3*x - 104, -68*f - 4*x = -66*f - 26 for f. 13 Solve 4*a = -2229168*o + 2229171*o + 13, 4*a - 21 = -5*o for a. 4 Solve 3*j - 25388 + 25355 = 3*b, 4*j + 3*b - 67 = -13*j for j. 5 Solve 0 = 5*j - 5*l + 130, 3752 = 5*j - 9*l + 3882 for j. -26 Solve x = -11*b + 61, -2*x + 57 - 43 = -5*b for x. 17 Solve -31*i + 256*k - 128*k + 2251 = 125*k, 4*i + 4*k = 308 for i. 73 Solve 3*c = -s + 7154 - 7161, -2*c = 3*s + 14 for s. -4 Solve -4*s - 2*g - 16 = -7*s, 3*s = 13*s - s + g - 13 for s. 2 Solve -2*h - x + 623 - 581 = -6*h, -5*h = 3*x + 44 for h. -10 Solve -22 = 123*z - 127*z + s - 12, 0 = -2*z - 5*s + 16 for z. 3 Solve 8*q + 5*q = -4*q - 3*m + 54 + 36, 2*q - 2*q - 3*m = 12 for q. 6 Solve 5*j = 13*w + 46, 4*j = -3*w - 2337276 + 2337286 for j. 4 Solve 2103*t - 13*v + 16817 = 35*v - 47*v, t + 2*v = -22 for t. -8 Solve -4*d + 174 = 34*c, -188*d + 23 = 4*c - 97*d - 88*d for c. 5 Solve -7*o = -b - 80, 10*b - 13*b = -0*b - 4*b - 7*o + 74 for b. -3 Solve 3829*n - 3826*n + 76 = 4*r, -6*r = -15*n - 366 for r. 1 Solve 16 = 5*n + c, -11*n + 18*n + 10*n + 2*c - 60 = 0 for n. 4 Solve 5*n - j = 79, -2*j = -78438*n + 78434*n + 68 for n. 15 Solve 0 = -2*l - 3*l - 6*n + 2*n + 8, -33*n + 8 + 1 = -36*n for l. 4 Solve -8*v + 4*v = -80*z + 90*z - 20, -v - 3*z = -6 for v. 0 Solve -24*o = 3*s + 1574 - 1577, -s = 4*o - 1 for s. 1 Solve 5*x = 2*t + 15, 10*t - 21*x - 24*x = -6*t - 44*x - 81 for t. -5 Solve 4*w + l + 58 = 0, w = -35*l - 709 - 1460 for w. 1 Solve 104953*t - 4*s = 104960*t + 38, 0 = 2*s + 12 for t. -2 Solve -d = 21 - 19, 4*d + 99 = -5*r + 116 for r. 5 Solve 2*m = 4*q + 14, 6*q = -8*m - 4*m - 6 for m. 1 Solve -4*x = -2*x - 13 - 15, 333*x + 106 = u + 9*u + 337*x for u. 5 Solve 4*z + 5*o - 9
{ "pile_set_name": "DM Mathematics" }
*2 Collect the terms in -2*h**2 + 8*h**2 + 18*h**3 - 2*h**2 - 98 - 17*h**3 + 22. h**3 + 4*h**2 - 76 Collect the terms in 54*f**3 + 29 - 29 + 95650137*f**2 - 95650137*f**2. 54*f**3 Collect the terms in 52*b - 123414 + 123414. 52*b Collect the terms in 1 + 858*w**2 - 1735*w**2 + 566*w**2. -311*w**2 + 1 Collect the terms in -74 + 421*c**2 - 47*c**2 + 64*c**2. 438*c**2 - 74 Collect the terms in 159*o**2 - 647*o**2 - 377*o**2 + 178*o**2. -687*o**2 Collect the terms in 42 + 1993*k**3 + 39 - k + 2*k**2 - k - 79 + 1842*k**3. 3835*k**3 + 2*k**2 - 2*k + 2 Collect the terms in -28650*d**2 - 14463*d**2 - 7086*d**2 + 7723*d**2. -42476*d**2 Collect the terms in 3807 + 529*u - 1905 - 1902 - 524*u. 5*u Collect the terms in 23 + 39 + 4*z - 10 - 40*z + 25*z. -11*z + 52 Collect the terms in 2*i**2 - 3*i**2 + 4900561398191 - 4900561398191. -i**2 Collect the terms in -13*x + 13*x - 47321*x**2 - 88099*x**2. -135420*x**2 Collect the terms in -23938*z**2 - 5767*z**2 - 11875*z**2. -41580*z**2 Collect the terms in 957*r**3 + 0 + 104*r**3 + 3 - 5 + 260*r**3. 1321*r**3 - 2 Collect the terms in -578*h**3 - 657*h**3 - 593*h**3 + 1845*h**3. 17*h**3 Collect the terms in -736991 - 35*j - 8*j + 736990. -43*j - 1 Collect the terms in 189998 - 63328 + 3*f - 63326 - 63344 - f. 2*f Collect the terms in -109715*j**2 + 371*j - 371*j + 114221*j**2. 4506*j**2 Collect the terms in 147 - 2*x**2 + 3*x**2 - 4*x**2 - 196 - 7*x**2. -10*x**2 - 49 Collect the terms in 5 - 597*p - 1038*p + 392*p - 504*p. -1747*p + 5 Collect the terms in -6337*c - 6350*c - 6465*c + 25492*c - 6339*c. c Collect the terms in -3291*z**3 + 511*z**3 - 2645*z**3 + 716*z**3 - 2135*z**3. -6844*z**3 Collect the terms in -211*y**2 + 238*y**2 - 6760*y**3 - 27*y**2. -6760*y**3 Collect the terms in -27 - 18 - 2*s**2 + 202*s**3 - 49*s**3 - 2*s**3 + 64*s**3. 215*s**3 - 2*s**2 - 45 Collect the terms in -423*l - 427*l - 431*l - 437*l - 666*l + 2389*l. 5*l Collect the terms in -299*n**2 + 1 + 131*n**2 - 450*n**2 + 164*n**2 - 1. -454*n**2 Collect the terms in -139*g**2 - 130*g**2 - 144*g**2 + 477*g**2 - 69*g**2. -5*g**2 Collect the terms in -6544158401 + 6544158401 - 7*y**3 - 59*y**2. -7*y**3 - 59*y**2 Collect the terms in -r + 220 - 5*r - 4*r - 62 + 32*r. 22*r + 158 Collect the terms in 10197*v**3 + 3788*v**3 + 10887*v**3. 24872*v**3 Collect the terms in 154807*n + 153116*n + 80802*n - 88286*n. 300439*n Collect the terms in 40*a - 29*a**2 - 115*a + 10*a**2 + 34*a + 43*a. -19*a**2 + 2*a Collect the terms in -3224353*v**2 - 43997*v + 87995*v + 3224358*v**2 - 43998*v. 5*v**2 Collect the terms in -1885*x**2 + 5608*x**2 - 1861*x**2 - 5*x**3 - 1862*x**2. -5*x**3 Collect the terms in 599*k**2 + 597*k**2 - 1920*k**2 + 617*k**2. -107*k**2 Collect the terms in 32633*f**3 + 0 - 124*f**2 - 32641*f**3 - 1 + 1. -8*f**3 - 124*f**2 Collect the terms in 12996206*h**3 - 145 + 145. 12996206*h**3 Collect the terms in 802315*l + 801971*l - 1604934*l. -648*l Collect the terms in -2540035*m**3 + 36 - 36 + 7149835*m**3. 4609800*m**3 Collect the terms in 464468*g**2 + 3*g - 7*g - 232217*g**2 - 232184*g**2 + 4*g. 67*g**2 Collect the terms in 13*s - 33*s + s - 16 + 18 - 3*s - 9*s. -31*s + 2 Collect the terms in 71*d**2 + 33*d**2 - 24*d**2 - 41*d**2 - 30*d**2. 9*d**2 Collect the terms in 1834*j**2 - 289*j**2 - 3479*j**2. -1934*j**2 Collect the terms in -23896*k + 43188*k - 19286*k. 6*k Collect the terms in 54043 - 54042 + 418*h**3 - 30*h**3. 388*h**3 + 1 Collect the terms in 10749*x**2 + 3*x - 3*x + 4621*x**2 - 1 + 18230*x**2. 33600*x**2 - 1 Collect the terms in 11*o**2 + 97*o + 84*o + 90*o + 1 - 13*o**2 - 246*o. -2*o**2 + 25*o + 1 Collect the terms in -247*c - 8*c**2 + 7*c**2 - 166 + 282*c. -c**2 + 35*c - 166 Collect the terms in -16 - 2269392*q + 1134653*q - 3*q**2 + 1134739*q. -3*q**2 - 16 Collect the terms in 76*h + 26325359 - 26325359. 76*h Collect the terms in 9020 - 3*y**2 - 15031 + 9821. -3*y**2 + 3810 Collect the terms in 1225340*j**2 - 1224944*j**2 + 0*j + 0*j. 396*j**2 Collect the terms in -15848 - 7*u + 8007 + 7841. -7*u Collect the terms in 2965*v - 594*v + 27 - 594*v - 591*v - 599*v - 595*v. -8*v + 27 Collect the terms in -6428*k**3 + 64015*k**2 - 64015*k**2. -6428*k**3 Collect the terms in -1898*o**3 + 7144*o**3 + 4120*o**3. 9366*o**3 Collect the terms in -4 + 34*z + 210*z + 120*z - 81*z + 156*z. 439*z - 4 Collect the terms in -19182704*m**2 + 38365531*m**2 - 19182826*m**2. m**2 Collect the terms in -73014*l - 68096*l - 73038*l + 214145*l. -3*l Collect the terms in -3830363*s + 1276778*s + 1276789*s + 1276790*s. -6*s Collect the terms in -6197*h**3 - 7226*h**3 - 19956*h**3. -33379*h**3 Collect the terms in -148*w - 10647*w - 6235*w. -17030*w Collect the terms in 97*h + 417*h - 118*h - 6 + 256*h - 51*h. 601*h - 6 Collect the terms in -10*a + 13001 + 20642 - 5*a + 17*a. 2*a + 33643 Collect the terms in -32673*s + 2461*s - 8145*s - 10003*s. -48360*s Collect the terms in 1 - p**2 + 14*p + 1 - 3*p - 2*p. -p**2 + 9*p + 2 Collect the terms in -2137*h - 2471*h + 5774*h. 1166*h Collect the terms in 218 - l + 0*l + 13 - 109 + 336. -l + 458 Collect the terms in 42 + 48 + 43 - 133 + 285*v**2. 285*v**2 Collect the terms in 44 + 829*l + 1599*l - 580*l. 1848*l + 44 Collect the terms in 27 + 624043918*r - 1248087831*r + 624043911*r. -2*r + 27 Collect the terms in -6*l**3 - 417 + 10*l**2 - 10*l**2 - 423. -6*l**3 - 840 Collect the terms in -111752*d**2 - 1 + 55751*d**2 + 55848*d**2. -153*d**2 - 1 Collect the terms in 5121*d**3 - 923*d**3 + 0 - 4201*d**3 - 3. -3*d**3 - 3 Collect the terms in 11920*j + 3*j**3 - 5894*j - 6016*j + 3*j**3. 6*j**3 + 10*j Collect the terms in -4893718822*d - 3 - 4893718820*d + 9787437643*d + 3. d Collect the terms in 2*z - 3*z + 0*z - 86462*z**2 - 2. -86462*z**2 - z - 2 Collect the terms in -19*l - 9 + 9 + 5205*l**2 - 10397*l**2 + 5195*l**2 + 19*l. 3*l**2 Collect the terms in 5498380*t**2 - 2*t + 0*t - 2749204*t**2 - 2749202*t**2 + 2*t. -26*t**2 Collect the terms in 312*x**2 + 324*x**2 - 82*x + 317*x**2 - 1272*x**2 + 315*x**2. -4*x**2 - 82*x Collect the terms in -1072*r + 966*r + 83*r. -23*r Collect the terms in -14 + 0*l**2 + 18*l**2 - 12*l**2 - 3*l**3 + 17*l**2 + 7*l**2. -3*l**3 + 30*l**2 - 14 Collect the terms in 26*p**2 - p**3 - 25*p**2 + 4783 + 21*p**3 - 4783. 20*p**3 + p**2 Collect the terms in -230*w**2 + 42*w**2 + 32*w**2 + 46*w**2 + 53*w**2 + 43*w**2. -14*w**2 Collect the terms in 1847*p**2 + 47*p + 2309*p**2 + 19*p + 16*p. 4156*p**2 + 82*p Collect the terms in 1196*n**2 + 16 + 26 + 22 - 28 - 36. 1196*n**2 Collect the terms in -1517*i**2 + 312 + 409*i**2 - 312. -1108*i**2 Collect the terms in -110582138*o**3 + 55291065*o**3 + 55291070*o**3. -3*o**3 Collect the terms in 719*d + 8*d**3 - 2183*d + 751*d + 2 + 713*d. 8*d**3 + 2 Collect the terms in -292*r**3 + 281*r**3 - 12*r**3 + 44*r**3. 21*r**3 Collect the terms in -40 - 26*n**2 + 40 - 10379*n + 20694*n - 10315*n. -26*n**2 Collect the terms in -8532*r**2 - 51610*r**2 - 6055*r**2 - 33135*r**2. -99332*r**2 Collect the terms in 63095*w - 126342*w + 63151*w. -96*w Collect the terms in 824*s + 1 - 19*s**3 - 1292*s + 418*s. -19*s**3 - 50*s + 1 Collect the terms in 15 - 15 - 1035*k**3 + 3041*k**3 - 988*k**3 - 1000*k**3. 18*k**3 Collect the terms in -215*p**2 - 147 + 155 - 91*p**2. -306*p**2 + 8 Collect the terms in 22 - 8 - 616*c**2 - 19 + 5. -616*c**2 Collect the terms in -1759*a + 1248*a**3 + 2279*a**3 + 1759*a. 3527*a**3 Collect the terms in 6 + 112*i**3 - 102*i**3 - 21 + 7 + 8. 10*i**3 Collect the terms in -m**2 - 618*m**3 - 609*m**3 + 1843*m**3 - 6*m**2 - 619*m**3. -3*m**3 - 7*m**2 Collect the terms in -6 + 79518354*a + 6 - 79518370*a. -16*a Collect the terms in -3*g**3 - 6*g**3 - 590596 + 592438. -9*g**3 + 1842 Collect the terms in 92713376203*r - 3*r**2 - 92713376203*r. -3*r**2 Collect the terms in -179*b + 703 + 431*b - 698 - 110*b. 142*b + 5 Collect the terms in -q**2 - 201889*q**3 + 5*q**2 - 4*q**2 + 100935*q**3 + 100938*q**3. -16*q**3 Collect the terms in 2*u**3 + 25623195*u**2 + u - 25625898*u**2 - u. 2*u**3 - 2703*u**2 Collect the terms in 2 - 14 + 10 + 47257*w + 2. 47257*w Collect the terms in 161390*s**2 - 322412*s**2 - 2*s + 161564*s**2. 542*s**2 - 2*s Collect the terms in 1381*v**2 - 36805 + 36805 - 1378*v**2. 3*v**2 Collect the terms in 6*r - 2 + 171*r - 3 - 1
{ "pile_set_name": "DM Mathematics" }
be s/(-6) + 6/9. Let f = 11 - a. Is 5 > f? True Let j = -8 - -8. Suppose -4*p + p = j. Which is greater: p or -2? p Let a = -1.9 + 2. Let b = -6 - -5.86. Let w = -0.06 + b. Is w <= a? True Let j = -3 - -1. Let i(r) = -r**2 - r + 1. Let m be i(j). Let k be ((-1 + -7)/2)/9. Is k < m? False Let g = -1.1 - 4.9. Let z = g - -1. Let a = 5 + z. Is 3 smaller than a? False Let g be ((-2)/16)/(15/(-6)). Which is greater: g or -1? g Suppose -4 = 4*p - 0*p. Let m be 6/9*-1 - p. Let b = 7/15 - m. Which is bigger: b or -1? b Let a = -20 + 22. Let w = 9 + a. Which is greater: 1/3 or w? w Let v = 0 - 0. Suppose -4*i - 5*b = -27, v + 15 = 4*i + b. Suppose 5*m = -i*c, m = 4*m + 2*c. Which is smaller: 1/5 or m? m Let q = -18/23 - -815/1012. Let r = q - 47/132. Is r at most as big as -0.08? True Let r = 39 - 39.09. Is r equal to 2? False Let g = -65727 - -31746185/483. Let y = 1/21 - g. Are y and 1 equal? False Let y = -210 - -208.89. Let v = 0.11 + y. Which is greater: v or 0.09? 0.09 Suppose -2 = -2*t + 2. Suppose -3*c + u = -1, -3*c - 7 = t*u - 23. Let q(k) = k**3 - 5*k**2 + k - 2. Let p be q(5). Which is smaller: p or c? c Let c = -10 + 11. Let z be (-1 + c)/(4 + -2). Let t be 1 + -2 + (-1 - -1). Which is bigger: t or z? z Let z = 7.97 - -0.03. Let s = z + -10. Which is smaller: 3/4 or s? s Let r(l) = -l**2 - 4*l. Let i be r(-4). Suppose i = w + w. Which is greater: -1 or w? w Let y = 7 + -15. Which is smaller: y or 1? y Let r = -10 + 14. Let i(d) = 4*d + d**3 - 5*d**2 + 4*d - 5 - 3*d. Let q be i(r). Is -1/8 less than or equal to q? False Let f = 108851/343096 + 2/42887. Let c = f + -5/26. Let z = -23 - -22. Is c < z? False Let f = -6.9 + 0.9. Let m = -5 - f. Which is smaller: m or 2? m Suppose -3*q = -2*m + 10 + 7, q + 4*m - 13 = 0. Suppose 4 - 20 = -s. Suppose -v - 3 = 2*v, -4*v - s = 3*u. Is q > u? True Suppose -5*s + 15 + 55 = 5*k, -5*k = -5*s + 50. Suppose -14*n = -s*n. Does 0 = n? True Let m = -3 + 3.07. Let c = m + 0.03. Which is smaller: c or 2/11? c Let f = -34.9 - -35. Which is greater: -0.03 or f? f Let o = -0.03 + 0.33. Let a = -4.5 + 4. Let v = a + o. Which is smaller: -2 or v? -2 Let x be (2/5)/(17/(-1190)). Are -29 and x nonequal? True Let j = 15.7 + -12.7. Which is bigger: -4 or j? j Let f = -6/77 + 4/11. Let s = -15 - -16. Is f at most as big as s? True Let c = -0.2 + 0.1. Let b = c + 8.1. Let o = 8.2 - b. Are o and -0.3 equal? False Let i(v) = 69*v + 4. Let f be i(-4). Let z be ((-60)/f)/(2/2184). Let d = z + -241. Is d smaller than 1? True Let x(c) = -c - 12. Let v be x(-11). Let f be -2*(-2)/4*v. Is -1/16 less than f? False Let w = 323/7 - 46. Let q = -0.08 + 0.19. Let k = q - 0.11. Is k at least w? False Let b = 991 - 131804/133. Which is bigger: 0 or b? 0 Let t(p) = -p**2 + p - 3. Let m be t(0). Which is smaller: -4 or m? -4 Let m(c) = c**3 + 5*c**2 + 4*c + 2. Let j(v) = v**2 - 7*v - 4. Let l be j(7). Let z be m(l). Let b = z + -4. Which is smaller: b or -1? b Let q = 67/3 + -22. Do q and 0 have different values? True Let j = -11 - -16. Let q be j - 3 - (0 - -4). Which is greater: 0.9 or q? 0.9 Let u(x) = x**2 + 6*x - 6. Suppose -3*d = -d + 14. Let y be u(d). Let p = -3 - -4. Is p at most y? True Let q be 6/45 + (-48)/225. Is q < 1? True Let q(v) = 5*v + 5. Let j(w) = -w - 1. Let r(k) = 6*j(k) + q(k). Let x be r(-1). Is -2/37 at least as big as x? False Let p = -793 - -5561/7. Suppose 0 = -0*q + q. Are p and q nonequal? True Let a = 30 + -3. Suppose -4*m + 25 = -a. Do m and 12 have different values? True Let i(x) = x**3 - 5*x**2 - 7*x + 8. Let v be i(6). Let k = 10 + -7. Let n = k - 2. Is n smaller than v? True Let c = 5/2 - 2. Let u = 0.3 - -0.7. Which is bigger: u or c? u Let a = 37 - 38. Which is greater: a or 12/13? 12/13 Suppose -7*u = -28 - 210. Which is bigger: 33 or u? u Let s be 1/(-3 - -1)*2. Let z be 9/(-15) + (-4 - -5). Is s > z? False Let j = -1 + 2. Let d = -0.146 + 0.076. Which is smaller: d or j? d Let o be (-4)/10 - 62/(-30). Let x = -39 - -41. Are o and x equal? False Suppose -2*d = 4*c + 14, 2*c + 2*c - 7 = 5*d. Let y = 2 + 2. Let w(k) = k**3 - 4*k**2 - 4. Let a be w(y). Which is greater: a or d? d Let d = 9 - 11. Let g = d + 2. Which is smaller: g or 3? g Let g = 6.3 - 1.3. Which is greater: -1 or g? g Suppose -r + 5*t = -6, -2*t + 47 = 4*r + t. Suppose 16*o = r*o - 5. Is o equal to 1/9? False Let w be ((-2)/(-5))/(2/30). Is w at least as big as 8? False Let n(s) = s**2 - 5*s + 4. Let x be n(3). Which is smaller: x or -2/5? x Let h = -41/36 + 5/4. Which is smaller: -1 or h? -1 Let g be -22 + (-1 - (-4)/(-2)). Which is smaller: g or -24? g Let f = -21 - -22. Which is bigger: f or 15? 15 Let h = -1 + 2. Let u = 5/3 - 7/6. Is u != h? True Let m be 52/(-16) + (-2)/(-8). Does m = -5? False Let q = -1.31 - -1.23. Is 1/4 at most as big as q? False Let l = 9 - 0. Is l < 11? True Let t be (-18)/(-4)*(-8)/3. Let q = 13 + t. Is q less than 6/7? False Let t be 0*(-2)/8*2. Suppose -3*k = -4*k + 3. Which is smaller: k or t? t Let j(a) = a**3 + 4*a**2 + a - 1. Let i be j(-3). Let d be (-1)/(-1)*(3 - i). Let s be d/6 + 3/9. Is 0 < s? False Let u = 1.3 - -0.7. Let h = 1 - u. Is h bigger than -3/8? False Let w(f) = f**2 - 16*f - 23. Let s be w(17). Which is greater: s or -4? -4 Let j = -1 - 6. Is -7 >= j? True Let d(i) = -i**2 - 10*i - 4. Let w be d(-9). Suppose 39 - 14 = 2*z - w*l, -5*z + 80 = 5*l. Is z at least as big as 14? True Let m = 36 + -38. Are 1.4 and m unequal? True Let k(m) = -m**2 - 4*m + 13. Let q be k(-6). Which is greater: -10/7 or q? q Let a = 11 - 20. Is 0.1 < a? False Let k = 246/377 + -10/29. Which is smaller: k or 1? k Let d be 2 - 2 - (-4)/10. Let s = 213 - 214. Is d smaller than s? False Let w be ((-5)/2 + 3)/((-9)/(-18)). Which is bigger: 1/172 or w? w Suppose 0 = -5*b + z - 1 - 18, 0 = -4*b - 3*z. Suppose s = 3*n + 16, -2*n - 8 + 4 = s. Let r = s + b. Is r greater than 2? False Let f be (3/(3/4))/2. Let g be ((-3)/f)/(3/(-6)). Suppose -2*j = -2*w - 2, -w - 3 = -3*j - g*w. Which is greater: j or 0? j Suppose 3*v - 4*g = -v - 8, g - 2 = 4*v. Let i be (-119)/(-39) + v + -3. Is i greater than 0? True Let g be (0/(-2))/(1/(-1)). Suppose -3*q = -4*q + 2*x + 13, 3*q + 2*x + 1 = 0. Let j = q + -2. Is j equal to g? False Let w(b) = -29*b + 1. Let h be w(5). Let y be ((-2)/4)/(8/h). Is 17/2 smaller than y? True Let l = -0.22 - -0.19. Which is bigger: -1 or l? l Let f be -8*2/(-16)*-92. Is f at most 1? True Let d = 146589 - 10554203/72. Let z = d - 21/8. Which is smaller: z or -1? -1 Let n = -1 - -7. Let s be n/(-2)*1 + 0. Is s at most as big as -2? True Let r(x) = 2*x**2 + 25*x - 10. Let d(t) = -3*t**2 - 38*t + 15. Let v(a) = 5*d(a) + 8*r(a). Let n be v(-11). Which is smaller: n or 7? n Let x = 40 - 19. Is 0 equal to x? False Let j = 0.3 + -0.3. Let q = -1 + 1.4. Which is bigger: j or q? q Let k = 74 - 73. Which is greater: k or -18? k Let l = -51 - -31. Which is bigger: l or -21? l Let s(c) = 2*c - 7. Let i be s(7). Let j be 27/(-21) - (-2)/i. Let h = j - 0. Which is smaller: h or 1/8? h Suppose 0 = 2*f + 4*b - 22, -b - 32 = -4*f + 3*b. Let g be (-19)/24 - (-6)/f. Is g less than or equal to 1? True Let t be ((-10)/9 + 1)*2. Let p = -315.1 + 303. Let k = p - -12. Is k less than or equal to t? False Let i = -1 - -2. Let l = 131.85 + -135. Let r = -0.15 - l. Is i at most r? True Let n be (18/(-63))/((-1)/14). Suppose -n*f + 3*v - 19 = 0, 2*f + 4*v - 10 = 8. Which is bigger: -1/21 or f? -1/21 Let k = -49 - -53. Is k at most 12? True Suppose -3*o - 2*h + 2 + 6 = 0, 4*h = -20. Let u be (-8)/(-126) - o/21. Are -1/3 and u equal? False Suppose 0 = -5*p + 3*u + 35, 3*p - 51 = 5*u - 14. Suppose m + 16 - 1 = p*f, 4*f = 2*m + 10. Suppose f = r + 5*q, 5*r = -3*q + 1 + 2. Which is greater: r or -1? r Let b(g) = -g**2 - 7*g - 8. Let r be b(-5). Is r smaller than 17/8? True Let n = -1.9 - -2. Let j be (-23)/77 + 6/21. Let r = j - -81/308. Which is bigger: r or n? r Let q be 3 - ((-69)/(-21))/1. Is -1 at least q? False Let w = -21 + 34. Which is greater: 12 or w? w Let k be ((-16)/3)/((-24)/(-36)). Is -4 at most as big as k? False Let z be 2/(-6) + (-2)/(-6). Suppose z = 2*n - 4 - 0. Suppose 0 = n*c - c + 5. Are c and -5 equal? True Suppose 16 + 12 = -2*w. Let y be 4/w - (-27)/21. Let l = 3 - 3. Is y > l? True Suppose 0 = 2*r + 4, -
{ "pile_set_name": "DM Mathematics" }
15 Suppose 3*n + 3*i = 6*i - 48, 38 = -2*n - i. Let s = n + 23. Suppose -s*l = -0*l + 400. What is l rounded to the nearest one hundred? -100 Let g = 18564.63 - 18474. Let s = -69.7 + g. Let t = -21.9 + s. Round t to 1 dp. -1 Let t = 0.15 + 9.85. Let z = -9.9935 + t. What is z rounded to 3 dps? 0.007 Let q = -17.4 + -3.4. Let s = q + 20. What is s rounded to 1 decimal place? -0.8 Let a = 103.98249 + -104. Round a to three dps. -0.018 Let a(n) = -18*n + 14. Suppose 6*d - 40 - 38 = 0. Let c be a(d). Round c to the nearest 10. -220 Let b = 1.5 + -13.5. Let s = b + 11.99979. Round s to four dps. -0.0002 Let m be ((-7518)/30 - (-9)/15)*-19672. Round m to the nearest 100000. 4900000 Let q = -0.662 + 7.937. Round q to the nearest integer. 7 Let q = -0.081 - 0.063. Let u = 0.064 + q. What is u rounded to 2 decimal places? -0.08 Let k = -2861.0003223 + 2861. What is k rounded to 5 decimal places? -0.00032 Let g = 15 - 13. Let b be ((-3)/(-4))/(g/(-16)). Let q be -380*3/b*-10. What is q rounded to the nearest 1000? -2000 Let l = -9.168919 + 9.2308. Let d = l + -0.062. Round d to five dps. -0.00012 Let p = 28563138 - 28562769.00442. Let u = -369 + p. Round u to 4 dps. -0.0044 Let p be (-3 + (-7)/(-2))*4. Suppose 0*m - p*m = -y + 10, -6 = 3*y + 3*m. Suppose 4*x - y*x = 0. Round x to five decimal places. 0 Suppose 5*g = 3*d - 0*d + 940, 0 = -2*g + d + 377. What is g rounded to the nearest one hundred? 200 Let g = -3417 + 3416.99996698. What is g rounded to five dps? -0.00003 Let g(l) = 3 + 419999*l**3 + 8*l - 10*l - 5 + 0 + l. Let d be -1 - 0*(-3 - -2). Let j be g(d). Round j to the nearest one hundred thousand. -400000 Let o = -0.53500807 - -0.535. What is o rounded to six decimal places? -0.000008 Let l = 71 - 70.9641. Let p = 0.047 - l. Round p to 2 dps. 0.01 Let m = 505 + -507.5. Round m to the nearest integer. -3 Let o = 257.841 + -258. What is o rounded to two decimal places? -0.16 Let g = 151.997495 - 152. What is g rounded to 4 decimal places? -0.0025 Let r = -0.09 + -2.91. Let m = -3.01 - r. Let t = -0.010066 - m. What is t rounded to 5 decimal places? -0.00007 Let v(h) = 12953*h - 3. Let q be v(3). Let b = q + 117129. Suppose -b = 4*p + 4*k + k, -4*p + 3*k = 156009. What is p rounded to the nearest ten thousand? -40000 Let l = 0.118 - 69.118. Let s = l + 57.2. What is s rounded to the nearest integer? -12 Suppose o = -4*w + 26, 2*w + 2*w - 14 = o. Suppose -50 + 2 = -o*a. Suppose j + 690004 = 3*d, 3*d - a*j = -4*j + 690016. What is d rounded to the nearest 100000? 200000 Suppose -w - 31 = -5*n, -3*w - 21 = n - 4*n. Let p be (-18101634)/(-15) + n/15. Suppose p = 5*s + 431776. What is s rounded to the nearest 10000? 160000 Let v = 1018.382 + -1017. Let d = v + -0.042. What is d rounded to 1 dp? 1.3 Let w = -3.25 - 38.85. Let a = w - -83.4. What is a rounded to 0 decimal places? 41 Let o = -15.43 - -15.429996476. What is o rounded to six decimal places? -0.000004 Let t = 0.144 + -37.144. Let c = t - -37.09. Round c to 1 decimal place. 0.1 Let j = 13 - 13. Let p = j + 1.9. What is p rounded to the nearest integer? 2 Let x(z) = -41*z**3 - z - 1. Let a(t) = -t**2 + 13*t - 2. Let y be a(13). Let h be x(y). What is h rounded to the nearest one hundred? 300 Let a = -2.5943 - -2.474. Round a to 2 dps. -0.12 Let x(q) = -3216*q**2 + 5*q - 9. Let p = 4 - 9. Let z be x(p). Let k = z + -72566. Round k to the nearest ten thousand. -150000 Let l = -1739931633 - -1012586771. Let j = -727344853.70000057 - l. Let z = j + -8.3. What is z rounded to seven decimal places? -0.0000006 Let g = 1.55 - 1.772. Let x = g + 0.2063. Round x to 3 decimal places. -0.016 Suppose -4*r + 2*r - 3468 = 0. Let a = r + -34836. Let f = a + 11370. Round f to the nearest one thousand. -25000 Suppose -5*g - 39181 = -6*g. Let c = 103819 + g. What is c rounded to the nearest ten thousand? 140000 Let r = -4.065 - -4. Let v = 725.9397 + -726. Let d = v - r. Round d to 3 dps. 0.005 Suppose -3865 = 3*s - 803815. Let l be (6/(-5))/((-10)/s). Suppose -c - o + 0*o = l, -c + 3*o = 32006. What is c rounded to the nearest 10000? -30000 Let v be 7812014/105 + (94/(-30) - -3). Round v to the nearest 10000. 70000 Let o = -6 + 15. Let b = -7.8 + o. Let f = b - 1.45. Round f to 1 dp. -0.3 Let d(x) be the third derivative of 56*x**6/5 + 7*x**5/60 - 3*x**4/8 - x**3/3 - 5*x**2. Let w be d(-6). What is w rounded to the nearest one hundred thousand? -300000 Let n = 49 - 49.034. Let i = n + -10.466. What is i rounded to zero decimal places? -11 Let g = 0.95 + -0.53. Let l = g + -0.265. Let q = 0.11 - l. Round q to 2 decimal places. -0.05 Let i = 0.13318 - 0.127043. Round i to 4 decimal places. 0.0061 Let a(q) = 23844*q - 420. Let d be a(55). Round d to the nearest one hundred thousand. 1300000 Let r = 3.306 - 3.23. Let j = 94.5 - 94.5854. Let f = j + r. Round f to 3 dps. -0.009 Let z = 342.000526 + -342. Round z to 5 dps. 0.00053 Let r = -1276 + -340. Round r to the nearest one hundred. -1600 Let m = -571.99998052 + 572. Round m to 6 decimal places. 0.000019 Let g = -1677 - -1677.000773. What is g rounded to 3 decimal places? 0.001 Let y = 12 + -2. Let h = y + -16. Let f = h + 6. What is f rounded to one dp? 0 Let a = -107.9441682 + 0.9428282. Let h = a - -107. What is h rounded to four decimal places? -0.0013 Let z be (-4)/(-8) - (-2)/(-4). Let d be 0 + (-3 + 1)*(-6)/4. Suppose a - d*a + 104000 = z. What is a rounded to the nearest 10000? 50000 Let b = 568639.4999424 - 568631. Let r = 8.5 - b. What is r rounded to 5 dps? 0.00006 Suppose -21 = -3*v + 4*v. Let r be (-2487)/v + 6/(-14). Round r to the nearest 10. 120 Let r = 4981 - 4568.7. Round r to the nearest one hundred. 400 Let q(p) = 651*p**3 + 3*p**2 - 5*p - 4. Suppose -3*j - 2 = 10. Let m be q(j). What is m rounded to the nearest 10000? -40000 Let l(v) = -54*v**3 + 4*v**2 - 11*v - 5. Let f = -18 - -13. Let o be l(f). What is o rounded to the nearest 1000? 7000 Let w = 2.54 - 0.52. Let s = -1.873 + w. Round s to 2 dps. 0.15 Let d = 8411 - 1851. Round d to the nearest one thousand. 7000 Let z = 5452 - 5451.9997369. Round z to four dps. 0.0003 Let j = 0.86 - 0.06. Let q = j + -0.94. Let p = q + 0.14012. What is p rounded to 4 decimal places? 0.0001 Let c = 0.5855721 - -2.9144341. Let q = 3.48 - -0.02. Let l = c - q. Round l to 6 decimal places. 0.000006 Let v = 42273384.023813 - 42273401. Let f = -0.243713 + v. Let d = 17.2 + f. What is d rounded to three decimal places? -0.02 Suppose -3*q - 2188 = -2*a + 1682, 0 = -3*a - 5*q + 5767. What is a rounded to the nearest 100? 1900 Let p = -18.18 - -0.18. Let h = 111.8567 - 93.85674. Let l = h + p. Round l to 5 decimal places. -0.00004 Let z = 0.022659 - -0.197351. Round z to 3 dps. 0.22 Let m = -3731906276613233 - -3731906443562978.00000056. Let i = 166949751 - m. Let z = -6 + i. Round z to seven dps. -0.0000006 Let c = -33.94 + 36.5272. What is c rounded to one dp? 2.6 Let g = -1.53 - 20.17. Let x = -0.9 + g. What is x rounded to the nearest integer? -23 Let o(i) = -i - 3. Let r be o(-6). Suppose -62824 = -r*j + 81176. Let u be j*(0 + 8/(-6)). Round u to the nearest 10000. -60000 Let j = -4953 - -4952.4682. Round j to one dp. -0.5 Let x be (4 - (-4 - -3)) + (-2 - -1503997). Round x to the nearest one hundred thousand. 1500000 Let i = 1121 + -1121.000165. What is i rounded to six decimal places? -0.000165 Let p = -302.0438 + 0.0438. Let h = p + 176. Let v = 153.2 + h. Round v to zero decimal places. 27 Let z = 6 + -3. Suppose -4*c = 3*q - 217, z*c - q - 147 = 2*q. Round c to the nearest ten. 50 Let r(u) = -u**3 - u**2 - 4*u - 283500. Let c be r(0). What is c rounded to the nearest ten thousand? -280000 Let s = 16587.3 + -15717. Round s to the nearest ten. 870 Let z(o) = o + 15. Let h be z(-12). Suppose w - 12113123 = 2*j + 36086878, -w = h*j + 72299999. What is j rounded to the nearest 1000000? -24000000 Let c = -5347174 - -9897174. What is c rounded to the nearest one million? 5000000 Let m = 34012 - 33772.49. Let h = m - 241. Let k = h + 1.49000258. What is k rounded to seven decimal places? 0.0000026 Let v = 87 - 86.88. Let g = v + 10.38. Round g to the nearest integer. 11 Let c = 284.999441 - 285. What is c rounded to five dps? -0.00056 Let o = -1.3 + -63.7. Let z = -23 - o. Let p = z - 38.4. What is p roun
{ "pile_set_name": "DM Mathematics" }
e there between 4:18 AM and 8:44 AM? 266 What is 636 minutes before 11:05 AM? 12:29 AM How many minutes are there between 4:09 PM and 8:15 PM? 246 How many minutes are there between 4:11 AM and 5:54 AM? 103 How many minutes are there between 9:39 PM and 6:34 AM? 535 What is 675 minutes after 2:49 PM? 2:04 AM What is 103 minutes before 12:40 PM? 10:57 AM How many minutes are there between 2:20 PM and 12:16 AM? 596 What is 406 minutes after 8:47 AM? 3:33 PM What is 576 minutes after 2:11 PM? 11:47 PM How many minutes are there between 8:56 AM and 7:35 PM? 639 How many minutes are there between 11:21 AM and 4:38 PM? 317 How many minutes are there between 6:07 AM and 6:51 AM? 44 What is 166 minutes before 5:49 PM? 3:03 PM What is 194 minutes after 9:55 PM? 1:09 AM How many minutes are there between 2:33 PM and 8:33 PM? 360 What is 373 minutes after 9:07 PM? 3:20 AM What is 454 minutes before 11:51 AM? 4:17 AM How many minutes are there between 9:10 AM and 7:41 PM? 631 What is 304 minutes before 9:32 PM? 4:28 PM How many minutes are there between 6:52 PM and 1:32 AM? 400 How many minutes are there between 5:03 AM and 6:05 AM? 62 What is 56 minutes after 7:55 PM? 8:51 PM How many minutes are there between 6:23 PM and 7:11 PM? 48 How many minutes are there between 9:34 PM and 12:29 AM? 175 How many minutes are there between 10:11 AM and 9:23 PM? 672 How many minutes are there between 7:28 PM and 3:06 AM? 458 What is 42 minutes after 11:08 PM? 11:50 PM How many minutes are there between 1:24 PM and 5:33 PM? 249 What is 467 minutes before 8:10 AM? 12:23 AM What is 249 minutes before 11:15 PM? 7:06 PM What is 54 minutes before 2:15 AM? 1:21 AM How many minutes are there between 2:19 AM and 9:15 AM? 416 How many minutes are there between 1:53 PM and 3:37 PM? 104 What is 652 minutes before 1:20 PM? 2:28 AM What is 96 minutes after 2:25 PM? 4:01 PM How many minutes are there between 6:02 AM and 3:57 PM? 595 How many minutes are there between 8:35 AM and 3:14 PM? 399 How many minutes are there between 5:03 AM and 4:47 PM? 704 How many minutes are there between 1:37 AM and 12:20 PM? 643 What is 2 minutes after 1:53 PM? 1:55 PM What is 107 minutes before 5:22 PM? 3:35 PM How many minutes are there between 4:22 AM and 5:18 AM? 56 What is 697 minutes before 7:10 PM? 7:33 AM What is 428 minutes before 7:27 AM? 12:19 AM How many minutes are there between 4:53 AM and 5:04 AM? 11 How many minutes are there between 3:08 PM and 2:48 AM? 700 How many minutes are there between 2:15 PM and 4:02 PM? 107 How many minutes are there between 11:38 AM and 7:01 PM? 443 What is 514 minutes after 6:22 AM? 2:56 PM What is 104 minutes after 10:07 AM? 11:51 AM What is 48 minutes before 4:36 PM? 3:48 PM What is 366 minutes after 10:13 AM? 4:19 PM How many minutes are there between 1:10 AM and 11:02 AM? 592 What is 172 minutes after 5:35 PM? 8:27 PM How many minutes are there between 4:47 PM and 12:06 AM? 439 How many minutes are there between 3:53 PM and 10:54 PM? 421 What is 345 minutes before 8:33 AM? 2:48 AM How many minutes are there between 10:51 PM and 1:03 AM? 132 How many minutes are there between 11:27 AM and 9:23 PM? 596 What is 309 minutes before 9:52 PM? 4:43 PM What is 573 minutes before 6:03 PM? 8:30 AM What is 376 minutes before 8:35 PM? 2:19 PM What is 420 minutes after 5:32 AM? 12:32 PM What is 707 minutes before 1:40 PM? 1:53 AM What is 154 minutes before 4:20 AM? 1:46 AM What is 526 minutes before 3:43 PM? 6:57 AM How many minutes are there between 8:43 AM and 6:54 PM? 611 How many minutes are there between 4:02 PM and 11:35 PM? 453 What is 715 minutes after 2:48 AM? 2:43 PM How many minutes are there between 8:22 PM and 12:46 AM? 264 How many minutes are there between 2:20 AM and 7:52 AM? 332 What is 252 minutes after 5:40 PM? 9:52 PM What is 488 minutes after 2:32 PM? 10:40 PM How many minutes are there between 6:09 AM and 3:51 PM? 582 What is 472 minutes before 2:21 AM? 6:29 PM How many minutes are there between 9:46 PM and 8:43 AM? 657 How many minutes are there between 3:29 AM and 10:33 AM? 424 What is 353 minutes after 10:34 PM? 4:27 AM How many minutes are there between 4:27 AM and 8:18 AM? 231 How many minutes are there between 6:37 AM and 4:21 PM? 584 How many minutes are there between 12:56 AM and 10:20 AM? 564 How many minutes are there between 10:40 PM and 11:49 PM? 69 How many minutes are there between 6:19 PM and 10:17 PM? 238 What is 463 minutes after 5:14 AM? 12:57 PM What is 260 minutes before 2:33 PM? 10:13 AM What is 589 minutes before 12:33 AM? 2:44 PM What is 20 minutes after 6:42 AM? 7:02 AM What is 249 minutes after 1:03 AM? 5:12 AM What is 398 minutes before 6:03 PM? 11:25 AM What is 243 minutes before 5:47 PM? 1:44 PM What is 107 minutes after 6:00 AM? 7:47 AM What is 98 minutes after 3:17 PM? 4:55 PM How many minutes are there between 2:34 AM and 12:46 PM? 612 What is 680 minutes before 8:31 PM? 9:11 AM What is 514 minutes after 1:54 AM? 10:28 AM What is 420 minutes after 10:16 PM? 5:16 AM How many minutes are there between 2:17 AM and 11:50 AM? 573 How many minutes are there between 12:20 PM and 1:13 PM? 53 What is 463 minutes after 6:57 AM? 2:40 PM What is 620 minutes after 2:49 PM? 1:09 AM How many minutes are there between 4:18 AM and 1:06 PM? 528 How many minutes are there between 7:21 AM and 10:36 AM? 195 How many minutes are there between 1:51 AM and 12:01 PM? 610 How many minutes are there between 9:30 AM and 10:46 AM? 76 How many minutes are there between 9:14 PM and 12:09 AM? 175 What is 691 minutes before 9:31 AM? 10:00 PM What is 644 minutes after 8:46 PM? 7:30 AM What is 12 minutes before 6:46 PM? 6:34 PM What is 354 minutes after 6:35 AM? 12:29 PM What is 170 minutes after 10:29 PM? 1:19 AM How many minutes are there between 10:11 AM and 4:06 PM? 355 What is 97 minutes after 10:54 AM? 12:31 PM How many minutes are there between 7:19 AM and 2:57 PM? 458 How many minutes are there between 7:25 PM and 12:08 AM? 283 What is 35 minutes before 12:05 PM? 11:30 AM What is 652 minutes before 4:37 PM? 5:45 AM How many minutes are there between 9:40 AM and 7:08 PM? 568 What is 685 minutes before 7:14 AM? 7:49 PM What is 532 minutes before 10:58 AM? 2:06 AM What is 586 minutes after 10:22 PM? 8:08 AM How many minutes are there between 7:05 AM and 9:11 AM? 126 How many minutes are there between 5:51 PM and 9:49 PM? 238 How many minutes are there between 3:58 PM and 10:36 PM? 398 What is 607 minutes before 5:37 PM? 7:30 AM How many minutes are there between 7:01 PM and 3:01 AM? 480 How many minutes are there between 4:32 AM and 2:18 PM? 586 What is 359 minutes after 2:05 AM? 8:04 AM What is 581 minutes after 1:40 AM? 11:21 AM How many minutes are there between 5:58 PM and 5:46 AM? 708 How many minutes are there between 4:07 AM and 6:35 AM? 148 How many minutes are there between 3:11 PM and 9:59 PM? 408 How many minutes are there between 7:58 AM and 2:57 PM? 419 How many minutes are there between 9:07 AM and 6:56 PM? 589 What is 279 minutes before 4:04 PM? 11:25 AM What is 127 minutes after 5:59 AM? 8:06 AM How many minutes are there between 12:07 AM and 7:44 AM? 457 How many minutes are there between 9:26 AM and 4:08 PM? 402 What is 463 minutes after 9:27 PM? 5:10 AM How many minutes are there between 7:07 PM and 9:39 PM? 152 What is 310 minutes after 8:05 AM? 1:15 PM What is 641 minutes after 8:39 AM? 7:20 PM What is 266 minutes after 1:08 AM? 5:34 AM What is 111 minutes before 3:43 AM? 1:52 AM How many minutes are there between 2:00 PM and 7:31 PM? 331 How many minutes are there between 11:43 PM and 11:54 PM? 11 What is 628 minutes before 1:54 AM? 3:26 PM What is 473 minutes after 5:24 AM? 1:17 PM What is 126 minutes after 8:58 AM? 11:04 AM What is 706 minutes after 12:22 PM? 12:08 AM How many minutes are there between 5:29 AM and 7:44 AM? 135 How many minutes are there between 12:43 PM and 9:06 PM? 503 What is 418 minutes after 3:05 PM? 10:03 PM What is 394 minutes after 11:05 PM? 5:39 AM What is 699 minutes before 10:07 PM? 10:28 AM How many minutes are there between 12:08 PM and 5:26 PM? 318 What is 373 minutes before 11:34 PM? 5:21 PM How many minutes are there between 1:20 AM and 3:20 AM? 120 What is 480 minutes before 5:23 PM
{ "pile_set_name": "DM Mathematics" }
ate 30775451 + -0.2. 30775450.8 What is 14695676 plus 147? 14695823 What is the difference between -27005 and 1298? 28303 Add together -61713081.61 and -4. -61713085.61 Calculate -0.3 - 9848.72157. -9849.02157 What is 5 plus 812538? 812543 Work out 21.924403 - 8. 13.924403 What is the difference between -0.7 and -2756451638? 2756451637.3 Total of 1054 and 8862.2. 9916.2 Calculate -4 - -11278054.13. 11278050.13 What is -18165906 - 37? -18165943 Work out -28627987 - 0. -28627987 What is the difference between 0.7126979 and -7.04? 7.7526979 Work out 387012 + 0.5. 387012.5 Calculate -0.1422 + 52805050. 52805049.8578 What is the distance between 61002562 and 18? 61002544 Calculate 24.424 - 137.1. -112.676 Put together 5 and -67037493. -67037488 -1188.732342+0.5 -1188.232342 Subtract -0.00417 from -1456447. -1456446.99583 Calculate -20786 - 4423.2. -25209.2 What is the difference between 12364341 and -0.4? 12364341.4 What is -447 - 0.0009157? -447.0009157 4 - -424738.2748 424742.2748 -57661 + 4458.2 -53202.8 What is the distance between -89493 and 0.088? 89493.088 What is -1520 less than 915.7? 2435.7 -2.319 - -0.6941713 -1.6248287 What is 2 - 11970656? -11970654 Work out -536.006111 - 20. -556.006111 What is -6 + 38251.4? 38245.4 Add -3 and 1449490. 1449487 Work out 23.2 - 1.7256888. 21.4743112 What is 1859 - -2448? 4307 What is the difference between 26777 and -360? 27137 Put together -12443741 and -5. -12443746 Add 3922542 and -0.02. 3922541.98 What is 215 plus -11380007? -11379792 Calculate 21292923312 + 1. 21292923313 Subtract -0.02021 from 483669.6. 483669.62021 What is the distance between 375 and 123092? 122717 -2313214223+-0.4 -2313214223.4 What is the distance between 1.048 and 0.3946? 0.6534 Calculate -3580 - 88209. -91789 What is -95 minus 165555.8? -165650.8 Add together 0.5 and 0.04421000265. 0.54421000265 What is 0.11 + 119835403? 119835403.11 What is 19320 plus 2024401? 2043721 Calculate -5 - 12919638. -12919643 Work out 11905.7 + -12.4. 11893.3 What is 6.87361032 less than -0.3? -7.17361032 What is -11.33193 - 7.468? -18.79993 Calculate -8401.1 - -1297. -7104.1 What is -0.588 + 1.16884? 0.58084 -0.07294407 - -16 15.92705593 Total of 0.615035361 and 0.9. 1.515035361 0.760668+5.3 6.060668 What is -149382110 take away 14? -149382124 Sum -34 and -3458948092. -3458948126 What is -10.56 - 454685? -454695.56 What is -0.91 minus 0.0629397? -0.9729397 Subtract 0.040575 from -0.1. -0.140575 Sum 0.04 and -2480519. -2480518.96 What is -780205.867 minus -4? -780201.867 Total of -8681 and 0.029196. -8680.970804 0.921+289.8 290.721 -480 - -12583 12103 -93071099.6+-5 -93071104.6 What is 1129175 plus -76? 1129099 What is -51586736989 minus 0.3? -51586736989.3 What is 878 plus 288.96? 1166.96 Subtract -0.2864939 from 0.16. 0.4464939 What is -133.56722 minus 0.114? -133.68122 Subtract -6.96 from -3940. -3933.04 Put together -101.715 and -10.15. -111.865 Subtract 708 from -95.1. -803.1 0 - -21459462 21459462 Calculate -911956265 + 53. -911956212 Work out 10 - -176221. 176231 Work out 0 + 12888035. 12888035 Work out -377.6214 - 2. -379.6214 What is -5.7952 take away 2.35122? -8.14642 Work out 0.30954 - 7204. -7203.69046 What is -16 minus -28323561? 28323545 Work out -13 - -702.229013. 689.229013 What is 0 less than 495757? 495757 0.175579 - 71343 -71342.824421 Work out 4945411 + 9425. 4954836 Add 0.1 and -235479750. -235479749.9 Total of 8.77 and -589060. -589051.23 23+11.526934 34.526934 What is -0.5 minus 8594626? -8594626.5 Add 176874 and -261130. -84256 Calculate 1.5 - 2273349. -2273347.5 Sum 2.986702 and -22725. -22722.013298 29 - 3589671 -3589642 Calculate -124.75202 - 0.02. -124.77202 What is -8588.618 plus -0.02? -8588.638 Calculate 52927.39 - 0.0542. 52927.3358 -76031525+195 -76031330 -2584046+-0.52 -2584046.52 48733+-941.89 47791.11 Calculate -1 + 20.66393. 19.66393 What is 3296.3 plus 0.132728? 3296.432728 What is -299945.2 + -21.97? -299967.17 1881073.1+0.48 1881073.58 What is the difference between 1 and -0.022660514? 1.022660514 What is 0.21 less than -78588.02? -78588.23 Work out -4446918 - -0.2. -4446917.8 What is 25846 plus -921540? -895694 What is -38.2145 take away 3? -41.2145 Calculate 2.21 + 146110.215. 146112.425 0 - 2850.019 -2850.019 What is the distance between -4146986.14 and 0.04? 4146986.18 Work out 268 + 5059159. 5059427 What is -2258392751 + 0.7? -2258392750.3 -0.14 + -490.0494891 -490.1894891 What is -635.1 less than 156.509? 791.609 What is 394889544 + 0? 394889544 What is 0.0874815 less than 0.0532? -0.0342815 What is 508.2 less than -5864? -6372.2 What is the difference between 1674743170 and 1? 1674743169 What is the difference between -43966 and -1.77? 43964.23 0.083+-33.5067 -33.4237 Put together 26429 and 43779. 70208 What is -0.4 - -7963275882? 7963275881.6 Total of -13.67 and 1.0853. -12.5847 Total of 0.2 and -128667357. -128667356.8 What is 36486 take away -0.0211008? 36486.0211008 -8.43 - -35628 35619.57 What is the difference between 3.1728 and 179971.6? 179968.4272 Calculate -374016.17 + 69.3. -373946.87 -0.0371+-10852796 -10852796.0371 What is -105123626 plus -0.03? -105123626.03 What is -0.31 less than -0.6786349? -0.3686349 Put together -53 and -1708383. -1708436 Sum 648233 and 1.067. 648234.067 Work out 5.965 + -19458. -19452.035 What is -17445675 take away 3? -17445678 What is 56602 less than -1258? -57860 Work out 64069.82 + 3729. 67798.82 Work out 227241694 - -5. 227241699 1019.3234 + 4 1023.3234 Put together -0.1820847 and 9612. 9611.8179153 Work out 0.28 + 24308.5. 24308.78 Add together -1168367.469 and 0.2. -1168367.269 What is -79 minus 0.0876? -79.0876 Calculate 14 + 10595.8. 10609.8 What is 3 take away 821995.93? -821992.93 Total of -93874973 and 311. -93874662 Put together 40685446 and -0.3. 40685445.7 What is -5 plus -937257.14? -937262.14 59934 - 1045 58889 Work out 5822508394 + -11. 5822508383 What is -2404790 minus 1.1? -2404791.1 Work out -16724015 + -129.2. -16724144.2 What is -68.105 - 160069? -160137.105 -1+13554393 13554392 What is 1 take away -0.102227? 1.102227 -0.0428913 + 3 2.9571087 What is -9 + -2.4321268? -11.4321268 What is -5 plus -16062.7497? -16067.7497 Add together -0.1 and 35199.3. 35199.2 Work out -33 + 964198. 964165 Put together 0.4734991 and -0.246. 0.2274991 Total of 2 and -0.17570707. 1.82429293 Sum 47.59344 and -6. 41.59344 Put together -5951 and 24.46. -5926.54 -12741 - -900224 887483 What is 2 - 236197164.19? -236197162.19 Subtract -1998113 from 560. 1998673 Subtract -192 from -251.522. -59.522 What is 410671.6936 less than -0.4? -410672.0936 What is -0.108 - 2358435? -2358435.108 Add together -0.09 and -223596.4768. -223596.5668 -1.8 - -803448 803446.2 Add -50514 and -117.1. -50631.1 -120740 - 7.73 -120747.73 0.2 + -67876561 -67876560.8 1.16368 + 121.78 122.94368 What is -2889048272 take away -0.3? -2889048271.7 What is -2951769469 plus -0.4? -2951769469.4 What is -18483569 minus 0.4? -18483569.4 What is -38556.8 - 0.0016? -38556.8016 What is -1519 plus 161938? 160419 Sum -338109493 and 0. -338109493 What is -2055.1 - -0.03339? -2055.06661 Add -39001510 and 0.4. -39001509.6 What is the distance between 35837 and 13.3? 35823.7 What is 4983219056 less than 4? -4983219052 Put together -4894.8 and 99.7. -4795.1 0.5 - 7473275 -7473274.5 What is -183.8475 - 22? -205.8475 What is -583332 - 737? -584069 Calculate -1 - 279641.1. -279642.1 Calculate 5600 - 7056702. -7051102 Add together -252724492 and -0.08. -252724492.08 Work out 5 - -894920991. 894920996 Add 251116 and 2.58982. 251118.58982 Work out 45.29 - 207.7. -162.41 Sum -0.57389 and 196. 195.42611 Add 1.64438615 and -562. -560.35561385 What is 0.2 less than -236.216969? -236.416969 Subtract -93226 from 214. 93440 Work out 0.6122 + 1503. 1503.6122 Put together -2499 and -33312. -35811 What is the distance between 0.0213913 and 0.32? 0.2986087 What is -12185.303 - 0? -12185.303 Calculate -0.2 - 3361.7088. -3361.9088 Calculate 66 - 40625936. -40625870 Calculate -2217 + 1319718. 1317501 What is -27318 take away 19425? -46743 Add 22167 and -7.4369. 22159.5631 Sum 2 and -25725888122. -25725888120 Calculate 5.8147072 - 63. -57.1852928 Add 0.536 and 0.177822093. 0.713822093 Add together -942 and -242.7553. -1184.7553 -7
{ "pile_set_name": "DM Mathematics" }
) be the first derivative of 4027*l**6/3 + 2123*l**2/2 - l - 14977. Find the second derivative of f(m) wrt m. 161080*m**3 What is the second derivative of -200*h + 322*h - 681*h + 725*h**3 wrt h? 4350*h Let x(l) be the first derivative of -792*l**7 - 355*l**3/3 - 3*l**2 + 7504. What is the third derivative of x(k) wrt k? -665280*k**3 Let i = 80 + -44. Differentiate -6*r**4 - 79*r - i*r**4 + 79*r - 9 with respect to r. -168*r**3 Let f(w) be the first derivative of 39*w**4/2 + w**2/2 + 102*w + 983. What is the first derivative of f(n) wrt n? 234*n**2 + 1 Let x(t) be the second derivative of -2671*t**8/14 + 8081*t**4/12 + 168*t - 11. Find the third derivative of x(a) wrt a. -1282080*a**3 Let f = 302 - 299. What is the first derivative of 4*t**f + 4*t**3 + 1827 - 1942 wrt t? 24*t**2 Let m(l) be the third derivative of 0*l**4 - 1/40*l**6 - l**2 + 46*l + 2/105*l**7 + 0 + 0*l**3 - 31/30*l**5. Find the third derivative of m(f) wrt f. 96*f - 18 Let c = 46 + -78. Let j = -27 - c. Find the third derivative of -s**2 + 12*s**j + 3*s**2 + 8*s**5 + 6*s**2 wrt s. 1200*s**2 Let i(t) = 257*t**4 - 13*t**3 + 1393*t**2 + 14. Let z(y) = -3*y**4 + y**3 - y**2 - 2. Let v(q) = i(q) + 7*z(q). What is the third derivative of v(h) wrt h? 5664*h - 36 What is the third derivative of -7*o**6 + 41*o**6 - 2*o - 7 + 14 + 194*o**4 + 15*o**4 + 44*o**2 - 4 wrt o? 4080*o**3 + 5016*o Let v(h) be the second derivative of 116/21*h**7 + 0*h**4 + 0*h**6 + 6*h**3 + 189*h + 0*h**5 + 0*h**2 + 0. What is the second derivative of v(g) wrt g? 4640*g**3 Let h(x) be the third derivative of 116*x**7/35 - x**5/60 - x**4/12 + 263*x**3 + 774*x**2. What is the second derivative of h(g) wrt g? 8352*g**2 - 2 Let u(r) be the first derivative of -424*r**3/3 - r**2 + 308*r + 2217. What is the second derivative of u(s) wrt s? -848 Let q be 2/7 - 1018/(-14). What is the derivative of -64*g**4 + 13 - 18 + q wrt g? -256*g**3 Differentiate 4257 + 2*h**2 + 3483 + 480*h + 1669 - 1441 + 792 with respect to h. 4*h + 480 Let v(m) be the third derivative of -68*m**6/15 - 1663*m**5/60 - 183*m**2 - 3. Find the third derivative of v(a) wrt a. -3264 Suppose 6 = -4*o - 3*x - 1, -o + x + 7 = 0. Differentiate 2*l**2 - 8*l**o + 3*l**2 - 77*l - 118 + 5*l**2 with respect to l. 4*l - 77 Suppose 113 = 3*h - 2*y - 7, -4*h + 5*y = -160. Let n = -11 + h. Differentiate -8 + 8 - n + 0*v**2 + 2*v**2 wrt v. 4*v Let i(g) be the second derivative of 125*g**4/2 + g**3/2 - 231*g**2 + 2*g - 301. Find the second derivative of i(j) wrt j. 1500 Suppose -1432*o = -1429*o - 234. What is the first derivative of 96 - o*b**3 + 2*b - 172 - 38 wrt b? -234*b**2 + 2 Find the second derivative of -91*t**3 + t**4 - 2*t**2 + 377*t**3 + 2951*t + 4*t**2 + 321*t wrt t. 12*t**2 + 1716*t + 4 Let h(q) = 3200*q**3 - 8*q**2 + 2618. Let w(s) = 1067*s**3 - 3*s**2 + 873. Let n(z) = -3*h(z) + 8*w(z). Differentiate n(g) with respect to g. -3192*g**2 Let v(r) be the third derivative of -1/24*r**4 + 0*r - 4*r**3 + 0 + 7/20*r**5 - 60*r**2. What is the second derivative of v(w) wrt w? 42 Let r(y) = 3*y**3 + y**2 + 61*y + 79. Let v(j) = -j**3 + j - 1. Let q(d) = -r(d) - 6*v(d). Let m(c) be the first derivative of q(c). Differentiate m(f) wrt f. 18*f - 2 Let k(g) = 2*g**2 + 28*g + 98. Let x be k(-7). Find the second derivative of 2*f**3 + 8*f**3 - 9*f**3 + 237*f + x*f + 136*f**5 wrt f. 2720*f**3 + 6*f Find the first derivative of 1118 + 176*g + 17*g + 98*g - 306*g + 184*g wrt g. 169 What is the first derivative of -4569 + 35614*c**3 - 2934 - 40037*c**3 wrt c? -13269*c**2 Let t(y) be the second derivative of 19*y**5/20 - 13*y**4/6 + 519*y**2/2 + 143*y. What is the first derivative of t(v) wrt v? 57*v**2 - 52*v Let o(p) = -2*p**3 - 11*p**2 + 4*p - 8. Let f be o(-6). Find the third derivative of -7*j**f + j**6 + 115*j**5 - 279*j**2 + 102*j**2 + 7*j**4 wrt j. 120*j**3 + 6900*j**2 Let g(o) = 2*o**4 - o**3 + o**2 - o. Let w(b) = -34*b**4 + 15*b**3 - 9*b**2 + 13*b - 4039. Let x(s) = -13*g(s) - w(s). Find the first derivative of x(a) wrt a. 32*a**3 - 6*a**2 - 8*a Let r be (-18)/(-7) + (-12)/21. Suppose -r*h + 205 = 5*o, -4*o + h = -143 - 21. Find the second derivative of 26*f + o*f**5 + 86 - 86 wrt f. 820*f**3 Suppose 5*c + 4*v = 23, -2*c + 2 = -0*c + 4*v. Differentiate -2*b**4 + 11 - 41 - c - 23 with respect to b. -8*b**3 Let d(x) = 1 + 11*x**2 + 3 - 14*x**2 + x**3. Let q be d(3). Find the second derivative of -4*h - h**4 + 7*h**q + 6*h**4 wrt h. 144*h**2 Let y(w) be the second derivative of 1919*w**4/6 + 5327*w**3/6 + 3*w + 175. Find the second derivative of y(b) wrt b. 7676 Let j(d) = -1776*d - 5488. Let w(o) = -887*o - 2745. Let m(y) = 7*j(y) - 15*w(y). Differentiate m(c) with respect to c. 873 Let p(j) = j**4 - j**3 - 3*j + 6. Let b(s) = -51*s**4 + 8*s**3 - 1759*s**2 - 5*s + 12. Let f(q) = b(q) - 2*p(q). Find the third derivative of f(g) wrt g. -1272*g + 60 Let j(w) be the third derivative of 31/42*w**8 + 0*w**4 + 0 + 0*w**3 - 203*w**2 + 0*w**7 + 0*w + 0*w**6 + 37/12*w**5. Find the third derivative of j(y) wrt y. 14880*y**2 Let n = -565 - -571. What is the third derivative of 10*m**2 + 456 - 51*m**6 - 171*m**n - 468 wrt m? -26640*m**3 Let x be (-3)/(-33) - 448/(-154). What is the third derivative of -980*q**3 - 2*q**4 + 91*q**2 + x*q**5 + 980*q**3 wrt q? 180*q**2 - 48*q Let u(y) be the second derivative of 0*y**2 + 0*y**5 + 31/30*y**6 + y**3 + 4*y - 4 + 1/6*y**4. What is the third derivative of u(m) wrt m? 744*m Let b(s) be the first derivative of -9/2*s**4 + 0*s**3 + 10 - 75/2*s**2 + 0*s. What is the second derivative of b(n) wrt n? -108*n Suppose -7*k + 2*k + 215 = 0. Let c = 46 - k. What is the derivative of m - c - 13 - 7*m wrt m? -6 Let c be ((-48)/(-21))/8 + (-780)/(-14). Find the second derivative of 7 - 6 - c*i**2 - 3 - 5*i + 87*i**2 wrt i. 62 Let p be (-38)/(-8) + 4/16. Suppose p*m - 19 + 4 = 0. What is the first derivative of 11 - 5*a**3 - 5*a**3 + m - 4 wrt a? -30*a**2 Let o(z) be the third derivative of z**7/14 + 37*z**6/60 + z**5/60 + 73*z**4/24 + 8*z**3/3 - 54*z**2 - 6*z - 2. What is the third derivative of o(d) wrt d? 360*d + 444 Let q = -34 - -51. Suppose 0 = -q*h + 22*h - 25. What is the second derivative of -9*n - 76*n**4 + 76*n**4 - 13*n**h wrt n? -260*n**3 Let s(v) be the second derivative of v**7/21 + v**5/4 + 718*v**4/3 - 2959*v. What is the third derivative of s(p) wrt p? 120*p**2 + 30 Let k(d) be the third derivative of -3/20*d**5 - 1/210*d**7 + 19*d**2 + 1/8*d**6 + 0*d**4 + 0*d**3 - 2*d + 0. Find the third derivative of k(u) wrt u. -24*u + 90 Let y(b) be the third derivative of 0*b**4 + 0*b**6 + 182*b**2 - 1/30*b**5 - 94/3*b**3 + 2/21*b**7 - 2*b + 0. Differentiate y(f) with respect to f. 80*f**3 - 4*f Let g(x) be the third derivative of 0*x**6 + 0*x + 0 - 41/6*x**3 + 1/15*x**7 - 17*x**2 - 1/24*x**4 - 1/30*x**5. Find the second derivative of g(f) wrt f. 168*f**2 - 4 Differentiate 3589 + 706*q**4 + 453*q**4 - 436*q**4 + 1764*q**4 wrt q. 9948*q**3 Let l(d) = -d**3 - d**2 + 6*d + 1. Let t(p) = 1544*p**3 + 2*p**2 + 19*p - 4. Let w(h) = 2*l(h) + t(h). Find the second derivative of w(m) wrt m. 9252*m Let a(m) be the third derivative of -1828*m**7/105 + m**5/30 + 11*m**4/12 + 3*m**3/2 + 9*m**2 - 160. Find the second derivative of a(z) wrt z. -43872*z**2 + 4 Let l(o) be the first derivative of -237/2*o**2 + 227 - 325*o. Find the first derivative of l(b) wrt b. -237 Differentiate -2*g**2 - 49705 + 50489 + 45*g + 64*g wrt g. -4*g + 109 Let m(x) = 7*x**2 + 17*x. Suppose -9 = -3*b - 18. Let h be m(b). Find the first derivative of 496*l + h*l**3 - 496*l + 41 wrt l. 36*l**2 Differentiate 1297*g - 798*g + 689 + 1753*g + 4436*g - 866*g wrt g. 5822 Find the second derivative of -5543*q**4 - 5718*q**4 + 8432*q**3 - 8432*q**3 - 9933*q wrt q. -135132*q**2 Suppose 3*g - 3*q = 1 - 4, 0 = -4*g - 2*q + 26. Suppose 0 + 7 = v + u, 5*u = g*v + 17. What is the second derivative of -5*t**v + 4*t**2 + 3*t + t - 3*t wrt t? -2 Let r(x) = -6*x - 3. Let d be r(-1). Let t = -23 - -33. Find the second derivative of -t*p - 3*p**4 - p**4 + d*p wrt p. -48*p**2 Let w = -397 - -401. What is the third derivative of -7 + 68*v**2 + 7 + 1499*v**4 - 1663*v**w wrt v? -3936*v Let x = -228 - -230. Find the third derivative of 18*z**2 + 100*z**2 + x*z**5 + 134*z**2 - 62*z**6 wrt z. -7440*z**3 +
{ "pile_set_name": "DM Mathematics" }
8 and 462. 22 Calculate the highest common factor of 121 and 3509. 121 Calculate the highest common factor of 180 and 354. 6 What is the highest common factor of 160 and 6800? 80 Calculate the highest common divisor of 2726 and 141. 47 Calculate the greatest common factor of 4064 and 128. 32 Calculate the greatest common divisor of 15 and 35. 5 What is the highest common factor of 240 and 192? 48 Calculate the highest common factor of 3 and 96. 3 Calculate the highest common factor of 64 and 2824. 8 What is the greatest common factor of 282 and 6? 6 Calculate the highest common factor of 3077 and 153. 17 What is the highest common divisor of 120 and 72? 24 What is the greatest common factor of 81 and 729? 81 Calculate the greatest common factor of 1665 and 60. 15 What is the highest common factor of 48 and 24? 24 Calculate the greatest common divisor of 4 and 1396. 4 What is the greatest common factor of 945 and 245? 35 Calculate the highest common divisor of 600 and 75. 75 What is the highest common divisor of 72 and 1548? 36 Calculate the highest common divisor of 5976 and 72. 72 Calculate the greatest common divisor of 52 and 988. 52 Calculate the greatest common divisor of 22 and 13. 1 Calculate the highest common factor of 55 and 4741. 11 Calculate the greatest common divisor of 44 and 1903. 11 Calculate the highest common factor of 2720 and 85. 85 What is the greatest common divisor of 330 and 1920? 30 What is the highest common factor of 32 and 1008? 16 Calculate the highest common factor of 28801 and 1388. 347 What is the highest common factor of 12138 and 84? 42 What is the highest common factor of 17 and 272? 17 Calculate the greatest common factor of 98 and 602. 14 Calculate the highest common divisor of 214 and 73188. 214 What is the greatest common factor of 178 and 2? 2 Calculate the greatest common factor of 1462 and 34. 34 Calculate the highest common divisor of 920 and 18630. 230 Calculate the highest common divisor of 153 and 1179. 9 What is the greatest common factor of 713 and 31? 31 What is the greatest common factor of 2350 and 125? 25 What is the highest common divisor of 3415 and 40? 5 Calculate the greatest common divisor of 84 and 36. 12 Calculate the highest common divisor of 616 and 44. 44 Calculate the highest common factor of 55 and 125. 5 Calculate the greatest common factor of 78 and 208. 26 What is the greatest common factor of 946 and 172? 86 What is the highest common factor of 161 and 56? 7 Calculate the highest common factor of 39 and 2171. 13 What is the highest common factor of 23 and 575? 23 What is the highest common divisor of 7 and 273? 7 Calculate the greatest common divisor of 121 and 1133. 11 Calculate the greatest common factor of 36 and 6462. 18 What is the greatest common factor of 10 and 4250? 10 What is the greatest common divisor of 9 and 109? 1 What is the greatest common factor of 528 and 216? 24 What is the highest common divisor of 5786 and 66? 22 What is the greatest common factor of 108 and 216? 108 Calculate the highest common factor of 182 and 52. 26 What is the greatest common divisor of 153 and 27? 9 What is the greatest common factor of 45 and 1810? 5 What is the greatest common divisor of 23 and 23? 23 What is the greatest common divisor of 31712 and 32? 32 Calculate the greatest common divisor of 2886 and 286. 26 What is the greatest common divisor of 6 and 162? 6 Calculate the highest common factor of 11327 and 241. 241 Calculate the highest common divisor of 242 and 121. 121 What is the greatest common factor of 60 and 96? 12 What is the highest common divisor of 3170 and 10? 10 Calculate the greatest common divisor of 2198 and 42. 14 What is the greatest common divisor of 10319 and 153? 17 Calculate the greatest common divisor of 114 and 38. 38 What is the greatest common factor of 130 and 182? 26 Calculate the highest common factor of 1919 and 101. 101 What is the greatest common divisor of 18 and 62? 2 Calculate the highest common factor of 581 and 7. 7 Calculate the greatest common factor of 4239 and 351. 27 What is the greatest common factor of 16 and 80? 16 What is the greatest common factor of 27 and 963? 9 Calculate the highest common factor of 58 and 5191. 29 Calculate the greatest common divisor of 5489 and 11. 11 Calculate the greatest common divisor of 108 and 960. 12 What is the greatest common factor of 45 and 171? 9 What is the greatest common divisor of 424 and 7420? 212 What is the highest common divisor of 6 and 87? 3 Calculate the greatest common factor of 60 and 16860. 60 Calculate the greatest common divisor of 14 and 2758. 14 Calculate the greatest common divisor of 91 and 28. 7 What is the greatest common divisor of 775 and 50? 25 What is the greatest common factor of 16 and 96? 16 Calculate the greatest common divisor of 15370 and 580. 290 What is the highest common divisor of 5874 and 88? 22 Calculate the greatest common divisor of 38 and 190. 38 Calculate the greatest common factor of 1071 and 126. 63 What is the greatest common factor of 27 and 2241? 27 What is the highest common divisor of 2 and 13? 1 What is the highest common divisor of 573 and 9? 3 What is the greatest common factor of 531 and 324? 9 Calculate the highest common factor of 180 and 1220. 20 Calculate the greatest common divisor of 126 and 774. 18 What is the greatest common divisor of 435 and 180? 15 Calculate the greatest common divisor of 83 and 498. 83 Calculate the highest common factor of 2 and 149. 1 What is the highest common divisor of 287 and 205? 41 What is the highest common divisor of 951 and 3? 3 What is the highest common divisor of 175 and 119? 7 Calculate the highest common divisor of 4501 and 14. 7 What is the highest common divisor of 105 and 385? 35 Calculate the greatest common factor of 290 and 50. 10 Calculate the greatest common factor of 581 and 166. 83 Calculate the greatest common factor of 480 and 600. 120 What is the greatest common factor of 81 and 864? 27 What is the highest common factor of 40 and 8? 8 What is the greatest common divisor of 102 and 2193? 51 What is the highest common divisor of 26651 and 29? 29 Calculate the highest common factor of 450 and 75. 75 Calculate the greatest common divisor of 188 and 47. 47 What is the highest common factor of 364 and 208? 52 Calculate the greatest common factor of 612 and 6. 6 Calculate the greatest common divisor of 180 and 160. 20 What is the greatest common factor of 324 and 756? 108 Calculate the highest common factor of 209 and 1562. 11 What is the greatest common divisor of 69 and 2967? 69 Calculate the highest common factor of 292 and 511. 73 Calculate the highest common factor of 865 and 30. 5 What is the highest common divisor of 1632 and 68? 68 Calculate the highest common divisor of 216 and 144. 72 What is the highest common factor of 357 and 187? 17 What is the highest common divisor of 21 and 763? 7 Calculate the greatest common factor of 428 and 12. 4 What is the highest common divisor of 616 and 88? 88 What is the greatest common factor of 48 and 12708? 12 What is the greatest common factor of 102 and 170? 34 Calculate the highest common factor of 9 and 7. 1 Calculate the greatest common factor of 300 and 3450. 150 What is the greatest common divisor of 665 and 70? 35 What is the greatest common factor of 140 and 2548? 28 What is the highest common factor of 43 and 43? 43 Calculate the highest common factor of 9 and 3. 3 Calculate the highest common divisor of 1612 and 2108. 124 Calculate the greatest common factor of 60 and 8. 4 Calculate the greatest common divisor of 20 and 2110. 10 What is the highest common divisor of 5423 and 957? 319 Calculate the highest common factor of 3321 and 81. 81 Calculate the highest common divisor of 17 and 1207. 17 What is the greatest common divisor of 96 and 1888? 32 What is the greatest common factor of 12 and 162? 6 Calculate the highest common factor of 86 and 28. 2 What is the highest common factor of 9 and 81? 9 Calculate the greatest common factor of 2147 and 1017. 113 What is the greatest common divisor of 78 and 480? 6 What is the greatest common factor of 620 and 60? 20 Calculate the greatest common divisor of 245 and 86485. 245 What is the
{ "pile_set_name": "DM Mathematics" }
g = 35 + -20. Let c(a) = -3*a**2 + 18*a. Let x(s) = s. Give g*x(u) - c(u). 3*u**2 - 3*u Let h(u) = -3*u**2 + 87*u - 8. Let b(m) = -7*m**2 + 174*m - 20. Give 2*b(p) - 5*h(p). p**2 - 87*p Let w(z) = 2*z**3 + z**2 + 3*z + 3. Let p = 3 - -2. Let f(g) = -1855*g**3 - 3*g**2 + 150 - 5*g + 1852*g**3 - 155. Determine p*w(r) + 3*f(r). r**3 - 4*r**2 Let u(t) = 2*t**2 - 4*t. Let b(m) = m**3 - 3*m**2 - 12*m + 6. Let h be b(5). Let k(x) = -x**2 + x. What is h*k(w) - u(w)? 2*w**2 Let f(v) = -10*v**2. Let w(k) = -12*k**2 - 10*k**2 + 15*k**2. What is -5*f(d) + 7*w(d)? d**2 Let l(z) = 2*z + 3*z**2 + 4 + 0*z - 5 - 4. Let t(a) = 1. Suppose 0*o = 2*b + 4*o - 10, 0 = -b + o - 1. What is b*l(j) + 5*t(j)? 3*j**2 + 2*j Let w be (-2)/(-7) - 30/7. Let g(o) be the first derivative of -7*o**3/3 - 7*o**2/2 - 2*o + 656. Let n(j) = -6*j**2 - 6*j - 1. Give w*g(p) + 5*n(p). -2*p**2 - 2*p + 3 Let a(t) = -160*t**2 + 2*t. Let n(h) = -80*h**2 + h. Give -4*a(v) + 9*n(v). -80*v**2 + v Let i(f) = -4305*f**3 + 126*f**2 + 63. Let j(p) = 269*p**3 - 8*p**2 - 4. What is 4*i(l) + 63*j(l)? -273*l**3 Let v(y) = 3*y**3 - 4*y**2 - 4*y. Let n(i) be the second derivative of i**5/5 - i**4/4 - i**3/2 + i + 38. Determine 4*n(j) - 3*v(j). 7*j**3 Let r(p) be the third derivative of -11*p**6/120 + p**5/3 + p**4/4 + 348*p**2. Let h = -20 + 14. Let m(i) = -4*i**3 + 7*i**2 + 2*i. What is h*r(g) + 17*m(g)? -2*g**3 - g**2 - 2*g Let v = 29 + -30. Suppose -2*m + 7*m = 10. Let g(h) = -5*h**2 - 2*h - 2. Let o(j) = -j - 1. Determine m*o(y) + v*g(y). 5*y**2 Let s(a) = 3*a**2 + 5*a - 248. Let i(v) = 2*v**2 + 4*v - 242. Determine 5*i(n) - 4*s(n). -2*n**2 - 218 Let n(f) = -5*f**3 + 12*f - 9. Let k = 39 + -36. Suppose 30 = -4*b + k*o, -3*o - 51 = 6*b - b. Let p(m) = -m**3 + 3*m - 2. Give b*p(u) + 2*n(u). -u**3 - 3*u Let m(d) be the first derivative of -30*d**2 - 14*d + 49. Let s(p) = 12*p + 3. What is -3*m(k) - 14*s(k)? 12*k Let q(d) = -5*d**2 + 7*d + 7. Let x(a) = -4*a**2 + 6*a + 6. Let s(u) = -4*u + 19. Suppose 16*k = 45 + 3. Let o be s(k). Calculate o*x(b) - 6*q(b). 2*b**2 Let x(z) = -z**2 + 1. Let m(k) = -5*k**3 - k**2 - 2*k - 43. Give -m(c) + x(c). 5*c**3 + 2*c + 44 Let c(d) = -10*d + 1. Let f(l) = -16*l - 9. Let t(h) = 19*h + 11. Let o(k) = 6*f(k) + 5*t(k). Give c(m) - 3*o(m). -7*m - 2 Let s = 1 - -31. Suppose -u - s = -5*u. Let v(n) = n + 8. Let j(o) = o + 5. What is u*j(f) - 5*v(f)? 3*f Let s(c) = -5*c + 156. Let p(u) = -u + 39. What is 18*p(j) - 4*s(j)? 2*j + 78 Let z(g) = 1. Let l(c) be the first derivative of -4*c**3/3 - 8*c - 9. Calculate -l(q) - 6*z(q). 4*q**2 + 2 Let d(l) = 5*l**3 + 12*l**2 + 6*l + 31. Let v(u) = u**3 + 2*u**2 + u + 1. Give -d(p) + 6*v(p). p**3 - 25 Let x(n) = 6*n - 23. Suppose -26 = -0*c - c - 4*h, -4*c - 3*h = -39. Let s = c - 5. Let z(y) = 1 - s - 8 + 2*y. What is -6*x(b) + 17*z(b)? -2*b + 2 Let a(g) be the first derivative of -13*g + 3*g**3 - 15/2*g**2 + 39. Let f(z) = -4*z**2 + 7*z + 6. Calculate -6*a(x) - 13*f(x). -2*x**2 - x Let s(g) = -176*g**2 - 2*g + 1. Let d(b) = -177*b**2 - 3*b + 2. Determine -2*d(n) + 3*s(n). -174*n**2 - 1 Let k(f) = -f + 1. Let l(h) = -3*h**3 + 10*h - 5. Suppose -q + 3*q = -8. Let o(a) = 3*a**3 - 11*a + 5. Let w(d) = q*o(d) - 5*l(d). What is -6*k(b) + w(b)? 3*b**3 - 1 Let t(l) = 6*l - 2. Let s(g) = -33*g + 32. Let d(u) = 11*u - 11. Let r(o) = 17*d(o) + 6*s(o). What is 2*r(m) + 5*t(m)? 8*m Let p(l) = 571*l - 12. Let n(h) = 878771*h - 18464. Determine 3*n(y) - 4616*p(y). 577*y Let k(y) = -11*y**2 + 28*y. Let d(i) = 6*i**2 - 15*i. What is 5*d(j) + 3*k(j)? -3*j**2 + 9*j Let p(a) = 4*a**2 - a. Let y(l) = -l**2. Let t = -20 - -22. Suppose 0*u - 4*u - 14 = 5*m, t*m + 7 = -3*u. What is u*p(j) - 2*y(j)? -2*j**2 + j Let y(v) = 2910*v**2 + 10*v - 10. Let p(q) = -1185825*q**2 - 4074*q + 4074. Calculate -5*p(w) - 2037*y(w). 1455*w**2 Let z(m) = -223*m**3 + 5*m - 5. Let i(b) = -19402*b**3 + 436*b - 436. Calculate 5*i(t) - 436*z(t). 218*t**3 Let m(j) = -j**3 - j**2 - j + 1. Let q(i) be the second derivative of 1/2*i**4 + 12*i - 7/2*i**2 + 5/6*i**3 + 0 + 3/20*i**5. Give -5*m(g) - q(g). 2*g**3 - g**2 + 2 Let p be (-13)/((-4 + 125/30)*3). Let m(g) = 21*g**2 + 13*g + 13. Let y(n) = -5*n**2 - 3*n - 3. What is p*y(w) - 6*m(w)? 4*w**2 Let l(i) = -41*i + 15. Let c(w) = -3*w - 2. What is 6*c(p) + l(p)? -59*p + 3 Let c(q) = 11*q**3 - 3*q**2 + 2. Let m(l) = -11*l**3 + 2*l**2 - 3. What is -3*c(z) - 2*m(z)? -11*z**3 + 5*z**2 Let a(o) = -5*o**2 + 3*o + 6. Let p(n) = 98*n + 103*n - 1 + 2*n**2 + 0*n**2 - 202*n - n**2. Give -a(g) - 3*p(g). 2*g**2 - 3 Let w(a) = -4*a**3 + 188*a**2 - 3. Let m(g) = -6*g**3 + 187*g**2 - 4. What is -3*m(l) + 4*w(l)? 2*l**3 + 191*l**2 Let i(x) = -4*x**3 + x**2 + 2*x. Let l(v) = -9*v**3 + 2*v**2 + 5*v. Let g = -253 - -255. What is g*l(j) - 5*i(j)? 2*j**3 - j**2 Let u(c) = 3*c**2 + c - 10. Let r(b) = -8*b**2 - 3*b + 30. Calculate 6*r(y) + 17*u(y). 3*y**2 - y + 10 Let a(t) = -2*t**2 - 7*t + 8. Let y(p) = 2*p**2 + 6*p - 7. Suppose -69*d - 282 - 132 = 0. Calculate d*y(j) - 5*a(j). -2*j**2 - j + 2 Let r(q) = -39*q**3 + 102*q**2. Let l(m) = -11*m**3 + 29*m**2. What is 18*l(a) - 5*r(a)? -3*a**3 + 12*a**2 Let y(h) = -28*h**2 - 5. Let u(b) = -76*b**2 + 51*b + 11. Let c(m) = -26*m**2 + 18*m + 4. Let d(t) = 17*c(t) - 6*u(t). Determine 5*d(a) + 2*y(a). 14*a**2 Let w(k) = -3*k**3 + 11*k**2 - 8*k. Let d be (51/85)/(2/10). Let b = -222 + 230. Let p(c) = c**3 - 4*c**2 + 3*c. What is b*p(i) + d*w(i)? -i**3 + i**2 Let l(x) = 35*x**2 + 6*x - 3. Let n(u) = 19*u**2 + 3*u - 2. Give 6*l(i) - 10*n(i). 20*i**2 + 6*i + 2 Let x(u) = 51*u**3 + u**2 + 3. Let i(y) = 153*y**3 + 3*y**2 + 8. Give 3*i(j) - 8*x(j). 51*j**3 + j**2 Let y(n) = 5*n**2 + 11*n + 11. Let j(q) = -q**2 - 2*q - 2. Let a be (-18)/(-12) + (-22)/4. Calculate a*y(v) - 22*j(v). 2*v**2 Let c(o) = -o**2 - o + 2. Let q(k) = -7*k**2 - 2*k + 8. Calculate -6*c(x) + q(x). -x**2 + 4*x - 4 Suppose 0 = -2*c - 2 - 2. Let u(m) be the first derivative of 0*m + 6 - 1/2*m**2. Let w(o) = 1. Determine c*w(q) + 2*u(q). -2*q - 2 Let o(m) = -m - 1. Let g(c) = 3*c + 2. Let s = 469 - 464. Give s*o(t) + g(t). -2*t - 3 Let z(o) = -11*o**3 + 17*o**2 - 12*o - 20. Let h(l) = 4*l**3 - 6*l**2 + 4*l + 7. Let d be (-6 - -12 - 9)*-2. Calculate d*z(s) + 17*h(s). 2*s**3 - 4*s - 1 Let a(i) = 3*i + 5. Let k = 4 - 2. Let d(q) = k*q - 1 + 0*q + 2*q - 5*q. Give a(c) + 4*d(c). -c + 1 Let z(b) = b**2 - 4*b - 2. Suppose 0 = i + 2 + 1. Let u(a) be the first derivative of -3/2*a**2 + 49 - 2*a. Calculate i*u(j) + 2*z(j). 2*j**2 + j + 2 Let u(f) = -5*f**2 - 6*f + 11. Let z be (-4)/(-7) + 3795/231. Let r(m) = -14*m**2 - 17*m + 33. Give z*u(s) - 6*r(s). -s**2 - 11 Let y(l) = 12*l**2 - 5*l - 14. Let h(s) = -s. Give 5*h(k) - y(k). -12*k**2 + 14 Let u(g) be the third derivative of 3*g**4/8 - 23*g**3/6 - 250*g**2. Let z(p) = 4*p - 11. What is 6*u(d) - 13*z(d)? 2*d + 5 Let z(c) be the third derivative of c**5/20 - c**4/6 + c**3/3 + 2*c**2. Let b(j) = -j + 2 - 27505*j**2 + 27508*j**2 - 2*j. Determine 4*b(a) - 3*z(a). 3*a**2 + 2 Suppose 8*q - 4 - 36 = 0. Suppose -94 = -q*n - 4. Let t(p) = -p**2 - p + 1. Let g(l) = 8*l**2 + 9*l - 9. Give n*t(f) + 2*g(f). -2*f**2 Let n(b) = b - 2. Let c be n(0). Let v = c + -3. Let t(p) = -p**3 - p**2 - 1. Let s(o) = -3*o**3 - 5*o**2 - 6. Let l be (45/450)/(2/20). Give l*s(r) + v*t(r). 2*r**3 - 1 Let s(c) = -10*c**2 + 1. Let z = 149 + -154. Let p(d) = -d**2. Determine z*p(w) + s(w). -5*w**2 + 1 Let x(g) = g**2. Let l(q) = -3 - q - 7178*q**2 + 3591*q**2 + 2*q + 3583*q**2. What is 2*l(h) + 6*x(h)? -2*h**2 + 2*h - 6 Let t(v) be the first derivative of v**5/30 - v**3 - 19*v**2/2 - 9. Let w(r) be the second derivative of t(r). Let l(b) = -b**2 + 3. Calculate -7*l(d) - 4*w(d). -d**2 + 3 Let j(q) = 15 + 21 + q**3 + 6*q**3 - 37 - 2*q. Let s(n) = 6*n**3 - 3*n - 1. Determine -3*j(w) + 2*s(w). -9*w**3 + 1 Suppose 5*y = -0*y - 10. Let h(b) = 4*b - 11. Let w = -22 + 9. Let o = w + 18. Let j(s) = 2*s - 5. Determine o*j(x) + y*h(x). 2*x - 3 Let r(k) = -348*k + 4 + 345*k - 3. Let p(j) = 4*j - 2. Suppose 0 = 3*x - 0*x + 6. Let o(m) = x*p(m) - 3*r(m). Let t(i) = 3*i + 4. Determine -2*o(v) + t(v). v + 2 Let g(b) = 2*b - 7 - 6*b - b + 3. Let h(t) = 4*t + 3. Let p = 16 - 19. What is p*g(x) - 4*h(x)? -x Let i(p) = 125*p**2 - 5*p. Let l(b) = -125*b**2 + 4*b. Calcula
{ "pile_set_name": "DM Mathematics" }
d 43? 66275977.6 Calculate 205.739410828 - 13.25. 192.489410828 838+46108804 46109642 -15683292271+0.074 -15683292270.926 What is 38561289.927905 + -1? 38561288.927905 -30201518989 - -0.036 -30201518988.964 What is -130160 - 488796.26? -618956.26 64628300641 + 0.1 64628300641.1 What is -0.4484130755 less than 114590? 114590.4484130755 Subtract 0.2 from -9608432527673. -9608432527673.2 Work out -7646102924 + 69.402. -7646102854.598 What is the distance between 735391 and -4126.61477? 739517.61477 What is 0.1 less than -707478699665? -707478699665.1 -243498 + 140635252 140391754 Put together -2.1857 and 365407517. 365407514.8143 Calculate -151222 - -2858.28014. -148363.71986 71009994731+-3.4 71009994727.6 Work out 63180 + 484124. 547304 Total of -1 and -252485636.4648. -252485637.4648 What is -8315957569 minus -2.489? -8315957566.511 What is 74455322 less than -1.14? -74455323.14 15 - 77635935.8409 -77635920.8409 Work out -407613224 + -2.758. -407613226.758 Total of -0.252 and -18.2523803123. -18.5043803123 Add together -0.02750426859 and 0.4. 0.37249573141 Add 110.9 and -92025186. -92025075.1 Add 411.27 and -2.257097. 409.012903 Calculate -8.28 + -16293667.25. -16293675.53 What is -16018327.7 minus -1.497? -16018326.203 Calculate -0.14343 - 3111835. -3111835.14343 Work out -1337 - -424.15733. -912.84267 Add 2.40833 and -504481007. -504481004.59167 4056553 - 24522341 -20465788 Add together -10296224 and 0.0957. -10296223.9043 What is the difference between 26987.913805 and 1? 26986.913805 Calculate 1.699 - -215896815.053. 215896816.752 What is the distance between -9797 and -663298851? 663289054 -8790977+-1589.02 -8792566.02 What is -137.118233 - 940582? -940719.118233 What is 4086205.8 take away -512237? 4598442.8 Add -29909552058 and -0.6008. -29909552058.6008 Subtract 253424 from 30.6780145. -253393.3219855 What is the difference between 5395766 and -845042? 6240808 Calculate -636.5 - 0.098138273. -636.598138273 Calculate 0.5 + -310.51876133. -310.01876133 What is -5749967777182 take away -0.2? -5749967777181.8 -27518672108952 + -4 -27518672108956 12.62497+68637266 68637278.62497 -6931964111 - -3 -6931964108 What is -0.1 - -8593275197.525? 8593275197.425 What is 0.001 + 2809280909? 2809280909.001 What is -0.04 + -36738.85751111? -36738.89751111 Total of -0.6 and 1.4828763863. 0.8828763863 Sum 0.09264 and -70603990933. -70603990932.90736 What is the distance between -14459809 and -48308.38? 14411500.62 What is 6344814 minus -2403? 6347217 -42.76778+12277 12234.23222 -0.002 - -58.89454771179 58.89254771179 What is -2948355983 minus 0.946? -2948355983.946 Add 2711 and 681815.49. 684526.49 What is -1251033.12 take away 13311? -1264344.12 What is 2 minus 18288584007.4132? -18288584005.4132 14639854.8+1034.12 14640888.92 What is 8873.447518 minus 299? 8574.447518 Calculate -71.71808229601 - 20. -91.71808229601 What is 106.1 plus -14969.7427? -14863.6427 Total of 10022 and -1069103822. -1069093800 What is the distance between 11444987 and 40.679? 11444946.321 Subtract 4445726 from -2.86726. -4445728.86726 5 - -40812418070 40812418075 What is -2 less than -2379564656671? -2379564656669 Total of -9.055 and -885821565. -885821574.055 What is 1794138780576 less than -0.38? -1794138780576.38 What is the difference between -96 and 44591838642? 44591838738 Add 1.168925 and -0.51505471. 0.65387029 What is 16584 + -2090492517? -2090475933 Calculate -1.82 - 6261904740. -6261904741.82 What is -842691476377 less than -2? 842691476375 1704440877963 - 0.7 1704440877962.3 Calculate -47295 - 7781.4948. -55076.4948 What is -3339178327 less than -17086? 3339161241 Calculate -45.7 - -201921470. 201921424.3 Calculate -0.2 - 83690682041. -83690682041.2 31+2623393614.471 2623393645.471 What is -5299 less than -29929.28812? -24630.28812 Calculate -1757411732 - -4766. -1757406966 -94843553309+-0.05 -94843553309.05 Put together -557772276 and -2653. -557774929 Work out -111519287.2 - 275.5. -111519562.7 Work out 40385654 - -2.226. 40385656.226 Total of 0.5 and 9573653414.08. 9573653414.58 Calculate -10099730259 + 302. -10099729957 Work out 59586.68 - -4.188212. 59590.868212 What is the distance between 1.84 and 22306896868? 22306896866.16 What is -20 - -116210125.435? 116210105.435 What is the distance between -736895 and -3661076? 2924181 Total of 264079750 and 2.3276. 264079752.3276 -63565461 - 597.1 -63566058.1 What is the distance between -15182253.826954 and 0? 15182253.826954 What is -21848256986 minus -2115? -21848254871 Add -11841.37405699 and 0.09. -11841.28405699 What is 4368 + 12861.1962? 17229.1962 -21020847184+-0.032 -21020847184.032 Sum -11.17363 and 11454396. 11454384.82637 Sum -2038694 and -436933. -2475627 Subtract -502772147842.3 from -0.4. 502772147841.9 -21768359 - 1663100 -23431459 What is 46439.2190710918 plus 2? 46441.2190710918 What is 0.11720013002 - 6? -5.88279986998 What is -40.114644837686 plus -0.5? -40.614644837686 What is 106125347204 + -0.6? 106125347203.4 Add together 25 and -4268109865784. -4268109865759 Add 286 and -121445.3527. -121159.3527 Add 0.1 and 6351495.6446. 6351495.7446 What is -22342.27822 take away -3870? -18472.27822 Work out -0.4 - 113365445599022. -113365445599022.4 Put together -0.044848897 and -53741. -53741.044848897 Put together -6.83 and 0.049671. -6.780329 What is 598952.77 take away 166.1587? 598786.6113 Calculate 11.42203554151 - 207. -195.57796445849 What is the difference between 0 and 34853242535314? 34853242535314 Add -7621839904563 and 4. -7621839904559 What is 2418.25529783 take away 601? 1817.25529783 Calculate 294948738 - -19429.3. 294968167.3 Add -4 and 33686115140. 33686115136 Work out -3484.434 - -49.01989. -3435.41411 Sum -235981226847 and -34. -235981226881 58725558.4 - -2 58725560.4 What is -1.01766147 take away 336027? -336028.01766147 Add together -214044901254 and -291.9. -214044901545.9 Calculate 9126562 + 143.517. 9126705.517 What is 158.39 less than -26859622? -26859780.39 Total of -149 and 1922230029. 1922229880 What is 57619847982835 - -12? 57619847982847 What is the difference between -339681.5 and 10.439? 339691.939 What is -4 minus 59.288614989732? -63.288614989732 Put together 3.7 and 1646600376.2. 1646600379.9 What is -6 - 269002103369? -269002103375 Calculate -9.51 + 2220.051248. 2210.541248 38867368745 + 34.56 38867368779.56 Put together -2 and 59703989960. 59703989958 What is the distance between -81480836233 and 0.2? 81480836233.2 -5372053 + -42.325 -5372095.325 Work out -1770433942 + 0.20091. -1770433941.79909 Total of -575852445165 and 0.0183. -575852445164.9817 What is 10311256 less than 0.122095? -10311255.877905 What is -138374012279 minus -731? -138374011548 321128+-1937.3792 319190.6208 What is -9319.95 plus -18521831? -18531150.95 Subtract -104347561 from 8036588. 112384149 Total of -0.9 and 11617860644264. 11617860644263.1 -161589302184 - -0.0747 -161589302183.9253 What is 0.264987 + -56360997? -56360996.735013 -0.1134 - 0.30436726389 -0.41776726389 What is 153338556456059 minus 4? 153338556456055 733.322 + -54901134 -54900400.678 What is 59281094 + -1.728? 59281092.272 -10886019 + 4642.2528 -10881376.7472 Work out -3 - -616908972594. 616908972591 Total of 0.115 and 4930187317579. 4930187317579.115 What is the difference between 0.0630169 and 547818.7? 547818.6369831 Calculate -11 + -45679076782.5. -45679076793.5 Work out -15021749 + -26325.2. -15048074.2 99.39 - 0.05379435 99.33620565 Sum 9722 and 4825888. 4835610 Put together 3.35 and 2339785871. 2339785874.35 -0.508 - -139528016 139528015.492 Total of -26801971.4 and 0.01782. -26801971.38218 Add 4 and -1632804.80489. -1632800.80489 Calculate 17.171 + 41319690. 41319707.171 Work out 163.426632 - -0.0795. 163.506132 515910.37+17944 533854.37 What is 41364 less than -3264478735? -3264520099 What is -1370799 plus -2652231? -4023030 Put together -0.02955388 and -156050. -156050.02955388 What is -686 + -5309164123? -5309164809 3067 + -455574408 -455571341 -49.873987 + -920 -969.873987 What is the difference between -9921994880115 and -0.1? 9921994880114.9 Subtract 0.193405 from -50128648. -50128648.193405 Work out 460 - -44.4002859. 504.4002859 What is -18729210654 less than -0.27? 18729210653.73 What is -157 take away 56.407
{ "pile_set_name": "DM Mathematics" }
ow many grams are there in 5/4 of a kilogram? 1250 What is nine tenths of a century in months? 1080 What is 5/8 of a centimeter in micrometers? 6250 How many minutes are there in 1/30 of a week? 336 What is 0.6401675 litres in millilitres? 640.1675 How many nanometers are there in one quarter of a micrometer? 250 How many months are there in 7/4 of a decade? 210 How many meters are there in 3/25 of a kilometer? 120 What is 1.789497 decades in months? 214.73964 What is 121.26393 minutes in days? 0.0842110625 What is 15/4 of a litre in millilitres? 3750 How many nanometers are there in 2.533649m? 2533649000 How many micrograms are there in 26/5 of a milligram? 5200 How many tonnes are there in 85036.19 grams? 0.08503619 How many kilometers are there in 58664.11 meters? 58.66411 How many minutes are there in 16.597347 milliseconds? 0.00027662245 What is 0.9820664 centuries in millennia? 0.09820664 How many seconds are there in 5/6 of a hour? 3000 What is nine tenths of a kilometer in centimeters? 90000 How many months are there in 7/6 of a decade? 140 Convert 865.0888ml to litres. 0.8650888 What is 29.76623ug in nanograms? 29766.23 What is 1/16 of a kilometer in millimeters? 62500 What is 18/5 of a litre in millilitres? 3600 What is 7/2 of a litre in millilitres? 3500 What is 21/4 of a centimeter in micrometers? 52500 How many years are there in 7968.111 months? 664.00925 How many minutes are there in 196856.31 nanoseconds? 0.0000032809385 What is 0.5161498 centuries in months? 619.37976 What is twenty-nine fifths of a centimeter in millimeters? 58 Convert 78.79708mg to kilograms. 0.00007879708 What is 29/5 of a microgram in nanograms? 5800 How many microseconds are there in fourty-eight fifths of a millisecond? 9600 Convert 71.80885 decades to months. 8617.062 How many minutes are there in 1/6 of a day? 240 How many micrometers are there in 7259.169 kilometers? 7259169000000 What is 11/8 of a kilogram in grams? 1375 How many meters are there in 63.34748um? 0.00006334748 What is three tenths of a millimeter in micrometers? 300 What is 540.6201l in millilitres? 540620.1 How many decades are there in 2459.276 centuries? 24592.76 What is 414.1181ug in milligrams? 0.4141181 How many kilometers are there in 99541.59cm? 0.9954159 How many grams are there in 7/2 of a kilogram? 3500 Convert 6349.915 milligrams to kilograms. 0.006349915 How many months are there in 7/4 of a millennium? 21000 Convert 716836.9us to milliseconds. 716.8369 How many nanograms are there in 1/20 of a milligram? 50000 What is 17760.90645ns in weeks? 0.000000000029366578125 How many micrometers are there in 584.051km? 584051000000 How many months are there in five sixths of a millennium? 10000 What is 0.4790895 years in decades? 0.04790895 How many millilitres are there in 79490.62l? 79490620 How many micrograms are there in 29/2 of a milligram? 14500 What is 2/15 of a week in minutes? 1344 Convert 6751.556ug to milligrams. 6.751556 What is 7/6 of a year in months? 14 How many years are there in 41/2 of a decade? 205 What is 4.732706 days in minutes? 6815.09664 Convert 40.1247 centuries to millennia. 4.01247 What is eleven halves of a tonne in kilograms? 5500 What is twenty-seven halves of a litre in millilitres? 13500 What is 0.011669 minutes in milliseconds? 700.14 What is 287.0973 minutes in hours? 4.784955 Convert 4.885297mm to nanometers. 4885297 What is 6/5 of a microgram in nanograms? 1200 Convert 357930.3 nanometers to meters. 0.0003579303 Convert 2185.74 kilograms to milligrams. 2185740000 What is 184947.5 litres in millilitres? 184947500 What is 8320.51 days in nanoseconds? 718892064000000000 How many millimeters are there in 25/2 of a meter? 12500 What is 43/2 of a litre in millilitres? 21500 What is seven eighths of a micrometer in nanometers? 875 What is 34311.92 millilitres in litres? 34.31192 Convert 6363.381 litres to millilitres. 6363381 What is 7/2 of a gram in milligrams? 3500 What is 1207.588 centimeters in micrometers? 12075880 How many minutes are there in 17577.924 milliseconds? 0.2929654 What is 31/5 of a millisecond in microseconds? 6200 How many centuries are there in 17/2 of a millennium? 85 How many decades are there in 29/2 of a century? 145 How many grams are there in twenty-nine halves of a kilogram? 14500 What is 416.6379ng in tonnes? 0.0000000000004166379 What is 6.74186 millennia in decades? 674.186 What is 0.0914606ng in tonnes? 0.0000000000000000914606 What is 830363.8 meters in micrometers? 830363800000 How many minutes are there in twenty-nine sixths of a week? 48720 What is 86.5361ml in litres? 0.0865361 What is 33.87545 litres in millilitres? 33875.45 How many micrometers are there in 1/10 of a meter? 100000 Convert 5.477512ns to milliseconds. 0.000005477512 Convert 22692.51um to meters. 0.02269251 Convert 35.51635l to millilitres. 35516.35 What is 13/4 of a litre in millilitres? 3250 Convert 2120.446 millennia to years. 2120446 How many millilitres are there in 65.04618 litres? 65046.18 What is 1074.3345 milliseconds in hours? 0.00029842625 How many months are there in 23/3 of a millennium? 92000 Convert 7389.699 millennia to decades. 738969.9 How many millilitres are there in 45.44025l? 45440.25 What is 706067.5 litres in millilitres? 706067500 What is twenty-three eighths of a litre in millilitres? 2875 Convert 5108.496 weeks to milliseconds. 3089618380800 What is 89/2 of a litre in millilitres? 44500 How many nanograms are there in 7.8147 grams? 7814700000 How many decades are there in 0.4626845 years? 0.04626845 How many months are there in thirteen eighths of a century? 1950 How many millilitres are there in fifteen quarters of a litre? 3750 What is 7/3 of a decade in months? 280 How many seconds are there in 29/5 of a hour? 20880 How many millilitres are there in 3/8 of a litre? 375 How many centuries are there in 992.8728 months? 0.827394 How many kilograms are there in 67/4 of a tonne? 16750 How many seconds are there in eight fifteenths of a day? 46080 Convert 28540.51um to centimeters. 2.854051 What is 0.3586771 decades in years? 3.586771 What is 3/10 of a gram in milligrams? 300 What is fifty-one eighths of a microgram in nanograms? 6375 What is 7/4 of a tonne in kilograms? 1750 What is 19/4 of a centimeter in micrometers? 47500 How many grams are there in thirty-one fifths of a kilogram? 6200 What is 3541.8 nanograms in milligrams? 0.0035418 How many milliseconds are there in one quarter of a minute? 15000 Convert 55.77404 minutes to seconds. 3346.4424 How many kilograms are there in 0.6632465 tonnes? 663.2465 What is one quarter of a micrometer in nanometers? 250 How many millimeters are there in 3/5 of a meter? 600 How many hours are there in 2/7 of a week? 48 What is 6.33163 tonnes in milligrams? 6331630000 What is 5433.368kg in micrograms? 5433368000000 How many meters are there in 3/8 of a kilometer? 375 How many millilitres are there in 61/4 of a litre? 15250 How many seconds are there in twenty-seven fifths of a hour? 19440 What is thirty-two fifths of a tonne in kilograms? 6400 How many nanograms are there in 0.697224 tonnes? 697224000000000 How many grams are there in 956130.6t? 956130600000 What is 8998.369 days in minutes? 12957651.36 How many millilitres are there in 318.9633l? 318963.3 What is one fifth of a litre in millilitres? 200 How many years are there in 13/5 of a century? 260 How many years are there in 13/5 of a millennium? 2600 What is thirty-two fifths of a centimeter in millimeters? 64 How many microseconds are there in 505.2301 seconds? 505230100 How many milligrams are there in sixty-seven quarters of a gram? 16750 How many grams are there in 1/10 of a tonne? 100000 What is fifty-nine fifths of a micrometer in nanometers? 11800 How many meters are there in 602.3934cm? 6.023934 What is 6/5 of a kilometer in meters? 1200 What is five sixths of a day in seconds? 72000 How many nanograms are there in 5/4 of a microgram? 1250 What is fourty-nine quarters of a microgram in nanograms? 12250 What is twenty-nine halves of a litre in millilitres? 14500 What is 27/5 of a litre in millilitres? 5400 How many micrometers are there in 704.5351mm? 704535.1 How many milliseconds are there in 46/5 of a second? 9200
{ "pile_set_name": "DM Mathematics" }
are the prime factors of a? 3 Suppose -o - 5*q = -28, 8 = 5*o + 5*q - 92. List the prime factors of o. 2, 3 Let b = -25 - -36. List the prime factors of b. 11 Suppose -3*f = -5*f + 2. List the prime factors of -1*3*(-1)/f. 3 Suppose -2*a - 2 = -0*a. List the prime factors of 20/(-3)*3*a. 2, 5 Suppose 0*z = z - 52. List the prime factors of z. 2, 13 What are the prime factors of 6/(-9)*102/(-4)? 17 Suppose 0 = 11*u - 12*u + 2. Suppose -63 = -2*g + 4*o + 13, -3*g = u*o - 114. What are the prime factors of g? 2, 19 Let a = 38 - 2. Let w(z) = -z**2 - 6*z + 5. Let t be w(-6). Suppose y - t*y = -a. List the prime factors of y. 3 Suppose -5*n - 5*l + 120 = 0, -5*l + 32 + 61 = 4*n. What are the prime factors of n? 3 Suppose -52 = -4*y - 5*g, 0*g + 32 = 3*y + 2*g. Let x = y + -1. Suppose -k - 5*r = -x, 4*k - 1 = -r + 8. What are the prime factors of k? 2 What are the prime factors of 5/(-3)*(-2 - 13)? 5 Suppose -4*o + 0*o = -192. List the prime factors of o. 2, 3 Suppose 0 = -4*y + 12 - 0. Suppose -4*a + 20 = -2*r, y*a = 3*r - r + 13. What are the prime factors of a? 7 Let l = -2 - -2. Suppose 0 = q - l - 9. What are the prime factors of q? 3 Let z = 158 - 67. List the prime factors of z. 7, 13 Let h(y) be the third derivative of y**4/12 + 2*y**3 + y**2. Let n be h(-9). Let z = n + 19. List the prime factors of z. 13 Suppose -11*n - 76 = -2815. List the prime factors of n. 3, 83 Suppose -2*m - 3*m = 25. Let x(j) = -j**3 - 4*j**2 + 5*j - 1. Let n(y) = -y**3 - 4*y**2 + 5*y. Let q(s) = 4*n(s) - 5*x(s). List the prime factors of q(m). 5 Let n = 56 - -1. List the prime factors of n. 3, 19 Let l be ((-32)/(-6))/(-4)*-6. Let h(u) = 3*u - 11. List the prime factors of h(l). 13 Let c(a) = -a**3 - 9*a**2 - 3*a - 12. List the prime factors of c(-9). 3, 5 Suppose 3*r - 38 = 31. List the prime factors of r. 23 Let b = 2 - -1. Suppose -5*i + 45 = b*x, -7 - 8 = -x + 3*i. What are the prime factors of x? 3, 5 Let v(y) = y**3 + 4*y**2 - y - 2. Let i = 1 - 5. What are the prime factors of v(i)? 2 List the prime factors of 698*(-4 + 7 + 5/(-2)). 349 Let m(h) = 31*h + 2. Let o = 3 + -1. Let d be m(o). Suppose 4*s + 0*s = d. What are the prime factors of s? 2 Suppose 5 = 4*a + 5*q, 0 = -4*a - 2*q + 2. Let l = a + 4. List the prime factors of l - (-1 + 1 + 0). 2 Let i = -19 - -32. Let f = 0 + i. List the prime factors of f. 13 Let k(r) = -1 - r**2 + 2*r**2 - 4 + 4*r. List the prime factors of k(-7). 2 Suppose 459 = 5*m - 316. Suppose -5*u + 53 = 3*d, 5*u = 5*d - 0*u - m. Suppose 2*a + d = 3*v + v, -19 = -2*v - a. What are the prime factors of v? 2 Let m(i) = -i**2 - 17*i + 10. What are the prime factors of m(-15)? 2, 5 Let w be 456/8 - -4*1. Suppose w + 155 = 4*h. What are the prime factors of h? 2, 3 Let t = 467 - 240. List the prime factors of t. 227 Let d = -20 - -7. Let s = -6 - d. List the prime factors of s. 7 List the prime factors of (-286)/11*(1 + (-9)/2). 7, 13 Suppose -7*c + 2*c - 15 = 0. Let r be -3 - (2 + c) - -2. Suppose -o + 2 = -r*o. List the prime factors of o. 2 Let t = 7 + -4. Suppose -6*q + 6 + 12 = 0. Suppose -4 = m + 2*x, 0 = 2*m + t*x + 1 + q. List the prime factors of m. 2 Suppose -6*t + 8*t - 110 = 0. What are the prime factors of t? 5, 11 Let j(f) = -f**2 + 2*f + 3. Let q be j(-3). Let z be 400/q*(-3)/2. Suppose 5*n - z = -0*n. List the prime factors of n. 2, 5 Let f = -317 - -501. What are the prime factors of f? 2, 23 Suppose 5*s - 252 = -4*s. What are the prime factors of s? 2, 7 Suppose -1 - 7 = -2*q. Let k be ((-7)/q)/(6/(-120)). Suppose -k = -5*d + 30. List the prime factors of d. 13 Let q(h) = 2*h + 3. Let c be 102/(-14) - 4/(-14). Let t be q(c). Let d = t + 15. List the prime factors of d. 2 Suppose 5*w - 5*c = -16 + 101, 0 = -w - c + 23. What are the prime factors of w? 2, 5 Suppose 15*c - 64 = 11*c. List the prime factors of c. 2 Let m(b) = -44*b**3 - 2*b**2 + 1. What are the prime factors of m(-1)? 43 Suppose 5*b - 252 + 72 = 0. What are the prime factors of b? 2, 3 Suppose 4*t - 5 = -25. Let f(m) = -m**2 - 7*m - 4. List the prime factors of f(t). 2, 3 List the prime factors of (4 - (-2)/4*-6) + 89. 2, 3, 5 Let r(v) = v**2 + 3*v - 5. Let d be r(-5). Suppose -3*k + 30 = h, -d*h + 6 + 0 = -k. Suppose u = -l - 3*l + k, -4*l = -3*u - 21. List the prime factors of l. 3 Let d = 396 - 681. List the prime factors of (-4)/(-16) + d/(-12). 2, 3 What are the prime factors of 24/(-2 - 4)*335/(-4)? 5, 67 Suppose 0 = -2*v - 2*v + 8. Suppose -v*o = -0*o - 10. List the prime factors of o. 5 Let f be 1 + 114/2 - 3. Suppose -4*d + f + 5 = 0. List the prime factors of d/(-2)*(-28)/35. 2, 3 Let h = 149 + -106. What are the prime factors of h? 43 Suppose 2*k + 2*o - 3 = 9, 3*o = -k + 12. Suppose 2*m - 5 - 10 = -k*b, -4*b - 40 = -4*m. What are the prime factors of m? 3 Suppose -2*o + 11 = 4*r - o, 15 = 5*r + o. Suppose 0 = -5*d - r*u + 21, -4*d + 16 = 4*u - 0. What are the prime factors of d? 5 Let a(f) = 2*f - 13. Let d(k) be the first derivative of k**2/2 - 7*k + 2. Let m(u) = -4*a(u) + 7*d(u). What are the prime factors of m(-7)? 2, 5 List the prime factors of 204/(-9)*18/(-4). 2, 3, 17 Let k(u) = -2*u**3 - 9*u**2 - 9*u - 5. List the prime factors of k(-6). 157 Let q be 454/8 - 1/(-4). Let d = -37 + q. List the prime factors of d. 2, 5 Let m = 458 + -235. List the prime factors of m. 223 Let p(w) = 63*w + 2. List the prime factors of p(6). 2, 5, 19 Suppose 2*a - 1 = 3*q + 1, -5*q + 10 = 0. Suppose 2*u - 102 = -4*d, a*d - 4 = 8. What are the prime factors of u? 3, 5 Suppose 4*a + 50 = 2*f, 0 = -4*f + 2*a + a + 110. Suppose -f = -4*v + 115. What are the prime factors of v? 2, 3 Let h(x) = -x**2 - 5*x + 6. Let z be h(-5). Suppose -z*r = -11*r + 20. Suppose t + 6 = r*t. List the prime factors of t. 2 Let b(n) = n**3 + 3*n**2 - 2*n - 1. Let d be b(-3). Suppose -2*i + 10 = 2*i + 2*q, i - d*q = -3. List the prime factors of i. 2 Suppose 0 = 15*v - 12*v - 426. List the prime factors of v. 2, 71 Suppose 3*n = 8*n + 4*o - 135, 2*n = 5*o + 54. List the prime factors of n. 3 Let m(q) = -q**3 - 7*q**2 + q + 7. Let r be m(-7). Suppose r*p = -p + 14. What are the prime factors of p? 2, 7 Let s be 2 + 0 - 12/(-2). Suppose -4*r + r + 3 = 0. Let k = s - r. List the prime factors of k. 7 What are the prime factors of ((-16)/24)/(4/(-186))? 31 Let z(t) = -t**3 + 10*t**2 - 9*t. Let p be z(9). Suppose 5*u + 3*b - 94 = 0, -2*u + 4*b - 9*b + 30 = p. List the prime factors of u. 2, 5 Suppose 3*y = 3*i, -i - 5 + 11 = 2*y. Suppose i*g - 103 - 5 = 0. Suppose -g - 6 = -3*z. List the prime factors of z. 2, 5 Suppose t + 8 = d + 1, -d = 2*t + 5. Let q = 17 - d. What are the prime factors of q? 2, 7 Let s(v) = -v + 18. Let l be s(0). List the prime factors of l/(-15)*(-5)/2. 3 Let k = 0 + 1. Let g(r) = k + 7 + 1 - r - 3. What are the prime factors of g(0)? 2, 3 Let n(z) = z - 12. Let p(v) = -2*v + 11. Let m(u) = -3*n(u) - 2*p(u). List the prime factors of m(-6). 2 Suppose 3*i = i + 6. Suppose -5*b - i*u + 42 = 0, -5*b + 7*u + 10 = 2*u. What are the prime factors of b? 2, 3 Suppose 5*u + 48 - 143 = 0. Let p = u + -7. Suppose 3*h - p - 18 = 0. What are the prime factors of h? 2, 5 Let r(s) = -16*s + 4*s**2 + 3*s + 2*s**2 - 5 - 5*s**2. List the prime factors of r(15). 5 Let c be ((-28)/(-6))/(2/3). Let v = c + 2. List the prime factors of v. 3 What are the prime factors of (-3)/(-2 + (-28)/(-8)) + 44? 2, 3, 7 Suppose 4*a - 7 = 5*r, -3*a + 6 = -r - 2. Let u = 3 + r. Suppose u*d = -d + 110. What are the prime factors of d? 2, 11 Suppose 0*z - 48 = -z. What are the prime factors of z? 2, 3 Let g = 3 + -1. Suppose 14 - 4 = g*y. List the prime factors of y. 5 Let c(z) = 2*z + 7. Let h(d) = -6*d - 20. Let w(x) = -17*c(x) - 6*h(x). Let p be w(1). Suppose y - 13 = -j, -2*j = -j + p*y - 3. List the prime factors of j. 2, 3 Suppose -2*q - 2*q - 5*t = 6, -1 = 3*q + 2*t. Let r = q + -1. Suppose 3*f - s - 13 = 0, -11 = -5*f - r*s - s. What are the prime factors of f? 3 Let q be (49 - -2)/(15/(-20)). Let o = -41 - q. List the prime factors of o/4 - 6/8. 2, 3 Let g(p) = 14*p + 8. What are the prime factors of g(5)? 2, 3, 13 Let t(i) = 2*i + 5. What are the prime factors of t(2)? 3 Let u = 14 + -10. Suppose u*g + 0*o = o + 49, 0 = 3*g + 3*o - 33. What are the prime factors of g? 2, 3 Let j = -123 + 2
{ "pile_set_name": "DM Mathematics" }
ement from {k: 3, z: 1, m: 4, l: 3}. What is prob of picking 1 z and 3 k? 1/330 What is prob of picking 1 m and 1 z when two letters picked without replacement from zzzmlkmzklzlzw? 12/91 Calculate prob of picking 1 f and 1 p when two letters picked without replacement from aapppfap. 1/7 Calculate prob of picking 1 f and 1 o when two letters picked without replacement from ofcoo. 3/10 Four letters picked without replacement from {u: 15, t: 5}. What is prob of picking 1 t and 3 u? 455/969 Four letters picked without replacement from uwuggwwbwwww. What is prob of picking 2 u, 1 b, and 1 g? 2/495 What is prob of picking 1 e, 1 c, and 1 f when three letters picked without replacement from {e: 1, z: 3, f: 1, k: 5, c: 3}? 3/286 Four letters picked without replacement from {y: 2, l: 2, p: 2, b: 2}. What is prob of picking 1 y, 2 b, and 1 p? 2/35 Three letters picked without replacement from {v: 5, o: 13}. Give prob of picking 3 o. 143/408 Two letters picked without replacement from {n: 16, y: 1, d: 1}. What is prob of picking 1 y and 1 d? 1/153 What is prob of picking 3 l and 1 t when four letters picked without replacement from ksttlkllillsktsli? 3/119 Two letters picked without replacement from {j: 2, k: 2}. Give prob of picking 1 j and 1 k. 2/3 What is prob of picking 2 p when two letters picked without replacement from ppttpp? 2/5 What is prob of picking 1 f, 1 a, and 1 g when three letters picked without replacement from {g: 3, a: 5, f: 4}? 3/11 Four letters picked without replacement from {h: 1, a: 3, w: 3, u: 6, y: 1}. Give prob of picking 1 y, 1 w, and 2 a. 9/1001 Two letters picked without replacement from {c: 3, t: 3, h: 6, p: 1, e: 3, a: 1}. Give prob of picking 1 a and 1 p. 1/136 Three letters picked without replacement from {y: 2, r: 5}. Give prob of picking 3 r. 2/7 Calculate prob of picking 2 z when two letters picked without replacement from ztqqqqzttzt. 3/55 Calculate prob of picking 1 u and 1 h when two letters picked without replacement from uzuohxuhhhuxuuxx. 1/5 Calculate prob of picking 1 x and 1 l when two letters picked without replacement from lkpxl. 1/5 What is prob of picking 1 i and 2 x when three letters picked without replacement from xxiixii? 12/35 Two letters picked without replacement from uaaaaaauuueeeuuaeeu. What is prob of picking 2 u? 7/57 Four letters picked without replacement from rrrrrgrrrrrrrrr. Give prob of picking 4 r. 11/15 Two letters picked without replacement from yylyuglyllllullyyyl. Give prob of picking 1 u and 1 g. 2/171 What is prob of picking 2 q and 1 x when three letters picked without replacement from qhhhxqhq? 3/56 Three letters picked without replacement from nmqntnu. What is prob of picking 1 t, 1 n, and 1 q? 3/35 Calculate prob of picking 1 c and 2 v when three letters picked without replacement from ckjvnecv. 1/28 Three letters picked without replacement from dddddwdddddddddwdddd. Give prob of picking 3 d. 68/95 Four letters picked without replacement from uumfmuuuhafhw. What is prob of picking 4 w? 0 Four letters picked without replacement from iazizahzzvzzzazs. What is prob of picking 1 h, 1 z, and 2 i? 2/455 Calculate prob of picking 2 g and 1 y when three letters picked without replacement from ggggggggggygg. 3/13 Three letters picked without replacement from {d: 1, z: 1, k: 1, x: 1, w: 2, t: 1}. Give prob of picking 1 w, 1 t, and 1 k. 2/35 Calculate prob of picking 1 c and 1 h when two letters picked without replacement from {h: 1, p: 3, w: 1, j: 3, c: 6}. 6/91 Calculate prob of picking 2 e and 1 g when three letters picked without replacement from {g: 1, z: 2, b: 1, l: 2, e: 10, v: 3}. 15/323 Two letters picked without replacement from njnnjjnjnjnjnnnj. Give prob of picking 1 j and 1 n. 21/40 Three letters picked without replacement from {e: 2, d: 10}. Give prob of picking 1 d and 2 e. 1/22 What is prob of picking 2 w and 1 b when three letters picked without replacement from wwwbwvwvwbwvb? 63/286 What is prob of picking 2 d and 1 t when three letters picked without replacement from tdddcttdtddtdct? 18/65 Calculate prob of picking 2 r when two letters picked without replacement from kfriqqkriqmkr. 1/26 What is prob of picking 1 s and 2 l when three letters picked without replacement from lsllls? 3/5 Calculate prob of picking 1 j and 2 u when three letters picked without replacement from {u: 6, j: 6}. 9/22 What is prob of picking 1 j, 1 q, and 1 r when three letters picked without replacement from {q: 9, t: 3, a: 1, r: 1, j: 3, e: 2}? 9/323 What is prob of picking 2 u and 2 y when four letters picked without replacement from {u: 2, x: 1, y: 2}? 1/5 Calculate prob of picking 1 z and 3 x when four letters picked without replacement from {z: 2, m: 1, x: 3, j: 1}. 2/35 Calculate prob of picking 2 h when two letters picked without replacement from hhhhnhhhhhn. 36/55 What is prob of picking 2 b when two letters picked without replacement from fufuubbbuuuu? 1/22 Four letters picked without replacement from wwwddqwdeedccq. What is prob of picking 2 c, 1 w, and 1 d? 16/1001 Four letters picked without replacement from mmmmmmmmmmwmmmm. What is prob of picking 4 m? 11/15 What is prob of picking 2 q when two letters picked without replacement from {x: 2, m: 6, q: 7}? 1/5 Three letters picked without replacement from irgittretiitaiairta. What is prob of picking 2 r and 1 e? 1/323 What is prob of picking 2 h when two letters picked without replacement from {h: 9, t: 3}? 6/11 Two letters picked without replacement from {l: 2, m: 4, v: 4}. Give prob of picking 2 l. 1/45 Four letters picked without replacement from {n: 2, b: 3, c: 4}. Give prob of picking 1 n and 3 b. 1/63 Three letters picked without replacement from wwgnhwnnngnwn. Give prob of picking 2 g and 1 h. 1/286 Calculate prob of picking 4 y when four letters picked without replacement from {y: 5, u: 2}. 1/7 Two letters picked without replacement from {t: 1, g: 1, v: 2, f: 3, w: 5}. What is prob of picking 1 t and 1 f? 1/22 Calculate prob of picking 2 g when two letters picked without replacement from ggggggg. 1 Two letters picked without replacement from cveccbv. Give prob of picking 1 b and 1 c. 1/7 What is prob of picking 2 g and 2 p when four letters picked without replacement from {x: 5, p: 2, g: 4}? 1/55 Four letters picked without replacement from llyyy. Give prob of picking 2 y and 2 l. 3/5 What is prob of picking 1 v, 1 u, and 1 n when three letters picked without replacement from {v: 1, n: 1, u: 1, f: 1, i: 1}? 1/10 Two letters picked without replacement from jdjdndyjjdddjjjcjjj. What is prob of picking 1 y and 1 n? 1/171 Four letters picked without replacement from {f: 7, p: 9}. What is prob of picking 2 p and 2 f? 27/65 Two letters picked without replacement from mtfffdfffftmfmdf. What is prob of picking 1 t and 1 f? 3/20 Three letters picked without replacement from fcusg. What is prob of picking 1 f, 1 u, and 1 c? 1/10 Two letters picked without replacement from bgpbgzbbgb. Give prob of picking 2 b. 2/9 Two letters picked without replacement from {u: 2, q: 5}. What is prob of picking 2 q? 10/21 Four letters picked without replacement from hhhqhyqwhhvyvq. Give prob of picking 1 y, 1 v, 1 q, and 1 w. 12/1001 Four letters picked without replacement from {c: 3, p: 1, m: 1, r: 4, o: 1, n: 2}. Give prob of picking 2 n, 1 p, and 1 m. 1/495 Calculate prob of picking 1 s and 1 u when two letters picked without replacement from asabbkskkukkukkeua. 2/51 Two letters picked without replacement from {b: 2, g: 4, i: 2}. Give prob of picking 1 b and 1 g. 2/7 Calculate prob of picking 2 c and 1 d when three letters picked without replacement from {c: 6, d: 4}. 1/2 What is prob of picking 1 s and 2 b when three letters picked without replacement from sbbbsrsbxbbrbsskbbsb? 9/38 Two letters picked without replacement from {x: 2, j: 2}. What is prob of picking 2 j? 1/6 Four letters picked without replacement from {k: 7, q: 3, x: 5, z: 2}. Give prob of picking 1 z and 3 k. 1/34 What is prob of picking 1 i and 2 j when three letters picked without replacement from {l: 2, i: 4, t: 3, j: 9}? 3/17 Calculate prob of picking 2 b when two letters picked without replacement from {l: 2, b: 17}. 136/171 Two letters picked without replacement from {y: 1, a:
{ "pile_set_name": "DM Mathematics" }
= x + -5. Suppose -o - h*o = 0. Solve o = -4*q - i + 12, 4*i = 2*q + 9*i - 24 for q. 2 Let w = 20 + -20. Solve 2*c + 6 = -w*c + r, 2*c + 6 = -4*r for c. -3 Suppose -3*p + 0*p + 6 = 0. Suppose 0 = d + 3, -4*d + 57 = y + p*y. Solve -16 = -4*a - 5*z + z, -2*z = 5*a - y for a. 5 Suppose 4*b = -3*v + 7, 4*b - v + 1 = 5*b. Let g = 29 - b. Solve 0 = 5*w + 5*r + g, 5*r + 12 = -8 for w. -1 Let l(u) = -u**2 + 4*u + 5. Let o be l(5). Suppose o = 4*h - 2*h. Suppose 0 = -3*v - 0*v + 60. Solve -q - v = -5*g, 2*q - 5 = g - h*q for g. 5 Suppose -2*p + 4*j = 2*j, 20 = 4*j. Solve 9*o = p*u + 4*o + 10, -5*o = 10 for u. -4 Let f = 15 - 13. Solve -19 = -4*d + 3*l, -f*l - 14 = d + l for d. 1 Let l = -66 + 66. Solve l*w = -3*w, 0 = 3*d - 4*w for d. 0 Let h be (-138)/(-4)*(16/(-3) + 6). Solve 4*f - 5*m - 30 = 0, -h - 5 = -4*f + 4*m for f. 5 Let r(a) = 3 - 2*a - 13 - a - 3. Let u be r(-6). Solve 0 = -2*w + u*i - 0*i + 35, -4*w + i = -25 for w. 5 Let q be ((-1)/(2/6))/(-1). Solve 0 = q*j - p + 5*p + 21, 5*j = 5*p for j. -3 Let q(s) = -2*s - 10. Let o be q(-11). Let j = o - 8. Solve j*i - 3*b = -6, -4*b - 9 = 2*i + 5 for i. -3 Let f be 3 - -2 - -2 - 3. Let m be ((-15)/(-12) + 0)*f. Let n = 7 - m. Solve -2*r + 15 = n*t + 5, 0 = -5*r + 25 for t. 0 Let s(h) be the first derivative of -h**4/4 + 5*h**3/3 + 7*h**2/2 - h - 1. Let j be s(6). Solve 0 = u - j*m + 21, -1 = u - m + 4 for u. -1 Suppose -20 = -5*t, 6*w = w + 5*t - 20. Suppose 0*x - 2*x = w. Suppose x = -3*u + 10 - 1. Solve -11 = 4*s - 5*f, -3*s - f - u - 10 = 0 for s. -4 Suppose -39 = -w - 2*w - 3*k, 49 = 3*w + 5*k. Solve 5*u + 26 = 4*l, -6*u + 2*u + w = 4*l for l. 4 Let b(k) = k + 3. Let s be b(5). Suppose 2*g = 6*g - s, -2*y + 4*g = 4. Solve -y*t = u - 3, -t + 0*t - 1 = u for t. 4 Let x(y) = y**3 + 6*y**2 - y - 3. Suppose -12 = 6*r - 4*r. Let j be x(r). Solve -37 = 3*v + 5*g, -j*v + 3*g = 2 - 5 for v. -4 Suppose 0*l + 2 = l. Let q(i) = 5*i**2 + i - 1. Suppose 0*x - 19 = x - 5*f, -f + 8 = 4*x. Let y be q(x). Solve y*c = l*c - 2*g + 4, -35 = 5*c - 5*g for c. -2 Let h(f) = 5*f. Let u be (-8)/36 - (-182)/9. Suppose 0 = 2*d + 3*d - u. Let b be h(d). Solve 0 = 5*x - w + 4*w - b, 2*x - 5*w = 8 for x. 4 Suppose 0 + 2 = -2*o. Let w be 5*((-1)/o - 0). Solve 29 = -5*k + h, h - w*h = 5*k + 9 for k. -5 Suppose -2*z + 2*a + 10 = 0, -3*z + a = 5*a - 15. Solve -k = -z*g - 5 + 13, 2*g - 2 = 0 for k. -3 Let m(o) = 2*o**2 + 2. Let u be m(2). Let q = u - 6. Solve -4*t - q*a + 8 = -6*t, 2*a - 4 = 2*t for t. 0 Let p be 0/(1 + 2) - -12. Let i be (-2)/(-2)*(-12)/(-4). Let n be (20/(-15))/((-1)/i). Solve 5*m - n*b = p, -b = 2*m - m + 3 for m. 0 Suppose t - 12 + 0 = 0. Solve 0*x + x + w - 6 = 0, -4*w = -t for x. 3 Let a be (-2)/(-4) - (-1)/2. Suppose 4*i = -2*d + 16, -i + 5 = a. Suppose -4*y = -d*y. Solve 3*w = 2*k + 6, -3*w + y*w = 2*k - 18 for k. 3 Let i = 3 + 2. Solve -4*g + i*l = -24, 2*l = -2*g - 3*l - 18 for g. 1 Suppose 5*q + 4*v + 20 = 4*q, 4*v + 12 = 0. Let s(p) = -p**2 - 10*p - 11. Let n be s(q). Solve 0 = 5*k - 3*l + 2, 2*k + 6*l = 3*l - n for k. -1 Let b(j) = 4*j**2 - j + 1. Let m be b(1). Solve -m*o - 4*p = -12, 2*p = -2*o + p + 5 for o. 2 Suppose c = 2*u + u + 7, 2*c - 11 = 3*u. Let x = u + 7. Suppose -r - z + x = r, z - 2 = 0. Solve y + i = 6 - 4, -r*i + 2 = 0 for y. 1 Let l(x) = -x**2 + 5*x + 14. Let u be l(7). Solve u + 2 = 4*s + 5*o, -s - 5*o - 7 = 0 for s. 3 Suppose 8 = 3*p - p. Solve p*c - 1 = 3*c, -c = -4*b - 9 for b. -2 Suppose 5*t - 5 = 2*o + 2*o, -4*t + 4*o = 0. Let d = 8 + -4. Solve -t*b - d*q = 21, 2*q + 16 = -3*b + 3*q for b. -5 Suppose -21 = -q - 4*o, -3*q + 3*o + 6 = 3. Let x be 4/(-3 + 5 - 1). Let b = 5 + -1. Solve -5*m = -q*u, 5*m - x = 5*u + b*m for u. -1 Let g be 24/14 - 46/(-161). Solve 0 = g*z + 5*t - 24, -5 = -2*z - t + 3 for z. 2 Let k = -68 - -101. Let s = 50 - k. Solve 2*r + s = -2*d - 3*d, -20 = 5*d + 5*r for d. -3 Let v = 12 - 6. Let l(a) = a**2 - 4*a - 8. Let u be l(v). Suppose -3*q - 12 = 0, -3*j + 4*q + 15 = -7. Solve 3*t + 0 = -2*s + 2, 0 = -u*s + j*t - 12 for s. -2 Suppose 5*x = -10 + 30. Suppose 6*c - 3*c - 39 = 0. Let d = c + -8. Solve -d*a - 13 = 2*n, -6*a + x*a = 5*n + 1 for a. -3 Let h be -3 - (2 - -1 - 9). Suppose -n = -h*n + 38. Solve -y - y = 4*w - 2, n = 3*y - 2*w for y. 5 Suppose 2*y - 12 + 2 = 0. Solve -2*q - y*c = 11, -3*q + 5*c - 4 = -0*q for q. -3 Let a be (5 - 2)/(3/9). Let j be (2 + 1)/(a/(-12)). Let d be (-67)/(-4) - j/16. Solve x - s = -5, s - 2 = -4*x - d for x. -4 Let f = 21 - 19. Solve 0*m - 4*p = 4*m - 28, -3*m - f*p + 16 = 0 for m. 2 Let b(i) = -i**2 + 6*i - 6. Suppose 3*g - 4 = 8. Let n be b(g). Let u = -146 - -149. Solve 1 + n = -3*l + u*k, 3*l - 2*k + 6 = 0 for l. -4 Let w(p) = p**2 + 11*p + 4. Let l be w(-10). Let v be (-7)/(-3) + (-4)/l. Solve -v*r + b = -1, 3*r = -10*b + 7*b + 9 for r. 1 Let n(g) = g**3 - 8*g**2 + 9*g - 14. Let f be n(7). Solve -b + 2*h - h = f, 0 = -4*h + 4 for b. 1 Let l be 2/(-8) - (-2)/8. Let u = 2 - l. Solve -2*b - 14 = 2*r, u*r - 14 = 5*b - 0*r for b. -4 Let z be (3/9)/((-1)/(-6)). Suppose -2*u - z*u = 0. Suppose u = -4*g - 2*d + 6, 3*g + g + 3*d - 3 = 0. Solve 3*n - n + l - 10 = 0, 5*n + g*l - 27 = 0 for n. 3 Let c(i) = i**3 - 4*i**2 - 6*i + 2. Let v be c(5). Let u = 2 + -5. Let p = u - v. Solve 4*t - j + 8 = p, -5*t + 4 = 3*j + 31 for t. -3 Let r be ((-9)/3 + 2)/(-1). Solve -2*o = -4*u + 3*u - r, 0 = 3*u + o + 17 for u. -5 Let j(o) = o + 2. Let w be j(-3). Let n = w - -3. Solve -x - n*h - 10 = -5*h, 11 = x + 4*h for x. -1 Let j(w) = w**3 + 6*w**2 + 5*w + 3. Let q be j(-5). Suppose -20 = -4*c - 4*f, 0 = -5*c + q*f + 25. Solve c*a = 4*g + 6, 0 = -5*a - 5*g + 12 - 42 for a. -2 Suppose -3*r + 6 = -24. Suppose -3*k + r = 2*k. Suppose -5*f = -f - u - 79, 43 = k*f + 3*u. Solve -2*g - f = 3*d, -5*g - 4 = -4*d - 0*g for d. -4 Let u = 3 + -2. Let p be (3/(-9))/(u/(-75)). Solve 5*n + 24 = 2*h - 2, -3*h = -4*n - p for h. 3 Suppose 3*i - 10 = 5. Suppose 4*r + 18 = i*r. Suppose 4*x - r = 3*w + 19, 4*w = -2*x + 24. Solve 5*h - 30 = 4*k + x, 3*k + 23 = 2*h for k. -5 Suppose 5*y = -10, 7 = -0*a + 3*a + 4*y. Solve 5*m = a*j - 25, 3*m - j + 5 + 0 = 0 for m. 0 Suppose 2*r + 2 = -2*a, -7*r - 18 = -3*a - 3*r. Suppose 3*t + 2*i = 15, 5*t - 30 + 0 = -5*i. Solve 0 = y - 2*m - 6, -a = t*y - 2*m + m for y. -2 Let h(s) = 7*s**2 - 2*s + 2. Let c be h(2). Solve r - c = 4*k - r, 0 = 4*k + 4*r + 8 for k. -5 Suppose -3*h - i - 5 = 0, 3*i + 4 = 4*h - 11. Solve 5*t - 25 = 5*w, h*w + 2*w = 5*t - 16 for t. 2 Let a(o) = o**2 + 9*o + 2. Let i be a(-9). Solve 2*v = i*s - s + 11, 4*v - 4*s - 32 = 0 for v. 3 Suppose -2*d + 0*d = 8, y + 2*d + 3 = 0. Suppose 2*i = i + 2, -y*i = 3*o - 25. Solve 4*p = 5*z + 17 + o, -2*p = 5*z + 4 for z. -2 Let x(h) = h**2 - 4*h - 2. Let m be x(5). Suppose -5*o = -2*v - 8 - 1, -18 = -3*o - m*v. Solve -o*i = -2*k + 12 + 4, 2*i + 24 = 4*k for i. -2 Let o be 3/6 - 3/(-2). Let s be o - -1*(-1 - -2). Suppose 0 = h - s*q + 12 - 5, 4*h + 4*q - 20 = 0. Solve -4*x - 8 = h*f - f, -3*x = -3*f - 9 for f. -4 Let r be (9/(-6))/((-9)/12). Solve 0 = r*b - 2*m + 2, -3 = 5*b + 2*m + 2 for b. -1 Let y(k) = k**3 - 4. Let j be y(0). Let d be (4 - j) + 3 + -2. Solve -m = 5*q - 17 + 2, -3*m + d = 3*q for q. 3 Suppose 14 = 4*p + 2*v, 0*v + 4 = 5*p - 2*v. Solve 4*z + 3*f = 12, 0*f + 8 = p*f for z. 0 Let r be (-1 + 1 + 0)*1. Solve -4*c + r - 4 = -4*j, -5 = -5*j for c. 0 Let n(z) = z + 5. Suppose -9 = -4*u + 27. Let c be n(u). Solve 4*t + 26 = -2*l, -3*t = -2*t + 3*l + c for t. -5 Let w(m) = -m**3 + 6*m**2 + 8*m - 4. Let k be w(7). Suppose -2*u = -17 - k. Let g = u + 1. Solve v + d + g = 5*v, 0 = v + 3*d + 7 for v. 2 Let w be 2/6*30/5. Suppose 2*z - 4*k - 16 = 0, -2*k - 8 - 2 = 0. Let j be z*6/4 + 7. Solve 2*n - 3*p = w*p + 24, -j = p for n. 2 Let a(j) = 4*j - 5. Let i be a(6). Suppose -5*b = 2*t - t + 1, 3*t - 4*b - 16 = 0. Solve k - i = 2*o + t*k, -4*k - 20 = 0 for o. -2 Suppose 3*t + 150 = 8*t. Suppose -2*h - 3 = -3*v, 5*v + 9*h = 4*h + t. Solve 2*j + 2*j + 18 = -v*d, -3*j = -5*d - 1 for d. -2 Suppose 2*v = 10, -3*v = -4*s - 0 - 3. Solve -s*j + 10 = -b, -j = -2*b - 4 - 1 for j. 3 Let g(z) = -8*z + 4. Let m be g(-4). Let i be 13/4 + 27/m. Solve w - i*c = -0*c - 15, -5*c = -20 for w. 1 Suppose 0 = 5*z, 5*z + 10 = 3*i - 5. Suppose 4*k + 5*a = k, 4*a = i*k. Solve u - 6*u - 3*d
{ "pile_set_name": "DM Mathematics" }
divided by 20. 17 Calculate the remainder when 100 is divided by 26. 22 What is the remainder when 3891 is divided by 59? 56 Calculate the remainder when 1593 is divided by 14. 11 What is the remainder when 102 is divided by 72? 30 What is the remainder when 994 is divided by 41? 10 Calculate the remainder when 114 is divided by 9. 6 Calculate the remainder when 425 is divided by 2. 1 What is the remainder when 1215 is divided by 32? 31 Calculate the remainder when 1948 is divided by 178. 168 What is the remainder when 550 is divided by 182? 4 What is the remainder when 868 is divided by 10? 8 Calculate the remainder when 1846 is divided by 17. 10 Calculate the remainder when 43 is divided by 26. 17 Calculate the remainder when 70 is divided by 20. 10 What is the remainder when 297 is divided by 10? 7 What is the remainder when 1628 is divided by 813? 2 Calculate the remainder when 249 is divided by 25. 24 What is the remainder when 1282 is divided by 96? 34 Calculate the remainder when 126 is divided by 80. 46 Calculate the remainder when 168 is divided by 59. 50 What is the remainder when 3152 is divided by 30? 2 What is the remainder when 295 is divided by 58? 5 What is the remainder when 5455 is divided by 52? 47 Calculate the remainder when 2789 is divided by 309. 8 What is the remainder when 550 is divided by 37? 32 What is the remainder when 173 is divided by 29? 28 What is the remainder when 847 is divided by 17? 14 What is the remainder when 136 is divided by 7? 3 What is the remainder when 1175 is divided by 14? 13 What is the remainder when 154 is divided by 151? 3 Calculate the remainder when 5923 is divided by 75. 73 What is the remainder when 553 is divided by 171? 40 Calculate the remainder when 446 is divided by 52. 30 Calculate the remainder when 987 is divided by 8. 3 Calculate the remainder when 6161 is divided by 45. 41 What is the remainder when 228 is divided by 83? 62 What is the remainder when 1357 is divided by 10? 7 What is the remainder when 118 is divided by 20? 18 What is the remainder when 1103 is divided by 130? 63 What is the remainder when 255 is divided by 36? 3 Calculate the remainder when 4397 is divided by 83. 81 Calculate the remainder when 566 is divided by 115. 106 What is the remainder when 1805 is divided by 441? 41 Calculate the remainder when 5115 is divided by 43. 41 Calculate the remainder when 6495 is divided by 32. 31 What is the remainder when 491 is divided by 99? 95 What is the remainder when 311 is divided by 12? 11 What is the remainder when 159 is divided by 99? 60 Calculate the remainder when 14 is divided by 8. 6 What is the remainder when 1927 is divided by 59? 39 Calculate the remainder when 1073 is divided by 287. 212 Calculate the remainder when 19 is divided by 5. 4 Calculate the remainder when 85 is divided by 22. 19 What is the remainder when 186 is divided by 19? 15 What is the remainder when 61 is divided by 9? 7 What is the remainder when 210 is divided by 71? 68 What is the remainder when 130 is divided by 11? 9 What is the remainder when 37 is divided by 4? 1 Calculate the remainder when 1309 is divided by 52. 9 What is the remainder when 619 is divided by 48? 43 Calculate the remainder when 62 is divided by 13. 10 Calculate the remainder when 22 is divided by 5. 2 Calculate the remainder when 358 is divided by 108. 34 Calculate the remainder when 1148 is divided by 82. 0 Calculate the remainder when 2024 is divided by 226. 216 What is the remainder when 1478 is divided by 17? 16 What is the remainder when 335 is divided by 82? 7 Calculate the remainder when 150 is divided by 7. 3 What is the remainder when 641 is divided by 112? 81 What is the remainder when 125 is divided by 6? 5 What is the remainder when 983 is divided by 21? 17 What is the remainder when 679 is divided by 343? 336 Calculate the remainder when 5414 is divided by 14. 10 What is the remainder when 5011 is divided by 19? 14 Calculate the remainder when 954 is divided by 29. 26 Calculate the remainder when 87 is divided by 78. 9 What is the remainder when 1024 is divided by 57? 55 Calculate the remainder when 113 is divided by 17. 11 What is the remainder when 250 is divided by 103? 44 What is the remainder when 232 is divided by 63? 43 What is the remainder when 130 is divided by 19? 16 Calculate the remainder when 60 is divided by 13. 8 Calculate the remainder when 3 is divided by 2. 1 What is the remainder when 358 is divided by 60? 58 Calculate the remainder when 72 is divided by 9. 0 Calculate the remainder when 229 is divided by 73. 10 What is the remainder when 167 is divided by 153? 14 Calculate the remainder when 107 is divided by 50. 7 Calculate the remainder when 19151 is divided by 24. 23 What is the remainder when 9 is divided by 1? 0 What is the remainder when 11850 is divided by 18? 6 What is the remainder when 245 is divided by 19? 17 What is the remainder when 252 is divided by 15? 12 Calculate the remainder when 133 is divided by 64. 5 What is the remainder when 406 is divided by 202? 2 What is the remainder when 57 is divided by 50? 7 What is the remainder when 291 is divided by 59? 55 Calculate the remainder when 1622 is divided by 207. 173 What is the remainder when 26529 is divided by 198? 195 Calculate the remainder when 1918 is divided by 120. 118 Calculate the remainder when 330 is divided by 88. 66 Calculate the remainder when 308 is divided by 30. 8 Calculate the remainder when 588 is divided by 143. 16 Calculate the remainder when 2377 is divided by 58. 57 Calculate the remainder when 199 is divided by 191. 8 What is the remainder when 1309 is divided by 16? 13 What is the remainder when 390 is divided by 100? 90 What is the remainder when 367 is divided by 32? 15 Calculate the remainder when 602 is divided by 11. 8 Calculate the remainder when 17087 is divided by 16. 15 Calculate the remainder when 1076 is divided by 268. 4 Calculate the remainder when 1818 is divided by 101. 0 What is the remainder when 4533 is divided by 108? 105 What is the remainder when 867 is divided by 6? 3 Calculate the remainder when 284 is divided by 81. 41 What is the remainder when 104 is divided by 10? 4 What is the remainder when 611 is divided by 18? 17 What is the remainder when 189 is divided by 25? 14 Calculate the remainder when 381 is divided by 24. 21 Calculate the remainder when 100 is divided by 18. 10 What is the remainder when 384 is divided by 189? 6 Calculate the remainder when 3061 is divided by 35. 16 Calculate the remainder when 398 is divided by 40. 38 What is the remainder when 1676 is divided by 40? 36 Calculate the remainder when 985 is divided by 18. 13 What is the remainder when 1674 is divided by 128? 10 What is the remainder when 1079 is divided by 66? 23 What is the remainder when 4861 is divided by 2428? 5 Calculate the remainder when 717 is divided by 18. 15 What is the remainder when 94 is divided by 73? 21 Calculate the remainder when 85 is divided by 82. 3 What is the remainder when 213 is divided by 49? 17 What is the remainder when 2559 is divided by 80? 79 Calculate the remainder when 25 is divided by 20. 5 Calculate the remainder when 129 is divided by 13. 12 What is the remainder when 33 is divided by 6? 3 Calculate the remainder when 1347 is divided by 56. 3 Calculate the remainder when 324 is divided by 82. 78 Calculate the remainder when 701 is divided by 46. 11 What is the remainder when 10 is divided by 7? 3 Calculate the remainder when 438 is divided by 118. 84 What is the remainder when 748 is divided by 27? 19 What is the remainder when 229 is divided by 83? 63 Calculate the remainder when 360 is divided by 28. 24 What is the remainder when 167 is divided by 21? 20 Calculate the remainder when 169 is divided by 43. 40 Calculate the remainder when 1695 is divided by 281. 9 What is the remainder when 64 is divided by 55? 9 Calculate the remainder when 371 is divided by 104. 59 Calculate the remainder when 259 is divided by 54. 43 What is the remainder when 1619 is divided by 313? 54 Calculate the remainder when 143 is divided by 52. 39 What is the remainder when 545 is divided by 13? 12 Calculate the remainder when 437 is divided by 63. 59 Calculate the re
{ "pile_set_name": "DM Mathematics" }
9*v**2 - v**3 in the form c*v + n*v**3 + y + x*v**2 and give n. -1 Rearrange (4 - 4 + 5*m)*(-30 + 31 + 24) + 5*m - m + 10*m to the form o + n*m and give n. 139 Express -18 + 341*v - 399*v - 4*v**3 + 18 in the form a*v**2 + j + s*v + n*v**3 and give n. -4 Rearrange (113 - 113 + 18*d**4)*(2 - 3 - 1) + (2 + 1 - 4)*(d**4 + d**4 + 2*d**4) to p*d**3 + m*d**2 + r + l*d**4 + y*d and give l. -40 Rearrange 6 + 164*u - 39 - 166*u - u**2 to the form n + d*u**2 + l*u and give l. -2 Express (0*i - 4*i + 2*i)*(-99 + 91 + 98)*(-3*i**2 - 2 + 2) in the form g*i + x + b*i**2 + n*i**3 and give n. 540 Rearrange (0*v**2 - 2*v**2 - v**2)*(-11 + 11 + 3*v) - 2*v**3 + 3*v**3 - 3*v**3 + 2*v**2 to the form p + j*v + f*v**3 + g*v**2 and give g. 2 Express (-144 + 132 - 73)*(l - l - l)*(-2*l**2 + 3*l - 3*l) as x + n*l**3 + y*l + m*l**2 and give n. -170 Rearrange -239*p**2 - 286*p**2 + 3989*p**3 - 3988*p**3 to h*p + v + u*p**2 + n*p**3 and give u. -525 Express 69*z + 1330 + 1337 - 2664 in the form t*z + x and give x. 3 Express 62 - 259 + 66 + 287*c**2 + 65 + 67 as t*c**2 + y + j*c and give t. 287 Rearrange -5*m**4 - 2*m + m**2 - 6 - 3*m**2 + 22 - 8 - 6 - 2*m**3 to the form o + q*m**4 + a*m + k*m**2 + z*m**3 and give o. 2 Express -10*r**2 + 4534 - 9067 - r + 4530 in the form h*r**2 + p*r + x and give p. -1 Express 3*o**2 + 45 + 31 - 13 in the form t + g*o + x*o**2 and give t. 63 Rearrange (-26 - 16 - 4)*(-h + 2*h + h) to the form b + l*h and give l. -92 Rearrange 494*o**2 - 252*o**2 + 0 + 0 - 244*o**2 - 79*o**4 - 2*o to the form g*o + q*o**3 + k*o**2 + x*o**4 + s and give g. -2 Express -4*b + 15*b - 1070*b**2 - 2*b - 9*b as g*b + i + h*b**2 and give h. -1070 Express 3 - 4 - 65*p + 3 - 3*p as u + i*p and give i. -68 Express -924 + 550 - 2*c + 4*c in the form i + g*c and give i. -374 Rearrange (-4 + 2 + 0 - 2 - 1 + 2 + (3 + 0 - 1)*(-4 + 8 - 5) + 0 + 2 - 1)*(-12*m**3 - 45*m**2 + 45*m**2) to the form p*m**3 + k*m + o + n*m**2 and give p. 48 Rearrange ((0 - 3 + 2)*(3*r**2 + r - r) + 3 - 3 - 2*r**2 - 4*r**2 - r**2 + 4*r**2)*(86*r + 48*r - 2 - 107*r) to the form f*r**2 + z*r + w + i*r**3 and give w. 0 Express -14 - 2*a**3 - 14 - 22 + 3*a + 72 - a**2 - 20 as w + k*a**3 + z*a + d*a**2 and give z. 3 Rearrange (-4 + 1 + 4)*(2299 + 687 + 1158)*(b - 3*b + 0*b) to d + h*b and give h. -8288 Rearrange 22 - 211*v - 49 + 27 to the form c*v + i and give c. -211 Express 21*v + 43*v - 23*v + (v + 0 + 0)*(-2 + 3 + 0) + 0*v + v + v + v + 2*v - 5*v + 4*v - 3 + 3 as b + w*v and give w. 46 Express (-7*t - 10*t - 17*t)*((-2 - 2*t + 2)*(3 + t - 3) + 0*t**2 + t**2 + 0*t**2) as k*t**2 + o*t + v + w*t**3 and give w. 34 Rearrange (1 + 2 - 4)*(-6 + 18 - 13)*(0*u**3 + 6*u**3 - 5*u**3 + (u**3 + 3*u**2 - 3*u**2)*(1 - 1 - 4)) to the form x*u**2 + j*u + k + w*u**3 and give w. -3 Express -784*x - 442*x + 219*x as h*x + q and give h. -1007 Rearrange (-120*j - 133*j - 98*j - 76*j)*(0 + 3 - 1)*(8 - 1 - 8) to h + f*j and give f. 854 Rearrange ((24 - 24 + 20*j)*(j - j - j) - 6*j**2 - j**2 + j**2)*(-1 - 3*j - 3*j + 9*j) to the form m*j**2 + c*j + a*j**3 + d and give m. 26 Express (3 - 3 - g)*(0 + 0 - 1) + (-2*g + 0*g + 3*g)*(-3 + 3 + 6) in the form j*g + u and give j. 7 Rearrange 13*j**3 + 162*j**2 - 164*j**2 - 16*j**3 + 2*j to the form t*j**2 + m + q*j**3 + b*j and give t. -2 Rearrange -88*m**2 + 168*m**2 + 2*m + 207 - 82*m**2 to the form w + o*m**2 + g*m and give g. 2 Rearrange ((-p**2 - 2*p**2 + p**2)*(-3*p - p + 2*p) - 5*p + 5*p + p**3)*(39 + 5 - 3)*(0 + 1 + 1) to o*p**2 + j + u*p + t*p**3 and give t. 410 Express 2*c**4 + c**4 - c**4 + (-10*c**2 - 2*c**2 - 2*c**2)*(c**2 + 2*c**2 + 3*c**2) as l*c**2 + y*c**3 + g*c + k*c**4 + v and give k. -82 Express -k**3 + 3*k**2 - 2*k - 9*k + 3 + 4 + 1 + 10*k + 6*k**4 in the form q*k + u*k**4 + p*k**3 + x + l*k**2 and give u. 6 Express (-4*g**3 + 21*g**2 - 21*g**2)*(-592 + 255 + 173) as b*g + m*g**3 + l + z*g**2 and give m. 656 Rearrange 109*j**2 - 69*j**2 - 254*j**2 to the form z*j + y + n*j**2 and give z. 0 Rearrange -j**2 - 4419 + 3*j**2 + j**3 + 4421 to n + u*j**2 + v*j + a*j**3 and give u. 2 Rearrange 1 - g**2 + g**4 - 7*g**4 - 4*g**3 - 6*g**4 - 2*g + 23*g**4 - 9*g**4 to the form u*g**4 + m*g**2 + r*g + d*g**3 + j and give j. 1 Express (2*y + 0*y - 4*y)*(-532*y**3 - 166*y**3 + 128*y**3) - 2*y**4 + 2*y**3 - 2*y**3 as a*y + w*y**4 + l*y**3 + t + n*y**2 and give w. 1138 Express 154*z + 122 - 122 in the form x*z + o and give x. 154 Express -10*w**2 + 4 - 28*w**2 - 3 - 510*w + 512*w in the form c*w**2 + g*w + h and give c. -38 Rearrange -100*t**3 - t**2 + 102*t**3 - t**2 + 2*t**4 + t - 2 to the form o + d*t**3 + s*t + q*t**4 + n*t**2 and give s. 1 Express 362*z**2 - 129 + 129 in the form f*z + p + k*z**2 and give f. 0 Rearrange -66 + 36 - 54*s + 30 - s**2 to a*s + i*s**2 + u and give i. -1 Express -29*c - 112*c + 30*c + 22*c in the form l + z*c and give z. -89 Express ((5 + 1 - 5)*(-b + b - 2*b) + 0*b + 2*b + b + b + 3*b - 3*b)*(-92 - 52 + 248)*(b + b + 0*b) in the form f + r*b**2 + v*b and give r. 416 Express -38 - 33 - 36 + 106 - 86*f in the form s*f + a and give a. -1 Express (34*i + 18 - 41 - 9*i + 19)*(5 + i**3 - 5) in the form m + g*i**3 + h*i + w*i**4 + t*i**2 and give g. -4 Express -374*h - 117*h - 71*h in the form q*h + g and give q. -562 Rearrange 2*p + 3*p**3 + 5*p**2 - p**3 - 63 + 31 + 32 to b*p**3 + k*p**2 + o + g*p and give g. 2 Express (-2*q**2 + 0*q**2 - 8*q**2)*(0 + 5 - 3) - 127 + 12*q**2 + 127 as d + m*q + b*q**2 and give b. -8 Rearrange -w**2 + 95*w**3 - w + 83*w**3 + 148*w**3 to v*w + c*w**2 + z*w**3 + d and give v. -1 Rearrange 45*n + 0*n + 93*n + (5 - 1 - 3)*(4*n - n - 2*n) + (0*n - 4*n + 2*n)*(1 - 3 - 1) to the form f*n + i and give f. 145 Rearrange (11 - 4 - 4 + (-1 - 1 - 1)*(0 + 3 - 1))*(-m - 2*m + m) to j*m + p and give j. 6 Rearrange (17 - 22 - 8)*(2*t - 4*t + 3*t)*(-4 - 2 + 4)*(-9*t + 22*t - 2 - 11*t + 7*t**2) to the form x*t**2 + y*t + p + m*t**3 and give y. -52 Rearrange (9 + 2 - 19)*(-2 + 2 - 2)*(-3 + 3 + 1)*(0*g - 8*g + 2*g)*(-g + 4*g - 2*g) to u + n*g**2 + h*g and give n. -96 Express 116*q**3 - 2 - 97*q**3 + 100*q**3 in the form d*q**3 + h*q + y + z*q**2 and give d. 119 Express -26413*o - 304*o**2 + 26413*o as t + f*o**2 + w*o and give f. -304 Express 2 + 4*s - s - 5*s + (-194 + 113 + 495)*(2*s + 0*s - 4*s) in the form x*s + l and give x. -830 Express 3*v**2 + 0 - 4 - 3 - 8*v + 9 as y*v**2 + w + c*v and give y. 3 Express 10*z - 178*z + 2 + 81*z in the form i*z + h and give i. -87 Rearrange 3*k + 0*k - 5*k + (4*k - 3*k - 4 + 8)*(10 - 3 + 0) to the form f*k + o and give o. 28 Rearrange -5 + 1 + 4 - 30*p - 19*p to x*p + m and give x. -49 Express -4*u**4 + 1657*u + u**4 + 4 + 4*u**3 - 2*u**2 - 1658*u in the form h*u**4 + r*u**2 + d*u**3 + m + y*u and give d. 4 Express (5*g + 39*g - 3*g**2 + 2*g**2 + (0*g**2 + 0*g**2 - 2*g**2)*(-2 + 3 + 1))*(-1 + g + 1) in the form o + y*g + m*g**3 + d*g**2 and give d. 44 Express 52*d + 10489 + 1118*d - 10489 in the form h*d + t and give h. 1170 Rearrange (h**2 - 1 + 1)*(3*h**2 + 2*h**2 - 6*h**2 + (-2*h + 4 - 4)*(-13*h + 7*h + 18*h)) to p*h**2 + m + b*h**4 + j*h + w*h**3 and give b. -25 Express (3 - 17 - 2)*(5*i + i - 2*i) + 0 + 0 - i as b*i + g and give b. -65 Express (0*v**2 + 0*v**2 + v**2)*(21 - 25 + 73*v + 5) in the form u*v**2 + t + q*v + k*v**3 and give u. 1 Rearrange ((-3 + 0 + 4)*(2 - 1 + 1)*(-3 + 2*l + 3) + (7*l - 4*l + 0*l)*(5 - 1 + 12))*(-1 + 0 + 2) to c*l + n and give c. 52 Rearrange -2 + 177*m - 243*m + m**3 + 119*m + 2*m**2 to i*m**2 + s + c*m + f*m**3 and give c. 53 Rearrange -184*o**4 - 4*o**2 + 9*o**3 - 6*o**3 + 186*o**4 - 2 to the form r + s*o + u*o**4 + l*o**3 + j*o**2 and give l. 3 Express -13*p + 1262*p**2 + 6*p - 14*p + 21*p as v*p**2 + y*p + n and give v. 1262 Rearrange -219*z**4 + 155*z**4 + 176*z**4 + 3*z + 4 + 2*z**3 + (0*z**2 - z**3 + 0*z**2)*(z - z - z) to f*z**2 + x*z**3 + a + k*z + g*z**4 and give g. 113 Express -371 - 379 + 1125 + 823*c - 373 in the form s + p*c and give s. 2 Express (-3*i + 0 + 0)*(1 + 4 - 4)*(6*i - i - 4*i)*(6*i - 4*i - i)*(-2 - i + 2) as f*i**2 + w*i**3 + s*i + c + o*i**4 and give o. 3 Rearrange -2*i - 1 + 1 - i + 8*i - 2*i + (-3*i - 2*i + 3*i)*(-3 + 3 - 2) + 11 - 11 - 15*i + (2*i - 5*i + 2*i)*(-4 + 4 - 2) to j*i + z and give j. -6 Express (-8*g**3 - 49*g**3 + 0*g
{ "pile_set_name": "DM Mathematics" }
+ 3 - 2)*(-f + 0*f - 3*f)*((-2 + 1 + 4)*(-6 + 3 + 2) + 1 - 3 + 3). -1024*f Expand -4*a**4 + 0*a**2 + 0*a**2 + (-3 + 2 + 3)*(3*a**3 + a**4 - 3*a**3) - 5*a - 1785*a**2 + 1785*a**2 - 3*a**4 - 2 - a**3. -5*a**4 - a**3 - 5*a - 2 Expand (25 + 8 - 16 + (2 + 1 - 2)*(0 + 2 - 3))*(7*s + 2 - 17*s + 8*s). -32*s + 32 Expand (969*m**2 - 222*m**2 - 322*m**2)*((2*m - 3*m + 3*m)*(-m - 4*m + 4*m) + 0 + 0 + m**2). -425*m**4 Expand (h**2 + 3*h**2 - 6*h**2)*(73 - 73 + 233*h - 689*h) + 6*h**3 - 2*h**3 - 3*h**3. 913*h**3 Expand (5 + 0 + 0 + (-4 - 1 + 3)*(-2 + 2 + 1) - 12 + 0 + 3)*(6*w**2 + 0*w**2 - 2*w**2). -24*w**2 Expand (7*t**4 - 3*t**4 - t**4)*(0 + 11 - 8)*(5*t + 4*t - 5*t). 36*t**5 Expand (-1 + 8 + 16)*(21*p + 24*p + 14 - 43*p). 46*p + 322 Expand (-5 + 3 + 0)*(-3*u + 3*u + 2*u) - 2*u - u + u + 2*u - 4*u + 3*u + (5 - 4 - 2)*(-1 + 4*u + 1) - u + u + 2*u. -7*u Expand (3 - 3 + 5*p)*((4 - 5 + 0)*(4 + 0 - 2) + 5 - 45 + 23 - 1 + 0 + 0). -100*p Expand -2*l**4 - 4*l**4 + 2*l**4 + (2*l**2 - 4*l**2 + 4*l**2)*(9*l**2 - 8*l**2 - 20*l**2). -42*l**4 Expand (0 - 1019*d + 1171*d + 0)*(-2*d**4 + d**3 - d**3). -304*d**5 Expand (-3*b**2 - b**2 + 3*b**2 + (b**2 + 3*b**2 + 0*b**2)*(-14 + 6 - 8))*(0*b + 0*b + 2*b). -130*b**3 Expand -2214*p + 2214*p + 164*p**2 + (2*p - 2 + 2)*(-2*p - 3*p + 3*p). 160*p**2 Expand (4 - 5 + 3)*(-38 - 90 + 13)*(g + 1 - 1)*(-4 + g**4 + 4). -230*g**5 Expand (-2 + 3*a**3 + 2)*(-38*a + 2 + 131*a - 3). 279*a**4 - 3*a**3 Expand (5*o - 5*o + 6*o)*(-4*o - 5*o + 10*o + 5). 6*o**2 + 30*o Expand (-2 + 2 + y)*(-y - 2*y + 4*y) - 560*y + 7*y**2 + 560*y. 8*y**2 Expand -2*l**4 - 4*l + 4*l + (5 - 3 - 3)*(l**4 - 4*l + 4*l) + l**4 + l**4 - 4*l**4 - 2*l**3 + 2*l**3 + 2*l**4 - 10*l**4 - 6*l**2 + 6*l**2. -13*l**4 Expand (0*r - 1 + 0 + 2*r)*(-r**3 + 4*r**3 - 2*r**3) - 16933*r**3 + 80*r**4 + 16933*r**3. 82*r**4 - r**3 Expand 4*a**2 - 6*a**2 - 5 - 10*a + 11*a + (-3 + 3 + 3*a)*(-4*a + 4*a + a) - 5 + 5 - 3*a**2. -2*a**2 + a - 5 Expand (4*b - 6*b**2 - 4*b)*(287 + 3*b - 147 - 139 + 2*b**2). -12*b**4 - 18*b**3 - 6*b**2 Expand (3*y**2 + 3*y - 3*y)*(-1 - 4 + 4)*(3*y**3 + 2*y**3 - 19*y**3) + y**5 - 4*y**5 - 3*y**5. 36*y**5 Expand (11 - 15 + 19)*(-5 + 5 + 1)*(2 - 17*r + 2 - 5). -255*r - 15 Expand 0*k**4 + 0*k**4 - k**4 + (0 + 5 - 3)*(k**4 + 1 + 1 - 4). k**4 - 4 Expand 5*c**2 - 2*c**2 + 2*c**2 + (c + 0*c + c)*(-4*c - 3*c + 6*c) + 2*c**2 - 7*c**2 + 3*c**2 + (6*c**2 - c**2 - c**2)*(6 + 1 - 1). 25*c**2 Expand ((-3 + 1 + 0)*(-f + 2 - 2) + 2*f - f + f - f - 5*f + 3*f)*(0 + 4 + 1). 5*f Expand (-18 + 18 + 898*g**2 - 477*g**2)*(2*g**3 - g + g). 842*g**5 Expand (-5*t**3 - 33*t**3 + 75*t**3)*(1 - 2 - 2*t + 3*t) + (0 + 0 - t**3)*(2 - 2 - t). 38*t**4 - 37*t**3 Expand (-3*i + 0*i + i + (3 + 1 - 2)*(4*i + 123 - 123)*(5 + 1 - 4))*(0*i - i - 3*i). -56*i**2 Expand (-f - f + 0*f)*(64 - 110 - 77). 246*f Expand (179 - 9*b - 179)*(-b + 2 - 2)*((5 - 4 + 3)*(2*b - 2 + 3*b - 8*b) + b - 3*b + b). -117*b**3 - 72*b**2 Expand (4*y - y - 2*y)*(41*y**2 + 0*y**3 + 2*y**3 - 67*y**2) - 2 + 2 + 2*y**4. 4*y**4 - 26*y**3 Expand 0*v**3 + 2*v**3 - v**3 - 6 + (4*v - 16*v - 39*v)*(-1 + v**2 + 1). -50*v**3 - 6 Expand (5*k**3 + 2*k - 2*k)*(3*k**2 + 2*k**2 - 4*k**2) + 24*k**5 + 3*k**5 + 35*k**5. 67*k**5 Expand (-2 + 3 - 2)*(2 + 3*j**2 - 2)*(-j**2 - j + j)*(4 - 4 + 2)*(-3 + 4 - 3) + 113 - 79*j**4 - 113. -91*j**4 Expand (5*f**3 + f**4 - 5*f**3)*(f + 2*f - 5*f + 11*f - 8*f + 10*f + (2*f - 1 + 1)*(1 - 2 + 0) - 2*f + 0 + 0 + 3*f - 3*f + 3*f). 10*f**5 Expand (-2 + 7 + 2)*(2*k + 4*k - 2*k)*(-1 - 4 - 2). -196*k Expand (0*a + 0*a - a)*(-2 + 2 - a**2) + (2*a**2 + 2*a**2 - 2*a**2)*(0*a - 2*a + 4*a). 5*a**3 Expand (-3*a**2 + 6*a**2 - 4*a**2)*(0*a + 2*a + 0*a) - 44*a**3 - 220*a + 220*a. -46*a**3 Expand (7 - 7 - 11*m)*(0*m**3 + m**3 + 0*m**3) + (-4*m + 7*m**2 + 4*m)*(0*m**2 - m**2 + 0*m**2). -18*m**4 Expand -7*n**5 - 4*n**5 + 2*n - 4*n + (0*n + 5*n - 3*n)*(0*n**3 + 2*n**4 + 0*n**3) - 3*n**5 - 3*n**5 - 2*n**5 + 4*n**5 - 2*n**5 + 2*n**5. -11*n**5 - 2*n Expand -13*y**4 + 8*y - 8*y + ((0 + 2*y + 0)*(-y + 4*y + 0*y) + 6*y - 6*y - 2*y**2)*(1 + 2*y**2 - 1). -5*y**4 Expand k**2 + 9*k**3 + 1006 - 1006 + (-1 + 1 + 2*k - k + 5 - 5 + (1 - k - 1)*(-3 + 5 - 1) + 3*k - 3*k + k)*(-k - 2 + 2)*(0 + 2*k + 0). 7*k**3 + k**2 Expand (h**2 - 4*h**2 + 2*h**2)*(0*h + 3*h - h) + h**3 + 2*h - 2*h + 2*h**2 - 2*h**2 - h**3 + (0*h**3 + 5*h**3 - 4*h**3)*(0 - 6 + 3) - 3*h**3 - h**3 - 2*h**3. -11*h**3 Expand (c + 2*c - c)*(53*c**2 - 53*c**2 + 56*c**4 - 2*c + 2*c**4 + 2*c + (3*c + 0*c - c)*(2*c**3 - 6 + 6)). 124*c**5 Expand (-6 + 2 + 0)*(0*l - 3*l + 2*l) - 2*l + 0*l - 8*l. -6*l Expand (-s - 2 + 0 - s)*(2 - 2 - 2)*(-39*s**2 + 9*s**2 - 101*s**2). -524*s**3 - 524*s**2 Expand (2 - 2 + 8*d)*(33 + 5 - 6). 256*d Expand (-2 - 2*s**2 + 2)*(-8*s**2 + 9 - 9) + 2*s**4 - s**3 + s**3 + 8*s**4 - 10*s + 10*s. 26*s**4 Expand -2 - 10*q**2 + 9*q**2 + 3 + (-3*q - 2*q + 3*q)*(2*q + 0*q - 3*q) + 0*q**2 - q**2 - 2*q**2. -2*q**2 + 1 Expand (0 - 2 + 3 + (0 - 1 - 1)*(3 + 2 - 7) - 1 + 5 - 2)*(-2 - 3*y + 8*y - 3*y - 2*y**2). -14*y**2 + 14*y - 14 Expand (-2*x + 4*x - x)*(30 - 4 + 12)*(-x**2 + x**2 + x**2). 38*x**3 Expand (2*y + 2*y - y + (-4 + 1 + 6)*(-2*y - y + y))*(23 + 39 - 45). -51*y Expand (1 - 1 - 1)*(-2*q**3 + q**3 + 0*q**3 - 2*q**3 + 3*q - 3*q + (3 - 2*q**2 - 3)*(-1 + 2*q + 1) - 6*q**3 + 0*q**3 - 4*q**3). 17*q**3 Expand (-6 + 1 + 23)*((-5*c**3 + 6*c**3 + c**3)*(-7*c + 5*c - 6*c) + c**4 - c**3 + c**3). -270*c**4 Expand 0*y + 4*y - y + (2 - 3 + 3)*(0 + 2*y + 0) - y - y - 3*y. 2*y Expand -2*j**2 + 0*j**2 + j**2 + (-j - 2*j + 5*j)*(5*j - 4*j - 3*j + (-3*j + 4*j - 3*j)*(-1 + 0 + 0) + 5 - j - 5 - 2*j + 5 - 5). -7*j**2 Expand j**2 + 0*j**2 - 2*j - 2 + 0*j + (0*j + 84*j + 144*j)*(-2*j + 2 - 2). -455*j**2 - 2*j - 2 Expand (-1 - u + 1 + (2*u + 3*u - 3*u)*(1 + 1 + 0) - 3*u - 4*u + 12*u + 0*u - u + 3*u + (2 - 3 + 3)*(-4*u + u + 4*u) - 4 - u + 4)*(-2 + 2 - u). -11*u**2 Expand (-2*n + 4*n - 3*n)*((3 + n**2 - 3)*(3*n - 4 + 4) + n**3 - 13*n**3 - 24*n**3 + n**3 + n**3 - 4*n**3). 35*n**4 Expand (i + 2 - 2)*(-5*i + 4*i + 2*i + (6 - 7 + 36)*(-4*i - 23 + 23)). -139*i**2 Expand (526*p - 5 + 11 - 6 + 23*p)*(-1 + 2 - 6). -2745*p Expand 0*f - 2 + 3*f - 5*f + (-1 + 1 - 1)*(-6*f + 0*f - f). 5*f - 2 Expand w**4 + 0*w**4 - 24*w**4 + w - w**4 - w + (0*w + w**2 + 0*w)*(-4*w**2 + 8 - 8). -28*w**4 Expand b - b**5 - b - 91*b**4 + 91*b**4 + 4*b**5 + (-b**3 - 2*b**3 + 4*b**3)*(-b**2 - b**2 + 0*b**2). b**5 Expand (2*z**3 - z**3 - 2*z**3)*(-2*z**2 + 3*z**2 - 2*z**2) - 3*z**2 + 123 + z**5 + 2*z**2 - 125. 2*z**5 - z**2 - 2 Expand (-9 + 9 - 2*v)*(2*v + 17*v - 11*v + 3 - 3 + v + 0*v - 3*v + v - 3 + 3 + 2*v + (-3 - 3 + 5)*(v + 2 - 2) - v - 3*v + 3*v). -14*v**2 Expand (1 - 6 + 3)*(-5 - 9 + 4 - 3*f). 6*f + 20 Expand (1 + i - 1)*(24 - 24 - 54*i)*(-3 + 2 - 3). 216*i**2 Expand (-4*j**2 - 15*j**2 - 10*j**2)*(-36*j - 67 + 67 + 108*j). -2088*j**3 Expand (3*u**2 - 10*u**2 + 18*u**2)*(-5*u**2 + u**2 + 3*u**2) - 5*u**4 - 3*u + 2*u**4 + 4*u. -14*u**4 + u Expand 5*z**3 - 2*z**3 - z**3 + (487 - 11*z - 487)*((-2 + 7 - 3)*(0*z**2 - z**2 + 2*z**2) - z**2 - z + z). -9*z**3 Expand (-47*z**2 + 309*z - 309*z)*(-z - 9*z + 2*z) + (-4 + z + 4)*(-z**2 + z**2 - 2*z**2). 374*z**3 Expand ((84 - 193 - 87)*(y - y + 2*y) - 3 + 3 - 2*y)*(-1 + 2 + 0). -394*y Expand 5*x**4 - 5*x**4 - 135*x**3 + 2*x**2 + x**4 + (0*x**2 + x - 5*x**2 + x**2)*(-5*x**2 + x**2 + 2*x**2). 9*x**4 - 137*x**3 + 2*x**2 Expand (-4*r**4 - 17*r + 17*r)*(-8*r - 22*r + 11*r). 76*r**5 Expand (-g - 4*g + 4*g)*(3 + 2 - 2)*(-1 + 0 - 1)*(-6 - 1 - 1)*(-2 + 2 + 3). -144*g Expand 30 - 2*q + q**3 - 30 + (2*q**2 + 2*q**2 + 6*q**2)*(-2*q - 2*q + 2*q). -19*q**3 - 2*q Expand 0 + 0 - 4*k**2 + (k - 2*k + 0*k)*(-k + 0*k - 8*k). 5*k**2 Expand 49*y - 35*y - 46*y + (1 + 5 + 3)*(y - 2 + 2) - 4*y + y + 5*y. -21*y Expand (1 + 2 - 1)*(0 + 3*c**3 + 0) + 12*c**2 - 12*c**2 + 29*c**3. 35*c**3 Expand (4*k**2 + 0*k**2 - 5*k**2 + (-1 - k**2 + 1)*(1 + 2 - 5))*(k**3 - 21 + 21 + k). k**5 + k**3 Expand (3*b**4 + 0 + 0)*((-8*b - 25*b + 0*b)*(-4 - 1 + 3) + (-1 - 4 + 6)*(1 + b - 1)). 201*b**5 Expand (-662*j**2 - 298*j**2 - 459*j**2 + 463*j**2)*(0*j + 0*j + 2*j**2 + j**2 + j**2 - 4*j**2 + (-j + 3*j - 3*j)*(-5*j + 4*j + 3*j)). 1912*j**4 Expand 28*y + 56*y - 9*y + (2*y - y + 0*y)*(3 - 3 - 1). 74*y Expand (-147 + 31 - 94 - 21)*(5*k + k - 3*k)
{ "pile_set_name": "DM Mathematics" }
). Suppose 5*g = 0, i + 5*g - 9 - 3 = o. Let u be 12/10*30/i. Determine b(u). 6 Let h(a) = -3*a**2 + 9*a - 6. Let x(b) = 2*b**2 - 8*b + 4. Let l(w) = -3*h(w) - 4*x(w). Let j(z) = z**3 - 2*z**2 - z - 2. Let n be j(2). Determine l(n). -2 Let h(c) = c**2 - 4*c - 7. Suppose 2*y - 10 = -3*y. Suppose -2*u = -u + y. Let p = 4 - u. What is h(p)? 5 Let w(y) = 2*y**3 + 1. Let c be 1/(6 - 3 - 4). Determine w(c). -1 Let q(p) = -3*p - 6. Let i(d) = -2*d - 1. Let t(x) = -6*i(x) + q(x). What is t(-3)? -27 Let q(t) = t**3 - 6*t**2 + 5*t + 2. Let z be 1 - (-13)/5 - (-126)/315. Determine q(z). -10 Suppose 0*x - 3 = -3*x. Suppose -q + 0 + x = 0. Let c be 2*(-5 - -3)*q. Let v(s) = s**2 + 3*s - 4. Give v(c). 0 Let v(c) = c - 7. Let z(s) = 2*s - 15. Let d(b) = 7*v(b) - 3*z(b). Determine d(6). 2 Let u(s) be the first derivative of 4*s**3/3 - 3*s**2/2 - 3*s - 5. Let d(f) = -3*f**2 + 2*f + 2. Let w(x) = 6*d(x) + 4*u(x). Determine w(2). -8 Let a(i) be the second derivative of i**5/60 - i**4/24 - i**3/6 - 2*i**2 - 2*i. Let j(l) be the first derivative of a(l). Determine j(-1). 1 Let c(z) = 2*z**3 + 2*z**2 - 2*z - 2. Let q be c(-2). Let j be q + 3 + 1 + 2. Let y(o) = o + 1. What is y(j)? 1 Let v(l) = -7 + l - 12*l + 3*l + 5*l**2 + l**3. Let d be (3/(-2))/((-2)/(-8)). What is v(d)? 5 Let h(b) = -b**2 + 5*b + 1. Let y(p) = -2*p - 7. Let s(t) = 3*t + 10. Let m be s(-7). Let o be y(m). Suppose -d - o = -4*d. Calculate h(d). 1 Suppose -4 = 4*q - 12. Let n = 7 - q. Suppose 2*m + n*y + 0*y = -25, 5*y = -15. Let l(o) = -o - 11. Determine l(m). -6 Let q(x) be the second derivative of -x**5/20 - x**4/3 - 2*x**3/3 - x**2 - 6*x. Give q(-2). -2 Suppose 5 = -3*j + 2*s, 4 = -4*j - s + 3*s. Let l(c) = -7*c**2 + 1. Calculate l(j). -6 Let q(z) = z**3 - 5*z**2 + z. Suppose -3 = 3*c - 18. Give q(c). 5 Suppose 1 - 3 = -b. Let g(w) = -7*w - 2 - w**b + 3*w - 2*w. What is g(-4)? 6 Let o(z) = -z - 5. Suppose 6*q = -2*q. Give o(q). -5 Let t(s) = -3*s + 3. Let g be -2 - (4 + -4) - (1 - 7). Calculate t(g). -9 Let n(f) = f**2 - 8*f + 3. Let p be n(8). Suppose b = p + 2. Let j(i) = 2 - 5 - i + b. What is j(5)? -3 Let t be (1/2)/(1/6). Let x(m) = -m - m - 5*m + t*m. Calculate x(-2). 8 Let y = 9 + 1. Let h(z) = z - z**2 + 1 - y + 5*z. Calculate h(6). -9 Let d be 3/(-4) - (-34)/24. Let q(h) be the second derivative of 1/12*h**4 + 3/2*h**2 + 0 + d*h**3 + 2*h. What is q(-2)? -1 Let m(y) be the third derivative of -y**5/60 - y**4/12 - y**3/3 + 7*y**2. Let q(c) = c**3 + 13*c**2 - c - 16. Let k be q(-13). Determine m(k). -5 Let s(g) = -g - 4. Let c(l) = 1. Let u(w) = -3*c(w) + s(w). Determine u(0). -7 Let d(q) be the first derivative of 2*q**3/3 - q**2 - 2*q + 2. Let x(k) be the first derivative of d(k). Give x(2). 6 Let s(q) = q**2 - 1. Let n(i) = i**2 + 2*i - 3. Let u be n(-4). Suppose -u*l + 3*c + 27 = 0, 6 - 29 = -l + 5*c. Determine s(l). 8 Let l(a) be the second derivative of 5*a**3/3 + a**2/2 + 10*a. Calculate l(-1). -9 Let p be 2/3 + (-12)/18. Suppose -5*a - 26 = w, -4*w - 5*a - 44 = -p*a. Let i(d) = -d**3 - 7*d**2 - 7*d + 1. Determine i(w). 7 Suppose -j - 2*y + 21 = 5, 5*y - 61 = -4*j. Let i be 52/j - (-2)/7. Let z(v) = -5*v + i*v + 2 + 4*v**2 - v - v**3. What is z(4)? -6 Suppose -k - 6 = -0. Let y(f) = -f**3 - 6*f**2 + f + 5. Give y(k). -1 Let n(l) = 43*l**2 - 20*l**2 + 3*l + 3*l - 4*l + 1. What is n(-1)? 22 Let a be -2 - 2 - 0 - -10. Let p(s) = -2*s + 5. What is p(a)? -7 Let t(d) = -d**2 + 6*d - 3. Let h(i) = -i**2 - 1. Let g(y) = -2*h(y) + t(y). Calculate g(-6). -1 Let l(w) = -w**3 + 2*w**2 + w. Let g be 2*(3 - 8/4). Determine l(g). 2 Let b(g) = g**2 + 6*g - 4. Let u be b(-6). Let i(v) be the second derivative of -1/2*v**3 + 0 - 2*v**2 + 2*v. What is i(u)? 8 Let i be ((-9)/6)/((-3)/(-4))*2. Let s(f) = -5*f - 4. Give s(i). 16 Suppose 0 = -3*p + 2 + 4. Let x(w) = w**3 + 7*w**2 + 4. Let u be x(-7). Suppose 4*y - u*d = -y - 3, -p*y - 2*d = 12. Let i(t) = -2*t. Calculate i(y). 6 Let a(z) = 6*z + 3. Suppose 0 = 2*h + 3*h + 90. Let f be 40/h + (-2)/(-9). What is a(f)? -9 Let z(y) = -y**3 + 4*y**2 + 8*y - 5. Let f = -15 + 20. What is z(f)? 10 Let c(q) = -13*q**2 + q. Suppose -a + 3*a = 6. Suppose -a*s + 5*n + 3 = 0, -n - 3 = 4*s - 7. Give c(s). -12 Let m(i) = -1 - i**2 + 4*i**2 - 4*i**2. Suppose 3*t - 20 = -2*t. Let v be 2 - (1 - t/4). Determine m(v). -5 Let c(d) be the first derivative of 1/4*d**4 + 2 - 2/3*d**3 + d**2 + d. Determine c(2). 5 Let r = 0 - -3. Suppose d - 3*q = -2*q + r, -3*q = -9. Let m(o) = -o + 3. Give m(d). -3 Let d(n) = -3*n**2 - 2*n. Suppose 0 = 4*b + o + o, -4*b + o - 12 = 0. Give d(b). -8 Suppose 0 = 7*l - 2*l. Let f = 0 - -3. Let o(j) = -5 + 2 - f - j. Determine o(l). -6 Let o = -35 - -39. Let p(a) = -a + 4. What is p(o)? 0 Suppose -4*v - 4*i + 28 = 0, -4*v - v + 21 = -2*i. Let a(r) = -r**3 + 4*r**2 + 3*r + 2. Determine a(v). -8 Let j(f) = -f**2 + 11*f - 8. Let u(w) = 5*w**2 - 56*w + 40. Let m = -16 - -27. Let q(h) = m*j(h) + 2*u(h). Let z be q(8). Let t(x) = x - 2. Calculate t(z). -2 Let s(u) be the third derivative of u**4/8 + 7*u**3/6 - 3*u**2. Let t(z) = z + 3. Let l(o) = 2*s(o) - 5*t(o). What is l(5)? 4 Let t(o) = o**2 + o - 1. Let i(l) = -l**3 + 4*l**2 - 6*l - 4. Let u(p) = -i(p) - 3*t(p). Give u(6). -11 Let f(c) = -c**3 + 2*c**2 - c + 3. Let n be (-9)/12*-2*2. Suppose -n*y = -2*y - 9. Suppose -u = -4*u + y. What is f(u)? -9 Let u(a) = -8 - a**2 + 6 + 6*a + 0. Give u(5). 3 Let g(p) = -p**3 + 5*p**2 - 5*p. Let i(l) = l**3 - 15*l**2 - 15*l - 11. Let u be i(16). Give g(u). -25 Let b(v) = 2*v**2 + 2*v + 0 + 2*v + 7 - 3*v**2. What is b(6)? -5 Let y = 7 - 10. Let s(i) = -4*i + 27 - 4*i**2 - 62 + 3*i**2 + 32. Calculate s(y). 0 Let r(q) be the first derivative of -q**3/3 + 3*q**2 - 9*q - 3. Calculate r(6). -9 Let a(o) = 13*o**3 - 2*o**2 + 2*o - 1. Let j be (6/9)/((-2)/(-3)). What is a(j)? 12 Let m(y) = y**3 - y**2 + 11. Let s = -14 - -24. Let a be 4/10 - s/25. Determine m(a). 11 Let r(i) be the second derivative of -i**4/3 + i**3/3 + i**2/2 - 2*i. Let k(w) = -w**2 - w - 1. Let d(c) = -3*k(c) + r(c). Determine d(5). 4 Let u(d) = 0*d - 4 - 3*d - 3*d + 4*d. Calculate u(-6). 8 Let j(d) be the first derivative of 5*d**4/2 - 2*d**3/3 + d**2 - d + 11. Give j(1). 9 Let b be 4/(0 + 2/(-2)). Let z be (7/(-4))/(1/(-4)). Let l(h) = -3*h**2 - 22*h - 8. Let j(u) = -u**2 - 7*u - 3. Let c(i) = z*j(i) - 2*l(i). Calculate c(b). -1 Let z(i) = -i + 4. Let x(f) = 2*f - 5. Let b(v) = 2*x(v) + 3*z(v). Calculate b(-5). -3 Let c(b) = -5*b**3 + 3*b**2 + 2*b - 6. Let g(x) = -x**3 + x - 1. Let t(u) = c(u) - 6*g(u). What is t(-4)? 0 Suppose -5*j + 6 = -3*k + 1, -4*k = -2*j + 16. Let u(i) = i**2 + 5*i - 1. What is u(k)? -1 Let u(r) = 3*r - 2. Let s(p) = 3*p - 3. Let y(h) = 4*s(h) - 3*u(h). Let c(o) = -o**3 - 7*o**2 - o + 3. Let g be c(-7). Suppose -g = -v - v. Calculate y(v). 9 Let v(j) be the first derivative of 11*j**4/4 + j**2/2 + 10. Determine v(-1). -12 Let g = -26 + 18. Let f(c) = c + 11. Determine f(g). 3 Let i(o) = -o + 0*o - 3 + 1. Let f(w) = -w**3 - 4*w**2 + 2*w + 6. Let n be 2/(2/(-3)) - 1. Let k be f(n). Give i(k). 0 Suppose 3*y + 2*i = -y - 12, -5*y - 9 = i. Let t be (-18)/8 - y/4. Let w(n) = -2*n**2 - 2*n - 1. Determine w(t). -5 Let q(k) = -k**3 - 6*k**2 + k + 8. Let u(c) = -c**3 - 5*c**2 + 2*c + 7. Let p(z) = -3*q(z) + 4*u(z). Calculate p(-3). -2 Let x(b) = 2*b + 3. Suppose 0 = -g - 2*g - 9, 0 = -2*c - 3*g - 25. Let f be (-6)/c + (-26)/(-8). Suppose 3*w = -3*s, -f*s + 0*w = 3*w + 2. Calculate x(s). -1 Let s = 1 - -1. Let c(x) = -s*x + 5*x - 1 - x. Suppose -2*y = 4*t + 6, -4*t - 9 = 3. Determine c(y). 5 Let m(r) = -r**2 - 2*r + 2. Let d(g) = -g + 1. Let v(y) = 13*d(y) - 6*m(y). Suppose 2*h = -3*h + 5. Suppose -2*b + 3*b - h = 0. What is v(b)? 6 Let z(v) be the first derivative of -v**3/3 - 2*v**2 + 7*v + 11. Let i = -5 + 3. Let j be 2 + i + -1*6. What is z(j)? -5 Suppose -h - h = -8. Let n(y) = -y**3 + 4*y**2 - 2. Give n(h). -2 Let c(g) = -g**3 + g + 1. Let n(j) = -4*j**3 + 4*j - 3. Let d(o) = -3*c(o) + n(o). What is d(0)? -6 Let u(n) = 3*n - 4 - 1 + 7. Let h(y) = 8*y + 5. Let b(v) = 4*h(v) - 11*u(v). Give b(4). -6 Let z(t) = -t**2 + 12*t - 6. Let q be z(10). Let u(w) = -w**2 + 14*w - 1. Calculate u(q). -1 Let s(q) = -q**2 + q - 11. Let m(t) = -t**3 - 2*t**2 + 3*t - 3. Let u be m(-3). Let a be
{ "pile_set_name": "DM Mathematics" }
28)? 2/143 Evaluate (-1649)/(-85) - ((-5)/1 - 189/(-35)). 19 Evaluate 0 + (-327)/13 + (1860/775)/(390/25). -25 What is the value of (-2030)/(-28) + (258/(-344) - (-27)/(-12)*-1)? 74 What is the value of ((-8382)/930)/(-1) + (63 + -65 - 7)? 2/155 What is 612/(-4284) - (-3 + -1)*(246/28 + 3)? 47 What is (87/15 - 4/(-20)) + (-218466)/37098? 1/9 What is 21 - 23 - (4 + -18 + 8)? 4 What is the value of 62 + ((8 - -3) + 12/((-312)/130))*-1? 56 What is the value of 18/(-9)*16/(416/195)? -15 What is the value of (((-1440)/84)/30)/(6/(-42)*1)? 4 What is the value of (-47346)/63921 - 520/(-715)? -2/149 Calculate -42*(183 - 219 - 330/(-9)). -28 Calculate -54 + 13 + 88 + -133. -86 Evaluate 936/1040*-6*(-40)/576 + (-843)/(-24). 71/2 What is 51 - (-4223)/(-246) - 34? -1/6 Calculate 98/(155232/13968)*-11. -97 Evaluate 50/(-15300)*204*(-738)/(-4). -123 What is the value of 1/(-45 - -7 - -21)? -1/17 What is the value of ((-1 + 26)/((-2)/(-4)))/(32186/(-228) + 142)? 60 (-2)/(-19 - 1560/(-84)) 14/3 Evaluate ((-60)/(-39))/(8005/3202). 8/13 What is the value of (4 - -15 - 25) + 3/(3 + (-936)/309)? -109 What is -13 - ((-1581)/85)/((-33)/275*5)? -44 Evaluate -18 + -55 + 125 + -98. -46 What is ((-105165)/(-38))/(-45)*(3 - 49/21)? -41 Calculate ((-18)/42*(-252)/324)/((77/(-1596))/11). -76 What is ((-62)/589 + 19789/(-20482))/(12*3/14)? -5/12 (-88620)/(-4410) + ((-856)/168 - -5) 20 What is the value of (1564000/(-6831))/170 - (-4)/54? -14/11 Evaluate (-1 - -26) + 223/((-23415)/(-3465)). 58 What is (8/48 - 6)/(9 + (-6)/(-54)*-111)? 7/4 (-3124)/78 - (-138160)/3454 -2/39 Calculate (-594)/75 + (-224)/32 - (-46)/(-575). -15 Evaluate 14/1 - (39872/(-979) + 56). -14/11 What is the value of -378*(71346/(-1188) - -60)? 21 (122 - 120)*(3/27*-2 + 227/9) 50 What is (70/(-147))/((-399)/(-2394))? -20/7 Calculate (0 - -1)*52/91*2079/108. 11 (7/(-84) - 10/15)*4/3*-24 24 Evaluate 6702/7819 - 225/(-462)*-4. -12/11 (9/12)/(9576/(-45600)) -25/7 Calculate 39/195*-205 - (-5365)/111. 22/3 Evaluate 5/2*(-360654)/(-572880) - 1*4/(-64). 18/11 Evaluate 35 - (4 - (-33 + -13)). -15 ((-213)/(-852))/((-3180)/960) -4/53 Evaluate 304/(-12)*(-2010)/(-1273). -40 What is the value of 31/8835*-19 + 308/(-105)? -3 Calculate 6 - (-25 - -12) - (12 + 14). -7 17/(-561)*55 + (-7 + 72)*2/6 20 Calculate (708 - (-15 + 26))/17. 41 (-1*9/12)/((-132)/(-352) + 108/(-608)) -19/5 What is (73 - 7)*(59/413 - (-18)/(-28))? -33 (-22)/(-55) - ((-52)/120 + (48/(-18))/(-8)) 1/2 What is 534189/6519 + 12/212? 82 What is the value of 11845/103 - ((-96)/72)/(1/18)? 139 What is the value of (148/(-12))/(((-12)/(-10) - 602/860)/3)? -74 (-1428)/42 - 4760/(-160) -17/4 What is the value of 43*1 - 6849198/159168? -1/32 Calculate (-759 - -760)/(6/4 - (-165)/(-6)). -1/26 Evaluate 55/715*-1534 - -93. -25 What is -38*14344/(-3344) - 60? 103 What is (-44 - 2) + 1279 + -1187? 46 What is 65758/(-5551) + (22/26 - 1) + -6? -18 1326/166 - (5076/702 - (-30)/39) -1/83 What is 238/(-5) + 149 + -104? -13/5 Calculate ((-2)/(-28)*-5)/(50/4*88/4400). -10/7 Evaluate 88/102 + (-9 - 69*(-3 + 286/99)). -8/17 Evaluate (-7 + 2624/224)*(-6 + 1 + (-88)/(-12)). 11 Evaluate ((-14184)/223398)/(((-1)/2)/((-49)/84)). -2/27 What is 9/180*-5 + 400995/5628? 71 Calculate 13343/165*1 - (1368/(-540))/19. 81 What is the value of (7 - 2 - 2) + (-1704)/16 - 15297/30594? -104 What is ((-3)/4)/(((-56)/(-140))/((-576)/3510))? 4/13 What is the value of (-2)/275*15*(640/(-495) + (-10)/(-55))? 4/33 What is ((-1)/(-56))/(-22 + 1590/72)? 3/14 What is the value of (3 - (-364)/(-60))/(236/(-115)) + 612/(-408)? -1/177 -15*8/(-540) + (2 - 645/1080) 13/8 Calculate -12 - (-1911)/104*((-24)/(-96) + 15/36). 1/4 Evaluate 8/(-30) + (-196156)/25365. -8 What is (-40 + (-44 - -14))*(-15)/10? 105 (-63)/(-168) - (-138)/184 9/8 ((-594)/(-30))/(-29 + 16359/570) -66 (46 + 125 + -124)*((-4)/10 + (-21)/(-15)) 47 ((-2408)/(-112))/(4 - (1/7 + 1034/308)) 43 (-86)/(84/10 - 10 - (-21)/(210/(-4))) 43 Evaluate 18/(-7) + (-356626)/(-4319). 80 What is (-124 + 4062135/32760)*-16? 2/39 What is the value of (-608)/64*(4 - 2) - (8 + -11)? -16 What is the value of (-246)/(-26650)*1300/(-75)? -4/25 Calculate (3 - (5 - 28)) + (-208)/(-26). 34 Evaluate ((-1782)/165)/(1980/(-110)). 3/5 What is the value of ((-13368)/70182)/(4/(-2142))? 102 What is (172/14 - 6747/519)*(2 - (-34)/(-20))? -3/14 Calculate 14*1 + (-172676)/7929 - 18/(-3). -16/9 (45/20*12/6102)/(8 - (-310)/(-40)) 2/113 Evaluate (-18 - (3 - (-75)/(-30)))*(-2)/5. 37/5 Evaluate 1008/64 - (2/(-5))/(18/(-585)). 11/4 (-80)/160 - ((-78)/20 + 1) 12/5 Evaluate ((-3)/(-21))/((26 + -33)/98)*472/(-16). 59 Calculate 20/8*((-12)/27)/(11/(176/(-40))). 4/9 Evaluate (2/4)/((291/11155)/(12/40)). 23/4 Calculate (-2)/17 + (114452/(-75361) + 8/(-22))/1. -2 What is (-1095)/144*-3 + (-287 - -264)? -3/16 What is -106 + -107 + (-291432)/(-1368)? 2/57 Evaluate 102/3434*(6/(-21) + (-20)/28). -3/101 Calculate ((272/192)/(-17))/(36/(-10608)) - (-25)/(-45). 24 Calculate (-4144)/(-7252)*((-3)/12 - 114/(-344)). 2/43 Evaluate -5 + 47 + (-296)/(-111)*18/(-4). 30 Evaluate ((-6)/(-26) + (-59)/46020*258)*630/4. -63/4 67 - (-698325)/469125*-45 2/139 What is the value of 8397/(-23325)*(-40)/324? 2/45 Calculate 62000/2800 - (17*-2)/(-2). 36/7 Calculate (-2266)/6592*-32 + ((-1)/((-3)/(-10)) - 2). 17/3 What is 4760/(-84) + 25 + 38? 19/3 ((-66)/(-5))/((-3069)/(-11160)) 48 What is the value of ((-5244)/(-190) + -19 + -8)/(306/(-10))? -1/51 What is (-276760)/(-8140) + 6 + (-1 - 0)? 39 Evaluate 8/(-216)*3051/(-226)*(-3)/17. -3/34 15 + 4 - (-374 + 401) -8 7228/92 + 1153 + -1232 -10/23 Calculate (-11)/(-110)*-5*(-1932)/(-299). -42/13 Evaluate (-3)/((-315)/28) - (6279/(-585) + 24). -13 What is the value of 8772/627 + ((-2)/(-5) - -1)*(-62680)/6268? -2/209 (-14)/(-3) - 9825/8100*-72 92 What is (-40)/(11 - 15) + (-2 - (-1 - -1) - -22)? 30 Calculate ((-75)/(-10)*1512/840)/(-39). -9/26 (1/(-3))/((-202755)/7245 - -28) -23 What is 1 + 71*408/852? 35 2*7*(-24075)/(-240750) 7/5 What is (204/(-36))/((0 - -1)/(-6))? 34 What is (-1524)/1143*(-2244)/22? 136 What is the value of (-10)/6*((-1652715)/(-19000) - 87)? 1/40 Evaluate 2*(17 - 1872/112) - (-14)/(-21). -2/21 12 + (88/176 + (-139)/(-2))/((-2)/(-1)) 47 Evaluate (114/(-14) - 0)*(-1378216)/73833. 152 What is (-39)/((-897)/920)*(-11)/(165/12)? -32 Evaluate (67 + (-37683)/553)/(-32). 1/28 Calculate 11 - (92 + 5 + -2*(60/8 + 1)). -69 What is the value of (18963/1008 + -19)*(60/9)/5? -1/4 Evaluate (18890/5667)/(10/24). 8 What is (-351)/(-702)*(4/26)/(-2)*10? -5/13 What is the value of 140 + ((-11481)/(-89) - 321)? -52 -29 + (30 - -2) - (-90)/(-26) -6/13 What is (-56)/6 - 139472/(-9096)? 6 810/486*1419/(-55) -43 33 + -44 + -22 + (11 - 5) -27 49 + (-76950)/874 + 39 -1/23 What is the value of (-44)/46 + (-55)/230*90/11385*23? -1 What is 2/6*((-41)/(2205390/(-180)))/(2/11)? 1/163 Calculate (-663)/(-9) + (-38)/(-95)*(-250)/(-75). 75 Evaluate (-5865)/46*24/(11 - 1091). 17/6 Calculate 6/(-81) - (395524/(-3294) + 127). -7 What is the value of (-14)/(-6) + -2 - (-7400)/(-150)? -49 What is (-52)/30*1550/(-60450)? 2/45 What is (-2)/(-3) + 42 + (-3836)/84? -3 What is the value of 9/(-61*(-120)/13176)? 81/5 Evaluate (83/(-4) - 3)/(44435/106644). -57 What is the value of (25/(-10))/(829/24870)? -75 (-255)/(-12)*-3 + (-62)/12648*51 -64 Calculate 9/((-459)/(-4624)) + ((-1)/(-12))/((-31)/248). 90 What is ((-624)/(-273))/(((-1755)/(-378))/65)? 32 What is the value of (-186)/(-4) + 384472/(-8738)? 5/2 53/((-4)/(-18) - (33 - 7707/189) - 7) 53 What is (11 + -12)*(2/44)/(1045/380)? -2/121 What is 8/(-15)*(102 + 420249/(-4118))*30/4? 6/29 What is 3*1255/537 + 45/450*-70? 2/179 Evaluate ((-8473)/(-370) + -23)*49*(0 + -10). 49 What is the value of (740/890960)/(1/28)? 1/43 Calculate (-31)/((4355/(-130))/(-67)). -62 What is the value of (-144)/(-30) - ((-45960)/1575 + 34)? -2/105 Calculate (-826)/(-140) - 6 - 245/50 - 9*-3. 22 (-1986)/22 - 3/(-6)*(-3294)/(-6039) -90 (-6)/(-27)*360/(-4400)*11 -1/5 Evaluate (2/20 + 147/30)*(44 + -42). 10 ((-3)/516)/((-270)/2880)*21/28 2/43 What is the value of ((-2)/(-16))/(-18 + 383634/21432 + (-4)/(-38))? 47/2 What is (852/1136)/((-3)/(-272)) + (-1 - -25)? 92 What is the value of -27 + -3 + (4 - 156/72*6)? -39 What is (2 + 16/(-10) - 148/20) + 4385/625? 2/12
{ "pile_set_name": "DM Mathematics" }
- 8. Calculate c*s(o) - 3*b(o). -o**3 Let a(y) be the second derivative of 7/6*y**3 + 4*y - 5/2*y**2 + 0. Let u(c) = 4*c - 3. Calculate -3*a(p) + 5*u(p). -p Let d(w) = w**3 + 4. Let t(l) = 2*l**3 + 5. Determine -5*d(f) + 4*t(f). 3*f**3 Let u(m) = 2*m**3 - 6*m - 13. Let b(p) = -2*p**3 + 7*p + 12. Give -6*b(y) - 7*u(y). -2*y**3 + 19 Let j(l) = -6*l**3 - 5*l**2 + 3*l + 1. Let z(s) = -s**3 - s**2 + s. Give -j(q) + 5*z(q). q**3 + 2*q - 1 Let o(c) = c**3 + 3*c. Let w(l) = 3*l**3 + 13*l. Determine -26*o(q) + 6*w(q). -8*q**3 Suppose 0 = 20*w - 19*w + 5. Let n(l) = 10*l**2 - 5*l. Let r(o) = 5*o**2 - 3*o. Determine w*r(q) + 3*n(q). 5*q**2 Let b be (((-20)/6)/(-1))/(22/33). Let j(l) = 9*l**3 + 4*l - 5 + 2*l**2 + 0*l**2 + l. Let f(g) = 4*g**3 + g**2 + 2*g - 2. Calculate b*f(c) - 2*j(c). 2*c**3 + c**2 Let f(u) = -6*u**3 - 8*u**2 + 8*u + 11. Let h(b) = -2*b**3 - 3*b**2 + 3*b + 4. Suppose -5*g + 0*g - 16 = -m, 8 = m + 3*g. Give m*h(x) - 4*f(x). 2*x**3 - x**2 + x Let z(c) = 21*c + 4. Let j(g) = 11*g + 2. Give -13*j(u) + 6*z(u). -17*u - 2 Let o(l) = -l**2 - l + 1. Let p = -96 + 97. Let n(y) = 15*y**2 + 20*y - 20. Calculate p*n(u) + 20*o(u). -5*u**2 Let z(s) be the third derivative of -s**5/20 + s**4/6 - s**3/2 - 16*s**2. Let p(l) = 4*l**2 - 5*l + 4. What is -4*p(b) - 5*z(b)? -b**2 - 1 Let t(z) = 2 - 3 + 0. Let d(i) be the third derivative of i**7/840 + i**4/8 - i**3/6 + i**2. Let j(r) be the first derivative of d(r). Calculate -j(p) - 3*t(p). -p**3 Let u(r) = 3*r - 11. Let z(l) = -4*l + 11. What is -5*u(y) - 4*z(y)? y + 11 Let y(r) = 19*r**3 + 3*r**2 + 3*r - 3. Let q(a) = -77*a**3 - 11*a**2 - 11*a + 11. What is 3*q(n) + 11*y(n)? -22*n**3 Let g(o) = -3*o**3 + 8*o. Suppose -2*p - 3 = -4*p + 5*l, -2*l = 2*p + 18. Let r(x) = 8*x**3 - 23*x. Determine p*r(z) - 17*g(z). 3*z**3 + 2*z Let m(z) = 7*z**3 - z**2 - z. Let x be -7*(-14 + 26)*1/14. Let y(b) = b**3. Calculate x*y(a) + m(a). a**3 - a**2 - a Let x(v) = v**3 + v**2 + v. Let b(c) = -4*c**3 - 5*c**2 + 10*c + 4. Determine -b(j) - 5*x(j). -j**3 - 15*j - 4 Let h(m) = -29*m**2 + 20*m - 14. Let c(j) = 10*j**2 - 7*j + 5. Give 17*c(v) + 6*h(v). -4*v**2 + v + 1 Let t(p) = -3*p - 15. Let o(c) = c + 5. Calculate 11*o(u) + 4*t(u). -u - 5 Let w(m) = -2*m**2 - 3*m. Let l be (3 - (-3 + 4)) + 1. Let b(x) = -x**2 - 2*x. Give l*b(h) - 2*w(h). h**2 Let p(d) = -d**2 - d + 2. Let w(m) = -3*m**2 - 3*m + 6. Let h = 31 - 37. Give h*w(k) + 17*p(k). k**2 + k - 2 Let d(g) = 11*g**2 + 16*g - 10*g - 4*g + 15*g. Let z(q) = -2*q**2 - 3*q. Determine 6*d(l) + 34*z(l). -2*l**2 Suppose 0 = -l + 27 - 33. Let f(j) = -5*j + 13. Let d(v) = 3*v - 7. What is l*f(m) - 11*d(m)? -3*m - 1 Let w(t) = 5*t**2 - 2. Let k(d) be the second derivative of 4*d**4/3 - 7*d**2/2 + 6*d. Give -2*k(m) + 7*w(m). 3*m**2 Let m(i) = -i**3 - 5*i - 7 + 2*i**3 - 5*i**3 - 11*i**3. Let h(u) = -7*u**3 - 2*u - 3. Calculate 9*h(s) - 4*m(s). -3*s**3 + 2*s + 1 Let q(s) = -17*s**3 - 5*s**2 + 6*s - 4. Let h(r) = 18*r**3 + 4*r**2 - 5*r + 3. Calculate 4*h(k) + 3*q(k). 21*k**3 + k**2 - 2*k Let v(q) = -11*q - 10. Let h(n) = 5*n + 5. Calculate -5*h(l) - 2*v(l). -3*l - 5 Let g(t) = 7*t**2 - 3*t + 3. Let w(p) = -50*p**2 + 22*p - 22. Give 44*g(l) + 6*w(l). 8*l**2 Let q(i) = 4*i + 10. Let o(f) = 1. Give -22*o(y) + 2*q(y). 8*y - 2 Let j(m) = 7*m**2 - 5*m + 1. Let r(v) = 4*v**2 - 3*v + 1. Let p be ((-3)/(-2))/(7/14). Determine p*j(n) - 5*r(n). n**2 - 2 Let x(l) be the third derivative of -l**6/20 + l**5/60 + l**4/8 - l**3/2 + 22*l**2. Let q(p) = 7*p**3 - p**2 - 4*p + 4. What is -3*q(s) - 4*x(s)? 3*s**3 - s**2 Let y(b) = 9*b + 80. Let u be y(-9). Let p(c) = -4*c**3 + 2*c + 2. Let v(k) = -k**3. Suppose 0 = -x + 3*x - 12. Calculate u*p(s) + x*v(s). -2*s**3 - 2*s - 2 Let a(l) = 2*l**3 - 5*l**2 + 8. Let q be (-6 + (-152)/(-20))/(4/(-10)). Let h(i) = -2*i**3 + 4*i**2 - 7. What is q*a(k) - 5*h(k)? 2*k**3 + 3 Let c(g) = -11*g**3 + 3*g**2 + 4*g - 1. Let w(p) = 12*p**3 - 4*p**2 - 5*p + 1. Determine 5*c(u) + 4*w(u). -7*u**3 - u**2 - 1 Let h(w) = 7*w**2 + 3*w - 1. Let k(p) = -14*p**2 - 6*p + 3. Let n(c) = -13*h(c) - 6*k(c). Let z(x) = 20*x**2 + 8*x + 14. Determine 14*n(q) + 5*z(q). 2*q**2 - 2*q Let p(d) = -20*d**2 - 8. Let w(l) = 13*l**2 + 5. Determine -5*p(o) - 8*w(o). -4*o**2 Let z(u) = 8*u**2 - 2*u + 2. Let m(k) = 105*k**2 - 27*k + 27. What is -2*m(i) + 27*z(i)? 6*i**2 Let z(f) = 2 - 7 + 0. Let p(c) = c + 1. Let j(w) = -5*p(w) - z(w). Let g(r) = -r. Let o(y) = 2*y**2 + 3*y. Let l be o(-2). Calculate l*j(s) - 9*g(s). -s Let n(j) = j - 1. Let z(h) = 3*h**2 + 2*h - 2. What is 4*n(g) - z(g)? -3*g**2 + 2*g - 2 Let m(v) = 2*v + 4*v + 0*v. Let s(z) = -z. Let u be ((-18)/12)/((-15)/10). Give u*m(j) + 8*s(j). -2*j Let b(p) = -p**2 - 2*p + 78. Let a be b(8). Let x(h) = -2*h**2 - h - 1. Let r(u) = -2*u**2 - u - 1. Give a*r(g) + 3*x(g). -2*g**2 - g - 1 Suppose -11*w - 24 = -7*w. Let x(m) = 2*m - 4. Let n(z) = 1. Determine w*n(y) - x(y). -2*y - 2 Let y(g) = -8*g - 9. Let z(l) = -23*l - 27. Determine 17*y(a) - 6*z(a). 2*a + 9 Let n(y) = -3*y**2 - y - 8. Let a(i) = -4*i**2 - i - 8. Calculate 3*a(r) - 2*n(r). -6*r**2 - r - 8 Suppose -5 = z, -5*k - 5*z + 3*z = -5. Let b(u) = 3 + k*u**2 - 2 + 0*u + 4*u**3 + 3*u. Let j(o) = -9*o**3 - 7*o**2 - 7*o - 3. Determine 7*b(g) + 3*j(g). g**3 - 2 Let r(i) = i**2 - 11*i - 10. Let t(v) = v**2 - 5*v - 5. Let h(m) = -4*r(m) + 9*t(m). Let g(q) = 26*q**2 - 6*q - 26. Give 3*g(l) - 16*h(l). -2*l**2 - 2*l + 2 Let c(d) = 5*d**2. Let g be (-4 + 2 - -4)*-2. Suppose 6*j - j = -35. Let z(t) be the third derivative of -3*t**5/20 + 44*t**2. Calculate g*z(u) + j*c(u). u**2 Let u(i) = 9*i + 6. Let x(q) = 10*q + 7. Let l(k) = -40*k - 28. Let d(v) = 2*l(v) + 9*x(v). Let s(g) = -g + 2. Let p be s(9). Calculate p*u(n) + 6*d(n). -3*n Let n(m) = 4*m. Let v(l) = l**2 - 21*l + 52. Let w be v(17). Let s(t) = t. What is w*s(x) + 5*n(x)? 4*x Let y(w) = 3*w**2 + w + 11. Let r(f) = -5 - 5*f - 2*f**2 - 2 + 9*f - 5*f. What is -8*r(s) - 5*y(s)? s**2 + 3*s + 1 Let p(s) = 2*s**2. Let v(n) = n**2. Suppose -2*a = 3*a - 30. Suppose -3*y + y = a. Give y*v(t) + p(t). -t**2 Let h(q) = q**3 - q**2. Let n(d) = 2*d**3 - 2*d**2 + d. What is 4*h(u) - 3*n(u)? -2*u**3 + 2*u**2 - 3*u Let y(j) = -j - 4. Let v be y(-5). Suppose -5*p - 26 = -v. Let k be p + -3 + 0/(-1). Let r(z) = -z + 1. Let g(x) = 2*x**3 + 8*x - 8. Give k*r(n) - g(n). -2*n**3 Let h(v) = -8*v**3 + 8*v**2 + 6*v - 7. Suppose -4*t - 2 = -3*n + 5*n, -4*t + 4*n = 8. Let y(z) = z**2 + 2*z**2 + z**3 + 1 - z - 4*z**2. What is t*h(w) - 6*y(w)? 2*w**3 - 2*w**2 + 1 Let q(z) = 6*z**3 + 4*z**2 - 4. Let m(v) = v**3 + v**2 - 1. Let h = -20 + 20. Suppose -7*w + 3*w + 16 = h. Suppose -2 = -4*t - 6. Calculate t*q(a) + w*m(a). -2*a**3 Let y(a) = 8*a - 6. Let i = -5 + 7. Suppose -i*l = 10, 13 = -3*s + 5*l - l. Let b(q) be the first derivative of -3*q**2/2 + 2*q - 1. Give s*b(j) - 4*y(j). j + 2 Let h(s) = s**2 + 8*s + 7. Let y be h(-6). Let i(r) = r - 3. Let b(n) = -n**3 + 7*n**2 + n - 3. Let o be b(7). Let c(u) = -3 - o + 2 + 4. Give y*c(w) + 2*i(w). 2*w - 1 Let l(y) = 10*y**3 - y - 10. Let r = -8 - -17. Let t be r/27 + (-130)/(-6). Let b(p) = -p**3 + 1. Give t*b(g) + 2*l(g). -2*g**3 - 2*g + 2 Let n(k) = -6*k - 3. Suppose -y - 4*i - 2 = -32, 65 = 5*y + 3*i. Suppose 6*l - y = l. Let z(x) = l + 3 - 6 - 2*x + x. Calculate n(f) - 4*z(f). -2*f + 1 Let g(u) be the second derivative of 5*u**3/6 - u**2/2 - u. Let l(f) = -f + 1. Suppose 0*n = n. Suppose -3*h + n = -9. Calculate h*l(y) + g(y). 2*y + 2 Let o(k) = -3*k**3 + 3*k**2. Let u(x) = -5*x**3 + 6*x**2. Determine 7*o(i) - 3*u(i). -6*i**3 + 3*i**2 Let l(n) be the third derivative of n**5/30 - 5*n**3/6 - 32*n**2. Let s(o) = 3*o**2 - 9. Determine 5*l(y) - 3*s(y). y**2 + 2 Let p = -4 + -1. Let q(f) = f**3 - 4*f + 4. Let d(x) be the first derivative of x**4/2 - 7*x**2/2 + 7*x + 4. Calculate p*q(u) + 3*d(u). u**3 - u + 1 Let j(p) = 4 - p + p - 3*p - 2. Let b(h) = h - 1. Let u(o) = -2*b(o) - j(o). Let v(r) = -1. Suppose 6 = 4*i - i. Calculate i*v(k) - u(k). -k - 2 Let g(u) = 3*u. Let v(c) be the first derivative of -c**2/2 - 15. What is -g(a) - 4*v(a)? a Let n(u) = -6*u**2 - 3*u - 5. Let x(f) = f**2 - f - 1. Give n(i) - x(i). -7*i**2 - 2*i - 4 Let o(w) = -w. Let u = 12 + -5. Let m(y) = y + 10*y + y - 9*y. Suppose 0 = -2*a - 4*g + 8*g - 4, 12 = 4
{ "pile_set_name": "DM Mathematics" }
3)) assuming z is positive. z**(1157/84) Simplify ((f**(2/15)/f**(1/6))/(f**(6/7)*f**2))/(f*f*f*f/(f/(f/((f/(f/(f*(f/f**3)/f)*f))/f)))*f**(2/15)/f*f**(-6)*f**(-2/3)) assuming f is positive. f**(-47/14) Simplify ((b**(1/4))**26)**(-2/63)/((b**(-2/5)/b)**26/(b**0*b)**(3/19)) assuming b is positive. b**(217564/5985) Simplify ((k**8/k)**(19/4)/((k*k**(-8/7)*k)/(k*k**28)))**(3/11) assuming k is positive. k**(5157/308) Simplify ((n/(n*n/(n**(3/2)/n)*n))**(2/17))**(3/4)/(n**(1/22)/n*n*n*n**(-12))**(14/13) assuming n is positive. n**(113429/9724) Simplify (((o**(2/5))**(-36)/(o**(6/5)/o**(-2/19)))**(-8/9))**(-13) assuming o is positive. o**(-155168/855) Simplify (b**(2/3)/b**(1/2))**(1/69)/(b*b**6*b**(-2/9)*b*b)**(5/3) assuming b is positive. b**(-18167/1242) Simplify ((c**(-1)*c)**(-9/11))**(-5)*(c**(-1/6)*c**(2/5)/c)**(-1/9) assuming c is positive. c**(23/270) Simplify (n**(-35/2)/n**(-2/5)*n**(-18)/(n/n**(4/9)))**(1/36) assuming n is positive. n**(-3209/3240) Simplify (((p**1/(p**0*p))/(((p/p**(2/15)*p)/p*p)/((p*p/(p/(p**(1/3)/p*p)*p)*p)/p)))**(-1/12))**(2/29) assuming p is positive. p**(23/2610) Simplify ((g**(-16))**19*g*g/(g/(g*g**9))*g**21)**(-1/18) assuming g is positive. g**(136/9) Simplify ((j*j*j**(-5)*j**(-3/2)*j*j*j*(((j*j*j**(-1)*j*j)/j)/j*j*j)/j**(-1/2))**(-25))**(-34) assuming j is positive. j**1700 Simplify (q*q/(q**0*q))**(-4)*(q/(q*q**2))/q**(-5)*(q**(-4)*q**(1/12))**(-36) assuming q is positive. q**140 Simplify (v**4*v)/((v*v**(-6)*v)/v)*(v/(v**1/v)*v)/v*v*v*v**(-8)/v*(v/v**(-4)*v/(v**9/v))**(-36) assuming v is positive. v**76 Simplify (((s**0)**(-35)*(s**1/s)/(s*s**(-5)))**(-1/21))**(3/14) assuming s is positive. s**(-2/49) Simplify ((k**(-2/3))**(2/95))**26/(((k**2*k*k)/((k*(((k**4/k)/k)/k)/k*k*k*k)/k*k))/(k*k*k/k**(2/7)*k**(-3/5))) assuming k is positive. k**(698/399) Simplify (p**(-5/16))**(2/77)*(p**(-21))**(1/41) assuming p is positive. p**(-13141/25256) Simplify ((y**17*y**(-32))/(y*y*((y**(-18)/y*y)/y*y)/y*y)**(-9/7))**(28/3) assuming y is positive. y**(-332) Simplify (((f**(4/5)*f)/((f**(3/4)*f)/f))/(f**0)**(-28))/((f/(f**(-2/5)*f))**11/(f*f/(f/((f/f**(2/5)*f)/f))*f*(f/f**(-5))/f)) assuming f is positive. f**(17/4) Simplify (k**3*k*k**(-1/6)/k*k*((((k**(2/3)/k)/k)/k)/k*k)**(21/4))/(((k**(-1/2)*k)/(((k/(k/k**5)*k)/k)/k))/(k**(-1/2)/k*k**(-5/2)*k*k)) assuming k is positive. k**(-83/12) Simplify t**(2/23)/t**(-2/33)*(t/(t*t/t**(1/8)*t))**(20/3) assuming t is positive. t**(-18751/1518) Simplify (c/c**(-8/11)*c*c*c**21/c*c)/(c/(c*c/(c*c**(-20/7))))**(-11/4) assuming c is positive. c**(1299/77) Simplify ((((f**2*f*f)/f)/f)/f**0)**(-20)*((((f**(1/6)*f)/f)/f)/(f**(1/5)*f))/(f/(f**4*f)*f**1) assuming f is positive. f**(-1171/30) Simplify ((h**3/h**(-21))/(h**(-11/3)*h/h**(-24)))**15 assuming h is positive. h**40 Simplify ((((s**(1/9))**17)**(1/24))**(-1))**(2/25) assuming s is positive. s**(-17/2700) Simplify ((l*l**1)**45*(l**1*l)**3)/(l**(2/19)/l**(-7))**(-30) assuming l is positive. l**(5874/19) Simplify (r**(2/29)*r*r**(-15)*(r**(-5))**(20/3))**(-4) assuming r is positive. r**(16448/87) Simplify (m**(-2/7))**(-1/3)*(m/m**(1/3))**(2/53)*(m**(1/6)/m*m*m/(m*m**(3/10)))**(11/4) assuming m is positive. m**(-2741/11130) Simplify (((k/(k**(-2/15)*k)*k/(k/(k*k*k**(-2))))/(k*k*k**(-2/7)*k)**0)**(-1/24))**1 assuming k is positive. k**(-1/180) Simplify ((p/((p*p**(-2/11)*p)/p)*p)/p*p/p**(-5))/(p**0)**(-16)*(p*p/p**(1/2)*p)**(-2/77)*(p/(p/(p**6*p*p*p))*p)/p*p*p**3/p assuming p is positive. p**(1395/77) Simplify (((((i**(-9)/i)/i*i)/((i*i/(i/i**(4/5))*i*i*i*i)/i*i))**(-24/7))**(-28/9))**(10/9) assuming i is positive. i**(-5056/27) Simplify (v**(7/4)*v*v*v*(v**(-1/6)/v)/v)**(1/10)/(v**(3/8)*v*(v/(v/(v*v**(-4)*v))*v)/v*(v*v**(1/2))**6) assuming v is positive. v**(-487/60) Simplify ((d/d**(-5/4))/d**(2/21))/(d**0)**(10/3)*d/(d*d**(1/2)/d)*d**(-2)*(d*d*d/(((d/(d/(d/(d**1*d*d))))/d)/d))/d**0 assuming d is positive. d**(643/84) Simplify (g**(-1/20)*g**1)**(-20/7)/((g**1)**(-1/46)*g**(9/5)/g*g**(2/5)) assuming g is positive. g**(-6267/1610) Simplify (g**12*g**(-5/9))/(g/(g*(g*(g**(15/7)/g)/g)/g)*g*g**24*g) assuming g is positive. g**(-908/63) Simplify (q**(-2/5)/(q*q/(q*q**(3/2))))**(1/15)*(q*q*(q*q**2)/q)**(2/7)*(q*q**(-1/5))**(-7/6) assuming q is positive. q**(227/1050) Simplify ((k**(-1/3))**(11/2))**(-1/90)*(k/(k/k**4)*k)/k**(1/6)*(k**1)**(-10) assuming k is positive. k**(-2779/540) Simplify (((j/(j/j**(-2/15)))/j*j)/j**(-5))**18/(j**11*(j*j**(-12))/j)**(1/16) assuming j is positive. j**(7013/80) Simplify (((r/r**(-2)*r/(((r/((r/(r/(r/(r/r**0))))/r)*r)/r)/r*r))**(-26))**(2/5))**(-8) assuming r is positive. r**(832/5) Simplify ((q*q*q/((q/((q**(-5)/q)/q))/q)*q)/(q/(q/((q*q**(-1/25))/q)))*(q*q/q**11)/q**6)**(-35) assuming q is positive. q**(3143/5) Simplify (((z*z**(1/30)*z)/z*z**28)/(z**(-11)/z*z*z**(-27)))**20 assuming z is positive. z**(4022/3) Simplify ((y*y/(y**(2/39)*y)*y)/(y/(y**4*y))*y**(2/7)*y*y**(-1/22))**(-8/9) assuming y is positive. y**(-172708/27027) Simplify (((z/z**(-5/2)*z)/z*z)/z)/(z/(z**9/z))*(z**2)**(-42)*(z**(6/7)/z**(-8))/((z/(z/z**(-2/19)))/((z*z/z**4)/z)) assuming z is positive. z**(-17965/266) Simplify (((j**0)**(-30/11)/(((j*(j**(-1/5)/j)/j)/j)/j**(3/4)))**27)**37 assuming j is positive. j**(58941/20) Simplify (((g**(1/5)*g)/g*g**4)/((g**(1/2)/g)/g**(2/5)))/((g/g**2)**(2/97))**(-42) assuming g is positive. g**(4107/970) Simplify ((v**(1/4)*v)/(v**(-5/4)/v)*(v**(-1)/v)/((v*v**(-2)*v)/v*v))/(v**2*v*v*v**(2/3))**14 assuming v is positive. v**(-383/6) Simplify (g**(2/23)*g**(-1/2))**(4/37)*(((g*g**(-2/3))/g)/(g**(-3/7)*g))**(-3/23) assuming g is positive. g**(696/5957) Simplify (c/(((c/(c**(-1/12)*c)*c)/c)/c)*c*c/(c/(c*(c*c**(2/25))/c*c))*c)**(-1/30)/((c**(-1/2))**(-2/37)/(c**(-2/7)*c**(-3)/c)) assuming c is positive. c**(-10518941/2331000) Simplify (g**(1/4))**18/((((g*g**(1/3))/g*g)/g)/g)**(12/5)*(g*g**1/g)**(1/19)*g**(-3/5)/g*(g/(g*g**(3/7)*g))/g assuming g is positive. g**(565/266) Simplify ((((d*d**(-5))/(d/((d/d**(2/59))/d)))**47)**46)**13 assuming d is positive. d**(-8347482/59) Simplify (a**32/a*a*a**15*a)/((a/(a**(2/65)/a))/((a/(((a/a**(-13))/a)/a*a))/a)) assuming a is positive. a**(2147/65) Simplify (t**8)**(-3/10)/(t**(-37)*t/(t/(t/t**(-1/15))*t*t)) assuming t is positive. t**(533/15) Simplify ((i/(i/i**4))/(i*i**(-3/8)/i*i))**(-20/11)*(i*(i/i**3)/i*i*i/(i*i*i**(1/14))*i*i)/(i*(i/((i*i**0*i*i)/i))/i)**33 assuming i is positive. i**(2063/77) Simplify ((p/(p/p**(-1/3)))**(-40)/((p/p**(2/21)*p)/p**2))/(p**5*p**(-3)/p*(p/((p/((p*(p**(1/2)*p)/p)/p*p))/p))**(-50)) assuming p is positive. p**(962/7) Simplify ((((d/((d/d**(-8/7))/d))/(d*d**(3/7)))**(2/21))**(-1/2))**(1/80) assuming d is positive. d**(11/11760) Simplify ((o/(o**(-3/2)*o))/(o/(o/((o**(-10/3)/o)/o)*o*o))*(o**(1/2))**(15/4))**45 assuming o is positive. o**(3855/8) Simplify (((n/n**(-2))/n**9*(n**(-2/5))**(-18))**(1/38))**(2/17) assuming n is positive. n**(6/1615) Simplify (q**(-14)/(q**28*q))/((q**4*q)/q**(-6/5)) assuming q is positive. q**(-246/5) Simplify ((((r/r**0)/r**(-2/3))/(((r/(r/(r*r**(1/4)))*r)/r)/(r*r**(-4))))**(-1/23))**(-43) assuming r is positive. r**(-1333/276) Simplify ((x**2*x)**(-2/3)*(x*(x*x**(3/4)*x)/x)/(x**(-1/4)*x))/((x/((x/(x*((x*((x**2/x)/x)/x*x)/x)/x*x))/x))**(-14/3)/(x**(-2)*x*x**1)) assuming x is positive. x**(28/3) Simplify ((((m/((m*m*m**(1/2))/m))**(3/40))**13)**(6/17))**(-34) assuming m is positive. m**(117/20) Simplify (y**(-3)*y**7/y)**(-35)*y**(-5)*y**(-3)*y**(-1)*(y/(y*(y*y/(y**(-3/4)/y)*y)/y))/y assuming y is positive. y**(-475/4) Simplify ((c*c*c**20)/(c*c*c**(-26))*c/c**(2/31)*c**(-6))**(1/27) assuming c is positive. c**(47/31) Simplify (k*k**12*k*k**(-3/20)*k/k**(-27)*k/(k**(-19)*k)*k)**20 assuming k is positive. k**1237 Simplify (((a*a**2)/a)/(a**3/a))/((a/a**1)/a)**(6/5)*(a**2)**(2/147)/(a**(-1))**(-1/3) assuming a is positive. a**(219/245) Simplify (w*w**(-1)*w**(-2/35)*w**(-7)*w**(1/3))**14 assuming w is positive. w**(-1412/15) Simplify ((m**(-1/2))**13)**(-1/4)/((m**(2/5))**(-34)/((m/m**(1/2))/(m*m*((m*m**(-1)/m)/m)/m*m))) assuming m is positive. m**(629/40) Simplify ((a**0/a**(2/11))/(((a/(a/a**1))/a)/a)**(1/21))/((a**0*a*a/a**(-4))/(a**(-1/7)*a**3)) assuming a is positive. a**(-757/231) Simplify ((c*c**(-9/1
{ "pile_set_name": "DM Mathematics" }
-2)/(-5) - 3825/(-125)? 21 Let z = -61 + 76. Suppose -4*j + 6 = -3*j. What is the remainder when z is divided by j? 3 Suppose 2469 = -8*v + 2693. What is the remainder when 100 is divided by v? 16 Let c = 4 - -1. Suppose -3*d + c*d - 128 = 0. Let m(f) = 38*f**2 - 301*f - 7. Calculate the remainder when d is divided by m(8). 13 Let j = 2037 - 1649. Calculate the remainder when j is divided by 10. 8 Suppose 0*f + 4*r + 15 = -5*f, r = 5*f - 10. Let x be f - (1 + 1 + 0). Calculate the remainder when 39 is divided by -3 + 1 + (x - -24). 18 Suppose -5*v + v = -12. Suppose 0 = -v*t + 2*t + 12. Calculate the remainder when (177/4 - (-6)/8) + 0 is divided by t. 9 Let u(g) = -g**2 + 2*g + 4. Let h be u(0). Let t be (6/5)/(h/(-20)). Calculate the remainder when (0 - -2)*(-141)/t is divided by 12. 11 Let l(j) = 3*j**2 + 12. Suppose 3*x - 2*x = 10. What is the remainder when l(-3) is divided by x? 9 Let k be -1 + 14 + (4/2)/(-2). Suppose 0 = -3*g + k, 0*g + 26 = 2*y + 3*g. What is the remainder when y is divided by 5? 2 Suppose -1111 = -36*m + 4109. What is the remainder when m is divided by 22? 13 Suppose -3*g = -15, -5*j - 3*g - 114 = -8*j. Let d(l) be the first derivative of -l**3/3 + 4*l**2 + 9*l - 4. Calculate the remainder when j is divided by d(7). 11 Suppose 5*u = u + 2*h + 128, 3*u - 95 = h. Let y = -777 - -869. Calculate the remainder when y is divided by u. 30 Suppose 1100 = 12*i + 152. What is the remainder when i is divided by (-24)/10*220/(-33)? 15 Let a(m) = 5*m**3 - m**2 - 2*m - 1. What is the remainder when a(2) is divided by 1342/77 - 18/42? 14 Let y(x) = -x + 10. Suppose -q + 1 = -8. Let u be y(q). Calculate the remainder when 28 is divided by 13 - (2 - (u - 2)). 8 Suppose 0 = 2*l + 3*o - 41 - 5, -20 = 5*o. Suppose -4*d + l = h, -70 = -2*h + 2*d + 2*d. What is the remainder when h is divided by 12? 9 Suppose 3*w + 80 = 2*c - 2*w, -c + 3*w = -41. Let f = 30 - 23. Let b = c - f. What is the remainder when b is divided by 16? 12 Let k = 64 - -2. Let c = 35 + k. Calculate the remainder when c is divided by 17. 16 Suppose 0 = t + 49*l - 48*l - 51, 4*l - 39 = -t. Calculate the remainder when 269 is divided by t. 49 Suppose p - 2*k + k - 97 = 0, 4*p = -k + 373. Let w = p - 27. Let y = -37 - -54. Calculate the remainder when w is divided by y. 16 Let v(m) = 9*m**2 - 3. Let k(l) = l**3 + l**2 + 2*l + 18. Let h be k(0). Suppose -d + h = -0*d. What is the remainder when v(2) is divided by d? 15 Let c(x) = 597*x**3 + x**2 - 3*x + 3. Calculate the remainder when c(1) is divided by 12. 10 Suppose -5*r + 160 = -3*r. Suppose 3*p - r = -p. Calculate the remainder when (6 + -1)*156/p is divided by 20. 19 What is the remainder when 39 is divided by 6/8 + 495/44? 3 Let y be 1 + (-12)/4 + 4. Suppose 0 = 3*j + y - 20. What is the remainder when 18 is divided by j? 0 Suppose -q + 2*v = -2*q - 8, 5*q + 2*v = 0. Suppose -q*a - 16 = -6*a. Suppose 4*z - 64 = a*l, 5*z - 3 - 69 = -3*l. What is the remainder when z is divided by 4? 3 Let d = 108 - 57. Suppose 3*y = -8*y + 165. What is the remainder when d is divided by y? 6 Suppose 0 = -4*v - v - 500. Let n = 175 + v. What is the remainder when n is divided by 19? 18 What is the remainder when (-18)/(-81) - (-925)/9 is divided by 63? 40 Let z = 6 + -20. Let g be ((-12)/z)/(30/105). Suppose -s - 5*l + 15 = -17, 3*s = g*l + 24. Calculate the remainder when 45 is divided by s. 9 Suppose 2*i = 7*a - 5*a - 24, 4*a - 54 = 2*i. Calculate the remainder when 491 is divided by a. 11 Let b = 1108 + 683. Calculate the remainder when b is divided by 28. 27 Suppose 0 = 3*g - 5*q - 203, -4*q - 14 = 2. What is the remainder when g is divided by 33? 28 Let h = -298 - -347. What is the remainder when h is divided by 13? 10 What is the remainder when 77 is divided by (2/3)/(35/315)? 5 Suppose -c + 11 = -w + 28, -4*c + 8 = 0. Suppose w = d - 13. Calculate the remainder when d is divided by (-4)/(12/(-9)) + 40/5. 10 What is the remainder when 526 is divided by (14 - (5 - (6 - -3))) + 5? 20 Let k = -1 + 1. Calculate the remainder when 39 is divided by k + ((-18)/(-1) - 4). 11 Suppose -2*d = -6*d - 5*x - 356, 5*x - 148 = 2*d. Let t = -59 - d. Let p(a) = a**2 + 2*a + 14. Calculate the remainder when p(5) is divided by t. 24 Let s = -105 - -236. Let t(y) = y**2 - 2*y - 2. Calculate the remainder when s is divided by t(-4). 21 Let b(m) = 8*m**2 - m - 1. Let y = -8 - -29. Calculate the remainder when y is divided by b(-1). 5 Suppose -7*n = -2*n - 925. Let a be (n/(-3) - -4)*3. Calculate the remainder when (-2)/4 - a/2 is divided by 29. 28 Suppose -46*b + 45*b + 108 = 5*x, -5*b - 2*x + 586 = 0. What is the remainder when b is divided by 24? 22 Suppose 0 = 2*n - 5*a - 21 - 1, 4*n + 2*a = 20. Let v(w) = 19*w + 1. What is the remainder when v(2) is divided by (3/n - 0)/((-4)/(-80))? 9 Suppose 0 = -7*g + 115 + 172. Calculate the remainder when 121 is divided by g. 39 Let d(m) = -m**3 + 3*m**2 - 2*m + 3. Let j be d(2). Suppose -4*k + j - 150 = -3*y, 4*y - 165 = -5*k. What is the remainder when y is divided by 12? 9 Let q(t) = 2*t + 24. Let d(j) = -j - 12. Let c(a) = -13*d(a) - 6*q(a). Calculate the remainder when 52 is divided by c(-2). 2 Suppose -15*f = -1151 + 101. Let w = f - 42. What is the remainder when 92 is divided by w? 8 Let a be -3 - 174 - (-3)/3. Let h = a + 264. What is the remainder when h is divided by 10? 8 What is the remainder when 2 is divided by -1*(50/175 + (-9)/7)? 0 Let a(b) = b**2 + 24*b - 9. What is the remainder when 26 is divided by a(-25)? 10 Suppose -133 - 133 = -7*j. Calculate the remainder when j is divided by 28. 10 Let f = 35 + -21. Suppose z - 73 = -32. What is the remainder when z is divided by f? 13 Suppose 35 = 24*m - 13. Calculate the remainder when 42 is divided by m. 0 Suppose 209 = -3*n + 8*n + 3*b, -4*b - 188 = -5*n. Calculate the remainder when 228 is divided by n. 28 Suppose -3*x - 72 = -2*x. Let a = -38 - x. What is the remainder when a is divided by 9? 7 Let x = 9 + -75. Calculate the remainder when ((-2)/((-4)/29))/((-33)/x) is divided by 8. 5 Suppose -6*j + 2*o = -j - 17, 0 = j - 4*o + 11. Suppose -j*k + 2*k = -819. Suppose 0 = -5*b + k - 63. Calculate the remainder when b is divided by 15. 12 Suppose -49*k + 60*k - 363 = 0. What is the remainder when k is divided by 5? 3 Suppose -3*x + 486 = -6*x. Let g(o) = o**2 + 38*o + 463. What is the remainder when g(-24) is divided by (-2)/5 - x/5? 31 Suppose 3*i - 79 = -4*y, -4*i - 3*y + 50 = -53. Suppose -6*j + i = -29. Let k(a) = -16*a + 2. Calculate the remainder when k(-2) is divided by j. 7 Let f(c) be the third derivative of -2*c**2 + 0 + 0*c - 1/8*c**4 + 13/6*c**3. Calculate the remainder when 23 is divided by f(0). 10 Let t be (-2 - -7)*(-1 - -2). Let n be (0/1)/(4 + -3). Suppose q - 19 + t = n. What is the remainder when q is divided by 4? 2 Let d(x) be the third derivative of x**5/60 - x**4/4 + 4*x**3/3 - x**2. Let u be (-1 - 1) + -2 + -2 + 12. Calculate the remainder when 13 is divided by d(u). 5 Suppose -3 = a, 11*c - 6*c + 5*a = -5. Calculate the remainder when c is divided by 2. 0 Let y be (-120)/(-32) - (-1)/4. Suppose 2*a = u - 58, 0 = 4*u - y*a + 141 - 381. What is the remainder when u is divided by 33? 29 Let j(k) = -2*k - 8. Let r be j(-6). Suppose -h - 2*x + 6 = 0, 0 = r*h - h - 2*x - 50. What is the remainder when 54 is divided by h? 12 Suppose 5*w - 39 = -m, -7 = -2*m - 3*w + 43. Calculate the remainder when 110 is divided by m. 15 Suppose -21*q + 43*q - 308 = 0. What is the remainder when 68 is divided by q? 12 Suppose 4*u = -4*u + 240. What is the remainder when (-4)/(20/(-755)) - 35/7 is divided by u? 26 Let n(x) = -13*x + 7 + 1 + 15*x - 2*x**2 + 4 - x**3. What is the remainder when 47 is divided by n(0)? 11 Suppose -5*x = g + 1 + 14, -5*g + 9 = -3*x. What is the remainder when 26 is divided by 21 - (-20)/12*x? 10 Suppose 3 = -3*u - 0*u, -2*n + 4*u + 52 = 0. What is the remainder when 93 is divided by n? 21 Let w(a) = -2*a**3 - 9*a**2 - 3*a - 6. Let m(r) = r**3 + 8*r**2 - 19*r + 5. Let g be m(-10). What is the remainder when w(g) is divided by 18? 16 Let c = 17 + -12. Suppose 3*o = -c + 47. What is the remainder when 81 is divided by o? 11 Suppose -105 = -i - 4*i. Let f(b) = b**2 - 3*b - 10. Let p be f(-8). Let d = 138 - p. What is
{ "pile_set_name": "DM Mathematics" }
= -2375 + 2479. Calculate the greatest common divisor of 176 and k. 8 Suppose -9*q + 309 = -843. Calculate the highest common factor of q and 48. 16 Suppose -5*y + 20677 = 24*y. What is the highest common factor of 62 and y? 31 Let u(n) = 9*n**2 + n. Let b(h) = h - 7. Let r be b(8). Let k be u(r). Let a be 126/(-5)*k/(-4). Calculate the greatest common divisor of 21 and a. 21 Let w(c) = c**3 - 2*c**2 - 4*c + 14. Let l be w(8). Suppose 5*h - l = -36. Let b(x) = 7*x - 1. Let i be b(1). What is the greatest common divisor of h and i? 6 Suppose -6*j = 33*j - 6435. Suppose 0*a = 5*a + 180. Let g = a + 51. Calculate the highest common divisor of j and g. 15 Let h(v) = -6*v - 35. Let j be h(-6). Let s be 1 + j + 1 - (-20 - -2). What is the highest common factor of 63 and s? 21 Suppose 39 = 6*q + 15. Let w be (17/q - 2)/((-11)/(-308)). Calculate the highest common factor of w and 9. 9 Suppose 5*u + 7 = -2*n, -2*n + u = 320 - 343. What is the highest common divisor of 1800 and n? 9 Let g(l) = -625*l**3 + 4*l**2 + 3*l + 1. Let r be g(-1). What is the greatest common divisor of 66 and r? 33 Let y(d) = -29*d - 224. Let r be y(-8). What is the greatest common factor of r and 8? 8 Suppose 2*u + 1 = -3*k, u - 3*k - 8 = -4*u. Let v be (2*(-44)/16)/u*-4. What is the highest common factor of 11 and v? 11 Let i = -20 + 24. Suppose -i - 2 = -3*v. Suppose -c - v*m + 12 = -6*m, 108 = 4*c - m. What is the highest common factor of 42 and c? 14 Let m = -4 - -9. Let d be 40/6*(-45)/10. Let r be (44/(-33))/(8/d). What is the greatest common factor of m and r? 5 Let x(w) = -3*w**2 - 18*w + 8. Let i be x(-4). What is the greatest common factor of 24 and i? 8 Let n = 1 + 8. Suppose 936 = 13*r - n*r. Let h be (-360)/(-14) - (-4)/14. What is the highest common divisor of r and h? 26 Suppose 0 = 6*k + 538 - 1888. What is the greatest common divisor of 18 and k? 9 Let m be (140/(-15))/((-24)/27 + 1). Let k = m - -101. Calculate the highest common divisor of 17 and k. 17 Suppose 0 = -2*j - 0*j + 110. Let z be (33/j)/(1/5). Suppose -3*c = 5*s - 25, -28 = -3*c - z*s + s. Calculate the greatest common divisor of c and 5. 5 Let p(n) = n**3 - 10*n**2 + 14*n + 23. Suppose -3*j + 38 = 2*j + s, 4*j + s = 30. Let f be p(j). What is the highest common divisor of 7 and f? 7 Suppose 10*g = 43258 - 14988. Calculate the highest common factor of 11 and g. 11 Let f(q) = -7*q - 2. Let c be f(-2). Suppose 5*p + c = -p. Let n be 4788/96 + p/(-16). Calculate the greatest common divisor of 20 and n. 10 Suppose 2*g - 30 - 124 = 0. Let p be (2/(-3))/(-5 - (-489)/99). Calculate the highest common divisor of p and g. 11 Let j be ((-20)/(-5) - 1)*6. Suppose 4*h = 119 + 61. Calculate the greatest common divisor of j and h. 9 Let z = 50 + -50. Let y = z - -22. What is the highest common divisor of 2 and y? 2 Let n = 3 + 97. What is the highest common factor of 125 and n? 25 Let x be (-10)/(-25) + (-4)/10. Let m(h) = -h**2 + 68. Let v be m(x). Let j(q) = -2*q + 27. Let d be j(5). Calculate the highest common factor of v and d. 17 Suppose -5*j + 2*j + 15 = 0. Let z(g) = g**2 - 6*g + 3. Let a be z(-6). What is the highest common divisor of a and j? 5 Let q be -1 + 15/21 - (-228)/14. Let y be (-4)/(-5)*(-4)/(q/(-70)). Calculate the greatest common factor of y and 21. 7 Suppose 61*t = 60*t + 627. Calculate the highest common divisor of t and 228. 57 Suppose 0 = -5*n + 5*f + 540, 5*n + 90 = 6*n + 5*f. What is the greatest common divisor of n and 5? 5 Suppose -5*s - 103 = -0*v - 3*v, -4*v + 5*s + 139 = 0. Let n = 81 - v. Calculate the highest common divisor of n and 30. 15 Suppose -o = -38 - 6. Calculate the highest common divisor of o and 110. 22 Suppose 12*d - 2561 = 6487. Calculate the greatest common factor of d and 174. 58 Suppose 4*v - 569 = -3*b, -8*b - 183 = -9*b + 2*v. Calculate the highest common divisor of 11 and b. 11 Let k be (-18 - -16)/(1/(-5)*2). Suppose -2*n - 138 = -6*n + d, 0 = -2*n - d + 72. Calculate the greatest common divisor of k and n. 5 Let a = 74 - 19. Let w be 3/(1 - 201/192). Let t = a - w. What is the greatest common factor of t and 17? 17 Let v(x) = -97*x - 1155. Let g be v(-12). Suppose -a + 2*a = 9. Calculate the highest common divisor of a and g. 9 Let u(x) = -7*x + 8. Let k be u(-10). Suppose 2*d - k = -d. Calculate the highest common divisor of 65 and d. 13 Suppose -n = -4*n + 375. Let d = -98 + -147. Let i = -220 - d. What is the highest common divisor of i and n? 25 Let j(k) = 93*k - 56*k - 47*k - 6. Let r be j(-1). What is the greatest common factor of r and 48? 4 Let c = -176 - -224. Calculate the greatest common divisor of 912 and c. 48 Let w(u) = -u**3 + 5*u**2 + 7*u - 4. Let x be w(6). Suppose 22 = m + x. What is the greatest common factor of 4 and m? 4 Suppose -122 = -6*m + 460. Suppose 0 = -2*h + m + 569. Calculate the greatest common divisor of 37 and h. 37 Let s = 127 - 86. Let i = s + -24. Suppose -267 = -2*a - 4*v - v, -3*a + 413 = -5*v. What is the highest common factor of i and a? 17 Let s = -11 - -12. Let b be -1 + 10/s + -4. Let f be 33 - (-1 - (1 - b)). What is the greatest common factor of 6 and f? 6 Suppose -j + 299 = -221. Suppose 3*g + g = j. Suppose 2*r + 104 = 4*r. What is the greatest common divisor of r and g? 26 Let j be 13 + (1 - 2) + 0. Let w(k) = -k + 15. Let n be w(j). Suppose -2*d + 155 = d - 5*o, n*d = -5*o + 205. Calculate the greatest common factor of d and 30. 30 Suppose -2 = 2*h + 8. Let b be (-7 - (3 + h))*-1. Suppose -8 = -2*o, -79 = -b*z + 2*o + 2*o. Calculate the greatest common divisor of 38 and z. 19 Let j = 15 - 5. Let n(u) = u**3 - 11*u**2 + 10*u + 10. Let q be n(j). Calculate the highest common divisor of 90 and q. 10 Let y be 0/(-3) - (-37 - -1). Let n(c) = c**2 - 15*c + 38. Let z be n(13). Calculate the greatest common divisor of z and y. 12 Let q(t) = 5*t - 13. Let k be q(9). Let h(i) = 2*i**3 - 15*i**2 - 6*i - 12. Let j be h(8). What is the highest common factor of j and k? 4 Suppose 488 = 67*g - 6*g. Calculate the highest common divisor of 13 and g. 1 Suppose 3*u = 5*u - 128. Suppose 0 = -t + 2*t - u. Let p be (-2 - 16/(-6))/((-1)/(-12)). Calculate the highest common divisor of p and t. 8 Let s = 14 - 11. Let d(f) = 8 - f**3 - 4 + 12*f**2 - 5*f**2. Let r be d(s). Calculate the highest common factor of r and 16. 8 Let g = 331 + -293. Let n(l) = 3*l**2 + 2*l - 14. Let p be n(-10). What is the highest common divisor of p and g? 38 Let p(d) = 5*d + 9. Let m be p(7). Suppose -42 = -u + 24. Let n be (24/36)/(4/u). Calculate the highest common divisor of m and n. 11 Suppose -39*n + 5096 - 1586 = 0. Calculate the highest common divisor of 230 and n. 10 Let z(y) = -177*y - 1129. Let q be z(-7). Calculate the greatest common divisor of 10 and q. 10 Let a be 698/18 + (-12)/(-54). Suppose 13 = p - a. Calculate the highest common divisor of 13 and p. 13 Let l(i) = i**2 - 4*i - 9. Let c be l(6). Suppose 5*m + 2*o - 127 = 33, -c*o - 15 = -m. Calculate the greatest common factor of m and 270. 30 Suppose 0*c = 2*c - 14. Suppose 7*b + 399 - 497 = 0. What is the highest common divisor of b and c? 7 Suppose -z + 10 = 8. Let u be (-4)/z + (4 - -70). What is the greatest common divisor of 36 and u? 36 Suppose 5*a - 4*j - 290 = -2*j, a = 2*j + 50. Let t = a - 46. Calculate the highest common divisor of 35 and t. 7 Let j(t) = t**3 - 30*t**2 - 28*t - 61. Let v be j(31). What is the greatest common factor of 160 and v? 32 Suppose m + 0*o - 141 = -3*o, 3*m - o = 373. Calculate the greatest common divisor of m and 9. 9 Let d = 746 + -652. What is the highest common factor of d and 611? 47 Let q = 36 - 4. Let a(f) = -2*f + q - 37 + 0*f - 6*f. Let s be a(-2). What is the greatest common divisor of s and 22? 11 Let r = -436 - -579. Calculate the greatest common divisor of r and 44. 11 Let i = 776 - 732. Suppose -3*n - 66 = -4*n. What is the highest common factor of i and n? 22 Let k be ((-8)/(-16))/(1/8). Suppose k*x = -2*r + r + 84, 2*x - r - 36 = 0. Suppose -12 = -3*y - 0*y. What is the highest common divisor of y and x? 4 Suppose 51*i + 60 = 56*i. Let x be (-1)/(-2) - 213/(-6). What is the highest common factor of i and x? 12 Suppose 6*y + 4 = -20. Let l = y + 9. Suppose n + 1 = -l*v + 4*v, -5*v - 21 = -3*n. Calculate the highest common factor of n
{ "pile_set_name": "DM Mathematics" }
ivided by 12? 9 Suppose 288 = -70*d + 76*d. Let a = -36 + d. What is the remainder when 17 + (-3)/(-6)*2 is divided by a? 6 Suppose 4*h - 47 = -4*q + 85, 0 = 2*h + 3*q - 70. Suppose -2*i = -4*i - 0*i. Suppose 8*b - 5*b - 255 = i. What is the remainder when b is divided by h? 27 Let k = -52 + 52. Suppose 5*p = -k*p + 175. What is the remainder when p is divided by ((-4)/(-8))/(((-19)/12)/(-19))? 5 Let a = -10 + 13. Suppose -p = -a + 1. Suppose 3*y - 7*y = -2*l - p, l - 24 = -3*y. Calculate the remainder when 24 is divided by l. 6 Suppose 45*g - 51*g + 192 = 0. Calculate the remainder when 60 is divided by g. 28 Let u be 6/(-15) + (-1196)/10. Let y(a) = a**2 + 28*a + 329. What is the remainder when y(-18) is divided by u/(-3) + 0 + -2? 35 Suppose -5002 = -16*q - 4154. Calculate the remainder when 164 is divided by q. 5 Let k be (2/8)/(52/3536). Suppose -k*s - 12*s + 551 = 0. What is the remainder when 50 is divided by s? 12 Let v = 310 + -305. Suppose 2 = 5*m - 13. Suppose 0 = -m*p - 1 + 22. Calculate the remainder when p is divided by v. 2 Let t = 349 + -121. Suppose 5*j - t = 2*b, 2*b - 16 = j - 252. Let c = b - -172. Calculate the remainder when c is divided by 8. 5 Suppose 20 = -10*t + 5*t, -3*h = -5*t + 52. Calculate the remainder when 1/(2/(-6))*(h - -11) is divided by 22. 17 Let j(g) = 14*g. Let s be j(1). Let t be s/((-30)/12*4/(-55)). Suppose x = 2*v - 55, 3*v - x + 5*x = t. Calculate the remainder when 77 is divided by v. 23 What is the remainder when (84282/34 - -2) + 1 + (-45)/51 is divided by 22? 17 Suppose -40 = -2*q + 3*g, -2*q + 50 = -0*q + 2*g. Calculate the remainder when (-3195)/(-36) - (-2)/(-5 - -13) is divided by q. 20 Let g = -30 + 78. Let t = 365 - 593. What is the remainder when (t/(-2))/((-117)/(-195)) is divided by g? 46 Let g(b) = -b**2 - 99*b + 3945. Calculate the remainder when 521 is divided by g(30). 71 Let g(s) = -71*s + 604. What is the remainder when g(-2) is divided by 19? 5 Let o(k) = 28*k**3 + 672*k**2 - 3*k - 62. What is the remainder when (2/4)/(6/216) is divided by o(-24)? 8 Let y(k) = 7*k**2 - 43*k + 6. Let r be y(6). Suppose 4*c - 49 = -3*j, 2*c - 3*j + 0*j - 47 = r. What is the remainder when 31 is divided by c? 15 Let z(u) = 73*u + 409. What is the remainder when 570 is divided by z(-2)? 44 Let n be (4*(-2)/6)/(15/(-945)). What is the remainder when ((-1449)/n)/((-6)/16) is divided by 10? 6 Let z(u) = -6*u + 4*u - 2*u + u + 215. What is the remainder when z(-21) is divided by 35? 33 What is the remainder when 602 is divided by (-23 - 477/(-21)) + 9/7? 0 Let z(l) = 8*l + 34. Let i(v) = -5*v - 54. Let r be i(-12). What is the remainder when z(r) is divided by 26? 4 Suppose 2*c = 4, -102*t - 3*c = -100*t - 4900. What is the remainder when t is divided by 31? 29 Let j(x) = -12*x - 2. What is the remainder when j(-6) is divided by 804/31 + 482/7471? 18 Suppose -16*i + 14*i + k + 1269 = 0, 16*k = -144. What is the remainder when i is divided by 37? 1 Suppose 18*d = 13*d - 10. Calculate the remainder when 101 is divided by ((-969)/6)/19*(0 + d). 16 Suppose -b = -j + 29, -21 = -2*j + 5*b + 49. Let p(k) = 5*k**2 - 1292*k + 6461. Calculate the remainder when p(254) is divided by j. 23 Suppose 14*d = -3*f + 14056, -25*d - f + 3012 = -22*d. Calculate the remainder when d is divided by 6. 2 Suppose 18*p - 2*p = -2*p + 558. Calculate the remainder when 59 is divided by p. 28 Let d(s) = 12 - 28*s - 21*s - 14*s**2 + 0*s**2 + 9*s - s**3. Calculate the remainder when d(-10) is divided by 2. 0 Suppose j = -h + 7344, j + 3*h - 4296 = 3042. What is the remainder when j is divided by 210? 207 Suppose 0 = i + 10*i - 5082. Suppose 43*k - 65*k = -i. Calculate the remainder when 55 is divided by k. 13 Suppose -9*j + 26905 = -13819 - 15535. What is the remainder when j is divided by 62? 51 What is the remainder when 3849 is divided by (-1498)/(-210) - (43/(-15) - -3)? 6 Let x(s) = -s**3 - 4*s**2 - 4*s - 6. Let h(g) = g + 14. Let a be h(-8). Suppose 135 = a*f - f. What is the remainder when f is divided by x(-4)? 7 Let b(n) = 6*n - 40. Let j be b(20). Suppose -5*u + j = 4*r - u, 4*u = r. Calculate the remainder when 54 is divided by r. 6 Suppose -4*n + 77 = -81 - 110. What is the remainder when n is divided by 51? 16 Let l = 1452 + -1442. Let u(z) = -z**3 + 9*z**2 + 21*z - 87. Calculate the remainder when u(l) is divided by (-1)/((-4)/(-3))*-16. 11 Let s(k) = 25*k**2 + k - 2. What is the remainder when s(2) is divided by (-185)/(-925) + (2/(-3))/((-5)/126)? 15 Let h = 2557 + -2523. What is the remainder when 65 is divided by h? 31 Let n be (10 + -3)*4*26. Suppose 30*k - n = 4*k. Let r = 36 - -46. What is the remainder when r is divided by k? 26 Suppose 790 = 35*f - 190. Suppose 0*p - 2*p = -170. Calculate the remainder when p is divided by f. 1 Suppose 612 = -130*x + 142*x. Suppose -4*w - 3*l = -2*w - 106, -w - l + x = 0. What is the remainder when w is divided by 42? 5 Suppose 41*y - 177 - 272 = 453. Calculate the remainder when 2331 is divided by y. 21 Let o(s) = 23*s - 1. What is the remainder when -13 - (9 + -11 + -141)*1 is divided by o(2)? 40 Suppose 3*a - 5*z - 43 = a, -a = -5*z - 14. What is the remainder when 112 is divided by a? 25 Suppose 4*l - u - 19 = 57, 0 = 3*l - 2*u - 52. Calculate the remainder when 39 is divided by l. 19 Let y = -856 - -858. Suppose 7*m + 69 = 10*m. What is the remainder when m is divided by y? 1 Suppose 35*a - 24 = 33*a. Calculate the remainder when ((-2)/4)/(1/(-46)) is divided by (8/a)/(0 + (-10)/(-195)). 10 Suppose -11*m + 13*m = z + 572, -1724 = -6*m + z. What is the remainder when m is divided by 37? 29 Let b(o) be the second derivative of -o**5/10 + 17*o**4/12 + 3*o**3/2 + 3*o**2/2 - 36*o - 2. What is the remainder when 86 is divided by b(9)? 2 Let c(j) = 2*j**3 - 9*j**2 - 15*j + 16. Calculate the remainder when 3118 is divided by c(7). 154 Let m = 1313 + 482. Suppose -m + 400 = -31*r. Calculate the remainder when r is divided by 19. 7 Let v(u) = -u**3 + 14*u**2 + 25*u + 14. Let l be v(16). Let b = 111 + l. Let s = 17 + 33. Calculate the remainder when s is divided by b. 11 Suppose -3751 = 67*l - 16146. Calculate the remainder when l is divided by 40. 25 Suppose 3*j - 325 = -2*k, -2*j + 8*k = 5*k - 195. Let l = 9 - 4. Suppose j = l*d - 0*d. Calculate the remainder when 38 is divided by d. 17 Let f = -117 + 361. Let o = f - 231. Calculate the remainder when 70 is divided by o. 5 Calculate the remainder when 1327 is divided by 2268/(-36)*2/(-7). 13 Suppose -5*f - 27 = -6*f. Let i = f + -17. Suppose 5*m = 3*k + 1 - 11, -k - i = -5*m. Calculate the remainder when 88 is divided by k. 8 Suppose -5*n - b + 134 = 0, 0 = -4*n + 3*b - 25 + 136. Calculate the remainder when 344 is divided by n. 20 Let t = 323 + -134. Calculate the remainder when t is divided by (-16)/((-2)/1)*(-176)/(-22). 61 Let p(t) = -31*t - 5. What is the remainder when p(-6) is divided by 22 + 19 + 340/17? 59 Let d be 6 + (-2 - 8/(-2)). Let c be 12/d*(-5 + 3). Calculate the remainder when -1 - (-64 - (3 + c) - 1) is divided by 22. 20 Let d(o) = o**3 + 16*o**2 - 132*o + 31. Calculate the remainder when 209 is divided by d(-22). 23 Let r = 1922 + -1333. Let g = r + -572. What is the remainder when 81 is divided by g? 13 Suppose -330*r - 168 = -344*r. Calculate the remainder when 441 is divided by r. 9 Suppose 405 = 5*h - 1265. Let k = -171 + h. Suppose -5*o + 0*x + 5*x = -100, -2*o = -7*x - 65. What is the remainder when k is divided by o? 13 Suppose -83*b = -82*b - 202. Suppose 0 = 201*j - b*j + 14. Calculate the remainder when 111 is divided by j. 13 Calculate the remainder when ((-2)/(4/(-3)))/((-87)/(-5336)) is divided by 29. 5 Suppose 0 = 5*a + b - 1937 - 1054, -4*b = -2*a + 1170. Calculate the remainder when a is divided by 76. 65 What is the remainder when 2121 is divided by ((-76)/14)/(4*5/(-140))? 31 Suppose 4*w = 18*w - 31414 - 61378. Calculate the remainder when w is divided by 130. 128 Suppose -5856 = -2*k + 4*c, -5*k - 53*c + 48*c = -14670. Calculate the remainder when k is divided by 113. 107 Let q = 71 + -38. Let j(b) = 2*b**2 - 60*b + 357. What is the remainder when q is divided by j(22)? 3 Suppose d = 3*u + u + 88, -u - 73 = -d. Let j = -568 + 571. Suppose -3*w = j*m - 75, -4*w + 13 = 5. Calculate the remai
{ "pile_set_name": "DM Mathematics" }
30, -348, -380, -432, -510, -620? -f**3 - f**2 - 8*f - 320 What is the q'th term of 440, 438, 436? -2*q + 442 What is the k'th term of -4, 5, 14? 9*k - 13 What is the b'th term of -23, -65, -107, -149? -42*b + 19 What is the i'th term of -3204, -3210, -3226, -3258, -3312, -3394, -3510, -3666? -i**3 + i**2 - 2*i - 3202 What is the y'th term of 14202, 14201, 14200, 14199? -y + 14203 What is the u'th term of -8322, -16644, -24966, -33288, -41610, -49932? -8322*u What is the g'th term of -94, -412, -942, -1684, -2638? -106*g**2 + 12 What is the c'th term of -169, -689, -1565, -2803, -4409, -6389, -8749, -11495? -c**3 - 172*c**2 + 3*c + 1 What is the l'th term of -18, -88, -204, -366? -23*l**2 - l + 6 What is the i'th term of 39515, 39519, 39525, 39533, 39543, 39555? i**2 + i + 39513 What is the w'th term of -12, 126, 356, 678, 1092, 1598? 46*w**2 - 58 What is the i'th term of 160, 331, 502, 673? 171*i - 11 What is the j'th term of -56, -103, -150, -197? -47*j - 9 What is the p'th term of -158, -149, -140? 9*p - 167 What is the q'th term of 293, 577, 859, 1139, 1417? -q**2 + 287*q + 7 What is the z'th term of 8303, 16608, 24911, 33212, 41511, 49808, 58103? -z**2 + 8308*z - 4 What is the c'th term of -14, -23, -36, -53, -74, -99, -128? -2*c**2 - 3*c - 9 What is the x'th term of -229, -452, -675, -898? -223*x - 6 What is the a'th term of -12, -45, -92, -147, -204, -257? a**3 - 13*a**2 - a + 1 What is the j'th term of 10, 19, -10, -89, -230, -445, -746, -1145? -2*j**3 - 7*j**2 + 44*j - 25 What is the p'th term of -38, -33, -28, -23, -18? 5*p - 43 What is the h'th term of -28, -59, -86, -109, -128, -143? 2*h**2 - 37*h + 7 What is the y'th term of 911, 1906, 2911, 3932, 4975, 6046, 7151? y**3 - y**2 + 991*y - 80 What is the l'th term of -20, -65, -130, -209, -296, -385, -470? l**3 - 16*l**2 - 4*l - 1 What is the m'th term of 10792, 21584, 32378, 43174, 53972? m**2 + 10789*m + 2 What is the g'th term of -21830, -21829, -21828, -21827, -21826, -21825? g - 21831 What is the x'th term of 603, 2399, 5393, 9585, 14975, 21563? 599*x**2 - x + 5 What is the q'th term of 87, 325, 721, 1275, 1987, 2857, 3885? 79*q**2 + q + 7 What is the x'th term of 339, 340, 341, 342, 343, 344? x + 338 What is the i'th term of 9715, 19434, 29155, 38878, 48603? i**2 + 9716*i - 2 What is the u'th term of 4, 27, 68, 127, 204, 299, 412? 9*u**2 - 4*u - 1 What is the k'th term of 81, 735, 2519, 5997, 11733, 20291, 32235, 48129? 94*k**3 + k**2 - 7*k - 7 What is the p'th term of 42, 20, 0, -18, -34, -48, -60? p**2 - 25*p + 66 What is the y'th term of -5188, -5187, -5186, -5185, -5184, -5183? y - 5189 What is the v'th term of 498, 483, 476, 483, 510, 563? v**3 - 2*v**2 - 16*v + 515 What is the a'th term of -142, -297, -478, -697, -966, -1297, -1702? -2*a**3 - a**2 - 138*a - 1 What is the v'th term of -33, -82, -135, -192, -253? -2*v**2 - 43*v + 12 What is the p'th term of -41, -62, -63, -44? 10*p**2 - 51*p What is the h'th term of -448, -1748, -3908, -6922, -10784? h**3 - 436*h**2 + h - 14 What is the r'th term of 106, 109, 112, 115, 118? 3*r + 103 What is the k'th term of -10, -3, 6, 17, 30, 45? k**2 + 4*k - 15 What is the n'th term of 118, 143, 194, 277, 398, 563, 778? n**3 + 7*n**2 - 3*n + 113 What is the l'th term of -32, 3, 26, 31, 12, -37? -l**3 + 42*l - 73 What is the j'th term of -1459, -5845, -13157, -23395, -36559? -1463*j**2 + 3*j + 1 What is the f'th term of -9, -21, -47, -93, -165, -269? -f**3 - f**2 - 2*f - 5 What is the y'th term of 126, 341, 692, 1173, 1778, 2501, 3336? -y**3 + 74*y**2 + 53 What is the u'th term of -1, -3, -5, -7, -9, -11? -2*u + 1 What is the b'th term of 5, 14, 47, 110, 209? b**3 + 6*b**2 - 16*b + 14 What is the k'th term of 410, 1627, 3654, 6491, 10138, 14595? 405*k**2 + 2*k + 3 What is the s'th term of -130, -134, -148, -178, -230, -310, -424? -s**3 + s**2 - 130 What is the h'th term of -14, 14, 44, 76? h**2 + 25*h - 40 What is the w'th term of 2076, 2074, 2072, 2070, 2068? -2*w + 2078 What is the y'th term of 19023, 19024, 19025? y + 19022 What is the l'th term of -41, -53, -67, -83, -101, -121? -l**2 - 9*l - 31 What is the y'th term of 166, 150, 100, -2, -174, -434, -800? -3*y**3 + y**2 + 2*y + 166 What is the p'th term of -25, -5, 15, 35, 55? 20*p - 45 What is the h'th term of -65, -90, -153, -272, -465, -750, -1145? -3*h**3 - h**2 - h - 60 What is the p'th term of -138, -594, -1374, -2484, -3930, -5718, -7854, -10344? -p**3 - 156*p**2 + 19*p What is the x'th term of -589, -1129, -1655, -2161, -2641? x**3 + x**2 - 550*x - 41 What is the j'th term of 534, 1066, 1598, 2130? 532*j + 2 What is the r'th term of -1102, -1106, -1112, -1120, -1130? -r**2 - r - 1100 What is the m'th term of 39, 38, 37, 36, 35, 34? -m + 40 What is the y'th term of 43, 56, 51, 28, -13? -9*y**2 + 40*y + 12 What is the w'th term of -9, -22, -53, -108, -193? -w**3 - 3*w**2 + 3*w - 8 What is the l'th term of -1289, -1293, -1297, -1301? -4*l - 1285 What is the b'th term of -14, -20, -8, 40, 142, 316, 580? 3*b**3 - 9*b**2 - 8 What is the h'th term of 21, 3, -19, -45, -75? -2*h**2 - 12*h + 35 What is the c'th term of -182, -180, -178, -176, -174, -172? 2*c - 184 What is the d'th term of 335, 667, 999, 1331, 1663? 332*d + 3 What is the y'th term of 13, 83, 207, 385, 617, 903? 27*y**2 - 11*y - 3 What is the j'th term of -1, -6, -15, -28, -45? -2*j**2 + j What is the m'th term of 234, 234, 232, 228, 222? -m**2 + 3*m + 232 What is the h'th term of -38, -30, 0, 52, 126, 222, 340? 11*h**2 - 25*h - 24 What is the f'th term of -3, -3, 1, 9, 21? 2*f**2 - 6*f + 1 What is the m'th term of 69, 117, 191, 285, 393, 509, 627, 741? -m**3 + 19*m**2 - 2*m + 53 What is the f'th term of -223, -446, -667, -886? f**2 - 226*f + 2 What is the s'th term of -45, -84, -149, -240, -357, -500? -13*s**2 - 32 What is the m'th term of -60, -53, -32, 9, 76? m**3 + m**2 - 3*m - 59 What is the x'th term of 28, -31, -134, -287, -496? -x**3 - 16*x**2 - 4*x + 49 What is the r'th term of -79, -146, -205, -256, -299? 4*r**2 - 79*r - 4 What is the s'th term of -677, -1355, -2047, -2759, -3497, -4267, -5075? -s**3 - s**2 - 668*s - 7 What is the s'th term of 149, 561, 1253, 2231, 3501, 5069, 6941? s**3 + 134*s**2 + 3*s + 11 What is the p'th term of 1679, 1688, 1709, 1748, 1811, 1904? p**3 + 2*p + 1676 What is the l'th term of -21, -24, -15, 12, 63, 144, 261, 420? l**3 - 10*l - 12 What is the y'th term of -18, -68, -144, -240, -350, -468, -588? y**3 - 19*y**2 What is the o'th term of 36, 290, 976, 2310, 4508, 7786, 12360, 18446? 36*o**3 + 2*o - 2 What is the f'th term of 677, 1355, 2033, 2711, 3389? 678*f - 1 What is the f'th term of 1, 13, 29, 49, 73, 101, 133? 2*f**2 + 6*f - 7 What is the i'th term of 15, 26, 41, 60, 83? 2*i**2 + 5*i + 8 What is the f'th term of 24, 99, 224, 399, 624, 899? 25*f**2 - 1 What is the b'th term of -100, -410, -926, -1648, -2576, -3710? -103*b**2 - b + 4 What is the w'th term of 3441, 3450, 3461, 3474, 3489, 3506, 3525? w**2 + 6*w + 3434 What is the j'th term of -10, -31, -68, -121, -190, -275, -376? -8*j**2 + 3*j - 5 What is the k'th term of -4105, -4099, -4093, -4087, -4081? 6*k - 4111 What is the i'th term of -27, -57, -87, -117? -30*i + 3 What is the y'th term of 22, 91, 208, 373, 586, 847? 24*y**2 - 3*y + 1 What is the k'th term of -2406, -2417, -2444, -2493, -2570? -k**3 - 2*k**2 + 2*k - 2405 What is the j'th term of 283, 645, 1007? 362*j - 79 What is the o'th term of -84, -337, -760, -1353, -2116, -3049? -85*o**2 + 2*o - 1 What is the q'th term of -217, -216, -215? q - 218 What is the p'th term of 1055, 1047, 1039, 1031? -8*p + 1063 What is the i'th term of 957, 934, 891, 822, 721? -i**3 - 4*i**2 - 4*i + 966 What is the o'th term of -447, -890, -1333, -1776? -443*o - 4 What is the b'th term of -14, -107, -346, -803, -1550, -2659, -4202? -12*b**3 - b**2 - 6*b + 5 What is the o'th term of -17, -69, -207, -473, -909? -7*o**3 - o**2 - 9 What is the y'th term of -287, -577, -867, -1157, -1447, -1737? -290*y + 3 What is the d'th term of -302, -346, -426, -548, -718, -942, -1226? -d**3 - 12*d**2 - d - 288 What is the y'th term of 82, 90, 86, 64, 18, -58, -170, -324? -y**3 + 15*y + 68 What is the g'th term of 128, 128, 130, 134, 140, 148? g**2 - 3*g + 130 What is the m'th term of 4292, 4291, 4
{ "pile_set_name": "DM Mathematics" }
1901*w + 27112 + 12794 = -423*w. What is the greatest common divisor of w and o? 27 Let y be 1643022/444 - (-1)/(-2). What is the highest common divisor of 200 and y? 100 Let s = 3120 + -3107. Let n be ((-4)/5)/(-3*(-2)/(-30)). What is the greatest common factor of n and s? 1 Let h(q) = -4*q**2 - 74*q - 195. Let k be h(-15). Let i = -1 + 4. Suppose i*u - 23 = 4. What is the highest common factor of u and k? 3 Let o = 1 - 44. Let q be (3 - 8)*1 + (-1 - o). What is the highest common factor of q and 333? 37 Let p = -26 + 33. Let w(k) = 23*k**2 + 7*k - p - 9*k - 20*k**2 + 6*k**3. Let f be w(3). Calculate the highest common divisor of 16 and f. 16 Let c = -133 - -145. Let l(h) = 28*h + 60. Let y be l(c). What is the highest common divisor of 36 and y? 36 Suppose -1110 = -5*t + d, 10*t + d - 1120 = 5*t. Let w be t + -2 + (-3 - 2). What is the highest common divisor of 6 and w? 6 Let s = -323 - -325. Suppose 139 = 3*d - s*q, -2*d + 0*d = 2*q - 86. Let b(w) = w**2 - 2*w + 6. Let p be b(6). Calculate the highest common divisor of p and d. 15 Let c be 8 + (0 - 0/1) + -3. Suppose 11*o - 6*o - 140 = -c*f, 4*o - f = 97. What is the highest common divisor of 1 and o? 1 Suppose 0 = 14*q - 4*q - 6*q - 500. Calculate the highest common divisor of q and 2725. 25 Let f(v) = v**3 + 5*v**2 - 39*v + 27. Let h be f(4). What is the greatest common factor of h and 10515? 15 Let i = -792 + 1336. Let f be (13 - (0 + 115))/(-3). Calculate the highest common divisor of f and i. 34 Let y(j) = -226*j + 2. Let n be y(-1). Suppose 0 = -7*l + n + 192. What is the greatest common divisor of l and 8? 4 Let m(a) = -a**3 - 13*a**2 + 54*a + 54. Let s be m(-28). What is the highest common factor of s and 51? 51 Let r be -6*(49/35)/((-81)/135). Calculate the greatest common divisor of 7980 and r. 14 Let z = 3 + 47. Let b = 55 - z. Calculate the greatest common factor of b and 5. 5 Let b = 104 + -95. Let s be -1*(-20)/5 + 8. What is the highest common factor of b and s? 3 Let q(y) = -2*y - 4. Let a be 1/((-2)/20 - (-2)/10). Suppose 4*z = a*z + 66. Let p be q(z). What is the greatest common factor of p and 54? 18 Let i(o) = -o**2 - 37*o + 1098. Let q be i(19). Calculate the greatest common factor of q and 52. 2 Suppose -2*g = g. Let a = 86 - g. Let k = a + 2. What is the greatest common divisor of k and 11? 11 Let w be 68*195/15 - -18. Calculate the highest common divisor of 88 and w. 22 Let y = -43 + 54. Let s(t) = -5*t**3 + 5*t**2 + 1. Let z(a) = a**3. Let u(p) = s(p) + 6*z(p). Let o be u(-5). What is the highest common factor of o and y? 1 Let g be (0 - -2)*119*(-4)/(-28). Let d = -15 - -20. Suppose 9*r - 136 = d*r. Calculate the highest common factor of r and g. 34 Let q be (-11 + 401)*(28/10 - 2). Suppose -4*n + h + 26 + 73 = 0, n = 3*h + 11. Calculate the greatest common divisor of n and q. 26 Let x = 355 + -351. Suppose -4*g = -3*i - 807, x*i = -7*g + 12*g - 1010. What is the greatest common divisor of g and 44? 22 Suppose -37*v + 28 = -30*v. Suppose 0 = 5*n + v*c - 62 - 32, 0 = -3*c + 3. Calculate the greatest common divisor of 207 and n. 9 Let h(l) = 9734 - 5*l + 4*l - 9725. Let o be (-35)/4 - 1/4. Let a be h(o). Calculate the highest common divisor of a and 36. 18 Suppose -18 - 18 = 25*o - 386. What is the greatest common factor of 2758 and o? 14 Let v be (-4)/36 + (-71944)/(-306). What is the highest common divisor of 1457 and v? 47 Suppose -2*i + v = 3*i - 1310, -3*i = 4*v - 786. Let g = i + -259. Calculate the greatest common factor of 39 and g. 3 Let i(o) = 5*o + 1. Let t be i(-1). Let g = t - -8. Suppose 2*p - 36 = -3*p + w, 18 = -p - 4*w. What is the highest common factor of g and p? 2 Let h(p) = -31 + 9 + 4*p**2 + 4 + 23*p - 6*p**2. Let c be h(9). Let y be (c/(-9))/(3/(-11)). What is the highest common factor of y and 11? 11 Let f(g) = -g**2 + 4*g + 12. Let q be ((-80)/50)/((-4)/10). Suppose -a - 4*m = -1, -2*m - q = 2*m. Let n be f(a). What is the greatest common factor of 1 and n? 1 Suppose -10 = 4*j + 2, -3*j = 5*i + 964. Let h = 206 + i. Let g(v) = 3*v**2 + 5*v - 3. Let f be g(-6). What is the highest common factor of f and h? 15 Let x be 3 - (1 - (-8 + (653 - -4))). Calculate the greatest common factor of 42 and x. 21 Let v = 10484 - 10454. What is the greatest common divisor of 17565 and v? 15 Let w(a) = -318*a - 616. Let v be w(-3). Calculate the greatest common factor of v and 26. 26 Suppose 27*c + 3*k = 28*c - 1404, 3*c + 3*k - 4176 = 0. Calculate the highest common divisor of 10 and c. 5 Let l(c) = 12*c**2 + 4*c - 9. Let z be l(2). Suppose z + 205 = -6*h. Let i = -25 - h. What is the highest common factor of 119 and i? 17 Suppose 9*u - 15*u = 0. Suppose 0 = -2*g - u*g, 0 = -4*h + 2*g + 528. What is the greatest common divisor of 12 and h? 12 Suppose 117*i - 1128 + 386 = 3821. What is the highest common factor of i and 87? 3 Let v(q) = -2*q**2 + 18*q + 7. Let u be v(8). Let n = u - 21. Let r(s) = -s**2 + 5*s - 3. Let d be r(n). Calculate the greatest common divisor of d and 33. 3 Suppose -5*c - 5309 = -3*o + 5169, -o - 2*c = -3500. Calculate the highest common divisor of o and 46. 46 Suppose -5*r + 2 = -3*k, 9*r - 5 = 6*r - 2*k. What is the greatest common divisor of 163 and r? 1 Let x be -9 + -42*((-120)/16 - -7). Suppose 0 = 3*b - 5*b + 256. Calculate the greatest common factor of b and x. 4 Let j be (2 - (2 - 7514))/(8/44). What is the highest common factor of j and 13? 13 Let d = 168 - 163. Suppose -d*o + 14*o - 153 = 0. What is the highest common factor of o and 51? 17 Let d = -14 - -16. Let i = 76 + -73. Suppose 49 = g - 3*j + 6*j, -i*j - 71 = -d*g. Calculate the highest common factor of 8 and g. 8 Let c(h) = 15*h - 102. Let b be c(11). Suppose 8*p = b + 465. Calculate the greatest common divisor of p and 30. 6 Let k(w) = 36*w + 93. Let v be k(3). Let t = v - 167. Calculate the greatest common divisor of t and 10. 2 Let t be (2 - -2)/(17/2431). Suppose -t*s + 160 = -564*s. What is the greatest common factor of s and 60? 20 Suppose -3*t = -4*s + t + 1176, 1440 = 5*s + 5*t. Let x(w) = 5*w + w**2 + 306 + 3*w - s. Let f be x(-9). What is the highest common factor of 84 and f? 12 Suppose 29*s - 3*s = 910. Suppose 4*d - 3*x = 29, 3*d = 3*x - x + 21. Let k = d - -2. Calculate the greatest common factor of s and k. 7 Let n(p) = -12*p. Let q be n(-1). Let i = 458 + -458. Suppose 40*a - 36*a - 120 = i. Calculate the greatest common divisor of a and q. 6 Suppose -58142 = -20*h + 78058. Calculate the highest common divisor of h and 30. 30 Let x(f) = -f**2 + 10*f - 4. Let l be x(7). Suppose -l = -4*w + 23. Let u = -80834 + 80864. Calculate the highest common divisor of w and u. 10 Let o(f) = -f**3 - 14*f**2 - f - 5. Let l be o(-14). Suppose l*x - 4 = 5*x. Let a be ((-3)/x)/(((-40)/105)/8). What is the highest common factor of a and 42? 21 Suppose 0 = 14*f - 8*f + 24. Let l be f/(-26) + (-3320)/(-52). Suppose 3*s + 9 = 0, -2*s = k + 2*k - 42. Calculate the greatest common factor of k and l. 16 Let x(s) = -651*s - 203. Let a be x(-6). What is the greatest common factor of 23 and a? 23 Suppose -4*f + 13426 = w, -274*f + 276*f = -3*w + 6698. What is the highest common factor of 438 and f? 146 Let s(m) be the first derivative of m**2/2 + 84*m + 18. Let p be s(-56). What is the greatest common divisor of 49 and p? 7 Let t = 540 + 327. Suppose 5*z - 162 = 348. What is the highest common factor of z and t? 51 Let f = 84 - 54. Suppose -3*x = 2*x - f. Let h be 78/5 + -1*x/(-15). Calculate the greatest common divisor of 112 and h. 16 Suppose -5*o - 3*z + 798 = 0, -822 = 81*o - 86*o + 3*z. Calculate the highest common divisor of o and 540. 54 Suppose 0 = -2*p + 5*o + 60, 5*p = -2*o + 208 - 58. Calculate the highest common divisor of 474 and p. 6 Suppose -3*u - 5*l + 135 = 0, -20 = -4*u - 2*l + 174. Suppose 3*x - 3*y = -1014 + 1281, -3*x + 4*y + 256 = 0. Calculate the highest common factor of x and u. 50 Suppose -17*u + 12 = -16*u - 2*z, 12 = 4*u + z. Suppose 9*m = m - 160. Let n = m - -21. Calculate the highest common factor of n and u. 1 Suppose 237 = 4*l - 5*p, -p + 249 = 250. What is the greatest common factor of l and 2146? 58 Let o(p) = 2*p**2 + 20*p + 396. Let h be o(-18). What is the greatest common divisor of 90 and h? 18 Suppose 282*o - 191330 - 9454 = 0. What is
{ "pile_set_name": "DM Mathematics" }
2*l + 9, 3*l + 32 = 2*b + 28 for l. -2 Solve 3*u + 527*f - 524*f + 12 = 0, -u = 5*f for u. -5 Solve -26 = 3*k + 5*h - 36, -5*k - 4 = -2*h for k. 0 Solve y - 2*p + 17 = 18, 2*y = -2*p - 10 for y. -3 Solve 0 = -h - 3*b + 55437 - 55432, 20 = -2*h + 4*b for h. -4 Solve 3*l + 2 = -2*b, 161*b = 163*b - 4*l - 26 for b. 5 Solve 4*o = -20, -483*i + 14 = -486*i - 4*o for i. 2 Solve -79*g = -82*g + 33*v + 621, 2*v + 40 = -g for g. -2 Solve 5*j = 5*c + 80, -33 = -2*j - 2*c - 57 for j. 2 Solve 0 = 2*r - 3*c - 25, 0 = -2*r - 814*c + 819*c + 39 for r. 2 Solve 2*s = -4*a + 6, 245*a - 249*a = 3*s - 9 for s. 3 Solve 0 = 3*j + 3*h - 3, 5 + 7 = 4*h for j. -2 Solve 4*c = -4*t + 16, 13314*c + 5 = 13316*c + 5*t for c. 5 Solve -31*t + 12 = -35*t + 4*o, o + 8 = -10*t for t. -1 Solve 4*t - 25 = 5*n, 4*n - 248*t + 251*t + 20 = 0 for n. -5 Solve -32 = -4*y, 9*r - 6*r + y + 4 = 0 for r. -4 Solve 0*q + 4*q = 3*m - 9, m - 3 = 5*q for m. 3 Solve -4*y + 126*w - 131*w + 20 = 0, -3*y + 15 = 4*w for y. 5 Solve 6*x - q - 18 = 17, 10*q = -4*x + 6*q for x. 5 Solve -23*z + 89 = 5*y, -2*y = -4*z + 9 + 1 - 6 for y. 4 Solve -2*r = 5*s + 18, 221*s + r + 9 = 220*s for s. 0 Solve 12*o - 2*i + 16 = 0, 5*o + 14 = 10*i - 11*i for o. -2 Solve 47*s + 30 = 49*s + 5*n, 0 = -5*s + 2*n + 17 for s. 5 Solve -147*p + 152*p + 4*b - 15 = 0, 5*p - 2*b + 15 = 0 for p. -1 Solve 3*n + 4*j - 58 = 0, 19*n - 18 = 18*n - j for n. 14 Solve 4*k - 55 = f, -3*f - 3*k + 67 = 37 for f. -3 Solve -o - 31 = -7*n, 3*n + 5*o - 83 + 48 = 0 for n. 5 Solve -3*g - 42 - 5 = 7*i, -4 = 2*i for g. -11 Solve -208*s = -211*s - 12, -3*n = 4*s + 31 for n. -5 Solve 22 = 2*m - 2*n, 1001 - 1042 = -4*m + 3*n for m. 8 Solve 0 = -4*j - 2*y + 22, 0 = -43*j + 39*j + 3*y - 13 for j. 2 Solve 305*j + 25 = 2*p + 300*j, 4*p - 11 = -3*j for p. 5 Solve 2*t - 5*h = -27, 0 = -3*t - 5*h + 66 - 44 for t. -1 Solve -8 = -4*v - 2*q, 67*v - 44 = 60*v + 4*q for v. 4 Solve 4*t + 45 = -5*k, 1469*t + 2*k + 20 = 1467*t for t. -5 Solve 4*g + 2*l - 6 = 2, 5*g + 2*l - 10 = 0 for g. 2 Solve 12 = 5*f - 10*d + 14*d, 5*d = -4*f + 15 for f. 0 Solve d - 1024*s + 18 = -1021*s, -3*d - s = -6 for d. 0 Solve -2*a + 2*t = 3*t - 0*t - 18, 0 = -5*t for a. 9 Solve 4*m - 18176*y + 18174*y + 26 = 0, -3*y + 29 = -4*m for m. -5 Solve v + 506*c + 7 = 505*c, 21 = -3*v + 5*c for v. -7 Solve 3*z + 5*l = -25, 5 = z - 28*l + 27*l for z. 0 Solve -2*h - 295 = t - 298, 0 = h - 4*t + 12 for h. 0 Solve 11*p + 55 = 0, 3*p + 2 + 19 = 2*z for z. 3 Solve 2*j + 5*f + 20 = 0, -j + 57280*f - 3 = 57279*f for j. -5 Solve -5*g - 1908 + 1905 = w, 5*g + 15 = -5*w for w. -3 Solve -66 = -3*i - 4*v, -117*v = 2*i - 119*v + 26 for i. 2 Solve 20 = 2*a - 4*j, 3*a - 2*j + 3 - 21 = 0 for a. 4 Solve -p + 15 = 4*f, 169 = -f + 4*p + 177 for f. 4 Solve 12 = -6*u - 2*x, -u + 51*x = 54*x - 6 for u. -3 Solve -2*z - 6*w - 18 = 0, 3*z + 58 = -5*w + 27 for z. -12 Solve -j - 11 = 2*k, 21 = -5*k - 63*j + 61*j for k. 1 Solve 15 = 241*w - 240*w - 5*n, 5*w = -5*n - 45 for w. -5 Solve 0 = -2*c + 5*n + 3229 - 3203, 8*n = 4*c - 44 for c. 3 Solve -3*b + 128 - 142 = -y, 223*y - 347 = -b - 1245 for y. -4 Solve 27*u - 4*z - 12 = 0, -4*u + 13034*z - 13029*z = -15 for u. 0 Solve 0 = -3*n + 2*i + 984 - 991, -i = -8 for n. 3 Solve 2*v + 4*g + 48 = 0, 2190*v + 11 = 2191*v - 5*g for v. -14 Solve -12 = -4*k, -53*k = 5*j - 50*k - 9 for j. 0 Solve -j + 6 = 4*k - 25, 3*j + 5*k - 44 = 0 for j. 3 Solve 10*b + 3*o - 3 = 6*b, 0 = -b - 3*o + 12 for b. -3 Solve -28 = 3*t + 2*q, 3*q - 2 = -5*t + 7*q + 10 for t. -4 Solve -51*c + 52*c = 4*w + 23, 0 = 43*w - 2*c + 221 for w. -5 Solve -6*j + 4*y = 18, -5*y + 46 = j + 32 for j. -1 Solve 1319*k - 1323*k + 12 = 0, 5*k - 85 = -14*a for a. 5 Solve -422*u - 5*f + 15 = -422*u, 5*u + 5*f = 10 for u. -1 Solve -3*i - 2*b = 0, 5*i - 14858*b = -14856*b for i. 0 Solve 5*o = -8*w + 69, 2*w - 118*o = -123*o + 21 for w. 8 Solve 5*f = p + 23, p + 5*f - 6238 = -6211 for p. 2 Solve 2*v = -2*r - 4, 0 = -v - 28*r + 31*r + 6 for v. 0 Solve 2*z + 0 - 1 = 5*i - z, z = 8 - 6 for i. 1 Solve 503*t = -5*i + 510*t + 18, 3*t + 28 = -8*i for i. -2 Solve 4*h - 2*h = -4*l - 10, 3764*h - 3754*h + 33 = -3*l for l. -1 Solve -18*r + 2*z - 55 - 1 = 0, 3*r - 4*z = -13 for r. -3 Solve -m + 10 = -2*i, 76*i + 28 = 75*i + 12*m for i. -4 Solve -2*n + 15 = -3*z, 0 = 5*n + 480*z - 482*z - 21 for n. 3 Solve -35 = 8*b + 3*m, -4*b + 8*b + 5*m + 21 = 0 for b. -4 Solve z - 5*a - 36 = 0, -59 = 5*z - 9*a - 127 for z. 1 Solve 2*i + 3*b - 9 = 0, -4*i - 545 = -5*b - 530 for i. 0 Solve 0 = z - b - 26, z + 40 = 800*b - 802*b for z. 4 Solve -5*r - 24 = -r, 7907*v - 7910*v = 2*r + 12 for v. 0 Solve 3*c = -l - 11, 3*l + 4*c + 3740 - 3717 = 0 for l. -5 Solve -2*f - 1655 = n - 1638, 43 = -3*f + 2*n for f. -11 Solve 2*i + 8 = z, 751*i = -3*z + 753*i + 12 for z. 2 Solve -3*n - 42 + 34 = 4*v, 1 = -n - 3*v for n. -4 Solve -5*f + 136 = 4*h + 122, 4*f - 20 = -h for h. -4 Solve 3*w + 5*q + 26 = 0, 26*q = 4*w + 22*q - 40 for w. 3 Solve -5*n - 4*m = 6, -168*n - 2*m + 2 = -163*n for n. 2 Solve -333*t + 5*n = -336*t + 6, 2*t = n + 4 for t. 2 Solve -3*p + 11 = -j, -3*p + 3 = -201*j + 204*j for j. -2 Solve 7*i - 5*k + 10*k = 11, -3*k = -7*k - 8 for i. 3 Solve -11*z = -5*g - 7*z - 7, z = -2 for g. -3 Solve 2*h = -5*r - 16, -3*h + 3*r = -3165 + 3168 for h. -3 Solve -192*t = -197*t + 3*w + 17, 2*t = 5*w + 3 for t. 4 Solve 0 = -4*i + 4*a - 28, i + 51*a = 56*a - 19 for i. -4 Solve 5*i + 695*z + 12 = 691*z, 3*z = 3*i + 18 for i. -4 Solve 0*k + 76 = -k - 5*i, -56 = 4*i + 8 for k. 4 Solve -2*l - 1892*n + 1893*n - 3 = 0, -2*l + 3*n = -3 for l. -3 Solve 440*o = 442*o - 6, -15 = 2*t - 3*o for t. -3 Solve -119*s + 120*s - i - 2 = 0, -2*s + 7 = -i for s. 5 Solve 0 = m + 2*v - 26 + 19, -v + 5 = m for m. 3 Solve 3*d + c + 12 = 8*d, -3*d = -5*c + 50 for d. 5 Solve 2*c + 6 = 3*n, 3*c + 5*n = n - 9 for c. -3 Solve 88*u + 4*n = 83*u + 32, 0 = -u - 4*n + 16 for u. 4 Solve -5*y = -2*v - 6 - 9, -75 = -60*y + 3*v for y. 1 Solve -2*u = -3*w + w + 4, 4*u + 1 = -3*w for w. 1 Solve -9 = -a - 4*a - 4*g, 3*a - 83 = 1192*g - 1175*g for a. 5 Solve 0 = 7*y + 2*c + 33, 2*c = -4*y + 13 - 31 for y. -5 Solve -j + 3*l = 6*l + 8, -2*l = 2*j for j. 4 Solve -2*c + 3*q = 10, 4*c + 0*q + 80 = 21*q for c. 1 Solve 37 = 5*v + 3*l, 651*v + 2*l = 646*v + 33 for v. 5 Solve 2*h + 11 = -i, -2*h - 52 = -42 for i. -1 Solve 0 = -42*u + 46*u + 28, 0 = 2*f + 5*u + 27 for f. 4 Solve -35*b = 3*m - 38*b - 3, -2*m + 3 = -3*b for m. 0 Solve -3 = -f - 4*v, 3*f - 6498*v = -0*f - 6494*v - 23 for f. -5 Solve s - 25*m + 26*m = 10, 0 = 2*m - 6 - 0 for s. 7 Solve c = -3*r + 4*c - 27, -3*c + 4*c = 4 for r. -5 Solve -5*f = s - 6, -11*s + 6 = -3*f - 14*s for f. 2 Solve -5*k + 0*k = -8*v - 22, -3*k - 4*v - 22 = 0 for k. -2 Solve 5*l = 193*b - 189*b + 16, 3*b + 13 = 4*l for l. 4 Solve -5*z + 155*d - 153*d = 51, d - 30 = 3*z for z. -9 Solve 10 = 2*x, -4*u - 10*x = -18*x + 11*x + 1 for u. -4 Solve p - 2 = 2*p, -2*x - 2*p + 4*p = -6 for x. 1 Solve 3*m + 5*g - 34 = -12, 3*m + 4*g = 17 for m. -1 Solve y + 26 = -3*y - 3*n, 26*n + 0 = -5*y + 12 for y. -8 Solve 0 = 9*w - 3*z - 54, -11*z + 8*z + 18 = 3*w for w. 6 Solve 91*c - 4*q = 94*c + 11, q = -5 for c. 3 Solve -5*h + 3 = -2, -1746*c = -1749*c - 3*h - 42 for c. -15 Solve 3*n + 4 = -g, 7*g - 3*n - 2949 + 2953 = 0 for g. -1 Solve 0 = -4*r + r - 26*b - 38, -7 = 2*r - b for r. -4 Solve 10*p - 2*q + 12 = 0, 3*q - 19 = -16 for p. -1 Solve -9*c - 90 = 3*u, 40 = -120*c + 116*c for u. 0 Solve -10968*q + 10973*q - 21 = 3*x, -2*x - 1 = q for q. 3 Solve -4*l = 20, -8*b + 5*b - 13*l = 56 for b. 3 Solve -100 = 94*n - 99*n - 5*o, 3*n - 2*o + 40 = 0 for n. 0 Solve -5*x - v = -13, -2*x = -5*v + 36 - 25 for x. 2 Solve -20610*o = -20613*o - 2*h - 13, 0 = -4*o + 6*h for o. -3 Solve -2*o + i + 0 + 17 = 0, 0 = 2*o - 5*i - 21 for o. 8 Solve 2*h + 2304*r - 5 = 2305*r, 11 = 2*h + 5*r for h. 3 Solve 0 = -18*v + 23*v + 20, -7*k - 5*v - 20 = 0 for k. 0 Solve 5*v - 4*r - 3 = 0, 5*v - 17*r + 6 = -3*r - 7*r for v. 3 Solve -i - 10*h - 48 = 0, -39*i + 4*h = -42*i - 66 for i. -18 Solve 3*g - 11 = 77*q - 78*q, 0 = q - 7*g + 9 for q. 5 Solve 0 = 18*j - 13*j - 4*c + 20, j + 4 = c for j. -4 Solve -u - 6 = h, 0 = -h + 2*u + 216 - 195 for h. 3 Solve -261*i - 266*i + 4*m + 3 = -532*i, 3*m + 6 = 0 for i. 1 Solve -4*t - 16 = 0, 0*d + 11*t -
{ "pile_set_name": "DM Mathematics" }
7633, 267631, 267627, 267621, 267613? 267603 What is next in 443, 1079, 1725, 2387, 3071, 3783? 4529 What comes next: 1203, 2393, 3595, 4815, 6059? 7333 What is the next term in -39, -175, -537, -1239, -2395, -4119, -6525? -9727 What comes next: -1140, -1115, -1076, -1017, -932, -815? -660 What is the next term in 824, 927, 1030, 1133? 1236 What comes next: 5035, 10068, 15101, 20134, 25167, 30200? 35233 What comes next: -3233, -6581, -10155, -14069, -18437, -23373, -28991, -35405? -42729 What is next in 9426, 18855, 28284, 37713? 47142 What is the next term in -120, 224, 568? 912 What is next in 121, 154, 199, 262, 349? 466 What comes next: -301, -444, -683, -1018, -1449, -1976? -2599 What is the next term in -9445, -9436, -9427? -9418 What is next in -190, -1553, -5238, -12403, -24206, -41805? -66358 What comes next: 11672, 11675, 11678, 11681, 11684? 11687 What is the next term in 25298, 101200, 227704, 404810? 632518 What is next in -125261, -125253, -125245, -125237? -125229 What comes next: 5532, 11055, 16578? 22101 What comes next: -28714, -28666, -28618, -28570, -28522? -28474 What comes next: -60089, -60090, -60091? -60092 What is next in 955, 1552, 2139, 2710, 3259, 3780? 4267 What comes next: 218, 53, -216, -583, -1042, -1587, -2212, -2911? -3678 What comes next: 250, 489, 732, 979, 1230? 1485 What comes next: -2358706, -4717416, -7076126? -9434836 What is the next term in -13021, -13025, -13031, -13039, -13049, -13061, -13075? -13091 What is next in 203, 1007, 2429, 4493, 7223, 10643? 14777 What comes next: 86904, 173816, 260728, 347640, 434552? 521464 What is next in -3996, -7989, -11982, -15975, -19968, -23961? -27954 What comes next: -37615, -37669, -37721, -37771, -37819, -37865? -37909 What is next in -1473090, -1473086, -1473080, -1473072, -1473062, -1473050, -1473036? -1473020 What comes next: -9849, -19682, -29501, -39306, -49097, -58874, -68637? -78386 What is the next term in 246845, 246853, 246861, 246869? 246877 What is the next term in 1997, 1932, 1867, 1802? 1737 What is next in 8517, 8501, 8483, 8463, 8441, 8417? 8391 What is the next term in -346, -1334, -2964, -5236, -8150, -11706? -15904 What comes next: -150492, -150491, -150490, -150489? -150488 What comes next: -389, -4038, -14217, -34190, -67221? -116574 What is next in 4229, 8610, 12977, 17324, 21645? 25934 What is next in 31469, 62935, 94399, 125861, 157321? 188779 What is next in -2487, -2484, -2481, -2478, -2475? -2472 What is the next term in -59793, -239173, -538139, -956691, -1494829, -2152553? -2929863 What comes next: 256597, 256598, 256599, 256600, 256601, 256602? 256603 What comes next: 328, 1688, 5410, 12676, 24668, 42568, 67558, 100820? 143536 What is the next term in 301, 1114, 2461, 4348, 6781? 9766 What is next in 425909, 851813, 1277717, 1703621, 2129525, 2555429? 2981333 What comes next: 56342, 112687, 169032, 225377, 281722, 338067? 394412 What comes next: -22, 75, 386, 1019, 2082, 3683, 5930? 8931 What is next in -136, 270, 678, 1088, 1500? 1914 What is the next term in 243435, 243436, 243437? 243438 What comes next: -521, -2155, -4905, -8777, -13777, -19911, -27185, -35605? -45177 What is the next term in -15093, -15093, -15095, -15099, -15105, -15113? -15123 What comes next: 14466, 28899, 43260, 57513, 71622, 85551? 99264 What comes next: 56735, 56717, 56697, 56675, 56651, 56625? 56597 What comes next: -3443, -3617, -3919, -4361, -4955, -5713, -6647? -7769 What comes next: 26798, 53597, 80396, 107195, 133994, 160793? 187592 What is next in 53733, 107437, 161137, 214833, 268525, 322213? 375897 What is the next term in -6564, -13118, -19672, -26226, -32780, -39334? -45888 What is next in 712, 857, 1004, 1153, 1304? 1457 What is next in -2392, -2409, -2428, -2449? -2472 What is the next term in 110, 1693, 5980, 14321, 28066, 48565, 77168, 115225? 164086 What is next in -3306, -6046, -8786, -11526? -14266 What is the next term in -6515, -6477, -6435, -6389, -6339? -6285 What is the next term in -17299, -34600, -51901, -69202, -86503, -103804? -121105 What comes next: 89449, 89428, 89373, 89266, 89089? 88824 What comes next: -1282, -2299, -3054, -3547, -3778? -3747 What is the next term in -2117, -4155, -6191, -8225? -10257 What comes next: -55218, -110435, -165654, -220875? -276098 What is next in -3432, -3337, -3242, -3147, -3052? -2957 What is next in 102, -81, -584, -1569, -3198, -5633, -9036, -13569? -19394 What comes next: -14272, -14235, -14138, -13951, -13644, -13187, -12550, -11703? -10616 What is the next term in -14064, -28126, -42188, -56250, -70312, -84374? -98436 What is the next term in -1207, -2047, -2885, -3721, -4555? -5387 What is next in -859, -731, -377, 317, 1465, 3181, 5579? 8773 What is the next term in -375598, -751202, -1126810, -1502422, -1878038, -2253658, -2629282? -3004910 What is next in -92, -518, -1208, -2150, -3332, -4742, -6368, -8198? -10220 What comes next: -9729, -9657, -9531, -9351, -9117, -8829, -8487? -8091 What is the next term in -237, -904, -2001, -3528? -5485 What is the next term in -626, -5041, -17018, -40337, -78778, -136121? -216146 What is the next term in -473168, -473165, -473162, -473159? -473156 What comes next: -32134, -31884, -31474, -30910, -30198? -29344 What comes next: -30255, -121035, -272335, -484155, -756495, -1089355? -1482735 What is next in 6607, 13311, 20017, 26725, 33435? 40147 What is the next term in -60, -354, -1006, -2148, -3912, -6430? -9834 What is next in 3008, 12087, 27238, 48461, 75756, 109123? 148562 What is the next term in 679, 666, 645, 616? 579 What is the next term in -25, -116, -341, -760, -1433? -2420 What is the next term in 1044, 1756, 2470, 3186, 3904, 4624? 5346 What comes next: -273, -1041, -2305, -4065, -6321, -9073? -12321 What comes next: -66298, -66348, -66398, -66448, -66498, -66548? -66598 What is the next term in 347, 672, 979, 1262, 1515, 1732, 1907? 2034 What comes next: -164, -19, 126, 271, 416? 561 What comes next: -1482, -1467, -1430, -1365, -1266? -1127 What comes next: -12, -91, -288, -651, -1228? -2067 What is the next term in -745, -2753, -6075, -10705, -16637, -23865? -32383 What comes next: -1011, -1571, -2131, -2691? -3251 What is the next term in -2656, -2741, -2834, -2935, -3044? -3161 What is next in 284, 960, 2032, 3512, 5412, 7744, 10520? 13752 What is next in -88550, -88555, -88564, -88577, -88594? -88615 What is next in -280, -621, -964, -1309? -1656 What comes next: 550, 310, 70, -170, -410? -650 What is next in 2135, 17251, 58289, 138209, 269971, 466535? 740861 What is next in -2171679, -4343357, -6515035? -8686713 What is next in -270442, -270445, -270450, -270457, -270466? -270477 What is the next term in 3972, 3962, 3952, 3942? 3932 What is next in 670, 710, 750, 790? 830 What is next in -53348, -53352, -53358, -53366? -53376 What is the next term in -5930, -11868, -17806, -23744, -29682? -35620 What comes next: 41307, 82606, 123911, 165228, 206563, 247922, 289311, 330736? 372203 What comes next: 142, 56, -190, -680, -1498? -2728 What is next in -159, -175, 109, 843, 2177, 4261, 7245? 11279 What is next in 1353873, 1353870, 1353865, 1353858? 1353849 What comes next: -121443, -121423, -121383, -121317, -121219, -121083? -120903 What is the next term in -105207, -105206, -105205, -105204, -105203, -105202? -105201 What is the next term in -107955, -107956, -107957, -107958, -107959, -107960? -107961 What is the next term in 234, 478, 878, 1428, 2122, 2954? 3918 What is next in -179, -447, -715? -983 What is the next term in 1122051, 1122050, 1122049, 1122048? 1122047 What comes next: -11536, -23094, -34664, -46252, -57864, -69506, -81184, -92904? -104672 What comes next: -4049, -4092, -4135, -4178? -4221 What comes next: 120, -62, -234, -390, -524? -630 What comes next: 51, 125, 203, 267, 299, 281, 195, 23? -253 What is the next term in -6228, -24928, -56096, -99732? -155836 What is next in -55, -30, -57, -142, -291? -510 What comes next: -224, -209, -156, -47, 136, 411? 796 What comes next: -55300, -55667, -56022, -56359, -56672, -56955? -57202 What comes next: -33280, -66561, -99842? -133123 What is next in 705, 1481, 2325, 3237? 4217 What is the next term in -5543, -11018, -16491, -21962? -27431 What comes next: 11495,
{ "pile_set_name": "DM Mathematics" }
er. 2, z, -1, -4 Let w = -116 + 116.029. Let l = 1.971 + w. Let m = l + -0.2. Sort 3, 0.5, m. 0.5, m, 3 Let h = 5857/26316 - 1/2924. Put h, 716, -2/7, -4 in descending order. 716, h, -2/7, -4 Suppose -f - 4*t = -5*f + 20, 5*f - 2*t = 19. Suppose p + 1 - 5 = 0. Put p, 0, f in decreasing order. p, f, 0 Suppose 5*r - 5*j - 30 = 0, 3*r - 32 + 13 = 4*j. Suppose -22 = -r*q - 32. Let c = -10 - -6. Sort -19, 4, c, q in descending order. 4, q, c, -19 Let k = 3 - 6. Let s(x) = -55*x - 162. Let f be s(-3). Sort 5, f, k, 0.1 in descending order. 5, f, 0.1, k Let j be (4/(-52))/((-17)/34). Put j, 4, 0.3, -0.094 in increasing order. -0.094, j, 0.3, 4 Let s = 1.04 - -22.56. Let h = 24 - s. Let n = 0.05 + -0.35. Put 0.8, h, n in ascending order. n, h, 0.8 Let g(f) = -f**2 + 113*f - 818. Let t be g(104). Sort t, 1, 3, 5 in descending order. t, 5, 3, 1 Let y(j) = -3*j**2 - 81*j - 418. Let l be y(-20). Put -1, -10, 4, l, -23 in decreasing order. 4, l, -1, -10, -23 Suppose 5*b + x - 8 = 12, 3*b = 2*x + 25. Let o = -22 - -17. Let m = -6 - o. Sort m, -4, b. -4, m, b Let z be (0/(19 + -46))/2. Let v be (-46)/(-14) - 2/7. Put -9, 1, v, z in decreasing order. v, 1, z, -9 Let a = 23868 + -23848. Put -2, a, 135 in increasing order. -2, a, 135 Let s = 11107 - 11112. Put 1/8, -4, s, -25, 11 in descending order. 11, 1/8, -4, s, -25 Let g = 9097 - 7541411/829. Put 0.3, 3, g, -1, -0.1 in decreasing order. 3, 0.3, g, -0.1, -1 Let u = -2.94 + -0.06. Let l(j) = -j + 12. Let h be l(10). Let k be (16/(-28))/(-2) + h/42. Sort k, 2, u, 1 in increasing order. u, k, 1, 2 Let h = -1.1 + 39.8. Let s = -5.5 - -43.5. Let j = h - s. Sort 1, -3/2, j in increasing order. -3/2, j, 1 Let p = -4 + 9. Suppose 2*h + 4*t - 8 = 0, -p*t + 5 = -5. Suppose 2*i = -5*q + 34 - 47, 2*q = -6. Sort h, i, 5 in descending order. 5, i, h Let i = 5746 + -5743. Put -1, i, 831 in descending order. 831, i, -1 Suppose 0 = 4*i + 5*d - 15, -4*d = 7 - 3. Let s be (90/24)/(7/128). Let x = -69 + s. Sort i, 2/7, x. x, 2/7, i Let h = -112.08 + 75.08. Sort h, 6, 1, -5/3 in increasing order. h, -5/3, 1, 6 Let l = -1 + 2. Suppose -9 = -2*h - 3*w, -9*h + 4 = -7*h - 2*w. Let g = -87 - -91. Put h, g, l, 0 in increasing order. 0, l, h, g Let k be (1 - (-130)/10) + -13. Suppose 0 = 3*v - 0*v - 12. Suppose -v*l + i + 14 = 0, 5*l - 24 = -i - i. Sort l, k, 2. k, 2, l Let p(u) = u**2 - 24*u - 52. Let x be p(26). Suppose 4*z - 24 - 12 = x. Suppose z = -3*i, -2*n - 3*n - 45 = 5*i. Put 1, 4, n in increasing order. n, 1, 4 Let b(v) = -2*v**3 + v**2 - 38*v - 91. Let n be b(-2). Sort 0.5, 0.2, n, 2/9, 27.5 in ascending order. 0.2, 2/9, 0.5, n, 27.5 Suppose -94*y + 31*y = -50*y. Let z(m) = m**2 - 13*m - 10. Let f be z(13). Let v(j) = j**2 + 11*j + 15. Let s be v(f). Sort s, -1, -3, y in decreasing order. s, y, -1, -3 Suppose -11*h + 14 = -0*h - 19. Sort h, -3, 2, 8, -4. -4, -3, 2, h, 8 Let k = 999/7 - 143. Let x = 509/1956 - 5/489. Sort 9, x, k, 1/9. k, 1/9, x, 9 Suppose 0 = -f - 2*h - 11, -6911*f + 128 = -6915*f - 20*h. Suppose 0 = -3*g + 8*g. Sort 1, f, 22, g in ascending order. g, 1, f, 22 Suppose -88 + 79 = -4*h - x, -2*h + 3*x + 15 = 0. Put -2, 4, -40, -4, h in increasing order. -40, -4, -2, h, 4 Let u = -0.1 + 0. Let b = 46423/6 + -21728/3. Let k = -496 + b. Put -0.04, k, u in descending order. -0.04, u, k Suppose 12*q - 70 - 110 = 0. Let x be (-14)/(-6) - (q + -11). Sort -1, x, 9 in ascending order. x, -1, 9 Let m = 8795.4 + -8798. Sort 3, -0.3, -2/25, -0.4, m. m, -0.4, -0.3, -2/25, 3 Let y = 14050 + -14052. Sort y, 0.025, -17/4. -17/4, y, 0.025 Let c = -707.049 + 709. Sort c, -2, -5/4 in decreasing order. c, -5/4, -2 Let t = 0 - -0.1. Suppose -d + 51 + 19 = 9*d. Sort d, t, -4, 2. -4, t, 2, d Suppose 2*a - a + 8 = 3*n, -26 = -n + 5*a. Let w(k) = k**3 + 12*k**2 - 11*k - 130. Let d be w(-12). Sort d, 26, 0, n in descending order. 26, d, n, 0 Let h be -3 + (-5)/((-40)/88). Suppose h*u - 13*u + 20 = 0. Put 2, -45, u in decreasing order. u, 2, -45 Let g be (-4)/(-22)*-2 + (-276)/(-759). Sort -143, -20, g, 2. -143, -20, g, 2 Let d be ((-20)/4)/((-30)/12). Suppose -18*v = 2*l - 20*v, 0 = -2*l + v + d. Put -4, l, 3 in descending order. 3, l, -4 Let f = -26.3 - -21.3. Suppose -5*o = q + 17, -1 = 2*q - q - 3*o. Let i be 2/q*(-28)/24. Sort 0.1, f, i, 0.4. f, 0.1, i, 0.4 Suppose -5*k - 210 = -5*i, 5*k - 92 = -i - 2. Put 29, -5, 1, i in ascending order. -5, 1, 29, i Let h = -503 + 554.4. Let t = -51.019 - -0.019. Let k = t + h. Put 0, k, -0.4 in increasing order. -0.4, 0, k Let r be (-2)/(52/8 + -7). Suppose -5*i + 3*c - 22 = 0, -c + 4 + 15 = -r*i. Sort -1, 10, 5, i. i, -1, 5, 10 Suppose 0 = 45*k - 40*k. Suppose -5 = f + 2*w - 3*w, k = 2*f + 3*w. Let l = -286 + 296. Sort -0.3, l, f, 1. f, -0.3, 1, l Suppose -w - 151 = -83. Let h = w + 202/3. Let d = 0.4 - 0.7. Put d, h, -0.2 in descending order. -0.2, d, h Let z = -17518 + 17525. Sort 865, 0, z. 0, z, 865 Suppose 6*o = 24*o - 252. Let r be (-1 + 1)/((36/3)/(-4)). Sort o, -6, r in ascending order. -6, r, o Let v = -248.573 - 0.427. Let j = 249.2 + v. Put j, 12, 1/6 in ascending order. 1/6, j, 12 Let n = -210 + 55. Let b = 129 + n. Sort -2, 5, b. b, -2, 5 Let u = 1996.88 - 2033. Let x = 36.1 + u. Sort 0.4, x, -0.5, 0.3. -0.5, x, 0.3, 0.4 Let h = 170.3 + -173.3. Sort 30, -2, 0.5, h, 0.4 in decreasing order. 30, 0.5, 0.4, -2, h Suppose -6*g - 8 = -2*g + 4*k, 3*g + 4*k = -10. Let l be 51/(-34)*(-4)/6. Let v be l/(-3)*((-217)/(-7) - 4). Sort 5, v, g. v, g, 5 Suppose 169*x = -190*x + 406*x - 2444. Sort x, -17/3, -0.5. -17/3, -0.5, x Suppose -b + 39 + 7 = 3*t, -4*b + 171 = -t. Let w = -8 + b. Sort 2, 4, -3, w. -3, 2, 4, w Let u(a) = -2*a**2 - 102*a - 883. Let g be u(-40). Put 1/2269, g, 5 in ascending order. g, 1/2269, 5 Let v = 490 - 292. Let y = -199 + v. Sort 4, y, -4, 2. -4, y, 2, 4 Let x = -2956.65 - -2956.64. Let g = -5.3 + 5. Sort g, 1/5, x. g, x, 1/5 Let i be (66/165)/((-18)/15)*15. Sort i, 3, 63, 2 in increasing order. i, 2, 3, 63 Let t(m) = m**2 - 29*m - 105. Let c be t(33). Suppose 189 = -c*a - 27. Suppose 7 = -4*w + 3, -2*w + 23 = -5*g. Put a, 3, g in decreasing order. 3, g, a Suppose 5*v - 25 = 0, 2*v = -2*p + v - 1. Let a be -2 + -1 + (-5 - p). Let i(y) = 3*y - 19. Let d be i(6). Put a, -3, d, 1 in ascending order. a, -3, d, 1 Let j = 3 + -7. Suppose k - 2*h + 1 = 0, -13*k = -25*k - 2*h - 38. Sort 4, -1, k, j in decreasing order. 4, -1, k, j Let o be ((-1360)/12)/((-4)/(-12)). Let z be (-13)/5 + (-544)/o. Put z, 21/5, -2 in ascending order. -2, z, 21/5 Let i = 92.9 - 97. Let l = i + 4.142. Let g = 0.442 - l. Sort -0.1, -3/2, -3/5, g in descending order. g, -0.1, -3/5, -3/2 Suppose 0 = -5*i - 4*l - 9, 0 = 2*i + 5*l + 6 - 16. Put 0, -18, -3, i in descending order. 0, -3, i, -18 Let u = -1817.7 - -1915. Let m = u - 97. Let z = 49 + -28. Sort -0.4, m, z in increasing order. -0.4, m, z Let p = 0.13 + 0.07. Let o = -54.45 + -0.05. Let b = o + 54. Sort p, -2, b. -2, b, p Let d = 30.66 - -3.34. Let j = -33.9 + d. Sort 1/2, 26, -4/3, j in increasing order. -4/3, j, 1/2, 26 Let j = -0.0231 + -0.2569. Let o = -2.72 + j. Sort 0.5, o, -4. -4, o, 0.5 Let m = -220 + 57. Let d = -163.4 - m. Put 2, d, 4 in descending order. 4, 2, d Let z = 236 + -239. Let t = 1.16 - 61.16. Sort z, 0.2, t in descending order. 0.2, z, t Let j(w) = w**2 - 9*w - 2. Let d be j(9). Let t = -19217.3 - -19217. Sort -5/6, t, -0.2, d in ascending order. d, -5/6, t, -0.2 Let j be (-10*7)/((-6)/(-12)). Let b = 8387 - 8390. Sort b, j, 1 in decreasing order. 1, b, j Let w = 575/438 + 3/146. Let s = 0.143 - 0.043. Sort s, 0.172, w. s, 0.172, w Let i = 2.459 - 2.5. Let x = 327/830 - -1/166. Let f = 3.11949 - 2.81949. Put f, x, i in ascending order. i, f, x Let h = 381 + -380. Let n = 285.3 - 287. Sort n, 2/11, h in ascending order. n, 2/11, h Let o = 95.5 + -143.4. Let i = 0.9 + o. Let m = -50 - i. Sort m, -0.2, -2 in increasing order. m, -2, -0.2 Let q = -10432.5 - -10433. Put 1.8, q, -35 in descending order. 1.8, q, -35 Let h(l) = -2*l + 29. Let a be h(11). Suppose -37*v - a = -36*v. Let i be (-8 - v) + -1 + 80/38. Sort -2, 5, -2/7, i in increasing order. -2, -2/7, i, 5 Let g be (-26)/(-3) - 4/6. Suppose f + 4 + 1 = 0, -f - 17 = -4*o. Let z be (9 - 29)*(-3 + 11/4). Put o, g, z in descending order. g, z, o Let f = 1862 + -20484/11.
{ "pile_set_name": "DM Mathematics" }
- -2? -1 What is 19 - 6 - (-79 + 101)? -9 -7 + (0 - -21) + -27 -13 (-1 - -2) + (35 - 47) -11 8 + 2 - (11 + 1 + -12) 10 Calculate 170 + -162 - (-1 - -12). -3 What is the value of (1 - 0) + (140 - 132)? 9 -2 - (-3 - (-6 + -9 + 5) - 7) -2 (13 - 0) + -22 + (28 - 11) 8 What is the value of -2 - (20 + 6) - (3 + 4 - 3)? -32 What is the value of -19 - (7 + 0 + -17)? -9 (19 - 2) + (15 - 52 - 0) -20 Calculate -7 - 0 - -2 - (-1 - (-1 + -4)). -9 What is the value of -15 + 6 + 30 + -29? -8 What is -26 + 8 + (-1 - -2) + 6? -11 (-538 - -540) + 0 + (8 + -1 - 0) 9 What is -6 - (1 - (0 - 5) - 12)? 0 What is (24 - 21 - 3) + 5 + -9? -4 Calculate 9 + 0 - (29 + -18 + -7). 5 What is (56 - 65) + (-13 - -2)? -20 What is the value of -12 - (-11 - (-7 + 4))? -4 Evaluate -13 + 13 - (-8 - (1 + -1 + -2)). 6 Evaluate 5 + 39 + -19 + -8 + -1. 16 -3 + -8 - (-16 + 8) -3 Evaluate (0 - (8 + -15)) + -5 + 3 + -13. -8 What is -7 - (-21 - -7 - (7 - 2 - 7))? 5 What is (20 - 45 - -19) + 0 + 10? 4 What is the value of 0 + 52 + (-797 - -778)? 33 What is (-4 + -7 - -25) + -7? 7 What is the value of (-12 - (-44 - -17)) + -7? 8 (4 - (-9 + -1 + 14)) + 12 12 0 + 11 + -13 + 7 5 -5 - (2 - 6) - (-42 + 27) 14 Calculate (9 - 17) + (0 - 9). -17 What is the value of (-27 - -33) + -38 + 2? -30 1 + 4 - (-7 + (-30 - -26)) 16 Evaluate -3 + (-24 - -27) + 2. 2 What is the value of -6 + (13 + 7 - (-8 - (7 - 7)))? 22 Calculate 9 + (26 - (18 - -4)). 13 1 - (8 + -11 + -2) 6 8 + (-29 - (-16 - -8)) -13 Calculate 29 + 8 + (-22 - 1). 14 What is -2 + (11 - (6 - 1)) + 1 + -9? -4 What is the value of (3 + 2 - 13) + 5 + -2? -5 Calculate 13 + 62 + -56 + (-5 - -2). 16 What is -25 - ((-7 - 4) + -3)? -11 Calculate -11 + -1 - (263 + -269). -6 What is -1 - 7 - (-23 + 25 - -5)? -15 Evaluate -121 - -119 - (-2 - (0 - 12)). -12 What is -17 - (-3 + (5 - 2) + 21 + -26)? -12 Calculate (0 - 0) + -20 + 54 + 0. 34 What is the value of 10 - ((-6 - (-7 + 4)) + 8 - 3)? 8 (-135 - -136) + (-2 + (-1 - -2) - -15) 15 -23 + (6 - -25) - (-5 - 0) 13 (-22 + -19 + 33 - -27) + -51 -32 What is the value of (31 - 13) + -35 - -20? 3 What is -29 + -21 + -9 + 31? -28 Evaluate -4 - -8 - (3 + -11 - 0). 12 What is the value of -22 + -31 + 40 - 1? -14 What is (-44 - -41) + 6 + -14? -11 What is the value of 2 - -3 - -3 - (-22 + -16 + 23)? 23 What is 3 - (6 + -4) - ((51 - 19) + -35)? 4 What is (0 + 1 - (447 - 435)) + -19? -30 What is the value of 1 - (15 + -2 - 25 - 0)? 13 Calculate -50 + 41 - (5 + -1) - (-5 - -2). -10 -9 + 2 + -4 - (9 - -1) -21 What is -5 - (-10 + 5 + 7 - -2 - 8)? -1 What is the value of 6 + 7 + -27 - -34? 20 Evaluate -4 - (6 - (-2 + -1 + -3 + 14)). -2 Calculate -4835 + 4819 - (-1 + -1 + -3 + 2). -13 Calculate (19 + -62 - 3) + 12. -34 What is -1 + (14 - 14) + 1? 0 What is the value of (-62 - -44) + -1 + (0 - 1)? -20 What is the value of -10 + 9 + 9 + -9? -1 (-16 - -30) + -1 - (-8 - -3) 18 Evaluate 26 - (49 + -2) - -58. 37 What is the value of -9 + (8 - 14) + 9 + 2 + -5? -9 Calculate -19 + 23 - 34 - (9 + -2). -37 What is -12 + 2 + (9 - -8) + -20? -13 (-15 - -1) + 117 + -101 - (-4 - -1) 5 Calculate (-15 - (-16 - 9)) + -3 - 32. -25 Evaluate 4 + 9 + -13 + (3 - 2). 1 What is 5 - (-7 - (-3 - (5 - 2)))? 6 Calculate -6 - -15 - 6 - -6. 9 Calculate -6 + 23 - 7 - (-7 - 6). 23 Calculate (4 - 7) + -5 + 5 - (2 + -7). 2 15 + -26 - -10 - (-2 - 8) 9 Calculate -7 + -1 - (16 + (10 - 37)) - -16. 19 Calculate 16 - (-24 + 15) - 25. 0 What is the value of -3 + 1 - -1 - (0 - (-20 + 26))? 5 What is the value of (-35 - (-41 + 20)) + 13? -1 What is -2 - (58 - 57 - (21 - -2))? 20 What is 1 + 4 - (25 + (6 - 15))? -11 What is the value of (4 - -3) + (13 - 13) + (7 - -4)? 18 Evaluate (-11 + 13 - 0 - -7) + (2 - -4). 15 -9 + (27 + 2 - 4) 16 Calculate 0 + -2 + (-15 - (6 + -14)) - 4. -13 What is the value of 0 - (17 + -13 + -5)? 1 What is 10 - 0 - (70 - 64)? 4 Calculate 10 - (9 + -16 + 10 + 9) - 33. -35 What is -1 + 7 + (290 - 314) - (3 + 0)? -21 Calculate -5 - -9 - -4 - (0 + -5). 13 What is the value of 0 - -30 - (-343 + 356 - (-1 + 15))? 31 Evaluate 32 + 1 + (11 + -24 - 3) + 14. 31 What is the value of (3 - (4 + -1)) + 2? 2 What is the value of 7 + -20 + 1 + 2 + 2 + 0? -8 Evaluate (-30 - 0 - (-4 - -5)) + 45 + -45. -31 -2 + 1 - (75 - 88) 12 Calculate (174 - 171) + -3 + (-1 - -3). 2 2 - -9 - (-233 - -239) - (-5 - 0) 10 -1 + 6 + (-294 - -276) -13 Evaluate (-1 - 3 - -4) + (-6 - 0) + -2. -8 What is the value of 17 - (36 + (-5 - -11) - 16)? -9 4 + 1 + -20 + 12 -3 What is the value of (18 + -14 - 62) + 29? -29 What is 18 - 7 - -2 - 12? 1 -1 + -2 - (-1 - (6 + -14)) -10 What is 1 + -5 - (-9 + 4 + -1 - -17)? -15 Calculate (-1 - 4) + (0 + 13 - (-721 - -743)). -14 What is -7 - (3 + -9 + -4 - 9)? 12 What is the value of 0 + 4 - (65 + -58) - (10 - 2)? -11 What is the value of (0 - 2 - -22) + -19? 1 170 - 134 - (-3 + 21) 18 Evaluate 1 + (28 + -21 - -3). 11 What is the value of 15 + -26 + 10 + -2 + -11? -14 What is 76 + -38 + (4 + -12 + -4 - -4)? 30 Evaluate (12 + 48 - -5) + -15 + -14. 36 What is the value of 0 + (0 - (8 - (9 - 10)))? -9 (0 - -1 - -10) + (3038 - 3039) 10 Calculate (-5 + -16 - -11) + 0. -10 Calculate -1 + -2 + -6 - (115 - 126). 2 What is 0 + 1 - (-141 + 146) - -13? 9 What is the value of -1 - (1 + -4) - (2 + (-4 - 2))? 6 36 + -7 + -36 + (0 - 0) + 13 6 Calculate -29 + 24 + (-2 - 3). -10 4 - (-8 + 7 + (3 - 3)) 5 What is (8 - 13) + 17 - 10 - (3 + 8)? -9 What is the value of (-2 - -17) + (8 - (1 + 15))? 7 What is 24 - 13 - -12 - (19 + 1)? 3 0 + -15 + 7 + 4 - -2 -2 Evaluate 29 + (-37 - (-8 - -33)). -33 What is the value of -7 + 5 + (18 - (24 + 0))? -8 40 + -3 + -10 + -10 17 What is (-22 - -36) + (2 - 7) - 28? -19 What is the value of (23 + -1 - 40) + 5? -13 Calculate 6 - ((-12 - -3) + (-5 - 1)). 21 3 - (2 - -5) - (-27 + 24) - -8 7 What is the value of -3 - 0 - (-5 + 9) - (-74 + 44)? 23 What is the value of -16 - (19 - 14 - 16)? -5 10 + 1 + -25 + 16 + 2 4 Calculate 242 + -235 + (-12 - -3). -2 What is 25 - (-6 + -10 + 21)? 20 -11 + (5 - -2) + 6 - -6 8 3 + 0 + -4 + 9 8 -43 + 46 + 15 - 41 -23 Evaluate -4 - (1 + 0 + -2 - 0) - 6. -9 Calculate (5 - 6 - 5 - 7) + (2 - -2). -9 (6 - (22 + (-8 - -2))) + 15 5 Evaluate -7 + (1 - 4) - (-11 + 2 + 5). -6 Evaluate -5 + -26 + 86 + -36. 19 What is (15 - (50 - 41)) + 0 + -1 + -5? 0 Calculate 14 - (29 + -15 + -8 + -5). 13 What is 21 + (38 - 45) + -1? 13 Evaluate 5 + -22 + -5 + 10. -12 What is 3 - (-3 + (5 + 4 - -11))? -14 What is 26 + (-45 - -5 - -11)? -3 Evaluate 10 + -5 + 2 + (-31 - -3) + -9. -30 What is the value of 11 + -12 + (8 - -5)? 12 Evaluate (7 - 21) + 14 + -6. -6 What is the value of 4 + (-5 + -4 - (3 - 6)) + 3? 1 Evaluate (-10 + -2 - (8 - 41)) + -14. 7 Evaluate (9 + 9 - 10) + -15 + -1. -8 Calculate -247 - -231 - (0 + -43). 27 What is the value of -11 - ((-8 - (-10 + 5)) + -5)? -3 What is the value of -30 - -1 - (3449 + -3462)? -16 Calculate 33 - (0 + (-4 - 2) - (5 - 17)). 27 (-2 + -3 + -1 - (-367 + 369)) + -20 -28 What is 13 + (-23 - (-23 - -12))? 1 What is the value of 11 + (-11 - -18 - 12)? 6 Calculate 2 + (-17 - (-186 - -185 - (1 + -4))). -17 -11 - (-14 + (10 - (4 - (10 - 8)))) -5 (2 - -4) + (-69 - -70 - (1 + 6)) 0 Evaluate 5 - 1 - ((-13 - -18) + -11). 10 (-7 - -8) + (10 - 9 - (1 - -26)) -25 Calculate -6 + (5 - (12 - 19)). 6 Calculate 19 + (-2 - (-7 - (-5 + -4))). 15 What is the value of 30 - 3 - (6 - (-8 + 7))? 20 What is (-1 - -33) + -35 + 19? 16 What is -11 - (-1 - -8 - 4 - 5)? -9 Evaluate 1 + -1 + 17 + -10 + (-4 - 18). -15 Calculate 6 + -6 - (4 - 15) - 12 - -10. 9 312 + -315 - (-25 - (0 + 0)) 22 What is -53 + 27 - -19 - (-1 - (2 - -3))? -1 What is -350 + 342 - (-26 + -3 + 3 + 1)? 17 -3 + (-18 - -9) - (17 + -12) -17 What is the value of 35 + 15 + -41 + 26 + -12? 23 -11 + (-12 - ((4 - 2) + -9)) -16 What is the value of (5 - 3) + (-2 + -1 - 5)? -6 (-58 + 50 - (1 - 20)) + -6 5 What is 9 - ((10 - (8 + -2)) + -8)? 13 -17 + 3 + (-3 - -8) -9 What is -9 + (10 - 1 - 3) + -9 - -2? -10 What is -14 - 0 - (-282 - -268)? 0 7 - -1 - -1 - (-744 - -751) 2 What is -17 - (-2 - -12 - (9 + -1))? -19 Evaluate -3 - (13 - (-15 - -38)). 7 What is the value of 10 - (-2 - (-22 - -5))? -5 Evaluate 41 + -20 - (5 + 2 + 2). 12 Calculate 1 + -19 + (25 - 38) + 27. -4 Evaluate -4 + 6 - (10 - 8). 0 Evaluate (16 + -5 + 0 + -1 - 6) + -7. -3 Calculate 127 + -117
{ "pile_set_name": "DM Mathematics" }