text
stringlengths
270
8.19k
meta
dict
- x + 344 = -3*x. Let o be (v/(-12))/(16/(-6) - -3). Let i = o - -82. Is 8 a factor of i? True Does 99 divide 27/5*547000/300? False Let u be (13 + -8)/(-2 - -1). Let n(r) = r**3 + 4*r**2 - 7*r - 4. Let d be n(u). Is d/(-9) - (11740/12)/(-5) a multiple of 39? True Suppose 348724 + 58518 = 22*p. Does 5 divide p? False Let l = -7194 - -9754. Is l a multiple of 32? True Suppose h = q - 3*h - 49, -3*q + 83 = 4*h. Suppose -3*f + 5*x + q = 0, 4*f + 3*x - 73 = -0*f. Suppose -15*n - 126 = -f*n. Does 14 divide n? True Let z(m) = -m**3 + 51*m**2 - 61*m - 4. Is 25 a factor of z(25)? False Suppose 6*m = 11*m - 1870. Suppose 59*v = 57*v + m. Is 17 a factor of v? True Suppose 4*z - 2005 = 3367. Suppose 4*t - 3*d - z = 0, 11*t - 10*t + 4*d = 350. Is t a multiple of 8? False Let r(z) = -z + 40. Let d be r(7). Suppose -32*q + d*q - 3*a = 894, 0 = 4*q + a - 3589. Does 18 divide q? False Suppose -3*v + 703 = 2*r - 2386, 3*r = 5*v - 5123. Is v a multiple of 8? False Suppose 0 = -11*l - 9550 - 4211. Let h = -601 - l. Is h a multiple of 65? True Suppose 2*r = -4*b - r + 5, 15 = -2*b - 5*r. Suppose -q - b*q = -6. Does 17 divide 9/(q - (-36)/(-38))? False Let d = 20 + -3. Let o(z) be the third derivative of z**6/120 - 3*z**5/10 + 31*z**4/24 + 11*z**3/3 + 76*z**2. Is 20 a factor of o(d)? True Let q = -13 - -34. Let i = 125 + q. Suppose 2*j + i = -s + 528, 5*s = -10. Is j a multiple of 24? True Is 148 a factor of (602/3 - 16/24)*148/8? True Let v(h) = -h**3 + 15*h**2 - 3*h - 2. Let k = -426 - -434. Does 6 divide v(k)? False Suppose 4*t - 436 + 404 = 0. Does 72 divide (t/(-6))/(6/(-1944))? True Let v = -1610 - -29001. Does 13 divide v? True Let b = 22 + -22. Suppose b = 3*v - 40 - 158. Suppose g = 2*s + 49, 0 = -5*g + 5*s + v + 154. Is 8 a factor of g? False Let j = -62 - -76. Let r be 4/(-14) - (1004/j + 4). Let b = r + 269. Is 50 a factor of b? False Is 156*((2 - 5610/(-40)) + 9) a multiple of 165? True Let q(z) = -3*z**2 + 3*z + 13. Let u be q(6). Let x = u + 87. Is 6 a factor of x? False Suppose 1953 = 24*w - 15*w. Let f = 63 + w. Is 40 a factor of f? True Let c(j) = j**3 - 19*j**2 - 20*j - 47. Let b be c(21). Let a = -316 + b. Is a a multiple of 4? False Let j(n) = 7*n**2 + 27*n + 74. Let a be (16/(-28))/((-9)/(-63)). Does 2 divide j(a)? True Suppose 5 = 5*v, 2*v = d - 3*d + 122. Suppose d*c - 1005 = 55*c. Is 21 a factor of c? False Suppose 2675469 + 1149948 = 237*n. Does 15 divide n? False Suppose -2*c + 15316 = h, 22314 = 3*c - 2*h - 674. Does 16 divide c? False Suppose 4*w + 1601 = x + 281, 0 = -4*w - 8. Does 101 divide x? False Let u be (126900/70)/(-9)*(-6 + -1). Suppose 15*l = 2160 + u. Is 8 a factor of l? False Let x = -74 + 5. Is 5 a factor of (0 - (1 - 1)) + (-8004)/x? False Suppose 0 = -42*o + 36*o - t + 167619, 0 = 2*t - 6. Does 18 divide o? True Is 93 a factor of 628 - (-22)/(66/9)? False Let m = 3346 + -139. Suppose -7*l + 4*l + m = 3*y, 1073 = l - y. Does 12 divide l? False Suppose -k - 1 = -u, -u + 0 = 3*k + 3. Suppose u = -11*h - 4*h + 1815. Is 40 a factor of h? False Let d(w) = -322*w - 8906. Is 10 a factor of d(-48)? True Suppose f = -d + 6*d - 17221, -4*d + 13778 = -2*f. Is d a multiple of 19? False Let s = 89 + -87. Suppose 5*x - s*m + 4734 = 0, -4*x = -3*x + 2*m + 954. Is 5 a factor of (2/8)/((-3)/x)? False Let g be (6 - 3) + (1 - 2/1). Let z(w) = 16*w**3 + 5*w**2 - 4*w - 2. Is z(g) a multiple of 15? False Suppose -68*g + 229*g - 3418581 = 363148. Is g a multiple of 35? False Let u(j) be the second derivative of j**4/12 - 5*j**3/2 + 19*j**2 - 28*j. Does 46 divide u(20)? True Let l = 30403 - -1097. Is l a multiple of 25? True Let p(k) be the first derivative of 14*k**3 + 4*k**2 + 6*k - 38. Does 8 divide p(-1)? True Let r(g) = 15932*g - 2985. Does 321 divide r(2)? False Let f(c) be the third derivative of -7*c**4/24 - 11*c**3 - 4*c**2 + 1. Is f(-17) a multiple of 53? True Let z = -4 - -6. Suppose -3*r = 10 - 1, 4*r + 107 = 5*q. Suppose -p + q = z. Is p a multiple of 3? False Suppose 6*s - 48 = -10*s. Is s/(15/1660) + -8 a multiple of 3? True Let b = -3288 - -4722. Is 6 a factor of b? True Let z(w) = -6 + 21*w - 1868*w**2 + 1859*w**2 + 2*w**3 + 2. Does 4 divide z(4)? True Let s(k) = 8509*k + 1069. Is s(3) a multiple of 61? True Suppose -2*z - 3 = -3*t + 1, 2*t + 5*z + 10 = 0. Suppose t = 3*d - 6 - 12. Suppose 16*q = d*q + 400. Is q a multiple of 8? True Let a(k) = -164*k**3 + k**2 + 4*k - 1. Let i(w) = -w**3 + w**2 + w - 1. Let m(u) = a(u) - 2*i(u). Let g be 1*((3 - -4) + -7) + -1. Is m(g) a multiple of 8? True Let q be (2920/(-26))/2 - (-2)/13. Let r = q + 34. Is 37 a factor of r/121 + 1333/11? False Is 8 a factor of (7*-4)/(-1)*(-242 - -244)? True Suppose 11*d - 56 = -12. Let t = 7 + -7. Suppose -3*k + t*p + 116 = d*p, p + 123 = 4*k. Does 16 divide k? True Let h(x) = -x + 6. Let z be h(3). Suppose -1200 = -3*f - 3*o, 2*o - 780 = -2*f + 4*o. Is z + 0/(-2) - f/(-5) a multiple of 37? False Suppose 41*d - 15912 = -10*d. Does 52 divide d? True Is 5 a factor of (3096/56)/((-20)/(-35))*60? True Suppose -5 = 10*p + 5. Let a = 45 - p. Does 46 divide a? True Let q = -9894 - -26950. Is q a multiple of 52? True Suppose -3*g + 3*w = -1947, 6*g - 1943 = 3*g + w. Let t = g - 177. Is 10 a factor of t? True Let g = 833 + -1199. Let x = -243 - g. Is x a multiple of 75? False Let c = 61 + -60. Suppose f + 2*v + 3 = 0, 0*v - c = -v. Let r = 81 - f. Is 19 a factor of r? False Does 63 divide -2 + (-110)/(-88) + 30347/4? False Let t(l) = -13*l**2 - 5*l**2 + 22*l + l**3 + 5*l**2 - 4 + 3*l**2. Let r be t(7). Suppose r*y = -2*k + 49, 2*y - y = k + 18. Does 17 divide y? True Let y = 15 + -20. Does 12 divide y/20*2 + (-974)/(-4)? False Let i = -2322 - -3330. Is 63 a factor of i? True Suppose 20 = 136*v - 134*v. Let g(c) = c**3 - 13*c**2 + 48*c - 20. Is g(v) a multiple of 14? False Let h(k) = 3*k**3 - 36*k**2 + 209*k - 19. Is h(17) a multiple of 61? True Let w = -62 + 65. Suppose -w*d = 17 - 59. Suppose d*m = 9*m + 450. Is 19 a factor of m? False Let k be -8 + 369/45 + 4/5. Does 16 divide (((-896)/35)/8)/(k/(-50))? True Let y(l) = -464*l**3 - 3*l - 3. Let x be y(-1). Suppose -5*t = 4*o - 2314, -o + 3*o = -t + x. Is t a multiple of 11? True Is (14548/(-12))/((70/(-195))/14) a multiple of 95? False Let l = 29070 + -17352. Does 21 divide l? True Suppose 0 = o + 4*o. Let c be (960/(-256))/((-6)/8). Suppose o = c*d - 77 + 17. Is d a multiple of 2? True Let x(v) = 131*v - 959. Does 3 divide x(9)? False Suppose 37452 + 22722 = 2*n + 7434. Is n a multiple of 15? True Let n(z) = z**3 + 2*z**2 - 29*z + 2041. Does 25 divide n(0)? False Let h(n) = -n**3 - n + 1. Let j be h(2). Let s(f) = 105*f + 208. Let d be s(-2). Is 25 a factor of 24*(j/d - 1)? False Let b(l) = -7*l**2 + 10 - 1 + 0 - 4*l - 20. Let f be b(5). Let g = f + 391. Is 35 a factor of g? False Let f = -2653 - -12346. Does 27 divide f? True Let p(c) = c**2 + 21*c - 24. Suppose -53*x = -50*x + 66. Let n be p(x). Does 25 divide 5/n*(-292)/10? False Let t(i) = i**3 - 13*i**2 + 18*i + 2. Let s(b) = -38*b - 62. Let m be s(-2). Does 10 divide t(m)? True Suppose -2127 = -4*t + 6079 + 1954. Is 238 a factor of t? False Let l = 65 + -62. Suppose l*x = -2 - 16. Let a(g) = -9*g - 21. Does 11 divide a(x)? True Let c(z) = -41*z**2 + 39*z + 56. Let p(w) = -14*w**2 + 13*w + 19. Let o(g) = -6*c(g) + 17*p(g). Let j be o(-5). Suppose 41*r = 45*r - j. Is r a multiple of 9? True Let g = 6 + -9. Let t be 8/2 + (-2 - g*26). Suppose 0 = 3*r + 4*d - 339, -2*r + 306 - t = -5*d. Does 17 divide r? False Let b be 10/(-5)*(981 + 5). Let h = -593 - b. Is h a multiple of 67? False Suppose -5*o + 12950 = 30*o. Let c = o + -251. Is 7 a factor of c? True Suppose 0 = 3*i - 2*f - 66 + 2, -3*f + 57 = 4*i. Suppose 2*x - 4 = 4*l + 8, -3*x = -5*l - i. Is 25 a factor of 1384/x + (-10)/15? False Let v(p) = 301*p**2 - 3*p - 5. Let b(f) = -151*f**2 + 2*f + 3. Let h(u) = 7*b(u) + 4*v(u). Let z be h(-2). Suppose 0 = 9*m - 18*m + z. Is m a multiple of 13? True Suppose -32*u - 23965 = -3*b - 36*u, -3*u = 15. Does 39 divide b? True Suppose -414 = -16*m - 158. Is 68 a factor of 24/m*(-2392)/(-6)? False Let v(g) = g**2 - 4*g + 572. Let o be v(0). Let d = 857 - o. Is d a multiple of 31? False Suppose 0*k = k - 27060. Is (-4)/6 - k/(-90) a multiple of 10? True Let t = -41 +
{ "pile_set_name": "DM Mathematics" }
tive of 7/4*u**4 + 0*u**3 + 0*u**5 + 29*u**2 - 4/15*u**6 + 0 + 0*u. What is the second derivative of o(i) wrt i? -192*i Suppose 3*p = -3*b - 3, 0*p + p + 4*b + 16 = 0. Let n(z) be the first derivative of -p + 2*z - z - 2*z**4 - z**4. Differentiate n(d) wrt d. -36*d**2 Suppose 2*z + 0*z = -5*b + 158, 3*b - 110 = -5*z. Find the first derivative of 9*x**2 + b*x**3 - 12*x**2 - 3 + 3*x**2 wrt x. 90*x**2 Suppose -b = -3*q - 13, 3*q = q + 5*b. Let m(z) = z**3 + 6*z**2 + 5*z + 4. Let d be m(q). What is the second derivative of 13*x**d - 8*x**4 + 0*x - 5*x wrt x? 60*x**2 Let p(c) be the first derivative of 4*c**6/3 - c**4/2 + 577*c**2/2 + 518. Find the second derivative of p(i) wrt i. 160*i**3 - 12*i Let b(l) be the second derivative of 87*l**5/20 - 29*l**2/2 - 205*l. Differentiate b(z) with respect to z. 261*z**2 Differentiate 42*y + 114 - 54 - 35 with respect to y. 42 Let t(i) = 3*i**2 + 3*i - 5. Let m be t(-4). Find the third derivative of -2*r + 2*r - 26*r**2 - m*r**4 + 12*r**4 wrt r. -456*r What is the first derivative of -42*t - 47 - 37*t + 29 + 33 wrt t? -79 Let r(h) be the third derivative of -1/3*h**5 + 0*h + 0*h**3 + 0 + 2/3*h**4 + 19*h**2. What is the second derivative of r(k) wrt k? -40 Let p be 3/(1*(-2)/(-4)). Suppose 3*m - p - 6 = 0. Find the third derivative of w**2 + 7*w**3 + m*w**3 + 6*w**2 - 2*w**3 wrt w. 54 Let b(z) be the first derivative of -47*z**4/4 + 20*z**3/3 + z**2 + 82. What is the third derivative of b(j) wrt j? -282 What is the derivative of 91*p**2 + 2183 + p**3 - 6*p**3 - 1605 wrt p? -15*p**2 + 182*p Let a(u) = -92*u**5 - u**2 + 43*u. Let b(k) = 93*k**5 + 2*k**2 - 41*k. Let x(q) = -3*a(q) - 2*b(q). What is the second derivative of x(w) wrt w? 1800*w**3 - 2 Let t(d) be the first derivative of d**6/6 - 5*d**3/6 + 8*d - 2. Let r(m) be the first derivative of t(m). What is the second derivative of r(k) wrt k? 60*k**2 Find the second derivative of -92*w**3 + 24*w**3 + 68*w**3 + 53*w**4 + 138*w wrt w. 636*w**2 Let l = 27 + -195. Let x be (-4)/18 + l/(-27). What is the second derivative of 14*h + 2*h**3 - x*h + 6*h**3 wrt h? 48*h What is the first derivative of 9*f + 1706*f**3 - 183 + 41*f - 1705*f**3 wrt f? 3*f**2 + 50 Let y(g) be the first derivative of g - 2 - 3/2*g**2. Let n(z) = -3*z. Let q(c) = -5*n(c) + 4*y(c). Differentiate q(d) with respect to d. 3 Let d(u) be the third derivative of 47*u**6/120 + 67*u**3/6 - 29*u**2 - u. What is the derivative of d(w) wrt w? 141*w**2 Let f(i) be the first derivative of -6*i**5/5 + 3*i**4/4 - 89*i**3/3 - 108. What is the third derivative of f(a) wrt a? -144*a + 18 Let l be (-52)/14 + 4 - 122/(-14). Find the third derivative of l*d**3 - d**5 + 1061*d**2 - d + 2*d - 1069*d**2 wrt d. -60*d**2 + 54 Let l(o) = o**3 - 4*o**2 + o + 3. Let b be l(3). Let x = -1 - b. What is the derivative of 0*h**3 + x*h**3 - 2 + 5 wrt h? 6*h**2 Let n(g) be the second derivative of 47*g**6/15 + 3*g**4 + 66*g. Find the third derivative of n(o) wrt o. 2256*o Let y(z) be the second derivative of 111*z**8/56 + z**5/20 + z**4/12 + 3*z - 5. What is the third derivative of y(p) wrt p? 13320*p**3 + 6 Suppose 2*f = 0, 0 = -8*g + 3*g + 2*f + 95. Differentiate -s + 17*s + g - 21 wrt s. 16 Let m(w) = -240*w**2 + 300*w - 35. Let n = 51 + -48. Let y(r) = 20*r**2 - 25*r + 3. Let z(q) = n*m(q) + 35*y(q). What is the second derivative of z(g) wrt g? -40 Let w(m) = -25*m**3 - 7*m**2 - 10*m - 141. Let z(b) = -38*b**3 - 11*b**2 - 16*b - 211. Let s(d) = 8*w(d) - 5*z(d). What is the derivative of s(l) wrt l? -30*l**2 - 2*l Let j be (-6)/33 - 333*6/(-99). What is the third derivative of 47*p + 27*p**2 - 27*p - j*p - p**5 wrt p? -60*p**2 Let j = -60 - -62. Find the second derivative of -12*a**2 + 37*a + 3*a**j - 19*a**2 + 2*a**2 wrt a. -52 What is the second derivative of 29*l + 692 + 6*l**5 - 692 - 9*l**2 wrt l? 120*l**3 - 18 Let q(x) be the first derivative of -7/4*x**4 + 0*x**2 - 50/3*x**3 + 0*x - 45. Find the third derivative of q(u) wrt u. -42 Let k = -26 - -26. Let o(w) = w + 2. Let z be o(k). What is the third derivative of g**3 - 8*g**3 - z*g**2 + 12*g**2 wrt g? -42 Find the second derivative of 71*o + 14*o**4 - 23*o**4 + 4*o**4 + 53*o**5 + 6*o**4 wrt o. 1060*o**3 + 12*o**2 Let t(n) be the third derivative of 323*n**5/30 + 565*n**3/6 + 354*n**2. Differentiate t(x) wrt x. 1292*x Let p(y) = 665*y**2 + 21*y - 15. Let i(m) = -332*m**2 - 10*m + 8. Let t(j) = -7*i(j) - 3*p(j). Find the second derivative of t(c) wrt c. 658 Suppose 5*a - 1189 = -3*y + 331, 1565 = 3*y - 4*a. Differentiate -y*k**2 - 9 + 554*k**2 + 44 wrt k. 78*k Let s be (-94)/(-18) + 20/(-90). Let m be 9 + s - (-12)/(-3). Find the second derivative of -1 - 1 - 10*u**2 + m*u + 2 wrt u. -20 Let q(k) be the third derivative of 0 - 11*k**2 + 0*k**5 + 0*k - 23/6*k**3 - 1/120*k**6 + 0*k**4. What is the first derivative of q(f) wrt f? -3*f**2 What is the derivative of -16 + 34 + 83 + 121*g**2 + 46 - 23 wrt g? 242*g Find the second derivative of 4 - 5*g - 2 + 9 - 79*g**4 wrt g. -948*g**2 Let t(m) be the first derivative of 3 + 0*m**3 + m + 1/6*m**4 - 5/2*m**2. Let i(p) be the first derivative of t(p). Differentiate i(r) with respect to r. 4*r Suppose -y + 6 = 2*y. What is the second derivative of -5*i**y - 4*i**2 - i**2 + 118*i - 132*i wrt i? -20 Let l(s) be the third derivative of 31*s**6/120 - s**5/10 - 215*s**4/12 + 224*s**2. What is the second derivative of l(p) wrt p? 186*p - 12 Let i(y) be the third derivative of y**5/60 + 2*y**3 - 4*y**2. Let r be i(0). Find the second derivative of 8*z**2 + 9*z**2 - z**2 + z - r*z**2 wrt z. 8 Let z(v) = -4*v - 9. Let b be z(-3). Differentiate -18 - 127*g**3 + 127*g**b - 8*g**4 wrt g. -32*g**3 Let p(w) be the third derivative of 3*w**8/112 - w**6/30 - 2*w**5 + 8*w**2 + 2*w. What is the third derivative of p(a) wrt a? 540*a**2 - 24 Let f(p) = -3*p**2 + 12*p - 8. Let n(t) = 9*t**2 - 24*t + 15. Let u(b) = -5*f(b) - 2*n(b). Find the first derivative of u(w) wrt w. -6*w - 12 Suppose 3*h - 26 = -17. Differentiate 11*z**h - 23*z**3 - 4*z + 12 + 4*z wrt z. -36*z**2 Suppose -3 - 3 = -2*x. Suppose -4*r + x = a, 7*r = 3*r + 5*a - 15. Differentiate 0*u**2 - u**2 - 5 + r wrt u. -2*u What is the third derivative of 30*b**6 + 81*b**6 + 8*b**6 + 108*b**5 - 110*b**5 + 209*b**2 wrt b? 14280*b**3 - 120*b**2 What is the derivative of 2*t + 19*t**4 - 2*t + 8103 - 8236 wrt t? 76*t**3 Let w(d) = -d**3 + 3*d**2 + 2*d + 2. Let x be w(-2). Find the first derivative of -x - h**3 + 47 - 22 wrt h. -3*h**2 Let l(k) = k**2 + 26*k + 52. Let a be l(-24). Find the third derivative of -3*j**a - 11*j**2 + 20*j**4 - 3*j**2 wrt j. 408*j Let u(s) = s**3 + 10*s**2 - s - 13. Let k be u(-9). What is the second derivative of -164*r + k*r + 35 - 9*r**2 + 85*r wrt r? -18 Suppose 2*m = 3*m. Differentiate -2 + m - 12 + 5*c**2 with respect to c. 10*c Find the second derivative of -4*s**5 - 88*s + 32*s**5 + 14*s wrt s. 560*s**3 Find the third derivative of 141*k**5 - 3*k**4 + 5 - 3 - 475*k**5 - 28*k**2 + 3*k**4 wrt k. -20040*k**2 Let o(z) be the third derivative of z**9/252 + 83*z**8/112 + 377*z**5/60 + 135*z**2. Find the third derivative of o(i) wrt i. 240*i**3 + 14940*i**2 Let l(i) be the third derivative of -i**7/168 + 3*i**4/8 + 5*i**3/6 - 11*i**2. Let g(p) be the first derivative of l(p). Differentiate g(d) with respect to d. -15*d**2 Let m = 13 + -11. Find the third derivative of -9*c**2 + 12*c**m + 5*c**3 - 12*c**2 wrt c. 30 What is the third derivative of -2*v**4 + 11*v**3 + 4*v**4 - 8*v**3 - 3*v - 27*v**4 - 11*v**2 - 6*v**2 wrt v? -600*v + 18 Find the third derivative of -83 + 3*k**2 - 11*k**2 + 4*k**2 + 226*k**3 + k**2 wrt k. 1356 What is the third derivative of -68*x**2 + 177*x**2 + 28*x**3 + 47*x**3 wrt x? 450 Differentiate -16*g**2 + g**3 - 56*g**2 - 54 - 41 wrt g. 3*g**2 - 144*g Let t(c) be the first derivative of 3*c**4 - 3*c**2/2 - 420*c - 143. What is the derivative of t(h) wrt h? 36*h**2 - 3 Let h(r) = -r**2 + 4*r + 2. Let n be h(4). Suppose -n*d + 0 + 10 = 0. What is the first derivative of -3*m - 2*m + d*m - 3 - 3*m wrt m? -3 Let x(l) = -44*l**5 - l**2 + l - 37. Let j(b) = 177*b**5 + 4*b**2 - 4*b + 149. Let c(z) = 2*j(z) + 9*x(z). What is the second derivative of c(m) wrt m? -840*m**3 - 2 Let j(g) be the second derivative of 2*g**5 - 2*g**4/3 - g**3 - 2*g - 2
{ "pile_set_name": "DM Mathematics" }
h that 6/13*i**4 - 4/13*i - 10/13*i**g + 8/13*i**3 + 0 = 0. -2, -1/3, 0, 1 Factor 20 - 4*p**2 + 10 - 94 - 40*p. -4*(p + 2)*(p + 8) Let x(q) be the third derivative of -q**8/3360 + q**7/420 - q**5/15 - 13*q**4/24 + 9*q**2. Let b(i) be the second derivative of x(i). Factor b(c). -2*(c - 2)**2*(c + 1) Factor 16 - 15*j**2 - 15 - 122 + 11*j**2 - 91 - 216*j. -4*(j + 1)*(j + 53) Let s(g) be the second derivative of g**6/30 - g**5/10 - g**4/4 - 95*g + 2. Factor s(y). y**2*(y - 3)*(y + 1) Let t = 40 - 35. Let r be (3 + 1)*t/30. Factor r*j**3 - 8/9*j + 0*j**2 + 2/9*j**4 + 0. 2*j*(j - 1)*(j + 2)**2/9 Suppose -3*w + 246 = 12*h - 8*h, 3*h = 3*w - 225. Let n = w - 388/5. Let 2/5*o**4 + 6/5*o**3 - 4/5 - 6/5*o + n*o**2 = 0. Calculate o. -2, -1, 1 Let t(n) be the third derivative of -n**5/90 + n**4/3 - 20*n**3/9 + 335*n**2. Factor t(y). -2*(y - 10)*(y - 2)/3 Let r(a) be the third derivative of a**6/720 - a**5/240 - a**4/24 + a**3/2 + a**2. Let b(h) be the first derivative of r(h). Factor b(z). (z - 2)*(z + 1)/2 Let x be 350/420 + (-38)/(-12). Determine b so that 0 + 0*b**2 - 3/7*b**5 + 6/7*b**x - 3/7*b**3 + 0*b = 0. 0, 1 Suppose -2777 + a**2 + 2787 + 0*a**2 - 7*a = 0. What is a? 2, 5 Let m(w) be the third derivative of 1/660*w**5 - 1/132*w**4 + 0 + 0*w + 1/66*w**3 - 17*w**2. Factor m(g). (g - 1)**2/11 Factor 0 + 0*y - 4/3*y**2. -4*y**2/3 Let s(g) be the third derivative of g**7/560 - 11*g**6/320 - 7*g**5/20 - 15*g**4/16 + 4*g**2 + 13*g. Find c, given that s(c) = 0. -2, 0, 15 Let u be (0 - 0)*(8 + -3)/15. Let k be (u + 3)/((-6)/(-4)) + 0. Factor -12/7 - 4/7*j**k - 16/7*j. -4*(j + 1)*(j + 3)/7 Let 0 + 1/2*u**2 + 3/2*u = 0. What is u? -3, 0 Let y(h) = 5*h**3 - 46*h**2 - 115*h - 56. Let z(a) = -a**2 - 1. Let g(u) = y(u) + 4*z(u). Determine m so that g(m) = 0. -1, 12 Let p(j) be the second derivative of j**7/1260 - j**6/120 - j**5/15 + 5*j**4/12 + 28*j. Let s(x) be the third derivative of p(x). Factor s(l). 2*(l - 4)*(l + 1) Let b be (-540)/(-24)*(-8)/(-6). Factor 121 + 76*d + 3*d**3 + 9*d**2 - 13 + 68*d + b*d**2. 3*(d + 1)*(d + 6)**2 Let t = -415 - -415. Let y(n) be the third derivative of -1/2*n**4 + 1/20*n**5 + t*n + 0 - 5*n**2 + 2*n**3. Factor y(j). 3*(j - 2)**2 Let q(z) be the first derivative of -z**7/84 + z**5/40 + 14*z - 4. Let o(h) be the first derivative of q(h). Factor o(s). -s**3*(s - 1)*(s + 1)/2 Let x(z) be the third derivative of 2*z - 32/21*z**3 + 26/21*z**4 - 7/60*z**5 + 1/280*z**6 + 7*z**2 + 0. Factor x(q). (q - 8)**2*(3*q - 1)/7 Let g(r) be the third derivative of 16*r**2 + 0 - 10/3*r**3 + 1/12*r**5 - 5/8*r**4 + 0*r. Factor g(s). 5*(s - 4)*(s + 1) Let i(a) be the third derivative of -a**7/1155 - 3*a**6/220 - 7*a**5/110 - 19*a**4/132 - 2*a**3/11 + 131*a**2 - 2. Factor i(u). -2*(u + 1)**3*(u + 6)/11 Let t(v) be the first derivative of -10*v**2 + 15 + 265/4*v**4 - 28*v**5 + 25/6*v**6 - 170/3*v**3 + 40*v. Determine w so that t(w) = 0. -2/5, 1, 2 Let n(b) be the third derivative of -b**5/140 - b**4/28 + 4*b**3/7 + 8*b**2 + 7. Factor n(l). -3*(l - 2)*(l + 4)/7 Let h(q) = q**4 - 2*q**2 - 1. Let n(z) = -7*z**4 + 18*z**3 - 4*z**2 - 18*z + 21. Let i(m) = -5*h(m) - n(m). Factor i(k). 2*(k - 8)*(k - 1)**2*(k + 1) Let j = 10231/5 - 2055. Let o = j - -9. Factor -1/5*i**2 + 1/5*i**3 + 1/5 - o*i. (i - 1)**2*(i + 1)/5 Find a, given that -1161/4*a**2 + 381/8*a**3 + 1215/2*a - 21/8*a**4 - 81 = 0. 1/7, 6 Let o(j) be the second derivative of 5*j**4/12 + 230*j**3/3 + 455*j**2/2 - 35*j + 1. Factor o(h). 5*(h + 1)*(h + 91) Let b(f) be the first derivative of 1/3*f**2 - 2/9*f**3 - 9 + 0*f. Suppose b(i) = 0. Calculate i. 0, 1 Let j(l) be the first derivative of l**2 - 19*l - 3. Let o be j(11). Factor 2 + h**2 + 2 - o - 3*h + h. (h - 1)**2 Let c(k) = -k**2 + 2. Let x(m) = 3*m**2 - 4*m - 12. Let v(f) = -5*c(f) - x(f). Find z, given that v(z) = 0. -1 Let o(c) be the third derivative of c**5/30 - c**4/3 + c**3 - 81*c**2. Determine i so that o(i) = 0. 1, 3 Let m be (-374)/110*4/(-34). Factor 0*a**3 - 1/5 + 0*a + m*a**2 - 1/5*a**4. -(a - 1)**2*(a + 1)**2/5 Let y(n) be the second derivative of n**7/98 + 11*n**6/140 + n**5/5 + n**4/7 - n**2 + 21*n. Let f(j) be the first derivative of y(j). Factor f(v). 3*v*(v + 2)**2*(5*v + 2)/7 Factor 24/13*u + 74/13*u**2 + 6*u**3 + 0 + 2/13*u**5 + 30/13*u**4. 2*u*(u + 1)**3*(u + 12)/13 Let q = 221/2 + -110. Suppose -5*p = -4*y + 6, 2*y = -0*y - 4*p + 16. Factor -m**2 + 1/2*m**5 + 1/2 + q*m - m**3 + 1/2*m**y. (m - 1)**2*(m + 1)**3/2 Suppose 10*v - 86 + 6 = 0. Let b(x) be the third derivative of 1/360*x**6 + 0*x**3 + 0*x**4 + 0*x**7 + 0 - 1/1008*x**v - 5*x**2 + 0*x + 0*x**5. Solve b(n) = 0. -1, 0, 1 Let b(n) be the second derivative of -2*n**7/21 + 4*n**6/15 + 3*n**5/5 - 4*n**4/3 - 8*n**3/3 - 337*n. Factor b(u). -4*u*(u - 2)**2*(u + 1)**2 Suppose 0 = 2*j - 7 + 3. Factor -5 + 17*x**3 - 11*x**3 + 5*x + 5*x**j - 11*x**3. -5*(x - 1)**2*(x + 1) Let w(j) be the third derivative of 1/42*j**5 + 0*j + 1/42*j**4 - 4*j**2 + 1/735*j**7 + 0*j**3 + 1/105*j**6 + 0. Factor w(h). 2*h*(h + 1)**2*(h + 2)/7 Let t(u) be the third derivative of 7*u**8/72 - 7*u**7/45 - u**6/45 + 2*u**5/45 + 145*u**2. Determine r so that t(r) = 0. -2/7, 0, 2/7, 1 Suppose 17*d - 110 + 22 = -27*d. Solve 8/11 + 1922/11*a**d - 248/11*a = 0 for a. 2/31 Let b be -10 + 2 - (2 - -1). Let t = -52/5 - b. Factor 4/5*a**3 + t*a**2 + 1/5*a**4 - 4/5 - 4/5*a. (a - 1)*(a + 1)*(a + 2)**2/5 Factor -6/5*z**2 - 2/5*z**5 + 0*z - 2*z**4 + 0 - 14/5*z**3. -2*z**2*(z + 1)**2*(z + 3)/5 Let i(f) be the first derivative of 2*f**3/51 + 42*f**2/17 + 882*f/17 + 86. Factor i(v). 2*(v + 21)**2/17 Let v(c) be the second derivative of 0*c**5 + 0*c**2 + 0 + 7*c - 1/12*c**4 + 1/30*c**6 + 1/12*c**3 - 1/84*c**7. Factor v(g). -g*(g - 1)**3*(g + 1)/2 Factor 4/3*z**2 - 8/3 - 2/9*z**3 - 10/9*z. -2*(z - 4)*(z - 3)*(z + 1)/9 Let v(z) be the first derivative of -z**4/8 - 4*z**3/3 - 5*z**2/4 + 7*z + 39. Determine x, given that v(x) = 0. -7, -2, 1 Let w(r) be the third derivative of r**9/151200 - r**7/12600 + r**5/5 + 30*r**2. Let l(x) be the third derivative of w(x). Factor l(a). 2*a*(a - 1)*(a + 1)/5 Determine s so that 1568/11*s - 420/11*s**2 + 48/11*s**3 - 2058/11 - 2/11*s**4 = 0. 3, 7 Suppose 4*u = 8, -m + 2 = 2*u - 5. Let x(v) be the second derivative of -3/2*v**4 + v - 1/15*v**6 + 1/2*v**5 + 0 - 2*v**2 + 7/3*v**m. Let x(h) = 0. Calculate h. 1, 2 Let j(f) = 11*f**2 - f. Let k be j(0). Let i(q) be the second derivative of q + 1/9*q**3 - 2/3*q**2 + 1/18*q**4 + k. Factor i(p). 2*(p - 1)*(p + 2)/3 Let m(a) = -a**2 - 2*a - 1. Let g(r) = 5*r**4 - 50*r**3 - 20*r**2 + 70*r + 35. Let q(u) = g(u) + 35*m(u). What is t in q(t) = 0? -1, 0, 11 Let m(s) be the first derivative of -4*s**5/5 + 14*s**4 - 64*s**3 - 28*s**2 + 196*s + 107. Determine g, given that m(g) = 0. -1, 1, 7 Solve 3/2*x**3 - x + 0 + 1/2*x**2 = 0. -1, 0, 2/3 Suppose -9*o - 4*f = -4*o - 66, 5*f + 61 = 4*o. Let z be o/4*(-22)/121 + 1. Determine d, given that -z*d**3 + 0*d - 2/11 + 6/11*d**2 = 0. -1/2, 1 Let y(t) = t**3 - 5*t**2 + 7*t - 1. Suppose 0 = 7*x + 5 - 26. Let m be y(x). Let 8/9*h - 2/9*h**m - 8/9 = 0. Calculate h. 2 Let x be (-1071)/119 - (-111)/12. Factor -3/4 - 1/2*h + x*h**2. (h - 3)*(h + 1)/4 Suppose -8*l - 1/2*l**5 - 1/2*l**3 - 3*l**4 + 12*l**2 + 0 = 0. Calculate l. -4, 0, 1 Let t(p) be the second derivative of p**5/20 + p**4/12 - p**3/3 + 19*p + 1. Factor t(o). o*(o - 1)*(o + 2) Let -3*w + 9/5 - 1/5*w**3 + 7/5*w**2 = 0. Calculate w. 1, 3 Solve 28*h**4 - 16*h**4 + 5*h**5 - 40*h - 20*h**2 + 30*h**3 + 13*h**4 = 0 for h. -2, 0, 1 Let c(u) be the third derivative of 0*u + 0 + 1/15*u**5 - 4/3*u**3 + 1/6*u**4 + 10*u**2. Determine m so that c(m) = 0. -2, 1 Let f(b) be the second derivative of 2*b**7/21 + 13*b**6/10 + 13*b**5/10 - 3*b**4/4 + 364*b. Determine v so that f(v) = 0. -9, -1, 0, 1/4 Find x, given that -15*x + 5*x**4 + 30*x**2 - 18*x**3 - 40 - 7*x**3 + 35*x = 0. -1, 2 Let q be (1 - -5) + -1 + 1. Factor n - 4*n - 4*n**3 + 2 + q*n - 2*n**4 + n. -2*(n - 1)*(n + 1)**3 Factor 233*t**4 + 12*t**3 + 9*t**2 - 17*t**2 - 237*t**4. -4*t**2*(t - 2)*(t - 1) Let m(z) be the third derivative of -z**6/80 - 7*z**5/60 - 5*z**4/12 - 2*z**3/3 + 214*z**2. Suppose m(s) = 0. What is s? -2, -2/3 Let u = 16802 - 16798. Solve -2 - 7/3*i**3 - 17/3*i**2 - 17/3*i - 1/3*i**u = 0 for i. -3
{ "pile_set_name": "DM Mathematics" }
et h be 0/5 + 12/(-4). Let y be (-1)/5 - (-1136)/r*h. What is y rounded to the nearest 100? -300 Let y(m) = 32566*m**2 + 51*m - 400. Let i be y(9). Let v = 691385 - -270710. Suppose -j = -v - i. What is j rounded to the nearest 1000000? 4000000 Let o = 5328.000019865 + -5328. Round o to 5 dps. 0.00002 Let w = -2321 + 2321.017912. What is w rounded to 3 decimal places? 0.018 Let p = -3147 + 4454. Let j = -547 + p. Let u = 759.99999643 - j. Round u to 7 dps. -0.0000036 Let k = 217.00372 + -217. Let r = k + -0.0067. What is r rounded to three dps? -0.003 Let o = -5878 + 5878.0042158. What is o rounded to three dps? 0.004 Let t = 62.826 + 18.564. Let b = 83 - t. Round b to one decimal place. 1.6 Let t = 29258021384.99999366 + -29258021653. Let r = t + 268. Round r to six dps. -0.000006 Let i = 29.4 - -1366.6. Let q = i + -1396.659. Round q to two dps. -0.66 Let n = 154958.3891711 + -155030.1892. Let a = n + 71.8. What is a rounded to six dps? -0.000029 Let i = -50370 + 50370.0000043506. What is i rounded to 7 decimal places? 0.0000044 Let w = -175.4422496 + 297.3414939. Let r = w + -97.19924531. Let x = r - 24.7. What is x rounded to 7 decimal places? -0.000001 Let d = -1961.91 + 1978. What is d rounded to zero dps? 16 Let c = 620.299144 + -620.3. Round c to three decimal places. -0.001 Let s = 10475 + -10300. Let r = 43.10704 - -131.90026. Let o = r - s. What is o rounded to 3 dps? 0.007 Let i = 10.628947564 - 10.629. What is i rounded to 5 dps? -0.00005 Let x = -363.096 + 365. Let t = -1.88 + x. Round t to one dp. 0 Let y = -6224.00385 + 6224. Round y to two dps. 0 Let r be ((-991 + -1)*-110)/(2/10625). Suppose -12*s = -s + r. Round s to the nearest 1000000. -53000000 Let u be (8/(-6))/((-2)/4224). Let h(z) = -3 + 14*z + z**2 + 2*z**2 + 1104*z**3 - 2 + u*z**3. Let m be h(-5). Round m to the nearest one hundred thousand. -500000 Suppose -118*y - 61*y = -5396313. Round y to the nearest one hundred. 30100 Let a = 362 - 840. Let h = 478.875 + a. Round h to two dps. 0.88 Let s(k) = k**2 - 12*k + 13. Let x = -79 + 90. Let u be s(x). Suppose 2*g = 3*n + 2010 + 3121, u*g - n = 5137. Round g to the nearest 100. 2600 Let v = 459.4327 + -459.2. Let n = v + -0.0077. What is n rounded to two dps? 0.23 Let p = 58.2 + -0.2. Let z = 6 - p. Let y = 51.86 + z. Round y to 2 dps. -0.14 Let a(n) = 9232*n + 108 - 108 + 5768*n. Let o(q) = q**3 + q**2 - 2*q. Let c be o(-3). Let h be a(c). Round h to the nearest 100000. -200000 Let v = 948.57 - 931. Let c = v - 16.7. Let r = c - 0.8700552. What is r rounded to 5 dps? -0.00006 Let o = -202 - 3. Let q = o + 215.7. Let d = 10.700326 - q. Round d to five decimal places. 0.00033 Let h = -31951290 + -2288710. What is h rounded to the nearest 1000000? -34000000 Let r = -238.1497 - -238. What is r rounded to one dp? -0.1 Let n = 7473167 + -4171367. What is n rounded to the nearest ten thousand? 3300000 Let y = 48.7 - 15.7. Let s = -1012 + 1044.44. Let p = y - s. What is p rounded to 1 decimal place? 0.6 Let s = 20039 - 19934.27. Let f = -10.83 + s. What is f rounded to the nearest 10? 90 Let v = -0.941785 + -260494.258215. Let b = v - -260449.1999987. Let p = b + 46. What is p rounded to 6 dps? -0.000001 Let a = -4515 + 4565.13. What is a rounded to the nearest 100? 100 Let x = 5727.93215 - 5728. Round x to two decimal places. -0.07 Let y be (6 - 5) + 3 + (-199328)/(-4). Round y to the nearest one thousand. 50000 Let m be (138990 + -1)/1 + (-5)/5. Let u be 6/(138994/m - 1). Let l = -238988 + u. What is l rounded to the nearest one hundred thousand? -100000 Let y = -4349 + 4348.994612. Round y to four dps. -0.0054 Suppose -x = 4*g - 3814888, -3*g - 11889452 = -4*x + 3370119. Let r = 1974892 - x. Round r to the nearest one hundred thousand. -1800000 Let w = 486 + -448. Let u be (-2 + w)*(-3 - (5 - -442)). What is u rounded to the nearest one thousand? -16000 Let v = -32.43 + 21.96. Let y = v + -99.13. Round y to 0 decimal places. -110 Let f = -1524 + 2190. Let h = 665.9999844 - f. What is h rounded to 6 decimal places? -0.000016 Suppose 1416027871 = -186*c - 692096129. Round c to the nearest one hundred thousand. -11300000 Let l = 260.687 + -261. Let h = l + -0.107. Round h to 1 dp. -0.4 Let y(s) = 19*s**3 - 15*s**2 - 29*s + 70. Let g be y(-20). Round g to the nearest 10000. -160000 Suppose -7*b = -2468159 - 2173331. Suppose 4*l - p - 301877 + 1377601 = 0, -2*p + 268938 = -l. Let m = b - l. Round m to the nearest one hundred thousand. 900000 Let l = -32004.6904 + 32222.7. Let s = l - 218. What is s rounded to three decimal places? 0.01 Let j = -83817370763.000001871 + 83817369710. Let c = 1053 + j. Round c to 7 dps. -0.0000019 Let v = -11069.85137 - -11074.31137361. Let w = -5.829 + 1.369. Let s = w + v. Round s to 6 dps. 0.000004 Let o(m) be the first derivative of 1074734*m**2 + 10981*m**2 - 8 + 0 + 10*m + 1. Let u be o(-7). Round u to the nearest one million. -15000000 Let l = -0.169331 + 0.16243. Round l to 3 decimal places. -0.007 Let k(n) = 16*n**2 - 2*n. Let s be k(-1). Suppose -i - 35 = s. Let c = i - -97. What is c rounded to the nearest 10? 40 Let b = -1697 - -1381.3. Let y = b + 403. Let d = 86.917 - y. Round d to one decimal place. -0.4 Let h = -88104 - -88124.1332. What is h rounded to 1 dp? 20.1 Let p = 255 - 371. Let y = p - -115.9999669. What is y rounded to 6 decimal places? -0.000033 Let y be (3294/(-135))/61 + 372212/5. What is y rounded to the nearest ten thousand? 70000 Suppose 5*y + 23402109 = -11*k + 13*k, 4*y + 3*k + 18721678 = 0. Let b = y + -7549579. Round b to the nearest 1000000. -12000000 Let x = -373.9983828 - -374. Round x to five dps. 0.00162 Suppose 4*x - s = -896713, -148*s + 144*s - 448388 = 2*x. Round x to the nearest 1000. -224000 Suppose 0 = -3*h + 11 - 8. Suppose 11 = 3*d - h. Suppose 5*t = -4*y - 0*t + 3715, -d*t = -2*y + 1864. What is y rounded to the nearest 100? 900 Let k = -182 + 163.9. Let h = 12.3 + k. Let f = h + 5.8141. Round f to 3 dps. 0.014 Let r(d) = 6*d**3 - 2*d**2 + 6*d - 5. Let u be r(1). Suppose -221400000 = -14*t + u*t. Round t to the nearest 1000000. 25000000 Let s(o) be the second derivative of -59*o**3/3 - 21*o**2 - 96*o. Let f be s(6). Round f to the nearest 1000. -1000 Let w(a) = 2*a**3 - a**2 + a - 12. Let j = 41 + -30. Suppose b - 3*u = -2, 0*u + j = -2*b - u. Let x be w(b). Round x to the nearest 100. -300 Let l = 13.7182 - 14.02219392. Let c = 0.304 + l. What is c rounded to six decimal places? 0.000006 Let z = 60 - 67. Let g be ((-45)/(-3))/((z/(-15))/7). Let l be (40*g)/(((-9)/(-1770))/1). Round l to the nearest one hundred thousand. 1800000 Let q = -13140.00004692 + 13140. Round q to five decimal places. -0.00005 Let i = -183480094.0000274 + 183479862. Let k = 232 + i. Round k to 6 decimal places. -0.000027 Let h be 2/((-4)/(12/(-3))). Suppose h*k - 4 = 4*i, 0 = -5*k - 2*i - 17 + 75. Let u be k/(-7) + 2 - (-12814)/(-7). Round u to the nearest 100. -1800 Let z = -274 - -278. Let d be 4262399992/32 + z/16. Round d to the nearest one million. 133000000 Let k be 37762*(-88 + 0/(-1 + -4)). Let w = 1613056 + k. What is w rounded to the nearest 100000? -1700000 Let q = 15483 + -15064.88. Let b = 381 - q. Round b to the nearest 10. -40 Let n(o) = -633*o**3 - 26*o**2 + 105*o - 32. Let f be n(7). What is f rounded to the nearest 10000? -220000 Let d = -0.2323 - -320.1423. Let m = -389.3 - -67.3. Let c = d + m. Round c to 1 dp. -2.1 Let i = 2427.0116 - 2423. Round i to zero decimal places. 4 Let v = -145109 + 144509.19. Let x = v - -596. Let g = 4.027 + x. Round g to 2 dps. 0.22 Let q = 92.4231 - -0.1769. Round q to the nearest 100. 100 Let z = 1.422 + -1.4873. Round z to 1 dp. -0.1 Let w = 788.46 - 573.2. Let z = w - 211. Round z to one decimal place. 4.3 Let f = -1183.2 - -1248.63. Let i = f - 1.43. Let u = i - 64.0031. Round u to 3 dps. -0.003 Suppose 0*i - 150 = 5*i. Let t be i/105 - (-54866690)/14. Suppose 0 = 2*k + 9680951 + t. What is k rounded to the nearest one million? -7000000 Let h be (-14)/245 + 129118860/175. Let o = h - 436822. What is o rounded to the nearest ten thousand? 300000 Let n = 1309.08875 - 1309. What is n rounded to 2 dps? 0.09 Let j = 103.4 - 103.3987026. Round j to five decimal places. 0.0013 Let i be 0/(0 - (5 - 2 - 2)). Let o be (-2 + -5
{ "pile_set_name": "DM Mathematics" }
is the closest to 2? (a) 1 (b) -5 (c) 849.79 a What is the nearest to -3 in -1, 10.39, 327? -1 What is the nearest to 0 in 0, -0.5, 0.1, 461, 3/26? 0 What is the closest to 1/6 in 3/2, 0.58, -230, 9/2? 0.58 What is the nearest to 830 in -1265, -0.7, 3/2? 3/2 What is the nearest to 0.01 in 13, -2916, -4/5? -4/5 What is the closest to -0.084 in 1, -3, -0.7, 9, 0.12, 2? 0.12 Which is the closest to 0.3? (a) -264 (b) 0.01 (c) -62 (d) 2 (e) -0.2 b Which is the nearest to -17? (a) -315 (b) 0.1 (c) 0 (d) -2 (e) -1 d What is the closest to 2/5 in 1/8, -4, 179, 2/5? 2/5 Which is the closest to 0.15052? (a) 5/6 (b) 0 (c) 5 b What is the closest to 44 in -10, 6, -4/5, -0.09, 14? 14 Which is the nearest to -5/6? (a) 31/26 (b) -3 (c) -5 (d) 5/29 (e) -1 e What is the closest to -0.08 in 5, 31, 88/157, 0.01? 0.01 Which is the closest to -1077? (a) -9 (b) -1.6 (c) -4 (d) 0.2 a Which is the nearest to -2/5? (a) 2 (b) -0.01 (c) -0.2 (d) 265 (e) 0.09 c Which is the closest to 7/4? (a) 0 (b) -2 (c) -0.2 (d) 4 (e) -3/6079 a Which is the nearest to -0.0635? (a) -3.9 (b) 0.2 (c) 3/4 (d) -0.4 (e) -2/15 e What is the closest to -0.1 in 0.073, -0.4, 3/5, -56, -3? 0.073 What is the closest to -1 in -5, -1/6, -0.2, 11287, -12? -0.2 Which is the closest to 2/61? (a) 1978 (b) 16 (c) 2/17 (d) 3 c What is the closest to -2/3 in -0.11, -2/7, 1519/4, 69? -2/7 What is the closest to -16456 in -4, -5, 24, -1? -5 Which is the nearest to 27? (a) -1/5 (b) -0.15 (c) 271 b What is the closest to 0 in 31/5, -27077, 2/7? 2/7 Which is the closest to 246? (a) 1 (b) -13 (c) 180 c What is the nearest to 35 in -2/47, 15, 5, 3? 15 What is the nearest to -0.1 in -1/144, 0.5, -16, -3, 141? -1/144 What is the nearest to -0.1 in -11.68, 5.8, 0.4? 0.4 What is the nearest to -1/3 in -0.3, 199, 0.08, 4/7, 3/7? -0.3 What is the closest to -2/7 in 4/7, -8, -6.1, -2/11, 28? -2/11 What is the nearest to -8 in -38, 2, -27, 6/5? 6/5 Which is the closest to -2? (a) 2/7 (b) -23 (c) 6/5 (d) 3 (e) -1/2 (f) 66 e Which is the nearest to -0.36? (a) 75 (b) 1 (c) -199 b Which is the nearest to -63? (a) -0.12 (b) -5 (c) 5 (d) 394 (e) 2/5 b Which is the nearest to 5? (a) 277 (b) -4 (c) -798 (d) 3/13 (e) -1/4 d What is the nearest to 0.2 in -21, 781, -0.5, 18, 1/6? 1/6 Which is the closest to 1? (a) 0.07 (b) -38 (c) 2645 (d) 45 a Which is the closest to -0.012706? (a) 4 (b) 3/28 (c) 1 b What is the nearest to 0.2 in -2, 780, -1/11, 1.4? -1/11 Which is the closest to -7? (a) 146 (b) -3/2 (c) 5 (d) -0.5 (e) -23 b Which is the closest to -0.1? (a) 27.397 (b) -0.12 (c) -1/2 b Which is the closest to -3/4? (a) -13 (b) 3 (c) -4/3 (d) -2/5 (e) 2/337 d Which is the closest to -4.115? (a) -0.2 (b) -1 (c) -1094 b Which is the nearest to 1/3? (a) 407 (b) 116 (c) 0.5 c What is the nearest to 0.37 in 0.5, 2/1163, -7, 5? 0.5 Which is the nearest to 470? (a) -1/2 (b) -1/5 (c) -0.3 (d) -10 (e) 0.2436 e Which is the nearest to 1? (a) 29.6 (b) 13 (c) -1/7 (d) -13/9 c Which is the closest to 0.5? (a) -2 (b) 3/5 (c) -2/5 (d) 7.99 b Which is the nearest to 907? (a) 5 (b) -17 (c) -5/3 (d) 2/5 (e) -3 (f) 2/19 a Which is the nearest to -1? (a) -1420 (b) 0.9 (c) -1 c Which is the nearest to 0.3? (a) 853 (b) -13 (c) 4 (d) -10 c What is the closest to 2/5 in 0.02, 5/4, 105, 244? 0.02 What is the closest to 73 in 2, -8, -0.5, -0.3, -87.7? 2 Which is the nearest to -27? (a) 2 (b) -1.09 (c) 0.02 (d) -0.3 (e) 0 b Which is the nearest to -0.02? (a) -5 (b) 22 (c) 2/13 (d) 4 (e) -0.076 e Which is the nearest to -113? (a) -0.007 (b) 1 (c) -2357 a Which is the nearest to -2? (a) 0.1 (b) -93 (c) 2 (d) 292 a Which is the closest to -4/19? (a) -1/5 (b) 26 (c) 4 (d) 2/7 a What is the closest to 0.02 in -89, 2/19, 4, -4? 2/19 Which is the closest to 0? (a) -0.3 (b) -124 (c) 0.02 (d) -4/3 (e) 30/11 c Which is the closest to -0.1? (a) 9 (b) -0.4 (c) -51253 (d) 1/3 b Which is the closest to -11.49? (a) -2/5 (b) -1/89 (c) 2 (d) 0.3 a Which is the closest to -1? (a) 466 (b) 4 (c) 0.2 (d) 8 (e) -0.1 (f) 1/25 e What is the nearest to -1/4 in 3/4, -0.3, 13464, 4/7, 68? -0.3 Which is the nearest to -2? (a) -5 (b) -1/13811 (c) -719 (d) -1 d What is the nearest to 15470 in 2, 0.2, -0.36? 2 Which is the closest to -0.7? (a) 2 (b) 121 (c) -6914 (d) -0.3 d Which is the nearest to 14? (a) -0.1 (b) 1 (c) -2 (d) 7776 (e) 0.2 (f) -0.8 b Which is the closest to -270154041? (a) 4 (b) 2/3 (c) 1 b Which is the closest to 2? (a) 80 (b) -2/15 (c) 4.6 (d) 2/21 (e) -1 d Which is the nearest to 2/325? (a) 0.1 (b) -13 (c) -4.53 a What is the nearest to -4 in -4, -7, 4612, 0.4? -4 What is the nearest to -1 in -634, -2, 3, -0.291, -11? -0.291 Which is the closest to 1? (a) -6 (b) -0.07875 (c) -5 b What is the nearest to -512.5 in 0.2, 3/4, -1.2, -0.8, -5, -2? -5 Which is the nearest to -0.1? (a) -374 (b) -3/4 (c) -20.9 (d) -4/3 b What is the nearest to -8/5 in 0, 1, -0.06, 1.53, -2/11? -2/11 Which is the nearest to -2790/7? (a) -10 (b) 1/11 (c) -3 a Which is the nearest to 0.5? (a) 84 (b) 1 (c) 6873 b Which is the closest to -0.1? (a) -5 (b) 71.33938 (c) 0.027 c What is the closest to -1.14 in -159/7, -1/6, 0.053, -0.5? -0.5 Which is the nearest to 4? (a) 1 (b) -2/47 (c) -1/6 (d) 5/3 (e) 0.9 d Which is the nearest to -8? (a) 29 (b) -0.1 (c) -0.4 (d) -6070 c What is the nearest to 2/5 in 503, -1.06, 11, -2/11? -2/11 What is the nearest to 0 in -35, -0.5, -5285? -0.5 What is the nearest to 0.36 in -1460, -2/7, -27, 3/4? 3/4 Which is the nearest to -3? (a) -0.2 (b) -0.4 (c) 0 (d) 2369 b Which is the closest to -1? (a) 15 (b) -3/106 (c) 1/5 (d) 4/5 b What is the nearest to 568 in -0.241, 1/3, 3, 0.1? 3 Which is the closest to -879? (a) 4/9 (b) 378 (c) 1/10 c What is the nearest to 6/35 in -116, 2/3, 0.079? 0.079 Which is the nearest to -3/2? (a) -28 (b) -0.4 (c) -1/30 (d) 259 (e) 5 b What is the closest to 10/9 in -2, -3, -5, 10/13, -0.4, 2/3231? 10/13 Which is the closest to 10? (a) -5 (b) -2 (c) -1 (d) -2.9 (e) -1/8 e What is the closest to 98.1 in 16/87, 3/7, -9? 3/7 What is the closest to 5472 in -53.41, -2/19, 3/5? 3/5 What is the nearest to -1/2 in 369, 31, 0.3, 15, 5, 0? 0 What is the closest to 0.1 in -5455, 3, 3/11, -11.8? 3/11 What is the closest to 7/2 in -1/5, -0.05, 42/5, 0? 0 Which is the closest to -2/25? (a) 0 (b) -4 (c) 111 (d) -3 (e) -5/81 (f) 3 e Which is the nearest to 0? (a) 18 (b) 4 (c) 5 (d) 6/23 (e) -0.3 (f) -4/705 f Which is the closest to 13? (a) -0.68 (b) -1/118 (c) -4/9 b What is the closest to 0.1 in -6/11, 285, 6.988? -6/11 Which is the nearest to 1? (a) 1 (b) 7/21752 (c) -0.5 (d) 0.2 (e) 29 a Which is the closest to 122? (a) 0.5 (b) 9142 (c) -168 a What is the nearest to 1/3 in 3, 18581.9, 0, 1? 0 Which is the closest to -1? (a) 0.0481 (b) -2.1 (c) -4 (d) -1/5 d Which is the nearest to 0.6? (a) -0.1 (b) 5 (c) 8/151 (d) -538 c Which is the nearest to 398/155? (a) 1/9 (b) 2 (c) -14 (d) 51 b Which is the nearest to 103/5? (a) -0.5 (b) 9865 (c) 2 c Which is the nearest to 17? (a) 4 (b) 0 (c) 20 (d) -0.1 (e) 67 c What is the nearest to 1.1 in 5/4, 83, -0.9, -34? 5/4 What is the nearest to 1/5 in -4/7, 5/19903, 18, -1/4? 5/19903 What is the closest to 0 in 29, 4, -2, -2/7, 16746? -2/7 Which is the nearest to -1/11? (a) 0.4 (b) -1 (c) 700 (d) -175/4 (e) 2/9 e Which is the closest to 1? (a) -3/4 (b) 77 (c) 115 (d) -152 a Which is the closest to -2/7? (a) 2 (b) -0.0695 (c) -3/8 (d) 5 (e) -0.2 (f) 62 e Which is the nearest to 2/7? (a) -0.02 (b) 3 (c) -3 (d) -106/3 a What is the nearest to 2166 in 140, 3/2, -3/2, 3/5, -0.5? 140 Which is the closest to -1/4? (a) 5 (b) -14226 (c) 14 (d) -3 (e) -0.1 (f) 0.1 e Which is the nearest to 1? (a) 12 (b) -69 (c) 150 a What is the nearest to -1 in 3, 1/3, 2/503, 0.19, 2, 5? 2/503 Which is the nearest to -7064? (a) -3.4 (b) -5 (c) -2 (d) -250 d Which is the closest to -2? (a) 1/53 (b) 0.1 (c) -6/5 (d) -5225 (e) -3 c What is the closest to -1 in 85, -1.1, 5, -8/5? -1.1 What is the nearest to 26181 in -4, -0.086, 2/15? 2/1
{ "pile_set_name": "DM Mathematics" }
66 Factor -14*k**3 + 247880*k**2 + 70824*k. -2*k*(k - 17706)*(7*k + 2) Solve 2*y**3/17 - 116*y**2/17 + 898*y/17 - 784/17 = 0. 1, 8, 49 Suppose -2*z**4 - 1502*z**3/5 - 654*z**2 - 2074*z/5 - 296/5 = 0. Calculate z. -148, -1, -1/5 Determine r, given that r**5 - 76*r**4 + 293*r**3 - 362*r**2 + 144*r = 0. 0, 1, 2, 72 Solve -5*r**3 + 14930*r**2 = 0 for r. 0, 2986 Let -2*u**3/5 - 686*u**2 - 23876*u/5 + 61488/5 = 0. Calculate u. -1708, -9, 2 What is m in 3*m**5 + 103*m**4 - 799*m**3 + 885*m**2 + 964*m - 820 = 0? -41, -1, 2/3, 2, 5 Factor -u**4 + 1725*u**3 + 3453*u**2 + 1727*u. -u*(u - 1727)*(u + 1)**2 Let -2*s**4 + 108*s**3 + 336*s**2 + 340*s + 114 = 0. Calculate s. -1, 57 What is m in -2*m**4 + 656550*m**3 - 53882566082*m**2 + 53880596442*m + 107763819076 = 0? -1, 2, 164137 Suppose 4*j**5 + 1232*j**4 + 1140*j**3 - 26840*j**2 + 53936*j - 29472 = 0. Calculate j. -307, -6, 1, 2 Factor 2*l**3/9 - 4488*l**2 + 67993198*l/3 - 407797636/9. 2*(l - 10097)**2*(l - 2)/9 Factor -b**3/4 + 8*b**2 + 989*b/4 - 255. -(b - 51)*(b - 1)*(b + 20)/4 Find j such that -2*j**3/5 - 502*j**2/5 - 588*j = 0. -245, -6, 0 What is v in 5*v**3 + 40*v**2 - 2565*v = 0? -27, 0, 19 Determine j, given that -2*j**5 + 284*j**4 - 7330*j**3 + 49216*j**2 + 56832*j = 0. -1, 0, 16, 111 Determine p so that 2*p**5/7 - 524*p**4/7 - 4320*p**3/7 = 0. -8, 0, 270 Suppose 3*s**4/4 - 45*s**3/4 - 99*s**2/4 - 51*s/4 = 0. What is s? -1, 0, 17 Let -286*f**5 + 21592*f**4 - 422312*f**3 + 519956*f**2 + 1210566*f + 246420 = 0. Calculate f. -1, -3/13, 30/11, 37 Factor -3*q**3 - 1665*q**2 - 230202*q. -3*q*(q + 261)*(q + 294) Suppose 76*s**2 + 848*s + 1392 = 0. What is s? -174/19, -2 Factor 3*x**3/2 - 2133*x**2/2 + 7407*x - 10560. 3*(x - 704)*(x - 5)*(x - 2)/2 Factor -4*w**4 + 1096*w**3 - 1084*w**2 - 2184*w. -4*w*(w - 273)*(w - 2)*(w + 1) Solve -3*p**4 + 8460*p**3 - 109563*p**2 + 252630*p = 0 for p. 0, 3, 10, 2807 Suppose -j**3/2 + 77*j**2 - 4625*j/2 + 8050 = 0. What is j? 4, 35, 115 Determine j, given that -4*j**4 + 40*j**3 + 92*j**2 - 528*j = 0. -4, 0, 3, 11 Find p, given that 50*p**5 + 5485*p**4 + 145538*p**3 - 45476*p**2 - 34888*p + 11776 = 0. -64, -46, -1/2, 2/5 Determine j so that -j**4/7 + 12993*j**3/7 - 64948*j**2/7 + 14844*j - 51952/7 = 0. 1, 2, 12988 Let p**3/3 - 5561*p**2/3 - 7419*p - 5565 = 0. What is p? -3, -1, 5565 Solve -4*k**3 - 757*k**2 - 1685*k - 374 = 0 for k. -187, -2, -1/4 Let 10*l**3/9 + 6458726*l**2/9 - 861164*l/3 = 0. Calculate l. -645873, 0, 2/5 Determine o so that -80*o**3 + 20948*o**2 + 24224*o - 7364 = 0. -7/5, 1/4, 263 Find h such that 2*h**2/9 - 518176*h/9 + 33563295872/9 = 0. 129544 Factor -2*z**4/3 - 5084*z**3 + 15256*z**2 - 45772*z/3 + 5086. -2*(z - 1)**3*(z + 7629)/3 Factor -2*n**2 + 57*n/5 + 18/5. -(n - 6)*(10*n + 3)/5 Find j such that -j**4 - 942*j**3 - 214141*j**2 + 3644232*j - 6424348 = 0. -479, 2, 14 Let -3*x**2 - 363*x - 3630 = 0. Calculate x. -110, -11 Factor 3*y**2/2 + 39993*y/2 - 120033. 3*(y - 6)*(y + 13337)/2 Solve 21*s**3 - 2166*s**2 - 8679*s + 1284 = 0. -4, 1/7, 107 Factor -j**4 + 660*j**3 - 1931*j**2 - 26280*j. -j*(j - 657)*(j - 8)*(j + 5) What is b in -17*b**5/4 + 1869*b**4/2 - 111555*b**3/2 + 484300*b**2 - 4454625*b/4 - 275625/2 = 0? -2/17, 5, 105 Let 2*v**5/3 - 652*v**4 + 474296*v**3/3 + 646156*v**2 - 2410810*v/3 = 0. Calculate v. -5, 0, 1, 491 Factor -5085*d**2/7 + 185124*d/7 - 156. -3*(5*d - 182)*(339*d - 2)/7 Suppose -c**5/3 + 686*c**4/3 - 1814*c**3 + 12220*c**2/3 - 10853*c/3 + 1130 = 0. What is c? 1, 5, 678 Find d such that -2*d**2 - 1688*d + 34560 = 0. -864, 20 Determine r so that 2*r**3/5 - 7034*r**2/5 + 6181126*r/5 + 6188162/5 = 0. -1, 1759 Factor -5*x**4 - 235*x**3 - 3690*x**2 - 21060*x - 29160. -5*(x + 2)*(x + 9)*(x + 18)**2 Determine m, given that m**2/4 - 81*m - 2997/4 = 0. -9, 333 Factor 278*s**5 - 526*s**4 + 218*s**3 + 30*s**2. 2*s**2*(s - 1)**2*(139*s + 15) Determine c, given that -5*c**5/2 - 2555*c**4 + 348215*c**3 - 11696690*c**2 + 65381935*c/2 - 21339935 = 0. -1147, 1, 2, 61 Suppose 12*c**5 + 5224*c**4 + 221124*c**3 + 287304*c**2 + 71392*c = 0. Calculate c. -388, -46, -1, -1/3, 0 Factor -3*o**3 - 126*o**2 - 243*o - 120. -3*(o + 1)**2*(o + 40) Determine s, given that 2*s**5 + 28*s**4 - 552*s**3 - 28*s**2 + 550*s = 0. -25, -1, 0, 1, 11 Factor h**4/5 - 22948*h**3/5 + 35154678*h**2 - 451195609972*h/5 + 13818828401689/5. (h - 7639)**3*(h - 31)/5 Determine p, given that -4*p**2 - 25240*p - 39816100 = 0. -3155 Suppose 2*o**3 - 22*o**2 - 11320*o + 45504 = 0. What is o? -72, 4, 79 Factor 34899*y**4/2 - 34900*y**3 + 34903*y**2/2 - y. y*(y - 1)**2*(34899*y - 2)/2 Factor -b**2/5 - 44083*b. -b*(b + 220415)/5 Solve -15*x**4 - 3819*x**3 + 5394*x**2 + 4608*x = 0 for x. -256, -3/5, 0, 2 Factor 1389*a**3 - 2780*a**2 + 1393*a - 2. (a - 1)**2*(1389*a - 2) Suppose -5*g**5 - 565*g**4 - 14540*g**3 + 16260*g**2 + 30240*g = 0. What is g? -72, -42, -1, 0, 2 Factor -2*s**2 - 2117064*s - 560244997512. -2*(s + 529266)**2 What is n in 2*n**5 + 402*n**4/7 + 3020*n**3/7 + 840*n**2 + 2096*n/7 - 1152/7 = 0? -18, -8, -2, -1, 2/7 Suppose 3*x**3 + 7305*x**2 - 7326*x - 43848 = 0. What is x? -2436, -2, 3 Factor -4*j**2 - 10172*j - 10168. -4*(j + 1)*(j + 2542) Factor p**2/6 + 34*p + 384. (p + 12)*(p + 192)/6 Find p, given that -5*p**4 - 4490*p**3 - 8940*p**2 + 17960*p + 35840 = 0. -896, -2, 2 Suppose -2*v**2/7 + 6282*v/7 + 6284/7 = 0. What is v? -1, 3142 Find i such that i**2/3 + 14766*i + 163526067 = 0. -22149 Factor 4*z**3/5 - 572*z**2/5 + 4904*z/5 - 2144. 4*(z - 134)*(z - 5)*(z - 4)/5 Determine b so that -2*b**3/5 + 3024*b**2/5 + 6062*b/5 - 9084/5 = 0. -3, 1, 1514 Factor 2*l**5/17 - 82*l**4/17 + 1056*l**3/17 - 1728*l**2/17 - 55296*l/17 + 290304/17. 2*(l - 12)**4*(l + 7)/17 Let -3*n**4 + 6*n**3 + 2799*n**2 - 8370*n = 0. Calculate n. -31, 0, 3, 30 Factor -g**3 - 7913*g**2 - 15401656*g + 1001961072. -(g - 63)*(g + 3988)**2 Determine o, given that 2*o**2/19 + 72814*o/19 = 0. -36407, 0 Factor -5*p**2 - 123240*p - 759404880. -5*(p + 12324)**2 Suppose 3*o**3/5 + 21237*o**2 = 0. Calculate o. -35395, 0 Factor z**2 - 249*z - 5380. (z - 269)*(z + 20) Factor -20*y**2 - 692596*y/3 - 184688/3. -4*(y + 11543)*(15*y + 4)/3 What is z in -z**3/4 - 5681*z**2/2 = 0? -11362, 0 Factor 5*h**4 - 3810*h**3 + 1069785*h**2 - 131056380*h + 5916112020. 5*(h - 234)**2*(h - 147)**2 Factor -2*s**2/5 - 1956132*s/5 - 478306550178/5. -2*(s + 489033)**2/5 Factor 2*r**4 + 18*r**3 - 402*r**2 - 418*r. 2*r*(r - 11)*(r + 1)*(r + 19) Factor 5*s**4 + 4300*s**3 + 1124310*s**2 + 85918300*s + 1996201805. 5*(s + 53)**2*(s + 377)**2 Factor -1097*g**2 + 14287*g - 338. -(g - 13)*(1097*g - 26) Determine m so that m**2 + 89703*m = 0. -89703, 0 Factor -204*k**4 - 56*k**3. -4*k**3*(51*k + 14) Find r, given that 5*r**2 + 3333360*r + 555564444480 = 0. -333336 Factor 2*c**4/5 + 132*c**3/5 + 1246*c**2/5 + 396*c. 2*c*(c + 2)*(c + 9)*(c + 55)/5 Solve 3*o**2/10 + 4012*o/5 + 8021/10 = 0 for o. -8021/3, -1 Find i such that 4*i**2 + 22092*i = 0. -5523, 0 Let 2*w**3/9 + 100*w**2/3 + 11134*w/9 + 1204 = 0. What is w? -86, -63, -1 Let l**2/4 - 25288*l - 101153/4 = 0. Calculate l. -1, 101153 Solve -6*z**5/5 + 242*z**4 - 12202*z**3/5 - 4202*z**2/5 = 0. -1/3, 0, 11, 191 Factor -5*b**3 - 155*b**2 + 870*b - 1080. -5*(b - 3)*(b - 2)*(b + 36) Factor 2*h**3/13 + 158*h**2/13 - 840*h/13. 2*h*(h - 5)*(h + 84)/13 Solve 15*p**5 - 18020*p**4 + 4882955*p**3 + 327019310*p**2 - 1138890560*p + 343114080 = 0. -58, 1/3, 3, 628 What is k in -k**5 + 36*k**4 - 44*k**3 - 1674*k**2 - 4563*k - 2970 = 0? -3, -1, 10, 33 Suppose 5*f**5 - 90*f**4 - 1815*f**3 + 280*f**2 + 5220*f - 3600 = 0. What is f? -12, -2, 1, 30 What is q in 23*q**4/5 + 1428*q**3/5 + 793*q**2 - 13236*q/5 - 236 = 0? -59, -5, -2/23, 2 What is k in -k**3 + 4577*k**2 + 175370*k = 0? -38, 0, 4615 Let -k**5/4 + 377*k**4/2 - 163581*k**3/4 + 2021851*k**2 - 28761769*k = 0. Calculate k. 0, 31, 346 Let 2*u**4 + 2*u**3 - 30816*u**2 - 1482624*u = 0. What is u? -72, 0, 143 Find z such that -3*z**4/2 + 165*z**3/2 + 1467*z**2/2 + 2835*z/2 = 0. -5, -3, 0, 63 Solve 56*z**5 + 220*z**4 - 2592*z**3 - 40*z**2 + 2536*z - 180 = 0 for z. -9, -1, 1/14, 1, 5 Factor 4*v**2 - 964848*v + 58183228944. 4*(v - 120606)**2 Determine a, given that 5*a**2 - 490*a - 17640 = 0. -28, 126 Find k such that -4*k**4/5 + 112*k**3/5 - 164*k**2/5 - 119
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {u: 14, q: 4}. What is prob of picking 3 u? 91/204 Four letters picked without replacement from iutztihq. Give prob of picking 1 q, 1 i, 1 h, and 1 u. 1/35 Four letters picked without replacement from sacncsssaaf. Give prob of picking 2 a, 1 f, and 1 c. 1/55 Three letters picked without replacement from {k: 6, o: 3, a: 4}. What is prob of picking 3 k? 10/143 What is prob of picking 2 a when two letters picked without replacement from aaahhhhahahaagg? 1/5 Three letters picked without replacement from qseqcsdccsdcdsqdqcsd. What is prob of picking 3 c? 1/114 Calculate prob of picking 1 q, 1 e, and 1 s when three letters picked without replacement from {q: 1, s: 1, t: 1, z: 1, g: 1, e: 2}. 2/35 Calculate prob of picking 2 z when two letters picked without replacement from {m: 1, z: 3}. 1/2 What is prob of picking 1 j, 1 r, and 1 s when three letters picked without replacement from {j: 1, f: 2, k: 6, i: 6, s: 3, r: 2}? 1/190 Two letters picked without replacement from jcbcjjkbby. Give prob of picking 1 b and 1 k. 1/15 Three letters picked without replacement from mkmyy. What is prob of picking 2 m and 1 y? 1/5 Calculate prob of picking 1 j and 1 z when two letters picked without replacement from uzj. 1/3 Calculate prob of picking 1 w, 1 o, and 1 a when three letters picked without replacement from {a: 1, e: 1, o: 1, w: 6}. 1/14 What is prob of picking 3 f and 1 k when four letters picked without replacement from {z: 2, k: 2, f: 5}? 10/63 Calculate prob of picking 2 e when two letters picked without replacement from jceewwceewjee. 5/26 What is prob of picking 1 f and 1 r when two letters picked without replacement from {d: 5, f: 2, r: 4}? 8/55 Three letters picked without replacement from rrahaaaancacrrarb. Give prob of picking 3 r. 1/68 What is prob of picking 2 h when two letters picked without replacement from hlrhrrllhlrdl? 1/26 Four letters picked without replacement from xfrrhxyhp. What is prob of picking 1 x, 2 r, and 1 h? 2/63 Three letters picked without replacement from ibhhbbb. Give prob of picking 2 b and 1 i. 6/35 Four letters picked without replacement from {w: 4, d: 1, b: 3}. What is prob of picking 4 w? 1/70 What is prob of picking 1 u and 1 h when two letters picked without replacement from {g: 1, x: 2, a: 2, u: 4, h: 4, v: 1}? 16/91 What is prob of picking 2 e when two letters picked without replacement from wexwewwxwx? 1/45 Calculate prob of picking 2 k and 2 p when four letters picked without replacement from ppkpkkppkkkkpkkkkk. 11/34 Calculate prob of picking 1 z, 1 e, and 1 t when three letters picked without replacement from zeezehzhzt. 1/10 Three letters picked without replacement from kkkkkkkkkiikkkkkkkkk. What is prob of picking 3 k? 68/95 Four letters picked without replacement from {n: 2, i: 3, w: 2, z: 5}. Give prob of picking 2 n and 2 i. 1/165 Calculate prob of picking 1 l and 1 n when two letters picked without replacement from wddyylwywnaydw. 1/91 What is prob of picking 4 a when four letters picked without replacement from uaauaaaauauuuu? 5/143 Three letters picked without replacement from dimirkdmsisidkmkk. Give prob of picking 1 m, 1 k, and 1 i. 6/85 Two letters picked without replacement from {v: 4, c: 8, n: 8}. Give prob of picking 1 c and 1 v. 16/95 Three letters picked without replacement from {s: 1, m: 2, b: 4, y: 2, t: 1}. What is prob of picking 1 s and 2 y? 1/120 What is prob of picking 2 i, 1 m, and 1 x when four letters picked without replacement from {h: 5, i: 13, m: 1, x: 1}? 26/1615 Two letters picked without replacement from splipppspq. What is prob of picking 1 i and 1 l? 1/45 Calculate prob of picking 1 z, 1 t, and 2 e when four letters picked without replacement from evetzeteztt. 8/55 Three letters picked without replacement from {q: 2, h: 4, k: 4, g: 1, b: 6, n: 1}. What is prob of picking 1 b and 2 h? 3/68 Calculate prob of picking 1 f, 1 k, 1 v, and 1 z when four letters picked without replacement from uzppvuupkkvfuf. 8/1001 Two letters picked without replacement from mavvam. Give prob of picking 1 a and 1 v. 4/15 Calculate prob of picking 2 b, 1 f, and 1 y when four letters picked without replacement from {y: 6, f: 4, w: 2, b: 3}. 24/455 Three letters picked without replacement from mmlgk. What is prob of picking 1 l, 1 g, and 1 m? 1/5 What is prob of picking 1 s and 1 p when two letters picked without replacement from {h: 1, p: 1, s: 1, r: 1, k: 1}? 1/10 Two letters picked without replacement from {h: 1, g: 2, u: 1, o: 1, p: 1, d: 2}. What is prob of picking 1 o and 1 d? 1/14 Two letters picked without replacement from {x: 5, g: 2}. What is prob of picking 2 g? 1/21 Calculate prob of picking 2 l when two letters picked without replacement from {o: 1, t: 1, s: 1, r: 2, l: 2, q: 2}. 1/36 Four letters picked without replacement from gzzezgzglgzjerrzee. What is prob of picking 1 r, 2 e, and 1 j? 1/255 Three letters picked without replacement from {m: 2, l: 2}. Give prob of picking 2 m and 1 l. 1/2 Four letters picked without replacement from {e: 2, i: 9}. Give prob of picking 2 i and 2 e. 6/55 Calculate prob of picking 2 t and 1 w when three letters picked without replacement from yvltvtttzwltwlll. 1/28 Calculate prob of picking 3 x and 1 n when four letters picked without replacement from {g: 7, x: 7, n: 4}. 7/153 Calculate prob of picking 1 i and 1 c when two letters picked without replacement from iibcibibiijj. 1/11 Calculate prob of picking 1 c, 1 o, and 1 r when three letters picked without replacement from {o: 1, r: 2, c: 3, y: 1}. 6/35 Two letters picked without replacement from {m: 1, d: 12, q: 2, l: 1, c: 1}. Give prob of picking 1 l and 1 c. 1/136 Calculate prob of picking 1 d and 1 n when two letters picked without replacement from {n: 2, w: 2, d: 8}. 8/33 What is prob of picking 1 w and 1 s when two letters picked without replacement from ddqdqdqwsqwqs? 2/39 What is prob of picking 3 t when three letters picked without replacement from mtmtmt? 1/20 Calculate prob of picking 2 n when two letters picked without replacement from nnna. 1/2 What is prob of picking 4 q when four letters picked without replacement from {q: 7}? 1 Four letters picked without replacement from xpppplhxplphpxpxx. What is prob of picking 1 l, 1 h, and 2 p? 4/85 Two letters picked without replacement from {l: 3, o: 4}. What is prob of picking 1 o and 1 l? 4/7 Calculate prob of picking 2 d when two letters picked without replacement from dbbddbbdbbdbbb. 10/91 What is prob of picking 1 e, 1 t, and 2 a when four letters picked without replacement from haepahttphphaa? 12/1001 Two letters picked without replacement from {l: 9, b: 2}. What is prob of picking 2 l? 36/55 Three letters picked without replacement from {o: 8, v: 5, p: 1, h: 2}. What is prob of picking 2 v and 1 o? 1/7 What is prob of picking 2 a and 2 p when four letters picked without replacement from papaaafp? 9/35 What is prob of picking 1 w and 1 z when two letters picked without replacement from yxqwyzqzwqwwlywzqxyw? 9/95 Three letters picked without replacement from {b: 1, k: 2, e: 10, i: 1, s: 1, z: 3}. What is prob of picking 1 e, 1 i, and 1 k? 5/204 Two letters picked without replacement from {u: 1, z: 1, w: 2}. What is prob of picking 1 w and 1 z? 1/3 Three letters picked without replacement from ddssddvdwldsydwddd. What is prob of picking 1 d and 2 s? 5/136 Three letters picked without replacement from mwoimmwwriowqomioo. What is prob of picking 2 m and 1 r? 1/136 Two letters picked without replacement from hbefbh. Give prob of picking 1 e and 1 f. 1/15 Calculate prob of picking 2 o when two letters picked without replacement from ooooooo. 1 Three letters picked without replacement from {e: 11, r: 2}. Give prob of picking 3 e. 15/26 Calculate prob of picking 2 h when two letters picked without replacement from {h: 17, c: 1}. 8/9 Calculate prob of picking 1 c and 1 d when two letters picked without replacement from dcywxedxxxey. 1/33 Calculate prob of picking 2 h and 1 e when three letters picked without replacement from heqehq. 1/10 Three letters picked without replacement from {k: 4, l: 3, e: 2}. What is prob of picking 1 k and 2 l? 1/7 Four letters picked without replacement from ffffff. What is prob
{ "pile_set_name": "DM Mathematics" }
j(v) be the third derivative of -v**5/5 - v**2. What is z(j(u))? 24*u**2 Let c(b) = -58*b**2. Let r(i) = 6*i - 13*i + 2*i + 6*i. Give r(c(m)). -58*m**2 Let k(n) = 30*n**2 - 2*n. Let r(m) = -15 + m + 4 + 11. What is k(r(h))? 30*h**2 - 2*h Let t(c) = c. Let g(i) = 4 - 1308*i - 4*i**2 + 1308*i. Calculate g(t(o)). -4*o**2 + 4 Let y(o) = 3 - 3 + o. Let z(c) = 8*c - 5. Suppose -2*u = -15*u - 52. Let w(v) = 7*v - 4. Let i(b) = u*z(b) + 5*w(b). What is i(y(g))? 3*g Let m(u) = 2*u**2 - 45. Let p(o) = 2. Let j(i) = -m(i) - 2*p(i). Let w(c) = c**2. Calculate w(j(l)). 4*l**4 - 164*l**2 + 1681 Let q(a) = -2*a**2 - 51. Let x(t) be the first derivative of -2*t**3/3 + 95. Give q(x(v)). -8*v**4 - 51 Let k(l) = 12*l. Let x be (-3)/(15/(-2))*-10. Let j(o) = 13*o - 19 - 14 + 43 - 19. Let n(v) = 3*v - 2. Let f(a) = x*j(a) + 18*n(a). Determine f(k(t)). 24*t Let g(t) = -t**2 + 2*t - 2. Let n(d) = -2*d**2 + 5*d - 5. Let y(i) = -5*g(i) + 2*n(i). Let a(l) = 1 - 1 - 7*l. Determine y(a(f)). 49*f**2 Let n(f) = -12*f**2. Let a(m) = 3701*m**2 + m - 2. What is a(n(v))? 532944*v**4 - 12*v**2 - 2 Let c(z) = 14*z + 15*z + 10*z - 52*z. Let u(k) = -k**2. Calculate u(c(a)). -169*a**2 Let x(n) = -n**2 + 70*n. Let q(s) = -1620*s. Give q(x(u)). 1620*u**2 - 113400*u Let b(a) = 8*a. Let w(m) = 4*m - 14. Let d be w(4). Let s(x) = -113 + 113 - x**d. Give s(b(t)). -64*t**2 Let r(x) = 498*x. Let d(l) = l**2 - 2. Let c(h) = -4*h**2 + 9. Let u(k) = -4*c(k) - 18*d(k). Determine u(r(m)). -496008*m**2 Let b(y) = 939*y. Let f(i) = 642*i**2. Calculate b(f(a)). 602838*a**2 Let m(c) = -3. Let i(z) = -49*z**2 + 12. Let u(v) = -i(v) - 4*m(v). Let j(x) = -x**2. Determine j(u(k)). -2401*k**4 Let d(s) = -238614*s. Let g(b) = 2*b. Determine d(g(k)). -477228*k Let p(w) = 12*w**2. Let y(c) = -7178*c**2. What is y(p(t))? -1033632*t**4 Suppose 2*a = -10, -5*q - 3*a = -8*a - 35. Let y(j) = 4*j**2 + 8*j**q - 15*j**2 + 4*j**2. Let i(d) = 3*d + 4 - 2 - 2. Give i(y(r)). 3*r**2 Let s(f) = 3*f + 1. Let m(w) = 5*w + 3. Let n(c) = m(c) - 3*s(c). Let q(i) = 69*i. Determine q(n(d)). -276*d Let v(y) = 5*y - 9. Let u(m) = m - 2. Let c(a) = 18*u(a) - 4*v(a). Let z(n) = 4*n. Let o(d) = -d**2 + 18*d. Let w(q) = -4*o(q) + 18*z(q). Determine w(c(f)). 16*f**2 Let a(v) = -10*v**2 + 32. Let f(k) = 5*k**2 - 17. Let w(r) = -3*a(r) - 5*f(r). Let d(z) = z**2. Determine d(w(m)). 25*m**4 - 110*m**2 + 121 Let u(c) = 2*c. Let n(o) be the first derivative of -22*o**3/3 - 10. Determine n(u(p)). -88*p**2 Let w(o) = -9*o + 2. Let t(f) = 4144*f**2. Determine w(t(n)). -37296*n**2 + 2 Let j(k) = 2*k - 51. Let i(a) = -2655*a**2. Give j(i(v)). -5310*v**2 - 51 Let d(z) = 4*z - 3. Let n(s) = 1. Let k(m) = 2*d(m) + 6*n(m). Let g(c) = c**3 + 8*c**2 - 10*c. Let y be g(-9). Let b(l) = -9 - 2*l**2 + y. What is b(k(h))? -128*h**2 Let s(w) = 4*w**2 - w + 2. Let t(f) = -15*f**2 + 4*f - 11. Let k(y) = -4*s(y) - t(y). Let z(j) = -2*j. Calculate z(k(v)). 2*v**2 - 6 Let y(i) = 516233*i. Let k(l) = 2*l. Calculate y(k(j)). 1032466*j Let d(c) = -31*c - 16. Let t(m) = 41*m + 15. Let w(x) = 4*d(x) + 3*t(x). Let h(p) = p**2. Give w(h(i)). -i**2 - 19 Suppose -r = r. Let l(q) = r*q - 4*q + 4*q + q. Let u(x) = 27*x**2 - 4 + 4 - 34*x**2. What is l(u(y))? -7*y**2 Let x(k) = -7*k**2. Let n(j) be the third derivative of j**5/120 + 10*j**3/3 + 11*j**2. Let o(i) be the first derivative of n(i). Determine o(x(u)). -7*u**2 Let w(l) = 2*l**2. Let b(y) = -21*y**2 - 47228*y. Give b(w(h)). -84*h**4 - 94456*h**2 Let h(u) = u. Let j(c) = 696*c - 1413*c + 682*c. Determine h(j(k)). -35*k Let r(v) = 11*v**2. Let h(u) = 4*u**2. Let q(s) = -8*h(s) + 3*r(s). Let g(o) be the first derivative of -2*o**3/3 - 2. Calculate q(g(t)). 4*t**4 Let g(s) = 2*s - 3. Let l(z) = z - 1. Let q(v) = g(v) - 3*l(v). Let y(a) = a**2 - 9*a + 10. Let k be y(8). Let n(w) = -21*w + 3*w**k + 21*w. Give q(n(d)). -3*d**2 Let z(w) = 2*w. Let v(p) = -153*p**2 + 15*p + 3. Determine z(v(m)). -306*m**2 + 30*m + 6 Let d(i) = 3*i + 1. Let v(m) = -8*m + 7. Let f(u) = -7*d(u) + v(u). Let j(b) = -7*b. Give j(f(a)). 203*a Let f(k) = k + 4*k - 5*k - k. Let v(o) = -o**2 + 2*o + 1. Let w(a) = 16*a**2 - 28*a - 14. Let h(x) = 56*v(x) + 4*w(x). Calculate f(h(l)). -8*l**2 Let t(q) = -17*q + 5. Let v(k) = 1. Let l(b) = -t(b) + 5*v(b). Let i(n) = n + 2. Let g(p) = -p - 3. Let d(c) = 2*g(c) + 3*i(c). Give d(l(o)). 17*o Let b(f) = -3*f. Let m(j) = -j. Let u(o) = -2*o**2 + 6*o + 6. Let k be u(3). Let g(i) = k*b(i) - 17*m(i). Let n(c) = c - c + c**2. Calculate g(n(l)). -l**2 Let l(i) = -3663*i**2. Let q(y) = 37*y. What is q(l(u))? -135531*u**2 Let o(d) = 4*d. Suppose -a + 9 = 3*b + 1, b + a = 4. Let f = -4 + 6. Let s(k) = -3*k**b + 0*k**f + k**2. Give o(s(l)). -8*l**2 Let y(b) = -b - 6. Let z(f) be the third derivative of f**5/30 + 212*f**2. What is z(y(k))? 2*k**2 + 24*k + 72 Let c(q) be the second derivative of -8/3*q**4 + 0 - q + 0*q**3 + 0*q**2. Let r(a) = 2*a. What is r(c(s))? -64*s**2 Let u(w) = 8*w + 640. Let k(j) = -6*j**2. Determine u(k(n)). -48*n**2 + 640 Let c(h) = -12*h**2 + 76. Let p(j) = 13*j. Calculate p(c(x)). -156*x**2 + 988 Let n(a) = -a**2. Let x(p) = 1768631*p. Give x(n(s)). -1768631*s**2 Let m(h) = -200*h. Let i(z) = -6*z**2 + 11 - 21 + 9*z**2 + 10. Give m(i(c)). -600*c**2 Let n(l) be the first derivative of 2*l**3/3 + 402. Let m(w) = -2*w - 34. Determine m(n(o)). -4*o**2 - 34 Suppose -2*m + w = 3*m - 35, 2*w + 7 = m. Let r = 45 + -30. Let a(h) = h + m + 8 - r. Let l(p) = -p**2. Determine a(l(g)). -g**2 Let m(i) = -2*i**2. Let b = -48 + 50. Let q(v) = 5*v - 6*v - 15*v**b + v. Determine q(m(z)). -60*z**4 Let g(z) = z + 1 - 2*z + 0. Let h be (2 - -1 - 1)/(-3 + 2). Let j(w) = -5*w + 3. Let s(f) = h*j(f) + 6*g(f). Let y(r) = -r. Determine s(y(c)). -4*c Let v(q) = -q. Let z(g) be the first derivative of 208*g**2 - 148. Determine v(z(r)). -416*r Let y(h) = 4*h. Let s(p) = -457625*p**2. Determine s(y(w)). -7322000*w**2 Let q(h) = 3*h + 4*h**2 - 5*h + 3*h - 3*h**2. Let p(k) = -3*k**2 - 6*k. Let b(d) = p(d) + 6*q(d). Let t(g) = -2*g**2 + 0*g + 0*g. What is b(t(l))? 12*l**4 Suppose -3*h = 2*h - 10. Let u(q) = -2*q**2 + 3*q**2 - 2*q**h. Let s(a) be the first derivative of 5*a**2 + 108. What is u(s(t))? -100*t**2 Let o(f) = 13448*f. Let w(d) = -2*d**2. What is w(o(s))? -361697408*s**2 Let j(u) = -u. Let x(i) be the third derivative of -7*i**4/24 + i**3/2 - 2*i**2 - 10*i. What is j(x(t))? 7*t - 3 Let p(n) = -n**3 + 3*n**2 + 2*n. Let w be p(-1). Let d(s) be the second derivative of 0 + w*s + 1/4*s**4 + 0*s**2 + 0*s**3. Let k(t) = t**2. Determine d(k(b)). 3*b**4 Let n(x) = 3*x**2 - 44939. Let q(b) = -2*b**2. Calculate n(q(o)). 12*o**4 - 44939 Let j(b) = 40*b**2. Let i(h) be the first derivative of -8*h**2 + 859. What is i(j(z))? -640*z**2 Let h(j) = -4*j. Let r(m) = m**2 + 10924*m + 1. Give r(h(p)). 16*p**2 - 43696*p + 1 Let b(j) = -9*j. Let h be 4 + 3 + (-5 - 0). Let s(v) = -51 + 22 - h*v**2 + 29. Determine s(b(r)). -162*r**2 Let p be (-16)/(-56) - 12/(-7). Let x(z) = -9*z**2 + 15*z**2 - 5*z**p. Let g(d) = -6*d + 5*d + 10*d. Give x(g(c)). 81*c**2 Let i(k) = -21*k**2 - 15. Let t(u) = -3*u**2 - 2. Let w be (-1 + -3)/(0 - -2). Let q(r) = w*i(r) + 15*t(r). Let g(p) = -19*p. Determine q(g(f)). -1083*f**2 Let z(p) be the second derivative of p**7/1260 + p**4/6 - 3*p. Let i(c) be the third derivative of z(c). Let k(d) = -2*d - 5*d - 5*d + 4*d. Give k(i(n)). -16*n**2 Let h(q) = -28361*q. Let d(x) = 2*x. Determine h(d(z)). -56722*z Let u be -2*5/(10/(-47)). Let w(k) be the first derivative of -50 + 3*k + u + 5*k**2 - 3*k. Let j(v) = -2*v. Determine w(j(g)). -20*g Let t(m) = m. Let q(w) be the third derivative of -16*w**4/3 - 26*w**2 - w. What is t(q(n))? -128*n Let v(k) = 1 - 25*k - 20*k + 12*k + 4*k. Let h(g) = 3*g**2. Calculate h(v(j)). 2523*j**2 - 174*j + 3 Let k(q) = -305 + 305 - q. Let h(y) = -3*y**2 - 5*y - 5. Let w(r) = -r - 1. Let v(d) = -h(d) + 5*w(d). Determine v(k(m)). 3*m**2 Let j be ((-60)/(-132))/(2/22). Let c(p) be the third derivative of 0*p**3 + 0*p + 1/30*p**j + 7*p**2 + 0*p**4 + 0. Let r(d) = -7*d**2. Calculate r(c(b)). -28*b**4 Let m(n) be the second derivative of 11*n**4/12 - 66*n. Let b(y) = -18*y**2. Determine b(m(x)). -2178*x**4 Let h be (33/15 - 1)/(21/70). Let d(q) = 4*q**2 + h*q**2 - q**2 + 0*q**2. Let k(z)
{ "pile_set_name": "DM Mathematics" }
the cube root of 638547739 to the nearest integer? 861 What is the tenth root of 1492213805 to the nearest integer? 8 What is 7159608572 to the power of 1/2, to the nearest integer? 84614 What is the ninth root of 161258202 to the nearest integer? 8 What is the third root of 2331978313 to the nearest integer? 1326 What is the cube root of 78917598 to the nearest integer? 429 What is 82693947 to the power of 1/2, to the nearest integer? 9094 What is 5530163 to the power of 1/3, to the nearest integer? 177 What is the third root of 6526535526 to the nearest integer? 1869 What is 42436522 to the power of 1/2, to the nearest integer? 6514 What is 94349140 to the power of 1/8, to the nearest integer? 10 What is 593112826 to the power of 1/6, to the nearest integer? 29 What is 2744124971 to the power of 1/3, to the nearest integer? 1400 What is the ninth root of 20985270 to the nearest integer? 7 What is the square root of 36091434 to the nearest integer? 6008 What is the third root of 159688263 to the nearest integer? 543 What is the seventh root of 67945414 to the nearest integer? 13 What is 109535549 to the power of 1/2, to the nearest integer? 10466 What is the square root of 238050032 to the nearest integer? 15429 What is the third root of 2684850621 to the nearest integer? 1390 What is the fourth root of 3325700884 to the nearest integer? 240 What is 796234067 to the power of 1/8, to the nearest integer? 13 What is the fourth root of 124667333 to the nearest integer? 106 What is 66594734 to the power of 1/2, to the nearest integer? 8161 What is 2829738519 to the power of 1/3, to the nearest integer? 1414 What is the eighth root of 33096220 to the nearest integer? 9 What is the ninth root of 98271313 to the nearest integer? 8 What is 53588361 to the power of 1/2, to the nearest integer? 7320 What is the eighth root of 65464935 to the nearest integer? 9 What is the cube root of 51665407 to the nearest integer? 372 What is 110415607 to the power of 1/9, to the nearest integer? 8 What is the square root of 5400721 to the nearest integer? 2324 What is 42003418 to the power of 1/10, to the nearest integer? 6 What is the square root of 1195528660 to the nearest integer? 34576 What is the cube root of 34270222 to the nearest integer? 325 What is 6283356772 to the power of 1/2, to the nearest integer? 79268 What is the third root of 410436260 to the nearest integer? 743 What is the ninth root of 164217833 to the nearest integer? 8 What is 2674515452 to the power of 1/2, to the nearest integer? 51716 What is the cube root of 7555527 to the nearest integer? 196 What is the cube root of 299639677 to the nearest integer? 669 What is the fourth root of 439838068 to the nearest integer? 145 What is the square root of 36792900 to the nearest integer? 6066 What is 23080875 to the power of 1/3, to the nearest integer? 285 What is the square root of 2682902503 to the nearest integer? 51797 What is the third root of 62445843 to the nearest integer? 397 What is 1546320321 to the power of 1/3, to the nearest integer? 1156 What is the square root of 340071309 to the nearest integer? 18441 What is the third root of 153405221 to the nearest integer? 535 What is 36596769 to the power of 1/3, to the nearest integer? 332 What is 8660863636 to the power of 1/2, to the nearest integer? 93064 What is the eighth root of 46153636 to the nearest integer? 9 What is the square root of 173207536 to the nearest integer? 13161 What is 1976751843 to the power of 1/2, to the nearest integer? 44461 What is the third root of 555109232 to the nearest integer? 822 What is 1119119534 to the power of 1/4, to the nearest integer? 183 What is the square root of 92372531 to the nearest integer? 9611 What is the square root of 77236795 to the nearest integer? 8788 What is 84026004 to the power of 1/3, to the nearest integer? 438 What is the square root of 134114470 to the nearest integer? 11581 What is 89904861 to the power of 1/2, to the nearest integer? 9482 What is the third root of 12527361 to the nearest integer? 232 What is the cube root of 1129156029 to the nearest integer? 1041 What is 133799218 to the power of 1/10, to the nearest integer? 6 What is the square root of 9927087 to the nearest integer? 3151 What is the square root of 552210593 to the nearest integer? 23499 What is 5430177533 to the power of 1/9, to the nearest integer? 12 What is the square root of 83724217 to the nearest integer? 9150 What is the cube root of 91218728 to the nearest integer? 450 What is 53623702 to the power of 1/3, to the nearest integer? 377 What is 57705722 to the power of 1/2, to the nearest integer? 7596 What is 258116164 to the power of 1/7, to the nearest integer? 16 What is the third root of 131779872 to the nearest integer? 509 What is the seventh root of 659680475 to the nearest integer? 18 What is 61763562 to the power of 1/3, to the nearest integer? 395 What is the third root of 391985134 to the nearest integer? 732 What is the sixth root of 282177149 to the nearest integer? 26 What is 53347579 to the power of 1/10, to the nearest integer? 6 What is 83561792 to the power of 1/3, to the nearest integer? 437 What is the square root of 96604723 to the nearest integer? 9829 What is 280901511 to the power of 1/5, to the nearest integer? 49 What is 303057778 to the power of 1/4, to the nearest integer? 132 What is 1367360170 to the power of 1/2, to the nearest integer? 36978 What is the square root of 392673928 to the nearest integer? 19816 What is the cube root of 316993175 to the nearest integer? 682 What is the fourth root of 2571680013 to the nearest integer? 225 What is 806312874 to the power of 1/3, to the nearest integer? 931 What is 40318972 to the power of 1/5, to the nearest integer? 33 What is 3761971699 to the power of 1/2, to the nearest integer? 61335 What is the cube root of 613303874 to the nearest integer? 850 What is 889935312 to the power of 1/9, to the nearest integer? 10 What is 484654095 to the power of 1/6, to the nearest integer? 28 What is 8394392 to the power of 1/5, to the nearest integer? 24 What is 311154914 to the power of 1/8, to the nearest integer? 12 What is the square root of 229384646 to the nearest integer? 15145 What is the eighth root of 8840810121 to the nearest integer? 18 What is the eighth root of 825727583 to the nearest integer? 13 What is the square root of 453933388 to the nearest integer? 21306 What is 1784762296 to the power of 1/2, to the nearest integer? 42246 What is 31593280 to the power of 1/3, to the nearest integer? 316 What is 108593585 to the power of 1/2, to the nearest integer? 10421 What is 4064363021 to the power of 1/2, to the nearest integer? 63752 What is the cube root of 109404207 to the nearest integer? 478 What is 127650020 to the power of 1/4, to the nearest integer? 106 What is the square root of 5533979 to the nearest integer? 2352 What is 56155267 to the power of 1/3, to the nearest integer? 383 What is the square root of 212237627 to the nearest integer? 14568 What is 2484244813 to the power of 1/2, to the nearest integer? 49842 What is the eighth root of 87837082 to the nearest integer? 10 What is the square root of 339889204 to the nearest integer? 18436 What is the tenth root of 338966797 to the nearest integer? 7 What is the sixth root of 338811954 to the nearest integer? 26 What is the sixth root of 1502479308 to the nearest integer? 34 What is 763650068 to the power of 1/2, to the nearest integer? 27634 What is 127143360 to the power of 1/2, to the nearest integer? 11276 What is 638988780 to the power of 1/8, to the nearest integer? 13 What is 995683599 to the power of 1/2, to the nearest integer? 31554 What is the cube root of 4323554596 to the nearest integer? 1629 What is 127620035 to the power of 1/2, to the nearest integer? 11297 What is the fourth root of 141005056 to the nearest integer? 109 What is 32318616 to the power of 1/3, to the nearest integer? 319 What is 215919175 to the power of 1/2, to the nearest integer? 14694 What is the square root of 80800756 to the nearest integer? 8989 What is the cube root of 5212420 to the nearest integer? 173 What is the cube root of 2508071795 to the nearest integer?
{ "pile_set_name": "DM Mathematics" }
t(304) - sqrt(304)) + 1))**2 + -1 + 2. 50 Simplify 2*((-3 + sqrt(304) + 3)**2 + sqrt(76)/sqrt(4)*-5 + 5). -10*sqrt(19) + 618 Simplify ((-4*sqrt(396)*-4)/sqrt(9) + -3)**2. -192*sqrt(11) + 11273 Simplify (2*(3 + 1 + sqrt(2700) + (sqrt(2700) - (sqrt(2700) + 1 + -2) - sqrt(2700))))**2. 100 Simplify (((sqrt(468)*-1)/sqrt(12))/((sqrt(6)*-3)/sqrt(2)))**2. 13/9 Simplify ((sqrt(126)/(sqrt(54)/sqrt(6)))/sqrt(2))**2 - ((-2 + sqrt(28)/sqrt(4))**2 - (-2*sqrt(7) + 4)**2). -12*sqrt(7) + 40 Simplify ((sqrt(20)/(1*sqrt(16)) + sqrt(50)/sqrt(160)*3)*-6)**2. 1125/4 Simplify (3*sqrt(48) - ((sqrt(99)*1)/sqrt(11))/sqrt(3))**2 + 3. 366 Simplify (-4 + -1 + 2 + (sqrt(847) - (0 + sqrt(847))) + sqrt(847) + sqrt(847))**2*6*6. -4752*sqrt(7) + 122292 Simplify (2 + (-3 + -2 + sqrt(147) - (sqrt(147) + (2 + sqrt(147))*-4)) + -4)**2. 56*sqrt(3) + 2353 Simplify (5*(sqrt(931) + 0)*-1 + -4)**2. 280*sqrt(19) + 23291 Simplify 6*(-4 + sqrt(1539) + 0 + sqrt(1539)) + (sqrt(76))**2*6 + (sqrt(171)*-3)/sqrt(9). 432 + 105*sqrt(19) Simplify sqrt(10)/(sqrt(5) - (3*sqrt(25) - sqrt(25))/sqrt(5)) + sqrt(8)/(sqrt(400)*-3 - sqrt(4)). -32*sqrt(2)/31 Simplify ((sqrt(216) + (sqrt(216) - -4*sqrt(216)))*4 - sqrt(216))/(-6*(sqrt(84) + 2*sqrt(84))/sqrt(7)). -23*sqrt(2)/6 Simplify (1*sqrt(68) + -1 - (sqrt(68) + 0)*-4)**2 + 2 + (sqrt(68) - (sqrt(68) + (sqrt(68)*1)**2)) + sqrt(68) + (-2 + 2*sqrt(68))**2. -34*sqrt(17) + 1911 Simplify (sqrt(12) - sqrt(12)*-2*2)/(sqrt(294) + (-2*sqrt(294) - sqrt(294))). -5*sqrt(2)/14 Simplify -4*2*(0 + sqrt(39)/sqrt(3) + -1 + sqrt(13))**2*3. -1272 + 96*sqrt(13) Simplify ((-2 + sqrt(1331))**2 - sqrt(11) - ((sqrt(11) - (-1 + 1 + sqrt(11)))**2 - sqrt(11))) + (sqrt(1584)*-2 - ((1*sqrt(11) + sqrt(11))**2*-5 - sqrt(11))). -67*sqrt(11) + 1555 Simplify -2*(-2*sqrt(208) + -3 - (3 + sqrt(1573))*3). 24 + 82*sqrt(13) Simplify (sqrt(273)/(sqrt(21)/sqrt(3)) - (sqrt(117)*2 - sqrt(117))/sqrt(3))/((sqrt(27) - sqrt(216)/sqrt(128))/sqrt(9)). 0 Simplify 0 + ((sqrt(704) - ((sqrt(704) - (sqrt(704) + -1) - sqrt(704)) + sqrt(704)))*-6 - sqrt(704) - (sqrt(704) + sqrt(704)*2*5))**2. -1728*sqrt(11) + 228132 Simplify -5*(5 + (1*sqrt(77)*5)/(sqrt(7) + sqrt(112)/sqrt(4))). -25*sqrt(11)/3 - 25 Simplify -5 + 4*sqrt(1331) - (sqrt(539) - -1*2*sqrt(539)). -5 + 23*sqrt(11) Simplify (sqrt(13) - (sqrt(13) + 4)*-2 - 4*sqrt(65)/sqrt(5))**2*5. -80*sqrt(13) + 385 Simplify (-1*((sqrt(133) - sqrt(133)*-3)*4 - sqrt(133)))/(sqrt(847)*1*2). -15*sqrt(19)/22 Simplify ((sqrt(13) - (5 + sqrt(13) + -1)) + (sqrt(13)*-1 + -2 - sqrt(13)) - (-3 + (3 + sqrt(52) - sqrt(1872)*-2)))**2. 336*sqrt(13) + 10228 Simplify 6*2*(4 + sqrt(2299) + -5). -12 + 132*sqrt(19) Simplify (3*(sqrt(132) + (sqrt(132) - -1*sqrt(132))))/((-2*sqrt(84))/sqrt(7)) + -3. -9*sqrt(11)/2 - 3 Simplify 3 + ((sqrt(5) + 1 + sqrt(5) - sqrt(5) - sqrt(5)) + -5 - (sqrt(5) - 4*sqrt(80))) + 2 + -4. -3 + 15*sqrt(5) Simplify (6*4*(sqrt(117) - (sqrt(117) + 0) - sqrt(117)) - (2 + 2 + -1*sqrt(117)))**2. 552*sqrt(13) + 61909 Simplify ((sqrt(504)/sqrt(200))/(sqrt(1296) - (sqrt(1296) - 1*sqrt(1296)) - sqrt(9))*-3*6)**2. 2268/3025 Simplify 1*(-1 + sqrt(147))*5 - (-1 + -1 + 1*sqrt(27))**2. -36 + 47*sqrt(3) Simplify (sqrt(117) + sqrt(117) + (sqrt(117) - ((6*2*sqrt(117) - sqrt(117)) + sqrt(117))) - sqrt(117)*-2*-1)/(sqrt(99)/(sqrt(1584)*-2)). 264*sqrt(13) Simplify (4 + -3 + (sqrt(440)/(2*sqrt(8)))/(sqrt(11) + (-2*sqrt(99))/sqrt(9)))**2. -sqrt(5) + 9/4 Simplify (sqrt(220)*-6)/((sqrt(99) + sqrt(11))*1 + sqrt(11) + sqrt(11)). -2*sqrt(5) Simplify (sqrt(84) - -3*3*sqrt(84))/(sqrt(432) + (2*sqrt(432) - sqrt(432)) - sqrt(432)) + 0. 5*sqrt(7)/3 Simplify ((sqrt(132) - sqrt(132)*1)/sqrt(12) + sqrt(11))*-2 + (-5*(2 + sqrt(539)))**2. 698*sqrt(11) + 13575 Simplify -1 + 5*sqrt(108)*-3*-1 + -3. -4 + 90*sqrt(3) Simplify (-3 + (-1 + sqrt(539))**2 + 3*(-2 + 1 + sqrt(11))**2)*4. -80*sqrt(11) + 2292 Simplify (-3*(-2 + -5 + -1 + sqrt(1539))*6*-2)**2. -186624*sqrt(19) + 2077488 Simplify ((sqrt(360)*-3)/sqrt(12))/((4*sqrt(100))/sqrt(10)). -3*sqrt(3)/4 Simplify sqrt(30)/(sqrt(54)/(sqrt(36)/sqrt(4) + sqrt(9))) + 5*(sqrt(45) + -4) + 0. -20 + 17*sqrt(5) Simplify (sqrt(66)*-5*1)/(sqrt(324)/sqrt(6)). -5*sqrt(11)/3 Simplify -6*(3 + 3*sqrt(65)/sqrt(5)) + 4. -18*sqrt(13) - 14 Simplify (0 + sqrt(320) + sqrt(320))**2*3 - (sqrt(5) + 3 + sqrt(5)*-2 + sqrt(5) + -5). 3842 Simplify -6*(sqrt(52)*-2*6)/(sqrt(20)/sqrt(125))*-6. -2160*sqrt(13) Simplify -1*((sqrt(10) - 2*sqrt(10))*2)/(sqrt(45)/sqrt(9)*-2). -sqrt(2) Simplify (sqrt(1053) + -2 + sqrt(1053))**2 + sqrt(13) + 0 + 2 + -4. -71*sqrt(13) + 4214 Simplify 2*((5*-1*sqrt(224))/sqrt(4))/(-6*-1*sqrt(800)). -sqrt(7)/6 Simplify 3 + (sqrt(21)/((sqrt(35) + sqrt(105)/sqrt(3))/sqrt(5)) + 3*(5*sqrt(12)/sqrt(4) + sqrt(3)))**2. 4119/4 Simplify ((-2*sqrt(504) - sqrt(504))/sqrt(8))/((sqrt(45)/sqrt(5)*5 - sqrt(9)) + sqrt(9)) + 3. -3*sqrt(7)/5 + 3 Simplify (((-3 + sqrt(171))*5 - sqrt(171)) + 0 + sqrt(57)/(sqrt(18)/sqrt(6)))**2*-5. -17180 + 1950*sqrt(19) Simplify ((-3*sqrt(112)*1)/sqrt(7))/(1*1*sqrt(8)*-2). 3*sqrt(2)/2 Simplify (sqrt(52)/(sqrt(196) + -3*sqrt(196) - sqrt(4)) - sqrt(117)/(sqrt(36)/sqrt(36)))*1. -46*sqrt(13)/15 Simplify (-2*(sqrt(175) + sqrt(175)*2 + sqrt(175) + sqrt(175)) + sqrt(175)*2 + 3 + sqrt(175) + (sqrt(175) + ((0 + sqrt(175))*1 - sqrt(175)))*-1)**2. -240*sqrt(7) + 11209 Simplify 4*-4*5*(sqrt(800) + sqrt(50)). -2000*sqrt(2) Simplify (((sqrt(171) - (sqrt(171) - 1*sqrt(171)*-1)) + sqrt(171) - sqrt(171)) + (sqrt(171) + sqrt(171)*-1)*2)/(sqrt(144)*4 - sqrt(576)). -sqrt(19)/8 Simplify 4 + -3*(sqrt(99)*-1*-6)**2 + 5. -10683 Simplify (0 + (1*sqrt(1573)*5 - -4*(sqrt(1573) - (sqrt(1573) - (sqrt(1573) + -1)))))**2. -792*sqrt(13) + 127429 Simplify (-2*-1*sqrt(77))/(-1*sqrt(396))*4*2. -8*sqrt(7)/3 Simplify 6*6*(1*(sqrt(468) - 3*sqrt(468)) + (sqrt(468) - (sqrt(468) + 0 + sqrt(468)))*-5)**2. 151632 Simplify (5*(5*(-2*sqrt(80))/(sqrt(360) + sqrt(360) + -1*sqrt(360)) + 4))**2. -2000*sqrt(2)/3 + 8600/9 Simplify (-6*(sqrt(19) + sqrt(38)/sqrt(2) + sqrt(19))**2 - (1*sqrt(19) + -1)) + (5*sqrt(228)*-2)/(sqrt(12) + -1*sqrt(768)). -1025 + 3*sqrt(19)/7 Simplify 1 + -4 + (((sqrt(176) + 0)*6)**2 + sqrt(176))*-6. -38019 - 24*sqrt(11) Simplify (sqrt(170) - -5*(sqrt(170)*-1 + sqrt(170) + sqrt(170)))/(sqrt(80)/(sqrt(8)*2)) - (sqrt(17)*1 + -1 - sqrt(102)/sqrt(150))**2. -297/25 + 68*sqrt(17)/5 Simplify (-6*((sqrt(208) + (sqrt(208) - (1 + sqrt(208) - sqrt(208))))*1 - (sqrt(208) + (sqrt(208)*1 + sqrt(208) - sqrt(208)) + -2))*6)**2. 1296 Simplify (sqrt(264)/sqrt(392))/(sqrt(66)/(sqrt(6)*4)). 4*sqrt(3)/7 Simplify 0 + ((-5*sqrt(52)/sqrt(2))/((sqrt(2)*2 + sqrt(2))*-6))**2. 325/324 Simplify ((sqrt(114)*-2)/sqrt(6) + -1)**2 + sqrt(19) + sqrt(19) + -1 + 4 + (sqrt(114)/sqrt(54))**2. 6*sqrt(19) + 739/9 Simplify (3 + (3 + sqrt(208) + -1 + sqrt(208) - (sqrt(208) + sqrt(208)*-2 + 4)))**2. 24*sqrt(13) + 1873 Simplify -4*(-3*(sqrt(300) + 1) - (sqrt(300) - (1 + sqrt(300))*3))*3. 120*sqrt(3) Simplify 2*4*((sqrt(152) + sqrt(152) + -3*(sqrt(152) + (sqrt(152) - sqrt(152)*2 - sqrt(152))) + sqrt(152) - sqrt(152))/(sqrt(8) + (sqrt(64)*2)/sqrt(8)))**2. 3800/9 Simplify (-3 + (-1 + sqrt(700) - (sqrt(70)/sqrt(5) + sqrt(14))/sqrt(2))*-4)**2. -64*sqrt(7) + 7169 Simplify ((-1 + sqrt(17) - sqrt(17)) + -2 - (sqrt(612) + -1))**2 - (-4 + sqrt(153) + -3). 21*sqrt(17) + 623 Simplify (0 + sqrt(275) + sqrt(275) + (sqrt(275) - (sqrt(275) + 2)) + -4 + 3)**2*-5. -5545 + 300*sqrt(11) Simplify (2*(sqrt(99) + 1 + sqrt(99))*-4 - -2*((1*sqrt(99) - sqrt(99))**2 + -5)) + -4. -48*sqrt(11) - 22 Simplify ((sqrt(1088) + -2 + -2)**2 + sqrt(1088) + 4 + (sqrt(1088) + -1)**2)*1. -72*sqrt(17) + 2197 Simplify ((-3*sqrt(42)*2)/(sqrt(1350)/sqrt(9)))**2. 252/25 Simplify (-2 + 6*(5 + sqrt(1584) + -4 + -1))**2. -288*sqrt(11) + 57028 Simplify (sqrt(1573)*3)**2*-1 - (sqrt(325) + (1*sqrt(325) + -3)**2). -14491 + 25*sqrt(13) Simplify ((3*(sqrt(1573) - -1*sqrt(1573)))**2 + -3 + -4)*2. 113242 Simplify sqrt(432) + -5 + sqrt(432)*2 - sqrt(30)/(sqrt(10)*-1)*2. -5 + 38*sqrt(3) Simplify (3*1*sqrt(243) + 3)**2 + -5 + -4. 162*sqrt(3) + 2187 Simplify ((sqrt(204) - (sqrt(204) + sqrt(204)*1))*-3 - sqrt(204))/sqrt(12) - ((sqrt(17) - (1*sqrt(17) + 0))**2 + 1). -1 + 2*sqrt(17) Simplify sqrt(6)/(sqrt(21)/(sqrt(28)/sqrt(4))) - ((6*-2*sqrt(2))**2 + sqrt(2) + (4*sqrt(32))**2 + sqrt(2)
{ "pile_set_name": "DM Mathematics" }
ked without replacement from zizziiiiiz? 8/15 Two letters picked without replacement from vdjdgggjvfjg. Give prob of picking 2 v. 1/66 Four letters picked without replacement from rkuiqrv. Give prob of picking 1 v, 1 u, 1 i, and 1 r. 2/35 Calculate prob of picking 1 p and 3 e when four letters picked without replacement from {p: 1, h: 1, e: 4, m: 5}. 2/165 What is prob of picking 4 l when four letters picked without replacement from {s: 1, f: 2, l: 4, w: 3, v: 3, x: 2}? 1/1365 Four letters picked without replacement from {p: 7, n: 1}. What is prob of picking 1 n and 3 p? 1/2 Two letters picked without replacement from {q: 1, k: 2, n: 1, a: 1}. Give prob of picking 1 n and 1 a. 1/10 Two letters picked without replacement from kkkaeeakkajkekaaj. What is prob of picking 2 e? 3/136 Two letters picked without replacement from hyv. Give prob of picking 1 y and 1 v. 1/3 Four letters picked without replacement from uefneefe. Give prob of picking 3 e and 1 f. 4/35 Two letters picked without replacement from zzzppzk. Give prob of picking 2 z. 2/7 What is prob of picking 2 z and 2 o when four letters picked without replacement from {z: 11, o: 3}? 15/91 Two letters picked without replacement from epippeppjppipppiiepp. What is prob of picking 1 e and 1 i? 6/95 Four letters picked without replacement from nzzzzzzwynaaaww. What is prob of picking 1 w, 1 y, and 2 a? 3/455 Three letters picked without replacement from {z: 6, p: 2}. Give prob of picking 3 z. 5/14 What is prob of picking 1 c, 1 u, and 2 p when four letters picked without replacement from ukckcckukpppukukkuc? 5/323 Four letters picked without replacement from fbfbfffb. What is prob of picking 2 b and 2 f? 3/7 Three letters picked without replacement from {s: 2, p: 1, w: 2, c: 2, i: 4, y: 3}. Give prob of picking 1 i and 2 y. 3/91 Two letters picked without replacement from {r: 2, l: 3, h: 10, d: 1}. Give prob of picking 2 r. 1/120 Two letters picked without replacement from airinr. What is prob of picking 1 n and 1 i? 2/15 Two letters picked without replacement from {i: 3, p: 8}. What is prob of picking 2 i? 3/55 Two letters picked without replacement from {q: 3, t: 5, a: 1, f: 1}. What is prob of picking 1 t and 1 a? 1/9 Three letters picked without replacement from fctnfc. Give prob of picking 1 n, 1 t, and 1 c. 1/10 Four letters picked without replacement from oocsfosbo. What is prob of picking 1 f and 3 o? 2/63 Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {z: 4, v: 3}. 4/7 Calculate prob of picking 2 s when two letters picked without replacement from sbsbsb. 1/5 Three letters picked without replacement from {u: 1, z: 1, w: 5, c: 3}. Give prob of picking 2 w and 1 z. 1/12 Three letters picked without replacement from cbkovkv. What is prob of picking 1 v, 1 c, and 1 b? 2/35 Calculate prob of picking 4 c when four letters picked without replacement from {c: 12, g: 1}. 9/13 What is prob of picking 1 j, 2 p, and 1 c when four letters picked without replacement from jpmprpccjcppbbmbppbb? 42/1615 Two letters picked without replacement from zzilpzlizipzzzpzzi. Give prob of picking 1 z and 1 p. 3/17 What is prob of picking 3 e when three letters picked without replacement from aaeaaeeeaaeaaaee? 1/16 Two letters picked without replacement from luuhuhhuuuuuhhuuhhlu. What is prob of picking 2 l? 1/190 Calculate prob of picking 1 g, 1 v, and 1 t when three letters picked without replacement from gzzqqqqzqqqztqtqv. 1/340 Three letters picked without replacement from cckck. Give prob of picking 2 c and 1 k. 3/5 Two letters picked without replacement from jxpnjpjjjjjjxxnjn. What is prob of picking 1 n and 1 j? 27/136 What is prob of picking 1 r and 3 a when four letters picked without replacement from {f: 6, d: 4, r: 1, v: 2, a: 3}? 1/1820 Calculate prob of picking 1 v, 1 l, and 1 j when three letters picked without replacement from {j: 2, q: 1, l: 2, v: 3, u: 1, e: 3}. 3/55 What is prob of picking 1 c, 1 q, 1 w, and 1 t when four letters picked without replacement from tccccwccvqbwccvccwb? 5/646 Four letters picked without replacement from vwvqwwwwq. Give prob of picking 1 q, 2 v, and 1 w. 5/63 Three letters picked without replacement from wwdwdwwdwdwddwwwwdw. Give prob of picking 1 d and 2 w. 154/323 Calculate prob of picking 2 o and 1 j when three letters picked without replacement from {y: 1, w: 1, j: 1, o: 2}. 1/10 Calculate prob of picking 2 g and 1 h when three letters picked without replacement from {g: 8, b: 6, h: 1}. 4/65 What is prob of picking 4 m when four letters picked without replacement from emmeeleelmm? 1/330 Calculate prob of picking 2 w and 2 n when four letters picked without replacement from nnnnnwnnnwnw. 12/55 Calculate prob of picking 1 p, 1 r, and 1 c when three letters picked without replacement from cpccrrrcpcr. 8/33 Calculate prob of picking 4 j when four letters picked without replacement from jjjjjj. 1 What is prob of picking 4 k when four letters picked without replacement from {k: 6}? 1 Calculate prob of picking 1 i and 3 g when four letters picked without replacement from iigiiigiiggiii. 40/1001 Four letters picked without replacement from {w: 7, p: 8, f: 5}. Give prob of picking 3 p and 1 w. 392/4845 Three letters picked without replacement from {m: 3, y: 2, o: 2, k: 4, h: 1, q: 6}. What is prob of picking 1 o, 1 y, and 1 k? 1/51 What is prob of picking 1 d and 1 x when two letters picked without replacement from {q: 6, k: 3, n: 1, w: 1, x: 3, d: 4}? 4/51 What is prob of picking 2 r when two letters picked without replacement from {f: 1, r: 3}? 1/2 What is prob of picking 1 l and 3 k when four letters picked without replacement from {y: 1, k: 4, d: 3, l: 5}? 4/143 What is prob of picking 1 h and 3 r when four letters picked without replacement from grhaarranrr? 1/33 Calculate prob of picking 3 a and 1 m when four letters picked without replacement from macuuc. 0 Four letters picked without replacement from ooooooovoovoooooooo. What is prob of picking 4 o? 35/57 Four letters picked without replacement from {x: 2, r: 3, l: 2, n: 4}. Give prob of picking 4 n. 1/330 Three letters picked without replacement from lclclillvillcliillil. Give prob of picking 2 l and 1 v. 11/228 Calculate prob of picking 3 i when three letters picked without replacement from {i: 4, d: 5, s: 6}. 4/455 What is prob of picking 1 b, 1 e, and 1 g when three letters picked without replacement from {d: 1, g: 1, j: 1, e: 1, b: 1}? 1/10 Three letters picked without replacement from {n: 5, p: 2}. Give prob of picking 1 n and 2 p. 1/7 Calculate prob of picking 3 x when three letters picked without replacement from jzjxzcxxzxxxxjzxczj. 56/969 Calculate prob of picking 1 e and 3 i when four letters picked without replacement from cjjcjjjcieii. 1/495 What is prob of picking 1 u and 2 s when three letters picked without replacement from lklslkuskflxsssfklks? 1/76 Calculate prob of picking 1 f and 1 y when two letters picked without replacement from yfmvv. 1/10 Three letters picked without replacement from iiiiiiiiiiiiioiiioii. What is prob of picking 3 i? 68/95 What is prob of picking 2 r when two letters picked without replacement from {u: 2, n: 1, p: 1, r: 2, c: 1}? 1/21 What is prob of picking 2 s when two letters picked without replacement from gsgggggggggggggggsg? 1/171 Two letters picked without replacement from jffgjzge. Give prob of picking 1 e and 1 f. 1/14 Two letters picked without replacement from {g: 3, k: 4, j: 3, a: 1, x: 7}. Give prob of picking 2 j. 1/51 Four letters picked without replacement from djwrhhwghhwrrdr. Give prob of picking 3 h and 1 d. 8/1365 Calculate prob of picking 1 i and 2 e when three letters picked without replacement from {e: 4, i: 2}. 3/5 Two letters picked without replacement from oolj. Give prob of picking 1 o and 1 j. 1/3 Calculate prob of picking 1 p, 1 j, and 1 u when three letters picked without replacement from rjukfkp. 1/35 Two letters picked without replacement from ryyyyrrrfxy. What is prob of picking 1 f and 1 x? 1/55 Three letters picked without replacement from {o: 1, m: 6, j: 4}. Give prob of picking 1 m, 1 j, and 1 o. 8/55 Three letters picked without replacement from {n: 1, m: 2, b: 2, l: 1}. Give prob of picking 1
{ "pile_set_name": "DM Mathematics" }
c Let k = -50.83 + 51.33. Which is the nearest to -2/539? (a) -2 (b) 0.3 (c) k b Let k = 3.3 - 6.3. Let t = 0.91 - -11.49. Let y = -12 + t. What is the closest to 3 in y, k, -0.1? y Let z = -194.5 + 147. Let v = z - -48. Let n be 1 - (-91)/13*(-2)/10. What is the nearest to n in -5, 2/5, v? 2/5 Let i = 0.229 - 0.449. Let j = -0.12 - i. Which is the closest to 0.06? (a) j (b) -3 (c) -2 (d) 4 a Let y = -3 - -7. Let v be 2821/8060*(-10)/(-14). What is the closest to v in y, -0.02, -2/3, -2/11? -0.02 Let r = -25 - -24.98. Let q = -0.12 - r. Let z = 0.466 - 1.466. What is the closest to q in 2, 1/2, z? 1/2 Let x = -110/13 - -20842/2457. Let j = 59/189 + x. Let h = 0.1 - 0.2. Which is the closest to j? (a) 2/3 (b) -0.3 (c) h a Suppose -5*i - 1 = 19. Let f be (-2)/i*4/11. Let x be -7 + 7 + (-2)/3. Which is the nearest to 1? (a) x (b) -3 (c) f c Let j = -17983/4 + 4496. Which is the closest to 4/19? (a) 5 (b) -1/10 (c) j c Let d be (0/(0 + -1))/(-1). Suppose -17*t = -13*t - m - 27, 2*m = -14. Let z = -16 - -27. Which is the closest to z? (a) d (b) -5 (c) t c Let l be (-1)/(((-92)/(-115))/(3 - (-68)/(-20))). What is the nearest to -16 in 2/9, -0.04, l, -0.2? -0.2 Let b = -8732 + 17465/2. What is the nearest to 120 in b, 3, -1/3, -2? 3 Suppose 3*w = -w + 5*a - 29, -w + 14 = 3*a. Let i = 3.18 - -2.92. Let d = i - 5.9. What is the closest to w in -0.04, 2, d? -0.04 Let f = -7319.1 + 7320. What is the nearest to f in 3, -2/3, -12? -2/3 Let g = 5032 - 5026. Suppose -5*n + 70 = -4*t, -n + 0*n + 14 = -4*t. Suppose -n = g*h - 2. What is the nearest to h in -0.5, 0.3, 3? -0.5 Let p(s) = s**2 - 5*s - 28. Let o be p(7). Let m be o/(-3) - (-35 + 39). Let q = 2.1 + -1.7. Which is the closest to m? (a) 0 (b) 1 (c) q c Let v be (18/15)/6 + (-5977)/(-315). Let g = v - 170/9. Which is the nearest to 1? (a) -1 (b) 3/4 (c) g b Let s be 12/2 + -1 - (36 + -33). Let o(l) = 5*l - 7. Let h be o(s). What is the nearest to -3/7 in 4, h, 2/5? 2/5 Let a = -22/15 + 4/5. Let i(c) = c**2 + 12*c + 9. Let z be i(-11). Let v be -3 + (-146)/(-30) + z. What is the closest to 2 in -1/6, v, a? v Let n = 11304 + -56522/5. Let p = 0 - -3. Which is the nearest to n? (a) 2/11 (b) p (c) -4 a Let g = -1069.9 - -1072.9. Which is the nearest to 3? (a) 214 (b) g (c) -1 b Let w = -11889 - -59443/5. Which is the nearest to w? (a) -0.8 (b) 8 (c) -2/9 c Let u = -9 + 8. Let o = 1.1 + u. Let t be ((-1)/(-26))/(20/60). Which is the nearest to o? (a) -0.2 (b) t (c) -0.5 b Let o = 12284 - 12287. Which is the nearest to -1? (a) -42 (b) -1 (c) o (d) 2/19 b Let f = 2872 - 2878. What is the closest to f in -2/137, -0.1, 5, -1/3? -1/3 Let z = -3 + 3. Suppose z = 3*u + 2*u + 25. Let k = 8174 - 8174. What is the nearest to -1 in u, 1/2, k? k Let z = -2375 - -2376. What is the closest to -2/9 in z, 0.6, -3, -12? 0.6 Let j = 0.828 - 0.528. Let g = -145 - -434/3. Let y = 0.03 - -3.97. Which is the closest to -1? (a) y (b) j (c) g c Let o = 739 + -740. Let m be (-8)/4*-4*4. Let k = m - 32. Which is the closest to 0.1? (a) k (b) o (c) -2 a Let w = -0.034 + -45.966. Let l = -42 - w. Let u = 686.8 - 687. What is the closest to -7 in l, 2, u? u Let m be 8/(-22) + (-49591)/1111. Let c = 17/8 + -205/104. What is the nearest to m in c, 0.1, -5, 2/5? -5 Let x = 4.34 + -251.34. Let m = x + 244. Which is the closest to 0? (a) -0.4 (b) -11 (c) m a Suppose -5*c + 2*w - 192 = 0, 2*c + 78 = -4*w - 18. Let k be c/(-32)*(-2)/(-5). What is the nearest to -6 in k, -2, 1.2? -2 Let i(h) = -4*h**2 - 32*h + h + 7*h**2 + 68 - 4*h**2. Let q be i(-33). Let r = -57 - -229/4. Which is the closest to r? (a) 2/7 (b) q (c) 4 a Let o be 1/(2/4*-2). Let z = 2586.3 - 2583.3. What is the nearest to o in 0.5, -4, z? 0.5 Let j = 3593 + -3593.1. Let h(u) = -2*u + 23. Let d be h(14). Which is the nearest to j? (a) 3 (b) -4 (c) d a Let t = -62 - -61.8. Let f = -5/8 - -1/8. Let s be ((-50)/20)/(2/4). Which is the closest to f? (a) t (b) -3/4 (c) s b Suppose 0 = -5*i + 5*t + 35, -2*i + 5*t - 8*t - 1 = 0. Suppose 4*d + 4*m - 152 = 0, d - 4*m - 46 = -m. Let l = 38 - d. What is the nearest to i in -1/3, l, 3? 3 Let o = -0.24 + -2.76. Let u = 13.334 + -13.234. Which is the closest to u? (a) 0 (b) o (c) -6 (d) 5 a Let w = 54 - 82. Let o = 14.1382 - 14.0382. Which is the closest to w? (a) -0.3 (b) o (c) -5 (d) -2 c Let y = -317/1117146 - 200570525/24127002162. Let j = 1/939 - y. What is the nearest to -0.2 in j, -1, 0.2? j Let t = 162 - 161.9414. Let r = 1.9414 + t. What is the closest to 1/4 in 1/4, 2/7, r, -0.9? 1/4 Let f = 19207 - 57619/3. What is the closest to f in -0.8, -5, -8? -0.8 Let f = 3.86428 + 0.13572. Which is the closest to 0.4? (a) f (b) 2 (c) 82 b Let r = -323/45 - -37/5. Let k = -57.825 + 31.825. What is the nearest to -1 in 4, k, -4, r? r Suppose 0 = -2*p - 103 - 63. Let o = 78 + p. What is the closest to -3 in o, 1.1, -3? -3 Let y = -31.025 - -30.525. Which is the nearest to -74/3? (a) -0.4 (b) 3/4 (c) -1 (d) y c Let l = -0.3544 - 0.0456. What is the closest to 4 in 0.02, 0.4, 1, l? 1 Let c = 0.09 - -3.91. Let s = 8 - c. Let d be (-333)/(-185)*((-7)/(-9) + -1). What is the closest to d in -0.2, -5/3, s? -0.2 Let d = -278 - -278.3. Suppose -5*t + 0*i = -3*i - 30, -28 = -t + 5*i. What is the nearest to 2 in 2, d, t? 2 Let p be (12 + -15)*(1210/462 - 2/7). What is the nearest to -2 in 21/2, p, 2? 2 Let f = -1055 + 1055.3. What is the closest to 0 in -6.26, f, -1? f Suppose 86*b = 83*b - 66. Let s be 4/b + 2*114/165. What is the closest to 0.2 in -5, 5/3, s? s Let n = 76 - 43. Let s = -25 + n. Let r = 90 + -89.8. Which is the closest to s? (a) 2/17 (b) r (c) -1/5 b Let x = 11470 + -11450. Which is the nearest to 1? (a) -4 (b) x (c) 34 a Let t(v) = 2*v**2 + 8*v + 14. Let m be t(-4). Suppose 19*n = m*n - 10, -11 = 5*o + 3*n. What is the nearest to o in 15, -4, 0.5? 0.5 Let c = 10274.4723 - 10274. Let r = -0.0277 - c. What is the nearest to -23 in -5, 1/4, r? -5 Let y(d) = 33551*d + 1. Let i be y(0). Let p = 15.6 + -14. What is the nearest to p in 3, -4, -7, i? i Let p = -59/2 - -36. Which is the nearest to 2? (a) p (b) 4 (c) -0.02 b Let k = -4.19951 - -0.19951. What is the nearest to 5 in k, 5/4, -2? 5/4 Let y = -47/56 + 9/8. Suppose 0 = -33*t + 4*t - 116. What is the closest to y in -0.3, t, 20? -0.3 Let y = 62/55 - 39071/165. Let x = 236 + y. Which is the closest to -6? (a) -0.1 (b) x (c) -3/8 c Let v = 45.39 + -49.39. What is the closest to -0.2 in 102, -1/3, v? -1/3 Suppose -u + 162 - 171 = 4*z, 0 = -z - 5*u + 31. Which is the nearest to -1? (a) z (b) -4351 (c) -2 c Let r = 985 + -981. Which is the closest to -0.2? (a) r (b) 0.5 (c) 150 b Let k = 70 - 74. Let l(m) = m**2 + m - 2. Let x be l(5). Suppose 2*i = 6*i - 4*v - x, 5*v = 4*i - 30. Which is the nearest to -2/9? (a) k (b) 2 (c) i b Suppose 2*m - 4*j = 5*m + 166, m + j + 57 = 0. Let t = m + 76. Suppose -3*l + l = -t. What is the closest to l in -4, -0.5, -4/7? -0.5 Let t = 26696 - 27913.3. Let u = t + 1114. Let g = 103 + u. Which is the nearest to 1? (a) g (b) 2/11 (c) 4 b Let k = -14632 - -14629. What is the nearest to -3 in k, 165, -0.3, 0.2? k Let g = 876.7 - 875.7. What is the nearest to g in 0.3, 1, 58, -1/6? 1 Let n = -66.8 - -66.5. Which is the nearest to 1? (a) 1/7 (b) -1/3 (c) -1/2 (d) n a Suppose -3*i - i + 3*a + 20 = 0, -2*a = -5*i + 25. Let c = 0.127 - -18.673. Let q = -19 + c. What is the closest to -0.1 in q, i, -1? q Let p = -289 + 293.44. Let f = -1.44 + p. Let a = -3.4 - -3.21. What is the nearest to 2/5 in a, f, -1/4? a Let m = -0.3 + -0.7. Let q = -1.8463 + 1.8763. Let g = 0.9 + 0.1. Which is the nearest to m? (a) q (b) 2 (c) g a Let w = 27 + -2. Let l = w + -48. Let r = 206/9 + l. Which is the nearest to 2/7? (a) -0.2 (b) r (c) 0.3 c Let k be 126/(-504)*(1 + 3/5). Let r = 115 + -131. Which is the nearest to 1? (a) -3/4 (b) r (c) k c Suppose -3*a = -2*w + 356, -2*w - 597 = 4*a - 127. Let f = a - -166. Let q be (-8)/f*(-1 - 2). What is the nearest to q in -1, -4, 0.4? 0.4 Let x = 2.96 + -178.96. Let z = x + 174. Which is the closest to 0? (a) z (b) -0.1 (c) -5/4 b Let o be (-2)/(-9) + (-750)/459. Let f = 182.7 - 182.6. Which is the closest to f? (a) 2 (b
{ "pile_set_name": "DM Mathematics" }
ed by u? 3 What is the remainder when 305 is divided by (-3520)/(-60)*3/4? 41 Suppose -p + 5 - 3 = 0. Suppose -5*l + 186 = p*t, -3*l - 4*t + 0*t = -120. Let s = -24 + l. Calculate the remainder when 69 is divided by s. 9 Suppose 3018586 + 11826988 = 388*c - 11964838. Calculate the remainder when c is divided by 33. 30 Let k(o) = -o**3 - 5*o**2 + 5*o - 3. Let u be k(-6). Let y(a) = -5*a - 107. Calculate the remainder when u/12 - (-609)/12 is divided by y(-24). 12 Let o be (-2 - (-16)/7) + (-120)/(-21). Suppose -504 = 2*z - o*z. Suppose -289 = -4*j - g - 43, 2*j = g + z. What is the remainder when j is divided by 22? 18 Suppose -4*t - 3*c - 487 = -9*t, -5*t + c + 489 = 0. Let g = t + -52. Suppose -84 = 3*d - 132. What is the remainder when g is divided by d? 14 Suppose 4*l + 26 = -2*n, -2*n - 2*n = 4*l + 32. Let j be -3 + (n - -9)*38. Suppose -9*k + 4*k + j = 0. What is the remainder when k is divided by 16? 13 Let i = 4028 - 3259. What is the remainder when i is divided by 20? 9 Let m be 22/77 + (-648)/14. Let i = m + 119. What is the remainder when i is divided by 25? 23 Let z(v) = -v. Let b be z(-3). Suppose b*l = -10 + 37. Suppose -3*t = h - l, 2*t - t - 73 = -5*h. Calculate the remainder when 25 is divided by h. 10 Suppose 0 = 2*w - 3*w - 3*k + 49, 3*w - 112 = -2*k. What is the remainder when w is divided by 19? 15 Suppose 2*i = -46*a + 48*a - 8882, -22207 = -5*a + 4*i. Calculate the remainder when a is divided by 19. 16 Let l(j) = -123*j + 644. Calculate the remainder when -1*2 + 90 + 5 - -2 is divided by l(5). 8 Let o = -9 + 18. Let s = -582 - -582. Let q(h) = h**3 - 7*h**2 + 79. Calculate the remainder when q(s) is divided by o. 7 Let p(l) = -26*l - 95. Suppose -b = 2*b - 78. What is the remainder when b is divided by p(-4)? 8 Suppose z - 5*v = 6*z - 990, 3*z - v = 570. What is the remainder when z is divided by 40? 32 Let o = -25124 - -25211. Calculate the remainder when 3996 is divided by o. 81 Let k(h) = 36*h + 1681. Calculate the remainder when k(-42) is divided by 43. 40 Let h(z) = -z**3 - 6*z**2 + 5. Let m be h(-6). Suppose 2*u + 132 = m*u. Suppose 17*l + 8 - 920 = -21*l. Calculate the remainder when u is divided by l. 20 Suppose -5*n - 2*m = -405, 2*n - 90 - 53 = 3*m. What is the remainder when 814 is divided by n? 24 Let q(u) = -u + 41. Let k be q(18). Suppose -k = -o - 3*w, 2*w - 8 = -2. What is the remainder when 38 is divided by o? 10 Let q(l) = 4*l. Let d = 75 + -63. Calculate the remainder when (-47)/(3*(-4)/d) is divided by q(3). 11 Suppose -1739*x - 146 = -1741*x + 2*g, -2*x + g + 138 = 0. Calculate the remainder when 34577 is divided by x. 62 Suppose 33 = 11*r - 11. What is the remainder when 14 is divided by ((-184)/138)/(r/(-21))? 0 Let w = 359 - 583. Let j = w + -907. Calculate the remainder when 98 is divided by j/(-45) - 2/15. 23 Suppose 0 = -68*b - 500 + 5192. Calculate the remainder when b is divided by 7. 6 Suppose 6*p - 392 = -p. Suppose -61*j + 28646 = 8394. Calculate the remainder when j is divided by p. 52 Let y = 446 + 671. Suppose 330 = 2*r + 3*i, -3*i + y = 5*r + 301. What is the remainder when r is divided by 21? 15 Let x = -183131 + 183152. Let b = -121 - -173. What is the remainder when b is divided by x? 10 Let h(o) = 78*o + 4656. Calculate the remainder when 665 is divided by h(-58). 5 Let w be 3/(-6)*11/((-44)/280). Suppose -3*g + w = -235. Let d = -63 + g. What is the remainder when d is divided by 10? 7 Let r = 3 - -4. Suppose 0 = -2995*g + 207*g + 262072. Calculate the remainder when g is divided by r. 3 Suppose -c - 29 = m, c = 4*m - 2*c + 151. Let b = m - -68. What is the remainder when b is divided by (-68)/(-85) - (344/(-10))/2? 16 Let q(y) = -1675 + y - 3*y + 1678. Calculate the remainder when q(-20) is divided by 5. 3 Suppose -2*d - 6 = 2*k, d - 5*k + 41 = 14. Suppose -12*b + 306 + 210 = 0. What is the remainder when b is divided by (-14)/49 + (-107)/d? 13 Let s = -74 + 587. Suppose -2*w = 5*x + 2*w + s, -3*x = -w + 318. Let g = x - -133. Calculate the remainder when 80 is divided by g. 24 Let w(y) = -4*y - 46. Let q be w(-11). Calculate the remainder when 336/3 - (-2 - -3) is divided by 276/10 - q/5. 27 Let y be (0 - (-4)/2)/(4/6). Suppose 5*x + 41 = m, 4*m - 87 = m + y*x. Calculate the remainder when m is divided by (5/4)/(2/8). 1 Let a(n) = -4*n**3 + n**2 - 16*n - 52. Calculate the remainder when a(-4) is divided by 48. 44 Let q be 2/4 - 647/(-2). Let t = 510 - 515. What is the remainder when 51 is divided by (t + 0)*q/(-90)? 15 Suppose k = -1 + 25. Suppose -20*f = -k*f + 464. Suppose 0 = 5*l + b - 115, -14*l + 4*b + f = -10*l. What is the remainder when 41 is divided by l? 17 Let g = 16 - -42. Let u = 171 + -116. Suppose -y + u = 3*r + y, -2*r = -4*y - 10. Calculate the remainder when g is divided by r. 13 Let m(z) = z**2 + 7*z - 30. Suppose -2*l = -6*h + 9*h - 7, -5*h = 5*l - 5. Calculate the remainder when m(h) is divided by 11. 8 Let c be (-3122)/(-70) - 1/(-5)*2. Let v = -40 + c. Let a = v + 18. What is the remainder when a is divided by 13? 10 Suppose 0 = -j + 5*f + 2, 4*f + 14 = 3*j - 3. Let q(l) = 15*l - 2 - j + 4 - 2*l. Calculate the remainder when q(4) is divided by 13. 8 Calculate the remainder when 2176 is divided by (-39)/(25*7/(-1274) - (-6)/(-78)). 174 Let x(n) = -15*n + 3. Let s be x(1). Suppose v = q - v - 13, q + 5*v - 6 = 0. What is the remainder when (-18)/s*(-76)/(-6) is divided by q? 8 Suppose 0 = 12*l - 6*l - 138. Suppose o - l = -1. Calculate the remainder when 83 is divided by o. 17 Let x(f) = -2*f**2 - 56*f + 122. Let d be x(-30). Suppose d*m = 2*i - 132, 4*m + 78 = 4*i - 3*i. What is the remainder when 120 is divided by i? 58 Let c(v) = -2*v**3 - 4*v**2 - 5*v - 19. Let n be -5 + 4/6*6. Let r(g) = -44*g**3 - 2*g - 2. What is the remainder when r(n) is divided by c(-3)? 2 Suppose 2*r = -3*r + 400. Let j(l) = -2*l**3 + 8*l**2 - 4*l + 6. What is the remainder when r is divided by j(3)? 8 Let x = -1060 + 1056. Let m = 157 - 104. What is the remainder when m is divided by -1 - x/2 - (106 - 119)? 11 Let x = 43 - -5. Suppose 42*z - 3296 + 2631 = 7*z. Calculate the remainder when x is divided by z. 10 Let p(k) = 185*k - 5. Let n be p(-1). Let z = n - -89. Let l = z + 147. Calculate the remainder when l is divided by 12. 10 Let f(a) = -a**2 - 22*a - 86. Let u be f(-16). Suppose u*c = 6*c - 2*y + 386, -4*y - 74 = -c. Calculate the remainder when c is divided by 32. 30 Suppose -5*k + 56 = -3*k. Suppose -23639 = -99*o - 208*o. Suppose -k = -3*g + o. Calculate the remainder when g is divided by 9. 8 Let j(p) = 147*p**2 - 8*p + 12. Let v be j(3). Let i = -931 + v. Let r = i - 206. Calculate the remainder when r is divided by 16. 14 Suppose -4*a + 106 = -h + 2, 45 = a - 5*h. Let q = -43 + a. Let n = q - -29. Calculate the remainder when 75 is divided by n. 9 Let x = -5618 - -6538. Calculate the remainder when x is divided by 105. 80 Suppose -6*h + 7*h - 232 = -4*c, -3*h - 2*c = -706. Calculate the remainder when h is divided by 4. 0 Let i be 2 - (-53 - (2 + 2)). Let m = -43 + i. Suppose 8*o - 125 = 611. Calculate the remainder when o is divided by m. 12 Suppose 2*m = 7*m - 50. Let n be (m/12)/((-5)/(-30)). Suppose -48 = -n*h + 12. Calculate the remainder when 22 is divided by h. 10 Let q = -39 + 228. Suppose -180 = -d + 9*d - 26*d. Calculate the remainder when q is divided by d. 9 Let l(m) = 3*m - 10. Let i be l(2). Calculate the remainder when 145 is divided by -49*i/(-12)*-3. 47 Let x = -117 - -116. Calculate the remainder when 3/(87/203*(x - -2)) is divided by 2. 1 Calculate the remainder when 2172/5 + (-42)/105 is divided by 138. 20 Let d(u) = 142*u + 22728. Let j be 40/6 + (-2)/3. Suppose j*v - 2*c - 85 = 3*v, 61 = 2*v + 3*c. What is the remainder when v is divided by d(-160)? 5 Suppose u + 38 - 20 = 5*y, 14*y = 4*u + 30. Suppose 2*d + 10 = 74. Calculate the remainder when d is divided by u. 15 Suppose -36*c + 464 = 794 - 9510. Calculate the remainder when c is divided by 121. 13 Let h = 1958 + -377. What is the remainder when h is divided by 16? 13 Let q = 31 + -17. Suppose -5*f - 17*s = -16*s - 769, -5*s + 20 = 0. Calculate the remainder when f is divided by q. 13 Calculate the remainder when 283 is divided by 708/(-12 - -24) - (1 + -1 - -7). 23 Suppose -5*o + 2723 =
{ "pile_set_name": "DM Mathematics" }
5*v**2 + 1159*v + 1443. Give r(-76). -1 Let u(m) = m**2 + 32*m + 242. Give u(-13). -5 Let f(x) = 4*x**2 + 159*x + 117. Determine f(-39). 0 Let d(u) = -9*u + 349. Determine d(15). 214 Let t(r) = 1022*r - 307616. Give t(301). 6 Let h(c) = 20*c - 151. What is h(5)? -51 Let a(r) = -27*r + 1704. What is a(64)? -24 Let w(t) = -178*t - 24746. Determine w(-139). -4 Let x(y) = 16*y - 47. Give x(8). 81 Let j(o) = -1137*o + 5677. Determine j(5). -8 Let k(i) = -3860*i + 15438. What is k(4)? -2 Let c(t) = 98*t + 60. What is c(0)? 60 Let r(z) = -z**3 - 6*z**2 + 7*z - 187. Give r(-9). -7 Let g(q) = 35*q**2 - 2105*q + 296. What is g(60)? -4 Let g(r) = 51*r**3 - 4*r**2 + 3*r + 6. Determine g(2). 404 Let y(k) = -17*k + 397. Calculate y(23). 6 Let z(g) = -g**3 + 26*g**2 + 918*g + 88. Calculate z(46). -4 Let s(m) = 24*m + 352. What is s(4)? 448 Let a(m) = -9*m**2 + 39*m + 1756. What is a(-12)? -8 Let o(d) = -d**2 + 63*d - 84. Calculate o(61). 38 Let o(v) = 2*v**3 + 34*v**2 - 73*v + 91. Calculate o(-19). 34 Let j(i) = i**3 + 22*i**2 - 278*i - 18. Calculate j(9). -9 Let b(i) = -2*i**3 + 38*i**2 - 56*i - 214. Give b(17). -10 Let w(z) = -z**3 + 8*z**2 + 32*z - 205. What is w(10)? -85 Let s(m) = m**3 - 43*m**2 + 67*m + 619. What is s(41)? 4 Let p(q) = 56*q - 5. Give p(-5). -285 Let c(i) = -76*i + 4945. Determine c(65). 5 Let x(w) = w**3 + 7*w**2 - 25*w - 53. What is x(-9)? 10 Let z(q) = -3*q**3 + 2*q**2 + 5*q - 16. Determine z(-3). 68 Let c(q) = -2*q**2 + 31*q + 1057. Calculate c(32). 1 Let m(r) = -25*r - 106. Give m(-4). -6 Let n(b) = -4*b**3 + 21*b**2 + 32*b - 52. Give n(6). 32 Let h(g) = 31*g + 160. Calculate h(-12). -212 Let a(o) = -o**2 + 101*o - 2514. Give a(45). 6 Let d(g) = g**2 - 37*g - 143. Give d(-4). 21 Let o(c) = 184*c - 20386. Determine o(111). 38 Let o(r) = -r**3 - 18*r**2 - 50*r + 12. Give o(-11). -285 Let f(u) = 20*u - 1503. Give f(76). 17 Let n(u) = -u**3 - 4*u**2 - 36*u - 359. Give n(-7). 40 Let i(s) = -s**2 - 26*s + 18. What is i(6)? -174 Let p(k) = 3*k**2 + 2*k + 58. Determine p(-6). 154 Let t(f) = -f**3 + 37*f**2 - 92*f - 100. Determine t(34). 240 Let n(p) = -3*p**2 + 199*p + 173. Determine n(68). -167 Let p(d) = -356*d**3 + d**2 + 2*d + 2. Calculate p(-1). 357 Let p(i) = i**3 + 6*i**2 - 30*i - 156. Determine p(-4). -4 Let u(p) = 272*p + 17926. Determine u(-66). -26 Let d(i) = 491*i + 21121. Determine d(-43). 8 Let u(a) = -6*a**3 - 132*a**2 + 2*a + 41. Determine u(-22). -3 Let w(i) = 30*i**2 - 50*i - 42. Give w(5). 458 Let t(m) = m**3 + 5*m**2 - 30*m - 24. Determine t(-7). 88 Let l(d) = -7*d**2 + 159*d + 200. Give l(24). -16 Let r(g) = -2*g**3 + 7*g**2 + 3*g + 5. What is r(5)? -55 Let x(n) = -11*n - 578. What is x(-52)? -6 Let y(q) = q**3 + 120*q**2 + 362*q + 1283. What is y(-117)? -4 Let f(k) = 9681*k + 19361. Determine f(-2). -1 Let c(s) = -s**2 + 22*s + 669. Determine c(39). 6 Let d(g) = -g**3 + 9*g**2 + 159*g + 420. Calculate d(-6). 6 Let u(j) = 81*j - 5180. What is u(67)? 247 Let b(t) = -216*t + 6054. What is b(28)? 6 Let k(v) = v**3 + 11*v**2 - 163*v - 1793. What is k(-11)? 0 Let o(w) = -3*w**3 - 19*w**2 + 10*w + 1. What is o(-6)? -95 Let t(z) = 12*z**2 - 257*z - 157. What is t(22)? -3 Let x(f) = -f**2 - 68*f + 1654. Calculate x(-87). 1 Let l(j) = -j**2 - 94*j - 876. Determine l(-10). -36 Let u(o) = o**2 + 669*o + 11744. Give u(-18). 26 Let u(j) = 2*j**3 + 59*j**2 + 38*j + 264. Determine u(-29). 3 Let k(p) = -86*p - 17691. Determine k(-206). 25 Let i(w) = w**2 + 32*w - 84. Determine i(-37). 101 Let t(c) = -16*c + 558. Give t(42). -114 Let d(w) = -w**2 - 12*w + 686. Calculate d(21). -7 Let v(k) = k**2 + 113*k - 8809. Determine v(-166). -11 Let k(u) = -33*u - 961. Give k(-28). -37 Let a(u) = -531*u**2 + 16*u - 17. Calculate a(1). -532 Let v(r) = 3*r**3 + 22*r**2 + 13*r + 34. Give v(-7). -8 Let a(m) = -4350*m - 78301. Determine a(-18). -1 Let t(k) = -k**3 - 55*k**2 - 21*k - 1133. What is t(-55)? 22 Let z(i) = i**2 - 41*i + 26. Calculate z(40). -14 Let k(i) = 11*i + 322. Determine k(-32). -30 Let a(y) = -2*y**3 - 88*y**2 + 18*y + 809. Determine a(-44). 17 Let p(a) = a**2 + 44*a - 5. What is p(-46)? 87 Let z(j) = -j**3 + 20*j**2 - 19*j - 150. Determine z(18). 156 Let o(g) = -12*g - 405. What is o(-41)? 87 Let q(f) = -3*f**2 - 44*f + 82. Determine q(-15). 67 Let x(c) = 37*c - 205. Calculate x(8). 91 Let g(l) = -426*l - 146547. Calculate g(-344). -3 Let m(r) = 2*r**2 + 6*r + 11. Determine m(7). 151 Let n(g) = -129*g + 1540. Calculate n(12). -8 Let v(t) = 2*t**3 - 111*t**2 - 223*t - 3881. What is v(58)? 5 Let w(j) = -33*j**3 - 7*j**2 + j + 4. Determine w(3). -947 Let m(k) = 199*k - 1132. Determine m(5). -137 Let k(r) = -r**2 - 11*r + 44. Determine k(5). -36 Let p(k) = -2*k**2 + 121*k - 554. Determine p(56). -50 Let r(h) = 16*h**2 + 75*h - 418. Give r(6). 608 Let a(n) = -n**3 - 12*n**2 + 14*n + 19. Calculate a(-11). -256 Let u(p) = 6*p**2 - 54*p + 10. What is u(10)? 70 Let w(c) = 19*c**2 + 13*c - 21. Calculate w(2). 81 Let m(g) = 16*g**3 - 83*g**2 + 6*g + 8. Determine m(5). -37 Let v(t) = -29*t - 128. Determine v(-6). 46 Let o(n) = -306*n + 3251. What is o(11)? -115 Let x(c) = 5*c - 363. Give x(9). -318 Let s(r) = -505*r**2 - 1010*r - 6. Calculate s(-2). -6 Let c(v) = -4*v**2 - 11*v + 66. Determine c(-6). -12 Let m(b) = 2*b**2 - 322*b + 8296. Determine m(32). 40 Let p(b) = -b**2 - 223*b + 23868. Calculate p(79). 10 Let t(q) = -4*q**2 - 65*q + 40. Determine t(-17). -11 Let o(n) = 2*n**3 + 41*n**2 - 137*n + 80. Give o(-23). 586 Let d(g) = -g**2 - 14*g + 74. Give d(-19). -21 Let a(v) = -v**3 - 19*v**2 - 29*v + 82. Determine a(-17). -3 Let g(w) = -w**2 + 78*w - 140. Calculate g(76). 12 Let z(y) = y**3 - 17*y**2 - 37*y + 108. What is z(19)? 127 Let x(i) = 4978*i - 139387. What is x(28)? -3 Let y(l) = -7*l**3 - 390*l**2 + 111*l + 99. What is y(-56)? 155 Let c(o) = 27*o - 757. Calculate c(48). 539 Let f(q) = -21*q + 19. Give f(14). -275 Let m(o) = -5*o - 78. Give m(22). -188 Let d(o) = -54*o - 3890. Give d(-72). -2 Let i(v) = 15*v**2 + 7*v + 14. Calculate i(-3). 128 Let r(z) = -z**2 + 5*z + 48. Give r(-7). -36 Let s(d) = d**2 + 12*d - 85. What is s(-18)? 23 Let l(y) = 5*y**2 + 779*y - 88. Determine l(-156). 68 Let t(j) = -49*j**2 - 34*j + 28. What is t(1)? -55 Let j(d) = -7*d**2 - 225*d - 1117. Give j(-26). 1 Let j(m) = -143*m + 12761. What is j(89)? 34 Let a(i) = 38*i**3 - 3*i**2 + 8*i - 13. Determine a(2). 295 Let t(p) = -p**3 + 24*p**2 - 46*p + 44. Give t(22). 0 Let b(l) = -3*l**2 + 14*l - 7. Calculate b(3). 8 Let n(a) = -a**3 + 32*a**2 - 4*a - 222. Calculate n(31). 615 Let s(a) = -a**2 + 59*a - 354. Calculate s(61). -476 Let h(c) = 3*c**2 - 70*c + 172. Calculate h(20). -28 Let k(f) = -1973*f + 3943. Give k(2). -3 Let s(r) = 8*r + 84. Determine s(10). 164 Let v(p) = 18*p**2 - 50*p + 45. What is v(3)? 57 Let a(u) = u**3 + 52*u**2 - 2460*u - 2. Give a(30). -2 Let f(u) = 872*u + 13059. Determine f(-15). -21 Let b(h) = 263*h - 191. Determine b(0). -191 Let u(l) = -l**2 - 391*l - 1926. What is u(-5)? 4 Let p(q) = -q**3 - 4*q**2 + 10*q - 4. Calculate p(0). -4 Let x(c) = c**3 + 31*c**2 + 4*c + 78. Determine x(-31). -46 Let j(t) = -t**3 - 4*t**2 + 34*t + 36. Give j(-9). 135 Let g(a) = -39*a + 3713. What is g(95)? 8 Let o(s) = s**2 - 35*s - 620. Determine o(47). -56 Let i(o) = -o**2 + 24*o + 407. What is i(43)? -410 Let t(u) = u**3 + 5*u**2 + u - 38. Determine t(-5). -43 Let f(o) = 567*o + 14216. What is f(-25)? 41 Let b(k) = -2*k**3 - 44*k**2 - 33*k + 108. Give b(-21). -81 Let j(o) = -o**2 + 47*o + 29. Determine j(48). -19 Let y(z) = -z**3 + 12*z**2 - 40*z + 20. What is y(9)? -97 Let j(r) = r**2 + 150*r - 7378. Calculate j(39). -7 Let o(g) = 2*g**2 + 40*g + 187. Determine o(-13). 5 Let o(h) = -14*h**2 - 697*h + 888. Calculate o(-51). 21 Let t(c) = -32*c + 110. Give t(3). 14 Let l(u) = 193*u**2 - 38*u + 10. Calculate l(1). 165 Let s(o) = -o**2 + 60*o - 763. Calculate s(41). 16 Let f(y) = -y**2 + 26*y - 131. Determine f(19). 2 Let d(u) = -8*u**2 - 1310*u - 2288. Give d(-162). -20 Let n(t) = -t**2 + 18*t - 14. Give n(18). -14 Let a(z) = -z**3 + 10*z**2 + 4*z - 56. Give a(7). 119 Let n(b) = -64*b + 571. Give n(17). -517 Let w(f) = -f**3 - 43*f**2 + 85*f - 220. Give w(-45). 5 Let h(a) = -859*a + 3. Calculate h(0). 3 Let q(s) = -s**3 + 15*s**2 - 30*s + 20. What
{ "pile_set_name": "DM Mathematics" }
1518. Let w be p(-8). Which is smaller: 182/17 or w? w Let r = 15 + 6. Suppose -2*d + r = 2*f - 7, -5*d - 3*f = -72. Suppose p + p + 3*v + d = 0, -3*p - 5*v = 23. Is p greater than or equal to -5? False Suppose 2019 - 2019 = -81*k. Let p = -3 + 2.85. Let s = p - -0.29. Is s less than or equal to k? False Suppose 23*y - 8*y = -14*y - 29. Is -39 less than or equal to y? True Suppose 2536*u + 873 = 2539*u. Which is greater: u or -33? u Let q = -574 - -586. Suppose -5*s = 1 - 11. Suppose s*f - 22 = h - 2*h, -3*h - 34 = -4*f. Is f greater than q? False Let l = -464.1 - -464. Which is greater: 81 or l? 81 Let w(p) = 37*p**2 + 13*p + 14. Let l be w(-5). Let z = l + -105757/121. Which is bigger: 1 or z? 1 Let r be 256/(-64)*(171/86 - (-6 - -8)). Let b = 0 - 1. Let i be -1 + (6*b)/3. Which is greater: r or i? r Let r = 19 - 18.7. Let d = 0.169 - -52.831. Let m = 49 - d. Is r >= m? True Let j = -54.62 + 59. Let o = -85.62 - j. Which is greater: 1 or o? 1 Let g be ((-94)/(-4))/(((-85)/(-85))/((-4)/2)). Which is smaller: -0.3 or g? g Let j be (-81)/3 - (-7)/((-1 - -9)/(-8)). Is -73 >= j? False Let a be -284 + -40*19/(-76). Let n be 8/(-3)*5175/50. Which is smaller: n or a? n Let z = -1 - 0. Suppose -11682 = -15*i - 912. Let s = i + -15793/22. Is z at most s? True Suppose 31 = 5*m + 16. Suppose -83 = -m*g - j, 52 = 4*g + 5*j - 44. Suppose -31*a - 2 = -g*a. Do a and -1/3 have the same value? False Let u = 6.22 + -1.22. Let f = -27.5 - -25.5. Is f greater than u? False Let x(s) = -s**3 + 15*s**2 - 19*s - 89. Let h be x(13). Suppose 22 = -2*b - 4*n - 0*n, -h*n - 12 = 2*b. Which is smaller: 3/13 or b? b Let r = 1004 + -1014. Which is smaller: r or -52? -52 Let n be 1 + 2 + -5 - -5. Suppose t - 8 = 2*k - 11, n*k - 5*t - 8 = 0. Which is greater: k or -12/31? k Suppose 0 = -4*i - r - 579, 4*i - r + 169 = -420. Is -147 < i? True Suppose 4 + 2 = -6*n. Let b(y) = -y**2 + 6 - 9 - 6 + 5*y + 3*y. Let k be b(7). Is n bigger than k? True Let x = 17703/895 - 25/537. Which is greater: x or 21? 21 Let o be 13/(-69) - 3/9. Let j(f) = -3*f**3 - 9*f + 7 + 15*f + 6*f**2 + 0*f**2 + 2*f**3. Let h be j(7). Does h = o? False Let l(h) = 22*h**2 - 17*h - 609. Let r(s) = 5*s**2 - 4*s - 152. Let a(v) = 2*l(v) - 9*r(v). Let y be a(0). Let p be (5 - 2)/(y/4). Which is smaller: 1 or p? p Let f be (9*1118/(-78))/(0 + (-2)/(-30)). Which is smaller: -1934 or f? f Suppose -11 - 37 = -t. Let j be 5/(4/t + 2/8). Suppose 0 = -n + 2*n - 16. Are j and n equal? False Let f be ((-3)/(-2))/(-12*3/9888). Which is smaller: -415 or f? -415 Let w = 86 + -82. Suppose 0*b + 18 = -t - 4*b, -5*t + w*b = -6. Which is smaller: t or -19? -19 Let h = -234/2129 - -37523134/14903. Let c = h - 2508. Is 10 at most c? False Let u be 40/(-70) + (-6)/14. Let w = -34/13 - -679/26. Let m = w + -24. Are m and u unequal? True Let x = 1881.801 + -2.801. Is x equal to 0.3? False Let z = 22 - 20. Let i = -8 + z. Let h = 453/5 - 7253/80. Which is smaller: h or i? i Let u = -206349 + 206178. Suppose 0 = -4*r - 240 - 452. Which is smaller: r or u? r Let g = 108341/56 + -18355/8. Which is smaller: -360 or g? -360 Let x be 4 + -5 - (15597/(-38955) + 3/(-5)). Is x equal to 0? False Let b = 14114 - 5881. Are b and 8234 unequal? True Let b be (-10)/(-25) - 124/10. Let f be (-33)/6 + b/(-8). Let h = 1253 - 1258. Does f = h? False Let q = 8220 - 8317. Which is smaller: q or 3/11? q Suppose -5*r - 3 - 7 = 0. Let l(c) = -126*c**2 - 4 + 125*c**2 + 3. Let b be l(r). Which is smaller: b or 4? b Suppose 31*t - 48 = 14. Let q be 0 + -9 + 5 - t*-3. Let a be (2/(-3))/(64/(-216)). Which is smaller: q or a? q Let m = 178 + -152. Let a(y) = y**3 - 27*y**2 + 24*y + 52. Let h be a(m). Is 14/15 less than h? False Let j be ((-40)/25)/(2/(-35)). Let d = 2025 - 2025.1. Does d = j? False Let j = 640.88768 - -0.11232. Is j greater than or equal to 6? True Suppose 3 = v + b + 2, -v + 5*b - 5 = 0. Let l = 3343 + -1113221/333. Which is bigger: v or l? v Suppose 3*b + 2 = 5. Let u(x) = -2*x**3 + 20*x**2 - 2*x + 24. Let s be u(10). Let n be 18*(-1)/(-60)*s. Which is smaller: n or b? b Let g = -462 + 461. Let s be 5/(6/9 + -1). Which is smaller: s or g? s Let n(b) = -3*b**2 + 10*b - 14. Let l be n(2). Let m be -1 + 5 + (46 - l). Which is bigger: m or 1? m Let b = 2842 - 343885/121. Suppose 971*w = 972*w - 1. Do b and w have the same value? False Let m be (-5)/(2/((-6)/(-19))). Suppose 3*c + 4*s = -15, -5*c - 35 + 18 = 4*s. Which is smaller: m or c? c Let p be ((-9)/4)/(1/2)*(-3328)/(-7488). Are -1/9 and p unequal? True Let x be (6 + -5 - (-27)/(-33)) + (-1477)/77. Is 4 at most x? False Suppose 7*a = 3*a + 260. Let m = -92173 + 92240. Is a at most as big as m? True Let v = -1147/8 - -3445/24. Let a be 1 + -1*4/3. Is a smaller than v? True Let v = 3454379/119030770 + -91/3130. Which is smaller: v or 1? v Let h be (-3)/21*(-42)/(-48). Does 2/427 = h? False Let j = -14097 + 13856. Which is bigger: j or 5/11? 5/11 Let p be -20 + 112/8 - (-833)/(-3). Which is smaller: -283 or p? p Let b = 1709/2 + -855. Is -2/771 less than b? False Let m = -511.6 - -511.49. Is m >= 4/3? False Suppose -5*a - 4*k + 5*k = -6, 0 = -4*k - 4. Let h = 178/83 + -9362/3901. Which is greater: a or h? a Let w = -5537 + 5533.48. Which is smaller: w or -27? -27 Let u = 402982933 - 52791057661/131. Suppose -4*t + 4*x = -1097 + 10041, -5*t + 4*x - 11184 = 0. Let q = u - t. Which is greater: q or 1? 1 Suppose 2732 = -24*k + 10*k - 2378. Is -1827/5 > k? False Let w be 42/(-4)*4/3. Let r(l) = 31*l + 251. Let z be r(-8). Suppose -5*o - z*h - 2*h - 70 = 0, -o - 5*h = 10. Which is bigger: w or o? w Let f = -97 - -105. Suppose f*g = 9*g - 9. Let b(o) = o**2 - 12*o + 28. Let r be b(10). Is g greater than r? True Let w = 26279 - 289395/11. Is w less than or equal to -1/3? True Let u be 9848/16 - (-8 - (-5 + 1)). Which is smaller: 621 or u? u Let r = -646 + 418. Let u = r - -227.6. Which is greater: u or 2/55? 2/55 Let u = -4.544 + 1805.544. Is u < -1/3? False Let o(r) = r**2 + 2*r - 1. Let m be o(0). Let s = -1641 + 119781/73. Which is greater: m or s? s Let d be 70/(-3948)*(-8)/(-90). Let v = 71908/1269 - d. Which is smaller: 56 or v? 56 Let k(i) = -43*i + 1369. Let r be k(-24). Is 2401 bigger than r? False Let c = 0.2 + -0.1821. Let o = c - -44.0821. Let g = -44 + o. Do g and -46 have the same value? False Let v = -71659/234 + 2741/9. Let q = 45/26 + v. Let l = 0.6 - 0.3. Is l at least as big as q? True Suppose -3*c = 5*h - 626, 14*c - 19*c - 362 = -3*h. Which is smaller: h or 43? 43 Let u be 3 + -2 + 46/(-28). Suppose n - 2 = -0. Suppose -11*q + 3*q = -n*q. Which is smaller: q or u? u Suppose -458 = -39*y - 419. Is 2/6995 at least as big as y? False Let v = 1/26803 + 964865/1152529. Which is smaller: 2 or v? v Let w = -0.2816 + 1.2816. Does w = 6/89? False Let f = 13.0982 + -105.0372. Let h = f + 92. Let c = h - -0.039. Which is greater: c or -46? c Let z = 5 + -4.5. Let q = -0.5 + z. Let m(a) = -3*a + 282. Let s be m(97). Which is smaller: q or s? s Let m = 12.9 + 168.1. Let w = m + -181.1. Is w greater than 0? False Let g = -151 - -139. Let v(j) = j**3 + 11*j**2 - 15*j - 6. Let k be v(g). Are 31 and k non-equal? True Let p(d) = -d - 2. Suppose -8 = -35*x + 39*x. Let r be p(x). Let l be 3/1 - (-26)/(-8). Which is smaller: r or l? l Let b = -838601/6 - -139396. Which is smaller: -370 or b? b Let u = -0.228 + -25.372. Let s = u + 25. Let x = 8 + -8.4. Are s and x non-equal? True Let f be 0/((-6)/(-15)*5) + -11. Let b be (2 - 3) + f + 0/(-2). Let l be ((-4)/(-4))/((-2)/24). Is b equal to l? True Let v be (-25)/4*2*-2. Suppose -a + v = -0*a. Let b(c) = 2*c**2 + 49*c - 110. Let g be b(-27). Is g < a? False Let p = 13045 - 8505. Is 4540 <= p? True Let w be (-1)/((-312)/63 + 5). Let m be (3/(-108))/(w/(-392)). Is m <= -1? False Let z(w) = 4*w + 26. Let o be z(-6). Suppose -3*s - 1 = -o*s. Let i = 1/37 - 178/2479. Which is smaller: s or i? s Let o = -621 + 3128/5. Let s = 666 + -1056. Let k be s/52*(-4)/6. Is k not equal to o? True Let x(v) be the second derivative of 4*v**3/3 - 22*v. Let n be x(1). Let l be -4 + n/3 + (-8)/12. Does l = -12/5? False Let u be (-5 - (-5 + 15))/(-6*(-5)/(-100)). Are 67 and u non-equal? True Suppose 4*j - 3*j = -j - 2. Let g = -7437/11 - -675. Which is greater: g or j? j Let s
{ "pile_set_name": "DM Mathematics" }
1 Let f(u) = -u**3 - 3*u**2 + 13*u - 66. Determine f(0). -66 Let n(j) = j**3 - 13*j**2 + 3257*j - 38939. Determine n(12). 1 Let l(p) = p**3 - 499*p**2 + 35192*p - 672. Give l(414). 156 Let m(o) = -9*o**2 + 353205*o - 706405. Determine m(2). -31 Let z(o) = 8*o**2 - 192*o + 372. Give z(20). -268 Let n(j) = 45735*j - 45868. Calculate n(1). -133 Let g(s) = 130*s**2 + 290*s - 879. Give g(3). 1161 Let n(l) = 511*l - 4801. Calculate n(6). -1735 Let g(b) = 3*b**2 - 116*b - 2960. Calculate g(57). 175 Let x(t) = -80*t**3 + 7*t**2 - 748*t - 2240. Determine x(-3). 2227 Let l(x) = -2*x**3 + 598*x**2 - 3555*x + 25. Calculate l(6). -209 Let b(i) = 32675*i + 98010. What is b(-3)? -15 Let g(n) = 24022*n - 1969791. Calculate g(82). 13 Let m(l) = -6167*l**2 - 2269455*l + 381. Determine m(-368). 13 Let f(a) = 2*a**3 - 60*a**2 + 191*a - 3714. Calculate f(29). 143 Let m(b) = -3307*b**2 + 158736*b - 6. Calculate m(48). -6 Let i(h) = -1540*h + 391148. Give i(254). -12 Let n(m) = 70*m - 591. What is n(15)? 459 Let z(d) = -2*d**2 - 482*d - 8013. Calculate z(-17). -397 Let q(v) = -2*v**3 + 287*v**2 - 1780*v - 92. Give q(137). 45 Let z(h) = -116398*h**2 - 2793554*h - 12. Determine z(-24). 36 Let i(c) = c**3 - 47*c**2 + 42*c + 3972. Give i(44). 12 Let p(n) = -7*n**3 + 2258*n**2 - 3528*n - 982. What is p(321)? -19 Let z(i) = 2431*i - 51151. Calculate z(21). -100 Let d(v) = 37012*v - 1665526. Give d(45). 14 Let o(w) = -208*w**3 - w**2 - 563*w - 562. Calculate o(-1). 208 Let l(n) = -3*n**3 + 57*n**2 - 83*n + 1393. What is l(19)? -184 Let w(z) = -8*z - 1584. Give w(-80). -944 Let h(m) = 2*m**2 - 392*m - 422583. Give h(568). 9 Let c(r) = -3*r**3 - 247*r**2 - 4850*r + 2. Calculate c(-50). 2 Let c(m) = -m**3 + 21*m**2 + 7*m + 1109. Give c(20). 1649 Let a(u) = -2*u**3 + 457*u**2 - 228*u + 229. Determine a(228). 229 Let x(k) = -16*k**3 + 513*k**2 - 28*k - 167. Calculate x(32). -39 Let h(s) = -236*s - 5960. Determine h(-22). -768 Let j(i) = -5*i**2 + 105*i + 4226. Determine j(-20). 126 Let k(v) = -3*v**3 - 255*v**2 - 260*v - 233. Give k(-84). 439 Let q(d) = 17*d**2 - 21*d + 175. Give q(4). 363 Let g(a) = -a**3 - 14*a**2 + 60*a + 63. Give g(-18). 279 Let w(r) = 70*r + 7753. Give w(-117). -437 Let p(i) = -405*i - 3469. What is p(-7)? -634 Let k(l) = -31960*l - 9364261. What is k(-293)? 19 Let q(i) = -23*i**3 + 60*i**2 + 16*i - 60. Determine q(3). -93 Let s(r) = 2*r**3 - 4*r**2 + 200*r + 1509. What is s(-7)? -773 Let b(n) = -428*n + 128419. What is b(300)? 19 Let p(a) = a**2 - 69*a + 2066. Give p(53). 1218 Let f(n) = -n**2 + 1762544*n + 7. Give f(0). 7 Let c(f) = 32*f**2 + 1103*f + 9254. Give c(-20). -6 Let u(l) = -6152*l - 37026. Calculate u(-6). -114 Let t(h) = -1942*h + 29700. Determine t(15). 570 Let r(n) = n**3 + 29*n**2 + 148*n - 166. Determine r(-8). -6 Let y(v) = -395*v - 45823. Give y(-118). 787 Let c(i) = -217*i + 18084. Determine c(85). -361 Let f(l) = 2*l**3 - 137*l**2 + 2004*l - 41. Determine f(21). 148 Let p(y) = -5146*y + 31122. Determine p(6). 246 Let d(n) = 91854*n - 459037. Determine d(5). 233 Let y(d) = d**3 + 519*d**2 + 2394*d + 171954. What is y(-515)? -56 Let g(a) = -7*a**3 - 3*a**2 + 171*a - 338. Calculate g(2). -64 Let g(q) = 3*q**3 + 27*q**2 - 596*q - 5349. Calculate g(-9). 15 Let l(w) = 5*w**2 + 148*w + 1407. Determine l(-28). 1183 Let g(h) = 4*h**3 + 17*h**2 - 101*h + 508. Give g(6). 1378 Let t(h) = h**3 + 53*h**2 + 47*h - 67. Determine t(-52). 193 Let u(d) = -28330*d + 198294. Calculate u(7). -16 Let h(i) = -i**2 - 1091*i - 229170. Give h(-284). 18 Let s(v) = v**3 - 91*v**2 + 148*v + 3027. Calculate s(89). 357 Let i(p) = -59*p**3 + 42*p**2 + 64*p + 20. Calculate i(-1). 57 Let b(r) = -213*r**2 + 436*r - 23. Give b(2). -3 Let g(b) = 190*b - 3183. Give g(12). -903 Let n(k) = 8900*k + 53627. Determine n(-6). 227 Let v(p) = -834*p**2 + 5793*p + 303. What is v(7)? -12 Let b(t) = -t**2 - 1228*t - 270653. Determine b(-288). 67 Let m(h) = 132*h**3 - 4*h**2 - 48*h - 45. Give m(-1). -133 Let h(l) = l**3 - 35*l**2 + 42*l + 796. Calculate h(33). 4 Let t(i) = i**3 + 171*i**2 + 504*i + 86. Determine t(-168). 86 Let m(c) = 5896*c**3 - 12*c**2 - 114*c + 125. Determine m(1). 5895 Let z(y) = -91*y - 2573. Calculate z(-23). -480 Let a(x) = 2601*x - 3581577. Determine a(1377). 0 Let p(t) = -t**3 - 23*t**2 + 25306*t - 334. Give p(-171). 8 Let p(u) = -2676*u - 50692. Calculate p(-19). 152 Let y(x) = -2*x**3 - 252*x**2 + 5844*x + 593. Give y(-146). 9 Let j(l) = l**3 - 2*l**2 + l + 23. Determine j(-7). -425 Let n(w) = -4931*w + 98833. Calculate n(20). 213 Let m(w) = -14*w**2 + 762*w + 4980. Give m(-6). -96 Let j(v) = -38*v**2 + 274*v - 170. What is j(8)? -410 Let t(m) = -189142*m + 378278. Calculate t(2). -6 Let x(b) = -3*b**3 - 1872*b**2 + 71*b + 44297. Give x(-624). -7 Let r(c) = -549*c + 1633. Calculate r(3). -14 Let k(s) = 2*s**2 + 246*s - 163390. Determine k(231). 158 Let y(i) = 45*i**2 + 270*i - 273. Give y(1). 42 Let h(y) = 487*y**2 + 32149*y + 526. Determine h(-66). 64 Let i(w) = -5364*w + 28702. Determine i(5). 1882 Let o(i) = 9*i**2 - 842*i - 181. Determine o(94). 195 Let y(x) = -x**3 + 171*x**2 - 7138*x - 1534. Determine y(98). 34 Let n(h) = -3695*h - 121941. What is n(-33)? -6 Let s(i) = -2*i**3 - 381*i**2 + 468*i - 20618. Determine s(-192). 118 Let d(a) = 190*a**3 + 3*a**2 + 7*a - 11. What is d(2)? 1535 Let p(h) = 4680*h - 266770. Give p(57). -10 Let b(h) = 2*h**3 + 213*h**2 + 135*h + 2969. Give b(-106). -105 Let q(b) = -17741*b + 17734. What is q(1)? -7 Let s(r) = r**3 - 55*r**2 - 697*r - 1846. What is s(-4)? -2 Let g(n) = 10338*n - 1064833. Calculate g(103). -19 Let f(q) = -425*q**2 + 4242*q + 33. Determine f(10). -47 Let f(v) = -376465*v + 17317386. Give f(46). -4 Let o(t) = -132*t + 5303. Determine o(38). 287 Let f(c) = -572*c**2 + 320318*c + 1089. What is f(560)? -31 Let v(t) = -14402*t + 172830. Determine v(12). 6 Let p(f) = 1664*f + 299535. Calculate p(-180). 15 Let q(k) = 754*k + 62526. Calculate q(-85). -1564 Let y(m) = -8188*m + 114845. Determine y(14). 213 Let a(m) = 9117468*m - 63822275. Determine a(7). 1 Let n(k) = -1413*k + 16576. Determine n(11). 1033 Let p(b) = 110*b**3 + 989*b**2 - 532*b - 4702. Calculate p(-9). 5 Let h(b) = 2*b**3 + 115*b**2 - 204*b - 1457. What is h(-59)? 136 Let w(f) = 569*f + 6670. Give w(-12). -158 Let q(u) = 15670*u + 2601206. Determine q(-166). -14 Let c(o) = 2*o**3 - 115*o**2 + 3302*o - 175473. Give c(56). 31 Let m(h) = -545*h - 38816. What is m(-72)? 424 Let z(a) = -a**3 - 16*a**2 - 191*a - 684. What is z(-6)? 102 Let f(g) = -30071*g + 60145. Give f(2). 3 Let l(q) = -1752830*q + 5258493. Give l(3). 3 Let v(x) = 186187*x + 930936. What is v(-5)? 1 Let s(b) = -b**2 + 232*b - 5355. Determine s(25). -180 Let t(a) = -126*a + 27125. Calculate t(213). 287 Let c(j) = -762*j**2 - 3*j - 10. Determine c(1). -775 Let c(o) = -1039*o - 35338. Give c(-31). -3129 Let g(a) = -1422*a - 392490. Determine g(-276). -18 Let b(m) = m**2 - 27856*m + 4321213. What is b(156)? 13 Let t(y) = -y**3 + 48*y**2 + 6648*y + 29. Determine t(109). -80 Let g(l) = -l**3 + 101*l**2 + 1158*l + 480. Calculate g(-10). 0 Let x(u) = 1319*u - 6657. Calculate x(5). -62 Let h(n) = -3*n**2 + 144*n - 1689. Determine h(34). -261 Let u(h) = 2*h**3 + 281*h**2 + 383*h - 4782. Give u(-139). -56 Let s(q) = -q**3 + 27*q**2 + 138*q - 4305. What is s(26)? -41 Let a(u) = -2*u**3 - 11*u**2 - 273*u - 2522. Determine a(-8). -18 Let t(v) = -5828*v + 437061. Determine t(75). -39 Let v(p) = -172*p**2 - 4912*p + 4910. Calculate v(1). -174 Let g(f) = -f**3 + 43*f**2 - 367*f - 154. Give g(31). 1 Let c(m) = m**2 + 114296*m + 7881655. What is c(-69)? -8 Let a(x) = x**2 - 1607*x + 45633. Calculate a(29). -129 Let s(t) = -1217*t + 12961. Give s(13). -2860 Let v(s) = -323049*s - 1292218. What is v(-4)? -22 Let j(x) = 2*x**3 + 141*x**2 + 306*x - 2251. Give j(-68). 61 Let z(u) = -u**2 + 58*u - 879. Determine z(17). -182 Let t(x) = -5*x**2 + 9102*x + 45570. Determine t(-5). -65 Let u(w) = -67777*w - 271049. What is u(-4)? 59 Let z(d) = -d**3 + 6*d**2 - 67324*d + 269263. Give z(4). -1 Let u(o) = 2*o**2 - 41*o - 1558. Calculate u(-21). 185 Let c(m) = -4*m**2 + 206*m + 6528. What is c(74)? -132 Let x(z) = -z**3 - 13*z**2 - 153*z - 856. What is x(-7)? -79 Let l(w) = -21*w**2 + 395*w + 265. Give l(18)
{ "pile_set_name": "DM Mathematics" }
1 - (-6)/(-21). 2 Suppose -s + 2*y = -50, y = 2*s - 70 - 30. What are the prime factors of s? 2, 5 Let q(x) = 1 + x - 2*x**3 - x + 4*x**2 + x**3. List the prime factors of q(3). 2, 5 Let n = 65 - 43. List the prime factors of n. 2, 11 Suppose 4*v - 5*v + 3*p - 1 = 0, -5*v + 5*p + 25 = 0. What are the prime factors of v? 2 Suppose -5*q - 376 = -3*s - 0*s, 3*q = -s + 116. List the prime factors of s. 2, 61 Let i(w) = w**3 + 17*w**2 + 29*w + 8. What are the prime factors of i(-15)? 23 Let v(f) = f**2 - 3*f + 3. Let m be v(4). Let t = m + -3. Suppose -17 = -a + t*q, 0 - 2 = 2*q. What are the prime factors of a? 13 Suppose -2*d = -4*x - 12, -x + 15 = 3*d + d. Let u be (-1)/(2 - 33/17). List the prime factors of (u/3)/(x/3). 17 Let z(v) = -v**3 + v**2. Let q(k) = -2*k**3 + 3*k**2 - 4*k + 3. Let s(n) = -q(n) + z(n). Let g = 9 - 7. List the prime factors of s(g). 5 Let i(x) = x**3 - 8*x**2 + 8*x + 3. Let s(b) = -b**2 + 8*b + 7. Let g be s(8). List the prime factors of i(g). 2, 5 Suppose 4*a - a = 4*v + 166, 0 = 5*a - 5*v - 285. What are the prime factors of a? 2, 31 Let n = -420 - -593. List the prime factors of n. 173 Let v be (-5)/(-1)*34/5. Suppose 4*f + 154 = 5*w, -v = -3*w + 2*w + 4*f. List the prime factors of w. 2, 3, 5 Let r be 0/(-3) - -5 - 2. Let s(u) = u**3 - u**2 + 2*u - 3. Let y be s(r). Suppose 0 = 2*d + d - y. What are the prime factors of d? 7 What are the prime factors of ((-2)/(-4))/(4/2120)? 5, 53 Let z = 130 + 8. What are the prime factors of z? 2, 3, 23 Let x be 0 + -2 - (7 - 14). Suppose 4*s - 2 = k - 11, -4*s - 29 = -x*k. List the prime factors of k. 5 Let l(s) = 3*s + 9. Let m be l(6). Suppose j + 0*f - 4*f = m, 4*j - 2*f = 80. What are the prime factors of j? 19 Suppose 5*c - 1 + 6 = 0, 2*p - 3 = 3*c. Let k = 19 - p. What are the prime factors of k? 19 List the prime factors of 12/(-42) - 256/(-14). 2, 3 Let r = 241 + 169. What are the prime factors of r? 2, 5, 41 Suppose -36 = 4*n - 7*n. What are the prime factors of n? 2, 3 Suppose 7*z = 29 - 8. What are the prime factors of z? 3 Suppose 51 = -4*h - 45. Let q = h + 40. List the prime factors of q. 2 Let g = -207 - -291. Suppose g = -8*t + 4*t. Let p = -6 - t. What are the prime factors of p? 3, 5 Let s(l) = l + 4. Let b be s(-4). Suppose b = -0*y + y - 6. What are the prime factors of y? 2, 3 Let y be (-24)/(-9) + 12/9. Suppose 5*t - 14 = u, 3*u = -u + y. List the prime factors of t. 3 Suppose 0*t = -t + 2. Suppose -t*v + 78 = v. What are the prime factors of v? 2, 13 Suppose -249 = -4*c + 11. What are the prime factors of c? 5, 13 Let w be 57/(-9) - 6/9. Let k(i) = -2*i + 2. List the prime factors of k(w). 2 Suppose -4*w + 15 = -45. Let m = -15 + 30. List the prime factors of (-3)/m - (-123)/w. 2 Suppose -4*v + 4*j + 94 = 22, 0 = -5*v + 2*j + 87. Suppose 5*m - 13 = 2*l - 0*m, 4*l + v = m. Let b = l + 11. What are the prime factors of b? 7 Let d(x) = x**3 - x**2 - x + 22. Let t be d(0). Suppose -2*l + 46 = -k, -2*l - 5*k + 0*k = -t. What are the prime factors of l? 3, 7 Suppose 0 = -3*o - 5*f + 65, 80 = 3*o + 2*f - 0*f. List the prime factors of o. 2, 3, 5 Suppose -2*c = 2, -3*f = 4*c - 27 - 14. Suppose 5*k = 15 + f. What are the prime factors of k? 2, 3 Let j(w) = 13*w. Let d be j(2). What are the prime factors of 4/d - (-802)/26? 31 Suppose 69 = 10*n - 341. List the prime factors of n. 41 Suppose 0 = -h + 6 - 4. Suppose -l + 0*l + 10 = 0. What are the prime factors of h/1 - (0 - l)? 2, 3 What are the prime factors of -5*((-28)/(-5))/(-4)? 7 Let r = 87 + 15. List the prime factors of r. 2, 3, 17 Let g be (-2)/(-3 + 2 - -3). Let f = g - -3. Suppose -z - f = -m, 3*z + 3*m - 22 = -2*z. List the prime factors of z. 2 Let p = 143 - 209. Let y = 97 + p. List the prime factors of y. 31 Suppose -148 = -117*b + 115*b. List the prime factors of b. 2, 37 List the prime factors of (-11)/(-44) + (-798)/(-8). 2, 5 Let q = 1 - 3. Let h = q + 5. Suppose h*u + u + 5*d - 49 = 0, -2*d - 42 = -4*u. What are the prime factors of u? 11 Let i(h) = -h**3 + 4*h**2 - 2*h - 2. Let y be i(2). Suppose -3 = u - y. List the prime factors of 0 + (-3 + 1)*u. 2 Suppose -2*b = 4*q - 4*b - 62, -2*q + 28 = -4*b. What are the prime factors of q? 2 Suppose 3*d - 4 = -0*p + p, -3*p - 12 = -4*d. Let r(h) = h**3 - h**2 - 1. Let k be r(d). List the prime factors of k/(-5) + (-378)/(-35). 11 Let y be -4*3/(-6) + 36. Let u = 19 - y. Let v = u - -31. What are the prime factors of v? 2, 3 Let h = 4 - -11. Suppose 0 = i + 4*a + 26, -4*a + 5*a + 5 = 0. What are the prime factors of (h/i)/(2/(-8))? 2, 5 Let g = 8 - 6. Suppose 416 = g*t - 6*t. What are the prime factors of ((-1)/(-2))/((-4)/t)? 13 Suppose -3*c - 139 = -727. What are the prime factors of c? 2, 7 Let s(f) = 5*f**2 - 2. What are the prime factors of s(3)? 43 Suppose 0 = 4*v + 217 - 41. List the prime factors of (-2)/(-11) + (-80)/v. 2 Let r = -132 - -190. What are the prime factors of r? 2, 29 Let z(s) = s**3 + 7*s**2 - s - 5. Let c(y) = 2*y + 3. Let k be c(-5). List the prime factors of z(k). 2 What are the prime factors of (0 + -8)*(5 - (-5 + 28))? 2, 3 Let f be (-10)/(-4)*8/10. Let g(q) be the first derivative of q**4/4 + q**2/2 + 1. List the prime factors of g(f). 2, 5 Let i(o) = -o**3 - 5*o**2 - 4*o + 9. Let c(a) = a**3 + 4*a**2 + 3*a - 10. Let r(d) = -5*c(d) - 4*i(d). Let g = 30 - 30. List the prime factors of r(g). 2, 7 Suppose -3*z = 2*r + r - 387, 293 = 2*z - 5*r. What are the prime factors of z? 2, 67 Suppose 8*s = 3*s - 75. Let y = s - -26. What are the prime factors of y? 11 Let l = 375 - 199. List the prime factors of l. 2, 11 Suppose 5 = b + 3*o + 1, -5 = o. List the prime factors of b. 19 Let d be (-77)/(-35) - (-1)/(-5). Let j(v) = v**3 - v - 1. Let m be j(d). Suppose -13 = -3*x + m. What are the prime factors of x? 2, 3 Let p = 5 - 0. Suppose 0*x - 74 = -p*z + 2*x, 3*z = 2*x + 46. List the prime factors of z. 2, 7 Let l(d) = -d. Let r(h) = h + 1. Let u(q) = -5*l(q) - 3*r(q). List the prime factors of u(4). 5 Let i be (-3)/(-9) + 2/(-6). Suppose 2*x = -2*p - i - 6, -20 = -5*p + 2*x. Suppose s + 6 = p*s. What are the prime factors of s? 2, 3 Let t(z) = -z**3 + 4*z**2 + 8*z - 7. What are the prime factors of t(5)? 2 Suppose b + 210 = 5*o, -3*o - b - 2*b + 126 = 0. Let f = 23 - o. Let r = 35 + f. What are the prime factors of r? 2 Let a = 5 + -32. Suppose -2*k = -2*t + 82, 91 = 2*t - k + 10. Let b = a + t. What are the prime factors of b? 13 What are the prime factors of (0 + 8/(-12))*-36? 2, 3 Suppose 20 = -2*k - 4*l - 4, -5*k = -2*l + 108. Let y = -4 - k. List the prime factors of y. 2 Let b(f) = -f**3 + f**2 - 3*f + 3. Let m be b(2). Let t = -2 - m. What are the prime factors of t? 5 Let y be (30/8)/((-3)/(-56)). Let z = -38 + y. List the prime factors of z. 2 Let j = -144 + 247. Suppose a + 4*v + 82 = 3*a, -3*a + 2*v = -j. What are the prime factors of a? 31 Let b be 2/3*(18 - 0). Suppose -3*y - 6 = -2*a - 2*a, 2*a = -3*y + b. What are the prime factors of a? 3 Let f(p) = -p**2 + 8*p - 5. Suppose u = 7 - 1. Let y be f(u). Let z(v) = -v**2 + 8*v - 1. What are the prime factors of z(y)? 2, 3 Suppose -62 = 4*m - 246. What are the prime factors of (m/(-4))/((-2)/4)? 23 Let r(v) = -v**2 + 7*v + 7. Let t be r(7). Suppose 0 = -3*y + 2*c + 34, t*y - 5*c - 50 = 2*y. What are the prime factors of y? 2, 7 Let r be (-5 - -3)/(-2)*3. Suppose 4*g - 3*h = -3 - 5, r*g + 5*h = 23. List the prime factors of -18*g/((-3)/2). 2, 3 Suppose 2*q + 42 = 2*y, -3*q + y - 113 = 2*q. Let p = 43 + q. What are the prime factors of p? 2, 5 Suppose z = -28 + 211. List the prime factors of z. 3, 61 Let v = -215 + 407. What are the prime factors of v? 2, 3 Let j = 10 + -7. Suppose 0 = -j*x + 74 - 17. What are the prime factors of x? 19 Suppose 0 = m - 67 - 5. List the prime factors of m. 2, 3 Let u = -7 - -7. Suppose 2*j - 3 - 15 = u. What are the prime factors of j? 3 Let p be 2*2 - (-4 - -4). Suppose 9 - p = m. List the prime factors of m. 5 Suppose 0*u = -4*u + 88. What are the prime factors of u? 2, 11 What are the prime factors of (-193)/(-2)*(-4)/(-2)? 193 Let n(p) = p - 12. Let u be n(12). Suppose u*b - 124 = -4*b. Suppose 5*k = 4 + b. List the prime factors of k. 7 Suppose -4*s - 55 = -15. Let r(b) = -b**3 - 10*b**2 - 2*b - 8. List the prime factors of r(s). 2, 3 S
{ "pile_set_name": "DM Mathematics" }
is the remainder when 11507 is divided by 116? 23 Calculate the remainder when 75309 is divided by 127. 125 Calculate the remainder when 11893 is divided by 1320. 13 Calculate the remainder when 86491 is divided by 36. 19 Calculate the remainder when 3250 is divided by 528. 82 Calculate the remainder when 23976 is divided by 23976. 0 Calculate the remainder when 2738 is divided by 2728. 10 Calculate the remainder when 2209 is divided by 313. 18 Calculate the remainder when 7830 is divided by 2. 0 What is the remainder when 478 is divided by 134? 76 Calculate the remainder when 15594 is divided by 742. 12 What is the remainder when 98704 is divided by 257? 16 What is the remainder when 15648 is divided by 1918? 304 What is the remainder when 3010 is divided by 179? 146 What is the remainder when 5840 is divided by 2881? 78 Calculate the remainder when 636 is divided by 128. 124 What is the remainder when 119135 is divided by 3971? 5 Calculate the remainder when 400979 is divided by 4050. 29 What is the remainder when 500661 is divided by 184? 181 What is the remainder when 6355 is divided by 495? 415 Calculate the remainder when 5419 is divided by 101. 66 Calculate the remainder when 11415 is divided by 76. 15 Calculate the remainder when 26572 is divided by 186. 160 Calculate the remainder when 10000 is divided by 833. 4 What is the remainder when 536279 is divided by 436? 435 What is the remainder when 74362 is divided by 658? 8 Calculate the remainder when 33963 is divided by 34. 31 What is the remainder when 12776 is divided by 192? 104 What is the remainder when 20477 is divided by 1692? 173 What is the remainder when 111575 is divided by 111566? 9 What is the remainder when 589 is divided by 309? 280 Calculate the remainder when 29577 is divided by 110. 97 What is the remainder when 12762 is divided by 185? 182 What is the remainder when 7070 is divided by 516? 362 Calculate the remainder when 3716 is divided by 73. 66 What is the remainder when 11014 is divided by 306? 304 What is the remainder when 5336 is divided by 68? 32 Calculate the remainder when 7942 is divided by 608. 38 Calculate the remainder when 3682 is divided by 19. 15 What is the remainder when 35715 is divided by 45? 30 Calculate the remainder when 2841 is divided by 149. 10 What is the remainder when 3927 is divided by 70? 7 Calculate the remainder when 57818 is divided by 67. 64 Calculate the remainder when 3762 is divided by 3760. 2 What is the remainder when 14588 is divided by 1876? 1456 What is the remainder when 196501 is divided by 14? 11 What is the remainder when 25174 is divided by 8110? 844 Calculate the remainder when 4605 is divided by 42. 27 Calculate the remainder when 1446 is divided by 154. 60 What is the remainder when 16109 is divided by 58? 43 Calculate the remainder when 20179 is divided by 632. 587 What is the remainder when 3739 is divided by 724? 119 Calculate the remainder when 3800206 is divided by 13. 7 Calculate the remainder when 375 is divided by 195. 180 Calculate the remainder when 31460 is divided by 137. 87 What is the remainder when 1664 is divided by 199? 72 What is the remainder when 207863 is divided by 1094? 3 Calculate the remainder when 13350 is divided by 4444. 18 What is the remainder when 12966 is divided by 96? 6 Calculate the remainder when 18136 is divided by 3575. 261 What is the remainder when 9591 is divided by 4749? 93 Calculate the remainder when 379063 is divided by 185. 183 Calculate the remainder when 5912 is divided by 842. 18 What is the remainder when 21680 is divided by 978? 164 Calculate the remainder when 15498 is divided by 408. 402 Calculate the remainder when 24636 is divided by 24634. 2 Calculate the remainder when 127607 is divided by 79. 22 What is the remainder when 367956 is divided by 10? 6 What is the remainder when 1062045 is divided by 271? 267 What is the remainder when 13025 is divided by 18? 11 Calculate the remainder when 224452 is divided by 583. 580 Calculate the remainder when 7499 is divided by 1666. 835 Calculate the remainder when 218916 is divided by 39. 9 What is the remainder when 902 is divided by 116? 90 Calculate the remainder when 106702 is divided by 97. 2 What is the remainder when 2265764 is divided by 11? 6 Calculate the remainder when 125778 is divided by 7. 2 Calculate the remainder when 162987 is divided by 85. 42 What is the remainder when 14733 is divided by 702? 693 Calculate the remainder when 841 is divided by 239. 124 Calculate the remainder when 239749 is divided by 1029. 1021 What is the remainder when 3105 is divided by 976? 177 What is the remainder when 9037 is divided by 20? 17 What is the remainder when 149171 is divided by 2763? 2732 Calculate the remainder when 9959 is divided by 417. 368 What is the remainder when 225122 is divided by 75035? 17 Calculate the remainder when 5183 is divided by 1252. 175 Calculate the remainder when 419451 is divided by 464. 459 What is the remainder when 25133 is divided by 397? 122 Calculate the remainder when 14761 is divided by 2458. 13 What is the remainder when 11200 is divided by 2248? 2208 What is the remainder when 1015 is divided by 286? 157 Calculate the remainder when 49424 is divided by 9883. 9 What is the remainder when 1084479 is divided by 292? 283 What is the remainder when 28375 is divided by 346? 3 Calculate the remainder when 14482 is divided by 690. 682 Calculate the remainder when 461496 is divided by 5. 1 Calculate the remainder when 15287 is divided by 65. 12 Calculate the remainder when 29607 is divided by 59. 48 What is the remainder when 4129 is divided by 53? 48 Calculate the remainder when 3798 is divided by 4. 2 What is the remainder when 33031 is divided by 327? 4 What is the remainder when 1802884 is divided by 8? 4 Calculate the remainder when 2025 is divided by 615. 180 Calculate the remainder when 10878 is divided by 677. 46 Calculate the remainder when 1109955 is divided by 38. 13 Calculate the remainder when 19662 is divided by 15. 12 Calculate the remainder when 79154 is divided by 406. 390 What is the remainder when 328576 is divided by 1133? 6 What is the remainder when 12073 is divided by 66? 61 Calculate the remainder when 31247 is divided by 168. 167 What is the remainder when 11144 is divided by 5402? 340 What is the remainder when 295 is divided by 193? 102 What is the remainder when 37554 is divided by 39? 36 Calculate the remainder when 1108964 is divided by 39. 38 Calculate the remainder when 208030 is divided by 69335. 25 Calculate the remainder when 3306045 is divided by 16. 13 What is the remainder when 79297 is divided by 311? 303 What is the remainder when 96888 is divided by 187? 22 What is the remainder when 12147 is divided by 81? 78 Calculate the remainder when 8501 is divided by 105. 101 What is the remainder when 9657 is divided by 1376? 25 Calculate the remainder when 412 is divided by 22. 16 Calculate the remainder when 7536 is divided by 5. 1 What is the remainder when 25858 is divided by 20? 18 What is the remainder when 2652 is divided by 556? 428 Calculate the remainder when 234689 is divided by 234683. 6 What is the remainder when 3072 is divided by 342? 336 Calculate the remainder when 2296217 is divided by 185. 182 What is the remainder when 62912 is divided by 588? 584 Calculate the remainder when 21437 is divided by 67. 64 What is the remainder when 87016 is divided by 76? 72 What is the remainder when 15110 is divided by 125? 110 What is the remainder when 10700 is divided by 10676? 24 Calculate the remainder when 7851 is divided by 48. 27 Calculate the remainder when 13838 is divided by 165. 143 What is the remainder when 578487 is divided by 116? 111 Calculate the remainder when 3099 is divided by 773. 7 Calculate the remainder when 2139 is divided by 268. 263 Calculate the remainder when 159807 is divided by 454. 453 What is the remainder when 8801 is divided by 8? 1 What is the remainder when 12940 is divided by 43? 40 What is the remainder when 8447 is divided by 192? 191 Calculate the remainder when 3767 is divided by 483. 386 What is the remainder when 183696 is divided by 59? 29 Calculate the remainder when 88577 is divided by 399. 398 Calculate
{ "pile_set_name": "DM Mathematics" }
rob of sequence ojo when three letters picked without replacement from {o: 3, j: 6, q: 6}? 6/455 What is prob of sequence hhl when three letters picked without replacement from {h: 8, l: 2, o: 2}? 14/165 Calculate prob of sequence dd when two letters picked without replacement from dgdzgzgd. 3/28 What is prob of sequence xx when two letters picked without replacement from {o: 7, e: 5, n: 2, x: 4}? 2/51 Calculate prob of sequence ffx when three letters picked without replacement from {f: 2, x: 1, n: 4}. 1/105 Two letters picked without replacement from {n: 3, c: 2, s: 3, f: 7, a: 4}. Give prob of sequence fn. 7/114 Two letters picked without replacement from {l: 5, q: 5}. Give prob of sequence ql. 5/18 Calculate prob of sequence be when two letters picked without replacement from blbvevbbbbbkekb. 8/105 What is prob of sequence kw when two letters picked without replacement from {k: 2, w: 1, g: 1}? 1/6 Two letters picked without replacement from {k: 3, h: 3, w: 2, p: 6, c: 2}. Give prob of sequence ph. 3/40 Calculate prob of sequence nmin when four letters picked without replacement from {n: 7, m: 5, i: 4}. 1/52 Calculate prob of sequence rdx when three letters picked without replacement from {o: 3, v: 1, g: 1, d: 1, x: 6, r: 1}. 1/286 Two letters picked without replacement from ggbbb. Give prob of sequence bb. 3/10 What is prob of sequence mm when two letters picked without replacement from {c: 2, m: 7, k: 6}? 1/5 Calculate prob of sequence gh when two letters picked without replacement from zihnikg. 1/42 Four letters picked without replacement from {h: 10}. What is prob of sequence hhhh? 1 Four letters picked without replacement from aalllaassslslsssl. Give prob of sequence aall. 3/476 Two letters picked without replacement from {g: 7, s: 3}. Give prob of sequence gs. 7/30 Three letters picked without replacement from kktkkkktkkkk. Give prob of sequence tkt. 1/66 Calculate prob of sequence bhb when three letters picked without replacement from bbhhhhhhh. 1/36 What is prob of sequence ejj when three letters picked without replacement from {e: 5, j: 11}? 55/336 Calculate prob of sequence ajda when four letters picked without replacement from nnnndjanannnnnn. 1/16380 What is prob of sequence pf when two letters picked without replacement from wpwfofofbpkwwfw? 4/105 Calculate prob of sequence ot when two letters picked without replacement from {t: 2, g: 4, o: 2, x: 4, z: 2}. 2/91 Four letters picked without replacement from wiwiwiiiiwiiiw. Give prob of sequence wiiw. 60/1001 What is prob of sequence el when two letters picked without replacement from {e: 1, t: 3, f: 2, l: 1}? 1/42 Two letters picked without replacement from {q: 6, b: 1, f: 2, y: 1, h: 3}. What is prob of sequence hh? 1/26 Two letters picked without replacement from ydthydtyyydr. What is prob of sequence yh? 5/132 Three letters picked without replacement from weecsxp. Give prob of sequence scw. 1/210 Four letters picked without replacement from {r: 2, p: 2, b: 5}. What is prob of sequence bbbr? 5/126 Two letters picked without replacement from nsrsssrnssrrrssrs. What is prob of sequence ss? 9/34 What is prob of sequence cccz when four letters picked without replacement from zzczzzzczczzzzz? 1/455 Calculate prob of sequence mdd when three letters picked without replacement from mdmdmmmmddkumddmdddk. 8/95 Two letters picked without replacement from rrrcrrrcttr. What is prob of sequence rc? 7/55 Two letters picked without replacement from {c: 8, t: 3}. Give prob of sequence ct. 12/55 Three letters picked without replacement from trtzgrhzhgjrjjgg. Give prob of sequence rhg. 1/140 What is prob of sequence ww when two letters picked without replacement from {o: 5, b: 3, n: 7, w: 4}? 2/57 Four letters picked without replacement from {h: 1, f: 5, a: 4}. What is prob of sequence faaf? 1/21 Two letters picked without replacement from ooggoogtttgtggogo. What is prob of sequence go? 21/136 Calculate prob of sequence lul when three letters picked without replacement from fffllfulou. 1/60 Calculate prob of sequence pqkq when four letters picked without replacement from qqqkqkppqpppkpqqkqqq. 6/323 Calculate prob of sequence ovci when four letters picked without replacement from rcrivrcrocv. 1/1320 Calculate prob of sequence qqqq when four letters picked without replacement from qpqqqqppqqqqppppppqq. 22/323 Calculate prob of sequence wv when two letters picked without replacement from {a: 3, b: 6, f: 4, w: 1, v: 1}. 1/210 What is prob of sequence aa when two letters picked without replacement from aqaaqaaa? 15/28 What is prob of sequence ixv when three letters picked without replacement from {y: 1, v: 1, m: 1, u: 1, x: 2, i: 2}? 1/84 Calculate prob of sequence fvv when three letters picked without replacement from vllfvltvvllv. 1/66 Two letters picked without replacement from {c: 4, a: 1, p: 6, w: 2}. Give prob of sequence wp. 1/13 Four letters picked without replacement from uqjuqujjuququoqqq. Give prob of sequence juoj. 3/4760 Four letters picked without replacement from eaaeeaadaaeaa. Give prob of sequence eaaa. 56/715 Calculate prob of sequence qu when two letters picked without replacement from htthtuthiuthhtihthqi. 1/190 What is prob of sequence zm when two letters picked without replacement from {v: 4, l: 1, m: 3, z: 5}? 5/52 Three letters picked without replacement from yfffkyfvkfffffkkfvf. What is prob of sequence yfk? 44/2907 What is prob of sequence uaaa when four letters picked without replacement from {a: 6, u: 7}? 7/143 What is prob of sequence sv when two letters picked without replacement from {v: 1, n: 1, r: 1, f: 1, s: 4}? 1/14 Four letters picked without replacement from {b: 6, t: 9, h: 1, f: 1, l: 2}. What is prob of sequence hlbt? 3/2584 Four letters picked without replacement from slzllsslddnulslunn. Give prob of sequence llld. 1/306 Calculate prob of sequence xdxd when four letters picked without replacement from xxdddxdxxddxdxdhxdd. 35/646 Three letters picked without replacement from lssliulsuwlwuiiu. What is prob of sequence lis? 3/280 Four letters picked without replacement from {a: 2, n: 5}. What is prob of sequence nana? 1/21 Four letters picked without replacement from {x: 1, o: 2, c: 2, j: 3, k: 4}. What is prob of sequence occj? 1/990 Two letters picked without replacement from {j: 8, f: 6, q: 4, x: 1, y: 1}. What is prob of sequence jq? 8/95 Four letters picked without replacement from {o: 5, h: 2, p: 5, e: 1, i: 3, a: 4}. Give prob of sequence hhoa. 1/2907 Two letters picked without replacement from {c: 2, e: 1, w: 1, d: 1}. What is prob of sequence cc? 1/10 What is prob of sequence uxbj when four letters picked without replacement from {j: 1, u: 2, b: 6, x: 4}? 2/715 What is prob of sequence vvv when three letters picked without replacement from gggvgmmgvcssggvmgvg? 4/969 Three letters picked without replacement from iyiigiujyiujyik. Give prob of sequence jyj. 1/455 Calculate prob of sequence yy when two letters picked without replacement from {y: 7, w: 1}. 3/4 What is prob of sequence iia when three letters picked without replacement from iaaaia? 1/15 Two letters picked without replacement from ddidrvdcvrdrdd. Give prob of sequence cr. 3/182 What is prob of sequence bb when two letters picked without replacement from gbbjjkx? 1/21 Calculate prob of sequence nnn when three letters picked without replacement from yanqayaeqqbeaay. 0 Four letters picked without replacement from {x: 2, q: 1, a: 1, o: 1, b: 5}. What is prob of sequence aqbb? 1/252 Three letters picked without replacement from {d: 1, e: 2, p: 1, g: 3, r: 3, z: 7}. Give prob of sequence ede. 1/2040 What is prob of sequence ff when two letters picked without replacement from bjffbbb? 1/21 Three letters picked without replacement from {c: 4, s: 2, e: 5, n: 1, r: 2}. Give prob of sequence rcn. 1/273 What is prob of sequence ne when two letters picked without replacement from {n: 6, e: 6}? 3/11 Two letters picked without replacement from {w: 2, v: 7, f: 1, e: 1, m: 1, i: 2}. Give prob of sequence wv. 1/13 What is prob of sequence vvo when three letters picked without replacement from pooooopvpopobvop? 1/210 Two letters picked without replacement from {u: 5, f: 2}. Give prob of sequence uu. 10/21 Calcul
{ "pile_set_name": "DM Mathematics" }
+ sqrt(891))*2)*6. -4*sqrt(5)/3 Simplify (-2 + ((sqrt(91) + sqrt(91) + -1*sqrt(91) + sqrt(91))*2*-5)/((sqrt(224) - sqrt(224)*2)/sqrt(2)) + 5 + 2)**2. 50*sqrt(13) + 350 Simplify (sqrt(1960)*-5 + -6*sqrt(80)/sqrt(2) + sqrt(40))/(-3*sqrt(648) - sqrt(48)/sqrt(96)). 160*sqrt(5)/109 Simplify -3*(5 + -5*((-5*(sqrt(112)*3 + sqrt(112)) + (sqrt(112) - (sqrt(112) - ((3 + sqrt(112))*5 + sqrt(112) - sqrt(112) - sqrt(112)))))*-4)**2). -460800*sqrt(7) + 6935265 Simplify (-1 + 3 + -1*sqrt(153))*1 - ((sqrt(153) + sqrt(153)*2 + 0 + (sqrt(153) - (3 + sqrt(153)*1)) + sqrt(153))*-1)**2. -2455 + 69*sqrt(17) Simplify ((sqrt(896) + (sqrt(896) - (2*sqrt(896) - sqrt(896)) - sqrt(896)))/sqrt(2) - (-2*sqrt(2016))/sqrt(2))*1. 24*sqrt(7) Simplify -4 + (-2 + ((sqrt(22)/(sqrt(22)/sqrt(2)))**2 + sqrt(4)/sqrt(2) + 3)*-3)*-1. 3*sqrt(2) + 13 Simplify ((sqrt(70) + -3*sqrt(70)*2)/(sqrt(7) + (sqrt(63) - sqrt(7))*5))/(sqrt(98)*-3 + (-2*sqrt(24))/sqrt(12)). 5*sqrt(5)/253 Simplify ((sqrt(78) + ((sqrt(78)*2 + sqrt(78))*6 - sqrt(78)) - sqrt(78))/(sqrt(2)*1*-3))/((sqrt(576)*-2 - sqrt(36))/(-4*(sqrt(192) + sqrt(12)))). -340*sqrt(13)/27 Simplify (((sqrt(12)/(4*sqrt(4)) - (sqrt(36)/sqrt(12) + -2)) + 6*-5*-6*sqrt(363))*-3)**2. 71253*sqrt(3) + 1692330579/16 Simplify -1 + -4*(-1 + 5 + (sqrt(180)*-1*2 + -3*sqrt(180)*1)**2). -18017 Simplify -4 + -3 + (-2*sqrt(1300))**2*2 + sqrt(1300) + 5 + (1 + sqrt(1300) - sqrt(1300))**2 + -4. 10*sqrt(13) + 10395 Simplify (-1*1*sqrt(3400) + -2*sqrt(3400)*-2)/((1*sqrt(44)/sqrt(2))/(sqrt(77)/(sqrt(7)*-1))). -30*sqrt(17) Simplify ((sqrt(4131)*1)/(sqrt(27)/sqrt(81)) + 0 + -2)**2 + -1. -108*sqrt(17) + 12396 Simplify (sqrt(70)/(-4*sqrt(5) - sqrt(5)) + -2*sqrt(56))/((4*((1*sqrt(352) - sqrt(352)) + sqrt(352) + sqrt(352)))/sqrt(11)). -21*sqrt(7)/160 Simplify (-4 + 3 + 3 + (sqrt(1088) - (4 + sqrt(1088))) + sqrt(1088) + -4 + -2 + -4)**2. -192*sqrt(17) + 1232 Simplify 2 + (sqrt(2025)*2 - sqrt(225)/(sqrt(45)/sqrt(5)))/(sqrt(320) - -1*(-3*sqrt(320) - sqrt(320))). -17*sqrt(5)/24 + 2 Simplify (5*-2*sqrt(192)*5*-5)/((sqrt(144) + (sqrt(144) - (1*sqrt(144) + sqrt(144))) - sqrt(4))*-1*-4*-1). 250*sqrt(3) Simplify (((sqrt(42) + sqrt(168))*-3 + sqrt(168) + sqrt(168)*1 + sqrt(42))/(sqrt(48)/sqrt(2) + sqrt(6)*3*-4))**2. 28/25 Simplify (sqrt(700) + ((1 + 6*sqrt(700))**2 + sqrt(700) - sqrt(700) - sqrt(700)))*1 - (-5*(sqrt(700) + -4)*4)**2. -261199 + 32120*sqrt(7) Simplify -5 + ((5*-3*sqrt(325))**2 + -5 - (5 + (sqrt(1872) - (sqrt(1872)*-5 - sqrt(1872)))*5)). -420*sqrt(13) + 73110 Simplify 2 + (5 + sqrt(76) - sqrt(228)/(sqrt(24)/sqrt(2))) - (2*(sqrt(19) + sqrt(2299)) - (sqrt(1216) - sqrt(1216)*-1)). -7*sqrt(19) + 7 Simplify ((sqrt(24) - sqrt(1176)*6) + sqrt(24) - (sqrt(264) - 5*sqrt(264))/sqrt(11))/(-1*2*5*sqrt(1452)). 18*sqrt(2)/55 Simplify ((-6*1*sqrt(484))/(sqrt(99)*1 + sqrt(11)))/((sqrt(24)*3)/sqrt(6) + sqrt(256)). -3*sqrt(11)/22 Simplify -4 + ((sqrt(1872) - (sqrt(1872) + (sqrt(1872) + 0 - sqrt(1872)) + -4))*2 + 1 + (sqrt(1872) + -1*sqrt(1872))*-4 + -4)**2 + 1. 22 Simplify ((sqrt(49) + (-2*sqrt(539) - sqrt(539))/sqrt(11))*-1*5)/(3*sqrt(56)/sqrt(8) + (-5*sqrt(63) - sqrt(7))). -10*sqrt(7)/13 Simplify (-5*(-2*(-1 + sqrt(891)) + -1) + (3*(-1 + sqrt(891))*6 + -4)**2)*2. -14076*sqrt(11) + 578326 Simplify -4 + 5*(1 + ((4*(sqrt(1700) + 1) + (sqrt(1700) - (-1 + sqrt(1700) + -4)))*-1)**2). 3600*sqrt(17) + 136406 Simplify -1*((5*(1 + sqrt(304)) + -3 - -1*sqrt(304)*4*-3)**2 + -4). -14896 + 112*sqrt(19) Simplify (-3 + -3*(sqrt(208) - (sqrt(208) - (2 + sqrt(208)))) - (-1 + -3 + sqrt(208)*1))**2. 160*sqrt(13) + 3353 Simplify ((-4 + sqrt(204)/(sqrt(12)*-2))*-2 + sqrt(34)/(sqrt(2) + ((sqrt(16)*-3)/sqrt(8) - sqrt(2))) + 1)**2. 12*sqrt(17) + 797/9 Simplify (sqrt(78)/(1*sqrt(2)))/(1*sqrt(108))*-3 - (1 + (-3*sqrt(1300) - (sqrt(13) + 1*sqrt(117)))). -1 + 67*sqrt(13)/2 Simplify -6*((2*(sqrt(76) + sqrt(76)*-1*-6))/((sqrt(256) + -2*sqrt(256) - sqrt(256))*-3))**2. -931/96 Simplify ((2*sqrt(19) + 2)**2 + sqrt(76)/(sqrt(8)/sqrt(2)) - (((-2*sqrt(38))/sqrt(2))**2 + (1*sqrt(304))**2)) + 2 + sqrt(114)/((3*sqrt(30))/sqrt(5)) + -1. -299 + 28*sqrt(19)/3 Simplify 1 + (2*((1 + sqrt(13) + -4)*1 + sqrt(156)/sqrt(3)*-1))**2 + 5. 24*sqrt(13) + 94 Simplify (-1*((2*sqrt(117))**2*-1 + ((2*sqrt(117))**2 + -5 - sqrt(117))) + -3 + 5)*-4. -12*sqrt(13) - 28 Simplify ((sqrt(52)*-2*-2)/(-6*((sqrt(4) - 2*sqrt(4)) + sqrt(4)) - sqrt(4)))**2 - -2*((sqrt(208)*3*-2)**2 - sqrt(208)). -8*sqrt(13) + 15184 Simplify -5 + 4 + 2 + sqrt(272) + 2 + 0 + ((0 + sqrt(272) + 1 - sqrt(272)) + ((-1 + sqrt(272) - sqrt(272)) + sqrt(272))*5 + sqrt(272))**2. -188*sqrt(17) + 9811 Simplify (4 + sqrt(200) + -3)*5 + ((sqrt(162) + (((sqrt(162) - (1*sqrt(162) - sqrt(162))) + sqrt(162) - sqrt(162)) + sqrt(162))*3 - sqrt(162))*1)**2 + 1. 50*sqrt(2) + 5838 Simplify (5*sqrt(144)/((sqrt(8)*-1 - sqrt(8))*5) + -5 + 6*(sqrt(1800)*1 - sqrt(1800)))**2. 15*sqrt(2) + 59/2 Simplify sqrt(176)*1*-6*5*5 + ((3*sqrt(176)*2 + sqrt(176))**2 + 4)*-1 + 2. -8626 - 600*sqrt(11) Simplify ((sqrt(56) + sqrt(392)/(sqrt(7)*-2))/(sqrt(392) + 2*sqrt(392) + sqrt(8)))**2 - ((2*sqrt(84))/sqrt(12) + (sqrt(56)*-1 + sqrt(56))/sqrt(8) + 1). -2*sqrt(7) - 1929/1936 Simplify 2 + ((sqrt(2160)/sqrt(12))**2 - sqrt(50)/(sqrt(20)/sqrt(2))) + (sqrt(35)/(-2*sqrt(7)) - (2 + sqrt(5)*2 - sqrt(5))) + 4. -5*sqrt(5)/2 + 184 Simplify (sqrt(63)/sqrt(144) + -3)**2 - (-6*(sqrt(7) + -1) - ((sqrt(7) + -1 - sqrt(7)) + 2)) - ((-1*-4*(sqrt(7) - sqrt(896)/sqrt(8)))**2 + 3). -16105/16 + 9*sqrt(7)/2 Simplify -5 + (-1*-4*sqrt(45))/sqrt(9) + -1 + (5 + sqrt(125))**2*-3. -456 - 146*sqrt(5) Simplify (sqrt(4) + (sqrt(4) - 3*sqrt(4)*5) + sqrt(36)/sqrt(441))/(-5*sqrt(12)/sqrt(6)*-2*-2). 9*sqrt(2)/14 Simplify ((sqrt(539) - sqrt(539)*3) + -3 - (5 + (sqrt(539) + 1)**2)) + (-6*-1*((sqrt(539) - (1 + 1 + sqrt(539))) + sqrt(539)))**2. -1036*sqrt(11) + 19000 Simplify ((1*(sqrt(228) + -1*sqrt(228)))/sqrt(12) + 3 + 0 + sqrt(931))**2 - (-1*sqrt(228)*5 + sqrt(228))/((sqrt(60)*-1)/sqrt(5)). 38*sqrt(19) + 940 Simplify ((2*((-2*sqrt(95) - sqrt(95)) + sqrt(95)) + -2*sqrt(95)*3)*-3)/((2*sqrt(3520))/(sqrt(44)*-1)) + 3. -15*sqrt(19)/4 + 3 Simplify (sqrt(162) - (sqrt(162) - (sqrt(162) + -1)**2*-2) - (5 + 1 + sqrt(162) - sqrt(162)) - ((-5 + 0 + sqrt(162) - sqrt(162)) + -3)**2) + 5 + 2. -389 + 36*sqrt(2) Simplify 2*(2*3*sqrt(90)/sqrt(2)*4)/((-5*sqrt(864))/(sqrt(216) - (-2*sqrt(216) - sqrt(216)))). -288*sqrt(5)/5 Simplify ((-4*((sqrt(117) + 2)**2 + sqrt(117))*6 - ((sqrt(117) - (1 + sqrt(117)) - sqrt(117)) + -1 - 2*sqrt(117)*1)) + -4)*3. -8718 - 1053*sqrt(13) Simplify -4 + -4 + (-1 + ((sqrt(891) + -1)*3)**2)*1 + 1. -162*sqrt(11) + 8020 Simplify -5*((6*sqrt(125) - (sqrt(80) + -2 - sqrt(5))) + ((-2*sqrt(495))/sqrt(11))/(sqrt(81)/sqrt(81))). -105*sqrt(5) - 10 Simplify (-4*6*sqrt(85)*1*3)/(((sqrt(660)*-2)/sqrt(12))/(2*sqrt(176) + sqrt(11)))*-3. -972*sqrt(17) Simplify (2*(1*sqrt(196) - sqrt(49)) - -1*sqrt(7056)*2)/(1*2*sqrt(1008) + (sqrt(77)/(sqrt(11) + sqrt(99)) - sqrt(28)*-5)). 104*sqrt(7)/137 Simplify -4*((sqrt(84) - sqrt(84)*1*5)*6*3)/(6*-3*sqrt(48)*3). -8*sqrt(7)/3 Simplify 4*((sqrt(99) + -2*sqrt(99))*4*4)/((sqrt(180)/sqrt(4))/sqrt(5) + (sqrt(135)/sqrt(3))/sqrt(5)). -32*sqrt(11) Simplify (sqrt(162) + 1 + -1 + sqrt(162)*-1 + 5)**2 + ((sqrt(162) - (1 + sqrt(162))*-5) + 1*sqrt(162)*2 + -2)**2. 432*sqrt(2) + 10402 Simplify (-3*sqrt(504) + -1*sqrt(1134))/(((sqrt(28) + (sqrt(28) - sqrt(700)) - sqrt(28))*-6)/(sqrt(44)/(sqrt(11)*2))). -9*sqrt(2)/16 Simplify (((sqrt(84) - sqrt(84)*1)*1 - 2*sqrt(84)*-3)*-4)/(5*4*1*sqrt(972)). -2*sqrt(7)/15 Simplify -2 + (sqrt(65) - (sqrt(65) + sqrt(65)*-2 - sqrt(65))*5)/(sqrt(5)*-1*1) + -5*(sqrt(13) - sqrt(117)*1)**2 + 0 + sqrt(832) + -1. -263 - 3*sqrt(13) Simplify ((sqrt(1008) - ((-4 + sqrt(1008))*-6 + sqrt(1008)) - 3*(-2 + sqrt(1008))) + (-5*sqrt(1008)*1 - sqrt(1008) - 4*4*sqrt(1008)))**2. 8208*sqrt(7) + 364212 Simplify (-5 + (sqrt(162)*2)**2 + 4 + -4 + 5)*-6. -3888 Simplify (-2 + 6*((sqrt(2736) - ((sqrt(2736) - (sqrt(2736) + 1 + sqrt(2736))*3) + sqrt(2736)) - sqrt(2736) - sqrt(2736)) + sqrt(2736)) + 2 + -2)**2*2*-5*-6. 552960*sqrt(19) + 94571520 Simplify ((5 + (2 + sqrt(720) + 2 - sqrt(720)))**2 - (3 + 1*sqrt(720)*-2)**2)*-1. -144*sqrt(5) + 2808 Simplify (sqrt(66) - (sqrt(66)*1 + sqrt(66) + sqrt(66))*1)/(sqrt(150)*-6) - ((sqrt(198
{ "pile_set_name": "DM Mathematics" }
2 divide l? False Let q be (-48)/(-21) + (-4)/14. Suppose q*g + 240 = 7*g. Does 24 divide g? True Let z be (-8)/24*(1 - 7). Suppose z*b = -5*f + 72, -5*b = -2*f - 3*f - 180. Is b a multiple of 9? True Let t(z) be the third derivative of z**5/60 - 11*z**4/24 + 13*z**3/6 - 5*z**2. Is 3 a factor of t(11)? False Suppose 3*t - 2*h = 8, t = 3*t - 3*h - 12. Suppose t = -0*y + y. Is 10*(54/15 - y) a multiple of 18? True Let d(y) = 5*y**2 - 7*y + 6. Is d(5) a multiple of 14? False Let m(w) = 6 + w**2 - 2*w + 0*w + 3*w. Suppose 4*g = g - 3, -4*q + 1 = -g. Does 6 divide m(q)? True Let z(v) = -9*v**3 - v**2 + v + 1. Let h be z(-1). Let m be 4/16 - (-366)/h. Let g = m + -28. Is g a multiple of 18? True Suppose -30 = 33*l - 35*l. Does 4 divide l? False Suppose o = 5*o + 8, -5*j = -3*o - 931. Suppose -4*c = c - j. Is c a multiple of 16? False Suppose -11*z + 817 = -514. Is 27 a factor of z? False Let a(l) = -7*l + 10. Let g be a(4). Let n = 47 + g. Does 6 divide n? False Suppose 0*b - b + 84 = 2*u, 5*u - b = 217. Suppose 3*f + 5*o + 25 = 0, -8 = -5*f + 2*o + 2. Suppose -m = -f*m - u. Is m a multiple of 15? False Let w be (-33)/6 + 3/2. Let g(u) = -u**3 - 2*u**2 + 5*u + 4. Does 8 divide g(w)? True Suppose -2*f = -0*f + 6. Let x be f*((-16)/6 + 2). Is 4 a factor of 1*x + 35/5? False Suppose -30 = -9*q + 8*q. Let t = -16 + q. Is 7 a factor of t? True Let n(k) = -k**2 + 2*k + 3. Let y be n(3). Suppose -h + 6*h - 175 = y. Suppose 2*j = 1 + h. Is j a multiple of 9? True Suppose 3*o - 4*o - 16 = 4*p, -3*p + 2*o = 23. Is 40/6*(-6)/p a multiple of 7? False Let x(u) = 7*u + 1. Let o be x(1). Let v = -3 + o. Is v/(2/(-4)*-2) a multiple of 2? False Let b(u) = 3*u - 1. Let w be b(1). Suppose -w*f + 23 + 23 = 0. Does 17 divide f? False Suppose 3*z + 140 = 2*y + 2*y, 0 = -4*y - 5*z + 172. Let o = -27 + y. Does 7 divide o? False Let k = -3 - 1. Let f(c) = -c**2 - 6*c - 6. Let w be f(k). Suppose 0 = -w*t + 52 + 20. Is t a multiple of 12? True Let y be (-15)/10*(-20)/6. Let d be 1/y - 478/(-10). Suppose c - d = -c. Does 12 divide c? True Let k(c) = -c - 4. Let u(r) = r - 2. Let n be u(-9). Is k(n) a multiple of 3? False Let w = -16 - -51. Does 7 divide w? True Suppose -3*z = 0, 50 - 150 = -2*o + 4*z. Is 3 a factor of 2/(-6) - o/(-6)? False Let b(l) = 2*l + 6. Let u be b(-4). Let q = u + 9. Is 2 a factor of q? False Suppose -200 = -f - f. Suppose 0 = 8*t - 3*t - f. Is t a multiple of 20? True Let p = -28 - -11. Let d = p + 25. Does 4 divide d? True Suppose 4*s - 3*x = -0*s - 52, s + 2*x = -2. Let w = 55 - 29. Let p = w + s. Does 7 divide p? False Suppose -4*p - 5 = 23. Let c(a) = a**3 - a**2 - 4*a - 2. Let b(f) = -3*f**3 + 4*f**2 + 13*f + 7. Let y(r) = p*c(r) - 2*b(r). Is 8 a factor of y(-3)? False Let q = 18 - -15. Is 8 a factor of q? False Let a(z) = -3*z**3 + z**2 - 6*z + 5. Let c(s) = 2*s**3 + 3*s - 3. Let m(d) = 3*a(d) + 5*c(d). Is m(-3) a multiple of 9? True Let t(m) be the first derivative of 9*m**2/2 + 9*m - 2. Let o be t(-6). Is 7 a factor of ((-16)/(-10) + -2)*o? False Suppose j + 18 + 30 = 0. Suppose -2*r + 4*r = -156. Let x = j - r. Is x a multiple of 14? False Is 40 a factor of (-2394)/(-15) - (-4)/10? True Suppose 0*m - 5*m + 10 = 0. Suppose 4*v - 18 = 3*r, -2*v + 0*v - m*r = -2. Is v a multiple of 3? True Suppose 0 = 4*r - 5*u - 270, 4*r + r = -2*u + 354. Does 14 divide r? True Suppose a + 3 = -3*b - 1, 0 = 3*a - 5*b - 30. Suppose -r - 228 = -a*u - 32, -3*u + 121 = -4*r. Is u a multiple of 13? True Suppose 5*r + 3*w - 24 = -9, -5*w = r + 19. Let x be ((-22)/3)/((-2)/3). Let a = x - r. Is a a multiple of 4? False Suppose 8*t - 112 = 7*t. Is 28 a factor of t? True Let u be (-1074)/15 - (-6)/(-15). Is (u/10)/3*-15 a multiple of 12? True Suppose -2*l = -5*y - l + 450, 5*y = 4*l + 435. Suppose q - 5*u - 1 = 6, 3*u - y = -5*q. Does 9 divide -3 + q - (-1 - -1)? False Let j(k) = 9*k + 7. Does 8 divide j(3)? False Let t be 137/(-9) + 4/18. Let i be 5*((-81)/t + 1). Suppose 0 = 2*d - d - i. Is 10 a factor of d? False Suppose 0 = -2*m, w - 3*w + m = -16. Let n(p) = -p**3 + 9*p**2 - 8*p + 11. Let x be n(w). Let z = 12 + x. Is z a multiple of 11? False Let k(g) = -22*g**3 + g**2 + g - 1. Let z be k(1). Let o = -3 - z. Is 9 a factor of o? True Suppose 5 = -j + v - 5, -2*j = -4*v + 26. Let z = -5 - j. Suppose z*b = -2*b + 40. Is 5 a factor of b? True Is 10 a factor of 3 - 4 - (-13 - 1)? False Let r(x) = 2*x - 4. Let s be r(-2). Let w = s + 32. Does 8 divide w? True Suppose 3*x = 22 + 38. Is 20 a factor of x? True Suppose -3*x + 2*x = 3*g - 21, -5*g - x + 33 = 0. Suppose -g*n + 3*n + 45 = 0. Is n a multiple of 5? True Suppose 2*f - 32 = -2. Suppose 40 = 3*b + 4*n, -4*n = 2*b + n - f. Does 8 divide b? False Is 14*(-4)/(-4)*1 a multiple of 9? False Is (-140)/(1 + -3) + 1 a multiple of 21? False Let x be ((-5)/20)/((-2)/40). Suppose n - 12 = x*n. Is 20 a factor of ((-111)/6)/(n/6)? False Suppose m + 2*m = 15. Suppose -v - 3 + 15 = 0. Let k = m + v. Is 17 a factor of k? True Let k be (0/4 - 0)/(-1). Suppose -5*z - 4*w + 2*w + 142 = k, 3*w = -z + 18. Does 10 divide z? True Let l(k) = k - 2. Let a be l(3). Let t be (2 - a)/(1/23). Let j = t - 11. Is 12 a factor of j? True Let g = -2 - -23. Is (g/(-9) - -3)*27 a multiple of 5? False Let h = 58 + -14. Is 22 a factor of h? True Let c be 2/(1 - -1) - -86. Let u = 29 + -26. Suppose -j - u*a = -35, -2*j + c = a + 7. Is j a multiple of 16? False Let w = -3 - 0. Let n be (-3)/3*-5 + w. Suppose 4*l + 72 = 2*f - 14, n*l = 5*f - 223. Does 12 divide f? False Suppose 287 = 5*v - 188. Does 19 divide v? True Let z(y) = 13*y - 42. Is 13 a factor of z(9)? False Suppose -57 = -b + 5*o, -o = -6*o. Let l = -31 + b. Is 13 a factor of l? True Suppose 3*d - 6 = 0, -3*z + 4*z + 4*d - 100 = 0. Suppose o + z = 2*j, 76 = 4*j - o - 104. Does 11 divide j? True Let f(u) = u + 16. Is f(12) a multiple of 12? False Let a(i) = i**3 - 10*i**2 - 9*i + 5. Let r be a(11). Let t be (-2)/((-2)/4 + 0). Is 15 a factor of r*(t + -2)/2? False Suppose -3*s - 1214 = 4*h, 4*s + 2*h + 404 = 3*s. Let w = s - -290. Is 5 a factor of 12/(-42) + w/(-14)? False Let a = -10 + 0. Is 3 a factor of (12/a)/((-4)/10)? True Let a(o) = -o**2 - 4*o - 1. Let q be (-10)/(-35) - (-32)/(-14). Let g be a(q). Suppose g*m = 7 + 5. Is 2 a factor of m? True Suppose m - 10 = -11. Is m - (26 + -1)*-2 a multiple of 11? False Is (-228)/(-15) + 1/(-5) a multiple of 5? True Suppose 0 = 4*q - 4*l + 116, -4*q - l = -3*q + 21. Let v = 43 + q. Does 10 divide v? False Let q(i) = -7*i**3 + 2*i**2 + 4*i + 3. Let r(v) = -20*v**3 + 5*v**2 + 12*v + 9. Let c(o) = -8*q(o) + 3*r(o). Is c(-3) a multiple of 30? True Suppose q - 5*t = -0*q - 16, -5*t - 46 = q. Let m = -14 - q. Suppose f - 21 = m. Is f a multiple of 12? False Let k be 9/(-1 + 6/5). Suppose r - 2*y = k, 2*r - 57 = y + 33. Is 16 a factor of r? False Let h(p) = p**2 - 7*p + 10. Does 3 divide h(11)? True Let f = 6 - -5. Suppose -f = -j + 11. Is j a multiple of 12? False Is 23 a factor of 24838/88 - 1/4? False Let r be 0/(-3) + 3 + -10. Let x = 5 + r. Let f(k) = -10*k - 1. Is 12 a factor of f(x)? False Is (-120)/(-25)*80/6 a multiple of 32? True Let b(w) = w - 11 + w**2 + 11 + 0*w**2. Is 2 a factor of b(1)? True Let l be (-1 - 0)*3 + 128. Suppose l = -0*q + 5*q. Does 23 divide q? False Let q = -10 - 1. Let z = q + 29. Is 6 a factor of z? True Let o(g) = 5*g**2 + 8*g - 31. Is 50 a factor of o(-10)? False Let r = 4 - 3. Let b = 2 - 13. Let x = r - b. Does 6 divide x? True Let q = 185 - 74. Is 17 a factor of q? False Let n be (-1)/((-2)/1)*2. Let a(f) = n - 4 + 4*f**2 + 4 - f. Does 2 divide a(1)? True Suppose -5 = 5*b + 4*f + 12, 0 = 3*f + 9. Let p(g) = 220*g**2. Let d be p(b). Suppose u + 4*u = d. Does 16 divide u? False Let q(o) = 4 - 2 - 5 + 2*o + 4. Let x be q(5). Let p = 45 - x. Does 19 divide p? False Let s = 63 + -40. Is s a multiple of 19? False Suppose 4*u = -2*w + 10, -2*w - u + 2*u = -10. Suppose -5*r = -3*m + 2*m + 51, 25 = -w*r. Does 13 divide m? True Let w(l) = l**3 + 6*l**2 - 2*l + 4. Let b be w(-6). Let j = b + -14. Is j a multiple of 2? True Let r(d) = -6*d**3 + 6*d**2 - d + 1. Let n(m) = -5*m**3 + 5*m**2 - m + 1. Let p(a) = -3*n(a) + 2*r(a). Is 3 a factor of p(2)? False Let z(g) = -g**3 - 2*g**2 + 2*g + 44. Is z(0) a multiple of 11? True Suppose
{ "pile_set_name": "DM Mathematics" }
0 (base 2) in base 14? -76 What is -85 (base 16) in base 15? -8d What is 163 (base 11) in base 5? 1230 -20 (base 12) to base 3 -220 Convert -11 (base 4) to base 7. -5 Convert 64 (base 8) to base 15. 37 What is 113 (base 5) in base 13? 27 9 (base 12) to base 4 21 What is 10 (base 5) in base 11? 5 What is 104 (base 9) in base 8? 125 What is b (base 13) in base 15? b 20 (base 6) to base 13 c Convert 67 (base 9) to base 8. 75 What is 3 (base 9) in base 4? 3 Convert 6 (base 14) to base 7. 6 What is 1201 (base 4) in base 15? 67 1 (base 16) to base 12 1 -4a (base 15) to base 8 -106 What is -1 (base 14) in base 12? -1 What is c (base 16) in base 5? 22 21 (base 7) to base 13 12 Convert -5 (base 11) to base 15. -5 What is 0 (base 15) in base 3? 0 What is 7 (base 11) in base 13? 7 Convert 11 (base 12) to base 3. 111 Convert 10 (base 8) to base 4. 20 What is 25 (base 7) in base 5? 34 What is -b (base 16) in base 7? -14 What is 1103 (base 4) in base 12? 6b Convert -1 (base 16) to base 13. -1 Convert 4a (base 15) to base 9. 77 Convert -57 (base 9) to base 16. -34 Convert -3 (base 7) to base 12. -3 -41 (base 12) to base 5 -144 What is -1 (base 5) in base 3? -1 Convert 1 (base 12) to base 3. 1 Convert 1b (base 13) to base 11. 22 What is 1 (base 4) in base 2? 1 0 (base 16) to base 11 0 -1001 (base 2) to base 5 -14 Convert -35 (base 7) to base 15. -1b Convert -7 (base 10) to base 14. -7 -144 (base 6) to base 5 -224 -160 (base 7) to base 15 -61 What is 10 (base 16) in base 3? 121 What is -10 (base 2) in base 5? -2 Convert -ab (base 14) to base 2. -10010111 What is 0 (base 2) in base 3? 0 What is -11 (base 3) in base 13? -4 What is -e (base 16) in base 4? -32 -19 (base 14) to base 7 -32 Convert 100110 (base 2) to base 12. 32 -d (base 14) to base 4 -31 -22 (base 8) to base 2 -10010 What is -143 (base 10) in base 6? -355 Convert -4 (base 10) to base 9. -4 What is 2 (base 5) in base 9? 2 10 (base 5) to base 9 5 Convert -10 (base 3) to base 9. -3 174 (base 11) to base 5 1302 What is -2 (base 11) in base 14? -2 What is -405 (base 10) in base 15? -1c0 Convert 2a (base 15) to base 16. 28 Convert -1 (base 10) to base 12. -1 16 (base 9) to base 5 30 What is 221 (base 4) in base 5? 131 Convert -2 (base 16) to base 12. -2 -7 (base 11) to base 7 -10 11 (base 3) to base 8 4 -51 (base 8) to base 2 -101001 What is 18 (base 14) in base 2? 10110 Convert 8 (base 11) to base 6. 12 -34 (base 5) to base 3 -201 Convert -53 (base 7) to base 11. -35 11 (base 13) to base 8 16 1 (base 10) to base 13 1 122 (base 3) to base 9 18 What is 114 (base 7) in base 14? 44 What is -433 (base 6) in base 14? -bb Convert -2f (base 16) to base 14. -35 -3 (base 6) to base 15 -3 -537 (base 8) to base 16 -15f What is -3 (base 14) in base 10? -3 What is -11 (base 2) in base 5? -3 Convert 7 (base 11) to base 14. 7 Convert -2 (base 9) to base 3. -2 2 (base 10) to base 9 2 Convert 27 (base 14) to base 7. 50 204 (base 8) to base 5 1012 3 (base 6) to base 16 3 Convert -223 (base 5) to base 9. -70 11 (base 11) to base 12 10 What is 1 (base 6) in base 14? 1 What is 4 (base 7) in base 9? 4 Convert 37 (base 9) to base 13. 28 Convert -100000 (base 2) to base 6. -52 Convert 51 (base 8) to base 2. 101001 7 (base 11) to base 14 7 Convert -3 (base 4) to base 9. -3 What is 0 (base 6) in base 2? 0 Convert -3 (base 15) to base 12. -3 1 (base 4) to base 5 1 Convert -132 (base 5) to base 4. -222 45 (base 7) to base 2 100001 What is -10 (base 5) in base 13? -5 2 (base 16) to base 9 2 What is -4 (base 6) in base 12? -4 What is -2 (base 8) in base 11? -2 Convert 203 (base 5) to base 15. 38 Convert -6 (base 8) to base 9. -6 -32 (base 9) to base 5 -104 -2 (base 7) to base 14 -2 What is 11113 (base 4) in base 6? 1331 3 (base 16) to base 15 3 What is -3 (base 8) in base 14? -3 Convert 22 (base 3) to base 12. 8 Convert -20 (base 11) to base 12. -1a Convert 1 (base 14) to base 2. 1 -30 (base 4) to base 14 -c 11 (base 6) to base 10 7 Convert -52 (base 16) to base 12. -6a -1040 (base 7) to base 14 -1c7 -2 (base 9) to base 11 -2 Convert 2 (base 9) to base 6. 2 2 (base 15) to base 14 2 52 (base 13) to base 14 4b What is 7 (base 12) in base 15? 7 Convert -2a (base 13) to base 12. -30 Convert 5 (base 7) to base 12. 5 Convert -20 (base 8) to base 7. -22 What is -1102 (base 3) in base 7? -53 Convert 14 (base 8) to base 12. 10 Convert 70 (base 16) to base 8. 160 What is 4 (base 8) in base 14? 4 What is 213 (base 12) in base 6? 1223 What is 1b (base 16) in base 4? 123 What is 0 (base 15) in base 16? 0 1010 (base 5) to base 14 94 -123 (base 4) to base 8 -33 What is 0 (base 7) in base 5? 0 What is 4 (base 8) in base 14? 4 What is 26 (base 11) in base 15? 1d Convert -2110 (base 3) to base 14. -4a Convert -33 (base 6) to base 7. -30 2 (base 9) to base 11 2 What is 37 (base 16) in base 14? 3d What is 3 (base 5) in base 2? 11 -b (base 14) to base 12 -b -100 (base 2) to base 10 -4 What is 157 (base 14) in base 2? 100010001 What is 31 (base 4) in base 7? 16 554 (base 7) to base 6 1152 0 (base 12) to base 8 0 1011 (base 3) to base 7 43 Convert 3 (base 16) to base 8. 3 What is -3 (base 7) in base 6? -3 Convert 53 (base 11) to base 9. 64 -20 (base 4) to base 12 -8 What is 4 (base 10) in base 9? 4 Convert -13 (base 4) to base 16. -7 Convert 0 (base 9) to base 13. 0 35 (base 6) to base 8 27 -1 (base 9) to base 3 -1 -6 (base 8) to base 3 -20 2 (base 3) to base 11 2 Convert -6 (base 8) to base 15. -6 -a1 (base 11) to base 9 -133 -42 (base 6) to base 14 -1c What is -16 (base 9) in base 4? -33 Convert 2 (base 6) to base 15. 2 Convert 25 (base 10) to base 9. 27 -2 (base 6) to base 9 -2 Convert 2 (base 8) to base 4. 2 Convert -23 (base 11) to base 4. -121 What is -d (base 15) in base 2? -1101 -7 (base 9) to base 3 -21 What is 135 (base 6) in base 10? 59 Convert -11000 (base 2) to base 9. -26 -7 (base 10) to base 15 -7 56 (base 11) to base 9 67 99 (base 12) to base 16 75 Convert 21 (base 3) to base 8. 7 Convert -19 (base 10) to base 5. -34 What is 5c (base 13) in base 16? 4d -4 (base 6) to base 11 -4 What is -1 (base 4) in base 8? -1 Convert -61 (base 7) to base 2. -101011 What is -b (base 14) in base 7? -14 What is -12 (base 5) in base 16? -7 10 (base 5) to base 11 5 What is 6 (base 15) in base 2? 110 What is 235 (base 7) in base 2? 1111100 What is -89 (base 10) in base 13? -6b Convert -142 (base 6) to base 4. -332 0 (base 15) to base 5 0 -3 (base 13) to base 15 -3 What is 50 (base 9) in base 15? 30 What is -2 (base 13) in base 15? -2 What is -1011 (base 2) in base 7? -14 Convert -11 (base 2) to base 8. -3 Convert 102 (base 4) to base 12. 16 What is 0 (base 16) in base 12? 0 -2 (base 4) to base 13 -2 1 (base 10) to base 12 1 What is -51 (base 16) in base 11? -74 What is -5 (base 7) in base 5? -10 Convert 216 (base 7) to base 3. 11010 6 (base 9) to base 14 6 Convert 114 (base 15) to base 6. 1044 -2 (base 11) to base 2 -10 Convert 32 (base 4) to base 10. 14 -239 (base 12) to base 15 -173 Convert 13 (base 8) to base 15. b 1 (base 16) to base 6 1 Convert -17 (base 16) to base 9. -25 Convert -100000 (base 2) to base 4. -200 Convert -2 (base 10) to base 7. -2 -245 (base 6) to base 7 -203 1 (base 12) to base 10 1 What is -51 (base 8) in base 15? -2b Convert 1 (base 14) to base 3. 1 Convert 7 (base 16) to base 9. 7 What is -b4 (base 16) in base 15? -c0 Convert -12 (base 3) to base 8. -5 Convert -1021 (base 3) to base 2. -100010 What is -1 (base 10) in base 8? -1 1 (base 9) to base 5 1 Convert 100 (base 4) to base 6. 24 Convert 53 (base 6) to base 8. 41 Convert 3 (base 4) to base 12. 3 Convert 1b (base 12) to base 3. 212 -11 (base 14) to base 6 -23 What is a (base 15) in base 16? a Convert 5 (base 8) to base 3. 12 What is -98 (base 11) in base 6? -255 Convert -1 (base 5) to base 7. -1 What is -11 (base 2) in base 3? -10 What is -38 (base 10) in base 3? -1102 What is 313 (base 4) in base 3? 2001 4 (base 15) to base 5 4 -1 (base 10) to base 15 -1 Convert -3 (base 7) to base 5. -3 What is 113 (base 4) in base 13? 1a Convert -4 (base 5) to base 4. -10 -42 (base 15) to base 10 -62 54 (base 11) to base 14 43 -1 (base 4) to base 7 -1 What is 14 (base 16) in base 2? 10100 Convert -2 (base 8) to base 13. -2 40 (base 7) to base 16 1c 1 (base 12) to base 6 1 What is -10010000 (
{ "pile_set_name": "DM Mathematics" }
common divisor of j and g? 12 Let r(x) = 2*x**2 + 10*x + 28. Let a be r(-5). What is the greatest common factor of a and 16? 4 Let t be (-5 + 136/(-4))*-1. What is the greatest common divisor of 312 and t? 39 Let p(z) = -19*z + 1. Let s be p(-1). Suppose -3*j + s + 7 = 0. What is the greatest common divisor of j and 9? 9 Let z(l) = l**3 - 3*l**2 - l. Let i be z(4). Let n be (1*i)/(4/10). What is the highest common factor of n and 12? 6 Suppose 3*w + 7 = 70. Suppose 2*j + 4*t = t + 2, -3*t - 5 = j. Let z(n) = 2*n - 11. Let p be z(j). What is the highest common divisor of p and w? 3 Suppose 3*u - 4 = -2*b, 3 = 5*b - 2*u - 45. What is the greatest common divisor of 88 and b? 8 Suppose -27 = -3*n + 5*g, 2*n = -2*n - g + 13. Suppose n*a = -35 - 33. Let z = 34 + a. Calculate the highest common factor of 68 and z. 17 Let q(g) = 9*g**2 + g - 7. Let p be q(3). Calculate the highest common divisor of 11 and p. 11 Let n(b) = -b**2 + 6*b - 2. Let p be n(6). Let d be 1/(p/(-144)*4). Calculate the highest common factor of 9 and d. 9 Let m(k) = 2*k**3 + 8*k**2 + 5*k - 7. Let n be m(-5). Let y = n - -152. Suppose -y = -0*w - 5*w. Calculate the highest common factor of 2 and w. 2 Let z = 27 + -15. Let d(c) = -c**3 + 6*c**2 + 3*c + 6. Let y be d(6). Calculate the highest common factor of z and y. 12 Let o(i) = -i + 9. Let y be o(5). Suppose y*t = 8*t + 2*u - 376, -5*t = 4*u - 476. Calculate the greatest common divisor of t and 23. 23 Let g = -96 + 120. Calculate the greatest common factor of g and 8. 8 Let x(d) = d**3 + 21*d**2 + 16*d - 23. Let c be x(-20). What is the greatest common factor of 19 and c? 19 Let y = 12 - 9. Let d(b) = 5*b**2 - b - 2. Let f be d(y). What is the highest common factor of 5 and f? 5 Let g(t) = t**3 - 8*t**2 + 5*t + 4. Let h be g(8). Calculate the highest common divisor of 11 and h. 11 Suppose f - 4 = -3. Calculate the greatest common divisor of 5 and f. 1 Let u be 3/5 + (-107)/(-5). Calculate the greatest common factor of 33 and u. 11 Suppose 0*j + 50 = 2*j. Calculate the highest common factor of j and 125. 25 Let k = 17 + -10. Calculate the greatest common divisor of 35 and k. 7 Suppose 6*p = 3*p + 33. What is the highest common factor of 11 and p? 11 Let s be (12/9)/(4/414). Suppose -2*o = k - 91, -3*k = 3*o - k - s. What is the highest common factor of 11 and o? 11 Let c(w) = -w - 6. Let m be c(-12). Calculate the highest common factor of 54 and m. 6 Suppose -120 = 10*j - 13*j. Calculate the highest common divisor of 60 and j. 20 Let j(b) = 3 - 4*b + 0*b + 3*b. Let w be j(-6). Calculate the greatest common factor of 1 and w. 1 Let o = 35 - -133. Calculate the greatest common divisor of o and 28. 28 Let x(s) = -2*s + 27. Let u be x(5). Calculate the highest common divisor of u and 187. 17 Let w = 37 - -59. Let p be ((-2 - 1) + 2)*-12. Calculate the highest common factor of p and w. 12 Let w be ((-4)/5)/((-1)/(-5)). Let x be w/((-4)/(-11)) - -2. Let c = x - -19. Calculate the greatest common factor of c and 5. 5 Suppose 5*d + x - 20 - 9 = 0, -d + 11 = -5*x. What is the greatest common divisor of 6 and d? 6 Suppose 17 = -2*k - 19. Let g = 35 + k. Calculate the greatest common factor of g and 68. 17 Suppose -3*z = 11 + 4. Let q = z - -6. Let b = q - -5. What is the greatest common divisor of 18 and b? 6 Let w = 30 + -20. What is the greatest common factor of 25 and w? 5 Let c be (-3)/1*(-1 - -19). Let h be (-101)/9 - 12/c. Let a be (0 - -1)/((-1)/h). Calculate the highest common factor of a and 11. 11 Let r = 6 - -1. Let b = r + 2. Let o = 165 - 84. Calculate the highest common divisor of o and b. 9 Suppose -24 = m - 4*m. Suppose -m = -4*x + 76. Calculate the highest common divisor of 3 and x. 3 Suppose -10*q = -14 - 106. Let g = 97 + -44. Let w = 89 - g. What is the highest common factor of w and q? 12 Suppose 2*d - 68 - 2 = 0. Calculate the highest common factor of 140 and d. 35 Let a = 16 - 10. Let y(t) = a*t + 1 - 74*t - 34*t + 7*t. Let f be y(-1). What is the highest common factor of 12 and f? 12 Let w be (-4)/(-1 - 1) + 19. What is the highest common divisor of 84 and w? 21 Let s(j) = -j**3 - 8*j**2 - 7*j + 2. Let n be s(-7). Suppose -5*x + 13 = p + n*p, -2*x = -5*p - 30. Calculate the greatest common divisor of x and 2. 1 Let i = 40 - 0. Let v be (45/(-20))/((-3)/i). What is the greatest common factor of 10 and v? 10 Suppose r + 0*d - d - 30 = 0, -3*r + 2*d = -90. Suppose 0 = 4*x + x - 55. Suppose -u = -1 - x. What is the highest common divisor of r and u? 6 Suppose 3*j + 4*b - 618 = 0, -4*j - 4*b + 834 = -2*b. Calculate the highest common factor of 15 and j. 15 Let d = 1 + -8. Let r(y) = y**2 + 7*y + 3. Let v be r(d). Suppose v*f + b - 18 = -1, 4*f = b + 18. Calculate the greatest common divisor of f and 35. 5 Let w = -34 - -40. Calculate the highest common factor of 3 and w. 3 Let k = 2 - 5. Let r be k/((-9)/6) - -14. Let i be 26 + (3/1 - 5). What is the highest common factor of r and i? 8 Suppose 0 = 2*v - 3*j - j + 90, 0 = 4*v - 4*j + 160. Let z = v - -57. Suppose 32 = 3*r - z. Calculate the highest common divisor of r and 90. 18 Let o be 25 - 25 - (0/1 + -42). Let u = 2 + 26. Calculate the greatest common factor of o and u. 14 Suppose 0 = 2*w - 2*r - 18, -5*w - 4*r + 14 = -22. Calculate the greatest common factor of 32 and w. 8 Let h(z) = -2*z + z + 6 - 1. Let o be h(-4). Suppose 3*f + o = 3*b + 66, 0 = 4*b - 20. What is the greatest common factor of 6 and f? 6 Let c = 59 - 35. What is the highest common divisor of c and 60? 12 Let b(w) = w**3 + 5*w**2 - 4*w - 4. Let t be b(-7). Let a = 7 - t. Calculate the highest common factor of a and 9. 9 Let d(l) = -l**3 - 11*l**2 - 7*l + 4. Let p be d(-11). What is the greatest common divisor of 9 and p? 9 Let y be 3 + 4 + 12 - -2. Calculate the greatest common divisor of 231 and y. 21 Suppose -m + 15 = 2*m. What is the greatest common divisor of 40 and m? 5 Suppose 3 - 5 = -i. Let q = 31 + i. Calculate the greatest common divisor of q and 22. 11 Let b(f) = -f**2 - 13*f + 4. Let o(q) = q - 1. Let n(a) = b(a) + 6*o(a). Let d be n(-6). What is the highest common divisor of 4 and d? 4 Suppose 6 = 5*y + 1. Let k = 13 + -11. Calculate the greatest common divisor of k and y. 1 Let f(q) = -3*q + 30. Let u be f(-10). What is the greatest common divisor of 12 and u? 12 Let t(q) = 3*q**2 - q - 5. Let k be t(-5). Suppose 6 = -3*a - 24. Let r be (a/(-6))/((-1)/(-9)). Calculate the greatest common divisor of r and k. 15 Suppose 4*x + 3*i = 3 + 3, -4*i - 14 = -2*x. Suppose x*c - 4*q - 284 = -2*c, 2*q + 112 = 2*c. Calculate the highest common divisor of c and 15. 15 Let x be 0 + (-6)/2 + 22. Suppose -2*j + 13 + x = 0. Calculate the greatest common divisor of 8 and j. 8 Suppose -w + 5*d = 10*d - 10, w - 10 = 5*d. Calculate the greatest common factor of w and 90. 10 Suppose 0*z = 7*z - 63. Calculate the greatest common factor of 3 and z. 3 Suppose 34 = 3*f - 107. Let d = f + 42. Suppose 4*r = 2*r - p + 46, -d = -5*r + 4*p. What is the greatest common divisor of 14 and r? 7 Let m(d) = d**3 - 7*d**2 - 2*d + 5. Let t be m(7). Let c = t + 17. What is the highest common divisor of 64 and c? 8 Let i = 0 + 4. Suppose 98 = -l + 6*l - i*s, 0 = -2*l + 4*s + 44. What is the highest common divisor of 90 and l? 18 Suppose -6*y + 451 = 1. Let v(n) = -n**3 - n**2 - 4*n. Let r be v(-3). What is the highest common divisor of y and r? 15 Let w = -11 + 24. Suppose -2 = c - 5*s - 13, -c + 41 = 5*s. What is the greatest common divisor of c and w? 13 Let o = -16 + 23. Let h(t) = -t**3 + 9*t**2 + 4. Let m be h(9). Suppose 9 = m*w - 19. Calculate the highest common factor of w and o. 7 Let g(x) be the second derivative of -x**3/6 + 143*x**2/2 - 2*x. Let s be g(0). Suppose 2*t - 65 = -3*t. What is the highest common factor of t and s? 13 Let r(q) = -6*q + 1. Let b be r(-1). What is the greatest common divisor of 56 and b? 7 Let z be 4*(0 + (-15)/12). Let a be 872/20 + (-2)/z. What is the highest common factor of a and 4? 4 Let a(l) = l**2 + 4*l + 3. Suppose 4*y + 35 = 7*p - 2*p, -2*y = 3*p + 1. Let o be a(y). Calculate the highest common divisor of o and 4. 4 Suppose g - 3*s + 6 = 0, g - 2*s + 5 - 1 = 0. Suppose g*v = 3*v - 3. Suppose 0 = -o - o + 2. What is the greatest common factor of v and o? 1 Suppose g = 5*t - 3
{ "pile_set_name": "DM Mathematics" }
6, -5206? -5820 What is next in -16020, -112254, -368902, -866172, -1684272, -2903410, -4603794? -6865632 What is next in 6144, 23464, 52324, 92718, 144640, 208084, 283044? 369514 What is next in -994, -3624, -7912, -13876, -21534, -30904, -42004, -54852? -69466 What is the next term in -75906460, -75906459, -75906458, -75906457, -75906456? -75906455 What is next in -24582884, -49165776, -73748668, -98331560, -122914452? -147497344 What is next in -4050113, -8100227, -12150351, -16200491, -20250653, -24300843, -28351067? -32401331 What comes next: -35269794, -35269791, -35269788, -35269785? -35269782 What is the next term in 29270, 57733, 86196, 114659, 143122? 171585 What is the next term in 1286, 4759, 10562, 18725, 29278, 42251, 57674, 75577? 95990 What is the next term in 1229, -606, -2441, -4276? -6111 What is the next term in 48572, 48547, 48516, 48479, 48436, 48387? 48332 What is next in 2335, 4630, 6839, 8962? 10999 What is next in -5600, -15991, -26382? -36773 What comes next: -449901, -899788, -1349675, -1799562, -2249449, -2699336? -3149223 What comes next: 621075, 621024, 620931, 620790, 620595, 620340, 620019? 619626 What is next in -113, -376, -839, -1520, -2437, -3608, -5051? -6784 What is next in -1838059, -1837891, -1837605, -1837195, -1836655, -1835979? -1835161 What is the next term in 444064, 888038, 1331922, 1775710, 2219396? 2662974 What comes next: 320592, 320597, 320604, 320613? 320624 What comes next: 374, 247, 66, -145, -362, -561, -718, -809? -810 What is next in -18263, -75401, -170625, -303929, -475307, -684753? -932261 What is the next term in -652718, -1305414, -1958098, -2610770, -3263430? -3916078 What is next in 10836, 9220, 7600, 5976, 4348, 2716? 1080 What comes next: -17901592, -17901593, -17901594? -17901595 What is next in -43, -424, -1499, -3610, -7099, -12308, -19579, -29254? -41675 What is next in 16360, 32786, 49272, 65818, 82424, 99090, 115816? 132602 What comes next: 869979, 869969, 869959, 869949? 869939 What comes next: -14115, -56494, -127139, -226050, -353227, -508670? -692379 What comes next: 11518, 46183, 104036, 185083, 289330, 416783, 567448? 741331 What is the next term in 53519, 53658, 53797, 53936, 54075, 54214? 54353 What is the next term in -7262, -12761, -18242, -23705? -29150 What is the next term in -152884, -611594, -1376110, -2446432, -3822560, -5504494? -7492234 What is the next term in -8424814, -16849635, -25274458, -33699283, -42124110, -50548939, -58973770? -67398603 What is next in 552, 3565, 11362, 26271, 50620, 86737, 136950? 203587 What is the next term in 261013901, 522027805, 783041709? 1044055613 What comes next: -14349120, -14349122, -14349126, -14349132? -14349140 What is the next term in 8165, 34573, 78601, 140249? 219517 What is next in 129698, 259392, 389076, 518750, 648414, 778068? 907712 What is next in -4565, -9024, -12953, -16088, -18165, -18920, -18089? -15408 What is the next term in -9429689, -18859395, -28289101, -37718807, -47148513? -56578219 What is the next term in 4229, 8514, 12793, 17072, 21357, 25654? 29969 What comes next: 14668, 58749, 132236, 235129, 367428, 529133, 720244? 940761 What comes next: 245037, 245108, 245179, 245250? 245321 What comes next: 13546, -51335, -227442, -570389, -1135790? -1979259 What comes next: 1549, 3799, 6049, 8299? 10549 What comes next: -16901927, -33803857, -50705785, -67607711? -84509635 What is the next term in 22750, 90254, 202772, 360310, 562874, 810470? 1103104 What comes next: 646088242, 646088244, 646088246, 646088248, 646088250, 646088252? 646088254 What is next in -10588996, -21177982, -31766966, -42355948? -52944928 What is the next term in 1542, 1307, 920, 381, -310, -1153? -2148 What is the next term in 81, 15, -95, -249, -447, -689, -975? -1305 What is the next term in 10872, 9587, 6090, -729, -11980, -28773, -52218, -83425? -123504 What is the next term in -1821, -26768, -94481, -226344, -443741? -768056 What is next in -2644, -3471, -4292, -5101, -5892, -6659? -7396 What is the next term in 10622346, 10622375, 10622454, 10622607, 10622858, 10623231? 10623750 What is the next term in 11621051, 11621043, 11621035, 11621027, 11621019, 11621011? 11621003 What is the next term in 462669, 462516, 462259, 461898, 461433, 460864, 460191? 459414 What is the next term in 61383, 122533, 183683, 244833, 305983? 367133 What comes next: -2627, -9712, -21269, -37304, -57823, -82832, -112337? -146344 What is the next term in 1393, 5605, 12635, 22483, 35149, 50633? 68935 What is next in -9816, -19714, -29696, -39762? -49912 What is next in -5840, -9655, -13470, -17285, -21100, -24915? -28730 What is the next term in 14567, 29523, 44777, 60341, 76227, 92447? 109013 What is next in 152948, 152702, 152456, 152210, 151964, 151718? 151472 What is next in 9897799, 19795604, 29693409, 39591214, 49489019? 59386824 What comes next: -470, -911, -1326, -1721, -2102, -2475, -2846, -3221? -3606 What is next in -18517, -153643, -520407, -1234627, -2412121, -4168707? -6620203 What is the next term in 2551158, 5101895, 7652634, 10203375, 12754118, 15304863, 17855610? 20406359 What is next in -223049, -445974, -668899, -891824? -1114749 What is the next term in -2974820720, -2974820721, -2974820722? -2974820723 What is next in 339850, 679686, 1019522, 1359358? 1699194 What comes next: 7286, 30466, 69546, 124526, 195406, 282186? 384866 What comes next: -136364, -136828, -137292, -137756, -138220? -138684 What is next in -124, -1931, -5072, -9547, -15356? -22499 What comes next: 2697461, 10790008, 24277587, 43160198, 67437841, 97110516, 132178223? 172640962 What comes next: -22089, -88379, -198869, -353559, -552449, -795539, -1082829? -1414319 What is the next term in -1699896408, -1699896409, -1699896410, -1699896411, -1699896412? -1699896413 What is next in 9513884, 19027771, 28541658, 38055545? 47569432 What is the next term in -2738, -2980, -3226, -3470, -3706, -3928, -4130? -4306 What is next in 19641, 39341, 59113, 78957? 98873 What is the next term in -1237, -6822, -16167, -29272? -46137 What comes next: -18296, -18331, -18390, -18473, -18580? -18711 What is next in 38896, 66104, 93312, 120520, 147728, 174936? 202144 What is the next term in 236873591, 236873589, 236873587? 236873585 What is next in -19076252, -38152489, -57228726, -76304963? -95381200 What is next in -15836, -31199, -46562, -61925, -77288? -92651 What comes next: -3215, -12043, -26029, -44579, -67099? -92995 What is next in 176, 489, 910, 1403, 1932? 2461 What is next in -1380, -4883, -10582, -18477? -28568 What is next in -51028, -51027, -51024, -51019, -51012, -51003? -50992 What comes next: -241, 64, 591, 1340, 2311, 3504? 4919 What is the next term in -318, -1216, -2684, -4710, -7282, -10388, -14016, -18154? -22790 What comes next: -1861, -6203, -12969, -22159, -33773, -47811, -64273? -83159 What is next in 941716, 941680, 941642, 941602? 941560 What is the next term in -1101, 1235, 3575, 5919, 8267? 10619 What is the next term in -4748, -9556, -14432, -19376? -24388 What comes next: 3019, 23459, 78747, 186307, 363563, 627939, 996859? 1487747 What is next in -773, -2442, -5045, -8582, -13053, -18458? -24797 What is the next term in -4482, -3466, -2450? -1434 What comes next: -23240, -46236, -69232, -92228, -115224? -138220 What is next in -527, -5774, -20107, -48068, -94199, -163042? -259139 What is next in -12540, -12271, -11544, -10131, -7804, -4335, 504? 6941 What is next in -3850, -15339, -34522, -61405, -95994, -138295, -188314? -246057 What is the next term in -266, -944, -1868, -3038? -4454 What is next in -33890, -33934, -34052, -34280, -34654, -35210, -35984? -37012 What is the next term in -3069712, -3069720, -3069728, -3069736? -3069744 What is next in -66292, -132601, -198944, -265333, -331780, -398297, -464896? -531589 What comes next: 3134, 12539, 28400, 50867, 80090, 116219? 159404 What is next in -3956, -15821, -35590, -63263, -98840, -142321? -193706 What is next in 61734964, 123469928, 185204892, 246939856, 308674820, 370409784? 432144748 What comes next: 4562, 8974, 13372, 17762, 22150, 26542, 30944, 35362? 39802 What is the next term in -5384732, -10769587, -16154442? -21539297 What is the next term in -496, -738, -896, -928, -792, -4
{ "pile_set_name": "DM Mathematics" }
115, -30889, -32751, -34719? -36811 What is next in 8454, 33673, 75698, 134529, 210166? 302609 What is the next term in 247800, 247743, 247686? 247629 What is next in -17688652, -17688649, -17688646, -17688643? -17688640 What is the next term in -20928, -20465, -20002, -19539, -19076, -18613? -18150 What comes next: 1518, 13601, 46920, 112095, 219746, 380493? 604956 What is the next term in -2549, -3720, -5423, -7658, -10425, -13724? -17555 What is the next term in 12337111, 12337110, 12337109, 12337108? 12337107 What is next in 952, 7792, 27038, 65110, 128428, 223412? 356482 What comes next: 54, 19, -16, -51, -86, -121? -156 What comes next: 2405043526, 2405043523, 2405043518, 2405043511, 2405043502, 2405043491, 2405043478? 2405043463 What is next in 54547, 53506, 52465? 51424 What is the next term in -11285, -21852, -31675, -40760, -49113, -56740, -63647? -69840 What comes next: -156, -148, 182, 990, 2432? 4664 What comes next: 7722, 15447, 23170, 30879, 38562, 46207? 53802 What is next in 2372, 1475, 602, -235, -1024, -1753, -2410, -2983? -3460 What comes next: 2145, 8448, 18925, 33582, 52425? 75460 What comes next: -20146693, -20146698, -20146703, -20146708? -20146713 What is next in -70711, -565702, -1909249, -4525630, -8839123? -15274006 What comes next: 21013, 21005, 20987, 20959? 20921 What is the next term in 34131, 136566, 307297, 546324, 853647, 1229266, 1673181? 2185392 What comes next: 74825, 155019, 235213, 315407, 395601? 475795 What comes next: -1598, -5741, -12684, -22433, -34994? -50373 What is next in 966143, 1932722, 2899301, 3865880, 4832459, 5799038? 6765617 What comes next: 4756, 39535, 135018, 321901, 630880, 1092651? 1737910 What comes next: 3197, 6103, 8785, 11237, 13453, 15427, 17153? 18625 What is the next term in -100162120, -100162117, -100162114, -100162111, -100162108, -100162105? -100162102 What is the next term in 3782541, 7565108, 11347683, 15130266? 18912857 What is the next term in -175835, -176536, -177699, -179318, -181387, -183900, -186851? -190234 What is next in -229552, -457846, -686140, -914434, -1142728? -1371022 What comes next: 62949, 62843, 62737, 62631? 62525 What is the next term in 6399, 6498, 6597? 6696 What is the next term in -271242, -271486, -271716, -271926, -272110, -272262? -272376 What comes next: -43803, -44073, -44343, -44613, -44883? -45153 What is the next term in -167, 3300, 12705, 31018, 61209, 106248, 169105, 252750? 360153 What comes next: -321825, -321757, -321687, -321615, -321541, -321465? -321387 What is next in 35319, 141993, 319785, 568701, 888747, 1279929, 1742253, 2275725? 2880351 What comes next: -21867, -27765, -33663? -39561 What comes next: -117542, -117247, -116950, -116651? -116350 What is next in 38579, 80367, 122155? 163943 What comes next: 218499, 218529, 218583, 218661, 218763, 218889, 219039? 219213 What is next in 19755, 19434, 19111, 18786, 18459? 18130 What is the next term in 204810, 409621, 614430, 819237, 1024042, 1228845, 1433646? 1638445 What is next in -4887, -19524, -43917, -78066, -121971, -175632? -239049 What comes next: -1301309, -1301322, -1301335, -1301348, -1301361, -1301374? -1301387 What comes next: -538, -1198, -2274, -3766? -5674 What comes next: -38204, -38368, -38650, -39056, -39592, -40264, -41078? -42040 What is next in -6677, -12479, -17407, -21461, -24641, -26947, -28379? -28937 What comes next: 384237, 384218, 384187, 384144? 384089 What comes next: -110130, -110095, -110030, -109935, -109810? -109655 What is the next term in 35464, 71190, 106918, 142648, 178380, 214114, 249850? 285588 What is the next term in 30366891, 30366893, 30366895? 30366897 What comes next: 197, 314, 627, 1232, 2225, 3702? 5759 What is the next term in 11749, 23285, 34821, 46357? 57893 What is the next term in -2758, -11138, -25104, -44656, -69794, -100518, -136828? -178724 What comes next: 139208, 278422, 417646, 556880, 696124, 835378, 974642? 1113916 What is next in 9908, 9849, 9742, 9581, 9360? 9073 What is next in 2098440089, 2098440088, 2098440087? 2098440086 What comes next: -3374804, -13499146, -30373044, -53996492, -84369484? -121492014 What is next in -39513216, -39513217, -39513218, -39513219, -39513220? -39513221 What comes next: -3433622, -3433629, -3433636, -3433643? -3433650 What is next in -21644, -17522, -13366, -9158, -4880? -514 What is the next term in 11920, 95924, 324304, 769366, 1503416, 2598760, 4127704? 6162554 What is the next term in -8775, -17373, -25971, -34569? -43167 What is next in 91751, 183470, 275107, 366620, 457967, 549106? 639995 What comes next: -437, 1157, 5455, 13801, 27539, 48013? 76567 What is the next term in -15579755, -15579759, -15579765, -15579773, -15579783, -15579795, -15579809? -15579825 What comes next: 8602, 34394, 77366, 137500, 214778, 309182, 420694? 549296 What is next in -51489, -51493, -51509, -51543, -51601, -51689, -51813? -51979 What is the next term in -4407199, -8814402, -13221605? -17628808 What is next in 255294, 510921, 766548, 1022175? 1277802 What comes next: 5767, 46106, 155637, 368956, 720659, 1245342? 1977601 What comes next: 80117, 80075, 80035, 80021, 80057, 80167, 80375? 80705 What comes next: -144268, -158148, -172028, -185908? -199788 What is next in -1140997, -1140626, -1140253, -1139878, -1139501, -1139122? -1138741 What comes next: -280, -1026, -2430, -4624, -7740, -11910, -17266, -23940? -32064 What is next in 65072, 520461, 1756566, 4163747, 8132364, 14052777, 22315346? 33310431 What comes next: -2359, -9565, -21599, -38449, -60103, -86549, -117775? -153769 What is the next term in -19035, -76106, -171217, -304368, -475559, -684790? -932061 What comes next: 12598, 18671, 24742, 30811, 36878? 42943 What comes next: -18346, -18564, -18942, -19486, -20202, -21096? -22174 What is the next term in -3909287, -3909278, -3909269, -3909260? -3909251 What is next in 5048, 10092, 15160, 20288, 25512? 30868 What is next in 3184, 7268, 11348, 15424? 19496 What is next in 1203287, 2406747, 3610207, 4813667? 6017127 What comes next: -331, -2631, -8853, -20959, -40911, -70671, -112201? -167463 What comes next: 10367, 19192, 28015, 36836, 45655, 54472, 63287? 72100 What is next in 17770, 32620, 47470, 62320? 77170 What comes next: 90674, 90861, 91174, 91613, 92178? 92869 What is next in -880253, -1760537, -2640859, -3521225, -4401641, -5282113, -6162647? -7043249 What is next in -576150, -2304678, -5185580, -9218856, -14404506, -20742530, -28232928? -36875700 What comes next: -21936, -21095, -19700, -17757, -15272? -12251 What comes next: 11025, 21564, 32031, 42426, 52749? 63000 What comes next: -10928, -27331, -43734? -60137 What comes next: -11161, -21506, -31851, -42196, -52541? -62886 What is next in -782, -3494, -8028, -14390, -22586, -32622? -44504 What is the next term in -337959, -338016, -338073, -338130, -338187, -338244? -338301 What is the next term in -173596, -694459, -1562578, -2777959, -4340608, -6250531, -8507734, -11112223? -14064004 What comes next: -206511, -204171, -201831, -199491? -197151 What is next in 9609, 9680, 9737, 9780, 9809, 9824, 9825? 9812 What is the next term in 4616, 36935, 124624, 295361, 576824, 996691, 1582640, 2362349? 3363496 What is next in -15429, -12210, -8991? -5772 What is next in 38111, 76516, 114921, 153326? 191731 What is next in 363, 1590, 3919, 7584, 12819, 19858, 28935, 40284? 54139 What is next in 32, 98, 310, 746, 1484? 2602 What is next in -4589531, -4589471, -4589411, -4589351, -4589291, -4589231? -4589171 What is next in -67126, -67122, -67128, -67144, -67170, -67206, -67252? -67308 What is the next term in 200, 455, 766, 1133, 1556, 2035, 2570? 3161 What is the next term in 1130, 1142, 1150, 1148, 1130, 1090, 1022? 920 What comes next: -14677894, -14677896, -14677898? -14677900 What is the next term in -13921, -14161, -14865, -16267, -18601? -22101 What comes next: 143472, 143596, 143924, 144558, 145600? 147152 What is next in 13952, 54987, 123382, 219137? 342252 What is next in -248870, -249125, -249380? -249635 What is the next term in -151424, -607698, -1368154, -2432792, -3801612? -5474614 What is the next term in 976342, 1952687, 2929032, 3905377, 4881722, 5858067? 6834412 What comes next: -486909815, -486909816, -486909817?
{ "pile_set_name": "DM Mathematics" }
te the common denominator of m and -9/35. 315 Let a = 1327 + -1201. Calculate the smallest common multiple of a and 84. 252 What is the smallest common multiple of (-10 - -6 - 2)*(-2)/(-3 + 4) and (-330)/(-21) - 4/(-14)? 48 Suppose 2*n + 181 = -0*f + f, 0 = -3*f + 5*n + 546. Suppose -6*y - f = 29. Calculate the common denominator of y and 13/12. 12 Suppose -m + c = 4*m - 13, 0 = -5*c + 10. What is the common denominator of -37/18 and 3/6 - (114/m + 2)? 18 Let b be 2/(-11) - 15830/55. Let w = b + 2602/9. Find the common denominator of -2 + (-6)/8 + 1 and w. 36 Let r(w) = w**3 - 4*w**2 + w. Suppose -3*d = -4*d + 4*c - 5, -5*d + 13 = -c. Let h be r(d). Calculate the common denominator of 1/3*117/h and 15/2. 2 Let a(d) = 1595*d**2 + d - 1. Let x be a(1). Let u be ((-68)/(-2))/(112/(-5222)). Let z = x + u. Find the common denominator of z and 3/10. 20 Suppose 14*t = 3*t + 1386. What is the smallest common multiple of t and 14? 126 Suppose -82 - 78 = -5*c. Let i be -2 + (-4)/c*-4661. Let v = i + -568. Find the common denominator of -23/24 and v. 24 What is the common denominator of 219/(-32) + (8/(-8) - -7) and -41/104? 416 Let x be (-1)/(-3) + 2315/(-105) + 2. Let v = -953/70 - x. Find the common denominator of 27/22 and v. 110 Suppose -31 = -5*w - 1. Let y(z) = z**3 - 5*z**2 - 6*z + 5. Let a be y(w). Suppose -a - 95 = -5*j. What is the smallest common multiple of 18 and j? 180 Let n be 0 + -2 + 8 + -4. Let p be 4/n + -4 - -272. What is the common denominator of (-12)/(-4) + p/(-28) and 103/14? 14 Let l = -2959 - -44291/15. Let x = 831302 - 4970821/6. Let c = -2825 + x. Calculate the common denominator of l and c. 30 Suppose 4*n - 17 = 3*q, -n = -0*q - 2*q - 3. Suppose 4*y + 8 + 40 = t, n*y + 214 = 4*t. Suppose 5*l - t = 14. Calculate the least common multiple of l and 8. 56 Let x = 6277 + -10171. Let m = x + 39007/10. Let g = 292 + -603/2. What is the common denominator of m and g? 10 Find the common denominator of 29/9 and 6/25*(-920)/36. 45 Let g = -68357 - -144301624/2111. Let d = g - -16987/69663. Calculate the common denominator of -11/24 and d. 264 Let q = -105 + 181. Let w = q + -52. Calculate the common denominator of 107/18 and 6/(-10) + (-6)/w. 180 Suppose 0 = -4*q - q + 75. Suppose -3*r = -q + 120. Let d = 45 + r. What is the least common multiple of d and 14? 70 Suppose -2*l = -136 - 72. What is the common denominator of ((-1)/(10/l))/(-6) and (-83)/4 - (-4)/48*3? 30 Let c(a) = 6*a + 187. Calculate the smallest common multiple of c(-10) and 10. 1270 Let a be (84/8*1)/(3/4). Suppose -6 = -15*s + a*s. What is the least common multiple of s and 14? 42 Find the common denominator of 1458/(-3780)*16/3 and 59/3. 105 Let n be 12 + -8 - (1 - 1). Suppose -n*x = -10 - 6. Find the common denominator of 19/22 and ((-166)/(-12) - x)/(-1). 66 Calculate the smallest common multiple of 21 and (3/4)/((-33)/(-44)). 21 Let a = -605867/84 + 7213. Calculate the common denominator of -23/98 and a. 588 Suppose 4*w - 3 - 1 = 0. Calculate the common denominator of (46*w/2)/4 and -37. 4 Let c = -4364 + 43759/10. Let s be ((-2)/22)/((-2)/41786). Let v = -1898 + s. What is the common denominator of c and v? 110 Suppose 5*h + 4*i - 169 = 0, 5*h - 80 - 113 = 2*i. Suppose 134 = 19*a - h. What is the lowest common multiple of a and 12? 36 Let m(s) = 37*s + 228. Let c(z) = 3*z + 3. Let o be c(-3). What is the least common multiple of m(-6) and o/(-21) - (-110)/7? 48 Let p = -7215 + 129827/18. Calculate the common denominator of p and -83/26. 234 Let d = -9 - -6. Find the common denominator of (-58)/((-40)/14*21/(-9)) and (116/(-12))/(4/d). 20 Find the common denominator of (157/(-26) - -6)*47 and -111/10. 130 Let a(z) = z**2 + 29*z + 14. Calculate the smallest common multiple of 8 and a(0). 56 Suppose -5*y + 5*n = 9*n - 5, 3*y - 3*n - 30 = 0. Suppose 0 = -5*r - 5, -m = y*r - 3 - 3. Calculate the smallest common multiple of m and 7. 77 What is the least common multiple of 72 and 12*(-3 + 1 + 20)? 216 Let z be -4 + 7 - (-61658)/(-18). Let p = z - -3427. Let t = -41/52 + -919/104. Find the common denominator of p and t. 72 Find the common denominator of (7/21*-3)/(-8) and 115/198. 792 Let m = 34 + -33. Suppose 4*g + m = -5*w, 0 = 5*w - 3 + 8. Let d(u) = u**2 + 6*u + 6. What is the least common multiple of d(-5) and g? 1 Suppose -4*x = 3*o - 0*x - 67, -2*o - 5*x + 47 = 0. Calculate the smallest common multiple of 63 and o. 63 Suppose 2*b - 8 = -2*a - 12, -5*b = -4*a + 28. Let t be 4*(-1)/2*-1. Suppose t*j = 8 + 6. Calculate the smallest common multiple of j and a. 14 Let i = -124 + 43. Calculate the common denominator of 57/14 and (i/(-234))/(6/(-2)). 182 Let a be (-105 - -2)/((-2)/6). What is the common denominator of (-5)/(-90)*a - -1 and 8/(-20) - (-36)/(-35)? 42 Let l = 54239/18 - 3006. What is the common denominator of (-19135)/4386 + (-3)/((-18)/14) and l? 306 Let m(x) = -7*x - 6. Let q be m(-2). Let p = q - 0. Suppose 4*h = h + 12. What is the lowest common multiple of h and p? 8 Let q(z) = 10*z**2 + 16*z - 24. Calculate the least common multiple of q(4) and 150. 600 Let v = -136 + 788. What is the lowest common multiple of 11 and v? 7172 Let o(r) = -r + 11. Let m = -12 - -17. Suppose 5*y + 55 = m*z, -3*y - 2 = -y. What is the least common multiple of 1 and o(z)? 1 Calculate the least common multiple of 97 and 1 - 2*(5 - 6). 291 Let u = -2/14885 + 169693/29770. What is the common denominator of 43/35 and u? 70 Let r(n) = -n + 25. Let z be r(0). Suppose 3*s = z + 20. What is the smallest common multiple of 1 and 3*(0 - s/(-9))? 5 Suppose 18*b - 20 = 14*b. Suppose 0 = 5*a - b*f + 196 + 54, 5*a + 240 = 3*f. What is the common denominator of 63/5 and a? 5 Let c be (-6)/(-39) + (-243)/1326. Let y = c - 823/51. Find the common denominator of -2*(-49)/4 + 0 and y. 6 Let d be ((-3)/9)/((-2)/(-18)). What is the common denominator of (d + (-27)/(-2))/(15/(-12)) and -99/2? 10 Let w = -2144 - -278723/130. Calculate the common denominator of w and 53/182. 910 Suppose -m + n + 22 = -0*m, -5*m - 5*n = -110. Let b = 52 - -3. Suppose 2*y + 5*j = b, 4*j = 14 - 2. What is the smallest common multiple of m and y? 220 Calculate the common denominator of 68/(-14) + 4 + -6 and (-10)/75*459/12. 70 Let t = 1335475184322449/27121150008 - 2/1130047917. Let o = 49239 - t. Find the common denominator of 29/8 and o. 72 Let m be (-20)/(-6) - (-1)/(-3). Suppose o - 51 = -x + 6*o, 5*o - 133 = -m*x. Calculate the least common multiple of x and 2. 46 Let l = -16/6655 - -19105/85184. Find the common denominator of -95/224 and l. 2240 Calculate the common denominator of 43/2 and (-1365)/540 - (2 + -1). 36 Let j(s) = -3*s - 1. Let x be j(-1). Suppose 0 = b + 3*u + 1, x*b - 5*b = 3*u - 15. What is the lowest common multiple of (3/6*-9)/(3/(-8)) and b? 24 Let a = -63671/12 - -5300. Let t = -5054 + 30409/6. What is the common denominator of a and t? 12 Let o = 9625686655/378 + -25464812. Let u = -2/189 + o. What is the common denominator of u and 133/18? 18 Let n = 1165 + -1155. What is the lowest common multiple of n and 222? 1110 Let z = -28/33 + 17663/20856. Find the common denominator of z and -41/4. 632 Let s(t) = -t**2 - 48*t + 10. Calculate the lowest common multiple of s(-8) and 180. 1980 Let c = -302 - -424. Suppose 5*d + 721 = 2*s + 39, -d + 4*s - c = 0. Calculate the common denominator of -91/20 and 0 + (d/(-20) - -3). 20 Let s be -3 - 0 - (2 + -1 + -14459). Let j = 202459/14 - s. Calculate the common denominator of j and -91/54. 378 Let x = 1088/29 - 31039/522. Let i = x + 4/9. Let m = -127/7 - -827/56. Find the common denominator of m and i. 8 Suppose -d = -10*d + 108. Suppose 2*n + 5 - 7 = 0, 35 = 2*q - n. Suppose -3*j + 2*j + q = 0. Calculate the least common multiple of j and d. 36 Let i = -414 - -434. Calculate the smallest common multiple of i and 148. 740 Calculate the common denominator of 1638/(-140) - 2/15 and -131/504. 504 Let q = -141392 + 121597183/860. Find the common denominator of -31/10 and q. 860 Suppose 0 = 9*z - 157 + 1444. Let q = 487/3 + z. Calculate the common denominator of -44/5 and q. 15 Suppose 4*i - i = -2*x + 2, -x + 7 = 3*i. Find the common denominator of (2/x)/((-40)/1825) and 3/20. 20 Let o(v) = -3*v + 72. Calculate the lowest common multiple of o(14) and 7
{ "pile_set_name": "DM Mathematics" }
)/r - (-4)/(-16). What is the units digit of (t/6)/((-6)/18)? 1 Let m(o) = o**3 + 10*o**2 + 10*o - 9. Suppose -4*v = 5*h + 20, 0 = 3*h + v + 3*v + 4. What is the units digit of m(h)? 9 Let k = -10 + 8. What is the units digit of (-48)/(-20)*(-5)/k? 6 Let i(q) = -q**2 - q**3 - q + 12 - 8*q**2 - 6*q**2. What is the tens digit of i(-15)? 2 Suppose m - 98 = -2*l, 3*m - 46 = -4*l + 152. What is the units digit of l? 8 Let m = 9 + -6. Let c be (2/m)/((-2)/(-18)). Suppose r = -2*w + 7, 0 = 2*r - w + c*w - 17. What is the units digit of r? 1 Suppose -3 = -5*y + 7. Let c be 6/(-3) - (y + -2). What is the units digit of (-1)/c*(4 + -2)? 1 Suppose 2*y - 52 = -4*c, 3*c + 9 = -2*y + 48. Let x = 14 - c. What is the units digit of x? 1 Let b be ((-4)/(-10))/((-7)/(-70)). Suppose 3*z - 5*c = 15, b*z + 29 - 78 = -3*c. What is the tens digit of z? 1 Let x(h) = -h**2 + 10*h - 11. What is the units digit of x(8)? 5 Suppose 212 + 116 = 8*o. What is the units digit of o? 1 What is the tens digit of (1206/27)/(-1*1/(-6))? 6 Let c = 17 - 9. Suppose v = 5*f - c, v - 3*f = -4 - 4. What is the units digit of (-1)/(-4) + (-14)/v? 2 Suppose 0 = 5*y + 15, t - 3*y - 15 = 7. What is the units digit of t? 3 Suppose -5*z = -156 - 274. What is the units digit of z? 6 Let b(d) = -d**3 - 5*d**2 + 3*d - 4. Let p be b(-5). Let k = p + 43. Suppose 0 = -4*g - 4*v + k, 2*g - 2*v - 18 + 6 = 0. What is the units digit of g? 6 Let g(t) = -t**2 - 10*t + 3. What is the units digit of g(-10)? 3 Let z be 0 + 10 - (-4)/2. What is the units digit of 3/(-18) - (-134)/z? 1 Suppose 3*z = 3*c, 2*c = -z + 14 - 2. Suppose 3*m + 3 = -4*v + 27, -c*m = 0. What is the units digit of v? 6 Let j(d) = -d**2 + 9*d + 1. What is the tens digit of j(7)? 1 Let j(i) = i - 2. Let o(d) = d**3 - 4*d**2 - 4*d + 1. Let m be o(5). Let r be j(m). Let l(g) = -g**2 + 4*g + 3. What is the units digit of l(r)? 3 Let v be ((-4)/2 - -2)/(-2). Let h be -15*(-1 + (2 - v)). What is the units digit of (-44)/(-10) + 6/h? 4 Let y = 13 - 6. What is the units digit of y? 7 Let s be 2/4*0/2. Suppose -5*v + y + 68 = s, -3*y - 3 - 6 = 0. Let g = v + -4. What is the units digit of g? 9 Let h = 28 + -30. Let x(k) be the second derivative of -2*k**3 - k**2 + 2*k. What is the units digit of x(h)? 2 Let y(p) = p. Let m be y(-4). Let d(n) = -n - 2*n + 2 - 4 - 4. What is the units digit of d(m)? 6 Let y(t) = 4*t**2 - t + 1. Let s be y(1). What is the tens digit of 1/s + 174/8? 2 Let p(i) = 2*i**3 - 4*i**2 + 2*i - 1. Let g be p(3). Let z = g + -6. Suppose 3*l - z = -2. What is the units digit of l? 5 Suppose -2*j - 9 = -5*j. Suppose v - 20 = l, 2*l + 56 = j*v - 0*v. What is the units digit of v? 6 Suppose 0 = 4*t + i + 2 - 12, -4*t = -4*i. What is the units digit of t? 2 Suppose 3*g = y + 222, 2*y - 247 = -3*g - 16. What is the tens digit of g? 7 Suppose 0 = 5*k - 15. Let v be ((-3)/(-9) - 1)*3. What is the units digit of 0 + 15/k + v? 3 Let m = -175 - -301. What is the units digit of m? 6 Let c = 3 + 1. Let g be ((-3 - 0) + c)*7. Suppose x = 2*x - g. What is the units digit of x? 7 Suppose -5*a = -6*a + 19. What is the units digit of (-2)/(-8) + a/4? 5 Let d(u) = -u**3 - 6*u**2 - 7*u - 13. Let z be d(-4). Let x be (-2)/9 + 286/(-9). Let b = z - x. What is the units digit of b? 5 Let l(y) = y + y - 3*y + 2. Let z be l(-3). Suppose 5*b = z - 0. What is the units digit of b? 1 Suppose -10*u = -8*u - 268. What is the hundreds digit of u? 1 Let f = 13 + 309. What is the tens digit of f? 2 Suppose -6*b + 195 = -b. What is the units digit of b? 9 Let r = 18 + -15. Suppose 0 = r*b - 6*b + 3. What is the units digit of b? 1 Suppose 4*d = -3*g - 15, g - 5*g - 20 = 4*d. Let t = 2 - d. Suppose -f + t = -1. What is the units digit of f? 3 Let f(y) = y**2 - 4*y + 2. Let d = -5 - -12. What is the units digit of f(d)? 3 Let j(s) be the first derivative of -s**4/4 - 2*s**3/3 + 3*s**2 + 3*s + 2. Let g be j(-4). Let v = -4 + g. What is the units digit of v? 7 Suppose 0 = j - 4*j + 321. What is the hundreds digit of j? 1 Let f(x) = -25*x + 3. Let u be f(2). Let y = u - -79. What is the units digit of y? 2 Suppose -5*q = -n + 19, 3*n - q - 4 = 11. Suppose 3*u - 2*u = n*f - 17, 0 = -4*u + 3*f - 16. Let o = 1 - u. What is the units digit of o? 2 Suppose 6*j - 28 = 2*j. Let r(k) = -k**3 + 6*k**2 + 9*k + 1. What is the units digit of r(j)? 5 Let g be -2*3*(-51)/6. What is the units digit of g/9 - (-2)/(-3)? 5 What is the tens digit of (1 + (-22)/(-4))*4? 2 Let u(v) = -v + 17. Let z be u(0). Let h = z + -12. Suppose h*n = 15, -g - 2*n + 23 - 7 = 0. What is the units digit of g? 0 Suppose 5*a = -4*r + 175, 0*a - 4*a + 221 = 5*r. Suppose 6*w = w + r. What is the units digit of w? 9 Let l(o) = 3*o**2 + 2*o + 3. Let f be l(-3). Let m = f - 15. What is the units digit of m? 9 Suppose -2*o - 4*n = -3*n - 349, 3*o = -5*n + 534. What is the units digit of o? 3 Let g be 3/3 - -2*5. Let a = g + -3. What is the units digit of a? 8 Let s = -42 - -30. Let i be (2/(-4))/(2/s). Suppose 6 + 30 = i*l. What is the units digit of l? 2 Let s(h) = -3*h**2 - 2*h + 6*h + 5*h**2. What is the units digit of s(-3)? 6 Let y = 38 + 11. Let b = -11 + y. What is the units digit of b? 8 Let k(h) = 6*h**2 - 2*h - 1. Let a be k(2). Suppose 3*t - 4*c = a, 0*c + 5*c + 20 = 0. What is the units digit of t? 1 Let i be (-18)/6 + -1 + 15. Let g = 20 - i. What is the units digit of g? 9 Let b(g) = 13*g + 1. Let s be b(-2). Let i = s + 37. What is the units digit of i? 2 Let c be (-24)/(-1) - (1 - -2). Suppose -c = 5*m - 91. What is the tens digit of m? 1 Suppose -26 - 64 = -3*o. Let z = o + -18. What is the units digit of z? 2 Let d(t) = -2*t. What is the tens digit of d(-6)? 1 Suppose 0 = -0*q + 4*q - 124. What is the tens digit of q? 3 What is the units digit of (-6)/(-8) - (-36)/16? 3 Let a = -1 + -1. Let v = 3 - a. What is the units digit of v? 5 Let t(o) = -o**3 - 19*o**2 - 22*o - 18. What is the tens digit of t(-18)? 5 What is the units digit of -3 + 0 - (-6 - 1)*17? 6 What is the hundreds digit of -1 - -163 - 75/15? 1 Suppose -76 = -2*s - 2*s. What is the units digit of s? 9 Let u(t) = t**3 + 10*t**2 + 10*t + 9. Let f be u(-9). Let h be ((-3)/6 + 1)*16. Suppose f = 5*z - z - h. What is the units digit of z? 2 Let o(s) = 20*s**2 + 2*s + 1. Let z be o(-1). Let v = z + -6. What is the units digit of v? 3 What is the tens digit of 6/15 - 1040/(-25)? 4 Let q = -20 - -65. Let b = q + -31. What is the units digit of b? 4 What is the tens digit of (-152)/(-6) + (-4)/12? 2 What is the tens digit of (1 - 0)/((-2)/(-46))? 2 Suppose 4*t - 3*v - 71 = -0, -5*t + 2*v + 80 = 0. What is the tens digit of t? 1 Suppose 3*t - 7*t = -144. Suppose 0 = -s - 2*s + t. What is the units digit of s? 2 What is the tens digit of 73 - 3*12/(-9)? 7 Suppose -4*g + g + 510 = 0. What is the hundreds digit of g? 1 Suppose 5*k + 871 = 5*v - 359, -3*v = k - 746. What is the hundreds digit of v? 2 Let d(r) = 2*r**2 - 7*r - 7. What is the tens digit of d(7)? 4 What is the tens digit of (-1)/(-2)*(0 + 356 + 2)? 7 Let n(i) = -2 + 2*i**2 - i**3 - i**2 + 3 + 2*i. Let v be n(-1). What is the units digit of (0 - 0) + (8 - v)? 7 Let q = -7 - -25. Suppose -25 - 11 = -4*y. Let d = q - y. What is the units digit of d? 9 Suppose 5*z - 3*z = -3*v + 42, 3*z = -5*v + 61. Let o = -47 + 28. Let f = o + z. What is the units digit of f? 8 Suppose 2*f - 2*z + z = 2, -z = 4*f - 10. Suppose f*n - 10 = 5*k, -4*n = -n. What is the units digit of ((-5)/2)/(k/8)? 0 Let x = -19 - -9. What is the units digit of ((-10)/(-4))/((-5)/x)? 5 Let r = -50 + 95. What is the units digit of r? 5 Suppose -3*f - 3*u = 15, 6 = -f - f - u. What is the units digit of f/3 - 230/(-15)? 5 Let q(x) = -x + 15. Let s be q(10). Suppose 2*d - 10 = 3*d + 2*h, 4*d - 5*h + 92 = 0. What is the units digit of 12/30 - d/s? 4 Let k be 2/(-4)*(0 + 0). Let p be k + 1 + (3 - 3). Let s(i) = 6*i**3 - 2*i + 1. What is the units digit of s(p)? 5 Suppose z - 6*z - 2*b - 111 = 0, 3*b + 86 = -4*z. Let n = -10 - z. Let d = n - 6. What is the units digit of d? 7 Let x be ((-3)/3 - 0)*-8. Suppose r = -2*z - 5, x*z - 3*z = -4*r - 20. Suppose 3*m = -z + 3. What is the units digit of m? 1 Let d = -3 - -3. Suppose d = o + 5*k + 7, -2*o - 2*k = 3*k - 1. What is the units digit of o? 8 Let c = -46 - -77. Let
{ "pile_set_name": "DM Mathematics" }
-452. Calculate the remainder when b is divided by o. 79 Suppose 19*z = 6*z + 2184. Suppose 54*i - z = 50*i. Calculate the remainder when 157 is divided by i. 31 Let x = -1575 - -1581. What is the remainder when 123 is divided by x? 3 Let k(r) = -880*r - 3113. What is the remainder when k(-4) is divided by 60? 47 Let l = -283 - -127. Let m = l - -77. Let o = m - -100. What is the remainder when 61 is divided by o? 19 Suppose 0 = 5*d + 25, -c - 4*d + 353 - 209 = 0. Calculate the remainder when 199 is divided by c. 35 Let y(j) = -13*j**2 + j - 65. Let i(v) = -15*v**2 - v - 64. Let k(z) = 6*i(z) - 7*y(z). Calculate the remainder when 143 is divided by k(5). 19 Let r(v) be the third derivative of -7*v**4/12 - 31*v**3/3 + v**2. Let u be 3762/(-693) - 8/14. Calculate the remainder when 63 is divided by r(u). 19 Let l(q) = -q**2 - 5*q - 1. Let i be l(-6). Let g(m) = m**2 + 11*m + 16. Let h be g(i). Let r = h + 29. Calculate the remainder when 63 is divided by r. 12 Let t be 2467 - 32/(-24)*6. Suppose 5*d = 5*j - t, 368 = 2*j + 4*d - 616. Calculate the remainder when j is divided by 9. 8 Let g(k) = k**2 + 3*k - 11. Suppose -64*d = -24*d - 34*d - 120. What is the remainder when g(8) is divided by d? 17 Let s(u) = -2*u + 41. Let c be s(-15). Suppose -13*r = -c - 228. Suppose 0*j - 4*j = 2*p + 4, -5*p + 5*j + 65 = 0. What is the remainder when r is divided by p? 7 Let g = -387 - -175. What is the remainder when (0 + 10/5)*g/(-8) is divided by 14? 11 Let i be 3/(-3) + 5 + -1. Suppose 5*w = -i + 98. What is the remainder when w is divided by ((-31)/7 - -4) + 5 + (-88)/56? 1 Let j be (56/(-10) - -3) + (-6)/(-10). Let q be 81*(j/(-12) - (-20)/24). Let l = q - 72. Calculate the remainder when 15 is divided by l. 6 What is the remainder when (-14504)/2450*(-75)/6 is divided by (-2)/6 - (-98)/6? 10 Suppose -r - 3*p + 894 = 0, -2*r - 2*p + 258 + 1530 = 0. What is the remainder when r is divided by 82? 74 Suppose 29*i + 192 = 1120. Let a be (-3556)/(-36) + 6/27. Suppose 2*k + a = r, 5*r = -k - 4*k + 450. What is the remainder when r is divided by i? 29 Suppose 23*j - 6749 + 1045 = 0. Calculate the remainder when j is divided by 80. 8 Suppose 196476 + 158557 = 67*v. What is the remainder when v is divided by 100? 99 Let d(j) = j**3 + 32*j**2 - 67*j + 44. Let c = 61 + 98. Calculate the remainder when c is divided by d(-34). 9 Let o(n) = n - 1. Let z = -4977 + 5023. What is the remainder when z is divided by o(14)? 7 Let r be (-7)/((-7)/6) + 2. Suppose 1869 = 33*s - 1035. Suppose r*b - 9*b = -s. What is the remainder when b is divided by 23? 19 Suppose -8 = -241*x + 239*x. Calculate the remainder when -3 + x - (-62 - -4) is divided by 44. 15 Let g(o) = o**2 + 10*o - 4. Suppose -210*c = -2*w - 212*c + 136, 0 = -5*w - 2*c + 349. What is the remainder when g(-18) is divided by w? 69 Suppose 10*h = 8*h + 2. Let l(p) = -p**2 - 2*p + 1. Let y be l(h). Calculate the remainder when 98 is divided by 0 + y + 4 - -23. 23 Suppose a + 2*p + 65 = 177, 4*p = -4*a + 424. Calculate the remainder when 405 is divided by a. 5 Suppose p - 9 - 4 = 0. Suppose -j - 4*w = -13, -3*j + p = -2*j - 4*w. Suppose 12*i = -13 + 265. Calculate the remainder when i is divided by j. 8 Suppose 7*i + 8849 = 9199. Calculate the remainder when 138 is divided by i. 38 Let c = -35514 - -35558. Suppose -2*a = h - 270, 2*a - 112 = -4*h + 158. What is the remainder when a is divided by c? 3 Let k = 62 - 59. Let t(x) = -6*x**3 - 4*x**2 + 6*x - 3. Let m be t(k). Let n = 317 + m. Calculate the remainder when n is divided by 15. 14 Let w = -25 - -47. Suppose -89*m - 28*m = -10062. Calculate the remainder when m is divided by w. 20 Suppose k + f - 1316 = 0, 9 = -2*f + 3. Let h = k + -1317. Suppose 0 = -4*u - 12, -7 - 101 = -5*y - 4*u. What is the remainder when y is divided by h? 0 Let h be (-6)/(-5)*(2 + 3). Suppose -190 = -l + h*l. Let g = 4 - l. Calculate the remainder when g is divided by 13. 3 Suppose 31 = 3*t - 4*j, 3*t + 9 - 4 = -5*j. Suppose 2*q + v = 0, -9*q = -12*q - 4*v - t. Calculate the remainder when 17 is divided by q. 0 Let f = 9476 + -9416. What is the remainder when 2103 is divided by f? 3 Let l(q) = 2*q**2 + 74*q - 52. Let s be l(-38). What is the remainder when 257 is divided by 2108/48 + 2/s? 37 Let y(d) = -1905*d - 3742. Suppose -2*k + k = -4. Calculate the remainder when y(-2) is divided by (24/(-10))/(k/(-60)). 32 Let n(v) = -126*v - 357. What is the remainder when 28 is divided by n(-3)? 7 Suppose 15*m + 33 = 48. Let z(f) = 60*f**2 - 4*f + 5. What is the remainder when z(m) is divided by 18? 7 Calculate the remainder when (-11 + (-520)/(-60))*(1 - (287 + -1)) is divided by 10. 5 Let j = -62 - -86. Calculate the remainder when 43 - 0*7/(-21) is divided by j. 19 Let o = 7803 + -7163. What is the remainder when o is divided by 81? 73 Suppose 69*v - 63*v = -4272. Let n = v - -717. Calculate the remainder when n is divided by 3. 2 Let k = 789 - 1240. Calculate the remainder when 14/21 + -1 + k/(-3) is divided by 19. 17 Let i = -2608 - -2966. What is the remainder when i is divided by 72? 70 Suppose -2*u - t = 0, -2*u + 16 = 5*t - 8*t. Suppose 12*h - 638 + 278 = 0. What is the remainder when (203/14)/(u/12) is divided by h? 27 Suppose 4*i - 242*o + 240*o = 246, 2*o - 153 = -3*i. Calculate the remainder when 546 is divided by i. 33 Suppose -5*j = -r - 2*r + 14, 3*j + 15 = 4*r. Let l be -1*(-8 + 2)*r/6. Calculate the remainder when 21 is divided by (-1)/(1/(-14)) - l. 10 Let t(q) = 2*q**2 + 81*q + 133. Calculate the remainder when t(27) is divided by 14. 12 Suppose -6*p - 12 = -138. Let u = 36 - p. Let g = 587 - 472. Calculate the remainder when g is divided by u. 10 Suppose 6*k - 2*k + 16 = 3*y, 2*y - 9 = 3*k. Suppose 3 = -0*f - 3*f, f = 4*s - 133. What is the remainder when s is divided by y? 9 What is the remainder when 3083 is divided by ((-12)/10)/((-3)/21*(-315)/(-300))? 3 Let s(z) = 13*z**2 - 8*z - 3 + 9*z**2 - 12*z + 22*z. What is the remainder when s(1) is divided by 15? 6 Suppose 0*x = -5*x - 5*h + 10, -3*x + 5*h = -6. Suppose 5*c + x*u = -28, 3*u = 6*u - 3. Let o = c + 20. What is the remainder when 67 is divided by o? 11 Suppose -233 = -3*f - 2*u, -5*f - 4*u = -9*u - 355. Let m = 41 + f. Let s = -115 - -128. Calculate the remainder when m is divided by s. 12 Let r = 6 - 15. Calculate the remainder when 352 is divided by (-1 + 57/(-2))*(r - -7). 57 Suppose -1702 = -2*d - 5*j, 12 + 4 = -4*j. What is the remainder when 2/((-5152)/d - -6) is divided by 20? 3 Let i(r) = -3*r + 4. Let v(b) = 3*b**2 - 34*b + 199. What is the remainder when v(7) is divided by i(-11)? 34 Let t(w) = -5*w - 2. Let h(p) = -6*p - 2. Let s(b) = 4*h(b) - 5*t(b). Suppose 0 = 3*n - 0 - 6. What is the remainder when 4 is divided by s(n)? 0 Suppose -677*n + 622*n + 18095 = 0. What is the remainder when n is divided by (5 - 6)*(-30 - 0)? 29 Let z(k) = 7*k + 11. Let n be z(-7). Let b = n - -40. Suppose 144 - 10 = b*s. Calculate the remainder when s is divided by 23. 21 Suppose -10*c + 2452 - 102 = 0. Suppose -14*h - 81 = -c. What is the remainder when 192 is divided by h? 5 Let i(k) = 122*k + 4*k**2 + 132*k + k**3 + 3*k**2 - 249*k. What is the remainder when 6 is divided by i(-6)? 0 Suppose -111*b = 2*d - 114*b - 2260, -2*d + b = -2260. What is the remainder when d is divided by 39? 38 Suppose 4*c - 2*x - 804 = 0, 8*c - 13*c - x = -998. Suppose -5*d + c = -3*h - 231, -4*d + 5*h + 337 = 0. Calculate the remainder when d is divided by 31. 26 Suppose -3*p + t + 190 = 0, -4*t = -2*p + 158 - 28. Suppose 3*l + 25 = -2*l. Let a = p + l. Calculate the remainder when a is divided by 12. 10 Let w = 693 - 660. What is the remainder when 57 is divided by w? 24 Let g(p) = -p**3 + 3*p**2 + 8*p - 4. Let a be g(-2). Suppose a*u + 177 = n + 2*u, -4*n + u + 708 = 0. Calculate the remainder when n is divided by 5. 2 Suppose 5*a = -4*j + 236, 2*j + 3*a - 7*a = 92. Let c = 120 - j. Calculate the remainder when 263 is divided by c. 65 What is the remainder when 207 is divided by -226*(10/(-20) - 0)? 94 Suppose -32*s + 188 = -28*s. Let l = 773 + -717. What is the remainder when l is divided by s? 9 Let l be ((-39)/(-36)*3)/(2/24). Suppose 10*y = l + 51. Calculate the remainder when y is divided by 5. 4 Suppose 0 = -4*s + s + 36. Suppose -6*w
{ "pile_set_name": "DM Mathematics" }
Let o = -8 - -4. Suppose -4*s = 3*r + 234, 150 = -5*s - 4*r - 142. Sort o, -2, s, 5. s, o, -2, 5 Let n = -26 - -28. Suppose -n*b + 10 + 11 = -3*y, -4*y = b + 17. Suppose 2*f - 1 + 3 = 0. Put -2, f, y in increasing order. y, -2, f Let q = 1.52 - 14.52. Let n = -231.9 - -245. Let y = n + q. Put y, 0.2, -1 in decreasing order. 0.2, y, -1 Let a be 30/(3/9*3). Let i be a/(-56) - 4/(-14). Let u be (-2)/(-6)*-15*6/18. Put u, -1, i in decreasing order. i, -1, u Let z be (-76)/28 - 4/14. Sort -2, -1, z. z, -2, -1 Let g = 2.58 - 2.44. Sort -0.04, 3, g, 4 in decreasing order. 4, 3, g, -0.04 Let m = 33 - 31. Let b = 185 + -182. Put 4, b, m, -2/33 in descending order. 4, b, m, -2/33 Let g(r) = -r + 7. Let y be g(12). Let p = -28 - -25. Put y, -2, -4, p in increasing order. y, -4, p, -2 Suppose -9*p = -8*p - 9. Suppose u + 2*u - 22 = 5*b, 4*u = -b - p. Put b, -3, 19 in descending order. 19, -3, b Let k be (-44)/(-16) + -3 - (-903)/172. Suppose 4*a - 2 = d + 4*d, 0 = 3*d - a - 3. Put k, d, -4 in ascending order. -4, d, k Let r be 6/8 + (568/(-32) - -12). Let l be (-4 + 4)/(0 - 1). Sort r, 1, l. r, l, 1 Let m be ((-2)/2)/(3 - (-6)/(-3)). Let u(f) = 4*f - 2. Let b(t) = -5*t + 3. Let d(w) = 3*b(w) + 4*u(w). Let g be d(3). Put -5, m, g in decreasing order. g, m, -5 Let l = -599 - -595. Sort l, 1, -265 in decreasing order. 1, l, -265 Let r be ((0 - 1) + (-105)/(-45))*3. Let t = -27 - -26. Put r, t, -3, 5 in decreasing order. 5, r, t, -3 Let d = 4 - 6. Let b = 122.244 + -0.244. Let m = b - 123. Put m, -3/7, d in increasing order. d, m, -3/7 Let v = -32.1 - -29. Let g = -32.1 - v. Let u = -30 - g. Sort -3/2, 5, u in descending order. 5, u, -3/2 Suppose -z = 4*c - 21, 7*z - 21 = c + 2*z. Let o be 2 + -3 - -1*c. Put -5, o, 1, 0.1 in ascending order. -5, 0.1, 1, o Let y be 8/(-12) + 64/6. Let d(p) = p**3 - 10*p**2 + 1. Let l be d(y). Suppose 6*a = 3*r + 9*a - 18, r - 4*a - 1 = 0. Sort r, -1, l in descending order. r, l, -1 Let a be (-18)/(-12) + (1 - (-2)/4). Let y be 2/9 - (-286)/9. Suppose 4*w - y = -12. Sort w, a, -4 in descending order. w, a, -4 Let y = 1409 + -1410. Put -129, -2, y in descending order. y, -2, -129 Let f = 8.2 - 3.1. Let m = f + -2.8. Let x = m + -1.9. Put x, -4/3, -2 in increasing order. -2, -4/3, x Let h be 1/2 - 2*(-35)/20. Sort -1/2, h, -27, -2/17. -27, -1/2, -2/17, h Let n = 23 + 8. Let f = n - 29. Let l(j) = -j**3 + 2*j**2 + 2*j + 2. Let d be l(3). Put 1, f, d in descending order. f, 1, d Suppose 0 = 3*z - 28 + 16. Sort z, -5, 5, -19 in descending order. 5, z, -5, -19 Let s be 4/(-8)*4/(-7). Let u = -24 - -49/2. Sort u, s, -0.3, 1/5 in descending order. u, s, 1/5, -0.3 Suppose 3*w - 41 = d, 2*w - 4 = 4*d + 40. Let t = -7 + 12. Suppose a + w = -t*a. Sort -11, 0, a in ascending order. -11, a, 0 Let b(y) = y**3 + 14*y**2 + 32*y - 9. Let j be b(-11). Sort 4, j, -52. -52, j, 4 Let x = 3269/12 + -818/3. Sort -1/5, -0.43, x, 2/13. -0.43, x, -1/5, 2/13 Let b = -18.1 - -18.6. Sort 2/75, b, -3, -7 in increasing order. -7, -3, 2/75, b Let l = 13 + -18. Let c(t) = -t**3 - 3*t**2 + 2*t - 4. Let q be c(-4). Suppose 0 = 2*j + a - 0*a + 11, 2*a + 25 = -5*j. Sort l, q, j. l, j, q Let y = -315 - -319. Sort 9, y, 0.5. 0.5, y, 9 Let z = -8 + 6. Let m(x) be the third derivative of x**6/120 + x**5/60 - 5*x**4/24 - x**3/2 + 3*x**2 - 3. Let s be m(-3). Sort z, 3, s in ascending order. s, z, 3 Suppose -3*n = 11 + 10. Let h = -1.5 + 4.5. Sort n, h, -0.3. n, -0.3, h Suppose 2*d - 68 = 19*d. Put 0, d, 3 in ascending order. d, 0, 3 Let s = -532.92 - -533. Put s, 3, -2 in ascending order. -2, s, 3 Let y = -3535.4 - -3535. Let d = -1 + 0. Sort 4, y, 2, d. d, y, 2, 4 Let y = 15.3 + -15.6. Put y, 1/4, -2, -6 in descending order. 1/4, y, -2, -6 Let o = 2.921 - 0.021. Let f = 20 - 17.3. Let v = o - f. Put v, 0.3, -0.4 in decreasing order. 0.3, v, -0.4 Let h = -598.2 - -542. Let z = h - -52. Let m = z - -2.2. Sort -4, m, 3 in decreasing order. 3, m, -4 Let z = 137/12 - 59/4. Let d = -23 + 47/2. Put d, 4, z, 0.3 in ascending order. z, 0.3, d, 4 Let d be (13/((-702)/180))/((-2)/3). Suppose -c + 2 = 4*r + r, -2*c - 5*r = 1. Sort 4, d, c, 3 in ascending order. c, 3, 4, d Let i = -47/82 + 3/41. Sort -6, i, 2 in decreasing order. 2, i, -6 Let l = 14.06 - 14. Let m = l - 3.06. Sort -0.3, -0.1, m in descending order. -0.1, -0.3, m Let o = 29.06 + -29. Let h = -9.06 + o. Sort 0.3, 0.4, h in ascending order. h, 0.3, 0.4 Let z be (3/6)/1 - (-2)/12. Let t = 0 + 7. Let l = t + -6. Put z, l, 0.6 in decreasing order. l, z, 0.6 Let h be ((-3)/1)/(-2 - -1). Let u = 8 - 3. Suppose m = u*m + 20. Sort 1, h, m in descending order. h, 1, m Suppose 0 = 3*h + q - 18 + 8, -3*h + 4*q = 25. Suppose -3*n = 5*j - 2, -4 + 14 = -5*j. Sort n, h, 11, -2. -2, h, n, 11 Let v be 0/((-15)/5 - -4). Let o = 12 + -8. Suppose 3*s - 8 = 5*j - j, -o*s + 18 = 2*j. Sort v, -3, j in descending order. j, v, -3 Let r = -105.34 + 105. Let y = r - -0.84. Suppose 5*p - 7 = -2. Put 0.8, p, y in decreasing order. p, 0.8, y Let i be (101/(-9))/1 + (-4)/(-18). Let q = -4.86 - 0.14. Sort 3, i, -0.3, q. i, q, -0.3, 3 Let i be 13/((-195)/40) - (-8)/(-6). Sort -310, i, 3. -310, i, 3 Suppose 0 = -2*a + 4. Sort a, -16, -4. -16, -4, a Let i = 33278/3 + -11092. Let g = -2/37 + 154/111. Let q = -3 - 0. Put i, g, q in ascending order. q, i, g Let a = -45.6 + 45.5. Put 1.3, 5, 1, a in ascending order. a, 1, 1.3, 5 Let w be (108/(-24))/(15/20). Sort -9, w, 3 in ascending order. -9, w, 3 Let u = -178.1 + 177.83. Let h be 1/(-2)*8/6. Sort -4/5, h, u in increasing order. -4/5, h, u Let r = -74 - -75. Let v = 2 - -4. Let l(t) = t**2 - 5*t - 1. Let y be l(v). Put r, -7, y in decreasing order. y, r, -7 Suppose 3 + 5 = -2*v, -h + 27 = -4*v. Suppose 3*i - h*i = 32. Put 4, i, 2, -3 in ascending order. i, -3, 2, 4 Let n = 1.2 - 0. Let w = n - 0.2. Let i = 477 - 472. Sort 1/5, w, i in ascending order. 1/5, w, i Let a be (6/24*-4)/(1/137). Let i = 1235/9 + a. Sort 5/3, i, 4 in decreasing order. 4, 5/3, i Suppose 3889*z - 3879*z = 50. Sort 33, z, 10. z, 10, 33 Let m(f) = -f + 2. Suppose -8*p + 20 = -4*p. Let r be m(p). Let x be r/(-4) + (-231)/(-252). Sort -0.4, -5/2, x in descending order. x, -0.4, -5/2 Let v = -23 + 28. Suppose 252 - 42 = -v*t. Let y be (-3 - t/15) + 0. Sort y, 2/7, 1 in ascending order. y, 2/7, 1 Suppose 0 = -2*o + 3*o + 2*v + 7, 4*o - 5 = 3*v. Let q be ((-6)/10 - (-54)/40) + o. Sort -1, 0.3, q, 1 in increasing order. -1, q, 0.3, 1 Suppose 17 = -5*a - 2*u, 2*a - u = u - 18. Suppose 2*s - 4*s + 58 = 0. Let y = s - 24. Sort a, y, 2. a, 2, y Let t = -63.1 + 60. Let z = 4.8 + t. Let h = -1.4 + z. Sort h, -5, -1/6 in increasing order. -5, -1/6, h Suppose 0 = 5*h + 13*h + 12*h + 120. Let o(l) = l**2 - l - 26. Let q be o(0). Let a be 1/(-3) + q/(-6). Put a, h, -5 in increasing order. -5, h, a Let j be 3 + (-100)/36 + (-260)/(-45). Put j, -0.06, 1/5, -0.4 in decreasing order. j, 1/5, -0.06, -0.4 Suppose -3*n - 12 = 0, 3*x - 72 = -3*n + 6. Suppose y + 2*y = -x. Suppose 19*p - 8 = 49. Sort p, -2, y. y, -2, p Let t = 248 + -248.5. Put -0.4, 20, t in descending order. 20, -0.4, t Suppose 3*o - 12 = 2*q + 4, 3*q = -5*o + 52. Let a be o/(-36) - 0/1. Let w = -0.12 - 0.08. Sort 2, w, a in increasing order. a, w, 2 Suppose c - 2*c + 2*c = 0. Put 4, c, 5 in ascending order. c, 4, 5 Let l be 330/400 + (84/(-10))/7. Sort 3, l, -19 in decreasing order. 3, l, -19 Let a be (6 + -4)/14*-5. Sort -1, 1, 0.3, a in descending order. 1, 0.3, a, -1 Let n(g) = 6*g - 299. Let m be n(50). Sort m, 2, -9 in ascending order. -9, m, 2 Let j be 2*6/12*-3. Put j, -2, 110 in increasing order. j, -2, 110 Let c be (-6)/9 + (-14)/(-3). Suppose 5*j = -4*q, 4*j + 16 = -c*q + 3*j. Suppose 3*d + 4*f + 0 = -12, 2*f = 0. Sort 1, q, d in ascending order. q, d, 1 Let o = -4.936 + -0.064. Put 2/9, o, 0.149 in decreasing order. 2/9, 0.149, o Let d = 8.279 - -0.021. Let y = 8 - d. Sort -3/11, 1/2, y, 0.4 in decreasing order. 1/2, 0.4, -3/11, y Suppose 10*y + 40 = 14*y. Suppose 3*h = 8*h - y. Suppose 0 = 3*j + 17 - 5, 3*j = -5*x - 17. Sort h, x, 14. x, h, 14 Let u = 89 + -86. Let l(z) = -6*z + 19. Let o be l(u). Put -3, 7, 4, o in ascending order. -3, o, 4, 7 Suppose a + 210 = 212. Put 1/6, 0.1, a, -5 in increasing order. -5, 0.1, 1/6, a Let o = 5/3 - 2. Let v(w) = w**2 - 3*w + 4. Let
{ "pile_set_name": "DM Mathematics" }
*t**2/2 + t + 9. Let y(v) be the second derivative of v**3/6 - 9*v. Determine -w(o) + 3*y(o). -2*o**2 - 2*o - 1 Let c(s) = -9*s + 2. Let l(t) = -19*t + 31 - 24 + 28 - 30. Give 5*c(q) - 2*l(q). -7*q Let p(j) = -8*j**2 + 6*j + 5. Let k(o) = 9*o**2 - 7*o - 5. Give 4*k(n) + 5*p(n). -4*n**2 + 2*n + 5 Let n(m) = 38*m - 57. Let i(a) = -9*a + 14. Calculate -9*i(p) - 2*n(p). 5*p - 12 Let o be (-3)/((-3)/(-2))*(-6)/4. Suppose -1 = w - 3. Suppose -w*z = -z - p, 2*p - 5 = o*z. Let s(y) = 3*y + 1. Let v(a) = -2*a - 1. Calculate z*v(f) - 3*s(f). f + 2 Let p = 390 + -387. Let v(i) = -15*i + 3. Let a(l) = 7*l - 2. Calculate p*v(o) + 5*a(o). -10*o - 1 Suppose 4 = 4*g, -n + 0*n = -3*g - 4. Let p(z) = 1 + 0*z - 7*z + n*z - z. Let m(l) = 6*l - 5. Let j = 1 + -2. Calculate j*m(k) - 5*p(k). -k Let a(v) = 4 + 2 + 0*v - 2 + 3 - 8*v. Let p(z) = 15*z - 13. Calculate 11*a(n) + 6*p(n). 2*n - 1 Let n(s) = 14*s**3 + s**2. Let f(u) = -27*u**3 - 3*u**2. Determine -3*f(k) - 7*n(k). -17*k**3 + 2*k**2 Let g(l) = 8*l**3 - 14*l**2 - 12. Let i(f) be the first derivative of -f**3/3 - f - 112. Calculate -g(k) + 12*i(k). -8*k**3 + 2*k**2 Let s(k) = -7*k + 186. Let p(m) = -37*m + 928. What is -2*p(j) + 11*s(j)? -3*j + 190 Let g(s) = -2*s**3 + s**2 + s + 1. Let k(p) = 39*p**3 + 2*p**2 - p. Determine -g(v) - k(v). -37*v**3 - 3*v**2 - 1 Let g(q) = 57*q**2 + 6*q. Let k(i) = -114*i**2 - 13*i. Determine -13*g(l) - 6*k(l). -57*l**2 Let w(g) = -g**3 + g**2 - g. Let x(j) = 1290*j**3 - 1720*j**2 + 1720*j. Calculate -1720*w(z) - x(z). 430*z**3 Let g(t) = 15*t - 1. Let r(w) = 115*w + 2. What is -6*g(l) - r(l)? -205*l + 4 Let i(b) = -10*b**2 - b - 3. Let j(h) = 29*h**2 - h + 8. Give 8*i(o) + 3*j(o). 7*o**2 - 11*o Let c(h) = 3*h + 8*h**3 - 3 - 5*h**3 + 41*h**2 + 2*h**3 - 41*h**2. Let y(v) = 6*v**3 + 4*v - 3. Determine 5*c(s) - 4*y(s). s**3 - s - 3 Let d(z) = -9*z**3 + 2*z - 1. Let u = -43 + 64. Suppose -u*l = -18*l - 15. Let a(p) = -8*p**3 + 2*p - 1. What is l*d(b) - 6*a(b)? 3*b**3 - 2*b + 1 Let k(p) = -2*p**2 - 3. Let v(m) be the third derivative of m**5/20 + 5*m**3/6 - m**2 + 2*m. Calculate -5*k(d) - 3*v(d). d**2 Let s(b) = -4*b**2 - b. Let p(o) = -o**2. Suppose v - 4 + 1 = 0. Suppose 5*j = v*m - 7, 5*j - 3*m = m - 11. Calculate j*s(l) - 5*p(l). l**2 - l Let v(y) = -1. Let s(p) = p - 2. Suppose 3*j + 0*n - n = 19, -4*n = -5*j + 27. Suppose 43*f + 54 = -118. Determine f*s(r) + j*v(r). -4*r + 1 Suppose 0 = 5*w + 112 + 38. Let c = w - -26. Let q(p) = -3*p**3 + 4*p**2 + 2*p. Let y be 1 - 7 - 1/1. Let t(n) = 6*n**3 - 7*n**2 - 4*n. What is c*t(o) + y*q(o)? -3*o**3 + 2*o Let l(m) = -m**3 + 3*m + 3. Let y(r) = 4*r + 22. Suppose -4*p = 3*i + 30, 2*i + 3*i + 36 = -2*p. Let u be y(i). Let o(x) = x + 1. What is u*l(q) + 6*o(q)? 2*q**3 Let l(h) be the third derivative of -h**4/8 - h**3 - 644*h**2. Let u(j) = 2*j + 2. Let b(o) = -o - 1. Let q(k) = -9*b(k) - 4*u(k). What is -l(g) - 4*q(g)? -g + 2 Let l(c) = c**3 + 4*c**2 - 6*c. Suppose 0 = -3*x + 7 - 4. Let s(r) = 3*r**2 - r**2 - r - r**2. Give x*l(p) - 4*s(p). p**3 - 2*p Let z(q) = q - 2. Let p(u) = -12*u + 37. Give -p(d) - 3*z(d). 9*d - 31 Let n(f) = f + 2. Let t(c) = -9*c - 37. Let s(q) = -4. Let b(x) = 5*s(x) - t(x). Give -6*b(m) + 51*n(m). -3*m Let x(h) = 10*h**2 - 187*h - 24. Let s(z) = -3*z**2 + 62*z + 9. Determine -8*s(k) - 3*x(k). -6*k**2 + 65*k Let u(s) = -184*s - 12. Let w(g) = -186*g - 10. Determine -5*u(y) + 6*w(y). -196*y Let f(u) = 4*u**2 - 9*u - 9. Let l = -121 - -115. Let z(a) = 5*a**2 - 10*a - 10. What is l*z(r) + 7*f(r)? -2*r**2 - 3*r - 3 Let c(u) = -3*u**3 + 3*u**2 + 4*u + 20. Let t(g) = 2*g**3 - 3*g**2 - 3*g - 19. Give 5*c(n) + 6*t(n). -3*n**3 - 3*n**2 + 2*n - 14 Let k(q) = q**2 + 3*q - 2. Suppose 10*u = -387 + 407. Let v(h) = -4*h**2 - 9*h + 6. Determine u*v(f) + 7*k(f). -f**2 + 3*f - 2 Let a(u) = 13*u - 25. Let s(z) = 7*z - 12. Let d(o) = -6*a(o) + 13*s(o). Let t(l) = 14*l - 7. Determine -7*d(g) + 6*t(g). -7*g Let d(g) = 2*g + 4. Let w(r) = -r - 5. What is -4*d(u) - 3*w(u)? -5*u - 1 Let a = 4 + 1. Let j(o) = -o - 5. Let t(d) = -3*d - 10. Let b(w) = a*j(w) - 2*t(w). Suppose -3*l - 2*l = -5. Let f(m) = -1. Calculate l*b(u) - 3*f(u). u - 2 Let x(y) = -4*y**2 + 3*y - 3. Let r(w) = -2*w**2 - w + 4. Let k(d) = d**2 + d - 3. Let q(j) = 3*k(j) + 2*r(j). Calculate -2*q(a) + x(a). -2*a**2 + a - 1 Let g(m) = 202*m + 3. Let u(b) = -100*b - 1. Determine -4*g(k) - 9*u(k). 92*k - 3 Let q(m) = -14*m + 6. Let l(r) = -r + 1. Give -21*l(d) + 3*q(d). -21*d - 3 Let w(u) = 7*u**2 - 17*u + 13. Let k(i) = 3*i**2 - 8*i + 6. Let a = 952 - 958. What is a*w(g) + 13*k(g)? -3*g**2 - 2*g Let b(j) = -3*j**2. Let s(z) = -16*z**2. Let c(m) = 11*b(m) - 2*s(m). Let r = -16 - -15. Suppose -9 = 3*t - 0. Let n(y) = 2*y**3 + 3*y**2. Give r*n(k) + t*c(k). -2*k**3 Let s(m) be the second derivative of 7*m**4/2 + 8*m**3/3 + 8*m**2 + 11*m + 2. Let j(f) = 14*f**2 + 5*f + 5. Calculate -16*j(o) + 5*s(o). -14*o**2 Suppose 2*m - 8 = -2*o + 7*m, 4*o = 5*m - 4. Let l(h) = -h. Let b(g) = -7*g - 6. Calculate o*l(s) + b(s). -s - 6 Let b(s) = 5*s**2 - 2*s - 3. Let t(u) = -5*u**2 + 3*u - 1. Let n(f) = 3*b(f) + 2*t(f). Let z(m) = -2*m**2 + 6. Calculate 3*n(q) + 7*z(q). q**2 + 9 Let k(m) = 6*m**3 - 43*m**2 + 10*m + 7. Let f(t) = 4*t**3 - 29*t**2 + 7*t + 5. Let a be (-5)/(-2)*(-5)/((-15)/6). Give a*k(q) - 7*f(q). 2*q**3 - 12*q**2 + q Let s(t) = t**2 - 5*t - 125. Let m(d) = -d**2 + 4*d + 125. Calculate 5*m(h) + 4*s(h). -h**2 + 125 Let u(p) = -8*p - 3. Let c be 196/(-112) + (-2)/8. Let k(o) = -3*o - 1. Determine c*u(i) + 7*k(i). -5*i - 1 Suppose 6*h - 5*h = 23. Let m = 18 - h. Let w(u) = 4*u - 14. Let q(n) = -3*n + 9. What is m*w(f) - 8*q(f)? 4*f - 2 Let h(x) = 3*x + 1. Let d(l) = 15*l + 24. What is -d(o) + 3*h(o)? -6*o - 21 Let r(x) = x**3 - x**2 - x + 1. Let y(n) = -6*n**3 + 3*n**2 + n - 7. Give -r(w) - y(w). 5*w**3 - 2*w**2 + 6 Let v(o) = 8657*o - 8658*o - 2 + o**3 + 1. Let j(x) = -7*x**3 - x**2 + 5*x + 8. Give -j(s) - 5*v(s). 2*s**3 + s**2 - 3 Let i(l) = -l**3 - l**2 + 1. Let o be ((-175)/21 - -7)*(-9)/2. Let q(x) be the first derivative of -1/2*x**2 + o - 2*x + 2/3*x**3. What is 2*i(d) + q(d)? -2*d**3 - d Let m(c) = -10 - 7 + 4 - 2*c. Let g(a) = -a - 6. Let p = 242 + -236. Calculate p*m(j) - 13*g(j). j Let u(b) = -b**2 + b + 1. Let n(v) = -295*v**2 + 354*v + 354. Calculate -n(t) + 354*u(t). -59*t**2 Suppose 7*l = -6 - 29. Let i(v) = -v**2 - 6*v - 1. Let z(g) = -g. Give l*z(f) + i(f). -f**2 - f - 1 Let d(l) = -2*l**3 + 2*l**2 + 8. Let v be (0 - -7)*12/14. Let i(n) = -7. Let r(s) = 6. Let h(g) = v*r(g) + 5*i(g). Let p be 4 + 5 - 4 - 4. Give p*d(y) - 8*h(y). -2*y**3 + 2*y**2 Let n(q) = -2*q. Let c(s) = -s**3 - s**2 + 2*s - 1. Let f be c(1). Let t(y) = -y. What is f*n(k) + 5*t(k)? -3*k Let c(u) = u**3 - u**2 - u + 3. Let t(z) = 3*z**3 - z**2 - 3*z + 8. Calculate -5*c(j) + 2*t(j). j**3 + 3*j**2 - j + 1 Let d(h) = h - 1. Let x(g) = 263*g - 8. Determine -6*d(z) + x(z). 257*z - 2 Let t(r) = r**3. Let h(k) = -8*k**3 - k**2. Let v = -10 + 8. What is v*h(i) - 10*t(i)? 6*i**3 + 2*i**2 Let g(x) = -3*x + 1 + 2*x + 2*x. Let z(n) = 514*n - 262*n - 1 - 255*n + 2 - n**2 - 4. Give 4*g(u) + z(u). -u**2 + u + 1 Let r(t) = -t - 5. Let g(b) = -21. Let d(u) = -5. Let o(n) = 3*d(n) - g(n). Determine -5*o(q) - 6*r(q). 6*q Let h(a) = 5*a**3 - 10*a**2 + 4*a. Let c(g) = 4*g**3 - 10*g**2 + 3*g. Suppose 9*s = -9*s - 90. What is s*h(n) + 6*c(n)? -n**3 - 10*n**2 - 2*n Let s(w) = -w**3 + w**2 + w + 1. Let z(r) = -2*r**3 - 134*r**2 + 3*r + 3. Give 6*s(l) - 2*z(l). -2*l**3 + 274*l**2 Suppose -2*g - 4*s + s + 5 = 0, 4*g = 4*s. Let x(a) = -4*a - a + a - 5*a + 6. Let f(w) = -w + 1. Let o be (-15)/2*(-12)/(-15). Calculate g*x(h) + o*f(h). -3*h Let w(t) = 44*t**2 + 2*t - 2. Let a(c) = 2507*c**2 + 115*c - 115. Determine 2*a(d) - 115*w(d). -46*d**2 Let d(b) = -2*b**3 - b**2 + b. Let n(t) = -11*t**3 - 2*t**2 + 5*t - 3. Let p(v) = 3*d(v) - n(v). Let x(h) = 9*h**3 - h**2 - 3*h + 5. Calculate 5*p(r) - 3*x(r). -2*r**3 - 2*r**2 - r Let d(u) = -185*u. Let a(s) = 3145*s. Give -2*a(i) - 35*d(i). 185*i Let i(s) be the third derivative of -2*s**5/15 - 3*s**4/8 - 4*s**3/3 - s**2 - 415*s. Let w(m) = -7*m**2 - 8*m - 7. Give -6*i(k) + 7*w(k). -k**2 - 2*k - 1 Let o(t) = -184*t + 748. Let g be o(4). Let x(s) = -8*s**3 + 12*s + 2. Let m(q) be the se
{ "pile_set_name": "DM Mathematics" }
t from kkfkfqk. 8/35 Four letters picked without replacement from orqqoou. What is prob of picking 2 o and 2 q? 3/35 Two letters picked without replacement from {l: 1, b: 4, e: 7, f: 6}. Give prob of picking 1 b and 1 l. 4/153 Three letters picked without replacement from {b: 4, s: 2}. Give prob of picking 3 b. 1/5 Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {l: 1, s: 1, z: 1, f: 5, r: 3}. 1/55 What is prob of picking 1 u and 2 h when three letters picked without replacement from {x: 2, c: 1, h: 2, u: 1, b: 1, f: 1}? 1/56 Four letters picked without replacement from wwggwwwvwwwwow. What is prob of picking 1 o and 3 w? 120/1001 Three letters picked without replacement from {u: 1, b: 2, k: 1, i: 2, l: 2}. What is prob of picking 1 i and 2 b? 1/28 Four letters picked without replacement from tttttwtwttwtttt. What is prob of picking 2 t and 2 w? 66/455 What is prob of picking 1 d and 1 i when two letters picked without replacement from qxqdqeiieqiqqq? 3/91 Calculate prob of picking 3 e and 1 f when four letters picked without replacement from fexeefefffxfeefe. 7/52 What is prob of picking 3 k and 1 b when four letters picked without replacement from {b: 2, y: 4, k: 2, z: 1}? 0 Three letters picked without replacement from keycmyecekyktc. What is prob of picking 1 k and 2 e? 9/364 Three letters picked without replacement from {p: 3, a: 3, r: 1}. Give prob of picking 2 p and 1 a. 9/35 Calculate prob of picking 1 u and 1 r when two letters picked without replacement from uusumshrmhmsssr. 2/35 Calculate prob of picking 1 b and 1 q when two letters picked without replacement from zqzqqmzqzqb. 1/11 Four letters picked without replacement from mmmmmxxmxxmymmxy. Give prob of picking 4 m. 9/130 Calculate prob of picking 1 i and 1 z when two letters picked without replacement from ziizzz. 8/15 Four letters picked without replacement from uuwpxpuppupwxuw. What is prob of picking 1 u, 2 w, and 1 x? 2/91 Calculate prob of picking 1 a and 1 i when two letters picked without replacement from {a: 1, i: 2, h: 2}. 1/5 Four letters picked without replacement from {i: 4, f: 2, n: 2, q: 3}. What is prob of picking 2 n and 2 q? 1/110 What is prob of picking 1 d, 2 h, and 1 l when four letters picked without replacement from lddahxxaalxxphpp? 1/455 Three letters picked without replacement from sohhjjsojjoccohjohhc. Give prob of picking 3 h. 1/114 Three letters picked without replacement from uuyisskusuuyp. Give prob of picking 3 s. 1/286 Four letters picked without replacement from {p: 5, k: 3}. Give prob of picking 4 p. 1/14 Calculate prob of picking 3 q when three letters picked without replacement from qjqhqjjqqj. 1/12 Calculate prob of picking 1 y, 1 o, and 1 x when three letters picked without replacement from {y: 2, x: 1, d: 4, o: 2}. 1/21 What is prob of picking 1 i, 1 s, and 1 h when three letters picked without replacement from {h: 2, l: 1, s: 1, i: 1, m: 1, p: 2}? 1/28 Four letters picked without replacement from {n: 1, e: 5, d: 11}. Give prob of picking 4 e. 1/476 Three letters picked without replacement from dnbnsnsngbsnbnd. Give prob of picking 1 d and 2 b. 6/455 Calculate prob of picking 1 t and 1 z when two letters picked without replacement from zztzzzzzztzttt. 45/91 Calculate prob of picking 3 r and 1 m when four letters picked without replacement from oknrormmmor. 1/110 Calculate prob of picking 1 h and 1 l when two letters picked without replacement from hlltoltlh. 2/9 What is prob of picking 2 t when two letters picked without replacement from ottddddod? 1/36 Calculate prob of picking 2 n when two letters picked without replacement from vncvvqvcvnvqlnvrcl. 1/51 Four letters picked without replacement from pwwpppzzwwwpp. Give prob of picking 1 w, 1 p, and 2 z. 6/143 What is prob of picking 2 f when two letters picked without replacement from fffffswwhhffmfhfpff? 55/171 Two letters picked without replacement from {o: 2, u: 3, l: 1, f: 1, c: 5}. Give prob of picking 1 l and 1 u. 1/22 Two letters picked without replacement from {l: 2, q: 1, v: 1, e: 1}. Give prob of picking 1 q and 1 v. 1/10 Two letters picked without replacement from {w: 2, a: 9}. What is prob of picking 2 w? 1/55 Three letters picked without replacement from {u: 1, z: 2, c: 1, m: 2, n: 1}. What is prob of picking 1 m, 1 n, and 1 u? 2/35 What is prob of picking 1 w and 1 a when two letters picked without replacement from {w: 2, o: 1, p: 1, a: 1, l: 1, s: 1}? 2/21 Calculate prob of picking 3 a when three letters picked without replacement from {a: 3, v: 5}. 1/56 What is prob of picking 1 l and 1 k when two letters picked without replacement from {l: 4, m: 3, k: 2, v: 2}? 8/55 Three letters picked without replacement from {h: 1, n: 2, v: 4, w: 2, d: 5}. What is prob of picking 1 v and 2 d? 10/91 Three letters picked without replacement from {g: 5, p: 5, s: 7, y: 2}. Give prob of picking 2 y and 1 p. 5/969 Calculate prob of picking 1 q and 1 z when two letters picked without replacement from {q: 2, z: 2, y: 2}. 4/15 Two letters picked without replacement from {o: 1, j: 6, t: 2, q: 4}. What is prob of picking 1 j and 1 q? 4/13 Two letters picked without replacement from wnnwwww. What is prob of picking 2 w? 10/21 Calculate prob of picking 1 c and 1 i when two letters picked without replacement from iwivacaiiw. 4/45 What is prob of picking 1 m and 2 u when three letters picked without replacement from {m: 6, a: 1, u: 8}? 24/65 Calculate prob of picking 2 h and 1 j when three letters picked without replacement from {v: 6, j: 4, h: 4}. 6/91 Two letters picked without replacement from jrrusutjn. Give prob of picking 1 s and 1 t. 1/36 Two letters picked without replacement from {k: 1, y: 7, o: 7, t: 2, q: 1}. Give prob of picking 1 k and 1 t. 2/153 Three letters picked without replacement from {i: 2, n: 1, e: 6, y: 4, g: 3, a: 2}. What is prob of picking 2 i and 1 a? 1/408 Two letters picked without replacement from {w: 1, o: 3, e: 2, i: 1}. What is prob of picking 1 w and 1 e? 2/21 Calculate prob of picking 1 g and 2 t when three letters picked without replacement from gtttttttgtttttg. 198/455 Calculate prob of picking 3 f when three letters picked without replacement from {k: 6, x: 1, f: 9, u: 2}. 7/68 What is prob of picking 2 w when two letters picked without replacement from wwicjmjcnmcjmjjjcicc? 1/190 Calculate prob of picking 1 a and 1 v when two letters picked without replacement from zzzvakvaakz. 6/55 Calculate prob of picking 4 g when four letters picked without replacement from {g: 6, o: 4, j: 7}. 3/476 Calculate prob of picking 2 n and 2 g when four letters picked without replacement from {g: 3, n: 15}. 7/68 Two letters picked without replacement from {i: 1, z: 19}. What is prob of picking 2 z? 9/10 What is prob of picking 1 g and 1 w when two letters picked without replacement from {g: 12, w: 7, p: 1}? 42/95 Two letters picked without replacement from {v: 6, i: 2, k: 3, q: 1}. Give prob of picking 1 v and 1 q. 1/11 What is prob of picking 3 k when three letters picked without replacement from {i: 7, k: 6}? 10/143 Calculate prob of picking 2 b when two letters picked without replacement from {l: 1, f: 2, b: 6, i: 2}. 3/11 Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {o: 2, p: 4, v: 1, s: 3, e: 6}. 1/40 Four letters picked without replacement from {n: 2, g: 1, q: 10, o: 1}. Give prob of picking 1 g and 3 q. 120/1001 Two letters picked without replacement from dsccddddlldcddcccld. Give prob of picking 1 c and 1 l. 2/19 Three letters picked without replacement from {v: 5, t: 7}. Give prob of picking 2 t and 1 v. 21/44 Calculate prob of picking 2 c and 1 b when three letters picked without replacement from ccbn. 1/4 Four letters picked without replacement from ehhehhuuhehuhhhyheu. Give prob of picking 1 e, 2 h, and 1 u. 60/323 Calculate prob of picking 1 c and 1 l when two letters picked without replacement from xccl. 1/3 Three letters picked without replacement from {n: 1, z: 3, i: 1}. Give prob of picking 3 i. 0 What is prob of picking 2 b when two letters picked without replacement from {b: 2, j: 1, n: 3, v: 10, e: 1, g: 1}? 1/153 What is prob of picking 1 b and 1 j when two letters picked withou
{ "pile_set_name": "DM Mathematics" }
ue Is 33862037 composite? True Is 1352941 composite? True Is 7970341 a composite number? True Is 23741558 a composite number? True Is 54814 composite? True Is 441156853 a prime number? True Is 2957477 a composite number? False Is 40362827 a composite number? True Is 54294641 composite? True Is 12482551 a composite number? False Is 273479873 a prime number? True Is 401069527 a composite number? True Is 2797117 composite? False Is 1607959 composite? True Is 14187289 prime? False Is 91719203 a composite number? True Is 4517873 prime? True Is 6707849 composite? True Is 4278829 a composite number? False Is 6293849 composite? False Is 2757263 a composite number? True Is 292511 composite? True Is 42936293 a composite number? False Is 59351 a prime number? True Is 7020939 prime? False Is 4669451 prime? False Is 52635593 a prime number? False Is 70524887 a composite number? False Is 92277631 a composite number? True Is 67919899 composite? True Is 1195801 prime? True Is 16830959 a composite number? False Is 299703 a prime number? False Is 3862969 a composite number? True Is 338238469 a composite number? False Is 4025031 a prime number? False Is 2270111 a prime number? True Is 11095883 a prime number? False Is 411470507 prime? False Is 208093001 a prime number? True Is 15951907 composite? True Is 457302017 composite? False Is 161013121 prime? True Is 17246969 composite? False Is 1001613 a prime number? False Is 150173609 composite? False Is 40214183 prime? False Is 11799497 a prime number? False Is 1818977 composite? False Is 773159129 prime? False Is 739171 a prime number? True Is 3938837 prime? False Is 13748149 prime? True Is 2100913 a prime number? True Is 4096819 composite? False Is 212642405 a prime number? False Is 17199553 a prime number? False Is 8604485 prime? False Is 2295677 prime? True Is 25640327 prime? False Is 150336383 prime? True Is 2921663 composite? True Is 3240493 a prime number? False Is 1762031 a prime number? True Is 4372589 a composite number? True Is 1048261 a composite number? False Is 742891 prime? True Is 6224765 composite? True Is 133654451 a composite number? True Is 1506451 a composite number? True Is 15456251 a composite number? True Is 94709 a prime number? True Is 865602593 a composite number? True Is 63934489 prime? True Is 80516893 a prime number? False Is 153687 a composite number? True Is 14480701 a composite number? False Is 1855637 prime? False Is 98301787 prime? True Is 64155379 a prime number? True Is 9218861 a prime number? True Is 10306897 a prime number? True Is 436337 a prime number? False Is 53149039 a composite number? False Is 26501989 composite? True Is 1905577 composite? False Is 111332183 a prime number? True Is 4588579 prime? False Is 27786061 composite? False Is 28359047 a prime number? False Is 419960089 a prime number? False Is 13239703 prime? True Is 48699667 a prime number? False Is 76885423 prime? True Is 2661611 prime? True Is 975899 prime? True Is 485016367 a composite number? True Is 205513859 prime? True Is 9482737 a prime number? False Is 315965527 a composite number? True Is 69468877 composite? False Is 1197049 prime? False Is 966071 composite? True Is 3844471 composite? True Is 364853 prime? True Is 62008846 composite? True Is 58613939 a prime number? True Is 160424795 a composite number? True Is 92847163 a composite number? False Is 51549007 prime? True Is 16441262 a prime number? False Is 297497191 composite? False Is 640488791 composite? False Is 699585511 a composite number? False Is 292644487 a prime number? True Is 31700803 a composite number? False Is 1081477 composite? False Is 31356331 a composite number? True Is 24286727 a prime number? False Is 359861 prime? False Is 45288262 a prime number? False Is 23587999 prime? True Is 719503 a prime number? True Is 277408831 composite? True Is 519162199 a prime number? False Is 397411349 prime? True Is 241644791 a composite number? True Is 1842017 a prime number? False Is 1696449 a prime number? False Is 139619 composite? False Is 31885921 composite? False Is 43044047 a composite number? False Is 2081179 a composite number? True Is 156117113 a prime number? False Is 3555217 a prime number? True Is 158973449 a prime number? False Is 7919893 a composite number? False Is 52332641 a composite number? False Is 8263769 prime? True Is 236987 composite? True Is 882917 a composite number? True Is 10630511 composite? True Is 562333 composite? False Is 1851809 a prime number? True Is 467429 a prime number? False Is 269534659 a prime number? True Is 1668197 prime? True Is 510939193 prime? False Is 138388499 prime? True Is 15008731 a composite number? False Is 30151921 prime? True Is 377471681 composite? False Is 76914559 a prime number? False Is 11284127 prime? True Is 3400741 composite? True Is 16255903 a composite number? False Is 16831379 composite? False Is 180978065 prime? False Is 10083607 a composite number? True Is 3334543 composite? False Is 532910927 composite? False Is 190241 composite? True Is 2257069 a prime number? True Is 3453587 prime? True Is 206181463 composite? True Is 13923457 a composite number? False Is 108243991 a composite number? False Is 76389319 composite? True Is 6555487 prime? False Is 8340701 a prime number? False Is 6710765 prime? False Is 79593457 prime? False Is 432243917 prime? False Is 6814817 composite? True Is 133294369 prime? False Is 43197851 composite? True Is 11346649 a composite number? True Is 78814433 prime? True Is 2530519 prime? True Is 257419541 a composite number? False Is 777323 a prime number? False Is 2933701 a composite number? True Is 739979 a composite number? True Is 4945411 prime? True Is 725635933 a composite number? True Is 1034417971 prime? False Is 22720127 a composite number? False Is 16232459 a composite number? False Is 8598019 prime? False Is 383208707 composite? True Is 4738535 a prime number? False Is 14771738 prime? False Is 2139061 prime? False Is 93983465 composite? True Is 361792147 composite? True Is 27085063 a composite number? True Is 560321 a prime number? False Is 1535041 a composite number? False Is 9368041 prime? True Is 5404423 prime? False Is 100691 composite? True Is 28882933 prime? False Is 27486617 composite? True Is 735775207 a composite number? False Is 22675307 a prime number? True Is 185108551 a composite number? False Is 628423 prime? True Is 3266891 composite? True Is 9877111 a composite number? True Is 1058711 a prime number? True Is 1603187 composite? True Is 554200707 a composite number? True Is 27730943 composite? False Is 87675391 composite? True Is 3376567 composite? False Is 3266449 composite? True Is 23954401 a prime number? False Is 24535249 composite? True Is 2348161 composite? False Is 25656483 composite? True Is 93808999 prime? True Is 145427719 a prime number? False Is 231808631 prime? True Is 497011 a prime number? True Is 14812841 prime? True Is 555089215 a composite number? True Is 1327871 a composite number? False Is 254251 prime? False Is 137996263 a prime number? True Is 954641 a composite number? False Is 1309469 composite? True Is 10041553 prime? False Is 1831889 prime? False Is 8777617 composite? False Is 30305107 prime? False Is 25593523 composite? False Is 220823 prime? False Is 3878913 prime? False Is 93561257 prime? True Is 74627981 a composite number? False Is 12459163 composite? False Is 3352667 composite? True Is 1118519 prime? True Is 7185019 prime? True Is 452855531 a composite number? False Is 26386799 a composite number? True Is 5409949 a prime number? False Is 111497539 a composite number? True Is 329684081 a prime number? False Is 9714781 composite? True Is 19397197 prime? True Is 26249837 a prime number? True Is 201265 a prime number? False Is 578869 a prime number? False Is 122836573 a prime number? False Is 230472083 composite? False Is 8438591 a prime number? False Is 9928043 composite? False Is 821263 a prime number? True Is 104640001 a prime number? False Is 27676105 a prime number? False Is 73412707 composite? True Is 9191627 a composite number? False Is 676441 a prime number? False Is 175247 prime? False Is 133769 a composite number? False Is 2204119 a prime number? False Is 13176419 prime? True Is 1123777 a composit
{ "pile_set_name": "DM Mathematics" }
**5*s)/s**(-1/4) assuming s is positive. s**(-7/4) Simplify (d**(1/8)/d**0)**39 assuming d is positive. d**(39/8) Simplify ((((g/(g*g**(1/5)*g*g))/g*g*g)/g)/g**4)**(-36/7) assuming g is positive. g**(1116/35) Simplify (a**(2/5)/a)**(-1/5)*(a*a**1)**23 assuming a is positive. a**(1153/25) Simplify ((b**(2/3))**12)**6 assuming b is positive. b**48 Simplify ((j**(-1))**33)**24 assuming j is positive. j**(-792) Simplify (q/(q**(-43)*q))/(q*(q*q**(-35)*q)/q) assuming q is positive. q**76 Simplify (r**(-1)*r)**34/(r*r**0/r*r)**(-13/7) assuming r is positive. r**(13/7) Simplify (q*(q*q**(-1/2))/q*q**(3/8))/((q**(-2/15)*q*q)/q**(-2)) assuming q is positive. q**(-359/120) Simplify b*b*b**18*b*b**9 assuming b is positive. b**30 Simplify ((z**(-4)*z)/z**6)/((z/(z/z**(-6)))/z*z*z*z**(-1/3)/z*z) assuming z is positive. z**(-11/3) Simplify (y/(y*(y*y**4)/y)*y)**(-14) assuming y is positive. y**42 Simplify (k/(k**36/k))/k**(-4/13) assuming k is positive. k**(-438/13) Simplify (v/v**(-45))/(v**27/v) assuming v is positive. v**20 Simplify b**12*b*b**6/b assuming b is positive. b**18 Simplify (a*a*a**0)**(-36)/(a**(-2/3))**(-3) assuming a is positive. a**(-74) Simplify ((d*d**6)/d*d**(-6))/(d/(d/(d/d**1))*d)**(-43) assuming d is positive. d**43 Simplify o**(11/5)*o**19*o assuming o is positive. o**(111/5) Simplify (((u*u**5*u)/u)/u)**(1/16) assuming u is positive. u**(5/16) Simplify (c/(c**4*c*c)*c*c*c**(-1/12))/(c*c*(c/(c**(2/9)*c))/c)**27 assuming c is positive. c**(-289/12) Simplify (u**1)**(-5/16) assuming u is positive. u**(-5/16) Simplify (n**(3/5)*n*n*n**7)/(n*n/n**(-5)*n**(-1/2)) assuming n is positive. n**(31/10) Simplify ((h**(1/4))**(2/17))**(-6/5) assuming h is positive. h**(-3/85) Simplify (b**(-4/7)*b**6)/(b*b/b**(-2/7)*b)**40 assuming b is positive. b**(-126) Simplify (a*a/a**(-2/35)*a*a*a/((a/(a/a**(6/5)))/a))**9 assuming a is positive. a**(306/7) Simplify ((i*(i*(i/i**(-1/5))/i)/i*i)/(i**(1/3)/i))/((i*i**(-2/15))/(i*i/(i*i**(2/15)))) assuming i is positive. i**(43/15) Simplify (m*m**(-1/2)/m*m**2*m*m)/(m**(2/9))**0 assuming m is positive. m**(7/2) Simplify (w*((w*(w*w**(2/3)/w)/w*w)/w*w)/w)**(-8/3)*(w/((w/w**(-4))/w))/w**(1/2) assuming w is positive. w**(-143/18) Simplify (m**(-11/5)*m*m**(-3/8)/m)**(-36) assuming m is positive. m**(927/10) Simplify (d**(-1/2)/d*d*d*d**(-6)*d*d)/(d**1)**(-23/6) assuming d is positive. d**(1/3) Simplify ((c**(-3))**(-1/15))**(-14/11) assuming c is positive. c**(-14/55) Simplify ((d/(d/d**(-1/4)))/d**(-6/11))**(2/41) assuming d is positive. d**(13/902) Simplify o/((o/((o/o**19)/o))/o)*o*o**26*o assuming o is positive. o**10 Simplify (w**13)**(-2/91) assuming w is positive. w**(-2/7) Simplify (m**(-3/8))**(-26) assuming m is positive. m**(39/4) Simplify (k*k*k*k**(-2/7)*k)**(-15)/(k**0)**(3/14) assuming k is positive. k**(-390/7) Simplify (v**(-23)*v*v*v*v/(v**(2/5)*v*v)*v*v)**(-36) assuming v is positive. v**(3492/5) Simplify (j/(j/j**(-7))*j)**(-37) assuming j is positive. j**222 Simplify (f/(f/(f*f/(f*f**(3/35)*f))*f))/(f*f**(-2/49)) assuming f is positive. f**(-501/245) Simplify (c**(2/5)*c*c)**(-12)/(c**(1/4)/(c*c*c**(1/2))) assuming c is positive. c**(-531/20) Simplify ((t*t**(-1/2)*t)**(-7/5))**(2/101) assuming t is positive. t**(-21/505) Simplify (m**1)**8/(m/m**(-9)*((m**(5/4)/m*m)/m)/m*m) assuming m is positive. m**(-9/4) Simplify ((v/(v*v**(-3/10)))/v)/v*v*v/(((v/(v/((v/(v/(v*v**(1/3))))/v)))/v)/v)*(v/v**2)**(-3/17) assuming v is positive. v**(1093/510) Simplify (((x/(x*(x/(x/(x**(5/6)/x)))/x))/x)**(-8/15))**(-39) assuming x is positive. x**(52/15) Simplify (g*g**(2/5))/g**(1/8) assuming g is positive. g**(51/40) Simplify (d**(-3)/d)**(25/7)/(d*d**(-1/5))**(-31) assuming d is positive. d**(368/35) Simplify (m*m**(3/4)*m)/(m*m**(10/9))*m/m**(1/16)*m**(5/2) assuming m is positive. m**(587/144) Simplify ((d/(d*d**(5/6)*d))/d*(d**(-2/9)/d)/d)/(d/d**(-2/7))**(17/2) assuming d is positive. d**(-1007/63) Simplify q**(-18)/q*q**(-5/9) assuming q is positive. q**(-176/9) Simplify h/(h**(-1/16)/h)*h*h/(h*h**(8/5)*h*h)*h assuming h is positive. h**(37/80) Simplify ((c**4)**(-18))**49 assuming c is positive. c**(-3528) Simplify (x**(-10))**(-13/8) assuming x is positive. x**(65/4) Simplify m**(-7/2)/m*(m**(-5/7)*m)/m*(m**(-1))**(-17/4) assuming m is positive. m**(-27/28) Simplify (c*c**(-2/9))/(c**10/c) assuming c is positive. c**(-74/9) Simplify j**(-41)/j*j*j**(-34/5)/j assuming j is positive. j**(-244/5) Simplify z**(-5)/(z*(z/(((z/((z/(z*z**(-1)))/z))/z)/z))/z)*z**(-1/6)/z**(-1/11) assuming z is positive. z**(-467/66) Simplify m**(21/5)*m**10 assuming m is positive. m**(71/5) Simplify (i**(2/13)*i)/(i*i/((i**35/i)/i)) assuming i is positive. i**(418/13) Simplify (x**(6/11))**17 assuming x is positive. x**(102/11) Simplify (d*d**(-2/5))**12/(d*d*d/d**(-1/2)*d*d*d**(-3)/d) assuming d is positive. d**(57/10) Simplify (l*l**(-1)*l)**(-13)*(l**(-2/3))**(-32) assuming l is positive. l**(25/3) Simplify (s**(-2/3)*s)**(-22) assuming s is positive. s**(-22/3) Simplify ((v**(2/5)/v*v)**(5/2))**(24/5) assuming v is positive. v**(24/5) Simplify (x*x/(x**(-4/7)*x)*x**(2/7))**8 assuming x is positive. x**(104/7) Simplify d**30*d**(-24) assuming d is positive. d**6 Simplify (c**30)**(39/4) assuming c is positive. c**(585/2) Simplify (z**(-6/13))**12 assuming z is positive. z**(-72/13) Simplify ((t*t**(1/2))/(t/(t*(t/(t/(t/(t/(t*t/t**(-3/14)*t)))))/t)))**(7/9) assuming t is positive. t**(26/9) Simplify ((l/l**1)**(-2))**(-40) assuming l is positive. 1 Simplify ((a/(a/(a**2*a)))/(a*a*a**(-16)*a*a))**(-3/7) assuming a is positive. a**(-45/7) Simplify s/(s/s**(4/3))*(s**(-4)*s)/s*(s*s/s**3*s)/s**(-3/8) assuming s is positive. s**(-55/24) Simplify (o**(-1)*o)**0*o/(o**(-1/4)*o*o*o)*o*o**(-2/3)*o assuming o is positive. o**(-5/12) Simplify d**14*d*d*d**(-8) assuming d is positive. d**8 Simplify l**(-3)/(l*l/l**(-11)) assuming l is positive. l**(-16) Simplify (w**(1/2)/w**(-1))/((w*w/((w*w**(-2))/w))/w**(-4/7)) assuming w is positive. w**(-43/14) Simplify (g*g/(g/g**(-3/4)))/g**5*(g*(g/(g**(-1/5)/g))/g*g*g)/(((g*g**5)/g)/g) assuming g is positive. g**(-91/20) Simplify k**(1/22)*k*k**16/k assuming k is positive. k**(353/22) Simplify q**(-5)*q**(2/59) assuming q is positive. q**(-293/59) Simplify ((c/(c*(c**(-2/7)/c)/c))**(2/3))**(-45) assuming c is positive. c**(-480/7) Simplify r**(-4)*r**(1/4)/r*r*(r**(2/7))**(11/6) assuming r is positive. r**(-271/84) Simplify m/(m*m**32)*m*m**(-25) assuming m is positive. m**(-56) Simplify (a*a**(-5)*a*a)**36 assuming a is positive. a**(-72) Simplify (x**(-1)/x)**(2/15)*x**(2/9)/x**(2/11) assuming x is positive. x**(-112/495) Simplify ((y/y**5)**(-2))**32 assuming y is positive. y**256 Simplify (z**(-4/5)/z)**(-39) assuming z is positive. z**(351/5) Simplify (a*a**3*a/(a/(a/(a*a/(a**(-2/19)*a)*a))))**(2/37) assuming a is positive. a**(110/703) Simplify (g*g*g/g**(1/3))/((g*g*(g/g**(2/9))/g)/g)*g*g**(-2/3)*g**(-2) assuming g is positive. g**(2/9) Simplify ((h**(-1))**(-3/11))**1 assuming h is positive. h**(3/11) Simplify s**(12/17)*s/(s*s**31*s) assuming s is positive. s**(-532/17) Simplify c**25/(c/(c*(c**(-12/5)/c)/c)) assuming c is positive. c**(103/5) Simplify d**(-16)*d**(2/11)/d assuming d is positive. d**(-185/11) Simplify ((g*g*(g*((g*g*g*g**(-8)*g)/g)/g)/g*g*g)/g)**(-12/19) assuming g is positive. g**(36/19) Simplify k/(k/(k/(k*k/k**(-15))))*k*k/k**(-20)*k*k assuming k is positive. k**8 Simplify (u**(-19))**4 assuming u is positive. u**(-76) Simplify v*v**1*v*v**(-2/15)*v**(2/17)*v**6 assuming v is positive. v**(2291/255) Simplify d**(-11/2)*d*d**(3/5)*d*d*d assuming d is positive. d**(-9/10) Simplify (((r**1/r)/r)**(-23))**(2/81) assuming r is positive. r**(46/81) Simplify d/(((d/d**0)/d)/d)*d**8 assuming d is positive. d**10 Simplify g/(g*g**(-8)/g)*g*(g*g**(2/5)*g)/g*g*g/((g/g**(-2))/g)*g*(g*(g*g**5)/g*g)/g assuming g is positive. g**(92/5) Simplify ((r/(r/r**(-3)))/r*r*r/(r/((r**(-1)*r)/r)))/((r*r**(-2/17)*r)/(r**(-1/5)*r)) assuming r is positive. r**(-432/85) Simplify v/((v/v**(-47)*v*v)/v*v)*v**(-2/51)*v assuming v is positive. v**(-2450/51) Simplify (z**(-1)*z)**(-6/7) assuming z is positive. 1 Simplify o**36/(o*o**(-10/11)) assuming o is positive. o**(395/11) Simplify (o**(-6
{ "pile_set_name": "DM Mathematics" }
f 1/12*w**4 + 0*w - 1/2*w**h + 2*w**2 + 0. What is the first derivative of f(g) wrt g? 2 Suppose -3*z = g, 2*g + z = -2*z. Let q = 5 - 1. What is the third derivative of o**4 - 4*o**q + g*o**2 + o**2 wrt o? -72*o Suppose 0 = 6*t - 3*t - 9. What is the third derivative of -3 + 11 - 5*k**4 + t*k**2 - 8 wrt k? -120*k What is the derivative of 25 + 18 - 37 + 5*x wrt x? 5 Let d = 2 + 3. What is the first derivative of -10*g**3 + d - 2 + 10*g**3 - 3*g**4 wrt g? -12*g**3 Let k be 10/3 - 3/9. Suppose -k*l = 3*s - 15, 4*s - 2*l - 7 = 13. Find the second derivative of o - 2*o**5 - 2*o + o**s wrt o. -20*o**3 Let w be ((-5)/3)/((-5)/15). Let n = w + -4. Find the second derivative of -4 - 2*j + n - 4*j**2 + 3 wrt j. -8 Let m(w) be the first derivative of 0*w**2 + 3/4*w**4 - 5 + w + 0*w**3. Find the first derivative of m(z) wrt z. 9*z**2 Suppose 10 = 4*n + 26. Let w(l) = 19*l**2 + 11*l + 7. Let z(k) = -10*k**2 - 5*k - 4. Let v(p) = n*w(p) - 7*z(p). Find the second derivative of v(d) wrt d. -12 Let h(d) be the first derivative of -7*d**4/2 - 13*d**3/3 + 10. What is the third derivative of h(o) wrt o? -84 Let q = -6 - -6. Suppose q = -5*a + a + 32. What is the derivative of 9*x**3 + 1 - a*x**3 + 2*x**3 wrt x? 9*x**2 Let q(o) = 5*o**2. Let x be q(1). Suppose -y - x = 0, 0 = 3*u + y - 3*y - 13. What is the second derivative of 1 + v - u + 2*v**5 wrt v? 40*v**3 Find the second derivative of -4*k + 2*k + 67*k**4 - 69*k**4 wrt k. -24*k**2 Let n(s) = -s - 2*s - 2*s + 6*s - 3. Let q be n(6). What is the second derivative of -r**3 - 3*r + 4*r**3 - q*r + 8*r wrt r? 18*r Let f(r) = r**3 - r**2 + 1. Let t(b) = -14*b**3 + 6*b**2 - 4. Let x be (32/(-28) + 2)*-7. Let v(m) = x*f(m) - t(m). Differentiate v(p) wrt p. 24*p**2 Let q(f) be the third derivative of -f**9/84 + 3*f**5/10 + f**3/6 + 47*f**2. Find the third derivative of q(o) wrt o. -720*o**3 Let p(c) = -c**4 + c**3 + c**2. Let b(s) = -s**6 + 4*s**4 - 4*s**3 - 2*s**2. Let o(n) = -3*b(n) - 12*p(n). Find the third derivative of o(t) wrt t. 360*t**3 Let l(t) be the second derivative of -13*t**8/56 - t**4 + t. Find the third derivative of l(q) wrt q. -1560*q**3 Let f(r) be the second derivative of -5*r**4/6 + 47*r**3/6 + 4*r + 3. Find the second derivative of f(k) wrt k. -20 What is the first derivative of -106*l - 1 + 5 + 135*l wrt l? 29 Let z = 13 - 10. What is the third derivative of -6*i**2 - 2*i**2 + 5*i**2 + 2*i**z wrt i? 12 Let f(c) be the first derivative of -6*c + 0*c**3 - 7 - 3/2*c**4 + 0*c**2. Differentiate f(b) wrt b. -18*b**2 Find the second derivative of 7*l + 0*l**2 - 7*l**3 + l + 0*l**2 wrt l. -42*l Suppose -s + 2 = -4. Suppose n = s*n - 15. What is the third derivative of n*q**4 - 4*q**2 - 7*q**4 + q**2 wrt q? -96*q Let r(z) = -45*z**3 - 39*z**2 + 9. Let n(m) = -11*m**3 - 10*m**2 + 2. Let v(t) = 9*n(t) - 2*r(t). Find the third derivative of v(i) wrt i. -54 Let w(v) = 34*v**5 + 7*v**2 + 6*v. Let a(k) = -11*k**5 - 2*k**2 - 2*k. Let y(m) = -7*a(m) - 2*w(m). What is the second derivative of y(f) wrt f? 180*f**3 Let g(t) = t**2. Let w(o) = -10*o**4 - 4*o**2. Let v(p) = -2*g(p) + w(p). What is the third derivative of v(y) wrt y? -240*y Let u(n) = -n**3. Let s = -10 - -8. Let g(w) = 3*w**4 - 2*w**3 + 4*w. Let t(i) = s*u(i) + g(i). Find the second derivative of t(j) wrt j. 36*j**2 Let r(b) = 2*b**3. Let l be r(-1). Let c = l - -4. What is the derivative of -1 - h**2 + 3 + 3*h**c wrt h? 4*h Let j = -2 + 5. Let f(o) be the second derivative of 0*o**2 + 1/6*o**4 + 0*o**5 + 0*o**j + 1/15*o**6 + 0 - 2*o. What is the third derivative of f(q) wrt q? 48*q Let c(m) be the first derivative of -2*m**7/105 - m**3/2 - m**2/2 - 1. Let z(v) be the second derivative of c(v). What is the first derivative of z(b) wrt b? -16*b**3 Suppose -30 = -5*q - 5, 5*q = n + 22. What is the third derivative of 3*j**3 + 0*j**2 + j**2 - 2*j**n wrt j? 6 Let q(r) be the second derivative of 4*r**7/21 - 5*r**4/12 + 8*r. What is the third derivative of q(v) wrt v? 480*v**2 Suppose -4*t + 4 = -2*t. Let d(l) be the second derivative of 0 + l - 1/6*l**4 - 1/6*l**3 + 0*l**t. Find the second derivative of d(q) wrt q. -4 Let n(d) = d**3 - 2*d**2 + d. Let w be n(2). What is the third derivative of 5*h**w - h**5 + h**5 + 0*h**2 + 2*h**5 wrt h? 120*h**2 Let o(d) be the second derivative of -d**5/120 + d**4/24 - 5*d**3/6 - 4*d. Let q(a) be the second derivative of o(a). What is the derivative of q(f) wrt f? -1 Let l = -563/6 + 94. Let g(r) be the first derivative of l*r**6 - 1/2*r**2 + 0*r**5 + 0*r**3 + 0*r + 1 + 0*r**4. What is the second derivative of g(o) wrt o? 20*o**3 Let s(h) be the second derivative of h**7/840 + h**5/24 + h**4/12 - 4*h. Let z(l) be the third derivative of s(l). Find the first derivative of z(u) wrt u. 6*u Let q(d) be the second derivative of -d**4/12 - d**3/6 + d**2/2 + 2*d. Let p be q(0). Find the first derivative of z - p - 2*z - z wrt z. -2 Let c(h) = -37*h + 1. Let u be c(1). Let o be 2/5 - u/10. What is the third derivative of 2*v**4 + v**2 - 4*v**o + v**4 wrt v? -24*v Let g(f) be the third derivative of f**6/180 - f**4/24 - f**3/3 + 3*f**2. Let o(b) be the first derivative of g(b). What is the derivative of o(w) wrt w? 4*w Let p(y) = -11*y**3 - 13*y**2 + 5*y. Let n(q) = -6*q**3 - 6*q**2 + 2*q. Let h(o) = -5*n(o) + 2*p(o). What is the third derivative of h(x) wrt x? 48 Let g(n) be the first derivative of n**9/1512 + 7*n**5/120 - 8*n**3/3 - 4. Let h(x) be the third derivative of g(x). Find the second derivative of h(w) wrt w. 40*w**3 What is the first derivative of -17 + a - a - 4*a wrt a? -4 Suppose 0*z - 3*z = -6. Let p be (2 + z + -3)*4. What is the second derivative of 4*h**4 - h**4 - 5*h**p + 2*h wrt h? -24*h**2 Let p(f) = -f**3 - 3*f**2 + 5*f + 6. Let w(q) = q**2 - 4*q - 1. Let g be w(3). Let y be p(g). Differentiate y*n**3 + 0 + 1 + 2*n**3 - 6*n**3 with respect to n. -6*n**2 Let p(j) = 15*j**4 - 9*j - 13. Let q(w) = 8*w**4 - 5*w - 6. Let c(l) = 6*p(l) - 13*q(l). Find the second derivative of c(z) wrt z. -168*z**2 Let j(d) = -3*d**4 - 9*d**2 + 5*d + 5. Let p(o) = 15*o - 18*o + 2*o**4 + 5*o**2 + 3 - 6. Let a(g) = 3*j(g) + 5*p(g). What is the third derivative of a(t) wrt t? 24*t Let c(z) be the first derivative of -z**9/756 + z**6/90 + 4*z**3/3 - 2. Let b(o) be the third derivative of c(o). What is the third derivative of b(q) wrt q? -240*q**2 Let b(f) be the first derivative of -5*f**4/2 + 2*f**2 - 10. Find the second derivative of b(p) wrt p. -60*p Find the second derivative of l - 14*l**3 + 19*l**3 - 24*l**3 wrt l. -114*l Let s(a) = 12*a + 1. Let n(c) = c. Let t(w) = 2*n(w) - s(w). Differentiate t(o) wrt o. -10 Let s(i) be the first derivative of 23*i**6/6 - 44*i**3/3 - 48. What is the third derivative of s(a) wrt a? 1380*a**2 Let k(o) = 6*o**3 + 3*o**2 - 2*o - 3. Let n(u) = -30*u**3 - 14*u**2 + 10*u + 14. Let i(r) = 14*k(r) + 3*n(r). What is the second derivative of i(g) wrt g? -36*g Suppose -4*z = -0*d - 3*d - 8, 5*d = -5*z + 45. Find the second derivative of 2*p**d - 3*p - p - p**4 wrt p. 12*p**2 Suppose -5*u + 15 = -2*m, 15 = -5*u + 4*u + 4*m. What is the second derivative of 5*q**2 - 5*q**2 - 5*q**u + q wrt q? -100*q**3 Suppose 0 = -5*y + m - 2 + 7, -2*y + 2 = m. What is the derivative of -2 - 3 + y - 6*s**3 wrt s? -18*s**2 Let r(g) be the first derivative of 1/6*g**3 + 1 - 1/24*g**4 + 1/2*g**2 + 0*g. Let z(q) be the second derivative of r(q). Differentiate z(o) wrt o. -1 Let z(b) = -4*b - 19. Let q(l) = 13*l + 58. Let a(s) = -4*q(s) - 11*z(s). What is the first derivative of a(n) wrt n? -8 Find the second derivative of 7*r**4 - 12*r + 244*r**3 - 244*r**3 wrt r. 84*r**2 Suppose f - 2 = 4*t, -4*t + 0 = -3*f + 6. Find the third derivative of 6*d**3 + 2*d**3 + 17*d**f - 10*d**2 wrt d. 48 Let y(t) = 5*t**3 - 3*t**2 - 2. Let m(w) = -10*w**3 + 5*w**2 + 4. Let b be 0 + (-3)/(-6)*10. Let g(a) = b*y(a) + 3*m(a). Differentiate g(s) with respect to s. -15*s**2 Suppose 16 = 2*q + 3*z, 5*q - 15 - 18 = -4*z. Find the second derivative of 4 + 3*f - 2 - 2 - f**q wrt f. -20*f**3 Let s(f) be the first derivative of f**7/210 - 2*f**3/3 - f**2 + 4. Let a(x) be the second derivative of s(x). Find the first derivative of a(p) wrt p. 4*p**3 Let l(f) = f + 16. Let q be l(-13). Differentiate a**2 + a**2 + a**2 + q + 3*a**2 wrt a. 12*a Let
{ "pile_set_name": "DM Mathematics" }
the remainder when w(-18) is divided by 8? 2 What is the remainder when -4 + (-27 - -15 - -218) is divided by 62? 16 Suppose -32*l = -30*l - 10. Calculate the remainder when 34 is divided by (-7)/l*(-14 - -9). 6 Suppose -4*o + 1488 = 4*j, -3*o - 1110 = 5*j - 8*j. What is the remainder when j is divided by ((-312)/40 + 9)/(3/85)? 31 Suppose 3*c - 15 = 15. Let d(k) = -k**3 + 10*k**2 + k - 13. Let m be d(c). Calculate the remainder when 157 is divided by (-9)/((-162)/732) + 2/m. 37 Suppose -5*z - l = -24189, -5741 = -z + 2*l - 912. Calculate the remainder when z is divided by 41. 40 Let n(x) = -3*x + 23*x**2 + 4*x + 54 + 12*x + 10*x + x**3. What is the remainder when 51 is divided by n(-22)? 19 Suppose 0 = 4*v - 4*f - 548, 0 = 364*v - 361*v + 2*f - 426. Calculate the remainder when v is divided by 120. 20 Let n = -8 - -11. Let o(h) = -h**3 - 5*h**2 - 6*h - 7. Suppose 17*r + 16 = 13*r. Calculate the remainder when n is divided by o(r). 0 Suppose 2197 = 2*m + 3*w, m = w + 1349 - 243. Suppose 4624 = 7*j + m. What is the remainder when j is divided by 36? 35 Let c = 2057 + -1910. Let b = 0 - -2. Suppose b*p + 15 = -u + 78, 0 = -4*p + 2*u + 114. Calculate the remainder when c is divided by p. 27 Let y be (-6)/(-27) - 48/(-27). Let f(p) = 32*p - 2. Suppose 1762 + 4667 = 762*t - 3477. What is the remainder when f(y) is divided by t? 10 Suppose -133 = -2*a - 3*p - 9, -a + 2*p = -34. What is the remainder when 799 is divided by a? 49 Suppose -3*d = -874 + 241. Let h = 230 - d. What is the remainder when 322 is divided by h? 18 Suppose -2*l - 3*c + 77 = -335, -5*c + 1010 = 5*l. Calculate the remainder when 267 is divided by l. 73 Let w(v) = -461*v**3 + 8*v - 7. Let a be w(1). Let y = 495 + a. Calculate the remainder when y is divided by 9. 8 Suppose 148*c - 141*c = 952. What is the remainder when 671 is divided by c? 127 Suppose 0 = -2*j - 3*y + 66, 0*j + 5*j - 148 = y. Let q be 5/10*-4 + -3 - -87. Suppose 8*c - j = q. Calculate the remainder when c is divided by 8. 6 Let s = 183 + -172. Calculate the remainder when (42/((-35)/(-5)))/((-3)/(-10)) is divided by s. 9 Let q = 482 + -280. Suppose -4*y - c = -790, -17*y - 2*c = -18*y + q. Calculate the remainder when y is divided by 20. 18 Let b = -9340 - -9790. What is the remainder when b is divided by 440? 10 Let w = -20502 + 20583. Calculate the remainder when 803 is divided by w. 74 Suppose -61673*c + 20482 = -61651*c. What is the remainder when 945 is divided by c? 14 Let y = -18364 + 18375. Calculate the remainder when ((-2)/(-4))/(4/400) is divided by y. 6 Let a = -223 + 39. Let t = -145 - a. Let j(r) = -2*r**2 + 15*r + 6. Calculate the remainder when t is divided by j(6). 15 Suppose 362 = 96*n - 375 - 223. Suppose 0 = c - 5*c + 36. Calculate the remainder when n is divided by c. 1 Let v(l) = -l - 1. Let q = -21 - -15. Let y = 5185 + -5179. What is the remainder when y is divided by v(q)? 1 Let z = 1812 + 362. Calculate the remainder when z is divided by 32. 30 Let t(o) = o**3 + 25*o**2 - 22*o + 172. Calculate the remainder when 201 is divided by t(-26). 65 Suppose -a + 4*s = -3, 7*a - 4*a - 9 = -5*s. Calculate the remainder when 1154 is divided by a. 2 Calculate the remainder when 2706 is divided by 156/21 + (2 - 40/28). 2 Suppose -2*d + 0*n = -3*n + 8, -d + 5 = 3*n. Let u be d - -4 - 32/(-1). Let o = u - 29. Calculate the remainder when 27 is divided by o. 3 Let r(f) = 4*f - 31. Let s be r(13). Let k = s + -18. Suppose k*d = -2*j + 186, -3*d - 4*j = d - 244. Calculate the remainder when d is divided by 33. 31 Let w(c) = -c**3 + 32*c**2 - 22*c - 539. What is the remainder when w(24) is divided by 38? 7 Let h = -320 + 317. Suppose -1 = 2*p - 7. Calculate the remainder when (11 + (-595)/68)/(h/(-16)) is divided by p. 0 Suppose 2*t + 4*l = 914, 5*l + 575 = 3*t - 796. What is the remainder when t is divided by 97? 69 Let s be (-228)/(-16) - 3/(-4). Suppose v - b - 21 = -v, -3*v = 4*b - s. Calculate the remainder when 35 is divided by v. 8 Suppose 16*k - 764 - 19044 = 0. What is the remainder when k is divided by 73? 70 Suppose -51*r + 48*r - 3260 = -5*m, 4*m = 5*r + 2621. Let y = m + -578. What is the remainder when 350 is divided by y? 66 Let p(o) = o**3 + 4*o**2 - 2*o - 4. What is the remainder when -1 + -1 + 299/(1426/62) is divided by p(-4)? 3 Suppose 0 = 214*w + 74*w - 4032. Let d(q) = -q + 53. Calculate the remainder when d(0) is divided by w. 11 Suppose -2*p + 5*p + 40 = 5*r, 0 = -5*r + 10. Let j be (-1126)/p + (-10)/(-25). Suppose -v - j = -s + 2*v, 2 = v. What is the remainder when s is divided by 11? 9 Let k = 7952 + -7947. Let x be (1/(-2))/1*0. Suppose 5*u = -x + 140. What is the remainder when u is divided by k? 3 What is the remainder when 226 is divided by ((-15)/12)/(36/(-288))? 6 Let l be -1*(0 - (-2)/2). Let f be (l/(-2))/(8/(-16)). Calculate the remainder when 58 is divided by (-3)/((9/30)/(-3)) - f. 27 Let r = 2 - -16. Suppose t - 14*w - 102 = -r*w, -4*t + 353 = 5*w. Calculate the remainder when 489 is divided by t. 79 Let p(w) = -w**2 - 2*w - 3. Let o be p(-3). Let x = 38680 - 38652. What is the remainder when x is divided by ((-30)/(-9))/((-2)/o)? 8 Let u be (-3 - -6) + 1 + -3 + -1. Suppose -k - q + 7 = -17, u = -3*q. Calculate the remainder when (7/4)/(k/96) is divided by 3. 1 Suppose 36 = 5*a - 2*a. Let u(c) = c**2 - 11*c + 7. Let b be u(a). Let i(k) = k**2 - 18*k + 41. What is the remainder when i(b) is divided by 13? 8 Let l(m) = 2865*m + 149008. Let q = 279 - 179. Calculate the remainder when q is divided by l(-52). 16 Let n = 251 + -249. What is the remainder when -1*8/(-1) - 1 is divided by (-1)/(-4)*((-32)/n + 36)? 2 Suppose 108 = -102*u + 111*u. Calculate the remainder when 68 is divided by u. 8 Suppose -4*s + 28 = -28. Let g(w) = -3*w**2 - 2*w + 41. Let z = -276 - -276. Calculate the remainder when g(z) is divided by s. 13 Calculate the remainder when 249 is divided by 2871/88 + 55/(-88). 25 Suppose 0 = -11095*l + 11104*l - 15957. What is the remainder when l is divided by 20? 13 Suppose -w + 5*i = -738, 5*w - 9*w = 2*i - 3018. What is the remainder when w is divided by 9? 6 Let a = 2021 + -1418. Suppose -3*n - 367 = -2*l, 11*n + l + a = 6*n. Calculate the remainder when (3 - -1)/((-44)/n) is divided by 8. 3 Let y(z) = z**3 + 4*z**2 - 8*z - 28. Let b be y(-3). Suppose 259 = 12*u - b*u. Calculate the remainder when u is divided by 22. 15 Let h be ((-220)/3)/((-6)/36). Let w = h - 230. Calculate the remainder when w is divided by 24. 18 Suppose 0 = 4*o + 6*v - 1342, 0 = -0*o - 3*o - 3*v + 1011. Calculate the remainder when o is divided by 117. 106 Let w = -227 + 318. Let d = w - 65. Suppose 237*o + 1664 = 250*o. What is the remainder when o is divided by d? 24 Suppose 3*r + 19*r - 714 = 8*r. What is the remainder when 146 is divided by r? 44 Let b(i) = i**3 - 2*i**2 - 7*i + 49. Suppose 6*p + 3*s - 3 = 3*p, -4 = p + 2*s. Calculate the remainder when b(p) is divided by 38. 37 Let l(i) = -4*i - 7. Suppose 8*g + 4 + 20 = 0. Let r be l(g). Calculate the remainder when -2 + (r - 3) + 60 is divided by 16. 12 Let j be -5*(-5)/75*(-1 + 7). Suppose -q = 3*q + 8, j*n - 42 = -q. Suppose 3*w + 5*k = -2, 0 = w + 2*w + 4*k - 2. What is the remainder when n is divided by w? 4 Suppose 5*y - 6*x + 5*x + 443 = 0, 2*x - 446 = 5*y. Let s(b) = b + 48. What is the remainder when s(-11) is divided by 1*3*y/(-33)? 5 Let j(t) = 2*t**3 + 26*t**2 - 16*t - 43. Calculate the remainder when j(13) is divided by 122. 119 Suppose 0 = t - 7*t - 30. Let i(n) = 4*n - 3 + 27 + 9*n - 28*n. Calculate the remainder when i(t) is divided by 17. 14 Let v(o) = 90*o**2 - 218*o + 1086. Calculate the remainder when v(5) is divided by 15. 11 Let z = -193 + 234. Suppose 5*c - 80 = 4*c. Calculate the remainder when c is divided by z. 39 Suppose 4 = u - 4*k - 14, 18 = 3*u - 3*k. Suppose j - 19 = u. Let n = j + -4. What is the remainder when 48 is divided by n? 14 Calculate the remainder when 1539 + (-4 - -3) - 6*45/(-30) is divided by 50. 47 Suppose -15 = 3*l - 3*b, 3*l = -2*b - 17 - 3. Let d(h) = -17*h - 90. Calculate the remainder when ((-6)/8)/((-2)/56) is divided by d(l). 9 Let r be ((-64)/40)/(2/(-5)). Calculate the remainder when ((-12)/r*31)/(-7 - -4) is divided by 18. 13 Let h = 548 - 196. What is the remainder whe
{ "pile_set_name": "DM Mathematics" }
.34 - -23. Let m = 228 + 341. Let s = m - 569.1. What is the nearest to s in -0.1, g, -2/13? -0.1 Suppose 1250 = x + 1244. Suppose -h = -4, 5*r + x*h = h + 20. Which is the closest to -5? (a) r (b) 4 (c) -0.04 c Let w = 266.4 - 42.4. Let n = -219 + w. Let j = 0.2 + -0.3. Which is the nearest to j? (a) 3/7 (b) n (c) -1/6 c Let u = 6007/26 - 231. Let l = u + -7/13. What is the nearest to l in 6, 0.2, 5, -0.4? -0.4 Let d = 121 + -71.1. Let o = -4.9 + d. What is the nearest to 1/5 in 0.3, o, -1? 0.3 Let p = 0.35 - -3.65. Let c be 4/(-48)*-4 - 15/27. Let l = -12 + 10. What is the nearest to l in c, p, 2/7? c Let p = -1 + 0.879. Let r = p - -0.151. Let u = -95.2 + 95. Which is the closest to 1/3? (a) u (b) 0.5 (c) r b Let v(b) = 3*b**3 - 9*b**2 - 10*b - 1. Let r be -5 - (-217)/42 - (-21)/(-18). Let s be v(r). What is the closest to s in 1, -4, 0.5? -4 Let y = 7276 - 7274. Which is the closest to 0.2? (a) -2/5 (b) y (c) -0.3 (d) 3 c Let h = 2030 + -2027. Which is the nearest to -1/3? (a) -3 (b) h (c) 326 a Let o = 17 - 17.3. Let h be (-1424)/(-5874)*(-55)/(-10). Which is the nearest to o? (a) 5 (b) 4/5 (c) h b Let x(m) = 83*m**3 + 3*m**2 - 2. Let d be x(3). Let s = -52109/23 + d. Let h = s + -163/299. Which is the nearest to h? (a) -5 (b) 0.4 (c) -5/4 b Suppose 103*f - 123 = 2*f - 628. Which is the closest to f? (a) -6/7 (b) -1 (c) -2 c Let q = -318 - -908. Let a = q - 590.631. Let t = -0.131 - a. What is the nearest to -3/2 in 5, 1/3, t? 1/3 Let m(z) = z**3 + 51*z**2 + 22*z + 1120. Let q be m(-51). Let o be 1*(-2 + 5/2). What is the nearest to q in -1, -2/7, o? -1 Let t = 131/117 + -92/117. What is the closest to t in -3, -1/3, -0.76, -1? -1/3 Let g be (-16)/28 + (-1600)/140. Let n be (4/(-6) - 0)*(-18)/g. What is the closest to -2 in 16/7, -1/6, n? n Let v = 107393 + -1180489/11. Let q = v - 76. What is the closest to 2 in 0.05, q, -5? 0.05 Let i = 4.915 - -0.085. Let j = -6 + i. Suppose -3*s - 26 = -s. Which is the nearest to j? (a) -2/3 (b) s (c) 1/5 a Let h be 7/((-5)/(-210)*2). Let d = 146 - h. Which is the nearest to d? (a) -4/5 (b) 7 (c) 2 a Let s = 2046 + -2041. Let d(z) = -19*z**2 - 1. Let u be d(1). Let r = u + 20. Which is the closest to 0.14? (a) s (b) 0.3 (c) r c Let j = -0.0506 + 0.05. Let i = j + 33.3006. Let h = i + -33. What is the nearest to 0.2 in 3/4, 3, h? h Let j be (33/(-66))/(1/(-1608)*2). Let b = -407 + j. What is the closest to 3/5 in b, -3, -7? -3 Let o = 6.4 + -6. Let g = 19902 - 19903. Which is the closest to -2? (a) o (b) -4 (c) g (d) -12 c Let b = 0.04 + 0.36. Let r = -8.46 - -9.46. What is the closest to r in b, -9, -3/4? b Suppose -1 - 3 = -4*d. Let g = -111 + 104. Let c = -1 - g. What is the nearest to -2/3 in c, d, -2? -2 Let d = -1967/9 - -1964/9. Which is the closest to -21? (a) d (b) 4 (c) 6 a Let y = -24 + 21. Let o = -2 - -4. Let r = -488207/9 + 54245. Which is the nearest to r? (a) o (b) y (c) -2 c Let o = 41.9 + -46. Let d = 4 + o. Let y = -949/1428 - 1/476. What is the closest to -2 in 3, y, d? y Let v = -4079 + 4078.5. What is the closest to 0.4 in v, -0.16, -5? -0.16 Let p be (3/5 + -1)*2006/236. Let a = 11/5 + p. What is the closest to 1/4 in 4, 0.3, a, 1/2? 0.3 Let m = -285149/4 - -86971113/1220. Let v = 9/61 - m. Which is the nearest to -0.1? (a) 1/3 (b) -5 (c) 0.4 (d) v d Let p = 1.72 + -1.6. Let i = -4.12 + p. Let b be 642/54 + -11 - (-2)/(-2). What is the nearest to -2/5 in b, -2, i? b Let v(q) = -q - 5. Let u be v(-3). Let f be (-294)/35 + u + 10. What is the closest to 0.1 in -1, -2/19, f, 22? -2/19 Let m = 0.265 - -0.045. Let z = 5.81 - m. Let y = z - 10.5. Which is the nearest to 0? (a) 1/4 (b) y (c) 0 c Let w = -1560.4 - -1560.5. What is the closest to 1 in w, 3, -27, 1/5? 1/5 Let r = -571/1141 - -1/2282. Let j(z) = z**3 - 6*z**2 + 5*z - 2. Let s be j(5). Let t = 3 - 0. What is the closest to s in r, t, 2/15? r Let x = -345 - -974. Which is the closest to -1/4? (a) x (b) 0.1 (c) -0.5 c Let w = 86 - -64. Let f be (4 - w/35) + (-104)/28. What is the nearest to 6 in f, 0.2, -0.2? 0.2 Let u(a) = -2*a**2 + 58*a**3 - 15*a - 11*a**2 - 57*a**3 + 15. Let b be u(14). What is the nearest to -4 in 2, 3, b? b Suppose 1335*y - 2676*y + 1337*y - 324 = 0. Which is the closest to -0.2? (a) 0.2 (b) -0.5 (c) y b Suppose -6*m - 57 + 45 = 0. Let s be 3/(-15)*-5*m/8. What is the closest to -1 in s, -2/7, 1? -2/7 Let j = -10117/15 - -2021/3. What is the closest to 2/7 in j, -374, -0.3? -0.3 Let w = -2 - 1. Let u = -12.82 + 7.14. Let s = u + 3.68. Which is the nearest to 7? (a) s (b) 5/2 (c) w b Let m = 103 + -230. Let z = 69 + m. Let p = 55 + z. Which is the closest to 0.1? (a) 1 (b) p (c) -7 a Let w = -673.9 + 668.9. Which is the nearest to 0.1? (a) 7/2 (b) -0.5 (c) w (d) 9 b Let t = 19834 + -19833.991. Which is the closest to 2/5? (a) -2 (b) t (c) 4/5 (d) 0.2 d Let n = 1910 - 1710.2. Let a = n - 200. Let l = 1.99 - -0.01. What is the closest to a in 0, 0.1, l? 0 Let w = 293.91 + -294.11. Which is the nearest to w? (a) 4 (b) -0.5 (c) 3 b Let i = 9736 + -9733. Suppose -3*v = -4 - 2. Let z be 1/v + (-2)/3. Which is the closest to z? (a) 0.1 (b) i (c) 2/5 a Let x = -192604/23 - -8374. Which is the closest to -2? (a) x (b) -0.3 (c) -3 (d) -34 c Let q be (-22)/48 + 2/6. Let z be (-245)/147 + (-2)/(-3). Let p be (156/(-20) + 8)*z. Which is the closest to 2? (a) p (b) -2/7 (c) q c Let m = 118.06 + -118.11. What is the nearest to -2 in m, 0.4, -38? m Let p = -9 - -8. Let y be 4/((-51)/(-34)*(-8)/(-6)). Let w be y - (-3)/(15/(-20)). Which is the closest to -2? (a) w (b) p (c) 4 a Let l(j) = -j**2 + 24*j - 48. Let y be l(21). Let s be (2/(-20))/(96/y - 6). Which is the nearest to -1? (a) 0.1 (b) 22 (c) s c Let o be (-100)/(-150) - (-100)/(-6). Let f be o/12*(-2 + 356/184). Which is the closest to -0.03? (a) f (b) 4 (c) -0.3 (d) -0.4 a Let i = -66 + 42. Let r be (4/27)/((-16)/i). Let m = 1372 + -1376. Which is the nearest to 4? (a) r (b) m (c) 0.1 a Let h = 0.4 + -0.4. Suppose 4*y - 2*j - 38 = 0, 4*y + 0*j - 32 = -4*j. Let w = -55.9 + 55.7. Which is the nearest to w? (a) -1/10 (b) y (c) h a Let g = 334 + -336. Let k be (2 - (-4 - g)/2) + -4. What is the closest to 0 in 0.2, 23, k? 0.2 Let h = -0.80567 - -0.00567. Let q be (4 + -3)/(2/(-10)). Which is the nearest to 1? (a) q (b) -2 (c) h c Suppose -5*w - 429 = -70*t + 68*t, 0 = 4*w - 20. Let q = t + -679/3. Which is the nearest to q? (a) 0.3 (b) 2 (c) -3/8 (d) -2 a Let s = 232.1 + -232.2. What is the nearest to -18 in -0.5, -4, 5, s? -4 Let s = -0.305 + 0.205. Let z = -10 + 11. Let y be (9/15)/(1/5). What is the nearest to 1 in z, y, s? z Let f = -0.4 - 0.1. Let v = f - -0.3. Let i = -1242 - -1241. What is the closest to 2 in -1/2, v, i? v Let m = 2699.3 + -2696.3. What is the nearest to -3/4 in -1, m, -34? -1 Let u = -55 - -38.6. Let m = 16.1 + u. Let o = 2 - 1.5. Which is the nearest to m? (a) 0.3 (b) o (c) -2/13 c Let s = 1.0731 - 1.5731. Which is the nearest to 0? (a) -2/17 (b) s (c) -7 a Let w = -0.3 + -0.7. Let r = 30625.5 - 30624. What is the nearest to w in -1, r, -0.3? -1 Suppose -2*j - 4 - 6 = 0, 5*t + 5 = -j. Let r = 154339 - 154338.9. What is the closest to t in -1, r, -54? r Let s(c) = -313*c - 3139. Let f be s(-10). What is the closest to -1 in -2, 0.33, f? -2 Suppose 5*b = -2*a + 28, -5*b = -5*a + 3*a + 8. Suppose -3*m - a = 0, 3*u + 0*m + 3 = -4*m. What is the closest to 2/5 in -2/9, u, 0? 0 Let j(t) = -t**3 + 7*t**2 - 22*t + 6. Let y be j(7). Which is the closest to -1/4? (a) y (b) 1/4 (c) -3 b Let w(o) = -7*o**2 - 60*o - 74. Let u be w(-7). Which is the closest to 2? (a) 2 (b) 10 (c) u (d) -2/17 a Let g = 37.3 - 243.3. Let d = g - -207. Let t = 0.1 + 0. What is the nearest to d in 0.2, t, 6? 0.2 Let g = 2072.3 - 2072. Let l = -31 - -27. What is the nearest to -0.2 in g, 1/9, l? 1/9 Let g = 165.14 + 2.86. Let p = -168.5 + g. Let h = -0.2 + 0.1. Which is the nearest to -1? (a) 3/5 (b) h (c) p c Let s = 15 - 10. Let z = 7076 + -7089. What is the closest to -3 in s, -3, 0.1, z? -3 Let c = -1360/7 - -35381/182. Let v = 38/15 - 439/195. Let p = c - v. What is the closest to 0 in 4/7, p, 2/11? p Let g(s) = s**2 + 43*s - 40. Let l be g(-44).
{ "pile_set_name": "DM Mathematics" }
f(c) wrt c? -660*c**3 Suppose -j = 3*z - 3, 2*j + 4 = -4*z + 3*z. What is the third derivative of 4*q**2 - 7*q**3 - 21*q**3 - 2 + z wrt q? -168 Let o be 2/7 - 612/(-63). What is the second derivative of 11*n - 7*n**2 - n**2 + o*n**5 + 8*n**2 wrt n? 200*n**3 Let m be (-4 - 56/(-20))/(2/(-15)). Find the third derivative of m*t**6 - 3*t**2 + 3*t**6 + 14*t**2 wrt t. 1440*t**3 Let s(j) = j**2 - 8*j + 4. Let n be s(3). Let l = -11 - n. Find the third derivative of l*a**5 - 26*a**2 - 3*a**5 + 22*a**2 wrt a. -180*a**2 Let b = 6 - 2. Suppose -3*c = 6, -2*f - 3*c = -0*c - b. Find the third derivative of -2*a**3 + 2*a**2 + 5*a**2 + f*a**3 - 2*a**2 wrt a. 18 Let i(z) = z**2 + 32*z + 211. Let v be i(-9). Let p(r) be the second derivative of -7/2*r**2 - 11/6*r**3 + v*r + 0. Differentiate p(n) wrt n. -11 Let v be (6 + 0)*(39/(-6) + 7). What is the second derivative of -6*a**v + 26*a**3 + 10*a + 6*a**3 wrt a? 156*a Let z be (2/(-6))/((-5)/(-45)). Let o be z/2*(-8)/6. Find the second derivative of k**3 + 11*k**o - 11*k**2 - 2*k wrt k. 6*k Let y(s) be the third derivative of 101*s**4/4 + 65*s**3 - 433*s**2 - s. Find the first derivative of y(z) wrt z. 606 Let g(w) be the second derivative of -w**3/3 - 7*w**2 - 13*w. Let i be g(-8). What is the derivative of 3*a**2 - 9*a**2 - 2 - 8*a**i + 3 wrt a? -28*a Suppose 3*s - 12 = 0, 5*s = 3*c - 2*c - 18. What is the second derivative of -c*t - 3*t**3 + 72*t - 29*t wrt t? -18*t What is the third derivative of 288*q**2 + 18*q**4 + q**5 - 5*q**4 - 6*q**4 - 6*q**4 wrt q? 60*q**2 + 24*q Let v(s) be the third derivative of 97*s**7/105 - 301*s**4/24 - 28*s**2. Find the second derivative of v(u) wrt u. 2328*u**2 Suppose -3*d + 11 = -l, 2*l = 5*d - 25 + 5. What is the derivative of -11 - 7*v**2 + 6*v**d + v**2 - 11*v**3 wrt v? -33*v**2 Let f be (-111)/(-12)*(-592)/(1*-4). Find the third derivative of 1369 - 3*p**2 + 4*p**3 - f wrt p. 24 Let x(c) = 360*c**2 + 365*c + 8. Let u(z) = 120*z**2 + 122*z + 3. Let v(q) = -8*u(q) + 3*x(q). Find the second derivative of v(m) wrt m. 240 Let d(r) be the first derivative of 17*r**5/5 + r**4/4 + 4*r**3/3 - 10*r - 24. Find the third derivative of d(j) wrt j. 408*j + 6 Let c be (-12)/28*4*-7. Find the third derivative of 4*l**2 + c*l - 12*l + 9*l**2 - 13*l**5 wrt l. -780*l**2 Differentiate 160 - 28*n**4 + 85*n - 85*n with respect to n. -112*n**3 Let q(z) be the second derivative of -2*z**6/5 + z**4/4 + 67*z**2/2 + 5*z - 23. What is the first derivative of q(y) wrt y? -48*y**3 + 6*y Let w(c) be the second derivative of -21*c**8/8 - 9*c**4/2 + 108*c. Find the third derivative of w(o) wrt o. -17640*o**3 Let v(o) = -872*o**3 - 10*o**2 - 5*o + 404. Let x(z) = -1308*z**3 - 16*z**2 - 8*z + 606. Let b(a) = -8*v(a) + 5*x(a). What is the derivative of b(h) wrt h? 1308*h**2 Suppose -19 = 4*d - 3, -5*z - 3*d = 92. Let w = z + 22. Find the second derivative of 4*g - 2*g**4 + 2*g + 2*g**4 - w*g**5 wrt g. -120*g**3 Let t be 4/(0 + 7/(5677/2)). Differentiate t + 2*w - 1629 + 4*w wrt w. 6 Let n(t) = 225*t**6 + 3*t**4 - 2*t**2 + 9*t. Let v(g) = -226*g**6 - 4*g**4 + 3*g**2 - 10*g. Let y(a) = 4*n(a) + 3*v(a). Find the third derivative of y(j) wrt j. 26640*j**3 What is the second derivative of 153 + 3*h**2 - 47*h**5 - 61 - 2*h + 65 - 3*h**2 wrt h? -940*h**3 Let k(l) be the second derivative of 3*l**5/20 + 69*l**2/2 - 64*l - 1. What is the derivative of k(s) wrt s? 9*s**2 Let t(g) be the second derivative of g**7/15 - 7*g**3/3 - 15*g**2/2 + 11*g. Let z(i) be the first derivative of t(i). Find the first derivative of z(u) wrt u. 56*u**3 Let n(y) = y**2 - 2*y + 3. Let o be n(0). Differentiate -1 - 4*g**3 - 10*g**3 + o + g**3 wrt g. -39*g**2 Let k(j) = 855*j**6 - 6*j**5 + 2*j**2 + 69. Let p(h) = -2*h**6 + h**5. Let d(z) = k(z) + 6*p(z). What is the third derivative of d(g) wrt g? 101160*g**3 Suppose 2*q = -2*q + 48. Let t be (10/4)/(q/24). Find the third derivative of t*m**2 - m**3 + m**3 - 6*m**3 wrt m. -36 Suppose 4*k - 146 = h, -5*k - 2*h + 182 = -3*h. Let t be 1/((-3)/k*-3). What is the third derivative of -3*u**2 + t*u**5 + 0*u**5 - 2*u**5 + 0*u**5 wrt u? 120*u**2 Let m(f) be the first derivative of 0*f**5 - 18 + 5/3*f**6 + 0*f**3 + 0*f**4 + 19/2*f**2 + 0*f. Find the second derivative of m(d) wrt d. 200*d**3 Let p(k) = -4*k**3 - 4*k**2 - k + 9. Let b(n) = 7*n**3 + 9*n**2 + 2*n - 18. Let t(f) = -6*b(f) - 13*p(f). Find the second derivative of t(g) wrt g. 60*g - 4 Let i(a) = 358*a**2 - 69*a - 2. Let m(p) = 179*p**2 - 35*p - 1. Let r(y) = 6*i(y) - 11*m(y). What is the second derivative of r(l) wrt l? 358 Suppose 0 + 11 = d. What is the second derivative of -7*b**3 - d*b + 2*b**2 + b**2 - 3*b**2 wrt b? -42*b Let b(k) be the third derivative of -1/10*k**5 + 0*k**3 - 3/2*k**4 + 0*k - 20*k**2 + 0. Find the second derivative of b(o) wrt o. -12 Let i(s) be the second derivative of 0*s**3 + 0 - 1/6*s**4 - 1/2*s**5 + 4*s + 0*s**2. What is the third derivative of i(g) wrt g? -60 Let s(k) be the second derivative of -9/2*k**2 - 1/15*k**6 + 0 - 9*k + 0*k**3 + 0*k**4 + 0*k**5. Find the first derivative of s(t) wrt t. -8*t**3 Let v(s) = 30*s + 2. Let b be v(-1). Let k be ((-2)/4)/(1/b). Find the second derivative of 7*g**4 + 6*g + 26*g**2 - 26*g**2 - k*g wrt g. 84*g**2 Let b(x) = x**2 - 7*x + 6. Let j be b(6). Suppose -3*s - c + 2*c + 17 = j, -2*s + 13 = -c. What is the derivative of -1 + 3*o**4 - s*o**4 - 3*o**4 + 6 wrt o? -16*o**3 Let w(g) be the first derivative of 268*g**5/5 - 29*g**3/3 + 250. What is the third derivative of w(x) wrt x? 6432*x Let m(o) = -o**2 - 9*o + 3. Let b be m(-9). Suppose 4*i = b*g - 4 - 18, -2 = -3*g - i. Find the first derivative of q**g - q**2 - 9 + 1 + 9*q**3 wrt q. 27*q**2 Let x(t) be the first derivative of t**8/56 + 19*t**4/24 - 3*t**2/2 + 22. Let y(z) be the second derivative of x(z). Find the second derivative of y(l) wrt l. 120*l**3 Let x = -60 + 84. Find the second derivative of -x*i**2 - 33*i + 7*i**2 + 2 - 2 wrt i. -34 Let f(i) be the first derivative of 533*i**4/4 - 59*i**3 + 567. What is the third derivative of f(b) wrt b? 3198 Let o(z) = 27*z**2 + 32*z - 2. Suppose 61 - 16 = 5*i. Let b(x) = -108*x**2 - 128*x + 9. Let k(s) = i*o(s) + 2*b(s). What is the second derivative of k(n) wrt n? 54 Suppose 3*c + 0 - 6 = 0. What is the third derivative of 7*a**2 - 9*a**6 + c*a**4 - 2*a**2 - 4 - a**2 wrt a? -1080*a**3 + 48*a Let n = -114 + 114. Let v(h) be the second derivative of 0*h**3 - h - 1/2*h**2 + n - 1/4*h**4. Differentiate v(f) wrt f. -6*f Let p(d) = -d**4. Let v(n) = -2*n - 5. Let z be v(0). Let r(o) = 28 - 28 + 3*o**2. Let s(c) = z*p(c) + r(c). What is the third derivative of s(f) wrt f? 120*f Let s(z) be the first derivative of -4*z**7/105 - 11*z**3/2 - z**2 - 23. Let m(p) be the second derivative of s(p). What is the first derivative of m(y) wrt y? -32*y**3 Let j(s) = s**3 - 6*s**2 + 11*s + 3. Let q be j(5). Differentiate -q - 28*i - 9*i - 12*i + 8*i with respect to i. -41 Let t(m) be the second derivative of m**6/2 + m**5/5 + 79*m**4/12 + 104*m. What is the third derivative of t(v) wrt v? 360*v + 24 Let z(f) be the second derivative of -f**4/4 + 7*f**3 + 75*f**2/2 + 85*f. Find the first derivative of z(y) wrt y. -6*y + 42 Find the third derivative of -w**2 + w**5 - 59*w - 11*w**4 + 20*w**4 - 3*w**3 - 9*w**4 wrt w. 60*w**2 - 18 Let l = -2579 - -2582. Let c(t) be the first derivative of -8 + 0*t**2 + 10*t + 7/3*t**l. What is the first derivative of c(b) wrt b? 14*b Let y(r) be the second derivative of 61*r**5/20 - 166*r**3/3 + 2*r - 88. Find the second derivative of y(q) wrt q. 366*q Let n(q) = -1141*q + 987. Let m(o) = -95*o + 82. Let h(l) = 49*m(l) - 4*n(l). Differentiate h(a) with respect to a. -91 Let x(r) = 6*r**3 - 4*r**2 - 594*r + 710. Let o(z) = -19*z**3 + 13*z**2 + 1783*z - 2129. Let c(b) = -4*o(b) - 13*x(b). Differentiate c(t) wrt t. -6*t**2 + 590 Let v(z) = 6*z - 125. Let r be v(21). Let i(x) be the first derivative of -r + 4/3*x**3 - x**2 + 0*x. Find the second derivative of i(o) wrt o. 8 Let k be 22/4*(-12)/2. Let f be 210/55 + (-6)/k. Find the second derivative of 2*u**4 - 6*u**4 + 6*u - 2*u**f wrt u. -72*u**2 Let b be (-10)/((-1)/((-4)/(-8))). Let w be 51/15 + (-2)/b. Find the first derivative of w + 12*a - 5*a - 6*a wrt a. 1 Differentiate -479 - 18*d + 57*d - 188*d wit
{ "pile_set_name": "DM Mathematics" }
orm d*q + h + y*q**4 + c*q**3 + u*q**2 and give h. 0 Express (9*o**3 - 20*o**3 - 9*o**3)*(2 + 0 + 5) as p + w*o**2 + h*o + i*o**3 and give i. -140 Rearrange 21 - 2*b - 6*b**3 - 23 + 7*b**3 to the form y*b**2 + d + o*b**3 + f*b and give f. -2 Rearrange (-4*m**2 - m**2 + m**2)*(-1 - 5 - 4*m + 4) to g*m + f*m**2 + q + s*m**3 and give f. 8 Rearrange ((1 + 0 + 1)*(5 - 4 + 0) - 2 + 5 - 5 - 7 + 0 - 3)*(2*u**3 - 3 + 3) to the form d*u**2 + h*u + s*u**3 + c and give s. -20 Rearrange -4*g**3 + 0*g + g - 2*g to the form w*g + z*g**3 + a*g**2 + v and give v. 0 Express -b**3 + 4*b**3 + 10 - 4*b**3 + 4 as c + t*b + i*b**3 + d*b**2 and give i. -1 Express (4 + 0 + 1)*(d - 6*d + 2*d)*(d**2 - 3*d + 3*d) + 0*d**2 - 2*d**3 + 0*d**2 as u*d**3 + o + y*d**2 + h*d and give u. -17 Express (6*s**2 - 2*s**2 - 3*s**2)*(3 - 3 + 3*s) + 4*s**3 + 10*s**2 - 10*s**2 in the form u*s**2 + f*s**3 + h + g*s and give f. 7 Rearrange 25*a**3 + 3*a**2 - 26*a**3 - 6*a - 3*a**2 to q*a + w*a**2 + b*a**3 + p and give b. -1 Express 7 - 9*f**2 + 3*f**2 + 8*f**2 + 4*f + 0*f**2 in the form c*f**2 + q + y*f and give q. 7 Express -2 + 2268*w + 2*w**2 - 3 + 4 - 2253*w as c + v*w**2 + l*w and give c. -1 Rearrange (p + 2*p - 2*p)*(3 - p - 3) + 3*p**2 + 5*p**2 - 6*p**2 + (4*p + 21*p - 13*p)*(-p + 5*p - 2*p) to z*p + n + m*p**2 and give m. 25 Rearrange (2*v + 3*v - 3*v)*(2 + 1 - 5) + 74 - 243*v + 21 + 245*v to the form y + c*v and give c. -2 Rearrange 5*q**4 - 23*q**3 - 1 - 3*q**4 - 3*q**4 + 0*q**4 to d*q**2 + j*q + s + m*q**3 + g*q**4 and give g. -1 Express (2*f**2 - 7*f**2 + 2*f**2)*(-11*f**2 - 16*f**2 - 40*f**2) in the form p*f + s*f**4 + m*f**3 + a + x*f**2 and give s. 201 Express (0 + 0 + 2*q)*(-86 - 28 - 60 + 31) in the form w + d*q and give d. -286 Express -9*x - 6*x - 5*x as m + w*x and give w. -20 Rearrange (-22*c + 22*c - 10*c**4)*(1 - 3 + 4) to the form w*c**4 + a*c + r*c**2 + x + y*c**3 and give w. -20 Express 12 + 44*u - 12 as r + j*u and give j. 44 Express (4736 + 122*z - 4736)*(-5 + 4 - 1)*(-2*z + 3*z + 0*z) as t*z + s*z**2 + p and give s. -244 Rearrange (2 - 6*c**3 + 1854*c**2 - 1854*c**2 + c)*(-3 - 1 + 2) to the form u*c**3 + n*c**2 + b*c + r and give r. -4 Rearrange 2 - 2158*p**3 + 2164*p**3 + 3*p - p**2 + p**2 to r*p**2 + h*p + l*p**3 + c and give c. 2 Rearrange 11*o - 7*o + 5*o**3 - o to the form g + d*o**2 + a*o**3 + p*o and give a. 5 Rearrange (11 - 11 + 2*i)*(18*i**2 + 20*i**2 - 27*i**2 + 2) + 0*i**3 + 2*i**3 + 0*i**3 to s*i**2 + b*i**3 + c + d*i and give d. 4 Rearrange (3*a**2 + 3*a**2 - 5*a**2)*(-a - 1 - 2*a + 0) to the form o*a + v*a**3 + s*a**2 + j and give s. -1 Express 2 - 3*w**2 + 4*w**2 - w**4 - 5 + 3*w - w**3 + 6 in the form s*w + i*w**4 + u*w**2 + y + o*w**3 and give i. -1 Express -8*z**2 + 2 + 5337*z**3 + 2*z**4 - 5337*z**3 in the form m + p*z**2 + v*z + j*z**4 + w*z**3 and give p. -8 Express 16 + 3*x**2 - 5 - 7 - 2*x**2 as f*x**2 + h*x + y and give f. 1 Express -2 - k**3 + 2 + (4*k**2 - 4*k**2 - 2*k**2)*(-95 + 95 - 5*k)*(-4 - 5 + 3) as d*k**3 + i*k + z*k**2 + w and give d. -61 Express (-y + 3*y - 5*y)*(25*y**2 + 25*y**2 + 27*y**2) in the form w*y + q*y**2 + d*y**3 + i and give d. -231 Express 2*o**3 + 9*o**3 - 2 - 12*o**3 - 25*o**4 in the form n + g*o**2 + y*o**4 + b*o + u*o**3 and give u. -1 Express (-3*g + 2*g + 3*g)*(6*g - 3 + 3)*(0*g**2 + g**2 + g**2) in the form y*g**4 + q*g**3 + u + c*g**2 + m*g and give y. 24 Rearrange -s**2 + 6*s + 11*s**2 + 4*s**2 - 8*s to d + h*s + c*s**2 and give h. -2 Rearrange -4 + 7 - 29*q - 3 to a + d*q and give d. -29 Express -7*q**2 - q**2 + 8*q**2 + 14*q**2 as g*q + x*q**2 + k and give k. 0 Express -7 - 4*f - 4*f**2 + 3*f**2 - f**2 as h + v*f + y*f**2 and give y. -2 Rearrange -6*p + 29*p + 31*p + 22*p to the form n + g*p and give g. 76 Rearrange (-10 + 7*j + 4 + 4)*(-4*j + 3*j + 8*j)*(3*j - 3*j + 2*j) to c*j**2 + b*j + y*j**3 + k and give y. 98 Rearrange -10*o - 2*o**2 + 33*o + 10*o + 1 + 7*o to the form l + h*o + b*o**2 and give l. 1 Express (3*v**3 + v**2 - v**2)*(-3 + 2 + 2 + 2*v) as s*v**2 + y*v**4 + m*v**3 + l*v + w and give y. 6 Rearrange 7 - v - 7 to the form n*v + t and give n. -1 Express 88 - 11*q - 84 + 33*q + q + q - 4*q + (1 + 0 + 0)*(0*q + 2*q - 4*q) + 0*q + 2*q + 0*q - 2*q + q + 2*q in the form a + d*q and give a. 4 Express (1 - 4 + 1)*(-21*i**4 + 33*i - 33*i) as w + d*i + j*i**2 + y*i**4 + f*i**3 and give y. 42 Rearrange 167*l - 167*l + 19*l**2 + (l + 3*l - 3*l)*(2 - l - 2) to the form i*l + z + v*l**2 and give v. 18 Express (h - 3*h + 4*h)*(-19*h**3 - 15*h**3 - 5*h**3) as w + l*h**2 + o*h**3 + t*h + g*h**4 and give g. -78 Express (-24 + 18 - 39)*(5 - 4 + 2)*(0*z - 5*z + 7*z) in the form y*z + t and give y. -270 Rearrange -48*q + 60*q + 58*q to the form m*q + j and give m. 70 Express 1 + 4 - 2 - u - 8*u in the form v + z*u and give z. -9 Express (-l - 2*l + 5*l)*(1 + l**2 - 1) + (-4*l**2 + 4*l - 4*l)*(-2 + 3*l - l - l) as j*l**2 + f + d*l**3 + b*l and give b. 0 Rearrange 2*v**2 + 0*v**3 - 3*v + 0*v**2 + 5*v**3 to the form l*v + c*v**3 + h + k*v**2 and give l. -3 Express (25*z**2 - 19*z**2 - 18*z**2)*(-2*z**2 - 5*z + 5*z) in the form f*z**2 + c + l*z**3 + a*z + k*z**4 and give k. 24 Rearrange 6*g**2 - 8*g**2 - 13*g**2 to the form a*g**2 + m*g + k and give a. -15 Rearrange -2*x**2 + x + 11 - 2 - 4*x**4 - 10 - x**3 + 3*x**3 to the form m + w*x**2 + i*x**3 + u*x**4 + g*x and give i. 2 Express -2*u + 339*u**2 - 305*u**2 + 2*u as m + r*u**2 + c*u and give r. 34 Rearrange 12*d + 12*d + 0*d**2 + 2*d**2 + 2*d to the form f*d + p*d**2 + g and give f. 26 Express 13*b**3 + 3*b**4 + 3 - 2*b**2 - 6*b**3 - 8*b**3 as o*b**2 + c + q*b**4 + z*b + u*b**3 and give q. 3 Express (-2*w**2 - w + w)*(-3*w**2 - 11*w**2 - 18*w**2) in the form k*w**2 + f*w**4 + o*w + g + j*w**3 and give g. 0 Express 7*p - 7*p - 8*p**2 + (-10*p + 2*p + p)*(2*p - 3*p + 2*p) + (2 + 2*p**2 - 2)*(-6 + 1 + 3) as n*p + x*p**2 + k and give x. -19 Rearrange -9*y - 8*y - 5*y to the form z + g*y and give g. -22 Rearrange (-u + 3*u + 7*u)*(3 - 5 + 4)*(3*u + 3*u - 5*u) to the form t + r*u**2 + k*u and give r. 18 Express (-b - 3*b + 0*b)*(0 - 1 - 1)*(-2 - 7 - 2) as a + m*b and give m. -88 Rearrange (0*c**3 + 0*c**3 - 2*c**3)*(-c + 2*c - 2*c) + (-2*c**3 - c**3 + c**3)*(5*c - 3*c + 2*c) to p*c + a*c**3 + x*c**2 + v + l*c**4 and give v. 0 Rearrange (-1 + 2*h + 1)*(64*h + 1 + 45*h - 46*h) to the form b + m*h**2 + v*h and give m. 126 Rearrange -4*m**3 - 2 - 6*m**2 + 4*m**2 - 7*m**2 + 6*m**3 to the form z*m**2 + w*m + g + d*m**3 and give g. -2 Express (-2 + 2 - 1)*(-1 + 1 - 2*y**2) + y + y**2 - y + y**2 + 0*y**2 - 5*y**2 in the form b*y + s*y**2 + o and give s. -1 Rearrange -u - 11*u**3 - u**2 + u**4 + 7*u**3 + 6*u**3 to g*u**3 + c*u**2 + x + q*u**4 + p*u and give c. -1 Express -s**3 + 2*s - 2*s + (-2 + 0 + 1)*(0*s**3 + s**3 + 2*s**3) + 6*s**3 - 2*s**3 - 3*s**3 + 0 - 3 + s**3 + 5 as y*s**2 + p*s + a + j*s**3 and give p. 0 Rearrange 29*k**3 - 1 + k - 63*k**3 + k**2 + 35*k**3 + 0 to the form x*k**3 + c + u*k + h*k**2 and give u. 1 Rearrange 4*x**2 - 3 + 3*x**2 + x**4 - 8*x**2 to the form i + q*x**3 + g*x + r*x**2 + b*x**4 and give i. -3 Rearrange -5 + 16 - 8*t + 3*t + 3*t to the form y + p*t and give y. 11 Rearrange ((2 + 0 + 0)*(2 + 1 - 1) - 13 + 4 + 3 + 0 + 0 + 2 + 1 - 1 + 5)*(-2*a + 0 + 0 + (2*a - 2*a + a)*(-2 + 1 + 0)) to the form x*a + w and give x. -15 Express 2*h**3 - 15*h**3 + 0*h**3 + (-2 - 4*h + 2)*(5 + 0 + 4*h**2 - 2*h**2 - h) in the form z*h + v*h**2 + q*h**3 + f and give v. 4 Express -7*k + 5*k + 6*k as i*k + c and give i. 4 Express (-3*k + 2*k**2 + 3*k)*(k - 5*k + k) - 4*k**3 + 0 + 0 + (0*k**2 + 0*k**2 - 3*k**2)*(1 - 1 - 2*k) in the form f*k + v + m*k**3 + p*k**2 and give p. 0 Rearrange (26 - 7 - k - 2)*(-1 - 2*k + 1 + (-1 + 2 + 1)*(-k + 3 - 3)) to the form b*k**2 + x + r*k and give r. -68 Rearrange 33*y - 880 + 880 to n + v*y and give v. 33 Express 7*o**2 - 3*o**2 - o**2 - 2*o**2 + 9*o as b*o + h*o**2 + v and give v. 0 Rearrange l**2 - 3*l**2 - 8*l**3 + 2 + 9*l**3 to the form d*l**3 + t*l + o*l**2 + g and give g. 2 Rearrange 1 - 3*m + m**2 + 2*m**4 + 4*m + 1 + m to t*m**2 + s*m + v + b*m**3 + q*m**4 and give q. 2 Express 4*t**4 + 2 - 3*t**3 - 110*t + 2*t**2 + 7*t**3 + 112*t as r*t**2 + f*t + b + x*t**4 + i*t**3 and give i. 4 Rearrange (w - 3*w + w)*(w + w + 0*w)
{ "pile_set_name": "DM Mathematics" }
en 1608 is divided by 172. 60 What is the remainder when 1467 is divided by 42? 39 Calculate the remainder when 2506 is divided by 13. 10 Calculate the remainder when 1175 is divided by 28. 27 What is the remainder when 485 is divided by 164? 157 Calculate the remainder when 636 is divided by 19. 9 Calculate the remainder when 79 is divided by 45. 34 Calculate the remainder when 563 is divided by 29. 12 Calculate the remainder when 2163 is divided by 181. 172 Calculate the remainder when 1299 is divided by 430. 9 What is the remainder when 823 is divided by 103? 102 Calculate the remainder when 659 is divided by 39. 35 What is the remainder when 961 is divided by 100? 61 What is the remainder when 832 is divided by 310? 212 What is the remainder when 66 is divided by 26? 14 Calculate the remainder when 89 is divided by 75. 14 What is the remainder when 49 is divided by 19? 11 Calculate the remainder when 373 is divided by 23. 5 Calculate the remainder when 92 is divided by 54. 38 What is the remainder when 339 is divided by 57? 54 What is the remainder when 177 is divided by 20? 17 What is the remainder when 1255 is divided by 133? 58 What is the remainder when 215 is divided by 13? 7 Calculate the remainder when 69 is divided by 38. 31 Calculate the remainder when 9429 is divided by 5. 4 What is the remainder when 522 is divided by 21? 18 Calculate the remainder when 42 is divided by 20. 2 What is the remainder when 271 is divided by 16? 15 Calculate the remainder when 510 is divided by 40. 30 What is the remainder when 1067 is divided by 44? 11 Calculate the remainder when 361 is divided by 191. 170 Calculate the remainder when 48 is divided by 18. 12 Calculate the remainder when 10469 is divided by 28. 25 Calculate the remainder when 803 is divided by 26. 23 What is the remainder when 277 is divided by 273? 4 Calculate the remainder when 15076 is divided by 26. 22 What is the remainder when 152 is divided by 14? 12 Calculate the remainder when 10638 is divided by 7. 5 Calculate the remainder when 412 is divided by 395. 17 Calculate the remainder when 623 is divided by 225. 173 Calculate the remainder when 2186 is divided by 11. 8 What is the remainder when 17853 is divided by 62? 59 What is the remainder when 5563 is divided by 11? 8 What is the remainder when 508 is divided by 103? 96 What is the remainder when 89 is divided by 72? 17 Calculate the remainder when 658 is divided by 31. 7 What is the remainder when 3717 is divided by 20? 17 What is the remainder when 302 is divided by 11? 5 Calculate the remainder when 615 is divided by 305. 5 Calculate the remainder when 1282 is divided by 213. 4 What is the remainder when 423 is divided by 212? 211 What is the remainder when 141 is divided by 29? 25 Calculate the remainder when 1036 is divided by 133. 105 Calculate the remainder when 646 is divided by 108. 106 Calculate the remainder when 86 is divided by 46. 40 Calculate the remainder when 74 is divided by 19. 17 Calculate the remainder when 16317 is divided by 20. 17 What is the remainder when 1945 is divided by 25? 20 What is the remainder when 584 is divided by 88? 56 What is the remainder when 215 is divided by 54? 53 What is the remainder when 3743 is divided by 75? 68 Calculate the remainder when 4340 is divided by 13. 11 What is the remainder when 1631 is divided by 416? 383 What is the remainder when 68 is divided by 14? 12 What is the remainder when 145 is divided by 32? 17 Calculate the remainder when 157 is divided by 30. 7 Calculate the remainder when 295 is divided by 159. 136 Calculate the remainder when 137 is divided by 12. 5 Calculate the remainder when 189 is divided by 19. 18 What is the remainder when 952 is divided by 54? 34 What is the remainder when 686 is divided by 357? 329 What is the remainder when 98 is divided by 14? 0 Calculate the remainder when 95 is divided by 23. 3 What is the remainder when 1484 is divided by 16? 12 What is the remainder when 1377 is divided by 198? 189 Calculate the remainder when 4770 is divided by 62. 58 What is the remainder when 857 is divided by 3? 2 Calculate the remainder when 17576 is divided by 15. 11 Calculate the remainder when 77 is divided by 23. 8 Calculate the remainder when 267 is divided by 8. 3 What is the remainder when 907 is divided by 26? 23 Calculate the remainder when 677 is divided by 77. 61 What is the remainder when 1438 is divided by 358? 6 Calculate the remainder when 2696 is divided by 25. 21 Calculate the remainder when 148 is divided by 27. 13 What is the remainder when 190 is divided by 5? 0 Calculate the remainder when 312 is divided by 9. 6 What is the remainder when 219 is divided by 36? 3 What is the remainder when 293 is divided by 75? 68 Calculate the remainder when 127 is divided by 16. 15 Calculate the remainder when 10682 is divided by 3555. 17 What is the remainder when 104 is divided by 57? 47 What is the remainder when 459 is divided by 79? 64 Calculate the remainder when 77 is divided by 28. 21 What is the remainder when 5 is divided by 2? 1 Calculate the remainder when 22 is divided by 21. 1 What is the remainder when 1769 is divided by 9? 5 Calculate the remainder when 785 is divided by 88. 81 What is the remainder when 767 is divided by 10? 7 What is the remainder when 249 is divided by 39? 15 Calculate the remainder when 147 is divided by 131. 16 What is the remainder when 534 is divided by 253? 28 Calculate the remainder when 1226 is divided by 141. 98 Calculate the remainder when 72 is divided by 46. 26 What is the remainder when 2672 is divided by 111? 8 Calculate the remainder when 212 is divided by 34. 8 What is the remainder when 406 is divided by 241? 165 What is the remainder when 505 is divided by 99? 10 What is the remainder when 3973 is divided by 14? 11 What is the remainder when 632 is divided by 12? 8 What is the remainder when 247 is divided by 225? 22 Calculate the remainder when 43 is divided by 32. 11 What is the remainder when 339 is divided by 23? 17 What is the remainder when 2344 is divided by 465? 19 What is the remainder when 2508 is divided by 148? 140 Calculate the remainder when 16 is divided by 3. 1 What is the remainder when 2502 is divided by 15? 12 What is the remainder when 147 is divided by 37? 36 What is the remainder when 1738 is divided by 30? 28 What is the remainder when 3081 is divided by 140? 1 What is the remainder when 299 is divided by 24? 11 What is the remainder when 804 is divided by 23? 22 Calculate the remainder when 2193 is divided by 437. 8 Calculate the remainder when 121 is divided by 43. 35 Calculate the remainder when 276 is divided by 9. 6 Calculate the remainder when 1101 is divided by 6. 3 What is the remainder when 2331 is divided by 394? 361 What is the remainder when 98 is divided by 74? 24 What is the remainder when 1403 is divided by 27? 26 What is the remainder when 491 is divided by 483? 8 What is the remainder when 1343 is divided by 421? 80 Calculate the remainder when 338 is divided by 82. 10 What is the remainder when 38 is divided by 13? 12 What is the remainder when 1245 is divided by 14? 13 What is the remainder when 782 is divided by 14? 12 Calculate the remainder when 42302 is divided by 4. 2 Calculate the remainder when 357 is divided by 169. 19 Calculate the remainder when 93 is divided by 33. 27 Calculate the remainder when 893 is divided by 41. 32 What is the remainder when 79 is divided by 36? 7 Calculate the remainder when 122 is divided by 35. 17 Calculate the remainder when 208 is divided by 35. 33 What is the remainder when 269 is divided by 21? 17 Calculate the remainder when 10 is divided by 5. 0 What is the remainder when 5937 is divided by 11? 8 What is the remainder when 1097 is divided by 69? 62 What is the remainder when 4674 is divided by 14? 12 What is the remainder when 66 is divided by 18? 12 Calculate the remainder when 118 is divided by 19. 4 What is the remainder when 111 is divided by 32? 15 What is the remainder when 40 is divided by 6? 4 Calculate the remainder when 1302 is divided by 221. 197 What is the remainder when 247 is divided by 36? 31 Calculate the remainder when 217 is divided by 10. 7 What is the remainder when 749 is divid
{ "pile_set_name": "DM Mathematics" }
*f. Suppose x - 1569 = -a, a + 4*x - y - 1216 = 0. Suppose 5*n + 3*p = a, -7*n = -2*n - 4*p - 1566. Is n composite? True Suppose -64 = f - 66. Suppose -595 = -5*u + 5*t, 3*u - f*t - 353 = 2*t. Is u composite? True Let p = -5318 + 18247. Is p a composite number? True Let f(y) = -y**2 - 14*y + 21. Let k be f(9). Is 18/3 - k - 1 composite? False Let o(m) = 33327*m + 4381. Is o(10) a prime number? True Suppose -76 = 23*h + 16. Is -1 + (-3)/(6/118)*h prime? False Suppose 4*s - 48153 = 5*w, 4*s = -2*w + 35268 + 12878. Suppose 8*g = 117309 - s. Is g prime? True Suppose 4*a = -2*p - p + 112651, 0 = -3*p + 3. Let w = -11348 + a. Is w/8 + 87/(-116) prime? False Is ((-2)/4)/((-16)/72 + (-226220)/(-1018152)) a prime number? False Let i(s) = 260*s**2 - 21*s + 359. Is i(26) composite? False Let x(l) = -68*l + 1537. Is x(15) prime? False Let m(o) = 2904*o**2 - 209*o + 1022. Is m(5) composite? False Let p(k) = -4*k**2 - 27*k - 22. Let i be p(-7). Is (1 - i*424 - -5) + -1 a prime number? True Suppose 0 = 9*w - 4*w + 415. Let f = w - -91. Is f - 4 - 8822/(-2) composite? True Let b(g) = -10*g**3 + 33*g**2 + 88*g - 17. Is b(-14) prime? False Let y(g) = -g**3 - 42*g**2 - 75*g + 591. Is y(-41) prime? False Let s(q) be the third derivative of -q**6/60 - q**5/10 + q**4/6 + 5*q**3/6 - q**2 - 63*q. Is s(-9) composite? False Suppose 0 = 6*k + 113 - 41. Suppose -o + w + 3 = 0, 2 + 0 = -4*o - 3*w. Is o/3 - 22880/k prime? True Let b = 394 - 238. Let c = b - 41. Is (-6)/(-10) - (-53636)/c composite? False Let g = 13558 + 14599. Is g prime? False Let r = 99 - 95. Suppose 0 = r*u - o - 3*o - 476, 0 = 2*u - 3*o - 242. Is u a prime number? False Let w(p) = 39*p - 1. Let z = -43 - -94. Let k = 53 - z. Is w(k) a composite number? True Let c(p) = -4402*p**2 + 5*p - 4. Let w be c(1). Let j be (4 - w) + 10/(-2). Let m = j - 623. Is m a composite number? True Let u be -1 + -4*2/(-4) + 1575. Let t = u - 383. Suppose -3*l - 1591 = -4*m - 0*m, 3*m - 2*l - t = 0. Is m composite? False Let z(w) = 3*w + w**3 + 17294 - w - 17298 - 6*w**2. Let l be ((-27)/(-6))/(2/4). Is z(l) composite? False Let s(w) = -w**3 + w - 1. Let u(k) = 10817*k**3 - k**2 - 5*k + 7. Let p(z) = 4*s(z) + u(z). Is p(1) a composite number? True Let j(z) = 3*z + 33. Let f be j(-11). Let o be (-3 + f)/6*(0 - -2). Is o/(-6) - 9795/(-90) prime? True Let k(r) be the third derivative of 25*r**4/3 + 9*r**3/2 + 5*r**2 - 4. Let b(t) = 3*t**2 + 2*t - 2. Let y be b(-2). Is k(y) a composite number? True Is (-39554 - 0)*(-152)/(-144)*-9 composite? True Suppose 5*t = 2*r + 25377, 5*t = 8*t - 3*r - 15219. Suppose -9*m + 14104 = t. Suppose 2*o - m = -4*b + 1279, -3*o = -b - 3458. Is o a prime number? True Suppose -61161 = 45*c - 74*c. Suppose 3*l = 12582 + c. Is l composite? True Suppose -5*l + 218 = x - 81, 5*x - l - 1469 = 0. Suppose 0 = 4*m - x - 10022. Is m a prime number? True Let a be 117*((-16)/12)/(-4). Let o = -2197 + a. Is (2 + 0)/((-4)/o) prime? False Suppose -13501*j + 866595 = -13496*j. Is j a prime number? False Let a be ((-11 - -1) + -1)*-1. Let i(r) be the third derivative of 35*r**4/8 + 13*r**3/3 + 2*r**2 + 3311. Is i(a) composite? False Let z(w) = -44*w + 4. Let u be z(3). Let y = 293 + u. Suppose r - y - 52 = 0. Is r a composite number? True Suppose -4*y - 2*r = y, 0 = y - r - 7. Let x be y/12 - (-5032)/48. Let d = 4376 + x. Is d a composite number? False Suppose -3*n = -4*l + 1003315 + 248363, l = 4*n + 1668917. Is ((-2)/(-1))/((-11)/(n/20)) a prime number? True Let a = 193 + 4463. Let y = a + -7291. Let q = y - -3750. Is q composite? True Suppose 65*g = 28*g + 2591887. Is g prime? True Suppose -s - 27 = -4*s - 3*h, -5*h = 2*s - 15. Let y(w) = 5*w**3 + 8*w**2 - 13*w - 4. Is y(s) a composite number? True Let c(k) = -7*k**3 - 2*k**2 + 25*k + 3. Let j(q) = 8*q**3 + 3*q**2 - 27*q - 2. Let h(n) = 7*c(n) + 6*j(n). Is h(-8) composite? False Is (9 - 12 - -4)*155689 a prime number? True Let u = -6126 + 11015. Suppose 0*c - 4*c - 4*p + 7464 = 0, 5*p - 3729 = -2*c. Suppose 4*i = u + c. Is i a composite number? True Let l = -1676 - -970. Let m = -310 - l. Suppose -368 - m = -4*t. Is t a composite number? False Let k = -134 - -103. Let c be (1*-1 - k)/(8/4). Is 12945/9 + (-20)/c a prime number? False Suppose -34*j = -31*j + 48. Let w(m) = m**3 + 17*m**2 + 18*m + 40. Let d be w(j). Is 6995/15 + 2 + d/(-6) composite? False Let x(w) = 4*w**3 - 22*w**2 + 87*w - 17. Let o be x(27). Suppose 2*z + 2 = 0, 0 = -2*j + 5*j + 5*z - o. Is j a prime number? False Is ((-36508)/4 + 0)*1/(10/(-110)) prime? False Let p(d) = 71*d**2 - 16*d - 127. Let r be p(32). Is 1/(-2) + r/14 prime? True Let a(g) be the second derivative of -440*g**3/3 - 47*g**2/2 + 126*g. Is a(-7) prime? True Suppose 3*x - 4*j = -3*j + 182, 0 = -j + 4. Let t(q) = -x*q - 11 + 0 - 10. Is t(-5) a prime number? False Let l = 31267 - 19956. Is l prime? True Suppose -3*o - 2*c = 256, 3*o = -0*o - 4*c - 248. Let w = 83 + o. Is (w + 18)/(1/467) a composite number? True Let x be (10*2/12)/(5/1785). Let p be -4*(214/4)/1. Let f = p + x. Is f a composite number? True Is (2/(-4))/(1/(-6)) - (-6 + -75422) a prime number? True Suppose 0 = -2*u + 6*u - 20, 3*n + u = 1178. Suppose 0 = -6*l + 4670 + 166. Let r = l - n. Is r composite? True Let a(c) = 25*c**2 + 4*c**2 - 5*c + 3 + 2 - c. Let q = 44 - 48. Is a(q) a prime number? False Suppose -434*t + 562384 = 2*k - 437*t, -1124760 = -4*k + 2*t. Is k composite? False Suppose -59968 = -5*w - 19518. Suppose 0 = 2*u + w - 24864. Is u a composite number? False Is -13 + 11 + (-17 + -1)*(-8564)/8 a composite number? False Suppose 605122 - 176647 = 25*o. Is (-112)/140 - o/(-5) prime? False Let d be 5 + (6 - 5) - 23. Let m(j) = -j**3 - 17*j**2 - 5*j + 33. Is m(d) composite? True Let b(i) = 72*i**2 + 470*i - 490. Is b(106) composite? True Let v(u) = 3*u**3 - 25*u**2 - 10*u - 1. Let i(c) = -2*c**3 + 2*c. Let l(k) = -2*i(k) - v(k). Let g = -5 - 7. Is l(g) composite? False Suppose -2552810 = -17*c + 2816583 - 1556854. Is c composite? False Is 9 - (-112)/(-12) - (-7)/(42/104684) a composite number? True Let h(n) = n**2 - 16*n + 12. Let f be h(16). Suppose 3*v + 0*v - f = 3*l, 0 = 5*l - v + 4. Suppose -12 = 3*b, -z + 343 = -l*b + b. Is z a prime number? True Suppose 2*g - 126 = -0*g. Let b = 19 - 14. Suppose 0 = b*j + z - 1533, 3*z = 4*j - 1297 + g. Is j a prime number? True Suppose -73*r + 10 = -68*r. Suppose 3*a - 5*a - 3*z + 1790 = 0, -3564 = -4*a - r*z. Is a a prime number? False Suppose -f = -1 - 2. Suppose t + m - 856 = -3*m, -4*t + f*m = -3329. Let s = t - 319. Is s a prime number? False Suppose 12*v - 20 = 8*v, -4*v = 4*g - 223872. Is g prime? False Let u be 1/8 + (-3337005)/(-24). Suppose 20*r - u = -18*r. Is r a composite number? False Let p = -35 + 39. Let o be ((-4)/4 - -5)*(-649)/p. Let s = o + 1112. Is s a prime number? True Let z = 273 + -281. Is (42512/(-36))/(z/36) prime? False Suppose -2815 = -6*a + 35785 + 12190. Is a a composite number? True Let g be ((-10)/(-15))/((-2)/(-24)). Let j = -4 + g. Is (-2 - 225)/(j/(-12)) a prime number? False Let x(f) = 5*f**3 - 3*f**2 - 17*f - 15. Let w be x(-1). Is (-1)/w + ((-109318)/(-12) - 1) a composite number? False Suppose -7*s + 31 + 18 = 0. Suppose u - s*v - 623 = -4*v, -623 = -u - 3*v. Is u a prime number? False Suppose 0 = -34*h - 7*h - 21566. Is (-8 + 1)/(h/262 - -2) a prime number? False Let s = -28 - -34. Let j be 1/((-4)/s*(-9)/24). Suppose 3*x - q - 815 = j*q, 0 = -x - 2*q + 257. Is x composite? True Let z(p) = 133*p + 76. Let k be z(-4). Let o = 1363 + k. Is o composite? False Let t = -15270 + 228337. Is t composite? False Let w(r) = 92*r**3 - 4*r**2 + r + 2. Let z = 13 + -10. Is w(z) a prime number? False Let l be -474 - 7/((-14)/8). Let i = 2471 + l. Suppose -6*c + 3*c + i = 0. Is c a prime number? False Suppose -x + 30 = 5*x. Suppose -107 = -5*v - 3*q + x*q, -4*v + 72 = -5*q. Suppose 0 = -l - v + 150. Is l a prime number? True Let o be -5*4*6/8. Let i(y) = -232*y - 6. Let g be i(o). Suppose 4*l + 1390 = g. Is l composite? False Let u(n) = 91710*n + 15091. Is u(9) a composite number? True Let g be 1191/57 - 50/(-475). Let f(i) = i**3 + 10*i**2 - 22*i + 50. Is f(g) a prime number? True Let i be 20/(4 + 1) + -2 + 1. Suppose m = g - 2067, -i*g = -6*g + 5*m + 6209. Is g composite? False Let
{ "pile_set_name": "DM Mathematics" }
3 days in weeks? 77.42099 How many tonnes are there in 734.777g? 0.000734777 What is fifty-one eighths of a second in milliseconds? 6375 What is eleven quarters of a gram in milligrams? 2750 What is 12921.186 months in decades? 107.67655 What is 0.306946 hours in nanoseconds? 1105005600000 Convert 8.06919 months to centuries. 0.006724325 How many micrometers are there in one tenth of a centimeter? 1000 How many months are there in 26/5 of a century? 6240 How many grams are there in 1/10 of a kilogram? 100 How many centimeters are there in 5/4 of a meter? 125 How many minutes are there in 1/4 of a day? 360 What is 1688.08 micrograms in nanograms? 1688080 How many weeks are there in 45141.6 days? 6448.8 What is 129.7677 years in months? 1557.2124 What is 1/10 of a meter in micrometers? 100000 How many months are there in 25/2 of a year? 150 How many days are there in 86/7 of a week? 86 What is 39758.47kg in tonnes? 39.75847 How many nanograms are there in 1/10 of a milligram? 100000 How many hours are there in five sixths of a week? 140 How many grams are there in one fifth of a kilogram? 200 How many micrometers are there in 6/25 of a millimeter? 240 What is one tenth of a milligram in micrograms? 100 How many hours are there in fifty-two thirds of a day? 416 How many milliseconds are there in twenty-five quarters of a second? 6250 What is 2.145133 nanometers in kilometers? 0.000000000002145133 What is 3/8 of a litre in millilitres? 375 What is 6.29243 litres in millilitres? 6292.43 Convert 337.4446 millennia to years. 337444.6 How many meters are there in 915.9444 millimeters? 0.9159444 How many millennia are there in 653.8239 months? 0.054485325 How many micrograms are there in one tenth of a gram? 100000 Convert 68815.18 litres to millilitres. 68815180 How many meters are there in three fifths of a kilometer? 600 What is fifty-three fifths of a litre in millilitres? 10600 How many millilitres are there in 6/25 of a litre? 240 How many micrograms are there in 33.7228 kilograms? 33722800000 How many micrometers are there in 933647.8m? 933647800000 What is 574228.7ng in grams? 0.0005742287 How many grams are there in 463866.6ug? 0.4638666 What is 6/25 of a microgram in nanograms? 240 How many microseconds are there in 25/4 of a millisecond? 6250 How many millimeters are there in 31/5 of a centimeter? 62 What is five eighths of a gram in milligrams? 625 What is one tenth of a gram in milligrams? 100 How many millilitres are there in thirteen fifths of a litre? 2600 How many litres are there in 2757.216ml? 2.757216 How many nanograms are there in one tenth of a milligram? 100000 What is 25476.6ng in tonnes? 0.0000000000254766 What is 11526.2mm in meters? 11.5262 How many minutes are there in 10/3 of a hour? 200 How many decades are there in thirty-seven fifths of a century? 74 How many weeks are there in 779.644845ns? 0.0000000000012890953125 What is 43571.64ug in kilograms? 0.00004357164 How many seconds are there in six fifths of a minute? 72 Convert 0.0133072 meters to centimeters. 1.33072 What is 1372.5225 microseconds in minutes? 0.000022875375 How many nanoseconds are there in 5/4 of a microsecond? 1250 Convert 2301.6024 months to years. 191.8002 How many centuries are there in one fifth of a millennium? 2 Convert 2.443915 nanometers to centimeters. 0.0000002443915 What is 13/4 of a tonne in kilograms? 3250 What is 1/5 of a kilogram in grams? 200 Convert 594.7864 days to microseconds. 51389544960000 How many seconds are there in 1/24 of a week? 25200 What is 67/5 of a litre in millilitres? 13400 How many months are there in thirty-four fifths of a decade? 816 What is twenty-five quarters of a litre in millilitres? 6250 What is 2512.58kg in grams? 2512580 Convert 9604.649 years to decades. 960.4649 What is 3/5 of a litre in millilitres? 600 What is 8/25 of a millennium in months? 3840 How many months are there in 1/5 of a century? 240 How many milligrams are there in six fifths of a gram? 1200 How many minutes are there in twelve sevenths of a week? 17280 What is 3/5 of a decade in years? 6 What is 17.83289mm in nanometers? 17832890 Convert 889349.7s to milliseconds. 889349700 What is 70872.26 millennia in centuries? 708722.6 How many hours are there in 379348.2 days? 9104356.8 How many months are there in twenty-one fifths of a century? 5040 What is 0.511536um in nanometers? 511.536 How many months are there in 5/4 of a millennium? 15000 What is 29/5 of a gram in milligrams? 5800 What is 64379.54nm in meters? 0.00006437954 Convert 267004.59 minutes to hours. 4450.0765 How many kilograms are there in one quarter of a tonne? 250 What is seventy-three fifths of a century in decades? 146 How many meters are there in twenty-one fifths of a kilometer? 4200 How many seconds are there in 71.13939 milliseconds? 0.07113939 What is 27/5 of a meter in centimeters? 540 Convert 302266.8 litres to millilitres. 302266800 Convert 206318.16ms to hours. 0.0573106 How many micrograms are there in 7/8 of a milligram? 875 Convert 613.06542 milliseconds to hours. 0.00017029595 What is 0.4509588l in millilitres? 450.9588 What is 1.667765 hours in seconds? 6003.954 What is four thirds of a century in months? 1600 How many milligrams are there in eleven quarters of a gram? 2750 How many years are there in 3/5 of a millennium? 600 How many millilitres are there in 17839.95 litres? 17839950 How many nanoseconds are there in 25/4 of a microsecond? 6250 How many milligrams are there in five quarters of a gram? 1250 How many milligrams are there in 11/2 of a gram? 5500 Convert 709.1149 nanograms to kilograms. 0.0000000007091149 What is seventeen quarters of a week in minutes? 42840 How many millilitres are there in seventeen quarters of a litre? 4250 Convert 18337619.16 milliseconds to weeks. 0.0303201375 What is eleven eighths of a millennium in months? 16500 What is 4.094185m in centimeters? 409.4185 What is 4/15 of a week in minutes? 2688 What is 5.925711t in micrograms? 5925711000000 How many days are there in 10778362.2s? 124.7495625 Convert 0.4684689 micrometers to centimeters. 0.00004684689 How many meters are there in 51/5 of a kilometer? 10200 Convert 46.51997 minutes to seconds. 2791.1982 How many weeks are there in 1064.94255 hours? 6.33894375 What is five eighths of a tonne in kilograms? 625 What is one sixteenth of a tonne in grams? 62500 How many weeks are there in 16299378.9us? 0.00002695003125 Convert 617036.5 centimeters to nanometers. 6170365000000 What is 13/8 of a litre in millilitres? 1625 How many millilitres are there in 6/25 of a litre? 240 Convert 802407.6kg to grams. 802407600 How many minutes are there in 21/5 of a hour? 252 What is thirteen quarters of a kilometer in meters? 3250 How many litres are there in 0.9834167 millilitres? 0.0009834167 How many micrometers are there in fourty-eight fifths of a centimeter? 96000 How many milligrams are there in eleven eighths of a gram? 1375 How many litres are there in 54641.1ml? 54.6411 What is 7709.39 centuries in decades? 77093.9 What is 6/5 of a tonne in kilograms? 1200 Convert 9316.459 milligrams to kilograms. 0.009316459 How many millilitres are there in 1/4 of a litre? 250 What is three fifths of a litre in millilitres? 600 What is five eighths of a week in minutes? 6300 What is 1/10 of a kilometer in millimeters? 100000 What is one tenth of a meter in centimeters? 10 How many litres are there in 3231.713ml? 3.231713 Convert 721.01 millilitres to litres. 0.72101 How many weeks are there in 132538480.2s? 219.1443125 What is 946242.3 centuries in months? 1135490760 Convert 210246.2 minutes to microseconds. 12614772000000 What is 827320.5 centimeters in nanometers? 8273205000000 How many kilograms are there in 31/2 of a tonne? 15500 What is 74.48315ml in litres? 0.07448315 How many meters are there in seven quarters of a kilometer? 1750 What is one fifth of a centimeter in millimeters? 2 How many millilitres are there in fifteen quarters of a litre? 3750 What is 3/50 of a century in months? 72 Convert 1.7305182s to hours. 0.0004806995 Convert 524.1229 meters to micrometers. 524122900 What is seven quarters of a millennium in months? 21000 What is 61/2 of a millennium in decades? 3050 What is o
{ "pile_set_name": "DM Mathematics" }
ositive. s**(695/21) Simplify (i**(-2/21))**(-20)/(((i*i**8*i)/i)/(i/(i*i/i**(1/27)))) assuming i is positive. i**(-1523/189) Simplify ((q**(-7/6))**(2/21))**(-29) assuming q is positive. q**(29/9) Simplify ((j/j**(-15))**4)**(2/37) assuming j is positive. j**(128/37) Simplify ((y*y**8)/y)/y**(-1)*(y/y**(2/9))**39 assuming y is positive. y**(118/3) Simplify (u*u**(2/9)/u*u*u)/(u/(u/(u*u/u**(-2/25))))*u**1*(u/u**10)/u assuming u is positive. u**(-1993/225) Simplify ((y/(y/(y*((y**(3/28)/y)/y)/y*y)))/y**8)**(-35) assuming y is positive. y**(1245/4) Simplify (j**(-1/18))**48*(j/((j**(-1/3)*j)/j))**(-11) assuming j is positive. j**(-52/3) Simplify c**(-11)/c**(-3/8)*c/(c**(-9)*c)*c**(-2/3) assuming c is positive. c**(-55/24) Simplify (x**(-4/13)*(x/x**11)/x)/(x/(x/((x**(3/4)*x)/x*x)))**7 assuming x is positive. x**(-1225/52) Simplify i**(-1/3)/i**(5/8)*(i/((((i*i*i**(-1)/i)/i)/i)/i))**38 assuming i is positive. i**(3625/24) Simplify ((d/((d*d/(d/(d*((d/(d*d**(3/10)))/d)/d)*d))/d))/(d**(-14)/d))/(d**(-8/5)*d/(d/(d/((d**14*d)/d)))) assuming d is positive. d**(329/10) Simplify (b**(-1/4)/b**(2/11))**(-5/9) assuming b is positive. b**(95/396) Simplify (d**(2/7))**(-5/9)*d/(d/(d/(d*d*d**(-20))))*d*(d*d**(14/9))/d*d assuming d is positive. d**(1411/63) Simplify n**(-2)/n**7*(n**(-5)/n)/n**(-5) assuming n is positive. n**(-10) Simplify ((b**(1/5))**(9/2)/(b/((b/(b**(-2)/b))/b))**2)**49 assuming b is positive. b**(2401/10) Simplify (((z**(-1))**(-10))**(-36))**(17/5) assuming z is positive. z**(-1224) Simplify a**8*a*(a**7*a)/a*a**(3/2)/(a**8/a) assuming a is positive. a**(21/2) Simplify ((y**22*y)/(y*(y/((y**(-17)/y)/y))/y))**(1/8) assuming y is positive. y**(3/8) Simplify (d**(-2/13))**(-6/17)*d**(2/3)/(d*d**(1/8)*d) assuming d is positive. d**(-7447/5304) Simplify (n**0/n)**(11/7)*(n/n**18*n)/n**(-4/5) assuming n is positive. n**(-587/35) Simplify (s**(-19))**(-3/32)*s**(7/5)/s**24 assuming s is positive. s**(-3331/160) Simplify h**9*h/h**(-3)*h**(1/31)*h**9/h assuming h is positive. h**(652/31) Simplify ((f**3/f)/(f**(-3)*f))/((f/(f/(f*((f/f**8)/f)/f)))/f**(-3)) assuming f is positive. f**9 Simplify (c**(8/3))**37/(c**24*c**32) assuming c is positive. c**(128/3) Simplify (l*l*l**(-1)*l)/(l/(l**(-2/23)*l))*(l*l*l**(-1/4))/l*l/(l/(l*l*l*l/(l**(3/7)/l))) assuming l is positive. l**(4659/644) Simplify (p**(3/19)/p*p**17)**(4/13) assuming p is positive. p**(1228/247) Simplify (w/(w/((w/(w/(w*w**11*w)))/w))*w)/w*w**(-16)/w*w*w*(w/w**9)/(w*w*w*w*(w/(w/(w/((w/w**(4/11))/w))*w))/w*w*w) assuming w is positive. w**(-180/11) Simplify ((x/(x**(-7)/x))/x**(-2/13))/(x**(-14)/(x*x*x**4*x)) assuming x is positive. x**(392/13) Simplify (((((g*g**(-44))/g*g)/g)/g)**(-11))**(-28) assuming g is positive. g**(-13860) Simplify (p*(p*p**(8/7))/p)**(-10)/((p/p**3)/p)**21 assuming p is positive. p**(291/7) Simplify d*d*d/(d*d/(d/(d*d*d**(-2/37)*d)))*d**(2/9)*d**(-4/7)/d**13 assuming d is positive. d**(-33322/2331) Simplify (y*y/y**(-2/5))/y**(3/10)*y**1/(y/(y*y**(-10)*y)) assuming y is positive. y**(-59/10) Simplify (f*f**39*f/(f**(-28/3)/f)*f)**30 assuming f is positive. f**1570 Simplify (q**(-2/31)/q)**11*(q/(q*q**18))/(q*q/(q*((q**(20/7)*q)/q)/q)) assuming q is positive. q**(-6261/217) Simplify ((v**(2/3))**(4/3)*v*v/v**(1/4)*v**(-9)*v*v)**(-2/13) assuming v is positive. v**(157/234) Simplify ((v*v*v/(v/(v**(-1/2)/v)*v*v*v*v))/(v/v**(-3))*(v*v*v/(v/(v*v/(v**1*v))*v))**43)**(-2/33) assuming v is positive. v**(-71/33) Simplify ((p**4*p*p**(5/6))**(1/16))**(1/30) assuming p is positive. p**(7/576) Simplify (((x*x**(-2/5))/x)**23/(x*x**4*x/x**(-2/13)))**(-15/2) assuming x is positive. x**(1497/13) Simplify (y*y**(4/11)*y*(y*y**(-2/5))/y)/(y**22/(y/y**7*y)) assuming y is positive. y**(-1377/55) Simplify m**3*m*m**7*m**(2/17)*m*m/(m*m**(2/7)*m*m) assuming m is positive. m**(1170/119) Simplify ((d/d**(-4)*d)/d)/d**(-5/6)*(d**(1/2))**(-11/4) assuming d is positive. d**(107/24) Simplify (((r**(2/3)*r)/(r*(r*r/(r/((r*r**(3/5))/r)))/r))**(-34))**(-1/15) assuming r is positive. r**(34/225) Simplify (o*(o/(o/o**6))/o)**(2/21)/(o**1/o**(-1/13)) assuming o is positive. o**(-46/91) Simplify (r**(2/5)/r*r)**(17/5)/(r*r*r*r*r**(1/3))**(-20) assuming r is positive. r**(6602/75) Simplify (y**(-11)*y)/(y/(y/(y**1*y)*y))*y**(7/3)*y**7 assuming y is positive. y**(-5/3) Simplify ((s**(10/9)*s)/s**(-1/6)*s**(2/25)/(s/(s/((s**(-3/5)*s)/s))*s*s))**9 assuming s is positive. s**(431/50) Simplify b**(-13)/b**13*(((b/(b**(1/4)/b)*b)/b)/b)**(-4/23) assuming b is positive. b**(-601/23) Simplify y*y**(-9)*y**(-2/3)*y/(y/(y*(y*((y**(-12/7)/y)/y)/y)/y))*y**(7/3) assuming y is positive. y**(-211/21) Simplify v*v**(-1/7)*v**(1/2)*v/(v*v**(-8)*v)*v*(v**(-2/25)*v)/v assuming v is positive. v**(3247/350) Simplify (u/((u*u*u/u**4)/u))**(-1/3)*(u/(u**4*u)*u)**(-2/51) assuming u is positive. u**(-15/17) Simplify (l**(4/11)/(((l*l**7)/l)/l*l))**45 assuming l is positive. l**(-3285/11) Simplify (b/b**(-5))/b**29*((b**(2/39)/b)/b*b*b)/(b/(b/b**(-5/6)*b)) assuming b is positive. b**(-549/26) Simplify (v**(1/10)*v*v**(-5/4))/(v**(-1/4))**(2/73) assuming v is positive. v**(-209/1460) Simplify (a/((a*a*((a/a**(-2/7)*a)/a)/a*a)/a))**(32/3)*(a*a*a/(a*a*a*(a**(-3/5)*a)/a))/a*a**2 assuming a is positive. a**(-424/35) Simplify ((s*s/s**(-26)*s)/s**(-12/7))/(s/s**9*s)**(1/22) assuming s is positive. s**(4779/154) Simplify ((l**(-2/13)*(l*l/(l/(l**(2/3)/l))*l*l*l)/l)**(-16))**(2/25) assuming l is positive. l**(-3136/975) Simplify (((t/(t*t/(t/t**(-4))*t))/t)/t**(1/28))/(t**25*t**(-22)*t) assuming t is positive. t**(-57/28) Simplify (f*f/(f/(f*f**1*f*f)))**(2/31)*(f/(f**(6/7)/f))**(-5/4) assuming f is positive. f**(-240/217) Simplify (d**(-11))**(4/21)*(d**(-3/5)/d)/d*d**18/d assuming d is positive. d**(1292/105) Simplify (p**(7/2))**(1/28)*(p**(3/7))**(-13) assuming p is positive. p**(-305/56) Simplify ((o**(-3/7)*o**0*o)/(o*o/(o*o**(-1)))**8)**(-28/5) assuming o is positive. o**(432/5) Simplify (a**(-1/6))**(-7)*(a**(10/7))**22 assuming a is positive. a**(1369/42) Simplify (y**(-4/3)/y)/y**17*y*y/(y**(8/3)*y)*y*y**1 assuming y is positive. y**(-19) Simplify (p**(-10))**(10/3)/((p**(-10)*p)/(p/p**(-13))) assuming p is positive. p**(-31/3) Simplify (r/r**(1/7))/r**(-3/5)*(r*r**1*r*r)**(-2/25) assuming r is positive. r**(199/175) Simplify (f*f/(f*f*f**8*f)*f*f)**42/(f**(-1/9)*f*f**25*f) assuming f is positive. f**(-2888/9) Simplify (b/(b*b**(4/11)))/b**12*(b/(b/(b**2*b*b*b)))**(-12) assuming b is positive. b**(-796/11) Simplify (j*j*j**(-25))/(j*j**(-14))*(j**(1/28)*j)/j*j**(-25/4) assuming j is positive. j**(-227/14) Simplify ((u*u/(u*u**(-9))*u*u*u)/u**(-19))**(-1/61) assuming u is positive. u**(-32/61) Simplify ((((i/(i/(i*(i*i**(2/13))/i*i))*i)/i*i)/i)/i*i*i**(-2/7)*(i*i*(i**(-2/5)/i)/i)**(1/34))**12 assuming i is positive. i**(172308/7735) Simplify ((f**16/f)/(f*f/f**(-2/7)))/(f**(-2/15))**(1/35) assuming f is positive. f**(6677/525) Simplify u**(-18)/u**(3/29)*(u**21)**(-1/14) assuming u is positive. u**(-1137/58) Simplify ((x**(1/2)*x)**(3/4)*(x**0/x)/(x**(2/7)/x))**(-30) assuming x is positive. x**(-705/28) Simplify ((h/(h/(h/(h*h/h**(-5/3))*h)))/h**(8/3))/(((h**(-4/9)/h)/h)/(h**6/h)) assuming h is positive. h**(28/9) Simplify (b**12/b)**(-13/8)/(b**(-3)*b*b/((b*b*b**(-2/33)/b*b)/b)) assuming b is positive. b**(-4207/264) Simplify (g**5)**(-24/7)/(((g**(-7)*g)/g)/g**(-3)) assuming g is positive. g**(-92/7) Simplify (f*((f**4/f)/f)/f)**(3/7)/(f**4/(f*f**(-11))) assuming f is positive. f**(-92/7) Simplify (i/(i**0/i))**(-37)*(i*i*i**(-2/11))/i*i*i**(-1/5) assuming i is positive. i**(-3981/55) Simplify (y**(2/31)/y*y*y**(1/3)*y*(y*y**8)/(y**5/y))**(-14) assuming y is positive. y**(-8330/93) Simplify (m**(2/7))**(-8/3)/(m**(-4)/(m/((m*m**16)/m))) assuming m is positive. m**(-247/21) Simplify s**(-2/5)/(s*s**(2/23))*s*s**31*s/(s/((s/((s/(s/(s**(1/35)/s)))/s))/s)) assuming s is positive. s**(5230/161) Simplify (b**(-11)/b*b**23*b*b)**(-2/37) assuming b is positive. b**(-26/37) Simplify y**(7/5)*y**(-1/6)*(y**2)**36 assuming y is positive. y**(2197/30) Simplify (v**(-2/9)/v*v*v/(v*v**21))/(v**(-7/5)*(v**(2/29)*v)/v) assuming v is positive. v**(-25958/1305) Simplify (j/(j**(-15)/j))**(-34)*j**(-2/107)*(j/(j*j**11*j))/j*j*j*j as
{ "pile_set_name": "DM Mathematics" }
- 2 What is the f'th term of -2011, -2016, -2021, -2026, -2031? -5*f - 2006 What is the d'th term of 2326, 2322, 2316, 2308, 2298, 2286? -d**2 - d + 2328 What is the t'th term of -2, -1, 2, 7, 14? t**2 - 2*t - 1 What is the w'th term of 9, -5, -27, -57? -4*w**2 - 2*w + 15 What is the z'th term of -650, -634, -604, -554, -478, -370, -224, -34? z**3 + z**2 + 6*z - 658 What is the p'th term of -49, -71, -111, -175, -269? -p**3 - 3*p**2 - 6*p - 39 What is the w'th term of -132, -136, -140, -144, -148? -4*w - 128 What is the l'th term of 21, 29, 41, 57, 77, 101, 129? 2*l**2 + 2*l + 17 What is the g'th term of -81, -42, 37, 162, 339, 574, 873? g**3 + 14*g**2 - 10*g - 86 What is the y'th term of 17396, 34794, 52192, 69590, 86988, 104386? 17398*y - 2 What is the y'th term of 255, 513, 771, 1029, 1287, 1545? 258*y - 3 What is the b'th term of 30, 33, 46, 75, 126, 205, 318? b**3 - b**2 - b + 31 What is the b'th term of 3755, 3760, 3775, 3806, 3859? b**3 - b**2 + b + 3754 What is the f'th term of 721, 1433, 2121, 2773, 3377, 3921, 4393? -2*f**3 + 726*f - 3 What is the w'th term of -53, -69, -85, -101, -117? -16*w - 37 What is the i'th term of -4, -19, -28, -19, 20, 101, 236? 2*i**3 - 9*i**2 - 2*i + 5 What is the f'th term of -40, -34, -24, -10, 8, 30, 56? 2*f**2 - 42 What is the h'th term of -42, -40, -38, -36, -34? 2*h - 44 What is the r'th term of -2, -20, -42, -62, -74, -72, -50? r**3 - 8*r**2 - r + 6 What is the f'th term of 473, 473, 463, 437, 389, 313, 203, 53? -f**3 + f**2 + 4*f + 469 What is the w'th term of -4, 17, 54, 107, 176? 8*w**2 - 3*w - 9 What is the d'th term of -9204, -9203, -9202, -9201? d - 9205 What is the m'th term of -367, -371, -375? -4*m - 363 What is the s'th term of 17, 10, -23, -94, -215? -2*s**3 - s**2 + 10*s + 10 What is the k'th term of -166, -145, -118, -85, -46, -1? 3*k**2 + 12*k - 181 What is the y'th term of -44254, -44255, -44256, -44257, -44258? -y - 44253 What is the w'th term of -66, -104, -142, -180, -218, -256? -38*w - 28 What is the w'th term of 8, 0, -10, -16, -12, 8, 50, 120? w**3 - 7*w**2 + 6*w + 8 What is the n'th term of -50, -51, -52, -53, -54? -n - 49 What is the k'th term of -208, -209, -210, -211? -k - 207 What is the z'th term of 87, 84, 81, 78, 75, 72? -3*z + 90 What is the b'th term of 50, 76, 112, 158, 214, 280, 356? 5*b**2 + 11*b + 34 What is the l'th term of 372, 1602, 3656, 6540, 10260, 14822, 20232? l**3 + 406*l**2 + 5*l - 40 What is the j'th term of -777, -779, -781, -783, -785, -787? -2*j - 775 What is the f'th term of -1669, -1669, -1671, -1675, -1681, -1689? -f**2 + 3*f - 1671 What is the f'th term of 154, 162, 180, 214, 270, 354? f**3 - f**2 + 4*f + 150 What is the u'th term of 5, 21, 61, 137, 261, 445? 2*u**3 + 2*u + 1 What is the u'th term of -47, -37, -27, -17, -7? 10*u - 57 What is the y'th term of -375, -371, -365, -357, -347? y**2 + y - 377 What is the z'th term of -11, -1, 29, 91, 197, 359? 2*z**3 - 2*z**2 + 2*z - 13 What is the x'th term of -61, -60, -61, -64, -69, -76, -85? -x**2 + 4*x - 64 What is the f'th term of 397, 792, 1187, 1582, 1977? 395*f + 2 What is the i'th term of 34, 200, 484, 892, 1430, 2104? i**3 + 53*i**2 - 20 What is the p'th term of -1386, -1384, -1382, -1380, -1378, -1376? 2*p - 1388 What is the u'th term of -1926, -1923, -1918, -1911, -1902, -1891? u**2 - 1927 What is the m'th term of -9, -58, -143, -264, -421? -18*m**2 + 5*m + 4 What is the k'th term of 176, 340, 504? 164*k + 12 What is the g'th term of 1288, 2587, 3886, 5185? 1299*g - 11 What is the d'th term of 9, -5, -17, -21, -11? d**3 - 5*d**2 - 6*d + 19 What is the t'th term of 8, 3, -6, -19, -36, -57, -82? -2*t**2 + t + 9 What is the h'th term of -16, -23, -30, -37? -7*h - 9 What is the w'th term of -135, -133, -127, -117, -103? 2*w**2 - 4*w - 133 What is the b'th term of 291, 559, 827, 1095, 1363? 268*b + 23 What is the x'th term of 397, 382, 359, 322, 265, 182? -x**3 + 2*x**2 - 14*x + 410 What is the h'th term of 41, 45, 49? 4*h + 37 What is the h'th term of -39, -73, -107? -34*h - 5 What is the p'th term of 44, 179, 404, 719? 45*p**2 - 1 What is the s'th term of -118, -122, -126, -130, -134? -4*s - 114 What is the w'th term of 251, 276, 305, 338, 375, 416, 461? 2*w**2 + 19*w + 230 What is the w'th term of -308, -615, -922, -1229? -307*w - 1 What is the z'th term of -29, -21, -13, -5, 3? 8*z - 37 What is the z'th term of 36, 71, 106, 141? 35*z + 1 What is the u'th term of -9, 3, 41, 117, 243, 431, 693, 1041? 2*u**3 + u**2 - 5*u - 7 What is the d'th term of 1379, 2753, 4125, 5495, 6863, 8229, 9593? -d**2 + 1377*d + 3 What is the w'th term of -44, -38, -28, -14, 4, 26? 2*w**2 - 46 What is the k'th term of 4, 14, 30, 52, 80, 114? 3*k**2 + k What is the h'th term of 58, 80, 110, 148, 194? 4*h**2 + 10*h + 44 What is the y'th term of 46, 88, 130, 172, 214? 42*y + 4 What is the u'th term of 81, 158, 231, 300? -2*u**2 + 83*u What is the m'th term of -318, -636, -952, -1266, -1578, -1888? m**2 - 321*m + 2 What is the w'th term of 21, 25, 41, 75, 133, 221, 345? w**3 - 3*w + 23 What is the x'th term of 396, 360, 324, 288? -36*x + 432 What is the h'th term of -185, -369, -553, -737? -184*h - 1 What is the p'th term of 4003, 3985, 3947, 3883, 3787, 3653? -p**3 - 4*p**2 + p + 4007 What is the g'th term of -25, -45, -49, -31, 15, 95, 215? g**3 + 2*g**2 - 33*g + 5 What is the h'th term of 58, 406, 1354, 3202, 6250, 10798, 17146, 25594? 50*h**3 - 2*h + 10 What is the y'th term of 95, 96, 97, 98, 99, 100? y + 94 What is the t'th term of -16, -71, -154, -259, -380? t**3 - 20*t**2 - 2*t + 5 What is the t'th term of 1, -6, -27, -68, -135, -234? -t**3 - t**2 + 3*t What is the r'th term of -888, -1759, -2630, -3501, -4372, -5243? -871*r - 17 What is the x'th term of 13010, 26022, 39034? 13012*x - 2 What is the d'th term of -654, -1271, -1898, -2541, -3206? -d**3 + d**2 - 613*d - 41 What is the x'th term of -2071, -2082, -2107, -2152, -2223, -2326, -2467? -x**3 - x**2 - x - 2068 What is the l'th term of 2, 1, 14, 47, 106, 197, 326, 499? l**3 + l**2 - 11*l + 11 What is the n'th term of 50, 84, 120, 158? n**2 + 31*n + 18 What is the g'th term of 6270, 12538, 18806? 6268*g + 2 What is the h'th term of -273, -544, -825, -1122, -1441, -1788, -2169, -2590? -h**3 + h**2 - 267*h - 6 What is the s'th term of -36, -66, -96? -30*s - 6 What is the z'th term of -11253, -11242, -11215, -11166, -11089, -10978, -10827? z**3 + 2*z**2 - 2*z - 11254 What is the p'th term of -9664, -9646, -9602, -9520, -9388, -9194, -8926, -8572? 2*p**3 + p**2 + p - 9668 What is the b'th term of 291, 301, 313, 327, 343, 361? b**2 + 7*b + 283 What is the s'th term of -45, -193, -441, -789, -1237, -1785, -2433? -50*s**2 + 2*s + 3 What is the x'th term of -62, -65, -70, -77, -86, -97, -110? -x**2 - 61 What is the q'th term of -130, -261, -392, -523, -654? -131*q + 1 What is the n'th term of -10, -18, -30, -46? -2*n**2 - 2*n - 6 What is the y'th term of -40, -47, -52, -55, -56, -55? y**2 - 10*y - 31 What is the p'th term of 4746, 4747, 4748? p + 4745 What is the k'th term of -6877, -13770, -20677, -27604, -34557, -41542, -48565, -55632? -k**3 - k**2 - 6883*k + 8 What is the r'th term of -69, -137, -209, -285, -365, -449, -537? -2*r**2 - 62*r - 5 What is the g'th term of -110, -102, -88, -68, -42, -10? 3*g**2 - g - 112 What is the u'th term of -834, -6605, -22274, -52791, -103106? -825*u**3 + u**2 + u - 11 What is the a'th term of 32, 72, 112, 152? 40*a - 8 What is the m'th term of -16, -15, 6, 53, 132? m**3 + 4*m**2 - 18*m - 3 What is the g'th term of -261, -498, -735, -972? -237*g - 24 What is the w'th term of 6981, 6979, 6977, 6975? -2*w + 6983 What is the u'th term of 1454, 1455, 1456, 1457? u + 1453 What is the r'th term of 40, 53, 66, 79? 13*r + 27 What is the i'th term of -32, -230, -766, -1808, -3524, -6082, -9650? -28*i**3 - i**2 + i - 4 What is the h'th term of -10, -56, -124, -208, -302, -400, -496, -584? h**3 - 17*h**2 - 2*h + 8 What is the o'th term of -997, -1996, -3005, -4030, -5077, -6152, -7261? -o**3 + o**2 - 995*o - 2 What is the j'th term of 151, 300, 449, 598, 747, 896? 149*j + 2 What is the g'th term of 257, 260, 277, 314, 377, 472? g**3 + g**2 - 7*g + 262 What is the m'th term of 95, 196, 297, 398? 101*m - 6 What is the r'th term of -108,
{ "pile_set_name": "DM Mathematics" }
1/3*q**5 = 0. What is q? -2, -1, 0, 1 Let k(s) be the second derivative of s**5 + 27*s**4 + 224*s**3 + 128*s**2 - 6*s - 1. Determine f, given that k(f) = 0. -8, -1/5 Let l be (-33)/(-117) + -1*1/(-3). Let m = -11/39 + l. Let 0 + m*j**2 + 0*j + 1/6*j**3 = 0. What is j? -2, 0 Let n(z) be the third derivative of z**9/60480 - z**8/13440 + z**7/10080 + z**4/6 - 5*z**2. Let o(g) be the second derivative of n(g). Solve o(x) = 0. 0, 1 Let o be (2/(-12))/(8/(-40)). Factor -o*y + 1 + 1/6*y**2. (y - 3)*(y - 2)/6 Let m(f) be the third derivative of -f**8/80640 - f**7/2520 - f**6/240 + f**5/30 - f**3/6 - 2*f**2 + 2. Let a(l) be the third derivative of m(l). Factor a(n). -(n + 2)*(n + 6)/4 What is k in -7*k**3 + 13*k**3 - 36*k - 7*k**2 - 4*k**3 - 17*k**2 - 6*k**3 = 0? -3, 0 Let q(c) be the third derivative of c**6/300 + 7*c**5/150 + 11*c**4/60 + c**3/3 - 47*c**2. Factor q(v). 2*(v + 1)**2*(v + 5)/5 Suppose -16/3*c**2 + 0 - 16/9*c - 4*c**3 = 0. Calculate c. -2/3, 0 Let s(v) be the first derivative of -v**4/24 - 2*v**3/3 + v**2/12 + 2*v - 678. Factor s(l). -(l - 1)*(l + 1)*(l + 12)/6 Suppose -q - q = -3*a, 0 = -a + 2*q - 4. Factor 9*g**3 - 11*g**2 - 6*g**3 + a*g**3 + 6*g**2. 5*g**2*(g - 1) Suppose -260*l = -253*l - 14. Suppose l*v = -5*v + 14. Solve -1/2*o**v - 9/2 - 3*o = 0 for o. -3 Let d(a) be the second derivative of 4*a**7/147 - 29*a**6/105 + 3*a**5/70 + 29*a**4/42 - a**3/3 - 3*a + 60. Let d(i) = 0. Calculate i. -1, 0, 1/4, 1, 7 Let n = -105 + 534/5. Let y be -1 - (-8 + 1 + 3). Factor -n*t**y + 0 + 3/5*t**4 + 0*t + 0*t**2. 3*t**3*(t - 3)/5 Let v(o) = -10*o + 3. Let g be v(-2). Let b = g + -21. Factor -k**2 - 3*k - 6 + 6*k**b - 2*k**2. 3*(k - 2)*(k + 1) Let z be ((-1458)/(-1944))/(7*1/8). Factor 3/7*n + 3/7*n**2 - z. 3*(n - 1)*(n + 2)/7 Suppose -86*j = 135*j - 19*j - 404. Solve -1/3*n + 1/3*n**j + 0 = 0 for n. 0, 1 Let z be 1/4 - (-2530)/(-17480). Determine p, given that 2/19*p**2 + 0 - z*p = 0. 0, 1 Suppose 2 - 5 = -3*y. Let u be 48/(-12) + 5*y. Factor -25/4*b**2 - 19/4*b**3 - u - 4*b - 7/4*b**4 - 1/4*b**5. -(b + 1)**3*(b + 2)**2/4 Let w(s) be the second derivative of -5*s**6/6 + 73*s**5/4 - 475*s**4/4 + 595*s**3/6 + 245*s**2 - 21*s - 5. Solve w(n) = 0. -2/5, 1, 7 Let q be (-6)/(8/4 + -4). What is o in -4*o**q + 15*o**4 - 17*o**4 + 2*o**3 = 0? -1, 0 Let t(g) = g**2 + 10*g - 9. Let m = -9 - 2. Let r be t(m). Suppose -4*y**2 + 3*y**r - 3*y**2 - 2*y**3 - 2*y = 0. Calculate y. -1, 0 Let f(g) be the third derivative of g**7/210 + 7*g**6/160 - 47*g**5/240 + 5*g**4/32 + 7*g**3/24 + 327*g**2. Factor f(k). (k - 1)**2*(k + 7)*(4*k + 1)/4 Let y(g) be the third derivative of 0*g**4 - 16*g**2 + 0*g + 0*g**3 + 0 + 1/350*g**7 + 1/200*g**6 + 0*g**5. Factor y(a). 3*a**3*(a + 1)/5 Let i be (-48)/(-6) - (-2124)/(-270). Let t = 657 - 9851/15. Determine h, given that 2/5*h + i*h**2 + t = 0. -2, -1 Suppose -41*s = -59*s. Let p(h) be the third derivative of 0*h - 1/100*h**5 - 1/40*h**4 + 1/5*h**3 - 10*h**2 + s. Solve p(f) = 0 for f. -2, 1 Let u = -11 + 21. Suppose -u = -0*v - 2*v. Factor 2*a**2 + 2 - v*a**2 + 4*a + 5*a**2. 2*(a + 1)**2 Let d(t) = 5*t**3 + 140*t**2 - 625*t + 465. Let i(j) = -2*j**3 + j**2 + j + 3. Let y(q) = -d(q) - 5*i(q). What is k in y(k) = 0? 1, 4, 24 Let b(h) = 3*h**4 - 6*h**3 - 6*h**2 - 3*h + 3. Let q(l) = -6*l**4 + 10*l**3 + 11*l**2 + 5*l - 5. Let k(n) = -5*b(n) - 3*q(n). Suppose k(v) = 0. What is v? -1, 0, 1 Let v(p) = -118*p**4 - 143*p**3 + 649*p**2 - 299*p - 54. Let a(o) = 78*o**4 + 95*o**3 - 433*o**2 + 199*o + 36. Let q(y) = 7*a(y) + 5*v(y). Solve q(h) = 0 for h. -3, -3/22, 1 Suppose -k + 4 = 8. Let f be 10/k + 2 - 10/(-4). Let 2/11*u**f - 6/11*u + 4/11 = 0. What is u? 1, 2 Let l(i) be the second derivative of 0 - 1/32*i**4 - 30*i - 1/48*i**3 + 0*i**2. Find y, given that l(y) = 0. -1/3, 0 Let h = -15757/2 + 7879. Determine d, given that d - h*d**2 + 3/2 = 0. -1, 3 Suppose -9*v = -14*v + 20. Let k be (6/(-4))/((-6)/8). Determine i so that 4*i**3 - 3*i**3 + 0*i**2 - i**v + 0*i**k = 0. 0, 1 Let u(m) = -9*m**4 + 36*m**3 + 192*m**2 + 21. Let l(c) = 2*c**4 - 9*c**3 - 46*c**2 - 5. Let r(v) = -21*l(v) - 5*u(v). Factor r(j). 3*j**2*(j + 1)*(j + 2) Let r(f) be the first derivative of -f**7/84 + f**5/20 - f**3/12 + 14*f - 13. Let n(j) be the first derivative of r(j). Factor n(d). -d*(d - 1)**2*(d + 1)**2/2 Factor 7*n**3 - 3*n**3 + 12*n**2 - 34*n - n**3 + 19*n. 3*n*(n - 1)*(n + 5) Let n(x) = 55*x**4 - 185*x**3 + 169*x**2 - 57*x + 18. Let g(p) = -p**4 - p**3 + p + 1. Let f(s) = -18*g(s) + 2*n(s). Factor f(i). 2*(i - 1)**2*(8*i - 3)**2 Let z(i) = -3*i**2 - 2*i - 1. Let d(r) = -4*r**2 - 2*r - 1. Suppose 3*y - 4 = 2. Let w(h) = y*d(h) - 3*z(h). Factor w(t). (t + 1)**2 Let t(v) be the second derivative of -v**4/48 - 11*v**3/12 - 21*v**2/8 + 2*v - 2. Solve t(k) = 0 for k. -21, -1 Let o(m) be the first derivative of m**5/40 - m**4/32 - m**3/8 + 5*m**2/16 - m/4 + 35. Let o(l) = 0. Calculate l. -2, 1 Factor -3/2*p + 3/8*p**2 - 15/8. 3*(p - 5)*(p + 1)/8 Let b(a) be the second derivative of 0 - 1/60*a**4 + 41*a - 72/5*a**2 - 4/5*a**3. Determine s, given that b(s) = 0. -12 Let d(i) be the third derivative of -7*i**5/270 - i**4/2 + 16*i**3/27 + 481*i**2. Factor d(b). -2*(b + 8)*(7*b - 2)/9 Let d(r) be the second derivative of -2*r**7/21 - 2*r**6/15 + 6*r**5/5 - 2*r**4/3 - 10*r**3/3 + 6*r**2 + 105*r. Solve d(g) = 0 for g. -3, -1, 1 Let f = 26152/143 - 2010/11. Factor -f*p**2 - 4/13 - 6/13*p. -2*(p + 1)*(p + 2)/13 Let t = 81985/4 + -20656. Let y = -159 - t. Determine f, given that -y*f**2 - 1/4 + 1/4*f**3 + 3/4*f = 0. 1 Suppose 2446 = 7*m + 591. Let i = m - 1851/7. Factor -2/7*x + i + 2/7*x**3 - 4/7*x**2. 2*(x - 2)*(x - 1)*(x + 1)/7 Let j(k) be the first derivative of -k**3/6 - k**2 + 5*k/2 - 8. Factor j(s). -(s - 1)*(s + 5)/2 Let g(q) be the first derivative of 5*q**3/12 - 625*q**2/4 + 78125*q/4 + 325. Factor g(c). 5*(c - 125)**2/4 Suppose 5*b - s = 77, -4*s = -4*b - 2*s + 64. Suppose -7*r - b = -10*r. Solve -4/3*d**2 + 0*d + 2/3*d**3 - 2/3*d**r + 0 + 4/3*d**4 = 0 for d. -1, 0, 1, 2 Let l(u) be the second derivative of -u**4/12 + u**3/3 + 4*u**2 + 5*u. Determine x, given that l(x) = 0. -2, 4 Let u(f) be the first derivative of -f**4/50 + 28*f**3/75 - 24*f**2/25 - 560. Factor u(d). -2*d*(d - 12)*(d - 2)/25 Factor 0 + 2/9*g**3 - 8/3*g**2 + 0*g. 2*g**2*(g - 12)/9 Let d(a) be the third derivative of a**8/80640 - a**7/3360 + a**6/320 + 23*a**5/60 - 14*a**2. Let z(i) be the third derivative of d(i). Solve z(w) = 0 for w. 3 Let f(a) be the first derivative of 1/2*a**2 - 1/2*a**3 + 10 + 1/4*a**4 - 1/20*a**5 - 1/4*a. Factor f(k). -(k - 1)**4/4 Let n(i) = -2*i + i - 21 - 4*i + 20. Let r be n(-1). Factor -3*u**4 - 5*u + r*u + 11*u**4 - 15*u**3 + 16*u**5 - 8*u**2. u*(u - 1)*(u + 1)*(4*u + 1)**2 Let v(t) = -2*t - 37. Let s be v(-18). Let i(w) = w**2. Let r(y) = -6*y**2 + 10*y - 25. Let l(f) = s*r(f) - 5*i(f). Solve l(z) = 0 for z. 5 Let h = 32 - 14. Let c = -196/11 + h. Solve 0 - c*w - 12/11*w**2 - 18/11*w**3 = 0 for w. -1/3, 0 Factor 0 + 21/4*t**2 - t**3 + 0*t - 1/4*t**4. -t**2*(t - 3)*(t + 7)/4 Suppose -4*k + 12 = -8, -3*k = l - 15. Let t = l - -4. Factor -9*r**2 - r - 3*r**4 + 12 + 12*r**3 - 15*r + t*r. -3*(r - 2)**2*(r - 1)*(r + 1) Factor 284*c - 269*c - 9*c**2 - 12 + 3*c**4 - 3*c**3 + 6. 3*(c - 1)**3*(c + 2) Solve 225*t**4 + 14*t**3 - 124*t - 86*t**2 - 61*t + 191*t**3 - 20*t**5 - 199*t**2 + 60 = 0 for t. -1, 1/4, 1, 12 Suppose 18*x = 25*x. Let i(d) be the third derivative of 0 - 7*d**2 - 1/210*d**5 + 1/21*d**4 + x*d - 1/7*d**3. Suppose i(v) = 0. What is v? 1, 3 Let o(y) be the second derivative of 49*y**4/3 + 112*y**3 + 288*y**2 - y - 3. Find v, given that o(v) = 0. -12/7 Let s(c) = -10*c**2 - 1095*c - 50. Let d(k) = -k**2 - 137*k - 6. Let i(p) = -25*d(p) + 3*s(p). Solve i(f) = 0 for f. 0, 28 Let u(c) be the third derivative of -1/30*c**6 + 0*c**3 - 1/6*c**5 + 0*c + 0 + 12*c**2 - 1/6*c**4. Find d, given that u(d) = 0. -2, -1/2, 0 Let q be 58/18 - ((-329)/(-63) - 5). Suppose 3*n**3 - 2*n**3 - 4 + 22*n + 0 - 8*n**2 - 11*n**q = 0. Calculate n. -2, 1/5, 1 Solve -42 + 15/7*t**4 + 237/7*t**3 + 1107/7*t**2 + 177*t = 0. -7, -2, 1/5 Suppose -5*q = -15, -3*x - 4*q + 18 + 3 = 0. Let f(h) be the second derivative of -1/6*h**x - 2*h + 0 + 0*h**2 + 1/24*h**4. What is z in f(z) = 0? 0, 2 Supp
{ "pile_set_name": "DM Mathematics" }
ound -60.693796 to 2 dps. -60.69 Round 0.000015156564 to 7 decimal places. 0.0000152 What is -1630.94221 rounded to zero decimal places? -1631 What is -0.00018382818 rounded to 5 dps? -0.00018 What is -798.362038 rounded to the nearest ten? -800 What is 0.548826523 rounded to the nearest integer? 1 Round 61170808.84 to the nearest 1000. 61171000 What is 29244147.18 rounded to the nearest ten thousand? 29240000 What is -2734833 rounded to the nearest ten thousand? -2730000 Round 34593.703 to the nearest 1000. 35000 Round -297407.4857 to the nearest 10. -297410 Round -50753.66366 to 0 dps. -50754 Round 33087.2704 to 0 dps. 33087 Round -418.6642887 to the nearest 10. -420 Round 1057856580.5 to the nearest one million. 1058000000 Round -0.000000597780184 to seven dps. -0.0000006 Round 39.370738 to the nearest 10. 40 What is 0.816669749 rounded to four decimal places? 0.8167 Round -6917992440 to the nearest 1000000. -6918000000 Round 491.306955 to the nearest integer. 491 What is 197.89813 rounded to the nearest 10? 200 Round -6149.9958 to zero dps. -6150 Round -0.0000236333646 to six dps. -0.000024 Round -22173193.08 to the nearest one hundred thousand. -22200000 What is 0.00409323401 rounded to seven dps? 0.0040932 What is -0.00067638207 rounded to five dps? -0.00068 Round -0.0297256685 to five dps. -0.02973 What is 0.00257484618 rounded to four dps? 0.0026 What is -621338.481 rounded to the nearest one hundred thousand? -600000 What is -329.0705828 rounded to 1 dp? -329.1 What is -2349.4393 rounded to the nearest integer? -2349 What is -54470.6161 rounded to the nearest 100? -54500 What is -0.1962526518 rounded to three dps? -0.196 Round -90233.878 to the nearest 1000. -90000 What is 273470540 rounded to the nearest 10000? 273470000 What is 424.5440785 rounded to 1 dp? 424.5 Round 0.0005110451784 to 7 dps. 0.000511 What is -0.043318852 rounded to 5 decimal places? -0.04332 Round -0.2536497903 to 2 dps. -0.25 Round 7006.7023 to the nearest 1000. 7000 What is -12729.1273 rounded to the nearest integer? -12729 What is 697.466663 rounded to 0 decimal places? 697 What is -1052.94869 rounded to the nearest ten? -1050 What is 54737815 rounded to the nearest one hundred thousand? 54700000 What is 119148950 rounded to the nearest one hundred thousand? 119100000 What is -12266936567 rounded to the nearest one million? -12267000000 Round -0.00008263021 to seven dps. -0.0000826 Round -0.0055239529 to 3 decimal places. -0.006 Round -4.863937655 to three dps. -4.864 What is 1396.4757 rounded to the nearest integer? 1396 What is -0.0484261851 rounded to two dps? -0.05 Round 0.000083801122 to 5 decimal places. 0.00008 Round 11668.477 to the nearest 10. 11670 What is -0.000373095667 rounded to five decimal places? -0.00037 Round -0.037269952 to three decimal places. -0.037 Round 1941780.87 to the nearest 100000. 1900000 What is -0.090752756 rounded to 3 dps? -0.091 Round 1660872123 to the nearest one million. 1661000000 Round 205283340.3 to the nearest 100000. 205300000 Round -586667.11 to the nearest one hundred thousand. -600000 What is -0.0056947915 rounded to four dps? -0.0057 What is 654207.43 rounded to the nearest one hundred? 654200 Round 3218.62486 to one decimal place. 3218.6 What is -0.2767109092 rounded to 2 decimal places? -0.28 Round -90.55782 to zero dps. -91 What is -1032789.766 rounded to the nearest 1000000? -1000000 What is 1.71134428 rounded to three decimal places? 1.711 Round 179.09879 to the nearest integer. 179 Round 0.5489613263 to 5 decimal places. 0.54896 What is 9.6468098 rounded to 3 dps? 9.647 What is -0.002130561204 rounded to five dps? -0.00213 What is -15027.913256 rounded to the nearest one thousand? -15000 What is -52.5842281 rounded to the nearest ten? -50 What is 575.30666 rounded to 0 decimal places? 575 Round -0.0275788371 to five decimal places. -0.02758 What is -726528.87 rounded to the nearest 1000? -727000 What is 5033605.67 rounded to the nearest ten thousand? 5030000 What is -0.00012682684521 rounded to seven dps? -0.0001268 What is 26.5584616 rounded to one decimal place? 26.6 Round 1472.598589 to zero dps. 1473 Round -0.00000667483677 to 7 dps. -0.0000067 What is 899396.75 rounded to the nearest ten thousand? 900000 Round -8093.1563 to the nearest 100. -8100 Round 0.00410490918 to 7 decimal places. 0.0041049 Round -0.00125170922 to 7 decimal places. -0.0012517 Round 0.000099741753 to seven decimal places. 0.0000997 Round -1721778.33 to the nearest 100. -1721800 Round 0.985423676 to two decimal places. 0.99 Round -0.0073297036 to five dps. -0.00733 Round -6063.515 to the nearest ten. -6060 Round 0.1185834969 to six decimal places. 0.118583 Round 0.000126881016 to 6 decimal places. 0.000127 What is -0.0000042647661 rounded to 7 decimal places? -0.0000043 What is 17759473.39 rounded to the nearest one thousand? 17759000 What is -245333.5546 rounded to the nearest integer? -245334 Round 74082.47363 to the nearest ten thousand. 70000 What is 1161349157 rounded to the nearest one million? 1161000000 What is -0.03105018603 rounded to 6 decimal places? -0.03105 Round 138380.107 to the nearest 100. 138400 What is -1559041.75 rounded to the nearest ten thousand? -1560000 Round 0.0000580309075 to seven decimal places. 0.000058 What is -0.0607206325 rounded to two dps? -0.06 What is -0.46110129 rounded to 4 dps? -0.4611 Round 0.0000128517902 to seven decimal places. 0.0000129 What is 3.20983647 rounded to 3 decimal places? 3.21 What is -0.2172520083 rounded to four dps? -0.2173 Round 1645419.99 to the nearest 1000000. 2000000 Round -0.00000034919128 to seven decimal places. -0.0000003 What is -0.0122243432 rounded to three dps? -0.012 Round 0.0189389316 to 4 dps. 0.0189 Round 0.1306151 to three dps. 0.131 What is -2427510.269 rounded to the nearest 100? -2427500 Round 78810.28744 to the nearest 100. 78800 What is 0.069106651 rounded to 5 decimal places? 0.06911 Round 984816303 to the nearest one hundred thousand. 984800000 What is -415.770891 rounded to 1 decimal place? -415.8 Round -243491.136 to the nearest ten thousand. -240000 What is 301037420 rounded to the nearest 1000000? 301000000 Round -1199.9062 to the nearest ten. -1200 What is 0.2066200327 rounded to 3 dps? 0.207 Round -106612.6201 to the nearest 100. -106600 What is 451.5132179 rounded to 2 dps? 451.51 What is -282.365281 rounded to the nearest 10? -280 Round -0.00000047788079 to seven dps. -0.0000005 Round -2110783956 to the nearest one hundred thousand. -2110800000 Round -1080684.42 to the nearest one hundred thousand. -1100000 What is -0.32723898 rounded to 4 dps? -0.3272 What is -0.000119193291 rounded to six decimal places? -0.000119 What is -0.8737398327 rounded to 3 dps? -0.874 Round 0.000006539169987 to 7 decimal places. 0.0000065 What is -0.101218788 rounded to 3 decimal places? -0.101 Round -2.046561285 to the nearest integer. -2 What is -210852790 rounded to the nearest 1000000? -211000000 What is -137.86126706 rounded to 2 dps? -137.86 Round -3.0288060396 to four decimal places. -3.0288 What is -8.6198069 rounded to zero decimal places? -9 What is -0.1259695316 rounded to 2 dps? -0.13 What is -0.000014142432 rounded to six decimal places? -0.000014 Round 4704708660 to the nearest 100000. 4704700000 What is 121791203.39 rounded to the nearest ten thousand? 121790000 What is 0.00714207129 rounded to 6 dps? 0.007142 Round -1413.81002 to the nearest integer. -1414 What is -577943.838 rounded to the nearest one thousand? -578000 What is -0.190225959 rounded to two decimal places? -0.19 What is -0.0000001114488887 rounded to seven decimal places? -0.0000001 What is -0.000071255652 rounded to five decimal places? -0.00007 Round 41258391 to the nearest 100000. 41300000 What is 0.00000911239256 rounded to 7 dps? 0.0000091 What is -965.930658 rounded to the nearest ten? -970 Round 0.0000330212511 to six decimal places. 0.000033 What is -0.0001884652537 rounded to six decimal places? -0.000188 What is 31692.27 rounded to the nearest ten? 31690 What is -25933417.2 rounded to the nearest ten thousand? -25930000 What is 964465700 rounded to the nearest one hundred thousand? 964500000 Round -0.0000019974851394 to 7 dps. -0.000002 Round 7173.2117 to the nearest o
{ "pile_set_name": "DM Mathematics" }
0 = 4*q + 8, -2*f + 3*q + 51 - 3 = 0. Let g = 1468 - 951. Let m be g/77 + 2/7. Calculate the highest common divisor of f and m. 7 Let g(l) = l**2 + 8*l + 4. Let d be g(-7). Let i = 1 - d. Suppose 2*v + 4*h = -8, 4*v = -h - 0*h + 12. What is the greatest common divisor of v and i? 4 Let u = -6 - -7. Let x be (1 + -2)*-5 + u. Let h be 1/(-2) + 39/x. Calculate the highest common factor of h and 48. 6 Let h be 2/8 - (-2)/(-8). Suppose 5*b = 5*t - 186 - 114, b + 4*t = -40. Let j be (h - 1 - b)*1. Calculate the greatest common factor of 22 and j. 11 Let u(y) = -y**3 + 16*y**2 - 13*y - 5. Let p = 42 - 27. Let f be u(p). Calculate the greatest common factor of f and 5. 5 Let m = 9 - 4. Suppose -4*j + 5*g + 35 = 4*g, m*g - 5 = 0. Let l be (-8)/10*(-15)/2. Calculate the greatest common factor of j and l. 3 Suppose -2*p + 442 = 3*l + l, 0 = 5*l + 2*p - 554. What is the greatest common factor of l and 14? 14 Suppose -1 = -d, -4*d - 1 - 19 = -2*u. Calculate the highest common factor of 36 and u. 12 Let p be 4/(-18) + 94/18. Suppose 0*d + 180 = -5*d. Let z = 37 + d. Calculate the greatest common divisor of z and p. 1 Let y = 46 + -25. What is the highest common factor of 21 and y? 21 Suppose 5*b + 30 - 10 = 0. Let n(p) = p**3 + 5*p**2 + 2*p. Let g be n(b). Calculate the greatest common factor of 12 and g. 4 Suppose 0 = -r + 3*b - 26, -3*r - 3*b = 2*r + 40. Let a be (-14 - (-3 + 3))*r. Calculate the greatest common divisor of 14 and a. 14 Let g(h) = h - 6. Let c be g(8). Suppose -5*m - 4*t + 24 = 0, -c*t + 4 = 2*m - 6. What is the highest common divisor of 4 and m? 4 Let s = 0 + -3. Let r be (1 - 3) + (-18)/s. Let m be (4/(-6))/(r/(-30)). What is the greatest common factor of m and 45? 5 Let i = 9 + -1. Suppose v + v - i = 0. Suppose 0 = -v*o + n - 14 + 81, 0 = 5*n + 15. Calculate the highest common divisor of o and 2. 2 Let o be ((-901)/3)/((-4)/(-12)). Let a = -1338 - o. Let l = a + 712. Calculate the greatest common factor of l and 25. 25 Let z(f) = -f**2 - 4*f - 2. Let s be z(-3). Suppose 5*t - 19 = s. What is the greatest common factor of t and 2? 2 Suppose -3*y - 12 = 0, -y - 22 = -3*r + 2*r. Calculate the highest common divisor of 6 and r. 6 Suppose -3*a = -2*g - 22, 3*a + 3*g = 4*g + 26. Let m(i) = -i**2 + 30. Let s be m(0). What is the greatest common factor of s and a? 10 Let m = 66 - -4. Calculate the highest common divisor of 175 and m. 35 Let n = -3 + 42. Calculate the greatest common divisor of n and 78. 39 Let d = 545 - 369. Calculate the greatest common divisor of 22 and d. 22 Suppose 2*c - 11 = -7. Calculate the greatest common factor of c and 22. 2 Suppose -3*s + 67 = z, 3*s + 6*z - 3*z = 57. Calculate the greatest common factor of 36 and s. 12 Let v = 2 + 10. Let z be 2/7 + (-164)/(-14). Calculate the greatest common factor of z and v. 12 Let w = -107 - -116. What is the highest common factor of w and 12? 3 Let d(p) = 4*p - 2. Suppose 12 = t + 3*t. Let u be d(t). Suppose -3*h - 175 - 173 = -4*y, 372 = 4*y + 3*h. What is the greatest common divisor of y and u? 10 Suppose c = -6*u + 3*u + 75, -5*u = 3*c - 121. Let j be 2/5 + 376/10. Suppose j = 4*w - u. Calculate the greatest common divisor of w and 112. 16 Let w = -3 - 1. Let f be (3/1 + w)*-28. What is the greatest common divisor of f and 14? 14 Suppose -17*n + 21*n - 44 = 0. Let y = 31 + -20. What is the highest common divisor of y and n? 11 Suppose 0 = 2*y - 3*r - 12 - 18, -4*r = 0. What is the greatest common factor of y and 30? 15 Suppose 5*p - 107 = 18. What is the highest common divisor of p and 5? 5 Let g be (0 - -16)*(3 - 2). Let n = 51 - g. What is the greatest common factor of 7 and n? 7 Suppose 10 = -r - 3*w, 0*w + 15 = r - 2*w. Calculate the greatest common divisor of 1 and r. 1 Let o = 21 + 46. Let v = 101 - o. What is the greatest common divisor of 51 and v? 17 Let d(p) = 4*p**3 - 2*p**2 + 3*p + 4. Let i be d(3). Let y = i - 55. What is the greatest common factor of 16 and y? 16 Let g(a) = -a + 12. Let y be g(0). Let n be (-6)/((15/y)/(-5)). What is the highest common factor of n and 60? 12 Suppose s + u = 40, 0*u - 5*u = -4*s + 115. Let n = 29 + s. Suppose 4*x - 10*x + 48 = 0. Calculate the highest common factor of n and x. 8 Suppose -y = 3*y - 148. Suppose 4*s - 53 = -4*x - 17, 3*x - y = 2*s. Suppose -h - 121 = -2*h. Calculate the greatest common factor of h and x. 11 Let h(x) = 5*x + 3. Let r(s) = -9*s - 5. Let z(i) = -7*h(i) - 4*r(i). Let a be z(8). Suppose 6*f - 140 = f. What is the greatest common factor of a and f? 7 Let p = 42 + 57. What is the highest common factor of p and 9? 9 Suppose 4*q - 35 = -3*g + 2*g, -2*q - 4*g = 0. Calculate the greatest common divisor of 5 and q. 5 Let l(i) = -i**3 + 14*i**2 - 18*i - 22. Let q be l(10). Calculate the highest common factor of 36 and q. 18 Suppose 2*q - 13 = -3. Suppose -45 = -q*p + 10. What is the highest common factor of p and 99? 11 Let i = -7 - -28. Let k be (-6)/(-21) + (-47)/(-7). What is the highest common divisor of k and i? 7 Let w(z) = -z**3 - 2*z**2 + 3*z + 3. Let x be (-6 - -5)*(-2 - 0). Suppose x*b + 0 = -6. Let p be w(b). Calculate the highest common factor of 33 and p. 3 Let b be (-3094)/(-28) + (-2)/4. What is the greatest common factor of b and 10? 10 Suppose 9*t + 5*s - 118 = 6*t, 5*s = 25. Calculate the greatest common factor of 124 and t. 31 Let h(c) = -2*c + 3. Let w be h(-6). Let t be (-5 - -2 - -1) + 7. Calculate the highest common divisor of w and t. 5 Let g(i) = -i**3 + 8*i**2 + 7*i + 1. Let w be g(7). What is the highest common factor of w and 9? 9 Suppose 3*v + v - 2*g = 0, 4*g = -4*v. Let q = 42 + 2. Suppose 4*b - q = -v*b. Calculate the highest common divisor of b and 88. 11 Let o(h) = h**3 + 7*h**2 - 7*h + 1. Suppose -y - y = 14. Let k be o(y). Let a = -38 - -113. Calculate the greatest common factor of k and a. 25 Suppose 0*h = -3*h + 192. What is the highest common divisor of 16 and h? 16 Let u(r) = r**3 + 6*r**2 - 8*r - 7. Let b be u(-7). Let z(m) = m + 1 + b + 0 - 7*m. Let k be z(-1). Calculate the greatest common factor of 28 and k. 7 Let z = 16 - 24. Let q be (-62 + 0)*20/z. Let y = -47 + q. Calculate the highest common divisor of y and 12. 12 Let k = 327 + -618. Let z = -115 - k. Let u = -7 + 29. Calculate the highest common factor of u and z. 22 Suppose 5*r - 204 = 4*k, 2*k - 2 = -4. What is the highest common divisor of 60 and r? 20 Let i(y) = y**2 + 3*y - 3. Let c be i(3). Let t(s) = 3*s**2. Let b be t(-1). Calculate the highest common factor of c and b. 3 Let r(d) = d**3 + 6*d**2 - 2*d. Let s be r(-6). Calculate the highest common factor of s and 4. 4 Let f(x) = -x + 8. Let b be f(6). Let v be (b + -2 + -2)*-26. What is the greatest common divisor of 13 and v? 13 Suppose x = 4*m + 7, m + 16 = 4*x + x. Let y = m + 22. Calculate the greatest common divisor of y and 21. 21 Let q = 238 + -166. What is the highest common factor of 9 and q? 9 Let m be 251 + (6 - 4)/1. What is the highest common factor of 23 and m? 23 Let j be 8/12 + (-68)/(-6). What is the highest common factor of 4 and j? 4 Let h(i) = -i + 1. Let u be h(6). Let o be (u - 1)*8/(-24). What is the greatest common divisor of 14 and o? 2 Let d = -183 - -264. Let f(w) = 3*w**2 + 3*w + 3. Suppose -4*r = -3*r + 5, 3*s - 3*r - 9 = 0. Let x be f(s). Calculate the highest common divisor of d and x. 9 Let g be (-85)/(-4) - 4/16. Let r be (1 - -15) + (5 - 7). Let o = r + 0. Calculate the greatest common factor of g and o. 7 Let y be (-227)/4 + (-9)/36. Let u be 8/(-56) + y/(-7). What is the greatest common divisor of 64 and u? 8 Let b be ((-48)/14)/((-2)/14). Calculate the greatest common divisor of b and 8. 8 Let v = 101 + -80. What is the greatest common divisor of v and 3? 3 Let c be -259 + -3 + (1 - 0). Let g = c - -450. What is the highest common divisor of 21 and g? 21 Let z = -136 + 160. What is the highest common divisor of 84 and z? 12 Let b = -6 + 10. Suppose s - 2*s + 137 = 5*x, -b*x = -3*s - 121. Suppose 5*z = -4*f - 0*f - 8, -4*z = -4*f + x. What is the greatest common divisor of f and 6? 3 Let q be (0 - 1)/(6/(-60)). Let r = -33 + 76. Suppose -2*m - k + r = 2*m, 5*k = 2*m - 5. What is the highest common factor of m and q? 10 Let n be (-69)/(-15) - 9/15. Suppose 5 + 31 = n*x. Let r be 1/(-2)*-202 + -2. What is the hi
{ "pile_set_name": "DM Mathematics" }
08748 What is the difference between 25045594 and 27? 25045567 Total of 374710 and 1446. 376156 Work out -0.4 + -206853491. -206853491.4 3.7 - -2094715346 2094715349.7 What is the difference between 2 and 975718.1? 975716.1 Add 120629 and -11434. 109195 Calculate -489626 - 178. -489804 Add together -17603509 and 4. -17603505 What is 554461782 plus 0.5? 554461782.5 What is the difference between 1 and -18.7141256? 19.7141256 What is 0.282 less than 1.102217? 0.820217 What is 5 - 14.288671? -9.288671 Add 0.2 and -85479180. -85479179.8 What is -14859 take away -5.56? -14853.44 What is -0.161404 minus -1.3? 1.138596 Calculate -9.19 + -52.7004. -61.8904 Put together -5501.308 and 0.5. -5500.808 What is -26 + -2053362856? -2053362882 Work out 107686 - -9.76. 107695.76 -50447 - 0.565 -50447.565 Work out 46606 + -0.67. 46605.33 What is -39326955 less than 0.13? 39326955.13 Add together 0.140402477 and -13. -12.859597523 Calculate -1799.05655 - -5. -1794.05655 Add 142 and 14769149. 14769291 What is -0.2 take away 1690909.18? -1690909.38 Add 0 and 251.6602. 251.6602 Work out -10701 - -0.699. -10700.301 Calculate 97755 + 28. 97783 What is 1 take away 1014845.2? -1014844.2 Calculate -3171000 - 10. -3171010 What is -13 less than 293180418? 293180431 What is 78 plus 485908? 485986 Total of -130628678 and 6.2. -130628671.8 What is -331.05 take away -0.226946? -330.823054 7.42 + 334.4 341.82 Calculate -8.982454 + -524.9. -533.882454 6400607+0.5 6400607.5 What is 0.1 + 5456074080? 5456074080.1 Add together -25 and 2039616. 2039591 What is -627033 less than -388? 626645 What is the difference between 22021 and -352823? 374844 -387.05547+-0.8 -387.85547 What is -0.4 + -2249413000? -2249413000.4 Total of -0.24133022 and -113. -113.24133022 Subtract 390 from -1084.8. -1474.8 What is -0.2 less than 0.4045541701? 0.6045541701 What is -8 plus 389.69845? 381.69845 What is -89 + -283056339? -283056428 Add -580830.6 and 58. -580772.6 Calculate 37.04 - -1912512. 1912549.04 Work out -127.146 - 99.6. -226.746 What is 32653 + -129045? -96392 24.654 - -1881.61 1906.264 Calculate 1321.35 + -0.072. 1321.278 Work out 0 - 11718098. -11718098 What is -3 less than -3.332374068? -0.332374068 Subtract -0.9 from -5177414. -5177413.1 Work out 5740 + 9162. 14902 Subtract 226 from -139998604. -139998830 What is -0.2221 - -0.949355? 0.727255 Calculate -273935 - -12449. -261486 What is 6705.5 less than -0.0015? -6705.5015 1996 - 16692.1 -14696.1 Work out 3 - 68130185. -68130182 Calculate -2145 - 2030115. -2032260 What is -7.9 minus 155348? -155355.9 What is 3 take away -31.68845? 34.68845 Subtract 1 from -3873989. -3873990 What is -81407224 - -3? -81407221 Add together 10272455 and 246. 10272701 -915 + 3.611 -911.389 Calculate 82108 - -593. 82701 What is 0.104 minus 7.63472248? -7.53072248 What is -3.0881 minus -0.439? -2.6491 -3+204137699 204137696 What is 0.757979 + -0.2671? 0.490879 0.08675 + 206.35 206.43675 Subtract 0.20904 from 66687. 66686.79096 Work out -0.1 + -8463369. -8463369.1 What is -0.06361 plus 1030? 1029.93639 What is the difference between 85899 and 198? 85701 What is 2.4526 minus 158? -155.5474 What is 0.007 minus 681534? -681533.993 15749+3811 19560 -43741 + 158.7 -43582.3 What is -318511 - 25? -318536 Calculate 0.01 + -1122795278. -1122795277.99 Total of 0.2 and 8550.30516. 8550.50516 What is 2 - -1154616.4? 1154618.4 What is the distance between -69 and 466.158? 535.158 Work out 0.211 + -0.145. 0.066 What is -60 less than -1339917? -1339857 What is -12 - 201.5040924? -213.5040924 Total of 2676555 and -0.030333. 2676554.969667 -706580 + -2007 -708587 Subtract 87.0979014 from -5. -92.0979014 Put together -1539 and 0.54648889. -1538.45351111 What is the difference between -4.7 and -115081066? 115081061.3 Put together 13 and -21.907. -8.907 What is the difference between -1944 and 0.009099779? 1944.009099779 -4192200.5 - -0.069 -4192200.431 What is -174 - 147033? -147207 Add together 0.031 and 395914257. 395914257.031 23 + 57138 57161 What is the difference between 0.5 and 88740402? 88740401.5 Work out -237192513 - 4. -237192517 Calculate -0.2 + -18108408.15. -18108408.35 Calculate -836016.56 + 146. -835870.56 -158+129.105 -28.895 -0.1855915 - -20.3 20.1144085 What is the difference between 55162789083 and 3? 55162789080 Calculate -61101.2308 - 52. -61153.2308 Calculate 0.75 + 2.48572. 3.23572 Calculate -0.126576 + -2. -2.126576 Add together -243817 and 12.4106. -243804.5894 What is the difference between -11357325213 and -4? 11357325209 -486002 + -26379 -512381 Work out 2949413 - -0.14. 2949413.14 What is the distance between 87017.0707 and -0.05? 87017.1207 Work out 6334188347 - 0.4. 6334188346.6 Add together 6897.033 and 123. 7020.033 What is -346.259 take away 14.5? -360.759 -3894802.93 + -2 -3894804.93 What is 53528 - 0.168012? 53527.831988 Put together -4.5 and -1811390. -1811394.5 Work out 1988 + -420.72. 1567.28 Sum -3 and 172.9477. 169.9477 -101193530 - 1 -101193531 Add together -3 and -251362483. -251362486 What is -2 minus 2377114.7? -2377116.7 What is the distance between -20947408 and -0.2? 20947407.8 What is -12070814515 + -0.5? -12070814515.5 What is -0.04335 - -287381? 287380.95665 -187.82 - 907 -1094.82 Add 1.78 and -10.92918. -9.14918 Add together -1.112867402 and -1. -2.112867402 Put together -2.8 and -924.95. -927.75 -1864044.82436 + 0.2 -1864044.62436 Work out -795 + -202.474. -997.474 Work out -7 - 4.05023758. -11.05023758 What is -780307102 - 2? -780307104 What is 2.613 - -191922? 191924.613 What is -0.0390280111 less than -0.1? -0.0609719889 What is -144372.7 + -117.99? -144490.69 What is -0.024664113 - 0.8? -0.824664113 What is the difference between 49272540 and -9? 49272549 0.7+-109921753 -109921752.3 What is the distance between -541 and -282.39781? 258.60219 What is -699.4 + 786? 86.6 What is 1.2 less than -0.158264? -1.358264 Calculate 11 - -154051.353. 154062.353 Work out 1479727747 - -6.3. 1479727753.3 Calculate 0.1 + -175635612. -175635611.9 Work out -0.0145 - -2585.6956. 2585.6811 0.7283 - 0.0365645 0.6917355 Add together -565 and 24745. 24180 What is 1 - -0.03666394? 1.03666394 Sum -1056 and 4595. 3539 Put together 4 and -0.48407229. 3.51592771 What is the distance between -3839673461 and 0.2? 3839673461.2 What is 0.21 - -948128? 948128.21 Work out -2 - -0.0018518. -1.9981482 Work out -23179.304 + -60. -23239.304 What is 125 less than -1741.404? -1866.404 What is -264929 take away -1.28? -264927.72 What is 1.175 minus -2286? 2287.175 Work out 61 + -5958.8. -5897.8 Add 570.395 and 1.5. 571.895 Total of -1.025 and 268077. 268075.975 What is 306632 less than 2065? -304567 What is 4.39 minus 2.236443? 2.153557 Work out 1408469946 + 9. 1408469955 Add -8541829 and 3. -8541826 What is 15785 minus 27619? -11834 -95.92238199 + 4 -91.92238199 Work out 1116 - 0.14091. 1115.85909 67583+-1563 66020 Total of 0.11 and -89670925. -89670924.89 What is 95639.05 less than 0.24? -95638.81 What is 2090 plus 10899.15? 12989.15 Subtract 14541.439 from -1173. -15714.439 -274+0.060562 -273.939438 What is -0.10141565112 less than 0.2? 0.30141565112 Work out 0.07769 + 4504. 4504.07769 What is 0.18 - 4973.64092? -4973.46092 What is the difference between 4199515 and -0.8? 4199515.8 Total of -0.6344 and -14335. -14335.6344 What is 0.3607 - -182.66? 183.0207 Sum -416.2 and 33627. 33210.8 -0.066 - -2162366 2162365.934 Add 2.86 and 0.0783116. 2.9383116 What is 0.3 - -2625.525? 2625.825 Calculate -38741956 - -3. -38741953 Work out -8124 + 25487. 17363 Subtract -4.89 from -79538342. -79538337.11 Add 0.0137964 and -1. -0.9862036 Put together -966028914 and 34. -966028880 224182451+-0.09 224182450.91 Add together 5.8196 and -12. -6.1804 What is 152278 - 5513? 146765 What is -102246 - -3.385? -102242.615 Work out 0.9 + 0.016378913. 0.916378913 Work out 3.2495 - -0.559. 3.8085 -12.87 + -0.423649 -13.293649 -4139214807+6 -4139214801 Subtract 0.074 from 1655.58. 1655.506 Calculate -2 - 78665.9. -78667.9 1763.9+-1.82 1762.08 -14 - 0.07386092 -14.07386092 Subtract -5 from -11278. -11273 What is 382 less than -3511.2? -3893.2 What is -0.024232688 less than -1.4? -1.375767312 Calculate 12 - -4985.6. 4997.6 What is the distance between -744966970 and 0.23? 744966970.23 Add to
{ "pile_set_name": "DM Mathematics" }
2 + 24*z**3 - z**2 + 3*z**4 + 20*z in the form y*z**4 + d*z**2 + s*z**3 + r*z + t and give t. -2 Rearrange -1 + 65*s**2 + 272*s + 1 - 540*s + 265*s to the form z*s + j + o*s**2 and give o. 65 Rearrange 15 - 22 + 12 - 112 - 26 - 2*m to the form z + a*m and give z. -133 Express 9 + 4*g**2 + 6*g - 18 + 10 - g**3 - 3*g in the form k*g + f*g**3 + r*g**2 + t and give r. 4 Rearrange 2*u**4 + 89*u**2 - 267*u**2 + 3 + 22*u**3 - 7 + 86*u**2 - 2*u + 90*u**2 to s + h*u + m*u**2 + b*u**4 + a*u**3 and give a. 22 Express (2 - 1 - 3)*(-4 + 4*p + 4)*(43*p**3 + 44*p**3 - 8*p**3) as l*p**2 + g*p**4 + a*p + m*p**3 + o and give g. -632 Express 4 - 29*r - 26*r**3 - 2 + 24*r**3 - 6 as t*r**2 + s + v*r + p*r**3 and give s. -4 Express (2 - 2 + 2)*(65*t - 79*t + 53*t) as l + q*t and give q. 78 Express 4*o**2 - 25*o**2 + 13*o**2 + (3*o - 4*o + 2*o)*(2*o + 2*o - 5*o) as y*o + u*o**2 + n and give u. -9 Express 1 + 9*d - 3*d + 6*d - 3*d**2 in the form v + f*d**2 + t*d and give t. 12 Rearrange (-2 - 3 + 1 + (4 - 5 - 1)*(-1 + 1 + 2))*(-2 - h + 2)*(7 + 0 - 2) to the form n + q*h and give q. 40 Express -151*v - 102*v + 52*v - 14*v as i*v + q and give i. -215 Rearrange -5851 - 42*q - 51*q + 5851 to the form m + k*q and give k. -93 Rearrange -53 + 180 - 66 - 1805*l - 61 to v*l + b and give v. -1805 Rearrange (272*w**3 - 207*w**3 - 2 + 257*w**3)*(1 + 3 - 5) to i + s*w**3 + f*w**2 + o*w and give s. -322 Express (-2*k**3 + 5*k**3 + k**3)*(-3*k - k - 3*k) - k**3 - 29*k**2 + 3*k**4 + 0 + 28*k**2 + 1 in the form q*k**2 + s*k + y*k**3 + j + u*k**4 and give q. -1 Rearrange 4*p**2 + 404*p**4 - 409*p**4 - 3*p**2 + 2*p**3 - 8 to the form o*p**3 + r*p + g*p**4 + j*p**2 + y and give o. 2 Rearrange (-4 + 4*r + 4)*(-2 - 2 + 2 + (-4 + 4 + 1)*(-3 + 6 - 2) - 5 + 5 + 6 - 1 + 1 - 1) to o + w*r and give w. 16 Express (0 + 0 - 2 + 0 - 27 + 1 + (-3 + 2 - 1)*(-1 - 2 + 4))*(0*h - 3*h - h) in the form x + p*h and give p. 120 Express 44 + 13 - 57 + 68*c as w*c + y and give w. 68 Rearrange 32*k - 79*k - 21*k - 80*k to the form n + v*k and give v. -148 Express -29444*k**3 + 5 + 29442*k**3 - 4*k - 21 as l*k + i + j*k**3 + u*k**2 and give j. -2 Rearrange (1 - 3*t - 1)*(-4 + 2 + 3)*(1 + 14 - 7 + 23) to v + g*t and give g. -93 Rearrange (-4 + 6 + 0)*(4 + 1 - 3)*(1 - 4*u - 1)*(-2350*u + 13*u**2 - 2*u**3 + 2350*u) to the form h*u**3 + m + i*u + x*u**4 + l*u**2 and give x. 32 Rearrange (-6*t + 4*t + 6*t + (2*t + 0*t - 4*t)*(2 + 2 - 6) - 50*t + 17*t + 28*t)*(2*t - 3*t + 3*t)*(8 + 1 - 2) to u + v*t + n*t**2 and give n. 42 Rearrange -3112*a - 6 - 48*a + 6 + 512*a to y + v*a and give v. -2648 Express 291 + 7*m - 291 - 7*m**2 as b*m**2 + s + k*m and give k. 7 Rearrange -34*k + 33*k - 61 + 6 + 3*k**2 to a*k + b*k**2 + d and give a. -1 Rearrange (5 + 11*l + 9*l - 7)*(7 - l - 7 + 1) to the form h + v*l + b*l**2 and give h. -2 Express (47 - 22 - 10)*(2*a - 3*a - 17*a) as b*a + n and give b. -270 Rearrange -52 + 12 + 19 + 10 + 5*d**2 to the form j*d**2 + f + p*d and give p. 0 Rearrange (5 - 4 - 2)*(2*y - 13*y + 2*y) + 3 + 5 + 3 + y to the form a*y + m and give m. 11 Rearrange -20*m**2 - 24*m**2 - 22*m**2 + 1 + 68*m**2 + 41*m to h*m**2 + o + d*m and give h. 2 Rearrange (4 + 2 - 2)*(-16*u - 18*u + 22*u) + 3*u + 0*u - 1 + 4 to the form d*u + y and give y. 3 Rearrange -4 + 2*v**3 + 121*v**2 - 258*v**2 + 37*v + 138*v**2 to the form t*v + g*v**3 + p + f*v**2 and give f. 1 Rearrange -140109*m + 2*m**3 + 140104*m - 9*m**2 - 5*m**3 to the form u*m**2 + i*m + o*m**3 + y and give i. -5 Express -296*f**2 + 1070*f**2 - 9 - 4 + 13 as u*f**2 + p*f + r and give u. 774 Express (42*g - 33*g - 37*g + 2*g - 3*g + 4*g + (-3 + 1 + 0)*(-g + 3*g - g))*(g - 3 + 4 - 1) in the form x*g**2 + m + k*g and give x. -27 Rearrange z**2 - 22*z**2 - 23*z**2 - 100*z**2 to u*z**2 + o*z + k and give u. -144 Rearrange -348*b**2 + 284*b**2 - 464*b**2 - 66*b**2 to the form f*b**2 + j*b + y and give f. -594 Rearrange (2 + 3*c - 2 + (-1 + 1 + 1)*(5*c + 0*c - 3*c))*(18*c - c - 8*c) to o*c + a*c**2 + y and give a. 45 Express 69*j + 68*j - 7*j**3 + 4 + 2*j**2 + 69*j - 206*j as o*j**3 + c + f*j + g*j**2 and give g. 2 Express (1 - 3 + 6 + i)*(70*i - 70*i - 2*i**3) in the form v*i**2 + q + m*i**3 + u*i + f*i**4 and give m. -8 Rearrange 0*t - 3*t + 11*t + 4*t + 0*t + t + (-2 + 2 - 1)*(t - t + 2*t) - 2*t + 6*t + 4*t to the form i*t + s and give i. 19 Express -46*s**3 + 20*s**3 - 46*s**3 + (3*s + s - 3*s)*(s**2 + 2*s**2 - 2*s**2) in the form k + v*s**2 + l*s**3 + p*s and give l. -71 Rearrange (6*m + 6*m - 15*m)*(4 - 3 + 5)*(-2 + 3 - 3) to h + u*m and give u. 36 Rearrange 94*v - 18*v + 51*v + 84*v to k*v + d and give k. 211 Express (5*r - 2*r - 4*r)*(1 + 4 + 1)*(2*r - 3*r + 3*r)*(3*r - 4*r - 6*r) in the form v*r**3 + c + i*r**2 + a*r and give v. 84 Rearrange 34 + y + 316*y**3 - 315*y**3 + 75 + y**2 + (-4*y**2 + 4*y**2 + y**2)*(2*y + 5 - 5) to c*y**2 + k*y + d + w*y**3 and give c. 1 Express (351*u + 428*u - 845*u)*(0*u**3 + u**3 + u**3) in the form r*u + p + k*u**3 + i*u**4 + x*u**2 and give i. -132 Express (1 - 3 + 7)*((-5 + 4 - 1)*(4*k - 2*k - 3*k) + 15 - 8*k - 15)*(2*k + 3*k - k)*(-3 + 4 - 3) as f + h*k + q*k**2 and give q. 240 Rearrange 248*g**3 + 126*g**3 + 109*g + 109*g - 215*g to the form d + i*g**2 + t*g + m*g**3 and give m. 374 Rearrange 46*l - 3 + 3 + 6 - 9 to the form x + u*l and give x. -3 Rearrange 2*f - 10 + 10 + (-4 - 2 + 4)*(-2 + 0 + 0)*(59*f + 233 - 233)*(-2 - 1 + 1) to x + d*f and give d. -470 Rearrange -293*c**2 + c**3 + 292*c**2 - 21*c - 2*c**4 + 0*c**4 - 2 + 0*c**4 to x*c**2 + z*c**4 + s + h*c + v*c**3 and give z. -2 Express 2*t**3 + 141*t**2 - 71*t**2 - 31*t - 70*t**2 in the form k + g*t**2 + f*t + n*t**3 and give f. -31 Rearrange -209*d + 124 - 124 + (0 - 2 + 3)*(-4 + 4 - 4*d) to the form y*d + q and give y. -213 Express 132*r**3 + 2*r**2 + 136*r**3 - 408*r**3 + 124*r**3 as c*r**3 + t + d*r + g*r**2 and give c. -16 Rearrange -221*r - 128 - 138 + 266 to h + y*r and give y. -221 Express (g - g - g)*(0 + 0 - 1)*(3 - 3 + g)*(-37*g + 19*g - 29*g) in the form h*g + x + l*g**2 + f*g**3 and give f. -47 Express l + 2*l**4 - l - 2*l - 7 + 0*l**4 + 4*l**2 in the form t*l**3 + r*l**4 + x + m*l**2 + h*l and give h. -2 Express 224324*j - 298*j**2 - 224324*j + (0 + 0 + 2*j)*(j + 3*j - 2*j) in the form c + m*j + i*j**2 and give i. -294 Express -2*r**2 + 2 - 1 - 4*r**2 + 1 - 3*r**2 - 1 + (2*r - 5*r + 2*r)*(1 - 1 - r) - r**2 + 6*r**2 - 4*r**2 in the form y + p*r**2 + m*r and give m. 0 Rearrange 1 - 1 - 4*v - 7*v + 7 to s*v + u and give u. 7 Express 67 - 298*j - 29 - 37 - 283*j + 210*j as i*j + b and give i. -371 Rearrange (47*n**2 - 27*n**2 - 47*n**2)*(-n - 4 + 4) + 8*n**3 + 2 - 2 to u*n + g*n**3 + c + x*n**2 and give g. 35 Rearrange 3*u**2 + 2*u**2 - 3*u**2 + (-1 - 35*u - 47*u + 16*u)*(-3*u + 7*u - 2*u) to y + d*u + w*u**2 and give d. -2 Express 2*l**2 + 3*l - 3*l + (0 + 4 - 5)*(3*l - 3*l - 3*l**2) - 5*l - 7*l**2 + 5*l + (l + l - 3*l)*(-1 + 2*l + 1) in the form u + i*l + h*l**2 and give h. -4 Rearrange (-2*b**3 + 0*b**3 + 3*b**3)*(61*b - 114*b - 90*b) - 4 + b**4 + 4 to p*b + d*b**2 + j*b**3 + v*b**4 + t and give v. -142 Express -46*f**2 - 32 - 26 + 56 - 20*f**2 + 2*f - 11*f**2 as v + x*f**2 + w*f and give w. 2 Rearrange (4 - 16 - 3)*(1 + f - 1)*(1 - 1 + 1)*(f - 2*f**2 - f) to the form y*f + s*f**3 + b + m*f**2 and give s. 30 Express 492*i + 6*i**3 + 2*i**4 + 623*i - 1262*i as q*i**2 + g*i + x*i**3 + a + r*i**4 and give g. -147 Express -2 + 22575*b**2 - 22577*b**2 + b - 14*b**3 + 98*b**3 in the form y*b**3 + n + d*b + a*b**2 and give d. 1 Express (1 - 7 - 5)*(30 - 24 - 22)*(0*r - r**2 + 0*r) as p + n*r**2 + u*r and give p. 0 Rearrange ((-58 + 12*q + 58)*(0 + 6 + 9) + 2*q + 5*q + 2*q)*(2*q + q - q) to m*q**2 + j + b*q and give m. 378 Express -2*c**2 + 3*c**2 + 2*c**2 + (3*c**2 - 3*c**2 - 4*c**2)*(-7 - 24 - 35) as k*c + p*c**2 + b and give p. 267 Rearrange -26*x**2 - 18*x**2 + 88*x**2 - 2*x to the form u*x**2 + j + g*x and give u. 44 Rearrange 64*m**2 - 4 + 3 - 10*m**3 - 63*m**2 + 3 to i + n*m**2 + p*m**3 + c*m and give n. 1 Rearrange (58*r**2 - 62*r + 62*r)*(r**2 - 2*r**2 - r**2) to the form w + n*r + j*r**3 + i*r**4 + d*r**2 and give d. 0 Express -6*c + 5*c - 61 + 5*c - c in the form x*c + v and give x. 3 Express 224 - 2*s**2 - s**3 - 109 - 109 as k + h*s + c*s**2 + g
{ "pile_set_name": "DM Mathematics" }
83/16. Let f = 553 - 6629/12. Find the common denominator of r and f. 48 Let p = -8905/14 - -639. Find the common denominator of 119/12 and p. 84 Suppose -3*c + 6*c - 42 = 0. Suppose 3*s + 415 = -5*r + 8*s, 0 = 5*s - 25. Let q = -56 - r. Calculate the smallest common multiple of c and q. 154 Let x = 112 - 40. What is the common denominator of 113/12 and 1122/x + 2/8? 12 Suppose 4 = 5*l + 2*h - 0, 3*l = 5*h + 21. Suppose 0 = l*g + g - 33. Calculate the lowest common multiple of g and 7. 77 Suppose -q + 30 = 2*q. Let x(o) = o**2 - o - 34. What is the lowest common multiple of q and x(7)? 40 Suppose -2*w - 52 = -5*d, 3*d + w + 0*w = 29. Calculate the least common multiple of 5 and d. 10 Let a = 1/4458 - 3850598/2229. Let d = a + 8697/5. Let g = -8220/7 - -1177. Calculate the common denominator of g and d. 70 Let y = 162/5 - 659/10. Let s = -1238/5 - -9969/40. Find the common denominator of s and y. 8 Suppose -5*j + 0*b + 10 = -5*b, -26 = -5*j - 3*b. Suppose 0 = -k + 2*k - j. What is the least common multiple of k and 18? 36 Let b(g) = -g**3 - 4*g**2 + g. Let u be b(-3). What is the common denominator of 68/u - 0/(-2) and 65/6? 6 Let b(l) = -l + 4. Let g be b(3). Let a = 8 - g. What is the smallest common multiple of 2 and a? 14 Let h = 174563/21 - 8311. What is the common denominator of 43/21 and h? 21 Let h be 256/6 + (-1)/(-3). Let x = h - 25. What is the smallest common multiple of x and 6? 18 Suppose 0 = 3*l + 3*j + 9, 4*l - 10 = 5*j + 14. Let d = 1 + l. Calculate the smallest common multiple of 3 and d. 6 Suppose -4*t = 4*a, -3*t - 5*a + 4 = -0*a. Calculate the common denominator of ((-62)/(-6))/(48/18) and 2/t - (-54)/(-20). 40 Let t = 19198 + -1420629/74. Find the common denominator of -29/4 and t. 148 Suppose -20*m + 12 = -18*m. Calculate the lowest common multiple of m and 4. 12 Suppose 9*w = 6*w - 93. Let t = -2897718 + 17335079/6. Let f = t + 8514. What is the common denominator of w and f? 6 Suppose 15 = -4*n + 51. What is the lowest common multiple of 1 and n? 9 Let j = 1397/4 - 352. Calculate the common denominator of 77/20 and j. 20 Let d(s) = 6*s + 11. What is the common denominator of 11/10 and d(-10)? 10 Let i be 1/(-1) + (1 - -2). Suppose -5*l = -i*l + 12. Let u(v) = v**2 + 2*v + 4. What is the lowest common multiple of u(l) and 2? 12 Let b = -6 - -4. Let i = 0 - b. Calculate the smallest common multiple of 9 and 1 + -1*(i + -2). 9 Let p = -3893 - -1335. Let m = -56339/22 - p. Let c = -1911 - -3745/2. Find the common denominator of c and m. 22 Let n = -96329/16 - -6023. Let r = -13139/3 - -183667/42. What is the common denominator of n and r? 112 Let d = -23044/7241 - 11/1114. Find the common denominator of 2 - (-2 + (-46)/14) and d. 182 Let z be 19554/(-4)*8/(-6). Let b = z + -65107/10. Find the common denominator of -109/6 and b. 30 Let j = -17 - -8. Suppose 4*h - 51 = 29. Let f = h + j. What is the least common multiple of f and 7? 77 Suppose -50 = 4*i + 14. Let m be -1*1*(-558)/(-1). What is the common denominator of 28/5 and (-12)/(-18)*m/i? 20 Find the common denominator of -101/6 and ((3 - (-300)/(-8))/(-36))/(-1). 24 Let w be (1/34)/((-3)/4703). Let u = 1143800/27931 + -16/1643. Let i = w + u. Find the common denominator of i and 3/16. 48 Let r = -2412 - -24081/10. Calculate the common denominator of r and 765/60*(-20)/(-6). 10 Let g(t) = 2*t**3 - 14*t**2 + 11. Let s(z) = z**3 - 7*z**2 + 6. Let c(f) = -2*g(f) + 5*s(f). What is the lowest common multiple of c(7) and 10? 40 Let j(h) = h**3 - 12*h**2 + 13*h - 19. Let v = 20 - 13. What is the smallest common multiple of v and j(11)? 21 Suppose 0*c = -4*c - 12, -y + 3*c + 15 = 0. What is the least common multiple of y and 7? 42 Suppose 0 = 4*k - 16, 7*f - 2*f = -2*k - 92. Find the common denominator of 5/f - 411/(-12) and 23/10. 10 Let d(o) = 8*o + 1. Let x be d(3). Suppose -8*z = -3*z - x. Calculate the lowest common multiple of 20 and 18*z/((-30)/(-4)). 60 What is the least common multiple of ((-45)/6)/(9/(-36)) and 4? 60 Suppose 3*c - 1 = 14. Calculate the lowest common multiple of c and 4/60*5*21. 35 Suppose -5*y = 5*p + 15, 2*y = p + 1 + 8. What is the least common multiple of (-6)/4*(2 - 6) and y? 6 Let o(r) = 6*r**3 - 4*r + 1. Suppose 0*k - 6 = -2*k. Let y be o(k). Calculate the common denominator of 4/(-12) - y/(-12) and -25/8. 8 Calculate the common denominator of 61/10 and 3 - (17336/4240 - (-4)/(-10)). 530 Suppose -49 = 3*p + 41. What is the common denominator of p and -40/7? 7 Suppose 3*t - 4*g = 32, 0*g + 58 = 5*t - 2*g. What is the lowest common multiple of 2 and t? 12 Let s be (-20558)/6 + (-4)/(-8). Let d = s + 3445. Let l = -129/10 - 23/5. What is the common denominator of d and l? 6 Suppose 5*k = u - 4*u, 2*k - 31 = 5*u. Suppose -k*w + 2 + 34 = 0. What is the least common multiple of 2 and w? 12 What is the lowest common multiple of 22 and (2688/180 - (-4)/10)*3? 506 Let x = 37 - 61. Find the common denominator of 103/6 and (5/x)/((-10)/105). 48 Let x = -248311/20 - -12418. Find the common denominator of x and -1*3 + -1 + 14/196. 140 Let l = -758/161 - 24/161. Calculate the common denominator of -20/9 and l. 63 Suppose 5*w = -l + 62, -4*w + w + 2*l = -32. Calculate the least common multiple of w and 24. 24 Let u be (-138)/(-12) + (-3)/2. Calculate the least common multiple of 195/26*16/u and 3. 12 Calculate the smallest common multiple of -1 + 2 - (-4 - 3) and 2 - (-6 - 0/(-1)). 8 Suppose 4*t = 2*t + 72. Suppose 0 = 3*w - t - 0. What is the least common multiple of w and 2? 12 Let r = -1/880 + -7127/880. Find the common denominator of r and 57/26. 130 Let u = 336 + -2683/8. Find the common denominator of u and 340/32 - 0/(-3). 8 Let o(x) = -x - 4. Let j be o(-4). Suppose j = -3*d + 8 + 7. What is the smallest common multiple of 4 and d? 20 Suppose -4 = 2*n - n. Let b be (1/n)/(44/(-633296)). Let u = -3594 + b. Find the common denominator of u and 31/4. 44 Let w(u) = 4*u**3. Let q be (2/(-3))/((-8)/12). Suppose 5*a + 6*p - 2*p = 70, -3*a - 5*p = -55. Calculate the least common multiple of w(q) and a. 20 Let z(l) be the third derivative of -l**5/4 + l**4/8 - 2*l**3/3 + 3*l**2. Let o be z(4). Calculate the common denominator of -30 and ((-3)/32)/((-2)/o). 8 Let h(r) be the first derivative of 3*r**2 - 8*r + 1. What is the smallest common multiple of 8 and h(5)? 88 Calculate the common denominator of 5/9 and (36/5)/1 - 2. 45 Let h(p) = 2*p**2 + 3*p - 3. Let r = 2 - -7. Suppose -2*s + r = -s. Calculate the smallest common multiple of h(2) and s. 99 Suppose 1230 = 2*i + 4*q, 2*i + 2*q - 1237 = 5*q. Find the common denominator of 26/3 and 12/(-54) + i/(-18). 6 Suppose -3*v + 54 = -3*i, 0 = 5*i + 4*v - 6*v + 78. Find the common denominator of (4/i)/((-4)/62) and -73/3. 21 Let k = 772 + -8502/11. What is the common denominator of k and -103/6? 66 Let a be 0*((-1)/2)/1. Suppose a = -2*o + 19 - 7. Calculate the smallest common multiple of 6 and o. 6 Let p(c) = 13*c**3 - c**2 + 1. Suppose 3*l - 5*x = -3*x + 9, -4*l - 4*x = 8. Let d be p(l). Let s = d + -6. Calculate the smallest common multiple of 5 and s. 35 Let s = -673 + 478. Let p = -1401/5 - -7771/30. Calculate the common denominator of p and -22*(-2 + s/(-84)). 42 Suppose a = -3*a + 16. What is the lowest common multiple of a and 8? 8 Let i(s) = s**2 + 1. Calculate the smallest common multiple of i(-3) and 5. 10 Let n(o) = -o**2 + 13*o - 4. Calculate the lowest common multiple of 20 and n(10). 260 What is the least common multiple of (12/(9/(-3)) - -9)/1 and 1? 5 Let f(a) = -a - 1. Let n be f(-3). Let w = 270 - 232. What is the common denominator of w and 0/n - (-34)/8? 4 Suppose -6*y + 3*i = -4*y - 33, 20 = -4*i. Let m = -5 - -7. What is the smallest common multiple of m and y? 18 Let y be (7 - -2)/((-6)/4). Let r(j) = -j**2 - 10*j - 8. Let n = -6 - -8. Calculate the lowest common multiple of n and r(y). 16 Let z be -1 - (5/(-1))/(-1). Suppose 0 = -4*a + 5*l - 85, 0*l = -a + 4*l - 24. Let i = z - a. What is the smallest common multiple of 16 and i? 112 Let p = -11/645 + 60073/5160. Calculate the common denominator of p and -59/14. 56 What is the common denominator of -79/15 and 26/(-156)*(-296)/6? 45 Calculate the common denominator of 4/(-22) - 278/(-198) and -1/2. 18 Let o = -2433945 - -24371841/10. Let z
{ "pile_set_name": "DM Mathematics" }
193, -47? -1/3 What is the nearest to 1/3 in -236, 0.2, 0.3, -3/14, 1? 0.3 What is the nearest to 71629 in -3/16, -4/3, 0.2? 0.2 What is the nearest to -10 in -1, -0.5, -119396? -1 What is the closest to -44/5 in -10/3, -3, 90/151? -10/3 Which is the closest to -1.7? (a) -2 (b) -0.5 (c) 0.5 (d) 144 (e) -3/64 a What is the nearest to 2 in -10.8, -0.07, -3564? -0.07 What is the nearest to 0.3 in 1, -52, -3, 2, 3, -0.1621? -0.1621 What is the nearest to -248 in -4, -2/3, 2/7, -0.03, -29? -29 What is the closest to 3650 in 6, 12, 2/39? 12 What is the nearest to -3 in 2, -1, -1/3, -0.1, -296, -3? -3 What is the nearest to 2 in 5/2, 184075, 2.03? 2.03 Which is the nearest to -22? (a) 0.3 (b) -3/2 (c) -1/250 (d) -5 (e) -0.3 d What is the nearest to 1 in 2/5, -61, 4/595? 2/5 Which is the nearest to 2/43? (a) 3 (b) 0 (c) -3/50 (d) -3.14 b Which is the nearest to 1? (a) 112529 (b) -0.5 (c) 4 b Which is the nearest to 0? (a) -12/155 (b) 0.16 (c) -0.2 (d) 2 a What is the closest to -1 in 29, -0.08, 1/9, -1/125? -0.08 What is the closest to -4/91 in -1, -1/4, 0.4762, -0.04, 2/7, -1/2? -0.04 What is the closest to -0.4 in 1/14, 0.15, -2, -0.035, -2/13? -2/13 What is the nearest to 1/4 in -16.527, -2103, 4/5? 4/5 Which is the nearest to 0? (a) -247/7 (b) 4 (c) 1.182 (d) 0.3 d Which is the closest to -2/3? (a) -1/31 (b) 0 (c) 0.2 (d) -42/11 a Which is the closest to -556? (a) -2 (b) -3.7902 (c) 0.5 b What is the closest to 0.155 in 885/47, 2/17, -2? 2/17 Which is the nearest to -4/5? (a) 0.026 (b) 10 (c) 4 (d) -60 a What is the nearest to 150 in -0.02, 2, -18, -42? 2 What is the closest to 2 in 29, 34.82, -4/3? -4/3 Which is the nearest to 155/8? (a) -2.7 (b) 28 (c) 0.1 b What is the closest to -2/7 in -11/278, 1, -0.0393, 4? -11/278 What is the closest to -246.61 in -0.3, 5, -1/17? -0.3 What is the closest to 1/16 in 3, -12, 6, 5/4, -0.1? -0.1 What is the nearest to 1/2 in -269, 1/4, -1/2, -0.2? 1/4 Which is the nearest to -0.2? (a) -1439 (b) 10 (c) -3/5 (d) -186/13 (e) -3/7 e What is the closest to 0.6 in -5, 0, 1, -10259? 1 Which is the closest to 4/79? (a) 2 (b) 16 (c) -4 (d) -0.5 (e) -247 d What is the closest to 1543 in 0.4, 4, -1.1, 14? 14 Which is the closest to 12? (a) -0.05042 (b) 2/5 (c) 12 (d) 0.1 c What is the closest to -44/9 in 1/2076, -1/3, -12? -1/3 What is the closest to -0.3 in -41/7, -1/3, 1.06, -9, 3? -1/3 Which is the closest to -0.1? (a) 14 (b) -0.1 (c) 531/8 (d) 0.5 b Which is the nearest to 150365? (a) 0.2 (b) 4/7 (c) 3/7 (d) -0.4 b Which is the closest to -236115? (a) 0.03 (b) 0.3 (c) 0 c Which is the nearest to 3? (a) 1/7 (b) 0.2 (c) -0.05 (d) -11 (e) 31 b What is the nearest to -0.2 in -4, 7.316, 30, -7/5, 3/2, 0.1? 0.1 Which is the closest to -4/1513? (a) -4 (b) 2 (c) -2 (d) 104 c Which is the closest to -392? (a) -2/51 (b) -0.3 (c) 564 b What is the nearest to -512 in 1, -5, 0, 0.2, 4/263, 0.62? -5 Which is the nearest to -3? (a) 28 (b) -1/21 (c) 72 b Which is the nearest to 3? (a) 0.1 (b) 0.7 (c) 1/57 (d) 2 (e) -2.3 d What is the nearest to -2/7 in 0.1, -0.4, 936, 31? -0.4 What is the nearest to 0.1 in 91, 155/4, -10? -10 What is the closest to 1961/3 in -1/9, -0.9, 2/117? 2/117 Which is the nearest to -2/7? (a) -51 (b) -4 (c) 5 (d) 0.05 (e) 14 (f) -4/9 f Which is the closest to 1? (a) -171708 (b) -8.2 (c) 2 c What is the closest to 3.5 in 0.3, -5/7, -5, -3, 15? 0.3 Which is the nearest to 10? (a) -235 (b) 0 (c) 1/5 (d) -1774 c Which is the closest to 1/4? (a) -9 (b) -2/2839 (c) 5/4 (d) 2/15 (e) 0.5 d Which is the nearest to -1/9? (a) -4 (b) -9/4 (c) 2 (d) 710 c Which is the nearest to 2/5? (a) 0.4 (b) -5 (c) -8/3 (d) -2/11 (e) -3/188 a Which is the nearest to -14? (a) -1/374719 (b) 4 (c) -0.4 c Which is the nearest to 340? (a) 314 (b) -0.4 (c) -0.6 (d) 4 a Which is the nearest to 2? (a) 2 (b) -1 (c) -4 (d) -1141555 a Which is the nearest to 2/31? (a) -0.14 (b) -1.6 (c) 2/3 (d) 73 (e) -2 a What is the closest to 0 in 8, -17, -4, 1/2, -18/11? 1/2 What is the nearest to -1/65 in -2/27, 33, -189, -0.5, 1? -2/27 Which is the nearest to -2? (a) 0.06 (b) 1 (c) 0 (d) 4/5 (e) -4/263 e Which is the nearest to -1? (a) 39.5 (b) -4/3 (c) -1 c Which is the closest to 2/9? (a) 8 (b) -0.1 (c) 595072 b Which is the nearest to 1? (a) 0.1 (b) 1259 (c) -3 (d) 35 (e) -9/7 a What is the closest to 0.5 in -0.2, -2/1803, -8? -2/1803 Which is the closest to -1? (a) -0.0184 (b) 7.1 (c) 43 a Which is the closest to -3? (a) 2/21 (b) -1 (c) 4 (d) -4/2069 (e) -3 e What is the nearest to -2657 in -126, -0.5, 1, 0.1? -126 What is the nearest to 3 in -0.1, 0.1, -3.6, -1, 200? 0.1 Which is the nearest to -869? (a) 85 (b) 1/4 (c) 2/5 b What is the closest to 1 in 1262169/4, -5/4, -0.1, -4, -5, -0.2? -0.1 What is the closest to 0.1 in -2/15, 103, 0.04, 5391? 0.04 What is the closest to 12 in 12.644, 0.2, -1/7? 12.644 What is the closest to -3 in -281, -38, 42, -1/2? -1/2 What is the nearest to 0 in -16/3, 0.1, 0.089, -1.4, 5? 0.089 What is the nearest to -0.3 in -1/10, 13929, 2.4? -1/10 What is the nearest to 4968 in 0.2, 3, -5.6, -0.5? 3 Which is the nearest to 0? (a) 2/3 (b) -1618 (c) -6/11 (d) -46/3 c What is the nearest to -0.0643 in 3, 3/7, 5, 0.061? 0.061 What is the closest to 46/7 in 20, 3, 1/5, -9.4, -0.3? 3 What is the nearest to 0.04 in 0, 7.5, 0.04, 14, 0.1, 3/2? 0.04 What is the nearest to -5 in -0.0755, 6, 0.05? -0.0755 Which is the nearest to 8? (a) -4342 (b) -4 (c) -0.07 c What is the closest to 0.5 in 16, 5913, 0.11? 0.11 What is the nearest to -0.2 in -2, 0.16, 2252, -0.6? 0.16 What is the nearest to -103 in 2/7, 192, 0.17? 0.17 What is the closest to 45 in 2, -30, -1.1, 6, 0.4? 6 What is the nearest to -2 in -2.9, 28/11, 1018? -2.9 Which is the closest to -2/3? (a) 0.3 (b) 9/10 (c) 50/7 (d) -0.5 d Which is the closest to 2718.5? (a) 9 (b) 2 (c) 5 (d) -12 a What is the closest to -0.1 in -4424, 0.3, -164? 0.3 Which is the nearest to 0? (a) 1104 (b) -1/29 (c) -2/13 (d) 2 (e) 0.3 (f) -4/7 b What is the closest to 0.3 in 1/2, 0.2, -90, 55? 0.2 Which is the nearest to -271? (a) 2/7 (b) -2 (c) -644365 b Which is the nearest to 17? (a) -0.4 (b) -4 (c) 1/24 (d) 0.003 (e) -5 (f) -1 c What is the closest to -0.1 in 0.1, 2, 2.064, -0.2, 2/9, 9/53? -0.2 What is the nearest to 231 in -1, -118.1, 2/7? 2/7 Which is the closest to 6/13? (a) -2/99 (b) 4 (c) 630 (d) 2/5 d Which is the nearest to 10? (a) -0.0389 (b) -1/8 (c) -2.7 (d) -132 a What is the closest to 3.1 in 1, -150, 0.1, 3? 3 What is the closest to 0 in -1, -0.5, -23, 115.6, -1/6, 2/31? 2/31 Which is the nearest to -6? (a) 3 (b) -3/8 (c) -2/9 (d) -33018 (e) -0.4 (f) -3 f What is the closest to -2/7 in -15060, 0, 2, 4? 0 What is the closest to 50.547 in 1, 2, 0, 1/2, 4? 4 What is the closest to 19.2 in -4, 1, -1/3, -234, 1/3? 1 What is the nearest to 0 in 396, -0.21, 0.5, -1/7? -1/7 Which is the closest to 7? (a) 3/4 (b) 81873 (c) -2/15 (d) -4 a Which is the closest to 8908? (a) -5 (b) -2/3 (c) 1/5 (d) 4 d Which is the nearest to 0.6252? (a) 1.1 (b) 7 (c) 32 a Which is the closest to -1/3? (a) -1/3 (b) 3 (c) -0.07 (d) -230/7 (e) 1.2 (f) -2/181 a Which is the closest to -3.7? (a) -2/5 (b) -4 (c) 4 (d) 3/7 (e) 306.1 b What is the closest to -1/3 in 26, 16, -828/7, -0.5, 2/11? -0.5 What is the closest to -0.06 in -0.04, -4/3, 6/103, 16? -0.04 Which is the nearest to -2? (a) 10/33 (b) 0.345 (c) -13 a Which is the nearest to 28? (a) 1/23 (b) 5 (c) 0.3 b What is the nearest to -13 in 12, 0.972, -0.13? -0.13 What is the closest to -0.2 in -4.997, 2/9, 14? 2/9 What is the closest to 6/11 in 3/101, 203, -18/5? 3/101 Which is the nearest to -4/3? (a) 1 (b) -701.2 (c) 0.03 (d) -5 (e) -1 (f) 2/9 e Which is the nearest to 3/14? (a) 976/2145 (b) 1 (c) 2 a What is the closest to 2/3 in -0.344, -12, -3, -2/17, -1/4? -2/17 Which is the nearest to -35? (a) -2/7 (b) 0 (c) -7 (d) 4 (e) -10/3 (f) 2 c What is the closest to 0.07 in -1, -1.2922, 1, -1/4? -1/4 What is the closest to 9 in 0.5, 1.754, -8, -407? 1.754 Which is the closest to 979.78? (a) 0.2 (b) -0.8 (c) 0.4 c Which
{ "pile_set_name": "DM Mathematics" }
hat is the i'th term of -597164, -596584, -596004, -595424, -594844, -594264? 580*i - 597744 What is the w'th term of -926, -12, 900, 1810? -w**2 + 917*w - 1842 What is the u'th term of -14077, -14116, -14175, -14254, -14353? -10*u**2 - 9*u - 14058 What is the v'th term of 31745595, 63491187, 95236779, 126982371? 31745592*v + 3 What is the n'th term of 175558741, 175558743, 175558745, 175558747, 175558749? 2*n + 175558739 What is the m'th term of -454380, -1817095, -4088288, -7267959, -11356108? -454239*m**2 + 2*m - 143 What is the k'th term of 1332, 4213, 9020, 15753, 24412? 963*k**2 - 8*k + 377 What is the y'th term of 199918, 199915, 199926, 199951, 199990? 7*y**2 - 24*y + 199935 What is the h'th term of -62906, -128268, -193632, -258998, -324366, -389736? -h**2 - 65359*h + 2454 What is the d'th term of -438, -628, -384, 480, 2150, 4812, 8652, 13856? 31*d**3 + 31*d**2 - 500*d What is the l'th term of -213, 348, 1331, 2766, 4683, 7112, 10083? 5*l**3 + 181*l**2 - 17*l - 382 What is the d'th term of -66547, -67556, -69239, -71596? -337*d**2 + 2*d - 66212 What is the y'th term of 614, -346, -1328, -2332? -11*y**2 - 927*y + 1552 What is the w'th term of 28359, 28554, 28875, 29316, 29871, 30534? -w**3 + 69*w**2 - 5*w + 28296 What is the n'th term of 4398, 36062, 122074, 289608, 565838, 977938? 4529*n**3 - 39*n - 92 What is the p'th term of 9447, 10968, 12489, 14010, 15531? 1521*p + 7926 What is the d'th term of -1519, -6175, -14273, -26089, -41899, -61979, -86605? -46*d**3 - 1445*d**2 + d - 29 What is the p'th term of 3762, -2336, -12496, -26718, -45002? -2031*p**2 - 5*p + 5798 What is the u'th term of -2562, -2571, -2580? -9*u - 2553 What is the b'th term of -13550942, -13550944, -13550946, -13550948? -2*b - 13550940 What is the m'th term of -4967, -4705, -4499, -4343, -4231? m**3 - 34*m**2 + 357*m - 5291 What is the h'th term of 163481, 163531, 163619, 163751, 163933, 164171, 164471? h**3 + 13*h**2 + 4*h + 163463 What is the x'th term of 6692609, 6692706, 6692791, 6692858, 6692901, 6692914, 6692891? -x**3 + 104*x + 6692506 What is the k'th term of -43664469, -43664460, -43664447, -43664430, -43664409, -43664384? 2*k**2 + 3*k - 43664474 What is the s'th term of -283398073, -283398077, -283398083, -283398091? -s**2 - s - 283398071 What is the l'th term of 11217493, 11217507, 11217521? 14*l + 11217479 What is the q'th term of -61786, -62233, -62694, -63175, -63682, -64221, -64798? -q**3 - q**2 - 437*q - 61347 What is the c'th term of 600582, 597813, 590292, 575643, 551490? -396*c**3 + 3*c + 600975 What is the u'th term of -79, 1674, 6389, 15548, 30633, 53126? 247*u**3 - u**2 + 27*u - 352 What is the a'th term of -17914282, -17914283, -17914284, -17914285? -a - 17914281 What is the m'th term of -413, -833, -1185, -1469, -1685, -1833? 34*m**2 - 522*m + 75 What is the a'th term of 4950, 7269, 9584, 11895, 14202? -2*a**2 + 2325*a + 2627 What is the b'th term of 230833075, 461666149, 692499223, 923332297, 1154165371, 1384998445? 230833074*b + 1 What is the j'th term of 14762, 29877, 44974, 60047, 75090, 90097, 105062? -j**3 - 3*j**2 + 15131*j - 365 What is the h'th term of 6161, 24550, 55209, 98150, 153385, 220926, 300785? 2*h**3 + 6123*h**2 + 6*h + 30 What is the s'th term of -66610, -133190, -199770, -266350, -332930, -399510? -66580*s - 30 What is the y'th term of 28021, 27636, 27247, 26854, 26457, 26056, 25651? -2*y**2 - 379*y + 28402 What is the z'th term of 22948, 23290, 23634, 23980, 24328, 24678, 25030? z**2 + 339*z + 22608 What is the x'th term of 25974, 40180, 54392, 68610, 82834, 97064, 111300? 3*x**2 + 14197*x + 11774 What is the q'th term of -368518, -368648, -368782, -368920, -369062, -369208? -2*q**2 - 124*q - 368392 What is the x'th term of 23420, 47683, 71946, 96209, 120472, 144735? 24263*x - 843 What is the w'th term of 16704, 33633, 50562, 67491, 84420, 101349? 16929*w - 225 What is the t'th term of -246997, -247093, -247189, -247285, -247381? -96*t - 246901 What is the z'th term of 385764, 771389, 1157006, 1542615, 1928216, 2313809? -4*z**2 + 385637*z + 131 What is the s'th term of 371, 3246, 11115, 26474, 51819, 89646, 142451? 416*s**3 + s**2 - 40*s - 6 What is the v'th term of 38199919, 76399836, 114599749, 152799658? -2*v**2 + 38199923*v - 2 What is the k'th term of -55201, -111116, -167743, -225082, -283133, -341896? -356*k**2 - 54847*k + 2 What is the j'th term of 25837, 25815, 25789, 25759, 25725? -2*j**2 - 16*j + 25855 What is the h'th term of 36098080, 36098094, 36098108? 14*h + 36098066 What is the j'th term of 8142503, 8142546, 8142617, 8142716, 8142843? 14*j**2 + j + 8142488 What is the q'th term of 2808, 4300, 5792, 7284, 8776, 10268? 1492*q + 1316 What is the f'th term of -1809922, -7239677, -16289266, -28958689, -45247946, -65157037, -88685962? -1809917*f**2 - 4*f - 1 What is the v'th term of -8263901, -16527796, -24791685, -33055568, -41319445? 3*v**2 - 8263904*v What is the u'th term of 34812, 34659, 34506, 34353, 34200, 34047? -153*u + 34965 What is the q'th term of -228082, -912361, -2052834, -3649507, -5702386, -8211477, -11176786? -q**3 - 228091*q**2 + q + 9 What is the p'th term of -72107, -69134, -64167, -57200, -48227? p**3 + 991*p**2 - 7*p - 73092 What is the k'th term of 1340743, 1340751, 1340761, 1340773, 1340787? k**2 + 5*k + 1340737 What is the g'th term of 186918, 186923, 186928, 186933? 5*g + 186913 What is the v'th term of 7948, 18518, 31706, 47512, 65936, 86978, 110638? 1309*v**2 + 6643*v - 4 What is the x'th term of -101690, -203417, -305158, -406913, -508682, -610465, -712262? -7*x**2 - 101706*x + 23 What is the s'th term of 3034696, 3034713, 3034730, 3034747, 3034764? 17*s + 3034679 What is the x'th term of -379814, -379854, -379920, -380012? -13*x**2 - x - 379800 What is the p'th term of -391947, -392048, -392149? -101*p - 391846 What is the a'th term of 250844, 1003474, 2257858, 4013996? 250877*a**2 - a - 32 What is the y'th term of -33044, -33363, -33682, -34001? -319*y - 32725 What is the r'th term of -4972960, -4972951, -4972928, -4972885, -4972816, -4972715, -4972576? r**3 + r**2 - r - 4972961 What is the m'th term of -200, -1492, -2774, -4046, -5308, -6560? 5*m**2 - 1307*m + 1102 What is the d'th term of -6637, -12951, -19281, -25627, -31989? -8*d**2 - 6290*d - 339 What is the u'th term of -17679, -35852, -54649, -74382, -95363, -117904, -142317, -168914? -52*u**3 - 17809*u + 182 What is the y'th term of 6796181, 6796224, 6796297, 6796400, 6796533, 6796696? 15*y**2 - 2*y + 6796168 What is the t'th term of -3100967, -3100970, -3100973? -3*t - 3100964 What is the q'th term of -5962, -12047, -18394, -25135, -32402, -40327? -22*q**3 + q**2 - 5934*q - 7 What is the l'th term of 872034, 872043, 872052, 872061, 872070, 872079? 9*l + 872025 What is the h'th term of -3947, -3401, -2485, -1199, 457, 2483, 4879? 185*h**2 - 9*h - 4123 What is the s'th term of -6140, -8350, -10560, -12770, -14980, -17190? -2210*s - 3930 What is the l'th term of 1173609, 4694436, 10562481, 18777744, 29340225, 42249924? 1173609*l**2 What is the q'th term of 276, 1848, 4716, 8880, 14340, 21096? 648*q**2 - 372*q What is the f'th term of -17950, -36247, -54544, -72841, -91138? -18297*f + 347 What is the j'th term of -9674, -18989, -27942, -36527, -44738? j**3 + 175*j**2 - 9847*j - 3 What is the x'th term of 3568, 914, -1740, -4394, -7048, -9702? -2654*x + 6222 What is the d'th term of -389, -537, -909, -1619, -2781, -4509, -6917? -19*d**3 + 2*d**2 - 21*d - 351 What is the q'th term of 164900, 164859, 164818? -41*q + 164941 What is the c'th term of 216460, 432892, 649324, 865756, 1082188, 1298620? 216432*c + 28 What is the u'th term of -4870, -3455, -2044, -637, 766? -2*u**2 + 1421*u - 6289 What is the y'th term of 1339, 3007, 5057, 7681, 11071, 15419? 32*y**3 - y**2 + 1447*y - 139 What is the o'th term of 6001, 9943, 16513, 25711, 37537, 51991, 69073? 1314*o**2 + 4687 What is the a'th term of 284455, 284415, 284359, 284287, 284199, 284095? -8*a**2 - 16*a + 284479 What is the j'th term of -3591656, -3591660, -3591664, -3591668, -3591672, -3591676? -4*j - 3591652 What is the j'th term of -2132, -8528, -19134, -33944, -52952, -76152? j**3 - 2111*j**2 - 70*j + 48 What is the b'th term of 198297, 397241, 596185, 795129? 19894
{ "pile_set_name": "DM Mathematics" }
What are the prime factors of 340793? 340793 List the prime factors of 4835655. 3, 5, 11, 9769 What are the prime factors of 3320917? 191, 17387 List the prime factors of 120778. 2, 7, 8627 List the prime factors of 11992168. 2, 1049, 1429 List the prime factors of 6972. 2, 3, 7, 83 List the prime factors of 183787. 17, 19, 569 What are the prime factors of 6031269? 3, 107, 6263 What are the prime factors of 870566? 2, 435283 List the prime factors of 23182407. 3, 17, 277, 547 List the prime factors of 9668. 2, 2417 List the prime factors of 362369. 7, 51767 What are the prime factors of 11761384? 2, 1470173 List the prime factors of 22481758. 2, 13, 31, 27893 What are the prime factors of 12802855? 5, 13, 431, 457 What are the prime factors of 369420? 2, 3, 5, 47, 131 What are the prime factors of 1862371? 7, 266053 List the prime factors of 4917557. 4917557 What are the prime factors of 14366559? 3, 23, 59, 3529 List the prime factors of 412845. 3, 5, 17, 1619 List the prime factors of 27313003. 27313003 List the prime factors of 694045. 5, 11, 12619 List the prime factors of 713093. 31, 23003 List the prime factors of 10445202. 2, 3, 31, 18719 List the prime factors of 855738. 2, 3, 13, 23, 53 What are the prime factors of 26282? 2, 17, 773 List the prime factors of 45045. 3, 5, 7, 11, 13 What are the prime factors of 2692310? 2, 5, 269231 List the prime factors of 698011. 101, 6911 List the prime factors of 917892. 2, 3, 2833 What are the prime factors of 284393? 17, 16729 What are the prime factors of 11481553? 11481553 List the prime factors of 491750. 2, 5, 7, 281 List the prime factors of 453508. 2, 11, 937 What are the prime factors of 560450? 2, 5, 11, 1019 List the prime factors of 19710863. 19710863 List the prime factors of 2618361. 3, 59, 4931 What are the prime factors of 139667? 11, 12697 What are the prime factors of 516530? 2, 5, 7, 47, 157 List the prime factors of 230866. 2, 89, 1297 What are the prime factors of 1557751? 13, 119827 List the prime factors of 1414153. 13, 181, 601 What are the prime factors of 11691756? 2, 3, 29, 3733 List the prime factors of 8445120. 2, 3, 5, 19, 463 List the prime factors of 207209. 109, 1901 List the prime factors of 1029427. 7, 199, 739 List the prime factors of 558349. 11, 193, 263 What are the prime factors of 130691? 11, 109 What are the prime factors of 13721823? 3, 23, 151, 439 List the prime factors of 3523167. 3, 47, 8329 List the prime factors of 442185. 3, 5, 41, 719 List the prime factors of 236399. 236399 What are the prime factors of 1656311? 1656311 What are the prime factors of 1463292? 2, 3, 17, 797 List the prime factors of 24298196. 2, 13, 37, 73, 173 What are the prime factors of 8418123? 3, 7, 47, 2843 List the prime factors of 11159361. 3, 17, 72937 List the prime factors of 3338146. 2, 7, 238439 What are the prime factors of 17515282? 2, 23, 37, 41, 251 List the prime factors of 367139. 367139 What are the prime factors of 349516? 2, 59, 1481 List the prime factors of 10715308. 2, 227, 11801 List the prime factors of 121011. 3, 11, 19, 193 What are the prime factors of 245801? 23, 10687 What are the prime factors of 36577470? 2, 3, 5, 19, 64171 What are the prime factors of 3324910? 2, 5, 233, 1427 What are the prime factors of 174796? 2, 89, 491 List the prime factors of 2735294. 2, 1367647 What are the prime factors of 18460? 2, 5, 13, 71 What are the prime factors of 725096? 2, 233, 389 List the prime factors of 3744986. 2, 7, 31, 8629 List the prime factors of 13184033. 13184033 What are the prime factors of 2626413? 3, 31, 911 What are the prime factors of 2736688? 2, 171043 List the prime factors of 341902. 2, 11, 15541 List the prime factors of 659035. 5, 13, 10139 What are the prime factors of 12901854? 2, 3, 7, 307187 What are the prime factors of 432713? 432713 List the prime factors of 872387. 872387 What are the prime factors of 3225656? 2, 7, 57601 What are the prime factors of 160196? 2, 29, 1381 What are the prime factors of 10597574? 2, 13, 407599 What are the prime factors of 996889? 23, 89, 487 List the prime factors of 2301071. 19, 163, 743 What are the prime factors of 124909? 124909 What are the prime factors of 2512983? 3, 11, 271, 281 What are the prime factors of 16440981? 3, 5480327 List the prime factors of 13887601. 7, 13, 101, 1511 List the prime factors of 1697649. 3, 173, 3271 What are the prime factors of 6539634? 2, 3, 363313 What are the prime factors of 2983468? 2, 23, 32429 What are the prime factors of 266444? 2, 59, 1129 List the prime factors of 5150287. 59, 87293 What are the prime factors of 112481? 112481 List the prime factors of 1088805. 3, 5, 29, 2503 List the prime factors of 27548249. 2551, 10799 List the prime factors of 32432134. 2, 7, 89, 26029 What are the prime factors of 305025? 3, 5, 7, 83 List the prime factors of 392114. 2, 59, 3323 List the prime factors of 12183654. 2, 3, 7, 29, 1429 List the prime factors of 791011. 13, 71, 857 What are the prime factors of 5632203? 3, 1877401 List the prime factors of 2643090. 2, 3, 5, 19, 4637 List the prime factors of 16923109. 7, 17, 142211 List the prime factors of 10994670. 2, 3, 5, 43, 947 List the prime factors of 143491. 43, 47, 71 List the prime factors of 364250. 2, 5, 31, 47 List the prime factors of 196919. 196919 What are the prime factors of 1070235? 3, 5, 17, 1399 What are the prime factors of 350429? 350429 List the prime factors of 5758684. 2, 31, 46441 List the prime factors of 1250902. 2, 625451 List the prime factors of 387575. 5, 37, 419 What are the prime factors of 2102788? 2, 525697 What are the prime factors of 330442? 2, 7, 23603 List the prime factors of 1354244. 2, 19, 103, 173 What are the prime factors of 3669830? 2, 5, 366983 What are the prime factors of 6962491? 23, 103, 2939 What are the prime factors of 12211861? 31, 393931 What are the prime factors of 2652576? 2, 3, 27631 What are the prime factors of 341045? 5, 68209 List the prime factors of 18644782. 2, 13, 251, 2857 List the prime factors of 7327. 17, 431 What are the prime factors of 1016293? 199, 5107 What are the prime factors of 456910? 2, 5, 45691 What are the prime factors of 10733682? 2, 3, 61, 29327 What are the prime factors of 521936? 2, 32621 What are the prime factors of 603176? 2, 7, 10771 What are the prime factors of 74650? 2, 5, 1493 What are the prime factors of 178694? 2, 47, 1901 List the prime factors of 2428160. 2, 5, 7, 271 List the prime factors of 2827236. 2, 3, 17, 13859 What are the prime factors of 328739? 23, 14293 What are the prime factors of 7001277? 3, 2333759 List the prime factors of 20493. 3, 11, 23 List the prime factors of 109436. 2, 109, 251 What are the prime factors of 362805? 3, 5, 19, 67 List the prime factors of 3584412. 2, 3, 13, 23, 37 What are the prime factors of 10322487? 3, 7, 89, 263 What are the prime factors of 360570? 2, 3, 5, 7, 17, 101 What are the prime factors of 23801372? 2, 7, 850049 What are the prime factors of 73424? 2, 13, 353 List the prime factors of 2601295. 5, 223, 2333 List the prime factors of 319329. 3, 11827 What are the prime factors of 1259973? 3, 11, 13, 89 List the prime factors of 497783. 11, 13, 59 List the prime factors of 281292. 2, 3, 11, 2131 List the prime factors of 5960414. 2, 19, 101, 1553 List the prime factors of 70667. 70667 What are the prime factors of 3033974? 2, 1516987 What are the prime factors of 268844? 2, 67211 List the prime factors of 3800062. 2, 7, 71, 3823 What are the prime factors of 171290? 2, 5, 7, 2447 What are the prime factors of 1304908? 2, 11, 47, 631 List the prime factors of 290491. 19, 15289 List the prime factors of 210860. 2, 5, 13, 811 What are the prime factors of 270642? 2, 3, 43, 1049 List the prime factors of 2175250. 2, 5, 7, 11, 113 What are the prime factors of 373779? 3, 7, 17, 349 List the prime factors of 187668. 2, 3, 13, 401 List the prime factors of 116269. 116269 List the prime factors of 900346. 2, 67, 6719 What are the prime factors of 373414? 2, 186707 What are the prime factors of 1621533? 3, 540511 List the prime factors of 6194237. 7, 18059 What are the prime factors of 4414063? 37, 119299 What are the prime factors of 83526? 2, 3, 13921 List the
{ "pile_set_name": "DM Mathematics" }
s before 6:53 AM? 11:19 PM How many minutes are there between 12:33 PM and 6:04 PM? 331 How many minutes are there between 6:43 AM and 7:23 AM? 40 What is 386 minutes before 2:57 PM? 8:31 AM What is 186 minutes after 8:40 AM? 11:46 AM What is 661 minutes before 12:35 AM? 1:34 PM How many minutes are there between 3:23 AM and 4:22 AM? 59 What is 546 minutes after 1:43 AM? 10:49 AM How many minutes are there between 11:13 AM and 3:27 PM? 254 How many minutes are there between 8:24 AM and 8:10 PM? 706 How many minutes are there between 5:35 AM and 8:04 AM? 149 How many minutes are there between 2:18 AM and 12:04 PM? 586 What is 11 minutes before 9:03 AM? 8:52 AM How many minutes are there between 8:12 AM and 5:40 PM? 568 How many minutes are there between 9:01 PM and 11:47 PM? 166 What is 107 minutes after 5:01 PM? 6:48 PM What is 419 minutes after 12:33 PM? 7:32 PM How many minutes are there between 4:08 AM and 6:47 AM? 159 What is 678 minutes after 7:56 PM? 7:14 AM What is 386 minutes before 5:47 PM? 11:21 AM What is 217 minutes before 9:09 PM? 5:32 PM What is 88 minutes after 9:21 AM? 10:49 AM How many minutes are there between 4:37 PM and 3:23 AM? 646 How many minutes are there between 4:45 AM and 4:12 PM? 687 How many minutes are there between 9:21 PM and 10:58 PM? 97 What is 98 minutes after 1:47 PM? 3:25 PM How many minutes are there between 2:46 PM and 4:49 PM? 123 What is 703 minutes after 7:31 AM? 7:14 PM How many minutes are there between 4:43 AM and 7:17 AM? 154 What is 556 minutes after 4:00 AM? 1:16 PM How many minutes are there between 9:43 PM and 9:13 AM? 690 What is 539 minutes before 7:18 AM? 10:19 PM What is 647 minutes before 2:28 AM? 3:41 PM How many minutes are there between 8:29 AM and 1:21 PM? 292 What is 141 minutes before 10:34 PM? 8:13 PM What is 581 minutes after 6:42 PM? 4:23 AM What is 96 minutes before 8:54 AM? 7:18 AM What is 474 minutes before 7:18 AM? 11:24 PM What is 432 minutes before 8:12 PM? 1:00 PM What is 251 minutes after 7:41 PM? 11:52 PM What is 443 minutes after 5:53 AM? 1:16 PM What is 610 minutes after 9:02 PM? 7:12 AM What is 490 minutes after 10:17 AM? 6:27 PM How many minutes are there between 2:13 PM and 4:03 PM? 110 How many minutes are there between 10:31 PM and 9:36 AM? 665 How many minutes are there between 9:24 AM and 6:44 PM? 560 How many minutes are there between 10:33 PM and 4:14 AM? 341 What is 681 minutes before 1:46 AM? 2:25 PM How many minutes are there between 10:27 PM and 12:09 AM? 102 What is 127 minutes after 3:11 PM? 5:18 PM How many minutes are there between 3:05 AM and 12:49 PM? 584 What is 33 minutes after 4:50 PM? 5:23 PM What is 546 minutes before 4:56 AM? 7:50 PM What is 117 minutes after 5:08 AM? 7:05 AM What is 254 minutes after 7:19 AM? 11:33 AM What is 458 minutes after 7:05 AM? 2:43 PM What is 675 minutes after 4:19 PM? 3:34 AM How many minutes are there between 12:51 AM and 12:10 PM? 679 What is 60 minutes before 9:04 PM? 8:04 PM How many minutes are there between 5:29 AM and 9:55 AM? 266 What is 33 minutes before 5:10 AM? 4:37 AM How many minutes are there between 10:25 AM and 8:17 PM? 592 How many minutes are there between 3:52 AM and 10:23 AM? 391 How many minutes are there between 9:41 PM and 3:36 AM? 355 How many minutes are there between 4:38 AM and 8:51 AM? 253 What is 719 minutes after 11:53 PM? 11:52 AM How many minutes are there between 6:07 PM and 3:59 AM? 592 How many minutes are there between 11:21 PM and 2:11 AM? 170 What is 634 minutes before 4:54 PM? 6:20 AM What is 38 minutes before 1:23 AM? 12:45 AM What is 101 minutes after 2:21 PM? 4:02 PM How many minutes are there between 5:57 PM and 5:13 AM? 676 How many minutes are there between 7:25 PM and 9:15 PM? 110 What is 532 minutes before 1:45 AM? 4:53 PM What is 480 minutes before 3:26 AM? 7:26 PM How many minutes are there between 10:15 PM and 6:31 AM? 496 How many minutes are there between 12:56 AM and 11:32 AM? 636 What is 82 minutes after 12:18 AM? 1:40 AM What is 286 minutes after 8:52 AM? 1:38 PM What is 63 minutes before 5:22 PM? 4:19 PM How many minutes are there between 12:23 AM and 5:19 AM? 296 What is 538 minutes before 7:45 AM? 10:47 PM How many minutes are there between 12:28 AM and 5:23 AM? 295 What is 528 minutes before 10:50 AM? 2:02 AM What is 209 minutes after 6:59 PM? 10:28 PM How many minutes are there between 1:59 PM and 6:33 PM? 274 What is 195 minutes after 12:43 PM? 3:58 PM How many minutes are there between 2:02 AM and 12:54 PM? 652 What is 538 minutes after 8:31 AM? 5:29 PM How many minutes are there between 5:17 PM and 7:18 PM? 121 What is 153 minutes after 10:07 PM? 12:40 AM What is 175 minutes before 5:08 AM? 2:13 AM What is 295 minutes after 5:09 AM? 10:04 AM How many minutes are there between 4:05 AM and 7:00 AM? 175 What is 323 minutes before 3:58 PM? 10:35 AM What is 337 minutes after 3:19 AM? 8:56 AM How many minutes are there between 8:51 PM and 4:44 AM? 473 What is 342 minutes before 2:57 PM? 9:15 AM What is 56 minutes after 8:19 PM? 9:15 PM What is 97 minutes before 10:10 PM? 8:33 PM What is 355 minutes before 9:25 AM? 3:30 AM What is 710 minutes after 6:22 AM? 6:12 PM What is 470 minutes before 3:17 PM? 7:27 AM What is 524 minutes after 10:18 AM? 7:02 PM What is 559 minutes after 12:55 AM? 10:14 AM How many minutes are there between 9:08 AM and 12:45 PM? 217 What is 166 minutes after 7:04 AM? 9:50 AM What is 535 minutes before 4:30 AM? 7:35 PM How many minutes are there between 12:27 PM and 6:58 PM? 391 How many minutes are there between 9:06 AM and 7:49 PM? 643 How many minutes are there between 6:35 AM and 11:30 AM? 295 How many minutes are there between 11:47 AM and 7:12 PM? 445 What is 532 minutes after 9:24 PM? 6:16 AM How many minutes are there between 11:28 PM and 7:40 AM? 492 What is 104 minutes after 1:44 PM? 3:28 PM What is 616 minutes before 10:07 AM? 11:51 PM What is 570 minutes before 5:19 AM? 7:49 PM What is 669 minutes before 7:40 AM? 8:31 PM What is 322 minutes before 7:40 PM? 2:18 PM What is 454 minutes before 11:15 AM? 3:41 AM How many minutes are there between 5:13 PM and 4:34 AM? 681 How many minutes are there between 10:38 AM and 10:09 PM? 691 How many minutes are there between 8:51 PM and 12:20 AM? 209 How many minutes are there between 9:08 PM and 10:38 PM? 90 What is 491 minutes after 9:14 AM? 5:25 PM What is 572 minutes before 11:03 PM? 1:31 PM What is 589 minutes after 1:38 AM? 11:27 AM How many minutes are there between 6:11 AM and 4:31 PM? 620 How many minutes are there between 6:57 AM and 4:00 PM? 543 How many minutes are there between 8:45 PM and 2:57 AM? 372 How many minutes are there between 5:02 AM and 10:43 AM? 341 How many minutes are there between 4:01 PM and 1:58 AM? 597 What is 467 minutes after 2:57 AM? 10:44 AM How many minutes are there between 4:11 PM and 12:32 AM? 501 What is 303 minutes before 10:46 AM? 5:43 AM What is 596 minutes after 12:22 PM? 10:18 PM How many minutes are there between 2:44 PM and 1:36 AM? 652 How many minutes are there between 4:20 AM and 4:05 PM? 705 How many minutes are there between 3:01 PM and 12:39 AM? 578 How many minutes are there between 8:42 AM and 1:33 PM? 291 What is 663 minutes before 8:40 PM? 9:37 AM How many minutes are there between 6:50 AM and 10:45 AM? 235 How many minutes are there between 12:29 AM and 11:57 AM? 688 What is 423 minutes after 3:35 PM? 10:38 PM What is 443 minutes after 3:25 AM? 10:48 AM What is 470 minutes after 10:15 AM? 6:05 PM What is 556 minutes before 6:47 PM? 9:31 AM How many minutes are there between 6:49 PM and 7:45 PM? 56 What is 705 minutes after 11:58 PM? 11:43 AM How many minutes are there between 2:16 PM and 2:54 PM? 38 What is 292 minutes before 1:36 PM? 8:44 AM What is 520 minutes after 10:23 AM? 7:03 PM What is 260 minutes before 3:29 PM? 11:09 AM How many minutes are there between 11:54 AM and 7:40 PM? 466 What is 552 minutes before 4:17 PM? 7:05 AM What is 595 minutes before 7:06 AM? 9:11 PM How many minutes are there between 2:28 PM and 12:24 AM? 596 How many minutes are there between 12:46 AM and 8:47 AM? 481 How many minutes are there between 2:36 AM and 12:59 PM? 623 What is 414 minutes after 10:20 PM? 5:14 AM What is 502 minutes before 5:15
{ "pile_set_name": "DM Mathematics" }
sqrt(80)))**2 + (-6*sqrt(77)*1)/(sqrt(99)/(2*sqrt(9))))*-1. 249/64 + 12*sqrt(7) Simplify -2 + 2 + -2*((5*sqrt(95)*3)/((sqrt(20) - 4*sqrt(20))/sqrt(4)) + -3). 6 + 10*sqrt(19) Simplify ((sqrt(1573) - -4*(2 + sqrt(1573)))*-2*2*3 + 1)**2 + -3. 125400*sqrt(13) + 5671822 Simplify (((sqrt(300) - (sqrt(300) - 5*(sqrt(300) + 2))) + sqrt(300) + 4)**2 + ((sqrt(2100)*2)/(-1*sqrt(112)))**2)*1. 1680*sqrt(3) + 11071 Simplify (sqrt(576)*1*5)/(((sqrt(96)*-1 - sqrt(96))/sqrt(6) - sqrt(16))/sqrt(2))*-6. 60*sqrt(2) Simplify (sqrt(448)/(sqrt(8) + sqrt(8)*2) - (sqrt(56) - (sqrt(504)*1)/sqrt(9)))/((sqrt(3584)*2)/(sqrt(7) - sqrt(28)*4)). -7*sqrt(7)/48 Simplify ((-4*sqrt(1100)*4 - sqrt(1100)) + 3 + 3 + (sqrt(1100) - 3*sqrt(1100))*6 + sqrt(1100))**2. -3360*sqrt(11) + 862436 Simplify (-1*-1*sqrt(136) + (sqrt(136) - 2*sqrt(136) - sqrt(136))*-5)/(-4*sqrt(968)*-1) + -4. -4 + sqrt(17)/4 Simplify (((-6*sqrt(1701)*-2 - sqrt(1701))*6)/(6*(sqrt(33)/(sqrt(11)*2) + (sqrt(3) + sqrt(12)/sqrt(4))*-3)))**2. 2268 Simplify -1*((sqrt(12)/sqrt(3)*-4)/(sqrt(72)*-3 - sqrt(72)))**2*-4. 2/9 Simplify (-3*(2 + (sqrt(98) - (sqrt(98) + 0))) + -1 + 2 + -2*sqrt(98) + -4)**2*6. 1512*sqrt(2) + 2838 Simplify (sqrt(44) + -1*sqrt(44)*2 + (sqrt(352) + 3*sqrt(352))/sqrt(8) + sqrt(44))/(((sqrt(44) + sqrt(396))*2)/(-4*sqrt(22)/sqrt(2))). -2*sqrt(11) Simplify (((-4*1*sqrt(238) + sqrt(238))/((sqrt(252) - (sqrt(252)*-2 - sqrt(252))) + sqrt(252)))/((sqrt(18) - (-2*sqrt(162) + sqrt(18)))/(1*sqrt(9)*-2)))**2. 17/900 Simplify 3*((sqrt(50)*2)**2 + (1 + sqrt(200))**2 - 4*(sqrt(64)/sqrt(4))/sqrt(8)) + -3. 48*sqrt(2) + 1200 Simplify (sqrt(112) + -1)*5 + ((sqrt(28)*-1)**2 - (sqrt(84)/(sqrt(24)/sqrt(2)) - sqrt(7) - sqrt(7))) + (-4 + sqrt(567) + (4 + -2*sqrt(567) + sqrt(567))**2)*6. -357*sqrt(7) + 3497 Simplify 2 + ((((sqrt(931)*1 - sqrt(931)) + sqrt(931))*-6 - ((-1*sqrt(931) + sqrt(931))*2 + sqrt(931))) + -1 + sqrt(931)*1 + sqrt(931)*-2*5 + 4)**2. -672*sqrt(19) + 238347 Simplify (1*(sqrt(1700) + 2) + (0 + sqrt(1700))*4)**2 + (-2*sqrt(2057)*-2 - -3*(sqrt(2057) + sqrt(2057)*3)). 376*sqrt(17) + 42504 Simplify (-5*(sqrt(510)/(sqrt(90) - sqrt(90)*-2))/(sqrt(432)*5) + 4)**2 + -4. -2*sqrt(17)/27 + 139985/11664 Simplify (-1*sqrt(95)*1)/(1*sqrt(125)) + 1 + 5*sqrt(931) + -5. -4 + 174*sqrt(19)/5 Simplify (-3 + -3 + -2 + sqrt(72) + -1 + 1 + (sqrt(88)/(sqrt(11) - sqrt(99)) - ((sqrt(8)*1 - sqrt(8)) + -3)))**2. -50*sqrt(2) + 75 Simplify (sqrt(70)*-2*-4)/sqrt(10) - sqrt(49)/((-1*sqrt(70) - sqrt(70))/sqrt(10)) - (4 + -6*(6*2*sqrt(7) - (-2*sqrt(7) + -5)))**2. -50068 - 8719*sqrt(7)/2 Simplify (-2*(1 + 5 + (1 + sqrt(1539) - sqrt(1539)) + -4*(-1 + sqrt(1539)) + 0 + 0) + 2)**2. -2880*sqrt(19) + 98896 Simplify ((sqrt(30) - sqrt(30)*-2*2 - sqrt(120)*5)/(sqrt(18)/sqrt(3)*-4 + sqrt(384)*2)*-5)**2 + 0. 3125/144 Simplify (-2*((sqrt(77) - -1*sqrt(77)*1) + (5*(sqrt(77) + sqrt(77) + 2*sqrt(77)) - sqrt(77))))/((-2*sqrt(88)*2)/(sqrt(8) - (2*sqrt(56))/sqrt(7)))*6. -63*sqrt(7) Simplify -2 + -2 + sqrt(288) + sqrt(6)/(-3*sqrt(3)) - (0 + sqrt(2) + 3 + -1 + (-2*sqrt(98)*-2)**2). -1574 + 32*sqrt(2)/3 Simplify (6*((-1*sqrt(88)*-4 - sqrt(88)) + sqrt(88)))/((sqrt(8) - (sqrt(8) + -2*sqrt(392)))*-1) + -5 + -1. -6 - 12*sqrt(11)/7 Simplify (sqrt(13) - (sqrt(13) - (sqrt(13) - (sqrt(104)*-2)/sqrt(8)))) + -3 - (-1 + sqrt(1053)*-2) - ((sqrt(39) + sqrt(351))*-2)/(2*sqrt(243)). -2 + 193*sqrt(13)/9 Simplify (-1 + -1 + sqrt(17) + -3 + (sqrt(153) + sqrt(17))**2)*3 - (-2 + -1 + sqrt(833))**2*-1*6. -249*sqrt(17) + 5853 Simplify (sqrt(225)*1 - sqrt(9))/(sqrt(96)/sqrt(8)) - (sqrt(9)/(-3*sqrt(3)) + sqrt(3) - sqrt(3) - (sqrt(3) - (sqrt(3) + 1))*-5)**2. -76/3 - 4*sqrt(3)/3 Simplify 5 + -4*2*(sqrt(125) - (sqrt(125)*2)**2) + ((sqrt(360) - sqrt(40))/sqrt(8) - (sqrt(5)*3 + 4)). -41*sqrt(5) + 4001 Simplify (-1*1*sqrt(2106)*2)/(sqrt(2) + sqrt(98)*1 - sqrt(2) - (sqrt(2) + 2*sqrt(200))). 9*sqrt(13)/7 Simplify 6*(3*(sqrt(112) + 2)*2)**2 - (((sqrt(112) - (-1 + -1*sqrt(112) + sqrt(112))) + -3)**2 + 2). 3472*sqrt(7) + 24938 Simplify (1 + (0 + sqrt(80) + -1 - (-2 + (3 + sqrt(80) - sqrt(80))))*6 + 4)**2. -336*sqrt(5) + 2929 Simplify -1 + (sqrt(192)*4)**2 + (sqrt(15)*-3)/sqrt(5) + 3 + (sqrt(15)*-1)/sqrt(5) + -2. -4*sqrt(3) + 3072 Simplify (-5 + (0 + sqrt(68) + 2)*5*-2 + -1 + 3 + 4)**2. 760*sqrt(17) + 7161 Simplify ((-2 + 1*(4 + (sqrt(200) + -1 - sqrt(200)) + sqrt(200) + (sqrt(200) - (sqrt(200)*-1 + sqrt(200) + -4)))*-5)*6)**2. 266400*sqrt(2) + 769284 Simplify (-1*(((sqrt(320) - sqrt(320)*-2) + -2)*-2 + -5*(sqrt(320) + -1) + 2 + -1))**2. -1760*sqrt(5) + 38820 Simplify (3 + ((sqrt(1700) + sqrt(1700) + -1 + -5)**2 + -6*(sqrt(1700)*3 - sqrt(1700)) + sqrt(1700) - (-1 + (-5*sqrt(1700))**2 + sqrt(1700))*-2))*3. -990*sqrt(17) + 275511 Simplify (3*-4*(-1 + (-2 + sqrt(1539))*-2*-2))**2 + -4. -93312*sqrt(19) + 3557516 Simplify -1 + ((0 + sqrt(180) + 2)**2 - (3 + -1 + sqrt(180))) - ((sqrt(180) - 2*sqrt(180)*-1 - (sqrt(180) - (2*sqrt(180) + sqrt(180)) - sqrt(180))*1) + -1)**2. -6300 + 90*sqrt(5) Simplify (3*(-3*-4*sqrt(2880))/((sqrt(84)/(sqrt(3)*-5))/sqrt(7)))**2. 23328000 Simplify ((sqrt(65) - (sqrt(65) + sqrt(65) + (sqrt(65) + -2*sqrt(65))*5) - sqrt(65))*-2*-3)/(-3*(sqrt(120)/sqrt(2))/sqrt(12)*-5). 6*sqrt(13)/5 Simplify -3*(-3 + ((sqrt(343) + 1)**2 - (sqrt(7) - (sqrt(448))**2))) - 5*((sqrt(3969) + sqrt(3969)*-2 - sqrt(3969))/sqrt(7) + -5). -2342 + 51*sqrt(7) Simplify 1 + (-6*(1 + -1*sqrt(300)*5 + 1 + -4))**2. 7200*sqrt(3) + 270145 Simplify 1 + 3 + -2 + (sqrt(125) + 1 - sqrt(125)) + -1 + -1 + -2. -1 Simplify 6*(-1*(4 + sqrt(5) + sqrt(15)/sqrt(3)*5) - ((4 + sqrt(20))*5)**2*2). -10824 - 4836*sqrt(5) Simplify 2*5*((-2*sqrt(70)/sqrt(2))/(sqrt(5) + (sqrt(20) + 1*sqrt(20))/sqrt(4)) - (((sqrt(7) + -1 - sqrt(7)) + 5)**2 + 4)*5). -1000 - 20*sqrt(7)/3 Simplify (-3*(sqrt(22)/sqrt(2)*3*2 - (-2 + sqrt(539) + 5)) + 3)**2*-2. -486 - 144*sqrt(11) Simplify -2*(4 + -2*sqrt(171) + 2 + sqrt(171) + (sqrt(171) - (-2 + sqrt(171) + 1 + sqrt(171))) + 2)**2. -1530 + 216*sqrt(19) Simplify ((sqrt(112) + 0)*5 - (1 + sqrt(112)*-1))**2*3 - ((2*sqrt(112)*-2 + 4)*-3)**2. -4173 + 1008*sqrt(7) Simplify (sqrt(245)/sqrt(45))/(sqrt(63) + sqrt(1575) + sqrt(63)) - (sqrt(686)*2)/(1*sqrt(32) + sqrt(2)). -877*sqrt(7)/315 Simplify 2*((-5 + sqrt(612) + 1 + sqrt(612))*1)**2 - (4 + sqrt(1088) + 1 - 2*sqrt(1088)*3)**2. -22297 + 208*sqrt(17) Simplify (-6*-4*sqrt(1872) + (sqrt(1872) - (-3 + sqrt(1872))*-3))**2 - (-2*-1*sqrt(1872) + sqrt(1872))**2*-5*1. -6048*sqrt(13) + 1551969 Simplify (sqrt(176) + -2 + sqrt(176) + -4 - (sqrt(176) + 2)*1 - -1*(sqrt(176) + sqrt(176)*-3 + 4))*-6. 24 + 24*sqrt(11) Simplify (((sqrt(95)*2*5)/((sqrt(200)/sqrt(4))/sqrt(10)) - (-3*-2*sqrt(19)*-2 + 2))*2*-3)**2. -3168*sqrt(19) + 331200 Simplify -3*(3 + 2 + ((sqrt(475)*-5 - sqrt(475)) + -4)**2 + (1 + sqrt(475)*-4)**2 + -2). -74160 - 600*sqrt(19) Simplify (-5*((sqrt(128) + sqrt(128)*-5*-1 - sqrt(128)) + (sqrt(128) + -3)*-1)*6 + -1)**2 + 4. 174720*sqrt(2) + 1851485 Simplify (-2*((-1*sqrt(77) - sqrt(77)) + sqrt(77)) + (sqrt(77) - (sqrt(77) - 2*sqrt(77))*1))/((sqrt(99)*-1*3)/sqrt(9)). -4*sqrt(7)/3 Simplify ((sqrt(112) + -1 - sqrt(112))*3 + 2 + (sqrt(105)/sqrt(5)*2)/(1*sqrt(3)*-5))**2. 4*sqrt(7)/5 + 53/25 Simplify (-3 + ((2*sqrt(1053) - sqrt(1053))*-6 + sqrt(1053) - (-1 + sqrt(1053)*1 - sqrt(1053))) + 1 + 6*(-1 + (sqrt(1053) + -2)*-2))**2. -5202*sqrt(13) + 304606 Simplify (-1*sqrt(1408) - sqrt(550)*3)/(((-1*sqrt(99))/sqrt(9) - (sqrt(132)*1)/sqrt(12))*5). 23*sqrt(2)/10 Simplify ((3 + (sqrt(13) - sqrt(143)/(sqrt(88)/sqrt(8))) - sqrt(130)/((sqrt(280)/sqrt(7))/sqrt(4))) + -5)**2. 4*sqrt(13) + 17 Simplify ((-1*(sqrt(270) - sqrt(270)*3)*2)/(-6*sqrt(40)/sqrt(4)*1)*-1)**2. 12 Simplify (4*(sqrt(21)/(sqrt(3) + sqrt(3) + (sqrt(300) - (sqrt(300) + 2*sqrt(300))) + sqrt(300)) - -6*(1 + sqrt(700) - sqrt(700)))**2*-2 + -4)*-3. -36*sqrt(7) + 7029/8 Simplify 1*(5 + 6*(3*sqrt(1300) + sqrt(1300) + 0)**2*-6 + 4) + -3. -748794 Simplify ((1 + sqrt(288))*1 + sqrt(288) + -4 + sqrt(288)*-3 - (1*sqrt(18) + (sqrt(2) + -5*sqrt(2)*1 - sqrt(2)) - 3*sqrt(16)/(sqrt(8)*2)))**2. 51*sqrt(2) + 307/2 Simplify ((sqrt(252) + 2*sqrt(252)*1)*-4 + 2 + sqrt(448)*2 + -4 + (sqrt(448) + -1)*1)**2. 288*sqrt(7) + 16137 Simplify (((-1*sqrt(78) + sqrt(78))*2 + sqrt(78) + -1*-3*sqrt(78))/(((sqrt(300) - sqrt(300)*-1) + sqrt(300))/(sqr
{ "pile_set_name": "DM Mathematics" }
4))/(((-3)/(-21))/((-1320)/11088))? 5/27 What is (-48*101/(-9696))/((-75)/80)? -8/15 Calculate (-15)/((-6435)/91)*204/(-1190)*(-5)/2. 1/11 (42/8)/((-12)/8)*2784/203 -48 Calculate (29/(-6)*(-126)/42)/(9*(-11)/198). -29 Calculate ((-6)/14*(-65)/(-10725)*-33)/((-1)/10). -6/7 Evaluate ((16/(-14))/(462/(-539)))/((-10)/1035*3). -46 Evaluate (6/11)/((-13)/(4433/(-868))). 3/14 Calculate 442/130*210/(-210). -17/5 Calculate ((-24)/(-480))/((-102)/816). -2/5 What is the value of ((-80)/(-10080))/((-31)/(-5022))? 9/7 What is the value of 8*((-5)/35)/((-12)/(-126))? -12 What is the value of (48/182)/(2456/8596)? 12/13 -1*2*(-2)/(((-46)/(-23))/(118/4)) 59 What is ((-4)/10)/1*181/112401*675? -10/23 Calculate (18848/3844)/152*-1*1. -1/31 What is the value of 3*(-12)/18*285/1026*(-24)/(-280)? -1/21 Evaluate ((-10)/(-4))/((-391175)/1157878). -37/5 Evaluate ((-1)/(-72)*36)/((-2)/(-3)*(-342)/(-48)). 2/19 Calculate (((-28)/((-5824)/130))/(30/18))/(6/(-4)). -1/4 What is (231/1386)/((-7)/(-28))? 2/3 What is (92/(-16))/((9879/444)/89)? -23 What is (52332/890)/98*50/(-36)? -5/6 What is the value of (2565/285*4/(-9))/(4/110)? -110 Calculate (((-36)/(-60))/((-216)/60))/((-5)/(-20)*2). -1/3 Evaluate -106*5/(-10600)*10*2. 1 What is the value of ((4275/(-20))/(-95))/((-39)/8)? -6/13 (16020/(-14418))/((-4)/1008*-4) -70 What is ((-2)/(-3)*(-6)/(-12)*1)/(711/117315)? 55 What is (-2)/((-8160)/(-200)*10/36)? -3/17 What is (-24)/(5600/504*9)? -6/25 4*(-8)/(-12)*-1*39*(-14)/(-546) -8/3 What is the value of (29425/(-3025))/((-6)/11)*(-30)/((-30)/6)? 107 What is (-4)/((-72)/(-30))*-567*3/90? 63/2 What is the value of (26/5)/((-4*54/144)/((-45)/(-12)))? -13 (32/80)/(176/(-264)) -3/5 ((-223)/((-30105)/(-24840)))/(-2*2) 46 Calculate (-1)/(3/(-2))*(490/(-12))/((-490)/882). 49 What is (-44*(-585)/(-343200))/(1*(-3)/2)? 1/20 Evaluate ((-2)/186)/(10/30)*2/2. -1/31 Calculate (-168)/(9240/935)*4/(8/6). -51 42*292/32193*2/(-16) -1/21 Evaluate ((-17)/(2380/(-105)))/((-48)/(-1856)). 29 (-57)/((-6156)/360)*(-21)/65 -14/13 What is the value of 5/(-1)*((-3407352)/(-1340))/326? -39 What is the value of (-5)/2*864/1782*33? -40 3/((-1110)/(-2960)*4/(-6)*(-69)/92) 16 (-471)/314*4*1/6*64/2208 -2/69 Calculate 11585/662*((-4)/(-3))/(56/24). 10 What is ((-14210)/1029)/(-58)*(6/(-8))/((-5)/60)? 15/7 What is ((-201)/((-2550690)/900))/(-10)? -1/141 What is the value of (-169*(-126)/(-188370))/13? -1/115 What is ((-61938)/11470)/((-27)/(-120))? -24 What is the value of (64*(-124)/7936)/(2/(-4)*22/(-2))? -2/11 Calculate 1602/(-623)*176/(-11)*42/36. 48 What is the value of (13*-3)/(48/(2256/47))? -39 Calculate (52/7072)/((-90)/(-1020)). 1/12 Evaluate (-260)/(-26)*(-16)/(-440)*374/68. 2 Calculate (((-2)/(-84))/(131/(-393)))/(1/((-66)/3)). 11/7 (-50)/6*(9/5)/((-1794)/(-1196)) -10 What is ((-1)/(5*(-7)/3885))/(-1)? -111 Evaluate ((-1)/21)/(12904/(-2709840)). 10 (100/(-40))/(11/(-55)*(-5)/(-6)) 15 What is 1/(-20)*(1/18)/((-102)/(-1632))? -2/45 What is the value of ((12/3)/(-1))/((-51)/(-102)*-20)? 2/5 What is 253*((-60)/(-4))/165? 23 (-15)/3*17*(65/130)/(3/(-6)) 85 Calculate 2/((-8)/(-1)*(196/(-5341))/4). -109/4 What is 1876/(-18492)*(-782)/1071? 2/27 Evaluate 304/247*(-12415)/382. -40 Evaluate 224/(-62720)*28*5/(-52). 1/104 What is the value of ((-1755)/(-1215))/((-15)/27)? -13/5 What is (((-4455)/(-1368))/(-55))/((-93)/(-248))? -3/19 Evaluate (-46340)/(-25818)*24/112. 5/13 Calculate (624/507)/(504/1092). 8/3 (((-42)/1092)/(3/6))/((-2)/1) 1/26 Evaluate ((-6)/4*(-92)/3795)/(4/(-40)*-2). 2/11 Evaluate (-4374)/2187*1/29*1. -2/29 (-390)/156*-2*2/145 2/29 What is the value of (5/7)/(-5)*140/(-4)? 5 (12*(-115)/(-129996))/(125/150) 2/157 Evaluate ((-8)/(-272))/((-3756)/(-553384)). 13/3 Evaluate ((-27)/(-144))/(((-2)/(-14))/((-14010)/3269)). -45/8 (12/5*(-985)/(-2758))/(((-104)/(-14))/(-4)) -6/13 Calculate ((-48)/210*-5)/(13/(2912/(-80)))*10. -32 ((-602)/(-63))/((-872)/(-3924)) 43 ((-12)/8*(-1)/(-6))/((-33)/176) 4/3 What is the value of (-385)/((-20790)/(-324))*64/6? -64 What is the value of (-37*33/407*(-2)/44)/(4/22)? 3/4 (((-9)/27)/((4/2)/(-2)))/(119/(-8568)) -24 30/(-4)*(-39)/(58500/8600) 43 What is the value of 5/(2750/(-528))*-5*(-2)/3? -16/5 Calculate (32*(-1357)/3776)/(2/4). -23 ((-8)/968)/((-261)/783*3/11) 1/11 What is (2/(-22))/((-1160)/2552*-6*(-2)/(-510))? -17/2 Calculate (136/(-2380))/((-11)/((-110)/4)). -1/7 What is 8/(64/(-10))*(-341)/(-5115)*-132? 11 ((-9)/(-2))/(((-1512)/(-30))/21*(-18)/144) -15 What is the value of (9/(-15))/(1/(-2)*(-438)/24455)? -67 What is the value of 1/21*((-2)/2)/(-6)*-27? -3/14 (-104820)/(-6988)*(-11)/5 -33 Calculate (-1)/((-10)/(-20)*(-19)/((-1976)/(-16))). 13 Evaluate 16/(-14)*(-140)/(-800)*10. -2 Evaluate (-9)/(-66)*2580/215. 18/11 (-1)/(10/(-72))*1672/(-109098)*870 -96 What is (((-372)/(-8))/(-31)*32/12)/(8/(-14))? 7 (-1581)/(-1054)*(-20)/(-710) 3/71 Evaluate -7*(5/(-20))/((-213)/7668). -63 What is (15/(-270))/((-132)/40392)? 17 2/(-8)*(-80)/130 2/13 Evaluate 54/2*4*(-5)/(405/(-3))*3. 12 80/(-120)*1*18 -12 (-564)/(-27)*((-117)/4)/(38181/(-5874)) 94 What is the value of ((-220)/2)/(270/108)? -44 Calculate (((-40)/3)/(-5))/((87024/(-111))/(-56)). 4/21 Calculate 1/((-21)/(-49))*(-1320)/715*13. -56 What is the value of ((-4)/(-48))/((-438)/(-78840))? 15 Evaluate (-42)/20*(40906/113)/181. -21/5 What is ((-6)/3)/(((-16740)/(-6231))/90)? -67 Evaluate 4/(1120/210)*((-680)/6)/(-5). 17 What is (37506/(-1596))/(188/(-688))? 86 Calculate ((-5)/16)/((-310)/(-2976)*120). -1/40 (-7)/((3135/(-55))/342) 42 Calculate (2/(-60))/((1600/8000)/((-276)/(-10))). -23/5 20/(-8)*(-48)/(-240)*91/(-6370) 1/140 Calculate (-1196)/26*-7*17/119. 46 What is 973/(1006082/(-5640))*22/4? -30 Evaluate ((-231)/572)/(927/(-8034)). 7/2 Calculate 360/50112*29*3/(-5). -1/8 Calculate (18/20)/((880992/(-805))/96). -3/38 What is 5/8*(-960)/(-33000)? 1/55 What is ((136/48)/(-17))/((3/27)/((-48)/(-3024)))? -1/42 What is the value of (7*(-5)/(-70))/((-222)/18648)? -42 (-21)/(17*(-21)/(-238)) -14 What is the value of (-3*6/75*140/(-6))/(3826/(-1913))? -14/5 What is the value of (1/((-6)/(-16)))/(2719736/(-53679))? -1/19 What is 4*(-32*7/(-1792))/((3/(-2))/(-3))? 1 What is the value of 4120/(-56238)*-91*((-345)/(-4))/5? 115 -8*258/120*((-2)/5)/((-74)/185) -86/5 Calculate (((-12)/(-30))/(12/(-5))*-12)/(-46). -1/23 What is 5/((85/(14875/735))/(-3*4/(-20)))? 5/7 What is the value of ((-4437)/442)/87*(-4)/24? 1/52 What is the value of (((-6)/9)/((-10)/495))/(2619/(-1746))? -22 What is the value of (-49)/126*(70280/784)/251? -5/36 Calculate -10*462/252*(-7)/35. 11/3 Calculate (69296/(-43310))/((-104)/(-90)). -18/13 Calculate ((-4)/(-3)*(-26)/(728/12))/((-18)/3276). 104 What is the value of 2/104*(-20784)/(-7794)? 2/39 What is the value of (-9)/(-14)*(-42)/10*13*(-185)/(-2886)? -9/4 Calculate (-297)/(-15)*(462/198)/((-56)/(-80)). 66 What is 1*83/(4150/(-40))? -4/5 (-7*(-34)/357)/((67/3)/((-9)/9)) -2/67 -10*(-8)/45*(-3132)/(-464) 12 What is the value of (6*(-13)/(-546)*(-7)/(-2))/(2/152)? 38 Calculate (-14)/(-14)*(55/((-6930)/(-216)))/(348/(-42)). -6/29 What is the value of (((-2600)/(-1820)*868/30)/(2/3))/(-1)? -62 What is 20*10*(-90)/3750? -24/5 Calculate ((-140)/60*12/(-70))/((56/380)/(-14)). -38 Calculate ((4/14)/(24786/1071))/((-4)/(-8))*3. 2/27 What is ((-2)/(-12))/(950/71250)*12/(-10)? -15 Calculate ((-24)/(-33))/(324/198)*-27. -12 Evaluate (172/2064)/(20/(-12)*2/10). -1/4 Evaluate (60/1224*17)/(18/(-4))*2. -10/27 ((-126)/(-70))/((-53)/((-87450)/(-90))) -33 What is 2/28*(-10)/3*245/(5635/138)? -10/7 What is the value of 12/7*(-6146)/(-19755)? 8/15 Evaluate (-10)/(-5)*1/4*4/(-32). -1/16 What is the value of ((-175)/(-56))/(2/(-16))*-1? 25 Calculate (-223)/5575*(-48)/(-16). -3/25 What is ((-58)/(-16))/(5/(1200/(-30)))? -29 Evaluate ((-17290)/195)/19*-18*3/21. 12 What is the value of 26/(40950/189)*5/(-4)? -3/20 What is the value of (-195)/(-52)*-11*84/(-14553)*56/(-12)? -10/9 Evaluate (-5)/2*66/70*16471/(-28236). 11/8 Evaluate (-2)/12*(1/(-1))/(10388/44520). 5/7 What is 4*(2279/(-15052))/(-43)? 1/71 Calculate (-29315)/390*(-564)/17343. 22/9 Evaluate 21*36*50/1350. 28 Calculate ((-3081)/(-6))/((-24921)/3834). -79 What is (2/(-2))/(((-84)/(-808))/21)*(-165)/(-330)? -101 Calculate 99/((-4158)/56)*5/((-290)/3). 2/29 What is (-
{ "pile_set_name": "DM Mathematics" }
Calculate the remainder when 10247 is divided by 928. 39 Calculate the remainder when 4601329 is divided by 1247. 1146 Calculate the remainder when 48598446 is divided by 5399825. 21 What is the remainder when 477405 is divided by 477385? 20 What is the remainder when 384825 is divided by 132? 45 Calculate the remainder when 76230160 is divided by 6816. 16 Calculate the remainder when 490799 is divided by 1424. 943 What is the remainder when 396998 is divided by 6728? 46 Calculate the remainder when 140614256 is divided by 23435706. 20 Calculate the remainder when 288664 is divided by 14432. 24 Calculate the remainder when 669501 is divided by 111581. 15 Calculate the remainder when 256604 is divided by 5597. 4739 Calculate the remainder when 3160039 is divided by 1579784. 471 Calculate the remainder when 97370341 is divided by 586. 581 Calculate the remainder when 1167812 is divided by 1182. 1178 What is the remainder when 9029833 is divided by 167219? 7 Calculate the remainder when 9049097 is divided by 8. 1 What is the remainder when 400292 is divided by 50033? 28 What is the remainder when 2906819 is divided by 15? 14 Calculate the remainder when 2309240 is divided by 1153594. 2052 Calculate the remainder when 373938 is divided by 6452. 6174 Calculate the remainder when 134390 is divided by 1947. 47 Calculate the remainder when 206981 is divided by 41391. 26 Calculate the remainder when 40171093 is divided by 45. 43 What is the remainder when 88001 is divided by 2155? 1801 What is the remainder when 982294 is divided by 370? 314 What is the remainder when 6362278 is divided by 1517? 1497 Calculate the remainder when 1847190 is divided by 13194. 30 Calculate the remainder when 5501421 is divided by 2750698. 25 What is the remainder when 9191917 is divided by 101? 8 Calculate the remainder when 441256328 is divided by 81. 80 What is the remainder when 65472555 is divided by 1702? 19 Calculate the remainder when 28297941 is divided by 17. 13 Calculate the remainder when 48698 is divided by 592. 154 What is the remainder when 2015944 is divided by 22398? 124 Calculate the remainder when 2807103 is divided by 431. 0 What is the remainder when 57002 is divided by 10547? 4267 Calculate the remainder when 52443215 is divided by 1302. 1259 Calculate the remainder when 9535345 is divided by 739. 28 Calculate the remainder when 3685705 is divided by 161. 93 Calculate the remainder when 13735982 is divided by 51. 50 Calculate the remainder when 30583 is divided by 2812. 2463 Calculate the remainder when 382535 is divided by 5684. 1707 What is the remainder when 14589375 is divided by 1028? 1027 What is the remainder when 33246 is divided by 10194? 2664 Calculate the remainder when 40154669 is divided by 79357. 27 Calculate the remainder when 1682732 is divided by 302. 290 Calculate the remainder when 445886 is divided by 148404. 674 What is the remainder when 147734 is divided by 22? 4 What is the remainder when 70160097 is divided by 50? 47 What is the remainder when 7866631 is divided by 35? 31 Calculate the remainder when 594940 is divided by 3132. 2992 Calculate the remainder when 15885499 is divided by 408. 19 Calculate the remainder when 699965 is divided by 9. 8 Calculate the remainder when 68451 is divided by 706. 675 What is the remainder when 448999 is divided by 449? 448 Calculate the remainder when 1234106 is divided by 1234105. 1 What is the remainder when 290932276 is divided by 3738? 3736 Calculate the remainder when 2565117 is divided by 525. 492 What is the remainder when 83559607 is divided by 4427? 4409 Calculate the remainder when 468674 is divided by 1077. 179 What is the remainder when 139410 is divided by 6954? 330 What is the remainder when 13302027 is divided by 7885? 32 What is the remainder when 1921402 is divided by 640311? 469 What is the remainder when 84709469 is divided by 34? 33 Calculate the remainder when 462270 is divided by 56. 46 What is the remainder when 3402067678 is divided by 396? 394 Calculate the remainder when 33471523 is divided by 11157171. 10 What is the remainder when 424488 is divided by 104684? 5752 Calculate the remainder when 15893678 is divided by 79. 63 Calculate the remainder when 1998735 is divided by 465. 165 Calculate the remainder when 6393870 is divided by 279. 27 Calculate the remainder when 94529199 is divided by 100. 99 Calculate the remainder when 544282 is divided by 168. 130 Calculate the remainder when 1909220 is divided by 1167. 8 Calculate the remainder when 6980317 is divided by 3490014. 289 What is the remainder when 1957061 is divided by 1956389? 672 What is the remainder when 9095622 is divided by 359? 357 What is the remainder when 79646847 is divided by 17? 11 What is the remainder when 16552079 is divided by 113? 65 What is the remainder when 3008811 is divided by 200575? 186 What is the remainder when 856872 is divided by 246? 54 What is the remainder when 1290026 is divided by 13? 10 What is the remainder when 76443464 is divided by 3185144? 8 What is the remainder when 7232543 is divided by 390? 383 What is the remainder when 11298 is divided by 2446? 1514 What is the remainder when 331316 is divided by 1001? 986 Calculate the remainder when 3765761 is divided by 344. 337 What is the remainder when 6263205 is divided by 184211? 31 Calculate the remainder when 27148295 is divided by 371. 370 What is the remainder when 1110050 is divided by 554498? 1054 Calculate the remainder when 693357 is divided by 370. 347 What is the remainder when 3078333 is divided by 28? 13 What is the remainder when 1976277 is divided by 988131? 15 Calculate the remainder when 1982706 is divided by 660460. 1326 Calculate the remainder when 6382845 is divided by 96. 93 Calculate the remainder when 18546566 is divided by 575. 516 Calculate the remainder when 29209 is divided by 71. 28 Calculate the remainder when 535697 is divided by 535649. 48 Calculate the remainder when 60396 is divided by 6033. 66 Calculate the remainder when 299046 is divided by 335. 226 Calculate the remainder when 11191420 is divided by 803. 9 Calculate the remainder when 593712 is divided by 86. 54 What is the remainder when 134347 is divided by 11135? 727 Calculate the remainder when 120079407 is divided by 23. 18 Calculate the remainder when 55906 is divided by 1122. 928 Calculate the remainder when 31073 is divided by 61. 24 Calculate the remainder when 107114 is divided by 137. 117 What is the remainder when 713529 is divided by 1020? 549 What is the remainder when 1361221 is divided by 3232? 549 What is the remainder when 1842596 is divided by 3715? 3671 Calculate the remainder when 999529 is divided by 111030. 259 Calculate the remainder when 2641610 is divided by 528322. 0 What is the remainder when 348632 is divided by 370? 92 Calculate the remainder when 1092521 is divided by 22. 1 Calculate the remainder when 4775364 is divided by 1169. 1168 What is the remainder when 71928812 is divided by 348? 344 What is the remainder when 58785 is divided by 19534? 183 Calculate the remainder when 2093417 is divided by 348902. 5 Calculate the remainder when 39420 is divided by 498. 78 Calculate the remainder when 1951564 is divided by 390267. 229 What is the remainder when 29839011 is divided by 10139? 10073 Calculate the remainder when 24485067 is divided by 2588. 2587 What is the remainder when 11989955 is divided by 371? 348 Calculate the remainder when 30730722 is divided by 8. 2 Calculate the remainder when 636298 is divided by 3042. 520 Calculate the remainder when 10296 is divided by 2486. 352 What is the remainder when 9369401 is divided by 686? 13 Calculate the remainder when 183984670 is divided by 16. 14 Calculate the remainder when 171397 is divided by 474. 283 What is the remainder when 70809737 is divided by 177468? 5 What is the remainder when 899242 is divided by 9349? 1738 Calculate the remainder when 444554 is divided by 49387. 71 Calculate the remainder when 64348404 is divided by 6313. 6308 Calculate the remainder when 1428035 is divided by 882. 77 What is the remainder when 116914 is divided by 1197? 805 What is the remainder when 3692742 is divided by 1197? 1194 Calculate the remainder when 74413173
{ "pile_set_name": "DM Mathematics" }
07 in 4, 0.3, -153, 0.5? 0.3 Which is the nearest to -0.3? (a) 36 (b) -32 (c) -3 (d) -4 (e) -2 e Which is the closest to 4/5? (a) 0.119 (b) 5 (c) -1/5 (d) 0.5 d Which is the closest to 366? (a) 1/3 (b) -0.112 (c) -6 a Which is the closest to -0.2? (a) 9 (b) 4 (c) -601 (d) 0.4 d What is the closest to 0 in 1, -0.4, 64/11, 0, 4.24? 0 What is the closest to 38 in 0.1, 437, -0.16? 0.1 Which is the nearest to -0.4? (a) 22 (b) 7 (c) 2/11 (d) 48/29 c Which is the nearest to -1? (a) -12/77 (b) -5/77 (c) 0.01 a Which is the closest to -1? (a) -0.05 (b) 2 (c) -6.2 (d) -2 a Which is the nearest to 0.2? (a) -0.41 (b) 145 (c) 0 c What is the closest to -2/3 in 4, 2, 137.3? 2 What is the nearest to 0.1 in -22, -7/3, -0.5, 70? -0.5 What is the nearest to 6 in 23, -5, 1/8, 0.5, 2/11? 0.5 What is the nearest to -2111 in -3/7, 0.4, -1, 4? -1 Which is the closest to 3/5? (a) -60 (b) -3 (c) 4 (d) -9 c Which is the nearest to -5? (a) -4 (b) 0.2 (c) -2 (d) 135 (e) -1/6 a Which is the nearest to -0.07? (a) 1/3 (b) -132 (c) -5/4 a Which is the closest to -0.54? (a) 4/5 (b) -5 (c) 0.2 (d) -3 (e) 3 c What is the closest to -1/20 in 5/7, -2, -0.5, 14/9? -0.5 What is the nearest to -3/2 in -1, -5, -2009, 2/3, 4? -1 What is the closest to 0 in -2/5, 0.02, 4.4? 0.02 What is the closest to 1/2 in -0.3, 19539, 0.5, 5? 0.5 Which is the nearest to -2/9? (a) 1/7 (b) -1/2 (c) 724/5 (d) 2 (e) 0.4 b What is the closest to 2/7 in -5, -1, 1.3, 3? 1.3 Which is the closest to -2/5? (a) -1/8 (b) -293/2 (c) 6 a What is the closest to 5 in -0.2, 3, -283? 3 What is the nearest to 1/3 in 0.3, -4, 1, 23/3, -2/23? 0.3 What is the nearest to -27 in -33, 1, 3? -33 What is the closest to -2/13 in -3, -4142, 0.04, -4? 0.04 Which is the nearest to 0.3? (a) -0.05 (b) 2/11 (c) -0.5 (d) -0.21 b What is the nearest to 55 in -25, -0.4, 2? 2 Which is the closest to 0? (a) -8 (b) 2/9 (c) 118 (d) -1/12 (e) -2/19 d Which is the closest to 2/3831? (a) -3 (b) 0.3 (c) -220 b What is the nearest to 0 in -4/5, -4, 65.19? -4/5 Which is the nearest to -2.488? (a) -5/2 (b) 0.2 (c) -5 (d) 9/5 a Which is the nearest to 7? (a) 5 (b) -4/7 (c) -5 (d) 1/66 (e) -1 a What is the closest to -1 in 0.55, -4, -0.3? -0.3 Which is the closest to 1? (a) -12012/5 (b) 2/3 (c) -3 b Which is the closest to 6/7? (a) -4 (b) -3 (c) 1 (d) -0.4 (e) -1/2 c Which is the closest to 0.13? (a) 19 (b) 2 (c) -0.3 (d) 3 (e) 2.1 c Which is the closest to 2? (a) -0.3 (b) -2 (c) -3/14 (d) 8 c What is the nearest to -4 in 5, 34, 0.01? 0.01 What is the nearest to 7490/27 in -1, 0.4, 0.1? 0.4 What is the closest to 0 in 3, 63, 0? 0 What is the closest to 0.2 in -12286, -2, 1, -4? 1 What is the nearest to 0.1 in 1/2, 64, 289? 1/2 Which is the closest to -29? (a) -13/5 (b) -4 (c) 0.01 b Which is the nearest to 2? (a) -5.1 (b) -3 (c) 1/5 c What is the nearest to -2 in 7/2, -36674, 0.4? 0.4 What is the nearest to -1 in -0.1, 11, -6, 29, -2? -0.1 What is the closest to -10/3 in 4, -0.7, -4, -2/11, 2? -4 Which is the closest to -0.1? (a) 38/7 (b) 263 (c) -14 a Which is the nearest to 1? (a) 3/5 (b) -0.054 (c) 2/7 (d) -0.5 (e) -0.4 a Which is the closest to -2? (a) -224 (b) 0 (c) 5 b What is the closest to 0 in -0.5, 11226, -0.2, -1? -0.2 What is the closest to 136 in 1, 0.028, 5, -0.2? 5 Which is the closest to -2? (a) -0.3 (b) 3 (c) 1 (d) -2 (e) 60 d What is the nearest to 0.001 in -1/4, -1, 4, 1? -1/4 What is the nearest to -0.1 in 2/21, -313466, 1/3? 2/21 Which is the nearest to -1? (a) -0.4 (b) 0 (c) -0.2 (d) -1/51 (e) -3 a Which is the nearest to -4/5? (a) -0.5 (b) -4/5 (c) 0.4 (d) -1 (e) 0.07 b Which is the nearest to -0.1? (a) 91 (b) -27 (c) -0.3 c What is the nearest to 1 in 4, -8/5, -178, 5, 0? 0 Which is the nearest to 1? (a) -4 (b) 5 (c) 629 (d) 0.5 d Which is the nearest to 0.05? (a) -2/5 (b) 16 (c) -4 (d) 1.06 a Which is the nearest to -9970? (a) 0.06 (b) 3 (c) 1 a Which is the nearest to -130? (a) -1/8 (b) 1/4 (c) -1 c Which is the closest to -17? (a) 0.07 (b) 0.3 (c) -0.03 (d) 1.3 (e) -0.4 e Which is the nearest to 42? (a) -4 (b) -1/5 (c) 1/7 c Which is the nearest to -0.1? (a) -2 (b) -13 (c) -41 (d) 0.1 (e) 11 d What is the closest to 7 in -0.4, -436, -22, -2? -0.4 Which is the closest to -0.2? (a) -250 (b) 6 (c) -0.05 (d) 0.05 c Which is the nearest to -3? (a) -0.5 (b) -339 (c) 6/5 a Which is the closest to -4? (a) -69 (b) -1 (c) -2/3 (d) 1.2 (e) 0.05 b Which is the nearest to -1/4? (a) 1/6 (b) -3 (c) -2/5 (d) 417 (e) -0.3 e What is the nearest to 2 in 0.5, 3, -3, -300, 4? 3 What is the nearest to 0 in 0, -3, -28, -0.2, 8/9? 0 Which is the nearest to -4/9? (a) -8 (b) -4/3 (c) -9 b What is the closest to 0.1 in -130/11, -1, 2/3, -29? 2/3 Which is the closest to 12? (a) 1.03 (b) 0.4 (c) 1/6 (d) 3/2 (e) 2/3 d Which is the nearest to 1? (a) 0.7 (b) 17 (c) 9 a Which is the closest to -1585? (a) 0.3 (b) 1/5 (c) -6/5 (d) -1/7 c Which is the closest to -7/46? (a) 11/2 (b) 3 (c) 7 b What is the closest to 0 in -3/5, -0.091682, -3? -0.091682 What is the closest to 2/7 in 13, -42, -3, 0.14, -2? 0.14 What is the closest to -0.059 in 2/159, -0.4, -0.02? -0.02 Which is the nearest to -32? (a) 0.02 (b) 86 (c) -5 c Which is the closest to -2.78? (a) -4 (b) 2 (c) -1.4 (d) 4 a What is the nearest to -37 in 5, -1/14, 13, -4, 1? -4 Which is the closest to 2/5? (a) -392 (b) 0.2 (c) 0.7 (d) 4 b What is the nearest to 2/7 in -4/5, -7/3, 4/5, 1073? 4/5 Which is the nearest to 5? (a) 14/5 (b) -5 (c) -4 (d) 1 (e) 5 e What is the closest to -0.2 in -53/2517, 4, 5? -53/2517 What is the nearest to -2/7 in -7/15, 0.3, -2, 3/7? -7/15 What is the closest to -1 in 2/127, 0.5, 3/8, 20/9, -0.3? -0.3 What is the nearest to -0.1 in 0.27, 23, 2/3? 0.27 Which is the nearest to 152? (a) -6/7 (b) 15/2 (c) -0.4 (d) -5 b What is the nearest to -58 in -1/5, -2, 0.3, 2? -2 What is the closest to 0.1 in -4/5, 1723, 0, 1/2, -2? 0 Which is the nearest to -1? (a) -0.4 (b) -26140 (c) -3 a Which is the nearest to -2/3? (a) 2 (b) -2 (c) -0.05 (d) 1/58 (e) 15 c Which is the nearest to -0.4? (a) 10/21 (b) -0.1 (c) 26 b What is the closest to 0 in 0.4, 298, -2, 2/21? 2/21 What is the closest to -2/15 in -1/17, -2, -5, -12? -1/17 What is the nearest to 5/4 in -0.06, -2/9, 3/5, -2/3? 3/5 What is the closest to -20 in -6, -2/57, -0.1, -37, -5? -6 What is the closest to -14 in 1.23, -0.1, 1/5? -0.1 What is the closest to 0 in 3.4, -2, 16, 0.2, -4? 0.2 What is the closest to 3 in 0.5, -0.2, 1, 7? 1 Which is the nearest to -0.1? (a) 1/3 (b) -2/11 (c) -1/4 (d) 36.359 b Which is the nearest to -2/13? (a) -49 (b) -3/4 (c) -20 (d) 3 b What is the nearest to 2/109 in 1/4, 0.1, 9/2, 17/4? 0.1 Which is the closest to -1? (a) -7 (b) -0.2 (c) -2 (d) -2850 b What is the nearest to -64 in 2.5, 3/2, -0.03, 0.3, -13/3? -13/3 What is the nearest to 5 in -15, 137.13, -2, -4? -2 Which is the closest to 11? (a) -35 (b) -4.3 (c) -4/5 c Which is the closest to -1? (a) 938 (b) 1/11 (c) -2/5 c Which is the closest to -1? (a) 0.5 (b) 0.1 (c) -852571 (d) 1/7 b What is the closest to -1.2 in -688, 2, -2/7? -2/7 Which is the nearest to -2/17? (a) -1 (b) 0.048 (c) 0.2 (d) 19 b Which is the closest to 0.1? (a) -3/11 (b) 2 (c) -4020/53 (d) 0.4 (e) -3 d Which is the closest to -0.4? (a) 2 (b) -1 (c) 3 (d) 3/2 (e) 63 b What is the closest to 1 in 1/5, 1/3969, 1? 1 What is the nearest to 3/7 in -1/2, 2/9, 0.25, -5? 0.25 Which is the closest to 0.2? (a) -3 (b) 4 (c) -158 (d) -0.5 (e) -1 d Which is the nearest to -14900? (a) -1 (b) 5/6 (c) 1/8 (d) -5 d Which is the closest to -9/4? (a) -140 (b) -5 (c) 5 b Which is the closest to 34? (a) 3 (b) -0.5 (c) -1.5 a Which is the closest to -2/3? (a) 5 (b) 1 (c) 12655 (d) 2/9 d What is the closest to 1.9 in -50, -0.1, -4? -0.1 What is the nearest to -1 in -1, -4, 34, -1/8, -2/19? -1 What is the nearest to 0.3 in 2.9, -5, -2, 2/7? 2/7 What is the closest to 2 in 1/40, 3, -5, -6/5? 3 Which is the closest to -1/3? (a) 2/3 (b) -1/3 (c) 0.1 (d) 0.3 (e) -31/4 b Which is the nearest to 1? (a) -2/7 (b) -209 (c) 2/2
{ "pile_set_name": "DM Mathematics" }
4 What is the hundreds digit of 6272? 2 What is the hundreds digit of 1185? 1 What is the thousands digit of 8183? 8 What is the units digit of 3120? 0 What is the units digit of 352? 2 What is the tens digit of 1107? 0 What is the hundred thousands digit of 136193? 1 What is the thousands digit of 1982? 1 What is the tens digit of 2370? 7 What is the units digit of 3590? 0 What is the units digit of 4537? 7 What is the units digit of 27746? 6 What is the hundreds digit of 2596? 5 What is the tens digit of 5453? 5 What is the units digit of 1621? 1 What is the tens digit of 181206? 0 What is the units digit of 773? 3 What is the units digit of 838? 8 What is the ten thousands digit of 25794? 2 What is the tens digit of 702? 0 What is the hundreds digit of 11890? 8 What is the tens digit of 9458? 5 What is the units digit of 51125? 5 What is the tens digit of 126762? 6 What is the thousands digit of 12586? 2 What is the hundreds digit of 80535? 5 What is the hundreds digit of 113360? 3 What is the units digit of 700? 0 What is the units digit of 16511? 1 What is the tens digit of 20006? 0 What is the hundreds digit of 49396? 3 What is the tens digit of 51540? 4 What is the tens digit of 1203? 0 What is the hundreds digit of 23136? 1 What is the thousands digit of 52757? 2 What is the hundreds digit of 687? 6 What is the units digit of 5514? 4 What is the ten thousands digit of 32185? 3 What is the hundreds digit of 497? 4 What is the thousands digit of 5198? 5 What is the tens digit of 8629? 2 What is the thousands digit of 8835? 8 What is the hundreds digit of 4865? 8 What is the hundreds digit of 27996? 9 What is the hundreds digit of 72808? 8 What is the hundreds digit of 28495? 4 What is the units digit of 23259? 9 What is the ten thousands digit of 42053? 4 What is the tens digit of 22264? 6 What is the thousands digit of 2228? 2 What is the ten thousands digit of 29918? 2 What is the hundreds digit of 969? 9 What is the hundreds digit of 2363? 3 What is the units digit of 25935? 5 What is the units digit of 16696? 6 What is the tens digit of 6830? 3 What is the hundreds digit of 1709? 7 What is the tens digit of 178? 7 What is the hundreds digit of 48475? 4 What is the thousands digit of 111072? 1 What is the hundreds digit of 686? 6 What is the hundred thousands digit of 132090? 1 What is the tens digit of 938? 3 What is the tens digit of 9632? 3 What is the hundreds digit of 26066? 0 What is the units digit of 1371? 1 What is the units digit of 49625? 5 What is the hundreds digit of 3668? 6 What is the tens digit of 27? 2 What is the units digit of 4606? 6 What is the hundreds digit of 2691? 6 What is the ten thousands digit of 65944? 6 What is the tens digit of 104421? 2 What is the units digit of 47893? 3 What is the tens digit of 633? 3 What is the thousands digit of 15950? 5 What is the thousands digit of 20818? 0 What is the tens digit of 10341? 4 What is the hundreds digit of 1772? 7 What is the hundreds digit of 5612? 6 What is the hundreds digit of 1345? 3 What is the hundreds digit of 4046? 0 What is the thousands digit of 19179? 9 What is the hundreds digit of 382? 3 What is the hundreds digit of 271? 2 What is the tens digit of 878? 7 What is the tens digit of 11275? 7 What is the tens digit of 819? 1 What is the tens digit of 2283? 8 What is the tens digit of 141? 4 What is the tens digit of 50901? 0 What is the ten thousands digit of 17301? 1 What is the units digit of 9800? 0 What is the thousands digit of 8480? 8 What is the hundreds digit of 489? 4 What is the tens digit of 724? 2 What is the units digit of 83767? 7 What is the thousands digit of 1195? 1 What is the thousands digit of 3653? 3 What is the thousands digit of 19374? 9 What is the tens digit of 71600? 0 What is the units digit of 1713? 3 What is the thousands digit of 1035? 1 What is the hundreds digit of 1151? 1 What is the ten thousands digit of 21510? 2 What is the units digit of 1734? 4 What is the hundreds digit of 83913? 9 What is the tens digit of 25? 2 What is the units digit of 46055? 5 What is the tens digit of 3597? 9 What is the ten thousands digit of 11169? 1 What is the hundreds digit of 7092? 0 What is the units digit of 2653? 3 What is the units digit of 7776? 6 What is the hundreds digit of 3622? 6 What is the ten thousands digit of 48295? 4 What is the units digit of 2896? 6 What is the units digit of 5473? 3 What is the tens digit of 2812? 1 What is the thousands digit of 34034? 4 What is the ten thousands digit of 41806? 4 What is the thousands digit of 5560? 5 What is the thousands digit of 1126? 1 What is the units digit of 191? 1 What is the tens digit of 9459? 5 What is the tens digit of 6169? 6 What is the units digit of 1681? 1 What is the units digit of 10105? 5 What is the hundreds digit of 3015? 0 What is the hundreds digit of 643? 6 What is the tens digit of 648? 4 What is the units digit of 13369? 9 What is the tens digit of 52934? 3 What is the tens digit of 6186? 8 What is the units digit of 8763? 3 What is the units digit of 40? 0 What is the units digit of 2502? 2 What is the hundreds digit of 3908? 9 What is the units digit of 43084? 4 What is the thousands digit of 2182? 2 What is the hundreds digit of 395? 3 What is the tens digit of 14457? 5 What is the units digit of 14667? 7 What is the units digit of 299? 9 What is the tens digit of 45927? 2 What is the ten thousands digit of 181609? 8 What is the units digit of 132? 2 What is the hundreds digit of 109? 1 What is the units digit of 1302? 2 What is the tens digit of 16613? 1 What is the thousands digit of 13916? 3 What is the tens digit of 469? 6 What is the units digit of 50274? 4 What is the hundreds digit of 3741? 7 What is the units digit of 2607? 7 What is the tens digit of 47458? 5 What is the units digit of 60960? 0 What is the thousands digit of 14449? 4 What is the hundreds digit of 88293? 2 What is the hundreds digit of 4950? 9 What is the units digit of 2607? 7 What is the hundreds digit of 37045? 0 What is the hundreds digit of 62168? 1 What is the thousands digit of 1796? 1 What is the hundreds digit of 18516? 5 What is the tens digit of 224? 2 What is the ten thousands digit of 64454? 6 What is the thousands digit of 22140? 2 What is the thousands digit of 3057? 3 What is the units digit of 551? 1 What is the thousands digit of 4239? 4 What is the units digit of 90452? 2 What is the units digit of 49561? 1 What is the units digit of 717? 7 What is the units digit of 1535? 5 What is the units digit of 570? 0 What is the units digit of 4364? 4 What is the units digit of 10970? 0 What is the tens digit of 440? 4 What is the hundreds digit of 6425? 4 What is the ten thousands digit of 110086? 1 What is the tens digit of 1245? 4 What is the units digit of 272? 2 What is the hundreds digit of 333? 3 What is the units digit of 16807? 7 What is the ten thousands digit of 145845? 4 What is the thousands digit of 2583? 2 What is the units digit of 3281? 1 What is the tens digit of 71562? 6 What is the hundreds digit of 76902? 9 What is the tens digit of 99? 9 What is the hundreds digit of 1487? 4 What is the hundreds digit of 44879? 8 What is the ten thousands digit of 12214? 1 What is the thousands digit of 18108? 8 What is the thousands digit of 3354? 3 What is the ten thousands digit of 25387? 2 What is the units digit of 29849? 9 What is the thousands digit of 12988? 2 What is the thousands digit of 66894? 6 What is the units digit of 1753? 3 What is the tens digit of 25237? 3 What is the thousands digit of 1480? 1 What is the tens digit of 337? 3 What is the hundred thousands digit of 117831? 1 What is the tens digit of 661? 6 What is the hundreds digit of 28242? 2 What is the tens digit of 34394? 9 What is the tens digit of 107461? 6 What is the tens digit of 5870? 7 What is the hundreds digit of 866? 8 What is the hundreds digit of 281? 2 What is the hundreds digit of 572? 5 What is the tens digit of 124? 2 What is the units digit of 1408? 8 What is the hundreds digit of 22171? 1 What is the units digit of 5388? 8 What is the thousands digit of 2249? 2 What is the hundreds digit of 4185? 1 What is the tens digit of 2273? 7 What is the thousands digit
{ "pile_set_name": "DM Mathematics" }
= 4*b - 25368. Is b composite? True Let i(j) = 4*j + 7. Let m be 18/(-24)*(0 - 16). Is i(m) a composite number? True Let d = 10 + -6. Suppose 5*y - y + 116 = 3*u, -2*u + d*y + 72 = 0. Suppose 15 = 5*h - 3*m, -u = -5*h + h - 4*m. Is h a prime number? False Let y = 3543 - 2036. Is y prime? False Suppose 4 = -3*j + 4*j. Let h(s) = s - 5. Let r be h(5). Suppose 5*y - j*y - 3 = r. Is y composite? False Let q(b) = -2*b**3 + 10*b**2 - b - 2. Let o(t) = 2*t**3 - 11*t**2 + 1. Let d(x) = -4*o(x) - 5*q(x). Is d(5) prime? True Let y be -4 - -3 - (299 - 0). Let s = y - -487. Is s a composite number? True Suppose -5*m = -1147 - 1188. Is m composite? False Suppose 3332 = 5*t + 887. Is t a composite number? True Let m = -166 - -357. Is m composite? False Let u be (0 - 1)/((-2)/336). Let l be 1/(-4) + (-1042)/(-8). Suppose 2*b - l = u. Is b composite? False Let y(z) be the third derivative of 67*z**5/60 + z**4/24 - z**3/6 + 2*z**2. Is y(1) a composite number? False Let z(f) be the first derivative of 13*f**2 - 3*f + 1. Suppose -2*n - 4*a + 10 = -7*a, 5*a = -10. Is z(n) a prime number? False Let f be (-3 - -5)*(-2)/(-4). Let j be (-1 + 2)*(f + 0). Let w(b) = 7*b**3 - b**2 + 2*b - 1. Is w(j) prime? True Let s be 2 - 3/((-3)/16). Let f(d) = 12*d - 2. Let r be f(-1). Is 4018/s + r/63 a composite number? False Suppose 6*c - 2*c = 3260. Is c a prime number? False Let x(b) = -b**3 - b**2 - b + 15. Let u be x(0). Suppose 4*z = -3*y + 13, 0*y + 5 = -5*y. Suppose -u = -z*a - 3. Is a prime? True Let d(b) = -46*b + 5. Let m(l) = -l**2 + l - 3. Let j be m(0). Is d(j) a prime number? False Let c be 0/3*(-2 + 3). Suppose 4*z + z - 1055 = c. Let v = z - 102. Is v composite? False Is (-4)/24 - (-417)/18 a prime number? True Suppose 0 = 13*o - 9*o - 18268. Is o a prime number? True Let p(w) = 442*w**2 + w. Let g be (-63)/(-105) + 4/10. Is p(g) a prime number? True Let m = 610 - 343. Is m composite? True Suppose 9*q - 17*q = -28696. Is q prime? False Suppose -4*g = 3*d - 0*g - 1815, -4*d = 3*g - 2420. Suppose -4*m - 5*b = -d, 2*b + 178 = m + 17. Suppose 0*o = o - m. Is o a prime number? False Suppose 2*p + 10 = 4*v + 4*p, p - 5 = v. Suppose 3*c - 522 - 111 = v. Is c composite? False Let g = 47 + -44. Let p(v) be the second derivative of 5*v**4/12 - 2*v**3/3 + v**2 - v. Is p(g) a prime number? False Let f = -93 + 37. Is (f/(-12))/((-2)/(-123)) a composite number? True Let o(h) = 122*h**2 - h + 2. Let j be o(2). Suppose 0 = -3*n + 235 + j. Suppose 87 - n = -2*d. Is d prime? False Let a be 0/(-3 - 2/(-1)). Let b(y) be the first derivative of -y**2/2 + 14*y + 1. Is b(a) a composite number? True Suppose -4*a + 2*a = 0. Suppose a = 5*v - 0*z + 5*z - 1060, z + 214 = v. Is v prime? False Suppose k + 3*i + 37 = 336, -905 = -3*k - 5*i. Is k a composite number? True Let v(n) be the second derivative of -91*n**6/720 - n**4/6 - 3*n. Let q(r) be the third derivative of v(r). Is q(-1) prime? False Let j(y) = -36*y - 1. Suppose -w + 0 + 1 = 0. Let a be w*(-3 - -2)*1. Is j(a) a composite number? True Is (-2)/9 - (-14660)/36 prime? False Suppose -b = 5*y - 470, 0*y + 455 = 5*y + 4*b. Is y a prime number? False Suppose -1468 = -5*c + 3*k, -6*k = -4*c - 2*k + 1176. Is c composite? False Let b(f) = f**3 - 5*f**2 + 5. Let g be b(5). Suppose -2*n = -g*n + 15. Suppose -4*t - 19 = 3*h - 258, 0 = -n*h - 2*t + 417. Is h composite? True Suppose -27*l + 23*l = -6620. Is l a prime number? False Let t(o) = o**3 + 7*o**2 + 5*o + 5. Let y = -3 + 1. Let k be y*(1 + 2) + 0. Is t(k) composite? False Let o(i) be the second derivative of i**5/20 + i**4/2 - i**2 - 2*i. Is o(-5) composite? False Suppose 3*o + 5*o = 9368. Is o a composite number? False Let c be 0/(2*(-1)/2). Suppose c = -2*f + 59 + 135. Is f prime? True Let k be (-2)/1 + 12/2. Suppose -k*v + 4 = -8. Suppose -2*o = -v*t - 3, o + 0 = -5*t + 21. Is o a prime number? False Suppose -a = -2*a. Is (-2 + a + 3)*43 a prime number? True Let w(z) = z**3 - 9*z**2 + 6*z - 3. Let k = 37 - 67. Let a = -21 - k. Is w(a) composite? True Let h(z) = 8467*z**2 + 4*z - 4. Is h(1) prime? True Let n be ((-4)/10)/(10/1400). Is ((-145)/4)/(14/n) a prime number? False Is (-5124)/(-36) - (-4)/(-3) a prime number? False Let l = 6 + 16. Suppose l = 5*v - 4*v. Is -2 + 0 - v/(-2) prime? False Is (1 + -3)*(2 + (-442)/4) composite? True Let s(a) = -19*a - 2. Let c(i) = i**3 - 4*i**2 + i + 1. Let r(n) = n**3 - 2*n**2 + n + 1. Let t be r(2). Let d be c(t). Is s(d) composite? True Let s be 1/2*(-3 + 7). Suppose -5*d + 7 + 6 = -4*h, s = -h + d. Suppose 5*j - 2*z - 3*z = 480, -h*j + 282 = -z. Is j prime? False Suppose 5*w - 63 = 2. Let x = w - -1. Is x prime? False Let r(n) = -n**2 + 4*n - 8. Let c(k) = k**2 + k. Let o(f) = 4*c(f) + 2*r(f). Is o(11) composite? True Let v be 2/5*3*-5. Is (-4)/v - (-2737)/21 composite? False Suppose 2*x - 2*t - 520 = -3*t, -249 = -x + 5*t. Is x a composite number? True Suppose -4*h - 45 = -5*z, 0*z = -3*z - 4*h + 27. Let j be (-1 - -2)*(z + -4). Suppose -5*t + 2*t = -5*b - 28, j*b = -10. Is t a prime number? False Suppose -l + 54 + 223 = 4*n, -4*l + 2*n = -1054. Is l prime? False Let c(k) = 2*k - 11. Let u be c(8). Suppose 2*g - r - 532 = -g, -u = -r. Is g a composite number? False Suppose -14 = 4*y - 66. Let s = y + -22. Let j = 170 + s. Is j a composite number? True Suppose 3*u + 3*o = -o - 14, u + 13 = -3*o. Suppose 2*p = u*z - 0*z + 8, 5*z - 4 = -p. Suppose -p*q - q = -175. Is q prime? False Suppose -4*i = -y + 468, 5*i - 1458 = -3*y - 122. Suppose -2*h + y = 2*h. Is h prime? True Let u = -26 - -40. Let v be ((-8)/u)/((-2)/7). Is v + -3 + 1 + 23 a prime number? True Suppose -4*f + 227 = 4*g - g, -3*f + 2*g = -183. Is f composite? False Let x(k) = k**2 - k - 11. Let c be x(0). Let o = 26 - c. Is o a prime number? True Let k be (1 - -4)/(0 - -1). Let p(b) = b**2 + 19*b - 1. Let a(f) = f**2 + 10*f - 1. Let h(j) = k*a(j) - 3*p(j). Is h(-5) a prime number? True Suppose 2*k = -3*a + 6*k + 157, -3*k - 3 = 0. Is a a composite number? True Let h(l) = -20*l + 2. Let a = 4 + -7. Is h(a) a prime number? False Let s = -123 - -1962. Is s a composite number? True Let t(u) = -8*u. Let m be t(-1). Suppose 4*n + m = -k, -8 = 4*n + 8. Is (155/(-4))/((-2)/k) a composite number? True Is 135 + (84/63)/((-1)/(-3)) a prime number? True Suppose 0 = -4*k - 2*y + 45 + 29, k + 4*y = 36. Let a(t) = 15*t + 17. Is a(k) a prime number? True Suppose 0 = -3*f + 1982 + 895. Is f composite? True Let q be 24/40 - 87/(-5). Let d be ((-24)/q)/(1/(-3)). Suppose d*y = 3*y + 14. Is y a composite number? True Suppose 2*l = -3*l. Suppose -3*t + 2*o + 2 + 3 = 0, t - 3*o - 11 = l. Let q = 32 + t. Is q a composite number? False Let f(p) = -5*p**3 - 2*p - 1. Let m(j) = 6*j**3 + 3*j + 1. Let r(c) = -3*f(c) - 2*m(c). Let d be r(1). Is (-3)/(-6) + 866/d composite? True Let c be (4 + -2)/((-2)/(-71)). Let o(a) = -a**3 + 2*a**2 + 2*a + 3. Let w be o(3). Is c - 4 - (0 - w) a composite number? False Let s = 699 - 221. Is s composite? True Let m = 3 + -9. Let k(i) = i**2 + 3*i + 3. Is k(m) composite? True Let m be (-1)/2 - (-9)/18. Suppose -u = -m*u. Suppose 4*o - 36 - 40 = u. Is o a prime number? True Suppose -u = -2*b - 3 + 16, -5*u + 2*b - 33 = 0. Let j(d) = -2*d**3 - 5*d**2 - 7*d - 3. Let c be j(u). Suppose 5*i - c = -4*p, p + 0*i = 3*i + 52. Is p prime? True Let i be -1 + 2 + -4 + 2. Let c(b) = -b**2 - 6*b - 6. Let y be c(-6). Is 159/y*i*2 prime? True Let m(v) = 3*v**3 + 5*v**2 - 4. Is m(3) prime? False Let g(j) = -j + 2 + 0*j - 7. Let n be g(-9). Suppose 2*r - n*p = 24, -2*r + 0*r + 3*p = -19. Is r a prime number? True Suppose -20 - 295 = -3*y - 4*p, 0 = y - 4*p - 121. Is y a composite number? False Let h = 3 - -2. Suppose h*x = -180 + 985. Is x prime? False Let d(c) = c**2 - 8*c + 10. Let s be d(7). Suppose 2*m = -s*m. Suppose m*k = 4*k - 100. Is k a composite number? True Let o be 2/(-6) - 22/(-3). Let q(w) = w**3 - 8*w**2 + 10*w - 7. Is q(o) a composite number? True Let g = 3020 + -1402. Is g prime? False Let t(d) = d**3 - d**2 + 9*d + 11. Let p be t(10). Suppose 4*y - 867 - p = 0. Is y composite? False Let g = 2230 + -1577. Is g a prime number? True Let c = 1 + -2. Let d = c - -5. Suppose 0 = 2*g + d*j - 102, -4*g + 4*j + 2 = -214. Is g composite? False Let r = -2619 - -4450. Is r composite? Fa
{ "pile_set_name": "DM Mathematics" }
greatest common divisor of 114 and 53124. 114 What is the highest common divisor of 5053 and 163? 163 Calculate the highest common factor of 40 and 155. 5 Calculate the greatest common divisor of 318 and 15582. 318 Calculate the greatest common divisor of 5776 and 80. 16 What is the greatest common divisor of 336 and 432? 48 What is the highest common factor of 58 and 10498? 58 What is the highest common divisor of 1235 and 1045? 95 What is the highest common factor of 11 and 572? 11 What is the greatest common divisor of 7426 and 158? 158 What is the highest common divisor of 18 and 846? 18 Calculate the greatest common factor of 1380 and 4416. 276 Calculate the highest common divisor of 3503 and 339. 113 What is the greatest common factor of 84 and 273? 21 Calculate the highest common divisor of 228 and 48. 12 What is the highest common divisor of 34 and 45254? 34 Calculate the greatest common factor of 5589 and 69. 69 What is the greatest common divisor of 117 and 637? 13 What is the highest common factor of 3490 and 10? 10 What is the greatest common divisor of 8 and 82? 2 Calculate the highest common divisor of 11989 and 57. 19 Calculate the highest common divisor of 102 and 272. 34 What is the greatest common factor of 231 and 35? 7 What is the greatest common divisor of 2262 and 312? 78 What is the greatest common divisor of 319 and 145? 29 Calculate the highest common factor of 5880 and 357. 21 Calculate the greatest common factor of 37906 and 66. 22 What is the highest common factor of 34 and 782? 34 What is the greatest common divisor of 52 and 429? 13 What is the highest common divisor of 1989 and 81? 9 What is the greatest common factor of 384 and 416? 32 Calculate the highest common divisor of 1934 and 6. 2 What is the greatest common divisor of 175 and 2875? 25 What is the highest common divisor of 13 and 637? 13 Calculate the highest common factor of 364 and 77. 7 Calculate the highest common factor of 832 and 91. 13 What is the highest common factor of 2085 and 75? 15 What is the greatest common divisor of 126 and 77? 7 What is the greatest common divisor of 30 and 3110? 10 Calculate the highest common divisor of 182 and 2821. 91 Calculate the greatest common divisor of 84 and 4312. 28 What is the highest common factor of 800 and 8200? 200 What is the greatest common divisor of 1605 and 3? 3 What is the greatest common divisor of 20504 and 66? 22 Calculate the highest common divisor of 3262 and 28. 14 What is the greatest common factor of 640 and 40? 40 Calculate the greatest common factor of 1236 and 192. 12 Calculate the greatest common divisor of 14 and 22. 2 Calculate the highest common divisor of 58 and 29. 29 What is the highest common factor of 12626 and 1926? 214 Calculate the highest common factor of 55 and 1232. 11 What is the highest common factor of 535 and 107? 107 What is the highest common divisor of 5243 and 321? 107 Calculate the greatest common factor of 57 and 304. 19 What is the greatest common divisor of 134 and 8174? 134 What is the highest common factor of 2 and 179? 1 What is the greatest common divisor of 605 and 110? 55 Calculate the highest common divisor of 34678 and 14. 14 What is the highest common divisor of 144 and 64? 16 What is the highest common factor of 20 and 70? 10 What is the highest common factor of 1460 and 20? 20 Calculate the highest common factor of 132 and 3212. 44 Calculate the greatest common factor of 1102 and 58. 58 What is the greatest common divisor of 1017 and 12? 3 Calculate the highest common factor of 2349 and 243. 81 What is the greatest common divisor of 758 and 41311? 379 What is the greatest common factor of 21 and 19761? 21 What is the greatest common factor of 30 and 810? 30 What is the highest common factor of 22 and 44? 22 What is the greatest common factor of 549 and 793? 61 What is the greatest common divisor of 456 and 16? 8 What is the highest common factor of 30 and 75? 15 What is the greatest common factor of 6943 and 212? 53 What is the highest common divisor of 9849 and 147? 147 What is the greatest common factor of 52 and 388? 4 Calculate the greatest common divisor of 234 and 4797. 117 What is the greatest common divisor of 737 and 201? 67 Calculate the greatest common factor of 132 and 15807. 33 What is the highest common divisor of 11 and 913? 11 Calculate the greatest common divisor of 220 and 5830. 110 What is the greatest common divisor of 1107 and 2829? 123 Calculate the greatest common divisor of 50 and 2. 2 What is the highest common factor of 156 and 12? 12 What is the greatest common divisor of 34 and 8857? 17 What is the highest common factor of 31305 and 15? 15 What is the highest common factor of 165 and 99? 33 What is the greatest common factor of 742 and 530? 106 What is the highest common divisor of 180 and 150? 30 What is the greatest common factor of 16023 and 294? 147 Calculate the highest common factor of 714 and 1239. 21 Calculate the greatest common factor of 1331 and 11. 11 What is the highest common factor of 8 and 4260? 4 What is the highest common divisor of 24563 and 203? 203 What is the highest common factor of 14668 and 19? 19 Calculate the highest common factor of 6880 and 64. 32 Calculate the greatest common divisor of 258 and 18. 6 What is the greatest common factor of 672 and 1533? 21 What is the greatest common divisor of 502 and 7781? 251 Calculate the greatest common factor of 11165 and 609. 203 Calculate the highest common divisor of 2565 and 190. 95 What is the greatest common factor of 20 and 796? 4 Calculate the greatest common factor of 76470 and 30. 30 Calculate the greatest common divisor of 1508 and 232. 116 Calculate the highest common factor of 814 and 74. 74 Calculate the highest common divisor of 300 and 36. 12 What is the highest common factor of 2524 and 4? 4 Calculate the greatest common divisor of 15688 and 2968. 424 What is the highest common divisor of 147 and 1008? 21 What is the highest common divisor of 540 and 3132? 108 What is the highest common factor of 22 and 56199? 11 Calculate the greatest common divisor of 1682 and 406. 58 Calculate the greatest common divisor of 936 and 144. 72 Calculate the greatest common factor of 256 and 2. 2 What is the highest common divisor of 364 and 130? 26 Calculate the greatest common divisor of 16 and 1080. 8 What is the greatest common divisor of 30 and 10? 10 What is the highest common factor of 520 and 3510? 130 What is the highest common factor of 42 and 28? 14 Calculate the highest common factor of 6 and 372. 6 Calculate the highest common factor of 460 and 2540. 20 What is the highest common divisor of 5330 and 78? 26 What is the highest common divisor of 7441 and 7? 7 What is the highest common factor of 20 and 125? 5 What is the greatest common factor of 32 and 12? 4 What is the greatest common divisor of 140 and 30? 10 What is the highest common factor of 9 and 32517? 9 What is the greatest common divisor of 430 and 620? 10 What is the greatest common divisor of 14 and 518? 14 Calculate the highest common divisor of 405 and 783. 27 Calculate the highest common factor of 46 and 2. 2 Calculate the highest common divisor of 156 and 1176. 12 What is the highest common factor of 8802 and 108? 54 What is the highest common factor of 6 and 1002? 6 What is the highest common factor of 68 and 187? 17 Calculate the greatest common factor of 175 and 8400. 175 What is the greatest common factor of 286 and 77? 11 Calculate the greatest common divisor of 492 and 12. 12 Calculate the highest common divisor of 22 and 1342. 22 Calculate the greatest common divisor of 20 and 370. 10 What is the highest common divisor of 56 and 77? 7 What is the greatest common factor of 44 and 319? 11 Calculate the highest common divisor of 144 and 3696. 48 Calculate the greatest common factor of 120 and 1620. 60 What is the greatest common divisor of 286 and 11? 11 What is the greatest common divisor of 4044 and 24? 12 Calculate the greatest common divisor of 165 and 55. 55 What is the highest common divisor of 3950 and 474? 158 What is the greatest common factor of 56 and 3? 1 What is the highest common divisor of 416 and 78? 26 Calculate the highest common factor of 23 and 46. 23
{ "pile_set_name": "DM Mathematics" }
6 -535203054 What is -55783 (base 13) in base 9? -255651 What is -2751560 (base 9) in base 15? -1ec713 What is 101000110011010 (base 2) in base 15? 62ca -1102513 (base 10) to base 4 -10031022301 What is -5260f5 (base 16) in base 12? -1984359 Convert -682a93 (base 11) to base 14. -204400 3471d (base 14) to base 5 13040443 Convert c23859 (base 14) to base 3. 110022022000102 What is -120015 (base 11) in base 12? -921a5 What is -420586 (base 9) in base 16? -3cfc9 2a32a86 (base 12) to base 14 11bd98a What is 39e82 (base 15) in base 16? 2d4b2 What is 203523541 (base 6) in base 8? 15405025 -95a70 (base 15) to base 2 -1110011111011100111 What is -4510431 (base 6) in base 10? -226963 -2023440010 (base 5) to base 4 -33232323130 What is 8535 (base 11) in base 16? 2c1b 1359330 (base 11) to base 13 63c2b8 -1032032301 (base 4) to base 13 -b2b09 Convert 110110111001011101 (base 2) to base 16. 36e5d Convert -243112120 (base 6) to base 9. -8634083 What is -121010102 (base 4) in base 11? -70160 What is 548787 (base 12) in base 14? 26d11d 1a8416 (base 11) to base 2 1001101110010010010 76870 (base 13) to base 6 4333144 What is 230073 (base 8) in base 16? 1303b Convert -110100000010010011 (base 2) to base 14. -57963 What is -1098 (base 13) in base 4? -210102 What is -77375 (base 12) in base 3? -22000102022 What is -2289b4 (base 15) in base 6? -55203054 Convert -358611 (base 9) to base 14. -58b68 What is 476a1 (base 11) in base 3? 10111021010 Convert -1002013023 (base 4) to base 9. -452413 -303460 (base 7) to base 13 -1a6b0 33448 (base 13) to base 8 265522 Convert 1412a4 (base 11) to base 5. 24040202 Convert 4031311 (base 6) to base 13. 68b33 Convert -7333a (base 16) to base 12. -1a90a2 132130022 (base 4) to base 15 26e22 What is -222002001101110 (base 3) in base 15? -133b063 256574 (base 13) to base 12 374675 What is -13043301 (base 5) in base 15? -27da1 86635 (base 9) to base 15 12005 -57099 (base 12) to base 13 -4099b What is -200423423 (base 5) in base 14? -169c88 Convert -20505031 (base 7) to base 10. -1732858 What is 617025 (base 8) in base 4? 301320111 What is -269c5 (base 13) in base 12? -357aa cd177 (base 16) to base 4 3031011313 What is -21031221222 (base 4) in base 10? -2415210 1087471 (base 9) to base 5 122330140 -3330320120 (base 4) to base 3 -1221121211222 What is 1632311 (base 9) in base 5? 213012004 What is -113100113011 (base 4) in base 8? -27202705 10202020210 (base 3) to base 9 122223 Convert -120153033 (base 6) to base 16. -22664d 2011112211 (base 3) to base 4 22122322 What is -143444213 (base 5) in base 9? -1386130 -4b137 (base 13) to base 15 -2b11b -3912426 (base 10) to base 8 -16731352 3244432 (base 5) to base 15 119e7 -36d8b3 (base 16) to base 13 -98b09a Convert -9933f9 (base 16) to base 8. -46231771 What is -a8778 (base 14) in base 6? -12422554 -10000000001011 (base 2) to base 4 -2000023 100110102201 (base 3) to base 5 21424321 -112012221000020 (base 3) to base 9 -15187006 20022012021 (base 3) to base 13 44620 What is -9d3c61 (base 15) in base 7? -120536452 Convert -70e1b (base 16) to base 9. -774216 Convert -421124 (base 6) to base 4. -20102230 -111220211000022 (base 3) to base 15 -9b1b4b -2ba14 (base 14) to base 12 -530aa What is 567122a (base 11) in base 9? 20611836 -13020210 (base 5) to base 8 -366541 1002102 (base 6) to base 14 13262 What is -10202221212011 (base 3) in base 16? -1e9f31 What is -2a133 (base 16) in base 6? -3405511 -7b6a5 (base 16) to base 5 -112134014 2a501 (base 15) to base 10 136126 What is -a4a1c (base 13) in base 16? -484b1 Convert 66083 (base 14) to base 15. 4d31a What is 102851 (base 12) in base 2? 111101111000111101 -39612 (base 15) to base 11 -115a55 What is 364b14 (base 12) in base 3? 1122200100021 What is 46495a (base 15) in base 16? 3338bc -257674 (base 8) to base 7 -523343 Convert -513204211 (base 6) to base 5. -4230200404 What is -545882 (base 16) in base 13? -11b7024 -102020221100012 (base 3) to base 7 -101564315 1084cc (base 14) to base 5 120420430 413b4 (base 12) to base 6 1454344 What is -101100011100111001001 (base 2) in base 10? -1456585 Convert -222635345 (base 7) to base 9. -27388532 Convert -107323 (base 10) to base 4. -122030323 4240313 (base 9) to base 16 22a499 -74755a (base 11) to base 7 -13110420 Convert -58906c (base 14) to base 10. -3021240 Convert -19516 (base 12) to base 13. -13b12 What is -2bd689 (base 14) in base 5? -343111233 Convert 10101110111000100 (base 2) to base 11. 61300 What is -101010000011011010 (base 2) in base 16? -2a0da What is 200330302 (base 5) in base 11? 4a1525 301002331 (base 4) to base 15 3e7cd 223aa32 (base 11) to base 4 32331323312 Convert -1255125 (base 11) to base 7. -24322143 What is -10204302133 (base 5) in base 3? -201222111120220 Convert 1220221012 (base 3) to base 16. 93e3 Convert 365704 (base 9) to base 14. 5a625 -4433342 (base 6) to base 16 -364be 25114011 (base 7) to base 2 1000100110110000101111 24543031 (base 6) to base 7 6503533 Convert -11102101220020 (base 3) to base 5. -1100201341 What is -66262 (base 10) in base 3? -10100220011 4c4ec (base 16) to base 3 120212202011 What is -11210312313 (base 4) in base 6? -51155023 Convert -3822404 (base 9) to base 8. -7741527 What is 205135232 (base 6) in base 15? 4b33b8 Convert -20525233 (base 6) to base 9. -1117443 -128277 (base 13) to base 2 -1101100111111011011 What is 4667 (base 10) in base 6? 33335 What is 5324651 (base 7) in base 8? 2354062 What is 1101100101100001010 (base 2) in base 9? 747620 What is -331324014 (base 5) in base 11? -899706 Convert 133122104 (base 6) to base 2. 1010001011111010011000 1102406 (base 7) to base 5 13312334 Convert -24020 (base 12) to base 6. -1012040 Convert -10320134 (base 5) to base 3. -11111210200 4691400 (base 10) to base 6 244315240 -373170 (base 10) to base 6 -11555350 What is 2124213420 (base 5) in base 14? 85a465 5038728 (base 9) to base 16 28f1b1 What is 10727 (base 11) in base 16? 3c9d What is -8ec04 (base 16) in base 13? -1761a7 What is -10515252 (base 7) in base 9? -1638713 What is 18030223 (base 9) in base 11? 512474a What is 1211040 (base 5) in base 15? 6a9a 13322033 (base 6) to base 12 196319 Convert -55408 (base 10) to base 11. -386a1 34421232 (base 5) to base 15 62162 128573 (base 9) to base 12 394b6 Convert 4011118 (base 10) to base 3. 21112210012221 What is 1223225 (base 6) in base 16? 10001 What is 136695 (base 10) in base 4? 201113313 Convert -4467261 (base 8) to base 14. -236329 1437192 (base 12) to base 7 46321460 What is -304c9 (base 13) in base 7? -510154 Convert -88a04 (base 12) to base 5. -21244111 11210010231 (base 4) to base 9 2662580 What is 110100001001001010 (base 2) in base 4? 310021022 -3000242232 (base 5) to base 7 -100611106 2aeec (base 15) to base 4 201302010 -53625b (base 13) to base 4 -13131132200 -9790b3 (base 14) to base 11 -2997428 Convert -11011001110010000 (base 2) to base 8. -331620 Convert -201310302 (base 4) to base 16. -21d32 What is -32277 (base 13) in base 16? -16191 4737336 (base 8) to base 15 1a864b Convert -22315 (base 9) to base 4. -3213311 What is 2281158 (base 9) in base 14? 241b87 Convert 5c451 (base 14) to base 4. 313021013 Convert -224051 (base 6) to base 7. -106336 What is 24b07 (base 16) in base 4? 210230013 What is 546ae (base 15) in base 16? 4176b Convert -373239 (base 11) to base 7. -5004606 What is -120452433 (base 6) in base 3? -11021201101010 -8788352 (base 9) to base 4 -102001030121 Convert -30431133 (base 5) to base 2. -111100110001010110 What is 10100011101111011000100 (base 2) in base 6? 311000004 Convert -6400406 (base 7) to base 6. -24324112 730757 (base 8) to base 16 3b1ef What is -4275 (base 10) in base 6? -31443 Convert -11100100111101000 (base 2) to base 12. -57a08 Convert 255400132 (base 6) to base 2. 10011001010011001111000 Convert -159917c (base 13) to base 14. -cd2812 What is -1a184 (base 11) in base 15? -8529 What is 103a5 (base 13) in base 12? 14a97 What is 213525 (base 6) in base 12? a2a5 What is 583613 (base 9) in base 12? 14a956 262576 (base 9) to base 10 159396 -1001000111010001100 (base 2) to base 11 -194408 158e9 (base 15) to base 11 4825a What is -11231333020 (base 4) in base 9? -2734314 Convert b312 (base 15) to base 16. 93b9 Convert -2112002001 (base 3) to base 16. -c1db What is 20
{ "pile_set_name": "DM Mathematics" }
1418, 2233, 3232? 92*y**2 - 13*y - 2 What is the x'th term of -8, -1, 12, 31, 56? 3*x**2 - 2*x - 9 What is the d'th term of 332, 330, 326, 320? -d**2 + d + 332 What is the o'th term of -19, -25, -31, -37? -6*o - 13 What is the n'th term of -173, -159, -131, -83, -9? n**3 + n**2 + 4*n - 179 What is the b'th term of 216, 836, 1870, 3318, 5180, 7456, 10146? 207*b**2 - b + 10 What is the p'th term of 6739, 6749, 6771, 6811, 6875, 6969? p**3 + 3*p + 6735 What is the o'th term of -466, -468, -470, -472, -474? -2*o - 464 What is the m'th term of -16040, -32077, -48116, -64157, -80200? -m**2 - 16034*m - 5 What is the n'th term of -11, -56, -139, -272, -467, -736, -1091? -2*n**3 - 7*n**2 - 10*n + 8 What is the t'th term of -74, -211, -346, -479, -610? t**2 - 140*t + 65 What is the j'th term of -51, -152, -253, -354? -101*j + 50 What is the t'th term of -150, -133, -90, -9, 122, 315? 2*t**3 + t**2 - 153 What is the s'th term of -13, 8, 53, 134, 263, 452, 713? 2*s**3 + 7*s - 22 What is the b'th term of 36, 70, 104, 138, 172? 34*b + 2 What is the d'th term of 7, 26, 45, 64, 83, 102? 19*d - 12 What is the p'th term of -189, -274, -375, -498, -649, -834? -p**3 - 2*p**2 - 72*p - 114 What is the q'th term of 74, 140, 204, 266? -q**2 + 69*q + 6 What is the l'th term of 80979, 80983, 80989, 80997, 81007? l**2 + l + 80977 What is the g'th term of 14, 6, -4, -16, -30, -46, -64? -g**2 - 5*g + 20 What is the i'th term of -15520, -31039, -46556, -62071, -77584, -93095, -108604? i**2 - 15522*i + 1 What is the a'th term of -50, -65, -92, -131, -182? -6*a**2 + 3*a - 47 What is the g'th term of -38, -74, -110, -146, -182? -36*g - 2 What is the p'th term of -7, -10, -15, -22, -31, -42? -p**2 - 6 What is the f'th term of -261, -248, -235, -222, -209? 13*f - 274 What is the m'th term of 104, 79, 40, -19, -104? -m**3 - m**2 - 15*m + 121 What is the i'th term of -29, -98, -207, -356, -545, -774? -20*i**2 - 9*i What is the z'th term of -23314, -23313, -23312, -23311? z - 23315 What is the j'th term of -37447, -74895, -112343? -37448*j + 1 What is the z'th term of -8, -2, 6, 16, 28, 42, 58? z**2 + 3*z - 12 What is the b'th term of -874, -873, -872? b - 875 What is the f'th term of 18, 18, -6, -66, -174, -342? -2*f**3 + 14*f + 6 What is the a'th term of 39, 47, 67, 105, 167, 259, 387? a**3 + a + 37 What is the i'th term of -66, -69, -80, -105, -150, -221, -324, -465? -i**3 + 2*i**2 - 2*i - 65 What is the j'th term of -560, -568, -582, -602, -628? -3*j**2 + j - 558 What is the p'th term of 1039, 1041, 1045, 1051, 1059, 1069, 1081? p**2 - p + 1039 What is the p'th term of -27, -41, -63, -93, -131, -177, -231? -4*p**2 - 2*p - 21 What is the a'th term of -153, -140, -113, -66, 7? a**3 + a**2 + 3*a - 158 What is the b'th term of 26, 41, 30, -19, -118, -279, -514? -2*b**3 - b**2 + 32*b - 3 What is the r'th term of -8705, -17411, -26117, -34823, -43529? -8706*r + 1 What is the n'th term of 1790, 3581, 5368, 7151, 8930? -2*n**2 + 1797*n - 5 What is the d'th term of 280, 287, 294, 301, 308, 315? 7*d + 273 What is the b'th term of 64, 63, 58, 49? -2*b**2 + 5*b + 61 What is the c'th term of 19, 36, 53, 70? 17*c + 2 What is the f'th term of 4493, 4495, 4497, 4499, 4501, 4503? 2*f + 4491 What is the c'th term of -22, -51, -92, -145, -210? -6*c**2 - 11*c - 5 What is the y'th term of -32, -226, -544, -980, -1528, -2182? y**3 - 68*y**2 + 3*y + 32 What is the j'th term of -1691, -3401, -5125, -6869, -8639? -j**3 - j**2 - 1700*j + 11 What is the u'th term of -21, -18, -11, 0, 15, 34, 57? 2*u**2 - 3*u - 20 What is the c'th term of 14, 8, 12, 32, 74, 144, 248, 392? c**3 - c**2 - 10*c + 24 What is the u'th term of 4, 11, 20, 31, 44, 59? u**2 + 4*u - 1 What is the n'th term of 560, 537, 500, 449, 384, 305? -7*n**2 - 2*n + 569 What is the d'th term of -176, -395, -614, -833, -1052, -1271? -219*d + 43 What is the w'th term of -87, -90, -91, -90, -87, -82, -75? w**2 - 6*w - 82 What is the b'th term of -2756, -5516, -8276? -2760*b + 4 What is the k'th term of -258, -263, -270, -279, -290? -k**2 - 2*k - 255 What is the g'th term of -3091, -3078, -3065, -3052? 13*g - 3104 What is the y'th term of 12, 22, 42, 72, 112, 162? 5*y**2 - 5*y + 12 What is the c'th term of 66, 67, 70, 75, 82, 91? c**2 - 2*c + 67 What is the b'th term of 178, 624, 1360, 2380, 3678? -b**3 + 151*b**2 + 28 What is the g'th term of -98, -96, -90, -80, -66, -48? 2*g**2 - 4*g - 96 What is the h'th term of -3564, -3566, -3568, -3570, -3572? -2*h - 3562 What is the g'th term of -537, -539, -557, -597, -665, -767, -909, -1097? -g**3 - 2*g**2 + 11*g - 545 What is the p'th term of 31, 63, 95, 127? 32*p - 1 What is the r'th term of 412, 420, 428, 436? 8*r + 404 What is the l'th term of 12, 11, 10, 9, 8? -l + 13 What is the o'th term of -56, -102, -140, -170, -192? 4*o**2 - 58*o - 2 What is the b'th term of 2, 4, 16, 44, 94, 172, 284? b**3 - b**2 - 2*b + 4 What is the k'th term of 34, -20, -86, -170, -278, -416, -590, -806? -k**3 - 47*k + 82 What is the z'th term of -49, -105, -175, -265, -381, -529, -715, -945? -z**3 - z**2 - 46*z - 1 What is the g'th term of -269, -541, -815, -1091, -1369? -g**2 - 269*g + 1 What is the p'th term of -214, -270, -326, -382, -438, -494? -56*p - 158 What is the r'th term of 72, 138, 192, 228, 240, 222, 168, 72? -r**3 + 73*r What is the r'th term of 8, 12, 16, 20? 4*r + 4 What is the m'th term of -17, -18, -9, 16, 63, 138, 247, 396? m**3 - m**2 - 5*m - 12 What is the z'th term of 2440, 4880, 7320? 2440*z What is the h'th term of -75, -79, -83, -87, -91? -4*h - 71 What is the p'th term of -10, 2, 24, 56, 98, 150? 5*p**2 - 3*p - 12 What is the s'th term of -111, -17, 139, 357, 637, 979? 31*s**2 + s - 143 What is the p'th term of -84, -144, -304, -612, -1116, -1864, -2904? -8*p**3 - 2*p**2 + 2*p - 76 What is the z'th term of 81, 149, 191, 195, 149? -2*z**3 - z**2 + 85*z - 1 What is the l'th term of -21, 100, 221, 342? 121*l - 142 What is the k'th term of 20, -100, -294, -556, -880, -1260, -1690? k**3 - 43*k**2 + 2*k + 60 What is the j'th term of 146, 288, 432, 578? j**2 + 139*j + 6 What is the s'th term of 179, 359, 539? 180*s - 1 What is the g'th term of -93, -53, 21, 135, 295, 507, 777, 1111? g**3 + 11*g**2 - 105 What is the j'th term of -120, -241, -360, -477, -592? j**2 - 124*j + 3 What is the n'th term of 1290, 1293, 1296, 1299, 1302, 1305? 3*n + 1287 What is the v'th term of -53, -146, -239, -332, -425? -93*v + 40 What is the x'th term of -1, 31, 93, 191, 331, 519? x**3 + 9*x**2 - 2*x - 9 What is the j'th term of -6478, -6480, -6482? -2*j - 6476 What is the w'th term of 9, 61, 147, 267, 421? 17*w**2 + w - 9 What is the q'th term of -9155, -9149, -9131, -9095, -9035, -8945? q**3 - q - 9155 What is the j'th term of -1860, -3721, -5582, -7443, -9304? -1861*j + 1 What is the j'th term of -123, -129, -139, -153, -171? -2*j**2 - 121 What is the r'th term of 2939, 2938, 2937? -r + 2940 What is the m'th term of 37, 63, 85, 103, 117? -2*m**2 + 32*m + 7 What is the f'th term of 3, 11, 19, 27, 35? 8*f - 5 What is the h'th term of -536, -1087, -1638, -2189, -2740? -551*h + 15 What is the a'th term of -220, -219, -218? a - 221 What is the k'th term of -62, -49, -24, 13, 62, 123, 196? 6*k**2 - 5*k - 63 What is the b'th term of 148, 151, 156, 163, 172? b**2 + 147 What is the v'th term of 36, 15, -14, -51, -96, -149, -210? -4*v**2 - 9*v + 49 What is the p'th term of 52, 115, 190, 283, 400, 547, 730? p**3 + 56*p - 5 What is the a'th term of -2, -15, -38, -71? -5*a**2 + 2*a + 1 What is the r'th term of -220, -225, -234, -247, -264? -2*r**2 + r - 219 What is the x'th term of 14, 36, 84, 170, 306? 2*x**3 + x**2 + 5*x + 6 What is the s'th term of 15, 8, 1, -6? -7*s + 22 What is the b'th term of 266, 272, 274, 272? -2*b**2 + 12*b + 256 What is the v'th term of 329, 623, 917, 1211? 294*v + 35 What is the l'th term of 47, 210, 483, 866, 1359? 55*l**2 - 2*l - 6 What is the b'th term of 1801, 1798, 1795, 1792? -3*b + 1804 What is the y'th term of -239, -468, -697? -229*y - 10 What is the y'th term of 4809, 4810, 4811, 4812, 4813, 4814? y + 4808 What is the w'th term of 37, 140, 313, 556, 869? 35*w**2 - 2*w + 4 What is the n'th term of -148, -200, -270, -346, -416, -468? 2*n**3 - 21*n**2 - 3*n - 126 What is the m'th term of 3375, 3
{ "pile_set_name": "DM Mathematics" }
/(-10) - (-2)/n. Solve -5*v + 2*v = -2*m - 11, -5*m + 3*v - 23 = c for m. -4 Let o(p) = -p + 7. Let d be o(6). Let x be (-5)/3*(-3)/d. Solve -t - 2*f = 2, 0*t + t + x*f - 1 = 0 for t. -4 Let w be (10 + -2)*(-2)/(-4). Suppose 0 = z + w*t - t - 14, 0 = z - 2*t + 6. Let i(r) = r**2. Let v be i(2). Solve -20 = -z*c - 5*q - 5, q = v*c - 19 for c. 5 Suppose 0 = -4*q - 13 - 19. Let s(u) = u**2 + 9*u + 8. Let z be s(q). Let n be z + -2 + 2 + 2. Solve 5*g + 1 = a + 2*a, 5*a = n*g - 11 for g. -2 Suppose 1 = -2*v - 3*j + 10, -2*v + 3*j - 9 = 0. Solve m = 3*n - 4, 3*m = -v*n - n + 18 for m. 5 Let i(q) = 7*q**2 - 17*q - 5. Let n(h) = -11*h**2 + 26*h + 8. Let l(w) = 8*i(w) + 5*n(w). Let o be l(6). Solve 0 = -4*v + 4 + 4, o = -5*g + 4*v + 12 for g. 4 Suppose 0 = -2*i + 3*i. Suppose -x - 2 = 0, i = h + 5*x - 4*x - 3. Solve 5*v + 25 = -t, h*t - 4*v - 20 = 2*t for t. 0 Let n = 0 - -5. Solve 3*f = 5*d - 15 + n, -5 = d - 2*f for d. 5 Suppose -y + 28 = 3*o, 6*y + 20 = 2*y. Solve -4 = 3*g + j, -3*g - 3*j - j = -o for g. -3 Suppose 64 = -p + 5*p. Let t(v) = v. Let b be t(4). Solve 3*o + p = 4*f, -8 = 3*o + 2*f - b*f for o. 0 Let t = 6 - 4. Let c be 1/(t/(-2)) + 10. Solve -f = -5*j + c, j - 5*j - 16 = 5*f for j. 1 Let s be 32/18 - 2/(-9). Solve s*m - 2*r = -8, -3*r = 2*m + 2*m + 2 for m. -2 Let v(i) = 2*i**3 + i**2 + 2*i + 3. Let p be v(-2). Let u = 6 + p. Let x = u + 10. Solve x*k = q + 3, -2*q = -0*k + 3*k - 3 for k. 1 Let s(t) = t**3 + 5*t**2 + 1. Let a be s(-5). Let w = 0 + 5. Let b = w - a. Solve 3*g = 2*y + 13, -b*y = -6*g + g + 23 for g. 3 Let i(w) = -w**3 + 4*w**2 - 3*w + 3. Let o be i(3). Suppose -5*t = -2*t + o. Let h = 1 - t. Solve 0 = -h*z - n - 1, -4*n + 4 = 4*z - 4 for z. -3 Let x be 24/14 + 6/21. Solve x*h + q + 2 + 1 = 0, -2*h + 27 = -5*q for h. 1 Suppose -i = -6*i + 30. Suppose i*k - 50 = k. Solve -2*j + k = -2*w, 2*j + 0*w = 5*w + 16 for j. 3 Let s = 7 + -4. Let x(u) = -u**2 - 8*u - 5. Let a be x(-7). Suppose -a*p + s*p - 3 = 0. Solve f = 4*w + p, -5*f - 2 = -3*w - 0*w for f. -1 Let t be (576/(-30))/8*5/(-1). Solve 5*k = -15, -k = -5*j - t - 10 for j. -5 Let a be (2 - 0 - -1) + -1. Suppose 0 = a*y - 4 - 36. Solve 0 = -4*u + 3*x - y, 6*x - x + 15 = -3*u for u. -5 Let v(d) = d + 3. Let c be v(5). Let y = c - 4. Solve 0 = y*p - 4*i + 32, 8 = -2*p + 5*p + 5*i for p. -4 Let i = -23 + 26. Solve i*a - 4*n = 5*a - 2, 2*n = -4*a + 10 for a. 3 Let r(s) = -s**3 - 5*s**2 - 2*s - 6. Let d be r(-5). Suppose 0 - d = -2*n. Solve m = -4*i - 8 - 0, 2 = -n*i - m for i. -3 Suppose p - 2*a = -3, 2*a + 3 + 0 = 3*p. Solve -3*d - 3*s - p = 0, -7*d = -3*d + 3*s + 6 for d. -3 Suppose 45 = 5*w - 0*w + 3*n, -4*w + 14 = -2*n. Suppose -5*t - 2*s + 6*s + 27 = 0, -3*s = t + w. Solve -t*a = -2*h - 7, -3*h - 1 - 2 = -2*a for a. 3 Let q = 13 - 21. Let k be (q/(-2))/(4 + -2). Solve k*p - 2*c = 6, -1 = 4*p + c + 12 for p. -2 Let t be (-9)/(-2)*(-8)/(-6). Suppose 0 = -3*c + t*c - 3. Suppose 11 = -h - 3*x, -x = 2*h - h + c. Solve -2*s - 4*a = 0, 3*a = -h + 1 for s. 2 Let r = 3 + -11. Let i be (r/3)/4*-6. Solve 3*a - 2*q - 11 - 9 = 0, -4*a = 3*q - i for a. 4 Let j(d) = 5*d**2 - 2*d - 3. Let i be j(-1). Solve -36 = -4*u + 5*b, 0 + i = -3*u - 4*b for u. 4 Suppose -11*c + 18 = -8*c. Solve 3*g - 2*d = 7, 2*d + c = 2*g - 0 for g. 1 Suppose 0 = -2*z + 5*z - 4*k + 12, 0 = z - 4*k + 12. Solve 4*l + s - 15 = -4, z = -3*l - 4*s + 5 for l. 3 Let p(g) = g**2. Let a be p(0). Solve 3*h = 2*q - 16, 5*q + 2*h + 3*h - 15 = a for q. 5 Suppose 0 = -2*i - 3*i - 2*x + 21, 3*x - 12 = -i. Solve -2*s = 2*u - 0*s, 0 = -5*u + i*s + 8 for u. 1 Let p(j) = 3*j**2 + 4*j + 1. Let o(q) = -4*q**2 - 3*q. Let l(i) = -2*o(i) - 3*p(i). Let a be l(-5). Solve x - a = 4*b - 15, -2*b + 23 = 5*x for x. 3 Suppose l = z - 5, z - 3*z = -l - 10. Solve -3*i + 2*v - 6*v - 7 = l, -i + v + 7 = 0 for i. 3 Let n(j) be the third derivative of -j**5/60 - 5*j**4/24 + j**3/6 + j**2. Suppose 4*x = 3*x - 4. Let d be n(x). Solve -5*m + 30 = 5*p - 0*m, -d*p = -5*m for p. 3 Suppose 7*s = 4*s + 6. Solve 3*a + 13 = -2*m, s*a - m + 5 = 1 for a. -3 Let t(r) = r**2 - 3*r + 1. Let z be t(4). Let y = -24 + 34. Suppose z + y = 3*l. Solve -k + 7 = -5*v, 2*v + 0*v = l*k - 12 for k. 2 Let p be -4 + 11 + -1 + 5. Solve 2*t = 5*w - 6 - p, 2*t = w - 5 for w. 3 Let r = -11 - -15. Solve -6*k + r*g = -4*k - 16, -5*g = 25 for k. -2 Suppose -3*i + 4 = i. Suppose -4*s - s = -10. Suppose 0 = -z + h - i, 0*z + 4*h = -s*z + 28. Solve -l - 2*l = 6, z*f + 14 = -5*l for f. -1 Suppose -4*r - c = -0*r - 8, 5*c + 11 = -3*r. Solve 3*m - 9 = 5*f, r = 3*f + 3*m - 2*m for f. 0 Let u(t) = -t**2 - 4*t + 2. Let o be u(-4). Let c = 5 - o. Solve -3*a = l - c, 0 = -5*l - 0*l - 5*a + 15 for l. 3 Suppose -3*o = 6, 43 = 4*h - 3*o + 13. Solve -4*c = 5*r - 8*c - h, 7 = 2*r + 3*c for r. 2 Let r = 50 - 33. Solve -5*i = 5*p + 25, 2*p + 5*i + r = p for p. -2 Let r be (6/(-4))/(2/4). Let v = -1 - r. Let c(l) = -l**2 + 7*l - 6. Let j be c(5). Solve 3*k = -v*m + 18, 15 = 4*m + j*k - 13 for m. 3 Let q be (-1 - (-1)/2)/((-2)/8). Solve 0 = 5*m + 3*c - 5, -5 = 3*c - q*c for m. 4 Let s be ((-8)/5)/((-1)/10). Let q(d) = -d**2 - 6*d + 4. Let u be q(-6). Suppose -u*f = -0*f - s. Solve 5 = -2*h - f*p + 25, 3*h - 6 = 2*p for h. 4 Suppose -5*a - 5 = 5*q, -2*q = -q - a - 7. Suppose 8 = t - q*v, -5*v + v = 4*t. Solve t*d = -2*x - 6, 6*x + 5 = 3*x - 5*d for x. -5 Suppose -4 = -2*t + 6. Suppose 5*v = 9 + 6. Solve 5*b = v*g - 12, t*b + 26 = -g + 10 for g. -1 Let t = 133 - 130. Solve -4*z - 8 = -2*z - 3*o, -4*z = -t*o + 4 for z. 2 Suppose 3*i + i = -24. Let d = i - -6. Let o = 5 + -1. Solve -4*x - g - 9 = d, -5*x = -x - o*g + 4 for x. -2 Suppose -13 + 43 = 6*p. Solve -5*f + o = 6, p*f = -3*o - 0*o - 2 for f. -1 Let q(p) = p - 6. Let y be q(8). Let n be (-1 - -1 - 1)*-17. Solve 5*o + 11 = -y*t + 3*t, 3*o + n = -2*t for o. -3 Suppose -v + 18 = -4*v. Let f(k) = k + 11. Let t be f(v). Solve -4*y + 2*z = t - 15, -3*y = 2*z + 3 for y. 1 Let h = -10 + 12. Solve 2*l + q + 1 = 0, h*l = l - 4*q + 17 for l. -3 Let c = 26 + -23. Solve 3 = 3*s - 3*w - 0, -2*s + c*w + 6 = 0 for s. -3 Let v(n) = -n - 9. Let c be v(-5). Let r = c - -6. Let p be 9 - (r + 0 + -1). Solve -p - 4 = -3*f, 5*a + 4*f = 1 for a. -3 Let d = 1 + 1. Suppose 0 = d*f - 7 + 1. Solve 3*m + 2*g = 19, -2*m - f*g - 9 = -6*g for m. 3 Suppose 3*s = 4*s + 2. Let f(r) = r**3 + 3*r**2 - 2. Let g be f(s). Solve -v - 3*b = b - 13, 5*v + 1 = g*b for v. 1 Let n be 4/2*(-3)/(-6). Let o be (n - 0) + 3 + 29. Solve -q + 5*c + o = -3*q, 2*q - 2 = 2*c for q. -4 Let r be (-2)/(-9)*-6*-12. Solve r = 2*b + 5*i, -3*i = -2*b + i - 20 for b. -2 Suppose -6*d = -2*d - 20. Let o = -1 + d. Solve 3 = 4*x + h - 1, -4*x + 5*h + o = 0 for x. 1 Suppose -10 = -b - 4*b. Let t be ((0 - -1) + 2)/1. Suppose 1 = t*z - 5. Solve -z*f = -2*x + 2, -3*f + b*x + 0 - 2 = 0 for f. 0 Suppose 4*l + 12 = -4*q, 4*l - 2*q - 20 = -l. Solve 2*u + 0*i = -l*i - 4, 2*u + 1 = -i for u. 1 Let q = 10 - 1. Let s = 12 - q. Solve -4*f - s*k + 24 = -7*k, 4*k = -4 for f. 5 Let w = -52 + 77. Let v(f) = -f**3 + 9*f**2 + 9*f + 14. Let g be v(10). Suppose 0 = -y + 5, -5*y + w = -g*j + 8*j. Solve l = -5*o - 25, 4*l + l = j for o. -5 Suppose -2*t + 15 = 3*t. Let u be ((-28)/16)/(t/(-24)). Let b(p) = -2*p - 7. Let s be b(-6). Solve 0 = o - v - 7, v = s*o - u - 13 for o. 5 Suppose 2 = q + q. Suppose 5*y = -q + 6. Solve 3*d - y = 8*d + 4*b, -5 = -5*b for d. -1 Suppose -9 - 33 = -3*o. Suppose -2*a + 0 + o = 0. Solve 0*f - 3*c + 11 = f, -3*f + c - a = 0 for f. -1 Let q = 36 - 14. Suppose 5*a + q = t, 2*t + a - 4*a = 16. Solve 0 = x + 3*x - r + 20, 0 = -4*x - t*r - 20 for x. -5 Let w(n) = n**2 - 5*n + 7. Let s be w(5). Solve -4*i + 3*k - 5 = 0, -2*i - 14 = -s*i - 3*k for i. 1 Let o = 3 + -1. Suppose -6*u + u = -o*i - 20, 3*i = 3*u - 21. Let x(q) = -10*q + 4. Let z be x(-3). Solve 3*k + j + 18 = 0, -3*k - u*k - z = 3*j for k. -5 Let y = 75 - 66. Solve y = 5*m - p, -5*p = -4*m - 1 + 4 for m. 2 Let a = 5 + -2. Let v(f) = -2*f - 7. Let b be v(-5). Solve 3*d + b + 6 = -3*r, -4*d + 2 = -a*r for r. -2 Let v(f) = f + 13. Let h be v(-8). Let p be 2/(-5) - (-2)/h. Solve -3*u + 2*o + 12 = 0, p*u + 3*u = 3*o + 15 for u. 2 Let n = 2 + 2. Solve 4*w + 24 = -w - n*k, -w = -3*k + 1 for w. -4 Let f(a) = 2*a - 23. Let d be f(13). Solve -36 = 4*g - 4*k,
{ "pile_set_name": "DM Mathematics" }
-n + 4 = 1722*y - 1725*y - 2*n - 1, 2*y + n + 5 = 0 for y. 0 Solve -3*w = -874*g + 841*g - 243, 21 = 4*g + w for g. -4 Solve -42*c + y + 293 = 0, -c + y + 59 = 53 for c. 7 Solve 42*j = 2*g + 72*j - 31*j, 0 = g - 4*j - 7 for g. -1 Solve -4*c - 5*v = -12, 12*c = -116*v + 115*v - 20 for c. -2 Solve f = -4*y + 35, 6*f = 10585*y - 10581*y + 210 for f. 35 Solve 5904*a - 5900*a = 7*b + 66, -a + 31 = -9*b for a. 13 Solve -k = -4*g + 72, 7307*g + 199 = 7318*g - 3*k for g. 17 Solve -7*j + 396795*c - 396796*c - 2 = 0, -5*j - 5*c - 10 = 0 for j. 0 Solve -3*x = y + 68, -y + 50765*x = 50770*x + 116 for y. 4 Solve -4*k = u + 24, 5*k + 56*u - 27*u = 27*u - 30 for k. -6 Solve -4*y + 5*q = 16, 10436*y - 10442*y - 3*q - 24 = 0 for y. -4 Solve -5*p - 14*c - 3 = -17*c, 3*p = 328*c - 328 for p. 0 Solve 9*w + 0*b = 7*w + 6*w - 0*w + 3*b + 32, 0 = 5*w + 4*b + 39 for w. -11 Solve -27*g + 29 = 7*m, 461*g - 3*m = 456*g - 29 for g. -1 Solve 5*o - 83 = -3*v, 5*o + 891 - 1770 = -41*v + 382 for o. -2 Solve -t = 2*d - 4*d + 4, 44*t - 41*t = 92*d - 17*d + 6*d - 312 for d. 4 Solve a - 4*z - 19 = 0, 11646 = 8*a + 4*z + 11494 for a. 19 Solve 2*c = -5*s + 19, -2*c + 2079*s - 2080*s = 3*c - 13 for c. 2 Solve 9*r - 29*t + 34*t - 152 = 0, 94 = -299*r + 297*r + 4*t for r. 3 Solve -v + 644 = -5*t + 608, 15*t + 339 = 14*v for v. 21 Solve -8*g - 27 - 33 = -12*h, h + 35 = 5*g + 66 for g. -6 Solve 5*t = -35*l - 185, 0*l = -7*t + 7*t + 5*t - 3*l - 43 for t. 5 Solve -13596*v + 13598*v = -4*b + 34, 37 = 5*v + 2*b for v. 5 Solve 5*v + 4*r - r = 573 - 501, 4*r = -113*v - 223 for v. -3 Solve -3*p - g = -5*g - 32 + 189, -3*p - 26*g + 113 = -6*p for p. -55 Solve 5*j - y - 33 = 0, 2*y = -4*j - 37522161 + 37522165 for j. 5 Solve 5208*z = 3*l + 5211*z - 135, 0 = 2*l + z - 48 for l. 3 Solve -6365*u = 80*q - 6367*u - 1604, 5*q - 3*u - 106 = 0 for q. 20 Solve -239*s + 235*s = -t - 14, 0 = 128*s - 4*t - 415 - 201 for s. 5 Solve 3*g = -22*l + 805, 4*l + 422*g + 420*g - 157 = 845*g for l. 37 Solve 136 = 2*w - 4*f, 5*w - 8*f + 17827 - 18099 = 0 for w. 0 Solve 15146*d = -i + 15149*d - 36, 4*d + 147 = -3*i for i. -45 Solve 3*h - 17*o + 260 - 321 = 0, 0 = -h + 2*o + 2 for h. -8 Solve 16*f - 15*f = 4*h + 40, 0 = -4*f + 3*h + 43 for f. 4 Solve -15 = -t - 6*l - 7*l + 1, -27*t + 28*t + 2*l - 16 = 0 for t. 16 Solve 4*b + 96 = 9*l, 90*b + 90*b = l + 182*b - 18 for l. 12 Solve b - 26*z = -21*z + 10, 4*z - 355 = -12*b + 2*b - 10*b - 51 for b. 15 Solve -1 = -2065447*o + 2065448*o, 6*o - 17 = -3*i + 2*o for i. 7 Solve -19*z + 16*z - 4 = 11, 0 = -5*f + 889*z - 911*z - 70 for f. 8 Solve 2586 = -7*a - 3*n - 4*n + 4*n + 2026, 0 = a - n + 80 for a. -80 Solve -4*c - 2*w + 10 = 110, 102*c - 106*c = -w + 112 for c. -27 Solve 8*c + c + 4*v + 18 = 6*c, 0 = 3*c + 2*v + 24 for c. -10 Solve -58*t - 65 = -k, 73*k + 74*k + 7 = 5*t + 230*k - 80*k - 9 for t. -1 Solve -3*v = 3*v - 5*v - 12*x, -v + 2*v + 2*x = x for v. 0 Solve -2465*t - 23 = -5*v - 2464*t - 2, 2*v - 4*t = 66 for v. 1 Solve -24 = -5*w - 3*x - 86, -43 = 2*w + 3*x - 20 for w. -13 Solve -4*f + 2*f + 20 = 4*b - 82, 8*f = 12446 - 12454 for b. 26 Solve -3*c = 3*c - 5*c + 3*k + 30, 0 = 2*c + 5*k + 60 for c. -30 Solve 33*g - 26*g - 9*g - 5*q + 4 = 0, -5*g - 3*q = -10 for g. 2 Solve m = -3*l + 2*l + 3*l - 6*l + 14, 2*l + 2*l + 5 = 5*l for m. -6 Solve -450*f - 4*l = -455*f + 47, -2*l - 7 = 3*f for f. 3 Solve -3*x + 23818 = 4*q + 23886, 2*x + 9*q = -134 for x. -4 Solve f + 3 = 1 + 1, -4*f - 2 = 5*o - 4*o for o. 2 Solve 3*j - 29 = -4732*v + 4737*v, 7*j - 41 = 5*v for j. 3 Solve -7476*s + 88 = 16*o - 7481*s, 4*o - 76 = 8*s for o. 3 Solve 4*w + 5*p + 5773 = 5578, w + 3*p = 6*p - 53 for w. -50 Solve -8*j = 2*f - 4*j + 1544 - 765 - 773, -7*f = 4*j + 21 for f. -3 Solve 2*z - 4*m + 35 + 11 = -28, -5*z = -13*m + 8*m + 95 for z. -1 Solve 3*n = -5*z - 1259759 + 1259544, -5*n = -z - 15 for n. -5 Solve -3*i + 0*i - 30 = -5*t, -327*t + 328*t - 4 = i for i. 5 Solve 7*v - 6*j + 93 = 0, -2112*v + 2107*v + 3*j - 42 = 0 for v. 3 Solve -2*g + 5*g - u = -2*u - 6, -u - 270 = 2*g - 268 for g. -4 Solve -4*x + 3*y - 79 = 10 - 1, -20*x - 11*y = -24*x - 280 for x. -4 Solve -131 = -14*x + 3*i, 11841*x - i = 11844*x + 13 for x. 4 Solve 2*b + 154 = -o - 10*b, 2*b - 8477 = -3*o - 8497 for o. 2 Solve -6*m + 9*m - 8*m + 42 = -0*m + 2*u, 0*m - 738*u + 4404 = -4*m for m. 6 Solve -1416*j + 3*i = -1419*j + 21, -4*j - 6*i = -22 for j. 10 Solve i - 4 = 0, 6*a + a = -4*i + 50 - 20 for a. 2 Solve -3*u = 4*u - 2*u - 5*n + 45, -64*n - 6 = -u - 66*n for u. -4 Solve 0 = -108*p + 102*p + 4*f + 636, 3*p + 6*f - 339 = f for p. 108 Solve -5*l = -4*c - 25, -17*c - 65*c + 77*c = 5*l - 25 for c. 0 Solve 16 = 5*q + 4*k, 3*q - 1 - 56 = -5*k - 37 for q. 0 Solve -5*c - 3*y = -22, 4*c + 62*y + 64*y - 132*y + 16 = 0 for c. 2 Solve 105864*a - m = 105877*a - 90, 4*a + 136 = 4*m for a. 4 Solve 3*z + 2*a = 19*a + 52, 5169 - 5131 = 5*z - 4*a for z. 6 Solve -3*w + 10 = 1910177*h - 1910181*h, 0 = 6*w + h - 38 for w. 6 Solve 3*z + 15 = -18*g, 5*g - 3*z = -1696 + 1780 for g. 3 Solve 0 = -z - 0*z + 172*w + 1716, 77*z - 72*z + 2*w + 40 = -0*w for z. -4 Solve 2790*g - 38 = -2*q + 2782*g, 3*g = -4*q + 24 for q. 3 Solve -12*d = -5*d + 4*h + 11, -3*d - h + 0 = -1 for d. 3 Solve 0 = i - 2*x - 8, -4970*i = -4990*i + 3*x + 308 for i. 16 Solve -23*w - 16 = -21*w + j, -4*w + 4*j + 18 = j for w. -3 Solve -12*s - 852 = -3*q, 16*s - 17*s - 71 = -9*q + 4*q for q. 0 Solve 2*z + 226 = 51*y, -227*z = -3*y - 228*z + 1 for y. 4 Solve 21*r + 13*r = -4*f - 27*r + 59*r - 134, -4*f + r = 143 for f. -35 Solve x - 4*d = 38, 4*d + 242 = 222 for x. 18 Solve -49 = -3*t + a, -6851*a + 6832*a = -2*t - 59 for t. 18 Solve 64*m - 2*h = 2*h - 1220, -2*m + 21*h + 2 = 61 for m. -19 Solve -5*o + h = -16, -16*h + 11*h = -o - 16 for o. 4 Solve -6*o + 5*i = -487 + 633, 17*i - 40*i = -24*i - 4 + 8 for o. -21 Solve 0 = 3*y - 32*k + 11, 789*k - 792*k = -3 for y. 7 Solve 0 = l - 3*w - 156, -2*l + 15*w - 602709 + 603498 = 0 for l. -3 Solve -19*d + 34*d - 18*d = -3*t - 21, 5*t + 27 = 3*d for t. -3 Solve 0 = -145*q + 150*q - 11*a - 299, -170 = -q + 4*a + 2*a for q. -4 Solve -4*b + 42528*w - 42531*w - 58 = 0, -34 = 4*b - 9*w for b. -13 Solve -1538*f + 4*z - 48 = -1540*f, f - z = 18 for f. 20 Solve 5*h = 3*a + 242, -a + 148 = -203*h + 402*h - 196*h for a. 1 Solve y - 3*z - 7 = 0, -4*y + 7788 + 7791 - 15585 = 5*z for y. 1 Solve 6*m + 21631*c - 204 = 21627*c, 5*m + 5*c - 245 = 0 for m. 4 Solve -17*u + 65 = 3*b, -11018*b + 11014*b + 36 = 10*u for u. 4 Solve 1292*k - 1257*k = -g + 208, 7*k + 32 = 11*k - 4*g for k. 6 Solve 11*o - 19 = -n, 2*o - 42565*n = -42566*n + 1 for o. 2 Solve -12*x - 13*x - 600 = 3*a, 24 = -19*a + 15*a - x for a. 0 Solve -4*a + 2*h = 246 - 106 - 138, a = -5*h - 28 for a. -3 Solve -6*l - 10 - 222 = 8, -4*b + 3*l - 24 + 160 = 0 for b. 4 Solve 11 = -4*v + r, 2100*v - 2106*v = 3*r - 15 for v. -1 Solve -78*v + 3*r - 81 = -81*v, -2*v - 79*r = -22*r - 1704 for v. -3 Solve -5*w + 344 - 1140 = -2*i - 451, 2*w + 2*i = -w - 207 for w. -69 Solve 5*o - 37 = -2*z, -o = -81*z + 83*z - 57 for o. -5 Solve 4*l - 3*c = -28, 119 + 120 = -2*l + 31*c + 107 for l. -4 Solve 2*o - 514 = -o - 4*v - 412, 4*v - 80 = 8*o for o. 2 Solve 2*v - 11*d + 8*d + 68 = 0, 0 = -7*v + 53*v + 2*d - 647 + 2353 for v. -37 Solve 2*f - 3*h - 65 = 0, -h + 5746 - 5769 = 0 for f. -2 Solve 2*j - 38 = 0, -4*r = -74*j + 73*j + 11 for r. 2 Solve 3*x + 2*x = 2*g - 6, 21*x + 8 = 22*x - 5*g for x. -2 Solve 9*l + 7*l - 4*z = 9*l - 6*z - 8, z + 4 = -4*l for l. 0 Solve -6*y - 8046*s + 8050*s + 238 = 0, -233 = -6*y + 5*s for y. 43 Solve 1678*o - 1666*o - 3*r = -303, 4*r - 488 = -5*o for o. 4 Solve 465*r - 46 = 462*r - f, -3*f = 41*r + 2*f - 646 for r. 16 Solve 2*g + 5*r - 56 = 0, -112 = 32*g + 190*r - 194*r for g. -2 Solve -59*q + n - 176 + 185 = -56*q, -12*q + 30 = -2*n for q. 2 Solve -4*o - 8*v - 6*v = -11*v - 220, 5*o + 154 = 8*o + 5*v for o. 58 Solve 405*j - 409*j + 41*h - 590 = 0, -44 = 4*j - 2*h for j. -4 Solve -9*i + 320863*l - 40 = 320868*l, 5*l = 4*i + 25 for i. -5 Solve 20*b + 327*l = 328*l - 121, 5*l - 17 = 2*b for b. -6 Solve p - 22 = 2*u, 24064*p - 24065*p + 42 = 2*u for u. 5 Solve 0 = -11*v - 4*o + 35, 2 - 14 = -3*v - 2*o - 7 for v. 5 Solve 0 = -4*h - 3*i + 63, 2013*h - 2018*h + 5 = -11*i for h. 12 Solve 14*q - 3096*w
{ "pile_set_name": "DM Mathematics" }
m = 0 for o. 6 Let z(i) = 2 + 21 + i**2 + 23 + 30 - 26*i. Let p be z(23). Solve -p*k = -3*k for k. 0 Let r = 5 - 2. Let a(y) = -y**3 + 32*y**2 - 30*y + 13. Let b be a(31). Let p = 48 - b. Solve -r*d = -p*d + 2 for d. 2 Let h(l) = l**2 - 7*l + 12. Let t be h(3). Suppose t = 8*u - 30*u + 66. Let n = -4 - -6. Solve -n*a + 2 = -u*a for a. -2 Let w = -3516 + 3604. Solve 35*t = w - 228 for t. -4 Let b be 3 + 1/(-2 - -3). Suppose k - 30 = -b*k - 5*u, -k - 2 = -u. Suppose 4*g = -k*s + 6, s = g + 5*s - 12. Solve 2*z + 0*z + 4 = g for z. -2 Suppose 21*s = 12*s + 171. Suppose 4*b - p - 23 = 0, 18*b - s*b - 13 = -4*p. Solve b*l - 11 + 4 = 0 for l. 1 Suppose 10*r - 57 - 123 = 0. Suppose r*c - 26*c + 8 = 0. Solve -5 = 4*d - c for d. -1 Let z be (51*(-2)/8)/((-393)/4192). Let d = 139 - z. Solve d = -3*k - 0*k for k. -1 Suppose -2*s - 2*s - 5*q - 99 = 0, 0 = 3*s - 4*q + 51. Let w be 27*14/147 - (-12)/s. Solve w*p + 1 = p for p. -1 Suppose -a + 22*t + 62 = 19*t, 112 = 2*a - 3*t. Solve 5*k + a = 20 for k. -6 Let s(i) be the second derivative of -i**3/6 - 17*i. Let u be s(0). Let t be (-1)/(-2)*(-2 + 22 - u). Solve r = -r + t for r. 5 Suppose 3*n - 25 = 2*f, -15 = n - 0*f + 4*f. Suppose n*p - 14*p + 36 = 0. Suppose 0 = -3*m - 4*i + 41, -5*m - 3*i + 53 = 3. Solve 5 = p*y - m for y. 3 Let a(u) = u + 42. Let z be a(-28). Suppose z*w = 18*w - 36. Solve j = w*j - 24 for j. 3 Let o = 92 + -89. Let f be ((-2)/(-3))/(o + (-7)/3). Let y be (f - 1)*((-14)/(-6))/7. Solve -m - 1 = -y*m for m. -1 Suppose -5*h + 3*d = -226, 29*h = 32*h + 3*d - 102. Solve 26*w + h = -115 for w. -6 Let u(x) = 5*x**2 - 13*x - 18. Let y(o) = -10*o**2 + 25*o + 36. Let g(z) = 9*u(z) + 4*y(z). Let n be g(-1). Solve -n*j = -j for j. 0 Let a be (-1 - -65)/(-5 - -9). Solve 5*x + 44 = a*x for x. 4 Let v(s) = 2*s**2 - 3*s - 4. Suppose -4*l = -4*o + 40, 3*l + 3*o + 0*o = -30. Let b be (l - -5) + 2 - -6. Let m be v(b). Solve 7 = m*y - 18 for y. 5 Let o be -9*(-4 - (-112)/24). Let z be (9/o)/((104/32)/(-13)). Solve 0 = -0*s + z*s + 6 for s. -1 Let b be ((-1)/4)/(2/(-40)). Let i(v) = 64*v + 655. Let h be i(-10). Solve -b*n - h = 5 for n. -4 Suppose 5*j = 1356*x - 1359*x - 45, -3*x - 72 = 8*j. Solve -36*c + 461 - 137 = x for c. 9 Let g(h) = -5*h + 28. Let l be (-1 - (-9)/(-3)) + 9. Let u be g(l). Suppose u*s - s - 12 = 0. Solve -d - 5 = -s*d for d. 1 Let u be (-1287)/572*(-20)/3. Solve 5*v = 20*v + u for v. -1 Let x be 1/(-10)*-2 - (-56)/20. Let n be ((-53)/x)/(7/(-21)). Let a = n - 42. Solve -1 = -2*c - a for c. -5 Let v(n) be the third derivative of -n**6/120 + n**5/20 + n**4/12 - 2*n**3/3 + 4*n**2. Let p be v(3). Let a = -733 + 733. Solve -p*t + 5*t = a for t. 0 Let q be -5*(1/(-10))/(57/114). Solve 0 = -222*h + 221*h + q for h. 1 Let z be (-7 - 11)/((-5)/20). Solve z = j + 75 for j. -3 Suppose a - 5 = -2*f, -3*f + 2*a - 10 = -f. Suppose 0 = 3*v + 12, -3*r + v = -68 + 22. Let u be (10/35)/(2/r). Solve -u*p + f = -2 for p. 1 Suppose 0 = 5*b - 17*b + 552. Let c = 55 - b. Let q(t) = t**2 + 24*t + 63. Let p be q(-21). Solve -c*x + 8*x + 4 = p for x. 4 Let z be (-1)/40*-15 - (-3 - 825/40). Solve z*h = 41*h + 68 for h. -4 Let g be ((-50)/5)/(-2 - 0) + -5. Solve -5*w - 10*w - 60 = g for w. -4 Let y be 22/(-33)*(-6)/4. Let u(k) = -5*k + 6. Let x be u(y). Solve -5 = 2*i + x for i. -3 Let o = -13 + 18. Suppose 0 = -2*w - o*g - 21, -2*w + 4*g - 3 = -27. Suppose -2*s + 14 = 5*y, 3*y + 9 - 21 = -3*s. Solve 4 = -y*z - w for z. -3 Suppose -239 + 229 = -5*k. Suppose -4*n + n + 13 = -2*o, k*n + 23 = -5*o. Solve 6 - n = c for c. 5 Suppose 20*s + 5*s = 100. Suppose -3*n = -5*h + 5 + 6, s*n + 3*h - 24 = 0. Let c = 15 - 5. Solve n*j - c = -4 for j. 2 Let v be (-45)/18 + 740/40. Solve 32 - 16 = v*j for j. 1 Let h = 195 + -187. Let n(o) = 7*o - 5. Let y be n(4). Let k = -18 + y. Solve h = b - k*b for b. -2 Let j(d) = 5*d**2 - 22*d + 15. Let k be j(4). Solve 0 = 6*y - k + 25 for y. -3 Suppose 87*t - 775 = 82*t. Let f = 155 - t. Solve 3*q - 4*q + 5 = f for q. 5 Let m(w) = -2*w + 8. Let r be m(3). Suppose 5*k - 8 = b, -r*k - 2*k = -3*b - 2. Let u = -1104 - -1113. Solve u = -b*q - q for q. -3 Let u = 47 - 65. Let c be (u - -19) + 1 + -2 + 6. Solve 0 = -4*w - 2*w + c for w. 1 Suppose -3*r + 60 = 4*i, 5*i + 324 - 399 = 5*r. Solve 7*u + 8 = i for u. 1 Let k(s) = 7*s**2 + 9*s - 11. Let m be k(5). Let f = m - 204. Solve 7 + 8 = -f*n for n. -3 Let b be (-22 - 10353/(-210))*10. Solve -11*i + b = 28*i for i. 7 Let t = -21 - -21. Suppose t = 61*s - 53*s. Solve 0*i - 2*i = s for i. 0 Let a(w) = 3*w**2 + 2*w - 2. Let m be a(-2). Let i be 28/m - (-4)/(-6). Let u(n) = -n + 2. Let v be u(-8). Solve i*h = -h - v for h. -2 Let n = -42 + 44. Suppose -4*m - 18 = -n, 4*j = -3*m + 4. Suppose -2*p + 7*p + j*i = 35, i = 5. Solve 5*l = -p - 17 for l. -4 Let h(x) = x**2 + 22. Let f be h(0). Let a = -958 + 976. Let n = f - a. Solve 0*p - n*p - 8 = 0 for p. -2 Suppose 2*w = -o - 2*w + 2, -4*w = 0. Suppose l = -3*k + 4*l - 9, l - 1 = o*k. Solve 0 = k*h - h for h. 0 Let p = -17357 + 17739. Solve t + p - 391 = 0 for t. 9 Let h(v) be the third derivative of v**4/3 - v**3/3 - 2*v**2. Let y be h(2). Suppose -5 = y*j - 75. Solve j*w + 8 = -7 for w. -3 Suppose 5*f = -4*r, -189*f + 4*r = -190*f. Solve f = -2*z + 87 - 93 for z. -3 Let m be 0 - ((-45)/(-135))/(3/27*-1). Suppose 0*j = j + 4. Let q be 2/j*1*-6. Solve m*u + 0 = q for u. 1 Suppose 2*n - 23*n = -9429. Let t = n - 443. Solve t - 7 = -g for g. 1 Let o(c) = -3*c + 4. Let w(z) = 9*z - 12. Let j(s) = 7*o(s) + 2*w(s). Let r be j(4). Let u(l) = 2*l + 18. Let k be u(r). Solve 5*a + 3 = k*a for a. -1 Let l be -10 - (-8)/40*95. Solve -39 = -6*n + l for n. 8 Let i(j) = -j**3 + 6*j**2 + 5*j + 12. Let f be i(6). Let z be 9 - f/(-35)*-5. Solve -5 = o - z for o. -2 Let t = -15941 + 15957. Suppose 0 = j - 0*i - 3*i - 8, -3*i = j + 4. Suppose -j*s - t + 22 = 0. Solve 1 = -m - s for m. -4 Let q = 144 + -138. Let f be (-1)/(-3) + 2/q*11. Solve 4*j = 3*j - f for j. -4 Let f(x) = -x**3 - 23*x**2 - 2*x - 36. Let d be f(-23). Suppose 19*b - 117 = d*b. Solve b = -3*k + 22 for k. 3 Let n(y) = 2*y**2 + 40*y - 41. Let z be n(-21). Suppose z = -2*f - 5*v + 17, 0 = v. Solve 0 = -5*x - f - 7 for x. -3 Suppose 101 - 282 = -34*a + 193. Solve -a = -14*m + 25*m for m. -1 Suppose 3*q = -2*q + 60. Suppose 5*j = 5*g + 8 + q, -2*j - 5*g = -43. Solve -10*o + 1 = -j*o for o. 1 Let h be (-48)/(-4)*(-2)/(-8). Suppose 21 = h*y + 2*l - 1, -l - 1 = 0. Let v(q) = 5*q - 36. Let s be v(y). Solve -s*d - 2 + 6 = 0 for d. 1 Let d = -19 - -31. Suppose 0 = -3*u - d, -9*b + u = -6*b - 4. Solve 6 = -b*r + 3*r for r. 2 Let g(i) = -4*i**2 - 8*i + 97. Let a be g(-6). Solve 134 - a = 19*s for s. 7 Let j be 18 - ((-10 - (-112)/7) + -1). Solve -m + j = 12 for m. 1 Suppose -l + g = -2*g - 25, 4*l - 4*g = 76. Let i = l - 0. Suppose 0 = 13*z - i - 62. Solve -x + 1 - z = 0 for x. -5 Suppose 49*i + 4 = 50*i. Suppose 4*t + 3*u - 21 = 0, 2*u = 4*t + i*u - 18. Suppose -b + 1 = 4*c + 7, 0 = -2*b - 2*c + 6. Solve t + b = -3*y for y. -3 Suppose 82 = s + 76. Suppose p = -r + s, -r + 22 = 5*p - 0*p. Let f be (-33)/(-7) - 4 - r/(-7). Solve 2*m + 11 = f for m. -5 Suppose 65 = 4*s - 5*p, -2*p + 120 = 4*s + 34. Suppose 30 = k + s. Suppose k*d = 4*d. Solve d*b = -b for b. 0 Let j(c) = -18*c + 1485. Let w be j(82). Solve 35*n + w*n = -220 for n. -5 Let a be 9/(-18)*0/2. Suppose 4*v + a = 8. Solve 4 - v = -s for s. -2 Suppose 51*x + 2*z + 92 = 53*x, -3 = 3*z. Solve -100 = x*o + 35 for o. -3 Let v be 77/2*(-36)/(-546)*13. Solve 4*n - 15*n - v = 0 for n. -3 Let r(s) = -34*s**3 + 5*s**2 - 6*s + 8. Let f be r(3). Let t = f + 883. Let w(c) = c**3 - 3*c**2 + 4. Let u be w(3). Solve a + t = u for a. 4 Let g(r) = -r + 9. Let l be g(2). Let d(c) = c**3 - 7*c**2 + 2. Let t be d(l). Suppose o - t = n + 3*o, -o - 5 = 0. Solve -n*s = -4*s for s. 0 Suppose -5*g - 5*u = 505, -3*u - 505 = -0*g + 5*g. Let i = g + 106. Suppose 8*y + i*y = 39. Solve y*t = -1 + 7 for t. 2 Let v(d) = -3*d**2 - 460*d - 91. Let o be v(-153). Solve -23*t = o + 122 for t. -8 Suppose -16 = -2*n - j, 3*n = j - 387 + 396. Let i(q) = -4*q**3 - 2*q - 1. Let p be i(-1). Suppose -p*s = -2*s. Solve n*k + s + 5 = 0 for k. -1 Suppose -16*o + 153 = 4 + 5. Solve 0 = -o*f - 22*f - 124 for f. -4 Let b be (-33)/99*(-84)/4. Solve -b*k =
{ "pile_set_name": "DM Mathematics" }
-1) - (4 + 248/(-40)). Which is the biggest value? (a) 0.09 (b) i (c) v (d) 0.1 c Suppose -4*s + 3*s = 448. Let w be s/44 - (-2)/11. Let g be 4/33*15/w. What is the smallest value in 5, -0.1, g, 3? g Let j be ((-3)/2)/3*(63 - 35 - 18). Which is the fourth biggest value? (a) -2/7 (b) -0.5 (c) j (d) -0.3 (e) 57/11 b Let q = 6001 - 6000.6. Let o = -0.9 + -0.1. Which is the second biggest value? (a) 0.02 (b) q (c) o a Let l(g) = g**2 - 55*g - 290. Let f be l(60). Which is the smallest value? (a) 4 (b) f (c) -5/23 c Let o be (13/(22 - -4))/(4/72). Which is the third biggest value? (a) -239 (b) 0 (c) o a Let t = -345 - -221. Let j = t - -184. Which is the second biggest value? (a) j (b) 2/11 (c) -1 b Let u(v) = -v**2 + 2*v. Let y be u(1). Let g = 256 - 256.596. Let f = g + 0.716. Which is the second biggest value? (a) -0.5 (b) y (c) f c Let r = -246.9701 - 0.0299. Let q = r - -264. Which is the third biggest value? (a) q (b) -0.4 (c) -3 c Let u = 42752.2 + -42752. Which is the second smallest value? (a) 0.5 (b) 1007 (c) u a Let g = -0.8 - -0.77. Let r = -4.98081 + -0.01919. Let o = -34 - -30. Which is the smallest value? (a) r (b) o (c) -2/7 (d) g a Let j be 1 - (8 + -3 - 310/77). Let s = 73/154 + j. Let t = -13/42 + 1/7. What is the third biggest value in s, -0.3, -0.2, t? -0.2 Let z = 2.46 + 0.54. Let x = 2.8 - z. Which is the third biggest value? (a) 2/7 (b) x (c) 11/4 b Let u be (-8 - -104)/(-12) - 16/2. What is the smallest value in 1/9, u, -0.3, 2? u Let y = -128.9 + 129. Let i(n) = n**2 - 6*n + 5. Let g be i(6). Let x = 2.9 + -3. Which is the third smallest value? (a) g (b) x (c) y (d) -0.2 c Let t = -16909/11 + 1537. Which is the second smallest value? (a) t (b) -519 (c) -6 c Let s = 0.351 + -2.351. Which is the second biggest value? (a) -3.2 (b) 5/2 (c) s c Let k = -4.701 - -4.301. Which is the second smallest value? (a) -1 (b) k (c) 3/58 (d) 0.3 b Suppose -5*r + 2346 = 12*r. Let y = r + -686/5. Which is the biggest value? (a) -1 (b) -3 (c) 1.1 (d) y c Let c = 21.9 - 59.9. Let d = -34 - c. What is the second smallest value in 1/84, d, -0.3? 1/84 Let q = 2073.9 + -2199. Let h = -125 - q. Which is the biggest value? (a) 0 (b) -0.2 (c) 2 (d) h c Let u = 0.504 - 1.504. Let t = -44 - -351/8. Which is the smallest value? (a) -6/11 (b) u (c) t b Let v = 1826 - 1826.08. Let i = 1 + -1. Suppose 54*g = 53*g - 4. Which is the third biggest value? (a) g (b) v (c) i a Let j = -5 - -10. Let t = -4.95 + j. Let k(n) = n**2 + 41*n - 134. Let l be k(-44). Which is the smallest value? (a) l (b) t (c) 3 a Let d(w) = -183*w - 1461. Let m be d(-8). What is the third smallest value in -57, -5, -3, m? -3 Let o = 1621/1617 + 62/147. Let g = o - 12/11. Let m be ((-2)/(-8)*-2)/((-5)/10). What is the third biggest value in -1/3, g, m? -1/3 Let z be (-14)/(-77) - (194252/440 - -5). Let p = z - -446. Which is the second smallest value? (a) 0.02 (b) 0 (c) 0.3 (d) p b Suppose -5*w - p = 5, -35 = -2*w + 4*p - 59. Let u be (-1)/(1 - 21/6). Which is the third biggest value? (a) 2 (b) u (c) w (d) 3 b Let c be ((-8)/(15 - 7))/((-12)/((-144)/30)). Suppose -5*l - 4*j + 179 = 0, -3*l + 2 = -3*j - 100. What is the third biggest value in c, -2/3, l? -2/3 Let q = -3527 - -3528. What is the second biggest value in -7/6, q, -0.4, -2/7? -2/7 Let x be -2 + 87/36 + (-36)/144. Which is the smallest value? (a) -3 (b) 2 (c) -0.16 (d) 24 (e) x a Suppose -75*j - 37*j + 20*j = 0. Which is the second biggest value? (a) -1/3 (b) -4538 (c) 2 (d) j d Let w = 44414 - 44413.6. What is the third biggest value in -2, w, 16/3? -2 Suppose 0 = w - p, 0 = -4*w + 3*w - 3*p + 12. Suppose -4*v + 5*m = 10, w*m + 2 = 4*m. What is the second smallest value in -0.3, v, -2, 0.2? -0.3 Suppose 2*b + 2*a = -2, b + 634*a = 637*a + 7. Let h = -541 + 3779/7. What is the third biggest value in 5, 0.1, h, b? 0.1 Let m = 690 + -716. Which is the biggest value? (a) 16 (b) 0.3 (c) m a Let i = 53 - 35. Let w be (-9)/(-6) + (-39)/i. Let l = -2376 + 2371. Which is the third smallest value? (a) l (b) 14 (c) w (d) 3/2 d Let z be 1/(-7)*2*(-14)/4. Let v = -602/11 - 7357/33. Let a = v + 283. What is the smallest value in -3, z, a? -3 Let h = -52735 + 24099883/457. What is the second smallest value in 1, -0.3, -3, h? -0.3 Let n = 0.33 - -0.12. Let t = 7.92 + -3.37. Let u = n + t. Which is the third biggest value? (a) -0.9 (b) 0 (c) u (d) -0.5 d Let u = 0.1 - -0.1. Let g = 0.23 - -0.07. Let h be (-816)/136*18/(-189). What is the fourth biggest value in h, 0, u, g? 0 Let t be (-6)/33*1*6/180. Let g = 337/1155 + t. Let f be 2/(-5)*40/(-104). Which is the biggest value? (a) g (b) -4 (c) f a Let b = -8.872 - -0.072. Let h = b + 3.8. Let g = -4 + 5. What is the smallest value in g, h, 3/5? h Let q = 14925 + -14924.8. Let k = -0.3 + 1.3. What is the fourth biggest value in k, 1/7, q, -0.5? -0.5 Let h = 542.06 + -534. Let l = h - 8. Let f = -27 - -23. Which is the third smallest value? (a) l (b) f (c) -2/15 a Let q = 9072 + -9070.3. What is the smallest value in 5/4, 2/25, q? 2/25 Let y = -124139/8 + 15481. What is the third biggest value in -4, -1/9, -0.5, y? -4 Let y be (-56)/48 - (-2 - (-36)/27). Which is the third smallest value? (a) -172 (b) 0.3 (c) y (d) 5 b Let f be (-2)/(-8)*(25 - 3289/161). What is the smallest value in 0, -5, f? -5 Let b be 13/2 + (-15)/5 + -3 + 1. What is the smallest value in -3, b, 7, 5? -3 Let i = -0.6789 - 0.3211. What is the third biggest value in -1/7, 3, 195, i? -1/7 Let k = -16 + 42. Let u be 58/39 + (-4)/k. Let l = -5.0638 + 0.0638. Which is the third smallest value? (a) -0.5 (b) u (c) l b Let m = -189.538 - 0.462. Let r = 190.3 + m. Which is the third smallest value? (a) -0.4 (b) -5/13 (c) r c Let q = -0.08 + -0.12. Let l be -3 + 3 - 4/(-26). Let m = 192.68 + -206.68. What is the third smallest value in q, 5, l, m? l Let k = -2315 + 2833. What is the fourth smallest value in -1, k, 0.2, 0.3? k Let h = 54.61 - 56.21. What is the third biggest value in h, 2/13, -3/4? h Let m = 3116 + -3115.968. What is the second smallest value in -0.8, -0.4, m? -0.4 Let s = 3.544 - 2.544. Which is the biggest value? (a) -5 (b) s (c) -0.0148 b Let o be ((-272)/(-816))/((-1)/3). Let h = 3 + -16/5. Suppose 0 = r - 5*s + 15, 5*r + 22 = -2*s + 1. What is the third biggest value in 4, o, h, r? o Let v = 637.8 - 634.8. Which is the second biggest value? (a) 40/7 (b) v (c) 6 (d) -3 a Let t = -313 - -1571/5. Suppose 57*x = 41 + 48 + 25. What is the fourth smallest value in x, t, 0, 3? 3 Let m = 4.6763 - -0.3237. What is the biggest value in 0.08, m, 0.17? m Let m be 31652/(-1435) + 24 + -2 + 0/1. Let n = 6 - -1. Suppose -k + 3 - n = -5*s, -4*s - 4*k = -8. What is the fourth smallest value in 0.4, s, -3, m? s Let k = 0.16 - 0.3. Let i = -21.64 + 21.7. Let f = i - k. Which is the third biggest value? (a) f (b) -2 (c) 11 b Suppose -148 - 76 = r + 2*h, 5*h - 1180 = 5*r. Which is the second smallest value? (a) r (b) 0.3 (c) 4 b Let x = -4 + 0. Let p be (-38)/x - 12/16*-2. Suppose p*j - 8 = -63. Which is the third biggest value? (a) 0.3 (b) 0.2 (c) j (d) 0 d Let t = -13 - -8. Let p be (-49916)/(-11284) + 15/(-3). Let d = -2/403 - p. Which is the second biggest value? (a) t (b) -3 (c) d b Let p = -2133.7 + 2134. What is the biggest value in 0, p, -5, -0.4, -8? p Let t = 22.8 + -22.9. Which is the third biggest value? (a) t (b) -4 (c) -0.39 (d) 0.4 c Let t = 4.01 - 3.849. Let m = t + -9.161. Let l = -24 + 27. Which is the biggest value? (a) l (b) -2 (c) -4 (d) m a Let l(n) = 3*n**2 + 23*n - 7. Let o be l(-8). Let p = 303 - 331. Which is the fourth biggest value? (a) 0.3 (b) 2 (c) p (d) o c Let y = 19398 + -116387/6. Suppose -10 - 32 = s. Let z be 2/(-7) + 30/s. What is the third biggest value in y, z, -3? -3 Let a be 1/(-2) + (-1)/2. Let z be a*(-15)/(-6)*-2. Suppose -414 = 15*u - 153*u. What is the third smallest value in u, 1, z, 4/3? u Let p = 1/4448 - -35581/13344. What is the smallest value in -2/7, -2/17, 3, p? -2/7 Let s = -6.7 - -7. Let v = -1884 + 1659. Let l = v - -221. Which is the biggest value? (a) s (b) l (c) -7 a Suppose 0 = -4*m + 3*z + 14, 12*z = 4*m + 8*z - 12. Which is
{ "pile_set_name": "DM Mathematics" }
2 - 330*o + 15680. -5*(o - 32)*(o + 98) Factor -3*i**4 + 150*i**3 - 1548*i**2 + 3738*i + 5439. -3*(i - 37)*(i - 7)**2*(i + 1) Let -2*z**3 + 744*z**2 - 3682*z + 4404 = 0. Calculate z. 2, 3, 367 Factor -925*c**2 - 4640*c - 75. -5*(c + 5)*(185*c + 3) Solve -2*d**4 - 5890*d**3 - 209448*d**2 = 0. -2909, -36, 0 Factor 12*c**3 - 48212*c**2 + 128496*c - 64240. 4*(c - 4015)*(c - 2)*(3*c - 2) What is i in -2*i**2/17 + 189728*i/17 + 758944/17 = 0? -4, 94868 Find s, given that -2*s**4/9 - 21428*s**3 - 21426*s**2 + 1542824*s/9 + 771400/3 = 0. -96425, -2, 3 Find f such that 34*f**2/3 + 17540*f/3 - 688 = 0. -516, 2/17 Let 5*j**4/2 + 830935*j**3/6 + 3836080665*j**2/2 + 6392883055*j/2 + 3835619045/3 = 0. Calculate j. -27697, -1, -2/3 Find f, given that 8978*f**2 - 117384*f + 383688 = 0. 438/67 What is j in -4*j**3 + 8356*j**2 - 33360*j = 0? 0, 4, 2085 Find f, given that -2*f**3 - 816*f**2 + 3296*f = 0. -412, 0, 4 Factor -3*v**2 + 713562*v. -3*v*(v - 237854) Solve -2*t**3 + 1582640*t**2 - 313093671200*t = 0 for t. 0, 395660 Suppose 3*i**5/7 + 375*i**4/7 + 2067*i**3/7 - 8871*i**2/7 + 918*i = 0. Calculate i. -119, -9, 0, 1, 2 Let -3*q**2/5 + 105342*q/5 - 210672/5 = 0. What is q? 2, 35112 Suppose n**4 - 1297*n**3 - 15672*n**2 - 47124*n = 0. What is n? -6, 0, 1309 Factor p**5 - 54*p**4 + 293*p**3 - 240*p**2. p**2*(p - 48)*(p - 5)*(p - 1) What is g in -g**4 - 794*g**3 - 791*g**2 + 1586*g = 0? -793, -2, 0, 1 Factor 2*c**4/7 - 6978*c**3/7 - 3992*c**2. 2*c**2*(c - 3493)*(c + 4)/7 What is t in 2*t**3 + 94*t**2 + 268*t + 176 = 0? -44, -2, -1 Solve m**5/3 + 250*m**4/3 + 5682*m**3 + 176792*m**2/3 + 400673*m/3 - 198254 = 0 for m. -119, -7, -6, 1 Solve 4*a**3 - 6100*a**2 + 391008*a - 384912 = 0. 1, 66, 1458 Factor -4*t**2 + 10600*t + 10604. -4*(t - 2651)*(t + 1) Let 2*h**4/9 - 1744*h**3/3 + 2971268*h**2/9 + 202346656*h/3 + 604063466/9 = 0. Calculate h. -157, -1, 1387 Solve f**2/5 - 4892*f/5 + 4891/5 = 0. 1, 4891 Factor -3*d**2/2 - 627*d/2 + 1935. -3*(d - 6)*(d + 215)/2 Factor 4*l**2 - 456684*l + 456680. 4*(l - 114170)*(l - 1) Solve 2*x**4/7 - 1636*x**3/7 - 29880*x**2/7 - 180144*x/7 - 361152/7 = 0 for x. -6, 836 Suppose 4*z**3 - 3056*z**2 + 583696*z = 0. What is z? 0, 382 Let 6*b**5/5 + 782*b**4/5 + 358*b**3 - 54*b**2 - 1796*b/5 - 512/5 = 0. Calculate b. -128, -2, -1, -1/3, 1 Suppose x**3/4 - 393*x**2/4 - 2027*x/2 + 2418 = 0. What is x? -12, 2, 403 Factor 4*p**3 - 1692*p**2 - 8544*p - 6848. 4*(p - 428)*(p + 1)*(p + 4) Let -2*c**3 + 1556*c**2 - 61824*c = 0. Calculate c. 0, 42, 736 Factor -3*r**3 - 471*r**2 - 17838*r + 37584. -3*(r - 2)*(r + 72)*(r + 87) Find b such that b**4/3 + 124*b**3/3 - 217*b**2 - 258*b = 0. -129, -1, 0, 6 What is p in -215*p**3/2 + 10*p**2 + 6880*p - 640 = 0? -8, 4/43, 8 Factor o**5/4 + 1413*o**4/4 + 2810*o**3. o**3*(o + 8)*(o + 1405)/4 Factor 2*f**4/7 + 46*f**3/7 - 292*f**2/7 - 48*f. 2*f*(f - 6)*(f + 1)*(f + 28)/7 Factor -51*i**2/8 + 125*i/4 + 25/8. -(i - 5)*(51*i + 5)/8 Factor -c**3 - 404*c**2 + 15772*c - 29920. -(c - 34)*(c - 2)*(c + 440) Determine n, given that n**2/3 + 32192*n/3 - 10731 = 0. -32193, 1 Let -2*n**5/3 + 10*n**4/3 + 346*n**3/3 - 1946*n**2/3 - 4880*n/3 - 2600/3 = 0. What is n? -13, -1, 10 Factor 1401105963*i**2 - 129666*i + 3. 3*(21611*i - 1)**2 Factor 4409919698*b**2/9 + 187828*b/9 + 2/9. 2*(46957*b + 1)**2/9 Factor 3*t**3 + 24543*t**2 + 50184297*t - 50208843. 3*(t - 1)*(t + 4091)**2 Find x, given that -x**3/2 - 187*x**2/2 - 458*x - 546 = 0. -182, -3, -2 Factor -2*k**2 - 651580*k - 53069562050. -2*(k + 162895)**2 Factor -x**3 + 74997*x**2 - 149991*x + 74995. -(x - 74995)*(x - 1)**2 Solve -o**2/4 + 1195*o/4 - 1193/2 = 0 for o. 2, 1193 Find c such that c**3/3 - 236*c**2/3 + 14453*c/3 - 66490/3 = 0. 5, 109, 122 Factor -5*d**5 + 150*d**4 - 780*d**3 + 1490*d**2 - 1215*d + 360. -5*(d - 24)*(d - 3)*(d - 1)**3 Find k, given that -5*k**2/4 + 1485*k/4 + 1125 = 0. -3, 300 Determine t so that 4*t**5 - 16*t**4 - 2304*t**3 + 19928*t**2 - 32900*t + 15288 = 0. -26, 1, 7, 21 Determine c, given that -4*c**3 + 496*c**2 + 2068*c - 2560 = 0. -5, 1, 128 Let -2*c**3/11 - 298*c**2/11 + 58768*c/11 - 116328/11 = 0. Calculate c. -262, 2, 111 Find t such that -4*t**3 - 224*t**2 + 19404*t + 1111320 = 0. -63, 70 What is r in 2*r**5/5 + 1736*r**4/5 + 484106*r**3/5 + 46498988*r**2/5 + 1393884992*r/5 - 2977666624/5 = 0? -359, -76, 2 Let 2*r**5/3 - 24952*r**4/3 - 74878*r**3/3 + 49892*r**2/3 + 299480*r/3 + 199664/3 = 0. Calculate r. -2, -1, 2, 12479 Determine x, given that 2*x**5/9 + 3100*x**4/9 - 18752*x**3/3 + 300800*x**2/9 - 401408*x/9 = 0. -1568, 0, 2, 8 Suppose 2*h**2/19 + 1776*h/19 + 5310/19 = 0. Calculate h. -885, -3 Factor 4*h**3/3 - 488*h**2/3 + 1460*h + 18648. 4*(h - 111)*(h - 18)*(h + 7)/3 Factor -89*q**2 - 298*q - 240. -(q + 2)*(89*q + 120) Determine v, given that -5*v**2 - 5040*v - 49900 = 0. -998, -10 Determine h so that -46*h**4/7 + 270*h**3 + 175832*h**2/7 + 22680*h - 15136/7 = 0. -44, -1, 2/23, 86 Factor a**2/10 - 7*a + 201/10. (a - 67)*(a - 3)/10 Let m**3 + 46*m**2 + 249*m + 360 = 0. Calculate m. -40, -3 Solve -q**5 + 29*q**4 + 1774*q**3 - 116*q**2 - 7080*q = 0. -30, -2, 0, 2, 59 Factor -5*h**3 + 6580*h**2 - 19705*h + 13130. -5*(h - 1313)*(h - 2)*(h - 1) Let -l**3 - 36006*l**2 + l + 36006 = 0. What is l? -36006, -1, 1 Factor o**2/2 + 1998358*o + 1996717348082. (o + 1998358)**2/2 Factor -2*v**2/9 + 1702*v/3 - 5104/9. -2*(v - 2552)*(v - 1)/9 Solve 84*t**5 - 1604*t**4 + 4172*t**3 - 156*t**2 - 576*t = 0. -1/3, 0, 3/7, 3, 16 Suppose 4*q**5 + 2396*q**4 - 14508*q**3 + 7300*q**2 + 24200*q = 0. Calculate q. -605, -1, 0, 2, 5 What is v in -5*v**2 - 690*v - 23200 = 0? -80, -58 Suppose 3*h**3/5 - 1284*h**2/5 - 5685*h + 61962/5 = 0. Calculate h. -23, 2, 449 Solve 4*z**4 - 36*z**3 - 30744*z**2 - 804400*z + 7140000 = 0. -50, 7, 102 Find j, given that 100*j**5 + 9815*j**4 + 11160*j**3 + 475*j**2 - 970*j = 0. -97, -1, -2/5, 0, 1/4 Let 3*m**2/5 + 102*m/5 - 648 = 0. Calculate m. -54, 20 Determine q, given that -105*q**4 - 1266*q**3 + 33*q**2 + 1266*q + 72 = 0. -12, -1, -2/35, 1 Factor 2*b**2/9 - 808*b/9 + 27122/3. 2*(b - 213)*(b - 191)/9 Suppose 459684*l**5 + 3666624*l**4 - 86720*l**3 + 512*l**2 = 0. Calculate l. -8, 0, 4/339 Find j, given that -2*j**4/21 + 320*j**3/21 + 974*j**2/21 + 652*j/21 = 0. -2, -1, 0, 163 Let 20*i**5 + 2205*i**4 + 16970*i**3 + 13305*i**2 - 99700*i - 25500 = 0. What is i? -102, -5, -1/4, 2 Factor -4*j**4 + 140*j**3 - 936*j**2. -4*j**2*(j - 26)*(j - 9) Factor 4*z**2 - 3900356*z - 7800728. 4*(z - 975091)*(z + 2) Factor -k**3/3 - 8*k**2/3 + 656*k/3 + 896. -(k - 24)*(k + 4)*(k + 28)/3 Let 2*n**5/5 - 2*n**4 - 16*n**3 + 32*n**2 + 768*n/5 = 0. Calculate n. -4, -3, 0, 4, 8 What is m in -5*m**3 - 373025*m**2 - 6957569040*m - 6957196020 = 0? -37302, -1 Solve 2*s**5/13 + 514*s**4/13 - 2682*s**3/13 - 15874*s**2/13 + 96640*s/13 - 78600/13 = 0. -262, -6, 1, 5 Determine b, given that 3*b**4/7 - 110753*b**3/7 + 406059*b**2/7 - 184567*b/7 - 110742/7 = 0. -1/3, 1, 3, 36914 Factor 3*g**4 + 1374*g**3 + 4104*g**2 + 4098*g + 1365. 3*(g + 1)**3*(g + 455) Solve -2*c**3/3 + 6322*c**2/3 + 12652*c/3 = 0. -2, 0, 3163 Factor b**5/7 + 27*b**4 - 840*b**3 + 6076*b**2. b**2*(b - 14)**2*(b + 217)/7 Factor j**2/6 - 131*j + 784/3. (j - 784)*(j - 2)/6 Factor 3*d**2 + 677238*d + 38220942387. 3*(d + 112873)**2 Determine t so that -30*t**3 - 361808*t**2/3 - 121213720*t - 10773600 = 0. -2010, -4/45 Find t such that 3*t**3 + 1533*t**2 - 171843*t + 4386627 = 0. -609, 49 Factor 4*f**5 + 20*f**4 - 116*f**3 - 420*f**2. 4*f**2*(f - 5)*(f + 3)*(f + 7) Factor -3*l**2/5 + 774*l. -3*l*(l - 1290)/5 Factor -3*i**2/4 - 105*i + 1872. -3*(i - 16)*(i + 156)/4 Factor 105625*b**3/4 - 1690325*b**2/2 + 20801*b/4 - 8. (b - 32)*(325*b - 1)**2/4 Determine w, given that -w**3 - 68*w**2 + 2716*w + 25568 = 0. -94, -8, 34 Factor -4*z**2 - 2592056*z + 2592060. -4*(z - 1)*(z + 648015) Factor 2*h**3/7 + 30*h**2 + 6088*h/7 + 7680. 2*(h + 20)*(h + 21)*(h + 64)/7 Let -3*f**3/2 - 67301*f**2/2 - 190635*f + 67284 = 0. Calculate f. -22428, -6, 1/3 What is n in -2*n**3/3 + 1726*n**2/3 - 59090*n + 1622334 = 0? 57, 749 Suppose k**4/3 + 223*k**3 - 2689*k**2/3 + 673*k = 0. Calculate k. -673, 0, 1, 3 Factor -3*u**2 + 621*u + 18954. -3*(u - 234)*(u + 27) What is x in -140*x**5 - 1598*x**4 + 2792*x**3 - 1210*x**2 + 156*x = 0? -
{ "pile_set_name": "DM Mathematics" }
s 191 a factor of 3494780? False Is 367 a factor of 463422? False Does 18 divide 1535796? True Is 22320119 a multiple of 18? False Is 160 a factor of 31040? True Is 336317 a multiple of 27? False Does 89 divide 481045? True Is 2823857 a multiple of 73? False Is 18947047 a multiple of 390? False Is 3257366 a multiple of 38? False Is 47 a factor of 393202? True Is 26 a factor of 779844? True Does 34 divide 243746? True Does 242 divide 3224? False Does 24 divide 2948128? False Is 96040 a multiple of 149? False Does 42 divide 1772022? True Is 96628 a multiple of 2? True Is 28 a factor of 520603? False Is 12915848 a multiple of 112? False Is 19 a factor of 1958197? True Does 101 divide 1077315? False Is 165577 a multiple of 71? False Is 9909888 a multiple of 83? False Is 71929 a multiple of 143? True Is 20 a factor of 559734? False Is 923027 a multiple of 385? False Is 5 a factor of 208283? False Does 295 divide 3167773? False Is 31 a factor of 7437368? False Is 533 a factor of 566579? True Is 12 a factor of 94920? True Does 4 divide 2530522? False Does 76 divide 6764? True Does 71 divide 5582943? True Is 3494540 a multiple of 3? False Is 350 a factor of 61109? False Does 45 divide 117765? True Does 726 divide 640829? False Does 14 divide 655550? True Does 293 divide 2398675? False Is 347 a factor of 771172? False Is 59 a factor of 47849? True Is 29 a factor of 152980? False Does 19 divide 5149? True Does 11 divide 44930? False Does 9 divide 13718? False Is 263510 a multiple of 13? True Is 154326 a multiple of 102? True Is 46 a factor of 293966? False Does 220 divide 737156? False Is 403533 a multiple of 13? True Does 1145 divide 1919462? False Is 9114688 a multiple of 202? False Is 6988280 a multiple of 38? False Does 6 divide 76296? True Does 43 divide 3616692? False Is 90 a factor of 3627748? False Is 9 a factor of 518544? True Does 324 divide 247248? False Is 892840 a multiple of 520? True Does 247 divide 33114522? False Does 174 divide 421370? False Is 19 a factor of 1446622? True Does 690 divide 6838857? False Is 847070 a multiple of 467? False Is 30353 a multiple of 42? False Is 14 a factor of 302340? False Does 7 divide 6242? False Is 4730032 a multiple of 23? False Does 34 divide 4770076? False Is 1156289 a multiple of 3? False Is 104524 a multiple of 28? True Is 506 a factor of 1981780? False Is 138 a factor of 63587? False Is 1201408 a multiple of 38? True Is 16 a factor of 13357733? False Is 247 a factor of 5809193? True Does 12 divide 389816? False Does 11 divide 355385? False Does 183 divide 2615? False Is 1183 a multiple of 630? False Does 14 divide 53354? True Is 3639188 a multiple of 97? False Does 82 divide 618034? True Is 283370 a multiple of 14? False Is 33 a factor of 1647855? True Is 7916246 a multiple of 10? False Is 3356856 a multiple of 24? True Is 480 a factor of 2627200? False Does 7 divide 2461620? True Does 9 divide 188272? False Is 84 a factor of 4360806? False Does 75 divide 49347? False Does 10 divide 88343? False Is 83 a factor of 1194464? False Is 1918508 a multiple of 11? False Is 19041 a multiple of 91? False Is 25912 a multiple of 41? True Is 10 a factor of 381735? False Does 315 divide 130506? False Is 36 a factor of 122436? True Is 18 a factor of 7650? True Does 47 divide 825179? True Does 97 divide 78273? False Is 22 a factor of 103796? True Is 571470 a multiple of 6? True Is 175879 a multiple of 34? False Is 39303 a multiple of 2? False Is 577720 a multiple of 6? False Is 428 a factor of 166064? True Is 8111676 a multiple of 44? False Is 27 a factor of 362712? False Is 22 a factor of 301511? False Does 12 divide 15369744? True Is 293755 a multiple of 49? True Is 648 a factor of 7564752? True Does 11 divide 43318? True Does 76 divide 4167041? False Is 170 a factor of 16635520? True Does 184 divide 473984? True Is 53293 a multiple of 389? True Is 1018120 a multiple of 10? True Is 60246 a multiple of 18? True Is 9358761 a multiple of 201? True Is 117 a factor of 220880? False Does 442 divide 753961? False Is 73325 a multiple of 3? False Is 8 a factor of 9103240? True Is 1463 a factor of 14167692? True Is 105 a factor of 69585? False Is 90482 a multiple of 4? False Is 803986 a multiple of 207? False Does 4 divide 16032? True Does 50 divide 3526778? False Does 104 divide 1875328? True Is 139934 a multiple of 31? True Does 16 divide 68233? False Is 7 a factor of 1526? True Is 19 a factor of 1688720? True Is 49589 a multiple of 35? False Is 48 a factor of 1085455? False Is 241574 a multiple of 8? False Is 14 a factor of 17766? True Does 192 divide 67408? False Is 136034 a multiple of 5? False Does 6 divide 1529331? False Is 3560277 a multiple of 19? True Is 186 a factor of 3162944? False Is 33 a factor of 1681457? False Is 436581 a multiple of 325? False Does 20 divide 1261740? True Is 100106 a multiple of 73? False Is 90 a factor of 342630? True Does 12 divide 17027820? True Is 700848 a multiple of 157? True Is 32 a factor of 3835680? True Does 476 divide 9520? True Is 11 a factor of 9735? True Is 196384 a multiple of 31? False Is 29 a factor of 1011839? True Is 1864033 a multiple of 1080? False Is 523636 a multiple of 989? False Is 2425263 a multiple of 254? False Is 290264 a multiple of 13? True Is 12947 a multiple of 11? True Is 34812 even? True Is 5494896 a multiple of 132? True Does 74 divide 145336? True Does 113 divide 4902957? True Is 1702632 a multiple of 12? True Does 202 divide 7731752? True Is 5573904 a multiple of 318? True Is 264712 a multiple of 14? True Is 1072825 a multiple of 104? False Does 76 divide 2158209? False Is 456 a factor of 176758? False Is 8 a factor of 1038194? False Is 12265104 a multiple of 12? True Is 18 a factor of 398880? True Is 123740 a multiple of 92? True Does 10 divide 2526390? True Is 5 a factor of 23265? True Is 184 a factor of 1073459? False Is 21 a factor of 1388891? False Is 108427 a multiple of 59? False Is 47187 a multiple of 300? False Is 9 a factor of 4752? True Is 20 a factor of 329134? False Is 1773761 a multiple of 3? False Is 13069430 a multiple of 22? True Is 69 a factor of 756102? True Does 21 divide 943295? False Is 76662 a multiple of 6? True Is 5189800 a multiple of 35? True Does 194 divide 3573193? False Is 182654 a multiple of 14? False Is 86 a factor of 66605? False Is 518289 a multiple of 13? False Is 151 a factor of 13932? False Does 196 divide 357700? True Is 569 a factor of 95592? True Is 261 a factor of 23751? True Is 511884 a multiple of 16? False Does 231 divide 5548137? False Is 106488 a multiple of 60? False Does 911 divide 2988818? False Is 793368 a multiple of 36? True Does 974 divide 1554504? True Does 30 divide 1003080? True Does 37 divide 103222? False Is 1391 a multiple of 267? False Does 11 divide 104335? True Is 46287 even? False Does 47 divide 55091? False Is 86604 a multiple of 42? True Does 6 divide 123666? True Does 139 divide 4546134? True Does 353 divide 577262? False Does 31 divide 20545343? True Does 66 divide 7090974? True Is 3364768 a multiple of 88? True Does 1295 divide 969955? True Is 180 a factor of 1019814? False Is 24438 a multiple of 6? True Is 44 a factor of 1062380? True Is 172270 a multiple of 42? False Is 10 a factor of 53089? False Is 118429 a multiple of 14? False Is 20 a factor of 39160? True Is 41152 a multiple of 144? False Does 114 divide 10649538? True Does 25 divide 228784? False Is 52825 a multiple of 194? False Is 17 a factor of 169313? False Is 51772 a multiple of 49? False Is 229431 a multiple of 31? True Is 14 a factor of 10119116? True Does 173 divide 384579? True Does 284 divide 6051411? False Is 428535 a multiple of 15? True Does 9 divide 71931? False Is 137 a factor of 136452? True Does 20 divide 821060? True Is 22588764 a multiple of 22? True Does 16 divide 178380? False Is 111 a factor of 1110555? True Is 13 a factor of 70589? False Is 66 a factor of 290605? False Is 9 a factor of 68917? False Is 358 a factor of 2783646? False Is 19 a factor of 63783? True Does 85 divide 490450? True Does 18 divide 8068657? False Does 95 divide 662625? True Does 21 divide 96932? False Does 6 divide 66869? False Is 23 a factor of 3073122? True Is 261005 a multiple of 22? False Is 731150 a multiple of 14? True
{ "pile_set_name": "DM Mathematics" }
ut replacement from eeeeeeeeee. What is prob of picking 3 e? 1 Two letters picked without replacement from hhdhmhhhmhhhhn. Give prob of picking 1 d and 1 n. 1/91 Calculate prob of picking 2 j when two letters picked without replacement from rnrjrrnj. 1/28 Two letters picked without replacement from xdjjjdjjxjjjjj. What is prob of picking 2 j? 45/91 Three letters picked without replacement from {r: 1, i: 3, q: 5, t: 3, w: 1, b: 1}. What is prob of picking 2 i and 1 r? 3/364 Calculate prob of picking 4 k when four letters picked without replacement from {k: 9, e: 2}. 21/55 Two letters picked without replacement from {i: 7, k: 2}. What is prob of picking 1 i and 1 k? 7/18 Three letters picked without replacement from {v: 2, p: 1, y: 1, x: 7, d: 3}. What is prob of picking 1 d and 2 v? 3/364 Calculate prob of picking 1 e and 1 j when two letters picked without replacement from {e: 1, p: 2, k: 2, j: 9}. 9/91 What is prob of picking 1 b and 2 y when three letters picked without replacement from nyyyb? 3/10 Four letters picked without replacement from {k: 5, v: 4, w: 2}. What is prob of picking 2 w and 2 v? 1/55 Calculate prob of picking 2 e and 1 a when three letters picked without replacement from yyayyyayypymyepep. 1/340 Calculate prob of picking 2 y, 1 e, and 1 z when four letters picked without replacement from {z: 1, e: 1, b: 4, p: 3, i: 1, y: 5}. 2/273 What is prob of picking 1 l and 1 q when two letters picked without replacement from lkkkqkklkqqlqk? 12/91 What is prob of picking 2 q when two letters picked without replacement from qqxxgr? 1/15 Calculate prob of picking 1 q and 1 m when two letters picked without replacement from {m: 7, o: 2, q: 2, l: 1}. 7/33 Calculate prob of picking 1 l and 1 n when two letters picked without replacement from nnnnnnnl. 1/4 Three letters picked without replacement from {q: 1, x: 3, k: 1, t: 2, r: 3}. Give prob of picking 2 t and 1 q. 1/120 What is prob of picking 1 i and 3 x when four letters picked without replacement from {x: 11, i: 3}? 45/91 What is prob of picking 1 y and 1 p when two letters picked without replacement from {d: 1, y: 1, e: 3, p: 1, t: 1}? 1/21 Calculate prob of picking 2 j when two letters picked without replacement from {y: 1, j: 5, z: 2, v: 4, k: 2, s: 1}. 2/21 Two letters picked without replacement from ttaaqtakoot. Give prob of picking 2 o. 1/55 Two letters picked without replacement from {j: 1, o: 1, d: 2, g: 1}. Give prob of picking 1 j and 1 g. 1/10 Four letters picked without replacement from {w: 1, f: 1, u: 2, h: 1, s: 2, r: 1}. Give prob of picking 1 r and 3 s. 0 Calculate prob of picking 1 b, 1 u, and 1 n when three letters picked without replacement from unnnnunbbbb. 8/33 What is prob of picking 4 j when four letters picked without replacement from {n: 4, j: 5, i: 1}? 1/42 Calculate prob of picking 1 a, 1 k, and 2 v when four letters picked without replacement from vgvvgavvkvek. 2/33 Three letters picked without replacement from txxxktsxzkuxk. Give prob of picking 2 x and 1 u. 5/143 Three letters picked without replacement from gugdgldgkgludlkgdp. What is prob of picking 1 l, 1 k, and 1 g? 3/68 Three letters picked without replacement from {r: 2, c: 1, w: 2, p: 1, a: 4, b: 2}. What is prob of picking 1 a, 1 b, and 1 w? 4/55 What is prob of picking 4 o when four letters picked without replacement from {o: 9}? 1 Two letters picked without replacement from {v: 2, s: 1, o: 2, x: 5, f: 8}. Give prob of picking 1 f and 1 s. 8/153 Four letters picked without replacement from pyppypppypypyyypyy. What is prob of picking 4 y? 7/170 Two letters picked without replacement from {s: 2, w: 1, q: 3, x: 1}. Give prob of picking 2 s. 1/21 Calculate prob of picking 1 j and 2 e when three letters picked without replacement from {m: 4, e: 3, w: 4, j: 6, t: 3}. 3/190 Three letters picked without replacement from {d: 2, o: 6}. Give prob of picking 2 d and 1 o. 3/28 Two letters picked without replacement from {i: 3, s: 1, l: 5, g: 1}. What is prob of picking 1 g and 1 l? 1/9 Two letters picked without replacement from puuuuppupuuuupupuu. Give prob of picking 1 u and 1 p. 8/17 Four letters picked without replacement from {e: 12, d: 7}. What is prob of picking 4 d? 35/3876 What is prob of picking 4 h when four letters picked without replacement from {g: 4, h: 6}? 1/14 What is prob of picking 2 a and 2 m when four letters picked without replacement from {d: 4, m: 2, a: 6, k: 2, g: 1}? 1/91 Two letters picked without replacement from {v: 3, y: 2}. What is prob of picking 2 y? 1/10 Four letters picked without replacement from gftttgzfgtgftt. Give prob of picking 1 g, 2 t, and 1 z. 60/1001 Three letters picked without replacement from sldoddodkdddodkdldd. Give prob of picking 1 s, 1 k, and 1 o. 2/323 Calculate prob of picking 2 j when two letters picked without replacement from {y: 2, i: 2, j: 5}. 5/18 Four letters picked without replacement from uucrrrrjurjl. What is prob of picking 3 u and 1 r? 1/99 Calculate prob of picking 1 g and 1 i when two letters picked without replacement from {z: 1, i: 1, g: 1, j: 1, p: 1, u: 2}. 1/21 Four letters picked without replacement from {q: 3, c: 1, e: 1}. Give prob of picking 1 c and 3 q. 1/5 Two letters picked without replacement from uuubbuuuub. What is prob of picking 2 u? 7/15 Three letters picked without replacement from {u: 2, e: 3}. What is prob of picking 2 e and 1 u? 3/5 Two letters picked without replacement from {e: 1, f: 1, v: 1, r: 2}. Give prob of picking 1 r and 1 v. 1/5 Calculate prob of picking 1 o and 1 l when two letters picked without replacement from uoelotooolot. 2/11 Four letters picked without replacement from oyhhfthyttohoifhht. What is prob of picking 2 h, 1 i, and 1 y? 1/102 Three letters picked without replacement from {a: 9}. What is prob of picking 3 a? 1 Calculate prob of picking 1 q and 1 e when two letters picked without replacement from ejqqjqqeee. 16/45 Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {a: 1, x: 5, q: 2, h: 1, e: 1}. 1/9 Three letters picked without replacement from zzzrzzrrzzzzrzzzrz. Give prob of picking 1 z and 2 r. 65/408 Two letters picked without replacement from ozzoe. What is prob of picking 2 e? 0 Calculate prob of picking 1 d and 2 l when three letters picked without replacement from lddddddlllddl. 40/143 Three letters picked without replacement from mbmbe. Give prob of picking 1 e, 1 b, and 1 m. 2/5 Calculate prob of picking 1 i, 1 w, and 1 c when three letters picked without replacement from iwcblie. 2/35 What is prob of picking 2 t and 1 i when three letters picked without replacement from titti? 3/5 What is prob of picking 2 b and 1 w when three letters picked without replacement from {b: 2, w: 5}? 1/7 What is prob of picking 2 w and 2 f when four letters picked without replacement from {t: 6, f: 4, w: 3}? 18/715 What is prob of picking 1 h, 2 l, and 1 e when four letters picked without replacement from {l: 3, h: 1, e: 3}? 9/35 What is prob of picking 2 r and 1 h when three letters picked without replacement from rhrhrhxcrxxxhfxc? 3/70 What is prob of picking 1 i and 1 s when two letters picked without replacement from isbisgbggsgg? 1/11 Two letters picked without replacement from bslisbhc. Give prob of picking 1 l and 1 s. 1/14 Three letters picked without replacement from {o: 9}. Give prob of picking 3 o. 1 Calculate prob of picking 4 i when four letters picked without replacement from {i: 11, c: 1, j: 1, b: 5, x: 2}. 22/323 What is prob of picking 1 s and 1 p when two letters picked without replacement from bpxssbexxebsbbsbxb? 4/153 Calculate prob of picking 1 l and 3 x when four letters picked without replacement from xlxguaxlx. 4/63 Four letters picked without replacement from totosoot. Give prob of picking 1 o and 3 t. 2/35 Four letters picked without replacement from {v: 2, j: 10}. What is prob of picking 2 j and 2 v? 1/11 Calculate prob of picking 1 a, 1 m, 1 o, and 1 n when four letters picked without replacement from {c: 1, o: 1, m: 4, n: 5, a: 1, v: 1}. 4/143 What is prob of picking 1 j and 1 w when two letters picked without replacement from {l: 4, v: 1, w: 1, j: 11, x: 2}? 11/171 Four letters picked without replacement from bbyybbybybb. Give prob o
{ "pile_set_name": "DM Mathematics" }
first derivative of 7*m**4 - 1557*m**3*x**2 + 3*x**2 + 10*x + 4 wrt m. 28*m**3 - 4671*m**2*x**2 Differentiate 215381*i**2 + 4*i - 1911125 with respect to i. 430762*i + 4 Find the first derivative of 62973*g**2 + 218685. 125946*g What is the first derivative of 45322*p - 29057 wrt p? 45322 What is the first derivative of 13904*p - 143226? 13904 Find the third derivative of -304103*o**5 + 144665*o**2. -18246180*o**2 Find the second derivative of -6986*s**5 + s + 18580. -139720*s**3 Find the first derivative of 2*j**2*y + 54*j**2 + 548047*j*y - 7655*j + 2 wrt y. 2*j**2 + 548047*j What is the first derivative of -4983883*n**3 - 2877572? -14951649*n**2 What is the second derivative of -6159521*v**3 + 22*v + 1299 wrt v? -36957126*v Find the third derivative of -1895605*h**3 - 2760*h**2 - 20*h wrt h. -11373630 What is the first derivative of -57*m*u**3 + 14*m*u*y - 8*m*u + 37*u**3*y + 3308*u*y wrt m? -57*u**3 + 14*u*y - 8*u Find the second derivative of -687*d**5 + d**3 - 3*d**2 - 1103*d. -13740*d**3 + 6*d - 6 Differentiate -46365*g**2 + 10*g - 2344521 wrt g. -92730*g + 10 What is the second derivative of -991869*c**2*l - 1125*c*l + 179*c wrt c? -1983738*l What is the second derivative of -147*x**3 - 5*x**2 - 24971*x? -882*x - 10 What is the second derivative of 100*c**2*l**2*s + 1829*c**2*l*s**2 - 5*c**2*s**2 + 10*c*l**2*s**2 - 4*c*l*s wrt l? 200*c**2*s + 20*c*s**2 Find the third derivative of 2138381*l**3 - 344292*l**2 wrt l. 12830286 What is the second derivative of -6*c**3*j**2 + 2*c**3*j + 19*c**3 - 39075*c**2*j**2 + 30*c**2*j - 4 wrt j? -12*c**3 - 78150*c**2 Find the third derivative of 2*j*v**3 - j + 2*v**5 + 70*v**4 + 196*v**2 + 2 wrt v. 12*j + 120*v**2 + 1680*v Find the third derivative of 8*a*s**4 + 1333*a*s**3 - 18*a*s**2 - a*s - 158*s**2 - 2 wrt s. 192*a*s + 7998*a What is the third derivative of z**5 + 507837*z**4 - 999056*z**2 wrt z? 60*z**2 + 12188088*z What is the second derivative of -7*q**3 - 42*q**2 - 10203*q? -42*q - 84 Find the first derivative of -507389*u + 2824402 wrt u. -507389 Find the second derivative of -112479*t**2 + t - 33405 wrt t. -224958 What is the third derivative of f**2*h*t**3 + f**2*h*t**2 + 2*f**2*t**2 - 1051*f*h*t**2 + f*t**4 - 22500*h*t**3 - 2*h - 3 wrt t? 6*f**2*h + 24*f*t - 135000*h What is the first derivative of -64570*z**4 - 4217 wrt z? -258280*z**3 Find the first derivative of -29842*b**2 + 2*b - 88143. -59684*b + 2 Find the third derivative of -393154*c**3*x**2 + c**3*x - c**3 + 153656*c**2 - 8*c*x**2 wrt c. -2358924*x**2 + 6*x - 6 What is the second derivative of -28515*j**2*y - 2594*j*y + j wrt j? -57030*y What is the derivative of 120*v*w**3 - 1124*v*w**2 - w**3 + 3*w**2 - 2*w + 23529 wrt v? 120*w**3 - 1124*w**2 Find the second derivative of -14*i**3*q**3 + 483*i**3*q - 4*i**2*q**5 + 4*i**2*q - 5*i + 40*q**2 wrt q. -84*i**3*q - 80*i**2*q**3 + 80 Find the third derivative of 38949*z**3 - z**2 - 28440*z wrt z. 233694 What is the derivative of 2662414*l**4 - 4392149 wrt l? 10649656*l**3 Differentiate -39*b*q + 15333*b - 61408*q - 4 with respect to b. -39*q + 15333 What is the second derivative of -807579*z**2 - 120842*z wrt z? -1615158 Differentiate -x**4 - 2*x**3 - 20033*x**2 - 51051 with respect to x. -4*x**3 - 6*x**2 - 40066*x What is the second derivative of -4*c*l**3 - 13427*c*l**2 + c*l - 2*c - 184*l - 7 wrt l? -24*c*l - 26854*c Find the third derivative of -243*v**5 - v**4 - 15*v**3 - 35631*v**2. -14580*v**2 - 24*v - 90 Find the first derivative of 63248*i + 40807 wrt i. 63248 Find the third derivative of -13815*q**6 - 837*q**2 + 9*q + 1 wrt q. -1657800*q**3 What is the second derivative of -17678*g**3 + 2*g**2*u + 3*g**2 - 2*g*u + 681*g - 5*u - 1 wrt g? -106068*g + 4*u + 6 What is the first derivative of -224449*w**2 + 708833 wrt w? -448898*w Differentiate -575835*c**2 + 200419 with respect to c. -1151670*c Find the third derivative of -2*z**6 - 178701*z**5 - 3019*z**2 - 2. -240*z**3 - 10722060*z**2 Find the second derivative of 515*b**4 + 97*b**2 - 427828*b. 6180*b**2 + 194 What is the second derivative of -124918*t**4 + 5*t - 1442 wrt t? -1499016*t**2 Find the third derivative of 10*k**5 + 88*k**4 + 5*k**3 + 355*k**2 - 26. 600*k**2 + 2112*k + 30 Find the third derivative of -3128624*y**3 + 3233*y**2 - 229. -18771744 Differentiate -q**3 - 145251*q*u - 12181*u - 1 wrt q. -3*q**2 - 145251*u What is the third derivative of -1328373*w**3 + w**2 - 221230*w wrt w? -7970238 Find the first derivative of -23258*c*i - 800*c + 8 wrt i. -23258*c Find the second derivative of -165*u*x**3 + 32*u - 451*x**3 + 1135*x wrt x. -990*u*x - 2706*x Find the third derivative of -5033*d*l**3 + d*l**2 - 71*d + 6*l**3 - 156*l**2 + 1 wrt l. -30198*d + 36 Find the third derivative of -c**3*t**3 - 11*c**3*t**2 + 3241*c**3*t - 2*c**2*t**3 - 36*c**2*t - c**2 - 29*t**3 + 6*t wrt c. -6*t**3 - 66*t**2 + 19446*t What is the first derivative of 201142*w**3 - 212596 wrt w? 603426*w**2 What is the second derivative of 98*a**3*p**5 - 262*a**3*p - 440*a**3 - 2338*a*p**5 wrt p? 1960*a**3*p**3 - 46760*a*p**3 Find the first derivative of 54259*n**4 - 19739 wrt n. 217036*n**3 What is the third derivative of 47*g**6 - 2*g**4 - 1242*g**3 - 1154528*g**2? 5640*g**3 - 48*g - 7452 Find the first derivative of -h**2 + 206969*h + 1241429. -2*h + 206969 What is the third derivative of 26935*t**5 - 25820*t**2? 1616100*t**2 What is the second derivative of -3*j**3*n**3 + 8*j**3*n - 12*j**2 - 7549*j*n**2 - 61*j*n + 7*j - 3*n**3 wrt n? -18*j**3*n - 15098*j - 18*n Find the third derivative of 3*v**4 - 6004*v**3 - 15382*v**2 - 1. 72*v - 36024 Find the second derivative of -99*v**4*x + 18*v**3*x**3 + 9431*v*x**3 + 12*v*x**2 wrt v. -1188*v**2*x + 108*v*x**3 Find the second derivative of 106909*d**3*t**2 + 3*d**3*t + 26*d**2 + 617*d*t - 2*t wrt t. 213818*d**3 Differentiate 558261*n + 1160824 with respect to n. 558261 What is the second derivative of 56818*s**4 + s - 30427? 681816*s**2 Find the third derivative of 2*w**4 - 12525*w**3 - 39*w**2 + 532*w + 1 wrt w. 48*w - 75150 Find the third derivative of -117298*c**3*h - c**2*h + 58251*h wrt c. -703788*h What is the third derivative of -375028*r**5*y + 11*r**2*y - 5*r*y + 2*y - 12 wrt r? -22501680*r**2*y Find the first derivative of 2105123*r**3 - 504405 wrt r. 6315369*r**2 What is the third derivative of -48432*a**3*p**3 + 2*a**3*p**2 + 8043*a**3*p wrt p? -290592*a**3 Find the second derivative of -52*d**4 - 1486*d**3 + 974637*d wrt d. -624*d**2 - 8916*d Find the first derivative of -816872*a + 984760. -816872 Differentiate -40438*s**3*u + 503394*s**3 - 15*s**2*u**3 with respect to u. -40438*s**3 - 45*s**2*u**2 Find the third derivative of -418*b**3*f**2*w - 14*b**3*f*w + 8*b**3 + 60*b**2 + 2*b*f**2 + 142*f**2*w + 1 wrt b. -2508*f**2*w - 84*f*w + 48 Find the third derivative of 32780*c**5*y - 2*c**2*y - 86*c**2 + 6*c*y - c wrt c. 1966800*c**2*y Differentiate -114*v**3 + 4*v**2 - 23164 wrt v. -342*v**2 + 8*v What is the derivative of -19*w**3 + 1900*w**2 + w - 131999 wrt w? -57*w**2 + 3800*w + 1 What is the second derivative of 38*s*u**3 + 164*s*u**2 + 8*s*u + 23048*s + 10*u**5 wrt u? 228*s*u + 328*s + 200*u**3 What is the third derivative of 14009*d*w**3 + 2*d*w**2 - 5393*d*w wrt w? 84054*d What is the derivative of -13*v**4 - v**3 - 703*v**2 - 155719 wrt v? -52*v**3 - 3*v**2 - 1406*v What is the derivative of -23*m*s**2 - 3*m*s + 40001*m - 3929*s**2 + 30 wrt s? -46*m*s - 3*m - 7858*s Find the second derivative of 898*o**3*p**4 - 645*o**3*p - o**2*p - 9*o*p**5 - 2*o*p wrt p. 10776*o**3*p**2 - 180*o*p**3 What is the third derivative of z**6 + 214092*z**4 + 2*z**2 + 2*z - 307860? 120*z**3 + 5138208*z Differentiate 75*z**2 + 5040*z - 272865 with respect to z. 150*z + 5040 Find the first derivative of -375*j**3 - 99*j - 25229 wrt j. -1125*j**2 - 99 What is the second derivative of 1079*r**3 - 52357*r wrt r? 6474*r What is the first derivative of -93808*t**3 + 2*t**2 - t - 758440 wrt t? -281424*t**2 + 4*t - 1 Differentiate -2*d**2 + 19591*d*w - 133969*w wrt d. -4*d + 19591*w Differentiate 4*f*i*u**2*x - 9*f*i*u**2 - f*i*x - 61*f*u - 139*f*x + 53*i wrt u. 8*f*i*u*x - 18*f*i*u - 61*f Find the first derivative of 674*u**4 + 24*u - 310689 wrt u. 2696*u**3 + 24 Find the third derivative of -2*g**4*k**3 - 3328*
{ "pile_set_name": "DM Mathematics" }
d without replacement from {h: 3, m: 4}. What is prob of picking 2 h and 2 m? 18/35 Four letters picked without replacement from {i: 2, a: 3, j: 4, t: 1, h: 7}. Give prob of picking 3 j and 1 t. 1/595 Calculate prob of picking 2 k and 1 x when three letters picked without replacement from kgxk. 1/4 Two letters picked without replacement from {z: 6, h: 3, u: 5, r: 3}. Give prob of picking 1 r and 1 h. 9/136 Three letters picked without replacement from {y: 9, v: 1, r: 8, d: 2}. Give prob of picking 1 r, 1 d, and 1 y. 12/95 Three letters picked without replacement from {z: 2, x: 4, d: 12, t: 1}. What is prob of picking 2 z and 1 t? 1/969 Calculate prob of picking 1 w and 3 h when four letters picked without replacement from wyxhkyjhhyhhyy. 10/1001 Two letters picked without replacement from {a: 4, k: 6, i: 2, d: 4, v: 2, m: 1}. What is prob of picking 1 v and 1 d? 8/171 What is prob of picking 2 m when two letters picked without replacement from gccdmgumccgcdcmmmcd? 10/171 What is prob of picking 1 l and 2 z when three letters picked without replacement from wwzlwvwvdldizdd? 2/455 Two letters picked without replacement from xppp. What is prob of picking 1 p and 1 x? 1/2 Two letters picked without replacement from iiiiiiiiiiiiiidiii. Give prob of picking 2 i. 8/9 Two letters picked without replacement from msssssussmsuumussts. What is prob of picking 1 s and 1 t? 11/171 What is prob of picking 2 t when two letters picked without replacement from dtdddtdtddtdtddtdd? 5/51 Three letters picked without replacement from ddpddpx. What is prob of picking 2 p and 1 x? 1/35 What is prob of picking 1 q and 1 v when two letters picked without replacement from {v: 1, q: 1, k: 1, l: 2}? 1/10 What is prob of picking 1 q, 1 m, and 1 g when three letters picked without replacement from qqqqqqgqqqgmqtg? 6/91 Two letters picked without replacement from kdkkkekydkkywwk. Give prob of picking 1 y and 1 k. 16/105 Three letters picked without replacement from xgjj. What is prob of picking 2 j and 1 x? 1/4 Four letters picked without replacement from rrrkrrrgjararrgrrrgk. Give prob of picking 1 g, 2 r, and 1 k. 132/1615 Four letters picked without replacement from {u: 12, o: 7}. What is prob of picking 2 o and 2 u? 231/646 Four letters picked without replacement from {o: 1, g: 6, m: 2, i: 1, l: 3}. What is prob of picking 3 g and 1 m? 8/143 Calculate prob of picking 2 w when two letters picked without replacement from nwnwwwnnwnwwnwnw. 3/10 Two letters picked without replacement from kxbxkkkkvkxxkkvkk. Give prob of picking 1 k and 1 x. 5/17 Three letters picked without replacement from dttddttaaata. What is prob of picking 1 a and 2 t? 2/11 Two letters picked without replacement from {u: 3, t: 5, b: 5}. Give prob of picking 1 t and 1 u. 5/26 Four letters picked without replacement from {a: 6, u: 2, v: 2, o: 10}. What is prob of picking 3 a and 1 o? 40/969 Two letters picked without replacement from tssstsstss. What is prob of picking 2 t? 1/15 Calculate prob of picking 2 j when two letters picked without replacement from jejqqqqejjddfdqjdxje. 3/38 Calculate prob of picking 1 u, 2 a, and 1 g when four letters picked without replacement from augquauaqugu. 2/33 What is prob of picking 1 y and 1 h when two letters picked without replacement from {y: 3, n: 3, h: 3, r: 3}? 3/22 Two letters picked without replacement from {m: 1, o: 2, w: 2}. What is prob of picking 1 m and 1 w? 1/5 Calculate prob of picking 2 h when two letters picked without replacement from marhnrmmhh. 1/15 Calculate prob of picking 3 q when three letters picked without replacement from dqdhqqqddd. 1/30 Two letters picked without replacement from {t: 1, p: 2}. Give prob of picking 2 p. 1/3 Four letters picked without replacement from dozczvzcqcvdvddczv. What is prob of picking 1 q, 1 c, and 2 v? 2/255 What is prob of picking 4 l when four letters picked without replacement from {m: 7, l: 7}? 5/143 Four letters picked without replacement from {l: 9, e: 3}. Give prob of picking 4 e. 0 Calculate prob of picking 2 b when two letters picked without replacement from {b: 9, h: 10}. 4/19 What is prob of picking 3 p when three letters picked without replacement from pddvpvvvpvpvvp? 5/182 Two letters picked without replacement from {d: 2, g: 1, l: 6, p: 2, u: 2, i: 4}. What is prob of picking 1 p and 1 l? 3/34 Four letters picked without replacement from yyuhyhuhhyh. What is prob of picking 2 y and 2 u? 1/55 Three letters picked without replacement from {a: 12, i: 6}. Give prob of picking 1 a and 2 i. 15/68 Calculate prob of picking 2 m when two letters picked without replacement from mbbbmm. 1/5 What is prob of picking 1 h, 1 g, and 1 j when three letters picked without replacement from {b: 4, g: 8, h: 1, r: 3, j: 1}? 1/85 Three letters picked without replacement from vvvvvccvvvvcvv. Give prob of picking 1 v and 2 c. 33/364 What is prob of picking 3 d when three letters picked without replacement from pppddddd? 5/28 Two letters picked without replacement from lhhubbhfufuhfhh. Give prob of picking 2 b. 1/105 What is prob of picking 2 b when two letters picked without replacement from bbdbuuddmd? 1/15 Calculate prob of picking 2 g and 1 t when three letters picked without replacement from {t: 7, g: 5}. 7/22 Four letters picked without replacement from {e: 14, b: 2, s: 1}. Give prob of picking 1 s, 1 e, and 2 b. 1/170 What is prob of picking 2 w when two letters picked without replacement from {f: 9, w: 3}? 1/22 Two letters picked without replacement from {t: 1, v: 1, o: 4, y: 4}. Give prob of picking 1 y and 1 v. 4/45 Two letters picked without replacement from {b: 10, y: 4}. Give prob of picking 2 y. 6/91 Four letters picked without replacement from {z: 4, v: 7, t: 3}. Give prob of picking 1 z and 3 v. 20/143 Calculate prob of picking 1 b and 1 m when two letters picked without replacement from {z: 1, n: 1, q: 1, b: 1, j: 2, m: 2}. 1/14 Two letters picked without replacement from vvlavvlvllv. What is prob of picking 1 a and 1 v? 6/55 Calculate prob of picking 1 p and 3 r when four letters picked without replacement from rprpprpppppppr. 40/1001 What is prob of picking 1 n and 1 g when two letters picked without replacement from {v: 7, h: 1, n: 3, g: 5}? 1/8 Three letters picked without replacement from hhvhvvhhhhv. What is prob of picking 2 v and 1 h? 14/55 What is prob of picking 1 l and 1 c when two letters picked without replacement from ttectxtcxlct? 1/22 Three letters picked without replacement from {r: 2, i: 3, b: 1, h: 1, s: 5}. Give prob of picking 1 r, 1 s, and 1 h. 1/22 Two letters picked without replacement from {x: 2, u: 2, k: 4, d: 2, c: 1, o: 4}. Give prob of picking 1 c and 1 u. 2/105 Four letters picked without replacement from {g: 2, v: 2, u: 1, q: 2, a: 4, c: 1}. Give prob of picking 1 a, 1 q, 1 v, and 1 g. 32/495 Four letters picked without replacement from {n: 1, f: 3, v: 4, z: 2, e: 2, p: 3}. Give prob of picking 4 v. 1/1365 Two letters picked without replacement from lnlnllllnnl. What is prob of picking 2 n? 6/55 Four letters picked without replacement from {x: 6, o: 12, k: 1}. What is prob of picking 1 x, 2 o, and 1 k? 33/323 What is prob of picking 2 z and 1 c when three letters picked without replacement from {z: 2, r: 1, c: 4, g: 2}? 1/21 Calculate prob of picking 2 e and 1 q when three letters picked without replacement from eeqe. 3/4 What is prob of picking 2 y, 1 z, and 1 r when four letters picked without replacement from {u: 6, t: 2, z: 1, y: 2, r: 1, p: 3}? 1/1365 Four letters picked without replacement from {q: 6, p: 4, r: 3}. What is prob of picking 1 r, 1 q, and 2 p? 108/715 Two letters picked without replacement from {v: 5, q: 7, x: 8}. Give prob of picking 1 q and 1 x. 28/95 Three letters picked without replacement from {v: 1, m: 2, o: 1}. What is prob of picking 1 o and 2 m? 1/4 Three letters picked without replacement from rrrrrrrrararrrwa. Give prob of picking 1 r and 2 a. 9/140 Two letters picked without replacement from {s: 4, r: 3, e: 4, b: 3, m: 2, w: 1}. Give prob of picking 1 s and 1 e. 2/17 What is prob of picking 3 t when three letters picked without replacement from nnnttntnnnnnnnnnnnt? 4/969 Three letters picked without replacement from yypyyycyyyyyyyplcyy. What is
{ "pile_set_name": "DM Mathematics" }
/((-2)/(-4)). Solve -4 + w = m for m. -2 Let p be 6 - (4 - 11)/(-7). Solve 23 - 3 = p*b for b. 4 Suppose 6*v = -m + 5*v + 67, 67 = m + 2*v. Solve -m = 4*g - 55 for g. -3 Let p = 21 + 9. Suppose 0 = p*j - 26*j. Solve j = -2*s - 2*s for s. 0 Suppose -4*m - 1572 = -1608. Solve -4*z + 25 = -m*z for z. -5 Suppose 23 = d - 3*r + 6, d + 23 = -5*r. Solve -d*y + 18 = 26 for y. -4 Let y be (0/2)/1 - -1. Let w = -96 - -98. Suppose 2 = 2*p + f - 1, w*f = -5*p + 9. Solve b + y = -p for b. -4 Let p be 0/(-2*2/4). Suppose -7 + 35 = 4*j. Suppose -2*r = 4*a - 14, -3*a + j*a - 8 = 0. Solve -r*l - l - 12 = p for l. -3 Suppose b + 0*k - 75 = -3*k, -4*k = 3*b - 220. Let f = b - 66. Solve 0 + f = 3*o for o. 2 Let h(k) = k**2 - 7*k + 57. Let y be h(7). Solve u + y = 52 for u. -5 Let g = 47 - 42. Suppose g*n = 5 + 5. Solve 5*w + n = 7 for w. 1 Suppose -85*q + 87*q = -4. Let s be 4/12 + (8/3 - q). Solve b - 1 = -s for b. -4 Let y = -151 + 152. Solve -2*o = y + 1 for o. -1 Let i(q) be the first derivative of 3*q**4/4 - q**3/3 + q - 8. Let k be i(1). Solve 2*c + 2 = k*c for c. 2 Let w be (-2)/(-4)*-10 + 1. Let l be w/(-24)*-2*-24. Suppose k - 5 = 2*x, -3*x = -k - k + l. Solve -2*j = -3*j + k for j. 1 Let y(j) = -2*j + 4. Suppose q - 4 = 0, 3*x + 5*q = -0*x + 26. Let l be (-4)/(-16) + x/(-8). Let v be y(l). Solve 6*o + 4 = v*o for o. -2 Suppose 32*i - 206 = 306. Solve 6*u = i + 2 for u. 3 Let a(r) be the first derivative of 10*r**3/3 + r**2 - r + 1. Let m = 54 + -53. Let x be a(m). Solve -9 = 4*f + x for f. -5 Let b = -501 + 509. Solve 2*i + 0*i - b = 0 for i. 4 Let j be (-2*4/8)/((-2)/14). Suppose 4*u - 8*u + 16 = 0. Let a(h) = -2*h**2 - 16*h - 9. Let t be a(-7). Solve -t = -u*f + j for f. 3 Let o(t) = t**2 + 31*t - 98. Let k be o(-34). Solve -15*n + 95 = k*n for n. 5 Suppose 0 = 5*g + 5*c + 5, -4*g + c = -4*c - 5. Solve g = 5*d + 34 - 9 for d. -5 Let o = 24 + -40. Let d = o + 19. Solve 0*h = -d*h - 15 for h. -5 Suppose -4*o - 8*o = -156. Solve -5*c - 12 = o for c. -5 Let c = 214 - 69. Let t = 171 - c. Solve 3*m - t = -11 for m. 5 Suppose 84*n - 3332 = -1148. Solve 30 = -2*k + n for k. -2 Let y be -1*(-14)/(-4)*2. Let w = y + 11. Let l be (-33)/(-8) - ((-195)/120)/(-13). Solve 12 + l = w*t for t. 4 Let s be ((-10)/(-3))/((-4)/(-6)). Let x(y) = -4*y - 18. Let t be x(-5). Solve s*l + 3 = -t for l. -1 Suppose -2*y + 4*v = -30, -11*v + 9*v - 26 = -2*y. Solve 0 = s - y*s + 50 for s. 5 Let f(q) = -q**2 + 15*q + 20. Let l be f(16). Solve 3 + 1 = -l*k for k. -1 Let z(g) = -g**3 - 8*g**2 - 3*g - 19. Let p be z(-8). Suppose 0*k - 10 = -p*k. Solve k = -4*l - 6 for l. -2 Let p = 551 - 531. Solve 0*k - 4*k + p = 0 for k. 5 Suppose 3*k - 30 = -2*k. Suppose 5*r - 17 = -k*u + 2*u, u - r - 2 = 0. Suppose 6*q - 4*g - 100 = 2*q, 4*q = 2*g + 100. Solve 2*l - q = -u*l for l. 5 Let z be (0/(-2))/(0 + -1). Suppose 0 = -4*p - z*p + 8. Let g be -10*1*((-3)/(-20) - 138/184). Solve -i - p*i = g for i. -2 Suppose 3*m = -5 + 20. Suppose -3*p + p = -5*v + 2*p, -v = -3*p. Solve 4*j + m - 1 = v for j. -1 Suppose 5 = -3*m + 14, -2*v - m + 21 = 0. Let a be -4 + (2 - (5 - 1)). Let u be 10/15 + a/v. Solve u = -5*z + 2*z + 6 for z. 2 Let u(n) = n**2 + 7*n - 6. Let g be u(-8). Suppose 0 = g*j - 6*j + 12. Let t(w) = 15*w - 3. Let m be t(1). Solve 5*p + j + m = 0 for p. -3 Suppose i - 3*s + 2*s = 10, -4*i - 4*s + 32 = 0. Solve 3*y = i*y + 6 for y. -1 Let x = 964 - 948. Solve -x*v = -5*v - 22 for v. 2 Suppose -3*u - 3 = -p + 19, -44 = 4*u - 5*p. Let n be u/(3 + -7 + 3). Solve 0 = b - n*b for b. 0 Let v(n) be the first derivative of -n**5/40 + 3*n**4/4 - 11*n**3/3 - 1. Let s(l) be the third derivative of v(l). Let x be s(6). Solve x = -3*t - 0*t for t. 0 Suppose f - 6*f = -20. Suppose -i + 30 = f*i. Let a(u) = -u + 11. Let b be a(i). Solve 0 = -6*o + o + b for o. 1 Let y be -2 + (-91 - 0) + 5. Let i = y - -94. Solve -b - 15 = -i*b for b. 3 Let z(v) = 7*v. Let y be z(-2). Let p = 20 + y. Solve -4*m + p = 22 for m. -4 Let j(a) = -a**2 + 2*a + 4. Let r be j(-2). Let z(q) = -8*q - 43. Let o(t) = -4*t - 21. Let p(g) = r*z(g) + 9*o(g). Let v be p(-8). Solve -d + v = 2*d for d. 5 Let k = -11 + 12. Let x(i) = 7*i - 1. Let p be x(k). Let n(h) = -h**3 + 7*h**2 - 6*h + 2. Let v be n(p). Solve -m - 4 = -v for m. -2 Let f(w) = 4*w**2 + 3*w - 2. Let k be f(1). Suppose v = -k*j + 369, -j - 3*v + 50 = -35. Suppose y + j = 3*c + 6*y, -54 = -4*c + 2*y. Solve 7*t = 3*t + c for t. 4 Suppose 3*u = -3, 3*p - 13 - 3 = -2*u. Suppose -2*v + p = 3*q - 2*q, 13 = v - 2*q. Solve -6*w + w + v = 0 for w. 1 Let l be (-11 + (-92)/(-10))*(-10)/6. Solve -j = -l*j - 3*j for j. 0 Let y(a) = -10*a - 15. Let u(g) = g + 1. Suppose 6 = 5*t + 1. Let j(l) = t*y(l) + 15*u(l). Let c be j(1). Solve 3*n - c*n = 6 for n. -3 Let v = 0 + 2. Let u(f) = f**2 - 5*f - 9. Let m be u(7). Suppose -w = 3*l - 21, -m*l + w + 9 + 18 = 0. Solve l + 4 = -v*x for x. -5 Let j = -882 - -885. Solve -3 = -2*y - j for y. 0 Let y(b) = 6*b - 2. Suppose -10*q + 14*q - 4 = 0. Let l be y(q). Solve l*d = d - 6 for d. -2 Let p be 3/(-15) + 64/20. Suppose -4*x = -x - 3*k + p, -5*x - 5*k + 45 = 0. Let c be 0 - (0 + -4 + x). Solve -r + 1 + 2 = c for r. 3 Suppose 0 = -2*u + 16*m - 14*m + 36, -2*u - 3*m + 11 = 0. Solve -u*x = -15*x - 2 for x. -1 Suppose 6 = 3*t + 3*g - 3, -5*t - g - 5 = 0. Let h be 8 + 6*1/t. Suppose 3*d - v = 14, h*d - d - 6 = -5*v. Solve -4*p = -d + 16 for p. -3 Let i(c) = 4*c + 2. Let y be ((-1 - 3) + 3)*1. Let m be i(y). Let l be ((-45)/10)/(1/m). Solve -4*t - l = -t for t. -3 Suppose 3*a + 5*a + a = 0. Let y = 8 - 5. Let u = 1 + 0. Solve a = m - y + u for m. 2 Suppose -2*s - s = 24. Let a(g) = -g**3 - 6*g**2 + 4*g - 8. Let t be a(-7). Let c be t/4 + 2/s. Solve -4*i + 1 = -c for i. 1 Let c(x) = x**3 - 3*x + 19. Let l be c(0). Suppose -i + v + l = 4*i, 1 = -i - v. Solve -4*s = -s + i for s. -1 Let m = -19 + 22. Suppose m*z + 5*x - 2 = -18, x = -5. Suppose z*c + 2*c - 10 = 0. Solve 0 = w - c*w + 3 for w. 3 Let c(p) = -26 + 8 - 7*p - 4. Let u be c(-4). Solve -4*h + 2 - u = 0 for h. -1 Let s = -1162 - -1177. Solve -4*u + s = 11 for u. 1 Let j = -20 + 19. Let g = 21 + j. Solve -4*x + 0*x = g for x. -5 Let h be ((-3)/6)/(-1)*2 + 0. Suppose 0 = -2*s + 2, -2*d + h = -4*s - s. Solve -d*c + 0 = -3 for c. 1 Let s(z) be the third derivative of z**5/60 + z**4/6 + 7*z**3/6 - 7*z**2. Let o be s(-3). Solve -o = -x - 2 for x. 2 Let o = 58 - 38. Suppose -5*c = -c - o. Let v be c/(-2 + (-6)/(-2)). Solve -v*t = -4 + 9 for t. -1 Let i(d) = -d**3 + 14*d**2 - 2*d + 30. Let b be i(14). Suppose 5*g = -3*r + 25, b*r - 2*g - 17 = 21. Solve -x + 4*x = r for x. 5 Suppose 39 = 9*n - 33. Solve -5*g - n*g = -26 for g. 2 Let s be (-3 - (-6)/(-2))*-3. Suppose 2*x - 15 - 6 = -3*f, -2*x - 2*f = -s. Solve x*d - 4*d = -6 for d. -3 Suppose n + 5*c - 220 = -4*n, 2*n - 82 = c. Let j be 266/n + 2/(-6). Solve 0 = j*o - o - 10 for o. 2 Suppose -2*n = -5*q - 28, -q - 8 - 2 = 4*n. Let c be (2 - 1)*(-2 - q). Solve -c*h = -h for h. 0 Suppose -3*k + 2*k - 32 = 2*n, -2*n - 8 = 0. Let d be -2*(-4)/k*-15. Suppose w - 7 = -4*l - 1, d*l - w = 12. Solve 10 = -4*r - l for r. -3 Let n be 11 - -4 - ((-120)/(-4))/5. Solve -n*u - 48 = -3 for u. -5 Let d(j) = j**3 + 26*j**2 + 2. Let y be d(-26). Suppose 14 + y = 4*u. Solve 0*p + 4*p = -u for p. -1 Suppose 22*n - 1790 = -250. Solve -n = -5*b - 50 for b. 4 Suppose 2*h - 5 = 3. Let m be -2 - 1/((-2)/h). Let b be 0 + 3 + m/4. Solve 2*s + b*s - 5 = 0 for s. 1 Let k(t) = -2*t**3 + 11*t**2 - 9*t + 25. Let o be k(5). Solve -60*j = -59*j - o for j. 5 Let b = 2 - -20. Suppose b = 12*p - 98. Solve 0*l + 2*l = -p for l. -5 Let w(h) = h**2 - 4. Let s be w(0). Let k be (-1)/(-4) - 20/16. Let n = k - s. Solve n*u = -u for u. 0 Let m be 6*(7 + (-38)/6). Suppose -4*i = -3*h - h, -6 = -4*i + h. Solve m = -i*w - 2 for w. -3 Suppose 3*a + 2*j - 27 = -0*j, 5*a = -5*j + 50. Let b be 1*a/(21/45). Solve -3*w = -6*w + b for w. 5 Suppose 2*y = 4*w - 8, -3*y - 2*w - 2*w = -18. Suppose -4*a = -4, -j + 8 = 2*a + y*a. Suppose s = 4*t - 0*s - 8, 0 = j*t - 2*s - 8. Solve -t*p + 3*p = 2 for p. 2 Let r be ((-28)/(-8) + -3)*4. Suppose -j + 1 = -v, -r*v - 3*v - 15 = 0. Let m be (-85)/(-20) - j/(-8). Solve m = 2*a + 10 for a. -3 Let y be -3 + 13 + 36 + 0/2. Solve -13*k - 6 = y for k. -4 Suppose -10 - 15 = -5*w.
{ "pile_set_name": "DM Mathematics" }
00015187 rounded to seven dps? 0.0000152 What is 139260 rounded to the nearest ten thousand? 140000 What is 0.0000022918 rounded to seven dps? 0.0000023 Round 0.00024507 to six decimal places. 0.000245 Round 12863000 to the nearest 1000000. 13000000 Round 0.00055548 to 5 decimal places. 0.00056 Round -0.00000452 to 6 dps. -0.000005 Round 5.4288 to two dps. 5.43 Round 1619 to the nearest 100. 1600 What is 3745.9 rounded to the nearest ten? 3750 Round -0.0028657 to three dps. -0.003 Round -102700000 to the nearest one million. -103000000 Round 5343.6 to the nearest one hundred. 5300 What is 36800000 rounded to the nearest one million? 37000000 Round -5286 to the nearest ten thousand. -10000 What is 0.004709 rounded to 4 decimal places? 0.0047 What is -11380000 rounded to the nearest one million? -11000000 What is -0.0000010877 rounded to seven decimal places? -0.0000011 What is 13.2663 rounded to the nearest integer? 13 What is -0.000001381 rounded to seven dps? -0.0000014 What is -0.000010266 rounded to 6 decimal places? -0.00001 Round 877900 to the nearest ten thousand. 880000 What is -0.0242 rounded to 2 dps? -0.02 What is -144.47 rounded to zero decimal places? -144 Round -223600 to the nearest 100000. -200000 Round -36.83 to the nearest ten. -40 What is -50320 rounded to the nearest one thousand? -50000 What is 0.0010769 rounded to 5 dps? 0.00108 What is 311070 rounded to the nearest one hundred thousand? 300000 Round -0.42417 to one dp. -0.4 What is -0.000001693 rounded to 7 decimal places? -0.0000017 What is -0.000019731 rounded to five decimal places? -0.00002 Round -0.00018575 to 5 dps. -0.00019 What is 0.0021162 rounded to four decimal places? 0.0021 Round 5560 to the nearest one thousand. 6000 What is -0.0000012845 rounded to 7 decimal places? -0.0000013 What is 0.000016395 rounded to 6 dps? 0.000016 Round -0.000151 to five decimal places. -0.00015 Round -0.000006522 to 7 decimal places. -0.0000065 Round 0.000194376 to 5 dps. 0.00019 What is -20403 rounded to the nearest one thousand? -20000 What is -1468.1 rounded to the nearest 10? -1470 What is -0.00001301 rounded to seven decimal places? -0.000013 What is -283170 rounded to the nearest 10000? -280000 Round 0.00371 to three decimal places. 0.004 What is 113.16 rounded to the nearest ten? 110 What is -924060 rounded to the nearest ten thousand? -920000 Round -0.001022 to four decimal places. -0.001 Round -0.00032 to three dps. 0 Round -8250000 to the nearest 1000000. -8000000 What is -5.1124 rounded to 2 decimal places? -5.11 Round 195.35 to zero dps. 195 What is 88.982 rounded to the nearest integer? 89 What is -189400 rounded to the nearest 100000? -200000 What is 3.889 rounded to 1 decimal place? 3.9 What is 34.3 rounded to the nearest integer? 34 What is -0.0000000758 rounded to 7 dps? -0.0000001 What is 116000 rounded to the nearest 10000? 120000 Round 0.0000005673 to seven dps. 0.0000006 What is -58600 rounded to the nearest one thousand? -59000 What is 0.000002944 rounded to 7 decimal places? 0.0000029 Round 89.46 to the nearest integer. 89 Round -50950000 to the nearest 1000000. -51000000 Round 0.004073 to three decimal places. 0.004 Round 197.86 to the nearest one hundred. 200 Round -0.00014 to 3 dps. 0 What is -3900.3 rounded to the nearest 100? -3900 Round 265.8 to the nearest ten. 270 What is 57.6963 rounded to 1 decimal place? 57.7 Round -877890 to the nearest ten thousand. -880000 Round 0.00000534 to 7 dps. 0.0000053 Round -0.000006772 to 6 dps. -0.000007 What is -86.6516 rounded to the nearest ten? -90 Round 0.00004295 to 5 decimal places. 0.00004 Round -6.498 to 1 dp. -6.5 What is -8.3967 rounded to 1 decimal place? -8.4 What is 0.01969 rounded to two decimal places? 0.02 What is -527100 rounded to the nearest 100000? -500000 What is -56.816 rounded to one dp? -56.8 What is -447500 rounded to the nearest one hundred thousand? -400000 What is -424 rounded to the nearest 10? -420 What is -0.00001643 rounded to five dps? -0.00002 Round 0.0009675 to six decimal places. 0.000968 What is 23712 rounded to the nearest one hundred? 23700 What is -0.122255 rounded to 2 decimal places? -0.12 Round -0.16376 to 2 dps. -0.16 What is -3432 rounded to the nearest one hundred? -3400 What is -0.000003535 rounded to 7 dps? -0.0000035 What is -43570 rounded to the nearest one thousand? -44000 What is 3777.49 rounded to the nearest 1000? 4000 What is -19.524 rounded to the nearest ten? -20 Round -761000 to the nearest one hundred thousand. -800000 What is -66.655 rounded to 1 decimal place? -66.7 What is 3848200 rounded to the nearest ten thousand? 3850000 Round 0.005366 to three decimal places. 0.005 Round -0.000102 to five dps. -0.0001 What is 10886700 rounded to the nearest 1000000? 11000000 Round 13856 to the nearest one hundred. 13900 Round -0.000001798 to seven dps. -0.0000018 What is -702.1 rounded to the nearest one hundred? -700 Round 0.854 to two decimal places. 0.85 What is 1530 rounded to the nearest one thousand? 2000 What is 4797000 rounded to the nearest one million? 5000000 What is 0.00003418 rounded to 6 decimal places? 0.000034 What is -1333.51 rounded to the nearest ten? -1330 What is 25251500 rounded to the nearest 1000000? 25000000 What is -0.00247815 rounded to five decimal places? -0.00248 Round 680 to the nearest one hundred. 700 Round 0.010333 to 3 decimal places. 0.01 What is 0.00000027145 rounded to seven decimal places? 0.0000003 Round -0.0000033733 to 6 dps. -0.000003 What is 0.327764 rounded to three decimal places? 0.328 Round -1.643 to 1 dp. -1.6 What is 0.00006762 rounded to 5 decimal places? 0.00007 What is 99.74 rounded to the nearest integer? 100 Round -5290 to the nearest one hundred. -5300 What is -0.8898 rounded to two decimal places? -0.89 What is 1.3206 rounded to 1 dp? 1.3 What is 0.5559 rounded to 1 dp? 0.6 Round -271100 to the nearest ten thousand. -270000 Round 0.0000008133 to 7 dps. 0.0000008 What is -1.334 rounded to 1 decimal place? -1.3 Round 0.055899 to 3 dps. 0.056 What is -8019000 rounded to the nearest 100000? -8000000 Round 0.82788 to three dps. 0.828 Round 0.0000035366 to 6 dps. 0.000004 Round 0.0054202 to 4 dps. 0.0054 Round -3613000 to the nearest 100000. -3600000 Round 2.39 to zero dps. 2 What is 150.8 rounded to the nearest ten? 150 What is -0.000009096 rounded to 6 decimal places? -0.000009 Round -2322000 to the nearest 100000. -2300000 Round 1242800 to the nearest ten thousand. 1240000 Round -181.4 to the nearest 10. -180 What is 337.7 rounded to the nearest one hundred? 300 What is -14.2 rounded to the nearest one hundred? 0 Round 0.000004873 to 6 decimal places. 0.000005 Round -174859 to the nearest 10000. -170000 Round -2712.6 to the nearest ten. -2710 Round -0.0000009138 to seven dps. -0.0000009 What is 0.00000853 rounded to 6 dps? 0.000009 Round 0.00351713 to 4 dps. 0.0035 What is 8.334 rounded to one decimal place? 8.3 Round -0.00009298 to 5 dps. -0.00009 Round 11.77 to the nearest integer. 12 What is -0.00001096 rounded to six dps? -0.000011 Round 0.0102 to four dps. 0.0102 What is 0.0002438 rounded to 5 decimal places? 0.00024 Round -1784000 to the nearest 1000000. -2000000 Round -0.0152862 to 4 dps. -0.0153 What is 0.000063053 rounded to six decimal places? 0.000063 What is 703220000 rounded to the nearest one million? 703000000 What is -46770000 rounded to the nearest 1000000? -47000000 What is 0.026276 rounded to two decimal places? 0.03 Round 0.0067751 to 5 dps. 0.00678 Round -0.000001857 to seven dps. -0.0000019 What is -0.0016491 rounded to 4 decimal places? -0.0016 What is 0.000002584 rounded to five dps? 0 What is 1599000 rounded to the nearest 100000? 1600000 Round 0.00004417 to five decimal places. 0.00004 Round 2.12 to one dp. 2.1 Round 0.00000106974 to 7 decimal places. 0.0000011 What is 0.00000121193 rounded to 7 decimal places? 0.0000012 Round 0.000015336 to six decimal places. 0.000015 What is -10010000 rounded to the nearest 1000000? -10000000 What is -0.00788333 rounded to 3 dps? -0.008 What is 0.10845 rounded to three dps? 0.108 What is 210.8 rounded to the nearest 10? 210 Round 21989 to the nearest 1000. 22000 Round 606173000 to the nearest 1000000. 606000000 What is 0.66747 rounded to one dp? 0.
{ "pile_set_name": "DM Mathematics" }
rder. 35, -1, -2, -69 Put 5, 36, -4, 3, 0 in descending order. 36, 5, 3, 0, -4 Put -1/5, 0.2, 1 in decreasing order. 1, 0.2, -1/5 Sort 4, -3, 3, 1339, 1 in descending order. 1339, 4, 3, 1, -3 Put 4, 18, 3, 1, -1 in decreasing order. 18, 4, 3, 1, -1 Sort -431, -5, 1, -1. -431, -5, -1, 1 Put 104, -2, 3, -1/4 in decreasing order. 104, 3, -1/4, -2 Put -1, -5, -17, 29, -3 in ascending order. -17, -5, -3, -1, 29 Sort 2, -3, -4, -84 in ascending order. -84, -4, -3, 2 Sort 3, 243, -5, -1/2, 4 in ascending order. -5, -1/2, 3, 4, 243 Sort -4, -35.9, -2 in descending order. -2, -4, -35.9 Sort -4, 2/9, -3/8, -0.1, 0.5. -4, -3/8, -0.1, 2/9, 0.5 Sort 0.5, 7/5, 2/19, -0.3 in descending order. 7/5, 0.5, 2/19, -0.3 Sort -76, 2, -3, 4, -4 in descending order. 4, 2, -3, -4, -76 Put 0, -7, -1, -10 in increasing order. -10, -7, -1, 0 Put -0.5, 4/3, -1.6, 0.5 in decreasing order. 4/3, 0.5, -0.5, -1.6 Put 30, -2, 11, -5 in decreasing order. 30, 11, -2, -5 Sort -4, -1, -78, -121 in descending order. -1, -4, -78, -121 Sort -0.3, -10, 2/5, 5 in increasing order. -10, -0.3, 2/5, 5 Sort 1, -2/19, 32 in decreasing order. 32, 1, -2/19 Sort 1, -4, 661. -4, 1, 661 Sort -10, 4, -138 in decreasing order. 4, -10, -138 Sort 15, 2, 0.2, 1, 1/7. 1/7, 0.2, 1, 2, 15 Put 0, -0.1, -21/17, -1/5, -3 in decreasing order. 0, -0.1, -1/5, -21/17, -3 Sort 5, 27, -1, -2, 2 in descending order. 27, 5, 2, -1, -2 Put -3/7, 1/4, 7, -2/3 in descending order. 7, 1/4, -3/7, -2/3 Put -4/9, -0.5, -50/7 in ascending order. -50/7, -0.5, -4/9 Sort -2/17, 0.3, 201 in decreasing order. 201, 0.3, -2/17 Put 3, 1409, 2 in decreasing order. 1409, 3, 2 Put -238, 29, -1 in decreasing order. 29, -1, -238 Sort 4, 0, -5, -3, 36 in descending order. 36, 4, 0, -3, -5 Put 4, -2, 46, 17, -0.3 in increasing order. -2, -0.3, 4, 17, 46 Sort 4, -0.2, -2/93, 8, -0.5 in ascending order. -0.5, -0.2, -2/93, 4, 8 Sort -1, -21, -14 in increasing order. -21, -14, -1 Sort 4, -3, 3, -1, 1 in descending order. 4, 3, 1, -1, -3 Put -4, -6, -3, -5 in descending order. -3, -4, -5, -6 Put 1, -3, -52 in decreasing order. 1, -3, -52 Sort 2, -0.1, -5, 4/5 in decreasing order. 2, 4/5, -0.1, -5 Put 25, -2, -3/2 in decreasing order. 25, -3/2, -2 Sort -11, -2, 0, -0.5, 0.12 in descending order. 0.12, 0, -0.5, -2, -11 Put 2, -1, -4, -58 in decreasing order. 2, -1, -4, -58 Sort -5, -29, 0 in ascending order. -29, -5, 0 Put 0, 5, -56 in decreasing order. 5, 0, -56 Sort 4, -47, -4. -47, -4, 4 Sort 3, 32, -18, 0 in decreasing order. 32, 3, 0, -18 Put 2/7, 9, 2.5 in decreasing order. 9, 2.5, 2/7 Put -4, -5, -0.1, 0.1, 0 in decreasing order. 0.1, 0, -0.1, -4, -5 Put 0.04, -1/15, -4 in ascending order. -4, -1/15, 0.04 Put -3, -2, -58/11 in descending order. -2, -3, -58/11 Sort -2, 19, 5, 0 in decreasing order. 19, 5, 0, -2 Sort -2, -1, 19, 2, 11 in decreasing order. 19, 11, 2, -1, -2 Put -3/5, -122/17, 0.5 in descending order. 0.5, -3/5, -122/17 Sort 3, -4, -152, -3 in descending order. 3, -3, -4, -152 Sort -46, 48, -1, -5, 4. -46, -5, -1, 4, 48 Sort 0, -1, 1, 3. -1, 0, 1, 3 Sort 52, 4, 5, -2 in increasing order. -2, 4, 5, 52 Sort 0, 1/7, 0.4, 3/7 in ascending order. 0, 1/7, 0.4, 3/7 Sort 17, -52, 4 in decreasing order. 17, 4, -52 Put 2, -4, 63, 5 in ascending order. -4, 2, 5, 63 Sort -4/147, -0.05, -5, -2/19, -0.5 in descending order. -4/147, -0.05, -2/19, -0.5, -5 Put 0, 3, -41 in descending order. 3, 0, -41 Sort -3/2, -2.7, -0.7 in decreasing order. -0.7, -3/2, -2.7 Put 1/27, -0.3, 3/7, 1/5, -1 in increasing order. -1, -0.3, 1/27, 1/5, 3/7 Sort 0, -1, 5, -123 in decreasing order. 5, 0, -1, -123 Sort -22, -5, 5, 12, 3. -22, -5, 3, 5, 12 Sort 3, -3, 9, -2 in decreasing order. 9, 3, -2, -3 Sort 30, 14, 2 in decreasing order. 30, 14, 2 Sort 18, 5, -9/2. -9/2, 5, 18 Sort 4, -2, -1, 2496 in decreasing order. 2496, 4, -1, -2 Sort 2, -0.5, -0.4, -7, 25 in descending order. 25, 2, -0.4, -0.5, -7 Sort 5, 23, -8, -2 in descending order. 23, 5, -2, -8 Put -2, -3, -31, 4 in decreasing order. 4, -2, -3, -31 Sort -4, 101, 1/4 in decreasing order. 101, 1/4, -4 Sort -5, -1/6, -426, 5 in ascending order. -426, -5, -1/6, 5 Sort -0.3, -65, -1/4, -0.4. -65, -0.4, -0.3, -1/4 Sort 1, -25, 2, -3, 3 in decreasing order. 3, 2, 1, -3, -25 Put 0, -3, 2006 in descending order. 2006, 0, -3 Sort 727, -0.4, 0.4, 1/10, 2 in increasing order. -0.4, 1/10, 0.4, 2, 727 Sort -54, -3, 5, 3 in increasing order. -54, -3, 3, 5 Put -0.027, -1, 0, -2/11, 0.5 in decreasing order. 0.5, 0, -0.027, -2/11, -1 Put -3, -39, -14 in ascending order. -39, -14, -3 Sort 0, 0.5, -1/2, -3, -28 in descending order. 0.5, 0, -1/2, -3, -28 Sort 1/2, -3, 1.62 in increasing order. -3, 1/2, 1.62 Sort -4, 1, -1/8, -0.1. -4, -1/8, -0.1, 1 Put 5, 0, -4, -60 in descending order. 5, 0, -4, -60 Sort 0, -4, -28 in increasing order. -28, -4, 0 Put -1, -2717, -5 in descending order. -1, -5, -2717 Sort 4, -2, 2, -48 in increasing order. -48, -2, 2, 4 Put 1, 3, 2, -104, 4 in ascending order. -104, 1, 2, 3, 4 Sort -6, 1, 2/3, -1/98 in increasing order. -6, -1/98, 2/3, 1 Sort 5909, -4, 4 in decreasing order. 5909, 4, -4 Sort -3, -15, 1 in decreasing order. 1, -3, -15 Put 22/25, -1/2, -3, 0.1, -4 in decreasing order. 22/25, 0.1, -1/2, -3, -4 Put -10, -5, -6, 3 in descending order. 3, -5, -6, -10 Sort -4/11, -1/3, -0.3 in increasing order. -4/11, -1/3, -0.3 Put -2/7, -0.5, 2/89, -1/3 in increasing order. -0.5, -1/3, -2/7, 2/89 Sort -11, -3, 0, -5, -20 in descending order. 0, -3, -5, -11, -20 Put 0, 115, 3 in ascending order. 0, 3, 115 Put -1, 0, 3, -6, 2 in ascending order. -6, -1, 0, 2, 3 Sort 34, 4, -2, 5. -2, 4, 5, 34 Put -1, 1/2, -2/13, -8/3, 1 in ascending order. -8/3, -1, -2/13, 1/2, 1 Sort -0.16, 0.8, -4, -5/6 in ascending order. -4, -5/6, -0.16, 0.8 Sort -1, -3, -823. -823, -3, -1 Sort 0, 1/5, -1/3, 9. -1/3, 0, 1/5, 9 Sort -1, 0, -5, 12, 38 in increasing order. -5, -1, 0, 12, 38 Put -2, 3, 8, 7, 4 in decreasing order. 8, 7, 4, 3, -2 Sort -0.033, -0.01, -1. -1, -0.033, -0.01 Sort 2/15, -4, -708 in ascending order. -708, -4, 2/15 Sort -4, -11, 3, -36 in ascending order. -36, -11, -4, 3 Sort -0.05, 0.01, -1.6 in increasing order. -1.6, -0.05, 0.01 Sort 6, -0.5, -2/7, -5 in descending order. 6, -2/7, -0.5, -5 Put -137, -1, 0, 5 in descending order. 5, 0, -1, -137 Sort 2, 1, 11, -2 in decreasing order. 11, 2, 1, -2 Put -24, 6, -5, 45 in increasing order. -24, -5, 6, 45 Sort -191, -5, -3 in ascending order. -191, -5, -3 Sort -726, 5, -2, 2 in increasing order. -726, -2, 2, 5 Put 0.29, -0.03, 5 in increasing order. -0.03, 0.29, 5 Sort -12, -4, 5, -1, 2 in descending order. 5, 2, -1, -4, -12 Put -3, -2/5, 0, 7 in decreasing order. 7, 0, -2/5, -3 Put 245, 0.4, -0.4, 1.3, 2 in decreasing order. 245, 2, 1.3, 0.4, -0.4 Put -2/9, -2/5, -337 in increasing order. -337, -2/5, -2/9 Sort -17, 4, -5 in increasing order. -17, -5, 4 Sort 5.4, -5, -18 in descending order. 5.4, -5, -18 Put -4, -61, 0.3, -5 in descending order. 0.3, -4, -5, -61 Sort 1, 0, 1074 in descending order. 1074, 1, 0 Sort -36, -7/6, -3, 3. -36, -3, -7/6, 3 Put -1, -4, 12, 2/9 in ascending order. -4, -1, 2/9, 12 Sort -1, 2, 3, -4 in descending order. 3, 2, -1, -4 Sort -1, 1, 0, 84 in increasing order. -1, 0, 1, 84 Sort 0, -26, 30 in descending order. 30, 0, -26 Put -2488, 2, -2, 5, -3 in increasing order. -2488, -3, -2, 2, 5 Sort 7, 0, 3, -2. -2, 0, 3, 7 Sort -2, 3, -135, 1 in increasing order. -135, -2, 1, 3 Put -0.2, 2/7, -19, 0.024 in decreasing order. 2/7, 0.024, -0.2, -19 Sort 0, 1, 5 in increasing order. 0, 1, 5 Sort 0, -3, 4, -12 in ascending order. -12, -3, 0, 4 Put 26, -5, -4, 5, -2 in descending order. 26, 5, -2, -4, -5 Sort 3, 8, -1, -2. -2, -1, 3, 8 Sort 35, -2, -3, 2, 0. -3, -2, 0, 2, 35 Sort 2, 0.3, 0.4, -3/7 in descending order. 2, 0.4, 0.3, -3/7 Sort 1, -199, 0. -199, 0, 1 Sort -30, -0.4, -4, 1 in decreasing order. 1, -0.4, -4, -30 Put 30, 3, -4, -5 in ascending order. -5, -4, 3, 30 Put 27, 4, 0 in decreasing order. 27, 4, 0 Put -2, 4, 1, 277 in decreasing order. 277, 4, 1, -2 Put 19, 5, 4 in ascending order. 4, 5, 19 Sort 67, -4, -1, 3 in descending order. 67, 3, -1, -4 Put 3, 1, 552 in descending order. 552, 3, 1 Sort 2/13, -0.22, 1/18 in ascending order. -0.22, 1/18, 2/13 Put -53, -2, -1/9, -0.2, 2 in increasing order. -53, -2, -0.2, -1/9, 2 Sort
{ "pile_set_name": "DM Mathematics" }
+ 29 = 0, -c + 1 = 0 for b. 8 Solve 6 = -3*q + 2*l, 3*q + 3*l + 4858 = 4852 for q. -2 Solve -3*v - 4*p = 31, -10 = -2*v + 5928*p - 5923*p for v. -5 Solve 3*j = 3*r - 238 + 226, r = -j - 6 for r. -1 Solve 0 = -5*i + 4*y + 77, -i - 22*y = -21*y + 26 for i. -3 Solve 4*s - h - 3 = 0, 2*s - 8*h + 11*h = -23 for s. -1 Solve 3*h - 5 + 10 = -4*v, 0 = -4*h + 3*v + 10 for h. 1 Solve 75*m + 4 = 77*m + 2*x, -2*x + 10 = -m for m. -2 Solve -3 + 0 = v, 42*v + 7*v = -3*d + 11*v - 114 for d. 0 Solve -13*x - 2*d + 116 = 145, 4*x - 4*d + 32 = 0 for x. -3 Solve 30*c - 30*c = -3*k + 15, -77 = -18*c - k for c. 4 Solve 12 = 613*y - 617*y, -d - 4*y - 9 = 0 for d. 3 Solve n - 4 = 3*y, 0 = -3*y + 19 - 16 for n. 7 Solve 6*b = 60*p - 56*p + 4, 0*b + 8 = -2*b for p. -7 Solve -5*z = -w - 23, -2*w = 4447*z - 4448*z + 1 for w. 2 Solve -5*h = 20, -3*h = 4*l - 227 + 255 for l. -4 Solve 4*k = 20, 3*k = 4*i + 12 + 23 for i. -5 Solve -2*k + 2*y + 112 = 86, -12*k + 21 = 3*y for k. 4 Solve -5*z + 26 - 36 = -2*t, t = 5 for z. 0 Solve -97658*k - 11 = -97661*k + i, 0 = -2*k + 4*i - 6 for k. 5 Solve 4*y = -3*n + 8, -y + 2*n + 1313 = 1311 for y. 2 Solve 5*v - 37 = 3*q, 3467 - 3455 = 4*v + 2*q for v. 5 Solve 2*u = -5*p - 20, 304*p - 5*u = 299*p + 15 for p. -2 Solve 104 = 14*d - 5*t, -14 = -154*d + 149*d - 4*t for d. 6 Solve -3*j + 2*m - 2 = 0, j - 5*m - 5 = 16 for j. -4 Solve 14 = -i + 11, 3*i + 13 = 4*x + 4*i for x. 4 Solve 0 = x + 3*h + 687 - 679, -2*h = -4*x + 10 for x. 1 Solve -3421 = -2*b + 2*x - 3445, -2*b - 6 = 4*x for b. -9 Solve -3*x + 165 = -5*p + 127, -3 = 3*p for x. 11 Solve 4*u = -16, -13946 = t + 4*u - 13929 for t. -1 Solve -4*n = 4*o + 4, -204*o = -207*o + 3*n + 33 for o. 5 Solve 0 = 2*f - 2637*u + 2633*u - 10, 2*u = 5*f - 1 for f. -1 Solve c - 41 = 76*b - 71*b, -3*c = 5*b + 37 for c. 1 Solve 0 = -5*y + 5*v - 5, 66*y - 4*v = 71*y - 49 for y. 5 Solve -504*s = -505*s - u - 2, -s - 16*u = 62 for s. 2 Solve -5 = 99*p - 109*p - 3*v, 2*p - 4*v - 10 - 14 = 0 for p. 2 Solve -51 = 4*h - 3*i, 4503*h + 2*i + 10 = 4502*h for h. -12 Solve -w + 31 = 2*f, -4*f - w = 370 - 437 for f. 18 Solve -2*h + 35 = 3*r, -7*r + 12*h + 67 = 13*h for r. 9 Solve x + 4*r + 24 = 5*x, 4*r = 2*x - 22 for x. 1 Solve -4*m - 68 = -4*z, 95*m + 4*z = 142*m + 885 for m. -19 Solve -20*b + 21*b - 46 = -3*j, 0 = 5*j - 5*b - 50 for j. 14 Solve 5*x + m + 125 - 143 = 0, 0 = -3*x - m + 12 for x. 3 Solve 89 = -5*q - w, -w + 36 = 4*q + 107 for q. -18 Solve v = -3*q + 162 - 159, 0 = -2*q + 4 for v. -3 Solve 2214*u - 10 = d + 2210*u, 0 = -5*d - 4*u + 22 for d. 2 Solve i - 6 = 3*w - 26, 5*i + 50 = 5*w for w. 5 Solve p + 2*a + 9 = 0, 7*a = 7*p - 5*p - 15 for p. -3 Solve 2*p + 4*k = -10, -32*k - 15 = 3*p - 33*k for p. -5 Solve 8*i = 5*k - 21, -143*i + 144*i - 3*k = -5 for i. -2 Solve -4*s = -9*r - 7, 4*r - 128 = 5*s - 144 for s. 4 Solve 0 = -4*t + 5*q + 19, -1609*q - 8 = -2*t - 1607*q for t. 1 Solve -2974*r = -2970*r + 4*d + 16, 2*r + 20 = -5*d for r. 0 Solve -10 = -3*m + o, -3*o = 3599*m - 3600*m + 14 for m. 2 Solve -5*w = -y - 11, 0 = 2*w - 418*y + 416*y + 2 for w. 3 Solve 17 = -3*f + 4*q, 39*f - 37*f = -10*q + 14 for f. -3 Solve 0 = 4623*d - 4619*d + 5*z - 22, -56 = -5*d + 8*z for d. 8 Solve 3*b - 8 = -w, 13*b + 2*w + 1727 = 1750 for b. 1 Solve 3*w + 5 = x, 5*w - 15 = -8*w - 3*x for w. 0 Solve -40*n + 7*q - 34 = -43*n, -n - 3*q = -12 for n. 9 Solve -5 = -y + 8*i - 7*i, 0 = 2*y + i - 4 for y. 3 Solve 0 = 11529*b - 11527*b - 4*p - 50, -p = 2*b - 25 for b. 15 Solve -x - 47 = -4*r - 60, -6 = -2*x + 3*r for x. -3 Solve 5*m = 5*t + 70, -1715*t + 2*m = -1718*t - 17 for t. -9 Solve 5*d = -30, 47*x - 90*x - 4*d + 6 = -49*x for x. -5 Solve 0 = 4*n - 186*d + 181*d - 2, d + 13 = 5*n for n. 3 Solve -5*g + u + 14 = 0, -4*g - 12*u + 22 = -11*u for g. 4 Solve 23 = -144*i + 73*i + 70*i - 3*a, -3*a - 15 = 0 for i. -8 Solve -2*d = 2*z - 2, -5*d + 5*z = 41 - 16 for d. -2 Solve 15 = 5*b - 2*b, -v = 130*b - 127*b - 11 for v. -4 Solve 0 = -s - 3, d = 3*s + 5 + 5 + 2 for d. 3 Solve 8 = -4*b, t + 6 = 37*b - 35*b for t. -10 Solve -18*z + 29 = -3*i - 14*z, -i = -z + 9 for i. -7 Solve 3*c = 3*h - 15, -102*c = -104*c - 4*h - 34 for c. -9 Solve -7*z = -28, 3411*z + 17 = -3*n + 3416*z for n. 1 Solve 7 = l - 3*x - 20, 45 = 5*l + 3*x for l. 12 Solve -43*p + 47*p = -2*f, 4*f = 2*f - 6*p for f. 0 Solve -2*g - 6*z + 31 = -4*g - 3*z, 12*g - 6*z + 78 = 0 for g. -2 Solve 4*l + 12 = 3*z, 25 = 3*z - 7*l - 5 for z. -4 Solve 4*c - 5*f - 17 = 0, f + 13 - 6 = 2*c for c. 3 Solve 3697 - 3694 = 3*q - 2*m, -3*q + 24 = 5*m for q. 3 Solve d - 17 = -3*z, 10*z = -3*d + 21*z - 29 for d. 5 Solve 78*n - 74*n + 22 = -2*p, 7*p + 17 = -2*n for p. -1 Solve -14 = -l - 204*z + 203*z, -419 + 170 = -26*l - 3*z for l. 9 Solve 4*r - 12 = 4*u, -5*r - 5*u - 25 + 60 = 0 for r. 5 Solve 3915*n = 3910*n + h + 11, -4*h = -n + 6 for n. 2 Solve 0 = 2*k + 3*r - 84, 24*k - 121 = 27*k - 5*r for k. 3 Solve -5 = d + a, -d = -8*a + 13*a + 25 for d. 0 Solve -3*o = -5*q + 7, 37*q + 17 = 40*q - 5*o for q. -1 Solve 4*d - 3*h + 7 = 0, 0 = 4*d - 275*h + 270*h + 17 for d. 2 Solve 0 = 3*n + 2*l - 46 + 23, 3*n + 7*l + 2 = 0 for n. 11 Solve 160*k - 2*x - 24 = 164*k, 0 = -k + x for k. -4 Solve -5*w + 141*f - 139*f - 28 = 0, 0 = -2*f - 2 for w. -6 Solve 4*b = 3 - 19, 5*b + 40 = -1437*h + 1432*h for h. -4 Solve 0 = s - v - 2, 1028*v - 1025*v = -17*s + 14 for s. 1 Solve 0 = f + 2*k + 5, 16*k = -23 - 57 for f. 5 Solve 3*s + 13*j = 9*j + 13, -3*j = 5*s - 7 for s. -1 Solve f + 5*n = 12, -f + n + 16 = 10 for f. 7 Solve -4*u = -2*l + 4, 1608*l - 24 = 3*u + 1610*l for u. -4 Solve 2*n + 8 = 4*x, 89*n - x = 93*n - 11 for n. 2 Solve 5*w + 7*g - 26 = 0, 132*w = 131*w - 5*g - 2 for w. 8 Solve y - 19 = 3*h, -939*h + 944*h + 11*y - 19 = 0 for h. -5 Solve 5*k = -3*m + 2, 3*k = 4*m + 72 - 94 for m. 4 Solve -2*n - 3 = -614*y + 617*y, 2*n + y = -0*y - 1 for n. 0 Solve 2*s + 8 = -4*d, -40*d = -42*d - 2*s for d. -4 Solve -2*v + 25 = 3*j, -j - 446 = -3*v - 436 for v. 5 Solve -o = -2*y + 5, 2*y - 4 - 5 = -3*o for o. 1 Solve -h - 304*j + 307*j - 16 = 0, -2*j = -5*h + 11 for h. 5 Solve -4*a - 19 = 3*v, 216*a - 213*a + 11 = v for v. -1 Solve -4*l = 5*t + 21, 2*t = -4*l + 45 - 75 for l. -9 Solve -2*w + 14*c - 11*c = 6*c - 12, 0 = 6*c - 7 - 17 for w. 0 Solve 3525*a = -4*c + 3526*a + 14, 4*a = -3*c + 20 for c. 4 Solve 0 = x - 3*j, -7683*x + 2*j + 17 = -7688*x for x. -3 Solve 0 = 4*m - w - 10, -4*m + 1481*w + 18 = 1476*w for m. 2 Solve -5*t - 251 + 258 = -f, 0 = -4*t + 5*f - 7 for t. 2 Solve -5*l = 8*r - 37, 26*r - 22*r - 17 = -l for r. 4 Solve 2*z + 4*h = 4, -4*h - 5*h + 36 = 0 for z. -6 Solve -h + 19 = -2*f, 0 = -333*h + 334*h - 4*f - 43 for h. -5 Solve 120*r = 115*r + 20, 5*r - 16 = 4*n for n. 1 Solve 53*k + 5*m - 9 = 56*k, -5*k - 25 = -5*m for k. -8 Solve k = -l + 6, -3*l + 13 = -242*k + 240*k for l. 5 Solve -1107 + 1129 = -y - 5*s, 2*y = 4*s + 12 for y. -2 Solve -1943*n + 1946*n = -4*j + 36, -2*j + 3*n = 0 for j. 6 Solve 0 = -p + i - 2050 + 2053, -2*p = -5*i - 18 for p. -1 Solve 3*d - 2*h = 5, -4*d - 11 = 5*h + 59 for d. -5 Solve 5*t + 5*g - 14 = -2*t, -3*t + 2*g = -6 for t. 2 Solve p + 2*q = -19, 45*p - 40*p = 3*q + 48 for p. 3 Solve -70 = 126*y - 121*y - 5*n, -2*n = 4*y - 4 for y. -4 Solve 8*n + 4 = -2*l - 10, 5*l + 2*n = 19 for l. 5 Solve -2*d = -r - 21, -733 = -d - 2*r - 735 for d. 8 Solve -2*z = -f - 7, -102*f - z + 26 = -98*f for f. 5 Solve 2*h - 58 = 2*i - 62, 6*i - 34 = -5*h for i. 4 Solve -5*r = k + 15, -54*r = -52*r - 2*k + 6 for r. -3 Solve 0 = -46*x + 20*o - 16*o + 116, 2*o = -4*x - 4 for x. 2 Solve 5*x = 5*v - 45, -15 = 3*v - 42 for x. 0 Solve -1781 + 1763 = 2*i + j + j, -33 = 5*i + 2*j for i. -5 Solve -5*v - 15 = -j, 3*j - 9 = -15*v + 12*v for j. 5 Solve 61866*h = 61870*h - 5*z - 3, -4*z + 14 = 5*h for h. 2 Solve -4*u + 3*d = 19, 8308*d = 8306*d + 10 for u. -1 Solve -3*n = -55*t + 54*t, -19 = -4*n - 5*t for n. 1 Solve 0 = -10*a + 5*g + 5 - 15, -67*a - 2*g = -66*a + 11 for a. -3 Solve -6388*j + 2*t = -6387*j - 4, -4*j + t = -16 for j. 4 Solve 2*j = 10, 50*p - 52*p - 17 = -3*j for p. -1 Solve h - 68 + 73 = -2*d, 0 = -5*h - 15 for d. -1 Solve 5*l + 102 - 92 = -5*j, -37 = 5*j - 4*l for j. -5 Solve 0 = 5*v - 3*h - 8, 2*v - 3*h - 25 + 11 = 0 for v. -2 Solve 3*c + 146*u = 150*u + 7, 3*c - u - 4 = 0 for c. 1 Solve -18504*i - 5*a
{ "pile_set_name": "DM Mathematics" }
in kilograms? 20500 Convert 773130.2 weeks to milliseconds. 467589144960000 Convert 313.9511l to millilitres. 313951.1 What is 14417.67 litres in millilitres? 14417670 How many millimeters are there in one twentieth of a meter? 50 Convert 1486.73286ns to days. 0.00000000001720755625 How many micrograms are there in 1/5 of a milligram? 200 What is 4842.459ns in minutes? 0.00000008070765 What is 89.74485 decades in centuries? 8.974485 What is 26/5 of a tonne in kilograms? 5200 How many decades are there in 13611.834 months? 113.43195 What is twenty-nine halves of a milligram in micrograms? 14500 How many decades are there in five quarters of a millennium? 125 What is 3/5 of a decade in months? 72 What is 18/5 of a microgram in nanograms? 3600 What is 9.15117s in minutes? 0.1525195 What is fourty-three thirds of a week in hours? 2408 What is twenty-one halves of a litre in millilitres? 10500 Convert 0.5939705 days to minutes. 855.31752 What is 5183.562 weeks in minutes? 52250304.96 What is five sixths of a decade in months? 100 How many years are there in eleven halves of a millennium? 5500 What is one quarter of a centimeter in micrometers? 2500 What is 0.8785461 years in centuries? 0.008785461 How many litres are there in 737852.5 millilitres? 737.8525 Convert 46.44509t to kilograms. 46445.09 Convert 958126.6 years to months. 11497519.2 How many kilograms are there in 1/10 of a tonne? 100 Convert 8189.368 litres to millilitres. 8189368 What is 2514863.7 milliseconds in minutes? 41.914395 What is 444.3528mg in grams? 0.4443528 What is fourty-two fifths of a century in decades? 84 What is 3/8 of a centimeter in micrometers? 3750 What is 13/4 of a millisecond in microseconds? 3250 How many meters are there in 0.0945895 nanometers? 0.0000000000945895 What is 29/2 of a century in months? 17400 Convert 36.89232 years to centuries. 0.3689232 How many grams are there in twenty-seven halves of a kilogram? 13500 What is 3/10 of a decade in months? 36 How many millilitres are there in 31/2 of a litre? 15500 How many decades are there in 45/2 of a century? 225 How many years are there in fifty-two fifths of a millennium? 10400 What is 7/4 of a kilogram in grams? 1750 Convert 28.31611 litres to millilitres. 28316.11 How many milligrams are there in 854.3318 micrograms? 0.8543318 Convert 765.9613 tonnes to grams. 765961300 What is 12868032.87s in weeks? 21.276509375 How many seconds are there in thirty-four ninths of a hour? 13600 What is fifty-seven fifths of a decade in months? 1368 Convert 63.75757m to millimeters. 63757.57 How many centuries are there in 3/5 of a millennium? 6 How many millilitres are there in 7/2 of a litre? 3500 What is 1/5 of a meter in millimeters? 200 How many kilometers are there in 0.9466389um? 0.0000000009466389 What is fifty-one fifths of a kilometer in meters? 10200 How many millilitres are there in 33/5 of a litre? 6600 What is twenty-one halves of a year in months? 126 What is thirteen quarters of a day in hours? 78 How many milliseconds are there in 1/4 of a second? 250 What is 42/5 of a hour in seconds? 30240 How many centimeters are there in 0.8119094um? 0.00008119094 How many years are there in thirty-four fifths of a decade? 68 What is 951844.3mm in nanometers? 951844300000 Convert 33.05711 nanoseconds to microseconds. 0.03305711 What is 34.54549 tonnes in nanograms? 34545490000000000 How many microseconds are there in 326151.4 hours? 1174145040000000 Convert 0.0395822 millennia to decades. 3.95822 Convert 53875.88um to kilometers. 0.00005387588 How many years are there in 3/5 of a millennium? 600 Convert 1138129.2 minutes to days. 790.3675 How many milligrams are there in 35.66716 nanograms? 0.00003566716 What is 33/5 of a meter in millimeters? 6600 How many centimeters are there in eleven halves of a meter? 550 What is 457019.4 months in millennia? 38.08495 Convert 3546.1mg to micrograms. 3546100 What is 0.410905t in nanograms? 410905000000000 What is twenty-seven halves of a litre in millilitres? 13500 Convert 7.357493ug to tonnes. 0.000000000007357493 What is 3/50 of a litre in millilitres? 60 Convert 403.764 tonnes to nanograms. 403764000000000000 How many days are there in fourty-eight sevenths of a week? 48 How many meters are there in seven eighths of a kilometer? 875 Convert 2774.985 years to centuries. 27.74985 Convert 7.201535l to millilitres. 7201.535 What is 2405723.1 milliseconds in minutes? 40.095385 What is eleven halves of a millennium in decades? 550 What is 18/5 of a meter in centimeters? 360 What is 17/2 of a meter in centimeters? 850 How many millilitres are there in 13/4 of a litre? 3250 What is 94353.22t in milligrams? 94353220000000 Convert 1015.465 grams to tonnes. 0.001015465 Convert 478.0447 nanograms to grams. 0.0000004780447 How many grams are there in 12/25 of a kilogram? 480 What is 27/5 of a centimeter in micrometers? 54000 How many milligrams are there in thirteen fifths of a gram? 2600 How many grams are there in 1/16 of a tonne? 62500 What is 254.025099ns in days? 0.0000000000029401053125 How many months are there in 5410.397 years? 64924.764 How many nanograms are there in 3/10 of a microgram? 300 How many millilitres are there in 810.5722l? 810572.2 What is 4603.186 millennia in months? 55238232 How many hours are there in 5/24 of a day? 5 How many milligrams are there in 17/4 of a gram? 4250 How many millilitres are there in 3/5 of a litre? 600 Convert 1112.739ng to kilograms. 0.000000001112739 What is 0.2136099nm in micrometers? 0.0002136099 What is 731025.2ns in seconds? 0.0007310252 Convert 97914.285ms to weeks. 0.0001618953125 How many centimeters are there in one quarter of a kilometer? 25000 How many millimeters are there in 31/2 of a centimeter? 155 How many nanograms are there in 7.798429 kilograms? 7798429000000 How many millilitres are there in 33/5 of a litre? 6600 What is 64/3 of a year in months? 256 Convert 8738.124nm to micrometers. 8.738124 How many millilitres are there in 16.15028 litres? 16150.28 How many millimeters are there in 3/5 of a centimeter? 6 What is 16519.9 micrometers in millimeters? 16.5199 What is 1/9 of a day in minutes? 160 What is 6.12701 hours in milliseconds? 22057236 How many micrometers are there in 17/4 of a centimeter? 42500 What is seven eighths of a day in seconds? 75600 What is twenty-seven halves of a millennium in years? 13500 How many centuries are there in 2.52738 months? 0.00210615 How many milligrams are there in three eighths of a gram? 375 Convert 7.376267 litres to millilitres. 7376.267 Convert 228551.8 millennia to centuries. 2285518 How many millimeters are there in 1/5 of a meter? 200 Convert 2.68242 weeks to hours. 450.64656 How many millilitres are there in 3/8 of a litre? 375 Convert 2.4740649 months to decades. 0.0206172075 Convert 7700.937 millilitres to litres. 7.700937 How many meters are there in 81.01335mm? 0.08101335 How many seconds are there in 1/9 of a day? 9600 What is thirty-two ninths of a day in minutes? 5120 How many centuries are there in 441.8325 decades? 44.18325 How many decades are there in 0.4668074 millennia? 46.68074 Convert 44252.62m to nanometers. 44252620000000 What is 51/2 of a kilogram in grams? 25500 What is 541202.2 kilometers in millimeters? 541202200000 How many millennia are there in 3.31523 centuries? 0.331523 What is 29/5 of a litre in millilitres? 5800 How many millilitres are there in 6/25 of a litre? 240 Convert 7419.81l to millilitres. 7419810 How many grams are there in five quarters of a kilogram? 1250 How many millilitres are there in 17/2 of a litre? 8500 How many meters are there in 27/4 of a kilometer? 6750 How many meters are there in 1/20 of a kilometer? 50 How many grams are there in nineteen quarters of a kilogram? 4750 What is one sixteenth of a kilogram in milligrams? 62500 How many millimeters are there in 55/2 of a centimeter? 275 What is fifty-two thirds of a century in months? 20800 How many kilograms are there in 495068.7t? 495068700 How many micrograms are there in 3/40 of a milligram? 75 What is 1/4 of a century in years? 25 What is 1518286.14us in days? 0.00001757275625 How many minutes are there in eight thirds of a week? 26880 How many nanograms are there in 5
{ "pile_set_name": "DM Mathematics" }
b = 7671/79882 + 1517585759/16974925. Let v = b + -1532/17. Find the common denominator of v and 37/16. 400 Calculate the common denominator of 3141/231 + (30 - 43) and -68/147. 1617 Suppose 12 - 348 = 8*p. What is the least common multiple of (-1 + p/1 - 5)*-1 and 16? 48 Let a be (-3)/(-6) + (-5)/2. What is the common denominator of -2/55 and 12/a - 140/(-77)? 55 Let c = -18653 + 298347/16. What is the common denominator of c and ((-8075)/(-1344))/17 - 8/24? 448 Let z = -270127/169386 - 2/4033. Calculate the common denominator of z and -67/948. 6636 Suppose -32*p - 50*p = 125828 - 475640. Calculate the least common multiple of p and 1422. 4266 Let s = 5859530140577/501744592 + -1/31359037. Let g = -11673 + s. What is the common denominator of 33/52 and g? 208 Calculate the common denominator of 43/114 and ((-4)/(-7) - (-98370)/(-172368))/(19/2698). 684 Let k = 6414 - 679873/106. What is the common denominator of -79/8 and k? 424 Calculate the least common multiple of 19/(133/35) + 7 and 4146. 8292 Let r = 11113 - 177745/16. Let g = 1441/112 - 145/14. Let n = g - r. What is the common denominator of n and 8/7? 7 Let n be 1/(-7 + (-162)/(-24)). Find the common denominator of -42/5 and (n - (-338)/195) + 4 + 1. 15 Let j = 2805343/56 - 50097. Find the common denominator of (0 + (-10)/((-40)/12))/(-35) and j. 280 Let v(b) = -88*b - 22. Let d be 1 - (-3 - -12 - 7). What is the lowest common multiple of v(d) and 66? 66 Let s = -52 + 72. Let p(b) = -20*b**2 + s*b + 2*b**2 - 29 + b**3 - b**2. Calculate the least common multiple of 1 and p(18). 7 Suppose -q = 3 - 6. Suppose -24 = -2*c + 18*a - 15*a, 0 = -2*c + 4*a + 20. What is the least common multiple of (c/5 - (-3)/(-5))*q and 8? 72 Suppose 9*x - 27*x = -m - 284, -2*x = 4*m - 48. What is the least common multiple of 288 and x? 288 Let l(u) = 14*u**2 + 86*u - 12. What is the least common multiple of 768 and l(5)? 768 Let g(c) = 2*c**2 - 2*c - 1. Calculate the lowest common multiple of 97 - (34 + 110/(-10)) - -4 and g(5). 78 Suppose -3*g - 43722 = 3*v - g, 4*g = -4*v - 58296. Let a = -7048329/484 + -7352/363. Let i = a - v. Calculate the common denominator of i and 68/33. 132 Let v = 388763/1609503 - 1/21898. What is the common denominator of 28/69 and v? 6762 Let o be (-367*(-5)/(-430) + 1)/41. Let q = 33965/43 - 790. Let x = o - q. Find the common denominator of x and -1/6. 246 Suppose -120 = 8*a - 13*a. Suppose 3*v - 3*i = 0, 23 + 7 = 5*i. What is the lowest common multiple of a and v? 24 Suppose -2*h + 3*v - 4*v + 68 = 0, -5*v = -4*h + 122. Let r(q) = 4*q**2 + 3 + 4*q**2 - 5*q**2 - q**2. Calculate the lowest common multiple of h and r(-3). 231 Suppose 3*s = 2*k + 141, -4 + 91 = 2*s + k. What is the least common multiple of 36 and s? 180 Let g be (-26)/(2 + -1) + -4. Find the common denominator of (-477)/132*(4 + g/9) and -19/18. 198 What is the common denominator of -3*(-82)/48 - 6/(-2) and (-167)/(-240) + 2 - (-448)/(-336)? 80 Let a be (-4)/4*(3 - 5)*-2. Find the common denominator of 83/8 and (10100/315)/10 + a/(-18). 56 Let y = 1691759/687 + 297489143/10534. Let d = y + -30703. Find the common denominator of 53/5 and d. 690 What is the common denominator of -59/154 and 2008/990 + (-95)/(-25) + -5? 1386 Let w = -265 - -195. Let j be 2*(-3 + 20) - 2. Find the common denominator of -47/42 and w/j + 6 + -9. 336 Suppose -1207 = 4*r - 351. Calculate the common denominator of (r/12)/(-13 - -12) and (-20)/180 - 134/(-54). 54 Let f(r) = -8*r - 134. Let b be f(-13). What is the lowest common multiple of b/8*9856/(-264) and 112? 560 What is the common denominator of -42/19 and 30/203*973/2224? 4408 Let a = 6423/850 - 24/425. What is the common denominator of -91/5900 and a? 5900 Let p be 1 - 2/48*702467. Let n = -29263 - p. Let d = 486243 + -10211150/21. Find the common denominator of d and n. 168 Suppose c - 10*m + 12*m = 1767, -5322 = -3*c - 3*m. What is the smallest common multiple of 104 and c? 14248 Calculate the lowest common multiple of ((-110)/(-77))/(6/1260) and 50. 300 Suppose 4*w = -17*b + 1621, 38 + 356 = w + 2*b. What is the least common multiple of 48 and w? 384 Let z(k) = -1985*k**2 - 4*k - 4. Let c be z(-2). Calculate the common denominator of -49/2 and ((-2)/8)/(93/c). 6 Suppose 5*o - 4*o + 1 = -v, 0 = -4*v - o - 19. What is the common denominator of 56/55 and (1177/(-132))/(40/v)? 880 Let x be (-1 - -4)*(-356)/(-12). Calculate the common denominator of 61/58 and 14/28*x/(-5)*-1. 290 What is the common denominator of 63/(-30)*162/2058 and -50/637? 6370 What is the least common multiple of (-18)/16*(-80)/12*(-529788)/(-1785) and 1590? 11130 Let z be (-137)/(-2)*(-5 + -9). Let u = -660016145/685464 - 1/171366. Let m = u - z. What is the common denominator of 35/16 and m? 16 Calculate the lowest common multiple of 1602 and 712 + -1 - -8*(810/(-48) - -17). 6408 Find the common denominator of (-262)/20 + 1512/1080 and (-1772)/1384 - (0 + -1). 1730 Let g = 31 + -21. Suppose -715*f + 189541 = -136499. What is the least common multiple of g and f? 2280 Suppose -82 = -3*i + 23. Calculate the least common multiple of 294 and i. 1470 Let l(h) = -2*h**3 + 12*h**2 + 10*h - 5. Let b be l(7). Let m = b - -223/5. What is the common denominator of m and -28/219? 1095 Let u = 2/201048123 + -76185778874165/17692234824. Let a = 4306 + u. Calculate the common denominator of a and -53/8. 88 Suppose 3*l = 55 + 26. Let i = -31717/60 - -2696/5. What is the common denominator of i and (3/2)/(l/657)? 12 Suppose 0 = 5*b + 3*p - 8622, -2*b - 232*p + 235*p + 3474 = 0. What is the lowest common multiple of b and 32? 1728 Suppose -5*n + 10 + 5 = -3*f, 0 = 4*f + 4*n - 12. Suppose 4*b - 17 - 31 = f. Let r(p) = 357*p - 2463. What is the smallest common multiple of r(7) and b? 36 Suppose 46*h + 591 + 99 = 0. Calculate the common denominator of 73/99 and 49/h*21/154. 990 Let l = -18747 + 19839. Calculate the least common multiple of l and 3432. 24024 Let g be (-286)/(-4) + (7/2)/7. What is the common denominator of 1/(-4 + 5) - 118/g and 17/2? 36 Suppose -2*r = 3*h + 1, -78 = -12*h + 8*h + 3*r. What is the smallest common multiple of (24/10)/(4/190) and h? 342 Let v(t) = -18059*t**2 - 2*t + 1. Let b be v(1). Let o = 577869/32 + b. Calculate the common denominator of o and (-2 - -8) + (44/32*-2 - -1). 32 Let w = 37873/500 - 1521/20. Find the common denominator of (4/(-16))/((-140)/(-64)) and w. 875 Let v = -2714 - -75973/28. What is the common denominator of 4/10 - (-371)/(-1960)*-6 and v? 28 Let j(u) be the third derivative of 2*u**5/15 - 5*u**4/24 - 5*u**3/2 + 83*u**2. Calculate the lowest common multiple of j(-3) and 24. 72 Let t = 108 + -144. What is the least common multiple of 54 and (505/303)/((50/t)/(-5))? 54 Suppose 2*j + 0*j - 1235 = 333. Calculate the least common multiple of 196 and j. 784 Let v = 666915869/19756 - -786005/449. Let z = v - 35506. Let k = 133321/14 + -9528. What is the common denominator of k and z? 308 Let w(h) = -32*h + 30. Let u be w(0). What is the lowest common multiple of 21 and (-1656)/(-60)*u/4? 1449 Calculate the common denominator of 61/297 and (2/(-3))/((-10)/(-9)) - 10224/(-5940). 297 Let m(s) = -s**3 - 7*s**2 - 6*s + 2. Let z be m(-6). Suppose z*h = -2*d + 5*h + 32, -3*d = h - 26. What is the lowest common multiple of 3/4 + 39/12 and d? 20 Let q = -42874 - -515011/12. Let s = q + -153/4. Calculate the common denominator of -121/24 and s. 24 Suppose -10944 = 3*q - 1452. Let c = -85444/27 - q. Let k = 23659/264 - 719/8. What is the common denominator of k and c? 594 Suppose -2*d - 2*d = 4*t - 4630652, -5*t = -4*d - 5788351. Let a = t + -31281133/27. Let m = 894 + a. Calculate the common denominator of m and -83/12. 108 Let l(n) = 5*n**2 - 7*n + 4. Let z be l(4). Let u = -58 + z. Calculate the common denominator of -151/6 and (u/5)/((-20)/(-1375)). 6 Let w(m) = -3*m**2 - 22*m + 6. Let z be w(-12). Find the common denominator of -59/14 and (-36)/z*254/8. 126 Suppose -9*b + 148 = -23. Calculate the smallest common multiple of (22 - b)/((-1)/(-12)) and 16. 144 Suppose 64*f - 59*f = -4*b + 65, 0 = -5*f + 5. Let r = 35 - 20. Calculate the lowest common multiple of b and r. 15 Let p be -3 + 7/((-7)/3)*-1. Suppose 3*q + 8*l - 6*l = 80, -q + 4*l + 8 = p. What is the lowest common multiple o
{ "pile_set_name": "DM Mathematics" }
1/6 in descending order. 1/6, 0, -0.8 Put 2/21, 3/5, -2/23 in descending order. 3/5, 2/21, -2/23 Put 2, -37, 4, 0 in ascending order. -37, 0, 2, 4 Put -19, 6, 3 in descending order. 6, 3, -19 Sort 45, 1, 34, -5. -5, 1, 34, 45 Sort 5, 0, 0.4, -3 in ascending order. -3, 0, 0.4, 5 Put 3, -4, -224 in ascending order. -224, -4, 3 Sort 10, 1/3, -1/10, -1/7 in descending order. 10, 1/3, -1/10, -1/7 Sort -3/2, -3, -0.3, -9. -9, -3, -3/2, -0.3 Sort 2.3, 1, -2, -2/5 in descending order. 2.3, 1, -2/5, -2 Sort 53, -2, 2. -2, 2, 53 Sort 0.07, 2, 1/3 in descending order. 2, 1/3, 0.07 Sort -1.7, -2/7, 0, 4 in descending order. 4, 0, -2/7, -1.7 Put 9, -63, -3, 3 in descending order. 9, 3, -3, -63 Sort 5, -4, 0, 2/15 in ascending order. -4, 0, 2/15, 5 Put -3/16, -1/8, -2/17, 2 in ascending order. -3/16, -1/8, -2/17, 2 Sort -2, 2, 4/5 in decreasing order. 2, 4/5, -2 Sort -4, 3, 5, -102. -102, -4, 3, 5 Sort 51, -1, -4 in descending order. 51, -1, -4 Put 7, 4, 3, -0.1 in increasing order. -0.1, 3, 4, 7 Sort -9, -0.08, 1/6. -9, -0.08, 1/6 Put 4, -1, 11 in ascending order. -1, 4, 11 Sort -3, 0.2, 0.3 in descending order. 0.3, 0.2, -3 Put -4, 2, 3, 4 in increasing order. -4, 2, 3, 4 Put 3/7, -1/7, -0.23, -5 in decreasing order. 3/7, -1/7, -0.23, -5 Put 14, -1, 4 in decreasing order. 14, 4, -1 Sort 8/9, -64, -1/5, -3/8 in decreasing order. 8/9, -1/5, -3/8, -64 Put -0.5, -0.4, -0.6 in decreasing order. -0.4, -0.5, -0.6 Sort 5, -41, 4 in ascending order. -41, 4, 5 Put -36, -47, 1 in descending order. 1, -36, -47 Put 3, -3, 4, 0 in increasing order. -3, 0, 3, 4 Put 0.24, -0.3, -1/19 in ascending order. -0.3, -1/19, 0.24 Sort 15, -3, -18, 2, -4. -18, -4, -3, 2, 15 Sort -3, -4, 2, -60 in descending order. 2, -3, -4, -60 Sort 6, 1, 123, 5 in ascending order. 1, 5, 6, 123 Put 5/2, 2, 1/6, -5 in decreasing order. 5/2, 2, 1/6, -5 Put -1, -5, 4, 2 in decreasing order. 4, 2, -1, -5 Sort 2/11, 4, -4, -3, -34 in ascending order. -34, -4, -3, 2/11, 4 Put 9, 130, 2, 5, -2 in decreasing order. 130, 9, 5, 2, -2 Put 62.8, -2, 1/5 in increasing order. -2, 1/5, 62.8 Sort 1/9, 5, -5, -0.5. -5, -0.5, 1/9, 5 Sort 87, 3, 4. 3, 4, 87 Put 4, -6, -2, 35 in descending order. 35, 4, -2, -6 Sort -4, 62, 3 in ascending order. -4, 3, 62 Sort -2/17, -14, -1/3 in increasing order. -14, -1/3, -2/17 Sort -1519, -4, -0.4, -0.1 in descending order. -0.1, -0.4, -4, -1519 Put -2/5, 8, 2, 0.1, 5/2 in decreasing order. 8, 5/2, 2, 0.1, -2/5 Put -1/20, 1, -1, 2 in decreasing order. 2, 1, -1/20, -1 Sort 4, -5, 185, 3. -5, 3, 4, 185 Sort 2, -3, 351 in ascending order. -3, 2, 351 Sort -2, -10/13, 13/4, -1 in descending order. 13/4, -10/13, -1, -2 Put 1/7, -3/7, -3/26, 2 in ascending order. -3/7, -3/26, 1/7, 2 Sort 5, -519, 1 in increasing order. -519, 1, 5 Sort -8/11, 3/4, 0.5 in descending order. 3/4, 0.5, -8/11 Put 1/5, 0.3, -1.67 in ascending order. -1.67, 1/5, 0.3 Put -1, 109, 2 in descending order. 109, 2, -1 Sort -13, -5, -1 in increasing order. -13, -5, -1 Sort 3, 0, 4, -7 in decreasing order. 4, 3, 0, -7 Sort -10.6, 2, 1 in decreasing order. 2, 1, -10.6 Put -5, -8, -3 in descending order. -3, -5, -8 Sort -8, -1, -3, 3 in decreasing order. 3, -1, -3, -8 Put -5, 3, 7, -4 in descending order. 7, 3, -4, -5 Put -6, 2, 1/3, 0.2 in decreasing order. 2, 1/3, 0.2, -6 Put 0.06, 3/8, -1.86, 2/3 in ascending order. -1.86, 0.06, 3/8, 2/3 Sort -5, -727, 3 in ascending order. -727, -5, 3 Sort 1/3, -3/2, -79 in descending order. 1/3, -3/2, -79 Sort 11, 4, 0, 6 in descending order. 11, 6, 4, 0 Sort 1/12, 8, 2/7. 1/12, 2/7, 8 Sort 3, 0, -21, -4 in increasing order. -21, -4, 0, 3 Put -3, -2, 6, 1 in decreasing order. 6, 1, -2, -3 Sort -6, 2, 1, -74. -74, -6, 1, 2 Sort 5, -1, 3/4, 1, -0.1. -1, -0.1, 3/4, 1, 5 Sort 4, 0, 36, -4. -4, 0, 4, 36 Sort 0.3, -10, -0.2 in descending order. 0.3, -0.2, -10 Sort 39, 3, -3. -3, 3, 39 Sort 19/4, 5, 1.7. 1.7, 19/4, 5 Sort 3, -5, -1, -56. -56, -5, -1, 3 Sort 1, 4, -3, 5, 40 in descending order. 40, 5, 4, 1, -3 Put -28, -15, -2, 4 in descending order. 4, -2, -15, -28 Sort 7, -0.3, 0.14, 1.8 in ascending order. -0.3, 0.14, 1.8, 7 Sort -289, 0, -2 in decreasing order. 0, -2, -289 Put 0.17, -0.2, 8/21 in decreasing order. 8/21, 0.17, -0.2 Put 3, 1, 5, -132 in ascending order. -132, 1, 3, 5 Sort 4, -1, 10, 5 in increasing order. -1, 4, 5, 10 Put 4, -51, -5 in decreasing order. 4, -5, -51 Sort -20, -1, 17 in decreasing order. 17, -1, -20 Put -8.8, -1, 0.3, 2/11 in decreasing order. 0.3, 2/11, -1, -8.8 Put 11, 2/3, 29, 1 in decreasing order. 29, 11, 1, 2/3 Sort 32, 3, 5 in decreasing order. 32, 5, 3 Sort -5, -15, 18, -0.5 in increasing order. -15, -5, -0.5, 18 Sort -2, 2, 50, 5. -2, 2, 5, 50 Sort 1, -7149, 5 in descending order. 5, 1, -7149 Put -5, -2, -23, -3 in increasing order. -23, -5, -3, -2 Put 3, 14, -3, -1 in descending order. 14, 3, -1, -3 Sort -3, -2, -5, 2. -5, -3, -2, 2 Put -0.073, 0.4, -1/3 in descending order. 0.4, -0.073, -1/3 Sort 1, -2/5, 0.3, -3 in descending order. 1, 0.3, -2/5, -3 Put 1, -33, 5, 2 in increasing order. -33, 1, 2, 5 Sort -0.1559, 2/11, 2/5 in descending order. 2/5, 2/11, -0.1559 Sort 3, 108, 0, 1 in increasing order. 0, 1, 3, 108 Sort -2, -0.1, -1/12, 0.49. -2, -0.1, -1/12, 0.49 Sort -13, 1, -2 in descending order. 1, -2, -13 Sort 0.2, -5, 10/27, -0.5. -5, -0.5, 0.2, 10/27 Sort -17, -2, 0 in decreasing order. 0, -2, -17 Sort -4, -90, 5 in descending order. 5, -4, -90 Put -3/2, 0.044, 2, -9/4, -3 in increasing order. -3, -9/4, -3/2, 0.044, 2 Sort 16, 1, -17. -17, 1, 16 Sort -16.45, -2, 1/6. -16.45, -2, 1/6 Put 2, 5, 1, -10 in decreasing order. 5, 2, 1, -10 Sort 366, -3, 2, -5, 5. -5, -3, 2, 5, 366 Sort -0.07, -1/6, 3/8, 3 in ascending order. -1/6, -0.07, 3/8, 3 Put 1/4, -3, 0, -6 in decreasing order. 1/4, 0, -3, -6 Sort 0, 3, -4, -0.3, -18. -18, -4, -0.3, 0, 3 Put -2/9, 0.01, 9/4, -0.2 in decreasing order. 9/4, 0.01, -0.2, -2/9 Put -14, -1, -5, -2 in decreasing order. -1, -2, -5, -14 Sort -2/5, 23, -23 in descending order. 23, -2/5, -23 Sort -1/4, 1, -1, 20.3 in increasing order. -1, -1/4, 1, 20.3 Sort 5, 12, -2, 17 in descending order. 17, 12, 5, -2 Sort -3, 0, -2, -125, -5. -125, -5, -3, -2, 0 Put 0, 47, -2, -6 in decreasing order. 47, 0, -2, -6 Put -4, 12, -5, 4 in decreasing order. 12, 4, -4, -5 Sort -4, -27.1, -2, 8. -27.1, -4, -2, 8 Put 0.2, -1, -103, -5 in descending order. 0.2, -1, -5, -103 Sort -0.2, 2/15, -5, 10, -2/103. -5, -0.2, -2/103, 2/15, 10 Sort 0, -1, -12, 5 in descending order. 5, 0, -1, -12 Put 0, 6, 3, -5, -1 in increasing order. -5, -1, 0, 3, 6 Put -1, 0.4, 0.2, 0.3, -1.5 in decreasing order. 0.4, 0.3, 0.2, -1, -1.5 Sort 3, 4, 1, -1/41 in descending order. 4, 3, 1, -1/41 Put 0, 2, -0.12, 7 in descending order. 7, 2, 0, -0.12 Sort -8/7, 0.4, -0.4, -3 in ascending order. -3, -8/7, -0.4, 0.4 Sort -0.3, 2/9, 98, -1/5. -0.3, -1/5, 2/9, 98 Sort 2, -0.057, -8/5 in ascending order. -8/5, -0.057, 2 Put -57, -0.5, -3, 12 in descending order. 12, -0.5, -3, -57 Put 10, 4, 76 in decreasing order. 76, 10, 4 Sort 1, -2, -8, -1, 26. -8, -2, -1, 1, 26 Put 0, -1.22, 2 in increasing order. -1.22, 0, 2 Sort -2/5, -19, -0.12 in decreasing order. -0.12, -2/5, -19 Put -0.1, 2, 5/2, -20 in decreasing order. 5/2, 2, -0.1, -20 Sort 2/11, 1/18, 2/13 in decreasing order. 2/11, 2/13, 1/18 Put 0.4, -10, -0.3, 15/11, 6/7 in descending order. 15/11, 6/7, 0.4, -0.3, -10 Put -2, -26, -5, 1 in increasing order. -26, -5, -2, 1 Put 0.3, -42, 2/5 in ascending order. -42, 0.3, 2/5 Sort 5, 0.11, 2.3. 0.11, 2.3, 5 Sort 2/5, -1, -2/2769 in increasing order. -1, -2/2769, 2/5 Put 1, -35, -1, 10, 4 in descending order. 10, 4, 1, -1, -35 Sort -5, -0.2, -1/41, 2, 3 in descending order. 3, 2, -1/41, -0.2, -5 Sort -2/7, 2/11, 1/9, 4 in ascending order. -2/7, 1/9, 2/11, 4 Put -1, 7, -4, 4 in increasing order. -4, -1, 4, 7 Sort 1/4, 3, -111, 0.5. -111, 1/4, 0.5, 3 Sort -1, 15, -66, 1 in ascending order. -66, -1, 1, 15 Put 0, 9, -2, -5 in descending order. 9, 0, -2, -5 Put -2/7, 5, -3/94 in decreasing order. 5, -3/94, -2/7 Put 0.3, 0.01, 4/5 in decreasing order. 4/5, 0.3, 0.01 Sort -1.3, -1/4, -2/9, 5/6 in increasing order. -1.3, -1/4, -2/9, 5/6 Sort -0.4, -0.5, -99/7. -99/7, -0.5, -0.4 Sort -3, 3, -4, 548 in decreasing order. 548, 3, -3, -4 Sort 2/5, 3, 17 in ascending order. 2/5, 3, 17
{ "pile_set_name": "DM Mathematics" }
1))**(-1/8)*y**(2/13)*y*y*y*y/y**(-3)) assuming y is positive. y**(-4559/312) Simplify (z**0)**(36/11)/(z/(z*(z*z**1)/z))**17*(z/((z/z**(1/5))/z)*z**(-3/4))**(2/25) assuming z is positive. z**(4259/250) Simplify (q**(-5)/q*q/(q*q**(2/31))*q*q**(-2/63)/q**(1/27))**(2/125) assuming q is positive. q**(-60152/732375) Simplify (((r**(-19)/r)/(r*r/((r*r**4)/r)))/(r/r**(7/4)*r*r**(-8/7)))**(1/5) assuming r is positive. r**(-479/140) Simplify ((((v*v/(v*v*v**(-5/12)*v)*v)/v)/v**(4/7))/(((v**(1/30)*v)/v)/(v**(-7/2)*v)))**(-11/7) assuming v is positive. v**(17039/2940) Simplify ((g**2/g)/(g**(-4/7)/g))/(g*g/(g*g/(g**(-2/3)*g)))**(1/59)*((g**8/g)/g)/(g/(g*g/(g**(-2)*g)))*(g/g**(-2/3))/g**8 assuming g is positive. g**(1748/413) Simplify (((c*c**(-8)*c)/c)/((c/c**(6/13))/c*c)*(c**(1/3))**(-40))**49 assuming c is positive. c**(-39886/39) Simplify ((w/(w*w**1*w))/w)**19*((w*w**(-2)*w)/w)**(11/2)*(w/(w/w**1)*w)**(5/8)/(w**(3/2)/w**4) assuming w is positive. w**(-235/4) Simplify ((t*t/(t**(2/5)/t*t)*t)**(-2/7))**37*(t/(t/t**(-1/3)))**7*t*t**(-4/3)*t**(-8) assuming t is positive. t**(-4006/105) Simplify (h*h*h*h**(-1)*h)**(-13)*h**(1/8)/(h/h**(-4/3))*(h**(-1/10)/(h/(h**(6/7)*h)))/(h**(5/4)/(h/h**6)) assuming h is positive. h**(-39229/840) Simplify (h/(h**(-5)/h)*h**(-1/4))**(6/13)*h**3/h**(-1/4)*(h**(-1/4))**(-1/51) assuming h is positive. h**(8447/1326) Simplify (((u*u*u/(u/((u**(1/7)*u)/u)))/(u**(-3)*u))/(u**(-2/7))**(-2/157))/(u**2*u/(u**(4/3)*u*u*u)*(u**(-1/2))**2) assuming u is positive. u**(21340/3297) Simplify ((r**(-25))**(2/5)/(r**(2/55)/r*r*r/(r/(r**(-19)/r))))**32 assuming r is positive. r**(17536/55) Simplify ((t**(2/13)*t)/((t*t/(t/(t/(t*t**(-1/9)*t))))/t))/(t**0)**(2/17)*(t*t**(2/11)*t)/t*t/t**(-3/7)*(t/t**0)**(-43) assuming t is positive. t**(-345467/9009) Simplify ((m**3)**(-33)*(m**5/m)**(-4/11))**(-3/13) assuming m is positive. m**(255/11) Simplify (((r*r*r/r**(-8/11)*r)/r*r*r**(-25))**(1/7))**(1/9) assuming r is positive. r**(-223/693) Simplify ((o/o**(-2/7))/(o*o**(5/2)*o))/(o**(-1/2)*o/((o/(o**(-2/9)*o))/o))*(o/(o**(1/2)/o))/(o**(1/9)/o*o)*((o**(-2)*o)/o)**36 assuming o is positive. o**(-9463/126) Simplify (v**3*v**6)**(-16)*(v**2/((v/(v/v**(-6)*v*v))/v))**(-21) assuming v is positive. v**(-375) Simplify (f/(f*f*f**(-34))*f**(-5)*f)/(f**15)**7 assuming f is positive. f**(-76) Simplify ((d**0/d)**(-2/71)/(d*d*d**(-2))**27)/((d**(-4/7))**31)**21 assuming d is positive. d**(26414/71) Simplify ((w/w**(-15))/w*w)**(1/30)/(w**(19/5)/w*w**42) assuming w is positive. w**(-664/15) Simplify ((b/(b**(-2/5)*b)*b/(b/(b*b*b**(3/8)*b))*b*b**0*b/((b*b**7)/b))**(-17/3))**31 assuming b is positive. b**(25823/120) Simplify (d**(-1)/(d*d**(1/6)))**(-46)/((d**1)**1)**(-48) assuming d is positive. d**(443/3) Simplify ((o*o**(1/4))**(-1/57)*o**(-4)*o*o*o*o/o**(-1/2)*o)/((o**(-2/7))**8*((o/(o/o**4)*o)/o*o)/o**1) assuming o is positive. o**(-377/1596) Simplify (m**(-19)/(m**(-22)/m)*m*m*m*m*(m*(m*(m*m*m**(-6))/m)/m*m)/m*(m*m**(-2/13))/m)**(-2) assuming m is positive. m**(-100/13) Simplify (q*(q*q**(2/5))/q)**(2/97)*(q**(1/4))**(-34)*(q**1)**(-28)/(q/q**(-2/11)*q*(q/q**(-3/4))/q) assuming q is positive. q**(-840859/21340) Simplify ((i**(-2/41)/i**(-2))/((i*i**6)/(i/(i/(i*(i/i**(1/13))/i*i)))))**41 assuming i is positive. i**(-1666/13) Simplify ((w**(-2/3)*w*w/((w/(((w*w**(-14)/w)/w)/w))/w))/(w*w/(w/(w**(-2)*w)))**(-8/7))**44 assuming w is positive. w**(-1936/3) Simplify ((u*u**(-34)*u)/u**36)/(u**29*u)**(-35) assuming u is positive. u**982 Simplify ((o/o**1)**26*(o*o**(-2/5))**(1/22))/(((o**0/o)/(((o*o**5)/o*o)/o))/((o**0*o)/o*o**(-4))) assuming o is positive. o**(223/110) Simplify ((g**(-1))**(7/2)/(g**0)**(-21))/((g**(-1/4)/g)**48)**(-1/34) assuming g is positive. g**(-179/34) Simplify (y/(y*(y*y*y*((y/(y/y**16))/y)/y)/y)*y**29*(y*y**2/y)/y**18)**(8/11) assuming y is positive. y**(-24/11) Simplify (z**(-1/4)*z**(-1/3))**(-1/15)*(z/((z/(z**(1/9)/z))/z)*z*z/(z*z/((z**0/z)/z)*z))/(z**(1/4)/(z*z*z*z**(1/2))) assuming z is positive. z**(2/5) Simplify (g**(-1)/g**(-2/9)*(g**(-2/13)*g)/(g/(g/g**(-9))*g))/((g/g**2)**(-1/22)*(g*((g*g**2)/g)/g)**(-1/26)) assuming g is positive. g**(20849/2574) Simplify (g**9*g*g/(g*g**(-5/6)))**(-26)/((g/(g*g**(-5/2)/g)*g**4)/((g/g**8)/g**(1/2))) assuming g is positive. g**(-890/3) Simplify ((g/(g/(g*(g*g/(g/(g**(-3)*g)))/g))*g**(-2/15))/((g*g**1*g)/g**(-1/4)))/((g/g**(-2/7))**30/(g**1*g)**(-23)) assuming g is positive. g**(-37361/420) Simplify (i**(2/5)/(i*i*i/i**(-1)*i)*i**(-6)/(i**(-2)*i))/((i*i**(1/3))**(-18))**49 assuming i is positive. i**(5832/5) Simplify ((o**(1/3))**(3/4)/(o*o**(-2/5))**(-35))/((o/o**(-2/5)*o*o**(1/3))/((o*o/((o*o/(o/o**(1/2)))/o*o))/o)**(-2/75)) assuming o is positive. o**(1853/100) Simplify (c**(1/4))**(14/5)/(c**5*c**(-5)*c*c*c)*((c**(2/7))**9)**(-17/4) assuming c is positive. c**(-463/35) Simplify b**(-4)*(b/b**(-2))/b*(b**(-1)*b)/(b*b**2*b)*(b*b**1)**(-4)*(b*(b**(-2/3)*b)/b)**21 assuming b is positive. b**(-7) Simplify (((z**(-1))**(10/11)/(z/z**(-1/4))**(-7/5))**(-44))**(3/17) assuming z is positive. z**(-111/17) Simplify (i**0/((i*i**(-2)*i)/i))**(8/17)/((i/((i/i**8)/i)*i*i*i*i**0)/(i**(-2/5)/(i**(2/9)*i))) assuming i is positive. i**(-10061/765) Simplify ((l*l/(l**5/l)*l*l*l)/(l*l**(2/15))*(l*l**1)**(-30))/((l**(-1/2)*l)/l**(-1/2))**(21/5) assuming l is positive. l**(-193/3) Simplify (k**(-2/9)/k*k)**(-13/6)*(k/k**(1/3))**(-1/13)*((k**0*k)**(-28))**22 assuming k is positive. k**(-216065/351) Simplify (n**(2/15)/n**(-1/7))**26*((n*n/n**(2/5))/(n**(5/6)*n*n))**19 assuming n is positive. n**(-3413/210) Simplify ((h**(-2/7)*h)/(h**(-7)/h)*(h**(-1/2)/h)**26)/((h*h*h**(-2)*h*h/(h*h/(h*h**(-1/6))*h*h))/(h**8/((((h*h**0*h)/h*h)/h)/h))) assuming h is positive. h**(-887/42) Simplify ((k*k**(-1/3))**(1/3))**(-35)/((k**(-2)/(k/(k/k**4)*k))/(k**(1/2)/(k*k/k**(6/7)))) assuming k is positive. k**(-179/126) Simplify (p**(-5)/p**(-3))/(p**3*p**4)*(p*p**1*p*p)**15*(p*p**(-2/21))/((p**4/p)/p) assuming p is positive. p**(1048/21) Simplify ((g**1)**(7/5))**20*(g/((g/g**(-2/15))/g)*g/g**(-4))**18 assuming g is positive. g**(668/5) Simplify (k**(-1/2)*k**(-2/9)*k*k*(k*(k**(-2)*k)/k*k)**(-29))**38 assuming k is positive. k**(437/9) Simplify h**(-24)/(h*h**(-11))*h**(-2/45)/h*h*h/(h**(-42)*h)*h assuming h is positive. h**(1303/45) Simplify (k*k/(k/(k**33/k))*(k**43*k)/k*k)/(k**23*k*(k/(k/k**19*k*k))/k*k) assuming k is positive. k**36 Simplify ((l**(-4/3)/l)/(l/(l/(l**(-2)*l)))*(((l*(l*((l**(2/5)/l)/l)/l)/l*l)/l*l)/l)/l**13)**(7/4) assuming l is positive. l**(-1673/60) Simplify ((p**(-2/55)/p)**(-31)*p**(-1/35)/p**(-46))**(-22) assuming p is positive. p**(-60136/35) Simplify (((y**3*y)/y)/y**(-6/11)*(y/y**(2/11))/y**0)/((((y**(1/3)*y)/y)/(y**(-3)/y))/(y**3/y*y**(-6/7)*y)) assuming y is positive. y**(502/231) Simplify ((i**(2/3))**37/((i/(i/i**(2/21)))/i*i**(-2/91)))**(-5/2) assuming i is positive. i**(-11645/182) Simplify (n**(-1/5)*n*n**6)/((n/(n/(n**2*n))*n)/n**(-1/6))*(n*(n*n**(-1))/n*n)**(-3/5)/((n**(-1)/n)/n*n)**(-6/5) assuming n is positive. n**(-11/30) Simplify (b**3*b/b**(-17)*b*b**(-16)/b*b*b**(-2/59))**31 assuming b is positive. b**(10912/59) Simplify (((p*(p/p**(-1/4))/p)/p)/p*p**4)**(8/11)/((p**(-1/4))**50/(p/(p*(p**(-2)*p)/p))**23) assuming p is positive. p**(1339/22) Simplify ((p*p/p**(-3/4))/(p/p**24*p)*(p**(-7/5))**(-38/3))**8 assuming p is positive. p**(5098/15) Simplify (((t*t*t**(-2/11))/t)/t**1)**29*(t**(-2/7))**(-6/11)/(t**(2/3)/t)**(11/7) assuming t is positive. t**(-1061/231) Simplify ((g/g**(-1))/g)**0/(g**(-3/5)/g*g/(g**(-7)/g)*g)*(g**(-2/5)/g)/g**(-3)*(g**(-1))**(-4/21) assuming g is positive. g**(-694/105) Simplify ((v/(v**(17/5)/v)*v**(-8/5))/((v**(-1/22)/v)/(((v/((v*v**(3/22))/v*v))/v)/v)))**(-50) assuming v is positive. v**(2250/11) Simplify (w/(w*w/((w/w**(-1))/w))*w/((w*w*w*w**(-1/2)*w)/w))**(2/29)/(w**(-3/10)*w/w**2*(w*(w*w**0)/w)**(1/19)) assuming w is positive. w**(6303/5510) Simplify ((x/(x**11/x*x*x))/x**(1/12))**(6/29)*(x*x**(-2/3))/(x*(x*(x/(x**3/x))/x*x)/x)*(x/x**(2/3))**41 assuming x is positive. x**(679/58) Simplify ((d**(-1))**(-2/15)/(d/d**(-2/5))**(-1/29))/((d*d*d**(1/5))**9)**42 assuming d is positive. d**(-361667/435) Simplify (f**(-1/6)/f*f/(f**(5/2)*f*f*f))/(f**2)**(-1/30)*(f**(-
{ "pile_set_name": "DM Mathematics" }
f and 1 u? 1/120 Two letters picked without replacement from {f: 18, m: 1}. What is prob of picking 2 f? 17/19 Three letters picked without replacement from donddnoonuono. What is prob of picking 2 d and 1 o? 15/286 Calculate prob of picking 2 j, 1 m, and 1 y when four letters picked without replacement from yjnnynnjuym. 1/110 Four letters picked without replacement from {c: 6, i: 4}. Give prob of picking 4 c. 1/14 What is prob of picking 1 k and 1 a when two letters picked without replacement from {l: 1, j: 6, k: 3, a: 4, q: 2}? 1/10 Two letters picked without replacement from {r: 3, w: 4, x: 3, v: 4}. What is prob of picking 2 v? 6/91 Calculate prob of picking 3 z when three letters picked without replacement from ozzzuozzuoooozouuuz. 35/969 What is prob of picking 2 b when two letters picked without replacement from bpbpbbb? 10/21 Three letters picked without replacement from jttttjttttj. Give prob of picking 3 j. 1/165 Three letters picked without replacement from {x: 6}. What is prob of picking 3 x? 1 Two letters picked without replacement from mqo. What is prob of picking 1 o and 1 m? 1/3 Calculate prob of picking 1 p and 1 j when two letters picked without replacement from {j: 1, p: 11}. 1/6 Four letters picked without replacement from {b: 2, c: 2, t: 1, e: 1}. Give prob of picking 1 t, 1 e, and 2 b. 1/15 Three letters picked without replacement from oijosoojosjso. What is prob of picking 2 s and 1 j? 9/286 What is prob of picking 2 i and 1 q when three letters picked without replacement from {s: 3, i: 5, q: 3}? 2/11 Four letters picked without replacement from xnnxqxnqhqq. What is prob of picking 2 q, 1 h, and 1 x? 3/55 Three letters picked without replacement from ewqeryr. Give prob of picking 2 r and 1 y. 1/35 Calculate prob of picking 1 u, 1 g, and 1 e when three letters picked without replacement from geuewew. 3/35 Four letters picked without replacement from jjjjjxxjjjxxjjxj. Give prob of picking 1 x and 3 j. 165/364 Two letters picked without replacement from {d: 1, g: 1, x: 1, f: 1, j: 1, k: 2}. What is prob of picking 1 k and 1 j? 2/21 What is prob of picking 1 b and 1 f when two letters picked without replacement from eafefeeaeaabaqeefb? 2/51 Two letters picked without replacement from {z: 4, r: 4, x: 1, u: 1, n: 1}. What is prob of picking 2 r? 6/55 Calculate prob of picking 1 e, 1 o, and 1 l when three letters picked without replacement from lolleee. 9/35 Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {k: 2, v: 2, n: 2, u: 4}. 8/45 Four letters picked without replacement from {s: 2, r: 11}. What is prob of picking 4 r? 6/13 What is prob of picking 1 a and 2 x when three letters picked without replacement from {x: 2, c: 11, a: 1}? 1/364 Two letters picked without replacement from udumucumduuuucududdu. Give prob of picking 1 m and 1 d. 1/19 Three letters picked without replacement from jjjjjjjjjj. Give prob of picking 3 j. 1 Calculate prob of picking 2 k, 1 m, and 1 b when four letters picked without replacement from kmkkdbdkbmb. 6/55 Three letters picked without replacement from {u: 7, v: 5}. What is prob of picking 3 u? 7/44 Three letters picked without replacement from fddffddd. Give prob of picking 3 d. 5/28 What is prob of picking 2 k when two letters picked without replacement from iiikiiiiiikiiiiiii? 1/153 What is prob of picking 1 e and 1 j when two letters picked without replacement from {j: 4, t: 1, g: 1, e: 4, v: 3}? 8/39 Three letters picked without replacement from {j: 4, l: 3, o: 6}. Give prob of picking 2 l and 1 j. 6/143 Calculate prob of picking 1 k and 2 j when three letters picked without replacement from jkkkkkkkkkkkkkkkkkj. 1/57 Calculate prob of picking 3 w when three letters picked without replacement from {w: 10}. 1 Two letters picked without replacement from gcc. What is prob of picking 2 c? 1/3 Three letters picked without replacement from {q: 3, s: 3}. What is prob of picking 3 q? 1/20 Two letters picked without replacement from zzbdb. What is prob of picking 2 b? 1/10 Two letters picked without replacement from {s: 5, u: 4, j: 6}. What is prob of picking 2 s? 2/21 What is prob of picking 1 p and 2 v when three letters picked without replacement from {p: 6, v: 4}? 3/10 Two letters picked without replacement from {i: 1, e: 2, g: 1}. Give prob of picking 2 e. 1/6 Four letters picked without replacement from {e: 9, u: 2}. What is prob of picking 2 u and 2 e? 6/55 Calculate prob of picking 2 n and 1 a when three letters picked without replacement from {i: 6, s: 4, n: 6, a: 2}. 5/136 Three letters picked without replacement from yyyfykyffyyyfyffk. Give prob of picking 3 k. 0 Three letters picked without replacement from vmm. What is prob of picking 3 v? 0 Two letters picked without replacement from beqeyyebhhhzeybbeh. What is prob of picking 1 z and 1 q? 1/153 Four letters picked without replacement from jqnnjlzljvvz. Give prob of picking 2 j, 1 l, and 1 v. 4/165 Two letters picked without replacement from yfght. Give prob of picking 1 g and 1 f. 1/10 What is prob of picking 1 l and 3 g when four letters picked without replacement from gglgggllllggl? 42/143 Four letters picked without replacement from cuiciiiuic. What is prob of picking 2 c and 2 u? 1/70 Four letters picked without replacement from {d: 5, f: 9}. What is prob of picking 1 d and 3 f? 60/143 What is prob of picking 1 y, 1 v, and 1 i when three letters picked without replacement from {y: 11, v: 3, a: 1, z: 2, i: 2}? 22/323 Calculate prob of picking 1 b and 2 e when three letters picked without replacement from bbbeoboobeoo. 1/44 Two letters picked without replacement from {s: 5, d: 1, q: 3, f: 3, o: 1, h: 2}. What is prob of picking 1 d and 1 o? 1/105 Three letters picked without replacement from {w: 9, n: 7}. What is prob of picking 1 n and 2 w? 9/20 Three letters picked without replacement from hhhhzhhzhh. What is prob of picking 3 h? 7/15 Three letters picked without replacement from qwwqqwwqqwwqqw. What is prob of picking 1 w and 2 q? 21/52 What is prob of picking 2 s, 1 x, and 1 b when four letters picked without replacement from bisxsbbbisx? 4/55 What is prob of picking 1 t and 1 s when two letters picked without replacement from {i: 2, s: 1, t: 3, j: 4, l: 2}? 1/22 Four letters picked without replacement from {f: 1, x: 1, b: 7}. Give prob of picking 3 b and 1 f. 5/18 What is prob of picking 2 a when two letters picked without replacement from yyaayaaaaaaaaaa? 22/35 Three letters picked without replacement from {c: 6, e: 5, a: 3, q: 1}. Give prob of picking 1 e and 2 a. 3/91 Two letters picked without replacement from {y: 1, g: 4, v: 5}. Give prob of picking 1 y and 1 g. 4/45 Calculate prob of picking 3 s and 1 f when four letters picked without replacement from sfsdfsdss. 10/63 Three letters picked without replacement from xhvhhvrvehhh. Give prob of picking 3 h. 1/11 Three letters picked without replacement from eeeeeaeeaelelaae. Give prob of picking 3 e. 3/14 Calculate prob of picking 2 g when two letters picked without replacement from zzyzyygyzzggzz. 3/91 Four letters picked without replacement from {j: 6, m: 4, k: 1, n: 3}. Give prob of picking 2 n and 2 j. 45/1001 Two letters picked without replacement from dudnnndendmddundn. Give prob of picking 1 e and 1 m. 1/136 Three letters picked without replacement from ddddddddddwddddvdddd. What is prob of picking 1 w and 2 d? 51/380 Three letters picked without replacement from {i: 3, b: 5, d: 1, s: 1}. Give prob of picking 1 i, 1 s, and 1 d. 1/40 Four letters picked without replacement from aaayayyydyy. What is prob of picking 3 a and 1 d? 2/165 What is prob of picking 1 i, 1 o, and 1 d when three letters picked without replacement from oodoiodddiiodi? 25/91 Calculate prob of picking 2 o, 1 u, and 1 i when four letters picked without replacement from {a: 2, v: 3, u: 1, o: 4, i: 7}. 3/170 What is prob of picking 4 c when four letters picked without replacement from {s: 8, c: 5, k: 2}? 1/273 Three letters picked without replacement from mmmddmdmmmm. What is prob of picking 1 d and 2 m? 28/55 Three letters picked without replacement from bbym. Give prob of picking 2 b and 1 y. 1/4 Three letters picked without replacement from {a: 1, l: 4, w: 4,
{ "pile_set_name": "DM Mathematics" }
(a) be the third derivative of -a**7/105 + 5*a**6/6 - a**4/12 - 53*a**3/3 - 24*a**2. Find the second derivative of g(x) wrt x. -24*x**2 + 600*x Differentiate -38 + 16*r - 4*r + 11*r + 60 + 92 with respect to r. 23 Let h(n) be the first derivative of -21*n**2/2 + 87*n - 370. Differentiate h(j) wrt j. -21 Let s(k) = 38*k + 70. Let n(g) = 13*g + 0*g + 47 + 12*g. Let d(f) = -7*n(f) + 5*s(f). Differentiate d(j) with respect to j. 15 Let g(q) be the third derivative of -1/8*q**4 + 0*q - 1/3*q**3 - 1/40*q**5 + 0 - 2*q**2. Let t(c) be the first derivative of g(c). Differentiate t(a) wrt a. -3 Let j(y) be the first derivative of -28*y**4 - y**3/3 + 288*y - 483. Differentiate j(k) with respect to k. -336*k**2 - 2*k Let p(v) be the second derivative of 19*v**3 - 23*v**2 + 5*v - 8. Find the first derivative of p(s) wrt s. 114 Let m(w) be the third derivative of -677*w**7/210 + 19*w**5/30 - 2*w**3/3 - 175*w**2. Find the third derivative of m(f) wrt f. -16248*f Let m(x) be the second derivative of -263*x**5/20 - 25*x**3/2 - x**2/2 - 377*x. Find the second derivative of m(i) wrt i. -1578*i Find the third derivative of -d**2 - 100*d**3 - 204 + 101*d**3 + 283*d**4 + 755 wrt d. 6792*d + 6 Let k be -18*(-3)/9*5. What is the third derivative of 6*j**3 + 10*j**3 + 30*j - k*j - 4*j**2 wrt j? 96 Let b(l) = -l - 1. Let r(p) = 5*p + 6. Let h(o) = -14*b(o) - 2*r(o). Let k be h(5). What is the second derivative of k*v**3 - 22*v**3 + 4*v**4 - v wrt v? 48*v**2 What is the third derivative of 133*m**3 - 653*m + 653*m + 523*m**2 wrt m? 798 What is the third derivative of 8 - 65*j**5 + 19 - 158*j**2 + 159*j**2 wrt j? -3900*j**2 Let u(m) be the first derivative of -22*m**2 - 28*m - 20. Find the first derivative of u(g) wrt g. -44 Suppose 5*c = s + 1, -5*s = 2*c - 3*s - 10. Let t be (30/(-3))/((-2)/c). What is the derivative of -4 + 5 + t - 5*j wrt j? -5 Find the second derivative of 39 - 2*a - 42*a**2 - 26 - 9*a**3 + 41*a**2 + 9*a**3 - 115*a**4 wrt a. -1380*a**2 - 2 Let i(c) be the first derivative of 41*c**6/6 - 26*c**3/3 + 2*c + 65. What is the third derivative of i(a) wrt a? 2460*a**2 Let o(v) = -2282*v**2 + 79*v - 236. Let k(j) = 1521*j**2 - 56*j + 157. Let t(y) = 7*k(y) + 5*o(y). What is the second derivative of t(z) wrt z? -1526 What is the second derivative of -47*x - 24*x + 30*x - 24*x + 18*x**3 wrt x? 108*x Find the third derivative of -209 + 209 - 13*r**6 - 2*r**3 - 55*r**6 - 348*r**2 wrt r. -8160*r**3 - 12 Let w(l) = -l**2 + 6*l + 8. Let p be w(6). Let r = -1 + p. Find the third derivative of 2*a**3 + r*a**2 - a**3 + 6*a**3 wrt a. 42 Let i(x) = x**4 - 4*x**3 - 103*x - 2. Let s(z) = -3*z**4 + 13*z**3 + 311*z + 7. Let n(g) = 7*i(g) + 2*s(g). Find the second derivative of n(d) wrt d. 12*d**2 - 12*d Let n(g) be the first derivative of -3*g**7/7 - 3*g**4/4 - 2*g**3/3 + 23*g**2/2 + 118. What is the third derivative of n(m) wrt m? -360*m**3 - 18 Let x = 2 + 2. Let y = 3 + x. What is the second derivative of 4*k - y*k + 13*k**2 - 5*k**2 - 5*k wrt k? 16 Suppose -35 + 31 = -2*k. Differentiate -3 - k + 4 - 10 + 14*l wrt l. 14 Let o(a) = 1104*a + 963. Let m(k) = -368*k - 321. Let h(j) = 17*m(j) + 6*o(j). Differentiate h(l) with respect to l. 368 Let h = -1213/2 + 607. Let a(j) be the second derivative of h*j**4 - 1/6*j**3 + 0 + 0*j**2 + 3*j. What is the second derivative of a(v) wrt v? 12 Suppose 4*z - 4 = 0, 0 = -2*a - 3*z - z + 8. Differentiate 79*v**a + 17 - 79*v**2 + 2*v**4 wrt v. 8*v**3 Suppose -22 - 83 = -21*b. Let l(g) be the first derivative of 7*g + 2/5*g**5 + b + 0*g**4 + 0*g**2 + 0*g**3. Differentiate l(r) wrt r. 8*r**3 Suppose 5*i + 9 = -2*g + 37, 4*i - 26 = 2*g. Let f = -3 + i. What is the second derivative of r + 76*r**3 - 76*r**f - 3*r**4 wrt r? -36*r**2 Let r(m) be the third derivative of 0*m - 1/20*m**5 - 8*m**2 + 0*m**4 - 1/10*m**6 + 0 + 0*m**3. What is the third derivative of r(w) wrt w? -72 Let y = -250 + 252. Let q(s) be the first derivative of 0*s**y - 5 + 1/3*s**3 + 0*s + 3/4*s**4. What is the third derivative of q(v) wrt v? 18 Let u be (-104)/(-6) - (-4)/6. Suppose -3*l - u = -4*p - 0*l, -14 = -4*p + l. Differentiate 3*b + 3 + p*b**3 - 2*b - b with respect to b. 9*b**2 Let j(v) = -394*v**4 - 4*v**3 - 7*v**2 + 7*v - 1. Let r(p) = -130*p**4 - p**3 - 2*p**2 + 2*p. Let o(c) = 2*j(c) - 7*r(c). What is the derivative of o(i) wrt i? 488*i**3 - 3*i**2 Let a(z) be the second derivative of z**7/42 + 121*z**4/12 - 53*z**3/2 + 9*z - 4. Find the second derivative of a(h) wrt h. 20*h**3 + 242 Let j(z) = z**2 + z. Let q(k) be the first derivative of -7*k**5/5 + 16*k**3/3 + 2*k**2 + 37. Let o(x) = 4*j(x) - q(x). Find the third derivative of o(l) wrt l. 168*l Let r(g) be the second derivative of 0*g**2 - 19/12*g**4 - 13/20*g**5 + 0*g**3 + 0 + 16*g. What is the third derivative of r(u) wrt u? -78 Let n(g) = -191*g**4 - g**3 + g**2 - g + 244. Let k(o) = -o**3 + o**2 - o - 1. Let v(f) = -k(f) + n(f). Differentiate v(d) with respect to d. -764*d**3 Let l(o) = -7*o**3 + 2*o**2 - 2*o - 88. Let h(x) = 2*x**2 + x. Let f(w) = -h(w) + l(w). What is the derivative of f(n) wrt n? -21*n**2 - 3 What is the derivative of -52 - 76*n + 144 - 47 wrt n? -76 Let s(a) be the second derivative of -28*a**6/5 + 70*a**2 - 244*a. What is the derivative of s(w) wrt w? -672*w**3 Let c = 475 + -471. Let i(g) be the third derivative of 5/24*g**c - 10*g**2 + 0 + 3/2*g**3 + 0*g. What is the first derivative of i(o) wrt o? 5 What is the second derivative of -53*i + 47*i**2 + 31*i - 18*i**2 - 69*i wrt i? 58 Let r(j) be the third derivative of j**5/5 + 17*j**4/12 + j**2 + 29*j. What is the second derivative of r(u) wrt u? 24 Let s(h) = h + 2. Let f(r) = 25*r**2 + 23*r - 22. Let z(y) = -2*f(y) - 22*s(y). Find the second derivative of z(w) wrt w. -100 Let d(l) be the first derivative of 0*l**2 + 1 + 0*l**4 + 2/5*l**5 + 0*l**3 + 6*l. Find the first derivative of d(k) wrt k. 8*k**3 Suppose -15 = -3*i - 0*o + 3*o, -4*i + 17 = -3*o. Suppose i*y - 4*y = -6. What is the second derivative of 2*h + y*h**5 - 6*h**5 - 5*h**5 wrt h? -160*h**3 Let x(r) = 2*r. Let m(k) = -55*k**2 - 12*k + 124. Let n(v) = -m(v) - 6*x(v). Differentiate n(l) with respect to l. 110*l Find the third derivative of -150*k**4 + 80*k**4 - 15*k**2 - 14*k**2 wrt k. -1680*k Let f be 1/4 + 55/20. Find the first derivative of 3 - 24*m**3 + 0 + 32*m**f wrt m. 24*m**2 Let l(q) be the first derivative of 0*q**5 + 0*q**3 + 29/2*q**2 + 0*q**4 + 14/3*q**6 + 0*q + 26. What is the second derivative of l(h) wrt h? 560*h**3 Suppose 14*k - 19*k + 140 = 0. Let r be 61/7 + 8/k. Find the third derivative of -3*q**4 - 2*q**2 - 9 + 8*q**4 + r wrt q. 120*q Let r = 1 + -1. Let j = -220 - -222. Find the first derivative of 0*t + 4 + r - 3*t - j wrt t. -3 Let l(o) be the first derivative of -o**3 + 33*o + 6*o**3 + 3*o**3 - 13*o - 18. Differentiate l(c) wrt c. 48*c Let i(j) = 111*j**2 + 44*j + 771. Let v(b) = 22*b**2 + 8*b + 154. Let w(p) = -2*i(p) + 11*v(p). What is the derivative of w(d) wrt d? 40*d Let f(m) be the first derivative of -34*m**3/3 - 5*m - 278. What is the derivative of f(p) wrt p? -68*p Let m(r) be the second derivative of -109*r**5/4 + 565*r**4/12 - 283*r + 2. What is the third derivative of m(v) wrt v? -3270 Let z(d) be the third derivative of -17*d**7/10 - d**4/12 + 109*d**3/3 + 19*d**2 - 7*d. What is the second derivative of z(p) wrt p? -4284*p**2 Let q(s) be the second derivative of -32*s + 0*s**5 + 31/2*s**2 + 0*s**3 + 14/15*s**6 + 0*s**4 + 0. What is the first derivative of q(y) wrt y? 112*y**3 Let j = -2 + 6. What is the second derivative of -j*l - 628*l**2 + 592*l**2 - l - 3*l wrt l? -72 Let t(g) = 13 - 22 + 0*g**2 + 6*g + g**2. Let c be t(-8). Find the second derivative of -6*i + 0*i**5 - 3*i**5 + 0*i - c*i**5 wrt i. -200*i**3 Let m = 736/3 + -244. Let o(c) be the first derivative of m*c**3 + 0*c - 1/4*c**4 + 0*c**2 + 1. What is the third derivative of o(p) wrt p? -6 Let n(x) be the first derivative of -193*x**4/2 + 87*x**3 - 677. What is the third derivative of n(m) wrt m? -2316 Let x be (1/3)/((-2)/(-30)). Let h be (-54)/(-10) - (-3)/x. Find the third derivative of -4*a**2 - 2*a**2 + 3*a**2 + 12*a**h - 5*a**6 wrt a. 840*a**3 Let g(a) = 6*a**2 - 23*a + 4. Let s be g(5). What is the derivative of -s + 24*d - 3 + 13 wrt d? 24 Let w be (27/
{ "pile_set_name": "DM Mathematics" }
in -20050188721132*x + 3*x**2 + 20050188721132*x. 3*x**2 Collect the terms in 347 + 2*v - 4*v - 609 + 262. -2*v Collect the terms in -16 - 6556*g**2 + 2376*g**2 + 16. -4180*g**2 Collect the terms in -5270*u - 4554*u - 2082*u + 1793*u + 624*u. -9489*u Collect the terms in -2*u + 2*u + 931427*u**3 - 1862837*u**3 + 931421*u**3. 11*u**3 Collect the terms in -68 + 3343*y - 34466*y - 48115*y. -79238*y - 68 Collect the terms in 3101 - 784 - 749 - 827 - 741 + 2*d. 2*d Collect the terms in 2321*a - 25*a**2 + 6456*a - 8779*a. -25*a**2 - 2*a Collect the terms in -4384*r - 9*r**3 + 13116*r - 4366*r - 4366*r + 5*r**3. -4*r**3 Collect the terms in -269*c**2 + 2010*c - 1005*c - 1003*c. -269*c**2 + 2*c Collect the terms in 248*q + 5 - 28*q - 24*q - 199*q - 107. -3*q - 102 Collect the terms in -28*i**2 + 64*i**2 - 10 - 31*i**2 + 22*i**2 - 25*i**2. 2*i**2 - 10 Collect the terms in -1677553 + 1677553 - 225*w. -225*w Collect the terms in 64 - 22 - 14 + 15*w + 9 - 15 + w. 16*w + 22 Collect the terms in -3710418*l**3 + 7420833*l**3 - 3710435*l**3. -20*l**3 Collect the terms in -90 - 6*h**2 + 6*h**2 + 90 + 1046*h**3. 1046*h**3 Collect the terms in -891*l**2 + 335*l**2 + 298*l**2 + 310*l**2. 52*l**2 Collect the terms in -126*i + 29*i + 97*i + 14136*i**2. 14136*i**2 Collect the terms in 896*c - 184*c - 195*c + 390*c + 828*c. 1735*c Collect the terms in -54 + 54 - 9302182*f. -9302182*f Collect the terms in -33*z + 25*z + 22953 + z**3 - 22900. z**3 - 8*z + 53 Collect the terms in -581588*x**3 + 581591*x**3 + 235 - 223. 3*x**3 + 12 Collect the terms in 1 - 256*h**2 + 90*h**2 + 86*h**2 + 89*h**2 + 4. 9*h**2 + 5 Collect the terms in -6179*o - 6171*o + 30876*o - 6179*o - 6174*o - 6179*o. -6*o Collect the terms in 21*k + 26*k + 25*k - 23*k - 4*k - 9. 45*k - 9 Collect the terms in -1710*g - 5846*g**3 + 562*g**3 + 1710*g. -5284*g**3 Collect the terms in -565*b**3 - 23*b - 22*b - 1492*b**3 + 45*b. -2057*b**3 Collect the terms in 23*k**3 - 5 - 8*k - 8*k + 16*k - 2*k**2. 23*k**3 - 2*k**2 - 5 Collect the terms in 299*o + 607*o**3 - 1163*o**3 - 299*o. -556*o**3 Collect the terms in -11*m**2 + 37*m**2 + 25*m**2 + 975*m - 50*m**2. m**2 + 975*m Collect the terms in 11027*a**3 - 5513*a**3 - 5510*a**3 + 253*a. 4*a**3 + 253*a Collect the terms in 4*f**3 + 2401*f**2 - 8*f**3 + 285*f**2. -4*f**3 + 2686*f**2 Collect the terms in 57*u - 86*u - 1382 - 1395 - 33*u + 2775. -62*u - 2 Collect the terms in -20 + 44 - 8510*k - 24 - 62003*k. -70513*k Collect the terms in 72*b - 4 - 241*b + 5 + 87*b + 68*b - 2. -14*b - 1 Collect the terms in 51*g**3 - 4*g + g**3 + 27*g**3 - 25*g**3 + 43*g**3 - 1. 97*g**3 - 4*g - 1 Collect the terms in -102926*p + 51601*p + 51325*p - 7*p**2 + 2*p**2. -5*p**2 Collect the terms in -7*v**3 + 20936732573*v - 20936732573*v. -7*v**3 Collect the terms in -23*h**2 - 17*h**2 + 0*h**2 + 21*h**2 - 11*h**2 - 20*h**2. -50*h**2 Collect the terms in -837988 - 2*r - 837924 + 2513831 - 837919. -2*r Collect the terms in -85973*a - 85990*a + 171939*a. -24*a Collect the terms in -29 + 8 + 5*y + 4 - 30*y + 2 + 11. -25*y - 4 Collect the terms in -409*g - 546 - 1190 - 17*g**3 + 1736 + 409*g. -17*g**3 Collect the terms in 3827245 - 2*z - 3827245. -2*z Collect the terms in 11645 - m**2 - 11645 + 2*m**2 - 2*m**2 + 0*m**2. -m**2 Collect the terms in -80056*m - 80155*m + 160123*m + 3 - 1 - 3. -88*m - 1 Collect the terms in 1 + 14*a - 393169*a**2 + 393172*a**2 + 2. 3*a**2 + 14*a + 3 Collect the terms in -94*h**3 + 22*h**3 + 43*h**3 - 53*h + 32*h**3. 3*h**3 - 53*h Collect the terms in -6*i**2 - 9*i**2 - 3*i**2 + 69 - 10*i**2 + 29*i**2 - 6*i**2. -5*i**2 + 69 Collect the terms in -29493*r**3 - 56930*r**3 + 13472*r**3. -72951*r**3 Collect the terms in 1 - 295*s - 291*s - 287*s + 1152*s - 306*s. -27*s + 1 Collect the terms in 62400 - 62400 - 165557*n**3. -165557*n**3 Collect the terms in -16*r**2 - 69*r**3 + 16*r**2 + 7641*r - 7641*r. -69*r**3 Collect the terms in 10698*t**3 - 5292*t**3 - 5351*t**3. 55*t**3 Collect the terms in -2386*g**2 + 9510*g**2 + 2*g - 2380*g**2 - 2355*g**2 - 2358*g**2. 31*g**2 + 2*g Collect the terms in -77*r**3 - 74*r**3 + 181*r**3 + 0 + 0. 30*r**3 Collect the terms in -336*w**2 + 1056053248*w**3 - 1056053246*w**3 + 336*w**2. 2*w**3 Collect the terms in -18*j**3 - 11*j**3 + 229981*j**2 - 35*j**3. -64*j**3 + 229981*j**2 Collect the terms in -26 + 26 - f**2 + 186*f + 197*f - 574*f + 199*f - f**2. -2*f**2 + 8*f Collect the terms in -90*z**3 - 1947141 + 1947141. -90*z**3 Collect the terms in -251727 - 134*p**2 + 251727 + 268*p**2 - 137*p**2. -3*p**2 Collect the terms in 510*w**2 - 5726*w**2 - 17968*w**2. -23184*w**2 Collect the terms in 56479182 + 56479187 - 112958369 + a**2. a**2 Collect the terms in -5620*j - 988 + 988 + 297127*j. 291507*j Collect the terms in 13*i - 36*i - 165671*i**2 + 12*i + 11*i. -165671*i**2 Collect the terms in -5*h + h**2 - 5*h**2 + 0*h**2 + 10*h**3 + 4*h**2. 10*h**3 - 5*h Collect the terms in j**2 - 4*j**2 - 7*j**2 + 4*j**2 + 36*j**2 - 17*j**2 - 10*j**2. 3*j**2 Collect the terms in -44073*h**3 + 1250 - 632 - 618. -44073*h**3 Collect the terms in -3*u**2 + 3*u**2 - 54468*u**3 - 81953*u**3. -136421*u**3 Collect the terms in -567*t**3 + 6*t - 43 + 59*t**3 - 5*t**2 + 7*t**2 + 3*t**2. -508*t**3 + 5*t**2 + 6*t - 43 Collect the terms in 382 + 115980*m - 116004*m - 115 - 267. -24*m Collect the terms in -16239*d**3 + 8282*d**3 + 7960*d**3. 3*d**3 Collect the terms in 197458*g + 0 + 1 - 219963*g. -22505*g + 1 Collect the terms in -2123*i - 2153*i + 36*i**2 - 3033*i + 7309*i. 36*i**2 Collect the terms in 922 - 369*f + 375*f - 876. 6*f + 46 Collect the terms in 16357*q - 9725*q - 56831*q. -50199*q Collect the terms in -f - 1946*f**2 + f - 1920*f**2 + 3837*f**2. -29*f**2 Collect the terms in 2*c**2 + 19676*c**3 - 693961*c**3 - 2*c**2. -674285*c**3 Collect the terms in -47*w - 12*w**2 - 46*w + 230*w - 40*w - 43*w - 46*w. -12*w**2 + 8*w Collect the terms in 3 + 97*p**2 + 17*p**3 - 30*p**3 + 16*p**3 - 4*p. 3*p**3 + 97*p**2 - 4*p + 3 Collect the terms in 1465*n**3 - 919*n**3 - 188*n**3 - 355*n**3. 3*n**3 Collect the terms in -6*n + 14*n - 574*n**2 - 8*n + 357*n**2 + 224*n**2. 7*n**2 Collect the terms in 207*q + 1 + 196*q - 2 - 10 - 401*q - 2. 2*q - 13 Collect the terms in 65 + 7024*j - 49 - 7025*j - 9. -j + 7 Collect the terms in 8545*m + 8173*m + 3*m**2 - 25251*m + 8533*m - 5*m**2. -2*m**2 Collect the terms in -23 + 6 + 147*y - 274*y + 148*y + 17 - 21*y**2. -21*y**2 + 21*y Collect the terms in 7*s**3 + 13936*s - 27886*s + 13950*s. 7*s**3 Collect the terms in 403 + 51*a**3 + 1430 - 1833. 51*a**3 Collect the terms in 51461*v**2 - 327*v + 131*v + 196*v. 51461*v**2 Collect the terms in -123045*d**3 + 245987*d**3 - 123027*d**3. -85*d**3 Collect the terms in -2312 + 18440 + 4*p + 3619. 4*p + 19747 Collect the terms in -22111*y - 29004*y - 2725*y + 225*y. -53615*y Collect the terms in -244*i + 498*i - 252*i - 44 + 118. 2*i + 74 Collect the terms in -64008*l**3 - 91296*l**3 + 43733*l**3. -111571*l**3 Collect the terms in 6466*y - 3229*y + 46 - 3238*y + 188. -y + 234 Collect the terms in 1140588*h**3 + 970408*h**3 + 1707374*h**3 - 270869*h**3. 3547501*h**3 Collect the terms in -12535*p**2 + 11479*p**2 + 39895*p**2. 38839*p**2 Collect the terms in -460*k - 187298 - 250*k + 187298. -710*k Collect the terms in 37 + 42 - 1313*j - 80. -1313*j - 1 Collect the terms in 3*g**3 - 30*g**2 + 64387*g - 1 + 61351*g + 30*g**2. 3*g**3 + 125738*g - 1 Collect the terms in -5*m**2 + 6252*m - 3179*m + 6*m**2 + 5*m**2 - m**2. 5*m**2 + 3073*m Collect the terms in -3*v**3 + 18840 + 25037 - 43879. -3*v**3 - 2 Collect the terms in -7297*d**3 - 3*d**2 + 3*d**2 + 6534*d**3. -763*d**3 Collect the terms in 38*r**2 + 4089330*r + 2 - 7 - 4089327*r. 38*r**2 + 3*r - 5 Collect the terms in -1135152972*h - 1135152977*h + 2270305947*h. -2*h Collect the terms in -6518*j + 13542*j - 5481*j. 1543*j Collect the terms in -19 + 153 - 73 - 58 + 19*x**2. 19*x**2 + 3 Collect the terms in -136*d + 3145 - 1574 - 1571 + 434*d. 298*d Collect the terms in 2210 - 6*j + 4*j + 2296 + 2437 - 1071. -2*j + 5872 Collect the terms in 662*t + 802*t - 660*t. 804*t Collect the terms in 887*w**2 - 109*w**3 - 25*w**3 - 891*w**2. -134*w**3 - 4*w**2 Collect the terms in 31583*b - 15999*b - 15608*b. -24*b Collect the terms in -42*g**2 -
{ "pile_set_name": "DM Mathematics" }
ue Let k = 8 - 4. Suppose 48 = -x + k*x. Is 7 a factor of x? False Suppose 33 + 5 = k. Suppose 1 = -c - 2. Is 4 a factor of c/2 - k/(-4)? True Let y(o) = o**2 - 13*o - 8. Let s be y(7). Let u(w) = w**2 + 8*w + 4. Let k be u(6). Let v = s + k. Is 14 a factor of v? False Suppose -g + 4 = -47. Suppose -3*y + 2*r + 28 = -5*y, 0 = 4*y + 3*r + g. Let l(a) = -a**3 - 8*a**2 + 6*a - 9. Does 9 divide l(y)? True Let j(a) = -a**3 - 6*a**2 - 6*a - 1. Let m be j(-4). Let r = -10 - m. Is (-3 - r*25)/2 a multiple of 6? False Let g = -6 - -8. Let z = 1 + g. Suppose -z*x + 15 = 3*k, 0*k + 3*k - 3 = -x. Does 3 divide x? True Suppose 5*r - 2*d - 2*d - 15 = 0, 3*d = -r + 22. Suppose 0 = -t + 4 + r. Suppose p = t + 3. Is p a multiple of 7? True Suppose 0*j + u - 11 = -3*j, j + 3*u = 1. Let y = j - 2. Let b(g) = g**3 - g**2 + g - 1. Does 5 divide b(y)? True Let o = -3 - -11. Let l = o - -28. Is 18 a factor of l? True Let g be (-970)/(-40) + (-1)/4. Suppose g = 29*d - 28*d. Is d a multiple of 6? True Suppose 0 = -2*s + 2, 4*l - 2*s - 27 = -s. Is l a multiple of 5? False Let y be (-2)/(8/(-4)) + 1. Suppose 0 = -y*v + 7*v - 30. Is 4 a factor of v? False Is 3/(3*(-4)/(-56)) a multiple of 4? False Does 3 divide 402/8 + (-3)/12? False Is ((-910)/(-21))/((-3)/(-9)) a multiple of 13? True Is 20 a factor of (3/(-2))/(1/(-92))? False Is 8 a factor of -4 - 12/4*-7? False Is 20 a factor of 14*3 + 24/(-12)? True Suppose -13*r + 36 = -11*r. Is r a multiple of 10? False Suppose 3*r = -0*r - 2*p + 40, 4*r - 56 = -2*p. Is r a multiple of 8? True Let z(o) = 13*o + 47. Is z(9) a multiple of 7? False Suppose 11*v - 600 = v. Does 7 divide v? False Let a = 73 + -17. Is a a multiple of 17? False Let b(x) = -33*x - 3. Let j be b(-3). Suppose 5 = 2*f - 3*c - 23, 0 = 5*f - c - j. Let o = 6 + f. Does 17 divide o? False Let u(k) = k**2 + k. Let s(b) = -54*b**2 - 2*b + 1. Let i(v) = -s(v) - 3*u(v). Is i(-1) a multiple of 12? False Suppose 18*r + 90 = 23*r. Is r a multiple of 18? True Let a be (-1 + -1)*12/(-8). Suppose -2*k = a*k + 5*b - 55, 3*k - 2*b - 38 = 0. Is k a multiple of 4? True Let s = -1 - -4. Suppose -s - 1 = -x. Does 2 divide x? True Let m = 17 - 11. Suppose -m*l = -3*w - l + 27, -4*w = -5*l - 41. Is 4 a factor of w? False Let u(m) = m**2 + 5*m - 5. Is u(4) a multiple of 13? False Does 13 divide -6*(-50)/8 - (-5)/10? False Let h(j) = 13*j**3 + j**2 - 5*j + 7. Is 13 a factor of h(2)? False Does 4 divide (-34)/(-3) + (-6)/(-9)? True Let h = 223 - 7. Is h a multiple of 23? False Suppose -20 = 2*v - 3*f, 0*v - 2*f - 50 = 5*v. Let t(b) = 6*b**3 + b**2. Let u be t(-1). Let c = u - v. Does 3 divide c? False Let a(x) be the second derivative of x**5/20 + x**4/2 + 2*x**3/3 + x. Let h be a(-5). Suppose 0 = k - h*k + 104. Is k a multiple of 13? True Let f(a) = 76*a**2 - 2*a + 1. Is f(1) a multiple of 37? False Let h = 321 + -224. Is h a multiple of 25? False Let t = 6 - 1. Suppose 3*p = -p + t*k + 7, -4*p = -2*k - 22. Is p a multiple of 4? True Suppose -2*u - 43 = -h, 0*u = -h - 2*u + 47. Does 29 divide h? False Is 14 a factor of (-3 - 6/(-3))/((-1)/55)? False Suppose 5*p = 3*c - 0*c + 37, -p = 5*c + 15. Suppose 0*l - p*t = -2*l + 53, -151 = -4*l + t. Is l a multiple of 11? False Suppose 0 = -m - 4*m + 15. Is 3 a factor of m? True Suppose 0 = 5*p + 3 - 13. Suppose -p*f = -f - 12. Does 4 divide f? True Let z be -1 - -4 - (-1 + 5). Is -1 + (-2)/z - -47 a multiple of 24? True Suppose -297 = -h + 8*c - 4*c, -2*c = 4*h - 1188. Does 11 divide h? True Let p be -2*(-1)/(-2)*2. Let m(n) = 6*n**2 - 3*n - 3. Does 9 divide m(p)? True Let b(k) = k**3 - k**2 + 34. Let c be b(0). Let l = c + 4. Is 10 a factor of l? False Suppose 0 = -4*c + 16 - 4. Let v = c + -1. Suppose -v*f - 3*f + 30 = 0. Is f a multiple of 3? True Suppose -104 = -3*q - 5*n, 4*q - 5*n = 7 + 155. Does 17 divide q? False Let c = 3 - 7. Let s be ((-24)/(-2))/(c/4). Let l = s + 39. Is 9 a factor of l? True Let b(s) = 2*s**2. Suppose 3 = -4*x - 1. Let h be b(x). Suppose r - 135 = -h*r. Is r a multiple of 18? False Let q(r) = -r**3 - 7*r**2 - 3*r + 4. Let b be -2*1/2 - 6. Is q(b) a multiple of 10? False Let y = 23 - 21. Suppose -5*c = -a + y, -2*a + 4*a - 32 = -4*c. Is a a multiple of 3? True Suppose -6*j + 4*j + 478 = 0. Suppose -t + 3 = -2. Suppose 41 = k + t*z, 4*k - j = 3*z + 2*z. Is 19 a factor of k? False Let k(i) = -i + 25. Does 3 divide k(9)? False Suppose 4*q - 3*q = 0. Suppose 0 = 4*y - 3*l - 0*l - 25, -3*l + 3 = q. Does 7 divide y? True Let b = -117 - -194. Suppose -b = -3*a + 37. Does 14 divide a? False Let n(i) = i**2 - 4*i - 15. Is n(-9) a multiple of 11? False Let s = 10 + -8. Does 14 divide -2 - -1 - s - -17? True Let z = 180 - 100. Suppose 4*c - z = -c. Is c a multiple of 6? False Let w(j) = j**3 + 5*j**2 - 5*j + 8. Let d be w(-6). Suppose -p + 4*p = 0. Suppose -d*z + 0 + 4 = p. Is z even? True Suppose z - 4*z + 60 = 4*n, 4*z - 2*n = 80. Is 10 a factor of z? True Let p(y) be the third derivative of y**5/30 - 5*y**4/12 + 4*y**3/3 - y**2. Is 18 a factor of p(7)? True Let j(r) = -r + 2. Let s be j(-2). Let p(h) = -5*h**3 + h**2 - h - 4. Let f(y) = -4*y**3 + 2*y**2 - y - 3. Let m(u) = 4*f(u) - 3*p(u). Is m(s) a multiple of 8? False Let y be ((-6)/(-12))/(2/(-8)). Let c = 2 - y. Suppose -c*a = -34 + 2. Is a a multiple of 3? False Suppose -465 = 3*q - 8*q. Is q a multiple of 14? False Let f(q) = -8*q**2 - q + 13. Let r(v) = -7*v**2 + 12. Let g(k) = 6*f(k) - 7*r(k). Is g(8) a multiple of 5? True Suppose -1 - 1 = -a. Suppose v - 3 = -3*m, -a*v + 1 = -4*m + 5. Is -3*(v + 8/(-6)) a multiple of 3? False Let k(j) = -j**3 + 5*j**2 + j. Let f be k(5). Suppose -g - 43 = -f*b - 0*g, 2*g = -b + 13. Let l = b - 2. Is l a multiple of 4? False Let w be (-3 - -2)*-1 - -2. Suppose 2*z - 5 = -d, 4*z + w*d - 15 = -z. Suppose z = 2*b - 5*b + 42. Is 5 a factor of b? False Let x = 35 + -25. Let j = x + -5. Suppose -p + 4*y = -9 - 41, 3*p = -j*y + 82. Does 17 divide p? True Suppose 4*o + 318 = 5*n, 2*n = 3*n - 2*o - 60. Is 11 a factor of n? True Does 26 divide 466*(2/(-4) + 1)? False Let q(i) = 2*i**2 + 22*i - 12. Is q(-13) a multiple of 5? True Let x(c) = -c**3 - 8*c**2 - 6*c + 7. Let u be x(-7). Does 8 divide u + (-2 - -4) - -21? False Let x(f) = f**2 + 3*f + 2. Is 10 a factor of x(-16)? True Is 3/(-15) + (-442)/(-10) a multiple of 14? False Let f(q) = q. Let u be f(0). Suppose -4*y - w = -225, 2*y + w = -u*y + 113. Suppose 3*b - y = -b. Is 14 a factor of b? True Suppose -237 = -4*m + 4*q - 41, 0 = 4*q - 12. Let s = m + -31. Is 7 a factor of s? True Suppose 0*n = -5*n + 15. Let t be (n/2)/(4/248). Suppose -2*i = 4*a - 29 - t, 0 = 4*a - 4*i - 116. Does 12 divide a? False Is 9 a factor of 2 - -26 - (-14)/7? False Let f(b) = b**3 + 9*b**2 + 8*b + 5. Let k be f(-8). Suppose -k*q + 134 + 161 = 0. Suppose 4*o - q - 41 = 0. Is o a multiple of 12? False Let n = -60 - -112. Suppose -4*c - n = -4*x, 2*x - c + 0*c - 21 = 0. Suppose -4*b + 3*b = -x. Does 4 divide b? True Let h(f) = f**2 + 15*f + 10. Let m be h(-11). Let d = m - -60. Is d a multiple of 12? False Let t(h) = -3*h**3 - h**2 - 2*h - 1. Let a be t(-1). Let l(m) = m**2 + 15*m + 24. Let d be l(-16). Suppose 0 = 2*j + 10, -a*c + 57 = j - d. Is 13 a factor of c? False Suppose 3*u = t - 0*u - 6, 0 = -2*t - 3*u + 3. Suppose k = -i + t, k - 17 + 2 = 5*i. Is 5 a factor of k? True Let b(n) = n**3 + n**2 - 1. Let y(i) = 2*i**3 + 10*i**2 - 2*i - 13. Let s(l) = -b(l) + y(l). Let j be s(-9). Is 4 a factor of (-3)/(-1) + 54/j? True Let a = -11 - -19. Suppose -2*u + 4 + a = 0. Let y = u - -6. Is y a multiple of 12? True Suppose 10*g - 1008 = g. Is g a multiple of 16? True Suppose -5*q - 3*s - 170 = 0, -2*s - s - 139 = 4*q. Let h = q - -71. Is 19 a factor of h? False Let c be 4/(-6) + 131/3. Suppose 25 + c = 4*s. Does 17 divide s? True Let h be (-20)/(-35) - 8/14. Let s = -2 - -1. Is (-33)/(-3) - s - h a multiple of 12? True Suppose 3*c - 3*o - 20 = o, o = 2*c - 5. Let u(d) = -d**3 + 5. Let l be u(c). Suppose 0*b + 2*g - 52 = -4*b, -l*b + 79 = -g. Is 9 a factor of b? False Let g(i) = -2 + 0 + 0*i + 0*i + 2*i. Does 10 divide g(6)? True Let z(t) = -t**2 + 5. Let c be z(0). Suppose 0 = 5*v - v + 4, -c*j + 3*v = -258. Is 17 a factor of j? True Let y be (4 - 6)/(4/422). Let z = y + 301. Is 32 a factor of z? False Let g
{ "pile_set_name": "DM Mathematics" }
8 c What is the second biggest value in 3.69, -12/5, 96? 3.69 What is the smallest value in -49/109, -27, 0.3, 1/6? -27 What is the fourth smallest value in 0.4, 3, -72964, -2/11? 3 Which is the second smallest value? (a) 50/2203 (b) 0.1 (c) -0.3 (d) -5 (e) -1 e Which is the second biggest value? (a) 3 (b) -0.6 (c) 13 (d) -4 (e) 0.7 (f) -12 a Which is the second smallest value? (a) -3/41 (b) 95/277 (c) -3/7 a What is the fourth smallest value in -54, 0.2, -5, -6/7, -3, -151? -3 What is the second biggest value in -13, -0.021, 59/154? -0.021 What is the fifth biggest value in 14, -4, 6, 2, -219, -2/11? -4 Which is the third smallest value? (a) 0.78931 (b) -9 (c) -2/9 (d) 1/6 d Which is the smallest value? (a) 2/37 (b) -0.15 (c) 845 (d) -81 d Which is the sixth biggest value? (a) 0 (b) -8 (c) 615 (d) 0.8 (e) -0.046 (f) 0.4 b What is the fourth biggest value in 0.5, 2, 40, -27, -6/11, 22? 0.5 What is the biggest value in 122, 3, -4, 76373/3? 76373/3 What is the second smallest value in 6584, 1/3, -18/11, 4, -3/2, 5, -10/9? -3/2 Which is the biggest value? (a) -1.4 (b) 2854 (c) 0 (d) 3 b What is the second smallest value in -2, -1/4, -3/7, 2/9, -1, -5, -7? -5 What is the second smallest value in 19/9, -18, 84894? 19/9 What is the sixth smallest value in 1185, -2/7, -0.4, 0.22, -0.2, -4, -2/19? 0.22 Which is the third smallest value? (a) -1003 (b) 0.5 (c) 24574 c What is the biggest value in 0.045, 0.3, -2822969? 0.3 What is the second biggest value in -763, -2/21, 410? -2/21 Which is the second smallest value? (a) -1064 (b) -2/5 (c) 0.0084 (d) -0.5 d What is the third biggest value in -4, 15/88, 3281? -4 Which is the biggest value? (a) -1 (b) 2/6123 (c) 4 (d) -0.09 (e) 0.7 c Which is the sixth biggest value? (a) 1/29 (b) 3 (c) 0.04 (d) -1340 (e) -2 (f) 0.1 (g) -2/5 e Which is the fourth smallest value? (a) -11 (b) -1/25 (c) -5 (d) 0.06 (e) -2/17 b What is the second biggest value in 1840, 4.1111, 1/2? 4.1111 What is the fifth smallest value in -2/3, -1/2, 29, -0.0181, 0.06? 29 Which is the second smallest value? (a) 0.3 (b) 5 (c) 1.6 (d) 1 (e) -1/6 (f) -1.24 (g) 4/11 e Which is the sixth biggest value? (a) 0.4 (b) -12 (c) -6/13 (d) 0.968 (e) -3/2 (f) -0.3 b Which is the smallest value? (a) 3 (b) 4 (c) -2/5 (d) -0.38 (e) -1/4 (f) 16 c What is the second smallest value in 11, -12, -0.4, 7, -10? -10 What is the third biggest value in 2623/5, 4, 3, -4, 5/2? 3 What is the fourth biggest value in -1.583, 2/17, 742, -0.1, -1/5? -1/5 What is the third biggest value in 38, 373, 1, 4, -3, -8, 0? 4 Which is the second smallest value? (a) 3 (b) -2 (c) 2 (d) 1409167 c What is the biggest value in 43/6, 4, -136/11, -4, -22? 43/6 Which is the fourth biggest value? (a) -0.5 (b) 9 (c) -2 (d) 5 (e) 0.07 (f) -1/5 (g) 0.021 g What is the biggest value in -2800, -4, 864, 0? 864 Which is the third biggest value? (a) -1 (b) -10899.2 (c) -0.5 (d) -2/5 a Which is the sixth smallest value? (a) -2/15 (b) -44 (c) -34 (d) 0.2 (e) 9 (f) -1 e What is the second biggest value in -45, 4, -1/3, -1/78, 82? 4 Which is the biggest value? (a) -20463 (b) -116 (c) 50 c What is the fourth biggest value in -1/159, 0.02, 3, -0.051, 5, 2/5? 0.02 Which is the second biggest value? (a) -1/16 (b) 5 (c) 2149401 b Which is the fifth biggest value? (a) 0.65 (b) -5 (c) 21 (d) 3 (e) -8 (f) -0.07 (g) 0.1 f Which is the sixth smallest value? (a) -0.1 (b) 4 (c) -25 (d) 2/13 (e) -72 (f) 2/53 b What is the biggest value in -0.1, 4, 24, 0.5, 15, -20, 5? 24 Which is the second smallest value? (a) -3 (b) -5 (c) -3/2 (d) 0 (e) -0.004 (f) 3/8 a Which is the biggest value? (a) 2/1185 (b) -1 (c) -5/3 (d) -1/62 (e) 2 e Which is the smallest value? (a) -0.027 (b) 3/58 (c) -3 (d) 2/5 (e) 3 (f) 0 (g) 1 c What is the biggest value in 27/2, 7, 651, -2/3, -4/9, 0.06, 4? 651 What is the second smallest value in -4/9, -2/23, 911/8, -2/111? -2/23 Which is the third smallest value? (a) 0.4 (b) -2.66 (c) 5/4 (d) 5 (e) -73 (f) -0.3 f What is the second biggest value in 0.158, -0.4, -0.010252? -0.010252 What is the smallest value in -5.553, 3628, -2? -5.553 What is the fourth smallest value in 2/111, 2/13, 4/7, 1.889, 6/37? 4/7 What is the smallest value in 2, 5, -6/5, 0.3, -5, -4223? -4223 What is the fourth biggest value in -2, 4.21, 2/231, 0.4, -2.4? -2 Which is the second smallest value? (a) 62/19 (b) -0.61 (c) -6/17 c What is the fifth smallest value in -0.38, 0.7, 2/19, 6/5, -6, 2? 6/5 Which is the third smallest value? (a) -4 (b) 1.6 (c) 0.1958 (d) 0 (e) 14 c What is the second smallest value in 1/2533, -1.3, -9? -1.3 What is the second smallest value in 3, -1.5697, -1/3, -8, -0.3? -1.5697 Which is the seventh smallest value? (a) 16.13 (b) 1 (c) 5 (d) 1/2 (e) 4 (f) 0.09 (g) -2 a Which is the fifth biggest value? (a) 3/25 (b) 2 (c) -59 (d) 17 (e) -1.1 (f) 3 e Which is the third smallest value? (a) 53 (b) -2/25 (c) 6/73 a Which is the fifth smallest value? (a) -29/1240 (b) -0.06 (c) 0.1 (d) 1/9 (e) 9 e Which is the third smallest value? (a) -0.844132 (b) -1/4 (c) 2/11 c Which is the biggest value? (a) -254 (b) -51/22 (c) 0.5 (d) 6 (e) -0.2 d What is the third smallest value in -35/194, -2/1313, -3, -4? -35/194 What is the third smallest value in 0.068161, 5.98, 0, -1/4? 0.068161 What is the smallest value in -4, 562, -23.39? -23.39 What is the biggest value in -4, 0.112, -1/150, 1? 1 Which is the second smallest value? (a) 10/9 (b) -4/5 (c) -3 (d) -24 (e) -7433 d What is the fifth smallest value in -0.3, 2/19, -0.5899, 2, 3/5? 2 What is the third smallest value in 40.888, 15, -0.36, -3, -2/7, 2? -2/7 What is the sixth biggest value in 182, -5/2, 2/15, 3, -9/68, -5? -5 What is the third biggest value in -0.2, 101, 0.4, 4643, 0.3, 0.1, -0.1? 0.4 What is the fifth biggest value in 0.05, -0.144, 0.02, 0.4, -1/3, 2, -2/15? -2/15 What is the fourth biggest value in 37/9, -3/13, -457, 0.5? -457 What is the third smallest value in 0.27, 4, 3/8, 9/2, 9, 10.8? 4 Which is the third smallest value? (a) 23615 (b) 7/20 (c) 0 a What is the smallest value in 0.06, -2/7, -36.12, 0, 4, -31/7? -36.12 What is the sixth smallest value in -2/11, 0.1, 730, -60, 2, -2? 730 Which is the third smallest value? (a) 1.4 (b) 0.5 (c) 11 (d) 4 (e) 29/15 e Which is the sixth biggest value? (a) -54 (b) 2 (c) -2/11 (d) -0.23 (e) 2/51 (f) 162 a What is the third smallest value in -3, 0, 0.1, 3/314, -3/20? 0 What is the third biggest value in 0.07, -1.1, -202, -9? -9 Which is the fifth biggest value? (a) 3443.11 (b) 3/7 (c) 32 (d) -3 (e) -4 (f) -2/19 d Which is the third smallest value? (a) 2 (b) -0.015 (c) 18647/6 c What is the fifth biggest value in -6/67, -5/4, 153/5, -2, -1, 2, 1? -1 Which is the fifth smallest value? (a) 109.8 (b) -0.4 (c) -9 (d) -0.13 (e) 4/3 (f) 15/4 f Which is the sixth biggest value? (a) -3/4 (b) -0.2 (c) -5 (d) 37/42 (e) -6 (f) -1/8 e What is the seventh smallest value in 30, 0.26, -2, -1, 6/7, 1/44, 3/5? 30 What is the seventh smallest value in 2/19, 0.3, -1, 2/7, 1, 30.8, -0.08? 30.8 Which is the second biggest value? (a) 3/2 (b) -0.2 (c) 0.1 (d) -1/8 (e) 12/1049 c What is the biggest value in 2/9, 155528/15, -14? 155528/15 Which is the sixth smallest value? (a) 0 (b) 1/2 (c) 3/8 (d) -1027 (e) -1/6 (f) 0.07 (g) -3/7 c Which is the fourth smallest value? (a) -8 (b) 13258 (c) 0.01 (d) 2 b Which is the sixth smallest value? (a) -0.5 (b) 2/65 (c) -5.38 (d) -26 (e) 1 (f) -0.4 (g) -1 b What is the fifth smallest value in 29.4, 2/5, 1/11, 20, 0.11, 4, -0.2? 4 What is the sixth smallest value in -5, -36, 2, -4/9, 1/17, -165? 2 Which is the fourth smallest value? (a) -0.5 (b) -1/20 (c) -1.7 (d) -92.93 (e) 0.1 b What is the fourth smallest value in -2, -1/10, -1/2, 23694, 3/2? 3/2 Which is the biggest value? (a) -2 (b) 0.5 (c) 0.4 (d) 61/5 (e) -1 (f) -5 (g) 2/11 d What is the fifth smallest value in 18, 2/21, 4, 0.5, -2/85? 18 What is the second smallest value in 3.4, -3, 6, 4, -0.4, 1510? -0.4 What is the second smallest value in -1.58, 1.831, 139? 1.831 Which is the smallest value?
{ "pile_set_name": "DM Mathematics" }
+ 2. Let s be d(2). Let h(b) = 6*b**2 + 9*b + 1. Let a(u) = u**3 - 3*u**2 + 2*u**2 + 4*u**3 - 4*u**3. Let j(r) = -a(r) + h(r). What is j(s)? 9 Let v(c) = -5*c**2 + c - 1. Suppose 4*p = n - 21, 5*n = p + 23 + 6. Let g(u) = -4*u**2. Let l(m) = p*g(m) + 3*v(m). Let t = 25 + -30. Give l(t). 7 Let g(r) = 4*r - 7. Let u(v) = 7*v - 13. Suppose 0 = 5*p - 9 + 24. Let a(c) = p*u(c) + 5*g(c). What is a(7)? -3 Let w(t) be the first derivative of t**4/4 + t**3/3 - t**2/2 + 6*t - 1. Let b = 91 - 79. Suppose -5*z = 3*s - 8 - b, -4*s + 5*z = 20. Determine w(s). 6 Let h = -742 + 745. Let v(z) = -z**2 + 5*z - 1. Calculate v(h). 5 Let f(r) be the second derivative of -r**3/6 + 10*r**2 - 167*r + 2. Calculate f(9). 11 Suppose 0 = 4*w - 4 + 8. Let l be (-35)/7 + w + 4. Let p(v) = -2*v**2 - 4*v - 3. Calculate p(l). -3 Suppose 6*h - 7*h + 6 = 0. Let c(w) = 6*w - 2. Determine c(h). 34 Let r(c) = -c**2 - 4*c. Let b = -27 - -46. Let o = b + -22. Give r(o). 3 Let f(j) = j**3 - 7*j**2 + 1 + 3 + 0. Let l be f(7). Let s(u) = -1 + 1304*u - 665*u - 638*u. What is s(l)? 3 Let o(g) = -g**3 + 6*g**2 + 6*g + 5. Let d(q) = 5*q - 8. Let c be d(7). Let m = c + -16. Suppose 0 = 10*p - m*p + 7. Give o(p). -2 Let u = -263 - -269. Let m(p) = -p**3 + 5*p**2 + 5*p - 2. Give m(u). -8 Let i(l) = -l**3 + 5*l**2 - 4. Let u = 117 + -112. Calculate i(u). -4 Let i(u) be the second derivative of -u**7/2520 - u**6/720 + 7*u**5/60 - 19*u**4/12 + 10*u. Let l(y) be the third derivative of i(y). Calculate l(0). 14 Suppose -d + 0*d = -5. Let p(q) = 5*q**2 - 9. Let y(a) = a**2 + 9*a + 4. Let w be y(-9). Let h(b) = -4*b**2 + b + 8. Let t(k) = w*h(k) + 3*p(k). Give t(d). 0 Let i(d) = -d**2 - 5*d - 5. Let t = 6 + -2. Let h(w) = -t*w - 3 + 6*w - w. Let n be h(-2). Give i(n). -5 Let x(h) be the second derivative of 3/4*h**4 - 1/20*h**5 - 5/3*h**3 - 5*h + 6*h**2 + 0. Let q = -77 - -85. Give x(q). -4 Let h(m) be the third derivative of m**4/24 - 5*m**3/6 + m**2 + 35. Let f be (-1)/((-5)/(-3) - 2). Determine h(f). -2 Let j(b) = 19*b**2 - 17*b**2 + 5*b - 3*b. Suppose -11 = -2*o - 7. Give j(o). 12 Let q(o) = -52*o**2 - 20*o - 14. Let j(w) = -18*w**2 - 7*w - 5. Let h(f) = 17*j(f) - 6*q(f). Determine h(-2). 21 Let y(v) = -8*v - 1. Let c(n) = 7*n + 2. Let s(r) = 4*c(r) + 3*y(r). Let z(d) = -9*d - 11. Let m(j) = 7*s(j) + 3*z(j). Give m(6). 8 Let d(c) = -c**3 + 5*c**2 - 4*c + 4. Let v be (-43)/9 + 6/(-27). Let w = 23 + -14. Let l = w + v. What is d(l)? 4 Let m(r) = -5*r - 9. Let u(k) = 6*k + 12. Let o(t) = 7*m(t) + 6*u(t). What is o(-3)? 6 Let v(z) = -z**2 + 2*z. Let y be 346/(-10) + (-21)/(-35). Let r = 40 + y. What is v(r)? -24 Let m(n) = -n. Suppose 0 = c - 8 - 27. Suppose 30*q + 10 = c*q. Calculate m(q). -2 Let z(g) = -11*g + 2*g - 13 + 10*g. What is z(12)? -1 Suppose -5*z + 9*z - 3*g = 11, -2*g - 9 = -3*z. Let a(j) = -2*j + 6. Calculate a(z). -4 Let g(u) = -6*u**3 + 45*u**2 - 60*u - 111. Let c(q) = q**3 - 9*q**2 + 12*q + 22. Let o(n) = 11*c(n) + 2*g(n). Calculate o(-10). 0 Suppose -3 = s - 9. Suppose -2*u + s*h + 13 = h, 0 = -4*u - 2*h + 14. Let t(q) be the second derivative of -q**5/20 + q**4/4 + 2*q**3/3 + q**2 - q. Give t(u). 2 Let y be ((-6)/(-27))/(5/45). Let b(w) = 4 + w**y + 5 - 20 + 14 - 8*w. Give b(6). -9 Let x(y) be the third derivative of y**6/120 - y**5/6 + y**4/3 + y**3/6 - 2*y**2 + 2*y - 36. Let w(z) = -8*z**3 + z**2 - z - 1. Let d be w(-1). Give x(d). -8 Let k(p) = 208*p - 6. Let d(b) = -38*b + 1. Let a(x) = -22*d(x) - 4*k(x). Let l = -7 - -5. Calculate a(l). -6 Let j(s) be the second derivative of s**4/2 + s**2/2 + 276*s + 2. Give j(1). 7 Let g(v) be the third derivative of v**4/12 + 11*v**3/6 + 2*v**2 + 17. Let x be 6/(-3 + (-36)/(-16)). Calculate g(x). -5 Let p(u) = -u**3 + 4*u + 1. Let z be p(-2). Let i(h) = -h**3 + 2*h**2. Determine i(z). 1 Let s(g) be the second derivative of -13*g**3/6 - g**2 + 5*g + 45. Calculate s(3). -41 Let i(j) = 66*j - 262. Let y be i(4). Let d(s) = 3*s**2 - 2*s + 4. Determine d(y). 12 Let h(y) = y**3 + 2*y**2 + 6 - 3*y + 4*y**2 + 9*y. Let b(u) = u**3 - u**2 - 3*u + 1. Let d be b(2). Let a be (-5 - 2) + 1 - d. What is h(a)? 1 Let r be 3*((-50)/(-15) + -2). Let f(g) = -2*g + 1. Let p(t) = 7*t - 20. Let d(q) = r*f(q) + p(q). Calculate d(-9). -7 Let a(m) = 397*m + 9 + 400*m - 799*m. Give a(-10). 29 Suppose -3*g = 5*h + 18, 4*g + 6 = 2. Let z(l) = l - 2. What is z(h)? -5 Let k(b) = 0*b**2 - 4*b - 2*b - b**2 - 4*b - 27 + 6. Determine k(-6). 3 Suppose 4*x - 2*t - 15 = -37, 2*t = 6. Let v(i) = 2*i**2 + 3*i + 1. Give v(x). 21 Let l(b) = -1233 - b**2 + 9*b - 8*b**2 + 2475 - 1237 + b**3. Give l(7). -30 Let t(n) = -2*n - 1 + 2 - n + 4*n. Suppose 3*v + 5*b - 12 = -5, -5*b + 10 = 0. Calculate t(v). 0 Let t(m) = m**2 + m + 4. Let p(z) = -2*z - 6. Let y be p(-7). Suppose 4*l + 8 = x, 2*l - 6*l = 5*x + y. Determine t(x). 4 Suppose 25 = 14*v + 109. Let d(n) = n**3 + 5*n**2 - 8*n - 9. What is d(v)? 3 Suppose 5 + 7 = 3*y + 3*g, 2*y + 3*g - 13 = 0. Let s(t) = 3*t**3 - t**2 + t - 1. Let q be s(1). Let h(r) = 8*r**2 + 3*r**2 - 3*r**2 + r**q. Give h(y). 9 Let q(b) be the third derivative of 0 - 1/24*b**4 - 8/3*b**3 + 0*b - b**2. Calculate q(-9). -7 Let g(y) be the third derivative of -y**6/120 - y**5/20 + y**4/6 + y**3/3 + y**2. Suppose -j = 2*j + 12. Calculate g(j). 2 Let t be (-222)/(-4662) - 166/(-42). Let r(p) = 2*p**2 - 4*p - 6. Determine r(t). 10 Let y(s) = -2*s**3 - 2*s**2 - 7 + 9*s - 7*s**2 + s**3 + 0*s**3. Let m be y(-10). Let n(i) = -4*i**2 - 6*i**2 - 2*i**3 - 6 + 3*i**m + 9*i + 2*i**2. What is n(7)? 8 Let l(h) = 2*h - 9. Let z be 596/84 - 12/126. Give l(z). 5 Let n(i) = i**3 - 4*i**2 - 4*i - 7. Let c(s) = -s**3 + 7*s**2 - 3*s + 2. Let h be c(6). Let z be h/1*2/8. What is n(z)? -2 Suppose -17 = -9*d + 10*d + 3*h, -5*d = -h + 37. Let v(f) = 2*f + 19. What is v(d)? 3 Let u(w) be the first derivative of -w**4/4 + 10*w**3/3 + 3*w**2/2 - 23*w - 372. Give u(10). 7 Let l(s) = -s**3 + 2*s**2 - 4. Let z(t) = t**2 + 2*t - 5. Suppose -4*m + m - 12 = 0. Let w be z(m). Calculate l(w). -13 Let k be 8/((-4)/(-2))*-4. Let a = -9 - k. Let q(o) = 2*o - o**2 + a*o + 5 - 5*o. Calculate q(6). -7 Let d(o) = o**2 - 6*o - 1. Let t(r) = -160*r - 2*r**2 + 0*r**2 + 39 + 190*r. Let a be t(16). What is d(a)? 6 Let z(o) = -o**3 - 3*o**2 + 7*o + 5. Suppose 10*q = 12*q + 4. Let y(v) = v**2 + 1. Let h(b) = q*y(b) + z(b). Give h(-6). -3 Suppose -4*i - 7 = -2*r - 27, r = -2*i + 10. Let k(j) = -j**3 + 4*j**2 + 7*j. What is k(i)? 10 Let f(w) = -w**3 - 5*w**2 + 19*w. Let y be f(-8). Suppose -30 = -2*z - y. Let c(b) = -b**2 - 8*b - 7. What is c(z)? 8 Let t(h) be the second derivative of -h**4/12 - 5*h**3/6 + h**2 - 44*h. Determine t(4). -34 Let z = 7 + -3. Suppose -z*n + 14 = -4*w + 7*w, 5*w + 4*n = 26. Let o(h) = h - 7*h**2 + w - 6 + 0. Give o(1). -6 Let q(f) = 5*f**3 - 43*f**2 - 39*f + 71. Let o(c) = -3*c**3 + 29*c**2 + 26*c - 47. Let s(w) = -8*o(w) - 5*q(w). Calculate s(-16). -27 Let g be (4/6)/(16/24). Let h(x) = -7*x. Let y be h(g). Let v(d) be the third derivative of -d**5/60 - d**4/3 - 3*d**2. What is v(y)? 7 Let b(v) = 7*v - 6. Let d(x) = -15*x + 13. Let r(q) = 13*b(q) + 6*d(q). Suppose -2*f = 182 + 80. Let h = -130 - f. What is r(h)? 1 Let u = 7 + -2. Suppose 2*b - 4*r = -24, -u*b - 28 + 8 = -2*r. Let y be b/(3 - (-39)/(-15)). Let m(x) = x**2 + 5*x + 1. Calculate m(y). 1 Let h(u) = 308 + 28*u - 29*u - 310. Determine h(-4). 2 Let m = -8 - -12. Suppose 2*a - 34 = -m*z, 5*z - 7 = -2*a + 33. Let p(i) = -i + 2*i**2 - z*i + 4 + 3*i + 0. Give p(3). 10 Let w(r) = 3*r - 2*r**2 + 0*r**3 + 3*r**3 - 2*r**3 + 3 + 3*r**2. Let k be (5 - 0)*20/(-50). Determine w(k). -7 Let v(o) = 181*o**3 - 14*o**2 - 182*o**3 + o - 3*o + 14 + 2*o. Determine v(-14). 14 Suppose -5*l - 2*p = -9, 5*l = l + 5*p + 27. Let j(d) = d**3 - 3*d**2 + d + 3. Give j(l). 6 Let i(b) be the first derivative of b**3/3 - b**2 - 31*b + 562. Give i(-5). 4 Let c = 379 - 373. Let p(w) = -3*w. Determine p(c). -18 Let u(i) be the first derivative of i**4/12 + 7*i**2/2 - 8*i - 8. Let s(d) be the first derivative of u(d). Give s(0). 7 Let i(l) = 5*l**2 + 9*l - 9. Let r(v) = 6*v**2 + 10*v - 8. Let a(w) = 5*i(w) - 4*r(w). Give a(-7). 1 Let l(s) = -s + 2. Let y(z) = 2*z**2 + 3*z. Let b be y(3). Let j = b + -29. Determine l(j). 4 Suppose -2*g - m + 6 = 0, -2*g - 2*m =
{ "pile_set_name": "DM Mathematics" }
(b). 5*b + 1 Let r(q) = q**2. Let v = -39902 + 39903. Let l(s) be the third derivative of s**6/120 + s**5/10 + s**3/2 - s**2. Give v*l(p) - 6*r(p). p**3 + 3 Let g(l) = 1. Let p(y) = 4*y + 6. Let h be 14/3*18/12. Let d be (h/21)/((-4)/(-12)). Give d*p(b) - 5*g(b). 4*b + 1 Let f(s) = 79*s**2 + 6*s + 4. Let c(u) = -3*u**2 + 1. Determine 4*c(t) - f(t). -91*t**2 - 6*t Let y(w) = -w**2 - 2*w - 4. Let c(i) = i + 3. Let j = 2141 - 2143. Give j*y(s) - 3*c(s). 2*s**2 + s - 1 Let n(w) = -w + 3. Let x(j) = 4*j - 132. What is -5*n(d) - x(d)? d + 117 Let m(g) = 26*g**2 - 696*g - 14. Let x(o) = 6*o**2 - 174*o - 3. Determine -2*m(c) + 9*x(c). 2*c**2 - 174*c + 1 Let s(p) = -5146*p**2 + 3*p + 15. Let n(b) = 319051*b**2 - 185*b - 925. Determine 3*n(a) + 185*s(a). 5143*a**2 Let a(p) = p**2 + 71*p + 3482. Let x(s) = 14*s + 3. Give -a(j) + 5*x(j). -j**2 - j - 3467 Let a(h) = 63*h - 106. Let w(s) = 62*s - 86. What is -4*a(u) + 5*w(u)? 58*u - 6 Let u(g) = 4 + 8 - 15 - 26*g + 7 - 2. Let k(a) = -13*a + 1. Determine 7*k(i) - 3*u(i). -13*i + 1 Let x be (-2)/3 - 176/(-48). Let r(f) = f**3 + f**2 - 1. Let h(m) = m**3 + 2*m**2 - 1. Calculate x*h(q) - 6*r(q). -3*q**3 + 3 Let k(b) = 17*b**2 - 6*b - 3. Let n(d) = -127*d - 13. Let y(s) = 106*s + 11. Let g(h) = -5*n(h) - 6*y(h). Give -5*g(r) + k(r). 17*r**2 - r + 2 Let j(a) = -3*a + 4. Let w(i) = -9*i + 11. Let d be (9 + (-63)/9)*6/4. Suppose 11*p + 56 = 4*p. Calculate d*w(o) + p*j(o). -3*o + 1 Let g be 620/(-558)*(0 + -18). Let x(n) = n**3 - 7*n**2 - n - 7. Let d be x(7). Let c = d + g. Let u(p) = -p - 6. Let s(f) = -f - 7. What is c*s(q) - 7*u(q)? q Let c(h) = -365*h. Let l(j) = -52*j. Let y = -8001 + 7999. Give y*c(u) + 15*l(u). -50*u Let w(x) = -9*x**2 - 33*x + 5. Let m(g) = 4*g**2 + 17*g - 2. Let j(f) = -16*f - 867. Let k be j(-54). Determine k*w(s) - 7*m(s). -s**2 - 20*s - 1 Let k(g) = 10*g**2 + 7*g. Let q = -78 + 80. Let f(b) = -15*b**2 - 23*b**2 + 35*b**2 - q*b. Let o be 46/12 + (-2)/(-12). Calculate o*k(t) + 14*f(t). -2*t**2 Let o(w) = -488*w**2 - 7*w - 21. Let m(g) = -245*g**2 - 3*g - 9. Calculate -7*m(l) + 3*o(l). 251*l**2 Let r(l) = -l**3 - l**2 + l - 5. Let x be (-2)/4 - (-18496)/128. Let s(d) = 0*d**2 + x + d**2 - 142. What is -2*r(t) - 5*s(t)? 2*t**3 - 3*t**2 - 2*t Let s(k) = 3*k**2 - 145*k + 1. Let o(y) = 4*y**2 - 72*y + 1. What is 5*o(h) - 3*s(h)? 11*h**2 + 75*h + 2 Let f(r) = 3*r**2 - 84*r - 9. Let a(x) = 2*x**2 - 41*x - 4. Calculate -7*a(p) + 3*f(p). -5*p**2 + 35*p + 1 Let k(c) = -7*c**2 - 18*c - 327. Let l(n) = -8*n**2 - 21*n - 328. What is 7*k(z) - 6*l(z)? -z**2 - 321 Let h(t) = -4*t**2 + 2. Let r(k) = k**3 - 20*k**2 + 2*k - 38. Let s be r(20). Let u(b) = -b + 12*b**s + 1058 + b - 1065. Give -7*h(o) - 2*u(o). 4*o**2 Suppose 4*g - 12 = 4. Suppose 0 = j - 0*j - g. Let i(l) = 2 + l + 0*l - j*l. Let n(h) = 8*h - 6. Calculate -11*i(m) - 4*n(m). m + 2 Let i(d) = 309*d**3 + 10*d**2 + 30*d - 2. Let b(f) = -154*f**3 - 4*f**2 - 12*f + 1. Calculate 10*b(l) + 4*i(l). -304*l**3 + 2 Let u(r) = -19*r**3 + 27*r**2 - 16*r + 20. Let a(c) = 20*c**3 - 24*c**2 + 18*c - 22. Determine -8*a(y) - 9*u(y). 11*y**3 - 51*y**2 - 4 Let o(q) = -33*q - 5 - 26*q + 278*q - 226*q. Suppose -9 = 4*u + 11. Let y(z) = -1. Determine u*y(x) + o(x). -7*x Suppose -t - 28*t + 29 = 0. Let k(z) = -15*z. Let d(o) = -o - 1. What is t*k(l) - 3*d(l)? -12*l + 3 Let j(z) = 592*z + 4. Let t(b) = -604*b - 5. Give 7*j(w) + 6*t(w). 520*w - 2 Let l(i) = 39 + 7*i - 45 - 3*i. Let p(d) = 1. Suppose 0 = 3*s + 2*f - 0*f + 40, 0 = 5*s + f + 76. Let y be 6/9 - s/3. Determine y*p(n) + l(n). 4*n Let w = -235 + 235. Suppose w = 4*t + 34*t + 114. Let z(a) = 4*a**3 + a. Let u(d) = 8*d**3 + 2*d. Give t*u(o) + 7*z(o). 4*o**3 + o Let k(l) = 561*l**3 - 119*l. Let a(r) = -28*r**3 + 6*r. Suppose 4*p - 7 = 5*i + 7, 16 = 4*p - 4*i. Calculate p*k(v) + 119*a(v). 34*v**3 Let c(o) = o - 1. Let n(y) = -7*y - 4. Let q(x) = -x**3 - 6*x**2 + 25*x - 19. Let v be q(-9). Give v*n(d) + 5*c(d). 12*d - 1 Let q(t) = -3*t**2 - 7*t + 4. Let x(n) = 9*n**2 + 21*n - 11. Let i(p) = -p**3 + 3*p**2 - 26*p + 52. Let o be i(2). Give o*x(s) + 11*q(s). 3*s**2 + 7*s Let k(y) = 5*y**2 - 7. Let n(m) = -15*m**2 + 20. Suppose -3*i = 4*j + 30, i + 4*i = 4*j - 18. Suppose -p = -9*p - 136. Determine i*n(l) + p*k(l). 5*l**2 - 1 Let x(z) = -131 + 178 + 5*z + 5*z + 3*z. Let r(t) = -7*t - 24. Determine -11*r(c) - 6*x(c). -c - 18 Let s(h) = 7*h - 5. Suppose 2*a - t - 80 = -3*a, 4*a = -5*t + 93. Let i = a + -21. Let f(b) = 2 + 26*b - 16*b - 13*b. Calculate i*s(p) - 10*f(p). 2*p Let h = 3631 - 3628. Let w(d) = 2. Let c(z) = -z + 1. Give h*c(g) - w(g). -3*g + 1 Let i(h) = 83*h**2 + 157*h - 2. Let t(z) = -168*z**2 - 388*z + 5. Determine 5*i(b) + 2*t(b). 79*b**2 + 9*b Let h be (-3)/(-6)*(-8 - 14). Let u(a) = -5*a**3 - 12*a**2 - 6*a. Let m(t) = -2*t**3 - 4*t**2 - 2*t. Calculate h*m(j) + 4*u(j). 2*j**3 - 4*j**2 - 2*j Let a(u) = -90*u**3 - 8*u**2 - 729*u + 8. Let o(m) = -56*m**3 - 5*m**2 - 486*m + 5. What is 5*a(k) - 8*o(k)? -2*k**3 + 243*k Let t(g) = 2*g. Let h(l) = -12*l**2 - 12*l + 13. Let c(b) = h(b) + 6*t(b). Let w(p) = p**2 - 1. Let n be (2/(-9)*-39)/(39/(-351)). Give n*w(o) - 6*c(o). -6*o**2 Let o(h) = 3*h**2 + 5*h + 3. Let a be 4/(3*60/(-28) - -7). Let x(i) = 16*i**2 - 4 + 3 - 11*i**2 + 7*i + 5. What is a*o(z) - 5*x(z)? -4*z**2 + 1 Let g(u) = u**3 - 3*u - 1. Let a(o) = 4*o**3 - 45*o. Give a(t) - 5*g(t). -t**3 - 30*t + 5 Let j(c) = 385 - 1150 + 383 - 14*c**2 + 28*c + 384 - 12*c. Let f(y) = y**2 - y. What is 12*f(r) + j(r)? -2*r**2 + 4*r + 2 Let w(i) = -i + 1. Let l(p) = -13*p + 53. Let d(u) = -20*u + 84. Let v(b) = -5*d(b) + 8*l(b). Calculate -4*v(j) + 18*w(j). -2*j + 2 Let l(g) = -52*g - 3. Suppose 4*c + 4 = 4*f, 2*c - 23 = -2*f - 37. Let x(s) = -987*s - 56. Determine f*x(m) + 56*l(m). 49*m Suppose -36*m + 1461 - 417 = 0. Suppose -9*v = -m - 43. Let a(f) = 11*f. Let y(r) = 32*r. Give v*a(k) - 3*y(k). -8*k Let u(t) = 57*t. Let v(r) = 1051*r - 12. Let c(k) = -1799304*k + 20540. Let g(o) = 3*c(o) + 5135*v(o). Determine 5*g(f) + 91*u(f). 52*f Let k(v) = 16*v - 17. Let x(y) = -y + 3. Determine -k(j) - 3*x(j). -13*j + 8 Let w(i) = 940034*i - 3062. Let x(j) = -3072*j + 10. Calculate -5*w(d) - 1531*x(d). 3062*d Let f(i) = i**3 + 5. Suppose -12 = -2*z + 2*t, 4*z + 6 = -2*t + 24. Let o(w) be the first derivative of w**4/4 + 4*w - 54184. Give z*o(h) - 4*f(h). h**3 Let z(y) = -24*y**3 + 2*y**2 - 8*y - 8. Suppose -11*p - 27 = -2*p. Let o be (p/15)/(3/(-180)*4). Let g(x) = -8*x**3 + x**2 - 3*x - 3. Determine o*z(v) - 8*g(v). -8*v**3 - 2*v**2 Let k(c) = -1582*c - 55. Let y(d) = 2109*d + 76. Give -11*k(t) - 8*y(t). 530*t - 3 Let w(v) = 37*v**2 - 1636*v - 4838. Let b be w(47). Let x(l) = -3*l**3 - 2*l + 3. Let d = -1 - -3. Let a(q) = 4*q**3 + 2*q - 2. Calculate b*a(n) + d*x(n). 6*n**3 + 2*n Let g(c) = -c**2 + 285*c - 5061. Let l be g(19). Let i(d) = -9*d**3 + 5*d**2 - 4*d - 4. Let k(u) = 13*u**3 - 7*u**2 + 6*u + 6. Determine l*i(s) - 5*k(s). -2*s**3 - 2*s - 2 Let h = 30 + -13. Suppose -2*i - 1 = -75*l + 80*l, 4 = -4*l. Let a(c) = -h + 2*c**i + 14 - 25*c + 22*c. Let d(j) = -j**2 + j + 1. Give -4*a(y) - 12*d(y). 4*y**2 Let n(h) = -29*h - 300. Let c(b) = 73*b + 600. What is -2*c(a) - 5*n(a)? -a + 300 Let s(p) = 3424*p - 7. Let g(h) = -3420*h + 4. Determine 3*g(d) + 2*s(d). -3412*d - 2 Let k(a) = a**3 - a**2 - a. Let c be (-1 + 2)*-1 + (3 - -1). Let x(l) = c*l**2 + 7*l**2 - 7*l**3 - 8*l**3 + 12*l - 2*l. Give -10*k(q) - x(q). 5*q**3 Let s(b) = -99*b**2 + 24*b + 155. Let o(w) = -49*w**2 + 13*w + 83. Calculate 11*o(t) - 6*s(t). 55*t**2 - t - 17 Let d(a) = -2*a - 17. Suppose -103*n = -x - 105*n - 29, x + 4*n = -45. Suppose -3 = -o - 0. Let t(z) = -o*z + 4*z - 2*z - 8. Give x*t(v) + 6*d(v). v + 2 Let d(b) = 2*b**3 + 2*b**2 - b + 1. Let r = 143 + -141. Let m(w) = 17*w - w**3 - 16*w + 25*w**2 - 24*w**r - 1. What is -d(h) - m(h)? -h**3 - 3*h**2 Let s(j) = 25*j - 2. Let k(r) = 2001*r - 161. Suppose -4*x - 306 = -4*a - 310, 4*a = 5*x - 7. Determine a*k(g) - 161*s(g). -23*g Let q(g) = 2*g**3 + 5*g**2 - 5*g - 5. Let b(x) be the first derivative of 4/3*x**3 - 4*x - 2*x**2 + 56 + 1/4*x**4. What is 5*b(u) - 4*q(u)? -3*u**3 Let j(h) = 4*h**2 - 3*h. Let z(v) be the first derivative of 13*v**3/3 - 9*v**2/2 + v + 5830. Calculate 7*j(c) - 2*z(c). 2*c**2 - 3*c
{ "pile_set_name": "DM Mathematics" }
he third biggest value in i, r, 0.3? 0.3 Let w = 0 - 2. Let z = -1.4 + 0.4. Let k = 7.92 - 3.92. Which is the fourth smallest value? (a) z (b) 2 (c) k (d) w c Let p = -0.43 - -1.33. Let h = 3.9 - p. Let u = -1.98 - 0.02. Which is the fourth smallest value? (a) u (b) 2/3 (c) 1/6 (d) h d Let u(q) = q**2 - 9*q + 13. Let h be u(6). Let y be ((-64)/(-12) + h)/((-11)/6). What is the third biggest value in 13, y, 3? y Let u = -16.188 - -0.088. Let k = u + 22.1. What is the smallest value in 2, 2/11, k? 2/11 Let r = -34.66 + 34.86. Which is the fifth biggest value? (a) r (b) 2 (c) -6 (d) -1/16 (e) 0 c Let l = 56.2 - 57.151. What is the third biggest value in l, 0.3, -3/8? l Let r be (5/19)/(180/(-72)). Which is the smallest value? (a) 2/3 (b) r (c) -0.017 b Let u be (-113)/(-339) - 0*(14/4)/(-7). What is the third biggest value in -4, 2/35, u, 0, -0.6? 0 Let p = 9646 + -57875/6. Which is the fourth smallest value? (a) -0.4 (b) -1/6 (c) 0.097 (d) p (e) -2/9 c Let j = 839 + -3357/4. What is the second smallest value in -4, j, 0.01? j Let y = 26.825 - 26.8. Which is the biggest value? (a) y (b) 1 (c) 4 c Let w = 31/3 + -161/15. Let h = -2186 + 17487/8. What is the second smallest value in 4, w, h, -23? w Let i = 109.73 + -119.73. Which is the fourth smallest value? (a) i (b) 2 (c) -0.14 (d) -0.4 b Suppose 80*k = 34*k - 92. Which is the third smallest value? (a) k (b) -1 (c) -18/7 (d) 1/2 b Let d = -7.4 + 6.16. Let v = 1.76 - d. Which is the third smallest value? (a) 0.07 (b) v (c) 0.1 b Let o = -5269/50597 - 3/2663. What is the second smallest value in 7.2, o, 0.5? 0.5 Let q(s) = -s**2 + 5*s + 20. Let y be q(7). Let k be (-42)/882 - (-2)/y. Let l = -1 + 1. What is the biggest value in -2/19, l, k? k Let z = 566 + -476. Let p be (-3)/(z/12 - 7). Which is the second smallest value? (a) 0.5 (b) p (c) 0.04 c Let u = -2248.3 - -2248. Which is the biggest value? (a) u (b) -46 (c) -9 (d) -1/4 d Let o = 3.9496 - -0.0504. Let y = -74 - -84.8. Let d = y - 11. Which is the second smallest value? (a) -0.04 (b) o (c) d a Let w = -136 + 140. Suppose 9*t - 5 = w. Which is the third biggest value? (a) -3 (b) -4/7 (c) t a Let z = -0.5758 + -0.2242. What is the biggest value in z, -10, 0.07, -1? 0.07 Let h = -35038 - -35034. Let f = 1.6 - -0.4. Which is the biggest value? (a) f (b) h (c) 1.3 a Let w be 4/(-10) + ((-1032)/10)/2. Let o be -6*w/195*5/(-2). Let z be o/(-40)*(75/2)/(-5). Which is the second smallest value? (a) 2 (b) z (c) 7/2 a Let r = -1330 + 1272. What is the fourth smallest value in 0, r, 2/33, 1? 1 Let g = -0.42 + -0.08. Let h(s) = 3*s**3 - 65*s**2 - 20*s - 39. Let q be h(22). Which is the second biggest value? (a) q (b) g (c) 0.3 (d) -7 c Suppose 20 = 2*l - 5*u, 3*l + u = 3*u + 8. Let h = -545 - -368. Let k = h - -176.5. Which is the biggest value? (a) l (b) -3 (c) 2 (d) k c Let m = 18752 + -18760. Which is the second biggest value? (a) 0 (b) 3.3 (c) m a Suppose -2*p - d - 217 + 254 = 0, -33 = -3*p + 3*d. What is the second biggest value in -0.4, p, -1? -0.4 Let s = -460 + 473.8. Let o = s + -14.1. Which is the third smallest value? (a) o (b) 1 (c) 1/7 (d) -0.23 c Let m = -191.09 - -190. Let j = 1.39 + m. Which is the second biggest value? (a) 0.5 (b) j (c) -3 b Let s(j) = j**2 - 3*j + 2. Let i be s(3). Let n = 39383.2 + -39383. What is the second biggest value in n, -1, i, -3? n Let j = 2/79 + 152/237. Let i = -252.86305 - 0.03695. Let q = i + 253. Which is the smallest value? (a) -2 (b) q (c) 2 (d) j a Suppose -234 + 242 = -2*c. Let h = 50 + -49.5. What is the smallest value in 0.24, h, c? c Let f = 37.307 + 53.785. Let r = f + -91. Let u = r + -3.092. What is the smallest value in -0.01, u, 5? u Let q = -8.4611 + -0.5389. What is the smallest value in 0.24, q, 2/9? q Let l be 18/(-12)*(-714)/(-189) + 5. Which is the third smallest value? (a) -0.21 (b) 38/15 (c) l b Let b = 0.43 + -0.03. Suppose 4*o = -3*n - 29, -4*n = 3*o - 5*o + 2. Let f be (-2)/(-9) - 92/(-72). What is the second smallest value in n, f, 2/11, b? 2/11 Let p be (-4)/(0/1 + 2). Let i = -9.7 - -26.7. Let n = -17.1 + i. What is the second biggest value in p, -3, n? p Let q = -6.8 - 15.2. Let u = q + 21. Let h = -1.6 + 4.6. What is the second smallest value in u, h, 14? h Let r be 20/10*(0 + -1 + -2). Which is the third biggest value? (a) 1/12 (b) r (c) -15 c Let s be 4 - (14 + -102)/(-11). What is the third biggest value in -154, -0.04, 5, s? s Let f(v) = v - 3. Let b be f(7). Suppose 5*s + 28*s = 2*s - 62. Let x be 1 - (-2)/((-8)/10). What is the third smallest value in b, x, s? b Let g be ((-8)/(-6) - 1) + -1. Let j = 836 - 467. Let y = -369.3 + j. Which is the third biggest value? (a) 3/2 (b) -2 (c) y (d) g d Let t(o) = -66*o**2 - 2*o - 1. Let b be t(-1). Let z = b + 97. Suppose 6*x + 2 = z. What is the third smallest value in -2/7, 0.4, x, -0.3? 0.4 Let k(w) = -1080*w - 5405. Let v be k(-5). What is the fourth biggest value in v, 0, -755, 4? -755 Let w = 0.33951 - 5.33951. Let s = -15 + 227/15. Let p = 0.1 + 0.1. Which is the third biggest value? (a) w (b) s (c) 3 (d) p b Let f = -0.085 - -11.085. Let k = -13 + f. Let o = -551/5 + 109. Which is the fourth smallest value? (a) 5 (b) k (c) -0.5 (d) o a Let g = -0.15 + 0.09. Let u = 0.34 - 0.84. Let s(w) = 32*w + 258. Let i be s(-8). What is the third biggest value in i, u, g? u Let m = 46 - 228/5. Suppose 0 = -4*z, -3*z + 35 = 10*f - 15*f. Which is the fourth biggest value? (a) m (b) 3 (c) -1.2 (d) f d Let d = 0.303 - 0.003. Let b be (-14)/21*5/5. What is the second smallest value in d, 2/5, 3, b? d Let x = 0.12645 - 0.06945. What is the second smallest value in 1, 1/4, -5, -1/3, x? -1/3 Let l = 98 - 490. Let k = l + 391.8. Let g = 3 - 0. What is the second smallest value in g, k, -0.1, 6? -0.1 Let i = -404.3 + 398.3. What is the second biggest value in 8/9, 1, -1/4, i? 8/9 Let f be 896/144*(-2 + -56). Let x = f - -361. Which is the second biggest value? (a) -5 (b) -2 (c) x (d) 0.1 d Let f = 57/20 + -13/5. Suppose 2*m + 5 = 3*m. Let i = -1282 + 1281. Which is the biggest value? (a) f (b) m (c) i b Suppose 0 = 5*c + 2*h - 16, -c - 13*h = -12*h - 2. What is the third smallest value in 12/35, c, -5, 1? 1 Let y = 14441 + -14438. Which is the fourth smallest value? (a) y (b) -0.081 (c) -4 (d) 0 (e) 5 a Suppose 0*c = -c + 5*n - 61, -5*n = 2*c + 62. Let r = c - -77. Let l = r - 40. What is the third smallest value in l, 0.2, -1? 0.2 Suppose -15 = -26*i - 41. Which is the fourth smallest value? (a) 3 (b) -0.1 (c) 0.2 (d) 5 (e) i a Let v = -2197/2827 + 153/257. What is the biggest value in v, -9/68, -0.1? -0.1 Let g = 0.241 - 0.141. Let k = 0.12 + -3.9. Let s = k - 0.22. Which is the second biggest value? (a) 38 (b) g (c) s b Let f = -2630 - -2635. Let v = -0.012 + 1.052. Let u = v + -0.04. What is the third biggest value in u, -1, f? -1 Let m = -0.4754 + -0.5246. What is the second biggest value in -3/5, 0.4, 4, m? 0.4 Let w be ((-1)/(-11))/((-3)/6). Let k = 765 + -645. Let t = 119 - k. What is the smallest value in w, -0.5, 2/5, t? t Suppose 6*d + 4934 = 536. Let h = 2933/4 + d. Let u = -2 + 3. What is the second biggest value in h, -1/6, 4/7, u? 4/7 Let l = -3297 - -3292. Which is the third biggest value? (a) -2/19 (b) l (c) -1/5 (d) 2 c Let a = -57721/65 - -888. Let v = -71160 + 71165. What is the biggest value in -2, a, v? v Suppose -12*w + 26 = 7*w + 7. What is the biggest value in w, -42, -5? w Let t = 88084 - 88088. Suppose 2*i - 3*r = -20, 4*r = i - 3*i - 20. Let l be ((-2)/i)/((-18)/(-15)). Which is the third biggest value? (a) l (b) 0.2 (c) t c Suppose -5*n = -2*n - a - 45, 33 = 3*n - 5*a. Let l = -3627 + 3623. What is the second biggest value in l, -0.5, n, -0.3? -0.3 Let v = 159 - 158.654. Let g = v - 0.546. Let k = 0.9 + 4.1. Which is the biggest value? (a) 4 (b) k (c) 0.1 (d) g b Let u be 175/(-21) + 39/9 + -5. Let r(n) = -3*n**2 - 29*n - 21. Let w be r(u). Which is the second smallest value? (a) -2 (b) -0.2 (c) w (d) 0.4 a Let h = 61/438 + 2/73. Let s be -10 + (-49794)/(-5112) - 1/(-4). Which is the third smallest value? (a) 4 (b) -2/11 (c) h (d) s c Let o = -3.5519 - -3.5319. What is the bi
{ "pile_set_name": "DM Mathematics" }
ind the third derivative of 653*b**3*o*z**3 - b**3*o*z - b**3*z**4 - b**2*o*z**2 - 11*b*z**2 wrt z. 3918*b**3*o - 24*b**3*z Find the third derivative of 5*i**4 - 358*i**3 + 9*i**2 + 415 wrt i. 120*i - 2148 What is the third derivative of -56*p**6 - 57*p**2? -6720*p**3 What is the derivative of 3*l*p**2*u + 179*l*u + 68*l + 7*p**2 - 2*u wrt u? 3*l*p**2 + 179*l - 2 What is the third derivative of -3*p**3*r*x - 2*p**3*x - 3*p**3 + 15*p**2*x + 6*p*r*x wrt p? -18*r*x - 12*x - 18 Find the second derivative of 116*c**2*u**2 - c**2 - 1030*c*u - 3*u**4 wrt u. 232*c**2 - 36*u**2 What is the first derivative of -j**3*k*x**2 - 296*j**3*k + 5*j**3*x - 9*j*x**2 + 2*j wrt k? -j**3*x**2 - 296*j**3 Differentiate -2*c**2*i**2 + c**2*i + 6250*c**2 - 3*i**3 + 52*i wrt i. -4*c**2*i + c**2 - 9*i**2 + 52 Find the first derivative of 12*g**2 - 49*g - 7995 wrt g. 24*g - 49 What is the third derivative of g*h**3 - 8*g*h**2 + g - 21*h**6 + h**4 + 7*h**3 + 38 wrt h? 6*g - 2520*h**3 + 24*h + 42 What is the third derivative of -2*v**4 - 1567*v**3 - 35*v**2 - 9 wrt v? -48*v - 9402 What is the third derivative of 21*x**3 + 8*x**2? 126 Differentiate 54*a**2*s*t**2 - 2*a**2*t**2 - 94*a**2*t + 3*a*s**2 + 6*a - 3*s*t**2 with respect to s. 54*a**2*t**2 + 6*a*s - 3*t**2 Differentiate -1431*l*m + 2*l*r**3 + l*r + 2*m*r**3 + 791*m*r + 2*r**3 wrt l. -1431*m + 2*r**3 + r What is the derivative of -263*f*n**2*r + f*r - 152*f + n**2*r - 5*n**2 + r wrt n? -526*f*n*r + 2*n*r - 10*n Find the second derivative of -56*m**2*q + 91*m**2 - m + 103*q - 14 wrt m. -112*q + 182 What is the third derivative of -6951*p**5 + 1856*p**2 wrt p? -417060*p**2 What is the second derivative of -72*l**2*t**4 + 5*l**2*t + 5*l*t**2 - 386*l wrt t? -864*l**2*t**2 + 10*l What is the second derivative of -56*v**3 + 6*v**2 - 17*v + 25? -336*v + 12 What is the second derivative of -2*u**3 + 2*u**2 - 153*u wrt u? -12*u + 4 Find the third derivative of 1618*t**3 + 3170*t**2. 9708 Find the third derivative of 2*a**4 + 18*a**3 - 124*a**2. 48*a + 108 What is the second derivative of -28*s**3 + 3*s - 34 wrt s? -168*s Find the third derivative of 74*g*h**5 - 8*g*h**4 - 757*g*h**2 - g*h wrt h. 4440*g*h**2 - 192*g*h Find the second derivative of 1794*w**3 - w + 635. 10764*w Find the first derivative of 5*r*t + 3*r + t**2 - 2*t - 4 wrt t. 5*r + 2*t - 2 Find the second derivative of -339*d**2 + 263*d wrt d. -678 Find the second derivative of -4*m**5*x - 6*m**3*x - m*x + 7*m wrt m. -80*m**3*x - 36*m*x Find the second derivative of -78*i**3 + 3*i**2 + 3*i + 123 wrt i. -468*i + 6 Find the third derivative of 89*j*t**5*w**2 - 4*j*t**4*w**3 - 4*j*t**2*w**2 - 2*j*t - 2*j - 5*t*w**3 wrt t. 5340*j*t**2*w**2 - 96*j*t*w**3 Find the third derivative of -x**4 - 19*x**3 + 171*x**2 wrt x. -24*x - 114 What is the second derivative of 266*f**2 + 389*f wrt f? 532 Differentiate 3*t*u*y - 22*t*u - t*y - 2*t + 2*u*y wrt y. 3*t*u - t + 2*u What is the third derivative of -c**4 - 18*c**3*h**2 - 2*c**2 + 126*c*h**2 wrt c? -24*c - 108*h**2 Find the third derivative of m**2*r*t**3 + m**2*r*t**2 + 3*m**2*r*t - 2*m**2*t**2 - m*r*t**2 + 22*r*t**3 wrt t. 6*m**2*r + 132*r Find the second derivative of -6*b**5*z + 6*b**4*z + b**2*z - 111*b*z + 2*b wrt b. -120*b**3*z + 72*b**2*z + 2*z What is the derivative of 78*w**4 - w**3 + 192 wrt w? 312*w**3 - 3*w**2 What is the third derivative of -3451*w**4 + 19*w**2 + 174*w? -82824*w What is the third derivative of 122*j**5*n**2 - j**5 - 10*j**2*n**2 + 8*j*n**2 wrt j? 7320*j**2*n**2 - 60*j**2 What is the derivative of 1438*m**3 + m**2 - 3594 wrt m? 4314*m**2 + 2*m Differentiate -27972*t**2 + 17340. -55944*t What is the third derivative of a*c**3*f*q - 2*a*c**2*f*q + 2*a*c**2 - 2*a*c*f + 28*a*f*q + 7*c**3*f + 22*c**3*q - c**3 + f*q wrt c? 6*a*f*q + 42*f + 132*q - 6 Find the second derivative of 450*s**2*t - 3*s**2 - 85*s*t + 7*s + t wrt s. 900*t - 6 Find the third derivative of 56*b**4*u**2 + b**2 + 2*b*u**2 - 3*b*u - 3*u**2 wrt b. 1344*b*u**2 Find the second derivative of 5*i**3 - 427*i**2 - 8068*i. 30*i - 854 What is the derivative of -5*p**2*t - p**2 - 12*p*t - 50 wrt t? -5*p**2 - 12*p What is the second derivative of -2*o**3*s**2 - 76*o**2*s**3 - 2*o**2*s + 5*o*s**3 + 131*o*s**2 wrt o? -12*o*s**2 - 152*s**3 - 4*s Find the second derivative of -17660*q**4 - 51*q - 1. -211920*q**2 Find the third derivative of 8*j**2*o*y**3 - 22*j**2*s**3*y**3 - 9*j**2*s**2*y**2 - j**2*s**2 + 138*o*s**3*y**2 + 6*o*y**3 wrt s. -132*j**2*y**3 + 828*o*y**2 What is the derivative of 8*q**3 + 58 wrt q? 24*q**2 Find the third derivative of k**2*o**3*u**4 + 3*k**2*o**3 + 2*k**2*o**2*u - k**2*o**2 + 17*k*u**4 + u**2 wrt u. 24*k**2*o**3*u + 408*k*u What is the third derivative of -20*p**6 - 7*p**5 + p**2 + 24*p wrt p? -2400*p**3 - 420*p**2 Find the third derivative of 2*a*c**3*t**3 + a*c**3 - a*c**2*t**3 - 12*a - 53*c**2 wrt c. 12*a*t**3 + 6*a Find the second derivative of -457*c**2*m**2 - 2*c*m + 62*m**2 wrt c. -914*m**2 Find the third derivative of -8116*w**3 + 112*w**2 - 2*w - 40. -48696 Find the first derivative of -4*c**2*v - 18*c**2 + 2*c - 838*v wrt c. -8*c*v - 36*c + 2 Find the first derivative of -5*c**2*s**3 - c**2 + 87*c + 189*s**4 - 4 wrt s. -15*c**2*s**2 + 756*s**3 Find the third derivative of -2982*c**3*i**2 + 387*c**2*i - 2*c**2 - c*i - 4*i**2 wrt c. -17892*i**2 Find the second derivative of 355*l**2*u**3 + 2*l**2*u + 3*l*u**3 + 20*l*u**2 wrt l. 710*u**3 + 4*u What is the third derivative of -157*z**4 + 2*z**2 + 78 wrt z? -3768*z Find the third derivative of -13*k**2*w**4 - 275*k**2*w**2 - 12*k*w**4 wrt w. -312*k**2*w - 288*k*w Find the second derivative of 24138*q**2 - 950*q - 4 wrt q. 48276 What is the derivative of 2*r**3*u - 18*r**3 - 1557*r**2*u - 12*r**2 wrt u? 2*r**3 - 1557*r**2 What is the third derivative of 154*o**3 + 512*o**2? 924 What is the second derivative of -w**5 + 2778*w**3 + 284*w - 20 wrt w? -20*w**3 + 16668*w Find the third derivative of 91*a*m**4 + a*m**3 + 2*a*m**2 - 3*m**4 - 113*m**2 + 14*m wrt m. 2184*a*m + 6*a - 72*m What is the first derivative of -11*t**2 - 9*t - 15954? -22*t - 9 Find the second derivative of -40*k**2*n**2 + 88*k**2*n - 3*k*n**3 - 6*k*n wrt n. -80*k**2 - 18*k*n Differentiate 959*g**3 + 2*g**2 - 7083 wrt g. 2877*g**2 + 4*g Find the third derivative of 8*y**4 - 20*y**3 - y**2 + 91*y wrt y. 192*y - 120 Find the first derivative of -47*r**3*v + 2*r**2*v**3 + 201*v**3 wrt r. -141*r**2*v + 4*r*v**3 Differentiate -36*a**4 + 106 wrt a. -144*a**3 What is the third derivative of -12*g**3*w**3 + g**2*w**3 - 22*g**2 wrt g? -72*w**3 What is the third derivative of 443*g*s**3 - 2*g*s**2 + g*s + 9707*s wrt s? 2658*g What is the third derivative of -449*x**3 + 119*x**2 - 3 wrt x? -2694 What is the second derivative of 2*a**3*g**2 + 869*a**3 - 609*a**2*g**5 + a**2*g wrt g? 4*a**3 - 12180*a**2*g**3 What is the third derivative of 1899*g**4*t**2 + 3*g**4*t - 17*g**2*t**2 - 82*g**2*t wrt g? 45576*g*t**2 + 72*g*t What is the third derivative of -204*d**4 + d**2 + 80 wrt d? -4896*d Find the second derivative of -73*q**2 + 64*q wrt q. -146 Find the first derivative of i**2*y - 2247*i**2 - 320*i*y**3 + 8*x*y**3 + 3*x wrt y. i**2 - 960*i*y**2 + 24*x*y**2 What is the first derivative of r**2 - 137*r - 104? 2*r - 137 Find the first derivative of -3*b**3*h + 217*b**3 + 103*b**2*h - 2*b**2 wrt h. -3*b**3 + 103*b**2 Find the third derivative of 12*q**4 + q**3 + 9*q**2 + 44 wrt q. 288*q + 6 What is the second derivative of 2*j**2*u**4 - 6*j**2 - 5*j*u**5 + 7*j*u + 6 wrt u? 24*j**2*u**2 - 100*j*u**3 What is the third derivative of b**6*j - b**3*j + 22*b**2 - 12*b*j wrt b? 120*b**3*j - 6*j What is the derivative of 219*v**2 - v + 68? 438*v - 1 What is the second derivative of 7*k**5 + 145*k**4 - 2*k**3 + 5090*k wrt k? 140*k**3 + 1740*k**2 - 12*k Find the second derivative of -c**5*i - 4*c**5 + c**3*i - c*i - c - 3*i wrt c. -20*c**3*i - 80*c**3 + 6*c*i What is the third derivative of -2*p**3*u**3 + 2*p**3*u - 9*p - 214*u**3 - 5*u**2 wrt u? -12*p**3 - 1284 What is the second derivative of 385*w**2 + 233*w? 770 Find the third derivative of 38*n*o**3*r**3 + 6*n*o**3*r + n*r**3 - 97*n*r**2 - 7*r**3 wrt r. 228*n*o**3 + 6*n - 42 Find the third derivative of -257*z**6 - 23*z**2 - 3*z. -30840*z**3 What is the second deri
{ "pile_set_name": "DM Mathematics" }
e 4*w - 1688 + 426 = z, 4*w - 2*z = 1260. Let a = w + -311. Solve -g - a = 3*s - 0*s, -s = -g + 3 for s. -2 Let o be 1 + -1*(0 + 1). Let n be 4/16*(-96)/216*-45. Solve -2*a + 2 = n*d - 1, 3*a - 5*d - 17 = o for a. 4 Let m = -18 - -24. Let o = 215 + 51. Let l = -263 + o. Solve 2*w - m = g - 2*g, 5*w = 2*g - l for g. 4 Let a = 159 + -144. Suppose -209*p = -212*p + a. Solve 0 = 5*u + t - 2*t + 10, -p*t = 25 for u. -3 Suppose -280*l = -263*l - 68. Let b(v) = -v**2. Let j be b(-2). Let i = -3 - j. Solve 28 = -l*h - 4*x, 8 = -3*x - i for h. -4 Suppose -14424 = -28*q - 14172. Solve -5*s - 10 = 5*v, s - v = 1 - q for s. -5 Let u = 1 + -1. Suppose 0 = -3*v + 12, 3*r - 2*v - v = 0. Suppose -338*x + 6 = -336*x. Solve -2*z + x*z + 2*l = u, 4*z - 24 = r*l for z. 4 Let l be ((-3)/18*3)/(4/(-24)). Suppose 0*p + 3*u + 23 = p, 19 = p - u. Let g = -17 + p. Solve -l*r = -g*r + 15, c = 2*r + 7 for c. -3 Let p = -33 - -35. Suppose -2*h = p, -4*h - 44 = -0*r - r. Let c = r - 37. Solve f - 3*s + 0 - 1 = 0, -4*s + 16 = c*f for f. 4 Let z(u) = u**2 + 7*u + 2. Let o be z(-7). Suppose 1 = -4*l + i, 0 = -3*l + o*i - 0 + 3. Let g be 38/57*(2 - l). Solve 2*y - 2 = 2*x, y + g*x = x - 1 for y. 0 Suppose 4*i - i = -5*a + 92, 0 = -a - 4*i + 32. Suppose -l - s = -5*l + 9, -5*l - 3*s = -24. Solve -4*x - o - l = 0, -o = -3*x + o - a for x. -2 Suppose 0*m - 4*m - 232 = -2*c, c = -3*m - 179. Let g = m - -72. Suppose 8*o - g = 11. Solve -3*z - 31 = -x + 6*x, -19 = o*x + 2*z for x. -5 Let b be (-1974)/56 + -2 + (-27)/(-12). Let j = -32 - b. Solve 2*v + x - j = 0, -5*x = -2*v - 0 + 9 for v. 2 Suppose 5*d - 3*n - 151 = -7*n, n + 63 = 2*d. Solve -4*h = 4*p, -30*h = -4*p - d*h - 9 for p. -3 Let f = 78 - 241. Let q = 251 + f. Suppose -86*v - 34 = -q*v. Solve 4*b + 7 = 4*n - 9*n, -3*n = -4*b + v for b. 2 Let z(q) = -273*q + 823. Let u be z(3). Solve b + 1 = a - 0*a, -u*a = -12 for b. 2 Suppose 5*n - 147 + 43 = -4*h, 0 = n - 2*h - 18. Suppose 2*y = -y + 21. Solve -4*w - n = 5*m, -16 = 4*m + 4*w - y*w for m. -4 Let a(v) = -v**2 + v + 19. Let z be a(-3). Suppose 6*n - 403 = -z*n. Suppose -x + 5*i = 0, 1 = x + 3*i - 7. Solve 4*k - n = x*r, -r - 5 = k + 2*r for k. 4 Suppose -5*z - 182*h = -181*h - 19, 5*h - 20 = 0. Solve -z*a = 3*c, -2*a + 4*c = a - 28 for a. 4 Suppose -11*l = -10*l - 22. Let b = l - 17. Solve 9 = v - 2*z, -v = -b*v - 2*z + 6 for v. 3 Suppose 5*f - 20*m - 50 = -15*m, -3*f - 12 = 3*m. Solve -2*k + 3*o + 7 = 0, f*k + 19 = -k - 5*o for k. -1 Let b = -152 + 166. Suppose b*s = 15*s - 4. Solve -7 = s*n + q + 2*q, -5*q = -3*n + 2 for n. -1 Let k(o) = -o**2 + o + 1. Let q(y) = -y**2 - 21*y + 30. Let c(p) = -3*k(p) + q(p). Let g be c(11). Let f = -64 + 68. Solve 2*h + i - f = -3, -i - g = 0 for h. 3 Let g(h) = -3*h**2 - 24*h - 25. Let m be g(-6). Suppose -26 = -m*o + 18. Let z be ((-14)/4 + 1)*-2. Solve -4*k = -20, o*w + 27 - 6 = z*k for w. 1 Let t be (-2 + 60/25)*(-565)/(-1). Suppose 5*p + 2*a = t + 258, -2*a - 380 = -4*p. Let d be p/(-36)*(-6)/4. Solve 15 = 5*i + 3*y + 1, 0 = -2*i - d*y for i. 4 Let k(q) = -103 + 0*q + 2*q + 8*q + 11*q - 11*q. Let o be k(12). Solve y - 12 = -4*z - 1, -5*y - z = -o for y. 3 Let b(w) = 7*w + 19. Let a be b(-5). Let o be -8 + a + (0 - 1) + 2. Let i = 28 + o. Solve -4*t + 3*u - 6 = -i*t, 3*u + 6 = 3*t for t. 3 Let u(i) = -i - 19. Let k be u(-22). Suppose 11 = 2*d - s, s + 24 = k*d - 3*s. Solve 0*n = -2*t - 3*n + d, 16 = 4*n for t. -4 Suppose 47*a + 119 = 54*a. Suppose 28 = -3*i + a*i. Solve 5*g = i*b + 2 - 27, 0 = -5*b + 4*g + 37 for b. 5 Suppose 5*r - 3*r + 4 = 0. Suppose 33*k + 58 = -2*o + 41*k, -4*o - 2*k = -10. Let t be (r - (o - 2))*2. Solve -a + t*s = -1, -3*a + 1 = 3*s - 20 for a. 5 Let d be (-1 + -19)*190/(-1900). Solve -5*m + d*u = 21, -2 = -3*m + 5*u - 7 for m. -5 Suppose -4*f + 3*c + 63 = 0, c + 30 = 2*f - 1. Suppose f*d = -24 + 99. Solve 5*l + a = -5, 3*l - a + 2*a = -d for l. 0 Suppose 4*w + 2*p + 390 = 450, -32 = -2*w - 2*p. Solve -z - 3*z + w = 2*g, -3*g + z = 0 for g. 1 Suppose 26 = 23*y + 14*y - 48. Solve 5*m - 18 = 2*c, m - c = y*c + 14 for m. 2 Let o(s) = 28*s**2 - s + 41. Let f(c) = -13*c**2 + c - 20. Let y(r) = -13*f(r) - 6*o(r). Let z be y(4). Solve 2*t = -4*j, 3*j - 8 = -z*t + 7*j for t. 2 Let m(y) = -7*y**3 - 885*y**2 - 380*y - 219. Let a be m(-126). Solve 5*n + 5*w - 35 = 0, -3*w = -5*n - 7*w + a for n. 5 Suppose 65*g = 126*g - 71*g + 30. Solve -i + 5*l = 6*l + 6, 2*l + 13 = -g*i for i. -1 Let l = 3 - -16. Let b = l + -4. Let x = b - 8. Solve 3*c + 2 = 2*f + c, -3*f + c - x = 0 for f. -4 Suppose -70 = 35*n - 40*n - 11*z, -7 = -4*n + z. Solve -u + 20 = -h + 18, -3*h - n*u + 24 = 0 for h. 3 Let u(b) = -25*b + 103. Let r be u(4). Let j be (3/1)/(3/(-9)*-3). Solve 0 = -r*k - j*w + 21, w = 3*k + 4 - 17 for k. 5 Suppose 20 = 10*p - 7*p - 2*u, -5*p + u + 17 = 0. Solve 25*l + 5*a + 12 = 26*l, p*a = 3*l - 10 for l. 2 Let f = 101 - 82. Let j be 4 + (f + 1)/5. Suppose 0 = -j*p + 9*p - 4. Solve -p = 5*l + 6, 2*u + 10 = -4*l for u. -1 Let u be 1/4 + 105/(-20). Let q be 10/(-25)*u - 102. Let x = -98 - q. Solve -x*b + k = -13 + 2, 2*b = 4*k + 14 for b. 5 Suppose j + 2*k = -31 + 54, 0 = -9*j + 5*k + 345. Solve -9 = -4*u + 3*f, -14*f = -5*u - 15*f + j for u. 6 Let p(t) = t**2 - 23*t + 82. Let j be p(3). Solve 0 = 5*l + 5*m - 6*m - j, 5*l - 10 = -5*m for l. 4 Let d be (-275900)/(-1500) - 1/(-15). Let q = 217 - d. Solve 3*w + 21 = 3*t, 5*t + 10 - q = w for w. -3 Let y(o) = 657*o - 3280. Let g be y(5). Solve 114*u = 111*u + g*q + 16, -5*u + 3*q = 0 for u. -3 Suppose 4*u + 12 = 7*u, -2*b = -4*u + 6. Suppose b*r - 16 = 4*r. Suppose 7*h = 47 + r. Solve 10 = -5*i - h*a + 4*a, i - 6 = a for i. 2 Let n be 258/15 - 24/(-30). Suppose -11*l = -14*l + n. Solve -2*w - 5*f = 13, -2*f = w - 0*w + l for w. -4 Suppose 0 = 3*z + 2678 - 2726. Solve 2*t + 6 = -5*b + z, b - 25 = -5*t for t. 5 Let q be (-1)/((-5)/(-5))*0. Let p(k) = -2*k**3 - 94*k**2 + 96*k + 3. Let g be p(-48). Solve 4*a + 8 = -3*w, g*a = -q*a - w - 6 for a. -2 Let n(t) = -t**3 - 56*t**2 + 48*t - 507. Let h be n(-57). Let b be 1/1*(-1 + 6). Solve -r = b*c, 4*c - 5*c + r = h for c. -1 Let x be 1*(0 + -1)*-1. Let w(g) = g**3 - 4*g**2 + 5*g - 4. Let v be w(3). Let m = v + 1. Solve 0 = t + o + 1, 0 = t - 2*t - m*o + x for t. -2 Suppose 455*g - 456*g - 449 = 0. Let l = g + 455. Solve -4*y - 3*b = -24, -l = -5*y + b + 5 for y. 3 Let k(b) = -64*b - 640. Let r be k(-10). Solve r = -3*o + 3*g, o + 3*g - 5*g = 4 for o. -4 Let g(x) = -x**2 - 12*x + 33. Let r be g(-11). Let j be (-5 + (-285)/(-55))/(4/r). Solve -3*c + i = j*c - 28, 21 = 3*c - 2*i for c. 5 Let y(a) = -a**3 - 15*a**2 - 34*a + 25. Let x(u) = 4*u**2 - 23*u - 18. Let q be x(6). Let f be y(q). Solve 3 = -c + 2*g + 2, 3*g + f = c for c. -5 Suppose 2*o + 2*a = 142, 444*a - 448*a = o - 65. Solve -9 = 4*y + 5*g, 3*g - o = 4*y - 104 for y. 4 Let x be (-260)/(-84) + (-4)/42. Let w be 4 + -90*(x - (-50)/(-15)). Let s be (-2)/(-4) - (-44)/8. Solve -2*g - 35 = -s*g - 5*h, -3*h + w = 5*g for g. 5 Let g(z) = -z**3 - 10*z**2 - 22*z - 43. Let d be g(-8). Solve 11 = -d*j - 2*x, 4*x - 7*x = -6 for j. -3 Let w = -4385 - -4385. Solve -o - 2*p + 8 = w, -60 = -o - 3*p - 48 for o. 0 Suppose -6*k - 9 - 27 = 0. Let r be 135/1*6/k. Let b = r + 138. Solve b*y = -6, -2*y - y - 26 = 4*q for q. -5 Let s = -78 - -91. Let d = s - 12. Solve -2*u = 4*z - 4, -z = -2*z - u + d for z. 1 Suppose -4*y - 18 = -14, 0 = i - 3*y + 53. Let r = i + 62. Solve -2*f - r = 0, -j - 3*f - 19 = -8 for j. -2 Let b(l) = 35*l**2 + l + 8. Let t be b(0). Solve 4 = -7*v + 4*v - 2*c, -v - 3*c + t = 0 for v. -4 Let u be 2482/22 - (-8)/44. Suppose -4*n + 121 = -5*d, -3*d + u = 4*n - 0*d. Let g be (55/10 - 4)*6. Solve -4*l + 16 = 5*r, 2*r - g + n = 5*l for l. 4 Let z = -3929 - -3929. Solve -4*f - 12 = -4*h - 2*f, z = 4*h + 5*f + 16 for h. 1 Let s be 4/6*(-13 + (-3 - -19)) - -70. Solve 2*c + 16 = -4*j, -5*c = -52 + s for j. -2 Let p(z) = -3*z**2 + 277*z - 1632. Let m be p(86). Solve -j + 5 = r, m*r + 38 = 2*j + 40 for r. 3 Suppose -3*o + 5*k = -11, 45*k - 39 = -5*o + 43*k. Solve 0 = -o*i + 8*i - d, -5*i = -d + 16 for i. -4 Suppose 35 + 15 = 5*c. Suppose -5*h + c + 10 = 0. Let w = 579 + -574. Solve w*d = -h*p - 27, 0*d + p = d for d. -3 Suppose -26*k + 99 + 54 = 25*k. Solve -k*y + 4*r - 20 = 0, r - 2 = 2*y +
{ "pile_set_name": "DM Mathematics" }
tes are there between 2:36 PM and 3:17 PM? 41 How many minutes are there between 6:23 PM and 3:53 AM? 570 What is 39 minutes before 5:06 PM? 4:27 PM What is 126 minutes before 3:13 PM? 1:07 PM What is 324 minutes after 10:32 AM? 3:56 PM How many minutes are there between 12:12 PM and 9:57 PM? 585 How many minutes are there between 2:12 PM and 8:37 PM? 385 How many minutes are there between 9:10 AM and 3:49 PM? 399 What is 560 minutes after 5:11 AM? 2:31 PM What is 185 minutes after 10:13 PM? 1:18 AM What is 525 minutes before 2:57 AM? 6:12 PM How many minutes are there between 3:13 PM and 2:16 AM? 663 What is 472 minutes after 4:05 PM? 11:57 PM What is 485 minutes before 7:52 AM? 11:47 PM What is 207 minutes before 5:12 PM? 1:45 PM How many minutes are there between 8:39 PM and 1:31 AM? 292 How many minutes are there between 7:16 AM and 9:07 AM? 111 What is 156 minutes after 5:06 AM? 7:42 AM What is 573 minutes after 9:50 PM? 7:23 AM How many minutes are there between 7:31 AM and 5:48 PM? 617 How many minutes are there between 9:06 AM and 4:14 PM? 428 How many minutes are there between 8:14 AM and 4:37 PM? 503 What is 137 minutes before 10:01 AM? 7:44 AM How many minutes are there between 11:06 AM and 6:58 PM? 472 How many minutes are there between 3:59 AM and 7:59 AM? 240 How many minutes are there between 8:05 PM and 9:52 PM? 107 How many minutes are there between 1:52 PM and 12:16 AM? 624 What is 687 minutes before 6:19 AM? 6:52 PM How many minutes are there between 11:14 AM and 8:52 PM? 578 What is 408 minutes before 6:12 PM? 11:24 AM How many minutes are there between 7:30 AM and 5:53 PM? 623 What is 173 minutes after 6:53 PM? 9:46 PM What is 90 minutes after 9:19 AM? 10:49 AM How many minutes are there between 1:47 AM and 8:15 AM? 388 What is 111 minutes before 9:01 AM? 7:10 AM How many minutes are there between 8:44 PM and 1:09 AM? 265 How many minutes are there between 4:25 AM and 12:36 PM? 491 How many minutes are there between 1:33 PM and 1:53 PM? 20 How many minutes are there between 9:56 PM and 5:58 AM? 482 How many minutes are there between 6:39 AM and 6:43 AM? 4 How many minutes are there between 9:31 PM and 11:26 PM? 115 What is 463 minutes before 10:43 PM? 3:00 PM How many minutes are there between 5:53 AM and 7:24 AM? 91 What is 589 minutes after 3:58 PM? 1:47 AM What is 501 minutes after 8:54 PM? 5:15 AM What is 111 minutes before 8:07 AM? 6:16 AM What is 680 minutes before 8:04 PM? 8:44 AM What is 293 minutes before 10:16 AM? 5:23 AM How many minutes are there between 8:26 AM and 7:42 PM? 676 How many minutes are there between 9:08 AM and 8:53 PM? 705 How many minutes are there between 5:45 PM and 2:48 AM? 543 How many minutes are there between 4:29 PM and 5:13 PM? 44 What is 52 minutes after 10:09 PM? 11:01 PM How many minutes are there between 8:30 PM and 4:35 AM? 485 How many minutes are there between 6:49 AM and 2:39 PM? 470 How many minutes are there between 3:40 PM and 11:56 PM? 496 What is 595 minutes after 2:28 PM? 12:23 AM How many minutes are there between 6:54 AM and 10:37 AM? 223 How many minutes are there between 11:45 AM and 7:22 PM? 457 What is 11 minutes before 6:35 PM? 6:24 PM What is 315 minutes after 1:19 AM? 6:34 AM What is 132 minutes after 11:57 AM? 2:09 PM How many minutes are there between 9:07 PM and 3:07 AM? 360 What is 625 minutes after 8:27 AM? 6:52 PM How many minutes are there between 6:39 PM and 3:51 AM? 552 How many minutes are there between 6:38 PM and 5:09 AM? 631 How many minutes are there between 10:26 PM and 5:14 AM? 408 How many minutes are there between 9:42 AM and 6:58 PM? 556 How many minutes are there between 7:26 AM and 5:07 PM? 581 How many minutes are there between 11:33 AM and 11:23 PM? 710 What is 186 minutes before 12:06 AM? 9:00 PM How many minutes are there between 10:53 PM and 6:36 AM? 463 What is 591 minutes after 3:48 AM? 1:39 PM How many minutes are there between 7:26 AM and 5:54 PM? 628 How many minutes are there between 8:25 AM and 6:36 PM? 611 How many minutes are there between 10:00 PM and 8:12 AM? 612 What is 195 minutes after 5:25 PM? 8:40 PM How many minutes are there between 11:38 AM and 10:45 PM? 667 What is 38 minutes before 10:30 AM? 9:52 AM What is 141 minutes before 12:26 PM? 10:05 AM What is 238 minutes after 1:35 AM? 5:33 AM What is 265 minutes before 8:35 PM? 4:10 PM How many minutes are there between 4:12 PM and 8:22 PM? 250 What is 597 minutes after 11:43 PM? 9:40 AM How many minutes are there between 11:25 AM and 6:26 PM? 421 What is 687 minutes before 3:32 PM? 4:05 AM How many minutes are there between 8:52 AM and 9:19 AM? 27 How many minutes are there between 10:29 AM and 9:47 PM? 678 How many minutes are there between 2:46 AM and 11:02 AM? 496 How many minutes are there between 10:26 AM and 8:36 PM? 610 What is 60 minutes before 11:25 PM? 10:25 PM What is 244 minutes after 1:35 AM? 5:39 AM What is 525 minutes after 7:18 AM? 4:03 PM How many minutes are there between 6:22 AM and 8:38 AM? 136 What is 44 minutes before 7:50 AM? 7:06 AM What is 457 minutes after 8:23 PM? 4:00 AM How many minutes are there between 9:10 PM and 11:16 PM? 126 What is 238 minutes before 12:43 PM? 8:45 AM How many minutes are there between 9:51 PM and 2:21 AM? 270 What is 9 minutes after 7:13 AM? 7:22 AM What is 677 minutes after 9:48 PM? 9:05 AM How many minutes are there between 2:20 PM and 2:26 PM? 6 How many minutes are there between 6:35 PM and 3:09 AM? 514 What is 405 minutes after 7:23 PM? 2:08 AM What is 505 minutes after 2:35 PM? 11:00 PM What is 681 minutes before 4:43 PM? 5:22 AM How many minutes are there between 10:32 AM and 6:53 PM? 501 What is 612 minutes before 9:55 AM? 11:43 PM What is 582 minutes before 1:41 AM? 3:59 PM How many minutes are there between 9:52 PM and 8:54 AM? 662 What is 617 minutes before 11:26 AM? 1:09 AM How many minutes are there between 10:08 PM and 5:34 AM? 446 What is 293 minutes after 9:21 PM? 2:14 AM What is 662 minutes before 11:19 AM? 12:17 AM How many minutes are there between 11:43 AM and 12:42 PM? 59 What is 115 minutes before 8:50 PM? 6:55 PM What is 97 minutes before 1:38 PM? 12:01 PM What is 251 minutes after 3:27 AM? 7:38 AM What is 39 minutes before 11:53 PM? 11:14 PM What is 344 minutes after 11:35 AM? 5:19 PM What is 353 minutes before 5:44 PM? 11:51 AM How many minutes are there between 9:27 PM and 9:39 PM? 12 What is 639 minutes before 6:00 PM? 7:21 AM What is 423 minutes after 12:07 AM? 7:10 AM How many minutes are there between 6:02 AM and 2:42 PM? 520 What is 236 minutes after 6:41 AM? 10:37 AM What is 148 minutes after 6:23 PM? 8:51 PM What is 170 minutes after 4:39 PM? 7:29 PM How many minutes are there between 7:57 PM and 8:24 PM? 27 What is 321 minutes after 3:10 AM? 8:31 AM How many minutes are there between 5:54 PM and 4:38 AM? 644 What is 323 minutes after 10:40 PM? 4:03 AM What is 539 minutes after 3:42 PM? 12:41 AM What is 246 minutes before 11:12 AM? 7:06 AM What is 663 minutes after 2:30 PM? 1:33 AM What is 564 minutes after 12:17 AM? 9:41 AM How many minutes are there between 12:48 PM and 12:17 AM? 689 What is 705 minutes after 7:19 PM? 7:04 AM What is 98 minutes before 8:43 PM? 7:05 PM What is 302 minutes after 1:34 AM? 6:36 AM What is 470 minutes after 2:26 AM? 10:16 AM What is 238 minutes before 10:15 PM? 6:17 PM What is 419 minutes after 8:25 AM? 3:24 PM How many minutes are there between 11:49 PM and 5:09 AM? 320 How many minutes are there between 9:37 AM and 4:38 PM? 421 What is 596 minutes before 7:14 PM? 9:18 AM What is 672 minutes after 7:35 AM? 6:47 PM What is 627 minutes after 5:25 PM? 3:52 AM What is 4 minutes after 12:09 PM? 12:13 PM What is 152 minutes before 9:46 PM? 7:14 PM What is 507 minutes before 11:32 AM? 3:05 AM How many minutes are there between 1:58 PM and 9:59 PM? 481 How many minutes are there between 9:14 PM and 2:03 AM? 289 How many minutes are there between 1:48 AM and 5:31 AM? 223 What is 585 minutes after 6:25 PM? 4:10 AM How many minutes are there between 1:27 PM and 11:50 PM? 623 What is 310 minutes before 2:31 AM? 9:21 PM What is 250 minutes before 10:39 PM? 6:29 PM What is 524 minutes before 8:58 PM? 12:14 PM How many minutes are there between 3:18 AM and 10:28 AM? 4
{ "pile_set_name": "DM Mathematics" }
of h*p**5 + 5*h*p**3 + 3*h*p - 99*h - 3*p**4 + 10*p**3 + 2*p**2 + 16*p wrt p? 60*h*p**2 + 30*h - 72*p + 60 What is the second derivative of 59082*v**4 + 3*v**3 + 510*v + 103? 708984*v**2 + 18*v Find the first derivative of -278870*z**2 - 190721. -557740*z What is the second derivative of -p**4*s + 2045*p**3*s**3 - 3*p*s**3 + 6*p*s**2 - 360*p*s + s**3 wrt p? -12*p**2*s + 12270*p*s**3 Find the second derivative of -13638*w**2 - 39376*w. -27276 Find the third derivative of -1139268*p**3 + 2*p**2 - 31734*p wrt p. -6835608 What is the first derivative of 4*g*r - 11609*g + 863*r - 12 wrt g? 4*r - 11609 Differentiate 202200*m - 26140 with respect to m. 202200 Find the second derivative of 233569*m**5 + 2*m + 133492. 4671380*m**3 What is the second derivative of 6*f**5 + 250401*f**4 + 296277*f? 120*f**3 + 3004812*f**2 Find the third derivative of -18168*p**5 - 2*p**4 + 4*p**3 - 2*p**2 - 89683 wrt p. -1090080*p**2 - 48*p + 24 Find the third derivative of -1625675*n**3 - 22*n**2 + 7762*n + 5 wrt n. -9754050 What is the first derivative of 51511*c**2 + 2*c + 20650 wrt c? 103022*c + 2 What is the third derivative of 5*f**5 + 28010*f**4 + 215189*f**2? 300*f**2 + 672240*f Find the second derivative of -24302*i**2*z**3 - 17*i*z**3 - 1363*i*z + 2*i wrt i. -48604*z**3 Find the third derivative of -1805*s**4 + 7*s**3 + 195*s**2 - 67 wrt s. -43320*s + 42 Find the first derivative of -660204*a**4*k**2 + a**4 - 287754*k**2 wrt a. -2640816*a**3*k**2 + 4*a**3 What is the third derivative of 29443*x**5 - 451780*x**2? 1766580*x**2 What is the third derivative of 45320*d**3*y**2 - 18360*d**2 - d*y**2 wrt d? 271920*y**2 What is the first derivative of -2*u**3 - 14531*u + 14213 wrt u? -6*u**2 - 14531 What is the third derivative of -1184*d**6 + 4*d**4*k - d**3*k**3 - 86*d**2*k - d*k**3 + 2*d*k**2 + 97 wrt d? -142080*d**3 + 96*d*k - 6*k**3 What is the first derivative of 469464*g**2*l + 3*g**2 + 40*g + 89 wrt l? 469464*g**2 Find the third derivative of -55*m**4 - 16*m**3 + 723*m**2 + 14*m - 2 wrt m. -1320*m - 96 What is the second derivative of -15*k**5 + 22*k**4 - 49*k**3 - 419816*k? -300*k**3 + 264*k**2 - 294*k Find the third derivative of 453*i*w**4 + 113*i*w**3 + 627*i + w**4 + 288*w**2 wrt w. 10872*i*w + 678*i + 24*w Find the third derivative of -51639*n**3 + 4*n**2 + 11149 wrt n. -309834 Find the second derivative of 10521*i**5 - 4*i**3*r + 4*i*r + 7*i + 375*r - 2 wrt i. 210420*i**3 - 24*i*r Find the third derivative of -831159*w**3 + 4*w**2 - 71650*w. -4986954 What is the third derivative of -3188*a**4 - 2226*a**2? -76512*a What is the second derivative of -8*q**5 - 26619*q**3 - 5*q + 27590? -160*q**3 - 159714*q Find the third derivative of 902*b*x*y**3 + b*x*y**2 - 4*b*x*y - 8*b*y**3 + 3*x*y**3 + 97*x*y**2 - 30*x*y wrt y. 5412*b*x - 48*b + 18*x Find the first derivative of 3*q**2 - 10647*q + 77014. 6*q - 10647 What is the third derivative of -70789*v**5 - 15*v**2 - 8*v - 9 wrt v? -4247340*v**2 Find the first derivative of 2*b**3*j*z + 4*b**3*j - b*j**3 - b*j**2 - 12285*j**3*z + 1136*j**2 wrt z. 2*b**3*j - 12285*j**3 What is the third derivative of 10*f**4 + 510*f**3 - 34731*f**2 wrt f? 240*f + 3060 What is the derivative of 13*g*h**3 + 1805*g*h - 2*g - 68480*h**3 wrt g? 13*h**3 + 1805*h - 2 Differentiate -g**4 - 13*g**3 - 136*g**2 + 2*g + 1648768 wrt g. -4*g**3 - 39*g**2 - 272*g + 2 Find the second derivative of -5*l**3*r*y**2 - 6129*l**3*r*y - 2*l**2*r*y**2 - l**2*r + l**2*y + 604*r*y**2 wrt y. -10*l**3*r - 4*l**2*r + 1208*r Find the second derivative of -8451*r**2 + 16121*r wrt r. -16902 Find the third derivative of d**3*t**3 - 433*d**3*t**2 + 564*d**3*t - 9*d**2*t - 95766*t**3 wrt d. 6*t**3 - 2598*t**2 + 3384*t Find the third derivative of -813584*r**3 + 171947*r**2 wrt r. -4881504 What is the second derivative of -379581*r**3 - 75384*r + 2 wrt r? -2277486*r Find the second derivative of 5275*i**2*u - 3*i**2 - i*u - 2*i + 8*u + 56 wrt i. 10550*u - 6 What is the third derivative of 18*o**5 - 258*o**3 + 4352*o**2 + 3*o wrt o? 1080*o**2 - 1548 Find the third derivative of -41247*o**3 - 496175*o**2. -247482 Find the third derivative of -37722*d**3 - 128*d**2 - 4*d - 12 wrt d. -226332 What is the second derivative of -4897735*b**4 - 112816*b wrt b? -58772820*b**2 Find the third derivative of -m**5 + 2452*m**4 - m**3 - 3*m**2 + m + 2805. -60*m**2 + 58848*m - 6 Find the third derivative of -45275*f**3*i**2*t - f**3*t**3 - 7*f**2 + 26*f*i**2*t**3 + 4*f*i**2 + 2*i**2 - t wrt f. -271650*i**2*t - 6*t**3 What is the second derivative of -846*w**3 + 18*w**2 + 53138*w? -5076*w + 36 What is the third derivative of 2*b**4*o**2 - 152995*b**3 + 780619*b**2*o**2 wrt b? 48*b*o**2 - 917970 Differentiate 1342370*r + 2716938 with respect to r. 1342370 Find the second derivative of 2*k**3*l**3 - 40*k**3*l + 2*k**2*l - k*l**2 - 3104*l**3 + 52*l - 2 wrt l. 12*k**3*l - 2*k - 18624*l Find the third derivative of 844889*h**3 - 179485*h**2 + 1 wrt h. 5069334 Find the second derivative of 140590*b**3 - 561271*b wrt b. 843540*b What is the second derivative of 209099*v**5 + 65*v + 570? 4181980*v**3 Find the third derivative of 358905*j**5 - 125*j**2 - 173*j. 21534300*j**2 What is the third derivative of -683992*x**3 - 3*x**2 + 87*x + 61? -4103952 What is the third derivative of 2187*b**2*d**5 + 3*b**2*d**3 + 585*b**2*d + b - 5*d**2 + 1 wrt d? 131220*b**2*d**2 + 18*b**2 Find the third derivative of g**6*m + 3*g**3*m - 49683*g**3 - 39*g**2 + 3*g*m - 47*m + 3 wrt g. 120*g**3*m + 18*m - 298098 What is the third derivative of 2030*f**2*k**3 - 185*f**2*k - f**2 + 18*f*k**3 - 34*f*k + f + k**2 wrt k? 12180*f**2 + 108*f What is the first derivative of -2*f**3 - 102046*f**2 - 283684 wrt f? -6*f**2 - 204092*f Find the second derivative of 322904*g**2*w**2 + 3*g**2*w - 182242*g*w**2 + 3*g*w wrt g. 645808*w**2 + 6*w What is the first derivative of -416910*w + 1470246? -416910 Find the second derivative of 35227*x**2 + x + 151477. 70454 Find the third derivative of 627710*i**3*u**3 - 181*i**3*u**2 - 111*i*u**2 + 9*i*u wrt u. 3766260*i**3 What is the third derivative of -14039*b**3 - 18186*b**2 + 1? -84234 What is the third derivative of -1452*n*z**4 - n*z**3 + 1558*n*z**2 + 2*n*z + 2*n - 2*z**4 - 2*z**3 - 2*z**2 + 15*z wrt z? -34848*n*z - 6*n - 48*z - 12 Find the first derivative of -37439*g**3 - 97988 wrt g. -112317*g**2 What is the second derivative of 21312*n**3 + 18*n**2 + 2436415*n? 127872*n + 36 What is the third derivative of 235049*n*w**3 - 11*n + 2*w**3 + 12236*w**2 wrt w? 1410294*n + 12 Find the first derivative of 3*i**3 - 4816*i - 124031 wrt i. 9*i**2 - 4816 What is the third derivative of -196893*z**3 + 2693*z**2 + 42*z? -1181358 Find the third derivative of -1537*i**3*q**2 + 25*i**3*q + i**2*q + 452*i**2 + 6*i*q**2 wrt i. -9222*q**2 + 150*q Find the second derivative of -353139*g*x**5 - 10*g*x + 235*g + 4*x - 1 wrt x. -7062780*g*x**3 Find the third derivative of -235147*k**5 - 742*k**2 - 2*k - 9 wrt k. -14108820*k**2 Differentiate -2*c**4 + 1660*c**3*j**2 - j**2 + j + 10981 wrt c. -8*c**3 + 4980*c**2*j**2 What is the second derivative of -a**4 - 37*a**3*d - 12*a**2*d*y + 4*a*d*y - 12*a*y - 202*d*y wrt a? -12*a**2 - 222*a*d - 24*d*y What is the second derivative of 3*a**3 - 131963*a**2*d**2 - 14*a*d**2 + 1794*a*d wrt a? 18*a - 263926*d**2 Find the third derivative of -25755*o**6*w - 8*o**5*w - 446*o**2 + 697*o*w wrt o. -3090600*o**3*w - 480*o**2*w Find the third derivative of -50674*n**3 - 134*n**2 - 38*n - 5. -304044 What is the second derivative of 429404*b*g*z**5 + 8*b*g*z + 2*b*g + 3*b*z - 168*b + 2*g*z**4 + 6*g*z wrt z? 8588080*b*g*z**3 + 24*g*z**2 What is the second derivative of -3333*w**5 - 5744*w + 1? -66660*w**3 Find the second derivative of 140*t**5 - 7*t**4 + 10*t**3 - 36537*t. 2800*t**3 - 84*t**2 + 60*t Find the second derivative of -239109*r**3 - 2734*r - 44 wrt r. -1434654*r What is the second derivative of 9*d**3*l**2 + 231*d**3*l - 2*d**2 + 1096*d*l**3 + 54*d*l + 3*l**2 + l wrt l? 18*d**3 + 6576*d*l + 6 Find the second derivative of -964165*m**3 + 1077*m - 801. -5784990*m What is the second derivative of 208*x**5 - 22*x**3 + 35051*x? 4160*x**3 - 132*x What is the third derivative of -195*x**6 + 3*x**5 - 449*x**3 - 65*x**2 - 9*x - 74 wrt x? -23400*x**3 + 180*x**2 - 2694
{ "pile_set_name": "DM Mathematics" }
- 315. Determine b(21). 0 Let k(i) = i - 97. What is k(4)? -93 Let j(d) = 2*d**3 - 53*d**2 - 7*d - 532. Calculate j(27). 8 Let b(c) = 39*c - 798. Determine b(20). -18 Let m(h) = 5*h**2 + 139*h - 243. Give m(-29). -69 Let y(g) = -g**3 - 12*g**2 + 19*g + 32. What is y(-13)? -46 Let t(d) = d**3 - 4*d**2 - 442*d + 898. Give t(2). 6 Let s(t) = t**2 - 7*t - 46. Calculate s(-5). 14 Let t(p) = p**3 - 57*p**2 + 108*p + 115. Determine t(55). 5 Let b(f) = -f**2 + 43*f + 6021. Calculate b(102). 3 Let r(v) = 26*v**2 - 284*v - 52. Give r(11). -30 Let p(y) = 5*y**3 - 19*y**2 + 38*y - 167. Calculate p(4). 1 Let m(q) = q**3 - 9*q**2 - 5*q + 116. Give m(8). 12 Let q(a) = -a**2 + 64*a - 551. Give q(47). 248 Let i(j) = j**2 + 109*j + 2838. Determine i(-67). 24 Let z(r) = -38*r - 337. Calculate z(-22). 499 Let s(i) = i**3 - 15*i**2 + 7*i + 82. What is s(14)? -16 Let h(l) = -62*l**2 - 2978*l - 88. What is h(-48)? 8 Let g(w) = w**3 - 28*w**2 + 86*w - 333. What is g(25)? -58 Let b(u) = u**2 + 35*u - 121. Determine b(-44). 275 Let b(i) = -407*i - 403. Determine b(-1). 4 Let d(c) = 272*c - 22. What is d(1)? 250 Let c(r) = -2*r**3 + 194*r**2 + 2*r - 165. Give c(97). 29 Let h(p) = -p**3 - 30*p**2 + 7*p + 197. Determine h(-30). -13 Let b(h) = 6*h - 74. What is b(30)? 106 Let k(m) = -5548*m - 5542. Determine k(-1). 6 Let r(o) = -2*o**3 - 23*o**2 - 3*o + 62. What is r(-11)? -26 Let t(u) = 4*u**2 + 146*u - 732. Give t(-41). 6 Let n(h) = h**3 + 13*h**2 - 17*h - 236. What is n(-13)? -15 Let s(k) = -4*k**2 - 23*k + 10. Determine s(-6). 4 Let w(s) = -9*s**2 - 345*s - 2969. Determine w(-13). -5 Let d(t) = -8*t**2 - 38*t - 50. Give d(-3). -8 Let c(h) = 115*h - 1176. Give c(10). -26 Let v(b) = -5*b + 140. Calculate v(-36). 320 Let q(x) = 21*x**2 + 53*x + 356. Determine q(-6). 794 Let i(t) = 581*t**2 + 4*t + 9. What is i(-1)? 586 Let d(n) = -41*n - 107. Determine d(-3). 16 Let g(z) = 18*z + 335. Calculate g(-25). -115 Let u(h) = -8*h**2 - 90*h + 3. Give u(-11). 25 Let y(i) = 4*i + 348. What is y(-88)? -4 Let f(d) = -3150*d + 3187. What is f(1)? 37 Let n(c) = 311*c - 10899. Determine n(35). -14 Let g(y) = -4*y**2 + 383*y + 1316. Determine g(99). 29 Let r(p) = -15*p**3 - 38*p + 123. Give r(3). -396 Let q(z) = -z**2 + 150*z - 158. What is q(149)? -9 Let u(j) = -j**3 - 7*j**2 + 294*j + 5. Calculate u(14). 5 Let h(m) = -m**2 + 76*m - 1162. Give h(21). -7 Let t(h) = -h**3 + 136*h**2 + 704*h + 296. Give t(141). 155 Let y(s) = 8*s**2 - 190*s + 17. What is y(24)? 65 Let l(q) = -7*q**2 + 253*q - 20. Calculate l(35). 260 Let x(k) = 39*k - 54. Calculate x(4). 102 Let a(d) = 163*d + 21. Calculate a(-1). -142 Let o(s) = 74*s**2 + 749*s + 88. Give o(-10). -2 Let d(t) = 202*t + 2199. What is d(-10)? 179 Let p(q) = -30*q - 516. What is p(-17)? -6 Let w(p) = 6*p**2 - 15*p - 271. Determine w(9). 80 Let c(x) = 126*x + 526. Give c(-4). 22 Let l(n) = 10*n**3 - 682*n**2 + 132*n + 293. Give l(68). 21 Let i(m) = 95*m**3 + 2*m**2 - 3*m + 1. Determine i(1). 95 Let k(w) = -6*w**2 + 120*w - 47. What is k(20)? -47 Let x(h) = -645*h + 3224. Give x(5). -1 Let z(x) = -53*x + 236. Calculate z(6). -82 Let v(x) = x**3 - 28*x**2 + 86*x - 904. Give v(26). -20 Let x(p) = 2*p**3 + 21*p**2 + 35*p - 4. Determine x(-2). -6 Let l(j) = -j**2 - 46*j - 95. Determine l(-44). -7 Let k(u) = u**3 - 14*u**2 + 20*u + 32. Calculate k(12). -16 Let k(m) = 22*m + 27. Calculate k(-2). -17 Let q(s) = -2078*s - 22852. Calculate q(-11). 6 Let h(m) = 80*m**2 + 169*m + 14. Calculate h(-2). -4 Let n(u) = u**2 + 31*u + 441. Calculate n(-21). 231 Let b(u) = -2*u**3 - 11*u**2 - 24*u - 167. Calculate b(-6). 13 Let i(k) = k**3 - 60*k**2 - 153*k - 6605. What is i(64)? -13 Let d(v) = -v**2 - 47*v - 304. What is d(-8)? 8 Let o(x) = x**3 - 20*x**2 + 52*x + 513. Calculate o(13). 6 Let o(t) = 16*t**2 - 22*t + 10. What is o(1)? 4 Let l(p) = -2*p**3 - 36*p**2 + 4*p + 71. Give l(-18). -1 Let l(y) = -2*y**2 + 773*y - 46011. Calculate l(313). 0 Let w(t) = -73*t + 27. Determine w(4). -265 Let k(x) = 607*x - 4259. Give k(7). -10 Let l(j) = j**3 - 4*j**2 + 104*j - 670. Determine l(6). 26 Let l(b) = 101*b - 2543. Calculate l(25). -18 Let m(v) = 107*v - 58. Calculate m(1). 49 Let k(w) = -599*w + 2988. What is k(5)? -7 Let n(k) = -2*k**2 - 572*k + 101667. Determine n(-410). -13 Let c(d) = -d**3 - 36*d**2 - 19*d + 514. Calculate c(-35). -46 Let h(a) = -2*a**3 - 119*a**2 - 291*a - 328. Calculate h(-57). 14 Let y(z) = -z**2 + 263*z - 12103. Give y(60). 77 Let m(f) = 36*f + 1303. Calculate m(-37). -29 Let r(s) = -5*s**3 - 134*s**2 + 24*s - 67. What is r(-27)? 14 Let x(r) = -r**3 - 90*r**2 - 264*r - 316. Calculate x(-87). -55 Let c(z) = z**3 - 20*z**2 - 152*z - 99. What is c(26)? 5 Let m(k) = -k**2 - 401*k + 4534. Calculate m(11). 2 Let k(s) = 2*s**3 - 228*s**2 - 471*s - 24. What is k(-2)? -10 Let o(q) = -147*q - 1485. Determine o(-10). -15 Let k(u) = 8*u**2 - 66*u - 21. Calculate k(9). 33 Let k(q) = q**2 - 2*q + 39. Determine k(10). 119 Let x(b) = -78*b + 804. Give x(9). 102 Let o(x) = 48*x + 136. Calculate o(-6). -152 Let l(w) = -2*w - 11. Determine l(-1). -9 Let x(u) = -2*u**3 - 10*u**2 - 3*u + 5. What is x(0)? 5 Let n(o) = -o**3 - 8*o**2 - 22*o - 24. Give n(-5). 11 Let o(g) = -2*g**2 + 99*g - 19. Determine o(49). 30 Let s(v) = -v**2 + v - 1. Give s(-2). -7 Let s(b) = -370*b + 751. Calculate s(2). 11 Let t(d) = -13*d + 95. What is t(9)? -22 Let u(l) = l**2 - 16*l - 1211. Calculate u(44). 21 Let q(n) = -n**2 - 18*n + 267. Give q(-23). 152 Let i(a) = a**3 + 30*a**2 - 489*a - 11. What is i(11)? -429 Let r(t) = -4*t**2 - 81*t + 147. Determine r(-22). -7 Let a(y) = -3*y**3 + 9*y**2 - 22*y + 22. Calculate a(8). -1114 Let n(x) = 2*x**2 - 29*x - 1. Determine n(-4). 147 Let p(n) = n**3 - 7*n**2 - 997*n + 6941. Give p(7). -38 Let v(x) = 514*x + 41632. Calculate v(-81). -2 Let s(f) = 2*f**3 + 118*f**2 - 115*f + 311. What is s(-60)? 11 Let i(g) = 4*g**3 + 2*g**2 - 23*g + 12. Determine i(-3). -9 Let o(m) = m**3 - 31*m**2 + 3*m - 86. Calculate o(31). 7 Let a(y) = -y**3 - 53*y**2 - 51*y + 37. What is a(-52)? -15 Let g(r) = -r**3 - 13*r**2 + 6*r - 55. Determine g(-14). 57 Let o(w) = -w**3 - 7*w**2 + 252*w + 580. Give o(14). -8 Let o(r) = -r**3 - 65*r**2 + 78*r + 425. Determine o(-66). -367 Let q(r) = r**2 - 21*r - 16. What is q(21)? -16 Let y(i) = -39*i - 372. What is y(-13)? 135 Let l(t) = 302*t**2 - 206*t - 4. Calculate l(1). 92 Let k(n) = 370*n + 145. Calculate k(1). 515 Let t(l) = 2*l**2 - 196*l + 76. Calculate t(98). 76 Let m(n) = n**2 - 518*n - 19356. Determine m(-35). -1 Let v(l) = -l**3 - 23*l**2 - 16*l + 517. Give v(-21). -29 Let h(a) = 4*a**3 - 872*a**2 - 10*a + 2178. Give h(218). -2 Let t(h) = -181*h + 8110. Give t(45). -35 Let k(p) = -p**3 - 4*p**2 - 21*p + 61. Give k(3). -65 Let n(p) = -1300*p + 32510. Calculate n(25). 10 Let s(l) = l**2 + 9*l + 128. What is s(0)? 128 Let c(s) = -378*s - 10579. Calculate c(-28). 5 Let i(u) = -194*u + 806. Give i(0). 806 Let t(y) = 30*y**3 - 21*y**2 + 2*y. Give t(1). 11 Let b(w) = w**2 + 15*w - 6. Determine b(-13). -32 Let i(k) = 298*k - 3273. Give i(11). 5 Let i(z) = 68*z - 434. Give i(6). -26 Let x(l) = -2*l**2 - 1169*l + 2349. Calculate x(2). 3 Let j(h) = -157*h**2 - 1723*h + 42. Give j(-11). -2 Let a(s) = -s**3 + 25*s**2 - 136*s + 1. Calculate a(8). 1 Let d(v) = v**3 + 122*v**2 + 11*v + 1331. Calculate d(-122). -11 Let a(d) = 2*d**3 - 30*d**2 - 79*d + 1494. Determine a(14). -4 Let a(p) = -p - 71. Determine a(-96). 25 Let r(j) = j**3 - 245*j**2 - 5582*j - 1067. What is r(266)? -3 Let o(r) = 27*r + 1145. Give o(-42). 11 Let f(k) = -2*k**2 + 26*k + 7. What is f(0)? 7 Let l(r) = 2*r**2 + 53*r - 81. Determine l(-28). 3 Let i(p) = -2*p**2 + 112*p + 10. What is i(57)? -104 Let f(j) = -j**3 + 68*j**2 - 251*j - 340. Calculate f(64). -20 Let y(s) = -4*s**3 - 87*s**2 - 303*s - 5048. What is y(-21)? -8 Let f(q) = -36*q**2 + 11369*q + 2214. Determine f(316). 2 Let n(y) = y**3 + 35*y**2 - 159*y - 36. Give n(-39). 81 Let j(i) = -7301*i + 29207. What is j(4)? 3 Let j(p) = 2*p**2 + 45*p - 652. Determine j(10). -2 Let n(t) = 1399*t - 8406. Calculate n(6). -12 Let z(v) = 3*v**3 + 22*v**2 - 25*v - 73. What is z(-8)? -1 Let o(w) = 68*w - 887. Calculate o(14). 65 Let y(d) = 6*d**2 + 5*d + 7. Determine y(-5). 132 Let k(f) = 26*f**3 - 3*f**2 + 2*f + 9.
{ "pile_set_name": "DM Mathematics" }
is divided by 9? 8 Calculate the remainder when 2160 is divided by (-77)/(-22)*(-10 + 12). 4 Let j = 598964 - 598709. What is the remainder when j is divided by 2/(-4) - 87/(-2)? 40 Suppose 212*p - 211*p = -3*d + 92, -3*p = d - 244. Calculate the remainder when 92 is divided by p. 12 Let k(w) = 7*w**2 - 19*w + 7*w**2 + 4*w**2 - 7*w**2 + 4*w**2. Calculate the remainder when k(4) is divided by 48. 20 Let o(b) = b**3 + 7 + 4*b**3 + 2*b - 3*b**2 - 4*b. Let g = -737 + 775. Calculate the remainder when o(3) is divided by g. 33 Calculate the remainder when 202 is divided by 7 + 12 + 2 + 10. 16 Suppose -5*l = -5*z - 15, 2*l + 0*z + 4*z - 30 = 0. Suppose t + 1 = 2*x, 5*x + 7 = l*x + t. What is the remainder when 42 is divided by (0 + 8)*3/x? 6 Let w = 269 + -176. Let h be 1*(-8)/2 + -38. Let o = w + h. What is the remainder when o is divided by 9? 6 Suppose 1556 = -5*d + 3*d. Let z be 18/42 + d/(-14). Let w = z - 43. What is the remainder when 20 is divided by w? 7 Let u be -2 - ((-12)/10)/((-2)/(-10)). Let g be 18/u - (-30)/(-20). Suppose p + 12 = z - p, 4*z - 37 = -g*p. What is the remainder when 36 is divided by z? 6 What is the remainder when (12 + 13 + -26)*0 + 210 + 1 is divided by 108? 103 Let r be 1/((5/(-10))/(-1)). Let i be (7 + -8)*r/(-1). Suppose 0 = -5*y + 20, 5*y = i*f - 6*f + 36. What is the remainder when 22 is divided by f? 2 Let t be (-2)/(2/(-8) - 0). Suppose -768 + 568 = -t*b. What is the remainder when 272 is divided by b? 22 Let t = 42 + 4. Suppose -t = -q - 19. Suppose -b + q = -4*k - 6, -k = 0. Calculate the remainder when b is divided by 18. 15 Let j = -1867 - -2031. Calculate the remainder when j is divided by 18. 2 Calculate the remainder when 1294 is divided by (-194)/50*-5 + 15/25. 14 Let z be 4/((-16)/(-60))*(-2)/(-6). Suppose 2*p + s - 833 = 40, 2190 = z*p - 5*s. Calculate the remainder when p is divided by 63. 59 Let n(s) = -46*s - 310. Suppose -4 = -5*f - 14. Let b = f + 6. What is the remainder when n(-7) is divided by b? 0 Suppose 554*v - 970 = 544*v. What is the remainder when v is divided by 40? 17 Suppose -3*u - 339 = -3*m, 3*m - 146*u - 355 = -145*u. What is the remainder when m is divided by (-2)/11 + 2151/33? 56 Suppose -5*w - 482 = -4*w - 5*p, 3*w = p - 1432. Let d = -121 - w. Calculate the remainder when d is divided by 45. 41 Let w = -44396 - -44473. Let h(z) = -z**3 + 5*z**2 - 2*z - 4. What is the remainder when w is divided by h(3)? 5 Let y(c) = 0 - 1 + c - 44*c**2 + 53*c**2. Calculate the remainder when 88 is divided by y(-2). 22 Suppose 208 = 4*u + 24. Suppose -y + u = -5*i - 0*i, -2*i + 152 = 2*y. What is the remainder when 277 is divided by y? 64 Suppose -2*s - 3*s - 8*s = 0. Suppose -2*f + s*v + 3*v = -52, 3*v = -f + 8. What is the remainder when f is divided by 4? 0 Let h(c) = -c**2 - 15*c - 39. Let f be h(-11). Let u(q) = 10*q + 10. Let x be u(f). What is the remainder when (-114)/(-4)*x/45 is divided by 21? 17 Suppose 0 = -4*c + 4, -5*t = -10*t - 4*c + 44. Let x(k) = -2*k**3 + 15*k**2 + 12*k - 22. Calculate the remainder when 29 is divided by x(t). 9 Calculate the remainder when (1099/628)/((-2)/(-224) + 0) is divided by 17. 9 Let f(c) = -122*c - 716. Calculate the remainder when f(-10) is divided by 501. 3 Let g = -42 - -132. Suppose 9*j = 630 - g. What is the remainder when 296 is divided by j? 56 Suppose 0 = g - 3*g + 1456. Let l = g + -722. Calculate the remainder when 41 is divided by l. 5 Let v = 2 + 3. Suppose 214*l - 247*l + 3234 = 0. Calculate the remainder when l is divided by v. 3 Let m = -1323 - -1575. What is the remainder when m is divided by 251? 1 Suppose -5*n = j - 2403, 0 = 3*n + 3*j + 2*j - 1433. Suppose 0 = 3*h + 10*h - n. What is the remainder when 61 is divided by h? 24 Let i be (-1265)/(-44) + 3/12. Let b = i - 25. What is the remainder when 16 is divided by b? 0 Let f(j) be the third derivative of 41*j**5/60 - 11*j**4/24 - 2*j**3 + 109*j**2. What is the remainder when 397 is divided by f(-1)? 37 Suppose -8*s + 4*f = -5*s - 5, 2*s - 2 = 4*f. Calculate the remainder when s*(-2366)/(-21) + -3 is divided by 56. 55 Suppose -3*n = 2*n - 4*q - 524, 3*q - 413 = -4*n. Calculate the remainder when n is divided by 6 - 67/(603/(-108)). 14 Suppose 41*f = -2*a + 37*f + 3284, 2*a = 4*f + 3308. What is the remainder when a is divided by 110? 108 Let c(a) = 11*a**3 - 2*a**2 - 2*a + 3. Let o = -7 - -12. Suppose 1 = -o*k + 21. Calculate the remainder when c(1) is divided by k. 2 Let n(x) = 50 + x + 20*x - 9*x - 8*x. Calculate the remainder when (-2)/4 + 708/8 is divided by n(-5). 28 Suppose 5*y = 20, -3*y - 123 + 483 = 4*j. Calculate the remainder when 1126 is divided by j. 82 What is the remainder when 2055 is divided by ((-281)/30 + (-66)/(-30))*-18? 120 Let f = 1695 + -1651. Let l = 42 + -32. Calculate the remainder when f is divided by l. 4 Suppose -26*h + 640 = 198. What is the remainder when (-68)/(-6) + (h/3 - 5) is divided by 7? 5 Suppose -636 = m - 256. Calculate the remainder when 6/(-9) - (-3)/((-36)/m) is divided by 8. 7 Suppose -312*p + 70580 = 46*p - 6032. What is the remainder when 1297 is divided by p? 13 What is the remainder when 1262 + ((6/9)/(-1))/(108/486) is divided by 19? 5 Suppose -2*r = 2*z - 10, -5*z - 4*r + 5*r = -1. Let y be (z + (-18)/4)*22. Let p = -52 - y. Calculate the remainder when 48 is divided by p. 23 Let f = 1637 - 1551. What is the remainder when f is divided by (-171)/(-33) + -5 + 1695/55? 24 Let d(w) = 209*w + 59. Let h be d(6). Suppose -4*p - h = -5*y, 5*y + 4*p - 1072 = y. Calculate the remainder when y is divided by 38. 37 What is the remainder when 4378 is divided by -183 + 253 + (-21 - 2)? 7 Let f be (-45)/(0 + 3)*(-2)/3. Suppose -f*n = -8*n - 10. Suppose -17 = -h - 3*p, 4*h - 98 = 3*p - n*p. Calculate the remainder when 101 is divided by h. 23 Let o = 2070 - 1472. Let r = o + -573. Calculate the remainder when 118 is divided by r. 18 Let o = -2531 - -26583. What is the remainder when o is divided by 85? 82 Let d = -532 + 528. What is the remainder when 121 is divided by (10 + 20)*(-6)/d? 31 Suppose 41*t + 95*t - 30600 = 0. What is the remainder when t is divided by 34? 21 Let u = -408 - -446. Suppose -12*t = u - 206. Suppose -2*c + 31 = -23. Calculate the remainder when c is divided by t. 13 Let s(g) = g**2 - 46*g + 1088. Calculate the remainder when s(67) is divided by 39. 38 Let x(d) = 13*d - 41. What is the remainder when 692 is divided by x(6)? 26 Suppose q + n + 67 = 77, -9*n - 53 = -2*q. What is the remainder when (18/4)/(2/8) is divided by q? 5 Let n(d) = -8*d**3 - 15*d**2 - 12*d + 28. Calculate the remainder when 77 is divided by n(-2). 21 Suppose 820*y - 819*y - 5 = 0. Suppose -42*s = -5*u - 38*s + 419, -y*u + 3*s = -418. Calculate the remainder when u is divided by 17. 15 Let p be 1824/10 - (-28)/(-70). Let t = 185 - p. Calculate the remainder when 6 is divided by t. 0 Suppose 0 = 25*j + 83*j - 49572. Calculate the remainder when j is divided by 20. 19 Let y(d) = -40 + 0*d - 5*d + 3*d. Suppose -55 = -4*g - v + 54, -2*v - 25 = -g. Calculate the remainder when g is divided by y(-26). 3 Suppose -q = -4*l + 412, 5*q - 101 + 427 = 3*l. Let o = l - 98. What is the remainder when 42 is divided by o? 2 Suppose 63 = 38*c - 51. Suppose c*u - 72 = -5*n + 333, 5*n - 3*u - 375 = 0. Calculate the remainder when 542 is divided by n. 74 Let d(p) = -3*p**3 - 10*p**2 + 7*p + 5. Suppose 0 = -6*s + 67 - 19. Suppose -n + 41 = r, 3*r + s = -1. Calculate the remainder when n is divided by d(-4). 8 Let k(b) = -2*b**2 - 49*b - 46. Let f be -23*((-6)/6 + 2). Calculate the remainder when k(f) is divided by 12. 11 Suppose 0 = 4*l - 112 + 4. Suppose -5*x - 15 = v, -2*x - 30 = 168*v - 170*v. Calculate the remainder when l is divided by v. 7 What is the remainder when 226 is divided by 361/6 - ((-1001)/78 + 12)? 43 Let x = 4266 - 4256. Calculate the remainder when 106 is divided by x. 6 Let s(w) = -2*w - 26. Let m be s(-14). Suppose -y + 2*b + 114 = 2*y, -m*y - b = -76. What is the remainder when y is divided by 10? 8 Let w = 18735 + -18616. What is the remainder when 195 is divided by w? 76 Let z be ((-8)/7)/(12/(-42)). Suppose -z*c + 691 = 123. Calculate the remainder when c is divided by 24. 22 Suppose 32*b + 8 = 34*b. Calculate the remainder when b - -62 - (3
{ "pile_set_name": "DM Mathematics" }
0. -4000 What is 18815.4 rounded to the nearest ten thousand? 20000 Round 1628751000 to the nearest one million. 1629000000 Round -185.948 to the nearest ten. -190 What is 0.27926421 rounded to 2 decimal places? 0.28 What is 754128.1 rounded to the nearest 100000? 800000 Round 0.0094512 to two decimal places. 0.01 What is -19896.45 rounded to the nearest 10? -19900 Round 0.000000967147 to seven dps. 0.000001 What is 7177015 rounded to the nearest 1000000? 7000000 What is -6.27501 rounded to the nearest integer? -6 Round -1.1389912 to three decimal places. -1.139 Round 5020.11 to the nearest 1000. 5000 Round -343495800 to the nearest 100000. -343500000 Round -5245.64 to the nearest 100. -5200 What is -0.1661856 rounded to 2 dps? -0.17 Round 0.00001611927 to seven decimal places. 0.0000161 What is 40972.71 rounded to the nearest one hundred? 41000 Round -220.3666 to the nearest one thousand. 0 What is -1.675957 rounded to three dps? -1.676 Round 5.9691365 to 1 dp. 6 Round 2030100 to the nearest ten thousand. 2030000 Round 0.01583156 to three dps. 0.016 What is 0.00001509775 rounded to 6 decimal places? 0.000015 Round -0.000006988235 to 6 dps. -0.000007 What is 2311.702 rounded to the nearest 10? 2310 Round -112161000 to the nearest one hundred thousand. -112200000 What is -43.43226 rounded to the nearest 10? -40 Round -0.1526316 to 4 decimal places. -0.1526 What is 23.763074 rounded to 0 dps? 24 Round 52927 to the nearest ten thousand. 50000 Round 0.000005986745 to seven dps. 0.000006 What is 0.0000372852 rounded to five decimal places? 0.00004 Round -13.81158 to the nearest ten. -10 What is 36.44054 rounded to the nearest integer? 36 Round -0.0027201 to four dps. -0.0027 Round -2102410 to the nearest 100000. -2100000 What is 17652260 rounded to the nearest ten thousand? 17650000 Round 0.00000690196 to seven dps. 0.0000069 Round 0.25651837 to 4 dps. 0.2565 What is 29.6425 rounded to the nearest integer? 30 Round -2951807000 to the nearest one million. -2952000000 What is 0.002925666 rounded to 4 dps? 0.0029 Round -0.000023677 to 6 dps. -0.000024 Round 0.0041831222 to six decimal places. 0.004183 What is -3240.3 rounded to the nearest 1000? -3000 Round -16.19731 to two decimal places. -16.2 What is -4338035 rounded to the nearest one hundred thousand? -4300000 What is -0.000000142998 rounded to 6 decimal places? 0 Round -8362919 to the nearest one hundred thousand. -8400000 What is 306586 rounded to the nearest ten thousand? 310000 What is 2355268 rounded to the nearest 100000? 2400000 Round -912690 to the nearest ten thousand. -910000 What is -4435.157 rounded to the nearest 10? -4440 What is -0.0000004455131 rounded to 7 decimal places? -0.0000004 What is -0.00102438 rounded to five decimal places? -0.00102 What is -16.388 rounded to the nearest 10? -20 Round -0.7130603 to three decimal places. -0.713 What is 0.607117 rounded to three decimal places? 0.607 What is 24562000 rounded to the nearest one million? 25000000 Round -4.2971 to the nearest ten. 0 Round -8479762 to the nearest 10000. -8480000 What is -349074900 rounded to the nearest 1000000? -349000000 Round 0.1601022 to three dps. 0.16 What is -0.0000601537 rounded to seven dps? -0.0000602 Round 9.87011 to 1 dp. 9.9 What is -0.07180482 rounded to 3 decimal places? -0.072 Round 0.00592301 to four decimal places. 0.0059 Round -2837036.8 to the nearest one thousand. -2837000 What is 1.4508286 rounded to 2 dps? 1.45 Round -0.34601 to the nearest integer. 0 What is 1767.93 rounded to the nearest ten? 1770 Round 227030 to the nearest 100. 227000 What is -10811430 rounded to the nearest one million? -11000000 What is 4237.761 rounded to the nearest 10? 4240 What is -0.0001243982 rounded to five decimal places? -0.00012 Round -0.1118138 to three decimal places. -0.112 Round -0.00034125319 to four decimal places. -0.0003 What is 41954670 rounded to the nearest ten thousand? 41950000 What is 218.8263 rounded to the nearest integer? 219 What is 13642600 rounded to the nearest 1000000? 14000000 What is 0.0013357199 rounded to 5 dps? 0.00134 Round -34.644971 to 2 dps. -34.64 Round 768.7018 to the nearest 10. 770 Round -461.4871 to 1 dp. -461.5 Round -493.9067 to one decimal place. -493.9 What is 854644000 rounded to the nearest one million? 855000000 Round 0.000001984594 to six decimal places. 0.000002 What is 16115530 rounded to the nearest one hundred thousand? 16100000 What is 24005.87 rounded to the nearest 100? 24000 What is 135222.5 rounded to the nearest ten thousand? 140000 Round 18193726 to the nearest 1000000. 18000000 What is 0.00004599458 rounded to 6 decimal places? 0.000046 Round 0.0000542406 to 6 dps. 0.000054 What is 2.2499782 rounded to three decimal places? 2.25 Round 935429.7 to the nearest 1000. 935000 What is 0.0000983602 rounded to 7 decimal places? 0.0000984 Round -0.9882934 to one decimal place. -1 Round 0.000182796 to six decimal places. 0.000183 What is -0.0030342246 rounded to five decimal places? -0.00303 Round 0.00012684857 to 5 dps. 0.00013 Round -1.43811 to 2 decimal places. -1.44 What is -4.650203 rounded to 2 dps? -4.65 Round 1870.206 to the nearest integer. 1870 What is -86729800 rounded to the nearest 1000000? -87000000 Round -0.000000223107 to 7 dps. -0.0000002 What is 5411.366 rounded to the nearest integer? 5411 What is 618168 rounded to the nearest one hundred thousand? 600000 Round -0.0002418395 to 6 decimal places. -0.000242 What is -0.0150302 rounded to 4 dps? -0.015 What is 0.016890712 rounded to 5 dps? 0.01689 What is -68886 rounded to the nearest one hundred? -68900 Round 32045.75 to the nearest one thousand. 32000 Round -4.4286 to the nearest integer. -4 What is -59365771 rounded to the nearest 100000? -59400000 What is 0.0069729 rounded to 2 decimal places? 0.01 Round -23563.297 to the nearest one hundred. -23600 Round 0.1550289 to four dps. 0.155 What is -0.00395421 rounded to three dps? -0.004 What is -725.23 rounded to 0 dps? -725 What is 0.000005072884 rounded to seven dps? 0.0000051 Round 1.205357 to three decimal places. 1.205 What is -1998.223 rounded to 0 decimal places? -1998 Round -5895.93 to the nearest 100. -5900 What is -898.704 rounded to the nearest ten? -900 Round -1000.781 to the nearest 10. -1000 Round -3.7174503 to three decimal places. -3.717 Round 113.90058 to the nearest 10. 110 What is -404103.5 rounded to the nearest one thousand? -404000 What is 28898.24 rounded to the nearest one hundred? 28900 What is -0.384488 rounded to three decimal places? -0.384 What is -744.935 rounded to zero decimal places? -745 Round -0.000012982 to 6 dps. -0.000013 Round 158.78985 to one decimal place. 158.8 Round 4.620542 to three decimal places. 4.621 What is 0.000204701 rounded to five dps? 0.0002 Round -0.000020100358 to 6 dps. -0.00002 Round -0.3300094 to three dps. -0.33 What is -0.0000325653 rounded to five decimal places? -0.00003 What is -0.003416795 rounded to 4 dps? -0.0034 What is 11231489 rounded to the nearest one hundred thousand? 11200000 What is -0.042125 rounded to three dps? -0.042 What is -0.00001273715 rounded to 7 dps? -0.0000127 Round 0.3362662 to 1 dp. 0.3 What is 1520191.5 rounded to the nearest one thousand? 1520000 What is -259.4588 rounded to the nearest integer? -259 What is -0.053629 rounded to 2 decimal places? -0.05 Round 0.0277423 to 4 dps. 0.0277 What is -30243.43 rounded to the nearest 1000? -30000 Round -0.000387987 to six decimal places. -0.000388 What is 84.561772 rounded to the nearest ten? 80 Round 7112.9 to the nearest 10000. 10000 What is 6373.29 rounded to the nearest ten? 6370 Round 3418928.9 to the nearest 10000. 3420000 What is 0.000512741 rounded to 6 dps? 0.000513 What is -59.197821 rounded to two decimal places? -59.2 What is 0.000250265 rounded to 5 decimal places? 0.00025 Round -4528530 to the nearest one million. -5000000 Round -0.8357131 to three dps. -0.836 What is -1549.7401 rounded to the nearest 100? -1500 What is -0.2629709 rounded to 3 decimal places? -0.263 Round -3279.824 to the nearest 100. -3300 What is 89269.3 rounded to the nearest ten thousand? 90000 What is 0.0000013243298 rounded to 6 decimal places? 0.000001 What is 941741000 rounded to the nearest 1000000? 942000000 Round 0.000
{ "pile_set_name": "DM Mathematics" }
*5/12 + 3*p**3/2 + 20*p**2. Is v(-4) a prime number? True Let o(p) = -p**3 + 20*p**2 + 23*p - 41. Let n be o(21). Let b(r) = r**2 - 13*r + 9. Let h be b(9). Is (n - h)*(-154)/(-56) a prime number? False Suppose 0 = 4*q - 32 - 36. Let h(t) = t**2 - 3*t - 8. Let m be h(6). Let g = q - m. Is g prime? True Let i(p) = 3*p + 191. Let m be i(0). Suppose -3*y - 3*d = -648, -y + 3*d + m = -d. Is y composite? False Let z be ((-108)/48)/(2/(-8)). Let b be (-20)/90 + 38/z. Is (-12)/b + 120 + 1 a prime number? False Let q be ((-20)/4 + -4)/1. Let p(y) = -70*y + 4. Is p(q) a prime number? False Suppose -3*k + 24 = -9*k. Is (1284/(-20))/((12/15)/k) prime? False Let m(z) = -26*z - 4. Let s be m(-8). Suppose 4*i = -2*c + c + 892, 0 = -i - 5*c + s. Suppose -i = 4*w - 760. Is w composite? True Let j = -4072 - -7091. Is j a composite number? False Suppose -12735 + 2955 = -12*l. Is l composite? True Suppose -5*r = -t + 6, -2*t + 5*r + 9 = -18. Let h = t + -18. Suppose h*b = 5*y + 4*b - 710, 5*b = -3*y + 448. Is y prime? False Let o(q) = 1862*q**3 + 3*q**2 - 7. Is o(2) a prime number? False Suppose 8*j = -6 + 22. Suppose j*x - 3735 - 4355 = 0. Is x a composite number? True Let a = -2802 - -3955. Let q = -590 + a. Is q prime? True Suppose 180622 = 24*x - 39770. Is x composite? True Let g = -28 + 28. Suppose 3*o - 2*o - 851 = g. Is o a composite number? True Let d(v) = -v**3 - 3*v**2 - 1. Let w be d(-2). Is -33*(2 - (-2 - w)) prime? False Let z = 2326 - 1609. Is z a prime number? False Let h(w) be the second derivative of w**5/20 + 2*w**4/3 + 7*w**3/6 - w**2/2 - 16*w. Is h(-3) prime? True Suppose 0 = 4*q - q. Suppose p - 5*p = q. Is 107 - p - (-2 - -3) composite? True Let q(i) = i + 11. Let u be q(-6). Suppose 0 = -u*w + 7*w - 408. Suppose 0 = 5*g - 9*g + w. Is g a composite number? True Let y(a) = a**2 + 6*a - 1. Let q be y(-5). Let s be 2/q*0 + -3. Is 0 - s/(3/37) composite? False Let v(c) = c**3 - 5*c**2 - 7*c + 6. Let t be v(6). Suppose 0 = -t*w + 2*w - 818. Is w a prime number? True Suppose -4*f - 51*c + 46*c + 21153 = 0, 3*f - 15866 = -5*c. Is f composite? True Is 18257 + 5/(-5) + 7 prime? False Let f(c) = 205*c**2 - 3*c - 3. Is f(-3) prime? False Is (-202)/(-3 + (-705)/(-237)) prime? False Let l = 3523 - 1278. Is l composite? True Suppose 2*d - 8 = -2. Let b be (1 + (-1)/d)*6. Suppose 5*q + 18 = p - 34, 0 = b*p + q - 271. Is p a composite number? False Suppose 10*w - 6*w = -3*b + 24161, -4*b = 3*w - 32224. Is b a composite number? False Let r be (-3853)/((-10)/6 + 8/12). Suppose -r = -3*i - 172. Is i a prime number? False Suppose -3*f + 48 = 5*f. Suppose -2387 - 6823 = -f*n. Is n prime? False Let z = 14 + -20. Let b(r) = -12*r - 1. Let q be b(z). Suppose 5*k + u - q = 0, 7*k - 3*k - 2*u = 68. Is k composite? True Let q be (-6 + 6)*(-1)/2. Suppose i + q*i = 1187. Is i a prime number? True Let q be ((-4)/(-6))/((-2)/(-6)). Let r be (-24)/5 + q/(-10). Is 2 + (673 - (r - -1)) a composite number? True Let f(x) be the first derivative of 230*x**2 - x + 2. Is f(2) a composite number? False Suppose -5*f - 2*p + 35 + 4158 = 0, -f + 3*p + 842 = 0. Is f a prime number? True Let s(n) = -722*n - 5. Let g be (4/6)/((-9)/27). Let j be s(g). Let p = -990 + j. Is p a prime number? True Let h(d) = 42*d + 33. Let r be h(15). Let t = r - 370. Is t composite? False Let b(d) = d + 4. Let v be b(-3). Let p(k) be the first derivative of 44*k**3 + k**2/2 - 2*k - 103. Is p(v) composite? False Suppose 5*q = -r + 5, 0*r - 5 = 5*q - r. Suppose q = -w - 0*w + 155. Is w a prime number? False Let g be 2663 + (6 - 3 - 5). Let j = g + -1754. Is j prime? True Let l be (2/3)/(2/3). Is 2/(-4) + l/(10/13475) prime? False Let h be (2/(-3))/(40/(-4500)). Let j = -56 + h. Is j prime? True Let b(k) = 1018*k**2 - k - 65. Is b(-6) a prime number? False Let i be (5/3)/(1/3). Suppose -j - t = -4*t - 1499, -4*t + 7495 = i*j. Suppose j = 5*q - o + 383, q + 5*o - 218 = 0. Is q a composite number? False Suppose -12*s + 9*s = x - 13832, s = -x + 4614. Is s a prime number? False Suppose -4*i - 4 = 5*l + 2, -l - i - 2 = 0. Let r(o) = 487*o + 3. Is r(l) composite? False Suppose 5*j + 4*t = -t + 23810, -5*j - 3*t + 23818 = 0. Suppose 4*p + p = -20, 0 = 2*r + 5*p - j. Is r a composite number? False Let f(w) be the third derivative of -89*w**4/6 + w**3/6 - 8*w**2. Let h be f(-1). Is ((-22)/(-3))/(14/h) prime? False Let s be (-1 + -1)*(-6)/12. Let l be (1 - (-3 - -3))*s. Is 7 + -7 + 14*l prime? False Let t be (264/(-9))/(4/(-120)). Suppose -2*v + 797 = -4*l + 1975, -3*l + t = -5*v. Is l prime? False Suppose 11*l = 39944 - 13863. Is l prime? True Let m be 104/18 - (-8)/36. Suppose -2 = -2*c, t + 5*c + 0*c = 7. Suppose -439 = 2*h - m*h + 3*x, -t*x = -h + 111. Is h composite? False Suppose 53*a - 397800 = 61339. Is a prime? True Let l = 10761 - 6784. Is l a composite number? True Suppose -6*a - 21 = 39. Is -22*5/a*11 a composite number? True Let j = 5847 - 164. Is j a composite number? False Let d(o) = -20855*o - 29. Is d(-2) a prime number? True Suppose -2*g - 39312 = -2*m, 3*m + 30028 - 89001 = 2*g. Is m composite? False Let v = -2291 - -3222. Suppose 0 = y - 4, 3*y = -3*z - y + v. Is z composite? True Let f = -2412 - -4385. Is f composite? False Suppose 5*d = 3*w + 24, -2*w + 30 = 5*d - 7*w. Suppose d*j = 671 + 322. Is j composite? False Suppose 3*p - 1003 = 4*y, -y = -5*p + p + 1359. Let h = -2 - -6. Suppose 4*c + 3*i - 381 = -28, -h*c + i = -p. Is c prime? False Let v(f) be the first derivative of -53*f**4 - 4*f**3/3 - 3*f**2/2 - f - 10. Is v(-2) composite? True Suppose o + s = -o + 1, 2*s + 16 = 2*o. Is 2/(-2) - (-466 + 2 - o) a prime number? False Let h(c) = c**3 + 24*c**2 - 111*c - 11. Is h(-26) composite? False Let j = -38 + 42. Suppose 4*w = j*n - 936 + 160, 4*w = -5*n + 943. Is n prime? True Let k = 31 - 33. Let c be (-1)/(2*k/6856). Suppose 0 = 4*u - c - 810. Is u a prime number? True Let b = 17 - 12. Let u(x) = 28*x + 1. Let g be u(b). Suppose -6*s + 5*s = -g. Is s a prime number? False Is 6 + -7 + 7099 - (2 + -1) composite? True Let n(y) = -y**3 + 7*y**2 - 13*y - 7. Let o be n(6). Let t = 306 + o. Is t prime? True Suppose 5*m = i + 42227 + 32837, -5*i + 5 = 0. Is m prime? True Suppose 5221896 + 4829139 = 129*f. Is f prime? False Let q = 53602 - 30143. Is q composite? False Let n = 1964 - 1150. Let k = 1437 - n. Is k a prime number? False Suppose 5*q - 12 = -2. Suppose -4*l + 24 = 8, 242 = q*g - 3*l. Is g a prime number? True Is 8/84 + 33092730/378 prime? True Let a(k) = -33*k + 15. Let u(g) = 17*g - 8. Let z(f) = -3*a(f) - 7*u(f). Is z(-18) a prime number? False Suppose 7 = -10*h + 27. Is ((-65)/h)/13*-149*2 prime? False Let l be (5 - -3) + -2 - (-1)/1. Is 15615/l - (66/14 + -5) a composite number? True Suppose 26344 = 4*t + 4*k, 19756 = -0*t + 3*t + 5*k. Is t a composite number? True Let o(k) = -k**3 - 7*k**2 + 23*k - 4. Let w(n) = -3*n + 28. Let f be w(15). Let r be o(f). Let h = -1456 + r. Is h prime? True Suppose -3*u + 2*p = -9791, 7*u - 5*p = 4*u + 9803. Is u composite? True Let k be (38332/21)/(2/3). Let q = k + -1899. Is q prime? True Let q = 180 + -279. Let r = 173 + q. Suppose -w + r = -397. Is w a composite number? True Let k(f) = -f - 4. Let w be k(-7). Let x = 189 + -188. Is 2 - ((w - x) + -58) a prime number? False Let o be (-2*5)/(-2) - 1. Suppose o - 8 = -4*k. Suppose -3*p + 100 = 5*g - 178, 0 = p - k. Is g a prime number? False Let l(u) = -u**2 + 1. Let o(x) = -11*x**2 + 4*x. Let k(g) = -2*l(g) - o(g). Let n(q) = -q**2 + 7*q + 57. Let s be n(12). Is k(s) a composite number? False Suppose -c + 0*c + 3 = 2*t, -2*c = -t - 6. Let i(v) = 0*v + t*v - 4*v - 1 - 19*v**3 - v**2. Is i(-3) a composite number? True Suppose -3*f - 12137 = -6*f + 5*l, -2*f + 8098 = -5*l. Let g = -2424 + f. Suppose -7*k + g = -2*k. Is k composite? True Let h(x) = -20*x + 1 - 4 + 12. Suppose 0 = 4*c - 1 + 17. Is h(c) a prime number? True Let a be ((-21)/(-9))/((-2)/(-6)). Suppose -5*v = 5*p - 2710, -2*v + 536 = p - a*v. Is p prime? True Let o = -84 + 90. Suppose 0 = o*d + 306 - 822. Is d prime? False Let c = -245 + 252. Let p(w) = 88*w**3 - 3*w**2 + 2*w - 3. Let x be p(2). Suppose -s + x = 2*a - c*a, 4*s - 2688 = -a. Is s prime? True Let p = 5 + 1. Let h(k) = -k**2 + k + 1. Let x(f) = -f - 3. Let t(c) = -2*h(c) - x(c
{ "pile_set_name": "DM Mathematics" }
**3 + 7*u**2 - 540*u - 296 What is the g'th term of 7405, 7395, 7383, 7369, 7353, 7335? -g**2 - 7*g + 7413 What is the j'th term of 2142, 4284, 6426, 8568? 2142*j What is the i'th term of -7392, -7407, -7436, -7485, -7560, -7667, -7812, -8001? -i**3 - i**2 - 5*i - 7385 What is the j'th term of 897, 1183, 1643, 2283, 3109, 4127? j**3 + 81*j**2 + 36*j + 779 What is the r'th term of 6112, 12459, 18806, 25153, 31500, 37847? 6347*r - 235 What is the x'th term of -229, -335, -445, -559, -677, -799? -2*x**2 - 100*x - 127 What is the h'th term of -170, -307, -534, -851, -1258? -45*h**2 - 2*h - 123 What is the n'th term of 383255, 383254, 383253? -n + 383256 What is the t'th term of 444, 493, 542, 591, 640, 689? 49*t + 395 What is the k'th term of -13, -308, -603, -898, -1193, -1488? -295*k + 282 What is the t'th term of 3756, 3787, 3878, 4059, 4360? 5*t**3 - 4*t + 3755 What is the i'th term of -816, -819, -838, -879, -948, -1051? -i**3 - 2*i**2 + 10*i - 823 What is the c'th term of -427, -843, -1273, -1723, -2199, -2707, -3253? -c**3 - c**2 - 406*c - 19 What is the j'th term of 955, 999, 1049, 1105? 3*j**2 + 35*j + 917 What is the i'th term of 685, 585, 461, 301, 93, -175, -515, -939? -2*i**3 - 86*i + 773 What is the k'th term of -87287, -174575, -261863, -349151? -87288*k + 1 What is the z'th term of -4832, -4909, -4986, -5063, -5140? -77*z - 4755 What is the u'th term of -7749, -7755, -7761, -7767? -6*u - 7743 What is the x'th term of -534, -2025, -4510, -7983, -12438, -17869, -24270, -31635? x**3 - 503*x**2 + 11*x - 43 What is the n'th term of 2577495, 2577493, 2577491? -2*n + 2577497 What is the k'th term of -370, -122, 126, 374, 622, 870? 248*k - 618 What is the x'th term of 798501, 1596994, 2395475, 3193938, 3992377, 4790786? -x**3 + 798500*x + 2 What is the m'th term of -502214, -1004422, -1506630? -502208*m - 6 What is the m'th term of -1346, -4957, -10974, -19397, -30226, -43461, -59102? -1203*m**2 - 2*m - 141 What is the o'th term of 323, 575, 827, 1079, 1331, 1583? 252*o + 71 What is the j'th term of 576, 552, 518, 474, 420, 356? -5*j**2 - 9*j + 590 What is the y'th term of -930418, -1860833, -2791248, -3721663, -4652078? -930415*y - 3 What is the b'th term of 674, 840, 1114, 1490, 1962, 2524? -b**3 + 60*b**2 - 7*b + 622 What is the o'th term of -36879, -36830, -36781, -36732? 49*o - 36928 What is the n'th term of 167, 226, 287, 350? n**2 + 56*n + 110 What is the s'th term of -238, -198, -118, 8, 186, 422, 722? s**3 + 14*s**2 - 9*s - 244 What is the d'th term of 3275, 3273, 3271, 3269, 3267, 3265? -2*d + 3277 What is the l'th term of -13632, -27272, -40912? -13640*l + 8 What is the f'th term of 491, 1528, 3247, 5642, 8707? -f**3 + 347*f**2 + 3*f + 142 What is the l'th term of -11, -47, -71, -53, 37, 229, 553, 1039? 5*l**3 - 24*l**2 + l + 7 What is the m'th term of 1328, 2681, 4022, 5345, 6644, 7913, 9146? -m**3 + 1360*m - 31 What is the q'th term of 5357, 5601, 6023, 6635, 7449, 8477? 2*q**3 + 77*q**2 - q + 5279 What is the l'th term of -447, -988, -1625, -2358? -48*l**2 - 397*l - 2 What is the v'th term of -2780, -2776, -2772, -2768? 4*v - 2784 What is the t'th term of 2090, 1938, 1768, 1574, 1350, 1090, 788, 438? -t**3 - 3*t**2 - 136*t + 2230 What is the r'th term of -9217, -9202, -9187, -9172, -9157? 15*r - 9232 What is the l'th term of -515, -580, 241, 2392, 6317, 12460, 21265, 33176? 74*l**3 - l**2 - 580*l - 8 What is the l'th term of 3698, 3698, 3700, 3704? l**2 - 3*l + 3700 What is the f'th term of -4206, -4187, -4160, -4119, -4058, -3971? f**3 - 2*f**2 + 18*f - 4223 What is the w'th term of -316, -161, -32, 59, 100? -2*w**3 - w**2 + 172*w - 485 What is the j'th term of -66458, -66455, -66452? 3*j - 66461 What is the y'th term of 1824, 1810, 1794, 1776, 1756, 1734, 1710? -y**2 - 11*y + 1836 What is the c'th term of 8073, 8085, 8099, 8115, 8133, 8153? c**2 + 9*c + 8063 What is the s'th term of -11563, -23171, -34815, -46489, -58187, -69903, -81631? s**3 - 24*s**2 - 11543*s + 3 What is the v'th term of 137629, 137627, 137625? -2*v + 137631 What is the y'th term of -38, -326, -802, -1460, -2294, -3298? y**3 - 100*y**2 + 5*y + 56 What is the d'th term of -138998, -139001, -139004, -139007? -3*d - 138995 What is the f'th term of 5854, 22934, 51400, 91252, 142490? 5693*f**2 + f + 160 What is the w'th term of 451, 525, 731, 1135, 1803, 2801, 4195? 11*w**3 - 3*w + 443 What is the r'th term of -384, -811, -1276, -1779, -2320, -2899? -19*r**2 - 370*r + 5 What is the w'th term of -223, -235, -23, 419, 1097, 2017? w**3 + 106*w**2 - 337*w + 7 What is the n'th term of 53, 688, 2417, 5786, 11341, 19628? 91*n**3 + n**2 - 5*n - 34 What is the r'th term of 1173, 2364, 3561, 4764, 5973, 7188, 8409? 3*r**2 + 1182*r - 12 What is the b'th term of 42214, 84272, 126328, 168382, 210434? -b**2 + 42061*b + 154 What is the t'th term of 124, 346, 652, 1036, 1492, 2014, 2596? -t**3 + 48*t**2 + 85*t - 8 What is the p'th term of 4621, 4646, 4709, 4828, 5021? 3*p**3 + p**2 + p + 4616 What is the l'th term of 80, 133, 166, 191, 220, 265, 338? 2*l**3 - 22*l**2 + 105*l - 5 What is the s'th term of -1671, -1674, -1703, -1770, -1887, -2066, -2319, -2658? -2*s**3 - s**2 + 14*s - 1682 What is the i'th term of -53935, -53931, -53927, -53923, -53919, -53915? 4*i - 53939 What is the c'th term of -15018, -15017, -15016, -15015, -15014, -15013? c - 15019 What is the s'th term of 61, 257, 589, 1057, 1661, 2401? 68*s**2 - 8*s + 1 What is the b'th term of -56610, -113224, -169838, -226452, -283066? -56614*b + 4 What is the x'th term of 20449, 20441, 20443, 20461, 20501, 20569, 20671, 20813? x**3 - x**2 - 12*x + 20461 What is the c'th term of -494, -930, -1366? -436*c - 58 What is the x'th term of -10937, -21850, -32741, -43610, -54457? 11*x**2 - 10946*x - 2 What is the v'th term of -90, 95, 602, 1593, 3230, 5675, 9090? 27*v**3 - v**2 - v - 115 What is the n'th term of -3209, -2656, -2103, -1550, -997? 553*n - 3762 What is the o'th term of 925, 3570, 7979, 14152? 882*o**2 - o + 44 What is the w'th term of -208, -854, -1918, -3388, -5252, -7498? 2*w**3 - 221*w**2 + 3*w + 8 What is the l'th term of -173, -356, -555, -776, -1025, -1308? -l**3 - 2*l**2 - 170*l What is the k'th term of 1308, 10347, 34878, 82647, 161400, 278883? 1291*k**3 + 2*k + 15 What is the h'th term of -9696, -9406, -9116? 290*h - 9986 What is the l'th term of 2937133, 2937130, 2937127, 2937124? -3*l + 2937136 What is the o'th term of -544, -2166, -4870, -8656, -13524, -19474, -26506? -541*o**2 + o - 4 What is the r'th term of -86, -609, -2020, -4763, -9282, -16021, -25424? -74*r**3 - 5*r - 7 What is the w'th term of 63619, 63616, 63613, 63610, 63607? -3*w + 63622 What is the c'th term of -5735, -11309, -16883? -5574*c - 161 What is the s'th term of 69, 163, 291, 459, 673, 939, 1263, 1651? s**3 + 11*s**2 + 54*s + 3 What is the n'th term of -4783, -4880, -4977, -5074, -5171, -5268? -97*n - 4686 What is the m'th term of -176, -733, -1674, -2999? -192*m**2 + 19*m - 3 What is the t'th term of 6987, 13973, 20959? 6986*t + 1 What is the k'th term of 4225, 8088, 11951, 15814, 19677, 23540? 3863*k + 362 What is the m'th term of -217698, -435396, -653094? -217698*m What is the k'th term of 2658, 5265, 7874, 10485? k**2 + 2604*k + 53 What is the g'th term of 52564, 52577, 52598, 52627, 52664? 4*g**2 + g + 52559 What is the o'th term of -629, -1363, -2123, -2921, -3769, -4679? -2*o**3 - o**2 - 717*o + 91 What is the a'th term of -165, -229, -319, -447, -625, -865, -1179, -1579? -2*a**3 - a**2 - 47*a - 115 What is the o'th term of 19804, 39603, 59402, 79201, 99000? 19799*o + 5 What is the w'th term of 71, 124, 189, 272, 379, 516, 689, 904? w**3 + 46*w + 24 What is the a'th term of 8166, 8759, 9352, 9945? 593*a + 7573 What is the n'th term of 27, 394, 1351, 3192, 6211, 10702, 16959? 49*n**3 + n**2 + 21*n - 44 What is the w'th term of -301, -511, -721, -931? -210*w - 91 What is the n'th term of 106, 354, 1018, 2302, 4410, 7546, 11914? 34*n**3 + 4*n**2 - 2*n + 70 What is the k'th term of -11204, -11335, -11466? -131*k - 11073 What is the m'th term of 244, 322, 400, 478? 78*m + 166 What is the u'th term of 50369, 100724, 151079? 50355*u + 14 What is the h'th term of 169467, 169457, 169429, 169377, 169295, 169177? -h**3 - 3*h**
{ "pile_set_name": "DM Mathematics" }
164 = 3*z, 0 = -l*z - 5*o + 212. What is the remainder when 107 is divided by z? 11 Suppose 7*g - 6*g = 57. Suppose -g*s - 396 = -61*s. Calculate the remainder when s is divided by 34/(0 - -2)*(53 + -52). 14 Suppose 22 = 3*v - 50. Let y(j) = -552*j - 782. Let l(t) = -19*t - 27. Let n(m) = -115*l(m) + 4*y(m). What is the remainder when n(-4) is divided by v? 21 Suppose 2932*r - 7242 = 2898*r. Calculate the remainder when r is divided by 95. 23 Let z(s) be the first derivative of -2*s**2 + 162*s + 184. Calculate the remainder when z(36) is divided by 4. 2 Suppose 101*i - 29 = 97*i + q, -4*q = -5*i + 50. Suppose a - 3 = 3. Suppose a*z - 156 = 2*z. What is the remainder when z is divided by i? 3 Let l(n) = -140*n - 4823. What is the remainder when 1347 is divided by l(-35)? 38 Let p be 8/(-6)*((-143)/52 + 2). Let g = -62 + 89. What is the remainder when ((-4)/(-16)*1)/(p/316) is divided by g? 25 Let r(a) = -2*a**3 - 5*a**2 + a - 9. Suppose -3*s - 5*j + 5 = 0, j + 2*j = 3. Suppose s = 3*u - 6 + 18. Calculate the remainder when r(u) is divided by 9. 8 Suppose -62*w = -63*w - 2*j + 269, 13*w - 3272 = -j. What is the remainder when 11545 is divided by w? 250 What is the remainder when 704 is divided by 127232/544 - (-4)/34? 2 Suppose 89 = -5*h + 919. Suppose 4*b - h = 118. Calculate the remainder when 203 is divided by b. 61 Let p(w) = 10 + 1348*w + 14 - w**2 + 2*w**2 - 1338*w. Let v be p(-6). Suppose m + 24 = -v*q + q, -q = 3*m - 24. What is the remainder when q is divided by 3? 0 Let p be 23/(-6) - (-375)/450. Calculate the remainder when p + 1/(-1) + 31 + -2 is divided by 16. 9 Let h = -2054 + 2069. Let q = 9 + -52. Let t = q + 86. Calculate the remainder when t is divided by h. 13 Suppose -1545*y - 1775 = -1550*y. Let x = 373 - y. Suppose 3*d - 50 - 88 = 0. What is the remainder when d is divided by x? 10 Let z(j) = j**3 - 12*j**2 - 14*j + 3. Let x be z(13). Calculate the remainder when 121 is divided by (615/75)/((-2)/x). 39 Let n = 42378 + -41636. What is the remainder when n is divided by 133? 77 Suppose -13*b = 1354 - 1796. Calculate the remainder when 2242 is divided by b. 32 Suppose 0 = x + 18. Let j = x - -28. What is the remainder when (-2)/(-10) - (-968)/j is divided by 25? 22 What is the remainder when 27 is divided by (100/10 - 11)*(-1 - 18)? 8 Let u(g) = 69*g - 3240. Calculate the remainder when u(56) is divided by 308. 8 Let l(s) = -142*s - 717. What is the remainder when l(-8) is divided by 60? 59 Let u = -1 + 1. Suppose 4*i - 264 - 8 = u. Let c = -298343 - -298367. Calculate the remainder when i is divided by c. 20 Calculate the remainder when 304 is divided by (3 - 88/24)/(-4 - 6870/(-1719)). 113 Suppose 2822 = 17*g - 645 + 832. Calculate the remainder when 533 is divided by g. 68 Let r = -52 - -217. Suppose 13 = -5*b - 2, -3*u - b + r = 0. Calculate the remainder when 105 is divided by u. 49 Let k(h) = -2*h + 20. Let g(c) = -c**2 - 14*c - 18. Let o be g(-13). What is the remainder when k(o) is divided by 34/2 - 6*(-30)/(-36)? 6 Suppose -22*f + 17*f + 2808 = -r, 4*r - 2818 = -5*f. What is the remainder when f is divided by 14? 2 Let t(u) = u**3 + 10*u**2 - 9*u - 4. Calculate the remainder when t(-8) is divided by -6*23/(-3) + 4. 46 Let v(h) = -h**3 + 6*h**2 - 7*h - 4. Let o be v(4). Suppose o = -5*p - w + 60, -3*w + 14 = 3*p + 2*w. What is the remainder when p is divided by 7? 6 Let i = -637 - -3255. Suppose 0 = -3*q + 4*r + 1566, -q + 4*r + i = 4*q. What is the remainder when q is divided by 31? 30 Suppose z + 4807 = 4*n, 35*n - 1199 = 34*n + 3*z. What is the remainder when n is divided by 56/3 - 18/27? 14 Let g be 4030/(-22) + 6/33. Let t = -157 - g. Calculate the remainder when 154 is divided by t. 24 Suppose -2627*d + 180 = -2624*d. What is the remainder when d is divided by 6? 0 Let j(d) = -d + 44. Let k be j(0). Suppose 19*u + 23*u - 84 = 0. Suppose q - u*q = r - k, -9 = 3*q. Calculate the remainder when r is divided by 13. 8 What is the remainder when 3/165*-33 - (-1 - 1413/5) is divided by 20? 3 Let f(p) = 2*p**3 - 18*p**2 - 39*p - 7. Calculate the remainder when (-2)/6 + (-550)/(-3) is divided by f(11). 39 Let j = -704 + 779. What is the remainder when 4199 is divided by j? 74 Let o(t) = 3*t + 104 + 12 + 5*t. Calculate the remainder when o(-13) is divided by (3/(-6))/((-1)/6). 0 Suppose -1071 = -2*u + h + 61, 5*h = -4*u + 2278. Calculate the remainder when u is divided by 68. 23 Let u = 97 - 92. Suppose -u*c - 2*i = -340, -5*c - 1 = -2*i - 321. What is the remainder when 329 is divided by c? 65 Let t(y) = -3*y + 5 + 21*y - 2. Suppose -q + 9*a = 7*a, 0 = -4*a + 8. What is the remainder when t(q) is divided by 19? 18 Let r(p) = p**2 - 3*p - 58. Let g be r(8). Let b(k) = k**2 + 15*k - 43. What is the remainder when 153 is divided by b(g)? 10 Suppose 4*s = -7*u + 5*u + 750, 2*s - 2*u - 384 = 0. What is the remainder when s is divided by 4? 1 Let p = -3803 + 3838. Suppose u - 9 + 0 = 0. Calculate the remainder when p is divided by u. 8 Suppose 4*l = 3*l - 5*s + 277, -4*l + 1076 = 4*s. What is the remainder when 742 is divided by l? 208 Calculate the remainder when (206/6)/((-1)/(-3)) is divided by (375/250)/(-3*(1 - 31/30)). 13 Let z = 3220 - 3210. Let m = -116 - -184. What is the remainder when m is divided by z? 8 Let l(k) = -3*k + 15. Suppose 0 = 6*x - 336 + 84. Suppose 3*t + x = -4*r + 12, -t + 16 = -3*r. Calculate the remainder when l(r) is divided by 7. 5 Suppose -f - 5 = -30. Let x(l) = -44 + 7*l + 28 + f + l. What is the remainder when x(5) is divided by 10? 9 Let s be 5 + 2 + -1 + (9 - 13). Suppose 0 = -z + s, 0 = -4*o + z - 3*z + 432. Calculate the remainder when o is divided by 19. 12 Suppose 10*s = 26*s + 16. Let h = 8 + 4. What is the remainder when s/4 + -2 + 370/8 is divided by h? 8 Let l(c) be the third derivative of 4*c**5/15 - 5*c**4/8 + 17*c**3/3 - c**2 - 171. Calculate the remainder when l(4) is divided by 58. 56 Suppose -x + 0*x = -25. Calculate the remainder when 11501/(-106)*7*4/(-98) is divided by x. 6 Let z(o) = 9*o**3 - 126*o**2 - 46*o + 67. Calculate the remainder when z(20) is divided by 125. 122 Let u(b) = -3*b**3 - 3*b**2 - 9*b - 34. What is the remainder when 466 is divided by u(-3)? 43 Let v = 63 - 40. Suppose 22*r - v*r = -96. Let t = r - 49. Calculate the remainder when t is divided by 8. 7 Calculate the remainder when (-1 - 99)*(-22 - (-777)/74) is divided by 30. 10 Let b be (-344)/(-72) - 4/(-18). Suppose 0 = -b*g + 10, -4*f - 2*g = 2*g - 88. Let m = -590 - -629. Calculate the remainder when m is divided by f. 19 Let x be -5 - 4 - 2/3*6. What is the remainder when 47 is divided by x/((-7)/(12 + -5))? 8 Suppose 0 = 135*c - 13973 - 36112. Calculate the remainder when c is divided by 106. 53 What is the remainder when 350 is divided by -11 + -6*32/(-6)? 14 Let x = -17607 + 18283. What is the remainder when x is divided by 242? 192 Let d(a) = 16*a**2. Let n be d(-2). Let q = n - 39. Calculate the remainder when 62/(-2)*68/(-17) is divided by q. 24 Let y(j) = j**3 + 19*j**2 + 4. Let x be y(-19). Suppose 8 = -x*r - 4. Calculate the remainder when 50 is divided by (8 - (2 + 1))*5 - r. 22 Let h be 24*(2 + 16/12). Calculate the remainder when 108 is divided by (-55)/2*(-64)/h. 20 What is the remainder when ((2 - (-28)/(-16)) + 1)/((-32)/(-74752)) is divided by 34? 30 Let h(m) be the third derivative of m**6/120 - 2*m**5/15 + 3*m**4/8 - m**3/2 - 11*m**2. What is the remainder when 25 is divided by h(7)? 3 Let x be 0 - (-238)/22 - 36/(-198). Let s(k) = k**3 - 9*k**2 - 22*k + 16. Calculate the remainder when 83 is divided by s(x). 3 Let a(i) = -53*i**3 + 6*i**2 + i + 52*i**3 - 4*i - 10. Let q(p) = p**2 + 1. Let v(n) = a(n) + 5*q(n). Calculate the remainder when v(4) is divided by 14. 11 Suppose 938 = 764*y + 765*y - 1522*y. Calculate the remainder when 688 is divided by y. 18 Let t = 5374 + -5343. Calculate the remainder when (-1)/(-3) - (-1292)/12 is divided by t. 15 What is the remainder when (27/2)/((-6)/(-328)) is divided by -5 + 216/18 + -11 + 23? 16 Let c(s) = 5*s**3 - s**2. Let k be c(1). Suppose 3*p = -p - k*f, p = -5*f - 4. Calculate the remainder when 9 is divided by 2/p - 2/(-4)*6. 4 Suppose 32*r = 2*m + 37*r - 29, 0 = -3*m + 4*r + 9. Suppose -3 - 21 = -3*x. Suppose 0 = 6*f - m*f + x. Wha
{ "pile_set_name": "DM Mathematics" }
+ 2 + 7)*(3*q - 2*q + 0*q) + (6 - 3 - 5)*(-35 + 16*q + 35)*(-2 - 3 + 6). -29*q Expand (a + a - 4*a)*(0 - 2 - 12) - 5 + 5 + a + 2*a + 1 - 1 + (-2 + 1 + 2)*(-a + 5*a - 2*a) - 2*a + 2*a - a + (6*a - 4*a + 0*a)*(1 - 3 + 4) - 1 + 2*a + 1. 38*a Expand (35*p**2 - 23*p**2 - p**3 - 23*p**2)*(p**2 - 3*p**2 + 7*p**2). -5*p**5 - 55*p**4 Expand (9 - 2 + 1)*(49*f**2 - f**2 + 57*f**2 + 22*f**2 - 5*f**2). 976*f**2 Expand (-1 + 1 - 3*s**2)*(-6*s + 14 - 14) + 2*s**3 + 2*s**3 - 13*s**3. 9*s**3 Expand (-2 + 4*i + 2)*(-3 - 2 - 3) - 4 - 2*i + 4 + 1 + 2*i - 1 + (-4 + 2 + 0)*(5*i + 2*i - 5*i). -36*i Expand -10*k - 12*k + 4*k + (2 + 2 - 2)*(-13 + 13 - 14*k) + 2*k - 1 + 1. -44*k Expand (-2 - 5 - 1)*(1 - 17*n - 1)*(2 - 2 + 1)*(-2 + 2 - n). -136*n**2 Expand (111 - 43 + 111 + 20)*(9*n**3 - 3*n**3 + 2*n**3). 1592*n**3 Expand ((-2*d + 0*d + 4*d)*(0 - 1 - 2) - 3*d + 3*d - 3*d)*(0 - 9 - 3). 108*d Expand (26*i + 14*i**2 - 26*i)*(0*i - 2*i + 4*i) + i**3 + 3*i**3 - 3*i**3. 29*i**3 Expand -y**3 - 2*y**5 + y**3 + (-2*y**5 - 3*y**5 + 0*y**5)*(-1 + 7 + 0) - 2*y**5 + 3*y**5 - 3*y**5 + (-y**4 - 2*y**4 + 2*y**4)*(0*y + 4*y + 0*y). -38*y**5 Expand -d - 3 + 3 - 2*d + 3 - 3 + (2 + 2 - 1)*(-4*d + 3*d - 3*d) + 0*d + d + d. -13*d Expand (x**2 - x**2 - x**2)*(-6 + 3 - 1)*(-4 + 3 + 4)*(-x**3 - 3*x**3 + 0*x**3). -48*x**5 Expand (0*w**3 + w**3 + w**3)*(3 - 2*w**2 - 3 + (-4*w + 2*w + w)*(3 - 3 + w) + w - w + w**2 - 6*w**2 - 440 + 4*w + 440). -16*w**5 + 8*w**4 Expand -15 + 13 - 1 + 42*o - 3*o**2 + o - 2*o**2 - o + (o**2 - o**2 + 2*o**2)*(-4 + 0 + 3). -7*o**2 + 42*o - 3 Expand (8 - 8 - 4*n)*(5 + 0 + 4). -36*n Expand (14*s**4 + 386*s - 386*s)*(-2 + 4 - 4) + 5*s**4 + 0*s**3 - 3*s**4 + 3*s**3. -26*s**4 + 3*s**3 Expand (-2*i + 0 + 0)*(2 + 2 - 2) + (2*i + 3*i - 2*i)*(0 - 6 + 3) + 10*i + 3 - 3. -3*i Expand (3 + 2*g**3 - 3)*(0*g + 0*g - 2*g) + 274 + 365 - 787 - 6*g**4. -10*g**4 - 148 Expand ((-1 + 3 - 3)*(-2*b + 2*b + 4*b**2) + 24*b**2 - 327 + 327)*(2*b - 2*b**2 - 2*b)*(-3 - 3 - 1). 280*b**4 Expand ((13 - 4 - 4)*(n + 2 - 2) + n + n + 3*n)*(-2 + 2 - 1). -10*n Expand (-2*l + 4*l - 3*l)*(-113 - 5*l + 113)*(-2*l**2 - 7 + l + 7). -10*l**4 + 5*l**3 Expand -254*d - 30*d - 170*d + (-2*d + d + 0*d)*(-4 + 11 + 1). -462*d Expand (-f - 2 - 1 - 3)*(40 + 33 - 41)*(-1 + 1 - 2*f). 64*f**2 + 384*f Expand (-148118 - 2998*s + 148118)*(5*s**2 - 3*s**2 - 3*s**2). 2998*s**3 Expand (i - i + 2*i**3)*(-55 - 23 + 39 - 189). -456*i**3 Expand (2*g - g + g)*(18 - 44 - 113 + (2 - 2 - 1)*(1 - 3 + 3) - 2 - 1 + 4)*(g**2 + 0*g**2 - 2*g**2). 278*g**3 Expand (-4*f**2 + 3*f**2 + 3*f**2)*(311 + 324 - 667)*(f**2 + 3*f**2 - 3*f**2). -64*f**4 Expand -7*a**2 + a - a + (1 + 1 - 4)*(-1 - a**2 + 1) + 3*a**2 - 3*a**2 - 3*a**2 + (-1 - 2 + 1)*(3*a**2 - 4*a**2 + 3*a**2) - a**2 - 17 + 17. -13*a**2 Expand (-13*i**2 + 2*i**3 + 13*i**2)*(-14*i**2 + 267 - 267). -28*i**5 Expand (-22*y - 8*y + 2*y)*(3*y + 0*y + 0*y)*(-y**2 + 0*y + 0*y). 84*y**4 Expand 46 - 46 - 4*k**3 + (-1 + 1 + 2*k)*(-2*k**2 - 3*k**2 + 2*k**2). -10*k**3 Expand (56*m + 78*m - 2*m)*(2*m + 7*m - 17*m). -1056*m**2 Expand (-2*g**3 - 5*g**4 + 12*g**4 + 4*g**3)*(20*g - 9*g - 6*g). 35*g**5 + 10*g**4 Expand (-2*a**2 + 210*a + 4*a**2 - 119*a**3 + 117*a**3)*(2*a + a - 2*a). -2*a**4 + 2*a**3 + 210*a**2 Expand 0*h**3 - 2*h**4 + 0*h**3 + (-8*h + 54*h + 52*h)*(4*h**3 - 3*h**3 + h**3) + 5*h**3 - 5*h**3 + 2*h**4 + (3*h**4 + h**4 - 3*h**4)*(6 - 3 - 1). 198*h**4 Expand (6 - 11 + 3*a - 5*a)*(-6 + 2 + 1) + (-1 + a + 1)*(-3 + 5 - 4). 4*a + 15 Expand (7 - 1 - 7)*(-8*y**2 + 5*y**2 + 1 + 5*y**2)*(2*y**3 + y**2 - y**2). -4*y**5 - 2*y**3 Expand (2*r**2 + 2*r**2 - 2*r**2 - 17 + 2*r - r**2 + 17 + (-1 + 1 + 2*r**2)*(0 - 2 + 0))*(33*r - 5*r + 29*r). -171*r**3 + 114*r**2 Expand 81*j**3 - j**2 - 65*j**3 - 63*j**3 + (4 + 2*j**2 - 4)*(3*j + 2*j - 6*j) + 3*j**3 + j**3 - 3*j**3. -48*j**3 - j**2 Expand (-7*x + 5*x**3 + 7*x + (-4*x + 9*x + 5*x)*(2*x**2 - x**2 + x**2))*(15 - 15 + 8*x). 200*x**4 Expand (-60 - 12*o**2 + 6*o**2 + 5*o**2)*(2*o**2 - 2*o**2 - 5*o**2). 5*o**4 + 300*o**2 Expand -3*n**3 + 3*n**3 - n**3 + (-72 + 50 - 26)*(-n + 6*n - 6*n)*(-4*n**2 - n**2 + 4*n**2). -49*n**3 Expand ((3*h - 2*h - 3*h)*(6 - 2 - 2) - h + 3*h - h + h + 1 - 1 + (h - 2 + 2)*(0 + 4 - 5))*(20*h**2 + 18*h**2 - 1 + 5*h - 39*h**2). 3*h**3 - 15*h**2 + 3*h Expand -3*t + 1 + 2*t - 2*t + (1 - 1 + 2)*(-2*t - 8*t + t) - 2 + 2*t + 2. -19*t + 1 Expand -3*k**2 + 5*k**2 + 0*k**2 + (-k + 0*k + 3*k)*(0 + 0 - 3*k) + 14*k + 4 + 2*k**2 - 4*k - 17*k. -2*k**2 - 7*k + 4 Expand -v**4 + 2*v**5 + v**4 + (3*v - 3*v - 2*v)*(0*v**4 - v**4 + 2*v**4) + 2*v**5 + 2*v**5 - 5*v**5 + (-v - 2*v + v)*(-72*v**4 + 2446*v - 2446*v). 143*v**5 Expand 2*b**3 + b**3 + b**3 + 0*b + 0*b + 2*b**3 + (4*b**2 - 3*b**2 + 3*b**2)*(3*b + 0*b - b) + 3*b**3 - b**3 - b**3 + 5*b - 8*b**3 - 5*b. 7*b**3 Expand -4*j**5 + 5*j**5 + 5*j**5 + (3*j**3 - 3*j**3 - j**4)*(4*j - 3*j - 2*j) + 13*j**5 + 4*j**5 + 7*j**5. 31*j**5 Expand -23*w - 11*w + 2*w - 1 + 2*w + 1 + (-3*w + 0*w + 5*w)*(-1 + 5 - 3) + w + 2*w - 2*w + (-w + 6*w - 3*w)*(3 - 4 - 1) + (-2 + 2 - 2)*(0*w - 2*w + 0*w). -27*w Expand (3*q - 4*q + 10*q + (0 + 1 - 3)*(-3*q - 4*q + 5*q) + 2 + 3*q - 2)*(2 - 4*q**2 - 2). -64*q**3 Expand (7*z + z + z)*(-15*z + 15*z + 2*z**2). 18*z**3 Expand 36*g**3 + 17*g**3 - 19*g**3 + (-2*g**2 + g**2 + 3*g**2)*(4 - 4 + g) + g**2 - g**3 - 2*g**3 + 4*g**3. 37*g**3 + g**2 Expand 19*r**3 - 17*r**3 - 53*r**3 + (5*r**3 + r**3 - 4*r**3)*(9 + 2 + 1). -27*r**3 Expand (-2*k + 2*k + 2*k)*(1783 + 1785 - 3568 + 1375*k). 2750*k**2 Expand -o**5 - 16 + 3*o**5 + 12 + (-3*o**2 + 2*o**2 + 2*o**2)*(-2*o**3 + o**3 + 2*o**3 + (o**2 + 2*o**2 - o**2)*(3*o - 3*o + o) - 4*o**3 + 6*o**3 - 3*o**3). 4*o**5 - 4 Expand (2*j**2 - 6*j + 6*j)*(-3 + 2 + 0) - 65 - 30*j**2 + 65. -32*j**2 Expand (3*n + n - 5*n)*(0 - 2*n + 0) + n**2 + 2 - 2 + (5 - 5 + 2)*(-745 - 175*n**2 + 745). -347*n**2 Expand (0 - 2*s**3 + 0)*(362*s**2 - 723*s**2 + 362*s**2). -2*s**5 Expand (6*n + 3*n - 4*n)*(-1 + 1 + 2*n) - 4*n**2 + 8 - 8. 6*n**2 Expand -1072*a**4 + 485*a**4 + 462*a**4 + (-2*a + 3 - 3)*(a**3 + 0 + 0). -127*a**4 Expand 2*t**4 + 7*t**4 - 3*t**4 - 4*t**4 - 12*t**2 + 12*t**2 - 2*t + t**4 + 2*t - 2*t**4 + t**3 - t**3 + (-3*t + 0*t + t)*(2*t**3 + t - t). -3*t**4 Expand -3*y**2 - 3*y**2 + 4*y**2 + 311 - 311 + 32*y**2 + (2*y - 2*y + y)*(0*y - y + 2*y). 31*y**2 Expand 10*r**3 + r**3 + 18*r**2 - 12*r**2 + (-r**2 + r**2 - r**2)*(3*r - 4*r + 3*r) + 3*r**3 - 2*r**3 + 0*r**3. 10*r**3 + 6*r**2 Expand (2*m - 2*m - m**2)*(-2*m + 2*m + 2*m) + (5*m - 3*m - 3*m)*(1 - 1 - 2*m**2) - m**3 - m**3 + 3*m**3. m**3 Expand (-6 - 36 + 0)*(3*a + a - 7*a). 126*a Expand (-4*x + x + x + (2 - 6 + 1)*(-2*x + 5*x - 2*x))*(3 - 4 - 12) + 3*x - 2*x - 2*x. 64*x Expand ((-2*o**2 - 3*o**2 + 6*o**2)*(-1 - 3 + 2) + o**2 + o**2 - o**2)*(20*o + 24*o + 14*o). -58*o**3 Expand (-4*a**2 + 4*a**2 - 2*a**3)*(-2*a + 2*a - a + (33 - 10 - 53)*(0*a - a + 3*a)). 122*a**4 Expand (4 - 1 - 2*u + 4*u)*(2 - 2 + 3) + (3*u + u + 0*u)*(2 - 2 + 2). 14*u + 9 Expand (2*a - 5*a - a)*(35 + 11 - 6)*(-7*a**2 + 3*a**4 + 7*a**2). -480*a**5 Expand (2*g - g + g)*(-2*g**3 + 2*g**3 - g**3) - 2*g**4 - 2*g**4 + 8*g**4 + 0 + 0 + 9*g**4 + 6*g**4 + 7*g**4 + 3*g**4. 27*g**4 Expand (-6 + 6 + 2*x)*(2 + 2 - 3)*(8 + 1 + 3) + (0 + 1 + 0)*(-2*x - 6 + 4*x - 4*x). 22*x - 6 Expand (1 - 2 + 2)*(2 - 2 + 3)*(2*n - 2*n - 2*n**2 + (5 - 5 - 2*n)*(-11*n + 939 - 939)). 60*n**2 Expand (3*r**4 + 3*r - 3*r)*(13 + 54 + 8). 225*r**4 Expand (-9 - 3 - 14)*(-6*l**2 - 4*l**3 + 3*l**3 + 5*l**3). -104*l**3 + 156*l**2 Expand (-4 + 0*m**2 - 5 - 2*m**2)*(0*m + 0*m + m)*(-m - 5*m + m). 10*m**4 + 45*m**2 Expand 33*u**4 - 413*u**2 + 24*u**4 + 414*u**2 + (-3*u**3 + u**3 + 0*u**3)*(0 + 0 - 2*u). 61*u**4 + u**2 Expand (-p + 4*p - p)*((-2*p**2 + 2*p**2 - 4*p**2)*(6*p - 3*p - 4*p) + 2*p**3 + 6*p**3 - 5*p**3). 14*p**4 Expand (-231 + 165*j**2 + 231)*(-2*j + 4*j - 3*j) + 2*j**3 - j**3 + j**3. -163*j**3 Expand 10*b**3 - 5*b**3 + 3*b**2 - 6*b**3 - 2 - b**3 + 0*b**3 + 2*b**3 + (b + 2 - 2)*(-b**2 + b**2 - 2*b**2) + 3*b**3 - b**3 + 8*b**3. 8*b**3 + 3*b**2 - 2 Expand (3915*h**2 - 27*h**3 - 3915*h**2)*(3 - 3 - 1 + (6 - 4 + 0)*(-5 + 6 + 1) - 3 + 1 + 0). -27*h**3 Expand (1318*p - 1318*p - 8*p**4 - 11)*(2*p + 2*p - 2*p). -16*p**5 - 22*p Expand (8*m - 4*m + m)*(-m**2 + 3*m**2 - 4*m**2)*(-6 + 12 - 2). -40*m**3 Ex
{ "pile_set_name": "DM Mathematics" }
b) 2/9 (c) 3/5 (d) -5 (e) 5 e Which is the closest to -0.8? (a) -12 (b) 1/6 (c) -126 (d) 0.1 d What is the nearest to -0.1 in 4, 72687, 23? 4 Which is the closest to 1/4? (a) 5 (b) 4/35 (c) -13 (d) 0.2 (e) -0.9 (f) -10/7 d What is the nearest to -0.17 in 112, -5, 2/13, 2, -3? 2/13 What is the closest to -0.7 in 0, 5/39, -392? 0 Which is the closest to -1/2? (a) -31134 (b) 3 (c) -0.2 (d) 10 (e) 0.07 (f) -2/3 f Which is the nearest to -4/7? (a) -2/39 (b) -1/2 (c) -9 (d) 1/5 (e) 6 b What is the closest to -2/7 in -2, 5/6, -1746.105? 5/6 Which is the nearest to 16.09? (a) -2/3 (b) -3859 (c) -0.3 c What is the closest to -0.1 in -0.18, -6/5, 142, 3, 0.2? -0.18 What is the nearest to 0.2 in -3.3519, 21, -2? -2 Which is the nearest to -1? (a) -1/331554 (b) 2 (c) -2 a Which is the closest to -0.1? (a) -1/9 (b) 2/77 (c) 188 (d) 8/17 (e) 0.4 a What is the nearest to 4 in -0.0063, -14.4, 70? -0.0063 Which is the closest to 0.3? (a) 667.1 (b) -71 (c) 3 (d) 2/3 d Which is the nearest to 0? (a) 1067.2 (b) 11 (c) 2 (d) 3 (e) -1/29 (f) -0.1 e What is the nearest to -2 in -1/2, -2058, 51, 7? -1/2 Which is the closest to -19.5? (a) -12 (b) -3 (c) -296 (d) 2 (e) 1/2 a What is the nearest to -1/2 in 0.3, 0.09, -12019, 3, -3? 0.09 What is the nearest to 0.1 in -5, 4, -1, 1109.66? -1 Which is the closest to -2/9? (a) 1/4 (b) 0.2 (c) 6.6 (d) -49 b Which is the nearest to -2.59? (a) 1 (b) -3 (c) 3019 b What is the closest to -0.0513 in -0.1, -7, -0.039? -0.039 What is the closest to -2.8 in 2/5, 0.3514, 0, 0.3, -0.5? -0.5 What is the nearest to -6.84 in -0.07, -0.5, 0, 6.8, 3? -0.5 What is the closest to -0.1 in 4.51, -1/2, 1, 8, 928? -1/2 What is the closest to 4534.1 in -5, 2/7, -0.09? 2/7 What is the nearest to -6272 in 0.5, -5/12, -41? -41 What is the nearest to -0.04 in -0.08, -14, -1/488? -1/488 Which is the nearest to -0.2? (a) 34 (b) 5 (c) -204 (d) -0.2 (e) 5/3 (f) -23.2 d Which is the closest to -157? (a) 35 (b) -4/5 (c) 1.3 (d) -4 (e) -1 d Which is the nearest to -1.58? (a) -0.36 (b) 0 (c) -6/5 (d) 2 c Which is the nearest to -11? (a) -29.6 (b) -7296 (c) -3 c What is the closest to 2/53 in 0.4, -2, 5, -2/11, 50/7? -2/11 Which is the closest to -1389? (a) -2 (b) -1 (c) 2/13 (d) 10 a What is the closest to -211 in 0.5, -122, 4, -1/5? -122 Which is the closest to -0.1? (a) -2/461 (b) -0.4 (c) -2/13 (d) -2/3 (e) -2/11 (f) 152 c What is the nearest to 1965 in -3/7, -1169, -0.2? -0.2 What is the closest to -1.4 in -380, -0.6, -1? -1 Which is the nearest to -3? (a) -0.0097 (b) 3 (c) 494 (d) 1/4 a What is the closest to -54 in -1570, 3/5, 12? 3/5 Which is the closest to 2177? (a) -1 (b) 18 (c) 3 (d) -1/4 (e) -75 (f) 4 b Which is the nearest to -2/3? (a) -1/4 (b) -2/5 (c) -53475/7 (d) -1.79 b Which is the closest to 0.1? (a) 1 (b) -0.00738 (c) 0.1 (d) 3 (e) -11 c Which is the closest to 0.7? (a) 4 (b) 26 (c) -4985 a Which is the nearest to -637? (a) -3 (b) 1/10 (c) -22 c What is the closest to -0.8 in -2, 5/6, 0.208, -1, 269? -1 Which is the closest to 0? (a) -0.3 (b) -1/295 (c) 5 (d) 2/757 d What is the nearest to -129 in -0.2, 296, -0.7, -5, -0.01? -5 What is the nearest to -75 in -107.6, 2/17, -3, 7? -107.6 Which is the closest to 1/4? (a) 2/7 (b) 11 (c) 2/15 (d) 0 (e) 25782/11 a Which is the closest to -86? (a) 0.5 (b) -12 (c) 6 (d) -1/3 (e) 0 (f) 0.4 b What is the closest to -1/12 in 0.2, 45.89, 159, 0.04? 0.04 Which is the closest to 0.89? (a) 3 (b) -2 (c) 0.1 (d) 7/2 (e) -1/9 c What is the nearest to -3 in 0.2, 0.3, 864/5, 114? 0.2 What is the closest to 1 in -132, -1/2, -606, 5, -0.2? -0.2 What is the nearest to 1 in 2, -896, -0.3, -5, 4/61? 4/61 Which is the nearest to 4? (a) -700 (b) 0.801 (c) 1 c Which is the nearest to -16? (a) -3923 (b) 3 (c) 15 (d) 0 (e) 2 d Which is the closest to 1? (a) 22.78 (b) 19/2 (c) 1/13 (d) -4 (e) 1 e What is the closest to -2/3 in 46, 3, -4, 18/35? 18/35 What is the closest to 3/2 in -0.2, 4, -3, -0.03, -1978.1? -0.03 What is the closest to -0.0242 in -2/15, -0.04, -0.3, 30, 1/5? -0.04 What is the closest to 1/3 in -2, -1/75537, -10, 1/10, -0.07? 1/10 Which is the nearest to 2? (a) -0.01 (b) -3 (c) 43 (d) 4/19 (e) -1/5 d Which is the closest to -1? (a) -0.2 (b) 9 (c) 834/5 (d) 1 (e) -5 a What is the nearest to 1/3 in -27, 1, 88.5, 2/27, -73? 2/27 What is the nearest to -0.1 in 2, 0.3, -8363, 2/25, -5/3, 1/11? 2/25 Which is the closest to -7/1002? (a) 0 (b) 3 (c) 1 (d) 0.4 (e) -8 a What is the closest to -28 in 5, 3, -8876/5? 3 Which is the closest to -142.56? (a) -34 (b) 4 (c) -8 (d) -3 a What is the closest to 0.13135 in -0.1, 0.04, 2? 0.04 What is the closest to -202.478 in 1/6, -2/9, -1, -4? -4 Which is the nearest to 0? (a) -5 (b) -58778 (c) 7/19 c Which is the nearest to -40/9? (a) 3.2 (b) -1/157 (c) 2.1 (d) 3 b What is the nearest to 196/11 in 0.1, 45, -2, 1/5, -5? 1/5 Which is the nearest to -1? (a) -7/25 (b) 2429 (c) -0.19 (d) 3 a Which is the closest to -0.15? (a) -2 (b) 7 (c) 2/45 c What is the closest to 38 in -0.1, -3, -24, 182/3, -0.4? 182/3 Which is the closest to -1.51? (a) 3 (b) 4 (c) 166863 a What is the nearest to 13189 in 4/9, 1/4, 0.1? 4/9 Which is the closest to 192072? (a) -18 (b) -3/7 (c) 3 c What is the closest to -0.71 in 882, -8, -2/11, 6/11? -2/11 Which is the closest to 90? (a) 6 (b) 0.2 (c) 0.0561 a What is the closest to -0.1 in 0.1, 1/31, 3/271, 5, 8? 3/271 Which is the nearest to -3/74? (a) -5 (b) 0.3 (c) 2/11 (d) -4 (e) 1 c What is the nearest to 0.2 in 12/409, -3, -547, -88? 12/409 Which is the closest to 1? (a) -5 (b) 0.02 (c) 567 (d) -1 (e) -28 b Which is the closest to 0.74? (a) 2.7 (b) 10 (c) -2/17 c Which is the closest to -1/4? (a) 4 (b) -45/2023 (c) -2/5 c Which is the nearest to 1? (a) -13 (b) 3 (c) -11/138 (d) -2 c What is the closest to -0.2 in 3, 1/4, 988, -0.5, 0.06? 0.06 What is the nearest to 61 in 0.171, -2/5, -1316? 0.171 What is the closest to 86 in 46/21, -1, 2? 46/21 Which is the nearest to -181? (a) -5 (b) -4/5 (c) -0.4 (d) 239 a What is the closest to 3342 in -3/4, -1/5, 37/7? 37/7 Which is the nearest to -7? (a) 66/17 (b) -2/235 (c) -0.2 c What is the closest to 0 in -24268, 33, -0.2? -0.2 Which is the closest to 1? (a) -7 (b) -26 (c) 1/6 (d) -0.06 (e) -224 c Which is the closest to 1? (a) -172 (b) 1/5 (c) 1/13 (d) -9/7 (e) -0.4 (f) 8/5 f What is the nearest to -1046/89 in -3/5, -0.26, 3? -3/5 What is the closest to 7/2099 in 2, -0.4, 1, 5? -0.4 Which is the closest to -8/205? (a) 18.4 (b) 1.9 (c) 0.1 (d) -7 c Which is the closest to -5/2147? (a) -2.4 (b) -4 (c) -1 c What is the closest to -12 in 3/8, -3, -1, 1/18, 1.1? -3 Which is the closest to 8416/53? (a) 0.5 (b) 1/15 (c) -1/5 a Which is the closest to 2? (a) -7 (b) 2/19 (c) 6/25 (d) 2 (e) -397 (f) -1/3 d Which is the nearest to 2? (a) -3 (b) -1/2 (c) -73/8 (d) 114/5 b What is the closest to 2/9 in 263638, -0.1, -2? -0.1 Which is the closest to -0.9? (a) 0.1 (b) 1/4 (c) -3 (d) 4 (e) 10/81 a What is the nearest to 1.29 in 528, 0.3, -1/6, -0.4? 0.3 Which is the nearest to -9? (a) 0.1 (b) 0.5 (c) 1 (d) -2 (e) -792.9 d What is the nearest to -0.7 in -0.2, 24/3835, 2? -0.2 Which is the closest to 7? (a) -2/11 (b) -1/28 (c) 0 (d) 3716 c What is the nearest to 0 in -52, -1, 11/5, -2.582? -1 Which is the nearest to -1? (a) -2/45 (b) -3 (c) -0.1 (d) 4/11 (e) -128 (f) 4/19 c What is the nearest to -18/55 in 2/11, 0.3, -2/31, 2/31? -2/31 Which is the nearest to 1/4? (a) 0.4 (b) -0.35 (c) 16 (d) 3 (e) 2/73 a What is the nearest to 2105 in -1/5, -3, 4, -3/22, -4, 1/9? 4 Which is the nearest to 116? (a) -0.1 (b) -4 (c) -614 (d) 4 d Which is the closest to 1? (a) 436/289 (b) -0.2 (c) 1 (d) 1/3 c Which is the closest to -31? (a) 2/137 (b) -0.5 (c) 774 b What is the nearest to -0.091 in -0.5, 4/35, -4, -3/151? -3/151 What is the closest to -1/4 in -1/5, -114, -6, 1/34, 1, 0.06? -1/5 What is the nearest to 0 in 0.4, -0.1, -544, -1/4, 2/3? -0.1 What is the nearest to -67 in 2, -0.03, 240, 3, -0.2? -0.2 What is the nearest to 1 in 2, 7151, 2/7, -3, -7/2? 2/7
{ "pile_set_name": "DM Mathematics" }
vided by 38 238/19 7 divided by 18 7/18 Calculate -2320 divided by -5. 464 Calculate -1 divided by 2. -1/2 Calculate 1272 divided by -2. -636 Divide 196 by -6. -98/3 What is 2545 divided by -5? -509 -11 divided by -21 11/21 Divide 516 by 3. 172 Calculate 1 divided by 424. 1/424 -81 divided by -3 27 Calculate -4753 divided by 679. -7 -5 divided by -16 5/16 Calculate -69 divided by 253. -3/11 561 divided by 3 187 Divide -3051 by 3. -1017 What is 33024 divided by -6? -5504 Divide -4405 by 1. -4405 Divide 1020 by 4. 255 Divide 4 by -5052. -1/1263 Divide 14 by -4. -7/2 What is 0 divided by 2510? 0 -169 divided by -6 169/6 6900 divided by -1725 -4 Divide -76 by -19. 4 Calculate 613 divided by -4. -613/4 0 divided by 130 0 Calculate 102 divided by -51. -2 What is 450 divided by -1? -450 What is -9150 divided by -6? 1525 Calculate -2643 divided by -3. 881 What is -1 divided by 50? -1/50 What is -372 divided by 3? -124 -3 divided by -205 3/205 Divide -571 by -6. 571/6 Divide -3570 by 7. -510 What is 180 divided by -3? -60 -20032 divided by 2504 -8 0 divided by -251 0 Calculate -1162 divided by 581. -2 Calculate 12152 divided by 217. 56 -5 divided by 1341 -5/1341 Divide 462 by 33. 14 Divide -532 by 22. -266/11 5 divided by 136 5/136 -1 divided by 211 -1/211 What is -44 divided by 22? -2 Calculate -338 divided by -2. 169 Divide 538 by 538. 1 -339 divided by -2 339/2 23 divided by -23 -1 What is 12 divided by 17? 12/17 Divide 3065 by 5. 613 -14934 divided by -131 114 What is 93 divided by -31? -3 Calculate -569 divided by -4. 569/4 -5 divided by -202 5/202 Divide 1 by -55. -1/55 -3332 divided by 4 -833 What is -11340 divided by 5? -2268 Divide -55 by -5. 11 Calculate 6 divided by -765. -2/255 Divide 2419 by 2. 2419/2 Divide -2 by 1290. -1/645 What is 98 divided by -49? -2 What is 4224 divided by 4? 1056 Divide -8667 by -3. 2889 Calculate -10 divided by -1278. 5/639 What is 3454 divided by 1? 3454 2 divided by -4873 -2/4873 What is -98 divided by 98? -1 -120 divided by -3 40 What is 0 divided by 138? 0 Calculate -3208 divided by -5. 3208/5 Divide -5784 by -3. 1928 -16 divided by 314 -8/157 Calculate 17 divided by 56. 17/56 6003 divided by 2 6003/2 Divide -3 by 1480. -3/1480 What is 3 divided by -64? -3/64 What is -5 divided by 26? -5/26 Divide -16 by -30. 8/15 Calculate -54 divided by -18. 3 Calculate -29 divided by 29. -1 Divide 14973 by 3. 4991 Divide 334 by 167. 2 Divide 19860 by 3. 6620 1471 divided by -3 -1471/3 Calculate 912 divided by -6. -152 What is 6424 divided by -146? -44 0 divided by 29 0 Divide 824 by -2. -412 Calculate 368 divided by -1. -368 Divide 2352 by 784. 3 -16 divided by 1052 -4/263 Calculate 350 divided by 7. 50 Calculate -9395 divided by 2. -9395/2 What is -272 divided by -6? 136/3 Calculate -304 divided by -2. 152 -326 divided by 326 -1 What is 4 divided by -39? -4/39 Divide 207 by 23. 9 Calculate 6 divided by 2352. 1/392 Calculate 2 divided by -549. -2/549 3 divided by -15 -1/5 Calculate -2094 divided by -698. 3 -288 divided by 3 -96 What is -3008 divided by 752? -4 Divide -136 by 34. -4 Divide -156 by -78. 2 -232 divided by 232 -1 Divide -132 by -12. 11 Calculate -210 divided by -6. 35 What is 3253 divided by -3253? -1 Divide 81849 by -3. -27283 2 divided by 732 1/366 Calculate 996 divided by 2. 498 Divide -340 by -85. 4 Calculate -11914 divided by 259. -46 What is -15 divided by 2? -15/2 Calculate 3 divided by -1070. -3/1070 Divide 0 by -37. 0 Divide 126 by 18. 7 What is -16951 divided by -1? 16951 Divide -124 by -30. 62/15 5 divided by 67 5/67 Calculate -312 divided by -1. 312 1 divided by -96 -1/96 Divide -4 by -54. 2/27 Divide -15 by 3. -5 Calculate -868 divided by 217. -4 -130 divided by -5 26 What is 840 divided by 6? 140 Calculate -1 divided by -697. 1/697 Calculate 31074 divided by -6. -5179 Calculate -7992 divided by -3. 2664 Calculate 17960 divided by -5. -3592 Divide -27 by -158. 27/158 Calculate 30 divided by -6. -5 What is -2781 divided by 27? -103 40 divided by -20 -2 Divide 2076 by -3. -692 Calculate -3570 divided by -6. 595 543 divided by 2 543/2 Calculate 1448 divided by -724. -2 1800 divided by -60 -30 What is -31750 divided by -6350? 5 Divide 1254 by 22. 57 Divide -59 by -40. 59/40 10096 divided by -4 -2524 What is 2 divided by -345? -2/345 Calculate -16 divided by 4. -4 Calculate 9223 divided by 23. 401 Divide -12 by -3. 4 3732 divided by -2 -1866 240 divided by 4 60 -368 divided by -92 4 Divide 444 by 111. 4 Divide 320 by -4. -80 What is -89 divided by -1? 89 -5 divided by -4 5/4 863 divided by -3 -863/3 15 divided by -46 -15/46 What is -1077 divided by -6? 359/2 -856 divided by 2 -428 26 divided by -5 -26/5 Divide -72 by 18. -4 What is 18 divided by 2? 9 Divide -2688 by -3. 896 Divide -344 by -3. 344/3 What is 440 divided by -110? -4 What is 2 divided by 23? 2/23 -377 divided by 29 -13 Calculate -9477 divided by -5. 9477/5 What is 122 divided by -5? -122/5 Calculate 0 divided by 87. 0 7 divided by 7 1 Divide -276 by -69. 4 What is -160 divided by 5? -32 Divide 175 by -35. -5 Divide 0 by 183. 0 -69 divided by 16 -69/16 7440 divided by 4 1860 Calculate -4 divided by 39. -4/39 Calculate 741 divided by 57. 13 Divide -700 by -35. 20 Divide 0 by 252. 0 148 divided by 12 37/3 -4068 divided by -12 339 What is -3 divided by -738? 1/246 5 divided by -156 -5/156 What is 170 divided by 4? 85/2 Divide -990 by 90. -11 Calculate 3 divided by 798. 1/266 Calculate 623 divided by -4. -623/4 What is -288 divided by 2? -144 Calculate 125 divided by 5. 25 What is 222 divided by 1? 222 What is -22374 divided by 1243? -18 -9 divided by -132 3/44 Calculate 14925 divided by -5. -2985 What is 3 divided by 204? 1/68 Divide -716 by -1. 716 What is -532 divided by -3? 532/3 -9 divided by -4 9/4 Calculate -8081 divided by -1. 8081 -401 divided by 6 -401/6 Divide 968 by -242. -4 What is 0 divided by -39? 0 What is -4335 divided by -51? 85 What is -1357 divided by 2? -1357/2 What is 11 divided by -104? -11/104 Divide -834 by 2. -417 Divide 2 by -97. -2/97 Divide 417 by 12. 139/4 4915 divided by -983 -5 4768 divided by 149 32 What is -81 divided by 81? -1 What is -5 divided by 388? -5/388 2 divided by -6 -1/3 1074 divided by 537 2 -19 divided by 31 -19/31 Calculate 4 divided by 29. 4/29 What is -12250 divided by 2450? -5 Calculate -3 divided by -24. 1/8 102 divided by 64 51/32 What is -22899 divided by -449? 51 -56 divided by 13 -56/13 -4935 divided by 987 -5 What is -3366 divided by 187? -18 Divide -302 by -3. 302/3 What is -9444 divided by 2361? -4 Calculate -1 divided by -416. 1/416 What is 291 divided by -1? -291 -215 divided by 7 -215/7 What is 415 divided by -415? -1 Divide 143 by -16. -143/16 What is 6 divided by -42? -1/7 Divide -3 by -2365. 3/2365 Calculate -97 divided by 7. -97/7 Calculate 528 divided by -23. -528/23 -61 divided by -5 61/5 Calculate 594 divided by 54. 11 Divide 8272 by 4136. 2 What is -56265 divided by -5? 11253 Divide -4 by -125. 4/125 What is 170 divided by -34? -5 Divide 4 by -42. -2/21 -2086 divided by 6 -1043/3 What is 14 divided by -30? -7/15 Divide -13 by -553. 13/553 Calculate 4 divided by 104. 1/26 -30919 divided by 1 -30919 Calculate -13046 divided by 593. -22 0 divided by 1395 0 2382 divided by -1191 -2 Calculate 2647 divided by 2647. 1 -151 divided by 1 -151 Calculate 1848 divided by 168. 11 -3 divided by 44 -3/44 -693 divided by 21 -33 What is 924 divided by -231? -4 616 divided by 13 616/13 Divide 238 by 6. 119/3 Divide -7140 by 5. -1428 Divide 82 by 41. 2 Divide 1420 by 71. 20 Divide 56 by 14. 4 -4206 divided by 2 -2103 What is -860 divided by 430? -2 Divide 6 by 197. 6/197 What is -5248 divided by 2? -2624 Divide -1 by -760. 1/760 -406 divided by 17 -406/17 What is -394 divided by -2? 197 Divide -21 by 3. -7 Calculate -171 divided by -57. 3 22 divided by 2 11 Calculate -1 divided by -1677. 1/1677 3 divided by -100 -3/100 2 divided by -2 -1 23976 divided by -6 -3996 Calculate -4 divided by -61. 4/61 What is 386 divided by 193? 2 Calculate 1 divided by 514. 1/514 Divide 5 by 46. 5/46 Calculate 580 divided by -29. -20 Calculate 0 divided by 379. 0 0 divided by -707 0 38440 divided by -1 -38440 Calculate -46 divided by 3. -46/3 Calculate -15 divided by 3. -5 -3198 divided by -123 26 Divide -5 by
{ "pile_set_name": "DM Mathematics" }