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-15, -4, -3, 5 Sort 1, 1/2, 0, -1 in decreasing order. 1, 1/2, 0, -1 Sort -3, -4, 8, -5 in descending order. 8, -3, -4, -5 Sort -5, 2, 981. -5, 2, 981 Sort -0.09, -2, 1, 34 in decreasing order. 34, 1, -0.09, -2 Put -3, 0, -1145 in descending order. 0, -3, -1145 Put 109, 0.06, 1 in descending order. 109, 1, 0.06 Put 5, -10, 10 in descending order. 10, 5, -10 Sort -2.65, 3, 4. -2.65, 3, 4 Put -3/2, 5, 18, -0.3 in increasing order. -3/2, -0.3, 5, 18 Sort -5, 11, -2, 0.2 in ascending order. -5, -2, 0.2, 11 Sort 5, 0, -0.11, -2 in decreasing order. 5, 0, -0.11, -2 Sort -11, -0.4, 2, 3, 119 in descending order. 119, 3, 2, -0.4, -11 Sort -4, -14, -19, -5, 5 in decreasing order. 5, -4, -5, -14, -19 Sort -10, 0.3, -3/4 in increasing order. -10, -3/4, 0.3 Put 1, -0.2, -7/3 in ascending order. -7/3, -0.2, 1 Sort -0.1, 15, -0.5, -1 in ascending order. -1, -0.5, -0.1, 15 Put 0, 19, 6, 2, 1 in ascending order. 0, 1, 2, 6, 19 Put -4, -183, -5 in descending order. -4, -5, -183 Put 0, -4, -37, -1, 20 in decreasing order. 20, 0, -1, -4, -37 Put -5, -3, 0.1 in descending order. 0.1, -3, -5 Sort 1864, 1/2, 5. 1/2, 5, 1864 Sort 3, -283, 8. -283, 3, 8 Put -1, -3/8, -1.39 in descending order. -3/8, -1, -1.39 Put 8, 3, 4, -36 in increasing order. -36, 3, 4, 8 Sort 4, 95, -1 in ascending order. -1, 4, 95 Sort 1/3, -2, 1, -0.4 in decreasing order. 1, 1/3, -0.4, -2 Put -3, 0, -5, -6, -87 in increasing order. -87, -6, -5, -3, 0 Sort 0, -0.1, -2, 2/3. -2, -0.1, 0, 2/3 Sort 39, -4, -5, -2, -6 in descending order. 39, -2, -4, -5, -6 Sort -0.2, 88, -0.3, -15, -1/2 in increasing order. -15, -1/2, -0.3, -0.2, 88 Sort -6, -2, 0 in decreasing order. 0, -2, -6 Put 0, -14/13, -3 in decreasing order. 0, -14/13, -3 Sort -2, -5, -3, 0 in increasing order. -5, -3, -2, 0 Sort -18/7, 0, -0.5, -0.1, 0.39 in ascending order. -18/7, -0.5, -0.1, 0, 0.39 Sort 2, 108/7, 3 in descending order. 108/7, 3, 2 Sort 72, 0, -4, 1. -4, 0, 1, 72 Sort 5, 0, -5, 42 in descending order. 42, 5, 0, -5 Put -7, 3, 33, 2 in decreasing order. 33, 3, 2, -7 Sort 10, -0.2, -19 in decreasing order. 10, -0.2, -19 Put 219, -2/3, -0.5 in ascending order. -2/3, -0.5, 219 Sort 1/2, 0.4, -32/5 in decreasing order. 1/2, 0.4, -32/5 Sort -352, -9, 1 in descending order. 1, -9, -352 Put -161, 3, 2, 6, -3 in increasing order. -161, -3, 2, 3, 6 Put 3/2, 4, -0.3, 6, 4/7 in increasing order. -0.3, 4/7, 3/2, 4, 6 Sort -2, 0, -5 in decreasing order. 0, -2, -5 Put -3, -1737, 1/3, -0.1 in descending order. 1/3, -0.1, -3, -1737 Sort -62, 1/2, -2/9 in decreasing order. 1/2, -2/9, -62 Put 0, -1, 5, -2 in ascending order. -2, -1, 0, 5 Put 46, -3, 0.1 in increasing order. -3, 0.1, 46 Sort -4, -1, -150, -5. -150, -5, -4, -1 Sort 2/17, -1, 27, 0.7 in decreasing order. 27, 0.7, 2/17, -1 Sort 0.2, 0.0614, 0, 1/3 in decreasing order. 1/3, 0.2, 0.0614, 0 Sort -0.3, -68, -0.04, -3 in ascending order. -68, -3, -0.3, -0.04 Put 0.171, -0.4, -2, 0.32, 2/7 in descending order. 0.32, 2/7, 0.171, -0.4, -2 Sort 1, 2, 3 in descending order. 3, 2, 1 Put -4/19, -0.4, -4 in increasing order. -4, -0.4, -4/19 Sort 2, 1, 7, 4 in increasing order. 1, 2, 4, 7 Put 0, 5, -3 in descending order. 5, 0, -3 Sort -48, 0, -4, 3 in decreasing order. 3, 0, -4, -48 Put -0.4, -2/21, 127, 1/10 in increasing order. -0.4, -2/21, 1/10, 127 Sort 3, 4, 0, -3891 in decreasing order. 4, 3, 0, -3891 Sort 4/7, 13, 1, 42, 3/7 in ascending order. 3/7, 4/7, 1, 13, 42 Sort -43, 0.12, -4 in increasing order. -43, -4, 0.12 Sort -33/2, 5, 20 in increasing order. -33/2, 5, 20 Sort 4, 2, 369 in decreasing order. 369, 4, 2 Put 64, 2, 4, -4 in increasing order. -4, 2, 4, 64 Put 4, 4/17, 3/10, -3/8, 1/4 in increasing order. -3/8, 4/17, 1/4, 3/10, 4 Put -0.1, 27, -0.6, -0.3 in ascending order. -0.6, -0.3, -0.1, 27 Put -1, -0.02, 0.3, -3/4, -3 in increasing order. -3, -1, -3/4, -0.02, 0.3 Sort 3, 2, -1 in descending order. 3, 2, -1 Put -4, 0, 0.41 in descending order. 0.41, 0, -4 Sort -318, 7, 5, -5 in ascending order. -318, -5, 5, 7 Put -218, 0.1, 0, 3 in decreasing order. 3, 0.1, 0, -218 Sort 1, -100, 5 in increasing order. -100, 1, 5 Sort 3, 2, 28, -4. -4, 2, 3, 28 Sort 3, 1, -3, -4, -11 in decreasing order. 3, 1, -3, -4, -11 Put 0, 32, 1, -3 in decreasing order. 32, 1, 0, -3 Sort -7, -24, 3, 0.6, 5 in descending order. 5, 3, 0.6, -7, -24 Put -2, 164, -3, 3, 2 in decreasing order. 164, 3, 2, -2, -3 Put -3, 34, 5 in descending order. 34, 5, -3 Put -0.4, -5, 3/8, 37, 0.3 in decreasing order. 37, 3/8, 0.3, -0.4, -5 Sort 0.4, 3/5, 5, 79 in decreasing order. 79, 5, 3/5, 0.4 Sort -1/3, 0, -0.42 in ascending order. -0.42, -1/3, 0 Sort -5, -83, -3 in descending order. -3, -5, -83 Sort -0.4, 26, 4/11 in increasing order. -0.4, 4/11, 26 Sort 1, 4, 258. 1, 4, 258 Sort 0, 1, -1, -4, -29 in ascending order. -29, -4, -1, 0, 1 Sort 2/3, -5/2, 3/10, -2/5 in decreasing order. 2/3, 3/10, -2/5, -5/2 Sort 4, -1, -9/2 in increasing order. -9/2, -1, 4 Sort -3, 3, -1, 8 in descending order. 8, 3, -1, -3 Put -2, -4, -3, -100 in descending order. -2, -3, -4, -100 Sort 17, -2, -2/13. -2, -2/13, 17 Sort -3, 8, -8 in descending order. 8, -3, -8 Sort -1/9, 4, 11. -1/9, 4, 11 Put 3, 1, -1, -0.4, -49 in decreasing order. 3, 1, -0.4, -1, -49 Sort 5, -0.3, 0 in descending order. 5, 0, -0.3 Sort 0.7, 2, 0, -5 in increasing order. -5, 0, 0.7, 2 Sort -3/2, -960, -0.3 in ascending order. -960, -3/2, -0.3 Sort 1, 5, -2, -59 in increasing order. -59, -2, 1, 5 Sort 2, 5, -3, 4857 in decreasing order. 4857, 5, 2, -3 Sort -5, 2, 8, -4 in ascending order. -5, -4, 2, 8 Sort 5, 3, 42 in descending order. 42, 5, 3 Put 0.3, 4, -0.5, -2/3, 0.012 in descending order. 4, 0.3, 0.012, -0.5, -2/3 Put 2, -4, -2, 1 in descending order. 2, 1, -2, -4 Sort -0.05, 0.01, -3/7 in decreasing order. 0.01, -0.05, -3/7 Sort -0.146, 0, 4. -0.146, 0, 4 Sort 5, 0.88, -0.5, 1/6 in descending order. 5, 0.88, 1/6, -0.5 Sort -0.5, 3/2, -5, 2/7. -5, -0.5, 2/7, 3/2 Sort 58, 0.5, 4 in descending order. 58, 4, 0.5 Put -0.1, 3, -0.4, 73/6 in descending order. 73/6, 3, -0.1, -0.4 Put 3, 1, 23, 20 in descending order. 23, 20, 3, 1 Put -59, -2, -31 in ascending order. -59, -31, -2 Put -40, -9, -3, 3 in ascending order. -40, -9, -3, 3 Sort -1/5, -65, 1/15, -2 in descending order. 1/15, -1/5, -2, -65 Put -25, 9, 15, 0 in increasing order. -25, 0, 9, 15 Sort -1, -5, 1, 2 in decreasing order. 2, 1, -1, -5 Put -3/8, 0, -6, -2/9 in decreasing order. 0, -2/9, -3/8, -6 Sort -13, -0.4, -3, -0.1 in ascending order. -13, -3, -0.4, -0.1 Sort -0.3, 4/15, 4, -1 in ascending order. -1, -0.3, 4/15, 4 Sort 5, -2, -1/5, 27. -2, -1/5, 5, 27 Put 1/6, 2.6, 4, -0.3, -1/4 in decreasing order. 4, 2.6, 1/6, -1/4, -0.3 Put 2, 1.5, -0.3, 6/5 in descending order. 2, 1.5, 6/5, -0.3 Sort 4, 1/2, 18, 3/5, 1/3 in ascending order. 1/3, 1/2, 3/5, 4, 18 Put -1/22, 2, 0.72, -5 in decreasing order. 2, 0.72, -1/22, -5 Sort -3, 9, -2, 35, 3 in increasing order. -3, -2, 3, 9, 35 Sort 14, 2, 5 in decreasing order. 14, 5, 2 Sort -3, 2/25, 2/17, -56 in decreasing order. 2/17, 2/25, -3, -56 Put 38, 2, 1, 3 in decreasing order. 38, 3, 2, 1 Put -13, -0.3, 0.8 in descending order. 0.8, -0.3, -13 Sort -2, 0.0669, 0.4, 5, -0.3 in increasing order. -2, -0.3, 0.0669, 0.4, 5 Sort 1, -3, -1, -30, 43. -30, -3, -1, 1, 43 Put 264, 17, -4, -2, -3 in ascending order. -4, -3, -2, 17, 264 Sort 3, -1, 2, -2, 17 in ascending order. -2, -1, 2, 3, 17 Put -4, 1, 4 in descending order. 4, 1, -4 Put 617, -1/3, -2/3 in decreasing order. 617, -1/3, -2/3 Sort 0, 7, 0.5, 4, 2 in increasing order. 0, 0.5, 2, 4, 7 Put -0.2, 2/105, -0.1 in decreasing order. 2/105, -0.1, -0.2 Sort -5, -18, -2, -3 in descending order. -2, -3, -5, -18 Sort -1/3, 3/35, -2 in ascending order. -2, -1/3, 3/35 Put 0, 5, 11 in descending order. 11, 5, 0 Sort 2, -0.7, 8, -0.15, 4/3 in decreasing order. 8, 2, 4/3, -0.15, -0.7 Sort 4, 10, 5, 2 in increasing order. 2, 4, 5, 10 Sort 0.52, -4, 0.5, -2/13 in decreasing order. 0.52, 0.5, -2/13, -4 Put -0.5, -2, -0.4, -8 in decreasing order. -0.4, -0.5, -2, -8 Put 3, -4, -5, 4 in descending order. 4, 3, -4, -5 Sort 7, -25, -1, 3 in descending order. 7, 3, -1, -25 Sort -1, -9, -3, -5 in increasing order. -9, -5, -3, -1 Put -2, 2, 7 in decreasing order. 7, 2, -2 Put 10, -2/5, 2/13, 2/11, -17 in ascending order. -17, -2/5, 2/
{ "pile_set_name": "DM Mathematics" }
86. Let v = b - -103. Is v a composite number? False Let g(j) = 9*j**2 + 8*j + 15. Let s be g(-3). Let q = -50 + s. Is (3148/(-6))/(q/(-33)) prime? True Let h(k) = 4489*k**2 - k - 1. Let d be h(-1). Let i = 13658 - d. Is i prime? False Let l(f) be the second derivative of 137*f**7/1260 - f**6/144 - 3*f**5/40 - 8*f**4/3 - 42*f. Let g(j) be the third derivative of l(j). Is g(-2) composite? False Is 48/256 - 2680743/(-48) a composite number? False Let b be ((-9)/(-15) + (-16)/10)*12. Let c be (-14)/84 - 2/b. Suppose c*u - 1758 = -6*u. Is u prime? True Let s(q) = -445*q**3 + 79*q + 35. Is s(-11) a prime number? False Suppose 4*p - 12 = 0, 8*p - 30241 = -4*o + 9*p. Is o prime? True Let y(w) = 2*w - 24. Let d be y(-3). Let k be 5*(30/(-35))/(d/28). Is 15/(-3)*k/(-10) + 209 a composite number? False Is (-2 - 5/(-2))*(207754 - -7 - 7) prime? False Let v = -204 - -186. Let q(m) = -1816*m + 25. Is q(v) composite? False Suppose 28 = -2*r - 0*l + 4*l, -3*r - 45 = -3*l. Let j(z) be the second derivative of -19*z**3 + 23*z**2/2 + 85*z. Is j(r) a composite number? False Suppose s = -5*s + 12. Let m be (s/3 + -1)*-48. Suppose -1043 = -m*i + 15*i. Is i a composite number? True Let q = -25 - 19. Let b = q + 54. Is ((-716)/b)/(3/(-15)) a prime number? False Suppose 23844 = 11*s - 32553. Is s prime? False Suppose 7*g - 31713 + 2054 = 0. Suppose -31*m + 15665 + 38089 = 0. Suppose -7*w + m = -g. Is w a composite number? False Let y(v) = v**3 + 4*v**2 + v + 6. Let c be y(-4). Suppose -2*j = -5*h + 66321, 0 = 3*h - 3*j + c*j - 39792. Is h a composite number? True Suppose 3*m - 5*q - 82175 - 278051 = 0, 4*q = -2*m + 240114. Is m a prime number? True Suppose -4*o + 520352 = 2*b, o - 3*b - 156758 + 26691 = 0. Is o a prime number? False Let q(p) = -4112*p**3 - 4*p**2 - 25*p - 186. Is q(-7) a composite number? True Let w(y) = 56*y**2 - y + 8. Suppose -l + g + 16 - 13 = 0, -5*l + 39 = 3*g. Is w(l) composite? True Suppose -86992*s = -87010*s + 7813854. Is s a prime number? False Let v be (-15)/(-6)*96/30. Is 1/((0 + v)/39896) prime? True Suppose 16*o + 15456648 - 2198520 = 64*o. Is o a prime number? False Let o(k) = 1988*k**2 + 65*k - 314. Is o(5) a composite number? False Let q(u) = 939*u - 2. Let m(y) = -938*y + 2. Let t(n) = 3*m(n) + 4*q(n). Let x be 20/((-20)/(-4)) - 2. Is t(x) prime? False Is (-5845265)/(-17) - 490/4165 prime? False Let f be (0 + 3)/(-3 + 4). Let t(h) = 288*h - 7. Let s(g) = 291*g - 2. Let o(n) = 4*s(n) - 3*t(n). Is o(f) composite? True Let w be 10*(-16)/280 + (-52314)/7. Let z = 10787 + w. Is z prime? True Let j(w) = 277*w + 19. Suppose -22*c + 6*c = -160. Is j(c) composite? False Let b(t) = -3*t**3 + 3*t**2 + 5*t + 3. Let q be b(-1). Is 183784/6 - q/(-12) a composite number? False Suppose -3*h - 3*m = -15, 2 = -2*h + m + m. Suppose h*x = -d + 442 + 15, 0 = -2*x + 6. Is d a prime number? False Let h be (-3)/(3 + 48/(-14)). Suppose -h*q = -4*q - 4209. Is q a composite number? True Let w = -181598 + 538333. Is w a prime number? False Let o = 29 - 28. Let l(j) = 1256*j**3 - j**2 + 3*j - 1. Is l(o) a prime number? False Let x = 188447 + -76416. Is x composite? False Let o = 598 - 71. Suppose -46*r - 4692 = -29*r. Let y = r + o. Is y composite? False Let v(w) = 28*w**2 + 5*w - 28. Let b(m) = 0*m - 21 + 22 + m. Let a(d) = 3*b(d) + v(d). Is a(9) a composite number? True Suppose 248 + 19 = -3*p. Let u = 8063 - p. Suppose 5*h + 3*h = u. Is h a prime number? True Let d(n) be the second derivative of 189*n**4/4 + 23*n**3/6 - n**2/2 - 87*n. Is d(3) composite? False Let z = 234 + -93. Let y = z + 578. Is y a composite number? False Let v = 387 - 377. Is v/5 - (-8474 - -3) a composite number? True Suppose -93*k + 23408724 = 852660 - 5364117. Is k prime? False Suppose -10*a = -7*a - 12, -x = -3*a + 18. Let i(k) be the third derivative of 13*k**5/20 + k**4/3 + 5*k**3/6 + 11*k**2. Is i(x) composite? False Let g(j) = -j**2 + 5*j + 16411. Is g(0) prime? True Let f = 371792 - 242639. Is f a composite number? True Let b(j) = 25*j**3 - 15*j**2 + 39*j + 78. Is b(11) composite? True Is (-3)/6*-226445*((3 - 1) + 0) prime? False Suppose -12*k + 1178620 + 2060648 = 0. Is k composite? False Suppose 4*q = 2*t - 147390, -4*t - 73715 = -5*t - 3*q. Is t composite? True Suppose 4217 = 8*r - 3679. Suppose 94*w = 91*w + r. Is w composite? True Let p(q) = -6*q**3 - 8*q - 1. Let x be p(-6). Let j(v) = 8*v - 130. Let i be j(17). Suppose i*h = -x + 3497. Is h prime? True Let s(p) = p**3 + 14*p**2 - 21*p - 14. Let m be s(-16). Let u = 293 + m. Is u a prime number? True Let p = -347 + 179. Let s be 4/10 - (-17)/((-510)/p). Is (7/3)/(s/6246) composite? True Let d(k) = -877*k**3 + 17*k**2 + 16*k + 47. Is d(-5) composite? False Suppose -98449 = -4*a - j, -47579 = -2*a - 5*j + 1668. Is a a composite number? False Let y = -224567 + 462438. Is y prime? False Let l(i) = i**3 - 54*i**2 - 94*i + 1508. Is l(59) a composite number? False Suppose 28 = -3*k + 82. Suppose 1401 = 19*u - k*u. Suppose 7*t - 2666 = u. Is t a composite number? True Suppose -12*i + 10*i + 4*n + 108450 = 0, 0 = -i + 5*n + 54210. Is i a prime number? False Suppose -5*v - 60*q = -56*q - 1443259, -3*v = 17*q - 866043. Is v a prime number? True Let l(p) = -p**3 + 72*p**2 - 4*p + 2866. Is l(-59) composite? False Let z(q) = 2006*q + 1345. Is z(12) composite? True Let m = 280752 + 144589. Is m prime? False Let j be -5*(0 + (-29)/5 - -7). Let s(w) be the third derivative of -115*w**4/12 + w**3/6 + 2*w**2. Is s(j) prime? True Suppose -8*v + 16*v + 4348326 = 14*v. Is v a composite number? False Suppose 2*c = 3*c + 24. Let l(h) = -h**3 - 8*h**2 + 15*h - 50. Let m be l(-10). Is 473 - m - c/(-6) prime? False Let j(w) = -2*w**3 + 10*w**2 - 7*w - 3. Let i be j(4). Suppose -2*p + 15 = 3*p. Is ((-1060)/(-12))/(i/p) a prime number? False Let m = -63 + 77. Suppose -2*t + 27598 = 4*x, x + m*t - 6898 = 15*t. Is x a prime number? True Suppose -4223292 = -13*z - z + 2*z. Is z prime? False Let c = -6649 - -3458. Let f be -6*831*(-12 + 11). Let w = c + f. Is w composite? True Let m(y) = -228671*y - 344. Is m(-3) composite? False Let k(n) = -2*n**2 + 19*n + 19. Let d be k(10). Let i(v) = 3*v**2 - 18*v - 23. Is i(d) composite? True Let a = -58 + 40. Let n be (-1)/3*8*a/24. Suppose -n*r = r - 2157. Is r prime? True Suppose -2*u - b = -2 + 1, -4*u + 5*b = 19. Is u/(5*(-1)/325) a prime number? False Let v be (-525)/(-10)*60/(-35). Is 15/(v/(-44956))*(-3)/(-2) composite? False Suppose 5*t = 3*t. Suppose t*h = -3*h. Suppose v + 4*d - 307 = -h*v, v - 299 = -2*d. Is v composite? True Let s be 3 - 0 - (1 + -3). Suppose 5*g + 1828 = 5*j - 6062, s*j = 4*g + 7894. Suppose -20*a + j = -6*a. Is a a prime number? True Let f(o) = -o**2 + 9*o - 15. Let v be f(6). Suppose -v = j - 4*j, 4*j + 797 = g. Is g + (48/(-40))/((-3)/(-10)) a prime number? True Let w = -12470 + 33048. Is w prime? False Let m be 716/1 + -1 + (4 - 7). Let a = m - 65. Is a prime? True Suppose -2*t = -5*l - 7407, 12*t - 15*t + 11099 = 4*l. Let a = t - 2488. Is a a prime number? True Let d = 1186 + -1157. Let n(o) = -196*o + 6. Let c be n(4). Let h = d - c. Is h a prime number? False Suppose -13*t - 61860 = -19*t. Suppose 370*l - t = 368*l. Is l composite? True Suppose 5*z - 589763 + 74934 = -2*c, -2*z - 514836 = -2*c. Is c composite? True Suppose 11*q - 9*q + 2996 = 0. Is q/8*68/(-17) prime? False Let h = 11939 - -2810. Let z = 25310 - h. Is z a prime number? False Suppose -m + 7676 = y, -y = 6*m - 4*m - 15353. Suppose -3*d = 6*d - m. Is d composite? False Suppose -17*b = -34522 - 23312. Let n = b + -1891. Is n a prime number? True Suppose -4*v - 1372598 = -47*j + 45*j, 5*v - 6862915 = -10*j. Is j composite? False Let r = 2722 + 1054. Is 0 + -6 + -15 + r prime? False Suppose 4*i - 266 = -5*x, 5*i - 6*i = 3*x - 63. Let l = i - 67. Is (-2396)/(-6) + l + 8/(-24) a composite number? False Suppose 3*h - h + f + 12 = 0, 0 = -h - f - 8. Let x be (-1)/h + ((-329)/(-28) - 8). Suppose 3*c - 259 = 2*c - x*u, c - u = 274. Is c a prime number? True Suppose 24399 = -6*x + 164283. Is x a composite number? True Let o(f) = 4*f**3 + 2*f**2 - f. Let y be o(1). Suppose 0 = 2*n - 5*x - 8828, x - 22055 = -y*n + 6*x. Is n a composite number? False Suppose 4*o - 44 = -3*w, -2*w - 24 = -3*o - o. Suppose -2*c + 22 = o. Sup
{ "pile_set_name": "DM Mathematics" }
-3/8)*i) assuming i is positive. i**(-655/24) Simplify (n/(n*n**(-6))*n**(1/7)*n*(n*n**(-3/2))/n**(-8))**(-13) assuming n is positive. n**(-2665/14) Simplify (h*h**(-2)/h)**21/((h**(-1)*h)/h)**7 assuming h is positive. h**(-35) Simplify (c/c**(7/2))**(1/48)*((c*c*((c/(c**7/c*c))/c)/c*c)/c)**43 assuming c is positive. c**(-24773/96) Simplify ((r*r*((r**0/r)/r)/r)/(r**(3/10)/r))**(2/17) assuming r is positive. r**(-3/85) Simplify (z**(7/6))**(-41/5)/(z**(-5/14))**(-42) assuming z is positive. z**(-737/30) Simplify ((p**(-2/35)*p/p**(5/8))**20)**19 assuming p is positive. p**(1691/14) Simplify ((o*(o*o**(1/23))/o)/(((o/(o*o**(-5/7)*o*o))/o)/o))**(-2/13) assuming o is positive. o**(-1394/2093) Simplify f**11/(f*f/f**(-8))*(f/(f**(1/2)/f))**(1/15) assuming f is positive. f**(11/10) Simplify (a**(-2/3)/a*a**(2/13))/(a**(-25)*a)**(-17/6) assuming a is positive. a**(-2711/39) Simplify ((i/(i**2*i)*i*i*i**4)**(16/11))**(1/4) assuming i is positive. i**(16/11) Simplify l*l**(1/27)/l*l*l*l**(-18/11)*l*l*(l/(l*l**(-2/3))*l)/(l/l**(-9)) assuming l is positive. l**(-1762/297) Simplify (((a/a**(-1/29))/a)/a**2)/(a**(-15)*a*a**(1/4)) assuming a is positive. a**(1367/116) Simplify (((z/z**(-12))/z)**41)**(2/19) assuming z is positive. z**(984/19) Simplify (((p*p**(-14))/p)/p)/p**(-25)*(p**11)**26 assuming p is positive. p**296 Simplify (i**5/(i/i**(-5)))/(i*i/i**(-17)*i**10) assuming i is positive. i**(-30) Simplify (k**(-1/6))**(-1/43)/((k*k/k**(-4/7))/k*k)**(-35) assuming k is positive. k**(23221/258) Simplify q**(-1/26)/q*q/(q/(q**(1/16)*q))*q**10/q**(-1/3) assuming q is positive. q**(6463/624) Simplify ((x**3)**48*(x/(x*x*x/(x**(-3/13)/x)*x))/x**0)**(-32) assuming x is positive. x**(-58144/13) Simplify ((n*n/(n**(-30)*n))/n**(-1/28))**(-41) assuming n is positive. n**(-35629/28) Simplify (k**0)**(3/13)*(k**(3/2))**(-11/5) assuming k is positive. k**(-33/10) Simplify l**(1/4)*l*l**(2/39)/l*(l*((l*l**(-11))/l)/l*l)/l**(-3/4) assuming l is positive. l**(-349/39) Simplify (p**(12/5)/p)**(-35)/((p**(-4/5)/p)/(p*p*(p*p/(p**(2/17)/p))/p)) assuming p is positive. p**(-3682/85) Simplify (x/(x**(5/2)*x)*x**(-2/41))/(x*x/(x/x**(-12)))**(3/50) assuming x is positive. x**(-1936/1025) Simplify (w/w**3)**(-50)/(w**(-1/5))**(-2/49) assuming w is positive. w**(24498/245) Simplify (m**(-2))**(-42)*m**(5/6)/(m/(m**(-2/3)*m)) assuming m is positive. m**(505/6) Simplify (h**(-14))**36/(h**(18/11)/h**16) assuming h is positive. h**(-5386/11) Simplify (y**(-3))**(-1/47)*(y/(y/((y/((y*(y/(y*(y**(-2/13)*y)/y))/y*y)/y))/y)*y))/y*y/(y*y**(3/8)) assuming y is positive. y**(-12049/4888) Simplify (o**(-3)*o**11)/((o*(o*o/(o/o**11))/o*o)/(o**10/o)) assuming o is positive. o**4 Simplify (o/(o*o*o**(-1/32)*o)*o)/(o/(o*o**(11/5)*o))*(o/(o*(o**(3/8)*o*o)/o))/o*(o/(o**(-7/9)*o))/o assuming o is positive. o**(-527/1440) Simplify (((p/(p*p**(3/25)*p))/p)/p)/p**19*(p*p*p/(p*p**(-17/5)*p)*p)**(-18) assuming p is positive. p**(-2983/25) Simplify (((t**(-8)/t)/t**(-2/7))/(t**9/(t**(-1/2)/t*t)))**(2/7) assuming t is positive. t**(-255/49) Simplify ((g**1*(g**(4/3)/g)/g)/((g/((g/(g*g**(-9)*g*g*g))/g))/(g*g**(-11)*g)))**(-49) assuming g is positive. g**(686/3) Simplify (((j**6*j*j)/j)/(j*j/(j**2/j))*(j/(j/(j**(-1)/j)))**(-35))**(-47) assuming j is positive. j**(-3572) Simplify ((k/(k**(-1/4)/k))/k)**(-15/8)*(k*k**(-15/2)/k*k*k)/((k**(2/11)*k)/k) assuming k is positive. k**(-2825/352) Simplify ((u**(-1/8)*(u**(-2/21)/u)/u)**(-2/7))**(-3) assuming u is positive. u**(-373/196) Simplify (((v/((v/(v*v/((v*v**(-2/15)*v)/v*v)*v*v*v))/v))/v*v*v**(-3/4))/(v/((v*v**(2/5))/v))**(-21))**(-7) assuming v is positive. v**(-6713/60) Simplify ((i/i**(-1/3)*i)**(-2/29)*(((i*i**(-6/5))/i)/i)/(i/(i/i**(2/19))))**(-3/4) assuming i is positive. i**(20383/11020) Simplify (v/v**(5/6))/(v*v/(v*(v**7/v*v)/v)*v)*v/(v*v*v/v**6)*(v*(v**(-2/3)/v)/v)/v assuming v is positive. v**(11/2) Simplify ((f**(-2/7))**(-24)*(f**0)**(2/17))**5 assuming f is positive. f**(240/7) Simplify n**9*n/(n**(-7)*n*n)*(n/(n*n*n**(1/5)/n*n*n))/(n**(-14)/n) assuming n is positive. n**(139/5) Simplify (l*l**(-3))**(-20/13)/(l/l**(2/19)*(l*l**(-6))/l) assuming l is positive. l**(2021/247) Simplify ((d*(d**(5/6)*d)/d*d*d**(-3/2))/(d/d**(-2/7)*d*d/d**5))**(-31) assuming d is positive. d**(-1984/21) Simplify (((d/d**(2/13))**22)**39)**(-14) assuming d is positive. d**(-10164) Simplify (i*i*i**(-3/2))**(-50/3)*i**(3/4)*i**(-2/11) assuming i is positive. i**(-1025/132) Simplify (w**(-12))**(1/24)*w**26*w**31*w assuming w is positive. w**(115/2) Simplify (p**(-13/5)/p)/(p/(p**(-6/13)/p))*p**8*(p*p**25)/p assuming p is positive. p**(1751/65) Simplify t**(6/11)*t*(t**(1/3)*t)/t*t*(t**20*t*t)/(t/(t*t/(t**(-15)*t)*t*t)) assuming t is positive. t**(1382/33) Simplify (s**(-15)/s**(-9/5))/(s**17)**(7/8) assuming s is positive. s**(-1123/40) Simplify (x**(12/11)*x**(-17/3))**(-23) assuming x is positive. x**(3473/33) Simplify (m**(-5)*m)**(5/6)*(m*m**5)/(m/m**3) assuming m is positive. m**(14/3) Simplify ((i**(-21)*i)/(((i/(i**(2/47)/i))/i)/i))**12 assuming i is positive. i**(-11256/47) Simplify h**(3/7)/(h**25/h)*(h*h/h**3)**30 assuming h is positive. h**(-375/7) Simplify (((j*j**(-3/14))/j**(-17))**(-20/9))**19 assuming j is positive. j**(-15770/21) Simplify (w*(w**(-2)*w)/w*w)**(-1/15)/(w*w**(1/6)*w*w**(1/5)) assuming w is positive. w**(-71/30) Simplify (f/f**10)/f**(2/3)*f**4*f*f*f/f**(10/9) assuming f is positive. f**(-34/9) Simplify (v**(-3/10))**(34/5)/(v**(3/7)*v*(v*v*v**(-1))/v*v) assuming v is positive. v**(-782/175) Simplify ((n*n**(1/8))/n**(1/4))/(n**(-12)/n**(-4/5)) assuming n is positive. n**(483/40) Simplify n**(-1)*n*n*n/(n*n**(-3))*((n*n**(1/9))/n)/(n**(-11)/n) assuming n is positive. n**(145/9) Simplify (o**(3/5)*o/(o/o**(-1/14)))/(o**(-2/5)*o**(1/9)) assuming o is positive. o**(103/126) Simplify t/(t/t**(-2/5))*t**(-2)*t*(t/(t/(t*t**(-2))))**(-15) assuming t is positive. t**(68/5) Simplify ((h*((h*h*h*h/h**2*h)/h)/h*h/h**0)/(h*h*h**(-1/4)*h/(h/((h**4/h)/h))))**(-36) assuming h is positive. h**27 Simplify (f**(1/10)/f)**(-20)*f**(3/10)*f*(f/(f*f/(f/(f/((f**21/f)/f)))))/f assuming f is positive. f**(363/10) Simplify ((z*z/(z/z**(-2/7))*(z**(1/3)/z)/z)**(-1/5))**39 assuming z is positive. z**(52/7) Simplify ((j/j**15)/j**9)/(j**(-1))**12 assuming j is positive. j**(-11) Simplify ((i**(-2/5)/i)/i*i**(-1))/(i**(1/2))**(-40) assuming i is positive. i**(83/5) Simplify ((z/((z*z**1)/z))/z**(-7)*(z*z**(-1/2))**(1/15))**(3/8) assuming z is positive. z**(211/80) Simplify (f*((f*f**(-2/7))/f)/f)**(-19/5)*f**11*f**(-2/17)/f assuming f is positive. f**(6526/595) Simplify (s**(-2/11)*(s*s**(-1/20)/s*s)/s)/(s**(2/29)/s)**(-29) assuming s is positive. s**(-5991/220) Simplify a**(-6/13)*a*a/(a/a**8)*(a*a**(-32/3))/a**(-1/11) assuming a is positive. a**(-445/429) Simplify (a**(3/4))**(3/13)/((a/(a*a*a**(-3/5)))/a*a*a**(-12)) assuming a is positive. a**(3269/260) Simplify (y/y**(-2/9))**(1/7)/(y**(4/13)*y*y/y**4*y) assuming y is positive. y**(710/819) Simplify ((q*q**10)/q**(3/8))/((q*q**(-23)/q*q)/((((q**(2/29)/q)/q*q)/q)/q)) assuming q is positive. q**(6889/232) Simplify ((u**(3/5)*u*u)/(u/(u*u/u**(-26))*u))**(30/13) assuming u is positive. u**66 Simplify (d*(d**(-8/9)/d*d)/d*d*d*d**(-16))**(-7/3) assuming d is positive. d**(938/27) Simplify (g**(1/2)*g*g**(4/21))/(g**(-1/6)*g)**(12/11) assuming g is positive. g**(361/462) Simplify (k*k**(4/3)*k)/(k/(k*k**(5/2)/k))*k**(-2/7)/k**(4/9) assuming k is positive. k**(517/126) Simplify (i**(-13)/i)/i**3*i**(1/15)/(i/i**(-1/8)) assuming i is positive. i**(-2167/120) Simplify ((k**(1/3)/k)**(-47)/(k**(-4)/k**(1/4)))**(7/8) assuming k is positive. k**(2989/96) Simplify (g**5)**(-21/5)*(g**19*g)/(g**(1/5)/g) assuming g is positive. g**(-1/5) Simplify (((((f**(-7)/f)/f)/f)/f**0)/((f/f**(1/2))/f**(1/4)))**(-39) assuming f is positive. f**(1599/4) Simplify ((((d*d**(5/3)/d)/d)/(d/(d*d**10)*d))**(3/17))**17 assuming d is positive. d**29 Simplify j**(-4/5)*j/(j*(j*j**13*j)/j)*(j/(j**(-4/5)/j*j))**(11/2) assuming j is positive. j**(-49/10) Simplify ((l*l/(l**(-29)/l*l*l)*l)/l**(-2/23))/(l/(l*l*l/(l/l**(-1/9)))*l*l*l**(-2/5)/l) assuming l is positive. l**(32474/1035) Simplify (a*a**(-2/19)*a/(a**(-2/3)/a)*a)/(a**(7/3)/a*a**(-10)/a
{ "pile_set_name": "DM Mathematics" }
re root of 524 to the nearest integer? 23 What is the cube root of 261 to the nearest integer? 6 What is the third root of 5711 to the nearest integer? 18 What is the cube root of 2914 to the nearest integer? 14 What is the tenth root of 467 to the nearest integer? 2 What is 897 to the power of 1/3, to the nearest integer? 10 What is the square root of 1414 to the nearest integer? 38 What is the third root of 13597 to the nearest integer? 24 What is the cube root of 27687 to the nearest integer? 30 What is the sixth root of 9376 to the nearest integer? 5 What is 52540 to the power of 1/2, to the nearest integer? 229 What is 499 to the power of 1/6, to the nearest integer? 3 What is the tenth root of 34354 to the nearest integer? 3 What is 1020 to the power of 1/5, to the nearest integer? 4 What is 2050 to the power of 1/10, to the nearest integer? 2 What is the cube root of 18919 to the nearest integer? 27 What is the third root of 15066 to the nearest integer? 25 What is the tenth root of 1017 to the nearest integer? 2 What is the seventh root of 2361 to the nearest integer? 3 What is the third root of 61736 to the nearest integer? 40 What is 23278 to the power of 1/2, to the nearest integer? 153 What is the sixth root of 70 to the nearest integer? 2 What is the third root of 499 to the nearest integer? 8 What is the third root of 4872 to the nearest integer? 17 What is 7583 to the power of 1/2, to the nearest integer? 87 What is 2060 to the power of 1/3, to the nearest integer? 13 What is the cube root of 13031 to the nearest integer? 24 What is the cube root of 30769 to the nearest integer? 31 What is the cube root of 3700 to the nearest integer? 15 What is 59855 to the power of 1/3, to the nearest integer? 39 What is the square root of 14146 to the nearest integer? 119 What is 596 to the power of 1/10, to the nearest integer? 2 What is 6549 to the power of 1/2, to the nearest integer? 81 What is 7727 to the power of 1/5, to the nearest integer? 6 What is the square root of 2430 to the nearest integer? 49 What is the square root of 869 to the nearest integer? 29 What is the square root of 1297 to the nearest integer? 36 What is 1580 to the power of 1/4, to the nearest integer? 6 What is the cube root of 1028 to the nearest integer? 10 What is the tenth root of 55635 to the nearest integer? 3 What is the third root of 56116 to the nearest integer? 38 What is the eighth root of 1714 to the nearest integer? 3 What is the fourth root of 1261 to the nearest integer? 6 What is the third root of 1620 to the nearest integer? 12 What is 530 to the power of 1/2, to the nearest integer? 23 What is 1769 to the power of 1/3, to the nearest integer? 12 What is 20778 to the power of 1/2, to the nearest integer? 144 What is 1247 to the power of 1/6, to the nearest integer? 3 What is the tenth root of 1404 to the nearest integer? 2 What is the eighth root of 42512 to the nearest integer? 4 What is the square root of 60034 to the nearest integer? 245 What is 1466 to the power of 1/7, to the nearest integer? 3 What is the eighth root of 1740 to the nearest integer? 3 What is 27298 to the power of 1/2, to the nearest integer? 165 What is 26062 to the power of 1/9, to the nearest integer? 3 What is 4446 to the power of 1/5, to the nearest integer? 5 What is the square root of 41385 to the nearest integer? 203 What is the ninth root of 1360 to the nearest integer? 2 What is 83082 to the power of 1/2, to the nearest integer? 288 What is 2175 to the power of 1/2, to the nearest integer? 47 What is the cube root of 257 to the nearest integer? 6 What is 59799 to the power of 1/7, to the nearest integer? 5 What is 3520 to the power of 1/4, to the nearest integer? 8 What is 2208 to the power of 1/2, to the nearest integer? 47 What is 34300 to the power of 1/7, to the nearest integer? 4 What is the tenth root of 68670 to the nearest integer? 3 What is 17164 to the power of 1/4, to the nearest integer? 11 What is 5634 to the power of 1/3, to the nearest integer? 18 What is 3484 to the power of 1/2, to the nearest integer? 59 What is the third root of 10610 to the nearest integer? 22 What is 3099 to the power of 1/8, to the nearest integer? 3 What is the cube root of 2061 to the nearest integer? 13 What is 356 to the power of 1/7, to the nearest integer? 2 What is the cube root of 15531 to the nearest integer? 25 What is the square root of 386 to the nearest integer? 20 What is the square root of 47557 to the nearest integer? 218 What is 10462 to the power of 1/6, to the nearest integer? 5 What is the cube root of 78316 to the nearest integer? 43 What is the eighth root of 1355 to the nearest integer? 2 What is the tenth root of 49034 to the nearest integer? 3 What is 1481 to the power of 1/3, to the nearest integer? 11 What is 5585 to the power of 1/2, to the nearest integer? 75 What is the square root of 71586 to the nearest integer? 268 What is the ninth root of 35492 to the nearest integer? 3 What is the square root of 917 to the nearest integer? 30 What is the cube root of 13455 to the nearest integer? 24 What is 1668 to the power of 1/7, to the nearest integer? 3 What is the square root of 6392 to the nearest integer? 80 What is the cube root of 2398 to the nearest integer? 13 What is the square root of 7111 to the nearest integer? 84 What is 1088 to the power of 1/2, to the nearest integer? 33 What is 9338 to the power of 1/2, to the nearest integer? 97 What is 4440 to the power of 1/2, to the nearest integer? 67 What is the fifth root of 4564 to the nearest integer? 5 What is the third root of 32187 to the nearest integer? 32 What is 3149 to the power of 1/7, to the nearest integer? 3 What is the sixth root of 936 to the nearest integer? 3 What is the third root of 79743 to the nearest integer? 43 What is the square root of 64799 to the nearest integer? 255 What is the third root of 1410 to the nearest integer? 11 What is the square root of 91277 to the nearest integer? 302 What is the ninth root of 12715 to the nearest integer? 3 What is 7427 to the power of 1/10, to the nearest integer? 2 What is 204 to the power of 1/8, to the nearest integer? 2 What is the square root of 202 to the nearest integer? 14 What is 13084 to the power of 1/2, to the nearest integer? 114 What is the third root of 6636 to the nearest integer? 19 What is 132 to the power of 1/2, to the nearest integer? 11 What is 52890 to the power of 1/2, to the nearest integer? 230 What is 63266 to the power of 1/9, to the nearest integer? 3 What is the third root of 3514 to the nearest integer? 15 What is 85240 to the power of 1/6, to the nearest integer? 7 What is 1296 to the power of 1/7, to the nearest integer? 3 What is the square root of 1728 to the nearest integer? 42 What is the ninth root of 4317 to the nearest integer? 3 What is 38 to the power of 1/2, to the nearest integer? 6 What is the fifth root of 4497 to the nearest integer? 5 What is the fifth root of 302 to the nearest integer? 3 What is the square root of 18572 to the nearest integer? 136 What is the ninth root of 44049 to the nearest integer? 3 What is 48602 to the power of 1/4, to the nearest integer? 15 What is the third root of 1308 to the nearest integer? 11 What is 4350 to the power of 1/5, to the nearest integer? 5 What is the ninth root of 28210 to the nearest integer? 3 What is the fifth root of 103 to the nearest integer? 3 What is the tenth root of 63257 to the nearest integer? 3 What is the third root of 38329 to the nearest integer? 34 What is the square root of 12384 to the nearest integer? 111 What is the seventh root of 87024 to the nearest integer? 5 What is 37045 to the power of 1/6, to the nearest integer? 6 What is the seventh root of 1277 to the nearest integer? 3 What is the cube root of 115567 to the nearest integer? 49 What is the square root of 11438 to the nearest integer? 107 What is 35095 to the power of 1/2, to the nearest integer? 187 What is the cube root of 315 to the nearest integer? 7 What is the sixth root of 314 to the nearest integer? 3 What is the sixth root of 39085 to the nearest integer? 6 What is 27054 to the power of 1/2, to the nearest integer? 164 What is 7805 to the power of 1/2,
{ "pile_set_name": "DM Mathematics" }
eger? 713 What is the sixth root of 74606733 to the nearest integer? 21 What is the seventh root of 178226399 to the nearest integer? 15 What is 156961360 to the power of 1/2, to the nearest integer? 12528 What is 37029449 to the power of 1/2, to the nearest integer? 6085 What is 199061395 to the power of 1/6, to the nearest integer? 24 What is the third root of 4802330228 to the nearest integer? 1687 What is the square root of 171278028 to the nearest integer? 13087 What is the square root of 2384891120 to the nearest integer? 48835 What is the cube root of 2103576799 to the nearest integer? 1281 What is the square root of 307261036 to the nearest integer? 17529 What is 1297135113 to the power of 1/10, to the nearest integer? 8 What is the square root of 32529335 to the nearest integer? 5703 What is the third root of 937865553 to the nearest integer? 979 What is the fifth root of 177090361 to the nearest integer? 45 What is the square root of 37625030 to the nearest integer? 6134 What is 1114372243 to the power of 1/3, to the nearest integer? 1037 What is the third root of 51135667 to the nearest integer? 371 What is 300973021 to the power of 1/9, to the nearest integer? 9 What is the cube root of 47018060 to the nearest integer? 361 What is the fourth root of 561077277 to the nearest integer? 154 What is the sixth root of 784336143 to the nearest integer? 30 What is 320794842 to the power of 1/9, to the nearest integer? 9 What is 10217264 to the power of 1/3, to the nearest integer? 217 What is the square root of 1264251488 to the nearest integer? 35556 What is 37706995 to the power of 1/3, to the nearest integer? 335 What is the third root of 119981973 to the nearest integer? 493 What is the fifth root of 155195961 to the nearest integer? 43 What is the cube root of 2206152501 to the nearest integer? 1302 What is 144113528 to the power of 1/4, to the nearest integer? 110 What is 14740032 to the power of 1/4, to the nearest integer? 62 What is the fourth root of 166452325 to the nearest integer? 114 What is the cube root of 81310764 to the nearest integer? 433 What is the cube root of 39188098 to the nearest integer? 340 What is the seventh root of 2259915529 to the nearest integer? 22 What is the eighth root of 953080116 to the nearest integer? 13 What is 1699212755 to the power of 1/2, to the nearest integer? 41222 What is the tenth root of 737167730 to the nearest integer? 8 What is 18705446 to the power of 1/7, to the nearest integer? 11 What is 25217042 to the power of 1/2, to the nearest integer? 5022 What is 1160334181 to the power of 1/3, to the nearest integer? 1051 What is 101791939 to the power of 1/5, to the nearest integer? 40 What is the square root of 684917260 to the nearest integer? 26171 What is 174517954 to the power of 1/3, to the nearest integer? 559 What is the third root of 137567548 to the nearest integer? 516 What is the tenth root of 737187821 to the nearest integer? 8 What is the cube root of 342155561 to the nearest integer? 699 What is the eighth root of 5344564672 to the nearest integer? 16 What is the eighth root of 27308291 to the nearest integer? 9 What is the third root of 22327709 to the nearest integer? 282 What is the sixth root of 1355486891 to the nearest integer? 33 What is 36853687 to the power of 1/2, to the nearest integer? 6071 What is the cube root of 88556934 to the nearest integer? 446 What is the fourth root of 196936390 to the nearest integer? 118 What is the eighth root of 78162914 to the nearest integer? 10 What is the eighth root of 95297141 to the nearest integer? 10 What is 340357199 to the power of 1/7, to the nearest integer? 17 What is the tenth root of 37778125 to the nearest integer? 6 What is the seventh root of 409492515 to the nearest integer? 17 What is the ninth root of 153932518 to the nearest integer? 8 What is the ninth root of 27913585 to the nearest integer? 7 What is the square root of 62124624 to the nearest integer? 7882 What is the seventh root of 1299836160 to the nearest integer? 20 What is the cube root of 53307796 to the nearest integer? 376 What is the cube root of 23964983 to the nearest integer? 288 What is the square root of 153610395 to the nearest integer? 12394 What is the fifth root of 1449803820 to the nearest integer? 68 What is the fourth root of 77770279 to the nearest integer? 94 What is the ninth root of 100236748 to the nearest integer? 8 What is the fourth root of 7055406365 to the nearest integer? 290 What is the cube root of 55804733 to the nearest integer? 382 What is 318103392 to the power of 1/9, to the nearest integer? 9 What is the fourth root of 556950289 to the nearest integer? 154 What is the third root of 2083967086 to the nearest integer? 1277 What is 1726784380 to the power of 1/2, to the nearest integer? 41555 What is the square root of 92766108 to the nearest integer? 9632 What is 43378404 to the power of 1/3, to the nearest integer? 351 What is 673094068 to the power of 1/9, to the nearest integer? 10 What is the square root of 106360128 to the nearest integer? 10313 What is the ninth root of 103016163 to the nearest integer? 8 What is the third root of 332571609 to the nearest integer? 693 What is the square root of 8295395633 to the nearest integer? 91079 What is the sixth root of 12157460 to the nearest integer? 15 What is the sixth root of 853996536 to the nearest integer? 31 What is 208530882 to the power of 1/6, to the nearest integer? 24 What is 57255278 to the power of 1/2, to the nearest integer? 7567 What is the eighth root of 3977297859 to the nearest integer? 16 What is the third root of 78453274 to the nearest integer? 428 What is 102076940 to the power of 1/4, to the nearest integer? 101 What is the cube root of 20727623 to the nearest integer? 275 What is 51294646 to the power of 1/2, to the nearest integer? 7162 What is the tenth root of 147727340 to the nearest integer? 7 What is 269788815 to the power of 1/4, to the nearest integer? 128 What is the sixth root of 3272688624 to the nearest integer? 39 What is 7036916983 to the power of 1/9, to the nearest integer? 12 What is the fifth root of 85506845 to the nearest integer? 39 What is 38752621 to the power of 1/2, to the nearest integer? 6225 What is 615538003 to the power of 1/9, to the nearest integer? 9 What is the sixth root of 19632407 to the nearest integer? 16 What is the square root of 53090480 to the nearest integer? 7286 What is the square root of 240216846 to the nearest integer? 15499 What is the square root of 122780816 to the nearest integer? 11081 What is the cube root of 193434013 to the nearest integer? 578 What is the square root of 272949436 to the nearest integer? 16521 What is the square root of 4276168920 to the nearest integer? 65392 What is 1603683516 to the power of 1/2, to the nearest integer? 40046 What is the cube root of 14389972 to the nearest integer? 243 What is the square root of 9636437 to the nearest integer? 3104 What is 4037622503 to the power of 1/2, to the nearest integer? 63542 What is 29383890 to the power of 1/4, to the nearest integer? 74 What is the square root of 1133509218 to the nearest integer? 33668 What is the square root of 92667176 to the nearest integer? 9626 What is 75101847 to the power of 1/10, to the nearest integer? 6 What is 52358196 to the power of 1/5, to the nearest integer? 35 What is the third root of 13957775 to the nearest integer? 241 What is 3048120 to the power of 1/2, to the nearest integer? 1746 What is the cube root of 1006948913 to the nearest integer? 1002 What is the fourth root of 222977823 to the nearest integer? 122 What is the third root of 1032353421 to the nearest integer? 1011 What is the third root of 2054466458 to the nearest integer? 1271 What is the seventh root of 65625783 to the nearest integer? 13 What is the square root of 89440753 to the nearest integer? 9457 What is 2165751995 to the power of 1/2, to the nearest integer? 46538 What is 2475895679 to the power of 1/2, to the nearest integer? 49758 What is the square root of 847236274 to the nearest integer? 29107 What is the eighth root of 216675730 to the nearest integer? 11 What is the third root of 316135759 to the neares
{ "pile_set_name": "DM Mathematics" }
/12 + 131/(-15) and r. 45 Let r = 118 - 437. Let f = -17 - r. Calculate the least common multiple of 14 and 18/42 + f/14. 154 Let o(b) = -45*b - 237. Let t = -5 - -38. Calculate the lowest common multiple of o(-6) and t. 33 Let a be 4/(-2)*(-15)/6. Let y = a - 2. Suppose -40 = -s - y*s + 4*v, -3*s = 4*v - 58. Calculate the lowest common multiple of 18 and s. 126 Let l = -11093/8 - -1377. Let j = 6 + -8. Find the common denominator of (j/(-21))/((-4)/276) and l. 56 Suppose 5*h = 242 - 727. Let p = h + 149. Find the common denominator of (-1911)/p*(-3)/(-7) and -93/8. 8 Let t be 2/9*2130274/(-16). Let v = -29585 - t. What is the common denominator of -63/8 and v? 72 Let a = 316033/6 + -52223. Let d = a + -14899/33. Calculate the common denominator of d and (-2)/(((-16)/138)/(-2)). 22 Let f = 1205 - 861. Find the common denominator of f/192 + 1/4 and -28/3. 24 Let g be ((-176)/(-33) - 2/6) + 2. What is the common denominator of 37/42 and ((-21)/(-6))/(1/g)? 42 Let q = -13617400183/7054386 + 1289587/673. Let p = q + 3/1747. Calculate the common denominator of 66/(-14)*2/3 and p. 42 Let p = -7587 - -2867. Calculate the common denominator of ((-2)/(-10))/(352/p) and 6/(-20) + (-1)/1. 110 What is the common denominator of ((-3)/6)/(12/279) and 6*(-8 + 1837/220)? 40 Suppose 5*c + 2*y - 15 = 23, y = 4. What is the common denominator of 1 + (-1 - 77/10) and 75/4 - c/12? 20 Let g = 12 + -8. Suppose 8 = 2*u - g. Suppose w = 7*f - 9*f + 3, -5*w + 2*f + 27 = 0. Calculate the least common multiple of w and u. 30 Let p be -3*15*(-63)/15. Suppose 2*j + 5*j - p = 0. Calculate the smallest common multiple of 15 and j. 135 What is the common denominator of -5/18 and (7 + 105/(-98))*(0 - 1)? 126 Let w(k) = k**3 - 6*k**2 + 5*k + 2. Let u(r) = -r**2 + 33*r + 193. Calculate the smallest common multiple of u(38) and w(5). 6 Let p = 90 + -82. What is the common denominator of (226/(-72) + 5)/((-2)/p) and 5/3? 9 Suppose 0 = 8*h + 240 - 872. What is the smallest common multiple of 5 and h? 395 What is the lowest common multiple of 0 - -2*152/4 - -1 and 5? 385 What is the common denominator of 133/220 and 2608/(-616) + ((-8)/(-4) - -3)? 1540 Let i = 285 - 281. What is the lowest common multiple of 3 and i? 12 Suppose 56*g = -43 + 211. What is the lowest common multiple of 180 and g? 180 Let z = -50 - -70. Suppose 4*d + p + 1 = 6, -5*p - 15 = 0. Suppose -d*v - v = -2*s - 14, -s - 35 = -5*v. What is the least common multiple of v and z? 40 Calculate the lowest common multiple of ((-3)/(-4))/((-69)/(-1380)) and 345. 345 Suppose -32 = -2*g - 2*g. Suppose -60 = -4*f + 2*q, -3*q - 13 + 49 = 3*f. What is the lowest common multiple of g and f? 56 Calculate the least common multiple of 116 and 15 - (7 + -4) - 0. 348 Let f = -17 - -12. Calculate the common denominator of 1239/270 + (-9)/f + -2 and 31/56. 504 Suppose 2*p = -2*c + 21 - 3, 0 = 4*c - 4*p - 76. Suppose z - 8 = 10. What is the smallest common multiple of z and c? 126 Suppose -2*u + 14 = -2*s, 3*u - 8 = -5*s + 21. What is the smallest common multiple of u and 14? 56 Let o(g) = -g + 3. Let k = -521/6 - -1261/12. What is the common denominator of o(-18) and k? 4 Suppose 4*s - 54 = -18. Let i = -52 + s. Calculate the common denominator of i and 3/(-10)*(-42)/9. 5 Let o(d) = d**3 + 16*d**2 + 4*d + 81. Calculate the lowest common multiple of 102 and o(-16). 102 Let i = 28/37 - 487/888. What is the common denominator of i and -29/16? 48 Let k be 35408/(-4256) - -1*(0 + -1). Let u = -116/19 - k. Find the common denominator of u and 43/38. 266 Suppose -6*b - 15*b = -2562. What is the smallest common multiple of b and 3? 366 Let c = -4553 + 191269/42. Find the common denominator of 69/14 and c. 42 Let k(y) = -3*y**2 - 12*y. Let z(g) = -g - 16. Let j be z(-10). Let f be k(j). What is the lowest common multiple of 5 and (-16)/8 - f/2? 80 Let b = 474 + -252. Calculate the common denominator of -19/5 and (-8)/(-32) - b/152. 95 Let d be -1 + -103*(-2)/28. Let w = -683/70 + d. Let l = -2515 + 20171/8. What is the common denominator of l and w? 40 Let w = 28 - -47. Suppose -v = 2*v - w. Let f = v - 15. Calculate the smallest common multiple of 9 and f. 90 Let o = -9694 + 21553. Let v = -569285/48 + o. What is the common denominator of v and -125/6? 48 Suppose -184*z + 400 = -174*z. Calculate the smallest common multiple of 80 and z. 80 Let t be (2/(-5))/((-28)/394135). Let a = 11294789/2006 - t. Let w = 48177/11033 - a. Find the common denominator of w and 39/11. 11 Let b(o) = -7 + 5*o - 2*o**2 + 0 - 3 - o**3 + 6*o**2. Suppose 2 - 5 = -z. Calculate the least common multiple of z and b(4). 30 Let q = 8/1725 - 129439/13800. Suppose -2*s - 631 = -m, -5*m = -s - m - 319. Find the common denominator of s/(-12)*1/3 and q. 8 Let g = 105/44 - -9/44. Let w = 5554587/71 + -78231. Let d = w + -8551/852. Calculate the common denominator of d and g. 132 Let f be (-60)/(-8)*(-4)/(-357). Let b be 846/231*(2 - 169/51). Let y = b + f. Calculate the common denominator of y and 44/3. 33 Let j = -14 - -32. Let y(k) = -16*k**2 + 4*k + 2. Let i be y(-1). Calculate the smallest common multiple of j and i/(-4) + 30/(-12). 18 Calculate the least common multiple of (55/44)/(-1*(-1)/8) and 40. 40 Suppose 39*q - 26*q = 1209. Calculate the smallest common multiple of q and 11. 1023 Let s = -60701/50 - -1214. What is the common denominator of s and 48/35? 350 What is the common denominator of (-5 - ((-1245)/48)/5)/(-3) and 6/5? 80 Let r(p) = -p - 2. Let j = -1 - 1. Calculate the lowest common multiple of r(-8) and (-20 + -4 - j)/(-2). 66 Let v = -662123/24 - -27593. What is the common denominator of v and 3/68? 408 Let y = 9647/2049 - -1/5464. Suppose 0 = -4*t + 4*m + 100, 3*t + 2*m - 3*m = 65. Calculate the common denominator of y and (208/t - 3)/((-14)/5). 168 Find the common denominator of 33/8 and (45/(-12))/((-80)/(-60)). 16 Suppose 0 = 5*r - 5*b - 1 + 11, 0 = 3*r + b + 6. Calculate the lowest common multiple of (4/(-8))/((-1)/86) - r and 9. 45 Let h = 1475 + -7351/5. Let a = 2 + -10. Calculate the common denominator of h and 24*(-1)/(84/a). 35 Let a(x) = -3*x**3 - 3*x**2 + 2*x + 4. Calculate the smallest common multiple of 36 and a(-2). 36 Suppose 9 = -t + 13. Calculate the lowest common multiple of t and (-1 - 3) + 18 + 6 + -6. 28 Let n = -764 + 1324. What is the common denominator of ((-524)/n*-4)/(-2) and -33/2? 70 Let t = 2/311 + 5887/3421. Let v be 147/244 - (-1)/4. Let c = 9157/366 - v. Calculate the common denominator of c and t. 66 Suppose 0 = -3*o - 8*o + 7766. Let n = -10537/2 - -5939. Let s = n - o. Find the common denominator of 33/14 and s. 14 Suppose -274 + 78 = -49*r. Let l(h) be the third derivative of -h**6/120 - 7*h**5/60 + h**3/2 - 3*h**2. What is the lowest common multiple of r and l(-7)? 12 What is the lowest common multiple of 110 and 4/(-5) + 1003/85? 110 Let c = -2645 + 2675. Calculate the smallest common multiple of c and 282. 1410 Let f = -26622/7 + 1703791/448. Calculate the common denominator of f and -73/4. 448 Let j = -57/5 + 1021/90. Calculate the common denominator of 2319/420 + 1/(-7)*-3 and j. 180 Let r = -20207/6 + 3360. Find the common denominator of r and 21/22. 66 Let n = -2/8181447 - -929158754383/163628940. Let s = -5676 + n. Let d = 1172/5 + -491/2. What is the common denominator of s and d? 20 Let z(y) = -10 + y**3 + 5*y**2 + 9*y - 7*y**2 - 26*y - 15*y**2. Let p = -4 - -5. What is the least common multiple of p and z(18)? 8 Suppose 24*u + 289 = 3457. What is the smallest common multiple of u and 3? 132 Let f = -5566/3 + 1838. Calculate the common denominator of 61/39 and f. 39 Let z(f) = 2*f**2 - 4*f - 1. Let k be z(3). Suppose 3*y - k*u = 56, u + 7 + 42 = 2*y. Calculate the smallest common multiple of y and 4. 108 Let a = 3870818 + -658041507/170. Let c = -379/17 - a. What is the common denominator of c and 48/17? 170 Suppose 33 + 3 = -9*q. Find the common denominator of 88/15 and q - 51/90*-13. 30 Let y = -1382091289858/4147 - -333274964. Let q = y + -16/377. Let f = -124/63 + 27/7. Calculate the common denominator of f and q. 99 Suppose 244 = -2*y - 0*y. Let k = -337 - y. Calculate the common denominator of 20/(-8)*k/175 and -73/42. 42 Let l(x) = -5*x - 1. Suppose -4*s - s = 25. Let r be l(s). Find the common de
{ "pile_set_name": "DM Mathematics" }
= -3*u**3 - 5*u - 4. Suppose -4*z - 21 = -3*j + 8, 0 = 2*j - 3*z - 21. Determine j*g(x) + 5*d(x). x**3 - 2 Let t(j) = -3*j - 2. Suppose r - 3*r + 168 = 0. Let i be (-4)/10 - r/15. Let q(n) = -4*n - 3. Calculate i*t(b) + 4*q(b). 2*b Let n(h) = -12*h - 1. Let p(y) = 13*y + 2. Give 4*n(b) + 3*p(b). -9*b + 2 Suppose -16 = -5*k + k, 5*k - 18 = -t. Let q(a) = a + 3*a - a**3 - 3*a + 1. Let l(j) = 6*j**3 - j**2 - 7*j - 7. Give t*l(d) - 14*q(d). 2*d**3 + 2*d**2 Let j(v) = 2*v**3 - 5*v**2 + 5*v + 5. Let x(k) = -6*k**3 + 3*k**2 + 5*k**3 + 25*k - 28*k - 3. Give -3*j(y) - 5*x(y). -y**3 Let a(f) = f**2 + 1. Let y(w) = w**2 - w + 4. Suppose 1 + 5 = 6*d. What is d*y(m) - 4*a(m)? -3*m**2 - m Let a(d) = -d + 1. Let w(q) = -2*q**2 + 7*q. What is -a(y) - w(y)? 2*y**2 - 6*y - 1 Let z(a) = 5*a**2 - 2*a - 2. Let l(u) = 11*u**2 - 5*u - 4. Suppose 2 - 9 = n. Calculate n*z(r) + 3*l(r). -2*r**2 - r + 2 Let y(a) = -2*a**3 - 5*a + 5. Let j(m) = -m**3 - m + 1. Let l(h) = h**2 - 17*h - 33. Let p be l(19). Give p*j(s) - y(s). -3*s**3 Let f(p) = 10*p**3 - 11*p. Let a(c) = -5*c**3 + 5*c. Give -7*a(o) - 3*f(o). 5*o**3 - 2*o Let i(v) = 2*v + 0*v - v. Suppose -6*x + 74 = 206. Let a(p) = 12*p + 1. Calculate x*i(r) + 2*a(r). 2*r + 2 Suppose g = 6*g - 15. Let d(h) = -g - h - 2*h + 4*h. Suppose c - 5*c + 16 = 0. Let r(u) = 2*u - 7. Determine c*r(b) - 9*d(b). -b - 1 Let t(p) = -42 - 5*p + 41 + 6*p. Let m(a) = 1. What is m(g) + 3*t(g)? 3*g - 2 Let o(g) = -30*g - 10. Let w(l) = 1. Calculate -o(a) - 10*w(a). 30*a Let f(z) = -3*z**3 - 2*z + 7. Let h(v) = -10*v**3 - 7*v + 22. Calculate 7*f(j) - 2*h(j). -j**3 + 5 Let g(x) = -16*x + 6. Let i(o) = 17*o - 5. Determine -5*g(d) - 6*i(d). -22*d Let s(b) be the first derivative of -5*b**2/2 + 5*b + 8. Let c(i) = -i + 1. Calculate -6*c(p) + s(p). p - 1 Suppose 4*s - 10 = -2. Let x = 6 + -7. Let u(d) = -d**2 - d + 1. Let w(z) = -4*z**2 + 3. What is s*u(g) + x*w(g)? 2*g**2 - 2*g - 1 Let g(b) = 4*b - 3 - 1 + 2. Let n(w) = -4*w + 3. Let z(o) = -3*g(o) - 2*n(o). Let k(m) be the second derivative of -m**3/2 + 32*m. Calculate -5*k(c) + 4*z(c). -c Suppose 6*i - i = 10. Let t be (i - 3)*(0 + -2). Let l(j) = -j**3 + 0*j**2 + 0*j**t - j**2. Let v(o) = -7*o**3 - 3*o**2. Give 5*l(n) - v(n). 2*n**3 - 2*n**2 Let t(k) = 2*k**2 - 4*k - 3. Let o(c) = c**2 - c + 1. Determine 5*o(z) - t(z). 3*z**2 - z + 8 Let p(i) = 13*i**2 - 6. Let o(n) = -1. Calculate -6*o(f) + p(f). 13*f**2 Let o(z) = -z**3 - 2*z**2 + 6*z + 5. Let g(u) = -u - 1. Let y(f) = 5*f**2 - 1. Let w = 8 - 9. Let v be y(w). Suppose -l - v = -3. What is l*o(a) - 6*g(a)? a**3 + 2*a**2 + 1 Let k(d) = 4*d**2 + 9*d - 5. Let v(z) = -z**2 + 1. Calculate -k(y) - 3*v(y). -y**2 - 9*y + 2 Let s(d) = d. Let i(u) = 7*u**2 - 7*u + 6. Let p(q) = 6*q**2 - 6*q + 5. Let b(y) = 5*i(y) - 6*p(y). Determine b(z) + s(z). -z**2 + 2*z Let i(f) = -f**2 - f + 1. Let y(j) = j**3 - 8*j**2 - 3*j - 2. Let p(d) = 3*i(d) - y(d). Let t be 5/9*3*-3. Let s(k) = -2*k**2 - 2. Calculate t*s(l) - 2*p(l). 2*l**3 Let g(l) = -40*l + 22. Let x(d) = 13*d - 7. Calculate -5*g(y) - 16*x(y). -8*y + 2 Let o(r) = 190*r**2 - 55*r + 55. Let s(m) = 7*m**2 - 2*m + 2. Calculate 2*o(w) - 55*s(w). -5*w**2 Let c(i) = -4*i**3 + 13*i**2 - 9*i - 25. Let y(z) = z**3 - 4*z**2 + 3*z + 8. Give -2*c(t) - 7*y(t). t**3 + 2*t**2 - 3*t - 6 Let o = -15 + 11. Let a be (2 + o)*9/2. Let h(n) = -8*n**3 + 13*n**2 + 5. Let d(c) = -3*c**2 + 2*c**3 - 2 - 2 + 3 + 0. Calculate a*d(j) - 2*h(j). -2*j**3 + j**2 - 1 Let b(y) = y**2. Let p(c) = -7*c**3 + c**2 + 2*c + 1. Let m be p(-1). Suppose 0 = -l - m + 6. Let f(w) = 5*w**2. Determine l*f(j) + 4*b(j). -j**2 Let j(w) = 9*w**3 + 5*w**2 + 3. Let x(o) = -2*o**2 - o**3 - 6*o**3 - 2*o**2 - o**3 - 2. Calculate 6*j(r) + 7*x(r). -2*r**3 + 2*r**2 + 4 Let n(i) = 16*i**3 + 3*i**2 + 3*i + 3. Let u(q) = -112*q**3 - 20*q**2 - 20*q - 20. Determine -40*n(p) - 6*u(p). 32*p**3 Let h(m) = 4*m**2 - m - 2. Let s(k) = -k**2 + 1. Calculate -h(g) - 3*s(g). -g**2 + g - 1 Let v(d) = -2*d + 1. Suppose -25 = -5*t - 2*q, -6 - 10 = -2*t - 2*q. Suppose h + t = 5. Let k(r) = -h - 2 + 5 + 2*r - 3*r. What is -k(f) + v(f)? -f Let g(s) = 5*s**2 + 40. Let n(f) = f**2 + 8. What is -2*g(q) + 11*n(q)? q**2 + 8 Let n be (14/(-3))/(9/(-27)). Let m(w) = 6*w**3 - 3 - 7*w**2 + n*w**2 + 7*w - 2. Let h(i) = -5*i**3 - 6*i**2 - 6*i + 4. Give -7*h(b) - 6*m(b). -b**3 + 2 Let m(x) = -x**2 + x - 1. Let j(v) = -v**2. Let q(w) = w**3 + 4*w - 4. Let u(n) = -4*j(n) - q(n). Determine 12*m(a) + 3*u(a). -3*a**3 Let v(f) = 105*f. Let q(r) = -11*r - 7. Let y(t) = t + 1. Let g(u) = -2*q(u) - 14*y(u). What is -27*g(h) + 2*v(h)? -6*h Let y(q) = -q - 8. Let t be y(-9). Let s(f) = 2*f + 6. Suppose 8 = 2*k - 2. Let l(p) = -1. What is k*l(j) + t*s(j)? 2*j + 1 Let h(n) = 7*n**3 - 13*n**2 - 7*n. Suppose 2*t + 34 = 7*t + 2*x, -4*t = 5*x - 34. Let p(g) = 7*g**2 + 10 - 10 - 4*g**3 + 4*g. What is t*h(f) + 11*p(f)? -2*f**3 - f**2 + 2*f Let d(g) be the first derivative of 2*g**3/3 - g + 18. Let s(m) = m**2 - 1. Let h(w) = -w**2 - 8*w - 8. Let f be h(-7). What is f*d(o) + s(o)? -o**2 Let b(u) = 4*u**2 - 13*u + 4. Let r(p) = -6*p**2 + 20*p - 6. What is -8*b(l) - 5*r(l)? -2*l**2 + 4*l - 2 Let x(l) = -2*l + 1. Let r(o) be the third derivative of -5*o**4/12 + o**3 + 41*o**2. Give -2*r(q) + 11*x(q). -2*q - 1 Let j be (2 + -2 - 1)*-2. Suppose 3*x = -4*t + 22, j = 5*x - 2*t - 0. Let v(p) = x*p - 2*p + 2*p - 11. Let g(z) = z - 4. Determine -8*g(s) + 3*v(s). -2*s - 1 Let f(k) = 6*k**3 + 4*k**3 - 5*k - 2*k - 7 - 5*k**3. Let s(j) = 0*j**3 + j**3 + 6*j + 1 - 5*j**3 + 5. What is -6*f(z) - 7*s(z)? -2*z**3 Let p(h) be the third derivative of -5*h**4/24 - 7*h**3/6 + h**2. Let r(a) be the second derivative of -2*a**2 + 0 - 2*a - 1/2*a**3. Determine 4*p(m) - 7*r(m). m Let h(w) = -14*w**2 + 2*w - 2. Let u(q) = 14*q**2 - 3*q + 3. Calculate 3*h(r) + 2*u(r). -14*r**2 Let n(p) = p**2 + p. Let g(i) = i**3 + 3*i**2 + 3*i. Let o(y) = -g(y) + 5*n(y). Let w(x) = -2*x**3 + 3*x**2 + 2*x + 1. Calculate 3*o(q) - 2*w(q). q**3 + 2*q - 2 Let g(m) be the first derivative of m**3/3 + m**2 - 2*m - 2. Let u(f) = f**2 - 8 + 11*f + 4*f**2 + f**2 - 3. What is -11*g(r) + 2*u(r)? r**2 Let a(l) = -4*l**3 - 3*l**2 - 3*l. Let o(b) = -3*b**3 - 3*b**2 - 2*b. Calculate -2*a(s) + 3*o(s). -s**3 - 3*s**2 Let i = -51 + 9. Let j = i + 16. Let l(a) = a - 1. Let m(q) = 4*q - 4. Calculate j*l(n) + 6*m(n). -2*n + 2 Let d(i) = -2*i**2 - 2*i - 5. Let b(h) = 8*h**2 + 9*h + 19. Determine 2*b(j) + 9*d(j). -2*j**2 - 7 Let w(i) = 4 - 2*i - 2*i + 3*i - 2*i**2 + 6*i. Let s(p) = 3*p**2 - 9*p - 7. Give -3*s(o) - 5*w(o). o**2 + 2*o + 1 Let y(k) = -11*k**2 - k + 2. Let g(p) = -22*p**2 - 2*p + 3. Determine 6*g(s) - 10*y(s). -22*s**2 - 2*s - 2 Let j(m) = m. Let z(b) = -b**3 + b. Let r be (-1)/(4/5 + -1). Suppose -2*w - 2 = 2*s, -w - r + 0 = 5*s. What is s*z(n) + j(n)? n**3 Let g(f) = 5*f**3 - 9*f**2 + 2*f + 7. Let h(p) be the second derivative of -p**5/5 + 2*p**4/3 - p**3/3 - 3*p**2 + 20*p. Calculate -6*g(y) - 7*h(y). -2*y**3 - 2*y**2 + 2*y Suppose 3*v - 12 = 9*v. Let q(t) be the first derivative of -t**2/2 + 2*t - 1. Let k(j) = 2*j - 5. Determine v*k(c) - 5*q(c). c Let d(x) = -3*x**3 + 7*x**2 + 11*x - 8. Let q(f) = 2*f**3 - 5*f**2 - 7*f + 5. Let h(p) = 5*d(p) + 8*q(p). Let j(y) = 6*y**2 + y. What is 4*h(m) + 3*j(m)? 4*m**3 - 2*m**2 - m Let h(y) = y + 0 + 3 + 0. Let f(k) = -k - 4. Let l = 4 + 3. What is l*h(t) + 5*f(t)? 2*t + 1 Let n(j) = -1. Let b(m) = 2*m - 3. Determine -b(t) + 2*n(t). -2*t + 1 Let c(v) = -4*v - 4. Suppose 1 - 4 = -3*q. Let y(l) = q + 7 + 1 + 9*l. Calculate -13*c(f) - 6*y(f). -2*f - 2 Let s(k) = 6*k**2 + 9*k + 9. Suppose -8 = 7*u + u. Let n(o) = o**2 + o + 1. Calculate u*s(l) + 9*n(l). 3*l**2 Suppose -3*s - 5*q = -11, -4 = -2*s + q - 1. Let o(b) be the second derivative of 0 - b - b**2 - 1/2*b**3. Let k(p) = -p**3 - 7*p - 5. What is s*k(t) - 5*o(t)? -2*t**3 + t Let o(d) be the second derivative of 7*d**4/12 - 13*d**3/6 - 5*d. Let v(m) = 3*m**2 - 6*m. What is -6*o(g) + 13*v(g)? -3*g**2 Let q(z) = 9*z + 13*z**2 + 5*z**3 + z**3 + 4*z + 3*z**3. Let b(g) = -2*g**3 - 7*g**2 + g. Let t(m) = -m**2 + m. Let o(v) = b(v) - 4*t(v). Give 26*o(h) + 6*q(h). 2*h**3 Suppose -4*s - 3 + 11 = 0. Let r(p) = 3*p**2 - 4*p + 2. Let q(d) = -16*d**2 + 21*d - 11. Give s*q(y) + 11*r(y). y**2 -
{ "pile_set_name": "DM Mathematics" }
to 723924? True Is 18.662 <= -21? False Which is smaller: 871 or 1164? 871 Which is greater: 4.5 or -1764? 4.5 Which is greater: 3656 or -26? 3656 Which is smaller: 4/859745 or 0? 0 Is 250 >= 1044? False Is -3/4 at least as big as -155.77? True Is 5/33926 equal to 0? False Is 57930 >= 57932? False Is 9188 != 9186? True Is -18892/15 != -1260? True Are -1/2 and -0.1467104 nonequal? True Which is greater: -205216 or -205227? -205216 Is -1 smaller than -1/1177? True Which is smaller: -10 or 6567? -10 Which is greater: 0.1788 or -39/10? 0.1788 Which is smaller: 30796 or 30801? 30796 Is 80409 smaller than 80453? True Which is bigger: -5303/42 or -127? -5303/42 Which is smaller: -457 or -326? -457 Is -1.8947 smaller than -0.6? True Is -1461 less than -20/19? True Is 6170 != 6172? True Which is smaller: -9898 or -9886? -9898 Do -31 and -42207 have different values? True Which is smaller: 0 or 2/33359? 0 Which is smaller: 2/7 or -194.62? -194.62 Is -33900 <= -33890? True Is -54 at most as big as -4501/83? False Which is smaller: -123/242 or -2? -2 Which is greater: 1 or 364/18505? 1 Is -143 bigger than -542? True Which is greater: -668 or -224? -224 Is -669 smaller than -3342/5? True Is -8/64961 not equal to 1? True Is 24898 != -2? True Does -6 = 0.04895? False Which is bigger: 2/5 or 34071? 34071 Are 5949 and 5947 non-equal? True Is 1 != 1242/2627? True Is -458823 equal to -458820? False Which is greater: 0.08 or -0.00485? 0.08 Which is greater: 2/401501 or 1? 1 Which is greater: 31 or -1839? 31 Which is smaller: -2954 or -3621? -3621 Is -126768 smaller than -126774? False Is -400/201 < -2? False Which is smaller: -84449 or -84491? -84491 Which is smaller: -5 or 410688? -5 Is 1690707 at least as big as 1690707? True Are 84655 and 84655 unequal? False Does -727014 = -727013? False Is -1 less than or equal to 1/870040? True Is -1.6539 < -19? False Does -26358 = -26377? False Which is smaller: -87 or -64? -87 Are -11338 and -2/9 nonequal? True Which is bigger: 7 or 2459/309? 2459/309 Which is smaller: 4/7 or 3608/5? 4/7 Which is smaller: -696028/5 or -139207? -139207 Which is greater: -9835 or -9839? -9835 Which is smaller: 5/27 or 1406? 5/27 Which is greater: 17/19317 or 1? 1 Is 56468 != 56469? True Is 614 at most 989? True Which is smaller: -741 or 58? -741 Which is smaller: 32/104669 or -1? -1 Are 294 and 1060 unequal? True Which is bigger: -1 or 1/90717? 1/90717 Which is smaller: 54/2699 or 0? 0 Is -224 less than or equal to -406? False Which is smaller: -707 or 173? -707 Is -64 greater than or equal to 14991? False Is 4/33283 greater than 1? False Which is greater: -739 or -799? -739 Which is smaller: -90974 or 8/3? -90974 Is 153556 smaller than 153556? False Which is smaller: 1576 or 279? 279 Which is greater: 2/1691 or -0.037? 2/1691 Which is smaller: 220974 or 220981? 220974 Is -311.1 at least 3? False Is 1/623 at least as big as 2/6081? True Is 2571 at least as big as 2567? True Which is smaller: -0.10722 or 2/15? -0.10722 Which is greater: 2064 or 2049? 2064 Is 0 at least as big as -1/57394? True Is -4/3305 equal to -1? False Is 2743 < 2752? True Is 196169 smaller than 196169? False Which is bigger: 563/530 or 1? 563/530 Does 87 = -3824? False Is 3934 less than -890? False Is -1019862 less than -1019858? True Is 123914 > 123915? False Is -63616 at most as big as -4? True Is 60675 less than 60676? True Which is smaller: -4.6 or -509? -509 Which is smaller: 113/1246 or 1? 113/1246 Is 0 equal to 2/658577? False Which is smaller: -1344 or -1464? -1464 Which is smaller: -20146/845 or -25? -25 Is 0 equal to 35/832536? False Which is smaller: -1 or -610415? -610415 Which is bigger: -129780 or -129781? -129780 Which is greater: -36809 or -36790? -36790 Which is smaller: -2415 or 3/29? -2415 Is -0.11 < 1/42? True Is -77389 bigger than -386946/5? True Is -3712 at least as big as -3732? True Which is smaller: -5042 or -5093? -5093 Is -516898 bigger than -516899? True Which is smaller: 12280/309 or 41? 12280/309 Which is greater: 133 or 143? 143 Which is smaller: 140599 or 984195/7? 140599 Do 587788 and 587788 have the same value? True Is 35378 >= 35379? False Is -2/14103 greater than or equal to 1? False Which is smaller: 112921/5 or 22585? 112921/5 Which is smaller: 7693 or 61533/8? 61533/8 Which is smaller: -1199633/11 or -109059? -109059 Is 2/17 != -2.96? True Which is smaller: -17044 or -17048? -17048 Which is smaller: 211/1518 or 0? 0 Which is bigger: -1/2 or 3183932? 3183932 Which is greater: 2526 or -2/7? 2526 Which is bigger: 145178 or 1? 145178 Is -1185 < -135? True Which is smaller: -3 or -1166/311? -1166/311 Which is greater: 342533 or 342535? 342535 Which is smaller: -85492 or -85467? -85492 Are -16791 and -16791 equal? True Is -5/831979 not equal to 1? True Which is bigger: 78149 or 78148? 78149 Is 88 less than -3/3830? False Are 5983 and 173474/29 unequal? True Is -74059 > -74065? True Which is bigger: 1073365 or 0.1? 1073365 Which is smaller: -31245/11 or -2841? -2841 Which is smaller: -15 or 44948? -15 Which is bigger: -173 or -21666/125? -173 Which is smaller: 6284 or 6287? 6284 Which is smaller: 6 or 17.41? 6 Which is smaller: 1/5 or 180? 1/5 Which is greater: -12624 or -12641? -12624 Does -6926 = -76200/11? False Are 3 and 12/9217 non-equal? True Is 1 bigger than 2/15734691? True Is 30136 equal to 30137? False Which is smaller: -1 or 1528485? -1 Which is bigger: -17 or -1529? -17 Which is greater: -64/29 or 11.8? 11.8 Which is bigger: 1420 or 693? 1420 Is -1636/5 bigger than -13? False Do -1364 and -1501 have the same value? False Is 1013/702 less than or equal to 0? False Is 34308 > 34306? True Is -1832 <= -18313/10? True Which is smaller: -5119 or 0? -5119 Is -24 less than or equal to -2171? False Which is bigger: -1 or -4/667565? -4/667565 Is -11/134663 > 1? False Is -8113234 smaller than -8113234? False Is 8/5 not equal to 187? True Which is smaller: -0.38 or 23155? -0.38 Is 1 > -1/507009? True Is 30 bigger than 18151/618? True Which is smaller: -36450 or -36454? -36454 Is 5/19069 > 0? True Which is greater: -34/6045 or -1? -34/6045 Which is smaller: 4 or -0.03946? -0.03946 Is 0 equal to 9/57698? False Is -2953 greater than -17713/6? False Which is smaller: 2001 or 1958? 1958 Which is bigger: -8.3769 or 1? 1 Which is bigger: 2.39 or -60.7? 2.39 Which is smaller: 2992430 or 2992431? 2992430 Which is bigger: 1780 or -40? 1780 Which is smaller: 142054 or 142076? 142054 Which is greater: -3/253355 or 1? 1 Is -446365 at most as big as -446368? False Which is smaller: 193283 or 193286? 193283 Is -4615 at least as big as -4625? True Do -318 and -15951/50 have the same value? False Which is greater: 8994 or 9007? 9007 Is 15/73 >= -10/7? True Is 1028958 >= 1028958? True Which is smaller: 0.0808 or -0.1047? -0.1047 Which is smaller: 14659 or 14662? 14659 Is 0 <= 2/1085055? True Which is smaller: -3439 or -44695/13? -3439 Is -172 at most as big as 161? True Is -296 at most -950? False Which is bigger: -1/63298 or -1? -1/63298 Which is bigger: -501 or -63491/127? -63491/127 Which is bigger: 1 or -14/15079? 1 Is 2894 at most 26054/9? True Which is smaller: -16363 or -16364? -16364 Which is bigger: -2/41 or 4862? 4862 Which is smaller: 0 or 26/543? 0 Is 1/3 at least as big as -423026? True Which is smaller: 4/511989 or -1? -1 Are 0 and -0.16734 non-equal? True Which is greater: -25017 or -150101/6? -150101/6 Are -384/17 and -2/271 unequal? True Is 1132554 smaller than 1132552? False Is -3306 <= -3289? True Which is smaller: -1 or -113/16200? -1 Are 8293 and 8291 nonequal? True Which is greater: 85277 or 85278? 85278 Which is greater: -7965 or -7966? -7965 Is 2/632421 equal to 1? False Which is bigger: 17 or -1/25? 17 Is -504030 smaller than -504024? True Is -10436 <= -73053/7? False Is 63435 > 63439? False Which is greater: 1/70049 or -1? 1/70049 Is 2820/451 equal to 7? False Which is bigger: -797 or -211? -211 Which is smaller: 923 or 179? 179 Is -9001 > -3/109? False Is 571649 bigger than 571649? False Which is bigger: 2092 or 106648/51? 2092 Which is bigger: 133344/19 or 7019? 7019 Does -22654/5 = -4530? False Is 2314 > 2394? False Which is smaller: -12684 or -12685? -12685 Is -833/1144 > 0? False Which is greater: 0 or -287709? 0 Which
{ "pile_set_name": "DM Mathematics" }
j (c) p a Let s be (-3)/12*(-2 + 1). Let t = 0.4 + -1.4. Let z = t - -1.5. Which is the nearest to 0? (a) s (b) z (c) -1 a Let v = 4.48 + -0.48. What is the nearest to -1 in 3/250, -1, v? -1 Let r = -6.5 + 6. Let b be 3/(-12)*-4*-3. Let u = -0.08 + 0.28. What is the closest to u in 1/3, b, r? 1/3 Let k = -317 + 316.7. What is the closest to 2 in k, 8, 5? k Let i = -67/474 + -2/79. Let w = 0.079 + 0.021. Which is the closest to -0.1? (a) w (b) 1/6 (c) i c Let d = 0.94 + -1. Let g = -0.0752 - -0.1752. What is the nearest to -0.1 in 3, d, g? d Let u be 4/12 - (2/2)/(-3). What is the closest to u in -3, 3, 1? 1 Let p = 6.5 - -0.5. Let q = -21 + p. Let i = 14.3 + q. What is the nearest to -1/2 in i, 2, 0.5? i Let y be ((-2)/14)/((-4)/14). Let m be 80/200 - 72/130. Which is the closest to 0.1? (a) m (b) y (c) -1/4 a Let h = -0.74 + -0.26. Which is the nearest to 0.2? (a) -2 (b) h (c) -0.4 (d) -4/5 c Let w = 5.024 - 2.024. What is the nearest to 0.1 in -1, 2/5, 9, w? 2/5 Let s be (-3 - 237/(-78))*4. Let r = 53 + -54. What is the nearest to 3 in s, -0.2, r? s Let j = 1254/7 + -179. What is the nearest to -0.1 in j, 3, -5? j Suppose 12*l = 16*l - m + 2, -2*l - 4*m + 8 = 0. What is the nearest to 1 in 0.5, -1, l? 0.5 Let d = 33 - 33. Let r = -1 + 0.9. Let l = r - d. What is the nearest to 0 in 0.3, 1/6, l? l Let h = 263 + -264. Let y = 0.02 + -0.22. Which is the nearest to y? (a) h (b) -4/3 (c) 0.5 c Let f = 313 + -312.9. Which is the nearest to f? (a) -2 (b) 1.28 (c) 2 b Let k = 37 - 45. Let x be -8 - (-3)/(-1)*k/8. Which is the closest to 1/3? (a) -2 (b) -2/3 (c) x b Suppose -4*s = 3*o - 24, 0*s - s - o = -7. Suppose s*n = -n. Let t = 2.0671 - 0.0671. Which is the nearest to n? (a) t (b) -0.3 (c) 1/7 c Let d = -15.93 + 16. Let j = d + -0.17. Let y = -54 + 51. Which is the closest to 4/5? (a) -1/4 (b) j (c) y b Let k = -0.016 + -2.284. Let v = 2.1 + k. Which is the nearest to -4? (a) 2 (b) v (c) -4/5 c Let h = -62 + 62. Let y = -8.3 - -8. Which is the nearest to -0.1? (a) y (b) h (c) 1/4 b Let g be 4/(-4)*4 + (-44)/(-12). Which is the closest to -7? (a) 3 (b) g (c) -2/7 b Let a = -44 + 42.9. Let j = -1 - a. What is the nearest to -1 in j, 0.05, 2/3? 0.05 Let w = -0.0898 + -40.0102. Let l = w + 40. What is the nearest to 9 in -0.2, l, 0? 0 Let s = -10.08 + 0.08. Let l = 38.5 + -29.5. Let y = l + s. Which is the nearest to y? (a) -3/8 (b) -1/5 (c) -0.1 a Let l = -6450 - -6453. Let y = 3 + -6. Which is the closest to 1? (a) 6 (b) l (c) y b Let z = -65/3 + 21. Let x = 22.07 + -22.1. Which is the closest to x? (a) -2/9 (b) -2 (c) z a Let q = 1.132 - -0.868. What is the closest to q in -4, -77, 5? 5 Let t = -1404 + 1406. Which is the closest to 7.3? (a) t (b) 0 (c) 2/13 a Let m = 2 + -1. Let k = -2313 + 16193/7. What is the closest to m in -5, 2, k? k Let k = -232 - -2090/9. What is the closest to k in -0.3, -0.4, 2.4, -4? -0.3 Let d be (30/(-24))/(-5)*-2. Let z = 0.4 + 0. What is the nearest to 0 in d, -0.1, z? -0.1 Let x = -42.8 - -42.3. Which is the nearest to -1? (a) 14 (b) 0.2 (c) x c Let g = 2/251 - 528/3263. Which is the nearest to 1/4? (a) 0.6 (b) g (c) 1/2 c Let g be ((-4)/(-104))/(33/(-4)). Let b be (2954/(-455))/(231/10). Let v = b + g. What is the nearest to v in -2/9, 4, 5? -2/9 Let y = -0.637 + 0.737. Which is the nearest to 7/3? (a) y (b) 2/5 (c) 2/7 b Let j = -4 + 20. Let w = j + -42. Let s = w + 15. What is the nearest to -0.1 in -0.1, s, -0.4? -0.1 Let g be -2*1*(-12)/(-40). What is the nearest to g in -3, -4, -1? -1 Let n = 1379 + -1374. What is the closest to 0 in 4, -1, 0, n? 0 Let x = 228.5 + -229. Which is the nearest to 0.2? (a) 0.3 (b) x (c) 1/2 a Let y = 20 - 17. Let q = 3.06 - y. Let t = q - 0.46. What is the nearest to 2/5 in 2/7, t, -0.5? 2/7 Let v = 223/553 - -2/79. Let h = -17 + 17. Let m = h + -0.4. What is the nearest to 1 in m, 5, v? v Let z be 44/3 - 1/(-3). Suppose 0*t + z = 3*t. Let f = 0 + -1. What is the nearest to f in t, 4, 0? 0 Let c = 2215 + -2209. Let m = -79/15 + 17/3. What is the nearest to m in 0.3, c, 2? 0.3 Let q be ((-16)/(-30))/(7 + 174/(-30)). Let s = 0.02 - -10.98. Which is the closest to 0.2? (a) s (b) q (c) 0 c Let y = -673.9 + 674. What is the closest to 0.1 in -0.3, y, -0.06, -1/2? y Let n be (-46)/16 - (-4 + 165/40). Let u = 2/147 + -44/147. Which is the nearest to n? (a) 1 (b) u (c) 3 b Let t = -31/10 + 5/2. Let p = -12/17 + 67/119. Which is the closest to p? (a) t (b) -1/5 (c) 0.3 b Suppose 15*g - 18*g = -30. Let i be g/(-6) - (-22)/66. Which is the closest to -2/5? (a) 2/5 (b) -2 (c) i a Let y = -6.762 + 6.7. Let n = -3.938 + y. Which is the closest to 1? (a) n (b) 5/7 (c) 1 c Let c be (-20)/(-8)*(-2488)/(-1330). Let i = 32/7 - c. What is the nearest to 0 in 5, i, -1? i Let p = 77.9 + -82.27. Let v = p - -4.5. What is the closest to 1 in 4, v, 0.3? 0.3 Let t = 165/4 + -41. Let a = -1.4 - -2.4. Let h = 24 - 49/2. What is the closest to h in t, 4, a? t Let l = -0.153 - -0.633. Let g = 0.28 - l. What is the closest to -0.1 in -0.1, g, 7? -0.1 Let w(p) = p**3 + 3*p**2 - 3*p - 5. Let y be w(-4). Let n be 2/(-1 + y)*-4. Let m = 96 - 97. Which is the closest to 1/4? (a) n (b) m (c) -0.4 a Let y = -9 + 4. Let f = 0.04 + 2.96. Suppose 0 = 273*w - 279*w. What is the closest to w in y, -2/21, f? -2/21 Let i = 2098 + -20981/10. Which is the closest to -1? (a) 4 (b) 1/5 (c) i (d) 43 c Let h = 521 - 520.6. Suppose -3*r = -4*d - 0*r + 35, 27 = 4*d + 5*r. Which is the closest to -1? (a) h (b) d (c) 2/9 c Let o = -19.993 - 0.007. Let i = o + 22. Which is the nearest to 0? (a) 1/2 (b) i (c) 0.1 c Let f = -4/15 + -8/15. Suppose 0 = -2*t - 11 + 3. Let j = -4 + 2. Which is the closest to j? (a) t (b) 0.3 (c) f c Let l = -6 - -5.6. Let x = -1.2 + 14.2. Let h = x - 12. Which is the closest to h? (a) l (b) 1/9 (c) 0.1 b Let t(g) = -5*g + 3. Let y be t(-2). Suppose 4*q - 33 + y = -5*v, -5*v = q - 20. What is the nearest to q in -0.5, -2/5, 5? -2/5 Let v = 1.5 - 2. Let g = 5345 - 5345.1. Which is the closest to g? (a) v (b) 3 (c) -12/5 a Let m = -169 + 339/2. Let s be 24/(-60) + 8/70. What is the nearest to s in m, -0.1, -3? -0.1 Let f = -6 + 31. Let d = f + -51. Let g = d + 28. Which is the closest to g? (a) -4 (b) 2/5 (c) 0 b Let v = 69.4 - 69.7. Which is the nearest to 0? (a) 0 (b) -0.07 (c) v (d) 0.2 a Let l = -0.088 - 3.912. Let z be (1 + 14/(-16))*-6. Let t = -53.3 + 53. Which is the nearest to -4? (a) t (b) l (c) z b Let q = -15/22 + 2/11. Let f = -2829/18304 + 1/1408. Let r = 86/7 + -12. Which is the closest to q? (a) f (b) 0.3 (c) r a Let d = -252 - -93. Let u = -1747/11 - d. Suppose 0 = 4*l - 2*l. Which is the nearest to u? (a) 5 (b) -4 (c) l c Let b = -644 + 643.96. What is the closest to b in -0.2, -1, -4? -0.2 Let m = -1.51 + 1.61. Let l = 0 - 0.1. What is the nearest to m in l, -4, 5? l Let v = 2.11 - 2.14. What is the nearest to 0.1 in 7, -0.4, v? v Let a(w) = w**3 - 22*w**2 - 50*w - 42. Let f be a(24). What is the nearest to -2 in 1, -0.5, f? -0.5 Let v = -7 + 6.7. Let q = 6408.1 + -6408. Which is the closest to 2/5? (a) 4/9 (b) v (c) q a Let t = 17 - 17. Let i = 117 + -115. What is the closest to t in i, -0.01, -0.1? -0.01 Let s = -4844/477 + 126/53. Let w = -8 - s. Let g = 25 + -24. What is the nearest to g in -2, 1, w? 1 Suppose 0 = 2*d + 4*v - 12 - 0, -2*d + 2*v = -12. Which is the closest to -3? (a) -4/3 (b) -0.4 (c) d a Let v be (-6)/(-8)*1/(-2). Let d(k) = -9*k - 189. Let u be d(-21). Let g = 0.03 + 1.97. Which is the closest to g? (a) u (b) -0.4 (c) v a Let y(w) = -16*w - 6. Let n be y(-4). Let r = n - 113/2. Let o be 6/21 + (-1)/(-21). Which is the closest to 0? (a) 1/4 (b) o (c) r a Let u(g) = -g**3 + 4*g**2 + g - 4 + 5*g - 10*g**3 + 10*g**3. Let i be u(5). What is the closest to 0.1 in -6, 0.3, i? 0.3 Suppose -2*x + 0*x - 3*u = -4, 31 = 5*x - 3*u. Let p be 15/(-18) - 1/(-2). Which is the nearest to 1? (a) 0.7 (b) x (c) p a Suppose 5*u + 0*x + 17 = 4*x, 0 = -4*u - 5*x + 11. Let s = -20 - -21. Which is the nearest to u? (a) s (b) -0.2 (c) -4 b Let p = -0.16 + 0.66. Let v be (5 - 210/25) + (-2)/(-5). Which is the nearest to -0.1? (a) -5 (b) p (c) v b Let k(z) =
{ "pile_set_name": "DM Mathematics" }
3801067 prime? True Is 12759421 prime? True Is 62014191 a prime number? False Is 303409 composite? False Is 340801 composite? False Is 99170131 a prime number? True Is 11295121 prime? True Is 12744019 composite? False Is 1286891 prime? False Is 80902667 composite? False Is 55229777 a prime number? False Is 21366803 a prime number? True Is 10998341 a composite number? True Is 221150021 a composite number? False Is 9305591 composite? False Is 64285321 a composite number? False Is 66410609 a prime number? False Is 678989 prime? True Is 25893983 a prime number? True Is 12640091 composite? False Is 5447719 composite? False Is 115847467 a composite number? True Is 1207307333 prime? True Is 29193011 prime? True Is 7505417 a prime number? True Is 20747761 a composite number? True Is 1248421 a composite number? True Is 280999657 prime? False Is 12497761 a composite number? False Is 2688319 a composite number? True Is 19456807 a prime number? True Is 1568729 composite? False Is 13301177 prime? True Is 278597701 prime? False Is 1523621 composite? True Is 119729527 a prime number? True Is 520308703 composite? True Is 57089881 a composite number? False Is 200389199 prime? True Is 1147561 composite? False Is 152762671 composite? False Is 789892255 a composite number? True Is 1971223447 composite? False Is 170327657 composite? False Is 8498239 composite? False Is 31087261 a prime number? True Is 132929 prime? True Is 15481853 composite? True Is 81812747 prime? False Is 1933007 prime? True Is 642011143 a prime number? True Is 115302227 a composite number? False Is 6759754 composite? True Is 75643027 prime? True Is 464954047 composite? False Is 901183 composite? False Is 54337639 a prime number? True Is 251322821 a composite number? False Is 102291467 a prime number? True Is 5317427 composite? True Is 18200279 a composite number? False Is 98004061 prime? False Is 926533 prime? True Is 565283059 a prime number? False Is 288921311 prime? False Is 1023179093 composite? True Is 76157 composite? False Is 2568737 a prime number? False Is 3514349 composite? False Is 17975557 a prime number? True Is 27261809 composite? True Is 12598766 a composite number? True Is 358467 a composite number? True Is 1637813 a prime number? True Is 16042981 composite? False Is 19826423 a composite number? False Is 44351 composite? False Is 472117 a prime number? False Is 43587617 a prime number? True Is 283827181 a composite number? True Is 48155249 composite? False Is 13886547 composite? True Is 61907785 prime? False Is 3862658 composite? True Is 7678171 a prime number? True Is 3606487 prime? True Is 41570977 a composite number? True Is 3001573 a prime number? False Is 36298583 a composite number? False Is 4107055 composite? True Is 46810079 composite? False Is 1098343 prime? False Is 145694083 a prime number? True Is 7393777 a composite number? False Is 57921509 prime? True Is 28341437 prime? False Is 14030333 prime? True Is 1379353 prime? True Is 281867707 prime? False Is 130807211 composite? False Is 874957 composite? False Is 29165483 prime? True Is 22107238 a prime number? False Is 105491 a prime number? True Is 31292978 a composite number? True Is 38756183 composite? False Is 12372065 prime? False Is 20766203 prime? True Is 1625339 a composite number? False Is 1063199 a prime number? False Is 2703067 a composite number? False Is 5111089 prime? True Is 160859 prime? False Is 1394047 composite? False Is 4096259 a composite number? False Is 51264149 composite? True Is 276671 a prime number? True Is 2025169 a composite number? False Is 63057287 a composite number? True Is 97652123 composite? True Is 567669 prime? False Is 6034207 a composite number? False Is 129810311 prime? True Is 6713117 composite? True Is 47144323 prime? False Is 194399617 a prime number? True Is 6149201 composite? True Is 337627621 composite? False Is 28443767 composite? True Is 10862755 a prime number? False Is 2856661 prime? False Is 44102767 a composite number? False Is 39509753 composite? False Is 3051997 prime? False Is 3754963 a prime number? True Is 43781927 prime? False Is 12910301 composite? False Is 50145079 composite? False Is 234239 composite? False Is 1321923 a prime number? False Is 140099107 a prime number? False Is 2507019 a prime number? False Is 81386959 a composite number? True Is 295482349 prime? True Is 25415547 a composite number? True Is 25078229 a composite number? True Is 79547837 a composite number? True Is 2344903 prime? False Is 137941 prime? True Is 1358281 prime? True Is 36309737 a composite number? False Is 24669322 composite? True Is 92471239 composite? True Is 60951047 a composite number? False Is 17131385 prime? False Is 8505727 a composite number? False Is 178577291 composite? True Is 160748279 a composite number? False Is 186842377 a composite number? False Is 256338913 prime? True Is 6662473 prime? False Is 69200597 a prime number? False Is 8055771 a composite number? True Is 216664189 prime? False Is 32095307 a prime number? True Is 27757063 composite? False Is 41469497 prime? True Is 147139927 prime? False Is 1085701 a composite number? True Is 63970103 prime? False Is 9911647 a prime number? True Is 50681597 composite? False Is 91229 a prime number? True Is 58271891 composite? True Is 37982651 prime? False Is 4626707 a prime number? True Is 1771279 prime? False Is 411757399 composite? True Is 8613347 composite? False Is 3184379 a composite number? True Is 37920943 composite? False Is 6775957 prime? False Is 563869 a prime number? True Is 961244615 a prime number? False Is 18963323 a composite number? False Is 215272669 a composite number? True Is 21169829 prime? False Is 207433 a composite number? False Is 3530299 composite? False Is 132616571 prime? True Is 8073287 a prime number? True Is 710788483 composite? False Is 1375937 a prime number? True Is 49597 a prime number? True Is 2344039 prime? False Is 6299291 a composite number? False Is 2881061 a composite number? False Is 8262913 prime? True Is 183127 a composite number? True Is 113019089 a prime number? True Is 166481065 a composite number? True Is 7838107 prime? True Is 482743321 a prime number? True Is 466181783 composite? False Is 611911 prime? False Is 331183429 a prime number? False Is 1061031 a prime number? False Is 2008811 a composite number? True Is 12749917 composite? False Is 41771 a prime number? True Is 5207 prime? False Is 189254651 prime? False Is 2019461 a prime number? True Is 17212969 composite? True Is 21890599 prime? True Is 13567 a prime number? True Is 285292463 a prime number? False Is 2666633 a composite number? False Is 9484019 a composite number? False Is 7941629 prime? False Is 1349629 composite? True Is 25385617 a composite number? True Is 218037247 a prime number? True Is 3974441 prime? True Is 12991453 composite? False Is 95043431 composite? True Is 8745521 prime? False Is 1853311 a composite number? True Is 19564019 composite? False Is 15473363 composite? True Is 2265089 a composite number? True Is 8267191 a prime number? False Is 132568169 a composite number? False Is 3035185 a composite number? True Is 11013131 composite? False Is 74495569 a composite number? True Is 12485453 composite? False Is 28355563 a composite number? False Is 74757197 a composite number? False Is 46350847 a prime number? True Is 477093451 composite? False Is 78734969 a prime number? False Is 22504369 a prime number? False Is 300269843 a composite number? False Is 34566409 prime? True Is 318083657 a prime number? False Is 35107973 a composite number? True Is 1780594039 a prime number? False Is 10304387 prime? True Is 172849 composite? False Is 4262549 a prime number? True Is 61785103 prime? False Is 5024689 prime? False Is 43223119 a composite number? True Is 182412721 prime? True Is 75697 prime? False Is 13177379 a composite number? False Is 46553147 prime? True Is 572501 prime? False Is 68124871 a prime number? False Is 101134199 composite? True Is 12531565 a composite number? True Is 554961507 composite? True Is 1224591 a composite number? True Is 32753291 composite? False Is 118131187 prime? True Is 171910201 a composite number? True Is 6440821 composite? False Is 38501185 a prime number? False Is 601093
{ "pile_set_name": "DM Mathematics" }
5)/((-9)/765*1) 17 ((9/(-14))/((-756)/1764))/((2940/8)/7) 1/35 What is (-1)/(7/16*3304/(-28910))? 20 What is the value of (((-186)/(-10))/(-31))/((-3)/(-215))? -43 What is the value of (39/((-4875)/(-50)))/((-6)/(-375))? 25 What is the value of ((243/162)/(3/5))/(1170/(-72))? -2/13 Evaluate (-3)/234*2043/(-1816)*(-8)/(-6). 1/52 What is ((-6090)/98)/29*1/(-3)? 5/7 Evaluate 152/(-1026)*3*-58*126/(-28). -116 ((36/108)/((-25)/(-1125)*-15))/((-100)/6) 3/50 (-6)/(-1)*486/(-72)*((-255)/(-180))/17 -27/8 (468/90)/((-9)/45) -26 Evaluate (-3)/((570/399)/((-65)/728)). 3/16 ((-77)/616)/((-1)/4)*6160/77 40 Evaluate 6*1/10*2/12*2160/1548. 6/43 Evaluate (30294/(-459))/(36/(-30)). 55 Calculate (6/(-12))/(936/9594*((-12)/4)/24). 41 What is the value of (33/9)/(66/(-792))? -44 What is 83/(-8964)*(-486)/(-108)? -1/24 What is ((-5)/230)/((-1)/(-8))*105*(-30)/(-2520)? -5/23 (9*6/(-63)*-3)/((-69)/((-3864)/(-104))) -18/13 Calculate ((-33)/(1782/(-180)))/((-18750)/(-2700)). 12/25 Calculate (11/(-2))/((-1)/(-10))*-26*(-26)/5915. -44/7 (795/(-20))/((-3)/4)*(-29)/29 -53 Evaluate 4700/188*(-2)/20*(-222)/(-15). -37 What is (16/((-1792)/(-1260)))/((-6)/16)? -30 What is (((-9)/(-54))/((-55)/66))/(4/1)? -1/20 (-279)/124*36/27*(-80)/510 8/17 Evaluate ((-13)/(-390)*10)/1*(-11)/8*-3. 11/8 (-528)/198*(1530/(-120))/((-4)/12) -102 What is (152/(304/30))/(15/108)? 108 Evaluate ((-10)/(-90))/(240/(-3510)). -13/8 Calculate (-4312)/(-168)*30/(-22). -35 Calculate (((-640)/12)/20*(-18)/(-276))/2. -2/23 What is (54/(-9))/((-72)/40*15/306)? 68 (4/((-216)/(-2)))/(-1) -1/27 ((-32865)/(-2817))/(((-77)/(-6))/11) 10 99/154*497/2130 3/20 What is the value of (2/(-7))/(-2)*(-6398)/(-13253)? 2/29 What is (-9)/((-27)/6)*2/3*5499/(-188)? -39 What is the value of (-18)/63*(-10)/(-90)*-4*(-42)/(-8)? 2/3 What is (-144)/(-54)*3*(-36)/360? -4/5 Calculate (-63)/(((-357)/(-6))/(-17)). 18 What is 9/3*-1*-4*705/180? 47 Calculate -3*30/450*(-2)/(-4)*-75. 15/2 Calculate (-6)/129*2490/830. -6/43 ((-4)/42)/((-6208)/195552) 3 Evaluate 5/(1120/8)*72/(-27)*(-1470)/378. 10/27 What is the value of ((-18)/54*(1053/36)/(-13))/((-1)/(-52))? 39 What is 676/(-65)*(3510/52)/9? -78 What is (-1)/(((-2016)/(-105))/16)? -5/6 Calculate (10*-7*65/1092)/(26/468). -75 ((-2916)/4050)/((-180)/(-1125)) -9/2 (-64)/((-10496)/(-861))*(8*-2)/(-4) -21 Calculate (45/(-7))/(19557/(-228165)). 75 Calculate ((-7)/(-19))/((-64537)/(-445892)). 28/11 Calculate ((2030/(-364))/29)/((-305)/(-61)). -1/26 Evaluate (48/(-9))/(-4)*(3/8)/((-35)/(-1540)). 22 What is (360/1728)/((87/290)/(18/10))? 5/4 What is 12/(((-103)/(272538/168))/(2/7))? -54 ((74/18)/(-1))/((-28772)/43158) 37/6 Evaluate ((-1505)/(-127925))/(1*3/(-6)). -2/85 What is ((-4)/28)/((-1049)/(-433237))? -59 What is the value of (((-70135)/325)/83)/(9/135)? -39 10*(-4140)/(-5175)*(-18)/(-8) 18 What is 12/((-96)/(768/(-104)))? 12/13 What is (3*(-3)/9)/((560/(-16))/(-35))? -1 What is the value of 96/(-64)*((-12)/84)/((-2)/20)? -15/7 What is (4700/2632)/((-20)/16)? -10/7 What is the value of (-6678)/(-132447)*-14*(-1)/(-8)? -3/34 Calculate (20/(-21))/(208/60424*-83). 10/3 Evaluate (-261)/1653*4/(-36). 1/57 What is ((-288)/126*(-4)/12)/((-29)/(-174))? 32/7 What is ((-303)/(-27))/(((-809)/8899)/(((-6)/11)/(-2)))? -101/3 Evaluate (3/36*-12)/(20/(-1320)). 66 (28/(-30))/((-13986)/43290) 26/9 What is the value of ((-5)/(-3))/((-2)/(-3))*(-23128)/2065? -28 48/10*-5*((-21)/(-15))/(20/(-25)) 42 Calculate (3*(-6)/(-180))/((-35)/((-1050)/132)). 1/44 What is the value of ((-114)/76)/(14/16*4)*(-7)/22? 3/22 What is (3/((-1)/8*18))/((-29)/870)? 40 Evaluate (-451984)/(-19557)*(-18)/(-8). 52 Calculate (10/3)/((-20)/(-90))*-71*1086/12851. -90 Evaluate (2784/(-87))/(((-126)/6)/(-21)). -32 Calculate 45/78*25272/810. 18 What is the value of (-5)/14*-21*(20/11)/5*11? 30 (2/(-30)*207/(-6))/(((-32193)/146)/(-441)) 23/5 Evaluate ((-23)/161*(-560)/(-180))/((-16)/2). 1/18 Evaluate ((-264)/6930*15)/(-12)*(36/(-10))/3. -2/35 What is the value of ((-30)/55)/((-18)/2277)? 69 Evaluate (-4440)/(-1998)*9/(-38). -10/19 What is 2/(-30)*1*84840/11312? -1/2 Calculate (4/6)/((-11*60/5544)/5). -28 Calculate 1/63*3/10*(-1239)/(-354). 1/60 ((-2)/20)/((-8)/48)*70/1246 3/89 What is (-112*(-546)/101920)/(9/(-5))? -1/3 Calculate ((-60)/144)/((-1175)/(-40)). -2/141 (((-2)/(-18))/(120/(-2880)))/((-3)/9) 8 (-522)/(1134/(-63))*2 58 Calculate (63/135)/(462/440)*105/(-14). -10/3 Calculate -1*32/(-18)*9/(-30)*(-115)/46. 4/3 -5*147/1127*23 -15 What is the value of 2/3*322/2070*-15? -14/9 Evaluate (-23)/(-759)*11664/(-72). -54/11 ((1/(-3))/(-1))/(169/((-96837)/2101)) -1/11 What is the value of 34936/(-3176)*(-2)/(-22)? -1 What is -2*((-5643)/90)/11*7/(42/(-30))? -57 Calculate (172/(-6))/((-16)/504*-9*140/(-12)). 43/5 ((530/(-50))/53)/((333/(-10))/3)*-3 -2/37 (-64)/10080*6*(-9)/(-6) -2/35 What is 4*(6/(-48*1))/(3/(798/(-7)))? 19 Calculate ((-303)/(-404))/((3/4)/((-40)/68)). -10/17 What is (3*(-4)/(-32))/((-375)/(-5000))? 5 Evaluate (-12)/102*(-436)/(-436). -2/17 What is the value of (62/31)/(-2)*266/418? -7/11 What is (-2)/11*(-5082)/198*(-14)/28? -7/3 Evaluate -177*(-3)/(-15)*1005/603. -59 Evaluate (((-7605)/26)/(-15))/((-222)/296). -26 What is 33/(-198)*(-6)/(-84)*7*-636? 53 ((-4)/20)/(1/(11/((-55)/10))*2) 1/5 Calculate 1/((-2)/(-4)*-12*21/630). -5 What is the value of (18/(-5))/((6570/116800)/((-3)/2))? 96 What is ((4*17)/(-2))/((-598)/92*12/(-13))? -17/3 Evaluate (7/(-49))/(144/4536)*-10. 45 Evaluate ((-100)/1600)/(10/(-16)). 1/10 2072/185*45/(-9) -56 Calculate 525/15*((-42)/8)/(645/172). -49 Evaluate ((-231)/(-22))/(((-126)/(-112))/(12/8)). 14 Calculate (12/(-10))/(71*168/(-447300)). 45 What is the value of (-56)/(-224)*-9*(-156)/(-9)? -39 What is the value of (-22984)/663*(-18)/16? 39 What is -1*112/((-2)/(-1))*(-4028)/(-35245)? -32/5 What is the value of (4*273/26)/(19/19)? 42 109/((-38259)/135)*21/30 -7/26 What is the value of 18279/(-4739)*(-14)/(-30)? -9/5 What is the value of ((-879867)/(-3314))/(81/(-18))? -59 Evaluate ((-6)/(-110))/(1884/(-28260)). -9/11 What is the value of (120285/162)/(-165)*8/1206? -2/67 What is ((-15)/48*1)/(1054/(-16864))? 5 Evaluate (206/(-1854))/((-1)/(-9)). -1 Calculate (120916/(-232286))/(4/(-584)). 76 Evaluate (-95)/(-9500)*20*6/(-3)*-1. 2/5 (1*3)/(56322/(-13410)) -5/7 What is 30/(-525)*-42*198/(-27)*(-5)/(-2)? -44 What is (-4*(-27)/(-900))/(49/(70560/64))? -27/10 -8*(-38)/((-5168)/(-85))*2/(-1510) -1/151 What is the value of (255/((-33405)/1834))/((-1)/(-4))? -56 Evaluate (1026/1710)/(9/(-3)*(-5)/(-975)). -39 Evaluate (224/147)/(719/(-30198)). -64 What is the value of ((252/(-15))/7)/(6/(-27)*564/(-1880))? -36 Calculate (6976/66708)/((-8)/(-36)). 8/17 Evaluate ((-36)/1152*16*-38)/((-1)/(-3)). 57 Evaluate 7030/(-2109)*(-3)/90. 1/9 What is (8*(-117)/312)/(-1)*15? 45 What is the value of ((-335)/(-2345))/((-269)/(-7))*-2? -2/269 What is the value of ((-468)/(-172692)*-123)/(17*(-2)/72)? 12/17 What is the value of ((-1386)/(-364))/(-33)*10*3*(-5)/(-45)? -5/13 What is 40/48*(-228)/(-475)? 2/5 ((-297)/(-351))/(39/3549) 77 Calculate (3/18)/((-359)/(-12924)). 6 Calculate ((-2040)/(-952))/((-24)/(-112)). 10 Evaluate 1/(((-27)/9)/(((-29)/5)/(17/(-255)))). -29 Evaluate ((-53)/(4823/(-26)))/(120/14). 1/30 Calculate 3/(((-966)/(-14))/(-23)*-47). 1/47 What is (((-10540)/3995)/62)/(-4*(-4)/8)? -1/47 Calculate (-30)/775*(-30)/((-54)/(-9)). 6/31 Evaluate (11977/413)/(1/((-2)/2)). -29 Evaluate (-194)/(-6)*(6*(-11)/165)/(10/(-75)). 97 Evaluate (((-2790)/495)/((-3)/((-6)/4)))/((-550)/6050). 31 Evaluate (-83)/(2905/(-225))*35/(-10). -45/2 Calculate (1*(-1)/3)/((-48)/(-86400)*-30). 20 ((-198)/220)/(96/(-160))*(-8)/162 -2/27 Calculate (7/3*279/(-930))/(406/(-522)). 9/10 Evaluate (89/979)/((-15)/105*7). -1/11 What is (-5)/(-15)*12525/(-30895)? -5/37 What is ((2052/(-9))/(-12))/(22/484*11)? 38 (4/(-42))/((-58)/261)*(-99554)/(-1641) 26 44/(-11088)*7*15 -5/12 (16/(-880)*1/11)/((-31)/(-155)) -1/121 Calculate -3*196/24*((-124)/(-93))/(28/(-18)). 21 What is 126616/(-833)*(-2)/(-4)*3/(-3)? 76 -78*85/(-1248650)*10/(-3) -2/113 What is (2436/84)/(-29)*62? -62 What is the value of (28/18)/((-80)/60)*224/14504? -2/111 What is the value of ((-56000)/(-12600))/(7/(-189))? -120 -5*(1/(-8))/(36/(-16))*(-5932)/(-7415) -2/9 Evaluate ((-2204)/(-8
{ "pile_set_name": "DM Mathematics" }
(3 - (5 - 3)) + 3 4 0 - 1 - (10 + -2 - 12) 3 What is 3 + 10 + -10 + 4? 7 What is the value of (24 - 31) + -2 + 4 - -3? -2 Evaluate -8 + (5 - 3 - 1). -7 What is the value of 5 - (0 + (-6 - -6))? 5 Calculate 10 + -3 + 35 + -38. 4 What is 3 - 0 - (4 + (8 - 14))? 5 What is the value of -3 - ((4 - 0) + -2)? -5 Evaluate -2 - -5 - (6 - 3 - 3). 3 What is the value of 1 - -3 - (-3 - -10)? -3 Evaluate -2 - (2 + -5 + 3). -2 Evaluate -7 - 2 - -1 - (116 - 122). -2 Calculate -4 + 8 + -5 + 3. 2 15 + -4 + -6 + -3 + 7 9 What is the value of 6 + (-4 - -3) - (0 + 0)? 5 Evaluate -3 + -1 + (-11 - -14) - 2. -3 -1 + 1 + (-9 - -5) + 7 3 What is the value of (1 - 22) + 12 + 17? 8 What is -5 + 2 + -8 + 8 - 1? -4 Evaluate 4 + -2 + (-1 - -1) - 1. 1 What is -4 + (0 + 0 - (6 + -10))? 0 Evaluate (11 - 8) + -9 + 0. -6 What is the value of -2 + 17 - (11 - 4)? 8 What is the value of (3 - 8 - -11) + -3? 3 What is -2 - 2 - (-6 - 0 - -1)? 1 What is the value of -2 - 2 - (-1 - (6 + -3))? 0 Evaluate 0 + (-3 + 0 - 1). -4 What is -7 + 11 + -10 + 1? -5 Calculate (-127 - -123) + (1 - 3). -6 10 + -18 + 7 + -2 -3 -2 - ((6 - (4 - 3)) + -4) -3 What is the value of 0 + (3 - (1 + 6) - 0)? -4 What is the value of -16 + (3 - -2) + 6? -5 What is -8 + (1 + -7 - -9) + 14? 9 Calculate -9 + (-4 + 0 - (4 + -11)). -6 What is (3 - (-3 - -5)) + -3? -2 What is 2 + (10 - 7) - 3? 2 What is the value of -14 - (10 + -19 + (1 - 0))? -6 Evaluate -2 + (9 - 2) - 7 - 1. -3 What is the value of (2 - 2) + (-1 - (5 - 0))? -6 Evaluate 4 + (12 + -7 - (7 + 2)). 0 2 - (1 + -2) - -1 4 What is the value of (-10 - (-1 - 3)) + 9? 3 Evaluate -1 - (6 - 4) - -6. 3 What is the value of -2 + (-1 - -1) - (2 - 2)? -2 Evaluate (7 - 13) + -3 - (-1 + -5). -3 What is (-3 + -1 - -3) + 0? -1 Calculate (3 + -4 - 1) + 9 + -3. 4 Calculate -3 + (0 - 10 - (-7 + 3)). -9 Evaluate 0 - -6 - (-3 + 8 - 4). 5 Calculate -36 + 30 - (-1 - 4) - -2. 1 10 + -9 - (0 + -1 + -2) 4 -3 + 0 - (34 + -39) 2 Evaluate -6 + 5 + 5 + -7 - 5. -8 Calculate 1 + 3 + (0 - 4). 0 Calculate -2 + (2 + (-3 - 2) - -6). 1 What is the value of -4 + (3 + -2 - (-9 - -3))? 3 Evaluate 8 + 2 + -5 - (-2 + 3). 4 Evaluate 1 - (5 + -3 + -1). 0 Evaluate 13 + (11 + -12 - 7). 5 -3 + 6 - (-4 - (-13 - -3)) -3 What is 8 + (7 - 8) - (4 - -4)? -1 What is the value of 5 + -8 + (1 - 1 - -2)? -1 What is the value of 6 + -6 + 1 - -3? 4 Evaluate 29 + -24 + 5 - (2 + -1). 9 What is the value of -10 + 4 + (4 - (5 - 4))? -3 What is the value of (1 - -2) + -1 + 0 + 2? 4 Evaluate 13 - ((11 - 0) + -8). 10 -2 - (-7 + 1 + 1 - -3) 0 4 + -2 + 4 - 2 4 What is 13 + -12 - (4 - -2) - -2? -3 What is (3 - 2) + (-1 - -3) + -3? 0 -1 - (-2 + (4 - 2)) -1 Calculate (-8 + 2 - -3) + -1. -4 -1 + (3 - 5 - -4) 1 (14 - 8) + (-5 - (5 + -4)) 0 4 + (-2 - (-12 - (1 + -7))) 8 What is 10 + (-3 - -1) - (7 - 4)? 5 Evaluate (-1 - -4) + 1 + -9. -5 -11 - -12 - (0 + 0) 1 What is -3 - (-32 - -28 - (0 - 8))? -7 What is 0 + -13 + 8 + 7? 2 Calculate 4 - 4 - (6 - 2). -4 What is -3 - ((5 - (-5 + 8)) + -4)? -1 What is 3 + (3 - (-1 + -5) - 6)? 6 Evaluate -8 + 6 + (10 - -4 - 4). 8 Evaluate 6 + -8 + 0 + 2. 0 6 + (0 - 5) - 6 -5 What is ((3 - 3) + -3 - -3) + -5? -5 What is the value of -7 - 8 - (-13 - -7)? -9 What is (-2 - (0 - 4)) + (108 - 109)? 1 What is the value of (-2 - (9 - 5)) + 7? 1 Calculate -16 - (-11 + (4 - 3)). -6 (-4 - -5 - -3 - 4) + 3 3 Evaluate -5 + 1 + (-1 + 5 - 0). 0 What is the value of -1 + 0 - (2 + 2)? -5 Calculate 14 + -15 - (-5 - -1). 3 What is the value of (5 - -1) + (-1 - -3) + -6? 2 Calculate -6 + 7 + (-4 - 0). -3 2 + -5 + 5 - 6 -4 Evaluate 3 - (4 - 4 - -4). -1 What is (1 - 0) + (-1 - (1 - -3))? -4 Calculate 0 + -4 + -8 + 8. -4 Evaluate (4 - -8) + -5 + (1 - 5). 3 What is the value of -1 - (1 + -7 - (5 - 9))? 1 -4 + (-9 - -6) + 2 -5 -6 - (7 - (-9 + 19)) -3 Evaluate 64 + -57 + (0 - -2). 9 What is 5 + -5 + -5 - 0? -5 What is the value of -7 + (-4 + 9 - 1) + 0? -3 (-1 - 11 - (-2 - 2)) + 9 1 What is the value of 1 + -2 + (-5 - -10)? 4 Calculate (2 - (0 - -7)) + 1 + -1. -5 (-11 - -14) + -12 + -3 - -7 -5 Evaluate (3 - (4 - 1 - -2)) + 0. -2 Calculate 2 - (1 + 8 + -7 + 4). -4 What is -2 - -2 - -1 - 3 - -6? 4 Evaluate (6 + -6 - -2) + 9 - 6. 5 What is 0 - -5 - (-2 - 1 - -5)? 3 Calculate (-10 - (5 + -7)) + (-7 - -9). -6 Calculate (-1 - (2 + -3)) + 10 + -7. 3 -3 + -1 + 2 + 2 + 2 2 What is the value of (1 - 6) + 4 + 6? 5 What is 0 + (2 - 6) + (-6 - -9)? -1 What is the value of 4 + (2 - 6 - 2)? -2 Evaluate 6 + -4 + (2 - 8). -4 What is the value of 4 + -2 - (-1 - 2 - 0)? 5 2 + (3 - 6) - -1 - -5 5 What is the value of -9 + 0 + -6 + 11 + 1? -3 What is the value of 1 + -4 + 2 + 4? 3 Evaluate -1 - (1 + 1) - (35 - 41). 3 -3 - (0 + 2 - (-16 - -15)) -6 What is the value of 0 + (-9 + 8 - (4 + -1))? -4 What is 1 - (-4 - (5 - 11))? -1 What is the value of 2 + 6 - (5 + -4)? 7 What is the value of -15 + 4 - (4 - 22)? 7 Calculate 11 - 2 - 6 - 11. -8 What is the value of -7 + (-5 - (-9 - 1))? -2 What is -1 + (4 + -8 - -3)? -2 3 + 1 + -2 + 0 + -2 0 Calculate (-3 - -8 - 0) + -2. 3 What is -44 + 40 + (1 - -2)? -1 What is the value of -5 + (4 - -4) + -4 + 5? 4 Evaluate -2 - (7 + (-6 - 3)). 0 Calculate 6 - 0 - (-23 + 25). 4 Calculate -3 + (-2 - 0) - (3 - 10). 2 What is the value of 10 - 3 - 2 - 8? -3 Evaluate (-3 - (4 - -1)) + -12 + 17. -3 2 + (0 - 4) - (-3 + 2) -1 What is the value of -1 + (0 - 1) - (17 + -16)? -3 Evaluate -4 - -1 - (-7 + -13 + 22). -5 Evaluate (-5 - -4 - 0) + -4. -5 What is -2 + -1 - (2 + -7 + 4)? -2 What is -2 - (-2 + 4 + -5)? 1 What is the value of -205 + 204 - (-2 - 1 - 0)? 2 Evaluate (-10 - 1) + 2 + 13. 4 Evaluate -5 + -2 + -15 + 27. 5 Evaluate (-3 - (1 + -1)) + 3 + -4. -4 Calculate 6 + -9 + 1 + -6. -8 What is the value of 52 + -47 + (-3 - (0 - -5))? -3 What is the value of -8 + 6 - (2 - 3) - 1? -2 What is the value of 1 + (-2 - -2) + 2 + -1? 2 Calculate (-2 - 3) + (22 - 16). 1 Calculate 2 + (-2 - (-5 + 3 - 0)). 2 7 + (-2 - 8) + 4 1 -1 - (10 + (5 - 18)) 2 What is the value of -12 - (-6 - 9 - -14)? -11 What is the value of -80 + 80 - (-2 + 2)? 0 5 + 6 + (-9 - -2) 4 What is 3 + (-16 + 16 - (1 - -8))? -6 (-9 - (-2 + -1)) + -1 + 11 4 (138 - 141) + 8 + 4 + -2 7 Evaluate -2 - ((2 - 2) + -4). 2 What is (1 - 2) + 4 + 0 - -2? 5 Calculate 9 + (8 + -5 - 7). 5 1 - (2 - 0) - 3 -4 Calculate 10 - (-7 + 10) - 9. -2 Calculate 4 + -8 - (-3 + 1) - 1. -3 Calculate 0 - (1 + 3 + -1 - 1). -2 2 - 8 - (0 - (2 + 0)) -4 -9 + 10 - (2 + (-4 - -4)) -1 What is the value of (7 - (5 - 0)) + 2? 4 What is 9 + 0 - (31 - 27)? 5 Calculate 1 - (9 - 4) - -2. -2 Evaluate -9 + 1 + 9 - 2. -1 Evaluate (12 - 8) + (-7 - -1) - -3. 1 What is (-10 - -2) + 13 + -6? -1 Calculate 3 + (-4 - -1) + 1 - -2. 3 Calculate (-43 + 14 - -14) + 5. -10 Evaluate 1 - (10 - ((16 - 7) + -1)). -1 Calculate (-2 - (4 + -10)) + 1. 5 What is 7 + -1 - (-5 + 15)? -4 Calculate -4 + (0 - -7) + -22 + 24. 5 What is 2 - (4 - 0 - 0) - -2? 0 Calculate -2 + -1 + -2 - (28 - 35). 2 What is -8 - (-7 + (-2 - (-3 - -10)))? 8 Calculate -2 + -1 + 0 + 1 - -2. 0 (-3 - 1) + -26 + 35 5 What is (9 - -1) + -5 + 0? 5 What is -1 + -5 + 1 + 5? 0 Evaluate (3 - 13) + 4 + -1 + 3. -4 Evaluate -8 + 1 - (-14 + 3). 4 Calculate 56 + -56 - (-6 + -1). 7 What is the value of -5 - -2 - (2 - -1) - -4? -2 7 + -8 - 3 - -1 -3 Evaluate 3 - (1 - 2) - 4. 0 Calculate -5 - (-3 - (2 + 4)). 4 What is (-3 - 1) + -2 + 13 + -10? -3 What is the value of (-38 + 37 - (0 + 1)) + -3? -5 4 - ((8 - 3 - 1) + -1) 1 Calculate -2 - ((0 + 2 - 6) + 0). 2 What is the value of (-2 - (2 - 7)) + -1 - 3? -1 What is the value of (0 + -10 + 4 - -4) + -4? -6 (11 - 3) + (0 - 3) 5 Calculate -2 + 6 + (-9 - (-2 - 3)). 0 What is the value of -5 - (-14 - -4) - 6? -1 (-2 + -3 - -8) + -8 -5 What is -2 + (2 - (0 + 1 + -7))? 6 0 - (-4 + -2 + -3 + 8) 1 What is the value of -3 - (-8 + 3 + 1)? 1 2 + -16 + -2 + 6 - -5 -5 Evaluate 3 + -2 + 2 + 2. 5 Calculate 6 - (2 + 1 + 4 + -2). 1 Calculate 4 + (-9 - -3) + -8 + -1. -11 Evaluate (-4 - -1) + -7 - (-2 - 3). -5 What is the value of -12 - -5 - 2 - -7? -2 What is (0 - 0) + 4 + (-27 - -20)? -3 Calculate -8 + -1 + -13 + 15. -7 -5 + (1 - -3) + 3 + 0 2 What is 1 + 10 - (3 - -2)? 6 Evaluate 81 - 89 - (-1 + -6). -1 What is (8 - (-1 - -9)) + (6 - 4)? 2 What is the value of (-7 - -3) + (3 - (-1 + -5))? 5 Calculate -6 + 7 + (1 + -1 - 0). 1 Calculate -4 +
{ "pile_set_name": "DM Mathematics" }
4*n = o, w + 0 = -4*n - 10 for w. -2 Let x(t) be the first derivative of 1/3*t**3 + 0*t - 2*t**2 - 1. Let s be x(5). Solve -3*d + 9 = p + 2, p + s = d for p. -2 Suppose -4*f + 5*v + 18 = 0, 3*f - 31 = -8*v + 3*v. Let a = f + -5. Suppose -46 - a = -3*u. Solve -5 = -3*y - 5*m, -3*y = -m + u + 3 for y. -5 Let i be (-11)/(-22)*(-10)/(-1). Solve -16 = -2*s + i*v, -5*s + 7 + 6 = v for s. 3 Let c = 14 - 11. Suppose -4*y + 35 = y - 2*o, 15 = -3*o. Suppose 0*n = y*n - 10. Solve -n*v - 3*d - d = -6, -4*v + c*d = -23 for v. 5 Suppose 23 = 3*l + 3*f + 8, 3*l - 5*f - 39 = 0. Let w be 28/l - 1/(-2). Solve -2*n + 4*b = 0, -5*n = w*b + 7 + 7 for n. -2 Let i(k) = -2*k - 5*k + k + 0*k - 1. Let a be i(-1). Let m = -3 + a. Solve 3*f + j = -3, 0 = m*f - j - 3*j + 2 for f. -1 Let d be (-4)/(-18) - 122/(-18). Suppose -20 = -2*b + 2. Let l = b - d. Solve 5*j - 7*g = -3*g - 9, -l*j = -5*g for j. -5 Let w be 1 + 1 - 2 - -2. Suppose -w*y + 100 = 3*y. Solve 5 = -j - 0*t - 4*t, 0 = 4*j - 3*t + y for j. -5 Let x = 14 - 8. Solve -z - 3*k = -8, -4*k + x - 2 = -2*z for z. 2 Let o(r) = -r**3 + 5*r**2 + 11*r + 25. Let f be o(7). Solve 0 = i + i - l, i - f*l = -14 for i. 2 Let o(y) = -y**2 - 8*y - 2. Let u be o(-7). Suppose -u*h - 17 = -47. Let v = h - 4. Solve x + t = v, 2*t - 3*t = -3*x - 14 for x. -3 Let k = 13 - 7. Suppose -4 = -5*v + k. Let f(c) = -2*c**3 + c**2 + 3*c + 1. Let x be f(-2). Solve -v*s - 5*d = 3, -4*s = -d + 2 + x for s. -4 Let m be ((-3)/(-4))/(3/12). Let p be (-3)/(-6)*(m - -7). Solve -b + 2 = 2*k - p, 3*b + 2*k - 17 = 0 for b. 5 Let x(d) = -d**3 - 4*d**2 - 2*d - 4. Let o be x(-4). Solve 4*s - o = v, -s = 3*s - 4*v - 16 for s. 0 Suppose -9*p + 12*p - 18 = 0. Solve 0 = p*w - 3*w + 3*i - 21, 3*w = 5*i + 5 for w. 5 Let l(i) = i**3 + 14*i**2 - 16*i - 10. Let g be l(-15). Let k = g - 5. Solve -5*f = 3*s + 16 - 5, -3*s + f + 13 = k for s. 3 Let w be (3/(-5))/((-1)/(-5)). Let g be w + (7 - (0 - -1)). Solve 0*v + s = g*v + 10, -5*s + 17 = -4*v for v. -3 Let b be (-6)/(-9)*(-18)/(-4). Let p be (0 + 0)/(2 - b). Solve p = 5*s + 5, -7 = 4*h + 3*s + 4 for h. -2 Let c(v) = v**2 - 8*v - 6. Let y be c(9). Solve y*d = -b - 14, 4*b = -3*d + 5*b - 4 for d. -3 Suppose 3*d - 7*d - 4 = 0. Let i be ((d - -1)/3)/(-1). Suppose -2*r + 0*r = i. Solve v = -t - 7, 0 = v - r + 4 for t. -3 Let x be (-9)/(-6)*(-24)/(-9). Suppose -x = -2*n + 22. Suppose -3*h - 3*k - 8 = -4*h, -3*k = -3*h + 24. Solve 3*s - n = h*l - 3*l, 3*l + 7 = 2*s for s. -4 Let j(m) = -m**3 + 3*m**2 + 5*m - 4. Let f be j(4). Suppose 5*b + b - 24 = f. Solve 0 = -4*n + w + 4*w + 13, 0 = n - b*w - 6 for n. 2 Suppose 3*v - 45 = 6*v. Let r be (-6)/15 - 426/v. Suppose -r = -3*y + 8. Solve -w + 3*w + y = g, g = -3*w - 8 for w. -4 Let h = 42 - 35. Solve -2*k - 12 = 3*k - 2*y, -5*k - h = 3*y for k. -2 Suppose 2*r - 48 = -2*r. Suppose 3*t - r = -0. Solve 2*d + 2 = t*n, -5*d + 10*n = 5*n for d. 1 Let g(w) = w + 3. Let y be g(-3). Let t = y - -31. Solve -t = -2*k + 5*o, -k + 3*o - 6 = -24 for k. 3 Let k(d) = -4*d + 1. Let w be k(-7). Suppose w = 2*n - 13. Suppose 5*q = 3*p + 22, -5*q + n = -0*q - 4*p. Solve -5*s + 5*m = 0, 3*m - 4 = q*m for s. -2 Suppose -p + 10 = p. Solve p = 5*s, -2*q + 3*s - 18 = 3*q for q. -3 Let k(u) = -u**3 - 4*u**2 - 2*u - 2. Let h be k(-4). Let y = h + -1. Suppose -5*x - 3 = -2*d + 3*d, y*d + 15 = 2*x. Solve 5*r + 5 = 0, 5*w + x*r = 5*r for w. -1 Let l(h) = -h**2 - 5*h - 5. Let z be l(-4). Suppose -d - 25 = -6*d. Let j = d + z. Solve -5*m - g = -25, 2*m - 10 = -0*g + j*g for m. 5 Let h = 0 - -1. Let b = 5 + h. Suppose -4 = -5*w + b. Solve -5*o + f = -11, -2*f - w*f - 14 = -5*o for o. 2 Suppose d = -d. Suppose d*u + 5*u - 15 = 0. Suppose -3*t = -12 + 6. Solve 3*s = -3*l + t*l + 18, u*s = -2*l + 21 for l. 3 Let q = -27 - -29. Solve 0 = q*a - m + 9, 9*a - 4*a + 20 = 5*m for a. -5 Let y = 88 + -83. Solve 0 = -5*d, y*d - 6*d - 2 = l for l. -2 Let c(v) = -v**2 - 12*v + 13. Let t be c(-12). Solve t = o - 3*a, -4*o + a = 2*a for o. 1 Let w be 2 - (2 + 1 - 1). Let q(m) = m**2 + 5*m + 3. Suppose 3*i - 15 = 6*i. Let g be q(i). Solve 3*x + u - 13 = w, 0 = -g*x - 4*u + 1 + 6 for x. 5 Let j be -6 + 6 - (-7 - -1). Solve -5*n + 3*x = j - 2, -5 = -2*n - x for n. 1 Suppose 2*n + 5 = -7. Let r = -4 - n. Solve 0 = r*g + 3*j - 11, 5*g + 0*j = 5*j - 35 for g. -2 Let u(t) = 3*t**2 - 2*t + 1. Let d be u(-2). Let g = d - 11. Suppose 0 = -w + 5*s + g, 3*w - 1 = w - s. Solve -h + w = -j, 7*j - 2*j - 3 = 3*h for h. 4 Suppose 4*f + 4*r - 44 = 0, 0 = f - 4*f + 4*r + 40. Let t = 15 - f. Solve 0*c - 2*s - 5 = -3*c, t*c + 15 = -3*s for c. -1 Let h = -51 - -57. Let y = -6 + 12. Solve -c - 2*p = -h*c - y, -3*p + 9 = 0 for c. 0 Let j(h) = 4*h**3 + 8*h - 5*h - h - 1 + 0 - 2*h**2. Let g be j(1). Solve -3*y = -i + 7, 10 - g = y + 2*i for y. -1 Let w be (1 - 5) + (14 - 8). Let a = -4 - -6. Let o be (17/(-2))/(a/(-4)). Solve -3*j + w*n = o - 6, 2 = -n for j. -5 Suppose -2*i - 2*i + 17 = -5*j, 7 = -j + 2*i. Let r = 1 + j. Solve 0 = d - r*d + 5*g + 11, -2*d + 5*g + 23 = 0 for d. 4 Let p be (-30)/12*(-14)/5. Let d = 11 - p. Solve 0 = -4*m + 4*k + 21 + 11, -3*m + d*k = -29 for m. 3 Suppose 0 = -5*q + 4*q. Solve 4*m - l - 3*l + 24 = q, 2*m = 4*l - 18 for m. -3 Let x = 291 + -289. Let u = -1 - -1. Solve -2*f - 6 = u, 4 - x = -w - f for w. 1 Let r = 17 - 17. Suppose -2*z + r + 4 = 0. Solve 3*w - 15 = 3*k, 0*k = 5*w - z*k - 16 for w. 2 Suppose -20 = -5*h, 2*c - 2*h = 4*c - 14. Solve -3*w + 8 = -0*w + q, -c*w + q + 16 = 0 for w. 4 Suppose 4 = -5*p + 2*b - 11, 3 = -p + 5*b. Let h = -3 - p. Let i be h*(-2)/(-4 + 2). Solve -4*a + 9 = c, i = a + 2*c - 0*c - 11 for a. 1 Let m(o) = o**2 + 10*o - 22. Let w be m(2). Let q = 2 - 1. Solve -4*p - 2*s = 2, 3*s = w*p - 12 + q for p. 1 Suppose 0 = -2*g - g - 4*d + 172, -3*g - 3*d = -177. Let b = g + -44. Solve -x - b = -6*j + 2*j, 2*j - 10 = -3*x for j. 5 Suppose 0 = -7*p - p + 16. Solve a - 4*a = p*q - 19, 2*q + 16 = 4*a for q. 2 Suppose -2*y = -4*y, -2*f = -3*y. Solve f = -2*w + 2, -2*h + 3*w = -1 - 2 for h. 3 Let q(d) = -d**3 + 9*d**2 + 12*d + 5. Let k be q(10). Solve -5*o = 0, 6*w - 2*o + k = w for w. -5 Suppose -5*w - 40 = -0*w. Let z be (-15)/((-6)/w*-1). Solve 5*a + z = -5*v, 2*a - 4*v - 2 = -10 for a. -4 Let c be 20/4*2/(-5). Let n be (4/(c/(-1)))/(-1). Let o be (n - -4)*2/4. Solve -3*u = 5*l - 32, -5*l + 7 = -3*u - o for u. 4 Let y(u) = -u + 9. Let a be y(4). Let s(p) = p + 2. Let r(n) = -n + 3. Let f be r(-3). Let z be s(f). Solve -6 - z = -k + 2*o, 33 = 2*k - a*o for k. 4 Suppose 3*n = n + 74. Solve -g + n = -4*y + 4*g, 5*g - 25 = 0 for y. -3 Suppose -4*l - 5*z = 63, -z - 39 = -0*l + 3*l. Let p be l/9*(-3)/2. Let m = p + 3. Solve -m*q - 2*j + 22 = j, j = -5*q + 24 for q. 5 Suppose 0*w - 5*w = 20, x = 2*w + 12. Suppose 3*v = -u + 6, -4*u + 8*u = -5*v + 17. Solve z - 4*p = -2*z + u, -x*z + p + 4 = 0 for z. 1 Suppose 0 = 8*j - 11*j + 9. Solve 2*k - 10 = 0, 0 = -5*z + j*z - 5*k + 35 for z. 5 Let c(m) be the first derivative of -m**4/4 - 3*m**3 - 2*m**2 - 7*m + 4. Let u be c(-9). Solve -4*h - 3*o + u = 0, -o + 23 = -2*h + 6*h for h. 5 Let s(q) = 40*q**2 - q - 1. Let m be s(-1). Solve -4*p = -3*v + p + 10, -5*v - 3*p = m for v. -5 Suppose -2*t + 3 = -v, 5*t + 0*t - 5 = 5*v. Solve -4*q - 20 = 0, 8 + 15 = -t*u - 5*q for u. 1 Let s = 26 - 28. Let x(g) = -g**3 - g**2 + 2*g + 2. Let u be x(-2). Let l = u - s. Solve 0 = -4*f - l*i + 24, -f + 5*i - 2 = f for f. 4 Let u = 9 + -4. Solve 8 = u*r - 2*g + 1, -3*g = 3 for r. 1 Let q(z) = -12*z - 7. Let d be q(-6). Let n be d/20 - 1/4. Solve 0 = 5*u - n*v + 25, u + 2*v = 2*u + 12 for u. -2 Let k be (-14)/(-77) + 4/(-22). Suppose k = 5*h - 61 - 19. Solve 5*x = 4*v + 33 + 3, 0 = -x - 5*v - h for x. 4 Suppose d = -3*d + 20. Let k = d + -3. Solve 5*p - 15 = 2*p, 1 = 3*j + k*p for j. -3 Let k(v) = -2*v - 6. Suppose -s + 5*w = -2*s + 6, 4*s - w + 18 = 0. Let a be k(s). Solve 0*f = -3*f + m - a, -5*f = 5*m + 10 for f. -1 Suppose 25 = 6*h - h - 5*x, 3 = x. Solve -2*a = 5*o + 10, -h*o + a = -3*o + 25 for o. -4 Suppose -11*u - 36 = -14*u. Solve 3*i - u = 3*q, -4 + 2 = 5*q + i for q. -1 Suppose 0 = 3*m - 3*r - 24, -7*m + 2*m + 32 = -3*r. Solve 2 = -6*j + 4*j + 5*a, -4*j = -m*a + 4 for j. -1 Suppose 8*q = 2*q - 18. Suppose 4*p + 14 = 34. Let u = p + q. Solve -4*s - 3*a = -u - 1, -3*s =
{ "pile_set_name": "DM Mathematics" }
f be u(7). Let z = f - 11. What is the nearest to h in z, -4/7, -1/3? -4/7 Let f = 86 + -91. Which is the closest to -1/4? (a) -1.3 (b) 3/5 (c) f b Let i = -12.3 - -1.3. Let z = -12 - i. Which is the nearest to 0.1? (a) -2 (b) 0 (c) z b Let t = -1.09 + 1. Let d = 2.09 + t. Which is the closest to 0.1? (a) d (b) -0.4 (c) 1 b Let z be 236/(-272) + 12/16. Which is the closest to -1/4? (a) -2 (b) 0.1 (c) z c Let y = -181/4 - -45. Which is the nearest to 1? (a) y (b) -0.3 (c) -3 a Let c = -1.5 + 2. Let m = 2 + -1.4. Let b = m - c. What is the closest to b in -5, 1/6, 2? 1/6 Let j be (4/(-16)*-4)/2. Let o(y) = -5*y**2 - y + 1. Let i be o(1). Which is the closest to j? (a) -0.3 (b) -0.2 (c) i b Let j(y) = -y + 11. Let l be j(11). What is the nearest to -2/3 in -2/7, l, 1/8? -2/7 Let f(i) = i**2 - 3*i - 2. Let k be f(3). Let m = 2239/33 + -112/11. Let r = m - 57. Which is the closest to r? (a) -4 (b) 4/5 (c) k b Let h = 0.03 + 0.37. Let f = 14 + -15. What is the closest to -2 in h, f, 0.2? f Let h = 0.1 - 0.1. Let s = 2.6 - 2.7. Suppose 0 = -2*w + 5*w - 3. What is the closest to s in h, -5, w? h Let f(r) = 2*r - 6. Let n be f(4). Suppose n*k = -2*k - 20. Let y(p) = -p**3 - p**2 - p. Let d be y(-1). Which is the closest to d? (a) -1 (b) k (c) 5 a Let u = 3 - 2. Let v be 150/20 + 5/(-2). What is the closest to -1 in v, -1, u? -1 Let k be (-18)/8 - (-2)/8. Let s = -10.5 + 10.2. Which is the closest to 2/3? (a) k (b) 4/3 (c) s b Let s = 5 - 3. Let o = 1 - s. Let t(d) = 2*d**3 + 3*d**2 - 1. Let n be t(-2). Which is the closest to -0.1? (a) 5 (b) o (c) n b Let x = 67 - 69. Let m = -6/11 - -35/44. Which is the closest to m? (a) x (b) 3/7 (c) -4 b Let y = -2.3 - -0.3. Let g = -0.2 + 4.2. Let f be (-1)/1*-1*-1. What is the closest to f in -2/11, y, g? -2/11 Let z = -7 + 4. Suppose h + 12 = 3*i, -4*h + 2 + 2 = i. What is the nearest to -2/7 in h, z, 4? h Suppose 20 = -4*k + 3*m, 2*k + 20 = -0*k + 4*m. Let i = 0 - 0.3. Let b = 10.1 + -10. What is the nearest to k in b, 2/5, i? i Let k = -2 + 2.2. Let r = -12.7 - -12. Let z = 1.2 + r. What is the nearest to -0.3 in k, -3/2, z? k Let d = -5.096 - -0.096. What is the nearest to -0.35 in 5, d, 4/5? 4/5 Let u = -5.6 - -6. Let g = 1.6 - 2. Let r = u + g. Which is the nearest to -0.1? (a) -0.5 (b) r (c) -1 b Let s(m) = m - 8. Suppose -y + 20 = 3*y - 2*x, 0 = -2*x + 8. Let i be s(y). Let f be i/((-51)/(-12) + -2). Which is the nearest to 1/4? (a) f (b) -4 (c) -2 a Suppose -u = 4*t - 15, 0*u - 2*u = -5*t + 35. Let f = -9 + t. Let z = -0.11 - 4.89. Which is the closest to 0? (a) 3 (b) z (c) f a Let v = 0.55 + -0.35. Which is the closest to 0.2? (a) v (b) -4 (c) -0.4 a Let c be (-34)/30 + (-18)/(-30). Let o = c - 2/15. What is the nearest to -1/2 in o, 2/9, -3? o Let l = -2.89 + -0.11. Which is the closest to -2/5? (a) -0.5 (b) l (c) 2/13 a Let u = 73 + -72. Let k = -7.2 + 8. Let q = k - 3.8. Which is the closest to 0.1? (a) u (b) q (c) 2/5 c Let q = 6.2 + -6. Let h = -466/35 - -68/5. Which is the nearest to 0? (a) h (b) q (c) 5/3 b Let l = 2.2 - 12.2. Let k = l - -9.5. Let i = 0.08 + -0.38. Which is the nearest to -1? (a) i (b) k (c) 0 b Let a = -0.06 - 0.04. Let k = -44/105 - -2/15. What is the nearest to a in 1, k, -4? k Let n = 15 + -13. What is the closest to n in 0.3, -2/17, 0.1? 0.3 Let q = 0.025 - -0.975. Which is the closest to -0.1? (a) q (b) 7/5 (c) -3 a Let k = 0.093 - -0.127. Which is the nearest to 0? (a) k (b) 5 (c) -0.4 a Let r = 101/4 - 25. Let s = 1 - 1.4. Let b = 3 + -3. What is the closest to b in 2, r, s? r Let h = 0.4 - 0.2. Let d = 47 + -47. What is the nearest to d in h, 2, 5? h Let o(h) = -2*h**3 + 9*h**2 - 4*h. Let p be o(4). What is the nearest to -1 in 2/5, p, 1/6? p Let q = -6 - -8. Let a be 1/q - 33/(-6). Suppose -3*v - a = -0*v. What is the closest to 0 in -0.5, -4, v? -0.5 Let x = -20.2 + 20.7. Let o = 2.1 - 2. Which is the nearest to o? (a) -1 (b) x (c) 1/3 c Let d = 4.04 - 0.04. Let t(b) = -2*b**3 + 18*b**2 - 17*b + 7. Let y be t(8). What is the nearest to -1 in y, -5, d? y Let l = -228 - -223. Let t = 0 - 0. What is the closest to -1 in t, 4, l? t Let y = 2.5 + -3. Let f = -0.24 + -2.76. What is the nearest to -1 in -1, y, f? -1 Let u = 7 + -7.3. Which is the closest to 1/3? (a) u (b) 2 (c) -0.5 a Let q = 1.2 + -1. Let h = 1.99 + 0.01. What is the closest to 0.2 in h, -2/13, q? q Let f = -1 + -2. Let u = 109/3 + -36. Let r = 7/30 - u. Which is the nearest to 0.1? (a) 0.2 (b) r (c) f a Let o(l) = 2*l - 2. Let t be o(2). What is the closest to 0.1 in t, -1/6, -2/15? -2/15 Let t = 0.012 + 0.038. What is the nearest to 0.1 in -4, t, 0.3? t Let z = -9 + 55/6. Let o = -2.2 + -0.86. Let l = o - -0.06. Which is the nearest to 0.1? (a) l (b) 2 (c) z c Let k = 8 - 5. Let p = k - 0. Which is the closest to 0.2? (a) -2/23 (b) p (c) 2/7 c Let y = 1563/1244 - 2/311. What is the nearest to -2 in -2, y, 3? -2 Let m = -14 + 17. What is the nearest to -2/15 in -4, m, -1? -1 Let i = 1.8 + 0.2. Let g = 0.3 + -0.8. What is the nearest to -0.2 in -2/5, g, i? -2/5 Let z = -10 - -18. Let b = z + -7. What is the nearest to b in 4, -0.2, 0.2? 0.2 Let p = -265/6 + 44. Let n be ((-358)/3)/(20/18). Let l = 107 + n. Which is the closest to l? (a) p (b) 4 (c) 0 a Let m = -0.01 - 4.99. Let y = m - -3. What is the closest to y in 5, -4, 0.3? -4 Let m = -3.3 - -3.17. Let d = -0.1 - m. Let x = d - 3.03. Which is the closest to 0? (a) -2/5 (b) x (c) 1/7 c Let q = -13 - -11. Which is the closest to 0.1? (a) 5/4 (b) q (c) 5 a Let o = -2 - -4. Let a be ((-9)/(-15))/(-3 - -6). What is the closest to -2/3 in o, a, 5? a Let f be (-2)/4*(-2)/4. Let t = 217/3 - 4997/69. Let p = 0.13 + -0.03. Which is the nearest to f? (a) p (b) t (c) -0.2 a Let k = -0.8 - -1.8. Let v be 2/(-1 + 3/5). Let g be 2/2 - (3 + -1). Which is the closest to g? (a) v (b) k (c) 0.2 c Suppose 4*v + 6 = 2. Let s be v + 2 - (-8)/(-6). Suppose 2*d - 4 = 4*d - c, 0 = -4*d + 3*c - 6. What is the closest to -0.1 in d, s, 0.4? s Let d = 12.2 + -11. Let i = d - 1.4. What is the closest to 0 in 2/3, i, -0.5? i Let j = 16 - 15. Let i be 2 + -2 - (1 - 3). Which is the closest to -2? (a) 2/3 (b) i (c) j a Let o = -0.03 - 1.97. Let l = 2 + -2.3. Which is the closest to o? (a) -1/4 (b) -1/8 (c) l c Let x = 3 + -4. Let q = -7.4 + 6. Let w = 0.6 - q. Which is the closest to x? (a) -1 (b) 0.1 (c) w a Let v(g) = 2*g**2 - 4*g + 5. Let n be v(2). Let k be (-12)/10 - (-1)/n. Which is the nearest to k? (a) -0.4 (b) -4 (c) 1 a Let d = -6.7 - -0.7. Let h = d - -6. Which is the nearest to h? (a) -2/3 (b) 0.4 (c) 4 b Let g = -6.6 + 7. Let s = 0.6 - g. What is the nearest to s in -4/5, -0.2, 0.3? 0.3 Suppose 7*k - 9 = 4*k. Let y be 4*1 + -16 + 8. Let g = k + y. What is the nearest to g in 1, -0.3, -1/3? -1/3 Let h be (-4)/48 - 1/(-4). Let f = -0.2 - -0.1. Let z = 0.1 - f. Which is the closest to -1? (a) z (b) h (c) -0.5 c Let z = 359/5 - 72. Which is the closest to 1? (a) 0.1 (b) z (c) 5 a Let f = 5.6 - 6. Let d = -0.6 - -1. Let u = 1.6 + d. What is the nearest to -2/5 in 0, f, u? f Let q be (6/21)/(4/7). Suppose 0*w + 3*w = -6. Let r be (-8)/6*(-1)/w. Which is the nearest to r? (a) q (b) -2 (c) -4 a Suppose -5*m = -2*r - 0 + 23, 0 = 2*r - 3*m - 13. Let k = -1.1 + 6.1. What is the nearest to 1/2 in r, -0.1, k? -0.1 Let t = -8 + 47. Let p be (6/t)/(0 - 1). Which is the closest to -1/4? (a) 5 (b) p (c) 1/2 b Let s(u) = -2*u**3 + u**2 - 1. Let i be s(1). Let y be (-3)/(18/16) - i. Let m = 10 + -5. What is the closest to 0.2 in m, y, -3? y Let g = 65 - 65. What is the closest to 0.1 in -2, g, 4? g Let t = 10.93 + -11. Let s = t - -2.07. Which is the closest to 2/13? (a) 1 (b) s (c) 1/3 c Let d = 0.2 - 0.1. Let t = -0.36 + 0.36. What is the closest to -0.6 in d, -4, t? t Let z = -3 - -4. Let k = 47 + -48. Which is the closest to k? (a) z (b) 0.5 (c) -1/5 c Suppose 0 = 2*v - 7*v - 5. Let r = -2 - -7/5. Which is the closest to v? (a) 1/4 (b) r (c) -4 b Let s be (-3)/9 + 2/(-12). Let x be (4*(-1)/2)/9. Let i = -653/7 - -93. Which is the closest to s? (a) x (b) -5/2 (c) i c Let b = -118 - -116. What is the closest to b in -1, 0.08, 0.5? -1 Let q = 0.1 - 0.2. L
{ "pile_set_name": "DM Mathematics" }
of (-27 - (-476)/17)/(1 + (-27)/24)? -8 8/(-132)*(7/(-35) + (-47)/(-10)) -3/11 Calculate 1/((-10)/234 + (-16)/(-104)). 9 Calculate (-6)/(3 - -3 - 14 - (-4 + -2)). 3 Calculate (5/(-3))/(-6*(-100)/(-3960)). 11 Calculate (-1 - 2)/(7 - 544/80). -15 What is the value of 16 + (-98)/14 - 7? 2 What is the value of ((-3)/(2 - 5) - -8)*(-38)/(-171)? 2 Evaluate -6*78/216 - (-2 + 10/4). -8/3 -24 - (1028/(-2827) + 80/(-22)) -20 Calculate (6/(-10)*-1)/((-1647)/(-610)). 2/9 ((-105)/245 - (230/(-7))/(-5)) + 1 -6 What is the value of 159/(-12) + 24/320*-10? -14 -8*(9*(-22)/(-72) + 9/(-12)) -16 What is 2106/270 + -3*(-4)/10? 9 What is (-280)/(-168)*(-378)/147? -30/7 Evaluate -21 - 2*25/(-2). 4 What is 4 - (9/6)/((-52)/(-104))? 1 What is the value of ((-8)/(-14))/((-26)/(-12) - 2/12)? 2/7 What is the value of ((-3090)/927)/((-2)/(-12))? -20 Calculate (-17)/34 - (9 - (-103)/(-10)). 4/5 What is the value of -8 - (-1280)/48 - 20? -4/3 What is 9 - (-25 - (-5232)/156)? 6/13 144/69 + 1170/(-13455) 2 Calculate (14 - 342/18)/((-5)/(-2)). -2 What is the value of 65/(-55) - -1 - 72/(-33) - -3? 5 (260/182)/(((-40)/84)/(-5)) 15 24/(-27) - (6 + -7) - (-12)/54 1/3 What is 427/70 + 1/2 + (-16)/(-40)? 7 What is (410/40 + 6)*48/30? 26 Calculate (-2)/(-4) + 40*52/45760. 6/11 What is the value of 22/(-108)*(-53)/((-9911)/(-68))? 2/27 What is (10*2/2380)/(1/(-7))? -1/17 Evaluate (2 - (-1842)/(-558)) + (-404)/(-303). 1/31 What is (-15)/(-20) + 60/(-16)? -3 (22 - -338)/(-12) + 11 + 2 -17 What is the value of 12/(-30)*(4 - 189/36)? 1/2 ((-36)/(-24))/((-28)/(-56)) 3 What is ((-9596)/23990)/(((-2)/5)/(-2))? -2 ((-46)/(-276))/((-1)/(-96)) 16 What is ((-19470)/88)/(-59) + 9/(-12)? 3 Calculate (2/(-2))/((-8)/(-10) + (-9174)/11880). -36 Evaluate (-177)/(-2478) - (-31)/14. 16/7 -5 + (-8 - -10) + (-1)/((-3)/(-21)) -10 Calculate -1*57/(16 - (13 - 0)). -19 What is 102*(-6)/48 + 12? -3/4 Evaluate (-4 - (-41 + (-48)/(-2)))/((-1)/3). -39 -3 + -40*(-12)/(-60) -11 What is (-15)/(-6)*(-5)/((-25)/(-16))? -8 What is -2*2 + -1 - (-12070)/2840? -3/4 Calculate (4/(-25))/(818 + -814). -1/25 (-10)/(-15)*(-10 - (-231)/24) -1/4 What is the value of 2*(-7)/(-2) + 0 + (-29232)/2610? -21/5 (770/(-7))/5 - -3 -19 What is -1*(-28)/(-406) + 27336/10353? 18/7 What is the value of (-1040)/19500*15/(-4)? 1/5 What is the value of 17 + (225/5)/(-5) + 9? 17 Evaluate (1/(-84)*-4)/((-2)/4). -2/21 Evaluate (-26)/(-325) + 0 + 668/400. 7/4 Calculate 47430/(-204)*((-13)/(-15) - 1). 31 What is (-10)/(-336) - ((-9200)/(-420) - 22)? 1/8 ((-77 - -77)/(-1 - 0))/(11 - 14) 0 Evaluate ((-3)/2)/((-181)/(-1086)). -9 What is the value of 1156/(-6069) + 1626/(-63)? -26 What is the value of 12 + 17 + (-671)/22 + 15? 27/2 Calculate 752/(-1034) + 157/(-11). -15 Evaluate (-37 - -33) + 6*(-12)/8. -13 What is the value of (-17)/((-1224)/16) + 303/(-27)? -11 What is the value of (3321/(-1476))/(9/48)? -12 What is -6*(-4 + (-2 - (-7 - (-1320)/1332)))? -2/37 What is ((-80)/(-18))/10*57/95? 4/15 ((-136)/(-12) - 11)/((-3)/((-189)/15)) 7/5 Calculate (-1)/(4/(-30)*20/40). 15 Calculate -15 - (-184)/(-112)*-7. -7/2 What is the value of ((-50)/9)/((-175)/(-630))? -20 (47/12)/(-1) + (-33)/836*-57 -5/3 What is 17*1 - (59 + (-122772)/2925)? -2/75 Evaluate 2*46/((-2760)/450). -15 Evaluate (-234)/195*4*6/(-648). 2/45 What is the value of 4/(-2)*((-1575)/(-10))/(-45)? 7 (-171)/(-12)*1840/8740 3 Calculate ((-1)/((-10)/12))/((-1276)/9570). -9 2561/(-117) + (-328)/(-369) -21 (-112)/(-6) + (-181 - -166) + (-1)/(-3) 4 (-18)/21 + (-50)/105 + (-176)/(-33) 4 42/(-105)*30/(-52) 3/13 Calculate (83/(-6) - -21) + -1*8. -5/6 What is (-1197)/(-1170)*(-3)/(-7) - 16/40? 1/26 Calculate ((-4)/(-5) - (-81)/(-95))/(35 - 34). -1/19 Evaluate 88/(-28)*((-294)/(-28) + -14). 11 Calculate 28/(-78) + (-96)/312. -2/3 (5196/14112 - ((-19)/(-8) - 2))*3 -1/49 Calculate ((-8)/45 - 82/369)*(-1 + 56). -22 What is (-10)/(-12) + (-61870)/(-3228)? 20 Calculate (-387)/39 - (4 - (-56)/(-4) - 0). 1/13 15/(-18) + 14651/546 26 Evaluate 148/(-37)*-6*7/28. 6 What is the value of 1 + 27/3 + -13? -3 What is ((-11)/176*12)/((-14)/(-336))? -18 Evaluate ((-32)/4)/(474/(-21) + 14 - -8). 14 What is the value of (-19)/(-88) + (-9)/72 + 1 + -1? 1/11 Evaluate -3 + ((-572)/(-65))/2. 7/5 ((-60)/225)/(-3 + 126/35) -4/9 Evaluate (-744)/(-290) + (-10205)/3925. -1/29 What is the value of (-31)/1240*-40 - (406/60)/7? 1/30 Calculate (-108)/90*(2 - (-9)/(-6)). -3/5 What is (-560)/(-3875) + 792/100 + (-72)/9? 2/31 What is the value of 37 + 6524/(-126) + 15? 2/9 Evaluate (17/(-7) + 1)/(1384/(-1211)). 5/4 (-39)/(-65)*(10 + -9) 3/5 What is 1*-4 - (-216)/24 - 38/7? -3/7 Calculate 128/1344 + -1*229/(-21). 11 Evaluate ((-11)/2)/((-880)/1440). 9 6 - (41/(-20) + (-34)/(-680)) 8 ((-437)/1012 + 2/(2 + 6))/(-2) 1/11 What is 7/((-315)/387) + (48/(-20))/6? -9 Evaluate -14 - (31/4 + -7) - (-9)/12. -14 What is (10 - 10)/(-9) - (1 - 57/54)? 1/18 What is (4/(-5))/2*75/(-30)*-5? -5 3 - 0 - -21*23/(-483) 2 Calculate 1/(-6)*(-35 - 3686/(-114)). 4/9 Evaluate (-115)/(-23) - (-90)/(-24)*(-96)/(-63). -5/7 Evaluate 35/30*(-300)/525. -2/3 What is the value of (-3 + 19 + -6)*42/30? 14 What is (10/6)/((-259)/3108)? -20 What is the value of -1 - ((-30)/40 + (-90)/8)? 11 Calculate (-450)/60*2/(-50). 3/10 (-2 - -1 - -2)*(-535 - -524) -11 Calculate ((-7035)/135 - -51)/((-5)/6). 4/3 Calculate 4/26 + (-167056)/11024. -15 What is the value of (-8820)/6615*((-501)/36 - (-1)/(-3))? 19 What is 26 + 2856/(-96) - (-9 - -2)? 13/4 What is (-4 - (0 - (-6 + 12)))*24/(-16)? -3 What is 39/(-208)*7/(-21)? 1/16 What is (9284/2958)/(-22) - (-24)/612? -3/29 Calculate 20/(-3)*72/(-210). 16/7 (2 + (-535)/(-150) - 5) + (-20)/50 1/6 What is 33/(19 + -16) - 4? 7 Calculate ((-4)/6)/((-4)/5)*(-1023)/(-1364). 5/8 ((-90)/24*2)/((-357)/(-238)) -5 What is ((-11)/22)/(2 + 23/(-12))? -6 424/88 + 1 + 4/22 6 Calculate 200/(-1000)*150/(-32)*20/(-3). -25/4 What is 108/(-12) + 2/((-14)/(-91))? 4 What is the value of (-669 - -668)/(18/4)? -2/9 Evaluate ((-1)/(-38))/((-38)/38). -1/38 Evaluate (-7)/2*-105*94/987. 35 What is 0 + 6 + -8 + -6? -8 What is the value of (-6356)/2270 + 122/(-10)? -15 Calculate (-3050)/(-1650) - ((-60)/33 + 2). 5/3 Evaluate (275/(-6050))/(1/2). -1/11 Evaluate -4*8/(-624)*-1*-3. 2/13 What is 4 - 1 - 5 - ((4 - -2) + -6)? -2 Calculate 10089/(-5605) + (-1)/20*134. -17/2 Calculate 84/(-70)*-5 - 16. -10 What is (0 - (-18)/21)/((-181)/(-3801))? 18 What is (-2002)/273 - 5/((-45)/12)? -6 (-16)/120 + (-147)/35 -13/3 What is 17*-1 + -564 + 591? 10 Calculate 2016/(-90) + 24 - 232/170. 4/17 Calculate -8*10/1080 - (-2330)/108 - 8. 27/2 Evaluate 18/(-30) + ((-2)/(-4))/((-330)/(-616)). 1/3 (-3128)/(-529)*1 + 3*-2 -2/23 Evaluate (-736)/360 + 5/(125/40). -4/9 Evaluate ((-567)/(-945))/(1 - 4)*-35. 7 Calculate ((-317078)/21411 - 2/54) + (-2)/13. -15 What is the value of (135/54)/((-3)/(-6))? 5 What is ((8 - 3) + 50/(-6))/((-2)/(-3))? -5 (-6566)/(-34974) + 3/87 2/9 Evaluate 74/(-111) + 97/15 + -9. -16/5 Calculate (-6)/(-4)*208/(-312) - -1. 0 Evaluate ((-144)/(-63))/(120/28 - 4). 8 (320/400)/(4/(-30)) -6 Evaluate 40128/(-1296) - (-14)/(-378). -31 Calculate -2 + (42 - 16 - 16). 8 What is (-185)/(-45) + -4 + (-155)/558? -1/6 What is (-2)/((-6448)/(-338) - 19)? -26 (-6)/(-48) + 15/(-120) 0 Evaluate (-2)/33*67 - (-72)/90*5. -2/33 (159/477)/((-3)/261) -29 What is 21/(-21*(-28)/(-98))? -7/2 What is the value of 3 - (7 + (-3)/1)*168/(-224)? 6 What is the value of -14 + 50*6/60? -9 What is the value of (4/(-34))/((-640)/212160)? 39 Calculate (-7 - 14)*-1 + -14. 7 1 + (-3)/(-15) - (3116/(-95) + -5) 39 What is (-22344)/(-2352) + (-10)/1? -1/2 4 - (2/(-8))/(4/(-304)) -15 Calculate (9*(-100)/(-825))/((9/(-33))/(-3)). 12 3/63*3 + (297/(-42))/11 -1/2 What is the value of (54/28)/((-33)/10 + (-1632)/(-340))? 9/7 Calculate (13 - 1400/60) + ((-5)/(-3))/5. -10 What is (-37 + (-780)/(-26))*(-2)/(-2)? -7 Calculate 60/48 + 6 + (-6)/(-8). 8 What is -9 + 60/16*(-4)/(-3)? -4 Evaluate (8946/41748)/((0 - -2)*(-2)/24). -9/7 Evaluate 113190/(-10395) - 1/9*-8. -10 200/1250*5/(-2) - (-52)/5 10 What is (-2)/(-1) + (22/((-462)/57) - 0)? -5/7 Evaluate ((-12)/(-250))/(3/(-5)). -2/25 Evaluate (51952/84)/(-68) - 9*-1. -2/21 Evaluate (20 - (-629)/(-34))*2*(-1 - 0). -3 Calculate -1*(-20)/(-2) - (-119)/((-4641)/585). -25
{ "pile_set_name": "DM Mathematics" }
140*o - 136. -4*(o + 1)*(o + 34) Factor s**4/5 - 4*s**3/5 - 12*s**2/5. s**2*(s - 6)*(s + 2)/5 Factor -4*y**2 - 232*y + 5100. -4*(y - 17)*(y + 75) Let 8*y**3/5 - 22*y**2/5 + 4*y - 6/5 = 0. Calculate y. 3/4, 1 What is i in -2*i**3/13 + 126*i**2/13 = 0? 0, 63 Let -3*f**3/5 - 81*f**2/5 - 342*f/5 - 264/5 = 0. What is f? -22, -4, -1 Suppose 4*r**3 + 660*r**2 + 36300*r + 665500 = 0. What is r? -55 Factor -4*d**4 - 18*d**3 - 20*d**2 - 6*d. -2*d*(d + 1)*(d + 3)*(2*d + 1) Solve 289*u**5/6 - 459*u**4/2 + 1687*u**3/6 - 137*u**2/2 - 88*u/3 - 2 = 0. -2/17, 1, 3 Let h**5/3 + 8*h**4/3 - 2*h**3/3 - 124*h**2/3 - 215*h/3 - 100/3 = 0. What is h? -5, -1, 4 Factor t**3/3 + 347*t**2 - 695*t + 1043/3. (t - 1)**2*(t + 1043)/3 Determine i so that -i**2/2 - 161*i/2 + 81 = 0. -162, 1 Factor -5*v**2 + 820*v - 33620. -5*(v - 82)**2 Determine o so that -15*o**4 - 39*o**3 + 258*o**2 - 276*o + 72 = 0. -6, 2/5, 1, 2 Determine t so that -5*t**3 - 580*t**2 + 2380*t - 2400 = 0. -120, 2 Factor -4*o**4/3 - 10*o**3/9 + 2*o**2/9. -2*o**2*(o + 1)*(6*o - 1)/9 Find u, given that -5*u**4/2 - 2235*u**3 - 981005*u**2/2 + 4031940*u - 8136040 = 0. -451, 4 Let 2*v**3/9 - 2*v**2/3 - 2*v + 6 = 0. What is v? -3, 3 Determine w, given that w**2 + 29*w/7 - 36/7 = 0. -36/7, 1 Factor 3*i**2 - 531*i. 3*i*(i - 177) Find h, given that h**2 - 251*h + 498 = 0. 2, 249 Factor 2*z**3/7 + 30*z**2/7 + 96*z/7 + 88/7. 2*(z + 2)**2*(z + 11)/7 Factor -3*o**2 + 114*o - 408. -3*(o - 34)*(o - 4) Factor -2*d**2 - 142*d + 1440. -2*(d - 9)*(d + 80) Let -5*d**2/3 - 5365*d/6 + 895/2 = 0. What is d? -537, 1/2 Factor -2*j**5/9 + 1124*j**4/9 - 157922*j**3/9. -2*j**3*(j - 281)**2/9 What is b in 2*b**2 - 48*b - 162 = 0? -3, 27 Find y, given that -2*y**3/7 + 20*y**2/7 - 34*y/7 + 16/7 = 0. 1, 8 Determine s, given that 44*s**4/5 - 104*s**3/5 - 1068*s**2/5 + 520*s - 160 = 0. -5, 4/11, 2, 5 Factor -3*i**2/5 + 126*i/5 - 111. -3*(i - 37)*(i - 5)/5 Solve 2*a**5/3 - 8*a**4/3 - 2*a**3/3 + 32*a**2/3 - 8*a = 0. -2, 0, 1, 2, 3 Factor 16*y**5 - 48*y**4 + 4*y**3 + 48*y**2 + 16*y. 4*y*(y - 2)**2*(2*y + 1)**2 Factor f**2/5 + 166*f/5 + 6889/5. (f + 83)**2/5 Factor -28*k**3 - 1380*k**2 - 1736*k - 384. -4*(k + 1)*(k + 48)*(7*k + 2) Factor 3*d**4/5 + 46*d**3/5 + 44*d**2 + 264*d/5 - 288/5. (d + 4)*(d + 6)**2*(3*d - 2)/5 Determine w so that 4*w**5 + 184*w**4 + 352*w**3 - 8*w**2 - 356*w - 176 = 0. -44, -1, 1 Factor 2*k**2 - 3600*k + 1620000. 2*(k - 900)**2 Determine b, given that 3*b**2/5 + 943*b/5 + 314/5 = 0. -314, -1/3 Factor 2*a**3/7 + 58*a**2/7 - 256*a/7 + 264/7. 2*(a - 2)**2*(a + 33)/7 Factor -4*x**3 - 48*x**2 - 80*x. -4*x*(x + 2)*(x + 10) Factor -3*c**2/7 - 12*c - 63. -3*(c + 7)*(c + 21)/7 Solve 2*i**4/17 - 22*i**3/17 - 70*i**2/17 + 198*i/17 + 468/17 = 0. -3, -2, 3, 13 Determine n so that 2*n**5 + 22*n**4 - 66*n**3 - 670*n**2 + 736*n + 1320 = 0. -11, -6, -1, 2, 5 Determine l so that -25*l**5 + 285*l**4 - 960*l**3 + 940*l**2 - 240*l = 0. 0, 2/5, 1, 4, 6 Factor -23*b**3 - 182*b**2 + 223*b - 18. -(b - 1)*(b + 9)*(23*b - 2) Suppose 60*a**5 - 1955*a**4 + 4565*a**3 + 2580*a**2 - 900*a = 0. Calculate a. -2/3, 0, 1/4, 3, 30 Determine k so that -k**4 + 8*k**3 - 7*k**2 = 0. 0, 1, 7 Let 2*h**3 + 54*h**2 + 390*h + 338 = 0. Calculate h. -13, -1 Determine m so that -196*m**5 + 252*m**4 + 1116*m**3 - 332*m**2 + 24*m = 0. -2, 0, 1/7, 3 Let 300*t**5 - 765*t**4 + 618*t**3 - 129*t**2 - 36*t + 12 = 0. Calculate t. -1/4, 2/5, 1 Suppose q**2/2 - 22*q - 45/2 = 0. What is q? -1, 45 Determine m so that 5*m**4 + 60*m**3 - 5*m**2 - 60*m = 0. -12, -1, 0, 1 Determine g, given that 2*g**3/15 + 220*g**2/3 - 2206*g/15 + 368/5 = 0. -552, 1 Solve 3*p**3 - 2895*p**2 + 8664*p - 5772 = 0 for p. 1, 2, 962 Factor f**5/4 - 35*f**4/4 + 247*f**3/4 + 1083*f**2/4. f**2*(f - 19)**2*(f + 3)/4 Factor p**3/3 + 422*p**2 + 178084*p + 75151448/3. (p + 422)**3/3 Factor a**3 + 2*a**2 - 5*a - 6. (a - 2)*(a + 1)*(a + 3) Suppose -2*s**3 + 62*s**2 + 2*s - 62 = 0. What is s? -1, 1, 31 Factor -4*x**4 + 188*x**3 - 364*x**2 + 180*x. -4*x*(x - 45)*(x - 1)**2 Solve l**5 + l**4 - 11*l**3 + 7*l**2 + 10*l - 8 = 0. -4, -1, 1, 2 Factor 6*s**4 + 16*s**3 - 60*s**2 + 48*s - 10. 2*(s - 1)**2*(s + 5)*(3*s - 1) Factor 5*g**3 + 30*g**2 - 35*g. 5*g*(g - 1)*(g + 7) Factor 2*q**3/7 + 214*q**2/7 - 660*q/7. 2*q*(q - 3)*(q + 110)/7 Suppose -2*o**2 - 2*o + 4 = 0. What is o? -2, 1 Factor 2*h**2/7 + 6282*h/7 + 6280/7. 2*(h + 1)*(h + 3140)/7 Let -3*f**2 - 456*f - 17328 = 0. What is f? -76 Solve -40*w**5 + 516*w**4 - 1320*w**3 - 2492*w**2 + 1176*w = 0 for w. -3/2, 0, 2/5, 7 Factor 2*g**2 + 197*g + 98. (g + 98)*(2*g + 1) Suppose g**2/8 - 445*g/4 - 223 = 0. What is g? -2, 892 Factor -4*c**4 - 8*c**3. -4*c**3*(c + 2) Let -j**3/9 - 1075*j**2/9 - 287287*j/9 + 290521/3 = 0. What is j? -539, 3 Suppose -5*b**3 + 70*b**2 - 65*b = 0. What is b? 0, 1, 13 Solve 4*v**4/3 - 68*v**3/3 + 120*v**2 - 144*v - 288 = 0 for v. -1, 6 Find i such that 4*i**5 + 8*i**4 + 4*i**3 = 0. -1, 0 Factor -2*n**2 + 12*n + 560. -2*(n - 20)*(n + 14) Factor -15*y**5 + 156*y**4 - 435*y**3 + 150*y**2. -3*y**2*(y - 5)**2*(5*y - 2) Suppose 5*i**3 - 25*i**2 - 165*i - 135 = 0. Calculate i. -3, -1, 9 Determine d so that -5*d**2 - 55*d - 50 = 0. -10, -1 Factor -20*o**2 - 95*o + 25. -5*(o + 5)*(4*o - 1) Suppose 33*v**5/7 + 291*v**4/7 + 540*v**3/7 - 240*v**2/7 - 768*v/7 + 144/7 = 0. Calculate v. -6, -2, 2/11, 1 Find d, given that 8*d**4 - 30*d**3 - 8*d**2 + 30*d = 0. -1, 0, 1, 15/4 Determine m, given that -5*m**2 - 4740*m - 1123380 = 0. -474 Find k, given that 10*k**4/3 - 16*k**3 + 10*k**2 + 8*k/3 = 0. -1/5, 0, 1, 4 Factor -x**3/5 - 762*x**2/5 - 193548*x/5 - 16387064/5. -(x + 254)**3/5 Factor 12*a**3 + 1048*a**2 + 348*a. 4*a*(a + 87)*(3*a + 1) What is u in 3*u**4/5 + 117*u**3/5 - 27*u**2/5 - 1053*u/5 = 0? -39, -3, 0, 3 Factor -d**5/7 - 137*d**4/7 + 846*d**3/7 - 244*d**2 + 1144*d/7. -d*(d - 2)**3*(d + 143)/7 Let 2*r**5/15 - 4*r**4/5 + 22*r**3/15 - 4*r**2/5 = 0. What is r? 0, 1, 2, 3 Determine c, given that c**2 + 2906*c - 2907 = 0. -2907, 1 Let j**3 + 35*j**2 - 36*j = 0. Calculate j. -36, 0, 1 Find l, given that 3*l**2 - 615*l + 1818 = 0. 3, 202 What is p in -3*p**3 - 1632*p**2 - 4875*p - 3246 = 0? -541, -2, -1 Suppose 5*o**4 + 300*o**3 + 4495*o**2 - 300*o - 4500 = 0. What is o? -30, -1, 1 Factor 2*p**2 + 310*p - 628. 2*(p - 2)*(p + 157) Factor -2*k**3/5 + 134*k**2/5 + 1922*k/5 - 2054/5. -2*(k - 79)*(k - 1)*(k + 13)/5 Find f, given that f**5 + 47*f**4 + 657*f**3 + 2457*f**2 + 2646*f = 0. -21, -3, -2, 0 Factor w**5/4 - 43*w**4/4 + 365*w**3/2 - 3059*w**2/2 + 25333*w/4 - 41503/4. (w - 11)**2*(w - 7)**3/4 Suppose 5*z**3 + 280*z**2 - 575*z + 290 = 0. What is z? -58, 1 Factor 2*d**3/3 - 8*d**2 + 32*d - 128/3. 2*(d - 4)**3/3 Let -x**5 + 14*x**4 - 60*x**3 + 50*x**2 + 125*x = 0. What is x? -1, 0, 5 Factor 3*i**2/5 - 48*i/5 + 117/5. 3*(i - 13)*(i - 3)/5 Determine x so that 5*x**2 + 2390*x + 285605 = 0. -239 Factor -5*g**3 + 435*g**2 - 855*g + 425. -5*(g - 85)*(g - 1)**2 Let -3*y**3/5 - 24*y**2 - 1311*y/5 - 2166/5 = 0. What is y? -19, -2 Solve -i**3/4 - 3*i**2/2 + i/4 + 3/2 = 0. -6, -1, 1 Solve -3*j**3/7 + 36*j**2 + 255*j/7 = 0. -1, 0, 85 Factor a**2/4 + 191*a/2 + 36481/4. (a + 191)**2/4 Factor -360*r**3 + 375*r**2 - 130*r + 15. -5*(3*r - 1)**2*(8*r - 3) Let 2*i**5/5 - 4*i**4 - 116*i**3/5 + 32*i**2/5 + 354*i/5 - 252/5 = 0. What is i? -3, 1, 14 What is a in 2*a**4/17 + 14*a**3/17 + 30*a**2/17 + 18*a/17 = 0? -3, -1, 0 Factor i**2/4 + 43*i/4 - 11. (i - 1)*(i + 44)/4 Suppose 93312*n**5/11 - 520992*n**4/11 + 655992*n**3/11 - 271334*n**2/11 + 45766*n/11 - 2744/11 = 0. Calculate n. 7/36, 1, 4 Factor 3*j**2/7 - 177*j/7. 3*j*(j - 59)/7 Determine r, given that 2*r**3/3 + 4*r**2 - 14*r/3 = 0. -7, 0, 1 Factor -867*z**2/4 + 357*z/2 - 147/4. -3*(17*z - 7)**2/4 Factor -2*y**3/7 - 302*y**2/7 - 296*y/7 + 600/7. -2*(y - 1)*(y + 2)*(y + 150)/7 Factor c**3/8 + 5*c**2/4 + 3*c/8 - 27/4. (c - 2)*(c + 3)*(c + 9)/8 Factor -2*g**2 - 44*g - 242. -2*(g + 11)**2 Factor -2*n**3/15 - 2*n**2/5 + 8*n/15. -2*n*(n - 1)*(n + 4)/15 Solve 2*d**3 + 37*d**2 + 148*d + 65 = 0 for d. -13, -5, -1/2 Factor 5*i**3 + 5980*i**2 - 23980*i + 24000. 5*(i - 2)**2*(i + 1200) Solve 4*x**5 + 82*x**4/7 + 22*x**3/7 - 86*x**2/7 - 50*x/7 + 4/7 = 0 for x. -2, -1, 1/14, 1 Solve 5*x**5 - 9*x**4 + 3*x**3 + x**2 = 0. -1/5, 0, 1 Determine g so t
{ "pile_set_name": "DM Mathematics" }
) = -2*d + 54. Let z(m) = -m. Give -o(k) + 3*z(k). -k - 54 Let l(r) = 9*r + 21. Let o(h) = -h**3 + 5*h**2 + h - 3. Let z be o(5). Suppose -33 - 72 = 5*d. Let w(v) = v + 2. Give d*w(f) + z*l(f). -3*f Let c(m) = -930*m - 4 + 3 + 927*m - 1. Let d be 28/(-6) + 1/(-3). Let w(x) = -2*x - 2. Calculate d*w(f) + 4*c(f). -2*f + 2 Let b(v) = -14*v + 5*v + 7*v + 6*v + 1. Let f(y) = 5*y. Calculate -4*b(p) + 3*f(p). -p - 4 Let s(t) = -6*t + 10. Let u(l) = 5*l - 9. Calculate 3*s(r) + 4*u(r). 2*r - 6 Let m(g) = -12*g**3 - 21*g. Let u be -5 + (-4)/4 + 1. Let q(l) = -3*l**3 - 5*l. What is u*m(x) + 21*q(x)? -3*x**3 Let s(n) = -1. Let a(o) = o - 6. Suppose -2*h + 3 - 1 = 0. Let g(i) = h*a(i) - 6*s(i). Let k(j) = -1 + 6*j + 4*j - 5*j. Calculate -11*g(x) + 2*k(x). -x - 2 Let k(u) = -15*u**3 - 6*u**2 + 9*u + 7. Let z(m) = 10*m**3 + 4*m**2 - 6*m - 5. What is -5*k(o) - 7*z(o)? 5*o**3 + 2*o**2 - 3*o Let i(c) = -c**2 + c. Let u(l) = -50*l**2 + 30*l - 15. Let s(x) = -30*i(x) + u(x). Let w(f) = -f**2 - 1. Calculate s(y) - 15*w(y). -5*y**2 Let u(v) = -81*v - 33. Let t(n) = 5*n + 0 + 0 + 0*n + 2. Determine 33*t(g) + 2*u(g). 3*g Let l(x) = x**3. Let f(d) = 6*d**3. Suppose -2*p - 4*b = -2*b + 80, 0 = -2*p - 4*b - 82. Calculate p*l(j) + 6*f(j). -3*j**3 Let f(o) = -7*o**3 - 6*o**2 - 6*o. Let j(a) = -a**3 - 6*a**2 - a + 5. Let n(b) = -b**3 - 7*b**2 - b + 6. Let d(y) = 6*j(y) - 5*n(y). Give -5*d(z) + f(z). -2*z**3 - z**2 - z Let u(q) = 10*q. Suppose -2*t + 35 = 3*t. Let y(s) = -s - 5. Let p(r) = -r - 2. Let z(f) = -5*p(f) + 2*y(f). What is t*z(v) - 2*u(v)? v Let n(q) = 28*q - 3. Let c(k) = 9*k - 1. Give -7*c(d) + 2*n(d). -7*d + 1 Suppose 12 = 3*m + m. Let u(i) = 4*i**3 - i + 3 + m*i + 0*i - 2*i**2. Let v(c) = -5*c**3 + 2*c**2 - 2*c - 4. Give 4*u(n) + 3*v(n). n**3 - 2*n**2 + 2*n Let q(k) = 4*k**3 - 6*k**2 - 5*k + 2. Let o(s) = -3*s**3 + 5*s**2 + 4*s - 2. Determine -6*o(j) - 5*q(j). -2*j**3 + j + 2 Let l(f) = f + 8. Suppose 4*s - 7*s = -18. Let u(p) = -p - 7. Give s*u(n) + 5*l(n). -n - 2 Suppose 4*u - 2*h + 78 = 0, -3*u - 76 = -0*u - 5*h. Let o(b) be the first derivative of -b**2/2 - 5*b + 1. Let p(x) = 3*x + 14. Calculate u*o(c) - 6*p(c). -c + 1 Let c(r) = 2*r + 8. Let u(o) be the first derivative of 1 + 0*o**2 + o**2 + 5*o - 3*o + 5*o. Determine 6*c(d) - 7*u(d). -2*d - 1 Let z(x) = 7*x**3 - 5*x**2 - 8*x + 4. Suppose -m + 3*r + 14 = -r, -2*m = -3*r - 3. Let g(d) = 8*d**3 - 6*d**2 - 9*d + 5. Determine m*z(o) + 5*g(o). -2*o**3 + 3*o + 1 Let j(y) = 3*y + 5. Let o(l) = l**3 - l**2 - 7*l - 11. What is -7*j(v) - 3*o(v)? -3*v**3 + 3*v**2 - 2 Let c(x) = 6*x**2 - 4*x - 7. Let k(o) = -3*o**2 + 2*o + 3. What is 3*c(j) + 7*k(j)? -3*j**2 + 2*j Suppose -2*q = f + 6, -5*f + 10 - 4 = q. Let p be (-1)/q - 14/(-8). Let k(i) = -i**2 - i - 1. Let l(j) = -3*j**2 - 2*j - 2. Calculate p*k(u) - l(u). u**2 Let y(q) = -5*q**2 + 1. Let n(r) = 53*r**2 - 9. Let d(u) = 18*u**2 - 3. Let v(z) = -11*d(z) + 4*n(z). Calculate -3*v(x) - 8*y(x). -2*x**2 + 1 Let w(g) = 2*g**2 - 2*g. Let v(p) = -9*p + 4*p - p + 4*p + 2*p**2. Determine 4*v(q) - 3*w(q). 2*q**2 - 2*q Let v(b) = b**3 - 7*b**2 - 5*b + 7. Let a(w) = 3*w**2 + 2*w - 3. What is 5*a(n) + 2*v(n)? 2*n**3 + n**2 - 1 Let x(z) = 5*z**2 + 1472*z + z**3 + 2 - 1472*z. Suppose -4*i + 8*i = 12. Let j(n) = n**3 + n**2. Determine i*j(b) - x(b). 2*b**3 - 2*b**2 - 2 Let g(v) = -11*v**2 - 7*v - 1. Let s(q) = -6*q**2 - 4*q. Suppose -15*z = -42 - 3. Determine z*g(k) - 5*s(k). -3*k**2 - k - 3 Let j(k) = -5*k**2 + k + 1. Let y(l) = 4*l**2 - l - 1. Let p(w) = -5*j(w) - 6*y(w). Let r(g) = -5*g**2 - 4*g - 5. What is -3*p(d) - r(d)? 2*d**2 + d + 2 Let l = -13 - -7. Let d(r) = 6*r**3 + 8*r**2 - 7*r + 8. Let k(s) = -5*s**3 - 7*s**2 + 6*s - 7. Suppose -m - 8 = -1. Determine l*d(c) + m*k(c). -c**3 + c**2 + 1 Let o(x) = 1 + x + 0 + 6 - 3. Let y(k) = -k + 9. Let t(r) = 9. Let l(b) = -3*t(b) + 2*y(b). Calculate 2*l(w) + 5*o(w). w + 2 Let k(n) = 78*n**3 + 104. Let d(o) = o**3 + 1. What is -104*d(t) + k(t)? -26*t**3 Let r(z) = -z - 1. Let n(j) = -3*j**2 + 5*j + 6. Give -n(m) - 6*r(m). 3*m**2 + m Let j(l) = 20*l**3 + 2*l**2 - 2. Let d(r) = 81*r**3 + 9*r**2 - 9. What is 2*d(p) - 9*j(p)? -18*p**3 Let s(f) = -f. Let t(u) = u. Give s(x) - t(x). -2*x Let y(h) = -2*h + 2. Let i(b) = b - 2. Suppose -5 = k + 2*f, 3*k = 2*k - 3*f - 5. Let j = 11 + k. Suppose -5*q + j = -3*q. Determine q*y(c) + 4*i(c). -2*c - 2 Let f(m) = -4*m + 5 - 3*m - m. Let h(t) = -38 - 18 + 70 - 23*t. Give -17*f(z) + 6*h(z). -2*z - 1 Let q(b) = b**3 - b**2. Let n = -5 + 4. Let l(d) = 2*d**3 - 4*d**2. Determine n*l(a) + 4*q(a). 2*a**3 Let g(n) = 4*n - 2*n - 2 + n - 5*n**2. Let d(v) = 6*v**2 - 4*v + 3. Suppose 0 = -4*r - 3 + 7. Let j = -2 - r. What is j*d(y) - 4*g(y)? 2*y**2 - 1 Suppose -4*r - 6*d + 2*d + 24 = 0, -5*d + 20 = 0. Let a(s) = 1 + 1 + 0*s - s**2 + s + 5*s**r. Let l(j) = 3*j**2 + j + 2. Determine -2*a(k) + 3*l(k). k**2 + k + 2 Let k be (-264)/42 + 2/7. Let v(l) be the first derivative of -11*l**4/4 - 4*l**3/3 + 2*l + 7. Let w(u) = 5*u**3 + 2*u**2 - 1. Determine k*v(o) - 13*w(o). o**3 - 2*o**2 + 1 Let f(n) = -2*n**2 - n - 4. Suppose 4*w = -s - 7, -5*s + s + w = -23. Suppose -s*t - 8 = 17. Let p(u) = -u**2 - u - 2. Give t*p(d) + 3*f(d). -d**2 + 2*d - 2 Let n(r) = 4*r**3 - 7. Let i(v) be the third derivative of -v**6/120 + v**3/6 + 32*v**2. Calculate 14*i(w) + 2*n(w). -6*w**3 Let r(o) = -7*o**2 - 9*o + 1. Let a(w) be the first derivative of 4*w**3/3 + 5*w**2/2 - w - 25. Calculate 5*a(k) + 3*r(k). -k**2 - 2*k - 2 Suppose -12 = 5*n - n. Let t be 1*n*(-2)/2. Let l(x) = -6*x**2 + 4*x - 4. Let k(q) = -5*q**2 + 3*q - 3. Give t*l(a) - 4*k(a). 2*a**2 Let c(m) = 4*m**2. Suppose -3*k - 4*v = -44, 4*v = 2*v + 10. Let p(a) = a**2. What is k*p(d) - 3*c(d)? -4*d**2 Let a(c) = 4*c. Let x(d) = d - 1. Let b(r) = 2*r - 1. Let m(v) = -6*b(v) + 7*x(v). Let t(j) = j - 1. Let h be t(4). Give h*m(w) + 4*a(w). w - 3 Let d(t) = -6*t**2 + 5*t - 7. Let j(z) = z**2 - z + 1. Give d(o) + 5*j(o). -o**2 - 2 Let a(n) = -1. Let i(d) = 2*d**2 - 2*d + 10. What is -6*a(y) + i(y)? 2*y**2 - 2*y + 16 Let s(l) = -l. Let x(n) be the second derivative of n**3 - 13*n. Determine -s(r) - x(r). -5*r Let b be (-1)/2 + (-5)/(-2). Suppose -2*l = 6, 2*f + 6*l = b*l - 4. Let r(i) = 4*i - 4. Let m = 10 - 19. Let k(s) = 2*s - 2. What is f*r(w) + m*k(w)? -2*w + 2 Let l(o) = -8*o - 7. Let p(a) = -4*a - 3. Give 6*l(i) - 13*p(i). 4*i - 3 Let u(y) be the second derivative of -y**4/12 + y**3 - 3*y. Let h(a) = -a. What is 6*h(k) + u(k)? -k**2 Suppose -q + 2*q + 2 = 0. Let p(y) be the third derivative of -y**5/60 + y**4/24 - y**3/6 + 5*y**2. Let m(i) = i**2 - 2*i + 2. Determine q*p(z) - m(z). z**2 Let k(t) = t**3 + 1. Suppose -3*u + 0*v - 4*v - 19 = 0, 5*u + 4*v = -21. Let g(f) = -f**3 + 2*f**2 + 2*f + 1. Give u*g(b) + k(b). 2*b**3 - 2*b**2 - 2*b Let a(u) = -2*u**2 + 5*u - 6. Let t(i) = 2*i**2 - 6*i + 7. Give 5*a(v) + 4*t(v). -2*v**2 + v - 2 Let q(p) = -65*p**2. Let t(m) = 50*m**2 - 35. Let d(k) = 3*k**2 - 2. Let g(z) = -35*d(z) + 2*t(z). Determine 40*g(r) - 3*q(r). -5*r**2 Let z(q) = -q - 2. Suppose -7*g + 3 = -4*g. Let i(y) = y + 1. Suppose 9*v = -0*v + 27. Give g*z(l) + v*i(l). 2*l + 1 Let q(z) = z**2 + z. Let k(o) = -5*o**2 - 5*o. Let h = 5 - 2. Let d = 4 - h. Determine d*k(y) + 6*q(y). y**2 + y Let g(m) = -2*m**2 + 8*m - 4. Let c(k) = 2*k**2 - 9*k + 5. What is -6*c(v) - 7*g(v)? 2*v**2 - 2*v - 2 Let g(w) = -w**3 - w**2 + w + 1. Let z(f) = -19*f**3 + 3*f**2 - 3*f - 3. Determine -3*g(n) - z(n). 22*n**3 Let y(j) = j + 3. Let g be 2*4/8 + (4 - 8). Let a(u) = -u + 1. What is g*a(d) + y(d)? 4*d Let m(p) = p**2 + 5*p + 6. Let c be m(-4). Let z(a) = a + 1. Let b(q) = -2*q. What is c*z(l) + 2*b(l)? -2*l + 2 Let q(z) = -17*z**3 - 2*z**2 - 3*z + 2. Let p(o) = 17*o**3 + 3*o**2 + 4*o - 3. Calculate 2*p(h) + 3*q(h). -17*h**3 - h Let x(v) = v**3 + 2*v**2 - 2*v. Let p(m) = -m**3 - m**2. What is -4*p(j) - x(j)? 3*j**3 + 2*j**2 + 2*j Let m(y) = -2*y**2 - 4*y - 3. Let k(g) = 4*g**2 + 9*g + 5. Give 3*k(w) + 7*m(w). -2*w**2 - w - 6 Let m(g) be the second derivative of 11/6*g**3 + 11/12*g**4 + 1/2*g**5 + 3*g + 11/2*g**2 + 0. Let w(c) = c**3 + c**2 + c + 1. Give -2*m(i) + 22*w(i). 2*i**3 Let p(s) = 25*s**3 + 3*s - 3. Let c(t) = 26*t**3 + 4*t - 4. What is 3*c(o) - 4*p(o)? -22*o**3 Let i(p) = -21*p**2
{ "pile_set_name": "DM Mathematics" }
he second biggest value in 8.8, x, -1/3? x Let o = 0.8206 + 0.1794. What is the biggest value in -2, -8, o? o Let b = 4 - 0. Let p = 781 + -867.4. Let j = -86 - p. What is the second smallest value in j, 3, b, -1? j Suppose -3*k - 159 = -171. Which is the third smallest value? (a) -7.59 (b) k (c) 0.4 b Let g = -19 - 390. Let k = -404 - g. Let z be 2/14 - 6/21. Which is the third smallest value? (a) 3/7 (b) k (c) z b Let m = 8.77 - 6.07. Let s = 1.3 + m. Let i = -2/1441 - -2916/24497. What is the fourth biggest value in 1/8, 1, s, i? i Let r = -25 - -18.25. Let q = r + 1.75. What is the biggest value in q, 40, -1/7? 40 Let c = 8 - 1. Let o = -3 + c. Let w = 9961 - 9958. What is the second smallest value in 0.5, w, o, 4/3? 4/3 Let p = -0.0145 - -6.0145. Let t be ((-2)/(-3))/(52/12 - 2). Which is the third biggest value? (a) -2 (b) t (c) p (d) -1/4 d Suppose 0 = -t - 121 + 35. Let v be 1/t*(-4 + 2 + -2). Let f = -2683/15 + 179. What is the biggest value in f, v, -1? f Let i = 5 - 8. Let s = 1745/67 - 3691/134. Which is the third smallest value? (a) -4 (b) i (c) s c Let t = 10195 + -10178. Which is the biggest value? (a) t (b) -5 (c) -75 a Let g = 3770.8 + -3765.8. Which is the second biggest value? (a) -5/4 (b) -7/10 (c) g b Let p be -4 + 104/28 - (-88)/14. Let j be 1 - p - (-36 + 41). Which is the fourth biggest value? (a) -2/3 (b) j (c) 0.3 (d) 8 b Let k be ((-42)/189)/(-1) - (-52)/90. What is the third biggest value in k, 0.5, 209? 0.5 Let a = 72.4 - 38. Let j = a + -33.4. What is the fourth smallest value in j, -17, -4, 0.3? j Let r be (-6 - 22/(-3))*((-12)/(-8) - 3). What is the biggest value in -0.4, 2, r, -1/8? 2 Let t = -6.5603 + 0.0703. Let j = t - 25.61. Let y = -32 - j. What is the second biggest value in 0, 0.3, y, 8? 0.3 Let h be 2/(-5) - ((-18)/(-2) - (-108)/(-18)). What is the fifth smallest value in -2, 0, 5, h, -3? 5 Let x be ((-704)/1320)/((-2)/(-5)). Which is the third smallest value? (a) 3/7 (b) -2/5 (c) x (d) -246 b Let h = -681 + 681.3. Suppose -5 = -11*n + 12*n. Which is the third smallest value? (a) n (b) -6 (c) h c Let l = -4000 - -3999. What is the biggest value in 4, l, -4, -198? 4 Let u = -59.139 + 42.15. Let m = 0.011 - u. Let r = m - 22. What is the second smallest value in 3, -2/21, r, -2? -2 Let l = 18.8 + -19. Suppose -3*f = 2*f + 5*f. Which is the third biggest value? (a) f (b) l (c) -0.03 b Let s = 534/5 + -107. Let g = -1249.7 - -1250. Which is the second biggest value? (a) g (b) 81 (c) s a Let y = -0.4104 - -0.0194. Let z = y - -0.191. What is the fourth smallest value in 5, z, -15, 2/7? 5 Let p = -1696 + 1735.08. Let y = p + -39. Which is the second smallest value? (a) 6 (b) 3 (c) y b Suppose -62*i + 65*i = -5*y - 351, 5*i - y = -585. What is the third biggest value in -8, 1/2, i? i Suppose 9 = -19779*l + 19769*l - 1. Let j be (2/10)/(-2 - -1). What is the third biggest value in l, j, 6, -0.5? -0.5 Let h(f) = 3*f**2 + 263*f + 265. Let t be h(-1). Which is the second biggest value? (a) t (b) -0.3 (c) -6 (d) -2 b Suppose 0 = -2*b + g - 3*g - 8, 0 = -5*g - 25. Let q be (-1)/3*b/(-1)*9. Let i = -5.1 + 2.1. What is the smallest value in q, 2/9, i? i Let l = 2/8577 - -317/2859. Let g = -2558 - -74189/29. Let r = 121/261 - g. What is the second smallest value in l, r, -3/4? l Let q be 2 - ((-2)/8)/(5/20). Suppose 0 = 416*b - 408*b + 16. What is the second smallest value in b, 4, q, 0.02? 0.02 Let i = 58 - 61. Let l be -6*4/8 - i. Suppose l*y = 4*y - 4. Which is the smallest value? (a) 2 (b) 5/4 (c) -1 (d) y c Let i = 3.8 - 4. Suppose -60 = -1942*f + 3874*f - 1944*f. What is the smallest value in f, -1, 2, i? -1 Let i = -778/1995 - 4/399. Which is the second biggest value? (a) 5 (b) i (c) 2.4 c Let f = 1 + -0.95. Let t = f + -0.014. Let v be (3/(-12))/(2/(-8) + 66/176). What is the smallest value in v, -0.3, t? v Let o = -323 + 471. Let r = 147 - o. Let f = 0 + -0.2. What is the third biggest value in 2, r, f, -2/7? -2/7 Let x(k) = -k**3 - 4*k**2 + 6*k + 2. Let u be x(-5). Let t = -41/9 + 232/45. Which is the smallest value? (a) 1/9 (b) t (c) u (d) 4 c Let w = -592.6 - -593. Which is the fifth biggest value? (a) -5 (b) -0.3 (c) w (d) 17 (e) -2 a Let z = 25/93 - -2/31. Let y = 0.42 - 0.62. Let j be (28/(-15) - 1) + 60/20. What is the biggest value in z, -0.5, j, y? z Let o = -32 - -32. Suppose 4*h + 750 = -11*h. What is the second biggest value in h, o, 3? o Let u be 4/6*(-115)/46. Let i = -0.061 + 9.061. Which is the smallest value? (a) 1/2 (b) i (c) -2/3 (d) u d Let u = -6 - -10. Let p = 29.506 + -29.806. What is the second biggest value in 5, p, u, 2/5? u Let u = -43.6 - -38. Let z = u - -5.6. Let w(x) = 4*x + 2. Let p be w(-1). What is the third biggest value in p, z, 2/15? p Let i = 280 + -83. Let s = -194 + i. Let u(j) = j**2 - 2*j - 2. Let r be u(0). Which is the biggest value? (a) 1 (b) r (c) s c Let p = -28429.5 + 28429. Let u = -1 - -1. Which is the third smallest value? (a) -2 (b) 2/5 (c) p (d) u d Let f = 10.44 + -10.37. Which is the second smallest value? (a) 0.4 (b) -1 (c) 0 (d) 0.55 (e) f c Let t = 0.05455 + 0.14545. What is the fourth smallest value in t, -1/3, -5, 17? 17 Let g = 27.0282 + -0.0282. Which is the biggest value? (a) g (b) 0.5 (c) -0.3 (d) -1 a Let j = 2379.822 - 2380.222. Let a = 1 + 6. Suppose 3*h = a*h. What is the fourth biggest value in 1/6, 0.2, h, j? j Let r be (9/12 - (-3)/(-9))*(-30)/100. What is the fifth biggest value in -2/29, 3/14, 2, r, -2? -2 Let r(p) = p - 3. Let b be r(1). Let y be 1/6*b - (-186)/3960. Let a = 2/55 + y. What is the second biggest value in 1, a, 2/9? 2/9 Let j = -1919/35 + 388/7. Let o = 1.3 - -1.7. What is the third biggest value in o, 2, j? j Let r = -931.1 - -889. Let w = r - -42. Which is the second biggest value? (a) w (b) -0.3 (c) -2/79 a Let f(j) = -30*j + 145. Let l be f(5). Let d = 7 - 5. Let r = d + -5. What is the third biggest value in r, l, 2/17? l Suppose 5*v - 3*c = 199, 2 + 0 = c. Let n = v - 50. Let q be (-3 + 9)*(-1)/n. What is the second smallest value in q, -0.1, 0? 0 Let x = -207.75 - -198.75. Which is the third biggest value? (a) -0.7 (b) -3 (c) x (d) 2 (e) 1/4 a Let j = -7987 + 7987.5. Which is the smallest value? (a) -5 (b) 416 (c) j (d) 2/21 a Let x = 0.6 + -0.2. Let m = -14144/11 - -1286. Which is the second biggest value? (a) 44 (b) m (c) x (d) 1/2 d Let i = 1722.6 + -953. Let w = -771 + i. Let h = 0 + 3. Which is the second biggest value? (a) -0.2 (b) 3/7 (c) h (d) w b Let u = 893/194 + 87/97. Which is the smallest value? (a) u (b) 0.2 (c) -4 c Let f = 0 - -0.1. Let h be -2*((-15)/8 + (-3)/24). Let x = -75/7 - -403/35. Which is the second smallest value? (a) f (b) x (c) -4 (d) h a Let t be 8736/(-630) + 2*7. What is the fourth biggest value in 2/11, 3/4, 0, t? 0 Let y = -9731/9 + 1081. What is the third smallest value in y, 0.2, -52/9, -5? y Let t = -0.1 - -0.1. Let d = -7003.7 + 7006.7. Which is the smallest value? (a) 2/105 (b) t (c) d b Let k = -63 + 13. Let g be 8/k*(-75)/30. Which is the second smallest value? (a) 7/4 (b) g (c) -4/7 b Let s = 4.93459 - -0.06541. Which is the fourth biggest value? (a) 15 (b) 4 (c) s (d) -1 (e) -0.18 e Let p = 2 - 2. Let m = 0.3 - p. Let b = 2202/25 - 19793/225. What is the smallest value in -1, -0.5, m, b? -1 Let j = -2.53 + 1.94. Let v = j + -3.41. Which is the second biggest value? (a) 0.2 (b) -2/3 (c) 17 (d) v a Let r be (-17)/(-34) - 12/8. Let p be (-448)/(-12) + r + (-18)/(-27). What is the biggest value in p, -3/7, -1? p Let y = 2331 + -2336. Let g = 25/66 + -6/11. What is the third biggest value in g, -1/7, -2/7, y? -2/7 Let p = -114 - -117. Let m = 0.04 + -0.13. Let h = m - -0.49. Which is the second biggest value? (a) 9/5 (b) h (c) p a Let s = 10.32 - -45.78. Let f = -57.1 + s. Which is the third biggest value? (a) f (b) -2/5 (c) -7 c Let q(w) = -w**3 - 3*w**2 + 8*w + 14. Suppose -5*h = -4*l - 41, -2*l + 2*h = 2*l + 26. Let n be q(l). What is the third smallest value in 2/7, n, -1/12, 3? 2/7 Let s be -2*((-22)/8 + (-3)/(-12)). Suppose 0*d = 4*d - 148. Let t = d + -35. Which is the third smallest value? (a) -4 (b) t (c) s c Let y = 2.263 + -2.763. What
{ "pile_set_name": "DM Mathematics" }
the second derivative of o(f) wrt f. -54*f - 18 Let w(i) be the third derivative of -191*i**5/60 + 187*i**4/12 + 460*i**2. What is the second derivative of w(r) wrt r? -382 What is the second derivative of 16*m**2 + 153*m + 212*m - 8*m**3 - 4*m**2 wrt m? -48*m + 24 What is the second derivative of 508 + 5*i**2 - 2*i**2 + 2*i - 1039 + 519 + 21*i**3 wrt i? 126*i + 6 Let j(s) be the first derivative of -s**10/560 + s**6/45 - 28*s**3/3 + 41. Let v(g) be the third derivative of j(g). What is the third derivative of v(k) wrt k? -1080*k**3 Let z be ((-1 - 0) + 4)*4/6. Find the third derivative of -z*j**2 - 84*j**4 + 37*j**4 + 4*j**2 - 3 wrt j. -1128*j Let m(u) = 5*u**2 + 5*u - 10. Let i be m(3). Differentiate 53*f + i*f - 157*f - 33*f**3 + 52*f - 58 with respect to f. -99*f**2 - 2 Suppose -5*m + 5 = 3*g, 4*g = g - 3*m + 3. Find the third derivative of g*d**3 + 423*d**2 - 27*d**5 - 408*d**2 + 0*d**3 wrt d. -1620*d**2 Suppose 3*h = -2*a + 52, -5*h + 2*a - a + 104 = 0. Suppose 2*f - 7*f + h = 0. What is the third derivative of -30*j**4 + 28*j**f + j**3 + 5*j**2 - j**3 wrt j? -48*j Suppose 12 = 7*q - 16. What is the derivative of 11 - 2*h - h - 6*h**q + 3*h wrt h? -24*h**3 Let u(c) = 53*c**3 - 7*c**2 + 1135*c + 1433. Let h(s) = -15*s**3 + 2*s**2 - 378*s - 478. Let x(a) = 7*h(a) + 2*u(a). What is the first derivative of x(g) wrt g? 3*g**2 - 376 Let i(u) be the second derivative of 11*u**4/6 - 7*u**3/6 + 64*u**2 + 3*u - 74. What is the first derivative of i(f) wrt f? 44*f - 7 Let v(z) be the second derivative of -187*z**7/42 - 82*z**3/3 + z**2 - z + 126. What is the second derivative of v(s) wrt s? -3740*s**3 Let d(y) be the first derivative of 123*y - 240*y + 121*y + 4*y**3 + 34. What is the first derivative of d(r) wrt r? 24*r Let w = 1 - -4. What is the second derivative of -4*u + w*u - 10*u**2 - 7*u wrt u? -20 Suppose 3*t - 39 = -3*p - 2*p, 0 = 3*p + 2*t - 24. Find the first derivative of -1 - 13*y + p + 1 - 5 wrt y. -13 Let x(i) be the third derivative of -1/10*i**5 + 0 + 0*i**4 - 8*i**2 + i**3 + 0*i. What is the derivative of x(s) wrt s? -12*s Let z be -3 + 3 + (9 - 4). What is the third derivative of -b**2 + 21*b**2 - 6*b**z - 4*b**2 wrt b? -360*b**2 Suppose 0 = -0*b - 4*b + 12. Let y(t) be the first derivative of -5 - 1 + 8*t**2 - 2*t**2 + 3*t - b. Find the first derivative of y(c) wrt c. 12 Let o(a) = 284*a + 212. Let d(g) = 281*g + 212. Let f(r) = -5*d(r) + 4*o(r). What is the first derivative of f(z) wrt z? -269 Let c(v) be the third derivative of -61*v**7/210 + v**5/20 + v**4/6 + 74*v**2. Find the third derivative of c(w) wrt w. -1464*w Let m be (-156)/(-10) - 14/(-35). What is the second derivative of 15*v - 4*v**4 + m*v**4 + v**4 wrt v? 156*v**2 Let v(c) be the first derivative of 0*c + 19 + 0*c**6 + c**3 + 0*c**5 - 3/7*c**7 + 0*c**2 + 0*c**4. What is the third derivative of v(f) wrt f? -360*f**3 Let r(b) be the second derivative of 0*b**5 - 1/4*b**4 + 4*b + 0*b**3 - 1/14*b**7 + 0*b**6 + 0*b**2 + 0. Find the third derivative of r(h) wrt h. -180*h**2 Differentiate -83*s - 141 - 193*s + 123*s - 264*s - 35*s wrt s. -452 Suppose 0 = 4*x - 5*f - 32 - 59, 4*x - 99 = -3*f. What is the second derivative of 42*w**4 - x*w**4 - 31*w - 22*w**4 wrt w? -48*w**2 Suppose -4*d = 9 - 17. What is the third derivative of c**2 - 15*c**4 + d*c**4 - 18*c**2 wrt c? -312*c Let n(f) = -2*f**4 - f. Let b(r) = -137*r**4 + 57*r**2 - 6*r. Let k(q) = -b(q) + 6*n(q). Find the third derivative of k(h) wrt h. 3000*h Let m(k) be the first derivative of -16*k**6/3 + k**3/3 + 9*k + 165. Find the third derivative of m(j) wrt j. -1920*j**2 Let l(q) be the first derivative of 0*q**2 + 0*q**4 + 3*q**5 - 1 - 19/3*q**3 + 0*q. Find the third derivative of l(u) wrt u. 360*u Let z(m) = 20*m - 1. Let y(b) = 41*b - 1. Let v(h) = -6*y(h) + 13*z(h). Let g(d) = 15*d - 7. Let i(x) = -5*g(x) + 6*v(x). What is the derivative of i(w) wrt w? 9 Let p = -15/58 + 119/348. Let v(x) be the second derivative of -p*x**4 - 1/2*x**3 + 0 + x + 0*x**2. Find the second derivative of v(z) wrt z. -2 What is the second derivative of -76*x + 114*x**4 - 114*x**5 + 116*x**5 + 12*x wrt x? 40*x**3 + 1368*x**2 Let w(j) = -j**3 - 5*j**2 - 6*j - 15. Let l be w(-7). Find the second derivative of y + 13*y**2 + l - 125 wrt y. 26 Let d(f) be the first derivative of f**6 - f**5 + 52*f**3/3 + 42. What is the third derivative of d(o) wrt o? 360*o**2 - 120*o What is the third derivative of -335*x**2 - 14*x + 60*x - 302*x**4 - 46*x wrt x? -7248*x Let u(h) = 1323*h**3 + 10*h**2 + 11*h. Let r(x) = 441*x**3 + 3*x**2 + 4*x. Let n(y) = 11*r(y) - 4*u(y). What is the third derivative of n(v) wrt v? -2646 Let z(i) = i - 44 - 53 + 2*i**2 + 98. Let t be z(-2). Differentiate -12 - 6*o - t*o**4 + 6*o wrt o. -28*o**3 Let k = 371 + -366. Let h(w) be the second derivative of 0 - 7/20*w**k + 0*w**3 + w + 7/12*w**4 + 0*w**2. Find the third derivative of h(d) wrt d. -42 What is the second derivative of -90*b + 34*b - b**5 + 22*b**4 - 65*b + 2 wrt b? -20*b**3 + 264*b**2 Suppose 17*o - 24 = 13*o. What is the first derivative of -4*d**3 + 14 + o*d**4 + 2*d**3 + 2*d**3 wrt d? 24*d**3 What is the second derivative of 23*r**2 + 5*r**5 - 10*r**5 + 142*r + r**5 wrt r? -80*r**3 + 46 Let c(s) be the second derivative of -37*s**7/21 - 35*s**4/4 - s - 11. Find the third derivative of c(q) wrt q. -4440*q**2 Let u(w) = w**2 + w + 2. Let o be u(-2). Let i be (o/(-3))/((-2)/3). Find the second derivative of -5*a**i - 2*a + 2*a**2 - 4*a wrt a. -6 Let u(v) = 48*v**3 - 32*v**2 - 30*v - 12. Let f(k) = 3*k + 1. Let w(p) = 10*f(p) + u(p). Find the third derivative of w(s) wrt s. 288 Suppose 951*m - 958*m = 0. Let k(r) be the third derivative of -2*r**2 + m*r**4 - 7/6*r**3 + 2/15*r**5 + 0 + 0*r. What is the derivative of k(y) wrt y? 16*y Let a(v) = -2*v**3 + v**2. Let i be (-2)/(-3 - -2 - -3). Let m be a(i). Find the third derivative of c**3 + 4*c**3 + c**3 - 3*c**m + c**2 wrt c. 18 What is the second derivative of -526 + 1011 + 2*p + 320*p**3 - 587 wrt p? 1920*p Let u(w) be the first derivative of -w**5/30 - w**3 - 12*w**2 - 9. Let h(r) be the second derivative of u(r). Find the first derivative of h(m) wrt m. -4*m Let d(g) be the second derivative of 5/2*g**3 + 18*g + 11/2*g**2 + 0. What is the first derivative of d(s) wrt s? 15 Let a = -22 + 25. What is the second derivative of 70*u**a - 2*u - 60*u**3 + 0*u wrt u? 60*u Let q(m) = 113*m**3 + 68*m**2 + 4. Let l(r) = -340*r**3 - 205*r**2 - 14. Let t(o) = -2*l(o) - 7*q(o). What is the third derivative of t(s) wrt s? -666 Let a(d) be the first derivative of 25/3*d**3 + 26 - 13/2*d**4 + 0*d**2 + 0*d. Find the third derivative of a(j) wrt j. -156 Let h(r) be the third derivative of 503*r**9/504 - r**6/120 + 91*r**5/60 - r**3/3 - r**2 + 8*r. Find the third derivative of h(v) wrt v. 60360*v**3 - 6 Let f(a) = -2*a + 46. Let q be f(5). What is the third derivative of q*x**5 + 2*x**4 - 6*x**2 - 2*x**4 + 13*x**2 wrt x? 2160*x**2 Let f(x) = -x - 13. Let r be f(-15). Suppose -2*i + 6 = 4*o, i - 6 = -5*o + r*o. Differentiate -1 - 4*a**2 - 5*a**2 + 4*a**2 + o*a**2 wrt a. -4*a What is the second derivative of -28*h + 4*h - 62*h**2 - h - 11*h wrt h? -124 What is the derivative of -447 + 0*b**3 - 2*b**3 + 2*b**3 - 121*b**4 + b**3 wrt b? -484*b**3 + 3*b**2 Let m(b) be the third derivative of 337*b**6/120 - 7*b**5/10 - b**2 - 16. Find the third derivative of m(h) wrt h. 2022 Let i = 23 + -12. Let g = -9 + i. What is the first derivative of 1 + 11 + 5*p**g - 14 wrt p? 10*p What is the first derivative of -2*w - 2*w + 139*w**2 + 5*w - 160 + 46*w**2 + w wrt w? 370*w + 2 Suppose 0 = -5*c - b + 74, c - 11 = -3*b + 1. Let v be 57/c - 1/(-5). Find the second derivative of -4*f**2 - f**v - 3*f + 4*f**2 - 2*f wrt f. -12*f**2 Suppose -4*u = -2*y - 10, 3*u + 7*y = 4*y - 15. What is the third derivative of -12*c**2 + u*c**6 + 25*c**6 + 5*c**2 wrt c? 3000*c**3 Let r(y) = -y**3 - 12*y**2 - y - 10. Let h be r(-12). Suppose -s = -0*u + u - 6, h*u = 6. Find the third derivative of -2*j**2 - 4*j**s - j**3 - 2*j**2 wrt j. -30 Suppose -4*s + 105 = s. Let j = -21 + s. Find the second derivative of 4*g + 0*g + j*g**5 + 4*g - 6*g**5 wrt g. -120*g**3 Let o be (7 - 6)*5/1. What is the second derivative of 8*c + 6*c - 37*c**5 + 35*c**o wrt c? -40*c**3 Suppos
{ "pile_set_name": "DM Mathematics" }
-527. 3664/527 Divide 752974 by 5. 752974/5 What is 6505 divided by -1? -6505 16382 divided by -2 -8191 Calculate -145468 divided by 36367. -4 What is -775202 divided by 1171? -662 What is -41370 divided by -8274? 5 Calculate 1207092 divided by 6. 201182 -2618833 divided by 3 -2618833/3 What is 208192 divided by 8? 26024 Divide -994 by -998. 497/499 What is 1652 divided by -47? -1652/47 -36245 divided by 11 -3295 Calculate 676320 divided by 5. 135264 -1215376 divided by 296 -4106 Divide 2231 by -50. -2231/50 Calculate 403 divided by -604. -403/604 18872 divided by 2 9436 -141421 divided by 141421 -1 3246556 divided by -1 -3246556 Calculate 2 divided by 71237. 2/71237 What is -1545056 divided by 3644? -424 What is 2080564 divided by -520141? -4 549329 divided by -49939 -11 What is 247776 divided by 6? 41296 Divide -1200 by 241. -1200/241 Divide -222076 by -1. 222076 What is -4565 divided by 86? -4565/86 Divide -93667 by 7. -13381 -37177 divided by 181 -37177/181 Divide 40646 by 2. 20323 Divide 85216 by -3. -85216/3 Calculate 1342276 divided by -166. -8086 327208 divided by 9 327208/9 6666 divided by -244 -3333/122 What is 208204 divided by 4? 52051 What is -26922 divided by -14? 1923 3018792 divided by 6 503132 1225668 divided by 306417 4 What is -83817 divided by -27939? 3 Divide 706 by -109. -706/109 -116892 divided by 9 -12988 What is -587635 divided by 117527? -5 Divide -26 by 57. -26/57 -44926 divided by 7 -6418 Calculate 354297 divided by 1. 354297 -1 divided by -51896 1/51896 What is -11132 divided by 29? -11132/29 Divide -164008 by 82004. -2 0 divided by -572449 0 3 divided by -2753 -3/2753 Calculate 37872 divided by 72. 526 Calculate 3581540 divided by -1. -3581540 What is 179856 divided by 5? 179856/5 What is -4 divided by -578? 2/289 What is 55345 divided by 55345? 1 1197 divided by -425 -1197/425 Calculate 0 divided by -649211. 0 1 divided by -228010 -1/228010 Calculate -12681 divided by 12681. -1 Divide 64442 by -9206. -7 What is -924 divided by -28? 33 -1529943 divided by 3 -509981 What is -3344 divided by 8? -418 Calculate 426354 divided by 6. 71059 273070 divided by -14 -19505 Calculate 377987 divided by -431. -877 Divide 9141 by 25. 9141/25 341248 divided by 31 11008 Divide -811509 by 619. -1311 -339 divided by 804 -113/268 Calculate -551450 divided by 3. -551450/3 What is 43555 divided by 14? 43555/14 8505 divided by -1 -8505 Divide -328485 by 1795. -183 Calculate -466924 divided by 4. -116731 Calculate -396162 divided by 1693. -234 Divide 484568 by 509. 952 Divide -764155 by -5. 152831 Calculate -1020027 divided by 14783. -69 Calculate 7270 divided by -10. -727 What is 341 divided by -29? -341/29 What is 335 divided by 7? 335/7 Calculate -25728 divided by -268. 96 What is -329398 divided by 2? -164699 Divide 5482970 by -62. -88435 363906 divided by -207 -1758 Divide -19170 by 9585. -2 Divide -4524164 by 2. -2262082 -3638196 divided by -1773 2052 6630 divided by -1 -6630 What is 1437872 divided by -89867? -16 Divide 1 by -5224. -1/5224 What is 0 divided by 529396? 0 Calculate -78525 divided by -349. 225 What is 1402972 divided by 4? 350743 Divide 528768 by -486. -1088 What is -158 divided by -16323? 158/16323 Calculate -27510 divided by -42. 655 Calculate -408813 divided by -408813. 1 What is 0 divided by -28873? 0 Divide -6598 by 5. -6598/5 Calculate -6252 divided by 58. -3126/29 What is 5 divided by 17378? 5/17378 Divide -70175 by -1. 70175 Calculate -3 divided by 651490. -3/651490 Calculate 2 divided by -394713. -2/394713 353584 divided by 539 656 -50343 divided by -16 50343/16 Divide 10112925 by 5. 2022585 Calculate 7336500 divided by -3. -2445500 Divide -10502874 by -6. 1750479 What is 914436 divided by 27? 33868 Divide 1306186 by 186598. 7 Divide 278061 by 3. 92687 Divide 21942 by -2. -10971 Divide 118268 by 6. 59134/3 Divide -68724 by -4. 17181 Calculate -2937 divided by -116. 2937/116 -25 divided by 40325 -1/1613 -462200 divided by -115550 4 What is 96924 divided by 82? 1182 What is 1765 divided by -1205? -353/241 What is -903 divided by 31? -903/31 799 divided by 17 47 What is 1 divided by 700360? 1/700360 Calculate -554101 divided by 3. -554101/3 What is 366948 divided by 91737? 4 Calculate -9 divided by -40460. 9/40460 What is 31 divided by 1147? 1/37 Divide 4473 by -51. -1491/17 Divide 1 by -401109. -1/401109 31554 divided by 2 15777 Calculate -666520 divided by -2. 333260 Calculate 486967 divided by -2. -486967/2 What is 591 divided by 34? 591/34 What is -2 divided by -139073? 2/139073 Calculate -879410 divided by 1. -879410 What is 12282 divided by 49? 12282/49 Calculate -49744 divided by 6218. -8 What is 4973925 divided by 165? 30145 10 divided by -5784 -5/2892 Calculate 6772 divided by -1693. -4 Calculate -375428 divided by -68. 5521 Calculate -654216 divided by -327108. 2 Calculate 5 divided by 24753. 5/24753 What is 531987 divided by -177329? -3 114634 divided by 11 114634/11 Divide 2650 by 2650. 1 Calculate 43 divided by -930. -43/930 -5 divided by -399827 5/399827 What is -1335164 divided by -333791? 4 -3549416 divided by -68258 52 -232158 divided by -6 38693 -16147 divided by 170 -16147/170 What is 5975700 divided by -1? -5975700 Calculate 5204 divided by -9. -5204/9 Calculate 101952 divided by 32. 3186 What is -1232 divided by -8? 154 What is -10528 divided by 3? -10528/3 What is -10 divided by 129835? -2/25967 -34988 divided by 10 -17494/5 What is -12 divided by 32385? -4/10795 Divide -105831 by 9. -11759 Calculate 913098 divided by 2. 456549 Divide 249 by -797. -249/797 Calculate 28638 divided by -666. -43 Divide -753655 by -2135. 353 Calculate 176 divided by -20. -44/5 -390006 divided by -6 65001 -164283 divided by 54761 -3 What is -43 divided by 452? -43/452 Divide 1101217 by 667. 1651 Calculate 67581 divided by 7509. 9 What is -220 divided by -4650? 22/465 -4012 divided by 206 -2006/103 89784 divided by -172 -522 43230 divided by 55 786 86172 divided by 43086 2 Calculate 958565 divided by -191713. -5 What is 17595 divided by -3? -5865 What is 36307 divided by 2? 36307/2 What is -4630412 divided by 3? -4630412/3 What is -5 divided by 3515? -1/703 Divide 4597 by -1. -4597 5 divided by -60356 -5/60356 Divide 19502 by 48. 9751/24 What is 3261588 divided by -66? -49418 Calculate -5 divided by -102288. 5/102288 -1664 divided by 832 -2 96136 divided by -2 -48068 What is -420918 divided by -93? 4526 What is 92 divided by 488? 23/122 Calculate 81 divided by -1111. -81/1111 Calculate -688 divided by 454. -344/227 Calculate -98 divided by -1098. 49/549 Divide 45 by 2776. 45/2776 -447 divided by -10 447/10 What is -72849 divided by -3? 24283 Calculate 513504 divided by -2. -256752 -9994 divided by -19 526 What is 105 divided by -60? -7/4 -122947 divided by 8 -122947/8 What is -1 divided by 3644? -1/3644 Calculate -18951 divided by 4. -18951/4 183 divided by -73 -183/73 Calculate -3 divided by -10685. 3/10685 Divide -230280 by 606. -380 Divide 0 by -23199. 0 Calculate 392806 divided by 392806. 1 2111466 divided by -21 -100546 -463 divided by -243 463/243 7 divided by -16103 -7/16103 Divide -212436 by -7. 30348 -19 divided by 1218 -19/1218 Divide 101008 by 16. 6313 16 divided by -1437 -16/1437 Calculate -102048 divided by 96. -1063 Calculate 52890 divided by 6. 8815 Calculate -2805 divided by 224. -2805/224 Divide 3897072 by 2232. 1746 Divide -52 by -1194. 26/597 Calculate -1068710 divided by 213742. -5 What is -15372 divided by 84? -183 781 divided by -1166 -71/106 5600 divided by 32 175 Divide 265536 by -44256. -6 Divide 561744 by -1328. -423 114 divided by -96 -19/16 Divide 46780 by -46780. -1 Calculate -205905 divided by 35. -5883 Calculate 255304 divided by -47. -5432 -75632 divided by 37816 -2 What is 643025 divided by -37825? -17 58108 divided by -292 -199 1689864 divided by 148 11418 -89617 divided by 3 -89617/3 What is -352534 divided by 3874? -91 Divide -2 by -41731. 2/41731 Calculate 23 divided by -71. -23/71 What is -82560 divided by 6? -13760 Calculate 1 divided by 53730. 1/53730 Divide 2 by 135120. 1/67560 Calculate 54312 divided by -124. -438 Calculate -6580 divided by -4. 1645 What is 46179 divided by -7? -6597 7 divided by 14145 7/14145 Divide -1388749 by -5. 1388749/5 Divide 1440 by 480. 3
{ "pile_set_name": "DM Mathematics" }
*o = 3*g - 20, 1 + 3 = 3*g - 2*o. Let b(l) = -l**3 + 6*l**2 - 6*l. What is the units digit of b(g)? 8 Let f = 10 - -23. What is the tens digit of f? 3 Suppose v - p = -1, 2*v - 3*p + 8*p = 19. Suppose -5*h + 53 + v = 0. What is the tens digit of h? 1 Suppose -w + 27 + 53 = 0. What is the tens digit of w? 8 Let o = 4 + -4. Suppose o = -5*z - 2*q + 72, 30 = 3*z + 2*q - 14. What is the units digit of z? 4 Let m(r) = -21*r - 11. What is the tens digit of m(-4)? 7 Let u(b) = 2*b**2 + 3*b + 2. Let n be u(-3). Suppose h = n - 6. Suppose h*i - 47 + 12 = 0. What is the units digit of i? 7 Let g(t) be the first derivative of t**7/840 + t**5/120 - t**4/24 - 2*t**3/3 + 2. Let q(z) be the third derivative of g(z). What is the units digit of q(1)? 1 Suppose 6 = m - 1. Let a be ((-2)/2 - 0)*2. Let g = m + a. What is the units digit of g? 5 Suppose 131 - 699 = -8*u. What is the tens digit of u? 7 Suppose d + 4*n = -13, 0*d + n = 4*d - 16. Suppose -d*h - 2*h - 4*w + 25 = 0, 0 = -3*w. Suppose 3 = h*l - 2. What is the units digit of l? 1 Let k = 22 - 12. Suppose 5*v = k, -14 = -0*y - 4*y - 3*v. Suppose -y = -4*c + 62. What is the tens digit of c? 1 Let o(y) = -2 + 0 + 2 + 9*y**2 - 1. Let n be o(1). What is the tens digit of 75/10*n/6? 1 Suppose 0 = 5*w + f - 6*f - 25, 5*f + 22 = 4*w. Suppose -2*h = 3 + w, -h = -4*o - 49. Let v = 30 + o. What is the tens digit of v? 1 Let k = 3 - 1. Suppose 3*z = -k*u + 1, 4*u - 2*z + 5*z - 5 = 0. Suppose 2*m - 4*i - 8 = 0, 0*m - 3*i = u*m - 36. What is the units digit of m? 2 Suppose -p - 5*y + 32 = -3*y, -5*p + 4*y = -216. What is the tens digit of p? 4 Suppose -41 + 9 = -2*z. Let a = z + -1. What is the tens digit of a? 1 Suppose 0 + 3 = -3*b. Let h be (3 - 4)/(b/(-16)). Let x = 0 - h. What is the tens digit of x? 1 Let u = -39 - -64. Suppose 13 = 3*z - d - 2, -4*z + 3*d = -u. What is the units digit of (20/(-8))/((-2)/z)? 5 Let a(r) = r - 5. Let l be a(6). Let c = 0 - l. Let k = 12 - c. What is the tens digit of k? 1 Let v(a) = -a + 4. Let d be v(-3). What is the tens digit of -2*((-210)/4)/d? 1 Let w(j) = j**3 + 10*j**2 + 7*j - 13. Let c be w(-9). Suppose -46 = -3*m + 4*o, 120 = c*m + 4*o - 2*o. What is the units digit of m? 2 What is the units digit of (-58)/(-3) - 3/9? 9 Let a be 5/(-2)*(-8)/10. Let z be (-2)/8 + a/8. Suppose -h = -z*h - 5. What is the units digit of h? 5 Let p(v) = -8*v**3 + 2*v**2. Let w(n) = -8*n**3 + 3*n**2 - n - 1. Let b(r) = 3*p(r) - 2*w(r). What is the units digit of b(-1)? 8 Let k(a) = 34*a**3 - 2*a**2 + 1. What is the units digit of k(1)? 3 Suppose 2*t - 5 + 7 = 0. Let f(x) be the third derivative of 7*x**5/60 - 2*x**2. What is the units digit of f(t)? 7 Suppose -2*c - 5*n = 2*c, -3*c = 3*n - 3. Let t = -16 - -22. Let y = t - c. What is the units digit of y? 1 Let d be 73/5 - 6/(-15). Suppose 2*s - d - 21 = 0. What is the tens digit of s? 1 Let h = -4 + 6. Suppose 0*z - w + 16 = 4*z, 3*w + 22 = h*z. Suppose -3*c + m - 4*m + 24 = 0, 0 = -z*c + 3*m + 16. What is the units digit of c? 5 Let g(y) be the second derivative of 10*y**3/3 + y**2/2 + y. Let n be g(-1). Let v = 28 + n. What is the units digit of v? 9 Let g be 0/(-2) + 20 + 1. Let d = 14 - g. Let p(n) = -n - 4. What is the units digit of p(d)? 3 Let w = 37 - 16. Suppose -3*q + w = -3*c, 4*c = -0*c. What is the units digit of q? 7 Suppose 0 = -o + 2*g + 6, -30 = -6*o + o - g. What is the units digit of o? 6 Let s(u) = -u + 9. Let z be s(7). Suppose 4*p = -3*a + 33, z*p = -3*p + 15. What is the units digit of a? 7 Let s = 42 - 19. Let b = 35 - s. What is the units digit of b? 2 Let l(i) = 4*i - 4. Let p be l(3). Suppose 51 = 2*y + t, y = t + 22 + p. What is the units digit of y? 7 Let o = -42 + 59. Let v = 4 - 2. Suppose g + 0*g - o = v*x, 5*g = -5*x + 10. What is the units digit of g? 7 Let w = -9 - -12. Let j = 2 + w. What is the units digit of j? 5 Suppose p + 4 = 0, 2*p = 2*t + 4*p - 46. Suppose t = -3*h + 81. What is the tens digit of h? 1 Suppose 15*x - 20*x + 10 = 0. Suppose -f + x*f = 12. What is the tens digit of f? 1 Suppose 0 = -0*i + 5*i - 280. What is the tens digit of i? 5 Let v(c) = 2*c - 6. Let t be v(5). What is the units digit of 6/t - (-76)/8? 1 What is the tens digit of 122 - 12 - (-1 + -2)? 1 What is the units digit of (-2)/(-18)*-2 + (-11744)/(-36)? 6 Suppose -k = 2*k - 24. What is the tens digit of (-81)/(-4) + (-2)/k? 2 Let s be 1/((-14)/(-5) + -3). What is the units digit of 41 - -1 - s/5? 3 Let a = -177 + 193. What is the units digit of a? 6 Let a be 1/6 + 111/(-18). Let b(t) = -5*t. Let o be b(a). What is the units digit of 12/o - 8/(-5)? 2 Let z = 54 + 23. What is the tens digit of z? 7 Let h(a) = 28*a - 37. What is the hundreds digit of h(9)? 2 What is the tens digit of 0 + (-356)/(-10) + (-24)/(-60)? 3 Suppose 5*k - 74 = 1071. What is the hundreds digit of k? 2 Suppose -2*r + 47 = -c, 15 = 3*c + 2*c. Suppose 0 = 5*l - 3*a - r, 6*a + 25 = a. What is the units digit of l? 2 Let o(c) = -c + 2. Let y be 16/(-9) - 6/27. Let i be o(y). Suppose 0 = 2*x + v - 7, x - i*x + 5*v = -17. What is the units digit of x? 4 Suppose 2*z - z + 15 = 4*w, 0 = -4*w - 3*z + 19. What is the units digit of w/14 - (-610)/70? 9 What is the units digit of (-17)/2*-8 - (-2 - -3)? 7 Suppose 70 = 8*x - 3*x. What is the tens digit of x? 1 Suppose 111 + 17 = 4*n. What is the tens digit of n? 3 Let y(k) = 3*k**3 - 7*k**2 + 2*k + 8. Let x(m) = 8*m**3 - 21*m**2 + 5*m + 24. Let r(f) = 4*x(f) - 11*y(f). What is the tens digit of r(-7)? 2 Let l(x) = 8*x + 1. Let d be l(3). Suppose -4*t + 3*s = -37, 0*s + s = -4*t + d. What is the units digit of t? 7 Let o be (6/(-1))/(-1) + -2. Suppose o*r = -r - 75. Let f = -6 - r. What is the units digit of f? 9 Let d = 18 + -7. What is the units digit of d? 1 Let z be 1*-2 + 6 - 2. Let v = -4 + 6. Suppose g = -v*t + 8, -t - 2*g - z*g = -18. What is the units digit of t? 2 Let d(u) = u**2 + 12*u - 32. What is the tens digit of d(-17)? 5 Let t = -288 - -522. Suppose -4*y - y = -3*f - t, y - 4*f - 40 = 0. Suppose y = 2*h + 2*h. What is the tens digit of h? 1 Let l(n) = -3*n**3 + n + 1. Let h be l(-1). Suppose -7 + h = -t - 2*x, -4*x = -4. Let y(o) = o**3 + o**2 - 2*o. What is the units digit of y(t)? 8 Let c(s) = -s**2 + 12*s + 1. Let j be c(7). Suppose -6 + j = 5*d. What is the units digit of d? 6 Suppose 144 = m + 5*m. Suppose 2*u - 4*k = 20, 0 = -3*u - 0*u + 3*k + 21. Suppose -n - m = -u*n. What is the units digit of n? 8 Suppose g - 2*c = -0*c + 9, 0 = 3*g + 5*c + 6. Suppose -10 = -d - 5*n, 2*d + 25 = g*n + 2*n. Let f = d - -14. What is the units digit of f? 9 Let m(x) = -2*x**3 + 2*x**2 - 2. Let r be m(2). Let b be (r - -5) + (0 - -1). What is the units digit of b/10 + (-54)/(-10)? 5 Let y = -122 - -229. What is the hundreds digit of y? 1 What is the tens digit of 3 + 161/1 + 0? 6 Suppose -3*d + 4*d - 32 = 4*b, -5*b = -3*d + 82. Suppose -d*w = -20*w - 168. What is the tens digit of w? 4 Suppose -3*y + 7*y = 512. What is the units digit of y? 8 Suppose -z + 4*g = -40, 3*z + g - 40 = -3*g. What is the units digit of z? 0 Let v(n) = n**3 - n**2 + 30. What is the tens digit of v(0)? 3 Let p(l) = -l**2 - 11*l. Let n be p(-9). Suppose y - n = -5*s + 3*s, -4*y + 5*s = -98. What is the units digit of y? 2 Suppose 3*v + 0*v - 27 = -3*i, 5*i + v - 45 = 0. Let l = i - 7. What is the units digit of l? 2 Suppose 8 = -x - 4*f, -5*x - 5*f + 2*f = -45. Suppose c = 5*g + x, 2*g = -c + g. Suppose n + 13 = c*n. What is the tens digit of n? 1 Let z be (-3)/(-2) + 5/2. Suppose 20 = 3*h - z. Suppose u + h = -3*u, -5*q + 5*u + 60 = 0. What is the units digit of q? 0 Let l = 40 + -26. What is the tens digit of l? 1 Let n = -4 - -6. Let j = n - -3. Suppose -3 = -j*v + 2. What is the units digit of v? 1 Suppose -k + 32 = -2*n - 15, -2*k - 4*n + 78 = 0. Suppose -2 = -5*d + k. Suppose d*u - 13 = 3*r + 4*u, 3*r - 4*u + 8 = 0. What is the units digit of r? 4 Let r(d) = d**2 + 6*d + 3. Let m be r(-6). Let q(c) = 2*c - 13. Let w be q(3). What is the units digit of (-6)/((m + w)/2)? 3 Let k be 16/(-10)*5/(-2). Suppose -k*z + 3 + 9 = 0. Suppose -3*h + t = -1 - 2, -4*t = 3*h - z. What is the units digit of h? 1 Suppose -s = -3*u + 304, -3*u + 5*s - 380 = -7*u. Suppose 0 = -p + o + 16 + 15, -4*p = 2*o - u. Let t = -19 + p. What is the units digit
{ "pile_set_name": "DM Mathematics" }
6*i**2 + 4*i**3 - 221 - 39*i**2 + 41 + 24*i = 0. -5, 6 Let d(k) be the second derivative of -k**4/6 - 55*k**3/3 + 135*k. Let d(u) = 0. What is u? -55, 0 Find p such that -14/3*p**2 + 10 - 16/3*p = 0. -15/7, 1 Let 0*f + 0 - 24/13*f**3 + 0*f**2 - 2/13*f**4 = 0. Calculate f. -12, 0 Let o(x) be the second derivative of -x**10/6048 + x**9/3024 + 13*x**4/6 - 6*x. Let f(t) be the third derivative of o(t). Factor f(u). -5*u**4*(u - 1) Suppose -4*c + 2*c = -18. Find d such that 10*d + d**3 + c*d**3 - 25*d**2 - d**3 + 6*d**3 = 0. 0, 2/3, 1 Let l(d) be the first derivative of -3*d**5/5 + 6*d**4 - 18*d**3 + 24*d**2 - 15*d - 33. Factor l(n). -3*(n - 5)*(n - 1)**3 Let r(c) = -4*c**4 - 40*c**3 + 3*c + 3. Let w(o) = -o**4 + o + 1. Let y(q) = 4*r(q) - 12*w(q). Let y(g) = 0. What is g? -40, 0 Let l(y) be the second derivative of 1/50*y**5 - 1/30*y**4 + 0*y**2 + 40*y + 0*y**3 + 0. Factor l(h). 2*h**2*(h - 1)/5 Suppose 5*n = -2*n + 14. Suppose 20*s**3 + 13*s**3 - 6*s**3 + 6*s**n = 0. What is s? -2/9, 0 Suppose -3*x + 11 = -2*m, -5*m + 9 = 4*x - 21. Let -8/3*k - 4/3 - 7/3*k**4 + 11/3*k**m + 13/3*k**3 - 5/3*k**5 = 0. What is k? -2, -1, -2/5, 1 Suppose 5 = -2*f + 4*i + 3, 0 = f + 4*i - 11. Suppose 77 + 195*j**2 + 10908 - 2535*j - 12*j**3 + 7*j**f = 0. What is j? 13 Let f(n) = -2*n**4 + n**3 - n**2 + n - 1. Let u(j) = j**5 + 20*j**4 + 30*j**3 - 109*j**2 + 61*j + 3. Let m(o) = -3*f(o) - u(o). Factor m(z). -z*(z - 1)**2*(z + 8)**2 Solve 0 + 5/2*b**2 + 1/2*b**3 + 2*b = 0 for b. -4, -1, 0 Let h be 0*(0 - 5)/5. Factor 5*j**3 + h*j**3 + 2*j**4 + 6*j**2 - 6*j + 4*j - 11*j**3. 2*j*(j - 1)**3 Suppose -5*q + 3*q - 164 = 3*s, 4*s + 2*q = -222. Let d = 61 + s. Factor 0*a**d + 0 - 1/6*a**2 + 1/6*a**4 + 0*a. a**2*(a - 1)*(a + 1)/6 Let m(w) be the first derivative of -5*w**3/3 + 20*w + 3. Determine d so that m(d) = 0. -2, 2 Let g(s) = -10*s**2 + 5*s + 5. Let p = -52 - -58. Let b(z) = 10*z**2 - 5*z - 5. Let u(y) = p*b(y) + 7*g(y). Find j, given that u(j) = 0. -1/2, 1 Let g be 15/(-25) + (-28)/(-5). Let y(i) be the third derivative of 1/6*i**3 - 1/30*i**g + 0*i**6 + 0*i + 0*i**4 + 1/210*i**7 + 4*i**2 + 0. Factor y(j). (j - 1)**2*(j + 1)**2 Let m = 1/97 + 95/194. Factor -m*z - 1/8*z**2 - 3/8. -(z + 1)*(z + 3)/8 Let r(b) be the first derivative of -3*b**5/35 + 6*b**4/7 + 3*b**3/7 - 195*b**2/7 + 600*b/7 - 186. Determine o, given that r(o) = 0. -4, 2, 5 Let m be (-213)/(-355) + 18/20. Let r(u) be the first derivative of m*u**4 + 0*u**3 + 3/5*u**5 - 3*u + 10 - 3*u**2. Factor r(j). 3*(j - 1)*(j + 1)**3 Let x be ((-15)/(-4) + -4)*2 - -1. Factor -1/2*a**2 - 1/2*a**5 + x*a**3 + 0*a + 0 + 1/2*a**4. -a**2*(a - 1)**2*(a + 1)/2 Let t be (-3)/(-36)*-2*272/(-68). Solve 11/3*y**3 + 4/3*y**5 + 0*y + 0 + 13/3*y**4 + t*y**2 = 0 for y. -2, -1, -1/4, 0 Let z be (-1 + 3)*(-2)/4. Let x be (z + -1)*(-5 + 3). Factor 9*j**4 - 4*j**3 + 16*j**3 - 3*j**4 + 10*j**x - 2*j + 6*j**5. 2*j*(j + 1)**3*(3*j - 1) Let w = -67 - -70. Let t(r) be the first derivative of -2/33*r**w - 2/11*r - 2/11*r**2 - 4. Determine l so that t(l) = 0. -1 Let y(c) be the second derivative of c**6/15 + c**5/5 - 2*c**3/3 - c**2 - 12*c. Factor y(p). 2*(p - 1)*(p + 1)**3 Let v(u) be the third derivative of -u**7/210 - 7*u**6/120 - 13*u**5/60 + u**4/8 + 3*u**3 - 215*u**2. Factor v(q). -(q - 1)*(q + 2)*(q + 3)**2 Let c(t) = t**2 - 6*t + 2. Let h be c(7). Let s = 12 - h. Factor 6 - 4*p**2 - 2*p - 7 + s*p**2 + 0*p**2. -(p + 1)**2 Let 16 - 1 - 6*h**3 - 16*h + 5*h**2 + 41*h + h**3 = 0. Calculate h. -1, 3 Let d(s) be the first derivative of -7*s**4/36 + 8*s**3/27 - s**2/18 - 29. Determine x so that d(x) = 0. 0, 1/7, 1 Let s(f) be the first derivative of 2*f**3 - 315*f**2/2 + 156*f - 350. Determine r, given that s(r) = 0. 1/2, 52 Suppose -3*z + 2*j - 6 = -4*z, -z + 2*j = 6. Let y(f) be the third derivative of -1/72*f**4 + 0*f + 0 - 5*f**2 + 1/180*f**5 + z*f**3. Find c such that y(c) = 0. 0, 1 Suppose 5*o + 3*o = 32. Suppose 3*i = 5*q - o, 10 = 3*i - 0*q + 2*q. Determine f so that 0 - 2/3*f + 2/3*f**i = 0. 0, 1 Let k be -6 + (5 - 1) + 40 + 0. Let n = -35 + k. Factor -4/3*z**2 + 14/3*z - 14/3*z**n + 4/3. -2*(z - 1)*(z + 1)*(7*z + 2)/3 Let p(h) be the first derivative of 10*h**3/3 + h**2 + 3*h - 12. Let n(u) = 20*u**2 + 5*u + 5. Let z(c) = -3*n(c) + 5*p(c). Solve z(s) = 0 for s. -1/2, 0 Let r(l) = l**2 + 12*l - 19. Let x be r(-14). Suppose 10 - 4 - x*t - 4 + 11*t**2 - 4 = 0. Calculate t. -2/11, 1 Let q(o) = -3*o**3 + 3*o**2 - 2*o. Let m(i) = 10*i**3 - 7*i**2 + 4*i. Let u(p) = 4*m(p) + 14*q(p). Factor u(f). -2*f*(f - 6)*(f - 1) Let h = -12 - -15. Factor 2*a**h - a**3 - a - 2*a - 2 + 0*a. (a - 2)*(a + 1)**2 Let f(b) = -3*b**2 + 8*b - 7. Let h = -2 - -6. Let g(j) be the first derivative of j**3 - 4*j**2 + 8*j - 176. Let p(y) = h*f(y) + 3*g(y). Factor p(u). -(u - 2)*(3*u - 2) Let w(t) be the second derivative of 2*t**7/21 + 34*t**6/15 + 69*t**5/5 + 115*t**4/3 + 172*t**3/3 + 48*t**2 + 145*t. Factor w(b). 4*(b + 1)**3*(b + 2)*(b + 12) Let j(q) be the first derivative of -q**2 + 12*q + 6. Let y be j(5). Determine z, given that 0*z**3 + y*z**2 - 4*z**2 + 2 + 2*z**3 - 2*z = 0. -1, 1 Suppose 3 = 3*u - 3*f - 18, -5 = -5*u - f. Let r(m) be the first derivative of 2/5*m + 2/15*m**3 + 2/5*m**2 - u. Factor r(s). 2*(s + 1)**2/5 Let q be (2/(-4))/(1/(-6)). Factor -6*r + 2*r**2 - 8 + 0*r - 6*r + 4*r + 2*r**q. 2*(r - 2)*(r + 1)*(r + 2) Let l(p) be the first derivative of -2/3*p**3 - 5 + 1/6*p**4 + 14*p + p**2. Let a(s) be the first derivative of l(s). Factor a(r). 2*(r - 1)**2 Let c(g) be the second derivative of g**3/6 - g**2/2 + g. Let o be c(3). Determine a, given that -13*a**3 + 16*a**3 - 4*a**2 + a**o = 0. 0, 1 Let x = 69 - -383. Let k = x + -3158/7. Factor 4/7 + k*m**2 + 10/7*m. 2*(m + 1)*(3*m + 2)/7 Let p(z) = -z**2 + 9*z - 18. Let h be p(4). Find k such that -5*k**3 - 57*k**2 + 65*k**h - 4*k + k**3 = 0. 0, 1 Let b be (-16)/(-136)*1 + (-6)/(-272)*6. Factor 1/4*k - 1/4*k**3 - b*k**2 + 1/4. -(k - 1)*(k + 1)**2/4 Factor -17 + 21 + 4*f - f**2 + 6*f - 3*f - 4*f. -(f - 4)*(f + 1) Suppose 815 = -13*x - 4. Let k = x + 67. Factor -4/5 + 4/5*o - 4/5*o**3 + 1/5*o**k + 3/5*o**2. (o - 2)**2*(o - 1)*(o + 1)/5 Let 0 + 9/2*k**5 - 15*k**4 - 81/2*k - 36*k**3 + 135*k**2 = 0. Calculate k. -3, 0, 1/3, 3 Let c(b) be the second derivative of -1/84*b**7 + 0*b**4 + 0*b**5 + 0 + 1/60*b**6 + 13*b + 0*b**3 + 0*b**2. Find f, given that c(f) = 0. 0, 1 Suppose -142 = -6*p - 40. What is r in 6*r + 27*r**3 - 9*r**5 - 24*r**2 + 15*r + 2*r**4 - p*r = 0? -2, 0, 2/9, 1 Let n(v) be the third derivative of -v**8/3360 + v**7/840 - v**6/720 - 15*v**3/2 + 31*v**2. Let o(r) be the first derivative of n(r). Factor o(j). -j**2*(j - 1)**2/2 Let a(n) be the second derivative of n**5/20 - n**4/12 - n**3/3 + 3*n**2/2 + 7*n. Let d be a(0). Factor -1/2*b**d - 1/2*b**2 + b + 0. -b*(b - 1)*(b + 2)/2 Let r(s) be the second derivative of -s**7/42 + 7*s**6/30 - 4*s**5/5 + 2*s**4/3 + 8*s**3/3 - 8*s**2 + 86*s. Factor r(a). -(a - 2)**4*(a + 1) Factor -18*b - 3/8*b**3 - 24 - 9/2*b**2. -3*(b + 4)**3/8 Let a(i) be the third derivative of i**6/360 + 5*i**3/2 - 7*i**2. Let q(r) be the first derivative of a(r). Factor q(h). h**2 Let c = 88 + -86. Let j = -6 - -10. Factor -c*z + 0*z - 6*z**3 - 3*z**j + 5*z + 3*z + 3*z**2. -3*z*(z - 1)*(z + 1)*(z + 2) Let u(i) = -i + 64. Let d(a) = a - 32. Let x(j) = -5*d(j) - 2*u(j). Let n be x(10). Factor -10*q**n - 16*q**3 - 10*q**2 + 0*q + q - 5*q. -4*q*(q + 1)*(4*q + 1) Let n(f) = f**2 + 6*f - 1. Let y be n(-7). Suppose 2*u - 3*u = -5. Suppose -y*x**3 - 3*x**u + 7*x**5 + 2*x**3 = 0. Calculate x. -1, 0, 1 Let h(f) be the first derivative of 20 - 2/55*f**5 - 1/11*f**6 + 1/2*f**4 + 8/11*f - 8/11*f**2 - 2/11*f**3. Suppose h(w) = 0. What is w? -2, -1, 2/3, 1 Suppose -6*o - o + 630 = 0. Let u be (-4)/18 - (-425)/o. Factor 3*g**4 - 3/4*g + 0 - 3/4*g**5 + 3*g**2 - u*g**3. -3*g*(g - 1)**4/4 Let m be 38/171 + (-104)/(-18). Let j(z) be the second derivative of -1/15*z**m + 1/6*z**4 + 0 + 0*z**5 + 0*z**2 + 1/6*z**3 - 1/42*z**7 + 5*z. Factor j(w). -w*(w - 1)*(w + 1)**3 Let w(d) be the second derivative of 0 + 1/28*d**4 + 2/7*d**2 - 16*d + 13/42*d**3. Factor w(p). (p + 4)*(3*p + 1)/7 Let c(r) be the second derivative of 19*r - 1/9*r**4 + 0 - 1/60*r**5 - 2/9*r**3 + 0*r**2. Factor c(d). -d*(d + 2)**2/3 Le
{ "pile_set_name": "DM Mathematics" }
*j**2*q**2 - 19*j*q**2 wrt j? 4*c*q**2 + 6192814*q**2 Find the first derivative of -1179752*t**2 + 1281996. -2359504*t Find the second derivative of -g*v**3 - 14655*g*v**2 - 187101*g*v - 3*v**4 wrt v. -6*g*v - 29310*g - 36*v**2 What is the first derivative of -4*o**2 - 1379*o - 78802 wrt o? -8*o - 1379 Find the second derivative of -179853*j*v**2 + j + 126736*v wrt v. -359706*j Find the first derivative of 472661*b*f*r + 344729*b*r wrt f. 472661*b*r What is the third derivative of -15310*y**6 + 2*y**2 + 106*y + 19? -1837200*y**3 Differentiate y**3 - 144*y**2 - 564*y - 5847311 wrt y. 3*y**2 - 288*y - 564 Find the third derivative of -12826*h**4*t**2 + 2*h**4*t*z + 29*h**2*t**2*z + 3*t**2*z + 23*t**2 wrt h. -307824*h*t**2 + 48*h*t*z What is the first derivative of 1761*c**3*s + c**3 - 3521*c**2 wrt s? 1761*c**3 What is the third derivative of -h*p*x**2 - h*p*x + 21*h*x**3 - 2*h*x + 137*p*x**3 + 2*p*x - 16*p - 32*x**2 wrt x? 126*h + 822*p Find the second derivative of -1181*b**2*i**2 + 8*b**2*i*y - 27*b**2*y**2 - b**2*y + 3364*b*i**2*y**2 + b*y**2 - 2*i**2 wrt y. -54*b**2 + 6728*b*i**2 + 2*b Differentiate -2*a*u**3 - 30290*a*u - 3*u**3 + 102*u with respect to a. -2*u**3 - 30290*u Find the third derivative of -1691*r**6 + 4*r**4 + 4*r**3 - 18025*r**2 + 1. -202920*r**3 + 96*r + 24 Differentiate 28713*a*q**3 + 106375*q**3 wrt a. 28713*q**3 Find the third derivative of -71*h**4 - 453*h**3*k - 9581*h**2*k - 5*k wrt h. -1704*h - 2718*k Find the second derivative of -2*d**2*v**2 + 2*d**2*y**2 + 12*d*v*y + 12*d*v + 2437348*v**2*y**2 - 2*v*y**2 + 7*y**2 - 2*y wrt v. -4*d**2 + 4874696*y**2 Find the second derivative of 31526*a**2*h**3*p**2 - a*h**3*p**2 + 140*a*h**2 - 6*a*p**2 + 2*h**3*p**2 wrt a. 63052*h**3*p**2 Differentiate 3*f**2 + 8962*f + 494292 wrt f. 6*f + 8962 What is the third derivative of -1232*t*w**3*z**3 + 11*t*w**3*z**2 + 13*t*w**2*z**3 - 748*w**3*z**2 wrt z? -7392*t*w**3 + 78*t*w**2 Differentiate 984*d*p**2 + d*p - 2*d - p**2 - 5603 with respect to d. 984*p**2 + p - 2 What is the first derivative of 35*n**3 - 395*n**2 + 23693 wrt n? 105*n**2 - 790*n What is the second derivative of -1169377*l**3 - 8956*l + 21? -7016262*l What is the third derivative of 2*a**3*i**4 - 230084*a**3*i**3 + 4*a**3*i**2 - 16*a**3*i + 449*i wrt i? 48*a**3*i - 1380504*a**3 Find the first derivative of -236*b**2 - 337*b - 363310. -472*b - 337 Find the third derivative of 20*a**2*v**4 - 6362*a**2*v**3 + 15421*a**2*v - 6*a*v**2 + 4*v**2 wrt v. 480*a**2*v - 38172*a**2 Differentiate 2*a**3*g + 19*a**2 + 4*a*g**2 + 28*g**2 - 3*g - 31 wrt a. 6*a**2*g + 38*a + 4*g**2 What is the third derivative of 6665408*f**5 - 25720*f**2 - 9 wrt f? 399924480*f**2 What is the third derivative of -583*w**5 + 4*w**4 - 5*w**3 - 322*w**2 + 3*w + 10 wrt w? -34980*w**2 + 96*w - 30 What is the derivative of 27*g*h*l - g*l + 23*g - 12*h + 3252*l**4 + 566 wrt l? 27*g*h - g + 13008*l**3 What is the first derivative of -417*k**3 + k**2 + 15*k + 2177? -1251*k**2 + 2*k + 15 Differentiate -21*f**2*j**2 + 1146936*f**2 - 5978*f*j**3 - 3*j - 2 wrt j. -42*f**2*j - 17934*f*j**2 - 3 Find the first derivative of -n**3*r**2 - 5*n**3 + 210*n**2 - 18*n*r**3 + 523*r + 5 wrt r. -2*n**3*r - 54*n*r**2 + 523 Find the third derivative of -41205*p**4 - p**3 - 122544*p**2 wrt p. -988920*p - 6 Differentiate -7255*a**4*k - 158*a*k - 1944858*k with respect to a. -29020*a**3*k - 158*k What is the third derivative of -38*i*p**4 - i*p**2 + 201*p**4 - 19798*p**2 + 2*p wrt p? -912*i*p + 4824*p Find the second derivative of -1046*c**3*h**3 + 543*c**3*h + 3*c*h**3 - c + 15*h**3 - 4806*h wrt c. -6276*c*h**3 + 3258*c*h Find the third derivative of 24*k**4 - 39*k**3 + 28566*k**2. 576*k - 234 Find the second derivative of 3*x**3 - 11197*x**2 + 15636*x. 18*x - 22394 What is the first derivative of 6*f**3*i - 18710*f**3 - 3*f**2 - 4990*i wrt i? 6*f**3 - 4990 Find the first derivative of 9477*d*p - 13725*d wrt p. 9477*d What is the third derivative of 787657*q**3*t**3 + 5*q**3 - 454*q*t**2 - 121*t wrt t? 4725942*q**3 What is the derivative of 15*q*z + 6987*q + 22*z - 13500 wrt q? 15*z + 6987 What is the second derivative of -183223*b**5 - 186*b + 218? -3664460*b**3 What is the derivative of -10*j**2*t + 9*j*t - 79*j - 2*t + 131498 wrt j? -20*j*t + 9*t - 79 Find the second derivative of 149615*k*q**2 - 61426*k*q wrt q. 299230*k What is the first derivative of -53208*f**2*w + 60882*w wrt f? -106416*f*w Differentiate b**3*f - 713973*b**3 - 4*b**2*f - 117*b*f + 189*f wrt f. b**3 - 4*b**2 - 117*b + 189 What is the second derivative of 212*i**4 - 68*i**3 + 2355*i - 4 wrt i? 2544*i**2 - 408*i Find the third derivative of -3956*v**3 + 6*v**2 + 598*v + 1. -23736 Find the first derivative of d**2*w*x*z + 10*d**2*w*x - d**2 - 16*d*w*x - 2*d*x + 2*d - 8*w*x*z + 653*x*z wrt z. d**2*w*x - 8*w*x + 653*x What is the second derivative of 40114*o**3 - 2*o + 20943 wrt o? 240684*o Find the second derivative of 346888*g**2 - 719657*g - 1. 693776 What is the second derivative of -67089*c**4*t**2 - c**2*t**3 + 56*c + 2091*t**3 wrt c? -805068*c**2*t**2 - 2*t**3 What is the first derivative of 28248*f**4 + 18225 wrt f? 112992*f**3 What is the derivative of 27998*c**4 - 36002? 111992*c**3 Differentiate -2563*a*c*t - 3775*a*c + 2*a*t - 11*c*t - 2*c with respect to t. -2563*a*c + 2*a - 11*c Find the third derivative of 122590*l**3*u**2 - 4*l**3 + 2*l**2*u - 64*l**2 - l*u**2 - 54*u - 2 wrt l. 735540*u**2 - 24 Find the second derivative of -2*b**3*u**2 + b**3*u - 513*b*u**2 + u + 1225 wrt u. -4*b**3 - 1026*b What is the first derivative of -2*n**3 + 1999*n**2 - 3*n - 585290 wrt n? -6*n**2 + 3998*n - 3 What is the first derivative of 64*y**4 + 80*y - 1469? 256*y**3 + 80 Find the second derivative of 175406*d**4 + 98754*d. 2104872*d**2 Find the first derivative of 6*c**4 + 5831*c**2 + 107489 wrt c. 24*c**3 + 11662*c What is the third derivative of -2433*m**6 - 5*m**4 - 3*m**3 - 2004*m**2 + 11*m? -291960*m**3 - 120*m - 18 Differentiate -4*f**2*w**2 + 81387*f*w**3 + 107883*w**3 + 2 wrt f. -8*f*w**2 + 81387*w**3 What is the second derivative of -49340*f**2*y**4 + 615682*f**2 + y wrt y? -592080*f**2*y**2 What is the second derivative of g**2*n**2 + 2*g**2*n + 920*g**2 - 8*g*n**2 + 2*g*n - 16*n**2 - 80*n wrt g? 2*n**2 + 4*n + 1840 Find the third derivative of 15*l**4 - 585*l**3 - l**2 - 137407*l. 360*l - 3510 Find the third derivative of -1449*j**3*p**2*u**2 + j**3*u**2 + 14767*j**2*p**2*u - 2*j*u**2 + 2*p**2 wrt j. -8694*p**2*u**2 + 6*u**2 Find the first derivative of 160*w**4 + 72*w**2 + 2766. 640*w**3 + 144*w Find the third derivative of -190*j**3*k*q**2 - 1191*j**3*k - 4*j**2*k*q + j**2*q + 2*j*k*q**2 + 105*k*q**2 - 2*q**2 - 20*q wrt j. -1140*k*q**2 - 7146*k Find the second derivative of -17*i**3 - 109482*i**2 + 2865760*i wrt i. -102*i - 218964 What is the second derivative of -l**2*t**3 - 2*l**2*t - l**2 - 68*l*t**3 - 5*l*t - 62*t**2 - 24 wrt t? -6*l**2*t - 408*l*t - 124 What is the third derivative of -2*i**5 + 2*i**4*k - 83212*i**3*k - 1400*i**2*k - 926*i*k wrt i? -120*i**2 + 48*i*k - 499272*k Find the second derivative of k**4*u**2 + 374825*k**4 - 293*k*u - 2*k - 6*u**2 wrt k. 12*k**2*u**2 + 4497900*k**2 What is the first derivative of -5*p**3 - 9942*p**2 - 115581 wrt p? -15*p**2 - 19884*p Find the second derivative of -4*j*l**4 + 6279*j*l - 2*l**3 - 7442*l**2 + 10 wrt l. -48*j*l**2 - 12*l - 14884 What is the second derivative of -737*i**2*n**3*z - 33*i**2*n*z**2 - 840*i*n**2*z - i*n*z**2 + n**3 + 7*n wrt i? -1474*n**3*z - 66*n*z**2 Find the second derivative of 35712*v**2 + 58698*v - 3. 71424 What is the derivative of -3*k**3*u*y - 171367*k**3*u - 2*k**2*u**2 - 5682*u**2*y - 1 wrt y? -3*k**3*u - 5682*u**2 Differentiate 1776224*m - 6322993. 1776224 Differentiate -1048*u**3 - u**2 + 9*u + 954449 wrt u. -3144*u**2 - 2*u + 9 Find the second derivative of 144890*t**4 - 196*t + 4174 wrt t. 1738680*t**2 Find the third derivative of -32898*k**6 + 84*k**2 + 10*k + 4. -3947760*k**3 Find the third derivative of -17974*o**4 - 60*o**3 + 210718*o**2 - 2*o wrt o. -431376*o - 360 What is the first derivative of 1956475*l*n**3*z**2 + 2*l*z**2 + 5*n**3 - 19722*n*z**2 wrt l? 1956475*n**3*z**2 + 2*z**2 What is the second derivative of n**2*r**2 - n**2*r - 2*n**2 + 32224*r**3 + 5
{ "pile_set_name": "DM Mathematics" }
e factors of t. 7 Let f(x) = 219*x - 62. List the prime factors of f(3). 5, 7, 17 Let l(m) = 5*m**2 - 6*m - 25. Let y be l(12). Suppose 5*g = 32 + y. What are the prime factors of g? 131 Let c = -20 - 41. Let q = 121 + c. What are the prime factors of q? 2, 3, 5 Suppose -h = -3*h + 748. Let b = 633 - h. List the prime factors of b. 7, 37 Let f be (-12)/(3/18*-1). Suppose -2*m + f = 2*m. Suppose m = 3*h - 6. List the prime factors of h. 2 Suppose 0 = -19*t - 6375 + 42323. What are the prime factors of t? 2, 11, 43 Let v = -43 + 47. Suppose -v*d = 5*g - 321, -2*g - 3*g = 3*d - 237. List the prime factors of d. 2, 3, 7 Let o(c) = -5*c + 6. Let n(t) = -t + 1. Let x(b) = 4*n(b) - o(b). Let y be x(3). Suppose y = -3*m + 25. List the prime factors of m. 2 Let n = -119 - -123. Suppose r + 223 = 2*r - n*d, 0 = 2*r + 5*d - 394. List the prime factors of r. 3, 23 Let m be 40/6*6/5. Suppose x - 5*g = 0, m = 2*x + 2*g - 4. Suppose 4*h + 33 = x*h. List the prime factors of h. 3, 11 Let o be (2 - -206)/(-2*(-3)/(-9)). Let p = -206 - o. List the prime factors of p. 2, 53 Let p(f) = 2*f**2 + 31*f + 45. List the prime factors of p(-16). 61 Suppose -k = -2*o - 0*k + 6332, 2*o + 5*k - 6320 = 0. What are the prime factors of o? 3, 5, 211 Suppose 0 = 3*a - 3*b - 6, -b - 3*b = -5*a + 15. What are the prime factors of a? 7 Suppose -11 = 4*m + 3*w - 120, -140 = -5*m - 5*w. Let y = -13 + m. List the prime factors of y. 2, 3 Let q(p) = p**3 - 15*p**2 + p - 9. Let o be q(15). Suppose -3*n - 2*h + 415 = 0, 5*n + 136 = o*n + 3*h. List the prime factors of n. 139 Let d(w) = -33*w**3 + 2*w**2 - 1. Let t be (-2 - -8)*143/66. Let j = -14 + t. List the prime factors of d(j). 2, 17 Suppose 6564 = 85*g - 25991. What are the prime factors of g? 383 List the prime factors of (22/(-55))/(((-8)/(-730))/(-4)). 2, 73 Suppose 2*c - 7 + 5 = 0. Suppose 0 = -a - 5 - c. Let r = 40 + a. What are the prime factors of r? 2, 17 Let k = -2 - -9. What are the prime factors of ((-14)/(-8)*-1)/(k/(-56))? 2, 7 Let i be 3 - -100 - (-2)/2. Suppose 0*j + j - i = 0. What are the prime factors of j? 2, 13 Let g be (6 + (7 - 16))*(0 - 1). Let z = 9 - 5. Suppose z*l = 2*k - 110, -k + g*l + 109 = k. List the prime factors of k. 53 Suppose 4*h - 581 + 1899 = 5*u, -4*h = -u + 1326. What are the prime factors of (h/3)/((-2)/3)? 2, 83 Let d(q) = -4*q**2 + 10*q + 19. Let r be d(-5). Let o = 243 + r. What are the prime factors of o? 2, 7 Let l = -3445 - -5483. List the prime factors of l. 2, 1019 Suppose -180 = -4*l - 44. List the prime factors of (l/(-3))/((-4)/24). 2, 17 Let m(y) = -6*y + 63. List the prime factors of m(10). 3 Let p be (0/(-2))/(-4 - -5). Suppose -4*w + 0*w + 716 = p. Suppose -28 + 133 = 3*g + 3*l, 0 = 5*g + 3*l - w. What are the prime factors of g? 37 Suppose r - 2310 = -m, 50*m - 46*m - 11546 = -5*r. What are the prime factors of r? 2, 1153 Let b(j) be the second derivative of j**5/20 - j**4/6 - j**3/2 + 3*j**2/2 + 2*j - 13. Let o be (-1)/2 + 18/4. List the prime factors of b(o). 23 Let g be (1 - -2 - 2)*2/2. List the prime factors of (2 + 65)*2 - -2*g. 2, 17 Let m be (-4)/(-6) - (-50)/15. Let v(w) = 19*w + 2 - m - 8*w. What are the prime factors of v(2)? 2, 5 Suppose 48 = -4*r - 0*r. Suppose 11*l + 96 = 2*f + 9*l, -2*f = -5*l - 99. Let v = r + f. What are the prime factors of v? 5, 7 Let b = 2256 + -781. List the prime factors of b. 5, 59 Let z = 757 - 20. What are the prime factors of z? 11, 67 Let z be (-8)/12*(1 - 4). Let i(a) = a**3 + a**2 - a - 1. Let w be i(z). Suppose 7 = t - w. List the prime factors of t. 2 Let q(j) = -4*j - 2*j + j**3 - 7 + 9 - 7*j**2 - 2*j**3. Let k be q(-6). Suppose 4*w + 2*l - 56 = 0, -5*w + 96 = -k*l - 2*l. List the prime factors of w. 2 Let d(v) be the second derivative of -v**3 - 21*v**2 - 12*v. What are the prime factors of d(-16)? 2, 3 Suppose 0 = -5*a - 5*g - 80, 0*a - 4*g = -a + 4. Let r be 3/(((-20)/(-930))/(2/9)). Let f = a + r. List the prime factors of f. 19 Let x(v) = -4*v - 1. Suppose 0 = -2*c - 13 - 9. List the prime factors of x(c). 43 Let f(b) = -b**2 + 16*b + 26. Let g be f(21). Let u = 29 - g. What are the prime factors of u? 2, 3 Suppose 11*r - 6*r + 215 = 0. Let u = r - -64. Let t = u + -12. What are the prime factors of t? 3 Suppose -p = 5*y - 335, -25*p - 3*y + 327 = -24*p. List the prime factors of p. 3, 5, 7 Let p(r) = -r + 2*r + 0*r - 3*r + 3. Let n be p(-2). Suppose -a = -n*a + 294. List the prime factors of a. 7 List the prime factors of 2/7 + -222*(-4236)/252. 2, 3, 311 Suppose -10*j = -8*j + 8, -5310 = -5*t - 5*j. What are the prime factors of t? 2, 13, 41 Let t(d) = -d**2 - 14*d - 21. Let v be t(-11). List the prime factors of ((945/v)/(-5))/((-3)/12). 3, 7 What are the prime factors of 76/(-114)*(-10074)/4? 23, 73 Let x be 33/(-22)*(-1)/(3/8). Suppose -x*w = j - 0*w - 189, 0 = 5*w + 10. What are the prime factors of j? 197 Suppose 4*y = -2*l + y - 3, -3*y = 3. Let m = -14 + l. Let j(r) = -r**3 - 12*r**2 + 22*r - 11. What are the prime factors of j(m)? 73 Let n = -10 - -5. Let o = 8 + n. Suppose -o*i + 40 + 20 = 0. What are the prime factors of i? 2, 5 Let t(j) = j**3 + 13*j**2 - j + 27. Let c be t(-14). Let y = c - -397. List the prime factors of y. 2, 11 Let z = -374 - -2835. List the prime factors of z. 23, 107 Suppose 4 = -5*z - 16. Let q = 0 + z. What are the prime factors of (-11 + 1)/(q/8)? 2, 5 Suppose 0 = 14*w - 11354 - 2016. List the prime factors of w. 5, 191 Let y = -1637 - -2888. List the prime factors of y. 3, 139 Let i be (-6)/4*4/6. Let v be i - (0 - (-2)/(-2)). Suppose -3*b - b + 44 = v. List the prime factors of b. 11 Suppose 2*c = l - 31, -10*l + 14*l - 3*c = 109. What are the prime factors of l? 5 Suppose -4*r - n = -1537, 4*r + 0*n - 1534 = -2*n. What are the prime factors of r? 5, 7, 11 Let y(o) be the first derivative of -o**4/4 + 7*o**3/3 - o**2 - 9*o + 4. Let i be (225/(-6))/(-5)*6/9. What are the prime factors of y(i)? 31 Suppose 1941 = 5*n + 2*b, 1170 = 3*n + 21*b - 18*b. What are the prime factors of n? 3, 43 Let b be 124/14 - 8/(-56). Let x be -4*(-5)/(b - -1). List the prime factors of ((-153)/(-3) + 3)/x. 3 Suppose -17658 = -32*j + 15846. List the prime factors of j. 3, 349 Suppose 5*j - 3*j + 3*l - 79 = 0, 5*j - 165 = -l. Suppose -16 = 2*f + j. Let x = f + 40. What are the prime factors of x? 2 Suppose -11*m = -3*m + 24. List the prime factors of 33*((-28)/12 - m). 2, 11 Let h(s) = s**3 + 3*s**2 - 4*s + 1. Let p be h(-4). Suppose 3*m + 124 - 37 = 4*n, 0 = m + p. List the prime factors of n. 3, 7 Let a(l) = -l**3 + 4*l**2 + 5*l - 7. Let w be a(5). Let r = w - -11. Suppose -4*n = 5*m - 72, n + 1 = -5*m + r. List the prime factors of n. 23 Let q(m) be the first derivative of 7*m**2 + 6*m - 5. Let v(l) = -l - 1. Let g(p) = q(p) + 6*v(p). List the prime factors of g(5). 2, 5 Suppose -3*q - 3*l = -6*q - 6, -8 = -3*q - 4*l. Suppose q = c + 3*c - 4432. What are the prime factors of c/24 - (-2)/(-12)? 2, 23 List the prime factors of (-550)/(-44)*(-6 + 282). 2, 3, 5, 23 Let n(o) be the second derivative of -3/2*o**2 + 0 + 1/2*o**3 + 1/6*o**4 + 1/20*o**5 + 5*o. List the prime factors of n(2). 19 Let q = 80 - 45. What are the prime factors of (-212)/(-7) + (-10)/q? 2, 3, 5 Let s = -39 - -37. Let z(d) = 20*d**2 + 3*d + 3. List the prime factors of z(s). 7, 11 Let c(f) = -f**3 - f**2 + 4*f - 1. Let q be c(-3). Suppose -3*m = -q*m - 62. List the prime factors of 3/(-6)*0 - m. 31 Let l(z) = 2*z**2 + 3*z - 4. Suppose 0 = -5*d - 5*r + 10, -6*d + 5*r = -d - 30. Suppose d*b + 9 = -11. List the prime factors of l(b). 31 Let v(n) be the first derivative of 11*n**2/2 - 7*n - 8. List the prime factors of v(2). 3, 5 Let g(w) = w - 3. Let z = -8 + 13. Let v be g(z). List the prime factors of ((-26)/(-4))/(v/4). 13 Let m(v) = v**2 + 7*v - 4. Let a be m(-9). Let s = a + -26. What are the prime factors of (-415)/(-20) - 3/s? 3, 7 Suppose -4*a = 35 + 17. Let r = a + 9. Let p(c) = -8*c - 5. List the prime factors of p(r). 3 Let f(n) = -7*n**3 + 9*n**2 - 10*n + 5. Let p(b) = 15*b**3 - 17*b**2 + 19*b - 10. Let l(r) = 13*f(r) + 6*p(r). What are the prime factors of l(13)? 3, 5 Let i(u) = -u + 14. Let a be i(14). Suppose 9*n - 940 - 1130 = a. List the prime factors of n. 2, 5, 23 Let j(a) = -2*a**2 - 12*a - 2. Let v be j(-5). Supp
{ "pile_set_name": "DM Mathematics" }
- 3. Let z be k(2). Let l(w) = 30*w - 6. Let d be l(2). Let t = d + z. What is the highest common divisor of t and 22? 11 Suppose -5*d = 3*k - 15 - 18, -4*d + 5*k + 19 = 0. Calculate the greatest common factor of 54 and d. 6 Suppose -37*a + 560 = -33*a. What is the greatest common factor of a and 56? 28 Let t(p) = -11*p + 1. Let k be t(-1). Calculate the greatest common divisor of 18 and k. 6 Let m be 4/(-6) + (584/6)/2. Calculate the greatest common divisor of m and 16. 16 Let i = 2 + 1. Let p be 6/(-4)*(-66)/i. Calculate the highest common divisor of p and 22. 11 Suppose 2*p + p - 57 = 0. Suppose 3*t - 5*t = 12. Let g = t + p. Calculate the greatest common factor of g and 104. 13 Suppose 64 = -2*v + 3*v. Let k = 15 - 7. Calculate the greatest common factor of v and k. 8 Suppose -3*v = v - 324. Let t = 7 + 2. Calculate the highest common divisor of t and v. 9 Let m = -5 - -20. Suppose -m*j = -20*j + 400. Calculate the highest common factor of j and 32. 16 Let a = -30 + 64. Suppose -2*r = 2*d - 30, -r - r = 4*d - a. Calculate the greatest common divisor of r and 91. 13 Let z be ((-68)/16)/(2/(-40)). Suppose 47 = -0*c + 3*c + m, -m - 38 = -2*c. Calculate the greatest common divisor of z and c. 17 Let z(b) = 4 + 5*b - 6 + b**2 + 4. Let k be z(-5). Let d = k - -4. Calculate the highest common divisor of 48 and d. 6 Let m = 250 + -174. Calculate the highest common divisor of 19 and m. 19 Let n be 0 + (-1 - 2)*-37. Suppose -2*q + 0*q = i - 58, -2*i = 3*q - n. Calculate the greatest common factor of 32 and i. 16 Let t = -16 + 31. Calculate the highest common divisor of t and 10. 5 Suppose -c + 5*c = -4*d + 300, -d = -5. What is the highest common factor of 30 and c? 10 Suppose 0*m = 5*m - 2*q - 15, 2*m - 4*q = 6. Suppose -4*b - 3*w + 27 = -m*b, 3*w = b - 9. Calculate the greatest common factor of b and 18. 18 Let b be (-5 + 10)/(2/56). Let s be ((-10)/7)/((-4)/b). What is the greatest common factor of s and 20? 10 Let l(n) = 8*n**2 + n + 1. Suppose 5*c - 4*t + 5*t + 18 = 0, 4*t = 4*c. Let q be l(c). Suppose 14 = 3*v - 2*v. Calculate the highest common factor of v and q. 14 Let b(v) = -3*v - 8. Let c be b(-6). Let s be (c/6)/((-4)/(-48)). Calculate the highest common factor of s and 5. 5 Let t(u) = -1 + u**2 + 4*u**2 + u**2. Let j be t(-1). Suppose j*l - 251 - 19 = 0. Calculate the highest common factor of 6 and l. 6 Suppose 2*f + 28 = 4*f. Let k be 304/f + 8/28. Suppose 16 = -2*m + 5*j, 5*j = 4*m - 0*m + 12. What is the highest common factor of m and k? 2 Let f = -12 + 22. Calculate the highest common factor of f and 40. 10 Let z(t) = -14*t + 3. Let p be z(-4). Let y = 41 - p. Let r be (y + 0)/(9/(-6)). Calculate the greatest common divisor of 12 and r. 12 Let r(q) = 3*q - 3. Let d be 2/4 - (-77)/14. Let o be d/(4 - 2)*1. Let l be r(o). What is the highest common factor of l and 4? 2 Let o = 4 + 41. Calculate the greatest common divisor of o and 60. 15 Let n be -6*(-2 + 3/3). Let k(a) = a. Let g be k(n). Calculate the greatest common factor of 54 and g. 6 Let q(x) = -x**2 - 5*x + 4. Let i be q(-5). Let f(y) = -5*y + i*y - 14*y. Let u be f(-2). What is the greatest common factor of 20 and u? 10 Let l be 3 + 9/(0 + -1). Let i be l/(-14) + (-445)/(-7). Calculate the highest common divisor of 16 and i. 16 Suppose -3*s - 7 = 2*g, -2*s = 10 - 0. Suppose 2*t - 3*t = g. Let k(y) = -y + 5. Let f be k(t). Calculate the highest common divisor of f and 18. 9 Let z = 8 - -3. Calculate the highest common divisor of 88 and z. 11 Suppose -3*t + 3*b = -4*t + 36, 2*t + 4*b - 68 = 0. Let k be ((-4)/(-6))/(2/t). Let z be (5/(-3))/(2/(-36)). Calculate the greatest common divisor of k and z. 10 Suppose 0 = 5*g + 25, -4*t + 6*t = -4*g + 44. What is the highest common divisor of 2 and t? 2 Suppose -5*z + 5*u = -75, -5*u - 4 = -z + 7. Suppose -k + 1 - 2 = d, k = d - 9. What is the greatest common factor of z and d? 4 Suppose 286 = -11*g + 24*g. What is the highest common divisor of g and 154? 22 Suppose 0 = 24*b - 19*b - 70. Let u(g) = 3*g - 6. Let l be u(b). What is the greatest common divisor of 4 and l? 4 Let k = -27 + 33. Calculate the highest common factor of 96 and k. 6 Suppose -6*b + 3*b + 72 = 0. What is the greatest common divisor of 192 and b? 24 Let n(k) = 3*k - 19. Let c be n(13). Calculate the highest common divisor of c and 8. 4 Suppose -4*r = -r + 18. Let d(u) = -7*u + 3*u**2 - 4*u**2 - u - 114 + 116. Let w be d(r). What is the greatest common factor of 14 and w? 14 Let f = 120 + -79. Let s = -29 + f. Calculate the highest common factor of s and 6. 6 Suppose 2*y + 0*y = 0. Suppose -g = -y*g - 2. Suppose -7*c = -g*c - 550. Calculate the greatest common divisor of 10 and c. 10 Let z(k) = -4*k - 5. Let u be z(-5). Let v(s) = -s**3 + 5*s**2 - 1. Let f be v(4). Calculate the greatest common factor of f and u. 15 Let h be (18 - 2)*(-5)/(-10). Calculate the highest common divisor of h and 64. 8 Suppose 3*g - 157 + 63 = -h, -3*h + 262 = -g. What is the highest common divisor of h and 11? 11 Suppose 4*g = 260 - 0. Suppose -g + 5 = -5*c. What is the greatest common factor of c and 120? 12 Let t be 8*5/10 - -239. Calculate the greatest common factor of t and 27. 27 Let b(q) = -q**2 - 5 - 1 - 4 - 9*q. Let s be b(-7). Suppose s*r - 3*r - 5*z = 6, -z = 0. What is the greatest common divisor of 9 and r? 3 Let f be 6/(-15) - (-186)/(-10). Let i = f - -27. Suppose i = x + x. What is the greatest common divisor of x and 4? 4 Suppose t - 12 = -4*b, -5*t - 1 = -3*b + 8. Let k = -43 - -76. Calculate the greatest common divisor of k and b. 3 Suppose -5*n - 5*r = -0*r + 5, 2*r = -6. Suppose 0*v + n*v - 22 = 0. Calculate the highest common factor of v and 11. 11 Suppose -2*i - 3*g + 15 = 0, 5*i - 5 = -4*g + 3*g. Suppose -n - 4*n = i. Let b be 8*(n + (-3)/(-6)). Calculate the greatest common factor of 2 and b. 2 Let v = 21 - 14. What is the greatest common factor of 1 and v? 1 Let c(b) = -b**2 + 8*b - 3. Let s be c(5). Suppose 0 = 4*u - 8. Suppose 2*h + u*h = 3*j + 204, -2*j = 8. What is the highest common factor of s and h? 12 Suppose 4*p - 58 = 38. What is the highest common factor of 264 and p? 24 Let t be (27/4)/(42/112). What is the greatest common divisor of t and 126? 18 Suppose -2*d = 1 - 13. Calculate the greatest common factor of d and 6. 6 Let j(l) = l**3 + 13*l**2 + 3*l + 2. Let v be j(-5). Suppose -3*q - 102 = -q. Let n be -1*4/12*q. Calculate the greatest common divisor of n and v. 17 Suppose -107 = -5*v - 7. Let f(n) = -n**3 - 3*n**2 + n - 2. Suppose 13 - 1 = -3*l. Let j be f(l). Calculate the highest common factor of v and j. 10 Let h(t) = -2*t - 1. Let f(n) = n + 1. Let d(r) = -5*f(r) - 4*h(r). Let j be d(5). Calculate the greatest common divisor of j and 70. 14 Let k = -16 - -8. Let s = 46 - 10. Let a be (-34)/(-9) - k/s. Calculate the greatest common factor of a and 6. 2 Let k be 15 + (7 - 4) + -4. What is the highest common factor of 14 and k? 14 Let o be (-20)/110 - 1324/(-22). Suppose -8*i - o = -12*i. Calculate the greatest common divisor of 135 and i. 15 Let d(v) = -v + 3. Let b be d(-3). Suppose s + s - b = 0. What is the highest common divisor of 2 and s? 1 Suppose -446 = -11*t + 280. Let m(c) = c**3 + c**2 + c + 4. Let g be m(-3). Let a = -11 - g. What is the highest common factor of t and a? 6 Let m be ((-60)/(-14))/((-2)/(-14)). Let k = 8 + 0. Suppose -3*l + 6 = 5*f - 7, -l + 2*f = -k. What is the highest common divisor of m and l? 6 Let v = -1 - -2. Let r be ((-12)/(-3))/(1/v). Suppose -x - 35 = -5*p - 4*x, 5*x - 28 = -r*p. What is the greatest common factor of p and 56? 7 Let l be 0 - ((1 - 3) + 0). Suppose -5*k = -5*y - 160, -4*k + 87 + 43 = -l*y. Calculate the highest common factor of k and 22. 11 Let b(c) = -c**3 + 9*c**2 + c - 3. Let x be b(9). Calculate the greatest common divisor of x and 54. 6 Let n(u) = u**2 - 3*u - 2. Let r be n(-2). Let y(d) = -d + 4. Let l = 11 - 15. Let k be y(l). What is the highest common factor of r and k? 8 Suppose 6*d - 142 = 8. Calculate the highest common divisor of 175 and d. 25 Let a(g) = -g**2 + 6*g + 8. Let j be a(6). Let o = -66 + 74. Calculate the greatest common factor of o and j. 8 Suppose 14 = 3*a - 46. What is the greatest common factor of 30 and a? 10 Let j = 17 - 14. Suppose -3*t = -j*m - 435, -5*t +
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 664 What is 376021 to the power of 1/5, to the nearest integer? 13 What is 22767 to the power of 1/2, to the nearest integer? 151 What is 713634 to the power of 1/4, to the nearest integer? 29 What is the square root of 461147 to the nearest integer? 679 What is 358107 to the power of 1/7, to the nearest integer? 6 What is the square root of 231732 to the nearest integer? 481 What is 12339355 to the power of 1/2, to the nearest integer? 3513 What is 1858134 to the power of 1/9, to the nearest integer? 5 What is 16705245 to the power of 1/2, to the nearest integer? 4087 What is 172687 to the power of 1/3, to the nearest integer? 56 What is the eighth root of 7707738 to the nearest integer? 7 What is 10262034 to the power of 1/4, to the nearest integer? 57 What is 210291 to the power of 1/5, to the nearest integer? 12 What is 1933141 to the power of 1/10, to the nearest integer? 4 What is the cube root of 78964 to the nearest integer? 43 What is the third root of 135960 to the nearest integer? 51 What is 156027 to the power of 1/3, to the nearest integer? 54 What is 16962126 to the power of 1/2, to the nearest integer? 4119 What is the square root of 11677 to the nearest integer? 108 What is 240236 to the power of 1/3, to the nearest integer? 62 What is the ninth root of 885293 to the nearest integer? 5 What is the cube root of 30302 to the nearest integer? 31 What is the square root of 3158212 to the nearest integer? 1777 What is 21758681 to the power of 1/2, to the nearest integer? 4665 What is the third root of 4640519 to the nearest integer? 167 What is the third root of 760347 to the nearest integer? 91 What is 1228860 to the power of 1/3, to the nearest integer? 107 What is the third root of 12435835 to the nearest integer? 232 What is the cube root of 2118451 to the nearest integer? 128 What is 3848437 to the power of 1/2, to the nearest integer? 1962 What is 469569 to the power of 1/5, to the nearest integer? 14 What is 1730230 to the power of 1/4, to the nearest integer? 36 What is the third root of 2483364 to the nearest integer? 135 What is the cube root of 824884 to the nearest integer? 94 What is the square root of 7857825 to the nearest integer? 2803 What is 47918 to the power of 1/2, to the nearest integer? 219 What is 1434456 to the power of 1/3, to the nearest integer? 113 What is the square root of 163295 to the nearest integer? 404 What is 383524 to the power of 1/7, to the nearest integer? 6 What is the third root of 429618 to the nearest integer? 75 What is the seventh root of 744318 to the nearest integer? 7 What is the cube root of 15389615 to the nearest integer? 249 What is the third root of 649773 to the nearest integer? 87 What is the square root of 13466449 to the nearest integer? 3670 What is the ninth root of 465576 to the nearest integer? 4 What is 8657848 to the power of 1/3, to the nearest integer? 205 What is 1746830 to the power of 1/7, to the nearest integer? 8 What is the third root of 120426 to the nearest integer? 49 What is 816641 to the power of 1/3, to the nearest integer? 93 What is the tenth root of 95446 to the nearest integer? 3 What is 155675 to the power of 1/9, to the nearest integer? 4 What is the third root of 183503 to the nearest integer? 57 What is the eighth root of 4384631 to the nearest integer? 7 What is 8476443 to the power of 1/8, to the nearest integer? 7 What is the cube root of 730333 to the nearest integer? 90 What is 225484 to the power of 1/2, to the nearest integer? 475 What is the fourth root of 7441582 to the nearest integer? 52 What is 262223 to the power of 1/6, to the nearest integer? 8 What is the square root of 1918004 to the nearest integer? 1385 What is the cube root of 33581177 to the nearest integer? 323 What is the square root of 1181234 to the nearest integer? 1087 What is 16897221 to the power of 1/2, to the nearest integer? 4111 What is 9062109 to the power of 1/4, to the nearest integer? 55 What is 128638 to the power of 1/3, to the nearest integer? 50 What is 419317 to the power of 1/3, to the nearest integer? 75 What is the cube root of 148495 to the nearest integer? 53 What is the square root of 265043 to the nearest integer? 515 What is the eighth root of 218137 to the nearest integer? 5 What is 4430887 to the power of 1/2, to the nearest integer? 2105 What is the third root of 1563479 to the nearest integer? 116 What is 393556 to the power of 1/2, to the nearest integer? 627 What is 1678349 to the power of 1/5, to the nearest integer? 18 What is the cube root of 18469751 to the nearest integer? 264 What is the square root of 2349853 to the nearest integer? 1533 What is 238592 to the power of 1/2, to the nearest integer? 488 What is 8968963 to the power of 1/5, to the nearest integer? 25 What is the square root of 2373777 to the nearest integer? 1541 What is 108196 to the power of 1/2, to the nearest integer? 329 What is the cube root of 178380 to the nearest integer? 56 What is the square root of 217161 to the nearest integer? 466 What is the square root of 1949009 to the nearest integer? 1396 What is the square root of 3657140 to the nearest integer? 1912 What is the cube root of 225553 to the nearest integer? 61 What is the square root of 5392692 to the nearest integer? 2322 What is the seventh root of 2093571 to the nearest integer? 8 What is the fifth root of 1115015 to the nearest integer? 16 What is the square root of 8641960 to the nearest integer? 2940 What is 6056951 to the power of 1/7, to the nearest integer? 9 What is 4311547 to the power of 1/2, to the nearest integer? 2076 What is 2161567 to the power of 1/3, to the nearest integer? 129 What is the cube root of 1146970 to the nearest integer? 105 What is 19699239 to the power of 1/2, to the nearest integer? 4438 What is the square root of 11928031 to the nearest integer? 3454 What is the fourth root of 11391204 to the nearest integer? 58 What is the square root of 9124482 to the nearest integer? 3021 What is the ninth root of 2288195 to the nearest integer? 5 What is the square root of 4088674 to the nearest integer? 2022 What is the fifth root of 544414 to the nearest integer? 14 What is the third root of 221891 to the nearest integer? 61 What is 6103411 to the power of 1/6, to the nearest integer? 14 What is the cube root of 905764 to the nearest integer? 97 What is the eighth root of 579576 to the nearest integer? 5 What is 206417 to the power of 1/3, to the nearest integer? 59 What is 9088177 to the power of 1/9, to the nearest integer? 6 What is 7314836 to the power of 1/7, to the nearest integer? 10 What is the cube root of 960687 to the nearest integer? 99 What is the square root of 801248 to the nearest integer? 895 What is 3648051 to the power of 1/2, to the nearest integer? 1910 What is the square root of 56523 to the nearest integer? 238 What is the cube root of 22980653 to the nearest integer? 284 What is 3782740 to the power of 1/3, to the nearest integer? 156 What is the third root of 13371348 to the nearest integer? 237 What is 596905 to the power of 1/5, to the nearest integer? 14 What is 1072996 to the power of 1/7, to the nearest integer? 7 What is 11619410 to the power of 1/9, to the nearest integer? 6 What is the cube root of 3508089 to the nearest integer? 152 What is 8918469 to the power of 1/9, to the nearest integer? 6 What is 1807093 to the power of 1/2, to the nearest integer? 1344 What is the seventh root of 2324073 to the nearest integer? 8 What is 20435771 to the power of 1/3, to the nearest integer? 273 What is the seventh root of 111202 to the nearest integer? 5 What is 1365845 to the power of 1/3, to the nearest integer? 111 What is the cube root of 25591384 to the nearest integer? 295 What is 966146 to the power of 1/3, to the nearest integer? 99 What is the cube root of 2731711 to the nearest integer? 140 What is the eighth root of 5149571 to the nearest integer? 7 What is 3307380 to the power of 1/7, to the nearest integer? 9 What is the cube root of 917467 to the nearest integer? 97 What is the cube root of 5422593 to the nearest integer? 176 What is 1977186 to the power of 1/2, to the nearest integer? 1406 What is 10117386 to the
{ "pile_set_name": "DM Mathematics" }
mallest value in -2/15, j, 1/4? -2/15 Let m be 0 - (1 + 14/(-18)). Let g = -12 - -15. Which is the smallest value? (a) 1 (b) m (c) g b Let q = -86 + 87. What is the smallest value in -5, -0.2, q? -5 Let i(o) = -o**3 + 4*o**2 - 2*o - 4. Let w be i(4). Let z = w - -17. Let p be (-20)/(-25) + (-1 - 0). Which is the smallest value? (a) z (b) p (c) 3 b Let t = 0.1 + 0.1. Which is the third biggest value? (a) t (b) 1 (c) -3 c Let l be (-79)/(-30) - 2/4 - 2. Let a = 3.02 + -0.02. What is the second smallest value in 5/4, l, a? 5/4 Let i = 29 + -30. What is the second biggest value in i, 0.2, -3? i Let p = -5 + 5.7. Let r = -0.04 + 0.34. Let m = p - r. What is the smallest value in 1, m, 0.1? 0.1 Let w = 87/4 + -22. Which is the third biggest value? (a) -16 (b) -0.2 (c) w a Let o be (-4)/(-2 + 0/(-1)). Let x(s) = s**3 - 3*s + 1. Let f be x(o). Suppose 5*y - 3*c = 28 - 5, f*y - 3*c = 15. What is the smallest value in y, -0.1, -0.3? -0.3 Let z = 0.04 + 0.06. Let k = -4.1 + z. Which is the second smallest value? (a) 1 (b) -2/5 (c) k b Let j = 17/2 - 9. Which is the second smallest value? (a) -24 (b) j (c) 5 b Let a = 6817/7 + -967. Let r = a + -46/7. What is the biggest value in -0.2, -1/2, r? r Let x = 4/19 - 65/38. What is the biggest value in x, 0.3, 0.29, -1/3? 0.3 Let n be 20/(-6) - (-1 - 3). Let v = 0.41 - 0.01. What is the smallest value in 1/2, n, v? v Suppose -9*m = -5*m - 12. Let k(r) = -r**3 + 6*r**2 + 2*r + 2. Let l be k(6). Let b be 12/7 - (-4)/l. What is the smallest value in 0.4, b, m? 0.4 Suppose 0 = -2*b + 3*o - 32, -3*o - 38 = 2*b + 3*b. Let c = -2.34 - 2.66. What is the second smallest value in 0.3, c, b? c Suppose -4*v = -16 - 24. Let i be (v/(-14))/(12/(-21)). Let k = 0.2 - 0.1. What is the smallest value in i, 2, k? k Let u be 14/(-12) + (-3)/(-18). Let d be (0/u)/2 - 2. Let k be (-4)/12 + d/(-42). What is the biggest value in k, 1/4, 0.2? 1/4 Let x = 0 - -1. Let y = x + -6. Let d be -3*4/(-16)*1. Which is the third smallest value? (a) d (b) y (c) -0.2 a Let n = -2 + 0. Let x = -48 + 52.2. Let p = 4 - x. What is the biggest value in p, -4/7, n? p Let t = -3.9 - -0.9. Let h be (-4 - 13/(-3))*-2. What is the second smallest value in 0.02, h, t? h Let q be (-2)/(-5)*40/(-104). Suppose 2 - 5 = 3*t. Which is the second biggest value? (a) t (b) q (c) 4 b Let q = -65/9 + 115/18. Let v = 1/3 + q. What is the biggest value in -4, -2/3, v? v Let f be (4/11)/((-22)/(-121)). What is the third smallest value in f, -0.5, -1/10? f Let d = -1 + 0.8. Let a = -0.1 + d. Let n = 0.4 + a. What is the biggest value in -4, n, 2? 2 Let u = -1.66 + 0.66. What is the second smallest value in 0.3, 0.6, u, -2/19? -2/19 Let n = -66 - -67. What is the fourth smallest value in -3/7, n, -3, 0.3? n Let u = 44.2 + -44. Let k = -0.11 + -3.89. Which is the third biggest value? (a) u (b) k (c) -3/5 b Let d be 4/(-39)*1815/(-1). Let k = d - 186. What is the second biggest value in -5, 2, k? k Let i = 0.29 + -0.69. Which is the third smallest value? (a) i (b) 1 (c) 9 c Let x = -6 + 3. Let r = -3.4 - x. Which is the third smallest value? (a) r (b) 1 (c) -2/7 b Let q = 0.2 + 0.2. Which is the fourth biggest value? (a) 1 (b) 0 (c) q (d) 5 b Let y = -0.07 + 0.1. Let q = 2.03 - y. What is the third biggest value in -5, 0.4, q? -5 Let l = -94 + 94.47. Let r = 0.03 + l. Which is the third smallest value? (a) 1 (b) -1 (c) r a Suppose -3*q = 2*p + 6, 5*q + 23 = 2*p - 3. Suppose -4*x = -k - 18, -3*x - k = -8 - 2. Which is the second biggest value? (a) x (b) p (c) -4 b Let g(f) = 2*f**3 + 8*f**2 + 4*f - 5. Let r be g(-3). Let l = 0.2 - 0. Let n = 0.5 - 1. Which is the second smallest value? (a) r (b) n (c) l c Let r be 0 + 4/14 + 0. Let q = 75 - 78. What is the biggest value in -4, q, r? r Suppose -i + 6 = 2*i. Suppose g = -i*g + 45. What is the smallest value in -0.3, 5, g? -0.3 Let w = 5.441 + -0.041. Let j = 5 - w. Let t = 0.7 + 0.3. Which is the second biggest value? (a) t (b) -1/4 (c) j b Let v = 2/319 - -7949/4147. Let r = v - 173/117. What is the second biggest value in r, 0, -2? 0 Let y = 0.33 - 8.33. Which is the smallest value? (a) 1/4 (b) 5 (c) y c Let t = -0.035 + -0.065. Which is the third smallest value? (a) -0.3 (b) -0.4 (c) 0 (d) t d Suppose -3*o - 3 = -2*c - 6*o, -4 = 4*c - 4*o. Let a = 3992/15 + -266. What is the biggest value in a, c, 1/3? 1/3 Let n be (12/3 - 9)*-1. Which is the second smallest value? (a) 1 (b) n (c) -3 a Let m = -8.8 + 4.8. Which is the biggest value? (a) m (b) -1 (c) -13/3 b Let k = -15.02 - -15. Let y = k - 2.98. Which is the second biggest value? (a) -0.3 (b) -6 (c) y c Let i = -0.2 + 0.4. Let u = i - 0.3. Let f = -0.884 - -0.484. Which is the biggest value? (a) f (b) u (c) 1/2 c Let v be 2/(-2) + 3/(18/8). Let u = 2/87 + -184/435. Which is the smallest value? (a) u (b) v (c) -0.2 a Let h = 0.932 + 0.068. Which is the third biggest value? (a) h (b) 0.5 (c) 1/4 c Let i be (-8 - -1)/(0 + 5). Let q = 147/95 + -18/19. Which is the second biggest value? (a) -2 (b) i (c) q b Let y = 1.389 - 0.089. What is the second biggest value in 5, 1, y? y Let o = -1 + 1.05. Let b = o + -0.45. What is the biggest value in -0.2, 1, b? 1 Let x = 2.9 - 3.2. Let m = -0.1 - 0.9. Let k = -1 + m. Which is the biggest value? (a) x (b) k (c) 1 c Let k = -86 - -130. Let b = k - 48.4. Let l = b - -4. What is the third smallest value in l, 2/9, 0.2? 2/9 Let l = -141 + 140.5. Let q = 5 - 10. Which is the third smallest value? (a) -3 (b) q (c) l c Let l = 25 + -25.13. Let n = l - -5.13. Which is the smallest value? (a) 0 (b) 1/4 (c) n a Suppose o + 1 = -0. Which is the third smallest value? (a) o (b) -0.3 (c) 2 (d) -2/17 d Let i = 1.4 + -1.8. Which is the third smallest value? (a) i (b) -2 (c) -3 a Let j be 4353/14 - (-2)/(-4). Let i = 311 - j. Let v = 0 - 3. Which is the third smallest value? (a) i (b) -1 (c) v a Let k be 1 - 1/(-1 - -2). Let z be 0 - k - (-4)/(-26). Let d = 2 - 5. What is the third smallest value in z, -0.4, d? z Suppose g = -3*v - 4, -5*g = -2*g - 2*v - 10. Let o = 1/12 - -1/12. Which is the third smallest value? (a) g (b) -0.5 (c) o a Let v = -15/124 + -4/31. Let l(s) = -s**3 - s + 22. Let d be l(0). Suppose 2*x - d = 4*c, -2*x + 17 = -0*x - 3*c. What is the third biggest value in v, -0.5, x? -0.5 Let p be (-1 - (-1)/(-4))/(7/14). Which is the third biggest value? (a) -0.07 (b) 1 (c) p c Let s = 0.03 + 3.97. Let q = s + -5. Let j be -1 + 2/(10/7). Which is the third biggest value? (a) j (b) q (c) 4 b Let a = 0.2 - 0.4. Let c = 8.2 + -8. What is the biggest value in c, 4/5, a? 4/5 Let l = 3.5 + 0.5. Let q = -0.21 + 0.2. Let o = 0.31 + q. What is the third smallest value in o, -0.3, l? l Let s be (-2)/(14/(-3) + 0). Let q = 0.42 + -0.02. Let n = q - 0.1. Which is the smallest value? (a) s (b) -0.4 (c) n b Let p = -18 + 22. What is the smallest value in p, 3/4, 0.5? 0.5 Let t(b) = b**3 - 5*b**2 + 2*b + 3. Let f be t(4). What is the third biggest value in f, -4, -0.5? f Let q(u) = 2*u**2 + 4*u - 1. Suppose -10 = 3*f - 1. Let k be q(f). Which is the biggest value? (a) 4 (b) k (c) 2 b Let l(n) = -3*n - 43. Let v be l(-15). Let s be 3/(-20) + 2/(-8). What is the third smallest value in s, -5, v? v Let y = 16/5 - 13/5. What is the biggest value in 2, -2/9, y, 4? 4 Suppose 0 = -3*p - 15. Let f(r) = -r**2 - 3*r - 1. Let o be (-2)/(-2) - (2 + 1). Let n be f(o). Which is the smallest value? (a) n (b) 0.3 (c) p c Let c = 44/25 + -496/225. What is the fourth biggest value in -1/2, 2, -2/5, c? -1/2 Let k = 2.4 + -2.8. Which is the third biggest value? (a) -1/7 (b) k (c) -0.1 b Let h be 1 - -16*2*(-3)/36. What is the biggest value in h, 4/5, -2? 4/5 Let n be (3/27*3)/1. Which is the third smallest value? (a) -1/3 (b) 0 (c) n c Let m = -1.49 - -1.55. What is the biggest value in -2/3, -0.4, m? m Let f = 0.5 + -1.5. Let n = f - -0.6. Suppose 7*o - 5 = 8*o. What is the second smallest value in 0, n, o? n Suppose -5*n = 4*c + 17, n + 4*n = 2*c + 1. What is the biggest value in -5, n, 0.4? 0.4 Let p = -1.6 - -2.1. Which is the third biggest value? (a) 0.1 (b) p (c) 2/5 a Let j = -0.1 - -0.2. Let q = -6 + 3. Which is the biggest value? (a) q (b) 3
{ "pile_set_name": "DM Mathematics" }
t is 9/10 of a meter in centimeters? 90 How many micrometers are there in 25/4 of a millimeter? 6250 Convert 633.98 hours to milliseconds. 2282328000 Convert 17119.97 grams to tonnes. 0.01711997 Convert 8878.809 micrometers to millimeters. 8.878809 What is 1/5 of a minute in seconds? 12 What is 16201.002 months in millennia? 1.3500835 How many days are there in 2502.1737 microseconds? 0.00000002896034375 What is 8/25 of a microgram in nanograms? 320 What is 659.8698 micrograms in nanograms? 659869.8 How many kilometers are there in 15.04409 centimeters? 0.0001504409 How many millimeters are there in 51.68064cm? 516.8064 How many centuries are there in 13/5 of a millennium? 26 How many nanometers are there in 500605.5m? 500605500000000 How many nanoseconds are there in 54/5 of a microsecond? 10800 How many milligrams are there in fifty-three fifths of a gram? 10600 What is 31/5 of a litre in millilitres? 6200 What is 3/10 of a century in decades? 3 What is 6/5 of a decade in months? 144 How many months are there in 25/4 of a decade? 750 What is 4.556053ns in microseconds? 0.004556053 What is three tenths of a millennium in months? 3600 How many centimeters are there in 3/5 of a meter? 60 What is 0.4208945 days in hours? 10.101468 Convert 0.6521651m to nanometers. 652165100 What is sixty-nine halves of a microgram in nanograms? 34500 What is 0.2704559km in nanometers? 270455900000 What is twenty-one quarters of a litre in millilitres? 5250 How many months are there in 10/3 of a millennium? 40000 How many milliseconds are there in 5605.12 days? 484282368000 What is 15985.788 months in millennia? 1.332149 Convert 89295790.5 seconds to weeks. 147.64515625 How many decades are there in 69/2 of a millennium? 3450 What is 6/5 of a litre in millilitres? 1200 Convert 245021.82 months to years. 20418.485 What is 76/7 of a week in hours? 1824 What is 80389.57 millilitres in litres? 80.38957 How many days are there in 26/7 of a week? 26 How many minutes are there in 956.8305 weeks? 9644851.44 What is 1/18 of a day in seconds? 4800 What is 9405.315l in millilitres? 9405315 What is 1/20 of a week in minutes? 504 How many seconds are there in 6/5 of a hour? 4320 What is one quarter of a milligram in micrograms? 250 What is 761.7079 millennia in decades? 76170.79 How many micrometers are there in seven quarters of a millimeter? 1750 How many nanograms are there in 6.093831t? 6093831000000000 How many millimeters are there in 57.31095 micrometers? 0.05731095 What is 3/8 of a tonne in kilograms? 375 What is 0.5160767 millilitres in litres? 0.0005160767 What is nine tenths of a micrometer in nanometers? 900 Convert 1430.7501 months to years. 119.229175 Convert 26780.484 months to centuries. 22.31707 What is 29/5 of a litre in millilitres? 5800 How many grams are there in 25/4 of a kilogram? 6250 What is 516.7456 decades in years? 5167.456 How many milligrams are there in 677646.5 tonnes? 677646500000000 What is 564069.2ng in micrograms? 564.0692 Convert 817283.5 centuries to years. 81728350 Convert 532846.8 litres to millilitres. 532846800 How many millimeters are there in twenty-one halves of a centimeter? 105 What is fourty-four fifths of a centimeter in millimeters? 88 How many hours are there in 1113.4503 milliseconds? 0.00030929175 What is 332.6215 meters in micrometers? 332621500 What is 536.6763km in nanometers? 536676300000000 Convert 2430575.1 months to centuries. 2025.47925 What is 11/10 of a centimeter in millimeters? 11 How many meters are there in twenty-six fifths of a kilometer? 5200 What is 1/5 of a litre in millilitres? 200 Convert 5015.203l to millilitres. 5015203 What is 5/8 of a millisecond in microseconds? 625 What is 9927.32 weeks in microseconds? 6004043136000000 What is 16/7 of a week in days? 16 How many millilitres are there in 6598.232l? 6598232 How many millilitres are there in 49/4 of a litre? 12250 How many millilitres are there in thirty-one fifths of a litre? 6200 How many kilograms are there in three fifths of a tonne? 600 What is 8125.187 nanometers in millimeters? 0.008125187 What is fifteen quarters of a litre in millilitres? 3750 What is 599.7217 millennia in centuries? 5997.217 How many seconds are there in 5.473766 days? 472933.3824 Convert 4817.37l to millilitres. 4817370 How many milliseconds are there in 27.45387 weeks? 16604100576 How many minutes are there in four sevenths of a week? 5760 Convert 0.6544485 millilitres to litres. 0.0006544485 How many meters are there in seven quarters of a kilometer? 1750 What is 54465.09 millennia in years? 54465090 How many litres are there in 99.10186 millilitres? 0.09910186 What is 0.4400891 micrometers in centimeters? 0.00004400891 What is four thirds of a week in hours? 224 How many days are there in ten sevenths of a week? 10 How many nanograms are there in 6/25 of a microgram? 240 How many kilograms are there in 5/8 of a tonne? 625 What is 0.7861778l in millilitres? 786.1778 Convert 5291.076l to millilitres. 5291076 How many weeks are there in 42387.737 days? 6055.391 What is one fifth of a century in decades? 2 Convert 0.1095374 micrograms to milligrams. 0.0001095374 What is one quarter of a meter in centimeters? 25 What is 32363.41 grams in milligrams? 32363410 How many centimeters are there in six fifths of a meter? 120 How many millilitres are there in 2.174356l? 2174.356 What is 0.8146652 kilometers in centimeters? 81466.52 What is 80.66926 days in milliseconds? 6969824064 What is 880116.6 millennia in years? 880116600 How many months are there in 4/3 of a decade? 160 How many millennia are there in 112.25343 months? 0.0093544525 How many minutes are there in twenty ninths of a week? 22400 Convert 3.230854l to millilitres. 3230.854 How many hours are there in 25/2 of a week? 2100 How many seconds are there in seven halves of a hour? 12600 What is 0.8259014 milligrams in nanograms? 825901.4 How many milligrams are there in one sixteenth of a kilogram? 62500 What is five quarters of a millimeter in micrometers? 1250 How many kilograms are there in 7/8 of a tonne? 875 Convert 143.4434 millilitres to litres. 0.1434434 What is 6.11976 kilograms in nanograms? 6119760000000 How many seconds are there in 1/60 of a minute? 1 How many centuries are there in 475.1518 decades? 47.51518 How many kilometers are there in 6722.919m? 6.722919 What is 0.400531 millennia in centuries? 4.00531 What is 416755.6 years in decades? 41675.56 What is 742425.8ml in litres? 742.4258 What is 0.3905703 centimeters in micrometers? 3905.703 How many minutes are there in fifty-seven halves of a hour? 1710 How many seconds are there in 11/4 of a hour? 9900 How many centuries are there in 3250.366 decades? 325.0366 What is twenty-seven quarters of a litre in millilitres? 6750 What is 765820.2 tonnes in milligrams? 765820200000000 How many millilitres are there in 7/8 of a litre? 875 What is 4.94796l in millilitres? 4947.96 What is 170.190216 minutes in weeks? 0.01688395 Convert 0.5428015 millilitres to litres. 0.0005428015 How many minutes are there in 101.74584ns? 0.000000001695764 How many years are there in 37/5 of a century? 740 Convert 8.24363kg to tonnes. 0.00824363 How many millilitres are there in 6/5 of a litre? 1200 How many months are there in 5/6 of a millennium? 10000 What is 25/4 of a microsecond in nanoseconds? 6250 Convert 0.8606781kg to tonnes. 0.0008606781 How many months are there in eighteen fifths of a millennium? 43200 Convert 8751.488 decades to centuries. 875.1488 What is 1/4 of a tonne in kilograms? 250 How many months are there in 1/4 of a decade? 30 What is 29.12335cm in nanometers? 291233500 What is 25/8 of a millimeter in micrometers? 3125 What is 3/5 of a tonne in kilograms? 600 How many millilitres are there in 13/5 of a litre? 2600 What is 4167.563 millimeters in micrometers? 4167563 How many milligrams are there in 1/16 of a kilogram? 62500 Convert 98733.19 decades to millennia. 987.3319 How many microseconds are there in 566206.9 milliseconds? 566206900 What is 68.48376mg in grams? 0.06848376 What is 920.3736ng in micrograms? 0.9203736 How many litres are there in 6.027065 millilitres? 0.006027065 How many millilitres are there in 7/2 of a litre? 3500 How many millilitr
{ "pile_set_name": "DM Mathematics" }
h = -2 - g. What are the prime factors of h? 5 Let u be (-14)/(-3) + (-2)/3. Let i(j) = -4*j - 9. Let x be i(-7). Suppose -u*b + 41 + x = 0. List the prime factors of b. 3, 5 Let u be -1*(-6)/(2 - 0). Suppose u*v - 84 = -p - 30, -p + 34 = -v. Suppose 0 = 4*y + t - 89, -7*t + 2*t = -2*y + p. What are the prime factors of y? 2, 11 Let z(c) = 39*c**2 + c + 1. What are the prime factors of z(-1)? 3, 13 Let l = -10 - -2. Let x = l - -15. Let a = x - 0. List the prime factors of a. 7 Suppose p - 4*z + 3*z = 3, 0 = 3*p + 2*z - 29. Suppose 3*u + w = 3, 0 = -5*u - w - 0*w + p. Suppose -u*n = -4*n + 34. List the prime factors of n. 17 Let x = 5 + -4. Suppose 3 = -i + x. What are the prime factors of (3/(-5))/(i/30)? 3 Suppose 3*j = 6*j. Suppose 2*n - 3 - 1 = j. Suppose 0 = n*g - 7*g + 30. What are the prime factors of g? 2, 3 Let s(w) = -2*w**2 + w. Let b be s(2). Let m = b + 8. What are the prime factors of m? 2 Let u(o) = -2*o - 4. Suppose 5*y - 25 - 15 = 0. Suppose -2*i = -4*h - 26, 3*h + 3*i + 7 + y = 0. List the prime factors of u(h). 2 Suppose -p - 15 = -4*p, 10 = 5*r - 2*p. Suppose -58 = t - 5*t + 2*o, -92 = -5*t - r*o. List the prime factors of t. 2 List the prime factors of (-92)/(-3)*(-42)/(-28). 2, 23 Let w(m) be the third derivative of m**6/120 - 2*m**5/15 + 5*m**4/12 - 4*m**3/3 + 2*m**2. What are the prime factors of w(7)? 13 Suppose 0 = -4*u + 3*q + 23, u - 5*q - 8 = -2*q. Suppose -m - 48 = -3*m + 4*f, u*m - f = 84. List the prime factors of m. 2 Let m(q) = q**2 + 4*q - 8. Suppose 5*p + 4*i - 61 = 0, -5*p + 2*i + 48 = 11. Suppose 4*t - b = -27, -t - 4*b + p = b. What are the prime factors of m(t)? 2 Suppose -v - 3*x - 2 = 0, -16 = 5*x - 1. What are the prime factors of v? 7 Let u(x) = -x**3 + 6*x**2 + 5*x - 1. List the prime factors of u(6). 29 Suppose -2 = v - 2*v. Let n = v - -1. What are the prime factors of n? 3 Let r be 4/(-6) - (-546)/9. Suppose 5*l - l = r. What are the prime factors of l? 3, 5 Let p(a) = 34*a**3 + a**2 + a - 1. What are the prime factors of p(1)? 5, 7 Let d(p) = -p**3 + 2 + 8*p**2 - 43*p - 4 + 38*p - 3. Let t = -4 + 11. What are the prime factors of d(t)? 3 Let u = 99 - 61. List the prime factors of u. 2, 19 Let x(a) = a**2 + a - 6. Let o be x(5). Let h = o - 10. List the prime factors of h. 2, 7 Let x = -8 + 12. Suppose -9*i = -x*i - 65. What are the prime factors of i? 13 Suppose -4*t + 3 = -5. List the prime factors of (-3)/t + 315/10. 2, 3, 5 Let s = 24 + -10. List the prime factors of s. 2, 7 Let u be (1 - -1 - 1) + 2. Suppose -2*q + 92 = -5*k, -u*k - 199 = -3*q - 61. What are the prime factors of q? 2, 23 Let s(o) = o**3 + 5*o**2 - o - 3. Let x be s(-5). Suppose a = -x*y + 32, 82 = 5*y + 3*a - a. List the prime factors of y. 2, 3 Let y be -2 + 3 + (1 - 2). Let s = y + 2. List the prime factors of (4/1)/(1/s). 2 Suppose -v + 2*x = -4 - 2, -15 = -4*v - x. What are the prime factors of v? 2 Suppose 2*z + 3*k - 21 = -3, -5*k = -4*z - 8. Let t = 10 + -6. Suppose -z*c + 52 = -t*b - b, b = -c + 4. List the prime factors of c. 3 Suppose 3*f - 5*u - 865 = 0, -871 = 3*f - 6*f - u. What are the prime factors of f? 2, 5, 29 Suppose 35 = 7*j - 2*j. Suppose 6 = 9*q - j*q. What are the prime factors of q? 3 Let i(d) = 2*d - 3*d**2 - 2*d - d**3 + 6 - 2*d + 7*d. Let m be i(-4). Let b(y) = y + 1. What are the prime factors of b(m)? 3 Let m = 10 - 22. Let d = m - 4. What are the prime factors of (d/6)/((-2)/3)? 2 Let j(x) = -x + 1. Let c(f) = 3*f - 1. Let a(l) = -c(l) - 2*j(l). Let n(m) = 16*m + 24. Let t(v) = -20*a(v) - n(v). List the prime factors of t(4). 2, 3 Suppose 3*o + 43 + 23 = 0. Let q = o - -37. List the prime factors of q. 3, 5 Let u(k) = -9*k**2 + k. Let n be u(-1). What are the prime factors of (2/3)/(n/(-45))? 3 What are the prime factors of (-9)/((-27)/138)*1? 2, 23 Suppose 4*v + 0*v + 16 = 0. Let k(g) = g**2 + 3*g + 3. Let r be k(v). Suppose -i + 1 = -r. What are the prime factors of i? 2 Let m be (5/5)/(1/1). List the prime factors of (-3 - (-24 + 0))*m. 3, 7 Let w(k) be the third derivative of -k**4/12 + k**2. What are the prime factors of w(-1)? 2 Let c be (0 - 7) + (18 - 20). What are the prime factors of 39*(-3)/c - -3? 2 Let b = -4 + 8. Suppose -2*g + 13 = -3*x, 4*x = -g + 3*g - 16. Suppose -f = -g*f + b. What are the prime factors of f? 2 Suppose -3*c - 40 = -2*x, -2*x + 0*x + 4*c = -40. What are the prime factors of x? 2, 5 Let l(c) = 3*c + 41. What are the prime factors of l(17)? 2, 23 Suppose -o = 2*o + 12. Let h = 2 + o. List the prime factors of 3/12*h*-4. 2 Let j be 8 - ((-2)/2 - -4). Suppose 3*l = -j*g + 40, 0*l + l - 3*g - 4 = 0. What are the prime factors of l? 2, 5 Let c = 13 - 28. Let g = c - -26. List the prime factors of g. 11 Suppose -5*f = -2*f - 63. Suppose -3 = -3*a + f. List the prime factors of a. 2 Let r = 599 + -405. What are the prime factors of r? 2, 97 Let s(j) = -j**3 + 4*j**2 + 5*j. Let n be s(5). Suppose -3*l + 5 + 1 = n. Suppose -l*i = -b - 3*b + 10, -4*b + i + 11 = 0. List the prime factors of b. 3 List the prime factors of (-106)/(-1) + 36/6 + -2. 2, 5, 11 Suppose 40 = -2*x - 4*y, 0*x - 2*x - 12 = -3*y. What are the prime factors of (x + 0)/(-4) - 0? 3 Let w = -51 - -170. List the prime factors of w. 7, 17 List the prime factors of 1 + ((-1)/1 - -2). 2 Let g = -139 + 199. List the prime factors of g. 2, 3, 5 Let s = 406 + -232. What are the prime factors of s? 2, 3, 29 Let d(w) = w**3 + 10*w**2 + 3*w - 18. Let m be d(-9). Suppose h + m = s - 3*h, 3*h = -12. What are the prime factors of s? 2, 5 Let u = -133 + 316. List the prime factors of u. 3, 61 What are the prime factors of (-64)/28 + 2 + 2958/14? 211 Let f(y) = y. Let l be f(3). Let r(b) = -2*b + 3*b + 25 - 25. List the prime factors of r(l). 3 Let i = 154 + -64. List the prime factors of i. 2, 3, 5 Let d(t) = -2*t + 6. What are the prime factors of d(-14)? 2, 17 List the prime factors of 15*(0 + 33/9). 5, 11 Suppose -2*z + 3*a - 2 = 0, -4*z - 1 + 5 = -4*a. Suppose -35 = -6*r + r + z*s, 3*s - 9 = -3*r. What are the prime factors of r? 5 Suppose 11 = 5*l - 4. Suppose -3*f = -0*x + 4*x - 68, -l*f + 76 = -4*x. List the prime factors of f. 2, 3 Let b(s) = -5*s - 8. What are the prime factors of b(-4)? 2, 3 Let s = -17 - -25. Suppose 2*d + u = -3*u - s, -u = -3*d + 9. List the prime factors of d. 2 Let q(l) be the second derivative of -l**5/20 + l**4/4 + l**3/2 + 2*l**2 - l. What are the prime factors of q(3)? 13 List the prime factors of 10 + -5 - 2 - (-3 + -164). 2, 5, 17 Suppose 0*k + 238 = 2*k - w, 3*k - 5*w = 350. List the prime factors of k. 2, 3, 5 List the prime factors of 52*(4/(-4) - -2). 2, 13 Let f = 35 + -8. What are the prime factors of f? 3 List the prime factors of 79 + ((-3)/(-3) - 2). 2, 3, 13 Let l(r) = -r + 8. Let i be l(11). Let x be (i/4)/((-4)/16). Suppose -19 - 20 = -x*d. What are the prime factors of d? 13 Suppose 5*i = 4*l + 607 - 150, 5*i = 5*l + 455. List the prime factors of i. 3, 31 Suppose 0 = 5*k - 3*k - 66. What are the prime factors of k? 3, 11 Let s = -118 + 217. List the prime factors of s. 3, 11 Let c = 10 - 2. Let d = 13 - c. Suppose -3*p - d*n = -30, 4*p - n = p + 12. List the prime factors of p. 5 Let u = -39 - -59. Suppose -8 - u = -4*x. What are the prime factors of x? 7 Let k be (-7 + 3)*(0 - 1). Suppose -4 = -k*t + 4. What are the prime factors of t? 2 Suppose -7 = 3*n - 0*o - 5*o, -3*n = 2*o + 14. Let v = 15 + -10. Let y = v - n. What are the prime factors of y? 3 Let m be 38/(-9) - (-4)/18. Let p = m + -3. What are the prime factors of (-110)/(-7) + (-2)/p? 2 Let x(c) = -6*c**2 - 15*c - 29. Let f(n) = -2*n**2 - 5*n - 10. Let k(v) = 17*f(v) - 6*x(v). List the prime factors of k(-5). 29 Let r(g) = -g**2 - 11*g - 11. List the prime factors of r(-6). 19 Suppose -20 = -6*k + k. Suppose w + k = -4*n - 3, -5*w = -3*n - 34. Suppose 0 = 3*a + 10 + w, f + 5*a = -22. What are the prime factors of f? 3 Let i be 2*-2 + 1 + -1. Let u = -6 + 8. List the prime factors of (3/((-3)/i))/u. 2 Suppose 0 = 2*y + 4 - 8. Let o = 3 + y. What are the prime factors of o? 5 Let o be (-133)/(-21) + 4/6. Suppose -i + o = -13. What are the prime factors of i? 2, 5 Suppose 0*o - o = -5*i - 124, 3*o - 315 = -4*i. What are the prime factors of o? 109 Suppose -2*s + 64 = n, 2*n = s + 2*s + 114. What are the
{ "pile_set_name": "DM Mathematics" }
26. 11 Calculate the remainder when 86 is divided by 6. 2 What is the remainder when 475 is divided by 62? 41 Calculate the remainder when 93 is divided by 13. 2 Calculate the remainder when 266 is divided by 15. 11 Calculate the remainder when 610 is divided by 68. 66 What is the remainder when 14584 is divided by 11? 9 Calculate the remainder when 117 is divided by 40. 37 What is the remainder when 269 is divided by 110? 49 What is the remainder when 2231 is divided by 77? 75 What is the remainder when 6322 is divided by 25? 22 What is the remainder when 1323 is divided by 1305? 18 Calculate the remainder when 152 is divided by 11. 9 What is the remainder when 47139 is divided by 243? 240 What is the remainder when 1270 is divided by 181? 3 Calculate the remainder when 1626 is divided by 31. 14 Calculate the remainder when 15 is divided by 7. 1 Calculate the remainder when 2768 is divided by 44. 40 What is the remainder when 108 is divided by 14? 10 Calculate the remainder when 649 is divided by 21. 19 Calculate the remainder when 4837 is divided by 19. 11 What is the remainder when 198 is divided by 8? 6 Calculate the remainder when 39 is divided by 20. 19 What is the remainder when 359 is divided by 28? 23 Calculate the remainder when 1233 is divided by 1200. 33 What is the remainder when 78 is divided by 10? 8 What is the remainder when 164 is divided by 42? 38 What is the remainder when 182 is divided by 181? 1 Calculate the remainder when 1950 is divided by 85. 80 What is the remainder when 189 is divided by 37? 4 Calculate the remainder when 18668 is divided by 21. 20 Calculate the remainder when 289 is divided by 287. 2 What is the remainder when 109 is divided by 55? 54 What is the remainder when 52 is divided by 14? 10 Calculate the remainder when 148 is divided by 37. 0 Calculate the remainder when 1256 is divided by 1. 0 What is the remainder when 1529 is divided by 34? 33 Calculate the remainder when 3294 is divided by 542. 42 Calculate the remainder when 394 is divided by 24. 10 Calculate the remainder when 225 is divided by 11. 5 What is the remainder when 143 is divided by 19? 10 What is the remainder when 1440 is divided by 286? 10 Calculate the remainder when 63 is divided by 7. 0 What is the remainder when 769 is divided by 18? 13 What is the remainder when 1159 is divided by 106? 99 What is the remainder when 12 is divided by 4? 0 Calculate the remainder when 21943 is divided by 133. 131 Calculate the remainder when 474 is divided by 53. 50 What is the remainder when 13934 is divided by 23? 19 What is the remainder when 77 is divided by 8? 5 Calculate the remainder when 897 is divided by 36. 33 What is the remainder when 3034 is divided by 739? 78 What is the remainder when 296 is divided by 34? 24 What is the remainder when 430 is divided by 64? 46 Calculate the remainder when 232 is divided by 60. 52 What is the remainder when 47 is divided by 19? 9 Calculate the remainder when 274 is divided by 18. 4 Calculate the remainder when 322 is divided by 17. 16 What is the remainder when 99 is divided by 25? 24 Calculate the remainder when 84 is divided by 10. 4 Calculate the remainder when 466 is divided by 119. 109 Calculate the remainder when 1318 is divided by 602. 114 What is the remainder when 2241 is divided by 11? 8 Calculate the remainder when 2885 is divided by 111. 110 Calculate the remainder when 173 is divided by 6. 5 What is the remainder when 753 is divided by 38? 31 What is the remainder when 1526 is divided by 151? 16 Calculate the remainder when 95 is divided by 11. 7 Calculate the remainder when 47 is divided by 8. 7 Calculate the remainder when 168 is divided by 43. 39 What is the remainder when 808 is divided by 9? 7 Calculate the remainder when 112 is divided by 59. 53 Calculate the remainder when 225 is divided by 78. 69 Calculate the remainder when 309 is divided by 150. 9 Calculate the remainder when 1105 is divided by 354. 43 What is the remainder when 358 is divided by 90? 88 Calculate the remainder when 729 is divided by 8. 1 What is the remainder when 23 is divided by 5? 3 Calculate the remainder when 65 is divided by 17. 14 Calculate the remainder when 8257 is divided by 10. 7 What is the remainder when 275 is divided by 31? 27 What is the remainder when 203 is divided by 65? 8 What is the remainder when 86 is divided by 15? 11 Calculate the remainder when 2380 is divided by 108. 4 Calculate the remainder when 3235 is divided by 536. 19 What is the remainder when 52 is divided by 9? 7 What is the remainder when 133 is divided by 76? 57 What is the remainder when 1087 is divided by 316? 139 What is the remainder when 1477 is divided by 385? 322 What is the remainder when 3039 is divided by 39? 36 Calculate the remainder when 689 is divided by 231. 227 What is the remainder when 535 is divided by 530? 5 What is the remainder when 454 is divided by 404? 50 Calculate the remainder when 68 is divided by 7. 5 What is the remainder when 201 is divided by 92? 17 Calculate the remainder when 440 is divided by 63. 62 What is the remainder when 239 is divided by 120? 119 What is the remainder when 1512 is divided by 58? 4 Calculate the remainder when 104 is divided by 28. 20 What is the remainder when 459 is divided by 20? 19 What is the remainder when 341 is divided by 27? 17 What is the remainder when 338 is divided by 17? 15 What is the remainder when 2089 is divided by 13? 9 Calculate the remainder when 1096 is divided by 52. 4 What is the remainder when 296 is divided by 9? 8 What is the remainder when 120 is divided by 100? 20 Calculate the remainder when 237 is divided by 34. 33 Calculate the remainder when 25337 is divided by 28. 25 What is the remainder when 2322 is divided by 17? 10 Calculate the remainder when 173 is divided by 34. 3 Calculate the remainder when 150 is divided by 19. 17 What is the remainder when 1891 is divided by 132? 43 Calculate the remainder when 671 is divided by 73. 14 Calculate the remainder when 117 is divided by 57. 3 Calculate the remainder when 264 is divided by 139. 125 Calculate the remainder when 504 is divided by 168. 0 What is the remainder when 908 is divided by 140? 68 Calculate the remainder when 317 is divided by 41. 30 What is the remainder when 24490 is divided by 15? 10 What is the remainder when 42 is divided by 19? 4 What is the remainder when 919 is divided by 71? 67 Calculate the remainder when 1245 is divided by 125. 120 Calculate the remainder when 187 is divided by 54. 25 Calculate the remainder when 21 is divided by 12. 9 Calculate the remainder when 1880 is divided by 33. 32 Calculate the remainder when 7758 is divided by 80. 78 Calculate the remainder when 614 is divided by 60. 14 Calculate the remainder when 399 is divided by 31. 27 What is the remainder when 1829 is divided by 61? 60 Calculate the remainder when 1783 is divided by 5. 3 What is the remainder when 166 is divided by 72? 22 Calculate the remainder when 6371 is divided by 12. 11 Calculate the remainder when 37 is divided by 33. 4 Calculate the remainder when 906 is divided by 240. 186 What is the remainder when 80 is divided by 3? 2 What is the remainder when 1103 is divided by 224? 207 What is the remainder when 98 is divided by 21? 14 Calculate the remainder when 13345 is divided by 94. 91 Calculate the remainder when 550 is divided by 62. 54 Calculate the remainder when 1580 is divided by 31. 30 Calculate the remainder when 132 is divided by 68. 64 What is the remainder when 943 is divided by 73? 67 Calculate the remainder when 3780 is divided by 66. 18 What is the remainder when 128 is divided by 22? 18 Calculate the remainder when 77 is divided by 42. 35 What is the remainder when 155 is divided by 21? 8 What is the remainder when 159 is divided by 53? 0 Calculate the remainder when 1444 is divided by 49. 23 Calculate the remainder when 409 is divided by 40. 9 Calculate the remainder when 68 is divided by 24. 20 What is the remainder when 286 is divided by 58? 54 What is the remainder when 2212 is divided by 21? 7 Calculate the remainder when 3639 is divided by 332. 319 What is the remainder when 694 is divided by 166? 30 What is the remainder when 36 is divided by 8? 4 Wha
{ "pile_set_name": "DM Mathematics" }
by a. 16 Suppose 0 = 26*z + 244 - 1284. What is the remainder when z is divided by 21? 19 Suppose -3*x = -3*c + 591, x - 5*c = -3*x - 790. Suppose -3*h - 2*t = -143, 5 = -t + 3. Calculate the remainder when h is divided by (x/12)/(-5)*4. 10 Suppose 3*b + 13 + 2 = 0. Let q(z) = -14*z - 6. Let n be q(b). Let j = n - 34. What is the remainder when j is divided by 8? 6 Calculate the remainder when (-5)/1 + 1156/4 is divided by 32. 28 Let t(z) = 2*z**3 + 21*z**2 + 9*z - 2. What is the remainder when 113 is divided by t(-10)? 1 Suppose 11*g - 6*g - 45 = 0. Suppose -2*r = -g - 17. Calculate the remainder when 63 is divided by r. 11 Suppose -13*o = -16*o + 558. Suppose -o = -0*h - 3*h. Calculate the remainder when h is divided by 13. 10 Let v = 2416 - 2294. Calculate the remainder when v is divided by 51. 20 What is the remainder when 154140/980 + (4/(-14) - 0) is divided by 34? 21 What is the remainder when -4 + (716/4 - 0) is divided by 60? 55 Let q = 40 - 18. Suppose -2*p - 4*j + q = -0*p, 0 = 2*p + 5*j - 22. Let u(m) = m**2 + 2*m - 5. What is the remainder when p is divided by u(-4)? 2 Suppose 3*b - s + 14 = 4*s, -2*s + 2 = 0. Calculate the remainder when 394/9 + 4/18 is divided by (b + 1)*(1 + -2 - 7). 12 Let u = -20 - -40. Suppose 0 = 2*k + 8 - u. Let r(a) = -a**2 - 4*a + 4. What is the remainder when k is divided by r(-4)? 2 Let s(u) = u**3 - 5*u**2 + 2*u + 7. Let w = -20 - -26. Suppose -w*b + 30 = -3*b. Calculate the remainder when s(5) is divided by b. 7 Suppose 4*w + 170 - 54 = 0. Let z = w + 47. Suppose 10*d - 1094 = -394. Calculate the remainder when d is divided by z. 16 What is the remainder when 853 is divided by (-1242)/(-66) + (-4)/(-22)? 17 Suppose -2*q + 1134 = 4*y, 0 = 4*q - 0*q + 5*y - 2271. Calculate the remainder when q is divided by 15. 14 Let r = -1663 + 1750. What is the remainder when 519 is divided by r? 84 Let r(t) = -3*t**2 - 3*t - 3. Let l be r(-4). Let j = 2 - 0. What is the remainder when 40 is divided by j/(-13) - 552/l? 12 Let h(n) = n**2 - 15*n + 17. Let r be h(14). Let l(w) = 6*w + 7*w**3 + 11*w**2 - 5 + r*w - 6*w**3. Calculate the remainder when 14 is divided by l(-10). 4 What is the remainder when (10/(-3) + 2)*7029/(-66) is divided by 5? 2 Suppose -4*p - 26 = -226. Suppose 2*j - p - 16 = 0. What is the remainder when j is divided by 18? 15 What is the remainder when 155 is divided by (-7 - (-6 - 54))/(1 - 0)? 49 Let y = -413 - -513. Calculate the remainder when y is divided by 87. 13 Suppose -93 + 1100 = 19*w. Calculate the remainder when 580 is divided by w. 50 Let l = -567 + 1432. What is the remainder when l is divided by 51? 49 Suppose -12*p - 111 = -351. Calculate the remainder when 878 is divided by p. 18 Let x be (-51)/(-3) - 8/(-4)*-1. Suppose x = m - 129. Calculate the remainder when m is divided by 49. 46 Let q(w) = 4*w**2 - 112*w + 232. Let g be (-12)/10*5/(-2). Suppose 4 = -2*t, -g*b - 4*t + 182 = -b. What is the remainder when b is divided by q(26)? 23 Let u be 319/44 + 3/4. Suppose 2*b + u*b = 230. Let k(t) = t**3 - t**2 + t + 2. Calculate the remainder when b is divided by k(2). 7 Suppose s = -l - 167, -5*l = -0*l - 20. Let r = -175 + 118. Let o = r - s. What is the remainder when o is divided by 23? 22 Suppose 3*g = 16 + 5. Let n = g + 16. Calculate the remainder when n is divided by (-1)/2 - (-187)/22. 7 Let o be 14/6 - (-22)/33. Let g = 10 + -7. Suppose o*n - 12 + g = 0. What is the remainder when 3 is divided by n? 0 Let s(y) = -y**2 - 17*y + 63. What is the remainder when 46 is divided by s(-20)? 1 Let q(d) = d**2 - 4*d + 4. Let j = -36 + 42. Let v = 14 - j. Calculate the remainder when v is divided by q(4). 0 Suppose 7*w - 157 - 32 = 0. What is the remainder when 105 is divided by w? 24 Let x(s) = 3*s + 398 - 8*s - 417. Calculate the remainder when 77 is divided by x(-9). 25 Let y be (-6)/9 + 3/((-18)/(-154)). Let s = y - 2. Calculate the remainder when s is divided by 5. 3 Let x(j) = 358*j**2 + 57*j + 56. What is the remainder when x(-1) is divided by 60? 57 Let o = -77 + 81. Suppose -o*j + 171 = -j. What is the remainder when j is divided by 20? 17 Suppose -9*t + 67 = -7*t + o, 5*t = -5*o + 170. What is the remainder when 263 is divided by t? 32 Suppose 4*b - b = -3*a + 24, -2*a + 5*b = 19. Suppose -5*n = -a*m + 26, n - 4*n = -3*m + 36. Calculate the remainder when m is divided by 3. 2 Let q = 23 - -34. Let o = -20 - -11. What is the remainder when q is divided by o/(-3)*-1*-5? 12 Suppose 0 = 7*j - 2*j - 4*z - 286, -3*z = -3. What is the remainder when j is divided by 12? 10 Suppose 0 = 2*j + 2*j + 4*f - 32, 3*j - f = 16. What is the remainder when (54/24)/(j/32) is divided by (-3 + -2)/(2/(-2))? 2 Suppose 4*h = 415 + 173. Calculate the remainder when h is divided by 0 - -1*(24 + 13). 36 Let y = 22 - 18. Suppose -5*w - 5*m + 590 = 0, -3*w + 436 - 75 = -y*m. What is the remainder when w is divided by 20? 19 Suppose -3*y = -138 - 96. Let v = -436 + 463. What is the remainder when y is divided by v? 24 Suppose q + 144 = 2*u - 4*q, 5*q + 20 = 0. Let h = 12976 + -12944. What is the remainder when u is divided by h? 30 Let b(m) = m**3 - 6*m - 3. Calculate the remainder when -1*1*1/(5/(-10)) is divided by b(-2). 0 Let t(p) = -2*p**3 + 24*p**2 - 17*p - 25. Calculate the remainder when 149 is divided by t(11). 29 Let p(d) = 77*d. Suppose -22*k = -23*k - 3*f + 17, 0 = k + 4*f - 14. Calculate the remainder when p(1) is divided by k. 25 Let k = -168 + 242. Calculate the remainder when k is divided by 15. 14 Suppose -11*g + 65 + 331 = 0. What is the remainder when 122 is divided by g? 14 Suppose 3*d + 358 = -512. Let j be (-32)/(-208) - d/(-26). Let h(r) = r**2 + 7*r + 8. What is the remainder when h(j) is divided by 18? 16 What is the remainder when 107 is divided by (-64)/(-10) + 34/(-85)? 5 Let a be ((-207)/12)/(6/(-24)). Suppose 4*h + 5*g - 92 = -0*g, a = 3*h + 5*g. Calculate the remainder when 68 is divided by h. 22 Let z(b) = b**3 + 6*b**2 + 7*b + 2. Let w be z(-3). What is the remainder when 187 + 4/w*-10 is divided by 46? 44 Let l = 3 - 1. Suppose l*b - 3*j - 21 = 0, -b + 3*b - j = 23. Let v(i) = 21*i - 268. Calculate the remainder when b is divided by v(13). 2 Let u = -39 + 71. Let p = u - 21. What is the remainder when 52 is divided by p? 8 Let j(p) be the first derivative of 0*p**2 + 21*p + 6 - 1/3*p**3. Calculate the remainder when j(0) is divided by 6. 3 What is the remainder when -3*4*(-123)/18 is divided by (-13 - -14)/(2/56)? 26 Suppose 5418 = 20*i - 2*i. Calculate the remainder when i is divided by 16. 13 Suppose 25*d + 225 = 34*d. Calculate the remainder when d is divided by 9. 7 Suppose -2*g + 2*i = 36, -9*g - 86 = -5*g + 3*i. What is the remainder when 256/10 - 4/(-10) is divided by (-4)/g - (-69)/5? 12 What is the remainder when 139 + ((-6)/42 - (-45)/21) is divided by 37? 30 Let s = 422 + -416. What is the remainder when 153 is divided by s? 3 Suppose 5*q + 58 = 543. What is the remainder when q is divided by 25? 22 Suppose -c = 2*k - 3*k - 3, 16 = 4*c - 5*k. Calculate the remainder when 24 is divided by (-9)/((-45)/20) - c*3. 3 Let a be (-6)/3*33/(-2). Let j = a + -17. Calculate the remainder when 73 is divided by j. 9 Suppose 4*y - 24 = -24*q + 28*q, -5*q - 22 = -4*y. Suppose w - 5*g = 3*w + 131, 2*g = 4*w + 322. Let c = 117 + w. What is the remainder when c is divided by y? 7 Suppose 5*z - 4 = r, 5*r - r = 4*z + 16. Suppose -1 = -a + 11. What is the remainder when 3834/81 + (-2)/(r - 0) is divided by a? 11 Suppose -3*v + 1515 = 2*v. Suppose -190 = -2*z - 5*c, 2*c = -3*z - c + v. What is the remainder when z is divided by 27? 24 Let x be 29/(-3) - (1 - (-15)/(-9)). What is the remainder when 1*(-123)/x*3 is divided by 11? 8 Let f = -43 - -111. What is the remainder when f is divided by ((-3080)/(-91) - 11) + 2/13? 22 Let m = 55 - 12. Let g = 63 - 50. Let t = 2 + g. Calculate the remainder when m is divided by t. 13 Let l = -260 + 384. Calculate the remainder when l is divided by (-48)/((-1)/4*6). 28 Let b(q) = q + 2. Suppose 4*h + t - 38 - 296 = 0, -5*t - 178 = -2*h. Let j = h - 48. What is the remainder when j is divided by b(11)? 10 Suppose 0 = k + 2*x - 3 - 72, 0 = -2*k + 5*x + 114. What is the remainder when k is divided by 7? 4 Let d = 27 + 32. What is the remainder w
{ "pile_set_name": "DM Mathematics" }
s the hundred thousands digit of 14401763? 4 What is the units digit of 48989? 9 What is the tens digit of 220283? 8 What is the thousands digit of 5033060? 3 What is the tens digit of 48385? 8 What is the millions digit of 2101239? 2 What is the hundreds digit of 4594887? 8 What is the units digit of 453038? 8 What is the units digit of 4926255? 5 What is the tens digit of 734128? 2 What is the ten thousands digit of 1552504? 5 What is the tens digit of 3833120? 2 What is the units digit of 313769? 9 What is the tens digit of 2246850? 5 What is the thousands digit of 179350? 9 What is the millions digit of 3529965? 3 What is the ten thousands digit of 140916? 4 What is the hundreds digit of 69622? 6 What is the ten thousands digit of 24330215? 3 What is the ten thousands digit of 2916632? 1 What is the tens digit of 490957? 5 What is the thousands digit of 352991? 2 What is the hundred thousands digit of 10984094? 9 What is the ten thousands digit of 659969? 5 What is the ten thousands digit of 568900? 6 What is the units digit of 229837? 7 What is the ten thousands digit of 6598174? 9 What is the ten thousands digit of 8860393? 6 What is the thousands digit of 203717? 3 What is the millions digit of 3041926? 3 What is the units digit of 995363? 3 What is the tens digit of 165892? 9 What is the hundred thousands digit of 4387390? 3 What is the tens digit of 156354? 5 What is the hundred thousands digit of 3755361? 7 What is the hundreds digit of 87069? 0 What is the millions digit of 1796059? 1 What is the hundreds digit of 136306? 3 What is the ten thousands digit of 559233? 5 What is the thousands digit of 49208? 9 What is the thousands digit of 719918? 9 What is the millions digit of 1165040? 1 What is the hundred thousands digit of 281955? 2 What is the millions digit of 7582433? 7 What is the ten thousands digit of 5574745? 7 What is the thousands digit of 3162548? 2 What is the hundred thousands digit of 5741066? 7 What is the hundreds digit of 76340? 3 What is the hundreds digit of 13405049? 0 What is the tens digit of 124776? 7 What is the thousands digit of 143570? 3 What is the tens digit of 8703? 0 What is the units digit of 16994925? 5 What is the thousands digit of 3191953? 1 What is the ten thousands digit of 9584584? 8 What is the hundred thousands digit of 396879? 3 What is the units digit of 44063? 3 What is the ten thousands digit of 5435523? 3 What is the thousands digit of 436155? 6 What is the thousands digit of 183103? 3 What is the ten thousands digit of 2665806? 6 What is the hundred thousands digit of 1086994? 0 What is the millions digit of 1252996? 1 What is the hundred thousands digit of 939105? 9 What is the ten thousands digit of 202310? 0 What is the hundreds digit of 21988269? 2 What is the units digit of 3155237? 7 What is the hundred thousands digit of 149631? 1 What is the hundred thousands digit of 221165? 2 What is the units digit of 4982299? 9 What is the tens digit of 4791837? 3 What is the hundred thousands digit of 1059205? 0 What is the thousands digit of 4644131? 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2 What is the hundred thousands digit of 1850079? 8 What is the ten thousands digit of 350513? 5 What is the thousands digit of 804114? 4 What is the tens digit of 1013886? 8 What is the hundred thousands digit of 372954? 3 What is the hundreds digit of 331267? 2 What is the ten thousands digit of 3314568? 1 What is the hundreds digit of 161925? 9 What is the units digit of 9? 9 What is the thousands digit of 1281246? 1 What is the tens digit of 148489? 8 What is the ten thousands digit of 43354? 4 What is the tens digit of 596171? 7 What is the hundred thousands digit of 5834135? 8 What is the tens digit of 14707149? 4 What is the ten thousands digit of 236747? 3 What is the millions digit of 12279096? 2 What is the hundred thousands digit of 819191? 8 What is the units digit of 1000090? 0 What is the hundreds digit of 357862? 8 What is the ten thousands digit of 411090? 1 What is the ten thousands digit of 1175862? 7 What is the units digit of 1493875? 5 What is the ten thousands digit of 2804151? 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7 What is the tens digi
{ "pile_set_name": "DM Mathematics" }
(u(v))? 226*v Let z(j) = 1 - 1 + 1523*j**2 - 1482*j**2. Let n(w) = 6*w. Calculate z(n(v)). 1476*v**2 Let g(b) = -2*b**2. Let z be 8/5 - (-5 + (-69)/(-15)). Let u(y) = -15*y**z + 4*y**2 - 32*y**2. Determine u(g(o)). -172*o**4 Let i(y) be the first derivative of 11*y**2/2 - 46. Let p(h) = 4*h. Calculate p(i(l)). 44*l Let d(a) be the second derivative of -a**3/2 - 5*a. Let x(f) = 2*f - 3*f + 2*f. Calculate x(d(c)). -3*c Let u(x) = -x**2. Suppose g - 4*m = 2, -1 = g + 2*m - 3. Let n(q) = 3*q**g - 89*q + 89*q + q**2. Give u(n(c)). -16*c**4 Let g(o) = 1025*o**2 + 325*o + 325. Let m(q) = 19*q**2 + 6*q + 6. Let i(w) = 6*g(w) - 325*m(w). Let a(r) = 2*r. What is a(i(l))? -50*l**2 Let d(h) = 80*h. Let q(w) = -12*w - 10. Let x(f) = -6*f - 4. Let y(b) = -2*q(b) + 5*x(b). Calculate y(d(m)). -480*m Let n(d) be the second derivative of 5/6*d**4 + 0*d**2 + 0 + 0*d**3 + 7*d. Let r(v) = -2*v**2. What is n(r(q))? 40*q**4 Let y(z) = 2*z. Let c(s) = -s - 5. Let r(q) = -4. Let p be 2/1*(2 - 3). Let h be (p/1 - -3)*5. Let u(i) = h*r(i) - 4*c(i). Give y(u(f)). 8*f Let c(k) = -k - 334017. Let j(x) = x**2. Determine c(j(d)). -d**2 - 334017 Let h(t) = -t. Let y(w) = -512*w + 20. Let u(m) = 1023*m - 44. Let p(q) = 5*u(q) + 11*y(q). Calculate h(p(b)). 517*b Let c(n) = 2165 - 6*n - 2165. Let m(z) be the second derivative of -z**4/4 + 2*z. Determine c(m(t)). 18*t**2 Let h(w) = w**2. Let o(y) be the third derivative of y**6/720 + 5*y**4/24 + 2*y**2. Let v(s) be the second derivative of o(s). What is h(v(r))? r**2 Let t(m) = -20*m**2. Let k(y) = 4*y - 3. Let a(h) be the third derivative of h**4/8 - h**3/3 - 38*h**2. Let s(q) = -6*a(q) + 4*k(q). What is t(s(v))? -80*v**2 Let d(u) = -8*u**2 + 5*u + 5. Let a(k) = 40*k**2 - 24*k - 24. Let f(h) = 5*a(h) + 24*d(h). Let g(x) = -19*x. Give g(f(r)). -152*r**2 Let y(d) = -8*d - 252. Let j(t) = -5*t. Calculate y(j(w)). 40*w - 252 Let b(z) = -6*z**2. Let s(o) be the third derivative of -o**4/3 + o**2. Calculate b(s(v)). -384*v**2 Let f(y) be the second derivative of 27*y + 0*y**2 + 0*y**3 + 0 - 1/12*y**4. Let x(u) = -9*u**2. What is f(x(p))? -81*p**4 Let l(y) = -5*y. Let h(p) be the third derivative of -2*p**2 + 0 + 0*p**4 + 15*p + 1/12*p**5 + 0*p**3. Determine h(l(w)). 125*w**2 Let j(o) = -10*o. Let x(z) = 6*z. Let c(g) = 5*j(g) + 8*x(g). Let l(h) = -7*h. Determine l(c(b)). 14*b Let n(w) = 1814*w - 4. Let z(x) = -66*x. Determine z(n(g)). -119724*g + 264 Let v(g) = -g**2. Let p(s) = 4*s - 22. Let b be p(6). Let c(d) = -54*d**b - 49*d**2 + 94*d**2. What is v(c(q))? -81*q**4 Let i(p) = -1 + 4*p - 35*p - 12*p + 5*p - 29*p. Let v(b) = 2*b. Give v(i(y)). -134*y - 2 Let l(s) = 43*s. Let i(j) be the third derivative of -j**5/60 - 54*j**2. Determine i(l(k)). -1849*k**2 Let p(b) = -14*b. Let z(u) = u**2 - 6*u - 4. Determine p(z(n)). -14*n**2 + 84*n + 56 Let b(f) = -522*f. Let l(a) = -1 - 9 - 2*a - 3 + 13. Calculate b(l(d)). 1044*d Let n(j) = 9*j**2 + 3*j. Let m(h) = 60*h - 1. Calculate n(m(p)). 32400*p**2 - 900*p + 6 Let p(v) be the third derivative of v**4/24 + 16*v**2. Let m(b) = -b. Let t(x) = 5*m(x) + 4*p(x). Let w(k) = 20*k. Determine w(t(h)). -20*h Let i(h) = -2*h. Let f(g) = 27162*g**2. Calculate i(f(l)). -54324*l**2 Let x(j) = -88*j. Let v(q) = -7*q - 3*q + 8*q. Let p(f) = 2*f. Let n(t) = 3*p(t) + 2*v(t). Calculate x(n(k)). -176*k Let t(p) be the second derivative of 3*p**2 - 1/8*p**4 + 10*p + 0 + 0*p**3. Let b(s) be the first derivative of t(s). Let w(l) = 2*l. Determine w(b(o)). -6*o Let i(d) = -7*d + 62. Let m(a) = -2*a**2. Calculate m(i(g)). -98*g**2 + 1736*g - 7688 Let p(j) = -j - 3. Let c be p(-5). Let m(a) = -3*a - 11*a**c + 3*a + 8*a**2. Let k(h) = h**2 + 0*h**2 + 3*h**2. Determine m(k(z)). -48*z**4 Let a(s) = -18*s + 2. Let d(y) = 95*y - 11. Let f(k) = 22*a(k) + 4*d(k). Let n(u) = -5*u**2 - 7*u. Determine f(n(b)). 80*b**2 + 112*b Let z(k) = 148*k**2. Let p(b) = 43 - 113 - 2*b**2 + 28 + 42. Give z(p(t)). 592*t**4 Let d(c) = c. Let l(t) = -83 - 2*t + 127 + 28. Calculate d(l(w)). -2*w + 72 Let h(f) be the third derivative of f**7/840 - 5*f**4/24 - 11*f**2. Let w(d) be the second derivative of h(d). Let t(l) = l**2 + 3 - 3. Determine t(w(j)). 9*j**4 Let x(a) = a - 2. Suppose 3*f - 2 + 11 = 0. Let h(j) = 1. Let q(u) = f*x(u) - 6*h(u). Let o(v) = -2*v. Determine q(o(y)). 6*y Let b(q) = -205 - 20*q + 69 + 71 + 65. Let z(l) = -4*l**2 - 5. Let d(p) = -6*p**2 - 8. Let f(g) = 5*d(g) - 8*z(g). Give b(f(w)). -40*w**2 Let n(c) be the third derivative of -2*c**2 - 1/12*c**4 + 0 + 0*c**3 + 0*c. Let i(l) = -6 - 14 + 20 - 3*l. Determine i(n(t)). 6*t Let a(f) = -2*f**2. Let z(r) be the second derivative of -3*r + 0*r**3 + 0*r**2 - 2 + 49/12*r**4. Calculate z(a(w)). 196*w**4 Let t(n) = 6*n**2 - 5*n. Let d(l) = -26*l + 4. Determine t(d(f)). 4056*f**2 - 1118*f + 76 Let y(n) = -86 + 3*n + 86. Suppose 0 = -2*i + 3*v + 96, -4*i + 135 + 89 = 2*v. Let a(j) = -54 + 6*j**2 + i. Calculate a(y(c)). 54*c**2 Let x(b) be the third derivative of -b**5/15 - 11*b**2 - 1. Let w(j) = -4*j**2. Calculate w(x(g)). -64*g**4 Let r(t) = -7*t**2. Let w(o) be the first derivative of 4*o**3 + 82. Calculate w(r(m)). 588*m**4 Let r(k) = -3*k. Let a(u) = 10*u + 8*u + 13*u - 35*u. Determine r(a(y)). 12*y Let y(a) = -a**2. Let i(c) = -157740*c. What is i(y(j))? 157740*j**2 Let u(l) = -l. Let h(a) = -1568*a**2 - a. What is h(u(r))? -1568*r**2 + r Let v(g) = -2*g. Let o(w) = 67*w**2 - 175*w**2 - 224*w**2. Determine o(v(i)). -1328*i**2 Suppose -x - 2 = -2*b - 0, 0 = 3*x - 2*b - 2. Let q(l) = 9*l**2 - x*l**2 - 5*l**2. Let m(i) be the second derivative of -i**3/3 - 6*i. Determine m(q(d)). -4*d**2 Let b(g) = 2481 - 2481 + 2*g**2. Let d(s) = 2 - 19*s + 0*s - 20*s - 7*s. Determine b(d(t)). 4232*t**2 - 368*t + 8 Let a(c) = -1 + 2*c + 3 + 0 - 4. Let o(u) = -7*u + 9. Let d(x) = 18*a(x) + 4*o(x). Let y(g) = -g**2. What is d(y(t))? -8*t**2 Let c(a) = -a. Let k(s) be the first derivative of -4 + 0*s**3 + 1/6*s**5 - 1/2*s**2 + 0*s**4 + 0*s. Let r(t) be the second derivative of k(t). What is r(c(x))? 10*x**2 Let y(u) = -u. Let c(o) = -1343723*o**2. What is y(c(k))? 1343723*k**2 Let i(p) = -22*p. Let x(j) = j**2 + 4*j + 1. Let d(u) = 42*u**2 + 84*u + 21. Let n(s) = d(s) - 21*x(s). What is i(n(a))? -462*a**2 Let h(q) = 2*q. Let d(x) = 2016*x - 12. Give h(d(a)). 4032*a - 24 Let n(r) = 287136*r**2. Let j(m) = -3*m. Give n(j(s)). 2584224*s**2 Let q(n) = 15*n - 13*n**2 + 26*n - 41*n. Let k(d) = -32*d. Determine k(q(x)). 416*x**2 Let n(o) = 2417*o**2. Let k(t) = 263*t**2 - 2*t. Give k(n(i)). 1536416807*i**4 - 4834*i**2 Let o(q) be the third derivative of q**5/20 + 2*q**2 + 5*q. Let g(f) = -26*f**2. Calculate g(o(x)). -234*x**4 Let q(p) = -p + 9. Let l be q(7). Let v = 4 + -4. Let x(k) = v*k - 1 + 1 + l*k. Let s(r) = -6*r**2. What is s(x(a))? -24*a**2 Let f(p) = 4*p**2. Let s be (-5 + -11)*(-3)/12. Let w(h) = s*h**2 + 9*h**2 - 7*h**2. Calculate w(f(u)). 96*u**4 Let d(w) be the third derivative of -23*w**5/30 + 2*w**2. Let v(c) be the second derivative of c**3/6 + 2*c - 610. Give v(d(x)). -46*x**2 Let c(s) = 3*s**2. Let f(v) = -384 - v - 2*v + 430 + 5*v + 0*v. Calculate f(c(g)). 6*g**2 + 46 Let l(a) = -a. Let s(g) = 51*g**2 - 4*g. Let d(w) = -4*w**2 - w. Let c(b) = -4*d(b) + s(b). Give l(c(n)). -67*n**2 Let a(h) = -17*h + 18. Let t(z) = -2*z + 2. Let m(p) = -4*a(p) + 36*t(p). Let n(w) = -15*w**2. Give m(n(r)). 60*r**2 Let u(t) = 77311*t. Let c(f) = 2*f. What is c(u(d))? 154622*d Let h(w) be the first derivative of 2*w**2 - 3. Let g(n) = 4*n + 2. Let d(s) = s + 1. Suppose -2*j + 4 = 2*j. Let t(c) = j*g(c) - 2*d(c). Give h(t(u)). 8*u Let m(f) = -2*f - 6. Let j be m(-4). Let s(i) = -5*i**2 - 2 + j. Let g(r) = -21*r - 2. Let p(a) = 10*a + 1. Let v(k) = 2*g(k) + 4*p(k). What is s(v(l))? -20*l**2 Let i(o) = -164*o - 34. Let p(l) = l. Give i(p(d)). -164*d - 34 Let t(a) = -58394*a**2. Let h(m) = 5*m**2. Calculate h(t(p)). 17049296180*p**4 Let z(o) = 17*o**2. Let f(s) = -742*s**2. Give f(z(w)). -214438*w**4 Let w = -7 - 6. Let u(d) = 2*d - 13. Let h(x) = -2*x + 25 + 3*x - 31. Let l(q) = w*h(q) + 6*u(q). Let p(n) = -5*n. Give p(l(a)). 5*a Let x(k) = 6*k**2 + 13*k**2 + 12*k**2 - 33*k**2. Let h(n) = 55*n - 5. Determine h(x(m)). -110*m**2 - 5 Let y(d) = 7*d**2. Let j(l) be the third derivative of 7*l**5/60 + 196*l*
{ "pile_set_name": "DM Mathematics" }
/380 Four letters picked without replacement from xxggxxx. What is prob of sequence xxgx? 1/7 Two letters picked without replacement from tfwwz. Give prob of sequence tz. 1/20 Two letters picked without replacement from {z: 1, m: 1, t: 5, i: 1, a: 9}. Give prob of sequence it. 5/272 Two letters picked without replacement from {r: 3, k: 3, z: 4, e: 6, v: 2}. Give prob of sequence ek. 1/17 Two letters picked without replacement from lluulul. What is prob of sequence lu? 2/7 Three letters picked without replacement from {p: 3, r: 4, c: 7}. What is prob of sequence rcp? 1/26 Calculate prob of sequence edv when three letters picked without replacement from {v: 2, d: 4, e: 3}. 1/21 Four letters picked without replacement from sfjs. What is prob of sequence sjjj? 0 Three letters picked without replacement from {c: 3, p: 3, a: 2}. What is prob of sequence pcp? 3/56 What is prob of sequence mr when two letters picked without replacement from {m: 7, r: 1}? 1/8 Two letters picked without replacement from {k: 2, d: 1, s: 1, a: 1, f: 2, b: 1}. What is prob of sequence af? 1/28 Four letters picked without replacement from eeueeoeueeouoo. Give prob of sequence ouue. 1/143 Calculate prob of sequence uu when two letters picked without replacement from {u: 1, l: 12, x: 5}. 0 Three letters picked without replacement from gtgggttgguugggggg. Give prob of sequence tgu. 3/170 Two letters picked without replacement from {g: 1, x: 2, z: 2, t: 4, p: 3}. What is prob of sequence zx? 1/33 Three letters picked without replacement from mjfqllmf. Give prob of sequence fll. 1/84 Two letters picked without replacement from {v: 2, l: 11}. What is prob of sequence lv? 11/78 Two letters picked without replacement from lllp. What is prob of sequence pl? 1/4 What is prob of sequence hh when two letters picked without replacement from {h: 19, r: 1}? 9/10 Two letters picked without replacement from {n: 5, b: 2, y: 9, p: 3}. Give prob of sequence bn. 5/171 Calculate prob of sequence xyy when three letters picked without replacement from yxxzzxxxzy. 1/72 What is prob of sequence vi when two letters picked without replacement from {i: 1, v: 1, b: 1}? 1/6 Four letters picked without replacement from {j: 6, r: 2, f: 9}. What is prob of sequence rjrj? 1/952 Three letters picked without replacement from lllglllpllplbeepega. Give prob of sequence glp. 3/323 Three letters picked without replacement from {j: 1, q: 1, g: 3, u: 3, c: 2, w: 2}. What is prob of sequence uwj? 1/220 Four letters picked without replacement from zuzuzuvzruzuzbrubz. What is prob of sequence ubuz? 7/1224 What is prob of sequence ff when two letters picked without replacement from {l: 5, f: 8}? 14/39 Two letters picked without replacement from qqqqqtaqqaqqqqaqq. Give prob of sequence qq. 39/68 Two letters picked without replacement from {p: 2, l: 4, e: 4, d: 1, f: 2, r: 1}. Give prob of sequence rl. 2/91 Four letters picked without replacement from {i: 8, k: 2, w: 1, b: 5, n: 1}. What is prob of sequence knbb? 1/1428 Two letters picked without replacement from ouuuo. Give prob of sequence uo. 3/10 Two letters picked without replacement from aaawwawawwww. What is prob of sequence aa? 5/33 What is prob of sequence jn when two letters picked without replacement from {x: 12, n: 1, j: 3}? 1/80 What is prob of sequence zzg when three letters picked without replacement from {z: 3, g: 2, h: 4}? 1/42 Calculate prob of sequence dk when two letters picked without replacement from mkdkmkmmkkqkk. 7/156 Calculate prob of sequence iini when four letters picked without replacement from iniiiiiiiiiii. 1/13 Calculate prob of sequence gttg when four letters picked without replacement from {z: 1, t: 8, b: 1, g: 9}. 14/323 Four letters picked without replacement from jgwwwgwjwg. What is prob of sequence gjwj? 1/168 Two letters picked without replacement from nnppknnnkp. Give prob of sequence pn. 1/6 Two letters picked without replacement from lllllll. What is prob of sequence ll? 1 Four letters picked without replacement from ooooooooooqo. What is prob of sequence oooq? 1/12 Calculate prob of sequence eprc when four letters picked without replacement from {c: 1, r: 2, f: 1, p: 2, e: 8}. 4/3003 Calculate prob of sequence aaa when three letters picked without replacement from {s: 10, z: 1, a: 6}. 1/34 Two letters picked without replacement from urvrq. Give prob of sequence qr. 1/10 Calculate prob of sequence ka when two letters picked without replacement from {a: 5, k: 3, e: 2}. 1/6 Four letters picked without replacement from hhnhhhhnhnhnhh. Give prob of sequence nnhh. 45/1001 What is prob of sequence fy when two letters picked without replacement from {f: 3, y: 5}? 15/56 Calculate prob of sequence iie when three letters picked without replacement from {r: 5, i: 4, e: 3}. 3/110 What is prob of sequence gz when two letters picked without replacement from gggvvgggzvggggg? 11/210 What is prob of sequence ai when two letters picked without replacement from {j: 1, a: 2, z: 1, i: 1, c: 2}? 1/21 Four letters picked without replacement from svvpqcvpcqvpcqvvvv. What is prob of sequence vvsv? 7/1530 What is prob of sequence zziz when four letters picked without replacement from {z: 5, i: 8}? 4/143 Three letters picked without replacement from anxnxfarxx. What is prob of sequence naf? 1/180 Three letters picked without replacement from {v: 2, j: 3}. Give prob of sequence vjv. 1/10 Two letters picked without replacement from {d: 7, p: 4, g: 4, a: 3, l: 1}. What is prob of sequence lp? 2/171 What is prob of sequence pp when two letters picked without replacement from {p: 3, a: 4}? 1/7 Calculate prob of sequence wpmy when four letters picked without replacement from {y: 6, p: 7, j: 2, w: 1, m: 1}. 1/1360 Four letters picked without replacement from bbxgrbrxgbxqhbgrrbq. Give prob of sequence hbgr. 1/1292 Two letters picked without replacement from qennpphppndnn. Give prob of sequence qn. 5/156 Calculate prob of sequence kl when two letters picked without replacement from {l: 1, k: 2, p: 2}. 1/10 Three letters picked without replacement from tttvvtttttttttztt. Give prob of sequence ttt. 91/170 Calculate prob of sequence kssx when four letters picked without replacement from lkkjslxlsk. 1/840 What is prob of sequence ktk when three letters picked without replacement from tkttktk? 4/35 Two letters picked without replacement from egegegeb. What is prob of sequence eg? 3/14 What is prob of sequence pyz when three letters picked without replacement from pzpzzzyzktkyxpypzkk? 4/323 Two letters picked without replacement from {u: 5, q: 7}. Give prob of sequence uu. 5/33 Calculate prob of sequence tty when three letters picked without replacement from {w: 6, y: 8, t: 3}. 1/85 What is prob of sequence wcw when three letters picked without replacement from {w: 4, c: 6}? 1/10 Four letters picked without replacement from {l: 1, r: 4, f: 4, n: 1, w: 1}. Give prob of sequence lwln. 0 Calculate prob of sequence mmm when three letters picked without replacement from mbmbbmbbbbmbm. 5/143 Three letters picked without replacement from {d: 7, t: 12}. Give prob of sequence ddd. 35/969 Four letters picked without replacement from {k: 13, e: 3}. Give prob of sequence keek. 3/140 Calculate prob of sequence er when two letters picked without replacement from elrel. 1/10 Two letters picked without replacement from {w: 4, v: 1, s: 2, t: 2}. What is prob of sequence ts? 1/18 Two letters picked without replacement from ssysststsym. Give prob of sequence ym. 1/55 Four letters picked without replacement from amaajmmmaaagammaaaa. What is prob of sequence mjam? 55/15504 Calculate prob of sequence pq when two letters picked without replacement from {q: 1, v: 1, p: 1}. 1/6 What is prob of sequence ssk when three letters picked without replacement from kpsisrrississ? 5/286 Four letters picked without replacement from {u: 1, a: 4, o: 3, b: 3, z: 3, m: 2}. Give prob of sequence bumb. 1/3640 Two letters picked without replacement from ary. What is prob of sequence ar? 1/6 Four letters picked without replacement from fleejrkl. Give prob of sequence kjee. 1/840 What is prob of sequence svs when three letters picked without replacement from {n: 2, u: 1, v: 1, s: 3}? 1/35 Four letters picked wit
{ "pile_set_name": "DM Mathematics" }
ivided by 1934? 48 Calculate the remainder when 8436 is divided by 154. 120 What is the remainder when 76231 is divided by 26? 25 What is the remainder when 19467547 is divided by 629? 626 What is the remainder when 24515 is divided by 50? 15 Calculate the remainder when 298331 is divided by 6215. 11 What is the remainder when 7572 is divided by 159? 99 What is the remainder when 15310 is divided by 5093? 31 Calculate the remainder when 1921444 is divided by 156. 148 Calculate the remainder when 156320 is divided by 374. 362 Calculate the remainder when 1786 is divided by 71. 11 What is the remainder when 8679 is divided by 2825? 204 What is the remainder when 3178 is divided by 261? 46 What is the remainder when 115159 is divided by 57573? 13 Calculate the remainder when 32831 is divided by 342. 341 Calculate the remainder when 43730 is divided by 10. 0 Calculate the remainder when 2851 is divided by 365. 296 What is the remainder when 461059 is divided by 20? 19 What is the remainder when 13710 is divided by 1232? 158 What is the remainder when 182479 is divided by 205? 29 What is the remainder when 143033 is divided by 69? 65 Calculate the remainder when 45389 is divided by 31. 5 Calculate the remainder when 13926 is divided by 18. 12 Calculate the remainder when 3047 is divided by 1158. 731 Calculate the remainder when 16735 is divided by 2788. 7 What is the remainder when 2633 is divided by 13? 7 What is the remainder when 4918849 is divided by 10? 9 What is the remainder when 10753 is divided by 3528? 169 Calculate the remainder when 217 is divided by 61. 34 What is the remainder when 10786 is divided by 979? 17 Calculate the remainder when 141468 is divided by 301. 299 Calculate the remainder when 102872 is divided by 33. 11 What is the remainder when 72041 is divided by 948? 941 Calculate the remainder when 72699 is divided by 283. 251 What is the remainder when 807 is divided by 118? 99 Calculate the remainder when 15971 is divided by 38. 11 What is the remainder when 2176 is divided by 138? 106 What is the remainder when 35886 is divided by 619? 603 Calculate the remainder when 5419 is divided by 187. 183 What is the remainder when 6431 is divided by 1432? 703 Calculate the remainder when 8558 is divided by 214. 212 Calculate the remainder when 117701 is divided by 420. 101 Calculate the remainder when 6631 is divided by 19. 0 What is the remainder when 269163 is divided by 57? 9 What is the remainder when 168068 is divided by 47? 43 Calculate the remainder when 2088 is divided by 751. 586 Calculate the remainder when 12696 is divided by 6239. 218 Calculate the remainder when 3262 is divided by 219. 196 Calculate the remainder when 44858 is divided by 140. 58 Calculate the remainder when 38941 is divided by 12966. 43 What is the remainder when 683631 is divided by 94? 63 Calculate the remainder when 412 is divided by 39. 22 What is the remainder when 77147 is divided by 38568? 11 What is the remainder when 101574 is divided by 1181? 8 Calculate the remainder when 394397 is divided by 53. 24 Calculate the remainder when 59900 is divided by 29945. 10 Calculate the remainder when 127067 is divided by 115. 107 Calculate the remainder when 4803 is divided by 1405. 588 Calculate the remainder when 331316 is divided by 165641. 34 What is the remainder when 31941 is divided by 168? 21 Calculate the remainder when 473 is divided by 88. 33 What is the remainder when 1833 is divided by 535? 228 What is the remainder when 1079 is divided by 230? 159 What is the remainder when 375946 is divided by 177? 175 Calculate the remainder when 28832 is divided by 1270. 892 What is the remainder when 1706 is divided by 1517? 189 What is the remainder when 5823 is divided by 5822? 1 What is the remainder when 1323479 is divided by 410? 409 Calculate the remainder when 62774 is divided by 25. 24 Calculate the remainder when 1732 is divided by 224. 164 Calculate the remainder when 44535 is divided by 3421. 62 What is the remainder when 12264 is divided by 62? 50 What is the remainder when 9367 is divided by 388? 55 What is the remainder when 1058 is divided by 25? 8 What is the remainder when 45138 is divided by 15046? 0 Calculate the remainder when 164987 is divided by 35. 32 Calculate the remainder when 25488 is divided by 708. 0 What is the remainder when 2745107 is divided by 6? 5 What is the remainder when 2749 is divided by 351? 292 What is the remainder when 194107 is divided by 9702? 67 Calculate the remainder when 2371920 is divided by 281. 280 Calculate the remainder when 11190 is divided by 361. 360 What is the remainder when 58173 is divided by 173? 45 Calculate the remainder when 25700919 is divided by 31. 28 What is the remainder when 169345 is divided by 37? 33 Calculate the remainder when 1040336 is divided by 27. 26 Calculate the remainder when 10254 is divided by 5103. 48 What is the remainder when 47940 is divided by 2820? 0 Calculate the remainder when 445268 is divided by 5003. 1 Calculate the remainder when 1626 is divided by 441. 303 What is the remainder when 610658 is divided by 19? 17 What is the remainder when 136763 is divided by 2? 1 Calculate the remainder when 14399 is divided by 202. 57 Calculate the remainder when 130786 is divided by 10. 6 Calculate the remainder when 21897 is divided by 146. 143 What is the remainder when 38095 is divided by 73? 62 What is the remainder when 53751 is divided by 164? 123 Calculate the remainder when 44666 is divided by 1353. 17 What is the remainder when 6172 is divided by 5869? 303 Calculate the remainder when 24826 is divided by 90. 76 What is the remainder when 69810 is divided by 34860? 90 Calculate the remainder when 9385 is divided by 3094. 103 Calculate the remainder when 19840 is divided by 451. 447 What is the remainder when 2823 is divided by 14? 9 Calculate the remainder when 1046 is divided by 348. 2 What is the remainder when 14878 is divided by 15? 13 Calculate the remainder when 14727 is divided by 327. 12 What is the remainder when 8235 is divided by 516? 495 What is the remainder when 80424 is divided by 15? 9 Calculate the remainder when 1899 is divided by 1886. 13 Calculate the remainder when 6217 is divided by 239. 3 Calculate the remainder when 189324 is divided by 669. 666 What is the remainder when 643 is divided by 37? 14 Calculate the remainder when 571733 is divided by 207. 206 Calculate the remainder when 7859 is divided by 114. 107 What is the remainder when 65409 is divided by 175? 134 What is the remainder when 1733 is divided by 806? 121 What is the remainder when 35408 is divided by 156? 152 What is the remainder when 21925 is divided by 3132? 1 Calculate the remainder when 14597 is divided by 4862. 11 Calculate the remainder when 22550 is divided by 22547. 3 Calculate the remainder when 1950397 is divided by 115. 112 What is the remainder when 8099 is divided by 38? 5 Calculate the remainder when 9373 is divided by 493. 6 Calculate the remainder when 40461 is divided by 10. 1 What is the remainder when 5143 is divided by 66? 61 Calculate the remainder when 70353 is divided by 317. 296 What is the remainder when 1348 is divided by 1166? 182 What is the remainder when 29121 is divided by 260? 1 Calculate the remainder when 57810 is divided by 57775. 35 What is the remainder when 7500 is divided by 2316? 552 Calculate the remainder when 42443 is divided by 19. 16 What is the remainder when 58697 is divided by 29303? 91 What is the remainder when 2662 is divided by 311? 174 Calculate the remainder when 37049 is divided by 2315. 9 Calculate the remainder when 248253 is divided by 1030. 23 Calculate the remainder when 1628 is divided by 5. 3 What is the remainder when 7916 is divided by 464? 28 Calculate the remainder when 210 is divided by 116. 94 What is the remainder when 395860 is divided by 197925? 10 What is the remainder when 63897 is divided by 1521? 15 Calculate the remainder when 6172 is divided by 26. 10 What is the remainder when 378933 is divided by 1108? 1105 What is the remainder when 617 is divided by 295? 27 What is the remainder when 6708 is divided by 42? 30 Calculate the remainder when 30439 is divided by 30429. 10 Calculate the remainder wh
{ "pile_set_name": "DM Mathematics" }
01 (base 12) to base 10 -2593 Convert 11110010100 (base 2) to base 15. 895 Convert -111110111100 (base 2) to base 13. -1aab What is 97a8 (base 11) in base 6? 135532 Convert 29d (base 16) to base 10. 669 What is -89dd (base 15) in base 4? -13020301 What is 100211 (base 3) in base 6? 1121 Convert -311114 (base 5) to base 9. -14837 What is -31564 (base 8) in base 9? -20055 What is -1001101 (base 2) in base 7? -140 What is 1303 (base 10) in base 16? 517 What is -5435 (base 6) in base 3? -1201012 What is 526 (base 8) in base 4? 11112 What is 100010000011 (base 2) in base 16? 883 Convert 122120 (base 3) to base 14. 25c -5117 (base 11) to base 9 -10278 What is 221002 (base 3) in base 15? 302 Convert -403 (base 12) to base 15. -289 Convert -2221011 (base 3) to base 13. -c85 Convert -2176 (base 8) to base 2. -10001111110 What is -30663 (base 11) in base 9? -67306 -61b (base 14) to base 8 -2261 Convert 240240 (base 5) to base 6. 104500 3de (base 15) to base 12 618 Convert -35502 (base 8) to base 11. -10441 20213 (base 5) to base 14 696 Convert 11303 (base 4) to base 15. 19b Convert 19327 (base 10) to base 8. 45577 Convert -360 (base 9) to base 12. -209 Convert -63d (base 15) to base 14. -728 Convert -e13 (base 15) to base 8. -6140 What is 66664 (base 9) in base 14? 121d2 Convert -342134 (base 6) to base 13. -1027c What is -10101112 (base 3) in base 14? -c87 Convert 2221111112 (base 3) to base 9. 87445 Convert -26117 (base 12) to base 13. -1a893 What is 19c8 (base 15) in base 11? 4220 -3445 (base 8) to base 2 -11100100101 What is -6513 (base 9) in base 16? -12b7 -21c1 (base 13) to base 12 -2894 -30323 (base 5) to base 14 -a03 Convert -60798 (base 10) to base 13. -2189a -1022110 (base 3) to base 9 -1273 What is -502 (base 9) in base 10? -407 -110311 (base 6) to base 3 -110121021 Convert 1100100100 (base 2) to base 10. 804 What is -423 (base 10) in base 15? -1d3 8aa6 (base 11) to base 6 131234 Convert 2111 (base 5) to base 15. 13b 316 (base 10) to base 13 1b4 Convert 33223 (base 11) to base 13. 18c15 What is -3123 (base 4) in base 5? -1334 11000011011001 (base 2) to base 6 133521 What is 50b4 (base 14) in base 13? 6417 41bc (base 13) to base 10 9112 -374 (base 10) to base 13 -22a Convert -423142 (base 5) to base 15. -42ec -25714 (base 9) to base 7 -101401 2041 (base 5) to base 11 227 Convert -10584 (base 11) to base 15. -4828 What is 881 (base 16) in base 5? 32202 -6e6 (base 15) to base 5 -22231 What is -11210020 (base 3) in base 5? -102424 Convert 1011011000110 (base 2) to base 6. 42554 Convert -13746 (base 14) to base 8. -135722 Convert bbb9 (base 12) to base 2. 101000011111101 Convert -843 (base 9) to base 5. -10222 40b6 (base 12) to base 6 52350 Convert 11000010 (base 3) to base 14. 10c7 20414 (base 8) to base 15 2790 Convert 721 (base 11) to base 5. 11440 What is -60 (base 15) in base 4? -1122 -222 (base 9) to base 13 -110 63024 (base 7) to base 4 3301131 Convert 1703a (base 11) to base 4. 11313001 What is 13202 (base 4) in base 13? 2b1 1101101100 (base 2) to base 6 4020 What is 10020202 (base 3) in base 4? 211001 What is 399 (base 14) in base 5? 10343 a (base 16) to base 15 a What is -305 (base 12) in base 7? -1163 -c1 (base 15) to base 3 -20201 What is -10125 (base 8) in base 7? -15122 What is -130002 (base 6) in base 10? -11666 What is 7b (base 16) in base 14? 8b What is -137 (base 12) in base 14? -d5 Convert 2112 (base 5) to base 9. 343 What is 221 (base 5) in base 6? 141 Convert -b38 (base 13) to base 6. -12454 -22112 (base 4) to base 12 -472 What is 81ad (base 14) in base 11? 15834 106 (base 8) to base 15 4a -306 (base 13) to base 6 -2213 What is -11011011 (base 2) in base 15? -e9 Convert 751 (base 9) to base 8. 1145 What is 200100 (base 4) in base 3? 2211110 302255 (base 6) to base 8 56473 -2112201022 (base 3) to base 6 -1023525 -871 (base 12) to base 2 -10011010101 -5b3 (base 15) to base 2 -10100001101 Convert -1048 (base 13) to base 11. -1772 Convert 606 (base 7) to base 8. 454 Convert 4204 (base 10) to base 6. 31244 Convert 203411 (base 5) to base 11. 506a -1113 (base 7) to base 16 -192 -286 (base 9) to base 7 -462 Convert 1021021 (base 3) to base 14. 4a1 Convert 111010000 (base 2) to base 6. 2052 Convert -1900 (base 14) to base 5. -121013 What is 276 (base 12) in base 7? 1050 Convert 3201001 (base 5) to base 10. 53251 What is -4314 (base 5) in base 6? -2412 What is -431104 (base 5) in base 10? -14529 Convert -7927 (base 10) to base 7. -32053 Convert -1835 (base 9) to base 4. -112001 What is 41331 (base 5) in base 9? 3647 b33b (base 12) to base 8 46037 -56c (base 13) to base 15 -425 Convert -10010101111001 (base 2) to base 12. -5675 What is -101001 (base 3) in base 13? -17b Convert -1207 (base 9) to base 10. -898 What is 112012 (base 3) in base 6? 1435 Convert 43664 (base 7) to base 4. 2223131 What is 18b (base 15) in base 6? 1352 1dc (base 16) to base 3 122122 Convert 2360 (base 8) to base 3. 1201211 What is 111001100 (base 2) in base 13? 295 What is 200022022 (base 3) in base 7? 53624 What is -16608 (base 10) in base 9? -24703 110011000110 (base 2) to base 7 12351 4b6 (base 12) to base 6 3150 What is -96 (base 16) in base 10? -150 Convert -3030 (base 4) to base 10. -204 Convert 10247 (base 9) to base 12. 3aba -51718 (base 9) to base 7 -201320 What is -274 (base 12) in base 5? -3001 What is -240 (base 7) in base 5? -1001 40b8 (base 12) to base 16 1b8c What is 11010010101 (base 2) in base 14? 885 What is 2103013 (base 4) in base 11? 708a Convert -1350 (base 7) to base 4. -20031 -607 (base 14) to base 15 -53d What is -1100010111 (base 2) in base 5? -11131 What is 10a0 (base 12) in base 13? ac2 Convert -40203 (base 6) to base 8. -12213 -ac4 (base 15) to base 14 -c5c What is 13827 (base 11) in base 14? 7223 What is -11013 (base 4) in base 10? -327 -404201 (base 6) to base 2 -111110100101001 -221021010 (base 3) to base 16 -47f1 Convert 156 (base 14) to base 11. 228 Convert -102 (base 7) to base 3. -1220 11013 (base 4) to base 15 16c Convert -223323 (base 4) to base 16. -afb 42327 (base 11) to base 10 61618 Convert 33311021 (base 4) to base 11. 44797 Convert 2a3 (base 14) to base 11. 447 Convert 1030 (base 5) to base 16. 8c 33302 (base 4) to base 2 1111110010 222403 (base 7) to base 15 b9a1 What is -74076 (base 8) in base 12? -15992 What is 2795 (base 14) in base 11? 5286 Convert -504 (base 10) to base 13. -2ca Convert 10000100 (base 2) to base 6. 340 2322332 (base 4) to base 6 131222 What is 311121 (base 4) in base 12? 1b89 -2502 (base 16) to base 7 -36423 Convert 1323 (base 5) to base 12. 159 What is 6089 (base 16) in base 10? 24713 24 (base 6) to base 15 11 -110114 (base 6) to base 9 -13451 What is -22414 (base 5) in base 12? -b21 Convert 412022 (base 5) to base 8. 32113 220323 (base 7) to base 16 96b4 What is -133202 (base 4) in base 16? -7e2 160272 (base 8) to base 4 32002322 Convert 100101012 (base 3) to base 9. 10335 -1102 (base 8) to base 6 -2402 Convert 3442 (base 6) to base 5. 11233 -3906 (base 15) to base 2 -10111101111100 -88b5 (base 15) to base 2 -111000100101010 4a7a (base 12) to base 13 3ac9 Convert -a6 (base 11) to base 7. -224 23506 (base 7) to base 5 143312 What is -508 (base 13) in base 14? -44d What is -e1cf (base 16) in base 5? -3322212 What is 49e (base 16) in base 6? 5250 Convert 7b4 (base 13) to base 4. 110302 Convert 403 (base 9) to base 3. 110010 Convert -231355 (base 6) to base 13. -9020 -10010100011111010 (base 2) to base 4 -102203322 -7704 (base 8) to base 3 -12112111 Convert -1222344 (base 5) to base 7. -125303 4550 (base 6) to base 8 2062 20244 (base 6) to base 8 5204 Convert 113554 (base 6) to base 2. 10011011001110 100011010000 (base 2) to base 14 b72 What is 60218 (base 9) in base 7? 223202 What is 400 (base 10) in base 4? 12100 Convert 111100001 (base 2) to base 13. 2b0 5a63 (base 13) to base 5 402011 7348 (base 12) to base 13 5960 Convert 125635 (base 7) to base 14. 888c What is -39c7 (base 13) in base 16? -2053 Convert 22620 (base 8) to base 15. 2cb1 What is -356 (base 7) in base 2? -10111100 Convert 1182 (base 15) to base 3. 12002212 4136 (base 8) to base 5 32032 Convert 1303 (base 5) to base 14. 107 Convert 1321304 (base 5) to base 12. 13386 What is 98ab (base 12) in base 16? 41c3 What is -3720 (base 10
{ "pile_set_name": "DM Mathematics" }
/(-3) + 1)*-3. Let f(j) = -j**3 - 3*j**2 + 6*j + 5. Let k be f(w). Let v be k/(-2) + (-5)/5. Is v greater than or equal to 1/2? True Let z = 265.7 - 266. Which is smaller: z or -18/11? -18/11 Suppose 7*x = 9*x - 10. Suppose 3*b + 13 = -x. Let n(i) = i**3 + 7*i**2 + 6*i. Let w be n(b). Which is smaller: w or 7? w Let z(v) = -4*v. Let o(w) = 2*w + 21. Let q be o(-10). Let r be z(q). Are r and -4 non-equal? False Let t be (-455)/(-14)*8/5. Let w(c) = 44*c**2 + 2*c - 1. Let a be w(1). Let f be 5/a*6/t. Which is bigger: f or -1? f Suppose 7 = 2*w - 5. Let h be 1 + 6 + (-2)/w. Are h and 8 nonequal? True Let i = 4 + -7. Let x be (3/((-9)/22))/(2/12). Let q be ((-4)/(-14))/(x/77). Which is smaller: i or q? i Let n = -20 - -19. Let r be (5/(-10))/(n/37). Let h = r + -18. Which is smaller: h or -2? -2 Let b = 34 + -40. Let n(p) = -2*p**2 - 10*p + 10. Let c be n(b). Does c = 1/4? False Suppose 15*p - 17*p - 4 = 0. Is p greater than or equal to -32/15? True Suppose -4 = 5*g - 24. Suppose -7 = -g*r - 2*w + 15, 0 = 5*r - 2*w - 50. Which is smaller: r or -1? -1 Let q = -124 + 124.1. Let y = 476 - 4280/9. Is y < q? False Let m be 60 - ((1 - 4) + -1). Let a be m/255 - (-18)/(-153). Which is smaller: 1 or a? a Let k be (-14)/(-77) - 40/(-22). Suppose -5*l = -7*l + k. Is 2/3 less than or equal to l? True Let a = 9 + -2. Let i = -1 + -4. Let r = i - -6. Are a and r equal? False Let c = 51 - 30. Suppose m - 5*k - c = 0, -m + 3*k + 8 = -5. Let j(h) = 2*h - 8. Let n be j(7). Is n != m? True Suppose 19*i - 9*i + 650 = 0. Which is smaller: i or -66? -66 Suppose 1 = 2*r + 3*m, -12 = -5*r - m + 3*m. Suppose -5*f = -y - r*f - 11, 2*f = -4*y - 2. Let x be 0 - 2/(-4)*-4. Does y = x? True Let b = 47 - 44. Let w(l) = -3*l + 11. Let u(r) = r - 1. Let p(k) = 2*u(k) + w(k). Let y be p(8). Which is bigger: b or y? b Let z be (-4 + 1414/357)*6. Which is greater: 1 or z? 1 Suppose -2*i + 14 = -5*r + 8*r, -4 = -2*r. Which is bigger: 1/4 or i? i Let x = 7.14 - -0.16. Let t = 7 - x. Which is smaller: t or -0.1? t Let d be 6/(-33) - ((-36)/44)/(-1). Which is smaller: 10/29 or d? d Suppose 13*j = 3*j - 110. Which is greater: -9 or j? -9 Let p(o) = -o**3 + 14*o**2 + o - 12. Let r be p(14). Suppose l - 46 = r*i, 2*i = 7*i + 2*l + 124. Is -23 < i? False Let q be ((-410)/(-287) + (-332)/56)*2/(-1). Let t(v) = -v**3 - 5*v**2 + 7*v + 2. Let s be t(-6). Let g be (2 - 6)/(2/s). Which is greater: g or q? q Let r = -263.1271 + 0.1271. Which is smaller: 0.2 or r? r Let q = 1/778 + -7787/5446. Are -0.4 and q unequal? True Let z = -20 - -11. Let b be 61/(-92) - z/12. Which is smaller: 0 or b? 0 Suppose 20*z = -15*z + 70. Let p(l) = l**3 - 5*l**2 - l - 2. Let r be p(5). Let h(a) = a + 7. Let d be h(r). Is z bigger than d? True Let s be -1 + 30/7 - 21/(-21). Let k be 2/((-5)/(15/(-2))). Is s at most as big as k? False Let r be (2 - 4)/((-4)/(-224)*2). Let c be 15/25 + (r/10 - -3). Is c < 0? True Let s be ((-102)/12)/(4/(-8)) - 4. Suppose 5*x = 2*x - 42. Let d = s + x. Which is smaller: -2/7 or d? d Suppose -5 = -5*h + 10. Suppose -h - 3 = 3*i. Suppose -4*c = -2*c + 355 - 351. Is i equal to c? True Let u(k) = 4 + k**2 + 5*k - 5 + 6. Let z be u(-1). Is z at least 2/135? True Suppose 3*k - 438 = -3*s + 177, -k = -s + 215. Let n be (-4)/10 + 224/s. Which is smaller: n or 0? 0 Let p = 25 - 25. Suppose p = -4*m + 2*o - 12, 4*m + o + 40 = -4*o. Which is greater: m or -6? m Let v = 115.1 - 110. Let t = v - 5.31. Let o = -0.41 - t. Are o and 4 nonequal? True Let n = -4762/1035 + 1/1035. Suppose -2*w - 2*w = 20. Is n at least w? True Let w(o) = -o**3 - 10*o**2 - o - 7. Let u be (16/(-40))/(2/50). Let a be w(u). Which is greater: a or 13/3? 13/3 Let r = -514831/236145 + 4/6055. Let y = r - -7/3. Is y equal to 7? False Suppose 6*n - 39 = -5*c + 2*n, 4*n + 3 = c. Suppose 3*o - c = -1, -4*q + 5*o = -18. Let s(k) = -k**2 + 5*k + 4. Let l be s(q). Are l and -9 equal? False Suppose 2*p = -1 + 11. Let t = -5 + p. Suppose -15 = 3*a - t*l - 3*l, l - 9 = 5*a. Is 2/11 bigger than a? True Let d(x) = -x**3 - 13*x**2 - x - 39. Let k be d(-13). Which is bigger: k or -29? k Let k be (0 - 25)/((0 + -2)/2). Suppose 5*j - 5*l = -k, -6*j - 18 = -2*j - 2*l. Which is smaller: j or -1? j Let m(z) = z - 7. Let q be m(5). Let h = 4 - 19. Let j = q - h. Which is smaller: j or 0.1? 0.1 Let j be 2/7 + 9714/252. Let c = -94 - -55. Let d = j + c. Are 0 and d non-equal? True Let g be (537/(-267) + 2)/(45/(-10)). Let r = g + -3226/8811. Is -1 > r? False Suppose 2*a + 18*a = -420. Which is smaller: -23 or a? -23 Let k(z) = 28*z. Let r be k(1). Let j = r + -37. Which is smaller: -7 or j? j Let w = 76 + -72. Suppose -4 = n, -5*l + 0*n - w*n - 16 = 0. Let x = 0.3 + -0.2. Is x at least as big as l? True Let b be (2 + 260/(-126))/(4/6). Suppose -a + 5 = 5*c, 3*c + 4 + 6 = 2*a. Is c not equal to b? True Suppose -2*y + 22 = -4*z, -2*z - 32 = -4*y + 2*z. Suppose -y = 2*m - m. Let d = -12/7 + 41/28. Which is smaller: m or d? m Suppose -4*o = -8*o + 360. Let g = o - 91. Is g smaller than -2/73? True Suppose 2*r + 0 + 8 = 3*v, -r - 4 = -2*v. Suppose v = 4*q + 17 + 55. Which is smaller: q or -17? q Let t be (-417)/695*(5 + 0). Suppose 4 = -m - d, 2*m - 4*d + 12 = -m. Is t at least m? True Let a(m) = -m**3 - m**2 + 7*m + 2. Let z be a(-3). Let c = 202 - 4648/23. Is c <= z? False Let o be (58/(-36) - (-8)/72)*2. Does -42/23 = o? False Let a be (9/12)/(7/((-112)/(-6))). Suppose -6*l - a*l = -5*l. Let f = 15 - 22. Do f and l have different values? True Let h(m) = -6*m**2 + 3*m. Let c be h(2). Suppose 35*z + 36*z - 6*z = -1170. Is z bigger than c? False Suppose 0 = y - 3*x - 19, -6*y + 41 = -2*y - 5*x. Which is smaller: 5 or y? y Suppose -4*q + 19 = 5*v + 86, -3*v - 35 = 2*q. Let t = q - -12. Which is bigger: t or 0? 0 Let a = -0.4049 - 4.5951. Let s = -0.1 - 0.1. Is s equal to a? False Let j(x) = -25 - 3 + 44*x - 1 + 12 + 2*x**2. Let b be j(-22). Which is bigger: b or -19? b Let u = -137 - -143. Is 8 less than u? False Let o = -0.054 + 5.854. Let s = o - 2.8. Is -1 < s? True Let y(j) = j**2 - 2*j + 7. Let o be y(3). Suppose -5*n + 5*k + o = -10*n, -n - 10 = 5*k. Let a be (1 - (-9)/(-6))*n. Is -2/39 smaller than a? True Suppose -4*c + 15 - 7 = 0. Suppose c*g + 5 = 9. Suppose v - g*v = 0. Are -3/5 and v equal? False Let g = -2344 - -1362. Is g <= -982? True Suppose -3*o = -o + 26. Let y = -1528/3 - -497. Is y smaller than o? False Suppose 21 = 2*s - 7. Suppose -59*y + 61*y - 37 = -3*o, -o + 3*y + 16 = 0. Do s and o have the same value? False Let v = -0.0193 - 21.9807. Is 2/15 bigger than v? True Let s be -9 + 14 - 3/((-3)/(-4)). Which is smaller: 2/1911 or s? 2/1911 Let t(j) be the third derivative of -j**4/8 + j**3/6 + 16*j**2. Let q be t(0). Which is smaller: 16 or q? q Let d = 0.24 + 1.76. Let z = -0.13 - -0.06. Are d and z non-equal? True Let m = 77 - 41. Let k be (24/m)/((-2)/6). Is k bigger than -2? False Let h = -498 + 497.976. Are h and 2 equal? False Let i be (3/9)/(2/(-6)). Is 6/203 at least as big as i? True Let u = 158.1 + -180. Let y = -21.49 + -0.51. Let p = u - y. Which is greater: 1/3 or p? 1/3 Let c(p) = 8*p**2. Let j be c(-1). Let v be -5*(-5)/(100/j). Suppose -4*r + 12 = -4*q, r - v*q + 4 = 4*r. Which is smaller: r or 5/8? 5/8 Let y = 193 - -4. Is 195 greater than y? False Let x = -58 + 58.51. Are 1 and x unequal? True Let m(x) = x - x - x**2 + 1. Suppose w + 1 = -26*q + 25*q, -3*w + 11 = -4*q. Let v be m(q). Which is smaller: -12/5 or v? v Suppose 2*o + 4*k + 6 - 18 = 0, 0 = -o - 5*k + 3. Let n = 2 - o. Let w be (-11)/(-66) + (-29)/n. Which is greater: 3 or w? w Let w be (-582)/27 - 88/198. Is -24 smaller than w? True Let j = 21 + -22. Let l be (j - 3) + (-16866)/135. Let f = l + 129. Which is smaller: f or 0? 0 Let u(j) = j**3 + 5*j**2 + 3*j - 3. Let b be u(-4). Let d = -3 + b. Let i be -9 + 6 + 0/d. Are i and -3 equal? True Let o = 600 + -24003/40. Let v = 1130 - 1130. Which is smaller: v or o? o Suppose 0 = 4*x - s - s - 1220, -5*s - 915 = -3*x. Let f be x/(-50) + 4/(-10). Let a(w) = -w**3 + 20*w**2 + w - 27. Let n be a(20). Is n <= f? True Let v be 5 - 7 - (-14)/6. Suppose 3*r = -y, 6*r - r = 2*y. Is v smaller than y? False Let a(h) be the first derivative of h**3/3 - 3*h**2 - 8*h + 3. Let s be a(7). Let u = -8052/25 + 322. Which is
{ "pile_set_name": "DM Mathematics" }
{w: 1, s: 2, c: 1, t: 2, p: 2}. 1/56 What is prob of picking 2 p when two letters picked without replacement from {p: 3, n: 17}? 3/190 Two letters picked without replacement from euueeuuueeuemem. Give prob of picking 2 u. 1/7 What is prob of picking 2 l and 2 b when four letters picked without replacement from {l: 6, b: 13}? 195/646 What is prob of picking 3 w when three letters picked without replacement from xxxxxxwwxxwxwxxxwwx? 20/969 Three letters picked without replacement from yoryooroyronony. Give prob of picking 1 o and 2 y. 36/455 Calculate prob of picking 2 h and 1 z when three letters picked without replacement from hhrhzhhhhhrhhhhrh. 39/340 Four letters picked without replacement from {e: 1, g: 6, w: 5, s: 2, o: 1, n: 1}. Give prob of picking 1 o, 1 s, 1 e, and 1 w. 1/182 Three letters picked without replacement from {d: 2, m: 2, q: 5, n: 1, w: 2, g: 1}. Give prob of picking 1 w and 2 d. 1/143 Three letters picked without replacement from {p: 6, y: 2}. Give prob of picking 1 y and 2 p. 15/28 Two letters picked without replacement from etezzzeqezqqterzz. Give prob of picking 1 e and 1 q. 15/136 What is prob of picking 2 i when two letters picked without replacement from iiixmixiiibbiibi? 3/8 What is prob of picking 2 d when two letters picked without replacement from ppdyppyhd? 1/36 Calculate prob of picking 1 q, 1 e, and 2 v when four letters picked without replacement from vgeqgeggvgggg. 2/715 Four letters picked without replacement from rrrrfrrr. Give prob of picking 4 r. 1/2 Calculate prob of picking 2 l and 1 n when three letters picked without replacement from {n: 5, l: 11}. 55/112 Three letters picked without replacement from {o: 4, e: 2, t: 2}. Give prob of picking 2 t and 1 e. 1/28 What is prob of picking 3 x when three letters picked without replacement from xxxxfxxxfxxx? 6/11 Three letters picked without replacement from {t: 5, v: 8}. Give prob of picking 2 t and 1 v. 40/143 What is prob of picking 1 c and 3 u when four letters picked without replacement from {c: 3, u: 13}? 33/70 Three letters picked without replacement from {i: 4, r: 5, k: 3, j: 7}. What is prob of picking 2 k and 1 i? 4/323 What is prob of picking 1 t, 1 f, and 1 d when three letters picked without replacement from {t: 2, g: 2, c: 1, f: 2, m: 1, d: 1}? 1/21 Three letters picked without replacement from yyyycvdyvvvq. What is prob of picking 1 y, 1 v, and 1 d? 1/11 What is prob of picking 1 s, 1 p, 1 l, and 1 t when four letters picked without replacement from {l: 11, p: 1, t: 1, h: 1, s: 6}? 22/1615 Two letters picked without replacement from bbgghghggb. Give prob of picking 1 h and 1 g. 2/9 Four letters picked without replacement from gyrergczz. Give prob of picking 1 r, 1 y, and 2 g. 1/63 Calculate prob of picking 2 m and 1 y when three letters picked without replacement from {m: 4, s: 1, y: 1, e: 2, w: 3}. 2/55 Calculate prob of picking 2 i when two letters picked without replacement from sssisiss. 1/28 What is prob of picking 4 a when four letters picked without replacement from {z: 5, q: 2, n: 4, a: 4}? 1/1365 Calculate prob of picking 4 m when four letters picked without replacement from mmmmmmnmmnm. 21/55 Three letters picked without replacement from tvvnkce. What is prob of picking 1 c, 1 e, and 1 t? 1/35 Calculate prob of picking 1 n and 1 f when two letters picked without replacement from ddfrsdsnsrs. 1/55 Three letters picked without replacement from {l: 5, x: 2, y: 8, o: 1, b: 1}. Give prob of picking 3 y. 7/85 Four letters picked without replacement from {h: 2, q: 1, l: 1, a: 1, t: 1, x: 1}. What is prob of picking 1 t, 1 l, 1 x, and 1 h? 2/35 What is prob of picking 1 b and 1 s when two letters picked without replacement from blbhbbllsss? 12/55 Calculate prob of picking 4 b when four letters picked without replacement from cbbcbbc. 1/35 Three letters picked without replacement from {n: 4, m: 1, j: 3, r: 1, c: 2}. Give prob of picking 1 r, 1 c, and 1 m. 2/165 Calculate prob of picking 1 a and 3 b when four letters picked without replacement from {a: 2, b: 11}. 6/13 What is prob of picking 2 k and 1 a when three letters picked without replacement from kkkkkkkakkkkkkkykkkk? 51/380 What is prob of picking 2 y and 1 j when three letters picked without replacement from dyddyddddjdydddddjyy? 1/57 Calculate prob of picking 1 a, 1 u, and 1 v when three letters picked without replacement from {a: 1, v: 10, u: 2, k: 1, c: 2}. 1/28 Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {r: 1, j: 5, u: 3, d: 3, x: 8}. 3/190 Four letters picked without replacement from ooddd. What is prob of picking 2 o and 2 d? 3/5 Four letters picked without replacement from yxxxxtcxxxatqxtaxaxx. Give prob of picking 2 c and 2 t. 0 Two letters picked without replacement from gemgegzezgggdzzggegz. Give prob of picking 2 z. 1/19 Three letters picked without replacement from {v: 3, p: 1, a: 4, x: 1, i: 1, e: 6}. What is prob of picking 1 e and 2 v? 9/280 Four letters picked without replacement from {s: 7, v: 2}. What is prob of picking 3 s and 1 v? 5/9 Calculate prob of picking 1 u and 2 g when three letters picked without replacement from nngnunnnng. 1/120 Calculate prob of picking 1 d and 1 w when two letters picked without replacement from {k: 2, d: 1, o: 1, w: 2, z: 1, i: 1}. 1/14 Four letters picked without replacement from lcccbccuutcbuluct. Give prob of picking 2 l and 2 b. 1/2380 Two letters picked without replacement from nnfnnxcfnfnnfnnnc. Give prob of picking 1 n and 1 x. 5/68 What is prob of picking 1 x, 1 d, and 2 h when four letters picked without replacement from {x: 4, h: 3, m: 2, k: 1, d: 1, y: 4}? 4/455 What is prob of picking 1 s and 1 e when two letters picked without replacement from {c: 2, s: 1, e: 2, g: 7}? 1/33 What is prob of picking 1 f and 2 c when three letters picked without replacement from {d: 11, c: 5, f: 1}? 1/68 Calculate prob of picking 4 g when four letters picked without replacement from xxvgvgghgggvgvggg. 3/34 Calculate prob of picking 3 d when three letters picked without replacement from sddd. 1/4 Four letters picked without replacement from {g: 6, q: 1, h: 2, z: 2, b: 1}. Give prob of picking 4 g. 1/33 Four letters picked without replacement from {l: 2, m: 2, i: 3, d: 4, a: 1, o: 2}. What is prob of picking 1 m, 1 l, 1 i, and 1 o? 24/1001 Two letters picked without replacement from {o: 9, n: 5}. What is prob of picking 1 o and 1 n? 45/91 Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, x: 4, v: 1, j: 1}. 1/28 Calculate prob of picking 1 h, 1 o, 1 f, and 1 m when four letters picked without replacement from {f: 1, s: 2, m: 2, b: 1, h: 1, o: 1}. 1/35 Four letters picked without replacement from srtmtttssksutrusm. Give prob of picking 1 m, 1 s, 1 t, and 1 r. 5/119 Two letters picked without replacement from obdbbbdof. Give prob of picking 1 d and 1 o. 1/9 Two letters picked without replacement from ppppppppp. What is prob of picking 2 p? 1 What is prob of picking 1 l, 1 u, 1 e, and 1 d when four letters picked without replacement from {e: 3, l: 10, u: 2, d: 5}? 20/323 Two letters picked without replacement from ikkakaiavaabii. Give prob of picking 1 i and 1 k. 12/91 Three letters picked without replacement from {z: 7, j: 1, g: 1, x: 4, t: 4}. What is prob of picking 1 j and 2 x? 3/340 Calculate prob of picking 2 t when two letters picked without replacement from {w: 3, t: 4, k: 7}. 6/91 Two letters picked without replacement from {b: 11, t: 2}. What is prob of picking 2 b? 55/78 What is prob of picking 3 d and 1 a when four letters picked without replacement from {a: 6, d: 12}? 22/51 Three letters picked without replacement from {c: 1, p: 4, b: 9}. What is prob of picking 3 p? 1/91 Calculate prob of picking 2 x when two letters picked without replacement from {x: 2, a: 2, m: 5}. 1/36 What is prob of picking 2 t when two letters picked without replacement from tttttttttt? 1 What is prob of picking 1 d and 1 n when two letters picked without replacement from nfodfn? 2/15 Calculate prob of picking 1 c and 1 i when two letters picked without replacement from {i: 4, c: 7}. 28/55 Calculate prob of picking 1 q, 2 f, and 1 g when four letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
24 = g*h - 11*h for h. -2 Suppose -404*g - 3015 = -407*g + 3*x, -3*g + 3063 = 5*x. Solve 10*j = 961 - g for j. -5 Suppose -3*s = 5*q, 3*q - s + 2*s = 0. Suppose q*l = 2*l + 5*j + 40, -2*j + 56 = -4*l. Let m be 2/((-3)/(-5) - 6/l). Solve -4*h + m = 6 for h. -1 Let b = -91 + 139. Suppose 6*a + 0*a = b. Solve -y - a = -5*y for y. 2 Let q(w) = -3*w**2 + 141*w - 90. Let y be q(46). Suppose -u = -2*u. Let g be u + (6/y - (-14)/16). Solve 7 = 3*h + g for h. 2 Let m(h) = -2*h**3 + 26*h**2 - 11*h - 105. Let z be m(11). Solve -z*u + 257*u + 4 = 0 for u. 4 Let y(r) = -r**2 + 32*r + 68. Let f be y(-2). Solve p - 2*p - 1 = f for p. -1 Let d be (43 - 0)/(81/486). Let l = 259 - d. Solve 3*m - 5 = l for m. 2 Suppose 100 = 6*p + 94. Let y be -10*(3/(-5))/p. Solve 5*a - 2 = y*a for a. -2 Suppose 134*o - 140*o + 126 = 0. Solve -o*n + 3 = -20*n for n. 3 Let o(d) = -d**3 + 24*d**2 + 26*d - 21. Let k be o(25). Let r(y) = y**2 - 9*y + 2. Let w be r(8). Let z be (-3 + k + -1*2)*w. Solve -z = -j - 2*j for j. 2 Suppose 2018 = -12*p + 3014. Solve -6 = -p*b + 85*b for b. -3 Let t(y) = -13*y - 6 + 37*y - 22*y. Suppose 3*s = 5*a - 8, 3*s - 33 = -5*a - 1. Let k be t(a). Solve -2*w = k*w - 12 for w. 3 Let z(w) = 2*w**3 + 23*w**2 - 10*w + 27. Let p be z(-12). Suppose 2*r + 34 - 30 = -4*x, 4*r - p*x = 25. Solve -r*o + 3*o = -5 for o. 5 Suppose -14 = 36*j - 5*j - 262. Solve j*l - 58 = -98 for l. -5 Let y be (12/4)/(((-378)/(-35))/(-18)) - -8. Solve -y*j + 15 = -0*j for j. 5 Let k = -217 + 223. Let i = -676 + 691. Solve o = k*o - i for o. 3 Let i(v) = 118*v + 46. Let q be i(0). Solve 0 = 11*u + 35*u - q for u. 1 Suppose a + 80 = -5*m + 73, 3*m = 2*a - 12. Solve -300 = 53*h - a*h for h. -6 Let x(q) = -q**3 - 20*q**2 - 30*q + 20. Let d be x(-19). Suppose -d = -24*h - 85. Solve -h = t - 4 for t. -2 Suppose 136 = -7*a + 3*a. Let j = a + 17. Let c = -17 - j. Solve 5*p - 3*p - 2 = c for p. 1 Let g = 7 - 5. Suppose 2*w - 4*b = 22, 2 = -3*b - 4. Suppose -6*r - w = -13*r. Solve g*c - r = 1 for c. 1 Suppose 5*u - 660 = -5*r, -2*r = -4*u - 69 - 207. Let k = r + -132. Let j(q) = -q**2 - 18*q - 13. Let o be j(-17). Solve -o = -3*x + k for x. 2 Suppose -5*j + 4*y = 441, -3*j + 0*j - 268 = y. Suppose 2388*q + 3588 = 2427*q. Let b = q + j. Solve 3*d + 0*d + b = 0 for d. -1 Let j = -102 + 107. Suppose 0 = j*n + 28 - 88. Suppose 0 = 4*y - y - n. Solve -4*x - y - 4 = 0 for x. -2 Let l(m) = 11*m - 51. Suppose 11*j - 21 = 34. Let y be l(j). Solve 0 = -y*f + 8*f - 20 for f. 5 Let x be 3/(3/34) + 1. Suppose v + 5*u = 39, -3*u + 8 + 1 = 0. Suppose 0 = -4*n - 2*p + v, 8 = 4*p - 0. Solve -x = n*h - 10 for h. -5 Let l = -2430 + 2432. Solve -2*b = 7*b + l*b for b. 0 Suppose 10 = 8*s - 13*s. Let w(i) = -i**2 - 3*i - 5. Let g be w(s). Let t be ((-14)/(-3))/(-7) - 11/g. Solve 0 = t*d + 2*d for d. 0 Suppose 85 = 1608*y - 1603*y. Solve 10 - y = 7*a for a. -1 Let i be (1 + -1)*2*3/(-12). Let g be (1 + i)/(-1 + (-42)/(-40)). Suppose -g = -9*w + 7. Solve -w + 5 = r for r. 2 Let v be (-2 + 3/(-2))*(-90)/35. Suppose 0 = 12*r - v - 15. Solve -2 = r*n - 6 for n. 2 Let f(m) = m**3 + 15*m**2 + 14*m + 12. Let x be f(-14). Let o be 2/(39/x - 3). Suppose -r + o = 3. Solve 1 - r = -p for p. 4 Let s be (-3)/(-18) + 205/30. Let q be ((-2)/(-5))/(s/(-595)). Let b = -34 - q. Solve -k + 3*k - 4 = b for k. 2 Suppose -298*x + 3472 + 6649 = -3289. Suppose -5*s = a + 4, 5*s - 4 - 4 = 2*a. Solve s = 5*k + 35 - x for k. 2 Suppose 14 + 10 = 3*b. Let p be (-18)/(-4)*b/12. Let r be (2/(-1))/((-112)/280). Solve r = -4*d - p for d. -2 Let h(u) = -u**2 + 2*u + 7. Let z be h(3). Suppose 0*p + 3*p = 0. Let v(o) = -o - 5. Let k be v(-5). Solve k*b - z*b = p for b. 0 Suppose -7 + 35 = 4*p - 2*t, -4*t + 48 = 5*p. Let r be (9/5)/((32/(-720))/((-26)/117)). Solve n - r = -p for n. 1 Let j(p) = 364 + 355 + p**2 - 647 + 19*p. Let o be j(-16). Solve 12*k = 6*k - o for k. -4 Let u(n) = -2*n. Let o(y) = -4*y - 17. Let l be o(-4). Let c be u(l). Solve -w = 1 - c for w. 1 Let l = -16144 + 16162. Solve 8*b + 10 = l*b for b. 1 Suppose 14 = -j + 3*n + 35, 4*n + 53 = 3*j. Solve -j + 32 = 17*d for d. 1 Let f be 1/(-4) + 277/4. Let s(j) = 132*j + 202. Let m be s(-1). Let y = m - f. Solve -2*a + y = 9 for a. -4 Suppose -r + 2*q + 12 = 0, r + 0*q + 3*q - 7 = 0. Solve -5*o = -r*o - 25 for o. -5 Let y = -419 + 434. Solve -2*x - y = x for x. -5 Let u = 11 + -7. Let p = -135 - -204. Let t be 55/3 - 23/p. Solve 0 = -u*a - t - 2 for a. -5 Let n = -8682 + 8789. Solve 13*h - n = -16 for h. 7 Suppose -2*a = 5*h + 14, -94*a + 96*a - 10 = -h. Solve -a*s + 20*s = -6*s for s. 0 Suppose -19 + 111 = 23*a. Solve 17 = -a*c + 1 for c. -4 Let j(m) = -2*m + 30. Let n be j(13). Let c be (2/(-1 - 1))/((-14)/(-84)). Let i be ((-18)/(c/2))/(6/4). Solve n*l + i = -4 for l. -2 Suppose -7581*x - 1208 = -7589*x. Solve 0 = -10*j + x - 151 for j. 0 Suppose o + 69 - 106 = 3*t, -2*o + 66 = -5*t. Solve 20*f - o = -93 for f. -4 Suppose -23 = -3*t + q, t + q - 2*q = 11. Suppose y = t*y - 105. Suppose -3*w + 3*c = -y, 4*w - 3*w - 4*c = 19. Solve -w*k = -8*k for k. 0 Let q be (8/(-10) - -1)/(4100/(-375) + 11). Suppose o + 0*o + 4*c - 8 = 0, -23 = -5*o - 3*c. Solve 0 = -q*f - 19 + o for f. -5 Let u = 2499 + -2436. Solve -506 = -u*p - 65 for p. 7 Let j(q) = q**3 + 17*q**2 - 66*q - 120. Let f be j(-20). Solve f = -37*a + 9 - 9 for a. 0 Let d(z) = z**2 + 26*z + 114. Let x be d(-21). Let u(g) = -g + 10. Let q be u(x). Solve -q = -2*n - 5 for n. -2 Let f(p) = 15*p + 101. Let x be f(-6). Let t be (-1)/(-3) + -11*(-1)/3. Solve -3 + x = t*w for w. 2 Let t be (-211)/(-422) + -3 + (-71)/(-2). Solve -t*i = -15*i for i. 0 Let o = 414 + -411. Suppose -3*j - 5*z + 9*z + 16 = 0, 5*j + 12 = -o*z. Suppose -8 = -4*c + h - 0, -5*h + 23 = c. Solve j*k + c*k = 0 for k. 0 Let z(n) = 2*n + 12. Let a be z(6). Let d(u) = -a*u**2 + 12*u**2 - 3*u + 14*u + 15*u**2. Let g be d(-4). Solve -g*j = -j for j. 0 Suppose -17 = -7*h + 46. Suppose -q - 19 = -3*x, 70 - 52 = 2*x - 2*q. Solve -x*z + 1 = -h for z. 2 Let c be 0*3*(-2)/(-6). Let i = 433 + -428. Solve c = -i*y - y + 24 for y. 4 Suppose 30*y = 11*y - 6802. Let h = y + 361. Solve h*i + 5 + 1 = 0 for i. -2 Suppose 4*n - 587 = -0*n - 3*u, -4*n + 557 = -3*u. Suppose 9*k = 449 - n. Solve -7 + k = -9*q for q. -3 Suppose 0 = -5*x - 5*y - 555, -2*x + y + 341 = -5*x. Let g be x/(-15) - (-2)/6. Solve -4*j + 0 = -g for j. 2 Let w be (-17)/((-170)/(-12))*-25. Solve -75*m + w = -69*m for m. 5 Let o(r) = -19*r - 62 - 18 + 8*r. Let u be o(-8). Solve -u*p = -9*p for p. 0 Let z = -15427 + 16204. Solve -z*b + 779*b - 18 = 0 for b. 9 Let m be (-1)/((-1)/15)*(-60)/(-90). Suppose 11*l - m = 9*l. Solve -g = -l*g + 12 for g. 3 Suppose 2*k - 2*m = 54, -k + 25 = -4*m + m. Suppose -24*g - 60 = -k*g. Solve -5*c + 5 = -g for c. 4 Let v(l) = l**2 + 4*l - 78. Let f be v(-11). Let w(h) = -6*h**2 - 8*h**3 + h**2 + 3*h**2 - h. Let b be w(f). Solve b*r - 6 = 4*r for r. 2 Suppose 5*t - 65 = 5*s, -2*t - 2*s = s + 4. Solve 55 - t = 8*v for v. 6 Let c be 12*(10/4 - 1). Let p = -17 + c. Let o be -2 - -2*(-3 + 5). Solve o*a + p = 9 for a. 4 Let t(z) = -z - 2. Let p(o) = o**2 + 19*o + 62. Let h(n) = -p(n) - 2*t(n). Let a be h(-5). Solve -a*m = -3*m + 2 for m. 2 Suppose 0 = -3*o + 5*l - 2*l + 63, 0 = 4*o - 2*l - 78. Suppose 0 = -7*z + 94 + o. Solve -25 = z*w - 21*w for w. 5 Suppose -11*t = -14*t + 45. Let q be ((-4)/(-60)*12)/(2/t). Solve 11*w - q*w = 0 for w. 0 Let w = 2301 - 2235. Solve 3*u = 51 - w for u. -5 Let x(g) = -4 - 8 - 5*g - 4. Let o be x(-5). Let z be 3*(6/o + 0)*1. Solve 6*a = z*a for a. 0 Let a = 333 + -326. Solve 0 = 22*h - a*h - 75 for h. 5 Let s(t) be the first derivative of -2*t**2 - 28*t - 1. Suppose -23 = 3*z + b, -4*b = 3*z + 6 + 23. Let y be s(z). Solve y = -6*w + 4*w for w. 0 Let k = -14754 - -14808. Solve 52*u - 10 = k*u for u. -5 Let w = 2316 - 2294. Solve w*u - 22 = 44*u for u. -1 Let y = -1 - 29. Let x(q) = q**2 + 31*q + 33. Let j be x(y). Solve -j = 49*b - 50*b for b. 3 Suppose -h + 754 = -7*r, 12*h - 5*r = 10*h + 1445. Solve -701*z - 16 = -h*z for z. 4 Let q = -189 + 79. Let g be 11/(q/(-75)) + (-3)/(-6). Solve 8 = -4*c - g for c. -4 Let l = 502 + -466. Suppose 0 = -l*c - 31*c + 81*c. Solve -k - 1 + 4 = c for k. 3 Let b = -4455 - -4467. Solve -b*z + 0*z + 12 = 0 for z. 1 Let m = 2736 +
{ "pile_set_name": "DM Mathematics" }
40748731 What is the w'th term of 10698, 21478, 32256, 43032? -w**2 + 10783*w - 84 What is the p'th term of -961, -1657, -2353, -3049? -696*p - 265 What is the w'th term of 206, 400, 592, 818, 1114? 6*w**3 - 37*w**2 + 263*w - 26 What is the a'th term of -268, -917, -1676, -2263, -2396? 47*a**3 - 337*a**2 + 33*a - 11 What is the w'th term of -50233, -100513, -150791, -201067, -251341, -301613? w**2 - 50283*w + 49 What is the d'th term of -218601, -437181, -655759, -874335, -1092909? d**2 - 218583*d - 19 What is the v'th term of 47096, 46866, 46634, 46400, 46164? -v**2 - 227*v + 47324 What is the t'th term of 102, 1132, 3944, 9438, 18514, 32072, 51012, 76234? 150*t**3 - 9*t**2 + 7*t - 46 What is the b'th term of -182239, -365393, -548551, -731713? -2*b**2 - 183148*b + 911 What is the u'th term of -40640254, -40640249, -40640244, -40640239, -40640234? 5*u - 40640259 What is the x'th term of -4563453, -4563449, -4563445, -4563441? 4*x - 4563457 What is the i'th term of 466355, 932721, 1399107, 1865513, 2331939, 2798385? 10*i**2 + 466336*i + 9 What is the v'th term of -50664, -101279, -151854, -202389? 20*v**2 - 50675*v - 9 What is the i'th term of -8517, -34489, -77785, -138405, -216349? -8662*i**2 + 14*i + 131 What is the i'th term of -8684, -17692, -26700? -9008*i + 324 What is the x'th term of -3925298, -3925266, -3925232, -3925196, -3925158? x**2 + 29*x - 3925328 What is the a'th term of -1566, -1277, -798, -129, 730, 1779? 95*a**2 + 4*a - 1665 What is the f'th term of -4879, -8396, -14257, -22462, -33011, -45904, -61141? -1172*f**2 - f - 3706 What is the f'th term of 384815945, 769631892, 1154447839? 384815947*f - 2 What is the w'th term of -14834063, -14834081, -14834109, -14834147, -14834195, -14834253? -5*w**2 - 3*w - 14834055 What is the z'th term of 2572261, 2572142, 2571945, 2571670, 2571317, 2570886, 2570377? -39*z**2 - 2*z + 2572302 What is the d'th term of -462, -520, -612, -738? -17*d**2 - 7*d - 438 What is the s'th term of 48367, 97313, 146837, 196939, 247619? 289*s**2 + 48079*s - 1 What is the g'th term of 3333, 26300, 88591, 209868, 409793, 708028? 3277*g**3 + 28*g + 28 What is the x'th term of 12872264, 25744517, 38616770, 51489023? 12872253*x + 11 What is the j'th term of -716, -2950, -6706, -11984, -18784, -27106, -36950? -761*j**2 + 49*j - 4 What is the n'th term of 670988, 1341931, 2012838, 2683709, 3354544, 4025343? -18*n**2 + 670997*n + 9 What is the i'th term of 6526283, 6526282, 6526279, 6526274, 6526267, 6526258? -i**2 + 2*i + 6526282 What is the q'th term of -1325, -1117, -897, -665, -421? 6*q**2 + 190*q - 1521 What is the q'th term of -14661, -59139, -133433, -237543, -371469? -14908*q**2 + 246*q + 1 What is the j'th term of -115470, -115516, -115562? -46*j - 115424 What is the a'th term of -1345, -1462, -1679, -2014, -2485? -3*a**3 - 32*a**2 - 1310 What is the l'th term of 1753134, 3506800, 5260466? 1753666*l - 532 What is the q'th term of -53557, -111179, -168801, -226423, -284045, -341667? -57622*q + 4065 What is the r'th term of 5004, 17667, 37992, 65979, 101628, 144939, 195912? 3831*r**2 + 1170*r + 3 What is the m'th term of -181728, -363438, -545112, -726750, -908352? 18*m**2 - 181764*m + 18 What is the d'th term of 241983, 967945, 2177893, 3871827? 241993*d**2 - 17*d + 7 What is the y'th term of -226135915, -452271828, -678407741, -904543654, -1130679567? -226135913*y - 2 What is the g'th term of 63547, 121401, 179255? 57854*g + 5693 What is the g'th term of 23712, 191068, 645320, 1529916, 2988304, 5163932? 23908*g**3 - 196 What is the y'th term of 2559, 20811, 70479, 167271, 326895, 565059? 2618*y**3 - 74*y + 15 What is the f'th term of -415991, -416481, -416977, -417479, -417987? -3*f**2 - 481*f - 415507 What is the b'th term of -111852, -111830, -111808, -111786, -111764, -111742? 22*b - 111874 What is the b'th term of 289, -112, -825, -1886, -3331, -5196? -6*b**3 - 120*b**2 + b + 414 What is the z'th term of 9942, 39102, 87482, 155082, 241902, 347942? 9610*z**2 + 330*z + 2 What is the n'th term of 27515691, 55031381, 82547071, 110062761? 27515690*n + 1 What is the d'th term of 113012, 225959, 338906, 451853? 112947*d + 65 What is the y'th term of -300301, -600612, -900923, -1201234? -300311*y + 10 What is the d'th term of 3666, 3483, 3294, 3099, 2898? -3*d**2 - 174*d + 3843 What is the n'th term of 13141, 26256, 39383, 52528, 65697, 78896, 92131, 105408? n**3 + 13108*n + 32 What is the f'th term of 52879, 105631, 158393, 211171, 263971, 316799, 369661, 422563? f**3 - f**2 + 52748*f + 131 What is the h'th term of -23264, -94519, -213270, -379517? -23748*h**2 - 11*h + 495 What is the n'th term of 5620, 23553, 53436, 95269, 149052, 214785, 292468? 5975*n**2 + 8*n - 363 What is the g'th term of 380764, 380783, 380836, 380923, 381044, 381199, 381388? 17*g**2 - 32*g + 380779 What is the a'th term of 46677800, 46677799, 46677798, 46677797? -a + 46677801 What is the i'th term of 1282848, 1282859, 1282870, 1282881? 11*i + 1282837 What is the v'th term of -78383, -156798, -235235, -313676, -392103, -470498, -548843, -627120? 3*v**3 - 29*v**2 - 78349*v - 8 What is the z'th term of 85250, 85272, 85290, 85304, 85314? -2*z**2 + 28*z + 85224 What is the h'th term of 37226, 73356, 109486, 145616? 36130*h + 1096 What is the w'th term of 461097, 921063, 1381029, 1840995, 2300961, 2760927? 459966*w + 1131 What is the n'th term of -9320, -17316, -25312, -33308? -7996*n - 1324 What is the f'th term of 19851, 39727, 59603, 79479, 99355, 119231? 19876*f - 25 What is the u'th term of -80749, -80745, -80741, -80737, -80733, -80729? 4*u - 80753 What is the f'th term of -144, -464, -618, -294, 820, 3036, 6666? 52*f**3 - 229*f**2 + 3*f + 30 What is the g'th term of -2932, -3079, -3482, -4267, -5560, -7487, -10174? -21*g**3 - 2*g**2 + 6*g - 2915 What is the j'th term of 48017, 95826, 143635, 191444, 239253, 287062? 47809*j + 208 What is the c'th term of 704012, 704005, 703998? -7*c + 704019 What is the m'th term of -6774, -53026, -178550, -422982, -825958, -1427114, -2266086, -3382510? -6606*m**3 - 10*m - 158 What is the p'th term of -40375349, -40375343, -40375339, -40375337, -40375337? -p**2 + 9*p - 40375357 What is the m'th term of 551945, 1103923, 1655901, 2207879, 2759857, 3311835? 551978*m - 33 What is the i'th term of 50538, 51248, 51958, 52668, 53378? 710*i + 49828 What is the z'th term of 1674948, 3349898, 5024848, 6699798, 8374748, 10049698? 1674950*z - 2 What is the h'th term of -339170524, -339170523, -339170522, -339170521, -339170520, -339170519? h - 339170525 What is the u'th term of -38914, -311586, -1051754, -2493184, -4869642? -38961*u**3 + 18*u**2 + u + 28 What is the h'th term of 779, 7449, 20017, 38483? 2949*h**2 - 2177*h + 7 What is the g'th term of -617822315, -617822317, -617822319? -2*g - 617822313 What is the k'th term of -4363, -8543, -12721, -16897? k**2 - 4183*k - 181 What is the w'th term of -23605, -94312, -212121, -377032, -589045, -848160, -1154377? -23551*w**2 - 54*w What is the b'th term of -115, -879, -2955, -6997, -13659? -109*b**3 - 2*b**2 + 5*b - 9 What is the p'th term of -3199793, -3199912, -3200033, -3200156? -p**2 - 116*p - 3199676 What is the w'th term of -26426, -104095, -233542, -414767, -647770, -932551? -25889*w**2 - 2*w - 535 What is the p'th term of -7540, -12783, -21536, -33811, -49620, -68975, -91888? -2*p**3 - 1743*p**2 - 5795 What is the s'th term of -15441, -30373, -45305, -60237, -75169, -90101? -14932*s - 509 What is the n'th term of -22693832, -22693840, -22693860, -22693898, -22693960, -22694052? -n**3 - n - 22693830 What is the o'th term of 234, 283, 170, -105, -542? -81*o**2 + 292*o + 23 What is the z'th term of 22551, 22377, 22203, 22029, 21855, 21681? -174*z + 22725 What is the u'th term of -14433563, -14433560, -14433557, -14433554, -14433551, -14433548? 3*u - 14433566 What is the n'th term of -700840, -700834, -700828, -700822, -700816, -700810? 6*n - 700846 What is the o'th term of 24863, 99593, 224143, 398513, 622703? 24910*o**2 - 47 What is the f'th term of 3435, 8094, 13955, 21018, 29283, 38750, 49419? 601*f**2 + 2856*f - 22 What is the b'th term of -189403, -757528, -1704399, -3030016, -4734379, -6817488? -189373*b**2 - 6*b - 24 What is the a'th term of 2541113,
{ "pile_set_name": "DM Mathematics" }
in base 7? 540203 -12233130302 (base 4) to base 3 -10022210011112 What is 40c567 (base 13) in base 6? 52230054 What is -a203a (base 15) in base 6? -14555131 What is -11001210112 (base 3) in base 11? -55156 What is -bacd7 (base 16) in base 13? -20a362 Convert -23222102 (base 5) to base 9. -351265 14316405 (base 9) to base 16 6c4b38 Convert b27c8 (base 14) to base 6. 13112540 -114205 (base 11) to base 5 -21300023 What is -a5277 (base 11) in base 2? -100101011100101111 Convert 2085805 (base 10) to base 8. 7751655 What is -2000110321 (base 4) in base 8? -2002471 Convert -a3538 (base 13) to base 2. -1000111100011100101 2144423 (base 6) to base 14 2b15d Convert -556026 (base 7) to base 4. -113331012 17ee54 (base 15) to base 8 4341705 Convert -220000022011010 (base 3) to base 2. -110000101011010111001111 What is 196728 (base 10) in base 9? 328766 What is 13360223 (base 9) in base 8? 31116704 -3230022213 (base 4) to base 3 -1211010221020 Convert 89232 (base 13) to base 8. 745500 What is 13031200310 (base 4) in base 6? 104303352 Convert b08dc (base 15) to base 10. 558882 -34a11 (base 15) to base 3 -22111221221 Convert -a49ab (base 15) to base 10. -521936 What is -2313013 (base 6) in base 2? -11100111101000001 -1265676 (base 11) to base 9 -4105632 -3214340 (base 5) to base 4 -31101021 Convert 36202 (base 7) to base 15. 2b91 -8887 (base 13) to base 14 -6d1d What is -307024 (base 8) in base 4? -120320110 What is 439756 (base 13) in base 7? 16350025 Convert 12130613 (base 8) to base 10. 2666891 Convert 110000101101001011110 (base 2) to base 5. 402032443 What is 100101010101110000110 (base 2) in base 8? 4525606 Convert 225611 (base 7) to base 16. 9df1 What is 433700 (base 8) in base 9? 241333 What is -5183200 (base 9) in base 10? -2771091 Convert -1573773 (base 9) to base 8. -3255651 101110001000010000 (base 2) to base 8 561020 What is 7a9ba (base 15) in base 11? 247291 -67617 (base 10) to base 4 -100200201 a337 (base 15) to base 10 34477 What is 26a04 (base 11) in base 15? b607 -21121121120220 (base 3) to base 15 -54e223 Convert 12121224 (base 5) to base 7. 653120 Convert -322121131 (base 4) to base 16. -3a65d 200010010212 (base 3) to base 12 152435 -323221100223 (base 4) to base 14 -21100d5 -30051 (base 16) to base 9 -328723 Convert 87982 (base 10) to base 11. 60114 Convert 970485 (base 11) to base 2. 101111011000010001011 What is 111872 (base 11) in base 15? 37b65 783425 (base 11) to base 2 100110000111011011101 Convert 2232000030 (base 5) to base 12. 17aa498 -11110223301 (base 4) to base 2 -101010100101011110001 -500a6aa (base 12) to base 11 -848a888 What is 40190 (base 13) in base 15? 23e05 1231011232 (base 4) to base 14 b8ba6 Convert 1218310 (base 10) to base 9. 2256177 Convert -1634838 (base 12) to base 6. -241301312 Convert -11312321 (base 5) to base 8. -313226 What is aaa0b1 (base 13) in base 6? 222102050 -1300 (base 8) to base 7 -2024 What is 146a34 (base 12) in base 8? 1237110 -2f0e2 (base 16) to base 10 -192738 5b80b (base 14) to base 11 1431a4 Convert 12113030 (base 4) to base 10. 26060 c1a438 (base 14) to base 9 13237486 Convert -3223 (base 11) to base 13. -1c29 -22210110202 (base 3) to base 15 -36462 -420072 (base 8) to base 9 -232102 What is -10001011100100011010 (base 2) in base 5? -121243144 What is -504106 (base 7) in base 8? -246726 What is 3102123442 (base 5) in base 16? 5feb2a Convert 216a7 (base 12) to base 8. 126237 Convert 1d38da (base 14) to base 8. 3775270 Convert -251900 (base 15) to base 5. -423333100 Convert 73009 (base 11) to base 10. 106489 Convert 6e8622 (base 16) to base 9. 14558838 100310220132 (base 4) to base 3 22022001020010 What is 3b23c (base 13) in base 11? 75908 -3611362 (base 7) to base 14 -bc632 10001101111000101001000 (base 2) to base 13 c6a277 -20304224 (base 5) to base 13 -5a84a Convert -19dde0 (base 16) to base 6. -100200052 -2283238 (base 12) to base 3 -110111101210022 What is -26bab3 (base 15) in base 4? -13012212123 What is 57582 (base 9) in base 11? 26928 -1283a5 (base 12) to base 14 -7d073 What is 41c99 (base 15) in base 9? 347270 -12452040 (base 7) to base 13 -30b451 Convert 6388eb (base 15) to base 9. 8820125 8609874 (base 10) to base 3 121012102112020 Convert 913da (base 14) to base 9. 582085 2095581 (base 12) to base 9 12540867 1587031 (base 9) to base 14 1903a9 Convert -8aa8b1 (base 12) to base 3. -11011121120121 -863a7 (base 15) to base 7 -3423136 1211312102 (base 5) to base 14 53c590 Convert 130021030 (base 6) to base 7. 30303333 Convert -1412201 (base 5) to base 12. -1498b Convert -441453 (base 7) to base 2. -10010111001100001 Convert -137262 (base 9) to base 7. -500024 What is -100111001001001111101011 (base 2) in base 12? -352a437 Convert -27476043 (base 8) to base 7. -103426645 Convert -c74cd (base 16) to base 10. -816333 Convert 20a63 (base 14) to base 5. 10011004 Convert 43cb84 (base 13) to base 6. 54135350 What is -25251a (base 11) in base 3? -202020202210 What is -1111110100100111111 (base 2) in base 7? -4256361 -10937 (base 12) to base 8 -53073 What is 18a4 (base 16) in base 12? 3798 Convert 313001 (base 6) to base 7. 133453 Convert -110010011110010100 (base 2) to base 10. -206740 1725423 (base 9) to base 10 961896 What is 81121 (base 12) in base 13? 5b4a7 Convert -10100101110000011000 (base 2) to base 12. -288aa0 Convert 45554641 (base 7) to base 13. a94827 -297a1b (base 13) to base 6 -33443024 What is -1144565 (base 10) in base 2? -100010111011011110101 What is 27fc8e (base 16) in base 3? 11221010201201 Convert 10202021222022 (base 3) to base 13. 54a67c -5736024 (base 9) to base 6 -150154551 What is 23016262 (base 7) in base 2? 111101001011010011010 Convert -2231414100 (base 5) to base 8. -22706156 What is 376653 (base 9) in base 5? 24243412 Convert 173230 (base 9) to base 4. 122031120 What is -2373 (base 11) in base 7? -12024 -109837 (base 10) to base 5 -12003322 Convert -20110210011100 (base 3) to base 6. -201423100 -341105345 (base 6) to base 15 -82b3cb Convert 133102133 (base 4) to base 9. 214718 -123312110 (base 4) to base 14 -2d7da What is 670f (base 16) in base 10? 26383 -964a0 (base 12) to base 3 -101001011210 22625700 (base 8) to base 9 10237667 -85078 (base 16) to base 7 -4426411 What is 10100011010110001100 (base 2) in base 7? 5454431 -128631 (base 10) to base 16 -1f677 Convert -4541453 (base 6) to base 2. -111000011010101001 What is 1023330214 (base 5) in base 10? 2167559 What is -2334447 (base 8) in base 7? -5262536 What is 22602660 (base 7) in base 15? 292dd3 Convert b626 (base 14) to base 8. 75242 32517 (base 10) to base 4 13330011 42425404 (base 6) to base 12 502264 -c77b7 (base 16) to base 14 -173aab What is 32311444 (base 6) in base 16? e9eb4 What is 203c7f (base 16) in base 9? 3868886 Convert 795492 (base 13) to base 4. 22330022220 1110111101100111000110 (base 2) to base 16 3bd9c6 What is -bd5221 (base 16) in base 8? -57251041 -22330313122 (base 4) to base 2 -1010111100110111011010 Convert 65984 (base 10) to base 16. 101c0 -70b580 (base 12) to base 3 -10022111112020 Convert 532 (base 14) to base 8. 2000 Convert 925744 (base 13) to base 10. 3410983 What is -177748 (base 12) in base 10? -407144 What is -10826 (base 15) in base 16? -cced -131201233 (base 4) to base 12 -59ba7 Convert -446038 (base 9) to base 8. -1011141 Convert 4232521 (base 6) to base 10. 206689 Convert 20053 (base 14) to base 15. 17bc0 Convert -23050266 (base 7) to base 9. -3706170 What is -1010010000100011 (base 2) in base 5? -2321034 10111000101111101 (base 2) to base 6 2005525 1611466 (base 8) to base 10 463670 Convert 31320121322 (base 4) to base 10. 3638906 2f87d5 (base 16) to base 8 13703725 Convert 1775166 (base 8) to base 15. a4dd0 -5b5884 (base 12) to base 6 -51433444 Convert 9a251 (base 16) to base 5. 130201002 What is -414231 (base 5) in base 2? -11010101111011 What is c4ad00 (base 14) in base 11? 3823978 10001100110001111011 (base 2) to base 12 23984b Convert 2c0071 (base 16) to base 11. 169a623 What is -bbeab (base 16) in base 5? -144112312 -10623110 (base 7) to base 2 -11100011000111100000 What is 24530414 (base 6) in base 15? 108d7d Convert 8ecbd (base 16) to base 13. 1762ba What is 550313 (base 7) in base 11? 66302 Convert -40413340 (base 6) to base 8. -4313634 -87461 (base 15) to ba
{ "pile_set_name": "DM Mathematics" }
(c) = 9*c**2 - 6*c + 3. Let x(k) = k**2 + k - 1. Let r(m) = h(m) + 3*x(m). Find the second derivative of r(o) wrt o. 24 Suppose 5 = 2*s - 1, 5*n - 2*s = 19. Find the first derivative of -1 - 4 - n*d + 2 - 3 wrt d. -5 Suppose -7*l - 37 = -t - 3*l, 0 = -5*t - 5*l + 60. Find the third derivative of -3*q**4 + 5*q**4 + t*q**2 - 21*q**2 wrt q. 48*q What is the second derivative of -14*r**2 - 5*r + 2*r - 3*r + 4*r wrt r? -28 Let v(t) = 9*t**2 + 4*t. Let z(s) = 18*s**2 + 7*s. Suppose 18 = -4*m - 18. Let b(p) = m*v(p) + 4*z(p). What is the second derivative of b(n) wrt n? -18 Let n(j) = -3*j + 1. Let l be n(-1). Suppose -2 = -3*b + l. Find the second derivative of 3*p - 2*p**2 - p + b*p**2 + p**5 wrt p. 20*p**3 Let w(p) be the second derivative of p**7/168 + p**5/20 + 5*p**3/6 + 4*p. Let i(y) be the second derivative of w(y). Find the second derivative of i(u) wrt u. 30*u Let b(j) = -j. Let f(o) = 5*o**2 + 4*o + 4. Let c(v) = 4*b(v) + f(v). Differentiate c(h) with respect to h. 10*h Differentiate -i**3 - i + 0*i + i - 6 with respect to i. -3*i**2 Let d(b) be the third derivative of -1/35*b**7 + 0*b**5 - 3*b**2 + 0*b + 0 + 0*b**6 - 1/4*b**4 + 0*b**3. Find the second derivative of d(r) wrt r. -72*r**2 Let c(i) = -8*i**2 - 11*i - 9. Let v(s) = 4*s + 2*s**2 - 3*s + 2 + 4*s - 2*s. Let d(a) = 2*c(a) + 9*v(a). Find the second derivative of d(r) wrt r. 4 Let p(m) be the third derivative of 0*m**6 + 0*m**3 + m**2 + 0*m**7 + 0*m + 0*m**4 - 1/48*m**8 + 1/60*m**5 + 0. What is the third derivative of p(w) wrt w? -420*w**2 Find the second derivative of -17 - 5*r**2 + 17 - 5*r wrt r. -10 Let y(l) = -9*l**3 + 4*l**2 + 6. Let n(c) = 18*c**3 - 9*c**2 - 13. Let p(f) = -4*n(f) - 9*y(f). What is the first derivative of p(s) wrt s? 27*s**2 Let o(q) be the third derivative of -q**7/420 + q**5/40 - q**3/3 + 3*q**2. Let s(z) be the first derivative of o(z). Find the second derivative of s(c) wrt c. -12*c Suppose y + 0*y = k - 6, 3*k = -5*y + 2. Find the first derivative of 3*l - k*l - 2*l**2 + 2 + l wrt l. -4*l Let r(x) be the third derivative of 1/40*x**6 - 1/12*x**4 - 3*x**2 + 0*x + 0 + 0*x**3 + 0*x**5. Find the second derivative of r(a) wrt a. 18*a Suppose 3*s - 7*s = -j - 17, 4*s = 20. What is the first derivative of -12*w**j + 5 + 11*w**3 + 4 wrt w? -3*w**2 Let f = 3 + 0. Let k(z) be the second derivative of 0*z**f + 0*z**4 - 3/20*z**5 + z**2 - z + 0. Find the first derivative of k(s) wrt s. -9*s**2 Let j(v) = -v**2 + 6*v - 2. Let p be j(4). Find the third derivative of -p*q**2 - q**5 + 2*q**2 + 5*q**5 wrt q. 240*q**2 Suppose 0 = 3*t + 3*a + a - 26, 5 = a. Find the first derivative of -4*q**2 + 5*q**2 - 2*q**t - 3 + 3*q**2 wrt q. 4*q What is the third derivative of -h**2 - h**2 + 6*h**5 + 30*h - 30*h wrt h? 360*h**2 Find the third derivative of -30*i**2 + i**3 + 18*i**2 - 11*i**3 wrt i. -60 Let b(i) = -12*i**3 - 12*i**2 + 8*i - 8. Let o(n) = -n**3 - n**2 + n - 1. Let l(z) = -b(z) + 8*o(z). What is the third derivative of l(r) wrt r? 24 Differentiate 20*v + 20*v + 2*v**3 - 14 - 40*v wrt v. 6*v**2 Let y(r) be the second derivative of 11*r**4/4 - 5*r**3 + 9*r. What is the second derivative of y(x) wrt x? 66 What is the second derivative of 3*k + 492*k**4 + 8*k - 476*k**4 wrt k? 192*k**2 Let l be (6 - 2)*1/2. Find the third derivative of 0*h**3 + 0*h**3 - 3*h**l - 2*h**3 + h**3 wrt h. -6 Let q(z) = 65*z**4 + 2*z**3 - 2*z**2 + 2*z + 16. Let h(n) = -259*n**4 - 9*n**3 + 9*n**2 - 9*n - 65. Let r(j) = 2*h(j) + 9*q(j). Differentiate r(t) wrt t. 268*t**3 Let a = 18 + -13. Let d = 1 - -1. Find the third derivative of -d*p**6 + a*p**6 - 2*p**6 + 2*p**2 wrt p. 120*p**3 Let k(b) = 2*b - 6. Let t be k(7). Let m be (4 - 9)*t/(-10). What is the second derivative of -m*d**2 + 2*d - 4*d + 6*d**2 wrt d? 4 Let u be (-2 + (0 - -1))*30. Let h be (8/5)/((-6)/u). What is the first derivative of -1 + 8*c**2 - h*c**2 - 3*c**3 wrt c? -9*c**2 Suppose -15 = x - 4*x. Differentiate -3 + 3 - x - 7*z**2 with respect to z. -14*z Let r = -4 + 8. Find the first derivative of 1 - y**2 + y**r - 2 + y**2 wrt y. 4*y**3 Let w(s) be the first derivative of -s**5/5 - s**4/3 - 2*s - 1. Let j(m) be the first derivative of w(m). What is the third derivative of j(n) wrt n? -24 Let g = -179/6 + 30. Let c(r) be the second derivative of g*r**4 + 0 + 0*r**3 + 0*r**2 - r - 1/20*r**5. Find the third derivative of c(m) wrt m. -6 Suppose -7*o = -5*o - 12. What is the derivative of 2*x**2 + 0 + o*x**2 + 2 wrt x? 16*x Let i(u) = -u + 16. Let l be i(11). What is the third derivative of -4 - l*g**2 + g**3 - 4*g**3 + 4 wrt g? -18 What is the derivative of -7*a**3 + 24 - 6*a**3 + 7*a**3 - 6*a**3 wrt a? -36*a**2 Let d(c) = -c**3 + c - 1. Let r(q) = 2*q - 1. Suppose 0*y - 2*y + 12 = 0. Let v = 2 - y. Let i(x) = v*d(x) + 4*r(x). Find the second derivative of i(n) wrt n. 24*n Suppose -p + 5 = 3*r, -2*p = 3*r - 0*p - 1. Find the third derivative of -2*k**2 + 5*k**2 + r*k**3 + 2*k**3 - k**3 wrt k. 24 Find the first derivative of 2*a - 12 - 6*a - 5*a + a wrt a. -8 Let c(q) = 4*q**3 - 5*q**2 - 2*q. Let p(z) = 6*z - 16*z**3 + 15*z**2 + 5*z**2 + 3*z. Let g(u) = 9*c(u) + 2*p(u). What is the third derivative of g(t) wrt t? 24 Let d be (-1 - 1) + 6 + 1. Suppose 3*n - 2*u + 2 = 0, -n + d*u = n + 16. What is the second derivative of -4*z**3 + 2*z + 4*z**3 + n*z**5 + 0*z wrt z? 40*z**3 Let f(u) = 4*u**3 - 2*u**2 + 2*u - 1. Let t be f(1). What is the second derivative of -x**4 + 0*x - t*x + x wrt x? -12*x**2 Let n(c) be the first derivative of 0*c**2 - 5 - 2/3*c**3 - 7/6*c**6 + 0*c**4 + 0*c**5 + 0*c. Find the third derivative of n(o) wrt o. -420*o**2 Let k be ((-4)/(-3))/((-2)/(-6)). What is the second derivative of -3*a**4 + 0*a**4 - k*a**4 + 6*a + 3*a**4 wrt a? -48*a**2 Let c(k) be the third derivative of 5*k**6/24 - 14*k**3/3 - 15*k**2. Differentiate c(p) with respect to p. 75*p**2 Let z(g) be the second derivative of -g**6 - g**2/2 - 32*g. Differentiate z(p) wrt p. -120*p**3 Let p(d) = d**2 - 10*d - 21. Let i be p(12). Let r(t) be the second derivative of 0 - t**2 + 1/3*t**i - 2*t. What is the derivative of r(j) wrt j? 2 Suppose -3*m - m = -40. Let h = 19 - m. Find the third derivative of -5*z**2 - z**3 - 3*z**2 + h*z**2 wrt z. -6 Let u(f) be the third derivative of 11*f**9/504 + f**5/20 + 16*f**2. What is the third derivative of u(p) wrt p? 1320*p**3 Let y(r) = 10*r**3 - 7*r**2 + 5*r. Let g(s) = 11*s**3 - 6*s**2 + 6*s. Let w(l) = -5*g(l) + 6*y(l). Find the third derivative of w(z) wrt z. 30 Let k = -5 - -7. Let q(n) be the first derivative of -n**k + 1 - 1/2*n**4 + 0*n**3 + 0*n. What is the second derivative of q(p) wrt p? -12*p Let p(n) = -n**2 + 3*n. Let c(i) be the second derivative of i**3/2 + 3*i. Let y(k) = -2*c(k) + 3*p(k). Find the second derivative of y(z) wrt z. -6 Suppose -4 = -q - 1. Find the third derivative of 3*l**2 + 3*l + l - 4*l + q*l**3 wrt l. 18 Let k(r) be the third derivative of -r**9/252 - 7*r**5/20 + 3*r**2. What is the third derivative of k(b) wrt b? -240*b**3 Let r be 19/5 - 1/(-5). Suppose -3 = -4*f - 0*f + 3*x, -r*f - 5 = 5*x. What is the derivative of f*d**4 + 2*d**4 - d**4 + 3 wrt d? 4*d**3 Let u = 2 - 0. Find the third derivative of -3*d**u + 4*d**6 - d**6 + 4*d**2 - 2*d**2 wrt d. 360*d**3 Let f(s) be the first derivative of -3/2*s**2 + 0*s + 0*s**5 + 3 + 0*s**4 + 0*s**3 + 1/6*s**6. Find the second derivative of f(q) wrt q. 20*q**3 Suppose -2*r + 0 + 8 = 0. Suppose r - 20 = -4*g. Differentiate 1 + 6*o**g - 7*o**4 - 5 with respect to o. -4*o**3 Let l(v) be the first derivative of -2*v**5/5 - 8*v - 4. Differentiate l(h) wrt h. -8*h**3 Let n(m) = m**5 + 17*m**4 - 17*m**3 + 50*m. Let u(t) = -6*t**4 + 6*t**3 - 17*t. Let h(d) = -6*n(d) - 17*u(d). Find the second derivative of h(f) wrt f. -120*f**3 Let u(v) = -v**3 + 6*v**2 - 2*v + 8. Let m be u(6). Let a be (-70)/(-22) - m/(-22). Differentiate -4*b**2 + 1 - b**a + 4*b**2 wrt b. -3*b**2 Let f(j) be the second derivative of -j**8/1344 + j**5/120 + 5*j**4/12 + 6*j. Let c(r) be the third derivative of f(r). Differentiate c(z) with respect to z. -15*z**2 Find the third derivative of -25*n**2 + 11*n**2 - 45 + 12*n**2 - 66*n**6 wrt n. -7920*n**3 Suppose 5*j - 17 = -3*h, -j = 4*h + 3*j - 20. Suppose 0 - 8 = -h*l. What is the third derivative of -l*v**2 + 0*v**6 + 0*v**6 + v
{ "pile_set_name": "DM Mathematics" }
r + 1)/7 Let o(l) be the first derivative of 4*l**3/3 + 1584*l**2 + 627264*l - 5949. Find k, given that o(k) = 0. -396 Let r(n) be the second derivative of n**5/70 - 19*n**4/42 + 5*n**3/3 - 17*n**2/7 + 723*n - 2. Solve r(j) = 0 for j. 1, 17 Let y be (0/2)/((3 - 4) + -2). Let 9 + 2*k - 15 - k**2 + y*k + 5 = 0. Calculate k. 1 Factor -155*b + 200 - 5/2*b**3 - 85/2*b**2. -5*(b - 1)*(b + 8)*(b + 10)/2 Let b be (-1 + (-36)/45)*5/(-21). Let g(q) = q**3 - q**2 + 4*q + 3. Let n be g(0). Find f such that b*f + 3/7*f**2 - 3/7*f**n - 3/7 = 0. -1, 1 Let w = 5/3298 - -3273/16490. Solve 0 - 1/5*q**5 + 2/5*q**3 - w*q**4 + 0*q + 0*q**2 = 0 for q. -2, 0, 1 Let 178/5*c**4 + 312/5*c + 12/5*c**5 + 892/5*c**2 + 666/5*c**3 - 16 = 0. What is c? -10, -2, -1, 1/6 Suppose -123*x - 313 = -559. Factor 2/5*s**5 + 0 + 0*s + 2/5*s**3 + 0*s**x + 4/5*s**4. 2*s**3*(s + 1)**2/5 Let j(m) be the second derivative of m**5/10 - 5*m**4/3 + 19*m**3/3 + 30*m**2 + 2*m + 317. Find b such that j(b) = 0. -1, 5, 6 Let l be (13/((-39)/18) + 1431/243)*-3. Let m(b) be the first derivative of 0*b + l*b**3 + 3/2*b**2 + 23. Factor m(f). f*(f + 3) Let i(x) = 560*x**2 + 52700*x - 52260. Let o(r) = 9*r**2 + 850*r - 843. Let b(z) = -2*i(z) + 125*o(z). Suppose b(v) = 0. What is v? -171, 1 Let a = 6921 + -62134/9. Let p = a - 152/9. Solve -1/3*s + p - 1/3*s**2 + 1/3*s**3 = 0. -1, 1 Suppose 445 = 100*f + 336 - 691. Suppose -f*d + 22/3 + 2/3*d**2 = 0. Calculate d. 1, 11 Let c = -465862/7 - -66554. Determine n, given that -15/7 + c*n - 1/7*n**2 = 0. 1, 15 Suppose 9*i - 285 = -267. Suppose -6*g**3 - 4*g - 4*g**3 - 9*g**3 + i*g**2 + 20*g**3 - 5*g**2 = 0. What is g? -1, 0, 4 Suppose 4*x - 695 + 100 = -3*b, 2*b + 425 = 3*x. Let j = -142 + x. Suppose -3/2*o**2 + 1/2*o + 3/2*o**j - 1/2*o**4 + 0 = 0. Calculate o. 0, 1 Suppose -48 - 556/5*c - 396/5*c**2 - 84/5*c**3 - 4/5*c**4 = 0. What is c? -15, -4, -1 Let c be (-19)/38*24/3. Let d(w) = 30*w**2 - 10*w - 4. Let q(a) = -32*a**2 + 10*a + 4. Let h(b) = c*d(b) - 3*q(b). What is u in h(u) = 0? -1/4, 2/3 Let k(g) = g**3 - 13*g**2 - 17*g + 35. Let y be k(14). Let q(u) = 16*u + 114. Let z be q(y). Factor 2/5*j**4 + 4/5*j**3 - 2/5 - 4/5*j + 0*j**z. 2*(j - 1)*(j + 1)**3/5 Let j be (-25 - 258/(-12)) + (-410)/(-28). Factor 36/7*o**3 + 72/7*o + 24/7 + j*o**2 + 6/7*o**4. 6*(o + 1)**2*(o + 2)**2/7 Suppose -229*p - 167*p + 613 = -179. Let -24/5*f - 352/5*f**4 - 64/5*f**5 - 548/5*f**3 + 0 - 212/5*f**p = 0. What is f? -3, -2, -1/4, 0 Let g be (2 - 17/10)/(781/(-142) - -7). Factor g*y**2 - 2/5 + 1/5*y. (y - 1)*(y + 2)/5 Let i be ((-21)/10)/((-63588)/7570). Find v, given that -i*v**4 - 5/4*v + 0 + 9/4*v**2 - 3/4*v**3 = 0. -5, 0, 1 Let x be (-9347)/(-719) - 3/((-6)/(-11)). Solve 115/2*i**2 + 3 - 59/2*i + x*i**4 - 77/2*i**3 = 0 for i. 2/15, 1, 3 Let f be -6*(-3 + -3 + 64/12). Suppose j + 9 = 3*u - f, 2*j - 4*u = -16. Factor 60*m + 58*m**j + 26*m**3 + 22*m**2 + 6*m**4 + 9*m**3 - m**4. 5*m*(m + 2)**2*(m + 3) Factor -2*a**3 - 10*a + 0 + 21/2*a**2. -a*(a - 4)*(4*a - 5)/2 Let b(f) = -350*f**3 + 2110*f**2 + 330*f. Let s(d) = -87*d**3 + 527*d**2 + 82*d. Let r(q) = 6*b(q) - 25*s(q). Solve r(k) = 0 for k. -2/15, 0, 7 Let q = 53 + 1. Suppose -4*n - q = -70. Factor 1/8*b**3 + 1/8*b**5 + 0 - 1/4*b**n + 0*b + 0*b**2. b**3*(b - 1)**2/8 What is n in 6*n**3 + 7*n**5 - 85*n**4 + 13*n**5 - 4*n**3 + 12*n**3 + 6*n**3 = 0? 0, 1/4, 4 Let l(c) be the third derivative of c**6/90 - 4*c**5/15 + 2*c**4 - 28*c**3/3 + 2*c**2 + 19. Let u(s) be the first derivative of l(s). Factor u(m). 4*(m - 6)*(m - 2) Let j(v) be the third derivative of -v**5/15 + 136*v**4/3 - 36992*v**3/3 - 3035*v**2. Factor j(s). -4*(s - 136)**2 Let h = -1480/131 + 4964/393. Factor -x - 1/3*x**5 - 2/3 + 0*x**4 + h*x**3 + 2/3*x**2. -(x - 2)*(x - 1)*(x + 1)**3/3 Let f be 18/(-8) + 5 + 12/(-64)*4. Factor 0 + 2/11*a**f + 10/11*a**3 + 0*a. 2*a**2*(5*a + 1)/11 Let w(r) be the third derivative of 1/168*r**7 + 1/24*r**5 + 0*r**3 + 0*r**4 + 56*r**2 + 0*r + 5/672*r**8 + 0 - 5/96*r**6. Find o, given that w(o) = 0. -2, 0, 1/2, 1 Let d = -877348/391 + 38150/17. Factor 20/23 - d*r - 2/23*r**2. -2*(r - 2)*(r + 5)/23 Let m = 11775 - 47073/4. Factor -21/4 - 3/4*t**3 - m*t**2 - 45/4*t. -3*(t + 1)**2*(t + 7)/4 Let h(d) be the third derivative of 90*d**2 + 0*d**3 - 7/60*d**4 - 1/25*d**5 + 1/300*d**6 + 0*d + 0. Determine s, given that h(s) = 0. -1, 0, 7 Factor 11138 - 2*t**3 - 12600*t - 34*t**2 + 13178*t - 1312. -2*(t - 17)*(t + 17)**2 Suppose 26*y - 252 = -58*y. Let p(u) be the second derivative of 0*u**y + 12*u - 1/10*u**5 - 1/3*u**4 + 0 + 0*u**2 + 1/15*u**6. Factor p(i). 2*i**2*(i - 2)*(i + 1) Let o(d) = -2*d**4 + d**3 - 7*d**2 - d. Let q(f) = -7*f**4 + 14*f**3 + 184*f**2 - 422*f - 3675. Let l(y) = -2*o(y) + q(y). Let l(i) = 0. What is i? -5, 7 Let k(h) be the first derivative of -18*h**5/5 + 223*h**4/2 + 118*h**3/3 - 223*h**2 - 100*h - 1003. Suppose k(y) = 0. Calculate y. -1, -2/9, 1, 25 Let n(g) be the third derivative of -g**10/136080 - g**9/17010 - g**8/7560 + 23*g**4/12 - g**2. Let l(u) be the second derivative of n(u). Factor l(o). -2*o**3*(o + 2)**2/9 Let t be (13/(-10))/((-5512)/530). Factor -1/8*v**2 + 3/2 + t*v**3 - v. (v - 2)**2*(v + 3)/8 Let m(f) be the first derivative of f**9/2268 - f**8/840 + f**7/1260 + 22*f**3/3 - 153. Let k(g) be the third derivative of m(g). Factor k(o). 2*o**3*(o - 1)*(2*o - 1)/3 Let p be 1716/624*21/77. Factor 1/4*f**2 - p - 1/2*f. (f - 3)*(f + 1)/4 Suppose 0 = 4*k + 24*y - 28*y + 44, -45 = 4*k - 5*y. Let n be 30/k*(-26)/36 + -2. Factor 1/2*i**4 + 1/3*i**3 - 1/3*i**2 - n + 1/6*i**5 - 1/2*i. (i - 1)*(i + 1)**4/6 Let c(w) be the first derivative of 13*w**5 - 1045*w**4/4 + 1055*w**3/3 - 75*w**2/2 + 4485. Let c(g) = 0. What is g? 0, 1/13, 1, 15 Let d = 2185 + -3182. Let o = d + 1997/2. Factor 0 + 3/2*p**3 - 3/2*p**2 - 3/2*p + o*p**4. 3*p*(p - 1)*(p + 1)**2/2 Let p(z) be the first derivative of -2*z**5/15 + 637*z**4/6 + 2554*z**3/9 + 213*z**2 - 8259. Let p(w) = 0. What is w? -1, 0, 639 Let s(z) be the third derivative of z**5/420 + 10*z**4/21 + 79*z**3/42 + 920*z**2. What is y in s(y) = 0? -79, -1 Let a = -153027 - -153030. Factor -8/13*g**a - 6/13*g**2 - 2/13*g**4 + 0 + 0*g. -2*g**2*(g + 1)*(g + 3)/13 Let v(o) be the first derivative of -3*o**5/20 - o**4/4 + 5*o**3 - 12*o**2 - 49*o + 45. Let p(x) be the first derivative of v(x). Factor p(d). -3*(d - 2)*(d - 1)*(d + 4) Let s(m) be the third derivative of -1/4*m**4 + 1/9*m**5 - 1/180*m**6 - m + 0*m**3 - 83*m**2 + 0. Find l such that s(l) = 0. 0, 1, 9 Suppose -111 = -3*b + 789. Let -27*n**2 + 30*n**3 + 1260*n + b - 18*n**3 + 270*n**2 = 0. Calculate n. -10, -1/4 Let i(x) be the third derivative of 25*x**8/224 + 13*x**7/14 - 27*x**6/10 - 62*x**5/5 + 29*x**4 - 24*x**3 - 77*x**2 + 2. What is v in i(v) = 0? -6, -2, 2/5, 2 Let o(l) be the third derivative of -l**10/453600 - l**9/90720 - l**8/60480 + 97*l**5/60 + 219*l**2. Let z(i) be the third derivative of o(i). Solve z(j) = 0. -1, 0 Let t = 49 - 47. Let g(y) = y**2 - y. Let f be g(t). Determine v so that -12*v**3 - 2*v**2 + 6*v**f - 9 + 5*v**2 + 3*v**4 + 12*v - 3*v**2 = 0. -1, 1, 3 Suppose -1418 + 5018 = 30*w. Let o be 1/(365/w + -3). Solve 28*i**2 - 6 - 88/9*i**3 - o*i + 10/9*i**4 = 0 for i. -1/5, 3 Let f be (2/4)/(13121925/(-109350) - -120). Suppose 29/2*h**3 + f + 1215/2*h + 1/2*h**4 + 297/2*h**2 = 0. Calculate h. -9, -2 Factor -50/3 - 5*a - 1/3*a**2. -(a + 5)*(a + 10)/3 Let j(m) = -10*m**3 + 634*m**2 - 26222*m + 49958. Let b(y) = 31*y**3 - 1901*y**2 + 78665*y - 149879. Let d(s) = -6*b(s) - 19*j(s). Factor d(i). 4*(i - 79)**2*(i - 2) Factor 1/4*u**4 + 355/4*u**2 - 89 - 357/4*u**3 + 357/4*u. (u - 356)*(u - 1)**2*(u + 1)/4 Find g such that 2/5*g**5 - 2/5*g**2 + 2/5*g**4 + 0 - 2/5*g**3 + 0*g = 0. -1, 0, 1 Let s = 6633/8 + -43077/40. Let w = 249 + s. Solve -w*a + 6/5*a**2 + 2/5 - 2/5*a**3 = 0. 1 Let u(m) be the first derivative of -2/5*m**3 + 3/20*m**4 + 227 + 0*m + 0*m**2 + 3/25*m**5. Factor u(k). 3*k**2*(k - 1)*(k + 2)/5 Determine u so that -544/7 - 276/7*u - 2/7*u**2 = 0. -136, -2 Let o(c) be the second derivative of -1/36*c**4 + 5/6*c**2 - 2/9*c**3 - 2 - 66*c. Factor o(z). -(z - 1)*(z + 5)/3 Let q(j) = j**3 + 20*j**2 + 18*j - 41. Let u be q(-19). Let h = u - -74/3. Factor 0*k**2 + 4/3*k + 0*k**4 + 0 + 4/3*k**5 - h*k**3. 4*k*(k
{ "pile_set_name": "DM Mathematics" }
348522? False Is 110055900 a multiple of 10? True Is 27331033 a multiple of 323? False Is 510 a factor of 164517682? False Is 1177071 a multiple of 37? False Is 578 a factor of 230812111? False Is 83540485 a multiple of 9? False Is 2987100 a multiple of 180? True Is 108 a factor of 981452268? True Is 708 a factor of 2015506210? False Is 785577420 a multiple of 460? True Is 8 a factor of 2416415568? True Is 1198 a factor of 5765974? True Does 15 divide 292814485? False Does 1532 divide 25021045? False Is 22 a factor of 6090172? True Is 184 a factor of 18160064? True Is 20 a factor of 85609240? True Does 45 divide 52977330? True Is 140544320 a multiple of 160? True Does 530 divide 3449721770? True Does 22 divide 18984262? True Is 9811308 a multiple of 78? True Is 47488212 a multiple of 9? True Is 36371439 a multiple of 13? True Is 140804319 a multiple of 17? True Is 107 a factor of 127767490? False Is 425 a factor of 1141536913? False Is 2895 a factor of 3811391985? True Is 35758184 a multiple of 44? True Is 181 a factor of 116776675? True Does 10 divide 828985760? True Is 86141250 a multiple of 465? True Does 361 divide 9280949? True Is 7481600 a multiple of 175? True Does 19 divide 57137968? False Does 64 divide 521482190? False Is 685 a factor of 51768190? True Is 1279688819 a multiple of 59? True Does 55 divide 169590465? True Is 541 a factor of 24365318? False Does 1542 divide 128265317? False Does 76 divide 1528868866? False Is 987602675 a multiple of 2725? True Does 16 divide 1013346809? False Is 13 a factor of 58071483? False Does 14 divide 66384251? False Does 25 divide 1002278095? False Is 6 a factor of 34123054? False Does 2582 divide 399621304? True Is 9712826 a multiple of 809? False Is 27524616 a multiple of 8623? True Does 2516 divide 458099709? False Does 102 divide 1756236? True Is 26 a factor of 1398404748? True Is 54448926 a multiple of 153? False Is 75606730 a multiple of 140? False Does 227 divide 13273000? False Is 19057290 a multiple of 105? True Is 54605159 a multiple of 167? True Is 48 a factor of 473201514? False Does 408 divide 204633624? True Is 1446710608 a multiple of 9224? True Is 143613071 a multiple of 2051? True Is 410461482 a multiple of 3? True Does 220 divide 55318314? False Does 3216 divide 941878571? False Is 6 a factor of 426917481? False Is 107194661 a multiple of 870? False Is 38 a factor of 152906946? True Is 12190754 a multiple of 394? True Is 90 a factor of 57707010? True Is 89622498 a multiple of 56? False Is 1132 a factor of 1149585620? True Is 1776828 a multiple of 563? True Does 197 divide 4227034? False Is 136 a factor of 36961082? False Is 736 a factor of 7778048? True Is 113692551 a multiple of 47? False Is 16037310 a multiple of 432? False Is 20 a factor of 71537260? True Is 220 a factor of 47551460? True Is 3987075 a multiple of 7? False Is 2606573 a multiple of 48? False Is 1201 a factor of 6909353? True Is 23 a factor of 1132004542? False Is 428998278 a multiple of 31? False Is 233 a factor of 12660141? False Is 289116482 a multiple of 415? False Is 80 a factor of 73927200? True Is 2792 a factor of 47519103? False Is 40607172 a multiple of 9? True Is 598 a factor of 84466165? False Is 374825179 a multiple of 3491? True Is 72695773 a multiple of 5? False Does 49 divide 3436139118? False Does 24 divide 55423020? False Does 1479 divide 2350014439? False Is 241 a factor of 40388226? True Does 8 divide 127372464? True Is 3889600 a multiple of 544? True Does 1442 divide 46582368? True Does 36 divide 640939783? False Does 931 divide 5824336? True Does 374 divide 39998178? True Is 557 a factor of 1442706309? True Does 423 divide 54721818? True Does 12 divide 2492183? False Is 660 a factor of 36777840? True Does 2891 divide 176340768? False Does 19 divide 194959936? False Is 22645986 a multiple of 382? False Does 54 divide 107875164? False Does 2032 divide 115630777? False Is 17 a factor of 51655809? True Is 330973441 a multiple of 35? False Does 2676 divide 6201436? False Is 14380104 a multiple of 129? False Is 1033200126 a multiple of 119? True Does 173 divide 1176778188? False Is 99836630 a multiple of 106? True Is 2683 a factor of 54955889? True Is 14240 a factor of 1831691494? False Is 114192995 a multiple of 697? True Is 3216955976 a multiple of 26? True Is 449 a factor of 41832432? True Is 365485048 a multiple of 1627? False Is 35662662 a multiple of 1149? True Is 14 a factor of 31800370? True Is 2259 a factor of 191411363? False Is 212193503 even? False Is 271285339 a multiple of 19? False Does 62 divide 3592021974? False Is 10 a factor of 26826220? True Is 38 a factor of 19190311? False Is 59 a factor of 31673389? False Is 237101436 a multiple of 316? True Is 914641447 a multiple of 1601? False Is 12 a factor of 201157525? False Is 186561546 a multiple of 50? False Is 7007418 a multiple of 325? False Does 20 divide 22049580? True Does 2093 divide 65590572? False Is 1233912 a multiple of 21? False Does 475 divide 62858650? True Does 560 divide 46666582? False Is 28 a factor of 24400246? False Is 90765272 a multiple of 1198? True Is 189803538 a multiple of 21? False Does 613 divide 13946363? True Does 51 divide 521091458? False Does 39 divide 4002063? True Is 141951701 a multiple of 2544? False Is 68703341 a multiple of 1231? True Does 4931 divide 1681234312? True Is 371092663 a multiple of 722? False Is 312 a factor of 17838264? False Is 17 a factor of 4969906990? True Is 15 a factor of 46070415? True Is 33347980 a multiple of 2395? True Is 1275 a factor of 36713625? True Is 31 a factor of 66173592? True Is 4078 a factor of 1577717030? True Is 46284681 a multiple of 3? True Does 16 divide 9894057? False Does 162 divide 143455944? False Does 24 divide 66560208? True Does 22 divide 79960668? False Is 228269802 a multiple of 713? True Does 11 divide 7481760? True Is 269186240 a multiple of 48? False Does 13 divide 4548502361? True Does 28 divide 185744832? True Does 65 divide 85168029? False Is 31260853 a multiple of 1675? False Is 1442767879 a multiple of 889? True Does 481 divide 82293328? True Does 29 divide 279966? True Is 72768830 a multiple of 733? False Is 2 a factor of 263051274? True Does 23 divide 3161643240? False Does 3 divide 544698492? True Is 81484064 a multiple of 1184? True Is 26 a factor of 234589336? False Does 3496 divide 31942952? True Is 94 a factor of 237744706? True Is 1418976 a multiple of 11? False Is 19018676 a multiple of 1318? False Does 2424 divide 7222508? False Is 49195755 a multiple of 450? False Does 12 divide 203728887? False Is 37161796 a multiple of 18? False Is 4054 a factor of 3458580912? True Does 473 divide 28205039? False Is 29 a factor of 314647367? False Is 15855993 a multiple of 69? True Is 17 a factor of 16728306? True Is 606501985 a multiple of 24? False Is 293 a factor of 25124164? True Does 88 divide 116276688? True Is 34869374 a multiple of 26? False Is 42 a factor of 96088366? False Is 265367850 a multiple of 55? True Does 146 divide 37377073? False Does 2433 divide 228237050? False Is 10 a factor of 30268120? True Is 291 a factor of 377863791? True Is 20027286 a multiple of 37? True Is 349 a factor of 19071172? False Is 17222016 a multiple of 301? True Is 366623968 a multiple of 31? False Is 56 a factor of 894732496? True Does 20 divide 4025520? True Is 3354 a factor of 122199636? True Is 33 a factor of 31843779? True Does 110 divide 1096794595? False Is 7826 a factor of 2640351532? True Does 12 divide 231925728? True Is 1231121844 a multiple of 306? True Does 6 divide 1822466958? True Does 366 divide 1315618476? True Is 19953378 a multiple of 9? True Is 999076359 a multiple of 782? False Is 40441200 a multiple of 400? True Does 207 divide 31225522? False Does 13 divide 8273044? True Is 12582024 a multiple of 14? True Is 2600946 a multiple of 302? False Is 1169538474 a multiple of 59? True Does 523 divide 137119094? True Is 23 a factor of 59411349? False Is 5729767 a multiple of 79? False Is 7 a factor of 515752755? True Does 75 divide 37557880? False Is 4901328 a multiple of 1616? True Is 71590997 a multiple of 116? False Is 1817493176 a multiple of 98? False Does 124 divide 566011144? True Does 1100 divide 11850300? True Is 771 a factor
{ "pile_set_name": "DM Mathematics" }
and 14. 14 Let y(w) = -w**3 - 5*w**2 - 8. Suppose -2*p + 3*p = -6. Let m be y(p). What is the greatest common divisor of m and 42? 14 Let b = 12 - 7. Suppose 0 = -k + 2, -4*m + k - 3*k + 164 = 0. What is the greatest common factor of b and m? 5 Let v(s) = -s**2 + 12*s - 6. Let z be v(8). Suppose 3*w - z = w. What is the greatest common divisor of w and 26? 13 Let s(n) = -n**2 - 4*n + 1. Let k(z) = z + 1. Let q(x) = -4*k(x) - s(x). Let d be q(-4). What is the greatest common divisor of 22 and d? 11 Let z be 118/6 - 2/(-6). Let p(s) = -5*s - 3*s - 2 + 59*s**2 + 5*s. Let k be p(-1). What is the highest common factor of k and z? 20 Let y = -3 - -4. Let p(l) = l**3 + 5*l**2 + 2*l - 5. Let h be p(-4). Let s be 2/4 - h/(-2). What is the highest common factor of s and y? 1 Suppose -3 - 5 = -4*m, 4*m - 10 = -2*l. Let t = -35 - -43. What is the highest common factor of l and t? 1 Let l = 47 - 21. Suppose 44 + 146 = 5*v + o, -5*o = -4*v + 181. What is the highest common factor of v and l? 13 Let x be (-1)/3*216/(-9). Let y(r) = r**3 - 8*r**2 + r + 9. Let b be y(x). Calculate the highest common factor of 119 and b. 17 Suppose -4*m - 20 = -4*d, -3*m + 0*d - 7 = -d. Let w = m + 2. Let z be 4 - 2 - (-19)/w. What is the highest common divisor of z and 14? 7 Suppose -10 = -4*j - 5*q + 5, 40 = 3*j - 2*q. Suppose o - 5 - 1 = -4*v, -4*o = 2*v - j. What is the highest common factor of o and 5? 1 Let p(r) = 6*r**3 - 3*r**2 + 3*r + 4. Let s be p(6). Suppose 6*m - s = m. Let t be m/14 + (-4)/14. Calculate the greatest common divisor of t and 17. 17 Let b(o) = 6*o**2 + o**3 + 0*o**3 - 3 + 0*o**2. Let w be b(-6). Let t be (w/4)/((-4)/256). What is the highest common factor of 8 and t? 8 Let a(h) = -h**3 + 27*h**2 + 59*h - 25. Let x be a(29). What is the highest common factor of 36 and x? 4 Suppose 3*j = -2*s + 411, -2*s - 5*j + 614 = s. What is the highest common divisor of 71 and s? 71 Suppose 13*t + 8*t - 462 = 0. What is the highest common factor of 22 and t? 22 Let t(s) = -13*s - 5. Let g be t(-5). Let w be ((-9)/(-4))/((-18)/48). Let y be 12 - (-2)/(w/(-9)). Calculate the greatest common factor of y and g. 15 Let r(z) be the first derivative of z**4/4 - z**2 + 4*z - 2. Let j be r(4). What is the highest common divisor of 12 and j? 12 Let x = 4 + -2. Let r = 11 - x. Calculate the greatest common divisor of r and 63. 9 Let b be (0 - -1)/((-2)/(-30)). Suppose 0 = 3*x - 36 - b. What is the highest common factor of 34 and x? 17 Let h(c) = c - 3. Let p be h(6). Let o be p - (-4)/(-2) - -16. Calculate the greatest common factor of 17 and o. 17 Let v be 1/(-4) + 6615/60. Suppose 2*o - 48 = 6*o. Let h = o - -22. Calculate the highest common factor of v and h. 10 Suppose 0 = 4*a - 33 - 27. Calculate the highest common factor of a and 120. 15 Suppose 0 = -2*f + 5*f + 6, 4*f = y - 33. Calculate the greatest common factor of 5 and y. 5 Suppose -d - 3*h = -7 - 6, -h - 1 = -5*d. Let w(n) = 79*n**2 + 1. Let a be w(d). Let f be 1/(4 - 252/64). Calculate the highest common factor of a and f. 16 Let a be ((-9)/((-36)/(-16)))/((-8)/12). Calculate the greatest common factor of 6 and a. 6 Let y be (176/(-10) + 2)/(3/(-20)). What is the greatest common factor of 13 and y? 13 Suppose -2*d = -d - 15. Let o be 6/d - (-146)/10. Calculate the highest common divisor of o and 15. 15 Let t(f) = 83*f**3 + f**2. Let b be t(1). Calculate the greatest common factor of b and 42. 42 Suppose 4*q - 212 - 48 = 0. Calculate the highest common factor of 13 and q. 13 Let m(k) = k**3 - 4*k**2 + 2*k - 4. Let b be m(4). Suppose -b*c = -8*c + 324. Let p = 141 - c. What is the greatest common factor of 12 and p? 12 Let n(d) = 2*d. Let q be n(-1). Let k be q/(-6) - (-16)/(-3). Let a(t) = -t**2 - 7*t - 6. Let o be a(k). What is the highest common factor of 28 and o? 4 Let n = -109 + 113. Suppose -2*t = 3*t - 40. Calculate the greatest common divisor of t and n. 4 Suppose 2*c + 3*g - 51 = -0*g, 3*c - 69 = -3*g. Calculate the greatest common divisor of c and 24. 6 Let o be (1 + 0)/(1/8). Suppose 0 = -0*z + z. Suppose -3*t = z, 4*t + 32 = j + 5*t. Calculate the highest common divisor of j and o. 8 Suppose 6*z + 123 = 3*z. Let t = 115 + z. Suppose t = -4*a + 186. What is the greatest common divisor of 14 and a? 14 Suppose 0 = -5*i + 78 + 32. What is the greatest common factor of 11 and i? 11 Suppose -6 + 14 = 4*l. Suppose -3*s = -l - 4. Suppose s*t - 358 = -2*i, -i + 188 = t + 3*i. Calculate the greatest common factor of 16 and t. 16 Let d(n) = 4*n**2 - 9*n - 2. Let v be d(-5). Suppose -4*l = -74 - 34. Let r = -14 + l. What is the greatest common factor of r and v? 13 Let c = -6 + 15. What is the highest common factor of c and 63? 9 Suppose 3*c - 6*u + 2*u - 6 = 0, 5 = 2*c - 3*u. Let m = 4 + c. Suppose -m*i + 36 = i. Calculate the greatest common factor of 30 and i. 6 Let u be (12/(-24))/((-1)/2). What is the highest common factor of 3 and u? 1 Suppose 65 = -5*l + 4*z - 0*z, 5*z - 52 = 3*l. Let u = 31 + l. Calculate the highest common divisor of u and 33. 11 Let k be (6 - 6)/(2 + 0). Suppose -2*c + 10 + 0 = k. Let p = 17 - c. Calculate the highest common factor of p and 36. 12 Suppose 0*j - 3*j + 288 = 0. Let u be (12/5)/((-1)/(-5)). Calculate the highest common factor of u and j. 12 Let s be (-84)/(-16) + 2/(-8). Suppose -3*l = i - 5, -3 - 2 = -5*i + s*l. Suppose -26 = -i*b + 18. Calculate the greatest common factor of b and 33. 11 Suppose 3*j = 9, -a + j = 2*a - 87. Suppose n - 36 = 39. What is the highest common factor of a and n? 15 Suppose 4 = -2*l + 16. Let z be (-4)/l*(-216)/16. Suppose 5*i - 174 - 186 = 0. What is the greatest common factor of z and i? 9 Let i(u) = 2 + u - u**3 + 3*u - 4*u**2 + 0. Let a(v) = -v**2 - 4*v - 1. Let t be a(-5). Let g be i(t). Calculate the highest common factor of g and 10. 10 Suppose -4*i = -3*i + 9. Let c = i + 49. Calculate the greatest common factor of 60 and c. 20 Let s(v) = -1 - 2*v + 2 + 6 - v. Let b be s(-7). Let n(x) = -4*x**3 + x + 1. Let u be n(-1). What is the highest common divisor of b and u? 4 Let j(m) = m**3 + 2*m**2 + 3*m + 2. Let l be j(-3). Let o be (0 - l) + (0 - 1). Let t = 50 - o. What is the highest common factor of 14 and t? 7 Suppose 46 = 5*j + 4*l - 22, -3*l = 4*j - 54. Calculate the highest common factor of 144 and j. 12 Let g(n) = -n**2 + 5*n + 3. Let w be g(5). Let k be 433/w - (-1)/(-3). What is the greatest common divisor of k and 16? 16 Let b(j) = j**3 - 13*j**2 + 12*j + 26. Let t be b(12). What is the highest common factor of 169 and t? 13 Suppose -4*x + 10 = r - 0*r, -4*r - 2*x + 12 = 0. Suppose -w - 4*k = -0 - 4, -2*w - r*k = -8. Calculate the highest common divisor of w and 20. 4 Suppose -2*i + 6*i + 3*x = 372, -4*x = 5*i - 464. What is the greatest common factor of i and 16? 16 Let a be 6/5*1*5. Suppose -3*n + 149 = 3*h - 2*h, -5*h + 169 = 3*n. What is the greatest common divisor of a and n? 6 Let p = 0 - -1. Let k = 10 + -9. What is the greatest common factor of k and p? 1 Let o(b) = 2*b**2 - 4*b - 2. Let w be o(3). Let r be (-6 - w)/(-2) - 3. What is the highest common factor of 6 and r? 2 Suppose -16*d + 1671 = -1209. Calculate the highest common divisor of 20 and d. 20 Suppose -8*h + 11*h = 216. What is the highest common factor of 9 and h? 9 Let h = -98 - -104. What is the highest common factor of h and 6? 6 Suppose -3*i + 1 = -4*x + 3*x, -20 = -4*x. Let u = i - 0. Let c be -1 + 13 + -4 + u. What is the greatest common divisor of c and 25? 5 Suppose 5*h = 4*a - 0*h - 70, -3*a + 39 = 3*h. Let n = 36 - a. What is the highest common factor of 14 and n? 7 Suppose -4*q - 8 = -8*q. Suppose -125 = -3*w - q*w. Let y be (6*1)/(5/w). Calculate the highest common divisor of y and 10. 10 Suppose -3*s - 4 - 17 = 0. Let b = s - -9. Let d be b/(-11) + (-222)/(-11). What is the greatest common divisor of 50 and d? 10 Suppose -b + 29 = -17. What is the greatest common divisor of 115 and b? 23 Let a(d) = -30*d. Let t be a(-6). Suppose -t = -4*k + 168. Suppose -3*w = 4*r - k, -2*r = w - 7*r - 48. Calculate the greatest common factor of 22 and w. 11 Suppose 5*t = -5*f + 50, -5*t + 6 = -2*t. Suppose -28*m = -5*k - 29*m + 125, 0 = -5*k - 5*m + 145. Calculate the greatest common divisor of k and f. 8 Suppose 39 = 2*i - 31. Let r = -20 + i. What is the hig
{ "pile_set_name": "DM Mathematics" }
p - 7 What is the z'th term of 616, 1214, 1822, 2446, 3092? z**3 - z**2 + 594*z + 22 What is the l'th term of 70, 135, 198, 259, 318, 375, 430? -l**2 + 68*l + 3 What is the q'th term of 49, 72, 119, 196, 309? q**3 + 6*q**2 - 2*q + 44 What is the z'th term of 18, 10, -2, -18? -2*z**2 - 2*z + 22 What is the s'th term of -139, -290, -441, -592? -151*s + 12 What is the m'th term of 73, 70, 67, 64? -3*m + 76 What is the q'th term of 53, 89, 139, 209, 305, 433, 599? q**3 + q**2 + 26*q + 25 What is the h'th term of -17, -7, 11, 37, 71, 113? 4*h**2 - 2*h - 19 What is the r'th term of 1203, 1202, 1201, 1200? -r + 1204 What is the b'th term of 597, 600, 605, 612? b**2 + 596 What is the o'th term of 355, 349, 333, 301, 247? -o**3 + o**2 - 2*o + 357 What is the w'th term of 268, 267, 266, 265? -w + 269 What is the m'th term of -34, -56, -80, -106, -134, -164? -m**2 - 19*m - 14 What is the w'th term of 5274, 5276, 5280, 5286? w**2 - w + 5274 What is the r'th term of 18, 39, 68, 111, 174, 263, 384? r**3 - 2*r**2 + 20*r - 1 What is the x'th term of -228, -232, -236, -240, -244? -4*x - 224 What is the z'th term of -77, -76, -75, -74, -73, -72? z - 78 What is the t'th term of 325, 2635, 8915, 21151, 41329? 331*t**3 - t**2 - 4*t - 1 What is the p'th term of -24, -26, -28, -30, -32? -2*p - 22 What is the n'th term of 2603, 2602, 2601, 2600, 2599, 2598? -n + 2604 What is the k'th term of 14575, 14569, 14561, 14551? -k**2 - 3*k + 14579 What is the l'th term of 159, 388, 649, 948, 1291? l**3 + 10*l**2 + 192*l - 44 What is the i'th term of -176, -166, -142, -98, -28? i**3 + i**2 - 178 What is the i'th term of -80, -253, -426, -599? -173*i + 93 What is the b'th term of -37, -74, -125, -196, -293? -b**3 - b**2 - 27*b - 8 What is the w'th term of 309, 255, 201, 147, 93, 39? -54*w + 363 What is the t'th term of -37, -64, -121, -214, -349, -532, -769, -1066? -t**3 - 9*t**2 + 7*t - 34 What is the n'th term of -50, -48, -42, -32, -18, 0, 22? 2*n**2 - 4*n - 48 What is the h'th term of 48, 104, 168, 234, 296? -h**3 + 10*h**2 + 33*h + 6 What is the c'th term of -1096, -2189, -3280, -4369? c**2 - 1096*c - 1 What is the b'th term of 343, 365, 387, 409, 431, 453? 22*b + 321 What is the t'th term of -10, 14, 62, 140, 254? t**3 + 6*t**2 - t - 16 What is the t'th term of -6, 5, 38, 105, 218, 389, 630, 953? 2*t**3 - t**2 - 7 What is the q'th term of 17, 5, -15, -43, -79? -4*q**2 + 21 What is the w'th term of 7925, 7926, 7927, 7928? w + 7924 What is the r'th term of -118, -123, -118, -97, -54, 17, 122? r**3 - r**2 - 9*r - 109 What is the w'th term of -181, -707, -1591, -2839, -4457, -6451, -8827? -w**3 - 173*w**2 - 7 What is the j'th term of -41, -81, -121, -161, -201? -40*j - 1 What is the f'th term of 18678, 37358, 56038? 18680*f - 2 What is the o'th term of 9, 24, 39, 48, 45, 24? -o**3 + 6*o**2 + 4*o What is the s'th term of 104, 208, 314, 422, 532, 644, 758? s**2 + 101*s + 2 What is the w'th term of -78, -235, -392, -549? -157*w + 79 What is the f'th term of 278, 569, 860? 291*f - 13 What is the x'th term of -1616, -1611, -1592, -1553, -1488, -1391, -1256? x**3 + x**2 - 5*x - 1613 What is the t'th term of -9365, -9367, -9369, -9371? -2*t - 9363 What is the n'th term of -88, -91, -94, -97? -3*n - 85 What is the r'th term of -20, -35, -52, -71, -92? -r**2 - 12*r - 7 What is the l'th term of -548, -1070, -1578, -2066, -2528? l**3 + l**2 - 532*l - 18 What is the n'th term of 252, 246, 240, 234? -6*n + 258 What is the d'th term of -237, -492, -767, -1062, -1377, -1712? -10*d**2 - 225*d - 2 What is the j'th term of -453, -894, -1339, -1788, -2241, -2698, -3159? -2*j**2 - 435*j - 16 What is the v'th term of -33, -51, -73, -99, -129, -163, -201? -2*v**2 - 12*v - 19 What is the n'th term of -22, -46, -94, -172, -286, -442, -646? -n**3 - 6*n**2 + n - 16 What is the o'th term of -303, -1225, -2755, -4887, -7615, -10933? o**3 - 310*o**2 + o + 5 What is the h'th term of -34, -26, 4, 68, 178? 2*h**3 - h**2 - 3*h - 32 What is the g'th term of -667, -1351, -2033, -2713, -3391, -4067? g**2 - 687*g + 19 What is the v'th term of 74, 66, 72, 98, 150, 234? v**3 + v**2 - 18*v + 90 What is the y'th term of -397, -794, -1181, -1552, -1901? y**3 - y**2 - 401*y + 4 What is the p'th term of 110, 100, 90, 80, 70, 60? -10*p + 120 What is the j'th term of -23377, -23376, -23375, -23374, -23373, -23372? j - 23378 What is the r'th term of 14, 20, 20, 14? -3*r**2 + 15*r + 2 What is the x'th term of -64, -65, -66, -67, -68, -69? -x - 63 What is the a'th term of 607, 1209, 1809, 2407, 3003? -a**2 + 605*a + 3 What is the f'th term of 97, 252, 409, 568, 729? f**2 + 152*f - 56 What is the v'th term of 2, 23, 78, 185, 362, 627, 998, 1493? 3*v**3 - v**2 + 3*v - 3 What is the j'th term of 403, 1599, 3593, 6385? 399*j**2 - j + 5 What is the w'th term of -290, -288, -284, -278, -270, -260? w**2 - w - 290 What is the u'th term of 1945, 3892, 5839, 7786, 9733, 11680? 1947*u - 2 What is the l'th term of 43, 137, 221, 289, 335, 353, 337, 281? -l**3 + l**2 + 98*l - 55 What is the a'th term of -7, 43, 127, 245, 397, 583? 17*a**2 - a - 23 What is the y'th term of -106, -105, -104, -103, -102, -101? y - 107 What is the i'th term of 130, 262, 394? 132*i - 2 What is the r'th term of 38, 75, 114, 155, 198, 243, 290? r**2 + 34*r + 3 What is the k'th term of -5933, -5934, -5935, -5936? -k - 5932 What is the p'th term of -185, -186, -191, -200, -213, -230, -251? -2*p**2 + 5*p - 188 What is the t'th term of -264, -514, -750, -966, -1156, -1314, -1434? t**3 + t**2 - 260*t - 6 What is the l'th term of 60, -6, -70, -132, -192? l**2 - 69*l + 128 What is the f'th term of 637, 1271, 1899, 2521, 3137, 3747? -3*f**2 + 643*f - 3 What is the p'th term of -7, -17, -41, -85, -155, -257, -397? -p**3 - p**2 - 5 What is the m'th term of 182, 173, 150, 107, 38, -63, -202, -385? -m**3 - m**2 + m + 183 What is the w'th term of -1, -26, -75, -160, -293? -2*w**3 - 11*w + 12 What is the b'th term of 7, 13, 21, 31, 43, 57, 73? b**2 + 3*b + 3 What is the l'th term of 16, 14, 14, 16, 20, 26? l**2 - 5*l + 20 What is the k'th term of -447, -439, -417, -375, -307? k**3 + k**2 - 2*k - 447 What is the f'th term of 143, 270, 381, 470, 531, 558, 545? -f**3 - 2*f**2 + 140*f + 6 What is the o'th term of -4, 11, 24, 35, 44, 51? -o**2 + 18*o - 21 What is the z'th term of -88, -70, -42, -4? 5*z**2 + 3*z - 96 What is the p'th term of -536, -1071, -1606, -2141, -2676? -535*p - 1 What is the i'th term of 105, 126, 159, 204, 261, 330? 6*i**2 + 3*i + 96 What is the z'th term of -25, -57, -115, -211, -357? -2*z**3 - z**2 - 15*z - 7 What is the u'th term of 620, 619, 616, 611, 604, 595? -u**2 + 2*u + 619 What is the n'th term of 7, -38, -165, -416, -833, -1458, -2333? -7*n**3 + n**2 + n + 12 What is the v'th term of -100, -99, -98? v - 101 What is the w'th term of 60, 59, 58, 57? -w + 61 What is the d'th term of -22, -70, -144, -244, -370, -522, -700? -13*d**2 - 9*d What is the w'th term of -12, -17, -26, -39, -56? -2*w**2 + w - 11 What is the p'th term of 271, 528, 759, 952, 1095, 1176, 1183, 1104? -2*p**3 - p**2 + 274*p What is the c'th term of 110, 229, 348, 467? 119*c - 9 What is the s'th term of 37, 74, 111, 148, 185? 37*s What is the k'th term of 403, 423, 467, 541, 651, 803, 1003, 1257? k**3 + 6*k**2 - 5*k + 401 What is the z'th term of 1104, 1103, 1102? -z + 1105 What is the v'th term of 15, 50, 85, 120, 155? 35*v - 20 What is the g'th term of 22, 9, -6, -23, -42, -63? -g**2 - 10*g + 33 What is the q'th term of 16, 11, 2, -11, -28, -49, -74? -2*q**2 + q + 17 What is the t'th term of 1868, 3737, 5606, 7475? 1869*t - 1 What is the l'th term of 396, 394, 392, 390, 388? -2*l + 398 What is the r'th term of -1081, -1080, -1079? r - 1082 What is the v'th term of 254, 506, 758, 1010, 1262, 1514? 252*v + 2 What is the m'th term of -4, -29, -70, -127, -200? -8*m**2 - m + 5 What is the i'th term of -3, 18, 61, 132, 237, 382? i**3 + 5*i**2 - i - 8 What is the n'th term of 55, 29, 1, -29? -n**2 - 23*n + 79 What is the b'th term of 1022, 1007, 992, 977? -15*b + 1037 What is the c'th term of -437, -1739, -3905, -6935, -10829? -432*c**2 - 6*c + 1 What is the v'th term of -40, -67, -94? -27*v - 13 What is the o'th term of -2, -9, -14, -17, -18? o**2 - 10*o + 7 What is the w'th term
{ "pile_set_name": "DM Mathematics" }
m(1). -20 Let l(q) = q**3 + 9*q**2 + 2*q + 4. Give l(-9). -14 Let a(r) = 2*r**2 - 2*r - 15. Calculate a(-3). 9 Let m(u) = -18*u + 6. What is m(2)? -30 Let i(j) = -21*j + 284. What is i(14)? -10 Let q(c) = c**3 - c**2 - 4*c - 5. Calculate q(-2). -9 Let m(i) = i**3 - 11*i**2 + i - 8. Determine m(11). 3 Let r(h) = h**3 - 12*h**2 + 12*h - 13. Calculate r(11). -2 Let i(s) = -s**2 + 5*s + 52. Determine i(10). 2 Let j(n) = 55*n - 55. What is j(1)? 0 Let v(m) = m**2 + 25*m - 33. Calculate v(-26). -7 Let f(g) = -3*g**2 - 4*g + 1. Calculate f(-3). -14 Let c(b) = 4*b - 13. Give c(7). 15 Let h(t) = -23*t + 2. What is h(-1)? 25 Let r(h) = -h**3 - 4*h**2 - 5. Give r(0). -5 Let a(b) = -2*b**3 + 30*b**2 - b + 3. What is a(15)? -12 Let q(n) = -n + 9. What is q(0)? 9 Let p(c) = 3*c + 1. Determine p(1). 4 Let v(f) = -f**3 - 6*f**2 + 4*f - 13. Determine v(-7). 8 Let p(i) = 2*i**3 - 59*i**2 - 28*i - 56. Give p(30). 4 Let p(a) = a - 14. Calculate p(-3). -17 Let d(v) = 5*v**2 - 18*v - 2. Determine d(6). 70 Let c(n) = -n**2 - 4*n + 8. What is c(3)? -13 Let x(y) = y**3 - 13*y**2 - 11*y + 19. Determine x(14). 61 Let o(c) = c**2 - c - 10. Calculate o(-5). 20 Let k(d) = d**3 - 5*d**2 - 10*d + 12. Give k(6). -12 Let f(w) = 12*w - 515. Give f(43). 1 Let q(r) = r**3 + 27*r**2 - 2*r - 46. Calculate q(-27). 8 Let y(q) = q + 9. Calculate y(8). 17 Let y(f) = -f - 4. Give y(-5). 1 Let n(q) = -2*q**3 + 19*q**2 - 6*q + 15. What is n(9)? 42 Let b(r) = -5*r**2 - 19*r. Calculate b(-4). -4 Let a(m) = -m**2 - 40*m - 208. What is a(-7)? 23 Let r(g) = -2*g**3 + 2*g**2 - 2*g + 2. Give r(4). -102 Let c(d) = -d + 7. Give c(6). 1 Let h(l) = 217*l - 1944. Give h(9). 9 Let k(w) = w**3 - 51*w**2 + 97*w + 49. Calculate k(49). 0 Let v(y) = -y**3 - 3*y**2 + 8*y + 24. Determine v(-4). 8 Let z(p) = -5*p + 21. Give z(8). -19 Let v(w) = -3*w - 1. Give v(-5). 14 Let j(m) = -m + 5. Calculate j(0). 5 Let v(w) = w**3 - 5*w**2 + 14. Calculate v(3). -4 Let l(k) = -k**3 - 6*k**2 - k - 8. Give l(-6). -2 Let a(g) = -9*g - 87. Determine a(-12). 21 Let z(f) = -f**2 - 9*f - 4. Give z(-10). -14 Let o(s) = 17*s + 135. Give o(-8). -1 Let l(n) = -n + 6. Give l(-6). 12 Let c(d) = 2*d**2 + 4*d + 3. Calculate c(-6). 51 Let s(g) = 23*g - 3. Determine s(-5). -118 Let q(t) = -t**3 - 7*t**2 - 5*t + 10. Give q(-9). 217 Let n(d) = -d**2 - 3. Calculate n(-3). -12 Let x(p) = 28*p + 202. Calculate x(-7). 6 Let q(i) = 12*i - 1. What is q(-2)? -25 Let x(w) = 4*w**2 - 23*w + 17. What is x(4)? -11 Let c(d) = -d**3 - 2*d + 12. What is c(0)? 12 Let b(a) = 2*a**2 + 18*a + 11. What is b(-8)? -5 Let z(m) = -m**2 - 3*m. What is z(3)? -18 Let r(o) = o**2 + 11*o - 4. Determine r(-11). -4 Let k(x) = 2*x**3 - x**2 - 4*x - 5. Calculate k(-2). -17 Let v(k) = 4*k - 64. Calculate v(19). 12 Let z(k) = -18*k + 1. Calculate z(-2). 37 Let i(o) = 4*o**2 - 5*o - 4. Determine i(-1). 5 Let l(n) = n**2 - 19*n - 104. What is l(-4)? -12 Let z(c) = 3*c**3 + 16*c**2 - 2*c - 7. Give z(-5). 28 Let i(p) = -p**2 - 11*p - 33. Determine i(-4). -5 Let l(o) = -o**2 + 14*o + 19. Calculate l(15). 4 Let l(z) = -8*z - 478. Calculate l(-60). 2 Let o(h) = 19*h - 26. What is o(1)? -7 Let t(m) = m**3 - 15*m**2 - 21*m + 11. Calculate t(16). -69 Let b(f) = -43*f - 2. What is b(2)? -88 Let f(y) = y**3 + 2*y - 1. Calculate f(2). 11 Let k(m) = -12*m + 3. Give k(5). -57 Let n(d) = d**3 + 17*d**2 - 16*d + 12. What is n(-18)? -24 Let q(b) = 4*b - 6. Give q(2). 2 Let u(v) = 5*v**2 - 9*v - 6. Determine u(-3). 66 Let o(a) = a**2 - 8*a - 162. Calculate o(17). -9 Let k(d) = d**2 + 19*d + 75. Calculate k(-9). -15 Let h(i) = -i**3 - i**2 + 6*i + 1. Give h(-3). 1 Let c(q) = q**2 - 8*q + 12. What is c(4)? -4 Let c(l) = -12*l + 15. Give c(2). -9 Let v(g) = g**3 + 21*g**2 - 22*g + 12. Determine v(-22). 12 Let a(m) = -3*m + 7. Give a(0). 7 Let r(n) = 7*n**3 - n**2 + 3*n + 5. Determine r(-2). -61 Let w(j) = -j**2 + 4*j - 6. Give w(5). -11 Let p(s) = 2*s + 3. Give p(11). 25 Let t(h) = -6*h**2 + 46*h + 5. Determine t(8). -11 Let w(p) = 39*p + 250. Determine w(-7). -23 Let o(p) = -p - 16. Determine o(-11). -5 Let n(o) = o**2 + 9*o - 10. Give n(-11). 12 Let f(a) = -a**2 + 7*a + 13. Give f(8). 5 Let l(k) = -4*k + 3. Calculate l(4). -13 Let n(f) = f**3 - 17*f**2 + 16*f - 4. Give n(16). -4 Let l(r) = -r**3 - 5*r**2 + 15*r + 4. What is l(-7)? -3 Let r(t) = -8*t + 24. What is r(2)? 8 Let h(l) = 2*l**2 + 5*l + 6. Calculate h(-2). 4 Let q(b) = -2*b**2 + 27*b + 8. Calculate q(14). -6 Let f(b) = b**2 - 12*b - 9. Calculate f(12). -9 Let a(n) = -n**2 - 21*n + 14. Determine a(0). 14 Let u(c) = -7*c - 13. Calculate u(-9). 50 Let u(a) = -3*a + 12. Determine u(10). -18 Let m(i) = 25*i - 8. Calculate m(-2). -58 Let v(i) = -44*i**3 + i**2 + i - 1. Calculate v(1). -43 Let b(h) = 8*h**2 + 10*h + 2. What is b(-3)? 44 Let d(z) = z**2 + 6*z + 11. What is d(-6)? 11 Let i(g) = g**3 - 8*g**2 + 10*g + 16. Determine i(6). 4 Let x(v) = -v**2 - 31*v - 163. Calculate x(-24). 5 Let w(r) = r**2 + 4*r. Determine w(-7). 21 Let o(u) = u**2 + 10*u + 22. What is o(-5)? -3 Let f(x) = -x**2 + 16*x + 28. Give f(20). -52 Let o(h) = -h - 4. Calculate o(-7). 3 Let u(o) = -o**3 + o**2 + 14*o + 24. Give u(-6). 192 Let l(p) = 4*p**2 + 24*p - 20. What is l(-7)? 8 Let x(d) = d**2 + 23*d - 3. Determine x(-24). 21 Let p(x) = -4*x + 40. Determine p(11). -4 Let n(x) = -4*x + 53. Calculate n(14). -3 Let y(n) = n. Give y(1). 1 Let t(n) = 5*n - 1. Give t(-1). -6 Let m(h) = -h**2 + 3*h + 12. Calculate m(9). -42 Let n(p) = -3*p**3 - 6*p**2 - 2*p + 5. What is n(-3)? 38 Let q(u) = -13*u**3 - 3*u - 3. Give q(-1). 13 Let r(d) = 2*d - 5. Calculate r(2). -1 Let s(q) = -q**3 + 49*q**2 - 48*q - 4. Determine s(48). -4 Let o(l) = l**3 - 5*l**2 - 9*l + 15. Give o(6). -3 Let y(s) = -6*s**2 - 3*s - 1. Determine y(-2). -19 Let k(s) = -s**2 - 10*s - 8. What is k(-6)? 16 Let k(d) = 5*d + 27. What is k(-5)? 2 Let f(j) = -3*j + 6. Calculate f(3). -3 Let v(z) = z**2 - 5*z + 5. Give v(0). 5 Let g(v) = -14*v**2 - v - 2. Calculate g(-1). -15 Let y(w) = 20*w - 127. Determine y(6). -7 Let w(r) = 4*r + 4. Give w(-1). 0 Let d(h) = 2*h**2 - 16*h - 3. Determine d(8). -3 Let w(v) = -v**3 - 4*v**2 - 8. What is w(-4)? -8 Let n(w) = 3*w - 7. Give n(0). -7 Let b(f) = -f**2 + 5*f + 4. Calculate b(7). -10 Let o(l) = 2*l**2 - 57*l + 214. Give o(24). -2 Let h(q) = q**2 + 8*q + 5. Give h(-8). 5 Let m(h) = -2*h + 59. Determine m(28). 3 Let m(x) = x**3 + 15*x**2 + 4*x - 6. Calculate m(-14). 134 Let w(m) = 3*m**3 + 9*m**2 + 3*m + 3. Give w(-2). 9 Let y(i) = -i**2 - 4*i + 12. Calculate y(-10). -48 Let m(r) = -56*r**3 - r**2 + r. Determine m(1). -56 Let s(r) = -r. What is s(-11)? 11 Let c(k) = -23*k + 47. Calculate c(2). 1 Let f(j) = -j**3 - 9*j**2 + 13*j - 2. Calculate f(-7). -191 Let o(f) = -f**3 + 10*f**2 - f + 10. Give o(9). 82 Let r(h) = h**3 - 16*h**2 + 3*h - 43. Determine r(16). 5 Let t(l) = -l + 13. Calculate t(4). 9 Let q(z) = -z**3 - 4*z**2 + 5*z - 7. Determine q(-5). -7 Let j(h) = -11*h**3 + h**2 - h. Give j(1). -11 Let v(w) = -w**2 + 6*w + 7. Determine v(5). 12 Let h(l) = l**3 - 19*l**2 - 23*l + 30. Calculate h(20). -30 Let x(a) = -4*a + 11. What is x(4)? -5 Let x(d) = -d**2 + 10*d - 12. What is x(2)? 4 Let y(q) = q**2 + 6*q - 13. Give y(-7). -6 Let c(k) = k**3 + 5*k**2 - 3*k + 1. Determine c(-4). 29 Let m(k) = k**3 - 25*k**2 + 40*k - 378. Determine m(24). 6 Let g(s) = 34*s - 410. What is g(12)? -2 Let i(j) = j**3 + 9*j**2 + 10*j + 20. What is i(-8)? 4 Let b(v) = 13*v + 123. Determine b(-9). 6 Let k(m) = -3*m - 15. Calculate k(-6). 3 Let r(l) = -5*l + 117. Give r(17). 32 Let n(z) = 2*z**3 - 10*z**2 - 3*z + 6. Determine n(5). -9 Let y(s) = 7*s - 3. What is y(6)? 39 Let g(l) = -4*l - 38. Calculate g(-8). -6 Let d(y) = -y**2 + 2*y - 1. Determine d(1). 0 Let h(t) = 9*t**3 - 5*t**2 - 6*t - 2. What is h(-2)? -82 Let m(p) = 5*p**2 + 230*p - 230. Determine m(-47). 5 Let d(k) = k**3 + k**2 - 9*k - 9. Give d(-1). 0 Let q(i) = -14*i - 93. What is q(-6)? -9 Let k(y) = -2*y**3 + y + 2. What is k(2)? -12 Let s(c) = c**3 - 16*c**2 - 20*c + 51. Determine s(17). 0 Let z(q) = -q**3 - 8*q**2 - 8*q - 9. What is z(-7)? -2 Let c(g) = -g**3 + 8. Give c(-2). 16 Let l(p) = p**3 + 3*p**2 - 6*p + 7. Calculate l(-5). -13 Let c(q) = q**3 + 9*q**2 - 2*q - 16. Calculate c(-9). 2 Let x(l) = 4*l**2 - 3*l + 1. Det
{ "pile_set_name": "DM Mathematics" }
er when 39 is divided by s. 11 Let d(u) = 2*u**2 + 1. Let z be d(-1). Let k = 0 + z. Suppose 11 = -k*w + 4*t, -2*w + 0*t + 5*t = 19. Calculate the remainder when 5 is divided by w. 2 Let n be (7 - 4) + 1 + -1. What is the remainder when (-5)/((-15)/84) - -3 is divided by 70/6 + (-2)/n? 9 Let p(d) = 9*d - 12. Calculate the remainder when p(9) is divided by 14. 13 Suppose -5*h = 0, c - 12 = 2*h + 16. What is the remainder when c is divided by 10? 8 Let d = 22 - -40. Calculate the remainder when d is divided by 8. 6 Let q(v) = -v**2 + 7*v + 2. Let n be q(7). Suppose -11 = -o - n. Suppose -k + 20 = -o. What is the remainder when k is divided by 15? 14 Let r = 4 - -1. Suppose 1 = t - 1. Calculate the remainder when r is divided by t. 1 Let t(i) = 2*i. Let l be t(1). Suppose -3*u - m + 90 = 0, u - l*u + 34 = -m. Calculate the remainder when 59 is divided by u. 28 Suppose -4*i + 80 = i. Let f(g) = g + 3. What is the remainder when i is divided by f(3)? 4 Let j = 12 + -19. Let f(r) = 8*r + 10. Let i be f(j). Let q = -20 - i. What is the remainder when q is divided by 14? 12 Let w = -10 + 15. Let l = 4 + w. Calculate the remainder when 17 is divided by l. 8 Suppose 2*f + 0*c - 5*c - 110 = 0, 3*f = c + 152. What is the remainder when f is divided by 11? 6 Suppose k - 5 = 11. Let c = 99 - 69. What is the remainder when c is divided by k? 14 Let c = 29 + -3. What is the remainder when c is divided by 10? 6 Suppose 2*k - 60 = -3*k. Calculate the remainder when 35 is divided by k. 11 Let p(q) = -q**2 - 9*q - 10. Let c = 4 - -3. Calculate the remainder when c is divided by p(-7). 3 Suppose 5 = 4*w - 15. Suppose -4 + 1 = y. Let d = w - y. What is the remainder when d is divided by 3? 2 Let i = -9 + 15. Let p be 100/15*i/4. What is the remainder when 7 is divided by 38/10 + 2/p? 3 Let n be (-15)/(((-21)/(-2))/(-7)). Let v = n - -18. Calculate the remainder when 111 is divided by v. 27 Suppose -5*w + 8 = -2*t, -4*w - 3*t + 10 = -t. What is the remainder when 4 - (2 + 1 + -3) is divided by w? 0 Let q(u) = u**3 + 17*u**2 - 37*u + 28. Calculate the remainder when q(-19) is divided by 7. 2 Let h = -17 - -38. Calculate the remainder when 26 is divided by h. 5 Suppose 3*w - 57 = -2*j - j, 5*j = 3*w + 55. What is the remainder when 33 is divided by ((3 + j)*1)/1? 16 Suppose -6 = -2*g - 2. Calculate the remainder when 32 is divided by 2 - 6 - (g - 23). 15 Let y(u) = 3*u**2 + 8*u + 8. Let i = -5 - -28. What is the remainder when y(-6) is divided by i? 22 Let y(o) = -o - 13. Let v be y(-6). Let t = -5 + 11. Calculate the remainder when 342/21 + 2/v is divided by t. 4 Suppose -2*m + 8 = -m. Suppose s = 5*s - 12. Suppose -5*q + 84 = s*l, -67 + 28 = -3*q + 2*l. What is the remainder when q is divided by m? 7 Suppose 5*a - 32 = -12. Let p(r) = r + 6. What is the remainder when p(5) is divided by a? 3 Let s(m) = m**3 - 2*m**2 - 19*m - 2. What is the remainder when 73 is divided by s(6)? 17 Let g = 190 + -54. Calculate the remainder when g is divided by 28. 24 Let n be 2/(-1 - 84/(-82)). Let d = n - 42. Let j = -2 + 16. What is the remainder when d is divided by j? 12 Suppose -d = 3*d - 80. What is the remainder when d is divided by 3*((-26)/(-6) - 2)? 6 Let f = 0 + 3. Suppose s - 14 = -4*z + 8, -s + f*z + 1 = 0. Calculate the remainder when 28 is divided by s. 8 Let p(t) be the first derivative of t**3/3 + 2*t**2 - 6*t + 3. Calculate the remainder when p(4) is divided by 9. 8 Let f(t) = 79*t**3 + 3*t**2 - t - 1. What is the remainder when f(1) is divided by 21? 17 Suppose -6*t + 3*t - 47 = -4*d, -3*d + 4*t + 44 = 0. What is the remainder when 27 is divided by d? 3 Suppose 0*g + 3 = -y - 3*g, 2*y - 5*g = 49. Calculate the remainder when 33 is divided by y. 9 Suppose -6*q = -3*q - 3. Suppose 12 = k + q. Let x(w) = -w**2 - 6*w - 2. What is the remainder when k is divided by x(-5)? 2 What is the remainder when (-8 + 2)/((-6)/20) is divided by 1/7 - (-304)/28? 9 Calculate the remainder when 80 is divided by 9/6*(-28)/(-3). 10 Let o = -5 - -7. Suppose 0 = -5*g - 5*h - 17 + 42, -o*g - 25 = -5*h. Suppose 2*i + i - 39 = g. What is the remainder when 24 is divided by i? 11 Let l = 26 + -15. Let a be 14/6 + (-1)/3. Let f = 8 - a. Calculate the remainder when l is divided by f. 5 Let b be (-510)/(-12) - (-1)/(-2). Let p = b + -4. Suppose -6*d + 5*q + p = -4*d, -5*q + 32 = 3*d. What is the remainder when 41 is divided by d? 13 Let c be 0/(-1 + 0 + 0). Suppose -5*v + 3*m + 5 = 0, -3*m = v - 7*m + 16. Suppose -2*j = -c*j - v. Calculate the remainder when 3 is divided by j. 1 Suppose 8*c - 176 = -64. Calculate the remainder when 65 is divided by c. 9 Let p(g) = -g**3 - 8*g**2 + 5. Let u be p(-8). Calculate the remainder when 97 is divided by 130/u - (-2)/(-2). 22 Let c(y) = 8*y - 5*y**3 - 8 + 5*y**2 + 5*y**3 - y**3. Let l(w) = w**3 - 3*w**2 - 3*w + 2. Let v be l(4). What is the remainder when c(v) is divided by 3? 1 Suppose -5*n = -2*g + 8 + 29, g = 2*n + 17. Calculate the remainder when 31/2*(-11 + 13) is divided by g. 9 Suppose c + 5*s = 8 + 4, 4*c + 4*s = 16. Suppose -4*w - 2*f + 58 = -296, 157 = c*w - 3*f. What is the remainder when w is divided by 22? 20 Calculate the remainder when 27 is divided by (12/(-14))/((-318)/(-84) - 4). 3 Suppose 0 = 3*m - 51. Suppose 3 = 2*c - 1. Suppose -y - 49 = -c*y. What is the remainder when y is divided by m? 15 Suppose 869 = 10*d + 99. Calculate the remainder when d is divided by 16. 13 Let y(m) = -m**3 + m. Suppose -3*l - l + 52 = 0. Calculate the remainder when y(-3) is divided by l. 11 Let o(c) be the second derivative of c**3/2 - c**2/2 + 3*c. Calculate the remainder when o(2) is divided by 3. 2 Let f(y) = 4*y - 55. Calculate the remainder when 51 + 0 - 0/1 is divided by f(17). 12 Let l be 0*(0 + 1/1). Suppose -2*a = -4*z + 2*a - 48, l = 3*z + a + 32. Let q = z - -19. What is the remainder when 22 is divided by q? 6 Suppose s + 3*x - 74 = 0, -4*s - x = -152 - 177. Calculate the remainder when s is divided by 17. 15 Let z = 48 + -38. Let l(x) = 5*x - 11*x - 1 + 0. What is the remainder when l(-5) is divided by z? 9 Suppose -3*o = -10*o + 161. What is the remainder when 91 is divided by o? 22 Suppose 2*b = 3*b - 8. What is the remainder when 14 is divided by (b/3)/(6/9)? 2 Let a be (1*-1)/(5/35). Let i = a + 17. Calculate the remainder when 48 is divided by i. 8 What is the remainder when 22 is divided by 2/(-10) - ((-46)/5 + -3)? 10 Suppose 14 = -4*p + 486. Suppose -59 - p = -3*w. Calculate the remainder when w is divided by 20. 19 Suppose 2*n = n + 5. Calculate the remainder when n is divided by 4. 1 Let b be (7 - 1)/(1 - 0). Let n(r) = r**3 + 6*r**2 + 5*r + 3. Calculate the remainder when n(-4) is divided by (5 - 1)/(b/12). 7 Let b(i) = i**3 - 6*i**2 - 2*i - 12. What is the remainder when 66 is divided by b(7)? 20 Suppose 0 = 5*x + 4*t - 191, 5*x = 2*x + 2*t + 97. Calculate the remainder when x is divided by 9. 8 Let m = 25 + -9. Let y(t) = -4*t - 25. What is the remainder when y(-14) is divided by m? 15 Let a be (-30)/(-8) - 3/(-12). Suppose -84 = 5*k - 3*w - 2, 44 = -a*k - 3*w. Let j = 23 + k. Calculate the remainder when j is divided by 5. 4 Let x(j) = 8*j - 3. Let y(b) = b**2 + 4*b - 2. Let u be y(-5). What is the remainder when 123*(1 - (-4)/(-6)) is divided by x(u)? 20 Suppose 4*y = 3*y - 2*o, 3*y - 3 = -3*o. Suppose -y*w + 13 = -39. Suppose w = 2*x + 8. What is the remainder when 16 is divided by x? 7 Let j = 19 - -2. Let i = 787 - 776. What is the remainder when j is divided by i? 10 Suppose 7*n = 3*n + 56. Let j(f) = f**2 - 3*f - 13. Suppose -2*d + 3 = 5*i, -4*i + 10 + 23 = 5*d. What is the remainder when j(d) is divided by n? 13 Suppose 0 = -5*r + 4*r - p + 15, -3*r + 13 = -5*p. Calculate the remainder when 24 is divided by r - ((4 - 2) + -4). 11 Suppose m = 55 + 32. What is the remainder when m is divided by 30? 27 Suppose 5*x = 8*x - 63. What is the remainder when x is divided by 3? 0 Suppose 9*a + 51 - 204 = 0. Let i(t) = 2*t**2 + 12*t. What is the remainder when i(-8) is divided by a? 15 Suppose -49 = -4*f + 3*g, -g + 16 = 3*f - 37. Calculate the remainder when f is divided by 11. 5 Let h(j) = -j**2 - 8*j + 3. Let p be h(-9). What is the remainder when 25 is divided by 10 - p*1/2? 12 Let j = 11 - 6. Calculate the remainder when
{ "pile_set_name": "DM Mathematics" }
9. Let i = -32/3 - m. Find r such that 0 + i*r**3 + 2/3*r**2 + 1/3*r = 0. -1, 0 Let x = -1/309 + 2850/103. Let n = x + -25. Suppose -n - 2/3*g**2 + 8/3*g = 0. What is g? 2 Suppose 2*q + 3 = 3*q. Let t be 2 + -3 + (q - 2). Factor 2/7*v**2 + 0*v + 0 + t*v**3 - 2/7*v**4. -2*v**2*(v - 1)*(v + 1)/7 Let u(s) be the third derivative of 1/84*s**8 + 0 + 0*s + 7*s**2 + 1/30*s**6 + 0*s**4 + 0*s**5 - 4/105*s**7 + 0*s**3. Factor u(p). 4*p**3*(p - 1)**2 Let x(z) be the third derivative of 0*z - 3/8*z**6 + 7/48*z**8 - 7/15*z**5 + 2/15*z**7 - 1/6*z**4 + 0 - z**2 + 0*z**3. Let x(c) = 0. Calculate c. -1, -2/7, 0, 1 Let u(h) be the second derivative of 0*h**4 + 2*h + 0*h**3 + 0 + 0*h**2 - 1/20*h**5. Factor u(s). -s**3 Let p(o) be the second derivative of 8*o - 3/4*o**2 - 1/16*o**4 + 3/8*o**3 + 0. Factor p(m). -3*(m - 2)*(m - 1)/4 Let b be -5 + 4/2 - -3. Suppose -5*x - 2*p - p + 10 = b, 5*p - 10 = -5*x. Find j such that 0*j**x + 0 + 0*j - 1/3*j**4 - 1/3*j**3 = 0. -1, 0 Let j be (3 - 46/16)*(-4)/(-6). Let s(q) be the second derivative of -j*q**3 - q + 1/8*q**2 + 0 + 1/48*q**4. Let s(p) = 0. Calculate p. 1 Suppose 0 + 5/6*o**3 + 5*o**2 + 0*o = 0. Calculate o. -6, 0 Solve -6/7*h**2 + 2/7*h**4 + 4/7*h + 0 + 0*h**3 = 0. -2, 0, 1 Let s(u) = 3*u - 2. Let j be s(3). Suppose 0 = -2*x - 1 + j. Suppose 1/2*q - q**2 + 1/2*q**x + 0 = 0. Calculate q. 0, 1 Let k = -177 - -180. Factor 2/5*p**2 + 0*p**4 - 1/5*p**5 + 4/5*p**k - 2/5 - 3/5*p. -(p - 2)*(p - 1)*(p + 1)**3/5 Find o, given that -8*o**2 + 2 - 2*o**3 - o**3 + 4*o + 6*o**4 - o**3 = 0. -1, -1/3, 1 Suppose 4*l - 64 = -0*l - 5*q, 2*l - 5*q - 32 = 0. Factor 8 - l*b**2 + 4*b**2 + 19*b - 15*b. -4*(b - 1)*(3*b + 2) Factor 2*w**4 - 2*w**2 - w**3 + 2*w + 0*w - w**3 + 0*w**3. 2*w*(w - 1)**2*(w + 1) Solve 0*q + 5/3*q**2 - 10/3*q**5 + 0*q**3 - 5*q**4 + 0 = 0. -1, 0, 1/2 Let r(t) be the first derivative of 3/2*t**4 + 3 - 3/5*t**5 - 1/2*t**6 - 3/2*t**2 + 2*t**3 - 3*t. Factor r(i). -3*(i - 1)**2*(i + 1)**3 Let g = -64 + 125/2. Let q = -5/4 - g. Solve 1/4*r - 1/2*r**2 - q*r**3 + 1/2 = 0 for r. -2, -1, 1 Let l(y) be the second derivative of y - 1/27*y**4 - 1/27*y**3 - 1/90*y**5 + y**2 + 0. Let n(x) be the first derivative of l(x). Find f such that n(f) = 0. -1, -1/3 Let k(y) = -3*y - 10. Let r be k(-4). Suppose -3 = -r*v + 1. Factor 2/3*s**3 + 0*s + 0 - 2/3*s**v. 2*s**2*(s - 1)/3 Let n be 2*3/(-2) - -18. Let g be ((-16)/(-20))/(9/n). Let -12*v**4 - 44/3*v**3 + g - 10/3*v**5 - 16/3*v**2 + 2*v = 0. What is v? -1, 2/5 Let m be (-1 - 9) + -2 + 4. Let v = m - -10. Determine x, given that 1/2 + 1/4*x**3 - 3/4*x + 0*x**v = 0. -2, 1 Let l(m) = -m**2 - 5*m - 2. Let h be l(-4). Factor q**2 + 4 + 0*q**h - 3*q**2 + 2*q + 0*q**2. -2*(q - 2)*(q + 1) Suppose 0 = -0*m + 3*m - 12. Let q be 6/m + 8/16. Factor 13*g**3 - 9*g**2 + q - 3*g**4 - 2*g + g - 2*g**4. -(g - 1)**3*(5*g + 2) Let f(w) be the first derivative of w**4/26 + 10*w**3/39 + 8*w**2/13 + 8*w/13 + 2. Factor f(o). 2*(o + 1)*(o + 2)**2/13 Suppose 0*o = 3*o - 60. Suppose -4*t - d + 6*d - 5 = 0, 3*d - o = -t. Solve 2*i**2 + 1/2*i + 1/2*i**t + 0 + 3*i**3 + 2*i**4 = 0 for i. -1, 0 Suppose 3*v - v = 0. Suppose y + 4*y - 10 = v. Solve y*i**3 - 4*i + i + i = 0 for i. -1, 0, 1 Let h(a) be the first derivative of -a**4/4 + 2*a**3/3 + a**2/2 - 2*a + 30. Factor h(n). -(n - 2)*(n - 1)*(n + 1) Let c(d) be the second derivative of d**4/4 - d. Solve c(g) = 0. 0 Let l(f) = 5*f**2 - 7*f - 12. Let r(p) = 2*p**2 - 2*p - 4. Let i(m) = -4*l(m) + 11*r(m). Determine d, given that i(d) = 0. -2, -1 Let f = 34 + -24. Let c = -6 + f. Let o(r) = -14*r**4 + 6*r**3 - 14*r**2. Let t(l) = 5*l**4 - 2*l**3 + 5*l**2. Let d(g) = c*o(g) + 11*t(g). Factor d(n). -n**2*(n - 1)**2 Let c(v) = 51*v**4 + 380*v**3 + 849*v**2 + 711*v + 151. Let a(t) = -13*t**4 - 95*t**3 - 212*t**2 - 178*t - 38. Let n(r) = 9*a(r) + 2*c(r). Factor n(p). -5*(p + 2)**3*(3*p + 1) Let x = 4119/5 + -819. Factor 32/5 + x*t**2 - 48/5*t - 4/5*t**3. -4*(t - 2)**3/5 Let n(i) be the second derivative of -7*i**5/20 + i**4 - i**3/2 - i**2 + 5*i. Solve n(q) = 0 for q. -2/7, 1 Let g be (-40)/(-6) - 6/9. Let o be (-16)/g + 6/2. Factor 0 - o*d**2 + 0*d. -d**2/3 Let i(v) be the second derivative of v**5/60 + v**4/18 - v**3/18 - v**2/3 - 29*v. Find x such that i(x) = 0. -2, -1, 1 Let c(j) = 18*j**3 - 42*j**2 + 32*j - 10. Let y(f) = 36*f**3 - 84*f**2 + 64*f - 21. Let t(l) = 10*c(l) - 4*y(l). Factor t(n). 4*(n - 1)*(3*n - 2)**2 Let f(x) = 6*x**2 + 6*x - 3. Let b(c) = 5*c**2 + 7*c - 2. Let n(k) = 3*b(k) - 2*f(k). Determine l so that n(l) = 0. -3, 0 Let n(l) be the second derivative of -l**6/20 - 3*l**5/40 + 3*l. Factor n(t). -3*t**3*(t + 1)/2 What is l in 20*l**3 - 1047*l**4 + 10*l + 20*l**2 + 2 + 2*l**5 + 0*l**5 + 1057*l**4 = 0? -1 Solve -24/7*q**3 + 20/7*q**4 - 6/7*q**5 - 2/7*q + 0 + 12/7*q**2 = 0. 0, 1/3, 1 Let h = -625 + 7489/12. Let q = -2/3 - h. Solve 1/2*s - 1/4*s**4 + 5/4*s**2 + 0 - q*s**5 + 3/4*s**3 = 0. -1, 0, 2 Let s(d) be the third derivative of -d**8/1512 + d**6/270 - d**4/108 - 3*d**2. Factor s(l). -2*l*(l - 1)**2*(l + 1)**2/9 Let z(i) = i**2 - 3*i + 2. Suppose -5*s - 3*y = -19, -s = -5*s + 4*y - 4. Let j be z(s). Solve 2/5*b**5 + 0 + 0*b + 0*b**2 - 2/5*b**4 + j*b**3 = 0 for b. 0, 1 Let s(h) be the first derivative of -2*h**3/3 + 2*h**2/5 - 4. Factor s(o). -2*o*(5*o - 2)/5 Let k(b) be the second derivative of b**7/210 + 2*b**6/75 + b**5/20 + b**4/30 + 6*b. Determine f so that k(f) = 0. -2, -1, 0 Let q be (((-4)/(-8))/(1 + 0))/1. What is h in -q*h**4 + 1/2*h**2 + 1/2*h**3 + 0 - 1/2*h = 0? -1, 0, 1 Let 2/9*u**2 + 8/9 - 10/9*u = 0. Calculate u. 1, 4 Let r = -9 - -5. Let j be r/(-14) - 94/(-14). Suppose -5 - y + 16*y**2 + 1 + 6*y**3 + j*y = 0. What is y? -2, -1, 1/3 Factor -2*o - o**2 - 1 + 5 - 1. -(o - 1)*(o + 3) Let z(r) be the second derivative of -r**6/80 - 27*r**5/160 - 11*r**4/16 + 6*r**2 + 14*r. Solve z(i) = 0. -4, -2, 1 Let x(d) = -2*d**2 + 10*d + 52. Let k be x(8). Determine c so that 1/4*c - 1/4*c**2 - 1/4*c**3 + 1/4*c**k + 0 = 0. -1, 0, 1 Let m be 0 - (-2)/(-2) - -7. Find s such that -3*s**5 - m*s**2 + 9*s**3 + s**4 - 3*s + 2*s**4 - 3*s**3 + 3 = 0. -1, 1 Let g(f) = -f**2. Let v(a) = 4*a**2 + 16*a + 64. Let x(c) = 3*g(c) + v(c). Find i such that x(i) = 0. -8 Let i(w) be the third derivative of -w**8/42 + 16*w**7/105 - 3*w**6/20 - 13*w**5/30 + 13*w**4/12 - w**3 - 2*w**2 - 15. Find h, given that i(h) = 0. -1, 1/2, 1, 3 Let z(l) be the third derivative of 9*l**7/175 + 9*l**6/100 - 3*l**5/25 - 7*l**4/15 - 8*l**3/15 - 12*l**2. Suppose z(i) = 0. Calculate i. -2/3, 1 Find g, given that -1/5 - 3/5*g - 1/5*g**3 - 3/5*g**2 = 0. -1 Suppose -2*x = -4 - 2. Solve -2*j**x - 7*j - 5 + 0*j**3 + 4*j**2 + 9*j + 1 = 0 for j. -1, 1, 2 Let s(r) = -3*r**2 + 2*r + 1. Let t(k) = 21*k**2 - 15*k - 6. Let n(z) = -27*s(z) - 4*t(z). Let n(h) = 0. What is h? 1 Determine w so that 8/3*w - 2/3*w**2 - 2 = 0. 1, 3 Let d(y) = -y**3 - y**2 + 3*y + 1. Let a be d(-3). Let s be -8*(2 - a/4). Factor -2*r**2 - 6*r**s + r**5 + 3*r**3 + r**2 + 3*r**4. r**2*(r - 1)**3 Let z(w) be the second derivative of -w**8/36960 + w**6/3960 + w**4/3 - 5*w. Let d(b) be the third derivative of z(b). Factor d(n). -2*n*(n - 1)*(n + 1)/11 Let j(k) = -6*k**2 - 14*k + 8. Let z(c) = 4*c**2 + 9*c - 5. Let w(p) = 5*j(p) + 8*z(p). Factor w(a). 2*a*(a + 1) Let v(m) be the second derivative of m**4/12 - m**3/3 - 3*m**2/2 + 2*m. Factor v(q). (q - 3)*(q + 1) Let k(t) = 2*t**3 - t**2 - 3*t + 3. Let n(j) = -j**3 - j**2 - 1. Let p(o) = -k(o) - 3*n(o). Factor p(c). c*(c + 1)*(c + 3) Let l(s) be the third derivative of -s**5/12 + 5*s**4/24 + 5*s**3/3 - 44*s**2. Determine k so that l(k) = 0. -1, 2 Let i(x) be the third derivative of 0 + 0*x**4 + 0*x - x**3 + 1/15*x**5 + x**2. Let c(g) = g**3 + 3*g**2 - 5. Let z(h) = -2*c(h) + 3*i(h). Solve z(r) = 0. -1, 2 Let s(v) be the first derivative of 1/21*v**4 + 0*v**3 + 2 + 2*v + 0*v**2 + 1/70*v**5. Let o(t) be the first derivative of s(t). Factor o(n). 2*n**2*(n + 2)/7 Let q(w) = -w**4 - w**3. Let o(i) = -3*i**4 + 13*i**3 - 4*i**2. Suppose -10 = j + 3*u, 4*j + 4*u + 1 = 5*u. Let b(m) = j*o(m) - 3*q(m). Factor b(a). 2*a**2*(a - 1)*(3*a - 2) Let s(n) be the first derivative of 2*n**5/15 + 5*n**4/6 + 2*n**3 + 7*n**2/3 + 4*n/3 - 35. Find w such that s(w) = 0. -2, -1 Solve -3/4 + 3/2*i**3 - 1/4*i**4
{ "pile_set_name": "DM Mathematics" }
*(-1 + (-7)/(-3)). 2 What is the value of ((-2)/((-80)/30))/((-3)/(-8))? 2 What is (3 + -3)/(-17 + 19)? 0 Evaluate (-12)/468*-71 - (-5)/(-3). 2/13 What is ((-11)/(-3) - 6/(-18)) + -1? 3 What is the value of -8 + (707/35 - 12)? 1/5 (-8)/(-80) + (-1215)/150 -8 What is 3 + 0 + -1 + 1/1? 3 What is (-40)/12 - (-7 + (-119)/(-21))? -2 What is -9 - ((5 - 9) + 2)? -7 What is the value of ((-2)/5*1)/(2/10)? -2 What is (171/(-180))/(-19)*-4? -1/5 What is the value of -9 + 13 + (-4 - 2)? -2 -4 + 4/(-2)*-4 4 What is the value of (-20)/25 - ((-12)/4 - -3)? -4/5 Calculate (-225)/20 - -6 - -5. -1/4 What is the value of -1 - (0 + (0 - -2))? -3 Evaluate 42/70 - (-268)/(-380). -2/19 What is the value of 75/(-1890) - (-5)/45? 1/14 Evaluate 50/10 - (-4 - 8/(-4)). 7 What is (75/450)/(1/2)? 1/3 What is (-2)/(-8) + (-1755)/(-260)? 7 Calculate ((-2)/(-20))/((-968)/(-165) - 6). -3/4 -4 - (1 - 1)/(-4) -4 Evaluate (-2)/1 - -5 - 5. -2 ((-2)/7)/(4/(6 - 2)) -2/7 Evaluate (-2)/12*(-3 + 102/18). -4/9 What is 11 - (1 - (-9 + 1 + 3))? 5 Evaluate (8/52 - (-46)/39) + 0. 4/3 What is (-13)/((-65)/(-20)) - (-102)/25? 2/25 What is the value of ((-60)/(-25))/(15/25)? 4 Calculate 6/((-60)/35) + (2 - -1). -1/2 Evaluate 15/(75/10) + -7. -5 (-72)/324 - 26/45 -4/5 What is the value of 52/(-18) - (-19 - -16)? 1/9 Evaluate (2/3)/(38/114). 2 What is -4 + -7 + 8 + 8? 5 What is the value of ((-102)/(-30) + -4)*-5? 3 Calculate 12/(-21) - 24/(-56). -1/7 42/(-8) + 3 - (-4 + 3) -5/4 Calculate 70/50*5 - 0. 7 Evaluate ((-10)/8)/(2/(-8)). 5 Evaluate 0*((-1)/4 - 33/44). 0 What is the value of -13 + (-52)/(-24)*6? 0 (-6)/((-30)/25)*-1 -5 Evaluate 10 + (-730)/75 - (-4)/10. 2/3 Evaluate ((-5)/5 + 6)*-1. -5 5*((-1)/4)/(-1)*4 5 What is 7 - (-5 + 6) - -3? 9 Evaluate (((-190)/20)/(-19))/(2/(-36)). -9 6*(-5)/15 + 1*7 5 What is the value of (1/(-3))/(132/594)? -3/2 Calculate (42/30 + -1)*-2. -4/5 Evaluate 29/(-4) + (-225)/(-180) + -1. -7 What is ((-6)/(-4))/((-27)/(-72))? 4 What is the value of ((-5)/20)/(10/(-16))? 2/5 What is (-120)/(-1050) + 2/(-5)? -2/7 16/12*(-18)/(-8) 3 What is 13/13*(-1 - 2)? -3 33/(-2)*48/72 -11 What is (7/3 - 12/(-18))*1? 3 What is 8/117 - (-20)/130? 2/9 Calculate (33/154)/((-2)/(-4)). 3/7 What is 10/4*(-2)/10? -1/2 -7 + 11 + (-32)/15 + -2 -2/15 Calculate 22*(-19)/(-1881) - 68/(-18). 4 Calculate ((-4 - -1)/6*0)/(-2). 0 Calculate (-30)/5 - 1/(-7)*40. -2/7 What is 8/(-54)*(-24)/16? 2/9 What is the value of -9 + 5 - 62/(-14)? 3/7 Evaluate (-5)/7*9/15*1. -3/7 What is (-3)/1 + 4 + 54/(-9)? -5 Calculate -1 + 7 + (-32)/5. -2/5 -6 + 52/8 + 5/(-30) 1/3 What is (-49)/70*(-24)/42? 2/5 What is the value of (-1 - 9/(-5))*(-14)/28? -2/5 What is -11 + 16 + (-60)/10? -1 (2 + 33/(-15))/1 -1/5 Calculate 8/36 + 86/18. 5 Evaluate 4 + (2 - (-132)/(-18)). -4/3 Calculate -35 + 28 - 7*-1. 0 Evaluate (6/(-4))/((-45)/30). 1 8/(-28) - 33/154 -1/2 What is the value of 4/((-2)/(-9)*-6)? -3 What is ((-2)/(-2) + -16 + 13)/(-3)? 2/3 ((-6)/9*6)/(-25 + -1) 2/13 Evaluate 3/(141/6 - 7). 2/11 Calculate -3 + 6 + -2 + (-48 - -40). -7 42/(-12) - 3/6 -4 Evaluate ((-2)/(-9))/(78/(-9) - -8). -1/3 What is the value of (4/(-6)*-3)/(6/(-9))? -3 Evaluate (-7)/(21896/640) + (-6)/(-69). -2/17 Calculate 3*16/24 + 52/(-8). -9/2 Evaluate ((-1)/(-3)*-2)/((-12)/15). 5/6 27/(-11) - 6/11 -3 Evaluate 3/(2565/18)*(-1 + -4). -2/19 Evaluate (-117)/78*12/(-27). 2/3 Calculate (-164)/450 + 8/(-100). -4/9 Evaluate (((-132)/8)/(-11))/6. 1/4 What is (4/(-12))/(2/270*5)? -9 What is 10/(-48) - 2 - (-24)/(-192)? -7/3 (-4)/20 - (-4)/10 1/5 What is (-4)/(-2) + 1/(6/(-14))? -1/3 Evaluate (2/4)/(26/208). 4 16/(-56) + 1 + (-66)/14 -4 What is the value of (12/(-15))/(3 - 48/15)? 4 What is (-1269)/(-1215) - 16/36? 3/5 What is (-18)/(-27)*1 - 22/42? 1/7 What is (138/18 + -8)*(-1 + 0)? 1/3 Evaluate 12/32 + (-2 - (-159)/24). 5 ((-10)/4 + 1)/(6/(-12)) 3 What is (-4)/26 - (335/(-65) + 5)? 0 Calculate (-6)/15*(-1)/(-2). -1/5 What is (2520/(-110))/(-6) - 4? -2/11 What is the value of (48/(-42))/(12/7 + -2)? 4 Evaluate (-54)/(-12)*2/(-18)*3. -3/2 Evaluate (2/5 - (-481)/(-65)) + 5. -2 Evaluate 126/15 + -2 + -7. -3/5 8 - 18 - 40/(-8) -5 Evaluate 4/52*(25 - 24). 1/13 Evaluate (13 - -239)/14 - 10. 8 What is (-14 - -11) + (-3)/(-6)? -5/2 Calculate (105/10)/7*6/(-15). -3/5 What is the value of (-40)/(-120)*6/4? 1/2 Evaluate (-1 - -5)*((-333)/(-42) - 8). -2/7 What is the value of (((-10)/20)/((-6)/4))/1? 1/3 Evaluate (30/35 - 1) + 0/(-3). -1/7 Evaluate (114/(-56) - -2)/(38/(-152)). 1/7 ((-12)/20)/(1/5) -3 Evaluate 12/(8/2) - (-6)/2. 6 Calculate ((-1)/3)/((26/24)/13). -4 ((-2)/(-3))/((-22)/(-15) - 2) -5/4 What is (-4)/12*8/(-16)*18? 3 Calculate (-1)/(-4) - 2/8. 0 Evaluate (-1 + (-4)/(-1))*35/(-105). -1 What is (-26)/(-16)*34/221? 1/4 What is -4 + (4 - -3) - 323/85? -4/5 Calculate 1/5 + 176/(-330). -1/3 -1*((15 - 11) + -3) -1 What is (-4)/5 - (-598)/260? 3/2 Calculate 27/18*4/10. 3/5 Calculate (2/3)/((-116)/(-30) - 4). -5 What is the value of (-1)/4 - (-30)/(-8)? -4 What is ((-24)/(-20))/(-2) + (-69)/(-165)? -2/11 What is 42/(-18)*(-10)/28? 5/6 Evaluate 5/(-9)*(3 - 6). 5/3 Calculate (-16)/(-18)*30/(-20). -4/3 (3 - 1)/22*(2 - 5) -3/11 Evaluate (6 - (7 - 0/(-9)))*6. -6 Calculate 7/7 - -5 - (4 + 0). 2 Evaluate (-192)/(-108)*(-39)/52. -4/3 (1 - (-21)/(-3))*6/27 -4/3 What is the value of 0 + (-20)/(-8) - 2? 1/2 (-4)/(-6) - ((-238)/(-21))/17 0 Evaluate (-2)/3 - 0/(-25). -2/3 -2 + 8 + (-52)/30*3 4/5 Evaluate (-6 - 16/(-3))*-3. 2 What is 14/10*(-78)/91? -6/5 Evaluate (28/6)/1*1008/(-1176). -4 What is (-50)/(-10) - (2 - (-37)/13)? 2/13 Evaluate (10/((-30)/(-9)))/(3/(-1)). -1 What is (-18)/120*(0 + -5)? 3/4 What is the value of (-54)/(-189) - 44/21*3? -6 (60/(-100))/(1*3/(-30)) 6 What is (-2)/6*0/26? 0 (6/(-70))/((-1)/5) 3/7 Calculate (-29)/(-116)*(-16)/(-36). 1/9 -9 - (1 + 27/(-3)) -1 What is the value of -7*5/(-420)*9/(-2)? -3/8 What is (-3)/8*3 - 7/(-56)? -1 What is the value of (-2)/(-2 + 20/4)? -2/3 Calculate 4/5 - (-24)/(-60). 2/5 What is the value of 26/30 + -4 + 144/30? 5/3 What is ((-49)/28 - -2) + 11/4? 3 What is the value of (-19)/17 - (-126)/1071? -1 What is the value of -8*(-48)/40 + -10? -2/5 What is the value of (-64)/16 - -3*2/3? -2 What is the value of ((-10)/6)/((-305)/(-1281))? -7 What is the value of (618/(-612) - -1)*4*3? -2/17 35/(-40) - (-2)/(-16) -1 Evaluate 1/6*3/(-2)*0. 0 What is (-2)/8*112/98? -2/7 What is ((-1)/(-24)*4)/(2/4)? 1/3 8 + (2 - 6) + 0 4 What is the value of (1/5 - 0) + (-110)/330? -2/15 Calculate (64/352)/((-6)/(-11)). 1/3 33/((-132)/40) - -4 -6 ((-24)/10 - -3)/(123/820) 4 Calculate 8/(-6) + 20/(-12). -3 Evaluate 0/(9 - 33/3). 0 Evaluate 1312/(-144) - (-7)/63. -9 Calculate 1 + (-30)/(40/(-8)). 7 Evaluate 352/(-880) - (0 + (-2)/5). 0 What is 4 + -1 - (4 - 0/4)? -1 What is -35*12/(-90) + 10/(-15)? 4 What is the value of (-2)/(-24)*15/(315/42)? 1/6 Calculate -4 + (3/(-5))/((-12)/(-60)). -7 Calculate -2 + 0 + 5 + -2. 1 What is the value of (81/21)/3 - (-32)/(-112)? 1 What is (1 - -3) + 364/(-84)? -1/3 What is 84/30 - -2*5/50? 3 (-9 - -9)/(0 - 2) + -1 -1 What is the value of 10/6*78/65? 2 Calculate 26/45 - (20/45)/(-2). 4/5 Evaluate 16/40 - ((-2)/(-5) - 2). 2 What is the value of 28/238 - 2/17? 0 What is the value of (14 - (-354)/(-24))/((-1)/8)? 6 Calculate (-4)/(-10) + (-170)/300. -1/6 What is (-8 - 10) + 8 - -18? 8 (1/(1/9))/((-2)/(-2)) 9 What is the value of 1 - (3 - 2/(-1))? -4 What is the value of 4/((-40)/35) - (-3)/(-6)? -4 Calculate ((-3)/4)/((-3 + 21)/6). -1/4 Evaluate -5*21/(-70) + 0. 3/2 Calculate (-8568)/(-2100) + 2/(-25). 4 Evaluate (-2)/(-7) + -10*10/105. -2/3 What is the value of (2 - 2)/(105/(-35))? 0 Evaluate (-12 - -11)/(-1*2/4). 2 What is the value of (65/10)/(-13)*(-1 - -3)? -1 Calculate 6*(1168/168 + -7). -2/7 ((-36)/42)/((-6)/21) 3 Calculate (1 + 26/(-20))/(8/(-40)). 3/2 (-18)/(-48) + 0 + 6/(-8) -3/8 What is 0 - -1 - ((-2 - -8) + -4)? -1 Evaluate 21/(-14) + 38/28. -1/7 Evaluate ((-6)/3)/(11 + -9). -1 (4/7)/(4/(-14)) - -4 2 Evaluate ((-49)/(-14) - 1/2) + 2. 5 ((-10)/45)/2*6 -2/3 What is -3 - ((-10)/6 + (6 - 8))? 2/3 What is 3/(-4)*(-88)/99? 2/3 What is the value of (-180)/27*(-15)/25? 4 What is the value of 8/(-12) + 0 + 15/36? -1/4 What is the value of (81/(-15) + 5)*10/14? -2/7 What is (70/28 - 2)*12? 6 What is the value of
{ "pile_set_name": "DM Mathematics" }
5*l + 3*y - 43 = 0. Suppose 0 = 2*z - 8 - 10. Suppose 2*g - z = 1. Solve -4*p + n + l = -p, -n = -g*p + 17 for p. 3 Let d(w) = w**3 + 6*w**2 - w + 1. Let r be d(-6). Let h be (8 - r)*(7 - 2). Solve -3*s = -h*z + 18, 0*z - 11 = 5*s - 2*z for s. -1 Let y = -103 + 113. Let m = -2 - -8. Solve m = 3*q - 4*j, 4*j - y = -5*q + 3*j for q. 2 Let i(c) = -c. Let s = -6 - 0. Let g be (-1 + 2)/(2/s). Let r be i(g). Solve r - 5 = -b - x, 3*x - 1 = 2*b for b. 1 Let z be (22/6)/((-19)/(-57)). Solve -4*f - z = -5*y, y + 0*f = 3*f for y. 3 Let h be (-88)/(-8) - 2*-1. Solve 0 = -4*g + 3*i - h, 0 = -2*g + 3*g + 2*i + 6 for g. -4 Let u be ((-40)/(-30))/((-4)/(-6)). Solve -4*g - 3 = 1, u*g = -2*d - 2 for d. 0 Suppose -5 = 3*v - 4*v. Let t(l) = l**2 - 3*l - 6. Let n be t(5). Suppose 3*g = n*g - 13. Solve -g = 4*m + u, -5*u = -v*m - 3*u for m. -2 Suppose 20*y - 10*y = 30. Solve -g + 4*o - y*o = -9, 5*g = 2*o + 33 for g. 5 Let f(p) = -p - 15. Let i be f(0). Let n be i/(-2) - 1/(-2). Let x(q) = -2*q - 10. Let t be x(-7). Solve 5*u + 2*g + 0*g = -4, t*g = -n for u. 0 Let a = 115 - 108. Solve 2*h = o + a, 0 = 3*h - 4*o - 0 - 3 for h. 5 Suppose 5*f - 30 + 0 = 0. Solve -2*m - 9 = r, 0 = m - f*m - 5*r - 35 for m. -2 Suppose -3*w - t = -6*t - 9, -5*w - 5*t = -15. Solve 2*y + 5 = 7*y + 3*b, -w*b = 4*y - 1 for y. 4 Let c = 17 + -12. Solve 0 = 4*x - 3*q - c, -1 = -2*q + 1 for x. 2 Let n = 41 + -39. Solve 0 = -4*j - 3*h + 21, -7*j + 2*h = -n*j - 9 for j. 3 Let s = -17 + 32. Let d = 8 - s. Let z = -3 - d. Solve -z*f - 4*j - 12 = 0, -7 = 5*f + j - 0*j for f. -1 Suppose 0 = 5*s + 25, -2*o + o - 4*s - 21 = 0. Let j = o + 6. Solve 0*u - 3*m + 3 = 3*u, -7 = j*u - m for u. -1 Let t(i) = 3*i**2 + i. Let o be t(-1). Suppose 20 = -o*h + 3*h. Solve -2*n + 5*d + h = -n, -3*n = -d + 10 for n. -5 Suppose 3*k - 22 - 32 = 0. Suppose -3*g + k = 3. Solve -2*a = 2*z - 7*a + g, 5*a = 5 for z. 0 Let n = 5 - 1. Suppose n*g - 37 = 35. Let w(u) = u**2 - 4*u + 5. Let c be w(4). Solve 5*o = -c*v - 20, 4*o - v = -6*v - g for o. -2 Let n be (1 + -1)/(-1) + 0. Suppose 11*r = 6*r + 170. Solve -5*y - 2*g - 10 + r = 0, n = 3*g - 6 for y. 4 Suppose -3*t + 54 = -3*v, 4*v + 0*v + 20 = 0. Suppose 4*r - 24 = -5*a, -5*a + r + 32 - t = 0. Solve -16 = a*f, -i - i = 4*f + 12 for i. 2 Let k(g) = -g**3 + 5*g**2 - 2*g + 5. Let t be k(4). Suppose -r - t = -4*i - 37, -2*i = 4*r - 24. Solve 19 = 3*m + 5*d, -4*d + r = -0 for m. 3 Suppose -3*m = -4*m + 2. Let n be (3 - m) + (0 - 1). Solve 4*u = -5*f + 1, -2*f - 2*f + u - 16 = n for f. -3 Suppose v = 3*v + 2*x, -8 = 5*v + x. Let i = v - -9. Let n be (19/2)/(2/4). Solve z = -4*u - n, 2*u - 2*z = -5*z - i for u. -5 Suppose -1 = -2*b + 7. Suppose 13 = -p + 3*y, -b*y + 14 = -6. Solve -5*z + x = 5*x + 6, p*z - 4*x = -8 for z. -2 Let f = 5 - 2. Suppose -f*u + 6 = -0*u. Solve 15 = -4*o - 3*c, 0*o = -u*o + 4*c + 20 for o. 0 Suppose 10 + 5 = 3*p. Suppose p*d - 120 = -3*j - 0, j + 3*d = 44. Solve -2*r + 3*f + f + 22 = 0, 5*r - j = 5*f for r. 3 Suppose 4*o + 0*o - 3*x - 16 = 0, 0 = 4*o + x - 16. Suppose -2*w - m + 0*m + 6 = 0, -o*w = -3*m - 22. Solve -5*d = -0*c + c - 2, 5*d + w*c = 8 for d. 0 Let n = -11 + 18. Let x = 4 - n. Let w be -5*(x + 2)/1. Solve -w*f + i = -2 - 2, 5*i + 20 = 0 for f. 0 Suppose 21*l - 25*l = 0. Solve l = -2*v + 6*v + 2*b - 10, 5*b = -5*v for v. 5 Suppose 0*v + v = 8. Suppose 5*z + 21 = v*z. Solve -3*b + 0*b - 2*w - 3 = 0, w + z = 4*b for b. 1 Suppose -2*h - 3*h = -70. Solve -n - 5*p - 11 = 0, -3*p = -5*n + 43 - h for n. 4 Let p = 12 + -8. Let y(b) = -p + 3*b + 4 + 1 - 2. Let n be y(1). Solve -5*d = 4*j + 5, -2*j + n*d - 2 = 14 for j. -5 Suppose -4*m + 5*d + 80 = 0, -2*d = m + d - 20. Solve 0*p + 25 = 4*t - 5*p, -4*p = m for t. 0 Suppose z + w - 8 = 0, -w + 1 = -3. Suppose z*i = 2*o + o - 13, 2*o - 3*i - 9 = 0. Solve -4*k = -5*f - 36, 3*k - 5 = o*f + 19 for k. 4 Let b be -2 + (0 - 1) + 6. Let q = b - -2. Solve -2*h = -3*d + 4*d - 7, -5*h - 5 = -q*d for d. 3 Let p be 11/2 - (-1)/(-2). Suppose 21 - p = 4*u. Solve -19 = -2*d + k + u*k, -2*d + 3*k = -9 for d. -3 Suppose 0 = -5*u + 2*u + 9. Solve -u*p = -2*v - 10, -p + 16 = -5*v + 2*p for v. -2 Let k = -5 - -9. Solve k*x - 4 = -q - 13, 9 = -2*x - 5*q for x. -2 Suppose x - 6*x + 25 = 0. Suppose 2*j - 147 = -x*q - 52, 0 = -2*q - 5*j + 59. Solve 2*w - 5*v = -q, -v + 17 = -5*w + 3*v for w. -1 Suppose o + 8 - 1 = 0. Let w be (2/6)/(o/(-105)). Solve 0 = -w*d - x - 4, d + 1 = -3*x + 3 for d. -1 Suppose -2*u = -5*u + 18. Let t = -3 + u. Let f(w) = -w**3 - 5*w**2 + 4*w - 7. Let s be f(-6). Solve -s*n + 10 = -4*r, -1 - 5 = -t*n - 3*r for n. 2 Suppose -2*a + 7 = 1. Suppose 4*u - 136 = 5*m, a*u + 3 = -2*m - 33. Let p be ((-8)/m)/((-1)/(-6)). Solve 0 = 5*w + 20, -2*k + 0*w + p*w + 6 = 0 for k. -1 Let o = 5 + 0. Let m = 9 - 5. Let d be (0/(-2))/(-2) + 10. Solve d = -5*l, 2*v - m*l = -v + o for v. -1 Let b = 77 + -74. Solve 0 = m - 3*m - c + 2, 0 = -3*m + b*c + 3 for m. 1 Suppose 3*t = 6*t - 12. Solve -3*r + 26 - 4 = t*h, -3*r = -6 for h. 4 Let s be (-1)/(-4) - 14/(-8). Suppose s*i = -0*i + 40. Let z be -3*(6/(-9))/(2/5). Solve 5*p + i = -z*c, -p - 3*c + 5*c = -8 for p. 0 Let m(g) = -g**2 + 8*g + 20. Let j be m(10). Solve 3*t + 12 = y, -2*y = -j*y + 2*t + 16 for y. -3 Suppose -3*k - 19 = -5*t, 4*t - t = -2*k + 19. Solve 0 = 5*z + 4*d + 5, -1 = 4*z + k*d + 3 for z. -1 Suppose -2*n + 10 = -0, 4*n - 16 = a. Let j be 2/(-1*(a + -5)). Solve j*d - 4*k = 22, -3*d + 2 = -k - 6 for d. 1 Let f be (-2)/(-6) + 1045/33. Solve -3*l - 10 = 4*y, 0 = 5*y - 12 + f for l. 2 Let n be -1*12/(-8)*4/3. Solve h + 6 = j, n*j + 3*h = -3*j - 2 for j. 2 Let m = 35 - 30. Solve 2*h - 10 = 4*z, -5*h + 0*h - 35 = m*z for h. -3 Suppose 7*n - 9*n = -6. Solve 0 = 5*v + 2*h - 2, 3*v - 22 = n*h + h for v. 2 Suppose 2*x - 19 = -3*t, 0*t = -5*x + 2*t. Suppose -5*f = x*h - 28, -2*f + 2*h - 4*h = -16. Solve -f*r + 2*p = r + 23, 2*p - 17 = 3*r for r. -3 Let x(o) = -5 + 6 + 6 + o. Let g be 2 - (-1 - 10/(-1)). Let d be x(g). Solve 3*m - 2*n + 4*n = -4, d = n - 1 for m. -2 Suppose 0 = 3*a - a. Let z(i) = i**3 + 5*i**2 + 4*i + 2. Let c be z(-4). Suppose -2*l + 2 + c = 0. Solve 2*u - 7*u + 2*p = 1, l*p + 4 = a for u. -1 Suppose 0 = -4*a - 6 + 18. Solve 6*l = a*l + 5*o - 25, l = -o - 3 for l. -5 Let c = 48 + -43. Solve 3 = -m + 4, 0 = -5*t - c*m for t. -1 Let s(y) = -y**3 - 15*y**2 - 17*y + 3. Let p be s(-14). Solve 4*w = j + 4*j + p, -5*w = 2*j - 15 for w. 5 Let u = 2 + 1. Let t = u + 1. Suppose -t*w - 3 = -5*n, -4*w + 30 - 6 = 4*n. Solve -5*k = -2*q - 10, -2*k - n*q + 7 = 22 for k. 0 Let m be (2 + -1)*(-1)/(-1). Let w = m + -1. Suppose w = 7*s - 2*s. Solve -3*l + 3*x + s*x - 6 = 0, -3*l + 5*x = 12 for l. 1 Let t = 7 - 2. Suppose 0 = -t*r - u + 60, 5*r - 3*u = 3*r + 24. Solve 3*w - 9 = 0, -z + 3*w - r = -2*z for z. 3 Let o(q) = -q**3 + 3*q**2 + 2*q - 2. Let a be o(3). Solve -3*b = -c - 1 - 0, -3*b + a*c - 5 = 0 for b. 1 Suppose n - 1 = 4. Solve 0 = 3*s + n*v, 6*s = s - v for s. 0 Suppose q + 9 = 4*q. Solve -5*o - 29 = 3*d, -q*o = 3*d + 4 + 17 for d. -3 Let h(y) = 4*y - 20. Let r be h(6). Suppose -r*o - 4 = -l + 4*l, 0 = 5*o + 2*l - 2. Solve 3*d + 3*b = b + 23, 2*d + o*b = 18 for d. 5 Suppose 9*j + 44 = 11*j. Solve -3*u + j = -4*z, z = -2*z - 12 for u. 2 Suppose -3*k + 31 - 22 = 0. Solve -k*x = f - 8, f = -0*f - 1 for x. 3 Suppose -2*h + c - 16 = -40, -2*h + 2*c = -28. Let y = h + -8. Solve -5*q + 0*n = -4*n + 28, -y*q + 3*n = 14 for q. -4 Let y be ((-5)/(-15))/((-1)/(-12)). Suppose 0*p - 2*w = 5*p - 3, -3*p - 11 = -2*w. Let f = -1 - p. Solve 2*a = y*u - 10, -3*a + 6 = -f*a + u for a. 1 Suppose 0 = 2*g - 1 - 11. Suppose -3*h - 3*o + 75 = 0, 3*o + 2 = -4*h + 102. Suppose g*r = r + h. Solve -3*f + r*x = 0, -6 + 24 = -3*f - x for f. -5 Suppose 4*q - 17 = 63. Solve 5*n = -15, 7*n - 2*n = -5*w - q for w. -1 Suppose 7 = 4*v + 3*s - 10, -5*v + s + 7 = 0. Suppose -4*t + 3*g - v*g = -23, -5*g = t + 10. Solve t*x - 5*r = 30, 5*r + 25 = -0*x + 4*x for x. 5 Suppose -2*w + w + 34 = 3*d, 0 = d - w - 14. Let x = d + 5. Solve 4*p - l + x = 0, 2*p + 5*l - 13 = 4*p for p. -4 Let b = 1 + 3. Solve 2*w + 8 = b*w + 5*g, 4*w + 3*g - 16 = 0 for w. 4 Suppose 2*q + 3 - 15 = 0. Let x be ((-12)/15)/(q/(-15)). Suppose -2 = -x*l + 10. Solve 2*f + 0*s = 2*s - l, -4*f = s + 12 for f. -3 Let f(d) = 3*d + 14.
{ "pile_set_name": "DM Mathematics" }
220111 - -11022110201? 11100101012 In base 3, what is -200211 + -12201200? -20102111 In base 16, what is -8a - 22cd6? -22d60 In base 14, what is -2a6c - -427? -2645 In base 6, what is 12030244 + 453? 12031141 In base 12, what is 6333 + -3302a? -288b7 In base 6, what is 1 - -2511142002? 2511142003 In base 13, what is 4 - -63046b? 630472 In base 9, what is -5817 - -81775? 74857 In base 16, what is -10 - -6e179? 6e169 In base 9, what is -3 + 10573487? 10573484 In base 14, what is 10c48c - -144? 10c5d2 In base 9, what is 1654 + -368248? -366484 In base 7, what is -21113 - 4365? -25511 In base 13, what is 1c7936962 + 2? 1c7936964 In base 14, what is -6 - -1cd56466? 1cd56460 In base 10, what is 9 - 565991? -565982 In base 7, what is -15203122 - -34? -15203055 In base 4, what is -3 - -103223213332? 103223213323 In base 3, what is -1002011021 - 2112011? -1011200102 In base 2, what is 1101110100011 + -1011001111000? 10100101011 In base 16, what is 10f727 + 2? 10f729 In base 6, what is 11 + 22424524? 22424535 In base 10, what is 1 + -25874678? -25874677 In base 14, what is -c2c - 993? -17c1 In base 2, what is -11 + 1000111111010001100011110? 1000111111010001100011011 In base 7, what is 13363660 - 11? 13363646 In base 12, what is 5b411 - -3? 5b414 In base 8, what is 32601 - -13255? 46056 In base 10, what is 1296027 + -13? 1296014 In base 5, what is 1040444434 + -13? 1040444421 In base 2, what is -1100000001001 + -1101000000111? -11001000010000 In base 9, what is -763880418 + 5? -763880413 In base 13, what is -b - -40b70? 40b62 In base 8, what is 3414405 + 11? 3414416 In base 15, what is 304d20 - 5? 304d1a In base 16, what is 685 - 124b? -bc6 In base 8, what is 3356 + -20104? -14526 In base 14, what is 55 + -40bb0b? -40ba96 In base 3, what is -2111120 - -12022111000? 12012222110 In base 16, what is -1d53a - -34e? -1d1ec In base 14, what is -19 + b4d3? b4b8 In base 10, what is 1 + 20897001? 20897002 In base 14, what is 3133a52 + -2? 3133a50 In base 9, what is 3484010 - 1? 3484008 In base 11, what is 307a66 - -181? 308137 In base 3, what is 101022201 - 20112122? 10210002 In base 10, what is -900 + -154131? -155031 In base 15, what is 26ae27 + a? 26ae32 In base 12, what is -10 + 551277? 551267 In base 7, what is -5222032 - 250? -5222312 In base 10, what is 5770359 - -22? 5770381 In base 8, what is 1634363 - 12? 1634351 In base 13, what is bc550b + -1? bc550a In base 4, what is 21120 + -2000002? -1312222 In base 11, what is -4189 + -338? -4516 In base 16, what is -188 - 80ad0? -80c58 In base 9, what is -36 + -7141774? -7141821 In base 6, what is -20111 + 1433044? 1412533 In base 16, what is -13d059 - 9? -13d062 In base 15, what is 45c6b - 24? 45c47 In base 7, what is 10 + 23256633? 23256643 In base 12, what is 4112 - -4255? 8367 In base 13, what is 44 + -9b473? -9b42c In base 15, what is -8 - -3a378? 3a370 In base 2, what is 10001000100000101011010 - -1000? 10001000100000101100010 In base 7, what is -2060 + -214361? -216451 In base 14, what is -4 - -1012ca? 1012c6 In base 8, what is 4 + 45010237? 45010243 In base 15, what is 66b0e + -27a? 66884 In base 5, what is -203242204 - 10114? -203302323 In base 9, what is 30420 - -2868? 33388 In base 12, what is 4b560b43 - -5? 4b560b48 In base 11, what is -77 + 4250? 4184 In base 7, what is -13512302033 + 3? -13512302030 In base 9, what is -144361103 + 0? -144361103 In base 14, what is 1c0 + -76b0b? -7692b In base 15, what is -33b + 381ae? 37d73 In base 2, what is -100100010011000 - 111001011000? -101011011110000 In base 15, what is -53314a + 1? -533149 In base 7, what is -12265362 - -1262? -12264100 In base 7, what is -5 - 4542504631? -4542504636 In base 14, what is -1cbdd1 + 2? -1cbdcd In base 11, what is 2 - 20a2971? -20a296a In base 13, what is 0 + 4b0c221? 4b0c221 In base 13, what is -6b72 - -6ba1? 2c In base 4, what is -2130222 + -2022? -2132310 In base 16, what is d845 + 445? dc8a In base 7, what is -104463 - -1552? -102611 In base 12, what is 1a5 + 1aa99b? 1aab84 In base 4, what is 30101010132 - 13? 30101010113 In base 9, what is -410432 - -20? -410412 In base 13, what is -7cca6aa - -1? -7cca6a9 In base 8, what is -1342265254 + 1? -1342265253 In base 7, what is -4660644561 + 5? -4660644553 In base 6, what is -1 - 12453522? -12453523 In base 5, what is 1204111413 + -1? 1204111412 In base 13, what is -62066c7 - 1? -62066c8 In base 13, what is 7 + 16712184? 1671218b In base 8, what is 0 - -16442011? 16442011 In base 3, what is -1101100 + -21120102002? -21121210102 In base 12, what is -4 - 84686858? -84686860 In base 6, what is -55030 - 531151? -1030221 In base 16, what is 71 + -34? 3d In base 12, what is 381 + ab508? ab889 In base 13, what is -4 - 27cc94? -27cc98 In base 11, what is 3312 - 11458? -9146 In base 11, what is -4240 - 15510? -19750 In base 8, what is -502 + 41450? 40746 In base 8, what is -47 - 455522? -455571 In base 5, what is 2 + 240402232344? 240402232401 In base 15, what is -12079 - -1869? -10710 In base 16, what is -3 - 261cd7? -261cda In base 14, what is 970 + 1160? 1ad0 In base 2, what is -100 + 110010101011100111001101? 110010101011100111001001 In base 3, what is 10021 - 102112120010? -102112102212 In base 8, what is 563 - -50303? 51066 In base 3, what is -11 + 1000002111021010? 1000002111020222 In base 16, what is -13c2 + 2818? 1456 In base 5, what is 14040244 + -103103? 13432141 In base 3, what is -211212020 - 102011? -212021101 In base 3, what is -1010 + -111100120211202? -111100120212212 In base 8, what is -5 + -1254214? -1254221 In base 2, what is -10000101100000101001001000 + -100? -10000101100000101001001100 In base 8, what is 14 - -41204360? 41204374 In base 10, what is -1825354 - -2? -1825352 In base 15, what is 24e35b8 - 1b? 24e359c In base 13, what is -34cb17 - -406? -34c711 In base 12, what is -5a0 + 29887? 292a7 In base 9, what is 324 - 837428? -837104 In base 6, what is -1011232 - 1224? -1012500 In base 2, what is -1011100000100100110000 + -101? -1011100000100100110101 In base 10, what is -233322831 - 4? -233322835 In base 3, what is 2200112 + -1221212222? -1212012110 In base 6, what is -23 - 242030335? -242030402 In base 9, what is -175 - 7616? -7802 In base 7, what is 1353011 + -130? 1352551 In base 11, what is 83629a - -220? 83650a In base 16, what is 6688ff7 - -2? 6688ff9 In base 9, what is -28 - 2572574? -2572613 In base 14, what is 104b00 + 5? 104b05 In base 5, what is -40111002 + 120? -40110332 In base 15, what is -c8c6e - 1? -c8c70 In base 15, what is -3 + 1586811? 158680d In base 16, what is -19 + 256130b? 25612f2 In base 14, what is -311390 - -4? -31138a In base 8, what is -614344 - -15? -614327 In base 15, what is -a70bd8 - -b? -a70bcc In base 14, what is -9 - -170bb74? 170bb69 In base 11, what is 3822632 - 20? 3822612 In base 8, what is 4 - -220043736? 220043742 In base 14, what is -4a + 6569d? 65653 In base 11, what is 157 + 108818? 108974 In base 12, what is -10 + -352381? -352391 In base 15, what is -1c8c + 19048? 172ab In base 14, what is -40c751 - 73? -40c7c4 In base 12, what is -888 - -624? -264 In base 11, what is 1310 - -10651? 11961 In base 11, what is 15a2091 + -47? 15a2045 In base 14, what is -933 - 23505? -24038 In base 9, what is 274604203 + -4? 274604188 In base 10, what is -46053 + 274? -45779 In base 14, what is 81509 - -506? 81a11 In base 4, what is 3332012233 - 11022? 3332001211 In base 12, what is -1133263 + 2? -1133261 In base 8, what is -41431400 + -7? -41431407 In base 7, what is -33 + 1420402? 1420336 In base 11, what is -7088230 + -3? -7088233 In base 3, what is -120 + 21200010011? 21200002121 In base 9, what is 1370803 - -2? 1370805 In base 4, what is -10132301 + -111310? -10310211 In base 10, what is -1 + 214902526? 214902525 In base 9, what is -21 - -5615306? 5615275 In base 8, what is 170 - 12651? -12461 In base 2, what is 10 - -1101011001110111011111? 1101011001110111100001 In base 15, what is 2022 - -830? 2852 In base 12, what is -82 + 30a0? 301a In base 8, what is -221455 - 15? -221472 In base 12, what is 9354 - -12245? 1b599 In base 12, what is 19 + -3243249? -3243230 In base 10, what is 0 - -4313947? 4313947 In base 10, what is 343063 + 54? 343117 In base 13, what is 4 - 10098057? -10098053 In base 12, what is 59255 + -47? 5920a
{ "pile_set_name": "DM Mathematics" }
+ 9*f + 12. Let l(h) = -h**2 + 9*h + 11. Let b(c) = -6*l(c) + 5*m(c). Calculate b(9). -6 Suppose -6*l - 14 = l. Let q = 14 - l. Let n = 17 - q. Let p(k) = 11*k**3 - k**2 + k. What is p(n)? 11 Let g(p) = 20*p**3 + p**2 - 1. Let r be (-1)/3 - (-16)/(-24). What is g(r)? -20 Let j(t) be the third derivative of t**4/24 + 5*t**3/3 - 57*t**2 + t. Calculate j(-4). 6 Let b be 2538/(-810) + (-4)/(-30). Let w(q) = 6*q**2 + 2*q + 2. Determine w(b). 50 Let d be (-26)/4 - 2/4. Let h(s) = 11*s - 4. Let o(k) = -29*k + 11. Let i(u) = 8*h(u) + 3*o(u). Calculate i(d). -6 Suppose 0 = -5*b - 73 + 48. Let v(q) = -q**3 - 5*q**2 + 2. Determine v(b). 2 Let y = -24 + 37. Suppose 4*p + y = z, p = -0*p + 5*z - 8. Let n(a) = a**2 - 3. Determine n(p). 6 Let i(l) = 19*l - 1. Let o(j) = 32*j - 4. Let a(y) = 5*i(y) - 3*o(y). Calculate a(-8). 15 Suppose -3*c - 2*k + 15 = 0, -5*c - 4*k - 4 = -31. Let g(p) = 43*p**3 - 5 - 2*p + 33*p**c - 75*p**3 + 6*p**2. Calculate g(-5). 30 Let p = 116 + -114. Suppose -w + 5*y + 13 = -p, -9 = -3*w - 3*y. Let a(i) = 4*i - 2*i**2 + i**2 - 4 + 2*i. Determine a(w). 1 Let n = 201 + -200. Let w(p) = -37*p**2 + 1. Give w(n). -36 Let u(c) = -c**2 - 7 - 1 + 24*c + 12 - 30*c. Calculate u(-7). -3 Let q(g) be the third derivative of g**4/8 + g**3/2 - 2*g**2. What is q(4)? 15 Let f(o) = -5*o**3 + 25*o**2 - 19*o - 40. Let n(p) = 6*p**3 - 26*p**2 + 19*p + 45. Let w(z) = -5*f(z) - 4*n(z). What is w(20)? 0 Let q(c) = 6*c**2 + 5*c - 6. Let y be q(2). Let a(h) = 29*h - 56*h - 11 + y*h. Give a(11). 0 Let c(r) = r**3 - 5*r**2 - 7*r + 3. Let o be 5 - (9/(-15) - 10/25). What is c(o)? -3 Suppose 3*g + 27 = -5*u, 11 = 2*g - 2*u + 29. Let c(q) = -q**2 - 11*q - 1. Determine c(g). 17 Suppose 0 = -39*y + 42*y + 183. Let p = 55 + y. Let v(j) = j**2 + 5*j. Determine v(p). 6 Let w(y) be the first derivative of y**3/3 - 2*y - 61. What is w(-2)? 2 Let g(a) = -429*a + 384. Let f(q) = -61*q + 55. Let m(l) = -15*f(l) + 2*g(l). Let p(d) = 7*d - 7. Let x(s) = -4*m(s) + 33*p(s). Determine x(8). 21 Let g(j) = j**3 + 8*j**2 - 8*j + 1. Suppose 0 = a + 3*w + 15, 12*w = -a + 8*w - 17. Calculate g(a). -8 Let d(m) = -9*m + 8. Let f(h) = 2*h**3 - 2*h**2 + 9*h - 20. Let g be f(2). What is d(g)? -46 Let v(y) = 13*y + 753. Let l be v(-58). Let a(d) = -13*d**3 - 2*d**2 - d. Calculate a(l). 12 Let g(k) be the third derivative of -k**5/120 - k**4/24 - 11*k**3/6 + 10*k**2. Let l(w) be the first derivative of g(w). Calculate l(-1). 0 Let l(g) be the first derivative of 1/120*g**6 + 0*g - 1/60*g**5 + 0*g**4 + 2 - 1/6*g**3 + 1/2*g**2. Let y(q) be the second derivative of l(q). Give y(0). -1 Let x(f) = 11*f + 2 - 10*f + 3 - 3. Suppose -10 = b - 0*b. Let n(a) = -a - 15. Let r be n(b). What is x(r)? -3 Let y(p) = p**3 + 44*p**2 + 55*p**2 - 88*p**2 + 8. What is y(-11)? 8 Let r(n) = 5*n - 5. Let l(y) = -10*y + 9. Let g(w) = -4*l(w) - 7*r(w). Let x(f) = -f**2 - 7*f + 7. Let a be (-8*(3 + -2))/1. Let o be x(a). What is g(o)? -6 Let b(h) = h + 1. Suppose -85 = 3*l - 4*l - k, -4*k - 300 = -4*l. Let j = l - 84. What is b(j)? -3 Let p(v) = -v - 7. Suppose 0 = -2*c - 4*t + 16, 8*c - 6*c = -5*t + 20. What is p(c)? -7 Let y(l) be the first derivative of l**3/3 - 3*l**2 - 2*l - 5. Let r be -2 + 1 + -4 + -1. Let n be -1 - (r/(-4) + -1)*-14. What is y(n)? -2 Let f(v) = -31041*v**2 + 31042*v**2 - 15 - 2*v - 4*v. Give f(8). 1 Let s(c) = -c**2 + 6*c + 42. Let k be s(-4). Let v(m) = 2*m**2 + 4*m - 3. Determine v(k). 13 Let y(n) = -n**2 - 10*n + 9. Suppose 5*c + 137 - 87 = 0. What is y(c)? 9 Let u = 40 + -33. Suppose -u*g + 4 = -3*g. Let j(f) = -4*f**2 - f. What is j(g)? -5 Suppose -5*b + 2*x + x - 19 = 0, 3*x - 17 = 4*b. Let g be ((-1)/2)/(b/(-20)). Let j(s) = 2 - 4*s + s - s**2 + 3. Determine j(g). -5 Let u(v) = 2*v**3 - v - 6. Let t(k) = -2*k**3 - k**2 + 2*k + 7. Let b(q) = 4*t(q) + 5*u(q). Let c(y) = 2*y**2 + 4*y + 2. Let d be c(-2). Calculate b(d). 4 Let x(r) = -r + 5*r - 105 - 2*r + 136. Give x(-19). -7 Let q(m) = -m**2 - 6*m - 5. Let y = -5 + 7. Let h = 14 - y. Suppose -4*r - h = 12. Determine q(r). -5 Let n(h) = -2*h**2 - 4. Let b be n(2). Let y(a) = -3*a - 11. Let t be y(b). Let j(g) = 2*g**2 - 25 + t - 3*g**3 - 3*g**2. Give j(-1). 2 Let g(r) = 2*r + 5*r + r**2 - 8 + 12. Let c(b) = -2*b**2 + 16*b - 21. Let v be c(7). What is g(v)? 4 Suppose 4*k - 3*t = 15, 16 = -0*k + 4*k - 4*t. Suppose 4*q + 9 = -3*j + q, 4*q = -k*j - 9. Let x(h) = h**2 + h - 2. Give x(j). 4 Let a(d) = d**2 - 2*d - 1. Suppose 0 = -10*n + 5*n - 90. Let s be 9/n + 5/2. Calculate a(s). -1 Let k(s) = 3*s**3 + 2*s**2 - 4*s + 3. Let d(b) = 2*b**3 - b + 1. Let m(z) = -2*d(z) + k(z). Calculate m(2). -3 Let v(n) = -2*n**2 + 55*n + 154. Let d be v(30). Let r(m) be the third derivative of 5/24*m**d + 0*m - 1/2*m**3 - 3*m**2 + 0. Give r(2). 7 Let v(o) be the third derivative of 7/24*o**4 + 0*o + 1/30*o**5 + o**2 - 5/6*o**3 + 0 - 1/120*o**6. Suppose 2*t - 4*s = 5*t - 4, -4 = 2*s. Calculate v(t). -9 Let a(n) = -n**2 + 7*n + 7. Suppose -15 = -12*z + 7*z. Suppose -4*j - 2*f + 40 = 6, -30 = -3*j - z*f. Give a(j). 7 Let s be (-16)/(-9) + (100/45)/10. Let z(n) = -5*n**2 - 139 - n**3 + 131 - 2*n**s - 4*n + 2*n. Give z(-7). 6 Let g be (1 - 2/2) + 2. Suppose 0 = -g*y - 0*y - 2. Let a(t) be the first derivative of -13*t**3/3 - t + 31. What is a(y)? -14 Let m(b) = -2*b - 1. Let w be (21/35)/(((-2)/(-5))/2). Suppose -7*n + 4*n + 2*l - 13 = 0, 3*l = -w. Calculate m(n). 9 Let z(l) = -l - 9. Let n be z(-8). Let b(u) = 6*u**2 + 4*u + 5. Let o(d) = -d**3 - 4*d**2 - 3*d - 4. Let m(k) = -3*b(k) - 4*o(k). Determine m(n). -5 Let i(p) = -p**3 - p**2 - 2*p. Let m(w) = -2*w**3 - 8*w**2 - 2*w - 5. Let k(b) = -3*i(b) + m(b). Determine k(4). -5 Let n = -3 - -4. Let g be -2 - (n - (-1 - -10)). Let v(h) = h**2 - 6*h + 4. Determine v(g). 4 Let m(f) = -11*f**3. Let i be (7/14)/(2/(-100)). Let j = i + 18. Let g(v) = v**3 + 6*v**2 - 6*v + 8. Let l be g(j). Determine m(l). -11 Let w(y) = y + 10. Let v(o) = o**3 - 5*o**2 + 2*o - 5. Let n be v(5). Suppose 0 = 5*k + n*q - 0*q + 55, 4*q + 12 = 0. What is w(k)? 2 Let z(c) = -c + 29 - 7 - 12 - 11. Give z(-2). 1 Let h(n) be the second derivative of 5*n**3/6 - 5*n**2/2 - n + 49. Give h(2). 5 Let u(w) = 2*w**2 + 2*w + 13*w**2 - 3 - 11*w**2 - 6*w**2 + w**3. Give u(4). 37 Let i = -6 - -6. Suppose 5*u + 4*q - 130 = i, 0 = 3*u - 4*q - q - 115. Let a be (u/8)/(39/52). Let c(r) = 2*r - 3. Give c(a). 7 Let l(x) = 1112*x + 0*x**2 + x**2 - 8*x**3 - 1115*x + 2. Determine l(1). -8 Let z(u) = 4*u. Let q(v) = v**2 + 6*v + 4. Let c be 6/10 + (-84)/15. Let n be q(c). Let k be (n/(-2))/((-2)/(-8)). Give z(k). 8 Let k(a) be the second derivative of -a**5/20 + a**4/3 + 5*a**3/6 - 5*a**2/2 - 695*a. Give k(5). -5 Let l be (-1)/5 - 144/30. Let g(s) = -s - 2. Calculate g(l). 3 Let n(b) be the first derivative of -b**4/4 - 7*b**3/3 - 9*b + 54. Let y = -79 + 72. Give n(y). -9 Let a(p) = -11*p - 20. Let v(c) = -4*c - 3. Let y(l) = a(l) - 3*v(l). Determine y(12). 1 Suppose -10 = -12*h + 13*h. Let n = 6 - h. Suppose -3*z - m = -16, z + n = 5*z - 4*m. Let w(y) = -y**2 + 6*y - 5. Calculate w(z). 0 Let a(h) = 16*h**3 + h - 6. Let p(c) = 16*c**3 + c - 5. Let k(o) = 5*a(o) - 6*p(o). Calculate k(1). -17 Let i(o) be the second derivative of -o**8/960 + o**6/720 - o**5/120 - o**4/2 - 2*o. Let h(p) be the third derivative of i(p). Determine h(1). -7 Let k(l) = l + 6. Let q be k(-3). Let f = -5 - -7. Let t(m) = 4 - q + 2*m + 1 + f. Calculate t(-4). -4 Let y(n) = -13*n**2 + 37*n + 3. Let w(c) = 7*c**2 - 19*c - 2. Let f(z) = -11*w(z) - 6*y(z). Calculate f(12). -8 Let x(c) be the first derivative of -c**2 + 31*c - 276. Determine x(12). 7 Let z(d) = 5*d**2 - 5. Let u(h) = -6*h**2 + 6. Let a(f) = -4*u(f) - 5*z(f). Let i(p) = -2*p**2 - 2*p - 3. Let s(g) = -2*a(g) - i(g). Calculate s(-2). 13 Let u(j) = j - 8. Let i be u(8). Let f(o) = -o**2 - 12 + i + 3 - 6*o. Calculate f(-6). -9 Let a(d) = 9*d**3 - 23*d**2 + 7*d - 4. Let q(n) = -4*n**3 + 11*n**2 - 3*n + 2. Let r be (-110)/16 + (9 - 584/64). Let z(j) = r*q(j) - 3*a(j). What is z(8)? -2 Let f be ((-7)/14)/((-1)/10). Let p(d) = 0*d - d - f + 0*d - 2. What is p(-9)? 2 Suppose 0 = 9*f + 116 - 1718. Let j(g) = -f - 7*g**2 + g**3 + 86 + 89 + 6*g. Give j(6). -3 Suppose -k + 10 = 3*h - 0*h, 2 = -h + 5*k. Suppose 3 = -b - d, -2*d = -h*b + d + 9. Le
{ "pile_set_name": "DM Mathematics" }
the cube root of 2392 to the nearest integer? 13 What is 100440 to the power of 1/2, to the nearest integer? 317 What is the cube root of 2935 to the nearest integer? 14 What is 35704 to the power of 1/2, to the nearest integer? 189 What is the sixth root of 36386 to the nearest integer? 6 What is 28088 to the power of 1/9, to the nearest integer? 3 What is 3299 to the power of 1/2, to the nearest integer? 57 What is the tenth root of 8375 to the nearest integer? 2 What is the fourth root of 122 to the nearest integer? 3 What is 14976 to the power of 1/3, to the nearest integer? 25 What is the fifth root of 272 to the nearest integer? 3 What is the third root of 146739 to the nearest integer? 53 What is the square root of 7576 to the nearest integer? 87 What is the cube root of 50116 to the nearest integer? 37 What is 4341 to the power of 1/8, to the nearest integer? 3 What is 309 to the power of 1/2, to the nearest integer? 18 What is 137277 to the power of 1/2, to the nearest integer? 371 What is the square root of 85 to the nearest integer? 9 What is the third root of 3914 to the nearest integer? 16 What is the cube root of 13044 to the nearest integer? 24 What is 495 to the power of 1/10, to the nearest integer? 2 What is 1377 to the power of 1/3, to the nearest integer? 11 What is 5113 to the power of 1/2, to the nearest integer? 72 What is 258 to the power of 1/6, to the nearest integer? 3 What is the third root of 1542 to the nearest integer? 12 What is 5981 to the power of 1/7, to the nearest integer? 3 What is 949 to the power of 1/3, to the nearest integer? 10 What is 10490 to the power of 1/2, to the nearest integer? 102 What is 1365 to the power of 1/9, to the nearest integer? 2 What is 66388 to the power of 1/10, to the nearest integer? 3 What is the cube root of 1816 to the nearest integer? 12 What is 117309 to the power of 1/2, to the nearest integer? 343 What is 11193 to the power of 1/3, to the nearest integer? 22 What is the third root of 661 to the nearest integer? 9 What is the eighth root of 1503 to the nearest integer? 2 What is the square root of 18129 to the nearest integer? 135 What is 1207 to the power of 1/3, to the nearest integer? 11 What is 2699 to the power of 1/2, to the nearest integer? 52 What is the cube root of 6902 to the nearest integer? 19 What is 6626 to the power of 1/9, to the nearest integer? 3 What is 1550 to the power of 1/3, to the nearest integer? 12 What is the cube root of 7927 to the nearest integer? 20 What is 1512 to the power of 1/2, to the nearest integer? 39 What is the square root of 750 to the nearest integer? 27 What is the cube root of 3595 to the nearest integer? 15 What is the cube root of 3940 to the nearest integer? 16 What is 26642 to the power of 1/2, to the nearest integer? 163 What is the cube root of 38478 to the nearest integer? 34 What is 60607 to the power of 1/5, to the nearest integer? 9 What is the sixth root of 394 to the nearest integer? 3 What is the square root of 8751 to the nearest integer? 94 What is 11160 to the power of 1/6, to the nearest integer? 5 What is 9097 to the power of 1/5, to the nearest integer? 6 What is the fourth root of 47604 to the nearest integer? 15 What is the square root of 49756 to the nearest integer? 223 What is the sixth root of 24451 to the nearest integer? 5 What is the square root of 12745 to the nearest integer? 113 What is the square root of 156463 to the nearest integer? 396 What is the square root of 33048 to the nearest integer? 182 What is the cube root of 7416 to the nearest integer? 20 What is the third root of 2379 to the nearest integer? 13 What is 91619 to the power of 1/5, to the nearest integer? 10 What is the ninth root of 230 to the nearest integer? 2 What is the third root of 3125 to the nearest integer? 15 What is 15008 to the power of 1/6, to the nearest integer? 5 What is the square root of 3700 to the nearest integer? 61 What is the eighth root of 2116 to the nearest integer? 3 What is the square root of 3046 to the nearest integer? 55 What is the ninth root of 1307 to the nearest integer? 2 What is the seventh root of 8173 to the nearest integer? 4 What is 20781 to the power of 1/10, to the nearest integer? 3 What is the square root of 38818 to the nearest integer? 197 What is the third root of 1994 to the nearest integer? 13 What is the third root of 5136 to the nearest integer? 17 What is 1371 to the power of 1/7, to the nearest integer? 3 What is 4267 to the power of 1/2, to the nearest integer? 65 What is the eighth root of 798 to the nearest integer? 2 What is the seventh root of 26676 to the nearest integer? 4 What is 11583 to the power of 1/3, to the nearest integer? 23 What is the fifth root of 228 to the nearest integer? 3 What is the cube root of 98208 to the nearest integer? 46 What is the fourth root of 7145 to the nearest integer? 9 What is the square root of 836 to the nearest integer? 29 What is the fourth root of 1787 to the nearest integer? 7 What is the square root of 4780 to the nearest integer? 69 What is 1519 to the power of 1/2, to the nearest integer? 39 What is the third root of 9909 to the nearest integer? 21 What is the seventh root of 17519 to the nearest integer? 4 What is the cube root of 2500 to the nearest integer? 14 What is 86440 to the power of 1/10, to the nearest integer? 3 What is the square root of 170113 to the nearest integer? 412 What is the third root of 25120 to the nearest integer? 29 What is the third root of 1523 to the nearest integer? 12 What is 34588 to the power of 1/2, to the nearest integer? 186 What is 28866 to the power of 1/2, to the nearest integer? 170 What is 4187 to the power of 1/2, to the nearest integer? 65 What is the eighth root of 47765 to the nearest integer? 4 What is 1971 to the power of 1/3, to the nearest integer? 13 What is the fifth root of 1350 to the nearest integer? 4 What is the cube root of 67522 to the nearest integer? 41 What is 1352 to the power of 1/2, to the nearest integer? 37 What is 87 to the power of 1/3, to the nearest integer? 4 What is the seventh root of 2106 to the nearest integer? 3 What is 7383 to the power of 1/3, to the nearest integer? 19 What is the square root of 923 to the nearest integer? 30 What is 73189 to the power of 1/2, to the nearest integer? 271 What is 2488 to the power of 1/4, to the nearest integer? 7 What is the square root of 12369 to the nearest integer? 111 What is the seventh root of 15377 to the nearest integer? 4 What is the cube root of 16919 to the nearest integer? 26 What is 14601 to the power of 1/8, to the nearest integer? 3 What is 4491 to the power of 1/6, to the nearest integer? 4 What is 1385 to the power of 1/3, to the nearest integer? 11 What is the third root of 21341 to the nearest integer? 28 What is the third root of 108014 to the nearest integer? 48 What is the seventh root of 62 to the nearest integer? 2 What is 597 to the power of 1/2, to the nearest integer? 24 What is 3673 to the power of 1/4, to the nearest integer? 8 What is 44886 to the power of 1/3, to the nearest integer? 36 What is the square root of 1152 to the nearest integer? 34 What is 37437 to the power of 1/5, to the nearest integer? 8 What is 504 to the power of 1/3, to the nearest integer? 8 What is 114742 to the power of 1/2, to the nearest integer? 339 What is the third root of 117891 to the nearest integer? 49 What is the eighth root of 910 to the nearest integer? 2 What is the sixth root of 8498 to the nearest integer? 5 What is the eighth root of 7209 to the nearest integer? 3 What is 38577 to the power of 1/2, to the nearest integer? 196 What is 8409 to the power of 1/7, to the nearest integer? 4 What is the fifth root of 854 to the nearest integer? 4 What is 28116 to the power of 1/2, to the nearest integer? 168 What is the cube root of 8528 to the nearest integer? 20 What is the cube root of 1226 to the nearest integer? 11 What is the third root of 1286 to the nearest integer? 11 What is 63511 to the power of 1/2, to the nearest integer? 252 What is 58283 to the power of 1/3, to the nearest integer? 39 What is 1482 to the power of 1/3, to the nearest integer? 11 What is 1842 to the power of 1/3, to the
{ "pile_set_name": "DM Mathematics" }
8*s - 1 - 7*s**2. Let p be m(10). Is a(p) a prime number? False Let k(u) = 24652*u**2 + 3*u - 41. Is k(2) composite? False Is ((-254634)/12 + 5)/(-1 - 1/2) composite? False Let a(j) = 315*j**2 - 50*j - 157. Is a(20) prime? False Suppose 2*y - y = -4*d + 160, -4*d + 4*y = -160. Let a be 144/10 + (-16)/d. Suppose a*n - 4197 = 11*n. Is n prime? True Suppose 0 = 2*b - 7*b + 3*f + 2409, -5*b + 2407 = -4*f. Suppose 2*x - 1905 - b = 0. Suppose x = 4*u + 374. Is u prime? False Let a(j) = -112*j**3 - 11*j**2 - 4*j + 2. Let s(h) = -h**2 + 10*h + 21. Let m be s(12). Is a(m) composite? False Let d = 13768 + -9051. Let s = -2138 + d. Is s prime? True Let m = 1 + -1. Let a = -622 + 627. Suppose -3*o = -m*o - a*t - 2073, t = 5*o - 3455. Is o composite? False Suppose -310*k + 223505175 = 125*k. Is k composite? True Let i(v) = 7*v**2 + 3*v + 9. Let x = 79 - 69. Is i(x) a composite number? False Let f(p) = -p - 4. Let m be f(-17). Suppose 5*a - 35183 = 4*n, 2*a - 14069 = 16*n - m*n. Is a a prime number? True Suppose 1126431 = 200*c - 6834169. Is c prime? False Let x be (130/(-25) - -4)*-5 + -4. Suppose -2 = -4*b + x, 2335 = j + 2*b. Is j composite? False Is (-3*374819)/((-3)/(-2))*(-2)/4 a prime number? True Suppose -2*h + 265 = 67. Suppose 94*s = h*s - 11045. Is s prime? False Let o be (-10 - -5) + 6 - -6. Suppose -o*r - 13104 = -3059. Let v = -984 - r. Is v a composite number? True Let k be 9/(-3) - (-115192)/11. Let g = k - 4732. Is g a prime number? True Let j = -408 - -422. Is 5315 - (2/(-4)*j - -5) a composite number? True Suppose 0 = -2*b + 4*w + 146926, -4*w + 34484 = 5*b - 332887. Is b a prime number? True Suppose 9*z = -5*q + 5*z + 344085, 0 = -3*q + z + 206434. Is q a composite number? False Let n = -16 - -21. Suppose -2*t + 6*h - n*h + 4103 = 0, -t - h + 2056 = 0. Is t prime? True Suppose -957*l = -994*l + 3951119. Is l a composite number? False Suppose 0 = -3*t - 5*k + 315617, 2*t - 5*k = -3*k + 210390. Is t prime? True Let h = -282 - -1927. Suppose 7*t = 700 + h. Is t a prime number? False Let a be (-2)/(-10) - 0 - 3408/(-10). Let h be -2 + 3/2 + a/22. Is (1910/h)/((-7)/(21/(-2))) a composite number? False Suppose -4*h = -22 - 26. Suppose 3*o + h = -0*s - 5*s, 2*s = 4*o + 16. Suppose -2*q + 2*x = -1118 - 226, s = -3*q - 3*x + 2046. Is q composite? False Suppose 2*i = i - o + 1218, -4*i = -o - 4882. Suppose -4*j + 1172 + i = 0. Let d = j - -213. Is d a prime number? True Suppose -172*f = -65*f - 6603719. Is f a composite number? False Is ((-5526631)/22)/((-23)/46) composite? False Let i = -15 - -72. Let r = 47 - i. Is (-2948)/r*(-105)/(-42) composite? True Let o(g) be the third derivative of 109*g**4/24 + 13*g**3/6 + g**2 + 40*g. Is o(4) a prime number? True Let h(m) = -1635*m - 60. Let z(p) = 817*p + 30. Let y(b) = -6*h(b) - 11*z(b). Is y(1) a prime number? True Let z be 7 - 5*(-24)/(-30). Suppose -z*y - 2026140 = 12*y. Is 7/70 + y/(-40) composite? True Suppose 9*i - 1560614 = -22*j + 10*i, 0 = 2*j - i - 141874. Is j composite? False Let l be (-23)/(-207) - 38*2/36. Is 5218/l*(-19)/19 prime? True Let h(n) = -n**3 - n**2 - 2*n + 2*n**3 + 11 - 3*n**2. Let m be h(4). Suppose m*u - 394 = 257. Is u prime? False Suppose -l + 9424 = -c, -3*c + 19209 = 4*l - 18515. Let g = 8370 + -14919. Let w = l + g. Is w a composite number? False Suppose 5*k - 18 = 3*k. Let p be (6/k)/((-3)/(-9)). Is -1*p + (-440)/(-8) a composite number? False Let q = 74 + -71. Let y be 18/(-10)*40/(-12). Suppose 0 = 2*b + q*c - 1943, y*b - b + 5*c - 4870 = 0. Is b a composite number? True Suppose -12122 = -3*i + 22978. Suppose -5*o + 17609 = 4*l, -5*l = -2*o - i - 10336. Suppose 1847 = -4*d - w + 6245, -4*d - 5*w + l = 0. Is d a prime number? False Let b(t) = 115*t**2 + 5*t + 1. Let v(s) be the third derivative of -s**5/60 + 3*s**4/4 - 34*s**3/3 - 19*s**2. Let i be v(12). Is b(i) a prime number? True Suppose 5*o - 69431 = -4*r, 11503 = o + 5*r - 2400. Is o prime? True Let k(a) = -a + 3. Let l be k(-5). Let v(b) be the third derivative of 41*b**4/12 - 3*b**3/2 - 22*b**2 - 49. Is v(l) a prime number? True Let b = 2035693 - 1202694. Is b prime? False Let n = -59804 - -96939. Suppose 65*q + n = 72*q. Is q prime? False Let i(p) = -4*p**2 - 36*p + 13. Let b be i(-13). Is (-4)/30 - (-6 - (-1779401)/b) composite? True Let f = -453421 - -2002442. Is f a composite number? True Let o be -6 - (-1 + 5 - -12). Is 6*(-1609)/o + (-4)/(-22) composite? False Let a(r) = 1004*r**2 + 2925*r + 6. Is a(-7) composite? True Let s = 341 - 222. Suppose 3*c - 2926 = s. Suppose -9*a + 4*a + c = 0. Is a a prime number? False Let d = -193162 + 274139. Suppose -d = 7*r - 242684. Is r prime? False Is (1/2)/((-115491134)/(-5249596) + -22) a prime number? False Let j(l) = l**3 - 2*l**2 + l + 51. Is j(22) prime? False Let c = -1202 - -2495. Is c a prime number? False Let h be (-5 + (-80)/(-15))/(3/36). Suppose 4*r + 4 = 0, -b = 3*b + h*r - 9000. Is b a composite number? False Suppose 33*h + 252 = -9*h. Is 689586/(-76)*4/h prime? False Suppose 5*b - 193188 = -3*a + 127999, 0 = b - a - 64231. Let n = b + -39698. Is n composite? True Suppose -2*q + 62374 = 3*q + 4*f, 49901 = 4*q + 5*f. Let x = -7061 + q. Is x a composite number? False Let k = 86573 + -52612. Is k prime? True Let a(w) = -3*w. Let c be a(0). Let m = -2223 + 4225. Suppose 3*g - 1199 - m = c. Is g composite? True Suppose j = -5*z - 70, -3*z + 3*j - 6*j - 30 = 0. Let v(c) = 9*c**2 + 21*c + 29. Is v(z) composite? True Let y = 135 + -130. Let n = 4 + 1. Suppose y*q + n*f = 6975, 3*q + 1399 = 4*q - f. Is q composite? True Let r(x) = -1938*x + 31. Let i be r(15). Let a = -8521 - i. Is a prime? False Suppose 2*j + 16*q - 20498 = 13*q, 0 = 3*j - q - 30725. Is j prime? True Let h(f) = f**3 - 76*f**2 - 690*f + 398. Is h(91) a prime number? False Let f = 14504 + -25839. Let s = f - -19836. Is s a prime number? True Suppose -98*z + 77761 = -97*z. Is z a composite number? False Suppose 4*k - 6 = 18. Suppose -4*d + k*d = -132. Let z = -19 - d. Is z a prime number? True Let b = 1965 - 3688. Let u = -369 - b. Is u a prime number? False Let w(s) = -8*s**3 + 4*s**2 + 3*s - 2. Let u be w(4). Let h = 463 + u. Is h a prime number? False Let h be (-1 + -78)*1 - (7 - 3). Let n = -77 - h. Suppose 10*o = n*o + 748. Is o a composite number? True Let u(n) = 25*n**3 - 8*n**2 + 28*n - 3. Let v(k) = -k**3 + 2*k. Let l(g) = u(g) - 3*v(g). Is l(2) composite? False Suppose -86*z = -89*z - 72. Is 1777*(z/(-4))/6 composite? False Let z(o) = 7*o**3 - 13*o**2 - 3*o + 63. Let x(q) = -5*q**3 + 9*q**2 + 2*q - 42. Let b(p) = 8*x(p) + 5*z(p). Is b(-4) a prime number? False Let f be (4 + 2/((-6)/13))*-9. Suppose -3*y - 2217 = -n + 250, f*n + 3*y = 7449. Is n prime? False Let r = 3658 - -3088. Suppose 2*j + 558 = 5*c + r, -4*c = 2*j - 6206. Is j a prime number? False Let p(a) = 2*a**2 - 4*a + 22. Suppose 193 + 95 = -12*c. Let f be p(c). Suppose v + f = 6*v. Is v a composite number? True Let a(i) = i**2 + 2*i - 6. Let q be a(-6). Suppose 0*k + 3*k = -q. Is (-5642)/k + ((-46)/(-6) - 7) composite? False Let p = 87 + -82. Suppose 2*x = p*x + 3*x. Let b(f) = 3*f + 178. Is b(x) a composite number? True Let d be (-4)/(-14) + 8/(672/470796). Suppose 2*b - 7*b = -d. Is b prime? False Let r be (-1 - -1)/(-6 + 2). Suppose 0 = -2*q - 4*c - r - 12, 5*c + 15 = 0. Suppose 0 = -2*o + z + 155, q = -5*o - 0*o - 5*z + 410. Is o prime? True Let i(d) = d**3 - 12*d**2 - d - 8. Let t be i(12). Let c = t - -28. Is (-23330)/(-40) + (-2)/c a composite number? True Let l(b) = -16652*b - 5350. Is l(-49) a composite number? True Suppose 38 = -3*h - 43. Let w be 1*-92*-3 + 27/h. Suppose -5*f + w + 120 = 0. Is f prime? True Let y(q) = -q - 8. Let s be y(-11). Suppose 1072 = s*t + 364. Suppose 6 = -2*n + t. Is n a prime number? False Let z(u) = 355*u - 30. Let h be z(7). Let f = 5352 + h. Is f prime? False Let a(d) = -11 - 5*d + 7 + 2904*d**2 - 2. Is a(-1) prime? True Let m(u) = 61*u**2 - 51*u - 1215. Is m(-34) a composite number? True Let q = -11 - -47. Let m = -34 + q. Is (2 - 8/m)/2*-757 a composite number? False Is (-12 + 414/36)*(-359557 - 1) prime? True Is ((-1)/18*-12)/(-1)*(-847668)/8 a prime number? True Let p(r) = r**3 - 3*r**2 - 2*r - 5. Let w be p(4). Suppose 0*x = -3*f - 5*x + 26467, 2*x - 26461 = -w*f. Is f prime
{ "pile_set_name": "DM Mathematics" }
**3 + 0*y**3 - 54*y - 51*y**5 - 2*y**5 + y**5 + 3*y**5 + 0*y**5 + 4*y**5 - 5*y**5 + (-2 + 4 + 0)*(-5*y**5 + 4*y**5 + 3*y**5). -46*y**5 - 2*y**3 + y Expand (0*r - r - r)*(-1 - 2 - 3*r + 1). 6*r**2 + 4*r Expand (-q + 0*q + 0*q)*(-q + 2*q - 3*q) - 3*q**2 - 5*q**2 + 4*q**2. -2*q**2 Expand (-x - 7*x + x)*(-5*x + x + 2*x) - 2*x**2 + 0 + 0. 12*x**2 Expand -2*w**2 - w + w + (-w - w + 4*w)*(w - 3 + 3) + w - w + w**2. w**2 Expand (-1 + 1 + 2*g)*(2 - 5 + 1)*(7*g**3 + g**3 - g**3 + 2*g**2). -28*g**4 - 8*g**3 Expand (-2*l**2 + 2*l - 2*l)*(-2*l**2 + 0*l**2 + l**2 + (-3*l + 0*l + 2*l)*(-2*l + 2*l - 2*l) - 4 + 4 + 2*l**2) - 2*l**4 - l**4 + 5*l**4. -4*l**4 Expand -w**5 + 2*w**5 + 2*w**5 + (3*w**2 - 3*w**2 + w**3)*(-w - 2*w**2 + w) + (-w**5 + 4*w**5 - w**5)*(5 + 2 - 4). 7*w**5 Expand (2 - 2 - 2*d)*(-2 + 0 + 3) + (-3 + 5 - 3)*(-2*d + 0*d + d). -d Expand (2 - 13 - 2)*(6*l - 6*l - 4*l**5). 52*l**5 Expand (-4*j**2 + j**2 + 2*j**2 + (0*j - j + 2*j)*(2 - 2 - 2*j) + 0 + 0 - 7*j**2)*(j + j + 0*j)*(j**2 + 3*j**2 - 3*j**2). -20*j**5 Expand (3*w**2 - 3*w**2 + w**2)*(2*w - 2*w - 4*w) + 0 + 0 + 2*w**3. -2*w**3 Expand (4 - 4 + 1)*(0 - 1 - 5)*(0*s + 0*s + s**3). -6*s**3 Expand (0*m - m - m)*(-3 + 5 - 15). 26*m Expand (-1 + 1 + 1)*((4 - 4 + 2)*(-2*t - 3*t + 3*t) - 4*t + 23 - 28 + 13). -8*t + 8 Expand (-3*r - 3*r + 7*r)*(4*r + r - 6*r)*(r**3 + 8 - 8). -r**5 Expand (-x**2 + x**2 - 2*x**2)*(2*x - 2*x + 7*x**2) + (3 - 1 + 0)*(-x**4 - x**4 + x**4) - x**4 + 0*x**4 - x**4 - 3 + x**4 + 3. -17*x**4 Expand c + c**4 - c + (-2*c**4 - 1 + 1)*(-1 + 5 - 2) + 0*c**4 + c**4 + c**4 + 4*c**4 - 11*c + 11*c. 3*c**4 Expand 2*k**5 + 16*k**2 - 10*k**2 - 4*k**5 + (2*k**2 + 0*k**2 - 3*k**2)*(-k**3 + 3*k**3 - k**3). -3*k**5 + 6*k**2 Expand (5*v**3 - v**3 + 2*v**3)*(-v + 1 + 3 - 2). -6*v**4 + 12*v**3 Expand (-4 + 0 + 14)*(5*c - 4*c**3 - 4*c + 2*c**3). -20*c**3 + 10*c Expand -2*o**3 + 0*o**3 + 4*o**3 - 4 + 4 - 2*o**3 + (o - 5*o + o)*(-2*o**2 + 3*o**2 - 2*o**2) + 2 + 2*o**3 - 2. 5*o**3 Expand (4 + 0 - 1)*(3*d**4 + 0*d**3 + 0*d**3 + (6*d**3 - 3*d**3 - d**3)*(-3*d + 5*d + 0*d)). 21*d**4 Expand (-j**2 + j**2 + j**3)*(0*j**2 + 2*j**2 - 7*j**2)*(-3 + 1 - 2) + (-j - j**2 + j)*(-2*j**3 + 0*j**3 + 4*j**3). 18*j**5 Expand (z**2 - z**2 + z**3)*(545 - 545 + 58*z). 58*z**4 Expand (d**2 - d**2 - 2*d**2)*(2*d + 3*d + 0*d) + 0*d - 2*d**3 + d + 4*d. -12*d**3 + 5*d Expand (0 - 3 + 0)*(-2*g**5 - g**5 + g**5) + 0*g + 2*g - 9*g**5 + 7*g**5. 4*g**5 + 2*g Expand (-2 + 0 + 4)*(-k**3 - k + k) + 4*k**3 - k**3 - 4*k**3 + 2*k**3 - 3*k**3 + 2*k**3 + (-4 - 6 + 2)*(-k**3 + 0*k**3 + 3*k**3) - 1 + 1 + k**3. -17*k**3 Expand -60*t - 65*t + 43*t + (-4 + 5 - 2)*(2*t + 3*t - 3*t). -84*t Expand (-f + 2*f - 2*f)*(-1 - 1 - 1) + f - 4 + 4. 4*f Expand 5*u - 3*u + 0*u + (2*u - 3 + 3)*(-4 - 5 + 3). -10*u Expand (-20 + 20 - 5*n)*(5*n + 2*n - 5*n)*(3 + 2 - 3 + (-1 + 1 - 1)*(-1 - 2 + 4)). -10*n**2 Expand 2 + 3*t**5 - 2 + 0*t**5 + t**5 + t**5 + (-3*t**4 + t**4 + 4*t**4)*(5*t - 4*t + t) + 5*t**2 + 3*t**5 - 4*t**2 - 2*t**5. 10*t**5 + t**2 Expand 2*c - 4 + 4 - 2*c + 4*c + 0*c + (-c + 3*c + 0*c)*(1 + 3 - 2) + 4*c - 4*c + c - c - 3*c + 5*c. 10*c Expand (0*i**2 + 24*i**3 + 0*i**2)*(-i**2 - i**2 + 3*i**2). 24*i**5 Expand 1 - 2*v - 1 + (-1 + 4 - 2)*(4*v - 2*v - 4*v). -4*v Expand (m**2 - 4*m**2 + 2*m**2)*((-2*m - 2 + 2)*(0 + 4 - 2) + 3*m + 5*m + 5*m + 2*m + 2*m - 2*m)*(1 + 2 - 5)*(-4 - m + 4). -22*m**4 Expand (2*h**2 + 3*h**2 + h**2)*(-2*h - 1 + 1). -12*h**3 Expand (2*z + z - 5*z)*(2*z + 2*z - 3*z) + 2*z**2 + 1 - 1 - 4*z**2 + 5*z**2 + 0*z**2 + z**2 + 0*z + 0*z + (2*z + 1 - 1)*(2 - 2 + z). 4*z**2 Expand (1 - 1 - g**3)*(2*g + 0*g - g) - 2*g**2 - g**4 + 2*g**2 + 9*g**4 - 87 + 87. 7*g**4 Expand (-2*d + d + 2*d)*(-15*d**3 + 17*d**2 - 17*d**2). -15*d**4 Expand (-4 + 5 + 6)*(2*j - 3*j + 0*j + (1 + 0 + 0)*(-4 + 4 - 2*j) + 2*j + j - 5*j + 0*j + 0*j + j + (0*j + 0*j - j)*(3 - 1 - 4)). -14*j Expand (-2*x - 4 + 4)*(-4 + 2 + 0) - 3*x + 0*x + x - 3 + 3 + x + (-2 - 9 + 5)*(0 + 2*x + 0). -9*x Expand 4 - 4 - 2*m + (m + 0*m - 2*m)*(1 + 0 - 5). 2*m Expand (-1 + 1 - 2)*(-3*p - 2*p + 4*p + (0*p + 3*p - p)*(4 - 2 + 0) - p + 2*p - 2*p - 2*p + 0*p + 3*p - 3 - 2*p + 3 - p + p + 2*p + 6*p - 4*p - 3*p). -4*p Expand (0 + 1 - 4)*(-u + 2*u + 0*u). -3*u Expand 0*s + 0*s - 2*s + (-6*s + 0*s + 4*s)*(-2 + 0 + 3) - s + 2*s - 3*s + 2*s - 2*s + s + 2 - 2 + s + 2*s - s - 2*s + (-14*s - 7*s - 7*s)*(-1 + 3 - 1). -33*s Expand (2436 + 43*l**2 - 2436)*(3*l - l - l). 43*l**3 Expand (0*g**3 - 2*g**3 + g**3)*(-3 + 3 + 2*g) + g**3 - 2*g**4 - g**3 + 4*g**4 - 2*g**4 + 0*g**4 + 17*g**4 - 156*g**4 + 85*g**4. -56*g**4 Expand -2*r - 39 + 39 - r + 2*r + r + (r + r - r)*(-1 + 3 - 1). r Expand 2*l + 3*l**2 - l**2 + l**2 + l**5 + 3*l**5 - l**5 - 5*l**5 + (-l + 3 - 3)*(5*l**4 - 4*l**4 - 4*l**4) + 3*l**5 - 3*l**5 - 2*l**5. -l**5 + 3*l**2 + 2*l Expand (1 - 1 - 5)*(-5*v**2 + 3*v**2 + 0*v**2)*(3*v - 7*v - 2*v). -60*v**3 Expand (4 - 3 + 0)*(9*g - 90 + 90 - 1 + 1 - g + (3*g - g - g)*(-1 - 2 + 2)). 7*g Expand d**2 + 3*d**2 - 5*d**2 + (-d + 2*d + 0*d)*((0 + 0 - 1)*(-2*d + 0*d + 3*d) + 2*d - 4*d + d + d - 1 + 1). -2*d**2 Expand 9*c**3 - 11*c**3 - 11*c**3 + (c**3 - 3*c**3 + 3*c**3)*(5 - 1 - 5). -14*c**3 Expand -3*r**4 - 3*r**4 - r**4 + (r + r**3 - r)*(0*r + 4*r - 2*r) + 4*r**4 - 3*r**4 - 3*r**4. -7*r**4 Expand (9 - 5*n - 9)*(4 - 1 + 1). -20*n Expand 2 + 2 + p**3 - 3 + (2 - 2 + 2*p)*(-8*p**2 + 98*p**2 - 2*p**2). 177*p**3 + 1 Expand (2*x**2 - 3*x**2 + 2*x**2)*((2 + 1 - 2)*(5*x - 2*x - 2*x) - x + 9*x - 4*x + 4*x - x - 4*x). 4*x**3 Expand (21*n**2 - 9*n**2 - 3*n**2)*(2*n - 4*n + 1 + 0*n). -18*n**3 + 9*n**2 Expand (-13 + 24 + 2*u - 1)*(-3 + 0 + 4)*(-5 - 1 + 3). -6*u - 30 Expand (-4*d - 3*d + 3*d)*(2*d - 2*d + 2*d). -8*d**2 Expand 2*p**3 + 0*p**3 - 7*p**3 + (2 + p**2 - 2)*((-2*p + p + 3*p)*(-1 + 0 + 2) - p + 0*p + 0*p). -4*p**3 Expand (-x**3 - x**3 + x**3)*(-2*x - 3*x + 6*x + (1 - 2 + 0)*(4*x + 0*x - 2*x) - 4*x + x - 9*x). 13*x**4 Expand (3*u - u - 3*u)*(5 - 22*u**4 - 4 - 12*u + 21*u**4). u**5 + 12*u**2 - u Expand (j**5 + 4*j**2 + 3*j**2 - 5*j**2)*(-1 + 4 - 6). -3*j**5 - 6*j**2 Expand (-a**4 + 3*a**2 - 3*a**2 + a**2)*(0 + 3 - 9)*(6 - 2*a - 6). -12*a**5 + 12*a**3 Expand (-2*g - 2*g - g)*(g**2 - g**2 - 2*g**2) + g**3 + 5*g - 5*g. 11*g**3 Expand -l + 0*l - l - 2*l + 1 - 1 + (0*l + 3*l - 2*l)*(3 - 1 - 3). -5*l Expand (-w**2 + 0*w**2 - w**2)*(-6*w**3 + 8 - 8). 12*w**5 Expand (-2*g**2 - 2*g + 2*g)*(-15*g + 11 + 11 - 24). 30*g**3 + 4*g**2 Expand (-a - 2*a + a)*(2*a - 1 + 1) - a**2 - 4*a**2 + 4*a**2 + (a**2 - 3*a**2 + 3*a**2)*(2 + 3 - 2). -2*a**2 Expand (-29*w**3 + 53 - 53)*(3 - 3*w - 3). 87*w**4 Expand (-2*x**3 + 3*x**3 - 3*x**3)*(4 - 4 - 2*x) - x**2 + 20*x**3 - 12*x**3 - 2*x**4 + 0*x**4. 2*x**4 + 8*x**3 - x**2 Expand k + k - 3*k - k + k + 2*k + (0*k - k + 4*k)*(-6 + 4 + 1). -2*k Expand (o + 0 + 0)*(-2 + 2 - 1) + 2*o + 2*o - 2*o. o Expand (3*m**2 + m**2 + 7 - 4*m + 5*m)*(0 - 2 + 0). -8*m**2 - 2*m - 14 Expand 680*r - 66*r**5 - 680*r + 2*r**5 - 3*r**3 + 3*r**3 - 3*r**5 - r**5 + 2*r**5 + (3*r**2 - r**3 - 3*r**2)*(0 + 0 - r**2) + 0*r**5 + 2*r**5 - 4*r**5. -67*r**5 Expand (0*j - j + 0*j)*(2 - 4 + 3)*(0 + 3 - 4). j Expand 0*y**5 - 3*y**5 + 2*y**5 + (-4*y**2 + 4*y**2 - 2*y**2)*(-2*y**3 - y**3 + 2*y**3) - y**5 + 0*y**5 + 2*y**5 - 4*y**3 + 4*y**3 + 2*y**5. 4*y**5 Expand (-2*o**3 + o**3 + 0*o**3)*(5*o**2 - o**2 + 2*o**2). -6*o**5 Expand (4 + 1 - 4)*(1 + 3*x**3 - 3 + 3*x**3). 6*x**3 - 2 Expand (-34 + 31 - 13*d + 10*d)*(d**3 + d - d) - 2*d**4 + 5*d - 5*d. -5*d**4 - 3*d**3 Expand (-2*n - n + 5*n)*(-15*n**3 + 4*n**3 - 4 + 8*n**3). -6*n**4 - 8*n Expand -2*o**5 + 2*o**5 + 2*o**5 - o**5 - 5*o**2 + 5*o**2 + (3 + o - 3)*(0*o**4 - o**4 - o**4) - 3*o**5 - o**3 + o**3. -4*o**5 Expand -2*x + 3*x + 2*x**5 + 0*x**5 + x**4 + (-2*x**2 + 5*x**2 + 0*x**2)*(1 - x**3 - 1). -x**5 + x**4 + x Expand (-g**2 + g**2 + 2*g**3)*(-2 - 1 + 4)*(-3*g - 3*g + 3*g)*(0 + 0 - 2). 12*g**4 Expand -m**3 - m**5 - m**5 + 2*m**3 + (m**4 + 2 - 2)*(6*m + 0*m - m) + 2*m**5 + 0*m**3 + 0*m**3. 5*m**5 + m**3 Expand (-5*b + 5*b - 3*b)*(4 - 12 - 7). 45*b Expand 0*t + t + t + (5*t - 2*t - 5*t)*(3 - 3 - 2) + 0*t + 3*t - t - t + 5*t - 3*t + 8*t - 7*t - 1 + 2. 10*t + 1 Expand (-6*c + 2*c + 0*c)*(3 - 3 + 4*c)*(c - 4*c + 2*c). 16*c**3 Expand (-9 - 8 + 6)*(-3*u**3 + 3*u**3 - 9*u**3). 99*u**3 Expand (2*q
{ "pile_set_name": "DM Mathematics" }
p**n - 6*p**2 wrt p. -36 Let m(n) = n**2 + n - 1. Let u be m(-3). What is the third derivative of k**u + k**2 + 0*k**2 + 3*k**2 wrt k? 60*k**2 Let c(f) be the third derivative of -f**5/60 + f**4/24 + f**3/3 - f**2. Let s be c(0). What is the third derivative of 2*i**3 - 2*i**2 - i**3 + 4*i**s wrt i? 6 Let i(w) be the second derivative of -53*w**4/12 + 3*w**3 + 6*w + 3. What is the second derivative of i(n) wrt n? -106 Let a(p) = p + 9. Let c be a(-7). Find the third derivative of -y**2 - 7*y**3 - 3*y**c + 2*y**3 wrt y. -30 Suppose 0 = -i + 6 - 1. Let z(h) = -4*h**3 - 2*h**2 - 3. Let c(f) = 9*f**3 + 5*f**2 + 5. Let m(s) = i*z(s) + 3*c(s). Find the third derivative of m(u) wrt u. 42 Let t(v) be the third derivative of 31*v**7/210 - 4*v**3/3 - 2*v**2. Differentiate t(g) wrt g. 124*g**3 Let x(k) be the first derivative of -25*k**4/4 - 4*k**2 + 26. Find the second derivative of x(z) wrt z. -150*z Suppose 3 - 7 = -2*m. Suppose 5*u + v = 0, -3*u = -u - 2*v. Find the second derivative of 2*g - 4*g + u*g + g**m wrt g. 2 Let i(v) = 18*v**4 + 4*v**3 + 6*v. Let m(y) = -17*y**4 - 3*y**3 - 7*y. Let t(s) = -3*i(s) - 4*m(s). What is the second derivative of t(l) wrt l? 168*l**2 Find the third derivative of 0 + 8*z**2 - 11*z**3 - 25*z**3 + z**2 + 2 wrt z. -216 Let q(v) be the third derivative of -v**5/60 - 5*v**3/6 + v**2. Differentiate q(a) with respect to a. -2*a Let t(u) be the second derivative of u**6/6 - u**2 - 25*u. Find the first derivative of t(p) wrt p. 20*p**3 Let n(m) = -3*m**4 - 5*m**3 - 5*m**2 - 2*m. Let f(x) = -x**4 - x**3 - x**2 - x. Let l(r) = -5*f(r) + n(r). Find the second derivative of l(z) wrt z. 24*z**2 Let n(w) = -6*w**2 + 2*w + 3. Let z be (18/(-2))/(-1)*-1. Let p(y) = 24*y**2 - 9*y - 12. Let o(c) = z*n(c) - 2*p(c). What is the first derivative of o(g) wrt g? 12*g Let i(x) = -x**3 + 4*x**2 - 3*x + 1. Let w be i(3). Let p = w - -1. What is the third derivative of -3*v**2 - 5*v**2 - 2*v**6 + 6*v**p wrt v? -240*v**3 Suppose 5*j = 3*j - 3*n + 19, -3*j + 24 = 3*n. What is the third derivative of a**2 + 0*a**2 - 3*a**2 - 4*a**j wrt a? -240*a**2 What is the third derivative of -3*v**2 - 10*v**3 - 38*v + 38*v wrt v? -60 Let o(k) = k**5 - k**4 - k**3 + k. Let z(a) = 30*a**5 - 3*a**4 - 3*a**3 - 22*a**2 + 3*a. Let m(w) = -3*o(w) + z(w). What is the third derivative of m(j) wrt j? 1620*j**2 Let v(z) = 13*z**3 - 11. Let g(l) = 12*l**3 - 11. Let q(j) = 5*g(j) - 6*v(j). What is the derivative of q(w) wrt w? -54*w**2 What is the second derivative of -3*j + 2*j**3 + 0*j + 4*j**3 - 7*j**3 wrt j? -6*j Let n(r) be the second derivative of -r**10/15120 - r**6/720 - r**4/4 + 3*r. Let z(m) be the third derivative of n(m). Find the second derivative of z(x) wrt x. -40*x**3 Let d(v) be the first derivative of 4*v**3 + 14*v + 12. Differentiate d(z) wrt z. 24*z Let x(b) be the first derivative of 3*b**2/2 + 9*b - 2. What is the first derivative of x(w) wrt w? 3 Let f(v) be the second derivative of 5*v**7/14 + 4*v**4/3 - 20*v. Find the third derivative of f(n) wrt n. 900*n**2 Let g(k) be the first derivative of -k**4 - 7 + 3*k**4 + 2*k - 3*k**4 + 2*k. What is the derivative of g(a) wrt a? -12*a**2 What is the second derivative of 407 - 10*n - 407 - 5*n**2 wrt n? -10 Let c(t) be the first derivative of -9*t**5/5 + 5*t**2/2 + 3. Find the second derivative of c(f) wrt f. -108*f**2 Let s(m) be the first derivative of -m**8/840 + m**5/24 + m**3 + 3. Let g(k) be the third derivative of s(k). Find the second derivative of g(p) wrt p. -24*p**2 Let c = -4 + 6. Suppose 2*m - 10 = 0, c = 2*r + 3*m - 17. What is the second derivative of -5*n**2 - 2*n - r*n + 6*n + 2*n**2 wrt n? -6 Let o be 20/40*(-1)/(-1). Let v(b) be the first derivative of -o*b**2 + 0*b + 4 - 1/3*b**3. Find the second derivative of v(g) wrt g. -2 Let m(w) = -w**2 - 7*w + 3. Let y be m(-7). Suppose 2*h = 15 - y. What is the second derivative of -d + 5*d**4 - h*d**4 - 2*d wrt d? -12*d**2 Let f(q) = -6*q**4 - 24*q**2 - 5*q. Let i(o) = 3*o**4 + 12*o**2 + 2*o. Let j(b) = -2*f(b) - 5*i(b). What is the third derivative of j(h) wrt h? -72*h Let d(h) = -9*h**3 - 5*h**2 + 5*h - 21. Let p(o) = 8*o**3 + 4*o**2 - 4*o + 22. Let t(l) = -4*d(l) - 5*p(l). Differentiate t(m) with respect to m. -12*m**2 Let m(j) be the first derivative of -j**8/840 + j**6/120 + 2*j**3/3 + 2. Let k(d) be the third derivative of m(d). What is the third derivative of k(l) wrt l? -48*l Let s(h) = -8*h**3 + 5*h**2 + 6*h + 5. Let y(o) = -o**2 + o - 1. Let a(j) = -s(j) - 5*y(j). Find the second derivative of a(x) wrt x. 48*x Suppose 4*f - 46 = -5*h - 1, -4*h = -4*f. Find the third derivative of t**2 - 3*t**6 + 8*t**5 - 8*t**h wrt t. -360*t**3 Suppose 5*x + 4*l - 7*l + 20 = 0, 0 = -5*x + 5*l - 10. Let s = x - -11. Find the third derivative of v**5 - 5*v**4 + v**2 + 5*v**s wrt v. 60*v**2 Suppose 0*o + 2*o = 10. Let a(p) = -p**3 - p**2 - 1. Let b be a(-2). Find the second derivative of -2*n - n**5 + b*n + 2*n**o wrt n. 20*n**3 Let c(i) = i**3 - 5*i**2 + 4*i + 2. Let u be c(4). Let r = 1 + 2. Find the third derivative of -2*y**2 + r*y**2 + y**2 - 2*y**3 - y**u wrt y. -12 Let j(z) be the third derivative of -13*z**7/210 - 4*z**3/3 + z**2. Find the first derivative of j(s) wrt s. -52*s**3 Let d(m) be the first derivative of 19*m**5/5 - 21*m + 10. Find the first derivative of d(r) wrt r. 76*r**3 Find the second derivative of 7*u**4 - 4*u + 58*u + 12*u + 15*u**4 wrt u. 264*u**2 Differentiate 8*s**2 - 3 + 14*s**2 - 4 - 5 with respect to s. 44*s Let t = 353/3 - 117. Let n(l) be the second derivative of 0*l**2 + 0 - l - 1/4*l**4 - t*l**3. Find the second derivative of n(b) wrt b. -6 Let k(z) be the second derivative of 0 + 3*z + 1/6*z**4 + 0*z**2 + 1/2*z**3. Find the second derivative of k(m) wrt m. 4 Let i be (-3)/(-18) + 1/(-6). Differentiate i*a**2 + 4*a**2 + 3 + 5*a**3 - 4*a**2 with respect to a. 15*a**2 Find the second derivative of -8*j**4 + 596*j**2 + 12*j - 596*j**2 wrt j. -96*j**2 What is the second derivative of -8*v**2 - 37*v - 5268*v**3 + 5268*v**3 + 3*v**5 wrt v? 60*v**3 - 16 Let n(s) be the third derivative of -1/24*s**4 + 0*s + 1/3*s**3 + 0 - 2*s**2. Find the first derivative of n(p) wrt p. -1 Let r(l) be the second derivative of -13*l**6/30 + l**4/12 - 8*l**3/3 + l**2 - 2*l + 1. Find the second derivative of r(a) wrt a. -156*a**2 + 2 Let f(r) be the third derivative of -1/15*r**5 + 0*r + 0 - 1/210*r**7 + 0*r**6 + 0*r**4 + 0*r**3 + r**2. What is the third derivative of f(m) wrt m? -24*m Let i(j) = 12*j**3 + 2*j**2 - 2*j + 9. Let t(f) = 25*f**3 + 5*f**2 - 5*f + 17. Let p(m) = 5*i(m) - 2*t(m). Differentiate p(g) wrt g. 30*g**2 Suppose -10 = -5*w - 0. Find the third derivative of t**3 + 5*t - 7*t**w - 2*t - 3*t wrt t. 6 Let t(f) be the first derivative of 0*f**2 + 6 - 2*f + 7/3*f**3. What is the first derivative of t(q) wrt q? 14*q Let b(n) be the second derivative of -17*n**6/15 - 10*n**2 + 50*n. What is the derivative of b(k) wrt k? -136*k**3 Let h(g) be the third derivative of g**5/40 + g**4/12 + g**3/3 + 5*g**2. Let o(k) be the first derivative of h(k). Differentiate o(f) with respect to f. 3 Let g(b) = -9*b**5 + 3*b**3 - 3*b**2 - 13*b + 3. Let k(n) = n**3 - n**2 - n + 1. Let d(i) = 2*g(i) - 6*k(i). Find the second derivative of d(r) wrt r. -360*r**3 Let r(z) be the first derivative of -z**6/120 + z**3/6 + z**2 - 2. Let v(w) be the second derivative of r(w). What is the derivative of v(f) wrt f? -3*f**2 Let p(r) = -r - 1. Let o(g) = 48*g**3 + g**2 + 3*g + 15. Let q(n) = o(n) + 3*p(n). Find the third derivative of q(m) wrt m. 288 Let c(m) = 26*m**2 + 6*m. Let t(k) = -17*k**2 - 4*k. Let z(x) = -5*c(x) - 8*t(x). What is the second derivative of z(q) wrt q? 12 Let u(n) = -2*n + 2. Let o be u(3). Let h = -4 - o. Differentiate 2 + h - 4 - 2*m**2 with respect to m. -4*m Let s(b) = 0*b**3 + 2*b**3 + 2 - b**3 - 6*b**2 + 0*b**3 - 7*b. Let q be s(7). What is the third derivative of n**3 - 3*n**2 + 3*n**2 - q*n**3 - 3*n**2 wrt n? -6 Let h(n) = -n + 13. Let u be h(7). Find the second derivative of 0*g + u*g**5 + g - 2*g**5 wrt g. 80*g**3 Let w(g) be the second derivative of -g**7/210 - g**4/24 + 2*g**3/3 + g. Let o(d) be the second derivative of w(d). Differentiate o(b) with respect to b. -12*b**2 Suppose -s = 4*s - 15. Find the second derivative of 11
{ "pile_set_name": "DM Mathematics" }
/(-90)*-20))/1. -9 What is the value of -3*(1/(-4))/(3*3/12)? 1 What is the value of 2*(2/(-62))/(2/(-2))? 2/31 What is the value of 88/66*(-9)/20? -3/5 Evaluate (213/284)/((-1)/((-40)/(-5))). -6 Evaluate 320/400*90/576. 1/8 Evaluate (-39432)/(-4452)*(-14)/4. -31 What is 3/24*-6*4/(-11)? 3/11 Evaluate ((-18)/8)/((-143)/(-286)*(-15)/4). 6/5 Calculate ((10/4)/(-5))/((40/(-32))/5). 2 Calculate 5*(-1)/(-10)*-1*(-40)/30. 2/3 Calculate (((-12)/(-174))/(4/(-2)))/(1/2). -2/29 What is 2/((-17)/((-442)/(-39)))? -4/3 Evaluate (-3*(-1)/180)/(((-656)/369)/(-16)). 3/20 Calculate 2/(-1)*(-26)/((-442)/51). -6 6/10*(-9100)/4095 -4/3 Evaluate (56/(-20))/(((-84)/(-30))/14). -14 What is (-707)/202*-1*(-300)/(-42)? 25 What is the value of (5/((-95)/19))/((-3)/9*25)? 3/25 (-10*38/8360)/((2/(-1))/(-2)) -1/22 What is the value of (((-2)/(-5))/(6/5))/((-305)/(-549))? 3/5 Evaluate (-4)/((-56)/(-882)*-7). 9 (((-8)/6)/4)/((391/561)/23) -11 What is (18/(-90))/((-4)/180)? 9 14/12*(97500/455)/75 10/3 ((0/(-5))/9*1)/2 0 (8/(-20))/(35/((-175)/4)) 1/2 What is ((-265)/(-1590))/(2/(-16)*3)? -4/9 What is ((-73)/146)/(2/(-60))? 15 What is the value of (6/30)/(45/250)? 10/9 What is (-151)/1057*(-378)/(-12)? -9/2 Calculate -7*((-8)/(-12))/((-11)/(3564/(-84))). -18 What is the value of (-9)/2*10*23/345? -3 (5/(-10))/((-32)/(-2448)*17) -9/4 Calculate (3/(-2)*(-160)/504)/(18/81). 15/7 (-18)/((-96)/(-16))*2/39 -2/13 (((-56)/16)/((-126)/24))/((-4)/(-54)) 9 Evaluate ((-12)/4)/((-18)/30)*(-1)/8. -5/8 What is the value of 70/42*-42*(-2)/5? 28 Calculate ((-720)/(384/16))/1. -30 What is the value of -3*(6/(-24))/(6/(-8))*0? 0 Evaluate 702/(-156)*(-4)/(-36). -1/2 What is (117/(-18))/(13/26)? -13 Calculate (63/28)/((1131/(-26))/29). -3/2 470/94*14/(-5)*(-3)/6 7 60/1470*-21*3*-7 18 Calculate (-4)/8*600/500*45. -27 What is (-14)/(-21)*-1*(-4)/((-24)/(-99))? 11 What is (612/16)/((-576)/(-256))? 17 Calculate (-1)/((-2)/18)*924/693. 12 Calculate (((-4)/(-8))/(-1))/((-33)/(-132)). -2 Calculate -6*((-486)/(-324))/((-9)/(-8)). -8 What is the value of 3/1*18/(-18)*(-10)/(-55)? -6/11 What is the value of ((-113)/((-493584)/(-288)))/((-4)/26)? 3/7 Calculate ((18/50)/((-14)/35))/((-10)/100). 9 (((-15)/(-27))/5)/((-81)/(-12393)) 17 What is the value of 8/40*-3*(-3)/(-414)*20? -2/23 (-368)/1380*(-15)/9 4/9 What is ((-20)/(-16)*2)/((-25)/20)? -2 2*((-805)/(-4347))/((-4)/(-18)) 5/3 ((-36)/288)/(2/4*(-6)/15) 5/8 What is the value of (15/28)/(630/(-735))? -5/8 Evaluate 3/9*5*7/(735/(-84)). -4/3 What is the value of 4/(-32)*6*10/120? -1/16 Evaluate (((-143)/(-13))/11)/(-1). -1 -2*(-41)/(902/165) 15 ((-2)/8)/(-3*189/1296) 4/7 ((-90)/15)/6*-9 9 Calculate (-24)/((-62)/(-8)*(-996)/(-5146)). -16 Calculate ((-9)/(-18))/((-8)/256). -16 What is (-236)/2655*((-4)/(-20))/((-4)/30)? 2/15 (1/1*(-1)/2)/(2877/548) -2/21 28/(-14)*6/4*35/21 -5 Calculate ((-3450)/(-115))/((-5)/(-2)). 12 Calculate (-10)/5*(-3)/14*35/(-450). -1/30 Calculate ((-16)/5)/((-608)/(-1520)). -8 What is the value of (154/(-33))/((-72)/54)? 7/2 Calculate (-1)/7*189/(-18)*-14. -21 Evaluate (-2)/2*(-15)/(-15)*23. -23 Evaluate (574/168)/41*4*1. 1/3 Calculate ((-300)/(-180))/((-1)/(-3)). 5 ((-40)/96)/(22/33) -5/8 What is the value of 287/(-738)*(-24)/(-21)? -4/9 Calculate 2/(-2)*13/39*1. -1/3 Evaluate ((-3)/(-12)*-2)/((-25)/(-10))*-35. 7 Calculate 4*2*(1/(-5))/(256/(-480)). 3 Evaluate (-2)/((-18)/5)*10/((-2000)/(-60)). 1/6 Evaluate (10/500*8)/(26/195). 6/5 Evaluate (6/(-8))/(1149/4596). -3 ((112/42)/8)/((-4)/8) -2/3 (-14)/36*((-29)/(-406))/(1/8) -2/9 What is (288/1680)/((-8)/(-5))*2/(-3)? -1/14 Evaluate (-7936)/(-744)*(-3)/10. -16/5 Calculate ((-36)/288*16)/(1*(-14)/(-3)). -3/7 What is (5340/(-17800))/(1/(1/15))? -1/50 What is (-11)/99*15*(-39)/(-260)? -1/4 ((-4)/12)/(16/12)*-1 1/4 Calculate (4*6/(-132))/((-5)/10). 4/11 What is the value of -2*(3/6)/(((-45)/3)/(-90))? -6 2/(5/5)*(-209)/38 -11 (-3)/(-6)*10*(-102)/85 -6 What is the value of (((-2)/2)/((-26)/13))/((-4)/(-200))? 25 Evaluate (15/39)/(-5)*6*-13. 6 Evaluate 7*(3*(-2)/9)/(10465/(-690)). 4/13 5/105*-9*(-84)/4 9 Evaluate (-540)/324*(45/(-24))/(-5). -5/8 Evaluate (6/10)/(3/(-180)*3). -12 Calculate ((-2)/(-3*2))/(16/((-4224)/(-11))). 8 Evaluate (1/(-14))/(-1*11/(462/24)). 1/8 9*23/759*11 3 (-126)/24*15/((-855)/76) 7 (-12)/12*27/3 -9 What is the value of (4/(-2)*(240/(-620))/4)/2? 3/31 What is ((1050/(-147))/(-25))/((-2)/(-7))? 1 What is the value of (58/435)/((16/(-20))/1)? -1/6 What is the value of (-8)/(-258)*1/(-4)*1344/224? -2/43 Evaluate (10/(-18))/(-3*20/60). 5/9 What is the value of -4*((-51)/(-2)*54/(-162))/2? 17 (249/166)/((24/56)/((-44)/(-7))) 22 Evaluate 2/7*616/(-22). -8 ((-3456)/1440)/((-22)/(-5)) -6/11 Calculate 372/(-248)*(-4)/(-6). -1 (-9)/(-72)*32/12 1/3 (-35)/15*16*(-39)/182 8 ((-6)/(-18))/(7181/501) 1/43 66/110*1/3*(-40)/12 -2/3 What is the value of ((-1)/(-10)*-3)/(534/712)? -2/5 Calculate -1*(1/(-3))/(-2*(-44)/(-24)). -1/11 Calculate ((-3)/2)/(18*52/39). -1/16 Evaluate ((-56)/108)/((-27)/(-81)). -14/9 ((-3)/(-15))/((-18)/(-7920)*-8) -11 What is (12/(-56)*-52)/(13/(1365/30))? 39 Calculate (658/84)/(-47)*3/((-9)/(-2)). -1/9 What is 12/(-10)*2/2*15/(-2)? 9 What is 28/(-42)*4*9/6? -4 Evaluate ((-31)/(1767/399))/((-1*2)/6). 21 What is the value of (33/(-44))/(-1)*(-2)/15? -1/10 Calculate 2226/1855*50/3. 20 Calculate (24/(-56))/((-10)/56*24/(-3)). -3/10 What is (13/(169/26))/((-20)/210)? -21 Evaluate (173/519)/((-11)/(-165)). 5 What is the value of 18/4*2/6*(-10)/5? -3 What is the value of (9/(63/112))/(-2)? -8 -1*((-6)/25)/(-8*(-24)/640) 4/5 -10*(-30)/225*-1*(-6)/(-1) -8 12/(((-15)/18)/((325/(-40))/13)) 9 Evaluate (-61*102/(-27999))/(-5*(-5)/3). 2/75 Calculate ((-2475)/2475)/((-2)/(-28)*-1). 14 Calculate (4/(-10))/((-1955)/(-175950)). -36 What is the value of (2/2*-15)/((-48)/24)? 15/2 What is (75/70)/(12/7)*(-10)/(-25)? 1/4 Calculate (1170/325)/((-6)/20). -12 What is ((-6)/4*-4)/(32/(-192)*12)? -3 Calculate (36/66)/((-20)/(-165)). 9/2 What is 48/112*(-8)/(-6)*1/4? 1/7 10/(-70)*210/50 -3/5 What is (11/143*13)/((-7)/(-10))? 10/7 (-70)/(-200)*-2*4/21 -2/15 (21/168*-8)/24 -1/24 Calculate (2/26)/(17*(-9)/459). -3/13 What is the value of -8*12/9*63*1/48? -14 (-60)/(-66)*-5*(-20)/750*-3 -4/11 (3/(-86))/(198/(-264)) 2/43 What is (-36)/(-24)*(2/63)/(46/69)? 1/14 Evaluate (((-14)/21)/((-50)/18))/(2/(-15)). -9/5 Calculate (140/(-1550))/((-63)/45). 2/31 Calculate (-6)/54*5/((-5)/3). 1/3 ((-4)/((-2)/1))/(140/42) 3/5 What is the value of (4/(-2))/(177/((-309396)/(-152)))? -23 63*(-15)/225*(-30)/6 21 (-105)/(-15)*6/(-6) -7 What is 155/(-744)*10/25? -1/12 Evaluate (198/2244*8/6)/(-1). -2/17 What is (-177)/118*4*(-33)/18? 11 Evaluate (-1782)/(-36)*(-6)/108*8. -22 ((-3)/54*-2)/(2*(-10)/(-120)) 2/3 Evaluate (2/(-5))/(72/990)*48/12. -22 What is the value of (330/(-8))/5*(-344)/258? 11 What is ((-15)/(1080/(-32)))/((-52)/195)*-3? 5 What is 3/19*((-168)/(-336))/(6/4)? 1/19 What is 34/(-1360)*392*2/7? -14/5 Calculate (-3*2)/((-1)/1)*(-347)/(-2082). 1 Calculate (-4)/(-2)*(-10)/4*8/(-16). 5/2 Evaluate ((116/522)/(1/(-15)))/((-13)/(-39)). -10 Calculate ((-5)/15)/(61/671). -11/3 What is (143/(-66))/((-1)/6)*3/3? 13 What is the value of (-81)/99*66/(-36)? 3/2 Calculate 135/9*8/(-18)*(-156)/104. 10 Calculate (109/(-218))/((5/(-2))/5). 1 ((-7)/(-21)*144/(-40))/(6/(-20)) 4 ((-1)/(-1))/(551/(-58)) -2/19 Evaluate 85/34*(-5)/150. -1/12 What is the value of ((-99)/(-4))/((-10065)/(-7320))? 18 Calculate (98/28)/((-196)/56). -1 What is ((-1)/(-4))/((-595)/952)? -2/5 Calculate (4/12*8)/((-280)/(-126)). 6/5 Evaluate 3/(-7)*((48/18)/(-2))/4. 1/7 Calculate (88/66)/((-4)/(-198))*4/8. 33 (-36)/(-30)*5*((-80)/84)/(-2) 20/7 What is 15/(105/(-2))*6/3*-1? 4/7 Evaluate ((-4)/(-258))/((-33)/(-27)*(-213)/(-781)). 2/43 Evaluate (190/(-285))/(-24*(-5)/(-135)*-3). -1/4 Calculate (2*7/42)/(2/(-2)). -1/3 What is -4*21/(-6)*43/86? 7 What is (0*15/105)/12? 0 ((-180)/42)/((-4)/(-3)*(-33)/154) 15 (3/84*9)/(66/77) 3/8 What is the value of (-20)/6*6/(-25)*(-1300)/(-130)? 8 Calculate 7/((-1)/(4/4)). -7 What is 18*9/9*(-2)/(-3)? 12 (21/(-252)*1)/((-2)/(-56)) -7/3 What is (-176)/22*(-119)/(-68)? -14 Evaluate ((-10)/1100*24)/(((-30)/(-25))/6). -12/11 Calculate (3/9)/((-182)/(-468)*-6). -1/7 Evaluate (-30)/(-12)*((-10)/7)/(530/(-1484)). 10 Evaluate
{ "pile_set_name": "DM Mathematics" }
highest common divisor of 1082232 and 744? 24 Calculate the greatest common factor of 7207 and 839. 1 Calculate the highest common divisor of 9263 and 376833. 59 Calculate the greatest common factor of 1519832 and 4292. 116 What is the highest common factor of 63399557 and 7737? 2579 Calculate the greatest common divisor of 162705225 and 25095. 3585 Calculate the greatest common factor of 12949172 and 4505. 901 What is the greatest common divisor of 14916 and 250668? 132 Calculate the highest common factor of 2331 and 20658987. 333 Calculate the highest common factor of 47705 and 13443269. 9541 Calculate the greatest common divisor of 4316034 and 2273178. 10014 Calculate the greatest common factor of 335 and 993040835. 335 What is the highest common divisor of 5279234 and 74? 74 What is the highest common divisor of 47592 and 9144? 72 What is the highest common factor of 3962 and 53841599? 1981 What is the greatest common factor of 1408 and 440176? 176 Calculate the greatest common factor of 120658 and 1849154. 2806 What is the highest common divisor of 2 and 413487? 1 Calculate the highest common divisor of 139276368 and 7128. 2376 What is the greatest common divisor of 6697 and 9114654? 37 What is the highest common divisor of 1980 and 8898615? 495 What is the greatest common divisor of 867 and 2660160? 51 What is the greatest common divisor of 12887343 and 80325? 3213 What is the highest common factor of 390 and 3871830? 30 What is the greatest common divisor of 60613887 and 951? 951 Calculate the highest common divisor of 235 and 349296151. 47 Calculate the highest common factor of 630764775 and 45. 45 Calculate the greatest common factor of 201776 and 26. 2 What is the highest common factor of 8291265 and 615? 15 What is the highest common factor of 15344363 and 51589? 2243 Calculate the greatest common divisor of 6639850 and 6300. 350 Calculate the highest common divisor of 37 and 150454691. 37 Calculate the highest common factor of 232 and 1886595. 29 What is the highest common factor of 2596 and 2839788? 236 Calculate the greatest common factor of 903506081 and 227. 227 Calculate the highest common divisor of 156592 and 15248. 16 Calculate the highest common factor of 110 and 54388200. 10 Calculate the highest common factor of 176 and 1074292. 4 Calculate the greatest common divisor of 42 and 275669562. 42 Calculate the highest common divisor of 1396998 and 378. 18 Calculate the greatest common divisor of 7248 and 12476526. 906 What is the highest common divisor of 25682203 and 73? 73 Calculate the greatest common factor of 354576 and 128516. 356 Calculate the highest common factor of 1623797 and 4031. 29 Calculate the highest common factor of 787848 and 840. 24 What is the greatest common divisor of 225581229 and 9? 9 What is the greatest common factor of 2608450 and 13150? 50 Calculate the greatest common factor of 220 and 2244374. 22 What is the highest common factor of 1971 and 824827? 73 What is the greatest common factor of 7551 and 31182274? 839 What is the greatest common factor of 81 and 509109813? 27 What is the greatest common divisor of 29808 and 5555952? 1296 What is the highest common factor of 100932336 and 1296? 144 What is the highest common factor of 204 and 29971119? 51 Calculate the highest common factor of 54856230 and 2002. 286 Calculate the highest common factor of 266 and 678952897. 133 Calculate the highest common factor of 19905 and 955545. 15 Calculate the greatest common divisor of 113328 and 9832. 8 What is the highest common factor of 700 and 15708700? 700 Calculate the highest common factor of 2178 and 9473574. 726 What is the greatest common factor of 2770292910 and 1045? 1045 Calculate the greatest common divisor of 170040 and 3240. 120 Calculate the highest common divisor of 116019969 and 94419. 10491 What is the highest common factor of 30 and 18622290? 30 What is the greatest common divisor of 26963 and 1704610? 457 What is the highest common factor of 1971 and 5387181? 219 What is the highest common divisor of 200919264 and 1352? 104 What is the highest common factor of 37364504 and 204? 68 Calculate the highest common factor of 6435 and 331757855. 715 Calculate the highest common divisor of 9090693 and 1269. 423 Calculate the greatest common divisor of 12206 and 395046. 34 What is the greatest common factor of 1736031 and 682? 341 What is the highest common factor of 15478 and 735506821? 7739 What is the highest common factor of 1329 and 948? 3 What is the highest common factor of 5432 and 10661? 7 What is the greatest common factor of 268564755 and 885? 885 What is the highest common factor of 74611815 and 2670? 1335 Calculate the greatest common factor of 355 and 4900491. 71 Calculate the highest common factor of 2336 and 13067. 73 Calculate the greatest common divisor of 21 and 10441277. 7 What is the greatest common factor of 12589290 and 280? 70 Calculate the greatest common divisor of 4226040 and 107016. 2184 What is the highest common divisor of 144995860 and 20? 20 What is the highest common factor of 25 and 111488900? 25 What is the highest common factor of 105118 and 54736? 622 What is the highest common factor of 224674396 and 92? 92 Calculate the highest common factor of 34392 and 141600. 24 Calculate the greatest common divisor of 35826 and 23037. 21 Calculate the greatest common divisor of 41674897 and 3212. 803 What is the highest common divisor of 14098 and 2754304? 742 What is the highest common divisor of 53618 and 4295084? 2822 What is the highest common factor of 14844339 and 3572? 893 Calculate the greatest common factor of 60498669 and 21. 21 What is the greatest common factor of 8 and 56905792? 8 Calculate the greatest common divisor of 1855 and 2010449. 371 Calculate the greatest common factor of 100 and 525150. 50 Calculate the greatest common divisor of 3494123 and 319. 29 Calculate the greatest common factor of 218 and 46548014. 218 Calculate the highest common factor of 1284 and 324710332. 428 Calculate the greatest common divisor of 2095667 and 1162. 581 What is the highest common divisor of 611 and 2009449? 13 Calculate the greatest common divisor of 177871 and 28356. 17 Calculate the highest common divisor of 8498633 and 5356. 1339 What is the highest common factor of 12012 and 40604564? 4004 What is the greatest common divisor of 32 and 8115792? 16 Calculate the greatest common divisor of 219878910 and 3. 3 Calculate the highest common divisor of 83688960 and 6120. 2040 Calculate the highest common divisor of 5308625 and 105. 35 Calculate the greatest common divisor of 95402808 and 22968. 2088 Calculate the greatest common divisor of 31766 and 9929144. 4538 Calculate the highest common factor of 1306240 and 18720. 2080 Calculate the highest common factor of 7805217 and 38541. 1329 Calculate the greatest common divisor of 134680 and 172120. 520 Calculate the greatest common factor of 1104 and 301393104. 1104 What is the greatest common divisor of 471618 and 8550? 342 What is the highest common divisor of 436 and 12547862? 218 What is the highest common factor of 8650744 and 1698? 566 Calculate the greatest common divisor of 194654664 and 54. 54 Calculate the highest common factor of 2393083 and 5159. 77 Calculate the highest common divisor of 162385024 and 128. 128 Calculate the greatest common factor of 35002 and 468700. 86 Calculate the greatest common divisor of 1898 and 164950435. 949 What is the highest common divisor of 287 and 59682511? 287 Calculate the greatest common divisor of 1383808 and 82688. 2432 What is the highest common divisor of 10890225 and 3045? 435 What is the greatest common divisor of 81000 and 5069304? 648 What is the highest common factor of 30375916 and 23? 23 Calculate the greatest common divisor of 400 and 5858020. 20 What is the highest common factor of 13789436 and 51188? 764 What is the greatest common factor of 307988063 and 463? 463 What is the highest common divisor of 37688039 and 2527? 361 Calculate the greatest common divisor of 13132055 and 206140. 4685 What is the greatest common factor of 176723253 and 113526? 3339 What is the greatest common divisor of 568641491 and 33? 11 Calculate the highest common divisor of 5526993
{ "pile_set_name": "DM Mathematics" }
+ (5 - 3 - (d - -9))? 7 Let w(p) = p**3 - 2*p**2 - 2*p. Let o be w(0). Suppose 2*v - 585 + 69 = o. What is the units digit of v? 8 Let s(r) = r**2 - 25. Let f be s(5). Suppose -6*g + 221 + 895 = f. Suppose 2*z + g = 8*z. What is the units digit of z? 1 Let i(y) = 7*y**2 + 25*y + 33. Let g(m) = 19*m**2 + 75*m + 97. Let s(u) = -3*g(u) + 8*i(u). What is the units digit of s(-18)? 9 Suppose 18 = -5*m - 4*g, 0*m + 2*m - g = -2. Let t be -556*(-2 - 2/m). Suppose 2*b + t = 2*w, 0 = -w - b - 0*b + 270. What is the hundreds digit of w? 2 Suppose -13*t + 21*t - 7904 = 0. What is the tens digit of t? 8 Suppose -14*w - 10*w = -205488. Suppose -1708 + w = 23*k. What is the tens digit of k? 9 Let j = 80 + -56. Suppose -4356 = -j*w + 6*w. What is the tens digit of w? 4 Suppose 5*g = -62*c + 64*c + 43905, -2*g + 17562 = -4*c. What is the hundreds digit of g? 7 Suppose 8*u - 1 = 7. Let f be (-6)/(-4)*-94*(0 + u). Let m = f + 370. What is the units digit of m? 9 Suppose 2*q - w = -16, 0 = q + 2*w - 6*w + 22. Let k = q + 12. Suppose -k*z + 360 = -132. What is the units digit of z? 2 Suppose -3*u = 5*j - 9131, 0 = 3*u - 5*j - 2937 - 6214. What is the thousands digit of u? 3 Let x be 64 + -41 - (0 - -1). Suppose -u + 22 = -3*a - x, 3*u - 102 = -a. What is the units digit of u? 5 Suppose -9*y = 6*y - 90. Let r be -2446*2*2/(-8). Suppose -r = -y*x - 407. What is the tens digit of x? 3 Suppose 1086 = 7*d - 524. Suppose 3*l - 5*i + d = 0, l - 3*i = 6*l + 338. Let c = l + 186. What is the hundreds digit of c? 1 Suppose -136098 = 28*o - 0*o - 588270. What is the ten thousands digit of o? 1 Let k = -17007 + 46679. What is the tens digit of k? 7 Let w = -187 + 203. Suppose 9*n - 14*n = 0. Suppose -h - 2*h + 116 = o, -4*h + w = n. What is the units digit of o? 4 Let p(z) = -289*z - 595. What is the thousands digit of p(-36)? 9 Let y be (63/(-28))/((-3)/8). Suppose h - y*h - 230 = 0. Let n = 0 - h. What is the units digit of n? 6 Suppose -4*c = 5*t - 4566, -3*t + 8*t = c + 4546. Suppose 5*l = 1010 + t. What is the hundreds digit of l? 3 Suppose 4*u = -3*g - 1348, 0 = 4*u - 4*g - 85 + 1461. Let p = 584 + u. What is the hundreds digit of p? 2 Let y = 762 + -1193. What is the tens digit of (-2 - -1)/(-1) + (-16 - y)? 1 Let x(l) = l**2 - 9*l + 18. Let b be x(3). Suppose u - 1941 = -4*j + 752, b = 4*j + 5*u - 2697. What is the units digit of j? 3 Let g(o) = -246*o + 1425. What is the thousands digit of g(-169)? 2 Suppose -4*b - 135270 = -31*b. What is the tens digit of b? 1 What is the tens digit of (-6 + -13221)/(-1) - ((-8)/(-4) + -2)? 2 Let i = -579 - -511. Let v(x) = -84*x**3 + 2*x - 1. Let l be v(1). Let w = i - l. What is the tens digit of w? 1 Suppose v + 3*d = 4480, -11*d = -2*v - 15*d + 8954. What is the thousands digit of v? 4 Let u be 3047*(0 - (-8)/8). Let s = 4638 - u. What is the tens digit of s? 9 Let c(o) = -o**3 + 13*o**2 - 7*o + 1. Let r be c(11). Let j = r + 403. Suppose -5*m = 64 - j. What is the units digit of m? 1 Let t(a) = 11*a**2 + 17*a. Let y be 4/14 - (-33)/7. What is the units digit of t(y)? 0 Let o(a) = -57*a + 346. Let x be o(8). Let f = -10 - -7. What is the units digit of -1*(f + x) - -3? 6 Suppose 5359 = 2*i - 3*y, -10*y - 13409 = -5*i - 14*y. What is the units digit of i? 1 Let f = -954 - -7008. What is the units digit of f? 4 Let y(h) = 2*h**3 + 4. Let u be y(0). Suppose 6*a - u*a = 880. What is the tens digit of a? 4 Let j be (-282170)/350 - 2/(-10). Let c = j + 1159. What is the tens digit of c? 5 Suppose -15*j = -101*j + 371875 + 431881. What is the thousands digit of j? 9 Let q be 4 - 4/(-3) - 3/9. Suppose q*m - 260 - 370 = -5*a, 516 = 4*a - 2*m. What is the hundreds digit of a? 1 Let y be (-4)/18 + 266/(-18). Let n(a) = 68*a - 615. Let j be n(8). What is the units digit of j/(-2) - (y/(-2))/(-5)? 7 What is the units digit of (-4)/6 - (-2379189)/369? 7 Let v(r) = 7*r**3 + 4*r**2 - 23*r - 27. Let i be v(7). Suppose -5*p + i = 3*t, -4*p + p + 7*t + 1419 = 0. What is the units digit of p? 0 Let x = 809 + 1836. What is the hundreds digit of x? 6 Let h(d) = -15*d**2 - 8*d + 37. Let j(k) = 7*k**2 + 4*k - 18. Let m(n) = 2*h(n) + 5*j(n). What is the hundreds digit of m(-11)? 5 Let t(m) = -15*m + 934. Let j = 134 + -134. What is the hundreds digit of t(j)? 9 Let s = -14 + 8. Let f = -8 - s. What is the units digit of (-4386)/(-54) - f/(-9)? 1 Let m = -42 - -53. Suppose -9*s - m = 16. What is the units digit of (-10)/(25/5) - 75/s? 3 Suppose -5*p = -2*b - 625, 3*p - b = 512 - 138. Suppose -p*r + 117*r = -126. What is the units digit of r? 1 Suppose h - 5*c - 17 = 0, -2*c = -3*c + 1. Suppose -h*p = -19*p - 4*o - 778, 1340 = 5*p + 2*o. What is the units digit of p? 6 Let q = -2 - -17. Suppose -18 = -4*i - 5*k, 3*k + q - 2 = i. Suppose -x + i*x - 354 = 0. What is the units digit of x? 9 Suppose 38 = 3*b + 35. Let w be b/4*-2*64. Let n = 62 + w. What is the units digit of n? 0 Let o = 145 - 142. What is the tens digit of o/(27/(-6)) - (-1040)/48? 2 Suppose -54*u = -38*u + 1152. Let p be (-200)/(-6)*(-3)/2. Let n = p - u. What is the units digit of n? 2 What is the units digit of (-265)/530 - (2/4 + (-3 - 2018))? 0 Suppose 15*r = 16*r - 23. Let b = r - -339. What is the units digit of b? 2 Let q be 50/175 - (-5806)/14. Suppose 3675 = 10*g + q. What is the tens digit of g? 2 Let z(l) = -27*l + 6. Suppose 2*i + j - 12 = -0*i, 4*j + 8 = -i. Suppose -r = 3*r + i. What is the tens digit of z(r)? 6 Suppose -4*h = -2*s + 2414, 11*s - 5995 = 6*s + 2*h. What is the hundreds digit of s? 1 Let j(z) = 4*z + 50. Let t be j(-11). Suppose -y + t*y = -5. What is the units digit of ((-178)/(-4))/(y/(-2))? 9 Let k = 2074 + 173. What is the tens digit of k? 4 What is the thousands digit of 44858/4 + (60/(-210))/(12/(-21))? 1 Let g(z) = -z**3 + 82*z**2 - 61*z + 1966. What is the units digit of g(75)? 6 Suppose -10*w - 2398 = 1672. Let f = -81 - w. What is the hundreds digit of f? 3 Let o be -17119*(2 - 3) - -2. Suppose o = 36*b - 45375. What is the hundreds digit of b? 7 Let z(n) = 9*n + 123. Suppose -5*r + b + 41 + 7 = 0, -5*r + 2*b = -51. What is the hundreds digit of z(r)? 2 Suppose 360 = 2*n - 278. Suppose -44 = 5*f - n. Suppose -3*d + f = -200. What is the units digit of d? 5 What is the units digit of 7*2/(-63) + ((-18335)/(-9) - -3)? 0 Suppose -296*x + 143*x + 28782 = -150*x. What is the thousands digit of x? 9 Let j(f) = 43 - 3*f**2 - 93 + 0*f - 110*f**3 - 7*f + 46. What is the units digit of j(-2)? 8 Let w = 3021 + -783. What is the hundreds digit of w? 2 Let f(m) = 132*m - 228. What is the thousands digit of f(35)? 4 Suppose -93*b + 42*b + 4300288 = 97*b. What is the thousands digit of b? 9 Suppose 0*l + 3356069 = 237*l - 4169392. What is the hundreds digit of l? 7 Suppose -315 = 281*z - 274*z. What is the tens digit of z/30 + (205/2 - -2)? 0 Suppose -107*x + 46*x + 7772661 = 56*x. What is the thousands digit of x? 6 Let r(v) = v**2 - 43*v - 65. Let s be r(44). What is the units digit of ((-18020)/119)/(2/s)? 0 Let b(a) = -1014*a - 7966. What is the hundreds digit of b(-25)? 3 Suppose -7*u = -5*u. Suppose 2*a + a = 4*t, u = 5*t. What is the tens digit of 5 + 49 - (a + 4)? 5 Let w(p) = 2*p**2 + 19184*p - 1 - 19184*p + 139*p**3. What is the hundreds digit of w(1)? 1 Suppose -58075 = -21*p - 2*p. What is the tens digit of p? 2 Suppose 0 = -270*l + 275*l - 67235. What is the hundreds digit of l? 4 What is the thousands digit of ((-18072)/12 - 6)*1/3*-2? 1 Suppose 2 + 306 = -22*q. Let z(s) = -s**3 - 9*s**2 + 33*s + 24. What is the tens digit of z(q)? 4 Suppose -3*k + 0*k - 78 = 0. Let p = 5 + k. What is the units digit of (p/(-12) + -1)*(5 + 27)? 4 Let g be ((-639)/(-6))/((-18)/(-12)). Let m(y) = -12*y**2 - 6*y - 5. Let o be m(-2). Let n = o + g. What is the units digit of n? 0 Let y(d) = -d**3 - d**2 + 4*d + 172. Let v be y(0). Let h = 430 + v. What is the tens digit of h? 0 Suppose 11 = r + 11. Suppose -6 - 4 = 2*t, r = -4*d - 4*t - 376. Let m = 68 - d. What is the units digit of m? 7 Suppose -39*n + 180446 = -35846 - 138881. What is the hundreds digit of n? 1 Let u be (-360 + 0)*(-36)/(-90). Let r = u + 1115. What is the hundreds digit of r? 9 Suppose -36*o = -52*o + 9472. Let l = o + 117. What is the hundreds digit of l? 7 Let n(l) = -l**3 + 45*l**2 - 78*l - 1
{ "pile_set_name": "DM Mathematics" }
-8*sqrt(17) + 52 Simplify 2*((-4*sqrt(180))/sqrt(9))**2. 640 Simplify (-4 + sqrt(7) + -1)**2 - (sqrt(7) + -1 + 2). -11*sqrt(7) + 31 Simplify (-1*(sqrt(104) - 2*sqrt(104)))/(1*sqrt(200)). sqrt(13)/5 Simplify 3*(2 + (sqrt(144)/sqrt(12) - sqrt(3))**2). 15 Simplify ((sqrt(3600) - (1*sqrt(3600) - sqrt(3600))) + sqrt(25))/(sqrt(20)*-6). -13*sqrt(5)/12 Simplify (sqrt(32) + 2)*6 + 0. 12 + 24*sqrt(2) Simplify (sqrt(833)*2 + 0)**2. 3332 Simplify -6*(-2*sqrt(243))**2. -5832 Simplify (4 + sqrt(5) + -1 + sqrt(5) + sqrt(5))*1 + -3. 3*sqrt(5) Simplify sqrt(4)/sqrt(2)*-2 + sqrt(242) + 1. 1 + 9*sqrt(2) Simplify ((-2*sqrt(170) + sqrt(170))*1)/(sqrt(360)*-2 - sqrt(360)). sqrt(17)/18 Simplify sqrt(15)/sqrt(5)*-6 - 4*sqrt(21)/sqrt(7). -10*sqrt(3) Simplify sqrt(1872)*-2 + (sqrt(104)*-3)/sqrt(8). -27*sqrt(13) Simplify 5*sqrt(48)/sqrt(6). 10*sqrt(2) Simplify ((-4*2*sqrt(104))/(-5*sqrt(128) - sqrt(8)))**2. 832/441 Simplify (sqrt(12) + sqrt(588)*-2)**2 + (sqrt(72)/(sqrt(6)*1) - sqrt(12)). 2028 Simplify 2 + sqrt(13) + (sqrt(104)*-1)/sqrt(8) + -4 + sqrt(65)/sqrt(5). -2 + sqrt(13) Simplify (sqrt(3)*-2 + 1)*-5. -5 + 10*sqrt(3) Simplify ((sqrt(468) + 0)**2 + -5)*6*-5. -13890 Simplify (1 + (sqrt(192) + 0 - sqrt(192)))**2 + -4. -3 Simplify -1*(4 + sqrt(1539) + 0). -9*sqrt(19) - 4 Simplify 2 + 5 + sqrt(10)/sqrt(2) + -2. sqrt(5) + 5 Simplify 1*((0 + sqrt(75))*-6 + sqrt(75))**2. 1875 Simplify -4 + sqrt(3) + 4 + sqrt(432)*-6. -71*sqrt(3) Simplify ((sqrt(128)*-2 - sqrt(128))*-3)**2*1*-5. -51840 Simplify (sqrt(684) + -2 + sqrt(684)*-3)*1. -12*sqrt(19) - 2 Simplify 0 + sqrt(17) + (sqrt(170) + (sqrt(170) - (sqrt(170) - -2*sqrt(170))))/sqrt(10) + sqrt(17)*2 + -1 + 4. 3 + 2*sqrt(17) Simplify ((sqrt(165)/sqrt(176))/(sqrt(288)/sqrt(6) - sqrt(3)))**2. 5/144 Simplify (sqrt(88)/sqrt(275))/(sqrt(4) + sqrt(4)*-2*-2). sqrt(2)/25 Simplify sqrt(405) + 1 + sqrt(405) + -1 + sqrt(405) + (sqrt(405) + 2*sqrt(405)*-5)**2. 27*sqrt(5) + 32805 Simplify -6*(sqrt(11) + 0)**2 - (sqrt(1331)*-1)**2. -1397 Simplify (sqrt(170)/(sqrt(1440)*-3))**2 + -5. -6463/1296 Simplify -4*(sqrt(3) + sqrt(30)/sqrt(160)). -5*sqrt(3) Simplify (((sqrt(102) - 2*sqrt(102))*1)/(sqrt(6) + sqrt(54)/sqrt(144) + sqrt(6)))**2. 272/81 Simplify 2*sqrt(13)*2 + 0. 4*sqrt(13) Simplify (sqrt(24)/sqrt(2)*4)/((sqrt(960) + sqrt(60))/sqrt(10)) + 2. 4*sqrt(2)/5 + 2 Simplify 0 + sqrt(80) + ((sqrt(60)/sqrt(3) + sqrt(20))/sqrt(4))**2. 4*sqrt(5) + 20 Simplify (0 + sqrt(304))*-4. -16*sqrt(19) Simplify 1*(sqrt(228)/sqrt(3))**2 + 5. 81 Simplify (sqrt(891)*-3 - sqrt(11)) + sqrt(297)/sqrt(3). -25*sqrt(11) Simplify (-1*(-5*sqrt(228) - sqrt(228)))/sqrt(12). 6*sqrt(19) Simplify (sqrt(275) + 0 + sqrt(275) + -4)**2. -80*sqrt(11) + 1116 Simplify 2 + 5 + sqrt(2448) + sqrt(2448) + 1 + 2*(0 + sqrt(2448)). 8 + 48*sqrt(17) Simplify (sqrt(8)*-1)**2 - sqrt(32)/sqrt(4). -2*sqrt(2) + 8 Simplify ((-6*sqrt(88)/sqrt(2) - sqrt(44))/sqrt(4))**2 + 1. 540 Simplify ((1 + sqrt(19) + 3)**2 + (sqrt(19) - 4*(1 + sqrt(19))))*-1. -31 - 5*sqrt(19) Simplify 2*sqrt(153)*-1. -6*sqrt(17) Simplify (sqrt(1331) + (sqrt(1331) + sqrt(1331)*2 + sqrt(1331) + sqrt(1331))*-3)**2 + sqrt(1331)*-2*-2 + sqrt(1331) + 1. 55*sqrt(11) + 260877 Simplify (-5 + (-6*sqrt(1872) - sqrt(13)) + sqrt(13) + 5)**2. 67392 Simplify (((sqrt(33)/sqrt(3) - sqrt(11)) + -5 - sqrt(88)/(sqrt(8) - sqrt(128))) + -1)**2. -4*sqrt(11) + 335/9 Simplify sqrt(40)/(-5*(sqrt(8)*1 - sqrt(8) - sqrt(8))). sqrt(5)/5 Simplify ((1*sqrt(448))/(sqrt(8)/sqrt(2)*4))**2. 7 Simplify sqrt(28)/(sqrt(12)/sqrt(3)) + (sqrt(7) - (4 + sqrt(28)/sqrt(4))) + (-2*sqrt(77)*6)/sqrt(11). -11*sqrt(7) - 4 Simplify (sqrt(224)/sqrt(4))/sqrt(8)*1 - (sqrt(252)*-2 - sqrt(28))/sqrt(4). 8*sqrt(7) Simplify (sqrt(170)*-2)/sqrt(10) - ((sqrt(85)*-5)/sqrt(5))**2. -425 - 2*sqrt(17) Simplify (sqrt(19) - sqrt(171))**2*6 + (1 + sqrt(19))*2. 2*sqrt(19) + 458 Simplify (sqrt(99)/(sqrt(225)*-5))**2. 11/625 Simplify -5*(sqrt(68)/sqrt(4) + 4)*3. -15*sqrt(17) - 60 Simplify sqrt(88)/((sqrt(512) + 1*sqrt(512) - sqrt(512)) + sqrt(512) + sqrt(512) + sqrt(8) + sqrt(8)). sqrt(11)/26 Simplify (sqrt(220)/sqrt(4))/sqrt(11) + sqrt(5) + (-1*(sqrt(5)*2 + sqrt(5)) + sqrt(5))**2 + (-2 + sqrt(500)*1 - sqrt(500)). 2*sqrt(5) + 18 Simplify sqrt(24)/(6*-1*sqrt(8) - sqrt(8)). -sqrt(3)/7 Simplify ((sqrt(1134) - sqrt(1134)*1) + sqrt(1134))/((-1*sqrt(22) - sqrt(22))/sqrt(11)). -9*sqrt(7)/2 Simplify (sqrt(684)/sqrt(432))/(sqrt(192)*-4 + sqrt(3)). -sqrt(19)/186 Simplify sqrt(110)/((sqrt(10) + sqrt(50)/sqrt(5)*1 - sqrt(10)) + sqrt(10)). sqrt(11)/2 Simplify 3 + (0 + sqrt(15)/sqrt(5) - (1*sqrt(3) + -2 + sqrt(3))**2). -13 + 9*sqrt(3) Simplify 3*(sqrt(3025)*1 + sqrt(25))/sqrt(5). 36*sqrt(5) Simplify ((sqrt(50) - sqrt(50)*-1)*1 - sqrt(50))/((sqrt(10) - sqrt(40)/sqrt(16)) + sqrt(10) + sqrt(10)). 2*sqrt(5)/5 Simplify (4*(-4 + -1 + sqrt(75)))**2. -800*sqrt(3) + 1600 Simplify (sqrt(700) + (-1 + sqrt(700))*-2 + (-1*(sqrt(700) + (1*sqrt(700) - sqrt(700))) - sqrt(700)))**2. -120*sqrt(7) + 6304 Simplify 2 + -1 + (4*(sqrt(700) + (sqrt(700) - (sqrt(700) + (sqrt(700) - (sqrt(700) + 0))))))**2. 11201 Simplify 3 + (sqrt(13) + sqrt(26)/sqrt(2) + 4)**2 + (-3*sqrt(91))/sqrt(7). 13*sqrt(13) + 71 Simplify -2*(sqrt(11) + 1 + sqrt(11))**2 + -4. -94 - 8*sqrt(11) Simplify 4 + 6*(sqrt(19) - (-1 + sqrt(19))**2)*3. -356 + 54*sqrt(19) Simplify (sqrt(8) + -5 + -4)*2. -18 + 4*sqrt(2) Simplify (-4 + sqrt(700) + 1 + 0 + sqrt(700))**2. -120*sqrt(7) + 2809 Simplify (-4 + sqrt(51)/sqrt(3))*-3. -3*sqrt(17) + 12 Simplify -4*sqrt(171) - sqrt(1216)*-1. -4*sqrt(19) Simplify (sqrt(68)*1*-4)/sqrt(4). -4*sqrt(17) Simplify 1 + ((sqrt(190)/(sqrt(30)/sqrt(6)) - sqrt(38))/sqrt(2))**2. 1 Simplify (2*sqrt(176))**2 + 2. 706 Simplify (-5 + (sqrt(55)/(sqrt(5)*-2) - -3*2*sqrt(11)))**2. -55*sqrt(11) + 1431/4 Simplify 5*((sqrt(1216) + -1)*4)**2. -1280*sqrt(19) + 97360 Simplify 2*4*1*sqrt(17) + -1. -1 + 8*sqrt(17) Simplify (-2 + (sqrt(1100) - sqrt(1100)*-4) + 2)**2. 27500 Simplify 3*((sqrt(343) + -3*(-1 + sqrt(343)))**2 + 2). -252*sqrt(7) + 4149 Simplify (sqrt(468) - (sqrt(468) + 0))*-4*5*4. 0 Simplify 5 + -2*sqrt(2448) - (sqrt(2448) + (5 + (sqrt(2448) + -1)**2 + sqrt(2448) - sqrt(2448))). -2449 - 12*sqrt(17) Simplify (-5*-2*sqrt(7)*2*-3)**2. 25200 Simplify ((-3*sqrt(34)*-2)/sqrt(2))**2. 612 Simplify (sqrt(264)/(-1*sqrt(12)))/sqrt(2). -sqrt(11) Simplify (1 + (-1 + sqrt(245))**2)*-5. -1235 + 70*sqrt(5) Simplify 2*(sqrt(180) - sqrt(180)*4)*6. -216*sqrt(5) Simplify ((sqrt(6)/sqrt(108) + 5)*3)**2. 15*sqrt(2) + 451/2 Simplify sqrt(55)/(2*sqrt(125)). sqrt(11)/10 Simplify 6*(6*sqrt(153)*2)/sqrt(9). 72*sqrt(17) Simplify (sqrt(10)*-2)/sqrt(5) + -4 + (sqrt(2) + -2)**2. -6*sqrt(2) + 2 Simplify 6*(-5 + (sqrt(2736) + 0)**2). 16386 Simplify (sqrt(102)/sqrt(6)*-1 - (sqrt(1700) - ((2 + sqrt(1700))**2 + sqrt(1700))))*3. 117*sqrt(17) + 5112 Simplify -3*(sqrt(931) + -1) - sqrt(931). -28*sqrt(19) + 3 Simplify 0 + (sqrt(19)*4*-2)**2. 1216 Simplify (-1 + sqrt(28)/sqrt(4))*5. -5 + 5*sqrt(7) Simplify ((sqrt(170) - (sqrt(170) + (sqrt(170)*-2 - sqrt(170))))*-3 - sqrt(170))/(3*sqrt(490)). -10*sqrt(17)/21 Simplify ((-5 + (sqrt(3) - sqrt(75)) - sqrt(3)) + -4)**2. 90*sqrt(3) + 156 Simplify (sqrt(170)*-2*-2 + sqrt(170))/sqrt(10). 5*sqrt(17) Simplify sqrt(12)/sqrt(54) + ((sqrt(56)/sqrt(7) - sqrt(8))/sqrt(4))**2. sqrt(2)/3 Simplify ((sqrt(300) + 1)*6*-3*-3)**2. 58320*sqrt(3) + 877716 Simplify ((sqrt(208)*-1 - sqrt(208))*-3)**2 + sqrt(208). 4*sqrt(13) + 7488 Simplify sqrt(99)/(sqrt(81) + sqrt(9) - sqrt(9)) + -5. -5 + sqrt(11)/3 Simplify ((sqrt(2448) + -3)*6 + 1)**2. -2448*sqrt(17) + 88417 Simplify (sqrt(120)/(sqrt(8)/sqrt(4)))/sqrt(12). sqrt(5) Simplify ((sqrt(36) - (sqrt(144)*1)/sqrt(4)) + sqrt(36) - sqrt(36))/((1*sqrt(84) + sqrt(84) - sqrt(84))/sqrt(7)). 0 Simplify sqrt(684) + -1 + -2. -3 + 6*sqrt(19) Simplify (-2*sqrt(125)*-5)**2 + ((1 + sqrt(125))*3 - sqrt(125)) + 4. 10*sqrt(5) + 12507 Simplify 1*1*sqrt(425) - (1*sqrt(1088) + 3 + sqrt(17)*2). -5*sqrt(17) - 3 Simplify 0 + sqrt(1782)/sqrt(2). 9*sqrt(11) Simplify sqrt(119)/((1*sqrt(84) - sqrt(84) - sqrt(84))/sqrt(12))*-6. 6*sqrt(17) Simplify (sqrt(13) - (sqrt(26)/(1*sqrt(2)))**2) + sqrt(13) + (sqrt(832)*-1)**2. 2*sqrt(13) + 819 Simplify sqrt(40)/(sqrt(8) - (sqrt(32)/sqrt(16) - sqrt(8))) + -5. -5 + 2*sqrt(5)/3 Simplify -5 + sqrt(5) + ((sqrt(120)/
{ "pile_set_name": "DM Mathematics" }
h). 13 Let p be (36/15)/4 - 56/35. Let i(n) = 23*n**2 - 12*n**2 - 1 + 8*n**2. Calculate i(p). 18 Let y(f) = -4*f + 62. Let a(o) = 2*o - 60. Let m(p) = -3*a(p) - 2*y(p). Calculate m(0). 56 Let n(k) be the second derivative of 7*k + 1 + 1/6*k**3 + 2*k**2. Calculate n(-4). 0 Let a(s) be the first derivative of -s**4/4 - 10*s**3/3 - s**2 - 17*s - 17860. Suppose 2*d + 3*d - k + 51 = 0, -4*k = 4*d + 36. What is a(d)? 3 Let g(w) be the first derivative of -w**4/4 - 4*w**3/3 + 10*w**2 + 8*w + 5165. Calculate g(-6). -40 Let w(t) = -6*t + 7*t + 27 + 4*t - 17*t. Determine w(8). -69 Let s(a) = 5*a - 26. Let d(x) = -x + 6. Let v(z) = 11*d(z) + 2*s(z). Let w(b) = 10*b. Let j be w(0). Give v(j). 14 Let s(l) be the second derivative of 2/3*l**3 + 0 + l**2 - l. Let i = -5 - -7. Calculate s(i). 10 Let o(j) = 90*j + 724. Suppose -2*m - 12*y - 235 = -123, m - 5*y = 32. Give o(m). 4 Let z(s) = 140*s - 1 - 1 + 12 - 142*s. Give z(-6). 22 Let c be (6/(-21) + 0)/(3/(-21)). Let j(b) = -b**2 + 2*b**2 + c - 3 - 7*b + 5. What is j(5)? -6 Let v(p) = 366*p - 681*p - 8 + 337*p + 9*p**2 - 10*p**2. Calculate v(16). 88 Let b(h) = -4*h**2 - 108*h - 201. Let c be b(-25). Let s(g) = -2*g**3 - g**2 + 6*g + 7. Give s(c). 2 Suppose -27*u - 9034 = -9142. Let b(h) = h**2 - 7*h + 3. Let p(m) = 3*m**2 - 22*m + 8. Let k(c) = -7*b(c) + 2*p(c). What is k(u)? -1 Let h(d) be the second derivative of d**4/12 + 2*d**3 + 11*d**2 + 7*d - 31. Give h(-8). -10 Suppose 71 = r + 3*d + 58, -4*r - d = -30. Let o(x) = -x**3 + 9*x**2 - 17*x + 15. What is o(r)? -6 Let g(d) = 34392*d + 34394*d - 68795*d + 19 - d**2. Determine g(-10). 9 Let v(n) be the first derivative of n**6/180 - n**5/24 + n**4/6 - 7*n**3 + 20. Let w(y) be the third derivative of v(y). Give w(3). 7 Let b(f) be the first derivative of 9*f + 1/2*f**2 + 1/3*f**3 - 11. What is b(0)? 9 Let g(q) = -q**2 - 34*q + 56. Let w(d) = d**2 + 35*d - 58. Let n(k) = -7*g(k) - 6*w(k). Determine n(-30). 16 Let c(i) = i**3 - 37651*i - 352*i**2 + 4 + 37660*i + 364*i**2 + i**3. Determine c(-6). -50 Let c(b) be the first derivative of -b**3/3 + 6*b**2 + 8*b - 928. Determine c(7). 43 Let q(s) = 9*s**3 + s**2 - s. Let k be (155 - 157)*((-1)/(-2) - 1). Suppose -3*j - 2*r + 1 = 0, -5*r - 7 = -3*j + k. What is q(j)? 9 Let u(j) = -j**3 - 14*j**2 + 14*j + 5. Let w = 8620 - 8635. What is u(w)? 20 Let f(h) = 4 - h**2 + 57*h - 53*h - 5. Let p = 67 - 65. Give f(p). 3 Let i(t) = -t**3 + 11*t**2 + 5*t - 10. Suppose -2*o - 67*l + 12 = -71*l, -4*o - 4*l = -60. Calculate i(o). -94 Suppose -550 = 440*h + 1210. Let o(v) = -14*v - 27. Calculate o(h). 29 Let i(d) = d**2 + 5*d. Let o be -6 + 5*(-18)/(-15). Let c = o - 6. What is i(c)? 6 Let f(k) = 304*k**2 - 2126*k - 8. Let w be f(7). Let q(g) = g**3 - 2*g**2 - 26*g + 2. Give q(w). -10 Let y(w) = -22*w - 157*w**2 - 160*w**2 - 167*w**2 + 103 - 166*w**2 + 649*w**2. Let o be y(4). Let g(m) = 2*m**3 - m**2 + m + 2. Determine g(o). -2 Let t(v) be the third derivative of v**5/12 - 13*v**4/3 - 19*v**3/6 + 119*v**2 - 1. Determine t(21). 2 Let v(r) be the third derivative of 0*r + 16*r**2 + 0 - 5/3*r**3 - 1/24*r**4 - 1/120*r**5. Let f(o) be the first derivative of v(o). Determine f(1). -2 Let g(i) = i**2 - 13*i + 12. Suppose -9*t - 5*r + 75 = -4*t, 0 = -4*t - r + 39. Give g(t). -28 Let k(x) = x**2 + 16*x + 6. Let y(q) = 50*q + 1684. Let b be y(-34). What is k(b)? 6 Let q(r) = -1 - 601*r - r**2 + 1209*r - 617*r. Give q(-9). -1 Let y(u) = 2*u + 174 - 172 - 3*u. Let m(b) = b**3 - 14*b**2 + b - 11. Let w(k) = -k**2 + 14*k - 31. Let i be w(9). Let l be m(i). Calculate y(l). -1 Let n(l) be the second derivative of -l**4/24 - l**3/6 - 33*l**2/2 - 15*l - 1. Let d(o) be the first derivative of n(o). Determine d(2). -3 Suppose -4*y = -5*t - 12, 4*t - 35*y - 24 = -36*y. Let a(j) = 2*j**2 - 12*j - 3. Give a(t). -19 Suppose 5*r + 14 = 4*h, -3*r + 2 = 4*h - 2*r. Let v be (2/(-2))/(-2 + h). Let u(j) be the second derivative of -j**3/3 - 2069*j - 2. Determine u(v). -2 Let o = -8339 + 8338. Let d(n) be the second derivative of -9*n**5/20 - n**3/3 - n**2/2 - 2*n. Determine d(o). 10 Let z be (-1)/(((-9)/12)/((-231)/22)). Let k(y) = -y**3 - 14*y**2 + 5. What is k(z)? 5 Let s(o) = 3*o + 4. Suppose -4*d + 4*x + 28 = 0, 0 = d + 3*x - 5 - 10. Let u be (-2)/(12/d)*(6 + -2). Give s(u). -14 Let f(u) = 43*u + 38. Suppose 60 = -61*i + 23 - 24. What is f(i)? -5 Let k(u) = 9*u + 10. Let i(v) = 3*v + 3. Let f(g) = 7*i(g) - 2*k(g). Suppose 0 = -a - 2*d - 12, -5*a + 2*d + 53 = 161. Let x = a + 24. Determine f(x). 13 Let t(d) = 13*d + 18. Suppose 5*y - 2*q = 41, 3*y = 8*q + 53 + 26. Determine t(y). 83 Suppose 4*j - 142*c + 18 = -144*c, j + 12 = -3*c. Let k = 1 + 1. Let y(s) = 2*s**2 - 1 - 3*s**k - 4*s - 2 + 0*s**2. What is y(j)? 0 Let k(z) = -6*z - 2. Let m = -13636 - -13639. Give k(m). -20 Let y be 2*95*(-11 - 510/(-50)). Let k = 155 + y. Let c(a) = 4*a - 4. What is c(k)? 8 Let b be 3*1 + -17 + 16. Let o(f) = 3*f**2 + 11*f - 14. Let c(s) = -s**2 - 4*s + 5. Let i(k) = 11*c(k) + 4*o(k). Determine i(b). 3 Let d(t) = -t + 20 - 11 - 4 - 4 - 8. Suppose -2 = -2*y - 20. What is d(y)? 2 Let t be 0/(-4*5/(-10)). Let j(w) be the first derivative of w**3/3 + w**2/2 - 14*w + 312. What is j(t)? -14 Let j(u) be the second derivative of -u**5/20 + 5*u**4/6 + 5*u**3/2 - 19*u**2/2 + 244*u. What is j(11)? 25 Let p(b) = 50*b + 1102. Let x be p(-22). Let f(a) = 6*a - 8. Calculate f(x). 4 Let n(z) be the third derivative of z**5/60 + 3*z**4/8 - 13*z**3/2 - 2*z**2 - 67*z. Let o be n(3). Let b(k) = 2*k**3 + 4*k**2 + 2*k + 1. What is b(o)? -23 Let r(t) = 2*t + 3. Let m = -68 - -74. Suppose -m*p - 20 = -10*p. Give r(p). 13 Suppose -47 = 15*a + 13. Let n(d) = d - 7. Let m be n(a). Let r(f) = -f**2 - 10*f + 10. What is r(m)? -1 Let p = -11758 - -11764. Let x(v) = -5*v**2 + 9*v - 9. Let t(f) = 6*f**2 - 9*f + 9. Let b(r) = -4*t(r) - 5*x(r). Give b(p). -9 Let k(x) = -5*x**2 - 78*x + 3*x**2 + 142*x - 5*x + 224. Calculate k(33). -7 Let m(w) be the third derivative of -13*w**6/60 - w**5/60 + w**4/24 + w**3/6 - 26*w**2 - 11*w. Determine m(-1). 25 Suppose -15 = -5*w + 15. Suppose 2*x + 0*x = w. Let d(i) = 3 - 6*i + 8*i - x*i - i**2. Determine d(-4). -9 Let k(b) be the first derivative of b**2/2 + 7*b - 1. Let r be 40/(-22) - (-8)/(-44). Let j(c) = -6*c**2 - 5*c + 7. Let d be j(r). Determine k(d). 0 Let p(v) = -102 + v**2 - 7*v**2 + 11*v + 3*v**2 + 4*v**2 + 22. Give p(5). 0 Let h(t) be the second derivative of t**4/12 + t**3/2 - 3*t**2/2 - 6*t. Let n be (5*3/(-18))/(31/186). What is h(n)? 7 Let a(p) = p + 5. Let n(l) = -l + 18. Let y be n(-4). Suppose 0 = -y*q - 16*q - 228. Determine a(q). -1 Let t(y) = 7*y - 52. Suppose -8*b + 9 = 3*x - 3*b, -2*x = -2*b - 22. Calculate t(x). 4 Let h(b) = 5 + 570*b + 0*b**2 + 568*b + 3*b**2 - 1142*b. Give h(3). 20 Let l(f) = 35*f - 57. Let s be l(2). Suppose -6*y + 7 = s. Let t(m) = m + 1. Let d(b) = -16*b**2 - 2*b - 1. Let j(r) = d(r) + t(r). Give j(y). -15 Suppose 20 = 3*c + c. Let d(u) = -c*u - 6 + 4*u + 3 + 6. Let r(k) = k + 17. Let a be r(-8). Give d(a). -6 Let l(c) = -2*c + 1. Let r(q) = -44*q + 16. Let h(n) = -20*l(n) + r(n). What is h(6)? -28 Let u = -352 - -331. Let g be (18/u)/6 + (-2)/(-14). Let v(s) = -s**2 - s + 3. Give v(g). 3 Let x = 52 - 46. Suppose -5*k = 4*a - 27, -4*k = -5*a - 3 + x. Let i(t) = -3*t**2 - 13*t**3 + 2*t + 13*t**3 + t**3. What is i(a)? 6 Let p = -108 - -109. Let g(t) = 9*t**2 - 2*t + 1. Let v be g(p). Suppose 9*y - 5*y = v. Let h(q) = -q**2 + 4*q + 1. Calculate h(y). 5 Let m(t) = 2*t + 38. Let c(o) = o**3 - 7*o**2 + 3*o + 15. Let d be c(4). Let q be m(d). Let l(b) = 6*b - 1. Give l(q). -25 Let h(k) = 10*k**2 - 12*k**2 + 4*k**2 - k. Suppose 52 = 5*p - 28. Suppose -p*x = -11*x - 5. Give h(x). 1 Let d(a) = -a**2 + 5*a + 73. Let p(y) = -3*y**3 - 28*y**2 + 55*y - 7. Let l be p(-11). Give d(l). -11 Suppose -2*b = -7*b + 370. Let o(u) = b*u**2 - 69*u**2 - u**3 + 0*u - 2*u. Suppose -q = -5*q + 16. Give o(q). 8 Let u(z) = 14*z + 16. Let p(r) = -9*r - 5. Let x(o) = 325*o + 182. Let k(s) = -143*p(s) - 4*x(s). Let c(j) = -5*k(j) - 4*u(j). Let f = -5 - -4. Calculate c(f). -8 Let i(q) = -q**2 + 1. Let t(m) = -m**3 + 3*m**2. Let y(g) = 3*i(g) - t(g). Suppose -51 + 9 = -7*k. Calculate y(k). 3 Suppose 14*u = 20*u - 144. Suppose b = -22 + u. Let x(c) = 6*c*
{ "pile_set_name": "DM Mathematics" }
the second smallest value? (a) p (b) -7 (c) 3 (d) 3/5 b Let r = -113.9 - -116.9. Which is the fourth smallest value? (a) 0.009 (b) -4 (c) 4 (d) r c Let o = 4546/1239 + -1/413. Let u = -31/120 - 3/40. What is the second smallest value in o, u, -2/3? u Suppose -7 = -2*q - 13. Which is the fourth smallest value? (a) 0.03 (b) q (c) -0.2 (d) -1/16 a Let h = 4.333 + -0.033. Let m = 0.333 + -0.033. Let u = m - h. Which is the second biggest value? (a) 0.6 (b) u (c) -0.5 c Let w = 6 + -2. Let d = 0.17 + -0.07. Let k = 0.5 + 1.5. What is the second biggest value in w, k, d? k Let q = 12730853821/43296 + 79011/1312. Let l = 294155 - q. Let v = 157/3 - l. What is the second biggest value in v, -11, 4? v Let f = 0.06 - -0.34. Let l = 0.01 - 0.31. Which is the second smallest value? (a) l (b) 0.2 (c) -0.2 (d) f c Let f = 28 + -3. Let y = f + -25.2. Which is the biggest value? (a) -1 (b) 4/7 (c) y (d) -2 b Let d = 312.2 + -312. Which is the smallest value? (a) 7/8 (b) 3 (c) d c Let w = 0.03 + -0.004. Let g = w + -0.526. Which is the second smallest value? (a) -0.01 (b) g (c) -0.1 (d) 1 c Let o be ((-78)/195)/(2 - (-19)/(-10)). Which is the third biggest value? (a) -1 (b) -1/11 (c) o (d) -0.2 a Let f = -4 - -8. Let o = -2.76 + 2.6. Let y = o - 2.84. Which is the smallest value? (a) 5 (b) y (c) f b Let q = 1 + -1.5. Let n(i) = 3*i**2 + 6*i + 7. Let y be n(-3). Suppose -v = 3*v + y. What is the second smallest value in -0.2, q, v? q Let k be (-56)/(-84) - 3034/168. Let m = -65/4 - k. Which is the third smallest value? (a) m (b) -2 (c) -1/8 a Let d = -5 + 95. Let o be (85/d - 1)/(1/(-4)). What is the fourth biggest value in o, 2, -0.2, 4? -0.2 Let q(m) = -8*m - 61. Let h be q(-9). What is the second smallest value in -3/5, 2, h? 2 Let v = -0.04 + 0.14. What is the second smallest value in -1/4, 7, v? v Let l = -8.99 - -9. What is the third smallest value in -3, 1/4, l? 1/4 Let n = 8 + -7.4. Let c = 1628 + -1633. What is the third smallest value in n, c, -4? n Let r = -31.6 + 27.6. What is the fourth smallest value in -2, 0, r, 8/21? 8/21 Let t = -333.2 + 333. Let h = 0 - 0. Let g = h - -1. What is the smallest value in g, t, 5? t Let n = 0.74 - -2.56. Let h = n + -1.3. Let s(g) = -g**2 + 10*g + 10. Let f be s(11). Which is the third smallest value? (a) f (b) h (c) 0.2 b Let g be 18 - 23 - (1 + -3). Let x = 0.12 - 5.12. What is the third smallest value in g, -2/7, x? -2/7 Let p be (-2)/(-3)*36/8. Which is the smallest value? (a) -0.2 (b) 33 (c) -0.5 (d) p c Suppose -5*n + 43 = -h, -5*h + n + 3*n - 278 = 0. What is the third smallest value in h, 0.4, 1? 1 Let c = -0.2 - 0.8. Let q = -30 - -29.62. Let t = q - -0.18. What is the biggest value in -1/3, c, t? t Let m = 20.83 - 21. Which is the second smallest value? (a) -5/4 (b) m (c) -0.5 (d) 0 c Let h = 46 + -46.29. Which is the fourth biggest value? (a) 0.4 (b) -3 (c) 4 (d) h b Let z = 3.34 + -3.2. Let o = z - 0.34. Which is the second biggest value? (a) -8 (b) 3 (c) o c Let a = 5 + -3. Suppose 2*o - 4*v = -2*o - 4, 2*v = -a*o - 14. Let p be (-420)/110 - -1*4. What is the second biggest value in 0.2, p, o? p Let j(h) = h**2 - 5*h - 11. Let p be j(7). Let l be -1*1/(-1) - p. Which is the second smallest value? (a) -1/10 (b) l (c) -1 c Suppose 3*p + w = -0*p - 9, 0 = -5*p + w - 7. Let k = 0.04 + 0.96. Which is the third biggest value? (a) 1/6 (b) p (c) k b Let o = -0.5 - -0.9. Let c = o - 1. Let t = c - -0.2. What is the second biggest value in 2/11, 0.2, t? 2/11 Let a be (2 + 0)/(-2)*3. Let i = -58.76 + 59. Let x = i - 0.74. What is the biggest value in a, -2, x? x Suppose -5*k - 5*p = 20, k + 12 = -2*k + 5*p. Which is the second smallest value? (a) 7 (b) k (c) 0 c Suppose 3 = -3*t - 0. Let v = -14749/11 + 1341. What is the third smallest value in 2, v, t? 2 Let v = 45/23 - 2. Suppose 0 = g - 5*h + 28, -5*g + 5*h = 43 - 23. Which is the biggest value? (a) v (b) 5 (c) g b Let u = 31/1245 + 9/83. Let i = 0.5 - 3.5. What is the third smallest value in -0.2, i, u? u Let y = 116 + -142. What is the biggest value in -3, y, -5, -0.1? -0.1 Suppose 0 = 3*q - 5*q - t + 5, -q - 5*t = -16. Let r = -1.5169 - -1.3169. Which is the third biggest value? (a) -0.1 (b) q (c) r (d) 0.5 a Let y = -904 - -900. What is the fourth smallest value in 2/7, y, 6/11, -5? 6/11 Let n = 0.3 - -0.1. Let o = 0.4021 - 2.4021. Which is the second biggest value? (a) o (b) 0 (c) n (d) -5 b Let i be (92/(-346))/(96/(-56)). Let d = -2/173 - i. Let x = 0.05 + -2.05. What is the third smallest value in x, d, 1/2? 1/2 Let f = -0.05 + -4.25. Let i = -4 - f. Which is the second biggest value? (a) 1 (b) i (c) 0.1 b Let o = -0.29 - 0.71. Let t(k) = -k**2 - 9*k + 3. Let y be t(-8). Which is the second smallest value? (a) o (b) 2/7 (c) y b Let y = -692.6 - -760. Let u = y + -78. Let o = 0.4 - u. Which is the smallest value? (a) o (b) -0.3 (c) -0.2 b Let g = -0.324 + -3.676. Let f = -678/5 - -136. Which is the second biggest value? (a) g (b) 2 (c) f (d) 0.01 c Suppose 5*u = 13 - 3. Let k = u + -5. Which is the second biggest value? (a) -4 (b) -2 (c) k c Let z = -118.9 - -119. What is the biggest value in 0.2, -11, 4/7, z? 4/7 Let s = 7.95 - 7.75. What is the biggest value in -2, -5/6, -2/29, s? s Let j(g) = -g**3 - 5*g**2 - 2*g - 4. Let x be j(-5). Suppose 1 = -x*u + 25. What is the fourth smallest value in 0, -2/3, -2/13, u? u Suppose 9 - 63 = 18*y. What is the third biggest value in -5, y, 1.44? -5 Let i = 6.0451 + -0.0451. What is the second smallest value in 4, i, -35? 4 Let x = -153.5 + 154. Let w be (-8)/(-20)*(6 + -1). Let u be 5/3*(w - 1). What is the biggest value in x, u, 2? 2 Let i(q) = q**2 - 21*q - 13. Let f be i(13). Let c = f + 233/2. What is the smallest value in 0, -1/3, c? c Let n be 5/(-15) + (-82)/42 - -2. Which is the third biggest value? (a) 0 (b) -2 (c) 2 (d) n d Suppose 5*n - 2 = -q, 0 = 3*n - 6*n + 2*q - 4. Suppose 0 = -n*p - 2*p - 10. Which is the biggest value? (a) p (b) -3 (c) 3 c Let t = -14 - -11. Which is the third smallest value? (a) -0.3 (b) -0.43 (c) t a Suppose 0 = -2*w + 2*s + 94, 65*w + 5*s + 147 = 68*w. Which is the smallest value? (a) 5 (b) -2 (c) w (d) -2/15 b Let y be (-6)/(-5)*1*(-140)/(-126). Which is the smallest value? (a) y (b) -226 (c) -2 b Let w = 2.6 + -10.6. Let j = w - -2. Let p = 6.3 + j. Which is the second biggest value? (a) p (b) 0.4 (c) -1/4 a Let n be (-1 - (-536)/(-4)) + -1. Let s = n + 1226/9. Let d = 0.001 + 0.499. What is the smallest value in d, s, -3? -3 Let g = 41 + -41.2. Let o = 11 + -16. Let d = -5.4 - o. Which is the biggest value? (a) g (b) d (c) 0.1 c Let m = 111 - 111.6. What is the smallest value in -2/3, 1/8, m, -4? -4 Let z = 11066 + -11059. Suppose 2*k + 2 = 4. Let u be (2 - k)*(-6)/2. What is the third biggest value in 0.4, z, u? u Let g(z) = -z - 1. Let w(h) = 2*h + 15. Let y(n) = -3*g(n) - w(n). Let p be y(8). What is the third biggest value in 0.3, p, -5? -5 Let w = -970 - -6792/7. Which is the second smallest value? (a) w (b) -25.7 (c) -0.2 c Let l be (0/(-12))/(3 - (1 - -3)). Which is the fourth biggest value? (a) -1/8 (b) 2 (c) -0.2 (d) l c Suppose -4*v - 3 + 77 = -c, -3*v = -5*c - 64. Let h = 12 - v. Let j be 3/(-9) - 4/h. What is the smallest value in 0.1, 0, j? 0 Let q = 9 + -9.8. Let u = 0 - q. Let m = u - -4.2. What is the third biggest value in 2/9, m, 0.1? 0.1 Suppose -12*h + 638 = 614. Which is the fourth smallest value? (a) h (b) -3/2 (c) 2/3 (d) -4 a Let u = -0.8 + -0.2. Let l = -26.2 + 26. Let p = l + 0. What is the third biggest value in 4, p, u? u Let a = 22.42 - -0.98. Let b = 4.4 - a. Let j = 22 + b. What is the second smallest value in 2/11, 5, j? j Let d = 42 - 44. What is the biggest value in d, 3, -9, -0.02? 3 Let z(g) = -g**2 - 3*g - 2. Let x be z(-3). Suppose d - 6 = 1. Suppose d = 3*r - 2. Which is the second biggest value? (a) x (b) -1 (c) r b Let i = 290 + -293. Let q = 0.2 + 0.3. Let w = 3.5 - q. Which is the second biggest value? (a) w (b) -4 (c) i c Let c = 6 - 8. Suppose 1 = -9*i + 46. What is the biggest value in i, 0.4, c, 2? i Suppose -3*k + 4*x + 118 = -128, -4*x + 66 = k. Let r = k - 313/4. Which is the second sma
{ "pile_set_name": "DM Mathematics" }
s n + h*u + t*u**2 and give t. -77 Express (53*a**4 - 52*a**4 + 10*a**3 + a + 2*a**3)*(4 - 4 + 3)*(-2 - 1 + 2) as k + l*a**2 + x*a**4 + d*a**3 + h*a and give x. -3 Express -3*l**3 + 1 + 4*l**3 - 2*l**3 - l**3 - 20*l**2 in the form p*l**3 + s*l + z + q*l**2 and give z. 1 Express -1 + 3*z**2 - 2*z**4 + z**4 - z**2 + 2*z + 2*z**3 as c + v*z**2 + o*z**4 + m*z + f*z**3 and give c. -1 Express -14*g**3 - 12 + 23 + 5*g**3 - 9 in the form b*g + a*g**3 + z + h*g**2 and give a. -9 Express 85 - 19*t**4 - 2*t**2 - 8*t**4 + 2*t - 85 in the form m*t + w + s*t**4 + u*t**3 + p*t**2 and give m. 2 Express (-3*l + 3*l + 2*l**3)*(-1 + 2*l + 1) + 0*l**4 + 2*l**3 - 2*l + 0*l**3 + l**4 in the form s*l + o*l**4 + a*l**3 + c*l**2 + m and give a. 2 Express ((0 + 3 - 2)*(9 - 31*s - 9) - s + s + s)*(2*s**2 + 3 - 3) in the form w*s**2 + k*s**3 + u + b*s and give k. -60 Express (-14 + 39 + 15)*(4 + 2*t - 4)*(4 + 2 - 3) in the form a*t + o and give a. 240 Rearrange 3 - 3 + c - 2*c + 0 + 0 + 0*c + c - 2*c + (c - 4*c + 2*c)*(0 - 1 - 1) + c - 2*c + 6*c to r*c + j and give r. 5 Express -10*i - 3*i**3 + 3*i**3 - i**3 as o*i + t*i**3 + j + q*i**2 and give j. 0 Rearrange (-o + 6*o - 3*o)*(o + o - 5*o) + o**2 - 5*o**2 + 2*o**2 + 14*o**2 + 15*o**2 - 28*o**2 + o**2 + o**2 - o**2 to y*o**2 + p*o + q and give y. -6 Express -4*k + 8*k + 10*k in the form h*k + m and give m. 0 Rearrange 5*m + 88*m + 8*m to f + c*m and give c. 101 Rearrange (23*b - 41*b - 101*b + (-2*b + 3*b + b)*(5 - 1 - 2) - b + 1 - 1)*(-1 + 1 + b**2) to i*b + t*b**2 + a + d*b**3 and give t. 0 Express 8*f - f - 4*f + 2*f in the form z + q*f and give q. 5 Express -32*k**3 + 11*k**3 - 1 + 18*k**3 - k as u + a*k**2 + f*k + z*k**3 and give u. -1 Express -38*l + 38*l - 12*l**2 as f*l**2 + b + n*l and give f. -12 Rearrange -39 + 39 + 5*w**2 + (0 + 0 - 2)*(-w + 2*w**2 + w) + 8*w**2 - w + w to the form j*w**2 + t + z*w and give j. 9 Rearrange -i + 4 - 2*i - 5 + 2*i + 1 - 1 + (3 - 3 - 2)*(3*i - 7*i + 8*i) to n + g*i and give g. -9 Rearrange 7*c**3 - 22*c**3 + 12*c**3 - 10 + (2 - 2 - 2*c**2)*(0*c + 2*c - c) to the form i*c**3 + u + d*c + x*c**2 and give i. -5 Rearrange 97*s - 102*s - 44*s + (2*s + 1 - 1)*(-4 + 3 + 0) to v + h*s and give h. -51 Rearrange 10*y - 8*y - 19*y - 2*y**3 to h*y**3 + d + k*y + z*y**2 and give h. -2 Rearrange (8 + 6*u - 8)*(-3*u**2 + 2*u**2 + 2*u**2) + 79*u**2 + 8*u**3 - 79*u**2 to the form q + b*u**2 + d*u + n*u**3 and give n. 14 Rearrange (2*p**2 + 3*p**2 - 4*p**2)*(5*p + 0*p - 3*p)*(-5 + 0 + 3) to the form o*p**2 + j + c*p**3 + t*p and give c. -4 Rearrange (2 + 2 - 2)*(-s**4 + 4 - 12*s - 4) + (2 + 2*s - 2)*(2*s**2 - 2*s**2 + 2*s**3) to the form u + d*s + c*s**2 + p*s**3 + y*s**4 and give d. -24 Express 5*o + 0*o - 2*o - o as v*o + r and give v. 2 Express (4 + 0*m + 2*m - 9)*(47*m + 3*m**3 - 47*m) in the form c*m**4 + o + b*m**3 + u*m + h*m**2 and give c. 6 Express (q + 0 + 0)*(9 - 3*q - 9)*(2*q - 2*q + 2*q + 1) in the form u*q**3 + z*q**2 + b + w*q and give u. -6 Rearrange -n**2 + 7*n**3 - 9*n**3 + 5*n**3 to a*n**3 + t + b*n**2 + p*n and give a. 3 Express (7 + 225*y + 12 - 224*y)*(5 - 3 - 1) in the form h*y + j and give j. 19 Rearrange 8*s + 3 - 12 + 5 + 2 to t*s + y and give y. -2 Rearrange -y**3 - 2*y**4 - 2*y + y**2 + 0 - y**4 + 2 - 2*y**2 to h*y**2 + k + m*y**4 + a*y + u*y**3 and give k. 2 Rearrange 10*n + 286*n**3 - n**2 + 0*n**2 - 288*n**3 - 2 to l + p*n**3 + f*n**2 + o*n and give f. -1 Express (-110*f**2 - 104*f**2 + 215*f**2)*(3*f + 0*f - 4*f) as m*f**2 + x*f + i + p*f**3 and give p. -1 Rearrange 3*z**2 - 3*z**2 + 0*z**2 + 7*z + 3*z**2 to v + x*z + k*z**2 and give k. 3 Rearrange (-2*w + 2*w + 3*w**2)*(0*w + 0*w - w**2)*(4 - 3 + 1) to h*w**3 + o*w**4 + b + r*w + y*w**2 and give o. -6 Express -10*r**3 + 24*r**3 - 11*r**3 + 4 - 7*r**3 - 2*r + 2*r**2 in the form h*r + z + j*r**2 + x*r**3 and give j. 2 Rearrange -c + 3*c**2 - 5*c**2 - 5 + 0 - 3*c**3 - 1 to d*c**2 + f + l*c + b*c**3 and give f. -6 Rearrange (-2*m**2 + m**2 - 2*m**2)*(m + m - 3*m) + (-m**3 - 3*m**3 + 5*m**3)*(3 - 2 + 1) to p*m**3 + n*m + a*m**2 + h and give p. 5 Rearrange (1 - 1 + 2)*(-2*k + 3*k + 5*k) + (4*k - 3*k + 0*k)*(4 - 2 - 3) to h + g*k and give g. 11 Rearrange -9 - 2*w**3 + 5*w + w + 7 to the form t*w**3 + q*w + i*w**2 + x and give x. -2 Express -14 + 3*t**2 - 16 + 27 in the form h*t + d*t**2 + q and give q. -3 Rearrange (-2 - 2*a + 3 + 1)*(6 - 5 + 2)*(7*a - 11*a - a) to u + m*a + t*a**2 and give t. 30 Express (c - c + 2*c)*(-3*c - 4 + 2*c - 1) + 0*c**2 - 7*c**2 + 3*c**2 as b*c**2 + o + t*c and give b. -6 Rearrange 3*d + 2 - 107*d**2 + 98*d**2 - d**4 + 2*d**4 to the form k*d**3 + b + l*d**2 + p*d**4 + n*d and give b. 2 Rearrange l + 13*l**2 - 13*l**2 + 2 + 2*l**3 to u*l + d*l**2 + y + o*l**3 and give y. 2 Rearrange 17*i**2 - 5*i**2 + 0 + 1 - 2*i**2 to j*i**2 + l + p*i and give j. 10 Rearrange 3*j + 6*j + 0*j + (3 + 2 - 3)*(j - 3*j + 0*j) + 1 - 1 - j + (2 + 2 - 2)*(-j - 2*j + 2*j) to o*j + m and give o. 2 Rearrange -1 + y**2 + y + 7*y**4 - 3*y**4 - y**2 - y**2 to the form l*y + f + n*y**4 + p*y**3 + k*y**2 and give n. 4 Rearrange 2 + 3 - 4 + j**3 + j - 3*j**2 + 2*j**2 - 2*j**4 to y*j + l*j**4 + d + o*j**3 + p*j**2 and give l. -2 Rearrange 8*j**4 - 8*j**3 - 2 + 0 - 7*j**3 - 10*j**4 - j**2 to n + a*j + x*j**4 + r*j**3 + o*j**2 and give n. -2 Express 2372 - 51*s - 2372 as z + i*s and give i. -51 Express -273*u + 273*u - 2*u**2 - 13*u**3 in the form s + a*u**3 + f*u + r*u**2 and give r. -2 Express (4*c + c**2 - 4*c)*(-3 + 6 - 4) + (c - 6*c + 3*c)*(12 - 12 - 16*c) as f + n*c**2 + y*c and give n. 31 Express -6*g + 3*g - 10*g**3 + 9*g**3 in the form o*g + f*g**3 + i + u*g**2 and give o. -3 Rearrange -13*f**3 + f**2 + 1 + 3*f**2 - 4*f**2 to the form k*f**3 + z*f + r + u*f**2 and give z. 0 Rearrange -3 + 7*x**2 - 7 + 0*x**2 - 3*x**2 to the form l + y*x**2 + k*x and give y. 4 Rearrange 8*o - 10*o + 46*o to the form q + r*o and give r. 44 Rearrange (1 - 1 + 2*q)*(7*q + q + 4*q) + 4*q**2 + 0*q**2 - 3*q**2 to b*q + y + m*q**2 and give b. 0 Rearrange (-5 + 5 - 2*b)*(3 + 1 - 2) - 128 + 128 + 16*b + 2*b - b + 0*b to the form p*b + n and give p. 13 Rearrange (2 - 6 - 85*c + 90*c)*(-1 - 3 + 6) to the form n + r*c and give n. -8 Express -9*c**2 - 7*c**2 + 13*c + 18*c**2 + 2 as q*c + p*c**2 + d and give q. 13 Express 13 + 4*d**2 + 0*d**2 - 13 as x + f*d**2 + w*d and give w. 0 Rearrange -1189 + 2*g**3 + 1189 - 8*g**2 + 3*g**4 to the form f + u*g + q*g**3 + s*g**2 + i*g**4 and give i. 3 Rearrange (0*l**2 - 3*l**2 + 5*l**2)*(2 - 2 + 1) + 0*l**2 - 2*l**2 - l**2 to v*l**2 + a + z*l and give v. -1 Rearrange (10 - 6 + 4)*(-2 - 1 + 2)*(2*i**3 + 0 + 0) to a*i + g*i**2 + k + u*i**3 and give a. 0 Rearrange -2*h**3 + 5*h**3 - 4*h - 4*h**3 + h**2 + 5*h to the form r*h**3 + v*h**2 + q*h + z and give z. 0 Express 269*t**2 - 7*t**3 - 1 + 2 - 270*t**2 + t**4 in the form j*t**2 + g + s*t + h*t**4 + n*t**3 and give h. 1 Rearrange (-25 + 2 + 1)*(2*s**4 + s**4 - s**4) to u*s**3 + l*s**2 + p*s**4 + a + x*s and give p. -44 Rearrange (u**3 - 2*u**3 + 0*u**3)*(3 - 2 + 0) + (-2*u - 3*u + 6*u)*(-5*u - u**2 + 5*u) to r + s*u**2 + f*u**3 + n*u and give f. -2 Express 3*m**4 - m - 2 - 6*m**3 - m**4 + 4*m**3 as q + t*m + r*m**3 + w*m**2 + y*m**4 and give y. 2 Express d**3 - 6*d - 5*d + 0*d + 5*d as o*d**2 + t*d**3 + q + v*d and give t. 1 Rearrange (2 - 1 - 9)*(6*t**2 - t**4 - 6*t**2) to z*t + s*t**3 + l*t**2 + q*t**4 + p and give q. 8 Express (-6*a + 8*a + 6*a)*(-4*a**2 + 3*a**2 - 2*a**2) as w*a**3 + s*a + m*a**2 + x and give w. -24 Rearrange -6 + 11*v**2 + 8 - 3*v**2 to w*v + s + k*v**2 and give s. 2 Express (l**3 - 2*l**3 + 0*l**3 + (-4 + 2 + 0)*(4*l**3 - 2*l**3 - l**3))*(-3*l - 7*l + 5*l)*(-4 + 2 - 3) as k + t*l**3 + h*l**4 + q*l + d*l**2 and give h. -75 Rearrange -4*l - 3 + 6*l**4 + 1 + 6*l - l**2 to i*l**4 + o*l**3 + m*l + d + z*l**2 and give d. -2 Rearrange (3 - 3 - 2)*((-4 - 1 + 3)*(y + 3*y - 6*y) - 14 + 16*y + 14) to x*y + d and give x. -40 Express (-4 + 0 + 3)*(-4 + 2*h + 4)*(-4*h + 0*h + 3*h) as a + g*h + o*h**2 and give o. 2 Express (2 - 46*i + 42*i + 1)*(-3*i + i + 3*i) as b*i + y + p*i**2 and give p. -4 Express 0*g + 0*g + 6*g in the form y*g + x and give y. 6 Rearrange 3*f**3 - 3*f**2 + 3 - 6*f + 6*f + 0*f to the form h + p*f + i*f**3 + k*f**2 and give i. 3 Expr
{ "pile_set_name": "DM Mathematics" }
-1/2 (e) 0.2 (f) 0.4 d Which is the third biggest value? (a) 0.4 (b) 47528 (c) -1/24 (d) -3 (e) 0.2 (f) 2/9 f What is the third biggest value in 0.02, 0.088, -52? -52 Which is the third smallest value? (a) -7 (b) 1/12 (c) -50 b What is the smallest value in 0.012, 18/11, 1, -266? -266 Which is the second biggest value? (a) 47 (b) -0.1 (c) 1138 a What is the fourth smallest value in 55, 1, -1.8, -0.2, 1/9, 2? 1 Which is the second biggest value? (a) -2/11 (b) 8 (c) 0 (d) 332 b What is the third biggest value in 5, -0.0119, 1676? -0.0119 Which is the second smallest value? (a) -595 (b) 1 (c) 5 (d) 0.318 d What is the third smallest value in -4/3, -2/295, 5, 2? 2 What is the third biggest value in -0.4, -101, -14? -101 What is the smallest value in -3, 1, 1/6, -2, 617, -4? -4 What is the sixth biggest value in 1/2, 4484, 1, 5, 0.2, 1/3? 0.2 Which is the fourth biggest value? (a) -2 (b) -2/993 (c) 30 (d) 0.5 a Which is the second biggest value? (a) 1 (b) -51 (c) -3 (d) 0.4 (e) 2/17 d Which is the second biggest value? (a) -2 (b) -9 (c) 47 (d) 2 (e) 3 (f) -1 e What is the smallest value in -141, 7/44, -1/5, -5, 1? -141 What is the smallest value in -4/5, -9, -0.52, 108, 0.5? -9 Which is the third biggest value? (a) 0.04 (b) 2 (c) 7 (d) 23 b What is the fourth smallest value in 6, 519/17, 3/2, 2/15, 5? 6 Which is the second smallest value? (a) -11020 (b) -1/5 (c) -0.5 c What is the third biggest value in 1, 80, -243? -243 Which is the smallest value? (a) -4/5 (b) 8211 (c) -4/7 (d) -0.08 a What is the second biggest value in 11, -0.09, 2/3, -2/7, 5? 5 What is the second smallest value in 0.1, -966, -21? -21 Which is the second smallest value? (a) -9.4 (b) 5 (c) 2/7 (d) -2 d What is the third biggest value in 1, -2, -816, -0.4? -2 Which is the second biggest value? (a) 40/9 (b) 3 (c) 4 (d) 0 (e) -10 c What is the second smallest value in -1.6, 16, -2, 0.16, 1/12? -1.6 What is the biggest value in 3, 323.3, 3/10? 323.3 Which is the third smallest value? (a) 68 (b) 0.02 (c) 0.3 (d) -3.4 (e) 2 c Which is the third smallest value? (a) -0.3 (b) 1/19 (c) 0.3 (d) 5 (e) -3/11 (f) 1.2 b Which is the second smallest value? (a) 5 (b) 1/4 (c) -2/111 (d) 30 b Which is the second biggest value? (a) 3/4 (b) -0.2 (c) 9 (d) 33/4 (e) -2 (f) 19 c Which is the biggest value? (a) 4 (b) 2/2459 (c) -0.4 (d) -4 a What is the second biggest value in -2/7, 274, -0.3, 4, 1, -0.1? 4 What is the biggest value in -61, 0.12, -2/9? 0.12 Which is the third biggest value? (a) -0.2 (b) 982 (c) -1447 c What is the third smallest value in 2/51, 85, 0.06? 85 What is the second biggest value in 0.12, 5, 0.2, 26.7? 5 Which is the second smallest value? (a) -0.44 (b) -2/19 (c) -118 (d) 10 a Which is the sixth biggest value? (a) -64 (b) 1 (c) -73 (d) 3 (e) -0.2 (f) 0 c Which is the fourth smallest value? (a) -2/19 (b) -4 (c) 3 (d) 4 (e) -2/41 (f) 21 c Which is the second smallest value? (a) 1/7 (b) -4/125 (c) 9 (d) -6/7 b What is the second smallest value in -32, 71/5, 0.3, 2/33? 2/33 What is the third biggest value in -0.2, -9, 1169? -9 What is the second biggest value in -33, 0.2, -2/3949, -4, -0.5? -2/3949 What is the second biggest value in -4, -7, 1/8, -0.0136, 0.2? 1/8 What is the second biggest value in 4, -62, -356? -62 What is the smallest value in -23489, 1/3, 0? -23489 What is the third biggest value in -3.1, 1.9, 4, -5, -1? -1 Which is the fourth smallest value? (a) 0.10521 (b) 48 (c) -4 (d) -2/7 b Which is the smallest value? (a) 2/3 (b) 2 (c) 4.6 (d) 5 (e) -2/5 e What is the third smallest value in 0.078, 3, 831, -2/7, -1, -1/5? -1/5 Which is the smallest value? (a) -4 (b) 0.4 (c) -0.4 (d) 0.481 (e) -1.2 a Which is the second smallest value? (a) -21/2 (b) 53 (c) -1/48 c What is the smallest value in -108, 3/4, -10? -108 What is the third smallest value in 478, -19, 0.5, 1/8? 0.5 Which is the biggest value? (a) -28 (b) -3216 (c) -0.1 c What is the second smallest value in 1140, -0.1, -2/9, -3/5? -2/9 Which is the fifth smallest value? (a) 1 (b) 2 (c) 2/7 (d) 0.03 (e) 3/14 (f) -18 a What is the smallest value in -3/8, 1/2, 1.81, -0.3, -13? -13 Which is the smallest value? (a) 1/2 (b) -0.2 (c) -21 (d) 4 (e) 0.8 (f) 2 c Which is the biggest value? (a) -0.1 (b) 1637.1 (c) -1/6 b What is the fifth smallest value in -0.1, -109.7, -4, 1, 22, 0.2? 1 Which is the smallest value? (a) -0.2 (b) 52 (c) -3 (d) 0.2 (e) -3/2 (f) -6 f Which is the smallest value? (a) 4 (b) 6831 (c) 0.5 c Which is the biggest value? (a) -17 (b) -2 (c) 412 (d) 3/5 (e) 0.3 (f) -3 c Which is the third biggest value? (a) 2/5 (b) -83/4 (c) 31 (d) 0 (e) 2 (f) 3 e What is the second biggest value in 12, -0.6, 1.32? 1.32 What is the smallest value in 0.5, -4, 6, -24, -0.0413? -24 What is the fourth biggest value in 4, 0.3, -3875, -2, 2? -2 Which is the third smallest value? (a) 4/13 (b) -4 (c) 2 (d) 0.26 (e) 4 (f) -51 d Which is the biggest value? (a) -145 (b) -0.4 (c) 1/4 (d) -0.6 (e) -5 c Which is the second biggest value? (a) 2.12897 (b) -0.08 (c) -4 b Which is the fourth smallest value? (a) -4.3 (b) 0.03 (c) 2/37 (d) 0 c Which is the second smallest value? (a) 7 (b) 77 (c) 1 a Which is the second biggest value? (a) 1 (b) 3/28 (c) -0.267 (d) 2 a Which is the third smallest value? (a) -0.038 (b) -39/23 (c) 2/9 c What is the fourth biggest value in 45, -5, 5, 2/17, 0, 1.1? 2/17 What is the second biggest value in 0.4, -0.3, 0.1, 0.13, 11, -8? 0.4 What is the smallest value in -2/3, -12.35, 0.036? -12.35 Which is the third smallest value? (a) -62 (b) 3 (c) 0.5 (d) 3/7 c What is the fourth smallest value in -0.1, 7, 2/9, -1/5, 61, -5? 2/9 What is the fourth smallest value in -1.26, -2, -0.26, 1, -3? -0.26 Which is the fifth biggest value? (a) 0 (b) -1/11 (c) 1/2 (d) 8 (e) -2/9 e Which is the third biggest value? (a) 3 (b) -4 (c) 1/5 (d) 1/2 (e) -33 (f) 2 d What is the second biggest value in 16, 1/182, -1/4, -0.4, -0.1? 1/182 What is the second biggest value in 2/9, -1.4, 0.2, 4? 2/9 Which is the smallest value? (a) -1/2 (b) 2/5 (c) 0.0369 (d) -4 (e) 0 (f) -2 d What is the third biggest value in -4/17, 0.17, -0.4, 3/8, 5? 0.17 What is the second smallest value in -3/8, -94, -7? -7 What is the second biggest value in 2, 4.2, -40, -0.1? 2 What is the third biggest value in -0.1, 0.04, -120, 257? -0.1 Which is the third smallest value? (a) 5/2 (b) 3 (c) 2/9 (d) 0.01 (e) -0.4 c What is the smallest value in -1/5, 0.13, -0.1, -658, 5? -658 What is the fourth biggest value in -3, -1/5, -1604, 627? -1604 What is the smallest value in -19, 4.6, 0.4, -1/5? -19 What is the third biggest value in 0.5, -1/3, 217/6, 5, -0.4? 0.5 What is the fourth smallest value in -1/11, 4, -122/133, -3, -1/5? -1/11 Which is the second biggest value? (a) -1 (b) 0.5 (c) -48/389 c What is the biggest value in -2/9, 68, 6, -34/5? 68 Which is the biggest value? (a) 1596 (b) -4/29 (c) -1 a Which is the second biggest value? (a) 110 (b) 3 (c) 134/3 (d) 2 (e) -1/6 c Which is the smallest value? (a) -11 (b) -2/17 (c) -39/7 (d) -4 (e) -2 (f) 8 a What is the third biggest value in 0.9, 1/3, -6, -1, -3/2, 1/5? 1/5 Which is the fourth biggest value? (a) -26113 (b) -0.3 (c) -2/13 (d) -4 a Which is the smallest value? (a) 0.07 (b) -1 (c) -123.6 (d) -2 c What is the smallest value in -0.5, 3082, -1/4, 7/5? -0.5 What is the second smallest value in -1, -26, -0.285? -1 What is the second smallest value in 25/3, -6, 5, -1, 0.4? -1 What is the fourth smallest value in 0.3, 3, -1/9, 1/7, -28/5, 5? 0.3 What is the fourth smallest value in 4, 69, -5, -2/7? 69 Which is the second smallest value? (a) 1733 (b) 4 (c) -1 b Which is the fifth smallest value? (a) -1 (b) 3/2 (c) -8 (d) 0 (e) 15 (f) -1/5 b What is the second smallest value in 0.1, -0.03, 2/3, -0.5, 4/5, 1.6? -0.03 Which is the third smallest value? (a) -3 (b) -0.4 (c) 3649 (d) -1 b What is the second smallest value in -2.5, 157, 6? 6 What is the fourth smallest value in 1, 29, 172/7, -0.1, -0.4? 172/7 Which is the fourth biggest value? (a) 0.179 (b) -4/5 (c)
{ "pile_set_name": "DM Mathematics" }
h + 3*y - 10 = 0, 5*h + 313*y = 158*y + 159*y - 60 for h. -4 Solve -z + 46*s + 118 = 0, 41013*z = 41010*z - 4*s + 70 for z. 26 Solve -1851*u + 228 = 1850*u + 1851*u - 5548*u - 4*b, 5*b = -285 for u. 0 Solve q - 8 - 5 = 4054*o - 4055*o, -677 = -39*o - 5*q for o. 18 Solve -203*o + i - 21 = -208*o, 3*o - 2*i + 3*i - 2*i = 11 for o. 4 Solve s + 69 = -7*m - 86 + 18, -m + 3*m = -2*s - m - 65 for s. -4 Solve -24 = -3*m + 3*u, -m + 168*u - 174*u = 13 for m. 5 Solve -5*t - 23*n - 81 - 49 = 0, -26*n + 21*n - 34 = 3*t for t. -3 Solve -4*u + 21*k = -46 + 111, u - 4*k + 15 = 0 for u. -11 Solve k - 69*z + 34*z = 2*k - 34*z + 1, -4*k = -84*z - 84 for k. 0 Solve 0 = 696395*z - 696397*z + 3*w + 20, 0 = 32*z - 4*w - 408 for z. 13 Solve 0 = -4*u + 968*b - 38736, 11249*u - 3*b + 128 = 11247*u for u. -4 Solve -2*g - 7*j = -7*g - 120, 1276*j = -g + 1272*j + 57 for g. -3 Solve -5*y = 5*h + 75, 5*y - 6*y - 48*h - 531 + 14 - 62 = 0 for y. -3 Solve -4746*v = -4709*v - 4*i - 365, 2*v + 2*i = -80 for v. 5 Solve -6*g = o - 5*o + 540, -69*o - 13*g - 1187 = -72*o for o. -3 Solve -3*l - 2*r = -4*r + 71, 60*r = l + 49*r + 13*r - 51 for l. -5 Solve 19*q - 54*q + 20 = 2*a - 33*q, -14 = a - 5*q for a. 6 Solve 0 = -5*t - 3*h + 96, -5*t - h - 105 = -207 for t. 21 Solve 3*u - 69 = -5*b, 3*b - u = -5078 + 5041 for b. -3 Solve k - 121 = -4*c - 177, -3*c - 37 - 116 = -27*k for c. -15 Solve 0 = -2*i - 516 + 556, -60 = 5*v - 0*i - 4*i for v. 4 Solve -3*z - 5 = 4*s, -6590*s = 12*z - 6588*s - 36 - 14 for z. 5 Solve 2*n + 2*n - 442 = 4*n - 17*v, -8*n + 4*n + 200 = 8*v for n. -2 Solve 4*i - 102 = 10*x, -2*x - 443*i = -453*i + 48 for x. -9 Solve -15*i - 4*l - 172 = 22*i - 77, -5*i - 2*l = 7 for i. -3 Solve -28 = -7*p, -2*i - 3*p = -i - 2*p for i. -4 Solve b = 4*x + 16, 9549024*x - 4*b = 9549019*x + 2 for x. -6 Solve k + 25 = -2*t, 10406*t = -k + 10409*t - 40 for k. -31 Solve j - 3*j + 17 = 3*u, 10923*u + 5*j = 10919*u + 39 for u. 1 Solve -w + 16*q + 3 = 2*q, -827*w - 3 = -828*w + 5*q for w. 3 Solve -21*p = 5*j - 155, 0 = -261766*j + 261764*j + p + 2*p + 5 for j. 10 Solve -26*t + 56*t - 29*t = -2*c + 25, 21*c + t - 64 = 16*c for c. 13 Solve -337*r = -634*r + 302*r + 14*x + 164, r + 3*x + 35 = 0 for r. -2 Solve -6*j + 17*j - 67 = 26*j + g + 58, j = -g - 13 for j. -8 Solve -227*w + 181*w - 2*i - 928 = 0, 3*w - 68 = 5*w + 7*i for w. -20 Solve 5*y + 91 = -5*k - 39, 5*k + 53*y = -85*y - 3189 for k. -3 Solve 472964*b = 472962*b + 2*h - 2, 4*h - 4 = 2*b for b. 0 Solve -20*z = -627*y + 626*y - 602, 2*y + 2*z - 56 = 0 for y. -2 Solve -6*k + 267 = 3*w, 72217 = k - 2*w + 72180 for k. 43 Solve -4*k - 5*y + 12 = 0, -645301*k - 40 = -645297*k - 8*y for k. -2 Solve 2*c - 29*z = -34*z + 54 - 7, 16*c + 20 = 4*z for c. 1 Solve -5*l + 5 = 4*c, 2*c - 1 = -107343*l + 107342*l for c. 0 Solve 3*j = -32*p + 980, 114*p + 66 = -j + 116*p for j. -4 Solve -2*q - 140 = -4*a, -800*q + 6*a + 366 = -805*q for q. -72 Solve -30*j + 2*y + 0*y + 12 = -28*j, 2*j + 27*y = 3*j - 136 for j. 1 Solve 5*h - 6*c - 89 = 0, -17*c = -3*h - 40*c + 80 for h. 19 Solve -88*c + 4 = -87*c - 3*k - 1, 25*c + 5*k = -195 for c. -7 Solve -64 = -4*g, -965*o + 490*o + 2*g = -474*o + 28 for o. 4 Solve -5*j - 6 - 2 + 4 = -j - 2*c, -4924*c = -4927*c + 12 for j. 1 Solve -3*y = -7*r + 55, -13187*r - y = -13182*r + y - 2 for r. 4 Solve -400 = -10*x, -3*x + x = -92*s + 43*s + 51*s - 84 for s. 2 Solve 6*h + 8 = 2*y, 2*y - 11 = -6*h + 13*h for y. -5 Solve 143 - 86 = -5*c + 2*r - 111 - 97, -5*r = -3*c - 140 for c. -55 Solve 7*o + 14*o + 4 = 16*o + 872*i - 871*i, -2*i - 7 = 5*o for o. -1 Solve 4258*y - 4261*y - 27*l = 15, 20 = -4*y - 5*l for y. -5 Solve 3*c - 474 + 558 = 2*f, -92 = 2*c - 36 for f. 0 Solve 3*j = -123*q + 125*q + 84, q = -10*j - 42 for q. -42 Solve -b + 14*l - 12*l - 11 = 0, -b + 275 = 4*l + 563 - 259 for b. -17 Solve 79*g - 226*g - 3*s = -77*g - 74*g + 23, 3*g - s = 16 for g. 5 Solve 14*a + 4*m = -6*a + 80, -m - 2 + 0 = -4*a - 4 for a. 2 Solve -31 = 9*b + p, -13*b + 11*b + 2*b - 13*p = 17*p - 150 for b. -4 Solve 5 = 4*i - 5*i, 9*i + 34 = 7*s + 5*i for s. 2 Solve -732 = 35*c + 38*c - 62*c + 6*t, 4*c + 261 = 3*t for c. -66 Solve -31*j - 39*j - 7*j - 3*h - 174 = h, 3*j - 5*h - 10*h = 69 for j. -2 Solve 4*l + 4*m - 200 = -0*l, 0 = 2*l + 6*m - 56 - 31 - 205 for l. 2 Solve u + 6*v - 10 = 0, -3520*u - 4*v = -3515*u + 4 - 2 for u. -2 Solve 3*z - 3 = -2*a, -309*a - 3*z - 273 = -312*a - 231 for a. 9 Solve 65 = -5*j, -13224*m + 13228*m - 18 = 2*j for m. -2 Solve 5*s + 34 = -4*k, -11*k - 33*k = 64*k - 2*s + 30 + 66 for k. -1 Solve 0 = 220*p - 218*p + 11*z - 90*z + 41 - 246, 5*z = 4*p + 49 for p. -16 Solve -2*z - 2 = 0, 3*n + z - 50 - 50 = -86 for n. 5 Solve -167*q - 511 = 5*a, -43*q + 44*q - 5 = 4*a for a. -2 Solve 12*m = o + 1898 - 1850, 0 = o + 7*m - 28 for o. 0 Solve -w + 56 = -4*t, -832*t - 64*w + 191 = -827*t for t. -13 Solve 3*x = 2*y + 21, -3*x - 424*y = -420*y + 51 for x. -1 Solve 3*o - 79 - 175 = -12*a + 97, -116 = -4*a for o. 1 Solve 0 = -2*a - 3*n + 3, -5*n - 2898 + 1440 = 9*a - 1429 for a. -6 Solve -15*x + 3*x = 5*x + 2357*w - 2353*w + 276, 4*x = 3*w - 61 for x. -16 Solve -3*d - 14 = -v, 363*d - 103 = -357*d + 724*d - 5*v for d. 3 Solve 22*y - 4*a = -251 + 307, -75 = 3*a for y. -2 Solve -5*q + 3 = -b - q, -7*b - 1037*q + 139 = -1033*q for b. 17 Solve -530*r + 14 = -532*r + 2*b, 6*r - 7*r + b = -2*b + 11 for r. -5 Solve -5*w - 4*v + 31 = -255, 40*w - 3*v - 139 - 2009 = 0 for w. 54 Solve 0 = -3*h - z + 37, -5*h = 5*h + 34443*z - 34446*z - 98 for h. 11 Solve 3*h + l + 33 = -3*l, -4*h = -558085*l + 558088*l + 16 for h. 5 Solve -b = l - 17, 4*l - 2*l - 19*b + 269 = -96 for l. -2 Solve -6507*f + 5*l = -6512*f + 15, -28 = -4*f + 4*l for f. 5 Solve 2*q - 6*x = -x - 74, 83*x - 87*x + 54 = -2*q + 3*q for q. -2 Solve 3*a - 2*r - 195 = 0, 108770*r = -10*a + 108766*r + 682 for a. 67 Solve -11 = -5*w - 6*b + 2*b, 2*b - 15 = -4*w + 5*b for w. 3 Solve 5*b + 30*g - 125 = 28*g, 0 = 215*b - 213*b - 6*g - 16 for b. 23 Solve -6*f + 122 = -5*w, 0 = 92*f - 97*f - 170*w - 4775 for f. -3 Solve 6*z - 28 - 19 = 2*m - 35, -10*z + 10 = 0 for m. -3 Solve -9*r + 3171*o - 3173*o + 50 = -3*r, 0 = -4*r + 4*o + 44 for r. 9 Solve -35*q + 349*v - 445 = 347*v, -2*v = 10 for q. -13 Solve 6*z - 535 = -4*z + 15*z + 60*r, z = -4*z + 5*r + 50 for z. 1 Solve 0 = 5*m + 115, 0*o + 2*o - 3*m - 61 = o - 3*o for o. -2 Solve -i = p - 23, 5*p + 571 - 692 = i - 0*p for i. -1 Solve 6*s - 3*f = -45, s - 7*s + 8*f - 37 = -2*s + 11 for s. -6 Solve 3*a - 85700*i - 46 = -85701*i, 2*a = -2*i + 100 for a. -2 Solve 15*p + 156 = -2*f, 3*f + 4*f - 4*f - 2*f - 4*p = -55 for f. -63 Solve -1623*g + 157 = 4*d - 1618*g, 2*g - 66 = 0 for d. -2 Solve 62*t = 73*t + 2*o + 66, -3*o - 19 = 3*t - 1 for t. -6 Solve 48*y - 49*y + 58 = -2*d, 4*y - 2 = -d - 13 for d. -27 Solve -5*k = -5*m + 5, -128*k + 65*k = -60*k - m - 5 for k. 3 Solve -5*v + 7 = 2*u, 0 = v - 11*u + 130 - 120 for v. 1 Solve 2*d + 7 = 3*d + a, -5*a + 20 + 15 = -d for d. 0 Solve -7*p - 6*p + 12 = -9*p, -9 = 5*j - 3*p for j. 0 Solve -5*l + 3*l + 14*z - 38 = 0, 68*l - 68*l - 6*z = 12 for l. -33 Solve a + 3*o = -0*a + 91, 0 = 7*a - 9*o + 4*o - 507 for a. 76 Solve -6143*w - 2*v = -6140*w - 4*v + 15, -5*w - v = 25 for w. -5 Solve 85 = 5*p - 5*g, p + 4*g - 25600 + 51209 - 25601 = 0 for p. 12 Solve f + 4*b - 13 = 0, -12*b + 11*b - 41 - 10 = -2*f - 4*b for f. 33 Solve -8*p - 27*p = 4*i - 151, -5*p + 4 = -1 for i. 29 Solve 4*y = 12, -4*u + 29038 - 29043 = y for u. -2 Solve -2*n + 24*x = -n - 38 - 86, 0 = 4*n - 5*x - 142 + 10 for n. 28 Solve 0 = -4*t + 15*r - 8*r - 10*r - 165, -3*t - 160 = t + 4*r for t. -45 Solve 15*f = 422*j - 427*j + 25, -3 = -13*f - 2*j for f. -1 Solve 739*t + 3*w + 18 = 740*t, -2*w + 15 = t + 2 for t. 15 Solve 4*j + 4*j - j + 3*y = 8*j - 95, 9*j - 1207 = 38*y for j. -1 Solve 39*t = 19*g - 21*g - 32 + 8, 3*t = -g - 12 for t. 0 Solve -3*l = -z + 2*l - 31, -181915 + 181900 = z + 3*l for z. -21 Solve -3*g + 70 = -11*t, -3*t + 12 = -2*t + 9*t + 3*t - t for g. 27 Solve -87 = i + 2*l - 134, 2*i + 13 - 82 = -0*i - 3*l for i. -3 Solve 48 = -52*v + 65*v - 2*g - 139, 0 = 4*v + g - 64 for v. 15 Solve -135215*k + 135220*k + 27 = 4*o - 68, -67*k = -o + 2*o + 1000 for o. 5 Solve -2*j - 5*x + 5*x = 5*x - 152, -20053*x = 4*j - 20059*x + 208 for j. -4 Solve
{ "pile_set_name": "DM Mathematics" }
6072. 15442.88 Multiply 0.00163 and 12. 0.01956 What is 5 times 163.55? 817.75 What is 0.243 times 64? 15.552 What is the product of -3 and 275.73? -827.19 Product of -133 and -0.03737. 4.97021 Work out -0.07 * -2.761. 0.19327 Work out -1243.7 * 95. -118151.5 Calculate -4335*-49. 212415 What is -26.851 times -0.12? 3.22212 Calculate 0.18*212.5. 38.25 Calculate -52457*0.2. -10491.4 57740 times 0.24 13857.6 Work out -3 * -56.533. 169.599 -550.205*-0.4 220.082 Calculate 0.24*-0.156. -0.03744 Product of 0.1829702 and -0.2. -0.03659404 -50.1 times 4.07 -203.907 -0.6 times 16362 -9817.2 0.1*-58.698 -5.8698 What is -358 times 0.15? -53.7 Multiply 0.2 and 0.05554. 0.011108 Work out 3 * 4569. 13707 Calculate 22991*6. 137946 Product of -90.587 and 15. -1358.805 What is the product of 0.1 and 96? 9.6 Multiply 97 and 0.003. 0.291 Product of 708 and 5363. 3797004 -458.0398*0.3 -137.41194 What is the product of -193891 and -1? 193891 Calculate -2660.3*-4. 10641.2 -0.1 * -29560 2956 -0.5 * -311814 155907 Calculate 1.8*14.51. 26.118 Work out 2 * 13526. 27052 Multiply -2.4106 and 0.2. -0.48212 15181 * 0.205 3112.105 Work out 57.318 * 0.5. 28.659 -0.0222 times 881 -19.5582 -0.1 times 12381 -1238.1 Calculate -4*-21602. 86408 Product of 295419 and 2. 590838 3*0.074389 0.223167 6 times -424.5 -2547 11.8 * -1.884 -22.2312 What is the product of 0.2 and -4475? -895 Multiply 91927 and -0.3. -27578.1 What is the product of -0.54098 and -0.03? 0.0162294 What is the product of 152.4 and -9? -1371.6 What is 3115 times -0.034? -105.91 Product of 414 and 808. 334512 Calculate 482753*0.2. 96550.6 22750 times 0.003 68.25 Multiply 1.79749 and 0.2. 0.359498 Work out 102.9 * 8. 823.2 What is the product of 716 and 11.9? 8520.4 What is -3036 times -0.5? 1518 Work out 824.09 * 0.5. 412.045 What is 41478 times -0.3? -12443.4 Product of -21313 and 1.39. -29625.07 Multiply -36050 and 2.6. -93730 What is the product of -276.4 and -0.01? 2.764 Calculate -0.3438*0.3. -0.10314 24 times 5111 122664 What is the product of 1.87 and -122? -228.14 -16.3 times -2706 44107.8 9*148.366 1335.294 -2.683257 times 1 -2.683257 Work out 0.134667 * -10. -1.34667 Work out 0.9 * 78.558. 70.7022 Multiply 12 and -1345. -16140 What is the product of 3 and 5569? 16707 105 times -0.025 -2.625 Work out -5.67 * 0.169. -0.95823 0.83 times 5.42 4.4986 Product of 7 and -1367. -9569 -32279 times 3 -96837 -2.06 times -0.48 0.9888 Multiply 987988 and 3. 2963964 Multiply 110 and -9378. -1031580 Product of 2 and -6315. -12630 What is 0.01532 times 0.1? 0.001532 Product of -2195 and 2.76. -6058.2 What is the product of -0.15 and 1961.7? -294.255 What is -0.06 times -7.1426? 0.428556 -3.6643 times -0.026 0.0952718 0.04 times -46724 -1868.96 24.96*-8 -199.68 Work out 0.06 * 67. 4.02 0.01 times -1.4059 -0.014059 -10270 times 18 -184860 0.1 times -4552 -455.2 What is 2.6 times -716.6? -1863.16 What is the product of -79 and 5.65? -446.35 Calculate -3*65833. -197499 What is the product of -0.0877 and 33? -2.8941 What is 9.9 times -82.26? -814.374 -5*46.544 -232.72 -579357 * 2 -1158714 -1.43 * 0.04799 -0.0686257 -331 times -60.9 20157.9 -0.37*306 -113.22 Work out 2 * -17739. -35478 -1481*-0.32 473.92 What is the product of 0.2 and -7961? -1592.2 What is -47110 times -5? 235550 Product of 7 and -2.969. -20.783 What is the product of 11 and -9133? -100463 Product of -65.1466 and 1. -65.1466 What is -110.64 times -1? 110.64 Calculate 0.7*292082. 204457.4 Product of 5 and -103.943. -519.715 -8.7 times 1.6 -13.92 What is the product of 2 and 0.0592895? 0.118579 What is -28 times 16399? -459172 Work out 0.18198 * 2.5. 0.45495 -9*13920 -125280 10 times 102.4 1024 Product of 5 and -0.0237. -0.1185 Product of 16618 and -0.1. -1661.8 0.12262 times 0.06 0.0073572 8.441*-3 -25.323 What is the product of 0 and -964623? 0 Calculate 138147*-12. -1657764 -0.261 times 994 -259.434 What is -99 times -22.73? 2250.27 What is the product of 20 and 0.230721? 4.61442 3 times 2.9508 8.8524 Product of -0.2352 and -7.9. 1.85808 Multiply -12.3 and 0.9. -11.07 0.3 times -0.81301 -0.243903 -0.86*-568 488.48 0.0397*-10.22 -0.405734 -0.33 * -61.88 20.4204 152858.8 * -3 -458576.4 Calculate 13578*-1.6. -21724.8 Product of -17 and -199.09. 3384.53 Multiply -342.328 and 1.1. -376.5608 What is the product of -158 and -51? 8058 What is the product of 0.0488 and -8.8? -0.42944 -0.5 * -0.169475 0.0847375 -2196.13 times -1 2196.13 0.407*-34 -13.838 Calculate 6*-12756. -76536 What is -451 times -6.26? 2823.26 Multiply -0.84 and 2040. -1713.6 3*426416 1279248 -8.425 times 100 -842.5 3.1 times 5057.3 15677.63 -4009438*0.3 -1202831.4 -2*203.49 -406.98 Product of -1 and -0.689981. 0.689981 Product of 5604 and 0.22. 1232.88 Product of 0.4 and 276.511. 110.6044 0.3*15847 4754.1 What is the product of -982 and -0.04? 39.28 0.03*3.9251 0.117753 11*20100 221100 1068705 * -0.2 -213741 Calculate -81.56*0.3. -24.468 What is the product of 1.6322 and -0.05? -0.08161 Work out -0.124 * -347. 43.028 Work out -0.3 * -0.296695. 0.0890085 Product of 0.0552 and 3573. 197.2296 Calculate 0*314780. 0 What is the product of -0.08 and -0.11896? 0.0095168 Multiply 5280 and -45. -237600 -2 times 6767.3 -13534.6 What is 3 times -12.41? -37.23 What is the product of -539 and -132.3? 71309.7 -5 * 243465 -1217325 0.115*-5.63 -0.64745 6.68045 * -0.3 -2.004135 What is the product of 0.0843 and -0.085? -0.0071655 104837*-1 -104837 Multiply 32751 and -6. -196506 -9184 * 3.4 -31225.6 6160 * -0.5 -3080 Calculate 131584*-2. -263168 Calculate 21632*3. 64896 Work out -0.01633 * -59. 0.96347 23.9 * -0.0353 -0.84367 Calculate 2*-88983. -177966 0.5 times -5894.7 -2947.35 Calculate -0.2*-10522.3. 2104.46 -0.13*1945.7 -252.941 Multiply 0.1632 and 0.1. 0.01632 Work out 37 * -47081. -1741997 What is the product of 0.2 and 162616? 32523.2 Work out 1516 * 0.3. 454.8 Calculate 0.12*-195.149. -23.41788 Product of 21.54592 and 0.3. 6.463776 What is the product of -9093 and 1? -9093 -1.2*-69894 83872.8 Multiply -6 and 14.39. -86.34 Work out -31511 * 0.1. -3151.1 What is the product of -2 and -1784? 3568 What is -609.69 times 0.07? -42.6783 -0.4 times -1448 579.2 What is the product of -12.6 and -138? 1738.8 What is -5881 times 5? -29405 Calculate -182607*2. -365214 Product of 3.7495 and -0.07. -0.262465 5 * -32512 -162560 What is the product of 1.05 and -2.27? -2.3835 Multiply -6 and -1018.4. 6110.4 Product of -231 and 998. -230538 Calculate 0.1034*-0.5. -0.0517 0.02 * -0.054139 -0.00108278 Calculate 6.3*2.4244. 15.27372 45925 times 0.05 2296.25 What is the product of -30 and -0.4964? 14.892 Calculate 4*-16998. -67992 What is the product of 0.718073 and 0.4? 0.2872292 531*45 23895 Product of -2 and 1988. -3976 -2.68 * 0.763 -2.04484 What is -1 times 22.629? -22.629 Work out -17038 * -24. 408912 0.003*-644 -1.932 What is 1.55955 times -5? -7.79775 463 * 1162 538006 What is the product of -0.079843 and 9? -0.718587 What is -2237953 times 0.2? -447590.6 Calculate 200*-107. -21400 What is the product of -3.3223 and 0.04? -0.132892 -323*-1298 419254 -1031*-8.7 8969.7 Product of 0 and -51493. 0 Multiply 185210 and -7. -1296470 Product of 73.3475 and -0.02. -1.46695 1464 times -7.53 -11023.92 Multiply 2.7651 and -0.1. -0.27651 -0.912*1.81 -1.65072 -304 times 323 -98192 What is -2 times 2640? -5280 What is the product of -5 and 1.031? -5.155 Product of 1615 and -0.102. -164.73 -0.255*0.0362 -0.009231 What is 397 times -0.042? -16.674 What is the product of 30 and 0.31614? 9.4842 13*2319 30147 Calculate -2.873*17. -48.841 -3264*-29 94656 0.3*-5113.2 -1533.96 What is the product of -310991 and -0.4? 124396.4 What is -0.48 times -2603? 1249.44 Work out -0.40395 * -1. 0.40395 Product of 0.06 and -45.247. -2.71482 -0.02*-3965 79.3 -289 * -17.48 5051.72 Work out -0.1 * 41296.6. -4129.66 Product of 0.057 and -0.00871. -0.00049647 Calculate -87722*11. -964942 Multiply 0.0349 and 0.25. 0.008725 Calculate 111*-235. -26085 0.58*1708 990.64 Work out 0.0839 * -115. -9.6485 What is 289173 times 0.4? 115669.2 What is -4.34 times -339? 1471.26 Multiply -0.2544 and -0.3. 0.07632 -406*-0.107 43.442 1.5 times 5.895 8.8425 Calculate -0.091*1.301. -0.118391 What is 88483 times 2? 176966 -0.5 * 30462 -15231 Multiply 7.26 and 261.5. 1898.49 P
{ "pile_set_name": "DM Mathematics" }
ose -21*w = -20*w - 65. Suppose w - 61 = y. Solve 6 = -p + y for p. -2 Suppose 3*c - 90 = -5*n + 83, 0 = 4*c - 2*n - 196. Solve 4*k + c - 67 = 0 for k. 4 Let d(q) = -2*q + 19. Let h be d(9). Let y be 0*((-15)/(-6) - (h + 1)). Solve y = s - 4*s + 9 for s. 3 Suppose -5*z = -5 - 0. Let f = -1435 + 1436. Let l = z - f. Solve 3*x + 6 = -l for x. -2 Suppose 7*l - 3*l - 36 = 0. Suppose 4*s + 2*i - 63 = l, 20 = -5*i. Suppose s = -0*k + 2*k. Solve -3*q - 2*q + k = 0 for q. 2 Suppose -26*b = -33*b + 721. Suppose -b = -20*h + 117. Solve 0 = -h*y + 7*y - 20 for y. -5 Let p = 40 + -48. Let z = 19 + p. Let c be 3/(-1 - -4 - 2). Solve z = -c*j - 1 for j. -4 Let y(p) be the second derivative of -1/2*p**3 + 0 - 31/2*p**2 + 5*p. Let x be y(-11). Solve x*a + 9 = -a for a. -3 Let g be -2 + (-1 - 0) + (0 - -1). Let w(v) = -27*v - 2. Let r be w(g). Let f = r + -51. Solve 3 = -4*i - f for i. -1 Let v be 8*(-50)/(-480)*30. Solve -2*z - v = -31 for z. 3 Let c = -119 + 125. Let p(y) = 3*y + 24. Let s be p(c). Let o = 46 - s. Solve v = 2*v - o for v. 4 Let h(s) = 16*s + 4. Let r be h(0). Let q be (-3)/((-36)/66) - (-2)/r. Suppose -2*t = -25 + 7. Solve -t = -3*v + q for v. 5 Suppose 5*g - f - 14 = 0, -5*g = -0*g + f - 16. Suppose 0 = -l + g*l - 34. Let w = 421 + -417. Solve w*c + l = 1 for c. -4 Let d be 2/(1 + 1)*73. Suppose 79*b = d*b + 528. Let a = 91 - b. Solve 8*t + 25 = a*t for t. -5 Suppose 5*d = -j - j + 7, -3*d + 29 = -5*j. Let u(m) = -2*m**2 - 4*m + 7. Let y be u(-3). Solve -w + y = -d for w. 4 Let g(r) = -r**3 - r**2 + 5*r + 3. Let u be g(4). Let o = 34 + u. Let i = -4 - o. Solve -6 = 5*q + i for q. -5 Suppose 20*k = 120*k - 1000. Solve 84 = k*a - 31*a for a. -4 Let i(s) = s**2 - 2. Let p(z) = 7*z**2 + 10*z + 58. Let o(d) = -6*i(d) + p(d). Let m be o(-10). Solve -13*k = k + m for k. -5 Let t = 18697 + -18582. Solve 75*f = 35 + t for f. 2 Let c = 4808 + -4783. Solve 1264*u - 1269*u = -c for u. 5 Let r(p) = -11*p + 59. Let j(v) = 3*v - 15. Let s(u) = -9*j(u) - 2*r(u). Let n be s(8). Let i = -18 - n. Solve 0 = i*c - 9 - 16 for c. 5 Let t = 52 - 50. Suppose -2*o - 3*s - 7 = 0, -5*s = 3*o - o + 17. Suppose 5 = x - v - o, -t*v + 7 = 3*x. Solve -2*a + x*a = 9 for a. 3 Let m(w) = -w**3 + 15*w**2 - 27*w + 21. Let g be m(13). Suppose 42*q - 41*q + 3*x + g = 0, -2*x - 7 = -q. Solve -13 = 4*k - q for k. -3 Suppose -69*f + 19*f = 11*f - 1830. Solve 0 = -32*s + f*s + 8 for s. 4 Suppose -5*m + 10*m - 15 = 0. Suppose -4*p + 5*n = -86, -m*p + 20 = -2*p - 2*n. Suppose -4*y - 8 + p = 0. Solve -y*v = v for v. 0 Let l = 193 - 164. Suppose 4*v = -13 + l. Solve -v*x + 0*x + 12 = 0 for x. 3 Suppose -153 + 179 = 2*r. Let c be r/((-39)/(-36)) - (2 - -2). Solve -23 = -3*s - c for s. 5 Let m be (-2)/((-8)/(-30))*(-54)/(-45). Let d(w) = -2*w + 30. Let c be d(m). Let r be -4 + (c/(-9))/(4/(-6)). Solve 0 = o + r - 0 for o. -4 Let w(t) = t**2 + 1. Let r(n) = -10*n**2 - n + 6. Let v(s) = -r(s) + 5*w(s). Let c be v(-1). Suppose 5 + c = 9*m. Solve m*f = -3 + 7 for f. 2 Suppose 41*y + 504 = 62*y. Suppose 0 = 15*n - 23*n + y. Solve -4*i = 19 - n for i. -4 Suppose 480*c = 468*c + 3780. Solve 0*o = 45*o - c for o. 7 Let p be ((-60)/(-8) - 3)*(-24)/(-54). Suppose -p*k + c = 0, -3*k + 2*k = 5*c. Solve l - 30 + 33 = k for l. -3 Suppose -284 = 8*a + 6*a - 1670. Solve a*d + 169 + 29 = 0 for d. -2 Suppose -3*w = -2*h + 19, 4*h - 3*w = 50 - 9. Suppose -h*u = -16*u. Suppose -i = -3*a + 2*a + 2, 3*a - 12 = u. Solve 3*g - i*g = 0 for g. 0 Let q = 13 + -9. Let y = -7872 + 7892. Solve q*w = 8*w - y for w. 5 Let j be -3*6/9 - -4. Suppose -3*y = 4*i, 3*i = -j*i + 3*y. Let a be (32/(-8))/(-2 - 0). Solve -a*f + 4 = -i for f. 2 Let q = -3648 - -3648. Solve q = 4*y + 15 - 3 for y. -3 Suppose -11*t + 8*t = -6. Let l be 4/t + 2 + 0. Let u = 2 + l. Solve u = 4*s + 2 for s. 1 Suppose 35*t + 3016 - 4650 - 4141 = 0. Solve -t*q = -166*q + 1 for q. 1 Let h be (-1)/(-3)*60/5. Let t = 2665 - 2658. Solve h*c + 5 = -t for c. -3 Let k be 3/(3/527) + (96 - 102) - 2. Solve -5 = -524*b + k*b for b. 1 Let t be -2 + -3 - (1 - -3 - 201). Let h = t - 190. Let b(f) = 3*f**3 - 3*f**2 + f - 2. Let y be b(2). Solve -q = h*q + y for q. -4 Let r = -3448 - -3450. Solve -23*k - r = 90 for k. -4 Suppose -24 = 4*q - 4*b, 0 = -4*q + 6*b - b - 27. Let d = 1 - q. Solve -5*k + d*k = 0 for k. 0 Let b = 798 + -827. Let r = 77 + -48. Let j = r + b. Solve 4 = n - j*n for n. 4 Suppose 656*o - 553 = 624*o + 119. Let p be 0 - (1*6 - 2). Let x = p + 9. Solve x*q = -o + 1 for q. -4 Let z(l) = l**2 - 23*l - 131. Suppose 0*n = -3*p + 3*n - 15, 0 = -4*p - 4*n - 20. Let b be z(p). Solve 28*a - 31*a + b = 0 for a. 3 Suppose 2*h - 8*g = -3*g + 15, -g - 3 = 4*h. Suppose 5*l + b - 17 = h, 4*l - 2*b - 10 = 3*l. Solve 0*v + 20 = l*v for v. 5 Suppose -7*h + 5874 = 82*h. Solve -5*b = h*b for b. 0 Let f be 160/(-2960) - (-9)/111*1197. Solve -26*m - 59 - f = 0 for m. -6 Let n = -454 - -410. Let j be -5*2/(-55) - 256/n. Solve -2*p + j*p + 12 = 0 for p. -3 Suppose 3*v - 14 = -2*h + 2, -4*v - 7 = -3*h. Let l(n) = -2*n + 1. Let k(g) = -7*g + 13. Let r(f) = k(f) - 3*l(f). Let p be r(h). Solve p*x = x for x. 0 Let c(z) = 7*z**2 - 43*z + 91. Let b be c(8). Solve -16 = b*g - 203*g for g. 2 Let w be -3 + (-15)/30*-16. Solve 0 = -w*l + 7*l for l. 0 Let z(w) = 109*w + 3310. Let d be z(-30). Solve -d*m = -28 - 12 for m. 1 Let j = -1139 + 1149. Let i(y) = -15*y**3 + 2*y**2 + y. Let c be i(-1). Suppose 3*u - c = -2*v, 8 + 12 = 4*v. Solve u*g - 2 + j = 0 for g. -4 Let k be (-5 - (-10)/4)*-6. Let r(c) = -c**3 + 15*c**2 - 2*c + 36. Let j be r(k). Solve j*a = -15 - 3 for a. -3 Suppose -5*u + t + 15 = 0, -2*u + t - 7 = -2*t. Suppose 3*v + 11 = u*g, -4*g - v + 5 = 2*v. Solve 4*m = g*m + 4 for m. 2 Let h(c) = -c**3 + 5*c**2 + 10*c + 47. Let n be h(7). Solve -n*g + 44 = 25 for g. 1 Suppose -4*k = -9*k. Let z = k - -5. Let a be (-4)/6*3*(-8 - -7). Solve -z = -g + a*g for g. -5 Let x be (-7 - 0) + -38 + -345. Let b = -390 - x. Solve 10*j + b*j - 50 = 0 for j. 5 Let p be 1/((-21)/100 - ((-490)/40 - -12)). Solve 28*w + 9 = p*w for w. -3 Let n(f) = 53*f + 2117. Let a be n(-12). Solve 1483*c - a*c + 6 = 0 for c. -3 Let h(b) = -b**3 - 19*b**2 - 18*b. Let a = -42 - -24. Let p be h(a). Suppose p = w - 4. Solve w*f = 9*f for f. 0 Let f(x) = -x + 30. Let o be f(21). Suppose -3*j + 2*j = -p - 15, -12 = -2*j - 4*p. Let k be ((-10)/(-6))/(29/87). Solve o*b - k*b + j = 0 for b. -3 Let b(g) = g**3 - 9*g**2 + 17*g - 10. Let y be b(7). Suppose y*n - 42 = 5*n. Solve 0 = -3*k + 1 - n for k. -2 Let n = 665 + -518. Suppose -n*y + 157*y - 100 = 0. Solve y*u = 7*u for u. 0 Let o be (-65)/(-40) + 12/32. Suppose 4*k + 2 + 4 = -o*g, -3*k - 5*g - 15 = 0. Solve k = 2*c + 3*c - 25 for c. 5 Let g(b) = -11*b**2 - 20*b + 2. Let s be g(-1). Solve -s*p + 8 + 47 = 0 for p. 5 Suppose 3*x - 4*x + 2 = 0. Suppose 0 = x*b - t - 37, 63 = -0*b + 3*b + t. Suppose -2*o + 3*s = -0*o - 25, 0 = 4*s + b. Solve -4*f + 3*f - o = 0 for f. -5 Suppose 74*h - 233*h + 1220 + 5776 = 0. Solve -h*w + 130 + 178 = 0 for w. 7 Let k be -9 + (-11 - -13) + (-42)/(-3). Suppose 0 = 2*g + 3*g + 70. Let w be (k/g)/(2/(-4)). Solve -2*y = -y - w for y. 1 Suppose 609 = -6*a + 3147. Let u = 427 - a. Suppose -2*h - 2*h - 4*m + 52 = 0, 4*m - 28 = -h. Solve -2*i - h = -u for i. -2 Let j(y) = 15*y + 366. Let v be j(11). Let h = v - 526. Solve -12 = h*f + 8 for f. -4 Let y = -65 + 69. Suppose -77*c = -69*c - 24. Solve -l + y = -c*l for l. -2 Let x(u) = -3*u. Let p be x(-4). Suppose -3*w + 117 = 2*j - 2*w, -2*j = 2*w - 112. Let l be -1 + -1 + (67 - j). Solve l*r + 0*r = p for r. 3 Suppose -3*i = -4*z + 315, 0 = 5*z - 2*z - 5*i - 239. Solve 21*p - z = 90 for p. 8 Suppose -245*a + 4899 = -1750 - 1436. Solve -a*m + 332 = 50*m for m. 4 Suppose -75*g - 44*g = 8*g - 48006. Solve 376*x - g*x = -8 for x. 4 Let p(r) = -r - 2. Let l be p(2). Let o be (-3)/(0 + l/(-12)). Let c be (-48)/(-9) + 3/o. Solve s + 2 = c for s. 3 Suppose r - 4*s = 14, 2*r + 20*s = 21*s + 42. Solve r*y - 5 = 23*y for y. -5 Let v be (-2)/(-71) + 43434/639. Solve v*x = 33*x + 35 for x. 1 Suppose -4 + 24 = -5*f, -5*f = r + 18. Suppose -r*p = -166 + 150. Solve -z = 3 - p for z. 5 Let t = 4784 + -4768. Solve t*m + 54 = 70 for m. 1 Let u(q) = q**3 + 5*q**2 + 5. Let f be u(-6). Let j be (84/(-70))/((-4)/(-80)
{ "pile_set_name": "DM Mathematics" }
1119 = 0, -q + 2*f = -219 - 338. What is the units digit of q? 9 Let h(i) = i**2 - 6*i + 5. Let q be h(4). Let a be 4/(-3)*q - 1. Suppose -4*u + 2*r = a*r - 61, -u + 2*r = -4. What is the units digit of u? 4 Suppose 3*x - 1762 = -2*p, -5*p = 5*x + 376 - 4791. What is the units digit of p? 7 Suppose -5*l + 5*w + 1370 = 0, -3*w = 5*l - 1609 + 263. Suppose -9*d + l = -215. What is the units digit of d? 4 Let v(n) = 125*n**2 + 3*n + 3. Let i be (-9)/27 - (-4)/(-6). What is the hundreds digit of v(i)? 1 Suppose -4*a - b = -0*a + 44, b - 16 = a. Let i be 4/a - 84/(-9). Let g = i + 31. What is the tens digit of g? 4 Let m be 2*-4*(-4)/16*1. Suppose -504 = m*q - 9*q. What is the tens digit of q? 7 Let u(m) = m**2 - 2*m - 4. Let f be u(4). Suppose 2*l = 5*d - 464, 0 = -f*d - 0*l + l + 373. What is the units digit of d? 4 Let p(h) = 196*h - 5. What is the hundreds digit of p(2)? 3 Let r = 693 - 207. What is the hundreds digit of r? 4 Suppose 8*p = -135 - 201. Let u = 142 - p. What is the units digit of u? 4 Suppose 40 = 3*a - 7*a. Let r be ((-66)/55)/(4/a). Let d(p) = -p**3 + 3*p**2 + 3*p - 3. What is the units digit of d(r)? 6 Suppose 95 = h + o, -5*o - 111 = -h - 10*o. Let q(u) = -u**2 - 8*u - 3. Let z be q(-5). Let f = h - z. What is the units digit of f? 9 Suppose 4*l - 3*c = 29, 3*l = 7*l + 4*c - 64. Let b(z) = -1 + 2 - z - l*z**2 + 13*z**2 + 2*z. What is the units digit of b(3)? 2 Let z be 4/(-34) - 490/170. Let m be z + 5/(20/8). What is the tens digit of (78/(-18))/(m/9)? 3 What is the tens digit of -232 - -241 - (-406 - 1)? 1 Let t = -97 + 110. Suppose -15*g + 70 = -t*g. What is the tens digit of g? 3 Let r(c) = -11*c**2 - 7*c. Let a be r(3). Let j = -76 - a. What is the tens digit of j? 4 Suppose 0*z = -2*z + 72. Let j be (-74)/9 - (-8)/z. What is the units digit of 4 - (2 + j/2)? 6 What is the thousands digit of 8298/((-48)/(-8))*3? 4 Let t = 52 + -27. Let a = t + -23. Suppose 3*c - 69 = 3*l, 0*c = -4*c + a*l + 82. What is the units digit of c? 8 Suppose 12 = 4*j + 5*w + 1, 4*w = j - 8. Let q(f) = f - 1. Let v(c) = c**2 + 3*c + 1. Let z(g) = -5*q(g) + v(g). What is the tens digit of z(j)? 1 Let i = 74 + -30. Let n = -42 + i. What is the units digit of n? 2 Suppose -4*d + 2*d - 2*b - 42 = 0, 4*b + 16 = 0. Let g = 165 - 115. Let k = d + g. What is the units digit of k? 3 Let u = -48 + 114. Suppose -u = 2*l - 278. Let a = l + -69. What is the tens digit of a? 3 Let j = -27 - -119. Suppose -80 = -2*y + 4*d + 84, -4*d - j = -y. What is the tens digit of y? 7 What is the hundreds digit of 4/(-14) + (-59140)/(-14) + -7? 2 Suppose -17*u + 22*u - 1640 = 0. What is the hundreds digit of u? 3 Suppose 41*t - 38*t - 5*r - 2566 = 0, 0 = -5*r + 20. What is the units digit of t? 2 Let b be 4/14 + 729/21. Suppose -5*l = -b - 15. What is the units digit of l? 0 Let p(a) = 167*a**2 - 17*a + 15. What is the tens digit of p(-5)? 7 Suppose -3*g = 4*h - 4, -h + 2 = 3*g - 8. Suppose 2*i + g = 0, i = -3*w - 0*w + 16. Let p = 17 + w. What is the units digit of p? 3 Let b = -133 - -80. What is the tens digit of b/2*(-35 - -29)? 5 Suppose -7*v + 0*v + 2*v = 0. Suppose -10*s + 4 + 536 = v. What is the tens digit of s? 5 Let h be 70/17 - 18/153. Suppose 2*l = -h*w + 80, -l + 4*w = 3*l - 208. What is the units digit of 3/4*(l - 0)? 6 Let i = -620 - -1588. What is the hundreds digit of i? 9 What is the hundreds digit of (-13)/(728/32) + (-47283)/(-21)? 2 Let m be -2 + -1 + 4 + 23. Let t = m - 8. What is the tens digit of t? 1 Let l(i) = -i**2 - 12*i - 4. Let b be (4/(-12))/((-2)/(-54)). What is the units digit of l(b)? 3 Let z = -10 - -11. Let u be z + 0 + 1 - 2. Suppose 5*o - 134 = 4*h, 4*o + u*h - 102 = -2*h. What is the units digit of o? 6 Suppose 0 = w - 3, 2539 = l + l + 3*w. What is the tens digit of l? 6 Suppose -2 + 56 = 2*v. What is the units digit of 9/v + 532/6? 9 Let m = -420 + 2717. What is the tens digit of m? 9 Let h be 140/21*(-1 - -7). Suppose h = 5*l - 85. What is the tens digit of l? 2 Suppose 14304 = -3*f - 5*f. What is the units digit of ((-10)/(-3))/5 - f/18? 0 Let u = 1244 - -983. What is the tens digit of u? 2 Let x be 16/28 + 48/14. Let c(h) = h**2 - 6*h + 8. Let g be c(x). Suppose g*q + 108 = 4*q. What is the tens digit of q? 2 Let k(x) = 2*x. Let t be k(1). Let s = -175 + 171. What is the units digit of (-1 - 4)/(t/s)? 0 Let i = 408 + 478. What is the units digit of i? 6 Let a(z) = z**3 - 17*z**2 + 19*z + 6. Let m = -29 - -45. What is the units digit of a(m)? 4 Let p(y) = 4*y**2 - 3*y - 2. Let u be p(-1). Suppose 7 = u*l - 8. Suppose -5*f + 105 = -4*i - 109, -104 = -2*f - l*i. What is the units digit of f? 6 Let t be ((-3)/(-2))/(6/8). Suppose -t*s = -10*s + 928. What is the hundreds digit of s? 1 Let s be 16/20 - (-42)/10. Suppose -2*n + 3*b = -196, -7 - 13 = -s*b. What is the units digit of n? 4 Let r(n) = n**2 - 3. Let w be r(0). Let l = 1 - w. Suppose 7*k - 2*k + 49 = 3*d, 0 = -3*d + l*k + 44. What is the units digit of d? 8 Suppose 2*n + 3*c = 4*n - 7, 11 = 4*n - 3*c. Suppose 20 = -3*l + 2*b + 3*b, n*l + 2*b = 8. Let m = 35 + l. What is the units digit of m? 5 Let q = -72 + 83. Suppose -q*n + 7*n = -656. What is the hundreds digit of n? 1 Suppose 3*p + 5*t = 2*p + 10, 0 = -4*p + 4*t - 80. Let m = p + 34. What is the units digit of m? 9 Let p(j) = 5*j + 4. Let v be p(2). Suppose 2*n + 46 - v = 0. What is the units digit of (n/8)/(4/(-66))? 3 Suppose 7 - 9 = -a. Let s = 2 - a. Suppose 0 = 5*t + 25, z + s*t - t - 17 = 0. What is the units digit of z? 2 Let v(f) = f**2 + 44*f - 60. What is the tens digit of v(21)? 0 Let c be 2 + 2 - (6 - 5). Suppose 224 = c*s - 5*o - 236, o = -4*s + 621. What is the units digit of s? 5 Let j(l) be the second derivative of -l**4/12 - 3*l**3/2 - l**2/2 - 3*l. Let t be j(-8). What is the units digit of (t - 8)/((-1)/25)? 5 Suppose -2*l + 4*l = y - 4646, 0 = y + 5*l - 4646. What is the tens digit of y? 4 Let k(a) = 208*a**2 + 41*a - 222. What is the thousands digit of k(5)? 5 Let b be (52/8 + -4)*-56. Let x = 226 + b. What is the tens digit of x? 8 Suppose -5*s + 716 = 2*j - 457, 4*s - 938 = -2*j. What is the units digit of s? 5 Suppose 4*s = -5*w + 5983, s + 5*w - 1087 - 420 = 0. What is the hundreds digit of s? 4 Let n(z) = -336*z + 59. What is the units digit of n(-5)? 9 Let r(c) = -c. Let n be r(-11). Let p(m) = m**2 - 4*m - 17. What is the tens digit of p(n)? 6 Let y(f) = f + 175. What is the tens digit of y(37)? 1 What is the tens digit of 12624/18 + -3 + (-16)/(-6)? 0 Let t be ((-2235)/21)/(-5) + 2/(-7). Suppose 0 = 2*z + 5*u - 47, 0 = -3*z + 3*u + 81 + t. What is the tens digit of z? 3 Let j(p) = -9 + 0*p - 14*p + 6*p. What is the units digit of j(-5)? 1 What is the tens digit of ((-2)/5 + 0)*(-2529 - -59)? 8 Suppose -110 = -4*b + 142. What is the units digit of b? 3 Let k = 55 + 39. Let x = 32 + k. What is the hundreds digit of x? 1 Let a(r) = 7*r**3 - 4*r**2 + r + 1. What is the units digit of a(2)? 3 Suppose 0*z + 4*z + 4 = 0. Let w = 3 + 17. Let c = z + w. What is the units digit of c? 9 Suppose -5*y + 3*y - 20 = 0. Let z = y + 19. Let v(x) = x**2 - 6*x + 4. What is the tens digit of v(z)? 3 Let j(g) = 2*g - 11. Let f be j(11). Let u(n) = -n**2 + 20*n - 14. Let o(x) = -x**2 + x + 1. Let m(a) = -o(a) - u(a). What is the tens digit of m(f)? 2 Let a = 595 + -261. What is the units digit of a? 4 Let w = -566 + 2067. What is the units digit of w? 1 Let b(r) be the third derivative of -r**5/60 + r**3/3 - 11*r**2. Let n be b(0). What is the units digit of (3 + -28)*n*-1? 0 What is the units digit of -2*(-5 - 2744/16)? 3 Let c = -145 - -267. What is the units digit of c? 2 Let x be 9/54 - 58/(-12). Let y(n) = 10*n**3 - n**2 - n + 3. Let s(u) = 11*u**3 - u**2 - u + 4. Let m(d) = x*s(d) - 6*y(d). What is the tens digit of m(-2)? 4 Let r be -1 - (-3*6 + -1). Suppose -p + 4*p + r = 0. Let d(b) = b**3 + 7*b**2 + 2*b + 9. What is the tens digit of d(p)? 3 Let u be (-1 + -4)/(-15) - 930/9. What is the tens digit of 42/189 + u*(-4)/9? 4 Let w(z) = z**3 - 6*z**2 - 6*z - 4. Let m be w(7). Let b be 576/5 - m/15. Suppose -f + 4*f - q = b, 4*f - 160 = 3*q. What is the tens digit of f? 3 Suppose 0 = -10*h + 385 + 1785. What is the units digit of h? 7 Suppose 4*v - r - 2036 = 0, -5*v - 22*r = -27*r - 2530. What is the unit
{ "pile_set_name": "DM Mathematics" }
ked without replacement from ooooooootottot? 45/1001 Calculate prob of sequence cjcj when four letters picked without replacement from clcjllljjb. 1/420 What is prob of sequence ff when two letters picked without replacement from {v: 7, e: 2, f: 5}? 10/91 Two letters picked without replacement from {f: 6, l: 4, c: 9}. Give prob of sequence fl. 4/57 Calculate prob of sequence aefe when four letters picked without replacement from {e: 2, f: 1, a: 1, h: 1}. 1/60 What is prob of sequence el when two letters picked without replacement from {l: 4, e: 2, n: 1, i: 3, w: 1}? 4/55 Calculate prob of sequence zzkk when four letters picked without replacement from zkkkkkkzkkk. 1/55 Two letters picked without replacement from bwbuujbbwbwb. Give prob of sequence jb. 1/22 Four letters picked without replacement from qoooqxororrrooooo. Give prob of sequence qqrr. 1/2380 Four letters picked without replacement from {d: 4, a: 5, m: 6}. Give prob of sequence mddd. 2/455 What is prob of sequence xh when two letters picked without replacement from {u: 9, p: 1, h: 2, x: 2}? 2/91 What is prob of sequence lj when two letters picked without replacement from cjjjjltt? 1/14 Three letters picked without replacement from {j: 5}. Give prob of sequence jjj. 1 What is prob of sequence emp when three letters picked without replacement from pipejeeeemjepieeijee? 1/228 What is prob of sequence foo when three letters picked without replacement from voovffooofv? 2/33 Calculate prob of sequence ff when two letters picked without replacement from {f: 4, n: 4, s: 1, k: 7, x: 1}. 3/68 Calculate prob of sequence hqq when three letters picked without replacement from {x: 1, h: 3, q: 5}. 5/42 Two letters picked without replacement from {v: 1, r: 11, j: 4, p: 1, e: 1}. Give prob of sequence re. 11/306 Calculate prob of sequence qppa when four letters picked without replacement from ppqjpjpgagqjqqjq. 1/728 Four letters picked without replacement from {p: 2, w: 11, h: 6}. What is prob of sequence hpph? 5/7752 Two letters picked without replacement from ssssjsiisissiiiism. Give prob of sequence sm. 1/34 Three letters picked without replacement from zoyyoyoyoy. What is prob of sequence zoy? 1/36 Three letters picked without replacement from {b: 4, e: 7, r: 2, c: 3, i: 1}. Give prob of sequence brc. 1/170 Four letters picked without replacement from {h: 2, w: 2, a: 1, y: 1, r: 1}. Give prob of sequence hhar. 1/420 What is prob of sequence qfa when three letters picked without replacement from awqfwwowo? 1/504 Two letters picked without replacement from ypzzzzzezzzzzzyzxe. What is prob of sequence yy? 1/153 Two letters picked without replacement from aymmmaqmyayemaya. What is prob of sequence qa? 1/48 Calculate prob of sequence zzzz when four letters picked without replacement from {z: 10}. 1 Two letters picked without replacement from {o: 4, u: 2, f: 5}. What is prob of sequence uf? 1/11 What is prob of sequence rp when two letters picked without replacement from rprrrprprrr? 12/55 Four letters picked without replacement from {g: 7, n: 5, x: 4}. What is prob of sequence xxxn? 1/364 Three letters picked without replacement from ttootoggtppotoyt. Give prob of sequence too. 1/28 What is prob of sequence pjtp when four letters picked without replacement from {p: 2, j: 4, z: 5, t: 4}? 4/4095 Calculate prob of sequence eba when three letters picked without replacement from ddaeqbbt. 1/168 What is prob of sequence gl when two letters picked without replacement from leyfgkye? 1/56 Calculate prob of sequence su when two letters picked without replacement from {u: 3, s: 1}. 1/4 Two letters picked without replacement from gkwffglgfgglggglgw. What is prob of sequence gg? 4/17 What is prob of sequence jwcw when four letters picked without replacement from {j: 1, b: 2, w: 3, c: 5, s: 6}? 1/1904 What is prob of sequence anww when four letters picked without replacement from {y: 1, l: 1, m: 1, n: 2, w: 1, a: 1}? 0 Two letters picked without replacement from {a: 1, g: 1, m: 1, k: 2, w: 2}. What is prob of sequence kk? 1/21 Calculate prob of sequence nnny when four letters picked without replacement from ynnywkyyykwnn. 1/143 Four letters picked without replacement from {w: 5, a: 2, f: 4}. What is prob of sequence wfff? 1/66 Two letters picked without replacement from dcss. What is prob of sequence sd? 1/6 Three letters picked without replacement from fyyfybbfy. What is prob of sequence byy? 1/21 Four letters picked without replacement from {q: 4, w: 3, t: 6, g: 1}. What is prob of sequence tqtw? 15/1001 What is prob of sequence yryr when four letters picked without replacement from rrrryryr? 1/28 Four letters picked without replacement from {r: 4, t: 1, k: 4, g: 1, i: 2, y: 6}. What is prob of sequence ytyi? 1/1224 Calculate prob of sequence jz when two letters picked without replacement from {j: 2, p: 1, q: 1, m: 2, z: 1, b: 2}. 1/36 Two letters picked without replacement from iqiiiiq. What is prob of sequence iq? 5/21 Calculate prob of sequence ff when two letters picked without replacement from wnfwfwbmwfwmwwwwnwm. 1/57 What is prob of sequence dgdd when four letters picked without replacement from dgdggdgdgd? 5/84 Calculate prob of sequence jg when two letters picked without replacement from rjgib. 1/20 What is prob of sequence gggh when four letters picked without replacement from {g: 7, h: 1}? 1/8 What is prob of sequence ieee when four letters picked without replacement from eemiimme? 1/140 What is prob of sequence iee when three letters picked without replacement from {e: 11, i: 2}? 5/39 Two letters picked without replacement from ccooccccoco. What is prob of sequence oo? 6/55 Three letters picked without replacement from ooodododoododuood. Give prob of sequence udo. 1/68 What is prob of sequence afw when three letters picked without replacement from xfafffwwwaqaawwfpwpa? 5/228 What is prob of sequence vuuu when four letters picked without replacement from vvuvvvuuuvuuu? 21/286 Calculate prob of sequence krw when three letters picked without replacement from aavaarrwwwrrvwwwkw. 7/1224 Calculate prob of sequence akjk when four letters picked without replacement from kklppkjjka. 1/210 Three letters picked without replacement from xrgxmr. What is prob of sequence gxx? 1/60 Two letters picked without replacement from {w: 5, e: 7, c: 7}. What is prob of sequence ww? 10/171 Two letters picked without replacement from {f: 4, a: 2, o: 2, r: 5}. Give prob of sequence ro. 5/78 What is prob of sequence qb when two letters picked without replacement from qbxbhbqvbbbbvq? 3/26 Three letters picked without replacement from zzzznznzzzzzz. What is prob of sequence znz? 5/39 Two letters picked without replacement from {f: 5, z: 1, h: 6, t: 2, v: 5, d: 1}. What is prob of sequence zv? 1/76 What is prob of sequence mh when two letters picked without replacement from hmeehfn? 1/21 Three letters picked without replacement from gnnmkmgmmggkkkg. Give prob of sequence gnm. 4/273 Calculate prob of sequence ezz when three letters picked without replacement from iiiiiiiieizzii. 1/1092 Two letters picked without replacement from mqiqb. Give prob of sequence iq. 1/10 Two letters picked without replacement from {e: 7, t: 2, w: 4, p: 3, c: 2}. Give prob of sequence te. 7/153 Four letters picked without replacement from gacyamg. What is prob of sequence cgma? 1/210 Two letters picked without replacement from {x: 3, b: 3, g: 7, q: 1}. What is prob of sequence qb? 3/182 What is prob of sequence lfb when three letters picked without replacement from {l: 14, b: 2, f: 1}? 7/1020 Calculate prob of sequence zrz when three letters picked without replacement from rdrzzrrzzrz. 10/99 Two letters picked without replacement from nrrnnr. Give prob of sequence rr. 1/5 Calculate prob of sequence wyyy when four letters picked without replacement from wyyyyyyyyyywyyywywy. 455/3876 Three letters picked without replacement from vadvgjj. Give prob of sequence dag. 1/210 What is prob of sequence qq when two letters picked without replacement from gggqqqqqqqgqqqqqqgq? 91/171 What is prob of sequence slj when three letters picked without replacement from {j: 1, l: 2, r: 8, q: 1, i: 3, s: 3}? 1/816 What is prob of sequence urnu when four letters picked wi
{ "pile_set_name": "DM Mathematics" }
- 15, 3*r - 17 = -3*k - r for k. -1 Solve 5*y = -4*i + 6, 3*i - 10 = -5*y + 4*y for y. -2 Solve 0 = 5*v - 4*s, v - 2*s = -v for v. 0 Solve 3*n - 2*n - h = -2, -2 = 2*n - 3*h for n. -4 Solve 5*y + 15 = 0, -3*y + 9 = -2*m + 8 for m. -5 Solve 6*c + 5*l - 3 - 32 = 0, 0 = -5*c + 4*l + 21 for c. 5 Solve -s + 6 = -44*n + 46*n, -5*n - 5*s = -20 for n. 2 Solve j - 4*r = -13, -3*j + 4*r + 0 = 7 for j. 3 Solve 0 = -2*q + f + 3 + 11, 0 = f + 4 for q. 5 Solve 3*u - 21 = -3*t, -3*t - 2*u = -6*u for t. 4 Solve -2*u - 50 = 2*m - 72, -20 = -4*u for m. 6 Solve 0 = -3*z - 15, m - 2*z + 1 = 10 for m. -1 Solve -y + 14*f = 19*f + 11, 0 = -y + 3*f + 13 for y. 4 Solve -m + 14 = 3*m + 3*a, -2*m - 5*a = 0 for m. 5 Solve 3*v - 26 = 21*t - 25*t, t = v + 3 for t. 5 Solve 0 = -4*y, -1 - 1 = 2*w + y for w. -1 Solve -5*b + c + 18 = 0, -7 = 3*c + 2 for b. 3 Solve 16 = 3*n - 3*x - 2, 0 = n + 4*x + 14 for n. 2 Solve 4*g - 5*g - 8 = -2*y, 0 = 2*y - 3*g - 12 for y. 3 Solve 14*s - 17*s - 2*w - 10 = 0, -s - 3*w - 15 = 0 for s. 0 Solve -6 = -2*h - 487*o + 483*o, 0 = 5*h + 4*o - 15 for h. 3 Solve -3*f = -3*y + 9, 2*y = -30*f + 31*f + 2 for f. -4 Solve 5*o = t + 24, -4*o + 8 = -2*o - 2*t for o. 5 Solve 2*d = -3*w - 5, -3*d + w + 4*w + 2 = 0 for d. -1 Solve -4*m + 14 = -3*m - 5*q, -q = 4*m + 7 for m. -1 Solve 0*g + 5*g = -3*p + 16, -p - 4*g + 17 = 0 for p. -3 Solve 3*z - 3*k = 12, -9*z - 3*k = -6*z + 6 for z. 1 Solve t - 22 = -4*h, -h + 0 = -5 for t. 2 Solve 12 = 5*r + 2*l, 3*r - 2*l = -4*l + 8 for r. 2 Solve -4*g = -20, 20*g = 4*s + 17*g + 15 for s. 0 Solve g - h = -2*g + 4, 2*g - h = 3 for g. 1 Solve 10*c - 3 = 4*x + 13*c, 0 = c - 3 for x. -3 Solve 4 = -2*w - 3*d - 0*d, -5*d - 10 = 5*w for w. -2 Solve 3*w = 9, -w + 4 = -4*v - 15 for v. -4 Solve -3*q - 25 = -8*q - 5*p, -3*p = -12 for q. 1 Solve -3*g + 7 = 2*w, -15 = 5*w - 0*g + g for w. -4 Solve -4*k = -3*b + 14, 2 = 5*k - 3*k + 3*b for k. -2 Solve -5*n + 6 = -3*b - 1, -4*n + 6 = -2*b for b. 1 Solve 0 = -8*b + 3*b + w - 6, 0 = -5*b - 3*w - 2 for b. -1 Solve y + r = -2*r - 12, -2*r - 22 = -4*y for y. 3 Solve 4 = -5*s - 4*f, 5 = -4*s + 5*f + 10 for s. 0 Solve -12*w + 15 = -17*w + 5*m, 1 = -w - m for w. -2 Solve -4*p + 9*x = 5*x - 8, 2*p + 5*x + 17 = 0 for p. -1 Solve -4*y + 4*v = 28, v + 0 = -2*y - 2 for y. -3 Solve -w = -0*j + 2*j + 10, j + 2*w = -5 for j. -5 Solve -6*h = 5*r - 11*h - 20, -2*h = 0 for r. 4 Solve n + f + 7 = 0, 19*n - 17*n + 20 = -4*f for n. -4 Solve g - 2*g = -5*u + 15, -2*u + 3*g + 19 = 0 for u. 2 Solve 5*r = -c - 15, 92*c + 5*r = 96*c - 15 for c. 0 Solve -z - z + 17 = 3*i, z + 11 = 5*i for z. 4 Solve 2*n = -5*b - 28, n + 4*b + 0 + 20 = 0 for n. -4 Solve 3*v = -3*u - 15, 7*u = 5*v + 2*u + 25 for v. -5 Solve -2*c + 4 = 2*w, -9 = -4*w - 6*c + 3*c for w. 3 Solve 11*y + 11 = 5*b + 7*y, 5*b + 4*y - 19 = 0 for b. 3 Solve -3*w + 2*u = 1, -4*w + 0*u + 3*u - 2 = 0 for w. 1 Solve 0 = 4*z, 5*z = -v + 3 - 2 for v. 1 Solve 4*w = b - 5, 4*w = 4*b - 0*w - 20 for b. 5 Solve 5*n + 5 = 0, 0 = 2*u - 0*n + 3*n + 7 for u. -2 Solve 3*j + 2*i + 9 = -3, 5*j - 4*i - 2 = 0 for j. -2 Solve 2*c + 16 = -107*z + 103*z, 4*c + 11 = -z for z. -3 Solve 4*h = -2*v + 6, 2*v + 45*h + 2 = 43*h for v. -5 Solve 0 = r - 3 + 8, g + 4*r + 25 = 0 for g. -5 Solve 5*y = 5*u + 15, 6*y - 2*y - 2*u - 12 = 0 for y. 3 Solve -c = -2*o - 13, -c = 3*c - 3*o - 32 for c. 5 Solve -3*h - 76 = -8*s - 30, -s = -4*h - 13 for h. -2 Solve 123*s - 128*s + 26 = -3*f, -4*f = 3*s - 4 for f. -2 Solve n = 4*u, 3*n + u = -7 - 6 for n. -4 Solve 29*g - 26*g + u = -12, 4*u = 0 for g. -4 Solve 0 = -4*n + 5*g - 5, n + 5*g - 14 - 16 = 0 for n. 5 Solve -2*b - 25 = 5*f, -2 = -2*b - 0*b + 4*f for b. -5 Solve -16 = 3*o - 5*h, -8*o + 4*o = -4*h + 8 for o. 3 Solve 5*j = -0*a + 3*a + 11, -3*j - 3*a = 3 for j. 1 Solve -34*g + 6 = -33*g + 5*o, -3 = 2*g - 5*o for g. 1 Solve 5*p + 3*m = -2*m - 15, 5*p - 2*m = 6 for p. 0 Solve -2*a - d - 17 = a, 5*a + 17 = 4*d for a. -5 Solve 0*y + 4*a - 19 = y, -y - 2*a = -5 for y. -3 Solve 4*f - 3*g = 20, 6*f - 5*g - 10 = 4*f for f. 5 Solve -p - 11 = 2*i, 0*i + 3*i - 16 = 5*p for i. -3 Solve 0 = 5*c + 5*x - 22 + 2, -x = 2*c - 5 for c. 1 Solve 0 = -3*g - 2*d - 8 - 0, 0 = 4*g + d + 9 for g. -2 Solve 0 = 2*g - 6*g + 1 - 9, 2*o = 4*g for o. -4 Solve 3*z = 2*n + 4, -5*n - 5*z - 6 - 29 = 0 for n. -5 Solve -7*z + 20 = -3*z, g - 2*z + 9 = 0 for g. 1 Solve -3*n - 12 = -r - 2*r, r = -3*n - 16 for r. -1 Solve -63*l + 4 = -z - 68*l, -z - 4 = -l for z. -4 Solve 0 = 4*d + 8, 0*d + 3*d = -h - 2 for h. 4 Solve -5*m + 3*k = 17, k = 4*k - 12 for m. -1 Solve -2*u + 6*a = 8*a - 2, -2*u - a = -5 for u. 4 Solve 5 = 5*g, 9*g = a + 14*g - 5 for a. 0 Solve 2 + 3 = -v, -3*o - 3*v = 0 for o. 5 Solve 4*o + 5*g - 15 = 0, -g + 10 = o - 6*g for o. 5 Solve -14*l - 8 = 4*q - 12*l, -4 = l for q. 0 Solve 425*n = -3*t + 420*n + 10, 4*t - 23 = 3*n for t. 5 Solve 3*p + 26 = 5*u, 0 = -p + 2*u - 3*u + 2 for p. -2 Solve 2*a = 3*c - 5, 4*a + 11 = 3*c + 4 for c. 1 Solve 4 = -m, 2*b - 22*m + 30 = -27*m for b. -5 Solve -4*u - g + 13 = 0, 3*u + 3*g = 5*u - 17 for u. 4 Solve -15 = -3*v, 20 = -3*d + 5*v - 20 for d. -5 Solve 25 = 3*t - 2*g, -3*g - 5 = -3*t - 5*g for t. 5 Solve 3*d + 6 = 0, -2*r + 4*r = -2*d - 6 for r. -1 Solve -3*f = -2*y + 17, 3*y - 93*f + 90*f - 18 = 0 for y. 1 Solve 4*q - v = -14, 21*q - 22*q + 5*v - 13 = 0 for q. -3 Solve 2*s - 10 = 0, -4*h + 5*s = -19 + 48 for h. -1 Solve 5*l - 4*l = 2, 0 = -4*m + 4*l for m. 2 Solve i + 4*x = 7, -618*x = -623*x + 10 for i. -1 Solve 0 = -3*n - 6*f + 4*f - 20, 5*n = -f - 24 for n. -4 Solve -649*m = q - 644*m - 15, 2*m = 4*q + 6 for q. 0 Solve -a + 3*w = -19, -5*a + w + 1 + 24 = 0 for a. 4 Solve 3*r - 3 = 3*k, -k - 2*k - 4*r - 3 = 0 for k. -1 Solve 2*w = -0*r - 4*r - 22, -2*r = 5*w + 23 for w. -3 Solve 253*n - 250*n = p - 3, -5*p - 23 = 4*n for p. -3 Solve -12 = -5*c - 4*r, 4*r - 326 + 314 = -2*c for c. 0 Solve 0*n - 8 = -4*c - 2*n, 3*c = 2*n + 13 for c. 3 Solve 3*h + 4*m - 2 = 6, 2*m = 2*h - 10 for h. 4 Solve 4*l - 3*d - 10 - 9 = 0, -3*d = 2*l + 13 for l. 1 Solve -v - 8*c + 4*c = -7, -27 = 3*v - 4*c for v. -5 Solve -2*g + 6*g = n - 15, 5*n - 5*g - 15 = 0 for n. -1 Solve z - 2*z - 4*q = -8, -2*z + 2*q + 6 = 0 for z. 4 Solve 135*r - 134*r = 5, 0 = 2*g + 3*r - 21 for g. 3 Solve -m = -s, 4*s - 2*s - 5*m - 9 = 0 for s. -3 Solve 5*c = 2*x - 7, -5*c + x = -2*x + 3 for c. -3 Solve 36*u + 23 = 33*u - 2*n, 2*n + 8 = 0 for u. -5 Solve i - 16 = 5*g + 14, -5*g = 4*i + 5 for g. -5 Solve -3*q = -5*x + 30, 4*q - 99*x = -102*x - 11 for q. -5 Solve 0 = -5*f - k - 27, 5*f + 2*k - 1 = 6*f for f. -5 Solve -v = -30*r + 27*r - 4, -3*r = -2*v + 8 for v. 4 Solve 2*y + t + 3 + 4 = 0, 4*t = -5*y - 16 for y. -4 Solve s + 21*h - 12 = 23*h, 2*s - 2*h - 14 = 0 for s. 2 Solve -4*m + 3*i = -0 - 5, -9 = -5*m + i for m. 2 Solve 3*g - 6*g + 10 = -d, 5*d = -4*g - 12 for g. 2 Solve u = -4*b + 2*b, 0 = u - 2*b + 4 for u. -2 Solve 4*z + 12 = -3*d, 0 = 27*z - 23*z + d + 4 for z. 0 Solve 4*u + 17 = 3*n - 0*n, -u - 2*n + 4 = 0 for u. -2 Solve -2*w + 4 = 0, -5*u - 4*w + 8 = -0 for u. 0 Solve 5*t = -4*o - 1 + 3, 4*t - 2*o = 12 for t. 2 Solve 5*i + 25 = 0, 0 = -5*j - 3*i - 1 - 4 for j. 2 Solve -2*w - 4 = -2*b - 14, 3*b + 7 = -5*w for w. 1 Solve 0 = -i - t + 10, -t = 8*i - 5*i - 20 for i. 5 Solve 2*c + 8 = 0, -10*s + 3*c + 12 = -8*s for s. 0 Solve 0 = -5*u + 4*z + 32 - 24, -3 = -3*u + 3*z for u. 4 Solve -8 = -4*b, 0*f = -8*f + 4*b - 56 for f. -6 Solve 4*r = 2*p + 30, 7*p + r = 2*p + 2 for p. -1 Solve -14*x - 20 = v - 11*x, 3*x + 25 = -2*v for v. -5 Solve 2*r = 3*x + 13, -48*r + 52*r = -5*x - 7 for x. -3 Solve 5*b - 15 = -w, 0 = 3*b - b + 5*w + 17 for b. 4 Solve s = -4*q - 13, 0 = 2*q + 22*s - 17*s - 7 for q. -4 Solve -5*j + 1 = -4*y, -5*j - 11*y - 35 = -6*y for j. -3 Solve -s = 4*t + 21, t = -43*s + 44*s - 4 for s. -1 Solve 48*l - 16 = 44*l - 4*n, 3*l = 2*n + 2 for l. 2 Solve 3*x - 4*w - 8 = 0, -5*x = 9*w - 12*w - 17 for x. 4 Solve 0 = k + 3*t + 18, 0 = 5*k + 2*t + 2 + 23 for k. -3 Solve 0 = 4*x - 5*z - 22, -17 = -4*x + x + 4*z for x. 3 Solve -77 = -3*m + 2*v - 74, -6 = 3*m + v for m. -1 Solve -15*h + 5*y = -18*h - 17, -19 = 4*h + 3*y for h. -4 Solve -9 - 7 = -5*i - 3*n, 3*i = n + 18 for i. 5 Solve -5*t + 5*x - 10 = 0, 4*t + 3*x + 4 = 6*x for t. 2 Solve 4*v = -3*o - 7, -43*v - 4 = -o - 38*v for o. -1 Sol
{ "pile_set_name": "DM Mathematics" }
s picked without replacement from {s: 1, i: 3, o: 9, n: 4, j: 2}? 1/323 Calculate prob of sequence aa when two letters picked without replacement from {a: 17, n: 1}. 8/9 Two letters picked without replacement from {w: 5, i: 1, z: 1, x: 2}. What is prob of sequence xw? 5/36 What is prob of sequence eehh when four letters picked without replacement from eeheeehee? 1/36 What is prob of sequence wnwk when four letters picked without replacement from {n: 4, y: 1, w: 6, l: 1, k: 1}? 1/143 Three letters picked without replacement from {r: 4, x: 15}. Give prob of sequence rxx. 140/969 What is prob of sequence cmi when three letters picked without replacement from {i: 5, o: 6, m: 1, c: 6}? 5/816 Calculate prob of sequence ceqe when four letters picked without replacement from znjcqzqzznzee. 1/4290 Four letters picked without replacement from buakuamme. Give prob of sequence ebmm. 1/1512 Three letters picked without replacement from {f: 4, a: 9, w: 3}. What is prob of sequence awa? 9/140 What is prob of sequence ccs when three letters picked without replacement from ssscckcsskckscccc? 7/85 What is prob of sequence xu when two letters picked without replacement from guuuxxxsuuuxg? 2/13 What is prob of sequence ufm when three letters picked without replacement from {m: 2, u: 1, f: 1}? 1/12 Two letters picked without replacement from vyyytttytv. What is prob of sequence ty? 8/45 Three letters picked without replacement from {m: 3, w: 1}. Give prob of sequence wmm. 1/4 Calculate prob of sequence zjcz when four letters picked without replacement from {z: 2, j: 2, c: 3, g: 4}. 1/660 Two letters picked without replacement from gebjwjyy. What is prob of sequence ey? 1/28 Three letters picked without replacement from rsbrrbrsbbb. What is prob of sequence srb? 4/99 What is prob of sequence eeyv when four letters picked without replacement from {e: 2, y: 1, v: 2}? 1/30 Calculate prob of sequence oott when four letters picked without replacement from ttottttoooot. 7/99 Two letters picked without replacement from ucwjnnnjnknncn. What is prob of sequence nk? 1/26 What is prob of sequence ucc when three letters picked without replacement from urrptrrrtctuttrtrc? 1/1224 Calculate prob of sequence dm when two letters picked without replacement from {o: 1, t: 1, d: 1, m: 1, a: 1}. 1/20 Calculate prob of sequence zz when two letters picked without replacement from zzozzvkzozpv. 5/22 What is prob of sequence ve when two letters picked without replacement from zzvzkevjevkvkkkezvve? 6/95 Four letters picked without replacement from lxlxxllxxxlll. What is prob of sequence lxxl? 21/286 Three letters picked without replacement from {y: 11, e: 2}. Give prob of sequence yye. 5/39 Three letters picked without replacement from {c: 2, d: 2}. Give prob of sequence dcd. 1/6 Calculate prob of sequence rd when two letters picked without replacement from {r: 1, x: 1, u: 2, d: 9}. 3/52 Calculate prob of sequence zm when two letters picked without replacement from {m: 1, y: 1, o: 1, r: 2, w: 8, z: 3}. 1/80 Three letters picked without replacement from {p: 3, i: 9}. Give prob of sequence iii. 21/55 Three letters picked without replacement from orpdpopdososlsd. What is prob of sequence sds? 3/455 Three letters picked without replacement from {u: 1, y: 3, b: 1, p: 2, a: 3, f: 1}. What is prob of sequence pba? 1/165 What is prob of sequence cch when three letters picked without replacement from {h: 3, c: 7}? 7/40 What is prob of sequence bb when two letters picked without replacement from ygbphpi? 0 What is prob of sequence zx when two letters picked without replacement from {x: 6, n: 3, z: 1, a: 4}? 3/91 Four letters picked without replacement from {n: 3, c: 8, r: 7}. What is prob of sequence rnrc? 7/510 What is prob of sequence dvv when three letters picked without replacement from vddvv? 1/5 Calculate prob of sequence aaah when four letters picked without replacement from {a: 3, h: 1, q: 16}. 1/19380 Calculate prob of sequence ehh when three letters picked without replacement from eheeheehheehhhhh. 3/20 What is prob of sequence qqq when three letters picked without replacement from {q: 5}? 1 Three letters picked without replacement from {d: 1, c: 1, s: 4, v: 3, q: 2, t: 1}. What is prob of sequence dss? 1/110 What is prob of sequence vbe when three letters picked without replacement from uhphvbbhhehbp? 1/572 What is prob of sequence zr when two letters picked without replacement from {z: 2, h: 2, c: 10, r: 4, i: 1}? 4/171 What is prob of sequence ydd when three letters picked without replacement from ydyyydycydycyccdy? 9/340 Two letters picked without replacement from pbppyxbeebbbbbxeepb. What is prob of sequence pb? 16/171 What is prob of sequence yddu when four letters picked without replacement from udduduy? 3/140 Three letters picked without replacement from {u: 1, i: 1, r: 2, e: 1, t: 2}. What is prob of sequence ute? 1/105 Four letters picked without replacement from {x: 1, q: 1, m: 1, o: 1, z: 6, l: 3}. Give prob of sequence oqxl. 1/5720 Two letters picked without replacement from umm. Give prob of sequence um. 1/3 Four letters picked without replacement from {m: 5, y: 2}. Give prob of sequence mymm. 1/7 Calculate prob of sequence cwoc when four letters picked without replacement from wcswwnwewwwcwwcocwc. 25/11628 What is prob of sequence xrn when three letters picked without replacement from {r: 1, d: 1, s: 1, x: 1, n: 1}? 1/60 Calculate prob of sequence hhee when four letters picked without replacement from ehhhheh. 1/21 What is prob of sequence aahh when four letters picked without replacement from vavvvavvvvvvhhv? 1/8190 Calculate prob of sequence ba when two letters picked without replacement from {i: 6, b: 7, a: 1, e: 3}. 7/272 Two letters picked without replacement from ojeooeejoffffoejo. Give prob of sequence ef. 1/17 Calculate prob of sequence ya when two letters picked without replacement from ayavfwvl. 1/28 Two letters picked without replacement from cgabw. Give prob of sequence gw. 1/20 Two letters picked without replacement from ljiyiy. Give prob of sequence iy. 2/15 Four letters picked without replacement from {c: 2, s: 1, b: 2, l: 1, j: 3, v: 3}. What is prob of sequence jsjl? 1/1980 Two letters picked without replacement from ibcdiggm. Give prob of sequence mi. 1/28 Calculate prob of sequence ge when two letters picked without replacement from oeuoueogeeuouuuuuoe. 5/342 Three letters picked without replacement from {d: 2, t: 1, a: 1, c: 1, r: 1, o: 2}. Give prob of sequence rtd. 1/168 Calculate prob of sequence ff when two letters picked without replacement from {f: 5, g: 2, x: 6}. 5/39 Three letters picked without replacement from {u: 2, m: 5, g: 4}. Give prob of sequence umu. 1/99 Calculate prob of sequence rm when two letters picked without replacement from myyyyyyllrxhyhhlhhll. 1/380 Three letters picked without replacement from {b: 6, z: 1, l: 5, t: 6}. Give prob of sequence lbl. 5/204 What is prob of sequence tttt when four letters picked without replacement from {t: 5}? 1 Two letters picked without replacement from {y: 1, f: 8, s: 5, e: 2}. What is prob of sequence sf? 1/6 Two letters picked without replacement from xuxqyee. What is prob of sequence uq? 1/42 Two letters picked without replacement from {d: 2, q: 6, x: 2, j: 1, o: 7}. What is prob of sequence jd? 1/153 Four letters picked without replacement from {v: 4, t: 5, l: 8}. Give prob of sequence tvll. 1/51 Calculate prob of sequence wk when two letters picked without replacement from wcwcwckcccwcww. 3/91 What is prob of sequence yg when two letters picked without replacement from bbjbbxybbbxxbgbbxj? 1/306 What is prob of sequence tt when two letters picked without replacement from {t: 9}? 1 Three letters picked without replacement from {c: 1, i: 5, d: 11}. Give prob of sequence iii. 1/68 What is prob of sequence jk when two letters picked without replacement from kxjkjjkjjkkjkj? 3/13 Two letters picked without replacement from {w: 4, k: 2, o: 1, f: 6, c: 3, r: 3}. Give prob of sequence fw. 4/57 What is prob of sequence lk when two letters picked without replacement from ppllslskllpps? 5/156 Three letters picked without replacement from butwtwbwbtwwbwwtbie. What is prob of sequence wbi? 35/5814 Four
{ "pile_set_name": "DM Mathematics" }
+ 278*u + 223)*(5*u + 2*u**2 - 5*u). 556*u**3 Expand -3*i + 10*i - 5*i + (1 - 2 + 0)*(29*i - 5*i + 0*i). -22*i Expand 0*h**2 + 5*h**2 - 1 - 3*h**2 + 6*h**2 + 0*h**2 - 3*h**2 + (82*h - 226*h + 2 + 92*h)*(4*h - h - 4*h). 57*h**2 - 2*h - 1 Expand (1 - 4 + 1)*((2*k - k + k)*(-3 + 3 - 3) - k + 3 - 3 + (-1 - 2 + 5)*(0*k + 0*k - k) - 2*k + 1 - 1)*(-14 + 14 + k). 22*k**2 Expand (0*l - 2*l + l)*(-l + l - l) + 4*l**2 - 9*l**2 - 11*l**2 - 4*l**2 + 15*l**2 + 9*l**2. 5*l**2 Expand (5*m - 5*m - 10*m)*((-4*m**4 - 3*m**4 + 5*m**4)*(-3 + 1 + 0) + 4*m**3 + 2*m**4 - 4*m**3) + (3*m**3 + 2*m**3 - 3*m**3)*(-10*m**2 - 21*m**2 + 7*m**2). -108*m**5 Expand (r**2 + r**2 + 0*r**2)*(9 - 3 - 1)*(72*r - 17*r - 28*r). 270*r**3 Expand (3*j**4 - j**4 + 0*j**4 - j**3 + j**3 - 2*j**4 + (2*j**4 - j**4 - 2*j**4)*(-1 + 2 + 0) + j**3 - j**3 - 5*j**4)*(-39*j + 0*j + 6*j). 198*j**5 Expand (57*f**2 + 1504*f**3 + 19*f**2 - 1505*f**3)*(-f**2 + 3 - 3). f**5 - 76*f**4 Expand (-3 + 2 + 2)*(26*n - 4 + 4)*(2*n + 13*n - 6*n). 234*n**2 Expand (-3*v**2 - 10*v + 4*v**2 + 13*v)*(4*v**3 - 4*v**3 + 2*v**3 + (-3*v**2 + v**2 + 4*v**2)*(2 - 2 - 9*v)). -16*v**5 - 48*v**4 Expand (94*l + 4 - 234*l + 93*l)*(-l + 0*l - l**2 + 9*l). 47*l**3 - 380*l**2 + 32*l Expand (0 - o + 0)*(-13*o**2 - 75*o**2 - 92*o**2). 180*o**3 Expand (-1 + 2 - 2)*(2*o + o + o) + (2*o - 2*o + o)*(0 + 1 + 1) - o + 5*o - 3*o. -o Expand (t**3 - 2*t**3 + 2*t**3)*(-6*t + 4*t + 9*t) + 0 + 0 - t**4 + (-t - 2*t**2 + t)*(0*t**2 + 2*t**2 - 3*t**2). 8*t**4 Expand (0 - 1 + 2)*(2*r + 5*r - 4*r)*(2 - 6 - 3). -21*r Expand (4 + 0 - 5)*(-2*q - q + 5*q)*(-240 - 330 + 785). -430*q Expand (m + m + 4*m)*(m - m + m**2) + m**2 + m**3 - m**2 + (-2 - 3*m + 2)*(-m + m + 4*m**2) - m - m**3 + m. -6*m**3 Expand (-5*t + 3*t + 4*t)*(178 + 100 - 15)*(3*t**4 - 4*t**4 + 3*t**4). 1052*t**5 Expand (-8*m**2 + 3*m**2 + 6*m**2)*(17770*m + 5*m**3 + 1 + 5*m**2 - 17770*m). 5*m**5 + 5*m**4 + m**2 Expand (-1 - 3*h**3 + 1 + (3 - 3 + h)*(-h**2 + 0*h**2 + 2*h**2) - 5*h**3 - h**3 - 8*h**3)*(7 + 9 - 8) - 2*h**3 + h**3 + 2*h**3. -127*h**3 Expand (2*q**3 - q**2 + q**2)*(0*q + 0*q - 2*q) + (-3*q**2 + 8 - 8)*(20 - 4*q**2 - 20). 8*q**4 Expand -3*n**2 + 3*n**2 + 5*n**2 + (n**2 + 0*n**2 + n**2)*(-4 - 3 + 5) + 11*n**2 + 17*n**2 + 4*n**2. 33*n**2 Expand (z + 3*z - 3*z)*(1 - 5 + 2) + z - 2*z - z + 333 - 93*z + 183*z - 89*z. -3*z + 333 Expand (-3 - 3 + 2)*(7*s + 6*s - 5*s)*(-1 + 4 - 4)*(-2*s - 3*s + 6*s). 32*s**2 Expand (-n + n + 2*n)*(27*n - 116*n**2 + 223*n**2 - 106*n**2). 2*n**3 + 54*n**2 Expand f**2 - 1 - 242*f**3 + 0 + 239*f**3 + (-2*f**2 + 0*f**2 - f**2)*(3*f - f - 4*f). 3*f**3 + f**2 - 1 Expand -3*a - 2*a + 4*a + (-3 + 0 + 6)*(-52*a - 6*a - 20*a). -235*a Expand (13*k**2 - 37*k**2 + 12*k**2)*(k - 3 + 3) + (4 + 0 - 1)*(3*k**3 + 0*k**3 - 4*k**3). -15*k**3 Expand (-2*w + 0*w + 3*w)*(-4 + 1 - 5) + (60 - 60 + 2*w)*(3 + 0 + 0). -2*w Expand (0*a - 4*a + 5*a)*(1 + 1 - 3) + (0 - 2 + 0 + (2 + 3 - 6)*(-1 + 4 - 4) - 1 - 2 + 2 - 3 + 6 - 2 + 1 + 2 + 3)*(-2*a + 5 - 5). -11*a Expand -13*z**3 - 369*z + 369*z + (2*z - 2*z**3 - 2*z)*(-4 - 1 + 4) + (-1 + 4 - 1)*(-2*z**3 + 4*z**3 - z**3). -9*z**3 Expand (u**2 - 2*u**2 - u**2)*(3*u**2 + 0*u**2 - 2*u**2) - u**4 - 5*u**4 + 5*u**4 - 17*u**4 + 3*u**4 - u**4. -18*u**4 Expand (5*p - 2*p - 5*p + (5*p + p - 4*p)*(3 - 10 + 1))*(2 - 2 + 5*p). -70*p**2 Expand -74*r**2 + 4*r**4 + 74*r**2 + (0*r + r + 3*r)*(0*r**3 + 4*r**3 - r**3). 16*r**4 Expand -2*t**2 - 3*t**2 + 3*t**2 + (0*t - t + 2*t)*(-4*t - 2*t + 4*t) - t**2 + 0 + 0 - 7*t**2 + 2*t**2 + 3*t**2. -7*t**2 Expand (-3*i + 3*i - 3*i)*(-76*i + 165*i - 214*i). 375*i**2 Expand -h + 0*h + 0*h + (79 + 123 - 158)*(h + 0*h + h). 87*h Expand (2*m**2 + 5*m**2 - 5*m**2)*(13*m**2 + 10*m**2 + m**2) - 2*m**4 + m - m. 46*m**4 Expand (-2*b + b + 0*b)*(2 - 3 + 2 + (0 + 3 - 5)*(0 - 5 + 4))*(-37 + 58 + 126). -441*b Expand -2 + 2 - 3*v + (4 - 4 + 2*v + 0*v + 2*v + 0*v + (4 - 3 - 2)*(5*v - 3*v - 3*v) - v + 3*v - v)*(3 - 2 - 3). -15*v Expand (0 + 2 + 0)*(6 - 6 - 79*t)*(-3 + 3 - 1). 158*t Expand (2*c**2 + 6*c - 6*c)*(-32*c - 70*c**3 + 32*c) + c**3 + 0*c**3 - 4*c**5 + 3*c**5. -141*c**5 + c**3 Expand 0*s - 5 + 28 + 2*s + (3 - 3 - 2)*(s + 2*s - 4*s) + (-2*s + 4 - 4)*(-11 - 10 + 3). 40*s + 23 Expand (-4 + 5 - 2)*(40 + 5 - 4)*(6*z**2 - z**2 - 3*z**2). -82*z**2 Expand (5 - 3 - 1)*(14*a + 12 + 15756*a**2 - 2*a**4 - 6*a - 15754*a**2). -2*a**4 + 2*a**2 + 8*a + 12 Expand -2*r + 4*r + 0*r + (0*r - 4*r + 2*r)*(-58 + 0 - 18). 154*r Expand (-3*i**2 + 4 - 4)*(102*i - 21*i + 55*i)*(-2 - i + 2). 408*i**4 Expand 0*n + n**2 + 0*n + (0 + 3 - 4)*(n**2 + 12*n**2 - 10 + 3). -12*n**2 + 7 Expand ((-s**2 + 0 + 0)*(1 - 4 + 1) - 7*s**2 - 6*s**2 + 16*s**2)*(94*s - 106*s - 4 + 6 + (5 - 2 - 1)*(-5*s + 2*s + 2*s) + s + 2*s - 2*s). -65*s**3 + 10*s**2 Expand ((3 - 1 - 1)*(2 - 1 - 2) + 2 - 2 - 2)*(0*j + j - 2*j)*(j**3 + 3*j**3 - 2*j**3 + (3*j - 4*j + 0*j)*(0*j - 2*j**2 + 0*j) + 27*j**3 + 239*j - 239*j). 93*j**4 Expand (-3 + 2 - 1)*(-5*n - n + 4*n) - 7 + 7 + n + 3*n + 3*n - 2*n + (0 + 2*n + 0)*(2 + 3 - 6). 7*n Expand (-2 - 4 - 32*r + 5)*(2*r - r - 2*r)*(12*r**2 - 2*r + 3*r**2 - 2*r**2). 416*r**4 - 51*r**3 - 2*r**2 Expand (-7*y**3 + y**3 - y**3)*(3*y - 6*y - 2*y) + 9*y**4 - 7*y**2 + 7*y**2. 44*y**4 Expand (-19*u**2 - 2 + 2)*(2 - 5 - 1)*(4*u**2 + 0*u**2 - 3*u**2). 76*u**4 Expand (296*i + 538*i**3 - 296*i)*(0*i + i + i). 1076*i**4 Expand -12 + 2*m**2 + 6 + 10 + (1 - 1 - m)*(0*m - 4*m + 3*m). 3*m**2 + 4 Expand (-2*l + 2*l - 7*l)*(6*l**3 - l**3 + 7*l - 4*l**3) + 2*l - 9*l**4 + 8*l**4 - l. -8*l**4 - 49*l**2 + l Expand (-5*t - 11*t - 3*t + 16 - 16 + t + (2*t - t - 3*t)*(0 + 1 + 1))*(-3*t**4 + 3*t**4 + 2*t**4). -44*t**5 Expand (10*x**4 + 52*x - 52*x)*(-8 - 3 + 0)*(-3 + 5 - 1)*(-1 + 2 + 0). -110*x**4 Expand (0*g + 3*g - 2*g)*(-5 - 4 + 5) - 6*g - 3*g + 2*g. -11*g Expand 2*s**2 + 0*s**2 - s**2 + (-2*s + 0*s + 0*s)*(-s + s - 2*s) + (20 - s**2 - 20)*((2 - 5 + 2)*(0 - 5 - 3) - 4 + 5 - 3). -s**2 Expand (-3*c**3 + 3*c**3 - 5*c**3)*(-49*c**2 - 8 + 8 + 9*c**2). 200*c**5 Expand 16 - 7 + 4 + 2*y - 2*y + y + 0*y + (-2*y - 1 + 1)*(2 - 2 + 2) + 0*y + 2*y - 3*y - 3*y + 7 - 7 + (4 - 4*y - 4)*(-1 + 2 - 3). y + 13 Expand -1247*h**2 + 135*h**2 + 558*h**2 + (0*h**2 + 0*h**2 + h**2)*(4 - 3 - 2) + h**2 - 1 + 1. -554*h**2 Expand (2*o**3 - 2*o**3 + o**3)*((-10*o - 9*o + 11*o)*(2 - 2 + 2) + (0 + 4 - 1)*(o + 2*o - 6*o)) + (0*o**3 - o**3 + 2*o**3)*(4*o - 6*o + 3*o). -24*o**4 Expand (-l**4 + 3*l**2 - 3*l**2)*(4 - 8 - 3) - l**4 + 4*l - 4*l. 6*l**4 Expand (-56 + 0 + 16)*(1 - 1 - 5*z). 200*z Expand ((-2*i + 4*i + 0*i)*(3 - 4 + 3) + 2*i - 2*i + 4*i)*(8*i - 8 + 8)*(-i + i - 2*i**2). -128*i**4 Expand -1 + o**4 + 1 + o**4 + 2*o**4 - 2*o**4 + (-3 + o + 3)*(-3*o**3 + 5*o**3 + 0*o**3) + 2*o**4 + 4 - 4 - 321809 + o**2 + 321809 - 63*o**4. -57*o**4 + o**2 Expand (1 + 0 - 3)*(-2*g**3 - 2*g**3 + g**3) + (-9*g - g + 2*g)*(-g**2 - 4*g**2 + 2*g**2). 30*g**3 Expand (-c**3 + 0*c**3 + 0*c**3)*(-2 + 0 + 4)*(4*c - c + c)*(22*c + 10*c - 44*c). 96*c**5 Expand (-4 - b + 2 - 2*b)*(18*b + 11*b - 14*b)*(-5 + b + 5). -45*b**3 - 30*b**2 Expand 2*d - 2*d - 2*d + ((2 + 3 - 6)*(-2*d + 1 - 1) + d + 0 + 0)*(1 + 2 - 6)*(0 - 1 - 1). 16*d Expand (k - 2*k + 4*k)*((-k - 3*k + 6*k)*(-5*k + k + 2*k) - 4*k**2 - 71*k**2 - 44*k**2)*(2 - k - 2). 369*k**4 Expand (-268*f**2 - 82*f**2 - 233*f**2)*(0*f + f + 0*f) + 2 - 2 - 2*f**3. -585*f**3 Expand f + 8 - 8 + (-3 - 1 + 2)*(-3*f - 3*f + 4*f) + f + 0*f - 3*f + (2*f + 0*f - f)*(0 + 1 - 3) + f + 4*f - f. 5*f Expand (-3*q**2 - 1 + 3*q**2 - q**4)*(2 + 36 + 2). -40*q**4 - 40 Expand (0*t + 2*t - 4*t)*(3*t**4 + 2*t**4 + 2*t**4) + (7*t**4 - 4*t**4 - 2*t**4)*(-1 + 1 - 2*t). -16*t**5 Expand 4 - m**3 - 4 + (2*m**2 - 7*m**2 - 2*m**2)*(-2 + 2 - 3*m) + 1 - 3*m**3 - 1. 17*m**3 Expand (0*m + m + m)*(-2*m**4 + 3*m**4 - 3*m**4) - m**3 + m**3 + m**5 + 123*m**5 + 134*m**5 - 7*m**3 - 255*m**5. -m**5 - 7*m**3 Expand ((-86 - 78 - 67)*(1 - 2*q - 1) + 4 - 4 - q)*(0*q + 0*q - 2*q**2). -922*q**3 Expand -11*d**5 - 10*d**5 + d**5 + (2*d + 0*d + 0*d)*(d**4 + 2*d**4 - 2*d**4) - 6 + 6 - 3*d**5. -21*d**5 Expand (-6*o**2 + 5*o**2 - 5*o**2)*(12 - 18 - 15 - 4*o). 24*o**3 + 126*o**2 Expand (-2*x + 3*x - 2*x + (-1 + 4 - 5)*(-3 - x + 3))*(3 + 5 + 2). 10*x Expand -2*u**5 + 2*u**5 - u**5 + (3*u - 3*u + 2*u**5)*(-4 - 1 + 4) + (-8*u**3 + 8*u**3 + 4*u**4)
{ "pile_set_name": "DM Mathematics" }
ich is greater: 5 or s? 5 Let f be ((-2)/7)/(-1) - 33/140. Are f and 0 non-equal? True Let i = 22 + -14. Let g be (i/(-42))/((-2)/6). Which is bigger: g or 1? 1 Suppose 5*g - 4 = 1. Let n = -3 - 2. Is n at least as big as g? False Suppose 2 - 4 = -b, 5*n - 5*b - 5 = 0. Which is greater: n or 28/9? 28/9 Let z = 20 + -19.8. Is -5 greater than z? False Let u = 119.9 + -114. Let v = -9 + 15. Let d = v - u. Which is bigger: d or 2/9? 2/9 Suppose -o + 5 = -0. Which is greater: o or 46/9? 46/9 Let u = 5 + -2. Let h be -1 - (-5)/u - 0. Is h equal to 1? False Let y be (2 + -2)/((-15)/(-5)). Which is bigger: y or -8? y Let l = -5.9 + 11. Let c = l - 5. Is c >= -0.01? True Let k be (-10)/(-40) - (-410)/(-8). Let w be -2 - (k/21)/1. Is w <= -1? False Let c = 15 + -13. Which is bigger: c or 6? 6 Let g(m) = m**2 - 2*m + 2. Let a be g(3). Let q = 3 - a. Is q > -6/7? False Let n be 5/(-20) + 1/4. Let a be (24/(-10))/((-6)/(-148)). Let j = -59 - a. Which is greater: j or n? j Suppose -2*y - 40 = 8. Let a be (-4)/6 - (-8)/y. Let s = 1 - 3. Which is smaller: s or a? s Let y = -13.72 + -1.18. Let h = y + 15. Which is greater: 0.7 or h? 0.7 Let y(z) be the first derivative of 0*z - 1/3*z**3 + 1/2*z**2 + 1. Let u be y(1). Is 3/4 greater than u? True Let l(p) = p**3 - p**2 - 7. Let f be l(3). Is f greater than 12? False Let n be (-3)/(-15) + (-2)/10. Suppose s = 2*v + 2*s, n = -3*v - 3*s. Is -1/4 != v? True Let r(d) = -d**3 - 3*d**2 - 4*d - 7. Let l be r(-3). Do l and 26/7 have different values? True Suppose h + 3*h = 4. Let f(g) = g + 5. Let m be f(7). Suppose 4*x - x - m = 3*k, 5*k - 3*x + 10 = 0. Is h smaller than k? False Let d be (0/1)/(-2 + 0). Let n = -0.01 - -1.01. Which is bigger: n or d? n Let o be (-1)/6*(-18)/10. Let k(j) = 2*j - 4. Let z be k(6). Suppose -2*v - 5*h - 23 = 0, 0*v = -3*v + h + z. Do o and v have different values? True Suppose 4*h + 48 = 4*d, -2*d + 37 - 9 = -3*h. Is d smaller than 9? True Let q = 14 - 15. Which is smaller: -5 or q? -5 Let n be 0/(-1) - 1198/8. Let f = -149 - n. Is 2 bigger than f? True Suppose -24 = -5*s + 1. Suppose -m + 4*m = f - 4, -s*m - 8 = -3*f. Which is smaller: -2 or f? -2 Let m = 0.68 + -0.08. Let g = -0.1 + m. Let d = 0.4 - g. Is 3 greater than or equal to d? True Suppose 0 = 5*c + 14 + 11. Are c and -5 non-equal? False Let q(p) = p**2 - 12*p - 8. Let w be q(12). Let g(j) = 5*j + 5. Let x(c) = 11*c + 9. Let v(i) = -9*g(i) + 4*x(i). Let r be v(w). Is 0 < r? False Let u(v) = v**2 + 3*v - 5. Let k be u(-4). Let s(a) = -4*a - 9. Let y(g) = 7*g + 17. Let o(j) = -5*s(j) - 3*y(j). Let p be o(-7). Is p at least k? True Let q(l) = -l**3 + 3*l**2 + 5*l - 1. Let v be q(4). Suppose -8*g = -3*g. Suppose i - 2*i + v*d - 8 = 0, g = 4*i + 5*d - 19. Which is bigger: i or 0? i Suppose -14*j + 7*j = 98. Which is greater: j or -13? -13 Let q = -9.04 + 0.04. Let s = q - -7. Is s greater than or equal to -1? False Let z = -0.03 + -5.97. Let l = z + 4. Which is greater: l or 0.1? 0.1 Let m be (14/3 - 4)*(-117)/(-6). Is m at most as big as 11? False Let u be (-1 + 4 + -3)/(-1). Let z = -39/5 - -8. Is u > z? False Let a be (-3)/12*-4*-1. Which is smaller: a or 1/27? a Let s be ((-1)/(-3))/((-3)/(-18)). Let k = -0.32 + 0.12. Is s at most as big as k? False Suppose 3*i - j = -15, 18 = -4*i + 4*j - 2*j. Are -7 and i non-equal? True Suppose 3*c = 6*c + 3. Is c equal to -2? False Let p = 7 + 4. Is 9 smaller than p? True Let s = 0.2 - 0. Let r be (-8)/(-45) + (-4)/10. Are r and s equal? False Suppose f - 2*f - 1 = 0. Which is smaller: 2/41 or f? f Let y = 4/41 + 103/205. Which is smaller: y or 2? y Let o(w) = -w**2 - 6*w + 5. Let j be o(-6). Suppose 5*p = 5*h + 40, -28 - 7 = j*h - 4*p. Suppose 4*q + 12 = -0*q. Do q and h have different values? False Let x be 0/6 + (-1 - 4/(-2)). Is 2/31 greater than or equal to x? False Suppose 0 + 1 = x. Let s be (4/18)/(2/(-78)). Let g = -179/21 - s. Is x bigger than g? True Let q be -1*(-1)/(-3)*-15. Suppose 5 = -q*t - 10. Let d(s) = s**2 - 7*s + 6. Let l be d(5). Is l smaller than t? True Let a(v) = v + 2. Let c be a(-2). Suppose c*j = -4*j. Is j less than or equal to -1/5? False Let v = -1 + -1. Is 1 smaller than v? False Let i = 149 - 3723/25. Let v = i - 0. Which is bigger: v or -1? v Let x be 33/(-44) - 218/8. Let j = 37 + x. Is 1 less than j? True Let w(y) = -y**3 - 4*y**2 - 2*y + 3. Let a be w(-3). Suppose a = -4*g + 9 + 3. Suppose -2*u + 0*z + g*z - 29 = 0, -2*u = -2*z + 24. Which is bigger: -6 or u? -6 Let d be (18/15)/(1/5). Let h(t) = -t**3 + 3*t**2 + 5*t. Let j be h(4). Suppose d + 6 = -j*x. Does -3 = x? True Let y be (((-30)/(-36))/5)/((-1)/4). Which is smaller: y or -1? -1 Suppose -14 = j + 5*h, -3*j - h = -7*j + 28. Suppose l - 10 = j*l + 3*f, -f = l + 4. Let u be (-2)/((-4)/((-8)/22)). Which is bigger: u or l? l Let g = 5 + -6. Are g and -1/3 equal? False Let w = 1202 + -1191. Let x be 1 + 1/(-1) - -12. Which is bigger: w or x? x Let o(b) = -2*b - 3. Let n be o(-2). Let c = -1 + 2. Is c smaller than n? False Let z = -0.06 + 0.16. Are z and 15 non-equal? True Let k = 33/532 - 1/28. Are 1 and k unequal? True Let k = 0.09 - 0.16. Let v = 2.93 - k. Is v less than 1/4? False Suppose 5*r = 2*u + 17, -5*u = 3*r - 4 - 0. Let a(h) = -h**2 + 14*h + 52. Let g be a(17). Is r at least g? True Let p(y) = -y**2 - 4*y + 17. Let b be p(-8). Is b <= -15? True Let c(g) = -g**3 - 6*g**2 - g - 7. Let v be c(-6). Let y(o) = -o**3 + 5*o**2 + 2*o - 7. Let u be y(5). Let w be -2*u/210*2. Which is smaller: w or v? v Let g = 1.68 + 0.12. Let w = 1.9 - g. Is w >= -0.08? True Let l = -47 + 24. Let v be (l/(-3))/(8/6). Let t = v - 6. Is -1/2 <= t? True Let m = -4 + 3. Which is smaller: 1/6 or m? m Let j(m) = m**3 + 6*m**2 - 7*m - 14. Let t be j(-7). Suppose 5*z + 32 + 38 = 0. Do t and z have the same value? True Let t be 3/(-3) - (-52)/56. Does -1 = t? False Suppose 0 = -i - 1 + 4. Let y be ((-1)/(-2))/(3/(-2)). Which is bigger: y or i? i Let x be 2 + ((-102)/4 - 2). Let i = -26 - x. Do 0 and i have the same value? False Let j(v) = -2*v - 6. Let h be j(-5). Is h not equal to 13/3? True Let d be (-490)/12*(-2)/(-40). Let x = -18/109 - -1779/872. Let b = x + d. Which is smaller: b or 0? b Let p be (-282)/105 + 3 - 0. Let v = p - 4/35. Is v not equal to 1/3? True Let o be 1 + (8*-1 - -1). Which is bigger: o or -5? -5 Let k = 6 + -12. Let z be ((-2)/3)/(1/k). Let a be (-87)/(-30) - 2/5. Is z greater than a? True Let v = -36490/31 + 1177. Let k = v + 58/279. Which is greater: 1 or k? 1 Let a(i) = -i**3 + 9*i**2 - 7*i - 4. Let x be a(8). Which is bigger: -1 or x? x Let z be 4101/420 - 6/(-21). Let s = 41/4 - z. Suppose -3 = -4*g + 1. Which is bigger: s or g? g Let w = -1 - -1.1. Let x = 18.1 + -19. Let a = w - x. Which is greater: a or -4? a Let a = -115/6 + 19. Let o be (-3 + 32/12)*-3. Is o at most as big as a? False Let f = -5 + 4. Let u be f/1*(-6)/(-58). Let l = u - -79/203. Which is smaller: l or 0? 0 Let k be (-381)/(-99) - (-10)/(-55). Is k at least as big as 1? True Let y be (114/12)/((-2)/4). Does 2 = y? False Let b be (-84)/(-30) - 1/(-5). Suppose 11 - 2 = -b*j. Is -2 equal to j? False Let p be 6/14 + 148/(-476). Which is bigger: p or -0.3? p Let j be (1 - -1)/2 + -2. Let z be 4/(-2 + 1 + 0). Let g be z/12 - 2/(-6). Which is greater: g or j? g Let g be -44 - -4*2/4. Let h be (7/g)/((-2)/(-8)). Let w = 1.94 + 0.06. Is h equal to w? False Let f(a) = -a**2 + 11*a - 9. Let y be f(10). Which is smaller: y or 0? 0 Let d be 42/(-8) + (-9)/12. Which is smaller: -4/7 or d? d Let c = 58 - 56. Let t = 5 - 3. Suppose -4*v + 13 = t*r - 9, 12 = 3*v. Which is smaller: r or c? c Let i = -17 - -7. Let y(d) = d + 14. Let l be y(i). Is 5/2 > l? False Let i = -10.948 - -11. Which is smaller: i or 0.1? i Let b = 1.94 + -2. Let x = b - -3.06. Which is smaller: x or -1/5? -1/5 Let p(h) = -h**2 - 21*h - 26. Let z be p(-18). Which is bigger: z or 27? z Let u(b) = 3*b + 3. Let a be u(-2). Let p be 2/6 + (-2)/a. Let s = p - -1. Which is smaller: -1 or s? -1 Let t be 8 + -8 + (1 - -1 - 2). Is t bigger than -1/105? True Let p(l) = -l**2 + 6*l - 2. Suppose 0*h + m = h - 5, 2*m = -3*h. Suppose h*v + 15 = u, 3*u = -2*v - v. Let i be p(u). Which is smaller: 7/3 or i? 7/3 Let c be -1 + -4*(-1)/1. Let r(j) = -7*j - 1. Let b be r(-1). Let i be (
{ "pile_set_name": "DM Mathematics" }
636853 - 637182.00608. Let v = b + 329. What is v rounded to 3 dps? -0.006 Let x = 427 - 428.142. Let c = 1.14200569 + x. What is c rounded to 7 decimal places? 0.0000057 Let d = -74989558397.00000839 + 74989557351. Let q = d + 1046. Round q to six decimal places. -0.000008 Let z = 0.033202198 - 0.0332. What is z rounded to 7 dps? 0.0000022 Suppose 13*d = 11*d + 10. Let a be ((-3)/2)/((-138)/24 + d). Suppose -2*c + 0*c = -4*t - 10, 0 = 2*c + a*t - 28. Round c to the nearest 10. 10 Let i = 520.7285135 + 5129.2686455. Let g = i - 5650. Round g to three decimal places. -0.003 Let h = -2931 + 4352. Let m = -1421.00001182 + h. Round m to six dps. -0.000012 Let b = -176 + 89. Let s = 75.9 + b. Let d = 11.0999943 + s. What is d rounded to 6 decimal places? -0.000006 Let q be 3/9*-4*(-120)/16. Let v be 160439783/21 + q + 2/6. What is v rounded to the nearest one million? 8000000 Let a(j) = j**2 + 20. Let u be a(-3). Let n be 128404/6 - (-4)/(-6). Suppose 28*g - u*g = n. What is g rounded to the nearest ten thousand? -20000 Let z = 31.9 + 43.8. What is z rounded to the nearest 100? 100 Let o = -2056.5056051 - -2056.5. What is o rounded to 4 dps? -0.0056 Let a = 364.8312 + -358.57. Round a to 2 decimal places. 6.26 Let t = 0.5 + 8. Let h = -329.5 + t. Let w = 319.31 + h. Round w to 1 decimal place. -1.7 Let k = 29291 + -20898. Let g = k - 8339.17. Round g to the nearest 10. 50 Let l = -0.051 - -0.092. Let f = 0.516 + -3.175. Let w = l - f. What is w rounded to 0 decimal places? 3 Let g = -9.469 - 0.031. Let l = 2079.472053 - 2088.9721. Let r = g - l. Round r to 5 dps. 0.00005 Let n = -13060.31 + 1323.51. What is n rounded to the nearest one hundred? -11700 Let a = 0.0738 + -1.3018. Let d = -0.296 - a. Let h = 0.9 - d. Round h to two dps. -0.03 Let o = -3867 - -1725. Let v = o - -2141.99998727. What is v rounded to six decimal places? -0.000013 Let g = 22 - -13. Let n = 94219 - 94183.9972. Let q = n - g. What is q rounded to 3 decimal places? 0.003 Let i = -288.52 + 287.0801. Round i to one decimal place. -1.4 Suppose -7*k - 870 = -15962. Let b = 8584 - k. Let v = -3848 + b. Round v to the nearest one thousand. 3000 Let f be ((-1 - 1) + 369/(-3))/1. Let n be (-1525)/((-5)/f*(-1)/(-32)). Round n to the nearest one million. -1000000 Let x = 5296.00003596 + -5296. Round x to five dps. 0.00004 Let t = 59 + -58.4. Let x = -5 + 3.6. Let l = x + t. Round l to 0 dps. -1 Let n = -170733907 - -170733438.0000144. Let b = 469 + n. Round b to six dps. 0.000014 Let g = 0.076268 - 0.0485. Round g to three decimal places. 0.028 Suppose -447741000 = 1809*b - 1802*b. What is b rounded to the nearest one hundred thousand? -64000000 Let u be ((-303)/15 + 1)/((-34)/3967375). Suppose 40*d - 43*d = u. What is d rounded to the nearest 100000? -700000 Let d be (-49115)/(-15) - 3 - (-164)/(-123). Round d to the nearest 10000. 0 Let f be (0 + (-778701)/9)*(-60)/(-210)*-300. What is f rounded to the nearest 1000000? 7000000 Let m = -0.044 - 0.058. Let i = -0.015 - m. Let f = -0.08739 + i. What is f rounded to 4 dps? -0.0004 Let t = 17 + -16.855. Let c = -0.02 + t. What is c rounded to one dp? 0.1 Let j = -1396.900093884 - -1396.9. What is j rounded to 7 decimal places? -0.0000939 Let l = 1.12965 - 1.2408. What is l rounded to two dps? -0.11 Let n = -0.1318 - -0.105. Let r = -10 + 9.9971. Let t = n + r. Round t to 3 decimal places. -0.03 Let q = -1199561.399405 - -1199559. Let a = -2.4 - q. Round a to five dps. -0.0006 Let n = 10.3 - -3.6. Let g = -15 + n. Let o = g - -1.100186. What is o rounded to five dps? 0.00019 Let t = 10295.41 - 9615. Let a = -2910 + 2223. Let f = t + a. Round f to one decimal place. -6.6 Let q = 48 + -44. Suppose 75904 = -3*u - 2*n, q*u + 5*n - n = -101208. Round u to the nearest 1000. -25000 Let o = 2187.59 + -3787.02. Let c = -1609 - o. Round c to zero decimal places. -10 Let v = -472066 - 274134. What is v rounded to the nearest 10000? -750000 Let y = -0.046879 - -785.425879. Let r = y + -785. Round r to one dp. 0.4 Let h = 73 - 888. Let g be 110/(-6)*2115/(-75). Let p = h + g. What is p rounded to the nearest ten? -300 Let l = -2544 + 21466. Let z(c) = c**3 + 27*c**2 + 181*c - 12. Let k be z(-14). Suppose 0 = -k*m - l - 55078. What is m rounded to the nearest 10000? -40000 Let n(o) = 649*o**2 + 3*o + 27. Let a be n(10). Let m = 627957 - a. What is m rounded to the nearest 100000? 600000 Let z(y) = -1 + 12*y - 7*y - 3*y + y**3 - 5*y + y**2. Let d be z(-2). Let u be (-9 - d)*424/2. Round u to the nearest one hundred. -2100 Let g = -3936.981023148 - -827.981019451. Let p = g + 3109. Round p to seven decimal places. -0.0000037 Let y = -92 + -87. Let q = -16338.0178 - -16159.05. Let m = q - y. Round m to 2 dps. 0.03 Let r = 8134 + -5409. Let o = 2725.00001281 - r. What is o rounded to six dps? 0.000013 Let d = -68.93 - -68. Let w = 0.17 - d. Let c = w - 6.9. Round c to the nearest integer. -6 Let h = -8024 - -8025.6636. What is h rounded to 1 dp? 1.7 Let j = 243.7 + 270.5. Let r = j - 514.14977. Let x = 0.05 - r. Round x to 4 decimal places. -0.0002 Let o = 21660 + -21660.000043356. What is o rounded to six dps? -0.000043 Suppose 3*o + 14 = -2*n - 1, -25 = 4*n + 5*o. Suppose 12 = 3*v - n*v, -4*u + v = -56. Let a be (-3)/(-9) + 128995/u. What is a rounded to the nearest 1000? 9000 Let m = 11914 - 11914.12584. Round m to three dps. -0.126 Let c = 5.6 - 49.6. Let b = 24.1315 + -68.13054. Let k = c - b. What is k rounded to four dps? -0.001 Let l be -100410*(12/52 + 805/(-897)). Round l to the nearest one thousand. 67000 Let t = -19.2 - -19.7453. What is t rounded to 2 decimal places? 0.55 Let l = -17.0235893 + 17.230588567. Let r = -0.207 + l. Round r to seven decimal places. -0.0000007 Let z(i) = -2*i**2 - 28*i + 5. Let v be z(-14). Suppose -3*c = -3*t - v*c - 83280, -138800 = 5*t - c. What is t rounded to the nearest 1000? -28000 Let f = -44 - -41.1875. Let w = 4.62 - 7.42. Let l = f - w. Round l to three dps. -0.013 Let h = -18.5 - 83.5. Let k = 101.81 + h. Let o = -13.29 - k. Round o to 0 decimal places. -13 Let u = -13.098 + 13.09787029. Round u to 5 decimal places. -0.00013 Suppose -2*f + 3*s - 149 = 0, -78 = f - 9*s + 11*s. Let d be (-1 - 58299991/11) + f/(-418). Round d to the nearest 1000000. -5000000 Let u = -2311 - -2326.24. Round u to zero dps. 15 Let f = 3179 - 3178.372. Round f to one dp. 0.6 Let x = 1495809 + -4561944. Let n(y) = -35890*y**3 + 4*y**2 + 4*y - 5. Let z be n(5). Let k = z - x. What is k rounded to the nearest 100000? -1400000 Let t = -19082.991453 - -19083. What is t rounded to four dps? 0.0085 Let f be 2 + -1 - (-20)/4. Suppose f*u + 113233 = -145367. Round u to the nearest ten thousand. -40000 Let p = -851.7909 - 0.2091. Let a = p + 851.9999517. What is a rounded to 5 decimal places? -0.00005 Let s = 2.5 + 269.5. Let a = 271.999999112 - s. Round a to 7 decimal places. -0.0000009 Let k = 43259.347 + -43289. Let a = k + -0.067. What is a rounded to zero decimal places? -30 Let d = -628.99 + 628.954067. What is d rounded to three decimal places? -0.036 Let l = 41712 + -6641. Suppose 244671 - l = 4*f. What is f rounded to the nearest 1000? 52000 Let c be 22*(-4)/8 + 0 + 0. Let d be (c - -4)*(-10)/35. Suppose -3*g + 3*m = -d*g - 2288, -2*g + m = -4596. Round g to the nearest one thousand. 2000 Suppose 210067 = s - c - 126936, -2*s + 674001 = -c. Suppose 8177 = -3*k - a - 497324, -2*a = -2*k - s. What is k rounded to the nearest 10000? -170000 Let j be 51*8/(-72) - 4/(-6). Let m(n) = -n**2 + n + 4. Let y be m(j). Let c = -3126 - y. Round c to the nearest one thousand. -3000 Let b be -1 + (2 - -12738 - 3 - 0). Let j = b - -56651. Suppose -22613 - j = -2*n. Round n to the nearest 10000. 50000 Suppose -3*y + 70814053 = f, -10*y + 5*f = -11*y + 23604703. Suppose -76715317 - y = -19*r. Round r to the nearest one million. 5000000 Suppose 5*i + 4812305 = -3*p, 103*i - 3208196 = 2*p + 99*i. Round p to the nearest ten thousand. -1600000 Suppose q = r + 2, 5*r - 5*q = 7*r - 10. Suppose l - 3*y + 2*y = 2637, r = 3*l + 5*y - 7887. Suppose -754 + l = -p. What is p rounded to the nearest 1000? -2000 Let i(y) = 5*y**3 - 7*y**2 + 18*y + 15. Let g be i(9). Suppose -2*l + 3*t = 4*t + 6555, -l = 5*t + g. What is l rounded to the nearest 1000? -3000 Su
{ "pile_set_name": "DM Mathematics" }
Suppose 3*l = 31 + 5. Suppose -16 + l = -b. Suppose -2*h - b*c + 58 = 0, -3*h + 7*h + 3*c = 111. What are the prime factors of h? 3 Let r(d) = -62*d**2 + 233*d**3 - 110*d**3 + 64*d - 121*d**3 - 73. What are the prime factors of r(30)? 47 Suppose 3*c - 157828 = -7017*b + 7019*b, 0 = -5*c + 4*b + 263044. List the prime factors of c. 2, 7, 1879 Let y(h) = -272*h - 56. Let s be y(-8). Let r = s + -435. What are the prime factors of r? 5, 337 Let o = 3532 - 738. What are the prime factors of o? 2, 11, 127 Let x(r) = r**2 + 7*r - 3. Let y be x(-8). Suppose 0 = y*b - 9 - 16. List the prime factors of (-441)/15*(-10 + b). 3, 7 Let z(i) = 18*i - 4. Let u be z(4). Suppose -b - 44 = -3*s, -b - 25 - 15 = -s. Let y = b + u. List the prime factors of y. 2, 3, 5 Let m = 1181 + -1097. Let n be 66*3/(9/6). Let u = m + n. List the prime factors of u. 2, 3 Suppose -15966 + 587550 = 78*d. What are the prime factors of d? 2, 229 Suppose q + 3*a + 4668 = 31957, 3*q - 81923 = -a. List the prime factors of q. 2, 5, 2731 Suppose -4*m + 969 = -3*y, 3*y - 753 = -3*m - 0*y. Suppose 3*z + 2*w - 832 = 0, -z - 5*w = -m - 53. List the prime factors of z. 2, 137 Let h = -7983 - -7532. Let z(s) = -17*s**2 + 3*s - 3. Let k be z(4). Let q = k - h. List the prime factors of q. 2, 47 Suppose -u = -3*u + 4*b - 22, 5*u - 5*b = -35. Let h be 0*(1 + 1 + u). Suppose r - 49 = g + 6, 3*g = h. What are the prime factors of r? 5, 11 Let y = 70 + 8. List the prime factors of (15/(-13) - -1) + 19746/y. 11, 23 Suppose 10*o = -5*o + 75. Suppose o*a + 4*v = 121 + 1115, 2*a - 492 = -4*v. List the prime factors of a. 2, 31 Suppose -4 + 8 = -2*n. What are the prime factors of (-101)/n*(3 - (-14 + 3))? 7, 101 Let m(r) = r**3 - 19*r**2 - 8*r + 27. Let o = 178 - 158. What are the prime factors of m(o)? 3, 89 Let v(x) = 1. Let d(q) = 11*q - 17. Let o = 37 - 32. Let i(r) = o*v(r) + d(r). List the prime factors of i(5). 43 Let t be 3630891/329 - 2/14. List the prime factors of 3/30 + t/40. 2, 3, 23 Let f be (-16)/48 - 31/(-3). Suppose f*t = -413 + 7863. List the prime factors of t. 5, 149 What are the prime factors of 34325 - (-19 + 15) - 15? 2, 3, 7, 19, 43 Let l be (-20200)/(-40) + 3 + (-1)/1. Suppose h - 3*p = 132, -l = -4*h - 8*p + 13*p. What are the prime factors of h? 3, 41 Suppose -3*y = 160 - 1720. Suppose 36*a - y = 28*a. Let x = 96 + a. List the prime factors of x. 7, 23 Let s = 7021 - 5020. List the prime factors of s. 3, 23, 29 Let z be (4 - 26/(-4))*28/6. What are the prime factors of z/(-1 + 30/25)? 5, 7 Suppose 9*t = 16 - 25. Let i be (0*t/(-4))/(-1). Let u(b) = b**2 - 2*b + 65. What are the prime factors of u(i)? 5, 13 Suppose -3*p + 131 = -2*o, 0*p + 3*o = -2*p + 96. List the prime factors of (p/(-25) + 1)*-310. 2, 31 Let d be -3*151/(-2)*(-5 + 31). Suppose 12*w - 12519 = d. List the prime factors of w. 2, 13, 59 Let v = 29777 + -13955. What are the prime factors of v? 2, 3, 293 Let h(z) = -31*z - 22. Let j be h(-8). Suppose -3*y - 66 = 2*d + 271, -669 = 4*d + 5*y. Let b = d + j. What are the prime factors of b? 5, 13 Suppose 3*g - 13*g = 6638 - 156508. What are the prime factors of g? 7, 2141 Let t = 82317 + -57671. List the prime factors of t. 2, 12323 Let s = -16352 + 28753. What are the prime factors of s? 12401 Suppose 7*c - 6*c - 2627 = -s, -c = 0. Suppose -36*o + 11699 = s. What are the prime factors of o? 2, 3, 7 Let z(u) = -9*u + 6. Let f be z(-1). Suppose 5*h = n - 370, n - 2*n = -5. Let c = f - h. What are the prime factors of c? 2, 11 Let h = -32 - 9. Let c = 43 + h. Suppose w - 55 = -3*k - 0*w, -30 = -k + c*w. What are the prime factors of k? 2, 5 Let n = 407 + 63. Suppose -n = -3*z + 88. Let x = 286 - z. List the prime factors of x. 2, 5 Let y(a) = 17*a**2 + 15*a + 31. Let c be y(-2). Let s = c - 7. List the prime factors of s. 2, 31 Let u(x) = 45*x - 2542. List the prime factors of u(97). 1823 Let z = -38 - -38. Suppose 0 = -2*d + 3*y + 261, 3*d + z*y - 390 = 5*y. What are the prime factors of d/6 + 2/(-4)? 2, 11 Let h be ((96/28)/2)/(4/882). Suppose 11*q - h = 4*q. Let y = 66 - q. List the prime factors of y. 2, 3 Let j(x) = -x**3 - 5*x**2 + 6*x - 8. Let q be j(-6). List the prime factors of ((-274)/q)/(-3*(-2)/72). 3, 137 Let u(m) = -m**3 - m**2 - 20*m + 6. Let v be u(8). Let y = 1086 + v. Suppose 8*k - 1012 = -y. What are the prime factors of k? 2, 41 Suppose -19*t - 3500 = -5*t. Let n = 89 - t. List the prime factors of n. 3, 113 Suppose d + 6245 = 3*g, 2*d - 5237 = -4*g + 3103. What are the prime factors of g? 2083 Let o = -138 - -199. Suppose o*i - 1396 = 57*i. List the prime factors of i. 349 Suppose 0*x + 27*x - 170802 = 0. List the prime factors of x. 2, 3163 Suppose 3*p + 8 = -2*s, 0 = -4*s + 5*p - 43 + 71. Let d = 531 + -1738. What are the prime factors of s + (-96)/52 + d/(-13)? 3, 31 What are the prime factors of ((700/75)/2)/(1 + (-3124)/3126)? 2, 7, 521 Suppose 1242 - 65281 = -7*y + 43418. List the prime factors of y. 3, 7, 17, 43 Suppose 0 = 37*l - 877 + 137. Let n = l + 655. List the prime factors of n. 3, 5 Suppose -17886 = -3*d - 19*d. Let l = 1729 - d. What are the prime factors of l? 2, 229 Suppose -18101 = -13*l + 1165. Suppose 4*g - l - 86 = 0. What are the prime factors of g? 2, 7 Let z(d) = 2*d**2 - 26*d + 193. Let a be z(20). Let b = -64 + a. What are the prime factors of b? 409 Suppose -2*v + 3 = 5*p - 19, -3*p = 4*v - 16. Let q be v*3/15 - 18/(-10). List the prime factors of q/4*1*666/3. 3, 37 Let r(i) be the second derivative of i**4/12 - 2*i**3/3 - 5*i**2/2 - 27*i. Let b be r(6). Let p(f) = f**3 - 5*f**2 - 5*f - 20. List the prime factors of p(b). 43 Let z = -173 + 381. Suppose 4*j = 2*m + 1572, -m + z + 574 = 2*j. What are the prime factors of j? 2, 7 Let m(w) = -4*w + 9. Suppose 5*i = -0*i - q + 28, -5*q = 2*i - 2. Let u(h) = 4*h - 9. Let a(g) = i*m(g) + 7*u(g). What are the prime factors of a(7)? 19 Let t be (4114/4)/((-16)/(-96)). List the prime factors of (24/(-10))/(t/(-2055) + 3). 2, 3, 137 Suppose -10*k - 27607 = -104787. List the prime factors of k. 2, 17, 227 Let h = 675 + 10853. What are the prime factors of h? 2, 11, 131 Suppose 42531 = 4*y - 3*w, 4*y - 6*w = 6*y - 21228. What are the prime factors of y? 3, 1181 Suppose 0 = 7*f - 2*f - 1155. What are the prime factors of (-62)/(-14) - 99/f - -1425? 1429 Let v(z) = -7*z - 2. Let a be v(3). Let y = a - -50. Let i = y + 12. What are the prime factors of i? 3, 13 Let c = -2426 + 5620. Let i = c + -1935. List the prime factors of i. 1259 Suppose -2*c - 2*c - 16 = 0. What are the prime factors of (c/(-16))/(4/656)? 41 Suppose 174*a + 18 = 180*a. Let x = 337 + a. List the prime factors of x. 2, 5, 17 What are the prime factors of (980/(-504)*6)/(3/(-9711))? 5, 7, 13, 83 Suppose 157 = -2*b - 1081. Let d = -335 - b. List the prime factors of d. 2, 71 Suppose 20 = -k + 6*k. Suppose -k*v + 1300 = 2*t, -t + 20 = 4*t. List the prime factors of v. 17, 19 Let x(n) = -206*n + 15. Let r = -146 - -144. What are the prime factors of x(r)? 7, 61 Suppose -336960 = -324*t - 117341 + 1246157. What are the prime factors of t? 2, 3, 13, 29 Let n(a) = 30*a**2 + 1. Let c be n(1). Let p = c - 30. What are the prime factors of (-70)/(0 - p - 0)? 2, 5, 7 Suppose 89479 = -5*a + 230789. Let t be 8/(-10) + a/65. Let p = t - 309. What are the prime factors of p? 5 Let r = 11499 + -3788. List the prime factors of r. 11, 701 Let j(i) = -3*i + 15. Let t be j(3). Suppose t*c - 1329 = 573. List the prime factors of c. 317 Let o be -38 - -1 - -4*12/(-16). Let x be (-1)/(-2*(-4)/o). What are the prime factors of (1/x - 293/(-10))*4? 2, 59 Let r = -420 + 408. What are the prime factors of (-8)/r*(2764 - 4)? 2, 5, 23 Suppose 4*p = 6*p - 2, 5*r = 4*p + 1701. Let q = r + -152. Suppose 3*c - w = 2*w + q, -c = 4*w - 43. What are the prime factors of c? 59 Let t be (0/3)/(4/2). Let a be (1 + t)*(10 + -10). Suppose -5*o + 3*q + 381 = 4*q, a = 2*o + 4*q - 138. List the prime factors of o. 7, 11 Let w(g) = 15*g - 23. Let s(b) = 3 - 1 - 7 - 2*b. Let n be s(-5). List the prime factors of w(n). 2, 13 Let h(f) = -16*f**2 + 14*f - 11. Let n(b) = 8*b**2 - 7*b + 4. Let j(z) = -3*h(z) - 5*n(z). Let q be (-2)/11 - (-230)/55. What are the prime factors of j(q)? 113 Let p = 189 - 187. Suppose -4*x - h = -2704, -13*x + 11*x + 1346 = p*h
{ "pile_set_name": "DM Mathematics" }
+ 2*q for i. 4 Let z(p) be the third derivative of 1/8*p**4 - 12*p**2 + 1/3*p**3 + 1/30*p**5 + 0*p + 0. Let a be z(-2). Solve a*w = 2*f + 6, 0 = -f - 3*w + 6*w - 5 for f. 1 Let i(s) = -30*s + 274. Let y be i(9). Solve 0 = -y*n + 12, -1 = -4*l - 0*n + n for l. 1 Let b = -1 - -3. Let j = -54 + 95. Let p = j - 38. Solve -3 = -4*l - 3*o, -b*l + 4 = o + p for l. 0 Let v = -116 + 119. Let i be 0/(-9) + 123/v. Solve -h = -3*f - 1, 5*h = -5*f - i + 6 for h. -5 Let u be 108/(-4)*4/(-6). Let h(b) = 3*b**2 + 25*b + 10. Let t be h(-8). Solve v + 5*l = -u, 20 = -2*v - t*l + 8 for v. -3 Suppose -5*y = -0*y - 15. Suppose -5*o + 13 = c, -3*o = -3*c - 0*c + y. Solve 4*n - o*p + 1 = -3, 2*n + 10 = 5*p for n. 0 Let k(a) = 2*a**2 + 4*a + 3. Let g be k(-3). Suppose 3*n = -0*n + g. Suppose 2*y = n*y. Solve 0 = -y*r + r - 2*f + 5, -r - 5*f + 23 = 0 for r. 3 Let b(v) = 4*v + 20*v**2 - 3*v - 7*v**2 + 1 + 24*v**2. Let g be b(-1). Let t = g - 23. Solve -4*p - t = -3*q - 5*p, -2*q - 4*p + 6 = 0 for q. 5 Let r = -57 + 57. Solve 0 = -3*m - 1 - 11, r = 5*p - m - 19 for p. 3 Let n(r) = r - 4. Let j be n(4). Suppose 4*h = 3*l - j*l - 4, 0 = -4*l + 5*h + 7. Solve 3*s + 2*q - 20 = -s, -4*s = -5*q + l for s. 3 Suppose -5*x + 5 = -5. Let t = 5 - x. Suppose -y + 0*g - 12 = -t*g, g - 20 = -5*y. Solve -p - 6 = -4*p, 4*p = -y*h + 11 for h. 1 Let y = -223 + 227. Solve i + 3*i - 1 = -q, -y*q + 15 = 5*i for i. -1 Let t be 6783/95 - ((-4)/(-10) + 0). Suppose -12 = 68*p - t*p. Solve 0 = -p*d - 3*k + 8, -d - k + 13 = -3*k for d. 5 Suppose 0 = 14*s - s. Let w(o) = -3*o - 4. Let i be w(-4). Solve m = -3*z - i, 0 = -2*m - s*z - z - 6 for m. -2 Let d(x) = 5*x**3 - 2*x. Let l be d(2). Let t be (-8)/l + 4/18. Solve 4*s = -p - 0*p + 24, -p + 4*s - 16 = t for p. 4 Let z(i) = i**3 - 9*i**2 + 10*i - 14. Let l be z(8). Solve 4*p = 2*k - l, -3*p + 3 = 2*k - 6 for k. 3 Let q = -443 + 447. Solve 2*z = 3*i + 16 - 3, -5*i = q*z - 15 for z. 5 Let q = -45 + -2. Let b = 52 + q. Solve 12 = 3*n, 5*k - b*n - 3 = 2 for k. 5 Let w(b) = -6*b + 27. Let s be w(-13). Suppose 5*r = -2*r + s. Solve -5*v = -r - 0, -5*v + 27 = -4*x for x. -3 Let a(h) be the first derivative of -9*h**2/2 - 30*h + 21. Let s be a(-5). Solve -2*b - 5*v + 0 = -s, 2*v - 7 = -b for b. 5 Let y = -790 + 796. Solve y*b = -2*w + 11*b + 4, -3*w + 6 = b for w. 2 Let k = -9 + 12. Let t(y) = 2*y**2 - 7*y. Let n(r) = -4*r**2 + 15*r + 1. Let l(m) = k*n(m) + 7*t(m). Let a be l(2). Solve -5 = 5*j, -3*p + 2 = -a*j - 1 for p. 0 Suppose -62*c + 69*c = 21. Solve y + c + 4 = a, 0 = -2*a + 5*y + 23 for a. 4 Let p(d) = d**2 - 6*d - 8. Let h be p(7). Let j be 10*-2*h/4. Let t be 1 - -2 - (3 - j). Solve 35 = -0*o + 5*o - t*r, -2 = r for o. 5 Suppose -2*s = s - 2*o - 1, -s + 5*o + 9 = 0. Let q = 2 - s. Solve 3*p - 2*t - 8 = -0*p, 3*t = -q for p. 2 Let c be (-3 - (-41)/6) + 6/36. Solve -5*j + 5 = -9*w + 4*w, 5*j = -c*w - 40 for w. -5 Suppose 16*j = 5*j + 55. Solve 2*y - 5*s = -2*s + 1, -j*s = 2*y + 23 for y. -4 Let m = 4 + -1. Suppose m*d + 0*d - 288 = 0. Let u = d - 44. Solve 5*b = 4*x - u + 12, 3*x - 27 = 3*b for b. -4 Let l(r) = r**3 - 24*r**2 - 53*r + 26. Let g be l(26). Solve g = -5*a + a - 5*o - 5, o + 12 = -3*a for a. -5 Suppose -15*o + 12*o = -18. Let l(b) = -b**3 + 7*b**2 - 7*b + 9. Let f be l(o). Solve -5*u - 5 = 2*v, 5*v + 4 = -u - f*u for u. -1 Let m be (-4 + 2)/(3/18*4). Let c be (-4*(-3)/m)/((-2)/6). Solve 0*f - 2*b + 21 = -5*f, -b = -3*f - c for f. -3 Suppose 4*u + 4 = 6*u. Let s be (0/9)/(2/u). Solve -2*w - z + 5 = s, 8*w - 5*z = 3*w + 35 for w. 4 Suppose 2*h - 17 = -5. Let t = h + 2. Suppose -3*j + 23 = 4*n, t + 2 = n + 5*j. Solve 0*k - 2*d = -2*k + 2, 0 = 3*k + n*d - 11 for k. 2 Let i be (14 + -12)*2/1. Solve 2*u = i*l + 12, 0 = -2*l + 2*u + u + 2 for l. -5 Let r(b) = -b**2 + 15*b - 46. Let k be r(8). Solve -x + 5*q - q = -17, q - k = 5*x for x. -3 Let v(r) = -14*r + 129. Let o be v(9). Solve -5*l = -4*z - 25, -25 + 5 = o*z - 5*l for z. -5 Let k = -215 - -219. Solve 3*f + k = 1, 3*f = -4*s - 3 for s. 0 Let z be (16 + -18)*19/(-1). Suppose -8 = 6*f - z. Solve -16 = -4*h - u, 2*h - 4*u = -f - 5 for h. 3 Let n be (-1)/(-4) + 0 + (-630)/(-360). Solve 9*d = 4*d - n*f + 20, -4*d + 2*f - 2 = 0 for d. 2 Let w(g) = -4*g**2 - g - 1. Let d be w(-1). Let i = 2 - d. Suppose 0 = -q - 2*q + 12. Solve 4*t + 3*j = 19, -i = -t + 3*j - q*j for t. 1 Let d = 2 + -9. Let f = -5 - d. Suppose -m + 113 = 102. Solve n - m = -f*n + 5*r, -4*n = -r - 9 for n. 2 Let w(u) = -u**2 + 10*u + 14. Let k be w(11). Let t be (-3 - -9)*-1 - k. Let m be 6/(-12) + t/(-2). Solve 0 = i - v, -m*i - 5*v = -7*v - 4 for i. 2 Let f be (1 - 3)*91/(-26). Suppose 8*x - 46 = 90. Solve -2*q + q + f = 2*d, -3*q + x = 2*d for q. 5 Let r(m) = -2*m - 9. Let q be r(-2). Let t be (4/q + 2)*(-30)/(-9). Solve 3*w = t*n + 14, -2*n - w = -n for n. -2 Suppose 0 = -4*r + 2*r - 3*s - 11, -8 = r + 2*s. Suppose 3*f - 20 = r*v - 4*v, -2*f = 2*v - 16. Solve -5*j = -5*w - j - 29, -4*j = -f*w - 24 for w. -5 Let w(z) = 54*z + 716. Let l be w(-13). Solve 6*p - 8*p = -4*t + l, 5*p + 2*t + 11 = 0 for p. -3 Let d(z) = -z**3 + 9*z**2 - 11*z - 32. Let u be d(6). Solve -5*x = 4*l + 16, x - 26 = 4*l - u for x. 0 Suppose -4*h = -3*k - 52, 3*k - 2*h + 3*h = -47. Let q = k + 20. Suppose 5*m + i - 13 = 0, -6*i - 3 = m - 3*i. Solve -2*c = q, -m*c + 1 = -g + 4 for g. -3 Suppose -7 = 2*w - 3. Let t be (-5)/w*18/15. Suppose 2 - 14 = -t*l. Solve u + 4*f + 22 = 0, l*u + 23 = -0*f - 3*f for u. -2 Let o = 1 + 19. Suppose 60 = -5*s - o. Let u be (-5)/15 + s/(-3). Solve u*y - v + 1 = y, 5*y + 3*v = -14 for y. -1 Let a(o) = -2*o + 6. Let u be a(2). Solve 2*l - 1 + 3 = -u*v, -l - 2*v = 1 for l. -1 Suppose 16*f + 31 = s + 19*f, -2*s + 2*f = -22. Solve 5*z - a + s = -2, 0 = -z + a - 6 for z. -3 Let h = -40137 + 40145. Let k(l) = -2*l - 2. Let a be k(-3). Solve -a*j + b + 3*b - h = 0, 0 = -2*j - 5*b - 11 for j. -3 Suppose 4*b - 55 + 47 = 0. Solve -5 = -5*a + 4*s, 0*a - b*a - 4*s = 26 for a. -3 Let s be (12/(-10))/(-3) + (-460)/(-100). Solve -11 = -5*i - 0*b - 4*b, s*b = -i - 2 for i. 3 Let f be (-4 - (-2 + -2))/2. Suppose -15 = -5*j - f. Solve r - j*o + 7 = 0, 6*o - o = 2*r + 11 for r. 2 Let b = 10 - -3. Let s = b + -10. Suppose 3*n = -7*n. Solve 0*d - 12 = -s*d + g, n = -d + 2*g + 4 for d. 4 Suppose -3 = -5*y + 17. Suppose -4*w = y*t - 3*t - 8, 0 = 5*w - 3*t - 10. Solve 9 = 2*n + 5*s, n - 4*s - 2 = -w*n for n. 2 Let s be (15 - 10)*-1 + (-16)/(-2). Solve d = 3, -h = -3*h - s*d + 15 for h. 3 Let c be 18/(((-18)/4)/(-3)). Suppose m - 25 = 5*d, 4*m - 5*d - 54 = 16. Let g = m - c. Solve 20 = 3*a + l, 0*a - g*l = a - 20 for a. 5 Suppose d = -4*d, 0 = -t + 3*d + 2. Suppose -t*b = 1 - 9. Solve b*q - 5*s = -40, -2*q = -5*q - 4*s + 1 for q. -5 Suppose 2 = -3*d + 3*v - 1, 28 = 2*d + 4*v. Let g(w) = 2*w**2 - 5*w - 1. Let i be g(d). Let u = i + -11. Solve 4*n + 16 = -u*n - f, 5*n = -f - 21 for n. -5 Let u = -64 + 68. Solve -2*x = u*n + 10, -4*x - 3*n - 4 = x for x. 1 Suppose -4*o = -2*v - 22, o - 5 + 1 = -v. Solve o*b + 22 = 2*p + 4, 2 = -5*b - 2*p for b. -2 Suppose 2*z - 5*p = -2*z + 12, -p + 28 = 3*z. Suppose z = 5*r - r. Suppose -3*f + 11 = l, 2*f - 8 = -l - r. Solve b = -3*y - b + 11, 0 = -5*y + f*b + 35 for y. 5 Let q(n) = -n**2 - 9*n - 3. Let m be q(-9). Let o be (-3)/((-18)/m)*46. Let k be -1 + 1 + 1 - o. Solve -4*l - 8 = -4*g, 2*l + 0*l - k = -5*g for l. 2 Suppose -3*y = -6, 3*f - 4*y + 8 = f. Suppose 3 = t + 4*s, 0 = t + 3*t + 4*s - 12. Let p = f + t. Solve 2*b + 11 = 4*i - p*i, 4 = -4*i - 4*b for i. 3 Suppose 2*a + 3*g - 31 = 0, -3*g - 45 = -4*a + 44. Solve -5*r + a = 5*m, 5 = 2*r - 3*m + 4*m for r. 1 Let m(b) = -b**3 + 6*b**2 + 9*b + 4. Let t be m(7). Suppose -q = 5*q - t. Solve -3*l + 35 = 4*d, 0 = q*l - 2*d - 5 for l. 5 Suppose 27*w - 31*w + 44 = 0. Let h be w + (1 - 4) - 4. Solve -2 = o + 3*m, 3*o + 2*m - 2 = h*o for o. -2 Let m be ((-420)/9)/(-10) - (-6)/(-9). Solve -4*o = 4*t + 5 - 1, -m*o = 3*t + 6 for o. -3 Let x(m) = -m**3 + 29*m**2 + 30*m + 16. Let s be x(30). Solve 7 = -n + 4*p, -5*n + s = -0*n - 3*p for n. 5 Suppose g + 4 = 33. Suppose -12 = 26*c - g*c. Solve -2*p = -v + 6 - 12, -c*p - 4*v = 0 for p. 2 Suppose 0*q = -2*q + 8. Let s be (-180)/240*(0 - (0 + 4)). Solve 29 = -c + 4*w + 11, q*c + 20 = s*w for c. -2 Let u = -25 - -28. Sup
{ "pile_set_name": "DM Mathematics" }
0 = 3*v - 3*c - 66, -20 + 91 = 3*v - 4*c. What are the prime factors of k(v)? 7, 19 Let q(b) = 923*b**2 + 319*b + 88. What are the prime factors of q(5)? 2, 12379 Suppose 16*o + 38 = -3*o. List the prime factors of -4 - (o - 976) - 1. 7, 139 Suppose 0 = l + 1 + 5. Let h be 54/(-24)*40/l. Let n(v) = v**2 - 6*v - 21. List the prime factors of n(h). 2, 3, 19 Suppose -20885 = -1456*q + 1451*q. List the prime factors of q. 4177 Let l be 18896/(-40) - 5 - (-6)/(-10). Let u = -196 - l. What are the prime factors of u? 2, 3, 47 Let f = 46 + -45. Let j be (-8)/6*f/1*-93. Let n = -105 + j. List the prime factors of n. 19 Suppose 2*n - 4*n - 60 = 0. Let f = -25 - n. Suppose -2*b = -3*x - b + 155, 20 = f*b. List the prime factors of x. 53 Let v(g) = -g**3 + 10*g**2 - 12*g + 26. Let u be v(9). Let y(b) = 14*b + 2. Let a be y(u). Let i(r) = -r**2 - 23*r + 1. What are the prime factors of i(a)? 7, 19 Suppose -8288 = -18*m + 103330. List the prime factors of m. 3, 13, 53 Let z(o) = 6*o**2 + o - 41. Suppose 3*t = -3*x + 24, x + 37 = 4*t - 0*x. List the prime factors of z(t). 2, 227 Let t = -2 - -11. Let a(y) = -t + 62*y**2 + 4 + 6. List the prime factors of a(-1). 3, 7 Let v(o) = -o**2 - 16*o - 1. Let c(j) = -j**2 - 8*j. Let m(f) = -5*c(f) + 2*v(f). Suppose -s - 6 = 0, -2*s + 8 = -2*h - 2*h. What are the prime factors of m(h)? 3, 11 Let s = 2547 + 19142. List the prime factors of s. 23, 41 Let f(l) = -11*l**3 - 81*l**2 + 104*l + 25. Let s(x) = 5*x**3 + 40*x**2 - 52*x - 14. Let w(p) = 6*f(p) + 13*s(p). List the prime factors of w(32). 2, 11 Suppose 5*n + 6812 = -5*m + 18212, 5*n + 3*m = 11398. List the prime factors of n. 43, 53 Let w(m) = -36 + 11*m + 5*m**3 + 6 - 4*m**2 - 6*m**3 + 18*m**2. List the prime factors of w(7). 2, 3, 5, 13 Let w(n) be the first derivative of n**4/4 - 16*n**3/3 - 13*n**2/2 + 8*n - 18. Let i be w(16). Let c = i + 371. List the prime factors of c. 3, 19 Suppose 0 = 10*r - 42054 + 3974. What are the prime factors of r? 2, 7, 17 Let c(i) = -i**3 + 10*i**2 + 17*i - 13. Suppose 2*m - 37 = 5*l, 2*m + 2*l = 6*l + 32. Let k be 10/(-5)*(1 - m). What are the prime factors of c(k)? 157 Suppose 4*m = 2*i - 28366, -20207 - 8159 = -2*i + 3*m. What are the prime factors of i? 13, 1091 Suppose -30*a + 10*a = 23*a - 19651. What are the prime factors of a? 457 Let m = 178 - 91. What are the prime factors of -395*(m/(-60) - (-6)/24)? 2, 3, 79 Suppose 2*p = 6*v - 18744 - 313486, -4*v + 2*p + 221492 = 0. List the prime factors of v. 17, 3257 Let r(z) = -212*z + 14. Let j(y) = 19*y - 1. Let h(n) = 12*j(n) + r(n). Let u be (17/(-4))/((-2)/8). List the prime factors of h(u). 2, 137 Let k(h) = -85*h**3 - 3*h**2 + 4. Let o be k(-2). Suppose -10*f + o - 52 = 0. Suppose -10*j - f = -11*j. What are the prime factors of j? 2, 31 List the prime factors of (124/(-8) - -15)/((-1)/45456). 2, 3, 947 Suppose 5*j = -u + j - 8, -5*u = 2*j + 112. Let r be 6/(-33) + u/(-11). Suppose -w + 403 = 5*m, -m + r*m - 5*w = 91. What are the prime factors of m? 3 Let z be -187 + -10*(-32)/40. Let b = z - -492. What are the prime factors of b? 313 Suppose -11*j = 7*j - 81054. Suppose 0 = -18*p + j + 3525. What are the prime factors of p? 2, 223 Suppose 3*v - 4812 = -6*u + u, 0 = v - 4. Let f = -574 + u. List the prime factors of f. 2, 193 Let z(l) = -14*l**3 + 372*l**2 + 42*l - 87. What are the prime factors of z(21)? 3, 11731 Let b = -12 - -15. Suppose m = -5*o + 9, o + 3*m - b = -2*o. List the prime factors of (-75)/20*-6*o. 3, 5 List the prime factors of (-8)/((-64)/77656) - 5. 2, 3, 7, 11 Let t be -3 + 6414/42 - (-2)/7. Suppose 24 - t = -6*p. Suppose -p*o + 16*o = -25. What are the prime factors of o? 5 Let l(f) = 1350*f + 5614. List the prime factors of l(15). 2, 53, 61 Let l(y) = -2*y**2 + 2*y + 8. Let x be l(-2). Let i(s) = s**2 - 3 + 1 + 5*s - 2*s. What are the prime factors of i(x)? 2 Suppose -9*x + 5*x - 2*t = -33596, t = 4*x - 33584. List the prime factors of x. 3, 311 Let c = -9 + 240. Let g be 3/12 - 2345/20. Let x = c + g. What are the prime factors of x? 2, 3, 19 Let d(n) = -n**3 + 9*n**2 + 8*n + 22. Let c be d(10). Suppose -c*t + 1552 + 60 = 0. List the prime factors of t. 2, 13, 31 Let k(h) = -97*h - 29. Let a be k(-14). Suppose -a = -68*z + 65*z. Let p = z + -275. List the prime factors of p. 2, 3, 7 Suppose -78 = f - 4*f. Suppose f + 39 = 5*k. Suppose 12*l = k*l - 171. What are the prime factors of l? 3, 19 Let v = -28 - -30. Suppose -2*o - v*o = -12. What are the prime factors of 152 - 3/(2/(-1 + o))? 149 Suppose -18*y - 4*y - 60757 + 1411183 = 0. List the prime factors of y. 3, 7, 37, 79 Suppose -2*t - 4*q + 436 = 0, 5*t - 5*q - 243 - 802 = 0. Let o be 30/(-8)*24/9. List the prime factors of (0 + t/(-8))*o. 5, 53 Let b be (-4 - 1*-1) + (-38 - -45). Suppose -5*z + 20 = w, w + b + 0 = z. List the prime factors of -2 - w - (-3 - -1) - -98. 2, 7 Suppose 140 = -5*i + 33*i. Suppose -y + c + 122 = 0, 2*y - 148 = -i*c + 110. What are the prime factors of y? 2, 31 What are the prime factors of 2 + (104763/15 - 13/65)? 2, 7, 499 Suppose -72*c + 2552 = -61*c. Suppose 11776 = c*r - 216*r. What are the prime factors of r? 2, 23 Let z = 79 + -78. Let m be (z/(-6)*0)/(-4). Suppose -692 = -4*b - m*b. What are the prime factors of b? 173 Suppose 10*n = 5*a + 12*n - 37, -5*n - 16 = -3*a. Suppose a*w = 16*w - 4212. What are the prime factors of w? 2, 3, 13 Let h = 900 + -292. Suppose -v - 160 = -h. Suppose 142 - v = -5*n - x, 2*x - 2 = 0. List the prime factors of n. 61 Let u(k) = -2*k**3 - 13*k**2 + k - 42. Let x be u(-7). What are the prime factors of 16/88 - (-12714)/11 - x? 2, 17 Let j = -1825 + 4272. List the prime factors of j. 2447 Suppose 4*f - 6*o = 23732, 2*o = -2*f - 3*f + 29722. What are the prime factors of f? 2, 2971 Suppose 2*k + 18 = -7*k. Let d be (((-16)/10)/2)/(k/210). List the prime factors of d/5*(7 + -2). 2, 3, 7 Let p = 75 + -46. Let h = 630 - 607. Let u = p - h. What are the prime factors of u? 2, 3 Let n = -51 - -54. Suppose 1280 - 245 = n*w. What are the prime factors of w? 3, 5, 23 Let n = -291 + 261. List the prime factors of (400 - -2)*n/(-45). 2, 67 Suppose -i - 41907 = -3*w, 2*w - 27924 = 256*i - 260*i. What are the prime factors of w? 2, 3, 97 Suppose -533 = -6*y + 2545. Suppose y*b + 1160 = 517*b. List the prime factors of b. 2, 5, 29 What are the prime factors of 20 + (-695875)/(-57) - (-1)/(-3)? 2, 3, 1019 Let n = 29937 - 12116. What are the prime factors of n? 71, 251 Let i(x) = 182*x**2 - 3*x - 5. Suppose -3*k = 4*k - 21. Let f(c) = 61*c**2 - c - 2. Let v(g) = k*i(g) - 8*f(g). What are the prime factors of v(1)? 2, 29 Let t(l) = -10 + 4*l**2 + 20*l - l**2 + 25*l - 49*l. Let i = -6 - -1. What are the prime factors of t(i)? 5, 17 Let r(l) = 1118 - l - 1146 - 6*l. Let q be 143/(-11) + 0 + -1. List the prime factors of r(q). 2, 5, 7 Let w = -113 - -74. List the prime factors of (-3)/(0 + 1) - (w + -445). 13, 37 Let v(y) = 3665*y - 7326*y + 3669*y - 4. Suppose -4*c = -2*c - 10. List the prime factors of v(c). 2, 3 Suppose -5*n + 13*y + 62386 = 12*y, 0 = 3*n + 4*y - 37450. List the prime factors of n. 2, 17, 367 Let b(q) be the second derivative of -q**5/4 - 7*q**4/6 - 4*q**3/3 - 53*q**2/2 + 167*q. List the prime factors of b(-7). 2, 3, 43 Suppose -5*v - 9*v + 147784 = 0. Suppose 6799 = 13*k - v. What are the prime factors of k? 3, 5, 89 Suppose -469 = -p + 5*c + 1419, -1868 = -p + c. Let q be ((-14)/21 - (-2)/3) + 4. Suppose 5*o = -q*o + p. What are the prime factors of o? 3, 23 Suppose -14*m + 7*m - 18915 = -20*m. What are the prime factors of m? 3, 5, 97 Suppose -2*y - 7228 - 3568 = -2*s, 21652 = 4*s + 8*y. List the prime factors of s. 3, 1801 Suppose 14*k - 107413 + 13970 = -11025. What are the prime factors of k? 7, 29 Suppose -5*h = 3*y + 2*y - 20380, 0 = -4*h - 16. Suppose -12*v + y = 12*v. What are the prime factors of v? 2, 5, 17 Let m(o) = o**3 - 17*o**2 + 9*o - 86. Let u be m(17). Suppose 221 = 3*i - u. List the prime factors of i. 2, 3 Let s(x) = -x**2 - 2*x + 1. Let r be s(0). Let h be ((-1807)/(-65))/(r/5). Let g = h + -99. What are the prime factors of g? 2, 5 Suppose -2*a + 4*l + 19460 = 0, -34286 - 4648 = -4*a - 6*l. What are the prime factors of a? 2, 3, 811 Let o be 3 + -1 + -21 + 8. Let t be 48/36*o*3/2. List the prime factors
{ "pile_set_name": "DM Mathematics" }
+ 5. Let w be 12/(-16) + 23/4. Let l be m(w). Let o(n) = l*n - 4*n + 3*n. Let p(v) = v**2. What is p(o(q))? q**2 Suppose -4*v - 6 = -2. Let w be -1 - 1 - (v + -3). Let c(f) = -w*f + f - f. Let z(s) = s**2. What is z(c(t))? 4*t**2 Let w(u) = -u**2 - 3*u**2 + 6*u**2 + 2*u**2. Let h(i) = 3*i. Give h(w(z)). 12*z**2 Let y(v) be the second derivative of v**4/6 + 6*v. Let m(n) = -7*n**2. What is y(m(w))? 98*w**4 Let q(d) be the first derivative of 2*d**3/3 + 2. Let o(y) = y - 3. Let j(z) = z - 2. Let p(x) = -3*j(x) + 2*o(x). Give q(p(l)). 2*l**2 Let b(i) be the third derivative of -1/20*i**5 + 0*i - 2*i**2 + 0*i**4 + 0*i**3 + 0. Let x(t) be the third derivative of t**4/24 + 12*t**2. What is b(x(r))? -3*r**2 Let v(i) be the second derivative of i**4/12 + 5*i. Let c(a) = 2*a**2. What is v(c(o))? 4*o**4 Suppose -2*i + 0 - 12 = 0. Let z(h) = -13*h. Let a(n) = -364*n. Let f(s) = i*a(s) + 169*z(s). Let q(c) = 2*c**2. Determine f(q(x)). -26*x**2 Let h(m) = -185*m. Let b(u) = 99*u. Determine b(h(l)). -18315*l Let n(d) be the first derivative of -5*d - 7*d**2 + 5*d - 1. Let h(c) = 2*c**2. Calculate n(h(r)). -28*r**2 Let z(g) be the third derivative of -g**4/8 - 6*g**2. Let p(o) = o**2. Determine z(p(l)). -3*l**2 Let k(v) = -10*v. Let i(h) be the first derivative of 0*h - 11 + 1/2*h**2. Calculate k(i(r)). -10*r Let i(m) = -299*m**2 + 2. Let s(y) = -13*y. Determine i(s(p)). -50531*p**2 + 2 Let t(i) = i - 1. Let f(c) = c**2 - 2*c + 3. Let b(u) = f(u) + 2*t(u). Let d(w) be the first derivative of b(w). Let k(n) = 31*n - 31*n + n**2. What is k(d(p))? 4*p**2 Let k(d) = 16*d. Let m(u) be the third derivative of u**4/24 - 5*u**2. What is m(k(b))? 16*b Let l(b) = 2*b - 3. Let p(f) = -f + 2. Let d(x) = 3*l(x) + 5*p(x). Let w(j) = 1. Let h(m) = d(m) - w(m). Let q(t) = t. Give h(q(c)). c Let y(v) = -314 + v + 314. Let w(n) = 17*n. Give y(w(x)). 17*x Let f(i) = -2*i - 3*i - 3*i + 6*i. Let b(o) = -2*o. What is b(f(h))? 4*h Let w(k) be the third derivative of k**5/30 - 2*k**2. Let d(j) = 1. Let p(u) = -2*u - 1. Let g(v) = d(v) + p(v). Determine w(g(h)). 8*h**2 Let z(m) be the first derivative of m**4/24 + m**2 + 3. Let p(x) be the second derivative of z(x). Let k(v) = v**2. Determine p(k(a)). a**2 Let p(v) = -30*v. Let i(m) = m**2 + 47*m. Determine i(p(c)). 900*c**2 - 1410*c Let n(m) = -4*m. Let f(g) be the second derivative of 0 + 0*g**2 + 3*g + 0*g**3 - 1/3*g**4. What is f(n(o))? -64*o**2 Let u(y) = 8*y**2. Let w(f) be the second derivative of f**4/12 + 29*f. Determine w(u(t)). 64*t**4 Let o(q) = -1810*q. Let y(t) = t**2. Determine y(o(f)). 3276100*f**2 Let n(j) = 9*j + 5. Let b(h) = 14*h + 8. Let t(d) = 5*b(d) - 8*n(d). Let w(s) be the first derivative of 5*s**3/3 + 4. Give w(t(m)). 20*m**2 Let l(x) = x. Suppose -2*u + 39 = -4*t + 3*t, -3*u = 3*t + 99. Let v(z) = -7*z + 6. Let o(c) = -42*c + 35. Let a(j) = t*v(j) + 6*o(j). What is a(l(g))? -7*g Let q(g) be the first derivative of g**3/3 - 1. Let p be 0/2 - -1 - -1. Let a(h) = -3*h + 0*h - 2 + p. What is q(a(r))? 9*r**2 Let y(k) = -2*k**2. Let u(q) be the first derivative of q**4/12 - q**2 - 1. Let s(h) be the second derivative of u(h). Determine y(s(l)). -8*l**2 Let k(p) = 1. Let g(v) = v - 3. Let r(b) = -g(b) - 3*k(b). Let f(y) = -2*y. Calculate r(f(t)). 2*t Let u(w) = 5*w**2 + 6*w + 6. Let o(h) = h**2 + h + 1. Let s(c) = 6*o(c) - u(c). Let r(j) = 13*j. Give r(s(z)). 13*z**2 Suppose 0 = 4*v - 13 - 11. Let a(r) = 3 - 3*r - 9 + v. Let j(t) = -5*t**2 + 6*t - 6. Let s(w) = w**2 - w + 1. Let y(n) = j(n) + 6*s(n). Give a(y(c)). -3*c**2 Suppose -4*z + 5 = 3*t, 3*t + 3 = 3*z - 6. Let d(f) = -4*f + 4*f + f**2 - 3*f**z. Let n(j) = -3*j**2. Calculate d(n(i)). -18*i**4 Let o(s) = 5*s + 282. Let t(l) = -l. What is o(t(y))? -5*y + 282 Let z(i) = -5*i. Let h = 2 + 2. Let y(q) = -q + h*q + 0*q - q. Give z(y(f)). -10*f Let w(d) = -7*d. Let a(z) = -3*z + 5*z - 2*z - 2*z**2. What is a(w(s))? -98*s**2 Let l(u) = -4*u**2. Let w(t) be the first derivative of t**3/3 + 2. Give w(l(j)). 16*j**4 Let o(m) = -3*m**2 + 46 - 46 + 0*m**2. Let t(g) be the third derivative of 0*g + 0 + g**2 + 0*g**3 + 1/8*g**4. What is t(o(q))? -9*q**2 Let p(n) = -3*n**2. Let h(g) = -42*g**2 + 24*g + 24. Let l(o) = -o**2 + o + 1. Let x(r) = h(r) - 24*l(r). What is x(p(v))? -162*v**4 Let i(d) = d. Let y(q) = -1857*q**2. Determine y(i(s)). -1857*s**2 Suppose -4*f - 6*r + 3*r + 20 = 0, 0 = -4*f + 3*r - 4. Let n(v) = -2*v + 3*v + 4*v - f*v. Let b(i) be the third derivative of i**4/24 - i**2. Give b(n(c)). 3*c Let s(a) be the second derivative of 13*a**3/6 - 7*a. Let q(b) = 2*b**2. Determine q(s(l)). 338*l**2 Let d(y) = 43*y - 1. Let t(z) = -6*z**2 - z. Determine t(d(r)). -11094*r**2 + 473*r - 5 Let z(i) = 2*i**2 - 5*i + 5. Let d(s) = s**2 - 2*s + 2. Let k(y) = -10*d(y) + 4*z(y). Let x(m) = -15*m**2. Calculate k(x(n)). -450*n**4 Suppose 0 = -5*p + 5*z + 25, 0 = -3*p + z + 5 + 4. Let q(x) = 8 - 8 - 2*x**2 + x**p. Let j(n) = 2*n. Give j(q(h)). -2*h**2 Let w(m) = -19*m + 6*m + 15*m. Let b(o) = -3*o + 9. Let u(z) = z - 2. Let k(p) = 2*b(p) + 9*u(p). What is w(k(g))? 6*g Let o(y) = y. Let c(u) = 5*u**2 - 2*u - 6. Let h(s) = c(s) + 2*o(s). Let t(j) = j**2 - 1. Let r(d) = h(d) - 6*t(d). Let m(p) = 6*p**2. What is m(r(g))? 6*g**4 Let x(g) = -15*g - 1. Let b(l) = -3*l. Give x(b(h)). 45*h - 1 Let m(i) = 7*i**2 - 8*i**2 - 9*i**2. Let g(c) = 3*c**2. What is m(g(d))? -90*d**4 Let x(j) = j**3 + 5*j**2 + j + 2. Let d be x(-5). Let b(u) = -2*u. Let f(c) = 3*c. Let m(w) = d*f(w) - 4*b(w). Let h(o) = 8*o**2. What is h(m(y))? 8*y**2 Let n(q) = -4*q**2. Let d(m) = 2*m**2 + 31. Calculate d(n(u)). 32*u**4 + 31 Let i(h) = 4*h. Let o(f) be the third derivative of -f**4/24 - 3*f**2. Let b(s) = -3*s. Let y(t) = b(t) - 4*o(t). Calculate y(i(g)). 4*g Let f(q) = q. Let k(u) = -17*u**2 - 3. Let g(y) = -32*y**2 - 4. Let o(a) = -a**2 - 1. Let n(v) = -g(v) - 3*o(v). Let b(d) = -7*k(d) - 3*n(d). Give f(b(x)). 14*x**2 Let n(r) = 6*r. Let y(b) = 2*b + 5. Let x(m) = -1. Let d(o) = -5*x(o) - y(o). Give d(n(s)). -12*s Let i(x) = -30*x + 13*x + 15*x. Let j(b) = -5*b**2. What is i(j(y))? 10*y**2 Let o(n) = 18*n**2 - 6. Let h(g) = 12*g**2. What is h(o(p))? 3888*p**4 - 2592*p**2 + 432 Let s(c) be the third derivative of 13*c**4/8 - 4*c**2 + 2*c. Let m(i) = 2*i. Determine m(s(v)). 78*v Let g(m) = -2*m**2. Let r(s) = 32*s**2 - 11*s + 11. Let u be (-1 - -11)*(-6)/15. Let l(h) = -11*h**2 + 4*h - 4. Let f(a) = u*r(a) - 11*l(a). What is g(f(o))? -98*o**4 Let k(u) = -526*u**2. Let s(i) = -3*i. What is s(k(l))? 1578*l**2 Let n(c) = 4*c. Let r(q) = -q**2 + 24. Give r(n(h)). -16*h**2 + 24 Let d(o) = -87*o**2 + 13. Let z(a) = 2*a**2. Give d(z(r)). -348*r**4 + 13 Let r(m) = -3*m. Let h(s) be the third derivative of s**7/2520 + s**5/60 + s**2. Let w(o) be the third derivative of h(o). Determine r(w(b)). -6*b Let j(p) = -2*p**2 - 5. Let t(f) = -3*f. Let z(d) = d. Let b(k) = -t(k) - 5*z(k). Give j(b(r)). -8*r**2 - 5 Let j(t) = -t**2. Let h(q) be the second derivative of q**6/180 - q**3 - 6*q. Let v(l) be the second derivative of h(l). What is v(j(i))? 2*i**4 Let o(p) be the third derivative of p**5/20 - 18*p**2. Let q(f) = 8*f**2. Give o(q(d)). 192*d**4 Let n(b) = -b - 4. Let s(h) = -2*h. Calculate s(n(w)). 2*w + 8 Let s(m) = 7*m**2 - 22*m**2 + 8*m**2 + 5*m**2. Let a(z) = z. Give s(a(w)). -2*w**2 Let z(n) = 12*n. Let x(h) = -113*h**2. Calculate x(z(c)). -16272*c**2 Let q(p) be the second derivative of 7*p**4/4 + 8*p + 4. Let u(g) = 4*g**2. What is q(u(x))? 336*x**4 Let a(g) = 12*g**2. Let o(u) be the first derivative of 7*u**2/2 - 6*u + 1. Let d(h) = -6*h + 5. Let b(v) = -6*d(v) - 5*o(v). Determine a(b(w)). 12*w**2 Let v(z) = 10*z**2. Let u(k) = 17*k**2. Determine u(v(o)). 1700*o**4 Let k(m) = m**2. Let p(l) = l**3 + 6*l**2 - 7*l + 2. Let a be p(-7). Let z(b) be the second derivative of 0*b**a + b + 0*b**3 + 0 + 1/12*b**4. What is z(k(c))? c**4 Let a = 9 + -6. Let n = a + -1. Let b(x) = -x + x**n + x. Let t(r) = 2*r**2. Give t(b(m)). 2*m**4 Let a = 5 - -2. Let l(z) = -6*z + 3*z + z. Let o(w) = -3*w. Let j(d) = a*l(d) - 5*o(d). Let v(g) = 4*g**2. Calculate v(j(f)). 4*f**2 Let u(c) = -63*c**2. Let n(x) = 17*x. Calculate u(n(k)). -18207*k**2 Let u(b) = -3*b**2 + 6*b + 6. Let i(z) = 3*z**2 - 5*z - 5. Let s(p) = -6*i(p) - 5*u(p).
{ "pile_set_name": "DM Mathematics" }
Put -4, v, x in ascending order. -4, v, x Let x = 60 - 64. Put -3, -1, x, -9 in descending order. -1, -3, x, -9 Let s(a) be the first derivative of a**3/3 + 5*a**2 + 13*a + 3. Let x be s(-9). Sort -4, x, 5 in increasing order. -4, x, 5 Let a = 0 - 5. Let r = -32 - -34. Sort a, 4, r. a, r, 4 Let k = 0.07 - 3.07. Let a = 20 + -20. Let m = -4.7 + 5. Sort a, k, m in descending order. m, a, k Let h be -15*(1 - (2 + 0)). Suppose 4*i - h = -i. Put 4, i, 5 in decreasing order. 5, 4, i Suppose 8*q = 2*q - 24. Suppose 2*o - 5*o = -27. Suppose -o*x = -4*x. Put -1, x, q in decreasing order. x, -1, q Let j = -178 - -173.94. Let s = -0.06 - j. Sort -0.3, s, -17. -17, -0.3, s Let c be 8/(-6)*(-2)/8. Suppose 0 = -4*s - p + 62, 5*s + 2*p = 41 + 35. Let k be (s/6 - 1)*3. Sort -0.5, k, c in descending order. k, c, -0.5 Suppose -4*u + 11 = -5*g + 5, g - 4*u + 14 = 0. Let i(v) = -v**3 + v**2 + v - 5. Let q be i(0). Put g, -2, q in descending order. g, -2, q Let t = 7 - 3. Let p = -10 - -6. Put -5, p, t in descending order. t, p, -5 Let s = 78 + -1168/15. Let b(t) = 4*t + 8. Let y(o) = 5*o + 8. Let n(a) = -6*b(a) + 5*y(a). Let x be n(6). Put s, -0.1, x in descending order. s, -0.1, x Suppose -37 + 25 = 6*r. Put -1, -62, r in decreasing order. -1, r, -62 Suppose 3*x - 3*a - 15 = 0, 7 = -4*x + 3*x - 3*a. Sort -2, 3, x. -2, x, 3 Let r = -104 - -109. Sort -0.05, -2, r in descending order. r, -0.05, -2 Let d = -11.7 + 12. Sort -5, 2, d in descending order. 2, d, -5 Let t = 0 - 1. Let v = t + 0.7. Suppose g - 4 = -3*g. Sort 5, g, v in decreasing order. 5, g, v Let f = 92.5 - 92. Put f, 1, 0.04, 0 in decreasing order. 1, f, 0.04, 0 Suppose 5*i - 2*o = -19, 7*o = -3*i + 2*o - 30. Let w = i - -2. Suppose 2 = -4*p - 2. Sort p, 0, w. w, p, 0 Let d = -13 + 5. Let x = d - -11. Suppose -x*g = -11 + 8. Sort -5, g, 5 in descending order. 5, g, -5 Let y = -190 - -195.02. Let f = -5 + y. Sort f, 1, -4/5 in descending order. 1, f, -4/5 Let d be -4*3/(-18)*3. Sort d, 0, -4 in decreasing order. d, 0, -4 Suppose -3*j + 17 = 2*d + 7, -3*d = -5*j + 4. Let f be 2/(-9) - j/(-9). Suppose f = -3*l + 23 - 8. Put -2, -3, l in increasing order. -3, -2, l Let t = 3 + -2.88. Let y = 0.08 + t. Sort 1/3, -3, y in decreasing order. 1/3, y, -3 Let m be (-1)/((-2)/(-8) - 0). Suppose -5*h - 80 = 5*f, -5*h - f - 33 = 51. Let l be h/(-7) + (-12)/28. Put l, -1, m in increasing order. m, -1, l Let b = 7 + -12. Suppose 3*k = 5*y + 35, -3*y + 5*y = -4*k + 12. Let x = -5 - -4. Put b, y, x in increasing order. b, y, x Suppose -5*k - o - o + 23 = 0, -3*o - 28 = -5*k. Sort 3, 1, k. 1, 3, k Let o = -2/31 - -39/124. Sort o, 2/9, -1. -1, 2/9, o Suppose 4*h = k + 15, 0 = 3*h + 5*k + 1 + 5. Suppose -5*f + 2*r - 14 = 0, -16 = 4*f + 3*r + 9. Let o be 2/(-4)*(5 + -5). Put f, h, o in descending order. h, o, f Let x = -43 + 43.2. Put x, -0.2, -5, 3 in descending order. 3, x, -0.2, -5 Suppose 5*d = 5*x - 15 - 0, 0 = -4*d - 4*x + 12. Suppose d*u = 4*u - 8. Suppose 3*r = u*n + 3, 4*r + 2*n - 9 = 9. Sort 4, r, 0. 0, r, 4 Let h be 78/(-8) - (-1)/(-4). Let o be (-3)/h*(-10)/(-8). Let k = -735 - -737. Put -0.1, k, o in descending order. k, o, -0.1 Let q = -6 + -3. Let n = -9 - q. Put n, 2, 3 in descending order. 3, 2, n Let t be (2/(-1) - 1)/(-7) - 0. Let u = 2 - 4. Sort 7, u, t in ascending order. u, t, 7 Let w be 1*(0 + 0 + 1). Put 1/3, -3, w in decreasing order. w, 1/3, -3 Let x(f) = -1 + 4 + 2*f + 3 - 3*f. Let i be x(9). Sort i, 2/5, 4 in descending order. 4, 2/5, i Let x(u) = u**2 - 11*u - 136. Let p be x(18). Let a(o) = o - 3. Let l be a(3). Put p, 3, l in decreasing order. 3, l, p Let l(v) = v**3 - v**2 - 1. Let y be l(0). Let t be y*(0/2 + -1). Put 1/3, t, -0.2 in decreasing order. t, 1/3, -0.2 Let d(h) = -h + 5. Let n be d(9). Put 0, -3, n in descending order. 0, -3, n Suppose -t = 3*z + 4, -z + 3*t = 1 - 13. Suppose 3*j + 11 = 3*f - j, z = -j + 1. Sort f, -2, 4 in decreasing order. f, 4, -2 Let f(g) = g - 3. Let q be f(2). Let t(h) = h - 8. Let u be t(6). Suppose -w - 1 + 4 = 0. Put w, u, q in descending order. w, q, u Let j = 70 + -67. Suppose -4*m - z + 25 = 0, -2*m + 3*m + 4*z - 25 = 0. Let q = 7 - m. Sort j, -5, q in increasing order. -5, q, j Let q = 10 + -6. Let o = -11/2 - -5. Let h = -0.3 + 0.4. Put q, h, o in descending order. q, h, o Let g = 25/2 - 79/6. Let b = -10 - -5. Sort b, g, 3. b, g, 3 Let x = -12 + 6. Let w = 4.6 + -0.6. Put x, 1/7, w in decreasing order. w, 1/7, x Let t = -7 - -15. Let l = t + -5. Suppose l = 4*k - 3*k. Put k, 1, -4 in descending order. k, 1, -4 Let u(c) = c - 1. Let g be u(4). Suppose -3*f + 4*f = -2*w - 1, -4*w + 13 = -g*f. Suppose -17 = 3*i - 5*a + 6, 5*a = i + 21. Put f, i, 5 in ascending order. f, i, 5 Suppose -4*i - i = 0, 4*i + 4 = -y. Sort -8, -2, y, 4 in ascending order. -8, y, -2, 4 Let p be 2/(-6)*(-3 + (6 - -6)). Sort 1, p, 2, -5. -5, p, 1, 2 Let w be (3/((-9)/(-15)))/1. Let m(l) = l - 5. Let k be m(3). Put w, -1, k in ascending order. k, -1, w Let k = 51 - 42. Sort -5, k, 4 in descending order. k, 4, -5 Let l be -1*5*(-10 + 9). Put -2/11, l, 4 in decreasing order. l, 4, -2/11 Let l be 6/(-10)*6/(-9). Let s(o) = -3*o**3. Let b be s(-1). Put b, l, -3/2 in descending order. b, l, -3/2 Let f = 2 - -1. Suppose -2*w - 5 = -19. Let y be 1 + 1 + -7 + w. Sort -5, y, f in descending order. f, y, -5 Suppose -4*j + 30 - 6 = 0. Let o = j - 4. Suppose -12 = -5*k + 3*v, o*v = -4*k + 4*v + 10. Put 0, -2, k in ascending order. -2, 0, k Let z be 6*5/(30/4). Suppose -3*u + f - 8 = 6, z*u - 4*f = -16. Sort -4, 4, u. u, -4, 4 Let t be 1*-2*(-3)/6. Suppose -s = -0*s - t. Sort s, -4, 0 in ascending order. -4, 0, s Let c = 80 - 163/2. Sort 1, -4, c in increasing order. -4, c, 1 Let x = -9 + 8. Let y = x + 3. Sort y, 8, 3 in decreasing order. 8, 3, y Let s = -0.5 + 0. Let l = -0.08 + 0.28. Put s, 2/5, l in ascending order. s, l, 2/5 Suppose 0 = i - 5. Let t(c) = -i - 3*c + 6*c + 0 + c**2. Let m be t(-5). Sort 3, m, -3 in ascending order. -3, 3, m Let r be 1*(-2)/2*4. Let k(p) = -3 + p**2 + 0*p - 2 + 2*p. Let d be k(r). Put -4, -1, d in increasing order. -4, -1, d Let w = -4 + 3. Let b = -33.02 + 33. Sort 1, b, w in descending order. 1, b, w Let t = 1.3 - 1.86. Let i = -0.06 - t. Suppose 2 = -2*m + 4. Sort i, 3, m. i, m, 3 Suppose 0 = -a + 3 - 2. Let u be a - (8/3 + -2). Sort -6, -5, u. -6, -5, u Let f = 32 - 35.6. Let v = f + 0.6. Put -1, v, -1/6 in decreasing order. -1/6, -1, v Let a be 8 + 39/(-15) + 6/(-15). Sort 2, a, 1, -2 in increasing order. -2, 1, 2, a Let v = 47 - 63.6. Let z = v + 17. Sort 5, z, 0 in ascending order. 0, z, 5 Let f(o) = 2*o + 1. Let s be f(6). Suppose 3*d - 2*w = -s, -2*w + 1 = -3. Sort d, 0.3, -4 in descending order. 0.3, d, -4 Let h = 0.31 + 0.03. Let z = h + -0.04. Sort -0.3, -2/19, z in descending order. z, -2/19, -0.3 Let b = 11 + -7. Suppose -b*n = 8, 2*q = q - n + 3. Suppose q*w + 6 + 4 = 0. Sort w, 3, -1. w, -1, 3 Let z = 52617/20 - 2634. Let c = 22/5 + z. Let t = 5.28 - 0.28. Put c, t, 1/4 in descending order. t, c, 1/4 Let p be 348/420 + 2/(-5). Sort 0, -0.5, p. -0.5, 0, p Suppose g - 12 = -5*a, -g + 9 + 0 = 4*a. Sort a, 15, -5 in descending order. 15, a, -5 Let q = 0 - -23. Sort -0.3, 4, q in decreasing order. q, 4, -0.3 Let q be (-42)/8 + (-2)/(-8). Let z(y) = y**3 + 6*y**2 + 5*y + 4. Let s be z(q). Sort 2, -4, s in increasing order. -4, 2, s Suppose -16 = 4*x - 2*p, p - 5 + 0 = x. Let y = x - -4. Sort 5, -4, y in ascending order. -4, y, 5 Suppose -b + 2 + 1 = x, 0 = x + 3. Put b, -5, -2 in descending order. b, -2, -5 Let p = -0.1 - 0. Let h = 6 + 7. Let t = h + -9. Put p, t, 2 in increasing order. p, 2, t Let f(m) = -m**3 - 10*m**2 + 10*m + 8. Let z be f(-11). Let s = z - 14. Put -3, 7, s in increasing order. -3, s, 7 Suppose -5*f - a + 9 + 1 = 0, 0 = -f - 5*a + 2. Let n(c) = -3*c + 6*c - 2*c + 3. Let q be n(-4). Sort f, -4, q in descending order. f, q, -4 Suppose -o + 2*o - 22 = -5*x, 4*o + 5*x = 28. Suppose -3*i = -7*i + 12. Suppose 0 = -3*n - i*g, -3*g = n + 2*g + 12. Put o, n, 1 in ascending order. 1, o, n Suppose -5*i + 0*i + 4*k + 200 = 0, -3*k - 15 = 0. Let f = 50 - i. Let y be 6/(-18) + f/(-3). Put 4, 0, y in descending order. 4, 0, y Let g = 1 + -6. Let l be (1/2 - -1)*-2. Sort 1/2, g, l in decreasing order. 1/2, l, g Let b = 0 - 3. Let c(r) =
{ "pile_set_name": "DM Mathematics" }
2 j. 1/51 Four letters picked without replacement from uaalprpearap. Give prob of picking 1 u, 1 l, 1 a, and 1 p. 4/165 Three letters picked without replacement from {g: 3, f: 3, u: 1}. What is prob of picking 1 u and 2 f? 3/35 What is prob of picking 1 u, 1 n, and 1 d when three letters picked without replacement from dnuunddncutci? 27/286 Calculate prob of picking 1 x and 1 j when two letters picked without replacement from {x: 2, j: 5, y: 2, l: 8}. 5/68 Two letters picked without replacement from {k: 2, r: 4, z: 4, v: 1}. What is prob of picking 1 r and 1 z? 16/55 Two letters picked without replacement from {z: 7, h: 7, x: 5}. Give prob of picking 1 h and 1 z. 49/171 What is prob of picking 1 f and 1 z when two letters picked without replacement from {f: 5, z: 11}? 11/24 Two letters picked without replacement from {o: 1, y: 1, i: 1, n: 1, s: 1}. Give prob of picking 1 o and 1 n. 1/10 Two letters picked without replacement from {y: 1, e: 1, n: 1, t: 1, h: 1}. What is prob of picking 2 e? 0 Three letters picked without replacement from {w: 2, e: 4, l: 7, f: 2, j: 1, q: 1}. Give prob of picking 1 f, 1 l, and 1 w. 7/170 Three letters picked without replacement from {e: 3, z: 2, t: 7, j: 3}. Give prob of picking 2 j and 1 z. 6/455 Two letters picked without replacement from {v: 1, l: 2, a: 1, m: 3, i: 3}. What is prob of picking 1 v and 1 a? 1/45 What is prob of picking 1 s and 2 i when three letters picked without replacement from {i: 6, o: 2, f: 3, w: 2, s: 2}? 6/91 Four letters picked without replacement from {r: 3, f: 3, o: 7}. What is prob of picking 2 o and 2 r? 63/715 Calculate prob of picking 1 x and 1 t when two letters picked without replacement from btbbxmbttxtm. 4/33 Calculate prob of picking 1 a, 2 t, and 1 o when four letters picked without replacement from {a: 1, t: 1, h: 2, i: 3, v: 2, o: 3}. 0 Three letters picked without replacement from bcxbocbbocxbcxc. Give prob of picking 3 c. 2/91 Calculate prob of picking 2 i, 1 o, and 1 a when four letters picked without replacement from jalolilvljliilila. 3/595 Two letters picked without replacement from {m: 1, e: 1, c: 1}. Give prob of picking 1 c and 1 e. 1/3 Three letters picked without replacement from kcvqnnncnbkvnvvvq. Give prob of picking 2 c and 1 k. 1/340 Four letters picked without replacement from jqjqqqqjkeqeeq. Give prob of picking 2 e, 1 k, and 1 q. 3/143 Calculate prob of picking 3 l when three letters picked without replacement from {h: 2, l: 10, m: 3, y: 1, t: 1}. 3/17 Four letters picked without replacement from hhllrrhhrhlll. What is prob of picking 1 r and 3 h? 6/143 Four letters picked without replacement from {p: 2, t: 4}. What is prob of picking 2 t and 2 p? 2/5 Three letters picked without replacement from vvhrhvvvhhrh. What is prob of picking 3 h? 1/22 What is prob of picking 3 v when three letters picked without replacement from oviovvvviimiiivvvi? 7/102 What is prob of picking 2 i when two letters picked without replacement from aaaaaaiaiaaaaiiaaaa? 2/57 Calculate prob of picking 1 u, 1 l, and 1 b when three letters picked without replacement from huuaulahubauu. 3/143 Two letters picked without replacement from ucuusuukcskuxxukuxu. Give prob of picking 2 x. 1/57 Two letters picked without replacement from {w: 1, d: 1, l: 1, e: 1, t: 1}. Give prob of picking 1 e and 1 t. 1/10 Four letters picked without replacement from unnuunuuuuuu. What is prob of picking 4 u? 14/55 Calculate prob of picking 1 o and 1 p when two letters picked without replacement from dpprppieoidppprdeppi. 9/190 Two letters picked without replacement from {a: 1, c: 12, j: 7}. Give prob of picking 1 c and 1 a. 6/95 Four letters picked without replacement from {n: 2, b: 5}. What is prob of picking 3 b and 1 n? 4/7 Three letters picked without replacement from wwwawwwaaww. What is prob of picking 3 w? 56/165 Three letters picked without replacement from {h: 2, l: 1, s: 1, t: 1}. Give prob of picking 3 l. 0 Calculate prob of picking 3 i when three letters picked without replacement from iqqqifqgiqiiqii. 1/13 Four letters picked without replacement from {a: 6, x: 9, m: 4}. Give prob of picking 4 m. 1/3876 Two letters picked without replacement from {e: 4, f: 3, u: 1}. What is prob of picking 2 f? 3/28 Four letters picked without replacement from {w: 1, f: 16, y: 1}. What is prob of picking 4 f? 91/153 Calculate prob of picking 3 d and 1 w when four letters picked without replacement from wwdwddddwwdd. 35/99 What is prob of picking 1 x and 1 s when two letters picked without replacement from didispsoddxi? 1/33 What is prob of picking 4 e when four letters picked without replacement from {e: 7, w: 9}? 1/52 Two letters picked without replacement from jvjhyvijhigi. What is prob of picking 1 h and 1 i? 1/11 Calculate prob of picking 1 i, 1 n, and 2 f when four letters picked without replacement from {o: 1, i: 1, f: 9, n: 1}. 4/55 Two letters picked without replacement from ybvvyvbvmbybyvk. Give prob of picking 1 m and 1 k. 1/105 Calculate prob of picking 1 u and 1 w when two letters picked without replacement from wwtuh. 1/5 Three letters picked without replacement from {m: 1, p: 3, z: 3, n: 1, r: 8, w: 2}. Give prob of picking 1 m, 1 n, and 1 z. 1/272 What is prob of picking 2 p when two letters picked without replacement from {p: 11, q: 2}? 55/78 Calculate prob of picking 2 j when two letters picked without replacement from jbibiiibbjsjibbbbjjb. 1/19 Four letters picked without replacement from {m: 2, h: 4}. What is prob of picking 1 m and 3 h? 8/15 Three letters picked without replacement from {m: 4, y: 3, d: 3, k: 2, c: 7}. Give prob of picking 2 k and 1 c. 7/969 Two letters picked without replacement from {c: 3, s: 6, b: 6}. Give prob of picking 1 c and 1 b. 6/35 Four letters picked without replacement from {l: 5}. Give prob of picking 4 l. 1 Calculate prob of picking 1 q, 1 u, and 1 r when three letters picked without replacement from yyyymyuuyryreqyum. 3/340 Three letters picked without replacement from qgppprqgfqggq. What is prob of picking 1 q and 2 g? 12/143 Four letters picked without replacement from jttjjtjj. What is prob of picking 3 t and 1 j? 1/14 Three letters picked without replacement from nnynbynmynmnnbnymynb. What is prob of picking 3 n? 7/95 Three letters picked without replacement from {n: 1, f: 1, q: 2, d: 1}. What is prob of picking 2 q and 1 n? 1/10 Three letters picked without replacement from {v: 4, p: 2}. What is prob of picking 1 p and 2 v? 3/5 What is prob of picking 1 m and 2 t when three letters picked without replacement from {y: 2, t: 6, m: 1, d: 4}? 15/286 Four letters picked without replacement from eeekeaehklhe. What is prob of picking 2 h, 1 k, and 1 a? 2/495 Calculate prob of picking 1 r and 1 c when two letters picked without replacement from {a: 1, c: 5, r: 9, u: 5}. 9/38 What is prob of picking 2 s when two letters picked without replacement from {s: 4, l: 7}? 6/55 What is prob of picking 1 n and 3 j when four letters picked without replacement from ljjlnwnnjjnssn? 20/1001 Calculate prob of picking 1 e and 3 f when four letters picked without replacement from ffefffff. 1/2 What is prob of picking 2 l and 1 r when three letters picked without replacement from {g: 2, l: 2, x: 2, r: 7, i: 4}? 7/680 Calculate prob of picking 1 k and 2 v when three letters picked without replacement from qqvddvbbvqbvvkqqvqq. 5/323 What is prob of picking 1 a and 1 c when two letters picked without replacement from {c: 3, a: 7}? 7/15 Four letters picked without replacement from {q: 9, u: 5, v: 2}. What is prob of picking 1 q, 1 u, and 2 v? 9/364 Calculate prob of picking 1 j and 1 d when two letters picked without replacement from jjdmjjdtdtmfdm. 16/91 Two letters picked without replacement from {m: 2, q: 1, z: 2}. Give prob of picking 1 m and 1 z. 2/5 Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, h: 5, w: 1, q: 6}. 1/35 Calculate prob of picking 1 d, 1 c, and 1 y when three letters picked without replacement from fddfcyfddd. 1/24 What is prob of picking 2 l when two letters picked without replacement from alalaaaaa? 1/36 What is prob of picking 2 o when two letters picked without replacement from xxxxxxxxxeoxeoxeooex? 3/95 Two letters pi
{ "pile_set_name": "DM Mathematics" }
*y**c = 0? -1/35, 0, 1/3 Suppose 0 = -o - 0. Let w = -1268/5 + 254. Factor 2/5*j + o + 4/5*j**2 + w*j**3. 2*j*(j + 1)**2/5 Let h be (-8)/(-10)*(3 - -2). Let q be (h/6)/((-304)/(-42) + -7). What is j in -18/5*j**2 - 4/5 - 2/5*j**4 - q*j - 2*j**3 = 0? -2, -1 Let s = 10783 - 10738. Let p(h) be the third derivative of 0*h**4 - 1/40*h**5 + 0*h - 1/160*h**6 + 0 + s*h**2 + 0*h**3. Factor p(x). -3*x**2*(x + 2)/4 Let w(b) be the second derivative of b**6/10 + b**5/20 - 8*b - 35. Factor w(d). d**3*(3*d + 1) Let y(h) = 103*h**2 - 7*h - 11. Let l be y(-3). Suppose 281556 - 2841556 - 263*k**2 + 96000*k - l*k**2 + 5*k**3 = 0. Calculate k. 80 Let f(b) = -19728*b - 4*b**2 + 65 + b**2 + 19684*b. Let r(z) = -z**2 - 22*z + 33. Let n(k) = 3*f(k) - 7*r(k). Factor n(y). -2*(y - 9)*(y - 2) Let s(i) = -i + 23. Let m be s(15). Let n be (27/6)/9*m. Determine f so that -n*f**3 + 32*f**2 - 32*f**2 - 2*f**4 = 0. -2, 0 Suppose 21*q + 10*q - 12*q + 17*q = 0. Let x(y) be the second derivative of -8/3*y**3 + 1/3*y**4 + q + 4*y + 0*y**2. Let x(c) = 0. What is c? 0, 4 Let i(m) = m**3 + m**2 + 10*m - 25. Let g be i(5). Let w = -172 + g. Factor 3 - 18*d**2 - 9/2*d - 21/2*d**w. -3*(d + 1)**2*(7*d - 2)/2 Let n(i) be the first derivative of i**6/2 - 79*i**5/5 + 9*i**4/4 + 141*i**3 + 244*i**2 + 156*i - 1108. Suppose n(c) = 0. Calculate c. -1, -2/3, 3, 26 Let o(j) = -54 - j - 12*j + 22*j. Let p be o(14). Determine x, given that -p*x**3 + 8*x**4 + 168*x**3 + 4*x**2 - 78*x**3 = 0. -2, -1/4, 0 Let v(k) = -690*k - 687. Let a be v(-1). Let i(u) be the second derivative of -4/3*u**a + 16*u - 3*u**2 - 1/6*u**4 - 1. Find w, given that i(w) = 0. -3, -1 Let t(q) = 10*q**3 + 8396*q**2 - 8811608*q - 3. Let x(m) = 4*m**3 - 2*m - 1. Let p(k) = -2*t(k) + 6*x(k). Factor p(f). 4*f*(f - 2099)**2 Let u(k) be the second derivative of -k**5/60 + k**4/6 + k**3/18 - k**2 - 219*k. Factor u(f). -(f - 6)*(f - 1)*(f + 1)/3 Let j be 3*(-3)/(-3) + (-1 - -31). Let o = j + -31. Let 1 + 3*t + 104*t**2 - 5 - 102*t**o - t = 0. What is t? -2, 1 Determine j so that 2619/2 + 1308*j - 3/2*j**2 = 0. -1, 873 Let t(d) be the second derivative of 19*d**6/105 - 97*d**5/70 + 67*d**4/42 + 55*d**3/7 - 18*d**2/7 + d - 47. Determine c so that t(c) = 0. -1, 2/19, 3 Let c(s) be the second derivative of 5*s**4/12 + 55*s**3/6 + 60*s**2 + 18*s + 14. Let c(g) = 0. What is g? -8, -3 Let s = 7482336/7 + -1068904. Let x be ((-16)/28)/((-1)/10). Factor -50/7 - x*j - s*j**2. -2*(2*j + 5)**2/7 Let o(q) be the first derivative of q**3/12 + q**2/2 - 45*q/4 + 834. Factor o(t). (t - 5)*(t + 9)/4 Let c(y) be the third derivative of -1/6*y**3 - 4*y**2 + 0*y - 1/160*y**6 + 7/240*y**5 + 0*y**4 + 13. Solve c(x) = 0 for x. -2/3, 1, 2 Find l such that -282/7*l**3 - 288/7 - 888/7*l - 18/7*l**4 - 864/7*l**2 = 0. -12, -2, -1, -2/3 Factor 4/3*p**2 + 0 + 0*p + 54*p**5 + 170/3*p**3 + 328/3*p**4. 2*p**2*(p + 1)**2*(81*p + 2)/3 Let q(i) be the second derivative of 1/70*i**6 - 4/7*i**3 - 9/14*i**2 - 3/14*i**4 + 3 + 0*i**5 + 14*i. Determine k so that q(k) = 0. -1, 3 Suppose -11*j = -30 - 3. Solve -3645 + m**5 + 4*m**5 + 1490*m**j - 121*m**4 + 7471*m + 1034*m - 6210*m**2 - 24*m**4 = 0. 1, 9 Let 2295/4 - 10*o**3 + 315/2*o**2 - 5/4*o**4 - 540*o = 0. What is o? -17, 3 Let g(n) = 14*n**3 - 2*n**2 - 4*n + 4. Let z be g(1). Suppose 3*b = -u + 7*b + z, u = 2*b + 6. Factor 2/3*m**2 + 1/3*m + u. m*(2*m + 1)/3 Let j(m) be the second derivative of m**4/42 - 30*m**3 + 14175*m**2 + 45*m - 12. Determine p, given that j(p) = 0. 315 Let m(d) be the first derivative of 3/5*d**5 + 135/4*d**4 - 156 + 10125/2*d**2 + 0*d + 675*d**3. Factor m(q). 3*q*(q + 15)**3 Suppose 5*s = -k + 1, 3*k - 11 = -s - 8. Let b(h) be the third derivative of 0*h**4 + s*h**3 + 1/180*h**5 + 0 + 0*h + 20*h**2. Factor b(g). g**2/3 Let f be (-6 - (-147)/12)/((-1)/4). Let c = f + 51. Factor -10*n + n + c - 6*n**2 - 35*n + 6. -2*(n + 8)*(3*n - 2) Let u = -23 + 22. Let z be 99/495 + 2 + u. Suppose -z*a**3 - 6*a - 36/5 + 32/5*a**2 = 0. What is a? -2/3, 3 Let j(n) be the third derivative of -n**4/24 + n**2 + 85. Let u(m) = m**2 - 6*m - 6. Let h(r) = -5*j(r) + u(r). Factor h(g). (g - 3)*(g + 2) Let z(i) be the first derivative of -i**6/360 - i**5/12 - 3*i**4/8 - 11*i**3 + 25. Let k(o) be the third derivative of z(o). Solve k(s) = 0 for s. -9, -1 Let x(m) be the second derivative of -3 + 0*m**2 + 37/2*m**3 + 16*m + 1/4*m**4. Solve x(q) = 0. -37, 0 Let v = -44188/3 - -14750. Factor -16/3*p**3 + 2 - 40/3*p - v*p**2. -2*(p + 1)*(p + 3)*(8*p - 1)/3 Suppose 0 = 4*p - 2*i + 5*i - 4, 4*p = -i + 12. Suppose 3*j = -3*d + 330 - 21, p*d - 424 = 2*j. Let -y**3 + y**4 - 3*y**2 + 2*y**3 - d - y + 107 = 0. What is y? -2, -1, 1 Let b(r) be the first derivative of 2*r**3/9 - 81*r**2 + 484*r/3 + 948. Determine w, given that b(w) = 0. 1, 242 Let y(c) be the second derivative of -2*c**7/63 + 17*c**6/15 + 8*c**5/3 + 3*c**4/2 - 1604*c. What is g in y(g) = 0? -1, -1/2, 0, 27 Let x(u) be the first derivative of 5*u**3/3 + 1265*u**2 - 6691. Factor x(c). 5*c*(c + 506) Let n = 1 - 1. Suppose n = 5*s - 0*s - p - 11, -s - 2*p = 0. Factor -6*y**s - y**3 + 3*y**3 - 29*y**3. -3*y**2*(9*y + 2) Let d = 303855 + -303850. Let -5/3*y**4 + 7/3*y**3 - y**2 + 1/3*y**d + 0*y + 0 = 0. What is y? 0, 1, 3 Factor -77*p - 624*p**4 + 622*p**4 - 106*p**2 - 45*p + 12*p + 108 + 110*p**3. -2*(p - 54)*(p - 1)**2*(p + 1) Factor -245 - 495*o + 172*o**2 - 357*o**2 + 175*o**2. -5*(o + 49)*(2*o + 1) Suppose 48426 = 10*z - 22834. Factor -z + 288*o - 209*o**2 + 214 + 206*o**2. -3*(o - 48)**2 Let r(m) = -2*m**2 - m + 1. Let a(c) = -11*c**2 + 20 - 17*c**2 - 12*c - 20*c - 8. Let o(k) = a(k) - 12*r(k). Determine g so that o(g) = 0. -5, 0 Let n(l) = -365*l**2 - 1355*l - 1540. Let q(g) = 53*g**2 + 193*g + 220. Let x(b) = 8*n(b) + 55*q(b). Suppose x(d) = 0. Calculate d. -44, -1 Factor 1/2*x**2 - 11*x - 2 + 11/4*x**3. (x - 2)*(x + 2)*(11*x + 2)/4 Let v = -4594 + 6440. Let n = v - 9132/5. Factor -2/5*r**2 + 28/5*r - n. -2*(r - 7)**2/5 Let c = 31 + -27. Factor 4*i**2 - 36*i - 7 - 34 + c*i**3 + 5. 4*(i - 3)*(i + 1)*(i + 3) Let j(g) = g**3 + 40*g**2 + 665*g + 3370. Let o = 618 - 612. Let i(a) = -a**3 - 39*a**2 - 663*a - 3369. Let p(b) = o*j(b) + 5*i(b). Factor p(c). (c + 15)**3 Let g(f) be the third derivative of f**5/12 + 85*f**4/6 + 335*f**3/6 + 1882*f**2. Factor g(u). 5*(u + 1)*(u + 67) Let n(o) be the third derivative of o**8/168 - o**7/105 - o**6/30 - 42*o**2 - 7. Suppose n(s) = 0. Calculate s. -1, 0, 2 Factor 100*q**2 + 28*q + 9*q - q**5 - 8*q**3 + 65*q**3 - 14*q + 8*q**4 + 29*q. -q*(q - 13)*(q + 1)*(q + 2)**2 Factor 1/4*r**3 - 565609283/4 - 2481/4*r**2 + 2051787/4*r. (r - 827)**3/4 Determine j, given that -1543/3*j + 2/3*j**2 + 257 = 0. 1/2, 771 Suppose -52 = -7*r - 25*y + 27*y, 0 = -5*r - 5*y - 40. Let -1/4*j**r + 13/4*j**2 - 1/4*j**5 + 9/4*j**3 - 2*j - 3 = 0. Calculate j. -2, -1, 1, 3 Suppose 204/5*b - 62/5*b**2 + 0 - 2/5*b**3 = 0. What is b? -34, 0, 3 Let r be ((-2)/(-24))/((-239)/(-2151)). Let 0 + r*y**3 + 18*y + 21/2*y**2 = 0. What is y? -12, -2, 0 Let l(m) be the third derivative of -m**6/660 - 2*m**5/33 - 7*m**4/12 + 98*m**3/33 + 5*m**2 - 12*m + 6. Suppose l(b) = 0. Calculate b. -14, -7, 1 Let b be (-3 - (3 - 153)) + (1 - -3). Let y = -149 + b. What is c in 2/7*c**4 + 0 + 2/7*c**5 + 6/7*c**y - 10/7*c**3 + 0*c = 0? -3, 0, 1 Let r(z) be the third derivative of z**6/30 - 210*z**5 + 551250*z**4 - 771750000*z**3 - 4187*z**2. Let r(f) = 0. Calculate f. 1050 Let q = 19 + -11. Suppose 25 = -q*h + 41. Solve 2*c**3 + 17 - 17 - 6*c**2 + 4*c**h = 0 for c. 0, 1 Let n(m) be the first derivative of -m**6/40 + 3*m**5/16 - 3*m**4/16 - 9*m**3/8 + 143*m - 50. Let j(p) be the first derivative of n(p). Factor j(t). -3*t*(t - 3)**2*(t + 1)/4 Let p be ((-583)/2)/(808/(-80) - -10). Factor -10*w**2 + p*w**3 + 5*w**4 - 5*w**2 - 2925*w**3. 5*w**2*(w - 3)*(w + 1) Let w be ((-50)/80)/(880/(-61248)). Factor -924*g + 968 - 1/2*g**3 - w*g**2. -(g - 1)*(g + 44)**2/2 Suppose -12 = 4*a, -43 - 38 = -4*v - 5*a. Suppose 6*c - v = -0*c. Let 15*q**3 - 2*q + 10*q**3 - 33*q**c + 5*q**2 + 48*q**4 - 3*q = 0. What is q? -1, 0, 1/3 Solve -7*c**2 + 50*c - 125*c + 2*c**2 - 4*c**2 + 4*c**2 - 180 = 0. -12, -3 Let v(k) = -448*k**3 + 2315*k**2 - 3449*k - 72. Let i(l) = -460*l**3 + 2314*l**2 - 3450*l - 72. Let o(s) = 5*i(
{ "pile_set_name": "DM Mathematics" }
suming f is positive. f**(-204/13) Simplify (l**(-2/3)*(l/(l**(5/4)*l*l))/l*l)/(l**(-2))**(1/3)*(l/(l**(-13)*l)*l**(-4/13))**(-1/20) assuming l is positive. l**(-75/26) Simplify ((h**(-2))**(1/22)*(h*h*h/h**(5/7)*h)/(h/((h/(h**(-19)/h)*h)/h)))**(-2/105) assuming h is positive. h**(-3572/8085) Simplify (l**0/l)/((l/(l/(l*l**9)*l))/l)*(l**1*l)/(l/(l*l**(4/3)))*(l**(-2))**(4/7)/(l*l**2*l)**(-1/24) assuming l is positive. l**(-93/14) Simplify (p/(p*p*p/(p*p*p**(10/9))))/(p/p**(-14/5)*p)*(p/p**(-2/133))**26 assuming p is positive. p**(135872/5985) Simplify (d**(-1/50)*d)**(-2/5)*((d**0*d)/d)/d**(-1/6) assuming d is positive. d**(-169/750) Simplify ((w**(-1)/w)**(5/2))**(2/131)/((w/(w/(w/(w*w*w**0)*w)))**(1/75)*(w**1/w)**(2/3)) assuming w is positive. w**(-10/131) Simplify (((x/((x*x/(x/x**41))/x))/x**(-2/5))/(x*x*(x*x*x**(-2/77))/x*x*x*x**6))**(-16) assuming x is positive. x**(311536/385) Simplify ((p*p*p**(-1/6))/p**2*(p*(p*((p**(2/5)*p)/p)/p)/p)**(-3/31))/(((p*p*((p**(-2/3)/p)/p)/p*p)/(p/p**(-4/7)))/(p**(-1))**(-29)) assuming p is positive. p**(67341/2170) Simplify ((g/(g*g**(-5)*g))**(1/15)/(g/(g/(g/g**7))*(g*g**(-13))/g))**(-1) assuming g is positive. g**(-289/15) Simplify (m**3*m*m**(3/4))/(m**0)**(-2/3)*(m**(-1)*m)**(-1/2)*m**(-4)*m*((m**(-2)/m)/m*m)/m assuming m is positive. m**(-9/4) Simplify ((w**1)**(2/7)*((w*(w/(w*w/w**(-2)*w*w))/w)/w)/(w/(w**0*w*w)*w))/((w**(-1))**9*((((w**(-1/4)/w)/w)/w*w*w)/w)/((w*w**(-3/5))/w)) assuming w is positive. w**(691/140) Simplify (o*o**0)**48*o**7*o*o*(o*o/o**(1/2))/o*o*(o**(2/5))**0/(o**(2/29)*o**(-3)/o) assuming o is positive. o**(3621/58) Simplify n**5*(n**(1/6)*n)/n*(n*n**(-7)*n)/(n/n**(-2/17))*(n**(1/6)*n**(-1)/n)/((n*n**(-2/5))/n*n*n**(-3/10)) assuming n is positive. n**(-1573/510) Simplify (((n**7*n**(7/5))**(-27))**(-31))**(-46) assuming n is positive. n**(-1617084/5) Simplify ((a**1*a)**(-47))**(-13/3)/((a**(1/4))**(1/38)*a/a**2*(a*((a*a/(a**2/a))/a)/a*a)/a) assuming a is positive. a**(186197/456) Simplify ((l/(l*l**(-2)))**(14/3)*(l/(l**(4/9)/l*l*l*l))/((l*l**(-7)*l)/l))/((l**(-2))**15*l*l**(-2/15)*l/(l/l**(4/5))) assuming l is positive. l**(380/9) Simplify ((b**1*b)**(-2/31)/(b**2*b)**36)/((b/(b/b**(2/7)))**(9/4))**(-40) assuming b is positive. b**(-17884/217) Simplify (y**(-4)/y*y/((y/(y*y**2*y*y))/y)*y*y)/(y**1*y*y**(5/4))*(y**(2/3)/y**(-10))**18 assuming y is positive. y**(767/4) Simplify (v**2*v*v**(-5))/(v**5/((v*v/(v*v**3))/v))*v*v**4*v*v**0/v*v**1*v*(v*v**(-6))/v assuming v is positive. v**(-9) Simplify ((m*m**(2/3))**(-6/13))**(-8)/((m*m*(((m/(m**(-1)*m))/m)/m)/m*m*m)**50)**(19/6) assuming m is positive. m**(-12110/39) Simplify (w/w**(-1)*w*w**5*w**(-4/9)*(w**(2/5)/w)/w)/((((w/w**(-1/10)*w)/w)/w**3)/(w**(-5)/(w*w/w**2))) assuming w is positive. w**(257/90) Simplify (c/((((c*c**(2/5))/c)/c*c)/c))**(-26)/(c/(c/((c**0*c*c)/c)))**(-6)*c**(-2/7)/c*c/c**(-2)*(c*c**(-7)/c)/c**6 assuming c is positive. c**(-1641/35) Simplify (u**5/(u*(u**(2/3)*u)/u*u)*u**(-2)*u*u*u*u**1)/((u/(u/u**(-3/4)))/(u/u**(-4)))**(2/47) assuming u is positive. u**(1291/282) Simplify ((((d/d**(-1/2))/d)/d**(2/3)*d/(d**0/d)*d*d**(-2/15))**(5/16))**(-1/8) assuming d is positive. d**(-27/256) Simplify ((h/h**(-2/7))**(-41)/(h*h**(2/5))**(2/9))/((h*h/(h*(h*h*h*h**0)/h*h*h))**(-25/2)/(h/h**(-2)*h*h)**30) assuming h is positive. h**(37469/630) Simplify ((u**(-3/37)*u*u*u/u**9*u)/(u**19*u*u**37*u))**(-23) assuming u is positive. u**(53682/37) Simplify ((((h**(2/5)*h*h)/h**(-11))/(h**9/(h**(-3)/h)))**(1/4))**(-29) assuming h is positive. h**(-29/10) Simplify ((l*l**(1/5))/l**(-5/6)*((l**1*l)/l)**(1/49))/(l**(-2/5)/(l/l**0)*(l*l/l**(1/3))**(-40)) assuming l is positive. l**(34359/490) Simplify (((z**1*z)/z)**1*(z/(z**(-5)*z))/z**(-2/9))/((z/(z*z/z**(2/7)*z*z))**26*(z/(z*z**5)*z)/z**(-2/15)) assuming z is positive. z**(25408/315) Simplify ((i*i/(i/((i*i*i**5)/i)*i)*i)/(i*i/(i*i**(2/5)))*i**(-1)*i*i*i**6*i)/(i**(-1/3)/(i/(i/(i/(i/((i*i/i**4)/i))))))**(14/9) assuming i is positive. i**(1384/135) Simplify (r**(1/2))**(-1/14)/(r*r**1)**(-43)*(r/(r/(r**(-1)/r)))**(-15/2)/((r*r*(r*r**(-2/3))/r)/((r/r**(4/7)*r*r*r*r)/r*r*r)) assuming r is positive. r**(8825/84) Simplify ((o/o**1)**(-2/41))**(32/7)*((o**1)**(2/5))**(-7/8) assuming o is positive. o**(-7/20) Simplify (g*g*g**(-1/5)*g**(-1/4))**4/((g*g**0)**(-6/31))**(11/6) assuming g is positive. g**(1016/155) Simplify (x**(-1))**10*x**(1/8)/x*x*x**(-2/3)*(x**1)**(-25)*x**(-4/9)/(x**(-2)*x) assuming x is positive. x**(-2519/72) Simplify (t/(t**(-1/6)*t))/(t*t**7)*t*(t**(2/17)/t*t)/t*t*t*t**5*t**(-2/13)/(t*t**(1/3)*t)*t*((t/t**(-1/3)*t)/t)/t*t*t/t**(2/31)*t assuming t is positive. t**(43817/41106) Simplify (p/(p/(p/(p**(-5/7)/p)))*(p/(p*p/p**(1/3)*p*p*p))/p*p*p/(p/((p*p/(p**(1/6)*p)*p*p)/p))*p*p/(p*(p*p**(-25)/p)/p))**1 assuming p is positive. p**(1171/42) Simplify k/(k*(k*k**(-2/5))/k)*(((k/((k*k/(k*k**(-30)*k))/k))/k*k)/k*k)/k*k**(-13/5)/((((k/((k*k**(-28))/k))/k)/k)/k) assuming k is positive. k**(-286/5) Simplify ((h**(3/7)/(h*h**(2/15)*h*h)*(((h/h**(-4)*h)/h)/h)/h*h*h**(-2/23))**(4/7))**(4/15) assuming h is positive. h**(46688/253575) Simplify ((u/u**(-2/15))/(u*u**7/u))**(-6)/((u**0/u)/(u**(6/7)/u)*u*u/(u**(-7/5)/u)*u*u**(-1/4)) assuming u is positive. u**(4327/140) Simplify (p**(-5)*(p/p**1)/p)**(-3/10)*(p*p*p**(2/19)*p)/((p*p**(-4))/p)*p**1*p**(2/13) assuming p is positive. p**(12423/1235) Simplify (n**1/(n*n/n**(3/7)*n))**9*(n**(-1))**(-16)/(n*n*n**(-1/4)*n*n)**(-4) assuming n is positive. n**(118/7) Simplify (q*(q/q**4)/q*q*q**1)/(q**(-2/5))**(1/18)*((q**(-1)/q)/q*q)**(-3)*((q/(q**4*q*q)*q)/q)/(q**(2/7)/q) assuming q is positive. q**(232/315) Simplify (i**(-1/9)*i*i)**21/(i**(-30))**(-48) assuming i is positive. i**(-4201/3) Simplify (((x**(-11)/x**(-21))**(-1/31))**(-32))**44 assuming x is positive. x**(14080/31) Simplify ((r**(1/9)/r*r)/r**(-2/13)*r**(-5)/(r/r**(1/12)))/((r**(-1))**(-2/9)/(((r*r**2*r*r)/r)/r*r*r*r/(r/r**(1/12)))) assuming r is positive. r**(-185/234) Simplify i**(-27)*i**(2/79)*i*(i*i**(-36))/(i**(14/3)*i) assuming i is positive. i**(-15794/237) Simplify ((x**4/(x/(x**(-5)*x)))**(-16))**(-39) assuming x is positive. x**(-624) Simplify (o**(-6)/o**7*o/o**(-1)*o*o**(-2/3))/((o/o**2)**(-17)*o**3/(o*o*o/(o**7*o*o))) assuming o is positive. o**(-110/3) Simplify (b**5/(b*b/(b**(-2)*b)))**(-2/29)*(b**(-2/5))**(-29)/(b/(b*b**(-1/2)*b)*b**(1/8)) assuming b is positive. b**(13731/1160) Simplify ((f**(-2/7))**(-1/28)*f**(-11)/(f*f**(-1/18)/f))**(-3) assuming f is positive. f**(4822/147) Simplify ((h/h**(-2/5))**40)**(-2/97)/(h**(2/21)*h/(h*h/((h*(h/h**6)/h)/h)))**(-20/7) assuming h is positive. h**(-297764/14259) Simplify ((f*(f*f**8)/f*f/((f**(3/8)*f*f)/f))/(f/f**(-1))**1)**(-1/7) assuming f is positive. f**(-53/56) Simplify (((((((y*y/y**(-2/7))/y)/y*y)/y)/y*y)**(1/10)*y**6*((y*y**(-6))/y)/y)**(-13))**(-6) assuming y is positive. y**(-2652/35) Simplify ((f**(3/8))**(-8/3)*(f*f**13*f*f)/f*f*f*f**(-2)/f)**(-13) assuming f is positive. f**(-169) Simplify ((y**8/y)/y**(1/11))**(-2/41)/((y**(-2/9))**7/(y/y**5*y**(-1/3)*y)) assuming y is positive. y**(-8584/4059) Simplify (q**(-19)/(q/q**(19/3))*(q*q/(((q/q**(-14/5))/q)/q)*q)/((q*((q**(1/8)*q)/q)/q*q*q)/q))**(-11) assuming q is positive. q**(17941/120) Simplify (a*a**(7/5)*a/(a*a/(a**6/a*a*a)))**7*(a**1*a)**25/(a**(-1)*a)**(-27) assuming a is positive. a**(544/5) Simplify (a**(-28))**(2/5)/(a**(2/67)/(a**(-4/17)*a)) assuming a is positive. a**(-59599/5695) Simplify (h**(-1/2)*h/((h*h**(-5))/h))**(27/7)/(((h/h**(1/4))/h)**(-43)*(h/(h**5*h))/((h**6/h)/h*h)) assuming h is positive. h**(573/28) Simplify w/(w/(w**(-1/13)/w))*w**(-32)*w*w*w*w**34*w*w/w**27 assuming w is positive. w**(-274/13) Simplify (x**(-4/7)*x*x**42)/(x*x*x**45*x*x*x/x**(-17)) assuming x is positive. x**(-172/7) Simplify (((b/b**(-1/4))/b)**48/(b**0)**(-19/4))/((b/(b*b**(-3)))/(b/b**7*b))**(-48) assuming b is positive. b**396 Simplify ((o*o**(-6)/o)/o**(-2/13))**43/(((o/o**6*o)/(o*o**0))/(o**(-3)*o*o**(-2/7))) assuming o is positive. o**(-22629/91) Simplify (p**(-5)*p*p**(-1)/p)**35/((p*p**4*p/((p*(p/p**(-1/12)*p)/p*p)/p))/(p**(-7)/(p*(p/p**(1/5)*p)/p*p))) assuming p is positive. p**(-13423/60) Simplify (f**(-2)/((((f*f**(-5/3))/f)/f)/f))**(-36)*(f**(-4)/f**(-6)
{ "pile_set_name": "DM Mathematics" }
m(i(t)). 3366055*t**2 Let s(d) = -4*d**2 - 66 + 66. Suppose 2*a = -2*a + 44. Let m(g) = 25*g**2 - 11*g - 11. Let t(j) = 5*j**2 - 2*j - 2. Let w(q) = a*t(q) - 2*m(q). Give w(s(n)). 80*n**4 Let s(u) = -4*u + 109. Let m(j) = 350*j. Calculate s(m(x)). -1400*x + 109 Let o(g) = 24*g + 105. Let y be o(-4). Let v(p) = y*p**2 + 6*p**2 - 28*p**2 + 18*p**2. Let b(j) = 46*j**2. What is v(b(n))? 10580*n**4 Let n(q) = 4*q. Let a(f) = -f**2 + 21 - 10 - 9 + 9*f. Let k be a(9). Let j(o) = -3*o - 2 + k + o. Determine j(n(w)). -8*w Let y(g) be the second derivative of 29*g**4/6 + 563*g. Let s(a) = -2*a**2. Give y(s(m)). 232*m**4 Let d(n) = -276*n. Let a(z) be the second derivative of -11*z**3/6 - 12112*z. Give d(a(y)). 3036*y Let l(c) = 11070270*c. Let k(w) = -w**2. What is l(k(g))? -11070270*g**2 Let y(d) = 11193182*d. Let j(f) = -3*f. Calculate y(j(s)). -33579546*s Let b(j) = 7*j**2. Let h(w) = -52*w + 1114504 - 1114504. Give h(b(g)). -364*g**2 Let b(c) = -17*c**2 + 19*c**2 + 2*c - 2*c - 1 + 34*c**2. Let m(j) = 13*j. Calculate b(m(r)). 6084*r**2 - 1 Let q(a) be the second derivative of 10*a**4/3 - 11*a**2/2 + 94*a. Let s(m) be the first derivative of q(m). Let l(n) = -3*n. Give l(s(z)). -240*z Let n(a) = 31*a + 20. Let v(u) = -110*u - 80. Let t(m) = 23*n(m) + 6*v(m). Let q(h) = -2*h. What is t(q(g))? -106*g - 20 Let l = 1045 - 1001. Let j(v) = -12*v. Let c(z) = z. Let k(g) = -g. Let s(f) = -3*c(f) - 2*k(f). Let y(r) = l*s(r) - 4*j(r). Let w(h) = 8*h. Calculate w(y(t)). 32*t Let f(z) = 47*z - 2. Let r(o) = -45730*o - 39. Give r(f(i)). -2149310*i + 91421 Let u(l) = 6*l**2 - 4. Let j(b) = 4 + 6 + 1 - 5 + b. Let x(v) = -1. Let g(d) = j(d) + 6*x(d). What is u(g(m))? 6*m**2 - 4 Let t(r) = 23575*r. Let f(q) be the first derivative of q**2 + 5341. What is f(t(z))? 47150*z Let l(p) = 13*p - 49. Let i(h) = -14*h**2 - 38*h - 5. Calculate i(l(j)). -2366*j**2 + 17342*j - 31757 Let m(n) = 9*n**2 + 12*n + 4408. Let g(b) = 13*b - 2. What is m(g(d))? 1521*d**2 - 312*d + 4420 Let n(s) = -21*s**2 + 2. Let b(o) = 42*o**2 - 5. Let y(x) = -2*b(x) - 5*n(x). Let u(r) be the third derivative of r**4/6 + 444*r**2. What is u(y(d))? 84*d**2 Let f(z) be the third derivative of z**5/30 - 1013*z**2. Let v(w) = 3520*w. What is f(v(x))? 24780800*x**2 Let u(n) = -15*n**2 + 77*n - 3. Let k(l) = -10*l**2 + 47*l - 2. Let z(d) = -8*k(d) + 5*u(d). Let h(s) = -2*s**2. Give z(h(f)). 20*f**4 - 18*f**2 + 1 Let j(h) = -6*h**2 + 0*h**2 + 7*h**2 + 6. Let c = -86 - -104. Let p(k) = -27 - 2*k**2 + c + 9. What is j(p(b))? 4*b**4 + 6 Let h(s) be the first derivative of 88*s**3 + 11. Let q(b) = 2*b**2 - 11*b**2 + 0*b**2 + 0*b**2 + 11*b**2. What is q(h(t))? 139392*t**4 Let f(m) = 19*m**2 + 10*m - 12. Let h(u) = 532*u**2 + 285*u - 342. Let w(r) = 57*f(r) - 2*h(r). Let t(b) = -5*b**2. Give w(t(v)). 475*v**4 Let o(h) be the third derivative of -3*h**4/4 - h**2. Let x(u) be the second derivative of 0*u**2 + 0 + 1/3*u**3 - 4*u. Calculate o(x(j)). -36*j Let q(p) = -14*p + 41*p - 12*p - 8*p - 6*p. Let t(o) = -6*o**2 + 2*o + 2*o**2 + 6*o - 18*o. Calculate t(q(c)). -4*c**2 - 10*c Suppose -4*d = -2*b, -d - 8*b - 6 = -10*b. Let m(h) = 195*h**2 - 97*h**2 - 100*h**d. Let v(l) be the first derivative of 44*l**3/3 - 2. Calculate v(m(j)). 176*j**4 Let w(p) = -659234*p. Let j(m) = 7*m**2 - 6*m. Calculate j(w(t)). 3042126267292*t**2 + 3955404*t Let h(r) = 3*r. Let d(g) = -7*g - 1. Let y(t) = -4*d(t) - 9*h(t). Let b(v) be the first derivative of 2*v**3/3 - 67. Calculate y(b(c)). 2*c**2 + 4 Let b(w) = -6*w**2 - 8*w + 8. Let k be 3/(-35 + 29 - 27/(-5)). Let o(r) = -7*r**2 - 10*r + 10. Let z(v) = k*b(v) + 4*o(v). Let f(s) = 130*s. Give z(f(x)). 33800*x**2 Let u(g) = -2*g**2 - 3*g - 3. Let x(d) = 2*d**2 + 4*d + 4. Let r(o) = -4*u(o) - 3*x(o). Let s(v) = 2765*v + 30 + 1 + 2757*v - 5523*v - 4. Give r(s(l)). 2*l**2 - 108*l + 1458 Let n(b) = -3*b. Let t(a) = 1994608*a. Calculate t(n(y)). -5983824*y Let b = -1329 - -1342. Let i(a) be the second derivative of -b*a + 0 - 1/2*a**3 + 0*a**2. Let h(z) = 5*z. Determine h(i(s)). -15*s Let q(n) = 12*n**2. Let l(y) be the first derivative of y**4/12 - 31*y**2 + 72. Let t(h) be the second derivative of l(h). What is t(q(f))? 24*f**2 Let i(d) = -6*d - 10. Let o(z) = -16*z - 30. Let g(l) = -3*i(l) + o(l). Let w(f) = f**2 - 31*f - 61*f - 21*f. What is g(w(h))? 2*h**2 - 226*h Let y(m) be the first derivative of -m**2/2 + 3*m - 42. Let p(v) = 4*v - 9. Let z(r) = p(r) + 3*y(r). Let h(o) = 174*o. Calculate z(h(x)). 174*x Let b(y) = 6*y. Let p(v) = -265600*v + 8. Give b(p(u)). -1593600*u + 48 Let d(s) = -8*s**2 - 6*s. Let k(w) = -2*w + 15*w + w**2 - 8*w**2 - 18*w. Let o = -4 - -9. Let u(c) = o*d(c) - 6*k(c). Let q(h) = h**2. What is u(q(l))? 2*l**4 Let r(v) be the third derivative of v**5/30 - 2*v**2 - 1418. Let u(a) = 2654*a. What is u(r(d))? 5308*d**2 Let c(p) = -5*p**2. Suppose 0 = -5*q + 5*v - 40, 24 = -4*q + q - 2*v. Let w be ((-1)/2)/((-38)/q + -5). Let g(z) = 0*z**2 + 5*z**2 - 6*z**w. Calculate g(c(x)). -25*x**4 Let j(q) = -1266*q**2. Let x(y) = 255*y**2. Give x(j(k)). 408702780*k**4 Let g(k) be the first derivative of 2*k**3 + 2. Let a(l) = -153*l + 150. Let q(p) = 5457*p - 5355. Let y(r) = 357*a(r) + 10*q(r). Give g(y(h)). 15606*h**2 Let x(r) = 3*r. Let n(m) be the first derivative of -3*m**2 - 24*m + 750. Give x(n(k)). -18*k - 72 Let h(a) = 1452*a - 92*a**2 - 1452*a. Let p(x) = 0*x + 0*x + x + x. Determine p(h(g)). -184*g**2 Let n(t) = 90455313*t**2 - 1. Let s(r) = -2*r. What is n(s(l))? 361821252*l**2 - 1 Let g(s) = -39668*s**2 + 19841*s**2 + 19826*s**2. Let h(w) = 1392*w**2. Calculate g(h(k)). -1937664*k**4 Let m(c) = -3*c + 26. Suppose 2*j = 5*r + 29, -2*r = -5 + 11. Let g be m(j). Let s(b) = -5*b + b + g*b. Let u(l) = -40*l. What is u(s(a))? -40*a Let l(h) = -80*h + 2. Let j(u) = 14202*u. Calculate j(l(w)). -1136160*w + 28404 Let i(j) = 7*j**2. Let v(s) = -873799*s. What is i(v(x))? 5344672846807*x**2 Let g be -2 + (4 - 3)*119. Let h(n) = 58*n**2 + 57*n**2 - g*n**2. Let a(i) = 86*i**2. Give h(a(l)). -14792*l**4 Let d(w) be the third derivative of -42*w**2 + 0*w**3 + 0 + 0*w - 1/24*w**4. Let b(f) = -36*f**2. What is d(b(x))? 36*x**2 Let t(h) = h**2. Let r(s) = 195249*s + 3. What is r(t(g))? 195249*g**2 + 3 Let y(s) = -537 - 15*s + 22*s + 538. Let d(c) = 4*c**2. What is d(y(t))? 196*t**2 + 56*t + 4 Let w(o) = 5*o. Let g(a) = -3859091*a**2. Calculate w(g(u)). -19295455*u**2 Let x(u) = -2586933*u**2. Let i(c) = -5*c**2. What is x(i(j))? -64673325*j**4 Let v(i) = 126*i**2 - 6 + 159*i**2 - 42*i**2. Let k(x) = 2*x**2. Determine k(v(r)). 118098*r**4 - 5832*r**2 + 72 Suppose v + 1 = -3*p - 12, -2*p - 4 = 3*v. Let g(j) = -16*j - 77*j**2 + 16*j**v + 19*j. Let c(k) = -2*k. Calculate c(g(d)). 122*d**2 - 6*d Let d(f) = -16*f + 1. Let c(r) = -813*r - 6. Let v(z) = 3*c(z) + 18*d(z). Let s(i) = -i. Calculate s(v(n)). 2727*n Let z(u) be the first derivative of -2*u**4/3 - 17*u**3/3 - 161*u - 152. Let d(t) be the first derivative of z(t). Let w(v) = -2*v. Calculate d(w(y)). -32*y**2 + 68*y Suppose 0 = -4*d + d - 2*g + 15, -3*d + 24 = 5*g. Let z(c) = -5*c**2 - 2 - 1 + d. Let o(k) = -178*k + 178*k + 4*k**2. What is z(o(m))? -80*m**4 Let m(q) = 4*q**2 + 19987 - 19987. Let u(g) = -3*g - 3 + 3. Calculate u(m(h)). -12*h**2 Let b(h) = -4*h. Let q(v) = -64005193*v. Give b(q(n)). 256020772*n Let t(d) = 2157189 - 2157189 + 6*d. Let r(b) = 7*b + 1. Give r(t(c)). 42*c + 1 Let n(v) be the third derivative of -2*v**5/15 + 22*v**2 + 36. Let r(i) be the first derivative of -3*i**3 + 1. What is n(r(f))? -648*f**4 Let u(b) = -87359*b + 54. Let l(d) = d**2. Determine u(l(w)). -87359*w**2 + 54 Let h(c) be the first derivative of 3*c**2/2 - 1. Let g(d) = 61*d + 53*d + 6 - 105*d. Let j(r) = -r - 1. Let b(u) = g(u) + 6*j(u). Give b(h(q)). 9*q Let x(b) = -2*b. Let h(c) = -39159*c - 44. What is h(x(t))? 78318*t - 44 Let j(p) = 1508*p - 754*p - 755*p. Let c(x) = 57*x - 2. What is c(j(t))? -57*t - 2 Let f(b) = 11*b**2 - 18*b - 6. Let k(v) = 14*v**2 - 15*v - 6. Let g(h) = 5*f(h) - 6*k(h). Let c(z) = -6*z**2. Calculate c(g(m)). -5046*m**4 + 2088*m**2 - 216 Let u(s) = 306*s**2. Let c(m) be the first derivative of 2*m**3/3 - 12855. Calculate u(c(a)). 1224*a**4 Let l(f) = -56*f**3 - 1. Let q be l(-1). Let o(g) = q*g - g**2 - 55*g. Let k(
{ "pile_set_name": "DM Mathematics" }
+ 6*j**2 - 2*j + 6. Determine 4*g(u) + 138*h(u). -6946*u**3 Let x(w) = -2*w + 9. Let z(h) = 28607*h - 14302*h + 5 - 14304*h - 4. Calculate -4*x(u) + 36*z(u). 44*u Let f(k) = 90*k + 21. Let j(i) = -9*i - 2. Let a = -82 - -61. Determine a*j(h) - 2*f(h). 9*h Let o(k) = -144*k - 34. Let j(h) = -430*h - 91. Give -4*j(p) + 11*o(p). 136*p - 10 Let c(n) = -7 - 20 + 11 + 6 + 9. Let z(m) = 5*m - 2. Let r(u) = 2*u - 1. Let v(a) = -3*r(a) + z(a). What is 4*c(q) - v(q)? q - 5 Let g(i) = 336*i**2 + 49*i - 49. Suppose 11 = -2*h - 3*a, 0 = 21*h - 16*h + 5*a + 25. Let w(s) = -14*s**2 - 2*s + 2. Calculate h*g(t) - 98*w(t). 28*t**2 Let t(g) = 322*g**2 + 69. Let h(a) = 220*a + 4991. Let z be h(-23). Let p(b) = -23*b**2 - 5. What is z*p(i) - 5*t(i)? -23*i**2 Let s(k) = -195 - 148*k + 187 + 148*k - 32*k**3. Let f(i) = 21*i**3 + 6 + 6 - 2 - 5. Determine -8*f(y) - 5*s(y). -8*y**3 Let h(w) = w**2 + 2*w. Let d(g) = -3*g. Suppose 4*i - 56 = 8. Let q(v) = i*v - 12*v - 12*v. Let z(s) = -17*d(s) + 6*q(s). Determine -3*h(u) + 2*z(u). -3*u**2 Let m = 16965 - 16943. Let f(h) = -h**3 + h**2. Let r(z) = -7*z**3 + 12*z**2 - 1. Give m*f(d) - 2*r(d). -8*d**3 - 2*d**2 + 2 Suppose -11*v + 6*v = -105. Let h be (-7)/(v/24)*3/6. Let p(d) = -7*d - 4. Let i(b) = -7*b - 3. Calculate h*i(z) + 3*p(z). 7*z Let i(f) = 258*f**2 + 6*f - 74. Let x(u) = -52*u**2 - u + 14. Calculate 3*i(y) + 16*x(y). -58*y**2 + 2*y + 2 Let r(u) = 1987*u + 40. Let s(o) = 21713936*o + 437140. What is 21857*r(h) - 2*s(h)? 1987*h Let h(l) = -l - 1. Let u(q) = -1026*q - 5. What is -3*h(r) + u(r)? -1023*r - 2 Let m(k) = 4*k**2 + 8*k - 2. Let g(l) = 8*l**2 + 16*l - 116. Let a(x) = x**2 + 3*x + 37. Let d(s) = -3*a(s) - g(s). Calculate 3*d(o) + 8*m(o). -o**2 - 11*o - 1 Let w(j) = -377*j**3 + 9*j**2 + 9*j + 70. Let p(b) = b**3 + b**2 + b + 8. Give 9*p(n) - w(n). 386*n**3 + 2 Let z(b) = 103*b - 32. Let i(y) = -104*y + 25. Calculate -5*i(h) - 4*z(h). 108*h + 3 Let b(j) = -9*j**3 - 2*j**2 + j + 17. Let c(w) = -8*w**3 - 2*w**2 + w + 15. Give 2*b(i) - 3*c(i). 6*i**3 + 2*i**2 - i - 11 Let i(c) = -c. Let r(u) = 6*u**2 - 5*u - 1. Let n(k) = -2*k**3 - 14*k**2 + 4*k + 97. Let d be n(-6). Give d*r(q) - 4*i(q). 6*q**2 - q - 1 Let f(r) = 22*r. Let j(d) = 15*d. Suppose -8*w - 91 = -15*w. Suppose -w - 29 = 6*x. Suppose 51*n = 52*n - 5. Calculate n*f(p) + x*j(p). 5*p Suppose -5*x - 24 + 102 = 4*d, -36 = -3*x + 3*d. Suppose p + x = 4*m, -p + 22 = 6*m - m. Let y(b) = -6. Let t(h) = h**2 + h + 7. Determine p*t(o) + 3*y(o). 2*o**2 + 2*o - 4 Let g(p) = 44*p + 2229. Let z(t) = -155*t - 6687. Give 7*g(o) + 2*z(o). -2*o + 2229 Let f(h) = -13*h**2 - 2. Suppose -8*o + 468 = -14*o + 3*m, o = 3*m - 83. Let v(w) = 495*w**2 + 77. Calculate o*f(b) - 2*v(b). 11*b**2 Let r(j) = 14*j - 33. Let l(h) = 13*h - 21. Let w(o) = -3*l(o) + 2*r(o). Let f(n) = -76*n - 20. Give 3*f(a) - 20*w(a). -8*a Let p(k) = 28*k**3 + 2*k**3 + 20 - 20*k**2 + 11432*k - 11432*k. Let r(u) = u**3 - u**2 + 1. Give p(l) - 20*r(l). 10*l**3 Let m(b) = 19*b**3 + 4*b + 4. Let n(j) be the second derivative of 99*j**5/4 + 35*j**3/2 + 105*j**2/2 - 89*j - 10. Calculate 105*m(s) - 4*n(s). 15*s**3 Let v(u) = 7*u - 16. Let h(s) = -7 - 8 + 596937*s - 596931*s. Calculate -6*h(i) + 5*v(i). -i + 10 Let y(o) = 1. Let d(c) = -c**2 + 2*c + 4. Let a be 10/((-2)/(2 - 3)). Let r(l) = 4*l**2 - 17*l + 7. Let q be r(5). Suppose -a*n + 7 = q. Give n*y(i) + d(i). -i**2 + 2*i + 1 Suppose -4*g = -5*k + 2610, -5*k + 2731 = g + 121. Let n = 523 - k. Let q(m) = -m**3 + 1. Let j(d) = -13*d**3 + 6. Determine n*j(h) - 6*q(h). -7*h**3 Let s(k) = -4*k - 2. Let t(a) = -4*a**2 + 2*a + 14. Determine -2*s(j) - t(j). 4*j**2 + 6*j - 10 Suppose 4*h = -9*h + 5*h + 32. Let l(j) = -8*j**3 + 13*j**2 - 8*j + 2. Let b(w) = -4*w**3 + 7*w**2 - 4*w + 1. What is h*l(i) - 7*b(i)? -4*i**3 + 3*i**2 - 4*i + 1 Suppose 33 + 24 = 2*y + 3*w, 0 = -4*y + 3*w + 105. Let l(p) = 11*p - y + 22 - 3*p. Let n(z) = -169*z + 104. Give 104*l(a) + 5*n(a). -13*a Let j(q) = 1. Let c(d) = 47*d + 2 + 49*d + 49*d - 143*d + 7. Give c(n) - 4*j(n). 2*n + 5 Let t = -664 + 678. Let z(q) = 6*q - 86. Let s be z(t). Let p(d) = 25*d**3 + 11*d + 11. Let i(c) = -2*c + 4*c**3 + 4*c + 2 + c**3. Give s*p(y) + 11*i(y). 5*y**3 Let q(d) = 3*d**2 + 5*d - 17. Let k(i) = -i + 218*i**2 + 215*i**2 - 674*i**2 + 240*i**2. What is 5*k(n) + q(n)? -2*n**2 - 17 Let i = -1 - -6. Let s be 82/8 - 63/252. Suppose b + s = i. Let x(z) = 2*z**3 - z**2 - 9*z. Let m(p) = -3*p**3 + 2*p**2 + 14*p. Determine b*m(y) - 8*x(y). -y**3 - 2*y**2 + 2*y Suppose 0 = -2*c - 2*g + 6, 2*c + 84 = 5*g + 34. Let j(a) = -9*a**3 - 6*a**2 - 12*a - 6. Let w(b) = -8*b**3 - 5*b**2 - 11*b - 5. Give c*j(h) + 6*w(h). -3*h**3 - 6*h Let s(b) = 1541*b**2 - 4196*b - 21*b**3 - 1540*b**2 + 4196*b. Let w(k) = -10*k**3. Determine -3*s(n) + 5*w(n). 13*n**3 - 3*n**2 Let u = 36344 + -36345. Let s(t) = 8*t**2 + 6*t + 2. Let l(w) = w + 6*w**2 - 6*w**2 + w**2. Determine u*s(a) + 5*l(a). -3*a**2 - a - 2 Let b(m) = -m - 25. Let n(h) = 61. What is -13*b(d) - 4*n(d)? 13*d + 81 Let u(q) = 2*q**2 - 2. Let b(y) = -6*y**2 + 11*y + 31. Let j(g) = b(g) + 2*u(g). Let i(c) = c**2 - 4*c - 9. Give -8*i(p) - 3*j(p). -2*p**2 - p - 9 Let t(x) = -2*x**3 + 9*x**2 + 13*x + 5. Let z(p) = -p**3 + 4*p**2 + 6*p + 3. Suppose -44 = -4*y - 4*c, y - 390 = c - 375. Give y*z(m) - 6*t(m). -m**3 - 2*m**2 + 9 Let b(g) be the second derivative of g**3/3 - g**2 - 5*g - 5. Let r(a) = a**2 + a - 1. Suppose 10 = 7*z - 2*z. Suppose -2 + 1 = x. Determine x*b(l) + z*r(l). 2*l**2 Let j(x) = -17*x**3 + 606*x**2. Let h(k) = -32*k**3 + 1211*k**2. What is 8*h(b) - 15*j(b)? -b**3 + 598*b**2 Let y(m) be the third derivative of -m**5/60 - m**4/8 - 2*m**2 + 5*m. Let s(x) = -x - 1. What is 2*s(k) - y(k)? k**2 + k - 2 Let w(a) = -31*a + 11. Let h(v) = -94*v + 38. What is 3*h(k) - 10*w(k)? 28*k + 4 Let m(b) be the first derivative of -5*b**2 - 13*b + 8. Suppose -2*g + 4*y - 4 = 0, 0 = 59*g - 64*g - 3*y - 36. Let a(t) = 5*t + 6. Calculate g*m(f) - 13*a(f). -5*f Let m be (-218 - -214)*(3/4)/((-21)/(-77)). Let i(n) = -14*n**2 - 3*n - 2. Let w(u) = -5*u**2 - u - 1. Determine m*w(c) + 4*i(c). -c**2 - c + 3 Let g(u) = -u - 6. Suppose 0 = 14*y - 89*y + 8925. Let z(x) = 21*x + 119. Determine y*g(q) + 6*z(q). 7*q Let t(u) = -2*u**3 + 3*u - 6. Let r(q) = -2*q - 4. Let f(w) = 6*r(w) - 3*t(w). Let k(l) = l**3 - 4*l - 1. Give 4*f(y) - 21*k(y). 3*y**3 - 3 Let b(y) = 2*y**2 - 7*y - 17. Let g(p) = p**2 - 3*p - 8. Suppose -5 = -5*q + u + 19, 0 = 5*q + 4*u - 4. Give q*b(i) - 9*g(i). -i**2 - i + 4 Let h(w) = 2*w - 5586. Let g(y) = -y - 13. What is 3*g(l) + h(l)? -l - 5625 Let v(g) = -1. Let k(s) = -50*s - 3. What is -2*k(b) - 2*v(b)? 100*b + 8 Let i(l) = -4*l**3 + 2*l**2 - 2*l + 2. Let v(f) = -3*f**2 - 580*f**3 + f + 291*f**3 + 288*f**3 + 0*f**2 + 2*f**2. Give -i(w) - 2*v(w). 6*w**3 - 2 Suppose -26*c + 20 = -22*c - 5*u, 5*u = 0. Let i be (c + 27)/(-7 - -9). Let g(v) = 40*v - 16. Let p(a) = -13*a + 5. What is i*p(t) + 5*g(t)? -8*t Let i(y) = y**2 + 5*y - 3. Let h(b) = -612*b - 3675. Let p be h(-6). Let w(d) = -d**2 + d - 1. Calculate p*w(j) + i(j). 4*j**2 + 2*j Let n(j) = 17691*j**3 + 23588*j**2 - 47176*j + 23588. Let v(d) = d**3 + d**2 - 2*d + 1. What is -n(c) + 23588*v(c)? 5897*c**3 Let h(w) = -7693*w - 10. Let s(p) = 15380*p + 26. What is -5*h(g) - 2*s(g)? 7705*g - 2 Let g = 5 + -13. Let n be (g/3)/((-8)/12). Let h be (30/20)/((-2)/n). Let s(p) = 9*p + 1. Let u(o) = 5*o + 1. What is h*s(i) + 5*u(i)? -2*i + 2 Let c = -252 + 245. Let g(u) = u**2 + 8*u - 4. Let f(z) = 9*z - 5. Suppose 1882*a + 36 = 1888*a. What is a*f(l) + c*g(l)? -7*l**2 - 2*l - 2 Let o(n) = 10*n**2 - 3*n + n**2 + 978 + 0*n**2 - 976. Let d(u) = 6*u**2 - u + 1. What is -5*d(b) + 3*o(b)? 3*b**2 - 4*b + 1 Let a(x) = -2*x**2 - 2*x - 5. Let w = 91522 - 91530. Let s(p) be the first derivative of -p**3 - 3*p**2/2 - 8*p - 1. Calculate w*a(z) + 5*s(z). z**2 + z Let l(c) = -4*c**3 + 590*c**2 + 6*c + 4. Let t(j) = j**2 + j + 1. Determine -l(m) + 6*t(m). 4*m**3 - 584*m**2 + 2 Let a(z) = z**2 - 5*z - 2197. Let j(v) = -v**2 + 2*v + 1098. Calculate 2*a(x) + 5*j(x). -3*x**2 + 1096 Let z(w) be the first derivative of 3/2*w**2 - 1 + 2/3*w**3 + 0*w. Let i be -7 - (5 + -3) - (-38 + 33). Let f(x) = -3*x**2 - 4*x. Determine i*z(q) - 3*f(q). q**2 Let s(g) = 28*g.
{ "pile_set_name": "DM Mathematics" }
mmon factor of 4 and q? 4 Let h be (7/(-2))/((18/8)/(-9)). Let z(p) = -3*p**3 - 2*p**2 - 2*p - 1. Let f be z(-1). Suppose c + f*c - 6 = 0. What is the highest common divisor of h and c? 2 Let h be 1179/7 + (-3)/7. Suppose 2*i = 2*m - 0*m - h, 0 = -3*m + 2*i + 256. What is the highest common factor of m and 22? 22 Let a(h) = 9*h**2 - 2*h - 4. Let r be a(-3). Let y be 121 + -2*(-1)/(-1). Let i = y - r. What is the highest common factor of i and 9? 9 Suppose -r = 4*h - 50, 6*h = 4*r + 3*h - 105. What is the highest common divisor of 10 and r? 10 Let s be 42/4 - 1/2. Let i(m) = -5*m + 5. Let t be i(1). Let k be 73 + t + -1 - (-7 + 9). What is the highest common factor of s and k? 10 Suppose 3*l = l - 18. Let d = l - -41. Calculate the greatest common divisor of d and 32. 32 Let v be 7/(1*(-3)/3). Let u be -24*(0 + v + 2). Let f be (u/(-50))/((-2)/10). Calculate the greatest common factor of f and 6. 6 Let d = 3029 + -2942. Let n be 0/1 - (-53 - 5). Calculate the highest common factor of n and d. 29 Let m(o) = -o**3 - 14*o**2 + 14*o - 8. Let h be m(-15). What is the highest common divisor of 112 and h? 7 Let l(b) be the third derivative of 1/2*b**3 - 3/8*b**4 + 3*b**2 - 1/60*b**5 + 0 + 0*b. Let p be l(-9). What is the highest common factor of p and 21? 3 Let f(x) = x**3 - 15*x**2 - x + 15. Let c be f(15). Let s be (c - -4)*1*(3 - 0). What is the greatest common divisor of s and 72? 12 Suppose 5*w - 2 - 8 = 0. Suppose -2*o = w*o - 40. Suppose -15 = -2*n + l, -3*n = -4*n + l + o. Calculate the greatest common factor of 10 and n. 5 Suppose 5*g - l + 42 = -2*l, -3*g - 4*l = 32. Let h = g - -19. What is the highest common divisor of 33 and h? 11 Let s(b) = -5*b**3 - 6*b**2 + 24*b + 20. Let z be s(-6). What is the greatest common factor of 222 and z? 74 Suppose -u + 4*x = 0, 4*u + x = -0*u + 51. Let i(c) = -c + 10. Let h be i(6). What is the highest common divisor of u and h? 4 Let k = 976 - 939. Calculate the highest common divisor of k and 629. 37 Let h = 107 - 8. Let x be 11 + (-1 - (-1)/(-1)). What is the highest common factor of h and x? 9 Suppose 2*m + 100 = 2*q, -m - 2 + 7 = 0. Let n = q - 18. What is the highest common divisor of n and 111? 37 Let q = 251 + -231. Calculate the greatest common divisor of q and 250. 10 Suppose -24*u = -22*u - 5*t - 118, 5*u - 312 = 4*t. What is the highest common divisor of u and 272? 16 Let m be -1*(-27)/18*78. What is the highest common divisor of 9 and m? 9 Let i be 28/(-6)*(-291)/2. Let a be 92/20 + (-2)/(-5). Suppose a*r - i = 311. Calculate the greatest common factor of r and 22. 22 Let l be 3/((-48)/(-52))*4. Calculate the highest common divisor of 13 and l. 13 Suppose 3240 + 1212 = 7*r. What is the highest common divisor of r and 12? 12 Let v = 63 + -41. Let a = 75 + -53. Calculate the greatest common factor of v and a. 22 Let l(u) = u**3 + 11*u**2 - 13*u - 6. Let p be l(-12). Suppose 7*c - p*c - 13 = 0. Let y be 202/4 - 39/(-26). What is the highest common factor of y and c? 13 Let x(c) = -3*c - 2. Suppose 2*d + 26 = -5*g, 2*g = -g + 2*d - 22. Let t be x(g). Calculate the highest common factor of t and 2. 2 Let x be (-1 - -1) + (-576)/(-9). What is the greatest common divisor of 96 and x? 32 Let m(z) = 610*z + 4990. Let j be m(-8). Suppose 2*k - 17 = 5*l + 23, 0 = -5*k + 4*l + 66. What is the highest common factor of j and k? 10 Let d = -218 - -368. Calculate the greatest common factor of 60 and d. 30 Let g(s) = -5*s - 8. Let o be g(9). Let d = o - -9. Let m be 4/2*d/(-8). Calculate the highest common divisor of 11 and m. 11 Suppose -34*x + 88128 = -0*x. Calculate the highest common factor of x and 54. 54 Let o = -69 - -249. Calculate the greatest common divisor of 300 and o. 60 Let p = -349 - -399. Calculate the greatest common factor of p and 175. 25 Let z be 2/(-8) + 130/8. Suppose -z*g + 150 = -10*g. What is the greatest common divisor of 175 and g? 25 Suppose -93 = -3*w + 9. Let o = w - 31. Let y = 19 + -4. Calculate the greatest common factor of y and o. 3 Let p be (-1*12/(-5))/(21/(-105)). Let x(s) = s**3 + 13*s**2 + s - 4. Let c be x(p). Calculate the highest common factor of 16 and c. 16 Let p(c) = 5*c**2 - 4*c - 2. Suppose 5*a = 4*a - 3. Let w be p(a). Calculate the greatest common factor of 11 and w. 11 Suppose -4*q - 10 + 62 = 0. Suppose c - 11 - q = 0. Let r = -11 + c. Calculate the greatest common factor of r and 117. 13 Let w(t) = 14*t**2 + 4*t - 8. Let m be w(4). What is the greatest common factor of m and 29? 29 Suppose -6*c + 9*c = 9. Let o be (-2 - -28) + -2 + c. What is the greatest common factor of 3 and o? 3 Let t = -24 - -162. Calculate the highest common factor of t and 92. 46 Suppose -74 = 2*f - 6*f - 5*t, 4*f - 62 = t. Let o(l) = -l**2 + 18*l - 17. Let h be o(f). Let v = -41 + 101. Calculate the greatest common factor of v and h. 15 Suppose 42*o + 53*o - 43758 = -58*o. Let w = 14 + 12. What is the greatest common divisor of o and w? 26 Suppose -28 = -56*z + 49*z. Suppose -4*i - 3 = z*p + i, i = -p. Calculate the greatest common factor of p and 2. 1 Let m be ((-300)/(-44) - 7) + 336/33. What is the highest common divisor of m and 8? 2 Let i(p) = 13*p - 79. Let q be i(7). Suppose 0 = 2*m - 2*k - 4, 0 = -2*m - 4*k - 0*k - 14. Let a be -1*2*m*30. Calculate the highest common factor of a and q. 12 Suppose 9 = 2*v + x, -3*x + 6 = 4*v - 17. Suppose v*j - 39 = -5*i, 0*j + j = -i + 15. What is the greatest common divisor of j and 2? 2 Let a be 2835/(-21)*3/(-9). What is the greatest common factor of 63 and a? 9 Let c be (12/15)/(2/(-10)). Let l be ((-10)/c)/(1/2). Suppose -m + 4*a = -6*m + 21, a = -5*m + 24. Calculate the highest common factor of m and l. 5 Suppose 2*c - 41 = -47. Let d be (4 + c)/((-4)/(-448)). Calculate the highest common divisor of d and 16. 16 Suppose -7*z + 12*z - b = 428, -3 = b. Calculate the greatest common factor of 1700 and z. 85 Let d(i) = -i**2 - 2*i + 8. Let o be d(-6). Let x be 1098/48 - 2/o. Let g = -68 + 160. Calculate the greatest common factor of x and g. 23 Let i = -781 - -811. Calculate the greatest common divisor of 180 and i. 30 Let v = 251 + 358. What is the highest common factor of 21 and v? 21 Let s(k) = 20*k - 10. Let o be s(6). Suppose -354 = -2*u + o. Let a be (-88)/154 + u/14. Calculate the greatest common divisor of 16 and a. 16 Suppose i + 2*s + 46 = 2*i, 0 = -i + 4*s + 52. Let f = -73 + 43. Let n be (-1)/(0 + 3/f). What is the highest common factor of n and i? 10 Let r = -2174 - -2272. What is the greatest common factor of r and 882? 98 Let p = 20 - 23. Let v(x) = 3*x**2 - 4*x + 1. Let h be v(p). What is the greatest common factor of h and 8? 8 Let r = 37 - 17. Let b = r + -19. Calculate the highest common divisor of 7 and b. 1 Let c = -11 + 14. Suppose -2*o + c*o - 1102 = 0. Suppose -q = -5*g - 230, -3*q + g = 2*q - o. Calculate the highest common divisor of q and 20. 20 Let d = 11 + -7. Let k = d - 0. Suppose 8 = -0*q + q. What is the highest common factor of q and k? 4 Let b(f) = -2*f + 2. Let g be b(0). Suppose g*r - 6*r = -80. Let j = -7 + r. Calculate the greatest common divisor of j and 65. 13 Let s = -114 + 123. Calculate the highest common factor of s and 81. 9 Let i(u) = 35*u**2 + 9*u - 5. Let n be i(2). Calculate the highest common factor of 27 and n. 9 Let q be 4/(-10) + (-2304)/(-60). Let c = q - 36. What is the highest common divisor of 16 and c? 2 Suppose -y + 2 = -2*y. Let i be (2 + y)/(-1) + 12. Suppose 0 = -0*k - 3*k + 4*a + 52, -4*k + 60 = -3*a. Calculate the greatest common factor of i and k. 12 Suppose 4*c + 1 = -c + 3*l, 0 = -3*c - 5*l + 13. Let y(i) = 46*i**2 - 2*i + 1. Let h be y(c). Calculate the greatest common divisor of h and 27. 9 Suppose -4*r + c - 6*c + 55 = 0, -5*r + 4*c + 38 = 0. Suppose 19*a - 50 - 45 = 0. What is the greatest common divisor of r and a? 5 Let r(o) = -17*o - 60. Let i be r(-8). Calculate the highest common factor of i and 114. 38 Let d be 2/(-13) - 196/(-91). Suppose -d*l = -0*l + 8, 2*n = l + 8. What is the greatest common divisor of 7 and n? 1 Let n = 2342 + 826. What is the highest common factor of n and 16? 16 Let w(b) = b + 4. Let a be w(-3). Let o(k) be the second derivative of 19*k**3/3 + k**2 + 12*k. Let u be o(a). Calculate the highest common factor of u and 8. 8 Suppose 6*p = p
{ "pile_set_name": "DM Mathematics" }
(sqrt(224)/sqrt(4)*4)/sqrt(7)) + 3. 3 + 13*sqrt(5)/4 Simplify ((sqrt(84) - sqrt(84)*-2)*-6)/(sqrt(300)*4 - sqrt(12)) + ((-4 + -3 + sqrt(7))**2 - (sqrt(7) - ((sqrt(343) + sqrt(343)*1)**2 - sqrt(7)))). -322*sqrt(7)/19 + 1428 Simplify ((((sqrt(12) + sqrt(48)/sqrt(4))*2)/(sqrt(12)/(sqrt(8)/sqrt(4))))**2 - sqrt(550)/((sqrt(11) + sqrt(11) + (sqrt(275) - sqrt(11)))*1)) + 3. -5*sqrt(2)/6 + 35 Simplify (2*((sqrt(187) + -2*sqrt(187)*-5 + sqrt(187) - sqrt(187)) + ((sqrt(187)*1 + sqrt(187))*6 - sqrt(187)))/(sqrt(891)*2*-1))**2. 8228/81 Simplify ((sqrt(210)*-1)/sqrt(6))/(4*sqrt(63)) + 2 - (sqrt(15)/(sqrt(75)*1) + -5)*1. -17*sqrt(5)/60 + 7 Simplify ((sqrt(85) - sqrt(85)*2*1)/(sqrt(10)/sqrt(2)*3 + sqrt(5)) - ((sqrt(374) - (sqrt(374) - -2*sqrt(374)))/sqrt(11))/(sqrt(8)/(sqrt(8)/sqrt(2))))**2. 833/16 Simplify (4*(sqrt(85) + (sqrt(85)*-5 - sqrt(85)))*2)/(6*(sqrt(5) + sqrt(320) - sqrt(5))*2). -5*sqrt(17)/12 Simplify (sqrt(3744) + 2*sqrt(3744)*5 + 1*(sqrt(3744)*-1 + sqrt(3744)))/(5*sqrt(2)*2 - sqrt(2)*1*1). 44*sqrt(13)/3 Simplify -6*(sqrt(11) + (sqrt(99) + -2 + sqrt(99))**2 + sqrt(132)/sqrt(300) - (2 + -2 + sqrt(176) - sqrt(176) - sqrt(176))**2). -1344 + 684*sqrt(11)/5 Simplify ((-1*(sqrt(105)/sqrt(3)*-5 + sqrt(35)))/(-2*sqrt(405)*4)*-6 + 0)**2. 7/9 Simplify ((sqrt(77)*2*4 - sqrt(77) - sqrt(77) - 6*(-2*sqrt(77) - sqrt(77)))/(sqrt(448)*-2*2))**2. 99/16 Simplify (5*(-1*sqrt(4000) - (sqrt(400) + 1*sqrt(400))/sqrt(10)))/((sqrt(4000)*-1)/(-2*sqrt(5)*-6)). 72*sqrt(5) Simplify (-4*-6*(-3 + (4*3*sqrt(637) + (1 + -3*sqrt(637) - sqrt(637)))*-1) + -1)**2. 260736*sqrt(13) + 23491777 Simplify -5*((5*-3*(5 + sqrt(1300) + 1 + sqrt(1300) - sqrt(1300)))**2 + 3). -1503015 - 135000*sqrt(13) Simplify -3 + (((sqrt(180) + (sqrt(180) - (sqrt(180) + (sqrt(180) - sqrt(180)*-2)) - sqrt(180)))*-1 - -2*(-1*sqrt(180) + sqrt(180)))/(sqrt(64)*4*3))**2. -723/256 Simplify 3*sqrt(15)/(sqrt(180)*-1 + sqrt(5)) + -3 - ((sqrt(144)/(sqrt(4) - -1*sqrt(4)))/sqrt(12) + -5 + (sqrt(243)*-1 - sqrt(243))). 2 + 169*sqrt(3)/10 Simplify (-3*sqrt(76)/(-5*sqrt(8)/sqrt(2)) - (sqrt(171)/(sqrt(12)/sqrt(4) + sqrt(3)) + sqrt(57))/(4*sqrt(48)))**2*-1. -124659/25600 Simplify 1*(3*sqrt(171)/(-4*sqrt(45)/sqrt(5)) + (sqrt(608)*2)/((-1*sqrt(20))/sqrt(10)))**2. 23275/16 Simplify ((sqrt(384)*-1)/sqrt(8) + -2)**2 - (-6*(-1 + sqrt(147)) - (sqrt(147) - sqrt(147)*-1*-6))**2. -131 + 100*sqrt(3) Simplify (sqrt(168)/(sqrt(4)*-1))/(1*(sqrt(6) + -3*sqrt(6))) - (-5*(2*sqrt(175) + 4 + sqrt(175))*-2)**2. -159100 - 23999*sqrt(7)/2 Simplify (sqrt(140) + (sqrt(140) - sqrt(140)*2 - sqrt(140)) - sqrt(70)/sqrt(2)*5)/((sqrt(756)*2 - sqrt(756))/sqrt(12)*6). -7*sqrt(5)/18 Simplify (((sqrt(250) - (sqrt(250) - sqrt(250)*2))*1)/(sqrt(5) - 1*sqrt(5)*6))/((-3*-2*sqrt(80))/(sqrt(48)/sqrt(54))). -sqrt(5)/45 Simplify ((sqrt(1372)*-2)/(sqrt(2)*-2*-2))/((-5*sqrt(441))/(sqrt(77)/(-2*sqrt(11)))). -7*sqrt(2)/60 Simplify -3*(-4*(1 + (sqrt(180) - (1 + (sqrt(180) + 1 - sqrt(180)))))**2 + 0 + -1). -144*sqrt(5) + 2175 Simplify ((-6*sqrt(170)*2*-6)/(((sqrt(110) + sqrt(110) + 1*sqrt(110) + sqrt(110) - sqrt(110))*5)/sqrt(11))*-6)**2. 352512/25 Simplify (1*-5*sqrt(136)*-2*3)/(3*sqrt(72) - sqrt(72)*-2). 2*sqrt(17) Simplify (sqrt(252) + (3 + sqrt(252) - sqrt(252)) + sqrt(14)/(2*sqrt(2)))**2 + 1 - (sqrt(1575)*4)/(sqrt(18)/sqrt(2)*3). 97*sqrt(7)/3 + 1223/4 Simplify ((-4*sqrt(1331)*-4 + -4 - (sqrt(1331)*-1 + -2)*-6) + -5)**2. -4620*sqrt(11) + 133541 Simplify -5 + (-6*(sqrt(17) + (0 + sqrt(17) - sqrt(17))*3 + 2*(0 + sqrt(17)) + -5)*-2)**2. -4320*sqrt(17) + 25627 Simplify sqrt(147)*5*-4 + 2*-2*sqrt(147) + 0 + 0. -168*sqrt(3) Simplify ((-4 + -1 + sqrt(80) + 0)**2 + (-2 + (sqrt(80) + 0)**2 + sqrt(80))*4)*5 + 5. -120*sqrt(5) + 2090 Simplify ((-5*((5*4*(-1 + sqrt(832)) + -5)*3 + 3))**2 + 3)*-3. -225028809 + 5184000*sqrt(13) Simplify (-1*((sqrt(3) - sqrt(84)/sqrt(7)) + sqrt(15)/sqrt(80)) + 2 + 3*(sqrt(3) + sqrt(3)*-2 + sqrt(3) + sqrt(3) - sqrt(3)) + 1 + -2)**2. 3*sqrt(3)/2 + 43/16 Simplify 3 + (1*(4 + -3*-5*(sqrt(425) - (2 + sqrt(425))*1) + 4))**2. 487 Simplify 2*(2 + -4 + 6*-1*(-5 + sqrt(637) + -4*sqrt(637) + -4))**2. 26208*sqrt(13) + 418184 Simplify 3 + 2 + sqrt(21)/(sqrt(147)*1) + (2*sqrt(1134))/(sqrt(48)/sqrt(6)). 5 + 64*sqrt(7)/7 Simplify (6*-3*(sqrt(208) + 1 + sqrt(208) + -1 + -2)*6)**2 + 4. -373248*sqrt(13) + 9751108 Simplify 4*-1*(-1*(1*sqrt(252))**2 + -2)*6 + 0. 6096 Simplify ((-5*sqrt(675))/sqrt(9) + sqrt(33)/sqrt(44)*5)**2 + 4. 6091/4 Simplify (((sqrt(396) - sqrt(396)*-2)*-3)/(sqrt(81)/sqrt(81)))/(sqrt(8)/sqrt(18) + 1*sqrt(100)). -81*sqrt(11)/16 Simplify 4*((sqrt(11) - sqrt(33)/sqrt(3))*-6 + (sqrt(33)/sqrt(27))**2 + -1 - ((sqrt(11) - -3*sqrt(1100))*-2*2)**2). -6088888/9 Simplify 6*(-3*6*(2 + 2 + sqrt(17) - sqrt(17)) + ((sqrt(68) - (sqrt(68) - (2*sqrt(68) - sqrt(68) - sqrt(68))))*6)/(-5*sqrt(36) - sqrt(4))). -432 Simplify (sqrt(200) - (2*sqrt(200) + sqrt(200)) - sqrt(8))/(sqrt(20)/(sqrt(20)/sqrt(4))) - 5*(sqrt(2) + 4*(sqrt(2) + -2) - sqrt(2))*6. -131*sqrt(2) + 240 Simplify (-1*sqrt(200)/sqrt(5) - -2*sqrt(4840))/(2*sqrt(5)*-1*3) + 1. -7*sqrt(2) + 1 Simplify 1 + ((1 + sqrt(468) + sqrt(468) + -4 - (0 + sqrt(468) + sqrt(468) + -1)) + ((0 + sqrt(468))*-1 - (2 + sqrt(468))*4))**2 + 3. 600*sqrt(13) + 11804 Simplify (-3*(sqrt(288)/sqrt(6))/sqrt(2))/(sqrt(96)/(sqrt(72)/(-2*sqrt(6)))). 3*sqrt(3)/2 Simplify (-5*(4 + (sqrt(539) + -3*sqrt(539) + 0 - (2*sqrt(539) + 1)) + -4 + -5))**2. 8400*sqrt(11) + 216500 Simplify (1*(sqrt(384) + sqrt(384)*3)*1)/((sqrt(12) - (sqrt(12) - sqrt(48)/sqrt(4))*6) + sqrt(108)/sqrt(9)*3). 4*sqrt(2) Simplify -1*((-4*(sqrt(216)*2 + sqrt(216)) + sqrt(216))/(4*sqrt(12)*-5) + -3). -33*sqrt(2)/20 + 3 Simplify 3 + ((((sqrt(162) - (-3 + sqrt(162)*1 + sqrt(162))) + -3)**2 - (-3 + 0 + sqrt(162) + -5)) + 1)*-1. -168 + 9*sqrt(2) Simplify -2*(2 + 1*sqrt(704) + 4 - (-5*sqrt(110)*-4)/sqrt(10)*2). -12 + 64*sqrt(11) Simplify (1 + -2*(-4 + 6*-4*4*sqrt(304)))**2. 13824*sqrt(19) + 11206737 Simplify -1*((3*sqrt(768)*1)/(((sqrt(8) + sqrt(24)/sqrt(3))*6)/sqrt(2))*2)**2. -48 Simplify (-4 + -4*(sqrt(7) + 2))*5 - (-1 + 4 + (2 + sqrt(7) - sqrt(7)) + 2)**2. -109 - 20*sqrt(7) Simplify -6*-3*sqrt(275) + -1 + (sqrt(275) - (-5 + sqrt(275) - sqrt(275))**2*-4)*2. 199 + 100*sqrt(11) Simplify (sqrt(128) + -3*sqrt(128)*-1 - (-3 + sqrt(128)*-1))**2 - ((sqrt(2) + sqrt(2) + -3*sqrt(2) + -4 + 3)*2)**2. 232*sqrt(2) + 3197 Simplify ((sqrt(392) + 2)*6 + ((sqrt(392) - (1 + sqrt(392)))*6)**2 + -5)*2*2. 172 + 336*sqrt(2) Simplify ((-2 + (2*sqrt(320) - sqrt(320)))**2 + -5 - sqrt(40)/((sqrt(160)/sqrt(4) + sqrt(40))/sqrt(5))*3)*-5 + -2. -1597 + 335*sqrt(5)/2 Simplify (sqrt(286)/(sqrt(22)/sqrt(2)))/(-2*sqrt(72)) - ((sqrt(65) - sqrt(65)*1)*-1)/(sqrt(45) + sqrt(90)/sqrt(2)). -sqrt(13)/12 Simplify (((sqrt(220) + 2*sqrt(220)*-6)/(sqrt(4) + sqrt(4)*2*-3))/((-2*sqrt(121)*3 + sqrt(121))/(2*sqrt(275) - sqrt(11))))**2. 9801/125 Simplify (-4*sqrt(275)*-3*-3 + -4 + sqrt(33)/((sqrt(108)/sqrt(4))/sqrt(9)))**2. 1432*sqrt(11) + 352467 Simplify 5*(-2 + 5 + 3 + sqrt(76) + 2 + sqrt(76) + (0 + sqrt(76))*-6 + 2). -40*sqrt(19) + 50 Simplify -5*(6*((sqrt(25)/sqrt(5) + 4)*-3)**2 - (-1 + sqrt(40)/(sqrt(8) + sqrt(8) + sqrt(8)*-3) + 2)**2). -5640 - 2170*sqrt(5) Simplify 2*((4*(sqrt(175) - 3*sqrt(175) - (sqrt(567) + -2)))**2 - (-6*(sqrt(448)*4)**2 + 5)). -2432*sqrt(7) + 166998 Simplify 5 + (sqrt(19) - sqrt(76)/sqrt(4)) + (sqrt(171)*2)**2 + 2 + -2 + sqrt(1900) + -3 + 1. 10*sqrt(19) + 687 Simplify (6*((sqrt(24) + sqrt(24) + sqrt(96)/sqrt(4))/sqrt(12) + 1) + 0 + (1 + sqrt(162) - sqrt(162)) + 4)**2. 396*sqrt(2) + 769 Simplify ((-5*(sqrt(441) - 1*sqrt(441)))/(sqrt(108)/(sqrt(12) + sqrt(12)*-2)))/((sqrt(21) - sqrt(336)*1)/(sqrt(27)/(sqrt(9) + (-1*sqrt(9) - sqrt(9))))). 0 Simplify ((2 + (sqrt(75) - (-5 + sqrt(75)*-3 - sqrt(75))))**2 - ((sqrt(75) - 1*sqrt(75))*1 + -3 + sqrt(75) + -2)**2) + -5. 400*sqrt(3) + 1819 Simplify 4 + ((sqrt(847) - (sqrt(847) + 1 + 5) - sqrt(847)) + -3 + -3 - 5*5*(sqrt(847) - (sqrt(847)*1 + sqrt(847)))*6)**2. -39336*sqrt(7) + 18804395 Simplify (2 + 0 + 2*(-2 + (sqrt(539) - (2*sqrt(539)*-1 - sqrt(539))) + 1))**2 + 5. 34501 Simplify (((-5 + sqrt(847))*1 + 4)**2 - (-5*(sqrt(847) + sqrt(847)*2 + sqrt(847)) + -2))*-3. -2550 - 594*sqrt(7) Simplify (sqrt(104)*3*-4 + sqrt(104) + (sqrt(104) - 3*sqrt(104)*6))/(sqrt(88)/(s
{ "pile_set_name": "DM Mathematics" }
0*f = 0? 0, 2/7, 2 Let a(v) be the first derivative of -1/2*v**6 + 4*v**3 + 13 + 3*v**5 - 6*v**4 + 0*v + 0*v**2. Factor a(w). -3*w**2*(w - 2)**2*(w - 1) Let z be 8/14 - (-3638)/(-119). Let c(j) = -5*j - 150. Let b be c(z). Determine t, given that 20/3*t**2 + 80/3*t**3 - 5/3*t**4 - 20/3*t**5 + b + 0*t = 0. -2, -1/4, 0, 2 Factor -294/5*n - 4*n**3 + 1/5*n**4 + 0 + 133/5*n**2. n*(n - 7)**2*(n - 6)/5 Solve -174*s**2 - 7*s**3 + 43*s**3 - 10*s**3 + 3*s**4 - s**4 + 146*s**3 = 0 for s. -87, 0, 1 Let y(q) = q**2 + 9*q + 1. Let a(i) = -15*i**2 - 255*i - 1220. Let g(x) = -a(x) - 10*y(x). Factor g(s). 5*(s + 11)*(s + 22) Let t be 6 + 7 + 0 + -4. Determine u so that 50*u - 4*u**2 - t*u + 19 - 275 + 23*u = 0. 8 Let p(c) = 10*c**2 + 142*c - 940. Let i(n) = 14*n**2 + 189*n - 1254. Let q(a) = -8*i(a) + 11*p(a). Let q(s) = 0. What is s? 11, 14 Let x be -3*((-94 - -89) + (-21)/(-5)). Let t(d) be the second derivative of 7/50*d**5 - 52/15*d**3 - 11/10*d**4 + 0 - 27*d - x*d**2. Factor t(q). 2*(q - 6)*(q + 1)*(7*q + 2)/5 Let s(i) be the first derivative of 1/40*i**6 - 37/2*i**2 - 1/20*i**5 + 0*i**3 + 1 + 0*i**4 + 0*i. Let m(x) be the second derivative of s(x). Factor m(f). 3*f**2*(f - 1) Let c(l) be the second derivative of l**5/140 + 601*l**4/28 + 361201*l**3/14 + 217081801*l**2/14 - 28*l + 23. Factor c(q). (q + 601)**3/7 Suppose -215/8*x + 7/4 - 1055/4*x**3 + 275/4*x**4 + 125/8*x**5 + 281/2*x**2 = 0. What is x? -7, 1/5, 2 Suppose 4*s = -2*i + 148, -s = 2*i - 27 - 13. Suppose 3*p**2 - 19*p + 15 - 25 - s - 28*p - 4*p**2 = 0. Calculate p. -46, -1 Let r be (3 - -3 - 0) + -29*1/5. Let v(c) be the first derivative of 0*c**2 + r*c**3 - 20 + 0*c. Factor v(j). 3*j**2/5 Let o(d) be the third derivative of -d**8/1344 - d**7/420 + 3*d**6/160 + d**5/120 - d**4/12 + 730*d**2 + 2. Let o(j) = 0. What is j? -4, -1, 0, 1, 2 Suppose -110 = 29*w - 51*w. Let 16*y**w - 47*y**5 - 10*y + 35*y**4 + 30*y**3 + 11*y**5 - 35*y**2 = 0. Calculate y. -1, -1/4, 0, 1, 2 Suppose 7749*w - k = 7752*w - 5, 3*k = w - 15. Let y(r) be the first derivative of 3*r**2 - 10 + 4*r + 2/3*r**w. Solve y(p) = 0 for p. -2, -1 Let j be 44/320*6*1680/1540. Suppose j*b**5 - 21/5*b**4 - 24/5*b + 0 + 4*b**2 + 37/10*b**3 = 0. Calculate b. -1, 0, 4/3, 3 Determine r so that 462/5 + 42/5*r**2 + 507/5*r - 3/5*r**3 = 0. -7, -1, 22 Find k, given that -2*k**4 - 61533*k - 1376*k - 70219*k - 259*k**3 - 836*k**3 + 61*k**3 - 134160*k**2 = 0. -258, -1, 0 Let g(m) be the third derivative of m**7/420 + m**6/10 + 27*m**5/20 + 43*m**3/3 + m**2 + 17. Let i(c) be the first derivative of g(c). Factor i(s). 2*s*(s + 9)**2 Let n(h) = -h**3 + 3*h**2 - h + 160. Let f be n(0). Let d be (f/(-192))/(15/(-4)). Determine z so that -8/9*z - 8/9 - d*z**2 = 0. -2 Let k be (-6)/(-8) + 3/60*-373. Let v = k + 92/5. Factor v*r**5 + 1/2*r**2 + 0*r - 1/2*r**4 - 1/2*r**3 + 0. r**2*(r - 1)**2*(r + 1)/2 Let b(g) = -49*g**3 + g**2 + 19*g**3 + 31*g**3. Let v(o) = -3*o**4 + 7*o**2. Let x(t) = -5*b(t) + v(t). Let x(l) = 0. Calculate l. -2, 0, 1/3 Let v = 6429/1133 + 163/1133. Let -2/11*l**2 + 36/11*l - v = 0. What is l? 2, 16 Let x(d) be the first derivative of 2*d**5/35 + 3*d**4/2 + 4*d**3/7 - 172*d**2 + 336*d - 1345. Let x(p) = 0. Calculate p. -14, 1, 6 Solve -288 - 30914*o - 3*o**3 - 60*o**2 + 61951*o - 30761*o = 0 for o. -24, 2 Let x(c) = -11*c**2 + 211*c - 208. Let t(g) = -18*g**2 + 805*g - 76*g + 964*g - 72*g**2 - 4*g - 1665. Let r(q) = 4*t(q) - 33*x(q). Let r(z) = 0. Calculate z. 1, 68 Let h = 169/815 - -109/7335. Factor -2/9*t + h*t**2 - 4/9. 2*(t - 2)*(t + 1)/9 Let t(v) be the second derivative of v**4/18 + 64*v**3/3 + 3072*v**2 - 3*v + 96. Let t(j) = 0. What is j? -96 Let n be (-1021)/2*(8 + (-260)/35). Let a = 292 + n. Factor 0*k - 2/7*k**2 + 0 - 2/7*k**3 + 2/7*k**5 + a*k**4. 2*k**2*(k - 1)*(k + 1)**2/7 Let u(d) be the second derivative of -25/78*d**4 + 1/3*d**3 + 1/195*d**6 + 0*d**2 + 11/130*d**5 + 49 - 2*d. Find a such that u(a) = 0. -13, 0, 1 Let w(u) be the third derivative of -u**6/40 - 17*u**5/20 - 10*u**4 - 50*u**3 + 408*u**2 - 1. Let w(f) = 0. Calculate f. -10, -5, -2 Let c(w) be the second derivative of w**8/420 + w**7/42 + 5*w**3/2 + 16*w + 1. Let t(h) be the second derivative of c(h). Suppose t(m) = 0. What is m? -5, 0 Let u(q) be the third derivative of -8/3*q**3 + 0*q - 1/2*q**4 + 142*q**2 + 0 - 1/30*q**5. Factor u(o). -2*(o + 2)*(o + 4) Let o = 235 - 231. Let 230*j**3 + 8*j**4 - 20 + o*j**2 - 956*j - 319*j**2 + 1116*j - 63*j**4 = 0. Calculate j. 2/11, 1, 2 Let l(b) = 420*b**2 - 222375*b - 63460. Let g(h) = -35*h**2 + 18531*h + 5288. Let x(o) = -35*g(o) - 3*l(o). Factor x(n). -5*(n - 530)*(7*n + 2) Suppose -5 = 16*r - 37. Factor -42*k**2 + 132*k + 12*k + 242 + 54*k + r*k**3. 2*(k - 11)**2*(k + 1) Suppose 312*o - 292*o - 9 = 71. Factor -3/5*u + 3/5*u**3 + 0 + 3/5*u**o - 3/5*u**2. 3*u*(u - 1)*(u + 1)**2/5 Let j(v) be the second derivative of -19*v - 1/20*v**5 + 2*v**3 + 0 - 1/12*v**4 + 0*v**2. Factor j(x). -x*(x - 3)*(x + 4) Let d(s) be the second derivative of s**7/42 + 8*s**6/15 + 5*s**5/4 - 7*s**4/2 - 2499*s. Factor d(t). t**2*(t - 1)*(t + 3)*(t + 14) Suppose 0 = 6*o - 379 + 19. Factor -128*d**3 - 4*d**5 + 8*d**2 - 24*d**4 - 6 - 24*d + o*d + 22 + 96*d**3. -4*(d - 1)*(d + 1)**3*(d + 4) Suppose 0 = -5*g + 5*s - 15, g + 3*s - 22 = -5. Factor 3*a - 584*a**2 + 587*a**g - 3*a**4 + 0*a**4 - 3*a**3. -3*a*(a - 1)*(a + 1)**2 Suppose 4*m - 44 = 3*p, 0 = -2*m + 3*p - 82 + 122. Let a be 4/(-14) - 2/(-7). Suppose 0*c + 8/15*c**4 - 2/15*c**m + a + 2/5*c**3 = 0. What is c? -1, 0, 1/4 Let v(t) be the first derivative of -2*t**3/9 + 47*t**2/3 - 60*t - 226. Factor v(i). -2*(i - 45)*(i - 2)/3 Factor 9468*s**2 + 1458 + 115*s**4 - 450*s**3 - 7128*s - 17*s**4 - 1398*s**3. 2*(s - 9)**2*(7*s - 3)**2 Factor 1/4*p**2 + 7/4*p + 0. p*(p + 7)/4 Let p(h) be the first derivative of -h**6/42 - 4*h**5/35 + 2*h**4/7 + 2*h**3/3 - h**2/2 - 10*h/7 + 1265. What is z in p(z) = 0? -5, -1, 1, 2 Factor 1/3*b**2 + 40/3 + 14/3*b. (b + 4)*(b + 10)/3 Let w(c) be the second derivative of -c**7/3780 - c**6/405 + 43*c**3/6 + 79*c. Let z(q) be the second derivative of w(q). Factor z(r). -2*r**2*(r + 4)/9 Let a(g) be the second derivative of g**5/5 - 53*g**4/3 + 474*g**3 - 5670*g**2 - 4878*g. Factor a(c). 4*(c - 35)*(c - 9)**2 Find f, given that 645/2*f + 387/2*f**2 + 150 + 39/2*f**3 - 3/2*f**4 = 0. -5, -1, 20 Let h(s) = -10*s**2 - 30*s - 44. Let l(k) be the second derivative of -k**4/2 - 10*k**3/3 - 29*k**2/2 + k - 5. Let i(v) = 5*h(v) - 8*l(v). Factor i(u). -2*(u - 6)*(u + 1) Suppose -2*q + 4*n = -180, -4*q + 4*n + 324 = 8*n. Factor 784 - 6*g**2 + 233*g + 66*g**2 + 355*g + 2*g**3 - q*g. 2*(g + 2)*(g + 14)**2 Let g(v) be the first derivative of -1/2*v**4 + 51 + 4/3*v**3 + 5*v**2 - 12*v. Factor g(c). -2*(c - 3)*(c - 1)*(c + 2) Suppose 75 = -122*n + 123*n. Factor 20*m**3 + 8 + 87*m - 10 - 27*m - 18 + n*m**2. 5*(m + 2)**2*(4*m - 1) Let v(n) = -2*n**2 - n + 1. Let l(r) = -11*r**2 + 60*r - 23. Let f(p) = l(p) + 2*v(p). Let u(o) = 15*o**2 - 59*o + 18. Let j(w) = -4*f(w) - 3*u(w). Factor j(b). 5*(b - 3)*(3*b - 2) Let h(b) be the third derivative of -1/420*b**6 - 6 - 19/210*b**5 + 5/21*b**4 - 2*b**2 + 0*b**3 + 0*b. Factor h(m). -2*m*(m - 1)*(m + 20)/7 Let q = -25429 - -177574/7. Let u = q + 865/14. Factor -u*g**2 + 3/2 - g. -(g - 1)*(g + 3)/2 Let s be (-35)/(-14)*(-84)/(-875)*(-4 + 9). Determine c, given that -9/5*c - s*c**2 - 4/5 - 1/5*c**3 = 0. -4, -1 Let f(m) = -m**2 - 52*m - 64. Let l be f(-29). Let z = -1205/2 + l. Factor 1/2*i**2 - i + z*i**3 + 0. i*(i - 1)*(i + 2)/2 Let d(r) = -5*r + 67. Let s be d(13). Solve -80*b**s - 45*b**3 + 10 - 65*b + 133*b - 93*b = 0 for b. -1, 2/9 Let c be 0*(77/22)/(-7). Suppose 45*f - 95*f = c. Factor -o + f + 1/2*o**2. o*(o - 2)/2 Let r(y) = -3*y - 18 + 4*y + 2*y - y - 12. Let t be r(16). Factor 1/4*x - 1/4*x**t + 0. -x*(x - 1)/4 Factor 0 + 2/5*y**2 + 54*y. 2*y*(y + 135)/5 Suppose -17*c - 20*c = -15*i - 39*c + 33, 2*c = -4*i. Suppose -3/2*t**4 + 9/2*t**2 + 0*t**3 - i*t + 0 = 0. What is t? -2, 0, 1 Let t(h) = 18*h**2 - 80*h - 42. Suppose 3*r - 6 = -b, 32*b + 30 = 37*b + 5*r. Let m(w) = -2*w**2 + 9*w + 5. Let a(z) = b*t(z) + 52*m(z). Solve a(s) = 0. 1, 2 Let v = -729 + 669. Let m be 10/(-25) - 69/v. Factor 3/4*i**2 + 0 - m*i. 3*i*(i - 1)/4 Suppose -13 = -5*
{ "pile_set_name": "DM Mathematics" }
der when 60 is divided by 16. 12 What is the remainder when 465 is divided by 78? 75 Calculate the remainder when 830 is divided by 28. 18 Calculate the remainder when 207 is divided by 11. 9 Calculate the remainder when 2341 is divided by 93. 16 Calculate the remainder when 22417 is divided by 59. 56 Calculate the remainder when 7 is divided by 1. 0 What is the remainder when 858 is divided by 59? 32 Calculate the remainder when 666 is divided by 217. 15 Calculate the remainder when 13339 is divided by 75. 64 Calculate the remainder when 4571 is divided by 327. 320 What is the remainder when 181 is divided by 75? 31 What is the remainder when 1847 is divided by 154? 153 What is the remainder when 284 is divided by 26? 24 Calculate the remainder when 138 is divided by 70. 68 Calculate the remainder when 4401 is divided by 313. 19 Calculate the remainder when 81 is divided by 21. 18 Calculate the remainder when 366 is divided by 8. 6 Calculate the remainder when 206 is divided by 19. 16 Calculate the remainder when 577 is divided by 39. 31 Calculate the remainder when 481 is divided by 9. 4 What is the remainder when 493 is divided by 126? 115 What is the remainder when 514 is divided by 48? 34 Calculate the remainder when 763 is divided by 246. 25 What is the remainder when 332 is divided by 71? 48 Calculate the remainder when 584 is divided by 39. 38 What is the remainder when 4921 is divided by 13? 7 What is the remainder when 774 is divided by 152? 14 Calculate the remainder when 103 is divided by 31. 10 Calculate the remainder when 45 is divided by 23. 22 Calculate the remainder when 289 is divided by 114. 61 Calculate the remainder when 76 is divided by 31. 14 Calculate the remainder when 27 is divided by 17. 10 What is the remainder when 203 is divided by 104? 99 Calculate the remainder when 10561 is divided by 7. 5 What is the remainder when 663 is divided by 23? 19 What is the remainder when 334 is divided by 8? 6 Calculate the remainder when 127 is divided by 19. 13 Calculate the remainder when 351 is divided by 65. 26 Calculate the remainder when 616 is divided by 207. 202 Calculate the remainder when 7312 is divided by 71. 70 What is the remainder when 178 is divided by 53? 19 Calculate the remainder when 662 is divided by 83. 81 What is the remainder when 208 is divided by 103? 2 Calculate the remainder when 288 is divided by 258. 30 Calculate the remainder when 83 is divided by 12. 11 What is the remainder when 1468 is divided by 32? 28 What is the remainder when 412 is divided by 53? 41 What is the remainder when 177 is divided by 157? 20 Calculate the remainder when 2216 is divided by 60. 56 What is the remainder when 289 is divided by 28? 9 What is the remainder when 222 is divided by 70? 12 What is the remainder when 66 is divided by 18? 12 Calculate the remainder when 2235 is divided by 31. 3 What is the remainder when 12 is divided by 4? 0 Calculate the remainder when 1389 is divided by 48. 45 What is the remainder when 114 is divided by 45? 24 Calculate the remainder when 410 is divided by 21. 11 What is the remainder when 2369 is divided by 15? 14 Calculate the remainder when 3113 is divided by 207. 8 What is the remainder when 471 is divided by 49? 30 Calculate the remainder when 7180 is divided by 4. 0 What is the remainder when 239 is divided by 61? 56 Calculate the remainder when 64 is divided by 14. 8 What is the remainder when 715 is divided by 316? 83 What is the remainder when 2492 is divided by 71? 7 Calculate the remainder when 147 is divided by 51. 45 Calculate the remainder when 78 is divided by 17. 10 What is the remainder when 364 is divided by 25? 14 Calculate the remainder when 260 is divided by 16. 4 What is the remainder when 150 is divided by 21? 3 Calculate the remainder when 113 is divided by 56. 1 What is the remainder when 1435 is divided by 12? 7 Calculate the remainder when 1249 is divided by 372. 133 What is the remainder when 71 is divided by 56? 15 What is the remainder when 2745 is divided by 390? 15 What is the remainder when 10013 is divided by 6? 5 What is the remainder when 37102 is divided by 217? 212 Calculate the remainder when 1298 is divided by 377. 167 What is the remainder when 105 is divided by 58? 47 What is the remainder when 839 is divided by 12? 11 Calculate the remainder when 636 is divided by 213. 210 What is the remainder when 205 is divided by 53? 46 Calculate the remainder when 928 is divided by 78. 70 What is the remainder when 288 is divided by 52? 28 What is the remainder when 2078 is divided by 168? 62 Calculate the remainder when 1368 is divided by 183. 87 What is the remainder when 277 is divided by 69? 1 Calculate the remainder when 86 is divided by 30. 26 What is the remainder when 48839 is divided by 17? 15 What is the remainder when 204 is divided by 23? 20 Calculate the remainder when 1847 is divided by 38. 23 Calculate the remainder when 6818 is divided by 155. 153 What is the remainder when 446 is divided by 26? 4 Calculate the remainder when 3997 is divided by 32. 29 What is the remainder when 118 is divided by 57? 4 Calculate the remainder when 1901 is divided by 8. 5 Calculate the remainder when 726 is divided by 56. 54 What is the remainder when 7943 is divided by 35? 33 Calculate the remainder when 71 is divided by 37. 34 What is the remainder when 1325 is divided by 51? 50 What is the remainder when 19 is divided by 10? 9 Calculate the remainder when 156 is divided by 75. 6 Calculate the remainder when 2801 is divided by 51. 47 Calculate the remainder when 143 is divided by 60. 23 Calculate the remainder when 562 is divided by 27. 22 What is the remainder when 11197 is divided by 5593? 11 What is the remainder when 574 is divided by 40? 14 Calculate the remainder when 650 is divided by 82. 76 What is the remainder when 17 is divided by 10? 7 Calculate the remainder when 332 is divided by 42. 38 Calculate the remainder when 9334 is divided by 14. 10 What is the remainder when 608 is divided by 220? 168 What is the remainder when 655 is divided by 53? 19 What is the remainder when 3634 is divided by 519? 1 What is the remainder when 3862 is divided by 550? 12 What is the remainder when 1502 is divided by 26? 20 Calculate the remainder when 24748 is divided by 150. 148 Calculate the remainder when 121 is divided by 22. 11 Calculate the remainder when 120 is divided by 31. 27 What is the remainder when 863 is divided by 24? 23 Calculate the remainder when 896 is divided by 130. 116 Calculate the remainder when 719 is divided by 16. 15 Calculate the remainder when 793 is divided by 161. 149 Calculate the remainder when 215 is divided by 1. 0 What is the remainder when 105 is divided by 27? 24 Calculate the remainder when 3199 is divided by 20. 19 Calculate the remainder when 315 is divided by 128. 59 Calculate the remainder when 47 is divided by 28. 19 Calculate the remainder when 91 is divided by 46. 45 Calculate the remainder when 36 is divided by 20. 16 What is the remainder when 704 is divided by 21? 11 Calculate the remainder when 42 is divided by 25. 17 What is the remainder when 287 is divided by 99? 89 What is the remainder when 174 is divided by 45? 39 Calculate the remainder when 228 is divided by 177. 51 What is the remainder when 138 is divided by 69? 0 Calculate the remainder when 456 is divided by 77. 71 What is the remainder when 27 is divided by 21? 6 Calculate the remainder when 33 is divided by 6. 3 What is the remainder when 2401 is divided by 597? 13 What is the remainder when 342 is divided by 216? 126 What is the remainder when 1607 is divided by 14? 11 What is the remainder when 389 is divided by 18? 11 What is the remainder when 5543 is divided by 9? 8 Calculate the remainder when 1648 is divided by 410. 8 What is the remainder when 322 is divided by 36? 34 What is the remainder when 697 is divided by 210? 67 Calculate the remainder when 92 is divided by 8. 4 What is the remainder when 1368 is divided by 14? 10 Calculate the remainder when 1357 is divided by 29. 23 What is the remainder when 3407 is divided by 842? 39 Calculate the remainder when 3069 is divided by 83. 81 Calculate the remainder when 536 is divided by 110. 96 What
{ "pile_set_name": "DM Mathematics" }
+ 76. Let a = w - -44. Let m = -0.01 - 0.99. What is the nearest to m in 0.5, -5, a? a Let f = -2.3346 + 2.0346. Which is the nearest to -1? (a) 3/4 (b) -0.36 (c) -5 (d) f b Let y = -10402 - -10398. Which is the nearest to -3? (a) -0.6 (b) 3 (c) y c Let p = 3490.1 - 3490. What is the closest to 0.07 in -4, p, -1, -15/8? p Suppose -4*x = -4*k + 156 - 168, -5*k = -x + 11. What is the closest to k in 5/2, -2, 0.5, 2/9? -2 Let v be (-2)/(-3)*9 - (-29)/(145/(-100)). What is the closest to v in 0.3, -2/9, 1/5, -10? -10 Let z = 28/3 - 302/33. Let o(j) = -77*j + 9. Let y be o(3). Let u = y - -3328/15. Which is the closest to 1? (a) u (b) -14 (c) z c Let y = -2254 - -6766/3. What is the closest to -1 in -2/7, -2/13, -2, y? -2/7 Let t = -57.7 - -49. Let k = -9 - t. Let s(d) = -3*d**2 + 61*d + 38. Let p be s(21). Which is the closest to -8? (a) k (b) -2/5 (c) p c Let o = 6826 - 6827.5. What is the nearest to 0 in o, -2/5, 6, 4? -2/5 Let q = 0.7704 + 0.0396. Let m = 1.11 - q. Let k = -497/99 - -54/11. Which is the nearest to 3? (a) k (b) 0.1 (c) m c Let q = 698 - 703. Let i = 63 - 123/2. What is the nearest to -3 in 0.5, q, i? q Let g be (-2)/9 - (-125)/(-45). Suppose 3*i = -3*i + 24. Let q be (-1 + 5 - 2)*3/(-27). Which is the closest to g? (a) q (b) -4 (c) i b Let c(j) = -120*j + 114. Let b be c(1). What is the closest to 0.1 in -43, 0.4, b, -3? 0.4 Let m(s) = s**2 - 2*s - 3. Let f be m(4). Let h = 6111 + -6103. Suppose -h*q + f*q = q. What is the closest to q in -0.1, -0.18, -3? -0.1 Let g = 742 - 747. Let w be 20/(-25) + 1 + 1. Which is the closest to 2/3? (a) -4 (b) g (c) w c Let c be (-2)/(-16)*(-4)/40*1. What is the nearest to -1/2 in -1/10, c, 2, 0? -1/10 Let z = -61.12 - -57. Let m = z - -4.62. Which is the nearest to 5? (a) m (b) -4 (c) -0.4 a Let i be ((-44)/5)/(-2)*((-1518)/99 + 17). Which is the nearest to i? (a) 2/11 (b) -3/4 (c) 61 a Let h be (-2 - -3)*-2*2. Let q be h/(-16) - (-25)/(-20). Which is the nearest to -3? (a) 2 (b) q (c) -19 b Let w = 3439 + -3443. What is the nearest to -14 in w, 2, 0.16? w Let q = 162.24 + 2.76. Let j = 172 - q. What is the nearest to -2/7 in -4, 0.05, j? 0.05 Suppose l + 0 - 3 = 0. Let m = -1737/4 + 1731/4. Which is the closest to -3/4? (a) l (b) 1/10 (c) m c Let r = -79.1259 - 0.0741. Let s = -42 - -121. Let l = r + s. Which is the nearest to l? (a) 2/13 (b) -4 (c) 3 a Let r be 24/(-8) - (-11862)/34. Let w(s) = s**3 - 5*s**2 + 19*s - 1. Let a be w(-5). Let y = r + a. What is the nearest to -1/4 in 4, 1/5, y? y Let s = 37060 + -37052. Which is the nearest to -152? (a) s (b) -5 (c) -1 b Let w = -3914 + 11743/3. Let p = -1.5 + -1.5. Which is the closest to w? (a) -5 (b) -2 (c) p b Let u be 3/(-8) - (2/(-12) + (-207)/(-1080)). Let x = 5 - 9. Let k = -3/8 + 1/8. What is the nearest to u in k, 3, x? k Let k = -11684/3 + 3894. What is the closest to 7 in k, 8, 1, 0.3? 8 Let m = -128 - -200. Let r = m + -147. Let y = r - -73. Which is the nearest to 0.09? (a) -5 (b) y (c) -0.4 c Let n = -5.45 - -52.85. Let z = 9.4 - n. Let h = 37.97 + z. Which is the closest to 1? (a) h (b) -3 (c) 4 a Let j = 26731 + -26731.09. What is the closest to 1.4 in -4/5, j, 5? j Let i be (-2)/4*(-12)/(-42). Let l be 303/312 - 22/(-143). Which is the nearest to l? (a) 4 (b) i (c) 0.2 c Let n = -2877 + 2873. What is the closest to 6 in n, -19, -7, 2? 2 Let j be (1/(-4))/1 - (-3366)/(-748). Which is the nearest to 0.1? (a) 0 (b) -4/7 (c) 5 (d) j a Suppose -5*i = -5*y + 45, 0*y + 3*i - 3 = -2*y. Suppose -y*m + 7*m - 100 = 0. Let w be 2 + -6 - m/(-28). What is the nearest to 0.2 in w, 1/3, -0.5? 1/3 Let t = -75.97 + 76. Let r = -67.97 - t. Let v = r + 68.2. What is the nearest to 2/5 in 0, 2, v? v Let z be ((48/(-40))/6)/((-1)/(-2)). Let t = 23 - 22. Which is the closest to 2? (a) t (b) z (c) -6 a Let l = -14689/73495 + -2/14699. Which is the closest to -1? (a) -2/5 (b) 30/13 (c) l a Let v = 4 + -5. Let z = 2 + v. Let f = -7011.7 - -7012. What is the closest to z in f, 1, 3? 1 Let i = -897 - -1045. Let m = -153 + i. Let j = 39 + -116/3. Which is the closest to j? (a) 0.5 (b) 2/11 (c) m b Suppose -4*f - 26 = -3*g, 0 = g + 18*f - 23*f - 27. Let h = -93 + 95. Which is the nearest to g? (a) -1 (b) h (c) -3/2 (d) -5 b Let i = -314 - -312. What is the nearest to -393 in -4, 2, i? -4 Let z = -46 + 31. Let l = z - -22. Let x = 8 - l. Which is the nearest to x? (a) -1/2 (b) -0.3 (c) 2/3 c Let z = 3 - 2.8. Let o = 2/773815 + 309524/773815. Let s = 2.4 + -0.4. What is the nearest to s in o, z, 0.3? o Let j = -2 + 2.1. Let t = -712 + 2068. Let c = 1323 - t. What is the closest to 1 in j, 2, c? j Let i = 483 - 378. Let u = i - 100. Which is the closest to -1/4? (a) u (b) -6 (c) 3/5 c Let p = 0 - -0.2. Let m = 13115.6 + -13116. What is the closest to m in 2/3, 5, p? p Suppose 0 = -21*o + 103 + 485. Suppose 17*b + 11*b + o = 0. What is the closest to 1 in 7, 5, -0.4, b? -0.4 Let t = 21066.6 - 21066. What is the nearest to 17 in 4/5, t, 4? 4 Let y = -538.9 - -567. Let n = 28.23 - y. What is the nearest to 0 in 1, n, -3? n Let d = 0.1547 - 0.2347. What is the nearest to -0.1 in -1/3, -90, d? d Suppose 0 = 5*h - 9*h - 100. Let q = h + 31. Suppose 0 = q*w - 4*w - 2. What is the nearest to 1 in 2/7, 0.3, w? w Let z = -0.06 - 0.24. Let r = 0.1948 - 0.1948. Which is the nearest to 0.4? (a) 3/5 (b) z (c) -2/11 (d) r a Let m = -27 + 33. Let x be 6/45*9/m. Let f(y) = y**3 - y**2 + y + 1. Let l be f(0). What is the closest to l in x, 1/6, 2? x Let r = 944179 + -943743.017. Let d = r + -436. Which is the nearest to 2? (a) -3 (b) 5 (c) d c Let d = 439/4712 - -3/248. Let k = 36 + -21. What is the nearest to -1 in k, -2, 3/4, d? -2 Let s = 433 - 436. Let d be (4 + (-2)/1)/1. Which is the closest to 1? (a) s (b) d (c) -2/7 b Let h = 3896 + -19478/5. What is the closest to 0.21 in 0.2, h, 3, -1/5? 0.2 Let s = 2994/35 + -596/7. Which is the closest to -2/9? (a) 2/13 (b) -0.4 (c) s (d) 1 b Let h = -4581 - -4588. Which is the nearest to 1/4? (a) -107 (b) 5 (c) h b Suppose -5*j = -3*o - 36, -3*j + 15 = o - 5*o. Let c = -3977/88 - -363/8. Let t = 28.2 + -28.1. What is the closest to -1 in j, c, t? t Let d be (-2)/5 - (-12)/105. Let y = 17.32 + -17.28. Which is the closest to d? (a) y (b) 4 (c) 0 c Suppose 792 = 5*d - 9*d. Let v = 202 + d. Let x = 0.99 - -0.01. Which is the nearest to v? (a) x (b) -2 (c) 2/3 a Let v = 8493 - 8492. Which is the closest to 0.2? (a) 0 (b) 6/23 (c) v b Let g = 17183 - 17182. Which is the closest to g? (a) -7 (b) -2/5 (c) -3 b Let d = 10790.9 + -9787. Let o = -1004 + d. Let b(k) = -2*k**2 + k + 1. Let w be b(-1). What is the closest to w in o, 5, 1? o Let k = -212 - -140. Let w be 18/28*(-84)/k. What is the closest to 2 in -0.1, 1/2, w? w Let r(w) = -w**3 + 3*w**2 + 5*w - 5. Let o be r(2). Let z be o/27*(-12)/70. What is the closest to 0 in -2, -0.1, z? z Let y = 271.135 + -271.07. Which is the closest to -3? (a) y (b) -0.22 (c) 0 b Let p = -2061/8 + 255. Let r = 257/104 + p. Let i = 0.36 + -0.26. Which is the closest to 1? (a) 0.5 (b) r (c) i a Let k = -0.1043 - 4.2657. Let q = k - -0.12. Let m = q - -0.25. Which is the closest to -2? (a) m (b) 0.4 (c) 4 a Let a be (60/16 + -4)*2*-1. Let l = 258 + -257.7. What is the closest to l in -0.4, a, -1? a Let z be 3*2/4 + -77 + 74. Which is the closest to 5/41? (a) 2/7 (b) 1/3 (c) 0.3 (d) z a Let i = 61 - 51. Let p be (-15 + 8 - -2)*(-4)/i. Let o = -1 + 0.9. What is the closest to o in p, 5, -4? p Let q = 116486.1 - 116486. Let s = -0.06 - 0. Let o = 0.46 + s. What is the closest to q in o, 5, -0.3? o Let o(m) = 9*m - 35. Let f be o(4). Let d = -20.9 + 26. Let n = d + -5.6. What is the closest to f in 0, n, -2? 0 Let g be ((-50)/(-30))/(10/300*25). Which is the nearest to 0? (a) 9 (b) g (c) 2/21 c Let v = -5.37 + 4.892. Let g = 0.078 + v. Suppose -m = -2*s - 5 - 5, -4*m = s - 4. Which is the nearest to -4? (a) -1/2 (b) s (c) g b Let l be 1*(148/(-28) + 8 + -3). Which is the nearest to -2/7? (a) l (b) 6 (c) 5 (d) 3/7 a Let r = -0.2 + 0.1. Let j = -3 + 13/4. Suppose -146 + 122 = 24*y. Which is the nearest to j? (a) y (b) r (c) -2/31 c Let r = -977 - 2826. Let c = 11525/3 + r. Let
{ "pile_set_name": "DM Mathematics" }
*j - 8132 = -80*j. Calculate the remainder when j is divided by 45. 17 Let x = 3087 - 3083. What is the remainder when x is divided by 1*3 - (-3 - -2)? 0 Let a = -33364 + 33442. Let q = 4 - -16. What is the remainder when a is divided by q? 18 Let x = -646 + 682. What is the remainder when 103 is divided by x? 31 Let v = -479 - -487. Calculate the remainder when 461 is divided by v. 5 Suppose 21*l = 799 - 463. Calculate the remainder when 2524 is divided by l. 12 Suppose -3*p = x + 8, -2 = 2*x + 8. Let g(d) = -2*d**2 + 4*d**2 - 6*d**2 + 3*d**2 + 1 - 4*d**3. What is the remainder when 11 is divided by g(p)? 3 Let n = 13 - 11. Suppose k = 4*m - 44, -4*m = -4*k + n*k - 48. What is the remainder when 1176/16*(-4)/(-6) is divided by m? 9 Let f = 1334 - 1282. What is the remainder when 145 is divided by f? 41 Let i = -1001 + 1017. Calculate the remainder when 37 is divided by i. 5 Suppose 5*b - 2*n - 1164 = 0, b - n = 117 + 117. Calculate the remainder when b is divided by 59. 55 Suppose -5*t = 5*d, 0 = -t - 3*d - 0 - 6. Suppose 0 = t*b + 6*b - 45. Suppose 2*i = -3 + 29. What is the remainder when i is divided by b? 3 Let v = 626 + -598. Calculate the remainder when v is divided by 8. 4 What is the remainder when 234 is divided by (1/((-6)/226))/((-89)/267)? 8 Suppose -1048 = 10*j - 1218. Calculate the remainder when 2665 is divided by j. 13 Let g = 11 + -7. Suppose -8*r = -4*r. Suppose -m - 5*h = 6, -2*m + r*h = 3*h - 16. What is the remainder when m is divided by g? 2 Let y(j) be the third derivative of j**5/60 - j**4/6 + j**3/3 + 21*j**2. Calculate the remainder when y(-6) is divided by 17. 11 Suppose -11*o + 5*s - 674 = -13*o, 0 = 2*o - 5*s - 694. Calculate the remainder when o is divided by 115. 112 Let g(p) = -p**2 + 6. Let q be (-2)/10 - (-2)/10. Calculate the remainder when g(q) is divided by 3. 0 Calculate the remainder when 11 - -525*2/3 is divided by 93. 82 Calculate the remainder when (-876)/73 - (1 + -154) is divided by 12. 9 Let n(r) = r**2 - r - 2. Let u be (-180)/14 + (-1)/7. Let h = 9 + u. Calculate the remainder when 69 is divided by n(h). 15 Let y(p) = p**3 - 40*p**2 - 43*p + 97. What is the remainder when y(41) is divided by 5? 0 Let i = 407 - 322. Suppose 96 = 13*z - 9*z. Calculate the remainder when i is divided by z. 13 Suppose -29*c + 25*c = -20. Suppose y = 5*b - 2*y - 61, -c*b + 51 = 2*y. What is the remainder when 26 is divided by b? 4 Let w = -322 - -441. Calculate the remainder when w is divided by 20. 19 Suppose -809 = -16*i - 297. Calculate the remainder when 221 is divided by i. 29 Calculate the remainder when (-8)/((-160)/12) - (-1311)/15 is divided by 13. 10 What is the remainder when (-58)/(-261) - (-628)/9 is divided by 25? 20 Let i(o) = o**3 - 11*o**2 + 9*o. Let t be i(10). Let u = t - -45. What is the remainder when u is divided by 12? 11 What is the remainder when (-365)/(-2)*5/((-100)/(-8)) is divided by 17? 5 Let b = 3 + -9. Let r = b - -14. Calculate the remainder when 9 is divided by ((-20)/r)/((-2)/4). 4 Suppose -271*i + 273*i = 184. Calculate the remainder when 177 is divided by i. 85 Let o = 18 + -22. Let h = 4 + o. Suppose n - 3*n + 28 = h. Calculate the remainder when 39 is divided by n. 11 Let o(b) = -b**3 - b**2 - 4*b + 87. Calculate the remainder when o(0) is divided by 14. 3 Let m = -37 + 41. Let o = 8 + m. Calculate the remainder when 56 is divided by o. 8 Let u = -339 - -640. What is the remainder when u is divided by 99? 4 Let a be 34/51 - (-472)/(-6). What is the remainder when (-1 - -11)*a/(-4) is divided by 22? 19 Let u = -24 + 122. Suppose 3*y = y + 40. Calculate the remainder when u is divided by y. 18 Let r = 1226 + -1103. Calculate the remainder when r is divided by 20. 3 Suppose 6*g = 5*g + 212. Suppose 0*c = 4*c - g. Calculate the remainder when c is divided by 14. 11 Let i be 14/(-35)*(67 + -2). What is the remainder when ((-39)/i)/((-6)/(-136)) is divided by (-4)/14 - (-256)/14? 16 Let b = -60 - -328. Calculate the remainder when b is divided by 15. 13 Let b = 363 + -308. Calculate the remainder when 327 is divided by b. 52 Let u = -25 - -35. Let z(p) = p**2 + 7*p + 8. Let i be z(-6). Suppose 5 = -5*v - 5, -i*b = -2*v - 60. Calculate the remainder when b is divided by u. 8 Let q(j) = 2*j**3 + 4 - 2 - 3*j + 1 - 2*j**2. Suppose 0 = 183*m - 185*m + 26. Calculate the remainder when m is divided by q(2). 3 Suppose -b + 3*b - 120 = -4*t, -2*t + 64 = 2*b. Suppose 35*y = t*y + 70. What is the remainder when 89 is divided by y? 9 Let f = -20 - -22. Let m = 19 - f. Calculate the remainder when 1/3 - 95/(-3) is divided by m. 15 Let t = -220 + 319. Calculate the remainder when t is divided by 36. 27 Let v = -75 + 101. Suppose -14 - v = -8*s. Calculate the remainder when 18 is divided by s. 3 Suppose -2*b + 5*m = -13 - 3, b - 7 = 2*m. Let n(u) = u. Let h(v) = 8*v - 5. Let y(z) = h(z) - 2*n(z). Calculate the remainder when y(b) is divided by 8. 5 Let h(o) be the second derivative of o**3 - 9*o**2 + 11*o. Calculate the remainder when 11 is divided by h(4). 5 Calculate the remainder when 241 is divided by 30/(-240) + (-481)/(-8). 1 Suppose 0*q = -5*q. Suppose q*s = -s - 34. Calculate the remainder when 6 is divided by s/(-8) - 1/4. 2 Let x be (-228 - 0) + -1 - 0. Suppose -15*o = -410 + 140. What is the remainder when (-4)/(-14) + x/(-7) is divided by o? 15 Suppose -13*u + 20*u - 3801 = 0. Calculate the remainder when u is divided by 68. 67 Let i(x) = x**3 + 7*x**2 + 6*x - 7. Let j be i(-5). Suppose -j*r = -18*r + 40. Calculate the remainder when r is divided by 5. 3 Suppose 3*u + 12*c = 9*c + 15, 0 = 2*u + c - 13. Let s(i) = 1. Let w(k) = k - 10. Let v(g) = -4*s(g) - w(g). What is the remainder when v(-7) is divided by u? 5 Suppose -184*n = -186*n + 574. Calculate the remainder when n is divided by 92. 11 Let v = 9 - 6. Suppose 0*r = r - v. Suppose 0 = -k - 5, -r*s + 2*k + 44 = k. Calculate the remainder when 37 is divided by s. 11 Suppose -3*n + 7 + 35 = 0. Suppose -47*b + b - 668 + 4256 = 0. What is the remainder when b is divided by n? 8 Calculate the remainder when 174 is divided by (968/99)/(8/36). 42 Let j = 1238 + -1227. Suppose -219 = -3*q + 3*t, q + 3*q - 294 = 2*t. What is the remainder when q is divided by j? 8 Suppose -18*q + 19*q = -5*w + 22, 8 = 4*w - 4*q. What is the remainder when 7 is divided by w? 3 Let l be (2 + -1)*(-18)/(-6). Let i be l/(12/(-16)) - -7. Suppose j - 1 = u, -u + 0 + 7 = i*j. Calculate the remainder when 6 is divided by j. 0 Let y(r) = -5*r - 1. Let c = -8 + 7. Calculate the remainder when 9 is divided by y(c). 1 What is the remainder when 69 is divided by 49/(-2)*(-16)/14? 13 Suppose -4*a - 41 - 3 = 4*w, -5 = -5*a. Suppose -5*l = -3*q - 69 - 44, -4*q = -l + 26. What is the remainder when l is divided by 1/(-4) - 147/w? 10 Let s(f) = -12*f - 18. Let w be s(-4). Suppose -2*b + 4*h + w = 0, -4*h + 0*h = b + 15. Calculate the remainder when 43 is divided by b. 3 Let a(t) = t**3 + 8*t**2 + 7*t - 10. Let q be a(-6). Let g be (q/30)/(4/66). Suppose -g = 3*o - 4*o. What is the remainder when 19 is divided by o? 8 Suppose 0*q + 2 = -r + 2*q, -5*q + 3 = -3*r. Suppose -r*c + 37 + 15 = -5*d, -4*d - 50 = c. What is the remainder when (-40)/d - (-2)/(-6) is divided by 1? 0 Suppose -3*j + 2 = -4. Suppose 3*u + 277 = -j. Calculate the remainder when 64 is divided by (-3)/(-2) + u/(-6). 13 Let n(x) = x**3 + 13*x**2 + 27*x + 32. Calculate the remainder when n(-10) is divided by 17. 11 Let o = 50 + 6. Suppose -2*t + 3*i + 64 = 0, 2*t - i - 16 = 44. Calculate the remainder when o is divided by t. 27 Suppose 5*o = 15, 4*h = 3*h - 2*o + 41. Suppose -3*n = -2*m + 2*n - 1, -5*n = 5*m - 15. Let v(p) = 9*p. Calculate the remainder when h is divided by v(m). 17 Let c = 248 + -221. What is the remainder when 44 is divided by c? 17 Let o(w) = -w + 27. What is the remainder when 63 is divided by o(-5)? 31 Calculate the remainder when (-118)/(-6) + 8/(-12) is divided by (21/28 - 1)*-28*1. 5 Calculate the remainder when (-5)/(-10)*-6 + 69 is divided by 14. 10 Let u = -658 + 778. What is the remainder when u is divided by 47? 26 Let y = -30 + 51. Suppose -2*a + y = -297. Calculate the remainder when a is divided by 23. 21 Calculate the remainder when (-8)/(-160)*1308 - (-4)/(-10) is divided b
{ "pile_set_name": "DM Mathematics" }
+ -9. What is the nearest to d in z, -2, 0? 0 Let n = 9 + -4. Let w = 8 + -15/2. Which is the nearest to 1/5? (a) 2 (b) w (c) n b Suppose -5*i = 4*o + 7, -1 = -4*i - 4*o + 3*o. Suppose -3*j - 2*a - 27 = -11, -4*a - 16 = -2*j. What is the nearest to -0.02 in i, -0.5, j? -0.5 Let t be 8/(-12) + 10/(-3) + (1 - -2). Let x = 12/41 + -166/287. Let d be ((-12)/45)/(2/(-3)). Which is the nearest to t? (a) d (b) -4 (c) x c Let r = -5800 - -5805. Let b(o) = 4*o + 3. Let d be b(-2). What is the nearest to -0.1 in d, r, -0.2? -0.2 Let z = 200 - 3399/17. Let y be ((-4)/(-8))/(1/6). What is the closest to 1 in -5, z, y? z Let j(x) = x**3 + 24*x**2 + 28*x + 113. Let t be j(-23). Which is the nearest to 1/18? (a) -9 (b) 0.5 (c) -4/7 (d) t b Let g be 4/8 - ((-6501)/(-2862) + -2). Let x = g + -1/159. What is the closest to x in 4, 2, 0.04? 0.04 Let w be 7/10 - 7/35. Let z = 12855/13 + -989. Which is the closest to 4? (a) 3 (b) z (c) w a Let h(f) = 3*f**3 - f**2 - 2*f + 2. Let t be h(1). Suppose 3*i - 21 = -3*r, 0 = i + t*i - 3*r + 9. Which is the nearest to 0.1? (a) -0.5 (b) i (c) 0 c Let k(l) = -3*l**2 - 6*l + 4. Suppose 2*v + 8 = t, -10 = -2*t - 3*t. Let r be k(v). Which is the closest to 0.08? (a) r (b) 2/19 (c) -0.4 b Let f = 19.9 + -14.9. Which is the closest to 1? (a) -0.06 (b) f (c) 2 c Let q = 0.144 + -0.344. Which is the closest to -0.2? (a) 6 (b) 5 (c) q c Let f = -2.4 + 2. Let z = -0.5 - -1. Let t be -10 + (-2544)/(-252) + 8/14. Which is the nearest to t? (a) f (b) 1 (c) z c Let f = -1018.4 + 1016. Which is the nearest to -0.06? (a) 2 (b) f (c) -0.1 c Let w = -281 + 281. What is the closest to w in -0.5, 0.2, -19/2, 0.1? 0.1 Let b(v) = -v + 10. Let a be b(5). Suppose 6 = -a*p - 9. Let u be 0/14 + -1*2/(-11). What is the closest to -2/9 in p, 0.3, u? u Let q = -38 + 27. Let i = -249 + 239. Let m = i - q. What is the nearest to -0.1 in m, -2/11, -2? -2/11 Let w = -40 + 40. What is the closest to 1/4 in w, -3, 1? w Let z = 15459/8 - 1935. Which is the closest to -0.1? (a) -2 (b) z (c) -3 a Suppose 4*r + 8 = -8. Let q be (-25)/(-12)*2 + r. What is the closest to 0.1 in 4, -3/7, q? q Suppose -4*t = 3*x - 12, -16 = 6*x - 10*x. Which is the closest to t? (a) 1/5 (b) -3/2 (c) 0.12 c Let b be ((-74)/(-111))/(13/3). What is the closest to 1 in -0.6, -1, b, 0.5? 0.5 Let z(i) = -i**2 + 11*i + 15. Let y be z(12). Suppose 2*x - y*x = -3. Let k be (2/(x + -1))/1. Which is the closest to 1? (a) 3 (b) 1/3 (c) k c Let z(h) = -2*h**2 + 31. Let f be z(-4). Let r = 0.2 + -0.3. Let d = 425/7 - 61. Which is the nearest to d? (a) -4 (b) f (c) r c Let s(i) = i**3 + 4*i**2 - 3*i + 5. Let c be s(-5). Let r = -1.22 - -1.165. Let o = -0.155 - r. What is the nearest to 0.2 in o, 4, c? o Let x = -22 - -18. What is the closest to 234 in 2/13, -0.3, 2, x? 2 Let l = -1.07 - -0.87. Let w = -0.4 - -0.3. Let v = w + 0.1. What is the closest to v in -0.5, -5, l? l Let h = 263.1 + -261. Let f = 0.04 - 2.04. Let y = h + f. What is the closest to y in -0.4, 0.2, -1? 0.2 Let l = 307/520 + 1/104. Suppose -9*n + n = 24. What is the closest to 0 in l, n, -4? l Let r = -0.072 - -0.06. Let x = r - -0.012. Let g = -2.03 - -0.03. Which is the nearest to g? (a) -1/7 (b) x (c) 1 a Let h(q) = q**2 - 2*q + 2. Let d be h(4). Let p be (-30)/7 - d/(-35). What is the closest to 0 in 0.2, -2, p? 0.2 Let y(f) = f**3 + 7*f**2 - 6*f + 4. Suppose l - 2*l - 4 = 0, 5*q + 5*l = -60. Let i be y(q). Let x = 11 + i. What is the closest to 1/4 in 3, x, -3? x Suppose -x = 2*d + 18, -2*d + 30 = -5*x - 0*x. What is the nearest to x in -2/13, -3, -2? -3 Let t = 187.6 - 189.6. Which is the closest to -2? (a) -5 (b) -44 (c) t c Let u = 22 - 21. Let a = -0.028 - -0.298. Let m = a + 0.03. What is the nearest to u in m, -0.2, -2? m Let x = -76 + 0. Let n = -75.96 - x. What is the nearest to n in 0.1, 0.2, -3? 0.1 Let t be ((-43)/129)/((-1)/(-3)). What is the nearest to t in 4, -0.9, -0.5? -0.9 Suppose 4*n - 6 = -26. Let q = n - -8. Suppose q*j = -2*j + 5. Which is the nearest to j? (a) 1/5 (b) -1/10 (c) -0.4 a Let h be ((-1)/(-10))/(43/(-172)). Which is the nearest to 1? (a) h (b) 0.2 (c) -41 b Let w = 46 - 53.8. Let d = w + 7.8. Which is the nearest to d? (a) 7 (b) 0.5 (c) 1/3 c Suppose 0 = -3*z - 7 + 31. Let d be z/(-33)*(-12)/16. Which is the closest to -4? (a) -6 (b) 0.3 (c) d a Let w = 0.036 - 1.036. What is the nearest to -0.1 in -3/47, 1, w? -3/47 Let b = -5 - -3. Let p = 1.53 - 1.383. Let f = p + -0.047. What is the closest to f in b, -0.4, 1/6? 1/6 Let x(z) = 3*z**2 - 15*z + 13. Let o be x(3). Which is the nearest to -5? (a) -4 (b) 5 (c) o c Let j = 48 - 53. What is the closest to 11 in -2/3, j, -1/5? -1/5 Let j = 0.04 + -1.24. Let y = 0.87 + 6.93. Let r = y - j. What is the closest to -0.1 in 0.1, r, 2/19? 0.1 Let o = -0.9 - -2.9. Which is the nearest to 2/17? (a) 2/5 (b) o (c) 4 (d) 1 a Let m = -2.5 - -2.8. What is the nearest to m in -5, 0.02, 7? 0.02 Let r = -224 - -228. Which is the nearest to -2/3? (a) 1 (b) r (c) 1/2 (d) -0.3 d Let m = -2489 + 2493. What is the nearest to -2 in 5, -3/5, -2/11, m? -3/5 Suppose 3*r = 2*z - 7, 4*r = 4*z - 12 - 0. Let f = -8 + 3. Which is the closest to r? (a) -4 (b) f (c) 1/2 c Let y(o) = -o**2 - 4*o + 6. Let j be y(-5). Suppose 6*c = 7*c + k - j, -k - 4 = 0. Suppose 196 = 12*f + 172. What is the closest to 0.1 in c, f, 3? f Let t = 235/468 - 1/468. Suppose 0 = -k + 2*b - 3, 5*k - 33 = -5*b + 12. What is the nearest to 2 in k, t, 3? 3 Let j = 6 - -9. Let k be 76/(-70) + 12/j. Which is the closest to k? (a) -4 (b) 0.6 (c) 4 b Let m(l) = -l**2 - 34*l + 155. Let o be m(-38). Which is the closest to -1? (a) o (b) -4 (c) 0.103 (d) 2/9 c Let i = -97 + 97.13. Let q = i - 3.13. What is the closest to -1 in -9, q, -1? -1 Suppose -556 = 4*y - 3*s, -y + 12*s - 139 = 7*s. Which is the closest to 1? (a) -1/3 (b) 0 (c) y b Let o = -134 + 137. Which is the closest to 1/4? (a) -0.1 (b) -6/13 (c) o a Let z = 7 - 10. Let l = -0.035 + -4.665. Let d = 0.7 + l. What is the nearest to -0.2 in 3/2, z, d? 3/2 Suppose 4 = -j - 0. Suppose -x - x = -5*o - 31, 0 = -x + 3. Let p = -6 - o. Which is the nearest to p? (a) -5 (b) j (c) 0 c Let i = 1057.3 + -1057. Let z(x) = -x**3 + x**2 - x - 7. Let r be z(0). Which is the nearest to -1/3? (a) i (b) -4 (c) r a Let u = -1542/7 + 220. What is the closest to -0.01 in 0.5, u, -5? u Let s = -163.46 - -160. Let v = 1.54 - s. Which is the nearest to 7/2? (a) -2/9 (b) v (c) -4 b Let d = 50.03 - 53. Let u = d + -0.03. Let g = -2 - u. What is the nearest to g in 0.3, -1, -3/2? 0.3 Let h be (-1 - -6) + ((-741)/12)/13. Let z = -0.03 + 1.03. Which is the closest to h? (a) 0.3 (b) -0.05 (c) z a Let d = 410.541 - 410. Let o = -0.041 + d. What is the closest to -1 in -0.2, 0.3, o? -0.2 Let x = 1608 - 1611. Let d be (-10)/((-3)/((-3)/2)). What is the nearest to x in -0.4, d, -2? -2 Let h be ((-7 - -3)/(-12))/(2/78). Let f be -4*2*(-4)/(-8). Let j = -2/81 - -176/567. Which is the nearest to 0.1? (a) j (b) f (c) h a Let o be (-1)/(-3)*597/(-398). What is the closest to 4 in o, -2, 2, 2/7? 2 Let u = 0.419 - 0.4. Let w = u - 0.019. Let p be (6 - 0)*9/126. What is the closest to 0.3 in w, -4, p? p Let p = 9 - 45/4. Let v = p + 29/12. Which is the nearest to 2? (a) 1/4 (b) -2/13 (c) v a Let x(v) = -v**3 - 2*v**2 + 5*v + 3. Let l be x(-3). What is the closest to 0 in -4, l, -0.5? -0.5 Let d be (230/(-4))/(-1)*8/15. Let n = -31 + d. Which is the closest to -2? (a) 2 (b) n (c) 3/7 b Let s = -0.11 + -2.89. Let g = s + 12. Let x = g - 11. Which is the nearest to 1? (a) x (b) -0.1 (c) 2/13 c Let y(w) = -w**2 - 2*w - 3. Let m be y(-2). Let i be (9/m)/(3/164). Let s = 1478/9 + i. Which is the closest to -2? (a) 4 (b) -1/3 (c) s b Let u = -1 - -1. Suppose -5*g = 61 + 24. Let z = -15 - g. Which is the closest to u? (a) 0.5 (b) 5 (c) z a Let t = -0.3 - 0. Suppose -3*n = i - n + 10, 2*i = 2*n + 10. Let k = 2055 + -2051. Which is the closest to i? (a) 5 (b) t (c) k b Let s = -0.3 - -0.3. Let z = -232 - -4406/19. What is the closest to s in 0, -0.4, z? 0 Let y = 22.5 + -4. Let d = y - 19.5. Let w = 7 + -12. Which is the nearest to -2/11? (a) w (b) 1/3 (c) d b Let t be (-2)
{ "pile_set_name": "DM Mathematics" }
lue? (a) -13.7 (b) 1 (c) -3/5 c Which is the biggest value? (a) -4 (b) -0.1 (c) 3 (d) 2 c What is the second smallest value in -0.11, -2/15, 1? -0.11 Which is the smallest value? (a) 0.02 (b) -2/3 (c) 1/7 (d) 54/5 (e) -0.4 b Which is the third biggest value? (a) 0.02 (b) -0.9 (c) -1/7 b Which is the fourth biggest value? (a) 4 (b) 0.4 (c) -37 (d) 0 c Which is the third smallest value? (a) 5 (b) 6 (c) 1.7 (d) 1/5 a What is the second biggest value in -5, -2, 0.9, -1? -1 What is the third smallest value in -5.6, 3/5, -1/2? 3/5 What is the second biggest value in -4, 1062, 3/2? 3/2 What is the biggest value in 0.3, 354, 0.1? 354 What is the biggest value in -0.3, 26, 1, 5? 26 Which is the second smallest value? (a) 13 (b) 2 (c) -4 (d) -0.03 (e) -0.1 e What is the smallest value in 106, 0, 0.2? 0 What is the fifth smallest value in -5, -1, -0.4, 0.06, -4? 0.06 Which is the fourth smallest value? (a) 2 (b) -0.05 (c) -0.09 (d) 0 a Which is the third biggest value? (a) -1/4 (b) 3/34 (c) -3/4 c Which is the smallest value? (a) -650 (b) -2 (c) 0.2 (d) -0.5 a Which is the biggest value? (a) 5 (b) 17 (c) 2/9 (d) 4 (e) -2 b What is the second biggest value in -0.2, -0.15, -0.1? -0.15 What is the second smallest value in -32, -3, -4, 1? -4 Which is the second smallest value? (a) 5 (b) -0.1 (c) -5 (d) 3/2 b Which is the third biggest value? (a) 4 (b) 181 (c) -5 (d) -4 d What is the biggest value in -0.4, 182/17, -0.3? 182/17 What is the fifth biggest value in 5, 7/6, 4, 0.2, 29? 0.2 Which is the fourth biggest value? (a) -2/3 (b) -2/11 (c) -8 (d) -2 c What is the third smallest value in 0.22, 3/4, -2/3? 3/4 Which is the second biggest value? (a) 0.05 (b) 6 (c) -45 a Which is the third smallest value? (a) 0.3 (b) 0 (c) 0.5 (d) 121 c Which is the third smallest value? (a) -22/23 (b) 5 (c) 1 b Which is the second smallest value? (a) 3 (b) 48 (c) 6/7 a Which is the second smallest value? (a) 1 (b) -2 (c) -1/23 (d) 3 c What is the third biggest value in 1.3, 0, 2, -2/5? 0 Which is the fourth smallest value? (a) 5 (b) -2.1 (c) -0.1 (d) 47 d Which is the second biggest value? (a) -26 (b) -2/3 (c) 3/5 b What is the smallest value in -6/5, 0.1, 0, 1/4, -3/4? -6/5 Which is the fourth smallest value? (a) 2/11 (b) -2/5 (c) -16 (d) 4 d Which is the second smallest value? (a) -41 (b) -2 (c) -0.1 b Which is the biggest value? (a) 3/11 (b) -1/3 (c) 1/8 a What is the fourth smallest value in 0, 12, 4/3, -0.2? 12 What is the fifth biggest value in 0, -1, -2/21, -0.2, -2? -2 What is the smallest value in 4, 219, 2? 2 Which is the second smallest value? (a) -2 (b) 2/7 (c) -0.08 (d) -4 a What is the second smallest value in -0.19, -0.04, 0, -4? -0.19 What is the second biggest value in -66, -1, 3/5? -1 Which is the second smallest value? (a) 3 (b) -0.5 (c) 0.335 (d) -8 b What is the second biggest value in 0.1, -4, 0? 0 What is the third biggest value in 2, 1/8, 2.3? 1/8 What is the biggest value in 3, 4, 137, 2? 137 Which is the third smallest value? (a) -1/10 (b) 2 (c) -0.22 b Which is the biggest value? (a) 0.3 (b) -5 (c) 2/7 (d) 0 (e) 1.4 e What is the second biggest value in -4433, 5, 1/3, 0.4, -1/8? 0.4 What is the third biggest value in -21, -0.3, 69? -21 Which is the second biggest value? (a) -2/15 (b) 0 (c) 4/5 (d) -4 b Which is the biggest value? (a) 0.4 (b) 0.5 (c) -1.3 (d) 1/3 (e) 1 e What is the biggest value in 2/9, 0.3, -2/7, 0? 0.3 What is the third biggest value in -26, 2/7, 18, -2? -2 What is the fourth biggest value in -5, 2/5, 143, 2, -1? -1 Which is the fourth smallest value? (a) 5 (b) 149 (c) -1/5 (d) -2/5 b Which is the second biggest value? (a) -1/5 (b) 2/9 (c) -1/9 c What is the third smallest value in -0.1, -0.3, -2/7, -56? -2/7 What is the third biggest value in -78, -0.3, -3/2? -78 Which is the smallest value? (a) 0.04 (b) 2 (c) 1 (d) 3 a Which is the fourth smallest value? (a) 2 (b) -0.5 (c) -0.04 (d) 9 d Which is the fourth biggest value? (a) -2/7 (b) -15 (c) -17 (d) 2/7 c Which is the second smallest value? (a) 3 (b) 5 (c) -3 a Which is the biggest value? (a) -16 (b) 0.2 (c) -335 b What is the smallest value in 34, 30/17, -0.2? -0.2 What is the second smallest value in -4, -3/5, -33/26? -33/26 What is the biggest value in 2, -0.2, -1? 2 What is the third biggest value in -0.39, 4/7, -1, -4? -1 Which is the second biggest value? (a) 5 (b) 0 (c) -104 b What is the fourth biggest value in 0.096, -0.2, 0.4, -5? -5 Which is the second smallest value? (a) 0 (b) -1 (c) -3 (d) 4 b Which is the fourth smallest value? (a) 5 (b) 0.4 (c) -2/13 (d) 860 (e) 2 a Which is the second smallest value? (a) -1/6 (b) -5 (c) -12 (d) -2 (e) -1/3 b What is the second biggest value in 6/7, 3, 7, 4? 4 Which is the third smallest value? (a) 2 (b) -4 (c) 1/67 a What is the second biggest value in 4/5, -97/3, 4, -4? 4/5 What is the third biggest value in -21, -2/17, -1, -5, 3/4? -1 Which is the biggest value? (a) -2.1 (b) 7 (c) 4 b What is the third biggest value in 3, -11311, 5/4? -11311 What is the biggest value in -5, -0.083, 1, 2? 2 What is the smallest value in -7, -0.5, -50? -50 Which is the second biggest value? (a) 1 (b) -1.1 (c) 0.5 (d) 5 a What is the second smallest value in 1/29, -0.33, -2, 3/2, 1/9? -0.33 Which is the biggest value? (a) -5 (b) 1.4 (c) 0.4 b What is the smallest value in -147, -2, 0.4? -147 What is the smallest value in -0.2, 2/11, 4? -0.2 Which is the biggest value? (a) 3.6 (b) 2 (c) -9 a Which is the biggest value? (a) 1/14 (b) 10 (c) 0 b What is the fourth smallest value in -0.3, -166, 0.4, -1? 0.4 What is the second biggest value in -5/4, 0.194, -0.04, 1/9, -3/4? 1/9 What is the second biggest value in -8, 1, 5? 1 What is the third biggest value in 2, 6967, -5, -0.4? -0.4 Which is the third biggest value? (a) -0.621 (b) 4 (c) 2 a Which is the smallest value? (a) -3/8 (b) 0.034 (c) -0.3 a What is the smallest value in 56, 2/7, -1/3, 2? -1/3 Which is the third biggest value? (a) 33 (b) -0.4 (c) 9/7 b Which is the smallest value? (a) 1/4 (b) -4 (c) -57 (d) -20 c What is the third biggest value in 12, 3, -5, 4, 0.1? 3 Which is the third biggest value? (a) -2 (b) -0.07 (c) 2/7 a Which is the second biggest value? (a) -1 (b) 2/9 (c) 201 b What is the biggest value in -4, 0.4, 2117, 5? 2117 Which is the fourth biggest value? (a) 55 (b) -2/5 (c) 1.2 (d) 0.4 b What is the second smallest value in -3.8, -3/5, 2/15, 0.4, 0.3? -3/5 What is the second smallest value in -38, 13, 2/11? 2/11 Which is the fourth smallest value? (a) 2/11 (b) -0.2 (c) -2 (d) 19 d Which is the second smallest value? (a) 5 (b) -3 (c) 618.1 a Which is the biggest value? (a) -1/5 (b) 1.61 (c) -6 (d) 3/2 (e) 1/2 b What is the biggest value in -0.06, 0.15, -3/4? 0.15 Which is the biggest value? (a) 7/9 (b) 128 (c) -1/4 b Which is the third biggest value? (a) 1 (b) -1/5 (c) -75 (d) 2 (e) 3/4 e What is the third smallest value in -12936, -0.1, -4? -0.1 What is the fourth biggest value in -2, 0.9, -0.4, 3? -2 Which is the third biggest value? (a) 23 (b) 17 (c) -1/5 c Which is the second biggest value? (a) -3 (b) 1.7 (c) -2 (d) -0.4 (e) 0.2 e Which is the third smallest value? (a) 3 (b) 5 (c) -0.04 b What is the smallest value in 2, -0.005, 2/9, 0.5? -0.005 What is the smallest value in 4, -2, 30? -2 What is the third smallest value in 2/63, -0.04, -4? 2/63 Which is the third biggest value? (a) -5 (b) -3 (c) -0.03 (d) 1.3 (e) 0.1 c Which is the fourth biggest value? (a) -0.04 (b) 5 (c) -4 (d) -2/15 (e) -0.1 d Which is the fourth biggest value? (a) 0.16 (b) 0.5 (c) -2/143 (d) 4 c What is the second smallest value in 2/13, -14, -3? -3 Which is the third smallest value? (a) 0.4 (b) -4 (c) -9.9 (d) -3 d Which is the biggest value? (a) 0.4 (b) -10 (c) -4 (d) -0.4 a What is the third biggest value in -16, 2, 0? -16 Which is the fourth smallest value? (a) -1/5 (b) -10/49 (c) 4/7 (d) -3 c Which is the second smallest value? (a) -3 (b) -0.5 (c) 173 (d) -5/2 d What is the smallest value in -3, -8, 16, 4? -8 What is the smallest value in -2
{ "pile_set_name": "DM Mathematics" }
0.389 + -0.121. Let k = 0.11 + o. Which is the nearest to -2? (a) k (b) -4 (c) n a Let t = 1257 - 1256.85. Which is the nearest to t? (a) 0.3 (b) -3 (c) -0.1 a Let v = -612 + 612.5. Let i = -208 + 2077/10. Let o = 1/2 + i. Which is the nearest to o? (a) v (b) 4 (c) 3 a Let g(j) = -j**2 - 1. Let i be g(-2). Let t(x) = 2*x**3 - 6*x**2 + 3*x - 1. Let v be t(2). Which is the closest to -1? (a) i (b) v (c) 5 b Suppose 8 = 4*v + 3*r, -2*r + 3 = 3*v - 2. What is the nearest to 0 in -1/2, 2/7, v, 0? 0 Let v = -41 - -30. Let s(p) = -2*p - 20. Let u be s(v). Let h = 401/8 + -50. What is the closest to u in h, 3, -2? 3 Let l = 2128 + -2084. What is the nearest to l in -1/6, -0.3, -1/3? -1/6 Let b = -5.7 - -6. Let j = -0.3 + b. Let y = -1 + j. What is the closest to 0 in y, 4, -3/2? y Let r = 19.7 + -43.7. What is the nearest to -1 in -5, 0.4, r? 0.4 Let z = -44 + 11. Let t = z - -33. What is the nearest to t in -1/4, 1, -2/5? -1/4 Suppose -5*k + 67 + 368 = 0. Let l be (k/30)/(8/100). Let p = l - 37. What is the closest to -1 in -0.1, 5, p? p Let l = -47 - -67. Let o = l + -20. Let a = -1 + 0.5. What is the closest to o in -3/4, a, 0.1? 0.1 Let g = -10 - -6. Let y = g + 2. Suppose 3*m + 0*m = -2*m. Which is the closest to m? (a) 0 (b) -4 (c) y a Let m = -0.61 + -4.39. Let c = -182/3 + 60. What is the closest to -1/2 in -2, c, m? c Let n(f) = f**3 + 18*f**2 + 16*f - 16. Let x be n(-17). Let z be 1/x + (-3)/2. Which is the nearest to z? (a) -4 (b) 2 (c) 1/2 c Let k = 49 - 103. Let r = -53.8 - k. Which is the closest to 1? (a) -1/3 (b) 0 (c) r c Let w = 61.2 + -77.2. Which is the nearest to -1? (a) -3 (b) w (c) 3 a Let q = 994 + -994. Let l = 3 + -2.99. Which is the closest to q? (a) 1/4 (b) l (c) -0.4 b Let x(d) = d + 17. Let v be x(-7). Let k be (-8)/v*(3 + 2). Which is the closest to 2/7? (a) 0.2 (b) -0.2 (c) k a Suppose -2*m + l = 11, -m - 13 = 5*l - 35. What is the nearest to 4/9 in 1/5, m, -0.12? 1/5 Let f be 2/4*-8 + 6. What is the nearest to -2 in 0.5, -0.2, f? -0.2 Let r = 0.4 - 0.2. Let g = 0.8 + r. Let o = 0.2346 - 0.0346. Which is the nearest to 1/3? (a) o (b) g (c) 1/4 c Let i = 235.9 + -236. Which is the nearest to -1? (a) -0.081 (b) 2 (c) i (d) 3/2 c Let a = 2.9 - 3. Let z(w) = -w**3 + 44*w**2 + 93*w - 50. Let y be z(46). What is the nearest to 0 in a, y, -5? a Let m(k) = k**3 - 12*k**2 + 19*k - 1. Let y be m(8). Let x be (-12)/y - (-6)/21. What is the nearest to x in -4, 0, 5? 0 Let t = 5.5 - 5. Let b be 26708/(-308) + (-3)/(21/2). Let i = 433/5 + b. What is the nearest to -2 in t, i, -5? i Let r = -12.5 - -17.7. Let t = -9.2 + r. Which is the closest to 2/7? (a) t (b) 3 (c) -0.4 c Let r = -0.35 - -60.35. Let n = 57 - r. Let l(t) = t**2 - 5*t + 5. Let w be l(4). Which is the closest to 0.1? (a) w (b) n (c) 0.2 c Let h = 0.079 + 15.921. Which is the closest to -1/2? (a) 0.3 (b) 0.1 (c) h b Let f = -4.657 + -0.043. Let z = f - -9.7. Which is the closest to -2/5? (a) -2/9 (b) 3 (c) z a Let y = 10 + -22. Let b = -1.67 + -10.63. Let g = y - b. What is the closest to 1 in g, -3, 1? 1 Let y = 151/6 + -49/2. Let m = -6 - 13. Let w = -20 - m. What is the closest to y in 5, -1/5, w? -1/5 Let x = -1.26 - -1.06. Which is the nearest to 5? (a) -3/8 (b) -24 (c) 2 (d) x c Let r = 5.391 + -0.091. Let y = r - 2.7. Let m = -0.4 - y. What is the closest to -1 in 2, m, -0.3? -0.3 Let m = -0.01 - -0.21. Which is the closest to -1.1? (a) m (b) -2 (c) -3/4 c Let j = 2634 + -2634. Which is the nearest to -1/2? (a) -17 (b) j (c) 0.19 b Suppose -33*l = 32 + 1. Which is the nearest to 1? (a) l (b) 3/7 (c) -20 (d) -0.1 b Let u = 9.55 - 0.55. Let l = u - 9. Let x = 0.1 + 0. What is the nearest to x in -0.1, l, -5? l Let v be (3/27)/((-4)/8). Let p = 0.5 - 1.1. Let u = -1 - p. What is the closest to -1/4 in v, u, 0.5? v Let j = -35 - -34.5. Let s = 1 + -1.1. Let q be (4/108)/((-4)/(-24)). Which is the closest to s? (a) j (b) -2 (c) q c Let j = 25.5 + -21.5. Let i = -21 - -18.6. Let s = i - -2. What is the nearest to s in j, 0.3, -4? 0.3 Let y = 5 - 1. Suppose 4*q = -5*f + 21, 2*q + y*f + 1 = 19. Let k = 13.8 + -13.7. Which is the nearest to -1? (a) k (b) q (c) 4 b Let b = -79.8 - -79.8. What is the closest to -1/4 in 0.01, 0.4, 2/7, b? b Let u = -139 - -139. Let j = 37 + -37.1. What is the nearest to 0.2 in 0.2, u, j? 0.2 Let r = 0.17 + 16.83. Let w = 22 - r. Suppose 5*o + 6 + 19 = 0. Which is the nearest to 1? (a) o (b) w (c) 0.5 c Let m = 0.4 + -0.7. Let v = -17.232 + 0.032. Let t = v - -17. Which is the closest to t? (a) -0.2 (b) 5 (c) m a Let a = 111.1 - 111. What is the closest to -0.9 in 6, a, 1/3? a Let t be 1*-2 + 32/20. Let c = -160.6 - -161. What is the nearest to -1 in t, c, -1/4? t Suppose -4*o - 58 = -2*p, 0*o + 94 = 4*p + 3*o. Suppose 3*x - 6 = -3*g + 9, -5*x = -p. Let w be (-3 + 3 + g)/(-2). What is the nearest to w in 5, 3/8, -0.3? -0.3 Let y(s) = -s - 11. Let u be y(-13). Let j = -675 - -677. What is the nearest to u in 1.4, 0.1, j? j Let c = 0.4 + 0. Let p = -0.6 + 0.1. Let b = 0.118 + -0.118. What is the closest to b in 2/13, p, c? 2/13 Let p be (-87)/189 - (20/36)/5. Which is the closest to p? (a) 0.01 (b) -1 (c) 5 b Suppose 340*h = 334*h + 6. Let i be 0*(1 - (2 - 2)). Let q = -5 - i. What is the closest to 2/5 in -2, h, q? h Let n be (-533)/2788 + (-1)/17. What is the nearest to n in -5, -0.01, -2/5, 3/7? -2/5 Let i = -0.288 + 0.288. Which is the nearest to i? (a) -2 (b) 12 (c) 4 a Let k = 0 + 0.1. Let l = -116.34 - 1.66. Let m = -118.2 - l. What is the nearest to k in m, 5, 0.2? 0.2 Let y(t) = t**2 + 15*t + 18. Let l be (-4)/(-3 + 3 + 2/7). Let g be y(l). Which is the closest to 0.1? (a) g (b) 3 (c) 0.3 c Let w = 0.3 - 0.4. Let z = 678/7 + -97. Let j = 0.16 - -3.84. What is the closest to w in j, z, 2? z Let p be (8/44)/(26/22). Which is the nearest to -14? (a) -2 (b) 3 (c) p (d) 2/7 a Let m = -101 + 101. Let q be (1/((-5)/(-20)))/(-2 + 0). Which is the nearest to m? (a) 0.2 (b) q (c) -3 a Let b = 63 - 13. Let u = -49.9 + b. What is the nearest to u in 3, -1, -3? -1 Let x(u) = 2*u - 1. Let h be x(-1). Let z be 14/(-70) - h/(-10). Suppose 16 = 4*n + 24. What is the nearest to 2/7 in n, z, -3/7? -3/7 Let i = 6 + -6.3. Let f = i - -0.8. Let x = 1.25 - 1.25. Which is the nearest to x? (a) 2 (b) -1 (c) f c Let d = -1545/7 - -221. Let a be (2*(-6)/14)/(-2). What is the closest to d in -1/6, 5, a? a Let o = 72.4 + -72.1. What is the nearest to -1/3 in -30, o, 0? 0 Let c = -0.3 + 0.5. Let n = -150 + 149.9. Let d = 5.99 - -0.01. What is the closest to n in c, 0.3, d? c Let c = -31 - -64. Let v = c + -33. What is the closest to -0.8 in -5, -3/4, v? -3/4 Suppose -6*z = -z + 105. Let t be ((-24)/(-15))/(z/(-15) - 1). What is the closest to -1/3 in -0.1, -5, t? -0.1 Let k be (-104)/(-468) - 38/9. What is the closest to 0 in 18/5, 5, k? 18/5 Let w = -239 - -240.01. Let o = w + -0.91. Which is the closest to 1/6? (a) 1 (b) o (c) 1/2 b Let z = 3.08 - 1.12. Let j = 0.04 + z. Which is the closest to j? (a) -1 (b) -0.5 (c) -2/7 c Let k = -14 + 19. Let i be (2 + (-4)/(-4))/((-45)/6). Let f = 1 + -0.7. What is the closest to k in f, i, -2/17? f Let l = -83 + 90. Which is the nearest to 0.3? (a) 0.1 (b) l (c) 2 (d) -1 a Suppose -1 = -4*p + 3*d + 12, 2*d + 4 = -2*p. Let w = 2 - 3. Suppose -4*j = 4*y + 12 - 16, y + 2*j = 4. What is the closest to w in p, 1/5, y? y Let h = -0.0032 + -0.0268. What is the nearest to h in 0.1, 5, -1, 2/5? 0.1 Let f = 7289 - 123949/17. Let d = f + 430/187. Let i(v) = -v**3 + 24*v**2 - 39*v - 106. Let m be i(22). Which is the closest to 0.1? (a) 3 (b) m (c) d c Let b = -318.1 - -318. What is the closest to -3 in -0.2, 0.2, b? -0.2 Let a = -1.4 + 1. Let d = -2.8 + 7. Let s = d + -3.7. What is the closest to -4 in a, -5, s? -5 Let u = 9.6 + -9.8. Which is the nearest to 3/2? (a) -1 (b) -0.06 (c) u b Let b = -5.95 - -4.95. What is the closest to b in -3, 0.2, 5, 10? 0.2 Let c = -13/3 - -1589/366. Let q = c - -91/61. Suppose 2*b - 4 = -0*b. What is the closest to b in 3, q, 2/9? q Let p be 20/50*10/12. Let k(r) = r**2 - 6*r - 15. Let j be k(8). Let c = 7 - 3. What is the nearest to c in j, 0.2, p? j Let g(y) = -2*y**2 - 21*y - 28. Let w
{ "pile_set_name": "DM Mathematics" }
t(6)) + 5. 2*sqrt(3) + 5 Simplify -4*((-5 + 1 + sqrt(2) + sqrt(2) - (sqrt(22)*3)/sqrt(11)) + -1). 4*sqrt(2) + 20 Simplify (-4*(-1 + (sqrt(1700) - (sqrt(1700) - (sqrt(1700)*1 + sqrt(1700))) - sqrt(1700))))**2 + 4. -320*sqrt(17) + 27220 Simplify 4 + (5*(-3 + 4*sqrt(1300) - -3*4*sqrt(1300)))**2. -24000*sqrt(13) + 8320229 Simplify ((sqrt(637) - (sqrt(637) + 2 + 0)) + 2 + (2*sqrt(637) - sqrt(637)))**2. 637 Simplify (3*-4*(sqrt(170) + 1*sqrt(170)))/(sqrt(1210) + 2*sqrt(1210)*1)*-4. 32*sqrt(17)/11 Simplify (-4*(-4 + sqrt(3)*5)*6*3)**2. -207360*sqrt(3) + 471744 Simplify ((sqrt(204) - (3*sqrt(204)*-2 - sqrt(204)))*-2)/((sqrt(96)/(sqrt(2)*-1))/sqrt(4)). 16*sqrt(17) Simplify 2*((-1 + sqrt(5445))**2 + sqrt(5445) - (sqrt(45) + sqrt(45)*3 + 5)**2). -306*sqrt(5) + 9402 Simplify (-6*(sqrt(75) - (-2 + sqrt(75)))*-4*-1*-1)**2. 2304 Simplify (sqrt(8) - (sqrt(64)*6)/sqrt(8) - sqrt(8))/(sqrt(576) + sqrt(16)) + -1. -1 - 3*sqrt(2)/7 Simplify (1 + ((sqrt(245) + (sqrt(245) - (sqrt(245)*-3 - sqrt(245))))*-6 - (2 + (sqrt(245) - (sqrt(245) - (-2 + sqrt(245) + sqrt(245)))) + sqrt(245))))**2. -546*sqrt(5) + 372646 Simplify sqrt(84)/(sqrt(60)/sqrt(5)) + -2 - (sqrt(63)/(sqrt(9)*1 - sqrt(9) - sqrt(9)) + -5). 3 + 2*sqrt(7) Simplify -3 + -5*(-1*sqrt(25)/sqrt(5) + sqrt(5) - (sqrt(245)*1 - sqrt(5)))**2 + -5. -908 Simplify (sqrt(450)/(sqrt(9) + -1*sqrt(9) + sqrt(9)))/(sqrt(10) + -4*sqrt(1440)). -sqrt(5)/47 Simplify 3*((1*sqrt(1584) + sqrt(1584) - sqrt(1584)) + -5). -15 + 36*sqrt(11) Simplify 2 + (3*sqrt(112))**2 + (sqrt(175) + 1 + 1)**2. 20*sqrt(7) + 1189 Simplify 0 + ((sqrt(175) - (5 + sqrt(175) + 0)**2) + 6*sqrt(175)*2)*-5 + -2. -75*sqrt(7) + 998 Simplify -5 + 3 + (-6*1*sqrt(432) + (sqrt(432) - (sqrt(432) + -5 + sqrt(432) + 1)))**2. -672*sqrt(3) + 21182 Simplify 6*(sqrt(256)*1 - -5*(sqrt(4)*1 - sqrt(4)))/(sqrt(12)/(sqrt(24)/(sqrt(12)/sqrt(3) + sqrt(4)))). 24*sqrt(2) Simplify 1 + ((sqrt(384) - sqrt(6))/sqrt(2) - (5 + sqrt(3) + -4 + sqrt(3))). 5*sqrt(3) Simplify (((sqrt(152) + (sqrt(152) - (sqrt(152) - sqrt(152)*-3 - sqrt(152) - sqrt(152))))*-2)/(-3*sqrt(8)*2))**2 + 5. 5 Simplify (-4*(sqrt(108) - 3*sqrt(108) - sqrt(108)) - (-1 + sqrt(108) + sqrt(108) - sqrt(108))*-1)**2. -156*sqrt(3) + 18253 Simplify 3*sqrt(52)*-6 + (0 + sqrt(52))*-1. -38*sqrt(13) Simplify (2 + -3*sqrt(3) + 2*sqrt(75) + sqrt(75))**2 - (sqrt(240)/(sqrt(20) + sqrt(5)) + -1). 140*sqrt(3)/3 + 437 Simplify (-6*sqrt(15)/sqrt(5))**2 + sqrt(147)*-2 - ((0 + sqrt(108))*2 + sqrt(108) + -1 + -3)**2. -880 + 130*sqrt(3) Simplify 3*(sqrt(1088) + 2*sqrt(1088))*-3*4. -864*sqrt(17) Simplify 1 + (-1 + sqrt(44)/(sqrt(4) + sqrt(36)*1 + sqrt(36) + sqrt(4)))**2*6. -3*sqrt(11)/2 + 257/32 Simplify ((sqrt(13) + (2 + sqrt(637) - sqrt(13)) + (sqrt(468) - -1*sqrt(468)) + (-2 + sqrt(1872)*1 + sqrt(1872) - sqrt(1872)))*-3)**2. 112437 Simplify ((4*sqrt(20)*-2)/(sqrt(10) + (sqrt(10) - (3*sqrt(360) + sqrt(360) + sqrt(360)))))**2. 8/49 Simplify (-5*(-2 + 1 + sqrt(1728) + -2)*-4)**2. -57600*sqrt(3) + 694800 Simplify (2*sqrt(130)*-5)/(sqrt(810) - ((sqrt(810) - sqrt(810)*-2) + sqrt(810)) - sqrt(810)). 5*sqrt(13)/18 Simplify (sqrt(280)/(1*sqrt(200)))/(sqrt(175)*2*-3). -sqrt(5)/150 Simplify (2 + -1 + sqrt(243) + -1 + sqrt(243) + 4)**2*-3. -2964 - 432*sqrt(3) Simplify (sqrt(19) - ((sqrt(1216) - (sqrt(1216) + -4*sqrt(1216) + sqrt(1216))) + sqrt(19))) + 4 - (-6*(-1*sqrt(19))**2 + sqrt(19) + 1). -25*sqrt(19) + 117 Simplify (-6*(0 + sqrt(76) + 3) + -2*(0 + -1 + sqrt(19) + sqrt(19) + (sqrt(19)*-2 - sqrt(19)) + 1))**2. 360*sqrt(19) + 2224 Simplify 4 + (-1 + (sqrt(475) + 4*sqrt(475) + sqrt(475))**2)*-4. -68392 Simplify -3*6*(sqrt(11) + sqrt(704) + -1)*4. -648*sqrt(11) + 72 Simplify -1*(-3 + sqrt(2448)) - ((-3*sqrt(85) - sqrt(85))*-4 + sqrt(85) + sqrt(85) + sqrt(85) + sqrt(85))/sqrt(5). -32*sqrt(17) + 3 Simplify (-1 + (sqrt(1377) + 5*(sqrt(1377) + sqrt(1377) + -1) - 4*(sqrt(1377) + -1)) + 1)**2. -126*sqrt(17) + 67474 Simplify ((-1*sqrt(11) + sqrt(11))*-5 - (1 + sqrt(11)*-2))**2 + (3*(sqrt(11) + 0) + sqrt(44)/sqrt(4) + -3)*6. 27 + 20*sqrt(11) Simplify (5 + -2 + sqrt(180) + sqrt(180) - 2*sqrt(180)*4)**2 + -1 + (sqrt(180) - -3*(sqrt(180) + (sqrt(180) - (0 + sqrt(180))))). -192*sqrt(5) + 6488 Simplify (5*(sqrt(15)/sqrt(3) + -5) + sqrt(60)/sqrt(1200))**2. -255*sqrt(5) + 15101/20 Simplify (4*sqrt(5600))/(sqrt(800) - 4*sqrt(800)) + 4. -4*sqrt(7)/3 + 4 Simplify (-4*-2*sqrt(5600) - sqrt(5600))/(-3*(sqrt(128) - -2*sqrt(128))). -35*sqrt(7)/18 Simplify 4*(((sqrt(180) - 6*(sqrt(180) + 0)) + 2 + sqrt(180)*-1)*3 + -1). -432*sqrt(5) + 20 Simplify 0 + ((sqrt(72)/sqrt(108))/(-2*sqrt(192))*1)**2. 1/1152 Simplify (1*(-2*sqrt(55) + sqrt(55)) - sqrt(605)/(sqrt(11)*-2))/(2*sqrt(176) + sqrt(22)/sqrt(2)*-1). -sqrt(5)/14 Simplify -4*(-5*(sqrt(85)*2 - sqrt(85)))/(sqrt(5) - ((sqrt(5) + sqrt(10)/sqrt(2) + sqrt(5) - sqrt(5)) + sqrt(5) - sqrt(5))*-4). 20*sqrt(17)/9 Simplify ((0 + 2*sqrt(891))*6)**2 - 5*(sqrt(891) + sqrt(891) + 1)*4. -360*sqrt(11) + 128284 Simplify 4 + (sqrt(45) + -4 - sqrt(45) - (sqrt(60)/(sqrt(12) + sqrt(108)/sqrt(9)))**2). -5/4 Simplify -5*(1 + -2 + sqrt(5))*3*-5. -75 + 75*sqrt(5) Simplify (sqrt(264)/sqrt(192))/((sqrt(2) - (sqrt(2) + sqrt(32)))*-1) + 0. sqrt(11)/16 Simplify 4 + (sqrt(48) + -1)*-6 + -1. -24*sqrt(3) + 9 Simplify (sqrt(272) + 0 + (sqrt(136)*3)/sqrt(8) + -2)**2 + 4. -28*sqrt(17) + 841 Simplify ((sqrt(84) + (sqrt(84) - (sqrt(84) - (sqrt(84) - (sqrt(84) + (sqrt(84) - (sqrt(84) + sqrt(84)*-2)) - sqrt(84)) - sqrt(84))))*4)*-4)/(sqrt(48)*-5*3). -14*sqrt(7)/15 Simplify (sqrt(468) - (3*(sqrt(468)*-2)**2 - sqrt(468))) + sqrt(468) - (4 + sqrt(468))*-2. -5608 + 30*sqrt(13) Simplify (-2*(sqrt(99) + -4*sqrt(99) + -2 + sqrt(99)) + -3)**2. 24*sqrt(11) + 1585 Simplify -3*sqrt(17)*3 - (sqrt(17) - (0 + sqrt(272) + sqrt(272) + sqrt(272))) - (sqrt(34)/(3*sqrt(2) - sqrt(2)) + ((sqrt(612))**2 + sqrt(17))*3). -1836 - 3*sqrt(17)/2 Simplify (sqrt(12) + ((1*sqrt(132) + sqrt(132) - sqrt(132)) + sqrt(132))/sqrt(11))/sqrt(4) - ((-4 + sqrt(48))**2 + (sqrt(3) + (sqrt(3)*-1)**2 + sqrt(3))*5). -79 + 25*sqrt(3) Simplify (sqrt(171) + 2*sqrt(171)*-3 - (sqrt(171) + ((-1*sqrt(171) - sqrt(171))*5 - sqrt(171))))/(5*sqrt(9)*-1 - sqrt(900)). -sqrt(19)/3 Simplify 3*1*(sqrt(63) - -3*(sqrt(63) + 0)). 36*sqrt(7) Simplify -5 + 4 + (sqrt(136) - sqrt(136)*3*-3 - sqrt(136))/((sqrt(3072) + sqrt(48))/sqrt(6)). -1 + sqrt(17) Simplify (-1*sqrt(648)*6)/((sqrt(4) + (sqrt(16)*1)/sqrt(4))*-6). 9*sqrt(2)/2 Simplify 5 + -3 + ((sqrt(36)/sqrt(3) - sqrt(12))*4)/sqrt(6) + -3. -1 Simplify ((sqrt(12) - sqrt(36)/sqrt(3))*-1 + sqrt(12)*-1*1)/(sqrt(600) + -5*-1*sqrt(600)). -sqrt(2)/60 Simplify ((sqrt(312) - -2*sqrt(312))/sqrt(6))/(5*(sqrt(16) - sqrt(4))) + -3 + 1 + sqrt(325) + -4. -6 + 28*sqrt(13)/5 Simplify -2*(-3*(5 + sqrt(7) + sqrt(35)/sqrt(5) + -3))**2. -576 - 144*sqrt(7) Simplify (sqrt(187) + sqrt(187)*-5*-3 + sqrt(187))/(sqrt(11) - (sqrt(110)/sqrt(10) - sqrt(11))*6). 17*sqrt(17) Simplify -4*((-4*(sqrt(891) + sqrt(891) + 1))**2 + -3) + 2. -228146 - 2304*sqrt(11) Simplify ((sqrt(104) - 5*-1*sqrt(104))/(sqrt(8) - sqrt(1568)/sqrt(4)))**2. 13 Simplify 2*sqrt(3072) - 6*2*(sqrt(3) - (sqrt(3) - (sqrt(3) + -2))**2 - sqrt(3)). 48 + 64*sqrt(3) Simplify ((sqrt(3400) - (sqrt(3400) + (sqrt(3400) - 2*sqrt(3400)))) + sqrt(3400))/((sqrt(50) - sqrt(2))*3). 5*sqrt(17)/3 Simplify ((sqrt(21)*2*2)/(sqrt(30)/sqrt(160)) + 0)**2. 1792 Simplify 2 + (sqrt(12) - (sqrt(192)/sqrt(4) - sqrt(48))/sqrt(4))/sqrt(4) + (sqrt(432)*-1 + 0)**2. sqrt(3) + 434 Simplify -5 + 0 + sqrt(112)*-2 + -2 + sqrt(112) + 0. -4*sqrt(7) - 7 Simplify (-3*(sqrt(77)*-2*5 + sqrt(77)))/((-4*sqrt(70)*-6)/sqrt(10)). 9*sqrt(11)/8 Simplify -3*((-2*sqrt(117) + 1 + (sqrt(117) + 2*sqrt(117) + sqrt(117))*2)*-4)**2. -202224 - 1728*sqrt(13) Simplify 4*(-4*3*(sqrt(176) + 1) + 1*(sqrt(176) + (-1 + sqrt(176))*5))**2. 3264*sqrt(11) + 26500 Simplify (-5*sqrt(156)*-2*-6)/(sqrt(768) - (sqrt(768) + (sqrt(768) - 2*sqrt(768)*2))). -5*sqrt(13)/2 Simplify 2 + 0 + (-4 + -1 + sqrt(170)/((sqrt(90)/sqrt(3))/sqrt(3)))**2. -10*sqrt(17) + 44 Simplify -1 + sqrt(121)/(sqrt(66)/(4*sqrt(6))) + (1*(sqrt(11) - sqrt(55)/sqrt(5)) + 0 + sqrt(11)*-1)**2. 10 + 4*sqrt(11) Simplify sqrt(6)/(sqrt(3) + sqrt(6)/sqrt(2)*3) + ((sqrt(288)*4)**2 - sqrt(288))*4 + sqrt(288). -143*sqrt(2)/4 + 18432 Simplify (-2*(5*(1 + sqrt(16
{ "pile_set_name": "DM Mathematics" }
? 4747191138 What is -67672 - 3840? -71512 What is -1540421.397 - 2? -1540423.397 What is -3.1586 + 195? 191.8414 -533.13218 - 0.4 -533.53218 What is 4425 less than 3680? -745 Calculate -6.89 - 11883. -11889.89 Work out 136612.47 + 13.193. 136625.663 Total of 0.39 and -58763339. -58763338.61 Sum 13271377 and 532. 13271909 -14932605+-1 -14932606 What is the difference between -55107 and 188? 55295 Sum 1.0141 and -254724. -254722.9859 -138944666+2 -138944664 What is 0.1 minus 377583.775? -377583.675 Calculate -156520060 + -4. -156520064 -0.2 - -89983149 89983148.8 Calculate -360 + -16558.1. -16918.1 Add 0.9 and 0.816773. 1.716773 What is -0.085922 + -2.0471? -2.133022 Put together 0.02066103 and 49. 49.02066103 What is 1.11481 less than -136487? -136488.11481 Total of 153381 and -1084. 152297 Calculate -1 - -482.16572. 481.16572 What is -313.243 minus 0.2? -313.443 Calculate -2852670010 + 0.8. -2852670009.2 What is 7.65 minus -694? 701.65 What is 1.28 minus 14825.74? -14824.46 What is the distance between -97.72 and -7985? 7887.28 What is -39091797 plus -162? -39091959 0.381+-19219.6 -19219.219 Sum -0.59 and 809217454. 809217453.41 Add together -700 and 11125. 10425 What is the difference between 2.5518444 and 4? 1.4481556 What is the distance between 3214630933 and -0.06? 3214630933.06 What is 214.1357795 minus -0.12? 214.2557795 -238.4 + 46.34 -192.06 0.3 + -178569120 -178569119.7 What is -805773724 + -0.1? -805773724.1 Sum -28 and 14787.6262. 14759.6262 What is the distance between 1007.0397 and 0.33? 1006.7097 9944.663102 + 5 9949.663102 1203.204 - 3236 -2032.796 What is -2 minus 1768665784? -1768665786 What is -4.9 take away -762844309? 762844304.1 What is the difference between 305 and -0.02609? 305.02609 Work out 0.005 + 0.446466. 0.451466 -22440 - 66807 -89247 Add 0.023 and 135632699.6. 135632699.623 What is -402599 less than -1881? 400718 What is the difference between 22.1290883 and 62? 39.8709117 What is -257 less than -2.644314? 254.355686 Subtract 9 from -2043.55187. -2052.55187 Add together 47328 and -0.0387. 47327.9613 -762 - -0.219692 -761.780308 Total of 61342235397 and 4. 61342235401 4 - 28146348 -28146344 What is 0.084 take away 675214? -675213.916 Calculate -0.157 - -341808. 341807.843 What is -9971.92143 less than -3? 9968.92143 What is -574.845 less than 0.7967? 575.6417 Subtract -0.200453 from -8046. -8045.799547 What is -11871628.22 minus -2? -11871626.22 Subtract -0.0400591 from 1.65. 1.6900591 -37 + 0.0000542 -36.9999458 Calculate 1413 + -0.127252. 1412.872748 Work out -5556 - 9653.861. -15209.861 Add 4010.068989 and 29. 4039.068989 What is -45 + -114259947? -114259992 -8.64 - -11852 11843.36 -52.57958167 - -5 -47.57958167 Subtract 6321 from -6387379. -6393700 What is 1203 take away -3.7383? 1206.7383 Total of -13408562.97 and 60. -13408502.97 What is the distance between -476.7681 and 0.6? 477.3681 What is -161442934 less than 0.0434? 161442934.0434 -244 + 2563387 2563143 -0.226 + 5536507 5536506.774 Calculate 6.94084 - 0.9245. 6.01634 What is -0.33 + 2506781434? 2506781433.67 Calculate -0.7 + 12381257. 12381256.3 Sum 24309102 and -0.06. 24309101.94 What is the distance between -53.58029 and -1666? 1612.41971 Add together 3 and -0.47890977. 2.52109023 What is 0.09445320013 less than -0.17? -0.26445320013 Subtract 770058 from 1273. -768785 What is -3868587 minus -5? -3868582 -21148452 - -2 -21148450 0.17 + -237.5990435 -237.4290435 -7.79059+0.2 -7.59059 What is the difference between 11493006098 and 0.1? 11493006097.9 Calculate -0.071 - -349137. 349136.929 What is 156.2801781 less than 0.31? -155.9701781 Total of -2451 and -235945. -238396 What is -9458728 take away 0.12? -9458728.12 Put together -5 and 1697416281. 1697416276 What is the difference between -803 and 1.2751? 804.2751 -279 + -204.559 -483.559 -73010 - -2345 -70665 -52 - 30.555 -82.555 Subtract 1.6 from -0.033920774. -1.633920774 What is the distance between -17.201 and 6983? 7000.201 What is 49195119 less than 0.01? -49195118.99 2050.933947 - -2 2052.933947 What is -0.2 less than 105094721.9? 105094722.1 What is 74892925 minus -6? 74892931 What is 2153240 minus -31? 2153271 What is 16.8 less than -0.05891? -16.85891 Add -47530 and -0.59. -47530.59 Sum 0.07 and -522993743. -522993742.93 What is 1069.8 less than -0.04627? -1069.84627 Calculate 356.1 + -14.4936. 341.6064 -6.823 - 0.2178 -7.0408 12+-1088.566328 -1076.566328 Calculate -1696134 + -627. -1696761 135919 - 4724.6 131194.4 What is -0.23486986 - 0.5? -0.73486986 -5.366 + 0.070167 -5.295833 What is -1.1818081704 + 0.2? -0.9818081704 Calculate -29.7835 - -0.042. -29.7415 Total of 2.33 and -80349. -80346.67 Add -0.1 and -1426167551. -1426167551.1 Total of -1226 and -120.6. -1346.6 Total of 0 and -464295228. -464295228 Sum -2.9 and 4.01026. 1.11026 What is 314.435 less than 469? 154.565 Put together -0.05 and 0.55124609. 0.50124609 Add together 92.75 and 5.5257. 98.2757 -0.8+-90102 -90102.8 Add together 5.60026289 and -0.2. 5.40026289 Work out 0.5 - 33.3308853. -32.8308853 144337 - -0.4549 144337.4549 What is the distance between 2 and -652493830? 652493832 Add 20.107311 and -5. 15.107311 What is the distance between 0.02 and -89311254? 89311254.02 Add -102.1 and 49040. 48937.9 What is -836 take away 4701? -5537 What is 18 plus 6075107? 6075125 18029.661 - 3 18026.661 What is the difference between 1.4 and 632355? 632353.6 Sum 129606 and -16917. 112689 Add together -315901 and -13716.3. -329617.3 What is 13 minus 165.8672? -152.8672 6147 + 4225 10372 What is -69.846108 take away -1? -68.846108 What is 102 take away -2707361? 2707463 Add together 1 and -4059.6779. -4058.6779 What is 26.4723 + -0.08587? 26.38643 What is 815595 less than 0.0983? -815594.9017 Calculate -144459705 - 0. -144459705 What is 14.814777856 - -0.5? 15.314777856 Calculate 35.3 + 98014271. 98014306.3 Add -0.4 and 5400.972. 5400.572 Put together 22 and 65550865. 65550887 Subtract -1093817646 from 0.4. 1093817646.4 What is -6.03200841 + 3? -3.03200841 Add together -8155 and 6090. -2065 Add together -21182.5 and 263.5. -20919 961919.8+3790 965709.8 Calculate -7 + 6655.674. 6648.674 Subtract 5708 from -4960. -10668 What is -1.31 minus -4684.82419? 4683.51419 Sum -494867 and 0.2801. -494866.7199 Work out 4 + -0.0023713069. 3.9976286931 What is -19.37085 plus -131.23? -150.60085 56+375.26332 431.26332 Subtract 2637.9 from -6.4. -2644.3 1949+-2531 -582 What is -0.4 plus -36.360061? -36.760061 621965 - 56394 565571 Calculate 1580.33 + -17725. -16144.67 Total of 0.06 and -55338853. -55338852.94 What is 0 - 728580237? -728580237 What is -928.846 take away -3.2? -925.646 What is -572 minus -232937? 232365 What is -572.3951285 take away -5? -567.3951285 -0.5 - 2441237841 -2441237841.5 Calculate -0.5 - -0.015269934. -0.484730066 Total of 54.08303 and 123.8. 177.88303 Work out 1 + -355009960. -355009959 What is -2572.2268 less than 1.96? 2574.1868 Calculate -0.5 + -24784253. -24784253.5 Calculate 0.3 + -3255858616. -3255858615.7 Work out 50 - 6615366. -6615316 What is 0.4 take away 16.162437335? -15.762437335 Put together 5 and 198146.1152. 198151.1152 What is 7351942 - -1433? 7353375 What is 0.058 + -26934663? -26934662.942 What is 0.502 less than 23199604? 23199603.498 What is -0.868625 + -48.823? -49.691625 -2176+153116 150940 What is the difference between 2027 and 20764.96? 18737.96 What is 0.1 take away 25257.39? -25257.29 Add together 0.1 and 19220082. 19220082.1 Add together 393664.3 and -6. 393658.3 Add -0.03 and -9045924. -9045924.03 What is 0.082581 minus 34981? -34980.917419 What is 0.8 - -1667.11578? 1667.91578 Total of -9.4 and -590587. -590596.4 Calculate 120056414 - 17. 120056397 251375 + -0.983 251374.017 What is 29614965 - 2? 29614963 Work out -0.5 + 295055510. 295055509.5 What is -8.299743 - -0.09? -8.209743 What is 135913.42 take away -0.3? 135913.72 Work out -16834301 + -17. -16834318 -2+145001678 145001676 What is the distance between -7697.89 and -166? 7531.89 Work out 2.5035076 - 4. -1.4964924 Calculate -8383.52 + -0.1005. -8383.6205 Add together -95776.6 and 794.7. -94981.9 What is -0.155 minus 17100084? -17100084.155 What is -25436.067 take away -99.7? -25336.367 Calculate -10.6 + -113520.539. -113531.139 Add -1377704
{ "pile_set_name": "DM Mathematics" }
10*sqrt(2) + 201 Simplify (-1*sqrt(136)*-4)/sqrt(8). 4*sqrt(17) Simplify sqrt(272) + -3 + (sqrt(34)/sqrt(8))**2 - (-1*sqrt(425) + sqrt(425) - (sqrt(102) - (-1*sqrt(102) + sqrt(102)))/sqrt(6)). 5/4 + 5*sqrt(17) Simplify (sqrt(931) + -1*sqrt(931) - sqrt(931))**2 + -5. 926 Simplify (sqrt(75) - 2*(-1 + sqrt(75))) + sqrt(75) + 0 + -5. -3 Simplify -2*((sqrt(108)/sqrt(3) + sqrt(36))/sqrt(12) - (sqrt(33)/sqrt(44) + sqrt(3))). -sqrt(3) Simplify 6*(1*sqrt(605) - sqrt(5)). 60*sqrt(5) Simplify (sqrt(432)*1)**2*-2 + -1. -865 Simplify (0 + sqrt(125) + sqrt(125))*4 + -5. -5 + 40*sqrt(5) Simplify sqrt(228)/(sqrt(12)*1) + -4. -4 + sqrt(19) Simplify ((sqrt(130) + sqrt(130) + sqrt(130)*4*-5)/sqrt(10))**2. 4212 Simplify -1 + (sqrt(7) - (sqrt(7) + (sqrt(63) - (sqrt(1008) + sqrt(63))))) + sqrt(7). -1 + 13*sqrt(7) Simplify (-1*sqrt(3146))/sqrt(2)*3. -33*sqrt(13) Simplify (sqrt(5) - ((sqrt(405) + (-3*sqrt(405) - sqrt(405)))**2 - sqrt(5))) + -2*(sqrt(5) + 1). -3647 Simplify (-5 + sqrt(833)*1 + sqrt(833) + -5*(sqrt(833) + sqrt(833) + (sqrt(833) - (sqrt(833) - (sqrt(833) - (sqrt(833) + 1))))) + sqrt(833) + sqrt(833))**2. 29988 Simplify (4*sqrt(304))**2 - (sqrt(2299) + (sqrt(2299) + 0 - sqrt(2299)) + sqrt(2299))**2 - ((sqrt(95)/(sqrt(15)/sqrt(3)) - sqrt(19)) + -3). -4329 Simplify -3 + sqrt(325)*-3. -15*sqrt(13) - 3 Simplify sqrt(17)*3 + -1 - (sqrt(17) + 2 + -5). 2 + 2*sqrt(17) Simplify (sqrt(425) + 1)**2*-5. -2130 - 50*sqrt(17) Simplify sqrt(468)*-4 + 1. -24*sqrt(13) + 1 Simplify sqrt(72) + 5*(-1 + sqrt(72)) + 6*(sqrt(6)/sqrt(3) + -5). -35 + 42*sqrt(2) Simplify (5*(sqrt(102) - (sqrt(102) - (sqrt(102) + sqrt(102) + -2*sqrt(102)))) + sqrt(102))/sqrt(6). sqrt(17) Simplify sqrt(153) + -5 + sqrt(17) - (-1 + sqrt(2448)). -8*sqrt(17) - 4 Simplify 5*-1*(-3 + (sqrt(5) + sqrt(5)*-1)**2). 15 Simplify ((sqrt(60)/sqrt(2) + sqrt(30))*2)/((sqrt(486)*-4 - sqrt(486)) + sqrt(6)). -sqrt(5)/11 Simplify sqrt(171) - (-5*sqrt(171)*-2)**2. -17100 + 3*sqrt(19) Simplify ((sqrt(99)*3)/sqrt(9))**2 + sqrt(77)/(sqrt(7) + sqrt(35)/sqrt(5)). sqrt(11)/2 + 99 Simplify ((2*sqrt(104) - sqrt(104))/sqrt(8) + 2)**2. 4*sqrt(13) + 17 Simplify -4 + -4*(sqrt(17) + (-2*sqrt(17))**2). -276 - 4*sqrt(17) Simplify 5*sqrt(12)/sqrt(4) - ((sqrt(12)*-5)/sqrt(4) - sqrt(3))**2. -108 + 5*sqrt(3) Simplify sqrt(2299)*1 - (3*sqrt(190)/sqrt(10))**2. -171 + 11*sqrt(19) Simplify (sqrt(11) + sqrt(44))*6 + sqrt(11) + 4*1*sqrt(11) - ((sqrt(88) - (sqrt(88) + (sqrt(88) - sqrt(88)*-2) + sqrt(88) + sqrt(88)))*-6)/sqrt(8). -7*sqrt(11) Simplify (sqrt(17) - ((sqrt(68) - sqrt(17))**2 + -3)) + 1. -13 + sqrt(17) Simplify -1 + (sqrt(80)*-2)**2 + sqrt(80) + sqrt(80)*-1 + -3. 316 Simplify (2*sqrt(66)*-6 - sqrt(66))/sqrt(6)*2. -26*sqrt(11) Simplify 3*(-3*(sqrt(17)*-2)**2 + -2). -618 Simplify sqrt(19) + -1*sqrt(171) + (sqrt(19) - (sqrt(152)*-1)/sqrt(8)). 0 Simplify -3 + (-1*sqrt(704))**2*-6. -4227 Simplify sqrt(18)/(sqrt(42)/(sqrt(7)*1)). sqrt(3) Simplify -3 + ((sqrt(80) - sqrt(80)*-1)**2 - sqrt(80))*-2. -643 + 8*sqrt(5) Simplify ((4*sqrt(90)/sqrt(3) + sqrt(30))/((sqrt(10) - (-1*sqrt(10) - sqrt(10))*1) + sqrt(10)))**2. 75/16 Simplify sqrt(11) - (sqrt(11) - (-1 + sqrt(1584)))**2 - (1 + sqrt(44)/sqrt(4) + sqrt(11))**2. -1377 + 19*sqrt(11) Simplify (6*(1 + sqrt(7)) - (-3 + -2*sqrt(7))) + -5. 4 + 8*sqrt(7) Simplify -2 + sqrt(99) + -5*sqrt(11)*-2 + sqrt(11). -2 + 14*sqrt(11) Simplify (1*(0 + sqrt(57)/sqrt(3) + sqrt(19)))**2. 76 Simplify (sqrt(135)/sqrt(3)*-5 - sqrt(45))/(sqrt(9) + sqrt(900)*2). -2*sqrt(5)/7 Simplify sqrt(156)/(3*sqrt(12)*2) - (-6*sqrt(26)/sqrt(2) - sqrt(104)/(-2*sqrt(8)))**2. -1573/4 + sqrt(13)/6 Simplify (sqrt(171)*-1*2 - sqrt(171))/sqrt(9). -3*sqrt(19) Simplify (-1 + sqrt(1872))**2 + -2 - sqrt(1872). -36*sqrt(13) + 1871 Simplify -5*sqrt(1300)*2*-2. 200*sqrt(13) Simplify 0 + ((2*(-1 + sqrt(98) + sqrt(98)) + sqrt(98))**2 - sqrt(98)). -147*sqrt(2) + 2454 Simplify -2*sqrt(117) + ((sqrt(91) + (sqrt(91) + -1*sqrt(91) - sqrt(91)) - sqrt(91))/sqrt(7))**2. -6*sqrt(13) + 13 Simplify ((sqrt(1512) - (sqrt(1512)*2 + sqrt(1512) - sqrt(1512)))/(sqrt(60)/(2*sqrt(10))))**2. 1008 Simplify sqrt(832) - ((sqrt(832) + 1)*-2)**2 - (3 + sqrt(832) + 0). -3335 - 64*sqrt(13) Simplify sqrt(51)/(4*sqrt(3)) - (sqrt(17) + (-3*sqrt(68))**2). -612 - 3*sqrt(17)/4 Simplify (-1*sqrt(72) + sqrt(18))*4. -12*sqrt(2) Simplify (sqrt(105)/(sqrt(3) - -2*sqrt(3)))/(sqrt(45)*6). sqrt(7)/54 Simplify (1 + sqrt(363) + -3)**2 - ((sqrt(363) - (sqrt(363) - (sqrt(363) + -1 - sqrt(363))))**2 + sqrt(363))*5. -99*sqrt(3) + 362 Simplify ((sqrt(17) + 0 + 3 - sqrt(17)) + 1)**2. 16 Simplify (1*sqrt(204)*2)/sqrt(12). 2*sqrt(17) Simplify sqrt(11) + sqrt(55)/(sqrt(5)*-2 + sqrt(5)) + (-1 + sqrt(22)/sqrt(2))**2. -2*sqrt(11) + 12 Simplify -5 + -2 + (sqrt(128) + 0 - (-1 + sqrt(162))). -6 - sqrt(2) Simplify (sqrt(85)*3)/sqrt(5) - (2 + sqrt(17) + (sqrt(17) + 2*sqrt(17))**2). -155 + 2*sqrt(17) Simplify (1*(sqrt(153) - sqrt(153)*-1))/sqrt(9) + (sqrt(17) - sqrt(136)/sqrt(72))*-6. -2*sqrt(17) Simplify (-4*sqrt(225))/sqrt(3). -20*sqrt(3) Simplify (sqrt(1100) + 0 + -2)**2. -40*sqrt(11) + 1104 Simplify (sqrt(432)*2 + sqrt(432))/sqrt(9). 12*sqrt(3) Simplify 5*(sqrt(7) - ((sqrt(70)/sqrt(10) + -1 + sqrt(7) - sqrt(7))**2 + sqrt(7))). -40 + 10*sqrt(7) Simplify 0 + sqrt(612) - (-3 + sqrt(17)*-2). 3 + 8*sqrt(17) Simplify sqrt(12)/sqrt(150) - (2 + sqrt(162)). -44*sqrt(2)/5 - 2 Simplify (((sqrt(272) - (sqrt(272) - 1*sqrt(272))) + sqrt(272))*-2 + -3*(sqrt(272)*-1 - sqrt(272)))**2. 1088 Simplify (-3 + -2 + sqrt(1584) + sqrt(1584))**2*4. -960*sqrt(11) + 25444 Simplify (1*(sqrt(121) - (sqrt(121)*-2 - sqrt(121) - sqrt(121))) + sqrt(121))/(sqrt(176)*1). 3*sqrt(11)/2 Simplify sqrt(140)/sqrt(7) - -5*sqrt(125). 27*sqrt(5) Simplify 6*(4 + (sqrt(18) - sqrt(2))). 12*sqrt(2) + 24 Simplify -1 + sqrt(45)/(sqrt(63)/(sqrt(14)/sqrt(2))). -1 + sqrt(5) Simplify (sqrt(1872) - -6*sqrt(1872)*1)**2 - (sqrt(1872) + sqrt(1872)*-3 + -3 + sqrt(1872)). 12*sqrt(13) + 91731 Simplify -4*(sqrt(171) + sqrt(171) + (sqrt(171) - (3 + sqrt(171)*-2)))**2 + -3. -17139 + 360*sqrt(19) Simplify (-3*sqrt(102))/sqrt(6) - (-1*sqrt(17)*-3)**2. -153 - 3*sqrt(17) Simplify 5 + sqrt(19)*2 + -1. 4 + 2*sqrt(19) Simplify (-1*sqrt(3) + 1)**2 + sqrt(3) + -2 + sqrt(3) + -3. -1 Simplify (sqrt(22) + sqrt(88)/(sqrt(16)/sqrt(4)) - sqrt(22))/(sqrt(11) - sqrt(891)*1). -sqrt(2)/8 Simplify (sqrt(57)/sqrt(3)*4)**2 + sqrt(19) + (sqrt(2736)*1 - sqrt(19)). 12*sqrt(19) + 304 Simplify (sqrt(77)/(sqrt(7)*-2) + (sqrt(11) - (5 + sqrt(11) + -2 + sqrt(11))) + -4)**2. 21*sqrt(11) + 295/4 Simplify (sqrt(19) - sqrt(76)/sqrt(4))**2*-4*-5 + (-3*2*sqrt(76))/sqrt(4). -6*sqrt(19) Simplify (-1*-1*sqrt(448))**2 - (sqrt(448) - (2 + sqrt(448) + -1 + sqrt(448)) - sqrt(448))**2. -1345 - 32*sqrt(7) Simplify (sqrt(76) - (sqrt(76) - (0 + sqrt(76) + sqrt(76))))**2 - (-1 + (sqrt(19) - (1 + sqrt(19)))). 306 Simplify ((-5 + sqrt(2299) + 0)*-6)**2. -3960*sqrt(19) + 83664 Simplify ((sqrt(2057) + 4*(0 + sqrt(2057)) - (sqrt(2057) - (0 + 0 + sqrt(2057)))) + -4)**2. -440*sqrt(17) + 51441 Simplify (-3*-3*sqrt(187) + sqrt(187))/sqrt(11). 10*sqrt(17) Simplify (3*1*sqrt(187) - sqrt(187))/(sqrt(55)/(sqrt(15)/sqrt(3))). 2*sqrt(17) Simplify ((-1 + sqrt(50) - sqrt(2)) + 0)**2. -8*sqrt(2) + 33 Simplify -4*(sqrt(128) + sqrt(14)/(sqrt(7)*2 + sqrt(7))). -100*sqrt(2)/3 Simplify (0 + sqrt(17) + sqrt(51)/sqrt(3))*5. 10*sqrt(17) Simplify sqrt(112)*-4 + 1 + sqrt(847) + sqrt(7). -4*sqrt(7) + 1 Simplify -2 + sqrt(44)/(sqrt(48)/((sqrt(12) - sqrt(12)*-1) + sqrt(12))). -2 + 3*sqrt(11) Simplify -6*sqrt(6)/sqrt(3) + (5 + sqrt(18))**2. 24*sqrt(2) + 43 Simplify 1 + (sqrt(550) - sqrt(550)*1 - sqrt(550))/sqrt(11). -5*sqrt(2) + 1 Simplify ((sqrt(504) - (sqrt(504) - (-2*sqrt(504) - sqrt(504)))*3) + sqrt(504))/sqrt(8). -30*sqrt(7) Simplify -4 + (sqrt(17) - -5*sqrt(102)/sqrt(6)). -4 + 6*sqrt(17) Simplify sqrt(68)*1 + -3 + sqrt(17)*2 + sqrt(17) + 4. 1 + 5*sqrt(17) Simplify sqrt(78)/(sqrt(294)*-3). -sqrt(13)/21 Simplify (sqrt(1792) + -1)**2. -32*sqrt(7) + 1793 Simplify 4 + (1*sqrt(1872))**2 + sqrt(13)*2 + 1. 2*sqrt(13) + 1877 Simplify 2 + (sqrt(17)*-1*1 + sqrt(17) + sqrt(17) - (-2*sqrt(17) - sqrt(17))*-4). -11*sqrt(17) + 2 Simplify ((sqrt(55) + sqrt(880))*3)/(6*sqrt(99)). 5*sqrt(5)/6 Simplify (sqrt(19)*-2 + -2)**2*-5. -400 - 40*sqrt(19) Simplify
{ "pile_set_name": "DM Mathematics" }
10 Solve -7352 - 5327 = -367*i - 3137 for i. 26 Solve -64*v - 292 - 130 = 282 for v. -11 Solve 1956 - 53 = -173*q for q. -11 Solve 129*q - 77*q + 52 = 0 for q. -1 Solve 33*v + 9102 - 8739 = 0 for v. -11 Solve s + 8 = -s for s. -4 Solve -33667*c = -33688*c + 42 for c. 2 Solve 66*n - 15*n = 21*n - 750 for n. -25 Solve -55*w + 43*w = 2 + 10 for w. -1 Solve -522 + 96 = -93*k - 49*k for k. 3 Solve 0 = 60*a - 12 - 1261 - 227 for a. 25 Solve 24370*c + 299 = 24383*c for c. 23 Solve 702 = -5*k + 87*k - 43*k for k. 18 Solve -6734*w = -6721*w - 169 for w. 13 Solve 2100 = 142*s - 282*s for s. -15 Solve 7 - 115 = 2*v + 106*v for v. -1 Solve 42*d - 345 = 158*d + 119 for d. -4 Solve -5*l - 3*l - 96 = -8 for l. -11 Solve -130 - 1871 = 87*q for q. -23 Solve 9542 = -743*a - 9033 for a. -25 Solve 1929 = 29*o + 2074 for o. -5 Solve -3*f + 33 - 17 = -f for f. 8 Solve -1506*h - 1260 = -1821*h for h. 4 Solve 7*k + 258 = 226*k + 2667 for k. -11 Solve -79*c + 232*c = 306 for c. 2 Solve -84 = -55*r + 26 for r. 2 Solve 1978*k - 1972*k + 78 = 0 for k. -13 Solve -2*r + r - r + 16 = 0 for r. 8 Solve 27*n - 332 = 217 - 1062 for n. -19 Solve -14*a - 1670 + 1572 = 0 for a. -7 Solve 50*c = 208*c + 2528 for c. -16 Solve -7*x - 19*x = 1979 - 2551 for x. 22 Solve -59*y + 1744 = -110*y - 58*y for y. -16 Solve 7 - 31 = 18*n + 156 for n. -10 Solve 33*k - 26 = 10 - 3 for k. 1 Solve -7*m + 11*m = -5*m + 126 for m. 14 Solve 6*n = 26 + 33 - 17 for n. 7 Solve 0 = 330*n + 349 + 311 for n. -2 Solve 0 = 6*x - 0*x + 22*x + 336 for x. -12 Solve -885*p - 13934 = 8191 for p. -25 Solve -121 = -137*s - 1182 - 35 for s. -8 Solve -i + 1326 = -3*i + 104*i for i. 13 Solve -1387*h + 1450*h = 819 for h. 13 Solve -69*b + 40 + 668 = -128*b for b. -12 Solve 4837 + 24515 = -1274*g - 6320 for g. -28 Solve -451 - 377 = -69*f for f. 12 Solve -683*d + 186 = -699*d - 38 for d. -14 Solve 0 = -33*o - 1587 + 1290 for o. -9 Solve 2987 = -41772*r + 41669*r for r. -29 Solve -293 + 953 = 60*k for k. 11 Solve -41*h + 161*h + 44*h + 3116 = 0 for h. -19 Solve -210 = -178*v + 208*v for v. -7 Solve -65*c + 69161 = 67666 for c. 23 Solve 0 = 3*q - 21187 + 21148 for q. 13 Solve 3510 = 657*k - 4374 for k. 12 Solve 47*g = -1182 + 242 for g. -20 Solve -147*v = -270*v + 123 for v. 1 Solve 15*n + 8215 = 7900 for n. -21 Solve 0 = v + 929 - 943 for v. 14 Solve -2148 + 2652 = -24*d for d. -21 Solve -359*h + 6646 = -67*h - 2990 for h. 33 Solve -15*k - 6 + 14 = -52 for k. 4 Solve -185*m + 987*m = 29674 for m. 37 Solve -7*o + 39 + 33 = 44 for o. 4 Solve 59*j - 13190 = -13131 for j. 1 Solve 10588 - 10534 = 27*t for t. 2 Solve 188 = -83*u + 130*u for u. 4 Solve -63 = -247*t + 184 for t. 1 Solve -63 = 1609*b - 1630*b for b. 3 Solve 90*f - 2081 = 454 - 735 for f. 20 Solve 46*r = 5*r - 43*r + 84 for r. 1 Solve -76*k + 260 = 944 for k. -9 Solve 167037*l = 167038*l - 13 for l. 13 Solve -27*j - 18 + 8 - 260 = 0 for j. -10 Solve 175*g = -79*g - 1524 for g. -6 Solve 0 = -2*q - 2455 + 2419 for q. -18 Solve 58*t + 46 + 319 = -969 for t. -23 Solve 72 = 7*c + 121 for c. -7 Solve 38*j + 50*j - 500 = 138*j for j. -10 Solve 82*n + 22*n - 463*n + 5385 = 0 for n. 15 Solve -49*u = -12*u + 111 for u. -3 Solve -3988*k + 4001*k - 195 = 0 for k. 15 Solve 548 = -40*d + 5*d - 152 for d. -20 Solve 0 = -696*r - 284*r + 11760 for r. 12 Solve -149*w - 382 = 661 for w. -7 Solve 583*d = 570*d for d. 0 Solve -395 - 553 - 807 = -65*j for j. 27 Solve -8*i - 10*i = -70 - 110 for i. 10 Solve -62*v - 38*v - 920 = -8*v for v. -10 Solve 40 = -14*a - 10*a - 80 for a. -5 Solve 197*d + 426*d = 171*d + 1356 for d. 3 Solve 195*n = -2034 - 696 for n. -14 Solve 173*s + 153*s = -3912 for s. -12 Solve 67*u - 737 = 304*u + 2344 for u. -13 Solve 159*v - 723*v + 4795 = 283 for v. 8 Solve -403*y - 1107*y = -87*y - 15653 for y. 11 Solve 204*t - 1378 = 4742 for t. 30 Solve 1224 + 324 = 162*c - 334*c for c. -9 Solve -819*t - 21009 = -534 for t. -25 Solve -50*f = -30*f + 100 for f. -5 Solve 4 = 168*n + 43 + 1137 for n. -7 Solve 0 = -2*w + w + 33*w - 192 for w. 6 Solve -529 = 898*x + 369 for x. -1 Solve 0 = -178*m + 48*m - 130 for m. -1 Solve -44*o + 1245 = 585 for o. 15 Solve 0 = -145*i + 123*i + 66 for i. 3 Solve -50*q + 7 = -98*q + 49*q for q. 7 Solve 0 = 74*h - 94*h - 140 for h. -7 Solve -1133*k + 2079 + 12650 = 0 for k. 13 Solve -105*p - 17 = -88*p for p. -1 Solve 2238 = -55*r + 1358 for r. -16 Solve 22*r + 133*r = -2325 for r. -15 Solve -38*w + 151669 - 152011 = 0 for w. -9 Solve -297*t + 316*t = -171 for t. -9 Solve 297 = 707*i - 112*i - 298 for i. 1 Solve -39*z - 53*z = 0 for z. 0 Solve 31*n + 638 = -12*n - 15*n for n. -11 Solve 96*k + 13*k - 504 = 46*k for k. 8 Solve 34*p - 154*p = 1560 for p. -13 Solve 34*y + 2085 = -62*y - 43*y for y. -15 Solve -1674 = 293*x + 1256 for x. -10 Solve 207*x = 60 - 1320 - 1224 for x. -12 Solve -989 = 111*i + 1564 for i. -23 Solve -23*y - 30*y = -318 for y. 6 Solve -482*t = -1720 - 3582 for t. 11 Solve 21*s + 1135 - 1261 = 0 for s. 6 Solve -37*c + 757 - 130 = -520 for c. 31 Solve -38*p - 31*p - 7056 = -6780 for p. -4 Solve 5751*l - 5583*l = -4153 - 383 for l. -27 Solve 861 = 128*t - 23*t + 18*t for t. 7 Solve 2949*x - 2734*x = 0 for x. 0 Solve -23*o + 15 = -50*o + 474 for o. 17 Solve -1575 + 1177 = -136*g + 1370 for g. 13 Solve -297*l = 219*l - 180*l + 10080 for l. -30 Solve -71 + 134 = -22*t - 179 for t. -11 Solve -15*k - 63 = 4 + 8 for k. -5 Solve 0 = -11*b + 54 - 74 + 141 for b. 11 Solve -128*x = 27*x - 1395 for x. 9 Solve -42*b + 272 = -2*b + 28*b for b. 4 Solve 6*p - 32 + 74 = 0 for p. -7 Solve -142*g = -118 - 1586 for g. 12 Solve -16*s + 25*s = 12*s - 93 for s. 31 Solve 48*x + 121*x - 171*x = 66 for x. -33 Solve -298*t + 164*t - 4752 = 298*t for t. -11 Solve 39 - 20 = 394*x + 19 for x. 0 Solve 0 = 154*p - 11*p - 1486 + 342 for p. 8 Solve -47*t + 60*t - 476 = 41*t for t. -17 Solve 9*z + 16*z + 0 + 0 = 0 for z. 0 Solve -408 + 259 - 651 = 50*j for j. -16 Solve -85*j = -322*j - 98*j + 3015 for j. 9 Solve 33*o + 45*o = 88*o + 70 for o. -7 Solve -16*u + 125 - 12 = -31 for u. 9 Solve -20 - 110 - 93 = 223*p for p. -1 Solve 0 = -6*r + 8767 - 8695 for r. 12 Solve -35*t - 4720 = -4825 for t. 3 Solve 97*c = 32*c + 520 for c. 8 Solve 1000*a + 15594 = -0*a - 13406 for a. -29 Solve -664*p = 5468 + 8476 for p. -21 Solve 201*d - 119*d + 1148 = 0 for d. -14 Solve -158*j - 1123 = 356 - 373 for j. -7 Solve 1237 = -76*a - 40 + 213 for a. -14 Solve -86*w - 391 = 70*w - 2731 for w. 15 Solve 100 = -5*p + 45 for p. -11 Solve -271*z - 1858 - 1665 = 0 for z. -13 Solve -748*v - 179*v - 3120 - 5223 = 0 for v. -9 Solve 4*q = -4*q + q + 98 for q. 14 Solve 109*r = -248 + 2357 + 507 for r. 24 Solve 0 = 365*m + 9 - 9 for m. 0 Solve 727*i = 1061 + 8390 for i. 13 Solve -2016 = -443*p + 275*p for p. 12 Solve 0 = -32*w - 99 - 70 - 87 for w. -8 Solve -11*k + 26*k = 35*k + 41*k for k. 0 Solve -244*x = -107 + 4987 for x. -20 Solve -45*k + 69*k = 36*k + 24 for k. -2 Solve 1202*b - 7946 = 23306 for b. 26 Solve 3370 + 9355 = 509*o for o. 25 Solve -85*w - 193 = -707 - 166 for w. 8 Solve 17667 - 17107 = 28*t for t. 20 Solve 1875 = -1566*g + 1691*g for g. 15 Solve 1505 = -21*v + 64*v for v. 35 Solve -40*h + 612 = 52*h - 492 for h. 12 Solve 1030 = -3*s + s + 998 for s. -16 Solve -86*q + 1296 = -40*q + 35*q for q. 16 Solve -211*h - 5010 = -44*h for h. -30 Solve -830 - 20 = 85*b for b. -10 Solve 500*q - 1683 = 4475 + 342 for q. 13 Solve 0 = 110*f - 55*f - 12*f + 344 for f. -8 Solve 127*l - 64 = 106*l + 104 for l. 8 Solve 123*j - 644 = 365 - 148 for j. 7 Solve -55*i + 99*i + 421*i - 465 = 0 for i. 1 Solve 31*c + 46*c - 1804 = -5*c for c. 22 Solve -550*a + 1175 - 9975 = 0 for a. -16 Solve -85*h - 233 + 358 = -895 for h. 12 Solve -10*y = -34*y - 168 - 168 for y. -14 Solve 123*t + 72*t - 8804 + 3149 = 0 for t. 29 Solve 0 = 15*w + 82 - 66 + 284 for w. -20 Solve 7*o + 3*o - 45 = o for o. 5 Solve 78 = -75*w - 1497 for w. -21 Solve 1070*z - 1075*z - 65 = 0 for z. -13 Solve 111*m - 58*m - 77*m = -288 for m. 12 Solve 298*y = 318*y + 240 for y. -12 Solve -226*l + 3750 = -128*l + 277*l for l. 10 Solve 7*l = 611 - 234 - 237 for l. 20 Solve -63*n + 9*n - 27*n - 486 = 0 for n. -6 Solve -43035*a = -42995*a + 480 for a. -12 Solve -7*x = -290*x + 1132 for x. 4 Solve -15731 = 112*n - 14163 for n. -14 Solve 6*s
{ "pile_set_name": "DM Mathematics" }
5*b - 22*b - h*b - 17. List the prime factors of v(-6). 61 Suppose 3*y = j + 5 - 7, -j + 4*y = 0. Suppose 7*m - j*m = -534. What are the prime factors of m? 2, 3, 89 Suppose -5*c - 19 = -2*t + 5*t, 5*t + 9 = 3*c. Let l be c/8 - (-539)/44. Suppose 3*w + 918 = l*w. What are the prime factors of w? 2, 3, 17 Suppose 19*y + 0*y - 38 = 0. Suppose -4974 = -2*p - 3*p + y*w, 0 = -p + 4*w + 984. What are the prime factors of p? 2, 3, 83 Let j = 188 - 186. Suppose 0 = j*m - 3*b - 2*b - 488, m + b - 258 = 0. What are the prime factors of m? 2, 127 Let i = 1315 + -150. Suppose 0 = 5*s + 3*k - i + 382, 2*s = k + 322. Suppose 7*m - 3*m - 658 = n, m - 3*n - s = 0. List the prime factors of m. 3, 5, 11 Let s be ((-8)/3)/((-12)/36). Let b(k) = -k**3 + 18*k**2 - 14*k - 9. List the prime factors of b(s). 3, 173 Let k(t) be the first derivative of 37*t**2 - 64*t - 25. List the prime factors of k(6). 2, 5, 19 Let v(k) = 10*k + 3371. List the prime factors of v(-118). 7, 313 Let g(b) = -b**3 - 5*b**2 + 2*b + 2. Let u be g(-5). Let t be (-15280)/(-170) + 30/255. What are the prime factors of t/20 - -2*2/u? 2 Suppose 4144 = s + s. Suppose 7*z + s = -7*z. Let v = z + 274. What are the prime factors of v? 2, 3, 7 Let p(v) = 11*v**2 - 35*v - 3. Let a(x) = 5*x**2 - 17*x - 2. Let q(w) = -13*a(w) + 6*p(w). Let t be q(-12). Let y = t + 13. What are the prime factors of y? 3, 11 Let l = -4739 - -5260. List the prime factors of l. 521 Let f(l) = l + 49. Let y be f(-12). Suppose y + 1147 = -8*x. Let j = x + 324. List the prime factors of j. 2, 11 Suppose 0 = -z + j - 2, -2*z - j + 4*j + 1 = 0. Let c be -137*z/(7/3). Let o = c - 275. List the prime factors of o. 2, 17 Let t(u) = -u**3 + 16*u**2 - 68*u - 2. Let h be t(11). List the prime factors of 358 - (6/(-5))/(58/h). 5, 71 Let q(u) = -9*u + 14. Let d be q(-6). Suppose -7*p + 4*o = -4*p - d, 3*p - 5*o = 70. List the prime factors of ((8/p)/(-2))/((-2)/1930). 193 Let o = -3997 + 17956. What are the prime factors of o? 3, 11, 47 Let a = -34979 - -56737. What are the prime factors of a? 2, 11, 23, 43 Suppose -5782 = -11*q + 2160. Suppose 2*u + 18 = q. What are the prime factors of u? 2, 11 Suppose -11 + 23 = -4*x. Let s be 1/x - ((-21)/9 - 1). Suppose 3*m - 862 = -m + 3*w, -s*w = -2*m + 434. List the prime factors of m. 2, 107 Let u(p) be the second derivative of 2*p**3 + 8*p + 9/2*p**2 + 0. What are the prime factors of u(7)? 3, 31 Let g = 9153 + -5196. What are the prime factors of g? 3, 1319 Let o be 2/(-6) - (-48)/(-18). Let s(k) = 93*k**2 - 4*k + 5. List the prime factors of s(o). 2, 7, 61 Let i = -27 + -2. Let p(s) = s**3 + 30*s**2 + 20*s + 48. List the prime factors of p(i). 3, 103 Let d = -571 + 263. Let o = 121 - d. List the prime factors of o. 3, 11, 13 Let x = 660 + -655. Suppose 1 = -n, -17*n + 886 = x*w - 18*n. What are the prime factors of w? 3, 59 Let f = 227 + -213. Suppose -f*k + 4067 = -3927. List the prime factors of k. 571 Suppose -3*j - 24 = 8*s - 11*s, s = -3*j - 4. Suppose 1093 = 4*y + 11*d - 16*d, 2*y + s*d - 569 = 0. What are the prime factors of y? 277 Let c(r) = 4*r - 9. Let p be c(3). Suppose -p*s - 3*s + 54 = 0. Suppose 0 = -i + s*i - 568. List the prime factors of i. 71 Suppose -g - 3*p = 8, -5*p - 6 = -12*g + 10*g. List the prime factors of ((-2)/(-9) - (-4240)/36) + g. 2, 29 Let c = 152 + -131. List the prime factors of (8 - 5992/c)*(-6)/4. 2, 13 Let u(m) = -2*m**3 + m**2 + 3*m + 2. Let k be u(-1). Suppose 7*v = k + 26. List the prime factors of -1*(v + 2 + -117). 3, 37 Let v(n) be the third derivative of 0 + 5/24*n**6 - 1/24*n**4 + 11*n**2 + 0*n**3 + 0*n + 0*n**5. List the prime factors of v(1). 2, 3 Let t(q) = 4*q**2 - 4*q - 25. Let a be t(-5). Let p = -305 - a. List the prime factors of p/(-15)*-3*(-4)/10. 2 Suppose -18*x + 9*x + 24137 + 96139 = 0. List the prime factors of x. 2, 13, 257 Suppose 2928*x - 5*y = 2930*x - 17608, -3*y + 35244 = 4*x. List the prime factors of x. 2, 3, 13, 113 Let d(w) = -1872*w - 44. List the prime factors of d(-1). 2, 457 Suppose -6*s = -9*s + 15. Suppose -2*a - 38 = -2*i - 476, s*a - 1077 = -4*i. Let c = a - 130. What are the prime factors of c? 3, 29 Let x(z) be the first derivative of 2*z**4 + z**3 - 5*z**2/2 - 3*z - 12. Let o be x(-3). Let g = o + 298. List the prime factors of g. 11 Let k(h) = 162*h**2 + 48*h - 45. Let a be k(1). Let d be (-137)/(-3)*(0 - -18). Suppose -d = -7*j + a. What are the prime factors of j? 3, 47 Suppose 4*r - 23 = -31. List the prime factors of 1 + (4 - -169) - (1 - r). 3, 19 Let r be 22/(-99) + 3728/9. Suppose 0 = 18*f - 24*f + r. Suppose f - 11 = 2*m. List the prime factors of m. 29 Suppose -8 = -2*n - 0*t - t, 14 = 5*n + t. Suppose -3*p - 3*o = -12, -3*o + 4 = -2*p - n*o. Suppose p = 5*i + 2*i - 735. List the prime factors of i. 3, 5, 7 Let l be 1/((-3)/3084*4). Let h = l - -708. What are the prime factors of h? 11, 41 Let w = 11025 + 6536. List the prime factors of w. 17, 1033 Let q(f) = 33*f**2 + 54*f + 58. Let w be q(-17). Suppose 0 = 5*m + 3372 - w. What are the prime factors of m? 1061 Suppose -4*x = 4*b - 14828, -x = 4*b + b - 3687. Suppose -x = 46*m - 50*m. What are the prime factors of m? 2, 29 Let s(q) = -3*q - 17. Let t be s(-14). Let h = t - -54. Let r = 158 - h. List the prime factors of r. 79 Let k(r) = 6856*r - 57. List the prime factors of k(1). 13, 523 Suppose 0 = 2*j + m - 1773, 12*m - 2662 = -3*j + 11*m. Suppose -3*p = -5*v - j, 4*p + 3*v - 666 - 500 = 0. List the prime factors of p. 293 Let g(t) = t + 2. Let i be g(-2). Suppose -o + 2*y = y + 61, i = -2*o + y - 124. Let d = o - -81. What are the prime factors of d? 2, 3 Let n(v) = -18*v - 28. Let j be n(-7). Let s = 185 + j. What are the prime factors of s? 283 Suppose 2*x - 4*r - 972 = -0*r, 2*x - 1008 = -2*r. List the prime factors of x. 2, 3, 83 Let v(a) = -5*a + 174. Let i be v(28). Suppose 0 = i*s - 5*s - 1943. What are the prime factors of s? 67 Let p(y) = -95*y - 2329. List the prime factors of p(-30). 521 Let j = 478 + -476. Suppose 29*u = x + 26*u - 1675, 3350 = j*x + u. List the prime factors of x. 5, 67 Suppose 4*j - 16 = -4*s, 0*s + 5*j - 8 = s. Let u(k) = -1 + 0 + 2*k**s + 9*k - 1. List the prime factors of u(-7). 3, 11 Suppose -3*j - 3*j = -4590. What are the prime factors of j? 3, 5, 17 Let c = 12555 - -2619. List the prime factors of c. 2, 3, 281 Let s(n) = n - 2. Let y be s(9). Suppose 3 + 4 = y*i. What are the prime factors of (1/(i/(-4)) - -4) + 175? 5, 7 Let u be 439/(-3) + 6/(-9). Let c = 5873 - 6101. Let j = u - c. List the prime factors of j. 3 Let u be ((-4)/6)/(-3 - (-804)/270). Suppose 0*y + u = -6*y. Let r(k) = -17*k + 8. What are the prime factors of r(y)? 3, 31 Let d(u) = 194*u**3 + 3*u**2 + 24*u - 135. List the prime factors of d(6). 3, 7, 23, 29 What are the prime factors of 134963/17 + 65/(-13)? 2, 3967 Let d be ((-404)/6)/(8/12). Let r = d + 153. Let k = 100 - r. List the prime factors of k. 2, 3 Let l(s) = -4*s + 24. Suppose 5*f + 3 - 1 = -4*a, -2*f - a + 1 = 0. Suppose d - 7 = f*d. What are the prime factors of l(d)? 2, 13 Let c(l) be the second derivative of 0 + 7/12*l**4 - 4*l - 1/20*l**5 - l**2 + 5/3*l**3. List the prime factors of c(7). 2, 17 Let r(c) = -c + 6. Let m be (-14)/21 - 6/((-18)/(-55)). List the prime factors of r(m). 5 Let i(g) = 103*g - 255. Let f be ((-9)/12 - -1)/(1/76). List the prime factors of i(f). 2, 23, 37 Let b(r) = -438*r**3 - 4*r**2 - 39*r - 3. List the prime factors of b(-3). 2, 3, 31 Suppose -3*x = 4*v - 27942, -9*v = 226*x - 227*x - 62916. List the prime factors of v. 2, 3, 5, 233 Let s = -57997 - -87407. List the prime factors of s. 2, 5, 17, 173 List the prime factors of (-40 - 325)*(1/(-3))/((-19)/(-8493)). 5, 73, 149 Let j = -6 - -32. Let c = 33 - j. What are the prime factors of ((-2)/c - 52/14)/(-2)? 2 List the prime factors of ((-68)/(-20) + -6)/((-5)/21775). 13, 67 Suppose -1099 = -3*i - 4*b + 14662, 2*b + 26277 = 5*i. What are the prime factors of i? 5, 1051 Let b(n) = -3*n**3 - 44*n**2 - 45*n + 250. What are the prime factors of b(-28)? 2, 5, 19, 173 Let i(y) = 97*y**3 - y**2 - 17*y + 140. List the prime factors of i(6). 2, 10477 Let u(k) = 32*k**2 + 72*k + 847. What are the prime factors of u(38)? 3, 7, 2371 Let y = -17093 + 40450. What are the prime factors of y? 23357 Let c(v) = 7
{ "pile_set_name": "DM Mathematics" }
= 68*s**2 + 2*s - 1. Let h be l(1). Suppose k + 1033 = 2*j, -j + k + 585 = h. Is j prime? False Suppose -4*w + 8 = 3*m - 2*w, m + 2*w - 8 = 0. Suppose 5*k + 5*d + 15 = m, -5*d - 23 = -8. Suppose -2*y + 428 - 174 = k. Is y a prime number? True Let v be 0 - 0 - (-1 + -1). Suppose -2*a = -v*y + 698, -2*y + 0*y + 5*a = -686. Is y a prime number? True Let u(f) = -962*f + 25. Let s = -38 + 33. Is u(s) prime? False Suppose 18*k = 16652 + 44278. Is ((-13)/(-3) - (-4)/(-12)) + k composite? False Suppose 19 = 4*g + 7. Let i be (g/12)/(1/8). Suppose i*a + 12 = -2*a, 4*o + 2*a = 206. Is o prime? True Let v = 3517 - -15774. Is v composite? True Let s be 12/(16/(-78) + 4/18). Suppose s = 3*h - 831. Is h composite? True Let o(x) = 821*x**2 + 14*x - 38. Is o(3) a prime number? True Let l = -10569 - -17588. Is l a prime number? True Suppose 5*n + 265 - 1140 = 0. Let a(h) = 7*h**2 + h. Let r be a(6). Let c = r - n. Is c prime? True Suppose 0 = 2*k - 0*k - 4. Suppose 56 = -k*b + b. Let n = b - -102. Is n a prime number? False Let w(x) = x**3 + 11*x**2 + x + 3. Let f be w(-8). Is 33077/f + 2/17 composite? True Let u(x) be the third derivative of -x**7/5040 + 5*x**6/144 + x**5/60 + 6*x**2. Let s(f) be the third derivative of u(f). Is s(0) a prime number? False Let h(u) = -12*u**3 - 17*u**2 - 15*u + 29. Is h(-6) a composite number? False Suppose -15 - 18 = -4*a + 5*n, -5*n = 4*a - 23. Let t(g) be the second derivative of g**5/20 - 5*g**4/12 - g**3 + 9*g**2/2 + g. Is t(a) prime? False Let r = 4 + 17. Let p be 6/r + 21240/42. Suppose 5*b = 3*b + p. Is b a prime number? False Suppose 5*h - 762 = -h. Is h a prime number? True Let i = 4430 + -2383. Is i composite? True Let y = -5636 - -34137. Is y prime? False Suppose 4*k - 116933 = 3*q - 6*q, 194895 = 5*q + 5*k. Is q prime? False Let s(k) = 4*k**2 - 6*k + 3. Let a be (-1 + 1)*2/4. Suppose a = u + 3*y - 21, -2*y - 3*y + 55 = 5*u. Is s(u) composite? True Let q = 763 - 332. Is q prime? True Suppose 2*r - g = -3*r + 8395, 4*r = g + 6717. Suppose -837 - r = -5*b. Is b prime? True Suppose 0 = 16*i - 4943 - 5153. Is i a prime number? True Let t(y) = -y**2 + 7*y + 9. Let h be t(8). Let a(f) = 993*f**2 + 9*f - 9. Is a(h) composite? True Suppose -71 = -4*t + 1. Let g be t/(-12) + 34/4. Is (1 - (-3 + g)) + 1154 a composite number? False Suppose -51*u + 197932 = -23*u. Is u a prime number? True Let p(g) = -3*g**3 + 15*g**2 - 17*g + 21. Let i(u) = -u**3 + 5*u**2 - 6*u + 7. Let l(q) = 17*i(q) - 6*p(q). Let t be l(6). Let b = -10 + t. Is b prime? True Let w be -2 - (8/2 - 5). Is 1365 + (w - 9/3) a prime number? True Let f = -20817 - -34260. Is f a prime number? False Let g be ((1 - 7) + -1)*3. Let u = 48 - g. Is u prime? False Is 1026/36*554*2/6 a prime number? False Suppose -21 = -5*s - 76. Let j be (-2)/1 + 0 + s. Let t = -6 - j. Is t prime? True Let x(y) = -y**3 + y**2 + 2*y - 1. Let g be x(-3). Suppose 0*j - 3*j + 78 = 0. Let l = j + g. Is l a prime number? False Suppose 6*r - 3 - 27 = 0. Suppose 650 = 5*q - 3*i, 2*q - r*i - 29 - 250 = 0. Is q prime? True Let v be (-85)/(-51) + (-1)/(-3). Is 675/v + (-44)/8 + 5 prime? True Let r(p) = -134*p + 7. Suppose 15*t - 17*t - 6 = 0. Is r(t) a composite number? False Let l(f) = -3*f + 13. Let d(p) = p. Let q(i) = -4*d(i) - l(i). Let g be q(-10). Is -263*-1*g/(-3) a prime number? True Let s = -64405 + 114666. Is s prime? True Let y = -23188 - -41975. Is y prime? True Let f = -4615 - -8558. Is f prime? True Let o = -1098 - -1944. Suppose 5*y = 11*y - o. Is y a prime number? False Suppose r = 5*u + 1 - 2, 5*r = 5*u - 45. Let n(c) = -c - 6. Let f be n(r). Is -3 + -2 + f + 79 composite? False Suppose 6*j + 29323 = 10*j + 3*x, -29313 = -4*j - x. Is j prime? False Suppose -q = 5*j, -j - 21 = -0*j - 4*q. Is j/((6/3297)/(-2)) composite? True Suppose -3*h + 170 + 79 = 0. Let n(j) = -j**3 - 10*j - 8. Let v be n(-4). Let p = v + h. Is p a prime number? True Is 125864/6 - (-2)/(-6) prime? False Let n(i) = -4*i**3 + 4*i**2 + i - 2. Let u(o) = o**3 + 6*o**2 - 6*o + 3. Let r = 3 + -10. Let h be u(r). Is n(h) a composite number? True Suppose -8*l = -7*l - 79. Suppose 336 = n + l. Is n composite? False Suppose 4*i - 84 = 6*i. Let d be 8/(-32) + i/(-8). Let h(w) = 45*w**2 - 10. Is h(d) a composite number? True Is (-33679)/((1/4)/(1/(-4))) a composite number? False Suppose -u + 81 = -0*u + 2*s, 0 = -2*u + s + 167. Let m be (-3 - u)*1/2. Let d = 102 + m. Is d composite? False Suppose -5*u = 3*j - 1072 - 2832, -2*u = 5*j - 1573. Is u a composite number? True Suppose -59075 = -21*h + 40234. Is h prime? True Let l be (12/(-8))/(15/(-100)). Is (-36)/l - -4 - 372/(-20) a prime number? True Let r = 11 + 7. Suppose 10 - r = -2*v. Is -586*(-2)/v + 0 composite? False Suppose -4*h + 2*v + 5852 = 0, -19*h + 15*h + 5864 = -5*v. Is h a prime number? False Suppose 4*w - 3*w = 6. Is 3795/6 - w/(-4) a composite number? True Let j be (60/(-75))/(2/(-5)). Suppose -1839 = -j*y - y. Is y prime? True Is 1201/(-2*4/(-24)) composite? True Let l(x) = -16*x + 216. Let t be l(11). Let n = 32 - 19. Let r = t + n. Is r prime? True Suppose 60*t - 76*t + 105744 = 0. Is t composite? True Let b be (-24)/2*794*-1 + -2. Let m = b - 5477. Is m a prime number? True Let z(y) = 58*y**2 + y - 16. Is z(-11) a prime number? True Let d be ((-432)/120)/(-1 + (-9206)/(-9200)). Is -2 - (-21)/9 - d/18 prime? True Is (-8039)/(-2)*2*(3 - 2) prime? True Let u = 46 - 19. Let d = -23 + u. Is (2 + -4)/(d/(-186)) prime? False Suppose 16290 = 4*h + r, 4*r = -4*h + 3*h + 4065. Is h a composite number? False Let x(t) = 348*t**2 + 29*t + 112. Is x(15) a prime number? False Suppose 4535 = 3*g - u, -2*u = -0 + 4. Is g a prime number? True Suppose k - 30 = -4*k. Suppose -5*l + k = -2*l. Suppose -u + 261 = l*u. Is u composite? True Let b(m) = m**2 - 2*m + 18. Is b(-29) prime? False Suppose 0 = -4*j - 5*n + 3000, n + 1 = 5. Is j a prime number? False Let c(i) = -i**3 + 12*i**2 + 12*i + 17. Let s be c(13). Suppose -s = -l + 1. Suppose -3*y = -4*g + 2 + 30, -4*y = -l*g + 39. Is g composite? False Let z be (-683)/(3/4*2/3). Is z*1*5/(-10) a composite number? False Let n(i) be the third derivative of i**5/20 - i**4/6 + 4*i**3/3 - 18*i**2. Is n(13) prime? True Suppose -b = 4*b. Suppose 0 = -5*d - 0*d + 8060. Suppose b*n - 4*n = -d. Is n a prime number? False Let k(l) = l**2 - 3*l - 3. Let p be k(-3). Suppose 0*z - 3*z + 4*y + p = 0, 3*z + 2*y + 3 = 0. Let d(m) = 8*m - 1. Is d(z) prime? True Suppose -133*g + 139*g = 474. Is g prime? True Suppose 2*m - 2*y + 14 = 2*y, -3*m - 4*y + 19 = 0. Let h(s) = 113*s - 5. Let b be h(2). Suppose 4*t - 4*q - b = -m, 0 = 5*t + 4*q - 239. Is t prime? False Suppose 3*q = -0*n + 5*n + 27, 0 = -4*n. Suppose j - 34 = 5*r - q, 0 = 5*r - 10. Is j a composite number? True Suppose 1 = -q + 3. Suppose -q*i + 4*x + 1 = -i, -x + 11 = -4*i. Is (-884)/i - (-6)/18 a composite number? True Is (6599*-1)/((5 + -4)*-1) a composite number? False Let z(r) = 7*r + 45. Let i be z(5). Is 37664/i + (-2 - 22/(-10)) a composite number? True Suppose 11*s - 16*s = 0. Suppose 4*h - 2*u + 100 = 5*h, h - 5*u - 121 = s. Is h a prime number? False Let o(n) = -5*n**2 - 11*n. Let a(d) = -9*d**2 - 21*d - 1. Let t(q) = 6*a(q) - 11*o(q). Let u be t(6). Suppose 4*w - 513 - 515 = u. Is w a composite number? False Is -1 + 4154 + -7 + 3 + 2 composite? True Let l = -17 + 310. Is l composite? False Let g(h) = 13440*h**2 + 16*h + 31. Is g(-2) a composite number? False Let b(y) = 19*y + 2 - 3 + 4 + 2 - 2. Suppose -4*z + 35 = 5*x + 7, -x = 5*z - 14. Is b(x) a prime number? True Let k(j) = 161*j + 206. Is k(27) prime? False Is 10/(-6)*308745/(-225) prime? True Let m(x) = 2*x**2 - 6*x - 31. Let z(n) = -n**2 - 1. Let v(l) = m(l) + z(l). Is v(13) prime? True Let t = 8 + -5. Is 2 - (1*t/1 + -1010) prime? True Suppose -2 = 2*y + 4*r + 6, 4*r = -5*y + 4. Suppose 0 = -y*t + 1719 + 489. Let i = t + -343. Is i a composite number? True Let a(p) = 926*p - 52. Let r be a(2). Let l(n) = -29*n**2 + n - 7. Let q be l(-6). Let h = r + q. Is h composite? False Let g = 7789 - -7752. Is g a prime number? True Suppose 69044 = 17*s - 88665. Is s a prime number? True Suppose -2*v + b + 9 = 0, -6*v + 5*b + 18 = -5*v. Let f be (70/8)/5*484. Suppose -v*l - 1064 = -5*d, l = 2*d + 2*d - f. Is d a composite numbe
{ "pile_set_name": "DM Mathematics" }