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p + g = 5*d. What is the units digit of d? 7 Let z(v) = 5*v**2 + v - 1. Let n be z(1). Let m(u) = 3*u - 6. Let y be m(n). Suppose r - 2*r + y = 0. What is the units digit of r? 9 Suppose f + 82 = -3*f - h, -107 = 5*f - h. What is the units digit of (-7)/(f/30) + -1? 9 Let n be (-2)/3 - (-8)/3. Suppose 0 = -x - 3*x. Suppose -5*w + t + 8 = x, 0 = -w + 2*t - n - 0. What is the units digit of w? 2 Suppose 0 = -4*w - a + 50, 4*w - 18 - 36 = -3*a. What is the tens digit of w? 1 Let n = 54 + -19. What is the tens digit of n? 3 Let h(k) = k**2 + 15*k - 22. What is the units digit of h(-17)? 2 Suppose -i + 0*i = -2. Let s(d) = d**2 + 7*d - 5. Let h be s(-7). Let t = i - h. What is the units digit of t? 7 Suppose 9*y = 6*y + 252. What is the units digit of y? 4 Let p = -54 + 134. Let j = p + -53. What is the units digit of j? 7 What is the units digit of (-1)/(3 + 44/(-14))? 7 Let u = 18 - -24. What is the units digit of u? 2 Let t(k) = 3*k**2. Let j be t(-1). Let z be (-3)/(9/j)*0. Let i(q) = q**3 + q**2 - q + 7. What is the units digit of i(z)? 7 Suppose -3*w - 5 - 3 = 4*s, -20 = 4*s. Suppose -7 - 21 = w*c. Let n = 16 + c. What is the units digit of n? 9 Let b(c) = -2*c**3 - 6*c**2 - 2*c - 7. What is the tens digit of b(-4)? 3 Suppose 3 - 7 = -2*n. Suppose -n*j + 5 + 17 = 0. What is the tens digit of j? 1 Let y(x) = -x**3 + 4*x**2 - x - 4. Let o be y(3). Let m(u) = -5*u - 1 + 2*u**o + 0*u + 3*u. What is the units digit of m(-1)? 3 Suppose 6*o = 2*x + 4*o + 6, -o = -5*x - 7. What is the tens digit of (11/33)/(x/(-33))? 1 Suppose a = 6*a + 175. Let q = 4 - a. What is the tens digit of q? 3 Let u be 0/(((-2)/2)/1). Suppose u = 4*n - 5*v - 5 - 3, -2*v = -2*n + 4. Suppose -a - n + 4 = 0. What is the units digit of a? 2 Let f = -12 + 20. Suppose -4*s + 80 = f. What is the units digit of s? 8 Let j(s) = 4*s - s**3 + 3*s + 3*s - 8*s**2 + 13. Let f be j(-9). Suppose -1 - f = -u. What is the units digit of u? 5 Let f(z) = -8*z + 16. Let y(o) = 7*o - 15. Let n(r) = -6*f(r) - 7*y(r). What is the units digit of n(4)? 5 Let l = 54 + -21. Let r = l + -14. What is the tens digit of r? 1 Let k = 12 - -9. What is the tens digit of k? 2 Let u = 1 + 0. What is the units digit of u? 1 Suppose -n = n - 122. What is the units digit of n? 1 Suppose -2*y = 0, -5*y = 3*q - 2*q - 3. Let o be 3*(q/3 + -2). Let g = 10 + o. What is the units digit of g? 7 Let j(g) = -g**3 + 11*g**2 - 14*g + 5. What is the units digit of j(9)? 1 Let q(d) = d**2 + d + 1. Let t(x) = -4*x**2 + 3*x - 1. Let u(p) = -2*q(p) - t(p). What is the units digit of u(6)? 1 Let o be (-2)/6 - 184/(-12). What is the units digit of ((-6)/o)/(2/(-20))? 4 Let i = -6 - -16. What is the tens digit of i? 1 Let z(f) = -f**2 + 7*f + 6. Suppose 4*u + 4 = 3*a, 1 = -5*u + 3*a - 1. Let d be (-60)/(-9) + u/6. What is the units digit of z(d)? 6 Let o be ((-6)/(-15))/((-1)/(-5)). Let l(s) = -17*s + 1 + 17*s + 2*s**2. What is the units digit of l(o)? 9 Let z(d) = -3*d**2 - d - 2. Let u be z(3). Let i be u/(-40)*1*5. Suppose -i*g + 79 - 11 = 0. What is the tens digit of g? 1 Let u(c) = -c**2 + 8*c - 8. Let i be u(6). Suppose -2*h + i*h - 34 = -5*p, -h + 2*p = 1. What is the units digit of h? 7 Suppose 3*j - 1 - 1 = -4*g, -j + 2*g = -14. Let d = 17 - j. What is the units digit of d? 1 Let f = -7 + 7. Suppose f = -4*y + 109 + 63. What is the tens digit of y? 4 Let t be (14/(-6))/(4/12). Let w(q) = -7*q + 24*q**3 - 8*q**2 - 2*q - 25*q**3. What is the units digit of w(t)? 4 Suppose 214 = 6*a - 248. What is the units digit of a? 7 Let c = -6 + 8. Let w = 3 + c. Suppose 11 = w*o - 4. What is the units digit of o? 3 Let g(j) = j**3 + 9*j**2 + 5*j - 7. Let m be g(-8). Suppose 5*v = -3*q + 123, -v + 4 = -3*q - m. What is the units digit of v? 4 Let n be (-6)/4*(-16)/6. Suppose n*i = -0*i - 12. What is the units digit of (-2)/(-6) - 20/i? 7 Suppose -5*s + n + 40 + 19 = 0, -3*s + 4*n = -49. What is the units digit of s? 1 Let f(h) = 6*h**3 - 4*h**2 + 7*h - 3 - 8*h**3 + h**3. What is the tens digit of f(-6)? 2 Let k be -3 + 1*-2*1. Let z(i) = 5*i - 1. Let w be z(-1). What is the units digit of (-22)/k - w/(-15)? 4 Let s(p) = -p**3 + 4*p**2 + 7*p - 3. Let m be s(5). Suppose y + 2*f - 7 = 0, 2*y - 2*f + m*f - 18 = 0. What is the units digit of (-1)/(y*(-1)/(-6))? 6 Suppose 2*n + 148 = 4*n. Suppose p + n = 3*c, 0*c = c + p - 18. What is the units digit of c? 3 Let p be -10*((-14)/5 - -2). What is the units digit of (-20)/p*4/(-5)? 2 Let j = -49 - -92. Let o = j + -22. What is the tens digit of o? 2 Let f(k) = -k**3 + 6*k**2 + k - 2. Let b be f(4). Suppose -2*q + 3*q = -3*o + b, 3*o + 4*q - 28 = 0. What is the units digit of o? 2 Let o(l) = -2 - l**2 - 3*l - 7*l - 3*l + 4*l. What is the tens digit of o(-7)? 1 Suppose -2*d - 2*d = -52. Suppose -5*o = -d - 62. What is the tens digit of o? 1 Let k(d) = -d - 8. Let u = -24 + 7. What is the units digit of k(u)? 9 Suppose 0 = 7*g - 467 - 1010. What is the hundreds digit of g? 2 Let z(g) = -6*g**3 + 3*g + 5. What is the units digit of z(-2)? 7 Let v be (-6)/8 - 27/12. What is the units digit of (1 - 8)/(-4 - v)? 7 Let j(k) = -k + 13. Suppose 5*s + 2*p = 24, 5*s + p - 6*p = 10. Suppose 0 = 2*y + a + 2 - 14, -s*y + 5*a + 52 = 0. What is the units digit of j(y)? 5 Let z(g) be the second derivative of g**3/6 - 4*g. Let h be z(-3). What is the units digit of (26 - (-2 - -3)) + h? 2 Let u = 6 - -2. Let a = 9 + u. What is the tens digit of a? 1 Let u(p) = -p + 23. What is the units digit of u(11)? 2 Suppose -16*t = -12*t - 164. What is the units digit of t? 1 Suppose 59*l + 30 = 64*l. What is the units digit of l? 6 Let d = -11 + 12. What is the units digit of d? 1 Let p(y) = y**3 + 6*y**2 - 3*y + 7. Let g be p(-6). Suppose w = 6*w - g. What is the units digit of w? 5 Let v(g) = -7 + 4*g - g - g. Suppose -3*t + 3 = 5*l - 16, 4*l - 26 = 3*t. What is the units digit of v(l)? 3 Let y be -3*(14/(-3))/2. Let q(m) be the first derivative of m**4/4 - 8*m**3/3 + 7*m**2/2 + 2*m - 2. What is the units digit of q(y)? 2 Let k(c) = c**3 - 6*c**2 + 6*c - 7. Let b be k(5). Let p be b/(-4) - (-45)/10. Suppose -12 = -p*o + 53. What is the units digit of o? 3 Suppose 0 = -4*o - 24 + 76. Let k(t) = 4*t + 3. What is the tens digit of k(o)? 5 Suppose 44 = -6*i + 278. What is the units digit of i? 9 Let u(i) = -i**2 + 13*i + 10. Suppose 2*d - 4 - 22 = 0. What is the units digit of u(d)? 0 Let s(g) = -g - 22. Let j(w) = w + 23. Let m(p) = -6*j(p) - 7*s(p). What is the units digit of m(-7)? 9 Suppose -z - 285 = -i - 114, -i + 179 = 3*z. What is the hundreds digit of i? 1 Suppose 4*c - 1 = -13, 5*c = -3*a - 39. Let f be (-1 + a)/(1/1). What is the units digit of 1 + -1 + f/(-3)? 3 Let h be ((2 - 2) + 1)*0. Suppose h = w + f - 6 - 3, 0 = 3*w - f - 31. Let a = 16 - w. What is the units digit of a? 6 Let y(i) = 11*i - 3. What is the units digit of y(1)? 8 Suppose -o + 230 = r, -274 + 56 = -r - 4*o. What is the hundreds digit of r? 2 Suppose 2*g + 294 = 5*h + 32, 0 = 4*h - 5*g - 196. What is the units digit of h? 4 Let i = 1 + 2. Let t be (-3)/(-6) + 10/4. Suppose 5*n + t*d - 10 = 40, -i*d = 3*n - 30. What is the units digit of n? 0 Let a = 470 + -331. What is the tens digit of a? 3 Suppose -k + 21 - 2 = 0. Let q = k + -12. What is the units digit of (-10)/35 + 16/q? 2 Let k = 5 - 3. What is the units digit of k/(-4)*(-5 + 3)? 1 Suppose c - 25 = -4*i, -5*c + 79 = -2*i - i. What is the units digit of c? 7 Let y(p) = 24*p**2 - 1. What is the units digit of y(1)? 3 Let d(g) = -g**3 + 3*g**2 + g - 1. What is the units digit of d(2)? 5 Let a(x) = x**2 + 3*x - 14. Let y be a(6). Suppose 5*j = -5*r + 120 + y, -r - 76 = -2*j. What is the units digit of j? 6 Let f(k) = -k**3 - 5*k**2 + 7*k + 4. Let u be f(-7). Let a = u - 33. What is the tens digit of a? 2 Let u(f) = f - 5 - 1 + 3. Let v be u(6). What is the units digit of (-2 - 5)/(2 - v)? 7 Suppose 648 + 117 = 3*j. What is the hundreds digit of j? 2 Let f(l) = 48*l - 30. What is the hundreds digit of f(5)? 2 What is the tens digit of (-48)/(-12) + 219/1? 2 Let s(v) = v**3 + v**2 - v - 1. Let b be 6/(-10) - (-2)/(-5). Let f be s(b). Let w = 4 - f. What is the units digit of w? 4 Let k = 27 + -13. What is the units digit of 2/(-1 + k/10)? 5 Let m be 130/35 + (-4)/(-14). Suppose -w - m = -2*w
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
Suppose -j*o + 66 = -3*o. Is o a composite number? True Suppose 10*n = -n + 2541. Let z = -71 + n. Is (-2 + z)/(-2 + (2 - -2)) composite? False Suppose -b = 5*d - 0*d + 16, -3*d - 5 = -4*b. Let r be -45 + (0 - (-3)/d)/(-1). Is 1143/6*r/(-6) composite? True Suppose 6*f - 4232 = 70. Suppose -3*a + 23*j = 20*j - 27, 5*j + 33 = 4*a. Suppose -315 = -a*o + f. Is o composite? True Let j be (0 - 20/(-5))*1. Suppose 2 + 2 = -4*z, j*m = -4*z + 7008. Is m prime? True Let o(b) = 44*b**3 - 22*b**2 + 50*b - 131. Is o(19) composite? False Is 1/(-14)*-21*400810/15 prime? False Suppose -5*s + 18 = 43, 2*s = 4*w + 338. Suppose 5*u = a + 183, -2*u + 0*u = 6. Let r = w - a. Is r a composite number? True Let h(q) = 391*q**2 - 3*q + 3. Let k(d) = 4*d**3 + 2*d**2 + 2*d + 1. Let n be k(-1). Let j be 1/(n/6 - -1). Is h(j) prime? False Let t(x) = -x**2 + 1. Let s(y) = -289*y**2 + y - 7. Let c(b) = -s(b) - 4*t(b). Is c(-2) composite? True Let k = 421 - -12462. Is k a prime number? False Let j be -3*419997/(-99) + 6/(-33). Suppose -7*v + 4*v = 4*y - j, 5*v = y + 21204. Let k = v + -2860. Is k prime? True Suppose -21*p + 1546836 = 277659. Is p a composite number? True Suppose y = -4*y + 42185. Let j be -1*(-5 - (-228)/42 - (-6)/(-14)). Suppose 7*p + 6*p - y = j. Is p prime? False Let v be (((-78)/8)/3)/(4/272). Let h = 398 - v. Is h a prime number? True Suppose 0 = -17*j - 17*j + 543306 - 13212. Is j prime? False Let o = 24088 - 11841. Is o a composite number? True Let c(a) = a**3 - 9*a**2 - 21*a - 7. Let i be c(11). Suppose -i*r = 2*s - r - 6203, -3099 = -s - 4*r. Is s prime? False Let c(d) = 175*d**2 - 39*d - 218. Is c(-8) a prime number? False Suppose -22548*a - 724833 = -22557*a. Is a a prime number? True Suppose -j + 2*i + 1925 = 0, -3*j + 4*i + 9096 = 3319. Let p = j + -240. Is p composite? True Is 1 - -1*8 - (-193 + -23257) a prime number? True Let k = -700132 + 1087019. Is k composite? False Let w(n) = 170*n**2 - 43*n - 16. Is w(-25) prime? True Let a be ((-95)/76)/(1/24). Is 3222 - (a/(-26) + (-24)/156) a prime number? True Let m be 5 + 0 - (7 + 18/(-3)). Suppose m*t = 5*t - 3713. Is t composite? True Let d(p) = -131 + 114 + 14*p**2 + 4*p + 3*p + p**2. Is d(18) prime? True Let z = 10106 - -42707. Is z prime? True Suppose -1 - 3 = -t. Suppose -3*z + 9 = t*q, -3*z + 7 = -z + 3*q. Is (-182)/(-8) + z - 63/84 a prime number? False Suppose -10*n + 1 + 9 = 0. Let l be n/(-2) + (-5)/(-2). Suppose -52 - 304 = -l*j. Is j composite? True Let a(o) be the first derivative of 149*o**7/840 - 7*o**3/3 - 12. Let y(n) be the third derivative of a(n). Is y(1) prime? True Let u be 1/((3 - -2)/15). Suppose -o - 5*v + 1082 = 0, 0*v + u*v = -3. Is o a composite number? False Let x(t) = t**3 + 9*t**2 - 10*t - 9. Let i be x(-8). Suppose -3*c - 4*m + 288 = 0, m - 345 - i = -5*c. Let f = 183 - c. Is f a composite number? True Let j be (-2)/((-48)/12548) + 5/30. Let o = j + 2244. Is o composite? False Let m be (-6756)/2 + 2 + 5 + -10. Let u = m + 9624. Is u prime? False Let d(a) = 1994*a + 43. Let j be d(14). Let t = j + -16919. Suppose 5*q - 1523 = -2*y + t, 2*y - 10050 = -4*q. Is q a composite number? True Let j(a) = 709*a + 4. Let h be (-1 + 5 + -6)/(2/8). Let u be 5 - 1/(-2)*h. Is j(u) composite? True Is ((-8)/(-20))/((-5)/(-6) + 32552901/(-39063870)) prime? False Let h = 309797 + -220430. Is h composite? True Suppose -8*t + 2630 = 2*t. Suppose 5*m - 5*z - t + 33 = 0, -2*m - 4*z = -122. Is m composite? True Suppose -v - 20 = -5*v. Suppose -v*g = 4*k - 9189, -2*g + 2907 = -3*k + 9816. Suppose 7*y - k = 4*y. Is y prime? False Suppose 2*w - 54 = -44. Suppose -2*z - 12*s + 113 = -15*s, 5*s - w = 0. Is z prime? False Is ((-2729436)/72)/((-19)/114) composite? False Let k(o) = -o**3 - 4*o**2 - 2*o + 24. Let v be k(8). Let z = v + 12425. Is z a composite number? True Let k = -114 - -119. Suppose s = -2*p + k*p + 6834, 3*s = -2*p + 20535. Is s a composite number? True Suppose 141*y = 1820084 + 231430 + 184605. Is y prime? True Suppose -a - 3*l - 5 = 0, 0 = -4*a + 5*l + 15 + 16. Suppose 2*f - 3*t - 5808 = 5*f, 3*f = -a*t - 5813. Let r = 3466 + f. Is r a composite number? True Let u(f) = 36*f**2 - 23*f - 117. Is u(-8) composite? False Let l(d) = 84088*d - 9. Is l(1) a prime number? False Suppose 54*s + 209*s = 11835263. Is s prime? False Suppose 12*n = 18*n - 240. Is 32/n - (-36482)/10 a composite number? True Is (56 - 9)/(2/262) a composite number? True Let z(i) = 31*i**3 + 61*i**2 + 76*i - 75. Let g(c) = -14*c**3 - 30*c**2 - 37*c + 37. Let h(u) = 13*g(u) + 6*z(u). Is h(16) a composite number? False Suppose -7*b + 106 = 43. Suppose -b = -4*j + j. Suppose 4*z - 6 - 14 = 0, -1220 = -5*w + j*z. Is w composite? True Let a(f) = 5*f**2 - 5*f - 11. Let l be a(5). Let t = -47 + l. Suppose -t*g + 4233 = -39*g. Is g prime? False Let f(m) be the second derivative of -5/2*m**2 - 26*m + 2/3*m**3 + 0 + 155/12*m**4. Is f(2) composite? True Let q(x) = x**2 - 4*x - 52. Suppose y - a = -12, -5*y - 95 = a + a. Is q(y) a composite number? True Let d(s) = 20*s**3 - 4*s**2. Let y be d(4). Let a = 3815 - y. Is a a prime number? False Let u(a) = -5*a + 89. Let r be u(16). Is (21/r)/(-7)*-26337 a prime number? True Let g(a) = a**3 - 11*a**2 + 2*a - 15. Let r be g(11). Suppose -3*n = -r*n + 1852. Let l = n - 272. Is l composite? False Let t(d) = -1641*d + 17. Let r be t(-7). Suppose -7*o - r = o. Is (-4)/(-3)*6/(-16)*o a prime number? True Suppose -4420 = -11*c + 6*c. Suppose c = 2*d - 468. Suppose 5*a = q - d - 620, -a = 5. Is q a composite number? True Let j = -4432 + 9131. Is j a prime number? False Is (539151/12 + 0)/((-62)/(-248)) composite? False Let l(g) = -193*g + 148. Let r = 261 - 276. Is l(r) composite? True Is 10*(-45)/150 + 283082 prime? True Suppose 225 = z + 3*i - 4*i, -4 = 2*i. Let t(h) = h**3 - 69*h**2 + 62*h + 411. Let l be t(68). Suppose -z = -3*x - l*s + 587, 5*x = -3*s + 1358. Is x composite? True Suppose -27*v = -22*v - 15. Suppose -v*q = -q. Suppose q*c + 478 = 2*c. Is c prime? True Suppose -o = 4, 2*o = r + o - 14. Suppose -2762 = -r*m + 5668. Is m a prime number? False Let t be -9*2/12*-14. Let b be 14/t + (-10382)/3. Let q = b - -5589. Is q prime? True Suppose -119566274 + 36768302 = -228*t. Is t a prime number? True Suppose -2*m + 116912 + 648070 = 8*g, m + g = 382512. Is m a prime number? True Let s = 237040 - 167931. Is s prime? True Let m(p) = -8*p - 71. Let c be m(-7). Is 6/c + 222183/45 prime? True Let i = 1004692 + 441609. Is i a prime number? True Let z be -2 - -22 - 2/1. Let u(s) = s**3 - 20*s**2 - 4*s - 9. Let n be u(z). Let b = n + 1310. Is b prime? False Let b = 277701 - 66562. Is b composite? True Let a(g) = -g**2 - 7*g + 3. Let k be a(-6). Let p(f) = 4 + 0*f**2 + 19*f**3 + 7*f - 20*f**3 + k*f**2. Is p(9) a composite number? False Let i(k) = 19*k**2 + 2*k + 5. Suppose -8*p + 74 + 14 = 0. Suppose 4*l - p + 35 = 0. Is i(l) prime? True Let c(g) = -2*g**3 - 14*g**2 - 3*g - 17. Let y be c(-7). Suppose i + y*b = -27, 2*i + 3*b - 51 = 5*i. Is ((i - 0)*-1)/((-6)/(-102)) composite? True Let f be 49/294 - (-23)/6. Let m(z) = 2928*z - 35. Is m(f) a composite number? False Let b = -2342 + 832. Let d = 3201 + b. Is d prime? False Suppose 43*c - 2507264 - 1777776 = 380546. Is c a prime number? False Let x(s) be the second derivative of 9/2*s**2 - 15*s + 3/20*s**5 - 2/3*s**4 + 0 + 2/3*s**3. Is x(7) composite? True Let z(r) be the first derivative of 28*r**3/3 - r**2/2 - 3*r - 25. Suppose 4*l - 5*s + 4*s + 24 = 0, -2*s + 12 = -2*l. Is z(l) a composite number? True Suppose 617*g + 16483 = 618*g. Is g prime? False Suppose 26*p = 30*p - 36. Suppose 2*d = -3*t + 11, -5*t + p*t = 3*d + 9. Suppose 0 = t*w + 1164 - 6129. Is w composite? True Suppose -2*n + l = 2706, n - 4*l + 1406 = 46. Let a = n - -1993. Is a a composite number? False Let r(s) = -2*s**3 - 4*s**2 - 10*s + 12. Let z be r(-10). Suppose -z = -9*v + 673. Is v composite? True Let u = 13050 + -161. Is u composite? False Let t(w) = 3*w - 88. Let f be t(30). Suppose 6*j - 2*j - y - 7560 = 0, -4*j - f*y + 7548 = 0. Is j a composite number? False Suppose -248511 = -4*g + 5*p, 2*g - 102059 = -6*p + 22137. Is g a prime number? True Suppose -2*l + 1040 = v + v, -5*v + 2570 = -l. Suppose 6*m - 1027 = v. Is m a prime number? True Let r(d) be the thi
{ "pile_set_name": "DM Mathematics" }
m(w) = -3*w + 7. Calculate m(0). 7 Let w(t) = -7*t + 11. Calculate w(6). -31 Let k(s) = s**2 - 3*s - 7. Give k(7). 21 Let o(c) = -c**3 + 14*c**2 - 14*c + 20. What is o(12)? 140 Let m(p) = 7*p - 118. Determine m(5). -83 Let p(n) = -n**3 - 50*n**2 - 56*n - 346. What is p(-49)? -3 Let q(c) = -c**3 + 4*c**2 - 6*c + 5. Calculate q(2). 1 Let z(b) = b**3 + b**2 - 5*b + 2. Determine z(-3). -1 Let z(j) = 2*j**3 - j. Give z(-2). -14 Let p(x) = -x**3 + 2*x**2 + 5*x - 9. Give p(3). -3 Let m(v) = -v**3 + 3*v**2 - 2*v + 2. What is m(2)? 2 Let a(g) = -g - 3. Determine a(-1). -2 Let a(h) = -3*h**2 + 2*h + 1. Give a(-1). -4 Let w(d) = 3*d - 22. Give w(2). -16 Let p(d) = d**2 + 6*d - 11. What is p(-9)? 16 Let r(v) = 24*v**3 - v**2 - v + 2. What is r(1)? 24 Let h(j) = -j - 10. Determine h(5). -15 Let k(p) = 2*p + 5. Determine k(-4). -3 Let f(n) = -n**2 + 4*n - 5. Calculate f(2). -1 Let b(q) = -q**3 - 6*q**2 - 3*q. Give b(-2). -10 Let r(k) = k**3 - 29*k**2 + 32*k - 105. Determine r(28). 7 Let p(v) = v**2 - 4*v + 1. Give p(5). 6 Let f(d) = d**3 + d + 132. Calculate f(0). 132 Let l(d) = 10*d - 413. Calculate l(41). -3 Let r(w) = -w + 4. Calculate r(8). -4 Let o(m) = -m**3 + 2*m**2 + 6*m + 2. Give o(-2). 6 Let y(q) = -4*q. Calculate y(2). -8 Let j(w) = -w**2 - 35*w - 10. Give j(-35). -10 Let z(x) = -x**3 + 11*x**2 + 81*x - 6. Calculate z(16). 10 Let w(s) = 3*s**2 + 25*s + 98. Determine w(-6). 56 Let r(y) = -y**3 + 9*y**2 + 26*y - 149. Give r(10). 11 Let u(t) = 2*t + 36. Give u(-17). 2 Let c(z) = 3*z - 6. What is c(2)? 0 Let y(h) = -h**2 + 19*h - 66. Calculate y(13). 12 Let x(l) = 13*l + 84. Determine x(-7). -7 Let n(t) = -t**3 - 32*t**2 + 35*t + 53. Calculate n(-33). -13 Let k(l) = -l**3 + 4*l**2 + 6*l + 6. Calculate k(5). 11 Let w(u) = 5*u - 17. Give w(4). 3 Let q(k) = -k**3 - 7*k**2 + 18*k - 9. Calculate q(-9). -9 Let y(m) = -m**3 + 20*m**2 - m + 4. What is y(20)? -16 Let d(f) = 2*f**2 - 22*f - 1. Calculate d(11). -1 Let a(w) = -w**3 + w**2 - w + 36. Give a(0). 36 Let a(u) = -u**3 + 4*u**2 + 3*u + 3. Give a(-3). 57 Let c(w) = 7*w + 2. What is c(-3)? -19 Let q(a) = 12*a - 25. Give q(9). 83 Let m(g) = -3*g**2 + 24*g - 17. Give m(9). -44 Let x(s) = 8*s - 1. Determine x(0). -1 Let g(a) = -9*a**2 + 32*a + 13. What is g(4)? -3 Let j(d) = -d**2 + 4*d + 45. Calculate j(-5). 0 Let l(t) = -t**2. Give l(-1). -1 Let j(s) = 2*s**2 + 4*s - 1. Give j(5). 69 Let i(r) = r**2 + 7*r - 12. Determine i(-9). 6 Let s(g) = 2*g**2 + 5*g - 7. Give s(-3). -4 Let h(n) = n**2 - 4*n - 5. Give h(5). 0 Let l(d) = -4*d**2 - 12*d - 8. Determine l(-7). -120 Let w(k) = 3*k**2 + 43*k + 4. Calculate w(-14). -10 Let s(j) = 3*j**2 - 2*j - 2. Determine s(2). 6 Let y(t) = 7*t + 49. What is y(-8)? -7 Let f(g) = -2*g**2 - 5*g - 2. Give f(-4). -14 Let v(c) = c**3 + 19*c**2 + 17*c + 27. Give v(-18). 45 Let k(l) = l**2 + 4*l - 9. What is k(-5)? -4 Let d(s) = s**3 + 5*s**2 - 17*s - 2. What is d(-7)? 19 Let f(s) = 2*s**2 - 19*s - 81. Calculate f(-4). 27 Let o(i) = 29*i - 433. Determine o(15). 2 Let d(i) = 4*i**2 + 2*i. Give d(4). 72 Let h(s) = s**3 - 12*s**2 + 20*s + 65. Give h(9). 2 Let c(k) = -k**3 - 9*k**2 - 3*k + 8. Determine c(-8). -32 Let h(n) = -29*n - 111. Determine h(-4). 5 Let o(m) = m**2 - 3*m - 2. What is o(3)? -2 Let m(s) = -2*s**3 + 6*s**2 + 5*s - 11. What is m(5)? -86 Let d(n) = n**2 - 4*n - 4. Determine d(-2). 8 Let l(v) = -v**3 + 22*v**2 - 9*v + 62. Calculate l(22). -136 Let o(n) = 3*n**2 + 15*n + 14. Calculate o(-7). 56 Let n(v) = -v**3 + 3*v**2 + 4*v + 3. Give n(4). 3 Let t(c) = 2*c**2 - 14*c + 16. Calculate t(5). -4 Let l(i) = -2*i**2 + 5*i + 11. Determine l(5). -14 Let a(f) = -3*f**3 - 2*f**2 + 3*f + 3. Give a(-2). 13 Let g(b) = -2*b**2 + 6*b - 2. Determine g(4). -10 Let c(d) = d**2 + 13*d + 4. What is c(-12)? -8 Let u(j) = -3*j**2 - 3*j - 6. What is u(-4)? -42 Let x(l) = -l + 3. What is x(-8)? 11 Let p(z) = z**2 + z + 14. Determine p(0). 14 Let o(j) = -16*j - 202. Determine o(-12). -10 Let w(g) = 2*g**2 - 3*g + 3. Determine w(-3). 30 Let d(k) = -2*k**2 + 2*k - 1. What is d(4)? -25 Let x(g) = -g**2 - 4*g. Give x(2). -12 Let i(q) = 28*q - 2. Calculate i(1). 26 Let k(g) = 2*g**2 - 61*g - 109. Calculate k(32). -13 Let z(k) = -k + 1. What is z(-2)? 3 Let v(w) = 6*w**2 - 210*w - 4. What is v(35)? -4 Let s(a) = -2*a**2 - a - 2. Determine s(-1). -3 Let n(k) = -k + 18. What is n(14)? 4 Let l(s) = -99*s + 392. What is l(4)? -4 Let h(y) = -y**2 - 27*y - 99. Calculate h(-5). 11 Let n(v) = v + 1. What is n(6)? 7 Let o(f) = -3*f**2 + 10*f - 2. Give o(5). -27 Let s(t) = -t**3 + 19*t**2 - 2. Give s(19). -2 Let z(p) = -20*p - 129. Calculate z(-6). -9 Let u(v) = 10*v. Calculate u(-2). -20 Let m(x) = -14*x - 3. Calculate m(-2). 25 Let w(v) = -v**3 + 13*v**2 - 4*v + 6. Give w(13). -46 Let m(y) = -y**3 + 26*y**2 + 19*y + 212. Determine m(27). -4 Let q(v) = -4*v - 2. Determine q(6). -26 Let x(i) = -2*i**3 - 3*i**2 + 2*i + 10. Determine x(-2). 10 Let s(n) = -n**2 + 6*n - 10. Give s(6). -10 Let u(m) = 11*m**2 + 2*m - 2. Give u(2). 46 Let t(p) = -4*p - 50. Determine t(-24). 46 Let k(w) = -7*w**2 + w + 1. What is k(-2)? -29 Let a(d) = -10*d**3 - 4*d**2 - d + 2. Give a(-2). 68 Let v(c) = 3*c**2 + 9*c + 16. What is v(-5)? 46 Let o(x) = -2*x + 7. Calculate o(4). -1 Let y(i) = i + 5. Give y(-5). 0 Let c(g) = g**3 + 11*g**2 + 6*g - 41. Give c(-10). -1 Let a(r) = -3*r**2 + 75*r - 16. Give a(25). -16 Let l(a) = a**3 - 8*a**2 + 16*a - 2. What is l(5)? 3 Let s(c) = 16*c + 38. Determine s(-4). -26 Let u(a) = -2*a**2 - 4*a + 99. What is u(-8)? 3 Let r(u) = u**2 + 11*u + 16. Give r(-13). 42 Let j(b) = b**3 + 13*b**2 + 9*b + 18. Give j(-12). 54 Let q(c) = -c**3 - 49*c**2 + 390*c - 112. Determine q(-56). 0 Let h(p) = p - 5. Give h(-6). -11 Let s(x) = x**2 - 12*x + 18. Calculate s(3). -9 Let y(b) = -17*b + 102. Calculate y(6). 0 Let q(k) = -10*k - 226. What is q(-23)? 4 Let y(p) = p + 10. What is y(-7)? 3 Let k(x) = -x**3 - x**2 - x - 3. What is k(0)? -3 Let g(j) = -j + 56. Determine g(40). 16 Let m(s) = 10*s - 56. Give m(6). 4 Let p(r) = -2*r**2 - 6*r - 8. What is p(-2)? -4 Let v(y) = -y**3 + 7*y**2 + 6*y + 4. Determine v(8). -12 Let g(o) = o - 28. Give g(11). -17 Let w(n) = -n**3 + 4*n**2 + 6*n + 9. Calculate w(6). -27 Let o(h) = h - 2. What is o(-8)? -10 Let b(q) = -q**3 + 12*q**2 - 11*q + 4. Determine b(4). 88 Let f(b) = -3*b**3 - b**2 + b. What is f(-2)? 18 Let d(h) = -h**3 - 18*h**2 - 29*h + 52. What is d(-16)? 4 Let a(j) = j**3 + 10*j**2 + 5*j - 7. What is a(-9)? 29 Let b(r) = -33*r**2 - 3*r - 1. Determine b(-1). -31 Let f(x) = -2*x**2 - 11*x - 6. What is f(-8)? -46 Let x(w) = w**2 - 3*w - 28. What is x(8)? 12 Let i(r) = r**2 + 21*r - 5. Calculate i(-21). -5 Let p(m) = -m**2 + 10*m - 14. Calculate p(8). 2 Let r(o) = 42*o - 210. Calculate r(5). 0 Let s(h) = 36*h + 112. Give s(-3). 4 Let r(w) = 2*w**2 + 63*w - 81. Determine r(-33). 18 Let k(b) = 3*b**3 - 15*b**2 - b + 2. Determine k(5). -3 Let x(y) = -y - 2. Calculate x(-13). 11 Let b(j) = j**3 + 36*j**2 + 34*j - 29. Calculate b(-35). 6 Let u(i) = 4*i + 75. What is u(-20)? -5 Let k(t) = -17*t + 124. What is k(7)? 5 Let c(h) = -2*h**2 + 2*h + 1. Give c(1). 1 Let n(o) = 9*o - 62. Calculate n(6). -8 Let w(y) = -y**2 + 25*y - 52. Calculate w(23). -6 Let j(n) = n**3 - 3*n + 3. Give j(1). 1 Let z(y) = y**3 - 11*y**2 + 11*y - 14. Determine z(10). -4 Let x(q) = 10*q + 50. Calculate x(-7). -20 Let u(z) = -10*z + 2. Give u(-5). 52 Let m(a) = 4*a + 3. Calculate m(-7). -25 Let q(w) = -w**3 - 14*w**2 + 6. Determine q(-14). 6 Let o(c) = -c**2 - 2*c - 3. Determine o(-6). -27 Let v(o) = -o**3 - o**2 + 4*o. Determine v(-4). 32 Let b(t) = -t**2 + 14*t + 5. Calculate b(11). 38 Let z(i) = -9*i - 136. Calculate z(-15). -1 Let v(p) = 2*p**2 - 3*p - 10. What is v(-2)? 4 Let b(d) = -d**3 - 18. Give b(0). -18 Let z(w) = 15*w - 33. Determine z(7). 72 Let s(p) = p**2 - 15*p + 11. What is s(0)? 11 Let f(q) = q**3 + q**2 + 2*q + 4. What is f(3)? 46 Let u(m) = 3*m + 4. What is u(3)? 13 Let o(n) = -n**3 + 33*n**2 - 28*n - 79. Determine o(32). 49 Let a(v) = 24*v + 5. Give a(1). 29 Let r(v) = -v**3 + 8*v**2 - v + 4. Calculate r(4). 64 Let v(g) = -2*g**3 + 2*g**2 + 3*g + 1. Determine v(3). -26 Let r(f) = 25*f**2 - 125*f - 3. Give r(5). -3 Let t(r) = r**3 - 21*r**2 - 25*r + 61. Calculate t(22). -5 Let p(q
{ "pile_set_name": "DM Mathematics" }
-4*w = 2*q - 18. Solve i + o + 5 = f, -i - o + 4*o = -q for i. -2 Let t be (-3)/(-1 - (-10)/25). Suppose 8*f + 2*g = 3*f - 14, -3 = -g. Let y = t + f. Solve 5*h + y = -4*i, 5*h - 3*i - 27 = -0*i for h. 3 Let k(q) = q - 5. Let g be k(8). Let x(y) = y**3 - 6*y**2 + 2. Let d be x(6). Solve -g*n = -f - 4 - 6, -3*f - 8 = d*n for f. -4 Let p be 5*3/(1*(-6)/(-2)). Solve 4*a - 4*f - p = -a, -23 = a + 4*f for a. -3 Let n(a) = -a**3 + 7*a**2 - 5*a. Let z be 2 + (-2 - 0) - -6. Let y be n(z). Let o be 4 + -1 + y/3. Solve 3*m = -m + 16, -5*p = 5*m - o for p. -3 Suppose y = n - 2 - 1, 0 = -3*n - 2*y - 11. Let g be (-2)/1 - (n - 6). Let h = 648 + -644. Solve -3*q + g = -2*t + t, 0 = q - h*t - 20 for q. 0 Suppose 0 + 16 = m. Solve x + 3*l = -3*x - m, 4*l = -x - 17 for x. -1 Let l be (-20)/35 - 64/(-14). Solve 2 = -2*r + 4*k, 5*k - k + 28 = -l*r for r. -5 Let f be (-13)/(-4) + 4/(-16). Let p = f - 3. Solve k = 4*l, k = -3*l - p*l for l. 0 Let j(p) be the third derivative of p**5/60 - p**4/4 - 5*p**3/6 + 2*p**2. Let i be j(7). Solve -5*d + m = -3 - 3, 4 = -i*d + 2*m for d. 2 Let h(n) be the second derivative of n**4/12 + 11*n**3/6 + 21*n**2/2 + 8*n. Let z be h(-9). Solve q = -u + 4, -z*q + 20 = -3*u - 2*u for u. -1 Let a = -28 + 18. Let q = a + 15. Solve 5*s = s + b + 4, -5*b = -q*s + 20 for s. 0 Let n(o) = -32*o - 2. Let b be n(-1). Solve l = 5*y - b, -5*l - 3*y - 3 - 7 = 0 for l. -5 Let y be 3 + (-2 - (-1)/1). Suppose -n - 3 = 0, -7*b + 2*b = -y*n - 6. Suppose -5 = 2*p - 3*p. Solve -4*c + 2 = 5*x - 7, -x - p*c + 6 = b for x. 1 Let u be (-4)/(-6) + 80/(-12). Let t(n) = -2*n - 8. Let m be t(u). Let y be 4/18 + (-43)/(-9). Solve c = -5*p - 25, -c = p + m*c + y for p. -5 Let n(d) = 13*d**2 - d - 3. Let r be n(3). Let l = 5 + -3. Suppose 0 = q + 3, -4*o + l*q = -3*q - r. Solve -5*k + g = o, -4 = -2*k + 3*k - g for k. -5 Suppose -4*z + 2*z + 32 = 0. Suppose 4*i - z = 4. Solve -2*g - i*x = -6*g - 7, 5*g - 22 = -4*x for g. 2 Let o be 99/(-5) + 7/(-35). Let n = -14 - o. Suppose -3*h + 5 = -7. Solve -5*v + 9 = 3*c, 2*v + n = h*v for c. -2 Let v = 31 - 21. Let g be (1/(-2))/(v/(-40)). Solve 4*t - 10 = 2*m, -g*m - m - 10 = -t for t. 1 Suppose -2*k + 22 = -4*k. Let r = k - -19. Let m be (15/6 - 2)*r. Solve 4*d - 4*v - 23 = v, 18 = 3*d - m*v for d. 2 Let u(r) = -8*r**3 - 1. Let o be u(1). Let l be 6*(o/6 + 2). Suppose -l*j + 91 = 28. Solve 5*s = 2*z + j, -4*s + 2*s = 5*z + 9 for s. 3 Let d = 9 - -3. Suppose -2*j + j = -d. Let y be (3/(-3))/(-3)*j. Solve -v - 11 = a - 2, 3*a - 8 = y*v for v. -5 Suppose -8*l = m - 4*l - 21, -5*m + 2*l = -17. Solve -4*d + m*b = 0, 2*d + 20 = -3*b - 2 for d. -5 Suppose 0 = -3*f + f - 6. Let y(z) = -z**2 - 3*z + 4. Let j be y(f). Solve 0*s + 18 = -b - j*s, 12 = -4*b - s for b. -2 Suppose -2*c + 13 = 5. Solve 4*v + 8 = -2*a, 2*v + v = c*a + 16 for v. 0 Let h be (-15)/4*(-104)/39. Let x be 3/(-1) + h - 2. Solve -3*d - 15 = -3*z, 0 = -3*d - x*z - 5 + 22 for d. -1 Let c(d) = d**2 + 6*d + 10. Let s be c(-4). Solve -8 = s*k, -4*k - 1 = -o + 12 for o. -3 Let n be (-4 - (-3)/1)*1. Let z = n - -3. Solve -2*h + 2 = z*d - 6, -d - 3*h = -6 for d. 3 Let x(v) = 3*v**2 - 2*v - 1. Let p be x(4). Let a be (-2)/(-13) + 189/p. Solve 7*j + 2*b - 20 = 3*j, a*j + 3*b = 25 for j. 5 Let z be 19/4 + (-2)/(-8). Suppose -3*m = -z*k - 19, -3*k = 5*m - 13 + 4. Let x = 8 + -3. Solve 3*t + m - 1 = x*q, -q + 4 = 3*t for t. 1 Let v(i) = i + 19. Let b be v(-14). Solve -4*x - 3*s - 28 = 0, -x + 4 = 3*x - b*s for x. -4 Suppose -5*o = 2*y - 18, -6 = -4*o + o. Solve -r + 3 = -5*p - 4, 0 = y*r - p - 9 for r. 2 Suppose -4*m + 75 - 11 = 0. Suppose r + 2*r - 24 = -5*y, -y - 3 = -2*r. Solve k - 5*f = 0, -y*f + m = -3*k - 4*f for k. -5 Let y(v) = -3*v + 2*v**2 + 2*v**2 - 5*v + 10 + 4*v**2 - v**3. Let x be y(7). Solve -x*b + 25 = 2*b - 4*d, b = -5*d + 5 for b. 5 Let a be -3*(-4)/(-6)*-1. Let u be 1/(3/225 - 0). Suppose -p + u = a*p. Solve -2*o + 5*x = -4*o - p, -x - 23 = 4*o for o. -5 Suppose 0 = 4*i + 3*w - 11, 5*i - 8*i = -4*w - 27. Solve 2*z = 2*l + 2, i*z + 2*l + l = 5 for z. 1 Suppose -7*g = 4*g - 55. Solve 0 = -b - 4*p - g, -3*b + 7*b + 20 = 3*p for b. -5 Suppose 0 = 3*v - 0*v - 18. Solve v = 2*z + 4*m, -6*z - 5*m = -z for z. -3 Let r(t) = -t**2 + 22*t. Let f be r(22). Solve -h - 4*g = 1, 5*g + 2 = -2*h - f for h. -1 Suppose 2*p = -3*p. Let m be 1/1 - (-1 - p). Suppose 0 = 5*z - 2*s - 8, 13 = 2*z + m*z + 5*s. Solve -8*u = -3*u + z*b + 16, 18 = -4*u + b for u. -4 Let b be (70/56)/(2/8). Solve -5*q + b = -0*g - 5*g, 0 = 5*q for g. -1 Suppose 0 = 6*g - g - 20. Solve -12 = 2*a + 2*b - 4*b, g*b = 3*a + 19 for a. -5 Let v = 2 - -6. Let h(p) = -p + 11. Let n be h(8). Suppose n*g + 5*r - 2 = 7*g, -3*g + 12 = 3*r. Solve v = g*i - 3*q + 4, q = 0 for i. 2 Let z = 34 - 47. Let d = 19 + z. Let h(r) = -r + 9. Let m be h(d). Solve 3*k + m = u - 12, 19 = 5*u - k for u. 3 Let c be (-40)/30*18/(-8). Suppose 0 = -0*z + 5*z + o - 22, -4*z + 8 = -4*o. Solve -c*m = -6*m, -h = -3*m - z for h. 4 Let o(i) = i**3 + 3*i**2 - 2*i - 4. Let d be o(-3). Solve -2*l - 7 = d*c - l, l = -c - 2 for c. -5 Let y(x) = x**3 + 4*x**2 - 6*x - 7. Let v be y(-5). Let r be (-10)/(-4) - v/4. Solve -5*s + 3*d = 16, -s = -r*s - 4*d - 22 for s. -5 Let b = -97 - -97. Solve -5*x + 3*r + 9 + 13 = b, -2*x + 12 = 2*r for x. 5 Suppose 4*d = -3*a, 4*a + 3*d = 1 + 6. Let n = 1 + a. Let g be 3/18*-3*0. Solve -3*j - n = -3*r - r, -3*r - 4*j - 15 = g for r. -1 Let m be (1 - 3)*(-3 + 1)/2. Solve 0 = -4*n - 2*c + 14, 2*n + 8 = m*c + 2*c for n. 2 Let b(g) = 21*g**2 - 1. Let o be b(1). Suppose 10*m + 3*s = 5*m + o, -4*s + 16 = 4*m. Solve 2 = -3*q + m*q, 18 = -4*n - q for n. -5 Let j be 3/(-6)*2*(-4)/2. Solve -j*h + 7*h = 10, -2*h = -5*n + 11 for n. 3 Let r = -81 + 81. Solve r = -4*i - 4*p + 8, 0 = -0*p + 4*p for i. 2 Let f(b) = -b**2 + 8*b - 2. Let l be f(8). Let g = 3 + l. Solve -k - g = -i - 0*i, -k - 3*i + 15 = 0 for k. 3 Let c = 2 + 3. Let y(b) = b**2 + b + 1. Let g be y(2). Suppose 2*k = -3 + g. Solve -4*q - 8 = 8, -k*u = -c*q - 30 for u. 5 Let h = 68 - 64. Solve 0 = 4*i - 4*x - 28, 2*x + 3*x = -h*i + 10 for i. 5 Let u be -2*2/8*-6. Suppose d = u*d. Solve -2*n - 5*j + 4 = d, -n - 4*j + 3 - 1 = 0 for n. 2 Let x(v) = v**2 - 5*v + 6. Let q be x(4). Suppose 8*r - 42 = q*r. Solve 30 = -5*k - 4*o, -3*o = r*k - 2*k + 25 for k. -2 Suppose a - 5*i - 31 = 2*a, -5*i = -a + 9. Let g = a - -13. Solve -3*h = 0, -g*w - 5*h + 20 = 2*w for w. 5 Let m = -6 + -1. Let a = 9 + m. Suppose 7*x - a*x - 20 = 0. Solve 2*o = 4*d - 2, 5*o = x*d - 6*d + 31 for d. 3 Let k = 29 - 27. Solve k - 5 = b - 2*f, f - 24 = -4*b for b. 5 Let k = -26 - -28. Let t be (-36)/(-45)*10/4. Solve 5 = k*h - b, t*h + b + 2*b + 15 = 0 for h. 0 Let c = 2 + -5. Let z(t) = t**3 - 8*t**2 - t + 4. Let o be z(8). Let a be (6 - 2)*c/o. Solve 3*r - 3 = -a*q, 5*r + 32 + 13 = 5*q for q. 5 Let t be 2/4 - 189/14. Let k = t - -22. Suppose -5*x - 4*r + 20 = 0, 5*x - 3*r - k = 11. Solve 2*v = -9*n + 4*n + x, 5*n = 0 for v. 2 Let f be (-18)/(-81) - 4/18. Solve f = 2*s - 5*p + 28, 2 + 6 = -s + p for s. -4 Suppose 4 = 5*d - 16. Solve 5*p = 15, -7*y + d*p - 24 = -3*y for y. -3 Suppose 5 = 5*d, 0 = -2*j - 0*d + 2*d + 44. Let y = j - 9. Let z be (-1 - -2) + y + -5. Solve -5*p = -p - m + 2, p + z = 5*m for p. 0 Let q be 1/(46/115 - 3/(-5)). Solve 0 = -5*i + 2*w + 35, -q - 4 = w for i. 5 Let o be (12/8 - 1)*10. Solve -8*g + 25 = o*t - 4*g, -5*g - 15 = -3*t for t. 5 Suppose -6 = -6*h + 4*h. Suppose 2*l = -h*l. Solve 4*c - 3*b + l*b - 4 = 0, 4*c = -4*b - 24 for c. -2 Let d = 13 - 11. Solve 3*f - 2*h = 13, 3*h + 19 = 3*f - d*h for f. 3 Let d = 79 - 79. Let w be ((-3)/(-2))/(3/4). Solve -3*o - w*u = -4, -5*u + 10 = -d for o. 0 Let f(m) = m**3 + 7*m**2 + 6*m + 3. Let p be f(-6). Let i be (0/(-5) - -28) + -3. Solve p*y + 3*t + 15 = 4*y, 3*y = 4*t + i for y. 3 Let f be (-1)/(-2*1/14). Suppose -4*q = -5*t - 33, 3*t + f = 2*q - 12. Solve 5 + 9 = 5*g + 3*v, 3*v - q = -2*g for g. 4 Suppose -5*t + 2*m = -4*t - 10, -4*t + 3*m + 20 = 0. Suppose 21 = t*q + 3*y + 3, 4*q - 40 = -5*y. Solve -4*o - 3*p + 7 + 3 = 0, -5*o = 5*p - q for o. 1 Suppose -2*f - 17 = 5*d, 3*d = 2*f - 0*f - 23. Let t(c) = -c**2 - 5*c + 4. Let b be t(d). Solve -b*i = 4*y + 20, 0*i + 5 = 3*y - i for y. 0 Let z(x) = x**2 - 12*x - 12. Let q be z(13). Solve
{ "pile_set_name": "DM Mathematics" }
1 + -2 + 0) -2 Evaluate -6 - (-9 - -4 - -1). -2 Evaluate (0 - -3) + 0 + -5. -2 Calculate -4 + 6 + -8 + 6. 0 What is 0 + (8 - 3) + -4? 1 Calculate 0 - (-7 + 5 + 0). 2 What is (-6 - -5) + -7 + -2? -10 1 + 5 + -4 + -3 -1 1 - ((-6 - -2 - 3) + 13) -5 -1 - (-1 - 2) - (2 + 2) -2 -2 + (-8 + 1 - -7) -2 What is -3 + -2 + -1 - (1 - 1)? -6 -1 - -2 - (1 + -4 + 1) 3 Evaluate -5 + (2 + -3 + 1 - 0). -5 Calculate 4 + (-5 - (3 + (-4 - -3))). -3 What is 5 + (-2 - (4 - -1))? -2 Calculate (4 - 1) + -6 + (0 - -4). 1 What is (14 - 6 - 2) + -3 + 3? 6 What is the value of -5 + 17 - (-5 - (-10 - 1))? 6 -1 - (3 - -2 - (4 + -1)) -3 -10 + 12 + (-8 - -1) -5 Calculate 15 - (-2 - (-4 - 7)). 6 What is (-1 - 2) + -17 + 24 + -10? -6 Calculate 3 + (6 + -12 - 1). -4 -2 + -4 + (-4 - -7) -3 (5 - (14 + -10)) + 4 + 0 5 What is -5 - (1 + 2 - 9)? 1 Evaluate 5 + (-9 - (7 - 6)). -5 What is 7 - 16 - ((-1 - -3) + -5)? -6 What is 2 + 2 + -2 + 1? 3 Calculate 1 - -1 - (-4 + -1 + 2). 5 What is the value of 0 + -3 - (10 - -1 - 18)? 4 Calculate (0 - 0) + 3 - (1 - 1). 3 Evaluate -4 + 2 + 0 + 8 + -9. -3 What is the value of 6 - (-2 - -3) - 9? -4 Evaluate 6 + -10 + (-5 - 1) + 6. -4 Evaluate -2 + 4 + -1 - (0 + -4). 5 (-5 - -10) + -5 + 0 0 14 + -17 - (-12 - -2) 7 What is (-37 - -26) + (17 - 1)? 5 Calculate -4 + 9 + -2 + -3 + -2. -2 Evaluate (9 - (4 - (4 + -1))) + -6. 2 What is 7 + -8 - -7 - 9? -3 4 - (2 + (0 - 3)) 5 Evaluate 5 - (-3 + 4 - -1). 3 What is the value of 10 - -8 - 6 - 3? 9 Calculate 11 - (-1 - (5 - 14)). 3 Evaluate -8 - -10 - (9 - 2). -5 Calculate 10 - (7 + 4) - -9. 8 (-4 - -9) + (-3 - (0 + 1)) 1 What is the value of -5 + 1 - (-1 + 5 + -3)? -5 What is the value of -7 + (-5 - -27) - 10? 5 5 - (-7 - -3 - (-4 - 0)) 5 -13 - (-6 + 7 + 1 + -6) -9 Evaluate (7 - (5 + 4)) + 0 + 4. 2 What is the value of 2 - (-8 + (14 - -1))? -5 Calculate -1 - 1 - (24 - 27) - -3. 4 Calculate 2 + 0 + -1 + -2 - -1. 0 What is the value of 4 - (24 - 6 - 7) - -5? -2 What is -1 + -3 - (4 + -6)? -2 What is the value of -4 + (0 - -10) + -14? -8 Calculate -1 + -7 + 1 + -14 + 15. -6 Evaluate 56 + -36 - (8 + 2). 10 What is the value of -5 + -2 + (5 - (3 + 0))? -5 Evaluate -7 - (8 + (-16 - -7)). -6 5 - 0 - (6 - 6) - 3 2 Calculate -9 - -10 - (7 + 0). -6 Calculate -1 + 3 - (-2 - (16 + -20)). 0 What is -1 + -1 + (5 - 3)? 0 Calculate -3 - (2 - (0 + 0)). -5 What is 5 + 4 + 0 + -3 + -3? 3 What is 2 - (4 - -2 - 9)? 5 What is the value of -5 + 4 + 1 + -6 + 2? -4 Evaluate 2 - (-2 - (-9 + 2 + 0)). -3 What is 39 + -43 - (0 - 0)? -4 1 + -13 + 5 + 6 -1 Evaluate (-21 - -8) + 4 + 18. 9 What is (7 - (-6 - -5)) + -5 - 0? 3 What is the value of -1 + (1 - -4) + (7 - 7)? 4 Calculate 2 + -2 - (-5 + 0 + 3). 2 Evaluate 2 + -2 + (0 - -1 - 1). 0 Evaluate 3 - 8 - (4 + 5 + -11). -3 What is the value of (-7 - (-7 - -3)) + 1? -2 What is -16 + 13 + 15 + -6? 6 (-2 - (8 + -16)) + -14 + -2 -10 What is the value of -8 - -2 - (8 + -9)? -5 What is -1 - ((1 - 4) + 4)? -2 What is the value of 0 + (4 - 1) + (1 - 4)? 0 (4 + -8 - -2 - -7) + -4 1 Calculate (25 - 31) + 3 + -7. -10 What is 8 - (8 - 3) - (0 - -1)? 2 What is the value of 2 + 2 - (4 - (3 + -6))? -3 What is -3 + (7 - -4) - 10? -2 Calculate 1 - (-1 - (3 - -1)) - 2. 4 Calculate 9 + -6 - (-2 + (6 - -2)). -3 (6 + -5 - -2) + -8 -5 Evaluate -3 + (0 - (4 - 3)). -4 Evaluate 1 - 5 - (-3 + 1). -2 What is -5 - (-3 + 8 - 6)? -4 What is (-12 + 10 - (2 + 0)) + 2? -2 Calculate (6 - -3) + (-38 - -25). -4 What is the value of 0 + -20 + 10 - -3? -7 What is the value of 4 + 2 + 1 - 12? -5 Calculate 19 + -10 - (-5 + (16 - 5)). 3 3 + (5 + -1 - (-26 + 38)) -5 What is the value of 0 - (-9 + 6 - -4) - 5? -6 What is the value of 4 + 4 + -9 + 6? 5 Calculate 2 + -2 + 11 + -5 + -4. 2 (4 - (3 + 4 - -2)) + -1 -6 Calculate 5 + (2 - 0) + -8 - 0. -1 Evaluate -1 - 1 - 5 - -2. -5 Calculate -7 + 1 + (-1 - (2 - 7)). -2 Evaluate (-3 - -6) + -6 + 1 + 0. -2 0 + (6 - 1) - (27 - 23) 1 What is the value of -2 + (-1 - 0) + -1 + 2? -2 Calculate (3 - (0 - -3)) + (-2 - 0). -2 Evaluate (-3 - -7 - -2) + 6 + -10. 2 What is (4 - -3) + -3 - 2? 2 Evaluate 2 + (3 - ((1 - 3) + 4)). 3 -8 + (1 - -1 - (-64 - -69)) -11 What is (-3 - 9) + -3 + 7? -8 What is -1 - (-6 - (-1 + 1))? 5 What is the value of -3 + 0 + 5 + -4 - 3? -5 What is -9 + 2 + -2 + 5 - -3? -1 What is -8 + 1 + 3 + (-4 - -8)? 0 What is the value of -14 + (0 - -10 - (-6 - -9))? -7 Calculate 8 + -2 - (4 - 22 - -25). -1 What is -11 - ((-3 - -9) + -12)? -5 Evaluate -4 - (3 + -1 + -9). 3 Evaluate -7 + 16 + 3 + -9 + 3. 6 Calculate -1 - (-4 - (8 - 3)). 8 Calculate -2 + 11 + -6 + -9 + -2. -8 What is the value of 2 + (0 - 3) - -2? 1 Evaluate 5 + -4 + -5 + 2. -2 Calculate 3 + (-5 - (0 - 1)). -1 Calculate 109 + -102 + 1 + (-6 - -1). 3 What is the value of 6 + (-4 - 1) - -4? 5 Evaluate -3 - (12 + -10 - (-1 - -5)). -1 What is the value of 3 - (-5 + 9) - (-8 + 2)? 5 Evaluate -13 + (-12 - -18) - (-2 + 1). -6 1 + 1 + (-4 - (0 + -4)) 2 What is (1 - 0) + (-25 - -21)? -3 1 + -8 + 6 + 0 + 1 0 Calculate 6 - (16 - 6) - (1 + 0). -5 Calculate (6 - (1 + 2) - 10) + 2. -5 Calculate ((4 - 5) + 5 - 1) + 2. 5 What is the value of 6 - ((-8 + 7 - 4) + 7)? 4 Calculate -4 - (4 - -1 - 6). -3 Calculate (5 - -6 - 5) + 0 + -14. -8 What is the value of -2 - (-3 + 0 + -1 + -1)? 3 Calculate 0 + -12 + 13 + (0 - 1). 0 Calculate (-2 - -7) + (0 - 6). -1 What is the value of 5 - (1 + 3 - 4) - 3? 2 Calculate 1 + (5 - -5 - (8 + -2)). 5 What is the value of -6 - (2 - -6 - 7)? -7 Evaluate -3 + 8 + -9 + 3. -1 What is the value of 3 - 5 - (-7 + (4 - -9))? -8 -3 + 2 + (-2 + 1 - -2) 0 What is the value of -3 - (-1 - (-2 - 1) - 3)? -2 What is (-1 + 3 - (6 + -4)) + -3? -3 What is (1 - 1) + (9 - 5) + 0? 4 What is 9 - (24 + 9 + -18)? -6 What is 24 + -29 + (1 - -10)? 6 Evaluate 6 - (-1 - 4 - -12). -1 What is the value of -8 + 5 + -4 + 1 + 4? -2 What is the value of 11 - (9 + 0 + 4)? -2 (-1 - -3) + 1 + (-6 - -6) 3 What is the value of (-5 - -8) + (-5 - -2) + -6? -6 Evaluate 2 + 2 + -4 + 2 + -3. -1 What is -6 - (-1 - 5) - 4? -4 Calculate 3 + -14 + 8 + 10. 7 What is the value of 5 + 1 - (1 + 4 - 2)? 3 What is (0 - -2) + -11 + 11 + 3? 5 What is (1 - -4 - 4 - 1) + -1? -1 (3 - (11 - 4)) + 9 5 Evaluate (4 + 0 - 3) + -6. -5 7 + (4 - 0 - 7) 4 What is the value of -3 - (0 - -2 - 1)? -4 Evaluate -12 + -2 - (-3 + -2). -9 Calculate 4 + -4 + -2 + (3 - 2). -1 What is (0 - 5 - (-37 - -27)) + -2? 3 What is -2 - (-1 + 4 - (-3 + 4))? -4 Calculate 1 + -14 + (-103 - -107). -9 Evaluate -9 + 7 + 9 - (18 - 1). -10 -10 - (-2 - 5) - (-2 + 6) -7 What is the value of 4 - 2 - 3 - (-19 + 12)? 6 Evaluate -3 - (4 + -6 + -2 - -2). -1 Calculate (7 - 2) + (-7 - 2). -4 Calculate (17 + -3 - 13) + (-4 - 1). -4 What is 0 + -4 + (2 - -5)? 3 Evaluate -6 + -1 + 1 + 6 + -2. -2 Calculate 9 - (5 - 1) - 2. 3 -6 - (-4 - -1 - -3 - 1) -5 -3 + 7 + (-7 - -3) 0 Calculate (57 - 55) + (-2 - -7). 7 Calculate 2 - (-1 - (2 - 6)). -1 Calculate 5 + (6 - (4 - -2)). 5 -1 - -7 - (31 + -14 - 2) -9 Calculate (2 - -2) + -3 - -3. 4 Evaluate 64 - 67 - (-6 + 2 + -1). 2 What is 0 + (5 - -1 - 13) + 3? -4 What is the value of -11 + (16 - (21 + -7))? -9 What is (-1 - 0 - (-5 + 2)) + -3? -1 Calculate 24 + -13 - (0 - -3). 8 What is -5 - (2 + -1) - (-156 + 145)? 5 (1 - (9 + -4)) + 9 5 Calculate 2 + (5 - ((6 - -1) + -2)). 2 Evaluate (-7 - -1) + 3 + -11 + 11. -3 Calculate -4 + -4 + 1 - -4. -3 What is the value of (-14 - (5 + -10)) + 10? 1 Calculate (3 - 4) + (-1 - -1) + -4. -5 (2 - (-7 - -5 - -9)) + 6 1 -4 - (11 + -13) - 5 -7 Evaluate 5 + -1 - (-1 - -6 - 6). 5 What is 38 + -31 + (-3 + 5 - 5)? 4 Calculate -4 + 0 + 4 + 7 + -11. -4 What is -2 + -3 + 6 + -4 + 5? 2 What is (5 - 0) + 1 - (8 - 4)? 2 Calculate (3 - (3 + -2)) + (0 - 7). -5 1 + 15 + (-1 - (12 - 5)) 8 Evaluate -4 - (3 + -4 + -3 + 5). -5 -9 - (10 - 27) - 4 4 What is the value of (-13 - (6 - 12)) + 13? 6 Evaluate -2 + -2 - (27 - 23). -8 What is 8 + -18 + 4 + 3 + -3? -6 (4 + 1 - 10) + 0 + 11 6 What is -3 - (2 + -7 - (-1 - 1))? 0 (5 - 2 - 5) + -2 -4 Calculate 4 - (11 - (4 - -2) - 0). -1 5 + (-5 - -8) + -1 - 2 5 Evaluate 4 + -12 + 4 + 1. -3 -4 + -1 + (9 - 0) 4 What is the value of (90 - 84) + (2 + 0 - 4)? 4 Evaluate -2 + (17 - 5 - (-2 - -5)). 7 What is 1 + (-5 - 0) - -3? -1 Calculate 7 + (4 - 0 - 16). -5 Calculate (-2 - 4) + -12 + 14. -4 What is the value of 7 - -2 - (-1 + 5)? 5
{ "pile_set_name": "DM Mathematics" }
? 78 Which is greater: -902767/9 or -100307? -100307 Which is greater: -0.8 or 41906? 41906 Do -86633 and -86634 have different values? True Is -1/176 at least as big as 154? False Which is greater: -20.2 or -1? -1 Which is greater: 627/706 or 1? 1 Is 1 >= -23614? True Is 892/87 less than or equal to 9? False Which is greater: 21256 or 21255? 21256 Are -7133/856 and -9 equal? False Which is smaller: -5/461 or 2/67? -5/461 Which is smaller: 436507 or 436511? 436507 Is -2244 at most -17951/8? True Is 4 <= -9437/3? False Is -15058 smaller than 3? True Which is smaller: 6010 or 6009? 6009 Which is bigger: -199698 or -199697? -199697 Is 161 smaller than 206? True Is 133346/17 < 7844? True Is -1 > -118/5565? False Is 1 at most as big as -36/244211? False Is -2493159 > -2493159? False Which is smaller: -217406/5 or 0? -217406/5 Is -5205603 at least as big as -5205604? True Is -13 at most as big as -54371? False Is 7922/279 not equal to 28? True Which is smaller: -60/1129 or 80? -60/1129 Is 1370/33 equal to 41? False Is -27431/24 at most as big as -1144? False Which is bigger: 0.33 or -70.85? 0.33 Which is smaller: -1.69 or -1/33? -1.69 Which is smaller: -1585 or -1477? -1585 Is -1167 at least -1278? True Is -1234142 < -1234142? False Is 59/131 at most 2/9? False Is 1/1135 at most as big as 31? True Which is smaller: -401 or -594? -594 Which is smaller: 3 or -29101? -29101 Which is smaller: 10/11 or -2934? -2934 Which is smaller: -42 or -50? -50 Do -1693105 and -1693105 have different values? False Which is greater: 4/61 or 0.189? 0.189 Which is bigger: 71477/6 or 11914? 11914 Which is smaller: -497 or -498? -498 Is -664 at least -699? True Which is greater: -4760 or -4493? -4493 Which is bigger: -18576 or -18578? -18576 Which is smaller: -1/2730 or -1971? -1971 Which is smaller: -2483 or -2484? -2484 Which is smaller: -308/5273 or 0? -308/5273 Which is greater: 1674 or -18? 1674 Which is smaller: -38 or -994/27? -38 Do 79797 and 79794 have the same value? False Are -314602 and -314597 nonequal? True Is 0 equal to 11846? False Is -252574 < -1768013/7? True Which is smaller: -0.15 or -10329? -10329 Which is greater: -1 or 1/230901? 1/230901 Which is greater: 80105 or 80100? 80105 Is 0 > 119/1934? False Which is smaller: -204081 or -204080? -204081 Is -2/37 greater than 31/4298? False Which is smaller: -2971 or -2806? -2971 Do -128104 and -128105 have different values? True Is -3485 less than or equal to -1? True Is 3473 != 3468? True Is -267 equal to 1/13? False Which is smaller: -1 or -9062? -9062 Which is smaller: 489 or 9769/20? 9769/20 Do -5093711/3 and -1697903 have the same value? False Which is bigger: 52148/9 or 5794? 52148/9 Which is smaller: 297/8 or 9? 9 Is 0 smaller than -2374/1125? False Which is smaller: -3/2 or 6133? -3/2 Is 19510 smaller than -5/4? False Which is smaller: 22 or 1335/64? 1335/64 Is -155242 at most -155245? False Does -1697 = -1491? False Which is smaller: -2/11 or -15675? -15675 Which is greater: 5 or -63425? 5 Is -239674 <= -239675? False Which is greater: 4 or -1/331284? 4 Does 19010 = 3? False Which is smaller: -25/3 or -0.0071? -25/3 Are 225731 and 1/4 nonequal? True Which is bigger: -1 or -26/1613? -26/1613 Are -569 and -37 equal? False Which is smaller: -630/20101 or 1? -630/20101 Are 1/647633 and 0 nonequal? True Which is greater: -16/67395 or 0? 0 Are -56 and 557 equal? False Which is smaller: -2248/5 or 2/5? -2248/5 Which is smaller: -3107 or -3/7? -3107 Is -0.2 != 171164? True Which is bigger: 4 or -9245? 4 Is -146 less than or equal to -1616/11? False Is 1319784 at least 1319783? True Which is greater: 5858707 or 5858708? 5858708 Which is greater: -6151/345 or -18? -6151/345 Which is smaller: -47 or -0.0861? -47 Which is bigger: -1 or -1/226111? -1/226111 Is -1 not equal to -2/36661? True Is -8542 at least -8521? False Is -6887 at least -1? False Is 276 <= 3574/13? False Which is bigger: -545 or 379.1? 379.1 Are 14356827 and 14356827 equal? True Which is greater: 38/169 or 0.027? 38/169 Is 38 less than or equal to 492? True Which is bigger: -504156/5 or -100831? -100831 Do 8716/57 and 154 have different values? True Are -83051 and -83051 unequal? False Which is smaller: 1328644 or 1328648? 1328644 Which is bigger: -12392 or -161078/13? -161078/13 Which is smaller: -266 or 954? -266 Is -113427 greater than 1? False Which is smaller: -979553 or -979551? -979553 Is 236 > 2/17? True Which is greater: -503 or -1198? -503 Is 2 less than or equal to 213/77? True Which is greater: 79 or -84/13? 79 Which is greater: -214975 or -214973? -214973 Which is bigger: 1 or 426/1951? 1 Is 654 smaller than 605? False Is -2223 greater than -2150? False Which is smaller: -852 or -845? -852 Which is bigger: -1 or -82/1461? -82/1461 Which is greater: 1486233 or 1486232? 1486233 Which is bigger: -188081 or -188074? -188074 Which is smaller: -87/2753 or 1? -87/2753 Do 1299839 and 1299838 have the same value? False Is -0.2 less than -22473? False Does -711 = -722? False Is -2 at most -120/151? True Which is smaller: -9281.07 or 1? -9281.07 Is 917575 at least as big as 917576? False Which is smaller: 1 or -4/257571? -4/257571 Which is smaller: -2048886 or -2048887? -2048887 Which is smaller: 0 or -2/144371? -2/144371 Are -470 and -1 equal? False Is -252 greater than -3? False Is 936685 greater than 936684? True Are 207/3497 and 0 non-equal? True Are -1036 and -923 non-equal? True Are 758/77 and 11 non-equal? True Which is smaller: 210 or 418? 210 Which is smaller: -1.52 or -7? -7 Is -1 less than or equal to 4/261? True Is -57528/43 greater than or equal to -1339? True Is 26/6209 < -1? False Is -1139 > -30? False Does -10902 = -10879? False Is -2592 at most as big as -2595? False Which is smaller: 156 or 236? 156 Which is greater: 245343 or -11? 245343 Which is bigger: 1551/710 or 2? 1551/710 Do 221/522 and 1 have the same value? False Is -943097 smaller than -943095? True Is -811.09 smaller than -1/2? True Which is smaller: 0 or 5/696428? 0 Is 41344 not equal to 41314? True Which is smaller: -9439 or -9427? -9439 Is -0.096351 < 1? True Is -65983/3 less than or equal to -21995? False Which is smaller: 2086 or 2066? 2066 Which is smaller: -2586/43 or -59? -2586/43 Which is greater: -4 or 1200346? 1200346 Does 567 = 67? False Are -1 and -39635 equal? False Are -17811 and -1/6 non-equal? True Which is smaller: 13614/53 or 257? 13614/53 Which is smaller: -2351/13 or -181? -181 Which is greater: -109 or -4500/41? -109 Do 29 and 4566/155 have the same value? False Are -1 and -1/2602664 equal? False Which is greater: -31 or 2879? 2879 Which is bigger: 1894/459 or 4? 1894/459 Is 12969 < 12990? True Which is greater: 21/31975 or 1? 1 Which is smaller: 7 or -4678? -4678 Is 57109 >= 57109? True Which is smaller: -194843 or -194842? -194843 Is 106185 at most as big as 106185? True Which is greater: -13466 or -13468? -13466 Which is smaller: 2 or -0.076731? -0.076731 Do -642729 and -642729 have different values? False Which is smaller: 209/7 or 4/11? 4/11 Which is smaller: 0 or 6/128075? 0 Is 297767 at most 297767? True Which is smaller: 0 or 303848? 0 Is -677 at least as big as -687? True Is -271 < -5162/19? False Is 12923 greater than 38767/3? True Which is smaller: -2/65 or 251? -2/65 Is 11/240483 at least as big as 1? False Which is bigger: 0 or 20/141801? 20/141801 Which is bigger: 10929 or 0.2? 10929 Is 2/1533753 at most -1? False Is 3185 less than 3179? False Is -1646 >= -1656? True Which is smaller: 372 or -523? -523 Is -6.6 at most as big as -5582/7? False Do -734/1625 and 0 have the same value? False Is 14/134469 > -1? True Is -9 greater than -2877? True Do 73 and -763 have different values? True Is 41415 less than 41417? True Do -16 and -2136/137 have the same value? False Is -18140 at most -308400/17? False Which is smaller: 1444 or 77947/54? 77947/54 Which is smaller: -52/202755 or 1? -52/202755 Are -1/4 and -2663 non-equal? True Is 3/234179 bigger than 1? False Is -6981 less than -6965? True Which is smaller: -90/379 or 1? -90/379 Which is greater: -21975 or -21968? -21968 Is 302/549 less than 1? True Is -310222/13 >= -23862? False Which is greater: 0 or 795/9836? 795/9836 Which is smaller: 1193 or 1202? 1193 Which is smaller: -898
{ "pile_set_name": "DM Mathematics" }
2.7? 47850.7 Put together 0.593 and 26. 26.593 Calculate -3.8 + -0.04217. -3.84217 What is -0.5 take away -2.759878? 2.259878 14.153+-5 9.153 Sum -4592 and 0. -4592 What is 24 plus 234? 258 What is 0.13586 take away 0.8? -0.66414 What is -1 minus 25.4? -26.4 Subtract 3 from -2734. -2737 Put together 0.3 and 2.037773. 2.337773 Total of -408.5 and 0.3. -408.2 Subtract -25.371 from -0.07. 25.301 Calculate 3521.01 - -3. 3524.01 What is the difference between -4 and 1.05? 5.05 Calculate 372 - -20058. 20430 What is -186221.5 plus 0.3? -186221.2 What is 173805 + -0.1? 173804.9 Subtract 19323 from -0.0435. -19323.0435 Work out 0.02 - 2.94. -2.92 What is -2 minus -0.0566? -1.9434 What is 0.98 - 0.11? 0.87 Calculate 1.137143 + 0.5. 1.637143 What is 6085 less than 0.1? -6084.9 What is the difference between 2 and -4500? 4502 Total of -416.6 and 0.1. -416.5 What is 106371 less than -3? -106374 What is 15.9 - 480? -464.1 Calculate 61.78 - 0.0223. 61.7577 What is 3 plus 8? 11 What is 135.9 minus -0.5? 136.4 108 - 59 49 5222 + -2 5220 What is -0.05 - -12538? 12537.95 Work out -1 - -0.16246. -0.83754 -1031 - -0.01 -1030.99 Add -0.35 and 0.00658. -0.34342 What is -0.5 plus 1.75? 1.25 What is -1.9 + 464? 462.1 0.1 + 368 368.1 1.599 + 0.5 2.099 Put together 0.1 and -36214. -36213.9 What is 0.04 less than -227.6? -227.64 Subtract -8 from 44511. 44519 What is 5 take away -503964? 503969 Calculate 294.5 - 0.41. 294.09 What is -2.6 minus 27085? -27087.6 0.2 + -366 -365.8 What is 52.174 plus 0.2? 52.374 What is the distance between -21.823 and -2? 19.823 0.04+-108 -107.96 Calculate 267.4 + 11. 278.4 What is -0.06 plus -535.3? -535.36 What is -19 less than -17.725? 1.275 Subtract 122.84 from 0.129. -122.711 What is 10290.6 plus -0.1? 10290.5 Calculate -214.7 - -3309. 3094.3 -0.2 + -0.027621 -0.227621 Subtract 23.0584 from 0.1. -22.9584 What is 3 minus -1450.16? 1453.16 What is 0.1 plus 1501? 1501.1 What is the distance between -6575 and 0.1? 6575.1 What is 7.3 minus 0.0854? 7.2146 What is the difference between -0.27 and 30? 30.27 Sum -35.29 and 67. 31.71 What is -53754 + -4? -53758 Work out 16614 + -0.04. 16613.96 Total of -1847 and -0.064. -1847.064 Sum 209 and -0.9. 208.1 What is -656777 - 0.3? -656777.3 What is 5 minus 1566? -1561 Subtract -1.26 from -2. -0.74 What is the difference between -0.1 and 1010574? 1010574.1 What is -0.2 take away 78? -78.2 What is 1137 less than 3? -1134 Total of -0.7 and 401161. 401160.3 Add together -629010 and 14. -628996 Calculate -1497213 + -0.5. -1497213.5 Sum 29 and 5. 34 Subtract 0.01607 from -103.2. -103.21607 0.0067+166.33 166.3367 Work out -3 - -0.079071. -2.920929 Work out -0.308 - 19. -19.308 Calculate 37.7 + -0.07. 37.63 -0.4+-45298 -45298.4 Work out -1766798 - 0.1. -1766798.1 Subtract 0.4 from -11.41. -11.81 Work out 0.3806 - -2. 2.3806 Add together -220 and 19.67. -200.33 Work out 0.055 - -626. 626.055 Work out 92395 + 0.4. 92395.4 What is the difference between -7 and -4.32? 2.68 What is 0 take away 5.682? -5.682 -0.4 - -0.03538 -0.36462 2153247 - -0.3 2153247.3 Work out 0.3 - -744. 744.3 Work out 14 + 0.167755. 14.167755 Calculate 60138.7 - 0.1. 60138.6 808.85+-0.21 808.64 What is the difference between 6.1131 and 2? 4.1131 Total of 4.1 and -2.62. 1.48 What is the difference between 2 and -31563.9? 31565.9 Add -7 and -11.4373. -18.4373 Subtract 311 from -0.028. -311.028 Total of -0.0437 and 55. 54.9563 What is -6.3 minus 2.5884? -8.8884 -206 + 0.237 -205.763 What is the difference between -0.0848 and -2? 1.9152 What is -0.035 less than 0.66? 0.695 What is -6 take away -442? 436 Work out 2 + 0.0156. 2.0156 What is 439 plus -1.1? 437.9 What is -0.3 plus -24.042? -24.342 Work out -3989 + 0.08. -3988.92 Work out 0.1 - -0.0952. 0.1952 Work out 22.82 - 0.035. 22.785 What is -95851 plus 5? -95846 Work out 2 + 7.2639. 9.2639 What is the distance between 2.5 and -0.905? 3.405 What is 2428 plus 0.8? 2428.8 What is 5 - 815119? -815114 Subtract 2 from 0.1686878. -1.8313122 Subtract 2.83 from -0.426. -3.256 What is the distance between 12346 and -75? 12421 Add 0.10182 and 4. 4.10182 What is 301 + -0.5? 300.5 Subtract 8462 from 0.5. -8461.5 Work out 164509 - -0.4. 164509.4 Add together 1763 and 49.31. 1812.31 Work out 0.1 + 0.855866. 0.955866 What is the difference between -0.34 and 9969? 9969.34 What is -2 plus 50045? 50043 Work out 45.7 - 8. 37.7 Sum 0.0376 and -29.67. -29.6324 158013 - 3 158010 What is -160.2 minus -2? -158.2 Add together -8 and 0.77677. -7.22323 7.49 - 4.81 2.68 -1.1244 - 0.15 -1.2744 What is the distance between -0.22 and 5.92? 6.14 What is 0 less than 270416? 270416 Total of -21 and 852.27. 831.27 3 - 9531.44 -9528.44 Calculate 756.62 - 0.04. 756.58 What is -2 take away -14354? 14352 Calculate -8407 - -1. -8406 -0.3 + -47 -47.3 Calculate 12664 - -0.02. 12664.02 What is 828 plus -0.5? 827.5 -11622.48 - -1 -11621.48 Add 21131 and 28. 21159 4 + -1551 -1547 Add together -18.6 and 242. 223.4 What is 196320 minus -0.2? 196320.2 Calculate -0.4 + 0.4792. 0.0792 Add 0.0233 and 34.6. 34.6233 24.83+0.04 24.87 Calculate 2.94 + 2.5817. 5.5217 Add together -2770 and -16. -2786 Add 0.2577 and 11.2. 11.4577 What is 0.1269 - -0.01? 0.1369 Put together -2.70179 and -5. -7.70179 What is -2 minus -1249? 1247 Subtract -2 from -27.708. -25.708 Work out -187.7 - 378. -565.7 Subtract 334290 from -0.4. -334290.4 What is the difference between -706 and 7? 713 Sum 0.055 and 23.84. 23.895 Add 23070 and 0.5. 23070.5 What is 19519 take away 12? 19507 What is 0.4 take away 824? -823.6 What is 0.18 take away 0.12? 0.06 Calculate -17 - 5.23. -22.23 Work out -26485.9 - -0.1. -26485.8 Sum 0.10862 and 1. 1.10862 What is the difference between -0.1 and -37758? 37757.9 1384+-6.6 1377.4 What is -0.341 less than -0.131? 0.21 Add 3061 and 2. 3063 Add 0.4 and 791. 791.4 Calculate 10 - 8587. -8577 What is 0.032 take away -2852.9? 2852.932 1+-50460 -50459 Sum 0.274 and -0.053. 0.221 1449 - -2 1451 Total of 4288656 and 0.3. 4288656.3 Subtract 124.81 from 192. 67.19 -1.02 + -17 -18.02 What is the difference between 684699 and -0.5? 684699.5 Sum -0.09 and 0.08. -0.01 What is 0.0413 minus 0.4? -0.3587 What is 230.9107 minus -0.4? 231.3107 Calculate 3 - 0.06008. 2.93992 Sum -15 and -2229. -2244 What is -0.1 + 5273? 5272.9 Calculate -36 - -2363. 2327 What is -964 take away -19? -945 Work out 22 + 1.6. 23.6 What is the distance between 0.013 and 15992? 15991.987 -36 - 1.217 -37.217 -3937.53 - -0.5 -3937.03 Calculate 660 + -0.3522. 659.6478 What is -0.07471 plus -14.3? -14.37471 Work out -203.142 + 0.5. -202.642 Put together -2668 and 1. -2667 Calculate -2.77 - -0.258. -2.512 What is -0.3 + -4596? -4596.3 What is 0.04144 minus -2? 2.04144 Add 35.3563 and 6. 41.3563 5.47+-2.09 3.38 What is 17.491 - -10? 27.491 What is the difference between 0.07282 and -5? 5.07282 Total of -2 and -0.57. -2.57 Add 0.75 and 0.865. 1.615 Calculate 119 + -5.69. 113.31 What is -0.2 minus -92? 91.8 2 - 1135 -1133 Work out -0.030248 + 4. 3.969752 Calculate 10922.9 - 5.5. 10917.4 What is the difference between 735 and -797? 1532 Subtract -178.5 from 5. 183.5 What is the difference between 1259093 and -0.1? 1259093.1 What is the distance between -2.73 and 2? 4.73 Work out -453 + -0.2. -453.2 What is the distance between -39.26 and 26? 65.26 What is -285.09 take away -14.3? -270.79 What is the difference between -2 and 9.728? 11.728 -0.3 - -3561.8 3561.5 What is -2490 minus 153? -2643 What is the distance between 1.19 and 0.24? 0.95 155 - -114 269 What is -3849272 plus 4? -3849268 Sum 35 and -0.02482. 34.97518 Calculate -5564 + 0.5. -5563.5 Work out -0.045 - -111. 110.955 What is -168 - 237.5? -405.5 0.9+-114.8357 -113.9357 What is 51 + 0.08211? 51.08211 What is 0.36 + -0.322? 0.038 Calculate -0.088 + -19. -19.088 -3 + -2792 -2795 1837 - -2 1839 Calculate 8 - -27.4. 35.4 Total of 1.18 and -601. -599.82 -0.019998 - -1 0.980002 What is the distance between -0.2 and 12.446? 12.646 Sum 21107 and -0.5. 21106.5 What is -1 - 424? -425 What is 5 minus 914? -909 Calculate -0.07 - 411. -411.07 Work out -1.6 + -0.15286. -1.75286 Total of 7 and -664. -657 What is 0.121 - 735? -734.879 Sum -0.020415 and 0.21. 0.189585 Add together 1222485 and 5. 1222490 What is -0.2 minus -14187? 14186.8 Work out
{ "pile_set_name": "DM Mathematics" }
3 and 2642562. 23 What is the highest common factor of 1664 and 9983168? 832 Calculate the highest common factor of 1215076 and 2390. 478 What is the greatest common factor of 648 and 29212704? 216 Calculate the greatest common divisor of 2655228 and 6. 6 What is the greatest common divisor of 31995 and 7452? 81 What is the highest common factor of 2200 and 6149880? 440 Calculate the greatest common divisor of 90707684 and 6948. 772 What is the greatest common factor of 237991824 and 224? 112 What is the highest common factor of 384974575 and 1150? 575 What is the greatest common factor of 3913 and 1039504102? 3913 What is the highest common divisor of 55 and 380479? 11 What is the highest common factor of 72815600 and 30800? 4400 What is the highest common divisor of 166830144 and 832? 832 What is the greatest common factor of 148 and 3492504? 148 What is the greatest common divisor of 5940 and 277736580? 5940 Calculate the greatest common divisor of 31605 and 57495. 15 Calculate the highest common factor of 998 and 1126930123. 499 Calculate the highest common divisor of 308037 and 39. 3 What is the highest common divisor of 1067 and 262009? 11 What is the greatest common divisor of 9219138 and 1552386? 3282 Calculate the greatest common factor of 9904 and 240137336. 4952 Calculate the highest common divisor of 17513 and 168573. 83 What is the highest common divisor of 3869 and 512971? 73 Calculate the greatest common divisor of 69795 and 16464. 3 Calculate the highest common divisor of 23767478 and 14. 14 What is the greatest common divisor of 207700 and 510674? 134 What is the greatest common divisor of 310349662 and 43? 43 Calculate the greatest common divisor of 1808716 and 346164. 364 Calculate the greatest common divisor of 2815752 and 48. 24 Calculate the greatest common divisor of 1008200 and 199865. 355 Calculate the highest common divisor of 22141 and 23099. 1 What is the greatest common factor of 22341536 and 5984? 544 What is the greatest common divisor of 420 and 31548930? 210 Calculate the greatest common divisor of 87333 and 1204383. 2031 Calculate the highest common factor of 128918882 and 5646. 1882 What is the highest common factor of 43 and 42106? 1 What is the highest common factor of 34377536 and 21964? 1292 Calculate the highest common factor of 496913120 and 33. 11 Calculate the greatest common divisor of 11555274 and 306. 102 Calculate the greatest common factor of 666870638 and 2324. 1162 Calculate the highest common factor of 3880 and 5628910. 970 Calculate the greatest common factor of 278744037 and 3171. 453 What is the highest common factor of 22 and 33758021? 11 What is the highest common divisor of 319 and 497365? 11 Calculate the highest common divisor of 5937 and 219. 3 Calculate the greatest common factor of 2028 and 886860. 156 Calculate the highest common divisor of 3996 and 8013276. 108 Calculate the greatest common factor of 22547 and 108584. 7 Calculate the highest common factor of 149831463 and 3441. 3441 Calculate the greatest common factor of 118910 and 129052. 22 What is the greatest common divisor of 689 and 593344063? 689 Calculate the greatest common divisor of 4638912 and 72. 24 What is the greatest common factor of 4520 and 316061? 113 Calculate the highest common factor of 18 and 57889656. 18 Calculate the greatest common divisor of 4869355 and 3925. 785 Calculate the greatest common factor of 31938277 and 21. 7 What is the highest common factor of 1426935237 and 413? 413 What is the highest common divisor of 37 and 114933618? 37 Calculate the highest common factor of 120 and 204043200. 120 Calculate the highest common divisor of 14200128 and 142848. 576 Calculate the highest common divisor of 18127268 and 1112. 556 What is the highest common factor of 94928 and 3592257? 349 What is the greatest common factor of 150273 and 75933? 531 Calculate the highest common factor of 31201573 and 842. 421 Calculate the greatest common divisor of 5162929 and 632243. 2333 What is the greatest common factor of 4750 and 28672900? 950 What is the highest common divisor of 1095098 and 26051? 239 Calculate the highest common divisor of 18444420 and 3096. 1548 Calculate the highest common factor of 345 and 11520. 15 Calculate the highest common factor of 20 and 64849735. 5 Calculate the highest common factor of 11926400 and 12800. 3200 Calculate the highest common divisor of 518201 and 2566181. 3103 What is the greatest common factor of 1903099 and 35717? 187 What is the greatest common factor of 30797910 and 910? 130 What is the highest common factor of 1226940 and 224796? 1716 What is the highest common divisor of 9 and 23939313? 3 Calculate the highest common factor of 24584 and 2380. 28 What is the greatest common factor of 15930 and 4124100? 1770 Calculate the highest common factor of 5807749 and 64904. 1159 What is the greatest common divisor of 862113 and 6741? 21 Calculate the greatest common divisor of 32 and 11599872. 32 What is the greatest common divisor of 4950958 and 5455? 1091 What is the highest common factor of 1 and 7979718? 1 Calculate the greatest common factor of 6925824 and 27378. 162 What is the greatest common factor of 48891425 and 517? 11 What is the greatest common divisor of 416 and 275509? 13 Calculate the highest common divisor of 76 and 16031003. 19 What is the highest common divisor of 3113 and 18411131? 283 Calculate the greatest common divisor of 7804130 and 3197. 23 Calculate the greatest common divisor of 1135193 and 2717. 19 Calculate the greatest common divisor of 804 and 294665330. 134 Calculate the greatest common divisor of 2541 and 90237. 21 Calculate the highest common divisor of 343676760 and 40. 40 What is the highest common divisor of 1867174 and 15964? 614 Calculate the greatest common factor of 200 and 121186280. 40 What is the greatest common divisor of 6037498 and 5611? 31 What is the highest common divisor of 228580792 and 304? 152 Calculate the highest common factor of 12 and 788967252. 12 What is the highest common factor of 2198870 and 1006354? 2698 What is the greatest common divisor of 5157 and 158274? 27 Calculate the highest common divisor of 3151476 and 146. 2 What is the highest common divisor of 7821639 and 144? 9 What is the greatest common factor of 951368 and 3960? 88 Calculate the highest common divisor of 7189 and 219401. 91 Calculate the highest common divisor of 61 and 38434758. 61 Calculate the greatest common factor of 113706288 and 36. 36 Calculate the highest common divisor of 11508 and 52463739. 411 What is the greatest common divisor of 7533 and 9108234? 837 Calculate the greatest common factor of 2289517416 and 72. 72 What is the greatest common factor of 755205 and 4125? 165 Calculate the greatest common divisor of 154303 and 919. 1 What is the greatest common divisor of 9067081 and 53? 53 What is the greatest common factor of 7760961 and 468? 117 What is the highest common divisor of 6527078 and 46? 46 What is the greatest common divisor of 346658236 and 452? 452 What is the highest common factor of 3128 and 2069444? 68 What is the greatest common factor of 1268414 and 33614? 686 Calculate the greatest common factor of 5913 and 8122637. 73 What is the highest common factor of 10777894 and 393? 131 Calculate the greatest common factor of 48 and 105334932. 12 What is the highest common divisor of 1037704 and 8360? 152 Calculate the highest common divisor of 142264 and 6184. 8 What is the greatest common divisor of 90389 and 268073? 221 What is the greatest common divisor of 692 and 6833900? 4 What is the highest common factor of 25816 and 4398184? 56 What is the greatest common divisor of 11681536 and 368? 16 What is the greatest common divisor of 3225 and 726055? 215 Calculate the highest common factor of 11 and 23637559. 11 Calculate the highest common divisor of 10127390 and 910. 910 What is the highest common factor of 473120 and 220? 20 What is the highest common factor of 20271914 and 234? 26 Calculate the highest common divisor of 81546363 and 846. 423 What is the greatest common factor of 2071 and 309567? 19 Calculate the greatest common divisor of 89598 and 65760. 822 What is the highest common factor of 24687 and 2523456? 117
{ "pile_set_name": "DM Mathematics" }
g) + 3*u(g). Let n(w) be the third derivative of 29*w**4/24 - 6*w**2. Calculate n(j(i)). 29*i Let f(h) = -2*h + 2. Let c(o) = o + 1. Let s(n) = 2*c(n) - f(n). Let p(k) be the third derivative of -k**5/15 - 2*k**2 + 2363*k. Determine s(p(d)). -16*d**2 Let u(j) be the third derivative of 103*j**5/60 - 15*j**2 - 25. Let r(x) = x**2. What is r(u(v))? 10609*v**4 Let x(h) = h**2 - 3*h. Let k(v) = v - 1288 + 586 + 707. Determine k(x(r)). r**2 - 3*r + 5 Let i(s) = 22*s**2. Let b(j) = -1555 + 9*j + 778 + 777. Give b(i(u)). 198*u**2 Let o(r) = -215891*r. Let l(t) = -80*t**2. Determine l(o(k)). -3728713910480*k**2 Let u(z) = -1750*z**2. Let c(b) = -87017*b. What is c(u(w))? 152279750*w**2 Let b(z) = -2*z + 9. Let p be b(0). Let u(g) = -4*g + 28*g - 4*g - p*g - 9*g. Let k(w) = -3*w + 12. Give k(u(o)). -6*o + 12 Let y(o) be the first derivative of -34 + 0*o + 1/2*o**2. Let f(m) be the first derivative of -4*m**3/3 - 1. Calculate y(f(k)). -4*k**2 Let o(g) = 1632*g - 36. Let x(j) = 227*j - 5. Let f(h) = -5*o(h) + 36*x(h). Let q(b) be the first derivative of -2*b**3 - 1. Determine q(f(m)). -864*m**2 Let t(r) = -2*r**2 + 4299*r + 5. Let u(s) = s**2. Give t(u(w)). -2*w**4 + 4299*w**2 + 5 Let x(a) = -2*a**2. Let r(u) = 372124950*u**2. Calculate x(r(n)). -276953956825005000*n**4 Let t(f) = 10*f**2 + 8*f - 6. Let j(w) = 31*w**2 + 30*w - 21. Let z(n) = -2*j(n) + 7*t(n). Let s(x) = -4*x**2. Give z(s(y)). 128*y**4 + 16*y**2 Let b(f) = 336*f. Let p(k) = k**2 - 20*k + 63. Let v be p(4). Let a(c) = c**2 - c - 1. Let d(o) = -2*o**2 + o + 1. Let q(l) = v*d(l) - a(l). Calculate b(q(y)). 336*y**2 Let p(r) = 27*r**2 + 2. Let x be (-952)/(-104) - (-4)/(-26). Let y(w) = -5*w + 8. Let l(k) = 11*k - 18. Let q(a) = x*y(a) + 4*l(a). What is q(p(s))? -27*s**2 - 2 Let v(g) be the third derivative of -g**4/12 - 833*g**2. Let i(c) = -2*c + 8*c - 4 + 8*c. Calculate v(i(t)). -28*t + 8 Let f(o) = 3*o**2. Let v(s) be the first derivative of -8*s**3 - 96*s**2 + 2*s**3 + 82 + 95*s**2. Determine f(v(g)). 972*g**4 + 216*g**3 + 12*g**2 Let n(t) = -127*t + 29*t + 51*t + 46*t. Let l(v) = -4103*v. Calculate l(n(a)). 4103*a Let z(u) = -2*u + 9. Let p(s) = 8*s - 30. Let i(x) = p(x) + 5*z(x). Let l(d) = 2*d**2. Determine i(l(a)). -4*a**2 + 15 Let u(z) = 30*z**2 - 10*z. Let h(g) be the second derivative of 5*g**4/12 - 46*g - 2. What is u(h(q))? 750*q**4 - 50*q**2 Let h(p) = -9*p + 7. Let g(k) = 8*k - 6. Let a = 207 + -200. Let b(c) = a*g(c) + 6*h(c). Let j(d) = -6*d**2 + 7. What is j(b(u))? -24*u**2 + 7 Let l(w) = 35*w**2 - 77*w - 3. Let i(u) = 12*u**2 - 22*u - 1. Let q(c) = -7*i(c) + 2*l(c). Let v(o) = 20*o. Give v(q(z)). -280*z**2 + 20 Let r(x) = -2*x**2. Let m(z) = 19*z + 132. Let w(k) = 5*k + 33. Let o(c) = 2*m(c) - 9*w(c). Let d be o(-5). Let n(g) = 12*g**d + 0*g**2 + 2*g**2. Give r(n(i)). -392*i**4 Let k(c) = 1510438912*c**2. Let p(s) = s. What is k(p(w))? 1510438912*w**2 Let g(u) = 110*u**2. Let q(x) = 23 - 50 + 49*x - 46*x + 27. Calculate q(g(z)). 330*z**2 Let f(u) = 2*u - 94. Let r(p) = -2*p - 8920. Determine r(f(z)). -4*z - 8732 Let x(f) = -28*f - 5. Let h(b) = -44*b - 8. Let g(t) = -5*h(t) + 8*x(t). Let s(w) = -1789*w + 1. Give g(s(y)). 7156*y - 4 Suppose 172*g - 181*g + 414 = 0. Let t(a) = -g*a**2 - 26*a**2 + 77*a**2. Let l(o) = -20*o. Calculate t(l(f)). 2000*f**2 Let t(y) = -2*y - 6. Let d(g) = 42*g + 132. Let p(f) = 4*d(f) + 88*t(f). Let c(u) = 18*u - 1. Give p(c(l)). -144*l + 8 Let u(j) = j**2. Let n = 88 - 76. Let z(b) = -n + 11 + 58*b**2 + 1. What is z(u(f))? 58*f**4 Let m(s) = -s + 2. Let g(z) = -z + 5. Let w(q) = -2*g(q) + 5*m(q). Let h(r) = -58 - 53 + 168 - 57 + 51*r**2. Give w(h(v)). -153*v**2 Let p(t) = 29*t**2. Let w(m) = -831*m**2 + 823*m**2 + 166 - 334 + 168. Calculate w(p(y)). -6728*y**4 Let t(n) = 6*n**2 - 8. Let v(k) = -17*k + 19843. Give v(t(u)). -102*u**2 + 19979 Let y(q) be the second derivative of q**5/30 + 38*q**2 - 29*q + 1. Let t(z) be the first derivative of y(z). Let a(o) = -2*o + 68. Give t(a(n)). 8*n**2 - 544*n + 9248 Suppose -7*i + 2*i + 10 = 0. Let n be 30/105*i*7. Let b(o) = -n*o**2 + 3*o**2 + 4*o**2 - 5*o**2. Let t(a) = 14*a + 1. Calculate b(t(d)). -392*d**2 - 56*d - 2 Let l(r) = 3*r**2. Let q(y) be the third derivative of y**6/10 - 59*y**3/3 - 31*y**2. Let i(d) be the first derivative of q(d). Determine l(i(x)). 3888*x**4 Let i(c) be the third derivative of c**5/6 - 12*c**2 + 4*c + 2. Let p(z) = -631*z**2. Determine i(p(n)). 3981610*n**4 Let o(r) = r**2. Let m = 140 - 136. Let t(l) = 838*l - m + 4 - 837*l. What is t(o(s))? s**2 Let z(d) = -37*d**2 - 39*d**2 - 39*d**2 + 147*d**2 - 34*d**2. Let t(f) = 10*f**2. What is t(z(n))? 40*n**4 Let o = 331 - 327. Let d(b) = 4*b - 3 - o + 3 + 10 - 3. Let l(w) = -3*w**2. Give l(d(s)). -48*s**2 - 72*s - 27 Let n = -40 + 181. Let z(v) = 141 - v - n. Let a(h) = 43*h**2 - 13. Let g(f) = -7*f**2 + 2. Let b(i) = -6*a(i) - 39*g(i). Determine b(z(k)). 15*k**2 Let t(j) = -69864458*j. Let g(s) = s. Determine g(t(q)). -69864458*q Let a(i) = -14*i + 40 - 43 + 12*i**2 + 14*i. Let t(h) = -10*h**2. Calculate t(a(d)). -1440*d**4 + 720*d**2 - 90 Let h(r) = 2*r - 152. Let j(p) be the first derivative of -11*p**3/3 + 3045. Give h(j(n)). -22*n**2 - 152 Let o(y) be the third derivative of -y**5/20 - 307*y**4/24 - 9*y**2 + y - 16. Let w(a) = -5*a. Give o(w(i)). -75*i**2 + 1535*i Suppose 4*a = -0*a + 12. Let u(s) = 4*s - 12 + 5*s - 11*s + a*s. Let d(r) = 3*r**2. What is d(u(o))? 3*o**2 - 72*o + 432 Let h(c) = 7869*c. Let b(o) = -o**2 + 123*o + 26. Calculate b(h(v)). -61921161*v**2 + 967887*v + 26 Let x(w) = 5*w**2. Suppose 4*t + 56 - 240 = 0. Let h = t - 44. Let i(n) = 9*n**h - n**2 - 5*n**2 - n**2. What is i(x(p))? 50*p**4 Let l(b) be the third derivative of -b**5/15 - b**4/6 + b**3/6 - 2634*b**2. Let a(x) = 2*x. What is l(a(w))? -16*w**2 - 8*w + 1 Let x(r) = -16*r + 10*r - r. Let g(w) be the second derivative of 0 - 2*w + 1/6*w**3 + 0*w**2. Give x(g(j)). -7*j Let w(u) be the first derivative of u**5/15 - 10*u**3/3 - 6. Let m(x) be the third derivative of w(x). Let t(h) = -10*h. Calculate m(t(f)). -80*f Let b(k) = -94524*k. Let a(p) = 22*p. Determine b(a(q)). -2079528*q Let g(t) = t**2 + t. Let x(a) = -a. Let j(r) = g(r) + x(r). Let i(s) = 674 - 37*s + 40*s - 23*s**2 - 3*s - 671. Give i(j(c)). -23*c**4 + 3 Let o(v) = -7*v**2 - v + 4. Let t(d) = 57*d**2 + 9*d - 34. Let s(y) = 51*o(y) + 6*t(y). Let r(n) = 6*n. Calculate r(s(m)). -90*m**2 + 18*m Let t(g) = 448*g**2. Let h(j) = 285*j. Let f(o) = 21*o. Let q(y) = 27*f(y) - 2*h(y). Calculate q(t(a)). -1344*a**2 Let v(o) be the third derivative of o**4/3 + 15*o**2. Let b(d) = 6 + 1 - 4 + 18*d - 3. Give v(b(l)). 144*l Let r(t) be the first derivative of 0*t**2 + 0*t**3 + 9 + 16*t + 1/6*t**4. Let k(d) be the first derivative of r(d). Let c(w) = -16*w. Determine k(c(q)). 512*q**2 Let u(j) = 67*j - 111. Let p(m) = -316*m. Give p(u(d)). -21172*d + 35076 Let y(c) = -13*c - 4*c - 17*c - 13*c + 55*c. Let h(x) = 10*x**2. Calculate y(h(k)). 80*k**2 Let a(x) = -x**2. Let r(q) = -279812*q**2 + 58. Determine r(a(w)). -279812*w**4 + 58 Let g(r) = 2*r - 2. Let u(a) = 5*a + 6 - 12 - 7 + 13. What is u(g(q))? 10*q - 10 Let h(o) = 4*o - 11*o + 0*o. Let n(t) = -4*t**2 + 5*t. Let p = 58 - 54. Let d(r) = -3*r**2 + 4*r. Let q(v) = p*n(v) - 5*d(v). Determine h(q(b)). 7*b**2 Let o(v) = 3411*v. Let w(p) = 20789*p. What is o(w(i))? 70911279*i Let t(z) = 18*z - 21. Let m(o) be the second derivative of -o**3/6 + 554*o - 2. Determine t(m(u)). -18*u - 21 Let d(g) = 29*g. Let x(u) be the first derivative of -u**4/8 + u**2 - u + 77. Let b(q) be the second derivative of x(q). What is d(b(o))? -87*o Let k(r) = 9*r. Let j(l) = 3 + 73*l - 23*l - 28*l + 8*l. Give k(j(t)). 270*t + 27 Let r(j) = -j**3 - 17*j**2 + 36*j + 46. Let i be r(-19). Let h(t) = -47*t**2 - 49*t - 35*t + i*t. Let u(f) = 2*f. Calculate h(u(q)). -188*q**2 Let f(g) = -2*g. Let a(p) = -963285*p + 3. What is a(f(i))? 1926570*i + 3 Let w(i) = -2*i. Let n = 9 - 54. Let v be 1 + 2*n/(-10). Let l(o) = -o - v*o + 4 + 8*o. What is w(l(q))? 6*q - 8 Let y(x) = -3*x + 41. Let q(l) be the first derivative of l**2/2 - 3959. Determine q(y(w)). -3*w + 41 Let b(n) = -545*n**2 + 3*n. Let m(y) be the third derivative of -y**4/12 - 4*y**2 - 254. Determine m(b(g)). 1090*g**2 - 6*g Let
{ "pile_set_name": "DM Mathematics" }
t(l) = 579*l**2. Let c(z) = -8*z. What is c(t(p))? -4632*p**2 Let f(z) be the first derivative of -z**2 - z**2 - 6 + z**2. Let p(s) = -s**2. What is f(p(b))? 2*b**2 Let r(q) = -3*q. Let m(c) be the second derivative of c**3/6 + 10*c. Calculate m(r(j)). -3*j Let s(c) = -7*c**2. Let p(m) = 2*m. Determine s(p(y)). -28*y**2 Let n(r) = 16*r**2 + 2. Let u(k) = 5*k. Give n(u(a)). 400*a**2 + 2 Let y(h) = 2*h**2. Let f(p) = -5*p - 12*p + 13*p. Give y(f(w)). 32*w**2 Let x(v) = 2*v. Let g(i) = 10*i**2. Calculate g(x(z)). 40*z**2 Let x(z) = -5*z + 4*z + 2*z. Let n(r) = -26*r + 5. Let o(a) = -13*a + 2. Let q(d) = -2*n(d) + 5*o(d). Give q(x(f)). -13*f Let b(m) = -6*m. Let i(p) = -p. Let d(v) = 3*b(v) - 16*i(v). Let s(h) be the second derivative of -h**4/6 - h. Calculate d(s(k)). 4*k**2 Let b(m) = -2*m. Let k(o) = -5*o + 1. Let u(h) = -20*h + 3. Let x(z) = 9*k(z) - 2*u(z). What is x(b(v))? 10*v + 3 Let l = 7 - 12. Let a(c) = 11*c + 5. Let o(v) = -6*v - 3. Let i(s) = l*o(s) - 3*a(s). Let r(d) = d**2. What is i(r(w))? -3*w**2 Let w(g) = -39 - 7*g + 32 + 6*g. Let j(m) = 2*m**2. Give w(j(b)). -2*b**2 - 7 Let h(m) = -121*m - m**2 + 121*m. Let x(v) = -6*v. What is h(x(a))? -36*a**2 Let l(o) = o**2. Let b(p) = -230*p**2. Calculate b(l(s)). -230*s**4 Let g(f) = 3*f**2. Let i(c) be the first derivative of 7*c**3/3 + 51. Calculate g(i(q)). 147*q**4 Let r(o) be the second derivative of -1/6*o**3 + 2*o + 0 + 0*o**2. Let s(y) = -y. Determine s(r(z)). z Let f(q) = 34*q**2 + 7*q + 7. Let c(x) = 23*x**2 + 5*x + 5. Let y(w) = -7*c(w) + 5*f(w). Let b(r) = -2*r. Give y(b(m)). 36*m**2 Let n(v) = -28*v. Let d(f) = 5*f**2 - 4*f - 4. Let b(r) = -4*r**2 + 3*r + 3. Let g(q) = 4*b(q) + 3*d(q). Determine n(g(p)). 28*p**2 Let r(f) = 186*f**2. Let b(k) = k**2. What is b(r(i))? 34596*i**4 Let l(c) = -3*c. Let p = -6 + 11. Let w(s) = 2*s - 5*s + p*s. Determine w(l(a)). -6*a Let c(m) = 3*m**2. Let o(b) be the second derivative of 0*b**2 + 1/3*b**3 - b + 0. Determine c(o(l)). 12*l**2 Let n(y) = y**2. Let i(h) be the first derivative of -3*h**2/2 - 1. Calculate i(n(v)). -3*v**2 Let c = -3 - -5. Let k(y) = -y + y + y**c. Let a(p) = 3*p - 2. Let n(g) = -16*g + 11. Let m(t) = -11*a(t) - 2*n(t). What is k(m(l))? l**2 Let k(i) = 17*i**2. Let a(w) = -19*w - 16*w + 37*w. Give a(k(s)). 34*s**2 Let j(k) = 24*k**2 - 2. Let y(i) = 13*i**2. Calculate j(y(x)). 4056*x**4 - 2 Let l(j) = 2 - 325*j - 5 + 329*j + 3. Let n(f) be the first derivative of -f**2/2 + 1. Determine l(n(z)). -4*z Let p(q) = 3*q**2. Let a(c) = -5*c + 6. Let f(w) = -6*w + 8. Let j(l) = 4*a(l) - 3*f(l). Give j(p(b)). -6*b**2 Let k(v) = -5*v**2 - 2*v - 579. Let p(d) = 2*d. Calculate k(p(s)). -20*s**2 - 4*s - 579 Let s(l) = -l + 2. Let r(b) = 1. Let y(w) = -2*r(w) + s(w). Let i(p) be the first derivative of 3*p**2/2 + 25. Determine i(y(x)). -3*x Let d(l) = 18*l**2. Let i(r) be the third derivative of r**5/60 + 9*r**2. Determine i(d(b)). 324*b**4 Let r(a) = 9*a. Let x(i) be the second derivative of i**3/6 + 9*i. Determine x(r(f)). 9*f Let x(h) = -6*h**2 + 11*h. Let r(g) = -g**2 + 2*g. Let c(i) = 11*r(i) - 2*x(i). Let y(l) be the first derivative of -3*l**2/2 - 7. Determine c(y(b)). 9*b**2 Let b(a) = -2*a**2 + 6*a + 6. Let f(r) = -3*r**2 + 11*r + 11. Let l(u) = -11*b(u) + 6*f(u). Let z(p) = 9*p**2. Determine l(z(x)). 324*x**4 Let n(x) = 7*x**2 + 14*x + 14. Let h(y) = -y - 1. Let g(p) = 14*h(p) + n(p). Let b(t) = -t**2. What is b(g(i))? -49*i**4 Let h(b) be the third derivative of -b**2 + 0*b + 0 - 1/12*b**4 + 0*b**3. Let t(o) = 3*o. Determine h(t(i)). -6*i Let g(u) be the second derivative of u**7/1260 + u**4/6 + 3*u. Let l(i) be the third derivative of g(i). Let x(d) = -d. Determine l(x(v)). 2*v**2 Let b(d) = -634*d. Let s(n) = 18*n. Determine b(s(y)). -11412*y Let o(g) be the second derivative of -g**4/6 + g. Let p(x) = 2*x**2 - 3*x + 5*x - 2*x. Calculate p(o(l)). 8*l**4 Let c(g) = 2*g**2. Let i(j) be the first derivative of -2 + 0*j**2 + 0*j + 1/3*j**3. Determine c(i(u)). 2*u**4 Let x(h) be the third derivative of h**4/12 - 31*h**2. Let c(o) = 2*o**2. Calculate c(x(i)). 8*i**2 Let m(a) = -a. Suppose -6 = d - 3*d. Let n(b) = b - 4*b + d*b - 5*b. Give m(n(v)). 5*v Let p(f) be the third derivative of f**4/24 - 2*f**2. Let d(h) be the first derivative of 11*h**3/3 + 4. Give p(d(q)). 11*q**2 Let x(c) = -c. Let o(i) = -2*i. Let z(m) = o(m) - 3*x(m). Let y(f) = -6*f**2. What is y(z(s))? -6*s**2 Let x(m) be the first derivative of m**2 + 5. Let g(r) = -22*r. Calculate g(x(s)). -44*s Let u(s) = -3*s. Let r be -2*(0 + -2 + 1). Suppose -2*q = 2*x + r, 0 = q + x + 3*x + 4. Let l(z) = -4*z + 2*z + q*z. What is l(u(v))? 6*v Let g(r) = 213*r**2 + 3*r. Let p(n) = -n. Determine p(g(o)). -213*o**2 - 3*o Let x(a) = -21*a. Let i(n) = 21*n. Let o(c) = 3*i(c) + 2*x(c). Let v(h) = -2*h. What is v(o(j))? -42*j Let b(o) = -4*o**2. Let j(z) = -486*z**2 + z. What is j(b(w))? -7776*w**4 - 4*w**2 Let y(n) be the first derivative of -2*n**3/3 - 1. Let t(h) = 3*h - 156 + 156. Determine y(t(a)). -18*a**2 Let b(r) = -2*r**2 + 3*r - 3. Suppose -2*m - 15 = -7*m. Let i(p) = 2*p**2 - 2*p + 2. Let j(d) = m*i(d) + 2*b(d). Let t(l) = 13*l. Give t(j(q)). 26*q**2 Let z(p) = -p + 7. Let l be z(5). Let t(j) = -3*j**2 - 5*j**2 + 3*j**l - j**2. Let a(g) = -2*g**2. Determine t(a(q)). -24*q**4 Let p = 28 + -28. Let l(q) be the third derivative of 0 - 1/12*q**4 + 3*q**2 + 0*q + p*q**3. Let v(b) = -2*b. What is l(v(m))? 4*m Let d(y) = -1434 - 2*y + 1434. Let s(l) = -4*l. Give s(d(n)). 8*n Let v(p) = 1199*p**2. Let d(q) = q. What is v(d(b))? 1199*b**2 Let r(x) = -x**2. Suppose -3*v = -2*p + 12, -p = -v - 0 - 4. Let k = 6 + v. Let d(a) = -5*a**k - 4*a**2 + 4*a**2. Give d(r(l)). -5*l**4 Let f(b) be the second derivative of -b**4/12 - 2*b**2 + 4*b. Let r(c) be the first derivative of f(c). Let o(s) = 4*s. Give r(o(q)). -8*q Let n(c) = c. Let k(q) = 9*q**2 - 2*q - 2. Let l(m) = -637*m**2 + 143*m + 143. Let h(t) = -143*k(t) - 2*l(t). Determine h(n(z)). -13*z**2 Let m(f) = -7*f. Let h(v) be the third derivative of v**4/8 - 32*v**2. Calculate h(m(d)). -21*d Let j(y) = -345*y. Let k(x) = 3*x. What is k(j(f))? -1035*f Let p(h) = -2*h. Let c(o) = o. Let m(w) = -5*w. Let x(y) = -4*c(y) - m(y). Determine x(p(b)). -2*b Let x(z) = -4*z. Let s(d) = -12045*d**2. Give s(x(j)). -192720*j**2 Let t(q) = 4*q**2 + 6*q**2 - 9*q**2. Let u(m) = -2*m. What is t(u(l))? 4*l**2 Let j(h) = 5*h**2. Let z(y) = -24*y + 1. Give z(j(g)). -120*g**2 + 1 Let a(l) = 6*l. Let v(r) = -2*r**2 - 9*r. Let q(t) = t**2 + 4*t. Let x(m) = 9*q(m) + 4*v(m). Determine x(a(i)). 36*i**2 Let k(f) = -181*f. Let h(v) = -3*v. Determine h(k(y)). 543*y Let t(k) = 9*k - 6*k - 5*k. Let a(z) be the third derivative of 3*z**4/8 - z**2. Give t(a(m)). -18*m Suppose 0 = s - 1 - 1. Let o(d) = -2*d - s*d + 6*d. Let x(b) = -5*b + 0*b + 3*b + 3*b. Determine o(x(r)). 2*r Let w(g) = -4*g. Let p(r) = -r. Let z(a) = -a. Let n(k) = 2*p(k) - 5*z(k). Give w(n(x)). -12*x Let u(r) be the third derivative of -r**5/20 - 2*r**2. Let p(g) be the first derivative of g**2 - 4. Calculate p(u(a)). -6*a**2 Let w(b) be the second derivative of b**4/24 + 3*b**2 + 7*b. Let n(i) be the first derivative of w(i). Let k(a) = a**2. Give k(n(q)). q**2 Suppose -f + 1 = 3*f - v, -4*f = -2*v - 6. Let l(c) = c**2 - 4*c + 4. Let d(w) = -w + 1. Let t(o) = f*l(o) + 4*d(o). Let m(p) = -3*p. Calculate t(m(h)). -9*h**2 Let y(i) = 3*i**2. Let k(u) = -2*u + 43. Determine k(y(z)). -6*z**2 + 43 Let y(z) = -z**2. Let a(o) = 17*o - 4 + 4 - 2*o. Calculate a(y(h)). -15*h**2 Let q(s) = s + 37. Let m(k) = -25*k. Give q(m(x)). -25*x + 37 Let b(m) = m. Let y(o) be the third derivative of -1/24*o**4 + 0 + 3*o**2 + 0*o**3 + 0*o. Give y(b(t)). -t Let k(w) = -16*w - 23*w**2 + 3*w + 14*w. Let g(c) = -2*c**2. Calculate k(g(a)). -92*a**4 - 2*a**2 Let n(m) = m + 4. Let h(l) = l - 1. Let s(j) = 4*h(j) + n(j). Let t(i) = 6*i**2. Give t(s(o)). 150*o**2 Let b(u) = -2750*u. Let d(o) = -o. Calculate d(b(a)). 2750*a Let l(q) = -389*q. Let f(m) = -m. Determine f(l(r)). 389*r Let s(f) be the first derivative of f**2/2 + 9. Let i(w) = -6*w**2. Give i(s(u)). -6*u**2 Let a(o) = -11*o**2. Let d(s) = 9*s. What is a(d(c))? -891*c**2 Let a(w) = w**2. Let o(i) = -i**3 + i**2 + i. Let x be o(0). Suppose 0 = -3*k - 1 + 7. Let
{ "pile_set_name": "DM Mathematics" }
/s. What is g rounded to the nearest one hundred thousand? 700000 Let k = 25 - 25.000135. What is k rounded to five dps? -0.00014 Suppose -2*p + 949 - 3269 = 0. What is p rounded to the nearest 100? -1200 Let c = -1615240 + 2285240. What is c rounded to the nearest 100000? 700000 Let l = 8.708 - -0.092. Let m = -10.8 - -15. Let g = l - m. What is g rounded to 0 decimal places? 5 Let j = 28 + -28.07. Let m = 0.06 + 0.08. Let a = m + j. What is a rounded to one decimal place? 0.1 Let c = -11.0064 - -11. What is c rounded to three decimal places? -0.006 Let p = 0.09 + 0.41. Let k = p - 0.35. Let r = k + 7.55. Round r to the nearest integer. 8 Let q be (-4)/20 - 1/(-5). Suppose 5*s - s - 14800 = q. What is s rounded to the nearest one thousand? 4000 Let h = -45.0787 - -45.1. What is h rounded to 3 decimal places? 0.021 Let i = 277.662 - 278. Let v = 0.11 + i. Let k = v - -0.2401. Round k to 3 decimal places. 0.012 Let q(n) = 15*n**2 - 1. Let a be q(1). What is a rounded to the nearest 10? 10 Let a be (-1 - (-20)/12)/(2/108). Round a to the nearest ten. 40 Let d = -1570 + 860. What is d rounded to the nearest 100? -700 Let r = -42.7749 - 3.9122. Let z = 0.2971 + r. Let l = z - -46. Round l to one dp. -0.4 Let q = -0.18 - -0.1817. Round q to 4 dps. 0.0017 Let p = 82 - 82.345. Let n = p + 0.43. Round n to two decimal places. 0.09 Let r = -11 - -9. Let n be (r - (-8)/6)*-300000. What is n rounded to the nearest 1000000? 0 Let s be (0 - 3) + (-7 - -2822498). Let o = s + -1692488. What is o rounded to the nearest 100000? 1100000 Suppose -n = 2*d + 5 - 15, d = -2*n + 5. Suppose 5 = m - 0. Suppose 7195 = u - s, n = -m*s + s + 20. Round u to the nearest one thousand. 7000 Let c = -3.016 + 3. Let g = -370 - -369.276. Let f = g + c. What is f rounded to one dp? -0.7 Let h = -3.0929 - -3.1. What is h rounded to three decimal places? 0.007 Let h = -34.983 + 35. Let b = 1541 - 1541.01679. Let s = b + h. Round s to four dps. 0.0002 Let m = -86.99999867 - -87. What is m rounded to 7 decimal places? 0.0000013 Let v be (54/(-24))/(6/16). Let x be 5*-2 - v/(-3). Let r = x - 93. Round r to the nearest 10. -110 Suppose -6000056 = 3*w - 5*w. Let c be (-3)/(-15) - w/(-10). Let x be c/6 - 2/4. Round x to the nearest 100000. 100000 Let w = 7 + -3. Suppose 0 = 2*j - 4*j - w*p + 99392, -4*j = 2*p - 198790. Let g be 4/(-14) - j/7. What is g rounded to the nearest one thousand? -7000 Suppose -45 = 4*k + k. Let j(i) = i**2 + 9*i + 4. Let m be j(k). Suppose -5*r = -m*v + 5599995, 2*v + 4*r = -v + 4200004. Round v to the nearest 1000000. 1000000 Let v = -32.052 + 32. Let d = 9 + -8.991. Let i = v - d. What is i rounded to two dps? -0.06 Let l = -6104.391945 + 6091.392. Let o = -13 - l. Round o to 5 decimal places. -0.00006 Suppose 2*j + 0*j - 4 = 0. Suppose -j*c - 3*x = -1821, -2*c + 2*x = -2756 + 950. Suppose -3*o + c = 96. Round o to the nearest 100. 300 Let x be (-1 - 20)*4/4. Let b = 748 - 1067. Let l = b + x. What is l rounded to the nearest 100? -300 Let s = -93 + 93.00000296. Round s to 7 decimal places. 0.000003 Let b be (-130)/30 + 1/3. Let o(q) be the second derivative of -1417*q**3/2 - 2*q**2 + 2*q. Let w be o(b). Round w to the nearest ten thousand. 20000 Let i = -94.0074 + 94. Let q = 0.34 - 0.33. Let s = q + i. Round s to three decimal places. 0.003 Let j(i) = -660*i. Let a be j(3). Let g be a/(1/(15000/(-9))). What is g rounded to the nearest one million? 3000000 Suppose 100784 = 4*g + 3*j, -j + 6*j = 0. Suppose -4*r + 4384 = -4*c + g, 3*r = -2*c - 15594. What is r rounded to the nearest 1000? -5000 Let t = -0.06 + -0.03. Let z = 4.10232075 - 4.19232. Let j = z - t. What is j rounded to seven dps? 0.0000008 Let f = -4.83327 - -6.433178. Let s = 1.6 - f. Round s to five decimal places. 0.00009 Let u = -258 + 258.000201. What is u rounded to five dps? 0.0002 Let i be -2*2*9/(-12). Suppose -3*x + i = -2*x. Suppose -80000 = -x*q - 2*q. Round q to the nearest ten thousand. 20000 Let x be 396796/8 - (-4)/8. What is x rounded to the nearest one thousand? 50000 Let q(w) = 2*w**3 - 8*w**2 - 7*w - 15. Let h be q(7). Round h to the nearest one hundred. 200 Let d = -291885162.00000154 + 291885196. Let b = -71 - -105. Let f = b - d. Round f to seven dps. 0.0000015 Let y(l) = -4435*l + 10. Let o be y(6). Round o to the nearest 1000. -27000 Let u = -0.05 + 0.07. Let n = u - 0. What is n rounded to 2 decimal places? 0.02 Let t = 13 - 9.2. What is t rounded to the nearest integer? 4 Let m = -2.85 + -2.9. Let l = m + 6. What is l rounded to one decimal place? 0.3 Let l = 3231.833 + -3038.8439. Let z = -193.46 + 0.46. Let k = z + l. Round k to three dps. -0.011 Suppose 3*a + 3*w = 123 + 42, -4*a + 215 = 5*w. Let p = a + 300. Round p to the nearest one hundred. 400 Let d = 4 + -4. Suppose 0*w = 3*w + 5*o - 556, d = w + o - 188. Let c = 31 - w. What is c rounded to the nearest 10? -160 Let d = 11.69 - -0.31. Let t = 11.99999999 - d. Round t to 7 dps. 0 Let k be (-1102 - -2)/((-2)/8). Round k to the nearest one thousand. 4000 Let m = 4 - 18. Let j = m + 22. Let r = j + -1.9. What is r rounded to the nearest integer? 6 Let l(o) = -o**2 - 16*o + 13. Let u be l(-17). Let m(g) = -6 + 376*g + 5 + 5. Let n be m(u). What is n rounded to the nearest one hundred? -1500 Let y = 308.0258 - 308. Round y to 3 decimal places. 0.026 Suppose l = -4 + 5. Let c be l + -2 - (-3)/1. Let g = -5 - c. Round g to the nearest ten. -10 Let n = 0.940127 - 1.20017. Let z = -0.26 - n. Round z to 5 decimal places. 0.00004 Let n = -14.86 - -15. Round n to one dp. 0.1 Let k = -10.7 + 10.69928. What is k rounded to 4 decimal places? -0.0007 Let l(h) = 5*h**2 + h + 1. Let z(d) = -4*d**2 - d. Let s(j) = 3*l(j) + 4*z(j). Let q be s(0). Suppose -q*x - 8968 = 1832. Round x to the nearest 1000. -4000 Let s = -1271443416031.790113 - -1271446709544. Let c = 3293510 - s. Let w = -2.21 - c. Round w to five decimal places. -0.00011 Let k = -0.87 + 0.921. Let o = 273601.9489938 + -273602. Let n = o + k. What is n rounded to six decimal places? -0.000006 Let z = -0.570036 + 0.4701. Let t = z + 0.1. Round t to five dps. 0.00006 Let k = -13.0000016 + 13. Round k to six decimal places. -0.000002 Let u(v) = 14*v**2 + 13*v + 9. Let i(d) = -7*d**2 - 6*d - 4. Let j(a) = -5*i(a) - 2*u(a). Let s be j(-6). Round s to the nearest 100. 200 Let d(i) = 1 - 1180*i**2 - 53*i**2 - 1768*i**2. Let f = -2 + 1. Let j be d(f). What is j rounded to the nearest 1000? -3000 Let u = -0.1173 - -0.12. Round u to 3 decimal places. 0.003 Suppose 2*y - 2*z = 2759992, -z + 4140016 = 3*y + 3*z. What is y rounded to the nearest 100000? 1400000 Let t(m) = -1751*m - 4. Let c = 24 - 28. Let p be t(c). Round p to the nearest ten thousand. 10000 Let s(h) = -5891*h + 1. Let z be s(1). Round z to the nearest one thousand. -6000 Let i(d) = -3*d**2 + 4*d - 3. Let h be i(8). Let b = h + 23. What is b rounded to the nearest 100? -100 Suppose -4*l = -8, -3*x + 2*l = l - 2518. What is x rounded to the nearest 100? 800 Let t = 0 - -2. Let i = -0.8 + t. Let o = i + -0.76. Round o to one decimal place. 0.4 Let o be (-2)/(-7) + 50394/21. Round o to the nearest one thousand. 2000 Suppose m + 20475 = 44. Let x = m + 40431. What is x rounded to the nearest ten thousand? 20000 Let z = -0.08 - 0.72. What is z rounded to one dp? -0.8 Let v = -0.6 + 27. Let b = v - 17.33. Let k = b - 9. Round k to 2 decimal places. 0.07 Let p = -0.5 + -8.5. Let d = p + 9.0000028. What is d rounded to 6 dps? 0.000003 Let m = -2 - -4. Suppose -4*w = -0*n - m*n + 1914, 5*w + 2397 = n. Round w to the nearest 100. -500 Suppose -2*t + 728 = 104. Let f be (-5500)/(-6)*t/(-20). What is f rounded to the nearest one thousand? -14000 Suppose 756609 + 1743391 = 2*c. Round c to the nearest one hundred thousand. 1300000 Let h = 46617762 + -3876079. Let g = h - 42741685.2000019. Let y = 2.2 + g. What is y rounded to six dps? -0.000002 Let w = -14 - -14.007. Round w to two dps. 0.01 Let w = 2.5875 - 2.2. Let z = 0.4 + 0. Let q = w - z. Round q to 3 dps. -0.013 Let j = -33230336.999954 - -33230388. Let d = 51 - j. Round d to 5 decimal places. -0.00005 Let y = -3.89 - -0.09. Let v = y + 19.8. Let i = 19.8 - v. Round i to the nearest integer. 4 Let y = -357.0774 - -0.0774. Let r = y + 371.7. Let a = r - 14.69941. Roun
{ "pile_set_name": "DM Mathematics" }
2 + 214212*a*y - 3*a - 7*y - 31 wrt y? a**2 + 214212*a - 7 Find the second derivative of -403*t**3 - 1140629*t**2 + 931302266*t. -2418*t - 2281258 Differentiate 297755118*m**2 - 414659306 with respect to m. 595510236*m Differentiate 2*m**3 + 66584837*m**2 + 982485412. 6*m**2 + 133169674*m What is the third derivative of 204723696*c**3 + 366289*c**2 - 214 wrt c? 1228342176 Differentiate -1516835*q**2*v + 165749747*q**2 - q + 19*v wrt v. -1516835*q**2 + 19 Find the second derivative of -10636536*r**4 - 29574225*r. -127638432*r**2 Find the second derivative of 1249647*f**5 - 2*f**4 - 4876*f + 1833 wrt f. 24992940*f**3 - 24*f**2 What is the second derivative of -2*s**3*w + 4*s**3 - 3*s**2*w - 89261*s**2 + 7528*s*w + 110*s + 11 wrt s? -12*s*w + 24*s - 6*w - 178522 Find the third derivative of -740255*g**5 - 2*g**4 + g**3 + 7*g**2 - 916743. -44415300*g**2 - 48*g + 6 Differentiate -8*u**3 - 540*u**2 - 2750*u - 132021584 with respect to u. -24*u**2 - 1080*u - 2750 What is the second derivative of 681243603*a**2 - 513438482*a wrt a? 1362487206 What is the derivative of -5326399*l**4 + 9100337 wrt l? -21305596*l**3 What is the third derivative of 65563530*k**5 + 1892*k**2 + 2089*k wrt k? 3933811800*k**2 What is the third derivative of -1187027*t**3 + 14218908*t**2 wrt t? -7122162 What is the third derivative of -1561497609*l**6 - 1035349367*l**2 wrt l? -187379713080*l**3 Find the third derivative of -8821039*u**4 - 2*u**3 - 35924*u**2 - 66. -211704936*u - 12 What is the first derivative of u**4 + 2*u**3 + 4200*u**2 - 310*u - 957525895? 4*u**3 + 6*u**2 + 8400*u - 310 What is the first derivative of -169554638*g + 419640626? -169554638 Find the third derivative of -158900537*m**3 - 4*m**2 + 6304281*m. -953403222 What is the second derivative of 11*i*v**3 + 512*i*v**2 - 77*i*v - 37*i + 4*v**3 + v**2 + 13*v wrt v? 66*i*v + 1024*i + 24*v + 2 Find the first derivative of t**3 + 2*t**2 - 778449*t - 1184140. 3*t**2 + 4*t - 778449 What is the third derivative of 3*c*p**3 + 10*c*p**2 - 3*c*p - 143317*c - 32643381*p**3 + 2*p**2 - 5*p wrt p? 18*c - 195860286 What is the second derivative of -9*p**4 + p**3 - 27653*p**2 + 5134*p - 74? -108*p**2 + 6*p - 55306 Find the third derivative of -153995114*b**6 - 2*b**5 - 2780*b**2 + 10974 wrt b. -18479413680*b**3 - 120*b**2 Find the first derivative of 17*m*v - 14252*m + 1995*v - 2010 wrt m. 17*v - 14252 Find the first derivative of -329*j**4 - 9793*j + 96164753 wrt j. -1316*j**3 - 9793 What is the third derivative of -80861*v**4 - 6*v**3 + 1466129*v**2 + 2*v? -1940664*v - 36 What is the derivative of 839889175*k + 396645200 wrt k? 839889175 Find the third derivative of 40474607*g**3*v**4 + g**3*v - 395*g**3 - 121*v**2 wrt v. 971390568*g**3*v What is the second derivative of -2*b**4 + 45715*b**3*y**2 - 8*b**2 + 17155*b*y**2 - 7*b*y - y**2 wrt b? -24*b**2 + 274290*b*y**2 - 16 What is the first derivative of -35110655*o**4 + 58514295? -140442620*o**3 Find the third derivative of -11140*b**4 + 2809*b**3 - 136108223*b**2 wrt b. -267360*b + 16854 Find the first derivative of 4*o**3*y**2 + 2*o**3 + 93*o**2 - 5034*o - 17*y**3 + 5015*y**2 wrt y. 8*o**3*y - 51*y**2 + 10030*y What is the third derivative of a*h*n**2 - 42*a*h*n + 565*a*n**3*v**2 + 2*a*n**3*v + 7*a*n**2*v**2 + 2394*h*n**3 - 4*h*n + 107*h wrt n? 3390*a*v**2 + 12*a*v + 14364*h Differentiate 33286*m**4*r**3 + 40*m**2*r**3 - 12*r**3 - 3*r**2 - 133*r - 10 wrt m. 133144*m**3*r**3 + 80*m*r**3 What is the first derivative of 2*m**4 - 79*m**2*v*w - 3208*m*w**2 + 36*v*w**2 + 47*v*w + 2*v - 3*w**2 + 68 wrt m? 8*m**3 - 158*m*v*w - 3208*w**2 Find the third derivative of -438770243*c**6 + 3*c**2 - 70789647*c wrt c. -52652429160*c**3 What is the second derivative of -619908165*h**2 - 675488728*h? -1239816330 What is the third derivative of -65511285*y**3 + 14*y**2 - 1127048*y? -393067710 Find the third derivative of 219735164*z**4 + 393546*z**2 + 2*z + 154. 5273643936*z Find the third derivative of 70916706*n**4 - 2*n**2 + 1579122*n - 1 wrt n. 1702000944*n What is the second derivative of 78349*k**3 + 27*k**2 + 40126221*k wrt k? 470094*k + 54 What is the third derivative of 3*o**5 - 8012*o**4 - 1178*o**3 + 437559*o**2 - 3*o - 1 wrt o? 180*o**2 - 192288*o - 7068 Differentiate -631874582*r*z + 393*z - 138336 with respect to r. -631874582*z Find the second derivative of -28163837*g**3 + 12664996*g. -168983022*g Find the first derivative of 26802258*m**3 - 5338598 wrt m. 80406774*m**2 What is the second derivative of 4*m**4*w**2 + 29113464*m**4 + 3*m*w**2 - 2*m*w + 13169610*w**2 wrt m? 48*m**2*w**2 + 349361568*m**2 Find the second derivative of 879*w*z**2 + 51*w*z - 1132*z**2 + 43067*z wrt z. 1758*w - 2264 What is the third derivative of -1089616*p**5 - p**3 - 7*p**2 + 12373*p + 6 wrt p? -65376960*p**2 - 6 Find the second derivative of 181*y**4 - 131896*y**3 + 102086069*y wrt y. 2172*y**2 - 791376*y Find the second derivative of 40717*p*q**2 + 18100247*p*q - 123*q**2 wrt q. 81434*p - 246 Differentiate -2324*q**2*r*v - 2283*q**2 + 77*q*r*v - 6*r*v - 2823*v with respect to r. -2324*q**2*v + 77*q*v - 6*v Differentiate 109439*t + 6966758 wrt t. 109439 What is the second derivative of 1042*m*q**2 + 2*m*q + 190*m - 114358*q**2 - q - 504349 wrt q? 2084*m - 228716 Find the second derivative of 218394*f**3*j + 3*f**2*j - 2*f**2 + 35*f*j - f + 48411*j wrt f. 1310364*f*j + 6*j - 4 What is the derivative of -9373*c*s**3 - c*s**2 - 508*c + 10*s**3 - 29*s - 488 wrt c? -9373*s**3 - s**2 - 508 Find the second derivative of -7*g**4 + 10990*g**2 - g - 6116517. -84*g**2 + 21980 Differentiate 84537242*z**2 - 183425672 wrt z. 169074484*z What is the third derivative of -19102032*a**3 - 19992407*a**2 wrt a? -114612192 Find the second derivative of -4681988*l**3 + 4043002*l wrt l. -28091928*l Find the third derivative of 1487*b*d**4 + 8*b*d**2 + 7*b - 452*d**4 - d + 2842 wrt d. 35688*b*d - 10848*d What is the third derivative of -200499*q**3*w**2 + 53*q**3*w - 120*q**2*w**2 - q**2 - 48*q*w + 31*q - 8*w wrt q? -1202994*w**2 + 318*w Differentiate 70475627*d**3 + 25225845 wrt d. 211426881*d**2 What is the third derivative of 5785*i**5 - 2610*i**4 + 10*i**3*v - 284*i**2*v + 5*i**2 - 3*i*v + 2*i - 7*v - 22 wrt i? 347100*i**2 - 62640*i + 60*v What is the derivative of -3899494*m - 17910873 wrt m? -3899494 What is the third derivative of 8697014*s**5 + 244128451*s**2? 521820840*s**2 What is the third derivative of z**5 - 3694535*z**3 - 8801051*z**2? 60*z**2 - 22167210 What is the third derivative of 3*m*n*x**3 - 14*m*n*x + m*n + m*x**3 + 3*m*x**2 + 21*m*x + 7152505*n*x**3 - 2*n + x**3 - 3*x**2 + 79 wrt x? 18*m*n + 6*m + 42915030*n + 6 Find the first derivative of 5651*b**3 + 193*b**2 + 2*b - 36401671. 16953*b**2 + 386*b + 2 Differentiate -21*f**3*q + 7652*f**3 + f**2*q + 915*f**2 + 16587*q with respect to q. -21*f**3 + f**2 + 16587 Find the first derivative of -3661808*a**4 - a**3 + 66610804 wrt a. -14647232*a**3 - 3*a**2 Differentiate -6*l**3 + 197255*l + 28827747 wrt l. -18*l**2 + 197255 Find the first derivative of 445494739*a*b - 472788581*b wrt a. 445494739*b Find the first derivative of 4202837*v**3 + 19162388 wrt v. 12608511*v**2 What is the third derivative of -11718029*y**4 - 23*y**2 + 8586*y wrt y? -281232696*y What is the second derivative of 2*q**5 - 58974*q**4 + 1107*q**3 + 1015606088*q? 40*q**3 - 707688*q**2 + 6642*q Find the third derivative of -9457035*m**4 + 2604041*m**2. -226968840*m What is the second derivative of -24317*x**4 - 285*x**3 - 3*x**2 - 39430124*x wrt x? -291804*x**2 - 1710*x - 6 Find the third derivative of -90490030*a**4 + 17*a**2 - 4849*a - 249. -2171760720*a What is the second derivative of 966*g**3*l - g**3 + 15624*g**2*l + 22757*g*l + 154 wrt g? 5796*g*l - 6*g + 31248*l Find the second derivative of -642*i**2*o**3 + 64*i**2*o**2 - 12*i**2*o + 9*i*o**3 - 3*i*o**2 + 6*i + 175*o**3 + o**2 wrt i. -1284*o**3 + 128*o**2 - 24*o What is the derivative of 3*d*k + 40488024*d - 3647955*k wrt k? 3*d - 3647955 What is the second derivative of -d*i**2*n**3 + 57495*d*i**2*n**2 + 47415*d*i*n**2 - 2*d*i - 18*d*n**3 + d*n wrt i? -2*d*n**3 + 114990*d*n**2 Find the third derivative of 1313119148*g**4 + 218844021*g**2 wrt g. 31514859552*g What is the second derivative of -14235*g**2*t**2*w - 7*g**
{ "pile_set_name": "DM Mathematics" }
7) + sqrt(147))*5)**2*-5. -11520 Simplify (3*(sqrt(198)/(-4*sqrt(9)) + sqrt(22)))/(sqrt(32)*-2 - sqrt(32) - -3*sqrt(2)*-1). -3*sqrt(11)/20 Simplify (-2*(1 + (sqrt(252) + -1*sqrt(252))*3) - (4 + sqrt(42)/(sqrt(12)/sqrt(2)) + sqrt(35)/(sqrt(245) + 2*sqrt(245) - sqrt(245))))**2. 90*sqrt(7)/7 + 1233/28 Simplify 6*(sqrt(275) + 3 + -4 + sqrt(11) + 1) - (-3 + -2 + (1*sqrt(539)*-2)**2 + sqrt(539) + sqrt(539)). -2151 + 22*sqrt(11) Simplify ((sqrt(162) + sqrt(162)*1*-3 + sqrt(162) + 0 + 6*2*sqrt(162) + 0 + sqrt(162) + -4)*-3 + 0 + 3)**2. -9720*sqrt(2) + 210177 Simplify (6*(sqrt(605) - (4*(2*sqrt(605) + sqrt(605)) - sqrt(605)) - (sqrt(605) + -1 + sqrt(605)*-1)))**2 - ((-4*sqrt(220))/sqrt(4))/(sqrt(176)*-6). -47521*sqrt(5)/6 + 2178036 Simplify ((sqrt(60)*2*-2)/(sqrt(40)*4))/(((2*sqrt(486) - sqrt(486)) + sqrt(6))/(sqrt(15)/sqrt(45))). -sqrt(3)/60 Simplify (6*(2*((sqrt(77)*-2 - sqrt(77) - sqrt(77)) + sqrt(77)) + -2*(2*sqrt(77) + sqrt(77))))/(-5*3*sqrt(7) - (sqrt(7) + (sqrt(343)*-2 - sqrt(7)))). 72*sqrt(11) Simplify 5 + (6*(sqrt(40) + sqrt(1440)*-1 - -1*sqrt(160)))/((-2*sqrt(24))/sqrt(3) - 4*sqrt(56)/sqrt(7)). 5 + 3*sqrt(5) Simplify (((sqrt(110) - (sqrt(110) - (sqrt(110)*-2 + sqrt(110)))*6) + sqrt(110))/(-2*sqrt(128) + sqrt(2)))/(-4*2*-1*sqrt(500)). sqrt(11)/120 Simplify (-2*sqrt(120))/(sqrt(96)*2) + 1 + 4 + (1 + -6*1*sqrt(80))**2. -97*sqrt(5)/2 + 2886 Simplify (4*((sqrt(192) + -5)*4 - ((4 + sqrt(48)/sqrt(4) + sqrt(12) - sqrt(12)) + (sqrt(48)/sqrt(4) + sqrt(12) + -5 - sqrt(12)) + sqrt(12)))*1)**2. -15808*sqrt(3) + 38224 Simplify 6*(-3*sqrt(208) + (-3*sqrt(7488))**2 + sqrt(52) + -4 + (0 + sqrt(1300))**2*-1). -60*sqrt(13) + 396528 Simplify -2 + (4 + -2 + sqrt(91)/((sqrt(63) - sqrt(7)) + sqrt(7) + sqrt(7)) - (0 + sqrt(130)/(sqrt(10)*1) + 0))**2. -3*sqrt(13) + 149/16 Simplify ((-1*(sqrt(931) - (sqrt(931) + sqrt(931) + 1 + sqrt(931) + 0)) - -2*(sqrt(931) + sqrt(931) + 0 - sqrt(931))*6) + -2)**2. -196*sqrt(19) + 182477 Simplify -3*(-5*2*((-2 + sqrt(1008) - sqrt(1008) - sqrt(1008))*4 - (sqrt(1008)*1 + 4)))**2. -7603200 - 432000*sqrt(7) Simplify 1 + (2*((sqrt(2299) + 0)*4 + 3 + 2*(3 + -1 + sqrt(2299)))*-3)**2. 33264*sqrt(19) + 2981269 Simplify ((-5*(sqrt(275) + (1*sqrt(275) + 1 - sqrt(275))))**2 + -4*-2*sqrt(33)/sqrt(3) + 4)*6 + -4. 1548*sqrt(11) + 41420 Simplify (3*6*4*sqrt(4500))/((sqrt(9) - 2*(sqrt(9) - sqrt(27)/sqrt(3))) + (sqrt(36) - sqrt(36)*-1)). 144*sqrt(5) Simplify 3*(5 + (sqrt(17) + 2)**2*-3 - (3*sqrt(102)/(4*sqrt(6)))**2). -3243/16 - 36*sqrt(17) Simplify 3*sqrt(102)/sqrt(6)*-1 + 5 - ((3 + sqrt(612)*-1)*6)**2. -22351 + 1293*sqrt(17) Simplify (sqrt(63) + 4 + sqrt(63) + 0 - (sqrt(448) + -4 + 4))**2*-3. -132 + 48*sqrt(7) Simplify ((2*3*(sqrt(380) + (6*(sqrt(380) - sqrt(380)*-2) - sqrt(380)))/sqrt(10))/((sqrt(40)/sqrt(2)*6)/(sqrt(90)/(sqrt(45)/sqrt(5)))))**2. 6156 Simplify 6*sqrt(156)/(sqrt(12) + (sqrt(12) - sqrt(108))) + sqrt(104)/(sqrt(24)/sqrt(3)) + sqrt(39)/(2*sqrt(3)) - (sqrt(195)/sqrt(5)*-6)/(-1*sqrt(363)). -111*sqrt(13)/22 Simplify (-6*(sqrt(130) - -1*sqrt(130)) + sqrt(130) - 3*(sqrt(130)*3 - sqrt(130)))/(((2*sqrt(250) - sqrt(250)) + sqrt(250) + sqrt(250))*4). -17*sqrt(13)/60 Simplify 0 + (sqrt(490)*2*6 - (sqrt(490)*1 - sqrt(490) - sqrt(490))*-5)/(3*sqrt(55)/(2*(sqrt(11) - sqrt(99)))). -196*sqrt(2)/3 Simplify (((sqrt(396) + sqrt(396)*1)*-5*-2)/(sqrt(1296) + (-2*sqrt(1296)*-2 - sqrt(1296)) + sqrt(1296)))**2. 44/9 Simplify (sqrt(5) - (2 + sqrt(40)/sqrt(8)) - 5*(sqrt(5) + 0)) + ((sqrt(220)/sqrt(4)*-6)/(sqrt(1331)*-2))**2. -5*sqrt(5) - 197/121 Simplify ((sqrt(294) - (sqrt(294) + (sqrt(294)*1 - sqrt(294)))*4 - sqrt(294))/(-1*sqrt(384)))/((sqrt(252)*-2 - sqrt(252))*3 + -5*1*sqrt(252)). -sqrt(7)/168 Simplify (4 + 6*4*(3 + 6*(sqrt(612) + -1 + sqrt(612) + 0))*5 + 4)**2. -6082560*sqrt(17) + 1269167104 Simplify (-6*(4*(-3 + sqrt(539) + sqrt(539) + 2 + sqrt(539) + 0 + 3) + 0))**2*-2. -5592960 - 96768*sqrt(11) Simplify 2 + ((6*(sqrt(209) + sqrt(209) + 1*sqrt(209)))/(3*sqrt(176)) + (-1*2*sqrt(304) + sqrt(304) + 4)**2)*-3. -958 + 183*sqrt(19)/2 Simplify ((sqrt(252)*2*3)/(-3*(sqrt(4) + (sqrt(4)*-2 - sqrt(4)))))/(-5*sqrt(900)*-1 - 2*(sqrt(900) + 2*sqrt(900) + sqrt(900) + sqrt(900))). -sqrt(7)/50 Simplify sqrt(192)/((2*sqrt(36))/sqrt(9) - sqrt(4))*-2 - ((sqrt(1200) + -2 - sqrt(1200))**2 - sqrt(1728)*1). -4 + 16*sqrt(3) Simplify ((5*sqrt(77)*3 + sqrt(77)*-5*-5)/(3*(sqrt(448) + sqrt(448) + (-3*sqrt(448) - sqrt(448)))*3))**2. 275/324 Simplify 4 + sqrt(20) + sqrt(200)/(5*sqrt(10)) - (sqrt(180) + 1 + (-4 + sqrt(5))*-2). -5 - 8*sqrt(5)/5 Simplify -2 + (3*(sqrt(171)*1 + sqrt(171))*5*-1)/(sqrt(144)/((sqrt(48)*-1)/sqrt(12))). -2 + 15*sqrt(19) Simplify (1*3*sqrt(102) - (sqrt(102) - ((sqrt(102) + (sqrt(102) - sqrt(102)*-3))*6 - sqrt(102))))/(sqrt(384)*-2 + sqrt(6) + sqrt(216)*-6 + sqrt(6)). -31*sqrt(17)/50 Simplify (-6*(-5*(sqrt(88) - sqrt(88)*1) - -3*(sqrt(88) - sqrt(88)*-2))/(sqrt(1152) - 6*(sqrt(1152) - (sqrt(1152) + sqrt(1152)*-2))))**2. 81/44 Simplify (4*sqrt(220)*-3 + -2*1*sqrt(220))/(6*sqrt(275)*-1 - sqrt(275)*1*4). 14*sqrt(5)/25 Simplify (1*sqrt(396) - (sqrt(44) + sqrt(1100)*5))/(sqrt(16)/(sqrt(24)/sqrt(6)*-2))*2. 92*sqrt(11) Simplify 6*(sqrt(33) + sqrt(297) + sqrt(297) + sqrt(297)*-1 - (sqrt(2673)*2 + sqrt(2673)))/(sqrt(11) - sqrt(99)/sqrt(144) - 2*sqrt(11)*1) + -4. -4 + 552*sqrt(3)/5 Simplify ((sqrt(1872) + (sqrt(1872) - (sqrt(1872) + 2))*-1 + (5*((-1*sqrt(156) - sqrt(156)) + sqrt(156)))/sqrt(3))*-3)**2. 72*sqrt(13) + 504 Simplify (sqrt(65)*1*-4 + sqrt(65) - sqrt(65) - ((sqrt(65) + sqrt(65)*-3 + sqrt(65))*1 + sqrt(65)))/(sqrt(20)*4 + sqrt(5) + (sqrt(80)*1 - sqrt(5))). -sqrt(13)/3 Simplify (-3 + ((-4*(-3 + 1 + sqrt(147)))**2 - ((sqrt(147) - (-5 + (sqrt(147) - (sqrt(147) + sqrt(147) + 1*sqrt(147)))))*3)**2))*4. -38876 - 9352*sqrt(3) Simplify -2*(-6*(sqrt(11) - ((sqrt(11) - sqrt(44)) + 4)) + 3 + (sqrt(352)/sqrt(2) - sqrt(11) - 4*(0 + sqrt(11)))**2). -76 + 24*sqrt(11) Simplify ((4*sqrt(1700)*-2 + sqrt(1700))*1 + (sqrt(1700) + 1 + 0)**2 + -2*2*sqrt(1700))*6. -540*sqrt(17) + 10206 Simplify (-6*4*3*2*sqrt(275)*5 + 1)**2. -7200*sqrt(11) + 142560001 Simplify -2 + (-3*(sqrt(1100) - sqrt(1100)*4)*3 + sqrt(1100) + 1 + 4*sqrt(1100) + -5)**2. -2560*sqrt(11) + 1126414 Simplify (-4 + -5 + -1 + -1 + sqrt(11) + 0)**2 + (2*sqrt(11)*-1 - 4*(-2 + sqrt(11))) + -4. -28*sqrt(11) + 136 Simplify -5*(0 + ((sqrt(325) + -2)*1 - sqrt(325)) + 6*2*sqrt(325) + 4)**2. -234020 - 1200*sqrt(13) Simplify ((-2*sqrt(72))/sqrt(6))/(5*sqrt(20)/sqrt(5) - sqrt(4)) + ((sqrt(75) + -1)*4 - (sqrt(75) + 1 + -2))**2. -181*sqrt(3)/2 + 684 Simplify ((sqrt(5)*-4 - sqrt(5))*-5 + sqrt(245)*-4 - 3*((sqrt(90)/sqrt(2))/sqrt(9) + (sqrt(5) + (2 + -1*sqrt(5) - sqrt(5)) - sqrt(5))))**2. 36 Simplify -3 + (-4*(5 + 1 + (-6*(-1 + sqrt(176)) - (sqrt(176)*-4 + -1 - sqrt(176)))))**2. -1664*sqrt(11) + 5517 Simplify (3*-5*sqrt(500)*-3 - (-1 + 2 + sqrt(500) + 1))**2*-4. -3872016 + 7040*sqrt(5) Simplify -5 + (2*(2*1*sqrt(7) + -3) + (sqrt(84) - (sqrt(84) - (sqrt(84)*-2*-3 + sqrt(84))))/sqrt(12)*2)*-2. -36*sqrt(7) + 7 Simplify 1*(1 + -3*5*3*(5 + 2*sqrt(147) + sqrt(147) + sqrt(147) + -3*(sqrt(147) - -1*sqrt(147)) + sqrt(147))**2). -7739 + 3150*sqrt(3) Simplify ((sqrt(76) - (-2*sqrt(76) + 1))**2 + (sqrt(76) - (4 + ((sqrt(76) - (sqrt(76) + sqrt(76) + 0)) + sqrt(76))**2)) + -1 + 3)*-5. -3415 + 50*sqrt(19) Simplify (-5 + (sqrt(2448)*-2 + 0 + sqrt(2448)*-3 + -1 - (5 + 1*(sqrt(2448) + -5))))**2 + 0. 864*sqrt(17) + 88164 Simplify (sqrt(88) - (sqrt(88) - (sqrt(88) + -2*-3*sqrt(88))) - 2*2*sqrt(88))/(5*-2*sqrt(8) - -4*sqrt(32)/sqrt(4)). -sqrt(11)/2 Simplify 1*(sqrt(363) - (2 + sqrt(363) + -3)) + (3 + (sqrt(363) + 0)**2)*2. 733 Simplify (2*sqrt(130)*2)/((sqrt(1440) - 3*sqrt(1440)) + sqrt(1440)) - ((3*sqrt(65)*-1 - sqrt(65)) + sqrt(65))/((sqrt(40) - sqrt(360))/sqrt(8)). -11*sqrt(13)/6 Simplify (-6*(-3 + 2*sqrt(147)*-2 + 0 + (sqrt(147) - (sqrt(147) - (sqrt(147) - (2*sqrt(147)*-3 - sqrt(147)) - sqrt(147)))))*-3)**2. -40824*sqrt(3) + 431568 Simplify (5*-4*2*sqrt(77)*-1)/((sqrt(110) - sqrt(110)*2)/sqrt(10) + (sqrt(132) + -2*sqrt(132))/sqrt(12)). -20*sqrt(7) Simplify ((sqrt(77) + (sqrt(77) - (sqrt(77) + sqrt(77)*4 + sqrt(77))) + sqrt(77) - sqrt(77) - sqrt(77))*6)/sqrt(7)*4 - (-1*((sqrt(539) + 3)*-5 + sqrt(539)))**2. -8849 - 960*sqrt(11) Simplify -4*((-1*sqr
{ "pile_set_name": "DM Mathematics" }
rob of sequence ulin when four letters picked without replacement from {l: 7, u: 3, i: 4, c: 2, n: 1}. 1/680 Calculate prob of sequence nzn when three letters picked without replacement from inzna. 1/30 Four letters picked without replacement from {c: 7, x: 5, i: 1}. What is prob of sequence xxix? 1/286 Calculate prob of sequence mm when two letters picked without replacement from {m: 1, k: 1, v: 2, d: 8, f: 2}. 0 What is prob of sequence cyc when three letters picked without replacement from {y: 2, m: 2, c: 8}? 14/165 Four letters picked without replacement from {j: 4, h: 1, m: 2, d: 2}. What is prob of sequence jdjm? 1/63 Calculate prob of sequence ca when two letters picked without replacement from {a: 2, c: 7}. 7/36 Two letters picked without replacement from {g: 10, w: 4}. What is prob of sequence ww? 6/91 What is prob of sequence xmo when three letters picked without replacement from nmmmmxnmxmanoxmmmgo? 3/323 Two letters picked without replacement from {o: 1, s: 1, v: 2, n: 1, b: 2, m: 1}. What is prob of sequence so? 1/56 Two letters picked without replacement from {e: 7, y: 2, u: 1}. What is prob of sequence ey? 7/45 Three letters picked without replacement from rzzzzzzzrzrzfzbfzff. What is prob of sequence fbr? 2/969 What is prob of sequence euee when four letters picked without replacement from {u: 7, e: 3}? 1/120 What is prob of sequence hhh when three letters picked without replacement from bbbbbbbbhbbbbbbbbhhb? 1/1140 What is prob of sequence oo when two letters picked without replacement from {o: 14, k: 5}? 91/171 Two letters picked without replacement from {h: 12, f: 6}. Give prob of sequence fh. 4/17 What is prob of sequence mm when two letters picked without replacement from mmmmmm? 1 Calculate prob of sequence vz when two letters picked without replacement from {i: 1, v: 1, z: 1}. 1/6 What is prob of sequence zjss when four letters picked without replacement from {s: 2, z: 3, j: 3}? 3/280 Two letters picked without replacement from {u: 16, o: 2}. What is prob of sequence uo? 16/153 Four letters picked without replacement from {k: 4, n: 2, j: 2, z: 1, y: 1}. Give prob of sequence nnjz. 1/1260 What is prob of sequence hhhe when four letters picked without replacement from hhhheeehhhh? 7/55 Four letters picked without replacement from {d: 6, a: 2, c: 3, f: 2, u: 3}. What is prob of sequence fudd? 3/728 Calculate prob of sequence nnln when four letters picked without replacement from {l: 1, n: 2, x: 1, o: 4}. 0 What is prob of sequence llif when four letters picked without replacement from {s: 2, l: 4, i: 1, f: 4, o: 3}? 2/1001 Four letters picked without replacement from iddddii. Give prob of sequence idid. 3/35 What is prob of sequence oo when two letters picked without replacement from {y: 1, h: 4, o: 1, g: 1, k: 5}? 0 Two letters picked without replacement from mubcztb. What is prob of sequence mc? 1/42 Four letters picked without replacement from uuuuuuuuuu. What is prob of sequence uuuu? 1 Four letters picked without replacement from iiefuhfmfhi. What is prob of sequence iume? 1/2640 What is prob of sequence tlg when three letters picked without replacement from {c: 1, t: 1, j: 1, g: 1, l: 1}? 1/60 Four letters picked without replacement from {g: 1, k: 1, c: 1, s: 2, t: 1, p: 1}. Give prob of sequence tgcs. 1/420 Calculate prob of sequence hp when two letters picked without replacement from phhhhphphhh. 12/55 What is prob of sequence lmmm when four letters picked without replacement from {l: 1, t: 5, m: 1, v: 2}? 0 What is prob of sequence nns when three letters picked without replacement from nnsha? 1/30 Three letters picked without replacement from {m: 5, w: 1, x: 11, h: 3}. What is prob of sequence whh? 1/1140 What is prob of sequence bvgv when four letters picked without replacement from ggfvbvggfgfevgev? 3/1820 Calculate prob of sequence uu when two letters picked without replacement from {u: 6, g: 7}. 5/26 Three letters picked without replacement from nddnz. What is prob of sequence nnz? 1/30 Calculate prob of sequence jjjc when four letters picked without replacement from atdcjjjjdicji. 1/143 Two letters picked without replacement from mmwpipwwpimgg. What is prob of sequence wi? 1/26 What is prob of sequence bbj when three letters picked without replacement from {b: 2, j: 3}? 1/10 Two letters picked without replacement from {q: 3, w: 9}. What is prob of sequence qw? 9/44 What is prob of sequence oyy when three letters picked without replacement from yoyyyoyoyoyo? 7/44 What is prob of sequence jksp when four letters picked without replacement from {p: 3, k: 1, s: 1, l: 4, m: 1, j: 2}? 1/1980 What is prob of sequence oop when three letters picked without replacement from {f: 1, x: 4, o: 8, p: 7}? 49/855 Four letters picked without replacement from zbbrnboonnsnonnb. What is prob of sequence zbon? 3/1820 Three letters picked without replacement from {g: 2, k: 2, d: 1, t: 1, v: 2, h: 1}. Give prob of sequence tdv. 1/252 What is prob of sequence jeme when four letters picked without replacement from emjmmjmemeqmj? 9/1430 Two letters picked without replacement from {n: 1, j: 1, a: 1, u: 2, d: 6, b: 4}. Give prob of sequence an. 1/210 What is prob of sequence jfdj when four letters picked without replacement from fooojodfj? 1/756 Two letters picked without replacement from kkvskvksww. Give prob of sequence ws. 2/45 Calculate prob of sequence ic when two letters picked without replacement from {l: 2, i: 1, c: 1, m: 1}. 1/20 Four letters picked without replacement from {j: 2, c: 3, a: 2, f: 3, t: 2, v: 6}. Give prob of sequence cfft. 1/2040 What is prob of sequence lnq when three letters picked without replacement from {l: 1, n: 1, q: 1}? 1/6 What is prob of sequence td when two letters picked without replacement from tottttooftdtioi? 1/30 What is prob of sequence vnf when three letters picked without replacement from fxbnv? 1/60 Two letters picked without replacement from oooo. What is prob of sequence oo? 1 Four letters picked without replacement from ndhppnpennmpdmhmmnhn. What is prob of sequence ephn? 1/1615 Two letters picked without replacement from {r: 11, k: 1}. Give prob of sequence rr. 5/6 Two letters picked without replacement from {b: 1, p: 4, w: 2}. Give prob of sequence wb. 1/21 Two letters picked without replacement from {q: 4, c: 6}. Give prob of sequence qc. 4/15 Calculate prob of sequence vb when two letters picked without replacement from tvlibtbtt. 1/36 Three letters picked without replacement from {e: 2, m: 2, g: 2, j: 3}. What is prob of sequence jem? 1/42 What is prob of sequence vm when two letters picked without replacement from {z: 2, p: 1, y: 1, m: 5, v: 3}? 5/44 Four letters picked without replacement from {h: 6, y: 2, q: 4}. Give prob of sequence qqyy. 1/495 Calculate prob of sequence ss when two letters picked without replacement from fsfffffs. 1/28 Calculate prob of sequence sc when two letters picked without replacement from asaaczazzzcazcc. 2/105 Four letters picked without replacement from ebbee. Give prob of sequence ebeb. 1/10 What is prob of sequence bz when two letters picked without replacement from {a: 6, s: 2, y: 2, b: 2, h: 2, z: 3}? 3/136 Three letters picked without replacement from qqqooo. Give prob of sequence qoq. 3/20 Calculate prob of sequence iir when three letters picked without replacement from rpiiipiriivii. 28/429 Three letters picked without replacement from {t: 11, r: 1}. Give prob of sequence ttr. 1/12 Two letters picked without replacement from {z: 1, t: 2, p: 1}. What is prob of sequence tz? 1/6 Two letters picked without replacement from kkzeeke. What is prob of sequence zk? 1/14 Three letters picked without replacement from {r: 3, z: 4, a: 5}. What is prob of sequence zzr? 3/110 Two letters picked without replacement from aap. What is prob of sequence pa? 1/3 Two letters picked without replacement from {j: 3, w: 1, e: 2, m: 3, l: 1}. Give prob of sequence jl. 1/30 Calculate prob of sequence dqw when three letters picked without replacement from {z: 3, d: 2, w: 2, q: 6}. 2/143 Calculate prob of sequence www when three letters picked without replacement from wwtgwttt. 1/56 Four letters picked without replacement from {h: 4, i: 2}. Give prob of sequence hiih. 1/15
{ "pile_set_name": "DM Mathematics" }
3*f + 0 - 28 - 241*f + 31 - 3 to a*f + q and give a. -237 Rearrange (-75*l**2 - 2396*l + 2381*l + 39*l**2)*(3*l - 4*l + 2*l) to n*l + u*l**2 + h + g*l**3 and give u. -15 Rearrange -176*d + 96*d + 98*d + (0 - 1 + 3)*(-d + d - d) + 5*d - d - 3*d + 2*d + 0*d - 3*d to r*d + m and give r. 16 Rearrange -j**2 - 291*j - 83 + 112*j**3 + 77 + 291*j - 2*j**2 to w*j + d*j**3 + s + b*j**2 and give s. -6 Express -255*h**2 + 2*h + 4*h**3 + 0 + 17 - 11 - 8 - 3*h**3 as k*h**2 + l*h**3 + m + y*h and give k. -255 Rearrange (1 + 1 - 1)*(-33 + 31 - 63)*(7*w - 4*w + 16*w) to the form q + a*w and give a. -1235 Rearrange 2 + 187*o - 11 - 560*o + 186*o + 171*o to the form g + j*o and give j. -16 Rearrange (-3638 - 42080 - 95967 + 15524)*(-2*q**2 - 2*q**4 + 3*q**2 + 0*q**2) to the form w*q**2 + v*q**3 + r*q + m + u*q**4 and give w. -126161 Rearrange (-5*n**3 + 2*n**2 - 2*n**2)*(-1532 + 4330*n + 752 + 778 - 21256*n) to k + c*n**3 + x*n**4 + l*n + p*n**2 and give x. 84630 Rearrange -2*k**2 - 3*k**2 + k**2 - 3 + 3 + 2*k**2 + (26*k - 67*k - 9*k)*(0*k + k + k) to the form h*k**2 + p*k + t and give h. -102 Rearrange -2*y**2 + 56*y - 47*y - 53*y - 17*y + 4*y**2 + 2 to f*y**2 + i*y + m and give i. -61 Rearrange (189*a + 15*a**2 + 140*a - 333*a - 14)*(15 - 15 - 3*a)*(a - 5*a + 2*a - 7) to b*a + c*a**3 + g*a**2 + o + z*a**4 and give c. 291 Express 887 + 15*n - 6*n - 897 + 2*n in the form r*n + k and give k. -10 Express 1212*b**3 + 1116 - 2*b**4 - 2228 + b + 1114 as j*b**2 + g*b**4 + y*b + w*b**3 + l and give j. 0 Rearrange -373 + 192 - 1179*d + 182 to o + m*d and give m. -1179 Rearrange 29*m**2 - 8*m**2 + 14*m**2 + 59*m**2 + 47*m**3 + m + 3 - 49*m**3 to the form g + a*m + t*m**2 + n*m**3 and give n. -2 Express (-3*x + 0*x + x)*(2193 + 1576 - 2278) as p + f*x and give f. -2982 Rearrange -150*q**2 - 12 - 4*q**4 - 4 + 183*q**2 + 2*q**4 to g*q + b*q**3 + o*q**2 + v + a*q**4 and give v. -16 Rearrange (51 + 27 - 11)*(-23*o + 124 + 70*o - 45*o) to g*o + n and give n. 8308 Express (-3939*p + 449*p + 711*p)*(4 - 2 + 0)*(-4 + 4 - 3*p) as i + s*p + a*p**2 and give a. 16674 Express 623*n**3 + 2 - 353*n**3 - 271*n**3 + 6*n - 3*n**2 as m*n**2 + y*n + q + f*n**3 and give m. -3 Rearrange (0*u - 5*u + 2*u + (-1 + 0 + 3)*(1 - 2*u - 1))*(u**2 - 3*u + 1843 - 2*u - 1664) to i*u**3 + v + l*u**2 + a*u and give a. -1253 Rearrange -165 + 912*b**2 + 681*b**2 + b + 330 - 163 + 0*b to u + c*b + m*b**2 and give u. 2 Rearrange (591 - g - 35 - 279)*(74*g**3 - 34*g**3 - 35*g**3) to j*g + r*g**2 + a*g**3 + p*g**4 + n and give p. -5 Express -70*x**2 + 511 + 12*x**2 + 27*x**2 + 14*x**2 as n*x + k*x**2 + p and give p. 511 Rearrange 84*j + 87*j - 262*j + 88*j + 203 to x*j + c and give x. -3 Express 978*t**2 + 1241*t**2 + 432*t**2 + 2027*t**2 + 965*t**2 as q*t + s + d*t**2 and give d. 5643 Rearrange ((10 - 8 + 10)*(-3 + 1 + 1) + (-1 + 1 - 3)*(-3 + 5 - 1))*(-101 + 199 + 62*g - 97) to j + n*g and give j. -15 Rearrange 229*s - 79*s - 145*s**3 - 74*s + 2 - 77*s to the form u*s**3 + i*s**2 + w + o*s and give o. -1 Rearrange -14 - 579*o + 581*o - 141*o**2 + 10*o**2 to the form u + g*o**2 + y*o and give g. -131 Express 21552*d + 25661*d - 19212*d as r + n*d and give n. 28001 Rearrange (-4 + 8 + 6)*(-1 - 4*r + 1) + 35 - 82 + 47 + 175*r to the form x*r + v and give v. 0 Rearrange (111 + 22*s - 111)*(0 - 1 + 3)*(1211 + 33772*s - 33774*s - 92) to p + a*s + o*s**2 and give p. 0 Express f**4 - 171 - 5*f**2 + 173 + 9*f**2 + 2*f**4 - f as t*f + l + r*f**2 + d*f**4 + g*f**3 and give l. 2 Express -92*n**4 + 2 + 27*n**2 - 3*n + 188*n**4 - 9*n**3 - 4*n + 4*n - 94*n**4 in the form d*n**2 + v + t*n**4 + s*n + c*n**3 and give d. 27 Rearrange 2*c**4 + 5*c**4 + 31 - 7*c**4 + 3*c - 5*c + 7*c**2 + c**4 + 5*c**3 to the form v*c**4 + m + b*c + x*c**2 + p*c**3 and give v. 1 Rearrange (-19*m - 1 + 20*m + 3)*(-2 + 0 + 0) + (22 - 24 - 46)*(-4 + 4 - m) to the form j + x*m and give j. -4 Express (0 + 4 - 5)*(0*u - 2*u + 3*u) + 3028*u - 8379*u + 3083*u as h*u + n and give h. -2269 Rearrange (-6*i + i + 3*i)*(-15 - 5 + 451*i - 52*i - 154*i - 53*i) to j*i**2 + p*i + l and give j. -384 Rearrange 1 - 10 - 889*y + 1 + 4 + 2 to j + b*y and give b. -889 Rearrange (-1941*c - 508 + 3925*c - 1988*c)*(1 + 0 - 3) to the form i*c + h and give h. 1016 Express -65 - j - 73340*j**3 + 146698*j**3 - 73365*j**3 + (3*j**2 - j**2 - j**2)*(-3 + 3 + 2*j) as w*j**3 + p*j + q*j**2 + u and give p. -1 Rearrange 32*y**3 + 3*y**2 - 62255 + 17*y - 62259 + 124512 to the form j + n*y + d*y**2 + u*y**3 and give j. -2 Express 199*j - 40*j - 50*j - 46*j - 49*j - 5 as a + t*j and give t. 14 Express 145*d - 680*d - 721*d as m + x*d and give x. -1256 Express a - a + a**2 + (-1 + 2 - 3)*(303*a**2 - 368*a**2 + 1928*a**2) + 0*a**2 + 0*a**2 - a**2 as m*a + r + z*a**2 and give z. -3726 Express (1 - 7 + 3)*(14*t**3 - 12*t**3 - 18*t**3) - 7*t**3 + 6 - 4 + 41*t**3 in the form s*t**3 + f + o*t + c*t**2 and give f. 2 Rearrange ((5 - 5 + 2*x)*(30 + 54 - 6) + 2*x - x - 5*x)*(-28*x**2 - 21*x**2 + 47*x**2 + x) to a*x**2 + q*x + r*x**3 + y and give a. 152 Express (2667*a - 453*a + 2282*a)*(1 - 2 - 1) in the form v*a + y and give v. -8992 Express -24 + 8*k + 15 - 21*k + 39 + 150 as v*k + t and give t. 180 Rearrange 13 + 9*o + 259*o + 4 - 38 - 4 to a*o + z and give z. -25 Rearrange (7*i - 7*i**3 - 7*i)*(2378*i - 397*i + 2255*i - 747*i) to the form m*i + g*i**4 + n*i**2 + w*i**3 + k and give g. -24423 Express (-2 + 1 + 3)*(16*q + 6*q**3 - 16*q) + 28*q**3 - 32*q**3 + 4*q**2 - 5*q**2 + q**3 + 6 - 4 + q**3 in the form f*q**3 + t*q**2 + u*q + k and give k. 2 Rearrange (4 + 2*b - 4)*(2*b - 1 + 1) - 2*b**2 - 1 + 1 + 477 - 1232 + 107*b**2 - 106*b**2 - 7377 - 1343 to the form f + t*b + j*b**2 and give j. 3 Rearrange (0 - 7 - 5)*(-3*u - 2*u + 4*u)*(-3 + 1 + 4) + 11 + 21*u - u - 23*u to the form i*u + y and give i. 21 Express (-997 - 454 - 815)*(5 - 3 - 4)*(-k**4 + k**4 + 3*k**4) + k + 4*k**4 - 4*k**4 + k**4 as o*k**3 + m*k**2 + i*k**4 + z + n*k and give i. 13597 Rearrange (5 - 8 - 6 + i + (3 + 2*i - 3)*(2 + 1 - 1))*(0*i + 0*i - 2*i) + 5*i - 5*i + 2*i**2 to o*i**2 + u + r*i and give o. -8 Express 125070*h + 6 - 125068*h + 101*h**2 - 6 as l + s*h**2 + r*h and give r. 2 Express (-2 - 2*s**2 + 2)*(11076133 + 628*s - 11076133) as z*s**3 + g*s + a + t*s**2 and give z. -1256 Rearrange 33 - 9*k + 30 - 445*k**3 - 65 + 68*k**3 to the form r + o*k**2 + j*k + d*k**3 and give d. -377 Express 1059 - 2114 - 18*m**4 - 2*m**4 + 1058 + 2*m**2 + 3*m**3 in the form p*m**2 + v*m + u + a*m**4 + i*m**3 and give i. 3 Rearrange 577*r - 2105*r - 1749*r - 795*r to the form c*r + j and give c. -4072 Express (-297*p + 171*p - 238*p)*(15 - 3 - 36) in the form u + v*p and give v. 8736 Rearrange -n**3 - 1491598*n + 1491598*n - 923*n**4 + (-16*n**4 - 11*n**3 + 32*n**4 - 15*n**4)*(1 + 2 - 5) to t*n**3 + g*n + z*n**4 + l + i*n**2 and give g. 0 Rearrange -14 + 118*y**2 - 165*y**2 - 2*y + 15 + y**3 to p + w*y**2 + k*y**3 + m*y and give m. -2 Rearrange 86 + 2331*w**2 + 517*w - 520*w - 86 to a*w + r + q*w**2 and give a. -3 Express -26 + 14*b - 8*b - 14*b - 26*b**2 + 26 as q*b + v + x*b**2 and give q. -8 Rearrange 9279*k - 19102*k - 5415*k - 15059*k - 2368*k to the form c*k + h and give h. 0 Rearrange (m**2 - 2*m + 2*m)*(6*m + 2*m - 4*m)*(-83*m - 86*m + 58*m) to the form c*m**2 + w + u*m**4 + z*m**3 + s*m and give u. -444 Rearrange (9 - 2 + 0)*(-1149*f**2 - 547*f**2 - 334*f**2) to k*f + b*f**2 + j and give b. -14210 Express (-3 + 2 - 1)*((3 - 3 - 1)*(3 + 0 - 4) - 4 + 0 + 5)*(0*t + t - 20*t)*(-3 - 2 + 3)*(33*t + 13*t - 6*t) in the form b*t + j + d*t**2 and give d. -6080 Rearrange (14*a - 14*a - 19*a)*(-112*a**2 + 46*a**2 - 41*a**2)*(-a + a - 2*a)*(-5 + 6 - 4) to the form p*a**4 + j + w*a**2 + m*a**3 + u*a and give p. 12198 Express (-56835 - 56849 + 113634 - 19*h + (-3 + 0 + 2)*(3*h - 6*h + h))*(h + 16 - 16 + (4*h + 0*h - 3*h)*(1 - 2 + 3)) in the form v + m*h**2 + z*h and give m. -51 Express -6576*d + 171 - 553 + 189 + 189 + (6*d - d - 4*d)*(2 + 0 - 3) as a*d + z and give a. -6577 Express (41*k**2 - 1383*k**2 - 245*k**2)*(6*k - 3*k - k + 9*k) as q*k**3 + x*k + m + w*k**2 and give m. 0 Express (-6*s + 6*s + 13*s + (2*s - 6*s + 2*s)*(3 + 3 + 1))*(1 - 2 + 2)*(s - 2*s + 4*s) as w + v*s**2 + i*s and give v. -3 Express (-7*h - 72*h - 15*h)*(-h - 4 + 4) +
{ "pile_set_name": "DM Mathematics" }
e 9 + 13 = 2*q + 4*f, -q = -4*f + 13. Suppose 0 = -m - 2*m + 15, q*u + 4*m = 29. Suppose u*x - 940 - 2177 = 0. Is x composite? False Suppose -8*g - 20892 = 36404. Let f = g + 12059. Is f composite? True Suppose -1375 = -4*b + 1825. Suppose 2*d + 8 = 0, 489 = l - d - b. Is l prime? False Is (21 - 12) + (-4 - -5) + 213859 prime? False Let j = -24 + 20. Let u(n) = n**3 + 3*n**2 - 6*n - 6. Let x be u(j). Is 1/((-1826)/914 + x) composite? False Suppose 0 = o - 2*r + 6*r - 21, -r = -4. Suppose -4*p - 2*j = -3064, -o*j - 2616 = -4*p + 448. Is p prime? False Let c be (3 - (-6 - 2)) + 5. Suppose -5*f + 62 = -4*s, -f + 2*s + c = 3*s. Suppose -24837 = -f*g - 7169. Is g composite? True Let k = 222 - 185. Suppose 0 = 47*c - k*c - 17570. Is c a composite number? True Let k be 12/3 - (-12)/2. Let f(n) = 12*n**2 - 8*n + 93. Is f(k) prime? True Is 11007510/54 + (-48)/(-216) a prime number? True Let f = 100236 - -150421. Is f a prime number? False Let s = 20 - 12. Let u(d) = 259*d + 55. Is u(s) prime? False Suppose -3*a - 8 = -5*a. Suppose -o + 5*w - 10500 = -6*o, -a*o - 2*w = -8402. Is o prime? False Suppose -33 - 21 = -6*x. Is (-49275)/(-243) + ((-16)/x - -2) prime? False Let q = 8831 - -29386. Is q a composite number? True Suppose -14*a = -8*a - 924. Suppose -l + b + a = -155, -3*b = -15. Is l prime? False Suppose 5*l = 7*f - 5*f + 2, 12 = -4*l + 5*f. Is (-897 + -1)/l*-1 a prime number? True Let o(d) = d**2 - 23*d + 104. Let u be o(-27). Let p(y) = -y + 1. Let a be p(-6). Suppose u + 2193 = a*f. Is f prime? True Let k = 50 - 47. Let f(w) be the first derivative of 117*w**3 + w**2/2 - 7*w - 48. Is f(k) a composite number? True Let n(b) be the third derivative of -29*b**6/144 - b**5/20 + 11*b**4/8 + 5*b**2. Let m(o) be the second derivative of n(o). Is m(-5) composite? False Let j be (-56)/(-644) - (-6)/(-69). Suppose c - 3735 = -3*l + 798, -4*c = j. Is l composite? False Let n be (-16 - -18) + 1 + -1. Let q(b) = 1075*b**2 - 3*b + 3. Let s be q(n). Let i = s + -2816. Is i a composite number? False Suppose 31*o - 2808799 = 1964922. Is o composite? False Let w be ((-3)/(-6)*-2)/(3/6). Let n be -3 + (-3009)/(-6) + 1/w. Let c = n - -785. Is c a prime number? True Suppose -3*n = 680 - 4703. Suppose 0 = 2*k - 0*k - 10392. Suppose -3*y = -k + n. Is y prime? False Let g = 474230 - 78657. Is g a composite number? True Let m = -389188 + 659001. Is m a prime number? False Suppose 0 = -32*y + 28*y + 151152. Suppose -71*f - y = -83*f. Is f a composite number? True Suppose 0 = -25*y + 26*y - 3425. Suppose b - 2*l - y = 0, 2*b - 3*b - l + 3410 = 0. Is b a prime number? False Suppose -4*d + 1014 = -5*p, -4*p + 270 = -3*d + 1031. Suppose 7662 - d = v. Is v composite? False Let x be 6/(6/10040*5). Suppose -4*m + x = 4*m. Suppose g + g = -3*r + m, -411 = -5*r + 4*g. Is r a prime number? True Let f(g) = 19850*g**2 + 83*g + 82. Is f(-1) a composite number? True Let p(t) = 58*t - 34. Suppose 3*a + 25 = -29. Let s = a + 32. Is p(s) a prime number? False Let r(w) = -156 - 7*w + 25*w - 7*w**2 + 155 - 2*w**3. Let i(q) = -q**3 - 8*q**2 - 6*q - 1. Let m be i(-7). Is r(m) prime? True Let l(h) = 20*h + 25. Let g be ((-9)/(-4))/(-1 - 129/(-120)). Suppose -5*c + 10 = -g. Is l(c) a composite number? True Suppose 5*a - 97 = i, 3*i + 0*i + 82 = 4*a. Suppose -122402 - 48579 = -a*g. Is g a composite number? False Let c = -792 + 776. Is (2/(-6))/(c/1218480) a composite number? True Let n be (252/27 + -9)/((-1)/(-9)). Suppose n*s + 19*s - 14982 = 0. Is s composite? True Let o = -178545 + 259576. Is o a prime number? True Suppose -i + 17446 + 3696 = 5*f, -5*f - 63406 = -3*i. Is i prime? False Let k(v) = -99*v**3 + 6*v**2 - 20*v + 7. Is k(-6) prime? True Let w be -9 - -6 - 2/(6/(-486663)). Is w/42 - (-3)/(-9) a composite number? True Suppose -4*h - 70 = 3*y, 0*h = -3*h - 2*y - 52. Let n(o) = -o**3 - 10*o**2 - 7*o + 9. Is n(h) a composite number? False Let o = -35265 + 53875. Is o - (1/((-4)/16) + 1) composite? True Let y = 1173509 - 781366. Is y prime? True Suppose 36*u + 424500 = 46*u. Suppose 12*n - u + 7902 = 0. Is n prime? True Let s(m) = -6*m - 12 - 25*m - 31*m**3 + 9*m**2 - m**3. Let g be s(-9). Suppose -19*b = -23*b + g. Is b prime? False Let u(o) = -5*o - 18 + 6*o - 631*o**2 + 33*o**3 + 621*o**2. Is u(5) composite? True Let c = -39155 - -74986. Is c prime? True Let i(z) = 18*z**2 - 19*z + 59. Let p be 38/171 - 79/(-9). Is i(p) composite? True Suppose 238 = 3*g - w - w, -20 = -5*w. Suppose 2*t - a = 3*a - g, 0 = 2*t - 2*a + 88. Let v = 868 + t. Is v a composite number? False Suppose -w - 177145 = -2*l, l + w = 50164 + 38410. Is l a prime number? False Let d(a) = -130814*a**3 + 6*a**2 + 13*a + 7. Is d(-1) composite? True Let v(j) = -137*j - 24. Let m be v(-8). Suppose -s + 4*o = -3*s + m, -3*s + 1597 = -5*o. Suppose 2*y + 5*r = s, 2*y + 2*r = -y + 790. Is y a composite number? True Let m(b) = 58*b**2 + 5*b + 1171. Is m(-68) composite? False Suppose -2 = h - 12. Let u = h - 14. Is 2/2*-1*(-15 + u) a composite number? False Suppose -4*p = 2*r + 8, 2*p - r = -1 + 5. Suppose -14*d - 11*d + 74125 = p. Is d prime? False Suppose 4*x - 530757 = l, -l + 510380 = 5*x - 153064. Is x a composite number? False Suppose -4674*r = -4670*r - 2585588. Is r a composite number? False Let i(h) = h**3 - 11*h**2 - 12*h + 4. Let z be i(12). Let p be (20 + 0)*2/z. Is (-1)/(-5) - (0 + (-14778)/p) a composite number? True Suppose 0 = -r - 5*r - 2*r. Let i(q) = -18*q + 18347. Is i(r) a composite number? True Let i(k) = 38*k + 49. Suppose -4*y + 4*r - 9 = -3*y, -14 = y - 5*r. Is i(y) a composite number? False Suppose 0*u + 4*d - 37 = -5*u, -5*d + 5 = -2*u. Suppose -u*a - 7 = -52. Suppose 8*b = a*b - 1121. Is b prime? False Suppose -4*u + 11*u = 42. Suppose 1877 = u*j - 1609. Is j prime? False Suppose 0*i - 11 = -2*i + y, -2*i - y + 9 = 0. Is (i - (-27372)/(-32))*-8 a composite number? False Suppose 10*x = 6*x + 21612. Let m = -3722 + x. Is m a composite number? True Suppose 4*m = -4*h + 146 - 10, 4*m - 170 = -5*h. Let k(x) = 58*x + 47*x - 110*x + h. Is k(-20) a composite number? True Let r be 2267/6 + 8/48. Let c = 41 + r. Is c a composite number? False Let z(a) = 9*a**3 - 5*a**2 + 5*a + 7. Let f = 91 + -83. Suppose -5*m = -7*m + f. Is z(m) prime? True Let i be (2*-1)/4 + (-437)/(-46). Suppose -3*x + 4 + 23 = -4*l, 0 = 3*x + i. Is (l/(-3) - -1) + 630 a composite number? True Is 92153 + (-7 - 7)/((-21)/12) prime? False Let f = 19884 + -27864. Let m = 12029 + f. Is m a composite number? False Suppose -105*r + 23262 = -99*r. Suppose r - 106948 = -51*o. Is o a composite number? True Suppose -9*j + 23 = -8*j + 2*p, 19 = 3*j - 4*p. Suppose -26*z = -j*z - 56433. Is z composite? True Let x be 6/10 - (-4697)/5. Suppose 2*i - x = 1468. Let u = i - 525. Is u a composite number? True Suppose -92 = -8*q - 52. Suppose 2686 = 3*g + 5*f, 2*f = -q*g - 3*f + 4460. Is g a prime number? True Let r be (-9)/(-6) + (-182)/4. Let h = r - -247. Is h a composite number? True Let f = 1331 - 702. Suppose -11170 = 624*m - f*m. Is m a prime number? False Let m(a) = a**3 - 24*a**2 - a + 29. Let p be m(24). Suppose 0 = p*h - 4*z - 56203, -2*h + 9*z + 22486 = 5*z. Is h composite? False Let m(b) = 50*b**2 - 35*b + 613. Is m(20) prime? True Suppose -4*z + k = -22003, -2*z + 5*k + 27515 = 3*z. Suppose 3*f + 589 = z. Is f prime? True Let q(w) = 3*w - 2*w**2 - w**3 + 3*w**2 + 5 - 4*w + 15. Let n be q(0). Is (-30)/n*(850/(-6) - -1) composite? False Let f = 28 + -5. Let q = f - 20. Suppose 0 = -q*x - x + 436. Is x prime? True Suppose -3*h + 7 = 4*l, -1 + 7 = 2*h + 2*l. Let a(k) = -11*k + 25*k - 8 + 13*k. Is a(h) composite? False Let p be (-2 + 5)*6716/12. Suppose -3*o + p = 2*m, 2*m - 2*o - 1678 = -4*o. Is m a composite number? True Let h = -39 - -44. Suppose 2*i + 4232 = 4*c, -1126 = -h*c + i + 4164. Let z = c - 273. Is z composite? True Let d(a) = -2*a - 26 + 17 - 5*a + 23*a**2 + 0*a + 3*a. Let u(j) = -3*j - 2. Let v be u(-4). Is d(v) a composite number? False Let c(t) = 4*t**2 - 5*t - 14. Let n be 0 + -19 + 14 + -12. Let z(x) = -13*x**2 + 15*x + 41. Let j(y) = n*c(y) - 6*z(y). Is j(-5) a prime number? False Let d(w) = 3*w**3 - 16*w**2 + 67*w + 83. Let q be d(9). Suppose b + 2*t - 7 + 1 = 0, b = t. Is (q + b)*(-8 + 9) a composite number? False Is 2/10 + (
{ "pile_set_name": "DM Mathematics" }
6, 65098? 65100 What is next in 95, 332, 717, 1250? 1931 What is the next term in 1739, 1761, 1821, 1937, 2127? 2409 What is the next term in 1821, 6159, 13381, 23481, 36453, 52291? 70989 What is next in -45, -112, -283, -612, -1153, -1960, -3087, -4588? -6517 What comes next: -4618, -7978, -11364, -14788, -18262? -21798 What is the next term in 181512, 181514, 181516, 181518, 181520, 181522? 181524 What is next in 20017, 19460, 18917, 18394, 17897, 17432? 17005 What is next in -29590, -29622, -29682, -29776, -29910, -30090, -30322? -30612 What comes next: -31292, -62569, -93852, -125147, -156460? -187797 What is next in 2565901, 2565899, 2565897? 2565895 What comes next: -123, -573, -1801, -4197, -8151? -14053 What is the next term in 135906, 135904, 135900, 135894, 135886, 135876? 135864 What is the next term in -1385, -1415, -1489, -1607, -1769, -1975, -2225? -2519 What is next in -866, -698, -530, -362, -194, -26? 142 What is next in -65, -100, -193, -374, -673, -1120, -1745, -2578? -3649 What is the next term in 167066, 167068, 167070? 167072 What is the next term in 533, 1241, 2419, 4061, 6161, 8713? 11711 What is next in -36, -136, -302, -540, -856, -1256, -1746, -2332? -3020 What is next in -237419, -474868, -712319, -949772? -1187227 What is the next term in 7066, 7097, 7168, 7297, 7502? 7801 What is next in 313, 297, 273, 241, 201? 153 What is next in 688, 2406, 5150, 8920? 13716 What is next in 40180, 40196, 40238, 40318, 40448, 40640? 40906 What is next in 37, 152, 317, 508, 701? 872 What is the next term in 441, 488, 565, 672, 809, 976, 1173? 1400 What is the next term in -77, -353, -1063, -2423, -4649, -7957, -12563, -18683? -26533 What is the next term in 113, 487, 1127, 2033, 3205, 4643, 6347? 8317 What is the next term in 67, 183, 345, 547, 783, 1047, 1333, 1635? 1947 What is the next term in -22, -24, -16, 20, 102, 248? 476 What is the next term in 4506, 9091, 13676? 18261 What comes next: -21667, -21637, -21605, -21571, -21535, -21497? -21457 What is the next term in 2084155, 2084160, 2084167, 2084176, 2084187, 2084200, 2084215? 2084232 What is the next term in 304, 922, 1868, 3148, 4768, 6734? 9052 What is the next term in 19038, 19036, 19034, 19032, 19030, 19028? 19026 What is next in -929282, -929280, -929278, -929276? -929274 What is the next term in 1, 117, 403, 937, 1797, 3061? 4807 What comes next: -20, -154, -338, -542, -736, -890, -974, -958? -812 What comes next: 172, 736, 1796, 3454, 5812, 8972, 13036? 18106 What comes next: 37380, 74762, 112144, 149526, 186908, 224290? 261672 What is the next term in 72946, 145891, 218836, 291781, 364726? 437671 What is the next term in -518, -356, -86, 292, 778, 1372, 2074? 2884 What is the next term in 904080, 904085, 904102, 904137, 904196, 904285? 904410 What is next in -26, -200, -512, -962, -1550, -2276? -3140 What comes next: -249506, -499011, -748518, -998027? -1247538 What comes next: 665, 1660, 3295, 5552, 8413, 11860, 15875? 20440 What is the next term in -1269, -1028, -627, -66, 655, 1536, 2577? 3778 What is the next term in -28188, -28177, -28164, -28155, -28156, -28173, -28212? -28279 What is next in 230, 2703, 9412, 22475, 44010? 76135 What comes next: 206008, 206002, 205996? 205990 What is next in 74712, 74732, 74754, 74778, 74804, 74832, 74862? 74894 What comes next: 578, 621, 664, 707? 750 What is the next term in -3121, -3447, -3997, -4777, -5793? -7051 What is the next term in 86, 447, 1048, 1889, 2970? 4291 What is the next term in -1059, -2049, -3045, -4047, -5055? -6069 What is next in -144836, -289674, -434512? -579350 What is next in -51898, -103795, -155692, -207589, -259486? -311383 What is next in 1720, 3442, 5164, 6886? 8608 What is next in -159, 961, 2081, 3201, 4321? 5441 What is the next term in 1111, 1144, 1177, 1210, 1243, 1276? 1309 What is the next term in -618669, -618671, -618673, -618675, -618677? -618679 What is the next term in 3398, 3427, 3484, 3575, 3706, 3883? 4112 What comes next: -302, -603, -908, -1217, -1530, -1847, -2168? -2493 What is next in 6323, 25320, 56989, 101336, 158367, 228088, 310505? 405624 What is the next term in -56, -149, -302, -515, -788, -1121? -1514 What comes next: 332, 228, -46, -574, -1440, -2728, -4522? -6906 What is the next term in 945, 969, 993, 1017? 1041 What comes next: -319, -542, -767, -994, -1223? -1454 What is next in -12294, -24583, -36870, -49155, -61438, -73719, -85998? -98275 What comes next: 1954348, 1954347, 1954346, 1954345, 1954344, 1954343? 1954342 What is the next term in 304, 604, 900, 1192, 1480, 1764? 2044 What is next in 45, 480, 1679, 4026, 7905, 13700? 21795 What is the next term in -188, 2, 254, 598, 1064? 1682 What comes next: -6381, -12940, -19501, -26064, -32629? -39196 What comes next: 1795, 3490, 5101, 6628, 8071? 9430 What is the next term in 8, 68, 220, 506, 968? 1648 What is next in -633, -3243, -7599, -13707, -21573, -31203, -42603, -55779? -70737 What is next in -13023, -13045, -13081, -13131, -13195? -13273 What is next in -553, -539, -511, -469? -413 What comes next: 2746, 2719, 2692, 2665? 2638 What is the next term in -51, -135, -275, -501, -843? -1331 What comes next: 288, 252, 204, 138, 48, -72, -228? -426 What is the next term in 18, 121, 436, 1071, 2134, 3733, 5976? 8971 What is the next term in -163193, -163204, -163217, -163232, -163249? -163268 What is next in 470, 945, 1420, 1895? 2370 What is the next term in -1229, -2539, -3849? -5159 What comes next: 2467, 4979, 7489, 9997? 12503 What is next in -2210, -2681, -3152, -3623, -4094? -4565 What is next in 510, 1055, 1600? 2145 What is the next term in 385784, 385792, 385804, 385820, 385840, 385864? 385892 What is next in 9756, 9665, 9574, 9483? 9392 What comes next: -322343, -322344, -322345, -322346? -322347 What comes next: 3960, 7933, 11906? 15879 What is the next term in 756082, 756083, 756084? 756085 What is next in -72722, -145442, -218162, -290882? -363602 What comes next: 43045, 43059, 43083, 43117, 43161, 43215, 43279? 43353 What is next in -1794, -12517, -41622, -98301, -191746, -331149, -525702, -784597? -1117026 What is next in 2307, 4551, 6743, 8889, 10995, 13067, 15111, 17133? 19139 What is next in -1113, -1174, -1321, -1596, -2041, -2698, -3609, -4816? -6361 What is the next term in -46842, -46844, -46846, -46848, -46850, -46852? -46854 What is the next term in 137436, 274859, 412284, 549711, 687140? 824571 What comes next: -8287, -8246, -8175, -8074? -7943 What is the next term in 751, 1472, 2141, 2734, 3227, 3596? 3817 What is the next term in -1037, -1115, -1327, -1739, -2417, -3427, -4835, -6707? -9109 What comes next: 607, 2796, 6445, 11554? 18123 What is next in 6845, 6678, 6511, 6344? 6177 What is next in -18777, -18775, -18773? -18771 What comes next: 72665, 72674, 72689, 72710, 72737? 72770 What is next in 59, 27, -121, -445, -1005, -1861? -3073 What is the next term in 4989, 5010, 5069, 5184, 5373, 5654, 6045? 6564 What is the next term in 291303, 582620, 873947, 1165290, 1456655? 1748048 What is next in -1946, -1902, -1814, -1670, -1458? -1166 What is the next term in 2453, 4909, 7379, 9869, 12385, 14933, 17519? 20149 What is the next term in -3188, -6451, -9714, -12977? -16240 What is the next term in -506, -431, -294, -65, 286? 789 What is next in 28903, 57806, 86709, 115612, 144515? 173418 What comes next: 285812, 285811, 285810, 285809, 285808, 285807? 285806 What is the next term in -1796, -1814, -1848, -1904, -1988, -2106, -2264? -2468 What comes next: -133, -486, -1073, -1894? -2949 What is next in -14, 189, 610, 1243, 2082, 3121, 4354? 5775 What comes next: 724, 758, 800, 850, 908, 974, 1048? 1130 What comes next: -498, -991, -1484, -1977, -2470, -2963? -3456 What is the next term in -1080136, -1080122, -1080094, -1080046, -1079972? -1079866 What is next in -747, -801, -817, -777, -663, -457, -141, 303? 893 What is next in 20871, 41748, 62631, 83520? 104415 What is next in -8, 49, 156, 307, 496? 717 What is next in 2441, 2431, 2415, 2393, 2365? 2331 What is next in -22999175, -22999179, -22999185, -22999193, -22999203, -22999215? -22999229 What comes next: -18, -416, -1068, -1974? -3134 What is next in -1021, -4030, -9033, -16030, -25021, -36006, -48985? -63958 What is next
{ "pile_set_name": "DM Mathematics" }
2*(4*s + 1)**3/5 Find b, given that 102 + 4*b**2 - 3*b**4 - 2*b**5 - 102 - b**4 + 0*b**4 + 2*b**3 = 0. -2, -1, 0, 1 Let o = -18246 - -18246. Factor 3/5*t**3 + 0*t + o - 3/5*t**5 + 0*t**4 + 0*t**2. -3*t**3*(t - 1)*(t + 1)/5 Let -2/13*t**3 - 16/13*t**2 + 0*t + 0 = 0. What is t? -8, 0 Let n(i) be the second derivative of -i**6/540 - i**5/90 + 5*i**3/6 + 4*i. Let o(f) be the second derivative of n(f). Factor o(z). -2*z*(z + 2)/3 Let 0*m**3 + m**2 + 4*m**3 - 16*m + 64 - 29*m**2 - 24*m = 0. Calculate m. -2, 1, 8 Let p be 4 + (2/(-5))/(26/130). Let j(h) be the second derivative of -h**3 + 6*h**p + 1/16*h**4 - 8*h + 0. Find q such that j(q) = 0. 4 Suppose -5*g + 15 = 2*x - 5*x, -3*g = 2*x - 9. Factor 15*h**2 + 9*h + g*h**2 - 3*h**2 + h. 5*h*(3*h + 2) Let h = -18/59 - -928/2655. Let m(u) be the first derivative of -h*u**3 + 2/3*u + 12 + 4/15*u**2. Solve m(s) = 0. -1, 5 Let q(d) = 8*d + 54. Let o be q(0). Suppose -58*t + 8 = -o*t. Find r such that -2/3*r**3 + 0*r**t + 0 + 2/3*r**4 + 0*r = 0. 0, 1 Let i = 19757 - 19757. Factor 2/3*j**2 + 0*j - 4/9*j**3 + i - 2/9*j**4. -2*j**2*(j - 1)*(j + 3)/9 Let j(y) be the first derivative of -1/36*y**4 + 0*y - 3 - 3/2*y**2 + 1/360*y**5 + 1/12*y**3. Let b(f) be the second derivative of j(f). Factor b(w). (w - 3)*(w - 1)/6 Let o(a) = 3*a + 30. Let u be o(-12). Let p be 4 - (-1 + 9) - u. Determine c, given that -2/15*c + 0 + 2/15*c**3 + 0*c**p = 0. -1, 0, 1 Let s = 32 + -32. Let v(m) = m**3 + 3*m**2 - 7*m + 15. Let h be v(-5). Factor 2/5*i**2 + h + s*i + 2/5*i**3. 2*i**2*(i + 1)/5 Factor 9/2 + 1/4*x**3 - 2*x**2 - 11/4*x. (x - 9)*(x - 1)*(x + 2)/4 Suppose 0 = 14*z - 11*z - 15. Factor -25*b**5 + 1 - 2*b**3 - 31*b**z - 2*b**2 + b**4 + 57*b**5 + b. (b - 1)**2*(b + 1)**3 Let p(h) be the second derivative of -27*h**5/20 - 109*h**4/2 - 672*h**3 - 432*h**2 - h + 84. Find i such that p(i) = 0. -12, -2/9 Let d(h) be the second derivative of -3*h**5/20 - h**4 + 7*h**3/2 + 15*h**2 + 10*h - 15. Factor d(z). -3*(z - 2)*(z + 1)*(z + 5) Let s = -331 - -337. Let f(t) be the second derivative of 0 + 1/120*t**s + 0*t**3 + 0*t**5 + 1/8*t**2 - 1/24*t**4 + 4*t. Determine w, given that f(w) = 0. -1, 1 Suppose -24 = -47*o + 11*o + 48. Let -2/3*u**o + 2/3*u + 2/3*u**4 - 2/3*u**3 + 0 = 0. Calculate u. -1, 0, 1 Let p(z) = z - 12. Let x be p(16). Solve 4*a**x - 999*a + 999*a = 0 for a. 0 Let z(u) be the first derivative of -u**6/6 + 3*u**4/4 - 2*u**3/3 - 47. Determine l, given that z(l) = 0. -2, 0, 1 Factor -3*d**3 - 118 + 105*d + 12*d**2 - 187 - 145. -3*(d - 5)**2*(d + 6) Let f(c) be the third derivative of c**7/490 - 3*c**6/14 + 45*c**5/7 - 3*c**2. Factor f(r). 3*r**2*(r - 30)**2/7 Let y(k) be the first derivative of k**2 - 2/3*k**3 + 3 - 6*k - 5/24*k**4. Let q(s) be the first derivative of y(s). Solve q(w) = 0. -2, 2/5 Let q be 3 - (-5 + (-12)/(-3)). Suppose 3/4*w**2 + 1/2*w + 0*w**3 - 1/4*w**q + 0 = 0. Calculate w. -1, 0, 2 Let u(j) be the first derivative of j**4 - 5/3*j**3 - 12 - j - 2*j**2. Let c(d) = -3*d**3 + 4*d**2 + 3*d. Let o(i) = -3*c(i) - 2*u(i). Solve o(s) = 0 for s. -1, 1, 2 Let u(g) be the second derivative of 5*g**7/7 + 11*g**6/6 - 39*g**5/2 + 35*g**4 - 20*g**3/3 - 75*g**2/2 - 264*g. Solve u(a) = 0. -5, -1/3, 1, 3/2 Let p be (-2)/(-7) + 24170/(-70). Let l = p + 3113/9. Factor -l + 2/9*t**2 + 0*t. 2*(t - 2)*(t + 2)/9 Let o(q) = -10*q**2 + 211*q - 702. Let b(c) = 5*c**2 - 106*c + 352. Let w(v) = -9*b(v) - 4*o(v). What is j in w(j) = 0? 4, 18 Let b = -7 - -25. Let i = b - 16. Determine j, given that -3*j**2 + j**2 - j**i - 48 + 0*j**2 + 24*j = 0. 4 Suppose -36*b**4 + 49*b**3 + 19*b**3 + 4*b**5 + 28*b**3 + 74*b**2 - 138*b**2 = 0. Calculate b. 0, 1, 4 Let i(t) be the first derivative of 13*t**4 - 8*t**3/3 - 104*t**2 + 32*t + 85. Find j such that i(j) = 0. -2, 2/13, 2 Let g be -3 + 1 + -2 + 1. Let r be (8/g)/(8/(-12)). Suppose -3*s**2 - 2*s**5 + 15*s**4 - 3*s**2 - 14*s**3 - 25*s**r + 0*s**2 = 0. What is s? -3, -1, 0 Let a be 7/(21/2)*(2 + 4). Let m(k) be the third derivative of 0*k**a - 1/70*k**7 + 3*k**2 + 1/20*k**6 + 0 + 0*k**3 + 0*k - 1/20*k**5. Solve m(h) = 0 for h. 0, 1 Let s = -2481 - -2484. Let -4/7*l**2 - 4/7*l**4 + 1/7*l**5 + 6/7*l**s + 0 + 1/7*l = 0. Calculate l. 0, 1 Let x(j) be the first derivative of 2*j**3/5 + 57*j**2/5 + 72*j + 293. Let x(f) = 0. What is f? -15, -4 Let b(u) be the third derivative of -23*u**6/60 - 5*u**5/6 - u**4/6 + 103*u**2 - 2*u. Factor b(j). -2*j*(j + 1)*(23*j + 2) Let f(q) be the first derivative of -q**5/35 + q**4/28 + 2*q**3/21 + 506. Factor f(y). -y**2*(y - 2)*(y + 1)/7 Let h(p) = -p**3 + p**2 + p. Let x(c) = c**2 + c. Let t(m) = 5*h(m) - 5*x(m). Factor t(z). -5*z**3 Let s(f) be the first derivative of -8*f**5/15 + 31*f**4/6 - 152*f**3/9 + 17*f**2 + 12*f - 44. Find r, given that s(r) = 0. -1/4, 2, 3 Let -24/5*v + 0 - 56/5*v**2 + 98/5*v**3 - 14/5*v**5 - 4/5*v**4 = 0. Calculate v. -3, -2/7, 0, 1, 2 Let n be 1/(-5) - 7107/(-1035). Suppose 2*p + 0*p - 4 = y, 5*y - 4 = 2*p. Factor -8/3*v + 0 + n*v**y + 28/3*v**3. 4*v*(v + 1)*(7*v - 2)/3 Let v(q) = -q**3 - q**2 + q - 1. Suppose -5 = -d - 25. Let c(j) = -5*j**5 + 10*j**4 - 20*j**3 - 30*j**2 + 25*j - 20. Let w(y) = d*v(y) + c(y). Factor w(b). -5*b*(b - 1)**3*(b + 1) Let u(o) be the first derivative of 0*o + 29 - 25/4*o**4 + 45/2*o**2 + 5*o**3 + o**5. Factor u(p). 5*p*(p - 3)**2*(p + 1) Let q = 548/7 + -1630/21. Determine x, given that -4/3*x + q*x**2 + 0 = 0. 0, 2 Suppose 5*v - 160*v**2 - 907 + 1280*v**3 + 907 = 0. Calculate v. 0, 1/16 Let a = 117 - 114. Suppose -10*r + 13*r = a*n - 3, 2*r + 2 = -3*n. Find j, given that 1/3*j**5 - 1/3*j**4 + 1/3*j**2 + n - 1/3*j**3 + 0*j = 0. -1, 0, 1 Let c be 1/1*(2 + 1). Let j = 7 - c. Factor -u**4 + 4*u**4 - 4*u**3 - 5*u**j - 2*u**2. -2*u**2*(u + 1)**2 Suppose c - 57 = -55. Factor 12*j + 0 - c + 4 - 4*j**2 - 10. -4*(j - 2)*(j - 1) Factor -279*b**2 - 42 - 2338*b - 27*b**3 - 66 + 2002*b. -3*(b + 9)*(3*b + 2)**2 Suppose 24 = -11*b + 79. Suppose -10 = -b*j + 5. Factor -3/7*y**j + 3/7*y + 3/7 - 3/7*y**2. -3*(y - 1)*(y + 1)**2/7 Suppose 7*i = -582 - 482. Let z be (i/(-665))/(1 + (-8)/10). Factor 12/7*u**2 + z*u + 2/7 + 2/7*u**4 + 8/7*u**3. 2*(u + 1)**4/7 Factor 15/4*k**2 - 10 + 5/4*k**3 - 15/2*k. 5*(k - 2)*(k + 1)*(k + 4)/4 Let -4*v**5 + 25672*v**3 + 20*v**2 + 12*v - 52*v**2 - 25648*v**3 = 0. Calculate v. -3, 0, 1 Let i(x) be the second derivative of -x**6/6 - 5*x**5/4 - 5*x**4/4 + 15*x**3/2 - 4*x + 147. Factor i(z). -5*z*(z - 1)*(z + 3)**2 Factor 9/2*m**2 + 0 + 3/2*m**3 + 3*m. 3*m*(m + 1)*(m + 2)/2 Let j(p) be the second derivative of -p**4/15 + p**3/3 + 3*p**2/5 - 431*p. Factor j(d). -2*(d - 3)*(2*d + 1)/5 Let w(z) be the first derivative of -z**7/1400 + z**6/300 - 4*z**3 - 11. Let b(f) be the third derivative of w(f). Suppose b(t) = 0. What is t? 0, 2 Let a(c) = c**2 + 5*c + 8. Let k be a(-2). Let o = k + -2. Factor 4/9*z - 2/9*z**4 + 2/9*z**2 + o - 4/9*z**3. -2*z*(z - 1)*(z + 1)*(z + 2)/9 Let s(j) = j + 11. Let x be s(-3). Let m = x + -6. Factor 0*t**4 + 14*t**5 + m*t**4 - 15*t**5 - t**3. -t**3*(t - 1)**2 Let w(l) be the third derivative of -5/336*l**8 + 32*l**2 + 0*l**6 + 0*l + 0 + 0*l**3 - 1/21*l**7 + 1/6*l**5 + 5/24*l**4. Find z, given that w(z) = 0. -1, 0, 1 Let o = -1306 - -1310. Suppose 4*q**2 + 20/7*q**o + 36/7*q**3 + 0 + 8/7*q + 4/7*q**5 = 0. What is q? -2, -1, 0 Let l(f) be the second derivative of -11/4*f**4 + 5/2*f**6 + 6*f**2 + 6*f**3 + 0 - 5*f - 9/2*f**5. Determine a so that l(a) = 0. -2/5, 1 Let a(w) = 5*w**3 - 31*w**2 + 48*w + 988. Let j(l) = -14*l**3 + 91*l**2 - 146*l - 2962. Let i(q) = -11*a(q) - 4*j(q). Find x such that i(x) = 0. -5, 14 Let q(m) be the third derivative of m**6/150 - 4*m**5/15 + 25*m**4/6 - 100*m**3/3 - 294*m**2. Factor q(c). 4*(c - 10)*(c - 5)**2/5 Let k(x) be the third derivative of 5*x**8/112 + 18*x**7/35 + 41*x**6/20 + 3*x**5 + 9*x**4/8 - 178*x**2. Suppose k(c) = 0. Calculate c. -3, -1, -1/5, 0 Let t(n) = 4*n**3 - n**2. Suppose x = -3*x - 12, b + 3*x + 12 = 0. Let y(r) = -r**3 + r**2. Let d(u) = b*y(u) - t(u). Determine f, given that d(f) = 0. -2, 0 Let g(h) be the first derivative of -h**3/6 + 3*h**2/4 - h - 103. Factor g(f). -(f - 2)*(f - 1)/2 Let z(a) = a**3 - 10*a**2 - 12*a + 13. Let j be z(11). Let h = -1202/7 + 172. What is w in 0 + h*w - 2/7*w**j = 0? 0, 1 Let y(r) be th
{ "pile_set_name": "DM Mathematics" }
of s? True Is 8 a factor of (8/(-18))/((-18)/(-1809))*(-30 + 18)? True Let d be (8/20 + 64/(-10))*-79. Suppose 0 = -6*l + 786 + d. Does 15 divide l? True Let k(a) = -a**3 - 43*a**2 + 55*a - 145. Is 37 a factor of k(-48)? False Suppose -3*c - 11*k = -8*k - 2460, -2*k = -2*c + 1648. Let i = c - 662. Does 51 divide i? False Let j = 172 - 57. Let w = j - 105. Does 10 divide w? True Let i = -3156 - -5640. Is i a multiple of 18? True Is -4 - (27268/(-3) - (-116)/(-174)) a multiple of 33? False Let b(w) = -3*w - 21. Let y be b(-6). Let v be 0/(12/((-9)/y)). Suppose v*r - 116 = -2*r. Is r a multiple of 29? True Suppose 0 = -11*v - 5222 + 116740. Does 2 divide ((-4)/(-1))/(296/v)? False Let d(o) = -5649*o**2 + 96*o + 96. Let f(y) = -353*y**2 + 6*y + 6. Let h(g) = 2*d(g) - 33*f(g). Does 9 divide h(-1)? True Suppose 571 = 15*i - 479. Suppose -a - a - p = 17, -3*a + p - 13 = 0. Let y = a + i. Is 32 a factor of y? True Suppose -9*j + 5*j = 5*g + 546, 3*g - 6 = 0. Let i = j + 461. Does 10 divide i? False Let h(s) = s**3 + 72*s**2 + 11*s - 272. Is 25 a factor of h(-58)? False Let p(v) = -v**2 - 15*v - 8. Let z = 17 - 3. Suppose 23*a - 21*a = -z. Does 6 divide p(a)? True Let h(f) = -f**3 + 36*f**2 - f + 48. Let s be h(36). Is 37 a factor of (9/(-12))/(s/(-3552))? True Let x(h) = -86*h + 63. Let w be x(11). Let o = -498 - w. Is o a multiple of 77? True Let v = -23115 + 24980. Is 8 a factor of v? False Suppose -20*u + 15600 = -10*u. Suppose -2*c - 904 = -2*l + 124, 3*l - u = -3*c. Is 36 a factor of l? False Suppose 14*m - 92 + 8 = 0. Is 12 a factor of (6*m/48)/((-1)/(-224))? True Let m = 19971 + 6070. Is m a multiple of 91? False Let c(r) = r**3 + 3*r**2 - 2*r - 8. Let u(b) = 5*b + 28. Let p be u(-5). Is 20 a factor of c(p)? True Is -4835*(-5 + -3 + 5) a multiple of 148? False Let m be ((-962)/6)/((-9)/27). Let o be 3 - 0 - (4 + m). Let n = o - -686. Is 12 a factor of n? True Let u(a) = 2*a**2 - 2*a - 6. Let y be (-1 + 2)*(-5)/(-1). Suppose -y - 3 = -2*l. Is u(l) a multiple of 9? True Suppose d = -2*g - 3*d + 24, 4*g + 5*d - 33 = 0. Suppose -2*x + 0*x - 2*o = 0, g = -x - 2*o. Is 6 a factor of (-23)/(-3) + x/6? False Suppose -11*y + 6*y = 3*t - 1846, -5*t + y = -3114. Let m = -557 + t. Does 28 divide m? False Let t(k) = -7*k + 65. Let w(o) = 14*o - 131. Let f(l) = 10*t(l) + 4*w(l). Is f(-18) a multiple of 54? True Suppose 0 = 13*h - 23 - 224. Suppose -h*r + 1387 + 1102 = 0. Does 6 divide r? False Let b = -291 - -80. Let i = b + 344. Is i a multiple of 7? True Let w(x) = -x**3 - 9*x**2 - 272*x - 4315. Does 39 divide w(-19)? False Let x(j) = j**3 + 3*j**2 - 3*j - 4. Suppose -19 = 6*a - 7. Let p be x(a). Suppose -3*d + 78 = -p. Is 14 a factor of d? True Let r(s) = 312*s - 4109. Does 8 divide r(27)? False Suppose 4*l + 1720 = 4*b - 47940, 3*b - 37250 = 4*l. Is b a multiple of 34? True Suppose -17132 = -3*j + 7*x - 9*x, 0 = -3*j + x + 17147. Is j a multiple of 21? False Let j(m) = 12*m**2 - 271*m + 15. Is j(34) a multiple of 83? False Let r = 570 - 731. Let h = r + 169. Does 4 divide h? True Is (-748)/(-1683) + (-88570)/(-18) a multiple of 19? True Suppose -4*q = 3*r - 4733, -5*q - 432*r + 430*r = -5925. Is 194 a factor of q? False Suppose 0 = -b + 2 + 6. Let g be b*(-4 - -1)*(7 - 0). Is (7*1)/((-6)/(g/2)) a multiple of 7? True Let g = 147 + -147. Is g - (-1734)/(7 - 1) a multiple of 17? True Let l(w) = -w**3 - 2*w**2 + 13*w + 18. Let f be l(-4). Does 14 divide (-1*f*102)/(8/12)? False Suppose -145*m - 300 = -140*m. Let q = m - -89. Does 17 divide 5/(0 - -1) + q? True Let t = -13 - -24. Suppose -t*h = -16 - 6. Suppose -z + 162 = 2*y, h*y - 648 = -6*z + 2*z. Is 27 a factor of z? True Let y(c) = 2*c**2 + 16*c + 16. Let d be y(-7). Suppose -347 = -o - 3*i, -i = -d*o - 4*i + 691. Is 45 a factor of o? False Let l = 93 - 0. Suppose 4*w + 333 = l. Does 25 divide w/(-9)*675/36? True Let i(c) = -c**2 + 14*c + 35. Suppose 112 = 9*m - 2*m. Let z be i(m). Suppose -307 = -5*n + 2*a, -z*a + 83 = n + 2*a. Does 14 divide n? False Let w be 2 + (-5)/(10/32) + 2. Let u(h) be the third derivative of -h**4/24 - h**3/3 + 3*h**2. Is u(w) a multiple of 5? True Let v(t) = t**2 - t - 2. Let z(w) = -w**2 + 6*w + 15. Let l be z(8). Let m be v(l). Suppose -5*x + 5 = 0, -q + 2*x + 82 = -m*x. Is 12 a factor of q? True Let h be (-1603)/(-147)*183 + 8/(-14). Suppose h + 12173 = 28*x. Is 17 a factor of x? False Suppose 50 = 2*p - 4*f - 100, 4*p - 312 = 2*f. Suppose 0 = -2*z - k - 113 + 118, -3*k = 3. Let b = p - z. Does 19 divide b? True Let p = -200 - -84. Let y = p - -118. Suppose -5*t + 600 = -2*o, -t - 5*o + 122 - y = 0. Is t a multiple of 16? False Let l(y) = -9*y**3 - y**2 + 4*y + 3. Let x be l(-2). Suppose 2*j = 2*d - 108, 13*d - 11*d + 240 = -4*j. Let i = x + j. Is i even? False Suppose 0 = -5*b + 5*h + 4708 - 343, -4*h = 0. Let i = -560 + b. Is i a multiple of 27? False Let d be 41/((-3)/(-5) + 4/(-15)). Suppose -4*r - 39 + 39 = 0. Suppose r*b + b = d. Does 11 divide b? False Let c = -4210 - -850. Let u = c - -4990. Is 18 a factor of u? False Let i(f) = -5*f**3 + 3*f**2 - 5*f + 18. Let l be i(-7). Is 24 a factor of l/10 - (-7)/14? True Let b be (-6)/(-16) + 1537/424. Let x be (-86)/(-7) + 6/(-21). Is (-30)/b*(-32)/x a multiple of 17? False Suppose 91*q - 238871 = 191104. Does 46 divide q? False Let f(x) = 10*x + 9. Let z(t) = -t**2 + 19*t + 18. Let j(a) = 5*f(a) - 3*z(a). Let o(b) = -b**3 - 48*b**2 + 92*b - 393. Let h be o(-50). Is 10 a factor of j(h)? False Is 68 a factor of (2 - 9)/(-70) - -83639*(-8)/(-80)? True Let s = 13688 + -4756. Does 28 divide s? True Let i(s) = 97*s**2 - 41*s + 784. Does 17 divide i(8)? True Suppose -2*h - 1 = -7. Suppose -5*r + 2505 = -u, -5*r = -6*r - h*u + 485. Is 10 a factor of r? True Let g(k) = -1630*k - 1740. Does 50 divide g(-13)? True Suppose -v = 3*d - 16, -34*d = -37*d - 2*v + 20. Suppose 2*q = -0*f - 2*f + 624, 2*q = -d*f + 632. Is q a multiple of 22? True Suppose 47 + 365 = g + 3*i, -i + 4 = 0. Is g a multiple of 20? True Let l(w) = 4*w**3 - 10*w**2 + 15*w - 45. Let r be l(6). Suppose r - 64 = -5*b. Let y = b - -131. Is 2 a factor of y? True Suppose 0 = -5*k - 6*l + 87889, 139*k - 137*k = 4*l + 35130. Is 134 a factor of k? False Does 3 divide (-19 - (-8 - -6))/(7/(-350))? False Suppose 0 = -185*d - 189*d + 6957522. Is d a multiple of 159? True Let n = 366 + -430. Let t = 364 + n. Is 4 a factor of t? True Suppose -4*g - 752 = -4*l, 4*g - 8*g = 4*l - 768. Let p = l - 1. Does 7 divide p? True Suppose 5*t - 85 = -5. Let c(l) = -14*l**2 - t*l - 9 + 8*l**2 + 5*l**2. Is c(-10) a multiple of 11? False Let f = 39710 + -32213. Is f a multiple of 2? False Let w(u) = 89*u**3 + 3*u**2 - 3*u - 21. Let s be w(-3). Does 23 divide (6 - 4)/(-2 - s/1191)? False Let m(h) = -488*h - 183. Is 25 a factor of m(-16)? True Suppose 20*z - 2425 - 755 = 0. Suppose 2*l - 5*g + 212 = 0, 2*l = 7*l - 3*g + 492. Let c = l + z. Does 8 divide c? False Suppose -2*d = -3*o + 98 - 96, 5*o = 10. Suppose 0 = 3*g + 2 - 8. Suppose -20 = -d*r + 2*c, -4*c - 22 = -g*r - 0*c. Is 6 a factor of r? False Let p(t) = 41*t + 51. Let r be p(10). Let n = -333 + r. Is 11 a factor of n? False Let c(b) = -17*b**3 + 18*b**2 + 130*b - 15. Is 13 a factor of c(-8)? True Suppose 4*j - 494 = 5*k, -j + 384 = 2*j + 3*k. Let o = j - -251. Does 23 divide o? False Let d = -879 - -1241. Let r = -114 + d. Is r a multiple of 11? False Let k be (42/(-4))/(93/(-124)). Suppose k*s - 10570 = -0*s. Is s a multiple of 42? False Let u(d) = 940*d - 2932. Is 28 a factor of u(8)? False Let s be ((-8)/10)/(16/4280). Let o = s - -637. Suppose -5*u = -4*q - o, -3*u - 2*u = -5*q - 420. Does 35 divide u? False Suppose -356*i + 926961 = -1147807. Is i a multiple of 14? False Let l(a) = -348*a - 455. Does 32 divide l(-6)? False Let h(p) = -173*p**3 + 55*p**2 + 166*p - 13. Does 95 divide h(-3)? True Suppose 387*u - 42*u - 1655771 - 61639 = 0. Is 32 a factor of u? False Let i = 165 + -58. Suppose 768 = i*n - 101*n. Is 11 a factor of n? False Suppose 19*b - 20*b = 2*g - 2073, -3107 = -3*g + b. Is 37 a factor of g? True Suppose 42 = 7*g - 42. Suppose 20*s + g = 23*s. Let d(z) = 2*z + 9. Is d(s) a multiple of 8? False Suppose 0*f - 2*f = 3*w - 11, -3*w = -9. Let j(g) = 124*g**3 + g**2 + 2*g - 2. Does 11 divide j(f)? False Suppose -3*i + 48
{ "pile_set_name": "DM Mathematics" }
e first derivative of -2*g**6/5 - 9*g**2/2 - 10*g - 10. Let k(c) be the first derivative of m(c). What is the derivative of k(z) wrt z? -48*z**3 What is the first derivative of 4 - 2 - 36*k - 10*k - 7 wrt k? -46 Let a = -16 + 21. Suppose 21 = h - 5*z, -3*h = a*z - 0 - 3. Find the third derivative of w**5 - 5*w**6 - h*w**2 - w**5 - w**6 wrt w. -720*w**3 Let b be 50/16 + 1/(-8). What is the third derivative of 16*g**5 - 11*g**5 - b*g**5 - g**2 - g**2 wrt g? 120*g**2 Let b(z) be the third derivative of -2/3*z**3 + 13*z**2 + 3/8*z**4 + 0 + 0*z. Find the first derivative of b(k) wrt k. 9 Suppose -9*k = 7 - 7. Let w(t) be the second derivative of 11/2*t**2 + 3/10*t**5 + 0 + k*t**4 + 11*t + 0*t**3. Find the first derivative of w(b) wrt b. 18*b**2 Let l(g) = 2*g**6 + g**5 - g**2 - g - 1. Let w(i) = -361*i**6 - i**5 - 173*i**2 - i + 1. Let n(d) = l(d) + w(d). What is the third derivative of n(s) wrt s? -43080*s**3 Suppose -14*x = -11*x + 18. Let f = x - -9. Find the second derivative of -72*g + 4*g**f + 2*g**2 - 2*g**2 + 63*g wrt g. 24*g Let y(n) be the third derivative of -37*n**7/105 + 9*n**5/5 + 114*n**2. Find the third derivative of y(s) wrt s. -1776*s Let i = 27 - 21. Suppose 0*q + 48 = i*q. What is the second derivative of -t - q*t**4 + 2*t + 0*t**4 - 8*t wrt t? -96*t**2 Let p be (-34)/(-10) + 45/75. What is the third derivative of 4*k**5 - 9*k**2 + 0*k**5 - 17*k**4 + 17*k**p wrt k? 240*k**2 What is the derivative of 9*d**4 - 647*d**2 + 1296*d**2 - 2*d - 649*d**2 - 227 wrt d? 36*d**3 - 2 Let a be (-4)/18*-3*45/60. Let h(z) be the second derivative of -4*z + 0 + 1/12*z**4 - a*z**2 + 0*z**3. Find the first derivative of h(y) wrt y. 2*y Let f(d) = -108*d**3 + 21*d**2 + 7*d - 11. Let l(u) = -5*u**3 + 2*u**2 + u - 1. Let j(n) = -2*f(n) + 22*l(n). What is the third derivative of j(x) wrt x? 636 Let w be ((-42)/30)/((-2)/70). What is the third derivative of 10*g**2 + w*g**4 - 97*g**4 + 57*g**4 wrt g? 216*g What is the second derivative of -552*c**3 + 1143*c**3 - 3*c - 562*c**3 + 5 + 4*c**2 wrt c? 174*c + 8 Let c(v) be the third derivative of -31/210*v**7 + 7/8*v**4 + 0*v**3 + 0*v + 0*v**6 + 0*v**5 + 0 + 12*v**2. Find the second derivative of c(j) wrt j. -372*j**2 Find the second derivative of -400*v - 3*v**5 - 171*v + 103*v**4 + 188*v - 36*v**4 wrt v. -60*v**3 + 804*v**2 What is the derivative of -733*q**2 + 238 + 369*q**2 + 374*q**2 - 7*q**3 + 0*q**3 wrt q? -21*q**2 + 20*q Let n(h) be the first derivative of 0*h + 0*h**3 + 46 - 37/2*h**2 - h**5 - 2*h**4. What is the second derivative of n(j) wrt j? -60*j**2 - 48*j Let r(g) = 6*g**3 + 9*g**2 + 5*g + 213. Let f(u) = u**3 + u**2 + u + 3. Let p(k) = 5*f(k) - r(k). What is the derivative of p(b) wrt b? -3*b**2 - 8*b Suppose -f + c = -3*c + 8, 11 = 3*f - 5*c. Let w be 9/(-6)*f/(-9). Find the second derivative of -44*a**2 + 44*a**w - 5*a + 4*a**5 wrt a. 80*a**3 Let n = 60 + -55. Find the second derivative of 10*p**5 - 13*p - 26*p**n + 8*p**5 + 17*p**5 wrt p. 180*p**3 Let n(y) be the second derivative of -y**6/15 - 87*y**5/10 - y**3/3 - 131*y**2/2 - 516*y. What is the second derivative of n(f) wrt f? -24*f**2 - 1044*f Let m(l) be the second derivative of -l**6/90 + l**5/12 - l**4/4 + 13*l. Let q(v) be the third derivative of m(v). Differentiate q(w) wrt w. -8 Suppose -5*k - 5*g = -75, -k + 3*g - 5*g = -20. What is the third derivative of 6*j**2 + 15*j**2 + 8*j**3 - 2*j**3 - k*j**2 wrt j? 36 Let g(a) be the first derivative of -a**4/2 - 85*a**3/3 + 63*a**2 - 380. Find the second derivative of g(t) wrt t. -12*t - 170 Let c(z) be the second derivative of -z**7/840 + 23*z**4/24 - z**3/2 - z. Let i(v) be the second derivative of c(v). Differentiate i(j) with respect to j. -3*j**2 Let n(c) be the second derivative of c**6/30 + 5*c**4/12 + c**3/6 - 37*c + 1. Find the third derivative of n(d) wrt d. 24*d Let v(j) = j - 23. Let d(n) = 2*n - 23. Let f(m) = m**3 - 7*m**2 - 8*m - 3. Let w be f(8). Let u(s) = w*v(s) + 2*d(s). What is the derivative of u(g) wrt g? 1 Let h(l) be the second derivative of -97*l**4/12 - 86*l**2 + 3*l + 8. What is the derivative of h(q) wrt q? -194*q Let m(v) = -v**2 + v + 1. Let a(w) = 13*w**3 - 5*w**2 + 10*w + 5. Let k(q) = 3*a(q) - 15*m(q). Find the second derivative of k(j) wrt j. 234*j Let d(r) = 2*r**2 + 8*r - 11. Let c be d(-7). What is the derivative of 364 - c*p**3 + 8*p**3 - 331 wrt p? -69*p**2 Let s be (-158)/8 + 2/(-8). Let t = -10 - s. What is the second derivative of 18*u - 5*u - 7*u**5 - t*u wrt u? -140*u**3 Let f(s) be the first derivative of 63*s**4/4 - 49*s - 141. Find the first derivative of f(c) wrt c. 189*c**2 Suppose k - 852 = -5*s + s, 16 = 4*s. Differentiate -33*z**3 + k + 2*z**2 - 2*z**2 - 828 wrt z. -99*z**2 Let w(v) be the second derivative of 0*v**3 + 1/2*v**5 + 0*v**2 + 0 - v - 5/12*v**4. What is the third derivative of w(j) wrt j? 60 Let j(c) be the first derivative of 10 + 0*c + 0*c**2 - 8/3*c**3 + 0*c**5 - 1/7*c**7 + 0*c**4 + 0*c**6. What is the third derivative of j(u) wrt u? -120*u**3 Let p(u) be the third derivative of -1/30*u**5 + 0 + 0*u**6 - 48*u**2 + 8*u**3 + 0*u + 1/210*u**7 + 0*u**4. Differentiate p(w) wrt w. 4*w**3 - 4*w Let j be (-2)/(-6) + 8/12. Let c be (0 + -1 + j)/2. Find the third derivative of c*i**4 + 0*i**2 + 5*i**4 + i**4 - 10*i**2 wrt i. 144*i Let l(x) be the third derivative of -19*x**4 + 37*x**3/2 + 3*x**2 - 35. Find the first derivative of l(a) wrt a. -456 Let a be ((-1)/4 - (-3)/(-12))*-4. What is the third derivative of 3*u**3 + 102*u + 15*u**a - 102*u wrt u? 18 Let c(u) = 252*u**2 + 117*u. Let y(j) = 249*j**2 + 116*j. Let i(g) = 4*c(g) - 5*y(g). Find the second derivative of i(v) wrt v. -474 Let i(k) = k**2 - 6*k + 14. Let c be i(10). Suppose -3*y + c = -63. What is the second derivative of 7*j + 6*j + 48*j**5 - y*j**5 wrt j? 180*j**3 Let q(k) = 421*k**4 - 10*k**3 + 131*k - 10. Let s(u) = 1473*u**4 - 36*u**3 + 459*u - 36. Let w(r) = 18*q(r) - 5*s(r). Find the second derivative of w(j) wrt j. 2556*j**2 Let q(l) = -3*l**2 + 40*l + 33. Let c be q(14). Find the second derivative of 13*n**5 - 11*n**5 + 29*n**c + 35*n wrt n. 620*n**3 Suppose o = -2*o + 12. Find the second derivative of -21*s**2 + o - 1 + s - 3 wrt s. -42 Let s(i) = -3*i. Let n(g) = -80*g**2 - 49*g. Let o(l) = n(l) - 6*s(l). What is the second derivative of o(t) wrt t? -160 Let n(k) = 2*k**3 - 12*k**2 + 2*k - 9. Let t be n(6). What is the first derivative of 1 - 27*q**t - 9 - 11 wrt q? -81*q**2 Let d(n) be the second derivative of 1/3*n**4 + 0*n**3 + 13*n + 0*n**5 - 13/56*n**8 + 0*n**6 + 0*n**2 + 0*n**7 + 0. What is the third derivative of d(r) wrt r? -1560*r**3 Let b(r) be the second derivative of 28*r + 0*r**5 - 1/15*r**6 - 9/2*r**3 + 55/2*r**2 + 0*r**4 + 0. Differentiate b(x) wrt x. -8*x**3 - 27 Suppose -3*x = -c + 4, 3*x - 5*c + 19 = -1. Suppose 10*m - 72 = 6*m. Find the third derivative of x*j**4 + m*j**4 - 10*j**4 - j**2 wrt j. 192*j Let d(v) = -255*v**2 + 536*v. Let b(u) = -6*u**2. Let k(l) = -b(l) + d(l). What is the second derivative of k(g) wrt g? -498 Let v(h) be the second derivative of -83*h**4/6 - 93*h**3/2 - 315*h. Find the second derivative of v(y) wrt y. -332 Let i(a) = 365*a**3 + 7*a - 294. Let j(b) = 182*b**3 + 3*b - 148. Let u(g) = -3*i(g) + 7*j(g). Find the first derivative of u(o) wrt o. 537*o**2 Let w(l) be the first derivative of -25*l**4/4 - 66*l - 72. Differentiate w(r) with respect to r. -75*r**2 Differentiate -367*p - 149 - 835 + 48*p + 412 wrt p. -319 Let l be 1/((12/16)/3). Find the second derivative of -4*y - 41*y**2 - 3*y**l + 41*y**2 - 6*y**4 wrt y. -108*y**2 What is the second derivative of 316*g - 138528 + 138528 + 149*g**2 wrt g? 298 Let m(y) = -2*y**2 - 6*y - 2. Let a be m(-4). Let w = a + 11. Find the first derivative of 8 + 4*v**2 - 1 - w - 3*v**2 wrt v. 2*v Let u(d) = -137*d**3 + 28*d**2 + 15. Let z(g) = -137*g**3 + 27*g**2 + 18. Let q(m) = 6*u(m) - 5*z(m). What is the third derivative of q(j) wrt j? -822 Let l(t) = 49*t**2 - 5*t - 306. Let s(m) = 37*m**2 - 6*m - 305. Let z(c) = -6*l(c) + 5*s(c). What is the first derivative of z(i) wrt i? -218*i What is the third derivative of 6*u**2 + 7*u - 14*u + 91*u**4 - 5*u - 91*u**4 - 56*u**6 wrt u? -6720*u**3 Suppose 3*p - 79 = n - 23, 0 = n + 5. Let z = -14 + p. What is the first derivative
{ "pile_set_name": "DM Mathematics" }
- 5*(sqrt(153)*1 - sqrt(153))))**2 + 4. -162*sqrt(17) + 12406 Simplify (1*sqrt(18)*-4*1)/((sqrt(6) - (sqrt(72)*-1)/sqrt(12)) + sqrt(6) - sqrt(12)/(sqrt(2) - (sqrt(2) + sqrt(2)*1))). -sqrt(3) Simplify ((2 + sqrt(3))**2*-3 - (-4 + 1*sqrt(3) + sqrt(3))) + (sqrt(363) - (((sqrt(363) - -2*sqrt(363))**2 + sqrt(363))*-6 + sqrt(363))). 52*sqrt(3) + 19585 Simplify (2*(-4*(3 + sqrt(99)) - (-5 + sqrt(99) + 0))*-5)**2. 21000*sqrt(11) + 252400 Simplify ((((sqrt(2700)*4 - sqrt(2700)) + sqrt(2700) + sqrt(2700))*-2)/(sqrt(18)/(3*sqrt(2))*-5))**2. 10800 Simplify ((-1*sqrt(114) - sqrt(114) - sqrt(114))*1 - (sqrt(114) - -3*(sqrt(114) + sqrt(114)*2)))/(-1*sqrt(96)*-4). -13*sqrt(19)/16 Simplify -5 + -5 + -5 + 1*1*sqrt(7)*2 + -1. -16 + 2*sqrt(7) Simplify 2*5*((sqrt(2299) + (2*sqrt(2299) - sqrt(2299)) + -3)*3)**2*2. -23760*sqrt(19) + 1656900 Simplify 6*(((sqrt(2) - sqrt(128))*-3 - (sqrt(128) + -3 + sqrt(128))) + 5)**2. 480*sqrt(2) + 684 Simplify (sqrt(1872) + (sqrt(1872) - sqrt(1872)*2)*-1)**2 + 0 + -3 + sqrt(1872)*-1 + 2. -12*sqrt(13) + 7487 Simplify (4*5*(0 + sqrt(931)) + -5)**2. -1400*sqrt(19) + 372425 Simplify -3 + sqrt(19) + sqrt(133)/sqrt(7)*-6 + sqrt(19) + ((0 + sqrt(19))*-2)**2. -4*sqrt(19) + 73 Simplify (sqrt(12)/((sqrt(4)*2 + sqrt(4))*-1 + sqrt(4)) - -1*sqrt(36)/sqrt(300))**2 + 0. 27/100 Simplify ((sqrt(84)/(2*sqrt(3)))/sqrt(2))/(sqrt(7) + (sqrt(70)*1 - sqrt(70))/sqrt(10) - (-1*sqrt(77) + sqrt(77))/sqrt(11)). sqrt(2)/2 Simplify 3 + (-1*2*(sqrt(539) + 1)*-5)**2 + -4. 1400*sqrt(11) + 53999 Simplify (-6*((sqrt(228) - sqrt(228)*-2)*-2 + sqrt(228)))/(sqrt(120)/(sqrt(10)*1)*-4). -15*sqrt(19)/2 Simplify ((2 + (sqrt(1200)*-2 + sqrt(1200) - (sqrt(1200) + 1 - sqrt(12))) + 0)*4)**2. -1216*sqrt(3) + 69328 Simplify ((-2 + sqrt(396)*1 + 0)**2 + -2)*-5. -1990 + 120*sqrt(11) Simplify (-4 + (-2*sqrt(91)*-1)/sqrt(7))**2 + -2. -16*sqrt(13) + 66 Simplify (-3*(sqrt(108) - -2*sqrt(108))/(sqrt(36)/(sqrt(9)*-1)))**2 + 3. 2190 Simplify (4*((2 + sqrt(1008))*1 - (5*sqrt(1008)*-3 - sqrt(1008))))**2. 13056*sqrt(7) + 4661056 Simplify (sqrt(7260)*-4 + sqrt(60))/(sqrt(1200)*1). -43*sqrt(5)/10 Simplify (5*sqrt(51)*-2 + sqrt(51))/(sqrt(108)*4). -3*sqrt(17)/8 Simplify 4*(sqrt(133) - (sqrt(133) + -1*sqrt(133)*1 + sqrt(133) - sqrt(133)))/(sqrt(28)*-4). -sqrt(19)/2 Simplify (sqrt(2) - (5 + 0 + sqrt(2)))**2 + sqrt(200)/sqrt(4) - (4*(sqrt(800) + 1 - sqrt(800))**2 - sqrt(800)). 21 + 25*sqrt(2) Simplify 5 + -4*sqrt(612) + (sqrt(612) + -1 + -2)**2. -60*sqrt(17) + 626 Simplify (sqrt(1980) - (1*sqrt(1980) + sqrt(1980) + sqrt(1980) + sqrt(1980) - sqrt(1980)) - (sqrt(1980)*2 - sqrt(1980)))/((sqrt(495)*5 + sqrt(55))/sqrt(11)). -9*sqrt(11)/8 Simplify 1*(-3 + ((sqrt(847) - (sqrt(847) + sqrt(847) + -2)*-4) + 0 + sqrt(847) + 3)**2 + 2). -1100*sqrt(7) + 84724 Simplify 4*(-2*sqrt(200) + sqrt(200) + sqrt(200) - ((-1*sqrt(128))**2 + -5)). -492 Simplify -6*((sqrt(1216) - sqrt(1216)*3) + 3 + -4*(sqrt(1216) + 3)**2). 1248*sqrt(19) + 29382 Simplify 3 + (4*2*sqrt(171)*3)/(4*(sqrt(441) - sqrt(441)*-1 - sqrt(441))). 3 + 6*sqrt(19)/7 Simplify ((sqrt(384) + -2*sqrt(384))*-1)/(((sqrt(96)*-1 + sqrt(96))*-4 + sqrt(96))/sqrt(12)). 4*sqrt(3) Simplify 2 + 1*sqrt(228)/sqrt(12) - (sqrt(114)/(sqrt(6) - 2*sqrt(486)))**2. 559/289 + sqrt(19) Simplify (sqrt(210)/(sqrt(54)/sqrt(324)))/(sqrt(112)*1*1). 3*sqrt(5)/2 Simplify ((sqrt(78) + sqrt(78)*-2)*-1 + sqrt(78))/sqrt(6) + (sqrt(468) + -3)*-3. -16*sqrt(13) + 9 Simplify -4 + 5 + (sqrt(17) - sqrt(272)) + sqrt(17) + sqrt(1700) + -1 + 0. 8*sqrt(17) Simplify (sqrt(1300) + 3*sqrt(1300) + 0 + sqrt(1300)*3*6)**2. 629200 Simplify ((((sqrt(117) - -3*sqrt(117)) + sqrt(117))*5 - sqrt(117)) + sqrt(117))/sqrt(9) - (-2 + 4*(sqrt(13) + 2*sqrt(13)))**2. -1876 + 73*sqrt(13) Simplify (3*(sqrt(40) - sqrt(40)*1) + sqrt(640)*2 + sqrt(640))/((sqrt(72)*-1*-4)/sqrt(9)) + 4. 4 + 3*sqrt(5) Simplify ((-3*sqrt(36)*5)/(-1*sqrt(50) + sqrt(2)))**2. 2025/8 Simplify ((sqrt(48)*2)/(2*sqrt(24)))**2. 2 Simplify 5 + 2*(sqrt(2) + sqrt(32)*1 - (-2 + sqrt(8) + sqrt(2) + sqrt(2))). 2*sqrt(2) + 9 Simplify 2*(0 + sqrt(208) - sqrt(208))**2 + -4 + sqrt(13)*-1 + -3. -7 - sqrt(13) Simplify -2 + ((1*sqrt(95) - sqrt(95) - sqrt(95))*-1)/(6*sqrt(45) - sqrt(5)). -2 + sqrt(19)/17 Simplify 5*(sqrt(171) - ((-1*sqrt(171) - sqrt(171))*2 - sqrt(171) - sqrt(171)))/(sqrt(108)/(sqrt(12) + sqrt(12)*-4)). -105*sqrt(19) Simplify 2*(sqrt(180) + sqrt(180) + (sqrt(180) - (sqrt(180) + sqrt(180)*-3)*4)**2 + 1)*-5. -145810 - 120*sqrt(5) Simplify (-5*(1 + -1*sqrt(1300) - (sqrt(1300) + sqrt(1300) + sqrt(1300) + 2)*6))**2*4. 418000*sqrt(13) + 46942100 Simplify (sqrt(2736) - (sqrt(2736) - -1*sqrt(2736)*-5) - (-5*(1 + sqrt(2736)) + sqrt(2736)))**2 + 2*(sqrt(2736) + 5*sqrt(2736) + sqrt(2736))*-6. 72*sqrt(19) + 221641 Simplify 5 + (sqrt(44) - (-5 + -2 + sqrt(44)))*6 + 2. 49 Simplify 5*(-1 + (sqrt(133)/(sqrt(7)*-1) - sqrt(76)/(sqrt(4) - sqrt(4)*-1))*3). -45*sqrt(19)/2 - 5 Simplify -2*(-2 + (sqrt(7) - sqrt(448))) + sqrt(49)/(sqrt(70)/(-2*sqrt(10) + sqrt(10))). 4 + 13*sqrt(7) Simplify (-1 + sqrt(1216)*2 + sqrt(1216) + -3 - (-2 + sqrt(1216) + -4*sqrt(1216)*-1))**2. 64*sqrt(19) + 4868 Simplify ((3*sqrt(637)*2 - sqrt(637)) + sqrt(637) + (sqrt(637) - sqrt(637)*2*4))**2 + (-4 + (-1*sqrt(637))**2)*-6. -3161 Simplify -4 + ((2*sqrt(171))**2 - sqrt(171)*2) + -1. -6*sqrt(19) + 679 Simplify (-3*2*sqrt(170))/(-6*(sqrt(10) - sqrt(80)/sqrt(8)) - sqrt(10)). 6*sqrt(17) Simplify (1 + sqrt(243) + 1*(-1*sqrt(243) - sqrt(243) - sqrt(243)) - (-4 + -5*(sqrt(243)*3 - sqrt(243))))**2. 720*sqrt(3) + 15577 Simplify ((sqrt(684) + -2 + sqrt(684) + 0)**2 + -4*(sqrt(684) - (sqrt(684) + 2)))*-2 + 5. -5491 + 96*sqrt(19) Simplify -3*((sqrt(91) + sqrt(91) + (sqrt(91) + -1*sqrt(91))*-3 + sqrt(91))/(sqrt(7) - -4*(sqrt(14)/sqrt(2) - sqrt(7))) + -5). -9*sqrt(13) + 15 Simplify sqrt(18)/(-6*sqrt(6)*-2 - sqrt(6)) + (2 + (sqrt(3) - (sqrt(147) + sqrt(147)*-1 - sqrt(147))))**2. 353*sqrt(3)/11 + 196 Simplify 6*(sqrt(77)/(sqrt(21)/sqrt(3)*6) - -2*1*sqrt(33)/sqrt(3)). 13*sqrt(11) Simplify (sqrt(112)/(-5*sqrt(14)/sqrt(2)))/(sqrt(1568) - sqrt(1568)*-2). -sqrt(2)/210 Simplify 4 + -5*(sqrt(425) + 5 + (sqrt(425) + 1)**2). -2151 - 75*sqrt(17) Simplify -5 + (sqrt(209) - (sqrt(209) + sqrt(209) + (sqrt(209) + -1*sqrt(209))*-6))/(-4*(sqrt(11) - sqrt(11)*2)). -5 - sqrt(19)/4 Simplify (sqrt(48)/(sqrt(12) - sqrt(1728)*1 - sqrt(12)))/(sqrt(8) - (sqrt(24)/(-4*sqrt(3) + sqrt(3)) + sqrt(8))). -sqrt(2)/8 Simplify ((sqrt(600)*2 - (sqrt(24) + sqrt(864) + 2*sqrt(864)))/((sqrt(128) - (sqrt(128) + sqrt(128)*-2 + sqrt(128) + sqrt(128)) - sqrt(128))*3))**2. 27/16 Simplify sqrt(68)/(sqrt(8)/sqrt(2)) + sqrt(68) + -4 - (sqrt(34)/sqrt(2) + -1)*4. -sqrt(17) Simplify (sqrt(187) + 6*2*sqrt(187))/((-4*sqrt(110))/sqrt(10)). -13*sqrt(17)/4 Simplify -1*1*(-5 + 4*sqrt(117)). -12*sqrt(13) + 5 Simplify (3 + (((sqrt(78) - (sqrt(78) - (sqrt(78) + sqrt(78)*-1 + sqrt(78))))*-1)/sqrt(216))**2)*1. 121/36 Simplify 0 + -3*(-1 + sqrt(128)*1)**2*4*-4. -768*sqrt(2) + 6192 Simplify (sqrt(108)*1*1)**2 - (-6*(1*sqrt(15))/sqrt(5))**2. 0 Simplify (3 + 3*sqrt(80) + 1 + -2)**2 + 3 + -5. 48*sqrt(5) + 722 Simplify ((2*sqrt(95) - sqrt(95))*-1)/(sqrt(55)/sqrt(176)) + 5. -4*sqrt(19) + 5 Simplify -4 + (sqrt(68) + (sqrt(68) + 1 + sqrt(68))**2*-4 - (5*sqrt(68) + -1)**2) + -1. -2798 - 10*sqrt(17) Simplify ((sqrt(165)*-3 - sqrt(165))/sqrt(3))/(sqrt(11) - ((sqrt(11) - (sqrt(11) - 4*sqrt(539))) + sqrt(11))). sqrt(5)/7 Simplify 2 + (1 + sqrt(684))*4 + (1 + sqrt(684) + 1)**2 + sqrt(684). 54*sqrt(19) + 694 Simplify 2*sqrt(180) + -4 + (sqrt(180)*1*5)**2 + 3. 12*sqrt(5) + 4499 Simplify (sqrt(25)/(sqrt(35)/sqrt(7) + sqrt(5)) + 3 + (sqrt(20)/(sqrt(20)/sqrt(5)) + sqrt(5) - (sqrt(125) + 5)))**2. 10*sqrt(5) + 141/4 Simplify ((sqrt(320) - (sqrt(320) - (sqrt(320) - -5*sqrt(320)*-2)))/(sqrt(40)/sqrt(4)*-2 + 1*sqrt(1440)))**2. 648/25 Simplify (3*(2*sqrt(70)*3 - sqrt(70)))/(sqrt(110)/(sqrt(11) - 2*sqrt(11))*-6). 5*sqrt(7)/2 Simplify (-3*((sqrt(80) + 3 - (sqrt(5) + -1*sqrt(245))) + 5))**2. 1440*sqrt(5) + 5076 Simplify ((sqrt(1050)*2 - (sqrt(168) - -2*sqrt(168)))/(sqrt(36)/(sqrt(12)/(sqrt(18) - sqrt(2)))))**2. 28 Simplify ((sqrt(686) + sqrt(14))*-4)/(sqrt(14)/(sqrt(35)/sqrt(5))). -32*sqrt(7) Simplify (6*(sqrt(77) + 1*-2*sqrt(77) - sqrt(77)))/((sqrt(77)*1*3)/sqrt(7)). -4*sqrt(7) Simplify 2
{ "pile_set_name": "DM Mathematics" }
-1699, -2533, -3545, -4741? -d**3 - 71*d**2 + 38*d + 11 What is the o'th term of -326, -2379, -7884, -18563, -36138, -62331? -287*o**3 - 4*o**2 - 32*o - 3 What is the o'th term of -1497, -920, -343? 577*o - 2074 What is the u'th term of 1591, 2866, 4131, 5380, 6607? -u**3 + u**2 + 1279*u + 312 What is the i'th term of -12864, -25744, -38654, -51600, -64588, -77624, -90714? -i**3 - 9*i**2 - 12846*i - 8 What is the p'th term of -307, -632, -969, -1318, -1679, -2052? -6*p**2 - 307*p + 6 What is the k'th term of 47, 73, 97, 119, 139? -k**2 + 29*k + 19 What is the z'th term of -5481, -5575, -5669, -5763, -5857? -94*z - 5387 What is the v'th term of 1148, 5607, 13038, 23441, 36816? 1486*v**2 + v - 339 What is the n'th term of -411876, -411878, -411890, -411918, -411968? -n**3 + n**2 + 2*n - 411878 What is the p'th term of -370, -696, -1034, -1384, -1746? -6*p**2 - 308*p - 56 What is the i'th term of -384856, -384858, -384860, -384862, -384864? -2*i - 384854 What is the s'th term of 385, 1482, 3319, 5902, 9237, 13330, 18187, 23814? s**3 + 364*s**2 - 2*s + 22 What is the h'th term of 8670, 17340, 26010, 34680? 8670*h What is the k'th term of -13887, -55543, -124971, -222171, -347143? -13886*k**2 + 2*k - 3 What is the f'th term of -440, 234, 1352, 2908, 4896, 7310, 10144? -f**3 + 228*f**2 - 3*f - 664 What is the h'th term of 806, 6483, 21892, 51899, 101370? 811*h**3 - 5 What is the j'th term of -912, -1553, -2194, -2835, -3476? -641*j - 271 What is the s'th term of 3699, 7608, 11517, 15426, 19335, 23244? 3909*s - 210 What is the a'th term of -226, -358, -388, -310, -118, 194? a**3 + 45*a**2 - 274*a + 2 What is the d'th term of -142410, -284821, -427232, -569643? -142411*d + 1 What is the r'th term of 3954, 6225, 10002, 15279, 22050? -r**3 + 759*r**2 + r + 3195 What is the s'th term of -364, -345, -298, -211, -72? 2*s**3 + 2*s**2 - s - 367 What is the p'th term of -23, 14, 59, 100, 125, 122, 79, -16? -2*p**3 + 16*p**2 + 3*p - 40 What is the v'th term of 146, 282, 394, 488, 570? v**3 - 18*v**2 + 183*v - 20 What is the l'th term of 79, 17, -179, -503, -949, -1511, -2183? l**3 - 73*l**2 + 150*l + 1 What is the p'th term of -130, -218, -274, -292, -266, -190? p**3 + 10*p**2 - 125*p - 16 What is the o'th term of -135, -1361, -3399, -6243, -9887, -14325, -19551, -25559? o**3 - 412*o**2 + 3*o + 273 What is the p'th term of 309, 1303, 2951, 5253, 8209, 11819, 16083? 327*p**2 + 13*p - 31 What is the v'th term of 0, 304, 1134, 2754, 5428? 44*v**3 - v**2 - v - 42 What is the p'th term of -2000559, -8002244, -18005047, -32008962, -50013983, -72020104, -98027319? p**3 - 2000565*p**2 + 3*p + 2 What is the c'th term of -1015, -1972, -2929? -957*c - 58 What is the s'th term of 10381, 10383, 10389, 10399? 2*s**2 - 4*s + 10383 What is the f'th term of -106, -122, -164, -244, -374? -2*f**3 - f**2 + f - 104 What is the i'th term of -1889, -1900, -1917, -1940, -1969, -2004, -2045? -3*i**2 - 2*i - 1884 What is the x'th term of -306, -386, -488, -606, -734, -866? x**3 - 17*x**2 - 36*x - 254 What is the b'th term of -4202, -4205, -4210, -4217, -4226? -b**2 - 4201 What is the i'th term of 75677, 151355, 227031, 302705, 378377? -i**2 + 75681*i - 3 What is the h'th term of -162517, -325026, -487535, -650044, -812553? -162509*h - 8 What is the f'th term of -181245, -362493, -543741, -724989? -181248*f + 3 What is the m'th term of -1831, -1618, -1403, -1186, -967, -746, -523? m**2 + 210*m - 2042 What is the r'th term of 2656, 2664, 2686, 2728, 2796, 2896? r**3 + r**2 - 2*r + 2656 What is the w'th term of 6403, 6539, 6675, 6811, 6947, 7083? 136*w + 6267 What is the n'th term of 2956, 5014, 7070, 9124, 11176, 13226? -n**2 + 2061*n + 896 What is the b'th term of -115156, -115153, -115132, -115087, -115012, -114901, -114748, -114547? b**3 + 3*b**2 - 13*b - 115147 What is the x'th term of 267, 621, 1579, 3441, 6507, 11077, 17451? 50*x**3 + 2*x**2 - 2*x + 217 What is the i'th term of -21158, -42298, -63438? -21140*i - 18 What is the y'th term of -185, -491, -957, -1577, -2345, -3255, -4301, -5477? y**3 - 86*y**2 - 55*y - 45 What is the m'th term of 71, 621, 2097, 4949, 9627, 16581, 26261? 75*m**3 + 13*m**2 - 14*m - 3 What is the s'th term of 367, 686, 959, 1186? -23*s**2 + 388*s + 2 What is the l'th term of -809, -1644, -2519, -3440, -4413, -5444, -6539? -l**3 - 14*l**2 - 786*l - 8 What is the m'th term of 2353, 4701, 7057, 9427, 11817, 14233, 16681? m**3 - 2*m**2 + 2347*m + 7 What is the l'th term of 1761, 1794, 1849, 1926? 11*l**2 + 1750 What is the f'th term of -301, -344, -451, -652, -977? -5*f**3 - 2*f**2 - 2*f - 292 What is the g'th term of 5522, 5212, 4688, 3944, 2974, 1772? -g**3 - 101*g**2 + 5624 What is the u'th term of -5071, -10125, -15155, -20155, -25119, -30041? u**3 + 6*u**2 - 5079*u + 1 What is the a'th term of 48, -549, -1146, -1743? -597*a + 645 What is the o'th term of -71501, -143001, -214501, -286001, -357501, -429001? -71500*o - 1 What is the w'th term of -29467, -58972, -88477, -117982? -29505*w + 38 What is the m'th term of 4129648, 8259297, 12388946, 16518595? 4129649*m - 1 What is the b'th term of -32016, -32009, -32002, -31995, -31988, -31981? 7*b - 32023 What is the u'th term of -43, -460, -1591, -3790, -7411, -12808, -20335? -59*u**3 - 3*u**2 + 5*u + 14 What is the s'th term of -129134, -129138, -129152, -129182, -129234, -129314, -129428? -s**3 + s**2 - 129134 What is the j'th term of 37471, 37364, 37077, 36520, 35603, 34236, 32329, 29792? -15*j**3 - 2*j + 37488 What is the m'th term of -253, -424, -591, -748, -889, -1008? m**3 - 4*m**2 - 166*m - 84 What is the l'th term of 1638642, 3277284, 4915926, 6554568, 8193210? 1638642*l What is the m'th term of 29, -19, -113, -265, -487, -791, -1189, -1693? -2*m**3 - 11*m**2 - m + 43 What is the p'th term of 81212, 162423, 243634, 324845? 81211*p + 1 What is the u'th term of -41, -214, -517, -950, -1513? -65*u**2 + 22*u + 2 What is the x'th term of -450, -864, -1196, -1404, -1446, -1280? 7*x**3 - x**2 - 460*x + 4 What is the l'th term of 908, 7925, 26978, 64085, 125264, 216533, 343910, 513413? 1003*l**3 - 4*l - 91 What is the i'th term of 365, 1537, 3513, 6293, 9877? 402*i**2 - 34*i - 3 What is the x'th term of 16, 76, 178, 322, 508? 21*x**2 - 3*x - 2 What is the d'th term of 262708, 525414, 788120? 262706*d + 2 What is the j'th term of 265377, 530751, 796119, 1061481, 1326837? -3*j**2 + 265383*j - 3 What is the w'th term of -29680, -29611, -29424, -29059, -28456, -27555, -26296? 10*w**3 - w**2 + 2*w - 29691 What is the m'th term of -74632, -149252, -223870, -298486? m**2 - 74623*m - 10 What is the t'th term of 33931, 33971, 34011, 34051, 34091, 34131? 40*t + 33891 What is the m'th term of -2179, -2760, -3341? -581*m - 1598 What is the c'th term of -2663, -2574, -2495, -2432, -2391? -c**3 + c**2 + 93*c - 2756 What is the t'th term of 106, -462, -1408, -2732? -189*t**2 - t + 296 What is the p'th term of 586, 2384, 5378, 9568, 14954? 598*p**2 + 4*p - 16 What is the k'th term of -12191, -24455, -36719? -12264*k + 73 What is the g'th term of -99, -213, -437, -765, -1191, -1709? g**3 - 61*g**2 + 62*g - 101 What is the a'th term of -2575, -10334, -23259, -41344, -64583, -92970? a**3 - 2589*a**2 + a + 12 What is the d'th term of 206, 198, 200, 218, 258, 326, 428, 570? d**3 - d**2 - 12*d + 218 What is the h'th term of 40776, 81548, 122320, 163092, 203864? 40772*h + 4 What is the u'th term of 3, 22, 41, 60, 79? 19*u - 16 What is the l'th term of -250, -264, -298, -364, -474, -640, -874, -1188? -2*l**3 + 2*l**2 - 6*l - 244 What is the z'th term of 5490, 10983, 16476, 21969? 5493*z - 3 What is the u'th term of 61, 39, 1, -53, -123? -8*u**2 + 2*u + 67 What is the y'th term of 851, 837, 815, 785, 747? -4*y**2 - 2*y + 857 What is the d'th term of 14771, 59087, 132947, 236351, 369299, 531791? 14772*d**2 - 1 What is the a'th term of -9421, -9394, -9367, -9340, -9313, -9286? 27*a - 9448 What is the r'th term of -140, -294, -484, -728, -1044, -1450, -1964? -3*r**3 - 133*r - 4 What is the v'th term of -1091135, -1091134, -1091133, -1091132, -1091131, -1091130? v - 1091136 What is the r'th term of -20768, -20939, -21216, -21593, -22064, -22623, -23264? r**3 - 59*r**2 - r - 20709 What is the t'th term of 178, 636, 1372, 2386? 139*t
{ "pile_set_name": "DM Mathematics" }
18 Let h(d) = -2*d**3 + 57*d**2 - 5*d + 905. Let b(n) = n**3 - 11*n**2 + n + 3. Calculate 5*b(y) + h(y). 3*y**3 + 2*y**2 + 920 Let y(o) = 26*o - 14. Let i(q) = -74*q + 44. Calculate -3*i(h) - 8*y(h). 14*h - 20 Let u(j) = j**3 + j + 1. Let x be (-1)/(-3)*(-10)/((-60)/(-126)). Let v be ((-2)/x)/(40/(-280)). Let c(y) = 4*y**3 - y**2 + 3*y + 2. What is v*u(n) + c(n)? 2*n**3 - n**2 + n Let x(s) = -44*s**2 - 28*s + 4. Let b(w) = -57*w**2 - 38*w + 6. Give -11*b(c) + 15*x(c). -33*c**2 - 2*c - 6 Let d(o) = -100*o. Let j(a) = -11*a. Let z be 852/30 + 52/(-130). Give z*j(r) - 3*d(r). -8*r Let g(t) = 20*t**3 + t**2 - 21*t - 7. Let s(j) = 20*j**3 + j**2 - 22*j - 10. Give 4*g(i) - 3*s(i). 20*i**3 + i**2 - 18*i + 2 Let d(g) = 6*g**2 - 33*g - 10. Let h(j) = -3*j**2 + 15*j + 5. Calculate 3*d(f) + 7*h(f). -3*f**2 + 6*f + 5 Suppose -n - 3*o = -137, 0*o + o = 4*n - 613. Let r(h) = -3*h**3 - h**3 - n*h - h**3 + 2 + 151*h. Let s(i) = 6*i**3 + 2*i - 3. What is -3*r(j) - 2*s(j)? 3*j**3 - j Let j(q) = q. Let w(p) = -p**2 - 8*p. Suppose -3*h = 7*h - 60. Let b be (400/(-6))/(-5)*h. Let g = b + -85. Give g*w(t) - 40*j(t). 5*t**2 Let u = 10548 + -10549. Let x(h) = 12*h**2 + 7*h + 6. Let t(p) = p**2 + p + 1. Determine u*x(o) + 5*t(o). -7*o**2 - 2*o - 1 Suppose 46 = -20*z + 86. Let b(i) = i**3 - i**2 + 1. Let u(w) = -120*w**3 + 110*w**2 - 110. Give z*u(t) + 220*b(t). -20*t**3 Let o(g) = -30*g + 2. Let u(d) = -35*d + 12. Calculate -14*o(n) + 2*u(n). 350*n - 4 Suppose -10*a = -78*a + a - 268. Let o(x) = 35*x**3 - 11*x**2 - 3*x + 11. Let u(k) = -12*k**3 + 4*k**2 + k - 4. Give a*o(y) - 11*u(y). -8*y**3 + y Let n be -15*(-9)/6*8/30. Let y be (-3)/(1 - 10/4). Let q(v) = 14*v + 6*v + 2*v**2 - 25*v**y. Let m(o) = -8*o**2 + 7*o. Give n*q(f) - 17*m(f). -2*f**2 + f Let i(d) = 3*d**2 - 2*d + 4. Let j(w) = -4*w**2 + 3*w - 5. Let b(s) = 5*s**2 + s + 5. Let o be b(-2). Suppose 10*q - o = -73. What is q*i(c) - 4*j(c)? c**2 - 2*c Let x(o) = -3*o**3 + 3*o**2 + 5*o - 4. Let r(j) = -6*j**3 + 4*j**2 + 6*j - 1. Let s(p) = p**3 - 2. Let y(w) = -r(w) - 2*s(w). Determine 5*x(i) + 4*y(i). i**3 - i**2 + i Let g = -15 - -17. Let v(c) = 2*c - 1. Let y be v(g). Let q(d) = 2*d**2 + d - 3. Let x(j) = 4*j**2 + 2*j - 7. Determine y*x(i) - 7*q(i). -2*i**2 - i Let q(n) = -n + 1. Let r(c) = -4*c + 4. Let t = -6 - -14. Let x be ((4 + -2)/t)/(3/(-12)). Give x*r(z) + 3*q(z). z - 1 Let g(o) = -32135*o**3 - 80*o**2 + 40*o - 80. Let z(f) = -2472*f**3 - 6*f**2 + 3*f - 6. Determine 3*g(w) - 40*z(w). 2475*w**3 Let q(t) = 11*t**3 - 104*t**2 - 8546*t - 26. Let m(d) = -5*d**3 + 48*d**2 + 4273*d + 12. What is 13*m(i) + 6*q(i)? i**3 + 4273*i Let j(z) = z**3 - z**2 + 1. Let d(u) = -u + 6. Let v be d(4). Let o(l) = 3*l - 5*l - 8*l**2 + 0*l**2 + 10 + 12*l**3 - 2*l**v. What is -10*j(a) + o(a)? 2*a**3 - 2*a Let d(s) = -880*s**2 - 80*s - 7. Let k(o) = 587*o**2 + 57*o + 5. Calculate -5*d(c) - 7*k(c). 291*c**2 + c Let o(d) = -5*d**3. Let f be -10 + 65/(-13) + 17 + 2. Let l(h) = 3*h**3. Suppose -4*q + 5*q - 7 = 0. Determine f*o(k) + q*l(k). k**3 Let r(d) = 3237*d**2 + 8*d - 7. Let i(q) = -2*q**2 - 4*q + 3. Calculate 4*i(j) + 2*r(j). 6466*j**2 - 2 Let l(q) be the second derivative of -q**4/12 + q**3/6 - q**2/2 + 7*q - 102. Let j(y) = -10*y**2 - 8*y + 6. Give -j(v) - 6*l(v). 16*v**2 + 2*v Let x(q) = -11*q**3 + 3*q**2 + 5*q + 2. Let t(j) = 17*j**3 - 5*j**2 - 8*j - 3. Suppose a = z - 41 + 26, 5*a - z = -47. Calculate a*x(p) - 5*t(p). 3*p**3 + p**2 - 1 Let c be 36/(-6) - (-1 + -3). Let h(j) = 5*j - 27. Let y(k) = -16*k + 91. Let g(x) = 10*h(x) + 3*y(x). Let z(i) = 6*i + 10. Determine c*z(q) + 7*g(q). 2*q + 1 Let g(y) = -7*y**3 - 2*y**2 + 6*y + 3. Let r = 360 - 353. Let f(x) = 11*x + 11947*x**3 + 3*x**2 - r*x**2 - 11960*x**3 + 5. Give -6*f(o) + 11*g(o). o**3 + 2*o**2 + 3 Let v(z) = 5*z**2 - 4*z**2 - 2*z**2. Let n = -140 - -249. Let x = 108 - n. Let p(h) = -h**3 + h**2 - 2*h. Determine x*v(t) - p(t). t**3 + 2*t Let p(q) = q**3 - 3*q**2 - 2*q - 6. Let h be p(4). Let l(w) = 86*w**2 - 102*w**h - 95*w**2. Let y(d) = -11*d**2. What is 2*l(x) - 21*y(x)? 9*x**2 Let t(s) = -6*s**2 - 713*s + 118. Let i be t(-119). Let y(b) = b**2 + b - 1. Let d(r) = -10*r**3 - 5*r**2 - 4*r + 5. Calculate i*d(c) - 5*y(c). 10*c**3 - c Let m(d) = 4*d - 5. Let c(z) = 28*z - 864 - 11*z + 837. Let k(i) = i - 3. Let j(y) = -c(y) + 4*k(y). Calculate -2*j(p) - 7*m(p). -2*p + 5 Let l(v) = 69*v**3 + 3*v + 4*v**2 + 74*v**3 + 72*v**3 - 6 - 214*v**3. Let a(d) = -d**2 - d + 1. Determine 4*a(c) + l(c). c**3 - c - 2 Let j(y) = 89662200*y + 1206400. Let p(o) = 5797*o + 78. What is 3*j(s) - 46400*p(s)? 5800*s Let t(i) = -447*i + 19218. Let b be t(43). Let u(z) = 7*z - 6. Let j(m) = -15*m + 12. Determine b*j(q) - 7*u(q). -4*q + 6 Let t(h) = 72*h + 19. Let d(b) = 11*b + 1. Determine 5*d(j) - t(j). -17*j - 14 Suppose -304 + 115 = -27*y. Let z(o) = o**2 + y + 2*o + 0 - 5 + o**2. Let l(x) = x**3 - x**2 - x - 1. What is 2*l(j) + z(j)? 2*j**3 Let i(j) = -60*j**3 + 13*j**2 - 4*j - 2. Let l(n) = 242*n**3 - 56*n**2 + 18*n + 9. Give 9*i(o) + 2*l(o). -56*o**3 + 5*o**2 Let s(x) be the second derivative of x**3/3 - 3*x**2/2 + 2*x - 288. Let q(o) = -o**2 - o + 1. What is -2*q(f) - s(f)? 2*f**2 + 1 Let o(c) = 9*c + 120. Let n(l) = 10*l + 125. Give 5*n(t) - 6*o(t). -4*t - 95 Let y(h) = -2 + 23*h - 9*h - 11*h + 4 - 7*h. Let m(u) = u**2 - 8*u + 9. Let z be m(6). Let k be 4/(-3)*(-12)/8. Let j(g) = -3*g + 2. Give k*y(p) + z*j(p). p - 2 Let v(y) = -2*y**2 - y + 2. Let u(p) be the third derivative of -6*p**2 + 5/6*p**3 + 5*p + 0 + 1/120*p**6 - 1/8*p**4 - 1/15*p**5. Give 2*u(r) - 5*v(r). 2*r**3 + 2*r**2 - r Let g(z) = 3*z**3 + 2*z**2 - 5*z - 5. Let o = 3 + 3. Let i(v) be the third derivative of v**6/30 + v**5/20 - v**4/4 - v**3 + 565*v**2 + v. Give o*g(d) - 5*i(d). -2*d**3 - 3*d**2 Let b(t) = -5*t**2 + 9*t + 21. Let z(r) = -r**2 - r - 6. Let m(l) = -3*l**2 - 7. Let v(a) = -m(a) + 2*z(a). Let i = 8 - -1. What is i*v(s) + 2*b(s)? -s**2 - 3 Let u(k) = 3*k**3 - 3*k - 3. Let t(a) = -3*a**3 - 3*a**2 + 31*a - 2. Let j(n) = -4*n**3 - 2*n**2 + 25*n. Let z(r) = -4*j(r) + 3*t(r). What is 5*u(c) - 2*z(c)? c**3 + 2*c**2 - c - 3 Let z(d) = 1290*d**2 + 1240*d + 1240. Let k(p) = 186*p**2 + 177*p + 177. Let r(q) = 15*k(q) - 2*z(q). Let u(b) = -b**2 - b - 1. Calculate r(v) + 175*u(v). 35*v**2 Let p(h) = -3*h**2 - 14*h - 9. Suppose -23 = -k + b, -k = 3*b + 24 - 23. Let m(o) = o**2 + 5*o + 3. Calculate k*m(q) + 6*p(q). -q**2 + q - 3 Let n(b) = -3*b**2 - 9*b + 4. Let u(r) = -7*r**2 - 26*r + 12. Let m(j) = -11*n(j) + 4*u(j). Let o(y) = y - 1. Give -m(i) - 4*o(i). -5*i**2 + i Let f(z) be the second derivative of -z**3/6 + z**2/2 - 7416*z. Let u = -2 - -1. Let s(k) = -k - 1. Let n = 0 - 1. Determine n*s(m) + u*f(m). 2*m Let v(g) = g**3 + g**2 + g. Let k(l) be the second derivative of 0*l**2 - 1/3*l**3 - 2*l + 7/20*l**5 - 1/6*l**4 + 73. Give k(x) + 2*v(x). 9*x**3 Let b(d) = -398*d + 12. Let h(k) = -k - 2. What is -b(z) - 5*h(z)? 403*z - 2 Let a(s) = -9*s**3 + 4*s**2 + 20. Let n(d) = -4*d**3 + 2*d**2 + d + 10. Determine 2*a(k) - 5*n(k). 2*k**3 - 2*k**2 - 5*k - 10 Let b(i) = 8*i**2 - 46*i - 6. Let k(m) = -7*m**2 + 54*m + 5. Calculate -3*b(h) - 4*k(h). 4*h**2 - 78*h - 2 Let k be 17 + (-1272)/54 + (-1)/(9/4). Let n(w) = -10*w + 5. Let l(f) = -3*f + 2. Determine k*l(j) + 2*n(j). j - 4 Let c(m) = 28*m**3 - 5. Suppose -1327*f + 398 = -1328*f + 134. Let l(v) = -1485*v**3 + 264. Give f*c(b) - 5*l(b). 33*b**3 Let m(u) = -15*u**2 + 25*u - 25. Let f(n) = 15*n**2 - 25*n + 29. Calculate -6*f(r) - 7*m(r). 15*r**2 - 25*r + 1 Let l(g) = g - 53. Let b(m) = -1428*m - 27030. Calculate -3*b(o) + 1530*l(o). 5814*o Let d(q) = 13*q**3 - 7*q + 6. Let w(y) = 14*y**3 - 8*y + 7. Let j = -13257 - -13263. What is j*w(v) - 7*d(v)? -7*v**3 + v Let h(u) = 13. Let n(v) = 33. Let q(r) = 5*h(r) - 2*n(r). Let m(y) = y + 4. Let p(s) = 17*s + 19. Let w(d) = 6*m(d) - p(d). What is -5*q(o) - w(o)? 11*o Let v(t) = 6*t**2 + 4*t. Let k(n) = 1400*n**2 - 2858*n**2 + 1489*n**2 + 21*n. Give -4*k(r) + 22*v(r). 8*r**2 + 4*r Suppose 0 = -y + 4*c - 4, -2*c = 5*y + c - 49. Let t be ((-45)/24 - 1/y)*1. Let g(s) = -9*s. Let u(a) = -37*a. Give t*u(b) + 9*g(b). -7*b Let z(u) = -19*u**3 - 2*u**2 - 7. Suppose 6932*d - 14 = 6930*d. Let i(m) = 6*m**3 + m**2 + 2. Let y be 2 + -1 - (2 -
{ "pile_set_name": "DM Mathematics" }
is f(-4)? -1 Let h = 5 + -6. Let t = 18 + -12. Let o(j) = t*j**2 - 11*j + 7*j + 2*j - 1. Give o(h). 7 Let z = -644 + 647. Let s(h) be the first derivative of -h**4/4 + 4*h**3/3 - 3*h**2/2 + 3*h - 1. Determine s(z). 3 Let p(o) = 5*o + 4. Suppose -9*h + 1 = -26. Calculate p(h). 19 Let f = -28 - -32. Let c be (2/f*-6)/1. Let v(u) = -3*u**2 - 5*u - 3. Give v(c). -15 Let z = -38 - -11. Let o = z + 24. Let q(g) = 4*g - 4. Calculate q(o). -16 Let b(z) = 4*z**3 - 10*z**2 - 10*z + 6. Let f(q) = q**3 - 2*q**2 - q. Let j(s) = b(s) - 3*f(s). What is j(4)? -22 Let q(d) = -15*d + 4*d**2 - 8 + 0*d + 5*d + d**3. What is q(-6)? -20 Let j(f) be the second derivative of f**3/6 + 5*f**2/2 - 6*f. Let y = 8 + -8. What is j(y)? 5 Let q = -84 - -76. Let p(j) = 16*j + 44. Let k(w) = -3*w - 9. Let f(s) = 11*k(s) + 2*p(s). Give f(q). -3 Let m(t) = t - 1. Let w(x) be the first derivative of x**3/3 - 5*x**2/2 + 7*x - 2. Let j be w(6). Let c = j - 19. Calculate m(c). -7 Let d(s) = s**3 - 3*s**2 - 3*s + 2. Let f be (-297)/6*2/(-3). Suppose 0 = -6*k - f + 3. Let w(t) = t + 9. Let j be w(k). Give d(j). 6 Let l(c) = -c + 2. Let w = -20 - -24. Suppose 0 = -w*j - j + 350. Let f be 4/(-10) - (-518)/j. What is l(f)? -5 Let f = 353 - 342. Let s(p) = p - 19. What is s(f)? -8 Let r be (-32)/(4 + 4/((-16)/18)). Suppose -k = 67 - r. Let g(x) = -x**2 + 4. Give g(k). -5 Let a be (-14)/(-56) - (-3 - 41/(-4)). Let j(i) = -i**3 - 8*i**2 - 6*i + 15. What is j(a)? 8 Let p(q) = -q**2 - 21*q - 16. Let y(j) = -4*j - 3. Let h(c) = 2*p(c) - 11*y(c). Calculate h(3). -11 Let q(b) be the first derivative of b**7/840 + b**6/120 + b**5/60 + b**4/8 + b**3 + 15. Let d(x) be the third derivative of q(x). Determine d(-2). 3 Let i(w) = 11*w**3 - 20*w**2 + 17*w + 13. Let h(c) = -13*c**3 + 22*c**2 - 18*c - 14. Let b(m) = 6*h(m) + 7*i(m). Give b(-9). -11 Let u(q) = 3*q**2 - q. Let s be -7 + 2880/39 + 2/13. Let l = -66 + s. Give u(l). 2 Let x(b) = b**2 + 6*b - 1. Let p(g) = 3*g - 2. Let c be p(-5). Let n = -13 - c. Let s be n*1/2 - 8. What is x(s)? -1 Let z(x) = 3*x - 5. Suppose -3*m + 7 = -5. Suppose -5*g = -0*g - m*u - 80, 0 = -3*u. Let d be ((-9)/(-6))/(6/g). Give z(d). 7 Let g = -1876 + 1874. Let c(v) = -2*v**2 - 3*v - 6. What is c(g)? -8 Let r(c) = -7*c - 7. Let b(a) = 10*a + 10. Let g(i) = 4*i**2 + 2*i - 1. Let k be g(1). Let p(v) = k*b(v) + 7*r(v). Let h = 113 - 118. What is p(h)? -4 Let t(w) = -7*w**2 + 13*w**2 - 3*w**2 - w + 0*w. What is t(-1)? 4 Let p(y) = -y. Let m(r) = -6*r + 6. Let q(o) = -m(o) + 5*p(o). Calculate q(7). 1 Let o be (-5 - (-2 + -2 + 4))/(-5). Let f(x) = 9*x**2 + x - 1. Calculate f(o). 9 Suppose 7*s = -2 + 37. Let a(w) be the first derivative of w**3/3 - 5*w**2/2 - 7*w + 132. Determine a(s). -7 Suppose 0 = 5*y + 5*k + 5, y - 2*k = -4*k - 2. Let a(j) = 0 + 6 - j - 8 - 5. Let z(x) = -3*x - 21. Let v(w) = -11*a(w) + 4*z(w). Give v(y). -7 Let y(i) = -7*i - 37. Let n(u) = 2*u + 7. Let f(j) = -11*n(j) - 2*y(j). What is f(1)? -11 Suppose 15 = 3*z - 3*i, -6 = -0*i - 3*i. Let y = z + -13. Let d(p) be the second derivative of -p**5/20 - 5*p**4/12 + p**3 - 4*p**2 + 41*p. Calculate d(y). -8 Let p(k) = k**3 + 6*k**2 + k. Suppose -5*c = 33 - 3. Determine p(c). -6 Let x(b) = -b**3 - 5*b**2 + 2*b - 2. Suppose -5*r + r - 92 = 0. Let t = -28 - r. Give x(t). -12 Let s(b) = -b**3 - 4*b**2 - 3*b - 1. Let g be (-1)/(2/3*6/16). Give s(g). 11 Let c(f) = 3*f**2. Let t = 0 + 4. Suppose 5*s = 3*k + 16, t*k + 6 = s - 4. Give c(s). 12 Suppose -5*p = -2 + 27. Let u be (-3 - p)*4 + -2. Let c(r) = -4*r - 3 + r + u*r. What is c(2)? 3 Suppose 11*u - 35 = 16*u. Let w(j) = 253*j**2 - 261*j**2 + 3*j**3 - 7*j - 4*j**3 + 2. Determine w(u). 2 Let i(v) = 17 - 3*v + 6 + 8 - 40. Give i(-7). 12 Suppose 25*g + 193 - 18 = 0. Let n(y) = y**3 + 5*y**2 - 16*y - 9. Give n(g). 5 Suppose 5*d + 2 = 22. Let n(w) = 7*w**3 + 1 + 2 - 2 - 6*w**2 + d*w**2. Give n(1). 6 Let x(y) = y. Let b(j) = 12*j + 28. Let m(q) = 6*q + 14. Let d(c) = -3*b(c) + 7*m(c). Let k(i) = -d(i) + 5*x(i). Give k(0). -14 Let b(k) = -4 + 11*k - 4*k + 4*k**2 - 6*k**2 + 0*k. Let l(h) = -h**2 - h + 4. Let s be l(0). Let r be b(s). Let y(m) = -m - 7. What is y(r)? 1 Let u(s) be the first derivative of -3*s**2/2 + s + 37. Let t(m) = -m - 1. Let n be t(-3). Determine u(n). -5 Let i = -67 + 84. Let c(x) = -14*x + 1. Let t(o) = 40*o - 4. Let j(z) = i*c(z) + 6*t(z). Determine j(5). 3 Suppose -8*r - 1096 = -1112. Let j be -1 - 0 - (2 + -3). Let u(n) = n - n**2 - n**2 - n**2 + j*n**r. Determine u(-1). -4 Let i(g) = -27*g**3 + 20*g**2 - 21*g + 19. Let k(t) = 5*t**3 - 4*t**2 + 4*t - 4. Let w(o) = -2*i(o) - 11*k(o). What is w(4)? -2 Let y(d) = -d**3 + 5*d**2 + 2*d - 4. Let b = -61 + 75. Suppose i = -3*r + b, 0 = 3*r - 0*r - 4*i - 4. Calculate y(r). 20 Let h(y) = 7*y**3 - y**2 - y + 3. Let f be (-4)/3 + 455/195. Determine h(f). 8 Let o(j) = -2*j**2 - 13*j + 7. Suppose -5*w + 11 - 46 = 0. Let q be o(w). Suppose q*a - 5*a + 30 = 0. Let f(u) = -u + 12. Give f(a). 6 Let w be 3 + (16 + -1)/5. Suppose -5*g = -f - 3*g + w, 4*g + 18 = 5*f. Let b(x) = x**3 - x**2 - x. Determine b(f). 2 Let x(r) = r**2 + 40 - 21 - 10*r - 5. Determine x(8). -2 Let j(l) = l**2 - l + 12. Let q(v) = v**2 + 13*v - 19. Let t be q(-15). Suppose 2*d - 4*o - 31 = -t, -4*d = -4*o - 20. What is j(d)? 12 Suppose a = 6*a + 30. Let j = -7 - a. Let g(m) = -7*m - 1. Determine g(j). 6 Let t(k) = -9*k + 11. Let g be t(2). Let i(o) = o**3 + 8*o**2 + 7*o + 5. Determine i(g). 5 Let k be (7 - -5)*2/8. Let o(w) = -9 - 5*w**2 + w**3 + 51*w + k - 53*w + 10*w**2. Let h be 1 + (1 - 7/1). What is o(h)? 4 Let d(l) be the first derivative of -1/2*l**2 + 7/3*l**3 - 1 + 0*l. What is d(-1)? 8 Let i(r) = -5*r**3 - r**2 - r + 1. Let s(y) = y - 4. Let t be s(-11). Let x = -13 - t. Let a be -2 + 1/x*6. What is i(a)? -6 Let u = 1853 - 1847. Let b(f) be the first derivative of -f**4/24 + f**3/2 + f**2/2 + 1. Let t(a) be the second derivative of b(a). Calculate t(u). -3 Suppose -4*b + 3 = -5. Suppose -3*o + 2 = -b*o. Let r(t) = -o*t - 8 + 8 + 3*t. Give r(4). 4 Let d be ((-126)/168)/(1/((-4)/(-1))). Let p(i) = -i**3 - 5*i**2 - 5*i - 2. Give p(d). -5 Let l(y) = -y - 10. Let z = -34 - -16. Let j be l(z). Let v(t) = 10 + j*t**2 + 24*t - t**3 - 10*t - 15*t - 9*t. Calculate v(7). -11 Let v(q) = -q + 1. Let k(l) = -4*l. Let s be (2/(-5))/(-1)*-5. Let t(r) = s*k(r) + 4*v(r). Let d be 2/((-20)/12 - -1). Give t(d). -8 Let d be (3 - 9/2)/(12/304). Let t be (d/(-133))/((-2)/(-28)). Let s(g) = -g - 2. Calculate s(t). -6 Let y(a) = 2*a - 4. Suppose 11*n - 20 + 20 = 0. Calculate y(n). -4 Let o(u) be the third derivative of -u**4/24 - u**3/3 - 18*u**2. Suppose 8*i = 7*i. Give o(i). -2 Let a be (-1)/2*(4 + 2). Let n(j) = -j**2 - 3*j + 1. Let d be n(a). Let k(u) = -u**2. Let v(y) = -3*y**2 + y - 1. Let f(i) = -4*k(i) - v(i). What is f(d)? 7 Suppose -4*q = -q - 9. Let k(t) = 5 + q - 8 + t + 1. Give k(-7). -6 Let j(s) = 37*s - 368. Let o be j(10). Let b(w) = -6*w**3 - w**2 + 3*w - 3. What is b(o)? -49 Let g(q) be the second derivative of 2/3*q**3 - 2*q**2 + 1/20*q**5 - 9*q + 0 - 5/12*q**4. Calculate g(4). -4 Let z(j) = -3*j**2 - 4*j - 1. Suppose 0 = -0*d - d - 5*w + 34, -12 = -3*d + 3*w. Let t be -1*(-1)/(-1)*(d - 5). What is z(t)? -33 Let v(o) = -o**3 - 4*o**2 + 7*o + 1. Suppose -12*i = -11*i - 7. Suppose -4*y + 3*l = i*l + 12, 18 = -2*y + 4*l. What is v(y)? -9 Let g(n) = 5*n - 21. Let q be g(4). Suppose -2*i = -2 + 4. Let r be 1/(q + (-1 - i)). Let l(o) = -5*o**3 - o**2 + o + 1. Calculate l(r). 4 Let d = -10 + 8. Let t be -3 + 0/(-1 - d). Let k(v) = 3*v**3 + 0*v**2 - 3*v**2 - 4*v**3 - 232*v + 2 + 230*v. Determine k(t). 8 Suppose 0 = 17*r - 18*r + 2. Let j(d) be the first derivative of -5*d + 1 - 1/3*d**3 - 4*d**r. What is j(-5)? 10 Let b(m) = 2 + 3 + 39*m - 28*m - 4. Calculate b(-2). -21 Let z(d) = -6*d + 1. Let a be z(-1). Let i(f) = 13*f - 7. Let t(g) = 35*g - 21. Let k(r) = -8*i(r) + 3*t(r). Calculate k(a). 0 Let o be (-58)/(-290)*(7 + -3 - -1). Let m(v) = 25*v - 3. Give m(o). 22 Let i(n) = -3*n - 15. Let p be i(-1). Let x(t) = t**2 + 11*t - 9. Give x(p). 3 Let n = -5 + 9. Let z(r) = 5*r**3 - 2*r**2 + 7*r - 2. Let s(y) = -y**3 + y**2 - y + 1. Let v(f) = n*s(f) + z(f). Let w = 21 + -23. Determine v(w). -4 Let p(b) be the first derivative of -b**4/4 + b**3 + b**
{ "pile_set_name": "DM Mathematics" }
next term in 36, 154, 358, 648, 1024, 1486? 2034 What is the next term in -292, -863, -2422, -5467, -10496, -18007? -28498 What is next in 13705, 27412, 41119? 54826 What is the next term in -593552, -593549, -593546, -593543, -593540, -593537? -593534 What is the next term in -3393, -6799, -10219, -13653, -17101, -20563? -24039 What is the next term in -622, -632, -644, -664, -698, -752, -832? -944 What is next in 1964410, 1964409, 1964408, 1964407, 1964406, 1964405? 1964404 What comes next: -693, -72, 963, 2412, 4275, 6552, 9243? 12348 What is next in -1587, -1595, -1613, -1641? -1679 What comes next: 417, 803, 1199, 1623, 2093, 2627, 3243? 3959 What is the next term in 33223, 66450, 99677? 132904 What is the next term in 1615, 1580, 1545, 1510? 1475 What is the next term in -2108020, -2108018, -2108016? -2108014 What is the next term in -1873, -1906, -1987, -2140, -2389, -2758? -3271 What is the next term in 98, 428, 984, 1766, 2774, 4008, 5468? 7154 What is next in 4699, 4698, 4725, 4798, 4935, 5154, 5473, 5910? 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-987 What is next in 2125, 1831, 1537, 1243, 949? 655 What is next in -181829, -181824, -181817, -181808? -181797 What is the next term in 334, 277, 184, 55, -110? -311 What comes next: 16784, 16751, 16718, 16685, 16652? 16619 What is next in -13567, -13588, -13597, -13588, -13555, -13492? -13393 What is next in 7352, 14698, 22034, 29360, 36676, 43982? 51278 What comes next: 521, 1052, 1569, 2072, 2561, 3036, 3497? 3944 What is next in 8245, 16494, 24743? 32992 What comes next: 5819, 5812, 5805, 5798, 5791? 5784 What comes next: -370, -740, -1114, -1498, -1898? -2320 What is next in 887549, 887557, 887569, 887585? 887605 What is the next term in -10781, -10782, -10783, -10784? -10785 What comes next: 4297, 4253, 4181, 4081, 3953? 3797 What comes next: 6978, 27929, 62856, 111765, 174662, 251553? 342444 What comes next: 2936, 2943, 2950, 2957, 2964? 2971 What comes next: -6589, -6588, -6587, -6586? -6585 What is the next term in 92568, 185107, 277646, 370185, 462724, 555263? 647802 What comes next: -249, -221, -153, -45, 103, 291, 519? 787 What comes next: 197, 1963, 6763, 16115, 31537, 54547, 86663, 129403? 184285 What is next in -229, -447, -661, -871, -1077? -1279 What comes next: -1949, -3907, -5873, -7853, -9853, -11879? -13937 What is the next term in 60, 122, 218, 342, 488? 650 What is the next term in 135, 189, 285, 423? 603 What is next in 3190, 6388, 9584, 12778, 15970, 19160, 22348? 25534 What is next in -157, 34, 351, 794? 1363 What comes next: -2486702, -2486699, -2486696, -2486693, -2486690? -2486687 What is the next term in -1857, -1837, -1817? -1797 What is next in 2464, 9184, 20390, 36088, 56284, 80984, 110194, 143920? 182168 What is the next term in -12580, -12564, -12548, -12532, -12516? -12500 What is the next term in -3148, -3011, -2622, -1855, -584, 1317, 3974, 7513? 12060 What is next in 143, 573, 1291, 2297, 3591, 5173, 7043? 9201 What is the next term in 48204, 48201, 48188, 48159, 48108, 48029, 47916, 47763? 47564 What comes next: -280, -784, -1626, -2812, -4348, -6240, -8494, -11116? -14112 What comes next: 13559, 27129, 40703, 54281, 67863? 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-5260 What comes next: -431, -858, -1289, -1736, -2211, -2726, -3293? -3924 What is next in 4115, 4351, 4599, 4865, 5155, 5475? 5831 What comes next: -840, -900, -958, -1014, -1068, -1120, -1170? -1218 What is the next term in -14166, -28312, -42458, -56604? -70750 What is the next term in 1686, 1554, 1204, 528, -582? -2234 What comes next: -744, -3274, -7590, -13692, -21580? -31254 What comes next: 126, 277, 484, 711, 922, 1081, 1152, 1099? 886 What is the next term in 828, 1063, 1298, 1533, 1768? 2003 What comes next: 7062, 7054, 7042, 7026, 7006? 6982 What is next in -2732, -2732, -2734, -2738? -2744 What comes next: -386, -1627, -3730, -6701, -10546, -15271? -20882 What is next in -2090432, -4180866, -6271300, -8361734, -10452168, -12542602? -14633036 What is next in 5531, 11025, 16521, 22019, 27519? 33021 What is next in 102418, 102414, 102410, 102406? 102402 What is next in -435, -405, -361, -297, -207, -85, 75? 279 What comes next: -150182, -300383, -450584, -600785, -750
{ "pile_set_name": "DM Mathematics" }
base 5) to base 13 27 What is 2112 (base 4) in base 7? 303 105 (base 12) to base 11 126 3 (base 13) to base 9 3 Convert 2 (base 14) to base 7. 2 Convert 402 (base 7) to base 11. 170 What is -3 (base 8) in base 7? -3 What is -5 (base 12) in base 3? -12 -13 (base 6) to base 11 -9 Convert -9 (base 11) to base 5. -14 -11 (base 4) to base 5 -10 What is 2e (base 15) in base 13? 35 Convert 221 (base 3) to base 16. 19 Convert 2 (base 10) to base 9. 2 13 (base 13) to base 5 31 What is 8 (base 16) in base 12? 8 What is -3 (base 9) in base 12? -3 What is d (base 15) in base 2? 1101 Convert -2 (base 13) to base 14. -2 What is 24 (base 8) in base 14? 16 101 (base 15) to base 14 122 0 (base 7) to base 3 0 What is 3b (base 14) in base 2? 110101 -1 (base 9) to base 2 -1 Convert -1 (base 15) to base 3. -1 What is -77 (base 9) in base 3? -2121 100011100 (base 2) to base 13 18b What is -215 (base 8) in base 5? -1031 Convert 21 (base 5) to base 2. 1011 Convert -1001 (base 3) to base 16. -1c Convert -1 (base 10) to base 4. -1 101 (base 3) to base 13 a Convert -23 (base 4) to base 6. -15 4b (base 16) to base 6 203 8 (base 11) to base 6 12 101101 (base 2) to base 3 1200 Convert -3 (base 9) to base 7. -3 What is -7 (base 10) in base 7? -10 What is -326 (base 9) in base 10? -267 Convert 103 (base 14) to base 11. 171 What is 21 (base 5) in base 3? 102 134 (base 13) to base 14 112 -2 (base 10) to base 14 -2 What is -96 (base 14) in base 8? -204 What is -531 (base 6) in base 9? -241 What is -1142 (base 5) in base 9? -211 What is -11 (base 14) in base 13? -12 -34 (base 7) to base 16 -19 What is 2 (base 15) in base 8? 2 What is 1 (base 4) in base 5? 1 What is -1 (base 7) in base 13? -1 What is 67 (base 14) in base 6? 231 What is 1 (base 16) in base 3? 1 What is -21 (base 13) in base 4? -123 15 (base 8) to base 3 111 Convert 16 (base 9) to base 13. 12 -177 (base 8) to base 16 -7f What is 16 (base 12) in base 6? 30 What is 1 (base 14) in base 7? 1 -114 (base 6) to base 13 -37 What is -33 (base 8) in base 11? -25 What is -154 (base 6) in base 2? -1000110 What is -11 (base 4) in base 10? -5 What is -3b (base 16) in base 8? -73 Convert 23 (base 16) to base 3. 1022 Convert 9 (base 11) to base 13. 9 What is -4 (base 13) in base 4? -10 What is 45 (base 16) in base 14? 4d Convert -10211 (base 3) to base 16. -67 What is -c3 (base 13) in base 9? -186 Convert -316 (base 9) to base 12. -196 Convert 48 (base 13) to base 2. 111100 Convert -13 (base 11) to base 13. -11 -333 (base 6) to base 15 -89 143 (base 6) to base 3 2100 Convert 1 (base 12) to base 10. 1 Convert 1 (base 2) to base 13. 1 What is -100 (base 4) in base 2? -10000 6 (base 14) to base 5 11 What is -19 (base 12) in base 6? -33 Convert 8 (base 15) to base 14. 8 What is 1 (base 14) in base 8? 1 34 (base 16) to base 6 124 What is 1 (base 14) in base 2? 1 Convert 142 (base 6) to base 5. 222 What is -2 (base 15) in base 3? -2 Convert -2 (base 15) to base 8. -2 Convert 376 (base 8) to base 14. 142 What is -23 (base 10) in base 3? -212 -91 (base 14) to base 11 -106 What is -2 (base 15) in base 11? -2 What is 101 (base 3) in base 2? 1010 What is -18 (base 12) in base 6? -32 Convert 3 (base 11) to base 7. 3 What is -5 (base 11) in base 14? -5 Convert 212 (base 7) to base 2. 1101011 What is -13 (base 4) in base 9? -7 -211 (base 3) to base 10 -22 3 (base 13) to base 11 3 -4 (base 16) to base 6 -4 Convert 121 (base 4) to base 3. 221 6 (base 7) to base 12 6 -1 (base 6) to base 3 -1 What is 1 (base 13) in base 7? 1 0 (base 11) to base 14 0 Convert 53 (base 10) to base 4. 311 What is 231 (base 5) in base 11? 60 Convert 16 (base 16) to base 7. 31 -2 (base 3) to base 12 -2 Convert 3 (base 15) to base 4. 3 302 (base 6) to base 15 75 Convert 20 (base 5) to base 4. 22 Convert -10 (base 12) to base 3. -110 What is -40 (base 12) in base 10? -48 Convert 11 (base 2) to base 13. 3 3 (base 9) to base 2 11 What is 121 (base 3) in base 15? 11 Convert 304 (base 9) to base 13. 160 Convert 6 (base 14) to base 2. 110 Convert 0 (base 15) to base 2. 0 22101 (base 3) to base 6 1014 What is -89 (base 12) in base 7? -210 Convert 2 (base 11) to base 2. 10 Convert -145 (base 6) to base 13. -50 100 (base 2) to base 16 4 What is 85 (base 14) in base 5? 432 What is -57 (base 14) in base 10? -77 Convert -2 (base 13) to base 5. -2 -120 (base 3) to base 13 -12 Convert -180 (base 12) to base 2. -11110000 Convert -3 (base 9) to base 13. -3 What is 1003 (base 4) in base 6? 151 -10 (base 10) to base 8 -12 Convert -11001 (base 2) to base 5. -100 What is 1001 (base 2) in base 14? 9 What is -88 (base 15) in base 3? -11202 53 (base 10) to base 11 49 220 (base 3) to base 9 26 Convert 6 (base 8) to base 10. 6 Convert 112 (base 3) to base 14. 10 -1111 (base 3) to base 16 -28 Convert 105 (base 9) to base 13. 68 Convert -17 (base 9) to base 6. -24 What is -21 (base 4) in base 13? -9 What is -b1 (base 16) in base 14? -c9 Convert 20 (base 4) to base 10. 8 What is 246 (base 8) in base 15? b1 Convert -4 (base 15) to base 7. -4 -162 (base 15) to base 4 -10331 Convert 101 (base 7) to base 9. 55 Convert 264 (base 7) to base 11. 121 What is 44 (base 16) in base 6? 152 What is 1 (base 14) in base 15? 1 Convert -10020 (base 3) to base 8. -127 What is 44 (base 5) in base 2? 11000 Convert 0 (base 9) to base 14. 0 Convert -10 (base 8) to base 10. -8 Convert 1 (base 16) to base 15. 1 7 (base 8) to base 9 7 Convert -96 (base 10) to base 2. -1100000 215 (base 10) to base 15 e5 What is 111201 (base 3) in base 16? 172 Convert -22 (base 7) to base 5. -31 61 (base 8) to base 9 54 What is -1b (base 12) in base 15? -18 1000 (base 2) to base 10 8 Convert 0 (base 12) to base 6. 0 54 (base 14) to base 4 1022 What is 7 (base 15) in base 13? 7 Convert -142 (base 11) to base 12. -11b Convert -1 (base 9) to base 4. -1 Convert -1001011 (base 2) to base 3. -2210 What is c6 (base 14) in base 5? 1144 What is 2 (base 14) in base 4? 2 Convert -4 (base 13) to base 3. -11 Convert 2 (base 10) to base 3. 2 4 (base 10) to base 13 4 -10010010 (base 2) to base 14 -a6 -3 (base 15) to base 2 -11 -11 (base 9) to base 15 -a What is 64 (base 10) in base 4? 1000 -5 (base 12) to base 9 -5 11 (base 9) to base 15 a Convert -1045 (base 6) to base 4. -3311 -1505 (base 6) to base 8 -621 -80 (base 12) to base 15 -66 Convert 5 (base 9) to base 2. 101 Convert -8 (base 15) to base 9. -8 4 (base 16) to base 7 4 10111010 (base 2) to base 5 1221 Convert -10 (base 5) to base 12. -5 Convert 10 (base 6) to base 16. 6 What is 4 (base 6) in base 4? 10 What is -29 (base 10) in base 7? -41 What is 11011 (base 2) in base 5? 102 What is -431 (base 6) in base 15? -ad Convert 0 (base 11) to base 14. 0 What is -4 (base 13) in base 8? -4 Convert 14 (base 10) to base 8. 16 What is -1 (base 10) in base 11? -1 What is 18 (base 10) in base 14? 14 Convert -1200 (base 4) to base 6. -240 What is 1 (base 3) in base 12? 1 Convert -9 (base 16) to base 14. -9 254 (base 11) to base 13 1a2 What is 0 (base 16) in base 8? 0 Convert 26 (base 13) to base 5. 112 What is -3 (base 11) in base 8? -3 What is -11 (base 3) in base 16? -4 What is -32 (base 5) in base 8? -21 Convert -21202 (base 3) to base 10. -209 What is -240 (base 12) in base 3? -110110 -15 (base 13) to base 12 -16 0 (base 14) to base 6 0 Convert 10 (base 2) to base 7. 2 -101110 (base 2) to base 3 -1201 -1001 (base 2) to base 7 -12 -2 (base 10) to base 9 -2 -d (base 16) to base 12 -11 -2 (base 16) to base 13 -2 2 (base 16) to base 9 2 Convert -2 (base 8) to base 11. -2 What is 8 (base 10) in base 15? 8 2 (base 6) to base 5 2 Convert -ac (base 13) to base 15. -97 What is 7 (base 15) in base 6? 11 -1 (base 5) to base 8 -1 -12012 (base 3) to base 14 -a0 Convert -14 (base 16) to base 4. -110 Convert -162 (base 10) to base 4. -2202 What is 5 (base 11) in base 2? 101 -2 (base 4) to base 14 -2 What is 1113 (base 4) in base 10? 87 Convert -22 (base 15) to base 8. -40 What is -20 (base 3) in base 4? -12 -14 (base 12) to base 13 -13 10 (base 4) to base 11 4 What is 66 (base 13) in base 11? 77 Convert 12 (base 12) to base 8. 16 Convert 212 (base 5) to base 8. 71 3 (base 13) to base 7 3 What is -11 (base 2) in base 4? -3 What is 2 (base 6) in base 8? 2 Convert 11 (base 2) to base 5. 3 -5 (base 13) to base 6 -5 Conver
{ "pile_set_name": "DM Mathematics" }
+ 15*x - 13. Is 8 a factor of k(11)? False Let y(j) = 6 - j**2 - 5*j**3 + 27 + 6*j**3. Does 11 divide y(0)? True Suppose 29 = 4*b - 95. Is b a multiple of 7? False Suppose 16 = -4*o, -5*o + o - 26 = -5*z. Suppose z*t - 3*t = -4. Is t even? True Let i(w) = -46*w - 22. Is i(-4) a multiple of 11? False Let f(m) = -2*m + 8. Is f(-2) a multiple of 3? True Let t(h) = h**2 + 5*h + 9. Is t(-8) a multiple of 16? False Suppose 46 = 3*q - 68. Let i = 52 + q. Is i a multiple of 30? True Let k = -79 + 139. Let c = k + -22. Does 19 divide c? True Suppose -4*w - s + 353 = 0, -9*w = -7*w - 4*s - 172. Does 11 divide w? True Suppose -2*g + 5 = -3*g, -3*s - 3*g = 0. Suppose s*d = 71 + 44. Is 5 a factor of d? False Let o(d) = 3*d**3 + d**2 + d + 33. Let a(b) = -b**3 + 1. Suppose 10*y - 9 = 5*y + c, 5*c + 17 = -3*y. Let q(s) = y*o(s) + 4*a(s). Does 15 divide q(0)? False Suppose -4*o + 0*o + 192 = 0. Is o a multiple of 24? True Suppose -4*z - c + 43 = -3*z, -4*c = 12. Suppose -d - 5*i = 11, 3*i - 5*i = 4*d - z. Suppose 4*p - w - 58 = 0, -3*w - d = -4*p + 48. Is 7 a factor of p? True Is 10 a factor of (-10)/((-5)/(-2) + -3)? True Let d = -8 - -35. Is d a multiple of 8? False Suppose 41 = 5*i - 2*n, -5*n = -2*i - 0*i + 29. Does 6 divide i? False Suppose o = -1 + 6. Suppose o*u - 16 = 3*u. Suppose -6 = -2*i, -u*z + i + 49 = -4*z. Does 9 divide z? False Suppose -182 = -3*y - 2*t, 4*y - 133 - 95 = t. Is y a multiple of 26? False Let i(x) = 4*x - 4. Suppose -8 + 1 = -2*z - v, -6 = 2*v. Does 13 divide i(z)? False Let a = 73 + -51. Let v = 64 + -25. Let z = v - a. Does 8 divide z? False Suppose -4 = -4*a - 0. Let c = a - 21. Let s = c + 52. Does 21 divide s? False Let p be (-9)/(-4) - (-4)/(-16). Let h be (-4)/p + 0 + 6. Suppose t = -h*t + 75. Is 6 a factor of t? False Suppose -5*j = -4*j - 51. Let i(q) = -q**3 + 2*q**2 + 4*q + 1. Let z be i(3). Suppose -5*c = -3*m + j, 2*m + 6*c - 18 = z*c. Is m a multiple of 12? True Let r = 23 - 15. Let h = r - -19. Is 9 a factor of h? True Suppose -6 + 15 = 3*l. Suppose 5*c = -4*f + 72, -4*c = -0*c - l*f - 70. Is c a multiple of 8? True Is ((-1290)/40)/(2/(-16)) a multiple of 13? False Let m = -1 - -23. Let f = m + -11. Is f a multiple of 11? True Suppose 2*o - 88 = -5*a, -2*o + 7*o + 2*a = 220. Is o a multiple of 44? True Suppose -2*r + 6*r = 44. Let l = r + -7. Is l a multiple of 4? True Let h(i) = i**3 - 8*i**2 - 12*i - 11. Let o be h(9). Let w = 78 + o. Does 10 divide w? True Let y = 103 - 65. Is 3 a factor of y? False Is (-20)/(-50) - (-103)/5 even? False Let c be (-70)/15 - (-2)/3. Let l = c - -8. Suppose a - l = -0*a. Is a a multiple of 3? False Let v be 1/(-2)*10*-1. Let j(a) = -a**3 + 11*a**2 + 3*a + 2. Let f be j(8). Does 19 divide f/v - (-15)/(-25)? False Suppose -y = -4 - 10. Suppose 2*s + 2 = y. Is 5 a factor of s? False Suppose 142 = 3*r - b, 7*b + 90 = 2*r + 4*b. Suppose -k - r = -4*k. Is k a multiple of 16? True Let n(w) = -w**2 + 16*w - 11. Is 13 a factor of n(11)? False Suppose -3*t - 81 = -0*t. Let x = 50 + t. Is 9 a factor of x? False Let i(u) = -u**3 - 10*u**2 + 11*u + 3. Let j be i(-11). Does 5 divide j/2 - (-31)/2? False Let k = -5 - -8. Is k a multiple of 2? False Suppose 8 = 3*w - 1. Let z = w + 6. Is z a multiple of 5? False Let h(a) be the second derivative of a**5/20 - 5*a**3/6 + 2*a**2 + 2*a. Suppose -28 - 6 = -3*x + 5*p, 5*x + 5 = -4*p. Does 8 divide h(x)? True Let h = 33 + 37. Is 18 a factor of h? False Suppose g - 8 = -g. Let o(p) = 5 - g*p**2 + 10*p + 3*p**2 + 3. Is 12 a factor of o(8)? True Suppose i - 3*d - 24 = 0, 3*i - 46 = -2*d + 37. Let l = -11 + i. Is 10 a factor of l? False Let r(a) = 7*a**2 - 1 + a + 2*a + 2. Let b be r(-2). Suppose -d + z + b = -3*z, 5*d - 3*z = 115. Is 18 a factor of d? False Let y be 1*27*2/6. Suppose 5*t - 34 + y = 0. Does 4 divide t? False Let t be (2/(-5))/(5/50). Let y = t + 6. Suppose 0 = -y*v - 3*h + 65, 3*v = -2*h - 5 + 95. Is 14 a factor of v? True Let z be (-30 - 1)/(-1)*1. Suppose z = 3*g + 7. Is 6 a factor of g? False Suppose 4*x - 33 = q - 6*q, 15 = 5*q - 5*x. Let o = -16 - -62. Suppose -2*z - 4*y + 0*y + o = 0, 2*z - q*y - 19 = 0. Is z a multiple of 15? False Suppose 4 = -n + 6. Suppose 2*f - 4 = n. Suppose -4*c + 2*r = 3*r - 67, c = f*r + 33. Does 9 divide c? True Let l(o) = 6 + 0 + 2 - o. Let p be l(5). Let z = 28 - p. Is 17 a factor of z? False Let i = 52 - -2. Is 8 a factor of i? False Suppose 0 = y - 4 - 0. Suppose 4*p - 6*p = -5*x, 2*x + 5*p - 29 = 0. Suppose y*c = x*c + 20. Is 5 a factor of c? True Does 3 divide -6 - (-76)/13 - (-184)/13? False Does 20 divide ((-712)/(-10))/((3/(-5))/(-3))? False Suppose -2*v - 8 = 3*q - 4*q, 0 = 4*v + 12. Let c(l) = 13*l - 2. Let i be c(8). Suppose -t = q*t - i. Is t a multiple of 12? False Suppose 5*r = 3*b + 27, -b - 10 + 3 = -r. Is (4/(-10))/(r/(-225)) a multiple of 15? True Let u = -8 - -7. Let o(p) = p**3 + p**2 + p + 1. Let b be o(u). Suppose 0 = 3*z + 3*i - 6*i - 150, b = -5*z + i + 258. Does 26 divide z? True Suppose -x + 2 + 4 = 0. Suppose 0 = -0*o + 2*o - x. Is o a multiple of 3? True Suppose i + 11 = -16. Let a be (-4)/(-6) - (-133)/3. Let b = a + i. Is b a multiple of 9? True Let d(r) = 7*r - 1. Let h be d(1). Does 10 divide (2/(-5))/(h/(-600))? True Let q = 4 + 0. Suppose -3*m - 6*z = -z - 27, 36 = q*m + 3*z. Is m - 9/6*-2 a multiple of 6? True Let g(a) = 3*a**2 + 11*a + 13. Is g(-8) a multiple of 30? False Let l = -4 - -3. Let g(i) = -2*i + 3*i - 3*i**2 + 4*i**2 + 1 - 13*i**3. Is 14 a factor of g(l)? True Suppose 5*a = 9*a + 220. Suppose -5*o - 2*t = 175, 140 = -7*o + 3*o - 4*t. Let x = o - a. Does 10 divide x? True Let s(y) = 5*y - 34. Does 3 divide s(10)? False Let f be 0/(-1 + -2 - -2). Suppose -5*r + 2*d - 89 + 337 = f, 0 = -4*r + 5*d + 212. Does 12 divide r? True Is ((-258)/(-18) + 0)/((-2)/(-6)) a multiple of 5? False Suppose -5*q + 2 = 2*t - 33, -3*t = 2*q - 25. Suppose 20 = 3*w + 5*h, 3*h - 11 = q*w - 33. Suppose 4 = -k + w*x, -k + 0*k + 26 = 5*x. Is k a multiple of 11? True Let d(a) = 5*a**2. Let g be d(1). Suppose p + 5*w = 92, -g*p + 3*w + 2*w + 310 = 0. Is 20 a factor of p? False Does 9 divide (90/9)/(1/(81/6))? True Let c(i) = -8*i**3 - i**2 + i + 1. Let j be c(-1). Suppose 5*b + 2 = j, 0 = 5*o - 4*b - 176. Is o a multiple of 18? True Let d(i) = -i**3 - i**2 - i + 94. Is d(0) a multiple of 12? False Let z(q) = 8*q**2 + 3*q - 1. Let n(p) = p**2 + p. Let b(m) = -6*n(m) + z(m). Let i be b(-2). Suppose i = w - 17. Is w a multiple of 15? True Let z = -11 - -12. Does 11 divide (27*z)/(1/2)? False Let x be 2/5 - (-43)/5. Suppose -55 = c - x. Let p = c + 70. Does 9 divide p? False Let g(r) = -r**2 + 11*r + 11. Let x be g(11). Suppose -3 = d - x. Is 4 a factor of d? True Let b(t) = 5*t - 4*t - 5 - 4*t - 2*t. Does 6 divide b(-4)? False Let x(m) = -m**3 - 15*m**2 - 2*m - 18. Let p be x(-14). Does 5 divide p/(-30) + 1/(-5)? False Let l be 0 + 9 + 2 + -4. Let u be (-4)/(-14) + 12/l. Does 12 divide (-2)/(-4)*u + 23? True Let f = -56 + 108. Let q = f - 10. Is 17 a factor of q? False Let s = -3 + 9. Suppose 3*b + 3 = s*g - 2*g, 4*g = 4*b + 4. Is 15 a factor of 1/(-1) + b + 17? True Let i(o) = o**3 + 7*o**2 - 10*o - 4. Is 8 a factor of i(-8)? False Suppose -4*l + 370 = -2*l. Is l a multiple of 27? False Let h(n) be the third derivative of n**6/180 - n**5/120 - n**4/24 + n**3/3 + n**2. Let j(g) be the first derivative of h(g). Is 14 a factor of j(3)? True Let m = 251 + -100. Is 10 a factor of m? False Let d be (-30)/(-4)*(-4)/(-6). Suppose 3*s + 5 = -l + 7*s, -5*l = d*s - 25. Suppose -2*h - 3 + 6 = l*n, 3*h = -n + 22. Does 4 divide h? False Let w be (2 - 4)/((-8)/12). Let u = w - 5. Does 10 divide (u + 5)*(-20)/(-6)? True Let i(h) = h**2 - 12*h + 10. Let y be i(11). Suppose 54 = 5*s + f, 0 = -0*s + 2*s - 2*f - 12. Let c = s - y. Is c a multiple of 6? False Let g(r) = -39*r + 12. Is 23 a factor of g(-2)? False Let d = -1 - -4. Suppose -4*c - 2 = -d*c. Is (c/2)/((-1)/15) a multiple of 6? False Suppose -3*y + 739 + 971 = 0. Suppose -y = -4*l - 70. Suppose -l = -5*u - 0*u. Does 12 divide u? False Let q = 9 + 39. Is 16 a factor of q? True Suppose h = -4*j - 4*h + 129, h - 69 = -2*j. Suppose 0*w + w - j = 0. Is w a multiple of 12? True Suppose -u - 13 = -2*a - 6*u, 2*u + 10 = 3*a. Suppose -w + 6*v - 3*v + 38 = 0
{ "pile_set_name": "DM Mathematics" }
t -2/11, r, l in increasing order. l, -2/11, r Let u = -158.05 - -158. Put -2/3, u, 5, 3 in decreasing order. 5, 3, u, -2/3 Suppose 7*d + 58 = 9. Sort d, 4, 11, 3 in descending order. 11, 4, 3, d Let k(t) = -17*t - 9 - 36 - 41*t**2 + 40*t**2. Let c be k(-14). Put -5, -19, c in descending order. c, -5, -19 Let i = -8 - -12. Let u(c) = -c - 5. Let b be u(-10). Put i, 0, b in descending order. b, i, 0 Let o(y) = -8*y + 4. Let l(u) = -2*u + 1. Let x(p) = 9*l(p) - 2*o(p). Let q be x(-1). Suppose q*g = 6*g. Sort -3, 1, g in increasing order. -3, g, 1 Suppose -2 + 7 = p. Let i(b) = b**2 - 4*b. Let l be i(p). Let f be (-9)/3 - (-2 + 1). Sort 2, l, f. f, 2, l Suppose 14*w - 7*w - 7 = 0. Put 4, w, 2, -5 in descending order. 4, 2, w, -5 Suppose -40*a + 33*a + 1330 = 0. Put 5, -0.3, a in decreasing order. a, 5, -0.3 Suppose 57 = -4*z + 29. Put z, 17, 1 in descending order. 17, 1, z Let c be 1/(119/581) + 4/34. Put -0.1, 4/15, c in ascending order. -0.1, 4/15, c Suppose 0 = 47*z - 42*z - 30. Suppose z = -11*t + 5*t. Put 3, 1, t, -2 in ascending order. -2, t, 1, 3 Suppose -10*h - 4 = 4*d - 11*h, -5 = 5*d + 3*h. Sort d, 6, 11 in descending order. 11, 6, d Let n = -2647 - -2644. Put n, 6, -19, 0 in ascending order. -19, n, 0, 6 Let d be ((-20)/(-15))/(4/3). Sort -5, d, 3, 2 in descending order. 3, 2, d, -5 Let l be (-4)/2 + -53*(-4 + 3). Suppose -2*g + 7 = u - 8, 2*g = -5*u + l. Put u, 2, 3 in descending order. u, 3, 2 Let j(y) = -13*y + 166. Let z be j(13). Let w be (-3)/(-6)*-5*2. Sort -1, w, z, 0 in increasing order. w, z, -1, 0 Let q be (-6)/10 - 1443/(-555). Sort 2/11, q, -1, -0.04 in decreasing order. q, 2/11, -0.04, -1 Let n = -6.5 - -53.5. Let w = 28 - n. Let t = w + 18. Put 1/5, t, 3 in increasing order. t, 1/5, 3 Suppose 2*m = k - 2, 14 = -61*m + 57*m - 3*k. Put 305, -3, m in ascending order. -3, m, 305 Suppose 0 = 2*o - 7*o + 20. Suppose o*c - 30 = 9*c. Let v be 64/12 + 2/c. Put -3, -20, v in decreasing order. v, -3, -20 Let x = 8 + 1. Suppose k + 5 = -2*j - 1, 3*k = -3*j - x. Sort k, -5, 29 in decreasing order. 29, k, -5 Let j = 176 + -95. Let h = -245/3 + j. Let w be 10/8 + 4/(-16). Sort w, 0.1, h in descending order. w, 0.1, h Suppose 2*o - 34 - 10 = 0. Let f = o + -45/2. Let v = -1.096 - -1.396. Sort f, 0.04, v. f, 0.04, v Suppose -16 = -3*z - u, -27 = 3*z - 8*z - 2*u. Sort -2, z, -12 in increasing order. -12, -2, z Let w be ((-2)/(-125))/((-18)/(-90)). Put w, 3, 0.4, 0.12 in decreasing order. 3, 0.4, 0.12, w Let z = 6.46 - 6.56. Put -5, -138/5, z in increasing order. -138/5, -5, z Suppose 8 = -3*d + 4*q - 0, -5*d - 15 = -5*q. Suppose -61 = -47*b + 174. Put d, b, 4 in ascending order. d, 4, b Let l(z) = 6*z**2 + 3*z + 2. Let y be l(-1). Sort 3, -2, -5, y. -5, -2, 3, y Let t = -3 + 2. Let h = 5185.9 - 5186. Put h, -2, -3, t in descending order. h, t, -2, -3 Suppose 4*b - 36 = 28. Let w be (b/(-168))/((-6)/(-9)). Sort w, -13, 0.4 in ascending order. -13, w, 0.4 Let d = -141 - -141. Let r(p) = p**2 + 4*p - 2. Let m be r(-4). Put 2, m, d, 3 in increasing order. m, d, 2, 3 Suppose 0 = -2*j - 11*j. Suppose -4 = u - i, j*u - u + 5*i + 4 = 0. Sort u, -2, 4 in decreasing order. 4, -2, u Suppose 3*t + 1 = -2*q - 3, 3*q = 3*t - 6. Put 3, q, 5, -0.069 in decreasing order. 5, 3, -0.069, q Let p be -2*(5/10 - 2). Put 5, -2, p in ascending order. -2, p, 5 Let q be 2/(-6)*(-9)/(-2). Let a = -5.0238 - -0.0238. Sort 1/4, q, a in increasing order. a, q, 1/4 Let n(y) = -16*y**3 + y**2 + y. Let l be n(-1). Let o be -1 + 0 + (16 - l). Sort 5, o, -2. -2, o, 5 Let t(y) = -2*y**2 - 7*y - 7. Let p be t(-2). Put -0.4, -9, p, -2 in ascending order. -9, -2, p, -0.4 Let z = -4.93 - -2.63. Put -0.01, z, 2/13 in decreasing order. 2/13, -0.01, z Let s = 0.518 + -1.018. Put s, 8, -0.2, -0.3 in descending order. 8, -0.2, -0.3, s Suppose 3*b - 2*b + 17 = 0. Let n = 5949 + -5952. Put b, n, -0.5 in increasing order. b, n, -0.5 Let w be 2/(-11) + ((-736)/22)/(-8). Suppose -2*j - 1 - 7 = 0. Let k be -1 - (-1 + 0) - 3. Put j, w, k in descending order. w, k, j Let s = -789 - -788. Let z = 1.8 - 2.4. Put -0.5, s, z in descending order. -0.5, z, s Let g = 0 + 8. Let x be 60/14 + g/(-28). Let c(d) = d**3 - 4*d**2 + 3*d - 4. Let h be c(3). Put h, 0, x in descending order. x, 0, h Let n be 0 + (1 - 2 - -1). Suppose f + 0*q - 3*q - 75 = n, 3*f + 4*q = 186. Let g be f/(-24) + 2/(-8). Sort g, -1, 5 in increasing order. g, -1, 5 Let z(o) = -o**3 + 6*o**2 - o + 5. Suppose 0 = -0*d - 3*d - 2*c + 18, 24 = 4*d - 5*c. Let f be z(d). Sort -5, 2, f, -2 in increasing order. -5, -2, f, 2 Let g = 68 + -62. Suppose -h + g*h = 20. Let k be -2 - (-1*2 - -1). Sort h, k, -0.5. k, -0.5, h Let n be (4/2)/2 + 6. Let p(t) = -3 - 2*t - 6*t + 2*t + t**3 - 5*t**2 - 2*t**3. Let x be p(-4). Sort 2, x, n in decreasing order. n, x, 2 Suppose -3*y + 5*q = 3*q - 2, 5*y - 2*q - 6 = 0. Let n(m) = 2*m**3 + m**2 - 2*m - 1. Let f be n(y). Let g = 14 - f. Sort 2, -2, g in descending order. 2, g, -2 Let m = 0.33 - 0.13. Let z = -7 + 4. Let r = 36 + -31. Sort z, m, r in descending order. r, m, z Let p be (-156)/65*10*1. Let d be 2/p + 3/4. Let t = -0.6 - -0.7. Put t, d, 4/9 in descending order. d, 4/9, t Let f = 260 + -263. Put -16, f, -0.1, -1/2 in ascending order. -16, f, -1/2, -0.1 Let h(b) = 80*b + 331. Let k be h(-5). Sort 2, k, 4 in descending order. 4, 2, k Let o = -0.0021 - -26.3021. Let x = 26.28 + -0.28. Let s = o - x. Sort s, 0.2, 2 in descending order. 2, s, 0.2 Suppose 10*d - 7*d - 12 = 0. Let n be 4/(-6) + d/(-12). Suppose 7*i = 10*i - 12. Sort -3, i, n in descending order. i, n, -3 Let m be 1/(-9)*1/(6/18). Sort -37, 1, 4, m in descending order. 4, 1, m, -37 Let t be 4/30*(-6)/(-8). Let f = 1.6 + -1.1. Sort t, f, -0.03 in decreasing order. f, t, -0.03 Suppose 56 + 39 = 19*z. Let a = 11 - 10. Sort a, z, 0 in descending order. z, a, 0 Let c = -14.5 + 15. Put 5, -25, c, 0 in decreasing order. 5, c, 0, -25 Let c be -1 - (1 + 2) - -9. Suppose -252 = -c*m - m. Suppose -40*g = -m*g. Sort -15, -5, g in decreasing order. g, -5, -15 Let a be -3 + 4 - (-6)/(-4). Suppose -4*y - 4*j - 4 = 0, 0 = 2*y - 4*j + 45 - 19. Sort -3, y, a, 0.2 in descending order. 0.2, a, -3, y Let v = -4 - -8. Let j = 3.9 - v. Let g = 299 + -298.7. Put 0.2, g, j in ascending order. j, 0.2, g Let f = -92 + 55. Let x(q) = -q**2 + 4*q - 2. Let j be x(8). Let r = j - f. Sort -3, r, 4 in decreasing order. 4, r, -3 Let r be ((-1)/(-3))/(6/(-4)). Let f = -12 - -11.23. Let c = f - -0.37. Sort c, r, -2. -2, c, r Let c = 196 - 191. Put c, -18, -4 in decreasing order. c, -4, -18 Suppose -63 = 9*q + 234. Let v be (-135)/(-10)*(-2)/q - 1. Sort -4, v, 0.5 in ascending order. -4, v, 0.5 Suppose -4*w - 2*p = -10, w - 29*p = -33*p - 8. Put 0.4, -0.2, -6, w in ascending order. -6, -0.2, 0.4, w Let o = 3889 - 3890. Let q(p) = p**2 + 7*p + 3. Let g be q(-6). Let n = g - -5. Sort o, n, 4 in decreasing order. 4, n, o Let l = -1 - -11. Let u be (-3)/(-1) + -15 + 1. Let n = l + u. Sort n, 4, -2. -2, n, 4 Let o be (-2)/7 - 228/(-14). Suppose -4*d = 3*t - o, -5*d + 0*d + 13 = 2*t. Let k = 33 + -43. Sort 3/7, d, k. k, 3/7, d Let v = 265 - 1055/4. Let j = -2.954 + 2.9. Let q = -3.054 - j. Sort v, -4/3, q in increasing order. q, -4/3, v Let z = 128.3 - 128.8. Put z, -0.01, -3, 2/5 in ascending order. -3, z, -0.01, 2/5 Let i(k) = -k**3 + 15*k**2 - 14*k. Let o be i(14). Suppose 5*d + 4*b = -4, 4*d + 5*b - 1 = -6. Suppose d = 2*a - a - 3. Put 4, o, a in descending order. 4, a, o Let i = -280 + 57. Sort i, -4, 2, -2 in descending order. 2, -2, -4, i Let r = -0.071 - 4.929. Let f = -60 + 59.7. Put r, -0.21, f in decreasing order. -0.21, f, r Let j = 6.17 + -1.17. Put j, 0.5, -2/3, -0.7 in descending order. j, 0.5, -2/3, -0.7 Let p be (1 - -2) + (-26)/8. Put p, -48, 0.3 in decreasing order. 0.3, p, -48 Let f(l) = l**2 + 6*l - 2. Let s(w) = 7*w + 7. Let h(d) = d + 1. Let r(n) = -6*h(n) + s(n). Let q(a) = -f(a) - 2*r(a). Let p be q(-8). Sort p, 4, 2. p, 2, 4 Let x be (-9 + 7)*-3*2/3. Sort 0, x, 2, -151 in descending order. x, 2, 0, -151 Let k(n) = 7*n**3 - n**2 + 44*n + 44. Let o be k(-1). Put -2/9, o, -4/5 in descending order. -2/9, -4/5, o Let v = -51 + 61. Suppose 2*d - 7*u = -3*u + v, -u = -5*d - 2. Sort -0.4, -0.8, d. d, -0.8, -0.4 Let g = 184 - 172. Sort -5, -4, g, -1/8 in incr
{ "pile_set_name": "DM Mathematics" }
.3 in decreasing order. 75.3, 92/11, 3 Sort -2, 12, -1, 1660, 4 in decreasing order. 1660, 12, 4, -1, -2 Put -3, 88, 147, 3 in ascending order. -3, 3, 88, 147 Put -0.5, 0.1066, 74, 0.3 in ascending order. -0.5, 0.1066, 0.3, 74 Sort -0.5, 8626, 3, -4, 8 in increasing order. -4, -0.5, 3, 8, 8626 Sort 170, 2, 3, 21, -9 in descending order. 170, 21, 3, 2, -9 Sort 1, 1131, -2, -5, 5, 2 in ascending order. -5, -2, 1, 2, 5, 1131 Sort 1/3, -0.1, -9, -4.9, 4, -0.4 in increasing order. -9, -4.9, -0.4, -0.1, 1/3, 4 Put -1, -2, 1352, -4 in decreasing order. 1352, -1, -2, -4 Sort 0, 5, 3, -2, -759 in increasing order. -759, -2, 0, 3, 5 Put -1, 0, -3, 4, -8 in decreasing order. 4, 0, -1, -3, -8 Sort -5, 1, 5, 6, -20. -20, -5, 1, 5, 6 Put -5/4, -1/6, 3/5, 37, 28 in decreasing order. 37, 28, 3/5, -1/6, -5/4 Sort 702, -1, -7, 1 in descending order. 702, 1, -1, -7 Sort -8, 5, 4, 11 in increasing order. -8, 4, 5, 11 Sort 2, 3, 1, -9, -16 in decreasing order. 3, 2, 1, -9, -16 Sort -0.076, -0.4, 0, -5/4, 16 in increasing order. -5/4, -0.4, -0.076, 0, 16 Sort -22, 3, 8, 6 in descending order. 8, 6, 3, -22 Sort -1, 108, 2/9, 6. -1, 2/9, 6, 108 Sort 3, 0, 144, -4, 8. -4, 0, 3, 8, 144 Sort 16, 7, 59, -4, 4, 1 in descending order. 59, 16, 7, 4, 1, -4 Sort -5/36, 6, 1/8, 3, -0.5 in descending order. 6, 3, 1/8, -5/36, -0.5 Put -0.4, -3194, 3/2, -5, -1/8 in descending order. 3/2, -1/8, -0.4, -5, -3194 Sort 114, 45.2, -11 in descending order. 114, 45.2, -11 Sort 1/3, -3, -0.1303, -0.4 in descending order. 1/3, -0.1303, -0.4, -3 Sort 2, 1153, -1/5, -4, -2/3 in increasing order. -4, -2/3, -1/5, 2, 1153 Put 0, 2, -77258 in decreasing order. 2, 0, -77258 Put -19, -0.5, -30, 4, -3 in descending order. 4, -0.5, -3, -19, -30 Put -833.5, -4/3, 0.7 in ascending order. -833.5, -4/3, 0.7 Put 2, 0, -20, -131 in ascending order. -131, -20, 0, 2 Put 4/3, -5/2, -20, -3 in increasing order. -20, -3, -5/2, 4/3 Put 3, -0.1, -2/17, 2, -0.02, -1/5 in increasing order. -1/5, -2/17, -0.1, -0.02, 2, 3 Sort -5, -2/11, 0.5, -1/4, -9 in descending order. 0.5, -2/11, -1/4, -5, -9 Put -2, -7, 4, -11, 10 in decreasing order. 10, 4, -2, -7, -11 Sort 11, 0.4, 23, -0.07 in increasing order. -0.07, 0.4, 11, 23 Sort -288, 3/4, 6/7, -0.2, -1 in descending order. 6/7, 3/4, -0.2, -1, -288 Put 572, 18, 3, 0, 2, 4 in descending order. 572, 18, 4, 3, 2, 0 Put 3, 0, -2, 0.3, 278, -42 in descending order. 278, 3, 0.3, 0, -2, -42 Put 5, 8, -3, -5434 in descending order. 8, 5, -3, -5434 Sort 18, 5, -41 in decreasing order. 18, 5, -41 Put -4, -955, -30 in descending order. -4, -30, -955 Put 17, -6, 5, -53 in ascending order. -53, -6, 5, 17 Sort 0.8, 0.9, 0.5, -28.3. -28.3, 0.5, 0.8, 0.9 Put 26, 4, -3, -5, -1745 in ascending order. -1745, -5, -3, 4, 26 Sort 3, 4/11, -4, -1/6, 5 in increasing order. -4, -1/6, 4/11, 3, 5 Sort 5159, -4, 3, -92 in decreasing order. 5159, 3, -4, -92 Put 4, 17/11, -2, 1 in ascending order. -2, 1, 17/11, 4 Sort -0.5, -2/3, -0.17557, 0.4 in descending order. 0.4, -0.17557, -0.5, -2/3 Sort 4, -16, 35, -1, -5 in descending order. 35, 4, -1, -5, -16 Sort 1321, -0.3, -1/3, -0.4 in ascending order. -0.4, -1/3, -0.3, 1321 Put -11, 3, 2793 in descending order. 2793, 3, -11 Put -14, -1, -4, 114, -3, 5 in decreasing order. 114, 5, -1, -3, -4, -14 Sort 23, -22, 16, -5 in increasing order. -22, -5, 16, 23 Put -16, -1/6, -5, 0.011 in descending order. 0.011, -1/6, -5, -16 Sort 59, 0, -3, 3, -14 in ascending order. -14, -3, 0, 3, 59 Sort 5, 3, 2, 208, -19, 4 in decreasing order. 208, 5, 4, 3, 2, -19 Put 4, 155, -98, 5 in decreasing order. 155, 5, 4, -98 Sort -2, -4/181, 0.02. -2, -4/181, 0.02 Sort -6, 1, 2, 12, 56, 3. -6, 1, 2, 3, 12, 56 Sort 2, -4, 60, 1, 8 in descending order. 60, 8, 2, 1, -4 Sort -157, 364, -3/2, 4 in descending order. 364, 4, -3/2, -157 Sort -4, 1, -13, -5, 836 in descending order. 836, 1, -4, -5, -13 Sort 1, 166, -2, 5, -1. -2, -1, 1, 5, 166 Put 317, -3/2, -29.62 in ascending order. -29.62, -3/2, 317 Sort -2917, -19, 0.1, 0.2 in increasing order. -2917, -19, 0.1, 0.2 Sort 7, 8081, 1/5, -0.2 in decreasing order. 8081, 7, 1/5, -0.2 Put 0, 22, 0.16, -4/5 in decreasing order. 22, 0.16, 0, -4/5 Sort -6, -285, 3, -4 in decreasing order. 3, -4, -6, -285 Sort -0.01226, -3, 1/2, 23. -3, -0.01226, 1/2, 23 Put 635, 2, -251 in increasing order. -251, 2, 635 Put 17.3, 3, 0.4, -24, 2, -0.3 in decreasing order. 17.3, 3, 2, 0.4, -0.3, -24 Sort -1, -40, -2, 237, 1, 2 in increasing order. -40, -2, -1, 1, 2, 237 Sort 1, -5, -6, 0, 57. -6, -5, 0, 1, 57 Sort -3, 0.08, -0.207, -2 in decreasing order. 0.08, -0.207, -2, -3 Sort -29, 5, 10, 6, 1, 4. -29, 1, 4, 5, 6, 10 Put -9, -1, 1, -3, -12, 195 in decreasing order. 195, 1, -1, -3, -9, -12 Sort 0, 0.02, 550/7 in increasing order. 0, 0.02, 550/7 Sort -8, -3, -7 in decreasing order. -3, -7, -8 Put -1, 134, 2/15, -4 in descending order. 134, 2/15, -1, -4 Put -3, -28, 51, 2, 3, 759 in descending order. 759, 51, 3, 2, -3, -28 Put -7/20, -2/35, -1, 0.3 in ascending order. -1, -7/20, -2/35, 0.3 Sort -5, 2, 111, 0, 5 in descending order. 111, 5, 2, 0, -5 Sort 31, 12, -4, -2, -133. -133, -4, -2, 12, 31 Sort 129, -1, -29, 4, 1, -3. -29, -3, -1, 1, 4, 129 Sort 175, -3, -2, 28, 0 in decreasing order. 175, 28, 0, -2, -3 Sort 6, -1, 2733, 16 in decreasing order. 2733, 16, 6, -1 Sort 267, -3, 8, 2 in ascending order. -3, 2, 8, 267 Put -1, 2, -5, -133, 1, 5 in descending order. 5, 2, 1, -1, -5, -133 Put -402, -859, 4, -1, 0 in descending order. 4, 0, -1, -402, -859 Put -4, -5, -35, 4 in increasing order. -35, -5, -4, 4 Sort 401648, 0, -5. -5, 0, 401648 Put 8686, 5, -5 in decreasing order. 8686, 5, -5 Sort 3, 2/5, -122, -0.2, -129 in ascending order. -129, -122, -0.2, 2/5, 3 Sort 23, 3, 8, 2, -5 in descending order. 23, 8, 3, 2, -5 Sort -100, 5, -1, 24 in descending order. 24, 5, -1, -100 Sort -306, 0, -3, -4/7. -306, -3, -4/7, 0 Put -88, -63, 0 in ascending order. -88, -63, 0 Put -70, 837, -5 in descending order. 837, -5, -70 Put -1, 1880, 5, -3/31, -3/4, 0.3 in decreasing order. 1880, 5, 0.3, -3/31, -3/4, -1 Sort -0.3, 0.212, -4/7, -0.01 in decreasing order. 0.212, -0.01, -0.3, -4/7 Sort -1, 0, -236651 in descending order. 0, -1, -236651 Sort -2/371, 37, 1, 0.07. -2/371, 0.07, 1, 37 Sort -3, -31177, 0.5 in decreasing order. 0.5, -3, -31177 Put -0.3, -2/11, 65, -16, 0 in descending order. 65, 0, -2/11, -0.3, -16 Put -0.4, 1, -3/7, -9, 4344 in descending order. 4344, 1, -0.4, -3/7, -9 Put -3/5, 5, 0.4, 29 in descending order. 29, 5, 0.4, -3/5 Sort -3, 5, -2, 6/137, -2/19, -4. -4, -3, -2, -2/19, 6/137, 5 Put -836, 2.4, 0, 1/3 in descending order. 2.4, 1/3, 0, -836 Sort -19, 5, -90 in ascending order. -90, -19, 5 Put 1, 138, 213, 4, 2, -1 in decreasing order. 213, 138, 4, 2, 1, -1 Sort 1, 2, 0, -25. -25, 0, 1, 2 Sort 0.1, -1, -1/5, 56365, -0.1 in descending order. 56365, 0.1, -0.1, -1/5, -1 Put 47, 0, -7, 2 in increasing order. -7, 0, 2, 47 Put 1/6, 10, -0.5, 29, 0.03, 1 in decreasing order. 29, 10, 1, 1/6, 0.03, -0.5 Sort -0.37, -57, -5, 0.2, -8, 4/5 in increasing order. -57, -8, -5, -0.37, 0.2, 4/5 Put 1, 25, -9, -3, 4, 0 in increasing order. -9, -3, 0, 1, 4, 25 Sort 15/4, -0.011, -0.4, -2, 1/2 in ascending order. -2, -0.4, -0.011, 1/2, 15/4 Put 0.169, -3, -5/3, -5 in descending order. 0.169, -5/3, -3, -5 Sort 9, 1, -59200, -5 in decreasing order. 9, 1, -5, -59200 Put 4, 3, 31, -12, -4 in increasing order. -12, -4, 3, 4, 31 Put -5, 5, 0, -8, 11 in increasing order. -8, -5, 0, 5, 11 Sort -32/137, -4/5, 5. -4/5, -32/137, 5 Sort 4, -0.2, -9, -1/8, 4/3 in decreasing order. 4, 4/3, -1/8, -0.2, -9 Sort 4, 2/13, 1/3247 in decreasing order. 4, 2/13, 1/3247 Put 77, -3816, 1 in ascending order. -3816, 1, 77 Sort -2440, -4, -3, 0.1, 6. -2440, -4, -3, 0.1, 6 Put -0.3, -2, -5, -5320, -0.006 in descending order. -0.006, -0.3, -2, -5, -5320 Sort -8, -1, 84, -9, 5, 4 in decreasing order. 84, 5, 4, -1, -8, -9 Sort 1286, -0.4, -2/113 in decreasing order. 1286, -2/113, -0.4 Put -38, 182, 20, -3 in decreasing order. 182, 20, -3, -38 Put -3/7, -2279, -0.7 in ascending order. -2279, -0.7, -3/7 Sort 1/8, -1/15, -1, -0.1 in descending order. 1/8, -1/15, -0.1, -1 Sort 27, 1, 6, 24 in decreasing order. 27, 24, 6, 1 Put 4, 11, 5, -2, 2, 15 in descending order. 15, 11, 5, 4, 2, -2 Put 8, 3, -5, 7
{ "pile_set_name": "DM Mathematics" }
/(-8520) + 6/45)/54. -1/135 What is the value of 42/(-10) - (-401892)/96300? -2/75 Evaluate ((-15470)/(-210) - 63)*-3 + 2 + 1. -29 What is the value of ((-228)/6 - 4)*(-4)/((-56)/(-18))? 54 What is the value of (-236)/(-38) - 11132/52877? 6 Calculate (-444)/7 + 79/((-4424)/88). -65 (-14 - 4 - -18) + 13/(117/675) 75 (-1350)/135 + ((-10)/(-2) - (7 - 9 - 5)) 2 Calculate 2975/238*(-52)/10 + 22. -43 Calculate (9/((-126)/(-1085)))/(0 - 40/(-16)). 31 What is (-26937)/(-657) - 1076/26? -5/13 Calculate -16 + (9 - -15) - (-95546)/(-11954). 1/139 What is (31 - 715/22)/((-36)/(-9) + 93/(-24))? -12 -20*5/60 - (23/(-46) - (-322)/12) -28 Evaluate (120/288)/(600/(-540)) + 275/8. 34 Calculate 36/(-30)*((-100)/(-6))/(286/1859). -130 What is 198/(-726) + 6377/5313 + ((-4)/(-3))/(-2)? 6/23 What is the value of (-18)/21*(10/(-8) + 17)? -27/2 ((-112)/196*1/24)/((-38)/(13832/156)) 1/18 Calculate 14/427 + -10*14910/15372. -29/3 What is the value of (-2 - (-153)/60)*(-4744)/(-1186)? 11/5 What is the value of ((-234)/68094)/(1/6)? -2/97 -12 + -4 + 16 + ((-1680)/460)/14 -6/23 What is 10/25 - (183 - 215)*(-6)/1365*3? -2/91 What is (2232/3348)/(1/78)? 52 Evaluate (0 - (-6)/(-4))*1846686/(-28557). 97 (-31620)/(-1700) + (-74)/(-10) 26 Calculate (-9)/(-2)*((-516)/(-731))/(18/153). 27 What is 85 - 86 - (1 + -1 - -45)? -46 Calculate (22*(-288)/(-54912))/(1/(-2)). -3/13 Calculate ((-3531)/132 - -23)*(-24)/9 + 20. 30 Evaluate 72/1122*340 + (-66)/3 + 2. 20/11 Evaluate -2*(-32 + 35 + 68/(-24)) + (-55)/(-255). -2/17 What is 8 + 6 + 2314/(-89)? -12 Calculate (37/5 + (-12)/30)/(-4) - (-138376)/118608. -7/12 Evaluate ((-25488)/(-768) + -33)/((-12)/40). -5/8 What is (13 + 7)/(645/2064)? 64 What is ((-139)/278 + 23/10)/(4/60)? 27 What is 34040/13616 + (-222)/76? -8/19 Evaluate 56/(-40) - -33*(-1 + 234/225). -2/25 Calculate 242/12*(-1944)/14256. -11/4 What is (-1)/((4/(-532))/(1 + (-104)/91))? -19 What is the value of 16/34 - (-5100)/1445? 4 What is the value of 201/(-15) - (-28 + (-27 - -44))? -12/5 What is the value of 10/4*(10/45 + (-2852)/2790)*34? -68 34/(-85) + (-270)/15*(-13)/(-15) -16 What is the value of (-6 - (-10)/(80/56))/((-20)/(-12)*3)? 1/5 What is the value of (-15)/(-6)*(104/(-10) - -10)*70/7? -10 Evaluate 52*(-110)/(-13420)*183. 78 Calculate ((-1)/3)/(-9 + -93*(-189)/1944). -8 What is the value of -8 + 5 + ((-680)/(-150) + -4)/(4/40)? 7/3 Calculate 48/(28224/(-1421))*12. -29 Calculate -3 + 0 + 33 + -50 + -2. -22 What is the value of 2/(-61) - (-222819)/(-376248)? -5/8 Calculate 55544/7860 + (-7 - (-5 - -5)). 1/15 What is 196290/(-58887) + 16/9? -14/9 Evaluate (120/(-22) - -2)*(775808/256)/(-551). 19 What is 3227/(-1383)*474/14? -79 Calculate (-6)/7 + (-71208)/11592. -7 ((-1092000)/(-321))/100 + 34/(-1) 2/107 What is the value of -16*(-2)/272 + 19/(-95) + (-3549)/255? -14 -1 + (((-6708)/(-12))/13 - (18/9 - -3)) 37 27/3 + 4896 + -4863 42 What is the value of (-24 - 232/(-12))/4? -7/6 What is the value of (-2968)/(-24)*5595/13055? 53 What is 14 - (-372)/(-28) - (11 - 721/(-49))? -25 (-59241)/806*1*(-44)/(-33) -98 Evaluate 40788/(-1122) + (-180)/(-5) - 326/136. -11/4 What is ((-470)/6)/(3105/(-1863))*-1? -47 (48 - 62 - -39) + 6819/(-273) 2/91 Calculate 2612/260 - (1612/31 + -36 + 210/(-13)). 51/5 Calculate (-2086)/(-9387) + 2/18*547. 61 What is the value of 906/(-5889) - (-7704)/(-117)? -66 Evaluate (-52)/4 + 140192/4004 + -22. 1/77 What is ((-795)/30 - (2 - 13))/((105/28)/15)? -62 What is the value of (-3)/(180/70) + 15*(-2)/(-72)? -3/4 What is 0 + 0 + 8/3 - (319424/(-4692))/(-28)? 4/17 Evaluate ((-83)/83)/(15/(-7995)*-13). -41 What is the value of 1189500/633750 + 9/(-5)? 1/13 Evaluate 1141/163*(-6 + 15)/(-3). -21 Evaluate (24/138)/(1*(-60)/(-1380)). 4 What is (9486/(-270) + 32)*-15? 47 What is the value of (-246)/2 - -3*(8980/(-11674) + (-122)/78)? -130 Calculate -253 - ((-40 - -73) + -151). -135 What is the value of (180/108)/(16745/(-1122) + 15)? 22 Calculate ((-1)/((-320)/15))/((-361)/(-1444)). 3/16 What is the value of 546*-1*(-2412)/(-25326)? -52 ((-790)/(-316))/((-3)/(-33) + (-175)/231) -15/4 (-232)/(-28420) + 203776/7840 26 Calculate (-19 - 6993/(-405))/(1/((-30)/(-24))). -13/6 Calculate (-459464)/(-19118)*(15/(-10) - -2) - 12. 2/121 What is -37*1 - (-40426)/1189? -3 What is the value of (-61)/((-488)/(-72)) + (-95)/5? -28 (((-100)/160)/(33/264))/((-5)/34) 34 What is (-320)/(-300)*-5*17/(1360/12)? -4/5 Evaluate 17 + -7*(-3612)/(-1484). -2/53 (0/107)/(((-18)/30)/(7/(-35))) 0 Evaluate 46*(-8)/(-92)*-6. -24 Calculate 78/195 + (-86)/40 - 14063/(-196). 70 Calculate (-3)/(186/(-868)*(-14)/12) + -83 - -11. -84 Evaluate 2442/(-1332) + (-8)/(-16). -4/3 What is the value of 3/(2/(-12)*666/296)? -8 Calculate (5 + 4)/((-3600)/3200). -8 What is (2/(-15))/((-32)/36*(-168)/32)? -1/35 Evaluate (-30)/12 - 370/24*1*122/(-915). -4/9 Evaluate ((-15)/7)/(-1) - (163 + 4560/(-28)). 2 What is the value of (-109 + 32835/220)*(-36)/(-21)? 69 What is the value of ((-574)/112*-4)/(6 + 39/(-6))? -41 (-18)/855 - 7784/132050 -2/25 1/(-3)*(-1549800)/32256 + -16 1/64 14/((-16058)/(-12555)) - 11/1 -2/37 -43*(-68)/55556 + ((-1892)/152)/(-1) 25/2 (-208)/130 + 14/10 -1/5 Calculate (-6)/(((-1)/10)/(32/1200)). 8/5 What is (-6)/(-26)*(36 + 37272/(-1044))? 2/29 Calculate -10 - ((-208)/(-3640) + (-20136)/2030). -4/29 What is the value of (-4202)/(-56) - (1364/224)/(-31)*2/(-11)? 75 What is the value of (-1 - -13)/(49 + 12059/(-248))? 32 (-505232)/66624*(-16)/(-42) -26/9 Calculate (-3)/((-6)/140)*(-41 + (-243276)/(-5940)). -28/9 ((-22)/55*-1)/((-12)/(-39)*11/440) 52 Evaluate (-384)/480*6/16 + (-16)/30. -5/6 Evaluate (-5901)/1365 + (((-9)/(-3))/3)/(8 - 21). -22/5 Evaluate ((-6)/(-4))/((23 - (-5423)/(-238))/(56/49)). 8 What is 50 - ((-1260)/(-144))/(65/104)? 36 (20 - (-1560)/(-96))*(-24)/5 -18 What is the value of ((-24990)/445)/7 - (528/110)/3*-5? -2/89 What is the value of 2/((58/725*25)/(12 + (-30)/6))? 7 ((-405)/24 - (-252)/14)/((-6)/(-64)) 12 Calculate (-7)/(21/117) + (-11416)/(-1427). -31 What is 68/38896*52*451? 41 What is 2/7*2 - (6/8 + (-152761)/338492)? 3/11 What is the value of (-1104)/(-84) - (-4160)/1456? 16 -21 + (-2997)/(-148) - (561/(-60) - -2) 33/5 1 - (2534/35 - 10) - (-7)/(420/24) -61 (29302/(-2793) - -11) + -3*(0 - (-2)/9) -3/19 What is 126/(-3136)*376 + (-45)/(-3)? -3/28 Evaluate 90/40*4/(-6)*570/19. -45 What is 12*(-112)/64 + 25? 4 What is 50/610*((-4092)/(-155))/66? 2/61 Calculate (976/25376)/(6/(-52)). -1/3 (93/(-558))/((-11354)/1428 - -8) -17/5 Evaluate 6/(-21)*-7*(41 + -30). 22 Calculate 67560/30965*(-1)/12. -2/11 Calculate (-2686)/1817*-23 + -23. 11 What is the value of (-24541)/218735 - (-1)/10? -1/82 Calculate (-3100)/1000 - 8*3/(-6) - 35/10. -13/5 ((-162393)/3249 - -50)*(-16)/(-24) 2/171 Evaluate 362*9/(-171) + (-9 - (-1548)/171). -19 What is ((-12)/(-14) - 220/175) + (-141)/(-15)? 9 What is the value of 107188/(-844) + 4 + 54? -69 Evaluate (1 - 0) + 98/((-9016)/(-1380)). 16 3087/(-5586)*266/(-28) 21/4 What is 1*169/(-72) + 126/1008? -20/9 Calculate ((-6675)/(-125) - 64)/(-2 - (-22)/10). -53 What is (1053/(-9))/(-9) + 170/40*1*-36? -140 Evaluate -161*25852/(-103684) + (-1)/7. 40 Evaluate (-84 - 2) + (-4262 - -4417). 69 (-313390)/2442 + (137 - -7) 47/3 2 - ((1554/42 - 39) + (-5 - 64)) 73 What is (-3)/15 + (-128)/80 + (-4026)/330? -14 Calculate -20*(315/(-175) - (9/(-6) - (-174)/120)). 35 What is ((-1566)/(-6264) + 1534/8)*1/(-2)? -96 Calculate (-10)/(-6)*154934/11210 + -23. 2/57 Calculate -76 + -55 + 34 - -134. 37 Evaluate (-5 + 69*6/96)*(-76)/418. 1/8 Evaluate (-2)/(3/6 - 0) - 4 - (377 + -415). 30 Evaluate (-5436)/12684*((-28)/(-12))/(-7). 1/7 What is the value of (28015/8620)/(2/(-40))? -65 What is (-7 + 3)/(-27 - (-5 - 21)) + (-14)/4? 1/2 -7 + (176/(-22) - -24 - 19) -10 15/66*(37*(-38)/285 + 5) 1/66 ((-1)/8*3)/(((-144)/1152)/(2/(-324))) -1/54 700/280 + 3/(126/(-111)) -1/7 What is the value of ((-6)/24 + (-56)/448)/((-3)/3 - 2)? 1/8 Evaluate 13170/6146 + (-2 - 78/7). -11 What is the value of (-92)/2944*3504 + 23/2? -98 Evaluate ((-286)/2)/((-1386)/378). 39 What is 7 + 1*-8 + (10/(-22))/(400/560)? -18/11 What is 6765/330 + -2 + -13 + 5? 21/2 (-2 + 1 + (-1 - 10))*(1 + (-7029)/6930) 6/35 What is 1240/(-2170)*77/198? -2/9 What is the value of ((-267)/18 - -15)*654/(-14) + 0 + 8
{ "pile_set_name": "DM Mathematics" }
7 - 45/7. (a - 45)*(a + 1)/7 Find j, given that 4*j**2/7 + 2280*j/7 - 2284/7 = 0. -571, 1 Suppose -2*i**4/17 - 4*i**3/17 + 2*i**2/17 + 4*i/17 = 0. What is i? -2, -1, 0, 1 Factor 2*g**2/7 - 3632*g/7 + 1648928/7. 2*(g - 908)**2/7 Let -y**5/3 - 24*y**4 - 355*y**3 + 8198*y**2/3 - 5876*y + 4056 = 0. What is y? -39, 2 Suppose f**5/9 + f**4/9 - 2*f**3 - 50*f**2/9 - 47*f/9 - 5/3 = 0. Calculate f. -3, -1, 5 Factor 2*y**5/11 + 4*y**4/11. 2*y**4*(y + 2)/11 Factor -3*j**2 + 54*j + 57. -3*(j - 19)*(j + 1) Let -3*x**2/5 - 99*x/5 + 102/5 = 0. What is x? -34, 1 Determine b so that -32*b**3/7 - 46*b**2 + 332*b/7 + 22/7 = 0. -11, -1/16, 1 Find t such that -3*t**4/5 - 57*t**3/5 = 0. -19, 0 Factor -10*z**2 - 215*z - 555. -5*(z + 3)*(2*z + 37) What is f in 4*f**5 + 4*f**4 - 92*f**3 - 20*f**2 + 232*f + 160 = 0? -5, -1, 2, 4 Solve 4*b**3 + 96*b**2 + 756*b + 1960 = 0. -10, -7 Solve 3*y**4/5 + 1692*y**3/5 + 240258*y**2/5 + 475452*y/5 + 236883/5 = 0 for y. -281, -1 Factor 36*b**2 - 400*b + 400. 4*(b - 10)*(9*b - 10) Factor -5*y**2 - 20*y - 20. -5*(y + 2)**2 Determine h so that -2*h**5 - 4*h**4 + 24*h**3 + 76*h**2 + 74*h + 24 = 0. -3, -1, 4 Suppose -d**2/3 + 2340*d - 4106700 = 0. What is d? 3510 Factor 242*a**3/3 + 572*a**2/3 + 184*a/3 + 16/3. 2*(a + 2)*(11*a + 2)**2/3 Factor o**2/8 - 11*o/2. o*(o - 44)/8 What is r in -r**3/5 - 19*r**2/5 - 24*r - 252/5 = 0? -7, -6 Let 4*n**2 + 12664*n + 10023556 = 0. Calculate n. -1583 Factor 4*q**4 - 44*q**2 + 72*q - 32. 4*(q - 2)*(q - 1)**2*(q + 4) Factor -2*z**3/9 + 4*z**2/9 + 62*z/9 + 56/9. -2*(z - 7)*(z + 1)*(z + 4)/9 Let -8*n**2/3 - 136*n - 1734 = 0. What is n? -51/2 Find n, given that -3*n**3/5 + 78*n**2 + 1596*n/5 + 1608/5 = 0. -2, 134 Suppose -2*q**5/9 + 38*q**4/9 - 220*q**3/9 + 532*q**2/9 - 182*q/3 + 22 = 0. What is q? 1, 3, 11 Solve 5*o**4/2 + 35*o**3/2 - 225*o**2/2 - 35*o/2 + 110 = 0. -11, -1, 1, 4 Let 55*b**2/2 + 250*b + 560 = 0. Calculate b. -56/11, -4 Factor -60*s**2/7 + 26*s/7 + 2/7. -2*(2*s - 1)*(15*s + 1)/7 Suppose 5*q**3/2 + 85*q**2 - 205*q/2 - 525 = 0. Calculate q. -35, -2, 3 Factor 2*r**3 - 836*r**2/3 + 28840*r/3 + 19600/3. 2*(r - 70)**2*(3*r + 2)/3 Solve -3*o**3 - 33*o**2 + 195*o + 225 = 0. -15, -1, 5 Factor -2*z**4/11 + 28*z**3/11. -2*z**3*(z - 14)/11 Factor 5*t**2 + 195*t - 410. 5*(t - 2)*(t + 41) Factor -10*o**3/3 + 1426*o**2/3 + 572*o/3. -2*o*(o - 143)*(5*o + 2)/3 What is a in a**2/6 - 2884*a/3 + 4158728/3 = 0? 2884 Factor -6*i**3 + 58*i**2 + 76*i - 128. -2*(i - 1)*(i + 2)*(3*i - 32) Factor 5*c**2 + 15*c - 440. 5*(c - 8)*(c + 11) Solve 556*a**2/9 + 286*a/9 + 4/9 = 0. -1/2, -2/139 Factor 2*t**5 + 2*t**4 - 6*t**3 - 2*t**2 + 4*t. 2*t*(t - 1)**2*(t + 1)*(t + 2) Factor -4*q**2/3 + 968*q/3 + 1952/3. -4*(q - 244)*(q + 2)/3 Let 4*h**3 - 396*h**2 + 5568*h + 228752 = 0. Calculate h. -17, 58 Let 3*i**5/10 - 32*i**4/5 - 58*i**3/5 + 9*i**2/5 + 113*i/10 + 23/5 = 0. Calculate i. -1, -2/3, 1, 23 Suppose -2*j**2/7 - 1348*j/7 = 0. Calculate j. -674, 0 Determine p, given that -p**3/6 + p**2/6 + p/3 = 0. -1, 0, 2 Factor g**5/4 - g**4/2 - g**3/4 + g**2/2. g**2*(g - 2)*(g - 1)*(g + 1)/4 Factor -z**2/2 + 47*z - 93/2. -(z - 93)*(z - 1)/2 Solve -n**2 + 47*n/5 - 18/5 = 0 for n. 2/5, 9 Solve -4*j**2/3 - 196*j/3 + 5168/3 = 0 for j. -68, 19 Let -4*a**3/7 - 404*a**2 - 498432*a/7 + 501264/7 = 0. Calculate a. -354, 1 Find t such that 3*t**3 - 279*t**2 + 6624*t - 6348 = 0. 1, 46 Suppose w**4/4 - 247*w**3/4 + 3903*w**2 - 10919*w - 14884 = 0. What is w? -1, 4, 122 Solve -2*j**4 - 8*j**3/3 + 62*j**2/3 + 24*j - 24 = 0. -3, -2, 2/3, 3 Suppose 5*p**5 - 20*p**3 = 0. Calculate p. -2, 0, 2 Determine x, given that -4*x**4 + 164*x**3 + 176*x**2 - 336*x = 0. -2, 0, 1, 42 Solve -r**3 - 40*r**2 - 213*r - 306 = 0. -34, -3 What is j in -2*j**3 - 2444*j**2 - 2442*j = 0? -1221, -1, 0 Suppose 2*u**2 - 44*u + 114 = 0. Calculate u. 3, 19 Determine d, given that -2*d**4/3 + 8*d**3/3 + 2*d**2 - 28*d/3 + 16/3 = 0. -2, 1, 4 What is l in l**4/6 + 71*l**3/6 + 1289*l**2/6 + 805*l/6 - 1225 = 0? -35, -3, 2 Let -5*o**4 + 615*o**3 - 25215*o**2 + 344605*o = 0. Calculate o. 0, 41 Solve 3*d**2/4 + 3*d/2 + 3/4 = 0 for d. -1 Factor -4*u**2 - 420*u - 3104. -4*(u + 8)*(u + 97) Factor -6724*x**3/7 + 6396*x**2/7 + 324*x/7 + 4/7. -4*(x - 1)*(41*x + 1)**2/7 Suppose -2*x**2 + 13360*x - 22311200 = 0. Calculate x. 3340 Factor -w**3/4 + 65*w**2/4 - 272*w + 256. -(w - 32)**2*(w - 1)/4 Factor -a**2/6 - 136*a/3 - 9248/3. -(a + 136)**2/6 Solve -5*n**4 + 135*n**3 - 1040*n**2 + 2700*n - 2240 = 0. 2, 7, 16 Solve 2*c**5/3 - 28*c**4/3 - 16*c**3/3 + 1708*c**2/3 - 7154*c/3 + 5488/3 = 0. -8, 1, 7 Suppose -x**3/2 + 207*x**2 = 0. What is x? 0, 414 Solve -10*l**4 + 34*l**3 + 30*l**2 - 82*l - 68 = 0 for l. -1, 2, 17/5 Factor 3*o**3/7 + 15*o**2 - 12*o/7 - 60. 3*(o - 2)*(o + 2)*(o + 35)/7 Factor -6*p**4 + 56*p**3 + 40*p**2. -2*p**2*(p - 10)*(3*p + 2) Factor 4*j**3 + 36*j**2 - 4*j - 36. 4*(j - 1)*(j + 1)*(j + 9) Factor -x**4/4 - x**3/2 + 3*x**2/4 + x - 1. -(x - 1)**2*(x + 2)**2/4 Determine w, given that -3*w**4 + 315*w**3 - 924*w**2 + 612*w = 0. 0, 1, 2, 102 Factor j**2/9 + 8*j/9. j*(j + 8)/9 Factor d**4/5 + 6*d**3 + 253*d**2/5 + 84*d + 196/5. (d + 1)**2*(d + 14)**2/5 Let -21*u**4 - 111*u**3 - 198*u**2 - 132*u - 24 = 0. Calculate u. -2, -1, -2/7 Determine y so that 5*y**3 - 24810*y**2 + 30751980*y + 61603240 = 0. -2, 2482 Find d such that -4*d**3 - 76*d**2 - 200*d - 128 = 0. -16, -2, -1 Factor -2*c**2/13 + 12*c/13. -2*c*(c - 6)/13 Factor l**3/3 + 242*l**2 + 483*l + 724/3. (l + 1)**2*(l + 724)/3 Determine o, given that -5*o**5 + 15*o**3 - 10*o**2 = 0. -2, 0, 1 Factor -k**3/2 + 3*k**2 + 45*k/2 - 25. -(k - 10)*(k - 1)*(k + 5)/2 Factor -3*j**4 - 6*j**3 + 3*j**2 + 6*j. -3*j*(j - 1)*(j + 1)*(j + 2) Find z, given that z**3/4 - 195*z**2/4 + 144*z = 0. 0, 3, 192 Suppose 36*w**3/7 - 1452*w**2/7 + 1888*w/7 - 624/7 = 0. What is w? 2/3, 39 Factor -2*h**3 + 114*h + 112. -2*(h - 8)*(h + 1)*(h + 7) Let 2*j**4 - 14*j**3 - 184*j**2 - 168*j = 0. What is j? -6, -1, 0, 14 Factor -2*b**3 + 29*b**2 - 40*b + 13. -(b - 13)*(b - 1)*(2*b - 1) Find d such that -d**5/7 - 38*d**4/7 - 558*d**3/7 - 3888*d**2/7 - 12393*d/7 - 13122/7 = 0. -9, -2 Factor i**4 + 5*i**3 - 3*i**2 - 13*i + 10. (i - 1)**2*(i + 2)*(i + 5) Factor 76*s**4 + 8*s**3. 4*s**3*(19*s + 2) Let 3*d**3 + 486*d**2 + 19188*d - 40344 = 0. What is d? -82, 2 Factor -l**4 - 151*l**3 + 160*l**2 + 1204*l - 1824. -(l - 2)**2*(l + 3)*(l + 152) Determine r, given that -r**2/9 - 22*r/9 + 320/9 = 0. -32, 10 Factor t**4 + 3*t**3 - 49*t**2 + 45*t. t*(t - 5)*(t - 1)*(t + 9) What is q in -4*q**5 - 12*q**4 + 44*q**3 + 60*q**2 - 184*q + 96 = 0? -4, -3, 1, 2 Determine n, given that 23120*n**2 - 680*n + 5 = 0. 1/68 Factor -3*o**5/7 + 6*o**3/7 - 3*o/7. -3*o*(o - 1)**2*(o + 1)**2/7 Find c, given that -2*c**4 + 4*c**3 = 0. 0, 2 Suppose -2*a**3/7 - 228*a**2/7 - 6018*a/7 + 27848/7 = 0. What is a? -59, 4 Determine l, given that -l**4/4 + l**3/2 + 21*l**2/4 - 31*l/2 + 10 = 0. -5, 1, 2, 4 Factor -5*b**3 - 40*b**2 - 75*b. -5*b*(b + 3)*(b + 5) Find g such that 3*g**2 - 918*g = 0. 0, 306 Factor 12*z**4 - 64*z**3 + 92*z**2 - 24*z. 4*z*(z - 3)*(z - 2)*(3*z - 1) Factor 906*w**3 + 14492*w**2 + 57920*w - 256. 2*(w + 8)**2*(453*w - 2) Factor 2*g**2/9 + 40*g/3 + 118/9. 2*(g + 1)*(g + 59)/9 Solve 5*f**5 + 65*f**4 + 115*f**3 + 55*f**2 = 0 for f. -11, -1, 0 Suppose k**5 + 299*k**4 - 1206*k**3 + 1814*k**2 - 1211*k + 303 = 0. What is k? -303, 1 Find u, given that 3*u**5 + 3*u**4 - 171*u**3 + 417*u**2 + 48*u - 540 = 0. -9, -1, 2, 5 Determine n, given that 3*n**5 + 15552*n**4 + 20155392*n**3 = 0. -2592, 0 Suppose 5*x**5 - 35*x**4 + 10*x**3 + 290*x**2 - 495*x + 225 = 0. Calculate x. -3, 1, 3, 5 Factor -k**4/4 + 11*k**3 - 219*k**2/2 - 253*k - 529/4. -(k - 23)**2*(k + 1)**2/4 Suppose y**3/4 - 17*y**2/4 + 4*y = 0. What is y? 0, 1, 16 Find y, given that -y**2/6 + 10*y/3 - 32/3 = 0. 4, 16 Suppose 3*l**5 + 15*l**4 - 66*l**3 + 48*l**2 = 0. What is l? -8, 0, 1, 2 Solve -5*g**2 - 145*g + 480 = 0 for g. -32, 3 Find n such that -n**4 + 10*n**3 - 8*n**2 - 10*n + 9 = 0. -1, 1, 9 Find a such that -3*a**2 - 43*a + 30 = 0. -15, 2/3 Factor -2*p**4/5 - 24*p**3/5 - 58*p**2/5 + 84*p/5. -2*p*(p - 1)*(p + 6)*(p + 7)/5 Solve -2*p**2/13 - 56*p/13 + 1176/13 = 0 for p. -42, 14 Solve 45*i**2 + 21905*i - 4870 = 0 for i. -487, 2/9 Suppose -35*i**
{ "pile_set_name": "DM Mathematics" }
Let q(d) = d**2 - 11*d + 35. Let r be q(6). Suppose 2*t - t + 274 = 4*j, r*j - 2*t - 344 = 0. What is the remainder when j is divided by 12? 8 Let z = 2 + 41. Let d = z - 33. What is the remainder when d is divided by (8/6)/((-2)/(-6))? 2 Calculate the remainder when 2/((-12)/(-1170)) + (-21)/(-3) is divided by 66. 4 Suppose 5*v - 6 = 4. Suppose -x + v*i = -119, 2*x = -3*x - 2*i + 547. Suppose 28 = 3*m - 2*m. What is the remainder when x is divided by m? 27 Let t(m) = m**3 + 5*m**2 + 2*m - 3. Let j(d) = -d**3 + 4*d + 2. Calculate the remainder when t(-4) is divided by j(-2). 1 Suppose -2*j + 5*l = -81, -l = -2*j + 7*j - 162. Suppose 2*o + 17*q = 21*q + 50, 0 = 4*q + 8. Calculate the remainder when j is divided by o. 12 Let f = -9 - -15. Let a(z) = -z**2 + 1. Let o(c) = -2*c**2 - 8*c + 20. Let i(r) = -3*a(r) + o(r). Calculate the remainder when i(7) is divided by f. 4 Suppose -t = 4*x - 22 - 1, 0 = t - 2*x + 7. Suppose t*r - 242 = -5*d, 0 = r - 4*r - 4*d + 238. Calculate the remainder when r is divided by 19. 17 Suppose -28*c + 1159 = -9*c. What is the remainder when 242 is divided by c? 59 What is the remainder when 219 - 26 - (4/(-1))/2 is divided by 28? 27 Suppose 33420 = 17*v + 43*v. Calculate the remainder when v is divided by 35. 32 Let n(t) = 15*t + 17. What is the remainder when 156 is divided by n(2)? 15 Let o = 321 + -265. What is the remainder when 273 is divided by o? 49 Suppose 555*x + 4 = 556*x. What is the remainder when 92 is divided by x? 0 Let n = -4964 - -4979. Let a(l) = 6*l**2 - 3*l + 3. Calculate the remainder when a(4) is divided by n. 12 Suppose 0*v + 5*w + 140 = 5*v, 3*v - 85 = 2*w. Suppose 2*b = -z + 2*z - 38, z - v = -b. Suppose 36 = -4*s + 104. What is the remainder when z is divided by s? 15 Suppose 0 = 7*h - 2*h - 235. What is the remainder when h is divided by (-2)/(-4)*-13*(-4 + 2)? 8 Suppose -3*v - 18 = 2*g + 66, v = 5*g + 193. Let x = -9 - g. Calculate the remainder when x is divided by 8. 6 Let w(z) = -z**2 + 8*z - 22. Let d be w(6). Calculate the remainder when (-1488)/(-60) - 2/d is divided by 5. 0 Let o = 633 - 614. What is the remainder when 38 is divided by o? 0 Suppose 1781 = 3*h + 1139. Calculate the remainder when h is divided by 51. 10 Let f(g) = -g - 3. Let u be f(-1). What is the remainder when (u + 8)/(3/46) is divided by 32? 28 Calculate the remainder when 627/9 + (-10)/15 is divided by 13. 4 Let p = -8 + -8. Let q be p/3*3/(-2). What is the remainder when (12/q)/((-2)/(-44)) is divided by 18? 15 Let n(o) = o + 8. Let b be 3/2*(-84)/18. Let r be n(b). What is the remainder when 20 is divided by 11*3*r/3? 9 What is the remainder when 144 is divided by (14 - 18)*75/(-6)? 44 Let q(m) = 26*m + 79. Calculate the remainder when 13 is divided by q(-3). 0 Suppose -3*u + 0*u - 12 = 0, -u - 308 = -4*d. Suppose 0*r = -3*r + 2*f + 73, 3*r + f = d. Calculate the remainder when r is divided by 1/(-3) + (-240)/(-18). 12 Let r be (-4)/6*(-18)/3. Suppose -y = r*y - 5. What is the remainder when 1/(-2 - -1)*-2 is divided by y? 0 Let x = 220 - 186. Calculate the remainder when x is divided by (-12)/(-5)*(7 + -2). 10 Let z(l) = -l**3 - 12*l**2 + 17*l + 9. Calculate the remainder when z(-14) is divided by 15. 13 Let w(k) = -5*k - 17. Let f be w(-7). Let d be 752/f + 18/81. What is the remainder when 83 is divided by d/8*(-112)/(-21)? 27 Suppose 4*u - 4*y - 56 = 0, -18 = -u + 2*y - 5. Let c = 1475 - 1446. Calculate the remainder when c is divided by u. 14 Suppose 6*j = 3*j - 1392. Let i be j/(-26) + (-10)/(-65). Suppose -i = -3*n + 3. What is the remainder when 25 is divided by n? 4 Suppose 28 = 2*x + 4*k, -3 = 2*x - 2*k - 25. Let t(s) = s + 5. Let i = -46 - -46. Calculate the remainder when x is divided by t(i). 2 Let z = -16 + 18. Suppose -z*g + 3 = 3*i, 3*g + i + 21 = 6*g. What is the remainder when g is divided by 6? 0 Let v(n) be the third derivative of n**6/120 - n**5/60 - n**4/8 + n**3/6 - 5*n**2. What is the remainder when v(4) is divided by 13? 11 Let d(o) = 4*o + 159. What is the remainder when 309 is divided by d(-32)? 30 Suppose -4*i = v - 31, 3*i = -2*v + 45 + 12. Suppose 38 = 5*l - v. Calculate the remainder when 166 is divided by l. 10 Calculate the remainder when 240 is divided by 8*((-1080)/64)/(-5). 24 Let w(o) = o**3 - 8*o**2 + 18*o - 7. Calculate the remainder when w(6) is divided by 5. 4 Let c(f) = -f**3 - 6*f**2 + 5*f - 12. Let n be c(-7). Suppose -3*m = 5*u + n*m - 25, -5*u + 4 = -2*m. What is the remainder when 8 is divided by u? 0 Let s = 21 + 27. Let b = s - 24. Let g(q) = 2*q**2 + 57*q + 287. Calculate the remainder when g(-24) is divided by b. 23 Suppose 140 = 6*w + 44. Suppose -3*m = -0*m + 12, 0 = -4*h - 2*m + w. Calculate the remainder when 45 is divided by 5/15 + 70/h. 9 Suppose -f + 2*f - 50 = 0. Let s = 38665 - 38638. What is the remainder when f is divided by s? 23 Let f(v) = -v. Let i(z) = -4*z + 10. Let n(s) = -3*f(s) + i(s). Let b(l) = l**3 + 10*l**2 + 7*l + 13. Calculate the remainder when b(-9) is divided by n(-6). 15 Suppose 0 = 3*j - 2*t - 40, -4*t - 12 + 30 = j. Let d = j - -12. What is the remainder when d is divided by 15 - (0 - 1*-1)? 12 Suppose -111 = -8*r + 169. What is the remainder when r is divided by (14/21)/(3/81)? 17 Let s(t) = t**2 + 39*t + 230. Let x = 73 + -43. Let v = x + -19. What is the remainder when v is divided by s(-32)? 5 Suppose 10*z = -41 + 361. Suppose -5*y = 3*b - 7*b + 14, 10 = 5*y. What is the remainder when z is divided by b? 2 Let h(z) = -93*z - 519. Calculate the remainder when h(-7) is divided by 1. 0 Let m(z) = -z**3 - 8*z**2 - 7*z + 15. Let x = 2 + -9. What is the remainder when m(x) is divided by 9? 6 Let a(q) = -q**3 - 5*q**2 + 2*q + 6. Let c be a(-5). Let p = -18 + c. Calculate the remainder when p*3/(-24)*12 is divided by 18. 15 Suppose 0 = 4*q - 2*q - 4. Suppose 2*d - 5 = d. Calculate the remainder when d is divided by q. 1 Let z(b) = 3*b**2 - 205*b + 89. Suppose -3*d = 5*x - 2*d - 51, -3*d = 2*x - 10. What is the remainder when z(68) is divided by x? 10 Suppose 4*i = 221 + 3. What is the remainder when i is divided by 27? 2 Let l(d) = -5*d**2 - 72*d - 25. Suppose 42 = -5*z + 127. What is the remainder when z is divided by l(-14)? 2 Suppose 5*y - 3*f = 2*f + 70, 2*y + 5*f - 21 = 0. Suppose -1 - 11 = 4*l - r, -30 = 5*l - 5*r. What is the remainder when l + -1 + 93/1 is divided by y? 12 Suppose 0 = 2*v - 32 - 6. Let c = -42 - -42. Suppose 5*g = 4*r - 150, 5*g + 45 = r - c*g. Calculate the remainder when r is divided by v. 16 Let u = -47 - -81. Let r = -30 + u. Calculate the remainder when (39/6)/(1/2) is divided by r. 1 Let n = -3 + 11. Let z be -2*6*18/(-4). Suppose 5*p - z = 16. What is the remainder when p is divided by n? 6 Let m = 23 - 23. Calculate the remainder when 37 is divided by 13 - (m + (4 - 2)). 4 Let l(j) = -j**3 - j**2 + j - 2. Let w be l(-2). Let r(q) = q + 1. Calculate the remainder when 28 + (2 - w) + 2 is divided by r(10). 10 Let n(q) = q**3 + 20*q**2 - 5*q - 1. Let v be n(-20). Calculate the remainder when 21 is divided by (-1 - 2) + v/11. 3 Calculate the remainder when 272 is divided by 43 - (4/8)/(5/(-30)). 42 Suppose -3*y = -5*n - 55 + 7, 0 = 2*y - 4*n - 32. What is the remainder when 83 is divided by y? 3 Suppose c = -2, 0 = -3*y - 2*c - 7. Let z(p) = 14*p**2 - p - 2. Let f be z(y). Let x = f + -8. Calculate the remainder when 12 is divided by x. 2 Let y = -615 - -622. Calculate the remainder when 115 is divided by y. 3 Suppose -28*a + 4554 = 5*a. Calculate the remainder when a is divided by 10. 8 Let o(w) = 100*w + 418. What is the remainder when 142 is divided by o(-4)? 16 Let h(d) = d**3 + 3*d**2 - 1. Suppose -4*m - t + 3 = 0, 5*m + 2*t = 3*t + 6. Let s be 2/(-4)*2*m. Calculate the remainder when 2 is divided by h(s). 0 Suppose -20 = -5*o - 4*p, 0 = -3*o + 4*p + 21 - 9. Suppose o*c + 642 = 7*c. Calculate the remainder when c is divided by 36. 34 Suppose -66*j = -52*j - 168. Calculate the remainder when 263 is divided by j. 11 Let c(q) = q - 1. Let r(v) = -3*v - 8. Let n(m) = 6*c(m) + r(m). Calculate the remainder when n(10) is divided by 6. 4 Suppose -2*h - 46 + 120 = 0. Suppose -i = 5*s - 3*i + 92, -i + h = -2*s. Let a = 10 - s. What is the remainder when 53 is divided by a? 25 Let z(k) = -5*k - 11 - 25*k**
{ "pile_set_name": "DM Mathematics" }
4802 kilograms in grams? 736.4802 What is 3.002003l in millilitres? 3002.003 How many micrometers are there in 6/5 of a millimeter? 1200 What is 11088108.9ns in days? 0.00000012833459375 Convert 47271.55cm to meters. 472.7155 How many minutes are there in 289196.55 seconds? 4819.9425 Convert 41693.52 years to months. 500322.24 What is 55968.69 millilitres in litres? 55.96869 What is 999.1732 centuries in years? 99917.32 How many seconds are there in 1/6 of a minute? 10 How many grams are there in 189.8285 micrograms? 0.0001898285 What is seven eighths of a tonne in kilograms? 875 How many micrograms are there in one sixteenth of a gram? 62500 What is 0.427744 centuries in months? 513.2928 What is 6.854876 weeks in days? 47.984132 How many nanoseconds are there in seventeen halves of a microsecond? 8500 How many milligrams are there in 9.922787t? 9922787000 How many micrograms are there in 1.156171 nanograms? 0.001156171 What is 18/5 of a kilogram in grams? 3600 What is 17/2 of a litre in millilitres? 8500 What is 13/5 of a millennium in centuries? 26 Convert 0.3543071l to millilitres. 354.3071 What is 4.502803 centuries in decades? 45.02803 What is 1/15 of a week in minutes? 672 Convert 9.371518 weeks to minutes. 94464.90144 Convert 40276.42mg to grams. 40.27642 How many micrometers are there in 15/4 of a millimeter? 3750 What is 2/9 of a week in minutes? 2240 How many months are there in eight thirds of a decade? 320 How many milliseconds are there in 0.2876877 days? 24856217.28 How many meters are there in 11/10 of a kilometer? 1100 What is 21/4 of a centimeter in micrometers? 52500 How many litres are there in 505.7756 millilitres? 0.5057756 What is 0.63098 millimeters in kilometers? 0.00000063098 Convert 994855.7 litres to millilitres. 994855700 What is 10014.76ng in kilograms? 0.00000001001476 How many decades are there in 0.1823438 years? 0.01823438 How many milligrams are there in 909839.9 kilograms? 909839900000 How many millilitres are there in 969.1322 litres? 969132.2 Convert 27854.89 nanometers to meters. 0.00002785489 What is 1/4 of a decade in months? 30 What is three fifths of a millisecond in microseconds? 600 How many micrometers are there in 3/8 of a centimeter? 3750 Convert 63911.86 nanometers to meters. 0.00006391186 How many millilitres are there in 1/10 of a litre? 100 What is 37/5 of a kilogram in grams? 7400 How many centimeters are there in twenty-seven fifths of a meter? 540 How many millimeters are there in six fifths of a meter? 1200 What is 3/10 of a millimeter in micrometers? 300 Convert 79386.14 nanograms to tonnes. 0.00000000007938614 How many seconds are there in 11/4 of a minute? 165 What is 51/5 of a litre in millilitres? 10200 What is 3/40 of a second in microseconds? 75000 How many milligrams are there in 61.53226 nanograms? 0.00006153226 How many millimeters are there in 328180.2m? 328180200 How many millennia are there in 15953.6 years? 15.9536 How many litres are there in 1.412676ml? 0.001412676 Convert 4762.7298ns to hours. 0.0000000013229805 What is twenty-one eighths of a week in minutes? 26460 What is seven halves of a centimeter in millimeters? 35 What is eleven halves of a centimeter in micrometers? 55000 How many millilitres are there in 7/2 of a litre? 3500 What is 6.094951m in kilometers? 0.006094951 What is 6934167.1 days in weeks? 990595.3 Convert 14705239.5 seconds to days. 170.19953125 Convert 532.6949 centuries to years. 53269.49 How many milligrams are there in twenty-one fifths of a gram? 4200 What is twenty-one halves of a century in years? 1050 Convert 6741.618m to nanometers. 6741618000000 How many nanograms are there in 6/25 of a microgram? 240 Convert 933534.4 hours to milliseconds. 3360723840000 What is five quarters of a century in years? 125 What is 60274.8 centimeters in nanometers? 602748000000 How many micrometers are there in 3/10 of a millimeter? 300 How many months are there in four thirds of a millennium? 16000 How many milligrams are there in 606771.4t? 606771400000000 How many seconds are there in seventy-seven fifths of a minute? 924 What is 6.31259 weeks in nanoseconds? 3817854432000000 Convert 2375.76ml to litres. 2.37576 What is 214151.2cm in millimeters? 2141512 How many millilitres are there in twenty-five quarters of a litre? 6250 How many nanograms are there in 0.0453116 milligrams? 45311.6 What is 7388.778 decades in years? 73887.78 How many nanograms are there in 25/2 of a microgram? 12500 How many kilograms are there in 25/4 of a tonne? 6250 What is twenty-five eighths of a week in minutes? 31500 What is seventeen tenths of a kilogram in grams? 1700 What is 398596.4cm in meters? 3985.964 What is 3/40 of a milligram in nanograms? 75000 Convert 0.760373 kilometers to millimeters. 760373 How many grams are there in 9365.326t? 9365326000 What is eighteen fifths of a day in minutes? 5184 How many millilitres are there in 69.17683l? 69176.83 What is one fifth of a tonne in kilograms? 200 How many millilitres are there in 13/4 of a litre? 3250 How many milliseconds are there in 0.3008808 hours? 1083170.88 What is one quarter of a milligram in micrograms? 250 How many hours are there in 8/3 of a day? 64 Convert 349678.6m to kilometers. 349.6786 Convert 40697.27ng to micrograms. 40.69727 What is 0.1966906 millennia in centuries? 1.966906 What is eighteen fifths of a litre in millilitres? 3600 How many millilitres are there in 31/2 of a litre? 15500 What is 32/5 of a century in decades? 64 How many millimeters are there in nineteen quarters of a meter? 4750 How many litres are there in 590.7984ml? 0.5907984 Convert 0.6809978um to meters. 0.0000006809978 How many months are there in twenty-six fifths of a century? 6240 Convert 526747.2 millilitres to litres. 526.7472 Convert 877297.9mm to nanometers. 877297900000 How many months are there in 529945.8 decades? 63593496 What is 1.787755 millimeters in meters? 0.001787755 What is 3/25 of a litre in millilitres? 120 What is 3/10 of a tonne in kilograms? 300 What is 9832.29 litres in millilitres? 9832290 What is 72761.94 decades in millennia? 727.6194 What is 2.187586ml in litres? 0.002187586 How many minutes are there in twenty-one eighths of a week? 26460 Convert 8.657591ml to litres. 0.008657591 How many centimeters are there in 3/5 of a kilometer? 60000 Convert 8447.342 centimeters to meters. 84.47342 How many millilitres are there in 11/2 of a litre? 5500 What is one tenth of a meter in centimeters? 10 Convert 0.5304409 centuries to years. 53.04409 How many millilitres are there in 0.4666526l? 466.6526 What is 15203989.5 hours in weeks? 90499.9375 How many nanometers are there in 5.723003um? 5723.003 Convert 64.51992 millennia to centuries. 645.1992 How many years are there in 1/5 of a decade? 2 How many months are there in 878.0716 centuries? 1053685.92 What is 25/2 of a kilogram in grams? 12500 How many milligrams are there in 1420.29 kilograms? 1420290000 What is 21800.61 weeks in nanoseconds? 13185008928000000000 What is 92707.98 centuries in months? 111249576 How many millimeters are there in fifty-one quarters of a meter? 12750 Convert 37417.11 millennia to centuries. 374171.1 What is 11.94255 weeks in milliseconds? 7222854240 What is one quarter of a kilometer in centimeters? 25000 What is 1/5 of a day in seconds? 17280 What is 1.77731 seconds in milliseconds? 1777.31 How many millimeters are there in one tenth of a kilometer? 100000 What is 6/25 of a second in milliseconds? 240 How many decades are there in 3095.686 millennia? 309568.6 How many millilitres are there in twenty-nine fifths of a litre? 5800 How many millilitres are there in 15/4 of a litre? 3750 How many milligrams are there in 3926.549t? 3926549000000 What is seven sixths of a century in months? 1400 What is twenty-seven fifths of a decade in years? 54 How many decades are there in 76804.21 millennia? 7680421 Convert 98.77699 nanograms to tonnes. 0.00000000000009877699 Convert 68188.82 millilitres to litres. 68.18882 What is 33.8172 millimeters in kilometers? 0.0000338172 How many hours are there in 10/3 of a day? 80 How many kilometers are there in 8.790108 micrometers? 0.000000008790108 How many micrometers are there in 3/50 of a meter? 60000
{ "pile_set_name": "DM Mathematics" }
r - 2*r**2 + r**2 + r + 2. Suppose 3*x = 4*x. Suppose -3*t = -4*q + 2*t + 2, x = 3*q - 5*t - 4. Give a(q). -4 Let h(v) = 2*v - 1. Let d(f) = f**3 - 6*f**2 + 2*f - 14. Let l = 20 + -14. Let r be d(l). Determine h(r). -5 Let d(q) be the first derivative of q**4/4 - q**3 - q**2 - 4*q - 1. Suppose 4*y = 3*b - 4, 2*b + 4*y + 4 = -b. Suppose -4 + b = -v. Give d(v). 4 Let x(c) = 0*c - c**2 + 4 + 5*c - 3 - 4. Let w be 12/15*(-5)/(-2). Calculate x(w). 3 Let u(i) = -i**2 + 7*i + 3. Let o(s) = -2*s**2 + 15*s + 5. Let k(v) = 2*o(v) - 5*u(v). What is k(5)? -5 Let x = 0 - 0. Let b(y) = x + 3 - 2*y + 0. Let a = -55 - -57. Give b(a). -1 Let f be (-2 + 1)/(7/(-28)). Suppose -f*c + 0 = -2*g - 8, 5*g - 19 = -3*c. Let u(q) = -3*q**2 + 0*q**2 - 1 + 3*q**3 - 3*q - 2*q**c. Determine u(4). 3 Let r(j) = j + 6. Let l be r(-5). Suppose -3*w + 9 = 5*f, -f - 3 + 0 = 3*w. Let o = f - l. Let m(v) = -v**3 + 3*v**2 - 4*v + 3. Calculate m(o). -1 Suppose 0 = l - h - 9 - 1, 4*h + 25 = l. Suppose -3*p + 0*p = -9. Let f(u) = 4 - p - u + 3. Determine f(l). -1 Suppose j = -2*j - 2*j. Let t(q) = q**2 - q - 3. Give t(j). -3 Suppose 4*t = 2*c - 4, 0*t - 26 = 2*t + 5*c. Let o be ((-3)/6)/(t/(-12)). Let k(h) be the second derivative of -h**4/12 + h**3/3 + h**2 + h. Determine k(o). -6 Let q(r) = -r**2 + 4*r - 6. Suppose 0*g = 2*g - 6. Suppose -g = -4*o + 13. Determine q(o). -6 Let l(x) = -6*x**2 + x. Suppose -z - 4*z = -15. Let h be (-5)/((-5)/2) + 9. Suppose -z*d = -15, -t - 2*d + h = -0*t. Calculate l(t). -5 Suppose 4*j = 5*l - 28, -5*j + 5 - 27 = -3*l. Let v(z) = -3*z**2 - 3*z. Calculate v(j). -6 Let c(w) be the first derivative of w**4/4 - 11*w**3/3 - 13*w**2/2 + 10*w - 10. Determine c(12). -2 Let d(b) = -b**2 + 3*b - 4. Let x(z) = z**2 + z - 1. Let h be x(1). Let w(o) = 3*o**3 + o**2 - 2*o + 1. Let v be w(h). Calculate d(v). -4 Let u(j) be the third derivative of -j**5/60 - 5*j**4/24 - 5*j**3/6 + 37*j**2. Let v = -4 + 8. Let d be (10/8)/((-1)/v). Give u(d). -5 Let u(r) = r**2 + r. Let j be 0/1 - (-13 - -8). Suppose -2*o - j = 3*o. What is u(o)? 0 Let u(a) = a**2 + 16*a - 36. Let l be u(-18). Let f(j) = j - 2. Give f(l). -2 Suppose 5*z + x + 2 - 39 = 0, 2*z - 4*x = 6. Let c(r) = r**3 - 6*r**2 - 5*r - 7. Give c(z). 7 Suppose 22 = -15*m + 26*m. Let d(c) = -4*c**3 - c - 2. Let o(u) = -5*u**3 - u**2 - u - 2. Let b(p) = 4*d(p) - 3*o(p). Calculate b(m). 0 Let i(q) be the third derivative of -q**5/60 + 7*q**4/24 - q**3/2 + 3*q**2. What is i(5)? 7 Let s be ((-8)/14)/(32/(-112)). Let u(x) = -4*x. Determine u(s). -8 Let g(h) = h**2 - 4*h - 3. Let b(r) = -r**2 - 3*r + 2. Let c be b(-3). Suppose -2*o - c*o = -40. Suppose -5*v + 23 = 2*z, -3*v = -z + 6*z - o. What is g(v)? 2 Let z(u) = -u**2 + 2*u + 1. Suppose -4*k + 4*d = -32, 2*d = -2*k - 1 + 5. Give z(k). -14 Let s(p) = -p**3 + p**2 - 10. Let d(v) = 0 - 4 + 2*v - 1. Let b be d(4). Suppose -b*q + q = 0. What is s(q)? -10 Let p be (-27)/(-9) - 2/2. Let j(b) = -3 - p*b + 2*b - b. Give j(-5). 2 Let p(t) = -5*t**3 + 6*t**3 + 6*t - 9*t - 4 + 4*t**2. What is p(-4)? 8 Let d(y) = y + 1. Let v be d(3). Let t = v - 4. Suppose 0 = -2*b + 5*u + 29, 5*b + u - 1 - 4 = t. Let g(p) = p**3 - 4*p + 3. What is g(b)? 3 Suppose -1 = 5*t + 9. Let a be 6/(-21) - (-88)/14. Let s(n) = -n**2 + 1. Let y(c) = 7*c**2 - 7. Let v(u) = a*s(u) + y(u). What is v(t)? 3 Suppose -2 = -4*m + 10. Let k(h) = -2*h**2 + 3*h - 4. Give k(m). -13 Let n(a) = 6*a**3 - 8*a**2 + 8*a - 6. Let h(k) = 2*k**3 - 3*k**2 + 3*k - 2. Let g(c) = -14*h(c) + 5*n(c). Give g(-2). -6 Let y be 6/9 - 32/12. Let a(i) be the third derivative of 0 + 0*i + 1/3*i**3 - 1/12*i**4 + 2*i**2. What is a(y)? 6 Let z(j) = j**2 - 2. Let x be z(-5). Suppose -18 = 3*g + 3*n + 6, 0 = -g - 4*n - x. Let s(i) = -4*i - 2. Calculate s(g). 10 Let p(t) = t**3 - 4*t**2 - 6*t - 3. Suppose -2*w + 2*i = 2*w - 18, -i - 3 = 0. Suppose 25 = w*f - 5*m, 1 = f - 2*m + 4*m. Determine p(f). -8 Let j be (-9)/270*-5 - 50/12. Let k(u) = -u**2 + 3*u - 2. Give k(j). -30 Suppose -3*t = -19 + 7. Suppose -2*g = 2*d + 6 - 16, -3 = -3*g + 3*d. Let s(l) = 6 - 2 + 5*l**2 - 4*l - l**2 + l**2 - l**g. Determine s(t). 4 Let a(v) = -v. Let d = 3 - 6. Let s(z) = z**2 - z + 1. Suppose 0 = -3*y + m - 8 - 0, -4*m + 17 = 3*y. Let f(n) = d*a(n) + y*s(n). Calculate f(4). -1 Let l be 4/10 - (-18)/30. Suppose -f = 4 + l. Let q(m) = -m - 3. Calculate q(f). 2 Let c = -12 - -13. Let b(t) = 5*t. Determine b(c). 5 Let c be 1/4 - 23/(-4). Let x(r) = 6*r**2 - 240*r + 473*r - 234*r - r**3 + 4. Calculate x(c). -2 Let b(a) = -9*a - 1. Suppose 0*j = -6*j - 6. What is b(j)? 8 Let o(i) = -i**2 - 5*i + 9. Let d(t) = t + 1. Let v(x) = -2*d(x) + o(x). Give v(-7). 7 Let y(d) = d**2 - 4*d + 1. Let a be y(5). Let g(u) = u**3 - 2*u**2 - u**2 - 2*u**2 + 0*u - 5*u + 1. Calculate g(a). 7 Let i(n) = -n**3 - n**2 + n + 22. Suppose 0*p = 6*p - 3*p. What is i(p)? 22 Let h(f) be the second derivative of f**3/6 - 9*f**2/2 + 18*f. Let z be ((-8)/(-1)*-2)/(-1). Suppose 0*a = 4*a - z. Give h(a). -5 Let o(n) = -320 + 320 + n. Determine o(3). 3 Let j(l) = l**2 + 8*l + 2. Let k be j(-7). Let h(y) = -2*y**2 - 12*y. Let o(n) = -n**2 - 6*n. Let i = 14 + -18. Let z(u) = i*h(u) + 7*o(u). Determine z(k). -5 Let t(z) = -z**3 + 5*z**2 + 6*z - 6. Suppose 2*c = -4, -c + 10 = 3*p + 3*c. Give t(p). -6 Let q(m) = -m**2 + 4*m + 2. Let t be q(6). Let b(l) = -l**3 - 10*l**2 - l - 14. Give b(t). -4 Let n(t) = t**3 + 6*t**2 + 6*t - 3. Let d(m) = -11*m - 1. Let q = 9 - 8. Let j be d(q). Let r = j - -7. Give n(r). -8 Let d(v) = v**2 + 10*v - 4. Suppose 0 = 5*x - 5*z + 50, 0 = 2*x + 2*x + 3*z + 26. What is d(x)? -20 Let v(j) = -j**3 + 6*j**2 + 4*j - 7. Suppose 17 = -11*y + 83. Give v(y). 17 Let r = -8 + 4. Let c(k) be the third derivative of -k**5/60 - k**4/3 + 5*k**3/6 - 3*k**2. Let b(a) = a. Let y(d) = 6*b(d) + c(d). Determine y(r). -3 Let n(c) be the second derivative of 1/2*c**2 - 1/3*c**4 + 2*c + 1/6*c**3 + 0. Suppose -5 = 3*z - 2. Calculate n(z). -4 Let n(s) = -3 - 3*s**3 + 3*s**3 - 3*s**3 - 4*s**2 + 4*s**3. Let t = -6 - -10. What is n(t)? -3 Let a(f) = -f**3 + 0*f**2 - 3*f**2 + 4*f - 3*f + f**2. Let c(t) = t**2 - 1. Let u(p) = 2*p. Let i(m) = -c(m) - u(m). Let g be i(-2). Give a(g). -2 Suppose -2*f - 1 = -3. Let n(t) = t**2 - 2 - 2 - f + 3. What is n(-2)? 2 Let k(l) = -l**2 - l + 1. Let o(v) = v**3 - 9*v**2 - 3*v + 3. Let r(f) = 6*k(f) - o(f). Give r(2). 1 Let d(c) = -3*c. Suppose 11 = -3*h + q - 4, 0 = 5*q + 15. Let w = h + 9. Suppose -5*v + 7 = -w. Determine d(v). -6 Let s(c) be the third derivative of c**4/24 - c**3/3 + c**2. Let b be (-30)/(-8) - 9/12. Give s(b). 1 Let o(n) be the third derivative of n**4/4 - n**3/2 + 5*n**2. Let z(r) = -11*r + 6. Let g(b) = 7*o(b) + 4*z(b). Determine g(2). -1 Suppose f - 6 = 3*f. Let u(s) = 0*s + 2*s - s**3 - 1 - 3*s**2 + 5. Give u(f). -2 Let v(k) = -k**2 - k + 1. Let l be v(0). Let o(i) = 2*i + l + 2*i**2 + 4*i**2 - 2*i**2 - 2. Determine o(1). 5 Let v be (8/20)/(2/20). Let h(g) = -5*g**2 + g**3 - 4 + v*g + 2 + 3. What is h(3)? -5 Let j(m) = -m**2 - 2*m. Let q(x) = x. Let g be q(-1). Give j(g). 1 Let q be (-4)/(-14) - (-262)/14. Let h = 13 - q. Let s(d) = -d**3 - 7*d**2 - 7*d - 6. Calculate s(h). 0 Let r(a) = 14*a. Let j(p) = 5*p. Let k(w) = 8*j(w) - 3*r(w). Let q be k(-1). Let x(c) = -c + 2 + 1 + c + q*c. What is x(-2)? -1 Let k(t) = 7 - t + 2*t - 1. Let d(u) = -5*u - 25. Suppose 4*c = -2*x + 14, 3*c + 4*x - 2*x = 10. Let s(j) = c*d(j) + 18*k(j). Give s(6). -4 Let y(m) be the third derivative of m**5/60 + m**4/4 - m**3/6 - 9*m**2. Determine y(-5). -6 Let l(z) = z**2 + 5*z - 2. Suppose 0 = -0*o - 5*o - 25. Determine l(o). -2 Let t(v) = -7*v**2 + 5*v + 3. Let l(q) = 7*q**2 - 6*q - 4. Let g(d) = 4*l(d) + 5*t(d). Let k be 9/11*1 + 78/429. Calculate g(k). -7 Let b(a) = -2*a - 1. Suppose 5*s = -2*j - 13, j = 2*j + 3*s + 9. Let g be (-2)/(-6) + (-20)/j. Determine b(g). 5 Let y(q) = q**3 + 3*q**2 - q - 3. Let w = 60 + -63. What is y(w)? 0 Let y = -19 - -17. Let x(d) = -5*d**2 - d - 1. Determine x(y). -19 Let f(d) = 10 + 0 - 6 + d**2. What is f(0)? 4 Let k(u) = u. Let r(x) = 6*x. Let h = 4 - 8. Let w(v) = h*k(v) + r(v). Calculate w(-4). -8 Suppose -a - 2 = -8. Let q(u) = 433 - 6*u + u**2 - 145 - 147 - 149. Determine q(a). -8 Suppose 18 = -0*l - 3*l. Let s be 24/9 + (-2)/l. Let g(k) =
{ "pile_set_name": "DM Mathematics" }
20)/25)/((-4)/10))/126) 63 What is (((-1110144)/(-5841))/(-224))/(16/6)? -7/22 Calculate 3*1/(-2)*8038/52247. -3/13 What is the value of -1*126*(-80)/16440*137? 84 What is ((-297)/45)/(506506/20020)? -6/23 What is the value of (5700/(-171))/1*(27/(-6))/3? 50 Calculate ((5697/(-2321))/((-4)/44))/1. 27 (-1*(12/9)/(20/6))/((-36)/4770) 53 Evaluate ((-226)/(41358/(-305)))/(3/(-216)). -120 What is the value of 603/1*7220/64980? 67 What is 204*(-46)/(-12512)*(-232)/(-6)? 29 What is the value of ((-49320)/(-1644))/(192/32*1/(-2))? -10 What is the value of -121*116/59972*141? -33 What is the value of (3/(-4))/(21/47488*-32)? 53 What is 3*24/252*18/(-9)? -4/7 (15/(-14))/((-114)/9044*-204) -5/12 What is the value of (((-486)/(-15))/(-3))/(15/200*-4)? 36 Calculate (1982/8919)/(((-36)/(-16))/9). 8/9 (-48)/(-273)*(-13273)/(-4084) 4/7 (4/20*15)/((-89)/((-107334)/(-54))) -67 18/72*(-120)/45*2/1 -4/3 Evaluate ((-706)/66717)/((8/(-9))/8). 2/21 Calculate (24/6136)/(666/(-5772)). -2/59 Evaluate 60*(((-3)/(-2))/(153/51))/17. 30/17 What is the value of ((-64)/144)/(16/6)*6*-22? 22 ((-4)/10*-5)/(10/246*84/70) 41 Evaluate ((-2)/3)/((16/(-58))/(5826/(-28159))). -1/2 Calculate 125*-22*32/1760. -50 (20/(-55))/(70/77) -2/5 What is the value of (((-2)/(-4))/(107/(-428)))/(4/15)? -15/2 (-3*(-70)/(-165))/(11368/(-1313004)) 147 What is (9/24)/((66/55)/(770/(-275)))? -7/8 What is the value of 3/6*-3*7488/156? -72 What is 16*24/1792*(-49)/(-84)? 1/8 What is the value of ((-21)/14)/(18/(-264))? 22 Calculate 120/(-432)*(-27)/(-45). -1/6 (-649980)/6280*(-4)/45 46/5 Calculate (-1*8/6)/(((-15)/(-54))/(146400/5760)). -122 Evaluate (2816/(-240))/8*(-1)/(11/6). 4/5 Evaluate (-410940)/22830*(-1)/((-2)/(-1)). 9 48/(-56)*(-154)/(-2552) -3/58 Calculate (-1)/51*-21*(-80)/(-280). 2/17 Evaluate (-17145)/(-889)*(-112)/48. -45 What is the value of 122*79/144570*-1305? -87 Calculate ((-15000)/240)/25*((-1)/(-5))/(4/376). -47 What is the value of ((-312)/(-57200)*110)/((-297)/(-10))? 2/99 What is (-28)/(-35)*(-305250)/(-3300)? 74 What is the value of (7/84)/(448/(-6720))? -5/4 Evaluate 2*-3*(-261)/(-58). -27 What is 35192/96778*(-154)/(-2)? 28 Evaluate (46787/236)/(-61)*-4. 13 Evaluate (117/(-27))/(-16*(-22)/(-528)). 13/2 What is ((-2)/((-150)/(-3)))/((-567)/945)? 1/15 33*(((-1032)/(-32))/43)/((-18)/(-8)) 11 Evaluate (-2)/(((-8)/330)/(464/1160)). 33 What is 3/(-1)*(-129952)/12183? 32 What is ((-4)/((-60)/(-351)))/(((-6741)/(-1070))/(-21))? 78 Calculate (-3*(-2)/(-12))/(((-1235)/312)/(-95)). -12 Calculate 936/(-252)*(-896)/832. 4 Calculate (1/(5/48))/(27632/(-6280)). -24/11 Calculate ((-31)/(2015/(-26)))/(8/((-6200)/(-5))). 62 What is 42/238*(-4)/6*(279/6)/31? -3/17 What is 1/(((-19936)/(-192))/(301/129))? 2/89 What is the value of (-81)/(1701/(-210))*36/110? 36/11 Evaluate ((-22)/33)/((-23)/(-46)*40/(-6)). 1/5 Calculate ((-350)/(-25)*-5*(-44)/(-3850))/((-44)/(-30)). -6/11 Calculate (-121)/(-110)*1*(-255)/935. -3/10 3/((4/(-48))/(-3*(-12)/144)) -9 What is the value of 4/(-85)*(-11895)/(-4758)? -2/17 What is the value of (36/702)/(((-36)/108)/(2/12))? -1/39 3650/365*(-1)/(-3)*(-3)/22 -5/11 Evaluate (6/(-30)*21/(-7))/((-52)/364). -21/5 What is -3*4/24*17*38/(-76)? 17/4 What is 3*8/10*1485/24948? 1/7 What is ((-129)/6)/(3800/4750*(-5)/8)? 43 (11/((-627)/(-270)))/(1905/24130) 60 ((-19)/((-95)/(-15)))/(84/1008) -36 What is 8/(-18)*6*350/(-25375)*-261? -48/5 193/(102290/4134)*1*-1 -39/5 Calculate (51/(37179/540))/((-22)/(-33)). 10/9 What is ((-18)/24)/((-61)/((-7564)/155))? -3/5 (-56*12/(-2052)*-19)/(14/63) -28 What is the value of 385/(-10)*3*(-8)/(-36)*(-66)/22? 77 Calculate ((-7)/21)/((-1*(-16)/(-384))/((-3)/(-1))). 24 What is the value of 345436/9198*(-2)/(-26)? 26/9 16/(144/(-27))*218/(-53628) 1/82 Evaluate (2/(-2))/(100/(-129150)*21*6/4). 41 Evaluate ((-1332)/(-37))/2268*36/3. 4/21 Calculate (-44)/748*(-2261)/665. 1/5 Evaluate (-6)/5*(1963500/180)/(-187). 70 ((-2)/5)/(4791/(-1581030)) 132 What is (27/(-48)*(-11932)/(-471))/(((-6)/8)/3)? 57 Evaluate 5/(-20)*3*19/(-1197)*8. 2/21 Evaluate (25*(-5)/475)/(50/20). -2/19 What is (-3*(-4)/7)/(97/(-3395))? -60 Evaluate ((-14)/(-27)*3780/1680)/(98/231). 11/4 What is (-3520)/(-128)*434/1705? 7 What is the value of ((-1)/(342/63))/(210/(-120))? 2/19 ((-21)/9)/(3346/65964) -46 (16/6)/(2808/17901) 17 (-7*60/112)/(210/(-96)) 12/7 What is ((-190)/(494/(-26)))/(21/((-6)/(-2)))? 10/7 Calculate 1/(90/200)*-126*((-60)/21)/10. 80 What is the value of (-122)/122*-3*4/1050*5? 2/35 25/(6650/931)*22/56 11/8 What is the value of (78/10)/(((-19)/114)/((-16)/(-144)))? -26/5 (20922/1902)/((3/(-2))/(-3)) 22 ((-113)/(2486/1848))/((-3)/6*2) 84 Calculate (-2)/(64/(-72))*-51*31/((-4464)/(-128)). -102 ((9856/21)/16)/(22/(-1782)*27) -88 Evaluate (2/(-10))/(37191/(-16905)). 1/11 What is the value of (-1204)/21*-4*30/(-160)*-2? 86 5*119/170*(-78)/39*(-24)/(-14) -12 Evaluate (783/870*1870/(-51))/((-5)/(-1)). -33/5 What is the value of (-7)/((-140)/85)*(-1778)/(-4318)? 7/4 What is (209720/(-210))/((-2688)/288)? 107 Calculate (54/(-12)*212/530)/((-78)/40). 12/13 What is the value of ((-1001)/182*63/(-33))/(1/2)? 21 What is ((70143/(-206))/(-227))/((-6)/(-136))? 34 What is (20541/(-34235))/(-1*9*8/(-120))? -1 (-120)/(-18)*(-414)/(-138) 20 Calculate ((-3)/(-24))/(-275*36/(-720))*10/8. 1/88 What is the value of ((-1760)/(-2640))/(((-35)/7)/165)? -22 What is the value of (-3*6/(-8))/(-123*(-144)/684864)? 87 What is the value of (-26)/2*3/(-45)*-3*1734/(-867)? 26/5 What is ((-102)/255)/(170/18275)? -43 Evaluate (263/(-2630))/((-414)/(-45)). -1/92 Calculate 1/(37/(25789/51)*3/(-9)). -41 (193/((-102676)/(-1368)))/((-6)/(-14)) 6 (((-110)/77)/(30/(-14)))/(((-192)/(-20))/8) 5/9 What is (6/(-135)*-1)/(14/15*(-2628)/(-2044))? 1/27 What is 88/(-6)*(-38223)/(-16988)? -33 Calculate (-14900)/156450*490/(-8). 35/6 Calculate (-26*3)/((-44)/(-8)*336/(-924)). 39 Evaluate ((-170)/102)/(3/(-9))*1/6. 5/6 What is the value of ((4590/(-100))/9)/(5/(-1)*41/1025)? 51/2 Calculate ((-102465)/(-30))/69*2/18. 11/2 What is the value of (56/(-8))/(((-2)/4)/((-49)/(-98)))? 7 6/((-2)/(120/12)*1*10/2) -6 Evaluate 252/(-189)*(-10)/(-3)*(-18)/(-48). -5/3 Calculate (30/(-480)*-16)/((3/(-37))/3). -37 Evaluate ((-9174)/(-1251))/(110/2235). 149 Evaluate ((-1)/120)/(1330/(-29925)). 3/16 What is 8/(-706)*(-2)/8*(-3)/102*-68? 2/353 What is the value of 2*(-670)/(-804)*(-4)/22*9/(-10)? 3/11 Evaluate (4*99/6)/((63/(1890/80))/4). 99 Evaluate 1/(-52)*75/(12375/220). -1/39 What is the value of ((-36224)/45280)/((8/430)/2)? -86 448/(-2352)*2261/(-136) 19/6 Calculate 4*(-66)/(-2)*1/(-40*(-4)/160). 132 Evaluate (2/13)/((-1249)/(-389688)). 48 Evaluate (380/40)/(5*(-4)/(-180))*(-58)/(-261). 19 What is (-4284)/(-51)*2*2/8*12/6? 84 (140/(-56)*1)/(((-5)/(-5)*1)/2) -5 135/15*47*208/21996 4 Calculate 13*(-1)/6*9572/7179. -26/9 Evaluate ((-2499)/204)/(30*(-18)/(-2160)). -49 What is the value of (-205834)/2122*((-2)/2)/(-1)? -97 What is the value of (-2)/165*(-3)/((3813/155)/41)? 2/33 ((-160)/(-7))/((496/(-1364))/(14/11)) -80 Calculate ((-105)/336)/((27/(810/(-100)))/(8/6)). 1/8 (((-10)/(-2))/470)/(65/130) 1/47 Calculate ((-1)/(-2))/((((-2754)/(-144))/51)/(45/(-4))). -15 What is the value of ((-8)/(52*132/572))/(((-780)/(-9))/(-5))? 1/26 ((-3080)/6720*(-2)/11*18)/((-89)/2) -3/89 What is ((-70)/21*51/68)/(((-5)/28)/(-5))? -70 (32/1008)/(20/3360*-6) -8/9 Evaluate 238/(-3)*((-12)/28)/1. 34 What is (-5*(-15)/(-1350))/(-1*((-91)/56)/13)? -4/9 Evaluate ((-6)/(-21))/((942552/(-532))/(-159)). 1/39 Evaluate (74/(-10656)*-36)/((38/(-16))/1). -2/19 What is 57/((-21660)/(-1064))*(-1)/((-35)/200)? 16 What is the value of 246/(-3)*1026/228*6/(-54)? 41 Calculate ((4/(-10))/1)/(7838/372305). -19 What is the value of (3/(-54)*-6)/(((-11)/2860*4)/3)? -65 What is (58/(-29))/(2/((40/(-44))/5))? 2/11 What is (16/3*3)/((672/280)/((-4)/10))? -8/3 ((-8)/(-420)*5)/((-1996)/(-3493)) 1/6 Calculate (-3042)/(-351)*(-78)/26. -26 Calculate (-264)/21*(-390012)/51073. 96 Evaluate (((4/2)/(-42))/(9/(-27)))/((-1944)/1512). -1/9 ((-2)/(-20))/((-440)/200)*(-188)/(-94) -1/11 Calculate (174/(-1131))/(40/325). -5/4 What is the value of (56/(-420))/(44/55)*(-1236)/2? 103 Evaluate 55/((-4840)/48)*187/(-17). 6 What is the value of 16/((-64)/(-100))*(-480)/400? -30 What is the value of
{ "pile_set_name": "DM Mathematics" }
+ 3. Let t(z) = -5*z**3 - 4*z**2 - 22*z + 4. Give f*d(x) - 3*t(x). -x**3 - 18*x Let o(z) = 51*z**3 - 11*z**2 - 4*z. Let h(n) = -7*n**3 - n**2 - n. Give 4*h(t) - o(t). -79*t**3 + 7*t**2 Let c(o) = -4414*o**3 - 6*o**2. Let d(j) = -4414*j**3 - 7*j**2. Determine 7*c(x) - 6*d(x). -4414*x**3 Let j(w) = -45*w**3 - 6*w**2 + 6*w + 6. Suppose -59*k + 8*k - 14*k + 390 = 0. Let y(v) = 45*v**3 + 5*v**2 - 5*v - 5. Calculate k*y(r) + 5*j(r). 45*r**3 Let o(t) = -t**2 - t + 13. Suppose -5*m = -v + 35 + 4, -4*v = 4. Let d(u) = -u**2 - u + 20. Calculate m*o(q) + 5*d(q). 3*q**2 + 3*q - 4 Let d(j) = -5160*j**3 - 25*j**2 + 50*j. Let y(f) = 430*f**3 + 2*f**2 - 4*f. Give 2*d(o) + 25*y(o). 430*o**3 Let r(j) = 3*j - 6. Let q(h) = -1 + 3 + 0 + 0 - h. Suppose 1293*w = 1290*w + 21. Let p = -9 + 11. Calculate p*r(i) + w*q(i). -i + 2 Let x(k) = -2*k**2 + 2*k + 1. Let h(j) = j**2 - j. Suppose 0 = -7*u + 12*u - 260. Suppose -12 = 5*n - u. Let f be (21/7)/(((-30)/n)/5). Give f*h(b) - x(b). -2*b**2 + 2*b - 1 Let z(y) = 9*y**3 + 4*y**2 + 6. Let f(j) = 11*j**3 + 5*j**2 + 7. Let s(m) = -5*f(m) + 6*z(m). Let o(q) = -3*q**3 - 2*q**2 - 2*q + 4. Give -o(t) + 2*s(t). t**3 + 2*t - 2 Let j(w) = 5*w + 12 + 10 - 10 - 4. Let d(c) = -26*c - 40. Give 2*d(u) + 11*j(u). 3*u + 8 Let q(c) = 107*c**3 + 2*c**2 - c + 9. Let t(o) = -106*o**3 - 2*o**2 - 6. Calculate 2*q(b) + 3*t(b). -104*b**3 - 2*b**2 - 2*b Let x(g) = -9*g. Let f(m) = 1468*m - 1. Give -f(h) + 7*x(h). -1531*h + 1 Let s(j) = -307*j + 62. Let k(w) = -305*w + 55. Determine 7*k(n) - 6*s(n). -293*n + 13 Let b(v) = 2*v**2 + 6*v - 1. Let d(w) = -291 + 888 - 298 - 298. What is b(x) - d(x)? 2*x**2 + 6*x - 2 Let u(n) = n**2 + 5*n - 8. Let f be u(-6). Let g be (-41 - 5)*-3 - 0. Let y(t) = -72*t + g*t - 3 - 71*t. Let k(o) = -4*o - 2. What is f*y(q) + 3*k(q)? -2*q Let u(z) = 9 + 2 - 10 - 2 + 2. Let c(g) = -4*g + 4. Determine c(r) - 4*u(r). -4*r Let u(r) = -r - 22. Let v(w) = 15*w - 99. What is -3*u(z) + v(z)? 18*z - 33 Let z(j) = j - 4*j**2 + 249 + 217 - 453 + 0*j. Let p(v) = -3*v - 133 + v + 121 + v + 3*v**2. What is 6*p(s) + 5*z(s)? -2*s**2 - s - 7 Let b(f) = -2*f + 1. Suppose 0 = 202*r - 179*r - 253. Let w(d) = -6*d - d + 4*d - d + 2. What is r*b(v) - 6*w(v)? 2*v - 1 Let j(q) = 899*q**2 + 18*q - 322. Let p(h) = 150*h**2 + 3*h - 55. Determine 6*j(y) - 35*p(y). 144*y**2 + 3*y - 7 Let y(z) = -43*z**3 - 9*z**2 + 15*z + 5. Let r(h) = -22*h**3 - 4*h**2 + 6*h + 2. Give 5*r(w) - 2*y(w). -24*w**3 - 2*w**2 Let u = 15 - 21. Let v(f) = -7*f**2 - 7*f - 8. Let b(t) be the first derivative of -20/3*t**3 - 23*t - 10*t**2 - 118. Give u*b(m) + 17*v(m). m**2 + m + 2 Let y(c) = -105*c + 238. Let j(h) = 21*h - 44. What is 16*j(u) + 3*y(u)? 21*u + 10 Let s(j) = -4*j**3 - 8*j**2 - 3. Let c(n) = -13*n**3 - 24*n**2 + n - 10. Let x = 5601 + -5603. Calculate x*c(w) + 7*s(w). -2*w**3 - 8*w**2 - 2*w - 1 Let j(x) = -13*x**2 - 11*x + 9. Let k(c) be the third derivative of c**5/10 + 5*c**4/24 - 2*c**3/3 + 93*c**2. Determine 3*j(m) + 7*k(m). 3*m**2 + 2*m - 1 Let b(q) = -24*q**2 - 21*q + 4. Let l(t) = -10*t**2 + t + 1. What is b(p) - 4*l(p)? 16*p**2 - 25*p Let q(b) = -6*b**3 + 440048*b - 440037*b + 2*b**3 + b**2. Let s(t) = -2*t**3 + 5*t. Determine -2*q(x) + 5*s(x). -2*x**3 - 2*x**2 + 3*x Let b(w) = 19*w**3 + 23*w**2 - 30*w + 9. Let o(m) = -9*m**3 - 11*m**2 + 12*m - 4. Give -2*b(q) - 5*o(q). 7*q**3 + 9*q**2 + 2 Let s(v) = 12*v**3 + 14*v + 8. Let k(b) = -111*b + 207*b + 48 - 101*b - 51 - 4*b**3. Suppose -6 - 18 = 3*u. Give u*k(l) - 3*s(l). -4*l**3 - 2*l Suppose t + 17 = 2*z - 7*z, -25 = 5*z + 5*t. Let g(l) be the second derivative of -l**4/4 - l**2 - 133*l + 1. Let a(x) = -4*x**2 - 3. Calculate z*g(h) + 2*a(h). h**2 Let b(r) = r - 1. Let j(c) = 6*c. Suppose 0 = -17*h + 31*h - 140. Suppose 0 = -2*t - h. Determine t*b(k) + j(k). k + 5 Let o(c) = -5*c + 3. Let r(f) = 9*f + 7. Suppose 4*a - 21 = 5*l, -4*a + 11 = -0*l + 5*l. Let b be r(l). Let w(u) = -5*u + 4. Give b*w(p) + 3*o(p). -5*p + 1 Let x(o) = -7*o**3 - 7*o**2 - 7*o - 6. Let t(a) = a**3 + a**2 + a + 1. Let v(u) = 60*u - 2101. Let m be v(35). Give m*x(q) - 5*t(q). 2*q**3 + 2*q**2 + 2*q + 1 Let c(u) = u + 8. Let a = -169 + 168. Let n(b) = -5 + 9 + 1 - 6. Give a*c(t) - 5*n(t). -t - 3 Let s(f) = 5*f**2 - 3*f. Let x(l) = 257*l**2 + 16*l. Determine -10*s(y) - 2*x(y). -564*y**2 - 2*y Let c(w) = -4*w**2 - 11. Let x(f) = 313. Let p(v) = 57. Let r(l) = -11*p(l) + 2*x(l). Determine c(h) - 6*r(h). -4*h**2 - 5 Let r(l) = 44*l**3 + 4*l**2 + 44*l. Let x(u) = 36*u**3 + 3*u**2 + 43*u. Calculate -3*r(t) + 4*x(t). 12*t**3 + 40*t Let i(q) = q**3 + 8*q**2 - 7*q + 19. Let d be i(-9). Let y(t) = t. Let h(f) be the first derivative of -f**2/2 + 54. Determine d*y(x) + 6*h(x). -5*x Let m(r) = 6*r + 15. Let s(g) be the first derivative of 3*g**2/2 + 8*g - 6736. Determine -2*m(h) + 5*s(h). 3*h + 10 Let b(m) = 9*m**3 + 5. Let l(r) = 57858*r + r**3 - 115725*r + 57867*r. Determine b(n) - l(n). 8*n**3 + 5 Let q(y) = 6*y**2 + y - 1. Let v(a) = 3713*a**3 + 66834*a**2 + 11139*a - 11139. Calculate 11139*q(p) - v(p). -3713*p**3 Let v(a) = 11*a**2 + 8*a + 195. Let n(p) = -19*p**2 - 14*p - 388. Give -4*n(o) - 7*v(o). -o**2 + 187 Let n(o) = 31*o**3 - 54*o**2 + 5*o + 2. Let d(g) = -62*g**3 + 94*g**2 - 9*g - 3. Determine -4*d(r) - 7*n(r). 31*r**3 + 2*r**2 + r - 2 Let a(b) = -39*b + 2552. Let y(q) = 31*q - 2550. Calculate 4*a(h) + 5*y(h). -h - 2542 Let b(r) be the third derivative of -5*r**4/12 + 35*r**3 - 779*r**2 + 2. Let g(a) = -2*a + 42. Determine 3*b(p) - 14*g(p). -2*p + 42 Let s(v) = -v - 1. Let d(j) be the second derivative of 32*j**3/3 + 16*j**2 + 3291*j. Determine -d(o) - 32*s(o). -32*o Let a(f) = -24*f - 1. Let i be (-13 - 1767/(-133)) + 23/(-7). Let o(x) = -47*x - 2. Determine i*o(u) + 5*a(u). 21*u + 1 Let a(g) = -g - 1. Let o(s) = 25 + 1 - 68 - 49*s. Let x be -31 + 76 + (-6)/2. Give x*a(r) - o(r). 7*r Let c(q) = 13*q**3 - q**2 - q - 4. Let p(l) be the second derivative of 7*l**5/20 - l**4/12 - l**3/6 - l**2 + 2709*l. Determine 3*c(w) - 5*p(w). 4*w**3 + 2*w**2 + 2*w - 2 Let d(q) = 35*q**3 - 11*q**2 + 6*q - 142. Let l(v) = 13*v**3 - 4*v**2 + 2*v - 47. Determine 4*d(r) - 11*l(r). -3*r**3 + 2*r - 51 Let w(g) = 20*g + 10. Let s(t) = -60*t - 28. Let z(c) = 2*s(c) + 7*w(c). Let y(j) = -j - 1. Determine 12*y(l) + z(l). 8*l + 2 Let v(h) = 1. Let w(s) = -24*s**2 - 10*s + 16. Let b(a) = 19*a**2 + 9*a - 14. Let y(i) = -5*b(i) - 4*w(i). Determine -4*v(r) + y(r). r**2 - 5*r + 2 Let x(v) = -2*v**2 + 3625. Let h(j) = -2*j**2 + 3629. Give 7*h(c) - 6*x(c). -2*c**2 + 3653 Let r be (-28)/(-3) + (7 - -20*35/(-84)). Let h(u) = 3*u**3 + 8*u**2 - 8*u - 67. Let a(l) = l**3 + 3*l**2 - 3*l - 22. Determine r*a(p) - 3*h(p). -p**3 + 25 Let l(v) = -8*v**2 - 6*v - 7*v**2 + 4*v**2 + 5*v**3. Let n(j) = 91*j + 1725. Let q be n(-19). Let g(u) = -14*u**3 + 32*u**2 + 17*u. Give q*g(a) - 11*l(a). a**3 - 7*a**2 - 2*a Let o(m) = -4*m**3 - 5*m**2 - m - 8. Let j(f) be the third derivative of -f**6/120 - f**5/30 - f**3/2 - 322*f**2 - 2. What is -8*j(i) + 3*o(i)? -4*i**3 + i**2 - 3*i Let y(q) be the first derivative of 4/3*q**3 + 110 + 0*q - 3/2*q**2. Let h(i) = 17*i**2 - 13*i. Let l be (2 + -3)/(-1) - 7. What is l*h(x) + 26*y(x)? 2*x**2 Let i(j) = 119*j**3. Suppose -4*a = -4*n - 280, -4*a - 3*n + 256 = -n. Let r(p) = -16*p**3 - 66*p**2 + 2*p**3 + a*p**2. Calculate -5*i(y) - 42*r(y). -7*y**3 Let b(o) = -48*o**2 + 13214*o - 18. Let j(w) = -11*w**2 + 3304*w - 4. Calculate -2*b(c) + 9*j(c). -3*c**2 + 3308*c Let h(m) = -9*m**2 + 5*m - 11. Let n be (8 + -11 - -5)*(-5 - -4). Let y(r) = -4*r**2 + 2*r - 5. Determine n*h(t) + 5*y(t). -2*t**2 - 3 Let g(k) = 9*k**3 + 44*k - 8. Let m(t) = 35*t**3 + 188*t - 33. Calculate 17*g(a) - 4*m(a). 13*a**3 - 4*a - 4 Suppose 5*x + 640 = -3*b, 0*x + 128 = -x - 2*b. Let d be 14*(x/(-56) - 2). Let k(a) = 7*a + 4. Let l(i) = -6*i - 3. Calculate d*k(z) + 5*l(z). -2*z + 1 Let k(z) = 4*z**3 + z**2 - z - 4. Let d(m) = -11*m**3 - 3*m**2 + 5*m + 1189. What is d(y) + 3*k(y)? y**3 + 2*y + 1177 Let y(m) = 104*m - 17. Let v(b) = 91*b - 16. What is -6*v(s) + 5*y(s)? -26*s + 11 Let u(r) = 8*r**3 - 116*r**2 + 6*r. Let c(l) = -l**3 - l. Calculate -7*c(f) - u(f). -f**3 + 116*f**2 + f Let i(v) = -12*v**3 - 2. Let o(u) = -4*u**3 - 1. Let n(d) = -d**2 - 10*d - 6. Let j be n(-10). Determine
{ "pile_set_name": "DM Mathematics" }
and c. 40 Suppose -4*v + 16 = 4*m, 5*v - 4*m + 9 = 65. Let i = v - 13. Let k = 1 - i. What is the lowest common multiple of k and 18? 18 Suppose 0 = -3*i - 8 + 134. Calculate the common denominator of (-22)/(-8)*(-364)/i and 1/5 + (-993)/240. 48 Suppose 10*g - 2*c = 15*g - 950, -g + 5*c + 217 = 0. Calculate the least common multiple of 168 and g. 1344 Let u be 5/(-55)*4957/1. Let q = u + 451. Let m = -5790/7 - -824. What is the common denominator of m and q? 77 Suppose 24 = -3*n + 66. Let i = 14 - n. Suppose 0 = 5*d - x - 52, i*d + x = -d + 8. Calculate the smallest common multiple of 20 and d. 20 Suppose -4*v = 4*v + 5216. Let o be (-3)/(-7) + 137465/(-210). Let m = o - v. Calculate the common denominator of 93/10 and m. 30 Let a(v) = 4*v + 8. Let j be a(-3). Calculate the common denominator of (j/16*-13)/(18/(-8)) and -77/15. 45 Let o be (-1)/(-10)*(-2721)/(-18). Let r = -19/30 - o. Let w(j) = j - 1. Calculate the common denominator of w(2) and r. 4 What is the common denominator of 2*(2/(-9) + (-782)/(-144)) and 47/60? 60 Let c = 368974/17 + -88642483/4080. Let a = c - -419/15. Let m = 91543/8450 - 2/12675. What is the common denominator of m and a? 48 Let q(x) = 57*x**3 + x**2 - 8*x + 6. Let t = -2 + 4. What is the lowest common multiple of q(1) and t? 56 Let z = 9827/6 - 1653. What is the common denominator of -127/30 and z? 30 Let y = -99 + 111. What is the least common multiple of 15/3*340/25 and y? 204 Let z(d) = -2*d**2 - 10*d + 10. Let p be z(-6). Find the common denominator of (183/9)/((-10)/(-6)) and (-5*6/(-45))/(p/129). 5 Let n be 43096/(-8)*(1 - 2). Let u = 64691/12 - n. What is the common denominator of (-505)/(-60)*(0 - -2) and u? 12 Suppose 2*t + 5*c = 116, -7*c + 174 = 3*t - 2*c. Suppose t + 164 = 4*y + 3*f, 4*f = 8. What is the least common multiple of 4 and y? 108 Let f(b) = -b**3 + 18*b**2 + 42*b - 13. What is the least common multiple of f(20) and 23 - (1 - (-3 + 4) - 1)? 216 Let r = -5629/843 - -3/281. Let m be 42/(-35)*(-70)/3. What is the common denominator of (-11 - -5)/(18/m) and r? 3 Let g = 109267/3300 + -3009/110. Let i be ((-1)/(-24))/(3/426). Let d = i - g. Calculate the common denominator of d and 40/11. 275 Let c be 1/2 - -25*5/(-410). Let y = c + -589/287. Find the common denominator of -7/11 and y. 77 Let v be (17 - 19) + (-482)/33. Let n = v + 7/66. Find the common denominator of n and -10. 2 Let l be 4/46*(-6)/(6/(-127)). Let b = -5281/322 + l. Calculate the common denominator of b and 0 + 123/10 - 2. 70 Let z = -7 + 12. Suppose z - 30 = -5*c. Let n(p) = p - 24. What is the lowest common multiple of c and n(28)? 20 Let r = 52177/5 - 10394. Let j = -39 + r. Find the common denominator of 13/2*(-4)/22 and j. 55 Suppose 14 - 14 = g. Find the common denominator of -107/18 and g + 1036/(-256) + 4. 576 Suppose 633 = 18*x + 93. Calculate the least common multiple of 9 and x. 90 Calculate the smallest common multiple of (-72)/(-5) - (-27)/(2025/(-30)) and (-8)/(-10) - (-576)/30. 140 Let z be -144*(-1 - 0) - 0. Let q = -2/18183 + -183849/12122. Find the common denominator of q and 12/18 - 141/z. 48 Let i(q) = 5*q - 1 - 2*q - q + q**2. Let b be i(-3). Find the common denominator of 117/10 and 335/10*b/(-4). 20 Let q be (-6)/8 + (-1)/(-8)*-2. Find the common denominator of (-415)/(-22)*q/5 and -73/6. 66 Let t(j) = -j**3 - 47*j**2 - 88*j + 135. What is the smallest common multiple of t(-45) and 190? 1710 Let c = 353/36 + -50/9. Calculate the common denominator of c and -43/44. 44 Suppose 4*b - 5*k = 832, -k + 1481 - 441 = 5*b. What is the smallest common multiple of b and 22? 2288 Let b be ((-11)/(99/12))/(1726/(-3)). Let r = b - -61267/2589. Find the common denominator of r and 26. 3 Let m(x) = x**2 + 10*x + 61. Calculate the smallest common multiple of m(-5) and 99. 396 Let y(i) = i**3 - 7*i - 13. What is the lowest common multiple of y(8) and 9? 3987 Let m(i) = -14*i - 18. Let s be m(-3). Find the common denominator of -5 - -3*43/s and 19/18. 72 Let a be 17/6 - 4/12. Let y be (-249)/(-8)*7/(-21). Let g = y + a. What is the common denominator of g and 137/30? 120 Let y be 240247/59616*2 + -2. Let k = y - -5/1863. Let q = 57725/14 + -4118. Find the common denominator of q and k. 112 Let b = 18 - 14. Suppose -5*d - 25 = -b*h - 0*h, -4*d = -12. Calculate the common denominator of h/(-16)*29/10 and 57/22. 176 Let n = 75488749/380 + -198665. Let k = n + 227/19. Find the common denominator of -9 - -6 - 122/(-8) and k. 20 Find the common denominator of 3038/(-124)*2/(-16) and 286/72 + (-6)/27. 16 Let r = -342815/293 - -1170. Let p = 8467/1758 - r. What is the common denominator of p and -51/7? 42 Let v(i) = -i**3 - 46*i**2 + 97*i + 138. What is the least common multiple of v(-48) and 6? 90 Find the common denominator of -113/60 and (-4)/16 + (-217)/7224*-14. 2580 Let s = 1072/11 + -9093/88. Calculate the common denominator of s and 2*((-74)/16 + 1). 8 Suppose -5*s - 83*p + 22 = -82*p, 5*p = 5*s - 10. What is the least common multiple of 2374 and s? 4748 Suppose -6*t + t + 4*y = -12, 4*y = t - 12. Suppose -d + 5 = t, 3*q + 2*d - 5 = 4*d. Suppose q*r = 111 - 1. What is the lowest common multiple of 30 and r? 330 Let r(q) = -17*q + 569. What is the lowest common multiple of 22 and r(-11)? 8316 What is the common denominator of (-11 - (-1845)/165) + (-2111)/1386 and -113/616? 5544 Suppose -15*m + 4 = -13*m. Suppose -632 - 122 = -m*o. What is the common denominator of 81/8 and o/(-60) + (-3)/(-9)? 40 Let m = -88701/16 - -5546. Calculate the common denominator of (4 - (-51)/(-12))*(-267)/3 and m. 16 Let d(u) = -24*u - 198. Calculate the least common multiple of d(-16) and 15. 930 Calculate the common denominator of 31/11 and 0 + ((-36)/(-84))/((-20)/42). 110 Let i be 3/793434*561514874/540. Let q = i - 26/132239. Let y = 2/135 - q. Find the common denominator of -17/12 and y. 12 Let x be (-15)/(-4)*(-2 - 0)*2. Find the common denominator of ((-1)/(-2))/((-5)/(-29)) and (x/(-35))/((-32)/(-28)). 40 Let z = 92680723/42 + -2206221. Let n = -12234/7 + z. Let c = n + 1296. Calculate the common denominator of 91/12 and c. 12 Suppose s - 16 = 4*h, -h - 2*s - 7 = -3*s. Let p be -3 + h + (-3580)/(-594). Let j = -643/594 + p. What is the common denominator of j and 151/6? 18 Suppose -3*b + 21 = -0*b. Suppose 2*v + 2*v = 0. Let c = v + 10. What is the smallest common multiple of c and b? 70 Suppose 0 = 2*y + 4*h + 20, -5*y - 5*h = -0*y + 25. Suppose -4 = -0*k - k - 2*i, 4*k - i - 16 = y. What is the lowest common multiple of k and (6/12)/(2/20)? 20 Suppose -4*u - 24 = -8*u. Suppose 152 = -3*f - 4*k, u*k + 244 = -5*f + 4*k. Let t = 68 + f. What is the least common multiple of t and 46? 460 Let y = 59 - 54. Suppose 17 = 4*n + y*g, -4*n - 2*g = -5*g - 41. Calculate the lowest common multiple of (7/3 + -1)*3 and n. 8 Let q = -60 + 65. Suppose -o = -2*i + 19, -q*i + 67 = 4*o - 0*o. What is the lowest common multiple of 3 and i? 33 Suppose -4*n - 3*j = 3, 17 + 4 = -5*n + 2*j. Let p(i) = 4*i + 19. Let v(z) = z**3 + 5*z**2 - 5*z + 7. Calculate the smallest common multiple of v(-6) and p(n). 7 Let k(w) = -w**3 + w**2 + 7*w - 15. Let s be k(7). Let b = s + 152. Find the common denominator of 55/4 and (-213)/b + 9/12. 36 What is the common denominator of -44/9 and (-878)/252 + 30/12? 63 Let q be (-6)/9 + (-62722)/(-94092). Let p = 1089893/94092 - q. Find the common denominator of 2/45*5/4 and p. 36 Let l(r) = -r**3 + 5*r**2 + 11*r - 23. Let y be l(7). Let z = y - -53. Calculate the smallest common multiple of z and 6. 18 Suppose 2*a = -y + 7, 4*a + 3*y - 17 = 4*y. What is the smallest common multiple of a and 244? 244 Let a be (-1 + 4 + -3)*-1. Find the common denominator of 1089/(-180) - (a + 0) and -5 - (3 + 78/(-60)). 20 What is the common denominator of -3 + (6 - 2) - 312/105 and 22/5? 35 Let k = 10 + -1. Suppose 12*q = 14*q - 5*d - 25, 3*q = d + 44. What is the least common multiple of q and k? 45 Let o = -74221/10 - -7414. Let w = -1016 + 7081/7. What is the common denominator of w and o? 70 Let m = -187 + 6910/37. Find the common denominator of 79/8 and m. 296 Suppose a + 31 = 3*c, -a + 31 + 34 = 5*c. Let t = 45 + -18. Calculate the lowest common multiple of c and t. 108 Let r = -31245733/414 + 75473. Calculate the common denominator of -
{ "pile_set_name": "DM Mathematics" }
9))? 9 What is the value of 4*(28/7 + -5)? -4 Evaluate (4/(-28))/((-80)/(-70) - 2). 1/6 -14*-7*9/126 7 What is -7*4/(-28)*12/3? 4 Evaluate (3/6)/(14/12). 3/7 What is 76/48 + (-80)/64? 1/3 Evaluate 9/(-195) - (-2 - (-168)/78). -1/5 What is the value of ((-18)/(-21))/(4 + -7)? -2/7 44/(-9) + 1*13/(-117) -5 Calculate 480/576 - 2/4. 1/3 Evaluate 48/(-108) - ((-5)/(-9) + -3). 2 Calculate -2 + (7 + -4 - 1). 0 Calculate ((-1)/(-2))/(-4 - 33/(-22)). -1/5 1 + 8/14 + 12/28 2 (-5 - 33/(-6))/((-7)/(-84)) 6 (-224)/(-784) + 37/(-7) -5 (-2 - (-22)/12)/(30/20) -1/9 What is the value of (-38)/513*18*1/2? -2/3 What is the value of (7 + (-1 - 2))/((-16)/(-12))? 3 Calculate (4/(-18))/(-1) + 845/(-117). -7 ((-21)/(-4))/(-1)*(-192)/144 7 What is ((-13)/(-104))/((-7)/14)? -1/4 What is the value of (-4)/62 - 8008/2728? -3 (-72)/105 + (-8)/(-28) -2/5 (22/4 + -6)*-4 2 Calculate (1 - 52/20)*(-4)/48. 2/15 What is the value of ((-2)/(-3))/((-255)/153)? -2/5 What is the value of 0 + 78/(-21) + (4 - 0)? 2/7 What is 81/702*4/(-6)? -1/13 Evaluate (3/34)/((-12)/16). -2/17 Calculate (-96)/108 + 8/12. -2/9 What is the value of 68/(-42) - ((-10)/(-6) + -3)? -2/7 Evaluate (-42)/252 + 4/6. 1/2 What is 34/51 - (1/1 - 1)? 2/3 What is the value of 8/(-24) + (-11)/(-15)? 2/5 What is 5/(15/12) + (-136)/40? 3/5 Calculate -1 + -8 + 70/8. -1/4 Calculate (-2)/(-3) - 28*(-7)/(-42). -4 What is the value of (-2)/(4 - (-1)/1)? -2/5 (-8)/(8 - 32)*-1*18 -6 Calculate ((-45)/(-30))/(9/(-12)). -2 What is the value of (-6*(2 + (-14)/6))/(-2)? -1 Calculate (-56)/(-105)*(6/8 + 0). 2/5 (0 + 9/5)*(-35)/(-21) 3 What is the value of (-70 - -72) + 0/(-1)? 2 39/(-33) + 1 - (-3317)/(-1177) -3 Evaluate ((-40)/150)/(6/18). -4/5 (-4 - 45/(-10))*(-12)/(-33) 2/11 What is ((-8)/(-40))/((-4)/(-80))? 4 What is (-16)/232 + 1025/145? 7 What is (3 + 1)*(30/(-16))/(-5)? 3/2 Calculate -1 - ((-32)/5 + 6). -3/5 Evaluate (-2)/(-3) + 110/(-264). 1/4 (6/(-28))/(28*12/1176) -3/4 7/(-8) + (-20)/160 -1 Evaluate -3 + (9 - 5) + 4. 5 What is the value of 6 + (32/(-176) - 148/33)? 4/3 (-22)/(-44) + 15/(-14) + 0 -4/7 -15*(7/6 + (-27)/18) 5 ((-4)/3*-3)/6 2/3 Calculate 2 - ((-136)/(-40) + -1). -2/5 Calculate 1/(-2)*(-10 + 208/20). -1/5 Evaluate ((-196)/(-147))/(38/3). 2/19 Evaluate -11*(-6)/(-10 + 4) + 3. -8 What is the value of (-122 - -122)*2/4? 0 2/(-8) - 6/(4 + -28) 0 (-9)/(-15) - (-3 + 2)/(-1) -2/5 Evaluate (-2 + 1)*(3 + 44/(-12)). 2/3 (3/(252/7))/((-15)/40) -2/9 What is ((-18)/(-1))/((-16)/(4 + 4))? -9 Evaluate ((60/18)/((-1)/3))/6. -5/3 What is 1/(-2)*144/468? -2/13 Evaluate 2 - ((2 - 1) + 6). -5 4/(-2*3/(-12)) 8 Calculate 2*((-55)/10 + 5). -1 46/10 - (-119 - -124) -2/5 0 - 1/10 - 364/1560 -1/3 What is 1/1 - (-16)/24*3? 3 Calculate (-4)/18*(-72)/8. 2 What is the value of (-20)/(-12)*(5 + -8) + 4? -1 What is the value of 20/45 - ((-177)/27 + 2)? 5 Calculate (3 - 9)/(5 + (-62)/4). 4/7 Calculate (-72)/(-18) - (8 + (0 - -1)). -5 Calculate ((-672)/(-60) - (-24)/(-20)) + -6. 4 4*(-1 - 13/(-14)) -2/7 What is the value of 2*(-1)/(-4)*(1 - 1)? 0 Evaluate (-82)/82 + (1 - 1 - 2). -3 Evaluate (-86)/140 - (-186)/868. -2/5 Calculate -1 + 12/((-9)/(-9)). 11 What is ((-275)/(-80))/(-11)*4? -5/4 What is the value of 1 - 5/(-20)*-7? -3/4 Calculate (-3 - (-14)/6)/(8/12). -1 What is the value of 8*(-15)/360 + (-14)/(-30)? 2/15 Calculate (2/12 + 187/66)*1. 3 What is the value of 6/84*-4 + (-40)/(-42)? 2/3 (-56)/(-20) + 5/25 3 Calculate 16/6*(12 - 760/64). 1/3 21/4 + (-3)/(-5 - -17) 5 Evaluate (-18)/(-22) + 0 + -1. -2/11 What is (0 - 7/14)*-2? 1 What is 3/1 - (-6)/2? 6 Calculate (-78)/(-91) - (-3 + 92/28). 4/7 (-6)/45 + 511/(-105) -5 (15 - 1)/((-44)/4 + 13) 7 (-6)/(-39)*(6 + 14/(-2)) -2/13 Calculate -8 - -1 - (-89)/13. -2/13 What is (7 + -4)*(-1)/3? -1 Calculate (0 - 16/(-154)) + 90/(-315). -2/11 Evaluate (-4 - 75/(-20))/(1/1). -1/4 What is the value of 69/12 + (-7 - -2)? 3/4 (3 - (-56)/(-21))/((-3)/(-63)) 7 Evaluate -1 - 0 - (-2)/(-14)*-5. -2/7 Calculate 0/(-6) - ((-6)/27 + 0). 2/9 Calculate (-10)/35 - 31/(-35). 3/5 Calculate 9/((39/2)/13). 6 What is the value of 2/(5/(-3)*(-12)/50)? 5 What is the value of (13/(-91))/(2/4)? -2/7 What is 1660/1125 + -2 + 12/27? -2/25 What is 18/(-27)*12/(-8)? 1 Calculate (7/(-28))/(2/(-16)) + 6. 8 Calculate (3 - 6)/((-42)/(-56)). -4 136/36 + -4 + 0 -2/9 What is 4/(16 - 0) + 21/(-4)? -5 What is 2/(-18) - (-403)/(-585)? -4/5 (-14)/4*(-896)/(-392) -8 Evaluate (-1*1)/((-152)/16 - -12). -2/5 52/117 + 22/(-90) 1/5 What is (4/14)/(126/49 + -3)? -2/3 What is the value of 1*((0 + 1 - -9) + -5)? 5 What is the value of (-62)/93 + -1 + 1 + -1? -5/3 Evaluate -16 + ((-16)/(-2))/1. -8 Calculate (1/(-4))/(5 + 16/(-4)). -1/4 3 + (-3)/(-12)*-10 1/2 (20/2 - 4)*4/6 4 (-2)/2*(-8)/(-52) -2/13 Calculate 2/9*423/(-940). -1/10 What is the value of ((-1)/3)/(1/(-9)) - 2? 1 (-45)/(-20)*(-15)/45 -3/4 What is -16 - -23 - -114*(-3)/48? -1/8 What is (-1)/3 - 791/1695? -4/5 What is 2 - 216/99 - 75/11? -7 (-27)/108 + (-3)/(-4) 1/2 70/(-28)*16/10 -4 What is the value of (-6)/48 + 21/(-24)? -1 Calculate (66/(-55))/(310/75 + -4). -9 Calculate (5 - 1)/32*(0 - -2). 1/4 Evaluate -4 + 0 + 18/3. 2 Calculate ((-4)/30)/((-51)/10 - -5). 4/3 Calculate ((-2)/(-12))/(605/484). 2/15 Calculate 4 - ((-3)/9)/((-5)/69). -3/5 Calculate 0/2 + (-7)/98*8. -4/7 ((-2)/(-3))/((-33)/(-9) + -3) 1 What is ((-84)/(-168))/(7/(-2) - -2)? -1/3 Calculate (285/10)/(-3) - 5/10. -10 What is 6/(-4)*9/(-27)*-10? -5 Calculate 3 + (-1 - 13/6). -1/6 What is (-11)/(-22) + (-10)/(-4)? 3 What is -75 + 71 + 108/26? 2/13 What is the value of (-1581)/119 - -16 - (1 + 2)? -2/7 (1 - 0)/((4 + 18)/2) 1/11 Calculate 0/(((-7 - -2) + 4)*-2). 0 What is (-14)/(-42) - 2/(-3)? 1 What is the value of ((7/(-28))/((-3)/(-12)))/(-13)? 1/13 0 + (-2)/(-6)*6 2 What is (-8 - (-2 - 4)) + (-3 - 0)? -5 (28 - 20)*1/6 4/3 What is the value of -5 - ((-87)/18 - 4/24)? 0 54/162*3/4 1/4 Calculate -6*(-10)/75*(5 - 0). 4 Evaluate 6/(-30) + (-2)/10. -2/5 What is the value of (-6)/(-21)*294/63? 4/3 What is (-64)/(-28) + (-6)/21? 2 Calculate -1 - (-10*1)/(-5). -3 What is (-22)/(-4) + 18/36 + 1? 7 What is the value of (-44)/(-14) - 8/56? 3 What is the value of (-24)/(-14) + 30/105? 2 Calculate (-1 + 116/104)*8/6. 2/13 -2 - -4 - 5 - (3 - -2) -8 (-10)/35 + 30/(-42) -1 Evaluate (-80)/32*(-24)/(-20). -3 What is 2 + ((-950)/(-40))/(-19)? 3/4 What is the value of (510/(-204))/((-5)/12)? 6 -7 + (8 - 15 - -8) -6 3 - (2/6 + 70/15) -2 Calculate ((-2)/(-3))/1*6. 4 (-76)/(-28) + (0 - 3) -2/7 What is the value of (-14)/49 - 90/(-21)? 4 What is 4/(-56)*58 - (-1)/7? -4 Calculate (40/570)/(6/9). 2/19 -1*1/4 - 19/76 -1/2 -1*((-4)/4 - -7) -6 Evaluate ((-16)/(-28))/((-2)/(-14)). 4 What is (153 + -155)/(9 - 0)? -2/9 14/60 + (-6 - 2)/(-48) 2/5 Calculate (-2 - -3) + (2 - 1). 2 -2 - 2/(6/(-7)) 1/3 (-1)/(-9) + (-7)/126*164 -9 What is the value of (-9)/3*1 + 69/21? 2/7 (-3*12/27)/((-2)/6) 4 What is the value of (-1)/7 + -3*156/(-1512)? 1/6 Calculate 1/(-4) - (-171)/(-36). -5 What is the value of (1536/45)/(-16) + 6 + -4? -2/15 What is the value of (2/(-3))/(143/66 + -2)? -4 Evaluate 2*1*1*141/(-3102). -1/11 What is the value of ((-3)/12)/((-33)/(-88))? -2/3 What is (-2)/(-27) + 54/(-729)? 0 What is (-126)/30 + 4/20? -4 ((16 + -11)/105)/((-1)/9) -3/7 Calculate 26/91*(-1 - 1) - 0. -4/7 Calculate 3/9*114/190. 1/5 What is the value of ((-2)/22)/(18/12 - 1)? -2/11 Calculate (54/9)/(-1) + -4. -10 (-3)/(12*7/28 - -4) -3/7 Calculate (-2 + 1/(-2))*(-10)/15. 5/3 What is the value of (-21)/19 - ((-3 - -1) + 1)? -2/19 Evaluate ((-6)/(-5))/(8 + 126/(-15)). -3 What is ((-16)/(-36))/((-4)/6)? -2/3 Evaluate 1 + 40/(-15) - -1. -2/3 Calculate (-8)/14 + (20/35 - 0). 0 Evaluate 3/22*(-100)/(-75). 2/11 Calculate ((-17)/4 - -5)*(-24)/45. -2/5 (-51)/(-108) + 9/(-36) 2/9 Calculate (-1)/(0 + -3) - (-52)/(-12). -4 What is the value of 7/(392/(-21)) - (-5)/(-8)? -1 What is (-4)/(-24)*-10*3 - -7? 2 Calculate (-14)/(-4)*33/(-154). -3/4 ((-392)/7)/(-14) + 0 4 Calculate 5*(4/(-20) + 3/5). 2 Calculate 16/48*(-6)/27*3. -2/9 What is 207/138*8/(-3)? -4 ((-8)/14)/((-6)/(-42)) -4 (-25)/4 - (-27 - -22) -5/4 What is ((-12)/(-15))/((-2)/10)? -4 Evaluate -2 + (5 - (-80)/(-15))*3. -3 What is the value of (3 + -1 + -3)*-7? 7 What is (-63)/(-315) + 1/(-5)? 0 Evaluate 3/12 - 15/108. 1/9 341/121
{ "pile_set_name": "DM Mathematics" }
? -7724058*l Find the second derivative of -31790*c*v**2 - 13*c*v - 14*c wrt v. -63580*c Differentiate -38931*a**3*c*j + 80220*a**3*c + 2*a*c*j wrt j. -38931*a**3*c + 2*a*c What is the second derivative of -14725*l**5 + 4*l + 830? -294500*l**3 Find the second derivative of -680*b**4*d - 172*b**3*d**2 - b*d**2 - 2*b*d + 2*b - 33278*d + 2 wrt b. -8160*b**2*d - 1032*b*d**2 Find the second derivative of 2*r**3*y**3 - 11280*r**3*y**2 - 3*r**2 - 3*r*y**3 - 2*r*y**2 - 40092*r - 2*y**3 wrt r. 12*r*y**3 - 67680*r*y**2 - 6 Find the second derivative of -11*x**3 + 1419*x**2 + 1333*x + 10. -66*x + 2838 What is the second derivative of 92*x**3 + 24*x**2 - 42237*x? 552*x + 48 Differentiate -3*z**4 + z**3 - 4*z**2 + 796*z + 2842264 wrt z. -12*z**3 + 3*z**2 - 8*z + 796 Find the first derivative of 30141*l**2 + 299538. 60282*l Differentiate 150969*a + 212077 with respect to a. 150969 Find the third derivative of -3*p**5 - 32*p**4*r + 17*p**3*r - 4*p**2 - 2*p*r + 7*p + 20*r wrt p. -180*p**2 - 768*p*r + 102*r Find the second derivative of -12083*w**2 - 66749*w. -24166 Find the second derivative of 2726044*k**3 + 489036*k + 2. 16356264*k What is the first derivative of -35*v**4 - 16*v**3 + 7*v**2 + 2*v + 429172? -140*v**3 - 48*v**2 + 14*v + 2 Differentiate 3*j**2*n + 6*j**2 - 19*j*n - j - 671775*n + 1 with respect to j. 6*j*n + 12*j - 19*n - 1 Differentiate b*m*z**2 - 15*b*m*z + 1995*b*p*z**2 - 4*b*p*z + m*p - 3*m*z**2 wrt m. b*z**2 - 15*b*z + p - 3*z**2 Find the second derivative of 852*g**2*i**2 + 1054683*g**2*i + 9*g*i**2 - 8*i**2 wrt i. 1704*g**2 + 18*g - 16 What is the third derivative of -27*t**4 + 28*t**3 + 9547*t**2? -648*t + 168 Find the first derivative of 32*c*d*g**2 - 14495*c*g**2 + 5*c + 901*d*g**2 wrt d. 32*c*g**2 + 901*g**2 What is the second derivative of 1198186*h*v**2 - h*v - 2*h - 321*v + 53 wrt v? 2396372*h Find the third derivative of 582844*z**3 + 588*z**2 - 4*z - 45 wrt z. 3497064 Find the third derivative of -4*b**6 + 7384*b**5 + 310*b**2 wrt b. -480*b**3 + 443040*b**2 What is the derivative of 6*h**4 + 67*h**3 + 39*h**2 - 131529 wrt h? 24*h**3 + 201*h**2 + 78*h What is the third derivative of -a*g**2*y**4 + a*g**2*y**2 + 2*a*g**2*y + 4*a*g**2 + a*g*y**2 + 114864*a*y**3 + a - 458*g**2*y**2 wrt y? -24*a*g**2*y + 689184*a Find the third derivative of -275155*x**5 + 22506*x**2 + 2. -16509300*x**2 Find the second derivative of -z**4 + 1245*z**3 - z**2 + 1597*z - 3. -12*z**2 + 7470*z - 2 Differentiate -140050*h**3 - 334825 with respect to h. -420150*h**2 What is the derivative of -83550*a*k**3*x + 85*k**3*x - 52*k**3 - k**2*x wrt a? -83550*k**3*x What is the first derivative of -619868*b**2 - 777686? -1239736*b Find the third derivative of -171*i**3*l**3 + 5*i**3 + 2*i**2 - 42*i*l**2 - 2*l**3 - 7*l wrt i. -1026*l**3 + 30 Find the third derivative of -4572718*a**5*o + 12*a**2 - 814*a*o + 62*o wrt a. -274363080*a**2*o What is the second derivative of -18626*i**5*o + 3*i**5 + 1774*i - 27*o wrt i? -372520*i**3*o + 60*i**3 Differentiate 4*x**2*y**2 - x*y**2 - 65*x*y - 32*y**2 - 498 with respect to x. 8*x*y**2 - y**2 - 65*y Find the first derivative of -656*p**4 - 19*p - 52209. -2624*p**3 - 19 What is the second derivative of -3397*f**2*o*u**3 - 21*f**2 - 5*f*o*u**2 + 8*f*o - f*u**3 + o*u**3 - 374*u wrt f? -6794*o*u**3 - 42 Find the second derivative of -18823*b**2*l**3*x - b**2*l**3 - b**2*l*x + b*l**3 - 24*b*l**2*x + b + l**3*x + 6*l**2*x wrt b. -37646*l**3*x - 2*l**3 - 2*l*x What is the second derivative of 3*b**2*j**2 - 21*b**2*j - 31010*b*j**3 + 2*b*j**2 - 757*b*j + 2*j**2 + 3*j wrt j? 6*b**2 - 186060*b*j + 4*b + 4 What is the third derivative of -67654*a**6 - 2*a**2 - 2*a + 2671? -8118480*a**3 Find the second derivative of 2*s**5 - 159*s**4 - 32*s**3 + 631*s - 67. 40*s**3 - 1908*s**2 - 192*s Differentiate -270039*i*q**3 - 4*q**3 + q**2 - 23839*q wrt i. -270039*q**3 Find the first derivative of 497671*p*q - 2*p + 604338*q wrt p. 497671*q - 2 Find the second derivative of 1997032*i**2 + 2318379*i. 3994064 Differentiate 18039*q**3 - 2*q - 194109. 54117*q**2 - 2 What is the second derivative of -496776*b**2 + 12136*b - 13 wrt b? -993552 What is the second derivative of 606*o**4*x**2 - 8*o**4*x + 2*o*x**2 + 2*o + 9*x**2 - 189 wrt o? 7272*o**2*x**2 - 96*o**2*x What is the third derivative of 22447*y**3 - 2*y**2 - y + 37673? 134682 What is the derivative of 2*h*n**3*p*s**2 - 2113711*h*n**3*p + 9*n**3*s**2 + 62*n**3*s - n*p + 190*s**2 wrt h? 2*n**3*p*s**2 - 2113711*n**3*p What is the derivative of 880*p**4 + 4*p - 17132 wrt p? 3520*p**3 + 4 What is the third derivative of -1092291*g**6*q - 2*g**6 - 9*g**2*q - 446*g + 118*q wrt g? -131074920*g**3*q - 240*g**3 What is the second derivative of 6882*h**3*k**2 + 83*h**3*m + 2*h**2*k**2*m + 1737*h**2*k - 2*h*k**2*m - k*m wrt k? 13764*h**3 + 4*h**2*m - 4*h*m Find the second derivative of 12884*w**4 + 725*w + 9. 154608*w**2 Find the second derivative of 1997714*i*x**3 + 2*i*x + 925*i - 64*x + 2 wrt x. 11986284*i*x Find the second derivative of 319*b**3*c**2 - 2*b**3 - 3*b*c**2 - 2*c**2 + 4819*c wrt c. 638*b**3 - 6*b - 4 What is the first derivative of -3963857*a + 444812 wrt a? -3963857 What is the third derivative of -7183*m**6 + 19*m**5 + 3*m**2 + m - 249 wrt m? -861960*m**3 + 1140*m**2 Find the first derivative of -104*b*m**2 + 20282*b - 14*m**2 wrt m. -208*b*m - 28*m What is the second derivative of 41999*a**4 - 23*a + 1461 wrt a? 503988*a**2 Find the second derivative of i**4 - 3628*i**3 + 26*i**2 - 40*i - 794 wrt i. 12*i**2 - 21768*i + 52 Differentiate 3*a**4 + 7725*a**3 - a**2 + 283182. 12*a**3 + 23175*a**2 - 2*a What is the second derivative of -5569*y**5 - 99218*y? -111380*y**3 Differentiate -35490*h + 18055. -35490 What is the third derivative of 2*t**4 - 418496*t**3 - 14*t**2 + 781*t + 6 wrt t? 48*t - 2510976 Find the second derivative of -181*q**4 + 6*q**3 - 48480*q wrt q. -2172*q**2 + 36*q What is the second derivative of -465540*a*c**2*u**2 - a*c**2*u + 2*a*c**2 + a*c + c**3*u**2 + 4*c**3 + 2*c**2 - 231 wrt u? -931080*a*c**2 + 2*c**3 Differentiate 917132*u + 569398 with respect to u. 917132 What is the second derivative of -378*q**3 - 229*q**2 + 556743*q? -2268*q - 458 Find the third derivative of -28098*q**4 - 6*q**2 + 183*q + 2. -674352*q Find the third derivative of 502762*c*m**5 - 2*c*m**2 - 3*c*m + 4*c - 24*m + 22 wrt m. 30165720*c*m**2 What is the second derivative of -3566*p**3 + 2*p**2 + 27343*p? -21396*p + 4 What is the second derivative of l**3 - 4611*l**2 + 10830*l wrt l? 6*l - 9222 What is the derivative of -2*g**2*t - 28827*g**2 + 48125*t wrt g? -4*g*t - 57654*g Find the third derivative of 115*g**3*h**3*u - 38*g**3*h - g**2*h**3 + g**2*h**2 - 34*g*h**2 + g*h + 57*g*u + 3*h**2 wrt g. 690*h**3*u - 228*h Find the third derivative of 6547*a**3*l**4*p - a**3*l*p + 7*a**3 - a**2*l**2*p*q**2 + 18*a**2*p*q - 2*a**2*q + a*l**2 - l**3*p*q**2 wrt l. 157128*a**3*l*p - 6*p*q**2 What is the third derivative of -8579*d*y**4 + 2*d*y**3 + 129*d*y - 4*d + 7*y**2 + 2 wrt y? -205896*d*y + 12*d Find the second derivative of o**4 - 621*o**3 - o**2 - 4*o - 3011. 12*o**2 - 3726*o - 2 Differentiate -5*a*n**3 + 2385*a*n**2 + 3*a*n + 84208*n**3 wrt a. -5*n**3 + 2385*n**2 + 3*n What is the second derivative of -61534*k**5 + 11807*k? -1230680*k**3 Find the second derivative of -2*j**2*l**3*t**2 - 311721*j**2*l**3 - 2*j*l**3*t + 5*j*l**2*t**2 - 2*j*l - l - 894*t**2 wrt j. -4*l**3*t**2 - 623442*l**3 What is the third derivative of -1842*a*d**3*l*w - 3*a*d**3*w - a*d**2*l*w - 4*a*d**2*w - 31*a*w + 2*d**3*l + 26*d**2*w + d*w + 2*l*w - 2 wrt d? -11052*a*l*w - 18*a*w + 12*l What is the first derivative of 32228*y + 10821? 32228 Differentiate 67*k*t*z + 9*k*t + 2*k*z + 27*k - 9*t*z + t wrt z. 67*k*t + 2*k - 9*t What is the first derivative of 2*a*j**3*q*v - 50*a*j**3*q - a*j*v + 2*a*q**2 - 202*j*q**2 + 1745*q**2*v wrt v? 2*a*j**3*q - a*j + 1745*q**2 What is the second derivative of 345*d**5 + 283*d**4 - 414375*d? 6900*d**3 + 3396*d**2 What is the derivative of -1208824*a**2*k**2 - 2165*a**2 - 53*a - 2 wrt k? -2417648*a**2*k Find the second derivative of -2*l**2*r**3*x + 2*l**2 - 120*l*r**2*x - 3*l*r - 571*l + 136*r**3 + 10*r*x wrt r. -12*l**2*r*x - 240*l*x + 816*r Find the third derivative of x**4 - 39271*x**3 +
{ "pile_set_name": "DM Mathematics" }
/o assuming o is positive. o**(311/45) Simplify (x**(26/3)/x**(-28))**27 assuming x is positive. x**990 Simplify w**(11/2)*w/(w**9*w)*(w*(w/(w/(((w/(w/(w*w**(-5/9)/w)))/w)/w)))/w)**(-3/5) assuming w is positive. w**(-59/30) Simplify (m**(-6)*m/(m**(5/6)*m))/(m*m**(-1)/m)**(8/7) assuming m is positive. m**(-239/42) Simplify (v**(-5)/v**0*v**12*v*v/v**(-6))**30 assuming v is positive. v**450 Simplify ((g/(g*g**(-9)))/(g/(g*g**(1/7)*g*g))*(g**2)**17)**(-18) assuming g is positive. g**(-5688/7) Simplify ((n**(2/19)/(n**10*n))**(-1/42))**(-5) assuming n is positive. n**(-345/266) Simplify (((k/(k**2/k))/k)/k*k**24)/(k**(-4/3))**(-15) assuming k is positive. k**2 Simplify ((p**1*p/(p/p**(3/4)))/(((p*p**4)/p)/(p*p*p**(-10))))**(-1) assuming p is positive. p**(41/4) Simplify (s**(-1/8))**(40/3)*(s*s/(s**(-3/7)/s))**(-40) assuming s is positive. s**(-2915/21) Simplify (((d**(-1/3)*d)/((d*d*d*d**2*d)/d))**(-27))**(-28) assuming d is positive. d**(-3276) Simplify ((h*h/h**(-15))/(h**8*h))/(h**(-2))**46 assuming h is positive. h**100 Simplify (t**(-25)/((t**(3/22)*t*t)/t))**(-2/13) assuming t is positive. t**(575/143) Simplify (a**3)**(-7/3)/((a*a**(-3)*a*a)/a**(-19)) assuming a is positive. a**(-26) Simplify (q/((q*(q**(-3)/q)/q)/q))**(-3/11)*(q*q**(-2))**(5/14) assuming q is positive. q**(-307/154) Simplify (m/(m**(-1/19)*m*m)*m)/m*m*m**(-19)*m/(m**5/m)*m/(m**(-16)*m) assuming m is positive. m**(-113/19) Simplify ((i**(-2/7)/i)**(-27)*(i*(i/(i**(5/8)/i))/i)/i**(2/39))**37 assuming i is positive. i**(2912159/2184) Simplify ((o/(o**4/o))/(o/o**(-6)*o)*(o/(o/o**0))**(-1/18))**20 assuming o is positive. o**(-200) Simplify (l**(3/20)/(l**(-1/2)*l))**(-5/9) assuming l is positive. l**(7/36) Simplify (c*c**23/c*c**(-2/5))**(-2/5) assuming c is positive. c**(-226/25) Simplify (j/j**(1/4))**13/(j*j**(-3)*j*j**(1/4)) assuming j is positive. j**(21/2) Simplify (i**(-21)*i/i**(-13/4))/(i*i**(10/3))**(-1/22) assuming i is positive. i**(-2185/132) Simplify (l/l**(1/4))**(-5/7)*l*l**0*l**12 assuming l is positive. l**(349/28) Simplify ((p**(-6)*p**(2/9))**29)**(3/28) assuming p is positive. p**(-377/21) Simplify (h*h**(4/9))**(-7/5)*(h/h**(-19))**(-24) assuming h is positive. h**(-21691/45) Simplify (k**24/(k/k**(-1/35)))/(k*k**2*k**14) assuming k is positive. k**(209/35) Simplify ((y**1/y)**(2/25)*(y*y*y**(5/4))/(y/y**(6/13)))**(-42) assuming y is positive. y**(-2961/26) Simplify ((a**(-1/10)/a)/(a**(2/3)*a))/(a**(-7/2)/(a*(((a**(-17)/a*a)/a)/a)/a)) assuming a is positive. a**(-274/15) Simplify ((o**(3/7)/o*o*o**(1/2))/(o**5*o*o**(1/6)))**(4/9) assuming o is positive. o**(-440/189) Simplify (j**(16/5)*j*j*j**(-10/11)*j)/(j/j**(-21)*j*j**(3/16)) assuming j is positive. j**(-15749/880) Simplify (k*k**(-20)/k*k/(k*k*k**(-2/77)))**(-43) assuming k is positive. k**(69445/77) Simplify ((h**(-1/6))**14*h**(2/7)/((h/h**8)/h))**(-1/2) assuming h is positive. h**(-125/42) Simplify c**(-2/25)*(c**(-2/39)*c)/c*c**(9/4)/(c/(c**(-16)/c)) assuming c is positive. c**(-61937/3900) Simplify w*w*w**(-15/2)*w*w*w*((w**5/w*w)/w)/w*w**(1/3)/w**(3/2) assuming w is positive. w**(-2/3) Simplify (t**(-11)/(t/t**(-12)))/(((t**(-2)*t)/t*t)/(t*t**(5/7))) assuming t is positive. t**(-149/7) Simplify ((r*r/(r**(-1)*r))/r**18)/(r**(-1/23)*r/r**(2/17)) assuming r is positive. r**(-6584/391) Simplify (d**(-3)*d**(-25))/(((((d**25/d)/d*d)/d)/d)/d**(1/37)) assuming d is positive. d**(-1849/37) Simplify y**(-8/5)/(y/(y/(y/(y**(-1/6)/y))*y))*(y*y**(-1/15)*y)/(y*y**(-8)) assuming y is positive. y**(37/6) Simplify a*a**(-10/3)*a*a**(-3/13)*a**(-20)/a*a**(2/125) assuming a is positive. a**(-109922/4875) Simplify ((h/(h/((h/(h*h**(-4/5)/h))/h)))/h*h)/h**(1/4)*h**(-12)/(h/h**0) assuming h is positive. h**(-249/20) Simplify ((z*((z/(z/(z*z*z*(z*z**6)/z)))/z*z)/z)/z)**(2/43)*(z*z/((z/(z/(z*(z/z**(-2/99))/z)*z))/z)*z)/(z/(z*z**(-12))) assuming z is positive. z**(-32558/4257) Simplify (p**(-2/13)*p)**(-9)/((p*p/((p*p**(-2/15))/p))/p*p)**(-21) assuming p is positive. p**(2417/65) Simplify ((c**14*c)/c)**(3/5)/((c/(c/(c**(-11)/c)))/c*c*c**(7/3)) assuming c is positive. c**(271/15) Simplify k**(1/2)/(k*k*k**(2/9)*k)*(k*k/k**(-2/5)*k)/(((k**(-15)/k)/k)/k) assuming k is positive. k**(1681/90) Simplify (k**(4/15)/(k/(k**19*k)*k))/(k*k**(-2/17))**(1/36) assuming k is positive. k**(18607/1020) Simplify ((w/(w/(w/((w*w*(w/((w**(1/3)/w)/w))/w*w)/w))))**(-13/2)/(w/w**1*w)**(6/13))**(-32) assuming w is positive. w**(-21056/39) Simplify ((n**(-2))**(-5/13)/(n*n**0*n*(n*n*n**9)/n))**(-2/13) assuming n is positive. n**(292/169) Simplify ((r/r**10)/r**(-2/59))/((r/(r**36*r))/r**35) assuming r is positive. r**(3660/59) Simplify (d**11/d)**(-32)/(d**(-2/17)/(d*d/(d/(d**8/d))*d*d)) assuming d is positive. d**(-5268/17) Simplify ((z**(4/9)/((z/z**(-9))/z*z))/(z*z*z/z**0*z)**24)**(9/11) assuming z is positive. z**(-950/11) Simplify x*x/x**(-1/3)*x*(x*x**(-4))/x*(x**(2/11)*x)**(3/38) assuming x is positive. x**(-719/1254) Simplify v**(2/33)*((v**(-6/17)/v)/v)/v*v**(2/35)*v*v/(v*v/((v/v**(-1/2)*v)/v)) assuming v is positive. v**(-68141/39270) Simplify (z*z**(2/39))/(z**(1/9)/z)*z*z/z**(3/2)*z*z/(z/z**(2/7)) assuming z is positive. z**(6103/1638) Simplify (((v**8*v)/v**(-5))**37)**(11/2) assuming v is positive. v**2849 Simplify ((h**4*h)**10)**(-2/13) assuming h is positive. h**(-100/13) Simplify ((t/(t/(t**(-1/6)*t)))/((t*t/(t/((t*t**16/t*t)/t)))/t))**16 assuming t is positive. t**(-728/3) Simplify ((n/(n**(-2/3)*n))**(-4/29)/(((n/(n/((n*n**(-1/8))/n)))/n)/n**(-3)))**(2/21) assuming n is positive. n**(-1369/7308) Simplify f**(3/5)/(f/f**25)*f/f**(10/7)*f**(-12/7) assuming f is positive. f**(786/35) Simplify ((i/i**1)/i)**(15/11)/(i**(3/11))**0 assuming i is positive. i**(-15/11) Simplify (s/(s/(s*s**(-3)))*(s**(-7/6)*s)/s)/(((s/(s**1/s))/s)/s)**26 assuming s is positive. s**(137/6) Simplify b**(-15)*b*b**8*b*(b/(b*(b/(b/(b/(b/(b/b**(-2)))))*b)/b))**(-1/7) assuming b is positive. b**(-32/7) Simplify (g/((g/((g**(-2/13)/g)/g*g*g)*g)/g))**40*(g**(-2/5)*g)/(g*g*g**(-6)*g) assuming g is positive. g**(-166/65) Simplify ((p*p**(-7))/p**(-29))**31 assuming p is positive. p**713 Simplify ((p/(p/(p/p**(11/3))))/(p/(p/p**(-1/17))*p))/((p*p**(-2/17))/p**26) assuming p is positive. p**(1097/51) Simplify (((u/(u/(u/(u/u**9))*u))/((u**(-1/6)*u)/u))/(u**0/(u*u**5)))**22 assuming u is positive. u**(935/3) Simplify (w**(2/7))**(15/7)/(w*w**(-2)*w)**(5/13) assuming w is positive. w**(30/49) Simplify p*p*p/(p/(p/p**0))*p**10*p*(p**10*p*p)/p*p**3*p assuming p is positive. p**29 Simplify ((s/(s**(1/3)/s))/(s**(-1/2)/s)*s**(-1/8)/(s/((s*s/((s**(-2)*s*s*s)/s)*s)/s)*s))**(-4) assuming s is positive. s**(-73/6) Simplify ((b/b**(-1/15)*b)/b)/(b*b**(-12))*b**(-2/35)*b**(1/6)*b*b assuming b is positive. b**(2977/210) Simplify (((s/(s/(s*s/(s*(s/s**(2/21))/s))))/(s**(4/3)*s))**40)**(-29) assuming s is positive. s**(30160/21) Simplify (d/(d/d**(4/7)*d)*d**27)/((d**(-13)/d)/(d*d**(1/8))) assuming d is positive. d**(2335/56) Simplify (f**(-3/14)*f)**(3/26)/(f**(-5)*f*(f*f/(f/(f/(f*(f/(f*f**(-7)))/f))))/f*f) assuming f is positive. f**(3309/364) Simplify (d**(-1/3)/((d/(d/(d*d**(-2/47)*d)))/d*d*d))/(d/(d/d**(-2/11)*d*d*d)*d**(-1/2)) assuming d is positive. d**(1213/3102) Simplify ((t/((t**(2/3)/t)/t*t))**(6/23)/(t**(-1/3)*t)**(-1/23))**(4/13) assuming t is positive. t**(8/69) Simplify (k/k**(-7/2))/(k**5/k*k)*(k*k**(-2/5)*k)**(-4/21) assuming k is positive. k**(-169/210) Simplify n*n**2*n*n**(-11)*n*(n*n**9)**(-1) assuming n is positive. n**(-16) Simplify (p**(-3/23)/(p**19*p*p))**2 assuming p is positive. p**(-972/23) Simplify (u**(2/5))**(1/8)/(u**4/(u*(u*((((u**(-5/3)/u*u*u)/u*u*u)/u)/u)/u*u*u)/u)) assuming u is positive. u**(-217/60) Simplify ((((g/g**8*g*g)/g)/g)/g**(-1/14))/(g**(-1/4))**(2/11) assuming g is positive. g**(-530/77) Simplify ((f**4*f*f*(f*f*f**(-4))/f)**(-44))**(-9) assuming f is positive. f**1188 Simplify (v**(-1)*v**(1/5))/((v*(v/(v*v/(v**(-2/35)*v)))/v)/v**14) assuming v is positive. v**(464/35) Simplify ((i*i**(4/5))/(i**(-2/7)/i))/(i/(i/i**(-4/3)))**35 assuming i is positive. i**(5224/105) Simplify (g/(g**(-32/3)*g)*g**(-29)*g)**(-11) assuming g is positive. g**(572/3) Simplify (w*(w*w/w**(-5/3)*w)/w)**(-1/15)*(w/w**5)**(-22) assuming w is
{ "pile_set_name": "DM Mathematics" }
(b) 0.3 (c) j (d) 3 b Let d = -24440 + 9639. What is the second biggest value in d, -4/3, 1/6? -4/3 Let t be -4 + 3 + (7 + -5)*32. Let k be (-16)/(-24)*t/(-12). Which is the second smallest value? (a) k (b) 2/5 (c) 5 b Let l = 2 + -2. Let f = 1.99 + 0.21. Let i = f - 2.7. Which is the second biggest value? (a) l (b) 3/5 (c) 5 (d) i b Let z = 0.294 - 0.216. Let r = -3.078 + z. Which is the second biggest value? (a) r (b) -1/24 (c) 0.4 (d) 5 c Let o be (-128)/(-228) - ((-170)/(-190) - 1). Let k = 0.6 + -0.55. Let i = 2.95 + k. Which is the second biggest value? (a) i (b) -0.1 (c) o c Suppose 0 = -3*k + 52 + 2. Let v = k - -10. Let w be 64/48*(-2 + 62/v). Which is the second smallest value? (a) w (b) -4 (c) 0.1 (d) -2/3 d Let u = -443 - -443.1. What is the smallest value in -47/6, -1, u? -47/6 Let p be (408/255)/((-2)/200). Let f = 1758/11 + p. What is the third biggest value in f, -4/7, 0.14, 4? f Let q(i) = i**3 - 19*i**2 - 15*i - 27. Let y be q(19). Which is the third biggest value? (a) 3 (b) 0 (c) y c Let w = 11808.8 + -11809. Suppose 5*t + 2 = 3*t. Let q be -1 + -5*1/t. Which is the second smallest value? (a) 0.2 (b) -1/4 (c) w (d) q c Let t = -78.31 - -37.31. Let g = -86 + 83. Which is the second biggest value? (a) -1 (b) 1 (c) g (d) t a Let o = 2399 + -2449. What is the smallest value in 14, 1/6, o? o Let y = 20173 - 20173. Which is the second biggest value? (a) -2/3 (b) y (c) 0.67 (d) 3/4 c Let b be (72/384)/((-3)/48*-1). What is the smallest value in -2/9, b, -1/24, -6/5, -1? -6/5 Let q = 399.1 + -399. Let n = 4 - 4.4. Let k = 15 + -78/5. What is the third smallest value in k, n, -1, q? n Let m = 12192 + -12191.95. What is the fourth smallest value in m, 0.009, -1/4, 4? 4 Let i = 596.8 - 596.13. Which is the second smallest value? (a) i (b) 4 (c) 22 b Let l be (1/(-12))/(6/(-16)). Let r = -9403 - -9399. Which is the fourth smallest value? (a) 25 (b) l (c) r (d) 3 a Let j = -418986 - -418983. Let f be (0 + 0 - 1)/1. Let t be (-2 - 9/(-5))*f. Which is the second biggest value? (a) -4 (b) j (c) -2/7 (d) t c Suppose -138*k = -187*k. What is the third biggest value in -1/5, -1.92, k? -1.92 Let c = 26 - 30. Let p = 31 - c. Suppose 0 = v + 4*b - 23, -p = -8*v + 3*v - 4*b. What is the biggest value in v, 0.7, 0.5? v Let z(o) = -649*o - 660. Let u be z(-1). Which is the biggest value? (a) 1/4 (b) u (c) 0.21 a Let s = 9/4 + -7/12. Let i be ((10/(-6))/1)/(1/3). Let v be 4/2*i*(-16)/(-40). Which is the biggest value? (a) 4/7 (b) v (c) s c Let q be (2/65)/((-1)/5). Let y = 1152413 - 1152411. Suppose 2 - 4 = -2*l. Which is the third biggest value? (a) y (b) l (c) q (d) -2/11 c Let n = -2/1875 + -3664/80625. Let x be 10/(-25) + (-33)/(-20). Which is the biggest value? (a) -4 (b) 0.5 (c) x (d) n c Suppose 4*z = -3*p - 0*p + 14, 0 = 2*p - 4*z + 4. Let y be p*10/(-8)*-30. Let q be 1 - (y/20 - 3). Which is the second biggest value? (a) q (b) 0.2 (c) -4 b Let n be (10/12)/((-44)/(-9) + -6). Which is the second smallest value? (a) n (b) 98 (c) -2 a Let v = -8.4 + 10.4. Which is the third smallest value? (a) -5/6 (b) -0.3 (c) 0.044 (d) v c Let l = -206 - -220. Let z be (-6)/l + 76/112. Which is the third biggest value? (a) z (b) -2/5 (c) 66 b Let n = -7.9336 + 8.0336. Let i = -0.2 - -3.2. Which is the smallest value? (a) i (b) 5 (c) n (d) -3 d Let q = -22 - -21. Let w be 1162/42 - 12 - 15. What is the fourth smallest value in w, -0.4, -5, q? w Let r(m) = -8*m + 51. Let t be (-3)/102*4 - (-416)/68. Let k be r(t). Which is the second smallest value? (a) k (b) 1 (c) -2/7 b Let f = -34 + 31. Let j(q) = 14*q + 3. Let h be j(0). Let i = 10 - 6. Which is the fourth smallest value? (a) i (b) h (c) f (d) -4 a Let n = 7877.6 + -7878. What is the biggest value in 1, 1126, n? 1126 Let u = 644.7 - 696. Let j = u + 51. Which is the second biggest value? (a) 0.4 (b) 14 (c) -5 (d) j a Let t = -57.74 - -1.74. Let f = -56.1 - t. Which is the third smallest value? (a) 2/11 (b) -0.2 (c) 1/3 (d) f a Let l = 49.514 + -50. Let n = l + 0.086. Let t(r) = -r**3 + 6*r**2 - 5*r. Let u be t(5). Which is the smallest value? (a) n (b) -2 (c) u (d) -1/3 b Let x be (1/(-2))/(1/4). Let t = -4 - -3.7. Suppose 90 = -5*n - 2*s + 121, -254 = 2*n - 14*s. Which is the third biggest value? (a) t (b) x (c) 7 (d) n d Let c = 1.516 + -0.516. Let z = 24.966 - -0.034. Let i = z + -25. What is the smallest value in c, -0.5, i? -0.5 Let n = 4.9 + 103.1. Let w = 106 - n. Which is the fourth smallest value? (a) -2/13 (b) 4 (c) 1 (d) w b Let w = 0.21 - -0.3. Let d = w + -0.41. Let o = -14.27 - 0.73. What is the biggest value in o, 0.2, d, 3/2? 3/2 Suppose 4*g = -y + 30, 5*g - 5*y - 48 - 2 = 0. Let w be (g/(-5))/((-5)/(-25)). Let l = 0.4195 - 0.0195. Which is the third biggest value? (a) w (b) 0.1 (c) l a Let g be -3 + (-14 - -14)*(15/20)/3. Which is the fourth biggest value? (a) -4/5 (b) -0.4 (c) 0.5 (d) -73.3 (e) g e Suppose 0 = -1918*w + 1915*w + 2*z - 64, -124 = 5*w + z. What is the second smallest value in 0, 3, w, 2/5? 0 Let s = -1.18 - 0.22. Let x = s + 1.7. Let k = -7.3 + 2.3. Which is the second biggest value? (a) -0.43 (b) k (c) x a Let n(h) = 3*h - 17. Let g be n(-14). Let y = -63 - g. Let x be 28/72 + 4/(-18). Which is the third biggest value? (a) x (b) 0.1 (c) y (d) -1/4 d Let c = -99 + -27. Let t = c - -58. Let r = -73 - t. What is the second smallest value in 4, r, -2, 1? -2 Let p be (2/6)/((-208)/546*7). Let l = 45 - 451/10. Let u = -2 + 6. Which is the third smallest value? (a) 13 (b) l (c) p (d) u d Suppose 0 = -53*l + 9*l - 572. Which is the fourth biggest value? (a) -0.7 (b) l (c) 0.4 (d) -3 b Let i = 1052.16 - 1068. Let t = -15.54 - i. Let r(h) = h**2. Let z be r(0). Which is the third biggest value? (a) t (b) z (c) 0.07 b Let n = 2 + -1.8. Let p = -88817 - -88816.909. Which is the third biggest value? (a) 4/9 (b) n (c) p c Let r = -35 - -77. Let q = -127/3 + r. Let t = -2.2 - -1.8. Which is the second biggest value? (a) t (b) q (c) -2.3 a Let s be (-6)/(14/4 + -2). Let q be -184*(-4)/144 - 2/18. What is the smallest value in s, -0.3, 0.4, q? s Let y(q) = 6*q + 6. Let u be y(7). Suppose 0*p + 2*p = -u. Let k = 1.77 + 1.23. Which is the second biggest value? (a) p (b) -2/3 (c) k b Let l be (-7)/(-4) - (-3)/(-4). Let q = -44.8 - 1.2. Let j = 46.3 + q. What is the biggest value in j, l, -2, -3? l Let z = 0.22 + -0.64. Let o = 0.12 + z. Let s = 0.9504 + 0.0496. Which is the smallest value? (a) 0.2 (b) -2/13 (c) o (d) s c Let p = 74 - -30. Let x = -61 + p. Let m = 44 - x. What is the fourth biggest value in -3, 3/7, m, -2/13? -3 Let y(u) = -115*u - 2436. Let j be y(-21). Let w = -3/16 + 31/80. What is the biggest value in w, j, 4? 4 Let y = -102.146 + 0.146. Let o = y - -105. Let z = -2/285 - 851/570. Which is the third smallest value? (a) o (b) 0.07 (c) z (d) 0.2 d Suppose -2*r + 10 = -8209*s + 8214*s, 5*s - 25 = r. Suppose -4 = -5*y + 1. What is the fourth biggest value in s, -1.5, -1, y? -1.5 Let k = -46 - -46.2. Suppose 13*s - 11 = 12*s + 4*x, -3*s - 3*x = 12. What is the biggest value in s, k, 14/9? 14/9 Let q be 234/(-1035)*(-25)/10. Let b = 399/299 - q. Suppose 0*u = -2*u + 4. What is the second biggest value in -2/9, b, 1/2, u? b Let s = 1388 - 3787. Let y = -71953/30 - s. Let x = y - 1/15. Which is the third biggest value? (a) x (b) 1 (c) -23 c Let x = 3.2544 - -4.7256. Which is the biggest value? (a) 3 (b) x (c) 1 b Let r be 20/(-3)*-20*7/(-1568)*6. What is the second biggest value in 2/13, -0.5, r? -0.5 Let u = 236/7 + -3117/91. Let w = -0.295 - -0.095. What is the second smallest value in 5, u, w? w Suppose 4*u = 129 + 191. Let j be 28/3*((-365)/u - -4). Let o = j + 5. Which is the second biggest value? (a) -4 (b) -5 (c) -2 (d) o c Let p = 23708.055 - 23657. Let l = -51 + p. Let q = l - -8.945. What is the third smallest value in 4, -0.2, q? q Suppose -m + 5*d + 6 + 12 = 0, -4*m - d - 12 = 0. Which is the second biggest value? (a) -0.4 (b) m (c) -225 b Let x be -22 + ((-4806)/(-24))/9. Which is the third biggest value? (a) -0.23 (b) x (c) -9/2 (d) -3 d Suppose 2*n + 21 = -i + 78, -2*n = -2*i + 96. Which is the third
{ "pile_set_name": "DM Mathematics" }
*h**3 What is the third derivative of 73*v**5 - 77*v**5 - 3*v - v**2 + 3*v wrt v? -240*v**2 Suppose 0 = -10*m + 11*m. Differentiate -8 + 5*s**3 + 2*s**3 + m*s**3 + 0*s**3 with respect to s. 21*s**2 Let y(d) be the first derivative of -d**7/42 - d**3/6 + d + 4. Let l(n) be the first derivative of y(n). Find the second derivative of l(q) wrt q. -20*q**3 Let p(z) be the second derivative of -z**5/30 - z**4/12 + z**2 + 3*z. Let t(v) be the first derivative of p(v). What is the second derivative of t(a) wrt a? -4 Let a(m) = 15*m + 1. Let d(j) = -2. Let q(u) = a(u) + 4*d(u). What is the first derivative of q(l) wrt l? 15 Suppose o + 0*d + 4*d - 2 = 0, 0 = -5*o - 4*d - 6. Let b = o - -7. What is the second derivative of -6*h**b + 6*h + 5*h**5 - 3*h wrt h? -20*h**3 Let y = -14 + 17. Let n(u) be the third derivative of 0*u**4 - 1/40*u**6 - 3*u**2 + 0*u + 0*u**y - 1/30*u**5 + 0. Find the third derivative of n(w) wrt w. -18 Differentiate -45 + 0*d**4 - 13*d**4 - 10*d**4 + 11*d**4 with respect to d. -48*d**3 Let a(j) = j**2 - 7*j - 10. Let c be a(10). Suppose 4*n = 3*u + 2*u + c, -3*u - 12 = -2*n. Find the second derivative of n*h**5 - 3*h**5 + 5*h**5 + 2*h wrt h. 40*h**3 Let m(h) be the third derivative of h**8/48 - 13*h**5/60 - 2*h**2. What is the third derivative of m(i) wrt i? 420*i**2 Suppose 4*q - 2*p = -7*p + 16, -5*q = p + 1. Let m be 5 - q*(-3 - -1). Find the third derivative of 0*w**3 + w**2 + 0*w**m + w**4 - 3*w**2 wrt w. 24*w Let u be (-5)/(-3)*(2 + 1). Suppose u*t - t = 8. What is the derivative of -2 + t*d + 3*d - d wrt d? 4 Let y be 2 - (-2)/4*0. Find the second derivative of 7*a - 2*a**4 + 2*a**3 - y*a**3 wrt a. -24*a**2 Let j(s) = -16*s**3 - 4*s**2 + 4*s - 14. Let b(r) = 17*r**3 + 3*r**2 - 3*r + 12. Let n(x) = -4*b(x) - 3*j(x). Differentiate n(l) with respect to l. -60*l**2 Let d(x) = -4*x**3 + 4*x**2 - 3*x. Let u = -12 - -11. Let j(n) = n**3 - n**2 + n. Let i(m) = u*d(m) - 3*j(m). Find the third derivative of i(s) wrt s. 6 Let l(p) = -18*p**3 - 3*p. Let d(q) = 9*q**3 + 2*q. Let f(n) = 5*d(n) + 3*l(n). Find the second derivative of f(o) wrt o. -54*o Let d(l) = -3*l**4 + 3*l**2 + 13*l. Let j(z) = z**5 + 2*z**4 - 2*z**2 - 13*z. Let n(h) = 2*d(h) + 3*j(h). What is the second derivative of n(q) wrt q? 60*q**3 Let t(z) be the third derivative of z**8/84 - z**5/5 + 10*z**2. Find the third derivative of t(p) wrt p. 240*p**2 Let b(i) be the third derivative of 0 - 1/15*i**5 + 0*i + 0*i**3 + 4*i**2 - 1/12*i**4. Find the second derivative of b(g) wrt g. -8 Let t(y) be the third derivative of 2*y**5/5 + 23*y**3/6 - 8*y**2. What is the first derivative of t(f) wrt f? 48*f Suppose -3*c = -2*y + 18, -6*y + 24 = -4*c - 3*y. Let a be (3/c)/(1/(-6)). What is the second derivative of -3*l**3 + 6*l**3 - 2*l**a + l - 5*l wrt l? 6*l Suppose -2*h + v - 11 = -7*h, -2*h = -5*v - 26. Let b = 0 + 1. Find the first derivative of -b + 3*w + w**3 - h*w wrt w. 3*w**2 Let r be 3/(-6) - 26/(-4). Suppose a + r = 4*a. Differentiate 7 - 3 - j**2 - j**a wrt j. -4*j Suppose -4 = 4*s, -5*r - s + 12 = 3. Suppose r*y - 6*y + 8 = 0. What is the second derivative of 3*w**y - w - w - 3*w**2 - w**5 wrt w? -20*w**3 Suppose 0*n - 17 = -4*a + n, 3*a - 3*n = 15. What is the derivative of 3 - 5*z**a + 2 - 4 + 0 wrt z? -20*z**3 Let a(q) be the second derivative of q**5/15 + 2*q**3/3 - 2*q**2 - 7*q. Let v(u) be the first derivative of a(u). Find the first derivative of v(s) wrt s. 8*s Let r(a) be the third derivative of 17*a**6/120 + 5*a**3/3 - 10*a**2. Find the first derivative of r(b) wrt b. 51*b**2 Let j(q) be the third derivative of q**4/24 - 7*q**3/6 + 2*q**2. Let f be j(7). Find the first derivative of -2*z + 2 + f*z + 0*z wrt z. -2 Let h(f) = f**4 - f**2 - f - 1. Let z(l) = -13*l**4 - 25*l**2 + 5*l + 5. Let b(s) = 5*h(s) + z(s). Find the third derivative of b(m) wrt m. -192*m Let c = -9 - -11. What is the third derivative of 0*a**5 + 6*a**c - 4*a**2 + 5*a**5 wrt a? 300*a**2 Let z(u) be the first derivative of -3*u**4/2 - 3*u**2 + 10. Find the second derivative of z(f) wrt f. -36*f What is the third derivative of 6*x**2 - 11*x**2 + 25*x**2 - 9*x**5 + 13*x**5 wrt x? 240*x**2 Let f be 1/((-15)/9)*-5. What is the second derivative of f*r**3 - r**3 - 3*r + r**3 wrt r? 18*r Let y(d) be the third derivative of -d**5/3 + 7*d**4/12 - 41*d**2. What is the second derivative of y(u) wrt u? -40 Let k(h) be the second derivative of 37*h**4/12 - 39*h**2/2 + 38*h. What is the derivative of k(b) wrt b? 74*b What is the derivative of -1 + 11*o**3 + 6 - 15*o**3 wrt o? -12*o**2 Let g(c) be the third derivative of 1/120*c**6 + 0*c - 1/60*c**5 + 0*c**3 + 0*c**4 + 0 - c**2. Find the third derivative of g(u) wrt u. 6 Suppose -4*a + 8 = -8*a. Let l(b) = 3*b**2 - 2*b + 1. Let n(g) = g**2 - g + 1. Let t(h) = a*n(h) + l(h). What is the derivative of t(p) wrt p? 2*p Suppose -3*c + 2 = -2*c. Find the first derivative of c*r + 4*r + 5 - 3*r + 0 wrt r. 3 Let s(d) be the second derivative of d**6/10 + 7*d**4/6 - 8*d. What is the third derivative of s(r) wrt r? 72*r Let u(v) be the first derivative of v**3/3 - v**2 - v + 2. Let o be u(-1). What is the second derivative of -h**4 - 2*h**4 - o*h + h**4 wrt h? -24*h**2 Let p be ((-2)/(-5))/(3/(-30)). Let k = 8 + p. What is the third derivative of k*h - 2*h**2 + h**4 - 4*h wrt h? 24*h Let b(s) be the first derivative of -s**3/3 - 5*s**2/2 - 6. Find the second derivative of b(g) wrt g. -2 Let c = 6 - 3. What is the third derivative of -b**6 + 0*b**6 + 0*b**6 + c*b**2 + b**2 wrt b? -120*b**3 What is the third derivative of 25*s**2 + 10*s**2 + 10*s**2 - 47*s**3 wrt s? -282 Let f(d) be the first derivative of -4*d**6/15 + 5*d**4/12 - 9*d - 9. Let z(t) be the first derivative of f(t). Find the third derivative of z(x) wrt x. -192*x Let m(d) = 27*d**4 + 4*d**2 - 4*d + 13. Let y(l) = -28*l**4 - 3*l**2 + 3*l - 12. Let t(j) = 3*m(j) + 4*y(j). What is the first derivative of t(k) wrt k? -124*k**3 Let r be (3 - 4 - -1)/2. Differentiate -4 + 0*z + r + 3 + z with respect to z. 1 Differentiate 2*p**4 + 9 - 2 + 2*p**4 wrt p. 16*p**3 Let s(h) be the first derivative of h**8/420 - h**5/120 - 4*h**3/3 - 2. Let k(o) be the third derivative of s(o). What is the second derivative of k(a) wrt a? 48*a**2 Let k = 2 + 1. Suppose 37 = 4*s + 1. Find the second derivative of 9 - a - k*a**2 - s wrt a. -6 Find the second derivative of 4*f + 3*f + 2*f**5 + 0*f wrt f. 40*f**3 Let j(r) = -r**3 - 9*r**2 - r - 6. Let x be j(-9). Let d = -1 + x. What is the first derivative of -3 + d - 3*g**3 + 4*g**3 wrt g? 3*g**2 Let s(o) be the second derivative of -5/6*o**3 + 0*o**2 + 0 - 1/6*o**6 + 0*o**4 + 0*o**5 - 6*o. Find the second derivative of s(h) wrt h. -60*h**2 Let z(v) be the third derivative of 1/20*v**5 + 0*v**4 + 3*v**2 + 0 + 0*v + 1/6*v**3. What is the derivative of z(y) wrt y? 6*y Let g(k) = 8*k**3 + 18*k**2 - 2. Let m(q) = -q**3 - q**2 + 1. Let p(i) = g(i) + 2*m(i). What is the third derivative of p(h) wrt h? 36 Let q(s) = 5*s**3 - 3. Let n be (-2)/((7/(-2))/(-7)). Let k(b) = -2*b**3 + 1. Let j(o) = n*q(o) - 11*k(o). Find the first derivative of j(u) wrt u. 6*u**2 Let t(l) be the third derivative of -l**7/42 - l**4/2 - 8*l**2. Find the second derivative of t(a) wrt a. -60*a**2 Let s(y) = y**3 + 3*y**2 - 6*y - 2. Let l be s(-4). What is the derivative of -3 - l*z**2 + 11 - 7*z**3 + 6*z**2 wrt z? -21*z**2 Let n(x) = 18*x**3 + 9*x + 15. Let w(b) = b**3 + b + 1. Let i(r) = 3*n(r) - 45*w(r). Find the second derivative of i(a) wrt a. 54*a Let y be 6/4 + 1/2. What is the third derivative of 2*t**3 + 3*t**2 + t**2 - 3*t**y wrt t? 12 Let k(x) be the third derivative of -1/24*x**4 + 0 + 0*x + 1/3*x**3 - x**2. Differentiate k(m) with respect to m. -1 Let c be (3/(-12))/(1/(-12)). Let n(h) be the first derivative of 0*h**c + 0*h**2 - 1/4*h**4 + 1 - 3*h. Differentiate n(u) wrt u. -3*u**2 Suppose 2*q - 5*q = -18. Suppose q = 4*r - 2. Find the first derivative of r - 7 + 4 + 2*i**2 wrt i. 4*i Let u(a) = 4*a**4 - 18*a**2 + 3*a - 3. Let v(s) = -11*s**4 + 53*s**2 - 8*s + 8. Let j(g) = 8*u(g) + 3*v(g). What is the third derivative of j(o) wrt o? -24*o Let g(m) = -m + 4. Let i be g(2). Let w(q) = q - 3. Let j(n) = n - 3. Let f(z) = i*j(z) - 3*w(z). Differentiate f(p) with respect to p. -1 Let c(y) be the second der
{ "pile_set_name": "DM Mathematics" }
44 for f. -4 Solve 0 = 3*v - 4*x + 41, 0 = -2*v - 4*x + 9603 - 9597 for v. -7 Solve -5*z + 25*y + 10 = 21*y, -8 = 2*z - 6*z - 2*y for z. 2 Solve 0 = -i - 3*c - 18, 13*i - 5*c = -1523 + 1553 for i. 0 Solve 129*w - 18 = 5*n + 130*w, -2 = 3*n + 5*w for n. -4 Solve -191*k + m - 18 = -188*k, -34 = 5*k - 3*m for k. -5 Solve 0 = -152*x + 148*x, 0 = 3*q - 3*x + 33 for q. -11 Solve 0 = -2*o - 5*n - 22, -667*n + 662*n = 5*o + 25 for o. -1 Solve 5*z = 3*g - 5, -1466*g - z + 17 = -1463*g for g. 5 Solve j + 10*x = -6*j + 9*x - 6, -3*x - 5 = 8*j for j. -1 Solve 2*p - 12 = -m - p, -21*p = -20*p + 2 for m. 18 Solve 4*w + 0*r = -4*r - 40, -2*w - 16 = r for w. -6 Solve -20*m - 74264*i + 74267*i - 71 = 0, 4*m - 5*i + 1 = 0 for m. -4 Solve -1078*t = 5*v - 1080*t - 28, -12 = 2*v + 5*t for v. 4 Solve -i - 223*o + 227*o = -10, -i = -o - 7 for i. 6 Solve 2*d + 21*n = 19*n + 28, 2*d - n = -8 for d. 2 Solve -240*q + 243*q + g + 20 = 0, -4*g = -16 for q. -8 Solve 5*c + 1291*z - 1292*z + 13 = 4, 5*c + 3*z - 7 = 0 for c. -1 Solve -5*z = 6*k - 59, -1003*z + 999*z + 2*k + 24 = k for z. 7 Solve -u = 3*k - 40, 3*k - 32 = -44*u + 45*u for u. 4 Solve -8*b + 5*l + 41 = 0, 5*b + 6*l = 7*b + 3*l - 19 for b. 2 Solve -25491*r + 43 = -2*h - 25486*r, -4*h + r = 23 for h. -4 Solve 13 = -3*p + 19, -4*p = 12*v + 28 for v. -3 Solve 57*g - 58*g = 5*m - 48, m + 2*g = 15 for m. 9 Solve -757*m + 3*g + 61 = -755*m, -g = -3*m + 81 for m. 26 Solve 3*b - 3*a - 12 = 0, -5*b + 6*a + 34 = -9*b for b. -1 Solve -s = -3*h - 7919 + 7930, -2 = 2*s - 2*h for s. 4 Solve -4*d - 14 = 3*q - 9, -4*q - 6 = 5*d for q. 1 Solve 25*u - 23*u - 6 = 3*l, 5*u + 5*l + 10 = 0 for u. 0 Solve 327380*c = -4*a + 327384*c - 4, -a - 4*c + 14 = 0 for a. 2 Solve 20 = -h + 5*f, -944 = 4*h + 2*f - 952 for h. 0 Solve 1307*j - 1311*j - 12 = 5*t, 40 = -3*j + 4*t for j. -8 Solve 3*d - 39*p = -34*p - 23, 4*d + 5*p + 19 = 0 for d. -6 Solve 46 = -4*o + 2*g, -218*o + 211*o - 81 = -4*g for o. -11 Solve 101202*k - 3*t = 101200*k + 31, 3*k + 2*t + 38 = 0 for k. -4 Solve -22 = -2*x + m, 3*m + 1 = 27223*x - 27222*x for x. 13 Solve 0 = 44*n - 46*n - y + 10, -5*n = -y - 25 for n. 5 Solve 2433*f - 6 = -5*x + 2437*f, 3*f = 4*x - 4 for x. -2 Solve 4*y = 462 - 438, 0*i - 2*i + 4 = -y for i. 5 Solve 0 = 2*k - 4*x - 28, 4*k + x + 27914 - 27925 = 0 for k. 4 Solve -3*o = -g + 1, 4*o + 58*g - 63*g - 6 = 0 for o. -1 Solve v + 3 = -2*g, 34*v - 2 = 3*g + 36*v for g. -4 Solve -3*s + 5*k + 31 = 0, 288*s - 287*s - 4*k - 15 = 0 for s. 7 Solve 0 = -5*s + 5*u - 60, 3*s = 218*u - 223*u - 36 for s. -12 Solve 4*f = -5*p - 13, 296*f - 292*f = 2*p + 22 for p. -5 Solve 1510*g = 5*c + 1514*g + 2, -4*g = -4*c + 20 for c. 2 Solve 7*g + 329 = -3*a + 313, -a = 4*g + 7 for g. -1 Solve 80*j - 79*j = -5*u - 21, 4*u + 1 = 15*j for j. -1 Solve -3*d - 34 = g - 13, -g = 2*d + 15 for d. -6 Solve m - 14 = -4*r, 19 + 22 = r + 4*m for r. 1 Solve 237*t = 236*t - 2*s + 2, 3*t + 4*s - 6 = 0 for t. 2 Solve m - 34 = 15*k + 11*k - 18*k, 4*m = 4*k + 24 for k. -4 Solve 0 = r + 5*j, -3*r - 3*j = r for r. 0 Solve 7*w = -5*s + 3, -2801*w + 2800*w = -2*s + 5 for w. -1 Solve 88*l = 89*l - c + 9, 0 = -2*l - 2*c - 6 for l. -6 Solve 2*f - 14 = h, h + 314 = 4*f + 296 for f. 2 Solve -18*a + 86 = -4*k, 0*k + k - 2*a + 13 = -6*a for k. -17 Solve -5*k = 2*m + 5, -30 + 23 = -2*k + m for k. 1 Solve -2*p = 2*u + 2, 4*p - 14 = 1993*u - 1991*u for u. -3 Solve 4*u + 30 - 18 = -4*k, -2*k + 5*u = -22 for k. 1 Solve 0 = -12*a + 24, 12*g + 6 = 14*g + 5*a for g. -2 Solve 6422*o - 6418*o = -y + 19 - 5, -o = 3*y + 13 for o. 5 Solve -4*u + 8 = 0, -203*t + 204*t + 26 = 15*u for t. 4 Solve -4*s - 24 = -4*l, -2*l + s - 21 = 2*s for l. -5 Solve 8*n - o + 25 = 60, -4*n + o + 15 = 0 for n. 5 Solve -4*a + 11*h - 21 = 0, 3*a + 620*h - 615*h = -29 for a. -8 Solve -5*n + 4*m - 106 = 0, -1210*n + 1208*n - 141 = -5*m for n. 2 Solve -5*m + 15*g - 33 = 13*g, -m + 3*g = 17 for m. -5 Solve 4*x - 7 - 2 = -4*a + 5*a - 12, 3*x = -x for a. 3 Solve 11 = 5*j - 2*q, j + 10*j - 3*q = 20 for j. 1 Solve 5*f = -3*w - 3, 5*f - 79199 + 79198 = -4*w for w. 4 Solve 5*g = -4*d + 13, 255 - 258 = -4*d - 3*g for d. -3 Solve 215*m - 208*m + 26 = 5*t, 0 = m + 3 for t. 1 Solve -3*f - 20 = -5*t, 0 = -4*t + 56*f - 61*f - 21 for t. 1 Solve -330*x - 10 = -325*x, 0 = -2*s - 0*x - x + 2 for s. 2 Solve 2454*u + w = 2451*u + 64, -2*u + 3*w + 39 = 0 for u. 21 Solve b = 4*w - 63 + 67, 3*w - 10*b + 40 = 0 for w. 0 Solve 0 = -30*r + 31*r + 3, 11*t = -2*r + 181 for t. 17 Solve -3*c - 5 = -k, 7 = -c + 57*k - 62*k for c. -2 Solve -3*g + 3 = 9*f, -270*f + 5 = -272*f + 5*g for f. 0 Solve -4*s = -4*u + 24, -4*s + 177 - 189 = -7*u for s. -10 Solve 0 = -23*g + x + 76 + 174, 0 = g + x - 14 for g. 11 Solve 3*b = 2*r - 5, -78*b + 125 = r - 104*b for r. -5 Solve -4*h = 3*f + 16, 4*h - 116*f + 16 = -117*f for h. -4 Solve b - 3*i + 25 = 14, 3*b + 13 = 5*i for b. 4 Solve 0 = -2*w, 1742*w - 1740*w - 1 = 2*f + 1 for f. -1 Solve 3*i - 2*g - 31 = 0, 0 = -2856*i + 2860*i - 2*g - 38 for i. 7 Solve 4*l - 2*p = -10, 142*p - 145*p + 15 = 0 for l. 0 Solve 3*f - 1354*b + 1357*b = 3, -3*f = -b + 9 for f. -2 Solve 5*n - 5*c - 15 = 0, 804*n = 809*n + 2*c - 29 for n. 5 Solve 17*l + 7 = 15*l + 5*b, 0 = 2*l + 7*b - 29 for l. 4 Solve -5*w + 3*z - 7 = 0, -7*z + 8*z = -3*w - 7 for w. -2 Solve x - 7 = 2*y, -4*y + 3*x - 239 + 224 = 0 for y. -3 Solve 5*l + 55 = -3*a, 51 = -3*l + 9 for a. 5 Solve 4*r + 24262*q + 32 = 24264*q, 40 = -5*r + 3*q for r. -8 Solve -2*n - 7 = d, 2*n + 339 - 338 = d for d. -3 Solve -2*s + 3*l = 20, s - 257*l + 14 = -255*l for s. 2 Solve 22 = -13*y + 2*a, 3*y + 5*a + 23 - 7 = 0 for y. -2 Solve 4*v = 4*r + 8, -3*v - 4*r - 2 = -6*v for v. 6 Solve 508*x - 510*x + 6 = 4*j, -3*x = 5*j - 6 for j. 3 Solve -y = -z - 2, 6*y + 3*z + 8 = 5*z for y. -3 Solve 4*j - 2*v - 4 = 0, -2*j - 71*v + 70*v = 18 for j. -4 Solve j - 4*n + n - 20 = 0, -3*j = n - 10 for j. 5 Solve -5*q + 28 = -q, 0 = -21*b + 19*b + 2*q - 8 + 2 for b. 4 Solve 3*f + 19 = 2*h, 3453 = 3*h + f + 3430 for h. 8 Solve -6*f + 5*z = 40, -f - 203*z + 204*z = 8 for f. 0 Solve -8*h + 108 = -l - 24, -69 = -5*h + 4*l for h. 17 Solve -2*c + 3*p - 20 = -23, -p = 2*c - 7 for c. 3 Solve 124*z + k = 119*z - 21, 3*z + 3 = -3*k for z. -5 Solve 2*l = -639*x + 649*x - 30, 5*x - 15 = -2*l for l. 0 Solve 2*n = -3*x + 9, -n + 15 = -55*x + 60*x for n. 0 Solve 0 = -4*p + 8, 43*p - 13 = 3*o + 41*p for o. -3 Solve -17 + 7 = 2*z, -2*m - 47 = 7*z - 2*z for m. -11 Solve 9*h = -2*c + 14, -168*c + 173*c + 5*h = 0 for c. -2 Solve 2*k = -74*m + 77*m + 8, 4*k = -5*m + 38 for m. 2 Solve 40*b - 38*b + 2*x - 6 = 0, -x - 12 = -4*b for b. 3 Solve 28 = 4*b + 2*k + 26, 0 = 3*b + 10*k - 95 for b. -5 Solve 0 = 2*y - 5*q - 7, -y + 12068*q = 12067*q - 2 for y. 1 Solve 3*v + 53 = -g, 5*g + 14 + 91 = -5*v for v. -16 Solve 3*y + 5*v = -82, y + v - 2246 = -2262 for y. 1 Solve -8819*h = -8818*h + 4*i + 16, 4*i + 12 = 0 for h. -4 Solve n - 9 = -4*b, -3088*n + b = -3089*n for n. -3 Solve 153*x - 148*x + 12*v = -36, 0 = 2*x + v + 3 for x. 0 Solve 0 = 3*g + 29*l - 28*l - 19, -2*g + 2 = -2*l for g. 5 Solve 0 = 6*p - 2*j + 24, -997*p - 2*j + 4 = -993*p for p. -2 Solve -22*c + 19*c + 18 = 0, 2*n + 26 = 3*c for n. -4 Solve 325*b = 336*b, -b + 15 = -3*w for w. -5 Solve 5*q + 5*y = -25, -6748*q = -6747*q - 2*y + 11 for q. -7 Solve -639*k = -643*k - 8, -4*m - k = -50 for m. 13 Solve -w + 2 - 7 = -l + 3*l, 2*w + 5*l = -15 for w. 5 Solve -4*y + 13*n = 9*n - 32, 3*n + 6 = 0 for y. 6 Solve -5*l = -25, 44*w - 43*w + 13 = 3*l for w. 2 Solve -5*h - 37 = 46*a - 47*a, -5*h + 7 = 21*a for a. 2 Solve 4*u + 48 = -4*x, -164*u - 6 = -166*u + x for u. -2 Solve -11*k + 6*k + 2*d + 13 = 0, 4*k - 24 = 5*d for k. 1 Solve -3*h + 97 = 2*x, -157 = -1293*x + 1292*x - 5*h for x. 2 Solve -2 = 4*l + 2*v + 4, 0 = 2*l - 4*l + 4*v + 2 for l. -1 Solve -2*z + 4*o - 5*o + 20 = 7, -152 = -25*z - 2*o for z. 6 Solve -8 = 4*g - 2*t, 945*g - 946*g - 7*t = 47 for g. -5 Solve z = -4*a - 14, 5*a + 176*z - 177*z + 22 = 0 for a. -4 Solve 3*x - 232 = 5*u - 256, -32 = -4*x - 4*u for x. 2 Solve -4*q + 11 = 3*p, 2*q + 27 = -21*p + 26*p for q. -1 Solve -2*k + 5 = t, -10*k + 5*t + 39 - 4 = 0 for k. 3 Solve 5*s = 4*w + 9332 - 9349, 3*w - 2*s = 11 for w. 3 Solve -h - 26*w - 312 + 307 = 0, h + 3*w = -5 for h. -5 Solve 0 = -208*l + 210
{ "pile_set_name": "DM Mathematics" }
1 (b) 0 (c) i a Let n = 49/2 + -249/10. Let w = 1.7 + 2.8. Let j = w - 4. What is the second smallest value in j, n, 6/5? j Let m = -15.07 - -15. Let u = m + -0.13. What is the biggest value in 3, u, -1/2? 3 Let m = -7.6 + 4.6. What is the fourth biggest value in 3, m, 0.2, -0.3? m Let d = 3 + -2.8. Let b = 0.17 + -1.17. Let p = 0.06 + -0.46. What is the third smallest value in p, d, b? d Suppose -h = -3*r + 7, -h - 2*h = r + 1. Suppose -m + 2*m + r = 0. Let v = -0.2 + -0.2. What is the third biggest value in -3, m, v? -3 Suppose -5*j = 2*g + 22, 4*g + 2*j - 36 = 6*g. Let d = g - -33/2. Let u = 119 + -597/5. Which is the second biggest value? (a) u (b) 3 (c) d c Let n = 24.9 + -26. Let l = -3.1 - n. Which is the third biggest value? (a) l (b) 1 (c) -4/7 a Let i(c) = c - 8. Let g be i(7). Let s be 2/5 - (-23682)/(-80). Let m = 296 + s. What is the second smallest value in 2, m, g? m Let x = -8 - -10. Let a(n) = -2 + 4 - 2*n**x - 7*n + 3*n**2. Let t be a(7). What is the biggest value in t, -0.4, 2/7? t Let y = -2 - -7. Suppose y*l + 8 = l. Let j = l + -2. What is the third smallest value in j, 5, 1/5? 5 Let h = 37 - 112/3. Which is the third smallest value? (a) h (b) 2 (c) 4 c Suppose 5 = -t - 0*z - 5*z, t - 4*z = 4. Let n(h) = h**3 + 3*h**2 - 8*h - 19. Let b be n(-3). Let o = -0.5 - -1. What is the biggest value in t, o, b? b Let f = -2 - -6. Suppose 0 = 4*g + 2*n + 4, -3*g + 7*n - 3 = 2*n. Let m = 5.3 - 2.3. What is the smallest value in g, f, m? g Let a = 6 + -5.6. Let j = 16 + 2. Let s = 13 - j. What is the third smallest value in a, -3, s? a Let p be ((-26)/(-234))/(1/3). What is the biggest value in 0.4, -42, p? 0.4 Let a = -0.6 + 0.67. Let k = -1.73 - a. Let w = k - -2. What is the second smallest value in -3, 1/4, w? w Let f = 12.4 - 12.97. Let d = -0.6 - f. Let q = d + -3.97. Which is the biggest value? (a) 4 (b) -0.4 (c) q a Let n be (-60970)/(-123981) - 4/(-22). Let h = n - 2/289. Let d be (-2)/(-5) - (-84)/(-135). What is the third smallest value in -4, d, h? h Let k be 0 + (4 - (-2 - -4)). What is the second smallest value in -3/2, k, -0.2? -0.2 Let w = -0.39 + -0.11. What is the second smallest value in 1/11, -2/5, w? -2/5 Let s = 121/105 - 13/15. Let h = 0.3 - 0.3. Let f = h - 0.2. Which is the third smallest value? (a) f (b) s (c) 2/5 c Let t be (-40)/(-15)*(-9)/42. What is the third biggest value in t, -0.4, 4? t Let z = -14 - -13. What is the third smallest value in z, 3, 6, 0? 3 Suppose 0 = w + p + 5, w + 13 = -3*p. Let j be -3*(w - (-8)/6). What is the second biggest value in -2/7, 5, j? -2/7 Suppose 0*v = 3*v - 6. Suppose -m = -v*m - 5. Let o be 1/(-1*(-1)/m). Which is the third biggest value? (a) 4 (b) o (c) -2 b Let z = 9.1 - -2.9. Let x = -12.2 + z. Which is the third biggest value? (a) 0.5 (b) 4 (c) x c Let v be ((-3)/(-9)*0)/1. Suppose v = -5*i - y + 12, 0 = -5*i + 4*y + 4 - 2. Let j be (-1)/(-4)*8/6. Which is the third biggest value? (a) i (b) j (c) -3 c Let r = 0 + 5. Let l = -15.14 - -15. Let i = 1.14 + l. Which is the second smallest value? (a) r (b) i (c) -2/5 b Let t = 4 + -4. Which is the third biggest value? (a) -0.4 (b) t (c) -1/11 a Let p be (-1 + -7)*3/18. What is the smallest value in p, 0.1, -2/7, -2/13? p Let f = -1.65 + -0.05. Let p = 2 + f. Which is the second smallest value? (a) -5 (b) p (c) 0.4 b Let o = 6 + 3. Suppose o = c + 8. What is the second smallest value in -2, c, 5? c Let i be (1/(-2) - 0)/(-2). Let w = 1.93 - -0.07. Which is the third smallest value? (a) i (b) w (c) -8 b Let z = -12 + 12. Which is the third smallest value? (a) -0.3 (b) z (c) 0.4 c Let j(i) = 48*i + 15. Let f be j(5). Let m = -965385 - -18347162/19. Let x = f - m. What is the third biggest value in -2/3, 0, x? -2/3 Let l = -5 - -1. Let f be 9/4 - (-1)/l. Let r = -0.18 + 0.48. Which is the third biggest value? (a) f (b) 5 (c) r c Let g be (-4)/(-12) - -14*(-6)/(-72). Let j = 0.2 - 0. What is the second smallest value in 1, j, g? 1 Let p be (-2)/(-2) - (-12)/4. Suppose 5*l = 5, -5*q + 4 = -q + 4*l. Which is the smallest value? (a) q (b) p (c) 1/2 a Let a be -18 - -19 - (0 + 4/3). What is the second biggest value in 6, a, -4? a Let m = 2 + -0.5. Let d = 0.5 + m. Let u be 3 + -3 - 2/6. Which is the smallest value? (a) 4 (b) d (c) u c Let d = -3.1 + 0.1. Let z = 48 - 48.4. Which is the third smallest value? (a) z (b) d (c) 5 c Let w = -3.5 + 3. Let z(k) = -k**2 + 3*k - 2. Let o be z(2). Let c be (2 + -4 + o)/9. What is the second biggest value in c, -0.3, w? -0.3 Let l be (-14)/15 + (-14)/(-42). What is the biggest value in 5, l, 1.4? 5 Let h = -12 + 10.8. Let t = 1.3 + h. What is the biggest value in -3, 0.3, t? 0.3 Suppose 0 = 3*w + 3*k - 10 + 124, 4*w + 2*k + 144 = 0. Let o be w/8 + 9/(-12). Which is the third biggest value? (a) 5 (b) 0.3 (c) o c Suppose i + 3 = 2*i. Let v(f) = 6 + f + 3 - 2. Let q be v(-5). Which is the third biggest value? (a) -4 (b) q (c) i a Let m = -4 + 5.5. Let r = 1.5 + m. Which is the smallest value? (a) r (b) -7 (c) -5 b Let o = -3269/1157 - 84/89. Let l = o + 905/247. What is the biggest value in -4, -0.2, l? l Let g = -0.7 - -0.3. What is the second biggest value in g, -2, 0.1? g Let q = -7.2 - -7.3. Which is the second smallest value? (a) q (b) -0.3 (c) 5 (d) -4 b Suppose 25 = 5*u, -5 = -3*p + u - 5*u. Which is the smallest value? (a) 3 (b) p (c) -1 b Suppose -2*m = -0*m. Suppose -2*g - 5*f + 4 + 1 = m, -4*f - 8 = 4*g. Which is the second biggest value? (a) g (b) 1/6 (c) 1/5 b Suppose 4*l = 1 - 13. Let g be (4/(-12))/(7/l). Let s = -5 + 8. Which is the biggest value? (a) 0.4 (b) g (c) s c Let h = 31 + -31. Let b = -8 + 3. What is the third smallest value in 0.5, b, h? 0.5 Let x be (-2)/4*10/15. Let z = -1/9 - x. Let m = 4 - 6. Which is the biggest value? (a) 3/7 (b) m (c) z a Let d be 6/(-5) + 6/10. Let b = 0.05 - 0.05. What is the second smallest value in d, b, -4? d Let f = 1.4 + -0.4. Let n = -23 + 22.6. Which is the third smallest value? (a) f (b) n (c) 2/7 a Suppose -4 = -3*d + 8. Let k = -464 - -464.5. What is the third smallest value in -2/13, d, k? d Let i = 2.5 + -1.78. Let r = i - 7.92. Let y = r + 7. Which is the second smallest value? (a) y (b) -3/5 (c) 0.5 a Let f = -0.3 + -1.7. Let j = -0.23 + 3.23. Let k = j + f. What is the third biggest value in 0.4, k, -0.1? -0.1 Let g(s) = s**3 + 10*s**2 + 8*s - 3. Let x = -9 - 0. Let j be g(x). Which is the biggest value? (a) j (b) 0.4 (c) 4 a Let k(d) = d**2 + 13*d + 12. Let q be k(-12). Let r be 1 - q - 92/84. What is the smallest value in 4, 4/5, r? r Let v = 5 - 0. Let r be (2 + -1)*(-1 - 2). Let t = r + 6. Which is the second smallest value? (a) 4 (b) t (c) v a Let s = 0 - 0. Let o = 0.2 - -0.8. Let f = 2 + o. What is the third biggest value in f, -4, s? -4 Let v = 0.036 - -0.064. What is the smallest value in v, 2, 3? v Let l be (-24)/12 + 0 + 1. Let q be 2*(20/(-32) - l). What is the third biggest value in q, -2/15, -1/2? -1/2 Let f = -5/6 - -1/3. What is the second smallest value in f, -1/9, 1/11? -1/9 Let d = 0.015 + 6.285. Let a = -6 + d. What is the biggest value in a, 2/7, 5? 5 Let y = 3.8 + 8.2. Which is the third biggest value? (a) y (b) -4 (c) -1 b Let o = 5.7 + -9.7. Let y = -15/2 - -5. Which is the third smallest value? (a) o (b) 0.4 (c) y b Suppose 4*i - 54 = 2*i. Let a be i/(-18)*4/6. Let t = 5 - 1. What is the smallest value in -3, t, a? -3 Let w = 14 - 34. Let i = w - -17. What is the second smallest value in -2/11, 6, i? -2/11 Let s = 36.9 + -29. Let r = s + -8. What is the smallest value in r, 2, -1/5? -1/5 Let g be ((-1)/5)/((-20)/(-25)). What is the third smallest value in 5, -4, g? 5 Let x(q) be the third derivative of q**4/24 + 5*q**3/6 - 11*q**2. Let g = -8 + 2. Let w be x(g). Which is the second biggest value? (a) 0 (b) w (c) 4 a Suppose -4*j = 24 - 28. Let i be 8/5 + 4/10. Which is the second biggest value? (a) i (b) 1/3 (c) j c Let w = 1.3 + -1. Let n = -0.04 + -7.96. Which is the third smallest value? (a) -5 (b) w (c) n b Let g be 10/(-8) - 3/(-12). Let b = -5 - -4. Let i = b + -3. What is the second biggest value in 0, g, i? g Let t = 2.5 + -3. Let b = -2.691 + 0.191. Let r = b + t. What is the third bigge
{ "pile_set_name": "DM Mathematics" }
6. -11/3 What is 35714 divided by -1? -35714 What is -507 divided by 2? -507/2 3 divided by -652 -3/652 263 divided by 3 263/3 What is -1725 divided by -5? 345 What is 4479 divided by -3? -1493 0 divided by -59 0 -2 divided by -171 2/171 1080 divided by 4 270 Divide -1980 by -2. 990 Divide 0 by 19. 0 What is 26 divided by -2? -13 -270 divided by -15 18 Calculate -38 divided by -4. 19/2 Divide -191 by 6. -191/6 -104 divided by 52 -2 Calculate 1440 divided by -5. -288 Divide 4716 by 262. 18 -5 divided by -2454 5/2454 What is 273 divided by -3? -91 2 divided by -234 -1/117 1 divided by 22 1/22 Divide 3128 by 184. 17 What is -17729 divided by -3? 17729/3 Divide -4550 by 455. -10 Divide 0 by 117. 0 Divide 147570 by -3. -49190 -22720 divided by -710 32 What is -117 divided by 1? -117 -128 divided by 64 -2 -243 divided by 3 -81 What is -346 divided by -21? 346/21 What is -4910 divided by -982? 5 Divide -382 by -2. 191 Calculate 2 divided by 1960. 1/980 -5 divided by 156 -5/156 21384 divided by -2376 -9 5 divided by 187 5/187 1016 divided by -4 -254 -3 divided by 3785 -3/3785 Divide -5 by -7742. 5/7742 Calculate -632 divided by -79. 8 What is -4 divided by 366? -2/183 -61 divided by -89 61/89 -1 divided by 100 -1/100 Calculate 25 divided by 4. 25/4 Divide 1904 by -4. -476 Divide 101 by 5. 101/5 Calculate -8 divided by -86. 4/43 Calculate 9264 divided by -6. -1544 Divide -1128 by -3. 376 Calculate -37608 divided by 4. -9402 Calculate 53 divided by -14. -53/14 Divide 208 by -16. -13 2349 divided by -783 -3 Divide -1337 by 1. -1337 Calculate -3367 divided by -37. 91 Divide -3 by 1118. -3/1118 Calculate -1836 divided by 204. -9 13270 divided by 2654 5 Divide 408 by -102. -4 Divide -813 by -2. 813/2 What is -824 divided by 103? -8 Calculate -582 divided by 582. -1 6 divided by -6 -1 What is -1820 divided by 3? -1820/3 Calculate 1165 divided by -233. -5 729 divided by 81 9 What is 28 divided by 12? 7/3 What is 5 divided by 9? 5/9 Divide 440 by 44. 10 Divide 3416 by -61. -56 660 divided by 5 132 -5370 divided by -6 895 Divide 195 by -5. -39 Divide 9 by -26. -9/26 Divide 0 by -340. 0 Divide 14567 by -3. -14567/3 Divide 20057 by 31. 647 Divide 1005 by 3. 335 What is 456 divided by -3? -152 Calculate 5 divided by 561. 5/561 Calculate -1210 divided by 242. -5 Divide 6 by 1. 6 Calculate -308 divided by 28. -11 What is 721 divided by 2? 721/2 What is 216 divided by 1? 216 What is -2 divided by 5746? -1/2873 -505 divided by -1 505 -6 divided by 29 -6/29 1 divided by 14 1/14 Divide 0 by 1520. 0 What is 545 divided by 5? 109 Divide 120 by 8. 15 -183 divided by 61 -3 297 divided by 6 99/2 -1 divided by 90 -1/90 What is 40 divided by -85? -8/17 What is 14 divided by 20? 7/10 Calculate -1275 divided by 5. -255 What is -13104 divided by -63? 208 What is -42 divided by 24? -7/4 4125 divided by 11 375 Divide 52 by -64. -13/16 -8751 divided by -2 8751/2 Divide -77 by 6. -77/6 Calculate 8534 divided by 3. 8534/3 Calculate 1833 divided by -3. -611 Calculate 4526 divided by -1. -4526 Calculate 0 divided by 20. 0 What is -3 divided by -568? 3/568 -38306 divided by 214 -179 Calculate -185 divided by 37. -5 Divide 233 by -1. -233 Calculate -13142 divided by -5. 13142/5 What is -499 divided by -6? 499/6 What is 4 divided by -6? -2/3 Divide -21 by -131. 21/131 Divide 0 by 151. 0 Calculate -3680 divided by -5. 736 What is -5360 divided by -2? 2680 17644 divided by -4411 -4 Calculate -19528 divided by 4882. -4 Calculate 0 divided by -86. 0 Calculate -1 divided by 1093. -1/1093 What is -7 divided by 27? -7/27 What is -514 divided by -2? 257 Divide 931 by -8. -931/8 -352 divided by 88 -4 -3 divided by -585 1/195 Calculate 8764 divided by -7. -1252 Calculate -165 divided by -33. 5 624 divided by 208 3 Calculate -1750 divided by 350. -5 Calculate -193 divided by -6. 193/6 58 divided by -2 -29 Calculate -420 divided by 7. -60 Calculate -283 divided by 4. -283/4 What is 11816 divided by 2? 5908 Divide 48 by -24. -2 -145 divided by -2 145/2 What is -93130 divided by -5? 18626 29 divided by 12 29/12 What is 222 divided by 2? 111 Divide 1210 by -605. -2 2720 divided by 340 8 Divide 32 by -32. -1 Calculate 3 divided by -15. -1/5 Calculate 3916 divided by -4. -979 Divide -4 by -20. 1/5 Calculate -3930 divided by -6. 655 Calculate 186 divided by 62. 3 Calculate 147 divided by -147. -1 What is 160 divided by -6? -80/3 2326 divided by -6 -1163/3 Calculate -261 divided by -29. 9 Calculate 2340 divided by 468. 5 What is 1952 divided by -976? -2 Calculate -210 divided by -210. 1 Calculate -1 divided by 181. -1/181 28 divided by 5 28/5 171 divided by -5 -171/5 What is -736 divided by -46? 16 What is -1 divided by 228? -1/228 What is 4 divided by 1036? 1/259 -2233 divided by 7 -319 What is -134 divided by 1? -134 Calculate -814 divided by -11. 74 What is -60 divided by -20? 3 Calculate -658 divided by -7. 94 Divide 1 by 1. 1 Calculate -209 divided by 209. -1 Divide 291 by -1. -291 900 divided by -4 -225 -42 divided by 7 -6 Divide -28 by 7. -4 Divide -715 by -1. 715 What is -5 divided by 590? -1/118 93 divided by -13 -93/13 Divide -5757 by -1. 5757 Calculate -48 divided by 5. -48/5 -12505 divided by -205 61 Divide 138 by -38. -69/19 -762 divided by 5 -762/5 115 divided by -9 -115/9 Divide 85 by -17. -5 Divide 17 by -76. -17/76 What is 9 divided by 123? 3/41 2310 divided by -5 -462 Calculate 11 divided by 5. 11/5 Divide 17 by -15. -17/15 72 divided by 3 24 Calculate -588 divided by -6. 98 Calculate -65 divided by 8. -65/8 Divide -90 by -1. 90 What is 17135 divided by -5? -3427 11819 divided by 6 11819/6 What is 684 divided by 171? 4 Calculate 0 divided by 2335. 0 Divide 3 by -262. -3/262 328 divided by 8 41 Divide 168 by 42. 4 Divide 145 by 39. 145/39 Calculate 105 divided by -15. -7 Divide -29496 by -1. 29496 Divide 0 by -660. 0 Divide 912 by -2. -456 Calculate -3483 divided by -5. 3483/5 -4 divided by 962 -2/481 209 divided by 5 209/5 Divide -455 by -7. 65 17 divided by 21 17/21 -1224 divided by -102 12 Calculate -13056 divided by -2176. 6 171 divided by -7 -171/7 177 divided by 3 59 -5391 divided by 3 -1797 Divide -2870 by 410. -7 What is -1500 divided by -75? 20 Divide 3 by 33. 1/11 1 divided by 183 1/183 What is 4 divided by 56? 1/14 870 divided by -174 -5 What is -700 divided by -25? 28 Calculate 65 divided by -5. -13 What is -564 divided by 141? -4 What is -1085 divided by 31? -35 Calculate 40 divided by 5. 8 Divide 0 by 8. 0 13 divided by -102 -13/102 0 divided by -8 0 2340 divided by -5 -468 What is 2 divided by -19? -2/19 6040 divided by 40 151 -101 divided by -111 101/111 What is -47 divided by -47? 1 Calculate -184 divided by 23. -8 0 divided by -239 0 Divide 884 by -221. -4 Calculate -14138 divided by 3. -14138/3 Divide -139 by 90. -139/90 Divide -5 by 153. -5/153 Calculate 0 divided by -3121. 0 Calculate -495 divided by 55. -9 Calculate 150 divided by -30. -5 Divide 1 by 76. 1/76 Calculate 4413 divided by 3. 1471 Calculate -461 divided by -13. 461/13 Divide 3 by -2217. -1/739 83 divided by 6 83/6 Calculate -614 divided by 307. -2 Calculate -2005 divided by -401. 5 Calculate 15 divided by -3. -5 Divide 379 by -1. -379 Divide 440 by 55. 8 9 divided by 9 1 -1015 divided by -1 1015 What is 578 divided by -23? -578/23 16 divided by 15 16/15 What is -4 divided by -189? 4/189 What is -64 divided by -1? 64 Calculate 3516 divided by 5. 3516/5 5 divided by -53 -5/53 What is -1496 divided by 17? -88 124 divided by 31 4 What is -2504 divided by 8? -313 Calculate -423 divided by 1. -423 401 divided by -1 -401 285 divided by -95 -3 -1770 divided by 354 -5 Calculate 2422 divided by 1211. 2 Calculate 1 divided by -435. -1/435 Calculate 201 divided by 3. 67 Calculate 2620 divided by 524. 5 What is -3 divided by -25? 3/25 Divide 44 by -26. -22/13 Divide -2 by -5. 2/5 Divide -341 by -1. 341 Calculate -2048 divided by 4. -512 What is -21 divided by 18? -7/6 What is 92 divided by -6? -46/3 -4 divided by 12 -1/3 What is -421 divided by -14? 421/14 Calculate -390 divided by -29. 390/29 0 divided by 2780 0 -1 divided by 1949 -1/1949 Divide 203 by 29. 7 What is 2 divided by 2312? 1/1156 -360 divided by 72 -5 Divide -5 by -395. 1/79 Calculate -260 divided by -2. 130 Divide -4136 by 94. -44 Divide 8 by -26. -4/1
{ "pile_set_name": "DM Mathematics" }
et a(i) = -1. Let t(d) = 2*d - 4. Let y(o) = -4*a(o) + t(o). Let j(p) be the second derivative of -p**4/4 + 2*p**3 + 12*p. Determine j(y(l)). -12*l**2 + 24*l Let j(r) = -898 + 898 + 461*r. Let a(k) = 2*k**2. Determine a(j(y)). 425042*y**2 Let o(y) be the first derivative of -7*y**6/72 - 11*y**3/3 - 22. Let v(l) be the third derivative of o(l). Let h(s) = s. Calculate v(h(k)). -35*k**2 Let x(u) = -33*u**2. Let s(w) = 5*w**2 - 3. Suppose -2*h - 14 = 3*k, 4*h - 6*h = 2*k + 16. Let i(p) = 16*p**2 - 10. Let j(y) = h*s(y) + 3*i(y). What is j(x(b))? -2178*b**4 Let j(b) be the third derivative of b**4/24 - 2*b**2 - 23. Let u(d) = 135*d. Calculate u(j(n)). 135*n Let y(t) be the first derivative of -3*t**3 + 751. Let q(m) be the second derivative of 0*m**2 + 0 - m + 1/3*m**3. Determine y(q(b)). -36*b**2 Let w(f) be the first derivative of 6483*f + 37 - f**2 - 6483*f. Let k(g) = -15*g**2. Give w(k(r)). 30*r**2 Let o(u) = 66*u**2. Let h(l) = 238*l**2. What is o(h(n))? 3738504*n**4 Suppose 0 = -2*w - 4*b + 12, 14 = 4*w + 3*b + 5. Let o(l) be the second derivative of -3/2*l**3 + w + 0*l**2 + 3*l. Let p(r) = -r. Give o(p(t)). 9*t Let c(g) = -296*g - 15. Let n(x) = -4*x**2. Calculate c(n(i)). 1184*i**2 - 15 Let c(t) = 17*t + 2. Let i(s) = -1467*s**2. What is i(c(v))? -423963*v**2 - 99756*v - 5868 Let u(a) = -328*a. Let r(m) = 10 + 7*m**2 - 3 - 7 - 9*m**2. Calculate u(r(n)). 656*n**2 Let y(r) = -r**2 - r + 1. Let q(l) = -6*l**2 + 2*l - 2. Let v(w) = q(w) + 2*y(w). Let h(g) = 108*g + 115*g - 345*g + 120*g. Determine h(v(k)). 16*k**2 Let v(t) = 2*t. Let h(i) be the first derivative of -19 + 0*i**2 + 7/3*i**3 + 0*i. Determine v(h(d)). 14*d**2 Suppose -2 = 17*f - 16*f. Let s(a) = -4*a - 3. Let w(h) = -3*h - 2. Let u(i) = f*s(i) + 3*w(i). Let l(r) = 5*r**2. What is u(l(m))? -5*m**2 Let f(p) = -17*p**2 - 15*p**2 + 29*p**2. Let v(n) = -2*n**2 - 3*n - 3. Let h(l) = 9*l + 6 + 4 + 5*l**2 + l. Let t(y) = 3*h(y) + 10*v(y). What is t(f(q))? -45*q**4 Let x(j) = 386 - j - 768 + 382. Let b(t) = -21*t**2. What is b(x(q))? -21*q**2 Let m(q) = -7*q. Let i = 19 + 0. Let y(b) = -i - 3*b + 19 + 7*b. What is m(y(l))? -28*l Let r(k) = k**2. Let d = 22 + -17. Suppose -d*v = 3*s - 13, 0 = 4*v - 0*v + 4*s - 4. Let i(f) = 5 - 3*f + 4*f - v. Determine i(r(b)). b**2 Let c(o) = -106*o + 319*o - 107*o + 14 - 40 - 108*o. Let x(w) = -10*w. What is c(x(n))? 20*n - 26 Let q(x) = -11*x + 6. Let w(o) = -55*o + 6. Determine q(w(j)). 605*j - 60 Let p(f) = -542*f**2 - 206*f + 5. Let u(b) = -2*b**2. What is p(u(m))? -2168*m**4 + 412*m**2 + 5 Let g(u) = 4952*u**2. Let x(n) = 10*n. Give g(x(d)). 495200*d**2 Let o(s) = -9*s**2. Let a(k) be the second derivative of 4*k**3/3 + 26*k + 3. Calculate a(o(f)). -72*f**2 Let j(n) = n**2 - 203*n. Let v(y) = -1253*y. What is v(j(q))? -1253*q**2 + 254359*q Let q(b) be the third derivative of -b**4/6 - 822*b**2. Let n(x) = -58*x. What is n(q(o))? 232*o Let a(i) = -3946*i**2. Let b(t) = 26*t**2. Determine a(b(n)). -2667496*n**4 Let c(g) = 195*g. Let k(r) = 6051*r. Give k(c(y)). 1179945*y Let x(t) be the first derivative of 7/3*t**3 + 0*t + 0*t**2 - 25. Let q(h) = -2*h**2. Determine x(q(c)). 28*c**4 Let s(g) = g. Suppose 0 = -3*t - 1 + 40. Let w(j) = t*j - 2*j + 8*j - 2*j. Determine s(w(d)). 17*d Let y(g) = 23*g**2 - 3*g + 3. Let a(h) = -7*h**2 + h - 1. Let d(w) = 3*a(w) + y(w). Let n(i) = 2*i + 94. Calculate d(n(t)). 8*t**2 + 752*t + 17672 Let t(o) = -3*o**2. Let f(v) = 168934*v. Give f(t(y)). -506802*y**2 Let u(p) = -65*p - 2. Let t(h) = -88*h**2. Give t(u(k)). -371800*k**2 - 22880*k - 352 Let k(h) = 4*h. Suppose -105*w + 282 = 72. Let n(l) be the second derivative of 0*l**w + 0*l**3 + l - 1/4*l**4 + 0. Calculate n(k(y)). -48*y**2 Let i(t) = 5*t - 6*t + 5*t - t. Let n(u) be the third derivative of u**4/4 + 12*u**2. Calculate n(i(q)). 18*q Let i(m) be the second derivative of -m**4/12 - 77*m. Let u(a) = -2*a - 32. Determine u(i(q)). 2*q**2 - 32 Let y(g) = -1213*g**2. Let k(l) = 35*l. Calculate y(k(q)). -1485925*q**2 Let g(r) = 17*r. Let o(a) be the third derivative of 3*a**4/2 - 52*a**2. What is g(o(i))? 612*i Let t = -33 - -60. Let k(h) = t*h**2 - 22*h**2 - 22*h**2. Let f(u) = -2*u. Determine f(k(s)). 34*s**2 Let v(c) = -c. Suppose -133 + 221 = 22*w. Let i(z) be the third derivative of 0 - 4*z**2 - 1/2*z**w + 0*z**3 + 0*z. Calculate i(v(y)). 12*y Let m(w) = -6*w**2. Let y(f) = f**2. Let t be 2076/(-1557) - -7*(-2)/(-6). Suppose 0 = h - 7 + 4. Let q(l) = h*y(l) + t*m(l). Let d(g) = g. Determine q(d(c)). -3*c**2 Let v(s) be the third derivative of s**4/8 + 16*s**2. Let t(n) = 12*n**2. Give t(v(k)). 108*k**2 Let t be ((-187)/(-165) - 1)/8. Let o(r) be the third derivative of 0 - 7*r**2 - t*r**5 + 0*r**3 + 0*r + 0*r**4. Let u(d) = -11*d. Calculate u(o(m)). 11*m**2 Let p(g) = -4*g**2. Let t(k) = -44*k**2 - 39*k**2 + 79*k**2. What is t(p(z))? -64*z**4 Let q(b) = 11*b. Let g(s) = -s**2 - s + 53. Determine g(q(r)). -121*r**2 - 11*r + 53 Let v(o) = 7*o + o**2 - 2*o**2 - 7 + 5. Let w be v(6). Let b(n) = -2*n - w*n + 4*n. Let d(k) = 7*k. Give b(d(t)). -14*t Let y(j) = -9*j**2 + 7*j. Let k(t) = 5*t**2 - 4*t. Let x(c) = -7*k(c) - 4*y(c). Let d(q) = -7*q - 4. Calculate x(d(m)). 49*m**2 + 56*m + 16 Let a(b) = 3*b**2. Let k(s) = 24*s - 27. Let t(m) = m - 9. Let o(u) = -k(u) + 3*t(u). Calculate o(a(p)). -63*p**2 Let k(i) = 5*i**2. Suppose -13*y - 188 = -17*y. Let g(d) = -y*d - 36*d + 99*d. Give k(g(o)). 1280*o**2 Let f(q) = -4 + 2 + 2*q**2 + 2. Let i(d) be the third derivative of -23*d**4/24 - 31*d**2. Give f(i(o)). 1058*o**2 Let a(c) be the second derivative of c**3/2 + 3*c + 13. Let z(o) = -o**2 + 1. Let l(g) = 2*g**2 - 5. Let p(q) = -l(q) - 5*z(q). What is p(a(f))? 27*f**2 Let s(f) = -14*f**2 + 16*f. Let l(j) = j**2. What is s(l(x))? -14*x**4 + 16*x**2 Let f(q) be the third derivative of q**4/24 + 19*q**2. Let a(n) = n - 1. Calculate f(a(u)). u - 1 Let z(l) = 2*l. Let y be (5/(-20))/((-3)/12). Let w(u) = y + 0 + 14*u - 1. Give w(z(d)). 28*d Let a(g) = 5*g**2. Let b(z) = 15911*z**2. What is a(b(q))? 1265799605*q**4 Let g(r) = r + 38. Let l(s) = 439*s. Give l(g(h)). 439*h + 16682 Let l(g) = -g**2 + g**2 + 7*g**2 + g**2 + 3*g**2. Let m(h) = -10*h. Determine l(m(r)). 1100*r**2 Let r(f) = 518*f + 1. Let y(x) = -2*x**2 + 3*x + 18. Let u(s) = -3*s**2 + 5*s + 30. Let d(p) = -3*u(p) + 5*y(p). Give d(r(z)). -268324*z**2 - 1036*z - 1 Let i(t) = -22 + 30 + 28*t**2 - 33*t**2 - 8. Let n(v) = 37*v + 1. Determine n(i(p)). -185*p**2 + 1 Let c(r) = -3*r**2 - 3*r. Let i(d) = -4*d**2 - 10*d + 20. Let o(j) = 6*j**2 + 16*j - 32. Let l(z) = -8*i(z) - 5*o(z). Calculate c(l(t)). -12*t**4 - 6*t**2 Let z(k) be the second derivative of k**6/240 - 3*k**4/4 - 18*k. Let s(v) be the third derivative of z(v). Let f(o) = 9*o**2. What is f(s(c))? 81*c**2 Let j(k) = 2*k. Let q(b) be the second derivative of -11/12*b**4 + 0*b**3 + 0*b**2 + 25*b + 0. Calculate q(j(r)). -44*r**2 Let m(d) = 3*d. Let l(f) be the second derivative of -19*f**4/12 + 37*f. What is m(l(h))? -57*h**2 Let p = 61 + -34. Let a(z) = 3*z + p - 27 - 2*z. Let u(d) = 0*d**2 - d**2 - d**2 - d**2. Calculate a(u(x)). -3*x**2 Let f(u) be the third derivative of u**5/10 + 28*u**2. Let w(j) = -8*j**2. Calculate w(f(o)). -288*o**4 Let v(n) = -26*n**2 - 3. Let o(r) = -282*r**2. Give v(o(u)). -2067624*u**4 - 3 Let r(s) = -33*s**2. Let l(f) = 14*f - 21. Determine r(l(a)). -6468*a**2 + 19404*a - 14553 Let u(s) = -15 - 884*s + 885*s + 15. Let v(x) = 350*x. Calculate v(u(n)). 350*n Let x(z) = -2*z**3 - 5*z**2 - z + 2. Let h be x(-3). Let i(j) = 7*j + 3*j + 7*j - h*j. Let l(o) = -9*o. What is l(i(u))? -27*u Let v(u) = 3*u. Let w(j) = -7*j**2 - 6. Let s(z) = 5*z**2 + z + 4. Let i(k) = 3*s(k) + 2*w(k). What is v(i(q))? 3*q**2 + 9*q Let n(k) = 621*k. Let r(y) = 65*y. Calculate r(n(l)). 40365*l Let n = -38 + 47. Let q(s) = -9*s + 25*s - n*s - 8*s. Let y(r) = -r. Let h(d) = 2*d**2 + 3*d. Let k(b) = 2*h(b) + 6*y(b). Give q(k(a)). -4*a**2 Suppose -2*s - 40 = -5*l, 4*l - 5*s = 44 + 5. Let t(z) = -16*z + 5*z + 6*z + l*z. Let p(h) = 7*h**2 + 1. Determine t(p(c)). 7*c**2 + 1 Let b(f) = 87*f. Let p(z) = -728*z**2. Determine p(b(k)). -5510232*k**2 Let f(q) = -501*q**2 + 253*q**2 + 252*q**2. Let c(z) = -17*z**2 + 64 - 64. What is f(c(j))? 1156*j**4 Let d(j) = -j. Let p(y) =
{ "pile_set_name": "DM Mathematics" }
-5*a - x + 4 = -m, a = -5*x - 13. What are the prime factors of a? 2 Suppose -14 = s + 3*v, 0*s - 5*s - 2*v = 5. Suppose -4 = -2*j + 4*n, j + 2*n = 3 - 5. Suppose 0 = -3*y - 4*q + 17, -s + j = q. List the prime factors of y. 7 Let v(j) = -j - 3. Let d be v(-2). Let q = 11 - d. Suppose 3*l = -2*h + 29, -2*l + 24 = 3*h - q. List the prime factors of h. 2, 5 Suppose -15 = -3*w, -5*w - 11 = 4*l + 20. Let r be 1 + l - (1 - 3). Let y = 16 + r. What are the prime factors of y? 5 Let d = -1 - -29. What are the prime factors of d? 2, 7 Suppose -v - 3*v + 100 = 0. List the prime factors of v. 5 Let f(z) = -z**3 - 4*z**2 + z. Let a be f(-4). Let x = 4 + a. Suppose -4*d + 8 = -x. List the prime factors of d. 2 Let k = -46 - -166. What are the prime factors of ((-3)/(-2))/(5/k)? 2, 3 Let h(c) = 7*c - 1. Let q be h(-1). What are the prime factors of 54/q*8/(-3)? 2, 3 Let h(l) = -6*l**2 + l**3 + 4 - 2 + 2*l + 0*l. What are the prime factors of h(6)? 2, 7 Let g(z) = -12*z - 11. What are the prime factors of g(-5)? 7 Let m = -8 + 53. Suppose -4*w - w + 2*b = -35, 5*w = 4*b + m. What are the prime factors of w? 5 Let o be (-9)/(-5) + 6/30. Suppose 6*c + o*s - 56 = c, 5 = 2*c - 5*s. List the prime factors of c. 2, 5 Suppose 19*s - 11*s - 2152 = 0. List the prime factors of s. 269 Let c(r) = 2*r**3 - 2*r**2 - 2*r + 5. Let i(n) = -n + 1. Let j(x) = -c(x) + 3*i(x). Let p be j(2). What are the prime factors of (1/(-2))/(1/p)? 2, 3 Let l(d) = -d**2 - 6*d + 6. Let q be l(-6). List the prime factors of q/(-4)*120/(-18). 2, 5 Let x(y) = -3*y - 1 + 6*y**2 + y**2 - 4*y**2 - 2*y**2. What are the prime factors of x(4)? 3 Let u(v) = 3*v**2 - v - 1. Let l be u(-1). Let i = 10 - 10. Suppose -k - 3*c + 4*c + 11 = i, k = l*c + 19. List the prime factors of k. 7 Let b(q) = -2*q - 5. Let t(z) = -2*z - 5. Let u(p) = p + 10. Let w be u(-7). Let r(v) = w*t(v) - 2*b(v). List the prime factors of r(-7). 3 Let g = 10 - -30. Suppose 2*m - g + 8 = 0. What are the prime factors of m? 2 Suppose 154 = 5*x - 271. List the prime factors of x. 5, 17 Suppose -4*j = 30 + 50. Let f = j - -38. What are the prime factors of f? 2, 3 Let o = -17 + 27. Suppose 0 = -3*z + 2*t + o, -5*z - 2*t = -1 - 5. List the prime factors of z. 2 Let x(f) = f**2 + f - 1. Let n be x(-3). Suppose -2*r - 9 = -5*t - 57, t = n*r - 74. List the prime factors of r. 2, 7 Let r be (1 - 0) + 0/(-5). Let j be (r + -38)/(0 + 1). Let i = j - -52. What are the prime factors of i? 3, 5 Let f(q) = q**3 + 2*q**2 - 3*q - 24. What are the prime factors of f(6)? 2, 3, 41 Suppose -3*g - 6 = 0, 0 = -a - 0*g + 5*g + 12. Suppose 0 = -a*k + 53 + 31. List the prime factors of k. 2, 3, 7 Let w = -116 + 120. List the prime factors of w. 2 What are the prime factors of (-14)/(35/(-5)) + (-244)/(-1)? 2, 3, 41 Let k(i) = 13*i**3 - i**2 + i - 1. Suppose 5*u + 5*q = 70, 4*q - 6 = -0*u + u. Let s(t) = -t + 11. Let v be s(u). List the prime factors of k(v). 2, 3 Let c(n) = 8 + n + 6 + 0*n - 1. What are the prime factors of c(-6)? 7 Let k(u) = -8 + 4*u**3 - u + 3 - 3*u**2 - 4*u**2 - 5*u**3. Let y be k(-7). Suppose -11 + 29 = y*s. What are the prime factors of s? 3 Let s(h) = h**2 + 5*h - 4. Let a(p) = p**2 + 5*p - 4. Let f(y) = 4*a(y) - 3*s(y). List the prime factors of f(-7). 2, 5 Let n = 10 - 5. Suppose 0 = -5*r + n*u + 70, -r = -2*r - 2*u + 5. What are the prime factors of r? 11 Let v = -1 - -10. Suppose 2*u - 11 - v = 0. List the prime factors of ((-15)/u)/((-3)/20). 2, 5 Let x(g) be the first derivative of g**4/12 - g**3/2 + 3*g**2 + g + 2. Let c(v) be the first derivative of x(v). What are the prime factors of c(4)? 2, 5 Let v(x) = -x**3 - 4*x**2 - 3*x + 6. What are the prime factors of v(-4)? 2, 3 What are the prime factors of 4/(-12) - (-51)/(-18)*-46? 2, 5, 13 List the prime factors of ((-18)/15)/(2 - (-111)/(-55)). 2, 3, 11 Suppose 0 = -13*z + 11*z + 88. List the prime factors of z. 2, 11 Let d(b) = 2*b**2 + 11*b - 7. Suppose -2*q = -4*q - 16. What are the prime factors of d(q)? 3, 11 Suppose 0 = 3*c + 2*c - 10. Let s(k) = -5*k**2 - 3*k**3 + 0*k + 4 + c*k**3 - k. What are the prime factors of s(-5)? 3 What are the prime factors of 1/(-1)*82/(-2)? 41 What are the prime factors of 3/(-9) - 1687/(-21)? 2, 5 Let n(p) = -p**2 + 28. Let a be n(0). Suppose 3*m - m = a. What are the prime factors of m? 2, 7 Suppose 5*f + 2*l - 4*l - 35 = 0, 4*f - l = 25. Suppose -f*y + 58 = -72. What are the prime factors of y? 2, 13 Suppose 0 = -c - 0 - 4, -c - 15 = s. Let b = s - -3. List the prime factors of (-2 + (-22)/b)*4. 3 Suppose 0 = 4*f - 172 - 124. List the prime factors of f. 2, 37 Let v(f) = 3*f - 2. Let p be v(2). Suppose -p*w + 6 = 2*o, -4*o - 4*w + 12 = -0*o. Suppose o*s = s + 14. What are the prime factors of s? 7 Let b(q) = -q**2 + 8*q + 4. Let t be b(8). Suppose -t*y + 5 = -5*a, 3*y - 3 = 3*a + 3. List the prime factors of a. 3 Let m be 1 - 1 - (-112)/7. Let z = -24 + m. Let p = z - -13. List the prime factors of p. 5 Suppose -3*a + 4*j + 124 = 0, 0*a = 2*a + 4*j - 96. List the prime factors of a. 2, 11 Let j(d) = -d**3 + 3*d**2 + 4*d + 2. Let h be j(4). Suppose 2*v - h = -0*v. Suppose 3*k - 4*i + 2 = -0, k - v = i. What are the prime factors of k? 2, 3 Let c = -59 + 93. Suppose -4*v + c = 2. What are the prime factors of v? 2 Let h = -96 - -219. Suppose -5*d - 3*g + 57 = -h, 5*g = -2*d + 91. List the prime factors of d. 3, 11 Let b(t) = -3*t + 3. What are the prime factors of b(-27)? 2, 3, 7 Let u(j) = -3*j - 5. Let r(a) = a + 2. Let x be r(-1). Let t = x - 5. What are the prime factors of u(t)? 7 Let q be (-16)/(-10) + 2/5. Let x be 8 - (-1*2 + q). Suppose -2*n - s + 7 = 0, x*n - 3*s - 9 = 4*n. List the prime factors of n. 3 Let a be ((-30)/8)/((-24)/256). Let d = 11 + a. List the prime factors of d. 3, 17 Suppose 4*l - 187 = -3*t, -37 = -2*l - 5*t + 46. What are the prime factors of l? 7 Let c(o) = 2*o + 78. What are the prime factors of c(0)? 2, 3, 13 Suppose 4*p + 4*d - 5 = 95, 2*d = -8. Suppose 4 - p = -5*f. List the prime factors of f. 5 Suppose 0 = -3*f + 186 + 174. What are the prime factors of f? 2, 3, 5 Let c(i) = -4*i**3 - i**2 + 6*i + 4. What are the prime factors of c(-3)? 5, 17 Let k be (2/(-6) + -1)*-6. Let j(t) = -t**2 - 6*t - 13. Let p(o) = 5*o**2 + 24*o + 53. Let r(c) = 9*j(c) + 2*p(c). What are the prime factors of r(k)? 5 Let k(g) = g**2 - 10*g - 3. Let c be k(9). Suppose -2*a + 0*a - 8 = 0. Let s = a - c. List the prime factors of s. 2 Let j(x) = -9*x - 2. Let z be (-3)/4 + 52/(-16). List the prime factors of j(z). 2, 17 Let f(z) = -z**3 + 9*z**2 - 10*z + 5. List the prime factors of f(7). 3, 11 Suppose 3 = -3*b - 0. Let p be -7*2 + 1/1. List the prime factors of p/(2*b/2). 13 Suppose 0 = -3*u + 6*u - 165. List the prime factors of u. 5, 11 Let h = 6 + -1. Suppose 0*t = -t + h*k + 34, -t = -2*k - 40. Suppose -4*a + 4*r - 3*r + t = 0, -r = -3*a + 32. List the prime factors of a. 2, 3 Let j = 485 - 261. What are the prime factors of j? 2, 7 Let k(u) = 2*u - 4. Let l be 4/(-22) - (-336)/33. What are the prime factors of k(l)? 2 Let t(d) = -7*d - 34. Let y(u) = -10*u - 51. Let p(l) = 7*t(l) - 5*y(l). List the prime factors of p(-7). 2, 5 Suppose -2*o + 15 = 3*o. What are the prime factors of o? 3 Suppose -4 = -3*j - j - m, 5*m = -4*j - 12. What are the prime factors of j? 2 Let k(n) = -2*n + 5. Let z be k(7). Let i = 30 - z. Suppose -x = 2*x - i. What are the prime factors of x? 13 Suppose -18 = 2*w - 5*w. Let f(c) = c**3 - 6*c**2 + c - 1. What are the prime factors of f(w)? 5 Let j = 110 + -57. What are the prime factors of j? 53 Let o = 116 - 63. What are the prime factors of o? 53 Let o(r) = 5*r - 7. Let n be o(6). Let l = n + -11. List the prime factors of l. 2, 3 Let f = 12 - 10. Suppose -f*x = x - 114. What are the prime factors of x? 2, 19 Suppose -2*c = -0*x - 2*x - 6, 2*c + 1 = -5*x. What are the prime factors of 37 + -6 - (x + 0)? 2 Suppose 0 = 2*i + 2*x - 8, 3*i - 4*x + x = 0. Suppose -i*u = 3*u - 40. List the prime factors of u. 2 Let r(p) = p**3 + 8*p**2 + 7*p + 2. Let i be r(-7). Suppose -6 = -2*b + i. What are the prime factors of b? 2 Let g(c) = 3*c + 12. Let i be g(5). Suppose 24*s + 75 = i*s. What are the prime factors of s? 5 Let j(f) = 6*f - 4. Let s(k) = -12*k + 7. Let l(i) = -7*j(i) - 4*s(i). What are th
{ "pile_set_name": "DM Mathematics" }
alculate x*k(r) + 2*h(r). -r - 2 Let d(q) = -2*q**2 - 4. Let x(n) = -n**2 - 3. Let u(s) = 7*s - 4*s - 7 + 8. Suppose 0 = 2*i - i - 1. Let y be u(i). What is y*x(g) - 3*d(g)? 2*g**2 Let k(m) = m**2 - 3*m - 2. Let z(t) = t**2 + 1. Determine k(w) - 4*z(w). -3*w**2 - 3*w - 6 Let p(y) = -4*y**2 + 4. Let c(x) = 7*x**2 - 7. Let l be -12*1/14*7. Let m be (-9)/2*2 - (0 + 1). Give l*c(h) + m*p(h). -2*h**2 + 2 Let t be (224/(-288))/(28/(-24)). Let m(f) be the second derivative of -f - t*f**3 + 0 + 2*f**2. Let v(i) = 17*i - 17. Calculate -9*m(j) - 2*v(j). 2*j - 2 Let a(j) = 4618*j - 8*j**3 - 4 - 4618*j - 3*j**2. Let f(x) = -15*x**3 - 6*x**2 - 7. Calculate 11*a(y) - 6*f(y). 2*y**3 + 3*y**2 - 2 Let t = 7 - -5. Let q be t - (-2 + 3 + 1). Let m be (2/(-4))/(q/(-80)). Let p(s) = s. Let i(g) = -3*g. What is m*i(n) + 11*p(n)? -n Let v(j) = -9*j**2 + j - 4. Let h(n) = 18*n**2 - 2*n + 9. Determine -3*h(w) - 7*v(w). 9*w**2 - w + 1 Let c(o) = -11*o**3 + o**2 - 5*o + 4. Let l(s) = -22*s**3 + s**2 - 10*s + 7. Let u(d) = 7*c(d) - 4*l(d). Let p(r) = -5*r**3 - r**2 - 2*r. Give 5*p(b) + 2*u(b). -3*b**3 + b**2 Let c be (36/30)/(4/10). Let u(b) = -2*b**3 - 4*b**2 - b. Let m(v) = v**2 + v + 2*v**2 + 0*v**2 + 0*v + 2*v**3. Give c*u(n) + 4*m(n). 2*n**3 + n Let v(a) = 3*a - 5. Let w(d) be the second derivative of 7*d**3/6 - 5*d**2 + 625*d. Determine 5*v(n) - 2*w(n). n - 5 Let o(v) be the first derivative of -11*v**2/2 + 149. Let j(m) = -5*m. Give 7*j(b) - 3*o(b). -2*b Let j(q) = -16*q**2 - 3*q + 5. Let y(v) = -33*v**2 - 7*v + 11. Calculate 13*j(u) - 6*y(u). -10*u**2 + 3*u - 1 Let h(z) = -94*z - 2. Let o(s) = -s. Give -h(i) + o(i). 93*i + 2 Let q(o) = -5*o**3 + 11*o**2 - 8*o - 8. Let v(u) = -3*u**3 + 7*u**2 - 5*u - 5. Let b(p) = 5*p - 6. Let j be b(2). Let x = j + 1. What is x*q(a) - 8*v(a)? -a**3 - a**2 Let i(t) = 8*t**2 + 8*t. Let j(n) = -n**2 + 1. What is -i(c) - 10*j(c)? 2*c**2 - 8*c - 10 Let u be 0 - (8 - 4) - -5. Let r(o) = 4*o**2 + o + 2. Suppose 7*h - 10*h = 3. Let s(k) = k**2 + k. What is h*s(y) + u*r(y)? 3*y**2 + 2 Let t(n) = n + 1. Let f(c) = -21 + 14*c - 16*c + 19. Calculate -2*f(u) - 5*t(u). -u - 1 Let h(q) = -5*q + 4. Suppose -87*w = 179 + 169. Let f(z) = -z. Give w*f(j) + h(j). -j + 4 Let u(s) = -s**3 - 2*s**2 - 6*s + 5. Let d = -629 + 635. Let t(z) = -2*z**3 - 4*z**2 - 11*z + 9. Calculate d*t(v) - 11*u(v). -v**3 - 2*v**2 - 1 Let o(s) = -5*s + 3 + 4 - 6 + 6. Let t(z) = 2*z - 3. Let h(x) = -3*o(x) - 7*t(x). Let p(k) = 1. What is 3*h(f) + p(f)? 3*f + 1 Let c(b) = b**2 - b - 2. Let r(n) = 6*n**2 - 5*n + 8. Calculate 4*c(p) - r(p). -2*p**2 + p - 16 Let g(a) = 4*a**3 - 6*a**2 - a. Suppose 3*r - 52 = -1. Let q(y) = -4*y - 13*y + 14*y + 7*y**2 + 11*y**3 - 23*y**2 - y**2. What is r*g(p) - 6*q(p)? 2*p**3 + p Let s(g) = 2*g**2 - 3*g + 3. Let b(o) = -10*o**2 + 16*o - 16. Determine 3*b(y) + 16*s(y). 2*y**2 Let b(w) be the first derivative of w**2/2 + 264. Let u(z) = 0 - z - z + 1. Calculate 4*b(k) + u(k). 2*k + 1 Let v(w) = w**2 + 52*w - 15. Let j(x) = -2*x**2 - 156*x + 42. Determine 5*j(q) + 14*v(q). 4*q**2 - 52*q Let j(w) = -3*w + 2. Let r(n) be the second derivative of 0*n**2 - n - 1/6*n**3 + 0. Calculate -j(c) + 4*r(c). -c - 2 Let j(m) be the third derivative of -m**4/8 - 5*m**3/6 - 185*m**2. Let h(b) = 2*b + 2. What is -5*h(y) - 3*j(y)? -y + 5 Let u(o) = 4*o**3 - 2*o**2 - 25*o - 2. Let y(g) = g**3 - g**2 - 1. Determine -u(h) + 2*y(h). -2*h**3 + 25*h Let m(n) = -5*n - 6. Suppose 0*v = -3*v - 12. Let y(q) = -1. Calculate v*y(i) + m(i). -5*i - 2 Let l(c) = 13*c**2 + 2. Let p = -1990 + 1992. Let q(a) = 13*a**2 + 2. Give p*q(o) - 3*l(o). -13*o**2 - 2 Suppose 0 = 5*f + 2*r - 10, 0 = -5*r - 32 + 7. Let m(l) = 2*l**2 - l. Let q(h) = h**2 + h. Give f*q(b) + 4*m(b). 12*b**2 Let b(k) = -2 + k**3 - 1539*k**2 - 6 + 1546*k**2 - 3 - 7*k. Let c be -2*1/(-2)*-7. Let s(v) = -v**3 - 4*v**2 + 4*v + 6. Give c*s(g) - 4*b(g). 3*g**3 + 2 Let i(t) = t**2 - t. Let x(q) = 9*q**2 + 6*q - 5. Let m(r) = 8*r**2 + 4*r - 4. Let u(j) = 5*m(j) - 4*x(j). Let h = 4 - -1. Determine h*i(z) - u(z). z**2 - z Let s(i) = -533*i**2 - 5. Let a(f) = -2933*f**2 - 28. Determine -5*a(c) + 28*s(c). -259*c**2 Let f(h) = 55*h + 11. Let o(n) = 2. Determine -f(y) + 5*o(y). -55*y - 1 Let b be (-8)/((-6)/(-8)*(-52)/(-234)). Let u(h) = -66*h. Let p(r) = 7*r. Calculate b*p(w) - 5*u(w). -6*w Let k(p) = -13*p + 13. Let d(t) = -13*t + 13. Determine 6*d(h) - 5*k(h). -13*h + 13 Let a(u) = -5*u - 7. Let y(r) = -r - 1. Let x(j) = -a(j) + 6*y(j). Suppose 5*w + 356 = 71. Let l = w - -58. Let q(b) = -2*b + 3. Give l*q(n) - 3*x(n). n Let p(k) = -k. Suppose o - 343 - 1157 = 0. Let d(u) = 1500 - 4*u - o. Give -2*d(j) + 6*p(j). 2*j Let q(b) = 54*b. Let d(l) = 54*l + 1. Give -4*d(x) + 5*q(x). 54*x - 4 Let z(j) = j - 5. Let f = -156 - -154. Let y(w) = -5*w + 26. Determine f*y(a) - 11*z(a). -a + 3 Let i(v) be the second derivative of v**3/6 - v**2/2 - v. Let r(f) be the second derivative of -f**3/6 + f - 57. Calculate 2*i(h) + 3*r(h). -h - 2 Let y(j) = 8*j - 13. Suppose 20*a + 12 = 18*a. Let h(o) = -4*o + 6. What is a*y(i) - 13*h(i)? 4*i Let k(m) = -5*m**3 - 5*m**2 + 4. Suppose 7*c + 30 = -19. Let l(u) = -9*u**3 - 10*u**2 + 7. Calculate c*k(j) + 4*l(j). -j**3 - 5*j**2 Let w(z) = -5*z**2 + 3*z + 3. Let o(s) = 5*s**2 - 2*s - 2. Let q = 19 - 15. Let i be -1 - (q + (1 - 3)). Calculate i*o(n) - 2*w(n). -5*n**2 Let j(b) = -5*b**2 + 11*b - 11. Let s(m) = -4*m**2 + 10*m - 9. What is 2*j(i) - 3*s(i)? 2*i**2 - 8*i + 5 Let s(h) = 3*h**2 - 3*h. Let i(a) = 2 + 13555*a + a**2 - 13556*a - 1 - 2. Determine i(m) - s(m). -2*m**2 + 2*m - 1 Let c(i) = -i. Let w(v) = -6*v + 95. Determine -4*c(r) + w(r). -2*r + 95 Let o be 3*1 + (3 - 9) - -4. Let l(a) = a**3 - 3*a + 3. Let d(p) = -p**3 + p - 1. Give o*l(y) + 3*d(y). -2*y**3 Let w(u) = -1. Let g(k) = -3*k + 6. Suppose 4*m - 80 = 40. Suppose 0 = -5*f + 10 - m, -2*v - 5*f = -60. Let s be (-16)/v + 14/10. Determine s*g(l) + 6*w(l). -3*l Let h(u) = -87*u**3 + 13*u**2 + 21*u - 10. Let s(f) = -29*f**3 + 4*f**2 + 6*f - 3. Determine 2*h(i) - 7*s(i). 29*i**3 - 2*i**2 + 1 Let h = -10 - -13. Suppose -4*d + 4*v = -3*d - 40, h*v + 35 = d. Let z(r) = -5*r + 3. Let f(b) = 35*b - 20. What is d*z(u) + 3*f(u)? 5*u Let w(v) = 3*v - 2. Let r be w(1). Suppose 12*i = 10*i + 12. Let o(l) = 4*l - 1. Let k(p) = -p. Determine i*k(u) + r*o(u). -2*u - 1 Let h(i) = i. Suppose 2*q - 15 = 5. Let r(g) = g**3 - 12*g**2 + 19*g + 9. Let f be r(q). Let z(c) = 4*c - 1. Determine f*z(l) + 6*h(l). 2*l + 1 Let f(b) = 4*b**3 + b**2 - b. Let n(p) = 8*p + 2. Let l be n(0). Let u(j) = -11*j - j**l + 11*j + 33*j**3 - 34*j**3. Determine -f(w) - 3*u(w). -w**3 + 2*w**2 + w Let n(y) = 3*y - 1. Let c(s) = -s. Let p(o) = 6*c(o) + n(o). Suppose 189*u = 197*u - 24. Let b(w) = 3*w. Determine u*b(f) + 2*p(f). 3*f - 2 Let g(f) be the first derivative of -5*f**2/2 - 2*f + 278. Let r = -4 - -7. Let i(m) = -6*m - 3. Calculate r*i(w) - 4*g(w). 2*w - 1 Let m(s) = -19*s**3 + 6*s**2 + 5*s + 16. Let h(f) = 4*f**3 - f**2 - f - 3. Give -11*h(j) - 2*m(j). -6*j**3 - j**2 + j + 1 Let r(i) = 1. Let a(u) = 2*u**2 - u + 2. Let g be a(-2). Suppose 2*q + q + g = -3*j, q + 7 = 2*j. Let s(l) = j - l - 2 + 6. Calculate 5*r(v) - s(v). v Let m(w) = -2*w**3 - 2*w**2 + 2*w + 5. Let z(d) = -d**2 + d. Let x(y) = -y**3 + 8*y**2 + y - 9. Let k be x(8). Determine k*m(u) + 2*z(u). 2*u**3 - 5 Let u(r) = 55*r + 5. Let h(i) = -54*i - 6. Calculate -4*h(d) - 5*u(d). -59*d - 1 Let c(v) = -66*v - 35. Let s(b) = -13*b - 7. Give -2*c(h) + 11*s(h). -11*h - 7 Let d(z) = -7*z + 4. Let n(p) = 9*p - 10*p - 50 + 50. What is d(g) - 5*n(g)? -2*g + 4 Let s(y) = -5*y**2 + 3*y**2 - 2*y**2 + 1. Let c(t) = -t**2. Suppose -n = n - 12. What is n*c(w) - s(w)? -2*w**2 - 1 Let j = -14 - -20. Let t(r) = -5*r**3 + 4*r**2 + 6. Let f(d) = d**3 + 464*d**2 - 1 - 230*d**2 - 235*d**2. Determine j*f(c) + t(c). c**3 - 2*c**2 Let s = -14 + 20. Suppose -s*p = -p - 15. Let x(l) = 0 + l**2 + 0 - 2 - p*l**2. Let v(i) = -10*i**2 - 10. Calculate -3*v(c) + 14*x(c). 2*c**2 + 2 Let t(k) = k - 3. Let c = 341 - 337. Let a(d) = 1. Determine c*a(g) + t(g). g + 1 Let u(i) = -6*i**3 - 26*i**2 + 4*i + 1. Let z(r) = 13*r**3 + 51*r**2 - 9*r - 2. Calculate 9*u(s) + 4*z(s). -2*s**3 - 30*s**2 + 1 Let u(f) = f**2 - 2*f + 1. Let t be u(4). Let h(q) = 13*q**
{ "pile_set_name": "DM Mathematics" }
6 = -15 for x. -1 Solve 0 = -465*f - 466 - 1394 for f. -4 Solve 5 - 380 = -12*b - 3*b for b. 25 Solve -983*j - 4194 + 8149 + 10790 = 0 for j. 15 Solve 75*o - 138*o - 81*o + 720 = 0 for o. 5 Solve -4722*b = -4714*b - 56 for b. 7 Solve 67*p = -910 - 229 for p. -17 Solve 0 = 8*x - 45 - 3 for x. 6 Solve -229*g + 52 = -233*g for g. -13 Solve -9*q + 238 = 31*q - 6*q for q. 7 Solve 182*t - 222*t = 447 + 233 for t. -17 Solve 628920*r + 437 = 628939*r for r. 23 Solve 70*p + 241 = 24*p - 173 for p. -9 Solve 0 = 151*w - 683 - 374 for w. 7 Solve -43*o + 1287 = 100*o for o. 9 Solve -1238 - 722 = 147*h - 77*h for h. -28 Solve 0 = 5*q + 25 - 29 + 39 for q. -7 Solve -13518 + 4210 = 358*t for t. -26 Solve -6*t + 10*t + 328 - 232 = 0 for t. -24 Solve -203*k - 378 = -221*k for k. 21 Solve 0 = -667*b - 7716 + 4183 - 5138 for b. -13 Solve 4896*s = 4361*s + 2675 for s. 5 Solve -39*p = 6993 - 7305 for p. 8 Solve 212*l - 3990 = 402*l for l. -21 Solve 279*j - 242*j - 37 = 0 for j. 1 Solve -11662*w + 1144 = -11706*w for w. -26 Solve 14*b + 16955 = 16647 for b. -22 Solve -25186*s + 25172*s - 252 = 0 for s. -18 Solve 1042*f - 11 = 1045*f - 5 for f. -2 Solve -93*s - 1142 = 40*s - 78 for s. -8 Solve -29*f = -6 - 11 + 46 for f. -1 Solve 4513*m - 4933*m + 8820 = 0 for m. 21 Solve 7452*t - 15 = 7437*t for t. 1 Solve -44*n - 818 + 554 = 0 for n. -6 Solve -152*g - 1921 + 1627 = -3790 for g. 23 Solve -35*i = 16*i - 247 - 110 for i. 7 Solve -71*q + 456 + 41 = 0 for q. 7 Solve 126*h + 134*h - 279*h = 0 for h. 0 Solve -38*l - 2888293 + 2887001 = 0 for l. -34 Solve 31876 - 30771 = -85*z for z. -13 Solve 87*j - 648*j + 627 = -352*j for j. 3 Solve -199*j + 32*j - 17*j = -2760 for j. 15 Solve -282*h + 225*h + 6 = 63 for h. -1 Solve -165 = 79*i - 112*i for i. 5 Solve 0 = 23*t + 49*t + 432 for t. -6 Solve 7840 = 29*o + 8159 for o. -11 Solve 139*l = -274*l for l. 0 Solve -1908800 = 46*w - 1908524 for w. -6 Solve 542118 - 542849 = -43*z for z. 17 Solve -1322 + 462 = -67*o - 19*o for o. 10 Solve 0 = 542*w - 177*w + 8173 - 2698 for w. -15 Solve 3*c = -20 - 31 for c. -17 Solve -3*w = 4*w + 18 + 24 for w. -6 Solve 482*i - 540 = 118*i + 188 for i. 2 Solve 998*n + 15473 = -11473 for n. -27 Solve -69373 + 69513 = -28*h for h. -5 Solve 0 = 1869*z - 429*z + 36000 for z. -25 Solve -560*g + 591*g + 558 = 0 for g. -18 Solve 72*i - 19*i = -24*i + 847 for i. 11 Solve -792 = -3001*v + 3023*v for v. -36 Solve 832 = -117*s + 85*s for s. -26 Solve -1294 - 546 = -115*u for u. 16 Solve -543*d = -687*d - 1872 for d. -13 Solve 31*w = -2*w - 93 + 654 for w. 17 Solve 4*t - 2*t - 55*t + 689 = 0 for t. 13 Solve 0 = 19*z + 7 + 411 for z. -22 Solve -2840*i = -2781*i + 1180 for i. -20 Solve -341*p + 90*p + 1414 = 6685 for p. -21 Solve -60*y + 22740 = 23520 for y. -13 Solve 0 = -18*x - 415 - 149 + 258 for x. -17 Solve -3174*s = 3203*s - 6408*s + 961 for s. 31 Solve 84*g = -124*g - 1941 + 277 for g. -8 Solve 396*j + 6550 = -213*j - 7457 for j. -23 Solve 0 = -82*j - 28 + 2159 - 327 for j. 22 Solve 0 = -578*f + 7253 - 25171 for f. -31 Solve -55*t + 65*t - 41*t = -217 for t. 7 Solve -376 = 140*x - 1254 - 1502 for x. 17 Solve 0 = 193*f + 103*f + 4736 for f. -16 Solve -31*t - 212 = 185 - 149 for t. -8 Solve 0 = -15819*z + 15814*z + 80 for z. 16 Solve 1036 = 14*j + 952 for j. 6 Solve -91 - 59 = 150*w for w. -1 Solve -1105*p + 18560 = -177*p for p. 20 Solve -250*z - 2079 = -38*z + 19*z for z. -9 Solve 100*r - 71 = 729 for r. 8 Solve 84*i + 144 + 173 = -187 for i. -6 Solve 220 = -76*m + 48*m - 27*m for m. -4 Solve -2867 = 21*a - 2531 for a. -16 Solve -645 + 223 - 434 = -107*i for i. 8 Solve 0 = 35*s + 5228 - 5648 for s. 12 Solve -12*s + 97 = 219 - 98 for s. -2 Solve -19*r - 1178 = -1083 for r. -5 Solve 1226 - 196 = -136*f - 602 for f. -12 Solve 17*d - 76*d = 649 for d. -11 Solve 84 = -12*j + 19 - 67 for j. -11 Solve 55*g + 10 = -485 for g. -9 Solve 25*x = 40*x - 63*x - 48 for x. -1 Solve -36*l + 66*l = -301*l for l. 0 Solve -3222*y + 104 = -3214*y for y. 13 Solve -71 = 6*t + 4*t - 1 for t. -7 Solve 30*q + 595026 = 594096 for q. -31 Solve -10*f + 901 = -94*f + 2161 for f. 15 Solve -410*q = -202*q - 5408 for q. 26 Solve -55*y - 191 = -381 - 305 for y. 9 Solve 48*v - 795 = -603 for v. 4 Solve 0 = -7*t + 18430 - 18311 for t. 17 Solve -310 = 2614*t - 2583*t for t. -10 Solve -71 = 30*k + 167 + 242 for k. -16 Solve 1111*s = 1229*s - 354 for s. 3 Solve -21*w + 1562 = 1856 for w. -14 Solve -7*y - 303 + 291 = -y for y. -2 Solve 882*d - 831*d = -204 for d. -4 Solve 198 = -44*x - 131 - 23 for x. -8 Solve 32*o - 12 = 3 + 17 for o. 1 Solve 6*l = -34*l for l. 0 Solve 4517*a = 4524*a - 35 for a. 5 Solve 0 = 94*p + 75 + 12 + 289 for p. -4 Solve -7*l - 11*l - 594 = 36*l for l. -11 Solve 58*f - 33*f - 2070 = -90*f for f. 18 Solve 7*j = -58*j + 417 + 623 for j. 16 Solve 525*p - 577*p = 156 for p. -3 Solve -70*j = -19*j + 337 + 122 for j. -9 Solve 95*k + 67*k - 648 = 0 for k. 4 Solve -640*r - 45 = -645*r for r. 9 Solve -591 = -14*h - 745 for h. -11 Solve 125*r = 916 - 1791 for r. -7 Solve -38 + 53 = 4*t - 61 for t. 19 Solve -89*v + 564 - 1886 = -2924 for v. 18 Solve -846*v + 64 = -858*v - 32 for v. -8 Solve 0 = 1229*a + 9422 + 11471 for a. -17 Solve 16*i - 3*i = -4*i - 272 for i. -16 Solve -456 = -412*h + 6960 for h. 18 Solve -41*l = 2*l - 602 for l. 14 Solve -199 = 39*c - 7*c + 153 for c. -11 Solve -1563*t - 298 = -1712*t for t. 2 Solve -225 + 531 = 76*t - 530 for t. 11 Solve 0 = -10*l - 53457 + 53677 for l. 22 Solve -561*f + 422*f - 832 - 2 = 0 for f. -6 Solve -2*c + 6609 = 6605 for c. 2 Solve 1922*u - 979 = -22121 for u. -11 Solve 18*p = -23*p + 82 for p. 2 Solve 93*k = -763 - 1655 for k. -26 Solve 2706 + 700 = -141*p + 586 for p. -20 Solve 157*y - 5117 - 1757 = 648*y for y. -14 Solve -21*q + 28*q - 60 = 13*q for q. -10 Solve -235 + 946 = 104*s - 641 for s. 13 Solve -187 = -2179*v + 2202*v + 89 for v. -12 Solve 550 = -25584*t + 25529*t for t. -10 Solve -1550*j = -1723*j + 1211 for j. 7 Solve -158*b = -75 + 3709 for b. -23 Solve -60*l - 1128 = -3*l + 37*l for l. -12 Solve 1439*v - 1223*v + 1296 = 0 for v. -6 Solve 128 + 102 = 46*u for u. 5 Solve 3329 - 672 = 600*o - 14743 for o. 29 Solve -42*m + 282 - 180 = 9*m for m. 2 Solve -161 = 16*k + 47 for k. -13 Solve -699*f = 278*f + 25402 for f. -26 Solve 89*t + 3392 = -73*t + 268*t for t. 32 Solve 0 = 22*k - 30*k + 5368 - 5128 for k. 30 Solve -78 = -2155*x + 2168*x for x. -6 Solve 60*b + 83*b = 20 + 552 for b. 4 Solve -3322*t + 6652*t + 377 = 3317*t for t. -29 Solve 20*f - 3686 = -3966 for f. -14 Solve 6*f - 1090 = -1102 for f. -2 Solve 47*n - 241*n = 2134 for n. -11 Solve 672*n - 449*n = -446 for n. -2 Solve -5*x + 202 = 197 for x. 1 Solve 1323*n + 12483 = -64*n for n. -9 Solve 146*x - 2288 = 22*x + 36*x for x. 26 Solve -856*r = -126*r - 13*r + 12189 for r. -17 Solve -116*i - 303 = 848 + 241 for i. -12 Solve -218*k = -1613 + 1177 for k. 2 Solve -2748 = 378*p - 131*p + 3427 for p. -25 Solve -830*n + 838*n - 24 = 0 for n. 3 Solve -24*y + 49 - 81 = 112 for y. -6 Solve -271 = -28*c - 327 for c. -2 Solve -39*f - 600 = -32*f + 23*f for f. -20 Solve -45*o + 2 = -46*o for o. -2 Solve -26*x = -x + 26 + 124 for x. -6 Solve 0 = -63*j + 4*j - 177 for j. -3 Solve 102*x - 264 = 121*x - 74 for x. -10 Solve 192 = 36*q + 12 + 36 for q. 4 Solve -11507*t + 11568*t = 2074 for t. 34 Solve 318*o + 51*o - 30*o = 4746 for o. 14 Solve 146 = 86*r - 227 - 401 for r. 9 Solve 241*u - 50*u - 1687 = 223 for u. 10 Solve -199*g - 9450 = 116*g for g. -30 Solve -121*w - 380*w + 1281 = 7794 for w. -13 Solve -159*i + 96*i + 504 = 0 for i. 8 Solve -186*d + 184 + 6 = -167*d for d. 10 Solve 208*b + 3668 = -20*b - 436 for b. -18 Solve -419*t + 340*t - 1912 = -648 for t. -16 Solve -123 = 48*t + 46*t - 29 for t. -1 Solve 894*m - 66 = 883*m for m. 6 Solve -168 - 424 = 148*k for k. -4 Solve -9*q - 649 = -766 for q. 13 Solve 0 = -13*m + 17539 - 17214 for m. 25 Solve -6 = 2*x + 22*x + 282 for x. -12 Solve -3640 = -n + 61*n + 80*n for n. -26 Solve -123*l - 108*l + 3204 = -53*l for l. 18 Solve -24*p - 139 - 264 = 7*p for p. -13 Solve 1154 = 143*y - 705 for y. 13 Solve 3*q + 828 = -0*q + 939 for q. 37 Solve 140*j - 1665 = 251*j for j. -15 Solve 69*v + 580 + 179 = 0 for v. -11 Solve -50274*u + 50326*u = -1560 for u. -30 Solve -401*q = 439*q - 47*
{ "pile_set_name": "DM Mathematics" }
vative of 3*j**2 - 2*j**2 + j**6 - 2*j**l wrt j? 120*j**3 Find the second derivative of 9*f - 5*f**5 - 5*f + 14*f**5 wrt f. 180*f**3 Suppose 6*x - 2*x = 12. What is the second derivative of -2*j**3 - 6*j**x + 7*j**3 + j wrt j? -6*j Let n(s) be the second derivative of s**7/21 + 5*s**3/3 + 7*s. What is the second derivative of n(b) wrt b? 40*b**3 Suppose -g - 8 = -3*g. Find the third derivative of 28*r**5 - g*r**2 + 2*r**2 - 29*r**5 wrt r. -60*r**2 Let r be (-13)/(-3) - 2/6. Let t(d) be the first derivative of 0*d**r + 0*d + 0*d**3 - 3 - 3/2*d**2 + 1/5*d**5. What is the second derivative of t(c) wrt c? 12*c**2 Let c(a) be the first derivative of 0*a**3 + 5 + 0*a**2 + 3*a - 7/4*a**4. What is the derivative of c(n) wrt n? -21*n**2 Let g(r) = r**2 + 14*r + 16. Let m be g(-13). Find the first derivative of -p**m - p + 4*p**3 + p - 1 wrt p. 9*p**2 Suppose d + 2 = 4. Let q(i) = i + 11. Let v be q(-9). Find the second derivative of 12*x**v - 12*x**d + x**4 - x wrt x. 12*x**2 Let p(n) be the second derivative of -5/12*n**4 + 0*n**5 + 0*n**6 + 0*n**3 - 1/21*n**7 + 0*n**2 + 0 + n. What is the third derivative of p(k) wrt k? -120*k**2 Let k(g) be the first derivative of -g**7/70 - g**5/60 + g**2/2 + 3. Let a(i) be the second derivative of k(i). What is the third derivative of a(b) wrt b? -72*b Find the third derivative of -t**4 - t**2 + 0*t**2 - 4*t**4 wrt t. -120*t Let z = -10 - -14. What is the first derivative of z + 4*y**2 + 0 - y**2 wrt y? 6*y Find the second derivative of 5*a**2 + a**2 - 6*a**2 - 15*a + 43*a**4 wrt a. 516*a**2 What is the third derivative of -85*x**2 - 9*x**3 + 102*x**2 - 4*x**6 - 6 + 4 wrt x? -480*x**3 - 54 Let p(w) = -w + 12. Let c be ((-4)/6)/(10/(-135)). Let b be p(c). What is the derivative of -6 - 2*q**3 + 7 + 0*q**b wrt q? -6*q**2 Let l be (-126)/(-26) - (-8)/52. Suppose -f - f + 13 = 3*o, -l*f + 16 = 2*o. What is the third derivative of -f*j**4 + 4*j**4 + j**4 + 2*j**2 wrt j? 72*j Let y(n) be the second derivative of 7*n**6/30 + 3*n**2 - n. What is the derivative of y(c) wrt c? 28*c**3 Let w(z) = -z**2 + 11*z - 9. Let a be w(9). Find the third derivative of -4*d**2 + d + 19*d**4 - d - a*d**4 wrt d. 240*d Let k(a) be the third derivative of 4/3*a**3 + 0 + 1/20*a**5 - 4*a**2 + 0*a**4 + 0*a. Find the first derivative of k(s) wrt s. 6*s Let j(b) be the third derivative of -b**7/30 - b**3/2 - 8*b**2. What is the derivative of j(w) wrt w? -28*w**3 Let u(w) = 12*w + 1. Let a(q) = q - 2. Let p be a(3). Let g be u(p). Find the second derivative of -g*o + o**4 + 9*o - 4*o**4 wrt o. -36*o**2 Suppose -2*w - 5 + 15 = 0. Suppose w*u = -25, -3*d + 7*d - 2*u = 18. What is the second derivative of 5*q - 3*q**d - 5*q - 2*q wrt q? -6 What is the third derivative of -t**2 + 0*t**2 + 7*t**3 - 8*t**2 wrt t? 42 Suppose 0 = -5*r - 3 + 18. Find the third derivative of -68*z**3 + 6*z**2 + 68*z**r + 0*z**4 - z**4 wrt z. -24*z Let w(k) be the first derivative of 0*k**2 + 1/5*k**5 + 0*k**3 - 2 - 3*k + 0*k**4. Find the first derivative of w(u) wrt u. 4*u**3 Find the third derivative of -1 - 8*d**4 - 5*d**2 - 6 + 7 wrt d. -192*d Let c(g) be the second derivative of -g**5/30 + g**3/3 + g**2 - 5*g. Let d(x) be the first derivative of c(x). Differentiate d(w) with respect to w. -4*w Let z(w) be the second derivative of w**8/4 + 4*w**4/3 + 10*w. What is the third derivative of z(x) wrt x? 1680*x**3 Suppose -v - c - 23 = -6*v, 3*c + 9 = 3*v. Differentiate -4*w - v*w + 0 - 2 - 2 wrt w. -9 Let j(x) be the third derivative of -x**4/2 + 8*x**3/3 - 7*x**2. Differentiate j(p) with respect to p. -12 Let n = 11 - 7. What is the third derivative of -3*x**2 - 3*x**n - x**2 - x**4 wrt x? -96*x Differentiate 1 - 6 + 23*i**2 + 9 + 16 with respect to i. 46*i Let o be -2 + 7 + 0 + -3. Find the third derivative of -k**2 + k**5 - 2 + 0 + o wrt k. 60*k**2 What is the third derivative of 7*q**2 + 7*q**5 + 4*q**5 + 4*q**5 wrt q? 900*q**2 Let v(s) be the third derivative of -s**7/30 + s**3/3 - 4*s**2. Differentiate v(w) with respect to w. -28*w**3 Suppose -26 = 3*i + 22. Let c(h) = 14*h + 36. Let a(z) = 3*z + 7. Let x(b) = i*a(b) + 3*c(b). Differentiate x(t) with respect to t. -6 Let q(s) = -s + 1. Let m(b) = 4*b**3 + 2*b**2 + b. Let x be m(-1). Let w be q(x). What is the second derivative of -d - d + 0*d + 2*d**w wrt d? 24*d**2 Let a(k) = -71*k**3 - 105*k**2 - 5*k + 5. Let h(g) = -36*g**3 - 52*g**2 - 3*g + 3. Let z(f) = 3*a(f) - 5*h(f). Find the third derivative of z(o) wrt o. -198 Suppose 8*c - 10 = 3*c. What is the third derivative of 2*b**4 + 2*b**4 + 2*b**c + b**2 wrt b? 96*b What is the second derivative of -97*a**2 + 177*a**2 - 60*a - 124*a**2 wrt a? -88 What is the third derivative of 0*t**5 + 46*t**3 - 46*t**3 + 2*t**2 - 3*t**5 wrt t? -180*t**2 Let g = 38 + -35. Suppose 2*z - z - 3 = 0. Find the third derivative of 6*h**g - h**3 - h**2 - h**z wrt h. 24 Let c = -4 + 4. Find the third derivative of -3*n**3 + 3*n**2 + c*n**2 + 3*n**2 wrt n. -18 Let b(i) = 1. Let w(j) = -7*j**3 - 8. Let m(v) = 14*b(v) + 2*w(v). What is the derivative of m(r) wrt r? -42*r**2 Let z be 6 + -4 - (-58)/1. Suppose 8*r - z = 4*r. What is the derivative of -3*n**3 - 2 + r*n - 15*n wrt n? -9*n**2 Let h(i) be the second derivative of -3*i**5/20 + i**4/4 + 2*i. Find the third derivative of h(u) wrt u. -18 Let h = 5 - 1. Suppose -7 = -3*t + 3*l + l, h*t = -4*l + 28. What is the first derivative of -15*p + 17*p + t - 1 wrt p? 2 Let k(h) = h**3 + h**2. Let j(v) = 22*v**3 - 6*v**2 - 6*v. Let g(o) = -j(o) - 6*k(o). Find the second derivative of g(c) wrt c. -168*c Suppose -3*l + 8 = -l. Find the first derivative of l - 7 - 3*p**4 + p**4 + 4*p**4 wrt p. 8*p**3 Let c be (-1 + -4)/((-1)/1). What is the derivative of -c - 2 + k + k + 1 wrt k? 2 Suppose 3*g + 11 = 4*o - 2*g, -o - 1 = -5*g. Suppose 0 = o*a - 1 - 7. Differentiate -3*w**2 - 4*w**a + 1 + 5*w**2 + 2 wrt w. -4*w Let h(c) be the second derivative of -c**4/3 + 5*c**3/6 + 5*c. What is the second derivative of h(q) wrt q? -8 Let n(w) be the first derivative of 0*w**5 + 0*w**3 + 5/3*w**6 - 5*w**2 + 0*w - 7 + 0*w**4. What is the second derivative of n(f) wrt f? 200*f**3 Let z(j) be the third derivative of -3*j**6/40 + j**4/2 + 6*j**2. What is the second derivative of z(p) wrt p? -54*p Let p = -4 - -7. What is the second derivative of 3*v + 4 - 4 + p*v**3 wrt v? 18*v Let z = -10 - -13. Suppose -2*t = -k - 5*t - 13, z*t + 25 = 5*k. What is the derivative of -i**k + 0 - 2 - 2*i**2 + 4 wrt i? -6*i Suppose -2*j + 6 + 0 = 0. Let q = 29 + -26. What is the third derivative of 3 + 2*o**2 - j + 3*o**3 - o**q wrt o? 12 Let l(k) be the first derivative of 11*k**5/5 + 9*k**2/2 + 12. What is the second derivative of l(i) wrt i? 132*i**2 Let o(i) be the first derivative of i**6 - i**3/3 - 2. What is the third derivative of o(h) wrt h? 360*h**2 What is the third derivative of 0*n - 721*n**2 + 0*n + 2*n**3 + 730*n**2 wrt n? 12 Let o be 24/(-96) - 8/(-30). Let d(j) be the third derivative of 0 + o*j**6 + 1/6*j**3 + 0*j**4 + 0*j**5 + 0*j + 4*j**2. Differentiate d(s) wrt s. 6*s**2 Let c = -2 + 2. Suppose 3*q + q - 24 = c. What is the first derivative of 1 - 3*p + 3 - q wrt p? -3 Let i = -3 - -4. Differentiate 1 - i + 0 - 4*g - 3 wrt g. -4 Let x(k) = k**3 + 6*k**2 - 9*k - 10. Let p be x(-7). Suppose -3*w = 2*g - p, -2*g = w - 6*w + 12. Differentiate 0*o - 2 + 3*o - w*o with respect to o. 1 Suppose 3*c = -15, -4*y + 32 = -y - 4*c. Find the third derivative of i**4 - 6*i**2 + 5*i**2 + 0*i**4 - 5*i**y wrt i. -96*i Let j(c) be the second derivative of c**9/5040 + c**6/120 - c**4/12 + 7*c. Let s(u) be the third derivative of j(u). Find the second derivative of s(o) wrt o. 36*o**2 Let y(z) = -5*z**4 - 7*z**3 + 9*z. Let o(a) = 4*a**4 + 6*a**3 - 8*a. Let b(h) = -7*o(h) - 6*y(h). What is the second derivative of b(f) wrt f? 24*f**2 Let y(r) = 2*r**2 - 4*r - 1. Let d(j) = 1. Let g(x) = 3*d(x) + y(x). Let i be g(2). Find the third derivative of 3*p**5 + 2*p**i + 2*p**5 - p**2 - 4*p**5 wrt p. 60*p**2 Let r(d) = 26*d**3 - 8*d**2 + 15. Let m(q) = -17*q**3 + 5*q**2 - 10. Let l(b) = 8*m(b) + 5*r(b). What is the derivative of l(a) wrt a? -18*a**2 Let z(o) be the first derivative of -23*o**7/7 + 20*o**3/3 - 33. What is the third derivative of z(l) wrt l? -2760*l**3 Let l(g) = -g**4 + g**2 - g
{ "pile_set_name": "DM Mathematics" }
remainder when j(-1) is divided by p? 19 Let w(f) = 3*f**3 + 11*f**2 - 121*f + 578. What is the remainder when 1250 is divided by w(5)? 4 Let w be 10/4*(-180)/(-225). Suppose 0 = w*j - 18*v + 16*v - 96, 185 = 4*j + 3*v. What is the remainder when j is divided by 15 + 1/((-1)/(-2))? 13 Suppose 0 = 11*o - 11730 + 11609. Calculate the remainder when 3332 is divided by o. 10 Suppose 2*d + 9826 = 7*d - 15424. What is the remainder when d is divided by 38? 34 Suppose 5*b = 5*v, 5*v = -4*b - 1 + 19. What is the remainder when 98 is divided by (-1 - (-6 + v))*-1 + 28? 23 Suppose -63*w + 68*w = 20. Suppose w*c + y - 436 = 0, -8*c + 10*c - y - 212 = 0. Calculate the remainder when c is divided by 19. 13 Let z(h) = 2*h. Suppose -24*p + 19*p = 2*o - 198, 2*p - 4 = 0. What is the remainder when o is divided by z(6)? 10 Suppose -s - 54 + 303 = 0. Let v(y) = -319*y + 2603. Calculate the remainder when s is divided by v(8). 45 Suppose -6*p - 50 = -p. Suppose -2*v = -4*i - 40, -2*i - 7 - 1 = 0. Calculate the remainder when v is divided by (-66)/p + (-10)/(-25). 5 Suppose 3*t + 163 = -137. Let l = 117 + t. Calculate the remainder when 66 is divided by l. 15 Let d(c) = 2*c**2 + 27*c - 15. Let m be d(-14). Let u be (1/(m/7))/(3/(-27)). Suppose g + 31 - u = 0. What is the remainder when 89 is divided by g? 25 Let f be ((-10)/8)/(5/(-20)). Suppose 6*b - 4*b + 34 = -2*a, -82 = f*b + 4*a. What is the remainder when 11 is divided by (8/b)/((-3)/42)? 3 Let v = -30 + 47. Let c be (-1 + 43)*48/28. Let w = c - 9. What is the remainder when w is divided by v? 12 What is the remainder when (-5 + (-57)/(-9))*45/20 + 158 is divided by 83? 78 Suppose 152 = 19*y + 1387. Let r = 45 - 24. What is the remainder when (-13)/y - (-609)/5 is divided by r? 17 Suppose 2*q + 2*f - 22 = 0, 2*q + 5*f + 311 = 327. Let g = -13 + 16. Suppose -4*i = -4*c + 132, 0 = -g*i - 6 - 9. What is the remainder when c is divided by q? 2 Let d be (-698)/18 + 3/(54/(-4)). Let r = -43 - d. Let z(a) = a**3 + 6*a**2 + 5*a - 3. Calculate the remainder when z(r) is divided by 6. 3 Let h(x) = 2*x**3 + 35*x**2 - 16*x + 9. Let o be h(-18). Let u(v) = -v**2 - 36*v - 3. What is the remainder when u(o) is divided by 61? 57 Let v(t) = -2*t + 67. Suppose y + 4*n - 110 = -y, -4*y - 3*n + 225 = 0. Calculate the remainder when y is divided by v(19). 28 Suppose -58*m = -79*m + 168. Suppose -5*w + 1 = -4*h, m*h + 2*w = 7*h + 16. Calculate the remainder when 11 is divided by h. 5 Calculate the remainder when 8*74 - ((-420)/(-700) - 12/(-5)) is divided by 292. 5 Suppose -2*s + 477 = -3*x, 4*x = 3*s + 57 - 775. Suppose 1002 = 21*g + 120. What is the remainder when s is divided by g? 36 Suppose u + 16 = 72 + 215. What is the remainder when u is divided by 34? 33 Let t = -219 + 211. What is the remainder when 22 is divided by (-2)/t*0 + 9? 4 Suppose 22*w = 179 + 1009. Calculate the remainder when (1 + 5)/(1 - -1) + 254 is divided by w. 41 Suppose -126*o - 3333 = -159*o. Calculate the remainder when 309 is divided by o. 6 Suppose q - 6 = 9. Suppose -4*i - 21*f = -24*f - 180, -278 = -7*i - 4*f. What is the remainder when i is divided by q? 12 Suppose 1092 = -3*f - 2*g + 5*g, 4*f + 5*g + 1429 = 0. What is the remainder when (-62776)/f + 2/19 is divided by 26? 18 Let b = 20 - 5. Suppose -i + b = 2*w, 0 = -5*w + 2*w + 4*i + 6. Calculate the remainder when (-26)/(-182)*231/3 is divided by w. 5 Let o(c) = c**2 + 41*c + 440. What is the remainder when 448 is divided by o(-26)? 48 Suppose -2*o - 4*b = -b + 850, 0 = -5*o + 4*b - 2148. Let r = o - -497. What is the remainder when r is divided by 8? 5 Let w = -18 - 28. Let y = w + 184. Calculate the remainder when y is divided by 35. 33 Let z(i) = -147*i + 855. What is the remainder when z(5) is divided by 63? 57 Let a = 409 + -409. Calculate the remainder when (a + (-7)/(-21))/(4/1896) is divided by 54. 50 Suppose 863*t - 70500 = 803*t. Calculate the remainder when t is divided by 31. 28 Suppose -5*b = 19*b - 1872. Suppose -b - 69 = -3*q. Calculate the remainder when 118 is divided by q. 20 Let f = -43448 - -43453. Calculate the remainder when 176/(-6)*(-9)/6 is divided by f. 4 Let g(o) = -o + 7. Let z be 5 + (3 - (-6)/(-2)). Let t be g(z). Suppose -t*d + 94 + 238 = 0. What is the remainder when d is divided by 34? 30 Let a(k) = -13*k - 23. Let o be a(-10). Let h = -90 + o. Suppose -5*f + t + 40 = 0, 59 - 12 = 3*f + 4*t. What is the remainder when h is divided by f? 8 Let j = 7740 + -7736. Calculate the remainder when 1838 is divided by j. 2 Suppose 322*i = 330*i + 2192. Let o = 410 + i. Calculate the remainder when o is divided by 42. 10 Let k(a) = a**3 - 8*a**2 + 24*a - 33. Let m be k(10). Let h = m - 301. What is the remainder when h is divided by 8? 2 Let z(h) = h**3 + 7*h**2 - 3*h + 2. Let m = -280 - -287. What is the remainder when z(-4) is divided by m? 6 What is the remainder when 87 is divided by ((-251)/45 - (-18)/(-81))*-5? 0 Suppose -447*n + 563*n = 2784. Calculate the remainder when 153 is divided by n. 9 Suppose 4*s + m - 2493 = 0, -2*s - 3*m - m + 1264 = 0. What is the remainder when s is divided by 13? 11 Let z(p) = p**3 - 2*p. Let l(t) = -7*t**3 + 14*t**2 + 19*t - 27. Let q(r) = l(r) + 5*z(r). Calculate the remainder when q(6) is divided by 17. 14 Let l(y) = y**2 - 2*y + 3. Let m(d) = -2*d**3 - 170*d**2 - 10*d - 638. What is the remainder when m(-85) is divided by l(6)? 23 Let o be ((-124)/(-217))/(2/28). Suppose -142 - 226 = -o*m. What is the remainder when m is divided by 16? 14 Let m = -13216 - -13229. Suppose 0 = 2*a - 6*u + u - 131, -u + 222 = 3*a. Suppose 4*h = -a + 201. Calculate the remainder when h is divided by m. 6 Let u(a) = a**3 - a**2 + 38. What is the remainder when 453/4 - (36/(-78) + 222/312) is divided by u(0)? 37 Let r(y) be the third derivative of 3*y**5/20 - y**4/3 - 5*y**3/2 + 131*y**2. What is the remainder when 183 is divided by r(-2)? 35 Suppose -2*n = -3*o - 254, 548 = 4*n + o - 16. Calculate the remainder when 1046 is divided by n. 73 Let t = -45 + 49. Suppose 15*u = 19*u + t. What is the remainder when 3 + (0 + u)*-51 is divided by 19? 16 Suppose -3*p - 5*f + 265 = 0, 0 = -2*p + 9*f - 7*f + 198. Suppose p*m - 98*m = -18. What is the remainder when 267 is divided by m? 3 Let n(t) = 1 - 2*t**3 + 4*t**3 + 0 - 3*t**3 + 4*t + 2*t**2. Let l be n(-1). Suppose l*h + 5*h - 85 = 0. What is the remainder when h is divided by 13? 4 Let w be (74 - (-2 + 4)) + (-1)/(-1). Let a(j) = j + 3*j**2 + w - 72 - 2*j**2 + 5*j**2. Calculate the remainder when 20 is divided by a(-1). 2 Suppose c + o - 11 = 42, 5*o + 20 = 0. Suppose -11*f - 21*f = -95584. Suppose 3957 = 31*v - f. What is the remainder when v is divided by c? 53 Suppose 51*c = 98*c - 45*c - 280. Calculate the remainder when 157 is divided by c. 17 Let i(b) = -b**2 + 7*b - 6. Let k be i(3). Let f(t) = 5*t**2 - 4*t - 20. Let h be f(k). Suppose 7*q + q = h. Calculate the remainder when 84 is divided by q. 16 Let i be -3*1/(-1)*18/27. Let n(a) = 5*a**2 + 0*a**2 + 2 - 2*a**2 - i*a**2. What is the remainder when 29 is divided by n(-2)? 5 Let o = -2276 - -2760. What is the remainder when o is divided by 27? 25 Suppose -t - 2 = 1, -89 = -2*g - 3*t. Let b be 14/g - 22*(-9)/42. Suppose -16 + 0 = -5*r - n, -b = -r - 2*n. What is the remainder when 17 is divided by r? 2 Suppose -10*o = 5*r - 14*o - 252, 3*r + o = 158. Calculate the remainder when 453 is divided by r. 37 Suppose -100*g + 83*g + 629 = 0. Calculate the remainder when ((-107)/2)/(34/(-68)) is divided by g. 33 Suppose 0 = r - 4*u - 11, 0 = 4*r - 11*u + 10*u - 59. What is the remainder when 88 is divided by (r + -13)*(-18)/(-4)? 7 Suppose -8*l = -10*l + 4. Suppose 24 = l*z - 4*z. Calculate the remainder when 26 is divided by 0/2 + 3/(z/(-32)). 2 Let y = -134 + -47. Let l = y - -371. Let x = 35 - -13. What is the remainder when l is divided by x? 46 Let k(a) = 833 - 1657 + 827 + a. What is the remainder when 269 is divided by k(7)? 9 Let j = 8629 - 7932. What is the remainder when 703 is divided by j? 6 Suppose 3 + 57 = 4*g. Let d = 385 - 383. Suppose j - 60 = -d*y, -153 = -5*y + 4*j - 29. Calculate the remainder when y is divided by g. 13 Let k(l) = -2*l + 11. Let d(v) = -4*v**3 - 17*v**2 - 10*v - 13. Calculate the remainder when d(-5) is divided by k(
{ "pile_set_name": "DM Mathematics" }
the nearest integer? 19 What is the square root of 156 to the nearest integer? 12 What is 3749 to the power of 1/4, to the nearest integer? 8 What is the eighth root of 2748 to the nearest integer? 3 What is 5892 to the power of 1/7, to the nearest integer? 3 What is 9085 to the power of 1/5, to the nearest integer? 6 What is 58313 to the power of 1/3, to the nearest integer? 39 What is the fifth root of 1615 to the nearest integer? 4 What is the tenth root of 5097 to the nearest integer? 2 What is 1476 to the power of 1/2, to the nearest integer? 38 What is 185193 to the power of 1/6, to the nearest integer? 8 What is 2009 to the power of 1/3, to the nearest integer? 13 What is 2035 to the power of 1/8, to the nearest integer? 3 What is the cube root of 4972 to the nearest integer? 17 What is 2466 to the power of 1/5, to the nearest integer? 5 What is the cube root of 70340 to the nearest integer? 41 What is the cube root of 43031 to the nearest integer? 35 What is the tenth root of 2046 to the nearest integer? 2 What is 18448 to the power of 1/3, to the nearest integer? 26 What is the square root of 27 to the nearest integer? 5 What is 611 to the power of 1/2, to the nearest integer? 25 What is the third root of 728 to the nearest integer? 9 What is the tenth root of 1006 to the nearest integer? 2 What is the cube root of 2327 to the nearest integer? 13 What is 1025 to the power of 1/2, to the nearest integer? 32 What is 3591 to the power of 1/3, to the nearest integer? 15 What is the fifth root of 1063 to the nearest integer? 4 What is the third root of 105449 to the nearest integer? 47 What is 1657 to the power of 1/10, to the nearest integer? 2 What is the ninth root of 12038 to the nearest integer? 3 What is 37397 to the power of 1/2, to the nearest integer? 193 What is the tenth root of 379 to the nearest integer? 2 What is 1282 to the power of 1/3, to the nearest integer? 11 What is the cube root of 169 to the nearest integer? 6 What is 57589 to the power of 1/10, to the nearest integer? 3 What is the square root of 28849 to the nearest integer? 170 What is 1701 to the power of 1/2, to the nearest integer? 41 What is 7880 to the power of 1/4, to the nearest integer? 9 What is the square root of 6371 to the nearest integer? 80 What is 109329 to the power of 1/2, to the nearest integer? 331 What is 154 to the power of 1/2, to the nearest integer? 12 What is 594 to the power of 1/3, to the nearest integer? 8 What is 1357 to the power of 1/3, to the nearest integer? 11 What is the cube root of 132688 to the nearest integer? 51 What is the square root of 35072 to the nearest integer? 187 What is the third root of 4868 to the nearest integer? 17 What is 1783 to the power of 1/3, to the nearest integer? 12 What is the square root of 2649 to the nearest integer? 51 What is 169143 to the power of 1/3, to the nearest integer? 55 What is 147380 to the power of 1/8, to the nearest integer? 4 What is the square root of 2587 to the nearest integer? 51 What is the eighth root of 6217 to the nearest integer? 3 What is the square root of 1952 to the nearest integer? 44 What is 2096 to the power of 1/2, to the nearest integer? 46 What is the square root of 42142 to the nearest integer? 205 What is the sixth root of 170268 to the nearest integer? 7 What is 946 to the power of 1/10, to the nearest integer? 2 What is the seventh root of 24500 to the nearest integer? 4 What is 1685 to the power of 1/7, to the nearest integer? 3 What is 4654 to the power of 1/4, to the nearest integer? 8 What is 1247 to the power of 1/3, to the nearest integer? 11 What is the fifth root of 10303 to the nearest integer? 6 What is 38 to the power of 1/3, to the nearest integer? 3 What is the fifth root of 173027 to the nearest integer? 11 What is 192 to the power of 1/3, to the nearest integer? 6 What is the eighth root of 146081 to the nearest integer? 4 What is the square root of 20369 to the nearest integer? 143 What is the square root of 33767 to the nearest integer? 184 What is the third root of 511 to the nearest integer? 8 What is 316 to the power of 1/3, to the nearest integer? 7 What is the fifth root of 5008 to the nearest integer? 5 What is 8392 to the power of 1/3, to the nearest integer? 20 What is the eighth root of 226 to the nearest integer? 2 What is 6113 to the power of 1/2, to the nearest integer? 78 What is 4841 to the power of 1/3, to the nearest integer? 17 What is 38226 to the power of 1/9, to the nearest integer? 3 What is the square root of 33278 to the nearest integer? 182 What is the third root of 32956 to the nearest integer? 32 What is 5303 to the power of 1/10, to the nearest integer? 2 What is 166968 to the power of 1/6, to the nearest integer? 7 What is 1988 to the power of 1/5, to the nearest integer? 5 What is 2069 to the power of 1/2, to the nearest integer? 45 What is the square root of 36767 to the nearest integer? 192 What is the square root of 1917 to the nearest integer? 44 What is the tenth root of 14806 to the nearest integer? 3 What is 3728 to the power of 1/3, to the nearest integer? 16 What is the cube root of 15221 to the nearest integer? 25 What is 3397 to the power of 1/5, to the nearest integer? 5 What is 18986 to the power of 1/3, to the nearest integer? 27 What is the cube root of 1 to the nearest integer? 1 What is 181 to the power of 1/4, to the nearest integer? 4 What is the fifth root of 1050 to the nearest integer? 4 What is the third root of 86831 to the nearest integer? 44 What is the square root of 59936 to the nearest integer? 245 What is 6441 to the power of 1/3, to the nearest integer? 19 What is the square root of 146552 to the nearest integer? 383 What is 2757 to the power of 1/3, to the nearest integer? 14 What is 319 to the power of 1/9, to the nearest integer? 2 What is the fifth root of 1849 to the nearest integer? 5 What is the square root of 4741 to the nearest integer? 69 What is the third root of 3026 to the nearest integer? 14 What is the square root of 50640 to the nearest integer? 225 What is 142530 to the power of 1/10, to the nearest integer? 3 What is 4737 to the power of 1/2, to the nearest integer? 69 What is the square root of 9629 to the nearest integer? 98 What is 26321 to the power of 1/2, to the nearest integer? 162 What is 41385 to the power of 1/5, to the nearest integer? 8 What is the third root of 4289 to the nearest integer? 16 What is the tenth root of 91446 to the nearest integer? 3 What is the square root of 590 to the nearest integer? 24 What is 1139 to the power of 1/3, to the nearest integer? 10 What is 95 to the power of 1/3, to the nearest integer? 5 What is the ninth root of 2634 to the nearest integer? 2 What is 7091 to the power of 1/3, to the nearest integer? 19 What is 93987 to the power of 1/2, to the nearest integer? 307 What is the fourth root of 1481 to the nearest integer? 6 What is the square root of 63349 to the nearest integer? 252 What is the square root of 2138 to the nearest integer? 46 What is 11669 to the power of 1/2, to the nearest integer? 108 What is the third root of 2782 to the nearest integer? 14 What is the square root of 8830 to the nearest integer? 94 What is the cube root of 1066 to the nearest integer? 10 What is 37057 to the power of 1/2, to the nearest integer? 193 What is 1089 to the power of 1/2, to the nearest integer? 33 What is the third root of 7396 to the nearest integer? 19 What is the eighth root of 1843 to the nearest integer? 3 What is the tenth root of 1368 to the nearest integer? 2 What is the fourth root of 689 to the nearest integer? 5 What is 9860 to the power of 1/3, to the nearest integer? 21 What is the seventh root of 33635 to the nearest integer? 4 What is 17482 to the power of 1/4, to the nearest integer? 11 What is 32104 to the power of 1/5, to the nearest integer? 8 What is the fourth root of 1819 to the nearest integer? 7 What is the ninth root of 5548 to the nearest integer? 3 What is the cube root of 1554 to the nearest integer? 12 What is 1041 to the power of 1/3, to the nearest integer? 10 What is 17118 to the power of 1/9, to the nearest integer? 3 What is the fourth root of 13733 to the nearest integer? 11 What i
{ "pile_set_name": "DM Mathematics" }
3*p(z). -2*z + 1 Let k(m) = 4 + 1 + 2 - 8. Let j(q) = 3. Let t(z) = -2*j(z) - 7*k(z). Let n(v) = -v + 2. Calculate -3*n(l) + 6*t(l). 3*l Let j(o) = 143*o. Let r(n) = 11*n. Give 5*j(p) - 66*r(p). -11*p Let q(a) = -2*a**3 - 13*a**2 - 4. Let w(t) = t**2 + 1. Give -q(j) - 4*w(j). 2*j**3 + 9*j**2 Let z(v) = -770*v**3 - 85*v**2 + 910*v. Let j(d) = 55*d**3 + 6*d**2 - 65*d. Let m(q) = 85*j(q) + 6*z(q). Let u(r) = 5*r**3 - 6*r. Give -6*m(n) + 65*u(n). -5*n**3 Let s(l) = -l**2. Let p(f) = 6*f**2 + 1. Suppose -5*n + 10 = -4*n - 3*y, y = -2*n - 1. Determine n*p(c) + 5*s(c). c**2 + 1 Let k(a) = -8*a**3 + 7*a**2 - 7*a + 7. Let y be 1/((2 - 3)/6). Let p = y - -4. Let w(l) = -l**3 + l**2 - l + 1. Give p*k(j) + 14*w(j). 2*j**3 Suppose 3*s - 18 = -27. Let z(c) = -5*c**3 - 4*c**2 + c. Let l(i) = 4*i**3 + 3*i**2. Give s*z(q) - 4*l(q). -q**3 - 3*q Let s(k) = -11*k**3 + 17*k**2 - 14*k + 6. Let b(h) = -4*h**3 + 6*h**2 - 5*h + 2. What is 17*b(a) - 6*s(a)? -2*a**3 - a - 2 Let w = -11 - -36. Suppose 0 = 2*b + 3*b - w. Let v(z) = 5*z**2 + 2. Let n(s) = -11*s**2 - 5. What is b*v(k) + 2*n(k)? 3*k**2 Let b(o) = -9*o**2 - o - 6. Let t(k) = -4*k**2 - 3. Give -2*b(a) + 5*t(a). -2*a**2 + 2*a - 3 Let q(t) = -4*t**2 - 2*t - 10. Let h(u) = 5*u**2 + 2*u + 11. What is 3*h(d) + 4*q(d)? -d**2 - 2*d - 7 Let x(f) = -f - 5. Let u(o) = -o - 4. Let n = -13 + 17. Calculate n*x(v) - 5*u(v). v Let c(s) = s**2 - 7*s + 3. Let a be c(7). Let n(q) be the second derivative of q**3/6 + 5*q**2/2 - q. Let g(f) = -f - 4. What is a*n(d) + 4*g(d)? -d - 1 Let t(r) = 4*r**3 - 2*r**2. Let b(v) be the third derivative of 7*v**6/40 - 11*v**5/60 - v**2. Let a be (-12)/6 + (1 - 1). What is a*b(y) + 11*t(y)? 2*y**3 Let t(c) = -8*c**2 - 6*c - 6. Let u(d) = -d**2 - d - 1. Suppose 2*g + 3*g + 50 = 0. Let z = 9 + g. Give z*t(b) + 6*u(b). 2*b**2 Let b be (2/6)/((-7)/(-126)). Let d(w) = -3*w**2 - 6*w + 6. Let a(t) = 5*t**2 + 11*t - 11. What is b*a(v) + 11*d(v)? -3*v**2 Let n(f) = 11*f**2 - 4*f - 4. Let y(b) = -275*b**2 + 99*b + 99. Determine -99*n(c) - 4*y(c). 11*c**2 Let t(w) = 5*w**3 - 5*w**2 + 5*w - 5. Let s(m) = -5 + 3*m - 3*m**2 + 2*m**3 + 3 + 0*m**3 - 1. Calculate -5*s(i) + 3*t(i). 5*i**3 Let r(j) = j**2 - 5*j - 4. Let f(s) = 3*s**2 - 15*s - 11. What is -3*f(m) + 8*r(m)? -m**2 + 5*m + 1 Let i(k) = 4*k**3 + 3*k**2 - 7*k. Let g(j) = 11*j**3 + 8*j**2 - 20*j. Determine 6*g(w) - 17*i(w). -2*w**3 - 3*w**2 - w Let u(f) = 4*f**3 - 2*f. Let l(s) = -13*s**3 + 7*s. Give -2*l(m) - 7*u(m). -2*m**3 Let c(v) = -v**2 + 1. Let r(x) = 3*x**2 - 2. Determine 10*c(s) + 6*r(s). 8*s**2 - 2 Let k(t) = 2*t + 9. Let l be k(-6). Let f(o) = o**2 - o. Let q(x) = 4*x**2 - 6*x - 1. Let w(a) = l*f(a) + q(a). Let i(c) = c + 1. Calculate -3*i(y) - w(y). -y**2 - 2 Let n(j) = 5*j + 7. Let q(h) = 5*h + 8. Give -6*n(k) + 5*q(k). -5*k - 2 Let f(t) = -t**3 + t + 1. Let u(w) = 3*w**3 - 2*w**2 - 4*w - 5. Determine 6*f(r) + u(r). -3*r**3 - 2*r**2 + 2*r + 1 Let u(p) = p**2 - p. Let g(s) = s**2 - 3*s. Determine -g(d) + 3*u(d). 2*d**2 Let b(h) be the second derivative of -h**3/3 + 6*h. Let l(z) = -z. What is -b(y) + 5*l(y)? -3*y Let h(z) = z**2 - z. Let r = -36 - -62. Let x be (-100)/r + (-6)/39. Let s(a) = 3*a**2 - 6*a + 1. Determine x*h(q) + s(q). -q**2 - 2*q + 1 Let w(x) = -2*x**3 + x - 4 - x**3 - 5*x. Let v(n) = -7*n**3 - 9*n - 9. Suppose -i = -5 + 4. Suppose i = 3*h - 3*a - 29, -5*a = 2*h - 13. Give h*w(m) - 4*v(m). m**3 Let r(w) = -w**2 + w - 1. Let n be (-56)/(-12) + 4/(-6). Suppose f - n*f = 0. Let z be f/3 - 2 - -3. Let j(y) = 5*y**2 - 4*y + 3. Calculate z*j(v) + 3*r(v). 2*v**2 - v Let s(o) = 17*o + 14*o - 47*o + 14*o. Let f(m) = -9*m. Calculate -5*f(l) + 21*s(l). 3*l Let z(i) = i**2 + 4*i - 1. Let y(u) = -2*u. Determine -7*y(p) - 3*z(p). -3*p**2 + 2*p + 3 Let v(r) = -9*r - 1. Let u(z) = 8*z + 2. What is -2*u(a) - 3*v(a)? 11*a - 1 Let j(f) = -f - 1. Let y(l) = 2. Determine -2*j(n) - y(n). 2*n Let a = 38 + -37. Let s(i) = 6. Let g(v) = 5. Let d(z) = 5*g(z) - 4*s(z). Let u(m) = m + 2. Determine a*d(p) - u(p). -p - 1 Let t(d) = -5*d**2 - 1 + 0 - 3*d**2 + 0*d**2. Let s(l) = l + 4 - 5 - 7*l**2 - l. Give -7*s(r) + 6*t(r). r**2 + 1 Let f(a) = -a - 11. Let t be f(-5). Let p(o) = -8*o**3 + 6. Let x(z) = 7*z**3 - 5. What is t*x(k) - 5*p(k)? -2*k**3 Let w(n) = n. Let k = 20 - 22. Let x(u) = -2*u**2 + u. Determine k*w(s) + x(s). -2*s**2 - s Let q(m) = -m + 1. Let c(u) = -2*u - 4. Give c(f) + 5*q(f). -7*f + 1 Let x(d) = d**3 - 2*d**2 - 3*d + 1. Let v(o) = -1 + 2*o + 1 + o**2. Let z be 1 + (3/(-2))/((-6)/8). Suppose -t - 2 = -3*p, -4*t = 1 - 17. Give p*x(l) + z*v(l). 2*l**3 - l**2 + 2 Let u(g) = 4*g + 6. Let q(a) = a + 1. Calculate -11*q(o) + 2*u(o). -3*o + 1 Let l(u) = -4*u**3 - 3*u**2 + u + 1. Let x(g) = -g**3 - g**2 + g. Give -l(q) + 3*x(q). q**3 + 2*q - 1 Let m(o) = 2*o**2 + 4*o + 4. Let t(h) = 4*h**2 + 7*h + 11. Let b(l) = -l + 1. Let n(j) = 2*b(j) - t(j). What is 9*m(s) + 4*n(s)? 2*s**2 Let x(h) = h**2 + 10*h - 15. Let i be x(-11). Let d(w) = -12*w**2 + 15. Let y(g) = 3*g**2 - 4. What is i*d(z) - 15*y(z)? 3*z**2 Let k(i) = 6*i - 2. Let s(d) = 13*d - 3. Calculate 5*k(r) - 3*s(r). -9*r - 1 Let w(q) = -10*q - 5. Let g(b) = -2*b - 1. Determine -11*g(k) + 2*w(k). 2*k + 1 Let i(j) = 3*j - 2*j + 0*j. Let l(x) = -2*x. Let u = -48 + 57. Give u*i(w) + 4*l(w). w Let o(c) = -3*c**3 - 10*c**2 + 8*c + 4. Let j(p) = -5*p**3 - 19*p**2 + 15*p + 7. Let f(b) = 4*j(b) - 7*o(b). Let v(r) = -5*r**2 + 3*r. What is -3*f(u) + 4*v(u)? -3*u**3 - 2*u**2 Suppose -2*r - r + 6 = 0. Let j(t) = -t + 2. Let u(v) = 2*v + 1. Let i(w) = 5*w + 3. Suppose 2*y + 9 = 3. Let s(g) = y*i(g) + 8*u(g). Give r*s(b) + j(b). b Let g(y) = y**3 + 7*y**2 - 9*y - 3. Let o be g(-8). Let b(i) = 2*i - 1. Suppose 2*f - 4 = 2. Let j(x) = -4*x + 2. Calculate f*j(z) + o*b(z). -2*z + 1 Let p(c) = 323*c**2 - 114*c. Let o(y) = -14*y**2 + 5*y. Determine 114*o(u) + 5*p(u). 19*u**2 Let i(q) = q**3 - 3*q**2 + 3. Let j be 3*12 + 0 - 2. Let d(r) = 17*r**2 - 22 - 6*r**3 + 0*r**3 + 5. Determine j*i(g) + 6*d(g). -2*g**3 Let z(k) = -3*k**2 + 5*k + 3. Let q(w) = -7*w**2 + 11*w + 7. Let x(n) = 4*q(n) - 9*z(n). Let i(g) = -g**3 + 6*g**2 + 3*g - 6. Give -i(u) - 6*x(u). u**3 + 3*u Let v(w) = -43*w**2 - 4*w + 13. Let z(x) = -21*x**2 - 2*x + 6. What is -6*v(b) + 13*z(b)? -15*b**2 - 2*b Let m(y) = -5*y - 1. Let f be (-3)/(6 - -3)*(-2 - 1). Let u(v) = -7*v - 4*v + 12*v. Give f*m(h) + 6*u(h). h - 1 Let a(l) = -18*l**3 - 3*l + 3. Let t(j) = -17*j**3 - j**2 - 2*j + 2. Give -2*a(y) + 3*t(y). -15*y**3 - 3*y**2 Let g(f) = -2*f**3 - 6*f**2 + 3*f - 1. Let t(h) = 4*h**3 + 13*h**2 - 6*h + 3. Calculate -13*g(m) - 6*t(m). 2*m**3 - 3*m - 5 Let t(v) = -v. Let l(a) be the second derivative of -a**3/3 + 2*a. Suppose -2*f - 2*f - 4*p = 0, -9 = f + 4*p. Determine f*l(b) - 4*t(b). -2*b Let f(a) = 23*a + 2. Let v(z) = -11*z - 1. What is -4*f(n) - 9*v(n)? 7*n + 1 Let d(q) = 6*q**3 - 7*q**2 - 6*q + 3. Let m(j) = 7*j**3 - 8*j**2 - 7*j + 3. What is -6*d(i) + 5*m(i)? -i**3 + 2*i**2 + i - 3 Let v(y) = 14*y**3 + 3*y**2 - 11*y - 8. Let z(g) be the third derivative of -g**6/24 - g**5/60 + g**4/6 + g**3/2 + 4*g**2. Give 4*v(j) + 11*z(j). j**3 + j**2 + 1 Let f(v) = 8*v**3 + 6*v**2 + 7*v + 5. Let k(u) = 23*u**3 + 14*u**2 + 23*u + 14. Let c(b) = b**2 - b. Let d(x) = -3*c(x) - k(x). Determine -6*d(o) - 17*f(o). 2*o**3 + o - 1 Let a(p) = -4*p**2 - 1. Let h = 7 + -5. Suppose -h*l - 6 = l, -m = -l. Let q(b) = b**2. Give m*a(i) - 9*q(i). -i**2 + 2 Let r(u) = u**2 + 1. Let g(s) = 3*s**3 + 6*s**2 + 6. What is -g(y) + 6*r(y)? -3*y**3 Let d(t) = -13*t**2 + 11*t + 4. Suppose -55 = 5*g - 10*g. Suppose -g*a = -7*a - 24. Let s(r) = -7*r**2 + 6*r + 2. Determine a*d(y) - 11*s(y). -y**2 + 2 Let p(a) = 1. Let u(x) = 10*x + 1. Give 2*p(d) - u(d). -10*d + 1 Let y(r) = 6*r. Let g(q) = -5*q + 1. Give 5*g(m) + 4*y(m). -m + 5 Let x(o) = -2*o**3 + 6*o**2 - 7*o - 4. Suppose -5*a + 3 + 27 = 0. Let z(w) = 4*w**3 - 11*w**2 + 13*w + 7. Calculate a*z(t) + 11*x(t). 2*t**3 + t - 2 Let f(y) = -2*y**2 + y + 2. Let n(o) = o**3 - 5*o**2 + 3*o + 5. Let x be ((-10)/(3 - (-1 - -3)))/2. What is x*f(h) + 2*n(h)? 2*h**3 + h Suppose 4*c = 0, 3*c + 5 = i - 3. Let s(o) = -2*o - o - 4*o - 5*o**2 - 7 + 14*o**2. Let p(b) = 14*b**2 - 11*b - 11. Determine i*s(v) - 5*p(v). 2*v**2 - v - 1 Let n be -1 - ((10 - 7)
{ "pile_set_name": "DM Mathematics" }
i(m) = 2*m + 6. Let g be i(-4). Is a(g) a multiple of 14? True Suppose 5*q - 15 = 2*a, 2*a + 4 + 5 = 3*q. Suppose q*x - x = 60. Is 11 a factor of x? False Let v(n) = n**3 + 8*n**2 - 6*n - 1. Does 12 divide v(-8)? False Let y(s) = -s**3 + 3*s**2 + 3. Let p(v) = -2*v**3 + 2*v**2 + 2*v + 1. Let w be p(-1). Let d be y(w). Suppose d*g - 5*g = -90. Is 15 a factor of g? True Let h be ((-2)/4)/((-8)/768). Suppose -a = 2*a - h. Suppose -4*n = 4 - a. Does 2 divide n? False Let l(a) = a + 4. Suppose 2*y + 3*q - 7 = 0, 0*q = -4*y + 2*q - 26. Let b be l(y). Is 30 + b/(1 - 4) a multiple of 10? True Suppose 0 = -4*k + 6 + 26. Is k even? True Suppose -7*y - 57 = -10*y. Does 4 divide y? False Suppose 7*b + 25 = 4*b - 2*o, 0 = -2*b - 5*o - 35. Let x(j) = -2*j**2 - 5*j + 7. Let a be x(b). Let s = a - -33. Is 10 a factor of s? False Let p(l) = l**3 + 8*l**2 - l - 4. Let h be p(-8). Let r be 2 + h + -1*1. Suppose -111 - 9 = -r*y. Does 19 divide y? False Let t(r) = r**2 - 3*r + 22. Is 8 a factor of t(6)? True Let z be (-1)/(-2) - 335/(-2). Suppose -4*r - 248 = 4*i, 5*r + 124 + z = 4*i. Let q = r - -86. Is 14 a factor of q? False Let y be (-48)/10*(-20)/6. Suppose 0 = -4*c + y, 2*w - 2*c = c + 66. Is 12 a factor of w? False Let s(h) = -h**3 - 5*h**2 + 12*h + 9. Let p = 19 - 27. Is 35 a factor of s(p)? True Let s(k) = k**3 - 3*k**2 - k + 2. Let d be 3 + (-1)/(-2)*-2. Let r be s(d). Is 3 a factor of 22/8 + (-1)/r? True Let y = -8 - -7. Let s = y + 21. Suppose -4*c + s = -4*z - 12, 4*z = 20. Is 13 a factor of c? True Suppose -5*a + 4*r + 65 = 0, r + 7 = a - r. Suppose 4*f = -f - 2*i + a, 0 = -4*f - 5*i. Does 6 divide f - 1*2/(-2)? True Let t = 20 + -11. Suppose -t*s + 52 = -5*s. Does 11 divide s? False Let c = -3 + 5. Suppose c - 25 = -v. Is 13 a factor of v? False Suppose -22 = -4*y + 3*y - 5*d, 5*y - 3*d + 2 = 0. Suppose 0*a = a - y*s + 5, -5*s + 16 = a. Let u(g) = 36*g. Is 16 a factor of u(a)? False Let s(m) = m**2 - 4. Let x be s(3). Suppose 9*d - 228 = x*d. Is 19 a factor of d? True Let o(a) = -a**3 + 6*a**2 - a + 3. Let v be o(6). Let g = v - -43. Is 20 a factor of g? True Does 5 divide 10/70 + 97/7? False Suppose 156 - 924 = -12*g. Does 32 divide g? True Suppose 4*u + 2*z = 5*z + 431, 0 = -3*u + 2*z + 324. Suppose 5*d - u - 65 = -2*o, d = 2*o + 23. Is 11 a factor of d? True Let v(f) = 3*f**2 + 2*f - 1. Let m be v(5). Suppose -3*q + m = -0*q. Is q a multiple of 13? False Suppose -5*b = -13 - 2. Suppose -g = b*r - 41, 2*r - 25 - 4 = g. Does 3 divide r? False Let k(d) = -d**2 + 6*d - 4. Let l be k(5). Suppose w = -3 - l. Does 8 divide 1 - ((-2 - w) + -25)? True Suppose 0 = -17*m + 18*m - 75. Is 25 a factor of m? True Let j(t) = t**3 - 11*t**2 + 11*t - 6. Let k be j(10). Suppose -k*r + 4*h + 216 = 0, 0 = 4*h - 0*h + 8. Is 26 a factor of r? True Let v = 145 - 60. Is 9 a factor of v? False Let t be 10 + (3 - 3) + -2. Suppose -3*j + t*j - 75 = v, -20 = 4*v. Is 7 a factor of j? True Let b(l) = l**2 - 8*l + 5. Is b(9) a multiple of 3? False Suppose -4*n - 38 = -s, -n = -0*s + 4*s - 152. Suppose -4*h = -2*l - s, h - 3*l - 2 = -4*l. Is h a multiple of 7? True Suppose 2*l + 108 = -3*j + 2*j, -l = -5*j + 43. Let n = l - -81. Is 17 a factor of n? False Let z(k) be the third derivative of k**4/24 + 7*k**3/6 - 2*k**2. Let x be z(-7). Does 3 divide 7 + x - (-2 + 1)? False Suppose 9 = 4*f + 1. Does 7 divide ((-10)/8)/(f/(-40))? False Let q(p) = -22*p - 8. Is 51 a factor of q(-5)? True Let p(a) = -a. Let f be p(-2). Is 12 a factor of 24 - 0/(0 - f)? True Suppose 5*k = 39 + 51. Suppose -2*c + h + k - 8 = 0, 2*c + 2*h - 16 = 0. Suppose g + g = c. Is g a multiple of 3? True Let u(d) = 6*d - 5. Let q be u(5). Suppose q = 5*i, 7*i - 2*i = -4*w + 457. Suppose l - 5*l = -w. Is l a multiple of 16? False Suppose -7 = t - 2*u, 0 = -0*t + t + u - 8. Suppose d - t*o = o + 26, 5*d = 3*o + 62. Is d a multiple of 10? True Suppose 5*f = 12*f - 455. Is 13 a factor of f? True Let v be ((-16)/12)/(1/(-6)). Suppose k - 25 = 4*r, -2*r = -3*k + 33 - v. Suppose k*f = 0, -u - 5 = 4*f - 41. Does 18 divide u? True Let m(p) = p**3 - 8*p**2 + 8*p - 2. Let q be m(7). Suppose -q*l + 60 = -0. Does 3 divide l? True Does 9 divide ((-8)/4)/(180/(-87) - -2)? False Suppose -3*k - d + 2*d + 29 = 0, -2*k - 5*d + 25 = 0. Let n(p) = 2*p + 1. Is n(k) a multiple of 7? True Let b(s) = -s**3 + 10*s**2 - 4*s - 9. Let f be b(7). Let d be 4/(-26) + (-320)/(-52). Suppose -d*k + f = -k. Is k a multiple of 22? True Let m(g) = g**2 - 3*g - 5. Let p be ((-10)/(-4))/((-1)/(-2)). Is m(p) even? False Does 11 divide 2 + (53 - 0) - 0? True Suppose 5*r = 24 + 266. Suppose -4*x - r = -3*u - 0*x, 12 = 2*u + 4*x. Is 14 a factor of u? True Let v(m) = 4*m**3 + m. Let p be v(1). Let y(j) be the third derivative of j**4/24 + 2*j**3/3 - 4*j**2. Is 5 a factor of y(p)? False Let u(m) be the first derivative of m**6/120 - m**5/60 + m**3/3 + 1. Let d(k) be the third derivative of u(k). Does 11 divide d(-2)? False Is 23 a factor of 55 - (-4 + 0/(-3))? False Suppose -8*i + 828 = i. Is i a multiple of 23? True Let a(m) = m**3 + 2*m**2 + 4*m - 5. Does 2 divide a(2)? False Let i = 8 - 7. Is 8 + i + 0 - -1 a multiple of 6? False Suppose 0 = -4*n + 2*n. Suppose 4*j + n*j = 148. Is j a multiple of 14? False Let h(l) = 12*l. Is 21 a factor of h(6)? False Suppose 0 = -2*h + k + 5, 2*h - 4*k + 1 = 3. Suppose -h*n + 52 = n. Is n a multiple of 13? True Let g(l) = 6*l**3 - 2*l**2 + 3*l. Let q be g(3). Suppose -s + 4*s = 2*b - q, 4*s = 4*b - 304. Suppose p + 2*p = b. Does 13 divide p? False Suppose -u - 5 = -0. Let o be 1/((2 + u)/(-6)). Suppose -17 = -o*b + 15. Is b a multiple of 16? True Suppose 0*g = -2*i - g + 344, -2*i + 348 = 2*g. Suppose z + z - i = 0. Suppose -3*t + z = 2*t. Does 17 divide t? True Suppose 0 = 2*x - 5*x - 15. Let u = x + 10. Is u a multiple of 5? True Suppose -4*s = -3*l + 2 + 2, 30 = 5*s + 5*l. Let q = s + 4. Is 3 a factor of q? True Let j = 9 - -24. Suppose 0 = -4*t - 5*w + j + 62, 4*t + 4*w = 100. Is t a multiple of 15? True Let k(t) = 20*t**2. Is 20 a factor of k(-1)? True Is (6/(-2) - (12 + -12))*-67 a multiple of 21? False Suppose 2*j - 707 = -b, -734 - 309 = -3*j + 2*b. Is j a multiple of 13? True Let l(h) = -17*h + 28. Is l(-6) a multiple of 26? True Let g = -3 + 21. Does 9 divide g? True Let q = -26 + 22. Let a = q - -27. Is 6 a factor of a? False Let f be (-23)/(-4) - (-2)/8. Suppose -x = -5*p - f*x + 15, -2*p + 4*x = -6. Suppose -127 = -4*v + c, -v + 2*v - p*c - 40 = 0. Is 11 a factor of v? False Suppose -4*c + 2*j + 0*j = 166, 5*c - 4*j + 206 = 0. Let d = -25 - c. Does 17 divide d? True Let p = -19 - -12. Let t = 7 - p. Does 10 divide t? False Let f = 427 - 237. Is f a multiple of 38? True Let l = -43 + 67. Suppose 4*c - 25 = -3*d, -c = 3*c + 4*d - l. Is c a multiple of 2? False Let u = 52 - 45. Does 3 divide u? False Let k be ((-1)/3 + 1)*6. Suppose -4*t + 36 = -k*b, t + 11 = -3*b - 0*b. Does 4 divide t? True Suppose 2*z = -3*f - 3, -3*z + 0*z = 4*f + 3. Is z a multiple of 2? False Let h = 21 - 5. Is 8 a factor of h? True Let f = 24 - -4. Does 15 divide f? False Suppose 485 = -4*m + 2073. Does 29 divide m? False Suppose 5*m - 153 = -2*b, -4*m + 148 = -2*b + 40. Suppose -t + m = 3. Is 21 a factor of t? False Let v(z) = -3*z + 6. Let u be v(6). Let l be (-2)/6 + (-232)/u. Let p = l + -10. Is p a multiple of 9? True Suppose z = -4*z + 15. Is 5 a factor of (1/(z/(-36)))/(-1)? False Let k(o) be the third derivative of o**6/120 - o**5/30 + o**4/24 + 2*o**3/3 + 11*o**2. Suppose 5*t + 0*t - 15 = 0. Is k(t) a multiple of 16? True Let k be ((-4)/(-6))/((-1)/(-3)). Suppose 0 = -k*a - a + 9. Let n = 16 - a. Is 13 a factor of n? True Suppose -2*m = 0, -3*d + 2*m - m = 0. Let o be (d + -1)*306/(-6). Suppose -4*c = 7 - o. Is c a multiple of 4? False Let w(j) = -j**2 - 6*j. Let x be w(-5). Suppose 3*k + 7 = h + 79, 0 = -x*h. Suppose n - k = 4*u, -3 - 33 = -4*n + u. Does 3 divide n? False Let h be 0 + -3 + 3 + 5. Suppose 51 = -2*z + h*z. Is 11 a factor of z? False Let q = -2 + -4. Let p = q - -8. Suppose p*f = -4*x + 8, -3*x + 15 = 2*f + 2. Is f a multiple of 14? True Let f(p) = 70*p**2 + p - 1. Let k be f(1). Let r = k - 28. Let u = r - 24. Is u a multiple of 9? True Let t(o) = 2*o + 4. Let l be t(-9). Let y = l + 36. Does 11 divide y? T
{ "pile_set_name": "DM Mathematics" }
+ 1 for d. -4 Solve -16 = -2*z - 2*v, -4*z + 6*v - v - 13 = 0 for z. 3 Solve 4*u - 4 = 3*u + 3*b, -16 = -4*u + 5*b for u. 4 Solve -3*g = 5*m + 37, 5*g - m + 5 + 10 = 0 for g. -4 Solve -3*c = -34*t + 30*t + 3, -5*c + 15 = 0 for t. 3 Solve -3*v + q + 7 = -12, -2*v = 2*q - 2 for v. 5 Solve 6*i = 4*i + 10, -3*l + 4*i = 35 for l. -5 Solve 23*t + 3*v - 5 = 25*t, 5*t - 5*v + 5 = 0 for t. 2 Solve -2*r = -32*g + 31*g + 12, -3*g + r + 11 = 0 for g. 2 Solve 4*b + 29 = -5*h, -h - 3*b = -7*b + 1 for h. -5 Solve -5*n = 4*w + 8, -4*w + 24 = -11*n + 8*n for w. 3 Solve 2*l + 0*l - 3*z + 6 = 0, 3*l + 3*z - 21 = 0 for l. 3 Solve -5*s + s = -t + 2, s = -4*t + 8 for t. 2 Solve -6 = 2*p + 61*i - 63*i, 2*p - 4*i = -16 for p. 2 Solve -4*c = -s + 17, c - 6 = -3*s - 7 for s. 1 Solve -5*w - 10 = 5*d, -23*w + 2*d = -24*w for w. -4 Solve 13 = -4*w + c, 144 = -c + 149 for w. -2 Solve -5*g + o + 5 = 0, -4*o + 141 - 144 = -3*g for g. 1 Solve 13*g + j = 18*g - 7, -2*j + 4 = -g for g. 2 Solve -5*c = 3*r - 34, 5*c - 3*r = 3*c + 1 for c. 5 Solve 9 = -2*a + 3*m, -19*m = -4*a - 18*m - 13 for a. -3 Solve -2*k = -t + 10, -5*k - 18 = -2*t + 5 for k. -3 Solve 3*d = f - 1, 0 = 10*f - 12*f + d + 7 for f. 4 Solve -3*c = -5*m + c - 5, 0 = 4*c + 20 for m. -5 Solve -7*k + 2*k + 20 = 4*r, 0 = 3*r - k - 15 for r. 5 Solve 3*l - 39*q + 35*q - 31 = 0, -4*l - q = -16 for l. 5 Solve 4 = x + 4*t, 5 = 3*x - 3*t + 8*t for x. 0 Solve -3*z = -2*j - 8, -5*j + 4*z - 8 = -j for j. 2 Solve 4*w - 5*j = 50, -17*w = -16*w - 5*j - 35 for w. 5 Solve 5*z - 174*l + 173*l - 10 = 0, 0 = -4*z - 2*l - 6 for z. 1 Solve 0 = 5*p - 4*p - 5*b - 10, -4*p - 3*b = 29 for p. -5 Solve -p - 4*p = -4*o + 15, 2*o + 3 = -p for p. -3 Solve 3*w - 19 = -4*x, -w + 13 = -0*x + 3*x for x. 4 Solve -5 = -x - 0*x - 4*i, 5*x - 5*i - 25 = 0 for x. 5 Solve 4*o = -2*b - 24, -3*b - 17 = 4*o + 9 for b. -2 Solve 352*g = 355*g + 6, 4*s = -5*g - 22 for s. -3 Solve -3*l + 22 = -5*c, l + l = -2*c - 12 for c. -5 Solve 0 = -7*h + 4*h + 6, 0 = 3*g - 3*h + 9 for g. -1 Solve i = -3*z - 5 - 5, -4*z = -5*i + 26 for z. -4 Solve 4*u - 35 = -7*i + 2*i, -4*i = 3*u - 27 for i. 3 Solve -3*a - 2*v - 7 = 0, 2*v = 7*v - 5 for a. -3 Solve -5*g = 6*k - 27, 7 = 19*k - 17*k + g for k. 2 Solve -10 = 4*w - 0*w - 3*c, 4*w + 6 = c for w. -1 Solve 0 = -0*p + 3*p + 5*l + 21, 3*l = -2*p - 13 for p. -2 Solve 0 = -5*x + 17*f - 13*f + 17, 4*f = -12 for x. 1 Solve 0 = 5*g + 4*v + 12, -17*g - 9 = -13*g + 3*v for g. 0 Solve -5*f = 5*k - 45, -2*k - 5*f + 18 = -15 for k. 4 Solve -2 = -3*r + r, 2*g + r - 11 = 0 for g. 5 Solve -39 = -2*n + 5*r, 16 + 20 = 4*n - 4*r for n. 2 Solve -10*i - v + 19 = 0, -2*i - 1 = v - 4 for i. 2 Solve 22 = v + 4*k + 13, 0 = v - 2*k + 15 for v. -7 Solve 4*k - 2 = 2*d, -3*d - 3*k + 8 = 2 for d. 1 Solve -8*t + 3*t - 3*k = -14, -3*t = -k for t. 1 Solve b - 7 = -5*m + 7, -3*m - 6 = -3*b for m. 2 Solve 2*f - 52*c - 1 = -53*c, 2*f + 3*c = 11 for f. -2 Solve -4*k = 4*a - 28, 2*a + 2*k - 22 = -2*k for a. 3 Solve 3*k + 21 = 4*r, -12 = -0*k + 4*k for r. 3 Solve 0 = 2*n + 4*c - 17 + 9, n - 4 = 3*c for n. 4 Solve -2*u + 8 = -3*t, 8*t + 2*u = 9*t for t. -4 Solve -6*v + 2*v - 2 = -2*o, -4*v - 5*o + 33 = 0 for v. 2 Solve 10 = a + 2*h, 4*a + 4*h = 6*h + 10 for a. 4 Solve -d = 4*o + 4, 0*d = -2*o + 3*d - 2 for o. -1 Solve 0 = -z - 4*f - 17, 186 = 2*z + 2*f + 202 for z. -5 Solve -13*b = -o - 8*b - 15, 2*o + 8 = -b for o. -5 Solve 4*x + 26 = -2*w, 136*x + 6 = 2*w + 132*x for w. -5 Solve 5*q + 2*d - 2 = 20, 3*q - 4*d - 8 = 0 for q. 4 Solve 4*d - 3*x = 2*d + 13, d + 3*x + 16 = 0 for d. -1 Solve 4*i - i - q = -11, 4*i + q = -3 for i. -2 Solve 2*m = 3*m - d - 1, 5*m - 17 = d for m. 4 Solve 3*l - l = -2*m - 18, -14 = 2*l + m for l. -5 Solve n - 3*o = -7, -5*n - 7 = 4*o + 9 for n. -4 Solve -2*m = 4*g - 14, -2*g = 3*m - 6*m - 11 for m. -1 Solve -2*d - 3*d = 3*o + 16, o + 17 = -4*d for d. -5 Solve -i + 13 = 2*z - 6*i, -z - 3*i + 1 = 0 for z. 4 Solve 14 = -2*g + 3*d, 5*g + d = -2*d - 14 for g. -4 Solve 27 = 5*q + 3*t + 9, 0 = 3*q - 3*t - 6 for q. 3 Solve 2*l + 18 = -4*u, 2*u - 2*l - 10 = -22 for u. -5 Solve -2*d = -3*v - 25, 0 = -148*d + 150*d - v - 15 for d. 5 Solve 6*d - 4*i = 2*d + 4, -2*d + 5 = -5*i for d. 0 Solve -5*t + 25*w = 22*w - 19, 1 = 5*t + 3*w for t. 2 Solve 2*h - r = 9, -5*r - 28 = -h - 19 for h. 4 Solve -5*w + 3*c = -4, 78*w - 5*c = 81*w + 18 for w. -1 Solve 0 = 5*j, 3*i + 3*j - 7*j - 12 = 0 for i. 4 Solve -2*a = 5*f - 7, 2*f - 8 = -a - 6 for f. 3 Solve 3*d + 2*d + 15 = 0, 0 = -2*q + 3*d - 1 for q. -5 Solve -13*f + 9*f = 20, 0 = -4*o + 4*f for o. -5 Solve 0 = -4*m, -4*w = 3*m + 7 + 9 for w. -4 Solve 0 = 5*k - 2*p - 23, -54*k + 52*k + 3*p = -7 for k. 5 Solve 5 = 3*v - o, -131*o + 7 = v - 126*o for v. 2 Solve 18 = 2*k - 4*y, -578*y + 581*y = k - 11 for k. 5 Solve 2 = 11*l - 14*l + 4*h, 0 = -5*l + 2*h - 8 for l. -2 Solve u = -4*g - 0*u + 4, -2*u + 2 = 5*g for g. 2 Solve 4*b + 3*r = 9*b - 14, -r - 3 = 0 for b. 1 Solve 4*w = l, -6*l - 8 = -7*l - 4*w for l. 4 Solve 0 = -3*b - 2*z - 108 + 95, 4 = b - z for b. -1 Solve 137*m = 140*m - w + 7, -5*w - 45 = 5*m for m. -4 Solve -3*j + 21 = -4*t, -85*j + 9 = -83*j - t for j. 3 Solve -10*a - 4*d - 9 = -5*a, -a - 3*d = -7 for a. -5 Solve w = -30 + 25, -2*r + 4*w = -14 for r. -3 Solve 4*w + d + 16 = 0, -1 = w + 4*d + 18 for w. -3 Solve 5*s - o - 30 = 0, 9*s = 6*s + 5*o + 18 for s. 6 Solve -2*i = -7*i + 2*b + 25, 4*b = 4*i - 32 for i. 3 Solve -m = 5*r - 2, 2*r - 10 = 2*m - 2*r for m. -3 Solve -5*s = l + l + 26, -4 = s for l. -3 Solve -5*c = -3*c - 3*q + 3, 3*q - 15 = -2*c for c. 3 Solve -12*b + 11*b = -d, d + 2*b = -3 for d. -1 Solve 2*b = -0*b, 2*b + 12 = -4*i for i. -3 Solve -2*y - 11 = -k, 2*k + 11*y + 3 = 10*y for k. 1 Solve x + 7 = -5*a, 4*x - 2*x + 2 = -4*a for x. 3 Solve 9 = -2*k - 3*t, 16*k - 20*k + 4*t - 28 = 0 for k. -6 Solve 0 = 3*c + 6, c - 10 = -5*s - 2 for s. 2 Solve 0 = 2*a - 3*f + 7, -5*a - 10*f = -11*f - 15 for a. 4 Solve 2*k = 4*k - 3*a - 20, k - a - 8 = 0 for k. 4 Solve 0 = 5*d + 3*l - 35, -2*l - 1 = 2*d - 19 for d. 4 Solve 0 = -n - 5, 4*n - 8*n - 40 = 4*q for q. -5 Solve -64*w - 5 = 5*p - 59*w, -4*p = -5*w - 32 for p. 3 Solve 3*q - 9 = -3*y, -q = 2*y - 8 - 0 for y. 5 Solve -4*p - 6*x = -4*x + 4, 5*p = -4*x - 2 for p. -2 Solve -4 = 348*g - 344*g, 3*d - 2*g = -7 for d. -3 Solve -8 = 8*z - 3*z - s, 0 = -5*z - 5*s + 10 for z. -1 Solve 4*q + 13 = -5*f, -f - 19 = -3*q - 5 for f. -5 Solve 105*x - 103*x = 5*s - 29, -3*s - 6*x + 39 = 0 for s. 7 Solve l - 12 = 2*p - 8, -l + 5*p = -19 for l. -6 Solve 4 = 4*x, 5*w - 5*x + 2 = -18 for w. -3 Solve -v + 2*x = -1, -v + 2*x + 3*x - 5 = 0 for v. 5 Solve 0 = -g - 2*m, -2*g + m - 1 = 6*m for g. 2 Solve 2*f = 5*j + 21, -6*f + 2*f - 23 = 3*j for j. -5 Solve 3*p + 8 = 3*r + 26, -p + 9 = -2*r for p. 3 Solve 0 = 572*r - 577*r + w - 10, 0 = -r + 2*w - 11 for r. -1 Solve -120*x + 124*x + 2 = -3*r, -2*x = 4*r + 6 for r. -2 Solve -3*y - v + 2*v = 5, y = -4*v + 20 for y. 0 Solve 0 = -2*f - 3*g - 13, -2*f - 18 = f + 4*g for f. -2 Solve 5*l + 6 = 4*j, 0 = -j - 2*j + 5*l + 7 for j. -1 Solve -3*c + b + 18 = 25, -c + 4*b + 5 = 0 for c. -3 Solve 2*k = -5*a - 7, -3*a + 35*k + 11 = 40*k for a. -3 Solve 20 = h + 5*m, -4*h - 252*m - 4 = -253*m for h. 0 Solve d + y = 1, 2*d + 15 + 4 = 5*y for d. -2 Solve -2*p - 6*f + 2*f = -8, 0 = -2*p + f - 2 for p. 0 Solve -4*r - 20 = -b + 5*b, b - 3*r + 1 = 0 for b. -4 Solve 7*v - 1 = 6*v, 10 = 3*p - 5*v for p. 5 Solve 10 = -2*n + z, 3*z = n - 2*z + 14 for n. -4 Solve 20 = -5*q, 0 = -6*b + b - 2*q + 12 for b. 4 Solve 3*x = -n - 7, -3*x = -x + 4 for n. -1 Solve 2*o + 6*n - 7*n + 6 = 0, -5*n + 10 = -5*o for o. -4 Solve 3*h - 45*w - 15 = -43*w, 2*w = 6 for h. 7 Solve 7*z + 3 = 8*z, -3*x = -5*z + 27 for x. -4 Solve 8 = -y + l, 3*l = -0*l + 12 for y. -4 Solve 0 = -3*f + 3*d - 21, 0 = 45*f - 47*f - d + 1 for f. -2 Solve -5*c - 9*h = -13*h - 25, 8*c = h + 13 for c. 1 Solve 3*o - 5 = -3*a + 7, a - 5*o + 38 = 0 for a. -3 Solve -2*s + 2*t = 5*t + 14, -4*s - 20 = 2*t for s. -4 Solve 3*z = -4*h + 31, 0 = 22*z - 24*z + 3*h - 2 for z. 5 Solve 3*z - 2*m = -0 - 1, -2*m = 3*z - 7 for z. 1 Solve 0 = -g - 4*r + 24, 3*g + 1 = 7*g - 3*r for g. 4 Solve n - 6 = -4, 0 = 5*b + 4*n + 2 for b. -2 Solve -1 = d, 4*d = -3*a + 5*a - 10 for a. 3 Solve 3*w - 3*m + 18 = 0, 0 = 5*w - m + 4 + 18 for w. -
{ "pile_set_name": "DM Mathematics" }
4 What is the value of (2/(-24)*1200/(-120))/((-4)/(-3))? 5/8 What is the value of (123/(452640/(-128)))/(6/(3*-1))? 2/115 Calculate (2/45)/((530/11925)/((-3)/(-54))). 1/18 What is the value of ((-35)/(-7))/(267/(-890))*3/2? -25 What is the value of -64*27/3348*31? -16 What is ((-3360)/(-1120))/((-2)/(-2))? 3 What is 15/(-1125)*20*(-50)/12? 10/9 What is the value of (-6)/(-1)*13/728*-8? -6/7 (63/(-9996)*-34)/(60/(-14)) -1/20 Calculate (589/(-31217))/(-3*1/(-6)). -2/53 4/((2/(-8))/(2*(-18)/1872)) 4/13 What is the value of (-1)/5*(-10)/4*94/235? 1/5 (50/(-625))/((-1)/5)*(-5)/1 -2 What is the value of (-23280)/(-4268)*2/(-5)? -24/11 Calculate (15/5)/(21*17/(-3689)). -31 What is (-6)/(-162)*(-153)/85*60/9? -4/9 Calculate (((-8)/(-4)*-4)/(-4))/(-5). -2/5 Evaluate (108/(-60))/(((-3)/(-10))/(78/(-52))). 9 What is the value of (60/(-960))/(15/(-4)*5/(-25))? -1/12 What is (-16)/(5*(-4)/10)? 8 ((-112)/40)/((-6)/(-105)*7) -7 What is (-2*(-8)/(-3))/(132/(-33))? 4/3 Evaluate (2/180)/(1083/(-5415)). -1/18 Calculate (3/30)/(32/160)*22. 11 What is the value of 8/(-12)*(-47)/((-1316)/630)? -15 Evaluate (-1)/6*(-147)/14*88/(-308). -1/2 ((-4)/6)/(634/16167) -17 Evaluate (-8*(-3)/(-9))/(86/129*1). -4 What is the value of ((35/(73255/(-92)))/((-1)/7))/2? 2/13 What is -34*(-27)/(-45)*(-10)/(-12)? -17 What is (-10)/(-4)*(-210)/525? -1 Calculate -9*(80/(-480))/((-6)/(-4)). 1 What is the value of 23/((-207)/54)*2/9*6? -8 Evaluate -18*-9*(-11)/792. -9/4 ((-3168)/128)/((-54)/48) 22 What is the value of ((-14)/(-1))/294*12? 4/7 What is 25/2*(-38)/(-380)? 5/4 48*16*(-22)/1056 -16 Evaluate (3/(-4))/((-5)/(-60)). -9 What is ((6/8)/((-60)/(-20))*2)/(-1)? -1/2 (13625/436)/((-10)/8) -25 Evaluate 22/(-4)*(198/(-55))/((-1650)/(-2500)). 30 Calculate ((-79)/(1659/(-812)))/4. 29/3 Evaluate (-112)/5880*8*35/224. -1/42 Calculate (24/(-1056))/(34/(-408)). 3/11 Evaluate (-14)/(-21)*18*(-3)/(-234). 2/13 Evaluate 184/92*3/(-6). -1 Calculate (-399)/(-95)*5/(-3). -7 Evaluate (5/5)/(-3*(-5)/(25/10)). 1/6 Evaluate (-4)/(-7)*((-7175)/(-650))/41. 2/13 Calculate ((-40)/20)/(8/(-24)*(-12)/(-22)). 11 What is 198/99*2/(-340)*5? -1/17 Calculate (-3176)/(-35730)*(-30)/(-4). 2/3 What is the value of 2/(-4)*(-240)/(-150)*(-15)/(-2)? -6 Evaluate 9/((-1)/(-2)*153/102). 12 Calculate ((-25)/(-20))/(11/(-528)*6). -10 What is ((-7)/(-91))/(((-80)/10)/16)? -2/13 (-11)/(528/(-504))*8/4 21 Evaluate ((-26)/(-325)*-10)/4. -1/5 ((6/18*6)/(152/(-8)))/1 -2/19 Evaluate 4/34*7871/(-3241). -2/7 Evaluate (-11)/2*780/(-7865). 6/11 (((-88)/(-168))/11*3)/(2/2) 1/7 (3/4)/((28188/(-32))/87) -2/27 What is the value of -2*((-2)/(-4))/((-1690)/260)? 2/13 What is the value of ((-3)/(-8))/(140/4480)? 12 What is 10/((3/(-126))/(24/360))? -28 What is the value of ((-4)/5)/(2988/130725)? -35 ((308/110)/7)/((48/(-5))/(-3)) 1/8 Calculate ((-165)/550)/((-6)/64). 16/5 What is the value of 16/(-28)*13/104*4? -2/7 Evaluate ((-112)/(-10))/((-528)/(-1320)). 28 (301/903)/((-34)/(-12)) 2/17 What is (3/2)/(6*15/(-36))? -3/5 What is the value of 84/315*15/(-8)*(-44)/33? 2/3 Calculate ((-168)/560)/(6/(-40)). 2 Calculate (-3)/((-7*(-16)/280)/(3/(-15))). 3/2 Calculate -1*((-75)/(-675))/(4/126). -7/2 What is the value of 399/114*(-64)/56? -4 Evaluate (295/(-59))/(((-35)/(-6))/(-7)). 6 (-312)/16*160/(-416)*-4 -30 What is the value of (((-24)/(-7))/4)/(364/(-6370))? -15 What is the value of (-25)/(-100)*20*2/2? 5 Evaluate ((-2520)/540)/(((-20)/9)/(-5))*-2. 21 Calculate (((-69)/(-115))/(14/(-10)))/(3/(-2)). 2/7 Calculate ((-1235)/494)/((-5)/12). 6 Calculate (-1*(-1)/(-33))/((-327)/(-1962)). -2/11 2/(-3)*15/25 -2/5 Calculate (12/32)/((-645)/(-1032)). 3/5 Calculate -78*(-7)/14*(-19)/57. -13 What is the value of (-13)/(650/175)*(-3)/(-7)? -3/2 Calculate (-1)/(-2)*400/(-120)*(-18)/(-15). -2 Evaluate ((-48)/80)/((-42)/(-15)). -3/14 What is 165/100*58/319? 3/10 (-13)/((-156)/18)*7/(315/6) 1/5 (-4)/(-5)*22/(-22)*5/(-6) 2/3 What is (28/560)/((1/(-1))/4)? -1/5 Calculate ((-17)/(1122/336))/(11*40/(-2420)). 28 What is the value of -8*(-76)/(-3192)*3/(-2)? 2/7 What is the value of (-32)/24*(-255)/(-68)? -5 What is -2*((-4)/(-8))/((-7)/70)? 10 Evaluate ((-28)/(-35))/(2*7/(-35)). -2 Evaluate (7/((-1050)/(-40)))/((-52)/(-39)). 1/5 What is the value of ((-46)/(-2))/(((-924)/28)/33)? -23 (((36/15)/2)/2)/(28/(-700)) -15 Calculate 3/((-96)/232)*5*56/70. -29 ((50/(-4))/5)/(-2)*(-1192)/298 -5 What is ((5/(-159))/((-64)/(-192)))/(20/(-8))? 2/53 What is the value of 195/(-572)*((-8)/(-3))/1? -10/11 Calculate 56/(-4)*((-2)/14)/(10/10). 2 What is (4*75/240)/((4/1)/(-16))? -5 Evaluate ((-162)/(-60))/(84/(-35)). -9/8 What is the value of ((-279)/1023)/((84/(-8))/(-7))? -2/11 What is the value of ((-1196)/2093)/(3*4/(-378))? 18 (21/(-13020)*-8)/((-1)/(-5)*1) 2/31 What is ((-4)/3)/(26/39)? -2 2232/(899/29)*1/4 18 Evaluate (-1)/(-30)*21984/(-12824). -2/35 What is ((-42)/21)/((-46)/(-299))? -13 Evaluate ((-10)/66)/((-1)/((-15)/(-25))). 1/11 What is the value of (15/85)/((-2)/(((-20)/30)/(-1)))? -1/17 Calculate (28/98)/((-8)/14)*(-114)/(-247). -3/13 (-1)/2*(192/(-18))/(-16)*3 -1 Calculate 528/(-308)*(-56)/(-6). -16 Evaluate ((-63)/9)/(7/(-7)*-6). -7/6 Calculate (12/4*4)/((-728)/52). -6/7 Evaluate (-10)/((4/(-8))/((-8)/40)). -4 (((-60)/(-6))/130)/(4/(-2*4)) -2/13 Evaluate 33/(-66)*(14/(-756))/((-2)/(-8)). 1/27 Calculate (-5)/(-14)*29/((-5800)/32). -2/35 -38*2/(-4)*(-2)/((-36)/18) 19 Evaluate 24/48*5/20. 1/8 What is the value of ((-11)/(-3))/((-1342)/(-1464))? 4 Evaluate (-3)/(-3)*3*(-5)/(-75)*95. 19 What is 1/(((-40)/(-2))/120)? 6 Evaluate (((-780)/108)/13)/(5/(-8)). 8/9 What is 10*(-17)/(-595)*56? 16 Calculate (8/((-4)/1))/((-15)/2295*9). 34 (-1)/(-10)*-2*5/50*-5 1/10 What is the value of 795/(-530)*-1*4/(-123)? -2/41 Calculate 124/(-2046)*1*-2*3. 4/11 What is the value of (-11)/(-11)*2*15/130? 3/13 Calculate (23*(-12)/(-5520))/(-3*(-2)/24). 1/5 What is the value of 7/9*634/(-2219)? -2/9 Evaluate 30/(-4)*(-39)/((-9165)/188). -6 Evaluate (-3*(-1)/5)/((-111)/1110). -6 What is 1/(-1)*16/(-1200)*-15? -1/5 ((-2)/(-2))/((-49)/(-7))*-16 -16/7 Evaluate (3*4/(-12))/(9/(-1)). 1/9 Calculate (95/190)/(13/(-2)). -1/13 Evaluate ((-8)/12)/(200/(-300)). 1 Calculate ((-48)/2)/2*(-5277)/(-15831). -4 What is the value of ((-3)/(90/8))/((-1386)/495)? 2/21 Evaluate (-6)/18*12/(-17). 4/17 Evaluate (3/(-12))/(4/96). -6 What is the value of (3/(-258))/((-9)/(-432)*12)? -2/43 756/1323*21/5 12/5 Evaluate ((9/(-16))/((-3)/4))/((-36)/8). -1/6 (-32)/40*2185/92 -19 What is the value of 1/(135/(-162)*3/5)? -2 Calculate (-10)/20*(-4)/11. 2/11 What is the value of (50/(-5))/(-2)*6/60*-4? -2 Calculate 16/(-12)*3*5675/908. -25 ((-18)/3)/(((-1)/(-1))/((-44)/(-66))) -4 Calculate 16*(-64)/(-112)*(-98)/(-224). 4 What is 39/9*90/(-78975)*-27? 2/15 Evaluate (447/(-596))/(45/(-48)). 4/5 Calculate (-6860)/(-245)*1/(-4). -7 What is (((-26)/3)/(180/54))/(24/120)? -13 Evaluate (1/(-3))/((-5)/(-135)). -9 Calculate (8/(-426))/((-84)/2898*-23). -2/71 Evaluate (2/10*(-20)/9)/((-4)/6). 2/3 What is the value of (24/504*7)/(((-9)/(-3))/(-18))? -2 What is the value of 5/(5*19/(-190))? -10 Evaluate (((-28)/(-36))/7)/(-1*(-15)/9). 1/15 (308/(-21)*3/(-4))/(8/16) 22 What is -18*(-34)/(-459)*(-36)/3? 16 Evaluate 73692/(-16020)*(-1)/(-1). -23/5 Evaluate (((-57)/(-6))/1)/(4*29/(-232)). -19 What is the value of 5/(-11)*(10584/135)/49? -8/11 What is the value of (6/(-4))/(-3)*(0/(-27))/6? 0 Calculate 2/(-2)*(-37)/(-703). -1/19 Evaluate (32/(-168))/((-120)/(-280)). -4/9 Evaluate (((-3024)/54)/280)/((-3)/270). 18 Evaluate 2*(6/8)/((-27)/234). -13 Evaluate ((-21)/70)/(60/(-400)). 2 Calculate (144/108)/((-20)/48). -16/5 What is the value of (14/4)/(3/4)*(-2070)/805? -12 Calculate (((-1620)/(-24))/(-15))/((-2)/(-12)*3). -9 Evaluate (-3)/((132/18)/22). -9 Evaluate 8/3*(-93)/(-217). 8/7 Evaluate (-18)/4*3048/(-1143). 12 What is ((-2)/(-18)*27)/(-1)? -3 Calculate (-5*16/(-100))/((-14)/5). -2/7 What is the value of (-42)/(-77)*(272/16)/(-51)? -2/11 -2*(-6)/(-21)*3/(66/7) -2/11 What is (32/400)/((8/20)/(-1))? -1/5 What is ((-2)/1)/2*217*35/(-245)? 31 Evaluate (8*132/(-24))/(8/(-2)). 11 ((100/(-25))/12)/(((-1)/(-30))/(-1)) 10 (10/22)/(11670/(-1556)) -2/33 (-20)/8*15*10*4/100 -15 What is ((-2)/9)/((-3250)/1170)? 2/25 155/310*(-6)/(-5)*5 3 What is the
{ "pile_set_name": "DM Mathematics" }
**3 + u**2 + 3*u + 4. Let b(o) = 24*o**4 - 57*o**3 + 9*o**2 + 24*o + 33. Let r(s) = 4*b(s) - 33*x(s). What is q in r(q) = 0? -1, 0, 1 Let c(m) be the first derivative of 1/13*m**2 + 0*m**3 + 0*m**5 + 1/39*m**6 + 2 + 0*m - 1/13*m**4. Find f, given that c(f) = 0. -1, 0, 1 Factor 0*q + 4/9*q**2 - 16/9. 4*(q - 2)*(q + 2)/9 Let b(d) = -25*d**4 - 10*d**3 - 20*d - 20. Let n(j) = j**4 + j**3 + j + 1. Let w(v) = -b(v) - 20*n(v). Suppose w(a) = 0. Calculate a. 0, 2 Let q(k) be the second derivative of -3*k**7/7 - 16*k**6/15 + 2*k**5/5 - 3*k. What is p in q(p) = 0? -2, 0, 2/9 Suppose 2/19*k**2 + 44/19*k + 242/19 = 0. What is k? -11 Let h(k) = 2*k**2 - 2*k + 3. Let j be 1/(1*(-1)/10). Let o(n) = -6*n**2 + 6*n - 10. Let d(t) = j*h(t) - 3*o(t). Factor d(p). -2*p*(p - 1) Suppose -49 = 4*v - x - 0*x, -2*v + 5*x - 47 = 0. Let i = v - -18. Solve -f**3 + i*f - 7*f = 0 for f. 0 Let s(y) = -5*y + 2. Let j be s(0). What is t in 0 + 2/5*t**3 + 0*t**j + 0*t = 0? 0 Suppose 3 - 81*f**3 + 94*f**3 - 3 + 20*f**4 + 2*f**2 = 0. Calculate f. -2/5, -1/4, 0 Let n(j) be the first derivative of -j**3 + 9*j**2/2 - 6*j - 3. Determine v so that n(v) = 0. 1, 2 Let g = 1820/9 - 202. Factor -2/3*j + g*j**2 + 4/9. 2*(j - 2)*(j - 1)/9 Let s(x) be the second derivative of x**7/42 - 7*x**6/30 + 9*x**5/10 - 5*x**4/3 + 4*x**3/3 - 7*x. Factor s(f). f*(f - 2)**3*(f - 1) Let d = -2/189 - -23/189. Let u(l) be the first derivative of 0*l - 2 - d*l**2 - 2/27*l**3. Factor u(j). -2*j*(j + 1)/9 Let x(m) = m**3 + 9*m**2 + 2*m + 20. Let o be x(-9). Factor -4/7*z - 2/7*z**o + 0. -2*z*(z + 2)/7 Factor 3/2*f**2 - 3/2 + 3/4*f - 3/4*f**3. -3*(f - 2)*(f - 1)*(f + 1)/4 Let m be 4*-8*12/(-128). Factor -2/5*a**2 + 2/5 - 2/5*a**m + 2/5*a. -2*(a - 1)*(a + 1)**2/5 Let r be (-22)/12 + (-1)/(-3). Let w = r + 2. Factor 1/2*y**2 + w*y - 1/2 - 1/2*y**3. -(y - 1)**2*(y + 1)/2 Let i be (-48)/(-32)*(-12)/(-2). Let g be ((-3)/i)/(10/(-84)). Factor 2*x**2 + 6/5*x**4 + g*x**3 + 2/5*x + 0. 2*x*(x + 1)**2*(3*x + 1)/5 Factor -2*b + 4 + b + 4*b**2 - 7*b. 4*(b - 1)**2 Let o(p) = 3*p - 1. Let r be o(1). Let f be 6/r + (-3 - -3). Factor 8*u**3 - 2*u - 4*u**3 - 2*u**f - 4 + 4*u**2. 2*(u - 1)*(u + 1)*(u + 2) Let b(i) = -i**3 - i**2 + 3*i + 5. Let y be b(-2). Factor -2/3*f**y + 5/6*f**2 + 0 + 1/6*f**4 - 1/3*f. f*(f - 2)*(f - 1)**2/6 Let r(b) be the second derivative of b**4/9 - 2*b**3/9 + 9*b. Determine d so that r(d) = 0. 0, 1 Factor 11*f**2 - 23*f**2 - 2 + f + 13*f**2. (f - 1)*(f + 2) Let f(k) = -16*k**2 + 16*k - 4. Let b(j) = -j**3 - 17*j**2 + 17*j - 4. Let d(h) = -4*b(h) + 5*f(h). Factor d(r). 4*(r - 1)**3 Let z(l) be the first derivative of -l**3/6 - 3*l**2/4 + 5*l - 31. Factor z(d). -(d - 2)*(d + 5)/2 Factor -s - 2*s**2 - 3*s**3 - 2 - 3*s + 5*s + 6*s**2. -(s - 1)**2*(3*s + 2) Find l, given that l**3 + 8/5*l**2 + 0 + 4/5*l + 1/5*l**4 = 0. -2, -1, 0 Let v(u) = -u**4 + u**2. Let o(m) be the second derivative of 2*m**6/15 - m**4/4 + 3*m. Let n(c) = -o(c) - 3*v(c). Solve n(t) = 0. 0 Let n(c) be the first derivative of -c**3/9 + c**2/6 + 2. Solve n(j) = 0. 0, 1 Factor -1/4*y**4 + 1/2*y**2 + 0*y**3 + 0*y - 1/4. -(y - 1)**2*(y + 1)**2/4 Let o(b) = -5*b**4 - 4*b**3 + 6*b**2 + 4*b - 7. Let p(s) = -4*s**4 - 3*s**3 + 5*s**2 + 3*s - 6. Let j(k) = 5*o(k) - 6*p(k). Factor j(m). -(m - 1)*(m + 1)**3 Let u(v) be the first derivative of 2*v**4/21 + v**3/3 + 3*v**2/7 - 6*v - 7. Let a(g) be the first derivative of u(g). Factor a(o). 2*(o + 1)*(4*o + 3)/7 Suppose -6 = 3*n - 18. Suppose 4*b + 8 = -2*l, l - 3*l + 2*b + n = 0. Let l*m + 2/3*m**3 + 0*m**2 + 0 = 0. What is m? 0 Suppose -2*p - 6 = -2*y - 4*p, -3*y - 2*p + 6 = 0. Let q be (-3)/12*2*y. Factor -2/5*n**4 + 4/5*n**2 + 0*n**3 - 2/5 + q*n. -2*(n - 1)**2*(n + 1)**2/5 Factor 4/3 + 11/3*a**2 + 8*a. (a + 2)*(11*a + 2)/3 Let c = 5 - 2. Factor -3*q**4 - 5*q**3 + 3*q**5 + q**3 + 2*q**c + 3*q**2 - q**3. 3*q**2*(q - 1)**2*(q + 1) Let o(q) be the third derivative of 7*q**8/60 - 2*q**7/3 + 793*q**6/600 - 199*q**5/150 + 23*q**4/30 - 4*q**3/15 - 4*q**2. Solve o(y) = 0 for y. 2/7, 1/2, 2 Let h(q) be the first derivative of -q**6/240 + q**5/60 + q**4/48 - q**3/6 + q**2 + 8. Let d(o) be the second derivative of h(o). Factor d(l). -(l - 2)*(l - 1)*(l + 1)/2 Let k(b) be the second derivative of 0*b**2 + 0*b**3 + 1/30*b**5 + 0 + 1/9*b**4 - 1/63*b**7 + b - 2/45*b**6. Solve k(w) = 0 for w. -2, -1, 0, 1 Let a(g) be the third derivative of 0 - 6*g**2 - 2/9*g**3 + 1/12*g**4 + 0*g + 0*g**5 - 1/180*g**6. Suppose a(o) = 0. What is o? -2, 1 Suppose -7*l + 2*l = -5. Let w be 2/l*6/4. Factor -1 - 2 + 5 + w*j**2 + 3*j - 2*j**2. (j + 1)*(j + 2) Let f(a) = -8*a**4 - 4*a**2 - 4*a - 4. Let m(i) = 7*i**4 + i**3 + 3*i**2 + 3*i + 3. Let t(s) = -3*f(s) - 4*m(s). Determine u so that t(u) = 0. -1, 0 Let t(d) = -d**2 - 7*d - 9. Let j be t(-6). Let r be j/(-108) + 6/27. Determine f so that r*f**2 + 1/2*f + 0 = 0. -2, 0 Solve 3/2*h + 3/2*h**2 + 0 = 0. -1, 0 Factor -5/3*t**2 + 0*t + 0. -5*t**2/3 Let x(p) = 7*p - 35. Let u be x(5). Let s(h) be the third derivative of u*h**5 - 1/21*h**7 + 0*h**4 + 0*h**3 - 1/30*h**6 + 4*h**2 + 0*h + 0. Factor s(w). -2*w**3*(5*w + 2) Suppose -4*g = 3*g - 21. Factor 0*k + 0*k**2 + 0*k**g + 0 + 2/3*k**4 - 2/3*k**5. -2*k**4*(k - 1)/3 Let f be (-16)/((280/12)/(-5)). Let -f*r**3 + 18/7*r**2 + 10/7*r**4 - 4/7*r + 0 = 0. What is r? 0, 2/5, 1 Let l(r) = -r**2 + 91*r + 301. Let s(g) = -45*g - 150. Let i(y) = 3*l(y) + 7*s(y). Determine c, given that i(c) = 0. -7 Let n(a) be the second derivative of 3*a**5/100 + a**4/10 - a**3/10 - 3*a**2/5 + 5*a. Determine t so that n(t) = 0. -2, -1, 1 Let -6/17*n**4 + 0 + 0*n**2 + 4/17*n**3 + 2/17*n**5 + 0*n = 0. Calculate n. 0, 1, 2 Let w(x) be the second derivative of 7*x**5/5 + 2*x**4/3 - 14*x**3/3 - 4*x**2 - 5*x. Let w(k) = 0. What is k? -1, -2/7, 1 Let z(l) = 6*l**4 - 2*l**3 + 3*l**2 - 4*l - 5. Let a(p) = 5*p**4 - p**3 + 3*p**2 - 3*p - 4. Let c(u) = 5*a(u) - 4*z(u). Determine x so that c(x) = 0. -1, 0 Let y(u) be the first derivative of 10/3*u**3 + u + u**5 - 5/2*u**4 - 5/2*u**2 + 2 - 1/6*u**6. What is n in y(n) = 0? 1 Let r(x) = -14*x - 96. Let f be r(-7). Let q = -2390/13 + 184. Factor 0*h + 2/13*h**f - q. 2*(h - 1)*(h + 1)/13 Let g(y) be the third derivative of -1/180*y**6 + 0 + 0*y**5 + 0*y - 4*y**2 + 0*y**3 + 0*y**4 + 0*y**7 + 1/504*y**8. Suppose g(d) = 0. Calculate d. -1, 0, 1 Let r = -17 - 1. Let x be ((-6)/20)/(r/15). Factor x*i + 1/4*i**3 + 0 - 1/2*i**2. i*(i - 1)**2/4 Let x be (-4)/18 + (-34)/(-72). Suppose 0 = 7*c - 25 + 4. Factor -1/4*q**c - x*q**2 + 0*q + 0. -q**2*(q + 1)/4 Factor -1/4*f**2 + 0*f + 0. -f**2/4 Let c(l) = l**2 - 5*l - 1. Let v(n) = -3*n. Let y(g) = 3*c(g) - 5*v(g). What is d in y(d) = 0? -1, 1 Factor -4/5*j**3 + 28/5*j - 16/5 - 8/5*j**2. -4*(j - 1)**2*(j + 4)/5 Let u be 8/(-6)*(-9)/6. Let g be u + (0 - 0)/(-1). Factor -2*v**2 + 4 - 2 + v**3 - g*v + v**3. 2*(v - 1)**2*(v + 1) Let g(l) be the first derivative of 2*l**5/75 - 2*l**3/45 - 7. Factor g(s). 2*s**2*(s - 1)*(s + 1)/15 Suppose -4*g**3 - 2*g - g**4 - 3*g**2 - g**2 + 2*g = 0. Calculate g. -2, 0 Let m be 1/(-2*3/12). Let p = 0 - m. Solve 6*l**2 - 5*l**2 + 1 - p = 0 for l. -1, 1 Let r be (1 + -2 - -1)/2. Suppose -5*i + 0*i = r. What is k in i*k + 5*k**5 - 4*k**5 + k - 2*k**3 = 0? -1, 0, 1 Let m(j) be the third derivative of j**6/300 - j**5/30 - 13*j**4/60 - 7*j**3/15 - 24*j**2. Determine r, given that m(r) = 0. -1, 7 Determine w, given that 28/11*w + 2/11*w**2 + 98/11 = 0. -7 Factor -34*s + s**2 + 8 + 3*s**2 - 26. 2*(s - 9)*(2*s + 1) Let d(r) be the first derivative of 5 - 1/4*r**4 - 9/2*r**2 + 0*r - 2*r**3. Factor d(u). -u*(u + 3)**2 Let i be 9/30 + (-351)/(-1430). Let -6/11*b + 4/11*b**2 + 4/11*b**3 + 2/11 - i*b**4 + 2/11*b**5 = 0. Calculate b. -1, 1 Let y(q) be the second derivative of -q**7/280 - q**6/120 + q**5/40 + q**4/8 + q**3/3 - 3*q. Let a(v) be the second derivative of y(v). Factor a(f). -3*(f - 1)*(f + 1)**2 Let i(p) be the third derivative of p**5/180 - p**4/18 + 2*p**3/9 - 10*p**2. Find k, given that i(k) = 0. 2 Let d(b) be the second derivative of -1/16*b**4 + 7*b + 0 - 1/2*b**2 - 1/3*b**3. Factor d(c). -(c + 2)*(3*c + 2)/4 Factor 0 + 1/2*d**5 - 3/2*d**3 + 0*d - d**2 + 0*d**4. d**2*(d - 2)*(d + 1)**2/2 Let a(t) be the third derivative of -2/3*t**3 + 1/20*t**6 + 1/105*t**7 + 0*t +
{ "pile_set_name": "DM Mathematics" }
(-9). Solve 2*r = 2*u, v*r - 2*u - 2 = 1 for r. 3 Let s = 95 + -93. Solve -v - 3*o = s - 5, o - 14 = 4*v for v. -3 Suppose -c - 140 = 2*f - 145, 5*f = 3*c + 40. Suppose 9 + 6 = 3*g. Suppose -21 = g*k - 121. Solve -k = -4*u + 3*o, -3*u - 15 = -6*u + f*o for u. 5 Suppose 30*t - 25*t = 25. Let k be 5 + 1 + 2/(-2). Suppose t*c = 4*s + 35, 0*c - k*s = -2*c + 31. Solve -3 = 3*u - 3*z, 3*u - 4*z + 7 = c for u. 0 Suppose x + 0*x - 4 = 0. Solve -3*n - 14 = -2*g, 0 = -g + x*n + 8 + 4 for g. 4 Let f = 124 - 119. Solve -f = -3*v + 4*b, 0 = b - 6*b - 10 for v. -1 Suppose -15 = 5*q - 5. Let c be (-3)/2*q/3. Suppose 0 = -5*m + 21 - c. Solve -i - 19 = m*i - t, 0 = 5*i + 2*t + 22 for i. -4 Suppose 7*l = 2*l + 35. Let a be (-5 - -2) + 1*l. Let t be 2/a*0/1. Solve 3*c + 12 = 5*z + 52, -3*z - 2*c - 5 = t for z. -5 Suppose a + 20 = 4*s, 0 = -6*a + 3*a + 5*s - 25. Solve a = 4*u - 2*v + 6, 2*u - 4*v + 6*v = 0 for u. -1 Let z be 12/(-54) + (-43)/9. Let x = z - -8. Solve 3*q + 5 = -5*w, 28 = -2*w + x*q + q for w. -4 Suppose -32 = -8*p + 4*p. Suppose -5*d + 4*v + 0 = -2, 4*v - p = 0. Solve 10 = 2*m - 2*q, -d*m - q = -5*m + 7 for m. 1 Let j = -188 - -191. Let s be (-1)/(5/(-2) - -2). Suppose 0 = -s*a + 61 - 19. Solve -j*t - a = 3*f + 2*t, 8 = 2*f - 4*t for f. -2 Let j be 1320/627 - (-1 - (-21)/19). Solve 0*a - j*a - n = -9, 4*a = 4*n + 12 for a. 4 Suppose -5*f + 7 + 13 = 0. Let q(c) = c**3 + 10*c**2 - 10*c - 16. Let d be q(-11). Let m = d - -28. Solve -3*n = -f*i - 5, -3*n + 2*n + 4*i = m for n. 3 Suppose -15 = 2*p - 5*p. Let v(k) = k + 3*k - 5*k - p. Let f be v(-5). Solve -10 = -o + 4*b + 11, -o + b + 9 = f for o. 5 Let q be 96/(-120) + 2/(-10). Let z be (3*(-16)/12)/q. Solve -20 = -5*v - b + z, 0 = 5*v - 3*b - 28 for v. 5 Suppose -11*a + 8 = -3*a. Solve -3*i - 2*r = 20, -3*i + 4*r - a + 5 = 0 for i. -4 Let k = -1159 + 1161. Solve k*u - 2*f - 2 = 0, 10 + 1 = u - 3*f for u. -4 Suppose -4*b = 2 - 14, -2*b = -2*d. Let f(x) = -x**2 + 2*x + 4. Let v be f(d). Let a = 10 + -5. Solve v - 29 = -5*c - p, 5*p + a = 4*c for c. 5 Suppose -32*j - 21 = -39*j. Suppose -j*d + 5*r + 48 - 7 = 0, -34 = -3*d - 2*r. Solve w = 5*p + 2*w + 13, 4*w = -d for p. -2 Suppose 5*p = -3*f + 111, 4*p - p = 3*f + 57. Suppose 0 = -3*c + p - 6. Suppose -7*k = -4*k - 39. Solve 2*a - 3*n = k, 5*n + c = -0*n for a. 5 Suppose 0 = -9*w + 28 + 8. Solve 0 = 2*z - 2*i + w, -z + 3*z = 3*i - 6 for z. 0 Let s = 30 + -26. Suppose p + 9*n - s*n = 28, 3*n = 15. Solve 3*w - 3*r = -0*r - 27, p*w + 5*r - 5 = 0 for w. -5 Suppose 3*d - 9*d = 60. Let v be (-125)/d - 2/4. Suppose v = -4*n - 4, s - n - 7 = 0. Solve u = 2*u - q + s, 1 = q for u. -2 Suppose -8 = -2*w - 2*z, 0 = w + 2*w + z - 4. Let v be (w + -3)*38/57. Let m = 6 + v. Solve j + 3*b = 4*b - 1, 20 = m*b for j. 4 Suppose 26 = -3*v + 38. Solve v*q - 16 = 0, -q - 5 + 3 = -2*p for p. 3 Suppose 0*h + 8 = h. Suppose -2*j + h = 2. Suppose -5*b + 28 = j. Solve -2*o + 2*p = 14, o + 0*o + 3*p = b for o. -4 Suppose 5*r = -h + 63, 3*h - 7*h + 347 = r. Let o be (-6)/33 + 4/(h/114). Solve o*a + 30 = 4*y, 4*a - 17 + 5 = -4*y for y. 5 Let q be 3*(-2296)/105 - (-4)/(-10). Let x = q - -71. Solve -x*i + 10 - 46 = -4*j, -4*j = 4*i for i. -4 Let z(c) = 2*c**3 + 15*c**2 + 5*c - 9. Let t be z(-7). Let f be 280/105*(-1 + t/2). Solve -5*v + 4*g = 15, 0*v + 2*v = -f*g + 22 for v. 1 Let j = 7 - 4. Let d be 357/33 - (-6)/33. Let x = d + -6. Solve -2*m - x*z - 15 = -7*m, 19 = 5*m - j*z for m. 5 Let d = 62 + -93. Let q = -29 - d. Solve 25 = 5*g - 3*u, q*u + 10 = -0*u for g. 2 Suppose 38*j - 45*j + 14 = 0. Solve v - 2*a = 4, -j*a - 2*a - 12 = 0 for v. -2 Let z be ((12 + 3)*4/(-6))/1. Let u be (8/(-6))/(z/15). Solve 8 = 4*a + n, -5 = 3*a - 2*a + u*n for a. 3 Let q(f) = -f**2 - 26*f + 13. Let o be q(-25). Let v = o - 33. Solve -d = i - 5, -4*d + 3 = -v for i. 3 Let q be (0 + -1)/((-4)/60). Suppose 5*s - 4*w = -w + q, w - 12 = -4*s. Solve -6*t - 10 = -2*t + 2*j, t - 5*j = s for t. -2 Let x(o) = 2*o**3 - 3*o**2 + o. Let y be x(1). Suppose y = l - 6*l + 25. Let s be 8/5 - (-2)/5. Solve l*b - s*a - 5 = 0, 5*a - 40 + 15 = 0 for b. 3 Suppose -63*x + 89*x - 260 = 0. Solve 4*t = 3*v + 32, 4*t = -2*v + 2 + x for t. 5 Suppose 4*r - 179 = 5*p, 2*r + 3*p - 117 = -0*p. Suppose -3*w = -9 - r. Solve -4*x = w, 5*l = -3*x - 2*x - 30 for l. -1 Let g = -1 - 15. Let u = g - -21. Solve -5 = u*q, 0 = -s + 4*q + q + 4 for s. -1 Let d be 4/(-86) - 5642/(-1118). Solve -4*x = -x - 5*b + 1, 4*x = 3*b - d for x. -2 Let d(n) = 3*n**2 - 4*n. Let b be d(4). Let j = b + -29. Let v be (-2)/(2/(-3 + 1)). Solve g = -j*g - v*k + 12, -g + 13 = 3*k for g. 1 Let a(r) = -r**3 - 4*r**2 + 4*r - 5. Let v be a(-5). Suppose -o - 4*o = v. Suppose g - 2*g + 10 = o. Solve 2*f - 5*n + 4 = 2, g = 2*f + n for f. 4 Let u(d) = -6*d - 30. Let j(q) = -q - 1. Let s(o) = 4*j(o) - u(o). Let v be s(-13). Solve 4*b - 2*c = -7*c + 15, v = b + c - 4 for b. 5 Let f = 160 - 158. Solve p - 9 = -f*p, 4*z = p + 1 for z. 1 Let v = 27 + -20. Let w = 7 - v. Let z = w - -15. Solve -3*b - z = -3*y - 0, 4*y = -4*b - 20 for y. 0 Suppose -4*f + 3*u = -29, -4*f + 0*u = -4*u - 32. Suppose -v - 3*w = -0*w - 10, 5*w - 30 = -f*v. Solve 12 = -v*o, 5*j + 0*o - 34 = 3*o for j. 5 Let i(b) = b**2 + 14*b + 4. Let z be i(-14). Suppose -z = d + 1. Let p = d - -10. Solve p*o - 4*f - 18 = -2*f, 0 = -4*o + 4*f + 12 for o. 4 Suppose -3*a - 69 = -d + 70, -d + 47 = -a. Let f = 55 + a. Solve 3*c + 3*v + 0*v = -f, -5*c = -3*v - 25 for c. 2 Let u(i) = 2*i**2 - 23*i + 9. Let t be u(11). Let f be (-26)/(-91)*(t - -9). Solve 3*w - 12 = -o, w = 2*o - f*w + 3 for o. 3 Let d be 4/6 - 80/12. Let o be (0 + -8)/(4/d). Solve -t + o = 3*v, 0 = t + 2*v - 2 - 5 for t. -3 Let c be 2*2/(-8)*-6. Suppose 0*z = c*m - 5*z - 16, -4*m = 4*z. Solve -4*j + 12 = -3*i, j + i - m = 1 for j. 3 Let y(w) = 5*w - 1. Let m be y(1). Let b = 46 - 39. Suppose m*a = 3*t, -t + 2*t = -a + b. Solve -2*l = q + a, 3*l + 6 + 26 = 4*q for l. -4 Suppose v = 2*u + 6, 5*v = 10*v - u - 12. Solve -v*n + 19 = 4*z + 7, -9 = -3*z for n. 0 Let l(k) = -2*k**3 + 5*k**2 + k - 3. Let n be l(2). Solve -22 = 4*a - n*y, 3*a + 2*y + 14 = 6 for a. -4 Let z(x) = 7*x + 8*x**2 - 2 + 4*x**2 - 10*x**2. Let u be z(-4). Solve 4*v - 8 = 2*b, -2*v - 4*b = -u*b + 8 for v. 0 Suppose 4*h - 6 = 2*w, -h + 5*w + 8 = 2. Let y(o) = o**2 + 3*o - 2. Let n be y(-4). Let u = h + n. Solve 2*z = -u*r - 0*z + 15, -5*r + 4*z + 25 = 0 for r. 5 Let t be (1/(-3))/(1/(-12)). Suppose -15 = 5*d, -f + 37 = 5*d + 50. Solve m + t + 0 = b, 0 = 5*b + f*m - 20 for b. 4 Suppose 1586*m - 15 = 1583*m. Solve -5*k = m*v + 5, v + 7 = -0*v + k for v. -4 Let h = -44 + 62. Suppose -15*b = -57 - h. Solve -4*x = -2*l - 9*x - 15, -12 = -b*l + 4*x for l. 0 Let i(v) = 3*v**2 + 7. Let o be i(0). Let y be 2 + 0/(-3 - -2). Solve -3*z = 5*k - 20, z - y*k + o*k - 10 = 0 for z. 5 Let n be (-3 + 44/11)*3. Solve -n*a = 2*w + 25, -w - 3*w = a + 25 for a. -5 Suppose -25 - 21 = -2*x. Suppose -3*y + 5*y + x = h, -3*y = 9. Suppose 4*l = l. Solve 3*u + 6*p = 4*p + 7, -2*u + 3*p - h = l for u. -1 Let u(v) = v**3 + v**2 + 2*v + 3. Let a be u(0). Suppose 15 - 3 = a*r. Let i be (24/20)/((6/40)/1). Solve 5*l + i = -r*t - 9, l - t + 7 = 0 for l. -5 Suppose 39*o = 34*o + 10. Let u(i) = -2*i. Let b be ((-6)/(-3) - 0)/(-1). Let g be u(b). Solve -v = 3*d + 9, 3*d + o*v + 8 = -g for d. -2 Suppose -2*n + 61 = 53. Let l(x) = 4*x**2 - 1. Let w be l(-1). Solve 3*o - 32 = -n*b, 8*o + 4*b - 40 = w*o for o. 4 Let d(x) = -x**3 + 6*x**2 - 3*x - 5. Let c be d(5). Solve 0 = 5*a - 5*m + 10, c*a - 4*m = -m - 16 for a. -5 Suppose -s - 5*h + 35 = -7*h, -2*h = -4*s + 146. Solve 0 = 5*l + 4*v - s, -5 = -2*l + 3*v - 4 for l. 5 Suppose 3*h + 29 - 32 = 0. Solve 41 = 5*q + 4*u, 2*q - 5*q = -4*u + h for q. 5 Suppose 3*u - 5*b = 2, -20 = -u - 5*b - 6. Solve u*i - 4*j + 3*j + 1 = 0, -4*j = 4*i - 4 for i. 0 Let m(p) be the second derivative of 0 + 3*p - 1/20*p**5 + p**3 + 1/4*p**4 - 5/2*p**2. Let c be m(4). Solve 4*f - 5 = d, 4*f - 20 = d + c*d for d. -5 Suppose -2*s + 4 + 2 = 0. Let w = -4 - -7. Suppose -21 = -w*a + 2*v - 9, -a + 4 = -s*v. Solve a*y - o + 6*o - 17 = 0, 5*o = 5 for y. 3 Let x = 23 - 5. Let d = 4 - 5. Let v be (-28)/(-6) - d/3. Solve j = -3*z - 3*j - 8, v*z + 2*j + x = 0 for z. -4 Suppose -4*f + 5*h = -35, -2*f - 11 = -5*h - 36.
{ "pile_set_name": "DM Mathematics" }
z: 7}. Give prob of picking 1 d, 1 z, and 1 x. 7/102 Calculate prob of picking 1 k and 1 e when two letters picked without replacement from keekeeekeeeeekeeeek. 70/171 Two letters picked without replacement from {a: 1, m: 1, s: 1, p: 1, f: 4, g: 5}. What is prob of picking 1 f and 1 p? 2/39 What is prob of picking 1 g and 2 z when three letters picked without replacement from {k: 1, g: 1, z: 12}? 33/182 What is prob of picking 2 u when two letters picked without replacement from tpulkeu? 1/21 Four letters picked without replacement from {g: 5, x: 2, p: 1, l: 1, z: 1}. What is prob of picking 1 x, 1 z, 1 g, and 1 p? 1/21 Calculate prob of picking 1 x, 1 w, and 1 c when three letters picked without replacement from wswwjxcwcwswcs. 9/182 What is prob of picking 2 b and 1 r when three letters picked without replacement from ssssbrsibt? 1/120 Two letters picked without replacement from {q: 7, a: 2}. Give prob of picking 2 q. 7/12 What is prob of picking 1 p and 1 q when two letters picked without replacement from {q: 3, e: 1, p: 1, d: 4, u: 2}? 3/55 Calculate prob of picking 1 f and 1 w when two letters picked without replacement from ygfysfgyggwg. 1/33 Three letters picked without replacement from {g: 4, s: 9, u: 1, a: 1, i: 1, y: 1}. What is prob of picking 1 i and 2 g? 3/340 What is prob of picking 2 t and 1 e when three letters picked without replacement from ttvttteteetett? 36/91 What is prob of picking 1 r and 3 o when four letters picked without replacement from {o: 11, r: 2}? 6/13 Calculate prob of picking 3 i and 1 w when four letters picked without replacement from {j: 1, y: 13, i: 3, w: 3}. 1/1615 What is prob of picking 1 l and 1 m when two letters picked without replacement from {l: 4, m: 5, z: 8}? 5/34 Three letters picked without replacement from nxqdqanaqyyy. Give prob of picking 3 q. 1/220 Four letters picked without replacement from dmmmdmddddddddddmddd. Give prob of picking 4 m. 1/969 Calculate prob of picking 1 g and 3 p when four letters picked without replacement from iizpyipipiyppgipp. 1/68 Three letters picked without replacement from {r: 2, c: 3}. What is prob of picking 3 c? 1/10 Calculate prob of picking 3 u and 1 b when four letters picked without replacement from {b: 1, o: 2, e: 4, c: 4, u: 5}. 1/182 Calculate prob of picking 2 a when two letters picked without replacement from {r: 4, v: 5, f: 5, a: 1}. 0 Calculate prob of picking 3 r when three letters picked without replacement from rzrrz. 1/10 Four letters picked without replacement from zyyzyzzyzzzy. Give prob of picking 1 z and 3 y. 14/99 Two letters picked without replacement from {c: 6, v: 1, k: 5, f: 2, b: 1, r: 5}. What is prob of picking 1 c and 1 v? 3/95 Calculate prob of picking 2 u when two letters picked without replacement from hiuhiehhhiuu. 1/22 What is prob of picking 2 f when two letters picked without replacement from {i: 2, w: 1, x: 6, a: 2, b: 1, f: 3}? 1/35 What is prob of picking 1 h, 1 l, and 1 m when three letters picked without replacement from {b: 5, h: 1, l: 1, p: 3, m: 1}? 1/165 What is prob of picking 1 h and 1 i when two letters picked without replacement from hhfhhxhxhifxhhih? 3/20 Four letters picked without replacement from zyyyzyzzzyzyyzyyzyzz. Give prob of picking 4 y. 14/323 Calculate prob of picking 2 d when two letters picked without replacement from {f: 7, d: 7}. 3/13 Calculate prob of picking 3 d when three letters picked without replacement from {d: 6, h: 4}. 1/6 What is prob of picking 2 v and 1 a when three letters picked without replacement from aavavaiaaaaavaa? 33/455 Two letters picked without replacement from hhahhhhhhahahhhh. Give prob of picking 2 h. 13/20 What is prob of picking 1 w and 1 c when two letters picked without replacement from waawawwacaawawa? 2/35 Calculate prob of picking 2 f when two letters picked without replacement from {f: 2, c: 1}. 1/3 What is prob of picking 1 q and 1 a when two letters picked without replacement from aabaqaqabqaba? 7/26 Two letters picked without replacement from {u: 1, t: 1, p: 1}. What is prob of picking 1 t and 1 p? 1/3 What is prob of picking 1 r and 1 z when two letters picked without replacement from {z: 2, l: 1, r: 2, i: 9}? 4/91 Two letters picked without replacement from jjx. What is prob of picking 1 x and 1 j? 2/3 Calculate prob of picking 3 o when three letters picked without replacement from ozuozzzuozuoz. 2/143 Calculate prob of picking 3 q when three letters picked without replacement from qqqqqzqqqqqqqqqqqq. 5/6 Two letters picked without replacement from yoeebdpb. What is prob of picking 2 e? 1/28 Four letters picked without replacement from {v: 5}. What is prob of picking 4 v? 1 Two letters picked without replacement from yty. Give prob of picking 2 y. 1/3 Four letters picked without replacement from qqllqlqlxl. What is prob of picking 4 q? 1/210 What is prob of picking 1 y and 2 t when three letters picked without replacement from {a: 1, j: 1, t: 2, y: 2}? 1/10 Four letters picked without replacement from {l: 2, f: 10}. Give prob of picking 4 f. 14/33 Calculate prob of picking 1 x and 1 n when two letters picked without replacement from xxn. 2/3 Two letters picked without replacement from ziozzoziiiioi. What is prob of picking 2 i? 5/26 Calculate prob of picking 1 j, 1 o, and 1 r when three letters picked without replacement from {o: 1, j: 3, r: 1, k: 1, n: 3, i: 2}. 1/55 What is prob of picking 3 d and 1 i when four letters picked without replacement from {d: 3, g: 1, q: 3, o: 1, i: 5}? 1/143 What is prob of picking 1 u, 1 r, and 2 h when four letters picked without replacement from rrrhhurqrrhr? 7/165 Two letters picked without replacement from {h: 2, w: 1, b: 1}. What is prob of picking 1 w and 1 h? 1/3 Two letters picked without replacement from {i: 1, a: 1, n: 1, l: 1, u: 1}. Give prob of picking 1 l and 1 u. 1/10 What is prob of picking 1 z and 1 p when two letters picked without replacement from zpzzzzzoz? 7/36 Four letters picked without replacement from vvvvfee. What is prob of picking 2 v, 1 e, and 1 f? 12/35 Calculate prob of picking 2 z, 1 n, and 1 o when four letters picked without replacement from {o: 2, n: 6, u: 1, z: 3}. 4/55 Three letters picked without replacement from sswsswwwsw. Give prob of picking 2 w and 1 s. 5/12 What is prob of picking 2 b and 1 q when three letters picked without replacement from {q: 2, b: 5}? 4/7 Two letters picked without replacement from emyyyyymyymmye. What is prob of picking 1 m and 1 y? 32/91 What is prob of picking 1 k and 2 i when three letters picked without replacement from {k: 7, i: 3}? 7/40 What is prob of picking 1 e and 1 x when two letters picked without replacement from {e: 1, g: 1, h: 2, x: 1, w: 4}? 1/36 What is prob of picking 1 t, 1 u, and 1 d when three letters picked without replacement from izuiuutuduzuiiuu? 1/70 What is prob of picking 1 d and 2 b when three letters picked without replacement from {a: 6, j: 2, d: 1, b: 2}? 1/165 Two letters picked without replacement from {r: 2, a: 1}. Give prob of picking 2 r. 1/3 Three letters picked without replacement from {n: 1, u: 3, z: 1, t: 5, w: 1}. Give prob of picking 1 w and 2 t. 2/33 Three letters picked without replacement from eeeeee. What is prob of picking 3 e? 1 Calculate prob of picking 1 j and 1 b when two letters picked without replacement from {b: 4, j: 13, x: 3}. 26/95 Two letters picked without replacement from olbxylybzzzoyz. What is prob of picking 1 l and 1 b? 4/91 Calculate prob of picking 2 o and 2 t when four letters picked without replacement from {b: 1, t: 2, s: 1, j: 1, o: 2}. 1/35 What is prob of picking 2 i and 2 l when four letters picked without replacement from {x: 3, t: 9, a: 1, k: 1, l: 2, i: 3}? 1/1292 Three letters picked without replacement from isfxy. What is prob of picking 1 s, 1 f, and 1 y? 1/10 What is prob of picking 1 s and 1 y when two letters picked without replacement from xxyxseesyxexsxxesxe? 8/171 Four letters picked without replacement from azeffefaefnezzfe. Give prob of picking 2 e and 2 f. 5/91 What is prob of picking 1 r and 2 b when three letters picked without replacement from bhrhmbh? 1/35 Three letters picked without replacement from {t: 6, x: 1, l: 4, v: 4, h: 1}. What is prob of picking 1 t and
{ "pile_set_name": "DM Mathematics" }
common divisor of t and 76. 19 Let k(z) = -2*z - 21. Let n(x) = 3*x + 43. Let l(h) = 5*k(h) + 3*n(h). Let f be l(0). What is the greatest common divisor of f and 12? 12 Let x = -84 - -186. Suppose 2*q - 3 = -3*m + 40, 0 = m + 5. Let s = q - 12. What is the greatest common divisor of x and s? 17 Let q(d) = -d**3 + 28*d**2 + 31*d - 16. Let u be q(29). Let t be 4/(-22) + (-1864)/(-88). What is the greatest common divisor of t and u? 21 Let k be (-14)/(-42) - 16/(-6). Suppose -k*y = 2 + 1, 3*f - 5*y + 1 = 0. Let u be (9 + -3)/(f/(-10)). What is the greatest common divisor of u and 90? 30 Suppose -2*h + 20 = 12. Suppose -4*z = -5*g - 319, h*g = 5*z + 7*g - 408. What is the greatest common factor of 27 and z? 27 Let w = -16 + 31. Let j(d) = 9*d + 10. Let c be j(8). Suppose 4*k - 363 = -5*l, -l - 2*k - 13 = -c. What is the greatest common factor of w and l? 15 Suppose -m - m - 4*s = -152, -356 = -5*m + 2*s. Suppose 0 = -4*b - 20 + 40. Suppose o = b*o - 32. What is the greatest common divisor of o and m? 8 Let r be 4*(-2)/(-24)*15. Suppose -3*m + r*q - 4*q = -29, 4*q = 3*m - 44. Calculate the highest common factor of 40 and m. 8 Suppose 0*k = -k + 99. Suppose -91 = -3*z + 4*b, b = -61*z + 60*z + 35. Calculate the highest common divisor of k and z. 33 Let b(t) = -t**3 + 7*t**2 - 3*t - 14. Let z be b(6). Let a be (-18)/z*100/(-10). Calculate the highest common divisor of 5 and a. 5 Let b(l) = -4*l**3 - 4*l**2 - 4*l - 7. Let x be b(-2). Calculate the greatest common divisor of 357 and x. 17 Let b = 64 - 34. Calculate the greatest common divisor of 80 and b. 10 Let h(t) = -4*t + 12. Let v(s) = -13*s + 36. Let u(x) = 7*h(x) - 2*v(x). Let k be u(-15). Calculate the greatest common divisor of 21 and k. 21 Let z(d) = -7*d + 14. Let q be z(1). What is the highest common divisor of 1988 and q? 7 Let o = -34 + 35. Let a be o/4 - 425/20. Let d = a + 25. Calculate the highest common factor of d and 20. 4 Suppose -5*z = 2*m - 185, 4*m - 5*z = 111 + 214. Calculate the greatest common factor of 765 and m. 85 Suppose -c - o - o + 4 = 0, c - 5*o - 4 = 0. Suppose c*p = -15 + 435. Calculate the highest common factor of p and 21. 21 Let f = -155 + 110. Let t be (-47)/(-3) - 15/f. What is the highest common divisor of 32 and t? 16 Let h be (4*3)/(-2)*-1. Suppose 5*u + u = 54. Suppose -5*b = -5*s - 174 + u, b + s = 27. Calculate the greatest common factor of h and b. 6 Let w = 21 - 39. Let n = 49 + w. Let z = n - -46. What is the highest common divisor of z and 11? 11 Suppose -u = -2*u + 1, -4*u + 84 = 5*t. Suppose 4*n - 4*w + 252 = 8*n, -3*w + 12 = 0. Let l = 99 - n. What is the greatest common divisor of l and t? 8 Let q(u) = u**2 - 8*u - 1. Let y be q(6). Let g be (-22)/10*(8 + y). Calculate the highest common factor of g and 22. 11 Let i = 11 - 5. Suppose 2*z + 0 = i. Suppose z*g - 8 = 13. Calculate the highest common divisor of g and 1. 1 Let c = 538 - 512. What is the greatest common factor of 13 and c? 13 Suppose 2*p + 11 = 4*b - 43, -b = 2*p - 21. Let n = -327 + 330. What is the highest common factor of n and b? 3 Let w = 32 - 32. Suppose 6*t - 224 + 56 = w. Calculate the highest common divisor of 14 and t. 14 Suppose 3*m + 27 = 4*y, 4*y + m - 12 - 27 = 0. Suppose -3*p = 9, -b = -5*b - 2*p + 86. Let s = b - y. Calculate the highest common factor of 126 and s. 14 Suppose -2*a = -6*a + 3*d + 88, 4*a = -5*d + 120. Let p(w) = w**2 - 27*w + 57. Let m be p(a). Calculate the highest common divisor of 28 and m. 7 Let r = 2435 - 1830. Calculate the highest common factor of 5 and r. 5 Suppose -3*r + 5*l = 8, -3*r + 5 = -5*r + 3*l. Let o be (r/(-2)*4)/2 + 7. Calculate the highest common divisor of o and 128. 8 Let d be ((-16)/(-5))/(8/180). Let z be (56/32)/(2/d). Suppose -2*g = 6*r - r - z, -r = g - 15. What is the greatest common factor of 11 and r? 11 Suppose 4*j + 4*c = 1812, 10*c - 9*c + 449 = j. Calculate the highest common divisor of j and 22. 11 Suppose 0 = -44*s + 1108 + 4040. Calculate the greatest common factor of 663 and s. 39 Suppose u - 15 = -1. What is the highest common factor of u and 182? 14 Let j(h) = -h**2 - 20*h - 23. Let v be j(-15). What is the greatest common factor of 78 and v? 26 Let r = 682 + -377. Let x = r - 138. Let t = x + -79. What is the highest common divisor of t and 8? 8 Let n = -62 - -68. Let g be (-66)/2*(-2 - (-8)/n). What is the highest common factor of g and 11? 11 Let c = 93 - 69. Let w = -13 + c. What is the greatest common divisor of 99 and w? 11 Suppose -27 = c - 49. Suppose -57*y + 59*y - c = 0. What is the highest common divisor of 143 and y? 11 Let s(f) = -f**2 + 8*f + 10. Let i be s(8). Calculate the greatest common divisor of 170 and i. 10 Suppose -53*s = -77*s + 3840. What is the greatest common factor of 128 and s? 32 Suppose -126 = 329*p - 335*p. What is the greatest common factor of p and 77? 7 Suppose -13*j - 89 = -1285. Calculate the highest common factor of 230 and j. 46 Suppose 16 = 5*d - d. Suppose 8*s - 18872 = d*s - o, 18868 = 4*s + 2*o. Let u be (2/(-6))/((-11)/s). What is the highest common divisor of 13 and u? 13 Let o(c) = -c**3 + 31*c**2 + 51*c + 16. Let j be o(32). Calculate the highest common divisor of j and 336. 48 Let b(u) = -5*u - 34. Let l(v) = 1. Let a(s) = -b(s) + 3*l(s). Let o be a(0). Calculate the greatest common factor of 185 and o. 37 Suppose -211 + 36 = 5*i. Let a be (-8314)/(-14) - 5/i. Calculate the highest common factor of a and 54. 54 Let i be 741/(-6)*(-9)/((-45)/(-20)). Calculate the greatest common factor of i and 38. 38 Suppose -32*f = -8*f - 134 - 418. Suppose r = -5*j + 920, 3*r = -4*j + 7*r + 736. Calculate the highest common factor of j and f. 23 Let j = -77 - -38. Let w = j + 75. Let o(z) = z**2 - z + 4. Let u be o(0). Calculate the greatest common divisor of u and w. 4 Let i(s) be the first derivative of -s**4/4 - 11*s**3/3 - s**2 + 13*s + 39. Let b be i(-11). Calculate the highest common divisor of b and 14. 7 Let y(u) = -u**3 - 15*u**2 + 54*u - 40. Let q be y(-19). What is the highest common factor of 42 and q? 42 Suppose 9*t - t - 32 = 0. Suppose 4*h + t*f = 84, 3*h + 5*f - 26 = 31. What is the highest common factor of 216 and h? 24 Let j = -222 + 126. Let a be ((-45)/(-4))/((-36)/j). Calculate the greatest common divisor of 15 and a. 15 Let h = 88 + -45. Suppose h = 4*w + 11. Let r(i) = i**3 + 3*i**2 - 6*i - 4. Let u be r(-4). Calculate the greatest common divisor of w and u. 4 Suppose 9 = 3*w - 0*w. Let l be 2 + 4 - 183/(-3). Suppose l + w = d. Calculate the greatest common divisor of d and 14. 14 Let g(n) = 7*n**2 + 10*n - 3. Let s be g(-3). Calculate the greatest common divisor of s and 480. 30 Suppose -5*d - 3*y = -2*y - 22, -16 = -5*d + 2*y. Let a be (-4)/(-2) + d + 2. Calculate the highest common divisor of a and 8. 8 Let a = -106 - -186. Let i(y) = 3 + 3*y - 1 + 3*y - 4. Let r be i(3). What is the greatest common factor of a and r? 16 Suppose 0 = -49*a + 53 + 1221. What is the greatest common divisor of a and 169? 13 Let c = 53 + 4. Let g = c - 7. What is the greatest common factor of g and 10? 10 Let c be 2/15 - (-19278)/1215. Calculate the greatest common factor of c and 272. 16 Let v(i) = -i**3 + 22*i**2 + 7*i - 46. Let r be v(22). Calculate the highest common factor of 54 and r. 54 Let y be (-18)/(-4)*128/48. What is the greatest common factor of 156 and y? 12 Let a = 1535 + -1532. Calculate the highest common factor of 339 and a. 3 Let s(d) = d**3 - 2*d**2 - 20*d + 16. Let c be ((-9)/3)/(-3) + 5. Let l be s(c). What is the highest common factor of l and 10? 10 Suppose -10*v + 16 = -6*v. Suppose 32 = 4*j - 4*w, w = -v*w + 15. Calculate the greatest common divisor of j and 77. 11 Suppose 3 - 6 = -w. Let x be 822/(-9) + 1/w. Let b = -55 - x. Calculate the highest common factor of 9 and b. 9 Suppose -4*n - 34 = -3*c + 36, 0 = c + 4*n - 2. Calculate the highest common factor of c and 1062. 18 Suppose 52 = 2*b + 12. Let n(a) = 2*a + 4*a + 0 + 1 - 5*a. Let i be n(4). What is the highest common factor of b and i? 5 Let h(k) = k + 15. Let v be h(6). Suppose -v*p = -17*p - 448. What is the greatest common factor of p and 48? 16 Let r(t) = t**2 + 4*t - 26. Let h be r(5). Calculate the greatest common divisor of h and 209. 19 Let p(g) = 34*g**2 + 60*g - 180. Let w be p(3).
{ "pile_set_name": "DM Mathematics" }
u(t). Is 8 a factor of z/90 + 2/(-5)? False Let o(t) = -t**2 - 43*t - 32. Suppose -4 = -4*j - 20. Let p be -3 - (144/6 - j). Is 34 a factor of o(p)? True Let f be 14/(-8) + 7/(-28). Let z be 1/f - (-923)/26. Let t = z + 55. Does 18 divide t? True Suppose 33*s = -27382 + 158359. Does 49 divide s? True Suppose -2*r - 5*r + 6477 = -2721. Is 28 a factor of r? False Let i = -12181 - -15921. Does 6 divide i? False Suppose -2699*p = -2701*p + 4. Let j(x) = -8*x - 7. Let t be j(-5). Suppose p*y - t = 101. Is y a multiple of 6? False Let o = -18899 - -30119. Is o a multiple of 204? True Let c(v) = -v**2 - 55*v + 48. Let s = 519 + -542. Is 14 a factor of c(s)? True Let y = 20 + 573. Let m = 1102 - y. Does 12 divide m? False Let x(a) = -38*a**2 + 3*a - 17. Let v be x(-4). Let q = -142 - v. Does 55 divide q? True Does 229 divide 1459247/177 + 1/(-3)? True Let p(j) = 5*j - 785*j**2 + 48 + 825*j**2 - 17*j. Does 40 divide p(4)? True Suppose -10183 - 10421 = -34*c. Is c a multiple of 3? True Suppose 0 = 2*i + 2*m - 19662, -25 = m - 24. Is 94 a factor of i? False Let i(x) = x**2 + 16*x - 463. Let m be i(0). Let s = 581 + m. Is s a multiple of 5? False Suppose -270918 = -72*t - 124*t + 22*t. Is 2 a factor of t? False Suppose 2*v + 2*v = k + 132, 4*k = 0. Let o(f) = f**2 - 5*f - 148. Does 42 divide o(v)? False Let t(r) = -7*r**3 + 19*r**2 + 54*r - 28. Is 41 a factor of t(-9)? False Suppose 2*d - d = -5*s + 13, 2*s - 4 = -d. Let h be 160/s - (-14)/21. Is h/((-1)/(-6) + 9/18) a multiple of 17? False Suppose -407922 - 442094 = -101*l. Is l a multiple of 4? True Suppose 4*t = 2*t - 3*r + 18, -4*r = t - 19. Suppose -14*f + 2*p = -10*f - 4544, t*p = 3*f - 3414. Does 94 divide f? False Let c(w) = -w**3 + 25*w**2 - 5*w + 26. Let a = 630 - 606. Is 27 a factor of c(a)? False Suppose 0 = 4*g + 4*j, 3*j - 11 = 2*g - 36. Suppose g*s + 49 = 304. Let o = 77 - s. Is o a multiple of 5? False Let q be (4 - 91/21)/(1/21). Is 23 a factor of (0/7)/q - -333? False Suppose 2*b + 5 = 39*c - 34*c, 4*c + 4*b = -24. Let w(p) = 80*p + 2. Let v(d) = -161*d - 3. Let r(t) = -6*v(t) - 13*w(t). Is 11 a factor of r(c)? True Let q(r) = 3*r**3 + 2*r**2 - r + 2. Let o be q(-3). Let n = o + 18. Let j = n + 57. Is j a multiple of 8? False Let v = -17003 + 27933. Does 19 divide v? False Suppose h - 2*n - 99 = -2*h, -2*n = 0. Let c = -51 + h. Let l = c - -58. Does 5 divide l? True Let l(g) = -g**2 + 39. Let b be l(-6). Suppose -2*d + i + 1410 = -b*i, -4*d = -3*i - 2835. Is 23 a factor of d? False Suppose 26*q + 161 = 49*q. Suppose -4*p + 68 = -2*o, 9*p = q*p + 5*o + 18. Is p a multiple of 2? False Let p = -4 + 7. Let i(z) be the first derivative of z**4/2 + 2*z**3/3 + z**2 + z - 48. Does 18 divide i(p)? False Let i(q) = 16*q**2 + 13*q + 10. Let l be i(6). Does 64 divide (4/(64/l))/((-1)/(-34))? False Suppose -42 = 5*g + 2*m, -6*m + 2*m = -g - 26. Let q(x) = x**2 + 10*x + 71. Is 63 a factor of q(g)? False Let t = 23 + -23. Suppose t = 8*w - 5*w + 39. Let r(s) = s + 43. Is 6 a factor of r(w)? True Suppose -5*l - p = -0*p - 80, -2*p + 16 = l. Suppose b = -4*f + 4496, 8*f - 4520 = 4*f + 5*b. Suppose -3125 = -l*q - f. Is q a multiple of 20? False Suppose 110*g = 160048 + 123092. Is g a multiple of 2? True Let i(u) = 168*u**2 - 168*u - 331. Does 21 divide i(-2)? False Let f be -3 + (4 + -2)*(-7 - -5). Does 15 divide f/(140/(-12)) - (-1281)/15? False Suppose -y - o + 21240 = 0, 106200 = 5*y + 232*o - 228*o. Is y a multiple of 59? True Let g = 17078 + -6504. Is 14 a factor of g? False Suppose 4*v - 8629 = 5*g, 2*v + 5*g - g - 4334 = 0. Is v a multiple of 72? False Suppose -219158 = -13*h + 50740 + 115305. Is 225 a factor of h? False Let l(i) = -12 - 30*i**2 - 3*i + 2 + 2 + 11. Let q be l(2). Let j = q - -147. Is j even? True Suppose -4*x + 4*i + 4906 + 95598 = 0, -i - 200959 = -8*x. Is x a multiple of 39? False Let g(y) = -2*y**3 - 2*y - 1. Let w be g(-1). Suppose 19 = -b + 3*t, -2*b = w*b + 2*t + 78. Let f = 24 - b. Does 33 divide f? False Is ((-7)/(-5))/((-347)/(-140535)) a multiple of 9? True Let p(f) = -f**2 + 4*f + 10. Let s be p(-3). Is (-7 - -10)*(2 - s) a multiple of 2? False Let b(y) = -9*y - 15. Let w be b(-7). Is w - -1 - (-51)/(-17) a multiple of 46? True Let y(w) = 832*w - 1454. Does 17 divide y(8)? True Suppose 0 = 98*g - 8642 - 432652. Is g a multiple of 33? False Suppose -21 = -4*a + 5*c, -4*a + 0*c - 4*c = -12. Suppose 5*y = -3*w + 868 + 884, a*y = -w + 591. Does 30 divide w? False Suppose 44*l - 6526 = 42*l + 5320. Does 6 divide l? False Let x(b) = -7769*b - 365. Does 8 divide x(-1)? False Suppose -15 = 17*r - 20*r + y, -5*r = -2*y - 24. Suppose 2*w + 1172 = r*w. Is 28 a factor of w? False Let c(r) = -r**3 - 21*r**2 - 493. Is 3 a factor of c(-24)? False Let g(n) = 4*n**2 - 56*n - 8. Is g(24) a multiple of 67? False Let i(w) = w**3 + 16*w**2 + 9*w + 16. Let f be i(-12). Let n be (-2)/((-2)/(3*10/15)). Suppose -88 = -q - 2*v - n*v, 2*v + f = 5*q. Is 32 a factor of q? True Suppose 0 = j - 6*j + 10, 2*j + 106 = 5*p. Suppose 0 = 7*r - 91 + 77. Suppose r*c = 106 + p. Is c a multiple of 11? False Let z(p) = 4*p - 11. Let c be z(4). Suppose -12 = 3*n, -4*j + c*n = -5*j + 29. Let f = j + -46. Is f a multiple of 3? True Suppose 291 = 12*f + 15. Let t = 51 - 32. Let c = f + t. Is 15 a factor of c? False Does 4 divide (978/(-5))/(((-81)/432)/((-70)/(-8)))? True Suppose -78*h - 104 = -79*h - 2*w, 0 = -2*h - 2*w + 218. Let d(j) = -j**2 - 60. Let m be d(0). Let u = m + h. Is 18 a factor of u? True Suppose 7*k = 18 - 53. Let b(l) = l**3 + 4*l**2 - 8*l - 15. Let z be b(k). Suppose -h + 59 - 8 = z. Is 7 a factor of h? False Let a = 295 - -489. Let l = a + -697. Does 14 divide l? False Suppose -6 = 512*x - 515*x. Suppose -l + 3*q = -716, -x*q + 12 = 4. Does 14 divide l? True Let r be 2 + 993/(-12) + 69/92. Is 14 a factor of r/(-6)*3276/130? True Let s = -55 - -59. Let b be ((-5)/s - -1) + (-1406)/8. Let f = -47 - b. Is 21 a factor of f? False Suppose 94*k + 157872 = 105*k. Does 66 divide k? False Let d(n) be the first derivative of n**6/120 - n**5/20 - 17*n**4/24 + 13*n**3/3 + 20. Let m(j) be the third derivative of d(j). Is m(6) a multiple of 8? False Is 7 a factor of (1 - 15/(-2))*(-3)/(33/(-1628))? False Suppose 2*q - 30 = -i, 10*i + 4*q + 164 = 15*i. Suppose 37*j + a - 2658 = i*j, 519 = j - 4*a. Does 12 divide j? False Suppose -5*q = 20, -5*a - q + 20 - 4 = 0. Suppose -3*n = 3*r - 531, 7*r + 364 = 2*n + a*r. Is 20 a factor of n? False Let u = 2683 + -1337. Is 4/(-14) - (u/(-7) + 2) a multiple of 23? False Let c(t) = -t**2 - 11*t + 3. Suppose -2*y + 7*y = -55. Let p be c(y). Does 8 divide (-1)/(4/(-176)) + p? False Suppose 0 = 87*w - 58637 - 98572. Is w a multiple of 9? False Suppose 121201 = 3*v + y, -30*y = -26*y - 4. Is 62 a factor of v? False Suppose 0 = 7*j - 340 - 143. Let d(f) = 2*f**3 + 2*f**2 + 4*f. Let l be d(-3). Let k = j + l. Is k a multiple of 3? True Let k be (316/16)/(3/12). Let z(g) = -6*g - 1. Let b be z(-4). Let w = k - b. Does 3 divide w? False Suppose -5*a - 5*g - 20 = 0, 0 = -0*a - 2*a + 3*g - 18. Suppose 21*y = 17*y + 4*d - 60, -5*d = 2*y - 12. Does 2 divide (-40)/(-6)*y/a? True Suppose 651*z = 707*z - 590352. Does 159 divide z? False Suppose -4*f + 8 = r, 2*r + f = -0*r + 2. Suppose r = 21*p - 13*p - 912. Suppose -2*g + p + 28 = -5*j, -3*j = 5*g - 324. Is g a multiple of 6? True Let k be ((-16)/(-10))/((-10)/(-6475)). Is 8 a factor of k*(3 - (-114)/(-42))? True Let w = -15747 - -31920. Is w a multiple of 4? False Let n(z) = z**3 + 20*z**2 - 57*z - 6. Does 35 divide n(-22)? True Suppose 11*w - 25*w = 22*w - 168480. Is 26 a factor of w? True Let a(v) = 28*v + 536. Let k be a(-8). Suppose -4*y = -4*z - 5 + 29, 0 = -y + 1. Suppose 0 = -11*o + z*o + k. Is o a multiple of 21? False Let o(p) = 3*p**2 - 78*p - 2700. Is 20 a factor of o(-80)? True Let r(o) = 68*o + 128. Does 16 divide r(12)? True Let p(c) = -c**3 - 11*c**2 + 14*c - 16. Let a be (-9)/27 + 35/(-3). Let r be p(a). Let t = r + 46. Does 6 divide t? True Let m = 79 - 77. Suppose 4*z = -m*d + d + 17, -2*z = 2*d - 16. Suppose -114 = -d*p + 2*p. Is p a multiple of 16? False Let h(y) = -4*y - 76. Let v be h(-20). Suppose 283 = -5*g + 5*c + 958, -2*g + v*c + 268 = 0. Is g a multiple of 13? False Let o(p) = p**3 + 12*p**2 + 8*p - 2.
{ "pile_set_name": "DM Mathematics" }
3 - h**3 + 2*h**3 + 0*h + 0*h + (4*h**2 - 3*h**2 - 3*h**2)*(-h - 3*h + 3*h) + 2*h**2 + 2*h**3 - 2*h**2. 7*h**3 Expand (3*a**3 - 4*a**3 - 2*a**3)*(7*a**2 + a**2 + 2*a**2). -30*a**5 Expand (-2*o + 4*o - 4*o)*(3 - 3 - 1)*(0*o**2 - 2*o**2 + 4*o**2)*(16 + 1 + 0). 68*o**3 Expand (-2*d - 9*d + d)*(d - d + 2*d**2) - 2*d**3 + 3*d**2 - 3*d**2. -22*d**3 Expand (3*r + 0*r + 0*r + (0*r + 5*r - 4*r)*(1 + 2 - 2))*(0 - 2*r + 0) + 6*r**2 + 6*r**2 - 22*r**2. -18*r**2 Expand (-4 + 2 + 0)*(3*v**2 + v**3 - 3*v**2). -2*v**3 Expand (2 + 0 - 4)*(-9*l**3 + l**3 + 4*l**3). 8*l**3 Expand (5*t - t - t)*(-8 + 17 - 6). 9*t Expand (n**2 - n**2 + n**2)*(-2*n - 3*n + 4*n) + n**3 - 2*n**3 - n**3 + (-n - 5*n + 5*n)*(-n**2 + 2*n**2 + n**2) + (2*n - n - 2*n)*(0*n**2 + n**2 + n**2). -7*n**3 Expand (-3 + 3 - f**2 + (1 + f - 1)*(2*f - 2*f - 2*f) + f**2 + 0 + 0 + 8*f - 5*f**2 - 8*f)*(3 + 2*f - 3). -14*f**3 Expand -2*l**5 + l**5 + 2*l**5 + (0*l**3 + 2*l**3 - 4*l**3)*(-2*l**2 + 1 - 1) - 2*l**3 + 2*l**3 + 4*l**5. 9*l**5 Expand (-n**5 - n**5 + n**5)*(-4 + 3 + 8) + 4 + n**5 - 4 + (2*n**2 - 3*n**2 - n**2)*(-2*n**2 + 2*n**2 + 3*n**3). -12*n**5 Expand (3*m**2 + 4 - 4)*(-4*m - m + 0*m + 0*m + m - 3*m + (-4 - 1 + 4)*(-m + 4*m - 2*m) - 4*m + 3*m + 3*m) - 2 - m**3 + 2 + 2*m**2 + m**3 - 2*m**2. -18*m**3 Expand (-2*j + 4*j - j)*(-j**2 - 7*j + 13*j - 5*j**4 + 4*j**4). -j**5 - j**3 + 6*j**2 Expand -7*g**4 - 14 + 14 - 3*g**4 - 2*g**4 + 6*g**4 + 2*g**3 + 2*g**4 - 2*g**3 + (g**3 + 2*g**3 - 2*g**3)*(2 - 2 + g). -3*g**4 Expand (3*p**3 + 0*p**3 - p**3)*(3 - 4 - 1)*(3 - 1 + 5). -28*p**3 Expand (2 + 0 + 0)*(-3*q + 0*q + 7*q + (0 - 3 + 5)*(4 + q - 4) + (5 - 1 - 5)*(3*q - 2*q - 3*q)). 16*q Expand -2*z**2 + 4 - 4 + (0*z - 9*z - 15*z)*(-3*z + 4*z - 2*z). 22*z**2 Expand (3*u - 3*u + 2*u**2)*((-1 + 1 + u)*(3*u + u - 5*u) + 0*u**2 + 2*u**2 - 4*u**2). -6*u**4 Expand ((-2*w + w + 0*w)*(0*w - 3*w + 2*w) + 2*w + 2*w**2 - 2*w)*(14 - 14 + 4*w). 12*w**3 Expand 0*v - 5*v + v + (0 + 3 - 1)*(-5 + 4*v + 5) + (-1 + 1 + v)*(-4 + 0 + 6) + (1 - 1 - v)*(5 - 4 + 1). 4*v Expand (14 + 9 - 4)*(4 - 4 - 2)*(-z**4 + 3*z**4 + 0*z**4). -76*z**4 Expand (11*y + 4*y + 8*y)*(-1 - 1 + 1)*(-4*y**3 + 4*y**3 + y**4). -23*y**5 Expand (-4 + 9 + 5)*(-5*q + 4*q + 0 + 1). -10*q + 10 Expand (-2 + 2 + 2*g)*(4 - 1 - 1)*(-1 - 3 + 5)*(-9 - 1 - 19). -116*g Expand (3 + 4 - 4)*(26*h - 8*h + 28*h)*(-2*h + 0*h + 3*h). 138*h**2 Expand (0 + 2*c**2 + 0)*(31*c - 98 + 98) - 5*c + 2*c**3 + 5*c. 64*c**3 Expand -4*i**2 + 3*i**2 + 2*i**2 + (i + i**2 - i)*(-28 - 43 + 5). -65*i**2 Expand (0*g + 4*g - 3*g)*(-g + 2*g**2 + g + (0*g + 2*g - g)*(0*g + 3*g - g))*(0 + 4 - 1). 12*g**3 Expand (2*w**2 - w**2 + w**2)*(-2*w - 3*w + 4*w) - 5*w**3 + 5 - 5. -7*w**3 Expand o**4 + o**4 - 276*o**2 - 2*o + 274*o**2 + 5*o**4 + 0*o**4 - 3*o**4 + (3*o - 2*o + 0*o)*(o**3 + 1 - 1). 5*o**4 - 2*o**2 - 2*o Expand (-3*a + 4*a - 2*a)*(-a**4 + 6*a**4 - 2*a**4) - 2*a**5 + 9*a**5 + 0*a**5. 4*a**5 Expand (-2*z + 2*z - 2*z)*(2 - 2 - 2*z**2) - 3*z**3 + 2*z**3 + 0*z**3 - 3*z**3 + z**3 + 4*z**3 + z - 3*z**3 + 0*z**3 + z**3. 3*z**3 + z Expand (0 + 0 - 13)*(4*o - 4*o - 3*o). 39*o Expand (64 + 1 - 5 + (1 + 0 + 1)*(1 + 4 - 7) - 1 - 2 + 5)*(2*c - 2*c - c). -58*c Expand (-2*g + 2*g + g**3)*(g - g + 3*g) + 6*g**4 - 2*g**4 - g**4. 6*g**4 Expand (2*d + d + 2*d)*(3*d + 4*d - 6*d)*(-5*d**3 + 0*d**3 - 3*d**3 + (-1 + d**2 + 1)*(0*d - 3*d + 4*d) + d**3 + 0*d**3 + 0*d**3). -30*d**5 Expand (-3*r**3 - 10*r**3 - 7*r**3)*(4*r - 4*r - 2*r**2). 40*r**5 Expand (1 - 3*t - 1)*(0 + 3 - 5) + 4*t - 2*t - 6*t. 2*t Expand (-10*d**4 - d**4 + d**4 + (-2*d**3 - 2*d + 2*d)*(0*d + 0*d - d))*(3 - 5 + 0)*(-2 + 2 - 2*d). -32*d**5 Expand (-3 + 3 + q)*(4*q - 4*q + q**3) + 2 - 2*q**4 - 2 + (-q - q - 3*q)*(-q**3 + q**3 + 4*q**3). -21*q**4 Expand m**2 + 2*m**3 - m**2 + (m**3 - 4 + 4)*(0 - 3 + 0). -m**3 Expand (0*u**4 + 3*u**4 - 5*u**4)*(-3*u - u + 5*u) + 3*u**5 - 3*u**5 + u**5 + (-18*u - 7*u - 37*u)*(2*u**4 + 2*u**4 - 5*u**4). 61*u**5 Expand (-11 - 24 + 4)*(-2*s - 2*s + 5*s). -31*s Expand (-3*j + j + 0*j)*(4*j**3 + j**3 - 3*j**3 + (6*j**2 - 2*j**2 - 2*j**2)*(-1 - 2*j + 1)). 4*j**4 Expand ((5*p - 2*p + 0*p)*(p - p - 3*p) - 1 + 1 - 2*p**2)*(0*p - p**2 + 0*p). 11*p**4 Expand (2 - 1 + 0)*(0*v - 3*v + 2*v)*(-2*v + 3*v + 0*v). -v**2 Expand (7 + 4 - 4)*(k**2 + 0*k + 0*k) + 6*k**2 + 0 + 0. 13*k**2 Expand (5*s**2 - 3*s**2 - 3*s**2)*(-85*s + 123 - 123). 85*s**3 Expand (-3*y**3 + 8*y**3 + 2*y**3)*(0*y - 2*y + y). -7*y**4 Expand (-6*q**4 + 2*q**4 + 2*q**4)*(3*q - 4*q - q)*(-3 + 3 + 3). 12*q**5 Expand (4*x**2 - 5*x**2 + 4*x**2 + 5*x**2 + 0*x**2 - 3*x**2 + (-5*x + 4*x - x)*(-3*x + 3*x + x) - 4*x**2 + 2*x**2 + x**2)*(2 + 0 + 1). 6*x**2 Expand (-39*q - 40*q + 78*q + q**4)*(-1 + 1 - 2). -2*q**4 + 2*q Expand -g + 5*g - 3*g + (1 - 3 + 0)*(-1 - 1 - 1)*(g + 0*g - 2*g). -5*g Expand (3*x**2 + x**2 - x**2)*(0*x**2 + 0*x**2 + 2*x**2). 6*x**4 Expand (6 - 6 + 11*w)*(3*w + 2*w + w)*(-5 + 4 - 1). -132*w**2 Expand (0*w + w - 6*w)*(2 - 2 + 2 - 4*w**2 - 3*w**2 + 2*w**2 - w**2 + 4*w**2 + 0*w**2 - 3*w**2 + w - w - 2*w**2 + (-2*w - 3*w + 4*w)*(0 + 2*w + 0)). 45*w**3 - 10*w Expand ((-4 + 1 + 4)*(-2*o + 0*o + o) + o + 3*o + 0*o)*(-2 + 2 + 2)*(-2 + 4 - 1). 6*o Expand -6 - b**3 - 2 + 4*b - 5*b + (-2 + 3 + 1)*(2*b**2 + 2*b**3 - 2*b**2). 3*b**3 - b - 8 Expand (1546 - 1546 + 11*v**2)*(v + 0*v - 2 - 2*v). -11*v**3 - 22*v**2 Expand (10*n**2 - 14*n**2 + 2*n**2)*(1 + 1 + 0). -4*n**2 Expand (n**3 - 2*n**3 + 2*n**3)*(-2*n + 3*n + 0*n) - 3*n + 3*n**4 + 2*n - n. 4*n**4 - 2*n Expand (-5*r**2 - r**2 + r**2)*(r + 3*r - 5*r)*(0 - 3*r + 0). -15*r**4 Expand (3 + 2 - 2)*(2*z**2 - 2*z**2 + 3*z**2). 9*z**2 Expand (-2*l**4 - 3*l**2 + 3*l**2)*(0*l + 2*l + 0*l) + 0*l**3 + 4 - 2*l**3 - 3 - 4*l**5. -8*l**5 - 2*l**3 + 1 Expand (211*m**2 + 806 - 403 - 403)*(0*m + m + m). 422*m**3 Expand (5*a - 4*a + a)*(-3*a**2 + a**2 + 4*a**2) + (3*a + a - 3*a)*(a - 2*a**2 - a). 2*a**3 Expand (3*g - 2 - 2*g + 5)*(3 + 2 - 6). -g - 3 Expand (-z + 0*z + 0*z)*(-z + 2*z**3 + z) - 5*z**3 + 5*z**3 - z**4 + z**4 - 1 + 1 + 2*z**4 - z**4 + 2*z**4. z**4 Expand -3 + 2*q + 3 - q + 1 - 1 + (0*q + q + q)*(4 - 1 - 1) + 2*q - 1 + 1 + 0*q - q + 0*q. 6*q Expand (0 + 0 - y)*(-6*y**2 + 0*y**2 - 5*y**2)*(2*y**2 - y**2 + 0*y**2). 11*y**5 Expand 3*t - 3*t + t**4 + (4*t**2 + 2*t**2 + 0*t**2)*(t**2 + 2 - 2) + (-4*t**2 + 0*t**2 + 2*t**2)*(-t + t - 2*t**2) + 2*t**4 + 3*t**4 - 6*t**4. 10*t**4 Expand (2*y - 3*y + 0*y)*(-5 + 6*y**2 + 5). -6*y**3 Expand (-3 + 1 + 3 + (1 + 2 - 2)*(-4 + 13 - 53))*(-2*x - x + x). 86*x Expand (-1 + 5*v + 11*v - 17*v)*(-1 + 1 + 2*v). -2*v**2 - 2*v Expand 0*l**2 + 0*l**2 - l**3 + 8*l + 3*l**3 - 8*l + 4*l**3 - 6*l**3 + l**3 + (l - l**2 - l)*(2 - 2*l - 2). 3*l**3 Expand 0*v - 2*v + v - 2*v - 1 + 1 + (2 - 1 - 9)*(-v - 2 + 2) + 2*v + 0*v - 3*v. 4*v Expand (-18*n + 42*n - 13*n)*(0 + 0 + 4*n**3). 44*n**4 Expand 3*n + 2*n**4 - 3*n - n**4 - 5*n**4 + 4*n**4 - 3*n**4 - 2*n**4 + 0*n**4 + (n + n**2 - n)*(-n**2 + 0*n**2 + 3*n**2). -3*n**4 Expand (0 + 0 - 3*p)*(-2 + 2 - 1)*(-3*p**2 + 3*p**2 + 2*p**3). 6*p**4 Expand o + 2*o - 6*o - 6*o + 3*o - o + (2*o - 2*o - o)*(-7 + 3 + 2). -5*o Expand (77*j + 250*j + 110*j - 130*j)*(j**3 - 4 + 4). 307*j**4 Expand (3*l**3 + 0*l**3 - 2*l**3)*(1 - 5 + 2) - 4*l**3 + 2*l**3 + 19*l**3 - 2*l**3 + 0 + 0 + (4*l**2 + 0*l**2 - 2*l**2)*(0*l - 4*l + 2*l). 9*l**3 Expand z + 0*z - 3*z + (-4*z + 4*z + 2*z)*(-1 + 4 + 0) + 3*z - 4*z - z. 2*z Expand (2 + 9 - 2)*(9*c**3 - c**3 + 6*c**3). 126*c**3 Expand (-1 - 1 + 0)*(-3*a - 1 + 3*a + 2*a)*(-5*a + 2*a + a). 8*a**2 - 4*a Expand (2*w - 3*w + 0*w)*(-3 + 4 - 2)*(-4 + 3 + 0). -w Expand (p**3 - 3*p**3 + 0*p**3)*(14*p**2 - 7*p**2 + 2*p**2). -18*p**5 Expand (j - 4*j + 2*j)*(3*j + 0*j + 5*j) - 3 + 3 - j**2. -9*j**2 Expand (2 - 2 - 3*m**2)*(-2 + 5*m**2 + 2) - m**4 - m**4 - m**4. -18*m**4 Expand -2*j**5 - j + j + (-5 + 2 + 1)*(-5*j**5 - j**5 + 2*j**5). 6*j**5 Expand -5*t**3 + 6*t**3 + 8*t**3 + (2*t + 2*t**2 - 2*t)*(-t + 0 + 0). 7*t**3 Expand (-2*f**2 - f**2 + 8*f**2)*(-2*f + 2*f + 2*f**3 + f**2). 10*f**5 + 5*f**4 Expand (3*p - 5*p + 3*p)*(-2 + 1 - 1 + (0 - 2 + 1)*(1 - 4 + 2) + 0 - 1 - 1). -3*p Expand (-1 + v + 1)*(-3 + 4 + 1). 2*v Expand 2 - 2 - c**2 + (2*c - 2*c + 3*c)*(3*c + 14*c - 6*c). 32*c**2 Expand ((-3 + 3 - u**2)*(u + 0 + 0) - u**3 - 2*u**3 + u**3 - 2*u**2 + 2*u**2 + u**3 - 3*u**
{ "pile_set_name": "DM Mathematics" }
oes 9 divide 83736? True Is 91 a multiple of 91? True Does 13 divide 85124? True Is 10 a factor of 16090? True Does 9 divide 1104? False Is 30 a factor of 1740? True Does 27 divide 71792? False Does 161 divide 52413? False Is 8872 a multiple of 4? True Is 30 a factor of 5250? True Does 10 divide 18473? False Does 7 divide 2429? True Is 16870 a multiple of 29? False Does 9 divide 7745? False Is 59 a factor of 944? True Does 200 divide 13939? False Is 8296 a multiple of 16? False Is 3037 a multiple of 129? False Is 69 a factor of 1816? False Is 5420 a multiple of 4? True Is 4 a factor of 648? True Does 184 divide 35359? False Does 95 divide 356? False Is 44 a factor of 1804? True Does 18 divide 2582? False Is 8749 a multiple of 13? True Does 30 divide 660? True Is 1665 a multiple of 37? True Does 22 divide 3520? True Is 54 a factor of 495? False Is 53 a factor of 10441? True Does 46 divide 53928? False Does 13 divide 825? False Is 819 a multiple of 63? True Is 6 a factor of 582? True Is 36946 a multiple of 29? True Is 9771 a multiple of 191? False Is 3878 a multiple of 14? True Is 14 a factor of 587? False Is 8345 a multiple of 3? False Is 36 a factor of 18785? False Is 291 a factor of 48597? True Does 216 divide 93885? False Is 43 a factor of 3784? True Does 11 divide 33? True Does 30 divide 3030? True Does 7 divide 91? True Is 1184 a multiple of 37? True Is 5904 a multiple of 36? True Is 2512 a multiple of 33? False Does 74 divide 8403? False Is 516 a multiple of 35? False Is 7129 a multiple of 63? False Does 31 divide 12214? True Is 5460 a multiple of 20? True Is 13 a factor of 4238? True Is 31076 a multiple of 65? False Is 5516 a multiple of 10? False Is 20 a factor of 115? False Is 4032 a multiple of 28? True Is 14934 a multiple of 57? True Is 40 a factor of 1200? True Does 34 divide 654? False Is 1296 a multiple of 144? True Is 11160 a multiple of 186? True Does 19 divide 123? False Does 44 divide 308? True Does 12 divide 54852? True Is 1001 a multiple of 91? True Is 6 a factor of 3000? True Is 21 a multiple of 21? True Is 46 a factor of 755? False Is 266 even? True Is 15 a factor of 1548? False Does 90 divide 1445? False Is 60 a factor of 1500? True Is 560 a multiple of 35? True Is 11 a factor of 4851? True Is 113 a factor of 1497? False Does 20 divide 2940? True Does 5 divide 65? True Is 26 a multiple of 13? True Is 90640 a multiple of 440? True Does 55 divide 4015? True Is 18 a multiple of 18? True Is 19 a factor of 2831? True Does 131 divide 15998? False Is 5 a factor of 754? False Is 332 a multiple of 5? False Is 18075 a multiple of 40? False Is 28 a factor of 22011? False Is 12 a factor of 27988? False Is 41 a factor of 1292? False Is 468 a multiple of 18? True Does 2 divide 1504? True Is 4 a factor of 363? False Does 31 divide 1922? True Is 24 a factor of 20026? False Is 28347 a multiple of 7? False Is 10 a factor of 86? False Does 4 divide 2368? True Is 62 a factor of 11656? True Does 32 divide 1983? False Does 14 divide 1120? True Is 2 a factor of 191? False Is 2 a factor of 1464? True Is 6322 a multiple of 6? False Is 58 a factor of 1856? True Is 14 a factor of 10682? True Is 20 a factor of 1960? True Is 334 a multiple of 2? True Is 171 a multiple of 4? False Is 3 a factor of 22? False Is 13 a factor of 44330? True Is 33 a factor of 3597? True Does 30 divide 410? False Is 6770 a multiple of 34? False Is 11 a factor of 2857? False Is 708 even? True Is 17 a factor of 15830? False Is 28 a factor of 812? True Does 16 divide 800? True Is 2 a factor of 226? True Is 544 a multiple of 32? True Is 182 a multiple of 7? True Does 129 divide 4695? False Is 4095 a multiple of 7? True Is 8 a factor of 30376? True Does 28 divide 4160? False Is 6 a factor of 120? True Is 2534 a multiple of 13? False Is 20 a factor of 551? False Is 5 a factor of 710? True Is 2205 a multiple of 49? True Is 13 a factor of 10426? True Does 55 divide 5132? False Is 8 a factor of 282? False Is 27825 a multiple of 53? True Is 6018 a multiple of 24? False Is 45 a factor of 90? True Does 35 divide 3850? True Is 50 a factor of 26600? True Does 22 divide 27496? False Does 21 divide 567? True Does 5 divide 4624? False Does 6 divide 657? False Is 1228 a multiple of 4? True Is 31280 a multiple of 16? True Does 42 divide 1487? False Is 5 a factor of 788? False Does 3 divide 39867? True Is 154 a factor of 766? False Is 929 a multiple of 42? False Does 28 divide 272? False Does 3 divide 1647? True Is 18830 a multiple of 5? True Does 26 divide 4474? False Is 17807 a multiple of 24? False Is 104 a factor of 517? False Is 10 a factor of 278? False Does 94 divide 12220? True Is 17 a factor of 1003? True Is 2147 a multiple of 19? True Is 61 a factor of 40176? False Is 1447 a multiple of 15? False Does 17 divide 21238? False Does 38 divide 5587? False Does 19 divide 1218? False Is 92 a factor of 8746? False Is 89 a factor of 2759? True Is 5976 a multiple of 36? True Is 12 a factor of 5820? True Does 3 divide 1563? True Does 38 divide 3914? True Does 12 divide 936? True Is 4 a factor of 3449? False Is 2 a factor of 727? False Is 1204 a multiple of 80? False Does 21 divide 672? True Does 88 divide 33936? False Is 5815 a multiple of 74? False Is 10 a factor of 2930? True Does 11 divide 3259? False Is 6 a factor of 654? True Is 9040 a multiple of 80? True Is 9676 a multiple of 22? False Is 73 a multiple of 2? False Does 8 divide 800? True Is 34330 a multiple of 151? False Is 15 a factor of 776? False Does 27 divide 51516? True Does 15 divide 5430? True Is 17 a factor of 5404? False Is 55 a factor of 1155? True Is 3 a factor of 1465? False Does 83 divide 5644? True Does 37 divide 2997? True Is 74 a factor of 950? False Is 3 a factor of 35445? True Is 77776 a multiple of 8? True Does 20 divide 2020? True Is 15651 a multiple of 141? True Is 340 a multiple of 20? True Is 1258 a multiple of 37? True Does 4 divide 430? False Does 8 divide 352? True Is 6326 a multiple of 103? False Does 7 divide 50? False Is 20 a multiple of 20? True Is 33 a factor of 1683? True Does 116 divide 23316? True Is 57 a factor of 57? True Is 14 a factor of 16282? True Is 296 a multiple of 8? True Is 238 a multiple of 17? True Is 17 a factor of 2763? False Does 52 divide 26340? False Is 22 a factor of 336? False Does 33 divide 825? True Does 53 divide 901? True Is 6520 a multiple of 23? False Is 33 a factor of 1650? True Is 43946 a multiple of 73? True Does 27 divide 427? False Is 42 a factor of 80184? False Is 623 a multiple of 17? False Does 50 divide 250? True Is 152 a factor of 34318? False Is 1238 a multiple of 5? False Does 11 divide 5776? False Is 14298 a multiple of 6? True Is 1530 a multiple of 45? True Does 8 divide 1524? False Does 6 divide 54? True Is 2000 a multiple of 80? True Is 1098 a multiple of 18? True Does 17 divide 38420? True Does 14 divide 1915? False Is 3934 a multiple of 155? False Is 12 a factor of 18072? True Is 23 a factor of 2314? False Does 26 divide 566? False Does 17 divide 16303? True Does 8 divide 17413? False Is 11 a factor of 88? True Does 26 divide 2333? False Does 17 divide 1871? False Is 17 a factor of 12015? False Does 13 divide 28? False Is 4474 a multiple of 6? False Does 10 divide 13683? False Is 17 a factor of 68? True Does 118 divide 1577? False Is 2 a factor of 8? True Does 155 divide 6319? False Does 2 divide 2695? False Is 57 a factor of 148? False Is 11925 a multiple of 79? False Is 2784 a multiple of 48? True Is 26479 a multiple of 269? False Does 86 divide 1376? True Does 13 divide 3854? False Does 64 divide 1472? True Is 189 a multiple of 21? True Does 5 divide 25680? True Is 30 a factor of 8835? False Does 9 divide 2565? True Is 1482 a multiple of 17? False Is 3 a factor of 2870? False Does 334 divide 1700? False Is 226 a multiple of 7? False Is 40039 a multiple of 102? False Is 4 a factor of 14155? False Is 3017 a multiple of 6? False Is 3 a factor of 9158? False Is 1168 a multiple of 6? False Does 4 divide 863? False Does 12 divide 1308? True Is 5330 a multiple of 24? False Is 675 a multiple of 75? True Is 25944 a multiple of 92? True Is 122 a factor of 10980? True Is 4564 a multiple of 7? True Is 3056 a multiple of 125? False Does 146 divide 2356? False Is 19
{ "pile_set_name": "DM Mathematics" }
2*y, w = y + q - 7. Suppose y*f + 0 - 8 = 0. Is f a multiple of 4? True Suppose 2*u = -5*u + 1876. Is 46 a factor of u? False Let p(v) = -v**3 + 12*v**2 - 12*v + 13. Let y be p(11). Suppose 3*n + g - 3*g = 11, -9 = -n - y*g. Does 2 divide n? False Let b = -32 - -57. Suppose h + 2*h + 15 = 3*f, 0 = 3*f + 2*h - b. Suppose -n + f = -3. Does 4 divide n? False Let n be (-6)/(-21) - (-244)/28. Let t(q) = -q + 15. Let b be t(n). Let h(i) = i**3 - 4*i**2 - 3*i + 2. Is h(b) a multiple of 15? False Let s(k) = k**2 + 15*k + 3. Let y be s(-15). Suppose -320 = -u - y*u. Is 16 a factor of u? True Let v(o) = -2*o**3 - 3*o**2 + 3*o + 3. Let w be v(-3). Let a be 2/3 - 846/54. Let n = a + w. Is n a multiple of 6? True Does 47 divide 5*(3 - 4) + 287? True Let n = 905 - 570. Does 55 divide n? False Let y = 23 + -43. Suppose 5*t + 0*v = 2*v - 40, -5*t = 2*v + 40. Let g = t - y. Does 8 divide g? False Suppose -2*a = 2*u - 7*a + 41, a = 4*u + 37. Let s = -1 - u. Suppose 2*m - 31 + s = 0. Is 6 a factor of m? True Suppose 4*m + 15 = 511. Is m a multiple of 14? False Let a be 2 + (-7)/((-7)/(-6)). Let t = 8 + a. Is t even? True Suppose 2*s - 3*s = -2. Suppose 0 = s*v - 2 - 4. Suppose 5*k + 2*o - 230 = 0, 3*k - v*o = 8*k - 235. Is k a multiple of 16? False Is 22 a factor of 108/(8/4) + -2? False Suppose 386 + 254 = 8*b. Is b a multiple of 16? True Suppose -2*x + 3 = 9. Let k(f) = -f + 1. Does 4 divide k(x)? True Let v be (36/(-21))/(4/(-14)). Let z(c) = -c**2 + 9*c - 5. Is z(v) a multiple of 13? True Suppose -2*d = -5*p + 156, 93 = -0*p + 3*p - d. Let i be (-52)/10 - (-6)/p. Does 2 divide i/(-10)*(14 - 0)? False Does 10 divide (-1)/(-2)*(-6 - -122)? False Suppose d - 6*d + 15 = 0. Suppose 0*y - 93 = -d*y. Is 7 a factor of y? False Suppose -20 = 5*i - 0, -5*c - i + 116 = 0. Let s = -10 + c. Does 14 divide s? True Suppose 2*l + 12 = 6*l. Suppose -30 = -l*k - 2*k. Is k a multiple of 2? True Suppose 3*k + k - 46 = -2*p, 5*k + p - 59 = 0. Suppose -c - k = -4*w, 3*w + 3*c - c - 20 = 0. Is 2 a factor of w? True Let s(p) = -p**3 - 5*p**2 - 6*p - 6. Let o be s(-4). Suppose -27 = -o*c - c. Suppose 2*u - 3*u + c = 0. Does 3 divide u? True Let w(s) = -s**2 + 10*s + 7. Is w(10) even? False Suppose 2*u - 3*y = 14, -5*y = 5*u - 71 + 11. Suppose 2*t = -u, -2*t = -i + 2*t + 24. Let x = i + -1. Is 2 a factor of x? False Let n(l) be the first derivative of 2*l**3/3 + 3*l**2/2 - 5*l + 3. Does 13 divide n(-6)? False Let b be 3*3/9*4. Does 4 divide 2/b*(6 + 4)? False Suppose 0*o - 2*o + 30 = 2*k, -k - 3 = 0. Does 7 divide o? False Let w = -5 - -5. Suppose -4 + w = 4*a. Does 16 divide -3 + (2 - 37)/a? True Suppose -6 = -2*s + 4, -2*s = 2*h - 50. Suppose 0 = -l + 4*y + 15, l + 0*l = -2*y + 9. Let z = h - l. Is z a multiple of 6? False Is (-564)/(-24) + ((-15)/2)/(-5) even? False Let w(r) = r**2 - 9*r + 5. Let s be w(9). Let u(c) = -c - 5 + s. Does 5 divide u(-6)? False Let p = 35 - 5. Does 20 divide p? False Suppose 44*r = 49*r - 945. Is 19 a factor of r? False Let d(q) = q**2 + q + 2. Let i be d(-3). Suppose i*p = 3*p. Suppose 2*u + 2*u - 80 = p. Does 14 divide u? False Let o be 28 + -5 + (-6)/(-2). Suppose -2*y + y = -o. Is y a multiple of 15? False Suppose 2*c = -b + 6, 0 = 3*b + b + 3*c - 19. Suppose -x = 3*l + 7, 2 = x + b*l + 9. Let f(q) = -2*q - 5. Does 8 divide f(x)? False Let d(c) = c - 7. Let n be d(7). Suppose 4*s - 20 = n, -2*s + 15 = -4*m + 89. Is 7 a factor of m? True Suppose 0*l - 4*a - 64 = -3*l, 0 = -l - 2*a + 38. Does 7 divide l? True Does 6 divide (20/(-12))/(3 + (-55)/18)? True Suppose 3*u - 10*u = -287. Is u a multiple of 9? False Let m(p) = p**2 - 5*p - 2. Let i be m(6). Suppose 5*d - 2 = 2*u + 5, 0 = i*d + 2*u - 20. Is 1 - (-1 + (-87)/d) a multiple of 14? False Let z = -24 + 45. Suppose z = 2*t + t. Suppose 2*o - 63 + t = 0. Is 10 a factor of o? False Let x(r) = 4*r - 1. Let o = 4 - -1. Does 9 divide x(o)? False Suppose -14 = -k + 5*w, k + 4*w + 9 = 32. Suppose 3*o + 5*h + k = 0, o + 3 = -0*h - h. Is 2 a factor of o? True Let a = -3 - -16. Is 4 a factor of a? False Suppose -5*y + 3*x - 79 = 0, 0*x + 2*x = 5*y + 81. Let v = y - -25. Is v a multiple of 3? False Suppose -2*t + 0*d + 4*d + 54 = 0, 0 = -2*t - 3*d + 89. Does 7 divide t? False Let j(t) be the first derivative of -t**3/3 - 3*t**2 - 3*t + 2. Let h be j(-4). Suppose 2*f - h*f + 78 = 0. Does 13 divide f? True Let j(u) = 10*u. Let x(k) = -k**3 - 8*k**2 - 2*k - 11. Suppose 5*b = -5*c - 45, 2*c + 0*b + 3*b = -19. Let v be x(c). Does 18 divide j(v)? False Let o(n) = -n**3 - 5*n**2 + 6*n + 6. Let a(s) = s**2 + 7*s. Let k be a(-6). Does 3 divide o(k)? True Suppose 0 = 5*d - 2*o - 320, -3*d + 7*d - 233 = -3*o. Is 6 a factor of d? False Suppose -3*r = 2*y - 136, 3*y + 2*r - 250 + 51 = 0. Suppose 3 = 3*p + f - y, 5*f + 28 = p. Is p a multiple of 8? False Let u(y) be the third derivative of -y**6/120 + 2*y**5/15 - y**4/3 - y**3/3 - 2*y**2. Is u(6) a multiple of 9? False Let w(t) be the first derivative of -t**2/2 + 5*t + 3. Let h be w(-4). Suppose a = h - 3. Is a a multiple of 4? False Let j = 23 - 8. Does 15 divide j? True Suppose 5*j + 21 - 66 = -2*f, j = -5*f + 9. Is 3 a factor of j? True Suppose 0 = -3*q - 4*x + 44, x = 2*q - 62 + 18. Suppose -u - 2*p + 2 = 0, 0 = -2*u + 5*u - p - q. Is u a multiple of 6? True Suppose 20 = 2*f + 4*r, r - 1 - 3 = 0. Let v = 9 - f. Is v a multiple of 3? False Let j = -109 + 351. Does 17 divide j? False Let r(y) = y**2 + 4*y + 3. Let n be r(-3). Suppose -5*u = -n*u + 20. Is (u/10)/((-2)/80) a multiple of 8? True Suppose -g = 5*u - 252, 2*u + 2*g + 3 = 99. Does 17 divide u? True Suppose 450 = -44*h + 49*h. Is 18 a factor of h? True Suppose -2*b - 5*z + 272 = -z, 5*z = 25. Does 7 divide b? True Suppose 3 = -2*f - 4*y - 9, -17 = 2*f + 5*y. Suppose 2*w + 0 = -f, -4*p = -2*w - 20. Suppose -3*n = -p*n + 8. Is 3 a factor of n? False Suppose -4*q + 307 + 37 = 0. Suppose -3*j - q = -8*p + 3*p, -5*p + 104 = 3*j. Does 13 divide p? False Let t = 3 + 111. Does 62 divide t? False Let w be 8 + 0 + -4 + 1. Suppose -w*f - 3*z = -63, z - 10 = 4*f - 57. Is f a multiple of 6? True Let h be (2 - 2)/(1*2). Suppose h*q + 25 = 5*q. Let s = 17 - q. Does 9 divide s? False Is 9 a factor of (-15)/20 + (-444)/(-16)? True Let s(c) = 20*c**2. Is s(-1) a multiple of 2? True Suppose -2*f + 9*f = 1834. Does 25 divide f? False Let v(b) = b**2 - b + 14. Does 21 divide v(-7)? False Suppose -x - 18 = -a, 5*x + 0*x = -5*a + 140. Is 12 a factor of a? False Let v = -13 - -22. Let l(a) = -4*a + 16. Let d(z) = -5*z + 17. Let n(x) = -3*d(x) + 4*l(x). Is 4 a factor of n(v)? True Let u = 3 + 42. Is 15 a factor of u? True Let a(s) = 4 - 7*s + 5*s + s**2 - 4. Is 5 a factor of a(4)? False Let i(y) be the second derivative of -3/2*y**2 - 7/6*y**3 - 2*y + 0 + 1/6*y**4. Is i(6) a multiple of 14? False Let x be ((-1)/(-1))/((-1)/(-6)). Suppose -3*a + x = w, -w + 5*a - 32 = w. Let b(v) = -v**2 - 8*v + 5. Does 11 divide b(w)? False Suppose 4*y + h - 376 = 0, 5*y + 0*h - 469 = -h. Is 6 a factor of y? False Let f = 43 + 9. Is f a multiple of 12? False Let y(w) be the second derivative of -3*w + 0 - 1/12*w**4 - 1/6*w**3 + 23*w**2 + 1/20*w**5. Does 23 divide y(0)? True Let u(l) = -l - 2. Let f be u(-4). Is 6 a factor of (-1)/2 + 31/f? False Suppose u = 3*t - 495, -u + 495 = -2*t + 5*t. Does 15 divide t? True Let q be (54/8)/((-2)/8). Is (-2)/8 + q/(-12) even? True Suppose 3*s - 5 = 2*s. Suppose 201 = 2*b + b. Suppose s*q - b + 12 = 0. Does 11 divide q? True Let x(k) = 149*k - 4. Is x(1) a multiple of 7? False Is 26 a factor of 2/4*2 + 151 - 1? False Let m = -2 + 5. Does 10 divide 1/(m/66) + -2? True Let s = 3 + 2. Let d(n) = -15*n**2 + 25*n - 1. Let m(o) = -8*o**2 + 13*o. Let b(a) = -6*d(a) + 11*m(a). Is 21 a factor of b(s)? True Does 6 divide 30/(-255) - (-1024)/34? True Suppose 2*k - 3 = -3*k + 2*m, 3*k - 2 = m. Is 16 a factor of 2 - k*-6*5? True Suppose 3*u - 40 = 50. Is 15 a factor of u? True Suppose -3*a + 4 = -11. Suppose 2*n + a*v - 14 = 0, 2*v = -2 - 2. Does 6 divide n? True Let o(a) = 5*a**2 - 8*a - 9. Let h(y) = 7 - 24*y - 6*y**2 + 20*y**2 - 34. Let f(z) = 6*h(z) - 17*o(z). Does 2 divide f(-6)? False Let l(x) = 65*x**3 - x. Is 32 a factor of l(1)? True Let k = -29 - -45. Is k a multiple of 4? True Suppose -43 = 3*p - 10. Let r = 22
{ "pile_set_name": "DM Mathematics" }
ominator of 2 - t - (-141)/24 and -15/8. 8 Let b = 4213 - 1478756/351. What is the common denominator of -79/234 and b? 702 Suppose 4*f - 2*f - 78 = 4*y, 5*f = -4*y - 85. Let i(d) = d**3 + 16*d**2 - 81*d + 24. Calculate the smallest common multiple of 12 and i(y). 132 Suppose 399*o = 400*o - 24. What is the least common multiple of 105 and o? 840 Suppose -21867 = -3*j + 2*m + 20566, 0 = 4*m + 8. Let k be -6 + -6 + 708315/50. Let g = k - j. What is the common denominator of 20/3 and g? 30 Let x = 8859 - 70925/8. Find the common denominator of x and 63/7772. 15544 Let c be ((-3344)/11742)/((-20)/(-6)). Let s = c - -41301/7210. What is the common denominator of -8/49 and s? 98 Suppose -3*w + 4*f + 65 = -83, 3*w - 173 = -f. Suppose 0 = -5*h - 25, -4*h + 44 = -4*m + 8*m. What is the lowest common multiple of w and m? 112 Suppose 2*q - 5*k = -52, -29 = q - k - 0*k. Let a = q - -36. Calculate the least common multiple of 6 and a. 30 Let s = -1961/6 + 326. What is the common denominator of s and (3 + (-2)/2)*(-429)/(-108)? 18 What is the common denominator of -41/18 and (2/((-144)/26))/((-19392)/(-2880))? 3636 Let n = 7 + -39. Let l = -20 - n. Suppose -25*g - l = -27*g. Calculate the smallest common multiple of 30 and g. 30 Let c = 995 - 960. What is the least common multiple of 84 and c? 420 Calculate the least common multiple of 266 and (7 - 23589/(-45)) + (-12)/(-15). 532 Let o be 13/5*(7 - -3). Suppose 3*n = -4*s + o - 180, 0 = -4*s + 5*n - 170. Let q = 54 + s. Calculate the least common multiple of 4 and q. 28 Calculate the smallest common multiple of 348 and ((336/(-18))/7)/(24/(-108)). 348 Suppose 2*j - 7 = -m, 3*m - 24*j + 19*j + 1 = 0. What is the lowest common multiple of m and 8468? 25404 Let n = 5/123042032 - -3153567272495/188623435056. Let y = -117/7 + n. Calculate the common denominator of y and -48/11. 2409 Find the common denominator of 3 - (-5 + 122/14) and -34/239. 1673 Let p = -6/1283 + 10438/37207. Let b = 1594 - 14348/9. Calculate the common denominator of b and p. 261 Suppose -2*z - 50 = 2*v - 54, 4*z = 3*v - 41. What is the smallest common multiple of v and 91? 91 Suppose 0 = -4*q - 3*j + 185, -16*q + 18*q + 4*j - 100 = 0. Calculate the least common multiple of (-1087)/(-11) - (-10)/55 and q. 396 Suppose d - 7 = 2. Calculate the lowest common multiple of d/6*8/12 and 50/(-325) + (-184)/(-13) + 0. 14 Let w be (-210)/126*6/(-1). Suppose w*o + 11 = 211. Calculate the smallest common multiple of o and 108. 540 Let v be (-4)/(-50)*(1137/(-6) - 5). Let d = v - -18814/1275. Find the common denominator of d and -62/5. 255 Suppose -4*k + k - 5*c + 21 = 0, -12 = -4*c. Suppose 5*q - k - 38 = 0. Calculate the common denominator of (q - 8) + (-5)/3 and -2/21. 21 Let j = -85195859/416 + 204798. What is the common denominator of j and -103/40? 2080 Calculate the common denominator of -8 + 10/8 + 1426725/211200 and 91/2816. 2816 Suppose -71*j + 76*j - 85 = -5*a, 0 = 5*j + 4*a - 86. Let m = -26 - -62. What is the lowest common multiple of m and j? 36 Suppose 84*l = 82*l - 2284. Let a = l - -37721/33. What is the common denominator of 61/3 and a? 33 Suppose r = 0, -3*v - 5*r + 75 = 2*v. Let k(p) = -34 - 42 + 7*p - 2 + p. Calculate the least common multiple of k(11) and v. 30 Suppose 3*n - 1 = 14. Suppose 0 = 3*g + 3*d - 27, -3*g - g = -n*d - 9. What is the least common multiple of 8 - -15 - (5 + 5) and g? 78 Let n = -88/5 + 979/90. What is the common denominator of -31/27 and n? 54 Suppose 4*l = -q + 484, 2*l + 134 = -2*q + 388. What is the lowest common multiple of 49 and l? 833 What is the common denominator of 41/10 and 217/(-300) + (-29)/435? 100 Let m(g) = g**3 - 15*g + 14. What is the lowest common multiple of m(7) and 594? 8316 Suppose 32*r + 240 = 36*r. Suppose 5*f - 46 = -v - 3*v, 0 = -3*v - 4*f + 35. What is the smallest common multiple of (18/10)/(v/r) and 6? 12 Let o(f) = 5*f**3 - 2*f**2 + f. Let p be o(1). Suppose -26 = -2*g + 3*j, -10 = p*j + j. Calculate the smallest common multiple of g and 6. 30 Suppose -10*b = 2*b. Suppose b = 8*c - 58 - 102. Calculate the lowest common multiple of c and 18. 180 Let p(n) = 9*n - 117. Let l be p(-8). Calculate the smallest common multiple of 44 and (-42)/l + (-750)/(-27). 308 Let q(d) = 7*d**2 + 11*d + 49. Let s be q(-5). Suppose 47*h + 341 = 4*t + 52*h, -2*t - h + s = 0. What is the lowest common multiple of 84 and t? 84 Suppose 5*m - 20*j + 16*j = 17544, -4*m + 14033 = -j. Calculate the least common multiple of m and 14. 24556 Let y be 6/(-8) - (-7)/4. Suppose 0*t = 5*b - 4*t - 28, -5*b + 37 = -t. Calculate the smallest common multiple of 3*y + 2 + 1 + 5 and b. 88 Suppose -2*b + 824 = 5*i, 5*b - 345 - 138 = -3*i. What is the least common multiple of i and 1162? 1162 Let s = -202 - -236. Suppose 0 = 6*f - s - 26. What is the smallest common multiple of 2 and f? 10 Let p(o) = -25*o**3 + 2*o**2 + 5*o + 10. Let v = 6 + -9. Let y be p(v). Calculate the common denominator of 83/82 and 2/(-4)*y/(-144). 738 Find the common denominator of 127/6 and (-160)/50 - -3 - (-4 - 83262/(-21915)). 2922 Suppose -4*j = 5*b - 271, 2*b + 3*j = 7*b - 243. Let o = b - 47. What is the common denominator of -49/3 and -4 - (o - 183/27)? 9 Let x = 830 - 270. Suppose -7*f + 0*f = -x. What is the lowest common multiple of 16 and f? 80 Suppose -2*j + 207 = -4*l - 41, -5*l + 5 = 0. Let s = 123 - j. Find the common denominator of 101/4 and 1 - (26/4 + s). 4 Suppose 0 = s - 5*s + 64. What is the common denominator of 3036/132 + 182/(-8) and -73*(0 - (-2)/s)? 8 Suppose -m + 272 = -47. Let y = 1855/6 - m. Let f = -177 + 1027/6. What is the common denominator of f and y? 6 Let x(c) = 29*c**2 - c. Let w = 6200 - 6195. What is the least common multiple of x(-1) and w? 30 Suppose 6 = 4*d - 230. Let q = 54 - -45. Let g = q - d. What is the least common multiple of 2 and g? 40 What is the common denominator of -51/182 and -14 + 13 + -2 - 4014/(-1428)? 3094 Suppose 65 + 109 = 3*f + 2*b, -3*f - 3*b = -177. What is the smallest common multiple of f and 476? 952 Let m = -23 - -26. Let z be (m - 188/20)/(4/(-30)). Calculate the common denominator of (-340)/z + 1/4 and -91/4. 12 Find the common denominator of -7/25 and 12 + (-780)/66 + 1823/(-9240). 4200 Suppose 11*b = 4*f + 7*b - 1184, -5*f + 1480 = 3*b. Calculate the smallest common multiple of 8 and f. 296 Let c(m) = m**2 + 4*m - 30. Let j be (-3)/2*(-9)/(-9)*-4. What is the smallest common multiple of 15 and c(j)? 30 Let w(k) = -167*k + 11. Let j be w(17). Let s = j + 39625/14. Let z = 6343 - 88859/14. Calculate the common denominator of s and z. 14 Let h(w) = -w**3 + 7*w**2 - 3*w. Let f = 6 - 0. What is the least common multiple of h(f) and (-4 - -3)/(((-310)/(-690))/(-31))? 414 Let v = -75 - -106. Let p = 40 - v. Calculate the lowest common multiple of p and 6*1 + 0 - 2. 36 Suppose 2*n + 3*z = -14 + 15, -3*n - 2*z + 4 = 0. Let b = 1015073/333322 + 2/15151. Calculate the common denominator of n - (6162/108)/(-13) and b. 198 Let l = 14892 + -31541171/2118. Find the common denominator of -107/10 and l. 10590 Let n(u) = 2*u**2 - 1. Let v(m) = 2*m**3 - 7*m**2 + 6*m - 28. Let b(q) = 3*n(q) + v(q). What is the smallest common multiple of 75 and b(4)? 525 Let w = 125 - 125. Calculate the lowest common multiple of 1*(w + 4) + 6 and 5. 10 Let r = -2225059/40301888 - -5/27379. Find the common denominator of 19/144 and r. 13248 Let i(a) = a**3 - 6*a**2 + 6*a - 6. Let l be i(5). Let p = -2/67 + 81/469. Find the common denominator of p and 1 - l - 329/84*3. 28 Suppose 14 = v - 3*d, 180*v - 181*v + 4*d = -14. What is the least common multiple of (-1 - -2)*-2 - -196 and v? 1358 Suppose 12*t - 3642 = 734 + 5632. What is the lowest common multiple of t and 60? 8340 Let d = 80534915546 - 5664825959080123/70340. Let t = 2/3517 + d. Find the common denominator of ((-12)/9)/(20/138) and t. 20 Let z be 1/(5/15) + -12. Let s be 574/5 - (z/(-15))/(-3). What is the common denominator of 80*(4 + s/(-30)) and 18/65? 195 Let u be 964/220 - (-1 - 0). Let b = 3/440 - u. Let r = -36397/13780 - 6/689. What is the common denominator of b and r? 40 Find the common denominator of ((-1)/(-22))/((-18)/(-306)) and 3/((-2640)/(-1256)) - (-12)/(-10). 22 Suppose 2*f + 5*b + 43 = -0*f, 5*f + 4*b + 116 = 0. Let g(a) = 1243*
{ "pile_set_name": "DM Mathematics" }
+ 226*j**2 + 200*j - 652*j**4 + 710*j**3 = 0. Calculate j. -2/5, -2/7, 0, 5 Let z = -9314564204/5338539 + -1/593171. Let r = z + 1745. Factor -4/9 - r*d**2 + 2/3*d. -2*(d - 2)*(d - 1)/9 Let u(n) be the third derivative of n**8/1680 + 17*n**7/1050 + 19*n**6/120 + 7*n**5/12 - 1424*n**2. Suppose u(a) = 0. Calculate a. -7, -5, 0 Let k(u) be the first derivative of -1/15*u**5 - 2/3*u**3 - 12 + 2/3*u**2 + 1/3*u**4 - 15*u. Let m(d) be the first derivative of k(d). Factor m(w). -4*(w - 1)**3/3 Let k(m) be the first derivative of 5/4*m**4 - 5/2*m**2 - 95 - 10/3*m**3 + 10*m. What is p in k(p) = 0? -1, 1, 2 Let q = 279 + -223. Let o be (-8)/q - 5/((-420)/488). Solve -2 - 5/3*k**2 + o*k = 0 for k. 2/5, 3 Let i be (70/189)/(36/5184). Factor -4/3*g**2 - 164/3*g - i. -4*(g + 1)*(g + 40)/3 Let p(j) be the second derivative of 1/48*j**5 - 22*j**2 + 1/480*j**6 + 0 + 1/24*j**4 + 22*j + 0*j**3. Let d(l) be the first derivative of p(l). Factor d(y). y*(y + 1)*(y + 4)/4 Suppose 12 = -18*c + 48. Factor -10*m - c*m**2 - 19*m - 28 + m**2. -(m + 1)*(m + 28) Suppose 434*o - 2322 = 13*o - 367*o + 14*o. Solve -3*w**4 - 19/3*w**o + 7/3*w**5 - 8*w + 41/3*w**2 + 4/3 = 0 for w. -2, 2/7, 1 Let y be 132/264 + (13/10 - (-8)/40). Factor 0*b - 3/4*b**4 + 3/4*b**3 + 0*b**y + 0. -3*b**3*(b - 1)/4 Suppose 3*z + 2 = 14. Solve 1 - z*j + 16*j**2 - 1 - 2 - 18*j**2 = 0. -1 Let j = 1568 + -1554. Suppose j = 2*b - 5*f, 5 = -5*f - 5. Factor -2/3 + 26/9*a**b + 4/3*a**3 - 32/9*a. 2*(a - 1)*(a + 3)*(6*a + 1)/9 Let p(x) be the second derivative of x**4/96 - 403*x**3/48 + 2394*x. Factor p(m). m*(m - 403)/8 Let v(y) be the second derivative of -1/12*y**3 - 1/48*y**4 + 31*y - 1/8*y**2 + 0. Factor v(t). -(t + 1)**2/4 Suppose 232*j = 91*j + 15087. Let d(x) = -x - 4. Let r be d(-6). Factor -3*t**3 - 9*t**r - j*t + 107*t. -3*t**2*(t + 3) Let z = 11/692 + 3261989/6228. Let n = 524 - z. Find x, given that n*x**2 + 4/3 + 10/9*x = 0. -3, -2 Let k(b) be the second derivative of b**5/40 - 155*b**4/2 + 96100*b**3 - 59582000*b**2 + 345*b - 1. Find m, given that k(m) = 0. 620 Let x(p) be the first derivative of 2*p**3/21 + 1098*p**2/7 + 602802*p/7 + 619. Factor x(b). 2*(b + 549)**2/7 Suppose 52 = -4*y + 64. Factor -27 + 3*h + 5*h + 35 - 4*h**y - 3*h**3 - 2*h**2 + 5*h**3. -2*(h - 2)*(h + 1)*(h + 2) Determine m so that 6 + 1/4*m**4 + 13/4*m**3 + 59/4*m + 47/4*m**2 = 0. -8, -3, -1 Let i(f) be the first derivative of -5*f**6/12 - 21*f**5/2 + 185*f**4/4 + 30*f**3 - 350*f**2 + 480*f + 1500. Solve i(r) = 0 for r. -24, -2, 1, 2 Let l(t) = -3*t**2 + 29*t - 16. Let b(a) = -3*a**2 + 28*a - 17. Let p = 201 + -197. Let k(c) = p*l(c) - 5*b(c). Factor k(q). 3*(q - 7)*(q - 1) Let g(f) be the second derivative of 0 + 1/240*f**5 + 0*f**3 + 12*f - 15/2*f**2 + 1/96*f**4. Let k(o) be the first derivative of g(o). Factor k(m). m*(m + 1)/4 Suppose 98*i = 76*i + 110. Let g(l) be the second derivative of -1/10*l**6 + 3*l**2 + 0 - 3*l + 9/20*l**i - 1/4*l**4 - 3/2*l**3. Factor g(v). -3*(v - 2)*(v - 1)**2*(v + 1) Factor 4671*t**2 - 429*t**3 - 86*t**3 - 35*t**4 - 6411*t**2 + 540*t. -5*t*(t + 6)*(t + 9)*(7*t - 2) Let a(i) be the first derivative of -i**7/840 + 23*i**6/360 + i**3/3 - 9*i**2 + 62. Let h(g) be the third derivative of a(g). Factor h(d). -d**2*(d - 23) Find b such that 244/5*b + 113*b**2 + 233/5*b**3 - 20 + 12/5*b**4 = 0. -50/3, -2, -1, 1/4 Let u(k) = 56*k**3 + 6194*k**2 + 3097*k + 391. Let b(c) = 60*c**3 + 6195*c**2 + 3095*c + 390. Let g(s) = 6*b(s) - 5*u(s). Factor g(i). 5*(i + 77)*(4*i + 1)**2 Let z = 4633/4 - 1158. Let i(q) be the third derivative of 0*q - z*q**4 - 4/9*q**3 - 1/180*q**6 - 1/15*q**5 - 21*q**2 + 0. Factor i(v). -2*(v + 1)**2*(v + 4)/3 Let z(s) = 13*s - 232. Let k be z(18). Factor -44*a - 21 - 69 + 4*a**k - 54 + 7*a - 27*a. 4*(a - 18)*(a + 2) Factor 3/4*f**3 + 336 + 675/2*f**2 + 2691/4*f. 3*(f + 1)**2*(f + 448)/4 Let k = -21459 - -85837/4. Factor -20 - 14*f - 13/4*f**2 - k*f**3. -(f + 4)**2*(f + 5)/4 Let s(g) be the third derivative of -18*g**7/175 - 9*g**6/200 + 87*g**5/25 + 238*g**4/15 + 32*g**3 + 595*g**2. Determine w so that s(w) = 0. -4/3, 15/4 Suppose s + 3 = -5*r, -r - 7 = s - 8. Let 41 + 47 + 24 - 2*u**2 - u**s - 37 = 0. Calculate u. -5, 5 Let t(k) = 5*k - 8. Let b be t(2). Find a such that -18*a - a**2 - a**2 - 2*a**b - 66*a = 0. -21, 0 Suppose -19*f = 3*f - 44. Find i, given that 3*i**f + 14*i - i**2 + 27*i - 51*i = 0. 0, 5 Let r be (-440)/(-160) + 377/29. Let 21/4*f**4 - r*f**2 - 6*f - 3/2*f**3 + 3 = 0. Calculate f. -1, 2/7, 2 Let m(g) be the first derivative of -86 + 4*g**4 + 0*g + 1/5*g**5 + 29/3*g**3 + 7*g**2. Solve m(i) = 0 for i. -14, -1, 0 Let m = 535 + -534. Let f be (1 - (-66)/(-18))*m/(-12). Factor f*u**2 + 0 - 4/9*u. 2*u*(u - 2)/9 Let q(z) be the third derivative of 1/210*z**5 + 0*z**4 + 0*z**3 + 0*z + 0 - 135*z**2 - 1/420*z**6. Factor q(i). -2*i**2*(i - 1)/7 Let v(u) be the second derivative of 3*u + 43 + 3/80*u**5 - 39/8*u**3 + 9/8*u**4 + 15/2*u**2. Factor v(n). 3*(n - 1)**2*(n + 20)/4 Let w(p) = -6*p**3 - 153*p**2 - 36*p + 105. Let q(i) = -3*i**3 - 82*i**2 - 18*i + 53. Let u(k) = 9*q(k) - 5*w(k). Factor u(l). 3*(l - 1)*(l + 2)*(l + 8) Suppose -852/5*t + 3/5*t**2 + 60492/5 = 0. What is t? 142 Let j = -16 + 30. Let i be j/10 - 1 - 36/(-10). Factor 2*g**3 + 3*g**3 + 20*g**4 - 25*g**i + 10*g**2. -5*g**2*(g - 2)*(g + 1) Let f(h) be the first derivative of h**4/16 + 7*h**3/6 - 69*h**2/8 + 27*h/2 - 1551. Factor f(n). (n - 3)*(n - 1)*(n + 18)/4 Let b(n) = -n**3 + 12*n**2 - 21*n - 12. Let q be b(9). Suppose -60 + q = -6*c. What is l in 5*l**2 - 4*l**3 - l**3 + 4*l**c - 10*l + 6*l**3 = 0? -2, 0, 1 Let r be (-5)/(75/312)*(-16 - (-682)/44). Let -28/5 - 6/5*a**3 - r*a**2 - 74/5*a = 0. Calculate a. -7, -1, -2/3 Let i(u) = -6*u + 92. Let k be i(15). Suppose 17 = h - 2*y, -3*h = 4*y - 2*y - 27. Solve b + 9*b - b**k - h*b - 2 + 2*b**2 = 0. -1, 2 Factor 2566*n**2 - 823 - 2049 + 5011*n - 711*n + 20*n**3 + 4626*n**2. 4*(n + 1)*(n + 359)*(5*n - 2) Let n = -3/11969 - -275296/35907. Factor n*j - 529/6*j**2 - 1/6. -(23*j - 1)**2/6 Find s such that -10*s - 26*s + 852*s**2 - 864*s**2 - 3*s**3 + 6*s**3 = 0. -2, 0, 6 Suppose -117/4*z + 0*z**2 + 3/4*z**3 + 105/2 = 0. Calculate z. -7, 2, 5 Suppose 0 = 16*t - 1976 + 312. Factor 17*a - a**3 + t*a**2 + 3*a - 3*a**3 - 96*a**2 - 24. -4*(a - 3)*(a - 1)*(a + 2) Suppose 0*x + 15*x - 12*x = 88*x. Factor -1/3*b**3 + b**2 + x + 4/3*b. -b*(b - 4)*(b + 1)/3 Let p(j) = -7*j**4 - 45*j**3 - 639*j**2 - 2368*j + 7683. Let d(n) = 16*n**4 + 90*n**3 + 1277*n**2 + 4736*n - 15367. Let x(r) = 3*d(r) + 7*p(r). Solve x(k) = 0. -16, -15, 2 Let x = 66 - 9. Suppose 42*j = 39*j + x. Factor 10*b - j*b + 6 + 13*b - 2*b**2. -2*(b - 3)*(b + 1) Let n be (635/20)/((1/4)/(-1)). Let h = n - -130. Solve 1331 + 1058*a - a**h - 1421*a + 0*a**3 + 33*a**2 = 0. 11 Let z(a) = a**2 + 15*a + 9. Suppose -8*u = -10*u - 30. Let k be z(u). What is m in -3*m**5 - 2*m**3 - 8*m**4 + 8*m**5 - k*m**5 - m**4 = 0? -2, -1/4, 0 Determine q so that -45*q**3 + 4*q**4 - 24200 - 9492*q - 6*q**4 - 111000 - 3218*q**2 - 24828*q - 87*q**3 = 0. -20, -13 Determine i, given that 30 - 59/4*i**2 + 31/2*i - 1/4*i**3 = 0. -60, -1, 2 Suppose 3*m = 4940 - 4940. Let i(y) be the first derivative of 1/7*y**2 + 15 + m*y - 1/14*y**4 + 0*y**3. Let i(u) = 0. What is u? -1, 0, 1 Factor 6/7*l**2 - 8/7*l + 2/7*l**3 - 24/7. 2*(l - 2)*(l + 2)*(l + 3)/7 Let u(c) be the second derivative of -81*c**5/20 - 15*c**4/2 - 25*c**3/6 - 1194*c. Factor u(h). -h*(9*h + 5)**2 Let f(d) be the third derivative of -d**6/480 - 3*d**5/80 - 5*d**4/24 + 70*d**2 - 12*d. Find g such that f(g) = 0. -5, -4, 0 Determine g so that -124*g**3 + 44*g**5 - 95*g - 3 + 6 - 37*g**4 + 244*g**2 - 33*g - 15*g**4 + 13 = 0. -2, 2/11, 1 Let h(d) = -8*d**4 - 525*d**3 + 886*d**2 - 179*d - 153. Let l(u) = -5*u**4 - 262*u**3 + 444*u**2 - 90*u - 75. Let s(b) = -4*h(b) + 7*l(b). Solve s(w) = 0 for w. -1/3, 1, 87 Suppose -5*r + 4*r - 2 = 4*k, -82 = -5*r + 3*k. Let w be (r/6)/((-2)/(-6)). Factor 27*a - 2*a**2 - 17 - w*a - 12 - 21. -2*(a - 5)**2 Let z(n) be the first derivative of n**3/12 - 191*n**2/8 + 1049. Factor z(u). u*(u - 191)/4 Let u(s) = -4*s**3 - 162*s**2 - 80*s + 3. Let p be u(-40). Factor 0 + i - 2/3*i**2 - 1/3*i**p. -i*(i - 1)*(i + 3)/3 Let f be (-34386)/165*25/4. Let y = 1303 + f. F
{ "pile_set_name": "DM Mathematics" }
14711 What is 55064415 to the power of 1/2, to the nearest integer? 7421 What is 363630201 to the power of 1/3, to the nearest integer? 714 What is 1334422947 to the power of 1/10, to the nearest integer? 8 What is 15634466 to the power of 1/2, to the nearest integer? 3954 What is the square root of 54661118 to the nearest integer? 7393 What is 31485006 to the power of 1/3, to the nearest integer? 316 What is the seventh root of 28402946 to the nearest integer? 12 What is 2122410461 to the power of 1/2, to the nearest integer? 46070 What is the cube root of 3132473028 to the nearest integer? 1463 What is 101276967 to the power of 1/5, to the nearest integer? 40 What is the square root of 60763839 to the nearest integer? 7795 What is the tenth root of 240019916 to the nearest integer? 7 What is the fifth root of 192331233 to the nearest integer? 45 What is 780694640 to the power of 1/6, to the nearest integer? 30 What is 358846 to the power of 1/8, to the nearest integer? 5 What is the ninth root of 36650539 to the nearest integer? 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32 What is the seventh root of 78555263 to the nearest integer? 13 What is the fourth root of 378151073 to the nearest integer? 139 What is 653341378 to the power of 1/3, to the nearest integer? 868 What is the ninth root of 24150867 to the nearest integer? 7 What is the square root of 335007175 to the nearest integer? 18303 What is 213440666 to the power of 1/3, to the nearest integer? 598 What is the tenth root of 32359122 to the nearest integer? 6 What is the cube root of 1481052068 to the nearest integer? 1140 What is the fourth root of 183907716 to the nearest integer? 116 What is 788198074 to the power of 1/2, to the nearest integer? 28075 What is the square root of 83842234 to the nearest integer? 9157 What is the fifth root of 404998498 to the nearest integer? 53 What is 2353816195 to the power of 1/3, to the nearest integer? 1330 What is 126229435 to the power of 1/3, to the nearest integer? 502 What is the square root of 8447527309 to the nearest integer? 91910 What is 5900009875 to the power of 1/8, to the nearest integer? 17 What is the cube root of 80914591 to the nearest integer? 433 What is the ninth root of 1279017045 to the nearest integer? 10 What is 8382322 to the power of 1/2, to the nearest integer? 2895 What is the square root of 2956050583 to the nearest integer? 54370 What is the sixth root of 161158372 to the nearest integer? 23 What is 31651593 to the power of 1/5, to the nearest integer? 32 What is 1608690736 to the power of 1/3, to the nearest integer? 1172 What is 544615708 to the power of 1/7, to the nearest integer? 18 What is the eighth root of 36015169 to the nearest integer? 9 What is the cube root of 196567436 to the nearest integer? 581 What is 9893074 to the power of 1/8, to the nearest integer? 7 What is the square root of 149210374 to the nearest integer? 12215 What is 124903278 to the power of 1/3, to the
{ "pile_set_name": "DM Mathematics" }
et x(s) = s**2 + 23*s + 98. Let l be x(-6). Let g(f) = -2*f. Let k(h) = h + 1. What is l*g(b) - 2*k(b)? 6*b - 2 Let z(d) = -87*d**3 + 5*d + 2. Let s(i) = -87*i**3 + 6*i + 3. What is 5*s(a) - 6*z(a)? 87*a**3 + 3 Let y(k) = 3*k - 1. Let f(n) = -1. Suppose -8*d + 13*d = 4*b + 1, 0 = 3*b - 5*d + 2. What is b*y(u) - f(u)? 3*u Let f(q) be the third derivative of 1/12*q**5 - 5/24*q**4 + 0 + 0*q + 10*q**2 - q**3. Let y(t) = t**2 - t - 1 + 0 + 0. What is -f(i) + 6*y(i)? i**2 - i Let q(b) = -b**2 - b + 1. Suppose -49*j - 144 = -67*j. Let i(k) = 4*k**2 + 8*k - 8. Determine j*q(h) + i(h). -4*h**2 Let n(w) = -894*w**2 - 4*w. Let u(a) = -896*a**2 - 5*a. What is -5*n(r) + 4*u(r)? 886*r**2 Let d(v) = -25*v**3 + 1. Let f(c) = c**3. Calculate -2*d(k) - 14*f(k). 36*k**3 - 2 Let m(o) = 9*o**3 - 6*o**2 - 6*o + 3. Let q(r) = 8*r**3 - 5*r**2 - 5*r + 4. Calculate 5*m(w) - 6*q(w). -3*w**3 - 9 Let y(w) = 8*w + w + w**3 - 3*w - 5*w. Let x(k) = -2*k**3 - 3*k - 2. Determine x(m) + 3*y(m). m**3 - 2 Let n(o) = o**3 + 34*o**2. Let w(i) = 34*i**2. What is -3*n(q) + 2*w(q)? -3*q**3 - 34*q**2 Let u(m) = 5 - 2*m + m - 15*m. Let s(b) = 3*b - 1. Let p(g) = 11*s(g) + 2*u(g). Let l(c) = -2*c + 3. Calculate -l(w) - 4*p(w). -2*w + 1 Let w(l) = -22*l**3 + 5*l**2 - 26*l - 17. Let b(o) = -14*o**3 + 3*o**2 - 17*o - 11. What is -8*b(d) + 5*w(d)? 2*d**3 + d**2 + 6*d + 3 Let i(u) = -u - 1. Suppose -3*l = -m + 23, 4*m - 84 = -4*l - 8. Suppose -2*b + 7*b = m. Let s(d) = 10*d - 4*d - b*d + 1. What is 6*i(t) + 4*s(t)? 2*t - 2 Let y(a) = -3*a**2 - 5*a - 28. Let h(s) = -4*s**2 - 7*s - 29. Determine -4*h(u) + 5*y(u). u**2 + 3*u - 24 Let a(r) = -r**2 - r - 2. Let p(n) = -192*n**3 - 3*n**2 - 2*n - 8. What is 3*a(k) - p(k)? 192*k**3 - k + 2 Let j = -433 + 427. Let s(g) = 8*g**3 - 6. Let d(k) = -23*k**3 + 17. Give j*d(x) - 17*s(x). 2*x**3 Let q(m) = -7*m - 3. Let d(s) = 85*s + 98*s - 26 - 245*s. Give 6*d(l) - 52*q(l). -8*l Let g(d) = 496*d**3 + 2 - 248*d**3 - 247*d**3 - 2 - d - d**2. Let b(p) = -2*p**3 + 7*p**2 + p. Calculate -b(j) - 4*g(j). -2*j**3 - 3*j**2 + 3*j Suppose 8*d + 9 + 23 = 0. Let o(q) = -3*q + 2. Let c(f) = -f + 1. Calculate d*c(u) + o(u). u - 2 Let j(y) = 9*y**2 + 9*y + 36. Let h(g) = 4*g**2 + 4*g + 18. What is 13*h(m) - 6*j(m)? -2*m**2 - 2*m + 18 Let s(z) = -11*z**3 + 16*z**2 + 3*z + 6. Let x(k) = -5*k**3 + 7*k**2 + k + 3. Let m(a) = 4*s(a) - 9*x(a). Let c(v) = -2*v + 2. What is -3*c(u) - 2*m(u)? -2*u**3 - 2*u**2 Let g(z) = -135048*z**3 - 1326. Let h(w) = -408*w**3 - 4. Determine -2*g(c) + 663*h(c). -408*c**3 Let x(c) = c**3 + c**2 + c + 1. Suppose -a = -4*h + 67, -2*a - 2*h - 184 = -20. Let o = 80 + a. Let m(r) = 10*r**3 + 5*r**2 + 5*r + 5. What is o*m(v) - 5*x(v)? 5*v**3 Let x(l) = l - 2. Let o(p) = -28*p + 36. What is o(w) + 24*x(w)? -4*w - 12 Let n = 2250 + -2253. Let o(i) = i**3 + i**2 - i + 2. Let r(k) = 2*k**2 - k + 3. Give n*o(w) + 2*r(w). -3*w**3 + w**2 + w Suppose -17*r + 21*r - 61 = 5*q, q + 29 = 2*r. Let o(m) = -3*m - 7. Let p(x) = 1. Give r*p(g) + 2*o(g). -6*g Let j(u) = -u. Let w(y) = -72*y. Determine -4*j(n) + 4*w(n). -284*n Let a(i) = -3*i**3 - i**2 + 2*i + 2. Let j(m) = 6*m**3 + 2*m**2 - 4*m - 3. What is 5*a(k) + 3*j(k)? 3*k**3 + k**2 - 2*k + 1 Let s(h) = h**2 - 3*h - 3. Let t = 0 + -3. Let p = 811 - 809. Let d(y) = -3 - y - y + y**2 + 1. What is p*s(o) + t*d(o)? -o**2 Let q(d) = -3*d + 1. Let h(m) = -3*m + 49. Let t(f) = 2*f - 35. Let c(j) = 5*h(j) + 7*t(j). Let z = 3 + -2. Give z*q(b) - 2*c(b). -b + 1 Let r(f) = -86*f**2 - 2*f + 1. Let l(s) = -s**2 + s - 1. What is 2*l(u) + 2*r(u)? -174*u**2 - 2*u Let n(g) = -2*g + 2. Let a(d) = -108*d - 3. What is -a(v) - 3*n(v)? 114*v - 3 Let y(q) = 8*q**2 + 6*q + 5. Let v(h) = 24*h**2 + 19*h + 17. Calculate -2*v(a) + 7*y(a). 8*a**2 + 4*a + 1 Let p(n) = -4*n**3 + 6*n**2 + 5*n + 20. Let s(l) = 11*l**3 - 17*l**2 - 14*l - 58. Give -17*p(m) - 6*s(m). 2*m**3 - m + 8 Let l(q) = 255*q - 250*q + 4*q**2 - 7*q**2. Let p(k) = -2*k**2 + 4*k. What is 5*l(x) - 6*p(x)? -3*x**2 + x Let g(l) = -36*l**2 - 25028*l + 28 + 25028*l. Let h(j) = -15*j - 2. Let b be h(-2). Let o(w) = -4*w**2 + 3. What is b*o(s) - 3*g(s)? -4*s**2 Let r(t) = 5*t + 7. Let g = 1716 - 1702. Let i(w) = 2*w + 3. Suppose 0 = 3*y + 18. What is g*i(v) + y*r(v)? -2*v Let a(v) = 2*v**2 - 3*v. Let m be ((-17)/(-51))/(1/9). Let u(y) = 104*y - 105*y - 2*y**2 - 4*y**2 + 7*y**2. Give m*u(j) - a(j). j**2 Suppose 2*n + 19 - 1 = -2*x, 4*x = -3*n - 29. Let o(l) = -9*l - 1. Let j be (-3 + 2)*-1 - 4. Let c(y) = 4*y. Calculate j*o(p) + n*c(p). -p + 3 Let x be 8 - 4/(-8)*2. Let w = x + -6. Let a(t) = 2*t - 2*t**3 - 5*t**2 - 9*t - 6 + w*t. Let s(j) = 2*j**3 + 4*j**2 + 3*j + 5. Calculate -4*a(l) - 5*s(l). -2*l**3 + l - 1 Let k(l) = 3*l + 9474 + 9477 - 18948. Let w(z) = -6*z - 5. Let s(a) = -a - 2. Let h be s(-5). Suppose 2*y - 13 = -d, h*y - 2 = d + 2*y. Give d*w(g) + 5*k(g). -3*g Let j(p) = -3*p - 2. Let a(i) = -i - 1. Let t(o) = -o**3 + 3*o + 3. Let z(q) = 2*a(q) + t(q). Let b = 64 - 59. Suppose 11*s = 16*s - b. What is s*z(d) + j(d)? -d**3 - 2*d - 1 Let s(b) = -19*b + 44*b**3 - 7*b**3 - 23*b**3 + 14*b**2 - 26 + 2*b. Let t(y) = 5*y**3 + 5*y**2 - 6*y - 9. Calculate -6*s(v) + 17*t(v). v**3 + v**2 + 3 Let q(f) = f + 4. Let j(x) = -x - 81. Determine -j(o) + q(o). 2*o + 85 Let s(n) = -4*n + 6. Let m(x) = -7*x + 1. Let o(k) = 17*k - 2. Let c(w) = -5*m(w) - 2*o(w). Give -5*c(r) - s(r). -r - 1 Let x = -439 + 435. Let b(u) = 4*u**2 + 4*u - 4. Let k(j) = -3*j**2 - 5*j + 5. Determine x*k(v) - 5*b(v). -8*v**2 Let a(y) = -572*y + 8. Let b(g) = 382*g - 6. Determine 5*a(o) + 7*b(o). -186*o - 2 Let u(z) = -11*z**3 + 6*z**2 - 6*z - 6. Let c(v) be the first derivative of -5*v**4/2 + 5*v**3/3 - 5*v**2/2 - 5*v + 14. What is -6*c(l) + 5*u(l)? 5*l**3 Let q(i) = 15. Let w be 65/7 + -9*(-6)/(-189). Let a(d) = -d + 60. Determine w*q(m) - 2*a(m). 2*m + 15 Let o = 3 - 9. Let z(v) = 29 - 126 + 31 + 30 + 31 - 2*v. Let q(t) = 2*t + 4. Determine o*q(c) - 5*z(c). -2*c + 1 Let n(s) = -1. Let l(o) be the first derivative of -o**2 + 6*o - 16. Suppose 0 = 3*m + 4*v + 8, 4*m = -4*v - 6 + 2. Determine m*n(u) + l(u). -2*u + 2 Let x(q) = -5*q + 2. Let a(c) = -14*c - 3. Let w(o) = 19*o + 3. Let s(z) = -5*a(z) - 4*w(z). Determine 6*s(v) - 9*x(v). 9*v Let b = -1764 + 1770. Let m(d) = 7*d - 5. Let x(l) = l**3 + 5*l**2 + 2*l - 3. Let c be x(-4). Let u(r) = -6*r + 4. Determine b*u(s) + c*m(s). -s - 1 Let v(d) = 2*d + 1. Let m(r) = -7*r - 9. What is m(i) + 4*v(i)? i - 5 Let n(i) = 5*i**3 + 30*i**2 + 2*i + 3. Let v(o) = 18*o**3 + 121*o**2 + 7*o + 11. Determine -22*n(c) + 6*v(c). -2*c**3 + 66*c**2 - 2*c Let g(w) = 6*w**2 - 28. Let p(q) = 7*q**2 - 29. What is 5*g(o) - 6*p(o)? -12*o**2 + 34 Let l(d) = 2*d + 8. Let x(v) = 4*v + 17. Let f(i) = -7*l(i) + 3*x(i). Let h(m) = 2*m + 4. Determine -3*f(k) - 2*h(k). 2*k + 7 Let h(g) = -g**2 - 4. Suppose 57 = 5*d + 2*y, -3 = 3*y - 6. Suppose -2*m - c + d = -m, 0 = 4*c - 16. Let b(w) = 2*w**2 + 7. Give m*h(p) + 4*b(p). p**2 Let b(m) = 14*m**3 + 2*m**2 - 12*m + 13. Let c(q) = 7*q**3 + q**2 - 6*q + 8. What is 3*b(x) - 5*c(x)? 7*x**3 + x**2 - 6*x - 1 Let d(s) = -52*s**2 + 3*s. Let w(y) = -154*y**2 + 10*y. What is -7*d(q) + 2*w(q)? 56*q**2 - q Let f(c) = 43*c - 94. Let r(h) = 15*h - 32. What is -6*f(a) + 17*r(a)? -3*a + 20 Let v(y) = 4*y**3 + 19*y**2 + 5*y - 1. Let g(l) = -l**3 + l**2 - l. What is -10*g(c) - 2*v(c)? 2*c**3 - 48*c**2 + 2 Let c(r) = -r**2 + 8*r - 29. Let i(m) = -m - 1. Calculate -2*c(l) - 18*i(l). 2*l**2 + 2*l + 76 Let f(k) = -3*k**3 + k - 1. Let b(p) = -4*p**3 + p**2 + 82*p - 1. Calculate -b(v) + f(v). v**3 - v**2 - 81*v Let x be (-2)/(-2 - (-40)/22). Let w(j) = -j**2 - 5. Let d(q) = 467 - 118 - 120 - 117 - 113. Determine x*d(r) - 2*w(r). 2*r**2 - 1 Let f(t) = 1. Let m(y) = -y**3 - 3*y + 4. Let u = 125 + -126. What is u*m(j) + 4*f(j)? j**3 + 3*j Let s(j) = 6*j + 10 + j**3 + 0*j - 2*j**3 - 2. Let v(n) = n + 15. Let t be v(-9). Let y(w) = 2*w + 3*w + 7 + 0*w**3 - w**3. What is t*y(a) - 5*s(a)? -a**3 + 2 Let w(l) = -l**2 + l + 1. Suppose 27 = 533*y - 524*y. Let j(r) = r**2 - 2*r - 2. Determine y*j(k) + 5*w(k). -2*k**2 - k - 1 Let l(m) = 7*m**2 + 1 + 6*m + 5 + 0*m + 2*m**2. Suppose -60 = -0*b + 10*b. Let f(r) = 8*r**2 + 5*r + 5. What is b*f(c) + 5*l(c)? -3*c**2 Let m(y) = 420*y + 37. Let k(p) = 63
{ "pile_set_name": "DM Mathematics" }
/q**(-1/10))/(q/((q/(q**(-7)/q))/q)*q) assuming q is positive. q**(-1807/165) Simplify (y**(-4)/y**(-4))**3/(((y/(y**(1/3)*y))/y**(1/5))/(((y*y/(y*y**6)*y)/y*y)/y**(5/4))) assuming y is positive. y**(-283/60) Simplify ((q**(-15)*q/(q**10/q))/((q*q*q/((q/(q**(-17/4)/q))/q)*q)/((q/q**(-2/31)*q)/q)))**(-21) assuming q is positive. q**(53865/124) Simplify (y/(y/(y/y**29))*y)**(-3/8)/(y*((y/y**(2/59)*y)/y)/y*y**(9/8)*y*y) assuming y is positive. y**(356/59) Simplify ((q**(3/5))**6)**(5/7)*(((q*q**(-3))/q)/q**4)**1 assuming q is positive. q**(-31/7) Simplify (((r/(r*r*r**5))/r)/r**3)**(-22)/((r**(3/5)*r**(-2)/r)/(r*r**(-1))**(4/3)) assuming r is positive. r**(1112/5) Simplify (((k*k**35)/k**(-42))/(k*k**32*k*k**(-18)))**(-5/11) assuming k is positive. k**(-310/11) Simplify ((a*a**(1/4)*a)/(a**15*a))**(-45)*((a/(a/((a**(-2/13)*a*a)/a*a)))/a*a*a**(-8)*a)/(a**6*a**(-2/7)) assuming a is positive. a**(221269/364) Simplify ((t**(-1))**(-44)/(t/(t**(-3)*t)*t/t**3))/((t*t*t*(t**(-1)*t)/t)/((t*t**2)/t*t*t)*(t/(t*t/(t/t**(1/14)*t)))/t*t**3/t*t) assuming t is positive. t**(589/14) Simplify (s**(-6)/s**(1/5)*s**(1/6)/(s**(2/9)*s*s))**(-34) assuming s is positive. s**(12631/45) Simplify (y*y**0)/y*(y**(-1/11)/y*y)/y*y**(-6)/(y*(y/y**(-5))/y)*(((y/(y*(y/y**(-2/5)*y)/y))/y*y*y)**(2/29))**(-24) assuming y is positive. y**(-19824/1595) Simplify (g*g**(-3)*g*g*g**(-3))/((g**(-2)*g)/(g**(-2/3)*g))*((g*g**(-2))**(2/15))**(-17/6) assuming g is positive. g**(-58/45) Simplify ((q/((q**(-2/11)*q)/q)*q**(2/5))/(q*q*q**0*q*q)**(2/13))/(q**(1/15)/q**(3/13))**(-4) assuming q is positive. q**(133/429) Simplify (f/(f*f*f**(2/5)*f)*f**(-18)*(f*f**16*f*f*f)/(f/f**(-15)*f))**(-38) assuming f is positive. f**(3306/5) Simplify (n*(n*n/(n/((n/(n/(n/(n/(n*n**(1/11))))))/n)))/n)/(n**28/n*n)*n/(n/(n**8*n))*n*n**(3/13) assuming n is positive. n**(-2385/143) Simplify (((t**(4/3)/t)**(-6/17))**(-26))**(-34) assuming t is positive. t**(-104) Simplify ((i*i**(-4/3)/i)/i**(-8/7)*(i**(-3/2))**34)**(-2) assuming i is positive. i**(2150/21) Simplify (y/((y*y*y/(y/(y*y**0*y*y*y*y)))/y*y)*((y/(y*y**(-1/4)*y))/y)/y)/(y**(-1/3))**(-5/3)*(y**(1/8)*y**(-1/2))**46 assuming y is positive. y**(-239/9) Simplify (q/q**(-1/17)*q**(5/3))/((q**3/q)/(((q**5*q)/q)/q))*((q*q*q**3*q*q)/((q*q**(2/9)*q)/q*q))/(q*q*q**(2/7)*q)**(-2/35) assuming q is positive. q**(363268/37485) Simplify k**3/k**(-2/7)*((k**1*k*k)/k)**5*((k/(k/k**(-1/7)))/(((k/(k*k**0*k))/k)/k))**24 assuming k is positive. k**(573/7) Simplify (((k/k**(-8)*k**21)**(-10))**25)**(-10/3) assuming k is positive. k**25000 Simplify (j*j/(j**1*j))**(-5/7)/(j**(-3/4)*((j*((j*j*j**(-4))/j)/j)/j)/j*j)*j**4*j**(-6)*(j**(-9)/j)/((j*j*j*j**(2/5)*j)/j) assuming j is positive. j**(-213/20) Simplify d*d**(-14)*d/(d/(((d/(d**(-9)/d))/d)/d*d))*d**(-7/9)/(d/d**(-1/13)*d*d) assuming d is positive. d**(-802/117) Simplify (l*(l*l/(l/(l*l**(2/3)*l*l)))/l)**(2/45)/(l/l**2*l/((l*l**(-4))/l))*((l*l**(-2))/l*l**(-2/11)*l)/((l/l**2)/(l/l**(-6))) assuming l is positive. l**(4493/1485) Simplify (i*i**(-1)/i*i**(-1))/((i/(((i*i*(i/(i*i*i**(-2/5)*i*i))/i)/i)/i*i))/i*i**(-1/4))*(i**(1/2))**26*(i**(-1/3))**(2/79) assuming i is positive. i**(40961/4740) Simplify (x/x**(2/25)*x**2*(x*(x/(x/(x**(4/3)/x))*x)/x)/x**(-1))/((x**(2/7)/((x*x**7/x)/x))/(x**2)**(-34)) assuming x is positive. x**(-29942/525) Simplify (p**(-30)/(p**(3/13)*p)*p**(-1/51)/p**42)**(2/23) assuming p is positive. p**(-97130/15249) Simplify ((((m/(m**(-17)*m))/m**(-22))**(2/61))**(-5/4))**(-34) assuming m is positive. m**(3315/61) Simplify (((s/(s/(s**(-5)*s*s)))/(s/s**(2/21))*s/(s/s**(-1)*s)*s*s*s**(5/4))**(-8/3))**(1/67) assuming s is positive. s**(446/4221) Simplify ((k**(24/11))**(-3/14)/(k**(-42)*k/(k**(1/19)*k)))**(-1/7) assuming k is positive. k**(-60839/10241) Simplify ((n/(n**(1/11)*n)*n*(n/(n*(n**(-8/5)*n)/n*n))/n)/((n**(-2/9)/n)/n)**(17/5))/((n**0/n**(-3))/((n**(-7)*n)/(n/(n/n**(1/3))))) assuming n is positive. n**(-628/495) Simplify y**(-2)/y*y*(y*y**(-4))/y*(y/((y*y**0)/y))**46*(y**(-2)*y**2)/(y**1)**16 assuming y is positive. y**24 Simplify (s**18*s/(s*s**16/s)*s**(3/4)*s**30/s)**(-2/15) assuming s is positive. s**(-131/30) Simplify ((b/b**(-2/7))**(-5/12))**(-2/73)/(b**(2/9)*b**1/b)**(1/29) assuming b is positive. b**(1871/266742) Simplify ((a*(a*a**(-2/5))/a)/a)/((a*a**6)/a)*(a**(-1/3)/a)/(a*a/(a**(-2/3)*a))*(a**(-6)/(a**(-6/5)/a))/(a**(1/6)*a*a**(-3)) assuming a is positive. a**(-341/30) Simplify (((i**(-35)/i)/i**(-1/7))/(i**(-12)*i*i/i**(5/9)*i))**(-34) assuming i is positive. i**(56338/63) Simplify ((((l/l**(4/9))**(5/6))**(32/7))**(-4))**(2/173) assuming l is positive. l**(-3200/32697) Simplify ((y*y*y**9)**(-32)/(y*y**4)**13)**34 assuming y is positive. y**(-14178) Simplify (((a*a**(1/3))/a)**(-3/31)*a**(-4/7)*a**(-11)/a)**(-20) assuming a is positive. a**(54700/217) Simplify ((u/u**(-2))/(u*u**(5/4)/u)*u**(-3/2)/u*(u/(u/u**(-4/3)))/u)**(-5) assuming u is positive. u**(185/12) Simplify (r**(6/13)/r**(1/2)*(r**(-14)*r)**28)**21 assuming r is positive. r**(-198765/26) Simplify (h*h**(-2/3)*h*h**(-3))/(h*h*h**(1/7)*h**5)*(((h*h**(1/3))/h)**(46/3))**(-11/2) assuming h is positive. h**(-2326/63) Simplify (f**(-16)/(f*f**(-4))*(((f*f**(-2/27)/f)/f)/f*f)/(f/f**(-8/5)))**40 assuming f is positive. f**(-18008/27) Simplify ((r**2*r**(2/11))/(r**(-2/3))**13)/((r**(-1/2))**(-9/5)/(r**(2/13)/r*r**6*r)) assuming r is positive. r**(69079/4290) Simplify ((((((u*u/(u**(-4)*u)*u)/u)/u)/u)/u)**(-36)*(u/(u*u**(-3/8)*u*u))/u**(-17))**6 assuming u is positive. u**(-1359/4) Simplify (((c/c**(11/2)*(c*c*(c**(-14)*c)/c)/c*c)/(c**5)**(3/10))**(-26))**(-1/49) assuming c is positive. c**(-468/49) Simplify ((z**6/z**(-1/7))/(z/z**1)**33)/((((z/z**(-1/14))/z)/(z/(z**(2/7)/z)))/(z**(-1/6)*z*z*z/z**7)) assuming z is positive. z**(76/21) Simplify (y**0/(((y*y/(y/y**(-3)))/y*y*y*y)/y))/(y/y**0)**(-4/5)*y**(-2)*y*y**6/y*y*(y/y**(-1/9))/y**(-3/5) assuming y is positive. y**(383/45) Simplify (d/(d*d**20*d)*d**(-1/56)*(d*(d*(d/d**2)/d)/d*d*d*d)/d**39)**(-46) assuming d is positive. d**(74727/28) Simplify ((i/i**0)**(1/2))**(-8/5)/((i/i**(-2)*i/i**(-3))/(i/(i**1/i*i))**(-19)) assuming i is positive. i**(-39/5) Simplify ((w*w/(w*w**(-1/5)))**(-26)/((w*w/(w/(w**(-18)*w)))/w**(-33)))**(-50) assuming w is positive. w**2410 Simplify ((h*h**(2/7)*h)**(13/2))**9*(h**(1/2))**(-13)*h**(2/7)*h*(h**(1/2)/h)/h assuming h is positive. h**127 Simplify (k**(-2/35)*(k/k**11)/k*k/(k/(k*k/(k/k**14)))*k*k*k**(9/2))**(-1) assuming k is positive. k**(-731/70) Simplify (c*c*c/c**(-2/15)*c*c*c/(c/(c/(c/(c/c**9*c)*c)))*c)**(-2/59)/((c*c*c*c**(-8)*c*c**(-7/5)*c*c)/((c/c**(-2/17))/(c*c**(-1/5)))) assuming c is positive. c**(56884/15045) Simplify (a*a*a**(-5)*a*a**0*a**(2/3)*a**(2/5)*a)/((a/((a**3*a)/a)*a/(a/a**(2/11)))/(a**(-3/5)/((a/a**(-1/2))/a))) assuming a is positive. a**(259/330) Simplify ((z/(z/z**(4/7)*z)*z*z)/z**(-8)*((z/z**(-1))/z)**(1/18))/(z**(-6)*((z/(z**(-6)*z*z))/z)/z*z*z*z*z*z/z**(-2)*z**(1/2)) assuming z is positive. z**(323/63) Simplify ((u**(-2/3))**(-4/29))**(-22)*((u/(u*u**(-1/5)*u))/u*u**(4/3))/(u**0/u)**39 assuming u is positive. u**(5294/145) Simplify (((r*r**7*r)/r)/(r/r**(-31))*(r**29*r*r)/(r/(r*(r*(r**(-7/4)*r)/r*r*r)/r)))**(-3/13) assuming r is positive. r**(-87/52) Simplify ((a/(((a*a/(a*a**39)*a)/a)/a*a))/a*a/(a*a**(-21)/a))/(a**(-31))**(-13) assuming a is positive. a**(-343) Simplify (z/(z*z/z**(2/9))*z*z*z**0*z**(-9/5)*z**(1/3))**(-30) assuming z is positive. z**(22/3) Simplify ((j/(j/(j**(-5)*j)))/j*j**(2/5))/(j**1)**(4/23)*(j**(-1/4))**(-42)/(j/j**(2/7))**(2/65) assuming j is positive. j**(119387/20930) Simplify ((p/(p**(-5/3)*p))/p*p/p**(3/2))**(-17)*(p*p/(p*p*p**(1/8)*p)*p*p*p**3/p)**(-9) assuming p is positive. p**(-689/24) Simplify q**(-12/7)*q/q**(-1/12)*q*(q/(q/(q*q**0)*q))**14 assuming q is positive. q**(31/84) Simplify (w/((w**(2/19)*w)/w)*w*w**(-1/5))**(-12)*((w*w**(-1/3)/w*w)/w)**(3/11)*(w**(-5)*w)/w*w*w**(-4)*w assuming w is positive. w**(-28662/1045) Simplify ((r*r**(4/15)*r*r**3)/((r*r/((r**(1/14)*r)/r))/r*r)**(-2/37))**(-40) assuming r is positive. r**(-166928/777) Simplify ((i/i**(-2/21))/i**(-1/10))**(-34)/((i**(-1/4)/i)**(-43)/(i**1*i*i**(-1))) assuming i is positive. i**(-39223/420) Simplify (((p*p/(p*p*p**(1
{ "pile_set_name": "DM Mathematics" }
44 + 3*c - 380*c**2 + 16 + 33 to the form q*c**2 + h*c + d and give d. 5 Express 17204 + 18018 - 34269 + 7*s in the form l + t*s and give l. 953 Rearrange -277088*f + 277088*f + 6 + 6*f**3 - 61*f**2 to the form r*f + d + k*f**2 + j*f**3 and give k. -61 Express 2234*r + 1375380 - 1375380 as m*r + f and give m. 2234 Express (-4 + 1 + 1)*(-1 - 3 + 2)*(102240*s**2 - 3*s**3 + 0*s**3 - 102359*s**2) as p*s**3 + r + u*s**2 + q*s and give u. -476 Rearrange 1 - 1 - m + (-1 + 0 + 2)*(m - 5*m + 3*m) + (9*m - 24*m - m)*(40 - 7 - 16) to the form z*m + l and give l. 0 Rearrange -29 + 31 + 2*m**3 - 37 - 136*m**2 + 35 to the form g + w*m + q*m**3 + a*m**2 and give a. -136 Rearrange -3211*k**2 + 154*k + 154*k - 308*k - 6806*k**2 to the form f*k**2 + c*k + p and give f. -10017 Rearrange -19435 + 38275 - 2*n - 19492 + (-1 + 0 - 1)*(-2*n - 2*n + 6*n) to the form v*n + o and give o. -652 Rearrange (-7 + 7 - 1)*(49 - 40 - 23)*(7*x**3 + 5*x**2 - 5*x**2 + 2*x**4) + 3 - x**4 - 2 + 0*x**4 to the form b*x + g*x**3 + z*x**2 + o + l*x**4 and give b. 0 Express 910*l - 515*l - 624*l + 11*l**2 - 2*l**3 - 10*l**2 as z + n*l + v*l**2 + j*l**3 and give z. 0 Express -236*m + 432 - 19320*m - 816 + 384 as u + y*m and give y. -19556 Express 24*u + 47 - u**2 - 2*u**3 - 56 - 48*u + 39*u in the form k*u**3 + p + h*u**2 + r*u and give h. -1 Rearrange (-5 + 4 - 1)*(3*b**2 + 0*b + 0*b) - 4*b**2 + 3*b**2 + 5*b**2 + (-2 - 3*b + 3 + 2)*(4 + 3*b - 4) to the form g*b**2 + z*b + t and give z. 9 Rearrange 54631678 - 54631678 + 4*w**2 + 1519*w to the form x*w + t*w**2 + p and give x. 1519 Express (5*q - 5*q - 14*q**3 + 2*q)*(27601 + 108*q - 27601 + (2*q + q - 2*q)*(1 - 10 + 3)) as l*q**2 + c*q + s*q**3 + h + u*q**4 and give l. 204 Express -1931*s - 24 - 1960*s - 62*s**2 + 3889*s as x*s**2 + k*s + b and give b. -24 Express -3 - 163*d + 195*d + 5 + (-2*d - d + 5*d)*(-4 - 2 + 5) - 16*d + 3 - 21*d + 5*d as w + x*d and give w. 5 Express (119*x - 117*x + 4 + 3)*(-251 - 31 + 124) as b + l*x and give l. -316 Rearrange -67*w - 39 + 39 + (-26*w + 36 - 36)*(7 - 2 - 2) to the form n*w + u and give n. -145 Express -3*o**2 + 9866 + o - 9742 + o**2 - o in the form u*o + f + y*o**2 and give u. 0 Rearrange -701*r**2 + 825*r**2 - 4*r - 523*r**2 to m + n*r**2 + z*r and give z. -4 Express (29 + 14 - 29)*(2*y + 0*y - y) + 5*y + 5*y - 5*y + (-3*y + y - 3*y)*(2 + 0 + 6) in the form s + f*y and give f. -21 Rearrange 24 - 22953*c**2 - 2*c + 2*c**3 + 22953*c**2 to r*c**2 + k*c**3 + x*c + u and give u. 24 Express (3991*b - 3991*b - 3381*b**2)*(-2*b + b + 2*b)*((-4 + 0 + 8)*(3*b - 3*b + b) + 0*b + 3*b - b - 1) as v + p*b**4 + c*b**2 + t*b + a*b**3 and give a. 3381 Express (-364 - 253 - 339)*(6 - 4 - 4)*(0 - 1 + 3 + (-3 + 2 + 3)*(1 + 0 + 0) + 3 - 3 + 1 - 2 + 4 + 0)*(y - 5 + 5) in the form x*y + c and give x. 13384 Express 191*z**2 - z - 22391 - 22391 + 12*z + 44782 in the form m*z**2 + a*z + w and give m. 191 Rearrange (0*h + 2*h + h)*(-2663*h - 45 + 5322*h - 2665*h) to the form b*h**2 + q + r*h and give r. -135 Express -6 + 3*t + 145*t**2 + 5 - 99*t**2 in the form n*t**2 + v*t + q and give q. -1 Express 13*o**3 + 6*o**4 - 43*o**3 - 16*o**4 + 144040 - 144039 as l*o + p*o**3 + w + b*o**2 + q*o**4 and give w. 1 Rearrange 2*q**3 - 3*q**4 - 2*q**2 - 2185*q + 2 + 2181*q - 4*q**2 + 2*q**2 to the form p*q**2 + i + r*q + k*q**4 + y*q**3 and give y. 2 Express 9*x + 1 + 898 - 104 + 83 as s + n*x and give n. 9 Rearrange -1 + 216*k**2 + k**3 + 3*k - 686*k**2 + 229*k**2 + 235*k**2 + 11*k**4 to the form x*k**3 + z*k**2 + l*k**4 + n*k + r and give n. 3 Rearrange 1 - 2*s - 1 + s + s - 3*s + (-4 + 6 - 1)*(-2 - 2*s + 2) - 1 - 2911*s - 1542*s - 677*s - 57*s to p + m*s and give m. -5192 Rearrange 230560 - 8*x - x**3 - 230560 - 212*x**2 to i + f*x**2 + l*x + m*x**3 and give l. -8 Rearrange -14997*x**2 - 6*x + 14998*x**2 - 2 + 2*x + x**3 - 19*x**4 + x to m*x + a*x**2 + v*x**3 + w + z*x**4 and give z. -19 Express (-1 - m + 1)*(2 - 1 - 3)*(1183*m - 1105*m + 9 - 12) in the form t*m + s + w*m**2 and give w. 156 Express -22401*l + 4633*l - 5440*l in the form u + c*l and give c. -23208 Express (4 + 0 + 0)*(-375*w - 134*w - 106*w)*(4*w**3 + 4*w + w**3 - 6*w**3) as m + g*w + k*w**4 + h*w**2 + b*w**3 and give h. -9840 Rearrange 735623*k**2 - 735618*k**2 - 3*k**3 + 2*k**3 - 13*k - 2 to w + s*k**2 + b*k**3 + f*k and give f. -13 Express 1 - 1 + 977*r**2 + 1030*r**2 as s + t*r + o*r**2 and give o. 2007 Rearrange -1420 - 12478*s - 1094*s + 1420 to the form t + a*s and give a. -13572 Express 6268*w**2 - 454*w**2 - 755*w**2 in the form t + v*w + s*w**2 and give s. 5059 Express (24 - 45 + 40)*(6*m**2 + 3*m**2 - 5*m**2)*(-m - 7*m - 2*m) in the form d + i*m + f*m**3 + z*m**2 and give f. -760 Rearrange -217*g + 3114 + 1575*g - 8592*g - 3114 to the form j + i*g and give j. 0 Express 11*g**3 + 18*g**3 - 28*g**3 - 253 + 193*g - 192*g + g**2 as w*g**3 + p*g**2 + t*g + k and give t. 1 Rearrange (-5*o**2 + o**2 + o**2)*(o**2 + o**2 - 5*o**2) + (o + 0*o + o)*(2*o - o - 2*o)*(o**2 - 31 - 4 - 11) to y*o**3 + n*o + m + k*o**4 + b*o**2 and give k. 7 Rearrange -77 + 6*b**2 - 7*b**2 + 11*b**4 + 38 - 2*b**3 + 38 to v*b + k + l*b**2 + i*b**3 + x*b**4 and give x. 11 Express 3*n - 7*n - 30 - 7*n**2 + 69 - 40 in the form i + d*n**2 + p*n and give i. -1 Rearrange (2*g + 3*g - 4*g)*(-1648 - 8616 - 2241 - 300 - 39524) to y*g + i and give y. -52329 Express (1 + 0 - 3)*(-15458169 - 4316*v + 15458169) in the form m + c*v and give c. 8632 Express -274*w + 24*w**2 - 32 - 49 - 40 + 122 as v + c*w**2 + l*w and give v. 1 Rearrange 41*q - 6*q**3 + 3*q**3 + 43*q - 9 - 128*q + 52*q to v + o*q + m*q**3 + k*q**2 and give o. 8 Express (160685 - 80227 - 4*s**2 - s - 80114)*(-2*s - 3*s + 2*s) as t + o*s**3 + g*s + v*s**2 and give g. -1032 Express (-424*a - 121*a + 166*a)*(-6 - 1 + 3) in the form q*a + k and give q. 1516 Express (-11337 - 16163 + 34657)*(-2 + 2 - 2*d) in the form y + l*d and give l. -14314 Rearrange 141177*o**2 + 2*o**4 + 0*o**3 - 141162*o**2 - 2*o**3 - 1 + 0 to r*o**2 + n*o**4 + u*o + h*o**3 + q and give n. 2 Rearrange (-6*y - y - 55*y)*(59*y - 32*y + 181*y) to z*y + w + c*y**2 and give c. -12896 Rearrange -1185*s**2 + 5*s**2 + 1177*s**2 - 6331 to the form x*s**2 + r*s + q and give x. -3 Rearrange (0 + 0 + 1)*(43 + 2104*o - 35 - 7)*(0 - 5 + 4) to x*o + w and give w. -1 Express (-12*t - 219 + 219)*(-18*t**3 - 853*t**2 + 437*t**2 + 420*t**2) in the form q*t**3 + l*t**4 + c*t**2 + r + s*t and give l. 216 Rearrange (8021 + 471 + 10358)*(-y - y + 0*y) to j*y + s and give j. -37700 Rearrange (33*o + 41*o**2 - 33*o)*(-26 + 11 + 7*o**2 - 5) to the form l*o**3 + a*o**4 + d*o + c*o**2 + i and give i. 0 Rearrange -48 - n + 160469*n**2 - 4 - 160436*n**2 + n to the form p*n + m + i*n**2 and give m. -52 Rearrange -4*f**3 + f**2 - 210*f**4 - 487 - 7*f + 561 + 208*f**4 to the form p + y*f**3 + h*f**2 + z*f**4 + s*f and give p. 74 Express 94*h**3 - 10*h**4 - 12*h**4 - 94*h**3 + 4*h**4 + 3 - h**2 in the form p*h + l + i*h**2 + c*h**3 + d*h**4 and give d. -18 Rearrange 9*f**2 + 5*f - 18*f - 15*f + 9*f**3 - f**3 + 31*f to l*f**2 + d + v*f + k*f**3 and give k. 8 Rearrange -241*w**2 - 149*w**2 - 21*w**2 + 3 - 507*w**2 to the form q*w**2 + i + l*w and give i. 3 Express -y**4 + y**2 - y**2 + (-y - 3 + 3)*(-y + y + 2*y)*(20*y**2 - 5*y - 618 + 7*y + 616) in the form u*y**4 + g + j*y + l*y**3 + o*y**2 and give o. 4 Express -32*d**2 - 39 + 39 + (2*d**2 + 15*d - 10*d + 2*d**2)*(-7 + 1 + 4) in the form a + s*d**2 + g*d and give a. 0 Express -5*l - 1410 - l - 4*l**3 + 670 + 642 - 2*l**3 + l**2 as m*l**3 + k + t*l**2 + q*l and give m. -6 Rearrange 0*j - 4*j + 2*j + (-9 - 7 + 2)*(-204*j + 479*j + 345*j) to the form g*j + c and give g. -8682 Rearrange -50*z**2 - 5672602*z + 5672606*z - 4*z**3 + 3*z**3 to the form k + f*z**2 + x*z**3 + y*z and give y. 4 Express -895*h + 1708*h + 1111*h - 163*h + 1598*h in the form n*h + i and give n. 3359 Rearrange -2*v**4 - 3782*v**2 + 3801*v**2 + 0*v**3 - v - 19 + 3*v - 2*v**3 to k*v + s*v**2 + h*v**3 + x + n*v**4 and give k. 2 Express 106 - 524*w - 391*w - w**2 - 109 + 127*w as n*w + j + g*w**2 and give g. -1 Rearrange 671 - 306*p + 730 - 1404 to s*p + w and give s. -306 Rearrange 2*z**3 - z**3 - 3*z**4 + 8*z**3 - 20*z + 71*z - 4*z**3 to the form u*z**3 + s*z + o + m*z**2 + n*z*
{ "pile_set_name": "DM Mathematics" }
936 Simplify ((-2 + sqrt(1900) + 0 + sqrt(1900)*3*-4)*3)**2. 3960*sqrt(19) + 2069136 Simplify ((sqrt(1900) - 2*sqrt(1900)*5) + -1 + 5 + 0)**2. -720*sqrt(19) + 153916 Simplify sqrt(931) + (-3*sqrt(931) + sqrt(931) + sqrt(931))**2*-6 - ((sqrt(57)/sqrt(48))**2 + sqrt(19) + -2*(sqrt(19) + 0) + sqrt(19)). -89395/16 + 7*sqrt(19) Simplify (sqrt(27)/(-1*sqrt(729)) + (sqrt(3) + sqrt(108)*-1 - 6*(sqrt(3) + -1)))**2. -400*sqrt(3)/3 + 10972/27 Simplify (((sqrt(2025) + sqrt(2025) + sqrt(2025)*-2 + sqrt(2025) - sqrt(2025))*3)/(sqrt(405)*-2*-3))**2. 0 Simplify (-6*(sqrt(1584)*1 + sqrt(1584))*-6 + -1)**2. -1728*sqrt(11) + 8211457 Simplify ((sqrt(243) - (sqrt(243)*2 + sqrt(243)))*-5 + -5)**2 - -2*((2*sqrt(243))**2 + 1). -900*sqrt(3) + 26271 Simplify (sqrt(720) - (5 + -1 + sqrt(720)) - (0 + sqrt(720) + -1*sqrt(720)))**2 - (-1 + -1*sqrt(720) - 1*sqrt(720)*-6). -60*sqrt(5) + 17 Simplify 6*-1*(sqrt(192) + 1) + 3. -48*sqrt(3) - 3 Simplify (-3*sqrt(972) - sqrt(972))/(sqrt(4) + sqrt(4) + 5*sqrt(16)/sqrt(4))*2. -72*sqrt(3)/7 Simplify -2*((0 + -2 + (sqrt(80) - sqrt(5)))*5)**2*1. -2450 + 600*sqrt(5) Simplify -4*((sqrt(847) + 1)**2 + sqrt(7)) + (sqrt(588)/(1*sqrt(12)))/sqrt(7). -3392 - 91*sqrt(7) Simplify (sqrt(19) - (sqrt(19) + sqrt(209)/(sqrt(33)/sqrt(3) + sqrt(11)))) + 4 + sqrt(19) + 1 - sqrt(209)/(3*sqrt(891) + sqrt(891)). 17*sqrt(19)/36 + 5 Simplify (-4*(sqrt(88) + 1*sqrt(88)))/(-4*sqrt(40)/sqrt(5))*6. 12*sqrt(11) Simplify 1*((2 + sqrt(252) + 0)**2 - sqrt(252)*-2*6). 96*sqrt(7) + 256 Simplify (-3 + sqrt(11) + sqrt(176) + sqrt(11) + sqrt(11) + 1 + 5)**2 + (1*sqrt(132)/sqrt(4))/sqrt(3). 43*sqrt(11) + 548 Simplify 4 + (((sqrt(192) - (sqrt(192) + 2)) + -1)**2 - sqrt(6)/(((sqrt(14) - sqrt(224)) + sqrt(14))/sqrt(7))). sqrt(3)/2 + 13 Simplify (sqrt(600) + (sqrt(600)*-4 - sqrt(600) - sqrt(600)) + sqrt(600) + sqrt(600) - sqrt(600))/(sqrt(2)*-3*-3) + 2. -40*sqrt(3)/9 + 2 Simplify (-1 + (5*-4*sqrt(68) - sqrt(68)) + (sqrt(68) - (sqrt(68) + sqrt(68)*-2 + 0)) + 1)**2. 24548 Simplify (-2*sqrt(704)*6 + sqrt(704)*1 + 4)**2*6*-5. -2556000 + 21120*sqrt(11) Simplify -3 + -6*(1 + (3 + sqrt(3)*-1 - -1*(sqrt(3) - (sqrt(48))**2))). 261 Simplify 4 + 6*(sqrt(17)*-3)**2 + -3 + sqrt(136)/sqrt(8). sqrt(17) + 919 Simplify ((sqrt(75) + sqrt(75) + 0 + sqrt(75) + 2)*-1 + 0 + 3 + 1*sqrt(75))**2 + -1. -20*sqrt(3) + 300 Simplify 5 + ((5 + 1 + sqrt(637) - sqrt(637))**2 - (sqrt(637) - 4*(sqrt(637) + -1*sqrt(637)))). -7*sqrt(13) + 41 Simplify (1*(sqrt(91) - (sqrt(91) + -4*sqrt(91))))/((sqrt(847) - sqrt(847)*-3) + sqrt(7)). 4*sqrt(13)/45 Simplify (sqrt(133)*-1*5)/(2*sqrt(175) + sqrt(7))*-4. 20*sqrt(19)/11 Simplify -5 + (1*sqrt(2688))/(((sqrt(66) - 1*sqrt(66) - sqrt(66) - sqrt(66)) + sqrt(66))/sqrt(11)). -8*sqrt(7) - 5 Simplify 4*(-5*sqrt(384))/(sqrt(12) - -2*1*sqrt(12)). -80*sqrt(2)/3 Simplify (-6*-5*(-1*(sqrt(2299) + 1) - sqrt(2299) - ((sqrt(2299) - (sqrt(2299) - -1*sqrt(2299))) + -2)))**2. -19800*sqrt(19) + 2070000 Simplify (sqrt(1300) + (sqrt(1300) - -6*(-1 + sqrt(1300))) + sqrt(1300))**2 + sqrt(1300)*2 + 5 - (-3*sqrt(1300) + 1)**2*-5. -1360*sqrt(13) + 163846 Simplify ((-4 + (sqrt(35)/sqrt(5) - sqrt(7)) + 5 + (sqrt(63)/(-2*sqrt(9)) + sqrt(7) + sqrt(7) - 4*(0 + sqrt(7))))*-6)**2. -180*sqrt(7) + 1611 Simplify (-5*(-3 + ((sqrt(396) - (sqrt(396) - (2*sqrt(396) + sqrt(396)))) + 5 - (0 + sqrt(396) + -4)) + -1))**2. 3000*sqrt(11) + 40225 Simplify ((sqrt(66) - sqrt(66)*2)*4*-3)/(4*(sqrt(600) + -2*sqrt(600))). -3*sqrt(11)/10 Simplify 1 + (sqrt(153) + 0 + -3 + -4 + sqrt(153)*2)**2. -126*sqrt(17) + 1427 Simplify 6*(5*sqrt(448)*-3 + sqrt(343)*1*1)**2. 536298 Simplify -4*(-2 + 3*(-2 + ((sqrt(117)*-2 - sqrt(117) - sqrt(117)) + sqrt(117))/sqrt(9))). 32 + 36*sqrt(13) Simplify (-1*sqrt(480)/(-3*sqrt(250) - sqrt(10)))**2. 3/16 Simplify -3 + 4*2*(sqrt(200) + 0 + -5). -43 + 80*sqrt(2) Simplify -6*6*sqrt(128) + sqrt(128) + -6*5*sqrt(128). -520*sqrt(2) Simplify (2 + -5 + sqrt(17) + 3 + 3)**2*-2 + -1. -53 - 12*sqrt(17) Simplify -2*(sqrt(1372) + sqrt(1372)*-1)*3. 0 Simplify (sqrt(135) - (sqrt(135) - sqrt(135)*-2)*-3)/(2*sqrt(5)*3). 5*sqrt(3) Simplify (2*sqrt(121)*-3 + sqrt(121) - sqrt(121))/(sqrt(1100)*2). -3*sqrt(11)/10 Simplify (5*(1 + sqrt(208)) + sqrt(208))**2 - -5*((sqrt(91)/(sqrt(56)/sqrt(8)))**2 - sqrt(13)). 235*sqrt(13) + 7578 Simplify (3 + 1 + (sqrt(13) - -3*sqrt(13)*-6) + (sqrt(13) + 1 + sqrt(13))*2)**2. -156*sqrt(13) + 2233 Simplify -4 + -1 + (sqrt(95) - (2*sqrt(95)*4 + sqrt(95) + sqrt(95)))/(sqrt(180)*-1) + 1. -4 + 3*sqrt(19)/2 Simplify (-1*(4*(sqrt(1377) + 0 + sqrt(1377) + sqrt(1377) + 3 + 5) + 3))**2. 7560*sqrt(17) + 199513 Simplify (-1 + sqrt(700)*2 + -4 + (sqrt(700) - (sqrt(700) + sqrt(700) + 2)*1))**2. -140*sqrt(7) + 749 Simplify 1*(-5 + sqrt(51)/sqrt(3) - (sqrt(17) + (sqrt(17) + -3)*5))**2. -100*sqrt(17) + 525 Simplify ((sqrt(63) - 2*sqrt(567))/((sqrt(9) - (-1*sqrt(9) - sqrt(9)))*1 + sqrt(9)))**2 + 0. 175/16 Simplify (4 + (-2*-1*sqrt(77) + sqrt(77)*2*-5)/(sqrt(28)/(sqrt(4) + 2*sqrt(64))))**2. -576*sqrt(11) + 57040 Simplify (sqrt(63)/(((sqrt(36) - sqrt(9)) + sqrt(9) - sqrt(9)) + sqrt(9)))**2 + 2 + sqrt(21)/(sqrt(9)/sqrt(3)*6). sqrt(7)/6 + 15/4 Simplify (-1*-1*sqrt(25)*4)/(sqrt(125)*-2 + sqrt(5) + sqrt(5) - sqrt(20)*1). -2*sqrt(5)/5 Simplify 1 + ((sqrt(120)/(sqrt(24)*-4))/((sqrt(484) - 1*sqrt(484)) + sqrt(484)*2))**2. 30981/30976 Simplify (-3 + sqrt(54)/(1*sqrt(3)) - (4*(1 + sqrt(18)) + sqrt(18) + -4))**2*-3. -891 - 216*sqrt(2) Simplify (sqrt(13) - (5 + sqrt(325) - sqrt(13))**2) + sqrt(1053)*2 + sqrt(78)/(sqrt(6) - (sqrt(6) + sqrt(66)/sqrt(539))). -233 - 28*sqrt(13) Simplify ((((sqrt(84) + 2*sqrt(84))*-1)/sqrt(7))/(sqrt(400) + (sqrt(400) - 2*sqrt(400))*-1))**2. 27/400 Simplify (((sqrt(77) - sqrt(77)*-3 - sqrt(77))*-4 + sqrt(77))/(sqrt(55)/sqrt(605)))**2. 102487 Simplify -4*(0 + (-6*sqrt(624))/(2*sqrt(48))). 12*sqrt(13) Simplify (-4*1*(-5 + -1 + 2 + sqrt(320) + sqrt(320)))**2. -2048*sqrt(5) + 20736 Simplify ((-1*sqrt(152)/sqrt(100))/(sqrt(50) + -6*sqrt(150)/sqrt(3)))**2. 19/15625 Simplify (-3*sqrt(104)*-2)/(-2*(sqrt(8) + sqrt(32))). -sqrt(13) Simplify (-1*(sqrt(187) + -2*sqrt(187))*-6)/(sqrt(121)/((2*sqrt(77))/sqrt(7))). -12*sqrt(17) Simplify -4*(4 + (-3*(1 + sqrt(2057)) - (sqrt(2057) + 1 + sqrt(2057))*3))**2. -666484 - 1584*sqrt(17) Simplify ((sqrt(72)*-2)**2 - sqrt(2)*1*6)*5. -30*sqrt(2) + 1440 Simplify (-3*-1*sqrt(119))/(sqrt(1008)*-1). -sqrt(17)/4 Simplify (0 + 0 + ((sqrt(63)*-1)/sqrt(9) - sqrt(7) - -6*(sqrt(7) + -2)))**2. -96*sqrt(7) + 256 Simplify (5 + (-1*-4*sqrt(7) - (-2 + sqrt(343))) + 5)**2. -72*sqrt(7) + 207 Simplify (-2*(-1 + sqrt(75)))**2 + 0 + ((1 + -2*sqrt(75))**2 - (sqrt(75)*2 + sqrt(75) + 0)). -75*sqrt(3) + 605 Simplify ((-6*(-1*sqrt(1053) + sqrt(1053)))**2 + sqrt(1053) + sqrt(1053) + 2 + 2)*2. 8 + 36*sqrt(13) Simplify -3*(4 + sqrt(30)/(sqrt(20)/sqrt(2) + sqrt(10)))**2 - ((sqrt(588))**2 - ((-1*sqrt(9))/sqrt(3))**2). -2541/4 - 12*sqrt(3) Simplify (5*(1 + sqrt(252) + -2) + 4 + -1)*-3. -90*sqrt(7) + 6 Simplify -6*(2*(sqrt(1900) + 1))**2 + (1 + sqrt(1900) + -5*-3*sqrt(1900))**2. -160*sqrt(19) + 440777 Simplify -1*(sqrt(700) + 1) + 6*sqrt(56)/((sqrt(48)/sqrt(6) - sqrt(8) - sqrt(8) - sqrt(8)) + sqrt(8)). -16*sqrt(7) - 1 Simplify (-4*5*sqrt(220)/sqrt(4))/(sqrt(132)/(sqrt(12) - sqrt(192)/sqrt(4))). 20*sqrt(5) Simplify (3*(sqrt(143) + -1*sqrt(143) - sqrt(143))*4)/(-1*(sqrt(539) + sqrt(539)*-1) + sqrt(539)). -12*sqrt(13)/7 Simplify 3 + (-3*(4 + sqrt(363) + (sqrt(363)*-1 - sqrt(363)) - (-1 + -1 + sqrt(363))))**2. -2376*sqrt(3) + 13395 Simplify 0 + (-1*sqrt(136)*-3)/(5*sqrt(32)/sqrt(4)) + -3. -3 + 3*sqrt(17)/5 Simplify (4*(sqrt(320) - ((sqrt(320) - (sqrt(320) + -1)) + 0) - sqrt(320)))**2 - (0 + (sqrt(60) + (2*sqrt(60) - sqrt(60)))/sqrt(12) + sqrt(5))*-2. 6*sqrt(5) + 16 Simplify (((sqrt(171) - 5*sqrt(171)*1) + (sqrt(171) + 2*sqrt(171))*6)/(sqrt(108)/(sqrt(48)/sqrt(4)) + sqrt(9) - 2*(sqrt(9) - sqrt(36))))**2. 931/4 Simplify sqrt(33)/((sqrt(24)*5)/sqrt(8)) - ((2*sqrt(11)*-5)**2 - (2*sqrt(99))**2). -704 + sqrt(11)/5 Simplify (1*sqrt(209)*-3)/(-5*sqrt(99)). sqrt(19)/5 Simplify (1*sqrt(18)/sqrt(6) - (-5 + (sqrt(75))**2)) + (1*sqrt(3))**2 + sqrt(3) + 2 + (sqrt(33)/sqrt(44))**2. -257/4 + 2*sqrt(3) Simplify (sqrt(88) + 2*-2*sqrt(88) + sqrt(88) - ((sqrt(88) - -4*sqrt(88)*2) + sqrt(88)))/(-6*(sqrt(72) + -2*sqrt(
{ "pile_set_name": "DM Mathematics" }
hich is the closest to l? (a) d (b) u (c) -0.3 a Suppose 19 = 4*j + 55. Let r(f) = -f**3 - 10*f**2 - 9*f - 5. Let u be r(j). Let a be ((-2)/25)/((-2)/(-10)). What is the closest to a in -1/5, u, -4/7? -4/7 Let s(q) = 2*q**2 - 5*q + 2. Let w be s(3). Let t = 139/4 + -34. Which is the nearest to 1/3? (a) 0.3 (b) w (c) t a Let v = -8 - -5. Let u = 0.37 + -22.37. Let a = 18 + u. What is the closest to 0.1 in a, -1/5, v? -1/5 Let w = 4 + -3. Let n = -3 + 3. Let y = n - w. Which is the nearest to y? (a) -1/4 (b) 3 (c) -3/7 c Let o(m) = -2*m + 12. Let k be o(6). Let n = 43 + -471/11. Let j = 1 + -1.2. What is the closest to k in -3, j, n? n Let u = 35 - 34. Let s = 8.3 - 8. Which is the nearest to 0? (a) 5 (b) s (c) u b Let f be 0 - 1 - 3/(-2). Let o = -3/8 - -5/8. Let k = -0.07 + -3.93. Which is the nearest to o? (a) -5 (b) f (c) k b Let o = 2649.07 + -2662. Let z = o - -13. Let m = -0.03 - z. What is the closest to -1 in -0.4, -0.2, m? -0.4 Let z = 83.61 + -84. Let n = z - 0.11. What is the closest to -5 in 1, n, 4? n Let r = -1.7 + 1.2. Let q = 4 - 3.9. Which is the nearest to q? (a) r (b) -0.3 (c) 4 b Let f be (9/24)/((-105)/14). What is the nearest to -0.1 in -0.3, 2/13, f? f Let b = 0.19 + 1.81. What is the closest to b in 0.2, 3, 0? 3 Let w = 104 - 99. What is the closest to 1 in 0.4, w, 4? 0.4 Let z = 1.99 - -0.01. Let i be ((0 - 0) + -4)/1. Let f = -2.9 - -3. What is the nearest to f in 5, z, i? z Let h = 44.7 - 45. Let r = -1 - -0.9. Let f = -5 + 3. Which is the closest to r? (a) -1/4 (b) h (c) f a Suppose -12*u = -7*u - 25. Let d(t) = -t**3 + 11*t**2 - 9*t - 11. Let s be d(10). What is the nearest to s in 4, -4, u? -4 Let g(r) = -2*r**3 + r**2 + 2*r - 1. Let b be g(-2). Let v = b + -77/5. What is the nearest to v in 5, 0.4, -0.4? -0.4 Let t = -17/66 + 1/11. Let g = -0.31 + 0.21. Let b = 7 + -11. What is the nearest to g in t, 1, b? t Suppose 11 + 13 = -3*n - 3*d, 5*n = 5*d. Let r be (-2)/5*(-10)/14. Let x = -0.3 - 0.1. Which is the nearest to r? (a) n (b) x (c) -1/6 c Let l be -2*4/(-8) + 7/(-8). Which is the closest to 0? (a) l (b) -1/3 (c) -3 a Let h be (-2)/(-10)*-7 - -1. Let x be (28/(-24))/(-7)*-2. What is the closest to h in x, -0.2, -2/9? x Let z be (-4)/14 + 32/210. Which is the nearest to -2/7? (a) -0.3 (b) z (c) -4 a Let l = -9.5 + 10. Let r = -0.5 + -6.2. Let h = r - -7. Which is the nearest to -1? (a) 0.4 (b) l (c) h c Let o be (16/(-24))/(6/(-9)). What is the closest to o in 0, -0.1, -1? 0 Let a = -394/9 + 44. Let d = -6.3 - -6. Suppose 0 = -5*c - 45 + 50. What is the nearest to c in a, -5, d? a Let h = 0.1 + 0.2. Let r be 3/(-21)*1*-2. What is the closest to r in h, 1, 0? h Suppose -3*r - 33 = 4*s, 0*s = -3*r + 2*s - 15. Let d = r + 11. Which is the closest to -1? (a) -1/2 (b) d (c) 2 a Let m = 891/7 - 127. Let r = -8 + 10. Which is the nearest to m? (a) -1/7 (b) -1 (c) r a Let j = -23 - -23.2. What is the nearest to -1 in 7, -1, j? -1 Let w(y) = -7*y + 28. Let k be w(4). What is the closest to k in -4, 13, -1? -1 Let y = 4 - 4.1. Let p = 48 + -50. Which is the closest to 2/3? (a) p (b) 1 (c) y b Let x = 16 - 18. What is the closest to -4 in 0.2, 1/4, x? x Let w be 2/30 + (-1)/(-3). Suppose 4*i + 2*z = -8, -3*i - 16 = -2*i + 4*z. Suppose 0 = -3*v - i*v + 12. Which is the nearest to 1? (a) 0 (b) w (c) v b Let u be (-3)/6*-6 + -6. Let o = 0 - 0.2. Let t = 17/12 + -5/4. Which is the closest to 2/5? (a) u (b) t (c) o b Let w = 2 + -2. Let g = -3 - -2. Let u = -3 - -3.3. Which is the closest to 1/4? (a) w (b) g (c) u c Let l be (2/(-6))/(1 + -2). Let k = -1 + 0. Which is the nearest to k? (a) l (b) 4/7 (c) -0.5 c Let i = -7 + 6. Let a = -4 + i. Suppose -19 = -2*u + 5*q, 4*q - 8*q - 16 = -2*u. What is the closest to 1 in a, 0.3, u? 0.3 Let g = -28.8 + 29. Which is the closest to -1? (a) 1 (b) g (c) -1 c Let y(q) = -q + 3. Let r be y(2). What is the closest to r in 3, 1, -4? 1 Let x = 2 - 2.2. Let m = -0.1 - x. What is the closest to 1 in 1/5, 0, m? 1/5 Let s(z) = -z**2 + 2*z - 1. Let i(q) = -6*q - 1. Let x be i(-1). Suppose -x*h + 9 = -1. Let k be s(h). Which is the closest to k? (a) -4 (b) -1 (c) -3 b Let h = -2.66 + 2.36. Let y be (12/1)/(6/(-4)). Let k be (-2 - 22/y)*-4. Which is the closest to 1/2? (a) h (b) k (c) 3/5 c Let d = -512/9 - -57. Let r = -1.3 + 1. What is the closest to 3/5 in d, r, 0.2? 0.2 Let f be 3 - (4 + -2 + 3). What is the closest to 3 in f, -4, 1? 1 Let h be (-6)/21 - 7/(49/(-4)). What is the nearest to 0.01 in -0.5, -3, h? h Suppose -44 - 11 = -5*v. Suppose 0 = 2*l + 3*n - 10, 2*n - v = 4*l - l. Let x = -442/5 - -88. What is the closest to -2 in l, x, 2/3? l Let q = -11 - -14. Which is the nearest to -0.1? (a) q (b) 1 (c) 2 b Let l be 4/26 - (-864)/(-208). Let g(k) = k**2 + 4*k + 3. Let q be g(l). Let t = 54 - 215/4. Which is the closest to t? (a) 2 (b) q (c) -1 c Let r = -0.02 + 3.02. What is the nearest to 0 in -1/2, 0, r? 0 Let p(f) = f + 2. Suppose 0*v + 3*v = -9. Let l(j) = -2*j - 3. Let s(o) = v*l(o) - 7*p(o). Let h be s(-5). Which is the closest to 0? (a) 5/3 (b) h (c) -2 b Suppose 4*s = -2*d + 22, 7*s - 2*s + 2*d = 26. Let l be (12/(-1))/3 + 17 + -15. What is the closest to -4 in l, 0.3, s? l Let q = -14 - -11. What is the nearest to q in 0.1, 2, -5? -5 Let h = -6 + 1. Let c = -3.52 + 0.52. What is the nearest to 0.1 in h, c, -2? -2 Let o = 3/32 + -53/224. Which is the nearest to 1/4? (a) -2 (b) o (c) -4 b Let j = 7 - 8. Let v = -344.01 + 342. Let n = -0.01 - v. Which is the nearest to -1/4? (a) n (b) -1/4 (c) j b Let n = 19 - 23. Which is the closest to 2/11? (a) n (b) -1/6 (c) 2/13 c Let y = -16.4 + 17. Let x = 0.5 - y. What is the closest to -1 in 2/3, x, 3? x Suppose 0 = -j - 3*m - 7 - 1, -5*j - 3*m - 4 = 0. Let h = -0.61 + -1.39. Which is the closest to j? (a) h (b) 0 (c) 3 b Let w = 0.6 + -0.3. Let l = 23 - 21. Let j = -1 - 0. Which is the nearest to j? (a) w (b) l (c) 2/3 a Let q = 0.08 - 0.68. Let u = q + 1.7. Let y = u + -0.7. What is the nearest to -1/4 in y, -2/7, 0.3? -2/7 Let w = -15 + 19. Which is the closest to 1? (a) w (b) 4/5 (c) -4 b Let i(x) = -2*x - 15. Let t be i(-5). Which is the closest to 1? (a) t (b) -2/7 (c) 2/9 c Let s = -12 - -12.3. Let u = 0.2 - s. What is the closest to 3/5 in -0.3, u, 3? u Let f = 5.8 + -0.8. Let j = f + -8. Let d = j - -3. What is the closest to d in -0.5, 0, 4? 0 Suppose -15 = -7*m + 4*m, 4*m = -2*w + 62. Let x be (8/(-66))/(14/w). Which is the closest to 0? (a) -2 (b) -1 (c) x c Suppose h - 3*z - 10 = 0, 2*z - 3*z + 5 = -2*h. Let o = -0.08 + 0.28. Which is the nearest to o? (a) 2 (b) h (c) -4 a Let t = 0.1 - 0.2. Let v = -16 + 17. What is the closest to t in 0, 2/7, v? 0 Let w = -2.5 - -2.2. Suppose -2*z - 5 = -3. Which is the closest to w? (a) -4 (b) -0.2 (c) z b Let f = 23 + -22.5. Which is the closest to -1? (a) -16 (b) f (c) 0.2 c Let p = 0.9 + -0.7. Which is the closest to -1/5? (a) -1 (b) 3/8 (c) p c Let z be 8/(-16)*(4 - 1). Let k = -1/21 - -53/231. What is the nearest to 1 in -5/6, k, z? k Let h(z) = 8 + 6*z + 3*z - 6*z + 7. Let n be h(-6). Let v = 7 - 11. Which is the closest to 2/3? (a) v (b) 0.5 (c) n b Let t = -0.3 - -0.5. Let h be (-1)/((-18)/4396) + 3. Let y = h + -247. Which is the closest to 0.1? (a) y (b) -1/3 (c) t c Let m = 293/8 + -37. Let k = -1.6 + 2. What is the nearest to -2/3 in 0.5, k, m? m Suppose 0 = 2*z + 5*f + 15, 0 = 3*z - z + 2*f. Which is the nearest to -0.2? (a) z (b) -5 (c) -4 c Let s = 0.2 + -0.6. Let u = -0.0834 + 0.0834. What is the closest to 0.3 in u, s, 2/7? 2/7 Let i be (-4)/6*(-135)/(-120). Which is the nearest to 3/2? (a) i (b) 1 (c) 3/8 b Let f = -38.8 - -39. Which is the closest to f? (a) -3 (b) -1 (c) 0.02 c Let a = 20.5 - 20. Let c(s) = s**3 + 4*s**2 - 4*s + 2. Let f be c(-5). What is the nearest to 3 in f, a, -5? a Let g = -124 + 123.5. Which is the nearest to -1? (a) 0 (b) g (c) 1 b Suppose 169 - 55 = -3*s. Let j = -2 - -7. Let m be j/(-20) - s/(-8). Which is the closest to 1? (a) -0.1 (b) -0.5 (c) m a Let n = -7 + 3. Suppose 5*s - 11*s = 0. What is the closest to s in 2, -3, n? 2 Let x be (-6)/(-15) + 0/(-1). Let n = -0.17 + -0.23. What is the closest to x in -1, n, -
{ "pile_set_name": "DM Mathematics" }
5*a - 12 for a. 0 Suppose -5*j + 4*n - 5*n + 57 = 0, -5*j = 5*n - 45. Solve -5*b - j = -3*l + l, -l - 5*b - 9 = 0 for l. 1 Suppose 0 = -0*l + 13*l - 195. Suppose 5*u - l = b, 5*b - 3*u - 9 = 4. Solve 3*c = b*c - 3*p + 10, 5*p = 3*c + 15 for c. -5 Let v = -41 - -43. Suppose 4 = 2*h + v. Solve -h + 6 = -5*b + 4*m, 2*m = 4*b + 10 for b. -5 Let z be (33/9)/(10/60). Suppose 3*g + 10 = z. Solve g*h + 9 = -v + 6*v, -2 = -3*v - h for v. 1 Suppose 3*v + v = 8. Let m be 236/30 + -4 + (-620)/(-150). Solve 3*d - 2*d = -5*g + m, 2*g = -v*d for g. 2 Suppose 4*h - 9 = n + 16, 15 = 2*h - n. Solve -h*c - 4 = -2*v + 3, 0 = -c + v + 1 for c. -3 Let r(f) be the first derivative of -1 + 12*f - 3/2*f**2. Let c be r(4). Solve -4*m = 4*a - 7 + 15, -3*m + a + 10 = c for m. 2 Let g(k) = 5*k**2 - 66*k - 51. Let a be g(14). Solve -24 = n + 2*n - a*j, 3*j = 2*n + 15 for n. -3 Let c be ((24/(-18))/((-6)/27))/2. Solve -4*h = c*a + 5, 0 = 5*h - a - 3*a + 14 for h. -2 Suppose -2*j = -d - 1, -d = -5*j + d + 3. Let s be 1/(-2)*j*-4. Suppose 2*o - 10 + s = -2*n, -8 = 2*n - 2*o. Solve -2 = -5*k + 4*w, n = -4*k - w + 4 + 6 for k. 2 Suppose 3*u - 4*p = -3*p + 30, -5*u + 2*p = -50. Let v be (-4)/(-10) + (-44)/110. Solve v*d = y + 5*d + 25, -y - 2*d - u = 0 for y. 0 Let m be 14/70 - 26/5. Let x = 5 + m. Suppose -5*j = -5*p - 30, x = 4*j - 7*j - 3*p. Solve -3*t + q + 3 = -2*q, -5*q - j = -4*t for t. 2 Let p(u) = u**3 + 5*u**2 + 4*u + 3. Let w be p(-3). Let f be 33/w - 2 - 2/(-6). Solve -2*n = -6, f + 24 = 5*s + 2*n for s. 4 Let d = 28 + -28. Let t be -3*2/12*d. Suppose 4*m = -t + 8. Solve -2*z - 5*g = -28, -2*z - 12 = -m*g - 3*g for z. 4 Let x = 358 - 146. Let h be 8/60 + x/(-15). Let b = h + 20. Solve 2*l + 4*p - b = 0, 2*p + 2*p = 2*l + 26 for l. -5 Let w be ((-1)/1)/(3/(-6)). Suppose -5*i - 2*h + 1 = h, -4*i - w*h = -2. Let s be i/11 - (-14)/(-77). Solve 2*x = -2*u - 6, 1 = -s*x - x - 3*u for x. -4 Let i be 0*-1*(2 + -1). Suppose 2*s - 4*n = -0*n + 24, -3*s + 4*n + 26 = i. Solve 0 = s*r + j + 1, -4*r + 7*r + 3*j + 9 = 0 for r. 2 Let l(f) = 2*f**3 + 79*f**2 + 43*f + 161. Let o be l(-39). Solve -5*m + o*a + 35 = 0, a + a - 10 = -4*m for m. 4 Suppose -29*v + 165 = -67. Solve -3*y - 16 = -z, 3*z + 3*y - v = -2*z for z. 4 Let v be ((-15)/(-10))/(3/6). Solve 0 = v*x - 3, -3 = 4*d - d - 3*x for d. 0 Let w be (-16)/(-3) + 4/(-12) - 3. Suppose -y - 9 + 4 = -h, 3*y + 15 = -w*h. Solve -5*z - 25 = -2*f - 0*f, 5*z + 3*f = h for z. -3 Let d(v) = 6*v - 2. Let t be d(2). Suppose 5*w - 5*f = 3 + 7, -3*f - 12 = -5*w. Solve 3*h = -4*z - t - 13, -w*z - 6 = 0 for h. -5 Suppose 5*s = 16 - 6. Let m be (2/1)/((-1)/(-7)). Let v = 4 - 2. Solve 5*j = -v*t - 19, t = -s*t + j + m for t. 3 Let o(q) = -3*q - 21. Let z be o(-15). Let k be -1*2 - (-48)/z. Solve k = -3*n - 3, 3*n = -5*g - 0*g + 12 for g. 3 Suppose -5*u = -p - 75, 26*u - p = 24*u + 30. Solve 5*g = -5*m - 0*g + u, 3*g + 12 = 4*m for m. 3 Suppose 8*i + 52 = 10*i. Let z = -24 + i. Solve -4*n + 4 = -a, 3*n - z*a - 6 = 2 for n. 0 Let x = 4 + -2. Let t(i) = -i**3 + 12*i**2 - 13*i + 24. Let m be t(11). Solve 5*w - 2*w = m*y + 7, y = -x*w for y. -2 Let h be (528/(-60))/((-4)/10) - 4. Solve 2*b + h = -3*s, 0 = -b - 4*s - s - 23 for b. -3 Let t be (9 + 568/(-56))/((-4)/14). Suppose -2*x = -4*x - g + 10, -3*x - 5*g = -8. Let w = x + -3. Solve -y = -t*u + 2*u + 3, 9 = -3*u - w*y for u. 0 Let i = 86 + -88. Let t be 4 + 10 + i/(2/3). Solve -5*k + t = -k - 3*o, -3*k + 12 = -o for k. 5 Suppose o - 70 = -65. Let c(g) = -8*g + 42. Let l be c(o). Solve 3*d + v - 11 = 0, -4*d - l*v + 18 = d for d. 4 Let x(z) = 2 - 36*z + 70*z - 37*z + z**2. Let t be x(3). Solve 0 = 5*p - 20, 5 = -2*b - t*p + 19 for b. 3 Let t = 601 - 596. Solve -5*r - t = 5*g, 7 = -3*r - 8 for g. 4 Let q = 627 - 622. Solve -v + q = a, 2*a - 7 = 7*a - 3*v for a. 1 Let h be 5 - (0/(-3) + 2). Suppose h*n + 7 = 3*u + 4*n, 3*n = -4*u + 1. Solve -u*o - 4*t = -8*t + 28, -3*o - t = 9 for o. -4 Suppose q = 18 - 13. Suppose 2*j + 22 = 4*a - 3*j, 4*j = q*a - 23. Solve 3*u - 5 = -2*c + c, -a*c + 3*u = 21 for c. -4 Let s = 92 - 87. Suppose 2*c = -3*c + s*z + 35, 3*c = 5*z + 31. Solve 0 = -2*h - v + 6, c*h + 4*v = -0*h for h. 4 Let b(a) = a**3 - 6*a**2 + 5*a - 20. Let u be b(6). Solve -5*g + u = -5*z, -3*z + g - 4 = -g for z. 0 Suppose -3 = 3*x - 5*t, -x + 4*t = -5*x - 36. Let r(m) = 5*m - 4*m + 4 - 3 + 7. Let h be r(x). Solve 4*s + q - 14 - 3 = 0, 0 = -h*s + 2*q + 6 for s. 4 Let w = -194 - -183. Let z(j) = -j**3 + 4*j**2 - j - 1. Let u be z(4). Let l = u - w. Solve 0*y = 3*c + y + 3, -l = -3*c - 4*y for c. -2 Let j = -116 - -119. Suppose 7*a = 5*a - j*a. Solve -2*s - 10 = o, 5*o = -3*s - a*o - 29 for s. -3 Let p = 144 + -72. Suppose 4*x + 4 - p = 0. Suppose 3*i - l = 23, 0 = -i - l - l + x. Solve -3 = -2*z - 4*o - i, 2*o = 5*z - 9 for z. 1 Let p(g) = 2*g + 80. Let w be p(-38). Solve b + 3*m - m = 2, w = -3*b + 4*m for b. 0 Let m(k) = -k + 36. Let n be m(34). Solve i = -4*g + n, 5*g = -0*g for i. 2 Suppose 28 = 3*c + 18*d - 20*d, 5*c = d + 56. Solve 5*m - 3*t - 26 = 0, -4*m - 2*t = -0*m - c for m. 4 Let a(z) = 71*z - 495. Let q be a(7). Solve b - 9 = -q*y - 11, 4*b = 0 for y. -1 Let h be 0/(3/1 - (-3 + 5)). Solve h = -o + 5*g - 8, g + 0 = -o + 4 for o. 2 Let o be (-6 + 2)/(-2) - (4 + -22). Let q be 19/2 + (-30)/o. Solve 3*v - f = 6, -4*f - q = -3*v - 2 for v. 2 Let w = -1 - -5. Let z be w/6*39/26. Let y be z + (2 - (3 + -3)). Solve 2*b + 3 = -4*u - 9, b + y*u + 9 = 0 for b. 0 Suppose 26 = -14*q - 30. Let o be -1 + 5 + -4 + q + 13. Solve r = -4*f - 12, -5*f - 4*r - o = -2*f for f. -3 Let q(t) = t**2 - 32*t + 140. Let d be q(27). Solve -d*w - 3 = 2, z - w = 0 for z. -1 Let z(f) = 2*f - 4. Let a be (-6)/(4/(-10) + 22/(-20)). Let s be z(a). Let p = 5 + 0. Solve 5*c = s*y - 0*c + 11, y + p*c + 9 = 0 for y. -4 Let c = 780 - 778. Solve 3*z = 8*z + 2*n + 27, -2*z - c*n = 12 for z. -5 Suppose -8*d = -7*d - 4. Suppose 5*p - 59 + 4 = 0. Solve 5*t = -2*y + 26, -y - p - 2 = -d*t for t. 4 Let i(a) = 3*a - 5. Let d be i(5). Let s(o) = -o - 6. Let v be s(-2). Let y(j) = -j**2 - 3*j + 9. Let x be y(v). Solve -2*b + 6*b = 3*q + d, q + x = 3*b for q. -2 Let c = 35 - 0. Suppose 29*y = c*y - 174. Solve -y = 5*a + 3*d, 4*a = d - 2 - 11 for a. -4 Suppose 18*n - 21*n + 6 = 5*u, -3*n = u + 6. Suppose 0 = -3*f - 5*l + 8, 2 + 0 = -2*f + 4*l. Let b = f - 1. Solve 0*r + i - 11 = -u*r, r + 4*i + 11 = b for r. 5 Suppose 3*y + 5*b = 75, 2*y + 0*y - b - 50 = 0. Solve 4*m + 3 = -h - 2, 5*h = -5*m - y for m. 0 Let k be (-2)/8 - (-105)/(-28). Let h be 7 + 1 + 0 + k. Suppose 3 - 9 = -2*l. Solve 9 = -l*x + 3*a, 3*a + h + 2 = 0 for x. -5 Let j(y) = 2*y - 7. Let g be j(6). Let m = 7 + -7. Suppose -g*c + c - 20 = m, -4*a + 17 = -c. Solve -2 = -4*n + 2*u, -a*u + 3 = 3*n - 3 for n. 1 Let w(n) = -n**2 - 20*n - 48. Let d be w(-17). Let c = -9 - -13. Let g(j) = j + 2. Let x be g(0). Solve 37 = -d*z - 5*b, c*z - x*b + 1 = -5 for z. -4 Let i(p) = p**3 + 9*p**2 + 9*p + 5. Let a be i(-7). Let m be 3*(a/(-28))/((-3)/7). Solve -2*z + 0*z - 25 = -3*j, -3*z = j + m for z. -5 Let j(i) = -6*i**2 + 10 - 3 + 7*i**2 - 8*i. Let n be j(7). Suppose -p - 4 = -n*c + c, -4*c - 3*p = 11. Solve x = 4*h - c - 10, -5*x - 25 = -5*h for h. 2 Let z = -59 + 99. Let c = z - 18. Solve -3*h + 29 = -5*x, -4*x + 0*h = -2*h + c for x. -4 Let t(r) = 0 + 10*r - 3 - 9*r. Let v be t(5). Let w(q) = -q**3 + 6*q**2 - 3*q - 7. Let m be w(5). Solve 0 = 2*u + 2*c - v, -4*u - u = m*c - 9 for u. 3 Let o = 30 - 10. Suppose 0 = 214*x - 232*x + 72. Solve -o = x*g, 2*g + 22 = 3*s - 6*s for s. -4 Let m(b) = 2*b**2 - 24*b - 17. Let i be m(16). Let l be (-3)/(2/(-3 + i/(-9))). Solve -g - 5*t - l = 0, -4*t = 5*g - 7*t - 25 for g. 2 Let o(d) = -2*d**3 - 20*d**2 + 19*d - 29. Let m be o(-11). Solve 4*y + 16 = -2*g, 16 = 14*g - 18*g - m*y for g. 0 Let i be 1 + (-4)/(5/(-3 + -2)). Solve m = b + 3, -m - b = -i*b - 9 for m. 1 Let m(d) = -d**2 + 6*d + 10. Let v be m(7). Suppose 0*a - 52 = -4*b + 3*a, v*a + 62 = 5*b. Let h = b - 3. Solve w - 13 = -5*o - w, 0 = 2*o - w - h for o. 3 Let j be (6 - 1) + -1 - (-60 - 1). Let w = -60 + j. Let h(a) = a - 1. Let r be h(3). Solve r*y + 15 = -w*u, -2*u - 3*u + 3*y - 15 = 0 for u. -3 Let p(j) = j - 2*j**2 - 124 + 124 + j**3. Suppose -8*k + 4*k + 4 = 0. Let b be p(k). Solve -q =
{ "pile_set_name": "DM Mathematics" }
*m**3 - 2*m**2 + 3. Calculate -8*j(k) - 3*q(k). -3*k**3 - 2*k**2 - 3*k Let y(w) be the third derivative of -7*w**4/24 - w**3/3 - 6*w**2. Let j(f) = -3*f - 1. Give 5*j(v) - 2*y(v). -v - 1 Let s(i) be the second derivative of -3*i**3/2 + 3*i**2/2 + i. Suppose 1 = -2*m + 15. Suppose 2*v - 3 = v. Let b(x) = 4*x - 1. What is m*b(z) + v*s(z)? z + 2 Let l(s) = 2*s - 1. Let j(o) = -1 - 6 + 12 - 4. Let g = -3 + 2. Determine g*l(t) - 3*j(t). -2*t - 2 Let a(v) = 3*v - 4. Let b(k) = 3*k - 5. What is -5*a(i) + 4*b(i)? -3*i Let q(i) = i + 1. Let f(g) = -5*g + 6. Let o(v) = -f(v) - 2*q(v). Suppose 4*d = 3*d + 12. Let u be d/8 + 7/2. Let x(p) = 2*p - 5. Calculate u*o(n) - 8*x(n). -n Let l(y) = 11. Let x(i) = -i - 1. Determine l(n) + 11*x(n). -11*n Let r(b) = 3*b + 3. Let f(v) = -2*v - 2. Let h(w) = -w**3 + 8*w**2 - w + 4. Let z = -7 - -15. Let q be h(z). What is q*r(i) - 5*f(i)? -2*i - 2 Let p(l) = -5*l**2 - 3*l + 17. Let c(x) = 2*x**2 + x - 6. Give 11*c(w) + 4*p(w). 2*w**2 - w + 2 Let w(g) = 10*g**3 + 5*g - 5. Let c(i) = -5*i**3 - 3*i + 3. Give 10*c(q) + 6*w(q). 10*q**3 Let r(s) = -s**2 - 2*s - 2. Let t(c) = c**2 + 3*c + 3. Calculate 6*r(i) + 4*t(i). -2*i**2 Let j(d) = d**2 - 13*d - 13. Let p(r) = 7*r + 7. Let q(l) = 4*j(l) + 7*p(l). Let t(f) = 9*f**2 - 6*f - 7. What is 7*q(u) - 3*t(u)? u**2 - 3*u Let d(t) = -10*t**2. Let a(y) = 30*y**2. Determine -6*a(u) - 20*d(u). 20*u**2 Let z(l) = 2*l**2 - 5. Let g = -20 + 13. Let k be 16/56 - 19/g. Let r(f) = -f**2 + 1. Calculate k*r(w) + z(w). -w**2 - 2 Let k(d) = -d**3 + d**2 - d + 1. Let h(b) = -70*b**3 + 63*b**2 - 63*b + 63. Calculate -2*h(m) + 126*k(m). 14*m**3 Let z(g) = -2*g**2 + 2*g. Let u(x) be the first derivative of -8*x**3/3 + 9*x**2/2 + 6. Determine 2*u(w) - 9*z(w). 2*w**2 Let q(u) = -1. Let l(x) = -x - 6. Give -4*l(i) + 20*q(i). 4*i + 4 Let v(t) = 19*t**3 + 5*t**2 + 5*t + 5. Let z(x) = 124*x**3 + 32*x**2 + 32*x + 32. Calculate -32*v(r) + 5*z(r). 12*r**3 Let x(r) = r**3. Let l(v) be the third derivative of v**6/60 - 22*v**2. Determine 2*l(g) - 5*x(g). -g**3 Let n(k) = 5*k**2 - 6*k. Let u(v) = v. Calculate -5*n(y) - 30*u(y). -25*y**2 Let f(q) = -2*q**3 + 2*q**2 - q. Let m(r) = 16*r**2 + 11*r - 11. Let g(n) = 3*n**2 + 2*n - 2. Let h(v) = -11*g(v) + 2*m(v). What is -f(z) - 2*h(z)? 2*z**3 + z Suppose y - 4 = 3*y. Let g(d) = -21*d**3 + 11*d**2 + 5*d + 16. Let p(w) = 4*w**3 - 2*w**2 - w - 3. Suppose 0 = 10*s - 7*s + 33. Give s*p(u) + y*g(u). -2*u**3 + u + 1 Let a(v) = -2*v - 1. Let q(b) = -3*b - 8. Let d be q(-5). Let s(x) = 3*x + 1. What is d*a(f) + 5*s(f)? f - 2 Let n = -14 - -7. Let f be (n + 2)*9/(-15). Let d(x) = -3 + x**2 - f*x**2 + 3 - 4*x. Let h(t) = t. Determine d(o) + 4*h(o). -2*o**2 Let o(n) = n. Suppose 0 = -10*v - 54 - 6. Let d(f) = -2*f + 1. Determine v*o(u) - d(u). -4*u - 1 Let f = 9 - 10. Let w(v) = v**3 - 4*v**2 + 0*v**2 + 36 - 36. Let n(y) = -y**3 + y**2. What is f*w(x) - 3*n(x)? 2*x**3 + x**2 Let d(i) = -3*i**2 - i + 6. Let h(n) = 2*n**2 + n - 5. Give 4*d(z) + 5*h(z). -2*z**2 + z - 1 Let s(d) = -d - 1. Let g(b) = -6*b**2 + 5*b + 5. Suppose 0*i - 5 = -4*m - i, 3*i = m + 2. Determine m*g(c) + 5*s(c). -6*c**2 Let f(n) = -5*n + 5. Let z(j) = -2*j + 5. Let r(v) = -4*v + 11. Let x(t) = -2*r(t) + 5*z(t). What is 3*f(y) - 5*x(y)? -5*y Let o(n) = -17*n + 8. Let w(i) = 17*i - 7. Determine -6*o(p) - 7*w(p). -17*p + 1 Let v(x) = 15*x**2 + 18*x + 18. Let o be (1 + 2 + -1)/(-2). Let t(k) = -k**2 - k - 1. What is o*v(m) - 18*t(m)? 3*m**2 Let c(t) = -8*t**3 + 8*t - 10. Let g(s) = s**3 - s + 1. What is 2*c(w) + 18*g(w)? 2*w**3 - 2*w - 2 Let s(k) be the third derivative of k**4/6 - k**3/6 + 58*k**2. Let r(c) = 3*c. Give -3*r(y) + 2*s(y). -y - 2 Let p(h) = 1 - 2 + 0 - h. Suppose -4*a = 2*w - 20 + 2, -2*w - 12 = -2*a. Let g be (-3 + 3 + -13)*w. Let s(k) = 2*k + 2. Calculate g*p(t) + 6*s(t). -t - 1 Let m be 0 + 3/(-6)*6. Let j be m/(9/(-24)*-4). Let f(l) = 2*l**3 - l**2 + 1. Let a(p) = -p**3 + p**2 - 1. What is j*f(h) - 2*a(h)? -2*h**3 Suppose 0*m - 10*m + 50 = 0. Let y(v) = v - 1. Let i(p) = 3*p - 7. Determine m*y(w) - i(w). 2*w + 2 Let m(r) = 9*r**2 - 3*r. Let f(a) = 4*a**2 - a. Let o = 2 + -4. Suppose -k = -2*y - 2 - 8, -5*k - 5*y = -65. Suppose 3*j - 3 = k. Give j*f(z) + o*m(z). 2*z**2 + z Let b(u) = 11*u - 4. Let o(d) = -21*d + 7. Determine 5*b(m) + 3*o(m). -8*m + 1 Let w(m) = -m + 4. Let x(p) = p - 4. Let g = -3 + -2. Suppose 0 = q + 4. Let f(d) = g*x(d) + q*w(d). Let t(a) = -1. What is -f(z) - 5*t(z)? z + 1 Suppose -4*r - 5*m = -58, -r + 9 = -m - 10. Let s(o) = -4*o**3 - 6*o**2 + 6*o. Let v(k) = -12*k**3 - 17*k**2 + 17*k. Calculate r*s(z) - 6*v(z). 4*z**3 Suppose -o - o - 6 = 0. Let d = o - -5. Let s(k) = 2*k - k**3 + 4*k**2 - 4*k**d + 4*k**2. Let c(a) = -3*a**3 + 11*a**2 + 5*a. Calculate 3*c(f) - 8*s(f). -f**3 + f**2 - f Let o(v) = 4346*v**3 + 159*v**2 - 159*v - 159. Let q(l) = 55*l**3 + 2*l**2 - 2*l - 2. Calculate 2*o(i) - 159*q(i). -53*i**3 Let r(a) = -a**3 + a**2. Let p(j) be the second derivative of j**5/5 - j**4/2 + j**3/3 + 6*j. Calculate -p(k) - 6*r(k). 2*k**3 - 2*k Let p(q) = -4*q**2 - 2*q + 5. Let j(k) be the first derivative of -3*k**3 - 2*k**2 + 11*k + 8. Calculate -3*j(f) + 7*p(f). -f**2 - 2*f + 2 Let q(s) be the first derivative of -2*s**3/3 - s**2/2 + s - 4. Let l(r) = r**2 - r + 1. Calculate -l(z) + q(z). -3*z**2 Let x(f) = 16*f**3 + 6*f**2 + 11*f + 21. Let n(m) = -3*m**3 - m**2 - 2*m - 4. Determine 11*n(q) + 2*x(q). -q**3 + q**2 - 2 Let i(s) = -2 + 2 - s. Let g(t) be the first derivative of 3*t**2 + 2*t + 1. Suppose 13*w - 15*w = -16. What is w*i(q) + g(q)? -2*q + 2 Let z(u) = -8*u + 3. Let k be -10*((-12)/(-8) + -2). Let w(b) = -7*b + 2. Give k*w(o) - 4*z(o). -3*o - 2 Let a = -48 + 43. Let r(s) = 5*s - 7. Let b(j) = -3*j + 5. What is a*r(y) - 8*b(y)? -y - 5 Let o = 8 - 3. Let w be o - (0/1)/2. Let j(y) = -y - 2. Let f(g) = -g - 3. Let u be (3 + (-15)/10)*8/(-3). Give u*f(m) + w*j(m). -m + 2 Let q = 0 - -1. Let x = -6 + q. Let v(u) = 2*u**2 - 6*u. Let p(b) = 2*b**2 - 7*b. Give x*v(l) + 4*p(l). -2*l**2 + 2*l Let m be 1 - (0 + -12 + 2). Let n(q) = q + 6. Let g = -1 - -3. Let f(o) = 1. Let l(x) = 1. Let k(a) = f(a) - 2*l(a). Determine g*n(v) + m*k(v). 2*v + 1 Let o(m) = -68*m + 5. Let s(d) = -17*d + 1. Determine 2*o(q) - 9*s(q). 17*q + 1 Suppose 2*m - 3*m + 4*g - 7 = 0, -12 = 3*m - 3*g. Let c(n) = n**3 + 2. Let r(q) = -2*q**3 - q**2 - 3. Give m*c(y) - 2*r(y). y**3 + 2*y**2 Let y(j) = -j**3 + j**2 - j - 1. Let m(u) = 6 + u**2 - u**3 + u**2 - 8*u**2 + 5*u + 6*u**3. Determine -m(i) - 6*y(i). i**3 + i Let t(y) = -y. Let g = 18 + -12. Let h(a) = 2*a. Let o(q) = -q. Let b(d) = -5*h(d) - 5*o(d). Determine g*t(l) - b(l). -l Let h(p) be the third derivative of -13*p**6/120 - 7*p**5/60 + p**4/24 - 2*p**3/3 - 24*p**2. Let j(c) = 9*c**3 + 5*c**2 - c + 3. Determine -5*h(o) - 7*j(o). 2*o**3 + 2*o - 1 Let o(f) = f**3 + 9*f**2 + 9*f + 9. Let k be o(-8). Let p(t) = 7*t + 7. Let i(z) = z + 1. Determine k*p(s) - 5*i(s). 2*s + 2 Let j = 1 + -1. Suppose -7 = -4*c - k - j*k, 3*k - 5 = -4*c. Let g(l) = 8*l**2 + 7*l. Let z(o) = -o**2 - o. Give c*g(q) + 14*z(q). 2*q**2 Let z be -1 + (2 + 3 - 2). Let n(o) = 3*o + o**z - o - o. Let w(j) = -6*j**2 - 3*j + 1. Determine -5*n(p) - w(p). p**2 - 2*p - 1 Let z(q) = -q - 1. Let s(d) = 2*d + 6. Calculate s(m) + 5*z(m). -3*m + 1 Suppose 4*f + 52 - 80 = 0. Let b(j) = -2*j + 6*j - 2*j - 3. Let a(t) = -4*t + 5. What is f*b(p) + 4*a(p)? -2*p - 1 Let y(w) = w**2 - 3. Let o(p) = -p**2 - 1. Determine -2*o(d) + y(d). 3*d**2 - 1 Let b(h) = 11*h - 14. Let g(f) = 4*f - 5. Suppose -87 + 19 = 4*r. Determine r*g(z) + 6*b(z). -2*z + 1 Suppose 0 = -3*l + 6*l - 6. Let f(i) = -6 + 21 + 4*i - l*i**2 - 11. Let o(w) = w**2 - 2*w - 2. Give -4*f(g) - 9*o(g). -g**2 + 2*g + 2 Let j(h) = -2*h**3 + 8*h**2 - 7*h + 7. Let u(p) = -2*p**3 + 7*p**2 - 6*p + 6. Suppose 12 = -3*i - 0. Let a be (-47)/7 + i/14. What is a*u(w) + 6*j(w)? 2*w**3 - w**2 Suppose -5*l - 17 = 5*y - 2*l, 4*y - 12 = 4*l. Let q(u) = 4*u**2 - 2. Let j(p) be the second derivative of p**4/12 - p**2/2 + 2*p. Give y*q(z) + 2*j(z). -2*z**2 Let h(r) = 8*r**3 + r**2 - 4*r. Let t(d) = -24*d**3 - d**2 - 3*d + 8*d + 40*d**3 - 25*d**3. Give -5*h(v) - 4*t(v). -4*v**3 - v**2 Let n(v) = 4*v**2 - 15*v - 6*v**2 + 12*v**2 + 13. Let s(d) = -5*d**2 + 7*d - 6
{ "pile_set_name": "DM Mathematics" }
False Is 22 a factor of 263 + -2 + 5 - 2? True Let f be (8 - 4)/(4/3). Suppose -f*b = -b - 56. Suppose -5*x = -4*g + b + 9, 28 = g + 5*x. Is 13 a factor of g? True Let k = 4004 - 1171. Is 6 a factor of k? False Suppose v = 3*v - 8. Suppose r - 89 = v*f, -5*f + f = -12. Does 17 divide r? False Let o(f) = f**2 - f - 11. Let p be o(9). Suppose 3*u - p = 71. Suppose 106 + u = 3*k. Is 14 a factor of k? False Suppose 11*y = 12*y + 86. Let l = -58 - y. Does 7 divide l? True Is 19 a factor of (-4)/(-3 + (-3471)/(-1161))? False Suppose -2*p = -4*s + 4, 4*s + 4*p + 8 = 9*p. Does 3 divide s? True Suppose -5 = -3*l - r + 7, 2*l = -5*r + 8. Suppose x = 5*x - 4, -5*i + 614 = l*x. Is 39 a factor of i? False Let o(b) = 45*b**3 - b**2 + b + 2. Let c be o(-2). Is (-3)/((-36)/(-8)) + c/(-6) a multiple of 4? True Let o(h) = -h**3 + 8*h**2 + 2*h - 3. Let m be o(4). Let q = 105 - m. Suppose 3*x = 2*x + q. Is 15 a factor of x? False Is 34 a factor of 15/(-6)*16/20 + 1664? False Is 4 a factor of 8/(-36) + (-7)/(252/(-9872))? False Let p(n) = 78*n + 84. Let l be p(6). Suppose -4*b + 6*b = l. Is b a multiple of 23? True Let i(u) = -u**2 + 12*u + 22. Suppose -4*j = -15*j + 143. Does 9 divide i(j)? True Let s = -54 - -56. Suppose s = -2*x + 20. Does 4 divide x? False Let c(k) = k**3 - 16*k**2 + 8. Let z be c(16). Is 1 + (-14)/8 + 678/z a multiple of 14? True Let h(l) be the first derivative of -25*l**2/2 + 3*l - 8. Is 14 a factor of h(-1)? True Suppose -3*c + 12 = 0, 31*z = 35*z + 5*c - 5396. Does 21 divide z? True Let v = 4 - 1. Let m = -12 + 23. Suppose v*n = -5*c + 84 + m, 0 = 2*n. Does 16 divide c? False Let b = 283 + 91. Is b a multiple of 41? False Let g = -2025 - -2860. Is 16 a factor of g? False Let c(i) = -44*i - 37. Let r(b) = 43*b + 36. Let o(j) = 5*c(j) + 4*r(j). Is 12 a factor of o(-4)? False Let y(j) = -11*j**2 - 6*j**2 + 7 - j**3 + 0*j**3 - 18*j. Let i be y(-16). Suppose w + 6 - i = 0. Is 11 a factor of w? True Suppose 5*x = -61*g + 65*g - 9412, 3*g = -x + 7040. Is 106 a factor of g? False Suppose q - 4800 = -14*q. Is 20 a factor of q? True Let m = -247 + 604. Is 21 a factor of m? True Suppose -5*g - m = -6147, m = -21*g + 18*g + 3687. Is 106 a factor of g? False Let z(c) = -26*c + 2. Let k(y) = -2*y**2 - 12*y - 1. Let p be k(-6). Is 7 a factor of z(p)? True Is 13 a factor of ((-1805)/(-70) - 2/7)*18? False Let a(j) = -j**3 - 2*j**2 - 16. Does 32 divide a(-7)? False Let w(p) = -4*p**3 - 19*p**2 - 14*p - 29. Is w(-5) a multiple of 11? True Let z be 4/(-2)*(-18)/12. Suppose 2*v - 15 = -z. Is 6 a factor of v? True Suppose 5*s + 865 = 2*m, 3*m + 2*s = 4*m - 430. Is m a multiple of 21? True Suppose -5*m - 2*r + 11 + 14 = 0, 0 = 3*m + 4*r - 1. Suppose 3*n + 8 + m = 0, 5*v - 3*n = 170. Does 9 divide v? False Let q(j) = -5*j**2 + j - 1. Let d be q(1). Let t be 6 + d + (1 - 0). Suppose -3*c = -4*h + 77, t*h = 3*c + 9 + 22. Is h a multiple of 10? False Is (-3842)/(-6) - (10 + 512/(-48)) a multiple of 6? False Suppose 42 = -5*v - 2*g - 38, 4*g = -20. Let a = 15 + v. Let l(y) = 15*y + 1. Is 14 a factor of l(a)? False Let a = 1699 - 551. Does 41 divide a? True Let c(k) = k**3 - 12*k**2 + 6*k + 12. Let q be c(12). Suppose -q = -3*a - 4*a. Is a even? True Suppose -5*u - 4633 = -3*i, -109*i - 5*u - 6174 = -113*i. Is i a multiple of 10? False Suppose a = 5*m + 53, 4*m + 146 = 2*a + 2*m. Let x = -18 + a. Is x a multiple of 15? True Suppose -122 = -4*w - 5*i + 871, -3*w + 762 = -2*i. Suppose 80 - w = -2*c. Does 22 divide c? False Let i be -1 - (-6)/(-2)*-2. Suppose i*q + 3*z = q + 31, 0 = -3*q + 4*z + 42. Let b = -1 + q. Is 9 a factor of b? True Suppose -2*d + 2*s - 4 = -18, -4*s = -3*d + 24. Suppose -10 = -k - d*k. Suppose 5*j + 0*z + z - 253 = 0, -k*z = j - 47. Does 20 divide j? False Suppose -3*o - r = 4*r - 40, 2*r = 2*o - 16. Let q = 35 - o. Suppose 0 = -4*l + q + 119. Does 15 divide l? False Let u(o) be the first derivative of o**3/3 + 2*o - 2. Suppose 0*s - 16 = 4*s. Is u(s) a multiple of 17? False Suppose -361 = -5*t + 2*t + 5*q, -t - 3*q = -111. Suppose 3*k + 165 = -5*x, 0 = -6*k + 2*k - 5*x - 215. Let a = k + t. Does 19 divide a? False Let v = 177 - 107. Is v a multiple of 4? False Suppose -4*c - 3 = -i - 0*c, -5*c = -2*i. Let q = i - -26. Is q a multiple of 4? False Let h = -27 + -117. Let s = h + 222. Does 5 divide s? False Let y = -2469 - -5099. Is -2 + 24/13 - y/(-26) a multiple of 20? False Let c(m) = m**3 + 2*m**2 - 6*m + 213. Is 35 a factor of c(0)? False Suppose -4*t = j - 1028, 4*j = 2*t - 7*t + 4167. Let b = j + -748. Is 47 a factor of b? False Let d be (-1)/(-4) - 10716/(-16). Is d/7 + 76/266 a multiple of 33? False Let o = 24 - 20. Suppose 8 = -o*c, c = -3*x - 0*c + 16. Does 5 divide x? False Let a(q) = -q - 4. Let p be a(-7). Let g be p*((-14)/(-3) - 3). Let u(k) = 6*k + 4. Is u(g) a multiple of 17? True Let f(g) = -g**3 + g**2 + 1. Let o(t) = -4*t**3 + 11*t**2 + 6*t + 6. Let c(r) = -5*f(r) + o(r). Let w be c(-6). Let y = 65 + w. Is 15 a factor of y? True Let k be 5/(2/2 - 0). Suppose 0 = -2*b - 3*w + 201, k + 0 = 5*w. Is b a multiple of 11? True Let l(o) = 482*o**3 + 6*o**2 - 6*o. Is l(1) a multiple of 13? False Let d(b) = b**3 + 7*b**2 - 2*b + 336. Is 19 a factor of d(0)? False Let x(s) = -s**2 + s - 9. Let b be x(-4). Let w = 50 - b. Is 17 a factor of w? False Suppose 36*t - 31*t = -2*c + 25, c = -3*t + 11. Is 7 a factor of c? False Let z(k) = 33*k**2 + 7*k - 10. Let u be z(-5). Suppose -18*x - u = -23*x. Is x a multiple of 29? False Let r(o) be the first derivative of 3*o**4/2 - o - 1. Let g be r(1). Suppose -g = 2*u - 53. Does 12 divide u? True Is (196/(-3))/(753/54 + -14) a multiple of 12? True Suppose -178 = -2*n + h, -4*n + 5*h + 578 = 210. Let v = n - 5. Does 13 divide v? False Let l(v) = -21*v - 1. Let t be l(1). Let i = t + 11. Is 3 a factor of (i + 15)*15/4? True Suppose 4*c - 22 = -p + 16, 2*c - p = 16. Is 11 a factor of (1/3)/(c/4455)? True Let c(h) = 1035*h**2 - 22*h - 24. Is 11 a factor of c(-1)? False Let v(u) be the first derivative of 5*u**4/2 - u**3 + 2*u**2 - 6*u + 45. Does 21 divide v(3)? False Let k = -742 + 1297. Is k a multiple of 13? False Suppose 126 = 13*h - 12*h. Suppose 18 = 6*k - h. Is 8 a factor of k? True Let n = -1 - -5. Suppose n*c + o - 17 = 0, 5*o = 3 + 2. Is (0 - 6/c)*-46 a multiple of 23? True Suppose 27*d = 16*d + 11528. Is 5 a factor of d? False Let z = -35 - 4. Is 7 a factor of (-1)/1*(-12 + 9) - z? True Suppose -4*t + 5*i + 217 = 0, 2*t + 216 = 6*t - 4*i. Let p = -7 + t. Suppose -p = -2*u - 2*o, -u - 5*o + 13 + 10 = 0. Is u a multiple of 6? False Let x(t) = -t**2. Suppose -5*p + 2 = 7. Let i(w) = 15*w**2 - 3*w + 3. Let h(n) = p*i(n) - 18*x(n). Is h(-3) a multiple of 11? False Let x = 517 - -893. Is 100 a factor of x? False Let r = 15 - -4. Let n = r - 21. Let d = 33 - n. Is d a multiple of 14? False Let j(s) = -19*s + 17. Suppose z = 6*z - o + 5, 3*z = -3*o - 21. Is 11 a factor of j(z)? True Is 930/279*18/4 a multiple of 15? True Is 5 a factor of ((-2154)/10)/(33/(-110))? False Let g(f) = 2*f**2. Let a be g(-1). Let u(q) = -q + 4. Let w be u(0). Is 1035/18 + a/w a multiple of 16? False Let m be 9*-3*(-4)/12*-30. Let p = -162 - m. Is p a multiple of 23? False Suppose 1 = -2*d + 3. Let j = d + 2. Is 4 a factor of 1/(-3*j/(-72))? True Let c(f) = 23*f - 1. Let i(y) = -y**2 + 17*y - 15. Let o be i(16). Is 22 a factor of c(o)? True Suppose -1505 - 310 = 11*j. Does 11 divide (j/2)/((-30)/80)? True Let x(y) = 15*y**2 + y - 2*y - 2*y**2 + 16 - y**3. Let n be x(13). Does 20 divide (-68)/n*3/(-2)? False Let u(t) = t**2 + 13*t + 2. Let i be u(-13). Suppose v = -4*v, i*v + 14 = n. Is 7 a factor of n? True Suppose -4*y - 615 = -115. Let a = 221 + y. Is 16 a factor of a? True Let r = -65 + -68. Let t = 201 + r. Does 35 divide t? False Suppose -54*x + 53*x + 368 = 0. Is 16 a factor of x? True Let q(o) = 3*o**2 + 13*o + 9. Let h(j) = -j**2 - 6*j - 5. Let x(b) = -5*h(b) - 2*q(b). Let t be x(5). Does 14 divide 1/t*4 - -21? False Suppose 6*a - a - 105 = 0. Let m = a + -16. Suppose 5*x - 74 = o + 131, m = -o. Is x a multiple of 10? True Let i(f) = -f**3 - 4*f**2 - 4*f + 2. Let j be i(-3). Suppose -327 = -j*o - 82. Is 16 a factor of o? False Let u(a) = -240*a + 10. Is u(-2) a multiple of 5? True Let q(j) = j**3 + 7*j**2 + 5*j
{ "pile_set_name": "DM Mathematics" }
23882 - 253828. Is m a prime number? True Suppose -1174*b = -1165*b - 493713. Is b a composite number? True Let l = 6366 + -5515. Is l a composite number? True Suppose 0 = 146*f - 147*f - 2*h + 588547, 4*f + h = 2354237. Is f composite? True Let r be (-2)/8*(-768)/32. Suppose -3*f + 3 = 9. Is ((-2)/r)/(f/9066) a composite number? False Suppose -8*d + 0*d + 280 = 0. Let a = -40 + d. Is a + 1 + 1 - -2050 prime? False Let o(k) = -k + 5. Let h be o(0). Let z be (h + 1)*(-1)/(-1 - -4). Let u(l) = -69*l**3 + l**2 + l. Is u(z) a prime number? False Let l be (-1692112)/(-170) - (-6)/(-10). Suppose -7*o + 12986 = -l. Is o prime? False Suppose -209950 = -4*h + t, 3*h + 151*t - 157479 = 149*t. Is h a composite number? False Suppose 0 = 3*t - 62*o + 61*o - 260066, 0 = -4*o - 20. Is t a prime number? False Let b be 5 + (0/5 - 0). Suppose 3*u - 106 = b. Suppose u*s = 33*s + 716. Is s a composite number? False Suppose 73*h + 224 = 65*h. Is (-195018)/(-42) - (-8)/h composite? False Suppose 0 = 2*a - 2*g - 3214, -a + 5*g + 1033 + 566 = 0. Let b = 2836 - a. Is b composite? True Suppose -2*q - 616 = -9*q. Let m = q - 22. Suppose v - m = 385. Is v composite? True Is (2/(-9))/(300/(-17524350)) a composite number? True Let v = -2 + -9. Let r be 2576/253 - (-2)/v. Is r/(-4)*1778/(-35) prime? True Let m = -109 + 113. Suppose -m*r - 4*h = -2604, -5*h + 2*h = r - 641. Suppose 3*w - 43 = r. Is w composite? False Suppose 222*a - 5155364 + 11547815 = 49552137. Is a composite? False Suppose -3*a - x + 1990549 = 0, 0 = 9*x - 3*x + 12. Is a a prime number? True Let s(z) = 123*z - 2645. Is s(64) a prime number? True Suppose n = -4, 3*r = -5*n - 22 - 4. Suppose 0 = 166*f - 184*f - 288. Is r*4/f*-6 - -362 a prime number? True Let i be (0/(0 - -1))/(-2). Suppose -s = y + 6 - 39, 5*y + 3*s - 167 = i. Is (-3)/2 + 26197/y composite? False Let s(r) = -r**3 - 84*r**2 - 187*r + 213. Is s(-82) a composite number? False Suppose 2*n - 6 + 0 = 0. Let x be 1/n + 440/30. Is (-38)/(-3*10/x) a prime number? True Let m(c) = 199560*c**2 - 117*c - 118. Is m(-1) composite? False Let i = -87 - -91. Suppose 10 = 2*w + 4*s, -4*s + 2*s = i*w - 20. Suppose -a = w*a - 6906. Is a prime? True Let r = 257 + -265. Is r/(-8)*(-1 + 260) a prime number? False Suppose 21*i - 14 = 14*i. Suppose -4*g + i*j + 27542 = 0, -2*g - 2*j + 0*j + 13756 = 0. Is g prime? True Let i(c) = 142*c**3 - 2*c**2 + 4*c - 8. Let n be i(-4). Let v be ((-14)/(-8))/((-6)/n*3). Let f = 1678 - v. Is f a composite number? True Let k(x) = -31*x**3 - 3*x**2 - x - 3. Let j = 27 - 32. Let w be k(j). Suppose v - 3*n = w, 4*v - n - 24119 = -8900. Is v prime? False Let b = 134 + -141. Is 41700/18 + b + (-4)/6 a prime number? True Let d(p) = 4513*p**2 - 5*p + 19. Let l be d(11). Suppose 0 = -32*f + l - 116693. Is f a composite number? False Let h(k) = -7120*k**3 - 5*k**2 + 20*k + 134. Is h(-4) prime? False Let h(m) = -244*m**3 - m**2 - 4*m + 5. Let l be h(2). Let c = l + 5362. Let j = c + -450. Is j composite? False Suppose -108 + 88 = 4*s. Is -6 + 13 + s + 2607 prime? True Let i(r) = -2*r**3 - 2*r**2 + 6*r - 7. Let p be (-6)/(-2) + -1 + 3. Suppose 0 = -7*o + 8*o + p. Is i(o) composite? False Let o(y) = 3*y**2 - 16*y + 20. Let f be o(12). Suppose -1379 = -w + f. Is w a composite number? True Let j(y) = 2*y**3 + 105*y**2 + 83*y + 631. Is j(-51) a prime number? True Suppose -40*o + 61*o = 465486. Is o prime? False Is ((-5)/(-3))/((-95)/(-5347113)) composite? False Suppose -93*l = -12622828 + 512494 - 18988029. Is l prime? False Let k(n) = 94*n**3 + 13*n**2 + 8*n + 211. Is k(10) prime? False Is -5755*((-576)/40 + 7) composite? True Suppose 48*a = 47*a + 3. Suppose -a*g = 2*d - 2*g - 46, 0 = -2*d - 3*g + 50. Is (1 + -99 - 3)/((-2)/d) prime? False Suppose 0 = -10*a + 3*a. Let b(r) = -3*r**2 + 1193. Is b(a) prime? True Suppose 6211 = 2*d + r - 2048, 0 = -d + 4*r + 4143. Let h = d + 1250. Is h prime? True Let w(c) = -449*c - 956. Is w(-13) a composite number? True Let f = -451 - -416. Is (-4)/14 + 7 + (-80580)/f a prime number? True Let z(y) = 29*y**2 - 90*y + 2927. Is z(30) prime? False Let j(u) = u**3 - 4*u**2 + 3*u. Let l be j(2). Let s be -7 - l - (1 - 8). Is 11/s*1432/4 a prime number? False Let t(i) = 8*i - 103. Let q be t(17). Suppose -q*l - 1602 = -39*l. Is l composite? True Let r(c) = -260*c**3 - 4*c**2 - 8*c + 18. Let h be r(-5). Let n = h + -13481. Is n composite? True Let r(b) = 71*b**2 + 12*b + 19. Let y(d) = 2*d + 2. Let x be y(-6). Is r(x) composite? True Let p be (2 - 1)/(2629/6314 + (-3)/7). Let q be 930/8 + 2/(-8). Let a = p + q. Is a prime? False Suppose 27543249 + 53634732 = 687*i. Is i composite? False Let t(b) = 818*b + 25. Let f(z) = -z**2 - 12*z - 24. Let y be f(-6). Is t(y) a composite number? True Let n = 62 - 53. Suppose -n*c + c = 0. Suppose -3*h + 5918 = 4*l, h + 1483 = l - c*h. Is l composite? False Let x = 21583 + -1262. Is x prime? False Let u(f) be the first derivative of 62*f**2 - 53*f + 40. Is u(21) prime? True Let k(u) = -2*u + 2*u**3 - 4*u - 4*u**3 + 12 + 5*u**2 + 3*u**3. Let y be k(-6). Suppose y*w + 4108 = 16*w. Is w a prime number? False Let d = -3870 + 2560. Let t = d + 2559. Is t composite? False Suppose 5*x = 5*y - 11 - 9, y - 5*x - 12 = 0. Suppose 0 = 2*d - 0*d - y, h + d - 3974 = 0. Is h a prime number? False Let w = 2231372 - 1516591. Is w composite? False Suppose -22750 = 5*b - 5*i, 13615 = -3*b - i - 3*i. Let w = 6459 + b. Is (46/10 - 5) + w/10 composite? False Suppose -k + 18 + 1 = 4*l, 3*k = -5*l + 22. Let g be (-1)/l + 572/10. Suppose -m - 4*j = -3*m + 154, 0 = m + 2*j - g. Is m composite? False Suppose 239*l = 4631488 + 6001861. Is l a composite number? False Suppose -3 = 5*g + c, -4*c + 12 = -4*g - 0*c. Is ((-4971)/(-6))/g*(9 - 11) composite? False Suppose -5*s = 2*m - 2104, 4*m + 5*s = 2*s + 4208. Is (0/(-2))/(-2) + m + -13 composite? False Let l(x) = -1213*x - 237. Suppose -69 = 5*h - 3*t - 14, 2*t = 10. Is l(h) prime? True Let x(u) = 5*u**2 + 11*u + 16. Let k(j) = 8*j - 3. Let w be k(2). Let n be x(w). Suppose 18*z + n = 22*z. Is z composite? False Suppose 4960532 = 122*d - 2681919 + 963073. Is d a prime number? False Suppose -10*q + 6*q = -448. Let u(s) = 3*s - 12. Let g be u(5). Suppose g*n - 2 = q. Is n composite? True Let n = 235769 + -46132. Is n prime? False Let c = 185421 + -112750. Is c a prime number? True Suppose -10*x - x = -1715131. Suppose 3*m - 64279 = x. Suppose 20945 - m = -15*i. Is i a prime number? False Let t(p) be the third derivative of -p**5/60 - p**4/24 + 2629*p**3/6 - 7*p**2 + 14. Is t(0) prime? False Let v = -44 - -73. Suppose q - 5 = -j - 0*q, 5*q + v = j. Let r(y) = y**3 + 10*y**2 - 16*y + 2. Is r(j) a prime number? False Suppose 3*c + 12 = 30. Let y be (-4)/(-6) + 104/c. Let o = y + 123. Is o prime? False Let x(s) = 91*s + 3. Let t(j) = -47*j - 4. Let g(l) = 142*l + 13. Let w(i) = -4*g(i) - 14*t(i). Let r(a) = 3*w(a) - 2*x(a). Is r(5) a composite number? True Suppose 3911 = -67*m + 293. Let o be (-6 + 106)*(-8)/(-10). Let c = o + m. Is c composite? True Let k be (-26)/(-6) + 22/33. Suppose p + k = 9. Suppose 4*f - 4*o + 9*o = 2526, 2506 = p*f - 5*o. Is f prime? False Let h = 11 - 1. Suppose -h*z = 912 - 12782. Suppose -s - 2*q = -299, -4*s - 5*q + 0*q + z = 0. Is s prime? True Let i(p) = 10*p + 36. Let q be i(-15). Let f = q + 120. Suppose -2*k - 3*o + f*o + 2389 = 0, -2*k = 4*o - 2410. Is k composite? True Suppose -11*t - 443669 + 144161 = 0. Is t/(0 - 4) - (-2 - -4) a prime number? False Let a = -21 + 32. Let k(l) = -34*l - 123*l - a - 207*l + 69*l. Is k(-4) a composite number? True Is ((-262754)/(-316))/(2/284) a composite number? True Suppose 3 = -4*m + 5*m. Suppose -x + k = -m*x + 6213, -3*k - 3110 = -x. Let f = x + -1398. Is f a prime number? True Suppose -317*o - 999317 = -67*o - 4386567. Is o a prime number? False Let m(u) = -u**3 + 6*u**2 + 7*u + 5. Let h be m(7). Let z be (-2)/(-4)*(137 - -3)/h. Suppose -z*n - 142 = -15*n. Is n prime? False Is (6/(-15) + 23/20)/((-309)/(-49662068)) prime? True Let w be 4 + -5 - 90/10. Is 52044/18*(-15)/w prime? True Let o(v) = 446*v**3 + 4*v**2 - 3*v + 14. Is o(5) prime? True Suppose 210*r + 3573531 - 6331355 = 17219266. Is r composite? True Let o(t) = 2341*t - 1685. Is o(16) composite? False Suppose -46*y + 47*y = -3*u +
{ "pile_set_name": "DM Mathematics" }
+ 3*j)*(0*j**2 - 4*j**2 + 3*j**2) - j**3 - 2*j**3 + 4*j**3) + j**3 + 0*j**3 - 4*j**3. -2*j**3 Expand (-3 + 3 + 2*c**3 + (c - c + c)*(-c + c**2 + c))*(-4 + 0 + 3)*(0*c + 0*c - 2*c + (-2*c - c + c)*(-2 + 3 + 0) + c - 1 + 1 - 40*c + 61*c - 50*c). 96*c**4 Expand (-2 + 0 - 1)*(-47*q + 3*q + 2*q - 104*q). 438*q Expand (-1 + 1 - 2*u)*(-49 + 94 + 102 + 6). -306*u Expand (2*b - 2 + 2)*(-2 + 3 + 0)*(-31 + 1 - 14). -88*b Expand (2 + 0 - 1)*(0*n + 0*n + n) + 3*n + 0 + 0 + 5*n - 3*n - 8*n + 7*n + 102 - 131 - 6*n. -n - 29 Expand (0 - 29 + 3)*(3 - 1 - 1)*(q**2 + 2*q**2 - 5*q**2) + (3*q - 4*q - q)*(-q + 5*q - 2*q). 48*q**2 Expand 15*c**2 + 7*c**3 + 15*c**3 - c**3 - 24*c**2 + 0*c**3 + c**3 + 0*c**3 + (-2*c**2 + 3*c**2 + 0*c**2)*(-5*c + c + 2*c) - 2*c + 2*c - c**3. 19*c**3 - 9*c**2 Expand (-23 + 4 + 9 + (-1 + 4 - 4)*(-2 + 1 - 1))*(-3*l**3 + 4*l**3 - 2*l**3) - l**3 - 2 + 2 + (-l + 17*l + 0*l)*(2*l**2 - 1 + 1). 39*l**3 Expand -p**4 + 0*p**4 - p**4 - p + 3*p**4 + p + (2*p**2 - 2*p**2 - 7*p**3)*(-3 - p + 3) + 4*p**4 - 3*p**4 - 2*p**4. 7*p**4 Expand 2*z - z + 0*z + (-4 + 1 + 2)*(z - 4*z + z) - 10*z - 5*z - 70*z. -82*z Expand -3*v**4 + 0*v**4 + 4*v**4 + (2*v**2 + 2*v**2 - 2*v**2)*(-2*v**2 + 4*v**2 - 4*v**2) + 4*v**4 - 6*v**4 - 2*v**4 + 2*v - 7*v - v + 2*v**4. -5*v**4 - 6*v Expand 5*v**2 - v**2 - 2*v**2 + 2*v**2 - 4 + 4 + (2*v - v + 0*v)*(2*v - 3*v + 0*v) - 17*v**2 - 19*v**2 + 7*v**2 + 3*v**2 + 2 - 2 - 3*v**2 - v**2 + 3*v**2. -24*v**2 Expand -2 - 2*y**3 + 2 - 5*y**3 + y**3 + 2*y**3 + (0 + 0 - 2*y**2)*(2*y + 2*y - 2*y) + (-y + 2 - 2)*(-y**2 + 2*y**2 + y**2) + (1 - 2*y**3 - 1)*(5 - 1 + 8). -34*y**3 Expand (s**3 + s**3 - s**3)*(16 - 29 + 83) + s - s - s**3 + (4 + 2*s**2 - 4)*(4*s - 2*s - 3*s). 67*s**3 Expand (3*b - 5*b + 0*b)*(27 - 17 + 3). -26*b Expand (-v + 4*v**2 + v)*(48 - 1105*v - v**2 + 1105*v). -4*v**4 + 192*v**2 Expand ((-4*n**2 + n**2 - n**2)*(3 - 2 - 3) + 3*n**2 + 0 + 0 + (-2*n + 3*n + 2*n)*(3 - 3 - 2*n))*(2 - 6 + 2). -10*n**2 Expand (4 - 4 + 3)*(3*q - 3*q + q)*(-q**3 + 0*q**3 + 3*q**3 - 2*q**3 - 2*q**3 + 7*q**3 + (0*q**2 - 3*q**2 + 5*q**2)*(3 - 3 - 2*q)). 3*q**4 Expand (-220 + 57 - 66*k**3 + 68*k**3)*(-k + 2*k + 2*k - 1). 6*k**4 - 2*k**3 - 489*k + 163 Expand (4 - 5 + 4)*(-2503 + 57*u + 2503). 171*u Expand (0*p**3 + 5*p**3 - 4*p**3)*(-31*p**2 + 28*p - 28*p). -31*p**5 Expand (-14*u + 7*u - 4*u)*(0 + 2 + 1)*(-1 - 3 + 1). 99*u Expand (2*q - 2*q + 3*q**2)*((6 + 0 - 5)*(0*q - 3*q + 0*q) + (4*q - q - 2*q)*(1 + 9 + 1)). 24*q**3 Expand (a**2 + 6*a**2 - a**2)*(-3*a - a + 6*a) + (30 - 82 + 2)*(3*a**3 - 2*a**3 + 2*a**3). -138*a**3 Expand 5 + 3*m**2 - 98749*m + 98750*m - 34 + (-m + 0 + 0)*(3 + 2*m - 3) - 2*m**2 + 4 - 4. -m**2 + m - 29 Expand (0 + g**4 + 0)*(1513 + 217*g - 1513 + (0 + 1 + 0)*(-3*g + 2*g + 3*g)). 219*g**5 Expand (39*m + 75*m - 3*m)*(-2*m + 0*m + 4*m) - m**2 + 6*m + 2 - 6*m. 221*m**2 + 2 Expand (-g**3 - 4*g**3 + g**3 + (-3*g**2 + 10*g**2 + 0*g**2)*(-2 - g + 2))*(0*g + 2*g**2 + 0*g)*(2 - 5 + 2). 22*g**5 Expand (2 - 1 - 3)*(l - 3*l + 4*l)*(-17 - 1 + 1)*(6 - 9 + 1). -136*l Expand 2*y**2 - 2*y**2 - 4*y**3 - 3 + 2*y**3 + 3 + (-1 + 1 + 2*y)*(0*y**2 + 0*y**2 + y**2) - y**3 - 3*y**3 + 6*y**3 + 30*y**3 - 21*y**3 + 10*y**3. 21*y**3 Expand (-35*o - 35*o + o**2 + 68*o)*(16*o**2 + 12*o**2 - 4*o**2). 24*o**4 - 48*o**3 Expand (43*u + 40*u - 5*u + (1 - 4 + 1)*(0 + 0 - u))*(4*u - u - 2*u). 80*u**2 Expand 7*s - 10*s + 2*s + (-5*s + s + 2*s)*(0 - 4 + 3) + 5 - 5 + 4*s - 5*s + 3*s + 4*s. 7*s Expand (3*y + 3*y - 2*y)*(11 + 4 - 11). 16*y Expand (0*r**3 - 4*r**3 - 16*r**3 + (2 + r**2 - 2)*(4*r - 4*r + r))*(-r - 6*r - 2*r). 171*r**4 Expand (-2 - 1 + 4)*(1 + 3*i - 6 + 2)*(361*i**4 - 687*i**4 + 368*i**4). 126*i**5 - 126*i**4 Expand q**5 - 5*q**5 + 2*q**5 + (-4*q**2 - 19*q + 19*q)*(-4*q**3 - 5*q**3 + 11*q**3). -10*q**5 Expand (-7 - 47 + 4 - 5)*(14 + 2*d**2 - 14). -110*d**2 Expand (2 - 4 - 1)*(2 - 31 - 8)*(2*c + 3 - 6 - 5). 222*c - 888 Expand (8*f**2 + 6*f**2 - 3*f**2)*(1 + 0 + 1)*(-f + 0*f - f)*(31 - 5*f**2 - 31). 220*f**5 Expand (3 + 0 - 5)*(2*h**2 - 3 + 3)*(51 + 73 - 50). -296*h**2 Expand (-2*d + 5*d - d)*(-8 - 12 + 9) + 3*d + d - d. -19*d Expand (0 + 0 + 4*t + (0*t + 2*t - 4*t)*(3 - 2 + 1) - t - t - 6*t + (4 + 0 - 6)*(0*t + 2*t - 4*t))*(-5*t + 5*t - t**3). 4*t**4 Expand (3 - 2 + 1)*(3*i + 0*i - 4*i) + 115*i + 37*i + 310*i. 460*i Expand (-4*n + 4*n - 2*n + (-4 - 1 + 3)*(3*n + 0*n - n))*(-n**2 + 3*n**2 - n**2) + 6 - 6 + n**3 + (4*n**2 - 3*n**2 + 2*n**2)*(4*n - 5*n - 3*n) - 1 + n**3 + 1. -16*n**3 Expand (-2 + 425*a**4 - 417*a**4 + a + 4 + 4*a**2)*(2 - 3 - 8). -72*a**4 - 36*a**2 - 9*a - 18 Expand (-z + z + z)*(-2*z**2 - 2*z**2 + 2*z**2) + (2 - 3 - 2*z**3 + 0*z**3)*(-973 + 2424 - 829). -1246*z**3 - 622 Expand (-1981*v + 1983*v - 8 + 0 + v**2)*(3 + v - 3). v**3 + 2*v**2 - 8*v Expand (-309*s**2 + 135 + 105 - 239 + (2*s - 2*s - s)*(-3 + 3 - 2*s))*(-1 + 2 + 0)*(3*s + 0*s - s). -614*s**3 + 2*s Expand a**2 - 2*a + 2*a + (2 - 2 - a)*(-a + 0*a + 2*a) + 3*a**2 - 2*a**2 + a**2 - 4*a**2 + 0*a**2 - 2*a**2 + (3 - 1 - 5)*(0 - 2*a**2 + 0). 2*a**2 Expand (-54*v - 23 + 26 - 6)*(v**3 - 4*v**3 + 2*v**3). 54*v**4 + 3*v**3 Expand (4 - 15 - 3)*(-2 - 2*l + 2). 28*l Expand (9 - 5 - 6)*(-3 + 2 + 0)*(l**2 - 3*l**2 - l**2). -6*l**2 Expand (4*x - 2*x - 4*x)*(6 + x**4 - 6) + 156*x - 3*x**5 - 156*x - 2*x**3 + 4*x**5 - 4*x**5 - 2*x**5 + (0*x**3 + 0*x**3 - 2*x**5)*(5 + 0 - 3). -11*x**5 - 2*x**3 Expand -d**4 + 0*d**4 - 8*d**4 + (0 + 3 - 5)*(3 + 2*d**4 - 3) + d**4 + 1 - 1 + 2*d**4 + 3*d**4 - 4*d**4. -11*d**4 Expand (b**3 + 3*b - 3*b + 2*b**3 + 2*b**3 - 5*b**3 + (-4*b**3 - b**3 + 6*b**3)*(-1 - 1 + 1) - b**3 + 0*b**3 - b**3 - 1 + 1 + 2*b**3)*(-80 + 80 - 35*b**2). 35*b**5 Expand (4*f**2 + 2*f**2 - f**2)*(5 - 1 - 2) + 17*f**2 - 55*f**2 + 74*f**2. 46*f**2 Expand -o + 0*o + 0*o + (-2*o + o - 3*o)*(-43 + 79 - 21). -61*o Expand (4*t + t - 2*t)*(595*t**4 - 150*t**4 - 28*t**2 + 28*t**2). 1335*t**5 Expand (-w + w - 158*w**2)*(-1 - 2 + 1)*(-3*w**2 + 2*w**2 + 2*w**2). 316*w**4 Expand (-4 + 3 + 7)*(-2 + 7 + 0)*(-33*v**4 - 15*v**4 + 12*v**4). -1080*v**4 Expand (2*m - 2*m + 2*m)*(-8 + 14 + 0)*(-5*m + m - m)*(-4 + 0 + 5). -60*m**2 Expand (-6*l - 3*l + 10 - 9)*(1401 + 53*l**4 - 1401). -477*l**5 + 53*l**4 Expand (3 - 2*p - 3)*(p**2 + p**2 + p**2) + (2*p**2 + p - p)*(-3 - p + 3) - 13*p**3 + 4*p**3 - 7*p**3 + (-5*p + 3*p - 6*p)*(-2*p**2 + 4*p**2 + p**2). -48*p**3 Expand ((24 - 20*o - 24)*(2 - 3 + 0) + o - 2 + 0 + 7)*(2 - 1 - 2). -21*o - 5 Expand (4 + 7 - 4)*(4*v**4 + v**4 - 3*v**4 - 4*v**4 - 2*v**4 + 4*v**4 + (0*v + 2*v**2 + 0*v)*(-v**2 + 1 - 1) - 4 - 2*v**4 + 4 - 2*v**4 - v**2 + v**2). -42*v**4 Expand 8*l**2 + 10*l**2 + 0*l**2 + (3*l - 7*l + 3*l)*(-3*l + 0*l + l). 20*l**2 Expand (-6*t + 0*t + 2 + 4*t)*(-5*t + 5*t + 5*t**2) + 3*t**2 + 2*t**3 - t**2 + 0*t**3. -8*t**3 + 12*t**2 Expand (3 - 14 - 3)*(-8*d + 10 - 10) - 3 + 2*d + 3. 114*d Expand (70 + 274*c**2 - 547*c**2 + 275*c**2)*(c + c - 3*c). -2*c**3 - 70*c Expand 245*l**2 - 26574*l + 26574*l + (2*l + 3*l - 3*l)*(-5*l + 5*l - l). 243*l**2 Expand (2 - 6*f**2 - 15*f**2 + 3*f**2)*(0*f + 3*f + f). -72*f**3 + 8*f Expand -83*u**5 + 39*u**5 + 28*u**5 + (-2*u + u**3 + 2*u)*(-5*u**2 + u**2 + 3*u**2) + u**4 - u**4 + u**5. -16*u**5 Expand (0 + 2 + 0)*(k**5 + 0*k**4 + 0*k**4) - 91*k**3 - 10*k**5 + 45*k**3 + 44*k**3. -8*k**5 - 2*k**3 Expand (5 - 4 - 3)*(0*z**3 + 0*z**3 - 2*z**3) + 138*z + 149*z**3 + 41*z**3 - 140*z. 194*z**3 - 2*z Expand (0 + 0 + 3 + (2 - 3 + 2)*(0 + 2 - 4) + 3 - 5 + 3)*(0 - 8*c**2 + 0). -16*c**2 Expand (-3 - 19 + 7)*(3 - 3 + 7*r). -105*r Expand (431*y - 431*y - 9*y**2 + (2*y - 4*y + 3*y)*(-1 + 2*y + 1))*(y + y - y). -7*y**3 Expand g**5 - 3*g**5 + 0*g**5 + (-2*g**3 - g**4 + 2*g**3)*(2 - g - 2) - 18889*g**4 + 127*g**5 + 18889*g**4. 126*g**5 Expand (-4*u**2 + 2*u**2 - 4*u**2)*((-u + 0*u - u + (-7 + 3 + 2)*(-u - 4 + 4) - 2*u + 5*u - 2*u)*(-3*u + 0*u + 4*u) - 2*u + 2*u + 23*u**2). -144*u**4 Expand (2*i - 1 + 1)*(-2 + 1 + 2) + (53 + 150 - 419)*(2*i + i - 5*i). 434*i Expand (51 + 18*d**3 - 51)*(3*d**2 - 3*d**2 + 2*d**2) + 0*d**5 + 0*d**3 - 2*d**3 + 2*d**5. 38*d**5 - 2*d**3 Expand (-8167*b**2 + 22*b**3 + 8167*b**2)*(b - 2*b - 3*b). -88*b**4 Expand (-1 + 2 + 1)*(2 - 2 - 2*b)*(-119*b + 18*b**4 + 119*b). -72*b**5 Expand (-14 + 14 - 4*u + (0*u - u + 0*u)*(-2 - 1 + 8) + 2*u + u - 2*u)*(3*u**3 - 3
{ "pile_set_name": "DM Mathematics" }
Express (3*d + 3*d**3 - 3*d)*(-2*d + 1 - 1) + (117*d + 89*d + 115*d)*(-3*d - 4*d**3 + 3*d) as f*d**2 + m + b*d**4 + j*d**3 + y*d and give b. -1290 Rearrange (-6 + 3*h - 9 + 4*h + 36 + 2)*(-13 + 53 - 3) to d + i*h and give d. 851 Express 37 - 74 - 1509*v + 6417*v + 37 as t*v + n and give t. 4908 Rearrange 42*g + 3*g + 64 - 44*g + 5*g to l*g + p and give l. 6 Rearrange (5 + 5 + 5 + (0 + 1 + 0)*(-1 + 2 - 2) + 13 - 1 + 0)*(20 - 20 + 4*s) to the form o*s + a and give o. 104 Rearrange 595*y + 437*y + 142*y + 613*y - 98*y to the form x*y + i and give i. 0 Express 1 - 304898*p + 304898*p - 24326*p**2 in the form n + f*p**2 + g*p and give f. -24326 Express 23*c**3 - 17*c**3 - 3*c + c**2 - 7 + 1 as p + o*c**3 + b*c + h*c**2 and give o. 6 Rearrange 7*f**3 - 477*f + f**2 + 473*f - 44 + 21 - 3*f**3 to b*f**3 + k*f**2 + m + v*f and give v. -4 Express (-345*v - 59*v - 139*v - 2 - 125*v + 318*v)*(-22 + 39 + 132) in the form y + u*v and give u. -52150 Express 26*k**3 - 1557*k - 1555*k - 1552*k + 18*k**2 + 4661*k as h*k + s*k**2 + f + y*k**3 and give h. -3 Express (2 - 1 - 4)*(73 - 26*q**2 - 73)*(-5*q**2 - q**2 + q**2) in the form z*q**4 + p*q**2 + u*q + r*q**3 + t and give z. -390 Rearrange -103*a + 338*a - 2454*a to the form k + u*a and give u. -2219 Rearrange 3727367*o**3 - 47*o + 1 - 5*o**2 - 3727367*o**3 + 1 - 6*o**4 to k*o**3 + n*o**2 + h*o**4 + d*o + x and give h. -6 Rearrange (-8 - 2 + 2 + (5 - 2 - 1)*(2 + 0 - 3))*(-8*u + 119*u - 9*u)*(0*u - 6*u + u) to the form x*u + c*u**2 + b and give c. 5100 Express (3*j + 4 - 4)*(6*j**2 + 1 - 1) - 3*j**3 - j**3 + 0*j**3 + (6 - 1 - 4)*(62*j - 62*j - 20*j**3) in the form s*j**2 + w*j + y + p*j**3 and give p. -6 Express 11*x**4 - 6981*x - 7*x**3 + 7*x**2 - 4*x**2 + 6978*x - 56*x**4 in the form d*x**4 + w + j*x + m*x**3 + o*x**2 and give d. -45 Express 226*l**3 + 2*l + 43*l**3 + 0*l + 154*l**3 as p*l**2 + k + y*l + r*l**3 and give p. 0 Rearrange -1586*s**2 + 893*s**2 + 700*s**2 + 11*s**3 + 2 to the form n + v*s + a*s**2 + h*s**3 and give h. 11 Rearrange (6*l - 33*l - 25*l)*(2 - 8 + 2)*(-6*l**3 + 0*l**3 - 3*l**3) to the form s*l**4 + g*l**3 + u*l + y + z*l**2 and give s. -1872 Rearrange -4167*n - 16666*n + 376*n - 22297*n + 7284*n to the form h*n + c and give c. 0 Express -1726*y + 2077*y + 3610*y - 1327*y + 3396*y as i + d*y and give d. 6030 Rearrange (29*n - 15*n**2 - 29*n)*(-218*n + 3*n - 128*n) + 0 - 2*n**3 + 0 to the form o*n**2 + t*n + x*n**3 + g and give g. 0 Rearrange (3450*m**3 - 1731*m**3 - 1731*m**3)*(6*m - 2 + 6 - 4*m) to y + w*m**4 + z*m + t*m**3 + q*m**2 and give t. -48 Rearrange -1 + k**3 - 7*k - 36*k + 18*k + 22*k + 37*k**2 to i*k**2 + d*k**3 + z + o*k and give i. 37 Express (2*d**2 - 40 - 19*d + 18 + 19)*((-1 + 2 + 1)*(2 - 4 + 1) + 9 - 7 + 9 + (-4 + 2 + 5)*(-1 - 1 + 1)) as y*d + f + l*d**2 and give y. -114 Express -16905*r - 29820*r + 7518*r as d + v*r and give d. 0 Express -19107*t - 37239468 + 37239468 in the form z*t + h and give z. -19107 Express -241*h**2 - 2 - 24*h**2 - 1276*h**2 - 995*h**2 in the form g*h + f + a*h**2 and give a. -2536 Rearrange 9*b - 23*b**3 + 4781659*b**2 - 4781659*b**2 - 4*b - 25*b**4 to c*b**2 + l*b**3 + w + d*b + z*b**4 and give z. -25 Rearrange -53*x**3 + 19*x**3 + 263*x + 942*x + 19*x**3 + 16*x**3 + 2 - 2*x**2 to q*x**3 + l*x**2 + w + k*x and give k. 1205 Express -6 - 10 - 8 - 47*b**2 + 11483*b - 5 - 11481*b in the form w*b + m*b**2 + a and give a. -29 Express -98*j**2 + 52*j**2 + 75*j**2 + (4*j + 0*j - 2*j)*(0 + 0 + 1)*(-4 - 1 + 2)*(0*j + j + 2*j) in the form q + y*j + l*j**2 and give l. 11 Express 1669*s**2 - 833*s**2 - 842*s**2 + 101 in the form h + z*s**2 + w*s and give h. 101 Rearrange -16*b**3 - 74 + 21*b**3 - 10*b + 8*b + 76 - 17*b**4 to the form h*b**4 + o*b**3 + g + u*b + s*b**2 and give h. -17 Rearrange (-c**2 + 0*c**2 + 878 - 852)*(2*c - 5*c - 4*c)*(-1 + 5 - 2)*(5 - 5 - 2*c) to the form o*c**4 + d*c**2 + z*c + p + s*c**3 and give d. 728 Express 7*m**2 + m + 7*m - 9*m**2 + m**3 + 58 + 2*m**2 in the form s*m**3 + n*m**2 + b*m + t and give t. 58 Rearrange ((-1 + 2 + 1)*(0 - 2 + 3) - 2 + 3 + 5)*(-151*f + 27*f - 331*f) - f + 2*f - 3*f to j + t*f and give t. -3642 Rearrange (-1 + 1 - 2)*(1 - 5 + 0)*(38 + 34*v - 37 + 3) to the form b*v + p and give b. 272 Express -3 + 3 + a + (0 - 2*a - 2 + 3)*(248 + 1020 + 288)*(0 - 1 + 3) as r*a + n and give r. -6223 Express (-10*f + 7*f - 11*f)*(-8 - 5*f + 8) + 10*f**2 + 11 - 2 - 11 in the form w*f**2 + i + j*f and give w. 80 Express 148191*z - 5*z**2 + 2*z**2 - 2 - 148291*z + 4 in the form w*z**2 + m*z + p and give m. -100 Rearrange (-3*r + 2*r - r)*(2 + 1 - 1) + 22 - 20 - 358315*r + 367920*r to the form l + n*r and give n. 9601 Rearrange -14 + z + z**3 + 2*z**2 - 83 + 154 to the form x*z + v*z**2 + h*z**3 + n and give h. 1 Express -37753*f - 102475 + 102475 as q + y*f and give y. -37753 Rearrange -66686*s**3 + 66688*s**3 - 3*s**4 - 2 - 644*s + 0*s**4 to the form f*s**3 + q + a*s + x*s**4 + b*s**2 and give f. 2 Rearrange -10361*g - 5611*g + 2774*g to m + q*g and give q. -13198 Rearrange (-3 + 1 + 3 + 9*o)*((1 - 1 + 2)*(-3 + 0 + 1) + 18 + 17 - 4 + 1 - 9 + 1 + 1 + 0 + 1) to the form y*o + x and give x. 22 Express 2*g**3 - 7206 + g + 3572 + 7*g**2 + 5*g + 3609 - 5*g in the form p*g + i*g**2 + m*g**3 + u and give m. 2 Rearrange (-42*t + 11*t - 62*t)*(-3*t + 2*t + 0*t) + (-36*t**2 + 103*t - 103*t)*(3 - 5 + 0) to m*t**2 + n + y*t and give m. 165 Express -2 + 288*b**4 - 554*b**4 - 2*b**3 + b**2 - 13*b + 256*b**4 in the form l*b + a*b**4 + o*b**3 + s*b**2 + u and give u. -2 Rearrange 13*n**2 + 1429*n**4 - n**2 - 19*n**2 + 2 + 6*n**2 + 5*n**3 to the form w*n + v*n**3 + a*n**2 + g*n**4 + s and give v. 5 Rearrange 10003*f - 2946*f - 343*f + 9527*f + 2990*f to the form a*f + t and give a. 19231 Express -12*n**2 + 1 - 8*n**2 - n**3 + 5*n - 5 - 5 + 13*n**2 as q*n + p*n**2 + x*n**3 + t and give t. -9 Express -g - 42*g**2 - 10*g**2 + 2 + 95*g**2 as l*g**2 + o*g + s and give o. -1 Express -135*p - 45*p**3 + 135*p + (3*p**2 + 3*p**2 + 3*p**2)*(3*p + 3*p - 4*p) - 14*p**2 + 13*p**2 - 2*p**3 + p**3 as q*p + i*p**3 + m*p**2 + s and give i. -28 Express (3723 - 8*a - 3723)*(-1 + 17 + 14) + a - 2 + 2 as f + u*a and give u. -239 Rearrange (8488*n + 9643*n - 14472*n)*(3*n + n - 2*n) to x*n**2 + m + w*n and give x. 7318 Rearrange 55070*y - 110135*y + 55064*y - 1262 to the form d + f*y and give f. -1 Rearrange 8*j + 8*j + 20 - 2*j**3 - j**2 - 14*j - 9*j**2 + 4*j**2 to u*j**2 + d*j + t*j**3 + l and give d. 2 Rearrange (-25*t**2 - 2*t**2 + 9*t**2)*(-1 + 4 - 2) + 166 + 19*t**2 - 166 + (4*t - 4*t - 2*t)*(-5*t - 2*t + 5*t) to the form x + a*t**2 + c*t and give a. 5 Express -3952*k - 8662 - 1885*k - 2840*k + 8662 in the form s*k + h and give s. -8677 Express 1714*z**3 - 36 + 3*z - 570*z**3 - 580*z**3 - 5*z**2 - 565*z**3 in the form m + q*z + j*z**3 + b*z**2 and give b. -5 Rearrange (-606 - 4583 - 16035 - 1881 - 1843)*(-w - 1 + 1) to h + f*w and give f. 24948 Rearrange -649 + 300 - 3925*x + 348 - 5891*x to the form y + k*x and give k. -9816 Express -59*u**2 - 90*u**2 + 184*u**2 + 2*u as a*u**2 + d + c*u and give a. 35 Rearrange (7 - 1 - 4)*(-289 + 99 - 76)*(3*n**2 - 5*n**2 - n**2)*(8 - 6 + 8) to m + v*n + r*n**2 and give m. 0 Express 11*p**4 + 4*p - 4597*p**3 + 4643*p**3 + 9*p + 4*p**2 - 13*p as k*p + j*p**2 + o + z*p**3 + q*p**4 and give z. 46 Rearrange 4125*l + 4*l**2 - 4*l**4 + l**3 - 2048*l + 3*l**4 - 2024*l to u*l**4 + d*l**2 + x + j*l + m*l**3 and give m. 1 Express -17*y**3 - 841*y - 77*y + 1 + 630*y in the form c*y**3 + j + x*y**2 + n*y and give n. -288 Rearrange -g - 36*g**4 + 50*g**2 + 54*g**2 - 158*g**2 + 12*g**3 + 4*g**3 + 53*g**2 - 2 to the form z*g**3 + l + m*g + j*g**2 + a*g**4 and give z. 16 Rearrange (-2 + 2 - r)*(0 + 0 - 2) - 8 + 8 - 6*r + 36*r - 3*r + 31*r + 2 - 2 + 2*r + (-3 - 1 + 2)*(-r - 3*r + 2*r) to o + c*r and give c. 66 Express (6*r**2 - 12 + 12)*(0 - 1 + 3) + (-3*r - 41 + 2*r - r)*(6*r - 6*r - r + (0*r + r + r)*(-4 + 6 - 3) - 2*r + 0 + 0) as o + z*r**2 + f*r and give z. 22 Rearrange -1262*d + 2082*d - 83 + 86 - 1744*d to a + z*d and give a. 3 Rearrange -c**3 - 7 - 5572*c**2 - 5 + 5565*c**2 + 18*c to the form r*c**2 + i*c**3 + h + z*c and give z. 18 Express -4656 - 18*a**4 + 8*a**4 + 13*a**4 - 2*a + 41*a**3 + a**2 + 4657 as k + b*a**2 +
{ "pile_set_name": "DM Mathematics" }
41 What is the difference between -13.7 and 0.03393548? 13.73393548 Calculate -2305230168 - 0.5. -2305230168.5 Calculate -2.9 + -27.094253. -29.994253 Work out 52067 - 0.2033. 52066.7967 Work out -43445788 + 18.7. -43445769.3 15199 + -1538944 -1523745 What is -526 - 270082? -270608 Add together -73486585 and -4. -73486589 Calculate 167.46 - -15.91. 183.37 Add -13885 and -15.7572. -13900.7572 Work out 14347017 - 0.1. 14347016.9 -0.19 + -1.254929 -1.444929 345229.6 - -0.155 345229.755 Work out 10226995.971 - -1. 10226996.971 Add together -90299 and -3448. -93747 Total of -3 and -95983096. -95983099 Add -8.244 and 1251. 1242.756 -874437449 + -0.4 -874437449.4 What is 0.089 plus 313383088? 313383088.089 24148.61125 + 0 24148.61125 Add 2886 and -2302438. -2299552 -3271686.9 - 508 -3272194.9 What is 18793 + 2503.6? 21296.6 Add together 30286 and -0.136. 30285.864 4588451 - -7.1 4588458.1 What is the difference between 11442965 and 0.3978? 11442964.6022 -1.2 + 7086857 7086855.8 Sum 9108074613 and 5. 9108074618 What is the difference between 2707 and -0.4853? 2707.4853 Sum 5 and 2.9777016. 7.9777016 Add -0.54533539 and 70. 69.45466461 -0.00219+2336 2335.99781 What is -0.0173133 minus 545? -545.0173133 Add -3.57335 and 35. 31.42665 Add together 0.5 and 332255.1. 332255.6 What is -0.0501 minus 259061? -259061.0501 0.0489 - 122.01 -121.9611 Subtract -0.02913 from 27990. 27990.02913 Calculate 861 - -14000481. 14001342 What is -2 take away -130553625? 130553623 Add 1.083 and 1.455235. 2.538235 Work out -3370 - -2398.558. -971.442 Work out 0.32803 + 303953. 303953.32803 Put together -0.4 and 23134842. 23134841.6 Total of 3.85 and 34280. 34283.85 Work out -0.5 + -949302281. -949302281.5 What is 1.0169 plus 11884710? 11884711.0169 -1.1129+-17438 -17439.1129 What is -2.62 - -1.131303? -1.488697 Work out 22533 + 294481. 317014 What is -482822638 - 3? -482822641 What is -52672130 + 2? -52672128 Calculate -0.02288345 + 1.52. 1.49711655 Calculate 0.20541889233 - 0.4. -0.19458110767 What is -20541 take away -0.11057? -20540.88943 -0.02 + 264792705 264792704.98 Work out -143 + 136469803. 136469660 Work out 1.343 + 143965. 143966.343 Calculate -6908 - 446. -7354 2 - -2689312 2689314 Total of -150 and -966.263. -1116.263 12233558+124 12233682 What is 28.2 - 2718725.3? -2718697.1 What is 16 less than 1203400769? 1203400753 Total of 4 and -133430442. -133430438 Subtract -12 from -90.2726365. -78.2726365 What is 0.3499 less than -578.2? -578.5499 22720201+5 22720206 What is 2512 less than -204816? -207328 What is the difference between 0.06 and -1.352999? 1.412999 What is 5.6872151 take away 412? -406.3127849 2898 - 6.5 2891.5 Calculate -0.2 - 9995250. -9995250.2 What is -29102 minus -15825? -13277 What is the difference between -18793353 and 3.9? 18793356.9 Put together -361.7 and 1154927. 1154565.3 Calculate 4 - 2695332.04. -2695328.04 66029 + 2.3 66031.3 -0.5 - -139239.7412 139239.2412 Work out 0.0639364 - 478. -477.9360636 Work out 0.572 + -0.012696. 0.559304 -1501 + -3581 -5082 -1.4501449 + -3 -4.4501449 What is -5.02 less than -0.15328455? 4.86671545 Total of -356 and -0.319722. -356.319722 What is 1.3 less than 231.84? 230.54 What is -1149.64538 minus -463? -686.64538 What is 0.022 take away 35809? -35808.978 Work out -20 - 2.8817. -22.8817 Total of -0.43108671414 and -3. -3.43108671414 What is 13595264.847 - -0.3? 13595265.147 Put together -0.4 and 280648.36. 280647.96 What is the difference between -0.0667 and -102.9? 102.8333 Add -185633 and -18.14. -185651.14 -2 - 251251.9 -251253.9 What is the distance between 0.01 and 1140393271? 1140393270.99 What is -16.4042 less than -6739? -6722.5958 Total of -0.1850827691 and 0.7. 0.5149172309 Sum 3 and -16387.21207. -16384.21207 Subtract 180403809 from -49. -180403858 Put together -113431 and -637935. -751366 What is 17715560 minus -3? 17715563 Subtract 3375.9 from 440. -2935.9 Total of 126419 and -0.003. 126418.997 Work out -6 + -763781709. -763781715 What is the distance between -16.451049 and -0.0306? 16.420449 Subtract -387 from 27044. 27431 What is -468051.4 minus -331? -467720.4 Sum 0.17851 and -92.6. -92.42149 What is -1 less than 6.1290061? 7.1290061 -1859030 + 0.504 -1859029.496 -3321621+-29752 -3351373 Calculate 751540 + -24205. 727335 What is 2.6 + -177133039? -177133036.4 Sum -206625.7 and 31. -206594.7 What is the difference between 5.4015 and 259855? 259849.5985 What is 0.384 - -299685? 299685.384 Work out -3625955586 + -1.5. -3625955587.5 Calculate 0.5 + 408591113. 408591113.5 Calculate -16845.055 + -0.431. -16845.486 What is -30263 minus 965? -31228 Calculate 0.093315 + 3840. 3840.093315 What is -7943.868 - -309? -7634.868 What is 12.229246 minus 0.2? 12.029246 Sum 68470.4 and -589. 67881.4 Total of 12465525 and -41. 12465484 Work out 0.1640702 - -2.2. 2.3640702 What is 0.0247 + -3936.88? -3936.8553 -7.55613+449 441.44387 Work out -77 - -914.736. 837.736 What is -3461.5739 plus 0? -3461.5739 What is 1298316 less than 27863? -1270453 Subtract 4839 from 7423154. 7418315 What is -798 take away 3897? -4695 What is -0.1462 - -33001667? 33001666.8538 11.735529442 - 0 11.735529442 Add 0.2 and 147262729. 147262729.2 What is -1667024000 plus -0.3? -1667024000.3 Add together 136823 and 4.65705. 136827.65705 What is 715.3128 + 12.6? 727.9128 5 - 2953.747028 -2948.747028 What is 544.513174 minus -0.22? 544.733174 What is 394015 plus -0.133? 394014.867 1565.822 - -0.12 1565.942 Calculate 665446 - -7.31. 665453.31 What is -70756 + 1457.7? -69298.3 What is -0.04 less than -76509.5619? -76509.5219 What is -2 less than -546446900? -546446898 -6639.947 - 6 -6645.947 Subtract 0.5 from 4367791. 4367790.5 What is -714487 - 68? -714555 Add 0 and -17423066883. -17423066883 Work out 0.07 - 515766. -515765.93 Work out 0.02 + -0.660984. -0.640984 Total of -4040931 and 76. -4040855 What is the difference between 3029287 and 54? 3029233 Sum 10.167 and 1844. 1854.167 Calculate -2017749 + -4.38. -2017753.38 What is the distance between -0.5 and 74305619333? 74305619333.5 Sum -0.5 and -2650242. -2650242.5 -1.3405 - -44975 44973.6595 Work out -1584 - 1.3046. -1585.3046 Sum -100056 and -401. -100457 -63627+0.09 -63626.91 Calculate -0.1601827 + 0.8. 0.6398173 Sum -1 and -132522707. -132522708 Work out -6445302 - -4436. -6440866 What is the difference between -845484550.4 and 1? 845484551.4 Work out 11796 - -22655. 34451 Subtract 7 from -0.05699501. -7.05699501 -78948.8787 + 0.39 -78948.4887 What is the difference between -71711382 and -0.2? 71711381.8 -0.00409 - -7043 7042.99591 -3575 - 94162 -97737 Subtract 0.2157594 from -152. -152.2157594 0.078 - 102611153 -102611152.922 0.2 + -232914166.2 -232914166 What is 2804 plus 9361? 12165 Subtract -417909 from 806.1. 418715.1 What is 1.5202719616 + 1.2? 2.7202719616 What is 0.2 - -7016262? 7016262.2 Add together 9420516 and 945. 9421461 What is 1772753 - 341? 1772412 What is -300826 take away -1021? -299805 Put together -1201.52 and -350069. -351270.52 What is -0.019 - 442.0553? -442.0743 Add -0.006446 and 4.40817. 4.401724 -24 - -2.87421 -21.12579 -0.2+378679.99 378679.79 0.3+447.29792 447.59792 -0.3 + -0.1144764 -0.4144764 What is 0.697 less than -12.61? -13.307 4 - 59347.423 -59343.423 Work out -0.4 - -32020585. 32020584.6 Work out -9.0819 - -1. -8.0819 Put together 0 and -57533820. -57533820 Calculate 2098 - -8633251. 8635349 Work out 7 + 109584.45. 109591.45 Put together -389185 and 36. -389149 0.02567+-46.223 -46.19733 Calculate -31 - 786266. -786297 Calculate 499 - -0.1322792. 499.1322792 Put together 20976 and -2480. 18496 What is 4 plus 1132303351? 1132303355 -0.567 - 1.82 -2.387 What is 5 take away -1753072.74? 1753077.74 8805946965+-3 8805946962 What is 322376.61547 minus 0.5? 322376.11547 Work out -83 - 63113937. -63114020 Put together -2 and 181.225154. 179.225154 What is -34841.6264 minus 4? -34845.6264 Calculate -560698 - -537.9. -560160.1 What is the distance between -592.02302 and -0.7? 591.32302 Work out 60.021 + 0.231. 60.252 Work out -1.64463 - -3.37. 1.72537 Subtract -5.24713 from -14294. -14288.75287 What is -5149420 - 0.3? -5149420.3 What is the distance between 3 and -42211.262? 42214.262 What is -0.15473 minus 177.2? -177.35473 What is -0.3 take away 30942878? -3
{ "pile_set_name": "DM Mathematics" }
, q? q Let v = 28757 - 3105757/108. Which is the smallest value? (a) 0.06 (b) 3 (c) -2/9 (d) 0.5 (e) v c Let u(s) = -112*s + 226. Let t be u(2). What is the smallest value in t, -3, 3.2? -3 Let b = -47 + 47.6. Suppose 4*x + 19 = -2*l - 11, -l = 5*x + 30. What is the fourth smallest value in b, -0.1, 3, x? 3 Let g = 173.19 - 175. Let i = g + 2.81. Which is the fourth smallest value? (a) -4 (b) i (c) 4 (d) -1 c Let j = 3788 + -3790. Which is the second biggest value? (a) -1/3 (b) -12/11 (c) j (d) 0.3 a Let m = -2.896 - -9.896. Which is the third biggest value? (a) 0 (b) -0.03 (c) m b Let h = -3.36 + -0.64. Let f = -50 - -9. Let j = -41.4 - f. Which is the biggest value? (a) j (b) h (c) -2/15 (d) 1/8 d Let p = 521 + -183. Let t = -300 + p. What is the smallest value in -0.5, 2, 1/3, t? -0.5 Let m(w) = -w**2 - 3*w + 22. Let z be m(-6). Let r be (2 - (-65)/(-30))*z. Which is the smallest value? (a) -1/9 (b) r (c) -0.6 b Let l = 2.86998 - -0.13002. What is the fifth smallest value in 1, 5, l, -27, -5? 5 Let x = -0.08767 - 0.11233. Which is the second biggest value? (a) -4 (b) -1/310 (c) x c Let n = -3910 - -2831. Which is the biggest value? (a) -5 (b) 0.1 (c) n b Let g = -0.03918 + 1.03918. Which is the fifth smallest value? (a) -1 (b) 0.2 (c) -2/9 (d) g (e) -0.01 d Let k = -94.41 + 94.73. Which is the third biggest value? (a) -2/15 (b) k (c) -5 (d) 0 (e) -1 a Let s = -1596 - -1602. Let a = -0.08 + 0.05. Let r = 1.97 - a. What is the third biggest value in s, 5, r? r Let p = 51.47 + -51.542. What is the biggest value in -0.34, -5, p, -1/9? p Let k = 0.14153 - 18.36153. Which is the second smallest value? (a) 2/13 (b) k (c) 0.5 a Let c be (-615)/205 - (-129)/(-45)*-1. What is the biggest value in -894, 0, 1/5, c, -4? 1/5 Let r = 3089 - 3104. Let c be (-2)/(-9) + 4/36. Suppose -5*o - 2*s = -16, 0 = 3*s + 6. What is the third biggest value in o, c, r? r Suppose -18 = g - 19. Let p = -139.8 + 140. Let b = -2 + 2. What is the second biggest value in b, -1, g, p? p Let h = 18895 - 18894.3. Let l = -4 - -12. What is the biggest value in h, l, 0.1, 0.2? l Let l = -7.5 - 45.5. Let c = -55 - l. What is the smallest value in -0.5, c, 2? c Let x be 5/(-10) + (-2)/(-20). Let q = -4072.9 + 4075. Which is the biggest value? (a) q (b) x (c) 0.4 a Let v = 192 - 195. Let i be (-2)/(-9)*v*(-3)/6. Which is the second smallest value? (a) 0 (b) 0.09 (c) -0.4 (d) i a Let z = 0.165 + -10.065. Let v = z + 8.9. Suppose 3*q - 3 = -2*n, 4*n + 0*q = 5*q - 5. What is the second smallest value in n, 0.2, v? n Let k = 1560.5 - 2002. Let h = -440 - k. Which is the fourth smallest value? (a) 1 (b) h (c) -1/3 (d) 0.3 b Let p be 26 + 10/(-2) + -5. Let w be 4/p - 4470/(-72). Let t = 61 - w. Which is the fourth smallest value? (a) t (b) -1.3 (c) -3/5 (d) -1 c Let u be 46/(-11) - (-40 + 36). Which is the smallest value? (a) 169/4 (b) 3 (c) u c Let s = 12 - 11.7. Let f = -283 - -282.8. Which is the biggest value? (a) s (b) f (c) -0.04 (d) -3 a Suppose -156 = 24*u - 276. What is the fourth biggest value in 13, u, -5, -0.7? -5 Let v = 840.4 - 840.5. Suppose -4 = 2*y + 6. What is the second biggest value in -2, y, -0.5, v? -0.5 Let f = -148.5 - -148. Let b = 0.3 - -0.05. Let p = b + 4.65. What is the second smallest value in 4, -0.4, p, f? -0.4 Suppose 3*w + 2*k + 1160 = 0, 3*w - 2*k + 599 = -569. Let u = -1551/4 - w. What is the third smallest value in 4, 5.4, 1, u? 4 Let p be (3 - 2)/(-1*1). Let w be -2 - p - (-18)/21. Let z = 9.8535 - 9.7335. What is the smallest value in -4, z, w? -4 Let g be (-10)/(-12) + ((-40180)/(-240))/49 - 4. What is the third smallest value in 2/5, 2/517, g? 2/5 Let k = -36 - -30. Let l be ((-4)/k)/(-14 + 16). Let m = 87/11 + -642/77. Which is the third biggest value? (a) m (b) 3 (c) l a Let m be (-1 - (-24)/(-21)) + 7*(-20)/(-70). Which is the third biggest value? (a) m (b) -150 (c) -1 (d) 1 (e) -2/3 e Let d = -0.047 - -8.047. Let q = 1.04 + -59.04. Let b = 61 + q. What is the third smallest value in -1/8, b, d? d Let m(y) = 2*y - 4. Let g be m(4). Suppose 2*q - 20 = -5*t + 5*q, g*q + 22 = 2*t. Let b = 46 - 46. What is the biggest value in 2/13, -0.5, b, t? t Let p = 372.3 - 372.5. Which is the third biggest value? (a) 0.1 (b) 1/4 (c) -41 (d) p d Let f be (70/(-20))/((-3)/1218). Let i = f - 15633/11. Let l be -1 + 0 + 1 - -2. Which is the third smallest value? (a) i (b) 3/7 (c) l (d) -5 b Let q = 328 + -331. Let m = -0.05 + 0.06. Let k = m - -0.99. Which is the smallest value? (a) q (b) -2/9 (c) k a Let w(m) = -87*m - 1397. Let u be w(-16). Which is the fourth smallest value? (a) 0.5 (b) 5 (c) 2 (d) -1/2 (e) u c Let g be (-1 - -4)/(18/(-876)). Let l = -150 - g. What is the second smallest value in 0.7, -0.5, 0, l? -0.5 Let p be (-2 + 0)*7/91. Let n(t) = -10*t + 2. Let u be n(-1). Let l be 3*u/20 - 1/1. Which is the second smallest value? (a) -1.6 (b) l (c) p c Let w = 187/10 - 189/10. Which is the smallest value? (a) w (b) -3 (c) -876 (d) 0.5 c Let r = 5417/2250 - 294/125. Which is the second biggest value? (a) -15 (b) r (c) -0.15 c Let f = -113 - -69. Let q = -49.85 - -0.85. Let x = f - q. Which is the third smallest value? (a) -1 (b) -10 (c) x c Let i = 744 - 726. Let f be -1 - i/(-27)*(-9)/(-4). Let p = -0.02 + -0.58. Which is the second smallest value? (a) f (b) -4 (c) p c Let u = -395/9204 + 11/177. Let k = 60 - 56. What is the biggest value in u, k, 0.5? k Suppose -4*k + 1314 = 354. Let n = k - 237. Which is the second smallest value? (a) -2/9 (b) n (c) -8.6 a Let d = -4 + 3. Let k be 53/(-9) + 11 + (-8)/72. What is the fourth biggest value in -0.1, 1/3, d, k? d Let r = 857 + -852. Let h = -65 + 108. Let o = h - 128/3. Which is the biggest value? (a) -13 (b) o (c) r (d) 0 c Let v = -12204 + 12204. Let u = 0.4 - 0.3. Which is the third smallest value? (a) v (b) 0.048 (c) u c Let r = -5623/7 - -803. Let l = 15.4 - 15.9. What is the biggest value in 12/5, r, l? 12/5 Let n = -3939.6 - -3959.6. What is the third biggest value in -15, -0.08, n? -15 Let q = 6.5 - 6.55. Let k = q + -0.95. Let s = 8.5 - 9. What is the third smallest value in s, -4, k? s Suppose 109*u - 122*u = 2470. Let m = u + 383/2. Let p = -0.11 - 6.89. What is the third biggest value in 5, m, p? p Let m = 335.1 + -334.1. What is the second smallest value in m, -487, -1? -1 Let w(h) = -2*h + 25. Let t be w(12). Let l = -14/25 - -24/25. Which is the third smallest value? (a) t (b) l (c) 2/15 a Let a = 5 + -4.9. Let j = -10789/28 + 2692/7. What is the second smallest value in a, j, -1/9? -1/9 Let q = 15236.1 + -15236. What is the second biggest value in q, 61, 0? q Let j be ((-9)/2)/(570/95). Suppose -x + 44 = 10*x. Which is the fourth smallest value? (a) -2 (b) j (c) x (d) -4 c Let m = 23/8 + -21/8. Let q be ((-1)/4)/(3/(-30)). Suppose -64*o - 44 = -75*o. What is the fourth smallest value in q, -5, m, o? o Let r be 5 + 5844/30 + 6. Let o = r - 207. Which is the smallest value? (a) -2 (b) 3 (c) o a Let z = -963/4450 - -67/178. What is the fifth biggest value in 0.5, -1/2, z, 1, -0.7? -0.7 Let f = -11.6507 - 1.3493. What is the fifth smallest value in -4, -3/7, 1, -3, f? 1 Let y be (8/130)/(3 + 17/(-5)). Let t = 0.8 + -5.8. What is the second biggest value in y, t, -2? -2 Let l = 5.4231 - -0.1769. Let u = 0.2 - 0. What is the biggest value in u, 1, l, -1? l Let p = 7113 - 7115. Which is the fifth smallest value? (a) -4/5 (b) p (c) -3 (d) 2/89 (e) 0.4 e Let j = -5 - -23. Let a = -3718.2 - -3719.2. What is the third smallest value in 2/3, 1/4, j, a? a Let f = 5 + -4.5. Let p = 100 - 98.77. Let t = -1.93 + p. Which is the third smallest value? (a) 1/3 (b) f (c) 2 (d) t b Let m = 187409/1596 - 822/7. Which is the smallest value? (a) 4 (b) 0.2 (c) m c Let k = 29.0809 + -29.1. Let l = k + -1.9809. Which is the smallest value? (a) -2/25 (b) 2/3 (c) -0.2 (d) l d Let u(q) = 28*q**2 - 18*q + 11. Let r be u(4). Suppose -10*t + r = -t. What is the third biggest value in t, -1, 0.3, -3/2? -1 Let w = 0.6 - 0.3. Let f = 3.977428 + 0.022572. What is the smallest value in -1/8, w, f, 3? -1/8 Let j = 3834.7 - 3831. Which is the second biggest value? (a) 2/7 (b) 0.3 (c) j
{ "pile_set_name": "DM Mathematics" }
s = -4, 7 = f + 2*s - 6*s for f. -1 Let h = -37 - -39. Solve 2 = 2*i + 2*s, s = -5*i - h*s - 1 for i. -2 Let m = -3 + 7. Solve 5*s - 2*w + 3 = -8, m*w + 14 = -2*s for s. -3 Suppose -2*g = -2 - 6. Solve -g*w + m + 1 + 4 = 0, 2*w - 2*m - 4 = 0 for w. 1 Suppose 0 = q - 3*i + 6, -4*q + 5*i - 10 = -5*q. Let w(m) = -m**2 - 10. Let b be w(q). Let k = 14 + b. Solve -k*a - 17 = -3*x, -a + 0*a + 3*x = 2 for a. -5 Let a(n) = -3*n**2 + 10*n - 9. Let f(j) = -16*j**2 + 51*j - 46. Let q(o) = 11*a(o) - 2*f(o). Let s be q(7). Solve s*u - 25 = -2*i + 5*u, 3*i - 25 = 5*u for i. 0 Let j(b) = 2*b**2. Let z be j(2). Let x be (-2)/8 - (-2)/z. Suppose x = 4*v - 0 - 16. Solve -3*i - w - 8 = 0, -i - v*w = -4*i + 17 for i. -1 Let o(b) = b**3 + 11*b**2 + 8*b - 7. Let c be o(-10). Let k(w) = -w + 15. Let a be k(c). Solve r + r = -4*n - 24, 0 = -a*r - 4 for n. -5 Let q(w) be the second derivative of w**3/2 - 3*w**2/2 + 3*w. Let p be q(2). Solve -4 = -4*r - p*c + 4, -3*r - 3*c = -9 for r. -1 Suppose 3*b + 1 = 13. Let r(p) = -p - 3. Let n be r(-5). Let s be b/2*(-1 + n). Solve s*q + 12 = -2*x, q = 2*x - 0*q + 6 for x. -4 Let q(f) = -f**3 + 5*f**2 - f + 7. Let k be q(5). Let m = -2 + k. Suppose -3*d + 2 + 16 = m. Solve -p = 5*t + 12, 0 = 3*p + d - 0 for t. -2 Let p be (-54)/(-27) + (-1 - 3*-1). Solve -4*d - p*y - 10 = 2, -2*d + 4*y + 18 = 0 for d. 1 Suppose -3 - 2 = -5*w + 2*t, 2*t - 16 = -2*w. Suppose 3*f + 4*a = -4 + 11, -6 = -3*f - w*a. Solve -c + f = 5*s - 3*s, -2*s - 1 = 3*c for c. -1 Let f(i) = -2*i**3 - 2*i**2 + 4*i + 4. Let k be f(-2). Solve 19 = -k*x + 4*v - 13, -3*x + 5*v = 34 for x. -3 Let f = 119 - 117. Solve -5*w + f*n = -21, 9 = -2*w - 0*n - 5*n for w. 3 Let o(m) = -2*m - 9. Let s be o(-6). Suppose -3*j = -5*q - 5*j + 21, -5*q + 24 = 3*j. Solve 13 = 3*i - 2, -3*b = q*i - s for b. -4 Let t(u) = 2*u - 12. Suppose 5 + 3 = w. Let q be t(w). Solve 3*k - 2*b - q = 0, 5*k - b + 25 = -4*b for k. -2 Suppose -d = -m - 6, 0 = -6*d + d - 2*m + 16. Solve -d*y - 28 = 3*p, -3 = 2*p - y + 1 for p. -4 Let i(h) = h + 1. Let o be i(5). Let u = 5 + -5. Solve l + 4*l + 18 = -d, l - d + o = u for l. -4 Let w(l) = 2*l + 53. Let t be w(-24). Solve -3*s + 2*o = 6, 3*o + 4 = -t for s. -4 Suppose -5*m + 2 = -3*k, -k - 4*m + 18 = -m. Let r = 11 - k. Suppose 2*f = r*x + 5, 0 = f - 2*x - 1 - 2. Solve s - 30 = -f*v - 7, -2*v = -s - 5 for v. 4 Suppose -6*s + 4 = -8. Suppose -2 = -i - 0*j - 3*j, s*j + 36 = 4*i. Solve 0*v + r = 2*v - i, 0 = v - r - 5 for v. 3 Suppose 3*c - 5 + 20 = 0. Let t = 9 + c. Suppose -f = -t*f + 36. Solve 5*v + 2 = f, 5*g + 4*v = 28 for g. 4 Let h(g) = -g - 2. Let y be h(-2). Suppose 31 = 5*b + 2*w, -5*w = -b - y - 10. Solve -5 = b*f, 0 = -2*q - 2*f - 0*f + 6 for q. 4 Let q = 401 - 269. Let x be q/60 + (-2)/10. Solve 0 = 5*z - 5, 0 = -x*t + z - 7 for t. -3 Let v be 1*(-7 - -3)*-1. Suppose 4*c - 12 + v = 0. Let f(t) = 2*t**2 - 6*t - 6. Let l be f(6). Solve -c*h + p + l = 5*p, p = h for h. 5 Let z(m) = -39*m - 4. Let a be z(-1). Solve -5*n + x + 2 + 28 = 0, -5*n + 2*x + a = 0 for n. 5 Let a(z) = z**2 + 5*z - 4. Let t be a(-6). Suppose -t*y - l = -56, -l - 84 = -3*y - 5*l. Suppose -y = -2*d + 4. Solve f - 2*q - 3 + 2 = 0, -4*f = 2*q + d for f. -3 Suppose -2*j + 70 = -5*m - 13, 39 = -2*m - 5*j. Let f = m + 20. Solve 0 = -f*z - 8*s + 3*s + 30, 4*z - 29 = -3*s for z. 5 Let s be -6*((-1)/3 + -1). Suppose 0 = 2*t - 2 - s. Solve d - t*p + 15 = -2*d, -p = -5*d - 25 for d. -5 Let z = 17 + -2. Solve i - 2*o = -5 + 2, 2*o - z = -3*i for i. 3 Let a be (24/20)/((-3)/(-10)). Let c be (-2)/(0 - a/10). Solve -2*k = q - 6, 9*k = 4*k + c*q for k. 2 Suppose 2*n + 0*n - u - 47 = 0, u = 4*n - 97. Solve -2 = 3*a + 3*h + 1, -n = -3*a + 4*h for a. 3 Let u be 18/8 - (-3)/(-12). Solve -5*b = u*d - 22, -3*b = -5*d - 10 + 3 for d. 1 Let r = -8 + 5. Let c be 23 + 4 + r + 0. Solve -4*m + 3*m - 15 = -4*u, -4*m + c = 5*u for u. 4 Let v = 1 - 0. Suppose -l = -4 + v. Suppose 5*u = 12 + l. Solve u*c - 12 = -4*a - 5, 5*a - 29 = 3*c for a. 4 Suppose 25 = 2*k + 3*k. Suppose -2*p - k*d + 20 = 0, 2*d = -3*p - 1 + 9. Solve p = -u - r - 7, -3*u = -7*u - r - 13 for u. -2 Let f(a) = -5*a + 2. Let k be f(-4). Solve -5*p + k = 2*c + c, 6 = c + p for c. 4 Let n(v) = -v + 12. Let m be n(10). Solve -3 = d + m*y - 10, 11 = 3*d + 4*y for d. -3 Suppose -3*l + 28 = 4*l. Solve -5*v = -l*v - 3*w + 7, 3*w = 2*v + 5 for v. 2 Let s = -102 + 106. Solve -3*r - 27 = -3*q, 9 = 2*r + s*q - 3 for r. -4 Let w(j) = 2*j + 6*j + 17*j**2 - 3*j - 6*j. Let t be w(-1). Solve 0 = -4*a + o + t, -3*o + 1 = -0*a - a for a. 5 Let v = 5 + -2. Solve -3*d - 2*l = -8*d - 7, -d - v*l = 15 for d. -3 Let l(q) = q**2 - 3*q. Let i be l(3). Solve -w - 23 = -0*w + 4*z, -w - z - 8 = i for w. -3 Let y(m) be the third derivative of -m**4/12 - m**3/3 - 6*m**2. Let k be y(-8). Let h = 8 - 5. Solve -h*x = -5*b - k, 1 + 0 = 2*x + 5*b for x. 3 Let n = -51 + 51. Solve -5*b = -n*g - 3*g - 6, b - 9 = -2*g for g. 3 Let i = 4 + -2. Solve -n + 3*m - 2 = 0, -n = 4*m - i*m + 2 for n. -2 Suppose -4*t = 2 - 10. Solve 5*f - 7 = 3*x, -2*f = x + t*f - 9 for x. 1 Let c be (-7 - (-2 + 0))/(-1). Solve -5*g + 6 = -c*h - 24, -5*h = 2*g + 2 for g. 4 Suppose 5*b - 22 = -3*c, -2 + 20 = -b + 5*c. Solve -13 = 4*z - g, 5*z + 7*g - b*g + 35 = 0 for z. -4 Let k be -33 - (1 - (-6)/(-3)). Let d = 19 + k. Let w be (-2)/5*(3 + d). Solve 5*o - 2*c + w*c = -29, 4*o + c + 22 = 0 for o. -5 Let m be (-1)/(-7) - 108/(-126). Solve 0 = 2*i + 3*o + m, -7*i + 2*i - 5*o = 10 for i. -5 Let b(a) = 2*a + 2. Suppose 0 = -p + 6*p. Let s be b(p). Solve 5 = 4*d + y, -s*d = -2*y - 10 - 0 for d. 2 Suppose 3*r - 8 - 7 = 0. Solve 0 = -y + 3*k + 10 + r, 0 = -y - 2*k - 10 for y. 0 Let s(c) = c**2 + 7*c + 6. Let r be s(-6). Let q(l) = r + l**3 - 4 - 1 - 7*l - 7*l**2. Let i be q(8). Solve -2*n - 11 = h, h - 1 = n + i for h. -1 Let c be (-2 - -7) + 2 - 2. Suppose 0*r + 2*m + c = -r, 0 = 5*r + 4*m - 5. Solve d - 32 = -3*d - r*g, d - 2*g = -5 for d. 3 Let i be (-44)/(-3) - (-1)/3. Suppose 3*u - u + 4*b = -4, -i = -5*b. Let y be (3*-1)/(12/u). Solve -2*r - 45 = 5*l + y*r, -25 = 4*l + r for l. -5 Let d = -39 - -58. Suppose -s = -6*s + 3*k + d, 4*s - 30 = -5*k. Solve -4*l = s*z + 27, -9 + 0 = 3*z for l. -3 Let n = -12 + 14. Let c be 1 + 1 + 0/(-1). Suppose -4*l + 10 = -c. Solve -n*b = -u - 6 - 4, 3*u = -5*b + l for b. 3 Let r(h) = -h**2 - 11*h - 1. Let p be r(-8). Solve 2*x - p = -b + 6*b, 5*b + 26 = -x for b. -5 Let z(l) = -3*l - 34. Let h be z(-12). Solve -3*g - h*b - 9 = 0, 2*b + 9 = -3*g + 5*b for g. -3 Let n = 12 - 9. Suppose -n*h = 5*c - 16, c + 12 = 4*h + 3*c. Solve 3*t - t - l - h = 0, l - 12 = -5*t for t. 2 Suppose -5*z - 15 = -5*u, -4*u - 5*z + 7 = 4. Solve -4*y + 3 - 27 = u*d, 4*d + 2*y = -18 for d. -2 Suppose 0 = -5*p + 15. Suppose 2*n = n + 3. Solve 4*g - 5*h - p + 2 = 0, -g - 4 = n*h for g. -1 Let n be (3 - 0/3) + 0. Suppose -n*c + 6*c = 4*g + 18, -2*g = 0. Suppose 0*j + 24 = 3*k - 3*j, -3*j - c = 3*k. Solve -10 = k*o + 5, -20 = 3*b + o for b. -5 Suppose 5*f = x + 4, -2*x - 1 = x - 4*f. Let s be (-10 + 4)/(x/(-5)). Suppose 2*u = -3*u + s. Solve 2*i = -u, -2*o + 0*i + 6 = -2*i for o. 0 Let b = 8 - 5. Suppose -3*y = 4*y. Suppose b = q - y. Solve 3*r = 6, 2*d - 2 = -2*d + q*r for d. 2 Let j = -16 + 24. Solve -5*w + 3*v = -10, 0 = j*w - 3*w - 5*v for w. 5 Suppose 9*s - 9 = 6*s. Suppose s*v = -3 + 18. Solve 2*d = -4*h - 12, 2*d - v*d = 0 for h. -3 Suppose 0 = -z - b + 4, -z = 2*z + 4*b - 13. Solve -11 = 3*k - x, 3*k + 0*x + z*x + 15 = 0 for k. -4 Suppose 2*p - 7 = 1. Let v = p - -22. Let m = v - 7. Solve 4*s + 5 = -5*d, -s + m + 1 = -3*d for d. -5 Let y(w) = -2*w - 30. Let j be y(-16). Solve 5*t - 3*r = -7, 0*r = -j*t + 3*r - 1 for t. -2 Let o be (4/(-2))/((-24)/180). Suppose 21 + 27 = -2*u. Let k be o/2*(-16)/u. Solve 3*l + 2 = l + 2*b, -k*l + 3*b = -3 for l. 3 Let s(b) = b**3 + 3*b**2 + 2*b - 2. Let u be s(-2). Let l = u - -4. Solve l*x = 5*n - 18, -5*x + 2*x = 2*n - 11 for n. 4 Suppose 0 = y - 3. Suppose p + 5*u = -y + 9, -18 = -3*p - 2*u. Solve 0 = 4*r + l + 12 + p, -5*l = -5*r - 35 for r. -5 Let s be (-1)/(0 + 1/(-4)). Let f(h) = -h**2 - 17*h + 33. Let u be f(-18). Solve 2*v = -5*o - 0 + 3, s*v + o = u for v. 4 Suppose 19 = 5*v - 5*g - 26, -5*v = 5*g - 15. Let t be 12/v + (-41)/1. Let x = 67 + t. Solve -2*z =
{ "pile_set_name": "DM Mathematics" }
10/(-4). Let q be ((-5)/3)/((-1)/(-3)). Sort j, q, -1 in increasing order. q, -1, j Let s be (18/(-45))/(3 - (-27)/(-15)). Sort 4, -5, 1/2, s in increasing order. -5, s, 1/2, 4 Let r = 0.15 + 0.05. Sort 3/2, -0.3, r in descending order. 3/2, r, -0.3 Let r(f) = 2*f + 29. Let g be r(-13). Sort g, 2, 4 in decreasing order. 4, g, 2 Let y = -1 - -6. Suppose 7 = -5*m + 5*t + 2, -4*m = 3*t - 17. Sort -3, y, m in ascending order. -3, m, y Let j be 1/(-5) + (-240)/50. Put -1, j, 0 in increasing order. j, -1, 0 Let r = -6/47 - -59/94. Suppose 2*p + 6 = 0, 3*q - 8 = p + 4. Put r, q, 5 in ascending order. r, q, 5 Suppose -5*q = -3*s + 25, 0 = -2*s - 5*q - 36 + 11. Sort s, -1, -3 in ascending order. -3, -1, s Let w = 24 + -21. Sort w, -1, 5 in ascending order. -1, w, 5 Let g = 8 - 7. Let i = g + -1.1. Let a be (-4)/(-10) + 23/5. Put i, -3, a in decreasing order. a, i, -3 Suppose -2*f = -6*f + 64. Let t be f/(-30) + (-4)/(-6). Suppose 0 = 5*c + s + 9, -4*c - 7 = -0*c + s. Put c, t, 4 in increasing order. c, t, 4 Let p be -1 + 1 + 1 + 4. Let h = 16 - 17. Put h, p, -5 in decreasing order. p, h, -5 Let n = 16.36 + -0.36. Let l = -12 + n. Sort -0.1, -5, l. -5, -0.1, l Let g = -23 + 29. Put 0.4, g, -5 in descending order. g, 0.4, -5 Suppose -9 = 3*a - 2*x, 3*a + 0*x = -x. Let d be (a*(-3)/(-21))/1. Let k = 17/21 + d. Put k, -4, 0.5 in ascending order. -4, 0.5, k Let x be (-394)/24*8/(-20). Let w = 13/2 - x. Let d = w + -8/105. Sort -5, d, -0.3 in ascending order. -5, -0.3, d Let k = 38 + 19. Let c = k - 41. Let g = -11 + c. Sort -4, 1, g in descending order. g, 1, -4 Suppose 10 = -4*n + 3*n. Let f = 7 + n. Let j = 5 - 6. Put j, f, -4 in ascending order. -4, f, j Suppose 3*w = w - 3*r - 2, 0 = 3*w - 4*r - 14. Suppose -4*x = -3*n - 9, x + 4*x = -w*n + 17. Let b = -7 - -8. Sort -5, b, x in descending order. x, b, -5 Let j(p) = -p**2 - 9*p - 2. Suppose 4*w = -4, -2*q + 2*w + 20 = -4*q. Let o be j(q). Suppose 1 = -5*a - 19. Put 2, o, a in decreasing order. 2, o, a Suppose -3*t + 1 = 4*a + 24, -5*t + 2*a - 21 = 0. Sort 2, t, 1. t, 1, 2 Let f(j) = j**2 - j - 2. Let u be f(2). Suppose -3*t + t + 10 = u. Suppose -s = 5*w - 15, -19 = -s - 4*w - 8. Sort t, s, -1 in increasing order. s, -1, t Let c(l) = l + 4. Let i(b) = b**2 - 10*b + 6. Let x be i(9). Let n be c(x). Let z = n + 0. Sort z, 2, -2. -2, z, 2 Let s be -7 + 5 + (-285698)/12. Let j = 23737 + s. Let d = -73 - j. Sort 0, 2/3, d. 0, d, 2/3 Let m = 0.369 + 0.031. Sort 0.7, m, 2 in descending order. 2, 0.7, m Suppose 2*d - 2 = 0, 4*d - d = 2*t + 7. Let b be -3 + 2 - (2 + -6). Sort b, t, 2 in decreasing order. b, 2, t Let r = 5 - 2. Suppose j - 2 = 0, 0*j - 18 = 4*l - j. Suppose 0 = -y - 2*a + 4 - 0, 3*y + 4*a - 10 = 0. Sort r, y, l in descending order. r, y, l Let i = 36 - 36. Put -5, i, -3 in decreasing order. i, -3, -5 Let p be (2 - 12)/(3/(-9)). Suppose 0 = -3*i - 2*r + 6, -5*r = -2*i + p - 7. Let u be (1 - 1) + -4 + i. Put 2/9, u, 3 in decreasing order. 3, 2/9, u Let h = -0.01 - 0.07. Let d = h - 3.92. Put -1/2, d, -0.1 in descending order. -0.1, -1/2, d Let k = -0.1 + -0.4. Suppose 0 = 3*a + a. Let x be 2 - a - (-1 + 0). Sort k, 2, x. k, 2, x Suppose -l + 6*l + 5 = 0. Put -6, l, -0.4 in ascending order. -6, l, -0.4 Let g = -0.28 - 5.32. Let t = 12 - 6. Let h = g + t. Sort 1, h, 3/5. h, 3/5, 1 Let j = 0.32 + -0.22. Put 5, j, 0 in descending order. 5, j, 0 Let x(h) = h**3 + 7*h**2 - 9*h - 12. Let c be x(-8). Suppose -2*p + 6 = -2*f, 4*f - 3*p + 9 = 2*f. Sort c, 2, f in descending order. 2, f, c Let w be 3 + -1 + -1 + 3. Let t = 12 - w. Suppose -4*z + t = 3*d + d, 5*d = 5*z + 30. Put d, 0, 3 in descending order. d, 3, 0 Let l be ((-6)/(-4))/((-7)/14). Sort 0.4, 5, l in descending order. 5, 0.4, l Suppose -3*d + 31 = -5*i, -2*d - d = -i - 11. Sort 4, d, -1. -1, d, 4 Let m = -2.2 - -0.2. Let n = -40.8 + 41. Put 0.4, n, m in increasing order. m, n, 0.4 Let j = -1 + 1.02. Let l = j - 3.62. Let m = l - 0.4. Put -1, 1, m in descending order. 1, -1, m Let f(l) = -l**2 - l + 2. Let i be f(0). Suppose i*o = -0*o + 6. Suppose -2*g - 10 = o*g. Sort 2, 1, g in descending order. 2, 1, g Suppose 4 = -5*r - 26. Let m = r + 4. Let t = 7 + m. Sort -2, 1, t. -2, 1, t Let r(c) = -c**3 - 4*c**2 + 3. Let v be r(-4). Suppose -d = -0*d - 8. Put 5, d, v in decreasing order. d, 5, v Let u = 17 - 16.9. Let k = 14/3 - 10/3. Sort k, 2, u in increasing order. u, k, 2 Let u = -1.4 - 5.6. Let j = u - -4. Sort -5, j, 0.4. -5, j, 0.4 Let p = -28 + 68. Let x = 13286/3 + -4389. Let g = x - p. Put -1, g, 3 in ascending order. -1, g, 3 Let r = 9 - 6.23. Let c = r - -0.23. Sort 4, -1, c in increasing order. -1, c, 4 Let r(f) = -f**2 + f + 5. Let l be r(0). Suppose -l = 2*n - 7*n. Let z = -4 + 8. Sort -3, n, z in increasing order. -3, n, z Let m = -13 + 12.98. Let p = 0.12 + m. Put 2/3, p, 3/2 in descending order. 3/2, 2/3, p Let n = -42.6 + 43. Sort n, -4, -6/5 in decreasing order. n, -6/5, -4 Let y be (-2 - (-8)/5)/(4/(-15)). Put 6, y, -2/3 in decreasing order. 6, y, -2/3 Let z(j) = 2*j - 4. Let m be z(4). Sort 3, 5, m in descending order. 5, m, 3 Let t(v) = -v + 10. Let n be t(15). Sort 14, 1, n, -1 in increasing order. n, -1, 1, 14 Let r be 38/9 - (-4)/(-18). Suppose -v = -2*v + r. Sort v, -5, 3 in descending order. v, 3, -5 Let i be 0 + 4*(-9)/(-12). Suppose -i = -4*c + 17. Put -5, c, 4 in descending order. c, 4, -5 Suppose -5*r - 10 = -5. Put 0.4, 3, r, 0.5 in increasing order. r, 0.4, 0.5, 3 Suppose 5*r - 5*d = 15, -3*r + 2*d - 3*d = 7. Let q be 0/(r + -3 + 3). Suppose q = 5*o - 4*o + z + 5, 4*z = 2*o - 2. Put -2, -1, o in descending order. -1, -2, o Let t = 0.07 + -16.07. Let j = 14 + t. Suppose -h + 5 = -0*h. Put -1, h, j in increasing order. j, -1, h Let t be (-3)/(-6) + 18/(-4). Let c(s) = 1 - 1 - 7 + s**2 - 4*s. Let h be c(6). Put -3, t, h in decreasing order. h, -3, t Let l = 14 + -10. Let n(q) = q**3 + 5*q**2 - 8*q - 6. Let w be n(-6). Let j = 4 - w. Put j, l, 1 in ascending order. j, 1, l Let v = -0.9 - -1.8. Let n = -0.1 - v. Sort n, -5, 2 in ascending order. -5, n, 2 Let t = -0.04 + 0.24. Put 2/5, t, 0.5 in decreasing order. 0.5, 2/5, t Let v be -9*(-3)/18*2. Put v, -0.6, -1 in descending order. v, -0.6, -1 Let f = -12.25 + 12.3. Let t be (1 + (-12)/2)/(-3). Sort 0, f, t. 0, f, t Suppose 3*h = -11 + 2. Put 4, -0.2, h in decreasing order. 4, -0.2, h Let r = -2/11 - 5/33. Put r, 4/5, -0.3 in ascending order. r, -0.3, 4/5 Let v = 125 - 121. Suppose 4*w = -5*t - 17, -5*t = -t + 20. Sort v, -0.5, w in decreasing order. v, w, -0.5 Suppose 32 = -t - 4*n, 3*t = 4*n - 56 - 40. Sort -4, 2, t, -2 in ascending order. t, -4, -2, 2 Let p = -4.2 - -2. Let i = p - -0.1. Let s = i + 2. Sort 3, -2/7, s. -2/7, s, 3 Let p(w) = -6*w**3 + 2*w**2 - w. Let k be p(1). Suppose -o - 5*t - 18 = 0, -o - 4*o - 12 = -t. Sort o, k, 4 in decreasing order. 4, o, k Let q = 0.14 + 0. Let s = q + 0.46. Sort -1/2, -1/7, s. -1/2, -1/7, s Let i = -4.9 - -4.6. Put -0.2, -2/13, 0, i in descending order. 0, -2/13, -0.2, i Suppose n = -0*n - 1. Let f = 3.7 + 0.3. Let g = -3.7 + f. Sort 0.2, n, g. n, 0.2, g Let h = -8 + 5. Suppose -3*f + 3 + 15 = 0. Let x = f - 10. Sort x, 1, h. x, h, 1 Let k be (-13)/(-5) - 4/(-10). Suppose -n + 4 = k*h, -3*n + h - 2 = -4. Let x be (84/9)/(-7)*3. Sort 4, x, n in increasing order. x, n, 4 Let y be 8/9*9/(-12). Let n = -0.8 - -5.8. Let r = 3 + -3.4. Sort r, n, y. y, r, n Suppose 5*w + 5 = -2*x, -3*x - 10 = -x. Put w, -6, 5 in increasing order. -6, w, 5 Suppose 3*o = -2*l - 14, -5*o - 2*l = -l + 21. Suppose 0 = 8*a - 0 - 16. Sort o, a, 3 in increasing order. o, a, 3 Let h(r) = r**2 - 9*r - 27. Let b be h(11). Put b, -1, -3, -0.2 in descending order. -0.2, -1, -3, b Let p = 2 - -1. Suppose 0*b + 3*h = 4*b + 21, -4*b - 3*h = 51. Let k be 1/(0 + 3/b). Sort -0.2, p, k in increasing order. k, -0.2, p Let u = -9 + 19. Let d = u - 17. Let b = d - -10. Sort b, 0, 1 in ascending order. 0, 1, b Let k be 15/22 - 2/4. Let y = 3.7 - -0.3. Sort y, k, 0.4 in increasing order. k, 0.4, y Suppose 4 = -4*u, 3*q - 2*u + 13 = -0. Put 0, 2, q in descending order. 2, 0, q Let a be -2 + 2 - (-9 + -1). Suppose 3*x = -4 + a. Put -5, x, -2 in decreasing order. x, -2, -5 Let y(s) = -s**2 - s + 2. Let l be (2/3)/((-6)/27). Let n be y(l). Suppose -4*f + 2 - 6 = 0. Sort n, 1
{ "pile_set_name": "DM Mathematics" }
) 2 (b) 0.0637 (c) 31 b Which is the sixth biggest value? (a) -0.3 (b) -23 (c) 0.3 (d) 5 (e) -4 (f) 4/31 b Which is the fifth smallest value? (a) 0.1 (b) 0.3537 (c) 1 (d) 0.3 (e) -0.2 c Which is the third smallest value? (a) 3 (b) 14 (c) 1447 c Which is the fifth smallest value? (a) 1/5 (b) 5 (c) -4/7 (d) 1 (e) 0.0674 b Which is the third biggest value? (a) 0.2 (b) 80 (c) -1 (d) -0.1 d What is the third smallest value in -0.4, -0.08, 4/7, -1/33, -4? -0.08 Which is the smallest value? (a) 1/23 (b) -0.01 (c) 0.41 b Which is the biggest value? (a) 10812 (b) -5 (c) 2/13 a What is the second biggest value in 0.11, 2/11, -3, -1/9? 0.11 Which is the smallest value? (a) -4/7 (b) -102 (c) -4/139 b Which is the biggest value? (a) -19/78 (b) -0.4 (c) 0.3 (d) 0.4 (e) 15 (f) -5 e Which is the third smallest value? (a) -10 (b) -16.04 (c) -1/2 c Which is the biggest value? (a) 2/9 (b) -0.5 (c) 2/7 (d) -1.3 (e) 0.1 c What is the second biggest value in 4, 197760, 5, 2? 5 What is the smallest value in 10, -2/521, -5? -5 What is the second smallest value in -201, -0.3, 18, 5, -5? -5 What is the third biggest value in 450, 0.13, 7? 0.13 What is the fifth smallest value in 0.281, -2, 18, -3, 5? 18 Which is the biggest value? (a) 2/225 (b) -67 (c) 3 c Which is the second smallest value? (a) -2.2 (b) 3/10 (c) 2 (d) -6 (e) -19 (f) 0 d Which is the third smallest value? (a) 0.3 (b) 0 (c) 21.9 (d) -25.1 a What is the biggest value in 0.4, -13, 28/19? 28/19 What is the second biggest value in 1626, 0, 15? 15 Which is the third biggest value? (a) 21.46 (b) 0.5 (c) 1/6 (d) 0.2 d Which is the third smallest value? (a) -7/4 (b) -3 (c) 2/13 (d) 340 c Which is the third smallest value? (a) -0.24 (b) 0 (c) -5/214 (d) -2 c Which is the second biggest value? (a) -12/29 (b) 1/3 (c) 2 (d) -1/9 (e) -2/7 (f) 0.5 f Which is the second smallest value? (a) -4 (b) -683 (c) -0.01 a What is the second smallest value in -2/5, 0.2, -1, -337? -1 Which is the second biggest value? (a) 4 (b) -3/8 (c) -1.3 (d) -1/201 (e) -0.3 d What is the smallest value in -3, 5, -69249? -69249 What is the fifth smallest value in -2, 0.1, 3/31, 1, -9? 1 Which is the fourth smallest value? (a) -1 (b) 27822 (c) 2/9 (d) 3 b What is the third smallest value in 0, -41/15, 0.27, 3/7? 0.27 Which is the third smallest value? (a) -0.2 (b) 3/562 (c) -6 b Which is the fourth smallest value? (a) 0.4 (b) 9/4 (c) -0.01 (d) -4 b What is the third smallest value in -2396, -3, 3/8, -3/2, 4? -3/2 Which is the fourth biggest value? (a) 557 (b) 10 (c) 4 (d) 5 c What is the third biggest value in 0.16, -989, -1/6? -989 What is the third biggest value in -3, 2/9, -5713, 0.5? -3 What is the biggest value in 0, 7, -0.06, -2, -3/7? 7 Which is the second biggest value? (a) 0 (b) 236864 (c) -1/2 a Which is the third smallest value? (a) -29 (b) -4 (c) -20/93 c What is the third smallest value in -49, -4, 1/4, 2, 1/5? 1/5 What is the biggest value in -2/7, 3/8, 2.8, 1, 5, -10/11? 5 Which is the sixth biggest value? (a) 1/2 (b) -4 (c) 1/4 (d) 2 (e) 0.2 (f) -1/8 b What is the fourth biggest value in 0.4, -5/4, 12, 107.5? -5/4 Which is the second biggest value? (a) -4 (b) -6/5 (c) -0.0043 (d) 3 c Which is the second biggest value? (a) 6936 (b) 4/5 (c) -1/8 b Which is the second biggest value? (a) -274 (b) -0.219 (c) 3/7 b Which is the fourth biggest value? (a) -1/8 (b) 0.4 (c) 5 (d) 0.19394 a What is the second smallest value in 0.2, -9.3, -2/33, 1/7? -2/33 What is the fifth biggest value in 4, -7/4, 106, 3, -1/4? -7/4 What is the second smallest value in 1, 3.8, 210, 0.4? 1 What is the smallest value in 6179, 3/2, 0.5, 3/11? 3/11 Which is the third biggest value? (a) 0.3 (b) 16 (c) 0.06 (d) -892 c What is the second smallest value in -1/2, 189, 3? 3 What is the sixth smallest value in -1/4, -1, 1/4, 0.263, 25, 2/19? 25 Which is the second biggest value? (a) 2/9 (b) 0.2 (c) -9 (d) -3 (e) 4 (f) -14 a Which is the third smallest value? (a) 0.3 (b) 1/2 (c) -4 (d) -17.258 a What is the smallest value in 57, -25/2, -307? -307 Which is the fourth biggest value? (a) -174/113 (b) 1/2 (c) 2/19 (d) 6 a Which is the fourth smallest value? (a) -6 (b) -68/71 (c) 3 (d) -1 (e) -2 b Which is the fifth biggest value? (a) 2/25 (b) -2 (c) 0.4 (d) 16 (e) 0.3 (f) 5 a Which is the second biggest value? (a) -2/9 (b) 4/9 (c) 0.12 (d) 5 b What is the smallest value in -1/53991, 0.1, 4? -1/53991 Which is the second smallest value? (a) 62 (b) 18 (c) 0 b Which is the third biggest value? (a) -3 (b) 0 (c) 0.02 (d) 879 b Which is the second biggest value? (a) -0.03 (b) 2/9 (c) 1 (d) 2/25 b Which is the smallest value? (a) 97 (b) 0 (c) -16.6 c Which is the third biggest value? (a) -4.5 (b) -33/2 (c) -6/11 (d) -4 a What is the smallest value in 0.9, -298, 179/3? -298 Which is the biggest value? (a) -2/15 (b) 4/9 (c) -1001.89 b Which is the fifth biggest value? (a) 59 (b) -156 (c) 5 (d) -2/3 (e) -0.1 (f) -4/7 d Which is the second smallest value? (a) -1/11 (b) 11 (c) 1/9094 c What is the fifth biggest value in -0.08, -1, 1, -0.02, -0.041? -1 Which is the third smallest value? (a) -409 (b) -2 (c) -0.5 (d) 2/5 (e) -5 (f) -3/4 b Which is the fourth biggest value? (a) 5 (b) -0.4 (c) 4 (d) 34 (e) 133 c What is the third smallest value in -5, 4, -0.0294, -19? -0.0294 Which is the fourth smallest value? (a) -4 (b) 0.18 (c) -16 (d) 55 d What is the smallest value in -0.002, 0.01, -2, -3? -3 What is the third smallest value in -2/13, -1447, 280? 280 Which is the second biggest value? (a) 2 (b) -242 (c) 2/13 (d) -3 (e) -1 (f) -2 c What is the biggest value in -1.414, -2/11, 1/2, 7, 1/8? 7 What is the fourth smallest value in -1, 33, -1/11, -0.1, 2, -2? -1/11 What is the smallest value in -70, 81, -34? -70 Which is the biggest value? (a) -4 (b) -2/7 (c) 750.4 c What is the fifth biggest value in -492, -1, 0, -2/205, 0.1, 2/9? -1 Which is the second biggest value? (a) 1/7 (b) 4 (c) 2/3 (d) -22 (e) -0.5 (f) 0.14 c What is the second biggest value in -2/7, -403, 79? -2/7 Which is the third biggest value? (a) 94 (b) 2 (c) 1/38 (d) 3 b What is the second biggest value in -2/15, -74, 1/2, -0.1? -0.1 Which is the third biggest value? (a) 0.1 (b) 17 (c) 1 (d) 2/15 (e) -5 d Which is the smallest value? (a) 4/5 (b) 19 (c) -1284 (d) 0.03 c What is the biggest value in -2936, 1, 11/8? 11/8 Which is the third smallest value? (a) 2/7 (b) -0.3 (c) -6 (d) 281/2 a What is the second smallest value in 18, -91, 0.56? 0.56 Which is the third biggest value? (a) 1/2 (b) 6/155 (c) 0 c What is the fourth smallest value in -3, -0.3, 0, -6, -15, -1/10? -0.3 Which is the fifth smallest value? (a) 0.06 (b) -8/3 (c) 0.2 (d) 0 (e) 14/81 c Which is the third biggest value? (a) 1/4 (b) 1/7 (c) 2/113 (d) 0.13 d What is the fourth smallest value in 2/9, 3.443, -0.2, 0, 0.3, -2/21? 2/9 What is the fourth biggest value in -0.1, -525, 1/23, -0.3? -525 Which is the second smallest value? (a) 626 (b) 0 (c) 3 (d) -2/9 b What is the smallest value in -1188, 77, -0.1? -1188 What is the sixth smallest value in -22, 0.4, -5, -3/10, -2/13, 4? 4 What is the fourth biggest value in 1/4, 1/3, 3/5, 4.136, 0.4? 1/3 What is the fourth smallest value in -2/29, 0.4, 0.3, -1, 1/756? 0.3 What is the second smallest value in -23/29, -3, -2/5? -23/29 What is the fourth biggest value in 5/3, 1, -1/3, 165, 43, 1/3? 1 What is the fourth smallest value in 5, 37, 0.15, 1/2? 37 Which is the second biggest value? (a) 131 (b) -4 (c) 0.1 (d) 4/3 (e) 13 e What is the biggest value in -2/9, 5/4, -1.948? 5/4 What is the second biggest value in -0.18, -2/3, 9, -4/59? -4/59 Which is the fourth smallest value? (a) -1/6 (b) 9/2 (c) 3 (d) 0.1 (e) -1.68 (f) -0.1 d What is the smallest value in -0.2, 424/69, -3? -3 Which is the biggest value? (a) 1 (b) 0.739 (c) -145 a Which is the second biggest value? (a) -1/5 (b) -0.12 (c) -121 (d) -2/57 b Which is the second smallest value? (a) -10 (b) 0.0225 (c) 9/4 (d) 0.3 b Which is the fifth biggest value? (a) 22487 (b) 0.05 (c) 3/5 (d)
{ "pile_set_name": "DM Mathematics" }
(-2/9)*v)/v*v)/v))**(-13))**39 assuming v is positive. v**(11999/42) Simplify r**(35/6)/(r**(-3/4)*r*r)*(r**(-32))**(2/169) assuming r is positive. r**(8527/2028) Simplify (y**2/(y/(y/(y*y**2))))/(y*y**(-10/11)*(y*y**22*y)/y) assuming y is positive. y**(-265/11) Simplify ((l**(1/2))**(-5/8)/(l**(-3)*l*((l/((l**4/l*l)/l*l))/l)/l))/((l**(-1))**(-48)*l**2*l*l**(-3/5)) assuming l is positive. l**(-3497/80) Simplify (h**(-2/7)/h**9)/(h**7*h*h**0*h)*h**(1/13)/h*h**6*h*h/(h**(-4)*h)*h**(-5) assuming h is positive. h**(-1202/91) Simplify ((d**(-16)*d**(-20))/(d/(d**(-3)/d))**(-34))**(-9/2) assuming d is positive. d**(-603) Simplify ((m*m**1)**(-2/19))**(-2/25)*(m*m/m**(-1/2))**(-9/7)/((m/(m**(1/3)*m))/m*m**(3/8)) assuming m is positive. m**(-178681/79800) Simplify ((m**9*m/(m*m**(-2/29)))/((m/((m**9*m)/m*m*m))/(((m/(((m*m**(-15))/m*m)/m))/m*m)/m)))**(-1/6) assuming m is positive. m**(-494/87) Simplify m*m*(m*(m/m**(2/7))/m*m)/m*m/(m**(-4)*m)*m/m**(-5)*m*m*m*m**(-3)*m**(-3)*m**(-1)*(m**(-2/3))**(-2/33) assuming m is positive. m**(6067/693) Simplify ((((i/(i/i**5))/i)/(i**(-2/19)*i))/(i*i/i**0)**(-2/45))/(((i/i**1)/i)**(10/3)*i**(-1/5)/(i**(-2/7)/i)) assuming i is positive. i**(32569/5985) Simplify (((x/(x/(x/(x*x**3/x*x))))/(x*x*x**(-1/9)*x))/((((x**(-2/15)/x)/x)/x)/((x*x*x**(-2/15))/x*x)))/((x**(-3/7))**(-5/3))**(-7/5) assuming x is positive. x**(1/9) Simplify (a*a*a**2*a*a)**(-4/13)*a**8*a/(a**(1/2)*a)*((a*a*a**(-1/4)/a)/a*a**(2/3))/(a**(-8/7)*a/a**(5/4)) assuming a is positive. a**(4075/546) Simplify ((i**(-5)/i*i**(-1)/i)/((i/i**(2/3))/i*i**(-6)))/(i*i/i**(-8)*(i*i/(i**1/i)*i*i)/i*i*i**(1/3)*i/(i**4*i)) assuming i is positive. i**(-35/3) Simplify (p**(6/35)/(p**(2/35)*p*p))/(p**11/p**(2/55)) assuming p is positive. p**(-4947/385) Simplify u**(1/20)/u*(u*u**(2/103))/u*u**(2/7)*u*u/((u*u**(2/25)*u)/u) assuming u is positive. u**(19837/72100) Simplify ((p/(p*p**3))/p**(-2)*p/p**(-2/9)*p**(2/13))/(p**(-1/5)*p*p**6*p**1*p*p/p**(-4)) assuming p is positive. p**(-7853/585) Simplify (v**0*v*v**(-2/5))**34/((v**(1/2)*v)**(26/7)*((v*v**(-2/7))/v)**22) assuming v is positive. v**(739/35) Simplify (m**(1/28)/m**4*(m**(-24)*m)/(m**(5/17)/m))**(-20) assuming m is positive. m**(62495/119) Simplify ((v/v**(-5/4)*(v**(-40)*v)/v)**(3/22))**3 assuming v is positive. v**(-1359/88) Simplify (t**(2/5)/t)**31*(t**(-1/2)*t*t)**(-17)*t**(-2)*(t*(t/(t*t**(2/5)))/t)/t*t**(-6)/t*t*t*t**(-1)*t assuming t is positive. t**(-105/2) Simplify ((z**(-2/5)*z)/z*z)**(-3/8)/(z**1)**11*z*z/(z/z**(1/4))*z*z*z**(-7)/z*(z/(z**(3/4)/z)*z)/(z*z**3/z) assuming z is positive. z**(-669/40) Simplify ((n**(-4/5)/(n*n/n**(-2/53)))**(-46))**(-28) assuming n is positive. n**(-968576/265) Simplify (n/((n/n**9*n)/n)*n*n**(-4))**(10/11)*(n**2*n*n*n*n**5)/(n/n**(1/4)*n**4) assuming n is positive. n**(471/44) Simplify ((k**(-2/7))**(8/5)/(k**(1/16)*k*k*k**5))**(-25) assuming k is positive. k**(21055/112) Simplify u*u**40*u*u**7*u*(u*u**(2/5))/(u**(-9/13)/u*u) assuming u is positive. u**(3386/65) Simplify ((a/(a*a/a**(-14)*a))/(a/a**(1/16)*a)*a**(-1/2)/a**19)**23 assuming a is positive. a**(-13777/16) Simplify (l/(l*l**1*l))**(6/19)/(l**(3/4)/(l**8/l*l*l))*l**(-2/7)*l/(l*l*(l/l**3)/l)*l*l*(l*l**(-1))**(1/52) assuming l is positive. l**(6029/532) Simplify (d**(-23))**(2/81)/(d**(-2/9))**(6/13) assuming d is positive. d**(-490/1053) Simplify (c*c*c**(-2/3)*c*c)**(2/107)/(c**(-2/21)/(c*c**2))*c**4/(c*c**(-3/2)/c*c)*c**(3/4)/c**(2/3) assuming c is positive. c**(69575/8988) Simplify ((q**(-1))**43)**(-18/11)*((q*q**0)**(-2))**(-13/5) assuming q is positive. q**(4156/55) Simplify (((l**(2/23)/l)/l)/l*l**(-6)*l*(l**(1/3))**42)/(l/l**(-1/5)*l**(2/13)/l*l**4/(l*l**3)) assuming l is positive. l**(8571/1495) Simplify (p**(1/25)/(p*p**(-2/123)/p*p))/((p**20/p)/(p/p**(-10))) assuming p is positive. p**(-27502/3075) Simplify ((l**(-9)*l*l)**41*(l/l**(-29))/(l*l/(l**(-10)*l)))**(1/62) assuming l is positive. l**(-134/31) Simplify ((r**(-16)*r)**(-2/15)*r**(-2/43)/(r**(3/11)*r))**6 assuming r is positive. r**(1932/473) Simplify (s*(s/s**2)/s)**10/((s/(s*s**2*s))/s*s/(s*(s**(-5)/s)/s*s))*((s*s*s*s**(-2/3)/s*s*s)**(-26))**(-4/3) assuming s is positive. s**(932/9) Simplify ((n/n**(-2/27)*n)/n*n*n**(-1/5)*n*n*(n*n**(-7))**37)**27 assuming n is positive. n**(-29447/5) Simplify ((l*l**(-16))**(-2/123)*(l**28)**(1/4))**10 assuming l is positive. l**(2970/41) Simplify (((z**(-3/2)*z)/z)**(1/17)/(z*z**(-1/8)*z)**(7/12))**(6/5) assuming z is positive. z**(-1929/1360) Simplify ((v*v**(-1)/v)**(-2/9)/(v**0/v)**(-30))/((v/(v*v**2))**8*(v*v**(3/8))/(v*v/((v**(4/3)/v)/v))) assuming v is positive. v**(-899/72) Simplify ((n**(4/3))**(-36)*n**(20/9)*n**(-16))**(14/3) assuming n is positive. n**(-7784/27) Simplify (v*v**42/v)**(-28)*v**2/v*v**29 assuming v is positive. v**(-1146) Simplify ((r**0)**(-12))**(-2/17)*((((r**1/r)/r)/r)/r**(-1/6))**(-1/26) assuming r is positive. r**(11/156) Simplify (o/o**(-1))**(-7)/(o/o**(1/3))**(1/88)*(o*o**(-6))/(o**(-3/5)*o*o)*o**0*o/(o*o*o/o**(-1/6)) assuming o is positive. o**(-14899/660) Simplify (((t/(t*(t/((t*t**0)/t))/t))/t*t*t)**30/(t**1*t*t)**(-11/5))/(t**4*t*t**(1/11)*t**(-2/7)*t*t*t/(t*(t**(-6)*t*t*t)/t)) assuming t is positive. t**(9931/385) Simplify (((i*i/i**10*i)/i)**17/(i/(i*(i**(2/17)*i*i*i)/i)*i)**(-27))**(-2) assuming i is positive. i**(5650/17) Simplify ((((s**(-5/2)*s)/s)/s)/s**(-8))**(1/43)*s**(-3/5)/(((s/((s*s/(s**(5/6)/s))/s))/s*s)/s*s*s)*s**(-2)/((s/(s/(s/s**(-7/3))*s))/s) assuming s is positive. s**(-3007/645) Simplify (y**(-4)*y**(-1/6)*(y*y**0)**39)/(y**(-2)*((y/y**(6/11)*y*y)/y*y)/y*y)**(-27/2) assuming y is positive. y**(1352/33) Simplify ((j*j**(-10))**(4/7)*(j*j*j**(-4/5)*j*j)**(-2/3))**(22/5) assuming j is positive. j**(-16808/525) Simplify (((l*l**(-1/5)*l)/l)**(17/2)/(l**0*l*l**(-6/11)))**(-1) assuming l is positive. l**(-349/55) Simplify ((o/((o*o**38)/o)*(o*o**(-1/13)*o)/o)/(o**34*o)**(-24))**43 assuming o is positive. o**(449393/13) Simplify ((g*((g*g*g/g**5*g)/g)/g)/((g/g**(-8))/g)*g**8*g**(-2/23))/((g/(g**(1/3)/g)*g*g)**(-9/10)*g*g**(-4/3)*g/g**8*g) assuming g is positive. g**(5207/690) Simplify ((q**(-2/3)/q**(-2/3))/(q*q/(q/q**(4/3))*q*q**(-2)))/((q**(-1/3)/q*q)**(1/14)/(q/q**(2/3))**(-8)) assuming q is positive. q**(-167/42) Simplify ((l/(l*l**(1/5))*(l/l**1)/l)/(l**(-1)*l)**(8/9))/((l/l**(-1))**(-28)*l/(l**3/l*l*l)*l*l*l**(1/6)) assuming l is positive. l**(1669/30) Simplify (t**(-1)*t**7)**(-25)/(t**(2/7)/(t/(t*t**(-4)))*t/t**(-7)*t**(4/5)) assuming t is positive. t**(-5428/35) Simplify ((m*(m/(m*m**(-2/5)*m))/m)**(-1))**34*(m**(1/5)*m**(3/5))/(m/m**(3/8)*m/(m**(2/19)/m)) assuming m is positive. m**(14197/760) Simplify ((s**(-1)*s)**(4/25)/((s**(2/11)/s*s*s)/(s/(s**(2/5)*s*s)*s)))/((s*s*s**(2/3)*s)**(-27/2)*(s/((s**(-4)/s*s*s)/s))/s*s**(-6)) assuming s is positive. s**(5491/110) Simplify ((y*y**(-9/5)*y)**(-24)*y*y*y**(-3/5)/y*y*y*y/(y*y**19))**(-13/7) assuming y is positive. y**(1391/35) Simplify ((k**(2/5))**6)**2*(k/(k/(k**(-1/4)*k)))**(1/32)*((k*k*(k/(k*k**(-6)/k))/k*k)/k)/(k/(k**(-2/3)/k)) assuming k is positive. k**(19501/1920) Simplify ((n**(-1/5)/n)**43)**0*((n**(-2/7)/n)**(-2/45))**(8/15) assuming n is positive. n**(16/525) Simplify (y**(-1/12)/(y*y*y**(2/15)/y*y)*(y*y**15)/(y*y**(3/10)))**(4/5) assuming y is positive. y**(749/75) Simplify (k**(-5/6)/(k/(k*k**(-1/9))))**35*(k**3/((k*((k/k**(-1/2)*k*k)/k)/k)/k))/((k/(k**(-9)/k))/((k*k/(k*k*k**(-2/9)/k)*k)/k)) assuming k is positive. k**(-124/3) Simplify ((j**(1/7))**34*j**(4/13)/(j/(j/(j/(j**(-7)*j)))))**(-6/7) assuming j is positive. j**(1002/637) Simplify (n*n**(-5/3)*n**(-4)*n/n**(-2/3)*(n/(n/(n**(-3/2)*n)))/n)/((n/(n**(-1/3)/n))/(n*n**(-3/8)))**(-17/3) assuming n is positive. n**(373/72) Simplify (r/(r/(r*r**(-1)*r))*r**(-1)*(r**(2/7)*r)/r**2)/(((r*r**5/r)/(r**(2/15)*r))/(r**0/r)**(-1/3)) assuming r is positive. r**(-446/105) Simplify (q*(q/(q/q**(-36)*q))/q*q*q/(q*q/q**(-2/117)))/(q/(q*q**36)*q**(1/4)/q) assuming q is positive. q**(-125/468) Simplify (r/r**1)**(-4)*r**(-1/4)*((r/((r**(-2/9)/r)/r))/r)/r*((r/(r*(r/r**(-1/4))/r))/(r/r**(3/2)))**(-1/20) assuming r is positive. r**(691/720) Simplify (b/(b*b*b*b**(-17)/b)*b**(1/16)*((b*b*b**(-3/14))/b)/(b/(b/b**(6/5))))**(-15/7) assuming b is positive.
{ "pile_set_name": "DM Mathematics" }
+ 2. Let k be b(-4). Let f(m) = -3*m + 0 + 0 + 0 - k. What is f(2)? -8 Suppose 2*c - 10 = -n - 0*c, -3*n - c + 10 = 0. Let m(t) = n - 3 - 2*t + t. What is m(-4)? 3 Let k(r) be the third derivative of r**6/120 - r**5/30 - r**4/8 + 2*r**3/3 + r**2. Suppose 3*o + o + c - 8 = 0, 4*o - 2*c = 20. Give k(o). 4 Let w(t) = 21*t + 6. Let c(n) = 10*n + 3. Let u(z) = 13*c(z) - 6*w(z). Determine u(-4). -13 Let o(t) = -4 + 5 + t - 5. What is o(0)? -4 Let u(h) be the third derivative of -h**4/4 + 5*h**3/6 + 5*h**2. Let k(t) = 2*t + 3*t - 2*t - 2. Let l(j) = -9*k(j) - 4*u(j). What is l(-2)? 4 Let l(b) be the first derivative of 5/3*b**3 + 0*b**2 + 0*b - 3. Determine l(1). 5 Let u = 5 + -2. Let z(w) = w + 1. Let s(h) = 5*h + 5. Let t(f) = 4*s(f) - 22*z(f). Calculate t(u). -8 Let j(n) be the third derivative of -n**4/24 - 4*n**3/3 - 9*n**2. Give j(-7). -1 Let k(c) be the third derivative of -c**4/8 - 2*c**3/3 + c**2. Suppose -9 = -4*n - 25. What is k(n)? 8 Let i(p) = 4*p**2 - 15*p**2 - 3*p**2 - p. Determine i(-1). -13 Let o(c) = c**2 - 2*c + 1. Let d(a) = a**2 + a - 2. Let y be d(-3). Suppose -y = -4*i + 8. What is o(i)? 4 Let s(l) = 11*l**2 - 3*l - 23. Let p(m) = -5*m**2 + m + 11. Let t = -31 + 52. Let h = t - 12. Let q(u) = h*p(u) + 4*s(u). What is q(-5)? -3 Let y(h) = -h**2 - 3*h + 7. Let n be y(-5). Let f(u) = u**3 + 4*u**2 - 1. What is f(n)? 8 Let h(c) be the second derivative of -c**5/120 + c**4/8 + c**3/6 + c. Let t(g) be the second derivative of h(g). Give t(3). 0 Let g(q) = q**2 + 4*q + 1. Let y(z) = -z**2 + 8*z - 10. Let m be y(7). What is g(m)? -2 Suppose 5*u = 4*d - 60, 5*d + 2*u - 70 = 7*u. Let m(q) = 3*q**2 + 11*q - q**3 - 3*q**2 + 6 - d*q. Calculate m(0). 6 Let v(m) be the first derivative of m**3/3 + 7*m**2/2 + 3*m + 2. Let i(w) = w - 10. Let a = 9 + -2. Let b be i(a). Give v(b). -9 Let z(r) = -2*r**2 + r + 1. Let j(c) = -c - 1. Let o be j(-6). Suppose 10 = o*k + t, 2*k - 4 = 4*t + t. What is z(k)? -5 Let b(q) = 6*q - 4. Let l(j) = -j + 1. Let z(o) = b(o) + 3*l(o). Determine z(2). 5 Let g(k) = k**2 - 10*k - 9. Let y be g(11). Suppose -u = y*c + 5 + 8, -1 = u. Let p(t) = -t**3 - 7*t**2 - 4*t + 7. Calculate p(c). -5 Let s(b) = -6*b**2 + 11*b - 8. Let n(k) = -4*k**2 + 7*k - 5. Let f(l) = -8*n(l) + 5*s(l). What is f(1)? 1 Suppose 5*f + i = -0*i - 42, 2*f = 2*i - 12. Let h = f + 2. Let j(m) = m + 13. What is j(h)? 7 Let w(m) = -4*m + 7 - 14 + 5*m. Suppose 0 = 4*n - 3*n. What is w(n)? -7 Let j(a) = -8*a + 68*a**2 - 5*a**3 + 9*a - 68*a**2. Determine j(1). -4 Let i(v) = 1. Let g(t) = -t - 3. Let n be -5 - -3 - (-1 + 1). Let h(c) = n*i(c) - g(c). What is h(-6)? -5 Let l(z) = -2 + 10 + 4 + 4 + 2*z. Let x(w) = w + 8. Let n(h) = 2*l(h) - 5*x(h). Determine n(-7). -1 Let s(v) = -4*v - 4. Let m be 6/(-8)*(3 - -1). What is s(m)? 8 Let r be 33/(-77) - 1/(14/78). Let o(c) = 2*c + 2. Give o(r). -10 Let f(y) = y**2 + 4*y + 3. Suppose 0 = -4*h + 44 + 48. Suppose 5*x + 4*o + 11 = -h, -2*x - 2*o = 12. Let n be 46/x - 2/5. Determine f(n). 8 Let h be (-3 + 0/2)*-1. Let p(n) = 2*n + 0*n - h*n. What is p(-1)? 1 Let w(j) be the first derivative of j**4/4 + 2*j**3 + 3*j**2/2 - 6*j + 2. Suppose 26 - 6 = -4*b. Give w(b). 4 Let c(u) = 3*u**3 + 2*u**2 + 6*u - 1. Let h(t) = 7*t**3 + 5*t**2 + 13*t - 2. Let f(b) = 9*c(b) - 4*h(b). What is f(-3)? 2 Let q(u) = -u - 3. Let n(x) = -x**3 + 6*x**2 - x + 6. Let f be n(6). Suppose -4 = -f*d - d. Calculate q(d). -7 Suppose -2*d - 3*d = -25. Let i(h) = -h**2 + 2 + 0*h**2 + d*h**2 + 3*h - 5*h**2. Calculate i(3). 2 Let d(z) = 3*z + 15*z - z**2 - 2 - 24*z. Determine d(-4). 6 Let t(r) = r**2 + r + 1. Let x(o) = 8*o**2 + 6. Let y(l) = 4*t(l) - x(l). Give y(2). -10 Let o(v) be the first derivative of 1/4*v**4 + 2 - 1/2*v**2 + 4*v + v**3. What is o(-3)? 7 Let m be 12/(-9)*(-3)/2. Suppose -i + 4*i = -m*d + 8, -11 = -3*i - 5*d. Let f(k) = k**2 - i*k**2 - 2 + 4. Determine f(3). -7 Suppose 7*d + 54 = d. Let v(m) = -m**2 - 7*m + 13. Give v(d). -5 Let b(g) = g**2 - 4*g - 6. Suppose -5*f = -3*f + 4. Let i be (1 - 1)*1/f. Let a be 2/(-6)*i - -5. Determine b(a). -1 Let i(d) = d**3 + 2*d**2 + 2*d + 5. Let t(o) = -2*o**3 - o**2 - o - 5. Let j(x) = -3*i(x) - 2*t(x). Determine j(5). 0 Suppose -y + 3*a = 4*a - 13, 5*y + 4*a - 66 = 0. Let t = -32 - -22. Let w = t + y. Let s(j) = j**2 - j. What is s(w)? 12 Suppose -2*j - s + 5*s - 22 = 0, 0 = 4*j + 4*s - 16. Let f(z) = -z**2 - 1. Let u be f(j). Let q(m) = 2*m. Determine q(u). -4 Let b(p) be the second derivative of 1/12*p**4 + 0 - p**2 + 1/2*p**3 - 2*p. Determine b(-3). -2 Suppose -3*g = -2*b - 14, -5*g + 23 = -3*b - 0*b. Let y = g + -8. Let o(l) = -l**3 - 3*l**2 + 3*l + 1. Calculate o(y). 5 Suppose 2 = 3*n - 2*n. Let u(q) = q**3 - 3*q**2 + 2*q. Determine u(n). 0 Let u(o) = -10*o - 6. Let g(x) = -5*x - 3. Let r(p) = 7*g(p) - 3*u(p). Give r(-2). 7 Let o be (-8 - (0 - 4)) + 5. Let x(c) = o + 5*c - 15*c + 12*c. Suppose -2*y - 12 = 2*y. Calculate x(y). -5 Let i = -10 + 10. Let t(u) be the first derivative of u**2/2 - u - 3. Calculate t(i). -1 Let a(g) = 3*g**3 + g**2 - 1. Let y be -4 + 1 + -1 + 2. Calculate a(y). -21 Let g(a) be the second derivative of a**5/20 - 7*a**4/12 + a**3 - 3*a**2 - a. Let j be (-21)/(-2)*(-352)/(-616). What is g(j)? -6 Let s(q) = -q**3 + 5*q**2 + 6*q + 4. Let m = 13 + -7. Give s(m). 4 Let p(c) = 5*c + 7. Let l(o) = 9*o + 13. Let i(y) = 4*l(y) - 7*p(y). Determine i(5). 8 Suppose -7*v = -4*v - 6. Let i(l) = -3*l**2 + 2*l. Calculate i(v). -8 Suppose 8*q - 2*q - 24 = 0. Let p(d) = 2*d - 5. Determine p(q). 3 Let c(t) be the second derivative of 17*t**3/6 - t**2/2 - 2*t + 18. Give c(1). 16 Let n = 12 + -7. Let l(g) = -n - 7*g + 5 + 3*g. Give l(-1). 4 Let v(p) = -p + 10. Let j(d) = -2*d + 21. Let u(n) = 6*j(n) - 13*v(n). Give u(-3). -7 Let i(r) = 9*r**3 - 7*r**2 + 6*r - 1. Let b be (3/(-6))/((-1)/14). Let k(f) = 5*f**3 - 4*f**2 + 3*f - 1. Let j(u) = b*k(u) - 4*i(u). Give j(-2). 11 Let w = 9 - 6. Suppose 83 = 5*l - 2*s, l + 2*s + 5 = -w*s. Let u = 9 - l. Let k(d) = d + 5. Determine k(u). -1 Let a(f) = -3*f - 2. Suppose o - s = 0, 4*s + 24 = 2*o - 6*o. Determine a(o). 7 Suppose 0 = 2*n, -5*p - 4*n + 34 = -11. Let o(c) = 5 + 2*c + 5 - p. What is o(2)? 5 Let d be (12/(-3))/(1 - -1). Let g(a) = 3*a**2 + 3*a + 1. Let t(y) = 4*y**2 + 3*y. Let l(z) = 3*g(z) - 2*t(z). Calculate l(d). 1 Let c(s) = -s**2 + 8*s - 5. Let w be (-12)/(-21) + 248/56. What is c(w)? 10 Let y(p) = -5 + p**2 + 3*p - 4*p - 4*p + 0*p. Let z be y(6). Let f(l) be the second derivative of 11*l**5/20 - l**2/2 - l. Give f(z). 10 Let f(h) be the second derivative of h**5/20 + 2*h**4/3 + 7*h**3/6 - 5*h. Give f(-7). 0 Let c(o) = -o**3 + 6*o**2 + o - 5. Let u be 1/(-2) + 13/2. Give c(u). 1 Let d(c) = -5*c**3 - 14*c**2 - 11*c + 41. Let l(o) = -o**3 - 3*o**2 - 2*o + 8. Let g(s) = -2*d(s) + 11*l(s). Determine g(-5). 6 Suppose s - 5*s - 8 = 0. Let w(o) = o**2 + 2*o. What is w(s)? 0 Let z(s) = s**3 - 3*s**2 + 3*s - 2. Let y = -2 + 5. Suppose 2*c = 5*x - 14, y = -2*c - x + 13. Give z(c). 7 Let z be (-3)/(3 + 0)*-5. Let i(o) = 0*o + 7 + 3*o - z*o. Determine i(5). -3 Let d(o) = o**2 + 2*o - 1. Suppose 4 = -w + 3*a - 0, 2*w - 4*a + 8 = 0. What is d(w)? 7 Suppose 11 - 2 = 3*q. Let k(v) = 4*v**2 + 18*v - 2. Let p(m) = -m**2 - 3*m + 1. Let i(w) = k(w) + 5*p(w). Determine i(q). 3 Let m(i) = -7*i**2 + 5*i + 13. Let w(u) = 11*u**2 - 8*u - 20. Let d(n) = 8*m(n) + 5*w(n). Calculate d(3). -5 Let o(a) = 4*a - 2. Let z(w) = -w**2 + 8*w + 2. Suppose -4*t + 75 = 3. Let j = t + -10. Let m be z(j). Give o(m). 6 Let q(c) = 2*c**2 + 1. Let b(x) = -x**2. Let u(a) = -b(a) + q(a). Give u(1). 4 Let c(w) = w**2 - 4 + w**3 + 8*w - 7*w + 5*w**2 + 4*w. Give c(-5). -4 Suppose -5*n - 2 = 33. Let a = -8 - -3. Let q = a - n. Let l(t) = t**3 - 4*t**2 + t + 2. Give l(q). -4 Let p(w) = 4*w + 321 - 3*w - 317. Calculate p(-8). -4 Suppose -5*l + 0*l + 2 = 2*c, -4*c + 4 = -2*l. Let x(y) = -y**2 + 0*y**3 - 5*y + 5*y - 7 - y**3. Calculate x(l). -7 Suppose 7*j - 4*j - 13 = t, 4*t + 16 = 3*j. Suppose -j*v + 5 = v. Let z(f) = 8*f**2 - 2*f + 1. Calculate z(v). 7 Let u(c) = 212*c**2 + 6*c**3 + c**3 - 213*c**2. Calculate u(-1). -8 Let t(i) be the first derivative of i**4/4 + i**3/3 + i**2 - i - 4. Give t(-2). -9 Let v(a) = -6*a**2 - 2*a - 1. Suppose -5 = -3*c - 4*b, -7*b = -2*c - 3*b - 10. C
{ "pile_set_name": "DM Mathematics" }
t a be (-2832)/(-9)*(-975)/d. Round a to the nearest ten thousand. 10000 Let l = -1915132 - -3053254. Let b = l + -795122. What is b rounded to the nearest 10000? 340000 Let q = 4534.977 + -4550. Let p = 15 + q. What is p rounded to two dps? -0.02 Let z = 440252 + -142752. Round z to the nearest ten thousand. 300000 Let t = 38 + -34. Suppose -t*m + 786202 = -2193798. Suppose -5*n - m = -10*n. Round n to the nearest 10000. 150000 Let j = 382.54 + -17.44. Let z = j + -343. What is z rounded to 0 decimal places? 22 Let f(t) = 3*t**2 + 13*t - 8. Let n be f(-5). Suppose 5*y = j + 1181, -j + 494 = n*y + 4*j. What is y rounded to the nearest ten? 240 Let f = 176114.1589896 - 175999.159. Let x = f - 115. Round x to six decimal places. -0.00001 Let h = 233 - 335. Let r = -101.99889 - h. Round r to 4 decimal places. 0.0011 Let b(x) = x**3 + 6*x**2 - 11*x - 4. Let d be b(-7). Let h be 80/d + 4/(-3). Let o(r) = 15500*r. Let c be o(h). Round c to the nearest 10000. 30000 Let f = -1298 + 1298.031218. Let s = -0.0317 + f. Round s to 5 dps. -0.00048 Let w = -97.86 - -99.8965. Round w to 1 dp. 2 Let g(v) = -4*v**2 - 6*v + 32. Suppose -3*w = -8*w - 50. Let l be g(w). What is l rounded to the nearest ten? -310 Let k = 1181.442 + -1186. Let m = k + 4.6. What is m rounded to 2 dps? 0.04 Let p = -9.7036 - -9.7. What is p rounded to three dps? -0.004 Suppose -10*h + 5*h = -20. Suppose -939656 = h*b - 33739688. Suppose 4*n - 2*f + 3*f = 32799996, n - b = 2*f. Round n to the nearest 1000000. 8000000 Let q = 3947206.00058 - 3947257. Let l = -51 - q. What is l rounded to four dps? -0.0006 Suppose -2*h - 302 = -3*g, 5*g = 2*g + 4*h + 304. Round g to the nearest 10. 100 Let b(z) = -z - 1. Let m be b(-1). Suppose m = -l + 3, 0 = -9*y + 4*y - 4*l - 634988. What is y rounded to the nearest 10000? -130000 Suppose -h = -4*m - 42599997, 23*h - 22*h = 5*m + 53249997. Round m to the nearest 1000000. -11000000 Let s = -196.43 + -61.47. Let j = 240 + s. Let u = j + 17.9000141. What is u rounded to 6 dps? 0.000014 Suppose 0 = 5*v - 5. Let h be -1*(v + 0/(-1)). Let b be 226996 + 2 + (h - -3). Round b to the nearest ten thousand. 230000 Let g = 10493 + -10492.9995209. What is g rounded to five decimal places? 0.00048 Let y = -44.56 - -0.56. Let l = -43.922 - y. What is l rounded to 2 dps? 0.08 Let f(g) = g**3 + 3*g**2 - 2*g + 1. Let j be f(-3). Suppose -j*d = -3*r - 2*d - 1199975, 2*r + 2*d = -800010. What is r rounded to the nearest 100000? -400000 Let q be -260*(10/10)/(1 + 0). What is q rounded to the nearest 100? -300 Let f be 54080/22 + (-6)/33. Let t = 3146 + f. Suppose -m + 2*s + t = 0, 2*s + 16792 = 3*m + 6*s. Round m to the nearest 1000. 6000 Let v = 103.3 - 99. Let o = 4.29999951 - v. What is o rounded to seven decimal places? -0.0000005 Let g = -0.07 - -38.07. Let l = -37.99776 + g. Round l to three dps. 0.002 Suppose -3*l + 141 = -u, -2*u + 188 = 5*l - l. Suppose -4*n + 670 = i, 3*i + l + 799 = 5*n. Round n to the nearest 10. 170 Let c(w) = w**2 + 9*w - 2. Let y be c(-3). Let b be (-111)/(-2)*y/(-3). Round b to the nearest one hundred. 400 Let o = -25.32 - -25.319994774. Round o to 6 dps. -0.000005 Let b(r) = r**2 + 5*r - 6. Let s be b(-7). Let a be 9/(-36) - (-2)/s. Suppose i - 950 = 5*i + 5*v, a = 2*v - 4. What is i rounded to the nearest 100? -200 Let g = -0.01339883 + 0.0134. What is g rounded to 7 dps? 0.0000012 Suppose 3*c - q = 164186, 3*c - 99452 = 3*q + 64726. Round c to the nearest 10000. 50000 Let v = 25 + -25. Suppose 3*l - 60 = -v*l. Suppose -3*k = 4*n + 2360, -2*n - 1200 = -5*k - l. Round n to the nearest one hundred. -600 Let r = -4.39 + 3.654. What is r rounded to 1 decimal place? -0.7 Let m = -0.078 + -0.066. Let l = -0.074 - m. What is l rounded to 1 decimal place? 0.1 Let i be 0 - (-4 - -4) - (-49100)/1. What is i rounded to the nearest 10000? 50000 Suppose -3*y + 313245 + 158718 = 0. Let j(i) = -451608*i - 474403*i + 8 - y*i. Let p be j(-6). What is p rounded to the nearest 1000000? 7000000 Suppose 10908859 = 3*h + t, 4*h + 4*t + 1344733 = 15889889. Let f = h - -6258296. Suppose -3*r - 102305419 = f. What is r rounded to the nearest 1000000? -37000000 Let t(h) = -176*h**3 - 2*h**2. Let y = -18 + 16. Let g be t(y). Round g to the nearest one thousand. 1000 Let h = 5.7 - 12.4. What is h rounded to the nearest ten? -10 Let s(f) = 7*f - 11*f + 5*f + 919991. Let k be s(0). Suppose 2*i = 2*r - r + 919994, -3*i = -r - k. What is r rounded to the nearest one hundred thousand? -900000 Let h = -302 - -302.000554. What is h rounded to four decimal places? 0.0006 Let j = -18.9878 + -0.0322. Let t = j - -19. What is t rounded to 2 dps? -0.02 Let k(b) = -4*b**2 + 31*b + 24. Let z(r) = -r + 1. Let h(v) = k(v) - 5*z(v). Let c be h(15). What is c rounded to the nearest 10? -340 Let j = 41.000001584 + -41. What is j rounded to 7 dps? 0.0000016 Let r = -233 + 293.3. Round r to the nearest integer. 60 Suppose 31*w + 229140 = 12*w. Round w to the nearest one hundred. -12100 Let b = 2 - -9. Let m = 4 + b. Let c = -14.99984 + m. Round c to 4 decimal places. 0.0002 Suppose -x - 3*g + 0*g - 9 = 0, -3*x - 2 = 4*g. Suppose 0 = -0*a + x*a + 12240000. What is a rounded to the nearest 100000? -2000000 Let m = -0.22953 - -0.23. Round m to 4 dps. 0.0005 Let d = -57.6311 - -57.6. Let t = 0.029 + d. Round t to 4 decimal places. -0.0021 Let c(j) = -6557*j**2 - 3*j - 8. Let r(q) = -6556*q**2 - 2*q - 7. Let w(d) = 5*c(d) - 6*r(d). Let k be w(2). What is k rounded to the nearest ten thousand? 30000 Let k = -24.3 - -0.3. Let i = 23.99959 + k. Round i to 4 dps. -0.0004 Let u = 32 - 30. Suppose u*l - 2551 - 1052 = -k, 5*k = -l + 1815. What is l rounded to the nearest one thousand? 2000 Let m = -66923536 + 117023536. What is m rounded to the nearest 1000000? 50000000 Let l = -0.3193 + 2.3383. Round l to two decimal places. 2.02 Let r = 2.55 - 2.54999787. Round r to seven dps. 0.0000021 Suppose 0 = -2*t + 4*m + 34, -3*t + m + 23 = -8. Suppose 4*l - 3*l = -t. Let o be l/(36/10400)*50. What is o rounded to the nearest one hundred thousand? -100000 Let h(l) = l**3 - 14*l**2 + 10. Let q be h(14). Suppose -q*u - 1102166 = 4907834. Round u to the nearest one hundred thousand. -600000 Let q = -59 - -48. Let j = q + 51. Round j to the nearest one hundred. 0 Let v = 5247511 + -3141511. Suppose 0*d - v = -9*d. Round d to the nearest ten thousand. 230000 Let u = 0.624 + -0.623996069. What is u rounded to 7 decimal places? 0.0000039 Let y(m) = -1543*m - 30. Let w be y(10). Round w to the nearest 1000. -15000 Let o = 74 + -73.29. Let x = -2.63 + o. Let q = x + 1.92000093. What is q rounded to 7 decimal places? 0.0000009 Let g = -1806 + 1804.569. Round g to 2 decimal places. -1.43 Let s = -293619.7599993 - -293620. Let j = s - 0.24. What is j rounded to 6 dps? 0.000001 Let l = -0.0906456 + 0.0906. What is l rounded to 5 decimal places? -0.00005 Let u = 23 + -26. Let w be 20/(-3)*(u - 27). Round w to the nearest ten. 200 Let s = -57.28 + 56. Let w = -1.2800189 - s. Round w to 6 decimal places. -0.000019 Let x = 30.929297 - -0.071003. Let i = 30.939 - -0.061. Let j = x - i. Round j to four dps. 0.0003 Let g = -153 + 162.1. Let p = -478.54 - -486. Let m = g - p. What is m rounded to 1 dp? 1.6 Let b(p) = 36409*p. Let o be b(1). Let v = o - 54909. Round v to the nearest 1000. -19000 Suppose 5*y - 2*a = -3048131 + 11298141, 3*y - 4950006 = -3*a. Let u be 4/(-10) - y*4/(-20). Round u to the nearest one million. 0 Let v(y) = y**3 + 1 - 2*y + 0 + 0*y**3. Let p(t) = -7*t - 2. Let m be p(0). Let a be v(m). What is a rounded to the nearest integer? -3 Let m = -473.75 - -406. Let a = -0.25 + m. Let l = 61.6 + a. Round l to the nearest integer. -6 Let a = -2335 + 2337.179. Round a to 1 dp. 2.2 Let w = 32.3 - 38. What is w rounded to 1 dp? -5.7 Let g = 10.9 + -9. Let w = -1.899998 + g. Round w to 6 decimal places. 0.000002 Suppose 4*s = 3*d + 720, 2*d = 4*s - 3*s - 180. Let o be (4*38/(-12))/(2/s). Round o to the nearest 100. -1100 Let o = 51.8 + -0.8. Let f = o + -51.00000165. What is f rounded to 7 decimal places? -0.0000017 Let m = 1833979.189479 - 2443136.0594866. Let j = m + 609146.87. Let n = 10 + j. Round n to 6 dps. -0.000008 Let b = -175.1620555 - 0.8379619. Let f = b - -176. What is f rounded to six dps? -0.0
{ "pile_set_name": "DM Mathematics" }
) -4 Evaluate 5*(-2)/(-20)*-6. -3 What is (-4)/120*-2*65/(-39)? -1/9 Calculate (16/6)/(-4)*(-6)/2. 2 ((-12)/(-2))/(-12)*0 0 (-20)/(-6)*111/(-74) -5 Evaluate (((-4)/4)/(-1))/(-1). -1 212/265*(-60)/(-8) 6 Calculate (-10)/(-24)*-1*(-164)/410. 1/6 What is 90/15*2/4? 3 ((-7)/((-7)/2))/1 2 Calculate (2/12)/(9*(-7)/(-126)). 1/3 What is the value of (-2)/(-6)*-1*1881/418? -3/2 What is 20/5*(-20)/10? -8 What is (-6)/18*-2*(-2)/(-2)? 2/3 Calculate ((-3)/(-2))/((-27)/4). -2/9 (5/(-4))/(6/120*-5) 5 What is the value of 2/((-36)/(-6))*-3? -1 Evaluate (-19)/(342/27)*4. -6 What is ((-2)/(4/(12/3)))/9? -2/9 Calculate ((-2)/(-20))/((-22)/165). -3/4 Calculate 3*1/(-5)*5. -3 Calculate (-52)/312*9/(-2). 3/4 What is the value of ((-15)/(-10))/(3*(-1)/(-8))? 4 Evaluate (-2)/(-35)*9/54*-30. -2/7 Calculate 4/(-6)*(20/4)/10. -1/3 Calculate (26/(-52))/(84/(-16)). 2/21 What is the value of 1*25/(-10)*2? -5 Evaluate ((-109)/872)/(1/(-16)). 2 (5/(15/(-2)))/(6/(-18)) 2 What is (8/(-14))/(((-25)/35)/5)? 4 (2/(-4))/(165/(-330)) 1 (4/(-10))/(2*5/100) -4 What is (8/(-3))/((-4)/((-84)/(-7)))? 8 (24/15)/1*180/(-72) -4 What is (1/3)/((-2)/(-12)*-4)? -1/2 What is the value of ((-1)/(-5)*4)/(3220/1150)? 2/7 What is (60/48)/((-45)/(-6))? 1/6 (((-93)/(-248))/((-3)/(-24)))/4 3/4 Evaluate (-56)/21*1*(-9)/(-3). -8 What is the value of (4/6)/(10/60)? 4 (6/6)/((-2)/(-10)) 5 What is the value of ((8/(-5))/4)/(2/(-20))? 4 Evaluate (-20)/(-20)*(-2)/2. -1 Evaluate (((-45)/(-21))/5)/3. 1/7 Calculate (8/32)/(7/(-16)). -4/7 What is the value of (-2)/6*(-12)/(-16)? -1/4 What is the value of 1*(-9)/3*2/(-6)? 1 (-9*8/(-144))/(6/4) 1/3 Calculate 48/6*(-2)/4. -4 What is the value of -6*4/(48/(-6))? 3 Calculate ((-60)/70)/2*1. -3/7 (-15)/78*(-102)/255 1/13 What is ((-50)/(-15))/((-6)/9)? -5 What is the value of 3*((-18)/24)/(1/(-4))? 9 What is 138/184*8*1? 6 Evaluate 6/(-8)*232/174. -1 What is the value of (-12)/18*3/4? -1/2 What is the value of (-4)/(-14)*(-7)/3? -2/3 -1*4*7/(-14) 2 Evaluate ((24/5)/4)/(48/(-360)). -9 ((-1)/(-1))/1*2/(-4) -1/2 Evaluate (-1*4/1)/(-30). 2/15 24/(-9)*(-18)/(-8) -6 7*80/84*(-12)/10 -8 -1*7*(100/10)/(-70) 1 What is 2/(-9)*2/(16/(-12))? 1/3 What is (7/21)/((80/(-45))/8)? -3/2 1/(-5)*(-315)/9 7 What is the value of 1*2/(-2)*(-5)/5? 1 Evaluate (9/30)/(-3*(-2)/(-16)). -4/5 What is the value of (20/24)/((50/45)/1)? 3/4 What is the value of ((-6)/((8/(-2))/1))/(-4)? -3/8 What is (3/6)/(15/(-20))? -2/3 ((-7)/(-14))/(((-12)/32)/3) -4 50/(-16)*(-12)/30 5/4 ((-21)/(-3))/(-21)*2 -2/3 10*11/550*-1*2 -2/5 Calculate (35/14)/(3/(-6)). -5 What is 5*-2*33/110? -3 What is (-2)/(-6)*((-72)/28)/(-6)? 1/7 What is ((-2)/5*5)/((-2)/(-3))? -3 Calculate (((-12)/17)/(-2))/((-39)/(-13)). 2/17 Evaluate (5/55*11)/((-2)/6). -3 Calculate 5*(-18)/9*4/(-10). 4 Evaluate (2*2)/((-186)/(-31)). 2/3 What is the value of -3*(-16)/(-72)*-2? 4/3 Evaluate (9/((-4)/(-4)))/3. 3 What is the value of (-6)/4*26/741*2? -2/19 What is the value of 9/102*(-68)/51? -2/17 (12/8)/((-12)/(-3)) 3/8 Calculate ((-110)/(-165))/(4/6). 1 Evaluate (-8*3/18)/((-80)/(-24)). -2/5 (-6)/(-4)*84/(-63) -2 Evaluate ((-3)/(-5))/(11/110). 6 ((-27)/12)/((-795)/(-424)) -6/5 What is (-6)/(4*(-9)/48)? 8 Calculate 2/4*2*(-85)/(-85). 1 Evaluate (-33)/11*4/3. -4 Calculate ((-1)/4)/((-2)/6). 3/4 Evaluate ((45/95)/9)/((-2)/4). -2/19 Calculate -4*7/56*3/(-2). 3/4 Evaluate (36/(-198))/((-9)/33). 2/3 What is (4/8)/((-6)/(15/(-5)))? 1/4 What is ((-1)/3)/(4/60)? -5 Calculate 9/(-3)*4/(-9)*-3. -4 (288/160)/(6*(-1)/(-20)) 6 Calculate ((-6)/(-18))/(((-2)/(-33))/(-2)). -11 What is the value of (3*4/(-36))/(1/6)? -2 Calculate (3/10)/(((-9)/(-4))/(-3)). -2/5 What is (-2)/(-2)*(-12)/378*-9? 2/7 What is the value of 9*10/45*(-3)/3? -2 Evaluate ((-3)/(-36)*4)/((-4)/36). -3 What is the value of (5/7)/((-62)/217)*2? -5 What is 1/(-2*(-230)/40)? 2/23 (4/(-17))/((-2)/(-4)*4) -2/17 Calculate ((-9)/30)/((-33)/(-66)). -3/5 What is 6/6*(-7)/(-1)? 7 Evaluate (110/44)/((-1)/(-2)). 5 What is the value of 4/6*(-7)/((-42)/18)? 2 Evaluate (-12)/6*(-2)/(-18). -2/9 What is the value of ((-1)/(-1))/((-3)/(-72)*8)? 3 What is the value of (-12)/10*3*120/(-54)? 8 6/16*76/57*0 0 Calculate (6/8)/(66/(-528)). -6 Evaluate 0/(-16*-3*6/72). 0 Calculate ((-5)/(-20))/(((-10)/8)/5). -1 Calculate (5/(-135))/(7/42). -2/9 12*(-1)/((-6)/(-2)) -4 What is 1/(24/28*28/16)? 2/3 What is the value of (-2)/(-4)*0/(-27)? 0 What is (-36)/8*(-9)/54? 3/4 Calculate (4/(-3))/((-1)/3). 4 Calculate 15/((-60)/(-8))*(-4)/(-2). 4 Calculate ((-3)/(-3))/2*8. 4 Calculate (27/(-48))/(3/(-24)*-6). -3/4 Evaluate ((-1)/5)/(-4*9/900). 5 ((-8)/12)/(6/(-9)) 1 What is 20/(-24)*5/(-25)? 1/6 What is the value of (-2)/8*-4*4? 4 Calculate (1*2/10)/(4/(-25)). -5/4 What is (-3)/((54/180)/(4/(-10)))? 4 Evaluate ((-18)/12*(-2)/(-1))/(-1). 3 (12/40)/(4/10) 3/4 What is (0/(-6))/(6/(-3))? 0 What is (6/(-4))/((-62)/124)? 3 (-1)/(6/(-9))*3/(-9) -1/2 What is (39/52)/((-14)/(-8))? 3/7 Evaluate 19/(-228)*(-18)/(-2). -3/4 What is 9/(27/6)*(-3)/3? -2 ((-1)/(-7)*0)/(4/(-2)) 0 Evaluate -6*(-3)/6*1. 3 ((-6)/7)/((48/(-42))/2) 3/2 Calculate (1/1)/(6/(-2)). -1/3 Evaluate 3/(195/(-40))*(-3)/12. 2/13 6/(-4)*16/96 -1/4 What is (3*1/(-5))/((-256)/320)? 3/4 What is the value of ((-1050)/525)/(-1*1/(-2))? -4 What is ((1*2)/((-9)/18))/(-14)? 2/7 Calculate (1/(-12)*-8)/((-2)/3). -1 What is 280/16*4/10? 7 What is (2/2)/((-8)/(-4))*-2? -1 Evaluate 1/((-33)/308*(-14)/12). 8 What is the value of 4/(-2)*20/70? -4/7 120/(-180)*3/1 -2 Calculate ((-60)/90)/((-1)/((-9)/2)). -3 Calculate ((-5)/(50/(-24)))/(24/60). 6 What is (-2)/((-12)/14)*-3? -7 Calculate -1*1*10*6/(-12). 5 Evaluate -2*(18/(-6))/6. 1 Evaluate 3/(27/3)*(-27)/(-18). 1/2 What is 2/4*0/(-5)? 0 What is the value of 0*(-4)/40*5? 0 Calculate 1/(-2*(-1)/10*1). 5 ((5/20)/(1/4))/(-2) -1/2 What is the value of 8/6*(-12)/32? -1/2 Calculate (-6)/5*(-15)/18*3. 3 Calculate ((-45)/35)/(((-297)/(-18))/(-11)). 6/7 (-1)/20*-4*9/(-9) -1/5 What is the value of (8/78)/(-10*11/(-165))? 2/13 3/(351/(-6))*63/21 -2/13 Calculate 5/(-2)*(-117)/780. 3/8 Evaluate ((-20)/(-36))/(-5)*12/4. -1/3 (3/(-6))/((-73)/(-438)) -3 -9*1/(-30)*10/12 1/4 (1/3*-2)/((-20)/(-120)) -4 Calculate ((-9)/2)/(-3)*(-64)/24. -4 What is (21/9)/(-7)*0? 0 Calculate (26/65)/((-40)/25). -1/4 What is the value of (8/((-64)/(-24)))/(1*-3)? -1 Calculate (-56)/(-4)*7/(-14). -7 Calculate (4*2/(-70))/((-46)/(-115)). -2/7 Evaluate (-3*3/(-72))/(-1). -1/8 1/(((-18)/(-3))/(-18)) -3 Calculate ((-8)/120)/((-2)/(-12)*-2). 1/5 Calculate (17/(-34))/((-2)/20). 5 (-18)/27*((-12)/(-8))/1 -1 What is ((-160)/280)/(2/14)? -4 What is the value of 4/6*(-3)/(-2)? 1 Evaluate (-12)/18*(-9)/(-6). -1 Calculate 2/5*(-165)/11. -6 Evaluate 5*((-1)/6)/((-90)/162). 3/2 What is 53/(-106)*2/(-3)? 1/3 (2/1)/(2/4) 4 What is the value of (2/(-42))/((-1)/9)? 3/7 What is the value of (23/(1449/(-18)))/(1/(-28))? 8 Evaluate (-12*4/(-18))/(17/51). 8 Evaluate 3/((2/(-8))/((-6)/108)). 2/3 Evaluate (-4)/(4/2)*(-11)/88. 1/4 What is ((-10)/15)/(10/(10/(-2)))? 1/3 ((-45)/42)/(-5)*8/6 2/7 ((-3)/10)/(2*15/25) -1/4 Evaluate (18/10)/((-156)/520). -6 ((-1)/(5/(-5)))/1 1 What is the value of (132/726)/(7/11)? 2/7 What is 1/3*12/(-160)*8? -1/5 (78/208)/((-6)/4)*-1 1/4 What is the value of (7*7/(-196))/(10/8)? -1/5 Calculate (-6)/44*16/(-72)*-6. -2/11 -1*1/(-2)*(-12)/(-2) 3 Evaluate -2*2/(-24)*3. 1/2 Calculate (-1)/(3*4/24). -2 What is (-1)/(5/(-45)*-3)? -3 Calculate 2/(-2)*(-70)/((-60)/(-6)). 7 Evaluate (-4*3/(-84))/(-1). -1/7 What is (4*(-3)/(-4))/((-3)/(-1))? 1 Evaluate ((-40)/(-160))/(5/((-160)/28)). -2/7 What is ((-80)/(-60))/2*(-3)/(-2)? 1 Calculate (-7)/4*2*(-1)/(-2). -7/4 What is (81/189)/(((-2)/(-7))/2)? 3 What is ((-6)/15)/((-20)/(-30))? -3/5 What is the value of (12/15)/(-8*(-4)/(-240))? -6 Calculate -2*(1/(-1))/(-8). -1/4 Calculate 115/92*1*(-4)/3. -5/3 Calculate (-3)/((9/8)/((-24)/544)). 2/17 Evaluate (1/3*0)/((-2)/(-1)). 0 Evaluate (-12)/(-60)*-1*2/1. -2/5 Calculate 1*72/12*2/3. 4 Calculate 0*(-6)/48*4. 0 What is the value of (-24)/4*(-5)/(-40)? -3/4 What is the value of (5*1/(-3))/((-28)/(-14))? -5/6 Evaluate ((-18)/(-15))/(10/(-175)*-7). 3 What is (1/2*6)/((-378)/12)? -2/21 What is ((-5)/15)/(2/10)? -5/3 12/(-8)*4/(-6) 1 What is the value of (-12)/(-10)*(-310)/(-93)? 4 What is ((15/(-3))/(-40
{ "pile_set_name": "DM Mathematics" }
and ((-2)/4)/(5/46). 55 Let o = 11 - 7. Suppose j + v - 4913 = -535, -2*j - o*v + 8750 = 0. Let n = -26381/6 + j. Find the common denominator of -5/11 and n. 66 Let d = -10532 + 1258. Let f = 222613/24 + d. What is the common denominator of -95/6 and f? 24 Let l be (1 - 2)/(10/(-50)). Let s(o) = o**3 - 2*o**2 - 15*o + 3. What is the lowest common multiple of 6 and s(l)? 6 Let u = 7897/6840 - 82/171. Let a(q) = q**2 + 4*q - 1. Let p be a(-3). What is the common denominator of u and -21*p/288*-39? 40 Let i = 193 - -34. Calculate the smallest common multiple of 2 and i. 454 Let n(l) = 14*l**2 + l - 6. What is the least common multiple of n(2) and 4? 52 Suppose 0 = -2*l + 7 + 13. Let d(j) = j**2 + 9*j + 12. What is the least common multiple of l and d(-8)? 20 Suppose -7*q + 3*q = 8, 4*q + 170 = 3*h. Calculate the common denominator of ((-8)/656)/((-1)/h) and 40/3. 123 Find the common denominator of -43/12 and 2/6 - (-2900)/(-120). 12 Suppose 3*k + 0*i = -3*i + 6, -2*i = -2*k. What is the smallest common multiple of 6 and k? 6 Let x be 20342/21*5/2. Let i = x - 2445. Let p = i - -239/6. Calculate the common denominator of -55/4 and p. 4 Let a = 35 + -41. Find the common denominator of -17 and -1 - (-2 + 133/a). 6 Let o = 172 + -163. What is the lowest common multiple of o and 78? 234 Let m be 4/((-40)/(-16) + 2*-1). Calculate the common denominator of 27/8 and m/20 - 4/((-3680)/(-78)). 184 Let u be -1*1 - (-158588)/57156. Let d = 57177 + -148545851/2598. Let f = u + d. Calculate the common denominator of 15/4 and f. 44 Let l(f) = f**2 - 8*f - 16. Let g be l(10). Let q be (20918/(-12))/(g/(-6)). Let n = q - 2599. Calculate the common denominator of n and 21/10. 20 Let n(p) = -2*p - 9. Let t be n(-5). Let v be (-412)/t + (-8 - -8). Find the common denominator of 67/8 and 0 + v/(-8) + -4. 8 Suppose 35*c - 5749 = 2441. Calculate the lowest common multiple of c and 24. 936 Let w = -305/86 + 1969/2580. What is the common denominator of 149/162 and w? 1620 Suppose -h - n + 87 = -5*h, -3*h + 4*n - 75 = 0. Suppose 6*w = w + 20. Calculate the common denominator of h and (w/(-14))/(3/27). 7 Let s be ((-12)/9)/(2/(-9)). Let w be ((-40)/s)/((-2)/6). Calculate the common denominator of w/3 + 1/6 and 91/16. 48 Suppose 5*c + 4*b - 144 = 0, 17 - 37 = 5*b. Calculate the lowest common multiple of 8 and c. 32 Let n(s) = -26*s - 214. What is the least common multiple of n(-9) and 120? 120 Suppose 4*a - 5*x - 1 = -10, 0 = 2*a - 3*x + 7. What is the smallest common multiple of 292 and a? 292 Let k = 60219/104 - 579. Let c = -576803 + 659862703/1144. Let d = k + c. What is the common denominator of -10/9 and d? 99 Suppose 0 = 4*h + 4 - 60. Let f(r) = -r**3 + 3*r + 1. Let p be f(4). Let t = p + 65. Calculate the least common multiple of h and t. 14 Let t = -434237/252 - -12081/7. Find the common denominator of t and -43/28. 252 Let o = 11805734 - 141580121/12. Let a = o + -7386. Find the common denominator of 49/3 and a. 12 Let i = 120 + -23. Suppose -s = -2*s - l - 17, 5*s + i = -l. Calculate the common denominator of -81/22 and ((-1)/s)/(2/148). 110 Find the common denominator of -1 + -4 - (35/(-21) + 11) and -44/9. 9 Let w = 22 + -19. Let x be ((-20)/w)/((-1)/(-3)). Calculate the least common multiple of (176/x)/((-10)/25) and 14. 154 What is the common denominator of (26*1)/((-19)/(1463/(-63888))) and 89/2? 2904 Let a = -1619/56 - -282/7. Find the common denominator of a and (-20)/(-15) + 1*(-255)/72. 24 Let b = -18 + 3. Calculate the least common multiple of 162/15 - 3/b and 11. 11 Suppose -l + s = -7, 0 = 6*s - 2*s - 20. Suppose -5*z - 73 = -4*k + 246, 0 = -k - z + 91. Calculate the lowest common multiple of k and l. 516 Let v = -3919951/144 - -27221. Find the common denominator of -23/64 and v. 576 Let c = 2726 + -343577/126. Find the common denominator of -93/4 and c. 252 What is the lowest common multiple of 130 and (-80 - (3 + -5))*(-30)/12? 390 Let q be 20/(-110) - 1212/110. Let p = q + -1/2. What is the common denominator of p and 73/4? 20 Let f be (-4)/(-14) - 672/(-49). Let o = f - 5. What is the smallest common multiple of (-2)/(-4)*(o - 1) and 4? 4 Suppose 4*c = c - 18. Let k = c - -13. Let m = 321 + -311. What is the smallest common multiple of m and k? 70 Suppose 0 = 3*r + h - 591, -18*r + h = -17*r - 201. What is the lowest common multiple of r and 126? 1386 Let d = -17208 - -825917/48. Find the common denominator of -91/72 and d. 144 Let j(r) = -116*r - 2 + 9 + 115*r. Let y = 2 - 1. Calculate the least common multiple of j(3) and y. 4 Suppose 0 = 4*t - 8*t - 116. Let b = t + 65. Find the common denominator of b and -12/7. 7 Find the common denominator of 7/9 and 2/5 + ((-24010)/9900)/(-49). 198 Let h(r) be the second derivative of r**5/20 + r**4/2 + r**3/6 - r**2 + r. Let f be 2 + 21/3*-1. What is the lowest common multiple of h(f) and 18? 18 Suppose 3*t - 2*t = -4. Let m(k) = -k**2 - 5*k. Let j be m(t). Suppose 0 = j*n - 11 + 3. What is the lowest common multiple of 4 and n? 4 Suppose -61*u = -158*u + 11155. What is the smallest common multiple of u and 7? 805 Let l(x) = -x**2 - x + 1. Let k(d) = 2*d**2 + d - 10. Let p(j) = -k(j) - 5*l(j). Let c = -7 + 8. What is the lowest common multiple of c and p(-2)? 9 Suppose 2*s - 3*u = 32, -2*s + 0*u = 3*u - 32. What is the common denominator of (15/s - 1)*(-826)/(-14) and -119/12? 48 Let r be (-5)/(-5) + 3 - 114. What is the common denominator of 27 and 135/r + (-2 - -1)? 22 Find the common denominator of -101/18 and (-311)/252 - 306/(-136). 126 Suppose -19 = -5*m + 6. Suppose y = 5*t - 55 - m, 24 = 2*t + 2*y. Calculate the lowest common multiple of t and 10. 60 Let g be 5962/(-7928) - -1 - 1/4. Let o = 42625/5946 + g. Find the common denominator of 107/66 and o. 66 Suppose -15*u = -45 - 285. What is the least common multiple of u and 24? 264 Suppose a = 2*n + 54, 4*a - 2*n = 3*n + 201. What is the smallest common multiple of a and 50? 1100 Let t(z) = z + 13. Let h be t(-5). Let j(i) = 2*i - 2. Calculate the lowest common multiple of 6 and j(h). 42 Suppose 17*x - 387 = 2027. What is the least common multiple of 8 and x? 568 What is the common denominator of (71/(-32))/(2/4) and (-14)/(-24)*((-20)/(-4) - 15)? 48 Let t = 417 + -357. What is the least common multiple of 30 and t? 60 Let j = 12 - 8. Let b(y) = -y**3 - 5*y**2 - 5*y - 3. What is the smallest common multiple of 7*(68/14 - j) and b(-4)? 6 Let w = -1481 - -1517. What is the lowest common multiple of w and 20? 180 Let r = 221 - -16. Find the common denominator of (r/(-2))/(2 - -31) and -85/8. 88 Suppose 0 = 21*b + 32*b - 2014. What is the smallest common multiple of b and 18? 342 Let w(d) = d**3 - 4*d**2 - 13*d + 9. Let h be w(6). Let b(a) = -a**2 + a + 4. Let f be b(3). Calculate the least common multiple of (33/f)/h*-2 and 7. 77 What is the least common multiple of 77 and (88/16)/(2/4) + 0? 77 Let a = -345310561599/2960 - -116658972. Let i be (-4)/(-370)*(1 + -8). Let f = a - i. Calculate the common denominator of 59/16 and f. 16 Let o(g) = g**3 + 13*g**2 - 94*g - 48. Calculate the smallest common multiple of (-1)/3 - 100/(-3) and o(-18). 264 Suppose -4*x - 4*h + 5*h + 44 = 0, -3*h - 2 = x. What is the least common multiple of 502 and x? 2510 Let c(i) = i**2 + 6*i - 27. Calculate the least common multiple of c(-13) and 16. 64 Let p = 7527/1345 - -1/269. What is the common denominator of 10/33 and p? 165 Suppose 3*x = -37*s + 40*s + 330, -4*x - 2*s = -464. Calculate the lowest common multiple of 57 and x. 114 Let f = 35013/8 + -4382. What is the common denominator of 2033/(-608) - (-5)/4 and f? 32 Let f = 95 - 175. What is the common denominator of ((-8)/(-12))/(f/(-396)) and 89/8? 40 Let v(l) = -l**2 + 1. Let n be v(-1). Let c(p) = -p**2 + p + 6. What is the least common multiple of c(n) and 20/42*-3*-7? 30 Suppose 20 = -y + 2*y + d, -5*d = 4*y - 85. Let x = 39991/10 - 4005. Calculate the common denominator of x and (-386)/12 - (-10)/y. 10 Let a(s) = -5*s + 12. Let j be a(12). What is the common denominator of -91/2 and (j/8)/(1 - (-21)/12)? 22 Let y = 50521 - 2121739/42. Calculate the common denominator of y and 26/7. 42 Suppose -g = 2*b - 18, 0 = -2*g - 2*b + 6 + 26. Calculate the common denominator of (-7212)/(-840) + (-4)/g and -55/16. 80 Su
{ "pile_set_name": "DM Mathematics" }
+ 3*a**3 + 2*a**3 + (-4*a + 2*a + 0*a)*(3*a**2 - 4*a**2 + 4*a**2) + a**3 - 8*a**2 + 6 + 3*a**2 - 8. -3*a**3 - 5*a**2 - 2 Expand (-1 - 3*q**2 + 1)*(-2*q**3 + 3*q**3 + 0*q**3 + (0*q + 3*q - 2*q)*(-4*q**2 - q**2 + 4*q**2) + 0*q**3 - 6*q**3 - 2*q**3). 24*q**5 Expand (i**4 - 4*i + 4*i)*(-2*i + 0 + 0) - 64*i**5 - 1015*i + 1015*i + 11 - 11 - 3*i**5. -69*i**5 Expand (-2 + 3 + 0)*(5 + 3 - 4)*(-3*u**2 + 5*u**2 - u**2)*(2 + 0 + 3). 20*u**2 Expand (-3*b**3 - 28*b - 2285 + 2285)*(-3*b**2 - 2*b**2 + 4*b**2). 3*b**5 + 28*b**3 Expand (-l + l - 2*l)*(6*l**2 + 2*l**2 + 3*l**2)*(11*l**2 - 5*l**2 - 2*l**2). -88*l**5 Expand ((0*x + x + x)*(-2 + 4*x + 2) + 2*x**2 - 2*x**2 - x**2)*(1 - 6 + 0) + x**2 + 3 - 3. -34*x**2 Expand (1 + 1 + 1)*(-5 + 1 - 3)*(-5 + 4 - 5)*(3*r - 2*r - 4*r). -378*r Expand (3*p + 0*p - p)*(-p - 1 + 1) + 3*p**2 + p**2 - 3*p**2 + 23 - p**2 - 22 - p**2 + (1 + 2*p - 1)*(-p + p - 2*p). -7*p**2 + 1 Expand -2*i + 3*i + 0*i - 4*i - i + 4*i + (2 + 1 - 5)*(i + 3*i - 2*i) + 2*i - 2*i + i - 79*i + 44*i - 38*i. -76*i Expand (-2*d + 5*d - d)*(3*d + d - 3*d) + 2*d - 133*d**2 + 27*d**2 + 2 - 34*d**2. -138*d**2 + 2*d + 2 Expand -151*n**3 + 39664 + 3*n - 39664 + (3*n**2 - 3*n**2 + n**2)*(-3 - 2*n + 3). -153*n**3 + 3*n Expand (-2 + 2*r**2 + 2)*(-1124*r**2 - 49 + 265*r**2 + 49). -1718*r**4 Expand 15*f**3 - 217*f + 217*f + f**2 - f**2 + 2*f**3 + (-2 + 0 + 3)*(2*f**3 - 3*f**3 + 2*f**3). 18*f**3 Expand c**3 - 3 + 3 + (-6 + 6 - 7)*(3*c**3 + c**3 + 2*c**3) + 0*c**2 + c**3 + 0*c**2 + 3*c**3 + 0*c**3 - 2*c**3. -39*c**3 Expand (-5*h + 4*h + 0*h)*(-2 + 2*h + 2) + 11*h**2 - h**2 - 5*h**2 - 44*h**2 + 13*h**2 + 11*h**2. -17*h**2 Expand (-3*f + 4*f + 6*f)*(-5*f + 2*f + f) - f**2 - f**2 + f**2 + 99*f**2 - 27*f**2 + 7*f**2. 64*f**2 Expand b + 0*b + b + (-3 + 3 + 2)*(0*b - b - 7*b). -14*b Expand (-4*z + 2*z + z)*(11 - 6 + 9) + 0 + z + 0 + 2 - 2*z - 2 + (z + z - 3*z)*(-2 - 1 + 5) - 1 + 1 + z. -16*z Expand (-b**2 - 3*b**2 + 0*b**2)*(160*b - 31*b - 2*b). -508*b**3 Expand g**4 + 2*g**4 - g**4 + (0 + 2*g + 0)*(14*g**2 - 14*g**2 - 7*g**3) + (-4 + 2 + 0)*(-g**4 + 5*g**4 - g**4). -18*g**4 Expand 3*v**5 - v**5 + 25*v**5 + (-2*v + 2*v + 2*v)*(v**3 + v**4 - v**3) - 8*v**2 - v**5 + 8*v**2. 28*v**5 Expand (-172*y - 6 + 6 + (2 + 1 - 5)*(0*y - y + 2*y) - 4*y + 0*y + 2*y)*(1 + 2 - 1). -352*y Expand 10*p**3 - 7*p**5 - 10*p**3 - p**5 - p**5 + 5*p**5 + (p + 2*p - 5*p)*(-p**4 + 2*p**3 - 2*p**3) + p**5 + 2*p**3 - 2*p**3 + 4*p**5 - 6*p**5 + 4*p**5. p**5 Expand -3*t**3 + 4*t**3 + 2*t**3 + (-3 + 12 - 1)*(6*t**3 - 4*t**3 + 3*t**3) + 2*t**3 - 3 + 3. 45*t**3 Expand (0*b**3 + b**3 + b**3)*(1 - 3 + 4) + 2*b**3 - 3*b**2 + 3*b**2 + 151*b**2 + 5*b**3 - 291*b**2 + 143*b**2. 11*b**3 + 3*b**2 Expand (-5 + 3 + 4)*(-12*i - 104*i - 25*i)*(-3 - 2 + 0). 1410*i Expand (-2*x - 2*x + 3*x)*(-3*x + 3*x - 2*x) - 854*x**2 + 472*x - 472*x. -852*x**2 Expand (18*o - 6*o + 2 + 6*o)*(0*o**2 - 4*o**2 - o**2). -90*o**3 - 10*o**2 Expand (53*u - 291*u - 120*u)*(4 - 4 + 3). -1074*u Expand (-n**2 - 3*n**2 + 2*n**2)*(-2 - 4 - 8)*(94*n - 47*n - n)*(0*n - 4*n + 3*n - n**2). -1288*n**5 - 1288*n**4 Expand (5 - 4 - 10)*(6*c - 3*c - 5*c)*(3*c**3 - 5*c**3 - c**3). -54*c**4 Expand (o**3 - o**3 - 5*o**3)*(-53*o**2 + 240*o - 240*o)*(3 - 6 + 1). -530*o**5 Expand ((-r**3 + 3*r**3 + 0*r**3)*(6 - 3 - 1) + r**3 + 0*r**3 - 3*r**3 + 5*r**3 - 4*r**3 - 2*r**3)*(-77 + 42 - 64). -99*r**3 Expand (-10*v + 0 - 1 + 28*v)*(0*v**2 - 2*v**2 + v**2). -18*v**3 + v**2 Expand (-5 - 2 + 30)*(-k**4 + 0*k**4 + 0*k**4) - 2*k**2 - 2*k**4 - 4*k - 3*k**4 + 3*k**4. -25*k**4 - 2*k**2 - 4*k Expand 4*a - 3*a - 6*a - a**2 + (a + 0*a + a)*(4*a + 4*a - 2*a). 11*a**2 - 5*a Expand (-2*s + 4*s - 3*s + (-3*s + s + s)*(-3 - 1 + 2) - 4*s - 2*s + 2*s)*(-5 + 4*s + 0*s - s). -9*s**2 + 15*s Expand (-n + 4*n - 2*n)*(-3 - 4*n + 3) + 3*n**2 + n**2 - 5*n**2 + (2*n + 2 - 2)*(2*n + n + 3*n). 7*n**2 Expand ((0 + 0 + 3)*(-x - x + 3*x) - 2*x + 3*x - 3*x)*((-3 - 1 + 6)*(4 - 1 - 4) + (-3 + 0 + 2)*(7 - 6 + 8)). -11*x Expand (3*z**3 - 3*z**3 - z**3)*(0 + 2 + 1)*(z + 2 - 2)*(z + 2*z + 4*z). -21*z**5 Expand (190*w**2 + 168*w**2 - 756 + 756)*(-3 + 3 + 9*w**2). 3222*w**4 Expand ((2 + 1 - 7)*(0 - 3 + 1) + 15 - 45 + 8)*(-2 - 2*y + 2). 28*y Expand (26 + 11 + 33)*(5*o + 1 - 1)*(-3 - 1 + 2). -700*o Expand x**4 + 4 - 4 - x**4 + 3*x**4 + 6*x - x**4 + (6*x**3 - 9*x**2 + 9*x**2)*(-4*x + 4*x + 3*x). 20*x**4 + 6*x Expand (1 - 1 - 3)*(-3 + 2*m + 3)*(2 + 21 - 6). -102*m Expand (-5 + 1 + 2)*(1059 - 1059 - 199*x**4). 398*x**4 Expand -2*r - 1 + 1 + (-1 - 2 + 4)*(2 - 2 + 5*r) + 6*r - 3*r - 2*r + (2*r - 3*r + 3*r)*(11 + 12 - 5). 40*r Expand (18*t - 25*t - 5 + 3)*(-862*t - 16*t**3 + 862*t). 112*t**4 + 32*t**3 Expand -15*u**4 + 206*u**2 - 206*u**2 + (-3 - 2*u + 3)*(3*u**2 - u**2 - 3*u**2)*(-6*u - 3 + 3)*(-5 + 4 + 0). -3*u**4 Expand -20*g**5 - 18*g**5 - 11*g**5 - g**5 + 16*g**5 - 11*g**5 + g**5 + g**4 - g**4 + (-g**5 + g**5 - 2*g**5)*(-3 - 3 + 5). -42*g**5 Expand 3*t - t - t + (t + 1 - 1)*(4 + 2 - 4) + 10*t - 20 + 20. 13*t Expand (4 + 2 - 4)*(4*w + 0*w + 0*w)*(-8 + 8 - 4*w)*(-2 + 4 - 3). 32*w**2 Expand (9*s**2 - 85 + 85)*(1 + 38*s + 2 - 39*s). -9*s**3 + 27*s**2 Expand (6*m**2 + m**2 - 2*m**2)*(41*m**2 + 59*m**3 - 41*m**2). 295*m**5 Expand (-h + h - 1 - 3*h + (-4 - 1 + 3)*(2*h - h - 3*h))*(0*h + h - 2*h) + (h + 6*h - h)*(2*h + 0*h - 4*h). -13*h**2 + h Expand (2*j + 0*j - 3*j)*(17 + 15 - 9) - 25*j + 6*j - 17*j. -59*j Expand d**3 + 3*d**3 - 3*d**3 + (0 + 0 + 2*d**2 + 1)*(65 - 67*d - 65). -133*d**3 - 67*d Expand (2 - 4 + 4)*(-5*q + 3*q + 6*q)*(-q**3 - 2*q**3 + q**3 + (2*q**3 - 5*q**3 + q**3)*(3 + 1 - 6)). 16*q**4 Expand (-4 + 1 - 1)*(5*z**3 + 15*z**3 - z**3)*(z**2 - z**2 + z**2)*(0 + 1 - 3). 152*z**5 Expand (-b**2 + 3*b**2 + b**2)*(32*b**2 + 29*b**2 - 88*b**2). -81*b**4 Expand -619 - 18*n + 619 - 2*n - 2 + 2 + (0 + 4 - 3)*(-2*n - 2*n + 2*n). -22*n Expand (-2 + 2 + q)*(-q - 2 + 2) - 40*q + 29*q**2 - 1 - 50*q**2 + 42*q. -22*q**2 + 2*q - 1 Expand (1 - 3 - 5)*(2*m**2 + 15 - 54 - m**2). -7*m**2 + 273 Expand 19*i**5 + 15*i**5 - 22*i**5 - i**5 + i**5 + 2*i**5 + (0*i**3 + 4*i**3 - 5*i**3)*(9*i**2 - 2*i**2 + 0*i**2). 7*i**5 Expand (l + l - 3*l)*(-1 + 3 - 5)*(1 + 0 + 2)*(-5*l**2 - 9*l**2 + 3*l**2). -99*l**3 Expand (4 + 2*i + 1 - 3)*(0 + 0 + 8)*(i**4 - 5*i**4 + 3*i**4). -16*i**5 - 16*i**4 Expand (-4 + 4 + j)*(890 + 371 - 181 + 889 + 161). 2130*j Expand (-5 + 2 + 4 - 1 + 6 - 3 + 0 + 0 + 1 + (1 - 6 + 3)*(1 - 2 + 2) + 1 - 1 + 2 + 0 + 0 + 2)*(2*q + 0*q + 8*q). 60*q Expand -18*d**2 + 38*d**2 + 12 - 18*d**2 + d**3 + (5*d**2 + d**2 + 2*d**2)*(-6*d + 2*d + 5*d). 9*d**3 + 2*d**2 + 12 Expand (-i**2 + i**2 + i**2)*(-5*i + 2*i - i) + (-3 + 3 + 1)*(3*i**3 - 6*i**3 + i**3) + (3*i - 4*i + 2*i)*(3*i**2 + 1 - 1). -3*i**3 Expand (4*b + 3*b + 0*b)*(8 + 9*b - 8). 63*b**2 Expand -7*i**3 - 20*i**2 + 20*i**2 - i**3 + 2*i**3 + i**3 + (-5*i - 2*i + i)*(2*i**2 - 8*i**2 - 7 + 6). 31*i**3 + 6*i Expand 10*v + 6*v - 6*v + (-2*v - 4*v + 4*v)*(-1 - 7 - 4). 34*v Expand (0*g - 2*g**2 + 0*g)*(6 - 3*g + g**2 - 5 + 0) - 8*g**2 + 7*g**4 + 8*g**2. 5*g**4 + 6*g**3 - 2*g**2 Expand 3*m**2 - 3*m**2 + 4*m**2 + 0*m**2 - 3*m**2 + 2*m**2 + (3 + 2*m - 3)*(0 + 0 - m). m**2 Expand (1 - 4*q - 100*q**2 - 3 + 98*q**2)*(12*q + 102*q + 37*q). -302*q**3 - 604*q**2 - 302*q Expand (-3*x + 0*x + 5*x)*(-3*x - x + 3*x)*(100*x - 122*x + 123*x). -202*x**3 Expand (0 + 0 - 3*l)*(-58 + 234 + 32). -624*l Expand 4 - 4 - 2*h**2 + (677*h - 1200*h + 694*h)*(1 - 1 + h). 169*h**2 Expand -4*b + 0*b + 5*b + (4 - 7 + 1)*(3*b - 2*b + 0*b) + 4*b - 5 + 5 + 8*b - 20*b - 14*b + (3*b - 2*b + b)*(2 + 0 - 3). -25*b Expand n**3 + 226*n**5 - 2*n**3 - 76*n**5 + (2 + 3 - 6 + n**2)*(-n**3 - 2*n**3 + 5*n**3). 152*n**5 - 3*n**3 Expand 15*y + 4*y**4 - 15*y + 2*y - 2*y - 2*y**4 + (-5 + 2 + 1)*(y**4 - 3*y**4 + 0*y**4) + (-19*y + 19*y + 5*y**2)*(5*y**2 - 4*y**2 - 3*y**2). -4*y**4 Expand (18*s - 9*s - 13*s + (28*s - 518 + 518)*(5 - 4 + 0))*(-5*s**2 + s**4 - 2*s**4 + 3*s**2). -24*s**5 - 48*s**3 Expand (-4*x + 4*x + x)*((2 + 1 - 4)*(2 - 1 - 2) + (2 + 2 - 2)*(0 - 1 + 3) + (-8 + 7 + 16)*(0 - 2 + 1)). -10*x Expand (-20 + 0 - 19 - 2)*(3 + 3*b - 3). -123*b Expand (-4*q**2 + 3*q**2 + 3*q**2)*(-8*q**2 - 7*q**2 + 10*q**2) - q**4 + 4*q**3 - 15*q**2 + 15*q**2. -11*q**4 + 4*q**3 Expand ((1 + 2 - 2)*(2*t - 6*t + 3*t) + 0 + 0 - t - 16*t + 223*t - 3
{ "pile_set_name": "DM Mathematics" }
t x(n) = n**3 + 14*n**2 + 6*n + 2. Let f = -1662 - -1648. Calculate x(f). -82 Let b = 218 - 955. Let i = 731 + b. Let w(v) = -v**2 - 5*v + 8. Determine w(i). 2 Suppose -48 = 4*s - 4*v, -s + 1 + 2 = 2*v. Let u(h) = 3*h - 1. Let k be u(1). Let i(y) = 3*y**2 - 10 + 0*y**2 - 2*y**2 - 2*y**k - 8*y. What is i(s)? -3 Let s(r) be the second derivative of r**4/12 + 3*r**3/2 + 2*r**2 + 1416*r. Determine s(-11). 26 Let a(w) = w**3 - 9*w**2 - 11. Let g = 549 + -108. Let y = g + -432. What is a(y)? -11 Let d(b) = -30*b - 345. Let r(i) = -3*i**2 - 15*i + 301. Let h be r(-13). Determine d(h). -15 Let g = 7 - 11. Let t(p) = -4*p - 16. Let q be t(g). Let y(c) = -10*c - 7 + 12 - 6 + q. What is y(-1)? 9 Let u(b) be the second derivative of b**7/840 - 7*b**6/360 + b**5/20 + b**4/8 - 41*b**3/6 - b**2 - 152*b. Let c(v) be the second derivative of u(v). Give c(7). 45 Let t(j) = 28*j + 392. Suppose 0 = -w + 6*w + 3*m + 91, -2*w - 3*m - 49 = 0. Determine t(w). 0 Suppose -21*d + 15 = -16*d. Let w(m) = 9*m**2 + 1 + m + 1 + m**2 - m**d - 7*m**2. Suppose 2*o + i - 4*i - 3 = 0, -4*i + 4 = 0. Give w(o). 5 Let v(c) = 1 - 68*c + 110*c - 33*c + 42*c. Determine v(-1). -50 Let n(y) = 2*y + 3. Let l(o) = -15*o - 23. Let r(t) = -3*l(t) - 21*n(t). Let f(d) = d**3 + 4*d**2 + 5*d + 2. Let w be f(-3). Give r(w). -6 Let w(b) = 6*b**2 - 2*b**2 + 9*b - 9 + 4*b**2 + b**3. Suppose -11*q - 233*v = -238*v + 97, 0 = -2*q + v - 18. What is w(q)? -23 Let j(m) = -m**3 + 143*m - 16. Let z(q) = -10*q**2 + 6*q + 4. Let w be z(-1). Give j(w). -4 Let s be -3 + 1 - (1 - 1)/(-3). Let t(c) = -9*c**3 - c**2 + 10*c + 5. Let d(h) = 5*h**3 - 6*h - 3. Let l(o) = -7*d(o) - 4*t(o). Give l(s). 5 Let a(u) = 17*u + 25. Let r(c) be the second derivative of -4*c**3/3 - 11*c**2/2 - c + 8. Let o(v) = -6*a(v) - 13*r(v). Calculate o(0). -7 Let b(p) = p**3 - 5*p**2 + 2*p - 13. Let h = 4980 - 4974. Give b(h). 35 Let o = 1500 + -1496. Suppose -16 = -0*b - 3*b - 2*a, 3*b + 4*a - 26 = 0. Let z(w) = -3 + 2 - 5 + w**b + o*w. Give z(-6). 6 Suppose -4*v = -v - 5*x - 2030, 0 = -5*v - x + 3430. Let r(s) = 3*s - v + 674 - 2*s. Determine r(17). 6 Let c(j) = -3*j + 34. Let v be c(7). Let g(r) = -4 + 2*r + v + 3 + 7. Give g(-11). -3 Let a(b) = -b**3 + 5*b**2 - 10*b + 5. Let j be (-36 - (23 + -67)) + 2*(-2 - 0). What is a(j)? -19 Let o = -28 + 39. Let n be (4 - (3 - -4)) + 44. Suppose o = -5*u + n. Let m(k) = k**2 - 8*k + 5. Determine m(u). -7 Let k(u) = -55231*u**3 + 27622*u**3 + 16*u**2 + 33*u + 27610*u**3 + 28. Give k(-13). 106 Let i(c) = 2*c**2 + 58*c - 71. Let k = 2012 + -2042. Give i(k). -11 Suppose -2*d + 5*z + 19 = 0, -d - d + 10 = -2*z. Suppose 6 = d*j + 16. Let g(q) = q**2. Let c(o) = 3*o**2 - 6*o - 5. Let u(i) = c(i) - 4*g(i). Determine u(j). 0 Let h(s) = s + 7. Let d(t) = 3*t**3 - 15*t**2 + 17*t - 6. Let v be d(2). What is h(v)? -1 Let r(k) = -k**3 + 14*k**2 + 3*k - 20. Suppose 3*i = 42 - 0. Calculate r(i). 22 Let n(s) = -2*s - 20. Let q be n(-11). Let a(m) be the first derivative of -m**4/4 - m**3/3 + 2*m**2 - 3*m - 947. Determine a(q). -7 Suppose 212*x - 1369 - 563 = -110*x. Let j(l) = 8*l**2 - 9*l - 8. Let g(z) = -z**2 - 6*z**2 + 6 + 1 + 8*z. Let n(c) = x*j(c) + 7*g(c). Determine n(3). -2 Let l(j) = -7*j + 58. Let u(f) = -1896*f + 9482. Let p be u(5). Give l(p). 44 Let p(o) = 71*o**2 - 5*o - 2. Let y be (2*(-10)/20)/(5 - 4). Give p(y). 74 Let i(q) = -2*q + 69. Let a be -19*32/(-2736) - (-222)/(-27). What is i(a)? 85 Let t = 1237 - 1244. Let m(x) = x**3 + 9*x**2 - 3*x - 4. Calculate m(t). 115 Let g(n) be the second derivative of -n**3/6 + 5*n**2/2 + 63*n - 11. Let k = 3 + -1. Suppose k*r = -0*r. What is g(r)? 5 Let j(c) = -48*c + 9. Let m(w) = -211*w + 38. Let t(k) = -26*j(k) + 6*m(k). Calculate t(-4). 66 Let t(j) = 2*j - 7. Let c(z) = -10*z - 1. Let q be c(-1). Suppose 0 = q*a - 7*a - 4. Suppose a*y = 8 + 4. What is t(y)? 5 Let j = 690 - 694. Let l(k) = 2*k**2 + 11*k + 42. Calculate l(j). 30 Let f(h) = h**3 - 7*h**2 + 3*h - 16. Let t be f(7). Suppose 3*n + 2*w - w = 9, -t*w + 17 = n. Let d(q) = 3 - 19*q + q**n + 27*q - 17*q. Give d(9). 3 Suppose 3*k + 2*h - 73 = 33, -100 = -3*k + h. Suppose -3*b + 1 = k. Let f(i) = -i - 10. Give f(b). 1 Let g(u) = -56*u**3 - 20*u**2 - 2*u + 16 - 13*u**2 - 65 + 55*u**3. Give g(-33). 17 Let t(c) = 0*c + 14*c - 39656 - 4*c + 39664. Give t(4). 48 Let l(h) be the first derivative of -3*h + 0*h**2 - 51 + 1/2*h**4 - 1/3*h**3. Calculate l(3). 42 Suppose -1684 = 7*d - 1719. Let j(o) = -14*o**2 - o**3 + 8 + 6 + 3*o + 14*o + d. Calculate j(-15). -11 Suppose 55 - 11 = -4*c. Let q(p) = -p**3 - 10*p**2 + 10*p + 5. Determine q(c). 16 Let x(f) = -2*f**3 - 47*f**2 - 39*f - 30. Let j(h) = 14*h**3 + 330*h**2 + 276*h + 216. Let k(v) = 6*j(v) + 43*x(v). Give k(-20). 26 Let g(r) = -13*r - 1. Let a(t) = 5*t**2 - 15*t - 4*t**2 - 4 + 0*t**2 + 5. Let o be a(15). Give g(o). -14 Let p(j) = -j**3 - 6*j**2 + 15*j - 3. Let l(v) = -v**2 - 7*v + 10. Let f be l(2). Let g be p(f). Let k(b) = -6*b + g*b - 5 + 0. Calculate k(-7). 2 Let u(l) = -2*l**3 - 123*l**2 + 2*l + 29. Let z(m) = -3*m**3 - 172*m**2 + 3*m + 43. Let f(i) = -7*u(i) + 5*z(i). Let h be 4/14 - (-6)/(-21). Calculate f(h). 12 Let p be 4/(-2) + (-150)/(-25). Suppose -p*n - 22 = r, 4*r + n = 3*n + 2. Let l(i) = -4*i**2 - 2*i - 123*i**3 + 120*i**3 + i**2 + 2. Calculate l(r). 18 Let d(b) = -33*b - 93. Let c = 30291 - 30294. Give d(c). 6 Let x(j) = 9*j**2 + 10. Let a(m) = 13*m**2 + 14. Suppose 3*d + q = 19, 3 = -d - 4*q + 2. Let w(v) = d*x(v) - 5*a(v). Calculate w(3). -18 Let m(q) be the third derivative of -19*q**4/24 - 58*q**3/3 - 179*q**2 + 6*q. Give m(-6). -2 Let h(b) = 0*b + b**2 + 2 - 3*b - 10. Let y be 1355/69105 + 610/102. Calculate h(y). 10 Suppose -94 = -33*x + 71. Let v(b) = 4*b**2 - 97*b + 1 + 89*b - x*b**2. Determine v(-9). -8 Let x(v) be the second derivative of -39*v + 0 - 1/120*v**5 + 0*v**2 - 4/3*v**3 - 1/24*v**4. Let w(f) be the second derivative of x(f). Calculate w(9). -10 Let m(a) = -8*a**3 + 4*a**2 + 3*a - 19. Let f(k) = -3*k**3 - k**2 - 9. Let p(n) = -2*f(n) + m(n). Give p(2). 13 Suppose 2*x + 22 = -2*t, 5*t + 0*x = 2*x - 20. Let k(a) = -2*a**2 - 3*a - 4. Let z(j) = -4*j**2 - 4*j - 7. Let q(o) = -7*k(o) + 3*z(o). What is q(t)? 25 Let q(n) = n. Let h be ((-248)/(-12))/((-4)/(-6)). Let y = 37 - h. Suppose -6 = 2*t - y. Calculate q(t). 0 Suppose 4*v + 31 = -t - v, 15 = -5*t + 3*v. Let p be ((-9)/6)/(-3 + (-15)/t). Let g(r) = 16*r + 1 + r**2 - 14*r + p*r**2 + r**3. Determine g(-3). 4 Let p(z) = -33 + 264*z + 18*z**2 + z**2 - 265*z + z**3 + 0*z**3. Calculate p(-19). -14 Let t(g) = -32*g**3 - 3 + 18*g**3 + 0 - 2 + 12*g**3 - 10*g**2 + g. What is t(-5)? -10 Let y(c) be the second derivative of c**6/240 - c**5/8 + 3*c**4/4 + 6*c. Let s(a) be the third derivative of y(a). Let u be s(4). Let j(i) = 5*i. Give j(u). -15 Let j(v) be the third derivative of 0 + 1/2*v**3 + 1/60*v**5 + 24*v**2 - 2*v + 1/6*v**4. Determine j(-2). -1 Let h(k) = -6*k**2 + 12*k + 4. Let i(n) be the first derivative of -7*n**3/3 + 15*n**2/2 + 4*n + 9. Let o(b) = -5*h(b) + 4*i(b). Calculate o(3). 14 Let w(d) be the first derivative of -d**2/2 - 11*d + 39. Suppose 3*l - 2*h = -h + 4, l = h. Suppose 4*f = -l*y - 14, 4*y - 2*y - 3*f = -21. Calculate w(y). -2 Let f(v) = -106 + 12 + 3 + 6*v - 30*v + 18. Determine f(-3). -1 Let h(q) be the second derivative of -q**5/10 - 5*q**4/12 + 41*q**3/6 - q**2/2 + 2792*q. Give h(-6). 5 Suppose 5*d = 3*u - 40, -3*d = -3*u - 10 + 40. Suppose 0 = -4*b - 4*q + 13 - 1, 0 = u*b + 3*q - 13. Let a(f) = 9 - f**3 - 14 - 4*f**2 + 10*f**b. What is a(6)? -5 Let c(p) = -21*p - 859. Let h be c(-41). Let x(t) = -7*t**3 + 2*t**2 + 4*t - 4. Determine x(h). -44 Let q(d) be the first derivative of d**3/3 - 7*d**2/2 - 10*d + 4. Let r be (-5)/2*(6/5 - 4). Give q(r). -10 Let d(c) = -4*c + 15. Let j(i) = 4*i**3 - 70*i**2 - 38*i + 34. Let b be j(18). Give d(b). 23 Let z be ((-378)/360 - (-1)/4)*10. Let h(c) = c**3 + 8*c**2 + 3*c + 17. Calculate h(z). -7 Let d(y) be the first derivative of 5/2*y**2 + 6*y + 116 + 1/3*y**3. Determine d(-4). 2 Let o(u) be the second derivative of u**4/4 - 37*u**3/6 + 9*u**2 - 4673*u. Calculate o(12). 6 Let n(q) = -q + q + q**3 + 5*q**2 + 1 + 0*q**2 - q. Let z be 231/(-70) - -3 - (-188)/(-40). Determine n(z). 6 Let q(k) = k - 10. Let z(y) =
{ "pile_set_name": "DM Mathematics" }
3 in ascending order. -82, -5, -4, -2, 3, 4 Put -2, -34, -4, -5, -6 in decreasing order. -2, -4, -5, -6, -34 Sort 2, 24, -2, 3, -1088, 8 in decreasing order. 24, 8, 3, 2, -2, -1088 Put 3, 5, -37571 in ascending order. -37571, 3, 5 Put -3, 0.4, -5/112, 0.11 in increasing order. -3, -5/112, 0.11, 0.4 Sort -3, -1/7, 2, -0.3, 0.02656 in descending order. 2, 0.02656, -1/7, -0.3, -3 Put 17, 12, -1.4, -7.2 in ascending order. -7.2, -1.4, 12, 17 Put -3, 4, 26, -1793, -11 in descending order. 26, 4, -3, -11, -1793 Sort 3, 5, 35, -2, 4, 31 in increasing order. -2, 3, 4, 5, 31, 35 Put 5, 4, -2, 421, 8, 3 in ascending order. -2, 3, 4, 5, 8, 421 Sort -1, 3/4, -6, -17, 2/23 in increasing order. -17, -6, -1, 2/23, 3/4 Sort 0, -247, 5, -18, -4. -247, -18, -4, 0, 5 Put -2, 4, 1564, -19 in increasing order. -19, -2, 4, 1564 Sort -0.1, -2/13, -6245. -6245, -2/13, -0.1 Sort 19, -2, -1, -87, 5. -87, -2, -1, 5, 19 Sort 1121, 1/2, 0 in increasing order. 0, 1/2, 1121 Sort -1, 0.2, -46, 8 in descending order. 8, 0.2, -1, -46 Put 48/5, 2/3, 3, 0.2 in descending order. 48/5, 3, 2/3, 0.2 Sort 0.1, 9, 0.2, -4. -4, 0.1, 0.2, 9 Sort -411, -3, 73, -2, 1 in descending order. 73, 1, -2, -3, -411 Sort -958, 13, -6 in decreasing order. 13, -6, -958 Sort 3, -0.3, 195, 19, -0.2 in ascending order. -0.3, -0.2, 3, 19, 195 Sort -24, 0, -9, -5248 in decreasing order. 0, -9, -24, -5248 Sort 3, -4, -4/19, -12 in descending order. 3, -4/19, -4, -12 Put -8, -4, -55, 3 in descending order. 3, -4, -8, -55 Sort 0.062, 0.3, -0.58 in decreasing order. 0.3, 0.062, -0.58 Put 722, 0.1, -1, 0.179 in descending order. 722, 0.179, 0.1, -1 Put 38, 113, 1 in increasing order. 1, 38, 113 Sort 5, 2768, 12 in descending order. 2768, 12, 5 Put -4, 9, 7, 3, -3, -2 in ascending order. -4, -3, -2, 3, 7, 9 Put 4/19, 0, -0.1 in descending order. 4/19, 0, -0.1 Put -3, -149, -56, 11 in descending order. 11, -3, -56, -149 Sort 2138, -46, 2/9 in descending order. 2138, 2/9, -46 Sort -1/4, 1.91, 9, 1/7, 3 in increasing order. -1/4, 1/7, 1.91, 3, 9 Sort -205, 25, -18, 5 in ascending order. -205, -18, 5, 25 Sort 3, -822, 10. -822, 3, 10 Put -1711, -586, 4 in increasing order. -1711, -586, 4 Sort 0, 4, 183, 24 in descending order. 183, 24, 4, 0 Put -381, -4, 55 in decreasing order. 55, -4, -381 Sort 3, 2/7, -0.76, -0.026, 5, 0 in descending order. 5, 3, 2/7, 0, -0.026, -0.76 Sort -3, 0.3, 0.14, 7, 0.39, -0.4 in increasing order. -3, -0.4, 0.14, 0.3, 0.39, 7 Sort -1, -16, -53888, 2 in decreasing order. 2, -1, -16, -53888 Sort -0.07, -0.5, -1/6427. -0.5, -0.07, -1/6427 Put -3, 0, -5, -13, 9, -265 in increasing order. -265, -13, -5, -3, 0, 9 Put 1640, -5, -27 in descending order. 1640, -5, -27 Put -4044, -1/3, 3, -3, 23 in descending order. 23, 3, -1/3, -3, -4044 Put 123, 1, -3, -6, -30 in descending order. 123, 1, -3, -6, -30 Sort -64, 0.3, -2/309, 7. -64, -2/309, 0.3, 7 Sort 146, -1, 42, 4 in decreasing order. 146, 42, 4, -1 Sort -1191, 5, 3, 0, -5 in ascending order. -1191, -5, 0, 3, 5 Put 1, -0.5, 4/5, 698 in ascending order. -0.5, 4/5, 1, 698 Put -372, 1/3, -8, -2/3 in descending order. 1/3, -2/3, -8, -372 Sort -1/2, -138, -3/7, -3, -5 in ascending order. -138, -5, -3, -1/2, -3/7 Put -135, -4, -13, -3 in ascending order. -135, -13, -4, -3 Put 0, 4, -2, 2760, 1 in ascending order. -2, 0, 1, 4, 2760 Sort -2, 2/41, -118, 3, -1 in decreasing order. 3, 2/41, -1, -2, -118 Sort 6, -169, 2/7 in decreasing order. 6, 2/7, -169 Put -4, -2, 9, 6, -91, -5 in increasing order. -91, -5, -4, -2, 6, 9 Sort 0.2, -93, 0.011, 1, 0. -93, 0, 0.011, 0.2, 1 Sort 53549, -4, -5 in decreasing order. 53549, -4, -5 Sort 2, 3, -8152, -8 in descending order. 3, 2, -8, -8152 Put 23, -149, 2, 1, 4, -8 in increasing order. -149, -8, 1, 2, 4, 23 Put 1/2, 2/7, -9/14, -2/13, 10, -5 in decreasing order. 10, 1/2, 2/7, -2/13, -9/14, -5 Sort -4, -2/15, 1, 1020.4. -4, -2/15, 1, 1020.4 Sort 3, -1, -0.5, 0.5, -168 in ascending order. -168, -1, -0.5, 0.5, 3 Put 14, -3, 1, 4, 25 in decreasing order. 25, 14, 4, 1, -3 Put 28, -4, -1382, -1 in decreasing order. 28, -1, -4, -1382 Sort 470, -0.04, 3, -2, 0.1 in ascending order. -2, -0.04, 0.1, 3, 470 Sort -0.06, 2/149, 1/3, 5, -1, 0.5 in decreasing order. 5, 0.5, 1/3, 2/149, -0.06, -1 Put -4/3, -17/4, 2/3, -3, 18.42 in decreasing order. 18.42, 2/3, -4/3, -3, -17/4 Sort 4, 5, 11, 0, -5, 717. -5, 0, 4, 5, 11, 717 Sort -5, 80, 41, 3, 4 in ascending order. -5, 3, 4, 41, 80 Put -3, 2, 3, -381, -1, 263 in descending order. 263, 3, 2, -1, -3, -381 Sort -6, 3/4, -56/9, -11, 2, -3. -11, -56/9, -6, -3, 3/4, 2 Put -5, 231, -19, 4, 2 in ascending order. -19, -5, 2, 4, 231 Sort -3, -2, 30726. -3, -2, 30726 Sort -52/35, -7.8, 0.5. -7.8, -52/35, 0.5 Sort -0.562, -292, 4 in decreasing order. 4, -0.562, -292 Sort -15, 5, -5, -37, 2, -7 in decreasing order. 5, 2, -5, -7, -15, -37 Sort -2, -4, 12.942. -4, -2, 12.942 Put 1, -27, -1448 in descending order. 1, -27, -1448 Put -37, -3, -4, 722, 0 in descending order. 722, 0, -3, -4, -37 Sort 48/947, -2, 3 in descending order. 3, 48/947, -2 Sort -4, 2, -3, 27928 in increasing order. -4, -3, 2, 27928 Put -4, 3, 79485, 0 in decreasing order. 79485, 3, 0, -4 Sort 2, 5/2, -0.5, 0.5, -32 in decreasing order. 5/2, 2, 0.5, -0.5, -32 Sort 8, -183, -4 in decreasing order. 8, -4, -183 Sort -74, 1/12, 45/4, -0.3, 0.2 in decreasing order. 45/4, 0.2, 1/12, -0.3, -74 Sort -1, 225, 54 in decreasing order. 225, 54, -1 Sort 2, 1/3, 176154. 1/3, 2, 176154 Sort -8, 3, 10, 6, 4, 25 in ascending order. -8, 3, 4, 6, 10, 25 Put -1, 0.2, -9, -4, -5, 24 in decreasing order. 24, 0.2, -1, -4, -5, -9 Sort 0, -4, 1, -122, 3, -6. -122, -6, -4, 0, 1, 3 Sort 0.0488, -2/9, 1/7, -0.1, 0.5 in increasing order. -2/9, -0.1, 0.0488, 1/7, 0.5 Put 1, -1, -475, 1/8, 0.3 in descending order. 1, 0.3, 1/8, -1, -475 Sort 2, 122, -2216. -2216, 2, 122 Sort -9/10, 1/5, -1, 2/23, 0.3, 2 in increasing order. -1, -9/10, 2/23, 1/5, 0.3, 2 Sort -229, 5, -2, -1/3 in ascending order. -229, -2, -1/3, 5 Sort 3, -2, -346, 0, 1 in increasing order. -346, -2, 0, 1, 3 Sort -5, -136, 12, -1 in decreasing order. 12, -1, -5, -136 Put 57553, -6, -3 in decreasing order. 57553, -3, -6 Put -3, -137, 2, 1, -4 in descending order. 2, 1, -3, -4, -137 Sort -72.8, -3, -0.5, 2/9, -1/22 in increasing order. -72.8, -3, -0.5, -1/22, 2/9 Put 0, -11196, 4, -2 in descending order. 4, 0, -2, -11196 Sort -1, 0, 3, 664 in increasing order. -1, 0, 3, 664 Sort 0.5, 107/11, -2/21, 0.1 in decreasing order. 107/11, 0.5, 0.1, -2/21 Sort 21, -2/9, 0.4, 0.2, 0 in decreasing order. 21, 0.4, 0.2, 0, -2/9 Sort -4, -5, 4, 120, -329. -329, -5, -4, 4, 120 Put -3/5, -770.7, -67, 0.3, 3 in increasing order. -770.7, -67, -3/5, 0.3, 3 Put -3, 51, 4, 6, 17 in descending order. 51, 17, 6, 4, -3 Put 0, 4, -537 in decreasing order. 4, 0, -537 Sort 823, -0.4, 0, 1/2, -1/21, 1/4 in descending order. 823, 1/2, 1/4, 0, -1/21, -0.4 Sort 4, -4, -225053 in descending order. 4, -4, -225053 Put -5, 10/7, -3/16, 2/3, -1 in ascending order. -5, -1, -3/16, 2/3, 10/7 Sort -13589, 0.1, -2/13, 0.4, 0.3 in decreasing order. 0.4, 0.3, 0.1, -2/13, -13589 Sort 6.9, -0.4, 0, 4/7. -0.4, 0, 4/7, 6.9 Put 1, 5, 17, 136, -5 in ascending order. -5, 1, 5, 17, 136 Sort 1, 5, -1660, 3, 0 in descending order. 5, 3, 1, 0, -1660 Sort 7, 5, 1, 340 in increasing order. 1, 5, 7, 340 Put -2, 2, 0, 175, 5 in ascending order. -2, 0, 2, 5, 175 Sort 2/11, -63/5, -4/105, 2/13, 1/9 in increasing order. -63/5, -4/105, 1/9, 2/13, 2/11 Put -2, 5, 2, 809, 4 in descending order. 809, 5, 4, 2, -2 Put -6, -0.1, -0.3, 0.5, -4/11 in increasing order. -6, -4/11, -0.3, -0.1, 0.5 Sort -2, -4, 107, -7, 3. -7, -4, -2, 3, 107 Sort 7, 97, -4, 3 in ascending order. -4, 3, 7, 97 Put 4, 383, 3, 7, 2, 0 in decreasing order. 383, 7, 4, 3, 2, 0 Sort 11, 2303, 4, -4 in descending order. 2303, 11, 4, -4 Sort -17, -2, -242, 4, -5, -3 in ascending order. -242, -17, -5, -3, -2, 4 Sort 47, 6, -6, 0, 1, 4 in decreasing order. 47, 6, 4, 1, 0, -6 Sort -1/3, 0, 1/4, 7, 13 in descending order. 13, 7, 1/4, 0, -1/3 Put 22, -0.07, -3/13, 2, -2, 4 in ascending order. -2, -3/13, -0.07, 2, 4, 22 Sort -2, 0, -1, 548, -3 in increasing order. -3, -2, -1, 0, 548 Sort 5, -2420, 0.1 in decreasing order. 5, 0.1, -2420 Put -3, -1/4, 8976 in descending order. 8976, -1/4, -3 So
{ "pile_set_name": "DM Mathematics" }
ound -18.4456781 to one dp. -18.4 Round 1.477183483 to 4 decimal places. 1.4772 What is 0.118799349 rounded to three dps? 0.119 What is 11764.474497 rounded to 0 dps? 11764 Round 0.0004918330467 to 6 decimal places. 0.000492 What is 0.000277448213 rounded to 5 decimal places? 0.00028 What is -0.000072346664 rounded to seven decimal places? -0.0000723 What is 0.317483451 rounded to 2 decimal places? 0.32 What is -37.86632396 rounded to three dps? -37.866 What is -738800625 rounded to the nearest ten thousand? -738800000 Round -338165.0774 to the nearest one thousand. -338000 Round 401363.84 to the nearest 100. 401400 What is -13692052.44 rounded to the nearest one thousand? -13692000 Round -40643.873 to the nearest one thousand. -41000 Round 0.90357342 to three decimal places. 0.904 Round -0.024800613 to three dps. -0.025 Round -68740.2623 to the nearest 100. -68700 Round -0.000003132542932 to 7 dps. -0.0000031 Round 0.0000753995524 to five dps. 0.00008 Round 82831337.3 to the nearest 100000. 82800000 Round -12.52399085 to one dp. -12.5 What is -3099166.65 rounded to the nearest 100? -3099200 Round 1740.991586 to the nearest 10. 1740 Round -24841346860 to the nearest 100000. -24841300000 What is 2922.355843 rounded to the nearest ten? 2920 What is -0.0000738551317 rounded to 6 decimal places? -0.000074 Round -7302642.2 to the nearest one million. -7000000 What is 146.473848 rounded to the nearest integer? 146 What is -13286.9511 rounded to the nearest 1000? -13000 What is 0.105571821 rounded to one decimal place? 0.1 What is -0.142157806 rounded to one decimal place? -0.1 What is 1147.740235 rounded to the nearest ten? 1150 Round -2427.31315 to the nearest ten. -2430 Round 8451761.97 to the nearest one million. 8000000 Round 79708.04041 to the nearest 10000. 80000 What is 0.0113432948 rounded to 2 decimal places? 0.01 What is -87062.045 rounded to the nearest 100? -87100 Round -2600375.831 to the nearest 10000. -2600000 What is 31.8781804 rounded to 3 dps? 31.878 Round -0.0052685455 to six decimal places. -0.005269 Round 0.000317034507 to 7 dps. 0.000317 What is -265.0654271 rounded to 2 dps? -265.07 What is 16281545.95 rounded to the nearest one hundred thousand? 16300000 What is -0.000003098326 rounded to 6 dps? -0.000003 What is 1206.49349 rounded to the nearest integer? 1206 Round -14361.864 to the nearest 10000. -10000 Round -0.0023342208 to four dps. -0.0023 What is 0.0000049670558 rounded to 7 decimal places? 0.000005 What is -0.0001794636344 rounded to five decimal places? -0.00018 Round 493260.425 to the nearest 100. 493300 Round 0.000487321775 to 7 decimal places. 0.0004873 Round 53448.35006 to the nearest integer. 53448 Round -0.00080357506 to 5 decimal places. -0.0008 What is 839107735.3 rounded to the nearest 100000? 839100000 Round -1682.8153 to 1 dp. -1682.8 What is -6009.89909 rounded to the nearest 10? -6010 Round -0.13840847 to 4 decimal places. -0.1384 Round 0.000362402462 to 4 decimal places. 0.0004 What is 0.000000472311005 rounded to seven dps? 0.0000005 Round 0.0000114963719 to six decimal places. 0.000011 Round -920953.88 to the nearest one hundred. -921000 What is -59.598144 rounded to zero dps? -60 What is -21266.503 rounded to the nearest 100? -21300 What is -4894.574 rounded to the nearest one hundred? -4900 Round -15.484801 to three decimal places. -15.485 What is 0.00000406036549 rounded to seven decimal places? 0.0000041 Round 0.000049271999 to five dps. 0.00005 What is -5.07197297 rounded to 1 decimal place? -5.1 What is -0.000027707135 rounded to 7 dps? -0.0000277 What is 0.000016977869 rounded to five dps? 0.00002 Round 1074.0091 to the nearest one thousand. 1000 What is -203662728.8 rounded to the nearest one million? -204000000 Round -0.000085963494 to 4 dps. -0.0001 Round -4774943.2 to the nearest 1000. -4775000 Round 0.00006618542072 to six dps. 0.000066 What is 178.9881077 rounded to zero dps? 179 What is 39.73189 rounded to 2 dps? 39.73 Round -20.38128454 to 3 decimal places. -20.381 Round -0.0000653146848 to six dps. -0.000065 Round -2340367.435 to the nearest 100000. -2300000 What is 259.8104828 rounded to the nearest 10? 260 What is -10.4352345 rounded to 1 dp? -10.4 What is -1233972.97 rounded to the nearest 100? -1234000 What is -0.006278283644 rounded to four dps? -0.0063 What is 0.000880017942 rounded to 7 dps? 0.00088 Round 656109.66 to the nearest 100000. 700000 What is 0.218926808 rounded to four dps? 0.2189 What is 102.232815 rounded to zero decimal places? 102 Round -394.5978398 to 2 dps. -394.6 Round -163533.51999 to the nearest 100. -163500 Round -0.0925088924 to 4 dps. -0.0925 Round 457.1914 to 1 dp. 457.2 What is 0.0728880636 rounded to 2 decimal places? 0.07 Round 0.170218658 to 4 dps. 0.1702 Round -0.0033062756 to 5 decimal places. -0.00331 Round 1716723.528 to the nearest 100. 1716700 What is -0.00000055954394 rounded to 7 decimal places? -0.0000006 What is 0.00000091147682 rounded to seven decimal places? 0.0000009 What is -8.82338461 rounded to 4 dps? -8.8234 What is 15793.3568 rounded to the nearest ten? 15790 Round 66.77619 to two dps. 66.78 What is -0.0380219207 rounded to 3 decimal places? -0.038 What is 0.88473374 rounded to two decimal places? 0.88 What is 6.89598818 rounded to three dps? 6.896 What is 0.0038459936 rounded to five decimal places? 0.00385 Round 120.024759 to one decimal place. 120 Round 0.000210653581 to 5 decimal places. 0.00021 Round 0.000119242 to 7 dps. 0.0001192 Round 0.0000640561793 to 5 dps. 0.00006 What is 0.000004106391288 rounded to seven decimal places? 0.0000041 What is -38.31718 rounded to the nearest ten? -40 What is 0.00408158226 rounded to 3 decimal places? 0.004 What is 0.081991728 rounded to four decimal places? 0.082 Round -2242608.81 to the nearest 100. -2242600 Round 138591.123 to the nearest 10000. 140000 What is 14154.83171 rounded to the nearest 1000? 14000 What is -12392.4086 rounded to the nearest ten? -12390 What is 0.0000147269687 rounded to seven decimal places? 0.0000147 What is 1453312470 rounded to the nearest 1000000? 1453000000 What is 3.376280172 rounded to three decimal places? 3.376 Round 0.072895049 to 4 dps. 0.0729 What is 84637.3332 rounded to the nearest 10000? 80000 What is -0.6926889 rounded to four decimal places? -0.6927 Round 7.21262341 to 2 decimal places. 7.21 What is -15525.1761 rounded to the nearest one hundred? -15500 Round 24148.9867 to the nearest 1000. 24000 What is -0.00442416544 rounded to 4 dps? -0.0044 What is -219892274.3 rounded to the nearest one million? -220000000 What is 495650.5 rounded to the nearest one hundred thousand? 500000 What is -13.4035102 rounded to two decimal places? -13.4 Round 9762180.7 to the nearest one million. 10000000 What is 5713054220 rounded to the nearest 100000? 5713100000 What is 4419.1133 rounded to the nearest 10? 4420 What is 0.0352918262 rounded to 3 decimal places? 0.035 Round -84487877 to the nearest one hundred thousand. -84500000 Round -0.00035367447 to five decimal places. -0.00035 What is -37301280 rounded to the nearest one million? -37000000 What is 158.73143311 rounded to one decimal place? 158.7 What is 457097590 rounded to the nearest one hundred thousand? 457100000 What is -1.156656588 rounded to two dps? -1.16 Round -596109.2285 to the nearest one thousand. -596000 Round 3513.54262 to 1 decimal place. 3513.5 Round -259122959 to the nearest 1000000. -259000000 What is -207.27919 rounded to 1 decimal place? -207.3 Round -1235.27609 to the nearest ten. -1240 Round 3.261746 to zero decimal places. 3 What is -14.456683 rounded to zero dps? -14 What is -0.0011365536 rounded to 5 dps? -0.00114 Round 1544101272 to the nearest one million. 1544000000 What is 12052411300 rounded to the nearest 1000000? 12052000000 Round -86.3865223 to the nearest ten. -90 Round -33.7190603 to 1 decimal place. -33.7 Round 5502.0999 to the nearest 1000. 6000 Round -4539368.1 to the nearest 1000000. -5000000 What is -11033410.931 rounded to the nearest one million? -11000000 What is -53762.118 rounded to the nearest ten? -53760 What is 0.00001046182307 rounded to six decimal places? 0.00001 Round 0.00075169787 to six decimal places. 0.000752 What is 0.00000820726442 rounded to six
{ "pile_set_name": "DM Mathematics" }
e terms in -450*h**2 + 450*h**2 - 1518*h**3. -1518*h**3 Collect the terms in 0*j - 42 - 10*j + 8*j - 115. -2*j - 157 Collect the terms in -224763 - 8*d + 224763. -8*d Collect the terms in 45856 + 6*t**2 - 45856 - 32*t**2. -26*t**2 Collect the terms in -74020*c**3 + 36962*c**3 + 37020*c**3. -38*c**3 Collect the terms in 83*s**2 + 3*s - 43*s**2 - 3*s - 28*s**2. 12*s**2 Collect the terms in 76*z**3 - 73*z**3 + 3*z + 3*z - 18*z + 12*z. 3*z**3 Collect the terms in -396 + 77 - o**2 + 12 - 1064. -o**2 - 1371 Collect the terms in 7*p**2 - 502*p**2 + 215*p**2 - 235*p**2. -515*p**2 Collect the terms in -1014 + u + 38 + 395. u - 581 Collect the terms in -211702*f**2 + 4 + 211291*f**2 - 4. -411*f**2 Collect the terms in 26757725755*g - 26757725755*g + g**2. g**2 Collect the terms in 11*y**3 + 43*y - 43*y - y**3 + 6*y**3. 16*y**3 Collect the terms in 36*v - 26*v - 18*v + 28*v - 16*v. 4*v Collect the terms in -1427*c + 1427*c + 34*c**3 - 50*c**3. -16*c**3 Collect the terms in 102 + 17*k**3 - 31 - 35 - 11*k**2 - 37. 17*k**3 - 11*k**2 - 1 Collect the terms in -860*f**3 + 22*f**3 + 155*f**3 + 131*f - 131*f. -683*f**3 Collect the terms in 8*d**3 + d**3 - 4*d**3 - 4*d**3 - 2*d**3. -d**3 Collect the terms in -3 - 57*y**2 + 5 + 58*y**2. y**2 + 2 Collect the terms in 13*x**2 + 6*x**2 + 33*x**3 - 19*x**2 - 26*x**3. 7*x**3 Collect the terms in 4*f + 12*f + 2*f - 3*f. 15*f Collect the terms in -2382 + 2382 - 179*d**3. -179*d**3 Collect the terms in 9*i - i + 15*i + 8*i - 27*i. 4*i Collect the terms in 5*n**2 + 3054*n**3 - 3007*n**3 - 5*n**2. 47*n**3 Collect the terms in 1280*a - 2509*a + 1231*a. 2*a Collect the terms in -550*n + 5 - 3 + 4 - 6 + 2. -550*n + 2 Collect the terms in -5*t - t - 3*t + 9*t + 45*t**2. 45*t**2 Collect the terms in 22*b + 23*b - 9*b - 17*b - 7*b - 16*b. -4*b Collect the terms in 39 + 144*v**2 - 100*v**2 + 3*v - v - 11. 44*v**2 + 2*v + 28 Collect the terms in 87*n + 214*n + 235*n. 536*n Collect the terms in 8*j + 4 + 67*j + 27*j - 26. 102*j - 22 Collect the terms in 8*b**2 + 11*b**2 + 3 + 15*b - 1. 19*b**2 + 15*b + 2 Collect the terms in -9731*m**2 + 15850*m**2 + 3993*m**2 + 15429*m**2. 25541*m**2 Collect the terms in -147 + 38 + 44 - 3*s**2 + 76. -3*s**2 + 11 Collect the terms in -4*h**2 - 52332*h + 4*h**2 - h**3 + 52307*h. -h**3 - 25*h Collect the terms in -2527 + 3*w - 9*w + 2527 - 10*w. -16*w Collect the terms in 1408*n - 92*n - 210*n. 1106*n Collect the terms in 0*u - 4*u - 1 - 31 - 3. -4*u - 35 Collect the terms in -83 + 143 - 61 + 4*m**2. 4*m**2 - 1 Collect the terms in 4162*f - 550*f - 380*f + 3027*f. 6259*f Collect the terms in -2256*n - 2423 + 2423. -2256*n Collect the terms in 347*u**2 - 12*u**2 - 12*u**2 - 13*u**2 - 312*u**2. -2*u**2 Collect the terms in -931*v + 2744*v - 908*v - 904*v. v Collect the terms in 2*u - 6*u + 78*u**2 + 4*u. 78*u**2 Collect the terms in -2260*g**2 + g**3 + 1132*g**2 + 1128*g**2 - 5*g**3. -4*g**3 Collect the terms in 89*f**2 - 26*f + 14*f + 12*f. 89*f**2 Collect the terms in -3941*o**2 + 1988*o**2 + 1986*o**2. 33*o**2 Collect the terms in -34*j**3 + 10899 - 10899. -34*j**3 Collect the terms in 30198*j - 30198*j - 390*j**3. -390*j**3 Collect the terms in 3 - 3 + 45351*i. 45351*i Collect the terms in -10 + 21 - 6 + 861*x**3 - 15*x - 7. 861*x**3 - 15*x - 2 Collect the terms in 2*a + 8660 - a - 2884 - 2891 - 2885. a Collect the terms in 61*s**3 + 65*s**2 - 19*s**3 - 21*s**3 - 28*s**3. -7*s**3 + 65*s**2 Collect the terms in 37*i**3 - 36*i**3 - 29*i**3. -28*i**3 Collect the terms in 3685*v + 3718*v - 7387*v. 16*v Collect the terms in 0*l**3 - 6*l**3 + 9 + l**3 + 7*l**3. 2*l**3 + 9 Collect the terms in 554*c - 405*c - 306*c. -157*c Collect the terms in 6*m**2 - 1106 + 1106. 6*m**2 Collect the terms in -8*r + 281166*r**2 - 281170*r**2 + 6*r + 2*r. -4*r**2 Collect the terms in -1647*s - 7*s**3 - 4*s**2 + 4*s**2 - 2. -7*s**3 - 1647*s - 2 Collect the terms in -1268*s + 153 - 155 + 1247*s. -21*s - 2 Collect the terms in 20 + 20 + 14*l + 15 - 55. 14*l Collect the terms in -2*x**2 + 6*x + x - 18*x - 3*x**2 + 8*x. -5*x**2 - 3*x Collect the terms in 3*r**2 - 3*r**2 + 9*r**2 - 55 + 53. 9*r**2 - 2 Collect the terms in -173*j**3 + 40*j**3 + 30*j**3 + 12*j**3 + 35*j**3. -56*j**3 Collect the terms in 60*o**2 + 60*o**2 + 54*o**2 + 50*o**2 + 55*o**2 - 284*o**2. -5*o**2 Collect the terms in 17 - 158 - 24*t - 10*t. -34*t - 141 Collect the terms in 146*k**2 - 3*k - 229*k**2 + 218*k**2 + 3*k. 135*k**2 Collect the terms in 27*l**2 - 185 + 92 + 2*l**2 + 91. 29*l**2 - 2 Collect the terms in h**3 + 50776*h**2 + 0*h**3 - 50776*h**2. h**3 Collect the terms in 54 + y**3 + y**3 + 22 + y**3 - 87. 3*y**3 - 11 Collect the terms in -78*z**2 - 44*z + 502*z**2 + 85*z - 41*z. 424*z**2 Collect the terms in 27049*m**2 - 4 + 2 + 11259*m**2. 38308*m**2 - 2 Collect the terms in 2*f**3 - 8 + 19 - 3 - 8. 2*f**3 Collect the terms in -7751*c**2 - 5562*c**2 - 4000*c**2. -17313*c**2 Collect the terms in w - 7*w**2 + 0*w - w + w - 6091. -7*w**2 + w - 6091 Collect the terms in 13828*m - 8*m**3 + 3*m**3 - 9*m**3 - 13828*m. -14*m**3 Collect the terms in 1409219*o - 704586*o - 704630*o. 3*o Collect the terms in -3*i**2 + 56076*i - 56076*i. -3*i**2 Collect the terms in -12*q - 12*q + q + 34*q + 8*q. 19*q Collect the terms in 7809*j**3 - 3905*j**3 - 3905*j**3. -j**3 Collect the terms in 6340*y - 2127*y - 2121*y - 2110*y. -18*y Collect the terms in -16*u**2 + 5902 + 16*u**2 - 5902 + 7*u**3 - 9*u**3. -2*u**3 Collect the terms in 5658 - 18*u + 5659 - 16972 + 5655 + 4*u. -14*u Collect the terms in 71*a - 71*a + 11*a**3 + 571*a**2 - 571*a**2. 11*a**3 Collect the terms in 10*d**2 + 695*d**3 - 96*d**3 - 10*d**2. 599*d**3 Collect the terms in -7 - 26*k**2 - 6 - 23*k**2 + 48*k**2. -k**2 - 13 Collect the terms in k**2 + 57*k**3 + 208 - 208 + k**2 - 3*k**2. 57*k**3 - k**2 Collect the terms in 32 - 2*b - 41 - 152 + 0*b. -2*b - 161 Collect the terms in 116*g - 116*g + 390*g**2. 390*g**2 Collect the terms in -467*n**2 + 3*n + 41*n**2 - 3*n. -426*n**2 Collect the terms in -198*t**2 - 222*t**2 + 96*t**2. -324*t**2 Collect the terms in 16245*j**3 - 8132*j**3 + 0 - 8158*j**3 + 0. -45*j**3 Collect the terms in -4627 + 4627 + 387*h**2. 387*h**2 Collect the terms in -411 + 339 - 577 - 7*b**2 + 9*b**2. 2*b**2 - 649 Collect the terms in -1100*y - 1113*y - 2*y**2 + 3307*y - 1094*y. -2*y**2 Collect the terms in -132*d**3 - 21*d**3 + 390*d**2 - 390*d**2 + 1 - 2. -153*d**3 - 1 Collect the terms in 139*z**2 - 57872*z + 57872*z. 139*z**2 Collect the terms in -112*r + 1183*r - 1105*r. -34*r Collect the terms in 8*c - 4 + 7 + 2. 8*c + 5 Collect the terms in -77 + 120 - 19 - 24 - 8*u**2. -8*u**2 Collect the terms in 19942 - 31*z**3 - 19942 + z**2. -31*z**3 + z**2 Collect the terms in 44 - 8167*n - 45 + 7908*n. -259*n - 1 Collect the terms in -13*f**3 - 6054237 + 6054237. -13*f**3 Collect the terms in -645*u - 1608 + 1608. -645*u Collect the terms in 910*c**2 + 0 - 1791*c**2 + 0. -881*c**2 Collect the terms in -14 - 27 + 56 + 6*x**3. 6*x**3 + 15 Collect the terms in 71 - 42 - 29 + 512*q. 512*q Collect the terms in -27*c**2 + 2*c - 3 + 4 - 4 - 11*c**2. -38*c**2 + 2*c - 3 Collect the terms in 20*t**3 + 84*t**3 - 6*t**3 - 1 + 0*t**2 + 3*t**2. 98*t**3 + 3*t**2 - 1 Collect the terms in -1716*d**2 + 3453*d**2 - 1755*d**2. -18*d**2 Collect the terms in -4*j + 2*j - 72 + 136 + 70 + 8. -2*j + 142 Collect the terms in -9*g - 200*g**2 + 96*g**2 - 9 + 97*g**2. -7*g**2 - 9*g - 9 Collect the terms in -10*w - 17*w + w + 34*w + w. 9*w Collect the terms in 151*t**3 - 309*t**3 - 334*t**3 - 3*t**2 + t**2. -492*t**3 - 2*t**2 Collect the terms in 4 + 2*j**2 - 4 - 1122*j**3 - 3 + 1. -1122*j**3 + 2*j**2 - 2 Collect the terms in 4*i**3 - 15*i**3 + 9960*i**2 - 9960*i**2. -11*i**3 Collect the terms in w - 141 + 4*w + 34 - w - 3*w. w - 107 Collect the terms in 192*f**2 - 37*f + 70*f - 9*f**2 - 33*f. 183*f**2 Collect the terms in 68*g**3 + 58*g**3 - 208*g**3 + 69*g**3. -13*g**3 Collect the terms in -1028*v**3 + v + v**2 - 5*v**2 + 3531*v**3 + 2*v**2. 2503*v**3 - 2*v**2 + v Collect the terms in -359*t - 53 + 110*t + 53 - 600*t. -849*t Collect the terms in 32*a**3 + 45*a**3 - 180*a**3 + 34*a**3 + 33*a**3 + 35*a**3. -a**3 Collect the terms in -152*v - 10*v**2 + 4*v + 148*v. -10*v**2 Collect the terms in 3 - 1 - 29*h**3 + 57
{ "pile_set_name": "DM Mathematics" }
Round 1773000 to the nearest 10000. 1770000 Round 1474700 to the nearest 10000. 1470000 What is -14.07 rounded to the nearest integer? -14 What is -1.2217 rounded to two decimal places? -1.22 What is 789000 rounded to the nearest ten thousand? 790000 What is 0.6286 rounded to 1 decimal place? 0.6 What is -0.00031281 rounded to 5 decimal places? -0.00031 Round -119347 to the nearest one hundred. -119300 Round -0.00000651 to 5 dps. -0.00001 Round -3.1371 to 1 decimal place. -3.1 Round -0.00010348 to six decimal places. -0.000103 Round -1898.52 to the nearest 10. -1900 Round -11.9169 to the nearest integer. -12 What is 3.011 rounded to two dps? 3.01 Round -664 to the nearest one hundred. -700 What is -0.00034031 rounded to 6 dps? -0.00034 Round -55.5 to the nearest ten. -60 What is 0.023014 rounded to three dps? 0.023 What is -0.000012146 rounded to five decimal places? -0.00001 What is 213.5 rounded to zero decimal places? 214 What is -0.008622 rounded to 3 decimal places? -0.009 What is 0.000004025 rounded to six dps? 0.000004 Round 69710000 to the nearest one million. 70000000 Round -1042.5 to the nearest 10. -1040 Round 300440 to the nearest 1000. 300000 What is -735.41 rounded to the nearest ten? -740 What is -1.7 rounded to the nearest ten? 0 Round 46300 to the nearest 1000. 46000 What is 0.00544 rounded to 3 dps? 0.005 What is -19.952 rounded to one dp? -20 Round -763000 to the nearest 100000. -800000 Round 1258.6 to the nearest 100. 1300 Round 942500 to the nearest one million. 1000000 What is -242.1 rounded to the nearest integer? -242 Round -2808000 to the nearest 1000000. -3000000 What is 35.1 rounded to the nearest 10? 40 Round 0.00002475 to 6 decimal places. 0.000025 What is -0.0000000459 rounded to 7 decimal places? 0 Round -70100000 to the nearest 1000000. -70000000 Round 0.00008913 to five dps. 0.00009 What is 57900 rounded to the nearest ten thousand? 60000 Round 21160 to the nearest 10000. 20000 What is 85992000 rounded to the nearest 1000000? 86000000 What is 21.0265 rounded to the nearest integer? 21 Round -0.00009897 to 6 decimal places. -0.000099 What is -0.000032235 rounded to six dps? -0.000032 What is -1 rounded to the nearest integer? -1 Round -51.83 to the nearest 10. -50 What is -45581 rounded to the nearest one thousand? -46000 What is -0.0000007825 rounded to six dps? -0.000001 Round -0.000017331 to 7 decimal places. -0.0000173 What is 67715000 rounded to the nearest 1000000? 68000000 Round 0.0004436 to 5 dps. 0.00044 What is 0.00026351 rounded to 5 decimal places? 0.00026 What is -772.62 rounded to the nearest 100? -800 What is 771.74 rounded to the nearest 10? 770 Round -0.0003527 to five dps. -0.00035 Round -1351800 to the nearest one hundred thousand. -1400000 What is 13120.2 rounded to the nearest 100? 13100 What is -0.00911 rounded to 2 decimal places? -0.01 What is 0.20547 rounded to three dps? 0.205 Round 0.0000167 to six decimal places. 0.000017 Round -6.38 to the nearest ten. -10 Round -0.00226059 to five dps. -0.00226 Round 0.00103 to four decimal places. 0.001 What is 0.000023163 rounded to 5 decimal places? 0.00002 Round -138.363 to one dp. -138.4 What is -15340000 rounded to the nearest 1000000? -15000000 Round -20.46 to one dp. -20.5 What is -5.1041 rounded to one dp? -5.1 What is -1343 rounded to the nearest one hundred? -1300 What is 2553 rounded to the nearest 100? 2600 What is 0.000129644 rounded to 6 decimal places? 0.00013 What is -22694 rounded to the nearest 100? -22700 What is 0.000055464 rounded to six decimal places? 0.000055 What is -673.09 rounded to the nearest 10? -670 Round -4.286 to one decimal place. -4.3 What is -18650 rounded to the nearest 1000? -19000 Round 123900 to the nearest one thousand. 124000 What is -7581000 rounded to the nearest one million? -8000000 Round 5.6299 to 1 dp. 5.6 What is -0.003003 rounded to 3 decimal places? -0.003 Round -4.9817 to one decimal place. -5 What is -1.6798 rounded to 2 dps? -1.68 What is -1.06 rounded to the nearest ten? 0 What is -192.7 rounded to the nearest integer? -193 What is -532390 rounded to the nearest 100000? -500000 What is -60.61 rounded to the nearest integer? -61 Round -0.000007437 to six decimal places. -0.000007 Round 0.00004548 to seven dps. 0.0000455 Round -0.0008284 to four dps. -0.0008 What is -8202 rounded to the nearest 1000? -8000 What is 46.21 rounded to the nearest ten? 50 Round 15520 to the nearest one thousand. 16000 Round -0.16242 to two dps. -0.16 Round 14297000 to the nearest 1000000. 14000000 What is 0.00149895 rounded to five dps? 0.0015 What is -21.138 rounded to one decimal place? -21.1 What is -0.00029449 rounded to 4 dps? -0.0003 What is -0.4836 rounded to two decimal places? -0.48 Round -0.000137047 to seven decimal places. -0.000137 Round 0.4065 to 1 dp. 0.4 Round 2505000 to the nearest one hundred thousand. 2500000 Round -1307.2 to the nearest 100. -1300 Round -10800000 to the nearest 1000000. -11000000 Round 465 to the nearest 10. 470 What is 0.005426 rounded to 3 decimal places? 0.005 Round 7235.2 to the nearest 1000. 7000 Round 0.022408 to 4 decimal places. 0.0224 Round 1651970 to the nearest one hundred thousand. 1700000 Round 0.0000007376 to 7 decimal places. 0.0000007 What is 0.0000984 rounded to 5 decimal places? 0.0001 Round 236700 to the nearest 10000. 240000 Round -812.1 to the nearest 10. -810 What is 4456000 rounded to the nearest 1000000? 4000000 What is -0.0012994 rounded to four decimal places? -0.0013 What is -445.4 rounded to the nearest 10? -450 What is -14600000 rounded to the nearest one million? -15000000 Round 113.724 to one decimal place. 113.7 Round 0.00003341 to six dps. 0.000033 What is 0.0014712 rounded to 5 decimal places? 0.00147 Round -3696 to the nearest 100. -3700 What is -10.479 rounded to the nearest integer? -10 Round -9330000 to the nearest one hundred thousand. -9300000 What is -3965900 rounded to the nearest one hundred thousand? -4000000 What is -0.00009511 rounded to 6 dps? -0.000095 What is 0.0000598 rounded to 5 decimal places? 0.00006 What is 24870000 rounded to the nearest 1000000? 25000000 Round -70.55 to the nearest integer. -71 Round 116731000 to the nearest one million. 117000000 What is 0.1969 rounded to 2 decimal places? 0.2 What is -0.0001607 rounded to 5 decimal places? -0.00016 Round 0.0000003275 to seven decimal places. 0.0000003 What is 8967800 rounded to the nearest 100000? 9000000 What is -7.23 rounded to one dp? -7.2 What is -2802.6 rounded to the nearest ten? -2800 What is -11.476 rounded to the nearest integer? -11 Round -138420000 to the nearest 1000000. -138000000 Round 10397 to the nearest one thousand. 10000 Round -0.00001904 to 6 dps. -0.000019 Round 0.01205 to 3 dps. 0.012 What is -0.0187 rounded to three decimal places? -0.019 What is -0.00000469 rounded to six dps? -0.000005 Round -61.51 to zero dps. -62 What is 0.000192464 rounded to five dps? 0.00019 Round -0.00004161 to six dps. -0.000042 Round -48.528 to zero dps. -49 Round 51700 to the nearest 1000. 52000 What is -11.7 rounded to the nearest 100? 0 Round -0.0000025 to six decimal places. -0.000003 What is 667.14 rounded to zero decimal places? 667 Round 32040 to the nearest 10000. 30000 What is 0.031459 rounded to 3 dps? 0.031 What is 7731 rounded to the nearest 1000? 8000 Round -42780000 to the nearest one million. -43000000 Round -0.3796 to two decimal places. -0.38 Round 0.00000183463 to seven dps. 0.0000018 What is -0.0015038 rounded to 5 dps? -0.0015 What is -0.18931 rounded to two decimal places? -0.19 What is 46.76 rounded to the nearest 10? 50 Round 175600 to the nearest ten thousand. 180000 What is 694450 rounded to the nearest one thousand? 694000 Round -0.000054474 to 6 dps. -0.000054 Round -31801 to the nearest one thousand. -32000 Round 0.000040522 to 6 dps. 0.000041 What is 0.006432 rounded to three dps? 0.006 What is 0.002941 rounded to 4 dps? 0.0029 What is 0.00087756 rounded to 5 dps? 0.00088 Round -409 to the nearest one hundred. -400 What is 373.66 rounded to the nearest integer? 374 What is 171950000 rounded to the nearest one million? 172000000 Round 34376 to the nearest 10000. 30000 Round 65 to the nearest ten. 70 What is -7.0034 rounded to one dp? -7 Round
{ "pile_set_name": "DM Mathematics" }
to the power of 1/2, to the nearest integer? 631 What is 80343 to the power of 1/2, to the nearest integer? 283 What is the square root of 11089540 to the nearest integer? 3330 What is the third root of 28460722 to the nearest integer? 305 What is the ninth root of 1545714 to the nearest integer? 5 What is the cube root of 13810462 to the nearest integer? 240 What is the third root of 20543011 to the nearest integer? 274 What is the fourth root of 349542 to the nearest integer? 24 What is 41676405 to the power of 1/5, to the nearest integer? 33 What is 364920 to the power of 1/5, to the nearest integer? 13 What is 448344 to the power of 1/9, to the nearest integer? 4 What is the square root of 640131 to the nearest integer? 800 What is the sixth root of 369890 to the nearest integer? 8 What is the cube root of 1280242 to the nearest integer? 109 What is the ninth root of 3563986 to the nearest integer? 5 What is the third root of 243051 to the nearest integer? 62 What is the tenth root of 658986 to the nearest integer? 4 What is 2024154 to the power of 1/3, to the nearest integer? 126 What is 769360 to the power of 1/10, to the nearest integer? 4 What is 41112 to the power of 1/2, to the nearest integer? 203 What is 5444901 to the power of 1/2, to the nearest integer? 2333 What is 4808755 to the power of 1/2, to the nearest integer? 2193 What is 359122 to the power of 1/3, to the nearest integer? 71 What is 883200 to the power of 1/2, to the nearest integer? 940 What is the ninth root of 341060 to the nearest integer? 4 What is the eighth root of 425157 to the nearest integer? 5 What is 1282084 to the power of 1/2, to the nearest integer? 1132 What is 62337 to the power of 1/2, to the nearest integer? 250 What is the sixth root of 278862 to the nearest integer? 8 What is 899694 to the power of 1/2, to the nearest integer? 949 What is 21133559 to the power of 1/8, to the nearest integer? 8 What is 40371012 to the power of 1/3, to the nearest integer? 343 What is the third root of 1734527 to the nearest integer? 120 What is 122292 to the power of 1/2, to the nearest integer? 350 What is 53584 to the power of 1/9, to the nearest integer? 3 What is 2932871 to the power of 1/2, to the nearest integer? 1713 What is 1689413 to the power of 1/6, to the nearest integer? 11 What is the sixth root of 5512443 to the nearest integer? 13 What is 1178102 to the power of 1/7, to the nearest integer? 7 What is the square root of 1652201 to the nearest integer? 1285 What is the sixth root of 492884 to the nearest integer? 9 What is the fourth root of 5458363 to the nearest integer? 48 What is 20226211 to the power of 1/2, to the nearest integer? 4497 What is the square root of 235241 to the nearest integer? 485 What is the fifth root of 398773 to the nearest integer? 13 What is 7720580 to the power of 1/3, to the nearest integer? 198 What is 608530 to the power of 1/2, to the nearest integer? 780 What is 927380 to the power of 1/5, to the nearest integer? 16 What is the eighth root of 5174798 to the nearest integer? 7 What is the ninth root of 24920999 to the nearest integer? 7 What is 2781308 to the power of 1/5, to the nearest integer? 19 What is 1563172 to the power of 1/2, to the nearest integer? 1250 What is the cube root of 299923 to the nearest integer? 67 What is the cube root of 475838 to the nearest integer? 78 What is 1716331 to the power of 1/7, to the nearest integer? 8 What is 366221 to the power of 1/5, to the nearest integer? 13 What is 10357452 to the power of 1/7, to the nearest integer? 10 What is the tenth root of 5839190 to the nearest integer? 5 What is 11833 to the power of 1/2, to the nearest integer? 109 What is 709938 to the power of 1/4, to the nearest integer? 29 What is 805494 to the power of 1/3, to the nearest integer? 93 What is the square root of 783156 to the nearest integer? 885 What is 109583 to the power of 1/5, to the nearest integer? 10 What is 215183 to the power of 1/5, to the nearest integer? 12 What is the square root of 34880 to the nearest integer? 187 What is 765918 to the power of 1/2, to the nearest integer? 875 What is the seventh root of 1339060 to the nearest integer? 8 What is 1248848 to the power of 1/3, to the nearest integer? 108 What is the cube root of 89731 to the nearest integer? 45 What is the square root of 379719 to the nearest integer? 616 What is the square root of 5323849 to the nearest integer? 2307 What is 1681584 to the power of 1/8, to the nearest integer? 6 What is 1396256 to the power of 1/2, to the nearest integer? 1182 What is the square root of 121738 to the nearest integer? 349 What is 1435224 to the power of 1/9, to the nearest integer? 5 What is 651506 to the power of 1/10, to the nearest integer? 4 What is the ninth root of 21451440 to the nearest integer? 7 What is the square root of 5118921 to the nearest integer? 2263 What is 513259 to the power of 1/3, to the nearest integer? 80 What is the ninth root of 182185 to the nearest integer? 4 What is 6470 to the power of 1/2, to the nearest integer? 80 What is the eighth root of 1764005 to the nearest integer? 6 What is 1321817 to the power of 1/7, to the nearest integer? 7 What is 967742 to the power of 1/3, to the nearest integer? 99 What is the square root of 4241596 to the nearest integer? 2060 What is the square root of 449534 to the nearest integer? 670 What is 26639 to the power of 1/6, to the nearest integer? 5 What is 587284 to the power of 1/2, to the nearest integer? 766 What is the square root of 15152355 to the nearest integer? 3893 What is 93633 to the power of 1/2, to the nearest integer? 306 What is 1750937 to the power of 1/4, to the nearest integer? 36 What is the cube root of 232421 to the nearest integer? 61 What is the cube root of 4538917 to the nearest integer? 166 What is the square root of 23553194 to the nearest integer? 4853 What is 231410 to the power of 1/2, to the nearest integer? 481 What is 10912285 to the power of 1/3, to the nearest integer? 222 What is 2388301 to the power of 1/3, to the nearest integer? 134 What is the ninth root of 86434 to the nearest integer? 4 What is the square root of 143602 to the nearest integer? 379 What is 333623 to the power of 1/3, to the nearest integer? 69 What is the third root of 438529 to the nearest integer? 76 What is the fifth root of 880293 to the nearest integer? 15 What is the square root of 4101222 to the nearest integer? 2025 What is 8876991 to the power of 1/6, to the nearest integer? 14 What is the eighth root of 16668 to the nearest integer? 3 What is the square root of 7732951 to the nearest integer? 2781 What is 2165832 to the power of 1/2, to the nearest integer? 1472 What is the third root of 414555 to the nearest integer? 75 What is the cube root of 110326 to the nearest integer? 48 What is 14813081 to the power of 1/2, to the nearest integer? 3849 What is 2000716 to the power of 1/2, to the nearest integer? 1414 What is the third root of 8131255 to the nearest integer? 201 What is the ninth root of 1956837 to the nearest integer? 5 What is the cube root of 1905182 to the nearest integer? 124 What is 281531 to the power of 1/8, to the nearest integer? 5 What is the cube root of 3899662 to the nearest integer? 157 What is 966315 to the power of 1/9, to the nearest integer? 5 What is the ninth root of 1282284 to the nearest integer? 5 What is 1130829 to the power of 1/2, to the nearest integer? 1063 What is 1223011 to the power of 1/2, to the nearest integer? 1106 What is the fifth root of 8907840 to the nearest integer? 25 What is 596628 to the power of 1/2, to the nearest integer? 772 What is the square root of 5411040 to the nearest integer? 2326 What is the square root of 3880964 to the nearest integer? 1970 What is 679617 to the power of 1/2, to the nearest integer? 824 What is the third root of 5305631 to the nearest integer? 174 What is the ninth root of 1235497 to the nearest integer? 5 What is the fourth root of 103009 to the nearest integer? 18 What is the third root of 2604828 to the nearest integer? 138 What is the square root of 5858454 to the nearest integer? 2420 What is 11191629 to the power of 1/3, to the nearest integer? 224 What
{ "pile_set_name": "DM Mathematics" }
t is -2042040423 (base 5) in base 12? -1511005 -1a7a9 (base 11) to base 8 -70365 -12533543 (base 6) to base 15 -837b6 301232020 (base 5) to base 2 100100011111101101101 Convert -1baa91 (base 13) to base 11. -444956 What is -10111102020012 (base 3) in base 12? -757558 Convert -b9ba (base 13) to base 12. -12b55 What is -76691 (base 13) in base 12? -a3b95 What is 10010110010111110010 (base 2) in base 9? 1137787 11110110111000000110 (base 2) to base 12 409232 -662a9 (base 11) to base 7 -550306 Convert -163633 (base 8) to base 6. -1134255 What is -1767561 (base 8) in base 14? -d7745 What is 8a977 (base 12) in base 8? 550353 2560c7 (base 13) to base 2 11011011011010110000 Convert 5c4996 (base 16) to base 5. 3022020100 What is -120021022220 (base 3) in base 4? -1021120230 5934 (base 14) to base 15 4905 Convert -7033014 (base 8) to base 12. -751b24 Convert 49e470 (base 15) to base 11. 1aa9767 -4b56a3 (base 13) to base 11 -1027a96 What is -30332303 (base 6) in base 15? -1220cc -77b529 (base 14) to base 4 -33200121301 45321134 (base 6) to base 15 1c39cd What is -9132 (base 16) in base 3? -1212222200 -3921623 (base 13) to base 16 -110dd3a Convert -101002122210 (base 3) to base 7. -1455333 Convert -407535 (base 9) to base 8. -730110 9bbaa (base 12) to base 6 4235534 What is 10101100000010110101000 (base 2) in base 16? 5605a8 dca0 (base 16) to base 8 156240 What is 10021012 (base 3) in base 10? 2381 a49bc1 (base 13) to base 2 1110101011101100000011 Convert -161933 (base 12) to base 13. -102390 Convert -10111001100001001 (base 2) to base 13. -34307 Convert 13496 (base 14) to base 13. 1885a What is e9aba7 (base 15) in base 13? 23c5c12 -156257 (base 9) to base 13 -34b88 -23241343 (base 5) to base 3 -101202221111 82377 (base 12) to base 14 45c95 Convert 40114003 (base 5) to base 8. 1152521 Convert 2522307 (base 8) to base 5. 134310133 What is 20401433 (base 5) in base 13? 5bbc6 -281559 (base 14) to base 7 -14534042 What is 87382 (base 14) in base 2? 1001111111001000110 What is 3873589 (base 11) in base 8? 31462001 Convert -3790636 (base 10) to base 9. -7116687 What is -168a434 (base 12) in base 2? -10001110010010111101000 What is 131111302 (base 4) in base 12? 5966a 100001121 (base 4) to base 13 23b41 -315400221 (base 6) to base 13 -1206400 -27340621 (base 8) to base 13 -1371953 What is -300301023 (base 4) in base 12? -97723 What is 8a826c (base 13) in base 14? 6131c2 Convert -232604 (base 8) to base 10. -79236 a0488 (base 12) to base 13 73901 Convert -378346 (base 9) to base 12. -b0773 What is 211303222 (base 6) in base 16? 389bbe What is 2a272c (base 13) in base 7? 11534012 33430504 (base 7) to base 4 23003211100 -31596 (base 13) to base 4 -111230100 Convert 493337 (base 11) to base 2. 10111110100001010001 What is 11101100110111100100 (base 2) in base 11? 602a31 What is -110101010000110111111 (base 2) in base 12? -702053 Convert 10022201110202 (base 3) to base 8. 6571136 Convert 4344013001 (base 5) to base 12. 3174a74 Convert -104046620 (base 8) to base 15. -18778ed Convert 130205325 (base 6) to base 9. 4684878 Convert 387625 (base 11) to base 2. 10010101000000101111 552542 (base 7) to base 9 157048 What is -635460 (base 7) in base 13? -3b0b5 12100010201121 (base 3) to base 14 53bcba 5404041 (base 6) to base 12 109621 Convert -111044 (base 8) to base 3. -1220022122 2a7aba (base 12) to base 15 e2e37 Convert -697b97 (base 16) to base 13. -15806b0 721403 (base 8) to base 3 110002221101 What is c6927 (base 15) in base 14? 125748 887179 (base 13) to base 2 1100010000110010010000 81511 (base 16) to base 13 157129 121113330122 (base 4) to base 16 657f1a What is -625202 (base 10) in base 7? -5212514 What is 10365323 (base 7) in base 6? 31025305 Convert 2125a7a (base 11) to base 16. 3916df What is -144104232 (base 5) in base 15? -102e2c -49ca5 (base 13) to base 7 -1105012 What is 10000101111100001000 (base 2) in base 3? 1000212120010 25424702 (base 8) to base 9 11555836 Convert -2231020013 (base 4) to base 2. -10101101001000000111 What is -28620a (base 16) in base 8? -12061012 Convert -3c82ba (base 13) to base 16. -168076 What is -73709 (base 13) in base 9? -345828 Convert b7e1d (base 16) to base 2. 10110111111000011101 -214335322 (base 7) to base 11 -72aa40a What is 525134042 (base 6) in base 10? 9203786 What is -162320 (base 9) in base 4? -120130212 50111315 (base 7) to base 9 7705428 Convert -3286451 (base 10) to base 9. -6158142 Convert -101010111110110 (base 2) to base 6. -245514 2991044 (base 10) to base 11 1763241 2631413 (base 9) to base 15 1d60b9 -2444325 (base 8) to base 7 -5505013 -311114546 (base 7) to base 14 -25d3326 -3a07b2 (base 12) to base 3 -1210112000022 Convert -198360 (base 15) to base 11. -779787 What is 15407571 (base 8) in base 10? 3542905 What is 935a2 (base 15) in base 4? 1302001103 What is 4827a40 (base 11) in base 5? 4123231010 Convert -1424287 (base 9) to base 12. -3197a4 -11010111001101010101 (base 2) to base 13 -24b2c2 1021303233 (base 4) to base 12 126b53 What is 34345521 (base 6) in base 13? 2ac9a6 Convert 1413424120 (base 5) to base 16. 37c4fe 786c6 (base 13) to base 9 362866 What is -334203 (base 9) in base 15? -3e376 What is 202b708 (base 12) in base 13? 13332c8 1170747 (base 11) to base 8 7610435 Convert -3aa379a (base 11) to base 16. -6bfac8 -2101211202 (base 3) to base 9 -71752 What is 3111a (base 12) in base 6? 1212434 What is 43244354 (base 6) in base 12? 5196ba Convert 11110001011000111 (base 2) to base 7. 1023216 Convert 3461001 (base 7) to base 15. 88d00 -3546 (base 15) to base 2 -10110000110100 Convert -12242212 (base 5) to base 11. -80a86 What is 4468217 (base 9) in base 3? 11112022020121 -23580 (base 10) to base 8 -56034 2210201202222 (base 3) to base 16 16bed2 What is -545263 (base 10) in base 2? -10000101000111101111 Convert 11334322 (base 8) to base 11. 14393a6 What is -1063158 (base 9) in base 7? -4604633 -61141067 (base 8) to base 10 -12894775 Convert 143001443 (base 5) to base 6. 24025212 -20301311320 (base 4) to base 14 -43c94c What is 26813b (base 12) in base 15? c8715 What is 213221030211 (base 4) in base 13? 21cb331 What is -120b5 (base 12) in base 9? -36332 Convert 1347b (base 14) to base 16. b9b5 What is -586a (base 16) in base 8? -54152 What is -280066 (base 9) in base 12? -82906 What is 257522 (base 8) in base 5? 10334223 -13254350 (base 6) to base 16 -6c23a What is d2e0b (base 15) in base 14? 13564c Convert -22120021 (base 5) to base 16. -2ed8e What is 1522045 (base 8) in base 13? 12314a What is 110011100010010001011101 (base 2) in base 11? 7698069 What is 3550334 (base 8) in base 4? 3231003130 Convert 1210021201 (base 3) to base 12. 18454 -10542015 (base 6) to base 3 -121111001102 -115355303 (base 6) to base 11 -1289885 Convert -256fb (base 16) to base 12. -748a3 Convert 5097259 (base 10) to base 6. 301130231 Convert -2328b1 (base 12) to base 14. -109a97 What is -1101602 (base 7) in base 5? -13310340 218c92 (base 13) to base 3 1111011212111 201266 (base 7) to base 8 102467 4345 (base 9) to base 4 302000 Convert 3b7631 (base 12) to base 14. 1b9ca1 Convert 5f19c4 (base 16) to base 4. 113301213010 -3201202123 (base 4) to base 10 -923803 49849 (base 13) to base 6 2522554 What is -79180 (base 10) in base 14? -20bda What is 134001441 (base 5) in base 16? a7e82 96614 (base 14) to base 4 1120232022 Convert -111111101101 (base 2) to base 4. -333231 f8529 (base 16) to base 12 410749 332620 (base 11) to base 9 887618 What is -23d2 (base 16) in base 13? -4235 Convert 101010100101001111 (base 2) to base 10. 174415 -12a3e1 (base 15) to base 6 -31104421 -323110130 (base 5) to base 2 -101010000100111100110 -47173 (base 9) to base 11 -21731 What is -1102432120 (base 5) in base 9? -4441887 What is 50a (base 12) in base 4? 23122 What is 21220222102 (base 3) in base 4? 212011112 Convert -1001100112102022 (base 3) to base 10. -15068006 What is -128d09 (base 14) in base 10? -639165 Convert -11111111110001111110110 (base 2) to base 12. -2982446 Convert -4403884 (base 10) to base 11. -2538781 What is 255762 (base 12) in base 15? c10cb What is 8b3ce (base 15) in base 2? 1101100001001110010 Convert 11240135 (base 6) to base 3. 122122112012 Convert 525554 (base 12) to base 8. 4741320 Convert 9de493 (base 15) to base 6. 4253430
{ "pile_set_name": "DM Mathematics" }
21 - 6*l + 21. -6*l Collect the terms in 2*o**2 - 4*o - 3*o - 11*o**2 + 7*o. -9*o**2 Collect the terms in 10*t + 0*t + 16*t - 32*t + 5*t. -t Collect the terms in 20*h - 43*h + 21*h. -2*h Collect the terms in -12*u + 12*u + 17*u**3 - 11*u**3. 6*u**3 Collect the terms in -133*z**3 - 4*z**2 + 136*z**3 + 4*z**2. 3*z**3 Collect the terms in -3*p**3 + 2 - 16*p**3 - 2. -19*p**3 Collect the terms in -29*u - u**2 + 51*u - 22*u. -u**2 Collect the terms in 7*o**3 - 4*o**3 - 15*o**3 + 8*o**3. -4*o**3 Collect the terms in -18 - 9 + 13*x + 27. 13*x Collect the terms in -2*j**3 + 0 + 10*j + 2 + 2. -2*j**3 + 10*j + 4 Collect the terms in -3 - 12*q + 6*q - 13*q. -19*q - 3 Collect the terms in 8*v**3 + 12*v**3 - 19*v**3. v**3 Collect the terms in -157*q**2 + 86*q**2 + 68*q**2. -3*q**2 Collect the terms in -140975*q + 281952*q - 140976*q. q Collect the terms in -59 + 59 + 24*d. 24*d Collect the terms in 16*j**3 + 15*j**3 - 10*j**3 + 6*j**3. 27*j**3 Collect the terms in -5*f + 5 + 5*f - 9*f. -9*f + 5 Collect the terms in -37 + 37 + 66*z. 66*z Collect the terms in -21*m + 45*m - 25*m. -m Collect the terms in 2248 + 8*s**3 - 2248. 8*s**3 Collect the terms in -79*f + 2*f + 12*f. -65*f Collect the terms in -42*c + c**2 + 78*c + 5*c**2 - 36*c. 6*c**2 Collect the terms in -6 + 0 - 2*n + 2 + 5*n. 3*n - 4 Collect the terms in 10*b**2 - 10*b**2 + 114*b**3. 114*b**3 Collect the terms in 7*i + i - 4*i - 2*i. 2*i Collect the terms in -3*l**3 + l + l**3 - 6*l**3. -8*l**3 + l Collect the terms in -16 + n - n - 4 + 3*n. 3*n - 20 Collect the terms in k - 2*k - 105*k**2 + 0*k. -105*k**2 - k Collect the terms in -41*g - 39*g + 59*g. -21*g Collect the terms in 3 - 72*i - 97*i + 170*i - 3. i Collect the terms in 3*y - 5*y - 3*y + 3*y + 3*y. y Collect the terms in 20*c - 24*c - 32*c. -36*c Collect the terms in 978*g + 3 - 6 + 3. 978*g Collect the terms in -325*m**3 + 108*m**3 + 109*m**3 + 106*m**3. -2*m**3 Collect the terms in 0*x - 3*x + 2*x + 0*x. -x Collect the terms in 45*j**3 + 2*j**2 - 2*j**2 + 0*j**2. 45*j**3 Collect the terms in 1490*o - 2991*o + 1498*o. -3*o Collect the terms in -8088 - 8087 + 9*k + 16175. 9*k Collect the terms in -2 - 3 + 31*l**3 + 5. 31*l**3 Collect the terms in 52*w - 4*w**3 - 29*w - 23*w. -4*w**3 Collect the terms in 440 - 9*p**3 - 440. -9*p**3 Collect the terms in 39*j - 25*j - 8*j. 6*j Collect the terms in 3*j**2 - 26*j**2 + 4*j**2. -19*j**2 Collect the terms in -6*q**3 + 30*q**3 - 11*q**3 - 12*q**3. q**3 Collect the terms in -7*v**3 - 11 + 0*v**3 + 3*v**3. -4*v**3 - 11 Collect the terms in -552*j**2 + 2*j - 2*j + 554*j**2. 2*j**2 Collect the terms in 93*t - 4*t**2 + 2*t**2 - 93*t. -2*t**2 Collect the terms in 0*k + 3*k - 3*k + 8*k - 3*k. 5*k Collect the terms in 462 + 4*s**3 - 928 + 466. 4*s**3 Collect the terms in 94 + 62 - w + 164. -w + 320 Collect the terms in 0*u**2 + 0*u**2 - 52*u**3 - 10*u**3. -62*u**3 Collect the terms in 96*h**2 - 45*h**2 - 48*h**2. 3*h**2 Collect the terms in -2 + 325 - 8*f + 8*f - 2*f. -2*f + 323 Collect the terms in -3*i**3 + 3*i**3 - i**3 + 7*i. -i**3 + 7*i Collect the terms in -z + 3*z - z - 3*z + 4*z. 2*z Collect the terms in f**2 + 7*f**2 - 3*f**2 - 4*f**2. f**2 Collect the terms in -51*n - 63*n**2 + 51*n. -63*n**2 Collect the terms in -1 + 0 + 1 - 2415*a**3. -2415*a**3 Collect the terms in -87*n**3 + 5 + 81*n**3 - 4 - 1. -6*n**3 Collect the terms in 118*b**2 + b**3 - 118*b**2 - 9*b**3. -8*b**3 Collect the terms in 138*c + 140*c - 547*c + 132*c + 139*c. 2*c Collect the terms in -15*l**2 + 2*l**2 + 2*l**2 + 10*l**2 + 13*l**2. 12*l**2 Collect the terms in 159*w**3 + 35 + 36 - 71. 159*w**3 Collect the terms in -2*s**3 - 26*s**3 + 3*s**3 - 12*s**3. -37*s**3 Collect the terms in -y**2 - 4 - 57*y**2 + 4. -58*y**2 Collect the terms in 2 - 29*l**3 + 0 - 1 + 0. -29*l**3 + 1 Collect the terms in -4*d - 7*d - 6*d + 14*d. -3*d Collect the terms in 23*l - 43*l + 36*l. 16*l Collect the terms in 92*z - 92*z + 209*z**2. 209*z**2 Collect the terms in 70 - 24 - 20 - 3*q - 26. -3*q Collect the terms in 3 + 0*i + 3*i + 2*i. 5*i + 3 Collect the terms in 50*v**3 + 121*v**3 - 23*v**3. 148*v**3 Collect the terms in 43*f**3 + 54*f**3 + 15*f**3. 112*f**3 Collect the terms in -68 - 42*i**2 + 68. -42*i**2 Collect the terms in -9*l**3 + 2186*l - 2186*l. -9*l**3 Collect the terms in 21*s**2 - 58*s + 58*s. 21*s**2 Collect the terms in 0*h - 13*h**3 + 0*h - 16*h**3. -29*h**3 Collect the terms in 5*w**2 + 3*w**2 - 4*w**2 + 0*w**2. 4*w**2 Collect the terms in 14*z**2 - 5*z**2 + 3*z**2. 12*z**2 Collect the terms in 65193*t**3 - 65174*t**3 + t - t. 19*t**3 Collect the terms in -4 + 4 + 63*z**3 + 19*z**3. 82*z**3 Collect the terms in 2*g + 13 + 8 + 39. 2*g + 60 Collect the terms in 7*v + 12 - 3 - 9. 7*v Collect the terms in -5619 - 9*n**2 + 2*n**2 + 5619 - 3*n**2. -10*n**2 Collect the terms in -13*r**2 + 27*r**2 - 9*r**2. 5*r**2 Collect the terms in -57*i**3 - 6 + 6. -57*i**3 Collect the terms in -2*q**2 + 915*q + 914*q - 1829*q. -2*q**2 Collect the terms in -o - 8*o + 22*o. 13*o Collect the terms in 47*j - 19*j - 28*j - j**3. -j**3 Collect the terms in 9*v - 21*v + 11*v + 2*v + 2*v. 3*v Collect the terms in 8*b**3 - 35*b**3 - 21*b**3. -48*b**3 Collect the terms in 7*y**2 - 13*y**2 - 2*y**2. -8*y**2 Collect the terms in 22*d - 15*d**3 - 21*d**2 + 21*d**2 - 22*d. -15*d**3 Collect the terms in -12*t + 4*t - 31*t - 5. -39*t - 5 Collect the terms in -2 - 3*c + 0 + c. -2*c - 2 Collect the terms in -16462*j**2 + 6*j**3 - 16466*j**2 + 32928*j**2. 6*j**3 Collect the terms in -160*z**3 + 51*z**3 + 51*z**3 + 54*z**3. -4*z**3 Collect the terms in -785 + 785 - 67*u**3. -67*u**3 Collect the terms in -27*m**2 - 8*m + 0*m + 8*m. -27*m**2 Collect the terms in -6*i**2 + 3*i**2 + 5*i**2. 2*i**2 Collect the terms in 2 + 65*k - 64*k + 0 - 2. k Collect the terms in -128*a**3 - 3*a - 21*a**3 + a. -149*a**3 - 2*a Collect the terms in -22*n**2 - 16*n**2 + 5*n**2 + 3*n**2. -30*n**2 Collect the terms in 30*k - 12*k - 16*k. 2*k Collect the terms in 9*k**2 - k**2 - k**2 + k**2 - 7*k**2. k**2 Collect the terms in 5*h - 1 + 1 - 44*h. -39*h Collect the terms in 21*m + 11*m - 2*m**3 - 32*m. -2*m**3 Collect the terms in -19 - 11 + 30 + 4*i**2. 4*i**2 Collect the terms in -22*y + 19*y - 33*y. -36*y Collect the terms in -15*k - 12*k - 5*k - 9*k. -41*k Collect the terms in -6*f + f + 2*f + f. -2*f Collect the terms in -114*l**2 + 344*l**2 - 115*l**2 - 109*l**2. 6*l**2 Collect the terms in -86*t - 84*t + 52*t. -118*t Collect the terms in 256*x - 254*x - 8 + 8. 2*x Collect the terms in 9*i**2 + 7*i**2 + 4*i**2 - 29*i**2. -9*i**2 Collect the terms in 3*s**2 - 3*s + 3*s - 4*s + 4*s. 3*s**2 Collect the terms in -3*k**2 + 10*k - 10*k + 10*k**2. 7*k**2 Collect the terms in 478645*n - 478645*n - n**2. -n**2 Collect the terms in 3*k**3 - 10*k**3 - 18*k**3 - k**3. -26*k**3 Collect the terms in 2*k + 15 + 19 - k + 29. k + 63 Collect the terms in -5*a**3 + 8*a**2 - 13*a**2 + 5*a**2. -5*a**3 Collect the terms in 5*d - 5*d + 0*d + 2*d + 0*d. 2*d Collect the terms in -2 + 29*q - 30*q + 2. -q Collect the terms in x**3 - 547*x + 547*x. x**3 Collect the terms in 4 - 9*v**3 - 7*v**3 - 4. -16*v**3 Collect the terms in -10*p**2 + 2*p**2 - 2*p**2 - 11 - p**2. -11*p**2 - 11 Collect the terms in 12633 - 12633 + 9*f**2. 9*f**2 Collect the terms in 108*f**2 - 217*f**2 + 106*f**2. -3*f**2 Collect the terms in 185521 - 185521 + 2*o**2. 2*o**2 Collect the terms in -201*n**3 + 405*n**3 - 195*n**3. 9*n**3 Collect the terms in -137*q - 261*q - 125*q. -523*q Collect the terms in 42*g**2 + 53*g**2 - 35*g**2. 60*g**2 Collect the terms in 8*x**3 + 4*x + 18*x**3 - 4*x. 26*x**3 Collect the terms in -178*u + 63*u + 108*u. -7*u Collect the terms in 3*s - 5*s + 6*s + s**3. s**3 + 4*s Collect the terms in 17*r**3 + 8*r**3 + 7*r**3 - 33*r**3. -r**3 Collect the terms in 2*k - 3 + 3 - 1524*k**2. -1524*k**2 + 2*k Collect the terms in 12*w - 48*w + 35*w. -w Collect the terms in 80*o**3 - 189*o**3 + 106*o**3. -3*o**3 Collect the terms in -9 + 22 - 13 + u. u Collect the terms in -1473*i**2 + 2925*i**2 - 1458*i**2. -6*i**2 Collect the terms in 13*i - 23*i - 19*i. -29*i Collect the terms in -17*m**2 + 8*m**2 + 9*m**2 + 25*m**3. 25*m**3 Collect the terms in -4*b + 17*b - 6*b. 7*b Collect the terms in 7*d + 5*d + 0*d - d. 11*d Collect the
{ "pile_set_name": "DM Mathematics" }
j**2 + 1213*j + 2 What is the v'th term of 124166, 248324, 372482, 496640? 124158*v + 8 What is the l'th term of -9665, -19340, -29017, -38696, -48377, -58060? -l**2 - 9672*l + 8 What is the b'th term of 490, 561, 614, 649, 666, 665, 646? -9*b**2 + 98*b + 401 What is the a'th term of 845, 1044, 1243? 199*a + 646 What is the c'th term of 3516, 3504, 3504, 3522, 3564, 3636? c**3 - 19*c + 3534 What is the y'th term of 462, 514, 578, 660, 766, 902? y**3 + 45*y + 416 What is the q'th term of -1903784, -1903783, -1903782, -1903781, -1903780, -1903779? q - 1903785 What is the t'th term of -3987, -4000, -4021, -4050, -4087, -4132? -4*t**2 - t - 3982 What is the k'th term of 2322, 4656, 7014, 9408, 11850, 14352? 2*k**3 + 2320*k What is the f'th term of 116995, 467987, 1052973, 1871953, 2924927? 116997*f**2 + f - 3 What is the u'th term of 46254, 46221, 46188? -33*u + 46287 What is the l'th term of -11, -39, -79, -137, -219, -331, -479? -l**3 - 21*l + 11 What is the l'th term of 1167, 769, 371, -27, -425, -823? -398*l + 1565 What is the m'th term of -86608, -86599, -86584, -86563? 3*m**2 - 86611 What is the y'th term of 450, 480, 526, 588? 8*y**2 + 6*y + 436 What is the g'th term of -165672, -165683, -165698, -165717? -2*g**2 - 5*g - 165665 What is the h'th term of -20400, -20405, -20410? -5*h - 20395 What is the o'th term of -407, -1654, -3735, -6650, -10399? -417*o**2 + 4*o + 6 What is the g'th term of 563, 229, -679, -2449, -5369, -9727, -15811? -48*g**3 + g**2 - g + 611 What is the y'th term of -1103, -1137, -1171, -1205, -1239? -34*y - 1069 What is the w'th term of 122, -146, -594, -1222, -2030, -3018? -90*w**2 + 2*w + 210 What is the c'th term of 341, 1110, 3153, 7094, 13557, 23166, 36545? 104*c**3 + 13*c**2 + 2*c + 222 What is the f'th term of -88, -128, -116, -52, 64? 26*f**2 - 118*f + 4 What is the i'th term of -1226, -2367, -3508, -4649, -5790? -1141*i - 85 What is the o'th term of 752, 714, 676, 638? -38*o + 790 What is the j'th term of -4991, -4965, -4939? 26*j - 5017 What is the t'th term of -15678, -31385, -47092, -62799? -15707*t + 29 What is the f'th term of -1813, -1572, -1331, -1090? 241*f - 2054 What is the r'th term of -43, -86, -191, -358, -587, -878, -1231? -31*r**2 + 50*r - 62 What is the d'th term of -548491, -548490, -548489, -548488, -548487, -548486? d - 548492 What is the m'th term of -14362, -28734, -43106, -57478, -71850, -86222? -14372*m + 10 What is the b'th term of 9305, 9183, 9061? -122*b + 9427 What is the r'th term of -61775, -61773, -61769, -61763, -61755? r**2 - r - 61775 What is the g'th term of -1002, -1032, -1062, -1092? -30*g - 972 What is the o'th term of -250, -598, -942, -1282, -1618, -1950? 2*o**2 - 354*o + 102 What is the m'th term of 130, 508, 1136, 2014, 3142, 4520? 125*m**2 + 3*m + 2 What is the o'th term of -1998, -2149, -2302, -2457, -2614, -2773? -o**2 - 148*o - 1849 What is the h'th term of 739, 459, 179? -280*h + 1019 What is the t'th term of -17983, -17942, -17901, -17860, -17819, -17778? 41*t - 18024 What is the m'th term of -6761, -13709, -20657? -6948*m + 187 What is the o'th term of 6326, 6332, 6338, 6344, 6350? 6*o + 6320 What is the o'th term of -635, -1171, -1605, -1937? 51*o**2 - 689*o + 3 What is the c'th term of -25, -57, -125, -241, -417, -665, -997? -2*c**3 - 6*c**2 - 17 What is the i'th term of 76, 105, 148, 205, 276? 7*i**2 + 8*i + 61 What is the j'th term of 656642, 1313280, 1969918? 656638*j + 4 What is the l'th term of 3203, 3184, 3153, 3110, 3055? -6*l**2 - l + 3210 What is the k'th term of 15066, 15061, 15052, 15039, 15022? -2*k**2 + k + 15067 What is the f'th term of -757, -5983, -20123, -47635, -92977? -743*f**3 + f**2 - 28*f + 13 What is the c'th term of 4843, 4838, 4845, 4870, 4919, 4998, 5113? c**3 - 12*c + 4854 What is the a'th term of -1263, -5016, -11269, -20022? -1250*a**2 - 3*a - 10 What is the g'th term of 11983, 23980, 35977, 47974, 59971, 71968? 11997*g - 14 What is the u'th term of 1231, 1216, 1201, 1186? -15*u + 1246 What is the w'th term of -3641, -3560, -3409, -3176, -2849, -2416, -1865? 2*w**3 + 23*w**2 - 2*w - 3664 What is the r'th term of 310, -430, -1174, -1922? -2*r**2 - 734*r + 1046 What is the k'th term of 3262, 3050, 2698, 2212, 1598, 862? k**3 - 76*k**2 + 9*k + 3328 What is the o'th term of 103258, 206527, 309796? 103269*o - 11 What is the n'th term of 48, 257, 832, 1959, 3824, 6613, 10512? 31*n**3 - 3*n**2 + n + 19 What is the x'th term of 394, 341, 246, 103, -94, -351, -674? -x**3 - 15*x**2 - x + 411 What is the m'th term of 2173, 2132, 2033, 1852, 1565, 1148? -4*m**3 - 5*m**2 + 2*m + 2180 What is the j'th term of 80757, 161572, 242385, 323196, 404005? -j**2 + 80818*j - 60 What is the i'th term of -43039, -43077, -43115, -43153, -43191, -43229? -38*i - 43001 What is the v'th term of 1002, -3142, -7274, -11388, -15478, -19538? v**3 - 4151*v + 5152 What is the j'th term of 1250, 1264, 1294, 1346, 1426, 1540? j**3 + 2*j**2 + j + 1246 What is the l'th term of -796, -1548, -2248, -2896, -3492, -4036, -4528? 26*l**2 - 830*l + 8 What is the q'th term of 1975, 4001, 6027, 8053? 2026*q - 51 What is the m'th term of 267, 448, 627, 804? -m**2 + 184*m + 84 What is the u'th term of -17189, -17191, -17193? -2*u - 17187 What is the t'th term of 329, 666, 1003, 1340, 1677, 2014? 337*t - 8 What is the n'th term of -62, -63, -64, -65, -66, -67? -n - 61 What is the x'th term of 27632, 27628, 27620, 27608, 27592, 27572, 27548? -2*x**2 + 2*x + 27632 What is the k'th term of 5152, 20708, 46650, 82990, 129740, 186912, 254518, 332570? 2*k**3 + 5181*k**2 - k - 30 What is the a'th term of 82, 583, 1936, 4567, 8902, 15367? 71*a**3 + 4*a + 7 What is the i'th term of -20890, -41841, -62792, -83743? -20951*i + 61 What is the b'th term of -62, 864, 2782, 5686, 9570? -b**3 + 502*b**2 - 573*b + 10 What is the s'th term of 17052, 17359, 17880, 18621, 19588, 20787? s**3 + 101*s**2 - 3*s + 16953 What is the x'th term of 1042, 1016, 978, 922, 842, 732, 586, 398? -x**3 - 19*x + 1062 What is the d'th term of 451, 1392, 2333? 941*d - 490 What is the v'th term of -12155, -48675, -109545, -194765, -304335? -12175*v**2 + 5*v + 15 What is the f'th term of -657, -298, 301, 1140? 120*f**2 - f - 776 What is the s'th term of -1345273, -2690548, -4035821, -5381092? s**2 - 1345278*s + 4 What is the f'th term of -147345, -294682, -442021, -589362, -736705, -884050? -f**2 - 147334*f - 10 What is the r'th term of -919, -1337, -2039, -3031, -4319, -5909, -7807, -10019? -r**3 - 136*r**2 - 3*r - 779 What is the b'th term of -198616, -397231, -595842, -794449, -993052, -1191651? 2*b**2 - 198621*b + 3 What is the m'th term of 84, -60, -304, -654, -1116, -1696? -m**3 - 44*m**2 - 5*m + 134 What is the x'th term of -1163, -9492, -32173, -76382, -149295? -1196*x**3 + 43*x - 10 What is the z'th term of 15, -6, -49, -114, -201, -310? -11*z**2 + 12*z + 14 What is the b'th term of -429, -401, -319, -177, 31, 311? b**3 + 21*b**2 - 42*b - 409 What is the w'th term of 4768, 9527, 14288, 19051, 23816, 28583? w**2 + 4756*w + 11 What is the k'th term of 15108, 15101, 15090, 15075, 15056? -2*k**2 - k + 15111 What is the g'th term of 181943, 181942, 181939, 181934, 181927, 181918, 181907? -g**2 + 2*g + 181942 What is the l'th term of -789, -3215, -7257, -12909, -20165, -29019, -39465? l**3 - 814*l**2 + 9*l + 15 What is the b'th term of 1061, 2158, 3255, 4352, 5449, 6546? 1097*b - 36 What is the q'th term of -328, -1263, -2810, -4969, -7740? -306*q**2 - 17*q - 5 What is the n'th term of -82, -32, 94, 332, 718, 1288, 2078, 3124? 6*n**3 + 2*n**2 + 2*n - 92 What is the z'th term of 1027, 1960, 2893, 3826, 4759? 933*z + 94 What is the l'th term of -69, -81, -19, 153, 471? 6*l**3 + l**2 - 57*l - 19 What is the j'th term of 85, -251, -809, -1589, -2591? -111*j**2 - 3*j + 199 What is the r'th term of 274076, 2192653, 7400224, 17541287, 34260340, 59201881? 274083*r**3 - r**2 - r - 5 What is the k'th term of 538, 348, 158? -190*k + 728 What is the q'th term of -7075, -15586, -24095, -32602, -41107, -49610? q**2 - 8514*q + 1438 What is the k'th term of 856, 1588, 2402, 3340, 4444, 5756, 7318, 9172? 7*k**3 - k**2 + 686*k + 164 What is the w'th term of 4150, 8285, 12418, 16549, 20678? -w**2 + 4138*w + 13 What is the k'th term of 192
{ "pile_set_name": "DM Mathematics" }
common multiple of (-124)/(-12) + 2 - 1/3 and y? 12 What is the common denominator of -45/8 and 254/(-68) + (-2)/(-2) + 1? 136 Let d = 27 - 1. What is the smallest common multiple of d and 2? 26 What is the common denominator of -87/14 and (-3)/84*86 - -1? 14 Let f = -3/196663 - 9788900807/1179978. Let s = f + 30656/3. Let z = s + -1917. What is the common denominator of -67/4 and z? 12 Let b(z) = -z + 8. Let r(y) = y**3 - y**2 + y + 15. Let n be r(0). Let w = n + -7. Calculate the lowest common multiple of w and b(6). 8 Let u be (-8)/2*7/(-14). Suppose -u*d + 4 + 0 = 0. What is the common denominator of d and (-182)/30 + 4/6? 5 Let n(k) = k**2 + k - 3. Let c be n(-3). What is the lowest common multiple of 10 and (2 + -3 + 4)*c? 90 Let j = 3067 - 24465/8. Calculate the common denominator of j and -69/14. 56 Suppose 12 = -2*o - 4*n, -4*n = -4*o - 0*o. Let z = 9 - o. Calculate the least common multiple of 9 and z. 99 Suppose 9*v - 60 = 4*v. What is the lowest common multiple of v and 20? 60 Let c = 7 + -5. Suppose -c = k, 2*q + k = -0*q - 2. Suppose 3*y - u = 23, -y + 3*u + 19 + 2 = q. What is the least common multiple of y and 11? 66 Let o = 22 - 18. Suppose 3*p - 5*p = -20. What is the least common multiple of p and o? 20 Suppose o + w = -4*o + 105, 64 = 2*o - 4*w. Calculate the smallest common multiple of o and 6. 66 Let i be (4 - 1)/(6/80). Let k be 5 + (1 - (-2 + 5)). Suppose -o = k*o - i. Calculate the lowest common multiple of 10 and o. 10 Calculate the common denominator of 49/22 and (62/90)/(2/(-5)). 198 Suppose -42 = -6*u + 3*u. Suppose r + 2*n - 1 = 6, 2*n - 13 = r. Let c(x) = -x**3 - x**2 + 2*x + 4. Calculate the least common multiple of u and c(r). 112 Calculate the common denominator of 151/6 and (11/132)/(2/267). 24 Let r = -33/65 + 6247/910. Let q = -124/7 - -2693/154. What is the common denominator of q and r? 154 Suppose -5*i + 30 + 20 = 0. Let d = -4 - -16. What is the lowest common multiple of d and i? 60 Let s = 13371/3880 + 3/776. Calculate the common denominator of 47/4 and s. 20 Let c(l) = 2*l - 3. Let r be c(-6). Let n = 25 + r. What is the lowest common multiple of (6 - 2)*66/12 and n? 110 Let i be (-5)/((-30)/(-4))*-6. Let f be 40/(0 - 2/i). Calculate the common denominator of (4/(-6))/(f/348) and 69/8. 40 Let k(o) = -o**3 - 9*o**2 + 9*o - 6. Let h(j) = j**3 - 6*j**2 + 5. What is the least common multiple of h(6) and k(-10)? 20 Let r be 1/(2 + 27/(-13)). Let h = r - -24. Let a(s) = -s**3 - 8*s**2 + 21*s + 21. Calculate the smallest common multiple of h and a(-10). 11 Let f be 2 + 3 + 0/(-3). Let v = 4 + -3. Suppose -2*u + 0*a = f*a + v, -5*a - 7 = -u. Calculate the lowest common multiple of 2 and u. 2 Let r = -132 + 68. What is the common denominator of -1/2 and (-2)/r*2250/15? 16 Let u = -121 + 184. Suppose -2*x + u = -5*x. What is the common denominator of 81/8 and x? 8 Suppose 9*w - 110 = 4*w. What is the common denominator of 2/5 and (-3)/(21/w) - 1? 35 Let b = 43 - 36. What is the lowest common multiple of 6 and b? 42 Let h = 7 + -19. Let l(m) = -m**3 + 8*m**2 - 9*m + 10. Let o be l(7). What is the common denominator of (o/h)/((-4)/306) and 55/18? 18 Find the common denominator of -59/16 and (-2)/12*1485/(-22). 16 Let n = 1/2538 - -14099/2538. Let b = -2159/5 + 23579/55. What is the common denominator of n and b? 99 Let l(u) = 3*u - 4. Let m be l(3). Suppose m*i + 15 = -25. Let j = -3 - i. Calculate the smallest common multiple of j and 11. 55 Suppose -3*j - 249 = -5*t, 0 = 2*t - 4*j - 51 - 57. Let c(w) = 11*w**3 - w + 2. Calculate the smallest common multiple of c(1) and t. 48 Calculate the common denominator of -47/21 and ((-30)/(-32) - 1)/((-2)/284). 168 Let q(z) = z - 3. Calculate the smallest common multiple of 20 and q(13). 20 Let o(g) = g**3 - 9*g**2 + 10*g - 10. Let v be -2 - (-3 - -1 - -6). Let r = 5 - v. Calculate the least common multiple of r and o(8). 66 Let a(j) = 4*j - 1. Let p be a(1). Let o = p - 5. What is the lowest common multiple of 20 and ((-4)/(-5))/(o/(-55))? 220 Let j = 8 + 2. Let i be 164/9 + (-4)/18. Calculate the lowest common multiple of 74/9 - 4/i and j. 40 Let t(w) = 66*w**2 - 5*w - 10. Let x be t(7). Let z be x/(-2268) + 6/8. Let c = z + 10/27. Calculate the common denominator of 21/4 and c. 28 Suppose 4*l - 27 = -7. Let s = 9 - l. Suppose 7*m - 3*c = 4*m + 15, -m = s*c + 15. What is the least common multiple of m and 4? 4 Let m(o) = -o**2 + 5*o - 4. Suppose 5*x + 2*a - 3*a = 70, 2*a = 3*x - 42. What is the least common multiple of x and m(3)? 14 Let h = -100 - -102. Calculate the least common multiple of h and 6. 6 Let o = 7 - -15. Calculate the least common multiple of o and 30. 330 Let t(a) = -a**3 - 2*a**2 - 3*a - 2. Let u(m) = 2*m**3 - 3*m**2 + 2*m - 1. Let v be u(2). Let z = v + -9. Calculate the lowest common multiple of t(z) and 20. 20 Suppose 2*n - 24 = -2*x, -31 - 5 = -n + 5*x. Suppose -1 = j - 0. Let z = j + 5. Calculate the least common multiple of z and n. 16 Let y = -1144 - -7972/7. Calculate the common denominator of y and 11. 7 Let u(r) = r + 6. Suppose j - 10 = c + 4*c, 5*j = 0. Calculate the least common multiple of 6 - (2*c + 2) and u(-2). 8 Let k = 174 + -124. Calculate the common denominator of (-5)/15 + k/12 and 39/20. 60 Let w = 16155008 - 19386031003/1200. Let k = -4713 - -1885201/400. Let a = w + k. What is the common denominator of -61/16 and a? 48 Let r = 539/4 + -137. Calculate the common denominator of (27/(-40))/(((-231)/(-98))/11) and r. 20 Let f(b) = -5*b + 27. Calculate the least common multiple of 3 and f(3). 12 Calculate the least common multiple of 10 and 15 - (2 + 2 + -1). 60 Let c(n) = -n - 3. Let f be c(-10). Let y(m) = -5*m - 3 - 3*m**2 + 11*m**2 - 1 - m**3. What is the lowest common multiple of y(f) and 14? 70 Let w = 2 - 0. What is the least common multiple of w and -2 - -12 - (4 + -5)? 22 Suppose -3*d + 10 - 28 = 0. Let p be ((-2)/d)/((-2)/(-12)). Suppose -p*x + 17 = -11. What is the smallest common multiple of x and 16? 112 Let p = 8 + -6. Suppose p - 16 = -2*d. What is the lowest common multiple of d and (6/2)/((-3)/(-10))? 70 Let z = -5 + 7. Let b be 2 - 2 - 1 - -13. Let i = b + 6. What is the lowest common multiple of z and i? 18 Let g = 75 - 71. Calculate the smallest common multiple of 6 and g. 12 Let c = 10 - 9. Calculate the lowest common multiple of 18 and (-1 + -7)*(c - 3). 144 Let y(w) = 3*w + 3. Let u be y(5). Let z = -3297/2 + 1600. Calculate the common denominator of u/(-5)*(-10)/22 and z. 22 Let r be (-1)/(-1 - 0)*10. Let f be (-4)/r - (-17)/5. Suppose -f*i + 41 = -19. Calculate the least common multiple of i and 10. 20 Let q = -561300289 - -4571229546951/8144. Let k = q - -3/509. Let b = -669529/53916 + 6/4493. What is the common denominator of k and b? 48 Let u be (1 - 1) + 1 + 4. Suppose 0*j + 5268 = 2*o - 4*j, 2*j = -u*o + 13158. Let r = -31627/12 + o. What is the common denominator of 47/10 and r? 60 Let d = -16 + 27. Suppose -z + 0*z = -d. Calculate the lowest common multiple of 6 and z. 66 Let w = -64/61 - -6673/488. Find the common denominator of 16/6*51/(-36) and w. 72 Calculate the common denominator of ((-3)/(-32))/(3 - (-155)/(-52)) and 2/5 + 447/20. 8 Let c = 11117259349/1610360 + -2186102/317. Let p = 6/635 + c. Calculate the common denominator of -29 and p. 8 Let q = 195/4 - 359/8. What is the common denominator of -38/29 and q? 232 Let k = 26 + -14. Let t = k + -8. What is the lowest common multiple of 26 and t? 52 Let g = 13893/16 + -868. Calculate the common denominator of ((60/16)/(-3))/((-10)/(-65)) and g. 16 Let w(h) = 2*h**2 + 6*h + 2. Let i(g) = g**3 - 8*g**2 - 7*g - 4. Calculate the least common multiple of w(-3) and i(9). 14 Suppose 2*t + 4*r = -14, 2*t - 2*r - 13 = -3*t. Let c be 17 + (0 + t - 0). What is the least common multiple of (-4)/c - 92/(-9) and 5? 10 Let u(v) = -v**3 + 7*v**2 + 3*v + 4 + 2*v**3 + 0*v**3. Calculate the lowest common multiple of u(-6) and 18. 198 Let q = 1501/2 - 729. Find the common denominator of q and -54/11. 22 Let s = 25918/11 + -2359. Find the common denominator of s and -69/2. 22 What is the common denominator of (-2)/(-2) + 60/32 and -21/10? 40 Suppose 4*d + d + 10 = 0. Let i = 8 + 4. Calculate the lowest common multiple of d/(-6)*0 - -2 and i. 12 What is the lea
{ "pile_set_name": "DM Mathematics" }