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p? 0, 1 Suppose 34*b - 117*b = -38*b. Let -4/5 - 6/5*g + b*g**2 + 2/5*g**3 = 0. Calculate g. -1, 2 Let b = -1033/18 + 584/9. Solve -5*i + 0 + 25/2*i**3 + b*i**2 = 0. -1, 0, 2/5 Factor 0 + 2*f - 1/3*f**4 - 2*f**3 + 1/3*f**2. -f*(f - 1)*(f + 1)*(f + 6)/3 Let b(c) = c**2 - 17*c + 10. Let v(n) = -2*n**2 + 52*n - 29. Suppose 4*t + 4 = 0, -3*k - 9 = -5*t + 7. Let j(i) = k*b(i) - 2*v(i). Suppose j(w) = 0. What is w? 1, 4 Let k(n) = 2*n - 8. Let p = 24 - 20. Let t be k(p). Determine j, given that t - 1/3*j**2 - 1/3*j = 0. -1, 0 Let z(q) be the first derivative of -2*q**3/15 + 37*q**2/5 - 72*q/5 + 19. Find o, given that z(o) = 0. 1, 36 Let y(v) be the first derivative of 0*v - 7/4*v**3 - 45/16*v**4 - 26 - 27/20*v**5 - 3/8*v**2. Factor y(i). -3*i*(i + 1)*(3*i + 1)**2/4 Let q(z) be the second derivative of -z**6/240 + z**5/80 + z**4/32 - z**3/12 - z**2/4 + 110*z + 2. Solve q(g) = 0 for g. -1, 2 Let i(v) be the first derivative of -v**6/9 + v**5/3 + 13*v**4/6 + v**3/9 - 5*v**2 + 380. Let i(t) = 0. What is t? -2, -3/2, 0, 1, 5 Let s(q) be the second derivative of -q**7/105 + 7*q**6/75 + 9*q**5/50 - 7*q**4/30 - 8*q**3/15 + 44*q. What is h in s(h) = 0? -1, 0, 1, 8 Factor 15/4 - 1/4*m**3 + 1/4*m**2 + 17/4*m. -(m - 5)*(m + 1)*(m + 3)/4 Determine l so that 6*l**2 + 61*l - 5*l**5 - 95*l**3 + 99*l**2 - 42*l - 105*l**4 + 81*l = 0. -20, -1, 0, 1 Let p(t) be the second derivative of -2*t**7/7 + 23*t**6/10 + 57*t**5/10 - 4*t**4 - 17*t**3 - 21*t**2/2 - 12*t - 1. Let p(n) = 0. What is n? -1, -1/4, 1, 7 Let h be -6*15/20*8/(-2). Suppose h*l = 19*l. Factor 3/2*b**5 + 0*b**4 + 0*b**2 + 0 - 3/2*b**3 + l*b. 3*b**3*(b - 1)*(b + 1)/2 Factor 0*n + 0 + 3*n**3 - 3/2*n**4 + 12*n**2. -3*n**2*(n - 4)*(n + 2)/2 Let t(i) be the second derivative of i**6/135 - 14*i**5/45 + 65*i**4/18 + 28*i**3/27 - 196*i**2/9 - 536*i. Let t(d) = 0. Calculate d. -1, 1, 14 Factor -10/3*p**2 + 8*p - 24/5. -2*(5*p - 6)**2/15 Let m(x) = -15*x + 72. Let c be m(5). Let j be -3*(c + (2 - 0)). Factor -3 - 3/2*f**5 + j*f**3 + 21/2*f + 3*f**4 - 12*f**2. -3*(f - 1)**4*(f + 2)/2 Let h(m) be the third derivative of -m**7/630 - 7*m**6/360 + m**5/180 + 7*m**4/72 + 145*m**2. Factor h(a). -a*(a - 1)*(a + 1)*(a + 7)/3 Let i = 24 + 2. Let l = i - 17. What is z in 20*z**2 - 7*z**2 - l*z**2 = 0? 0 Let o(s) be the third derivative of -s**8/2016 + s**7/1260 + s**6/240 - s**5/72 + s**4/72 + 44*s**2. Factor o(n). -n*(n - 1)**3*(n + 2)/6 Let l(c) = -3*c - 13*c + 9*c**2 - c**2 + 5 - c**3. Let v be l(5). Factor -7/6*r**5 + v + 0*r - 1/3*r**2 - 8/3*r**4 - 11/6*r**3. -r**2*(r + 1)**2*(7*r + 2)/6 Let y(r) be the second derivative of 0 - 7*r - 24*r**2 + 4*r**3 - 1/4*r**4. Factor y(f). -3*(f - 4)**2 Let s(m) be the first derivative of 5*m**3 + 60*m - 5/4*m**4 + 29 + 40*m**2. Find c, given that s(c) = 0. -2, -1, 6 Let j(q) be the second derivative of -2*q**7/21 - 28*q**6/5 - 587*q**5/5 - 2702*q**4/3 + 392*q**3 + 5488*q**2 - 3*q. Factor j(l). -4*(l - 1)*(l + 1)*(l + 14)**3 Let n(x) be the third derivative of x**9/166320 + x**8/110880 - x**7/5544 + x**6/1980 - x**5/4 + 8*x**2. Let v(d) be the third derivative of n(d). Factor v(w). 2*(w - 1)*(w + 2)*(2*w - 1)/11 Suppose -o + l + 9 = 0, -3*o - 5*l - 23 = -10. Solve -3*y**4 - 5*y**2 - 4 - 5*y**o + 8*y**3 + 13*y**2 - 4*y**5 + 4*y**4 - 4*y = 0 for y. -1, 1 Let m = 38 + -35. Factor 8*r - 4*r**2 + 3 + m + 6*r**2. 2*(r + 1)*(r + 3) Let n = 19 - 4. Suppose 5*g**4 + n*g + 3*g**3 - 10 + 2*g**3 + 5*g**2 - 6*g**3 - 14*g**3 = 0. What is g? -1, 1, 2 Suppose 68*y - 70*y = -5*x + 2, 5*y = -3*x + 26. Factor c + 1/6*c**x + 5/6. (c + 1)*(c + 5)/6 Let n(f) be the second derivative of 5*f**4/33 - 13*f**3/33 + 3*f**2/11 + 3*f - 1. Suppose n(v) = 0. What is v? 3/10, 1 Suppose -2*t = 9*t - 22. Factor -j**2 + t*j**2 + 43*j - 46*j. j*(j - 3) Let y(s) be the first derivative of -s**6/24 - 17*s**5/20 - 57*s**4/8 - 94*s**3/3 - 76*s**2 - 96*s + 430. Find f such that y(f) = 0. -4, -3, -2 Let f be 12*1/48 + -4 + (-255)/(-36). Solve -f*y - 2/3*y**3 + 4/3 + 8/3*y**2 = 0. 1, 2 Let k be 1*-3*(0 - -5). Let f be 5/(k/9)*-1. Solve -5 + 2*a**3 - a**5 + 3 - f*a - 3*a**3 + 2*a**2 + 5*a**3 = 0. -1, 1, 2 Let n(h) be the second derivative of 1/7*h**3 + 1/70*h**5 + 0 + 18*h + 0*h**2 + 2/21*h**4. Solve n(k) = 0 for k. -3, -1, 0 Suppose 60*k - 61*k - 6 = -l, 3*k = -3*l. Let h(u) be the first derivative of 16/15*u**6 + 4/3*u**l - 13 + 33/10*u**4 + 1/5*u**2 + 0*u + 16/5*u**5. Factor h(t). 2*t*(t + 1)**2*(4*t + 1)**2/5 Factor 12/7*i + 6/7*i**3 + 4/7 + 1/7*i**4 + 13/7*i**2. (i + 1)**2*(i + 2)**2/7 Let z(y) = 3*y**2 - 3*y + 13. Let b(f) = 2*f**2 - 2*f + 7. Let i(j) = 5*b(j) - 3*z(j). Let o be i(-2). Factor 15*s - 9*s**3 - 3*s**4 - 24*s + 9*s - 6*s**o. -3*s**2*(s + 1)*(s + 2) Let q(r) be the second derivative of r**4/12 + 17*r**3/6 + 8*r**2 + 143*r. Suppose q(c) = 0. What is c? -16, -1 Let s be (-14)/6*(-2 - 1). Suppose 5*h - 2*t = -s*t + 30, -h + 4*t = -1. What is m in 7*m**5 - 15*m**2 + 3*m - 21*m**4 + 16*m**3 - m**h + 11*m**3 = 0? 0, 1/2, 1 Let w(l) = -l - 5. Let k be (-3 - -4)*-2 - 5. Let h be w(k). Factor 0 + 0*b + 4/13*b**3 + 2/13*b**h + 2/13*b**4. 2*b**2*(b + 1)**2/13 Let g(s) be the third derivative of -s**5/20 + 41*s**4/8 - 1681*s**3/8 - 4*s**2 - 26*s. Factor g(p). -3*(2*p - 41)**2/4 Determine s, given that 18*s**4 - 24*s**3 + 4*s**4 - 7*s**4 + 12*s - 22*s**2 - 5*s**4 = 0. -1, 0, 2/5, 3 Suppose -2*g - 2 = 4*p, -10*g + 7*g - 3 = -2*p. Let l be 0 + 2 - (-5)/(-3). Let -l*b**5 - b**3 + b**4 + 1/3*b**2 + p*b + 0 = 0. Calculate b. 0, 1 Let t(k) = -k**3 + 6*k**2 + k. Let p be 5/(4 + (-3)/2). Let r(x) = 6*x**2 + 2*x. Let o(q) = p*t(q) - 3*r(q). Factor o(f). -2*f*(f + 1)*(f + 2) Let o = -5520 - -5523. Factor -2/5 + 0*d**2 - 9/5*d**o + 7/5*d. -(d + 1)*(3*d - 2)*(3*d - 1)/5 Let s = 27693/8 - 3446. Let u(j) be the second derivative of -5/16*j**4 - s*j**2 + 3*j - 1/80*j**5 + 0 - 25/8*j**3. Factor u(h). -(h + 5)**3/4 Let h(j) be the second derivative of -3*j**5/70 - 5*j**4/42 + 4*j**3/21 + 4*j**2/7 + j - 3. Suppose h(g) = 0. What is g? -2, -2/3, 1 Factor -138*g**2 - 1/5*g**3 - 31740*g - 2433400. -(g + 230)**3/5 Let m(r) be the first derivative of -r**6/405 - 37*r**5/540 - r**4/12 + 17*r**3/3 + 38. Let w(s) be the third derivative of m(s). Factor w(j). -2*(j + 9)*(4*j + 1)/9 Let f = -2/101169 + 730721/2832732. Let a = f - 1/28. Factor 0 - 2/3*u**2 + 0*u**3 + a*u**4 + 4/9*u. 2*u*(u - 1)**2*(u + 2)/9 Suppose 3*v - 15*v + 24 = 0. Factor -7*z**3 + 40*z**2 + v*z**3 - 15*z**4 - 19*z - z. -5*z*(z - 1)*(z + 2)*(3*z - 2) Suppose 0 = 5*f - 95 + 85. Factor 5*j**2 + 4 - 3*j**2 - 12 - f*j - 4. 2*(j - 3)*(j + 2) Let f(r) be the second derivative of r**5/2 + 52*r**4 - 191*r**3/3 - 126*r**2 - 2*r - 182. Find c, given that f(c) = 0. -63, -2/5, 1 Let b(n) = n**3 - n - 1. Suppose 6*o = 3*o + 18. Let c(k) = 4*k**3 - 2*k**2 - 3*k - 3. Let a(j) = o*b(j) - 2*c(j). Determine f, given that a(f) = 0. 0, 2 Let n(m) be the third derivative of m**8/672 - 29*m**7/420 + m**6/3 + 491*m**5/30 + 66*m**4 - 432*m**3 - 588*m**2. Find q such that n(q) = 0. -4, 1, 18 Let p be (-5 - (-2 + -2))/((-2)/44). Suppose -p*s - 8 = -26*s. Factor 0 + 4/5*i - 6/5*i**s + 2/5*i**3. 2*i*(i - 2)*(i - 1)/5 Let u be (-3 + 2)*(-10 + 5) + -3. Let y be -2 - 1/((-3)/15). Suppose 36/5*x**y + 3/5*x**5 + 24/5*x**u + 0*x + 18/5*x**4 + 0 = 0. Calculate x. -2, 0 Let r(z) = 136*z**3 - 524*z**2 - 172*z + 128. Let g(l) = -l**3 - l - 2. Let s(a) = -24*g(a) - r(a). Factor s(c). -4*(c - 5)*(4*c - 1)*(7*c + 4) Let d be -4 - (1 - -1 - 2). Let f be (-18)/(-10) - 3/(-1 - d). Factor -f*y**2 + 2/5 + 2/5*y**4 - 2/5*y**5 + 4/5*y**3 - 2/5*y. -2*(y - 1)**3*(y + 1)**2/5 Let z(c) be the second derivative of -c**7/7560 - c**6/810 - c**5/270 + 5*c**3/6 + 26*c. Let l(f) be the second derivative of z(f). Factor l(a). -a*(a + 2)**2/9 Let m(h) be the first derivative of -h**3/21 - 9*h**2/7 - 17*h/7 + 247. Factor m(d). -(d + 1)*(d + 17)/7 Let s be (-86)/(-3)*1/(-2). Let b = s - -15. Factor b + 0*i**2 + 1/3*i**3 - i. (i - 1)**2*(i + 2)/3 Let c be (-2)/80*-2*((25 - 5) + -8). Factor 0 - c*w**2 - 9/5*w. -3*w*(w + 3)/5 Let o(v) = 5*v - 2*v + 44 - 17 - 23. Let g be o(5). Solve 6*u**3 + 13*u**2 - 25*u**2 - 12*u - 3 + g*u**4 - 4*u**4 + 6*u**5 = 0 for u. -1, -1/2, 1 Let f be (-16)/(-56) + (-428)/1547. Let y = 878/663 + f. Factor y*d**4 + 0 -
{ "pile_set_name": "DM Mathematics" }
37, -4*q - 465 = 13*m - 14*m. List the prime factors of m. 3, 53 Let v = -1695 + 4378. What are the prime factors of v? 2683 What are the prime factors of (-4 + 1256)*(6/(-4) - -2)? 2, 313 Let o(b) = -b**2 + 17*b + 66. Suppose 8*l - 126 = 10. What are the prime factors of o(l)? 2, 3, 11 Let o(p) = p**2 - 12*p - 14. Let r(b) = 2*b**2 - 24*b - 27. Let u(z) = -5*o(z) + 2*r(z). Let m be 3/6 + 231/22. List the prime factors of u(m). 3 Let g = -68 + 73. List the prime factors of (-13)/g + 3 + (-1456)/(-10). 2, 73 Suppose -4*w + 4*j + 42 = -26, -2*j - 10 = 0. Suppose 22 = c - w. Suppose -x - c = -3*x. What are the prime factors of x? 17 Let t(n) = -14*n - 9. Let w be t(-2). Suppose j = w + 20. List the prime factors of j. 3, 13 Suppose -2545 = -3*j - 5*s, -4*s + 3055 = 5*j - 1178. What are the prime factors of j? 5, 13 Suppose 21*p = 26*p - 300. What are the prime factors of p? 2, 3, 5 Suppose 2*q - 1117 = -5*h + 697, 5*q - 5*h - 4465 = 0. List the prime factors of q. 3, 13, 23 Suppose 0*k + 4*k - 28 = 0. Suppose l - 17 - k = 0. Let f = -4 + l. What are the prime factors of f? 2, 5 Suppose -1 = -b - 4. Let l(u) = 19*u - 34*u - 1 + 3*u. What are the prime factors of l(b)? 5, 7 Let s be 2/6 + (-1722)/(-18). Let t(m) = 6*m**3 - 2*m**2 - 2*m + 4. Let b be t(-2). Let p = b + s. What are the prime factors of p? 2, 3 Let m(j) = j**2 + 7*j. Let z be m(-7). Let x = -16 - -40. Suppose z*s = 4*s - x. List the prime factors of s. 2, 3 Suppose -3*d = 2*d - 5*l + 405, -2*d - 163 = -3*l. List the prime factors of ((-20)/d)/((-1)/(-148)). 37 Suppose -29*l + 248 = -25*l. List the prime factors of l. 2, 31 Let w = 21 - 4. Let k = w - 13. List the prime factors of k. 2 Suppose 8*g - 4*g = 84. Let n be (-2)/(-6) - 7/g. Suppose n = -3*s + 4*v + 36, -3*v - 60 = -4*s - s. What are the prime factors of s? 2, 3 Suppose 14 = 2*z - 3*v, -4*v - 5 = -13. Let u be (24/15)/(2/z). Suppose a + 30 = 5*f, 2*f + a = 4 + u. List the prime factors of f. 2, 3 Suppose -3*i - 1 = -2*c, 2*c - 2*i - 6 + 4 = 0. Suppose -335 = -c*d + 3*k, 2*d - 18 - 313 = -k. List the prime factors of d. 2, 83 Suppose 0 = -5*h + 4*w + 4178, -2*h + 5*w + 356 = -1305. List the prime factors of h. 2, 419 What are the prime factors of 2/2*(324 + -28)? 2, 37 Let z(r) = -r**3 + 6*r**2 + 7*r - 7. Let k be z(5). Let i be ((-8)/(-10))/((-1)/35). Let w = i + k. List the prime factors of w. 5 Let n(k) = k**3 - 3*k**2 - 2*k - 4. Let q be 3 + 3 - (0 + 2). Let f be n(q). Suppose -f*a + 3*m + 130 = 20, 4*a - 124 = -4*m. What are the prime factors of a? 29 Let w = 27 - 27. Suppose 6*i - 3 - 21 = w. What are the prime factors of i? 2 Suppose t + 4*t - 4967 = -3*y, -y = t - 995. Suppose -4*z - z + g = -t, -201 = -z + 3*g. List the prime factors of z. 2, 3, 11 Let q = -19 - -22. Suppose q*a - 1 = 2. What are the prime factors of (-3)/9*(a + -85)? 2, 7 Suppose 0 = -5*h - 3 - 2. Let t(n) = 6*n**2 - 1. Let g be t(h). Suppose -g*i + 4*x = -4*i - 30, -38 = -3*i - x. List the prime factors of i. 2, 7 Suppose 42 = 5*m - 8*m. List the prime factors of -13 - m - 9*-8. 73 Let q be 6/4 + 526/(-4). Let p be -3 - 1/1 - 73. Let i = p - q. What are the prime factors of i? 53 Suppose 14*h - 546 - 392 = 0. List the prime factors of h. 67 Let z(t) = 103*t - 127. List the prime factors of z(6). 491 Suppose 2065 = -19*s + 13712. List the prime factors of s. 613 Suppose 22*u = -6*u + 13132. What are the prime factors of u? 7, 67 Let l(m) = -2*m - 12. Let k(u) = -1. Let z(v) = -20*k(v) + 2*l(v). Let a be z(-6). Suppose 2*h + 4*x + a = 5*h, -3*h + 5*x = -19. List the prime factors of h. 2 Let g(n) = 4*n**2 + 6*n - 36. What are the prime factors of g(6)? 2, 3 Let n = -253 - -592. What are the prime factors of n? 3, 113 Let l(d) = -7*d + 3. Let j(c) = c**3 - 5*c**2 - 9*c + 9. Let t be j(6). Let b be 39/t - (-2)/6. What are the prime factors of l(b)? 31 Suppose 0 = 3*y - v - 11, -3*y + 8*y = 4*v + 30. Suppose 0 = b + y*b - 5*q - 253, 3*b = 4*q + 251. List the prime factors of (b/(-6))/9*-38. 3, 19 Suppose -2*z - 9 = 4*v - 5, 4*z = -16. List the prime factors of v/(5/((-145)/(-88)) - 3). 29 Suppose 2030 = -c + 11*c. List the prime factors of c. 7, 29 Let g(v) = 5*v**2 + 2*v + 1. Let q be g(-1). Let s be (-2)/4*(-16)/2. Suppose 0 = q*a + s - 48. What are the prime factors of a? 11 Let o be (-11 + 6)/(1/2). Let g(c) be the first derivative of -c**2/2 + 2. List the prime factors of g(o). 2, 5 Let a be (2/5)/(7/315). Let y be (-71)/(2/a*-3). Suppose 2*u + n = 5*u - 151, 4*u + n - y = 0. What are the prime factors of u? 2, 13 Let s = -3 + 3. Let v(r) = 2*r - 30. Let b be v(s). List the prime factors of (7 + 0)*b/(-42). 5 Suppose -5*l = -8*l - 66. Let m = 48 - l. What are the prime factors of m? 2, 5, 7 Let p = 263 + -151. Suppose 0 = -4*y + 496 - p. What are the prime factors of y? 2, 3 Let q = -12 + 14. Let v(o) = -o**3 + 4*o**2 - 2*o - 2. Let c be v(q). List the prime factors of (-2)/(-2 - c)*10. 5 Let f = -3566 + 5850. List the prime factors of f. 2, 571 Let b = -564 + 1102. What are the prime factors of b? 2, 269 Let a = 75 - 75. Suppose -2*g = 4*c - 202, a = 4*g - 21 + 9. List the prime factors of c. 7 Suppose -3*f - 1020 = 7*f. What are the prime factors of -4 + f*(-6)/9? 2 Let w(m) = 2*m + 18. Let a be w(-11). List the prime factors of a/(-10) + (-1586)/(-10). 3, 53 Suppose -2*b = -4*n - 34, 2*n + 3*b - 4 + 1 = 0. Let o(v) = 63*v**2 + v + 1. Let r be o(-1). What are the prime factors of 6/12 - r/n? 11 Let z(c) = 31*c**2 + 3*c - 28. What are the prime factors of z(4)? 2, 3, 5 Let n(x) = -x**2 - 7*x + 2. Suppose -2*k + 21 = -5*k. Let u be n(k). Let f = 26 - u. List the prime factors of f. 2, 3 Suppose 60*j - 27894 = 82566. What are the prime factors of j? 7, 263 List the prime factors of (571 + 2)*80/24. 2, 5, 191 Let l = 46 + -42. Suppose -l*z + 100 = 6*z. List the prime factors of z. 2, 5 Let l be (-304)/(-4) + 1 + -2. Suppose 2*o + 80 = 5*u, o - 4*o - l = -5*u. Suppose 5*d = u + 2. What are the prime factors of d? 2 Let t = -5 - -13. Let m(x) = -4*x - t*x - 8 + 5*x + 1. What are the prime factors of m(-7)? 2, 3, 7 Let q(r) = -2*r - 23. Let w be q(-13). Suppose -w*z + 81 = -0*z. What are the prime factors of z? 3 List the prime factors of 24/12 + 956/2. 2, 3, 5 Let p(l) be the third derivative of l**5/60 + 11*l**4/24 - 11*l**3/2 + 35*l**2. List the prime factors of p(-15). 3 Suppose -z - 3*y + 44 = 0, -5*z - 3*y - y = -176. Let p = 21 + z. What are the prime factors of p? 53 Let a be (-4 - (-685)/10)*-2. Let c = 201 + a. What are the prime factors of c? 2, 3 Let t(y) = -26*y - 1. Let i be t(-1). Let v = 105 + -57. Let f = v - i. List the prime factors of f. 23 Let u be -2*((0 - 1) + 2). Let s = u + 6. Suppose 4*b = s + 8. List the prime factors of b. 3 Suppose 4*w = d + 561, -3*d = 2*w - 80 - 183. Let y = w + -253. What are the prime factors of (-12)/30 + y/(-10)? 11 Let w(r) = r**3 - 9*r**2 + 20*r. Let c be w(8). Suppose 0 = 2*v + 4*l - 82 + 30, 3*l + c = 3*v. What are the prime factors of v? 2, 3, 5 Let s(c) = -c**2 + 4*c + 5. Let u be s(4). Let f be -2*52/12*306/(-12). Suppose 3*t + t - u*j = f, -t + 59 = -2*j. List the prime factors of t. 7 Let m(o) = -6*o - 186. Let n be m(-32). Let k be 8/(-3)*9/(-6). Suppose k*a - n*a = -56. What are the prime factors of a? 2, 7 Let j be 60/3*3*(-1)/(-12). Suppose -k + 3*k - 4*t = 138, j*k + 2*t - 405 = 0. List the prime factors of k. 79 Suppose -15*o + 4452 = -o. List the prime factors of o. 2, 3, 53 Let o be ((-4)/(-8) + 0)*4. Suppose -o = -3*g + 13. Suppose -5*p + 0*y = 2*y - 131, -g*y + 15 = 0. What are the prime factors of p? 5 Suppose -2*t + 28 = 18. Suppose -2*g + 158 = 4*m, -3*m + 61 = -m - t*g. What are the prime factors of m? 2, 19 Let m(r) = 8*r**3 - 3*r**2 + 24*r - 166. List the prime factors of m(7). 23, 113 Suppose 37*w - 21*w - 13632 = 0. What are the prime factors of w? 2, 3, 71 Suppose -3 = -g + 4*a - 19, 3*a = 12. Suppose 2*f + l = -2*f + 329, g = -2*f + 4*l + 178. What are the prime factors of f? 83 Let f be 10 - (-3 - 1) - 0. Suppose 0 = -4*h + 10 + f. Suppose 0 = -h*k + 2*k + 44. List the prime factors of k. 11 Let a(u) = u + 6. Let j be a(-6). Suppose 2*w = -3*r + 111, -2*r + 0*r = -4*w - 90. Suppose j*y = 3*y - r. List the prime factors of y. 13 Let w(z) = -z**2 + 8*z + 9. Let k be w(9)
{ "pile_set_name": "DM Mathematics" }
5 (c) -5 (d) -10 (e) 3 (f) 2/47 (g) 0 g What is the sixth smallest value in 20/19, -5, 0.3, 0, 455, 1/4? 455 What is the sixth biggest value in -144, 2/7, 11, -2/15, -458/3, -2/13? -458/3 Which is the smallest value? (a) -0.2 (b) -117410 (c) 35 b What is the fifth biggest value in 0.05949, 1, -2/7, -1, -3, 6? -1 Which is the sixth smallest value? (a) 3 (b) -1 (c) -0.03 (d) 3/2 (e) -2/3 (f) -412 (g) 7 a Which is the sixth biggest value? (a) 5 (b) 624 (c) 1/263 (d) -0.1 (e) 2 (f) 2/7 (g) 1 c What is the third smallest value in -2215, 54, -2? 54 What is the sixth biggest value in -2, 4, 2/5, -4, 4.265, 0.3626, 2/7? -2 Which is the fourth smallest value? (a) 18/11 (b) -99 (c) -3/16 (d) -18 (e) -0.05 e What is the biggest value in 376042, -31, 0? 376042 Which is the second smallest value? (a) 1.5 (b) -111 (c) -0.3 (d) 1667 (e) -4/3 (f) -2 f Which is the second biggest value? (a) 2/3 (b) -4608/13 (c) -336 c What is the second smallest value in -4, -1104091, 2/27? -4 What is the fourth smallest value in -0.03, -0.2, 5, -1/2, -1/3, -20, -1/835? -0.2 What is the smallest value in 0, -1140, 2.319, 19, -1/4? -1140 What is the smallest value in 4, 0, -1/2, 124/71? -1/2 What is the third smallest value in -24513, -2/13, 10900? 10900 Which is the second biggest value? (a) -22513 (b) 670 (c) 1 c Which is the second smallest value? (a) 13 (b) 0.08 (c) 4 (d) 0 (e) -15/2 d What is the second biggest value in 4, 0.5, -0.2, -476, 6? 4 What is the second smallest value in 5, -10, -30, 0.04, 0.1? -10 What is the smallest value in -3/4, 80, 5, -0.07, 9889/3? -3/4 What is the fourth biggest value in 2, 0.3, 0, 4/17949, 1? 4/17949 Which is the fourth biggest value? (a) -2/15 (b) 4/3 (c) -670986 (d) -3 c What is the fourth biggest value in -169, -0.4, -0.1, 0.5, -1, -1018, 0? -0.4 What is the fourth biggest value in -0.041, -64171, 4/3, 1/3, -3/2, -4? -3/2 Which is the second smallest value? (a) 42 (b) -2/13 (c) 7 (d) -2314 (e) -8.4 e What is the fourth biggest value in 5, -3, -1, 0.3, -0.5, -189, 185? -0.5 What is the fourth smallest value in -0.4, -0.56, 1/3, -407/4, -3? -0.4 Which is the fifth biggest value? (a) -13/77 (b) -9 (c) 2/5 (d) -14 (e) 29 (f) -2/7 b Which is the third smallest value? (a) -41 (b) 33541 (c) 6 b Which is the smallest value? (a) -766210 (b) -79 (c) 0.2 a What is the smallest value in -2, -0.3, -8676, 1? -8676 What is the second biggest value in -2, 3/4, -956.46, 2/9? 2/9 Which is the second biggest value? (a) -103985 (b) -5 (c) -2/281 b What is the second smallest value in 1/4, 0.098, 0.3, -5, -0.25, -0.33? -0.33 Which is the fifth smallest value? (a) 29/7 (b) 78/7 (c) 4 (d) -2 (e) -1 (f) -5 a Which is the sixth smallest value? (a) -4 (b) -1/188 (c) 1 (d) 4 (e) -4.78 (f) 0.19 d Which is the second smallest value? (a) 5 (b) -2/13 (c) -1 (d) 1067982 b What is the second biggest value in 0, 0.1, -2/17, 3334645, -1? 0.1 Which is the third biggest value? (a) -1375 (b) -3/2 (c) -0.2265 a Which is the second smallest value? (a) -0.1 (b) -3 (c) -5 (d) 1076/21 (e) 2430 b Which is the biggest value? (a) 1350/13 (b) 2 (c) 0.057 (d) 0.4 (e) 0.06 a What is the fourth biggest value in 0.08, -1/30, -0.11, 2/9, 3/4, 1/5, 177? 1/5 What is the second smallest value in -9983, -0.09, -0.0648? -0.09 What is the sixth biggest value in -0.1, 1/5, -5, 89, 2/75, 0.6, -0.3? -0.3 Which is the third smallest value? (a) 2/21 (b) 2/9 (c) 32/1267 b Which is the second biggest value? (a) -0.5 (b) 0.3 (c) -0.2 (d) -39/5 (e) -5 (f) 5 (g) -2/107 b Which is the fourth smallest value? (a) 0.4 (b) 53 (c) -3 (d) -0.28 (e) -8/71 (f) -4/9 (g) 5 e Which is the smallest value? (a) 8 (b) 263/41 (c) -5 c Which is the second smallest value? (a) 1 (b) 4/3 (c) 1/6 (d) 0.7 (e) -5 (f) -2394 (g) 0.14 e What is the fourth biggest value in -3, -4, 8, -2, -449? -4 Which is the second smallest value? (a) 18/173 (b) -5 (c) -1/3 (d) 4/11 c Which is the fifth biggest value? (a) -1 (b) -1314 (c) -2/9 (d) 0.079 (e) -4/3 b Which is the smallest value? (a) -4 (b) 2/5 (c) 2 (d) 0.00243 a Which is the smallest value? (a) 0.1 (b) 1 (c) 0.131 (d) 8 (e) 2/13 (f) 1/5 (g) -98 g What is the third biggest value in 2/9, -0.53125, 0, 2, -5? 0 What is the second biggest value in 44, -1, -547259, -2/3? -2/3 Which is the biggest value? (a) -146 (b) -1/5 (c) 72 (d) 564 d What is the third smallest value in 2/9, -3534825, 2, 131? 2 Which is the second biggest value? (a) -12.41 (b) 137 (c) 3 (d) 0.4 (e) -0.3 c Which is the biggest value? (a) 18.6 (b) 15 (c) 786 c What is the fourth smallest value in -5, -1, -2/161, -68.697? -2/161 Which is the second smallest value? (a) -1 (b) -23 (c) -4069 (d) 0.3 b Which is the fourth smallest value? (a) 2 (b) -508 (c) 0.5 (d) 0.6 (e) 33 (f) -4 d What is the second biggest value in 13, -7/37, -0.00847? -0.00847 What is the third smallest value in 44, -3/13, -0.3, 2/9, -1/4, -0.5, -0.02? -1/4 Which is the sixth biggest value? (a) 14 (b) 136 (c) 0.1 (d) 4622 (e) 0 (f) -0.5 f Which is the second biggest value? (a) 16 (b) 11 (c) -0.03739 b Which is the second biggest value? (a) 0 (b) 20/7 (c) 5 (d) 2/3153 b What is the second smallest value in 18/499, 2, -7, 0.2? 18/499 Which is the second smallest value? (a) -1 (b) 1 (c) 8/19 (d) 43 (e) -0.045 e What is the third smallest value in 1/6, -5, 0, -0.0563, 0.3, 5/2? 0 Which is the second biggest value? (a) -0.2 (b) -2/15 (c) 0.5 (d) 24 (e) -2/3 (f) -11 (g) 2 g What is the second biggest value in -3/4, -5, -23565, -8? -5 Which is the seventh smallest value? (a) 5 (b) 3 (c) 1/2 (d) -3 (e) 0.4 (f) -2.9 (g) 0.04 a What is the third biggest value in 3, -1/11, -3056, 0.02, 12, 1/22? 1/22 What is the second smallest value in -4, -2/13, 112.7785, -3, 1/12? -3 Which is the third biggest value? (a) 0 (b) -3148796 (c) -29 b What is the fifth biggest value in -3, -0.3, -38/11, 2/31, -20, 5, 0.2? -3 What is the sixth biggest value in -2, 1.16, 3, -4, -1/3, -0.233? -4 What is the sixth biggest value in 5, 16, 64, -2/9, 8, -1.7? -1.7 What is the fourth biggest value in 3, -59, 5, -144659? -144659 Which is the third biggest value? (a) 0.5 (b) 4 (c) -10.3 (d) -9493 c What is the third smallest value in 0.4, -1, 4, -0.164, -648? -0.164 What is the biggest value in -21, 0.5, 7887.03? 7887.03 What is the second biggest value in -1/3, -0.1, 1/8, -1382, -2/15? -0.1 Which is the third smallest value? (a) -101.38 (b) -3 (c) 2988 c Which is the second smallest value? (a) -10.7 (b) 0.2 (c) 108 (d) 0.02 (e) -3/43 e Which is the third biggest value? (a) 0.3 (b) 4 (c) -1/4 (d) 2/1379 (e) -11972 d What is the smallest value in -3, -0.03, 4426, 2/5, 80? -3 Which is the third smallest value? (a) 5 (b) -1082 (c) 0.3 (d) 0.0725489 c What is the sixth smallest value in 9, -2/3, -196667, 1, -2, -5? 9 Which is the third biggest value? (a) -1 (b) 0.2 (c) 13/8 (d) -30.45 (e) -3/7 (f) 2 (g) 1/2 g What is the third smallest value in -2, -2/3, 9/8, -2163, -5? -2 Which is the second smallest value? (a) -2 (b) 0.915697 (c) 1 b What is the fourth biggest value in -1.7, -0.6, -3/14, -2/3, -0.3, -0.087? -0.6 What is the fourth smallest value in -125, -0.0135, -1, -61, 1? -0.0135 Which is the sixth smallest value? (a) 3 (b) -6 (c) -4/3 (d) -1/5 (e) -529 (f) -7 (g) -3/2 d Which is the third biggest value? (a) 112 (b) -9 (c) 0.17749 b Which is the third smallest value? (a) 2/13 (b) 5/3 (c) 3/8 (d) 3/2 (e) -2 (f) 2/23 (g) 1/8 g What is the fourth biggest value in 3/35, 0.5, -17, -1/5? -17 Which is the fifth biggest value? (a) -0.2 (b) -20/237 (c) 15/4 (d) 3 (e) -5 e Which is the fourth smallest value? (a) -0.0743 (b) -3/7 (c) -3 (d) 1 (e) -1/2 (f) 21/2 (g) -0.4 g Which is the fourth smallest value? (a) 9 (b) -1.7 (c) -3 (d) -4/5 (e) 0.4 (f) 0.2 (g) 11 f What is the second smallest value in -465, 0.3, -2/63, -18/5? -18/5 Which is the third biggest value? (a) -0.05 (b) 2 (c) -2058 (d) -0.2 d Which is the second biggest value? (a) -1345/4 (b) -4 (c) -7 (d) -1/5 (e) -0.0783 d What is the fifth biggest value in -34, 2, 5,
{ "pile_set_name": "DM Mathematics" }
+ 30*p - 61. Let f be x(19). Suppose 0 = 2*g + 4*o - 5630 - f, 3*g - 4*o - 25985 = 0. Is g prime? True Let n = -16 + 17. Let i be -482*10/(-4) + n. Suppose -7*a = 359 - i. Is a prime? False Suppose -4*f - 2259 = -q + 15, -2*q + f = -4527. Let z = 4076 - q. Is z prime? False Suppose 4*p - 4*h + 8936 = 2*p, -2*h - 8912 = 2*p. Let k = p + 8449. Is k composite? False Let p(r) = 3*r - 45. Let s(q) = -q + 15. Let k(z) = 4*p(z) + 11*s(z). Let h be k(3). Is 54 - 1 - (12 + h) a composite number? False Suppose -5*x - 3*j = -0*j - 868, 350 = 2*x + 4*j. Suppose -124 = -4*h - 2*q, 5*h = q + x - 4. Suppose 32*u + 977 = h*u. Is u prime? True Let v = 81 + -76. Suppose -5*m = 4*u - 128251 - 9800, -5*m = v*u - 138050. Is m a composite number? False Suppose 4*c - 8 = 0, -5*b + 2767037 = 5*c - 1393468. Is b composite? True Let d be (6/5)/(3/(-30)*-4). Suppose d*b + 3*o - 26060 - 1618 = 0, -b + 9224 = 3*o. Is b composite? False Let h be (-6 + -1)*1 - -2. Let i(w) = 32*w**3 + 7*w**2 - w - 16. Let x be i(h). Is x/(-6)*(4 - 25/10) a prime number? False Let h = -262 + 286. Suppose -h*a - 3503 = -25*a. Is a a composite number? True Let i = 2302 - 2309. Let o(t) = -74*t - 33*t - 20 + 4*t. Is o(i) prime? True Let s = -59159 + 111933. Is s composite? True Let j(w) = w**3 + 11*w**2 + 11*w + 22. Let d be j(-10). Suppose -d*o - 2186 = -13*o. Let n = o + -1137. Is n composite? False Let a(r) = r - 19. Let m be a(11). Let x = m - -10. Suppose 0 = -3*g - 3*q - x*q + 1214, -5*q = 4*g - 1627. Is g composite? True Let g(i) = -186*i - 739. Let k be g(-4). Let v be 1459 - -1*(-1 - -1). Suppose k*x - 651 = v. Is x a composite number? True Let r = 9429 + 27004. Is r composite? False Let o(y) be the first derivative of 441*y**2/2 - 2*y - 73. Is o(7) prime? False Let o = -300 - -305. Suppose -3*z = -o*b + 70618, -4*b - b + 70611 = 4*z. Is b prime? False Suppose -95*k = -90*k - 150. Let v be ((-224)/(-140))/(4/k). Suppose -5*q = v*q - 112693. Is q a prime number? False Let b = -12114 - -12495. Let q = 34 + 212. Suppose g + q = -a + 615, 5*a + b = g. Is g composite? True Suppose 173*l - 2409312 = 125*l. Is l a composite number? True Is (138047 - -6) + 0/(14 + -6) composite? False Let w be (4/8 - (-2 - 0))*2. Is 341 + (1 - (6 - w)) composite? True Suppose 186 = b - 5*m, m - 659 = -5*b + 167. Let k(w) = -4*w**2 - 6*w - 19. Let a be k(-5). Let g = a + b. Is g prime? False Let z be (-2)/5 - (-137)/5. Let t(g) = 2673*g - 129 + z*g + 128. Is t(1) a prime number? True Let m(h) = 310*h - 12. Let o be 3/(-2)*(-136)/51. Let x be m(o). Suppose -15*f = -11*f - x. Is f a composite number? False Let f = -142 + 156. Suppose -5*w + 17*q = f*q - 18200, 7294 = 2*w - 4*q. Is w prime? True Let i(t) = -38*t**3 + t**2 + 33*t + 23. Suppose 199*z - 24 = 203*z. Is i(z) a composite number? False Suppose -18*h + 21*h = -g + 47188, 2*g + 2*h = 94396. Is g prime? False Suppose -35*p - 544693 + 11989098 = 0. Is p a prime number? True Is (18 - (9 - 0)) + 8544*22 a composite number? True Let s be (-303)/(2 + -5) + -2. Suppose 0 = -3*p - 2*h + 2917, s = -3*p - 5*h + 3022. Is p a prime number? True Let j(r) = r**3 - 14*r**2 - 71*r - 21. Let x be j(22). Let u = x + 3050. Is u a prime number? False Let b = 77836 + 75891. Is b a composite number? True Let c(p) = -48*p**3 + 1730*p**2 - 5*p - 16. Is c(13) a prime number? False Is ((-145)/(-58))/((-5)/(-38554)) prime? False Let x = -135 + 145. Suppose 0*m = -5*m - x, 4*m = -2*o + 5688. Suppose -o - 5080 = -4*a. Is a composite? True Is (-10430609)/(-63) - 4/18 prime? False Is -7 + ((-1366162)/28)/((-2)/8) prime? False Let t(l) = 89*l + 10874. Is t(7) prime? True Let m(g) = g**2 + 8*g + 11. Let q be m(-8). Suppose -16*f + q*f = 400. Let c = f - -117. Is c prime? True Let s be (13970/8)/(-2 + 72/32). Suppose -5*b = -5*a + s, -2*a + 3*b + 2794 = 7*b. Is a a composite number? True Let r = 193430 - -32783. Is r prime? False Let g(l) = 10*l**3 + 2*l**2 + 3*l + 2. Let p be g(-1). Let d = p + -3. Is (-2)/(-6) - (3536/d + 4) composite? True Is (16 - 17)*(1 - (41*4565 - 1)) a composite number? False Let m(i) = -4*i**2 + 26*i - 50. Let a be m(4). Is (2 + (-5 - a))/((-7)/(-16723)) composite? True Let t be (-1)/(-2) - (-4)/(-56)*7. Suppose t = 73*j - 80*j + 13783. Is j a prime number? False Let r(y) = 51429*y**2 - 318*y - 1235. Is r(-4) composite? False Let p be -1 + 5301 - (5 - 7). Suppose p = -2*d + 69976. Suppose 5*z - 14*z = -d. Is z a composite number? False Let q(x) = -2*x**2 + 23*x - 8. Let s be q(11). Suppose u = 2*t + 6, 0*t - 26 = s*u + 5*t. Is 5 + -5 + (100 - u)/2 a prime number? False Suppose -i + 167 = -160. Suppose -1283 = -5*o + i. Is o + (-2 - -4) - -2 a composite number? True Suppose 510887 = 2*h + 969. Is h a composite number? False Let j be 1/(3/12) - (4 + 15212). Let s = 25435 + j. Is s a prime number? True Let s(k) = -k**3 + 4*k**2 + 7*k - 9. Let w(z) = z**2 + 16*z - 63. Let l be w(-19). Is s(l) a prime number? False Let k = 101 + -95. Suppose -3*d = -5*m - 7, -19 = -3*d - m - k. Suppose 1542 = 3*t + 3*y, -d - 11 = 5*y. Is t composite? True Suppose 916*x - 1477960 = 828*x. Is x composite? True Let v be (14/(-6) + 1)/((-4)/6). Suppose c + 2*j + j = 5510, -22082 = -4*c + v*j. Is c prime? True Let o = 181254 - -2224555. Is o prime? False Let v = 112508 + 257195. Is v a prime number? True Let g(f) = 780*f**2 + 14*f - 12. Let u be g(-8). Suppose 0 = 6*q - 166898 + u. Is q a composite number? True Let z be 40316/18 - 12/(-54). Let v be ((-1486)/4)/(3/6). Let r = z + v. Is r a prime number? False Suppose -2*a + 9704 = -3*d, 0 = a - 2*d - d - 4843. Is a a prime number? True Let f(q) be the second derivative of q**6/360 - q**5/12 + 35*q**4/24 - 13*q**3/6 - 5*q. Let z(t) be the second derivative of f(t). Is z(18) a prime number? True Let u be ((-90)/12)/((-6)/4). Is 3/1 - (-2445 - (0 + u)) prime? False Is (-4 + 6)*(0 + -1)/(23/(-7986221)) composite? True Let s = -118685 + 167788. Is s a prime number? True Let m = -25263 - -40100. Is m composite? True Let r = 27 - 23. Let f be r + 1 + -3 + 221. Suppose 2*i - u - f = 566, -3*i + 5*u + 1166 = 0. Is i a prime number? True Let v be 1/((-1)/1*(-3)/324). Let z = v + 850. Is z a prime number? False Suppose 24*p - 256 = 8*p. Let j(c) = -c**3 + 19*c**2 - 17*c + 7. Is j(p) prime? True Is (847820/3)/(146/219)*1/2 composite? True Let h(f) = -5*f + 89. Let z be h(17). Suppose -z*l - 4*g = -10204, -12767 = -9*l + 4*l - g. Is l a composite number? True Suppose -5*v + 4*r + 23 = 0, -13 = -2*v - 3*v - r. Suppose -5*c + 8767 = 4*m - v*m, -c + 1757 = 2*m. Is c a prime number? True Suppose -112*d + 482740 + 14675 = -320969. Is d a prime number? True Is 207742032/504 + ((-2)/(-8) - 10/(-56)) a prime number? True Suppose -860*w = -849*w + 47993. Let h = 20418 - w. Is h composite? False Suppose -5*k = 842 - 1117. Let p be 2077/2 - 2/4. Is (p/10)/(11/k) composite? True Is -33 - 2135/(-65) - 1364822/(-26) a composite number? True Suppose -25*y + 22*y - 24 = 0. Let o be (-3 - -3260)/(-7 - y). Let p = 4656 - o. Is p prime? True Suppose -4*v + 300145 = 3*a, 3*a - 8*v = -9*v + 300160. Is a prime? False Let n be 1*(-65)/10*(-56)/1. Let t = 786 - n. Is t composite? True Suppose -39*k - 15*k + 123*k = 351763863. Is k a composite number? True Suppose -137569 = 42*x - 43*x - 5*v, x - 2*v - 137597 = 0. Is x a composite number? True Suppose -x - 1 = 4*k, -4*k - 1 + 6 = 3*x. Let y = k + 128. Suppose 2*m - 133 = -u, u = -0*u + 4*m + y. Is u composite? False Let b be (-2)/9 + (-48822)/(-27). Suppose 4*x - 2*w - 7250 = 0, 5*x + 2*w = 6*x - b. Is x a prime number? False Suppose 0 = 5*i - f - 743728, 5*i = 6*i + 3*f - 148768. Is i a composite number? False Let f(p) = 16*p**2 - 8*p - 5. Let w = 86 - 78. Let u(k) = k**3 - 9*k**2 + 8*k + 5. Let o be u(w). Is f(o) a composite number? True Let f be 2/4 - (-10)/(-20) - -10. Is f/4*(18976/20 + 12) a prime number? False Suppose 4*o - 3*h = 275750, 6*h - 30 = h. Is o a prime number? False Suppose 4*r = b + 18, -4*b - 28 = r - 6*r. Let d be 397*(r + 0 + -1). Suppose -5*i - 4643 = -4*a, -4*i - 46 = a - d. Is a a prime number? False Let w(g) = g + 1 - 2 + 3 - 4*g**2 + 2195*g**3 + 3117*g**3. Is w(1) prime? False Let s = -49 - -51. Suppose -3*h = 5*x - 0*h - 74618, -5*h = s*x - 29832. Suppose 16557 = 19*d - x. Is d a composite num
{ "pile_set_name": "DM Mathematics" }
*4 + 8*o**3 + 10 - w*o**2 + 128*o. Factor v(q). -2*(q - 4)**3 Let j(n) be the first derivative of -6*n**2 - 21/2*n + 8 - 1/2*n**3. Factor j(w). -3*(w + 1)*(w + 7)/2 Let q(s) be the third derivative of -s**5/180 + 13*s**4/18 - 32*s**3/3 - 1009*s**2. What is p in q(p) = 0? 4, 48 Let g be 7 + (-6)/(-6)*30. Suppose -11*j = -g*j + 52. Determine x so that 4/19 - 10/19*x - 6/19*x**j = 0. -2, 1/3 Let j(c) be the third derivative of -c**6/30 + 8*c**5/5 + 17*c**4/2 + 52*c**3/3 - 2569*c**2. Find q, given that j(q) = 0. -1, 26 Let p(z) = 28*z**3 - 22*z**2 - 72*z + 3. Let q(y) = 57*y**3 - 45*y**2 - 144*y + 3. Let l(i) = -9*p(i) + 5*q(i). Factor l(d). 3*(d - 2)*(d + 1)*(11*d + 2) Let c(k) be the second derivative of -k**6/60 + 113*k**5/40 - 303*k**4/4 + 873*k**3 - 5130*k**2 + 9*k - 12. Suppose c(l) = 0. Calculate l. 6, 95 Suppose 13*r - l - 41 = 0, 35*r - 6*l = 31*r + 98. What is j in -729/4 - 1/4*j**r + 27/2*j = 0? 27 Let b = -197853 + 197855. What is p in -1/5*p**3 + 4/5*p + 0*p**b + 0 = 0? -2, 0, 2 Let n(g) be the third derivative of 0*g + 1/2*g**3 - 92*g**2 + 0 + 1/160*g**6 + 3/8*g**4 - 1/448*g**8 + 11/80*g**5 - 3/280*g**7. Suppose n(d) = 0. Calculate d. -2, -1, 2 Let q(m) = -m**3 - 3*m**2 + 20*m + 15. Let d be q(-6). Suppose -14*k**2 + 11*k**d + 2*k**2 + k**3 - 8*k**3 + 4*k**2 - 12*k = 0. What is k? -1, 0, 3 Let z(b) be the first derivative of -b**6/24 + 3*b**5/5 + 15*b**4/4 + 16*b**3/3 - 716. Factor z(m). -m**2*(m - 16)*(m + 2)**2/4 Let d(k) be the third derivative of -69*k**2 + 0*k**3 + 1/150*k**6 + 0*k**4 + 1/525*k**7 + 0 - 2/75*k**5 + 0*k - 1/1680*k**8. Factor d(y). -y**2*(y - 2)**2*(y + 2)/5 Let q be 38/19 - (0 + -2 - -3). Let l(s) = -s**4 + s**3 + s**2 + s - 1. Let j(m) = -8*m**4 + 8*m**3 + 3*m**2 + 3*m - 3. Let h(n) = q*j(n) - 3*l(n). Factor h(d). -5*d**3*(d - 1) Let n = -2 - -4. Let v be n/2 - (-7 - (-9 - -4)). Factor -6*k - 11*k**v - 23*k**3 + 15*k**2 - 23*k**3 + 45*k**3 + 3*k**4. 3*k*(k - 2)*(k - 1)**2 Factor 0 + 1/10*m**4 + 39/10*m**2 - 27/10*m - 13/10*m**3. m*(m - 9)*(m - 3)*(m - 1)/10 Let j be 436/327 - 7/6. Let r(d) be the second derivative of 0 + 0*d**3 + 14*d + j*d**4 + 0*d**2. Factor r(z). 2*z**2 Factor -4*l**3 + 560*l - 216*l**2 - 23*l**3 - 1492*l**2 + 34*l**3 + 5*l**3 + 1136. 4*(l - 142)*(l - 1)*(3*l + 2) Let x(l) be the first derivative of 4*l**5/5 + 2*l**4 - 164*l**3/3 - 84*l**2 + 315. What is a in x(a) = 0? -7, -1, 0, 6 Let p be (180/40*1/6)/((-20)/(-80)). Let 6/7*j**2 + 2/7*j**p + 0*j + 0 = 0. Calculate j. -3, 0 Find y such that 1778*y**5 - 12*y - 591*y**5 - 594*y**5 + 12*y**2 - 11*y**4 - y**4 - 590*y**5 + 9*y**3 = 0. -1, 0, 1, 2 Let x = -4996 - -4998. Let d(q) be the first derivative of 2/27*q**3 + 50/9*q + x - 10/9*q**2. Factor d(s). 2*(s - 5)**2/9 Suppose -8/3*j**2 + 16*j + 1/6*j**5 + 56/3 - 14/3*j**3 - 1/2*j**4 = 0. What is j? -2, 2, 7 Let i(c) be the first derivative of -c**3/7 - 2433*c**2/14 + 4878*c/7 + 7301. Factor i(p). -3*(p - 2)*(p + 813)/7 Factor -154 + 139*x**2 - 100*x**3 + 10 - 214*x**2 - 661*x**2 - 84*x**2 + 704*x. -4*(x + 9)*(5*x - 2)**2 Let f(z) be the third derivative of z**7/1050 - 49*z**6/200 + 558*z**5/25 - 22103*z**4/30 - 2*z**2 - 39*z + 108. Factor f(g). g*(g - 62)**2*(g - 23)/5 Let t = -39003/2 - -19502. Let f(q) be the first derivative of 1/3*q**6 - t*q**4 + 0*q + 34 + 0*q**2 + 4/5*q**5 - 4/3*q**3. Let f(h) = 0. Calculate h. -2, -1, 0, 1 Let h be (20/(-6) + 0)/((-10)/(-60)). Let r = h + 23. Suppose -27*v**4 + 9*v**4 - r*v + 7*v**4 - 18*v**3 - 12*v**2 - v**4 - 3*v**5 = 0. What is v? -1, 0 Let g(t) = 8*t - 167. Let w be g(20). Let v be 4/(-28) - 1/w. Factor -2/5*y**2 + 2/5*y**5 - 6/5*y**4 + 0 + v*y + 6/5*y**3. 2*y**2*(y - 1)**3/5 Factor -640/3 - 4/3*v**2 - 328/3*v. -4*(v + 2)*(v + 80)/3 Let o(r) be the first derivative of -3*r**4/4 + 8*r**3 - 33*r**2/2 - 60*r - 250. Factor o(h). -3*(h - 5)*(h - 4)*(h + 1) Let o(c) = -16*c**3 - 95*c**2 - 60*c - 11. Let u(a) = 3*a**3 + 18*a**2 + 12*a + 2. Let l(q) = 10*o(q) + 55*u(q). Suppose l(d) = 0. What is d? -6, -2, 0 Let j(i) = -i**2 + 2*i + 11. Let r be j(-2). Find g such that -54 - 27 - r*g**2 + 31*g - 67*g = 0. -9, -3 Let x(n) = -17*n**2 + 4253*n - 903113. Let a(d) = 140*d**2 - 34025*d + 7224900. Let f(u) = -3*a(u) - 25*x(u). Solve f(v) = 0 for v. 425 Let r(f) be the second derivative of 4/3*f**3 + 9/2*f**2 - 1/12*f**4 - 44*f + 0. Factor r(x). -(x - 9)*(x + 1) Let p(g) be the third derivative of -g**7/105 + g**6/6 - 2*g**2 + 1126*g. Factor p(s). -2*s**3*(s - 10) Factor 2072*n + 0*n**2 + 2*n - 76*n + 1886*n - 4*n**2. -4*n*(n - 971) Let x(o) = -195*o + 784. Let m be x(4). Let f be ((-3)/(-6))/((-1)/(-32)). Factor -f*p**2 + 56*p - m*p**3 - 42 - 12*p + 18. -4*(p - 1)**2*(p + 6) Let j(h) be the first derivative of -h**4/4 - 181*h**3 - 73983*h**2/2 - 73441*h - 4602. Find b, given that j(b) = 0. -271, -1 Let i(f) = 18*f + 3. Let c(a) = 17*a - 153. Let m be c(9). Let z be i(m). Factor -21/5*y**2 - 3/5*y**z - 24/5*y + 48/5. -3*(y - 1)*(y + 4)**2/5 Let t(i) be the first derivative of -3/2*i**6 + 8*i**3 + 0*i**2 + 0*i - 111 - 27/2*i**4 - 51/5*i**5. Suppose t(k) = 0. Calculate k. -4, -2, 0, 1/3 Let f = -1615794 - -1615799. Suppose 1221*y**3 + 2544*y**2 - 279*y**4 + 27/2*y**f + 363 - 4125/2*y = 0. What is y? -2, 1/3, 11 Let x(v) be the third derivative of 0 + 7*v - 11/36*v**4 + 4*v**2 - 2/9*v**3 - 19/180*v**5 - 1/80*v**6. Suppose x(j) = 0. What is j? -2, -2/9 Let t be 8 - 2 - (-1246)/(-210). Let j(m) be the first derivative of -2/5*m**2 + 4/5*m + t*m**3 + 1. Determine x, given that j(x) = 0. 2 Suppose 123*w = 64*w - 30444. Let c be 29/(-8) - w/129. Factor -c*s**5 + 0 + 0*s + 0*s**2 + 0*s**4 + 3/8*s**3. -3*s**3*(s - 1)*(s + 1)/8 Factor -28*n + 1/2*n**4 + 71/2*n**2 - 8*n**3 + 0. n*(n - 8)*(n - 7)*(n - 1)/2 Let -2/15*j**4 + 2/15*j**5 - 34/15*j**3 + 8/3 + 106/15*j**2 - 112/15*j = 0. What is j? -5, 1, 2 Let u = 42595/8 + -5324. Let w(c) be the first derivative of 3*c + 3/4*c**2 - c**3 - u*c**4 + 10. Factor w(o). -3*(o - 1)*(o + 1)*(o + 2)/2 Let s(t) be the first derivative of -t**4/6 - 16*t**3/3 - 28*t**2 - 46*t - 60. Let k(n) be the first derivative of s(n). Factor k(u). -2*(u + 2)*(u + 14) Suppose -6*l + 84 = l. Factor l*x**2 + 24*x - 25*x**2 + 28 + 9*x**2. -4*(x - 7)*(x + 1) Let f(p) be the second derivative of 15/2*p**3 + 1 - 11*p + 35/12*p**4 + 5*p**2. Find r such that f(r) = 0. -1, -2/7 Let d(l) be the second derivative of -l**6/60 - 93*l**5/10 - 185*l**4/12 + 31*l**3 + 371*l**2/4 + 1323*l - 1. Solve d(v) = 0 for v. -371, -1, 1 Let d = 1393 + -1389. Suppose d*j - 10 = -o - 18, 5*o - 3*j - 29 = 0. Factor 24/5*c - 4/5*c**2 - o. -4*(c - 5)*(c - 1)/5 Let k = 115 - 67. Factor -k*g + 9*g + 3*g**3 + 15*g**2 + 56 - 35. 3*(g - 1)**2*(g + 7) Factor 66*l**2 + 0 - 118/9*l**3 - 20/9*l. -2*l*(l - 5)*(59*l - 2)/9 Suppose 78*t - 15*t = -147*t + 420. Let d(r) be the first derivative of 84/13*r**3 - 49/26*r**4 - 60/13*r**t + 16/13*r + 22. Factor d(j). -2*(j - 2)*(7*j - 2)**2/13 Let q be (20818/1813 - 78/1443)/(2/2). Factor 32/7*o - 4/7*o**2 + q. -4*(o - 10)*(o + 2)/7 Factor -2/9*v**2 + 530/9*v + 0. -2*v*(v - 265)/9 Let u(x) = 13*x**4 + 3*x**3 - 13*x**2 + 17*x - 8. Let q(m) = 3*m**4 + m**3 - 2*m + 1. Let v(p) = -4*q(p) + u(p). Factor v(k). (k - 3)*(k - 1)**2*(k + 4) Let y(p) = -3*p**3 + 807*p**2 + 21. Let k(d) = -d**3 + 404*d**2 + 12. Let u(m) = -7*k(m) + 4*y(m). What is s in u(s) = 0? 0, 80 Let l(g) = g + 7 - 1 + 8. Let v be l(-11). Let o(q) = -6*q**3 - 6*q**2 + 9*q. Let k(i) = -i**4 + 6*i**3 + 5*i**2 - 8*i. Let b(a) = v*k(a) + 2*o(a). Factor b(c). -3*c*(c - 2)*(c - 1)*(c + 1) Suppose -c + 19 = -4*l, -c - 4*l - 7 = 6. Suppose -q - 2*q + 12 = -c*t, 0 = q + 2*t + 2. Solve -z - q*z**4 - z**2 + 3*z**4 + 5*z**3 - 4*z**3 = 0. -1, 0, 1 Determine z, given that -25/4*z**2 - 1/4*z**3 - 143/4 - 167/4*z = 0. -13, -11, -1 Factor -3/8*d**3 + 441/8 + 435/8*d**2 + 879/8*d. -3*(d - 147)*(d + 1)**2/8 Let v be 48/128 + 27/(-72). Let i(h) be the first derivative of v*h**2 - 23 + 0*h + 1/28*h**4 - 1/21*h**3. Factor i(o). o**2*(o - 1)/7 Let z(f) be the second derivative of -f**5/30 + 7*f**4/4 - 20*f**3/3 + 57*f**2 + 96*f. Let m(x) be the first derivative of z(x). Factor m(y). -2*(y - 20)*(y - 1) Let j(i) = i**2 - 12*i + 45. Let t be j(7). Factor 25 - 2*s**3 - 3*s**3 + t*s - 25 + 5*s**2. -5*s*(s - 2)*(s + 1) Facto
{ "pile_set_name": "DM Mathematics" }
r) wrt r. 5878 Let a be 3/1 - (-60)/30. Find the second derivative of 14*k**5 + 4 + 7*k**5 - 4*k - 6*k + 27*k**a wrt k. 960*k**3 Differentiate -1875 - 619*c**2 + 361*c**2 - 1558*c**4 - 266*c**4 + 258*c**2 with respect to c. -7296*c**3 Let n be (0 + 3/(-5))*(-3 + 8). Let l be ((-80)/(-60))/((-2)/n - 0). Find the third derivative of -12*t**l + 52*t**6 + 0*t**4 + 0*t**4 - 59*t**6 wrt t. -840*t**3 Let r(x) be the second derivative of 3003*x**5/20 - x**4/6 - 67*x**3/6 + x**2/2 - 6784*x. Find the third derivative of r(s) wrt s. 18018 Let b(z) = 4*z**2 - 29*z + 10. Let m be b(7). Let y be (4/(-8))/((-2)/12). What is the second derivative of y*x**3 - x**3 - 21*x - 6*x**3 + x**m wrt x? -18*x Find the third derivative of -7253*q**2 + 21*q + q**5 - 14*q**3 - 4729*q**4 - 21*q + 4610*q**4 wrt q. 60*q**2 - 2856*q - 84 Differentiate 628*x**4 + 899*x**4 - 179*x**4 + 8 wrt x. 5392*x**3 What is the second derivative of 81*v**3 - 242*v**2 + 2*v + 3142 + 308 - 16*v**3 + 183*v**2 + 63*v**3 wrt v? 768*v - 118 Let u(y) = -y**3 - 18*y**2 + 14*y - 30. Let d be u(-19). Let c = d - 65. What is the derivative of c*v**4 + 4*v**4 + 9 - 19*v**4 wrt v? -60*v**3 Let s(y) be the third derivative of 0*y - 1/40*y**6 - 73/6*y**3 + 0 + 0*y**5 + 0*y**4 - 1/105*y**7 + 43*y**2. What is the first derivative of s(i) wrt i? -8*i**3 - 9*i**2 Let q(w) be the second derivative of 3*w**6/2 + 5*w**4/12 + w**3/3 - 7727*w**2/2 - w + 2263. What is the derivative of q(p) wrt p? 180*p**3 + 10*p + 2 Let o(n) = 5627*n**4 - 5*n**3 + 633*n - 2. Let l(a) = 2811*a**4 - 3*a**3 + 316*a - 1. Let r(y) = -5*l(y) + 3*o(y). What is the second derivative of r(v) wrt v? 33912*v**2 Let s(i) be the second derivative of -386*i**6/15 - i**4/12 + 16*i**3/3 + 6*i**2 + 628*i. Find the second derivative of s(r) wrt r. -9264*r**2 - 2 Suppose -4*m - 12 = -2*n, 5*n - 2*m = -3*m + 30. Let q = n - 0. What is the first derivative of q*s - 9*s - 15*s + 8 - 21 wrt s? -18 Find the second derivative of 24*f**3 + 3*f + f**5 + 14*f**2 + 59*f**3 - 173*f**3 - 984 + 19*f**3 wrt f. 20*f**3 - 426*f + 28 Let b = 2188 - 640. Differentiate 1439 - 37*m - 28*m - b wrt m. -65 Let a(k) be the second derivative of 365*k**7/42 - 179*k**3/2 + 3*k**2/2 + 1194*k. Find the second derivative of a(x) wrt x. 7300*x**3 Let q be -3 + 1 + 4 - (-2 + -1). Let n be q*(1 + 0)*6/5. What is the first derivative of -22*p + 4 - 13 + 0 - n wrt p? -22 Let v(j) be the second derivative of j**5/10 + 35*j**4/4 - j**3/6 - 7203*j**2/2 - 7521*j. Differentiate v(s) wrt s. 6*s**2 + 210*s - 1 Let r = -16 - -42. Let s = r + -20. What is the derivative of 314 + s*a + 22*a - 306 - 6*a wrt a? 22 Let m(n) be the second derivative of 475*n**7/3 - 3*n**3/2 - 55*n**2/2 + 1574*n + 1. Find the second derivative of m(w) wrt w. 133000*w**3 Let j(f) = 176*f**2 + 103. Suppose -5*o = t - 14, -t = o + 3*t + 1. Let m(r) = 58*r**2 + 34. Let p(a) = o*j(a) - 8*m(a). Differentiate p(c) wrt c. 128*c Let u = 141 + -66. Find the second derivative of 33*z - 41*z - 52*z - 53*z + u*z**2 wrt z. 150 Let q = -156 + 108. Let d = -46 - q. What is the derivative of n - 4*n - n + 19 - d*n wrt n? -6 What is the third derivative of -1467*h**2 - 2808*h**5 - 5040*h**5 - 56550*h + 56550*h + 209*h**5 wrt h? -458340*h**2 Let r(m) be the first derivative of -84*m**5/5 + 1048*m + 33. What is the derivative of r(i) wrt i? -336*i**3 Let v(j) be the second derivative of 436*j**7/3 + 61*j**4/4 + 19*j**2/2 + 5*j + 18. What is the third derivative of v(a) wrt a? 366240*a**2 Find the third derivative of -752*d**4 + 14 - 168 + 2*d**3 - d**5 - 91 - d**2 + 51 - 2*d wrt d. -60*d**2 - 18048*d + 12 Let t(g) be the third derivative of -131*g**8/336 + g**5/60 - 512*g**3/3 + 3405*g**2. What is the third derivative of t(j) wrt j? -7860*j**2 Suppose -28 = 3*f + 2. Let x be (12/f)/(9/(-30)). What is the first derivative of -x + 4 - 17*g + 24 wrt g? -17 Let i(t) = 9*t**3 + 5*t**2 + 70*t - 3424. Let p(y) = 4*y**3 + 3*y**2 + 35*y - 1712. Let h(l) = -3*i(l) + 5*p(l). Differentiate h(w) with respect to w. -21*w**2 - 35 Let g(u) = -2*u**4 + 6*u**3 - 26*u**2 + 743. Let a(c) = c**4 - 5*c**3 + 27*c**2 - 744. Let r(i) = 6*a(i) + 5*g(i). Find the first derivative of r(q) wrt q. -16*q**3 + 64*q Let l(a) = a + 123. Let h be l(25). What is the second derivative of -243*i + 186*i**3 + h*i**3 + 186*i**3 - 564*i**3 wrt i? -264*i Let r(m) be the first derivative of -25*m**6 + m**4/4 - m**2 - 1265*m - 2048. What is the second derivative of r(o) wrt o? -3000*o**3 + 6*o Suppose -14*z + 19*z - 5 = 0. Let g(u) = 59*u**2 + 6*u - 1. Let p(h) = h**2 - 1. Let j(o) = z*p(o) + g(o). Find the second derivative of j(w) wrt w. 120 Let l(p) = 12*p**2 - 5*p + 93 - 8*p**2 - 4*p**3 - 11. Let m(w) = -w**3 - w + 1. Let f(i) = l(i) - 5*m(i). Differentiate f(q) with respect to q. 3*q**2 + 8*q Let f(v) = -5215*v + 5471. Let w(u) = 1741*u - 1823. Let k(c) = 3*f(c) + 10*w(c). Differentiate k(h) with respect to h. 1765 Let z(s) = 841*s**2 - 6*s + 1327. Let n(m) = m**2 - 2*m + 2. Let u(d) = -6*n(d) + 2*z(d). Differentiate u(y) wrt y. 3352*y Let u be 18*2/((-30)/(-395)). Suppose 3*b - 5*b + 257 = 3*o, -u = -4*b + 2*o. What is the second derivative of 28*j + b*j**5 - 2*j**2 + 2*j**2 - 112*j**5 wrt j? 180*j**3 Suppose 532 = 46*v + 220*v. Let u(h) be the first derivative of -16*h + 0*h**v - 9 - 19/4*h**4 + 0*h**3. What is the derivative of u(d) wrt d? -57*d**2 Let f(x) be the second derivative of 0*x**3 - 97/12*x**4 - 13/30*x**6 + 0 + 0*x**2 - 95*x + 0*x**5. What is the third derivative of f(b) wrt b? -312*b Let i be -1 - -3 - 4 - 2 - 1. Let q be 2*(i + (-75)/(-10)). What is the derivative of -14*f**4 - 19*f**4 - q + 16 wrt f? -132*f**3 Let s(d) be the first derivative of 60 + 0*d**2 - 50/3*d**3 + 0*d + 153/4*d**4. What is the third derivative of s(u) wrt u? 918 Suppose -3*h - h + 100 = 0. Suppose 3*y - h = 32. Find the third derivative of 11*g**5 + y*g**2 + 2*g**3 - 55*g**2 - 2*g**3 wrt g. 660*g**2 Let z(s) = -1182*s**3 + 831. Let m(i) = 8275*i**3 - 5816. Let n(t) = 2*m(t) + 15*z(t). What is the first derivative of n(x) wrt x? -3540*x**2 Suppose 45 + 9 = 9*n. What is the second derivative of 28*i - 16*i + n*i + 46*i**4 wrt i? 552*i**2 Let o = 6289/2 + -3139. Let z(r) be the first derivative of -7*r**3 + 0*r - o*r**2 - 17. What is the second derivative of z(k) wrt k? -42 Let d(s) = -13*s**2 - s + 2. Let u be d(0). Find the third derivative of -60*o**2 - 18 - 61*o**2 - 22 - 38*o**5 + 119*o**u wrt o. -2280*o**2 Let l(s) be the third derivative of 121*s**5/12 - 333*s**3/2 - 7*s**2 + 112. Differentiate l(t) with respect to t. 1210*t Find the second derivative of 19909*w**4 + 4*w**3 + 63 - 7*w + 19913*w**4 - 4*w**2 + 2*w**3 - 39821*w**4 wrt w. 12*w**2 + 36*w - 8 Let n(b) = -b + 1. Let h(o) = 8*o**2 - 5*o + 2. Let j be ((-4 - -10)/(-6))/(-1). Let l(z) = j*h(z) - 6*n(z). Find the second derivative of l(p) wrt p. 16 Let a(s) = 220*s**4 + 3*s**2 - 4*s + 16. Let j(p) = -437*p**4 - 7*p**2 + 9*p - 33. Let t(n) = -7*a(n) - 3*j(n). What is the second derivative of t(b) wrt b? -2748*b**2 Let q(l) be the third derivative of -6*l**7/35 - l**6/30 + l**4/24 - 3433*l**3/2 - 40*l**2 - 8*l + 4. What is the derivative of q(t) wrt t? -144*t**3 - 12*t**2 + 1 Let k(d) = -271*d**3 + 6*d**2 + 654*d - 3. Let t(b) = 539*b**3 - 10*b**2 - 1309*b + 5. Let s(i) = 5*k(i) + 3*t(i). What is the second derivative of s(p) wrt p? 1572*p Find the third derivative of 10677*a**2 - 4*a**3 - 300*a**4 - 9*a**3 + 8*a**3 - 5*a**3 wrt a. -7200*a - 60 Let z(x) be the second derivative of -x**7/21 - 771*x**5/20 + 4463*x**4/12 + x + 512. What is the third derivative of z(y) wrt y? -120*y**2 - 4626 Let c(u) = -257*u**2 + 286. Let w(v) be the first derivative of -86*v**3/3 + 95*v + 58. Let i(m) = 6*c(m) - 17*w(m). Differentiate i(r) wrt r. -160*r Find the third derivative of -1759*b**6 - 1358*b**2 + 389157*b**3 - 389157*b**3 wrt b. -211080*b**3 Let c be 72/3*10/15. Suppose -c = -4*q, -4*q + 11 = -j - 1. Differentiate -2 + 7 - 10*k**j - 13*k**4 - 7*k**4 with respect to k. -120*k**3 Let k(x) be the second derivative of -37*x**5/4 - 688*x**3/3 - 1982*x. Find the second derivative of k(s) wrt s. -1110*s Let c = 227 - 198. Find the first derivative of 43*g + 32*g**3 - c + 38*g - 80*g wrt g. 96*g**2 + 1 Let s(r) be the third derivative
{ "pile_set_name": "DM Mathematics" }
6*r Collect the terms in 41690335 - 41690335 + 2*i. 2*i Collect the terms in 92898*s**3 - 5 + 5. 92898*s**3 Collect the terms in 405*k**3 + 255 + 258 - 516. 405*k**3 - 3 Collect the terms in -247 + 256 - 6*x + 7*x. x + 9 Collect the terms in 76*f**2 - 2449*f**2 - 481*f**2 - 77*f**2. -2931*f**2 Collect the terms in -8398*q + 16795*q + 38*q**2 - 8397*q. 38*q**2 Collect the terms in 90*g**3 + 116*g**3 - 323*g**3 + 98*g**3. -19*g**3 Collect the terms in -2*f + 47*f**3 + 70*f**2 - 70*f**2 - 42*f**3 + 2*f. 5*f**3 Collect the terms in 4660*g**3 - 4595*g**3 - 1 + 1. 65*g**3 Collect the terms in -18*r - 100794 + 100794 + 2*r**2. 2*r**2 - 18*r Collect the terms in 2769*o**2 + 2922*o**2 - 5695*o**2. -4*o**2 Collect the terms in -8*b + 19*b + 22*b - b. 32*b Collect the terms in -25*o - 20*o - 14*o - 15*o + 75*o. o Collect the terms in 372 + 89*o - 36*o - 372 - 51*o. 2*o Collect the terms in 51*a - 1104*a**3 - 1107*a**3 + 2212*a**3. a**3 + 51*a Collect the terms in 52 - 107 - 116 + 19 + 2*v. 2*v - 152 Collect the terms in 53*l**2 + 49*l**2 + l**2 - 43*l**2. 60*l**2 Collect the terms in -25980 + 25980 + 73*s**3. 73*s**3 Collect the terms in -35*w**2 + 56*w**2 - 289*w**2. -268*w**2 Collect the terms in -593*f - 616*f + 1172*f. -37*f Collect the terms in 188 + 11*h + 347 - 54 + 15. 11*h + 496 Collect the terms in -9 + 9 - 9027*a + 9024*a. -3*a Collect the terms in -a - 2*a + 9*a + 22460. 6*a + 22460 Collect the terms in -6 - 14*n + 15*n - 6 - 256*n**3. -256*n**3 + n - 12 Collect the terms in -61542*l**2 + 61542*l**2 + 2*l**3. 2*l**3 Collect the terms in 1398*f + 2070*f - 10*f**2 + 12*f**2. 2*f**2 + 3468*f Collect the terms in -1 + 6399*z**2 + 0 + 686*z**2. 7085*z**2 - 1 Collect the terms in -450198*b**3 + 900384*b**3 - 450194*b**3. -8*b**3 Collect the terms in 29663*x**2 - 58899*x**2 + 29234*x**2. -2*x**2 Collect the terms in 94*d**2 - 193*d**2 + 86*d**2. -13*d**2 Collect the terms in 474*l**3 + 468*l**3 - 1412*l**3 + 476*l**3. 6*l**3 Collect the terms in 73*f - 12*f - 23*f - 25*f - 17*f. -4*f Collect the terms in -14583 + 87*x + 14583. 87*x Collect the terms in 9 + 5 + 10*v**2 - 14 - 16*v**2. -6*v**2 Collect the terms in 10300*l - 5155*l - l**2 - 5145*l. -l**2 Collect the terms in -341*f**2 + 74*f**2 - 27*f**2 - 28*f + 27*f. -294*f**2 - f Collect the terms in -440*c**3 + 10*c**2 - 3*c**2 - 7*c**2 + 94*c**3. -346*c**3 Collect the terms in n + 3155*n**2 - 208*n**2 - n. 2947*n**2 Collect the terms in 22*t**2 - 9*t - 40*t**2 + 13*t**2 + 23*t**2. 18*t**2 - 9*t Collect the terms in 5*a + 16 - 3 - a + 0 - 8. 4*a + 5 Collect the terms in -2159*k - 4 - 7 + 11 + 2162*k. 3*k Collect the terms in -5*f**2 - 37*f + 83*f - 55*f. -5*f**2 - 9*f Collect the terms in -26 - 423*d**3 + 26 - 2280*d**3. -2703*d**3 Collect the terms in -19089*z**2 - 1148*z**3 + 19089*z**2. -1148*z**3 Collect the terms in 17 + 19 - 146470603*h + 146470604*h. h + 36 Collect the terms in -122*x**2 - 176*x**2 - 27*x**2 + 67*x**2 - 267*x**2. -525*x**2 Collect the terms in -26*z**2 - 198858*z + 198858*z. -26*z**2 Collect the terms in 21*i**3 - 43*i**3 + 46*i**3 - 3. 24*i**3 - 3 Collect the terms in -1 - 19 - 40*d**3 + 45 - 25. -40*d**3 Collect the terms in 965 - 965 + 39*x**3 + 45*x**3 - 86*x**3. -2*x**3 Collect the terms in 16*n**3 + 6*n**3 + 662 - 662 - 9*n**3. 13*n**3 Collect the terms in p**3 - 15274*p + 15274*p - 6*p**3. -5*p**3 Collect the terms in -3*s**2 - 5 + 4 - 4*s + 11 + 10*s**2. 7*s**2 - 4*s + 10 Collect the terms in -5*y + 66216 - 66216. -5*y Collect the terms in 4*b**2 - 3*b**2 - 470*b**3 - b**2 + 239*b**3 + 234*b**3. 3*b**3 Collect the terms in -3*s**3 + 2*s**3 + 100*s**3 + 77*s**3. 176*s**3 Collect the terms in 1602*w**3 - 751*w**3 - 609*w**3. 242*w**3 Collect the terms in -7 + 7 - 285*h + 295*h. 10*h Collect the terms in -4*g + 4*g + 280395*g**3 - 280409*g**3 - 2. -14*g**3 - 2 Collect the terms in 2*n**3 + 993*n + 0 + 3 + 1489*n. 2*n**3 + 2482*n + 3 Collect the terms in 723*l**3 - 237*l**3 - 253*l**3 - 236*l**3. -3*l**3 Collect the terms in -843*x**3 + 331*x**3 + 411*x**3. -101*x**3 Collect the terms in 7*s**2 + 11*s**2 - 12*s**2 - 6*s + 24*s**2. 30*s**2 - 6*s Collect the terms in -10 - n + 12*n + 7*n. 18*n - 10 Collect the terms in 2*d**3 - 49847138 + 49847138. 2*d**3 Collect the terms in -45*i**2 + 98*i**2 + 59*i**2 + 24*i**2 + 74*i**2. 210*i**2 Collect the terms in 253 + 2*x + 255 - 1073 + 284 + 260. 2*x - 21 Collect the terms in 6 + 4 - y**2 - 6*y + 31*y + 0*y**2. -y**2 + 25*y + 10 Collect the terms in -8*c**2 + 20*c**2 + c**3 - 17*c**2 + 8*c - 8*c**2 + 13*c**2. c**3 + 8*c Collect the terms in -30091601*u + 30091601*u + 49*u**2. 49*u**2 Collect the terms in -23536*s - 23539*s + 3 + 4*s**3 + 47075*s. 4*s**3 + 3 Collect the terms in 21784126192 - 21784126192 - 12*q. -12*q Collect the terms in -4136 + 16860*n + 4136. 16860*n Collect the terms in -17*h**3 - 130*h**2 + 254*h**2 - 124*h**2. -17*h**3 Collect the terms in 346 - 3*u + 286 - 4*u + 418. -7*u + 1050 Collect the terms in 2*w - 5*w - 57435 - 36*w + 57437. -39*w + 2 Collect the terms in -3076 - 3080 + 6156 - 2*i - 61*i**2. -61*i**2 - 2*i Collect the terms in -28*j + 78*j + 76*j**2 - 29*j - 21*j. 76*j**2 Collect the terms in -856*n + 399*n + 456*n. -n Collect the terms in -285*a + 2*a**2 - 307*a + 592*a + 0*a**2. 2*a**2 Collect the terms in -15 - 9523*a**3 - 20 + 9519*a**3. -4*a**3 - 35 Collect the terms in 795*c**3 + 40*c**2 - 790*c**3 - 40*c**2. 5*c**3 Collect the terms in -3629833*c + 3629833*c + c**2. c**2 Collect the terms in -4186 - d - 4196 + 8382 + 48*d. 47*d Collect the terms in -91351*w**2 + 45699*w**2 + 45691*w**2. 39*w**2 Collect the terms in -12*q + 12*q + 532*q**2 - 270*q**2 - 265*q**2. -3*q**2 Collect the terms in -34*w - 3*w - 17*w + 88*w - 19*w. 15*w Collect the terms in 4*q + 104*q - 124*q + 4*q + 4*q + 10*q. 2*q Collect the terms in 16 - 16 - 3*w**2 + 26*w - 29*w. -3*w**2 - 3*w Collect the terms in -791*w**2 + 916*w**2 + 0*w + 2*w + 2651*w**2. 2776*w**2 + 2*w Collect the terms in -10616*l + 5298*l + 5334*l. 16*l Collect the terms in 29*f - 23*f + 40*f. 46*f Collect the terms in -375*i - 16445*i**3 + 375*i - 4314*i**3. -20759*i**3 Collect the terms in 11*a - 33*a + 11*a - 6 + 6*a. -5*a - 6 Collect the terms in -1343*o - 1307*o + 2664*o. 14*o Collect the terms in 8*z - 7 - 7 + 3*z**2 - 10*z. 3*z**2 - 2*z - 14 Collect the terms in -110083*k**3 + 110034*k**3 + 3 - 3. -49*k**3 Collect the terms in -2645*q**3 + 5281*q**3 - 2640*q**3. -4*q**3 Collect the terms in 110 - 237 - 29*m + 130. -29*m + 3 Collect the terms in 54599 - 54599 + 265*w. 265*w Collect the terms in q**2 - 6*q**2 - 8*q**2 + 42 + 14*q**2. q**2 + 42 Collect the terms in -2 - 1 + 0 + 2*k**3 - 3*k**3. -k**3 - 3 Collect the terms in 0*g**2 + 51*g - 49*g + 9*g**2. 9*g**2 + 2*g Collect the terms in -4449*m**3 + 22*m**3 - 3171*m**3. -7598*m**3 Collect the terms in -74 + 23 + 33 - o**2 + 18. -o**2 Collect the terms in 18*c - 24*c + 2*c + 8*c - 2*c - c. c Collect the terms in 4*t - 23*t + 2*t - 6*t + 10*t. -13*t Collect the terms in -828 + 28*s - 825 + 1653. 28*s Collect the terms in 9380*q + 9449*q - 18628*q. 201*q Collect the terms in 0 + 0 + 0 - 368*m**2. -368*m**2 Collect the terms in 366146*t + 366128*t - 1098420*t + 366148*t. 2*t Collect the terms in -43258*l**2 + 43260*l**2 - 1354 + 1354. 2*l**2 Collect the terms in -103*x**2 + 99*x**2 - 4*x - 7*x + x. -4*x**2 - 10*x Collect the terms in 72 + 18706*t**3 - 72. 18706*t**3 Collect the terms in 272*c - 128*c - 30*c**2 + 15*c**2 - 144*c. -15*c**2 Collect the terms in -324*i**3 + 975*i**3 - 331*i**3 - 323*i**3. -3*i**3 Collect the terms in -4*q**3 + 5*q**3 - 25 + 5*q**3 - 99. 6*q**3 - 124 Collect the terms in 288*c**3 + 329*c**3 + 181*c**3 - 202*c**3. 596*c**3 Collect the terms in -2552 + 2552 + 278*g**2 + 862*g**2. 1140*g**2 Collect the terms in -11*v**2 + 47*v**2 - 17*v**2 - 7*v**2 - 16*v**2. -4*v**2 Collect the terms in -25*w - 125*w - 396*w. -546*w Collect the terms in -160*n + 0 + 0 + 108*n - 147*n. -199*n Collect the terms in 46*a + 66*a - 205*a. -93*a Collect the terms in -46*f**2 + 3*f**2 - f**2. -44*f**2 Collect the terms in -85*p - 18*p - 36*p - 79*p + 47*p. -171*p Collect the terms in 158*o**3 - 1401*o**3 - 2*o + 2*o. -1243*o**3 Collect the terms in 87*p + 61*p + 87*p - 258*p + 67*p. 44*p Collect
{ "pile_set_name": "DM Mathematics" }
n) = k(n) - 4*q(n). Solve w(z) = 0 for z. -1, 5 Let k be (-26)/5 - -14*(-11)/(-22). Solve -9/5*g**3 - 21/5*g**2 + k*g + 3*g**4 + 6/5 = 0. -1, -2/5, 1 Let c(j) be the third derivative of -j**6/660 + j**5/30 + 7*j**4/22 + 394*j**2. Determine w so that c(w) = 0. -3, 0, 14 Let z(j) = -16*j**5 - 150*j**4 + 37*j**3 - 9*j**2 - 9*j + 9. Let g(f) = -f**5 + f**4 - f**3 - f**2 - f + 1. Let v(x) = 36*g(x) - 4*z(x). Factor v(o). 4*o**3*(o + 23)*(7*o - 2) Let c = -410 + 596. Factor 2*k**3 - 5*k - k - c + 190. 2*(k - 1)**2*(k + 2) Suppose 0 + 10/3*w**2 - 5/2*w - 5/6*w**3 = 0. What is w? 0, 1, 3 Let a be 18/(-5)*(-4 + 9) + -1. Let z = a + 22. Factor -d**2 + 1 - 1/2*d + 1/2*d**z. (d - 2)*(d - 1)*(d + 1)/2 Let w(p) be the first derivative of 4*p**5/5 + 8*p**4 + 88*p**3/3 + 48*p**2 + 36*p - 53. Factor w(x). 4*(x + 1)**2*(x + 3)**2 Let i(m) be the first derivative of -m**4/32 - m**3/8 + 9*m**2/16 - 19*m - 12. Let u(t) be the first derivative of i(t). Factor u(y). -3*(y - 1)*(y + 3)/8 Let x be ((-6)/4)/((-15)/10). Let s(q) be the first derivative of 1/4*q**3 - 3/4*q**2 - 9/4*q + x. Factor s(m). 3*(m - 3)*(m + 1)/4 Let -6*h - 15*h**2 + 0*h**2 - 5*h**3 - 12*h**2 + 17*h**2 + h = 0. Calculate h. -1, 0 Let q(d) be the third derivative of -1/20*d**5 + 0*d - 12*d**2 - 1/4*d**4 + 0 + 3/2*d**3. Solve q(i) = 0 for i. -3, 1 Let k = 9356/10539 - -4/3513. Let h be (4/6)/((-2)/(-9)). Factor -k*n + 2/9*n**h + 0*n**2 + 0. 2*n*(n - 2)*(n + 2)/9 Suppose -17*z + 16*z - j + 6 = 0, -z - 3*j + 6 = 0. Let b be z*(-6)/441*(-7)/2. Determine h so that -b*h**2 + 2/7 + 0*h = 0. -1, 1 Suppose -26*v - 71 = -383. Suppose -2*h + 49 = 3. Factor -v*a**3 + 2*a**5 - 3*a**4 + h*a**3 - 6*a**5 - 10*a**3. -a**3*(a + 1)*(4*a - 1) Let f = 408 + -7748/19. Determine d so that 8/19 + 40/19*d + 42/19*d**2 - f*d**3 - 14/19*d**4 = 0. -1, -2/7, 2 Let k be (-6)/1 + 2 + -1 + 9. Suppose 20 = 4*f + 2*t, -k*f - 8 = -0*f - 5*t. Factor 0*z**3 + 3/2*z**5 - f*z**4 + 0 + 3*z**2 - 3/2*z. 3*z*(z - 1)**3*(z + 1)/2 Let n(h) be the second derivative of h**4/54 + 23*h**3/27 + 15*h + 3. Let n(y) = 0. What is y? -23, 0 Factor 13 - v**3 - 13*v**2 - 29*v + 63*v - 33*v. -(v - 1)*(v + 1)*(v + 13) Let l(v) = -v**3 - v. Let n(c) = -2*c**4 - 14*c**3 + 8*c**2 - 4*c. Let z(a) = 12*l(a) - n(a). Factor z(m). 2*m*(m - 2)*(m + 1)*(m + 2) Let w = -225 - -225. Let p(r) be the first derivative of w*r - 5 + 0*r**3 + 1/12*r**4 - 1/6*r**2. Solve p(z) = 0 for z. -1, 0, 1 Let q = 6 - -14. Let b be (28/q - 1)/(7/5). Suppose b*d**2 + 0*d + 2/7*d**5 + 6/7*d**3 + 6/7*d**4 + 0 = 0. Calculate d. -1, 0 Let f(h) be the second derivative of h**6/15 + 7*h**5/20 + h**4/2 - h**3/6 - h**2 + 47*h + 1. Factor f(r). (r + 1)**2*(r + 2)*(2*r - 1) Determine m so that 4/7*m**2 + 960/7 + 964/7*m = 0. -240, -1 Let 530 + 224 + v**2 - 263 - 60*v - 36 + 445 = 0. What is v? 30 Let p(c) be the third derivative of -42*c**2 + 1/2*c**4 + 0 + 0*c + 1/30*c**5 + 5/3*c**3. Let p(m) = 0. Calculate m. -5, -1 Suppose 2*a = -3*a, 3*o + 4*a - 36 = 0. Let j = o + -8. Factor -4*g**2 + g**4 + g**5 - 5*g**4 + 3*g**3 - 4*g + 8*g**j. g*(g - 1)*(g + 1)*(g + 2)**2 Let q(n) be the second derivative of 5*n**7/42 + 11*n**6/15 + 33*n**5/20 + 5*n**4/3 + 2*n**3/3 + 24*n + 2. Solve q(s) = 0. -2, -1, -2/5, 0 Let c be (-1)/(-2) + ((-406)/(-35) - 12). Let f(g) be the third derivative of 1/40*g**6 + 7*g**2 + 0 + 1/8*g**4 + 0*g**3 + c*g**5 + 0*g. Solve f(t) = 0. -1, 0 Let o(p) = 10*p + 100. Let c be o(-10). Let y(r) be the first derivative of 4 - 2/7*r + 2/21*r**3 + c*r**2. Suppose y(u) = 0. Calculate u. -1, 1 Let o = -511/2 - -256. Let p(r) be the first derivative of -9/4*r**4 - 6 + 0*r + 0*r**2 + 2*r**3 + o*r**6 + 0*r**5. Factor p(d). 3*d**2*(d - 1)**2*(d + 2) Solve -4/3 + 10/3*w**2 - w**3 + 3*w = 0. -1, 1/3, 4 Let y(b) be the third derivative of 0*b**3 + 1/210*b**5 + 0 - 1/420*b**6 + 0*b + 0*b**4 + 1/1176*b**8 - 1/735*b**7 + 22*b**2. Suppose y(f) = 0. What is f? -1, 0, 1 Let j(g) be the second derivative of 5*g**4/12 - 25*g**3/6 + 15*g**2 + 33*g. Factor j(f). 5*(f - 3)*(f - 2) Let v(o) = 13*o**3 - o**2 - 4*o + 1. Let a(z) be the second derivative of 3*z**5/20 - z**3/6 + 13*z. Let q(c) = -9*a(c) + 2*v(c). Let q(h) = 0. What is h? -2, -1, 1 Let l(r) = -r**3 + r**2 + r - 1. Let x be l(-1). Factor -2*b**3 - 58*b + 58*b + x*b**4 - 2*b**4. -2*b**3*(b + 1) Let u(n) be the first derivative of -n**3/3 - 4*n**2 - 16*n - 184. What is q in u(q) = 0? -4 Let q(h) = -33*h**4 + 228*h**3 + 18*h**2 + 6*h. Let d(v) = -4*v**4 - v**3 + v**2 - v. Let b(x) = -6*d(x) - q(x). Suppose b(s) = 0. What is s? -2/19, 0, 4 Let h(r) be the second derivative of r**6/1620 - r**5/540 + 5*r**3/6 - 45*r. Let l(u) be the second derivative of h(u). Find x, given that l(x) = 0. 0, 1 Let o(c) = -9*c**2 - 91*c - 20. Let y(u) = 18*u**2 + 179*u + 38. Let r(q) = 11*o(q) + 6*y(q). Factor r(l). (l + 8)*(9*l + 1) Let v(x) = -269*x + 34. Let k(f) = f**2 - 4. Let j(w) = 5*k(w) - v(w). Let j(i) = 0. Calculate i. -54, 1/5 Let t be (141 - 4)*(9/(-6) + 1). Let q = 69 + t. Find p, given that -1/2*p**2 + q*p - 1/2*p**3 + 1/2 = 0. -1, 1 Factor -7496192/5 + 681472/5*h - 23232/5*h**2 - 2/5*h**4 + 352/5*h**3. -2*(h - 44)**4/5 Let a(p) be the first derivative of p**5/25 + p**4/5 + 4*p**3/15 + 7. What is v in a(v) = 0? -2, 0 Let g(y) be the third derivative of y**6/40 - 11*y**5/20 + 4*y**4 - 14*y**3 + 10*y**2. Factor g(f). 3*(f - 7)*(f - 2)**2 Solve -7/4*c**3 + 1/2*c**4 + 7/4*c - 3/4 + 1/4*c**2 = 0 for c. -1, 1/2, 1, 3 Factor 40/3 + 8*a + 2/3*a**2. 2*(a + 2)*(a + 10)/3 Suppose 2*o + 4 - 30 = 0. Factor 7*n**2 - 3*n**2 - o*n + 3*n + 9*n - 3*n**3. -n*(n - 1)*(3*n - 1) Let n(f) be the first derivative of -f**5/5 + f**4/4 - f**2/2 + f + 32. Let z(q) = 4*q**4 - q - 3. Let k(p) = -6*n(p) - 2*z(p). Find h, given that k(h) = 0. -2, 0, 1 Let f(u) be the third derivative of u**5/195 - 7*u**4/52 + 40*u**3/39 - 284*u**2. Factor f(s). 2*(s - 8)*(2*s - 5)/13 Let g be ((-696)/140)/(32/(-10)). Let p = -9/8 + g. Let -3/7*z + p*z**4 + 9/7*z**2 + 0 - 9/7*z**3 = 0. Calculate z. 0, 1 Let z(c) be the third derivative of 2662/21*c**3 + 1/210*c**6 + 0 + 11/35*c**5 + 121/14*c**4 + 0*c - 41*c**2. What is u in z(u) = 0? -11 Let w(k) = 98*k + 688. Let n be w(-7). Factor h**n + 2/3 - 5/3*h. (h - 1)*(3*h - 2)/3 Let s(t) be the second derivative of 2*t + 5/8*t**3 + 9/8*t**2 + 0 + 1/16*t**4 - 3/80*t**5. Find v, given that s(v) = 0. -1, 3 Let d = -5 + 42. Let b be d/13 + 6/39. Solve -l**b + 3*l**3 + 18*l + 7*l**2 + 5*l**2 = 0. -3, 0 Let u = 311 - 80. Factor -24*i + u*i**2 - 14 + 2 + 48*i. 3*(7*i + 2)*(11*i - 2) Let v(c) be the third derivative of -c**6/420 + c**5/70 + 3*c**4/28 - 9*c**3/7 + 13*c**2. Solve v(t) = 0. -3, 3 Let v(d) = 3*d**5 - 2*d**4 - 3*d**3 - 3*d**2 + 5*d. Let s(i) = 8*i**5 - 6*i**4 - 8*i**3 - 8*i**2 + 14*i. Let c(a) = -5*s(a) + 14*v(a). Factor c(x). 2*x**2*(x - 1)*(x + 1)**2 Let z = 1067/604 + -78/151. Let 0 + z*m**4 - 15/4*m + 15/4*m**3 - 5/4*m**2 = 0. What is m? -3, -1, 0, 1 Let b(k) be the third derivative of k**7/420 - 7*k**6/80 + 19*k**5/40 - 55*k**4/48 + 3*k**3/2 + 381*k**2. Suppose b(y) = 0. What is y? 1, 18 Factor 0 + 0*h + 1/10*h**2. h**2/10 Let m be (-2)/(-4)*-10*4/(-10). Factor -p + p**2 + 12*p**4 - 8*p**4 - m*p**4 - 3*p**4 + p**3. -p*(p - 1)**2*(p + 1) Let k(q) = -274 - 52*q**2 + 142 - 700 + 416*q. Let m(d) = -8*d**2 + 64*d - 128. Let u(f) = 5*k(f) - 32*m(f). What is y in u(y) = 0? 4 Let d(t) be the second derivative of 0 - 36*t**2 + 46*t**3 - 21*t + 9/5*t**5 + 52/3*t**4. Factor d(y). 4*(y + 3)**2*(9*y - 2) Let p(m) = -28*m**2 + 767*m - 23814. Let r(g) = -10*g**2 + 256*g - 7938. Let l(a) = -4*p(a) + 11*r(a). What is d in l(d) = 0? 63 Suppose -83 = -98*a + 113. Let u(i) be the first derivative of -5 - i**5 - 5/3*i**3 + 10*i - 15/2*i**a + 15/4*i**4. Factor u(r). -5*(r - 2)*(r - 1)**2*(r + 1) Let k(g) be the third derivative of g**7/14 + 7*g**6/24 + 5*g**5/12 + 5*g**4/24 + 114*g**2. Solve k(c) = 0 for c. -1, -1/3, 0 Suppose 21/2*y**3 - 15/2*y**4 + 0*y + 0 - 9/2*y**2 + 3/2*y**5 = 0. What is y? 0, 1, 3 Let j(g) be the second derivative of 1/2*g**4 + g**2 + 9/10*g**5 + 18*g + 2 - 5/3*g**3. Let j(r) = 0. Calculate r. -1, 1/3 Suppose 3/4*t**2 + 1/4*t**4 + 1/4*t + 3/4*t**3 + 0 = 0. Calculate t. -1, 0 Factor -106722/17*k**2 - 54/17 + 913066/17*k**3 + 4158/17*k. 2*(77*k - 3)**3
{ "pile_set_name": "DM Mathematics" }
4*a = 3*t - 8, -5*t + 4 + 1 = -5*a. List the prime factors of l(a). 2, 5 Suppose -t - k + 419 = 0, 14*k - 16*k - 846 = -2*t. What are the prime factors of t? 421 Let t(j) = -j**2 + 7*j - 10. Let s be t(5). Suppose s = 4*g - 0*g - 112. What are the prime factors of g? 2, 7 Let j(h) = -h**3 - 5*h**2 + 6*h - 2. Let d be j(-6). Let g be 1/(d/1)*0. Suppose g = -4*t + 3*t + 10. List the prime factors of t. 2, 5 Let y = 83 + -55. List the prime factors of y/7*1/1. 2 Suppose 5*z + 0*k - k - 29 = 0, -3*k - 22 = -2*z. Let h be ((-32)/z)/((-4)/20). Suppose p = -p + h. List the prime factors of p. 2 Suppose 2*y - 6 = -4*n, -3*n + 2*n = y - 2. Suppose -3*i + 4*x - n = 0, 5*i - 4*x - 4 = i. Suppose 0 = -i*s + 8 + 17. What are the prime factors of s? 5 Let j be -3 - (2 - 6/2). Let v(f) = 2*f**2 + 2*f. What are the prime factors of v(j)? 2 Suppose -2*r + 144 = 2*r. List the prime factors of r. 2, 3 Let t be -4 + 2/4*-2. Let q(v) = -v**2 - 7*v - 4. What are the prime factors of q(t)? 2, 3 Suppose s + 2*s - 12 = 0. Suppose s*u + 5*a + 5 = 9*u, -5*u + 9 = -3*a. List the prime factors of u. 3 Suppose -93 = 9*c - 12*c. What are the prime factors of c? 31 Suppose -2*x + 5*x + 5*k - 572 = 0, x - 188 = k. What are the prime factors of x? 3, 7 Suppose -2*q + 131 + 45 = 0. List the prime factors of q. 2, 11 Let z(i) = -3*i + 3. Let l(n) = 13*n - 12. Let f(w) = -2*l(w) - 9*z(w). Let r be f(6). Let y = 6 - r. List the prime factors of y. 3 Let p = 13 + -8. Suppose -q + 8 = -p*b - 4, -q - b = 6. List the prime factors of 8 - (6/2)/q. 3 Suppose 4*a - 17 - 19 = 0. Suppose 5*o = 2*o - a. What are the prime factors of (-2)/(-2*o/(-12))? 2 Let i = 26 - -3. List the prime factors of i. 29 Let c(a) = -a**3 + 3*a**2 - 7*a - 10. What are the prime factors of c(-6)? 2, 89 Let j(w) = -w. Suppose -4*v - 10 = -5*v - 3*c, v - 5*c + 22 = 0. Let g be j(v). List the prime factors of g*(-1 + 0 + 2). 2 Suppose 4*f - 8 - 35 = -d, -d - f = -46. Let x = -33 + d. List the prime factors of x. 2, 7 Let s(j) = j + 2. Let z be s(0). Let n be ((-2)/z - -4) + -1. List the prime factors of (n/(-4))/(2/(-24)). 2, 3 Let w be (24/(-40))/(1/(-5)). Suppose -w*b = -c - 99, -5*b + 0*c = -5*c - 155. What are the prime factors of b? 2, 17 Let y = -808 - -1144. Suppose -4*k + 11*k = y. List the prime factors of k. 2, 3 Let s = 10 + -6. Suppose -s*w + 175 = -5*v, 5*w = -2*v - 2*v + 229. List the prime factors of w. 3, 5 Suppose -4*h + 3*h - 4 = 0. Let g(p) = -3*p - 1. Let y be g(h). Suppose 5*r - 26 = -y. List the prime factors of r. 3 Let o be 121/17 - 6/51. Suppose -o*c - 2 = -8*c. What are the prime factors of c? 2 Suppose 11*u = 17*u - 690. List the prime factors of u. 5, 23 Let r = -87 - -147. What are the prime factors of r? 2, 3, 5 Let w(q) = -q**3 - q - 3. Let j be w(0). List the prime factors of 3 - (-19 - -3 - j). 2 Suppose 3*j = 3*r - r - 16, 0 = -2*r - 2*j + 16. Let f(y) = -y**2 + 9*y - 6. Let u be f(5). Let z = u - r. List the prime factors of z. 2, 3 Suppose -r - 53 = -h + 3*h, 5*r = 2*h - 217. Suppose 4*v - 4*a + 0*a - 264 = 0, 4*v = -3*a + 243. Let d = r + v. What are the prime factors of d? 2, 3 List the prime factors of 104 + 4/(-14) + (-2)/(-7). 2, 13 Let s(k) = 97*k + 1. What are the prime factors of s(1)? 2, 7 Suppose 4*f - 12 = -4*j, -j + 4 = 3*f - 9. Suppose 0 = g + 5*x - 31 - 7, f*g - 2*x = 82. Suppose -o + 2 - g = -l, 4*o - 44 = -5*l. List the prime factors of l. 2, 3 Let d(c) = -c - 14. Let a be 0/(3/(-3) + 0). Let q be d(a). Let l = q - -28. What are the prime factors of l? 2, 7 Let i(m) be the second derivative of m**3/3 - 6*m**2 + 2*m. What are the prime factors of i(9)? 2, 3 Let p(c) = -c**2 + 5*c - 15. Let v be p(9). Let i = -10 - v. What are the prime factors of i? 41 Suppose t + 5*x = -t + 45, -x = -2*t + 75. Let i = -19 + t. Let j = i - 9. List the prime factors of j. 7 Suppose 0 = -3*k + 130 + 593. List the prime factors of k. 241 Let j(r) = 1 + 5*r + 7*r - 14*r. Let d be -8*(0 - (-1)/2). List the prime factors of j(d). 3 Suppose -52 = -3*m + 2*o, -3*m = -3*o - 62 + 8. List the prime factors of m. 2 Suppose -22*o + 736 + 3532 = 0. List the prime factors of o. 2, 97 Let j = 8 - -7. Suppose 2*f + f = j. What are the prime factors of f? 5 Suppose -o - o + 21 = 5*m, -4*o + 15 = m. Suppose k = -3*d + 78, -5*d - o*k = -2*d - 84. List the prime factors of d. 5 Suppose 12*w = 8*w + 24. What are the prime factors of w? 2, 3 Suppose 6*p - 36 = 2*p. What are the prime factors of p? 3 Suppose 0*d + d = 46. List the prime factors of d. 2, 23 Suppose -7 = 2*z + 3*r, z - 3 + 4 = -r. Suppose 0 = z*c - 3*f - 47, 2*c - 3*c + 3*f = -14. What are the prime factors of c? 11 Let y(t) be the second derivative of -t**3/2 + 5*t**2 - 5*t. What are the prime factors of y(-8)? 2, 17 Suppose 2*c + 4*c - 180 = 0. List the prime factors of c. 2, 3, 5 Let k be (7/3)/(3/9). Let m = k - -5. What are the prime factors of m? 2, 3 Let r be 3 - (10 - 0/3). Let w = r - 6. List the prime factors of (-5)/((-10)/6) - w. 2 Let j be (-9)/(1*-1)*-1. Let b be (9/(-3))/(-6)*(1 - -37). Let r = j + b. What are the prime factors of r? 2, 5 Let f = -42 - -77. Suppose 5*w = -3*q + f, 15 = 6*q - 3*q. Suppose 0 = -w*r + 21 + 23. List the prime factors of r. 11 Let v = -3 + 93. List the prime factors of v. 2, 3, 5 Let w = 147 + -68. What are the prime factors of w? 79 Let a(i) be the second derivative of i**3 - i**2 - i. Let y be a(9). Suppose 3*b + 3*j - 36 = 0, 0 = 5*b + 7*j - 4*j - y. What are the prime factors of b? 2 Let m = -6 + 11. Let w(v) = -6*v**2 - 3*v**3 + 6*v - v**3 + v**3 + 4*v**3 + 6. What are the prime factors of w(m)? 11 Suppose 80*f - 83*f + 177 = 0. What are the prime factors of f? 59 Suppose 0 = h, 3*r - 3*h + h = 12. Suppose -18 = -6*m + r*m. What are the prime factors of m? 3 Let k(i) = -i**2 + 3*i - 1. Let m be k(2). Let n(j) = -j - m - 4*j + 3*j. List the prime factors of n(-5). 3 Let z be (-3 + 6)*1/3. Let w(p) = p - 2. Let i be w(z). What are the prime factors of (-3)/i - (-2)/2? 2 Let u = -19 + 10. Let p = 6 + u. What are the prime factors of (1/3)/(p/(-27))? 3 Let z = 16 - 27. Let b = -1 + 0. Let g = b - z. List the prime factors of g. 2, 5 Suppose -3*b + 2*b = 0. Suppose -11 = -b*a - a. What are the prime factors of a? 11 Let l(j) = 5*j**2 - j - 34. List the prime factors of l(6). 2, 5, 7 Suppose -2*z - 3 = -3*z. Let l(r) = r**3 - 3*r**2 + 2*r + 1. What are the prime factors of l(z)? 7 Suppose -j + 2*s + 5 = 0, 0*j = -3*j - s + 29. List the prime factors of j. 3 Let l(v) = v**3 + 5*v**2. Let g be l(-5). Suppose g*k + 10 = 5*k. Suppose -4*f + 3 = -1, 50 = 2*s + k*f. What are the prime factors of s? 2, 3 Let a = 75 + -53. Suppose 6*p = 5*p + a. What are the prime factors of p? 2, 11 Let r = -1 - -1. Suppose -4*t + 41 + 27 = r. Let h = -8 + t. What are the prime factors of h? 3 Let k = -24 - -46. List the prime factors of k. 2, 11 List the prime factors of 2 + (0 - (-2 + 0)). 2 Let c = 13 - -5. Suppose f - 3 = c. What are the prime factors of f? 3, 7 Suppose 21 = 4*d - d. Let f = 14 - d. List the prime factors of f. 7 Suppose 5*g = -55 - 25. List the prime factors of ((-50)/(-4))/((-8)/g). 5 Suppose -2*p + 30 = -p. Suppose 3*w = -2*f + 90, -2*f = -4*w + 5*w - p. What are the prime factors of w? 2, 3, 5 Suppose 0*p = -2*p + 4. Suppose -p*a + 0*c + 12 = -3*c, 2*c = 2*a - 8. Suppose -3*y = 3*d - 5*d - 28, a = -5*y + 3*d + 46. List the prime factors of y. 2 Let h(o) = -2*o**3 + o - 1. Let i be h(-2). Let l(n) = n**2 - 13*n + 14. List the prime factors of l(i). 2, 7 Let j(u) = u + 8. Let b be (-4)/14 - 12/(-42). What are the prime factors of j(b)? 2 Let o = 19 - -11. What are the prime factors of (-12)/5*o/(-9)? 2 Suppose s + 3 = -0*s, 2*r - 4*s - 8 = 0. Let v = 18 + -10. Let u = v - r. What are the prime factors of u? 2, 5 Suppose 3*m - 35 = 2*s - 3*s, 5*m = -s + 59. List the prime factors of m. 2, 3 Let t(m) = m + 4. Let o be t(-5). Let h = 3 + o. List the prime factors of h. 2 Suppose -4*l - 7 - 1 = 0, 5*l + 35 = 5*x. Suppose x*j + f + 19 = -102, -93 = 4*j - 3*f. Let v = 35 + j. What are the prime factors of v? 11 Let l(p) = 2*p**3 + 11*p**2 - p + 2. List the prime factors of l(-5). 2 Let o be (-1)/(-2) - 131/(-2). Suppose o = -7*h + 4*h. Let z = h - -36. List the prime factors of z. 2, 7 Suppose -3*x
{ "pile_set_name": "DM Mathematics" }
is divided by 403. 63 What is the remainder when 35885 is divided by 255? 185 What is the remainder when 11412 is divided by 5704? 4 Calculate the remainder when 25654 is divided by 242. 2 Calculate the remainder when 121023 is divided by 25. 23 What is the remainder when 54703 is divided by 99? 55 What is the remainder when 1480917 is divided by 92? 85 What is the remainder when 249940 is divided by 11? 9 Calculate the remainder when 2757 is divided by 731. 564 Calculate the remainder when 145495 is divided by 250. 245 What is the remainder when 1999 is divided by 340? 299 What is the remainder when 14434 is divided by 33? 13 What is the remainder when 77400 is divided by 458? 456 What is the remainder when 848432 is divided by 282805? 17 What is the remainder when 3894 is divided by 777? 9 Calculate the remainder when 65823 is divided by 693. 681 Calculate the remainder when 27805 is divided by 1015. 400 What is the remainder when 328607 is divided by 28? 27 Calculate the remainder when 5877 is divided by 74. 31 What is the remainder when 6725 is divided by 330? 125 What is the remainder when 10870 is divided by 320? 310 What is the remainder when 168925 is divided by 114? 91 Calculate the remainder when 84959 is divided by 84950. 9 Calculate the remainder when 756 is divided by 148. 16 Calculate the remainder when 28663 is divided by 233. 4 Calculate the remainder when 1344326 is divided by 18. 14 Calculate the remainder when 42406 is divided by 73. 66 What is the remainder when 300575 is divided by 466? 5 Calculate the remainder when 11712 is divided by 61. 0 What is the remainder when 4053 is divided by 87? 51 Calculate the remainder when 16583 is divided by 145. 53 What is the remainder when 87406 is divided by 6243? 4 What is the remainder when 995090 is divided by 671? 668 Calculate the remainder when 44786 is divided by 14926. 8 Calculate the remainder when 88697 is divided by 845. 817 What is the remainder when 14025 is divided by 13989? 36 Calculate the remainder when 307096 is divided by 22. 20 Calculate the remainder when 1258 is divided by 15. 13 What is the remainder when 103803 is divided by 970? 13 Calculate the remainder when 208753 is divided by 196. 13 Calculate the remainder when 24552 is divided by 2454. 12 What is the remainder when 967878 is divided by 61? 52 Calculate the remainder when 3381 is divided by 141. 138 What is the remainder when 9988 is divided by 203? 41 Calculate the remainder when 5761 is divided by 165. 151 Calculate the remainder when 7535 is divided by 314. 313 Calculate the remainder when 101122 is divided by 18. 16 What is the remainder when 49282 is divided by 23? 16 What is the remainder when 81232 is divided by 81231? 1 What is the remainder when 44953 is divided by 67? 63 Calculate the remainder when 2249200 is divided by 35. 30 Calculate the remainder when 7331 is divided by 26. 25 What is the remainder when 4975 is divided by 331? 10 Calculate the remainder when 140951 is divided by 140944. 7 Calculate the remainder when 753 is divided by 384. 369 Calculate the remainder when 15699 is divided by 631. 555 Calculate the remainder when 55443 is divided by 132. 3 What is the remainder when 718 is divided by 7? 4 What is the remainder when 1606124 is divided by 36? 20 What is the remainder when 13850 is divided by 462? 452 What is the remainder when 119903 is divided by 2497? 47 What is the remainder when 395252 is divided by 5133? 11 What is the remainder when 2128 is divided by 1871? 257 What is the remainder when 36221 is divided by 15? 11 What is the remainder when 11479 is divided by 1628? 83 Calculate the remainder when 17351 is divided by 3299. 856 What is the remainder when 34742 is divided by 316? 298 Calculate the remainder when 3750 is divided by 9. 6 What is the remainder when 139 is divided by 54? 31 Calculate the remainder when 26495 is divided by 317. 184 What is the remainder when 12662 is divided by 72? 62 What is the remainder when 100282 is divided by 548? 546 What is the remainder when 3788 is divided by 655? 513 What is the remainder when 1006 is divided by 276? 178 Calculate the remainder when 35006 is divided by 15. 11 What is the remainder when 3350 is divided by 177? 164 Calculate the remainder when 92495 is divided by 74. 69 What is the remainder when 4959359 is divided by 1680? 1679 What is the remainder when 110435 is divided by 20? 15 Calculate the remainder when 1433 is divided by 1347. 86 Calculate the remainder when 61514 is divided by 69. 35 Calculate the remainder when 67303 is divided by 709. 657 Calculate the remainder when 12592 is divided by 359. 27 What is the remainder when 16738 is divided by 523? 2 Calculate the remainder when 7876 is divided by 983. 12 Calculate the remainder when 1262558 is divided by 12. 2 What is the remainder when 11043 is divided by 11042? 1 What is the remainder when 129374 is divided by 117? 89 What is the remainder when 888780 is divided by 118? 4 Calculate the remainder when 5207 is divided by 522. 509 Calculate the remainder when 1075 is divided by 179. 1 What is the remainder when 202195 is divided by 60? 55 What is the remainder when 8478 is divided by 926? 144 Calculate the remainder when 3145988 is divided by 77. 76 What is the remainder when 76328 is divided by 33? 32 Calculate the remainder when 52653 is divided by 16. 13 Calculate the remainder when 272042 is divided by 159. 152 Calculate the remainder when 14556 is divided by 415. 31 Calculate the remainder when 135 is divided by 52. 31 Calculate the remainder when 2557 is divided by 31. 15 Calculate the remainder when 7441 is divided by 111. 4 Calculate the remainder when 443211 is divided by 49245. 6 What is the remainder when 44688 is divided by 14895? 3 What is the remainder when 17439 is divided by 88? 15 Calculate the remainder when 6448 is divided by 73. 24 Calculate the remainder when 3798 is divided by 136. 126 What is the remainder when 886826 is divided by 21? 17 What is the remainder when 176849 is divided by 25256? 57 Calculate the remainder when 402269 is divided by 11. 10 Calculate the remainder when 1120 is divided by 1011. 109 Calculate the remainder when 17352 is divided by 140. 132 Calculate the remainder when 1217680 is divided by 135297. 7 Calculate the remainder when 1772 is divided by 219. 20 Calculate the remainder when 367983 is divided by 8. 7 What is the remainder when 9021 is divided by 1551? 1266 Calculate the remainder when 11681 is divided by 1459. 9 What is the remainder when 1372638 is divided by 72244? 2 Calculate the remainder when 4979 is divided by 226. 7 What is the remainder when 3486 is divided by 1641? 204 What is the remainder when 6635 is divided by 50? 35 What is the remainder when 182467 is divided by 26? 25 Calculate the remainder when 4113 is divided by 2029. 55 What is the remainder when 58900 is divided by 5354? 6 Calculate the remainder when 5535 is divided by 1816. 87 Calculate the remainder when 312 is divided by 9. 6 Calculate the remainder when 141677 is divided by 47220. 17 What is the remainder when 12059 is divided by 1721? 12 Calculate the remainder when 3564 is divided by 885. 24 Calculate the remainder when 3899 is divided by 303. 263 What is the remainder when 222837 is divided by 111408? 21 Calculate the remainder when 14862 is divided by 708. 702 Calculate the remainder when 9636 is divided by 166. 8 Calculate the remainder when 3860 is divided by 177. 143 Calculate the remainder when 291876 is divided by 51. 3 Calculate the remainder when 189337 is divided by 1176. 1 Calculate the remainder when 22232 is divided by 556. 548 What is the remainder when 108584 is divided by 54287? 10 What is the remainder when 2149362 is divided by 716451? 9 What is the remainder when 111850 is divided by 111849? 1 What is the remainder when 2856 is divided by 592? 488 What is the remainder when 208879 is divided by 618? 613 Calculate the remainder when 85265 is divided by 79. 24 What is the remainder when 1923 is divided by 128? 3 What is the remainder when 21492 is divided by 10705? 82 Calculate the remainder when 975 is divided by 471. 33 Calculate the remainder when 72530 is divided by 20. 10 What is the remainder when
{ "pile_set_name": "DM Mathematics" }
n 140991 is divided by 235. 226 Calculate the remainder when 5455 is divided by 5175. 280 What is the remainder when 36100 is divided by 46? 36 Calculate the remainder when 125 is divided by 92. 33 Calculate the remainder when 1782 is divided by 123. 60 What is the remainder when 38877 is divided by 19429? 19 What is the remainder when 30958 is divided by 86? 84 Calculate the remainder when 329 is divided by 44. 21 Calculate the remainder when 992721 is divided by 22. 15 What is the remainder when 3883 is divided by 158? 91 Calculate the remainder when 947 is divided by 370. 207 Calculate the remainder when 839 is divided by 834. 5 Calculate the remainder when 188929 is divided by 1671. 106 Calculate the remainder when 10729 is divided by 124. 65 What is the remainder when 15202 is divided by 723? 19 What is the remainder when 34650 is divided by 82? 46 Calculate the remainder when 100030 is divided by 100028. 2 Calculate the remainder when 816 is divided by 203. 4 What is the remainder when 9001 is divided by 246? 145 What is the remainder when 513 is divided by 226? 61 Calculate the remainder when 194032 is divided by 95. 42 Calculate the remainder when 1608 is divided by 95. 88 What is the remainder when 8263 is divided by 1839? 907 Calculate the remainder when 56989 is divided by 130. 49 Calculate the remainder when 3499 is divided by 73. 68 Calculate the remainder when 6903 is divided by 229. 33 What is the remainder when 3458 is divided by 192? 2 Calculate the remainder when 205435 is divided by 92. 91 What is the remainder when 3360 is divided by 1158? 1044 What is the remainder when 129470 is divided by 116? 14 What is the remainder when 5175 is divided by 1568? 471 Calculate the remainder when 4772 is divided by 687. 650 Calculate the remainder when 8998 is divided by 132. 22 What is the remainder when 2218292 is divided by 1109144? 4 Calculate the remainder when 1251 is divided by 114. 111 What is the remainder when 83857 is divided by 70? 67 What is the remainder when 11470 is divided by 478? 476 Calculate the remainder when 21268 is divided by 1633. 39 What is the remainder when 2348 is divided by 147? 143 What is the remainder when 40270 is divided by 1032? 22 Calculate the remainder when 56162 is divided by 14035. 22 What is the remainder when 727 is divided by 656? 71 Calculate the remainder when 41797 is divided by 3483. 1 Calculate the remainder when 57354 is divided by 898. 780 Calculate the remainder when 2071174 is divided by 113. 110 What is the remainder when 13655 is divided by 83? 43 Calculate the remainder when 382 is divided by 5. 2 Calculate the remainder when 2446 is divided by 725. 271 What is the remainder when 252856 is divided by 1119? 1081 What is the remainder when 31382 is divided by 79? 19 Calculate the remainder when 3698 is divided by 202. 62 What is the remainder when 14761 is divided by 3680? 41 What is the remainder when 198618 is divided by 39714? 48 What is the remainder when 7311 is divided by 82? 13 What is the remainder when 9794 is divided by 213? 209 What is the remainder when 2188 is divided by 52? 4 What is the remainder when 257392 is divided by 85791? 19 What is the remainder when 29325 is divided by 11? 10 Calculate the remainder when 13783 is divided by 1028. 419 Calculate the remainder when 433299 is divided by 2832. 3 What is the remainder when 933639 is divided by 4? 3 What is the remainder when 78363 is divided by 151? 145 What is the remainder when 923 is divided by 257? 152 Calculate the remainder when 344 is divided by 224. 120 What is the remainder when 2105 is divided by 303? 287 What is the remainder when 5997 is divided by 5997? 0 Calculate the remainder when 5900 is divided by 1473. 8 Calculate the remainder when 2204 is divided by 282. 230 Calculate the remainder when 16869 is divided by 222. 219 Calculate the remainder when 125274 is divided by 18. 12 What is the remainder when 680 is divided by 66? 20 What is the remainder when 234717 is divided by 489? 486 Calculate the remainder when 226303 is divided by 235. 233 Calculate the remainder when 340590 is divided by 45. 30 What is the remainder when 27229 is divided by 798? 97 What is the remainder when 4702 is divided by 1042? 534 Calculate the remainder when 6816484 is divided by 23. 20 Calculate the remainder when 829086 is divided by 104. 102 Calculate the remainder when 542 is divided by 301. 241 Calculate the remainder when 5951 is divided by 1962. 65 Calculate the remainder when 1722 is divided by 39. 6 What is the remainder when 36336 is divided by 62? 4 Calculate the remainder when 3248 is divided by 88. 80 Calculate the remainder when 29480 is divided by 117. 113 Calculate the remainder when 48991 is divided by 68. 31 Calculate the remainder when 4727 is divided by 1524. 155 Calculate the remainder when 111323 is divided by 411. 353 Calculate the remainder when 4595 is divided by 100. 95 Calculate the remainder when 6226 is divided by 1244. 6 What is the remainder when 29026 is divided by 779? 203 Calculate the remainder when 4839 is divided by 692. 687 Calculate the remainder when 2657 is divided by 2. 1 What is the remainder when 21794 is divided by 20? 14 What is the remainder when 32566 is divided by 680? 606 What is the remainder when 10294 is divided by 152? 110 Calculate the remainder when 3903 is divided by 32. 31 Calculate the remainder when 13432 is divided by 210. 202 Calculate the remainder when 7801 is divided by 905. 561 What is the remainder when 316940 is divided by 13205? 20 What is the remainder when 379823 is divided by 25? 23 What is the remainder when 7764 is divided by 619? 336 Calculate the remainder when 34243 is divided by 28. 27 What is the remainder when 256228 is divided by 64055? 8 What is the remainder when 9921 is divided by 216? 201 Calculate the remainder when 28097 is divided by 55. 47 What is the remainder when 217673 is divided by 152? 9 Calculate the remainder when 19477 is divided by 1640. 1437 What is the remainder when 1874 is divided by 539? 257 Calculate the remainder when 25422 is divided by 8448. 78 Calculate the remainder when 68291 is divided by 34138. 15 What is the remainder when 11317 is divided by 2206? 287 Calculate the remainder when 2148 is divided by 2143. 5 What is the remainder when 37824 is divided by 14? 10 What is the remainder when 110249 is divided by 42? 41 Calculate the remainder when 98331 is divided by 2. 1 What is the remainder when 20232 is divided by 413? 408 What is the remainder when 15240 is divided by 4659? 1263 What is the remainder when 2278 is divided by 39? 16 What is the remainder when 13249 is divided by 1324? 9 What is the remainder when 106482 is divided by 100? 82 What is the remainder when 3089 is divided by 612? 29 Calculate the remainder when 856771 is divided by 28. 27 Calculate the remainder when 31180 is divided by 390. 370 Calculate the remainder when 4554 is divided by 1477. 123 What is the remainder when 4119 is divided by 188? 171 What is the remainder when 127861 is divided by 775? 761 What is the remainder when 70017 is divided by 49? 45 What is the remainder when 39910 is divided by 150? 10 Calculate the remainder when 3490 is divided by 1743. 4 What is the remainder when 62894 is divided by 20894? 212 Calculate the remainder when 254 is divided by 246. 8 Calculate the remainder when 7671 is divided by 1508. 131 Calculate the remainder when 764 is divided by 230. 74 Calculate the remainder when 22499 is divided by 194. 189 What is the remainder when 12526 is divided by 1252? 6 What is the remainder when 60968 is divided by 5? 3 Calculate the remainder when 2846 is divided by 2821. 25 What is the remainder when 32063 is divided by 241? 10 Calculate the remainder when 209525 is divided by 76. 69 What is the remainder when 14888 is divided by 2687? 1453 Calculate the remainder when 29413 is divided by 4891. 67 What is the remainder when 8826 is divided by 1243? 125 What is the remainder when 893120 is divided by 31897? 4 Calculate the remainder when 181582 is divided by 6260. 42 What is the remainder when 90291 is divided by 76? 3 What is the remainder when 93581 is divided by 1534? 7 What is the remainder when 4678 is divi
{ "pile_set_name": "DM Mathematics" }
factor of 27111 and 168? 21 Calculate the greatest common divisor of 3340 and 115. 5 Calculate the highest common factor of 38482 and 7668. 142 Calculate the highest common factor of 6050 and 400. 50 What is the greatest common divisor of 19736 and 232? 8 Calculate the highest common factor of 1274 and 416. 26 Calculate the highest common factor of 16562 and 1690. 338 What is the greatest common divisor of 65 and 2140? 5 Calculate the highest common factor of 360 and 146040. 120 What is the highest common divisor of 109810 and 120? 10 What is the greatest common factor of 87 and 30102? 87 What is the greatest common divisor of 786192 and 240? 48 Calculate the greatest common divisor of 837 and 22351. 31 What is the greatest common divisor of 37500 and 120? 60 Calculate the greatest common divisor of 14 and 30142. 14 What is the greatest common divisor of 47012 and 4526? 146 Calculate the highest common factor of 49728 and 5952. 192 What is the highest common factor of 415 and 51555? 5 What is the highest common factor of 45469 and 8872? 1109 Calculate the highest common divisor of 21900 and 211335. 1095 Calculate the highest common factor of 672 and 321216. 672 What is the highest common factor of 45 and 248895? 45 Calculate the highest common divisor of 400958 and 28706. 926 What is the highest common divisor of 2075370 and 20? 10 What is the greatest common factor of 32691 and 29937? 51 Calculate the highest common divisor of 3130 and 235. 5 Calculate the greatest common divisor of 102 and 12002. 34 Calculate the greatest common divisor of 2461 and 161. 23 What is the highest common factor of 1632 and 2755360? 544 What is the highest common divisor of 606 and 183? 3 What is the highest common factor of 85618 and 130? 26 What is the greatest common factor of 39190 and 23? 1 What is the greatest common divisor of 1210 and 54890? 110 Calculate the highest common factor of 525 and 662675. 25 Calculate the highest common factor of 943 and 186024. 23 What is the greatest common factor of 17988 and 36? 12 Calculate the greatest common factor of 3526 and 5576. 82 What is the greatest common factor of 50 and 43850? 50 Calculate the greatest common divisor of 1224 and 432. 72 Calculate the greatest common factor of 2960 and 178340. 740 What is the greatest common factor of 189 and 471501? 27 What is the greatest common divisor of 107933 and 17? 17 Calculate the highest common factor of 460172 and 406. 58 What is the greatest common divisor of 198910 and 10? 10 What is the greatest common divisor of 122430 and 3366? 66 Calculate the highest common factor of 323 and 9861. 19 What is the highest common factor of 2 and 117902? 2 Calculate the greatest common factor of 2369 and 2116. 23 Calculate the greatest common divisor of 38 and 9766. 38 Calculate the highest common divisor of 1409982 and 63. 21 Calculate the highest common factor of 177 and 156291. 177 What is the highest common divisor of 455328 and 2295? 459 What is the greatest common divisor of 1424 and 29815? 89 What is the greatest common divisor of 2297817 and 9? 9 Calculate the highest common factor of 75060 and 189. 27 Calculate the highest common divisor of 1505 and 21973. 301 Calculate the greatest common divisor of 6976 and 142681. 109 What is the highest common divisor of 783587 and 1085? 217 What is the greatest common divisor of 4264 and 781911? 533 Calculate the greatest common divisor of 60 and 65420. 20 Calculate the highest common factor of 5593 and 1309. 119 What is the greatest common divisor of 2546890 and 1290? 430 What is the highest common factor of 204974 and 14? 14 Calculate the greatest common factor of 4020234 and 6. 6 Calculate the highest common divisor of 249 and 277220. 83 Calculate the highest common factor of 101849 and 517. 517 What is the greatest common divisor of 95226 and 3766? 538 Calculate the greatest common factor of 48051 and 304. 19 Calculate the highest common factor of 540 and 24120. 180 Calculate the highest common factor of 38915 and 860. 215 What is the greatest common factor of 608 and 58824? 152 What is the highest common divisor of 360351 and 9? 9 What is the greatest common divisor of 3920 and 1808? 16 What is the greatest common divisor of 57 and 3666525? 57 What is the greatest common factor of 177648 and 84? 12 What is the greatest common factor of 360 and 11670? 30 Calculate the greatest common divisor of 2916 and 1404. 108 Calculate the greatest common divisor of 222 and 28209. 3 Calculate the highest common divisor of 3315 and 1040. 65 Calculate the greatest common factor of 4096260 and 1260. 1260 Calculate the highest common divisor of 23722 and 319. 29 Calculate the highest common divisor of 46846 and 56374. 794 Calculate the greatest common divisor of 5033 and 238. 7 Calculate the greatest common divisor of 264 and 10098. 66 What is the highest common divisor of 2627 and 158397? 37 What is the highest common factor of 270 and 17766? 54 What is the greatest common factor of 2790 and 31930? 310 Calculate the greatest common divisor of 20175 and 300. 75 Calculate the greatest common divisor of 2484 and 4103568. 2484 Calculate the highest common factor of 25 and 251475. 25 What is the highest common factor of 16 and 5666? 2 What is the greatest common divisor of 52043 and 2932? 733 What is the highest common factor of 11536 and 2184? 56 Calculate the highest common factor of 14 and 6642. 2 What is the highest common factor of 828 and 118611? 207 Calculate the greatest common divisor of 12 and 194772. 12 What is the highest common divisor of 3532 and 2400? 4 Calculate the highest common factor of 12962496 and 543. 543 Calculate the greatest common divisor of 6 and 1137750. 6 Calculate the highest common factor of 936 and 1689246. 234 What is the greatest common divisor of 132 and 3498? 66 What is the greatest common factor of 130000 and 10625? 625 What is the highest common factor of 42 and 195391? 7 What is the greatest common divisor of 81189 and 54? 27 Calculate the highest common factor of 6693 and 2139. 69 Calculate the greatest common factor of 34459 and 34. 17 What is the highest common factor of 1786 and 9253? 19 What is the greatest common divisor of 56 and 694456? 56 What is the greatest common divisor of 46062 and 2? 2 What is the highest common divisor of 96 and 172248? 24 Calculate the highest common factor of 103 and 671457. 103 Calculate the highest common factor of 256 and 928. 32 Calculate the highest common factor of 208416 and 192. 96 Calculate the highest common factor of 385 and 65. 5 Calculate the greatest common factor of 650076 and 8502. 654 What is the greatest common divisor of 5434 and 198? 22 Calculate the highest common divisor of 8019 and 1122. 33 Calculate the greatest common divisor of 221 and 7709. 13 What is the highest common factor of 176 and 2096? 16 What is the greatest common factor of 17048 and 40? 8 What is the highest common factor of 79690 and 1300? 130 Calculate the highest common factor of 442 and 430924. 26 Calculate the highest common divisor of 1472 and 38548. 92 What is the highest common factor of 54209 and 3020? 151 Calculate the highest common factor of 210996 and 24. 12 What is the greatest common divisor of 39812 and 89846? 538 Calculate the highest common factor of 87 and 583567. 29 What is the highest common divisor of 13 and 311077? 13 What is the greatest common divisor of 93032 and 464? 232 Calculate the highest common factor of 6882 and 1054. 62 What is the greatest common factor of 35900 and 8? 4 What is the greatest common divisor of 668 and 716? 4 What is the highest common factor of 56 and 696? 8 Calculate the greatest common divisor of 567 and 628614. 189 Calculate the highest common divisor of 42 and 304017. 21 What is the highest common divisor of 21752 and 40? 8 Calculate the greatest common factor of 649 and 209. 11 What is the greatest common divisor of 4383 and 261? 9 What is the greatest common divisor of 468226 and 22? 22 Calculate the highest common factor of 65792 and 22784. 256 Calculate the highest common divisor of 75864 and 3712. 232 What is the highest common factor of 516 and 760928? 172 What is the highest common divisor of 28 and 34846? 14 What is the grea
{ "pile_set_name": "DM Mathematics" }
-4*b - 17*v, 29*b - 6 = 30*b - 4*v + 1 for b. 1 Solve -19*q - 27*q + 4*k = -93*q + 48*q + 43, 4*q + 3*k - 56 = -0*q for q. 5 Solve -5*b + 2*b - 224 = -13*l - b, l = 2*l + 4*b + 394 for l. 2 Solve -2*j + 5*j - 13 = 3*l - 10, -42*j = -3*l - 237 for j. 6 Solve 111*b - 5*i + 70 = 116*b - 4*i, -10 = -2*i for b. 13 Solve 5896*w - 5892*w = -2*q + 10, q = -4*w + 15 for q. -5 Solve 2*h + 236 - 177 = -4*x + 117, 72 = 3*h - 9*x for h. 27 Solve 0 = 5*s - 4*b + 175, 4*s + 0*b + 17*b = -5*b - 14 for s. -31 Solve -p + 11 = -26*q + 25*q, -16*p = -10*p - 7*q - 71 for p. 6 Solve -19*i + 7*i + 5*h = 38, i - 57*h = -62*h - 14 for i. -4 Solve -3*s - 1440 = -32*k, -109*k + 104*k - s = -225 for k. 45 Solve 0 = 7*a - 4*q + 238 - 161, -3*a + 0*a - 51 = -3*q for a. -3 Solve 23*y = 2*m + 79, 220*m + 39*y - 213 = 219*m for m. 18 Solve -5*k + 16*a - 18420 + 18485 = 6*a, 5*k - 2*a = a + 2 for k. -5 Solve 31*b - j + 45 = 0, 2100*b = 2099*b - j + 13 for b. -1 Solve -i + z + z = -14, 119*z + 31*z + 19*z = -252 + 759 for i. 20 Solve 3*b = -5*f - 10 + 15, 0 = -3*b + 1 - 1 for f. 1 Solve -3*q + 23*q + 3 = -97, 96 - 266 = -5*a + 4*q for a. 30 Solve -2*x = -4*j + 68, x - 1026 = 10*j - 1068 for x. -32 Solve -l + i - 14 - 41 = 4*i - 6*i, i + 163 = -45*l for l. -4 Solve 76*q - 79*q = 3*w + 3, -4*q = -q + 5*w - 15 + 22 for q. 1 Solve 0 = -55*z - 2*l + 285, 0*z + 3*z + 10 = -147*l + 152*l for z. 5 Solve 3*d + 803*a + 3 - 36 = 806*a, -4*a - 40 = -2*d for d. 2 Solve f = -2*b + 8, 21*b + 9 - 9 = f + f + 9 - 0 for b. 1 Solve 0*f + 40*g - 35*g = 2*f - 54, -6*f - 4*g - 66 = 0 for f. -3 Solve -9*x = -5*z + 303, 77335*z = 77333*z + 5*x + 124 for z. 57 Solve 4*s - 8*c - 24 = 0, -44646 = -4*s - 3*c - 44677 for s. -4 Solve 3*u + 67 = -3*u + 10*t - 5*t, 3*u + 8*t - 59 = -5*t - 3*t for u. -7 Solve 4*g + 160 = -6267*i + 6262*i, 2*i + 8*g + 217 = 3*g for i. 4 Solve 382*r - 2 = 380*r + 8, 64 = -6*x + 2*r for x. -9 Solve 0 = -j + 60, 25*i + 3*j + j = 22*i + 5*j - 66 for i. -2 Solve -203 = -a - 186, -14*y + 25*y - 12*y - 8*a = -141 for y. 5 Solve -3*s - 10*s + 9*s = 2*l - 178, 32 = -5*l + 4*s - 125 for l. 3 Solve -5*q + 4*z - 11 = 23 - 16, -6*q = -3*z + 18 for q. -2 Solve q - 8954*c + 8955*c = -17, -3*q - 22 - 13 = 2*c for q. -1 Solve 1950*h + 1949*h + 17 = 3903*h + a, -4*h - 8*a + 52 = 0 for h. 3 Solve -77 = 11*g, 21*t - 26*t - 20 = 5*g + 25 for t. -2 Solve 54 = 2*c - c - 4*z, 2*c - 218*z = -223*z - 61 for c. 2 Solve -2*h = -6*h + 4*h + 2*h - 38, 5*w + 184 = 4*h + 7*h for w. 5 Solve 0 = -g - 4*f + 2*f - 16, -g - 16 + 21 = -f - 3 for g. 0 Solve -13*r - 2*k - 224 = 0, 40*r + 44 = 37*r - 2*k for r. -18 Solve -3*d = z - 95, 3*d - 94059839*z + 94059824*z = 15 for d. 30 Solve 0 = -5*c + 3*a - 148, -2*c - 4*a = 66599 - 66545 for c. -29 Solve -v = 4*d - 26, -301155*d + 301154*d = 3*v - 23 for v. 6 Solve 4*c + 3*n - 65 = 0, -8*c + 9*n = 13*n - 5*n - 137 for c. 17 Solve 2*y - 3*p - 51 = 0, 29*p = 5*y + 51*p - 26*p - 110 for y. 18 Solve 168*m + 62 = -4*h + 173*m, -m - m + 32 = 2*h for h. 2 Solve -19*c - 2*w + 260 + 1298 = 0, -4*c = -5*w - 328 for c. 82 Solve 4*c + 485 = -5*p, -1847*p + 155 = -c - 1837*p for c. -125 Solve 1241*k + 24 + 58 = 1243*k + 4*w, k - 3947 = -219*w for k. 5 Solve -5*y = 4*b + 4, 8454*y - 8 = b + 8457*y for b. 4 Solve -5*p - 5*y = -5, 121*p - 24*y = 116*p + 34 for p. 2 Solve -17560*b + 391 = -17555*b + 7*o, -2*o = -116 for b. -3 Solve 3*o + 4*b + 10244644 - 10244641 = 0, 5*o + 4*b = -5 for o. -1 Solve 23*l - 4*q + 19 = -8*q, q + 3 = 4 for l. -1 Solve 5*r + 29 - 8 = -2*z - 12, 0 = 3*z + 6*r + 42 for z. -4 Solve 52*w - 76 = 4*m - 388, 0*m - 10 = -m - 4*w for m. 26 Solve 22*o - h = -45, 2*o + 112 = 55*h + 53 for o. -2 Solve 74*j - 5*u + 240 = 79*j, 0 = -9*j - 25*u + 1168 for j. 2 Solve 676*x - 50 = 681*x - 3*s, -3*x + 2*s - 6*s = -57 for x. -1 Solve -47*i - 48*i + g + 33 = -90*i, -5*i + 9*g + 189 = -4*g for i. 4 Solve 4*g + g + 310 = 5*r, -1883 + 1789 = 17*g - 2*r for g. 2 Solve -48*y - 4*b = 552 - 876, 2*b = 2*y - 20 for y. 7 Solve 12*j + 4*f + 167 = -45, -j = f + 19 for j. -17 Solve -c + 49 = -0*j + j + 38, 39*j + 173 = 4*c for c. 14 Solve n + 1 = -5*m + 26, 23*m + 34670 = n + 34729 for m. 3 Solve 4*v + 316 = -4*l, -29*v + 20*v + 53*l - 601 = -5*v for v. -84 Solve -3*y + 5*g = -28, 3*y - 42*g - 449 + 347 = 0 for y. 6 Solve 4*d - 6733*a + 6738*a - 8 = 0, 4*a = -76*d - 212 for d. -3 Solve -36*p + 73*p + 2*r - 47 = 36*p, -5*r - 315 = -4*p - 75 for p. 55 Solve f + z = 10, 7*f - 7723 + 7651 = -5*z for f. 11 Solve -4284*z - 4283*z + 12838*z - 10 = 4277*z - 2*j, j + 23 = -4*z for z. -4 Solve -2392*q = -2397*q - 4*t - 79, 3*q = 5*t + 145 for q. 5 Solve -l + 9*i + 10 = 4*l + 4*i - 5, 4*i = -32 for l. -5 Solve -5*n = -61*v + 65*v + 53, -3 - 9 = -4*n for v. -17 Solve 0 = 7*a - 5*q + 45, q = 1251*a - 1249*a + 9 for a. 0 Solve z - 4*n - 16 = 0, -89 = -2822619*z + 2822615*z - 3*n - 6 for z. 20 Solve -14*k - 8*k + 6*p - 137 = -33*k + 10*k + 8*p, 1540 = -22*p for k. -3 Solve 5*p + 4095*m + 19 = 4093*m, 0 = 4*p + 7*m + 53 for p. -1 Solve 14*r + 17415*h = 17410*h + 51, -3*r = -3*h - 15 for r. 4 Solve 5*h = -7*o - 279 + 36, 0 = 5*h - o + 211 for h. -43 Solve 0 = 890*s - 883*s + 616, 0*p + 3*s + 264 = -9*p + 4*p for p. 0 Solve -3*b - 3*t - 153 = 0, -927*b = -897*b + 3*t + 45 for b. 4 Solve 5386*g - 2695*g = 2695*g + b + 1, -b = -2*g + 19 for g. 3 Solve i + 23 = -3*z, 0*i - 2*i - 21346 + 21356 = -0*i - z for i. 1 Solve 40*v - 2*q = 44*v, -4*v - 13*q + 8 = -v + 54 for v. 2 Solve -2*y + 11 = -5*r - 30 - 68, 4*y = 18*y - 3*r - 27 for y. -3 Solve x + 2*k + 5 = 3*k, -k + 106 = -8*x - 112 + 227 for x. 2 Solve -1365*d + 1361*d - 9 = -q, -d + 5*q = 7 for d. -2 Solve -4*q - 5*f = 61, 2308*q = 2303*q + f - 69 for q. -14 Solve 88153*h - 135 = 88148*h, -7*h + 50 = 2*s - 24 - 92 - 27 for s. 2 Solve -2*a + 85 = -269*t + 1466, t + 158 = -2*a + 314 - 187 for a. -18 Solve 2*d - 43 = -3*o - 9, 411*o + 3*d - 54 = 408*o for o. -2 Solve -28 = -11*g + 12*g + 5*n, -g + 2*g + n + 4 = 0 for g. 2 Solve 444*h = 7*k + 441*h + 92, 4*k = -5*h - 19 for k. -11 Solve 0 = s - 4*t - 19, 1822*t = 5*s + 1827*t + 55 for s. -5 Solve 3*f = -r - 0*r - 1, 32 = -5*f + 360*r - 364*r for f. 4 Solve -25*i + 9826*a = 9828*a - 118, -5*i = -3*a + 7 for i. 4 Solve 0 = -157*r + 4553, -7*r = -f - 12*r + 146 for f. 1 Solve -4*h = 44, -h = 635*v - 322*v - 317*v + 11 for v. 0 Solve -4*v - 9584*a + 20 = -9574*a, -3*a + a = -5*v - 33 for v. -5 Solve 5*q - 3*f - 24 = f, -74*f = 4*q - 40*f - 36*f - 12 for q. 0 Solve -5*q + 186 - 161 = 0, -2*q - 87 = -6*o - 5*q for o. 12 Solve -36*i - 8*i = 3*s + 19*i - 339, s - i - 3*i + 12 = 0 for s. 8 Solve 2*o = o + 2*y - 16, o - 836 + 944 = 25*y for o. -8 Solve -3*u + 10 = k, 5*k + 1253 - 2658 + 1334 = 6*u for k. 13 Solve 523 = 5*r + 3*k, -1725 = -18*r + 2*k - 771 + 980 for r. 107 Solve 0 = 2*r + 4*t + 76 - 94, r + 9 = 4*t for r. 3 Solve 0 = -3*r - 9*s - 246, 99*r - 7*s - 202 = 104*r for r. -4 Solve -326925*i + 326917*i - 2*q + 86 = 0, 0 = -4*i + 5*q - 311 for i. -4 Solve -6*x + 1998 = -47*t, -2*x = -4*t + 240 - 416 for t. -42 Solve v = 610*q - 609*q, -7*v + q = v + 4*q + 55 for v. -5 Solve -3*k - 157 = 2*o, k + 24366*o - 24371*o + 28 = -30 for k. -53 Solve -3*r - 16*p - 13*p = -32*p - 27, 0 = 36*r + 5*p - 529 for r. 14 Solve -7*n - 23 = -5*s, -1415*n + 1420*n + 19 = 4*s for n. 1 Solve -f + 228 = -5*g, -26868*f + 3*g + 146 = -26872*f for f. -2 Solve 5*t - 2*n + 9 = 0, 0 = 13*t - 16*t - n - 1 - 0 for t. -1 Solve 0 = -2*h - 4*t - 18, 2 - 4 = -7*h + 8*h - t - 5 for h. -1 Solve -7*h + 3*p - 38 = 0, p - 8528200 + 8528199 = 0 for h. -5 Solve 7*s - 4*b = -31, 15*b = -15*s + 40*b - 22*b - 33 for s. -1 Solve 15*j + 5*d = 0, 3*j + 11*j + 2*j + 0*j - 13*j - 5*d = -18 for j. -1 Solve 3*o + 27 = 4*d, 7*d + 22940 = 5*o + 22987 for o. -1 Solve -3*s + 55 = 4*b, 2*s + 38 = -4*b + 8*b + 8*s - 56 for b. 4 Solve -4*y = -17*i - 61 + 442 + 388, 0 = -i + y + 46 for i. 45 Solve 30 = 2*n - 5*s, -n - 163*s = -161*s - 27 + 30 for n. 5 Solve 4*z - 36 = 4*l, 5*z + 17*l = -4*l + 19*l + 66 for z. 12 Solve 15*z + 31 = -5*o - 77 - 12, 2*o - 4*z + 55 = 27 for o. -18 Solve -2*t - y - 34 = 0, -y = -22353 + 22357 for t. -15 Solve -s - 6*j = -2*j + 5, 50*s - 51*s = j + 5 for s. -5 Solve 44 = -2*a + 13*x, 880*x = 8*a + 875*x + 82 for a. -9 Solve 0 = s - 2*w - 3*w -
{ "pile_set_name": "DM Mathematics" }
3, -477360? -477357 What is the next term in -939, -7989, -27533, -65949, -129615? -224909 What is the next term in -380861, -762755, -1144649? -1526543 What comes next: 14898752, 14898751, 14898750? 14898749 What comes next: 6348039, 12696071, 19044103? 25392135 What is next in 18667, 149344, 504057, 1194826, 2333671, 4032612? 6403669 What comes next: 149537, 299087, 448637, 598187, 747737? 897287 What is the next term in -322147027, -322147032, -322147041, -322147054, -322147071, -322147092, -322147117? -322147146 What comes next: -6878263, -6878256, -6878249, -6878242, -6878235? -6878228 What is the next term in 466773, 934731, 1402689? 1870647 What is the next term in 2424718, 4849445, 7274172, 9698899, 12123626, 14548353? 16973080 What is next in 34816, 139347, 313590, 557545, 871212? 1254591 What comes next: -927747300, -927747301, -927747302, -927747303, -927747304? -927747305 What comes next: -2203542, -4407131, -6610722, -8814315, -11017910, -13221507? -15425106 What is the next term in 377280, 754547, 1131814? 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2839530 What comes next: -961, -1078, -619, 416, 2027, 4214? 6977 What is next in -765053, -764526, -763985, -763424, -762837? -762218 What comes next: -5174, -15115, -25056, -34997, -44938, -54879? -64820 What is the next term in -147209, -588851, -1324927, -2355437, -3680381? -5299759 What is next in -239689, -478741, -717793, -956845, -1195897, -1434949? -1674001 What is next in 127215, 221073, 314941, 408825, 502731? 596665 What comes next: -1508, -2974, -4416, -5828, -7204, -8538, -9824? -11056 What is next in 435351, 1741354, 3918009, 6965310, 10883251, 15671826, 21331029, 27860854? 35261295 What is the next term in -210462919, -210462890, -210462859, -210462826? -210462791 What is next in -3558123, -7116143, -10674163, -14232183? -17790203 What comes next: 11652593, 23305184, 34957775, 46610366, 58262957? 69915548 What is next in -392291, -392353, -392445, -392567? -392719 What is the next term in 82, 518, 1418, 2896, 5066, 8042, 11938, 16868? 22946 What comes next: -7434997, -7434993, -7434989, -7434985, -7434981, -7434977? -7434973 What is next in -246, 1801, 5312, 10293, 16750, 24689, 34116, 45037? 57458 What is next in -3886, -15052, -33516, -59278? -92338 What comes next: 2667, 10599, 23837, 42387, 66255, 95447? 129969 What comes next: -12053057, -12053060, -12053063? -12053066 What is next in 263375, 526722, 790045, 1053344? 1316619 What comes next: 588395, 588422, 588461, 588512, 588575, 588650, 588737? 588836 What is next in 15289, 12342, 9395, 6448, 3501? 554 What is next in 386636353, 386636355, 386636357, 386636359, 386636361, 386636363? 386636365 What comes next: 57, -60, -459, -1248, -2535, -4428, -7035, -10464? -14823 What is next in -12764, -12796, -12868, -12998, -13204, -13504, -13916, -14458? -15148 What is next in 33865, 135438, 304713, 541684, 846345? 1218690 What is next in -2224753334, -2224753335, -2224753336, -2224753337, -2224753338, -2224753339? -2224753340 What comes next: 449076, 898437, 1347800, 1797165, 2246532, 2695901, 3145272? 3594645 What is next in -640781, -640772, -640765, -640760? -640757 What comes next: 233, 1081, 2159, 3455, 4957, 6653, 8531, 10579? 12785 What is the next term in -19880432, -39760934, -59641436, -79521938? -99402440 What is next in 415850509, 415850507, 415850505? 415850503 What is next in -85, -177, -123, 245, 1095, 2595, 4913, 8217? 12675 What is the next term in -19649, -78666, -177051, -314804, -491925, -708414, -964271? -1259496 What comes next: -826287, -826301, -826303, -826287, -826247, -826177? -826071 What is next in 173000, 173040, 173080, 173120, 173160, 173200? 173240 What is the next term in -975046, -1950090, -2925134, -3900178, -4875222? -5850266 What comes next: 976995, 1953962, 2930929, 3907896, 4884863? 5861830 What comes next: 7050, 7094, 7180, 7308, 7478? 7690 What is the next term in 71652, 71644, 71624, 71586, 71524, 71432, 71304, 71134? 70916 What is next in 84564, 84398, 84232? 84066 What is next in 1116892, 2233790, 3350688, 4467586, 5584484? 6701382 What is the next term in 723, 2886, 5049? 7212 What is the next term in 6548, 13052, 19572, 26108, 32660, 39228? 45812 What comes next: 1505893, 3011778, 4517659, 6023536, 7529409, 9035278? 10541143 What is next in 145, 33, -345, -1133, -2475, -4515, -7397? -11265 What is the next term in -52025, -103581, -154191, -203381, -250677, -295605? -337691 What comes next: 184, -304, -760, -1178, -1552, -1876, -2144? -2350 What comes next: -460329, -460315, -460289, -460251, -460201? -460139 What is the next term in -19417, -18949, -18469, -17971, -17449, -16897, -16309? -15679 What comes next: -2273, -9660, -22167, -39800, -62565, -90468, -123515? -161712 What is the next term in -177, -1017, -3557, -8649, -17145? -29897 What is next in -96092, -192188, -288314, -384470? -480656 What is next in 12842, 25652, 38462, 51272? 64082 What comes next: 3219629, 6439248, 9658859, 12878462, 16098057, 19317644, 22537223? 25756794 What is the next term in -312291, -312326, -312353, -312372? -312383 What is the next term in 135666119, 271332254, 406998401, 542664566, 678330755, 813996974, 949663229? 1085329526 What comes next: 23699040, 23699039, 23699038? 23699037 What comes next: -1805, -7592, -17153, -30488, -47597, -68480? -93137 What is next in -660, -1302, -2006, -2772, -3600, -4490, -5442? -6456 What is the next term in 3224907, 3224946, 3225003, 3225072, 3225147, 3225222? 3225291 What is next in -3459, -3357, -3203, -3009, -2787, -2549, -2307, -2073? -1859 What is the next term in 2704080, 5408138, 8112196? 10816254 What is the next term in -942355, -7538813, -25443483, -60310471, -117793883, -203547825, -323226403, -482483723? -686973891 What is the next term in -225127, -900831, -2027013, -3603679, -5630835, -8108487, -11036641? -14415303 What is next in 548288073, 1096576148, 1644864223, 2193152298, 2741440373? 3289728448 What comes next: 32609635, 65219275, 97828915? 130438555 What comes next: 3833407, 7666732, 11500057, 15333382? 19166707 What is the next term in 498195, 498270, 498345, 498420, 498495? 498570 What is next in -49721, -198904, -447549, -795656? -1243225 What is next in 29187, 28973, 28817, 28719, 28679? 28697 What comes next: -196, -458, -778, -1156, -1592? -2086 What is the next term in -5350346, -5350342, -5350338, -5350334? -5350330 What is the next term in 27646348, 27646343, 27646338? 27646333 What is the next term in 21534, 21415, 21154, 20703, 20014, 19039, 17730, 16039? 13918 What comes next: 57525, 460323, 1553649, 3682767, 7192941, 12429435, 19737513? 29462439 What is the next term in -240445, -480970, -721511, -962074, -1202665? -1443290 What is next in 369, -704, -3453, -8664, -17123, -29616, -46929? -69848 What is the next term in 64458, 258112, 580866, 1032720, 1613674? 2323728 What is the next term in -1620003, -3239977, -4859955, -6479937? -8099923 What comes next: 677, 2580, 5741, 10172, 15885, 22892, 31205, 40836? 51797 What comes next: -4324, -8672, -13026, -17386? -21752 What comes next: 2802057, 5604127, 8406207, 11208297, 14010397? 16812507 What is next in 30810, 61605, 92378, 123123, 153834? 184505 What is the next term in 56272869, 112545739, 168818609? 225091479
{ "pile_set_name": "DM Mathematics" }
+ 4)*(7*c**3 + c**3 - 4*c**3) + 2*c**4 + c**4 - 2*c**4). -24*c**5 Expand (10*b + 2*b - 15*b)*(2*b - 7*b + b) + b**2 - b**2 + 2*b**2. 14*b**2 Expand (-11 + 10 - 6)*(p + 284 - 297 - 3*p). 14*p + 91 Expand 11*y - 5*y + 6*y + (-2*y + y + 0*y)*(-7 + 3 - 4). 20*y Expand (5*p + 6*p + 2*p)*(2*p**3 - 3*p**3 - p**3)*(-2*p + 5*p + 0*p). -78*p**5 Expand (2*i - 4*i**2 + i**2 + 2*i**2)*(1 - 1 - i**2 + (-4*i + 2*i + i)*(i + 0*i - 3*i) + i**2 - 6*i**2 + 3*i**2 + (-36 + 36 - 9*i)*(5*i - 13*i + 6*i)). -17*i**4 + 34*i**3 Expand (-5*w - 4*w + 2*w)*(-2*w**2 + 4*w**2 - 4*w**2)*(-2*w**2 + 4*w + w**2 + 0*w). -14*w**5 + 56*w**4 Expand (1 + 2*d - 1)*(-5*d - d + 5*d) - d**2 - 6 + 6 + (-2*d + 4*d - 4*d)*(-3*d + 2*d + 0*d)*(-1 + 18 + 4). 39*d**2 Expand 6607 - 6607 - 56*u - 2*u + 3*u + 0*u + u - 2*u + 0*u - 3*u - 2*u + 3*u - u - u + 4*u + (-3 + 4 - 3)*(0 + 0 - 2*u) - 2*u - 3 + 3. -54*u Expand (-5 + 1 - 5*n**3 + 2*n**3)*(10*n + 103 - 103). -30*n**4 - 40*n Expand (334*l - 1 - l + 1)*(0 - 3 + 5). 666*l Expand (2*y - 7*y + 2*y)*(y + 2*y + y)*(-4*y - 9 + 9). 48*y**3 Expand 7*q**3 + 0*q**3 - 4*q**2 - 10*q**3 + 4*q**3 + 0*q**3 - 3*q**3 + (0 + 1 + 1)*(q**3 + q**2 - q**2) - 2*q**2 + 2*q**2 + 2*q**3. 2*q**3 - 4*q**2 Expand ((z**2 - 3 + 3)*(-4*z + 4*z + 3*z) + 2*z**3 - 7*z**3 + 3*z**3 + z**3 - 4*z**3 + z**3)*(2*z - 43 + 43). -2*z**4 Expand (0 - 1 - 6*f**4 + 21*f**4)*(-4*f + 5*f + f). 30*f**5 - 2*f Expand -2*s + s + 3*s + (2 + 0 - 3)*(7*s - 17*s + 2*s) + 0 + 3 - s + 0*s. 9*s + 3 Expand (285 + 27 + 432 - 1555 - 2*i)*(-i + 1 - 1). 2*i**2 + 811*i Expand (-2 - 2 + 3)*(2*y - y**4 - 2*y) + y**2 - 1438*y**4 - 3*y**2 + 880*y**4. -557*y**4 - 2*y**2 Expand (-a**2 + 9*a**2 - 5*a**2)*(-14402 + 14402 + 27*a). 81*a**3 Expand (u - 3*u + 0*u)*(3 - 3 - 1) + 27*u - 237 + 237. 29*u Expand (-2*y + 0*y + 6*y)*(-6 + 3 + 0) + 15 - 15 + 13 - y. -13*y + 13 Expand (-20*n - 33*n - 16*n)*(-2*n + 2*n - 2*n**2 + (-38 + 8*n + 38)*(n + n + 0*n)). -966*n**3 Expand -6*s**4 + 0*s**4 + 2*s**4 + (-s**3 + s**3 + 6*s**3)*(-1 - 7*s + 1). -46*s**4 Expand (0*u**3 - u**3 + 2*u**3)*(-5*u + 2*u + 2*u + 1) + (8*u + 0*u - 6*u)*(3*u**3 + 5 - 5). 5*u**4 + u**3 Expand (42*c**2 + 86*c**2 + 7*c**2)*(-2*c**3 - 2 + 2). -270*c**5 Expand -2*c - c + 2*c + (4*c - c - c)*(-1 + 1 - 1) - 4 + 4 - 2*c - 3*c + 2*c - c + 6*c + c - 2*c + (0 + 4 - 5)*(-c + c + c) - 3*c + 0*c - 2*c. -8*c Expand 2*r - 4*r**2 - 4*r + 2*r**2 + (2*r - 4*r - 3*r)*(3 - r - 3) + 2 - 2 + r**2. 4*r**2 - 2*r Expand (-s**2 + 1 - 2*s + 0*s**2 - 6*s**2)*(3 - 2 + 0). -7*s**2 - 2*s + 1 Expand (-673 + 14*z + 673)*(0 - 3 + 1) - z - 3*z + 6*z + (2 + 2 - 3)*(-z - 2*z + z) + z - z - 2*z. -30*z Expand ((0 + 3 - 2)*(15*h**3 + 20 - 20) + (0*h + h + h)*(3*h + 2*h**2 - 3*h))*(-5*h**2 + h**2 + 5*h**2) - 5*h**2 + 5*h**2 - 2*h**5. 17*h**5 Expand (-9 + 7*v + 7 + 5*v)*(25*v - 31*v**2 - 25*v). -372*v**3 + 62*v**2 Expand (-3*v**2 + 5*v**2 - 4*v**2)*((-7*v + 6 - 6)*(-1 + 4 - 6) + (-2 + 1 + 0)*(-v + 2*v + 0*v) - 2 + 2*v + 2). -44*v**3 Expand (1 - 1 + j**2)*(-4922 - 379*j + 4922). -379*j**3 Expand (6*v - 16 - 6*v - 3*v**2)*(-2 + 2 - 2)*(6*v - 3*v - v + (-1 - 2*v + 1)*(-3 - 2 + 3)). 36*v**3 + 192*v Expand (-4*m**3 + 4*m**3 + 12*m**4)*(m + 3 - 3 + (1 + 1 - 4)*(0 + 0 - m) + 5*m + 2*m - 2*m). 96*m**5 Expand (2*x + x - 6*x)*(96 + 50 - 28)*(-3 - 1 + 3). 354*x Expand 291 - 291 + 25*c**3 + c**3 + 10*c**3 - 2*c**3 + (3 - 3 - c)*(c**2 - c + c) - c**3 + 0 + 0. 32*c**3 Expand (-8*r**2 - 26 + 26)*(0 + 2*r + 0)*(r + 17*r + 2*r). -320*r**4 Expand (3*x**2 + 0*x + 0*x)*(-3*x + 32*x - x)*(4*x - 2*x - 4*x). -168*x**4 Expand (23*o**4 - 43*o + 43*o)*(18 - o + 16 - 15). -23*o**5 + 437*o**4 Expand (0*g - 5*g - 6*g)*((-1 + 1 + 2)*(1 + 0 + 0) - 1 + 1 - 1 - 13 - 8 + 7). 143*g Expand (-1 + 1 + 2*t)*(-2 - 1 + 2) - 222*t + 108*t + 100*t. -16*t Expand (-69*j**2 - 19*j - 13*j**3 + 20*j + j)*(0 + 1 - 3). 26*j**3 + 138*j**2 - 4*j Expand (7 + 7 - 7)*(-2 + 2 - 2*l**2) + 28*l**2 - 14*l**2 + 12*l**2. 12*l**2 Expand 2*q + 2*q**5 - 2*q + (-1 + 1 - 2*q**2)*(-2*q**3 - 1 + 1) + q**5 - q**5 + 2*q**5 - 291*q**5 + 158*q**5 + 157*q**5 - 4*q**5 - 4*q**5 + 0*q**5. 24*q**5 Expand 18 - 11 - 8 + 22*t**5 + (-t**3 - t**3 + 3*t**3)*(4 - 4 - t**2) + t**5 + t**5 - 3*t**5. 20*t**5 - 1 Expand (-926 + 27*h**2 + 926)*(-h**2 + 4*h**2 - 4*h**2) + h**4 - 6*h**4 + 2*h**4. -30*h**4 Expand (-4*u + u + 5*u)*(-u**4 + u**4 - u**4) + 212*u**4 - 47*u**5 - 212*u**4. -49*u**5 Expand (-12 - 4 - 4)*(3 - 2*s - 3)*(-3*s + 2*s + 2 - 3*s). -160*s**2 + 80*s Expand -3*h - 3*h**2 + 12*h - 7*h - 8*h**2 + 18*h - 18*h + 3*h**2 - 4*h**2 + 3*h**2 + (0 + 2 + 0)*(-4*h**2 - 3*h**2 + 5*h**2) + 0*h**2 - 5*h**2 + 2*h**2. -16*h**2 + 2*h Expand (-1 + 4 - 2)*(-332*q**2 + 20*q**3 + 332*q**2) + 3*q**3 + 0*q**3 - 2*q**3 + (4*q**2 - q**2 - 4*q**2)*(-2*q - 1 + 1). 23*q**3 Expand ((-14 + 10*n + 14)*(5 - 4 + 1) + (5 - 3 - 1)*(-7*n + 4*n - 6*n))*(1 + 0 + 1). 22*n Expand (-3*k - 2*k - k)*(-4 + 5 - 5)*(1 + 5 - 4)*(0 + 2*k + 0). 96*k**2 Expand (1 - t - 1)*(4 - 1 - 2) + 2*t + 3*t - 6*t + (-t + 0*t + 3*t)*(-6 - 3 - 6). -32*t Expand (-4*i - 4*i - 2 + 5*i)*(21 + 103 + 37). -483*i - 322 Expand (3*x**5 + 2*x**5 - 7*x**5)*(45 - 87 - 29). 142*x**5 Expand (8 - 5*n - 8)*(4*n + 2*n - 3*n)*(0 - 2 + 4)*(-6 + 0 + 3) + (2*n - n + 0*n)*(2 - 2 + 2*n). 92*n**2 Expand (-27*j**2 - 73*j + 73*j)*(1064 + 37*j - 1064). -999*j**3 Expand (-54*o**3 + 118*o**3 - 57*o**3)*(-2*o + 4*o - 4*o)*(o - 6*o + 3*o). 28*o**5 Expand (0 + 2*i + 0)*((-4*i + 4*i + 2*i)*(-8 - 15 - 1) + (-3*i + 2*i + 3*i)*(2 - 5 - 2) + i + 4 - 4). -114*i**2 Expand -2*t + 3 - 3 - 3*t + 2*t - t + 7*t - 8*t - 11*t + (-4 - 2 + 4)*(0*t + 4*t - 2*t). -20*t Expand (-2083 + 2083 - 2*t)*((1 + 3 - 2)*(2*t - t - 3*t) + 0*t - 2*t + 3*t + 3*t + 0*t - 4*t). 8*t**2 Expand (0 - 19 - 2)*(5*b - 5*b + b)*(48 - 48 - 2*b + 0*b + 2*b + 0*b + (b - 2*b + 0*b)*(0 - 3 + 2) + 2 + 2*b - 2). -63*b**2 Expand 4*y**5 - 12*y**5 - 10*y**5 + 3*y**5 + (4*y - 4*y + y)*(-3*y + 3*y - 2*y**4). -17*y**5 Expand (2*o - 4*o + 3*o)*(-139*o**3 + 100*o**3 - 186*o**3). -225*o**4 Expand ((1 + 0 - 2)*(5 + 0 + 10) - 1 - 4 + 3 + (5 - 3 - 1)*(4 - 4 - 2) - 1 + 4 - 5 - 1 + 4 - 5)*(i**2 + i**2 - i**2). -23*i**2 Expand g - 6*g + 2*g + (3 - 1 - 1)*(-5 - g + 5) + 25*g + 3*g + 5*g + (-4 + 6 - 3)*(g + g - g). 28*g Expand -3*n + n + n + (1 - 4 + 2)*(6*n - 5*n + 7*n). -9*n Expand (-l**4 - l**2 + l**2)*(0*l + 3*l - 5*l) + 3*l**5 + 2*l**5 - 3*l**5 + 2*l**5 + 4*l**2 - 4*l**2 - 39*l**2 + 4*l**5 - 2 - 49*l**2 + 93*l**2. 10*l**5 + 5*l**2 - 2 Expand (-1 + 2*h + 1)*(3 - 3 - 2) + 11*h - 9*h - 36*h - 2*h - 3*h + 3*h - 2*h + 5 - 5 + (-1 - 4 + 4)*(2*h + 3*h - 3*h) + 3 - 3 + 3*h. -41*h Expand (-3*u + 0*u + 4*u)*(-158 + 158 + 9*u**2)*(-3*u + 3*u - 2*u). -18*u**4 Expand (-2*b + 0*b + b)*(719*b - 719*b - 49*b**3). 49*b**4 Expand -3*w**3 + w**3 + 0*w**3 + (12*w - 12*w + w**2 - 2)*(-w - 13*w - 5*w). -21*w**3 + 38*w Expand -a**3 + 2*a - 2*a + a**2 - a**2 - 2*a**3 + (0 + 0 - 2)*(-2*a**3 + 0*a**3 + 0*a**3) + 0 + 2*a**3 + 0 + 418 + 443 - 2*a**3 - 833. a**3 + 28 Expand 2174 - 2174 + 98*d + 1 - 1 + d + (-3*d + 5*d + 0*d)*(0 + 1 + 1) - d + 3*d - d. 104*d Expand 5*n**3 + 2*n**3 - 3*n**3 + (7*n - 4*n - 2*n)*(-7 - n**2 + 7) - 5*n**3 - 3*n**3 - 7*n**3. -12*n**3 Expand (2 - 1 + 0)*(-3 - 1 + 1)*((-3 - 3 + 7)*(-2*u**2 + 0*u**2 + u**2) - u**2 - u**2 + u**2 + 37*u**2 - 39*u**2 - 13 + 3). 12*u**2 + 30 Expand (0 + 0 - 8*g)*(-g - 3*g + 2*g) + 14*g**2 + 69*g**2 + 24*g**2 + (-g + 0*g + 2*g)*(-1 + 1 - 2*g). 121*g**2 Expand (14*x - 10*x + 5*x)*(-9 + 5 - 4)*(-2*x**2 - 4*x**2 + 4*x**2). 144*x**3 Expand (-2*h + 3*h + 0*h)*(-107*h**2 + 368*h - 368*h) + 0*h**3 + 0*h**3 + h**3. -106*h**3 Expand (201*y**5 + 2211*y**2 - 2211*y**2)*(-4 + 3 + 2). 201*y**5 Expand (0 + 2*n + 0)*(-37 - 103 + 51) + (-3*n + 3*n + 2*n)*(2 - 1 + 8). -160*n Expand (2 + 0 + 0)*(2*q + q - 4*q)*(-1 - 5 - 1)*(-1 + q + 1) + 0*q**2 - 2*q**2 - 2*q**2. 10*q**2 Expand 0*q**5 - 2*q**5 + 5*q**5 + (77*q + 23*q + 59*q)*(3*q**4 + q**4 - 7*q**4). -474*q**5 Expand (-3*m**3 + 4*m**3 + m**3)*(-10 + 0 - 2)*(-3 + 0 + 0). 72*m**3 Expand (2 - 1 + 0)*(-4 + 5 + 1 + (4 + 0 - 2)*(-2 + 1 - 1))*((-a + 0*a + 2*a)*(1 + 0 - 3) + 6*a - 5*a + 5*a). -8*a Expand (44*v - 44*v - 26*v**2)*(v - v + v + (3*v + v - 3*v)*(3 - 5 + 1) - 3*v + 4*v - 3*v). 52*v**3 Expand (-6*k**2 - 2*k**3 + 6*k**2)*(11 - 14 + 5 + 96*k). -192*k**4 - 4*k**3 Expan
{ "pile_set_name": "DM Mathematics" }
emainder when 50288 is divided by 47? 45 What is the remainder when 98266 is divided by 2233? 14 Calculate the remainder when 19495 is divided by 1946. 35 Calculate the remainder when 110918 is divided by 798. 794 Calculate the remainder when 295313 is divided by 298. 293 What is the remainder when 84425 is divided by 53? 49 Calculate the remainder when 177017 is divided by 37. 9 What is the remainder when 180594 is divided by 210? 204 What is the remainder when 90769 is divided by 27? 22 What is the remainder when 11771 is divided by 740? 671 Calculate the remainder when 6577 is divided by 1309. 32 Calculate the remainder when 1115 is divided by 30. 5 Calculate the remainder when 30307 is divided by 30253. 54 What is the remainder when 1293 is divided by 9? 6 Calculate the remainder when 666992 is divided by 223. 222 What is the remainder when 37377 is divided by 37? 7 What is the remainder when 316 is divided by 157? 2 Calculate the remainder when 464 is divided by 245. 219 Calculate the remainder when 54380 is divided by 640. 620 What is the remainder when 1091 is divided by 134? 19 What is the remainder when 16562 is divided by 1693? 1325 Calculate the remainder when 154998 is divided by 408. 366 What is the remainder when 6208127 is divided by 317? 316 Calculate the remainder when 27723 is divided by 79. 73 What is the remainder when 260326 is divided by 3471? 1 What is the remainder when 393942 is divided by 117? 3 Calculate the remainder when 4302 is divided by 47. 25 Calculate the remainder when 113406 is divided by 127. 122 What is the remainder when 603785 is divided by 31? 29 What is the remainder when 2066 is divided by 176? 130 What is the remainder when 320177 is divided by 101? 7 Calculate the remainder when 377275 is divided by 350. 325 What is the remainder when 33724 is divided by 167? 157 Calculate the remainder when 286 is divided by 76. 58 Calculate the remainder when 1033345 is divided by 12. 1 Calculate the remainder when 1447 is divided by 55. 17 What is the remainder when 37650 is divided by 4702? 34 What is the remainder when 11084 is divided by 222? 206 Calculate the remainder when 807 is divided by 804. 3 What is the remainder when 11135 is divided by 5560? 15 Calculate the remainder when 54188 is divided by 27076. 36 Calculate the remainder when 16644 is divided by 1038. 36 What is the remainder when 2839 is divided by 940? 19 Calculate the remainder when 614 is divided by 62. 56 What is the remainder when 138924 is divided by 30? 24 What is the remainder when 62322 is divided by 318? 312 What is the remainder when 1228 is divided by 211? 173 Calculate the remainder when 2397780 is divided by 26. 8 What is the remainder when 1614 is divided by 417? 363 What is the remainder when 11119 is divided by 15? 4 Calculate the remainder when 1139 is divided by 36. 23 What is the remainder when 2800 is divided by 240? 160 Calculate the remainder when 18035 is divided by 1639. 6 Calculate the remainder when 21816 is divided by 22. 14 What is the remainder when 364256 is divided by 52? 48 Calculate the remainder when 162114 is divided by 9. 6 What is the remainder when 120989 is divided by 13? 11 Calculate the remainder when 440 is divided by 48. 8 What is the remainder when 14234 is divided by 4736? 26 Calculate the remainder when 248700 is divided by 9. 3 What is the remainder when 842 is divided by 10? 2 Calculate the remainder when 9696 is divided by 311. 55 What is the remainder when 10253 is divided by 1277? 37 Calculate the remainder when 15332 is divided by 66. 20 Calculate the remainder when 50622 is divided by 25303. 16 Calculate the remainder when 164081 is divided by 6077. 2 Calculate the remainder when 7468 is divided by 3177. 1114 What is the remainder when 26403 is divided by 8780? 63 Calculate the remainder when 265507 is divided by 18. 7 What is the remainder when 93655 is divided by 35? 30 Calculate the remainder when 56383 is divided by 35. 33 Calculate the remainder when 36686 is divided by 1528. 14 What is the remainder when 1869 is divided by 108? 33 Calculate the remainder when 41182 is divided by 463. 438 What is the remainder when 64403 is divided by 6? 5 Calculate the remainder when 36634 is divided by 1362. 1222 Calculate the remainder when 20682 is divided by 15. 12 Calculate the remainder when 41493 is divided by 29. 23 What is the remainder when 44615 is divided by 357? 347 Calculate the remainder when 613 is divided by 533. 80 Calculate the remainder when 29655 is divided by 25. 5 Calculate the remainder when 212733 is divided by 106352. 29 What is the remainder when 90017 is divided by 219? 8 Calculate the remainder when 1992 is divided by 880. 232 Calculate the remainder when 4635 is divided by 20. 15 What is the remainder when 1053672 is divided by 17? 12 Calculate the remainder when 81712 is divided by 20424. 16 Calculate the remainder when 2637 is divided by 2626. 11 Calculate the remainder when 2278370 is divided by 119. 115 What is the remainder when 341160 is divided by 268? 264 Calculate the remainder when 21704 is divided by 482. 14 What is the remainder when 15312 is divided by 1635? 597 Calculate the remainder when 14158 is divided by 392. 46 Calculate the remainder when 364 is divided by 27. 13 What is the remainder when 3401 is divided by 3356? 45 What is the remainder when 3647 is divided by 450? 47 What is the remainder when 5671 is divided by 14? 1 Calculate the remainder when 853 is divided by 750. 103 What is the remainder when 9527 is divided by 27? 23 What is the remainder when 1266326 is divided by 406? 12 Calculate the remainder when 452029 is divided by 224. 221 What is the remainder when 413 is divided by 44? 17 Calculate the remainder when 2123 is divided by 548. 479 Calculate the remainder when 128916 is divided by 44. 40 What is the remainder when 6774 is divided by 77? 75 What is the remainder when 260 is divided by 154? 106 What is the remainder when 6328 is divided by 38? 20 Calculate the remainder when 696982 is divided by 452. 450 What is the remainder when 75600 is divided by 306? 18 What is the remainder when 11124 is divided by 89? 88 Calculate the remainder when 9135 is divided by 15. 0 What is the remainder when 406730 is divided by 101677? 22 Calculate the remainder when 641424 is divided by 5831. 14 What is the remainder when 19043 is divided by 87? 77 Calculate the remainder when 441331 is divided by 1298. 11 What is the remainder when 9527 is divided by 3143? 98 Calculate the remainder when 20718 is divided by 471. 465 What is the remainder when 28114 is divided by 9? 7 Calculate the remainder when 56283 is divided by 18752. 27 Calculate the remainder when 6345 is divided by 528. 9 Calculate the remainder when 7535 is divided by 22. 11 What is the remainder when 404717 is divided by 20? 17 What is the remainder when 5786 is divided by 1422? 98 What is the remainder when 183697 is divided by 3011? 26 What is the remainder when 2050 is divided by 547? 409 Calculate the remainder when 4265 is divided by 158. 157 What is the remainder when 951014 is divided by 44? 42 Calculate the remainder when 14482 is divided by 7240. 2 What is the remainder when 10786 is divided by 142? 136 What is the remainder when 179349 is divided by 19927? 6 What is the remainder when 28478 is divided by 1672? 54 Calculate the remainder when 5142 is divided by 61. 18 What is the remainder when 45170 is divided by 90? 80 What is the remainder when 7908 is divided by 502? 378 What is the remainder when 49546 is divided by 35? 21 What is the remainder when 299552 is divided by 1026? 986 Calculate the remainder when 2523 is divided by 1257. 9 Calculate the remainder when 4138 is divided by 970. 258 What is the remainder when 65776 is divided by 198? 40 Calculate the remainder when 856 is divided by 114. 58 Calculate the remainder when 7263 is divided by 2369. 156 Calculate the remainder when 15253 is divided by 2160. 133 Calculate the remainder when 642968 is divided by 2820. 8 Calculate the remainder when 13557 is divided by 57. 48 What is the remainder when 10666 is divided by 68? 58 Calculate the remainder when 4043 is divided by 478. 219 What is the remainder when 38681 is divid
{ "pile_set_name": "DM Mathematics" }
dps. -162 Let f = 33701500 - 33701458.9999924. Let k = 0.094 - 41.094. Let c = k + f. What is c rounded to six dps? 0.000008 Let q = 852.487 - 852. Let f = q - 0.48696112. What is f rounded to 6 decimal places? 0.000039 Let y = 722454 - 722512.00048. Let h = y + 58. Round h to 3 decimal places. 0 Let f = -30646 + 13797. Let d = f - -86849. What is d rounded to the nearest ten thousand? 70000 Let k = 1031550 + -729750. Round k to the nearest 100000. 300000 Let t = 3.319049058 - 3.319. What is t rounded to 7 decimal places? 0.0000491 Let b = 8947 - 8971.864. What is b rounded to one decimal place? -24.9 Let p = 0.13107 + -44.21307. Let n = -35.5 - 8.5. Let k = n - p. What is k rounded to 2 decimal places? 0.08 Let v = -40.222 + -2.588. What is v rounded to the nearest ten? -40 Suppose 5*r = -b + 289157716, 57831544 = -0*r + r + b. Suppose 18*i + 11895543 - r = 0. Round i to the nearest one hundred thousand. 2600000 Let h = 184 - 183. Let k(n) = 52399999*n**2 + 13*n - 12. Let s be k(h). Round s to the nearest one million. 52000000 Let a = -7623432.00069 - -7623191. Let q = 241 + a. What is q rounded to four dps? -0.0007 Let j = -253 + 723. Let t = 795 - j. Let c = -324.9999649 + t. Round c to 6 dps. 0.000035 Let w = -352.9522 - 0.0478. Let a = w - -352.9999988. Round a to seven decimal places. -0.0000012 Let o = 436.49 - 509.837. Round o to zero dps. -73 Let n = 24816 - 24823.7815. Round n to 1 decimal place. -7.8 Let x = 9.775 + -1.945. Let p = 6.9 - x. Let a = p + 0.99. Round a to two dps. 0.06 Let u = -189.66 + 189.6611889. Round u to 4 dps. 0.0012 Let v = 124 + -117.4. Let x = -36104129.4000156 + 36104136. Let j = x - v. What is j rounded to 5 dps? -0.00002 Let d = -0.331 + 354.331. Let f = 353.214 - d. What is f rounded to one decimal place? -0.8 Suppose -x + 19038 = -103057. Suppose 0 = -4*s + 2277905 + x. Suppose -7*d = -3*d + s. What is d rounded to the nearest 100000? -200000 Let s = -110 + 289.4. Let k = s - 179.402922. Round k to 4 dps. -0.0029 Let w = -1.68 - -1.67. Let a = 0.01000101 + w. Round a to seven decimal places. 0.000001 Let j be ((-10)/(-25))/((-3)/(-240)). Suppose 11*l - 441000 = j*l. Round l to the nearest ten thousand. -20000 Let g = 789418391022 + -789418392326.000000733. Let s = 1304 + g. Round s to six decimal places. -0.000001 Let r = -806 + 1440. Let f be (6024 + -24)/((-1898)/r + 3). What is f rounded to the nearest 100000? 1000000 Let s = 172.359 - 0.359. Let v = s - 171.99999938. Round v to seven dps. 0.0000006 Let p = -28196.4175 + 28196. Round p to 1 decimal place. -0.4 Let q(t) = -t**2 - 23*t - 73. Let h be q(-13). Let d be (38/h)/(4/1014). Round d to the nearest one hundred. 200 Let y = -94.944 - 0.756. Let s = 108.68 + y. What is s rounded to zero decimal places? 13 Let w = -109 - -25. Let j = w - -79.1. Let z = -4.89822 - j. Round z to four decimal places. 0.0018 Let v = -23.7 - 0.3. Let u = 23.83 + v. Let i = 0.1700004 + u. What is i rounded to 6 decimal places? 0 Let j = -83.5 - -83.877. Let p = j - 0.899. What is p rounded to 1 decimal place? -0.5 Suppose -4*k - 5 - 11 = 0, 85 = 5*z + 5*k. Let v(m) = -z*m**3 + 15*m**3 - 14 + 5*m**2 + 9*m + 11*m**2. Let a be v(-18). What is a rounded to the nearest 10000? 40000 Let n = -1133 - -6965. Let g = 5832.28036 - n. Let r = g + -0.28. Round r to four dps. 0.0004 Let k = -394.815 - -322.1. Let y = k - -72. What is y rounded to two dps? -0.72 Let f = -0.022 + 0.122. Let y = -0.5 + -0.2. Let b = f + y. What is b rounded to zero dps? -1 Let y = 121.2 - 121.1870008. Let j = 3.2 + -3.213. Let t = j + y. What is t rounded to seven decimal places? -0.0000008 Let c be (-476)/85*(-106430)/1. Let o be (-8 + c)/(4/(-10)). Round o to the nearest 100000. -1500000 Let l = -0.207 + -0.1008. Let k = l + 0.30777313. What is k rounded to 5 dps? -0.00003 Let c = 135.96111 - 135.319. Round c to 2 dps. 0.64 Let w(u) be the second derivative of 1/3*u**4 + 1/6*u**3 - 39063/10*u**5 - 24*u + 0 - 2*u**2. Let d be w(4). What is d rounded to the nearest 1000000? -5000000 Let y = -4589015856311 - -4589015854179.999998487. Let j = y - -2131. Round j to 7 decimal places. -0.0000015 Let p = 1422 + -720. Let h = p - -433. Let v = 1135.00000553 - h. Round v to 7 decimal places. 0.0000055 Let q = 2.075 - 0.574. Let i = 1.500999089 - q. Round i to seven decimal places. -0.0000009 Let s = -3345.3672 - -3.2672. Round s to the nearest 100. -3300 Suppose 0*u - m = -3*u + 1, 0 = -u - 4*m - 4. Suppose u = 3*f - 4 + 1. Let h be (f - -14)/((-6)/480*6). Round h to the nearest ten. -200 Let j = 1373 + -1372.31. Let u = 5.4712 - 6.161096. Let w = u + j. What is w rounded to 5 dps? 0.0001 Let k = -86347 + 86370.4134. What is k rounded to the nearest integer? 23 Let o = 154028.0000099707 - 154028. Round o to six decimal places. 0.00001 Suppose 5*b = 3*u + 1, -5*u + b = -4*u - 1. Suppose -2*f = -5*x + 3*f - 377495, 0 = u*x - f + 226499. What is x rounded to the nearest ten thousand? -80000 Let j = -12.350473 + 12.344. Round j to four decimal places. -0.0065 Let y = 413.4 + -413.399271. What is y rounded to four decimal places? 0.0007 Let w = -0.067453039 + 0.06746. What is w rounded to 6 decimal places? 0.000007 Suppose 5*g + w - 180639 + 1793894 = 0, 0 = -g + 5*w - 322625. Let i be 8/3*g/36. What is i rounded to the nearest 1000? -24000 Let m = -278548.183 + 278752. Let o = 204 - m. Let l = 0.1830087 - o. What is l rounded to six dps? 0.000009 Let o = -1.6759 - 1020.4241. Let s = -1081 - o. Round s to the nearest ten. -60 Suppose 501 = 4*j - a + 132, -4*a + 198 = 2*j. Let t = j + 13. Round t to the nearest ten. 110 Let y = -3577 - -3577.02583. What is y rounded to 3 decimal places? 0.026 Let n(w) = 3*w - 21. Let u be n(4). Let y = 13 + u. Suppose y*q + 2725 = -1155. What is q rounded to the nearest 100? -1000 Let v = -1624.398 - -1777.3946. Let c = v + -153. Round c to three dps. -0.003 Let y = 4671.999999432 - 4672. What is y rounded to 7 dps? -0.0000006 Let i = 16.08 - 3.6. Let j = 18 - i. Round j to 1 dp. 5.5 Let t = -0.027924 + 0.16085. What is t rounded to three decimal places? 0.133 Let z = 9076 - 9075.647. Round z to two dps. 0.35 Let u = 122.2 - 76. Let f = -63.9 + -0.1. Let c = u + f. Round c to zero decimal places. -18 Let j = 16.41948 - -11.8858. Let x = j - 28.3. What is x rounded to three decimal places? 0.005 Suppose 3*f - 57 = -4*l + 10, 60 = 3*f - 3*l. Suppose f*i = -1833 + 12333. What is i rounded to the nearest ten thousand? 0 Let a = -137097 + 137096.939909. Let y = -1.94 - -2. Let v = a + y. Round v to five dps. -0.00009 Let q = 9332.99112 - 9333. Round q to two decimal places. -0.01 Let k = -28185.03 - -28184. Let g = 0.122 + -1.052. Let y = k - g. Round y to the nearest 10. 0 Let n = -157464 - -415412. Suppose 5*x = -x + 462312. Let l = n + x. What is l rounded to the nearest ten thousand? 340000 Let n be -2164137 + (12/2)/(-2). Suppose -3*f - 23471711 = -2*h, -5*f - 24023932 = -4*h + 22919493. Let o = n - h. Round o to the nearest one million. -14000000 Let s = -0.05 - 3.7. Let z = s - -7.671. Let c = z + -4. What is c rounded to 2 decimal places? -0.08 Let s = 857763 - 471238. Suppose -27*q = -s - 431575. Round q to the nearest one thousand. 30000 Let f(x) = x**3 + 10*x**2 + 8*x - 7. Let c be f(-9). Let n be (-21)/147 - (121458/(-7) - c). Let u = -1347 - n. What is u rounded to the nearest one thousand? -19000 Let s(k) = -1353556*k + 136. Let b be s(56). What is b rounded to the nearest one million? -76000000 Let o = 0.2272 - 0.147. Let v = o + -0.079651. What is v rounded to 5 decimal places? 0.00055 Let i = 120.947 + -121. Let n = i + 0.09. Let t = n + -0.03700073. Round t to seven dps. -0.0000007 Let c = -274 + 271.146. What is c rounded to the nearest integer? -3 Let a = 20.2 - -0.5. Let t = 108.3 + a. Let j = t + -129.000114. What is j rounded to five decimal places? -0.00011 Let b = -203588.71211 + 203587. Round b to 2 decimal places. -1.71 Suppose -21*v - 72 = -39*v. Suppose -5*w = 3*c + 913015, 4*c + 182620 = v*w - 5*w. Round w to the nearest 100000. -200000 Suppose 0 = 5*h - 4*k + 14746859, 0*h + 3*k - 8848116 = 3*h. Let m = h - -4979371. Round m to the nearest 100000. 2000000 Let k = 747 - 309. Let s = -438.74 + k. What is s rounded to one dp? -0.7 Let m = -222.54 + 222.540
{ "pile_set_name": "DM Mathematics" }
that v(g) = 0. -196, 0, 2 Let s(d) be the third derivative of d**6/36 + 5*d**5/8 - 5*d**4/3 - 37*d**3/2 - 36*d**2 + 4. Let n(u) be the first derivative of s(u). Factor n(t). 5*(t + 8)*(2*t - 1) Let c = 371583 + -1857813/5. Find b, given that 9*b**4 + 24/5*b + c*b**3 + 7/5*b**5 + 0 + 92/5*b**2 = 0. -2, -3/7, 0 Let f = -55572 - -722438/13. Let -4/13*t - f - 2/13*t**2 = 0. What is t? -1 Let a = 198 - 60. Factor 142*d**5 + 12*d**2 - 10*d**2 - 26*d**2 - a*d**5 - 28*d**3. 4*d**2*(d - 3)*(d + 1)*(d + 2) Let z(q) be the third derivative of q**6/195 - 11*q**5/130 + 14*q**4/39 - 4*q**3/13 - 1788*q**2. Find s, given that z(s) = 0. 1/4, 2, 6 Let m(k) be the second derivative of -k**4/18 - 38*k**3/3 + 117*k**2 + 3036*k - 2. Factor m(s). -2*(s - 3)*(s + 117)/3 Let g = 705/3322 - -16/151. Let i = g - -5/22. Factor 4/11*v + 2/11*v**3 - i*v**2 + 0. 2*v*(v - 2)*(v - 1)/11 Determine k, given that -2*k**3 - 4*k**2 + 61*k**2 - 3*k**2 - 792*k + 1171 + 58*k**2 - 19 = 0. 2, 6, 48 Let p(k) be the second derivative of k**5/70 - 97*k**4/21 - 1600*k**3/21 - 3232*k**2/7 + 4*k - 102. Suppose p(s) = 0. What is s? -4, 202 Let z(q) = 11*q - 484. Suppose 6*k - 10*k + 152 = 3*c, 3*c + k - 137 = 0. Let a be z(c). Factor a*j**2 + 0 + 8/9*j - 2/9*j**3. -2*j*(j - 2)*(j + 2)/9 Let s(u) = -63*u - 5. Let m be s(1). Let i = 69 + m. Find k, given that -4 + i + k**2 + 2 = 0. -1, 1 Let r(q) be the third derivative of -q**7/140 + 17*q**6/360 + 11*q**5/90 - 17*q**4/18 - 8*q**3/9 + 2018*q**2. Find d, given that r(d) = 0. -2, -2/9, 2, 4 Determine n, given that 27/4*n**2 - 3/4*n**4 - 1/4*n**5 + 0*n + 9/4*n**3 + 0 = 0. -3, 0, 3 Let k = 23 + -19. Suppose 15 = 9*t - k*t. Factor 3*x - 13*x**2 + 3*x**3 + 0*x**t + 7*x**2. 3*x*(x - 1)**2 Suppose 265 = 2*i + 255. Let s(r) be the second derivative of -33*r + 0 + 0*r**3 + 1/30*r**i + 0*r**2 + 2/9*r**4. Factor s(v). 2*v**2*(v + 4)/3 Let m(n) = -7*n + 150. Let r be m(15). Suppose -240 = -51*x + r*x. Suppose 60*z**2 - x*z**3 - 40*z + 25/2*z**4 + 8 - 3/2*z**5 = 0. Calculate z. 1/3, 2 Let u(a) be the first derivative of a**6/24 + 19*a**5/20 + 103*a**4/16 + 121*a**3/12 - 13*a**2 - 35*a - 13621. Suppose u(m) = 0. What is m? -10, -7, -2, -1, 1 Let u be (-6)/(-14) - 106*5/(-70). Suppose 8 = 10*c - u*c. Factor 210*n**3 - 83*n**3 + 4*n**5 + 16*n**c - 103*n**3 + 16*n**2 + 4*n. 4*n*(n + 1)**4 Let x(h) be the second derivative of h**5/6 + 713*h**4/18 - 286*h**3/9 + 2*h + 5392. Determine j so that x(j) = 0. -143, 0, 2/5 Let r(h) = 4*h**3 + 40*h**2 + 30*h. Let c(w) = -w. Let s = -359 + 360. Let t(n) = s*r(n) - 6*c(n). Factor t(p). 4*p*(p + 1)*(p + 9) Let -4/5*d**2 + 3908/5 + 3904/5*d = 0. Calculate d. -1, 977 Let x = -51/29 - -3701/2088. Let h(v) be the second derivative of -18*v + 0 + x*v**4 + 3*v**2 - 1/3*v**3. Let h(t) = 0. What is t? 6 Let b(w) be the third derivative of -1/35*w**7 - 1/4*w**4 + 2*w**2 + 0*w - 1/84*w**8 + 3/20*w**6 - 8 + 0*w**3 - 1/30*w**5. Solve b(u) = 0. -3, -1/2, 0, 1 Suppose 3*w + 10788 = 32*w. Let c = -369 + w. Factor 3/7*g**c + 27/7 + 3*g**2 + 45/7*g. 3*(g + 1)*(g + 3)**2/7 Factor 7562500/7 + 11000/7*v + 4/7*v**2. 4*(v + 1375)**2/7 Let n(q) be the third derivative of -1/15*q**5 + 0 + 10*q**3 + 0*q + 1/3*q**4 - 174*q**2. Suppose n(d) = 0. What is d? -3, 5 Suppose 4*v - 12*v = -32. Suppose 4 = -m, 3*t - 2*m - 3*m - 35 = 0. Factor 5*a**5 + a**v - a**t - 13*a**5 + 8*a**5. -a**4*(a - 1) Let f = 704 + -702. Let h be (-14)/f + (10 - 3). Factor 4/11*m**2 - 2/11*m**5 + 0*m + 0 + h*m**4 + 6/11*m**3. -2*m**2*(m - 2)*(m + 1)**2/11 Let y(n) = 23*n + 5. Let v be ((-48)/(-4))/3 + -3. Let u be y(v). What is z in -u*z**5 - 244*z**4 - 201*z - 348*z**3 + 820*z**2 + 75*z - 74*z = 0? -5, 0, 2/7, 1 Let v(w) be the first derivative of -3*w**5/20 - 39*w**4/4 - 507*w**3/2 - 6591*w**2/2 - 54*w + 1. Let r(f) be the first derivative of v(f). Factor r(d). -3*(d + 13)**3 Let i(o) = 4*o**2 + 512*o - 1876. Let w(l) = -l**2 - 103*l + 375. Let y(k) = 3*i(k) + 16*w(k). Factor y(z). -4*(z - 3)*(z + 31) Let l(v) = -41*v**2 - 11657*v - 1976548. Let w(s) = -13*s**2 - 3866*s - 658849. Let t(j) = 4*l(j) - 13*w(j). Solve t(d) = 0. -363 Let t(v) be the second derivative of v**6/540 + 13*v**5/90 + 4*v**4/3 - 47*v**3 - 233*v. Let j(d) be the second derivative of t(d). What is a in j(a) = 0? -24, -2 Let z be 22*5/(-4)*171/(-57). Suppose -90 + z*r + 5/2*r**3 - 25*r**2 = 0. What is r? 3, 4 Let c(u) = -7*u**5 + 5*u**4 - 8*u**3 + 20*u**2 - 8*u. Let g(p) = -8*p**5 + 6*p**4 - 7*p**3 + 24*p**2 - 9*p. Let d(x) = -9*c(x) + 8*g(x). Factor d(y). -y**2*(y - 6)*(y + 1)*(y + 2) Let k(v) be the second derivative of v**4/114 + 184*v**3/19 + 76176*v**2/19 + 154*v + 1. Determine z so that k(z) = 0. -276 Let w(b) = -b**2 + 4*b. Suppose o = 4*o - 4*o. Suppose 11*v + 10 + 45 = o. Let u(c) = c**2 - 5*c + 1. Let l(x) = v*w(x) - 4*u(x). Factor l(s). (s - 2)*(s + 2) Let x(i) be the first derivative of 3*i**5/5 + 15*i**4/2 - 61*i**3 - 105*i**2 + 2106. Find b such that x(b) = 0. -14, -1, 0, 5 Solve 37/5*p**3 + 9/5*p + 2/5*p**5 + 33/5*p**2 + 3*p**4 + 0 = 0. -3, -1, -1/2, 0 Let b(f) = f**2 + 5*f - 4. Let o be b(-6). Let k(g) = g**3 + 19*g**2 + 74*g - 51. Let s be k(-13). Find d, given that s - 8*d - 11 + 0*d**2 + 2*d**o = 0. -1, 5 Let k(n) be the second derivative of -n**7/189 + n**6/5 - 971*n + 1. Solve k(w) = 0. 0, 27 Let f(r) be the second derivative of 18*r - 1/42*r**4 + 10/7*r**3 + 0 - 225/7*r**2. Solve f(i) = 0 for i. 15 Let r be 23/69*(-594)/(-1). Let m = 399/2 - r. Find w such that -3/2*w**4 + m*w**3 + 3 + 9/2*w**2 - 15/2*w = 0. -2, 1 Let t(c) be the first derivative of 9*c**5/5 - 119*c**4/4 + 26*c**3/3 + 10872. Factor t(u). u**2*(u - 13)*(9*u - 2) Let y(v) be the third derivative of v**5/15 + 161*v**4/3 + 2*v**2 - 194*v. Let y(s) = 0. What is s? -322, 0 Let y = -31682 - -31687. Let a(t) be the third derivative of -7/2*t**3 + 0 - 9/20*t**y - 1/40*t**6 - 12*t**2 - 15/8*t**4 + 0*t. Factor a(o). -3*(o + 1)**2*(o + 7) Let h(y) be the third derivative of -y**5/20 - 11*y**4 + 89*y**3/2 - 6799*y**2. Factor h(a). -3*(a - 1)*(a + 89) Let c = 1061067/5 - 211983. Solve -2/5*x**4 - c + 88/5*x**2 - 8/5*x**3 + 192/5*x = 0. -6, 4 Let k(z) be the third derivative of -z**9/756 - z**8/140 - z**7/70 - z**6/90 - z**3/3 - 3*z**2 + 5. Let q(j) be the first derivative of k(j). Factor q(l). -4*l**2*(l + 1)**3 Let n = -99551/94 + -115/47. Let x = n - -1064. Determine w, given that x*w + 5/2*w**3 - 5*w**2 + 0 = 0. 0, 1 Let h(i) be the first derivative of -1/35*i**5 + 2*i + 0*i**2 + 0*i**3 + 1/42*i**4 - 1/35*i**6 + 1. Let d(t) be the first derivative of h(t). Factor d(l). -2*l**2*(l + 1)*(3*l - 1)/7 Let o(v) be the second derivative of 5/12*v**4 + 36*v + 1/12*v**5 + 0*v**3 + 12*v**2 - 1/24*v**6 + 0. Let f(n) be the first derivative of o(n). Factor f(d). -5*d*(d - 2)*(d + 1) Let u = 233 + -228. Let h(r) = -8*r**4 - 24*r**3 - 16*r**2 - 5*r. Let d(v) = -12*v**4 - 36*v**3 - 24*v**2 - 8*v. Let o(q) = u*d(q) - 8*h(q). Factor o(z). 4*z**2*(z + 1)*(z + 2) Let w(b) be the third derivative of 5/24*b**6 + 0*b - 14*b**2 + 153/8*b**4 - 289/6*b**3 - 13/4*b**5 + 0. Find a, given that w(a) = 0. 1, 17/5 Find u such that 43/3*u - 8*u**2 + 2/3 + 22/3*u**4 - 43/3*u**3 = 0. -1, -1/22, 1, 2 Suppose -2*b + b - 2*a = -8, 5*b = 4*a + 12. Let i = b + 19. Factor i*s**2 + 8*s**4 - 6*s - 13*s**3 - s**2 - 13*s**3 + 2*s. 2*s*(s - 2)*(s - 1)*(4*s - 1) Let b(c) = c**2 + 12*c + 6. Let q be b(-5). Let s = 45 + q. Factor -s - 29*d + 4*d**3 + 10*d - 8*d**2 - 9*d. 4*(d - 4)*(d + 1)**2 Suppose -170*f - 229*f + 1596 = 0. Let m(b) be the second derivative of 1/5*b**3 + 0*b**2 - 14*b + 0 + 1/50*b**5 + 2/15*b**f. Factor m(c). 2*c*(c + 1)*(c + 3)/5 Let h(s) = -81*s + 129. Let l be h(-11). What is u in 15*u**3 + l*u**4 - 510*u**4 - 505*u**4 = 0? -3, 0 Let n(d) be the first derivative of d**5/270 + d**4/108 - 2*d**3/27 - 9*d**2/2 - 2*d + 44. Let u(s) be the second derivative of n(s). Factor u(m). 2*(m - 1)*(m + 2)/9 Let k(u) = 6*u**2 - 6*u. Let x(d) = 12 - 46 + 15 + d**2 + 6 + 12. Let q = 6 - 3. Let j(g) = q*x(g) - k(g). Solve j(l) = 0. 1 What is o in 9*o**4 - 118*o + o - 75*o - 106*o**3 + 8*o**4 + 64 - 2*o**5 + 212*o**2 + 7*o**4 = 0? 1, 2, 4 Let p(v) = 21*v + 37. Let o(j) = -50*j - 92. Let x(i) = -5*o(i) - 12*p(i). Let d be x(8). Factor 1/2*k**2 - 1/2*k**4 + 1/4*k**5 - 1/4*k
{ "pile_set_name": "DM Mathematics" }
-2 + (1 + -1 - 4). Let g be f*(-4)/((-12)/(-9)). Suppose 0 = -3*k - g + 3. Sort -1/2, k, 4. k, -1/2, 4 Let x(z) = 5*z - 3*z - z. Let h be 3/(-6)*2/(-1). Let f be x(h). Put 0, -2, f in decreasing order. f, 0, -2 Let y = -2 + 2.02. Let w = 1.02 - y. Sort -3/7, -2/3, w. -2/3, -3/7, w Let b be -6*(-1 + ((-126)/16)/(-9)). Put 0.2, -3/2, b, -5/4 in descending order. b, 0.2, -5/4, -3/2 Suppose -27*i = -33*i. Put 3/5, -2, i, 1/4 in increasing order. -2, i, 1/4, 3/5 Let j be 1/(2/8*2). Suppose -j*h + 4*q + 6 = 0, 1 = 2*h + 3*q + 2. Sort 3, -2, h in decreasing order. 3, h, -2 Let w = 45 + -44.1. Sort 2, w, -4, -0.2 in decreasing order. 2, w, -0.2, -4 Let x(c) = -c**2 - 4*c + 9. Let m be x(-6). Sort 5, m, 4, -4 in decreasing order. 5, 4, m, -4 Let f be ((2/(-3))/(-2))/((-6)/(-90)). Put 1, 20, -1, f in decreasing order. 20, f, 1, -1 Let y = -0.06 + 0.06. Let c = -0.1 - -0.2. Put y, c, -0.2 in increasing order. -0.2, y, c Let s = 2.9 - 0.2. Let d = -0.3 - s. Let y = -130 + 126. Put y, d, 1 in descending order. 1, d, y Let j = 3 + -26. Sort 5, -0.5, j. j, -0.5, 5 Let y = 15 - 17. Let x(b) = -b + 6. Let r be x(0). Let z be (-5)/(-3) + r/(-9). Sort z, y, -1 in increasing order. y, -1, z Let i(f) = -f - 3. Let k be i(-7). Put -3, k, 2 in increasing order. -3, 2, k Let c = 6.4 + -3.4. Sort 0.4, c, -2/11, 1 in descending order. c, 1, 0.4, -2/11 Suppose 4*i - 8*i = 0. Sort -5, i, -2 in decreasing order. i, -2, -5 Let l = 2 - -4. Let d(f) = -f**2 + 6*f - 3. Let z be d(l). Sort 4, 5, z in descending order. 5, 4, z Let h = -0.9 + -3.1. Put 0.4, 4, h in decreasing order. 4, 0.4, h Let b = -10.7 - -7.7. Let f = 2.9 + -3. Put 1, b, f in descending order. 1, f, b Let f(o) = -2*o + 17. Let p be f(10). Sort 5, 6, p in descending order. 6, 5, p Let k(u) = -3*u - 12. Suppose p + 5 = -3. Let t be k(p). Suppose 0 = 2*c - 4*c + t. Put 5, -3, c in descending order. c, 5, -3 Let j = -4.1 - -0.7. Let p = j + 1.4. Put -0.1, p, -1 in decreasing order. -0.1, -1, p Let d = 1.6 + -1.1. Sort d, 2, 6/13. 6/13, d, 2 Let p = 0.19 + 3.81. Sort 0, p, 0.4 in decreasing order. p, 0.4, 0 Let k = -9.117 - -0.117. Sort -4, 0, -2/3, k in decreasing order. 0, -2/3, -4, k Let s = -25 - -24.5. Let p = 0.3 - 0.1. Let d = p - 0.6. Sort s, d, 0.1. s, d, 0.1 Let h = 10 + -6. Let a = -757 - -756. Let v be (0 + 0)/((-3)/(-3)). Sort a, h, v in descending order. h, v, a Let u be (-3)/(-6*2/(-16)). Let h = 7 + u. Sort -3, h, -5 in decreasing order. h, -3, -5 Suppose 24 = 5*p - 4*l, 0 = -p - 3*l - l. Let s = -7 - -5. Put -3, s, p in ascending order. -3, s, p Let s = -15.1 - -15.2. Put s, -0.2, -2/9, 3/7 in decreasing order. 3/7, s, -0.2, -2/9 Let c = 6 - 13. Suppose -i + 0*i = -6. Let w = c + i. Sort 0, w, 4. w, 0, 4 Let p = -0.5 - -0.5. Let q = -0.06 + -7.94. Let r = 3 + q. Put p, 0.1, r in ascending order. r, p, 0.1 Suppose 2*z - 34 = -0*z. Suppose -z = 3*l + 25. Let r be l/(-36) + (-6)/27. Sort 5, -2/11, r. -2/11, r, 5 Let z = -0.04 - -0.02. Suppose 2*q - 6 + 0 = 0. Put 0, q, z in ascending order. z, 0, q Let n = -17 + 20. Sort 4, n, 0 in decreasing order. 4, n, 0 Let k = -2.95 + 3. Let v = k - 5.85. Let y = 6 + v. Put y, -4/7, -0.5 in ascending order. -4/7, -0.5, y Suppose -5*o + h = 8, 3*o = o - 4*h - 12. Let r = 4 + o. Let b = -1 - -6. Put b, r, -5 in descending order. b, r, -5 Suppose 0 = 3*k + 3*m, -5*m - 2 = 4*k - 0*m. Suppose -4*w = -4*a - 8, -k*a + 7*a - w = -14. Suppose 4*t = -0*t. Sort t, 3, a in descending order. 3, t, a Let y = 0.3 - 0.8. Let u = 0 + 0.5. Sort y, -2, u in increasing order. -2, y, u Let l = 3 - -5. Let j = -3 + l. Let i be 5/10 - (-33)/(-42). Sort i, -1, j in increasing order. -1, i, j Let f(n) = -n**2 - 9*n - 5. Suppose -5*q + 4 = -2*p - 2*q, -24 = 2*p + 2*q. Let d be f(p). Let g be 0/(1/d*3). Put -1, g, -5 in increasing order. -5, -1, g Let p(n) = -n**2 + 5*n + 5. Let h be p(5). Suppose 5*u = -3*l + 2*l - 16, -h*u = -5*l + 40. Put u, 0.3, -1 in descending order. 0.3, -1, u Suppose 5*m - 15 = 0, -j - 2*m + 3 - 1 = 0. Let c be 46/14 - j/(-14). Suppose -4*n = -9*n + 25. Put c, n, 2 in decreasing order. n, c, 2 Suppose 3*f + 3 = -12. Put 2, f, 4 in increasing order. f, 2, 4 Let g = 6 + -5.98. Let q = g - 0.12. Let b = -3 + 7. Sort q, 1/8, b in decreasing order. b, 1/8, q Let g = -23.7 + 25. Let b = g + -0.3. Suppose 0*f = -f. Sort 5, f, b in descending order. 5, b, f Let u = 5.6 + -6. Let a = -14 - -13.65. Let d = 0.05 - a. Sort -0.1, d, u in descending order. d, -0.1, u Suppose -3*j + j = 0. Suppose h - 3*t - 14 = j, -4*h - 2*t = 2*t + 8. Put 3, h, 0.2 in increasing order. 0.2, h, 3 Let z(t) = -4*t**2. Let b be z(1). Let u(v) = -v**2 - 6*v - 3. Let a be u(-4). Suppose -3*i + 2 = -4*i. Sort a, b, i in decreasing order. a, i, b Let z = -6.2 - -0.2. Let t = 16 + -6. Let s = z + t. Put s, 3/2, -3 in decreasing order. s, 3/2, -3 Suppose -3*u - 6 = 6. Let y be u/(-7) - (-160)/(-35). Let a = -3 + 1. Put 1, a, y in descending order. 1, a, y Let w = -0.9 - -0.5. Let r = -0.2 + 0. Let o(j) = j + 2. Let z be o(-3). Sort w, r, z in ascending order. z, w, r Let f = -0.8 + 1. Let d = f - -0.8. Let u = 2/443 - -868/3987. Put u, 2, d in increasing order. u, d, 2 Let r(s) = 5*s**2 - 5*s + 2. Let c be r(1). Put 5, -28, c in descending order. 5, c, -28 Let d be 6/21 + (-132)/21. Let l = -1 - d. Sort -3, l, -5 in descending order. l, -3, -5 Let g(i) = i**3 + 6*i**2 + 6*i + 6. Let h be g(-5). Let k be 1/(-2)*2/h. Let y be (2/18)/(k/(-4)). Put -0.4, y, -1 in descending order. y, -0.4, -1 Let a = 0 - 4. Let q(f) = 15*f - 43. Let d be q(3). Put a, 1, d in increasing order. a, 1, d Let c be 6/30 + 2/(-10). Sort c, -0.1, 2/5 in decreasing order. 2/5, c, -0.1 Let f = -1.1 - -1. Let a = -3.1 - -4. Let q = 2.1 + a. Put f, 4, q in decreasing order. 4, q, f Let a = -76 + 75.57. Let c = -0.03 - a. Let r = 0.7 - -0.3. Put c, -5, r in decreasing order. r, c, -5 Let v = 44/63 + -2/63. Put v, 0.4, 0.5, 2 in decreasing order. 2, v, 0.5, 0.4 Let t = -12 - -10. Sort -5, t, -3. -5, -3, t Suppose -42 = 10*k + 28. Sort k, 3, -5 in decreasing order. 3, -5, k Let c(y) = -y**3 + 26*y**2 + 24*y + 64. Let l be c(27). Sort 2, 1, l, 5 in descending order. 5, 2, 1, l Let w = -91/4 + 23. Let s = 1 - 1. Let p = s + 0. Sort 2, p, w in descending order. 2, w, p Let m be (0/(-3) + 4)/(-1). Let f = m + 1. Sort -5, 0, f in ascending order. -5, f, 0 Suppose 5*v - 16 = 3*x, -4*x = -0*v + 4*v - 32. Put x, -2, 5 in decreasing order. 5, x, -2 Suppose -j = -m, -4*m - 4*j = j - 18. Suppose -n = 4 - m. Let o(y) = -y**3 + 9*y**2 - 9*y + 7. Let l be o(8). Sort l, n, -4. -4, n, l Let f be (1/4)/(4/(-8)). Put 4, 0.2, f, -1/4 in decreasing order. 4, 0.2, -1/4, f Suppose 0 = -2*q - 6*q - 16. Sort 31, 3, q in descending order. 31, 3, q Let r = 1964/9 + -218. Sort 1/3, 0.3, 5, r in decreasing order. 5, 1/3, 0.3, r Let k be ((-4)/(-6))/(12/(-54)). Let m be k + 288/(-2) + -2. Let r = -742/5 - m. Sort r, 4/3, -1 in descending order. 4/3, r, -1 Let p be 3 + 1 + 0/4. Let n = -0.3 + -0.2. Sort p, 2, n in decreasing order. p, 2, n Let h = 7 + -5. Suppose h*p = 10, -n + 2 = 4*p - 21. Suppose -n*q = -2*q. Sort -4, q, 3 in ascending order. -4, q, 3 Let w be (2 - 3)/((-2)/(-4)). Suppose -3*j = 2*i - 14, -i + 17 = 3*j + j. Put -5, w, j in decreasing order. j, w, -5 Let o = -5 + 0. Sort -2, 3, o. o, -2, 3 Suppose -3*h + 4 = 19. Let w(u) = u**2 + 4*u - 7. Let k be w(h). Put 0, k, -4 in ascending order. -4, k, 0 Let m = 387/308 - 1/154. Let t = -27 + 14. Let q = -18 - t. Sort q, m, 0 in increasing order. q, 0, m Let g = -0.92 + -0.08. Let p = -1.1 - g. Put p, 0, 5/6 in increasing order. p, 0, 5/6 Let s = 77 - 72. Sort 0, -0.2, -1, s in decreasing order. s, 0, -0.2, -1 Suppose 8*t - 3*t = 40. Suppose 3 = -3*k - 5*m, -k + m - 1 + t = 0. Let h = 0.2 - 0. Sort k, -2/3, h in decreasing order. k, h, -2/3 Let w = -0.12 - -0.52. Sort 2/3, w, -1/11 in decreasing order. 2/3, w, -1/11 Let q = -8.5 + 9. Put q, -0.2, -11 in descending order. q, -0.2, -11 Let i be (-1)/5 - (-84)/20. Suppose 4*u - 37 = -5. Suppose -5*r + 16 = -4*b + u*b, b - 11 = -3*r. Sort b, -3, i in increasing order. -3, b, i Let d = -2 - 1. Let w(v) = v - 10. Let k be w(5). Sort -1, k, d. k, d, -1 Let d = -13 + 13. Suppose -3*w + 5 = 2*w. Put -4, d, w in decreasing order. w, d, -4 Let o be (-20)/5*(-5)/(-
{ "pile_set_name": "DM Mathematics" }
t o(m) = 5226*m - 67936. Calculate the smallest common multiple of o(13) and (42/(-5))/(z/10). 42 Calculate the common denominator of -155/528 and (-2)/20 - (5/(-3600))/((-396)/(-24792)). 4752 Let s be ((-9)/6)/(-3)*2222. Suppose 0 = 2*t + 3841 - s. What is the common denominator of (2/18)/(-1)*t/10 and 46/11? 66 What is the least common multiple of 1*(14 - (-6 + -300)) and 80? 320 Let v(s) be the third derivative of -s**6/120 + 7*s**5/60 - s**3/6 - 4*s**2. Let j be v(7). Find the common denominator of -7/29 and 598/(-39)*(j + (-10)/8). 58 Let p = -2904 - -749273/258. Calculate the common denominator of 16/817 and p. 4902 Suppose -3*t = d - 19, -t = 4*t - d - 29. What is the smallest common multiple of 4/(4 - 3) + 14 and t? 18 What is the common denominator of -53/572 and (-103)/(-412) + 420/(-1144)? 572 Let n(q) = 2*q**2 - 39*q + 10. Let p be (4 - 23)/(2 - 3). Let b be n(p). What is the least common multiple of 7 and (b/(-15) + 4/(-15))*3? 7 Let p = 1/243 - -1357/4860. What is the common denominator of p and -27/340? 1020 Let w be (2 + (-68)/(-6))*3. Let q = w + -37. Suppose -q*u = 4*f - 103, -3*u = -f - 3 + 10. What is the lowest common multiple of f and 10? 110 Let k = -16763 + 670447/40. Let z = 57020 - 1254455/22. Find the common denominator of z and k. 440 Let x be 4*((-15)/(-25) + 8/20). Let s(v) = -5*v + 7. Let l = 31 - -12. What is the common denominator of l and s(x)? 1 Let v = 9/175832 + 7113519/149984696. Calculate the common denominator of -133/18 and v. 15354 Let d = 951/2 + -503. What is the common denominator of (-72)/(-15) + -4 + 51009/(-40180) and d? 164 Let y(a) = 72*a - 366. What is the lowest common multiple of 649 and y(10)? 3894 Let k = -307 + 1219/4. Let g = 107/12 - k. Calculate the common denominator of g and -86/75. 150 Suppose -196*z - 96*z = -263 - 1781. Calculate the smallest common multiple of 22 and z. 154 Let h be (6/8)/(9/12). Find the common denominator of -17/4 and -2 + h/((-42)/47). 84 Suppose 5*g + 354 = -3*j + 471, 5*g - 121 = -4*j. Calculate the lowest common multiple of g and 3528. 3528 Let b = 229 + -228. What is the lowest common multiple of b/(-3)*-20 + 2/(-3) and 50? 150 Let j(w) = 4*w**2 - 55*w - 1. Suppose -2*m + 22 = 2*s, 3*s + 23 = -3*m + 4*m. Calculate the lowest common multiple of 49 and j(m). 637 Suppose -3*r + 2*g = -28, -3*r - 2*r = 3*g - 15. Let m = r + -13. Find the common denominator of 44/3 and (1 - 101/96)*m*4. 24 Calculate the smallest common multiple of ((-4)/1)/((-50)/9450) and 39. 9828 Let k = 2057 + -2019. Calculate the smallest common multiple of 464 and k. 8816 Let j(i) = -i + 1. Let y be j(-4). Suppose 15 = -y*l + 90. What is the smallest common multiple of 4 and -20*(-3 - l/(-6))? 20 Let l(v) = v**3 + 10*v**2 + 5*v - 17. Let j be l(-7). Let w = j - 82. Calculate the smallest common multiple of w and 7. 91 Let i = -457127/252 + 12676/7. Let u = -10/8469 + 29825/22584. Calculate the common denominator of i and u. 72 Suppose 3*p = g + 37, -27 = -4*p - 4*g + 49. Suppose 208*o - 384 = 103*o + 89*o. What is the smallest common multiple of p and o? 168 Let i(u) = 9 - 11*u - 4*u**2 + 7*u**2 - u**2. Let t be i(5). Calculate the smallest common multiple of 18 and 1 + (-4)/t - -15. 90 Suppose 0 = -3*l - 5*r + 4, -4*l - 2 = -0*r + 3*r. What is the common denominator of 4 + (-244)/32 + l/(-6) and (-4)/22 - 2415/(-1848)? 24 Calculate the common denominator of (8 - -19)/(-9) + 3903/1440 and -39/320. 960 Suppose 19*a + 1637 - 5202 = 3104. Calculate the least common multiple of a and 21. 2457 Suppose -4*f - 5*p = -2646, p - 589 = -583. Calculate the least common multiple of f and 22. 7194 Let b = 135 - 65. Calculate the least common multiple of b and (-2300)/(-20) + ((-100)/(-10) - -1). 630 Let r = -3701/6930 + 13/90. What is the common denominator of -12/1771 and r? 1771 Let w(t) = -2*t**3 - 12*t**2 - 29*t - 134. Calculate the smallest common multiple of 510 and w(-6). 2040 Suppose 3*y + 260 = 8*y. Let a be ((-5)/(-4))/(((-1025)/60)/(-41)). Suppose a*x = 38 + y. What is the lowest common multiple of x and 16? 240 Let p = 14910 + -14804. Calculate the least common multiple of 1060 and p. 1060 What is the common denominator of ((-98)/(-60))/((-3042)/468) and 179/546? 2730 What is the common denominator of (-146225)/(-5700) - (-125)/(-5) and 139/12? 228 Let h = 358793/63 + -5696. Find the common denominator of -5/234 and h. 1638 Let y = 3239 - 11726. Let h = -152701/18 - y. Calculate the common denominator of h and (3 - (-635)/(-135))/(-18 + 20). 54 Suppose -4*n - 4202 = -14*n + 1678. What is the lowest common multiple of n and 20? 2940 Let x = -9 - -33. Calculate the smallest common multiple of x and ((0 - -85) + (-1 - -4))*73/146. 264 Calculate the common denominator of (-5)/20*462*3/(-18) and 107/516. 516 Suppose 24*v - 25*v - 3 = 0. Let t(k) = 6*k + 2. What is the smallest common multiple of (8/18*3)/((-1)/v) and t(3)? 20 Let v = -243968218766/129 - -1891216945. Let y = 9557 + v. What is the common denominator of y and -65/3? 129 Suppose -4*a - 506 - 286 = 0. Let g = -34795/12 + 2902. What is the common denominator of 1/3 - (-5)/a*87 and g? 132 Suppose 2*j - 3 = 5. Let s be ((-3)/2)/((-1)/(184/j)). Let t = 75 - s. What is the lowest common multiple of 14 and t? 42 Let o = 4 + 68. What is the common denominator of 1718/o - (-9)/(-81) and ((-318)/12)/((-35)/(-10))? 28 Suppose 723*s + 3*w + 51 = 728*s, -2*w = s - 5. Calculate the least common multiple of s and 724. 6516 Let g(v) = 16*v - 82. Let n be g(4). Calculate the common denominator of -97/20 and (-27)/n + (-294)/220 + -1. 220 Let r = 62443 + -14986381/240. What is the common denominator of r and 131/260? 3120 Let h = -6094 - -414381/68. What is the common denominator of -17/82 and h? 2788 Let q = -1325/498 - 1/166. Let u = 1322004/11 - 1463451586/12177. Let l = u - 20/41. What is the common denominator of q and l? 27 Let l = 0 - -15. Let h = -50 + -12. Let z = 89 + h. Calculate the smallest common multiple of l and z. 135 Let k = 161/15866659 + 589983397997/241474683321. Let f = -2/1691 - k. Let n = 37273/6 + -6228. What is the common denominator of f and n? 18 Let c = 3992 + -3872. Calculate the least common multiple of c and 420. 840 What is the common denominator of 1/3 - (-43)/3 and ((-16)/(-56))/((-24)/(-518))? 6 Let z = 15201 - 15076. What is the lowest common multiple of z and 375? 375 Let n = -86 + 92. What is the lowest common multiple of 2 and (-1 + n/9)/(6/(-684))? 38 Let q(k) = -246*k - 5557. What is the least common multiple of 6 and q(-24)? 2082 Let s(o) = -o + 16. Suppose 147 + 344 = a - 4*t, 0 = -3*a + 2*t + 1493. Let v = a + -495. What is the lowest common multiple of v and s(0)? 16 Suppose 29*d + 479 = -449. Calculate the smallest common multiple of d/(-2) - (7 + 0) and 51. 153 Suppose -55 = -n - 10*n. Suppose -3*a = 4*b + 10 - 50, -n*a = 3*b - 19. Calculate the smallest common multiple of 9 and b. 117 Let g = -2274 - -2251. Find the common denominator of 53/330 and g. 330 Let s = 51599/35 + -1473. Find the common denominator of s and -70/69. 2415 Let h be (((-36)/8)/(-3))/((-2)/(-44)). Let u be (-2 + h/9)*-18. Let z = u - -33. What is the smallest common multiple of 5 and z? 15 Let b = -5043684 - -50365299/10. Let h = b - -7146. Find the common denominator of -17/62 and h. 310 Let l = 454389/16 + -28403. Let j = -1525579/48 + 31785. Find the common denominator of j and l. 48 Find the common denominator of 62/315 and ((-4)/(-14))/(13*(-20)/520). 315 Let k = -2007751/532 + 15097/4. What is the common denominator of k and 43/190? 1330 Let w = 893506 - 402077533/450. Calculate the common denominator of w and -187/120. 1800 Find the common denominator of ((-1778)/(-399))/((-800)/(-24)) and -41/8. 3800 Let a = 7 - 4. Let s(i) = -3*i + 1 - a + i. Calculate the least common multiple of s(-4) and 6. 6 Let c be (-4 + 10 - 1) + -1. Suppose 2*k + c = 0, -3*o - 16 = -3*k + 11. Let a = -5 - o. Calculate the least common multiple of a and 14. 42 Let o = 5/158 - -187/1580. Let r be -2*(-4)/((-24)/(-9)). Calculate the common denominator of (14/18)/((-2)/29) + r and o. 180 Suppose 0 = -10*j + 332 - 322. Let l(k) = k**3 - 5*k**2 + 6*k - 6. Let z be l(5). Let h = -17 + z. Calculate the smallest common multiple of h and j. 7 Let o = 5
{ "pile_set_name": "DM Mathematics" }
the power of 1/5, to the nearest integer? 68 What is 24565855 to the power of 1/3, to the nearest integer? 291 What is 503166623 to the power of 1/3, to the nearest integer? 795 What is 9980605 to the power of 1/5, to the nearest integer? 25 What is the eighth root of 53572984 to the nearest integer? 9 What is the ninth root of 1155114366 to the nearest integer? 10 What is 586012904 to the power of 1/6, to the nearest integer? 29 What is the square root of 114730204 to the nearest integer? 10711 What is 2039013189 to the power of 1/8, to the nearest integer? 15 What is 5215175399 to the power of 1/3, to the nearest integer? 1734 What is 2968978153 to the power of 1/9, to the nearest integer? 11 What is 2004437066 to the power of 1/5, to the nearest integer? 73 What is 15508047 to the power of 1/2, to the nearest integer? 3938 What is the ninth root of 810955172 to the nearest integer? 10 What is 2462017193 to the power of 1/2, to the nearest integer? 49619 What is 28852589 to the power of 1/2, to the nearest integer? 5371 What is the third root of 424030237 to the nearest integer? 751 What is the cube root of 1819107066 to the nearest integer? 1221 What is 127383445 to the power of 1/10, to the nearest integer? 6 What is 77482003 to the power of 1/5, to the nearest integer? 38 What is the eighth root of 809225845 to the nearest integer? 13 What is the fifth root of 575160868 to the nearest integer? 56 What is the sixth root of 28372499 to the nearest integer? 17 What is the square root of 647862815 to the nearest integer? 25453 What is the third root of 697602624 to the nearest integer? 887 What is 3178337389 to the power of 1/2, to the nearest integer? 56377 What is 2396855354 to the power of 1/8, to the nearest integer? 15 What is the third root of 227090005 to the nearest integer? 610 What is the third root of 42372614 to the nearest integer? 349 What is 289371788 to the power of 1/7, to the nearest integer? 16 What is the square root of 27384414 to the nearest integer? 5233 What is the square root of 80779074 to the nearest integer? 8988 What is 10445789 to the power of 1/9, to the nearest integer? 6 What is the square root of 143365091 to the nearest integer? 11974 What is 684814924 to the power of 1/3, to the nearest integer? 881 What is 71974422 to the power of 1/2, to the nearest integer? 8484 What is 37176307 to the power of 1/3, to the nearest integer? 334 What is 4016506065 to the power of 1/2, to the nearest integer? 63376 What is 73916969 to the power of 1/10, to the nearest integer? 6 What is 239591345 to the power of 1/5, to the nearest integer? 47 What is the square root of 540949605 to the nearest integer? 23258 What is the seventh root of 720515065 to the nearest integer? 18 What is the square root of 222003822 to the nearest integer? 14900 What is 114657781 to the power of 1/3, to the nearest integer? 486 What is 164927297 to the power of 1/3, to the nearest integer? 548 What is 38923295 to the power of 1/3, to the nearest integer? 339 What is the fourth root of 2912337922 to the nearest integer? 232 What is the square root of 700227254 to the nearest integer? 26462 What is 38358757 to the power of 1/3, to the nearest integer? 337 What is 138479547 to the power of 1/2, to the nearest integer? 11768 What is the seventh root of 19012405 to the nearest integer? 11 What is the cube root of 477591856 to the nearest integer? 782 What is the third root of 967518941 to the nearest integer? 989 What is the seventh root of 236506484 to the nearest integer? 16 What is the square root of 2249560979 to the nearest integer? 47430 What is 210096198 to the power of 1/2, to the nearest integer? 14495 What is 3189049188 to the power of 1/7, to the nearest integer? 23 What is the square root of 89905427 to the nearest integer? 9482 What is 5039036001 to the power of 1/4, to the nearest integer? 266 What is 292697466 to the power of 1/3, to the nearest integer? 664 What is 379562031 to the power of 1/9, to the nearest integer? 9 What is the fourth root of 188616943 to the nearest integer? 117 What is 21573223 to the power of 1/3, to the nearest integer? 278 What is the ninth root of 395617430 to the nearest integer? 9 What is 5418807131 to the power of 1/8, to the nearest integer? 16 What is 69234566 to the power of 1/7, to the nearest integer? 13 What is the square root of 202347341 to the nearest integer? 14225 What is the third root of 1430369968 to the nearest integer? 1127 What is the third root of 133388579 to the nearest integer? 511 What is the seventh root of 801262904 to the nearest integer? 19 What is the ninth root of 66318726 to the nearest integer? 7 What is the sixth root of 1301239072 to the nearest integer? 33 What is 1125599650 to the power of 1/3, to the nearest integer? 1040 What is 1189736071 to the power of 1/5, to the nearest integer? 65 What is 40639334 to the power of 1/8, to the nearest integer? 9 What is 319325288 to the power of 1/5, to the nearest integer? 50 What is the cube root of 12631334 to the nearest integer? 233 What is 130319273 to the power of 1/4, to the nearest integer? 107 What is the third root of 932048517 to the nearest integer? 977 What is the third root of 146234156 to the nearest integer? 527 What is the eighth root of 1742513935 to the nearest integer? 14 What is 31131047 to the power of 1/2, to the nearest integer? 5580 What is the sixth root of 2867079130 to the nearest integer? 38 What is 15226737 to the power of 1/2, to the nearest integer? 3902 What is the square root of 1758772201 to the nearest integer? 41938 What is 166720968 to the power of 1/4, to the nearest integer? 114 What is 102643630 to the power of 1/3, to the nearest integer? 468 What is 2639686689 to the power of 1/10, to the nearest integer? 9 What is 24177403 to the power of 1/8, to the nearest integer? 8 What is the third root of 23456061 to the nearest integer? 286 What is the square root of 36306072 to the nearest integer? 6025 What is 27098507 to the power of 1/3, to the nearest integer? 300 What is 524063150 to the power of 1/8, to the nearest integer? 12 What is the square root of 54693913 to the nearest integer? 7396 What is 426659784 to the power of 1/9, to the nearest integer? 9 What is the seventh root of 1030837537 to the nearest integer? 19 What is the eighth root of 55821392 to the nearest integer? 9 What is 231667035 to the power of 1/6, to the nearest integer? 25 What is the fourth root of 99435540 to the nearest integer? 100 What is the ninth root of 3094815705 to the nearest integer? 11 What is 1016778233 to the power of 1/2, to the nearest integer? 31887 What is the third root of 155202992 to the nearest integer? 537 What is 777519269 to the power of 1/7, to the nearest integer? 19 What is the square root of 2298816998 to the nearest integer? 47946 What is 2028675730 to the power of 1/8, to the nearest integer? 15 What is the fourth root of 382648468 to the nearest integer? 140 What is 185791699 to the power of 1/7, to the nearest integer? 15 What is the square root of 10727027 to the nearest integer? 3275 What is 25169017 to the power of 1/3, to the nearest integer? 293 What is the square root of 1107581020 to the nearest integer? 33280 What is 3953518 to the power of 1/7, to the nearest integer? 9 What is 371225798 to the power of 1/2, to the nearest integer? 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{ "pile_set_name": "DM Mathematics" }
v**2 Let k(l) = 19*l**2 - 3. Let j(q) = 18*q**2. Give k(j(a)). 6156*a**4 - 3 Let a(i) = -3*i**2. Let s be (-1264)/(-14) + 2/(-7). Let t(r) = s*r - 90*r - 4*r**2. What is a(t(h))? -48*h**4 Let i(f) = -f. Let n(w) = 24*w**2 + 2*w. Calculate n(i(d)). 24*d**2 - 2*d Let k(j) = 2*j. Let q(w) be the third derivative of -w**4/8 + w**3/6 - 14*w**2 + 3. Give q(k(g)). -6*g + 1 Let f(l) = 4 + l**2 + 1 - 5. Let r(w) = 5*w - 3. Let b(y) = 29*y - 17. Let u(i) = 6*b(i) - 34*r(i). What is f(u(q))? 16*q**2 Let l(s) = -2*s. Let b(k) be the first derivative of k**5/30 + k**3 - 3. Let f(r) be the third derivative of b(r). What is l(f(j))? -8*j Let k(l) be the second derivative of -l**4/6 - l. Let t(m) = -2*m + 2*m + m. Calculate t(k(q)). -2*q**2 Let v(l) = -3*l. Let q(d) be the second derivative of 0*d**3 + 0*d**2 - 1/12*d**4 - d + 0. What is v(q(j))? 3*j**2 Let c(l) = 4*l**2 + 6*l - 6. Let b(i) = i - 1. Let a(z) = -6*b(z) + c(z). Let x(j) = 7*j**2. Calculate x(a(g)). 112*g**4 Let i(b) = -b**2 + 18. Let k(g) = -8*g**2. Calculate i(k(v)). -64*v**4 + 18 Suppose 0 = 4*k - 2*k - 30. Let d(z) = z. Let w(u) = -4*u. Let h(s) = k*d(s) + 5*w(s). Let q(j) = -j**2. Calculate q(h(o)). -25*o**2 Let z(m) = -20*m**2. Let x(u) be the second derivative of u**4/6 + 3*u. What is z(x(c))? -80*c**4 Let k(x) be the second derivative of x**5/30 + x**2 - 5*x. Let l(i) be the first derivative of k(i). Let g(o) = -o**2. Determine l(g(b)). 2*b**4 Let b(l) = 2*l. Let u(v) = -14*v. Let q(m) = 9*m. Let n(h) = 8*q(h) + 5*u(h). Let p(w) = -5*b(w) + 4*n(w). Let k(x) = -2*x. Calculate p(k(d)). 4*d Let z(n) = n**2. Let s(c) = 4866*c. What is s(z(l))? 4866*l**2 Let j(d) = -2*d. Let r(b) be the third derivative of -5*b**4/24 + 7*b**2. Give j(r(n)). 10*n Let y(m) = -4*m**2. Let f(o) be the third derivative of o**6/360 - o**4/12 + o**2. Let q(n) be the second derivative of f(n). Calculate y(q(l)). -16*l**2 Let k(r) be the second derivative of r**5/60 + r**3/2 - 9*r. Let n(y) be the second derivative of k(y). Let o(s) = -4*s**2. Give o(n(t)). -16*t**2 Let f(g) = -7*g + 5*g + 4*g. Let m(y) be the first derivative of -y**2/2 + 5. What is m(f(n))? -2*n Let o(a) be the third derivative of 0 + 1/24*a**4 + 2*a**2 + 0*a + 0*a**3. Let d(k) = 8*k**2 - k**2 - 2*k**2. Calculate d(o(f)). 5*f**2 Let l(n) be the third derivative of 4*n**4/3 + 6*n**2. Let j(i) = 2*i**2. Calculate j(l(z)). 2048*z**2 Let j(l) = -2*l**2. Let g(a) = -45 + 22 + 23 - a**2. Determine j(g(s)). -2*s**4 Let f(v) = -2*v + 26. Let s(i) = -32*i**2. What is f(s(b))? 64*b**2 + 26 Suppose -52 = -0*p - 2*p. Let a(q) = -5*q**2 - 3*q. Let r(i) = 21*i**2 + 13*i. Let y(m) = p*a(m) + 6*r(m). Let j(b) = b**2. Calculate j(y(z)). 16*z**4 Let n(z) = -11*z. Suppose -f = -r - 4*f - 13, 5*f = -25. Let c(i) = 10*i**2 - 12*i**r + i**2. Calculate c(n(o)). -121*o**2 Let o be 2 + (-2 - -5) + 0. Let b(g) = o*g - 14*g + 8*g. Let a(f) = -f**2. Determine b(a(v)). v**2 Let k(i) = 17*i + 17*i - 31*i. Let d(x) = 9*x**2. What is k(d(s))? 27*s**2 Let h(t) = t. Let m(o) = -o - 3459. Determine m(h(u)). -u - 3459 Let t(a) = -14098*a - 1. Let f(h) = -h. Give t(f(k)). 14098*k - 1 Let o(n) = -16 + 35 - 19 - 2*n**2. Let u(b) = -3*b. Calculate u(o(x)). 6*x**2 Let s(o) = -79*o**2. Let a(z) = 45*z. What is s(a(g))? -159975*g**2 Let d(q) = 2*q. Let n(z) be the second derivative of -17*z**4/12 + 12*z. What is d(n(j))? -34*j**2 Suppose -c = -y, y = -c - y + 12. Let h be (-8)/16*(0 - c). Let f(l) = -l - h*l + l. Let u(o) = 2*o. Give u(f(b)). -4*b Let o(c) = -422*c. Let w(f) = 2*f**2. Determine w(o(u)). 356168*u**2 Let h(u) = 2*u. Let c(d) be the first derivative of 0*d + 7/2*d**2 + 4. Give c(h(y)). 14*y Let u(y) be the second derivative of 2/3*y**3 + 0 + 2*y + 0*y**2. Let p(q) = -q. Give u(p(n)). -4*n Let w(a) = a. Let t(k) = -49*k**2 - 35. Give w(t(y)). -49*y**2 - 35 Let f(o) = 6*o - 6*o - o**2. Let s(d) be the first derivative of 2*d**3/3 - 2. Calculate f(s(y)). -4*y**4 Let j(f) = -3*f. Let x(t) = -25*t**2. Determine x(j(w)). -225*w**2 Let u(d) = 5*d. Let p(g) = -4*g**2 - 19*g. Give p(u(l)). -100*l**2 - 95*l Let n(m) = -21*m**2 + 14*m**2 + 6*m**2. Let r(g) = 3*g. Give n(r(o)). -9*o**2 Let b(s) = 2*s**2. Let x(q) = 3*q**2 - 6. What is b(x(d))? 18*d**4 - 72*d**2 + 72 Let k(t) = 5*t + 5. Let z(u) = 228*u. What is k(z(l))? 1140*l + 5 Let t(a) = -6*a. Let q(s) = -s**2 + 2*s - 2. Let u(z) = 4*z**2 - 9*z + 9. Let p(y) = 9*q(y) + 2*u(y). Give p(t(d)). -36*d**2 Let s(l) = -32*l**2 + 1. Let g(k) = -2. Let z(p) = p - 10. Let m(j) = 5*g(j) - z(j). Calculate s(m(c)). -32*c**2 + 1 Suppose -2*b = -0*b. Let f(y) be the first derivative of -3 + 0*y**2 + 1/3*y**3 + b*y. Let l(v) = -4*v. Give l(f(p)). -4*p**2 Let o(y) = -16*y + 8*y + 8*y - 6*y**2. Let a(p) be the first derivative of -p**2 - 1. Determine a(o(s)). 12*s**2 Let z(f) = 31 - 3*f - 31. Let l(a) = -2*a**2. Give l(z(q)). -18*q**2 Let x(t) = -9*t - 2*t**2 + 9*t. Let f(h) = -h. Determine x(f(n)). -2*n**2 Let t(z) be the third derivative of -z**4/24 - z**2. Let i(p) = 141*p - 4*p**2 - 282*p + 141*p. Calculate i(t(l)). -4*l**2 Let f(k) be the first derivative of -k**6/360 + k**3/3 - 2. Let q(p) be the third derivative of f(p). Let h(t) = 2*t. Calculate q(h(x)). -4*x**2 Let s(z) = -2*z + 9. Let u(v) = -3*v**2. What is s(u(x))? 6*x**2 + 9 Let p(x) = 2 - 2*x - 2. Let a(h) = 2*h**2. Let m(g) = 9*g**2. Let b(t) = 15*a(t) - 4*m(t). What is p(b(v))? 12*v**2 Let i(g) = -3*g**2 - 13. Let j(x) = 7*x**2. Calculate j(i(s)). 63*s**4 + 546*s**2 + 1183 Let h(c) = -3*c. Let s(v) = v + 4. Let u be s(-7). Let n(j) = 6*j**2 + 8. Let m(r) = 2*r**2 + 3. Let a(o) = u*n(o) + 8*m(o). What is h(a(x))? 6*x**2 Let j(y) = 10*y**2. Let c(r) be the second derivative of 7*r**3/6 + 5*r. Determine j(c(h)). 490*h**2 Let z(g) = 170 - 170 - 2*g**2. Let l(h) = 3*h**2. Give z(l(k)). -18*k**4 Let r(u) be the first derivative of -u**3/3 - 4. Let z(n) be the third derivative of -n**4/6 - n**2. Give r(z(x)). -16*x**2 Let f(g) = -g. Let q(n) = 8*n - 2. What is f(q(m))? -8*m + 2 Let o(w) = 4*w + 11. Let j(t) = 4*t**2. Give o(j(l)). 16*l**2 + 11 Let d(v) = v**2. Suppose 3*r = -9 - 3. Let c = 6 + r. Let p(m) = -8 + 8 - c*m**2. Give p(d(b)). -2*b**4 Let n(l) = 2*l**2. Suppose -1 = -4*s + 7. Let t(o) = 20*o - 5*o**s - 20*o. Determine t(n(x)). -20*x**4 Let y(k) = -k**2. Let v(g) = 19*g. Let r(u) = 20*u. Let h(f) = -3*r(f) + 4*v(f). Calculate h(y(z)). -16*z**2 Let x(u) = -4*u. Let k(t) = -148*t. Give x(k(n)). 592*n Suppose -3 - 5 = -4*z. Let h(k) = 2*k**2 - k**z + k**2. Let m(w) = -3*w**2 + 2 - 2 + 0. Calculate h(m(q)). 18*q**4 Let b(l) = -23*l. Let d(r) = -7*r**2. Determine b(d(k)). 161*k**2 Let f = -1 + 3. Let b(k) = 2*k**2 + 4*k**2 - 3*k**f. Let x(u) be the third derivative of -u**5/30 - u**2. What is x(b(v))? -18*v**4 Let v(k) = 3*k. Let x(s) = 2*s. What is v(x(o))? 6*o Let a(h) be the first derivative of -h**3/3 + 16. Let f(s) be the second derivative of s**3/2 + s. Calculate a(f(r)). -9*r**2 Let y(q) = q. Let n(u) = -6*u. Let h(c) = -4*n(c) - 21*y(c). Suppose -2*g = g - 3, -1 = i - 3*g. Let t(d) = -3 - 2*d**i + 3. Calculate h(t(z)). -6*z**2 Let y(k) = 4*k**2. Let i(j) = -48*j. Give i(y(f)). -192*f**2 Let g(a) = 15*a**2 + a - a - 21*a**2. Let x(y) = y**2. What is g(x(v))? -6*v**4 Let d(p) = 2*p**2. Let a(r) = -r. Let z(m) = m. Let y(h) = 2*a(h) + 3*z(h). What is d(y(k))? 2*k**2 Suppose -x + 2*g - 1 = -0*x, -x - g = -8. Let u(s) = s - 7 + x + 2. Let m(z) = -6*z. What is u(m(f))? -6*f Let z(q) = -16*q**2. Let b(t) = 6*t + 8*t + 4*t - 15*t. Give b(z(w)). -48*w**2 Let g(z) = -z**2. Let n = 28 + -18. Let l be 4/n + 16/10. Let u(p) = -2*p**l + 3 + 0*p**2 - 3. Give u(g(j)). -2*j**4 Let k(y) = -2*y**2. Suppose 2*i + 6 = 5*i. Let f(p) be the third derivative of 0*p**3 + 1/8*p**4 + 0 + 0*p - 2*p**i. Determine f(k(u)). -6*u**2 Let m(u) = -u - 1. Let i(y) = -3*y - 4. Let s(q) = i(q) - 4*m(q). Let t(h) = 6*h. Give t(s(p)). 6*p Let g(m) = 2*m**2. Let k(h) be the third derivative of 5*h**4/12 + 2*h**2. Give g(k(l)). 200*l**2 Let h(g) be the third derivative of -2*g**2 + 0*g + 0 + 0*g**3 + 0*g**4 + 1/30*g**5. Let n(d) = -d. What is h(n(p))? 2*p**2 Let y(d) be the third derivative of -d**5/60 + 9*d**2. Let i(v) = 3*v. Calculate y(i(w)). -9*w**2 Let k(v) = 2*v**2 + 23. Let f(n) = 21*n. Give f(k(x)). 42*x**2 +
{ "pile_set_name": "DM Mathematics" }
13). Solve -6*i - 6 - q = 0 for i. -5 Let a(g) = g**3 - 8*g**2 + 9*g + 20. Let v be a(6). Suppose -4*h + 8 = -v*c, 0 = 2*h + 4*c - 24. Solve 2 + 14 = h*j for j. 4 Let g(x) = -8*x - 2*x**2 + 14 + x**2 + 6*x + 0*x. Let n be g(-4). Solve -26 = -5*v - n for v. 4 Suppose 3*r + a + 8 = -a, -5*r - 16 = 4*a. Let q(l) = l - 9. Let m be q(12). Solve r = m*i - 4*i - 2 for i. -2 Let f(d) = -2*d**3 - 17*d**2 - 5*d + 29. Let v be f(-8). Solve 3*w = v*w - 10 for w. 5 Let h(y) = -2*y + 0 + 2 - 3 + 9. Let s be (-1)/(3*(-3)/(-54)). Let l be h(s). Solve -l = 4*n - 0*n for n. -5 Suppose 11 - 30 = -y. Suppose -7*p - 16 = y. Let q(z) = -z**2 - 8*z - 6. Let o be q(p). Solve 2*a = -1 - o for a. -5 Let m(s) = -s**3 - 7*s**2 - 13*s - 32. Let o be m(-6). Solve 10 = -5*v - o for v. -4 Let c(h) = -h**2 - 8*h + 7. Let g be c(-8). Let n(z) = -5*z - 1 + 0 - z + g*z. Let w be n(3). Solve y = w*y for y. 0 Let p(b) = 41*b + 255. Let j be p(-6). Solve -4 = j*u + 5 for u. -1 Let s be (-5)/15*-3*2. Suppose 2 = -r + s*r. Solve r*h - 9 = -1 for h. 4 Let k = 31 + -29. Suppose 5*g - k*g = 0. Solve g = -0*f + 5*f - 5 for f. 1 Let f be ((5 + -5)/3)/(-2). Let h be (-1 - 1) + 6*1. Suppose -h*x + 2*x = f. Solve -w + 6*w - 15 = x for w. 3 Let l(v) = -v**3 - 8*v**2 - 8*v. Let z be l(-7). Let t = 11 - z. Solve -o + t = 3*o for o. 1 Suppose 4*t - t - 12 = 0. Let s(i) = -i**3 + 5*i**2 - 4*i + 5. Let v be s(t). Suppose 3*m = 14 - 2. Solve -v = -y - m for y. 1 Suppose 0 = 4*n - u + 151, 0*u - 2*u = 10. Let i = n - -44. Let p(l) = 15*l**2 + l + 1. Let t be p(-1). Solve -2*x - t = -i*x for x. 5 Let l = -968 + 970. Solve -4*z + l*z = -0*z for z. 0 Suppose 13*v - 9*v = 64. Solve 12*h - 8 - v = 0 for h. 2 Suppose -x = 2*c - 3, 57*x = -c + 52*x - 3. Solve 0 = c*g - 8 for g. 4 Let k be (760/36)/5 + 18/(-81). Solve 0 = -k*i - 20 + 4 for i. -4 Let w(m) = -27*m**3 + m**2 - 1. Let u be w(1). Let s = u - -27. Suppose -2*f = -3*g - 15, 5*f - g = 9 + 9. Solve -a = f - s for a. -3 Let z(l) = -2*l - 7. Let w be z(-6). Solve -20 = 5*n + w for n. -5 Let n = -26 + 16. Let y be ((-60)/50)/(4/n). Solve h - 2*h + y = 0 for h. 3 Suppose 11*h - 180 = 29. Solve -5*z = -h - 6 for z. 5 Let z be 1/2 - (-8580)/264. Solve p + z = -10*p for p. -3 Let q be (-1 - 2 - -4) + -6 + 36. Solve 8 = q*j - 33*j for j. -4 Suppose 2*x + 5*f + 6 = 0, 5 = -x - 2*f + 3. Suppose -x*l + 10 = 2*y, 5*l + 0*l - 10 = 0. Solve -y*j = -20 + 8 for j. 4 Let o be (144/112)/(1/7). Solve -o = 4*t + 7 for t. -4 Let z be (-188)/(-16) - (-2)/8. Suppose -14*o + 3*i = -17*o + 12, 0 = -o + 5*i - 8. Solve -4 + z = -o*q for q. -4 Let c(y) = -15*y. Let r be c(-1). Let k be (24/15)/((-2)/10). Let l be (-2)/k - 14/(-8). Solve l*n = -3*n - r for n. -3 Let q be ((-12)/(-16))/(2/32). Suppose 2*t = 4*r + q, -2 - 1 = -t + r. Suppose t = 3*g - 15, -5*g - 20 = 2*f - 7*f. Solve 5*i + 16 + f = 0 for i. -5 Let i(h) = -h**3 + 2*h**2 + 2*h - 3. Let m = 29 + -28. Let p be i(m). Solve -5*z + 0*z = p for z. 0 Let u be 0 + (0 - -1 - 1). Suppose -6*q = 6*q - 24. Solve -q*s + 2 = -u for s. 1 Let w = 5 + 15. Suppose -w*x - 6 = -22*x. Solve 2*o = -x*o for o. 0 Suppose k = -2*g + 6*k - 55, 4*g + 5*k + 65 = 0. Let a = 41 + g. Let c = a - 18. Solve c*q - 2*q - 2 = 0 for q. 2 Let k(a) = -2*a**2 + 29*a - 8. Let z be k(14). Solve -i - 10 = -z*i for i. 2 Suppose -f + 57 - 37 = 0. Solve 0 = 9*y - 4*y + f for y. -4 Let g = 375 + -375. Solve 3*j - j = g for j. 0 Let m(c) = c**3 - 16*c**2 + 14*c + 8. Let r(x) = 2*x**3 - 31*x**2 + 27*x + 16. Let j(u) = 5*m(u) - 3*r(u). Let a be j(12). Solve a*l = -7 - 1 for l. -2 Let u = -89 - -92. Solve -4*n + u*n + 2 = 0 for n. 2 Let o = 66 - 51. Let s = 5 - 3. Suppose -u - 2 = 4*f + 2, 4*f = -5*u - 20. Solve s*v + 3*v + o = f for v. -3 Let s = -347 - -356. Solve m - s + 9 = 0 for m. 0 Let p(l) = l**3 + 4*l**2 + 3*l. Let o be p(-3). Suppose o = -4*t - 61 + 301. Suppose 25 = -5*h + t. Solve 3 + h = 2*s for s. 5 Let i(c) = -12*c - 11. Let w(j) = j. Let s(r) = i(r) + 6*w(r). Let x be s(-3). Solve 2*a = -1 + x for a. 3 Suppose 5*i + 87 + 78 = 0. Let s = -21 - i. Solve 5*z + 8 = -s for z. -4 Let w = -34 - -39. Solve 19 - 24 = w*t for t. -1 Let q = -158 + 152. Let g(n) = 3*n + 33. Let d be g(q). Solve d = u - 4*u for u. -5 Suppose 8 + 11 = r. Suppose -21 - r = -2*w. Suppose t - x = -2*x - 2, -4*t + 3*x = -w. Solve t*k = -2 - 4 for k. -3 Let i be (43 - 48)*(1 + 18/(-10)). Solve 26 - 10 = -i*l for l. -4 Let r(b) = -b**2 + 20*b + 69. Let v be r(23). Solve v = -5*t - 2 - 3 for t. -1 Suppose -8 = 5*r + 62. Let q = r + 19. Let t = q + -2. Solve -t = -3*j + 3 for j. 2 Suppose 3*b - 18 = -3*a, 4*a - 3*b - 12 = -4*b. Suppose 7 = -a*c + 9. Solve -2*y + c = -5 for y. 3 Let r(z) = 3*z**2 - 9*z - 18. Let n(g) = -4*g**2 + 9*g + 17. Let v(d) = -2*n(d) - 3*r(d). Let x be v(10). Solve -2*p = -0*p - x for p. 5 Suppose d = 3*l + 14, 2*d + 0*d - 5*l - 23 = 0. Let u be 0/(3 + -5) - d/1. Solve 4*n - u = 19 for n. 5 Suppose v = -v + 4. Suppose 3*f = -3*d - 12, 7*d = 2*d + v*f + 8. Let m(u) = -2*u + 16. Let s be m(7). Solve -s*i = -d*i for i. 0 Let y = 1081 + -1063. Solve 54*p - 60*p = y for p. -3 Let p = 1229 - 1227. Solve 8 = -p*x + 6 for x. -1 Let t = 527 + -525. Solve -2*f - t*f - 12 = 0 for f. -3 Let o(n) = n + 9. Let k be o(-5). Suppose -k*a + 17 = 5. Suppose 4*w + 6 = -p, p - w - 2*w = 8. Solve p*r - a*r = -4 for r. 4 Suppose 0 = 3*p + 3*p - 12. Suppose 0 = -p*f - f + 9. Solve -7 = f*x + 5 for x. -4 Suppose -20*k + 70 + 230 = 0. Solve 6*j + k = 9*j for j. 5 Let z(l) = 4*l**2 + 15*l + 6. Let m be z(-6). Suppose d + 24 = f - 4*d, -5*d = 5*f - m. Solve -4*a = -f - 2 for a. 4 Let z be 1/3 + 520/78. Solve -z*j + 2*j + 20 = 0 for j. 4 Let t(g) = 6*g**2 - 51*g - 24. Let x(s) = 5*s**2 - 50*s - 23. Let p(r) = -3*t(r) + 4*x(r). Let b be p(24). Solve 2*u = -b - 0 for u. -2 Suppose -78*u = -128*u + 650. Solve -5*y - u*y = -18 for y. 1 Let h = -33 + 36. Suppose 14 = h*q + j, -5*q + 5*j + 1 = -9. Solve -q*g - 1 = 7 for g. -2 Let n be (-134)/(-201) - (8/3)/4. Suppose b - 2*b + 6 = 0. Let j(o) = -o**2 + 6*o + 2. Let r be j(b). Solve -3*f + 2*f + r = n for f. 2 Let v = -1545 + 1545. Solve 0*a + 9*a = v for a. 0 Suppose 4*j = 12 + 8. Let r be (6/(-9))/((-2)/3). Let o(u) = 3*u + 77. Let d be o(-25). Solve -j = -d*a + r for a. 3 Let y(n) = n**3 + 4*n**2 - 10*n - 10. Let z be y(-5). Solve -20 = 19*s - z*s for s. -5 Let v(d) = d**3 - 9*d**2 + 16*d - 3. Let a be v(7). Solve -7*s + a*s - 4 = 0 for s. 1 Let j(q) = -q**3 - 7*q**2 - q - 13. Let g be j(-7). Let t = g + 4. Let i be 8 + 1/t*6. Solve -2*m + 12 = -i*m for m. -4 Suppose -31 = 4*l + 5*r, -3*l + 4*l + 5*r = -19. Let x(t) = -t**3 - 5*t**2 - 6*t - 6. Let f be x(l). Solve 3*n + 7 + f = 0 for n. -3 Suppose -2*x = -l - 20, 2*x = -0*x - 2*l + 14. Let v(k) = k**3 - 8*k**2 - 9*k + 4. Let c be v(x). Solve -2*j + c = 2*j for j. 1 Suppose -2*o + 3*o - 29 = 4*l, -56 = -4*o + l. Suppose -k + o = 8. Let y be (4/(-6))/(28/(-42)). Solve -t - y = -k for t. 4 Let i be (2 + 6)*15/(-1). Let o be 90/i*1*8/(-2). Solve o*d - 2 - 1 = 0 for d. 1 Suppose 129*w - 70 = 119*w. Solve -5*h + w*h + 8 = 0 for h. -4 Suppose 91 + 109 = 5*z. Solve 8*f = -0*f - z for f. -5 Let f be (30/20)/((-2)/(-4)). Suppose -5*w = -f*v - 18, 5*w = v - 3*v + 13. Solve w*r = r for r. 0 Suppose -16 = -48*b + 44*b. Suppose -6*c + b*k + 4 = -c, -k = -3*c + 1. Solve 3*o - 5*o = c for o. 0 Let u = 2552 + -2483. Solve 10*q - 33*q = u for q. -3 Suppose 0 = 1575*q - 1574*q - 7. Solve -2 = -q*u - 30 for u. -4 Suppose 5*j - 8 = j. Let p(c) = -c + 3 + c**3 + 3 - 5*c - 4*c**j. Let s be p(5). Solve k + 2 - s = 0 for k. -1 Suppose -11 = b + 4. Let n be (b/2)/((-21)/28). Solve -3*a - n = -4 for a. -2 Let v = 7 + -2. Let q = 7 - v. Suppose -2*s + 6*s - 2*o = 12, 5*s + 5*o = 0. Solve s*u - 4*u = q for u. -1 Suppose 3*d - 5*p + 48 + 12 = 0, -27 = 2*d + p. Let a(u) = -3*u - 2*u + 3*u + u - 3. Let k be a(d). Solve g = 4*g - k for g. 4 Let g(j) = -j**3 - 15*j**2 - 15*j - 13. Suppose -70 = 3*h + 2*h. Let t be g(h). Let o be (2 + -14)*t/(-2). Solve -n + o*n = 5 for n. 1 Let x = 19 + -10. Let b = 10 - x. Let p be b*-2 + (5 - -2). Solve -10 = p*l - 0*l for l. -2 Suppose 49 + 7 = 4*f. Let x(c) = -c**3 + 13*c**2 + 12*c + 15. Let s be x(f). Let u(q) = -q - 10. Let r be u(s). Solve 3*a + r + 3 = 0 for a. -2 Suppose 0 = 3*z - 4*
{ "pile_set_name": "DM Mathematics" }
rivative of -137*n**3 - 25*n**3 + 92*n**2 + 41*n**3 + m*n**3 wrt n. -708 Let y(q) be the third derivative of q**8/336 + 11*q**6/20 - 353*q**4/24 + 722*q**2. Find the second derivative of y(t) wrt t. 20*t**3 + 396*t Let d(c) = -603 + 613 - 147*c - 7*c + 275*c**2. Let v(z) = -413*z**2 + 231*z - 16. Let u(s) = 8*d(s) + 5*v(s). Find the second derivative of u(p) wrt p. 270 Let f(j) = -8901*j**3 - 3*j**2 - 1422*j - 2. Let t(q) = -17801*q**3 - 5*q**2 - 2843*q - 3. Let c(u) = 5*f(u) - 3*t(u). Find the second derivative of c(n) wrt n. 53388*n Let q be -1 + (-205)/(-20) + 10/(-8). What is the first derivative of -q*a - 79 - 33*a**2 - 4*a + 10*a wrt a? -66*a - 2 Let i(a) = a + 12. Let n be i(-10). Suppose 3*v = 2*t - v - 1434, 2855 = 4*t + 5*v. Differentiate -11*w**3 - 2*w**3 - 44 - t*w**n + 715*w**2 wrt w. -39*w**2 Let m(l) be the first derivative of 1260*l**4 + l**3/3 + 14*l**2 + l - 2881. Find the third derivative of m(p) wrt p. 30240 Let k(r) be the first derivative of 11*r**5/5 - 49*r**3/3 + 4133*r - 3472. Differentiate k(w) with respect to w. 44*w**3 - 98*w Suppose -7*n = -91 + 70. What is the second derivative of -37*p**n + 108*p - 15*p - 9*p wrt p? -222*p Let y be -3 + 2 - (3 + (-12)/2). Find the first derivative of -5*d**3 + 26 - 11 + 3*d**2 + 4*d**3 + 2*d**y wrt d. -3*d**2 + 10*d Let y(u) be the second derivative of -7*u**5/40 + 7*u**4/4 + u**3/3 - 29*u**2/2 - 84*u. Let p(g) be the second derivative of y(g). Differentiate p(q) wrt q. -21 Let c(x) be the second derivative of -111*x + 0*x**5 + 0*x**2 + 0 - 32/15*x**6 + 73/6*x**3 + 0*x**4. Find the second derivative of c(t) wrt t. -768*t**2 Find the third derivative of 3*l**2 + 63*l - 180 - 22*l - 178 - 10*l**4 + 135*l**3 + 352 wrt l. -240*l + 810 Let y(l) be the second derivative of -37*l**8/56 + l**7/42 + 3*l**5/20 - 23*l**4/2 - l**3/3 + 2*l**2 + 4271*l. Find the third derivative of y(i) wrt i. -4440*i**3 + 60*i**2 + 18 Let u be ((-2)/9)/((-29)/261). Let a be 2 + -2 + -2 - (-40)/u. Find the third derivative of 25*o**4 - 5*o**2 - a*o**4 - o + 45*o**4 + 18*o**2 wrt o. 1248*o Let j(m) be the first derivative of -12249*m**5/5 + 2290*m**2 - 2788. What is the second derivative of j(b) wrt b? -146988*b**2 Let n be (4 + -1)*(8 - (6 - 1)). What is the third derivative of 1047*x**4 + n - 520*x**4 - 5*x**2 - 471*x**4 wrt x? 1344*x Suppose -24*u = -22*u - 4. Find the second derivative of -16*n**2 + 31*n**u + 18*n**2 - 3*n + 5*n + 49 - n**3 wrt n. -6*n + 66 Let d(i) be the first derivative of 413*i**4/2 - i**3/3 - 244*i**2 - 3*i - 4550. What is the third derivative of d(w) wrt w? 4956 Let o(s) be the second derivative of 0*s**4 + 0*s**3 + 0 + 0*s**5 - 19/2*s**2 + 13/5*s**6 + 11*s. Differentiate o(g) wrt g. 312*g**3 Let a(g) be the first derivative of 0*g - 71/2*g**2 + 7*g**3 - 34. Find the second derivative of a(k) wrt k. 42 Find the third derivative of -17*t**6 + 9 + 8*t**5 + 213*t**6 + 35*t**5 - 43*t**5 + 33*t**2 wrt t. 23520*t**3 Let j(z) be the first derivative of z**2 - 47*z + 0*z**3 + 0*z**4 + 28 - 12/5*z**5. What is the first derivative of j(u) wrt u? -48*u**3 + 2 Let i be (-1 - -4) + -11 + 19. What is the second derivative of -5*a - 2 - 135*a**2 - i*a - 5*a + 16*a wrt a? -270 Let d(j) = 6*j**3 + j**2 - j. Let i(r) = 436*r**3 - 519*r**2 - 9*r. Let w(v) = -18*d(v) + 2*i(v). Find the third derivative of w(h) wrt h. 4584 Let z(v) be the first derivative of -3235*v**4/4 + 109*v**3/3 + 5*v**2/2 - 1354. What is the third derivative of z(c) wrt c? -19410 Let y(p) be the third derivative of 587*p**6/12 + 2905*p**3/2 - p**2 + 5*p + 127. What is the first derivative of y(g) wrt g? 17610*g**2 Let t(s) = 1032*s**2 - 328*s. Let u(a) = -1037*a**2 + 327*a. Let c(h) = -6*t(h) - 5*u(h). Find the second derivative of c(b) wrt b. -2014 Let n(h) = -7*h**3 + 3*h**2 + 5*h - 2. Let u be n(-2). What is the third derivative of -u*z**6 + 97 - z + 30*z**3 + z - 30*z**3 - z**2 wrt z? -6720*z**3 Let q(b) be the third derivative of -64*b**5/3 + 23*b**4/6 + 1264*b**2. What is the second derivative of q(g) wrt g? -2560 Let o(s) be the first derivative of 0*s**5 + 0*s**4 + 49 - 12*s**2 + 0*s + 0*s**3 - 67/6*s**6. Find the second derivative of o(u) wrt u. -1340*u**3 Let f(b) = -1674*b**3 - 851*b + 10. Let a(y) = -836*y**3 - 425*y + 6. Let n(h) = -5*a(h) + 3*f(h). What is the second derivative of n(o) wrt o? -5052*o Suppose 7*v = 112 - 70. Find the second derivative of 11*t - 84*t**2 - v*t**2 - 95*t wrt t. -180 Let m(j) be the third derivative of -15*j**6/2 + j**4/8 + 307*j**3/6 + 1152*j**2. Find the second derivative of m(o) wrt o. -5400*o Let s be 1*((2 - 6) + 7). Find the first derivative of 65*r**3 + 44 - r**s + 104*r**3 wrt r. 504*r**2 Suppose -3*h = 5*k - k - 16, 3*h - k = 11. What is the third derivative of 18*l**2 + l + 58 - 58 + 42*l**h wrt l? 1008*l Suppose 0 = 3*l - 3*z - 97 - 11, 0 = l + 2*z - 33. Let w = 209 + -179. What is the second derivative of -7*u**2 - l*u + 23*u + 0*u**2 + w*u wrt u? -14 Differentiate -1537 + 1884 + 5438*c + 4409 - 486*c with respect to c. 4952 What is the second derivative of 67 - 2709*p**2 - 22*p - 30*p + 27 - 22*p + 79*p wrt p? -5418 Let u = 73 + -68. What is the third derivative of -2*q**5 + 2*q**5 + q**3 + q**u - 2*q**3 - 47*q**2 wrt q? 60*q**2 - 6 Suppose -2*o + 4 = -4*w + 2*o, 5*o = w + 5. What is the derivative of -98*a**2 + w + 2 + 117*a**2 wrt a? 38*a Let a(u) be the third derivative of u**6/30 + 17*u**5/30 - 1267*u**4/24 + 2*u**2 - 739. Find the second derivative of a(n) wrt n. 24*n + 68 Let k(s) be the second derivative of 2*s**7/21 + 308*s**6/15 + 2*s**4 - 15*s**2 - s - 98. Find the third derivative of k(c) wrt c. 240*c**2 + 14784*c What is the second derivative of -971 + 322 + 323 + 1122*p + 323 + 436*p + 2862*p**2 wrt p? 5724 Let j(f) = -75*f**3 - 6*f - 301. Let g(i) = -i**3 - i. Let q(z) = 5*g(z) - j(z). What is the first derivative of q(w) wrt w? 210*w**2 + 1 Let q(b) be the second derivative of 703*b**3/6 + 929*b**2/2 + 852*b. What is the first derivative of q(k) wrt k? 703 Let t(f) = -111*f**5 + 2*f**3 + 36*f**2. Let m(w) = 223*w**5 - 3*w**3 - 75*w**2 + 2*w. Let y(a) = -4*m(a) - 7*t(a). Find the third derivative of y(q) wrt q. -6900*q**2 - 12 What is the derivative of -72*o + 23*o + 27*o + 605 - 250*o**2 + 22*o wrt o? -500*o What is the third derivative of -861*h**4 + 575*h**4 - 2765*h**4 - 920*h**2 wrt h? -73224*h Let u(s) = 2247*s**2 - 21*s - 6022. Let l(q) = -1123*q**2 + 12*q + 3011. Let h(f) = -7*l(f) - 4*u(f). Find the first derivative of h(z) wrt z. -2254*z Let g(h) be the second derivative of 109*h**6/2 - 1289*h**4/3 + h**2 + 2*h - 1510. Find the third derivative of g(m) wrt m. 39240*m Find the first derivative of -51 - 313 + 3*o**4 - 275 - 188 wrt o. 12*o**3 Find the first derivative of 5760*y**2 + 3685*y**2 + 1225*y**2 - 5520 + 1055 wrt y. 21340*y Suppose -z = -4*z + 9. Find the second derivative of -r + 20*r**3 + 52*r**z + 77*r wrt r. 432*r Find the second derivative of -1 + 1258*s**5 + 0 - 2182*s**5 + 1 - 985*s wrt s. -18480*s**3 Let w(f) = 4577*f**3 - 6*f**2 - 277*f - 2. Let p(u) = 4583*u**3 - 8*u**2 - 275*u - 2. Let v(q) = -2*p(q) + 3*w(q). Find the third derivative of v(m) wrt m. 27390 Let c = -71 + 75. What is the third derivative of -2*y**2 - 7*y**2 - y**3 + 39*y**2 - 18*y**4 - 32*y**c wrt y? -1200*y - 6 Let r(n) = -1850*n**2 + 64*n + 3363. Let a(j) = 1850*j**2 - 48*j - 3364. Let i(w) = -4*a(w) - 3*r(w). What is the derivative of i(b) wrt b? -3700*b What is the first derivative of 5262*m - 2971*m - 1174 - 3378*m wrt m? -1087 What is the third derivative of 100*g**2 + 45 + 84*g**2 - 188*g**2 - 267*g**4 wrt g? -6408*g Let l(a) be the third derivative of 793*a**5/5 - 199*a**4/24 + a**3/6 - 3594*a**2 + 2*a - 2. What is the second derivative of l(o) wrt o? 19032 Let j be (495/10)/(34/(-8) - -5). What is the second derivative of -2*m**4 - 59*m**5 + 113*m**5 + 218 + m - j - 2*m wrt m? 1080*m**3 - 24*m**2 Let n(a) = 192*a**2 + 7*a. Let h(s) = 577*s**2 + 21*s - 1. Suppose -30 = -7*j + 2*j. Let y(o) = j*h(o) - 17*n(o). What is the second derivative of y(f) wrt f? 396 What is the third derivative of 226 - 66*y**5 - 2*y**6 + 175 - 460 + 4*y**6 + 12*y**2 - 1481*y**5 + y wrt y? 240*y**3 - 92820*y**2 What is the derivative of -5817 - 15048131*n**3 + 2*n**4 - 11*n**2 + 15048
{ "pile_set_name": "DM Mathematics" }
2 Let m(o) = o**2 + 5*o. Let y = -110 + 106. Calculate m(y). -4 Let t = 5 - -1. Let x(k) = -k**2 + 6*k + 1. Determine x(t). 1 Let o(q) = -q**2 - q. Let m = -15 + 17. Let j = -3 + m. What is o(j)? 0 Let v(n) = n**2 + 3*n + 3. Let z(u) = -u**3 - 8*u**2 + 3*u + 19. Let m be z(-8). Give v(m). 13 Suppose -5 = -2*f - 1. Let x(w) = w - 3*w - f + w. Suppose 2*a - d - 3*d - 28 = 0, 3*a - 2*d - 22 = 0. Determine x(a). -6 Let v(r) = -5*r**2 - 10*r - 9. Let n(o) = -7*o**2 - 10*o - 9. Let s(u) = -3*n(u) + 4*v(u). Give s(10). -9 Let a(d) be the third derivative of d**5/60 - d**4/4 + 5*d**3/6 - 2*d**2. Suppose 4*w - 3*m + 40 = 2*m, -5*w - 50 = 2*m. Let j = -5 - w. Determine a(j). 0 Let o(h) = 4 - h + 0 + 0 - 3. Let d = 9 + -11. What is o(d)? 3 Let u be 1/2*(3 - -1). Let i(y) = -11 - y**u + 3*y + 4 + 4*y. Suppose 8*c - 25 = 3*c. Determine i(c). 3 Let h = 62 - 60. Let m(v) = -v**2 - v + 2. Calculate m(h). -4 Let n(o) be the third derivative of -o**5/60 + 7*o**4/24 + 2*o**3/3 + 5*o**2. Give n(6). 10 Let k(r) = 6*r - 6*r + 5*r**2. Let p be -4 - (3 + -3 + -3). Give k(p). 5 Let y be -1 + -2*(-1 - -2). Let p(l) = 2*l**2 + 15 - 6*l**2 - 32 + 3*l**2 + 20. Calculate p(y). -6 Let t(d) = 7*d + 13. Let u(z) = -9*z - 14. Let o(w) = 4*t(w) + 3*u(w). Determine o(-11). -1 Let c(o) = -4*o**3 + 6*o - 3. Let m(n) = -7*n**3 + n**2 + 12*n - 6. Let f(g) = -5*c(g) + 3*m(g). Calculate f(4). 5 Suppose r + 3 = -o + 2, -o + r - 7 = 0. Let x = o + 5. Let s(j) be the second derivative of -j**4/3 - j**2/2 + j. What is s(x)? -5 Suppose 10 = -u + 3*u. Suppose -5 = u*w + 10. Let k(m) = -2 - 5*m**2 + 4 + 2*m + 6*m**2. Calculate k(w). 5 Let f(t) be the third derivative of -t**4/24 - t**3/2 - 4*t**2. Calculate f(-7). 4 Let h(w) = 7*w**2 + w - 2. Let i(o) = -20*o**2 - 2*o + 7. Let a(x) = -17*h(x) - 6*i(x). Let q be 9/(-27) - (-57)/9. Calculate a(q). -2 Let z(q) = -q. Let c be (-36)/(-10) - (-2)/5. Let n(u) = u**3 - 5*u**2 + 6*u. Let d be n(c). Let x = d + -4. Give z(x). -4 Let x = -26 - -38. Let m be (2/4)/((-3)/x). Let a(k) = 1 - k + 1 - 4. What is a(m)? 0 Let x(f) = f**2 - 2*f + 4 + 9*f - 6*f + 3. Suppose -z + 1 = 3*c, -2*z + 4*c - 1 = 7. Let h = z - -2. What is x(h)? 7 Let h = 16 - 14. Let s(m) = 9*m - 1. Give s(h). 17 Let i(j) = -5*j - 2. Let t(f) = -f + 1. Let y(n) = -i(n) + 6*t(n). Suppose 4*k + 76 = 100. Determine y(k). 2 Let u(k) = -4*k + 1. Let t(b) = 3*b - 1. Let x(r) = 7*t(r) + 6*u(r). Determine x(1). -4 Let k(s) = 0 - 2*s + 4*s - 2*s**2 - 1. Suppose 4*c = 5*c - 2*v - 3, 0 = 2*c - 2*v - 8. Suppose -6*p - 5*y = -p - 5, c*p + 2*y = 8. Calculate k(p). -5 Suppose -7*n = -2*n - 10. Let f(v) = -v**2 - 3*v + 7. Let r(g) = g**2 + 2*g - 6. Let i(c) = -5*f(c) - 6*r(c). Give i(n). 3 Let d(x) = -5*x**3 - 5*x**2 - 2*x - 2*x + 5 + 4*x**3. Let b = 70 - 74. What is d(b)? 5 Suppose -13*p + 3 + 23 = 0. Let q(i) = -7*i + 3. Determine q(p). -11 Suppose -i = -2 - 3. Let m(h) be the third derivative of h**4/24 - 2*h**3/3 - 2*h**2. Give m(i). 1 Suppose -9 = -4*u + u. Let h be -1 + (-3)/(u/(-4)). Let f(s) = -2*s - 12 - h*s + 4*s. Determine f(-5). -7 Suppose y - 12 = 2*m, 3*y - m - 2 = 19. Let z(b) = b - 5. Let k be z(y). Let q(u) be the second derivative of u**4/6 - u**3/6 + 10*u. Give q(k). 1 Let o(z) = z**3 - 4*z**2 + 3*z. Let k(a) = a + 4. Let g be k(0). Let y = g - -1. Let l(f) = f - 3. Let q be l(y). Determine o(q). -2 Let g = -2 + 0. Let u(x) be the first derivative of 2*x**3/3 + x**2 - x - 96. Determine u(g). 3 Suppose 0 = -6*j + 8*j - 4. Let k(o) = 4*o**2 + 2*o + 4*o**2 + 0 - 6*o**j - 1. Determine k(-2). 3 Let x(o) = -o**3 + 2*o**2 + 3*o + 2. Let t be 4/10 - 16/(-10). Suppose -2*v - 2*j + 4 = 0, 3*j = t*j - 1. Calculate x(v). 2 Let s(l) = -l**2. Let h(z) = z**3 + 6*z**2 - z. Let u(w) = h(w) + 3*s(w). Let m(f) = f**3 - 6*f**2 - 6*f - 10. Let c = 7 - 0. Let y be m(c). Give u(y). 3 Let f(n) = n + 1. Let s(m) = -8*m + 1. Let i be s(-1). Let y = i + -5. Let v be f(y). Let a(p) = -p**2 + 5*p - 1. What is a(v)? -1 Let w(r) be the third derivative of -r**6/180 - r**4/3 - 6*r**2. Let i(n) be the second derivative of w(n). Suppose 1 = 2*b + 3. What is i(b)? 4 Let z(p) = -p**2 + 6*p - 6. Let j = 7 - 4. Suppose 3*f - 8 = -4*x, j*f = 2*x + 2*f - 14. Let g be z(x). Let h(u) = -2*u**3 + u**2. Give h(g). 3 Let z = -17 + 12. Let s(u) = 11*u**3 - u**2 - 12*u + 8. Let i(y) = -5*y**3 + 6*y - 4. Let p(o) = -9*i(o) - 4*s(o). Give p(z). 9 Suppose -7*p + 2*y = -4*p, y = 5*p - 7. Let z(x) = -6 - x - x**p + 0*x + x**3 + 0*x. Give z(0). -6 Let w(j) be the second derivative of j**4/12 + 2*j**2 - 16*j. Suppose 3*s - 6*s = 0. Calculate w(s). 4 Let m(k) = k - 1. Let r be m(3). Suppose -5*q + 26 = -2*t, -r*t + 6 = -q + 16. Let g(p) = -p**2 + 2*p + 4. Give g(q). -4 Let t(x) = 3*x**3 - x**2 - 2*x - 1. Let n be t(-1). Let k(w) = 5*w + 2. Determine k(n). -13 Let i(p) = 7*p**3 - 11*p**2 - 4*p + 6. Let x(h) = -15*h**3 + 23*h**2 + 8*h - 12. Let o(m) = 13*i(m) + 6*x(m). Calculate o(5). -14 Suppose t + 13 = -t + p, p - 5 = 0. Let y(k) = k**3 - k**2 + k. Let q(j) = 6*j**3 + 11*j + 6. Let c(g) = -q(g) + 5*y(g). Determine c(t). 2 Suppose -2 = 4*h - 10. Let r = h + -3. Let u(d) = -2 - d**3 + 3 + 5*d**2 - 6*d**2. Give u(r). 1 Let s(h) be the third derivative of h**6/120 - h**4/24 + 13*h**3/3 + 31*h**2. Give s(0). 26 Let u be 2/3 - (-112)/12. Let l be (-4)/u - 54/(-10). Let f(b) = -3*b + 7. What is f(l)? -8 Let l = 3 + 2. Let r(y) = y**2 - 8*y + 12. Let t be r(l). Let p(k) = k**3 + 2*k**2 - 4*k. What is p(t)? 3 Suppose 4*r = -r - 15. Let q(g) = g**3 - g**2 - g - 1. Let b(f) = 3*f**3 - 7*f**2 - 6*f - 5. Let y(z) = -b(z) + 4*q(z). Give y(r). -5 Suppose -2*w = -6*w + 20. Let u = w - 7. Let c(o) = -2*o**2 - 2*o - 1. What is c(u)? -5 Let i(t) = t + 1. Let c(w) = w. Let q(h) = -3*c(h) - i(h). Let y(x) be the first derivative of -x**2 + x - 1. Let k be y(1). Give q(k). 3 Let j(o) = o**2 + 4*o - 5. Let g = 3 - 1. Suppose -11 = g*w + 1. What is j(w)? 7 Let t(a) = a + 2. Suppose n - 4*n = -75. Suppose -2*h - 10 = -4*y - 30, 4*h + n = -5*y. Determine t(h). 2 Let q(a) be the second derivative of a**4/12 + a**3/6 - a**2/2 - 4*a. Let l(r) = -r**3 + 7*r**2 - 7*r + 7. Let w be l(6). What is q(w)? 1 Let k(b) = -b + 3. Let w be (-56)/(-12) - 4/6. Suppose -2*g + 67 = 5*v, 5*g - 45 - 12 = -w*v. Suppose -2*t - 9 = 3*d + 2, 0 = 4*d + t + v. Give k(d). 6 Let t(z) be the third derivative of z**5/60 + z**3/6 - 24*z**2. Determine t(-2). 5 Let b(q) = -q**3 + 7*q**2 - 16 + 6 + 1. Give b(7). -9 Let i(v) = v**2 - v - 3. Let h be i(3). Let r(p) = 2*p**2 + 2 + 2 + 2 - h*p**2 + 6*p. Calculate r(5). 11 Let o be 10/(-2)*(-3)/3. Let u(v) = -v**3 + 4*v**2 + 5*v - 1. Determine u(o). -1 Let t be (5/3)/((-1)/3). Let m(b) be the second derivative of b**6/720 + b**5/120 - b**4/6 - 2*b. Let c(f) be the third derivative of m(f). What is c(t)? -4 Let z(m) be the first derivative of m**3/3 - 3*m**2/2 + 12. Calculate z(5). 10 Let i be ((-15)/12)/(-2*3/(-24)). Let t(a) = -a - 2. Give t(i). 3 Let t(m) = 2*m + 3. Let o(r) = r**2 - r - 5. Let k be o(0). Determine t(k). -7 Let l(r) be the first derivative of -1/3*r**3 - 1/2*r**2 + 3/2*r**4 - 2 - r. Suppose 5 = -7*d + 2*d. Determine l(d). -7 Let n(b) = -3*b + 2*b - 2*b + 4 + b. Determine n(4). -4 Let w be (-21)/(-9) + 2/3. Let v(y) = -y**3 - 2*y + 4*y**3 + 2 + 3*y**2 - 4*y**3 + 0*y**w. Determine v(2). 2 Suppose -2*p = p - 18. Let y(h) = -h**3 + 2*h**3 - p*h**2 + 0*h**3 - 6 + 9*h - 2*h. Determine y(5). 4 Suppose -f + 3*v + 6 = -3, f + 4*v = -19. Let k(t) = t**2 + t - 1. Determine k(f). 5 Suppose 6 = 5*s + 1. Let c(v) = 23*v**2 - 6*v + 14. Let x(g) = 8*g**2 - 2*g + 5. Let d(m) = -4*c(m) + 11*x(m). Calculate d(s). -3 Let k(r) = r**2 - 5*r + 3. Let n(u) = -5*u**2 + 20*u - 13. Let s(h) = 9*k(h) + 2*n(h). Determine s(-5). 1 Let k(a) be the first derivative of -a**4/4 - 2*a**3 + 6*a + 3. Let m be k(-6). Let t(l) = l. Determine t(m). 6 Let l(k) = k - 3. Let x be l(0). Let s(t) = -3*t - 132*t**2 + 65*t**2 + 66*t**2 - 3. Calculate s(x). -3 Let y(p) = -14*p**2 - 1. Let b(q) = -q + 6. Let f be b(5). What is y(f)? -15 Let m(u) = 5*u**3 - 2*u**2 + 2*u - 1. Let g be m(1). Let a be 4/(-2) + g + -1. Let b(i) = -i**2 + 5*i**3 - 4*i + 3*i + a + 0. Determine b(1). 4 Let o(j) = -j + 4 + 1 + 2*j. Let h(a) = -a**3 - 9*a**2 + 2*a**3 + 3 + 0 + a - 2*a**3. Let z be h(
{ "pile_set_name": "DM Mathematics" }
uppose -3*r - 51 = 3*l, -6*r - 40 = -r - b*l. Let k be -2 - r - 1 - 0. Solve s = -2*s + k for s. 3 Let d(b) = b**3 - 7*b**2 - 9*b + 11. Let j be d(8). Suppose 0 = -4*c + 4. Solve s = c - j for s. -2 Let n = -4 - -4. Let b = 2 + n. Suppose 5*s - 3*c + 2*c - 28 = 0, -b*s + 2*c = -16. Solve -s*y = -y - 12 for y. 3 Suppose 0 = 4*t + 2*d - d + 12, d + 8 = -3*t. Let s(w) = w + 7. Let j be s(t). Solve j*o + o = -8 for o. -2 Let f(l) = l**2 + 7*l - 9. Let r be f(-10). Let c = -18 + r. Solve c*v = -3 + 18 for v. 5 Let u(t) be the first derivative of -t**4/4 + 2*t**3 + 3*t**2/2 - 15*t - 8. Let d be u(6). Solve 8 = -s + d*s for s. 4 Let q(b) = b**2 - 4*b + 3. Suppose 0 = t + 4*c - 4, 2*t - 30 = 2*c - 12. Suppose -3*w = -t*w + 15. Let s be q(w). Solve 2*m + s*m = 4 for m. 2 Let p(z) = -z**3 + 4*z**2 - z + 1. Let r be p(3). Suppose -4*k = -r - 29. Solve k = s + 2*s for s. 3 Let u be -2 + 3 + 24/3. Let c be ((-3)/(-2))/(u/120). Solve 4*j = 8*j - c for j. 5 Suppose b = -2*b - 9. Let t be -2 - (2 + b + -7). Solve t*i - 4 = 8*i for i. -2 Suppose 0 = -3*x - 0*x - j + 13, 10 = 3*x - 2*j. Suppose x*v = r + 16, 2*v = 2*r + 2*r + 22. Solve -d - 8 = v*d for d. -2 Let h(y) = 10*y - 48. Let p be h(5). Solve 5*c = p*c + 3 for c. 1 Suppose 2*m = a - 4 - 9, 4*m + 16 = 0. Let u be (14/5)/(1/a). Solve -u = -4*n - 2 for n. 3 Let q be (-14 + 8)/(2/(-1)). Suppose -2*v - 4*y = -4*v + 8, q*y - 12 = -3*v. Solve 0 = -2*m - v + 2 for m. -1 Suppose -2*o = -o + 3. Let k = o - -3. Solve k = q - 2 for q. 2 Suppose -m - m = -38. Let x = m + -10. Let q be -2*(x/6)/(-1). Solve -q*s - 16 = -7*s for s. 4 Let y(q) = q**2 + 11*q + 12. Let k be y(-10). Let d be (-2)/(-7) - (-10)/14. Solve -d = k*v + 5 for v. -3 Suppose 8*t - 3*t + s - 14 = 0, -4*t + s = -13. Solve -7*q + t*q = 4 for q. -1 Suppose 1 = x, 4*x = 5*p - 9 + 3. Suppose 3*m - 23 = -p*w, w - 36 = -5*m - 0. Suppose z + 4*b + 15 = 0, -3*z + m = -0*z - b. Solve 2*f - 3 - z = 0 for f. 2 Let p = -92 - -92. Solve -h + 4 = -p for h. 4 Suppose -4*o + 12 = 0, 19 = 5*q + 6*o - 3*o. Let z = 5 - q. Let l(x) = -x**3 + 18*x**2 + 17*x + 38. Let s be l(19). Solve 4*c - z*c - 4 = s for c. 4 Suppose -8*j + 12*j - 8 = 0. Solve 0 = -j*i + 3*i - 3 for i. 3 Let l(r) = r**2 - 11*r + 2. Let h be l(11). Solve b + h = -b for b. -1 Let b(w) = 2*w**2 - 2*w - 1. Let a be b(2). Let d = 27 + -19. Solve q + d = a*q for q. 4 Suppose p = -4*k + 4, -4*p - 3*k - 1 = -4. Solve 3*c + p*c = 0 for c. 0 Suppose -4*h + 0*t = -5*t - 25, -3*h = 2*t + 10. Solve h*q - 5*q + 20 = 0 for q. 4 Suppose 4*j - 21 = -5. Solve -5*q - j = -24 for q. 4 Let z(g) = -g**2 - 5*g - 2. Let u be z(-4). Let d be 1/u*(10 + 2). Solve 0 = -k - k + d for k. 3 Let r = -6 + 10. Let l(v) = v**3 - 5*v**2 + 3*v + 4. Let c be l(r). Solve c*i = -5*i for i. 0 Suppose 3*f = 3 + 24. Suppose -t = -3*d - 25 + 3, 0 = -2*d + 4*t + 2. Let v be d/(6 + -3) - -8. Solve -v*l = f - 4 for l. -1 Let u be (-2)/(-1) + (-3 - -4). Suppose 3*a - u*d + 3 = 0, -2*d = 3*a - 0*a - 12. Solve -c + 3 = -a for c. 5 Let w be (-4)/(-3) - (-204)/(-18). Let b = -8 - w. Solve -2*t = b*t for t. 0 Let k = -1 + 0. Let d = k - -2. Solve d = 4*t - 3 for t. 1 Let c(z) = z - 4. Let f be c(-7). Let g = 16 + f. Solve 5 = g*u + 15 for u. -2 Let z be (18 + (-4 - 0))/2 + -3. Solve -3*s = -2*s + z for s. -4 Suppose 3*r + 0 = -12. Let i = 7 + r. Solve -i*h + 2 = -4 for h. 2 Let n be -8*(-2)/7 + 6/(-21). Solve u = -n*u - 6 for u. -2 Let p(l) = l**2 + l + 1. Let z be -4 - 0/(2 + 1). Let a be p(z). Suppose a = 4*m + 1. Solve 0 = -2*q + m - 9 for q. -3 Suppose 0 = -2*l - 4*p - 12, 2*l - 2*p = l + 6. Let b(v) = -v**3 + 6*v**2 + 2*v - 8. Let w be b(6). Suppose -w*r + 8 = -0. Solve r*d + 2*d + 20 = l for d. -5 Let r(g) = 3*g + 17. Let c(y) = -y**3 - 5*y**2 + 6*y - 5. Let u be c(-6). Let k be r(u). Solve 4 + k = -2*i for i. -3 Let t(r) = 7*r - 4. Let n be t(3). Let o(p) = p**2 - 16*p - 10. Let h be o(n). Solve -3*x = -h*x for x. 0 Let z(k) = k**3 + 11*k**2 + k + 8. Let i be z(-11). Let l be -2*((-2)/(-4) + i). Solve c = l*c - 16 for c. 4 Suppose -6*h + 10*h - 8 = 0. Solve 3*m + 13 = -h for m. -5 Let x(f) = -f**3 + f**2 + 2*f + 1. Let i be x(3). Let q = i - -16. Solve -3*z + q = 2*z for z. 1 Suppose 2*b = 7*b - 25. Suppose 8 = b*a - 12. Suppose 0 = -5*t + 3*t + a. Solve z = t*z for z. 0 Let o = 6 + -2. Let q = o - 1. Solve -8*m - 20 = -q*m for m. -4 Let y = -216 + 218. Suppose -5*f + 68 = -57. Solve -3*j - y*j + f = 0 for j. 5 Let p = -129 - -134. Solve 11 = p*b - 9 for b. 4 Suppose 3*i = i + 6. Solve -i*r = r - 12 for r. 3 Let t be (-12)/8 - (-6)/(-4). Let p be 5*(51/15 + t). Solve p*u + 0*u = 0 for u. 0 Suppose -5*x + 0*x + 5*u = -85, 3*u + 29 = 2*x. Solve 5*m = x - 7 for m. 3 Suppose 2*c - 3*u - 9 = 1, -2*c - u + 10 = 0. Let j = -2 + c. Solve j*o + o - 20 = 0 for o. 5 Suppose -2 = 5*w - z, 2*w - 4*z + 8 = -w. Suppose w = -x, 2*k + 40 = -3*k - x. Let l = -5 - k. Solve l*r = 5 - 17 for r. -4 Let v be 29/6 + 2/12. Suppose -7*i = -v*i. Solve i = 2*f - f - 3 for f. 3 Let z = 4 - 2. Let y be 6*2*4/12. Suppose i - z*i + y = 0. Solve -i = 3*k + 8 for k. -4 Let f(d) be the first derivative of -4*d**2 + d + 2. Let m be f(-2). Let k = m - 9. Solve -6*o = -4*o - k for o. 4 Let c(f) = -f**2 + f + 40. Let s be c(0). Let l be (-1)/(3 + s/(-12)). Solve -l*k + 15 = -8*k for k. -3 Let l(p) = -p**2 - 11*p - 9. Let x be l(-10). Let z be (x - 1)/((-8)/8). Solve -d + z + 2 = 0 for d. 2 Let u(p) = -p**3 + 4*p**2 - 2*p - 2. Let m be u(2). Suppose -2*x - 7*b + 2 = -2*b, x + m*b = 2. Let v = x + -3. Solve 0 = -d - v*d - 4 for d. -1 Suppose -5*a = -5*s - 20, 4*s - s + 12 = 2*a. Let p be ((-7)/9 - -1) + 80/45. Solve a = 2*t + p - 10 for t. 4 Let u be 2/5 - (21/15 - 4). Solve -u*q = -0*q + 3 for q. -1 Suppose -3*t + 9 = 3. Let f be 16/t*(-2)/(-4). Suppose 4*l + 39 = m, 0 = -f*m + 2*l - 5*l + 137. Solve m - 10 = 5*w for w. 5 Let j(l) = l**3 - 6*l**2 + 13*l - 14. Let s be j(4). Solve s*n = 11*n - 5 for n. 1 Suppose 0 = 6*y - 7*y + 7. Solve 8 = 5*u - y for u. 3 Suppose 6*r - 3 = 5*r. Solve r*s - 3 = -0*s for s. 1 Let g be (-2)/4 - 1/(-2). Solve 6 = -3*b - g for b. -2 Let t be 57/9 + (-2)/6. Suppose -3*l = 6, 10 = -p - t*l + l. Solve o + p*o = 4 for o. 4 Let u(y) = y - 3. Let p be u(8). Let v(t) = 5*t**3 + t**2 + t - 1. Let m be v(1). Let z be (32/m)/(p/15). Solve -5*r + r = z for r. -4 Let p(x) = -x**2 - 9*x - 14. Let g be p(-7). Solve 0 = -g*l - 6*l for l. 0 Suppose -t + 5*t = i - 20, 0 = -5*i + 2*t + 10. Solve -5*n - 10 - 5 = i for n. -3 Let x(u) = u**3 + 4*u**2 - 2*u - 5. Let o be x(-4). Let y be (-2)/8 + (-3)/4. Let m be o - 0*(0 + y). Solve m*z = 5 + 1 for z. 2 Suppose -3*c + 4 = -5, 4*c - 15 = -d. Solve 0*j + 6 = d*j for j. 2 Let i = 17 + -11. Solve s - i*s = 0 for s. 0 Suppose -4*q - 2*g + 62 = 0, -g - 8 = -q + g. Solve -2 = 4*o - q for o. 3 Let g(l) = 2*l**3 - 4*l**2 + 2*l + 2. Let c be g(2). Solve -5*m = -c*m - 5 for m. -5 Let q = -8 - -7. Suppose 4*u - 8 = 4*b, 5*b = -5*u + 7*u - 16. Let o be q*(u + 2)/3. Solve o = -3*c + 2*c - 3 for c. -3 Suppose 0 = -3*x - 0*z - 4*z + 65, -85 = -5*x - 2*z. Suppose 2*a = -3*a + x. Solve -3*g + a = -2*g for g. 3 Let s = -38 - -38. Solve s*j = 2*j for j. 0 Let v(w) = 2*w - 7. Let i be v(5). Solve -i = -2*x + 1 for x. 2 Suppose -t = -i + 5*i + 12, -3*i = 2*t + 4. Let z be i/(-10) + 76/10. Suppose o = 3*o - z. Solve o*p - 3*p = 2 for p. 2 Let z(a) = -1 - a**3 + a - 2 - 2*a**2 + 0*a**3. Let p be z(-3). Suppose -p*i + 0*t = -2*t - 30, -t = -5*i + 57. Solve i = -5*q + 2 for q. -2 Let i be (-6)/(-24) + (-59)/(-4). Let q = 30 - 26. Solve -q*f - i = -9*f for f. 3 Let t(b) = -b - 12. Let p(y) = -y - 11. Let j(f) = 5*p(f) - 4*t(f). Let i be j(-9). Suppose 3*s + 2 = 2*q, 2*q - 3*s + i = q. Solve -4 = q*g - 0*g for g. -1 Let w = 10 + -8. Suppose -w*f + 2*z + 16 = 0, 0*z - 16 = 4*z. Let m = -22 + 37. Solve -f*y + m = -y for y. 5 Let a = 5 - -5. Solve -a = -h - h for h. 5 Let h be -7 - (-88)/(3 + 5). Suppose 4*z - 5*q + 5 = -0*z, 2*z = q - 1. Solve -h*u + u = z for u. 0 Suppose 5*i - 201 - 69 = 0. Suppose 2*g + 2*g - i = -5*o, 4*o - g = 39. Solve 0*p + o = -2*p for p. -5 Let z be 52/6*3/2. Let q = z + -4. Suppose 3*d = -3 + q. Solve 2*k = d - 0 for k. 1 Let c(q) = -q**3 + 2*q**2 + 3*q - 3. Let v be c(2). Let j(p) = p - 1. Let l be j(v). Suppose 2*t = -l*t +
{ "pile_set_name": "DM Mathematics" }
/9 + h. What is the second biggest value in t, 3, 5/2? 5/2 Let i(q) = 2*q - 2 + q**2 - 3*q**2 + q**2 - 1 + 7*q**3 - q**2. Let k be i(1). Which is the smallest value? (a) k (b) -1/6 (c) -1/2 (d) 0 c Let y = -0.19 - -0.12. Let w = y + -0.33. Let p = -1979/7932 - 1/1983. Which is the second biggest value? (a) p (b) w (c) -2 b Let z = -19214 - -19214.1. What is the fourth smallest value in z, 1/3, -3, -960, -2? z Let u = -4177 - -4177.62. Which is the fourth biggest value? (a) u (b) 7/3 (c) 3 (d) 0.5 d Let y = 102 - 7. Let n = -95.2 + y. Suppose -24 = -3*g + 2*v, 4 = -g + v + 13. What is the third smallest value in g, -5, n? g Let k be 64/10 - 12/30. Suppose -1419*o = -1421*o. Which is the third smallest value? (a) o (b) k (c) 3/4 b Let p = -10470 - -10475. What is the biggest value in -3, 0.5, p, -8/11? p Let o(y) = 2*y**3 + 7*y**2 + 103*y + 298. Let s be o(-3). Let x = 1 + -0.98. Which is the biggest value? (a) x (b) -0.1 (c) 6 (d) s c Let n = 3 + 0. Let g = 11977 + -11960. Which is the fourth biggest value? (a) n (b) 2 (c) g (d) -1/3 d Let x = 0.45 + -0.05. Let w = -0.3 + -0.1. Let j = -11047.04 - -11047. Which is the third smallest value? (a) j (b) w (c) x (d) 3 c Let w = 5.054 + -0.054. Which is the second biggest value? (a) -2/5 (b) -1.57 (c) -4 (d) 1/2 (e) w d Let l = 4.3 - 4. Let p = 6 - 5.9. Let u(n) = 66*n - 722. Let j be u(11). Which is the second smallest value? (a) j (b) p (c) -2/15 (d) l b Let r = -133472/5 - -26694. Let w be 9/(-2) + (-2)/(-4). Which is the biggest value? (a) -5 (b) w (c) 0.3 (d) r c Let v(k) = -k + 14. Let u be v(0). Suppose -h = -4*o - 18 - u, 28 = h - 3*o. Suppose -72 = -h*n + 4*n. What is the third smallest value in 0.1, n, -5? n Let j = 174 + -174.185. Let i = j + 0.165. What is the second biggest value in 4, -0.3, i? i Let b = -835.1 + 834.7. What is the fourth biggest value in -8, 3, b, -5? -8 Let f(x) = x**3 - 4*x**2. Let a be f(4). Let s = 0.03 - 9.03. Suppose -5*g = -g - 8. What is the second smallest value in s, a, g? a Let r = -254 - -258. Suppose 106*l + r*o = 102*l + 28, 5*l + o - 15 = 0. Which is the third smallest value? (a) l (b) -166 (c) 1 a Let j = -0.26 + -3.34. Let g = j + 7.8. Let b = 4.6 - g. What is the second biggest value in b, -5, 3/5? b Let k(w) = -w**3 + 79*w**2 - 80*w + 157. Let j be k(78). Which is the fifth biggest value? (a) -4 (b) 3 (c) -1 (d) -0.05 (e) j a Let w = -639 - -7667/12. Let r be 3*1*(-9)/(-81). Which is the third biggest value? (a) r (b) -5 (c) 1 (d) w d Let v = 250 - 269. Let i = 561.1 - 561. Which is the third biggest value? (a) 1/4 (b) i (c) v (d) 4 b Let m = -19/39 - -5528/11427. Let j = m + -285/2344. What is the smallest value in -0.01, j, -2? -2 Let q(k) = -k**2 + k + 2. Let x be q(-2). Let r be (1/(-7)*-7)/(-5 + (-4664)/(-912)). Which is the second biggest value? (a) r (b) x (c) -5 b Suppose -2*d - 8*d = -141 - 159. What is the fifth smallest value in d, -5, -0.5, 2/9, -0.3? d Let x = 0.233 + -0.133. Let f be 0 - (66/4)/11. Which is the second smallest value? (a) f (b) 2/9 (c) x (d) -1/3 d Let s = 6852 + -6844. Which is the third biggest value? (a) 4/17 (b) s (c) 5 a Let n be (-26)/39*27/294. Let m = n - -55/98. Which is the third biggest value? (a) m (b) 0 (c) -2/3 c Let u = 6/7 - 43/42. Let l = -118/37 - -125/74. What is the third smallest value in u, 0.5, -2/13, l? -2/13 Let k = -1.85 + 2. Let l = -56.8 - -56.8. Which is the biggest value? (a) -0.2 (b) k (c) l b Let u = -1148 - -10330/9. Let n be 0 - 4/(-24)*3. Which is the second biggest value? (a) 3 (b) n (c) 4 (d) u a Let n = -165 - -1156/7. Suppose 2*u - 3*x = -x, 0 = -3*u - 4*x + 7. Suppose -4*v + u = -2*l - 1, -5*l + 5*v = 0. What is the smallest value in -1/9, n, 0, l? -1/9 Let i = 3173.95 - 3174. Which is the smallest value? (a) i (b) 91 (c) -3/2 c Suppose 2*s - 3 = 5*p + 26, 21 = 3*s - 3*p. Let y = -137928 - -137976. Which is the second smallest value? (a) y (b) 1 (c) s c Let a = 183260/69 - 2656. What is the biggest value in -2/7, 1/2, a, 1? 1 Let g be ((-19)/10 + 2)/(124/(-10) + 13). Let x be (1 - -4) + 0/1. Which is the biggest value? (a) g (b) 6/11 (c) x c Let g = -0.016 + -0.084. Let i = 1.5 + -1.5. Let l = 2 - i. What is the fourth smallest value in l, -0.3, 0.5, g? l Let i = -468.47 + 473. Let d = 4.33 - i. Which is the third biggest value? (a) 3 (b) d (c) 2/15 b Let g = 0.2 - 0.2. Suppose -40*m = -4*p - 36*m - 36, -p = -5*m + 29. Which is the second smallest value? (a) 10 (b) 9 (c) g (d) p c Suppose 0 = 4*f - 4 - 20. Let s be (-35612)/38682 + 16/14. What is the second smallest value in f, s, -3? s Let o be 6/10*(-6)/9. Let q = 188284 + -188283.9. Which is the third biggest value? (a) q (b) 2/3 (c) o c Let b = 354 - -843. Let x = b + -1197.1. Let w = -0.1 + 0.1. What is the smallest value in 3, -1, x, w? -1 Let u be (2/(-3))/((-1098)/54 - -23). What is the fourth biggest value in -2/23, -0.2, 3/7, u? u Let z = 53/3 - 52/3. Let l(h) = 3*h**3 - 160*h**2 - 111*h + 160. Let k be l(54). Which is the third biggest value? (a) -11 (b) k (c) -3 (d) z c Let v be (2/(-48 - -4))/(((-171)/4)/(-9)). Which is the fourth smallest value? (a) 0.4 (b) 2 (c) 0 (d) v (e) -0.1 a Let u be (77/(-3) + 1)*3. Let h(j) = -j**2 + 31*j + 358. Let g be h(-9). Let y = -2.93 - -2.53. Which is the biggest value? (a) 1 (b) y (c) u (d) g a Let x = -0.0459 + 0.0359. Let w = 2108/9 - 234. What is the third biggest value in -18, w, x? -18 Let s = -0.058 - 0.942. Let q = 0.08 - 3.08. Let f = s + q. Which is the second smallest value? (a) f (b) -2/5 (c) -1/4 b Suppose 4*v = -18 + 54. Let z be (378/12)/v + 3/6. Let g = 0 - -0.1. Which is the smallest value? (a) g (b) z (c) 5 a Let t = -183 + 144. Let k = t - -116. What is the fourth smallest value in -0.2, 1, k, 3? k Let h = -0.0294 + 0.6294. Which is the second biggest value? (a) 5 (b) -2/11 (c) 3 (d) h c Let z be 33/(-22) + (-5805)/(-42). Let j = z + -137. What is the second smallest value in 7, j, 1/8? 1/8 Suppose 15*y - 39 = 2*y. Let b be (-714)/364 + y/2. What is the second smallest value in b, -4/7, 2/3? b Let q be ((-4)/(-10))/((-1)/5). Let n be (70/75)/(q/(-3)). Let w = -33.05 - -33.05. What is the biggest value in n, w, 3, -0.5? 3 Let g be (-6)/14 + (-320)/(-28). Let s(v) = -1 + 24 + 5 + 5 - 3*v. Let i be s(g). What is the second biggest value in 0.4, i, 0.06, 0.5? 0.4 Let g = 10 + -10.7. Let q = g - -0.3. Let i = -1308 - -1308.1. Which is the fourth biggest value? (a) q (b) i (c) -5 (d) 0.2 c Let n(s) = -s**2 - s - 5. Let k be n(0). Let o = -149.86 + 149. Let f = o + 0.76. Which is the smallest value? (a) f (b) 0.5 (c) k (d) 0.2 c Let m = 77 - 68. Suppose -l + 3*k - 11 = 0, l - m = -3*k - 2. What is the second smallest value in 0.4, -2/5, 9, l? -2/5 Let v = -34920 - -34919.6. Which is the second biggest value? (a) -6167 (b) v (c) 3 (d) 1 d Suppose g = -4*g - 2*w + 36, -5*g + 5*w + 50 = 0. Let c be 2 - 2/(g/7). Let p = 5271 - 5272. What is the second biggest value in p, 4, c? c Let m = 0.2 - 0.3. Let q = 307376 + -307375. Let h = 5.04 - 0.04. Which is the third smallest value? (a) m (b) q (c) h c Let s = -26 + 26.4. Let l = -12008/9 - -1334. Which is the third biggest value? (a) s (b) 0 (c) l (d) -1 c Let h = -112.03 - -146.03. Which is the second smallest value? (a) 2/9 (b) h (c) 0.3 (d) 0 (e) -2/3 d Suppose -3*u + 2 = 11. Let h = -205 + 208. Which is the second smallest value? (a) -0.01 (b) 0.5 (c) h (d) u a Let x = 670/3 - 2683/12. What is the second biggest value in -2/11, x, 1? -2/11 Let l = -141.773 + -0.227. Let q = -99 - l. Which is the fourth smallest value? (a) 1/5 (b) 2/9 (c) q (d) -1 c Let v be (-144)/(-384) - 405/(-8). Let h = v + -52. Which is the second biggest value? (a) -0.3 (b) -2/3 (c) h b Let t = 293 + -415. Let r = t - -124. Which is the second biggest value? (a) -2/11 (b) r (c) 0.9 c Let v = 1.2 + -7. Let f = -6 - v. Let u be ((-30)/(-350))/((-4)/(-20)). Which is the third biggest value? (a) f (b) 1 (c) u a Let v = -17845 + 17845. Which is the second smallest value? (a) -0.0009 (b) v (c) -5 (d) 4 a Let v = 2428.6 + -2429. Which is the fourth biggest value? (a) -43/8 (b) v (c) 1/3 (d) 0.4
{ "pile_set_name": "DM Mathematics" }
20*n**2 - 4 What is the second derivative of c**3*s**2 - 5*c**3 + 13*c**2*s**2 - 2*c**2 - 10*c + 29*s**2 wrt c? 6*c*s**2 - 30*c + 26*s**2 - 4 What is the third derivative of 34*b*h**3*z**3 + b*z**2 + 38*b + 94*h**3*z**3 + 2*h**3*z - 3*h*z**2 wrt z? 204*b*h**3 + 564*h**3 Find the third derivative of -6*d**4*i - 2*d**3*i**2*p + 3*d**3*p**2 - d**2*i**2*p**2 + 2*d**2*i**2 + d**2*p - 16*i**2 wrt d. -144*d*i - 12*i**2*p + 18*p**2 Find the third derivative of 35*v**5 - 2*v**4 - 27*v**2 - 3*v wrt v. 2100*v**2 - 48*v What is the second derivative of -589*r**3 - 3*r**2 + 1465*r - 1 wrt r? -3534*r - 6 What is the second derivative of -336*r**3 + 12*r - 14 wrt r? -2016*r What is the second derivative of 362*f**2*r - f*r + 28*f wrt f? 724*r Differentiate -c**2*g**3*x - c**2*g**3*z**2 + 6*c**2*g**3*z - 2*c**2*g**2*z + 10*c**2*g*x*z**2 - 2*c*g**3*z**2 wrt x. -c**2*g**3 + 10*c**2*g*z**2 Find the third derivative of -22*s**6 + s**4 + 1220*s**2. -2640*s**3 + 24*s Differentiate -306*f**2*s**2 - 6*f**2*s + 3762*f**2 with respect to s. -612*f**2*s - 6*f**2 Differentiate -102*m**3*n*t**2 - 59*m**3*t**2 + m**2*t**2 - 2*m*t**2 + 2*n*t**2 with respect to n. -102*m**3*t**2 + 2*t**2 What is the derivative of 92*m**2 + m + 114? 184*m + 1 What is the third derivative of 17*g*i**3*n*u - 2*g*i**3*n + 4*g*i*n + 2*g - i**3*u**3 - i**2*u**3 + i*u**3 + 1 wrt i? 102*g*n*u - 12*g*n - 6*u**3 What is the second derivative of -333*v**4 - 5*v**2 + 25837*v wrt v? -3996*v**2 - 10 What is the third derivative of 10631*z**3 + 2*z**2 - 2324? 63786 What is the second derivative of -3*n**3*o**3*v + 2*n**3*o*v**2 + n**3*v**2 - 154*n**2*o*v + 8*n**2 + 1169*o**5*v**2 wrt o? -18*n**3*o*v + 23380*o**3*v**2 Find the third derivative of 5*d**2*j**2*y**2 + 15*d**2*y**3 - 4*d*j**2*y**3 - 27*d*j**2 - 4*d*j*y**3 - d*y**2 wrt y. 90*d**2 - 24*d*j**2 - 24*d*j What is the second derivative of 915*y**4 - 3*y**2 - 2004*y - 2? 10980*y**2 - 6 Find the first derivative of 5140*p - 2329 wrt p. 5140 Find the second derivative of 6*l**4 + 6*l**3 - 2*l**2 - 6*l - 89. 72*l**2 + 36*l - 4 Find the second derivative of -2*l**5*w + 1778*l**3*w**3 + 2*l*w**3 + 8*l*w**2 + 141*l wrt l. -40*l**3*w + 10668*l*w**3 Differentiate 229*a - 160 with respect to a. 229 What is the first derivative of 21*c**2*f - 146*f wrt c? 42*c*f What is the third derivative of c**6*k + 4*c**5*k + 2*c**3*k - 2*c**2*k + 6*c*k wrt c? 120*c**3*k + 240*c**2*k + 12*k What is the second derivative of -63*o**2*r + 20*o*r + 4*r wrt o? -126*r What is the derivative of -20*c**2*i + 97*c**2 + 4*c*i**2 + i**2 wrt i? -20*c**2 + 8*c*i + 2*i Find the second derivative of -29*q**2*x**2 + q*x**2 - 94*x**2 wrt q. -58*x**2 What is the third derivative of -3868*w**3 - 2211*w**2 wrt w? -23208 What is the third derivative of -147*r**4 - r**2 - 17*r + 12? -3528*r What is the third derivative of 418*s**5 - 5*s**2 - 6*s? 25080*s**2 What is the first derivative of -39*g**3 - 9*g**2 + 510 wrt g? -117*g**2 - 18*g What is the second derivative of -230*y**2 + 37*y + 1? -460 What is the first derivative of s**2 - 150*s - 263 wrt s? 2*s - 150 Differentiate -5*c**3*j + 5753*c**3 - 51*c**2*j + c + j wrt j. -5*c**3 - 51*c**2 + 1 Find the third derivative of -6*i**4*r + 78*i**3*r + 3*i**2*r + 3*i*r wrt i. -144*i*r + 468*r Find the third derivative of -5*f**3*s - 197*f**3 - 36*f**2 - 37*f*s wrt f. -30*s - 1182 What is the second derivative of 3*k**3 + 370*k**2 - 234*k - 2 wrt k? 18*k + 740 Find the third derivative of -41*r**5 - 12*r**3 + 767*r**2 wrt r. -2460*r**2 - 72 Differentiate 12*d**4 + 44*d**3 + 385 with respect to d. 48*d**3 + 132*d**2 Find the first derivative of -112*c**4*k - 2*c*k + k - 291 wrt c. -448*c**3*k - 2*k What is the third derivative of 247*i*q**3 + 2*i*q**2 - 3*i - 3*q**3 + 113*q**2 wrt q? 1482*i - 18 Find the first derivative of 1268*v**2 - 908. 2536*v Differentiate 1932*a**2*u**2 - 40*u**2 - 3*u wrt a. 3864*a*u**2 Find the third derivative of -2*k*r**4*s - 2*k*r*s - 8*k*s - 1071*r**3*s - 21*r**2*s wrt r. -48*k*r*s - 6426*s What is the second derivative of -104*f**5 + 371*f? -2080*f**3 Differentiate -2*f**2*m*p**2 + 69*f**2*m*z + 2*f**2 - 2*f*p**2*z + 11*f*p**2 + 2*m*p + 2*z with respect to z. 69*f**2*m - 2*f*p**2 + 2 What is the second derivative of 22459*a**2*r**2 + 46*a**2 + 5*r + 1 wrt r? 44918*a**2 What is the third derivative of 2*h**2*q**3 + 66*h**2*q - 3*h**2 - 3986*h*q**3 + 7*h*q**2 - 2*q**3 - q**2 wrt q? 12*h**2 - 23916*h - 12 Differentiate -337*y + 387 wrt y. -337 Find the third derivative of 32*k**3*q**3 + 17*k**3*q**2*t + 4*k**2*q**2*t**2 - 48*q**3*t**3 + 3*q**2*t**2 + 13*q*t**3 wrt q. 192*k**3 - 288*t**3 What is the second derivative of -4655*l**2 + 3846*l? -9310 Find the second derivative of -10*x**4 + 17*x**3 + x - 156. -120*x**2 + 102*x What is the third derivative of -28*j**5 - 2*j**3*r**3 + 314*j**2*r**3 wrt j? -1680*j**2 - 12*r**3 Find the third derivative of a**3*p**2 - 16130*a**3*p + a**2*p**2 + 4*a**2 + 41*a*p**2 wrt a. 6*p**2 - 96780*p Differentiate 2*g**4 + 23*g*p**2 + 120*p**2 wrt g. 8*g**3 + 23*p**2 What is the second derivative of 7*q**3*w**2 - 2*q**3*w - 22851*q**3 + 3*q**2*w**4 + 9*w**2 wrt w? 14*q**3 + 36*q**2*w**2 + 18 Find the third derivative of -2223*y**4 + 16*y**2 - 43*y + 1 wrt y. -53352*y Find the third derivative of -68*g**3*l**3*n + 2*g**3*l**3 + 2*g**2*l**2*n - 2*g**2 - 2*g*l**3 - l**3 wrt g. -408*l**3*n + 12*l**3 Find the third derivative of 44*g**6 + 9*g**4 + g**3 + 1777*g**2. 5280*g**3 + 216*g + 6 Find the second derivative of -400*d**4 - 27*d. -4800*d**2 What is the second derivative of -417*a*j**2*m*s**3 + 20*a*j**2*m + 91*a*j*m*s**3 + 2*a*j*s**3 + 2*a*m - 16*j*m*s**3 wrt j? -834*a*m*s**3 + 40*a*m Find the third derivative of -2*t**5 + 3363*t**4 - t**3 - 10151*t**2 wrt t. -120*t**2 + 80712*t - 6 What is the third derivative of 48*b**3*c**3 - 757*b**3 + b**2*c**2 + 3*b*c**3 + 2*b*c - c**3 wrt c? 288*b**3 + 18*b - 6 What is the derivative of -72*k**2*q**2 - 153*k**2 + k*q**4 + k*q - 12*k + 6*q wrt q? -144*k**2*q + 4*k*q**3 + k + 6 What is the second derivative of -50*i*s*v**3 + 4*i*s*v + 57*i*s - i*v - 20*s*v**3 - s - v**5 wrt v? -300*i*s*v - 120*s*v - 20*v**3 Find the second derivative of 26*b**3 - 5*b**2 - b + 431. 156*b - 10 What is the first derivative of 4*n**3 - 19*n**2 + 96? 12*n**2 - 38*n What is the second derivative of -16382*t**2 - 14280*t wrt t? -32764 Find the second derivative of 10602*f**5 + 2378*f wrt f. 212040*f**3 Find the second derivative of -3*c**4 - 20*c**3 + 2*c**2 + c + 1172. -36*c**2 - 120*c + 4 Differentiate 4531*f*x + 2617*x wrt f. 4531*x What is the first derivative of 5283*t + 8227? 5283 Find the third derivative of 136*a*n**2*r**3 - 9*a*n*r**2 - a*r**3 + 2*a*r - n**2*r**3 + 2*n**2*r + 5*n*r**2 wrt r. 816*a*n**2 - 6*a - 6*n**2 What is the third derivative of -16*o**6 + 268*o**5 - 380*o**2 - 4*o wrt o? -1920*o**3 + 16080*o**2 What is the first derivative of -9515*q*s + 23*s - 40 wrt q? -9515*s What is the first derivative of -496*r**3 - 10*r - 4427? -1488*r**2 - 10 What is the third derivative of 1252*m**3 - 7*m**2 - 2*m - 19? 7512 What is the second derivative of -12*j*l*r**2 - 84*j*l*r + 2*j*l + j*r**2 + 2*j*r - 3*l*r**2 + 9*r**2 wrt r? -24*j*l + 2*j - 6*l + 18 Find the second derivative of -9622*d**5 - 1112*d + 3. -192440*d**3 Find the second derivative of -25*f**2*q**3 - 2*f**2*q - 3*f**2 + 6*f*q + 2*f - 40*q**3 + 3*q**2 wrt f. -50*q**3 - 4*q - 6 Differentiate j**2*v*x**3 - 13*j**2*v*x + 4*j**2*x**3 - 179*j**2*x + 7*j*v*x wrt v. j**2*x**3 - 13*j**2*x + 7*j*x Differentiate 553*w**3 + 2*w + 25 wrt w. 1659*w**2 + 2 What is the second derivative of 475*f**3*o**2 - 60*f**3 - 2*f*o wrt o? 950*f**3 Differentiate -609*h*s**2 - 1156*s**2 wrt h. -609*s**2 What is the second derivative of -177*i**4 + 5*i**3 - 117*i + 2 wrt i? -2124*i**2 + 30*i What is the third derivative of 2*l**3*m**2*z + 6*l**3*m*z + 6*l**3*z + 11*l**2*z + 3*l**2 + l*m*z - m**2*z wrt l? 12*m**2*z + 36*m*z + 36*z Differentiate -3*f**3*m + 42*f*m**2 - 81*m**2 + 5 wrt f. -9*f**2*m + 42*m**2 What is the second derivative of 2*f**4 + 2*f**3 - 14*f**2*v**2 - 42*f*v**2 - v**2 wrt f? 24*f**2 + 12*f - 28*v**2 Find the third derivative of -t**4 + 89*t**3 + 726*t**2. -24*t + 534 What is the second derivative of -12707*m**2*n**3 -
{ "pile_set_name": "DM Mathematics" }
j. Suppose -2*n + 4*n = p, 3*n - p = y. Solve -2*t = 4*b + 14, n + 9 = -t - 4*b for t. -3 Let g = -262 + 254. Let k be (-2 - g/6)/(4/(-24)). Solve 12 = -2*u + k*t - 2, u - 5 = -t for u. 1 Let r = 16 + -9. Suppose 5*h = 2*k + 6, -8 = 27*k - 26*k - 5*h. Solve y + k*z - r = 6*y, -2*y + z - 2 = 0 for y. -3 Suppose -i - 13*s + 12*s + 11 = 0, 1 = -i + 3*s. Solve -4*u + j = -3*j - i, -3*u = -j for u. -1 Let f = 88 - 63. Suppose 5*l + 2*a - 5 = -1, f = 5*l - 5*a. Suppose 3*v + 2*v = l*d + 36, 0 = 5*v + 3*d - 21. Solve -v = 2*s + 2*y, 3 = -5*s - 3*y + 2*y for s. 0 Let z(d) = 7*d + 57. Let i be z(-4). Let o = i - 24. Solve 5*l + 1 = -3*a - 1, -o*a - l = 18 for a. -4 Suppose -6005 + 245 = -12*z. Let i be (1/(-3))/((-80)/z). Solve 5*o - 6*o = -n + 8, -i*n = -8 for o. -4 Let u = 108016 + -107992. Suppose 3*y + 3 - 9 = 0. Solve y*b - u = -5*j, -2*b - 4 = -2*j - 0*j for b. 2 Let i = -18 - -21. Suppose 4*r - 4*g + 440 = 0, -i*r + 6*g - g = 334. Let a = -95 - r. Solve 0*c = -h - 4*c - 9, 0 = 3*h - 2*c + a for h. -5 Suppose -89*q + 93*q - 2 = -r, 2*r = -q + 4. Suppose 0 = r*s + o - 31, -4*o - 11 = -s - 3*o. Solve m - 6 = 5*x, -3*m + s = -7*m + x for m. -4 Suppose 0 = 7*c + 162 + 6. Let m = 6 - 41. Let f = c - m. Solve j - 3 = -x - 0*j, -3*x + 2*j = f for x. -1 Suppose 7*a + 156 = 11*a. Let v = 66 - a. Suppose -2*l - 3*o - 8 + 30 = 0, -3*l + v = 3*o. Solve l*m = 3*d - 24, 4*d + 2*m = -0*m + 6 for d. 3 Let h = 2954 - 2954. Solve -4*s - m = 15, h = 2*s + m + 9 for s. -3 Suppose 4*s = 2*r - 448, -3*s - 341 = -0*s + r. Let f = -75 - s. Suppose 3*c = -14 + f. Solve 0 = -3*d + w - c, -9 = 2*d - 5*w + 18 for d. -1 Let b be -14 + 10 + ((-10)/(-65) - 510/(-65)). Solve -n - 27 = 5*p, 5 = -b*p + 4*n - 7 for p. -5 Suppose 4*f = s + 14, -3*s + f - 7 + 9 = 0. Solve -4*q - 9 = -q - 5*h, -h = -s*q - 6 for q. -3 Suppose 4*v - 32 = 5*n, -5*v + 7*v - 5*n = 26. Solve 3*y + v*t = 21, 4*t + 5 = 5*y - 3 for y. 4 Let p(m) be the second derivative of -m**5/20 - 41*m**4/12 - 20*m**3/3 + 3*m**2/2 + 188*m. Let c be p(-40). Solve c*h = 3*n, 0 = h - 0*n + 2*n - 6 for h. 2 Let h(a) = a**3 - 8*a**2 + 7*a + 3. Suppose 5*r + 5*m - 10 - 35 = 0, 5*m - 17 = -r. Let d be h(r). Solve 2*t + 4*k = 8 + 10, -d*t + 12 = k for t. 3 Let j = 2577 - 2560. Solve -4*h + i + 26 = -i, -i + j = 4*h for h. 5 Let h be (2 - 7)*(-16)/(128/8). Solve -4*w = -8, -3*w - 65 = h*j - 61 for j. -2 Let x(q) = q**3 - 10*q**2 + 17*q + 4. Let u be x(7). Let p be u*2/8*(-2 - -7). Let y be (-10)/((p/(-5))/(-3)). Solve -5*n = -3*c + 7 + y, -c = 5*n - 4 for n. 0 Suppose -2*q - 4*r = 19 - 77, -4*r = -24. Solve -u = 3, 8*u - q = -2*s + 11*u for s. 4 Suppose -u - 15 = -4*d, -3*d + u = -d - 7. Let q be -5*3/3 + (-100 - -105). Solve 0*o - 10 = -d*t + 3*o, -o + 2 = q for t. 4 Let d = -9152 - -9156. Solve -d*m = 5*n + 8, 3 - 13 = 5*m for n. 0 Let a be 3/4 - (-4518)/(-8). Let k = a + 567. Solve t = k*l + 5, 4 = 5*l + 2*t + 5 for l. -1 Let b = -2 - -5. Let o(y) = 15*y - 86. Let i be 4/18 - (-364)/63. Let j be o(i). Solve -4*a = a - b*l - 12, -16 = -j*a - 4*l for a. 3 Let c(z) = z**3 - 21*z**2 + 19. Let d be c(21). Let f = -16 + d. Suppose 3*l = 2*p - 14, -f*l = -5*p + 4*p + 13. Solve -5*o + 5*h - 19 = p, -h = -2 for o. -2 Let h(a) = -55*a + 4. Let w be h(-1). Let r = w - 47. Solve r = -5*u + 3*x, 5*u = -2*x - 14 - 3 for u. -3 Suppose 0 = 271*g - 398 - 892 - 65. Solve -5*r - 5 = -g*t, 6*r + 4*t - 13 = 7*r for r. 3 Suppose 11*p = 12*p - 6*p + 15. Solve -5*d + v = 13 + 12, 3*d - p = -3*v for d. -4 Let r(f) = -189*f + 22117. Let d be r(117). Suppose 0 = 3*t + 4*c - 57, -c = 4*t - 24 - 52. Solve -4*n + 22 = -5*x - t, 0 = -d*x - 5*n for x. -5 Let r = 36720 + -36716. Solve r*p - 8 = 5*k, -5*k - 32*p - 2 = -33*p for k. 0 Let c = 2 - -13. Let f be (20/c)/((-2)/(-6)). Solve 1 = b - 3*v - 2, 0 = f*v for b. 3 Suppose -3283 = -3*u - 4*u. Let f = u - 459. Solve -3*o + 17 = 4*t, 3*o - 7*o + f = -t for o. 3 Let m = -1150 - -1155. Let k(l) = 2*l + 11. Let b be k(7). Let t = -21 + b. Solve 3 = -m*u - t*r, 2 = -2*r - 2 for u. 1 Let v be 0 - (4 + 8 + -16). Let a be (-1 + 6/v)/(35/70). Solve -3*f + a = -4*l, -3*f - 4 - 7 = -l for l. -4 Let x = -2121 - -2126. Solve -11 = -u - 5*v + 5, -x*v = 5*u for u. -4 Suppose 6*j - 694 = -574. Suppose 217*g - j = 213*g. Solve 4*z = -2*a - 2, -g*a + 0 = -3*z + 5 for z. 0 Suppose 106 = -16*c + 138. Solve -5*b = -10*b - c*p + 31, 3*b = 5*p for b. 5 Let d(u) = u**3 - 7*u**2 + 5*u + 20. Let i be d(6). Solve 5*h + 34 - 54 = 0, -m + i = 4*h for m. -2 Let b(v) be the first derivative of 2*v**2 - 28*v + 3. Let s be b(9). Solve -5*m = -4*f + s - 0, 3*m - 5*f = -10 for m. 0 Let k(p) = 0 + 0*p - 4*p + 5*p - 12. Let h = 13 + 2. Let y be k(h). Solve v + y*u - 19 = -2*u, 4*u - 20 = -2*v for v. 4 Let m(h) be the third derivative of h**5/60 + 13*h**4/6 - 110*h**3/3 - 218*h**2. Let s be m(4). Solve 0 = -s*f - 8, 7*f = a + 3*f - 8 for a. 0 Suppose 66*x - 913 = 44*x - 61*x. Solve -2*y - 5*b + b = 14, 3*y + b + x = 0 for y. -3 Let u be 4/((-7 - (-114)/14)/2). Solve -72*t = -71*t - 4*n + u, -11 = 3*t - 2*n for t. -3 Suppose -3*n = -2*x - 24, -3*x + 18 = 5*n - 41. Suppose -q = 5*y - n, 4*q + 4 = y + y. Solve -a = -q*p + p + 6, 16 = 4*a - 4*p for a. -1 Let j(q) = 7*q + 87. Let p be j(-10). Suppose 0 = 21*w - p*w - 16. Suppose 4*o = -2*n, -5*o = -10*o + 2*n. Solve 5*x - 3*z + 5 = o, 2*x - w*x + 12 = -4*z for x. -4 Suppose -5*n + 60 = 5*l, n = 25*l - 21*l - 23. Solve 7 = -2*y + 1, n*y + 7 = -2*x for x. 4 Suppose -77*i + 380 = -50*i + 49*i. Solve -4*r = 2*f - 14, -152*f - i*r = -148*f - 16 for f. -1 Suppose 0 = 3*w + 2*w + 30. Let y be 22/(-33) + (-76)/w. Solve x = 2*c - 8 + 2, -4*x = -4*c + y for c. 3 Let a(i) = -i**3 + 23*i**2 - 19*i - 9. Let v be a(22). Let w be (24/(-9))/((-38)/v). Solve 0*m - 2*m + 10 = b, w*m = -b + 18 for b. 2 Let a be 90/(-10) + ((-26)/(-14))/((-5)/280*-8). Suppose -4*b = -0*b - 16. Solve -2*c - b*s = -a, -4*s + 8 = -0*c + 3*c for c. 4 Let a(z) = -14*z**2 - 43*z - 1. Let k be a(-3). Solve 3*d - 29 = 4*l, -k*d + 15 = -l + 4 for d. 3 Suppose 0*b = -5*b. Let q(v) = -2*v**2 - 36*v + 54. Let u be q(-21). Let g be (u - -69)*10/(-6). Solve b = -2*s + p + 7, -27 = -5*s + g*p + 3 for s. 1 Suppose b - 6 = 42. Let o = b + -44. Solve o*i = 12, 0 = -s + 4*i - 2 - 11 for s. -1 Suppose 23*z = 20*z + 21. Suppose z*g = -4*g + 176. Suppose 7*c + g = 11*c. Solve 0*v = c*v + 3*k + 28, 2*v = -k - 12 for v. -4 Suppose 369 = 3*l + 357. Suppose 4*i - 12 = 0, l*i = y + 14 - 9. Solve 0 = -2*b - 2*v + y*v - 12, -v - 8 = -3*b for b. 4 Suppose 0*x - 18 = -x. Let k(l) = 94*l + 942. Let g be k(-10). Solve -y = -5*f - 2 - x, -5*y + 31 = -g*f for y. 5 Let x be (-64)/(-448) - (-34)/7. Solve 11*k - 11 = 10*k + 2*l, x*l + 20 = k for k. 5 Suppose j - 2*k + 2 = 10, 0 = -3*k + 3. Let a be -3*(-3)/18*j. Suppose 0 = u - a + 1. Solve -5*r - u*g - 12 = -r, 4*g - 9 = 3*r for r. -3 Let o(g) = -2*g**2 - 20*g + 4*g - 7*g - g**2 + 12. Let i be o(-8). Solve 5*h - 3*b = 2*b - 15, -i*b = h - 7 for h. -1 Suppose 233*v = 288*v - 1320. Solve -4*m - 12 = o, -2*m = -16*o + 21*o + v for o. -4 Let f(g) = g**3 + 28*g**2 + 83*g + 1514. Let y be f(-27). Solve y*s = r - 11, -5*r - 7*s = -9*s - 7 for r. -1 Let l(k) = 4*k**3 - 4*k**2 + 2*k + 1. Let b be l(1). Suppose n - y = 4, -6*n = -2*n + b*y - 23. Solve n*c - 5*i = -0*i - 5, -28 = -2*c - 4*i for c. 4 Suppose 2*p = -3*c + 48, -2*c + 5*p + 27 + 5 = 0. Suppose -38 = -11*r - c. Solve r*w - q = 6, w = 4*w - 3*q - 9 for w. 3 Let q(o) be the second derivative of 35*o**4/12 - 6*o**3 + o**2/2 - 203*o. Let v be q(1). Solve 3*i = -p - 10, -i = -4*p - v*i + 12 for p. 2 Suppose 5 + 2 = t. Let j(r) = -r**3 + 16*r**2 - 21*r + 20. Let k be j(14). Suppose y + k = 136. Solve 0 = h - 2*a + 5, 5*h + t + y = -a for h. -5 Suppose 503 + 77 = 2*p. Let a = p + -287. Solve -4*c - 12 = o + a*o, 4*o + c = -6 for o. -1 Let z be -1 - ((-3 - 3/4) + 6/8). Solve 5*a + 41 = -4*m, -z*m - 13*a = -8*a + 33 for m. -4 Suppose 82*m + 96 = 94*m. Let k be (-2 + m + -6)/3. Solve 5*x = -2*r - 23, -4*x + k*x = -3*r + 23 for x. -5 Suppose -3*z + 4*z - 4 = 0. Let l be (42/49)/(2/(-42)). Let j be 2/l*2 - 12/(-54). Solve z*d = -6*n + 2*n + 16, -n = j for d. 4 Let x(j) = j**2 + j + 7. Let c be x(-3). Let o(i) = i**2 - 12*i - 9. Let a be o(c). Let t be 20/8 + 2/(-4). Solve 5*k - 2*u
{ "pile_set_name": "DM Mathematics" }
4. Let a(d) = 2*h(d) + 5*u(d). Let t(x) = -65*x**2. Determine t(a(l)). -65*l**2 Let f(s) = -s. Let i(z) = -z**2 - 4*z + 7. Suppose 4*t = 16 - 36. Let g be i(t). Let a(q) = -5*q**2 - 2*q**g + 2*q**2. What is a(f(y))? -5*y**2 Let q(j) = -j**2. Let v(x) be the first derivative of -9*x**2/2 + 908*x - 6707. What is q(v(m))? -81*m**2 + 16344*m - 824464 Let f(q) = 82*q**2 - 69*q**2 - 8 + 8. Let m(g) = 9*g + 2. What is m(f(a))? 117*a**2 + 2 Let z(b) = -b + 3 - 3. Let f(n) = -n**2 - 152*n + 5. Let c(x) = -7*x**2 + 608*x - 20. Let l(i) = c(i) + 4*f(i). Calculate z(l(s)). 11*s**2 Let y(i) be the third derivative of -19*i**5/30 + 33364*i**2. Let w(x) = -11*x. Let v(c) = -2*c. Let k(a) = -34*v(a) + 6*w(a). Calculate k(y(j)). -76*j**2 Let s(d) = -220605407*d. Let y(x) = x**2. Calculate y(s(j)). 48666745597635649*j**2 Let l(b) = b**2. Let m(n) be the first derivative of 9*n**2 - 98*n - 1440. Determine m(l(w)). 18*w**2 - 98 Let b(f) = -53*f - 1. Let g(x) = 4*x**2 - 2*x - 6446. Give b(g(s)). -212*s**2 + 106*s + 341637 Let d be (-2)/4 + (1 - 18/(-12)). Let o(j) = -5 + d*j + 5. Let r(y) = 3*y**2 + 10*y**2 + 7*y**2 - 7*y**2. Calculate o(r(p)). 26*p**2 Let o(l) = 95*l**2. Let k(z) = z + 27. Let i(x) = -10*x - 185. Let j(p) = -2*i(p) - 14*k(p). Give j(o(s)). 570*s**2 - 8 Let r(v) = -58*v + 3. Let l(t) = 214*t - 11. Let b(o) = -3*l(o) - 11*r(o). Let d(a) be the second derivative of 2*a + 0*a**2 + 0 + 7/6*a**3. What is b(d(j))? -28*j Let d(x) = 17*x. Let w(a) be the second derivative of 0*a**2 + 5/12*a**4 + 192*a + 0 + 0*a**3. Give d(w(h)). 85*h**2 Let m(i) = -16*i**2 - 7*i. Suppose -70 = -5*z - 5*q, -q = -5*z + q + 42. Let l(s) = -z*s + 17*s + s - 6*s. Give m(l(f)). -64*f**2 - 14*f Let p(v) be the third derivative of 0*v + 0 + 0*v**3 + 0*v**4 - 148*v**2 - 2/5*v**5. Let w(h) = -5*h**2. Calculate w(p(c)). -2880*c**4 Let u(x) = 1607*x - 553*x + 334*x. Let p(f) = -4*f**2. What is u(p(s))? -5552*s**2 Let p(f) = -1603*f. Let w(q) be the second derivative of q**4/12 + 1449*q. What is p(w(n))? -1603*n**2 Let m(r) be the second derivative of r**4/3 - r**3/3 + 10*r**2 + 74*r. Let h(p) = 2*p. What is m(h(o))? 16*o**2 - 4*o + 20 Let f(n) = -6*n. Suppose -25*o - 4 = -54. Let m(z) = -4*z**o - 12*z**2 + 4*z**2. What is m(f(u))? -432*u**2 Let j(o) = 68*o**3 + 5*o**2 - 13*o + 17. Let w be j(3). Let y(t) = -3*t + 1859 - w. Let x(m) = -149*m. Determine x(y(a)). 447*a Let d(q) = 5451783*q**2. Let b(a) = -3*a. What is b(d(j))? -16355349*j**2 Let z(g) = -g**2 - 17*g - 70. Let k be z(-8). Let n(r) = 654 - 654 - k*r. Let q(s) = -19*s**2. Determine q(n(w)). -76*w**2 Let c(g) = 19*g. Let x(u) be the second derivative of 269*u**3/6 - 2*u - 26. What is c(x(m))? 5111*m Let g(r) = 120*r - 411*r - 3*r**2 + 162*r + 129*r. Let a(q) = -q**2 - 4*q - 1. Let j be a(-3). Let o(l) = -l**j + l**2 - 4*l**2 + 3*l**2. Calculate g(o(n)). -3*n**4 Let g(d) = d. Let k(s) be the first derivative of -57 - 1/3*s**3 + s**2 + 0*s. Determine g(k(i)). -i**2 + 2*i Let k(f) = -4*f**2. Let a(t) = 3098 - 7*t - 3098. Let h(n) be the second derivative of 155*n**3/6 + n. Let c(u) = 45*a(u) + 2*h(u). Give k(c(j)). -100*j**2 Let v(w) = 2*w**2. Let l(f) = 1705685*f**2. What is v(l(q))? 5818722638450*q**4 Let r(l) be the third derivative of 23*l**5/60 - 53*l**3/6 - 14623*l**2. Let z(n) = -n**2. Give r(z(m)). 23*m**4 - 53 Suppose 3*i - 10 = -2*i. Let j(x) = 4 - x**2 - 6 + i. Let y(b) = 2*b + 17. Let f(a) = 3*a + 29. Let t(c) = -3*f(c) + 5*y(c). Calculate t(j(k)). -k**2 - 2 Let s(r) = -r**2 - 9288. Let y(p) = -3085*p + 2. Determine s(y(v)). -9517225*v**2 + 12340*v - 9292 Let s(h) = -2*h**2. Let c(z) = -282*z**2 + 245*z**2 + 257*z**2 + 135*z**2. Calculate s(c(u)). -252050*u**4 Let v(b) = -437743*b. Let l(k) = -31*k**2. What is v(l(x))? 13570033*x**2 Let p(a) = -14*a**2. Let w = -15675 - -15675. Let q(b) be the second derivative of 27*b + 0*b**2 + w*b**3 + 0 + 1/12*b**4. Give p(q(u)). -14*u**4 Let t(n) = 2*n. Suppose -56*v = -46*v. Let b(u) be the second derivative of 0*u**2 - 10*u + v + 2/3*u**4 + 0*u**3. Calculate b(t(h)). 32*h**2 Let d(g) = -g**2 - 8*g + 11. Let l be d(-9). Suppose -8*u + 1350 = -6*u. Let r(j) = -3*j**2 + 5*j**l + u - 675. Let b(w) = -20*w**2. What is r(b(p))? 800*p**4 Let r(v) = v**2 - v + 2. Let j(s) = 5*s**2 - 9*s + 18. Let z(q) = -4*j(q) + 36*r(q). Let i(f) = 32*f + 2. Calculate z(i(y)). 16384*y**2 + 2048*y + 64 Let v(m) = -364*m + 1469*m - 360*m - 350*m - 358*m. Let t(w) = -9*w + 11. Let a(i) = 5*i - 6. Let s(d) = 11*a(d) + 6*t(d). What is s(v(u))? 37*u Let t(i) = 2*i + 77. Let f(v) = 4409*v. What is f(t(a))? 8818*a + 339493 Let t(f) = f - 3658. Let w(h) = 2*h**2 + 130*h. Determine w(t(s)). 2*s**2 - 14502*s + 26286388 Let x(f) be the first derivative of -f**4/24 + 55*f**2/2 - 2*f + 66. Let u(m) be the second derivative of x(m). Let c(r) = -157*r**2. What is u(c(s))? 157*s**2 Let w(j) = 6*j. Let b(a) = -7*a + 9774 + 49*a - 9775. Determine b(w(q)). 252*q - 1 Let h(o) = 74 - 37 - 37 + o**2. Let z(g) = -26*g + 74*g - 21*g - 34*g - 2*g**2. Calculate z(h(n)). -2*n**4 - 7*n**2 Let p(r) = 2611337 - 2611337 + 3*r. Let a(k) be the third derivative of -k**7/1260 + k**4/24 - 2*k**2. Let s(g) be the second derivative of a(g). Give p(s(j)). -6*j**2 Let k(v) = -v + 0*v + 0*v. Let p be (3/3)/(1/3). Let x(d) = -17*d + 1 + 6 - 10 + p. Give k(x(i)). 17*i Let g(i) = -2*i**2. Let n(c) = c**2 + 7*c - 8. Let l be n(-8). Let k(p) = -11*p - p + l + 3 - p - 2. Calculate k(g(q)). 26*q**2 + 1 Let o(m) = 167*m + 9. Let f(p) be the first derivative of p**2/2 - 317. Give o(f(d)). 167*d + 9 Suppose 3*i + 21 = 3*c, 0 = -i + 4*i - 12. Let h(q) = -2 + 0 + c*q**2 + 2. Let k(o) = -2*o - 1896 + 1896. Determine h(k(t)). 44*t**2 Let o(i) = 297412*i**2 - i. Let a(j) = -79*j. Calculate o(a(t)). 1856148292*t**2 + 79*t Let c(g) = -2*g. Let m = 4 + -1. Suppose -f - 2*f - m*b + 9 = 0, -3*b = 4*f - 17. Let h(y) = -12*y**2 + 6*y**2 - f*y**2. Determine c(h(x)). 28*x**2 Let s(g) = -2*g. Let k(v) = -176583630*v**2. Calculate s(k(c)). 353167260*c**2 Let p(y) = -144*y - 56. Let l(m) be the third derivative of -m**5/60 + 2*m**2 - 5515*m. Determine p(l(x)). 144*x**2 - 56 Let f(y) = -4*y**2. Let z(d) = 4*d - 8. Let i be (1/4 + 75/(-12))/(-2). Let v(l) = 0*l - l + 2*l - 3. Let k(q) = i*z(q) - 8*v(q). Give f(k(h)). -64*h**2 Let a(j) = -872*j. Let n(w) = -45488*w**2. Calculate a(n(p)). 39665536*p**2 Let z(x) = -2*x + 32. Let v be 2/16*40*(-2)/(-5). Let j(p) = 7 - 28*p**v + 3 - 10 + 30*p**2. Calculate z(j(f)). -4*f**2 + 32 Let j(z) = -97833*z. Let g(y) = 11*y + 8. What is g(j(l))? -1076163*l + 8 Let d(b) = b. Suppose 3*c = x + 150, 5*c - 2*x - 251 = -0*c. Let t(u) = -24*u**2 - 21*u**2 + c*u**2. Determine t(d(r)). 4*r**2 Let h(b) = 3*b**2. Let k(c) be the second derivative of c**3/6 - 89*c**2/2 + 2*c + 80. Calculate k(h(d)). 3*d**2 - 89 Let n(q) be the second derivative of q**4/2 + 25*q. Let a(o) = -o. Let z(d) = -21*d**2 + 4*d. Let k(y) = 4*a(y) + z(y). Give n(k(w)). 2646*w**4 Let h(u) = -61*u**2 - u. Let b(a) be the second derivative of a**4/4 - 10*a + 29. Determine b(h(l)). 11163*l**4 + 366*l**3 + 3*l**2 Let u(s) = s + 17. Let c be 344/6 - 3/9. Suppose -14*l + 16*l = 238. Let x(z) = c*z + 61*z - l*z. Calculate x(u(g)). -g - 17 Let d(f) = f + 36. Let s(m) = -69*m**2 - 5*m - 182. Let y(z) = -5*d(z) - s(z). Let u(l) = -14*l + 1. Give y(u(a)). 13524*a**2 - 1932*a + 71 Let r(p) = p**2. Let i(w) = 42083*w - 14. What is i(r(a))? 42083*a**2 - 14 Let a(x) be the second derivative of -x**4/12 - 32*x**2 - 148*x. Let w(m) be the first derivative of a(m). Let n(i) = 77*i**2 + 2. What is w(n(f))? -154*f**2 - 4 Let k(v) = -v**2. Let c(u) = 15*u**2 + u - 5. Let y(x) = 1760*x**2 - 44*x + 220. Let j(o) = -132*c(o) - 3*y(o). What is j(k(z))? -7260*z**4 Let g(t) = -89*t**2. Let v(a) = -184*a + 184*a - 8*a**2 + 25*a**2 - 15*a**2. Determine g(v(c)). -356*c**4 Let t(l) = -3*l - 129. Let z(n) = 0 - 1006*n + 489*n + 522*n + 0. Calculate z(t(p)). -15*p - 645 Let v(p) = 3*p**2. Let x(g) = 2. Let r(n) = n + 8. Let l(t) = -15*t - 129. Let u(d) = -2*l(d) - 33*r(d). Let s(w) = -u(w) - 3*x(w). Give v(s(j)). 27*j**2 Let l(h) = -9*h**2 - 168*h**2 - 102*h**2. Let t(g) be the third derivative of -g**4/12 - 16915*g**2. Calculate l(t(s)). -1116*s**2 Let c(k) = -2389282*k**2. Let i(s) = -s**2. Give
{ "pile_set_name": "DM Mathematics" }
4). Calculate the remainder when 15 is divided by y - (9/m - -5). 3 Let q be 10/3*(-6)/(-5). Suppose 2*h = -4*j + 78, -2*j + q*h = -18 - 16. Suppose 10*r - 110 = 8*r. What is the remainder when r is divided by j? 17 Let s(l) = -4*l - 38. Suppose 4*g - y = 33, 3 = -y + 6. What is the remainder when g is divided by s(-11)? 3 Let v be (3/(-15)*2)/(1/(-220)). Let u = 107 - v. Calculate the remainder when 188 is divided by u. 17 Suppose -76*w + 68*w = -400. Calculate the remainder when w is divided by 22. 6 Suppose -7*r + 882 + 1603 = 0. What is the remainder when r is divided by 51? 49 Let x(d) = -5*d - 1. Let f be (2/((-4)/14))/1. Suppose -32 = -j + 5*a, 7*j - 28 = 4*j - 2*a. Calculate the remainder when x(f) is divided by j. 10 Let l = -6 + 9. Suppose p - l*r = 86, -3*r + 315 = 5*p - 25. What is the remainder when p is divided by 24? 23 Suppose -24*q = -5*q - 532. Let x be (-68)/(-6)*(-12)/4. Calculate the remainder when q is divided by (-4)/(-12) + x/(-6). 4 Let a be (-6)/3 - (-5 + 1). Let b = a - -6. What is the remainder when 23 is divided by b? 7 Let a = -5 + 243. Calculate the remainder when a is divided by 15. 13 Let w = 56 + -54. Suppose 0 = c, 2*c + 4 = w*h - 2*c. What is the remainder when h is divided by 2? 0 Suppose 68 = 6*h - 2*h. Suppose -4*j - 4*f + 9*f = -265, 264 = 4*j - 4*f. What is the remainder when j is divided by h? 14 Suppose 10*g - 8 = 22. Calculate the remainder when 1/g - ((-124)/6 - 2) is divided by 7. 2 Suppose 100 + 98 = 3*t + 2*a, -t + 4*a = -52. What is the remainder when 1533 is divided by t? 61 Suppose -5*l - 3*c = 3, 0 = -5*l + c + 1. Let g = 8 - l. Suppose 3*x - 10 - g = 0. Calculate the remainder when 22 is divided by x. 4 Let p = -272 - -314. Let q(t) = -3*t - 2. Let k be q(-8). Let a = p - k. What is the remainder when 39 is divided by a? 19 Calculate the remainder when 119 is divided by 3 + 10*(-21)/(-35). 2 Suppose -27*l + 3181 = 157. Calculate the remainder when l is divided by 34. 10 Let k = -41 - -39. What is the remainder when -1 + (k - -2) - -5*4 is divided by 11? 8 Suppose 927 = -5*p + 1637. What is the remainder when p is divided by 25? 17 Let b = 5 + -2. Suppose 2*o - 18 = 3*l + l, 0 = -5*o + b*l + 38. Let c = o + 0. What is the remainder when 24 is divided by c? 3 Let g = -2609 - -2654. Calculate the remainder when 573 is divided by g. 33 Let s be (308/(-42))/((-4)/6). Suppose 10*v = s*v - 13. What is the remainder when v is divided by 7? 6 Let j be ((-3)/6)/(1/(-84)). Suppose 4*w - w = j. What is the remainder when 37 is divided by w? 9 Let x = 4 - 9. Let z = x + 9. What is the remainder when 41 is divided by z? 1 Suppose -15 + 6 = z - 5*f, -4*z + 3*f + 32 = 0. What is the remainder when 505 is divided by z? 10 Let h(k) = -k**2 + 10*k - 11. Let j be h(8). Suppose -j*y + 45 + 50 = 0. What is the remainder when -73*3*(-2)/6 is divided by y? 16 Suppose 20*c = 16*c + 8. Suppose -60 = -3*u - c*u. What is the remainder when 19 is divided by u? 7 Suppose 0 = -2*v - 2*j + 46, -3*v = -3*j - 14 - 85. Suppose 4*d + 6 - 30 = 0. What is the remainder when v is divided by d? 4 Suppose 585 = 74*n - 821. Calculate the remainder when 159 is divided by n. 7 Suppose -y + 4*h = -0*y + 1, 38 = 4*y - 2*h. What is the remainder when y is divided by (-10 - -2)/(6/(-3))? 3 Let i(a) = -3*a**3 - a**2 + 5*a + 6. What is the remainder when 30 is divided by i(-2)? 14 Suppose 0 = 6*f + 4*f - 3190. Calculate the remainder when f is divided by 64. 63 Let p = -554 - -561. Calculate the remainder when 22 is divided by p. 1 Suppose -130 = -5*n + 5*m, 4*n - m = -1 + 90. Let g(z) = -z**2 - 7*z + 6. Calculate the remainder when n is divided by g(-6). 9 Let d(y) = y**2 + 7*y + 7. Calculate the remainder when 100 is divided by d(-11). 49 Suppose -10*y = -982 - 2718. What is the remainder when y is divided by 77? 62 Let k(n) = -6*n**2 - n + 1. Let d be k(1). Let b = -12 - -82. Calculate the remainder when b is divided by d/(-12) - (-70)/4. 16 Suppose 2*d = -4*z - 6 - 0, -5*z = 4*d. Let k(q) = 9*q**3 - q + 1. Calculate the remainder when k(1) is divided by z/(-18) + (-129)/(-27). 4 Suppose -11*p + 17*p - 282 = 0. Calculate the remainder when 147 is divided by p. 6 What is the remainder when (-4)/10*(3 + -523) is divided by 30? 28 Calculate the remainder when 129 is divided by (22/77)/(((-18)/(-224))/9). 1 Let s = -179 + 233. Calculate the remainder when s is divided by 14. 12 Suppose -2*t + 0*t = 8. Let h be (56/(-21))/(t/18). Let c = -8 + h. What is the remainder when c is divided by 3? 1 Suppose -i = 2*i - 132. Suppose 733 - 917 = -8*n. Calculate the remainder when i is divided by n. 21 Let l(i) = -12*i**2 + i - 2. Let f be l(-3). Let s = f + 157. Calculate the remainder when 85 is divided by s. 41 Let c = -233 + 243. Calculate the remainder when 45 is divided by c. 5 Let p(f) = 2*f**2 - 4*f - 12. Let n be p(6). Let x = n - -1. What is the remainder when 147 is divided by x? 36 Let d(a) = a**3 - 3*a**2. Suppose -3 = -3*k + 12. Suppose 5*p - 90 = -5*o, -48 = -5*o + 4*p - 3. What is the remainder when d(k) is divided by o? 11 Suppose 23*u = 18*u - 335. Calculate the remainder when (1 - u) + (-14 - -12) is divided by 17. 15 Let c = 56 + -51. Let b = 10 - -2. What is the remainder when -5*(-1 - b/15) is divided by c? 4 Let d(a) = -8*a**3 + a**2 + 10*a + 9. Calculate the remainder when 91 is divided by d(-1). 3 Suppose 2*n - 12 - 10 = 4*w, 3*n - 5*w - 29 = 0. Suppose 0 = j - 5*j + 36. What is the remainder when j/(-6)*(-16)/6 is divided by n? 1 Suppose -4*u = -3*y - 2*y + 62, 4*u = 3*y - 34. Calculate the remainder when y is divided by 6. 2 Let h(b) = b**2 - 20*b - 4. Let q(c) = 10*c - 39. Let w be q(6). Let l(d) = 17*d - 2. Calculate the remainder when l(2) is divided by h(w). 15 Let n(c) = -c**3 + 24*c**2 - 22*c + 12. Calculate the remainder when 381 is divided by n(23). 31 Let w = -307 - -353. Calculate the remainder when 91 is divided by w. 45 Let v(n) = n**3 - 6*n**2 - n + 8. Let z be v(8). Suppose -7*h = -397 - z. Calculate the remainder when h is divided by 7. 5 Suppose 4*n + 2*g = -g + 54, 0 = -2*n - 3*g + 30. Calculate the remainder when ((-4)/(-10))/((-5)/(-275)) is divided by n. 10 Let z(q) = -40*q + 5. Let a(p) = 200*p - 26. Let k(c) = -2*a(c) - 11*z(c). What is the remainder when k(3) is divided by 17? 15 Let m(h) = 7*h**3 - 57*h**2 + 11*h - 16. Calculate the remainder when 611 is divided by m(8). 3 Let o(q) = -q**3 - 6*q**2 - 6*q. Let i(l) = -6 + 25 + 0 - l. Calculate the remainder when i(12) is divided by o(-5). 2 What is the remainder when 128 is divided by 620/14 - 9/378*12? 40 What is the remainder when 449*5*(-2)/(-10) - -3 is divided by 65? 62 Let v(j) = -7*j - 3*j - 3*j - 9 - j**2 + 2*j**2. What is the remainder when 8 is divided by v(14)? 3 Suppose -3*m + 2875 - 323 = x, 0 = m + 3*x - 840. Calculate the remainder when m is divided by 61. 59 Let z be 1*(-11 - 1)/(-3). Suppose -5 + 61 = z*i. Suppose -3*s - i + 44 = 0. Calculate the remainder when 29 is divided by s. 9 Let p = -135 + 217. What is the remainder when p is divided by 22? 16 What is the remainder when 53 is divided by 44*(35/(-5))/(-28)? 9 What is the remainder when 137 is divided by (-134)/(2*-1) + 20 + -16? 66 What is the remainder when -370*((-260)/(-50))/(-13) is divided by 16? 4 Let q = 7 + 11. What is the remainder when -52*9/42*616/(-132) is divided by q? 16 Suppose 2 - 3 = -x. Calculate the remainder when 2/7 - 687/(-21) is divided by 20 + (x + 0 - 4). 16 Let i = -8307 + 8328. What is the remainder when i is divided by 21*(-1)/(-3)*2? 7 Let m(v) = 9*v**2 + 27*v + 65. What is the remainder when m(-10) is divided by 41? 39 Suppose 5*b - b - 36 = 0. Calculate the remainder when (-5)/((-4)/(-56)*-2) is divided by b. 8 Let d(b) = 15*b**2 + 3*b + 3. Let w be d(-1). Suppose -w = 3*i, -2*i = -5*m + 2*i + 40. Calculate the remainder when 9 is divided by m. 1 Let r(j) = -j**3 + 6*j**2 + 7*j - 6. Suppose 4*b - 8 - 8 = 0. Calculate the remainder when r(b) is divided by 11. 10 Let o(q) = -q. Let m(d) = d**2 - 25*d + 21. Let s(r) = -m(r) + 6*o(r). Calculate the remainder when 36 is divided by s(17). 10 Let t(n) = n**2 - 21*n + 20. Let m be t(23). Suppose -14*c - m = -17*c. Calculate the remainder when c is divided by 0 - 1 - (-6 - 0). 2 Suppose -286 - 169 = -7*i
{ "pile_set_name": "DM Mathematics" }
7*p**5/60 - 5*p**2. Let v(n) be the third derivative of u(n). What is the units digit of v(-4)? 5 Suppose 0 = 15*h - 10*h - 1175. Let c = h - 2. What is the hundreds digit of c? 2 Let n = 488 - 116. Suppose 4*w = -4*l + 2*l - n, l - 4 = 0. What is the tens digit of (-2)/5 + (-5738)/w? 6 Suppose -21*u + 33765 = -13758. What is the tens digit of u? 6 Suppose 0*p - 5117 = -17*p. What is the hundreds digit of p? 3 Suppose 19*y - 63 = -2*y. What is the units digit of y? 3 Suppose 3*f - 2 + 14 = 0. Let h(a) = 2*a**2 - a - 6. Let y(m) = m**2 - m - 5. Let n(r) = 2*h(r) - 3*y(r). What is the tens digit of n(f)? 1 Suppose i - 3*q = -q + 458, 0 = 5*i + 5*q - 2275. What is the units digit of i? 6 Let o = -12 + 12. Suppose o = u - 2*u + 12. What is the units digit of 111/u + (-3)/12? 9 Let z(m) = -1136*m**3 - 5*m**2 - m + 3. What is the tens digit of z(-1)? 3 Suppose -2*p + 0*p + i + 4 = 0, p = 2*i - 1. Suppose -4*t + 16 = 0, t - 154 = p*x + 3*t. What is the units digit of (882/x)/((-2)/6)? 9 Let k = -12 + 7. Let n be (4/(-4) - k) + 1. Suppose -38 = -2*b - 2*t, -b = -0*t - n*t + 5. What is the tens digit of b? 1 Let b(n) = 5*n - 28. Let r be b(7). What is the tens digit of (-1296)/(-21) - (-2)/r? 6 What is the hundreds digit of (18 - -7)*-2*56/(-4)? 7 Let q(l) = 48 + 39 - 51 - 9*l + l**2. What is the units digit of q(11)? 8 Suppose 943 = 3*t - 4*a, -431 = -3*t + 3*a + 517. What is the units digit of t? 1 Suppose 60 = 8*s - 636. What is the units digit of s? 7 What is the units digit of (-2255)/(-22)*((-13)/(-5) + -1)? 4 Suppose 17*s - 21*s = -376. Let c = 114 - s. What is the tens digit of c? 2 Let i(l) = 83*l**2 - 2*l - 1. Let y be i(-1). Suppose -4*w = -16 + y. Let t = 21 + w. What is the units digit of t? 4 Let n(c) = -c + 6. Let h be n(8). Let q be h/(-9) - (-440)/45. Suppose 0 = -3*j - 2*j + q. What is the units digit of j? 2 Let p(s) = -15*s + 13. Let j be (1/2)/((-6)/(-108)). Let z be p(j). Let g = -81 - z. What is the tens digit of g? 4 Let u = -1103 - -1799. What is the units digit of (2/4)/(6/u)? 8 Suppose -63 - 25 = -k. Let p be (-88 + 2)/(-1 + 3). Let y = k + p. What is the tens digit of y? 4 Suppose -3*f + 4 + 2 = 0. Suppose -8 = 2*p, i - 51 = -f*p + p. Suppose -c + 51 = 2*y, 2*y - 7*c + 4*c = i. What is the tens digit of y? 2 Let q be 23 + -25 + (-212)/(-2). Suppose 2*l = 24 + q. What is the tens digit of l? 6 Let g be (-7317)/12 - 15/(-20). Let a = g + 870. What is the tens digit of a? 6 Let u(l) = l**3 + 6*l**2 - 5*l - 6. Let g be u(-6). What is the units digit of g/(-8) + 1*52? 9 Let v be (-2)/8 - (-2)/8. Let u(i) = -i**3 + i**2 + 12 - 13*i + 26*i - 15*i. What is the tens digit of u(v)? 1 Let s = 34 + -31. Suppose 12*k - s*k - 693 = 0. What is the tens digit of k? 7 Suppose 15*v = 12*v + 348. What is the tens digit of v? 1 Let u be 100/8*(-16)/(-20). Suppose 11*t = u*t + 4. What is the tens digit of -3 - -21 - t/(-4)? 1 Let n(u) = u**2 - u + 93. Let r be 0/(8 + -3 + -3). What is the tens digit of n(r)? 9 Let a be (12/(-5))/((-33)/110). Suppose -4*t + a*t - 268 = 0. What is the tens digit of t? 6 Let r(g) = 14*g. Let i be r(1). Let b(y) be the second derivative of y**4/12 - 13*y**3/6 + y**2/2 - 3*y. What is the units digit of b(i)? 5 Suppose 26 = 5*i + 4*w, 0 = -2*i - 3*i - 2*w + 18. Suppose 0 = l - i - 26. What is the units digit of l? 8 Suppose 216*y - 212*y = 12. Suppose 0 = y*g - 5*x - 876, -3*g - g + 3*x + 1168 = 0. What is the units digit of g? 2 Let x be ((-8)/(-2) - 3) + 11. What is the tens digit of 4 - 3*(-88)/x? 2 Let n = -63 - -107. Suppose 0 = 12*c - 16*c + n. What is the units digit of c? 1 Let h = -65 - -48. Let o = 97 - h. What is the units digit of o? 4 Let u = 5283 + -2926. What is the hundreds digit of u? 3 Let b(c) be the second derivative of -11*c**4/24 - c**3/6 - c**2/2 - 7*c. Let g(o) be the first derivative of b(o). What is the units digit of g(-4)? 3 Let h = 507 - -610. What is the units digit of h? 7 Suppose 5*o = 17 - 32. What is the units digit of o + 56 - (3 + -6)? 6 Suppose 0*l + 6 = -3*l. What is the units digit of 1092/24 - 1/l? 6 Let u(l) = l**2 - 8. Let v be u(0). Let z = -83 + 76. Let j = z - v. What is the units digit of j? 1 Suppose 5*t - 6 = 2*t. Let m = 2 + t. Suppose m*u + h = -33 + 147, 4*u = 5*h + 126. What is the units digit of u? 9 Let g(p) = p**2 - 3*p - 3. Let f be g(4). Let m(t) = -4*t**3. Let r be m(f). What is the units digit of 1 - r/(-4) - -8? 8 Let r(j) = j**3 + 14*j**2 + j + 20. Let a be r(-14). What is the tens digit of a*5/60*32*1? 1 Let v = 39 - 37. Suppose -i = -4*b - 1 + 5, -4*i - 2*b + v = 0. Suppose -4*q - 350 = -5*s - q, q = i. What is the tens digit of s? 7 Suppose 5*a - 2*h = 2*h + 8093, 0 = -2*a + h + 3236. What is the hundreds digit of 4/6*-1 - a/(-9)? 1 Suppose 9 + 1 = u. Suppose -11 = -4*r - 5*x, -4*x + 7*x + 3 = 0. Suppose -2 = r*o - u. What is the units digit of o? 2 What is the units digit of ((-8 + 1)/(-28))/(1/916)? 9 Let n(p) = -p**3 + p**2 + p - 4. Let x be n(0). Let d(i) = i**3 + 4*i**2 + i + 4. Let f be d(x). What is the units digit of -1*(-1 - (7 - f))? 8 Let w(x) = 266*x**2 + 24*x - 16. What is the tens digit of w(-4)? 4 Suppose 778 = -9*j + 4423. What is the hundreds digit of j? 4 Let h = 106 - -963. What is the thousands digit of h? 1 Let o be (-6)/(-4) + 3/2. What is the units digit of -3*(-30 + o)/3? 7 Let p(m) = 7*m + 14. Let q = 52 - 45. What is the units digit of p(q)? 3 Let g = 503 - -33. Suppose -3*i = i - g. What is the hundreds digit of i? 1 Suppose 5*i = -6*i. Suppose 3*x = -2*v + 34, i*x - 4*v = -x + 2. What is the units digit of x? 0 Let g be (27/(-18))/(1/(-2)). Suppose 0*m - 3*b = m - 104, -g*b - 190 = -2*m. What is the units digit of m? 8 Let y be (-1)/(3/99)*28/(-4). Suppose -y*q + 681 = -228*q. What is the tens digit of q? 2 Suppose -5832 = 52*h - 58*h. What is the tens digit of h? 7 Let i be -2 - (-3 + 4 - 98). Let t = i + -47. Suppose 4*g + 2*f - 194 = 0, 2*g - f + t = 3*g. What is the tens digit of g? 4 Suppose -31326 = -8*k - 12118. What is the tens digit of k? 0 Let g(q) = 36*q**2 + 4*q - 54. Let c(f) = -7*f**2 - f + 11. Let w(m) = -11*c(m) - 2*g(m). What is the units digit of w(4)? 9 Suppose 0*h - 10 = -5*h. Suppose b + 40 = p, -3*b - 46 = -h*p + 36. What is the units digit of p? 8 Let s be 0 - ((16 - 3) + -1). Let t(j) = -j**3 - 12*j**2 + j + 14. Let u be t(s). Suppose 5 - 1 = -p, -5*p = -u*n + 62. What is the units digit of n? 1 Let k(g) = 2*g + g + 5*g - 5 + 3*g**2 - 4*g - 5*g**3. What is the units digit of k(-3)? 5 Let h(r) = 38*r**2 - 22*r - 67. What is the units digit of h(-4)? 9 Suppose 21 = 5*m + 6. Let p(x) = m + x**2 + 0 + 3. What is the units digit of p(6)? 2 Suppose -2*w = 5*w - 15547. What is the tens digit of w? 2 Let v = -1 - -5. Let n(w) = 2*w**2 + 54*w + 8. Let k be n(-26). Let a = v - k. What is the units digit of a? 8 Let p be 12/(-4) - -136 - -1. Let k = -190 + p. What is the tens digit of 36/(-14)*k/12? 1 Suppose -22*s = -44*s + 26378. What is the thousands digit of s? 1 Let j be 1*(-6 + 3)/(-3). Suppose 8 = 3*z - j. What is the units digit of 9 - 1/(1/z)? 6 Suppose 5*a + 61 = -5*t + 2*a, -5*a = t - 1. What is the units digit of (-14)/(-4)*t/(-1)? 9 What is the units digit of 3/120*8 + 1479/5? 6 Let g(u) = -u**3 + u + 3. Let v(x) = x**3 + x**2 - 2*x - 3. Let o(w) = 2*g(w) + 3*v(w). Let f be o(-4). Let q = f - -19. What is the tens digit of q? 1 Let s(c) = 43*c - 75. What is the hundreds digit of s(18)? 6 Suppose 4*y + 3*d - 2140 = 4*d, d = -y + 535. What is the units digit of y? 5 Let c(l) = -2*l**3 + 9*l**2 + 30*l - 17. What is the hundreds digit of c(-10)? 5 Let z(c) = c**3 - 9*c**2 + 9*c - 22. Let v = 51 + -42. What is the tens digit of z(v)? 5 Let h(c) = c - 12. Let a be h(12). Let z = 72 + a. What is the units digit of z? 2 What is the units digit of 5/(-15) + 1 + (-2722)/(-3)? 8 Let j = -177 + 607. What is the tens digit of j? 3 Let z be (76/(-2))/(4/(-16)). Let q = z + -29. What is the units digit of q? 3 Suppose -158*w - 5883 = -161*w. What is the thousands digit of w? 1 Let q = 24 + -12. Let w be (q/15)/(6/15). Suppose -20 = -7*x + w*x. What is the units digit of x? 4 Let g = 331 - 220. Let b = g - 43. What is the tens digit of b? 6 Let l = -2895 + 5679. What is the units digit of l? 4 Suppose 3*q - 4*c
{ "pile_set_name": "DM Mathematics" }
+ 62, -47*f + 74*f - 2*a = 23*f + 20 for f. -4 Solve -3109*s + 3115*s + 5*i = -53, -s = 4*i + 12 for s. -8 Solve -2*s - 3*s - 152*g + 15 = 114*g - 268*g, 0 = 5*s + 4*g - 15 for s. 3 Solve 6*v - 165 = -3*p, -1152 = 3*v - 2*v + 5*p - 1202 for v. 25 Solve -2228 = -4*h - 11*j - 2192, -h + 3*j - 6 = -4*h for h. -2 Solve y + 108 = 53*o, -3 = 62*o - 67*o - 2*y + 3 for o. 2 Solve 4*p + 4*a = 8, -85*a + 286 - 26 = 4*p - 9*p for p. -1 Solve 5*h - 5*n = 230, 0 = 2*h + n - 210751 + 210809 for h. -4 Solve -5*q + 219 = 13*d - 300, -3*d + 119 = -393*q + 199*q + 195*q for d. 38 Solve -2*w - 129 = 9*k - 153, -2*w - 5 = -11 for k. 2 Solve 3*b - 42 = -2*g - 45, -14*b + 4*g + 14 = -12 for b. 1 Solve j - 3*y - 8 = 0, 3*j - 525*y + 46 = -530*y for j. -7 Solve 0 = 3*o - 198, 7*b = 2*b + 1260*o - 1261*o + 91 for b. 5 Solve j = 82*g - 87*g - 18, 27*j + 10*j + g + 114 = 0 for j. -3 Solve -5*b - g - 64 = 0, -32 + 58 = b - 5*g - 141 - 75 for b. -3 Solve 889028 - 889004 = -2*p + 4*u, -u + 16 = 2*p for p. 4 Solve -59 = p - 2*a - 3*a, -a = -2268*p + 2271*p + 1 for p. -4 Solve 3*r + 19*b = 48*b - 22*b - 156, -3*r + 3*b - 53 = 91 for r. -45 Solve -1888 = 16*p + 4*m, 668*p - 3*m - 2006 = 685*p for p. -118 Solve -4*o = 3*r - 15, -3*o - 519*r = -522*r + 15 for o. 0 Solve g + 10 = 2*k, 302 - 147 - 147 = 2*g for k. 7 Solve -37609*n - 5*q = -37611*n + 9, 0 = -4*n - 15*q - 7 for n. 2 Solve -4*z + 626 = -2*i + 564, 4*z - 3*z + 2*i = 22 - 19 for z. 13 Solve -3*j + 115 = -n, -3*n = j - 5*j + j + 105 for n. 5 Solve -q + 9 = -6*q - 2*s, 13*q + s + 170 - 125 = 3*s for q. -3 Solve 231644*a + 9 = -g + 231648*a, -17 = 3*g - 2*a for g. -5 Solve 0 = -159*o + 157*o + u - 4*u + 115, -11*o + 5*u - 120 = 0 for o. 5 Solve -4*g + 40 = 5*a, -42105*g - 2 = -3*a - 42103*g for a. 4 Solve 20*t - i = -7, -22*t + 19*t = 4*i + 55 for t. -1 Solve p + 2*p - 30 = -m, 4*p + 44 = 7*p + p for m. -3 Solve x = -4*g + 124, 4009 = -8*x + 4041 for g. 30 Solve 1 = 11*z + 3*h, 2*h - 12 = 56040*z - 56036*z for z. -1 Solve -5*w + 47 = 5*j - 43, 0*w - w = 6*j - 83 for j. 13 Solve 0 = m - 6*m - 16*n + 140, 0 = -m - 0*m - 11*n + 106 for m. -4 Solve 0 = 5*x - 2*p - 106 + 9 + 16 - 3, 26 = 2*x + 3*p for x. 16 Solve 4*f + 4*j + 36 = 0, -f - 1889 + 1910 = -5*j for f. -4 Solve 10*q = 15*o + 70, 8520 - 8561 = 5*q + 2*o for q. -5 Solve -355169*v = -4*l - 355171*v - 20, -5*l = 5*v + 35 for l. -3 Solve 14784*i + 431 = 14788*i - 58*j + 11*j, 4*i + 4*j = -28 for i. 2 Solve -9*c - 2*x + 55 = -0*x - 6*x, -x = 7 for c. 3 Solve -12*d + 3*l - 174 = 0, -1096*d + 4*l = -1091*d + 78 for d. -14 Solve -3*c = -2*x + 165 + 57, -19826 = 3*c - 5*x - 19604 for c. -74 Solve -168*u + 8 - 1 + 65 = -172*u - 76, -20*z + 5*u + 165 = 0 for z. -1 Solve 3*d = -5*x + 23, -5*x = -55514*d + 55516*d - 17 for d. 6 Solve 5*z = 27*c - 17, 5857*c - 2*z = 2931*c + 2928*c - 6 for c. 1 Solve -34*h - 655 = -3*d, 94 - 173 = -d + 4*h for d. 3 Solve -90*u - 4*v = -89*u - 19, -2*v - 17 = -3*u - 6*v for u. -1 Solve -7903222 = 4*v - 5*w - 7903239, 9*w + 21 = 4*v for v. 3 Solve -c - a + 12 = 3*c, -21*c - 8*a + 100*a + 384 = -17*c for c. 4 Solve 0 = -20*c - t - 275, 2*c + 25*t - 16*t - 11*t + 38 = 0 for c. -14 Solve -39*o + 477 = 3*z + 2*z + z, 0 = 4*o + 2*z + 2*z - 33 + 1 for o. 13 Solve 226*j - 178 = 228*j, -i + 7*i - 5*j - 441 = 2*i for i. -1 Solve 1752*o + 61 = 4*c + 1757*o, c - 19*o = -86 for c. 9 Solve -32*d = -3*t - 44, -d - 1805*t + 11 = -1810*t - 10 for d. 1 Solve -d + 1064930 = -56*p + 1065078, 4*d = -2*p + 86 for d. 20 Solve -k + 10 = -5*x - 5, -3*k = -78*x + 76*x + 7 for k. -5 Solve -10*l - 5*l + 20 = -h, h - l = -8*h + 88 for h. 10 Solve 99 = -3*y - 3*k, 2*k - 36627 + 36691 = 0 for y. -1 Solve m = 33*v - 24, 268*m = -4*v + 261*m - 168 for v. 0 Solve -12 - 2 = -291496*t + 291493*t + 5*u, 4*t + 5*u = 2*u + 9 for t. 3 Solve -4*m + 5*q = -71, -7 = -3*m + 4*q + 14 + 46 - 11 for m. 4 Solve 0 = -3*s + 2*w + 5, -12802*s + 12803*s + 5*w + 4 = 0 for s. 1 Solve 4*j + 6 = -3*b, -2*b + 0*b + 9213 = -4*j + 9237 for b. -6 Solve 126*k = 6*x + 125*k - 34, 5*x - 3*k - 89 = 0 for x. 1 Solve 69*h + 16 = 71*h, -40*l - 128 = -2*h - 2*h + 3*h for l. -3 Solve 2*t + 5*r = 4*r - 87, -421*t - 4*r + 226 = -427*t for t. -41 Solve -4*g - 17*z = 201, -88 = -g - 3*z - 132 for g. -29 Solve 2*j - j - 51 = -4*j - 2*q, 0 = 3*j + q - 24 for j. -3 Solve -3*r + 4*w + 25 = -6 + 6, 42 - 7 = -7*r - 4*w for r. -1 Solve 208 - 330 = -3*y + 25*p, 0 = -y + 3*p + 8 + 22 for y. 24 Solve 21*r - 105 = -83*i + 78*i, -25 = -5*r for i. 0 Solve 2*j + 5*z = 74, 0 = -310*j + 309*j + 5*z - 22 + 59 for j. 37 Solve 1 + 7 = -4*c, 2*c + 3 = -2*a + 9*c + 61 for a. 22 Solve 0 = -l - 6*d - 33, 99871*d = 3*l + 99868*d - 6 for l. -3 Solve 2*u - 65 = 3*y, 11871*u = 5930*u + 5938*u + 5*y + 108 for u. 1 Solve 3*z + 17 = 2*l, -284*z + 39 = 34*l + 12*z + 7*z - 304*z for l. 1 Solve -1658 + 1594 = -4*k + 4*s, 8*s - 59 = -3*k for k. 17 Solve -8*y = -5*c + 84, -185279*c + 185278*c - 5*y = 36 for c. 4 Solve 3608*s - 3594*s + 355 = 3*a, -s + 15*a + 13 = 2*a for s. -26 Solve -4*f + 34 = 6*a, 19*a = 4*a + 16*a - 5*f for a. 5 Solve 3*d - 5671*s + 5672*s = 9, -11 = d - 2*s for d. 1 Solve -750*u + 2*f + 48 = -691*u, -48 = -u + 2*f for u. 0 Solve 0 = -0*f - 4*f - 4*i + 152, -181 = -31*f - i + 907 for f. 35 Solve 18*d = -5*y + 38*d - 19*d + 7, 0 = -2*y + 7*d - 83 for y. 4 Solve -2*u = 12*p - 10, -4*p + 13*u + 65 = -2*p + 10*u for p. 4 Solve -1193 + 1251 = 2*i - 2*f, 4*f + 81 + 38 = 3*i for i. -3 Solve 1043*t - 1044*t + 5*w + 19 = 0, 2*w = -t - 9 for t. -1 Solve 0 = 9*q - 25*g + 29*g - 147, 2*q + 119 = 3*g for q. -1 Solve -156*b + 87*b = -66*b, 0 = -11*g - 4*b + 132 for g. 12 Solve 1002 = 2*o + 3*k + 1009, 0 = 3*o - k + 38 for o. -11 Solve 5*x - 31 - 24 - 37 + 80 = -9*m, 0 = 4*x + 12 for m. 3 Solve -o = 5*s + 38, -31*o + 35*o = -3*s - 118 for o. -28 Solve -3*k - 38244 = 44*v - 38493, 2*v - 5*k - 19 = 3*v for v. 6 Solve -116 = 2*b - 2*z, -286*b + 840 = -291*b + 15*z for b. -3 Solve -105*l + 107*l + 103 = -w + 108, -5*l - 34*w = 82 for l. 4 Solve 0 = q + 2*q - 4*b - 13, 24*q + 18*q + 20 = 44*q + 3*b for q. 7 Solve 2*d - 462 = 12*s, -58*s + 87 = -60*s - 3*d for s. -39 Solve 0 = 4*y + 29*r + 111, -y - 18 = -44304*r + 44308*r for y. -6 Solve d - 3*x - 11 = 0, -3*d - x = -363608 + 363575 for d. 11 Solve 7*n + 13*n - 38*n + 4*n = -13*n - 173*z - 687, 0 = -3*n + 4*z + 1 for n. -5 Solve 4*q - 5*q = 1, -13*m + 89 = -11*m - m - 4*m - 17*q for m. -24 Solve -82 = -2*j + 22*l, j - 11266*l = -11249*l + 65 for j. -3 Solve -2*q - 8*h + 11*h = 25, -8*q - 4*h = -358 + 314 for q. 1 Solve -5*q - 15169 = 5058*z, -346*q - 2*z = -348*q + 8 for q. 1 Solve 19*o - 9*o + 15*x = 13*x - 6, -3*x = o + 23 for o. 1 Solve 14*h = 6*r - 814, 279*h - 283*h - 224 = -0*r - 0*r for r. 5 Solve -3*t + 5*t - 9 = 3*t + 5, -1123*b + 1166*b + 4*t - 30 = 0 for b. 2 Solve -4 = 2*r - 7*j - 2*j + 12*j, 3*r + 12 = -3*r + 31*j - 27*j for r. -2 Solve -n + 161 - 128 = -3*x, 9*x - 108*n + 36*n = -1962 for x. -2 Solve 2911 = 266*s + 3*w, s + s + w = 4*w + 37 for s. 11 Solve -2*c + 2424718 = b + 2424724, -4 = c for b. 2 Solve -3*j - 31 = -4*l, -33479 = 2*l + 2*j - 33477 for l. 4 Solve 2*g = -y - 41, -70 = 5*g + 4415*y - 4419*y for g. -18 Solve -3*l - 1108219 + 1108224 = 4*h, -5 = -l - 3*h for l. -1 Solve a - 31 = 2*z, -20*a - a = -z - a - 620 for z. 0 Solve 0 = 5*u + 22*y + 804, 88*u = -89*u + 254*u - 80*u + 2*y + 80 for u. 2 Solve -14*o + 232 = 15*o, -2906*o + 35 = a - 2*a + 2*a - 2902*o for a. 3 Solve -33*k = -8*k - 12*b - 17*b - 2*b + 2149, 4*k + 332 = 2*b for k. -81 Solve -4*l + 12018*z - 204 = 12016*z, -2*l = 3*z + 94 for l. -50 Solve -7024 = 2*a - 7098, 2*a - 49 = 5*n for n. 5 Solve 5*r + 2*g = -21, 7099*r - 21282*r + 7091*r = -7096*r - 2*g - 24 for r. 3 Solve 3*a + 148622 = -2*i + 148605, 2*a + 16 = i for a. -7 Solve 2*n + 72 = -n + 3*d, -40012*d - 58 = -4*n - 40015*d for n. -2 Solve 2*b = m - 6496 + 6490, 5*m - 11*b - 2*b = 45 for m. -4 Solve 3207*l - 3205*l - 3*u + 59 = 0, 2*l + 4*l + 189 = 5*u for l. -34 Solve -606311*w = -606308*w - 0*l + 3*l - 96, -3*w + 5*l + 120 = 0 for w. 35 Solve 4*q - k = -73480826 + 73480859, -4*k - 36 = 0 for q. 6 Solve -4*f = 2*j + 24, 0 = -98451*f + 98455*f - 4*j + 12 for f. -5 Solve a + 0*a - 5*d = 57 - 126, 60*a = d - 253 for a. -4 Solve -3*r = 4*p - 63 + 92, 2*
{ "pile_set_name": "DM Mathematics" }
- 60 = 0 for r. -6, -2, -1 Find b, given that -4*b**3 + 696*b**2 - 30276*b = 0. 0, 87 Factor -c**2/5 - 12*c + 61/5. -(c - 1)*(c + 61)/5 Factor -d**2 + 66*d - 1089. -(d - 33)**2 Factor -5*c**3 + 1955*c**2 + 3930*c. -5*c*(c - 393)*(c + 2) Solve 2*l**3/19 + 108*l**2/19 - 6*l - 220/19 = 0. -55, -1, 2 Let -3*z**3 - 63*z**2 - 405*z - 825 = 0. What is z? -11, -5 Find l such that 3*l**3/2 - 57*l**2/2 - 6*l + 114 = 0. -2, 2, 19 Find s, given that -3*s**2 + 174*s - 2523 = 0. 29 Factor 2*h**2/5 - 296*h/5 + 294/5. 2*(h - 147)*(h - 1)/5 Suppose 8*x**5/9 + 22*x**4/9 + 10*x**3/9 - 4*x**2/9 = 0. Calculate x. -2, -1, 0, 1/4 Suppose -21*m**4/2 - 193*m**3/6 + 311*m**2/3 + 26*m/3 - 20/3 = 0. Calculate m. -5, -2/7, 2/9, 2 Factor y**3 - 26*y**2 + 64*y + 1536. (y - 16)**2*(y + 6) What is z in -2*z**2/13 + 44*z + 1152/13 = 0? -2, 288 Factor -s**4/6 + 11*s**3/6. -s**3*(s - 11)/6 Factor -c**4/3 - 3*c**3 + c**2/3 + 35*c. -c*(c - 3)*(c + 5)*(c + 7)/3 What is u in u**5 + 164*u**4 + 5854*u**3 - 71340*u**2 + 189225*u = 0? -87, 0, 5 Factor -w**4 - 10*w**3 + 32*w**2 + 384*w. -w*(w - 6)*(w + 8)**2 Find m, given that -5*m**5 - 30*m**4 + 230*m**3 + 840*m**2 - 225*m - 810 = 0. -9, -3, -1, 1, 6 Find r, given that -2*r**3/3 - 14*r**2/3 - 8*r/3 + 8 = 0. -6, -2, 1 Suppose -4*u**3 - 156*u**2 - 1056*u + 9680 = 0. What is u? -22, 5 Factor -4*r**3 + 260*r**2 + 536*r. -4*r*(r - 67)*(r + 2) Let v**5 + 4*v**4 - 8*v**3 - 14*v**2 + 7*v + 10 = 0. What is v? -5, -1, 1, 2 Factor -q**3/4 - 29*q**2/2 - 113*q/4 - 14. -(q + 1)**2*(q + 56)/4 Factor -21*b**4/8 - 93*b**3/8 - 15*b**2 - 9*b/2. -3*b*(b + 2)**2*(7*b + 3)/8 Find i, given that 5*i**3 - 50*i**2 - 55*i = 0. -1, 0, 11 Determine v so that -30*v**5 - 8*v**4 + 168*v**3 - 204*v**2 + 86*v - 12 = 0. -3, 1/3, 2/5, 1 Suppose h**4/7 - 18*h**3/7 + 109*h**2/7 - 36*h + 28 = 0. Calculate h. 2, 7 What is m in -4*m**2/3 - 8*m = 0? -6, 0 Determine m so that 3*m**5/5 - 3*m**4/5 - 27*m**3/5 + 3*m**2 + 48*m/5 - 36/5 = 0. -2, 1, 3 Factor 2*v**3/19 + 130*v**2/19 - 544*v/19 + 552/19. 2*(v - 2)**2*(v + 69)/19 Suppose g**5/4 + 5*g**4/2 + 2*g**3 - 5*g**2/2 - 9*g/4 = 0. What is g? -9, -1, 0, 1 Suppose -42*t**5 + 177*t**4 + 474*t**3 - 132*t**2 - 72*t = 0. Calculate t. -2, -2/7, 0, 1/2, 6 Determine s, given that s**4/4 - 3*s**2 + 4*s = 0. -4, 0, 2 Factor -5*y**2 - 25*y. -5*y*(y + 5) Determine s so that -2*s**2 - 468*s - 27378 = 0. -117 Let 5*c**5 + 5*c**4 - 15*c**3 - 25*c**2 - 10*c = 0. Calculate c. -1, 0, 2 Factor -q**5/4 + 3*q**4/4 + 9*q**3/4 + 5*q**2/4. -q**2*(q - 5)*(q + 1)**2/4 Let -2*d**3/11 + 624*d**2/11 - 49290*d/11 + 96100/11 = 0. What is d? 2, 155 Factor -j**3 + 6*j**2 + 40*j. -j*(j - 10)*(j + 4) Find n such that -7*n**5/3 + 37*n**4/3 - 22*n**3 + 44*n**2/3 - 8*n/3 = 0. 0, 2/7, 1, 2 Suppose -2*l**5/11 - 46*l**4/11 + 156*l**3/11 = 0. Calculate l. -26, 0, 3 Let 2*h**5 - 100*h**4 - 222*h**3 + 712*h**2 + 856*h - 1248 = 0. What is h? -3, -2, 1, 2, 52 Factor -4*l**3/3 - 64*l**2/3 - 112*l/3. -4*l*(l + 2)*(l + 14)/3 Determine c so that 5*c**4 + 25*c**3 + 45*c**2 + 35*c + 10 = 0. -2, -1 Let 2*r**5/11 - 8*r**4/11 + 28*r**2/11 - 34*r/11 + 12/11 = 0. Calculate r. -2, 1, 3 Factor -3*p**2/5 - 1647*p/5 - 1644/5. -3*(p + 1)*(p + 548)/5 Suppose -2*b**2 - 964*b - 116162 = 0. Calculate b. -241 Determine u so that -4*u**3 + 37796*u**2 - 89302496*u + 89264704 = 0. 1, 4724 Solve -5*f**5 - 62*f**4/3 + 67*f**3/3 + 10*f**2/3 = 0 for f. -5, -2/15, 0, 1 Solve 2*v**5 + 12*v**4 = 0. -6, 0 Determine j, given that -j**3/2 + 19*j**2/2 - 35*j = 0. 0, 5, 14 Factor 5*i**3 - 665*i**2 - 1350*i. 5*i*(i - 135)*(i + 2) Factor 2*r**2/3 - 962*r/3 + 1916/3. 2*(r - 479)*(r - 2)/3 Determine b, given that 18*b**3 + 5100*b**2 + 6776*b + 2256 = 0. -282, -2/3 Factor 2*z**4/11 + 54*z**3/11 + 390*z**2/11 + 338*z/11. 2*z*(z + 1)*(z + 13)**2/11 Factor p**3 + 1121*p**2 + 314720*p + 313600. (p + 1)*(p + 560)**2 Factor -5*z**2 + 170*z - 840. -5*(z - 28)*(z - 6) Let -5*y**2 + 420*y - 415 = 0. Calculate y. 1, 83 Suppose 5*a**2 - 920*a + 1820 = 0. Calculate a. 2, 182 Factor -4*q**3 + 200*q**2 - 548*q - 752. -4*(q - 47)*(q - 4)*(q + 1) Factor 3*c**4 - 15*c**3 - 54*c**2 + 384*c - 480. 3*(c - 4)**2*(c - 2)*(c + 5) Factor 4*y**2/7 - 942*y/7 + 1404/7. 2*(y - 234)*(2*y - 3)/7 Let 12*f**3 - 1749*f**2 - 2223*f + 2646 = 0. Calculate f. -2, 3/4, 147 Factor 3*k**3/4 + 1695*k**2/4 + 241941*k/4 + 710649/4. 3*(k + 3)*(k + 281)**2/4 Factor 3*l**4/7 - 12*l**3/7 - 3*l**2 + 30*l/7. 3*l*(l - 5)*(l - 1)*(l + 2)/7 Determine d so that 2*d**3/15 + 8*d**2/15 - 74*d - 780 = 0. -15, 26 Suppose -s**2/4 - 295*s - 87025 = 0. Calculate s. -590 Let -6*d**5 - 4*d**4 + 50*d**3 + 56*d**2 - 24*d = 0. Calculate d. -2, 0, 1/3, 3 Let q**3/3 - 8*q**2/3 - 3*q + 24 = 0. Calculate q. -3, 3, 8 Factor 2*m**4 + 8*m**3 + 6*m**2. 2*m**2*(m + 1)*(m + 3) Factor -2*y**3 + 30*y**2. -2*y**2*(y - 15) Let w**2 - 5*w + 4 = 0. What is w? 1, 4 Factor 255*c**2 + 755*c - 30. 5*(c + 3)*(51*c - 2) Find m such that 3*m**2 - 216*m + 3888 = 0. 36 Suppose -4*z**5 + 24*z**4 - 52*z**3 + 48*z**2 - 16*z = 0. Calculate z. 0, 1, 2 Factor -y**2/4 + 115*y/4 + 29. -(y - 116)*(y + 1)/4 Factor -o**3/4 - 203*o**2/4 - 10403*o/4 - 10201/4. -(o + 1)*(o + 101)**2/4 Factor 2*f**5 - 10*f**4 + 18*f**3 - 14*f**2 + 4*f. 2*f*(f - 2)*(f - 1)**3 Factor -2*w**3/3 + 1184*w**2/3 + 2*w/3 - 1184/3. -2*(w - 592)*(w - 1)*(w + 1)/3 Find p, given that 5*p**4 + 90*p**3 - 120*p**2 - 490*p - 285 = 0. -19, -1, 3 Factor 2*p**4/11 - 1698*p**3/11 + 480534*p**2/11 - 45330374*p/11. 2*p*(p - 283)**3/11 Solve -2*k**3/13 - 44*k**2/13 - 152*k/13 - 144/13 = 0. -18, -2 Determine d, given that 2*d**2/5 - 204*d/5 - 206/5 = 0. -1, 103 Find t such that 2*t**4 + 1268*t**3 + 198418*t**2 - 814088*t = 0. -319, 0, 4 Factor v**4/4 + 91*v**3/4 + 219*v**2/2 + 173*v + 86. (v + 1)*(v + 2)**2*(v + 86)/4 Factor 5*c**4 - 65*c**3 + 140*c**2 + 1020*c - 3600. 5*(c - 6)**2*(c - 5)*(c + 4) Factor 2*d**4/9 + 16*d**3/9 + 14*d**2/3 + 4*d. 2*d*(d + 2)*(d + 3)**2/9 Factor 2*v**3/3 - 50*v/3. 2*v*(v - 5)*(v + 5)/3 Factor -5*c**3/2 - 11*c**2 + 17*c/2 + 5. -(c - 1)*(c + 5)*(5*c + 2)/2 Factor 5*x**4 - 15*x**3 + 10*x**2. 5*x**2*(x - 2)*(x - 1) Factor -j**4/9 - j**3/9 + 2*j**2/3 + 4*j/9 - 8/9. -(j - 2)*(j - 1)*(j + 2)**2/9 What is n in -n**5/6 + 58*n**4/3 + 361*n**3/6 - 238*n**2/3 = 0? -4, 0, 1, 119 Factor 5*i**3 + 30*i**2 + 55*i + 30. 5*(i + 1)*(i + 2)*(i + 3) Factor z**2 + 3*z - 18. (z - 3)*(z + 6) Suppose -4*i**5 + 4*i**4 + 64*i**3 - 64*i**2 = 0. What is i? -4, 0, 1, 4 Factor -t**3/3 + 547*t**2/3 - 74528*t/3 - 75076/3. -(t - 274)**2*(t + 1)/3 Solve 3*l**4/2 - 82*l**3/3 - 51*l**2/2 + 64*l - 38/3 = 0. -2, 2/9, 1, 19 Factor -3*p**2/7 + 90*p - 4725. -3*(p - 105)**2/7 Factor 20*j**3 - 1232*j**2 - 5776*j - 2112. 4*(j - 66)*(j + 4)*(5*j + 2) Suppose -2*g**4 + 72*g**3 - 436*g**2 + 888*g - 522 = 0. What is g? 1, 3, 29 Factor 4*w**4 + 8*w**3 - 48*w**2 + 56*w - 20. 4*(w - 1)**3*(w + 5) Solve 5*p**2 - 490*p + 12005 = 0. 49 Solve -2*h**5/7 - 482*h**4/7 - 38396*h**3/7 - 984636*h**2/7 + 2086398*h/7 - 1062882/7 = 0 for h. -81, 1 Determine l, given that 3*l**4/5 + 39*l**3/5 - 42*l**2/5 = 0. -14, 0, 1 Find q, given that -q**4/5 + 196*q**3/5 - 1840*q**2 - 8000*q = 0. -4, 0, 100 Solve 3*i**4/2 + 75*i**3 + 1008*i**2 + 1728*i = 0. -24, -2, 0 Determine b, given that -9*b**5/5 - 33*b**4/5 + 513*b**3/5 - 591*b**2/5 - 36*b + 60 = 0. -10, -2/3, 1, 5 Let -2*r**2/7 - 132*r/7 + 272/7 = 0. Calculate r. -68, 2 Let -3*a**4/2 - 21*a**3 - 147*a**2/2 = 0. What is a? -7, 0 Factor -2*o**5 - 74*o**4 + 1398*o**3 - 8046*o**2 + 19332*o - 16848. -2*(o - 6)*(o - 3)**3*(o + 52) Factor x**3 - 9*x**2. x**2*(x - 9) Factor 2*p**5/7 - 2*p**4 + 20*p**3/7 + 36*p**2/7 - 54*p/7 - 54/7. 2*(p - 3)**3*(p + 1)**2/7 Suppose 2*u**2 + 208*u + 408 = 0. Calculate u. -102, -2 Factor -2*j**3/13 + 120*j**2/13 + 122*j/13. -2*j*(j - 61)*(j + 1)/13 Let -2*u**2/5 - 2222*u/5 + 4452/5 = 0. Calculate u. -1113, 2 Determine w so that w**4/3 + 11*w**3 + 139*w**2/3 - 11*w - 140/3 = 0. -28, -5, -1, 1 Determine c, given that -2*c**5/11 + 24*c**4/11 - 60*c**3/11 + 56*c**2/11 - 18*c/11 = 0. 0, 1, 9 Let 2*h**5 + 308*h**4 + 10202*h**3 + 87080*h**2 - 206008*h + 108416 = 0. What is h? -112, -22, 1 Solve 2*b**3/11 + 62*b**2/11 + 216*b/11 - 2880/11 = 0 for b. -24, -12, 5 Factor 2*k**2/7 - 1872*k/7 + 438048/7. 2*(k - 468)**2/7 Factor 2*c**2/1
{ "pile_set_name": "DM Mathematics" }
tive of -2978058*d**3*k + 2*d**3 + 3*d**2 - d - 79 wrt k? -2978058*d**3 What is the second derivative of 1309881*k**4 + 157268*k - 24? 15718572*k**2 Find the third derivative of -9*d*h**3*o*s - 756*d*h**2 + 2*d*o*s - 361*h**3*o + 62*h**3*s**2 + 2*h**2*o*s - 2*h**2*s**2 - 3*h*o*s**2 + 5*h*o wrt h. -54*d*o*s - 2166*o + 372*s**2 Differentiate -29810393*a**2*t**4 + 622667209*a**2 with respect to t. -119241572*a**2*t**3 What is the third derivative of 7835811*m**3 + 13803795*m**2? 47014866 Find the third derivative of 14054207*v**4 - v**2 + 32180*v + 4. 337300968*v Differentiate 14149792*m**2*w**2 - 3359829*m**2 wrt w. 28299584*m**2*w What is the third derivative of 9338682*g**4 - 803*g**2 + 10509*g wrt g? 224128368*g What is the first derivative of 7*l**3*x*z**3 - 12505350*l**3*x - 2*l**3*z**3 - 3*l**2*z**3 - 1327*l**2*z**2 + 2092*l*z**2 wrt x? 7*l**3*z**3 - 12505350*l**3 Find the second derivative of 4*c**2*r + 4809871*c**2 - 250029951*c*r - 3*r wrt c. 8*r + 9619742 Differentiate -1335952386*x - 660591668 wrt x. -1335952386 What is the second derivative of -377*r**5 - 866*r**4 - 2*r**3 - 5942155*r? -7540*r**3 - 10392*r**2 - 12*r What is the derivative of -123391*t**4 + 2*t**2 + 12569758 wrt t? -493564*t**3 + 4*t Find the third derivative of 26023293*x**4 - 2440044*x**2 - x + 3. 624559032*x Differentiate -3*h**3*x - 628986*h**2*x + h**2 - 4*x + 6225698 with respect to h. -9*h**2*x - 1257972*h*x + 2*h What is the derivative of 72298*f**4 - 25*f**2 - 2*f - 724795297 wrt f? 289192*f**3 - 50*f - 2 Find the third derivative of 3*p**6 + 691789*p**5 + 15266461*p**2. 360*p**3 + 41507340*p**2 Find the second derivative of -j**2*t**2 - 189*j**2*t - 144*j**2 - 1401*j*t**2 + 10*j*t + 3*j + 445*t**2 + t - 1 wrt t. -2*j**2 - 2802*j + 890 Find the third derivative of -26923*a*s*u**3 - 2*a*s*u + 6*a*s + 431*a*u**2 - 2*a*u - 991*s*u**3 + 2*s*u**2 + 7*s*u - s wrt u. -161538*a*s - 5946*s What is the derivative of -7087672*n**2*y**4 + 2834*n**2 - 983*n + 4*y**4 wrt y? -28350688*n**2*y**3 + 16*y**3 What is the second derivative of -4*f**3 - 1640780*f**2 - f - 36845566? -24*f - 3281560 What is the third derivative of -56926*c**5 + 8*c**4 + 6*c**3 + 252493484*c**2? -3415560*c**2 + 192*c + 36 Differentiate 2*i*k**2*t - 318*i*k**2 - 2*i*k + 27927118*i*t - 126*k**2 + 344*k with respect to t. 2*i*k**2 + 27927118*i What is the derivative of 199009872*a**2 - a - 279607300 wrt a? 398019744*a - 1 Find the third derivative of -60886015*u**6 - 1106397663*u**2. -7306321800*u**3 What is the derivative of 117*o**3 + 71760*o**2 - 26687230 wrt o? 351*o**2 + 143520*o Find the third derivative of -22197161*w**5 + 2*w**4 - 269726*w**2 - 470*w. -1331829660*w**2 + 48*w What is the first derivative of -5337777*c**3 + 9098912? -16013331*c**2 What is the derivative of 446*j**2 - 216*j - 2021950? 892*j - 216 What is the derivative of 7029*z**4 - 3*z**3 - 8*z**2 + 4*z - 14588823? 28116*z**3 - 9*z**2 - 16*z + 4 Differentiate 341*q**4 - 927*q**2 + 4*q + 4538012 with respect to q. 1364*q**3 - 1854*q + 4 Find the third derivative of -3061790*f**3 - 388*f**2 + 12*f + 41 wrt f. -18370740 What is the third derivative of -148568247*n**3*v**2 - 73845709*n**2*v**2 + 2*v**2 wrt n? -891409482*v**2 What is the second derivative of 275857*g**3 + 48*g**2*p**3 - 202*g*p**3 - 2*g*p**2 - g - 8*p**3 - 7*p**2 + 5*p wrt g? 1655142*g + 96*p**3 What is the second derivative of -6*d**3*j**3 - 23*d**3 - 15519*d**2*j**2 + 131201*d*j - 22*j**2 wrt j? -36*d**3*j - 31038*d**2 - 44 Differentiate -9755*d*o**3*p + 622*d*o*p**3 - 3*o**3*p**3 + 2*o**3*p - 306*o**2*p**3 - 5*o*p**2 - 251*p**3 with respect to d. -9755*o**3*p + 622*o*p**3 What is the second derivative of -2*p**3*w + 3*p**3 - 435391*p**2*w - 1962194*p*w - 2*p wrt p? -12*p*w + 18*p - 870782*w What is the third derivative of 29872*j**3*m**3 + 15*j**3*m - 84*j**3 + 26*j**2*m**3 + 3*j**2*m - 19*j**2 - 26*j*m**3 + j*m**2 - 83*j*m wrt j? 179232*m**3 + 90*m - 504 What is the third derivative of -56*a**3*h**2*u**3 + 30570*a**3*h**2*u + 359*a**2*h**2*u + 32*a**2*h*u + 2*h**2*u**2 - h*u**3 - 3*u**3 wrt a? -336*h**2*u**3 + 183420*h**2*u What is the first derivative of j**2 - 195017591*j - 275035575? 2*j - 195017591 Find the third derivative of -4198*d**5*y + 10829*d**3*p*y - d**2*p*y - 5*d**2*p - d**2 - 217*d*p*y + 2*d*p + 3*d + p wrt d. -251880*d**2*y + 64974*p*y What is the second derivative of 11*u**2*w*x**2 + 48*u**2*x**3 + 13967*u**2 + 206*u*w*x**3 + u*w*x**2 + 2*u*x**2 + 9113*u + w*x**3 + 2*w + x wrt u? 22*w*x**2 + 96*x**3 + 27934 Find the third derivative of -7565469*j**6 + 6403845*j**2 wrt j. -907856280*j**3 Find the third derivative of 414718*b*z**3 + 376*b*z**2 + 18*b*z + z**4 + 715*z**3 - 2*z**2 + 438*z wrt z. 2488308*b + 24*z + 4290 Find the third derivative of 11*a**2*g**3 + 19*a**2*g**2 + 11119*a*g**4 - 155*a*g**2 - a - 8*g**3 - 495*g wrt g. 66*a**2 + 266856*a*g - 48 Find the second derivative of 565822781*c**4 + 1049984985*c wrt c. 6789873372*c**2 What is the second derivative of -6677*b*f*x**2 + b*f*x - 990*b*f - b*x**2 + 2*b*x - 11*f*x**2 - 44*f*x + x**2 + 4 wrt x? -13354*b*f - 2*b - 22*f + 2 Differentiate 29*h**2*p + 102*h**2 - 33*h*p - 9*h - 88018648*p wrt h. 58*h*p + 204*h - 33*p - 9 What is the derivative of -43133*a**2 - 67*a - 47144997 wrt a? -86266*a - 67 Find the second derivative of -5276*c**2*q**3 + 22860*c**2*q**2 - 8*c**2 + 5195*c*q + 11*c + q wrt q. -31656*c**2*q + 45720*c**2 What is the second derivative of 256383904*i**2 - 654147356*i wrt i? 512767808 Find the first derivative of -2*i**2*o + 5*i**2 - 514*i*o + 2588*i - 195385644*o wrt i. -4*i*o + 10*i - 514*o + 2588 Differentiate -2*i*q**2 + 3*i*q - 168013*i + 1162*q**3 - 255*q - 209 with respect to q. -4*i*q + 3*i + 3486*q**2 - 255 What is the second derivative of 2858251*s**2 + 2832379*s? 5716502 What is the third derivative of 214835816*g**3 - 9317*g**2 + g + 9928 wrt g? 1289014896 What is the derivative of -26*w**4 - 30257*w**2 - 59*w - 259674063? -104*w**3 - 60514*w - 59 What is the derivative of 10055*c**2*n - c**2 + 3*c*n - 2*c + 1622*n - 2757484 wrt n? 10055*c**2 + 3*c + 1622 What is the third derivative of 6*f**5*k - 204*f**4*k + 61*f**3*s - 2*f**2*k*s - 23*f**2*k - 2*f**2*s - 2*f**2 + 10*f*k*s + 14*f - 85*k*s wrt f? 360*f**2*k - 4896*f*k + 366*s Find the second derivative of 165605*g**3*o**2 + 5*g**3 + 3*g**2*o**2 - g*o + 198*o**2 + 5969*o - 2 wrt g. 993630*g*o**2 + 30*g + 6*o**2 What is the derivative of -169*d**2 - 301689*d + 382731222? -338*d - 301689 What is the second derivative of -105676337*b**4 - 3*b**3 + 1458339195*b? -1268116044*b**2 - 18*b What is the first derivative of 4*i*l + 9*i - 99778963*l + 2233449 wrt l? 4*i - 99778963 Find the third derivative of 14985*i**5 + 12713596*i**2. 899100*i**2 What is the third derivative of 94076*l**4*m + 8*l**3*m**2 - 223376*l**2*m**2 + 5*m wrt l? 2257824*l*m + 48*m**2 What is the third derivative of 2*n**5 - 7992176*n**4 - 4600694*n**2 wrt n? 120*n**2 - 191812224*n Find the first derivative of 8585*c**2*n**3 + 762*c**2 - 6*n**3 + 30849*n**2 + 2*n + 2 wrt c. 17170*c*n**3 + 1524*c What is the derivative of 4*j**3 + 530792*j*z - 12879625*z wrt j? 12*j**2 + 530792*z What is the first derivative of -f**3*x - 43*f**3 - 219674*f**2 - 16857257*x**3 - 2 wrt x? -f**3 - 50571771*x**2 Find the second derivative of 73918630*v**2 + 212775881*v. 147837260 Find the third derivative of 24018328*f**2*s**3 + 22301*f**2 - f*s**2 + 2*f*s + 2*s**2 + 2*s - 1 wrt s. 144109968*f**2 Find the second derivative of -54685830*o**2 - 3982452*o - 17. -109371660 What is the second derivative of 175131*b*c**3 + 63*b*c**2 - 177886705*b*c + 3*c**4 wrt c? 1050786*b*c + 126*b + 36*c**2 Find the first derivative of -1035*m*o**3 + 42*m*o**2 + m*o + m - 8411*o**3 - 1575*o wrt m. -1035*o**3 + 42*o**2 + o + 1 Differentiate -26*c*s*z - 3*c*s - c*z - 949*c + 102821*s*z - 4*s - 7*z + 5812 wrt s. -26*c*z - 3*c + 102821*z - 4 Find the third derivative of -i**2*u**2*x**2 + 3*i**2*u**2*x + 4*i**2*x**3 - 3*i**2*x - 22974018*i*u**2*x**3 + 24*i*u**2*x + 2*u**2*x**2 + 6447*u**2 wrt x. 24*i**2 - 137844108*i*u**2 Find the third derivative of 881304*l*m**3 - l*m**2 + 237*l - 38*m**5 + 2*m**2 - 1299*m + 3 wrt m. 5287824*l - 2280*m**2 Find the second derivative of 127041326*n**2 - 939448697
{ "pile_set_name": "DM Mathematics" }
+ 3 - 2*l. What is the first derivative of j(w) wrt w? 2 What is the third derivative of -15*b**4 - 2*b**2 + 6*b**3 - 10*b**3 + 4*b**3 wrt b? -360*b Suppose 3*n + 3 = 9. Suppose -5*a = -3*g - 39, 4*g = -4*a + 19 - 7. What is the third derivative of i**6 + 5*i**2 - 2*i**a - 2*i**n wrt i? -120*i**3 Let i(v) = 2*v**2 - 5*v + 5. Let a be i(2). Find the first derivative of -5*n**a - 6*n**3 + 11*n**3 - 3*n**4 + 6 wrt n. -12*n**3 Let f(s) be the second derivative of -13*s**7/21 + 3*s**4/2 + 26*s. Find the third derivative of f(h) wrt h. -1560*h**2 Let a(k) be the third derivative of 0*k**5 - 1/120*k**6 + 0*k + 1/24*k**4 + 0 + 0*k**3 + 3*k**2. Find the second derivative of a(r) wrt r. -6*r Differentiate 17*d - 68 + 30 + 62 wrt d. 17 Find the third derivative of -22*p**3 - 16*p**3 + 6*p**4 + 32*p**2 - 2*p**4 + 50*p**3 wrt p. 96*p + 72 Find the third derivative of -3*k**3 + 22*k**3 + 62 + 3*k**2 - 62 wrt k. 114 Let c(i) = i**2 + i - 5. Let h be c(4). Suppose -3*a = -0*a - h. What is the third derivative of 0*z**2 - 4*z**2 + z**5 + 3*z**a wrt z? 240*z**2 Find the second derivative of -6*u**5 + 721 + 2*u - 721 + 2*u**5 wrt u. -80*u**3 Let a(w) be the third derivative of 13*w**8/336 - w**4/24 + 13*w**3/6 - 39*w**2. Find the second derivative of a(c) wrt c. 260*c**3 Let g be 10/(-35) + 60/14. Find the second derivative of -9*r - 4*r**4 + 3*r**5 + 4*r**g - 5*r**5 wrt r. -40*r**3 Let t(f) be the first derivative of 16*f**5/5 + 8*f**2 - 7. What is the second derivative of t(d) wrt d? 192*d**2 Let d(q) be the third derivative of -q**2 + 0 + 0*q - 1/8*q**4 - 1/2*q**3. Differentiate d(u) wrt u. -3 Let u(n) = -n**3 + 5*n**2 - 5*n + 6. Let j be u(4). Differentiate 4 + 3*x**2 - x**j - 5*x**2 - 2*x**2 wrt x. -10*x Let k(t) = -t**2 - 20. Let c(q) = -q**2 - 19. Let l(x) = -6*c(x) + 5*k(x). What is the first derivative of l(i) wrt i? 2*i Let g = 15 - 10. Let n = 7 - g. What is the third derivative of 0*w**2 - w**2 - n*w**2 + w**4 wrt w? 24*w Let k(f) = -f - 1. Let g(p) = 8*p - 3. Let a(j) = -g(j) - k(j). Differentiate a(u) with respect to u. -7 Differentiate -2*c**4 - c**4 - 87 - 2*c**4 + 88 wrt c. -20*c**3 Let j(h) be the second derivative of 29*h**5/20 + 9*h**2 - 41*h. Differentiate j(z) wrt z. 87*z**2 Let w(g) = 40*g**3 + 6*g**2 + 2. Let m(i) = i**3 + i**2 + 1. Let x(d) = -6*m(d) + w(d). Differentiate x(c) wrt c. 102*c**2 Find the second derivative of -5*z**2 - 11*z**2 - 7*z**2 - 5*z**2 - 13*z wrt z. -56 Let p(b) be the second derivative of b**9/5040 + b**5/30 + 5*b**4/12 + 4*b. Let a(h) be the third derivative of p(h). What is the derivative of a(y) wrt y? 12*y**3 Find the third derivative of 14*y**3 - 9*y**2 - y**2 - 2*y**2 wrt y. 84 Let r(w) be the third derivative of w**8/56 + w**4/3 - 5*w**2. Find the second derivative of r(a) wrt a. 120*a**3 Let f(b) be the third derivative of -b**6/24 + b**5/60 + 4*b**2. Find the third derivative of f(n) wrt n. -30 Let h = 13 - 11. What is the third derivative of 4*n**2 - n - n - n**3 + h*n wrt n? -6 Let k = -53/5 - -54/5. Let b(q) be the first derivative of 0*q + k*q**5 + 3/2*q**2 + 0*q**4 + 0*q**3 - 4. Find the second derivative of b(u) wrt u. 12*u**2 Let x(f) be the third derivative of -f**7/5040 - f**6/720 - f**5/30 + 2*f**2. Let t(z) be the third derivative of x(z). What is the derivative of t(s) wrt s? -1 Let o = -3 - -6. Suppose -o*u = -7*u. What is the second derivative of 5*d**4 - 4*d**4 + u*d - 2*d**4 - d wrt d? -12*d**2 Let f(j) be the third derivative of 3*j**6/40 - 7*j**4/12 + 5*j**2. Find the second derivative of f(n) wrt n. 54*n What is the third derivative of -21*h**2 + 22*h**2 + 10*h**5 + 22*h**2 wrt h? 600*h**2 Let f(j) be the third derivative of -j**9/504 + j**5/60 - 7*j**2. Find the third derivative of f(y) wrt y. -120*y**3 Let h(u) = -5*u**2 - 8*u - 2. Let y(m) = 21*m**2 + 33*m + 9. Let r(a) = 9*h(a) + 2*y(a). What is the second derivative of r(w) wrt w? -6 Let i = -27 + 28. Let n(f) be the first derivative of 0*f**2 + f - 4/3*f**3 - i. Find the first derivative of n(b) wrt b. -8*b Find the third derivative of 77*l**2 - 60*l**2 - 2*l - 2*l**3 + 2*l wrt l. -12 Let h(w) = 3*w**2 + 1. Let m be h(1). Suppose -m = -2*d + 2. Find the second derivative of k**3 + 7*k - 2*k**3 - 4*k + 0*k**d wrt k. -6*k Let m(g) be the first derivative of -6*g**5/5 + 3*g**3 - 10. Find the third derivative of m(f) wrt f. -144*f Let r = 7 + -4. Let l(z) = z**3 - 3*z**2 + 2*z - 4. Let o be l(r). What is the first derivative of o*i + 3 - 4 - 2 wrt i? 2 Let u(g) = -2*g**3 - 14*g. Let i(d) = 9*d**3 + 57*d. Let w(o) = 5*i(o) + 21*u(o). Find the second derivative of w(z) wrt z. 18*z Let r(f) be the third derivative of -11*f**8/336 - 7*f**4/24 + 29*f**2. What is the second derivative of r(u) wrt u? -220*u**3 Suppose 0*q + 4*q + u = -3, -13 = -q - 3*u. Let d be 12/(-15)*5/q. What is the third derivative of 5*g**2 - g**2 - d*g**6 - 2*g**6 wrt g? -480*g**3 Let z(n) be the second derivative of -n**4/4 - n**3/3 - n**2 + n. Let d(v) be the first derivative of z(v). Differentiate d(p) with respect to p. -6 Let u(v) be the first derivative of 0*v - 3/2*v**2 - 4 - 10/3*v**3. What is the second derivative of u(w) wrt w? -20 Let y(u) be the third derivative of 7*u**6/120 - u**5/10 - 8*u**2. Find the third derivative of y(f) wrt f. 42 Let h be -3 - (-5 - (-6 + 4)). Let k(y) be the third derivative of 1/60*y**5 + h*y**3 + 1/12*y**4 - y**2 + 0 + 0*y. Find the second derivative of k(v) wrt v. 2 Let k(n) be the third derivative of -1/8*n**4 + 0*n**3 + 0 + 3*n**2 + 1/120*n**6 + 0*n + 0*n**5. Find the second derivative of k(p) wrt p. 6*p Suppose 0*b = -b. Let q(d) be the second derivative of -1/12*d**4 - 1/6*d**3 + 0 + d + b*d**2. What is the second derivative of q(c) wrt c? -2 Let d(j) = -16*j**4 + 5*j**2 - 18*j + 5. Let o(c) = 15*c**4 - 4*c**2 + 18*c - 4. Let n(g) = 4*d(g) + 5*o(g). Find the second derivative of n(b) wrt b. 132*b**2 Let d = 12 - 10. What is the third derivative of 4*f**4 - 3*f**4 - 2*f**d + 2*f**4 wrt f? 72*f Differentiate -22*g + 5 - 7*g + 36*g wrt g. 7 Let l = -27 - -30. Differentiate 5*r**2 - l + 2 - r**2 - 2 wrt r. 8*r Let o(a) be the third derivative of 1/12*a**4 + 1/15*a**6 + 0*a**3 + 0*a + 3*a**2 + 0*a**5 + 0. Find the second derivative of o(j) wrt j. 48*j Let j(h) = 11*h**3 + 11*h**2 - 22*h - 11. Let s(o) = 5*o**3 + 6*o**2 - 11*o - 6. Let y(w) = 6*j(w) - 11*s(w). What is the second derivative of y(u) wrt u? 66*u Let v(m) = -17*m**4 - 6*m - 5. Let n(q) = -18*q**4 - 7*q - 6. Let x(y) = 5*n(y) - 6*v(y). Find the second derivative of x(j) wrt j. 144*j**2 Let k(u) be the third derivative of -7*u**6/60 - 25*u**4/24 - 27*u**2. What is the second derivative of k(o) wrt o? -84*o Let z(s) = -12*s**2 - 7*s. Let w(g) = 6*g**2 + 4*g. Let j(x) = 5*w(x) + 3*z(x). What is the second derivative of j(n) wrt n? -12 Let f(r) be the second derivative of -7*r**5/20 - 5*r**3/6 - 3*r. Find the second derivative of f(i) wrt i. -42*i Let l = -5 - -6. Differentiate 5*f + 2 - 1 + 1 - l with respect to f. 5 Suppose -2*w + 12 = -2*f, 3*f - 7 = 5*w - 27. Let m = 8 + f. What is the third derivative of 0*x**2 - 5*x**2 - m*x**3 + 4*x**3 + 3*x**2 wrt x? 6 Let r be 8/((-3)/((-3)/2)). Let f = r + -1. What is the second derivative of -3*j**4 + j**4 - f*j + 4*j wrt j? -24*j**2 Let u(s) be the third derivative of 1/24*s**6 + 0*s**4 + 0 + 0*s**5 - 8*s**2 + 0*s + 5/6*s**3. What is the derivative of u(j) wrt j? 15*j**2 Let q = -4 + 7. Suppose q*m - 12 = -3*r, 5*m - 26 = -4*r - 10. Differentiate 4*u**4 + 0*u**4 - r + 1 wrt u. 16*u**3 Let v be (8/12)/((-4)/66). Let g = -6 - v. Find the third derivative of -5*x**2 + 0*x**2 + 0*x**2 + 2*x**2 - 4*x**g wrt x. -240*x**2 Suppose 6 + 6 = 6*j. Let c(h) be the first derivative of 1/2*h**4 + 0*h**j - 1/3*h**3 + 0*h + 2. What is the third derivative of c(u) wrt u? 12 Let l(j) be the first derivative of -31*j**2/2 - 32*j + 47. Find the first derivative of l(v) wrt v. -31 Suppose 15 = 9*v - 6*v. Find the second derivative of -3*g - 5*g - g**2 - 2*g**2 + v*g wrt g. -6 Suppose -7 - 11 = -3*a. Find the third derivative of -9 + 3 + c**6 + a + 3*c**2 wrt c. 120*c**3 Let h(i) be the third derivative of -i**5/15 + 29*i**4/24 - 17*i**2. Find the second derivative of h(j) wrt j. -8 Let i = 3 + -3/2. Let d(p) be the first derivative of 2*p -
{ "pile_set_name": "DM Mathematics" }
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True Is 67 a factor of 2982873? False Is 18404329 a multiple of 1547? False Is 870 a factor of 356700? True Is 118 a factor of 4409163? False Does 72 divide 245215? False Is 2873187 a multiple of 267? True Does 331 divide 7105683? False Is 2117646 a multiple of 142? True Does 13 divide 78421? False Is 23 a factor of 23966? True Is 93193 a multiple of 41? True Is 9 a factor of 686322? True Does 1045 divide 2870615? True Does 1202 divide 3467459? False Does 16 divide 747584? True Does 444 divide 172272? True Is 8 a factor of 302009? False Is 2 a factor of 10013? False Does 18 divide 22212? True Is 157 a factor of 4799019? True Does 433 divide 794988? True Is 33 a factor of 144520? False Is 4 a factor of 11548? True Is 97 a factor of 1305? False Does 650 divide 4349800? True Does 275 divide 719290? False Is 40742 a multiple of 13? True Is 11 a factor of 428285? True Is 34 a factor of 518908? True Does 17 divide 514641? True Does 79 divide 474208? False Does 12 divide 1284367? False Is 147 a factor of 1122933? True Is 25 a factor of 202725? True Is 46639 a multiple of 67? False Is 41 a factor of 1749195? False Is 95612 a multiple of 82? True Is 891480 a multiple of 184? True Is 244952 a multiple of 5? False Is 855 a factor of 2178565? False Is 95648 a multiple of 16? True Is 691086 a multiple of 222? True Is 997277 a multiple of 83? False Is 30 a factor of 25609? False Is 3778434 a multiple of 99? True Is 6409464 a multiple of 174? True Does 105 divide 455903? False Is 244874 a multiple of 25? False Is 4460616 a multiple of 856? True Does 60 divide 78480? True Is 8612212 a multiple of 989? True Is 1211868 a multiple of 441? True Is 587007 a multiple of 9? True Is 12 a factor of 3669384? True Is 360 a factor of 5051880? True Is 205 a factor of 3807947? False Is 4 a factor of 99735? False Is 3 a factor of 24429? True Does 497 divide 418971? True Is 1097248 a multiple of 17? True Does 69 divide 31898? False Does 31 divide 233492? True Is 19 a factor of 145597? True Is 352625 a multiple of 160? False Is 88 a factor of 24200? True Is 15524 a multiple of 21? False Is 97 a factor of 16708291? False Is 5411966 a multiple of 1099? False Is 32 a factor of 4101056? True Is 2331876 a multiple of 13? False Does 24 divide 73800? True Is 428279 a multiple of 142? False Is 33096 a multiple of 17? False Is 2 a factor of 89884? True Does 110 divide 57642? False Does 26 divide 10394696? True Is 1451 a factor of 11727845? False Is 127 a factor of 161671? True Does 32 divide 61546? False Is 18 a factor of 1280592? True Is 3048668 a multiple of 28? True Is 16 a factor of 543680? True Does 103 divide 1443659? False Is 65076 a multiple of 187? True Is 459 a factor of 177021? False Is 23 a factor of 3975044? True Is 62 a factor of 296360? True Does 16 divide 157216? True Does 122 divide 2932856? False Is 157 a factor of 2639798? True Is 2114238 a multiple of 426? True Is 9 a factor of 8889? False Is 51 a factor of 1894956? True Does 118 divide 1534354? True Is 9834267 a multiple of 111? True Does 15 divide 660018? False Is 6626956 a multiple of 196? True Does 76 divide 841852? True Is 1746288 a multiple of 201? True Is 46 a factor of 22788078? True Is 32 a factor of 1277826? False Is 5 a factor of 545785? True Is 79991 a multiple of 30? False Does 959 divide 1528646? True Is 500916 a multiple of 228? True Is 8 a factor of 441944? True Does 1211 divide 5649077? False Does 13 divide 5459636? True Is 3551616 a multiple of 144? True Is 336 a factor of 7243967? False Is 9217895 a multiple of 451? False Is 1713361 even? False Is 3552854 a multiple of 10? False Does 241 divide 559374? False Does 68 divide 138008? False Is 287 a factor of 566731? False Is 3301650 a multiple of 319? True Is 13 a factor of 775285? False Does 234 divide 1437868? False Is 7 a factor of 816491? False Is 1170589 a multiple of 80? False Is 235184 a multiple of 42? False Is 9 a factor of 36999? True Is 9 a factor of 1176318? True Is 153 a factor of 434979? True Is 5022225 a multiple of 153? True Is 20 a factor of 141300? True Does 30 divide 285120? True Is 136 a factor of 586138? False Does 87 divide 444043? False Does 21 divide 18159771? True Is 2175656 a multiple of 47? False Is 80 a factor of 181520? True Is 291031 a multiple of 4? False Is 140420 a multiple of 295? True Is 4757348 a multiple of 17? True Does 5 divide 63771? False Is 37 a factor of 224183? True Is 103 a factor of 1368355? True Does 25 divide 3610126? False Does 710 divide 802300? True Is 562950 a multiple of 90? True Is 4421544 a multiple of 24? True Does 36 divide 297432? True Does 208 divide 166981? False Is 8573818 a multiple of 121? True Is 309 a factor of 201204? False Is 153 a factor of 5423513? False Is 213 a factor of 15906738? False Is 220746 a multiple of 6? True Is 1818193 a multiple of 315? False Is 290 a factor of 296035? False Is 5333598 a multiple of 1791? True Does 579 divide 5756418? True Does 198 divide 1935108? False Does 37 divide 825914? True Is 1236 a factor of 9762190? False Is 279052 even? True Does 255 divide 5238155? False Does 27 divide 4183596? True Is 450089 a multiple of 556? False Is 16 a factor of 132336? True Is 166630 a multiple of 24? False Is 58112 a multiple of 34? False Is 17 a factor of 6786? False Does 19 divide 277248? True Is 30869141 a multiple of 18? False Is 10 a factor of 419445? False Is 59 a factor of 1855686? False Does 206 divide 113484? False Is 525454 a multiple of 16? False Does 176 divide 3625433? False Is 52160 a multiple of 3? False Does 27 divide 183222? True Is 23 a factor of 82156? True Does 76 divide 20399692? True Is 23 a factor of 1719994? False Does 131 divide 6006874? True Does 359 divide 562774? False Is 240112 a multiple of 16? True Does 1060 divide 7133800? True Is 106151 a multiple of 10? False Is 631 a factor of 480822? True Does 183 divide 1019502? False Is 235532 a multiple of 1111? True Does 5 divide 270938? False Does 37 divide 304196? False Does 6 divide 782449? False Is 24 a factor of 302544? True Is 1950 a factor of 20000903? False Does 17 divide 10353239? False Is 3156390 a multiple of 765? True Does 15 divide 21966? False Does 73 divide 7415486? True Is 14605089 a multiple of 131? False Is 2948 a multiple of 44? True Is 8 a factor of 11385? False Does 18 divide 450648? True Is 297 a factor of 3984552? True Is 15 a factor of 119730? True Does 57 divide 346959? True Does 954 divide 953939? False Is 7 a factor of 3700349? False Is 40 a factor of 2490980? False Is 11735367 a multiple of 163? False Does 533 divide 282786? False Does 11 divide 974699? True Is 5 a factor of 32737? False Does 293 divide 961919? True Does 824 divide 1491440? True Does 170 divide 938570? True Is 273048 a multiple of 248? True Is 335160 a multiple of 152? True Is 317913 a multiple of 36? False Is 23 a factor of 98053? False Is 1047 a factor of 3545868? False Does 35 divide 175394? False Is 38 a factor of 4870612? True Is 3238637 a multiple of 23? False Is 1604226 a multiple of 786? True Is 41691 a multiple of 4? False Is 74 a factor of 33374? True Is 375951 a multiple of 37? False Does 16 divide 4739072? True Is 197730 a multiple of 507? True Is 50 a factor of 2442726? False Does 6 divide 334664? False Does 77 d
{ "pile_set_name": "DM Mathematics" }
4.13856? 277.655424 Product of 86.4919 and -0.082. -7.0923358 Work out 2583.3 * -54.545. -140906.0985 What is the product of -250 and 15.036? -3759 What is the product of -0.001743 and -1451? 2.529093 Multiply -7 and 331401.94. -2319813.58 -10 * -6690052 66900520 Multiply -1755.313 and -16. 28085.008 0.2 * -25191605 -5038321 1729*774592 1339269568 -0.3259 times 0.72181 -0.235237879 -664*28796 -19120544 What is 6.792314 times -7? -47.546198 -1999 times -562918 1125273082 0.2 times -1159942 -231988.4 -109.93 * -13.54 1488.4522 What is 0.726315155 times 0? 0 87913*-3.42 -300662.46 Multiply -251066 and 558. -140094828 Calculate -0.077189*-0.0282. 0.0021767298 -0.0092835966*0.4 -0.00371343864 What is 2 times -3406.09007? -6812.18014 Multiply 9004057 and 0. 0 -0.631565 * 0.115 -0.072629975 What is -7381144 times 17? -125479448 Multiply 0.3 and -34.281767. -10.2845301 What is the product of -302475 and -65? 19660875 What is -4733 times 1896? -8973768 Multiply 240234 and 29. 6966786 61916*-579 -35849364 623.786*293 182769.298 Work out 1196 * -6.0101. -7188.0796 Product of -1177.4064 and -12. 14128.8768 What is the product of -21180 and 107.8? -2283204 What is the product of -10 and 0.0618511? -0.618511 Work out -0.14731 * -162. 23.86422 Product of 0.715861923 and 0.3. 0.2147585769 -4 * -3.69921 14.79684 Work out 4 * -751.7994. -3007.1976 Multiply 21 and -91199.9. -1915197.9 -145 times 1297.2 -188094 Calculate 59652*-24.58. -1466246.16 Product of 2.1766 and -3459. -7528.8594 0.2200388*-34 -7.4813192 What is -100.6 times -118.13? 11883.878 What is the product of 90611540 and -0.5? -45305770 -0.03013378 * -22 0.66294316 Product of -652639 and -7. 4568473 Calculate 0.12606*-239. -30.12834 Product of -120.231996 and -6. 721.391976 What is -0.006377896 times 0? 0 Product of 3 and -12978525. -38935575 Product of -0.4 and -0.2254704. 0.09018816 Calculate -276537.61*2. -553075.22 What is 0.9554 times -2652? -2533.7208 Work out -140 * 115912. -16227680 Calculate 0.029966*-1.7. -0.0509422 What is 402 times -3525? -1417050 Calculate 1.79*0.030331. 0.05429249 Product of -107426 and -3941. 423365866 Calculate -0.1*0.61826487. -0.061826487 -834111 * -0.141 117609.651 Multiply 0 and -6019.553. 0 Multiply -0.092 and 23451.2. -2157.5104 -114 * 0.0131371 -1.4976294 Calculate 8011.556*2. 16023.112 What is the product of -15117303 and 0.1? -1511730.3 Calculate 6.398351*-0.2. -1.2796702 Multiply 6440702 and 0.02. 128814.04 0.02*2694122 53882.44 Multiply 2.85 and -0.801. -2.28285 4 times -43598.21 -174392.84 Work out -86.2 * 101. -8706.2 What is the product of 5.1547 and 0.56? 2.886632 Product of 51.89 and -131.45. -6820.9405 Multiply 566137522 and -0.4. -226455008.8 -2780*4589 -12757420 Work out -75 * 51308. -3848100 What is the product of 2 and -293112672? -586225344 Product of -545.9586 and 0.5. -272.9793 18366 times 47 863202 6186*18708 115727688 -6.9031 * 0.1373 -0.94779563 Multiply -493 and -0.10357. 51.06001 Calculate -5*22535318. -112676590 What is -0.981 times -495? 485.595 -1*-7.90173 7.90173 Multiply 0.05 and -53.13921. -2.6569605 What is the product of 0.5 and -3882718? -1941359 Work out -0.068634 * 5. -0.34317 Calculate 0.5*-18.885147. -9.4425735 What is the product of 7670067 and -24? -184081608 What is 65365 times 553? 36146845 What is the product of -9 and 0.011245872? -0.101212848 -213 times 0.4267 -90.8871 -0.52673*-7042 3709.23266 -0.1 times 2699540 -269954 -6 * 27508511 -165051066 Calculate 0.2*-1761.934. -352.3868 341.421 * -368 -125642.928 3*-0.877484 -2.632452 Calculate 2241*-53.8. -120565.8 What is the product of 9077738 and -0.5? -4538869 Work out -10 * -0.1147044. 1.147044 What is the product of 221 and 166? 36686 What is -3 times 2136608? -6409824 0.256 times 8.692 2.225152 Product of 41.69 and 0.126601. 5.27799569 What is the product of -793 and -660371? 523674203 Multiply 2 and 450847.13. 901694.26 0 times -5376248.1 0 695209.2*-0.1 -69520.92 Work out -2955 * 0.15. -443.25 Product of -49686542 and 0. 0 4 times -5278878 -21115512 What is the product of 27703.23 and 4? 110812.92 Product of -11739 and -220.66. 2590327.74 Product of -4.8 and 73.754. -354.0192 Multiply 0.041288502 and 0. 0 0.3*-3517757 -1055327.1 Calculate -6.2*-332132. 2059218.4 -65 * 349585 -22723025 Multiply -105.12 and -670. 70430.4 What is -6 times -13802053? 82812318 Multiply 0.2 and -38049879. -7609975.8 Product of -105.5 and 5.9041. -622.88255 -0.05*320.2062 -16.01031 Work out 28298283 * -0.09. -2546845.47 What is the product of -0.4 and 96.853? -38.7412 0.06166578*-1 -0.06166578 Calculate 3*-2050202. -6150606 -335910 times -650 218341500 138954 * 28 3890712 1322678 * -0.87 -1150729.86 Calculate -11886*520. -6180720 What is the product of -14654.9 and -57? 835329.3 What is -0.3 times -103665383? 31099614.9 Multiply -20381 and 17775. -362272275 What is the product of 61369080 and 1? 61369080 Calculate -2201687*1. -2201687 -18617*-0.0159 296.0103 -0.2 times 963639.4 -192727.88 7.19309 * -0.087 -0.62579883 142231.3 * -213 -30295266.9 0.164601 * -1038 -170.855838 What is the product of 3026.416 and 0.5? 1513.208 1830.8 * 2951 5402690.8 What is -604 times 1042820? -629863280 -34*-2.71224 92.21616 Multiply -176.64 and -161. 28439.04 -0.8246*-48 39.5808 What is 6 times -19804542? -118827252 Multiply -739 and 49282. -36419398 Product of 11575.1 and -0.04. -463.004 Calculate 48618*-7.98. -387971.64 Calculate 83.253*-802. -66768.906 Product of -2504.4 and -645. 1615338 -12*2115.37 -25384.44 -229295*0.091 -20865.845 Calculate -47*-2482915. 116697005 What is 0.02 times -0.32747809? -0.0065495618 1952*8021 15656992 Calculate 0.3*-9.3278063. -2.79834189 689877489 * 0 0 2*-368.8478 -737.6956 Product of 48417 and 208. 10070736 What is the product of -89762 and 105.3? -9451938.6 -14362872 * -2 28725744 Calculate 0.4*-39.284541. -15.7138164 What is the product of -2 and -25.65967? 51.31934 Multiply -381 and 0.4069. -155.0289 -2406.7*1.36 -3273.112 -0.5 times 0.00219874 -0.00109937 Work out -509 * -707328. 360029952 -13*-4008982 52116766 -4 * -4.05268 16.21072 What is 307 times 0.286? 87.802 Product of 0.0241 and 0.01429. 0.000344389 What is the product of -1448 and 1163? -1684024 Work out -242.34 * 0.0371. -8.990814 What is the product of -0.09 and 139.0479? -12.514311 Work out -113 * -7168.07. 809991.91 Work out -11329 * 597. -6763413 19*-0.614639 -11.678141 -9785084 * -0.5 4892542 6907*58483 403942081 What is the product of 3 and 14.079? 42.237 Multiply -1139615 and -0.0349. 39772.5635 Multiply 0.5 and 15958.11. 7979.055 Calculate -538.7*-43782. 23585363.4 What is the product of -42 and 0.0912794? -3.8337348 109771 times -0.05148 -5651.01108 Multiply -49573 and -278. 13781294 Multiply -22526215 and -0.3. 6757864.5 What is the product of -20.413 and 138? -2816.994 What is -2471681 times 141? -348507021 -1461.384 times 8 -11691.072 Product of 2 and -0.23633614. -0.47267228 What is -1.9 times -1143.97? 2173.543 What is 8782029 times 6? 52692174 -2685 times -26 69810 Calculate -1*-32144807. 32144807 Multiply -0.9 and -451290. 406161 -3 * 2141114 -6423342 What is 241166 times 127? 30628082 What is the product of -7349 and -504? 3703896 Calculate 4*-16113134. -64452536 Product of 2 and 1569484. 3138968 -0.1*3642796 -364279.6 Work out 28342426 * -0.3. -8502727.8 -0.1 times -9330184 933018.4 Calculate 2.274*185538. 421913.412 Calculate -0.1922451*29. -5.5751079 Product of 2000.653 and -0.1. -200.0653 -538724 times -15 8080860 What is the product of -2 and 36912417? -73824834 Calculate 159509147*-2. -319018294 -191030.22 * 5.1 -974254.122 -0.21*-2256709 473908.89 10*5663099 56630990 Multiply -0.33 and 6113938. -2017599.54 3 times 34580038 103740114 206935408 * 4 827741632 What is the product of 0.1 and 3632352? 363235.2 What is -1715 times -4.818? 8262.87 Calculate -39545*-400. 15818000 2 times -20025750 -40051500 -6219965*0.18 -1119593.7 Product of -47 and -284452. 13369244 -2.143*-673 1442.239 Work out -0.1 * 526712. -52671.2 Product of -0.02703 and 0.1456. -0.003935568 Calculate 33.6033*-1.3. -43.68429 What is the product of -26 and -5341306? 138873956 Work out -0.06 * 4422818. -265369.08 -503133112 * -3 1509399336 Product of 0.52287 and -345. -180.39015 Calculate -7635.8*-30. 229074 -1483383
{ "pile_set_name": "DM Mathematics" }
59). -6 Let q(d) = -d**3 - 140*d**2 - 27*d - 3779. What is q(-140)? 1 Let x(d) = -5*d**3 - 21*d**2 + 19*d + 38. Determine x(5). -1017 Let l(k) = 95*k + 6538. Determine l(-69). -17 Let c(k) = 44*k**3 + k**2 + 450*k - 452. Give c(1). 43 Let t(y) = y**3 - 21*y**2 + 79*y - 12. What is t(4)? 32 Let h(n) = -n**3 + 99*n**2 - 892*n + 193. What is h(89)? 15 Let v(g) = 3*g**2 - 4840*g - 24196. Give v(-5). 79 Let w(y) = -6*y**2 + 2*y - 33. Give w(-8). -433 Let f(p) = -p**3 + 11*p**2 + 53*p - 361. Give f(13). -10 Let f(m) = 40*m + 634. Give f(-17). -46 Let r(a) = -624*a - 10. Give r(0). -10 Let l(y) = -12*y + 343. What is l(22)? 79 Let b(m) = -6*m**2 - 30*m + 9. What is b(-4)? 33 Let z(w) = -w**3 - 26*w**2 - 61*w + 979. What is z(-21)? 55 Let r(a) = a**3 - 5*a + 229. Calculate r(0). 229 Let t(s) = s**3 - 81*s**2 - 346*s - 28. Determine t(-4). -4 Let q(s) = -70*s**2 - 91*s - 7. Determine q(0). -7 Let z(g) = -2374*g + 9458. Determine z(4). -38 Let q(w) = w**3 - 2*w**2 - 24*w - 66. Calculate q(8). 126 Let q(t) = 70*t + 10638. What is q(-152)? -2 Let b(w) = 28*w + 116. Give b(-6). -52 Let t(w) = w**3 - 49*w**2 + 133*w + 227. Determine t(46). -3 Let b(a) = 2*a**3 - 14*a**2 + 51*a - 298. Calculate b(7). 59 Let l(x) = -12*x**2 + 254*x - 36. Calculate l(21). 6 Let k(j) = j**2 - 51*j + 679. What is k(35)? 119 Let p(i) = -i**3 - 21*i**2 - 300*i - 7966. Determine p(-23). -8 Let z(k) = 12*k - 13. What is z(1)? -1 Let t(b) = -4*b**3 - 30*b + 107. What is t(4)? -269 Let v(d) = -2*d**3 - 13*d**2 - 5*d + 59. Give v(-5). 9 Let q(n) = 108*n - 5932. Give q(55). 8 Let d(y) = 81*y - 84. Determine d(0). -84 Let d(t) = t**2 - 169*t - 2888. What is d(-16)? 72 Let o(r) = r**3 - 23*r**2 - 7*r - 70. Calculate o(23). -231 Let y(s) = -487*s - 261. Calculate y(-3). 1200 Let y(k) = 6*k**2 + 71*k + 213. Calculate y(-5). 8 Let s(k) = -6*k**2 + 5*k + 13. Give s(4). -63 Let m(h) = -h**2 + 185*h - 3831. What is m(161)? 33 Let b(k) = -7*k**2 + 261*k - 1338. What is b(31)? 26 Let m(l) = 2*l**3 + 20*l**2 + 6*l - 21. Give m(-8). 187 Let z(m) = -823*m - 20578. What is z(-25)? -3 Let n(o) = -o**2 - 18*o + 432. What is n(-31)? 29 Let n(l) = l**3 + 14*l**2 - 34*l + 1. Calculate n(2). -3 Let g(l) = l**2 - 12*l - 89. Determine g(18). 19 Let b(h) = -84*h**2 - 3*h + 1. What is b(-1)? -80 Let s(l) = 765*l + 3096. What is s(-4)? 36 Let t(r) = -539*r + 1214. Determine t(2). 136 Let x(h) = h**3 - 26*h**2 + 46*h + 67. Determine x(24). 19 Let r(l) = -410*l - 34026. Determine r(-83). 4 Let t(g) = -16*g + 48. Give t(3). 0 Let s(b) = 18*b**2 + 668*b + 98. Calculate s(-37). 24 Let h(j) = j**3 - 33*j**2 + 20*j + 378. Give h(32). -6 Let v(j) = -2*j**3 + 145*j**2 - 215*j + 164. Calculate v(71). 22 Let b(g) = 2485*g - 7494. Determine b(3). -39 Let p(o) = o**2 - 81*o + 447. Give p(6). -3 Let l(p) = 2*p**3 - 5*p**2 + 2*p - 15. Give l(4). 41 Let k(j) = -j**3 + 58*j**2 + 59*j - 24. Determine k(59). -24 Let c(r) = -20*r**3 + 6*r**2 - 15*r + 13. Give c(3). -518 Let d(k) = 2*k**2 + 119*k - 169. Calculate d(-61). 14 Let i(u) = -u**3 + 34*u**2 - 62*u - 225. Calculate i(32). -161 Let o(a) = -183*a**2 - 1264*a + 135. Give o(-7). 16 Let k(s) = s**2 + 31*s - 3637. Determine k(47). 29 Let p(b) = b**3 - 18*b**2 - 248*b + 21. What is p(-9)? 66 Let m(i) = i**3 + 7*i**2 + 50*i + 451. Calculate m(-8). -13 Let p(y) = 23*y**3 - 208*y**2 + 5*y + 17. What is p(9)? -19 Let x(l) = -2*l**2 + 183*l - 718. What is x(4)? -18 Let l(y) = -17*y**2 + 41*y + 1134. Calculate l(-7). 14 Let y(k) = 474*k - 1894. What is y(4)? 2 Let j(y) = 3*y**3 - 73*y**2 + 29*y + 109. Give j(24). 229 Let d(k) = -k**3 - 30*k**2 - 192*k - 50. What is d(-13)? -427 Let q(c) = -241*c**2 + 11806*c + 148. Calculate q(49). 1 Let y(w) = -w**3 + 64*w**2 - 188*w + 146. Determine y(61). -159 Let b(i) = -11*i - 501. Determine b(-49). 38 Let x(l) = 603*l + 2422. Calculate x(-4). 10 Let r(a) = -2*a**2 - 207*a + 1286. What is r(6)? -28 Let m(n) = 3*n**3 + 15*n**2 + 7*n - 27. What is m(-4)? -7 Let y(r) = -r**3 - 15*r**2 - 36*r - 42. Give y(-11). -130 Let p(h) = -15*h**3 - 195*h**2 - 231*h - 3002. Calculate p(-13). 1 Let f(w) = -w**3 + 114*w**2 - 2770*w + 65. Calculate f(79). -330 Let p(o) = -33*o + 257. What is p(9)? -40 Let f(n) = 640*n + 7060. Determine f(-11). 20 Let b(h) = h**2 - 90*h + 812. Calculate b(10). 12 Let t(b) = b**2 + 10*b - 128. What is t(13)? 171 Let w(c) = -124*c + 4832. Calculate w(39). -4 Let u(b) = 14*b**2 - 50*b - 22. Calculate u(7). 314 Let g(k) = k**2 + 2*k - 18. Calculate g(-13). 125 Let h(i) = -3*i**3 - 44*i**2 - 168*i - 38. Calculate h(-7). 11 Let l(s) = 2*s**2 - 81*s + 446. Determine l(6). 32 Let y(r) = 153*r - 5641. What is y(37)? 20 Let r(g) = 100*g**2 + 504*g - 3. Give r(-5). -23 Let l(u) = -396*u**3 - u**2 + u + 4. What is l(-1)? 398 Let s(l) = 284*l**2 - 2275*l + 17. What is s(8)? -7 Let h(m) = -m**3 - 34*m**2 + 42*m + 254. What is h(-35)? 9 Let d(q) = 334*q + 50778. Give d(-152). 10 Let a(x) = -x**3 - 21*x**2 - 43*x + 65. Calculate a(-20). 525 Let s(x) = -2*x**2 + 1169*x - 3496. Calculate s(3). -7 Let h(y) = 4*y**2 - 131*y - 109. Determine h(35). 206 Let d(y) = y**3 - 2*y**2 + 28*y - 102. What is d(4)? 42 Let h(a) = 29*a**2 - 542*a - 69. Give h(19). 102 Let m(r) = 15*r - 47. Determine m(7). 58 Let n(u) = -49*u - 1517. Give n(-31). 2 Let s(m) = m**3 + 12*m**2 + 17*m + 28. What is s(-11)? -38 Let p(a) = -2112*a + 16902. Determine p(8). 6 Let t(d) = -d**2 + 837*d - 84245. What is t(117)? -5 Let b(l) = -3*l**3 - 30*l**2 + 26*l - 72. Determine b(-11). 5 Let l(v) = v**3 + 180*v**2 - 365*v - 194. Give l(-182). -12 Let b(h) = h**2 - 508*h + 24911. Determine b(55). -4 Let y(m) = -15*m**2 + 20*m + 193. Calculate y(-3). -2 Let m(p) = p**3 + 5*p**2 + 2*p - 21. Determine m(-3). -9 Let r(s) = -102*s - 6016. Calculate r(-59). 2 Let n(t) = 35*t + 368. Determine n(-14). -122 Let u(q) = q**3 + 6*q**2 - 5*q - 152. Determine u(0). -152 Let q(d) = 43*d - 944. Determine q(22). 2 Let z(u) = 23*u + 192. Determine z(-7). 31 Let d(z) = -1731*z - 6911. What is d(-4)? 13 Let d(b) = 3*b**3 - 11*b**2 + 11*b + 2. Calculate d(4). 62 Let h(s) = -44*s**3 - 3*s**2 + 11*s - 8. Give h(1). -44 Let c(n) = 4*n**2 + 125*n + 19. Give c(-31). -12 Let n(d) = -2*d**2 - 678*d - 3349. Determine n(-5). -9 Let j(r) = 2*r**3 + 12*r**2 - 36*r - 23. Give j(-8). 9 Let f(u) = -12*u**3 + 98*u**2 - 22*u + 48. What is f(8)? 0 Let a(u) = u**3 + 106*u**2 - 1016*u + 2187. Give a(-115). 2 Let f(u) = -100*u - 696. What is f(-7)? 4 Let n(o) = -36*o**2 - 953*o + 511. Give n(-27). -2 Let i(s) = -19*s - 2141. What is i(-113)? 6 Let x(d) = -d**3 - 13*d**2 + 28*d + 2. Determine x(-15). 32 Let m(r) = 36*r + 1799. What is m(-51)? -37 Let d(i) = -3*i**3 + 19*i**2 - 41*i + 8. Calculate d(6). -202 Let p(d) = 2*d**2 - 32*d - 16. What is p(16)? -16 Let x(c) = c**2 - 55*c - 640. What is x(59)? -404 Let m(w) = 383*w + 228. Calculate m(-1). -155 Let g(j) = -190*j - 2692. Determine g(-14). -32 Let r(u) = u**3 - 2*u**2 + 19. Give r(-3). -26 Let m(j) = 6*j + 37. Give m(-13). -41 Let j(r) = 40*r + 1327. Calculate j(-32). 47 Let s(i) = -673*i - 2023. Calculate s(-3). -4 Let u(v) = -3*v**2 + 184*v - 1963. Calculate u(14). 25 Let z(t) = -t - 128. Determine z(24). -152 Let r(s) = -s**3 - 6*s**2 + 21*s + 134. What is r(-4)? 18 Let o(h) = -1117*h - 4467. What is o(-4)? 1 Let l(k) = -k**3 - 13*k**2 + 17*k + 44. Give l(-14). 2 Let g(d) = d**3 - 6*d**2 + 7*d + 7. Give g(5). 17 Let l(u) = 28*u + 2941. Determine l(-105). 1 Let c(j) = j**2 - 8*j - 132. Give c(17). 21 Let f(z) = 11*z**2 + 50*z - 39. Determine f(-5). -14 Let t(y) = y**3 - 8*y**2 - 50*y + 447. What is t(8)? 47 Let b(m) = 21*m**2 + 52*m - 282. Determine b(-5). -17 Let d(b) = 47*b**3 - 2*b**2 - 31*b - 55. What is d(-2)? -377 Let d(h) = -639*h - 45361. Determine d(-71). 8 Let g(z) = z**3 + 13*z**2 - 42*z - 534. Calculate g(-13). 12 Let t(h) = -28*h**2 + 16*h - 17. Determine t(1). -29 Let r(k) = k**3 - 18*k**2 + 9*k + 5. Determine r(18). 167 Let r(z) = 66*z**2 + 19*z - 2. Calculate r(-1). 45 Let g(u) = 4*u - 244. Give g(-41). -408 Let z(y) = 416*y - 27065. Determine z(65). -25 Let p(f) = -10*f**2 + 2*f - 11. Calculate p(0). -11 Let p(q) = -q**3 + 21*q**2 - 16*q - 219. What is p(20)? -139 Let c(b) = -3*b**3 - 21*b**2 + 82*b - 55. Calculate c(4). -255 Let m(p) = 4*p**2 - 37*p - 327
{ "pile_set_name": "DM Mathematics" }
1/88 Four letters picked without replacement from lacaacawacll. What is prob of sequence cwll? 1/660 Two letters picked without replacement from {d: 2, l: 2, k: 1, c: 1, y: 2}. Give prob of sequence cl. 1/28 Two letters picked without replacement from dswywddyiy. What is prob of sequence sy? 1/30 Four letters picked without replacement from {j: 2, l: 2, z: 2}. Give prob of sequence zzzz. 0 Two letters picked without replacement from {e: 4, v: 3}. What is prob of sequence ee? 2/7 What is prob of sequence zzz when three letters picked without replacement from fzfzffz? 1/35 Three letters picked without replacement from {u: 2, b: 11}. What is prob of sequence ubb? 5/39 What is prob of sequence piy when three letters picked without replacement from iyiplip? 1/35 Calculate prob of sequence iaa when three letters picked without replacement from {a: 3, e: 1, n: 2, i: 1}. 1/35 What is prob of sequence vmr when three letters picked without replacement from rmwrrvrmww? 1/90 Three letters picked without replacement from vavlglo. What is prob of sequence lgv? 2/105 What is prob of sequence kye when three letters picked without replacement from kklekkekkeeltyekk? 1/102 Calculate prob of sequence inn when three letters picked without replacement from nnyyiyny. 1/56 Three letters picked without replacement from xzgsm. Give prob of sequence xzm. 1/60 Four letters picked without replacement from fvkfekeetvvxeffkk. Give prob of sequence kxve. 1/1190 Two letters picked without replacement from {c: 3, t: 2, e: 1, p: 7, d: 1}. What is prob of sequence pt? 1/13 Two letters picked without replacement from uuue. Give prob of sequence eu. 1/4 Calculate prob of sequence nns when three letters picked without replacement from nnnsnnnssn. 7/40 Calculate prob of sequence hww when three letters picked without replacement from {w: 3, h: 9}. 9/220 Calculate prob of sequence wwv when three letters picked without replacement from {w: 4, q: 6, v: 2}. 1/55 Three letters picked without replacement from {q: 6, f: 4, p: 2}. Give prob of sequence fqf. 3/55 Four letters picked without replacement from ninovovoxonoox. Give prob of sequence xnvo. 3/1001 Two letters picked without replacement from {k: 1, q: 1, x: 1, z: 1, m: 1}. What is prob of sequence mz? 1/20 Four letters picked without replacement from {c: 3, f: 1, j: 1}. Give prob of sequence fjcc. 1/20 Four letters picked without replacement from {r: 2, y: 2, o: 1, i: 1, p: 2}. Give prob of sequence ypip. 1/420 Three letters picked without replacement from gkkkkxkxkqkx. Give prob of sequence xqx. 1/220 Calculate prob of sequence tcqp when four letters picked without replacement from pmmmmtqmcqqm. 1/3960 Three letters picked without replacement from {f: 7, l: 4, t: 3, k: 1, m: 2}. Give prob of sequence fft. 21/680 Calculate prob of sequence uull when four letters picked without replacement from luullu. 1/10 Calculate prob of sequence uj when two letters picked without replacement from fzvvzfjfnjfu. 1/66 Four letters picked without replacement from jrjrr. Give prob of sequence jrjr. 1/10 Three letters picked without replacement from {s: 1, m: 1, t: 3, y: 3, k: 2}. What is prob of sequence tsm? 1/240 Two letters picked without replacement from {t: 2, p: 3, s: 1, r: 4, e: 1}. What is prob of sequence te? 1/55 Two letters picked without replacement from ddoec. Give prob of sequence dd. 1/10 Four letters picked without replacement from apapttaatattnpa. Give prob of sequence aant. 5/1092 Two letters picked without replacement from dqqqvjqdqqqv. Give prob of sequence vv. 1/66 Three letters picked without replacement from {k: 2, a: 2, z: 2, h: 1, q: 5, s: 1}. Give prob of sequence kks. 1/858 Calculate prob of sequence ppdm when four letters picked without replacement from pkmmpopodpho. 1/495 Three letters picked without replacement from {z: 4, n: 14}. What is prob of sequence znn? 91/612 Four letters picked without replacement from mmrmuummmmrmm. What is prob of sequence uuur? 0 What is prob of sequence zo when two letters picked without replacement from ziioziozzzzozzzzzzoz? 13/95 What is prob of sequence oajo when four letters picked without replacement from oajajcocacaaacaaaj? 1/1360 What is prob of sequence ff when two letters picked without replacement from kkffffffkk? 1/3 Calculate prob of sequence kkai when four letters picked without replacement from {i: 5, a: 5, k: 2}. 5/1188 What is prob of sequence mk when two letters picked without replacement from mmmk? 1/4 What is prob of sequence mhvm when four letters picked without replacement from {y: 3, v: 2, f: 8, m: 2, h: 1, j: 1}? 1/14280 Four letters picked without replacement from {v: 1, q: 1, x: 2, l: 3, b: 4, d: 1}. What is prob of sequence vlqb? 1/990 What is prob of sequence iiii when four letters picked without replacement from wiiiwwiiiiiwwwwwwiii? 22/323 Calculate prob of sequence gog when three letters picked without replacement from ggogoooggoogggggggg. 52/323 Calculate prob of sequence jey when three letters picked without replacement from yececccj. 1/168 Calculate prob of sequence uu when two letters picked without replacement from {d: 3, u: 4, o: 4}. 6/55 What is prob of sequence gi when two letters picked without replacement from ggibg? 3/20 What is prob of sequence mqd when three letters picked without replacement from {q: 1, m: 1, d: 2}? 1/12 Two letters picked without replacement from {q: 1, a: 9, u: 2, f: 1, l: 1, i: 1}. Give prob of sequence aq. 3/70 Three letters picked without replacement from {t: 1, k: 2, y: 2}. Give prob of sequence kky. 1/15 What is prob of sequence oo when two letters picked without replacement from azzezazzesazaoozzzz? 1/171 Four letters picked without replacement from {i: 5, z: 3, x: 2, v: 1, o: 1}. Give prob of sequence vxio. 1/1188 Four letters picked without replacement from xcbxb. What is prob of sequence xxcb? 1/30 Two letters picked without replacement from {o: 11, i: 1}. Give prob of sequence io. 1/12 What is prob of sequence ii when two letters picked without replacement from iiaaa? 1/10 Three letters picked without replacement from jdjdjdjjdjdjjddjdjd. Give prob of sequence ddd. 28/323 Calculate prob of sequence td when two letters picked without replacement from {z: 2, j: 1, d: 1, t: 1}. 1/20 Four letters picked without replacement from xkkxxkxx. Give prob of sequence xxkx. 3/28 Three letters picked without replacement from {e: 4, a: 1, z: 2}. What is prob of sequence zee? 4/35 Three letters picked without replacement from {g: 1, p: 2, s: 2}. Give prob of sequence gpp. 1/30 What is prob of sequence vj when two letters picked without replacement from {j: 5, v: 2, w: 1, g: 11}? 5/171 Three letters picked without replacement from {j: 2, m: 2, s: 1, a: 1}. What is prob of sequence jaj? 1/60 Three letters picked without replacement from {u: 3, v: 4}. Give prob of sequence vuu. 4/35 Calculate prob of sequence ff when two letters picked without replacement from rrnzrrnrnrffz. 1/78 Calculate prob of sequence uuuv when four letters picked without replacement from {u: 11, v: 9}. 99/1292 Calculate prob of sequence innp when four letters picked without replacement from pnnppnppnnpnpnpnppip. 77/14535 Calculate prob of sequence myms when four letters picked without replacement from suyvysmsmyyssttyyys. 7/7752 What is prob of sequence mx when two letters picked without replacement from mxmaxxexya? 4/45 Three letters picked without replacement from {h: 2, z: 1, q: 1, n: 1}. Give prob of sequence nhq. 1/30 Two letters picked without replacement from {l: 1, m: 1, b: 9, u: 2, z: 4}. What is prob of sequence uz? 1/34 Two letters picked without replacement from sppspppppppppppspsp. What is prob of sequence ss? 2/57 Two letters picked without replacement from ilflllelqllfllleeii. What is prob of sequence fl? 10/171 Calculate prob of sequence kp when two letters picked without replacement from otkprpto. 1/28 Three letters picked without replacement from jfifffofflfjltlooj. Give prob of sequence ifj. 7/1632 Four letters picked without replacement from {q: 3, h: 3}. What is prob of sequence hhqh? 1/20 Four letters picked without replacement from {u: 4, y: 1, h: 5}. Give prob of sequence uyyu. 0 Four letters picked without replacement from eeeeeeeeeeepp
{ "pile_set_name": "DM Mathematics" }
r(z)? -1 Let m(t) = 4*t. Let u(r) = -2*r**3 + 4*r**2 - 3*r. Let f be u(3). Let y = -28 - f. Determine m(y). -4 Let r(b) = -b + 6. Let q be 12/(-9)*9/(-2). Let x be r(q). Let t(p) = 6*p + 2. Let u(o) = -o. Let l(m) = t(m) + 5*u(m). Give l(x). 2 Suppose -2*a - 2*d - 16 = 8, 3*d = -4*a - 48. Let z = -9 - a. Let w(c) be the second derivative of -c**3/2 + c**2/2 + c. Calculate w(z). -8 Let r(s) = -s**2 + 6*s + 9. Let p be r(7). Let y(h) = h**3 + h**2 + 2*h - 3. What is y(p)? 13 Let t(f) be the second derivative of -f**5/20 + 5*f**4/12 + 5*f**3/6 + 7*f**2/2 + 2*f - 13. Let a(m) = -m**3 + 5*m**2 - 4*m + 6. Let j be a(4). Determine t(j). 1 Let f(i) = -13*i + 5 - 2*i + i. Let s(t) = -5*t + 2. Let u be 3*(3 - (-6)/(-3)). Let h(d) = u*f(d) - 8*s(d). Determine h(1). -3 Let v(r) = -3*r**2 + r + 1. Let w(n) = n - 5. Let z be w(4). Calculate v(z). -3 Suppose 0 = -4*w - 5*s + 23, -2*s = -0*s - 6. Suppose 0 = w*z - 3*l + 11, 3*z + 3*l + l - 26 = 0. Let d(h) = h**2 + 3*h - 3. Determine d(z). 7 Suppose 2*z = 3*z. Let r be (-2)/(-6) + (-30)/9. Let h(k) = -3*k**3 - 8*k**2 - 2. Let c(v) = -v**3 - 3*v**2 - 1. Let u(f) = r*h(f) + 8*c(f). Give u(z). -2 Let g(l) = -l**2 + l + 5. Suppose -5 = -2*j + 5. Determine g(j). -15 Let n(v) be the third derivative of -v**5/6 + v**4/24 + v**3/6 - 7*v**2. Determine n(-1). -10 Let h be (6/(-12))/((-2)/(-16)). Let f = -3 - h. Suppose -2*y - f = -11. Let q(m) = m + 2. Determine q(y). 7 Let q(k) be the second derivative of -k**5/20 - k**4/6 - k**3/3 + k**2/2 - 6*k. Determine q(-2). 5 Suppose 8 = -3*l + 2*l + 2*v, 2*v - 8 = -l. Let d(r) = -13*r**2 + 2 + 4*r + l + 16*r**2. Give d(-2). 6 Let q(u) = -u - 7. Let x = 53 - 62. What is q(x)? 2 Let w(b) = -2*b + 1. Let i be w(-1). Suppose 0*c = -i*c. Suppose c = -o - o - 8. Let n(u) = u - 3. What is n(o)? -7 Let t(l) = l**2 + 2*l - 2. Let g(n) = n**2 + 10*n - 3. Let z(v) = -4*v - 2. Let u be z(2). Let x be g(u). Determine t(x). 1 Let k(g) = -3*g**3 + 9*g**2 + g + 9. Let r(z) = -z**3 + 1. Let d(p) = -k(p) + 4*r(p). Calculate d(-9). 4 Let i(h) = h**3 + 10*h**2 + 9*h + 6. Let j be i(-9). Let n(u) = -j + u**3 + 2*u - 3*u - 1. What is n(0)? -7 Let g = -4 + 9. Suppose g*a - 3*a = 0. Let j(f) be the first derivative of -f**2/2 - f - 18. Calculate j(a). -1 Suppose 1 + 7 = -4*o. Let l(n) = 2*n + 2. What is l(o)? -2 Let l(s) be the second derivative of s**4/12 + s**3 + 3*s**2/2 - s. Suppose 2*x - 3*p = x - 15, -4*x + 10 = 2*p. Let m = x + -4. Determine l(m). -5 Suppose -m + 18 = 3*r + 3*m, -5*m - 12 = -2*r. Let u(p) = p**3 - 7*p**2 + 6*p - 8. What is u(r)? -8 Suppose n + 8 = -3*n, 5*d = -n - 2. Let o(a) = d + 1 - a**2 - a**2 + 4*a**2. Determine o(1). 3 Let w(y) be the second derivative of y**5/20 - y**4/3 + y**3/2 - y**2/2 - 11*y. Give w(3). -1 Let x(a) = -a**2 - 8*a - 7. Let l(o) = -o - 17. Let f be l(-10). Determine x(f). 0 Let p(v) be the third derivative of 0 + 1/60*v**5 - v**2 + 0*v + 0*v**3 + 1/12*v**4. What is p(-2)? 0 Let q(h) be the first derivative of -h**3/3 - 4*h**2 + 6*h + 1. Let a be q(-9). Let d(u) = u + 5. Give d(a). 2 Let g(a) be the third derivative of -a**6/120 + 2*a**5/15 - a**4/4 - a**3/6 - 27*a**2. Calculate g(7). 6 Let d(n) be the first derivative of n**4/12 - 5*n**3/6 + n**2 + 2*n + 3. Let v(t) be the first derivative of d(t). What is v(3)? -4 Let h(c) = c**2 + 4*c - 2. Let i be h(-5). Let m(n) = -i*n - n - 6*n**3 + 5*n. Let u = 1 + -2. Give m(u). 5 Let y(z) = -z**3 - 6*z**2 - 4*z + 3. Let j = -117 - -113. Give y(j). -13 Let g(t) = -t**2 + 3*t**2 - 2*t - 5*t - 3*t**2 + 5. What is g(-8)? -3 Suppose 5*j + 29 = -4*i, 4*j + 17 = 4*i + 1. Let o(m) = -2*m - 5. What is o(j)? 5 Let z(d) = -19*d**2 + 7*d - 6. Let a(v) = 20*v**2 - 8*v + 7. Let s(t) = -6*a(t) - 7*z(t). Suppose -3*r + 522 - 525 = 0. Calculate s(r). 14 Let a(l) = l**3 + l**2 - l - 1. Let n(u) = 5*u**3 + u**2 - 8*u - 5. Let b(r) = 6*a(r) - n(r). What is b(-4)? 7 Suppose -t - 8 = -2*t - 2*l, -t + 4*l - 10 = 0. Let z(c) be the second derivative of c**5/20 - c**4/6 - c**3/2 + c**2/2 - c. Give z(t). -5 Let v(b) = 16*b**2 - 2*b + 1. Suppose 0 = -p - 1, 4*u - 11 + 9 = -2*p. What is v(u)? 15 Let q(u) = u**2 - u - 1. Let i be (9/(-6))/(2/(48/(-9))). Determine q(i). 11 Let o be 6/5 - (-1)/(-5). Let i(x) be the third derivative of -x**6/40 + x**5/60 + 2*x**2. Calculate i(o). -2 Suppose 6 = -12*v + 18*v. Let t(g) = 11*g**2 - g + 1. Determine t(v). 11 Let q(r) = -6*r + 20. Let x(p) = 2*p - 7. Suppose 5*g - 2*h + 60 = 6*g, 0 = -2*g + 4*h + 152. Suppose 2*b = 6*b + g. Let c(z) = b*x(z) - 6*q(z). Calculate c(4). 7 Let k(b) = b**3 - 3*b**2 - b - 2. Let r(h) = -h**3 - 2*h**2 - 5. Let z be r(-3). Suppose i - z = -1. Determine k(i). -5 Let s(h) be the third derivative of h**4/12 - 13*h**3/6 - 50*h**2. Determine s(9). 5 Let l(b) = 7*b**3 + 8*b**2 + b - 1. Let h(d) = -3*d**3 - 4*d**2. Let x(k) = 9*h(k) + 4*l(k). Determine x(3). -1 Let r(x) = 3*x**3 + 27*x**2 - 23*x - 23. Let c(o) = -4*o**3 - 40*o**2 + 34*o + 34. Let f(m) = -5*c(m) - 7*r(m). Calculate f(10). 1 Let w(y) = -y**2 + y + 13. Let i(j) = -2*j**2 + 3*j + 27. Let v = 10 - 23. Let g(t) = v*w(t) + 6*i(t). Determine g(-5). -7 Let q(t) = -5*t + 4*t - 2 + 3 + 1 - 3*t**2. Calculate q(-2). -8 Let o(i) = i**3 - 6*i**2 - 7*i + 4. Let q be o(7). Let n(p) = p - 4. Determine n(q). 0 Suppose -2*h = -3*h - 1. Let j be h - (0 - -2 - 7). Let y be (j/(-2))/(4/10). Let a(o) = -o. Calculate a(y). 5 Let p(x) be the first derivative of -x**4/2 - x**3/3 + x**2 - x + 2. Suppose -4*g + 7*g = 3. Calculate p(g). -2 Let g(w) = w + 1. Let j(f) = 6*f + 7. Let r(p) = -4*g(p) + j(p). Give r(-5). -7 Let k(o) = -o - 4. Let w be k(-6). Let j(d) = w*d - 1 + 1 - 2. Calculate j(2). 2 Let n(r) = -r**3 - 5*r**2 + 7*r + 9. Let p be n(-6). Let z(x) = -2*x + 2*x**p - 2*x**2 + 0*x**3 - x**3 - 4. Let i(c) = 2*c + 1. Let v be i(1). Calculate z(v). -1 Let z(v) = -v**3 - v**2 + 3*v + 3. Let i be z(-2). Let d(y) = -2*y - 5*y - i + 5*y. Suppose 5*s + 8 + 12 = 0. Calculate d(s). 7 Let n(i) = i - 4. Let v be (12/16)/((-1)/(-8)). Suppose 3*c + 9 = v*c. Calculate n(c). -1 Let j(l) = 3*l**2 + 8*l + 5. Suppose 7*d - 2*d = 10. Let n(p) = p**2 + 4*p + 3. Let g(i) = d*j(i) - 5*n(i). What is g(5)? 0 Let d(j) = j - 5. Let y(z) = z**3 - 10*z**2 - 10*z - 5. Let w be y(11). Let v be 20/w*6/4. Determine d(v). 0 Let r = -4 + 12. Suppose 0 = k + 2*i - r, 5*k - 5*i = -3 - 2. Let l(u) = u - 2. Give l(k). 0 Let y = -10 + 17. Let v = y + -6. Let l(p) = -2*p. Determine l(v). -2 Let j = -5 + 16/3. Let l(r) be the first derivative of -3 + 0*r**2 + j*r**3 + 10*r. Calculate l(0). 10 Let v(f) = -3 - 4 + 3 + f + 2. Suppose 3*s + 6 + 9 = 0. Give v(s). -7 Let a(n) be the second derivative of n**4/12 - n**3/6 - n**2 + 44*n. What is a(-3)? 10 Let l(g) be the second derivative of -g**3/6 - g**2/2 - 59*g. Give l(-10). 9 Let m(v) = -4*v + v**3 - 2 + 2*v**3 - 4*v**3 - 6*v**2. Give m(-5). -7 Suppose -2*p = -4*p. Suppose p = -2*s - 3*h + 8, 0*s - h = 2*s. Let k(y) = y**2. What is k(s)? 4 Let d = 12 + -16. Let j(u) be the first derivative of u**4/4 + 4*u**3/3 - 3*u - 1. What is j(d)? -3 Let z(w) be the first derivative of -w**3/3 - w**2/2 + 5*w - 5. Calculate z(0). 5 Let g be 3/2*(12 + 2). Let d(w) = w**2 + 4*w - 4. Let f be d(-5). Suppose -g = -4*o - f. Let n(q) = q**3 - 6*q**2 + 4*q. What is n(o)? -5 Let h(l) = -2*l + 8 + 6*l - 9*l - l + l**2. Determine h(6). 8 Let v(i) = -8 - 2*i + 3*i - 3 + 9 - i**2. Suppose 5*p + 30 = -0*p. Let a be (-4)/p - (-4)/(-6). Give v(a). -2 Suppose -4*w + 10 = w. Let d(n) be the first derivative of 10*n + 1 - 1/2*n**w. Determine d(0). 10 Let t(v) be the second derivative of -v**5/20 - 5*v**4/12 - v**3/3 - v**2 - 2*v. Let r = -5 - -10. Suppose -3*q - 3*p - 18 = -p, -3*q + r*p + 3 = 0. Give t(q). -10 Let h(c) be the second derivative of -c**5/20 - 7*c**4/12 + c**3/3 + 9*c**2/2 + 2*c. Determine h(-7). -5 Let s(c) be the second derivative of c**3/6 + 7*c**2/2 + 6*c. Give s(0). 7 Let m(g) be the first derivative of g**3/3 - g**2 - 5*g + 1. Let u be m(4). Let i(t) = -2*t + 3. Calculate i(u). -3 Let x be 2/(-6)*(-44 + -1). Let o(i) = 6 - x + 6*i + 2 + i**2. Give o(-6). -7 Let b(c) = c**2 + 4. Let v(i) = 1. Let x(o) = -2*b(o) + 10*v(o). Calculate x(2). -6 Let s(c) be the first derivative of c**4/4 + 2*c**3/3 - c - 14. Determine s(1). 2 Let x(u) = -u*
{ "pile_set_name": "DM Mathematics" }
0 - 10 + 6*r - r. Determine c(p(u)). -25*u**2 Let g(i) = -i**2. Let m(d) = 2*d + 7. Let k = 2 - 9. Let v(b) = b + 4. Let z(f) = k*v(f) + 4*m(f). What is g(z(x))? -x**2 Let k(t) = 2*t**2 - 8*t - 8. Let m(a) = -a**2 + 5*a + 5. Let q(s) = -5*k(s) - 8*m(s). Let y(x) = 13*x. Determine q(y(c)). -338*c**2 Let t(c) = 3*c**2. Let v be (-3)/(-2)*(-12)/(-9). Let k(d) be the third derivative of -v*d**2 + 1/60*d**5 + 0 + 0*d**4 + 0*d**3 + 0*d. What is k(t(q))? 9*q**4 Let p(u) be the first derivative of -5*u**3/3 - 2. Let d(s) be the third derivative of -s**5/30 + 2*s**2. Give p(d(w)). -20*w**4 Let g(z) = 9*z. Let l(b) be the second derivative of -b**3/6 - 10*b. Give l(g(d)). -9*d Let i(o) = 3*o**2. Let y(z) = 3*z**2 - 11*z**2 - z**2. Calculate y(i(d)). -81*d**4 Let r(q) = 4*q**2. Let w(d) = -5*d + 12*d - 5*d + d. Calculate r(w(k)). 36*k**2 Let x(c) = 3*c**2 - 3*c + 3. Let f(s) = s - 1. Let k(z) = 3*f(z) + x(z). Let b(i) = 2*i. Give b(k(g)). 6*g**2 Let n(c) = -c - 1. Let u(h) = -h - 3*h - 1 + 3*h - 1. Let o(p) = 2*n(p) - u(p). Let q(f) = -f**2. What is q(o(k))? -k**2 Let m(u) = 3*u**2 - 6*u**2 + 0*u**2. Let y(c) = 2*c - 44 + 44. Calculate y(m(t)). -6*t**2 Let t(l) = -9*l**2. Let f(h) = 6*h**2 - 8*h**2 - 2*h**2 + 2*h**2. What is t(f(v))? -36*v**4 Let q(r) = r**2. Let h(s) = -33*s - 5. Let c(l) = -16*l - 2. Let x(u) = -5*c(u) + 2*h(u). Calculate x(q(m)). 14*m**2 Let z(h) = 5*h. Let b(w) = -2*w**2 + 8*w**2 - 7*w**2. Determine b(z(o)). -25*o**2 Let x(m) = -13*m**2 + 5*m - 5. Let i(k) = -32*k**2 + 12*k - 12. Let f(q) = -5*i(q) + 12*x(q). Let l(g) = g. What is f(l(w))? 4*w**2 Let v(m) = -2*m. Let g(n) = n**2 - 15*n**2 - 5*n**2. Give v(g(t)). 38*t**2 Let c be 3/(-3 - 9/(-2)). Let h(r) = -5*r**2 + 4*r**2 + c*r**2. Let t(o) = 2*o. Calculate t(h(f)). 2*f**2 Let n(o) = 3*o + 11. Let a(z) = z + 4. Let h(j) = -11*a(j) + 4*n(j). Let d(t) be the first derivative of -t**3 - 15. Calculate h(d(p)). -3*p**2 Let g(d) = 24*d**2 - 2*d. Let t(y) = 7*y**2. Give g(t(k)). 1176*k**4 - 14*k**2 Let z(o) = -95*o**2. Let v(a) = -34*a**2. Calculate z(v(w)). -109820*w**4 Let h(u) = -327*u. Let j(m) = -m. Determine h(j(n)). 327*n Let r(k) = 0*k + 0*k + 3*k. Suppose 2*p + 42 = 5*o, 5*p = -0*o - 3*o + 19. Let l(d) = -8*d + o*d - d**2. Determine r(l(b)). -3*b**2 Let d(k) = -2712*k**2. Let n(f) = -8*f. What is d(n(r))? -173568*r**2 Let g(m) = 2*m**2. Let v(a) = -1540*a**2. Give v(g(y)). -6160*y**4 Let c(k) = k. Suppose 0 = -2*o - 3*o + 35. Let r = o - 5. Let h(d) = r + 2 - 3*d - 4. What is c(h(i))? -3*i Let f(y) = -y. Let s(m) = 7*m**2 - 2*m. Let z(o) = 85*o**2 - 25*o. Let l(k) = -25*s(k) + 2*z(k). Determine l(f(a)). -5*a**2 Let k(c) = 412*c**2. Let j(p) = -p**2. Calculate k(j(y)). 412*y**4 Let l(c) = -3*c**2. Let h(o) = -2*o**2 + 35*o. Give h(l(i)). -18*i**4 - 105*i**2 Let u(q) = -14*q**2 + 5. Let j(c) = c**2. What is u(j(b))? -14*b**4 + 5 Let m(z) be the second derivative of 55*z**4/12 + 11*z. Let r(b) = 2*b**2. What is r(m(q))? 6050*q**4 Let a(f) = -5*f - 9. Let x(s) = 2*s + 4. Let r(w) = 4*a(w) + 7*x(w). Let b(z) = z + 1. Let i(v) = -8*b(v) - r(v). Let y(m) = -3*m**2. Determine y(i(n)). -12*n**2 Let q(f) = 3*f. Let m(a) = -2*a**2 - 1. Let i(x) = -x**2 - 1. Let t(p) = p**3 + 4*p**2 - 2*p - 9. Let h be t(-4). Let d(u) = h*i(u) + m(u). Calculate q(d(o)). -3*o**2 Let j(s) = -57*s - 33. Let k(w) = 7*w + 4. Let h = 19 - 52. Let v(o) = h*k(o) - 4*j(o). Let q(n) be the second derivative of -n**3/6 - n. Calculate v(q(y)). 3*y Let g(a) = -a**2 + 0*a**2 + 2*a**2. Let s = 11 - 8. Let t(w) = -w + 3. Let y(m) = 2*m - 5. Let r(u) = s*y(u) + 5*t(u). What is g(r(p))? p**2 Let o(f) = -f**2. Suppose -g + 3*p - 8 = 11, -2*g = 2*p + 14. Let w(r) = -r - 8. Let l be w(g). Let a(y) = 3*y**2 - 2*y**l + y**2. Give o(a(c)). -4*c**4 Let m(b) = b. Let q(s) = 2041*s**2. Determine q(m(p)). 2041*p**2 Let d(t) = 2*t**2. Let k(i) = -9*i - 5*i + 16*i. Give k(d(g)). 4*g**2 Suppose 0 = i - 3*i - c - 4, 4*i = 5*c + 20. Let o be 7/(-28) - (-3)/12. Let v(l) = o*l - 2*l + i*l. Let k(j) = 3*j**2. Give k(v(x)). 12*x**2 Let t(u) = -5*u**2. Let a(q) = -449*q. Give a(t(p)). 2245*p**2 Let m(a) be the first derivative of a**2/2 + 7. Let h(z) be the third derivative of -z**4/8 + z**2. Calculate m(h(t)). -3*t Let b(s) = 1 - 1 + 6*s - s. Let q(o) = -2*o**2. Calculate b(q(r)). -10*r**2 Let p(u) = 984*u. Let k(x) = 3*x. What is k(p(o))? 2952*o Let w(m) = 2 + 1 - 3 - 9*m. Let l(v) = -v**2. Calculate l(w(r)). -81*r**2 Let j(r) be the first derivative of r**2/2 + 1. Let a(q) = 5*q. What is a(j(t))? 5*t Let d(w) = -2*w. Let b(r) = 15*r - 25*r - 10*r - 21*r. Calculate b(d(q)). 82*q Let d(m) = 2*m**2. Let n(w) = 4*w - 3*w - 3*w + 11*w. Give n(d(g)). 18*g**2 Let a(u) = -2*u**2. Let d(n) = 44*n**2 + 55*n. Let h(z) = -z**2 - z. Let i(j) = -2*d(j) - 110*h(j). Calculate i(a(q)). 88*q**4 Suppose 8*s - 3*s = 0. Let j(d) = s*d - d + d**2 + d. Let f(y) = -y**2. What is j(f(q))? q**4 Let c(z) = 331*z. Let r(t) = -5*t**2. Determine r(c(q)). -547805*q**2 Let v(j) be the second derivative of -2*j**3 + 14*j. Let i(g) = -2*g**2. Calculate i(v(o)). -288*o**2 Let v(y) = 1231*y**2. Let u(r) = r**2. What is v(u(f))? 1231*f**4 Let l(j) = 4*j + 3. Let m = -25 - -17. Let o(y) = -11*y - 8. Let p(g) = m*l(g) - 3*o(g). Let c(w) = -5*w**2. Give p(c(d)). -5*d**2 Let q(t) = -7*t**2 + 5*t + 5. Let g(r) = 4*r**2 - 3*r - 3. Let a(x) = -5*g(x) - 3*q(x). Let y(s) be the third derivative of s**5/30 + 3*s**2. Determine y(a(v)). 2*v**4 Let s(g) = -4*g**2 - 3*g. Let x(r) = -3*r**2 - 2*r. Let y(l) = 2*s(l) - 3*x(l). Let m(a) be the third derivative of a**5/12 + 7*a**2. Give y(m(w)). 25*w**4 Let m(w) = w. Let y(x) = 46*x**2 - 97*x**2 + 48*x**2. What is y(m(c))? -3*c**2 Let d(p) = -p**2. Let f(l) = -32*l**2 - 10*l + 10. Let z(y) = y**2 + y - 1. Let h(o) = -f(o) - 10*z(o). What is h(d(i))? 22*i**4 Let g(u) = 2*u**2. Let v(x) be the first derivative of -x**3/3 + 2*x**2 - x + 2. Let q be v(2). Let j(w) = 2*w + q*w - 7*w. What is g(j(a))? 8*a**2 Let a(w) = 5 - 3 + 2*w - 3*w. Let j(g) = g - 3. Let h be (6/4)/((-4)/(-8)). Let k(n) = h*a(n) + 2*j(n). Let t(o) = o. Calculate k(t(q)). -q Let c(u) = -2*u**2. Let j(d) be the third derivative of d**4/8 - 4*d**2. Determine j(c(i)). -6*i**2 Let h(z) = 2*z. Let g(j) = -857*j. Determine h(g(m)). -1714*m Let z(r) = 2*r**2. Let x(h) = 1779*h. Give x(z(k)). 3558*k**2 Let u(p) = -p**2 + 6. Let n(k) = 18*k**2. Determine n(u(w)). 18*w**4 - 216*w**2 + 648 Let c(i) = -i. Let r(u) = -5*u. Let y(z) = -5*z. Let n(q) = 3*r(q) - 2*y(q). Give c(n(o)). 5*o Let w(v) = 6*v**2 - 7*v**2 + 5*v**2. Let h(z) = 4*z. Calculate w(h(x)). 64*x**2 Let r(q) = -5*q**2. Let p(s) be the first derivative of 4*s**3/3 - 2. Give p(r(g)). 100*g**4 Let x(d) be the first derivative of 2*d**3/3 + 7. Let z(s) = -s - 3*s + 3*s. Calculate x(z(u)). 2*u**2 Let r(d) be the third derivative of -d**7/720 + d**5/30 + d**2. Let w(t) be the third derivative of r(t). Let x(k) = 2*k**2. Determine w(x(i)). -14*i**2 Let x(u) = 44*u**2. Let s(r) = -2006 - r - r + 2006. Give s(x(w)). -88*w**2 Let l(f) = f**2 + f. Let m(u) = -4*u**2 - 2*u. Let h(d) = -2*l(d) - m(d). Let p(n) = -2*n + 3. What is h(p(i))? 8*i**2 - 24*i + 18 Let t(m) = 3*m**2. Let c(z) = -101*z**2. Calculate c(t(l)). -909*l**4 Let m(f) = 2*f - 28. Let b(l) = -17*l**2. Determine b(m(s)). -68*s**2 + 1904*s - 13328 Let c(h) = 0 + 7*h - 2*h - 17*h**2 + 5. Let d(n) = -8*n**2 + 2*n + 2. Let p(s) = 2*c(s) - 5*d(s). Let m(r) = 2*r. Determine p(m(j)). 24*j**2 Let l(i) = -22*i - 2*i - 2*i. Let r(w) = 5*w + 18 + 22 - 40. Let k(h) = 3*l(h) + 16*r(h). Let z(c) = -2*c**2. Determine k(z(s)). -4*s**2 Let o(x) = 2*x**2. Let u(w) = 3*w - 6. Suppose -2*a + 12 = 4*l, a - 2*l = 5*a. Let t be (3/6)/(1/a). Let g(v) = v - 1. Let d(j) = t*u(j) + 6*g(j). Give d(o(h)). 6*h**2 Let c(m) = 2*m**2 - 2*m**2 + 2*m**2. Let n(o) = -18 + 18 - 2*o**2. What is n(c(p))? -8*p**4 Let r(v) = 13*v - 13*v + v**2. Let n(b) = 2*b**2. Let z(f) = 4*n(f) - 9*r(f). Let t(d) be the third derivative of -d**4/8 - d**2. Give z(t(j)). -9*j**2 Let m(y) = y**2 - 5*y**2 + 5*y**2. Let p(u) be the first derivative of 4*u**3/3 + 7. Determine p(m(z)). 4*z**4 Let h(c) = 5*c**2 + 6. Let o(j) = -4*j**2 - 5. Let u(a) = -5*h(a) - 6*o(a). Let y(m) = 34 - 61 + 27 - m. Determine y(u(g)). g**2 Let h(m) = 8*m**2
{ "pile_set_name": "DM Mathematics" }
445)/5*(-5)/7*819/(-585)? -89 Calculate ((1/(-4))/((-10)/(-160)))/(-4)*(-68)/4. -17 Calculate (-10)/(10080/(-462))*(-16)/(-2). 11/3 Evaluate ((-21)/14)/((-6)/(3*(-144)/(-243))). 4/9 Calculate (-1974)/(-35)*((-140)/(-14))/(-150)*150/(-6). 94 Calculate 138/50*2*104415/62649. 46/5 Evaluate (14/(-3)*2/(-36))/(13538/11604). 2/9 Evaluate (-8)/(-114)*3*(-1)/4*640/960. -2/57 Calculate ((-344)/(-3440))/(14/10)*(-5)/(-15)*1778. 127/3 Calculate ((-88)/55)/(91/(627900/120)). -92 What is (((-1941)/647)/(7/(-4)))/(45/(-42))? -8/5 What is -12*(-2)/(-8)*3/((-594)/6)? 1/11 Calculate (-108)/(-1)*76/(-228)*(-11)/(-11). -36 What is (190/(-76))/((-385)/(-5082))? -33 Calculate ((-12)/(-3))/((-2)/40*(-43)/(1032/240)). 8 Evaluate (-2)/10*-30*(2/12)/((-2)/16). -8 What is (-19040)/(-357)*(-1)/(-1)*10/(-50)? -32/3 Calculate (12/(-40))/((-702)/(-52)). -1/45 What is the value of (20/(-86))/(9865/3946)? -4/43 Evaluate (-12)/8*44/28*132/726. -3/7 What is the value of (-20)/(-12)*138/(-243455)*-29? 2/73 What is (-157320)/(-6840)*1/5? 23/5 What is the value of 42742/(-5964)*27/(-3225)? 3/50 What is the value of ((-658)/(-4794))/((-3)/(-9))*1? 7/17 ((-135)/36)/((-595)/1428) 9 Evaluate (-945)/(12705/121)*(-24)/2. 108 What is the value of (-704)/(-66)*570/912*144/(-10)? -96 Calculate (238/(-5))/(4300/(-2150)*2/10). 119 What is the value of 125*(-3)/(-27)*(-771)/(-1285)*1/1? 25/3 What is (-455*(-98)/(-17150))/((-4)/(-5))? -13/4 Calculate 10*(-80)/64*(-168)/35*(-3)/3. -60 ((-23335)/(-4308))/((-10)/(-4)) 13/6 (-11408)/(-4278)*39/4 26 What is (116/(-8120))/((1170/(-42))/13)? 1/150 What is the value of ((-1)/(-13))/(20*4/(-80))? -1/13 2016/(-84)*(-9)/(-6)*(-10)/(-120)*-38 114 What is 114*48/(-288)*-1? 19 Evaluate ((-450)/(-360))/(36/(-720)). -25 What is the value of (-167)/((-343185)/(-548))*(-2)/((-16)/(-3))? 1/10 What is the value of (-9)/((510/(-935))/((-4)/(-44)))? 3/2 (8556/(-1488))/(2/(-8)*(-90)/18) -23/5 What is the value of (11/(-110))/(((-825)/(-25))/99)? -3/10 Calculate ((-1143)/17145)/(2/(-1020)). 34 What is ((-1011)/32015)/(36/(-76))? 1/15 What is (-36)/18*3/(-1)*(-817)/(-114)? 43 Evaluate (39/(-91))/((-135)/1260). 4 (75/((-9450)/(-28)))/((-5)/270) -12 ((-35)/21)/((-133)/(-228)*30/483) -46 What is ((-8)/(-6))/(752180/650925)? 15/13 Calculate -6*(-15)/(-27)*(-15)/50*34/(-17). -2 Evaluate 68/6*(-8784)/49776. -2 Calculate ((-1)/(-1))/((-19)/(-2)*402/3819). 1 Evaluate 219/(-4)*31/93*(-248)/(4898/(-79)). -73 Evaluate ((-16)/(-6))/(37584/1832220). 130 What is ((1/(10/(-195)))/((-864)/(-128)))/(-2)? 13/9 (-2)/4*66/3*1970/(-2167) 10 Calculate ((-276)/414)/(10/(30/(-39))). 2/39 What is the value of ((-12)/(-27))/(((-102)/(-85))/(261/4495))? 2/93 Evaluate 2/(135/74970*-17*14/(-12)*-1). -56 What is ((-1)/(-15))/(92/230)*(-12)/22? -1/11 What is ((-83)/(51875/50)*(-500)/16)/((-5)/(-88))? 44 Evaluate 14*(66/(-4))/((26691/164)/31). -44 Evaluate -28*((5/(-12))/((-840)/2688))/(42/27). -24 Evaluate (16/168)/((168/(-14))/144)*(-392)/7. 64 (124644/(-47))/78*-2 68 What is (38/(-1)*1)/(-31*184/5704)? 38 Calculate (30/26*120/(-100))/((-66)/(-176)). -48/13 1/((-10)/3)*54055/(-10242)*(-2)/1 -19/6 What is the value of (377/(-104))/((-27)/(-216)*-5)? 29/5 (((-12)/81)/((-210)/108)*-3*1)/2 -4/35 What is (24/96*13/(91/(-8)))/((-11)/(-33))? -6/7 Evaluate (-20200)/2020*-1*1/(-10)*5/85. -1/17 -5*(-121)/(-220)*(-40)/220*-84 -42 What is the value of (((-120)/(-2))/5)/(16/448*42)? 8 What is ((-3)/12)/((16/(-480))/((-20)/75*9))? -18 What is (-238560)/(-13419)*(-270)/50? -96 (-6)/63*(-34)/(5984/(-3432)) -13/7 What is (9040/(-42488))/((-6)/705)? 25 Calculate 2*((-76)/(-190))/(2/(-10)). -4 (-220)/(-275)*155/(-1116) -1/9 What is the value of ((-9)/(279/31))/(((-1)/7)/(96/(-28)))? -24 Calculate ((-426)/(-12))/(((-4)/18)/(((-1064)/126)/19)). 71 What is the value of -4*33/(-440)*(-8)/336*10? -1/14 (183*121/155001)/(2/28*43) 2/43 What is (-1*(-1)/(-3))/1*(-283)/((-56883)/603)? -1 What is 65/(-39)*(((-100)/(-20))/(-75))/((-2)/(-3))? 1/6 (13*(-511)/3796)/((-14)/240) 30 Calculate ((-8)/((-60)/((-40)/4)))/((-10)/420). 56 Calculate (2/(-5))/(-1001*(-270)/(-8775)). 1/77 (-84)/(-2)*(-247)/(60268/(-366)) 63 What is (2/16*1)/(((-4743)/(-102))/93)? 1/4 What is the value of (16240/(-245))/29*336/(-8)? 96 What is the value of (2/(-2))/(3*30/13050*10)? -29/2 Evaluate ((-60)/4)/((3/6)/(255/(-6120))). 5/4 What is (-45)/(-10)*3/18*-20*286/(-165)? 26 ((-252)/(-1584))/(-7)*(-77)/4 7/16 What is ((-22)/(-45))/(86284/(-194139))? -11/10 Evaluate 6/36*-23*3144/524. -23 What is the value of (18/(-18))/(1/178*-5)*2325/(-930)? -89 What is (62/24*(-8397)/2799)/((1/4)/1)? -31 What is the value of (-1812)/(-6342)*(-3955)/(-4)*(-2)/5? -113 Evaluate (320/45)/(13*(-78)/18252). -128 Calculate (-6)/165*-22*-15*(-3)/2. 18 Calculate (((-2)/3)/(-1))/((-5384)/8076)*0. 0 (-1)/(-1)*(4704/(-84))/44128*-8 2/197 Calculate 8*(3/4)/((-177)/649). -22 Evaluate 7860/20960*256/(-76). -24/19 What is (-6)/(-4)*(-1484)/62328? -1/28 What is (-60)/(-225)*42*99/(-924)? -6/5 Calculate ((-5)/((-350)/16))/(11/(22/(-2)))*10. -16/7 What is the value of (((-1)/(-7))/(36/(-84)))/(1900/228)? -1/25 Calculate 3/(-2)*((-198)/(-135))/((-56)/(-280)). -11 Calculate (((-8525)/(-44))/155)/(1*255/(-24)). -2/17 Evaluate 28800/640*1*8/12. 30 Evaluate ((-41)/984*-18)/((-9)/672*-4). 14 Calculate ((-79)/6399*-144)/16. 1/9 25*53/(-31800)*-1896 79 Calculate ((2/6)/((-20)/(-12)))/((-12)/(-21660)*-19). -19 (-6)/376*-47*(-22)/9*-6 11 Evaluate (-1*(-7)/(-378)*-18)/((-236)/24). -2/59 7/(-420)*-435*4*-1 -29 Evaluate (919/12866)/((-1)/(-518)). 37 What is ((-266)/196)/(1197/(-126))? 1/7 What is 9/20*-280*265/139125? -6/25 Calculate (2340/(-1560))/(1*(-564)/8). 1/47 What is (41/(-8610)*8)/((-12)/(-18))? -2/35 What is (-970)/97*-3*4/660? 2/11 Calculate (2/6)/(1417/(-187044)). -44 What is ((-3016)/(-29))/7384*-2? -2/71 What is (30/(-282))/(2/(-3)*(-180)/(-16))? 2/141 What is ((-8)/64)/(32/48*42)? -1/224 Evaluate ((-3)/11)/((-2431)/(-26741)). -3 What is the value of (((-231)/(62370/(-240)))/(1/(-1)))/(-2)? 4/9 Calculate (-60)/(-8)*145/((-22475)/186). -9 What is 6/9*9*(-9200)/1725? -32 What is the value of (22*(-33)/726)/(13/4)? -4/13 Calculate (-2)/4*3/282*(240/(-4))/15. 1/47 What is (216/117)/(16/2392*23)? 12 What is ((-5)/(450/(-24)))/(-2*(-7740)/300)? 2/387 Calculate (2925/(-108))/(-325)*33/2. 11/8 Calculate 183/(-3050)*125*(4/(-18))/((-12)/(-63)). 35/4 Evaluate (-25*13/(-650))/((306/(-17))/4392). -122 Evaluate ((-69)/184)/(((-75924)/(-48))/(-37)). 1/114 Calculate (182*24/3900)/(-3*10/(-75)). 14/5 What is -18*(6/(-30)*30/16)/(2/8)? 27 What is the value of ((-5)/(5/(-4)))/(20*(-12636)/(-520))? 2/243 (-58)/(-1)*(-7)/((-588)/42)*(-1)/1 -29 104/(-110*(-16)/(-40)) -26/11 Evaluate (11/(-616)*24)/(((-9)/3)/(3/5)). 3/35 What is -1*20*183/1098*-1*2*-15? -100 Evaluate (-872)/3270*(-4500)/40. 30 Evaluate (220/1584*18)/(1770/24). 2/59 What is 3597/749375*60/18? 2/125 What is the value of 7*-1*(-621)/6*1012/(-15939)? -46 What is the value of ((1031264/(-804))/481)/((-4)/(-102))? -68 What is the value of ((6/(-8))/((-2)/(-8)))/(53/(-424)*-8)? -3 Evaluate (-184)/24840*-2550*(-18)/4. -85 (-2)/((-3)/3)*(-66080)/2240 -59 What is the value of (2/9)/((-26320)/(-12673080))? 107 Calculate 616/(-72)*(-1712)/4708. 28/9 What is the value of (43371/(-9638))/(18/104)? -26 What is the value of (150/(-2125))/((-36)/(-12))? -2/85 What is the value of (271/((-4607)/935))/(2*5/(-12))? 66 Calculate (39*(-86)/(-41925))/((-4)/(-30))*90. 54 What is -1*((-4176)/(-216))/(-2*(-3)/(-9))? 29 Calculate (3/90*-5)/(22/(3080/1085)). -2/93 What is ((-168)/(-10))/(686/(-1372)*8/(-10))? 42 What is the value of 559209/(-479322)*12/(-7)*2/(-6)*-216? 144 Calculate 120/32*22/24*2. 55/8 Evaluate ((-3445)/212)/((125/(-10))/(-5)*2/(-24)). 78 What is (-128)/88*(903/(-86))/21? 8/11 What is the value of (6/8*(-26096)/(-4893))/(1*-31)? -4/31 What is the value of (-2*2)/((-11)/3*(-6)/31900*50)? -116 Calculate (14/4)/(12845/(-1468)). -2/5 Evaluate (-4770)/106*12/160*8. -27 ((-36)/(-28))/((-1533)/(-14308))*9/(-4) -27 Calculate 28/80*2/(((-315)/14)/(-45)). 7/5 Calculate (-2*3)/(10/(((-24)/10)/(64/320))). 36/5 Evaluate 3240/180*(2/(-9))/(6/9). -6 What is the value of (-96)/(-420)*(-960)/1664*13? -12/7 What is the value of 17/(-34)*120/(-80)*-188? -141 What is
{ "pile_set_name": "DM Mathematics" }
**2 Find the second derivative of -5*c**5 + 4259*c**2 - 32119*c. -100*c**3 + 8518 Find the second derivative of -2264899*a**3*d + 30*a*d - 7803*a + 1 wrt a. -13589394*a*d What is the first derivative of -87387*q**3*v - 89648*q**3 wrt v? -87387*q**3 Find the third derivative of 18856*l**4 - 2*l**2 + 15595 wrt l. 452544*l What is the first derivative of 7026*m**4 + 2*m + 11712 wrt m? 28104*m**3 + 2 Find the second derivative of 94942*a*j**5 - 2*a*j**4 + 699*a*j + 71*a wrt j. 1898840*a*j**3 - 24*a*j**2 Find the second derivative of 2*d*h*v**2 - 51*d*h*v - 150*d*h - 11*d*v**2 - h*v**2 + 1701*v**2 wrt v. 4*d*h - 22*d - 2*h + 3402 What is the third derivative of -76*h**6 - 92*h**4 - 10*h**2 + 4*h - 524 wrt h? -9120*h**3 - 2208*h What is the first derivative of -5592*b**4 + 2*b**3 - 6*b - 472819? -22368*b**3 + 6*b**2 - 6 What is the second derivative of -8*j*w**2 - 1398*j*w + 13*j - 92268*w**2 - w + 1 wrt w? -16*j - 184536 Find the third derivative of 672*s**3*x**5 - 189*s**3 - 516*s*x**5 - 4782*s*x**2 wrt x. 40320*s**3*x**2 - 30960*s*x**2 What is the third derivative of 2*f*h**3 - 3*f - h**5 - 4583*h**3 - 120*h**2 wrt h? 12*f - 60*h**2 - 27498 What is the third derivative of -1377*x**5 - 9*x**4 + 46*x**2 + 2361 wrt x? -82620*x**2 - 216*x What is the third derivative of 436463*o**3 - 5*o**2 - 308*o + 35 wrt o? 2618778 Find the first derivative of 179407*c*m + 751183*c + 2 wrt m. 179407*c Find the third derivative of -51*p*r*y**3 - p*r*y**2 - 2*p*y**3 + 2*p*y**2 + 2*p + 137*r*y**3 - 24*r - 16*y**2 + 4*y wrt y. -306*p*r - 12*p + 822*r What is the second derivative of -x**4 + 140927*x**2 + 245847*x wrt x? -12*x**2 + 281854 Find the first derivative of c**2*u*v**3 + 698*c**2*v**2 + 6221*c*u*v**3 - 6*c*v**3 wrt u. c**2*v**3 + 6221*c*v**3 What is the first derivative of -2*a*f*w - 33*a*f - 41*a*w**2 - 19*f*w - 33*f + w + 11 wrt w? -2*a*f - 82*a*w - 19*f + 1 Find the third derivative of 2*i**6 - 29*i**5 + 106*i**3 - 10*i**2 + 698*i - 2 wrt i. 240*i**3 - 1740*i**2 + 636 What is the third derivative of 5353439*t**3 - 138*t**2 + 4*t + 94? 32120634 What is the second derivative of -600651*b**5 - 149159*b wrt b? -12013020*b**3 Differentiate -132*b*n - 144519*b + n**2 + 41*n - 1 wrt n. -132*b + 2*n + 41 What is the second derivative of -358743*a**4 - 58638*a + 2 wrt a? -4304916*a**2 What is the first derivative of 406871*i**3 + 133899 wrt i? 1220613*i**2 What is the third derivative of 2*c*q**5 - 44273*c*q**3 - 1997*c*q**2 - 36*c*q wrt q? 120*c*q**2 - 265638*c What is the second derivative of -150*t**5 + 130*t**4 - 134460*t wrt t? -3000*t**3 + 1560*t**2 What is the second derivative of 2747*o**5 - 9*o**4 + 15*o**2 - 664307*o + 2? 54940*o**3 - 108*o**2 + 30 What is the third derivative of 5*d**2*k**4 + 38429*d**2*k**2 + 164*d*k**3 + 2*k**4 + 2*k**3 wrt k? 120*d**2*k + 984*d + 48*k + 12 What is the third derivative of 197*d**6 + 3*d**4 - 13*d**3 - 37490*d**2 wrt d? 23640*d**3 + 72*d - 78 What is the derivative of -8*n*s*x*y + n*s*y - 130*n*x*y - 32*n*y + s*x*y - 1653*s*y + 3*y wrt s? -8*n*x*y + n*y + x*y - 1653*y What is the third derivative of 6235*j**2*w**3 + j**2*w + 2*j**2 + 6763*j*w**2 - 154*w**5 - 2*w**2 - w wrt w? 37410*j**2 - 9240*w**2 Differentiate -263*h*m*z + 2*h*m + 303*h*r*z - h - 362*m*r*z + 4*z - 4 with respect to r. 303*h*z - 362*m*z What is the second derivative of -9753*j**2*m**2*y - 2*j**2*y - j*y - 82*j - 6*m**2*y + 42*m**2 - m wrt j? -19506*m**2*y - 4*y Find the second derivative of -2*k**2*x**4 + 12940*k**2*x**2 + 58*k**2*x - 6*k**2 + 2*k + 25*x wrt x. -24*k**2*x**2 + 25880*k**2 What is the first derivative of 691*a*k**3 + 65*a*k + a - k**4 - 1555052 wrt k? 2073*a*k**2 + 65*a - 4*k**3 What is the second derivative of 35397*x**4 - 125*x - 11 wrt x? 424764*x**2 Find the third derivative of 769753*f**3 - 561290*f**2. 4618518 Find the second derivative of 57727*x**3 + 2*x - 9524 wrt x. 346362*x Differentiate d*h**2*n + 2*d*h**2*u + 2*d*h**2 + 26*d*h - d - 43*h**2*n*u + 32*h*n*u - h*n with respect to u. 2*d*h**2 - 43*h**2*n + 32*h*n Find the third derivative of 15*i**5 - 39*i**4*r**2 + 3*i**3*r - i**2*r + 33090*r**2 - 1 wrt i. 900*i**2 - 936*i*r**2 + 18*r Find the first derivative of -882455*r**2 - 751191 wrt r. -1764910*r Differentiate 1133785*o**2 - 793349. 2267570*o Find the first derivative of 61597*b**2 + 7398. 123194*b Find the third derivative of -5282710*b**3 + 10474*b**2 + 3*b - 23 wrt b. -31696260 Find the third derivative of 88*m**4 - 6101*m**3 + 39*m**2 + 11313 wrt m. 2112*m - 36606 What is the third derivative of -10*b*o*q**3*w + 11*b*o*q**3 - 2*b*o*q**2*w - 14*b*o*w + 2*b*q**3*w + 3*b*q**2*w - 781*o*q*w wrt q? -60*b*o*w + 66*b*o + 12*b*w Differentiate -2*b**2*c**2 + 259*b**2*l + 41*b*c**2*l + 1209*b*c + 2*b - 6*c**2*l + 7*c wrt l. 259*b**2 + 41*b*c**2 - 6*c**2 Differentiate 2*c**2*r - 6*c**2 + 104*c*r + 3804*c - 387*r + 7 wrt r. 2*c**2 + 104*c - 387 What is the third derivative of -31205*m**3*n**2*t**2 - m**3*n*t**3 + 2*m**2*t**3 - 7*m**2*t**2 + 10*m*n**2*t - 70*n**2 wrt m? -187230*n**2*t**2 - 6*n*t**3 What is the third derivative of -63*o**6 + 467*o**3 + 29*o**2 + 428*o wrt o? -7560*o**3 + 2802 Find the third derivative of 73863*k**2*o**3 + k**2*o**2 - k**2*o + 5*k*o**4 - k*o**3 + 978*o**2 - 4 wrt o. 443178*k**2 + 120*k*o - 6*k What is the third derivative of -12*p**5*z**2 - 1072*p**5 + 20*p**2*z**2 - 4*p**2 - 2*p*z wrt p? -720*p**2*z**2 - 64320*p**2 Find the third derivative of 5099058*g**6*i**2 + 61*g**2*i**2 - g**2 - 22*g*i**2 - 2*g*i + 6*i**2 wrt g. 611886960*g**3*i**2 What is the second derivative of -7*x**4 - x**3 - 30*x**2 - 299046*x? -84*x**2 - 6*x - 60 What is the third derivative of -4*i**6*s**2 + 10947*i**3*s**3 - 1823*i**2*s**3 + 5*s**3 wrt i? -480*i**3*s**2 + 65682*s**3 What is the first derivative of 3*n*y**4 + 93073*n + 2*y**4 - 5010*y**2 wrt y? 12*n*y**3 + 8*y**3 - 10020*y Find the second derivative of 2986*x**5 - 13*x**4 + 2*x**2 + 1437112*x wrt x. 59720*x**3 - 156*x**2 + 4 Find the third derivative of -19079*x**3 + 7956*x**2 - 2*x - 1 wrt x. -114474 What is the second derivative of -780356*j**2 - 9*j - 9517 wrt j? -1560712 What is the third derivative of -122137*n**3*s*w**2 + n**2*s*w**2 - 7*n**2*s*w + 4*n**2*w**2 - 27*n*s + 5*n wrt n? -732822*s*w**2 Find the second derivative of 31*a*l**2*q**3*y - 1863*a*l**2*q**2*y**2 + 2*a*l + a*q**2*y - 147*q**3 - 16*q*y**2 wrt l. 62*a*q**3*y - 3726*a*q**2*y**2 Find the second derivative of 82404*r**3 - 2*r**2 - 313449*r. 494424*r - 4 Find the second derivative of 5109*m**5 - 2*m**4 + m**3 + 133851*m. 102180*m**3 - 24*m**2 + 6*m Find the second derivative of 228133*i**2 + 305*i + 448. 456266 Find the second derivative of -615554*d**2 - 76106*d. -1231108 What is the second derivative of -83*d*m**2 + d*m + 618*d - 37*m**3 - 6*m wrt m? -166*d - 222*m What is the second derivative of -11*k**2*q**3 - 1200*k**2*q + 3*k*q**3 + 9*k*q + 68*k - 2*q**3 wrt k? -22*q**3 - 2400*q What is the second derivative of 950*z**3 - 69*z**2 - 161423*z + 3 wrt z? 5700*z - 138 What is the derivative of 203304*n**2 + 321250? 406608*n What is the third derivative of -127025*j**5 + 107*j**2 + 193*j? -7621500*j**2 Find the third derivative of -2214901*f**3 - 2224901*f**2 wrt f. -13289406 What is the third derivative of 408*c**2*n**3 - 60*c**2*n**2 + 64*n**6 - 124*n**2 wrt n? 2448*c**2 + 7680*n**3 Find the first derivative of 591*h*l*p + 2*h*l + 8*h + l*p - 4*l - 76*p + 2 wrt h. 591*l*p + 2*l + 8 What is the second derivative of 8*x**4 + 44*x**3 + 22*x**2 - 13*x - 1425 wrt x? 96*x**2 + 264*x + 44 What is the second derivative of 9*o**3*r**4 + 2188*o**3 + 2*o**2*r - 2*r**5 + 1324*r**2 - r wrt r? 108*o**3*r**2 - 40*r**3 + 2648 Find the second derivative of 50078*u**2 + 257220*u wrt u. 100156 What is the second derivative of -607*g*o**2 + 158*g*o - 6*g*r + 3*o**5 + 8*o**3 + 2*o**2*r - 14*o wrt o? -1214*g + 60*o**3 + 48*o + 4*r Find the third derivative of -75*b**2*i*y**3 - b**2*i*y - 17419*b**2*y**3 - b**2 + 6*b*i + 2*i*y**2 + i*y + 7*i wrt y. -450*b**2*i - 104514*b**2 Find the third derivative of n**4 - 13585*n**3 + 32280*n**2. 24*n - 81510 Differentiate -109450*g**3 + 19125. -328350*g**2 Find the third derivative of 184088*b**5 + 2*b**3 + b**2 - 122250*b - 1 wrt b. 11045280*b**2 + 12 Find the first deriva
{ "pile_set_name": "DM Mathematics" }
000001 Let u = -28 - -28.0000172. What is u rounded to six dps? 0.000017 Let j = 9372850 + -9372827.999964. Let b = 28 + -50. Let t = j + b. Round t to 5 dps. 0.00004 Let b = 2396769 + -2396769.4200122. Let w = b + 0.42. What is w rounded to six dps? -0.000012 Suppose -5*i - z + 24 = 0, -3*z + 0*z = -5*i + 28. Suppose 3*b - 157834 + 2007819 = i*a, 740005 = 2*a + b. What is a rounded to the nearest 100000? 400000 Let w = -0.3 - -0.268. Let m = -2.268 + w. Round m to the nearest integer. -2 Suppose -4*r = -6168411 - 33325533. Suppose 2*d + r + 2726514 = 0. What is d rounded to the nearest 1000000? -6000000 Let j(i) = -2 + 2 - 10800*i. Let y(v) = v**3 - 6*v**2 + 5*v - 5. Let w be y(5). Let b be j(w). What is b rounded to the nearest ten thousand? 50000 Let h = 160.4 - 160.4693. Round h to 3 dps. -0.069 Let f = 10 - 22. Let q = -12.00000045 - f. What is q rounded to seven dps? -0.0000005 Let a(y) = -851500*y - 1. Let p be a(-2). Suppose p + 377001 = 4*d. Suppose 3*u - d = -u. Round u to the nearest 100000. 100000 Suppose -390660 + 3486660 = -8*g. What is g rounded to the nearest one hundred thousand? -400000 Suppose -4*g = -o - 77, -5*g = -o + 4*o - 109. Let y be (g/(-15))/((-2)/5401464). Let d = y + -9600976. Round d to the nearest 1000000. -6000000 Let l = 1 - -3. Let s = 106044622.00000008 - 106044626. Let i = l + s. What is i rounded to 7 decimal places? 0.0000001 Let a = 10.00016 + -10. Let p = a - 0. Round p to five dps. 0.00016 Let x = -94.896 + -0.104. Let c = x - -95.0106. Round c to 3 dps. 0.011 Suppose 3*o - 11 = 10. Let n = -92 + o. What is n rounded to the nearest ten? -90 Let g(k) = -235938*k**3 + k**2 + 4*k. Let u be g(4). Round u to the nearest one million. -15000000 Let i = -24 + 17. Let t = -43819681.9999966 - -43819689. Let c = t + i. Round c to 6 decimal places. 0.000003 Let f = -8 + 8.00000038. What is f rounded to 7 dps? 0.0000004 Let d = 2.8 + 9.7. Round d to the nearest integer. 13 Let r = -7 - -10. Suppose -2*j - 5*b = r*j - 899995, 4*j - 719999 = -b. Round j to the nearest 100000. 200000 Let k = 45.99832 + -46. What is k rounded to 4 dps? -0.0017 Suppose 5*s = -2*j + 164520, j - 3*s - 164488 = -j. Let y = j - 142250. Round y to the nearest 100000. -100000 Let x(b) = b - 3. Let q be x(5). Suppose 2*s = -q*s. Suppose s*f + 1700 = 5*f. Round f to the nearest 100. 300 Let v(d) = 3*d + 1. Let m be v(1). Suppose -m*k - 37 = 27. Let a = 24 - k. Round a to the nearest 10. 40 Suppose 5*x + 747 = 2*r, 0 = -2*x + 3*r + r - 286. Round x to the nearest 10. -150 Let k = -7.81 + 8.2. Let t = k - 6.79. What is t rounded to the nearest integer? -6 Let o = -45 - -44.19. What is o rounded to one dp? -0.8 Let c(z) = z**2 + 9*z + 10. Let i be c(-8). Suppose i*q = -2*q - 20. Let o(k) = -k**3 - 4*k**2 - 3*k. Let u be o(q). Round u to the nearest ten. 40 Let r = -144.03 + 143. Round r to 1 decimal place. -1 Let l = 54 - 54.0000184. What is l rounded to 6 dps? -0.000018 Let y = -0.76 - -0.26. Round y to zero dps. -1 Let w(v) = -v + 7. Let y be w(3). Let d(q) = -318751*q**2 + 4*q. Let r be d(y). Round r to the nearest 1000000. -5000000 Let y = -0.121 + 49.121. Let x = y + -49.000029. What is x rounded to 5 dps? -0.00003 Let l = 19.67 + -20. Let q = -18211838 - -18211837.67000027. Let j = l - q. What is j rounded to seven dps? -0.0000003 Suppose -6770 = -2*c + 2*h, -c + 4*c - 4*h = 10157. Suppose -x = c + 617. What is x rounded to the nearest one thousand? -4000 Let k(i) = -i**3 + 2*i**2 + 2*i - 1. Let v be k(2). Suppose -5*t = -v*q + 129010, 2*q - t - 85990 = -6*t. Round q to the nearest ten thousand. 40000 Let w = 0 + 2. Let t = 2.06 - w. Round t to 2 decimal places. 0.06 Let t = 42 + -15. Let i = t + -26.99999923. Round i to seven dps. 0.0000008 Let z = 258706.1199965 - 258706. Let m = 0.12 - z. Round m to six dps. 0.000004 Let o be 6/21 + (-518002)/7. Round o to the nearest 10000. -70000 Let r = -367.3016 - -367. Let t = -7 - -6.7. Let s = t - r. What is s rounded to three dps? 0.002 Let r = -17 - -15.96. Let q = 7.34 + r. Round q to the nearest integer. 6 Let o = -0.16 - -0.160075. What is o rounded to 5 dps? 0.00008 Let j = 114.6 - 105. Let s = j + -11. Let b = s + 6.6. Round b to 0 decimal places. 5 Let p = -0.8200076 + 0.82. Round p to 5 dps. -0.00001 Let g = -10253 + 27167. Let o = 16919.9928 - g. Let z = -6 + o. Round z to three dps. -0.007 Let t = 271 + -431. Let z = -159.999931 - t. Round z to 5 decimal places. 0.00007 Let d = 14 - 14.13. Let m = d - -0.1300112. Round m to 6 dps. 0.000011 Suppose q = 3*r - 3*q + 392980, 5*q + 25 = 0. What is r rounded to the nearest ten thousand? -130000 Let f = 14 + -10. Let b = f + -3.99999988. Round b to seven decimal places. 0.0000001 Let n = 132 - 132.000113. Round n to five decimal places. -0.00011 Let h = -181516.2 + 181612.2083. Let c = h + -96. Round c to 3 dps. 0.008 Let y = -248.7962284 - -271.796237. Let n = y - 23. Round n to six decimal places. 0.000009 Let x = 0.06 + -0.21. Let y = x - 0.75. What is y rounded to one dp? -0.9 Let u = 2684 - 2797.7. Let h = u - -92. Let j = 22.67 + h. Round j to one decimal place. 1 Suppose 2*n - 4*t + 9 = -11, -4*n = 4*t - 8. Let w(o) = 315000*o**2 + o + 2. Let k be w(n). Round k to the nearest one hundred thousand. 1300000 Let i = 29.056 - 0.056. Let s = i + -29.00044. Round s to four dps. -0.0004 Let k = 0.022 + 21.978. Let h = 34 - k. Let r = 12.00076 - h. Round r to 4 decimal places. 0.0008 Suppose n + 9 = -2*m, -3*n - 14 = 4*m + 5. Let u be (1*(1 - 6))/n. Suppose -2*x - 5*b = -x + 2020, 8020 = -4*x - u*b. Round x to the nearest one thousand. -2000 Suppose 0 = -2*g + 5 + 9. Let c be 2/(-7) - (-16)/g. Suppose m + 1 = 0, -b - 4*m + 158 = c*b. What is b rounded to the nearest 10? 50 Let y = 27.6 + -9. Let g = -20.07 + y. Round g to 1 decimal place. -1.5 Let z = -385671.32 - -385635.320037. Let k = -43 - -79. Let u = k + z. Round u to five decimal places. 0.00004 Let a = -12727 + 28727. Suppose t + a = 5*t. Let c be (1473 + (2 - 0))*t. What is c rounded to the nearest 1000000? 6000000 Let k = 0.00589793 + -0.0059. Round k to 7 dps. -0.0000021 Let l(x) = -111548*x - 2. Let o be l(-2). Let w = o + -119094. What is w rounded to the nearest ten thousand? 100000 Let x = 3.6 + -1.5. Let f = x + -2.0999956. What is f rounded to six decimal places? 0.000004 Let g = 568.924 - 580. Let h = 11 + g. Round h to 2 dps. -0.08 Let k = -0.49 - 0.01. Let w = k - -0.5003. What is w rounded to 4 decimal places? 0.0003 Let f = -21 + -28. Let g = f - -1. Round g to the nearest 10. -50 Let p = 141805 + -98623. Let t = p - 146182. What is t rounded to the nearest ten thousand? -100000 Let a = 40.062 + -40. Let q = a + -0.011. What is q rounded to two dps? 0.05 Let v be 0/(4 + (-2 - 0)). Let o be 2 - v*2/(-4). Suppose -4*g - o*m - 2853 - 351 = 0, 0 = 2*g - 4*m + 1592. Round g to the nearest one thousand. -1000 Suppose -2*z - z + 2639073 = 0. Suppose 2936 - z = -5*h. Let y = 295351 - h. What is y rounded to the nearest 100000? 100000 Let y = -2.008 + 2. Let o = 0.22 - 0.2. Let b = y - o. Round b to 2 dps. -0.03 Let j = 1.5 - -2.5. Let c = -105858 + 105854.00001. Let q = c + j. What is q rounded to 5 dps? 0.00001 Let s = 1654 + -1653.6559. Let i = s + -0.35. What is i rounded to 3 dps? -0.006 Let w = 3928688 + -3928687.7899981. Let c = 0.21 - w. What is c rounded to 6 decimal places? -0.000002 Let z = -0.13 + 0.1282. Round z to three dps. -0.002 Let r = -128.61 - 2.39. Let q = r + 130.883. Let u = q - -0.11569. What is u rounded to four decimal places? -0.0013 Let u = -138.9995 + 139. What is u rounded to 3 decimal places? 0.001 Let a = -18 - -8. Let c be a*((-304)/(-20) - -4). What is c rounded to the nearest ten? -190 Let r = 71.938 - 72. What is r rounded to two decimal places? -0.06 Let m be 34/8 + (-2)/8. Suppose 0*l + 2*f - 414620 = 5*l, m*l + f = -331709. Let c = l + 141926. Round c to the nearest 10000. 60000 Let q(y) = -y**3 + y + 1. Let o be q(-1). Let m be 2 + 116999 - 1/o. Suppose m = -3*g + 5*d, -5*d = -4*d. What is g rounded to the nearest 10000? -40000 Let g be 20*3 - (-4)/(-1). Round g to the nearest 100. 100 Let d be 0 - (2 - 0) - -2. Suppose v - r - 385 = d, 3*v - 5*r = 763 + 402. What is v rounded to the nearest 100? 400 Let t = 45404.0085 + -45428. Let w = t
{ "pile_set_name": "DM Mathematics" }
e (-5 - (-31)/7)/2. Let u = -0.31 - -0.1. Let j = u + -0.29. What is the nearest to -1/4 in -2, f, j? f Let s = 981 + -983.26. Let n = 1.96 + s. Which is the nearest to 0? (a) -2/13 (b) n (c) -8 (d) -0.5 a Let x be 42/(-20) - (-6)/15*-1. Which is the nearest to 1? (a) 0.05 (b) 2 (c) x (d) -4 a Let s = 231 - 231.5. Let w = -3.3 - 0.7. Which is the nearest to -5? (a) w (b) s (c) 0 a Suppose 3*s - 1841 = -1736. Suppose -v = 4*v - 150. Let x = v - s. What is the nearest to x in 0, 0.5, -4? -4 Let z = 425 + -581. Let m = 154 + z. Let i = 0.3 + -0.4. Which is the nearest to -1? (a) i (b) 1/5 (c) m a Let j = 2/8111 + 16184/154109. What is the nearest to -1 in -9/2, 4, j? j Let t = -172 + 173.27. Let b = t + -5.27. What is the nearest to -1 in 0, b, 4? 0 Let x = 2.1 - 2. Let i = -214.8 + 215.2. What is the closest to i in x, -2, -1? x Let a = 31.58 + -24.58. Let q = 85.5 - 86. What is the nearest to 0.02 in q, -2/3, a, 4? q Suppose 0 = -14*l - 6*l + 60. Suppose 5*n - 35 = -2*q, 7*n + q = l*n + 25. Which is the closest to -1/2? (a) n (b) 1/4 (c) -0.6 (d) -2 c Let u = -33/10 + 19/5. Let i be (-136)/714*3/(-2). What is the nearest to -1 in -0.29, u, i? -0.29 Let c = -0.5 + 0.2. Suppose -6659 = -65*s - 6594. Let p be ((-12)/21)/(1 + 1). What is the nearest to p in s, c, -2/7? -2/7 Let z = -0.2633 + -0.1412. Let d = z - -0.0045. Which is the closest to 1? (a) 5/6 (b) d (c) -3 a Let s be ((1 + -2)*-1)/(14/(8 - 1)). Let o = 0.9 + 1.1. What is the nearest to s in -13.4, o, -0.2? -0.2 Let r(m) = -54*m - 163. Let o be r(-3). Let a = -24 + 25.7. Let i = a - 1.9. What is the closest to i in -0.2, -2/5, o? -0.2 Let i be 1*(-9 + 6) + 78/10. Suppose 16 - 35 = 19*s. Which is the nearest to -0.3? (a) i (b) s (c) 0.3 (d) -5 c Let l = 1.96 - -0.04. Suppose -2*z - 14 = 2*n, 3*z = 3*n - 99 + 90. Which is the nearest to -2/11? (a) 3/10 (b) l (c) z a Let d = 47.5 - 47. Let y = -610 + 610.1. Which is the nearest to y? (a) d (b) -97 (c) 1/7 c Let s = -1196 + 1198. Suppose 5*m + 5*v + 15 = 0, -7 = 2*m - m + 3*v. What is the closest to m in 17, 0, s? 0 Let i = 102 - 69. Let r = 11 - 39. Let p = r + i. Which is the nearest to 1? (a) -5 (b) p (c) 0.4 c Let j = -10576 - -10576.1. Suppose 0 = -l - 3 + 5. Suppose 1 - 21 = -4*g. Which is the closest to l? (a) g (b) j (c) -3/8 b Suppose -227 = h - 0*h - 3*q, -3*q = -3. Let l = h - -224. Let i = 0.36 - 0.06. Which is the nearest to l? (a) i (b) -0.1 (c) 4 b Let j = 10841 - 10840.82. What is the nearest to 0.2 in -0.2, 0.5, j, 3? j Let n = -6 + 6.4. Let z = 45035 + -45032. Which is the closest to -1/4? (a) n (b) z (c) -1 a Let v(f) = f**3 + 2*f**2 - 60*f - 179. Let x be v(-7). What is the nearest to -3/8 in x, -7, -0.4? -0.4 Let d be -10 + 4 + (-6080)/(-18). Let q = 332 - d. Which is the closest to 0? (a) 1/4 (b) 3 (c) q c Let t = -0.16 - -0.06. Let o = -568 - -571.3. Let z = 4.1 - o. Which is the nearest to z? (a) 2 (b) 1/4 (c) t b Let p = 14283 - 186487/13. Let f = p + 62. Let m be -3 - 0 - 8/(-3). What is the nearest to m in 1, -3/7, f? -3/7 Let j = 1125/28 - 14681/364. Which is the nearest to 0.1? (a) 3/5 (b) j (c) 5 b Let a be ((-144)/13554)/((-16)/(-36)*-3). What is the closest to -1/2 in a, -0.3, -2/7? -0.3 Let t = -21360/767 + 1634/59. Suppose 0 = -3*o - 3. Which is the nearest to 2/13? (a) -1/7 (b) o (c) 0.3 (d) t c Let j = 320.09 + -324.09. What is the nearest to 1 in -0.53, 0.5, -1, j? 0.5 Let i = 60910 + -60909.99. Let h = -0.4 - 0.1. Which is the closest to i? (a) 0.2 (b) h (c) -3 a Suppose -6*h = -h. Let n = 503 + -502. Let g be (6/21)/2 + 0. Which is the closest to h? (a) g (b) n (c) -0.4 a Let v = -1933/5 + 13541/35. What is the closest to 3 in v, 2, 1/9, -3? 2 Let p = -18.45 + 17.65. Which is the nearest to 2/5? (a) -1 (b) -1/14 (c) p b Let f = -97110.7 + 97111. Let m(j) = -2 + 2*j + j**2 + j**2 - 4*j. Let x be m(2). What is the nearest to x in -8, f, -6/11? f Let q be 212 - (28 - 462/22). Which is the closest to 1/5? (a) q (b) -1 (c) 0 c Let o = 0.09703 - -0.90297. What is the nearest to 0.1 in o, -0.3, 180/17? -0.3 Let y = -12.49 - 0.91. Let i = -9.4 - y. What is the nearest to i in -3, -1, -0.06? -0.06 Let u = -1994 - -1997. What is the closest to -5 in 104, -2/3, u? -2/3 Let s = 4.2304 + -0.2304. Which is the nearest to -2? (a) -1 (b) 6 (c) -23 (d) s a Let g = -22 - -21.44. Let o = -10.04 + g. Let t = -11 - o. What is the nearest to 7 in -0.2, t, 5/3? 5/3 Let n be (-2)/4 - (-7)/10. Let s(o) = o**2 - 11*o - 9. Let m be s(12). Suppose -r + 2 = 3*c, -3*r - m = -c - r. What is the nearest to -0.1 in c, -0.5, n? n Let r = -34045 + 34050. What is the closest to -1/7 in -5, -0.1, r, 0? -0.1 Let p = 6288 - 4372. Which is the nearest to p? (a) 0 (b) -5 (c) 0.4 c Let q be 12/27 - (-5191)/(-2871). Which is the closest to q? (a) -1/3 (b) 0.2 (c) -0.1 (d) 3 a Let y be (11/((-594)/(-45)))/(18/(-24) - -2). Let k = 0.2 + 0.8. Which is the nearest to k? (a) y (b) 1/2 (c) 0.1 a Let v = 28685 + -28671. What is the closest to v in -1.2, -0.1, -1, 1/8? 1/8 Let v be 100/45*-1 - (-9 - (-2 + -5)). Which is the nearest to v? (a) -5 (b) 3 (c) -3 c Let j = 932 - 931.9. Let v be ((-756)/112)/((-3)/(-16)). What is the closest to j in -4, 3, -2, v? -2 Let f = -0.2 - -0.1. Let t = 43239 + -43229. Let l = 0.1 + 0.1. Which is the closest to t? (a) -0.3 (b) l (c) f b Suppose 0 = -5*k + j + 11, 66 = -2*k - 3*j + 50. Let u = 0 + 0.2. Which is the nearest to 1/4? (a) u (b) k (c) -1/11 a Let m = -845/7 + 119. Let i = -125.9 - -125. Let x = i - -1.9. What is the nearest to 1 in x, 5, m? x Let w = 215/3 - 71. Suppose -5*j - 34 = -54*v + 55*v, 0 = 3*v - 2*j. Which is the nearest to 2/7? (a) w (b) 5 (c) v a Let v = -6.89 + 6.49. What is the nearest to 0 in 16, v, 78? v Let k = 0.24 + -0.2. Let j = k + -0.34. Let d = 11287 + -191881/17. What is the closest to -2 in j, -1/5, d? j Suppose 2*h - 65 = -3*r, 0 = h + 3*r - 8*r - 26. Suppose 15 = -34*p + h*p. What is the closest to p in 5, -4/3, -1/6? -4/3 Let p = 823 + -822.988. Which is the closest to 2? (a) 3 (b) 0.4 (c) -3/4 (d) p a Let n be (30/9 + -4)*-3 + 2. Let y = 0.28 - -0.1. Let j = -3.38 + y. Which is the nearest to 2/17? (a) j (b) n (c) -1/4 c Let o = 5090.3 + -5090. What is the closest to o in -2, -0.3, 5/3, -0.01? -0.01 Let m = 1369.81 + -1367.81. Let t = 1 + 3. Let p = t + -3. What is the closest to p in m, 4, 1? 1 Let r = 814 - 816. Let x = 0.2 - -0.8. Let h = 155 + -153. What is the nearest to x in r, h, 2/7? 2/7 Suppose j + g + 6 = -j, -2 = -3*j + 4*g. Let h = -1.6018 - -1.1018. What is the closest to 9/7 in -0.2, h, j? -0.2 Suppose -10 = -5*s + 5. Suppose 13 = 4*j - s*v + 50, j + 3*v = -13. Let u be 6/j - (-2 - 2 - -4). Which is the nearest to 0? (a) 3 (b) u (c) 1/4 c Let s be (-4*(4 - 5))/(2/(-29)). Let j = -59 - s. Let k be (-1)/j - (-4 - -2). What is the closest to k in 1, 3, -2/7? 3 Let n = 0.7055 - 0.2055. What is the closest to n in -1/25, -1/3, 5/4? -1/25 Let v = -11551.5 + 11551. What is the nearest to 0.301 in -5, 2, -2, v? v Suppose z = -k - 8, 165*k - 162*k - 60 = 4*z. Which is the closest to -0.1? (a) -0.2 (b) 30/13 (c) z a Let m = 20.609 + -21.009. Which is the nearest to 0.2? (a) -1/2 (b) 1 (c) -6 (d) m d Let v = -14.41 - -12.41. Let r = 0.37 + -3.37. Let k = 2.9 + r. Which is the nearest to 2? (a) k (b) v (c) 3 c Let y = 1160.3 - 1160. Let j be 8/(-12) - (-2)/3. Suppose j = -2*f + 4*q - 2, -f + 0*q + 4*q + 3 = 0. What is the nearest to 2/7 in f, y, -0.1? y Let w = -0.33 - -0.347. Let y = -0.037 + w. Let u(n) = n**3 - 15*n**2 - 15*n - 17. Let t be u(16). Which is the nearest to t? (a) -4/3 (b) y (c) 0.4 a Let z = -42 - -25. Let g = 17.5 + z. Let v = 2.24 + -2.54. Which is the nearest to 5/7? (a) -1/3 (b) v (c) g c Suppose -4*q - 3*z + 94 = 0, -9*q - 4*z = -11*q + 36. Suppose 0 = -q*j + 4*j - 36. Which is the closest to j? (a) -2/9 (b) -5 (c) -1 c Suppose -2 = -10*p + 9*p. Let d(n) = -n**3 + n**2 - 4*n + 7. Let v be d(2). Which is the nearest to 4/7? (a) p (b) 0 (c) v b Let i = 9.938 + -7.738. Let v = -24 + 28. Which is the nearest to v? (a) i (b) 0.2 (c) -0.5 a Let y = 0 - 0. Let l = -1937/40549 - 1/989. What is the nearest to 0 in y, l, 3? y Let u =
{ "pile_set_name": "DM Mathematics" }
is 11000 - -11022? 22022 In base 3, what is -1 - -21022010? 21022002 In base 15, what is 0 + -cc? -cc In base 10, what is -51 + 74? 23 In base 14, what is 14 + -c? 6 In base 16, what is -33 + a? -29 In base 6, what is -23123 - 5? -23132 In base 10, what is 18 - 39? -21 In base 3, what is 2 + 2011022? 2011101 In base 6, what is -4 + -3350? -3354 In base 8, what is -14 - -74? 60 In base 5, what is 4 + -120? -111 In base 3, what is -10 + -21000022? -21000102 In base 3, what is 1012111 - -12? 1012200 In base 16, what is -3 + -d? -10 In base 3, what is 21211101 - 2? 21211022 In base 12, what is -2 + -89? -8b In base 15, what is 5 + 29? 2e In base 4, what is 213310 + 0? 213310 In base 16, what is 2b + 1c? 47 In base 10, what is 1 - -367? 368 In base 10, what is 147 + 40? 187 In base 2, what is -100110 - 11? -101001 In base 7, what is -2262 - 3? -2265 In base 4, what is -10 + 1102332? 1102322 In base 3, what is 1 - 220102? -220101 In base 9, what is 244 + -3? 241 In base 8, what is -13 - -655? 642 In base 2, what is -1011 - 11010110000? -11010111011 In base 9, what is 65 + 5? 71 In base 4, what is -12 - -33? 21 In base 7, what is 105 + -2? 103 In base 2, what is 101 + -10100011? -10011110 In base 5, what is -441 - -200? -241 In base 11, what is 862 - 4? 859 In base 10, what is 1271 + -4? 1267 In base 8, what is -1041 - -3? -1036 In base 4, what is -1131 + 102? -1023 In base 8, what is 12 + -10? 2 In base 15, what is 91 + 0? 91 In base 13, what is -4a08 - -2? -4a06 In base 13, what is -19c - 1b? -1ba In base 11, what is -41 + -21? -62 In base 13, what is 1 + 105a? 105b In base 4, what is -1 - -13222? 13221 In base 14, what is 23b - 6? 235 In base 6, what is -10045 + 2? -10043 In base 12, what is -7 + 301? 2b6 In base 2, what is -1001001100 + 1? -1001001011 In base 12, what is 20b8 - -4? 2100 In base 6, what is 1440 + -1? 1435 In base 13, what is -4 - 67? -6b In base 4, what is 11 - 31303? -31232 In base 5, what is 33 + -33? 0 In base 9, what is -312 + -1? -313 In base 4, what is 10 - 11123? -11113 In base 12, what is 2 + -8a7? -8a5 In base 15, what is 9 + -3a? -31 In base 8, what is 0 + 73? 73 In base 9, what is -2 + 2314? 2312 In base 16, what is -1 + 32? 31 In base 10, what is 22 - 124? -102 In base 12, what is 2 - 806? -804 In base 9, what is 14 + 1433? 1447 In base 12, what is a00 + 0? a00 In base 10, what is 18 + 2153? 2171 In base 15, what is -6 - -52? 4b In base 5, what is -1 - 11141? -11142 In base 2, what is 100100111001000 - 11? 100100111000101 In base 11, what is a277 + 0? a277 In base 2, what is 101 + 111000000111? 111000001100 In base 7, what is -2 + 2223? 2221 In base 11, what is -5 + 18? 13 In base 2, what is -1001111101001 + 1? -1001111101000 In base 2, what is -11 - -11101? 11010 In base 9, what is 5 - 333? -327 In base 8, what is -162 - -110? -52 In base 9, what is -41 - 3? -44 In base 15, what is 2 + a? c In base 6, what is 5 - -32150? 32155 In base 16, what is 163 - -1? 164 In base 13, what is -11bb + 2? -11b9 In base 2, what is 100 - 110000? -101100 In base 9, what is 5 - -8? 14 In base 10, what is 116 + -1? 115 In base 10, what is 4272 + 0? 4272 In base 13, what is -4 + bc9? bc5 In base 15, what is -1b2 + -26? -1d8 In base 10, what is 20 - -87? 107 In base 13, what is -3 + 157? 154 In base 13, what is 802c - 1? 802b In base 12, what is 520 + a? 52a In base 6, what is -2 + -510? -512 In base 15, what is -40 - 1a8? -1e8 In base 13, what is -42 + -6? -48 In base 10, what is -8 + 91? 83 In base 2, what is -10 + 1001110? 1001100 In base 14, what is -93 + -68? -11b In base 11, what is 385 + -16? 36a In base 6, what is 10 + 25? 35 In base 2, what is 0 + -101001100111? -101001100111 In base 2, what is 1000 - 1100? -100 In base 16, what is 9e + 1? 9f In base 2, what is 111110111 + 10000? 1000000111 In base 9, what is -1 + 458? 457 In base 7, what is -16506 - -1? -16505 In base 11, what is 15 - 23? -9 In base 11, what is -4 + -21? -25 In base 8, what is 236 + 32? 270 In base 13, what is -239 - 0? -239 In base 13, what is 7 + 1257? 1261 In base 14, what is -2 + 131? 12d In base 9, what is 313 + -4? 308 In base 15, what is 19 + -d? b In base 9, what is 327 + 28? 356 In base 13, what is -2 + -338? -33a In base 11, what is 168 + 2? 16a In base 12, what is 692 - 3? 68b In base 16, what is 4 + -15b? -157 In base 9, what is -1206 + 5? -1201 In base 15, what is 4 + a? e In base 3, what is -1111 + -2? -1120 In base 10, what is -10 + 4? -6 In base 5, what is 1004 + -1? 1003 In base 3, what is 12211 - -10? 12221 In base 16, what is 3d - -7? 44 In base 4, what is -2002 + -3? -2011 In base 2, what is 11101 + -1100? 10001 In base 7, what is 3422 + 20? 3442 In base 11, what is -57a + -8? -587 In base 12, what is 63 - 13? 50 In base 15, what is cb + 3? ce In base 16, what is 5 + -145? -140 In base 15, what is -3 + -413? -416 In base 8, what is 441 + 2? 443 In base 12, what is 103 - 1a? a5 In base 11, what is -4 + -515? -519 In base 15, what is 3a + -6? 34 In base 5, what is -102 - 432? -1034 In base 10, what is 22 + -18? 4 In base 11, what is 8139 + 5? 8143 In base 14, what is 1 - -7da? 7db In base 8, what is -1 - -2106? 2105 In base 6, what is -14 - -24002? 23544 In base 9, what is 14 + -48? -34 In base 5, what is 2 + 344? 401 In base 9, what is 12 - 573? -561 In base 16, what is a3 + -1? a2 In base 12, what is 0 + -80? -80 In base 3, what is 2 - -2020? 2022 In base 3, what is -20101 + 11? -20020 In base 13, what is -32 - 2? -34 In base 15, what is -d9 - 3b? -125 In base 12, what is 7091 + 2? 7093 In base 8, what is 12026 - 7? 12017 In base 2, what is -10101101001 - 11? -10101101100 In base 12, what is -100 + -1? -101 In base 13, what is -1 + 11b? 11a In base 11, what is -89a - -18? -882 In base 7, what is 322 - 10? 312 In base 11, what is 1 - 39? -38 In base 12, what is -2a9 - -1? -2a8 In base 3, what is -101010011 + -11? -101010022 In base 16, what is 77 - 9? 6e In base 5, what is 4 + -30? -21 In base 7, what is -3 + 1010? 1004 In base 2, what is 10101 - -100111010? 101001111 In base 11, what is -24 - 390? -404 In base 11, what is -194 + -16? -1aa In base 4, what is -2 - -103323? 103321 In base 7, what is -5 - -103? 65 In base 10, what is 2420 + 4? 2424 In base 3, what is -10 - 2211? -2221 In base 16, what is -3 - 670? -673 In base 9, what is 1383 + -1? 1382 In base 16, what is -f9b + 2? -f99 In base 8, what is 110 - -10? 120 In base 12, what is -146 - 5? -14b In base 2, what is -1011 + -111? -10010 In base 4, what is 1131 + 121? 1312 In base 4, what is -11311 - -10? -11301 In base 4, what is -10 - -10? 0 In base 8, what is -746 + 2? -744 In base 5, what is 24 - -241? 320 In base 14, what is -1b5 - 5? -1ba In base 10, what is 7 + 5? 12 In base 11, what is 1 - 38? -37 In base 3, what is 10 + 10200? 10210 In base 4, what is -23 - -102? 13 In base 7, what is -2 - 2456? -2461 In base 4, what is -10022 - 111? -10133 In base 6, what is -10143 - -2? -10141 In base 3, what is -20 - -1102201? 1102111 In base 6, what is -4511 + 5? -4502 In base 15, what is 5 + 1a? 20 In base 11, what is -49 + a? -3a In base 13, what is 8 - -41b? 426 In base 5, what is -1 - -11244? 11243 In base 6, what is 2403 + 5? 2412 In base 2, what is -101 + 1000110101? 1000110000 In base 12, what is -2 + 229? 227 In base 2, what is 1100110 + 101? 1101011 In base 10, what is 1 + -2691? -2690 In base 14, what is -65 + -5? -6a In base 15, what is -21 - -b? -15 In base 12, what is -1b5 + 5? -1b0 In base 7, what is 11 + 231? 242 In base 16, what is 5d + 21? 7e In base 8, what is -2467 - 0? -2467 In base 10, what is 16389 - 0? 16389 In base 14, what is -214 + 5? -20d In base 10, what is -21 + 40? 19 In base 3, what is 1000 - 10? 220 In base 9, what is -10 + 38? 28 In base 11, what is -6 - -3a? 34 In base 6, what is 14 + -41? -23 In base 3, what is -222 - -202? -20 In base 4, what is -33 + 10210? 10111 In base 12, what is 262 + -4? 25a In base 2, what is -11 + -1001011? -1001110 In base 2, what is 11101 + 100110000? 101001101 In base 5, what is 40 - 320? -230 In base 4, what is -1 - 1021? -1022 In base 10, what is -75 + 39? -36 In base 10, what is -3 + -2137? -2140 In base 4, what is 13 - 211110? -211031 In base 12, what is 4 - 58? -54 In base 2, what is 101 + -11010100? -11001111 In base 10,
{ "pile_set_name": "DM Mathematics" }
r + 1197. What is 1197*h(s) + 2*q(s)? 171*s**2 Let p(a) = -24*a**2 - 9*a + 9. Let r be (-78)/(-975) - 27/25. Let u be 20/(-8)*(r - (-2)/10). Let d(x) = -6*x**2 - 2*x + 2. Give u*p(i) - 9*d(i). 6*i**2 Let s(a) = 1260*a**2 + 14*a - 462. Let c(j) = 97*j**2 + j - 36. Calculate 77*c(p) - 6*s(p). -91*p**2 - 7*p Let t(f) = 2*f**2 + 12*f - 37. Let v(h) = -2*h**2 - 10*h + 30. Let i(z) = -4*t(z) - 5*v(z). Let b(w) = 2*w**2 + 2*w - 2. Give -3*b(o) + 2*i(o). -2*o**2 - 2*o + 2 Let i(s) = 21*s + 4. Let x(z) be the third derivative of -7*z**4/4 - 3*z**3/2 - 39*z**2 + 6*z. Calculate -9*i(k) - 4*x(k). -21*k Let q(g) = -3811*g + 7652*g - 14 - 3797*g. Let t(r) = 9*r - 3. Determine 6*q(j) - 28*t(j). 12*j Let x(z) = -35*z**2 + 9*z + 7. Let b(w) = 184*w**2 - 48*w - 36. Calculate -2*b(s) - 11*x(s). 17*s**2 - 3*s - 5 Let v(d) = d**2 + 8*d - 18. Let j be v(-10). Suppose -j*o - 21 + 31 = 0. Let w(u) = -9*u - 7. Let m(g) = -13*g - 9 - 1 + 1 - 1. Give o*m(l) - 7*w(l). -2*l - 1 Let h(p) = 27*p - 2. Let b(u) = 1062*u - 63. Give -b(r) + 45*h(r). 153*r - 27 Let g(n) = n + 4. Let u(r) = -r - 1. Let i be 8188/(-20) - 6/(-15). Let f = -410 - i. Give f*g(a) - 3*u(a). 2*a - 1 Let w(f) = 53*f - 6. Let a(l) = 5 + 409*l + 391*l - 854*l + 0. Give 6*a(z) + 5*w(z). -59*z Let b(n) = -17582*n - 149. Let c(p) = 587*p + 5. Give -5*b(x) - 149*c(x). 447*x Let f = 20254 - 20252. Let q(v) = -4*v**2 + 6*v + 1. Let t(d) = 16*d**2 - 25*d - 4. Determine f*t(j) + 9*q(j). -4*j**2 + 4*j + 1 Let u(m) = 261*m**2 - 9*m + 130. Let o(g) = -65*g**2 + 2*g - 29. What is -9*o(t) - 2*u(t)? 63*t**2 + 1 Let u(v) = 2*v - 6. Suppose 7*a = a + 72. Let o be 4/(24/10)*a/4. Let i(t) = -2*t + 6. Calculate o*u(p) + 6*i(p). -2*p + 6 Let u(v) = 8*v**2 + 3*v - 1. Let d(n) = 43 - n**2 + 46118*n - 42 - 46119*n. Determine 3*d(a) + u(a). 5*a**2 + 2 Let h(a) = -46*a - 125. Let p(o) = 12*o + 2. Determine h(b) + 3*p(b). -10*b - 119 Let r(t) = -t**2 - 4. Let j(m) = 0*m**2 - m**2 + 345 - 164 - 184. Suppose -42 = 2*z + 2. Let k = 15 + z. Calculate k*j(a) + 6*r(a). a**2 - 3 Let k(y) = 2*y. Let d(j) = -528*j + 2. Calculate d(s) - 5*k(s). -538*s + 2 Let c(z) = 490*z**2 - 12. Let q(v) = -1033*v**2 + 26. What is 7*c(w) + 3*q(w)? 331*w**2 - 6 Let n(u) be the third derivative of -u**4/6 - u**3/3 - 37*u**2 - 2*u - 2. Let h(f) = f. Let w(o) = 2. Let c(i) = 4*h(i) + w(i). Determine -7*c(k) - 6*n(k). -4*k - 2 Let r(s) = -43*s - 1. Let l(x) = -256*x - 1142. Give -l(j) + 6*r(j). -2*j + 1136 Let g(d) = d**2 + d. Let r(f) = -3*f**2 + 2. Suppose 4*j - 2*a + 5*a - 38 = 0, -4 = 2*a. Let s = -19 + j. Let c be -6*(-2)/8*s/(-12). Calculate c*r(k) + g(k). -2*k**2 + k + 2 Let n(o) = 5*o + 240. Let d(g) = -6*g - 227. Determine -3*d(b) - 4*n(b). -2*b - 279 Let y(j) be the second derivative of -j**3/6 + 4*j**2 - j - 81. Let t(u) = -u - 1. Determine 6*t(d) + y(d). -7*d + 2 Let a(w) = -179*w**2 - 57*w + 5. Let c(r) = -88*r**2 - 33*r + 2. Calculate -4*a(f) + 7*c(f). 100*f**2 - 3*f - 6 Let n(k) = -249*k**2 + 8*k + 11. Let y(c) = -124*c**2 + 3*c + 5. Determine 2*n(j) - 5*y(j). 122*j**2 + j - 3 Let m(v) = 1365*v**3 - 273*v**2 - 182. Let w(i) = -91*i**3 + 18*i**2 + 12. What is 12*m(y) + 182*w(y)? -182*y**3 Let r(d) = -4*d**2 - 7*d - 21. Let h(c) be the first derivative of -c**3/3 - c**2 - 7*c - 215. What is 14*h(v) - 4*r(v)? 2*v**2 - 14 Let r(f) = 21898*f - 21898*f - 7 + 9*f**3. Let h be (4 - (5 - -4)) + -2. Let x(u) be the second derivative of -2*u**5/5 + 3*u**2 + u. Calculate h*x(i) - 6*r(i). 2*i**3 Let y(r) be the second derivative of -r**4/12 - 5*r**3/6 - r**2 + 32975*r. Let u(b) = 5*b**2 + 26*b + 11. Let q = -23 - -12. Give q*y(h) - 2*u(h). h**2 + 3*h Let a(p) = -p. Let o(c) = -10*c**2 - 30*c. Suppose -4 - 15 + 2 = 17*w. Determine w*o(v) + 30*a(v). 10*v**2 Let h(w) = 176*w**3 + 33*w**2. Let o = 5554 + -5550. Let v(t) = -11*t**3 - 2*t**2. Calculate o*h(f) + 66*v(f). -22*f**3 Let z(h) = -h. Let k(j) = 36*j. Let c(w) = -w. Let y(f) = -60*c(f) - 2*k(f). Suppose 690 = -67*l - 623*l. Determine l*y(r) + 3*z(r). 9*r Suppose 0 = -b - 2*b + n - 628, -b - 4*n = 192. Let j = -203 - b. Let g(s) = 2*s**2 + 2*s - 8. Let t(r) = 2*r**2 + 2*r - 7. What is j*g(i) - 6*t(i)? -2*i**2 - 2*i + 2 Let b(g) = 7*g**3 + 7*g + 798. Let k(p) = -13*p**3 - 13*p - 1593. What is -11*b(l) - 6*k(l)? l**3 + l + 780 Let t(p) = -p**3 - 6*p**2 - p + 2. Let a(h) = 2*h**3 + 42*h**2 + 5*h - 262. Determine -a(s) - 7*t(s). 5*s**3 + 2*s + 248 Let h(g) = -1221*g + 2. Let u(s) = 1222*s - 3. Give 5*h(k) + 4*u(k). -1217*k - 2 Let z(m) = 325*m**3 + m**2 + 12*m. Let t(d) = d**3 + 4*d. Give -3*t(o) + z(o). 322*o**3 + o**2 Suppose 4 = 3*m - 5. Let p(a) = -2*a**2 - a - 4. Let u(n) = -n**2 - 1. Let f(r) = m*u(r) - p(r). Let k(o) = 3*o**2 + 2*o. Calculate f(h) + k(h). 2*h**2 + 3*h + 1 Let c(f) = -5*f**3 + 3*f**2 - 3. Let l be (4 - (-88)/(-20)) + 51/15. Let j(u) = 5*u**3 + 2 + 9*u**3 - 2*u**2 - 9*u**l. Determine 4*c(t) + 6*j(t). 10*t**3 Let s(a) = 9*a**2 - 11*a - 1. Let t(h) = 5*h**2 - 2*h + 23. Let j(x) = 7*x**2 - 2*x + 37. Let w(i) = -5*j(i) + 8*t(i). Give -3*s(n) + 5*w(n). -2*n**2 + 3*n - 2 Let w(l) = -115*l - 675. Let r(b) = 23*b + 142. Calculate -11*r(g) - 2*w(g). -23*g - 212 Let d(i) = 3*i**2 + 3*i - 122 - i + 68 + 41. Let a(r) = 1. Calculate 5*a(z) + d(z). 3*z**2 + 2*z - 8 Let y(j) = -116 + 41 + 31 + 3*j**3 + 43 - 2*j**3. Let v(r) = r**3 - 4*r**2 + 6. What is -v(w) - 6*y(w)? -7*w**3 + 4*w**2 Let h(f) = -22600*f**2 + 7*f. Let a(c) = 15069*c**2 - 5*c. Give 7*a(q) + 5*h(q). -7517*q**2 Let u(i) = -134*i - 1406. Let m(n) = -84*n - 937. Give 8*m(l) - 5*u(l). -2*l - 466 Let n(k) = 5*k**3 - 52*k**2 - 6*k. Let l(o) = -15*o**3 + 158*o**2 + 17*o. Give 6*l(y) + 17*n(y). -5*y**3 + 64*y**2 Let y(i) = -1720*i + 2. Let z(b) = -6885*b + 7. What is 11*y(m) - 3*z(m)? 1735*m + 1 Let k(z) = -164*z**2 - 42*z + 10. Let h(c) = 5*c - 1. Give -8*h(i) - k(i). 164*i**2 + 2*i - 2 Let l(i) = 861*i**3 - 21*i**2 + 5*i + 10. Let k(q) = -861*q**3 + 17*q**2 - 4*q - 8. Calculate -5*k(d) - 4*l(d). 861*d**3 - d**2 Let k(p) be the third derivative of -p**6/120 + p**5/60 - p**4/6 + 867*p**2. Let b(n) = 2*n**3 - 3*n**2 + 9*n. What is -2*b(u) - 5*k(u)? u**3 + u**2 + 2*u Suppose 0 = -432*q + 464*q - 288. Let z(l) = 13*l**3 - 9*l**2 + 5*l. Let t(r) = -r - 2*r**2 + 4*r**2 + 0*r - 3*r**3. What is q*t(n) + 2*z(n)? -n**3 + n Let b(q) = 50*q**3 + 18*q**2 + q + 4. Let r(w) = -9*w**3 - 3*w**2 - 1. Let f(d) = 2*b(d) + 11*r(d). Let g(l) = -1. What is -f(p) + 2*g(p)? -p**3 - 3*p**2 - 2*p + 1 Let o(j) be the first derivative of -9*j**2/2 - 3*j - 2. Let i(b) = 71*b - 6*b - 1 - 15*b - 51*b. What is 4*i(n) - o(n)? 5*n - 1 Let r(f) = -4*f - 3. Suppose -2*z + 15 = -7*z. Let y(x) = -87*x + 8*x - 28 + 27*x + 17*x. Calculate z*y(c) + 28*r(c). -7*c Let y(j) = -j**3 - j + 1. Let q(b) = 3*b**2 - 3 - 3*b**2 + 27 - 6*b**3 - 24*b**3 - 24*b. Let g(n) = -n + 1. Let i be g(0). Determine i*q(o) - 24*y(o). -6*o**3 Let c(m) = -415. Let t(n) = -311. Let s(q) = 3*c(q) - 4*t(q). Let h(b) = 10*b + 9. Calculate -h(p) - 6*s(p). -10*p - 3 Let d(m) = 3386*m**3 + 3382*m**3 + m + 5*m**2 - 6759*m**3. Let c(p) = -4*p**3 - 3*p**2. Determine 5*c(b) + 3*d(b). 7*b**3 + 3*b Let g(a) = -a + 4. Let x be 2/3 - 618/9 - 4. Let o be 8/(-6)*x/32. Let p(t) = 2*t - 4. What is o*p(i) + 4*g(i)? 2*i + 4 Let g be (2 - (-12)/(-9))*(26 + -32). Let n(x) = 6*x**2 - 15*x. Suppose 8*r - 3*r - 11 = -b, -r = b - 19. Let h(l) = l**2 - 3*l. Calculate b*h(p) + g*n(p). -3*p**2 - 3*p Let p(c) = -11*c**2 - 15*c - 10. Let n(h) = -10*h**2 - 13*h - 9. Let b(k) = -6*n(k) + 5*p(k). Let j(s) = 10*s**2 + 7*s + 9. Give -9*b(q) + 4*j(q). -5*q**2 + q Let j(r) = 5*r**2 + 70*r - 1. Let a(c) = -11*c**2 - 150*c + 3. Determine 6*a(y) + 13*j(y). -y**2 + 10*y + 5 Let h(z) be the first derivative of z**3 + z**2/2 + 3*z + 5601. Let o(i) = -i**2 - 1. Give h(v) + 2*o(v). v**2 + v + 1 Let s(b) = -9*b**3 + 7*b**2 + b + 7. Let p(d) = -4*d**3 + 3*d**2 + 3. Suppose -64 = 15*c + 80 - 39. Give c*p(v) + 3*s(v). v**3 + 3*v Let h(b) = -6*b**3 + 22*b**2 - 156*b - 114. Let q(s) = s**3 - 4*s**2 + 31*s + 23. Calculate -2*h(g) - 11*q(g). g**3 - 29*g - 25 Let n(y) = -4 + 2 + 16*y - 17*y. Let x(u) be the second derivative of -u**2/2 + 1792*u. Give n(i) - 3*x(i). -i + 1 Let s(t) = -3*t**3 + 21*t**2. Let a(b) = 11*b - 19*b - 46*b + 53*b. What is 2*a(k) - s(k)? 3
{ "pile_set_name": "DM Mathematics" }
+ 1)*(2*v + 1)/3 Suppose -321*n + 633 = 207*n - 829 + 406. Suppose -5*z + 15 = -10. Solve 24*q**4 + 33/2*q - 21/2*q**z - 21*q**n - 6*q**3 - 3 = 0 for q. -1, 2/7, 1 Factor 61357/3*h**2 + 49/12*h**4 + 274576/3 + 595*h**3 - 89080*h. (h - 2)**2*(7*h + 524)**2/12 Let b(w) be the second derivative of -w**6/15 + 2*w**5/5 - 5*w**4/6 + 2*w**3/3 + 1268*w. Suppose b(i) = 0. Calculate i. 0, 1, 2 Suppose 3/4*p**5 + 63*p**3 - 255/4*p + 261/2 + 66*p**4 - 393/2*p**2 = 0. What is p? -87, -2, -1, 1 Factor 3/7*j**5 - 6/7*j**4 - 3*j**3 + 0 - 12/7*j**2 + 0*j. 3*j**2*(j - 4)*(j + 1)**2/7 Let v = 11 - 7. Let k(i) = -10*i**2. Let o(z) = -13*z**2. Let p(j) = 5*k(j) - 4*o(j). Let c(x) = 1. Let a(d) = v*c(d) - 2*p(d). Let a(y) = 0. Calculate y. -1, 1 Let l(f) be the second derivative of -f**5/150 + f**4/6 + 11*f**3/15 + 17*f**2/15 + 4*f + 14. Solve l(x) = 0 for x. -1, 17 Let p(v) be the second derivative of v**4/96 + 27*v**3/4 + 323*v**2/16 + 986*v. Suppose p(a) = 0. What is a? -323, -1 Let o be (-5)/(-140)*-7 + 4/(-320)*-116. Solve -48/5*d**3 + 96/5 + o*d**5 - 48/5*d**2 + 96/5*d + 6/5*d**4 = 0 for d. -2, -1, 2 Let k(j) be the third derivative of j**7/945 - j**6/540 - 2*j**5/45 - 2*j**2 - 7*j + 23. Factor k(d). 2*d**2*(d - 4)*(d + 3)/9 Let v = -15733/152 + 1988/19. Suppose -r + 8 = -2*o, -5*r - 2*o = -7*o - 25. Determine u, given that v + 3/2*u + 3/8*u**r = 0. -3, -1 Determine k so that 364/5*k - 34 + 2/5*k**4 + 4*k**3 - 216/5*k**2 = 0. -17, 1, 5 Let v(l) = -l**5 + l**3 - 22*l**2 - 1. Let h(q) = 5*q**5 - 20*q**4 + q**3 + 194*q**2 - 6*q - 105. Let a(r) = -2*h(r) - 6*v(r). Determine t, given that a(t) = 0. -2, -1, 1, 3, 9 Let n be (-2)/(-2) - (1407/9380 + 6/(-15)). Factor 0 + k**2 + k - 13/4*k**3 + n*k**4. k*(k - 2)*(k - 1)*(5*k + 2)/4 Let n(c) = 72*c + 283. Let a be n(-6). Let u = -145 - a. Factor 0 + 0*p + 0*p**2 - 4/7*p**u + 4/7*p**3. -4*p**3*(p - 1)/7 Let p be (-1)/3*1 - 76/(-3). Let z = p + -21. Factor -u + 2*u + z + u - 2*u**2 + 0*u. -2*(u - 2)*(u + 1) Let l(o) be the second derivative of o**6/120 - 3*o**5/20 - 5*o**4/12 - 50*o**2 - 2*o + 38. Let x(y) be the first derivative of l(y). Find q such that x(q) = 0. -1, 0, 10 Suppose 2*r + 5*u = 10, 5*r + 1322*u = 1323*u - 2. Let -3/4*b**4 + 0 + 3/4*b**2 + 0*b + r*b**3 = 0. What is b? -1, 0, 1 Let v(s) be the second derivative of 1/28*s**7 + 0*s**2 + 0*s**6 + 4*s - 2*s**3 + 1 - 33/40*s**5 - 9/4*s**4. Solve v(q) = 0. -2, -1, 0, 4 Suppose 3 - 94*n**2 - 9*n + 36 + 5 + 43*n**2 + 46*n**2 = 0. Calculate n. -4, 11/5 Let k(g) = 5*g**5 + 7*g**4 + 11*g**3 - 8*g**2 - 24*g - 7. Let u(z) = 2*z**5 + 3*z**4 + 6*z**3 - 4*z**2 - 12*z - 3. Let m(d) = 6*k(d) - 14*u(d). Solve m(l) = 0. -3, -1, 0, 2 What is h in -140013 - 24044 - 1521*h - 4*h**2 - 129707 - 647*h = 0? -271 Let j(d) be the second derivative of -d**5/570 + 4*d**4/57 - 64*d**3/57 - 19*d**2/2 + 75*d. Let k(a) be the first derivative of j(a). Let k(t) = 0. Calculate t. 8 Let r(v) be the first derivative of -20/27*v**3 + 0*v**4 + 8/45*v**5 + 4/3*v + 1/9*v**2 + 53 - 1/27*v**6. Let r(b) = 0. Calculate b. -1, 1, 2, 3 Let y(c) be the second derivative of -c**4/42 + 296*c**3/21 - 84*c**2 + c + 1051. Determine p, given that y(p) = 0. 2, 294 Let v(b) = -186*b**2 - 15*b - 33. Let n be v(-3). Let r = 1664 + n. Let 12/7*x**5 + 0 + 45/7*x**3 + 3*x**r + 3/7*x + 39/7*x**4 = 0. What is x? -1, -1/4, 0 Let r(v) be the third derivative of 53/15*v**5 + 44/105*v**8 + 16/75*v**7 - 89/30*v**6 - 28/15*v**4 + 34 + v**2 + 8/15*v**3 + 0*v. Suppose r(x) = 0. What is x? -2, 2/11, 1/4, 1 Suppose 15*n = 2*n + n. Let a be 3/1 - (-16)/8. Let -4/9*i**4 + n + 0*i**3 + 0*i - 2/9*i**a + 0*i**2 = 0. What is i? -2, 0 Find w, given that 52 + 308/3*w + 34/3*w**3 - 1/3*w**4 + 187/3*w**2 = 0. -2, -1, 39 Let f(a) be the third derivative of -60*a**2 + 1/12*a**5 + 0*a - 25/3*a**3 + 0 - 15/8*a**4. Find b such that f(b) = 0. -1, 10 Let n(g) = -12438*g - 124372. Let w be n(-10). Determine m, given that 1/3*m**5 + 28/3*m - 2*m**2 - 11/3*m**3 + 0*m**4 + w = 0. -2, -1, 2, 3 Let o(i) be the first derivative of i**6/16 + 93*i**5/40 - 9*i**4/32 - 91*i**3/8 + 93*i**2/8 + 4091. Solve o(z) = 0 for z. -31, -2, 0, 1 Let x = -1765 - -1773. Suppose x + 34 = 21*j. Factor 0*c + 0 - 2/3*c**j. -2*c**2/3 Let a(d) be the third derivative of 0*d + 3/10*d**6 + 0 + 2/105*d**7 - 25/6*d**4 - 1/5*d**5 + 139*d**2 + 12*d**3. Factor a(v). 4*(v - 1)**2*(v + 2)*(v + 9) Let y = 107786/407 - 9792/37. Factor 0*s**2 - y*s + 0 + 2/11*s**3. 2*s*(s - 1)*(s + 1)/11 Let j(p) = 21*p**2 - 84*p + 90. Suppose 12*z = 10*z - 4. Let s(y) = -5*y**2 + 21*y - 22. Let o(l) = z*j(l) - 9*s(l). Let o(a) = 0. Calculate a. 1, 6 Suppose -56/15*v**3 + 2/15*v**4 + 896*v + 7680 - 568/15*v**2 = 0. What is v? -10, 24 Let g = -4637 - -4641. Let v(h) be the second derivative of -9/4*h**g + 1/10*h**6 - 3/20*h**5 + 0 - 11/2*h**3 - 14*h - 6*h**2. Find t, given that v(t) = 0. -1, 4 Find i, given that -138*i**2 - 672 + 1520/3*i - 2/3*i**4 + 16*i**3 = 0. 4, 7, 9 Suppose -735*b - 831*b - 22 = -6286. Determine r, given that -1/4*r**b + 9/4*r**3 - 9/4*r + 1/4*r**2 + 0 = 0. -1, 0, 1, 9 Suppose -227*v + 174*v + 106 = 0. Factor -5/3*j - v + 1/3*j**2. (j - 6)*(j + 1)/3 Let v(l) be the first derivative of 2/45*l**5 - 2/3*l**2 + 0*l - 183 + 0*l**4 - 14/27*l**3. Factor v(d). 2*d*(d - 3)*(d + 1)*(d + 2)/9 Suppose 225 - 211 = -2*b. Let h be (-48)/40*(b + 2)/10. Find c such that -2/5*c + h*c**2 - 1/5 = 0. -1/3, 1 Let d(q) = -2*q + 317. Let c be d(0). Let -11110*y**2 - 1870*y**3 - c*y**3 - y**5 - 8573*y**2 - 81*y**4 = 0. What is y? -27, 0 Let j(m) = 3*m**2 + 440*m - 507. Let s(g) = 4*g**2 + 435*g - 511. Let f(k) = -9*j(k) + 8*s(k). Factor f(r). 5*(r - 95)*(r - 1) Let h(m) = 4*m**4 - 4*m**3 - 233*m**2 - 567*m. Let q(r) = -2*r**4 + 2*r**3 + 117*r**2 + 283*r. Let v(n) = 5*h(n) + 9*q(n). Factor v(g). 2*g*(g - 9)*(g + 4)**2 Let w = -31293 + 156477/5. Let z = 104/35 + -18/7. Determine m so that -8/5*m**4 + 0 - 2/5*m**5 - z*m - w*m**3 - 8/5*m**2 = 0. -1, 0 Factor 1/6*v**3 + 4*v + 7/3*v**2 + 0. v*(v + 2)*(v + 12)/6 Suppose 3/4*i**2 - 3/4*i + 0 = 0. Calculate i. 0, 1 Let v(g) be the third derivative of -2/105*g**5 + 0*g**3 + 0 + 0*g + 27*g**2 + 1/42*g**4 + 4/735*g**7 - 1/210*g**6. Determine k so that v(k) = 0. -1, 0, 1/2, 1 Suppose -2*r + 50*p = 45*p + 1, -4*r + 4*p + 4 = 0. Let j = 986 + -858. Factor j*w + 2/3*w**3 + 16*w**r + 1024/3. 2*(w + 8)**3/3 Let d = 20341/3 - 6780. Let w(r) be the first derivative of 1/8*r**4 + d*r**3 - 10 + 0*r + 1/4*r**2. Factor w(j). j*(j + 1)**2/2 Let v(u) be the first derivative of -u**6/420 + u**5/70 + 13*u**4/84 - 5*u**3/7 - 72*u**2 - 3. Let k(f) be the second derivative of v(f). Factor k(n). -2*(n - 5)*(n - 1)*(n + 3)/7 Factor -t**2 + 68 + 58*t - 18 - 53*t. -(t - 10)*(t + 5) Determine y so that -14682*y**2 - 18*y**4 - 193*y**3 + 153216*y + 19*y**4 - 4*y**4 + 577*y**3 - 477603 = 0. 7, 57 Suppose -120/7*j + 675/7 - 3/7*j**2 = 0. What is j? -45, 5 Factor 0 + 474*v**2 + 4/3*v**3 + 710/3*v. 2*v*(v + 355)*(2*v + 1)/3 Let d be (4/(-8))/(2/(-8)). Find p such that 5*p**4 + 11*p**3 + 21*p - 35*p**d - 2*p - p**3 + p = 0. -4, 0, 1 Suppose 5*v**4 - 38*v**2 + 261*v - 31*v - 12*v**3 - 57*v**2 - 8*v**3 + 59 - 179 = 0. What is v? -4, 1, 6 Let y be (0 + 15/6)*(278/240 + 357/8568). Factor -82/5*a - 44/5*a**2 - 8 - 2/5*a**y. -2*(a + 1)**2*(a + 20)/5 Let s(f) be the first derivative of -49 + 0*f - 1/3*f**3 - f**2. Let s(j) = 0. Calculate j. -2, 0 Let h(d) be the first derivative of 2*d**6/27 + 26*d**5/45 - 28*d**4/9 - 206*d**3/27 - 4*d**2 - 2193. Determine r, given that h(r) = 0. -9, -1, -1/2, 0, 4 Suppose -243*f + 223*f = -83 - 17. Let -56/5*h**4 - 134/5*h**2 + 129/5*h**3 + 12*h - 8/5 + 9/5*h**f = 0. What is h? 2/9, 1, 2 Let x(f) be the first derivative of f**3/5 + 141*f**2/10 + 1026*f/5 + 5870. Factor x(i). 3*(i + 9)*(i + 38)/5 Let d(c) be the second derivative of 2*c**6/15 + 48*c**5/5 + 622*c**4/3 + 736*c**3 + 1058*c**2 - c + 2472. Factor d(b). 4*(b + 1)**2*(b + 23)**2 Let 2*w**4 + 39*w + 10178076*w**2 - 3*w**4 - 10178047*w**2 - 11*w**3 = 0. What is w? -13, -1, 0, 3 Let x(v) be the second derivative of -v**6/540 + v**5/30 + 5*v**4/54 - 13*v**2 - 100*v - 1. Let l(b) be the first derivative of x(b). Let l(y) = 0. What is y? -1, 0, 10 Let j(m) be the first derivative of -10 + 0*m**2 + 0*m**4 - 1/2*m**
{ "pile_set_name": "DM Mathematics" }
Calculate the remainder when 159 is divided by 26. 3 What is the remainder when 5375 is divided by 256? 255 Calculate the remainder when 197 is divided by 53. 38 Calculate the remainder when 440 is divided by 13. 11 What is the remainder when 246 is divided by 3? 0 Calculate the remainder when 70 is divided by 45. 25 Calculate the remainder when 143 is divided by 34. 7 What is the remainder when 394 is divided by 19? 14 Calculate the remainder when 1279 is divided by 16. 15 Calculate the remainder when 87 is divided by 38. 11 What is the remainder when 360 is divided by 5? 0 What is the remainder when 567 is divided by 15? 12 What is the remainder when 6491 is divided by 15? 11 What is the remainder when 48 is divided by 13? 9 What is the remainder when 228 is divided by 58? 54 What is the remainder when 437 is divided by 215? 7 Calculate the remainder when 272 is divided by 10. 2 What is the remainder when 969 is divided by 170? 119 Calculate the remainder when 213 is divided by 27. 24 Calculate the remainder when 1114 is divided by 5. 4 What is the remainder when 114 is divided by 3? 0 Calculate the remainder when 32997 is divided by 15. 12 What is the remainder when 496 is divided by 36? 28 What is the remainder when 126 is divided by 16? 14 Calculate the remainder when 359 is divided by 13. 8 What is the remainder when 540 is divided by 252? 36 Calculate the remainder when 76 is divided by 11. 10 Calculate the remainder when 25 is divided by 13. 12 Calculate the remainder when 111 is divided by 31. 18 What is the remainder when 794 is divided by 6? 2 Calculate the remainder when 172 is divided by 88. 84 Calculate the remainder when 626 is divided by 75. 26 What is the remainder when 25 is divided by 11? 3 What is the remainder when 420 is divided by 59? 7 Calculate the remainder when 3699 is divided by 460. 19 Calculate the remainder when 18 is divided by 1. 0 What is the remainder when 468 is divided by 111? 24 What is the remainder when 5821 is divided by 56? 53 Calculate the remainder when 277 is divided by 27. 7 Calculate the remainder when 3660 is divided by 51. 39 Calculate the remainder when 565 is divided by 129. 49 What is the remainder when 7562 is divided by 62? 60 Calculate the remainder when 664 is divided by 111. 109 Calculate the remainder when 455 is divided by 31. 21 Calculate the remainder when 158 is divided by 34. 22 What is the remainder when 803 is divided by 240? 83 What is the remainder when 9642 is divided by 72? 66 Calculate the remainder when 83 is divided by 21. 20 Calculate the remainder when 10847 is divided by 32. 31 Calculate the remainder when 48 is divided by 10. 8 What is the remainder when 2497 is divided by 1243? 11 What is the remainder when 22 is divided by 14? 8 What is the remainder when 165 is divided by 86? 79 Calculate the remainder when 1682 is divided by 1673. 9 What is the remainder when 111 is divided by 69? 42 What is the remainder when 17247 is divided by 138? 135 Calculate the remainder when 505 is divided by 58. 41 What is the remainder when 16598 is divided by 50? 48 What is the remainder when 184 is divided by 62? 60 Calculate the remainder when 3012 is divided by 45. 42 What is the remainder when 48 is divided by 30? 18 Calculate the remainder when 4525 is divided by 151. 146 What is the remainder when 1245 is divided by 50? 45 What is the remainder when 2956 is divided by 99? 85 Calculate the remainder when 184 is divided by 37. 36 Calculate the remainder when 471 is divided by 43. 41 Calculate the remainder when 34 is divided by 21. 13 Calculate the remainder when 175 is divided by 44. 43 What is the remainder when 907 is divided by 10? 7 Calculate the remainder when 951 is divided by 56. 55 Calculate the remainder when 1189 is divided by 26. 19 What is the remainder when 4123 is divided by 1029? 7 Calculate the remainder when 779 is divided by 23. 20 Calculate the remainder when 235 is divided by 21. 4 What is the remainder when 336 is divided by 17? 13 What is the remainder when 299 is divided by 75? 74 Calculate the remainder when 400 is divided by 15. 10 Calculate the remainder when 1646 is divided by 328. 6 What is the remainder when 571 is divided by 52? 51 Calculate the remainder when 589 is divided by 16. 13 What is the remainder when 171 is divided by 29? 26 What is the remainder when 779 is divided by 30? 29 What is the remainder when 52 is divided by 11? 8 Calculate the remainder when 950 is divided by 56. 54 What is the remainder when 124 is divided by 21? 19 Calculate the remainder when 1097 is divided by 44. 41 Calculate the remainder when 89 is divided by 43. 3 Calculate the remainder when 411 is divided by 84. 75 Calculate the remainder when 139 is divided by 136. 3 Calculate the remainder when 1172 is divided by 25. 22 What is the remainder when 1517 is divided by 19? 16 What is the remainder when 243 is divided by 42? 33 What is the remainder when 237 is divided by 31? 20 Calculate the remainder when 288 is divided by 97. 94 Calculate the remainder when 204 is divided by 65. 9 What is the remainder when 3420 is divided by 286? 274 Calculate the remainder when 176 is divided by 10. 6 Calculate the remainder when 42 is divided by 10. 2 Calculate the remainder when 218 is divided by 37. 33 What is the remainder when 579 is divided by 211? 157 Calculate the remainder when 14 is divided by 4. 2 What is the remainder when 599 is divided by 67? 63 What is the remainder when 132 is divided by 35? 27 What is the remainder when 49 is divided by 17? 15 Calculate the remainder when 259 is divided by 258. 1 Calculate the remainder when 1109 is divided by 30. 29 Calculate the remainder when 302 is divided by 81. 59 What is the remainder when 1379 is divided by 198? 191 Calculate the remainder when 2445 is divided by 175. 170 Calculate the remainder when 1297 is divided by 637. 23 What is the remainder when 48 is divided by 29? 19 What is the remainder when 731 is divided by 32? 27 Calculate the remainder when 935 is divided by 18. 17 Calculate the remainder when 197 is divided by 63. 8 What is the remainder when 45 is divided by 22? 1 What is the remainder when 3279 is divided by 67? 63 What is the remainder when 156 is divided by 17? 3 What is the remainder when 106 is divided by 35? 1 What is the remainder when 810 is divided by 212? 174 Calculate the remainder when 9249 is divided by 37. 36 What is the remainder when 123 is divided by 4? 3 What is the remainder when 6798 is divided by 2260? 18 Calculate the remainder when 227 is divided by 37. 5 Calculate the remainder when 139 is divided by 79. 60 Calculate the remainder when 748 is divided by 15. 13 What is the remainder when 2666 is divided by 36? 2 What is the remainder when 2638 is divided by 8? 6 What is the remainder when 191 is divided by 52? 35 Calculate the remainder when 181 is divided by 48. 37 Calculate the remainder when 1054 is divided by 173. 16 What is the remainder when 394 is divided by 53? 23 Calculate the remainder when 67 is divided by 14. 11 Calculate the remainder when 184 is divided by 108. 76 What is the remainder when 1511 is divided by 17? 15 Calculate the remainder when 157 is divided by 7. 3 Calculate the remainder when 43799 is divided by 121. 118 Calculate the remainder when 1126 is divided by 49. 48 Calculate the remainder when 486 is divided by 146. 48 What is the remainder when 1758 is divided by 875? 8 Calculate the remainder when 4417 is divided by 26. 23 What is the remainder when 148 is divided by 72? 4 What is the remainder when 1603 is divided by 126? 91 Calculate the remainder when 2387 is divided by 104. 99 What is the remainder when 944 is divided by 63? 62 What is the remainder when 268 is divided by 224? 44 Calculate the remainder when 691 is divided by 329. 33 Calculate the remainder when 308 is divided by 24. 20 Calculate the remainder when 19 is divided by 11. 8 Calculate the remainder when 797 is divided by 80. 77 Calculate the remainder when 2399 is divided by 80. 79 Calculate the remainder when 73 is divided by 61. 12 What is the remainder when 125 is divided by 35? 20 Calculate the remainder when 553 is divided by 111. 109 What is the remainder when 126 is divided by 4
{ "pile_set_name": "DM Mathematics" }
038 Let -2*m**4/3 + 42068*m**3/3 - 601914*m**2 + 3610596*m - 3022704 = 0. Calculate m. 1, 6, 36, 20991 Factor u**3/4 - 1861*u**2/2 + 377295*u/4 - 1850607/2. (u - 3618)*(u - 93)*(u - 11)/4 Factor w**2/2 + 141451*w/2 + 3322994. (w + 47)*(w + 141404)/2 Find y such that -5*y**3 - 40887*y**2 + 270086*y + 114576 = 0. -8184, -2/5, 7 Factor -d**2 + 81929412*d + 81929413. -(d - 81929413)*(d + 1) Find v, given that 5*v**5 - 120435*v**4 + 968174245*v**3 - 2607227052705*v**2 + 77402516292090*v - 144383867840520 = 0. 2, 28, 8019 Find j, given that -3*j**2 + 9505437*j = 0. 0, 3168479 Let 3*w**4/8 + 2835*w**3/8 - 11661*w**2/8 - 257607*w/8 + 697515/4 = 0. What is w? -949, -10, 7 Determine g so that g**2/5 + 19738*g/5 - 4168923/5 = 0. -19947, 209 Find k such that 21*k**4/5 - 8196*k**3/5 - 2348337*k**2/5 + 3030468*k/5 - 673956/5 = 0. -193, 2/7, 1, 582 Determine u, given that -34*u**5/11 + 602*u**4/11 + 1812*u**3/11 - 24544*u**2/11 - 85696*u/11 - 23040/11 = 0. -4, -5/17, 8, 18 Find d such that -d**4/5 + 4344*d**3/5 + 4346*d**2/5 - 4344*d/5 - 869 = 0. -1, 1, 4345 Factor 4*n**2 - 486464*n + 972912. 4*(n - 121614)*(n - 2) What is l in 4*l**4 + 4203896*l**3 + 1104558960292*l**2 + 6627240256992*l + 9940803633216 = 0? -525484, -3 Factor -96*v**2/17 - 640126*v/17 + 13336/17. -2*(v + 6668)*(48*v - 1)/17 What is f in 406*f**3/11 + 119668*f**2/11 - 30094*f/11 - 1180/11 = 0? -295, -1/29, 2/7 Determine l so that -l**4 + 853*l**3 + 87372*l**2 + 2528820*l + 18394992 = 0. -42, -11, 948 Determine u so that -3*u**2/2 + 999*u/2 - 13635 = 0. 30, 303 Factor -3*s**2 - 18444*s - 23728185. -3*(s + 1833)*(s + 4315) Let 3*a**2 - 1777485*a - 12442542 = 0. Calculate a. -7, 592502 Factor 4*w**2/3 + 350690372*w/3 - 116896792. 4*(w - 1)*(w + 87672594)/3 Determine b so that 5*b**2 + 2725960*b - 357186565 = 0. -545323, 131 Factor 7442*z**2/13 - 6196624*z/13 + 1289913632/13. 2*(61*z - 25396)**2/13 Factor -3*y**4 + 119691336*y**3 - 1193834659455408*y**2. -3*y**2*(y - 19948556)**2 Factor -2*c**2/5 - 37512*c/5 + 1210624. -2*(c - 160)*(c + 18916)/5 Find s, given that -s**2/9 + 56732*s/9 - 2267680/9 = 0. 40, 56692 Let 267*v**5/7 - 984*v**4 + 41049*v**3/7 - 14376*v**2/7 - 77268*v/7 - 14688/7 = 0. Calculate v. -1, -18/89, 2, 8, 17 Factor -2*q**4/7 - 3164516*q**3/7. -2*q**3*(q + 1582258)/7 Suppose 2*l**3 + 6080*l**2 + 114938*l + 422940 = 0. Calculate l. -3021, -14, -5 What is b in -4*b**5 - 1575772*b**4 + 12606360*b**3 - 28364472*b**2 + 108*b + 42546708 = 0? -393951, -1, 3 Suppose k**3/4 + 459395*k**2/4 + 4593650*k + 45935500 = 0. Calculate k. -459355, -20 Factor 18*l**4/7 + 2690*l**3 + 6738642*l**2/7 + 881903754*l/7 + 20414106756/7. 2*(l + 339)**3*(9*l + 262)/7 Find v such that 5*v**2 + 37610*v - 11286895 = 0. -7811, 289 Factor -k**3 - 3863*k**2 - 927754*k - 3649272. -(k + 4)*(k + 253)*(k + 3606) Factor 2*c**3/9 - 4444736*c**2/9. 2*c**2*(c - 2222368)/9 Determine w, given that 4*w**2 - 7853528*w = 0. 0, 1963382 Find n, given that -5*n**4 + 912080*n**3 + 19155605*n**2 + 51082180*n + 32838660 = 0. -18, -2, -1, 182437 Find l such that 2*l**3 + 1618048*l**2 + 327295510440*l + 14397870088800 = 0. -404490, -44 Factor 225907238209*b**2/4 - 475297*b + 1. (475297*b - 2)**2/4 Factor g**2/8 + 25741325*g + 1325231625511250. (g + 102965300)**2/8 Solve -d**5/6 - 44*d**4/3 + 109*d**3/2 + 80633*d**2/3 + 1170512*d/3 - 417088 = 0 for d. -56, -19, 1, 42 Factor 1875*v**3 - 14043050*v**2 - 15728804*v/3 - 1468040/3. (v - 7490)*(75*v + 14)**2/3 Determine s so that 2*s**5/17 - 2546*s**4/17 + 145994*s**3/17 - 525638*s**2/17 - 976372*s/17 + 1358560/17 = 0. -2, 1, 5, 56, 1213 Solve 3*g**4 - 1458*g**3 + 15699*g**2 - 11340*g - 28500 = 0 for g. -1, 2, 10, 475 What is c in 202*c**5/5 - 57356*c**4/5 + 501188*c**3/5 - 1250704*c**2/5 + 151434*c + 9900 = 0? -6/101, 1, 3, 5, 275 Find z such that -39551521*z**2/4 - 4339410*z - 476100 = 0. -1380/6289 Find g such that -g**5/5 + 5783*g**4/5 - 1156*g**3 - 11564*g**2/5 = 0. -1, 0, 2, 5782 Solve 3*j**4 - 1434*j**3 - 70593*j**2 - 895896*j - 2546640 = 0 for j. -27, -15, -4, 524 Factor 3*z**2 - 42063*z + 15709824. 3*(z - 13637)*(z - 384) Solve -v**3 - 3019898*v**2 - 15099469*v - 12079572 = 0 for v. -3019893, -4, -1 Let -2*p**4 + 2130*p**3 - 31392*p**2 - 113400*p = 0. Calculate p. -3, 0, 18, 1050 Factor 5*u**2/4 - 2481455*u/2 - 4962915/4. 5*(u - 992583)*(u + 1)/4 Determine s, given that 2*s**3 - 9682*s**2 - 263808*s + 4556448 = 0. -39, 12, 4868 Determine f so that -4*f**2 - 9916*f + 72194760 = 0. -5665, 3186 Determine n, given that -3*n**4/4 - 144*n**3 + 33465*n**2/4 + 270369*n/2 - 302670 = 0. -236, -15, 2, 57 Find g such that -3*g**2 - 1382815320*g - 159348184102225200 = 0. -230469220 Factor -x**2/2 + 4106*x - 188347/2. -(x - 8189)*(x - 23)/2 Let -3125*v**3 + 74500*v**2 - 243705*v/4 + 50715/4 = 0. What is v? 21/50, 23 Factor -q**3/4 - 15847*q**2/4 - 31691*q/4 - 15845/4. -(q + 1)**2*(q + 15845)/4 Factor 4*j**3/9 - 7497200*j**2/9 + 3513000490000*j/9. 4*j*(j - 937150)**2/9 Find y, given that -y**2 + 118250*y + 3666711 = 0. -31, 118281 Let -69*o**3/2 + 166419*o**2/2 - 50167188*o - 6544962 = 0. What is o? -3/23, 1206 Suppose -w**2/2 - 2285*w/2 + 1206903 = 0. Calculate w. -3071, 786 Let 20*x**5/7 + 14764*x**4/7 - 25304*x**3 - 95056*x**2/7 + 708192*x/7 + 144000/7 = 0. What is x? -750, -2, -1/5, 2, 12 Factor -q**3/3 - 94067*q**2/3 + 2446249*q/3 - 15901717/3. -(q - 13)**2*(q + 94093)/3 Solve -6*i**4/11 - 16300*i**3/11 - 27144*i**2/11 + 16300*i/11 + 27150/11 = 0. -2715, -5/3, -1, 1 Factor 4*z**3 + 535196*z**2 - 15524048*z. 4*z*(z - 29)*(z + 133828) Suppose 3*u**2/2 - 97557*u + 9553383/2 = 0. Calculate u. 49, 64989 Suppose -3*d**3/5 + 317874*d**2/5 + 1271532*d/5 + 1271544/5 = 0. Calculate d. -2, 105962 Factor -r**4 - 623882*r**3 - 97302196297*r**2 + 1556954928144*r - 6227979430464. -(r - 8)**2*(r + 311949)**2 Solve 4*q**2 + 42288*q + 13598720 = 0 for q. -10240, -332 Determine f so that -2637*f**5 - 146127615*f**4 - 49706364*f**3 - 332484*f**2 = 0. -55414, -1/3, -2/293, 0 Factor -q**3/2 + 295*q**2 + 84137*q/2 + 82953. -(q - 709)*(q + 2)*(q + 117)/2 Solve -82*o**4 - 1394411*o**3 - 11168349*o**2 - 22436056*o - 271952 = 0 for o. -16997, -4, -1/82 Suppose -3*c**4/4 + 724371*c**3/4 + 9*c**2/4 - 2173119*c/4 + 724371/2 = 0. What is c? -2, 1, 241457 Factor -18*j**3/7 + 2144*j**2/7 - 13984*j/7 - 3419392/7. -2*(j - 76)**2*(9*j + 296)/7 Let -3*p**3 - 17837688*p**2 = 0. Calculate p. -5945896, 0 Factor -o**2/3 + 10841*o/3 + 4055486/3. -(o - 11203)*(o + 362)/3 Factor 3*r**3/4 - 42795*r**2 + 609871104*r + 17109958656. 3*(r - 28544)**2*(r + 28)/4 Solve -3*l**3/5 + 930*l**2 - 596493*l/5 - 2000754 = 0. -15, 158, 1407 Let -5*d**4 - 290*d**3 + 33545*d**2 - 218890*d = 0. What is d? -118, 0, 7, 53 Solve 90*f**4 - 626*f**3 + 2600*f**2/3 + 232*f/3 - 160/3 = 0 for f. -4/15, 2/9, 2, 5 Let 3*q**2/5 + 75072*q/5 + 1107780 = 0. Calculate q. -24950, -74 What is b in b**5/8 + 1295*b**4/8 + 632983*b**3/8 + 139696597*b**2/8 + 1532860714*b + 34290709453/2 = 0? -322, -319, -13 Suppose 2*q**2/9 - 1717544*q + 3318702065928 = 0. Calculate q. 3864474 Determine a, given that 254*a**2 - 246880*a - 7776 = 0. -4/127, 972 Let 13*v**2/3 + 42812*v/3 + 3293 = 0. Calculate v. -3293, -3/13 Factor 4*b**3/7 + 2416136*b**2/7 + 364854657008*b/7 - 729718978592/7. 4*(b - 2)*(b + 302018)**2/7 Factor -1351*i**3 + 5584*i**2 - 6124*i + 720. -(i - 2)**2*(1351*i - 180) Let 2*o**5/5 - 16576*o**4/5 + 132512*o**3/5 - 52992*o**2 = 0. Calculate o. 0, 4, 8280 Determine x, given that -2*x**4/5 + 12140*x**3 - 613818408*x**2/5 + 2065492101124*x/5 + 26955266040586/5 = 0. -13, 10121 Find o, given that -o**3/8 - 87637*o**2/8 - 239332490*o + 29603861400 = 0. -43880, 123 Determine h so that -4*h**2 - 24367896*h - 37112147216676 = 0. -3045987 Solve 5*y**5/2 - 2427*y**4/2 + 98415*y**3/2 - 226613*y**2/2 + 83832*y - 18522 = 0 for y. 2/5, 1, 42, 441 Suppose 5*h**5 + 16295*h**4 + 13590395*h**3 + 511885205*h**2 + 5177051600*h + 4678740500 = 0. What is h? -1610, -19, -1 Find l, given that -460*l**5/7 + 28843072*l**4/7 + 25081340*l**3/7 - 537456*l**2 = 0. -1, 0, 3/23, 313516/5 What is q in 4*q**4 + 5907664*q**3 + 2908494607320*q**2 + 477387686714533200*q + 29109827722024786500 = 0? -492285, -61 Solve -2*v**4/7 + 2638*v**3/7 - 117114*v**2/7 - 2638*v/7 + 117116/7 = 0 for v. -1, 1, 46, 1273
{ "pile_set_name": "DM Mathematics" }
d 3:32 PM? 194 What is 270 minutes after 4:38 PM? 9:08 PM How many minutes are there between 6:33 PM and 11:33 PM? 300 How many minutes are there between 5:11 PM and 7:49 PM? 158 How many minutes are there between 11:42 PM and 6:07 AM? 385 How many minutes are there between 11:08 AM and 7:58 PM? 530 How many minutes are there between 5:11 PM and 8:07 PM? 176 How many minutes are there between 2:40 PM and 7:23 PM? 283 What is 503 minutes after 8:17 PM? 4:40 AM What is 304 minutes after 2:02 PM? 7:06 PM What is 685 minutes after 4:36 AM? 4:01 PM How many minutes are there between 7:20 AM and 6:15 PM? 655 What is 54 minutes after 8:11 AM? 9:05 AM How many minutes are there between 9:26 PM and 5:26 AM? 480 What is 260 minutes before 7:30 PM? 3:10 PM How many minutes are there between 9:16 PM and 2:34 AM? 318 What is 318 minutes after 10:55 AM? 4:13 PM What is 408 minutes before 4:06 AM? 9:18 PM What is 6 minutes after 11:02 AM? 11:08 AM What is 25 minutes after 11:24 AM? 11:49 AM What is 107 minutes before 9:55 AM? 8:08 AM How many minutes are there between 12:30 PM and 6:23 PM? 353 What is 152 minutes before 9:05 PM? 6:33 PM How many minutes are there between 3:38 PM and 11:51 PM? 493 What is 176 minutes before 10:03 AM? 7:07 AM What is 144 minutes after 5:56 PM? 8:20 PM What is 687 minutes after 10:43 PM? 10:10 AM What is 296 minutes after 4:33 AM? 9:29 AM What is 665 minutes after 2:59 AM? 2:04 PM What is 657 minutes after 4:19 PM? 3:16 AM How many minutes are there between 2:58 PM and 4:26 PM? 88 How many minutes are there between 8:51 AM and 11:31 AM? 160 How many minutes are there between 11:19 AM and 3:56 PM? 277 What is 553 minutes after 3:15 PM? 12:28 AM How many minutes are there between 10:55 AM and 5:06 PM? 371 How many minutes are there between 8:19 AM and 11:43 AM? 204 How many minutes are there between 10:25 AM and 10:58 AM? 33 How many minutes are there between 5:27 AM and 2:47 PM? 560 How many minutes are there between 12:14 AM and 10:01 AM? 587 What is 463 minutes before 4:12 PM? 8:29 AM What is 584 minutes before 6:59 PM? 9:15 AM How many minutes are there between 8:51 AM and 9:26 AM? 35 What is 44 minutes after 12:21 AM? 1:05 AM How many minutes are there between 6:18 AM and 6:12 PM? 714 What is 270 minutes before 9:25 PM? 4:55 PM What is 661 minutes after 2:36 PM? 1:37 AM What is 304 minutes after 7:56 PM? 1:00 AM How many minutes are there between 10:30 AM and 7:47 PM? 557 What is 707 minutes before 9:57 PM? 10:10 AM What is 492 minutes after 4:51 AM? 1:03 PM How many minutes are there between 5:53 AM and 1:47 PM? 474 What is 693 minutes before 7:44 AM? 8:11 PM How many minutes are there between 3:21 AM and 9:34 AM? 373 What is 249 minutes before 10:52 AM? 6:43 AM How many minutes are there between 1:05 PM and 12:35 AM? 690 What is 704 minutes before 1:46 PM? 2:02 AM How many minutes are there between 2:52 PM and 3:28 PM? 36 What is 595 minutes before 7:00 PM? 9:05 AM How many minutes are there between 12:46 AM and 6:57 AM? 371 What is 104 minutes after 2:25 AM? 4:09 AM What is 60 minutes before 3:14 PM? 2:14 PM How many minutes are there between 1:50 AM and 12:02 PM? 612 What is 62 minutes before 12:22 AM? 11:20 PM How many minutes are there between 5:30 PM and 12:10 AM? 400 What is 514 minutes after 6:11 AM? 2:45 PM What is 430 minutes after 3:35 AM? 10:45 AM How many minutes are there between 9:54 AM and 6:16 PM? 502 What is 709 minutes after 3:28 AM? 3:17 PM What is 305 minutes after 4:50 AM? 9:55 AM How many minutes are there between 5:49 AM and 9:20 AM? 211 How many minutes are there between 7:07 PM and 9:40 PM? 153 How many minutes are there between 5:56 AM and 8:02 AM? 126 How many minutes are there between 5:25 AM and 7:03 AM? 98 How many minutes are there between 9:23 PM and 6:55 AM? 572 How many minutes are there between 5:33 PM and 9:44 PM? 251 How many minutes are there between 6:19 AM and 12:03 PM? 344 How many minutes are there between 6:50 PM and 3:35 AM? 525 What is 376 minutes after 1:26 AM? 7:42 AM What is 236 minutes after 7:55 PM? 11:51 PM How many minutes are there between 6:58 PM and 5:53 AM? 655 How many minutes are there between 11:50 PM and 10:13 AM? 623 How many minutes are there between 5:37 AM and 12:37 PM? 420 What is 204 minutes after 8:16 PM? 11:40 PM What is 52 minutes after 3:07 AM? 3:59 AM How many minutes are there between 1:07 PM and 4:03 PM? 176 What is 705 minutes after 6:13 AM? 5:58 PM How many minutes are there between 1:24 AM and 4:19 AM? 175 What is 578 minutes after 12:47 PM? 10:25 PM How many minutes are there between 7:30 AM and 5:16 PM? 586 What is 197 minutes after 10:07 AM? 1:24 PM What is 19 minutes after 2:10 AM? 2:29 AM How many minutes are there between 2:20 AM and 4:49 AM? 149 How many minutes are there between 3:12 PM and 8:03 PM? 291 How many minutes are there between 12:36 AM and 4:50 AM? 254 What is 88 minutes after 11:45 PM? 1:13 AM What is 707 minutes after 12:50 PM? 12:37 AM What is 583 minutes after 8:47 PM? 6:30 AM How many minutes are there between 3:14 AM and 1:21 PM? 607 What is 676 minutes before 7:51 PM? 8:35 AM What is 448 minutes before 8:35 AM? 1:07 AM What is 502 minutes before 10:18 AM? 1:56 AM What is 627 minutes before 6:15 PM? 7:48 AM How many minutes are there between 10:39 PM and 11:46 PM? 67 How many minutes are there between 12:53 AM and 9:41 AM? 528 How many minutes are there between 10:37 PM and 6:29 AM? 472 How many minutes are there between 12:41 AM and 6:12 AM? 331 How many minutes are there between 9:58 AM and 2:41 PM? 283 How many minutes are there between 9:49 AM and 10:49 AM? 60 How many minutes are there between 5:08 PM and 3:52 AM? 644 What is 503 minutes before 6:48 PM? 10:25 AM What is 443 minutes after 8:42 PM? 4:05 AM What is 185 minutes before 2:07 PM? 11:02 AM How many minutes are there between 1:42 PM and 3:04 PM? 82 What is 704 minutes after 5:23 PM? 5:07 AM How many minutes are there between 9:52 PM and 8:19 AM? 627 How many minutes are there between 3:30 AM and 9:36 AM? 366 How many minutes are there between 6:21 AM and 5:33 PM? 672 What is 423 minutes after 2:07 PM? 9:10 PM What is 399 minutes after 9:57 AM? 4:36 PM What is 104 minutes before 6:06 AM? 4:22 AM How many minutes are there between 7:31 PM and 8:19 PM? 48 How many minutes are there between 12:01 PM and 10:26 PM? 625 What is 459 minutes after 10:53 PM? 6:32 AM What is 4 minutes after 11:13 AM? 11:17 AM How many minutes are there between 1:29 PM and 2:22 PM? 53 What is 291 minutes after 9:43 PM? 2:34 AM How many minutes are there between 8:49 AM and 6:44 PM? 595 What is 51 minutes after 4:59 PM? 5:50 PM What is 59 minutes after 11:47 PM? 12:46 AM How many minutes are there between 1:07 PM and 10:19 PM? 552 What is 496 minutes after 3:23 PM? 11:39 PM What is 325 minutes before 5:11 PM? 11:46 AM How many minutes are there between 12:08 AM and 7:33 AM? 445 How many minutes are there between 8:59 PM and 10:15 PM? 76 How many minutes are there between 6:47 AM and 6:20 PM? 693 What is 171 minutes after 9:28 AM? 12:19 PM What is 405 minutes before 5:35 PM? 10:50 AM How many minutes are there between 6:54 AM and 11:06 AM? 252 What is 643 minutes after 10:59 PM? 9:42 AM How many minutes are there between 2:20 PM and 11:23 PM? 543 What is 92 minutes before 6:11 PM? 4:39 PM What is 207 minutes after 8:41 AM? 12:08 PM How many minutes are there between 4:52 PM and 10:34 PM? 342 How many minutes are there between 3:00 AM and 3:33 AM? 33 What is 243 minutes before 11:55 AM? 7:52 AM How many minutes are there between 11:25 AM and 7:26 PM? 481 What is 324 minutes before 6:10 AM? 12:46 AM How many minutes are there between 8:03 PM and 3:12 AM? 429 How many minutes are there between 4:38 PM and 9:08 PM? 270 How many minutes are there between 12:19 AM and 9:18 AM? 539 How many minutes are there between 7:07 PM and 12:35 AM? 328 What is 342 minutes after 5:46 AM? 11:28 AM How many minutes are there between 6:42 AM and 4:30 PM? 588 What is 374 minutes after 5:29 PM? 11:43 PM What is 344 minutes before 4:20 PM? 10:36 AM What is 53 minutes before 6:58 PM? 6:05 PM How many minutes are there between 1:17 PM and 12:59 AM? 702 What is 560 minutes after 11:21 PM? 8:41 AM How many minutes
{ "pile_set_name": "DM Mathematics" }
264 = 0. Find the common denominator of 45/8 and (-6)/(g/308) + 1. 8 Let i = 7264/23 - 1049305/3312. Calculate the common denominator of i and -121/72. 144 Suppose p = 5*v - p - 35, 5*v - 5*p - 50 = 0. Suppose v*z + 24 = 44. Calculate the lowest common multiple of 4 and z. 4 Let b = -15/28 + 37/252. What is the common denominator of b and 95/18? 18 Let m = -8132 - -243839/30. Calculate the common denominator of m and -73/18. 90 Let v = 8 + 10. Calculate the common denominator of (-22)/v - -1 - 3185/450 and -107/20. 20 Suppose 0*f + 12 = 4*f. Suppose -3*g - 5*q = -29, -q + f + 4 = g. Suppose 0 = -g*x + 5*x - 32. What is the lowest common multiple of x and 10? 80 Let f = -226 - -1807/8. Let a = -55409/37240 - -12/931. Let n = a + f. Find the common denominator of n and -19/2. 10 Suppose -t + c = -78, 0*t - 4*c = 3*t - 206. What is the smallest common multiple of 2 and t? 74 Let k = -2428 - -29197/12. Find the common denominator of k and -113/30. 60 Suppose -f + 3*h + 15 = 0, -4*f - 28 = -8*f + 4*h. Suppose f*o - 15 - 12 = 0. What is the lowest common multiple of 6 and o? 18 Suppose -2*w + 370 = 3*f, 2*f - 13*w - 268 = -9*w. Calculate the lowest common multiple of f and 12. 252 Find the common denominator of -3*5/225*(-1185)/(-6) and 85/54. 54 Let b = 265438 - 6918110592/26063. Let f = 3883363/312756 + b. Calculate the common denominator of (-1)/2 - (-101)/(-20) and f. 60 What is the common denominator of 20/24 + (-1695)/900 and 17/20? 20 Calculate the lowest common multiple of 7/(-35)*-20 + 0 + 5 and 95. 855 What is the common denominator of 1001/28854 + (-12)/108 and -117/10? 2290 Let z(q) = -3*q - 3. Let p be z(-4). Suppose v - 79 = -p. Suppose 4*n - v = 2. What is the smallest common multiple of n and 22? 198 Let a(d) = d**2 + 8*d - 6. Let o be a(4). Let n = o - 18. Calculate the least common multiple of 21 and n. 168 Let g = -53899276063/1068 + 50467495. Let a = 3/89 + g. Calculate the common denominator of a and (-158)/(-10)*5/14. 84 Let m(r) = -r**3 - 6*r**2 - 3*r - 9. Let u be 4/8*0 + 10. Let c = u - -2. Calculate the lowest common multiple of m(-6) and c. 36 Let p = 2850 - 1957. Suppose 0 = 4*u - 12, -3*w = 2*w + u - p. Calculate the common denominator of 29/10 and (w/(-10))/(24/15). 40 Suppose l - 5*j - 29 = 0, -5*l - 3*j - 23 + 112 = 0. Let r = l - 19. Suppose -2*o + 2 = -r*o. Calculate the least common multiple of o and 3. 3 Suppose -3*p - 4*b - 1538728 = p, -b = 2*p + 769367. Let s be p/(-84) - (0 - 4). Let o = s - 4587. Find the common denominator of 61/16 and o. 48 Calculate the common denominator of (-2)/(-8) + (-117)/16 - -1 and -91/44. 176 Suppose g + z - 12 = 0, -2*z = -19*g + 14*g + 88. Calculate the least common multiple of g and 304. 304 Let n be 0 - -34*3789/364. Let m = n + -4522/13. Find the common denominator of 62/44 + (-6)/(-3) and m. 154 What is the common denominator of 5/28 and 2 + (-32)/24 - (-197)/60? 140 Suppose -5*o = -5*t + 270, -o + 99 = 2*t + 3. Suppose -3*f = -2 - 22. Calculate the lowest common multiple of t and f. 200 Let r(s) = -s**3 + 9*s**2 + 2*s - 1. Let b be r(9). Let z = b + -8. Calculate the least common multiple of z and 6. 18 Let n be (-765567941)/6855320 - 8/(-4). Let p = -2/171383 - n. Let d = p + -907/8. Find the common denominator of d and 49/16. 80 Let d = -51 + 27. Let g = 93 + -97. Find the common denominator of 11/2 and (-270)/d*1/g. 16 Find the common denominator of (127/(-54))/((-2)/(-3)) and 59/96. 288 Let b be 6 + (2 - -1) + -4. Suppose 15 = b*z, 5*v = -4*z + 14 + 8. Let f(r) = r**2 - 2. Calculate the lowest common multiple of 2 and f(v). 2 Let f = 146 - 215/2. Suppose c - 172 = -2*j, 0*j + 916 = 5*c - 4*j. Let h = -1087/6 + c. What is the common denominator of f and h? 6 What is the lowest common multiple of 33 and 179/3 - (0 + (-3)/9)? 660 Let q = -189149/28 + 6753. Calculate the common denominator of 37/77 and q. 308 Let r = -33142 - -1391867/42. Calculate the common denominator of 37/11 and r. 462 Let p = 7 - 4. Suppose -5*q + 129 = p*r, 18 = q - 0*q - 2*r. Suppose -8 + q = 2*s. What is the smallest common multiple of 10 and s? 40 Let l(c) = 2*c**3 - 14*c**2 + 6*c - 2. What is the smallest common multiple of 32 and l(7)? 160 Let r(u) be the third derivative of u**4/24 + 7*u**3/6 + 2*u**2. Let m be r(-6). What is the common denominator of ((-270)/20)/(21*m) and -117/20? 140 Let h = 6/51683 - 52923434/361781. Let u = h + 8493/56. Calculate the common denominator of -69/4 and u. 8 Let u = -6191/380 + 244/19. Let y = -76468 - -304221/4. Let m = y - -399. What is the common denominator of u and m? 20 Suppose 5*a + 3 = -37. Let t = a + 10. Calculate the least common multiple of (-1)/(t/(-4)*1) and 8. 8 Let q(p) = p**3 - 5*p**2 - 5*p - 6. Let o be q(6). Find the common denominator of 2 + o + 73/(-9) and -7 + (-37 - -33 - (-170)/16). 72 Let x(d) = -2*d**2 + 15*d + 2. Calculate the smallest common multiple of x(7) and 9. 9 Let y(o) = -o**2 - 19*o - 54. Let h be (-12)/(-4) - 1*16. What is the least common multiple of 10 and y(h)? 120 Suppose 225 = 5*o + 45. What is the smallest common multiple of 54 and o? 108 Let z(u) = u**2 - 30*u + 72. Calculate the lowest common multiple of 16 and z(28). 16 Let o = -5117 - -81823/16. What is the common denominator of -77/16 and o? 16 Let o = -81127/14 + 5790. Find the common denominator of 43/20 and o. 140 Let a = 334 - 1381/4. What is the common denominator of -10/7 and a? 28 Let l = -16021/10 - -1591. Calculate the common denominator of l and 115/42. 210 Let j = 932 + -929. Calculate the least common multiple of 39 and j. 39 Let h = -2459083/5013750 + -1/119375. Find the common denominator of 29/45 and h. 630 Let t be (-1)/(-2)*(11 + -1). Let g = -3 + t. Let j(m) = -m**3 - 14*m**2 - 23*m + 20. What is the smallest common multiple of j(-12) and g? 8 Let m be (-996)/(-1)*45/3. Let g = -269011/18 + m. Let k = 20294 - 365149/18. Calculate the common denominator of k and g. 18 Let t = -1/7011 + 168407/1002573. Calculate the common denominator of 46/247 and t. 2717 Let s(b) = 21*b + 99. Calculate the least common multiple of 54 and s(-3). 108 Let k be ((-666)/28)/((-7)/(196/24)). Let d = 2/7261 - 922157/36305. Let b = k + d. Calculate the common denominator of -13/14 and b. 140 Suppose -3*a - 8*z + 3*z - 4 = 0, -3*a + 5*z + 16 = 0. Suppose 5*l - 44 = h, a*l + 6*h - 4*h - 8 = 0. Calculate the lowest common multiple of l and 9. 72 Let n = -29 - -31. What is the common denominator of 46/4 - 4/n and 17/28? 28 Suppose 141 = 4*h - f, 0 = 3*f + f + 4. What is the common denominator of -29/24 and (-127)/h + (-28)/210? 168 What is the common denominator of -45/32 and (-18)/63 - 1527/1344? 64 Suppose -28*n + 133 = -427. Let f(t) = -3*t**3 - 3*t**2 - t + 2. Calculate the smallest common multiple of f(-2) and n. 80 Let u = -5058 - -30251/6. Calculate the common denominator of -139/390 and u. 390 Let c = 6 - 5. Let g(i) = 3*i**2 + i. Let h = -11 + 12. Calculate the smallest common multiple of g(c) and h. 4 Calculate the common denominator of -87/10 and (687/126 - 8) + (-18)/(-21). 210 Let s(v) = -4*v + 6. Let p(b) = -4*b + 5. Let w(l) = -5*p(l) + 4*s(l). Let u be w(-3). Let y = -1 - u. What is the least common multiple of 8 and y? 24 Let m = -5/277 + -5223/2216. Calculate the common denominator of 118*(2 - 33/16) and m. 8 Let q = 252331/44 + -22919/4. Calculate the common denominator of (1/(-30))/(6/(-261)) and q. 220 Let a = -4 - -6. Suppose 4*c = -8, -2*c = -a*j + 8 + 20. What is the smallest common multiple of 27 and j? 108 Suppose h + 7 = 2*d, 0 = -3*d - 2*h + 5*h + 15. Let n = -825 + 837. What is the least common multiple of n and ((-16)/(-2))/(d/5)? 60 Let b = -141 - -159. Calculate the least common multiple of 72 and b. 72 Let y be (((-10)/(-15))/(2/1315))/3. Let l = y - 147. Let g = -4/415 + -24042/2905. Find the common denominator of l and g. 63 Calculate the common denominator of -3*524/320 - (-2)/(-5) and 57/32. 32 Let p = -23 + 27. Suppose 5*h - 7 = -p*q + 16, 2*h + 10 = 0. What is the lowest common multiple of q and -2 + (-1)/((-2)/20)? 24 Suppose -5*b + 21 = -89. What is the smallest common multiple of b and 184? 2024 Let h = 7 - 15. Let c(d) be the third derivative of -d**6/120 - 7*d**5/60 + d**4/4 - d**3 + 2*d**2. Calculate the least common multiple
{ "pile_set_name": "DM Mathematics" }
'th term of -13, -17, -1, 47, 139, 287, 503, 799? 2*t**3 - 2*t**2 - 12*t - 1 What is the w'th term of -14567, -14553, -14521, -14465, -14379, -14257, -14093, -13881? w**3 + 3*w**2 - 2*w - 14569 What is the y'th term of -7, 3, 9, 5, -15, -57, -127, -231? -y**3 + 4*y**2 + 5*y - 15 What is the x'th term of 210, 265, 320, 375, 430? 55*x + 155 What is the l'th term of -143, -125, -117, -137, -203? -3*l**3 + 13*l**2 - 153 What is the a'th term of 4, -18, -54, -104? -7*a**2 - a + 12 What is the y'th term of -6, 5, 14, 21, 26? -y**2 + 14*y - 19 What is the d'th term of 4583, 4575, 4553, 4511, 4443, 4343, 4205? -d**3 - d**2 + 2*d + 4583 What is the u'th term of 28, 39, 62, 103, 168, 263, 394? u**3 + 4*u + 23 What is the o'th term of 112, 32, -70, -206, -388, -628, -938? -2*o**3 + o**2 - 69*o + 182 What is the p'th term of 117, 78, 39? -39*p + 156 What is the v'th term of -106, -208, -310, -412, -514? -102*v - 4 What is the u'th term of -13, -43, -97, -175, -277, -403, -553? -12*u**2 + 6*u - 7 What is the s'th term of 500, 990, 1476, 1958, 2436? -2*s**2 + 496*s + 6 What is the j'th term of 350, 337, 324? -13*j + 363 What is the k'th term of 25, 67, 181, 403, 769, 1315, 2077? 6*k**3 + 19 What is the n'th term of 22, 46, 74, 106, 142, 182, 226? 2*n**2 + 18*n + 2 What is the f'th term of 78, 76, 74, 72, 70? -2*f + 80 What is the p'th term of 3945, 3946, 3947? p + 3944 What is the o'th term of 32, 34, 36? 2*o + 30 What is the w'th term of 217, 867, 1959, 3499, 5493? w**3 + 215*w**2 - 2*w + 3 What is the z'th term of -489, -492, -497, -504, -513, -524, -537? -z**2 - 488 What is the j'th term of -13715, -13720, -13727, -13736, -13747, -13760, -13775? -j**2 - 2*j - 13712 What is the m'th term of -3336, -3335, -3334, -3333? m - 3337 What is the x'th term of 91, 152, 213, 274, 335? 61*x + 30 What is the l'th term of -28, -30, -46, -82, -144, -238? -l**3 - l**2 + 8*l - 34 What is the y'th term of 33, 36, 43, 60, 93? y**3 - 4*y**2 + 8*y + 28 What is the j'th term of 29, 130, 401, 926, 1789? 14*j**3 + j**2 + 14 What is the m'th term of 28, 68, 180, 400, 764, 1308? 6*m**3 - 2*m + 24 What is the m'th term of 9828, 9819, 9798, 9759, 9696, 9603, 9474, 9303? -m**3 - 2*m + 9831 What is the x'th term of -170, -149, -128, -107, -86? 21*x - 191 What is the p'th term of -3813, -3815, -3817, -3819, -3821, -3823? -2*p - 3811 What is the v'th term of 588, 587, 586? -v + 589 What is the p'th term of -634, -628, -622, -616, -610, -604? 6*p - 640 What is the v'th term of -221, -447, -695, -977, -1305, -1691, -2147? -2*v**3 + v**2 - 215*v - 5 What is the o'th term of -52, -250, -776, -1792, -3460, -5942, -9400? -27*o**3 - 2*o**2 - 3*o - 20 What is the k'th term of 2790, 2788, 2786, 2784? -2*k + 2792 What is the q'th term of -880, -3560, -8034, -14308, -22388? -q**3 - 891*q**2 + 12 What is the g'th term of 39, 81, 123, 165? 42*g - 3 What is the a'th term of -32, -46, -84, -158, -280, -462, -716, -1054? -2*a**3 - 30 What is the g'th term of 91, 186, 287, 394, 507? 3*g**2 + 86*g + 2 What is the k'th term of -4, -28, -52, -76, -100, -124? -24*k + 20 What is the b'th term of -40, -86, -138, -196, -260, -330, -406? -3*b**2 - 37*b What is the n'th term of -947, -950, -953? -3*n - 944 What is the q'th term of -477, -467, -455, -441, -425, -407? q**2 + 7*q - 485 What is the w'th term of -185, -368, -551, -734, -917, -1100? -183*w - 2 What is the l'th term of 640, 1282, 1924, 2566, 3208, 3850? 642*l - 2 What is the z'th term of 37, 74, 113, 154, 197? z**2 + 34*z + 2 What is the o'th term of 7, 27, 59, 109, 183? o**3 + 13*o - 7 What is the v'th term of 27, -16, -59, -102? -43*v + 70 What is the g'th term of 83, 143, 193, 227, 239, 223? -g**3 + g**2 + 64*g + 19 What is the m'th term of -217, -216, -215, -214, -213, -212? m - 218 What is the j'th term of 66, 61, 46, 15, -38, -119? -j**3 + j**2 - j + 67 What is the f'th term of -106, -127, -146, -163? f**2 - 24*f - 83 What is the c'th term of -8, 2, 20, 46, 80, 122? 4*c**2 - 2*c - 10 What is the q'th term of 34, 10, -14, -38, -62, -86? -24*q + 58 What is the f'th term of 36, 157, 358, 639, 1000, 1441, 1962? 40*f**2 + f - 5 What is the k'th term of -151, -153, -155, -157? -2*k - 149 What is the z'th term of 148, 264, 380, 496, 612, 728? 116*z + 32 What is the n'th term of 262, 261, 260? -n + 263 What is the o'th term of 224, 442, 654, 860, 1060, 1254? -3*o**2 + 227*o What is the a'th term of 812, 1625, 2438, 3251, 4064? 813*a - 1 What is the g'th term of -158, -267, -568, -1157, -2130, -3583, -5612, -8313? -16*g**3 + 3*g - 145 What is the i'th term of -51, -47, -31, 3, 61? i**3 - 3*i - 49 What is the y'th term of 1617, 3236, 4855, 6474? 1619*y - 2 What is the q'th term of -16, 30, 114, 242, 420, 654? q**3 + 13*q**2 - 30 What is the b'th term of -9, 0, 15, 36, 63, 96? 3*b**2 - 12 What is the w'th term of -11, 8, 33, 58, 77? -w**3 + 9*w**2 - w - 18 What is the a'th term of 5053, 10102, 15151, 20200, 25249, 30298? 5049*a + 4 What is the t'th term of -34, -235, -782, -1849, -3610? -29*t**3 + t**2 - t - 5 What is the w'th term of 2, 9, 32, 77, 150, 257? w**3 + 2*w**2 - 6*w + 5 What is the h'th term of 91, 706, 2377, 5632, 10999, 19006, 30181? 88*h**3 - h + 4 What is the h'th term of -16, -23, -20, -1, 40, 109, 212? h**3 - h**2 - 11*h - 5 What is the n'th term of -120, -220, -306, -372, -412? n**3 + n**2 - 110*n - 12 What is the v'th term of 322, 657, 992, 1327? 335*v - 13 What is the m'th term of 10, 3, -16, -53, -114, -205? -m**3 + 11 What is the z'th term of 39, 51, 39, -9, -105, -261, -489? -2*z**3 + 26*z + 15 What is the x'th term of 471, 979, 1487, 1995? 508*x - 37 What is the h'th term of -795, -1580, -2363, -3144, -3923? h**2 - 788*h - 8 What is the r'th term of -33, -47, -61? -14*r - 19 What is the j'th term of 34, 36, 38? 2*j + 32 What is the i'th term of -96, -202, -314, -438, -580, -746? -i**3 + 3*i**2 - 108*i + 10 What is the c'th term of -39, -31, -1, 63, 173, 341, 579? 2*c**3 - c**2 - 3*c - 37 What is the t'th term of 78, 88, 106, 132, 166, 208? 4*t**2 - 2*t + 76 What is the u'th term of 900, 908, 936, 996, 1100, 1260? 2*u**3 - 2*u**2 + 900 What is the o'th term of 3990, 3992, 3994, 3996? 2*o + 3988 What is the p'th term of 28, 70, 132, 208, 292? -p**3 + 16*p**2 + p + 12 What is the u'th term of -4, -6, -8, -10? -2*u - 2 What is the z'th term of 75, 291, 645, 1131, 1743, 2475, 3321? -z**3 + 75*z**2 - 2*z + 3 What is the y'th term of 539, 1079, 1619, 2159, 2699, 3239? 540*y - 1 What is the q'th term of -37, -88, -163, -274, -433, -652, -943, -1318? -2*q**3 - 37*q + 2 What is the u'th term of 160, 220, 320, 460, 640, 860? 20*u**2 + 140 What is the j'th term of 209, 205, 199, 191, 181? -j**2 - j + 211 What is the q'th term of 33, 208, 509, 942, 1513? q**3 + 57*q**2 - 3*q - 22 What is the l'th term of 4033, 8068, 12103, 16138? 4035*l - 2 What is the v'th term of 549, 1097, 1645, 2193? 548*v + 1 What is the l'th term of -109, -223, -343, -469, -601, -739, -883? -3*l**2 - 105*l - 1 What is the o'th term of -10, -42, -94, -166, -258, -370, -502? -10*o**2 - 2*o + 2 What is the c'th term of -339, -677, -1019, -1371, -1739, -2129? -c**3 + 4*c**2 - 343*c + 1 What is the p'th term of 90, 94, 98, 102? 4*p + 86 What is the l'th term of 87, 179, 289, 423, 587? l**3 + 3*l**2 + 76*l + 7 What is the l'th term of -629, -631, -631, -629? l**2 - 5*l - 625 What is the p'th term of -1, -49, -123, -217, -325, -441, -559? p**3 - 19*p**2 + 2*p + 15 What is the v'th term of 16, 23, 30, 37? 7*v + 9 What is the l'th term of -99, -196, -293? -97*l - 2 What is the r'th term of 3447, 3431, 3417, 3405, 3395, 3387? r**2 - 19*r + 3465 What is the v'th term of -140, -148, -156? -8*v - 132 What is the n'th term of 1014, 1015, 1016, 1017, 1018? n + 1013 What is the m'th term of 57, 57, 51, 39, 21? -3*m**2 + 9*m + 51 What is the q'th term of 404, 824, 1256, 1700, 2156, 2624? 6*q**2 + 402*q - 4 What is the q'th term of 719, 725, 735, 749, 767, 789? 2*q**2 + 717 What is the b'th term of -10, -41, -92, -163, -254, -365, -496? -10*b**2 - b + 1 What is the p'th term of 439, 434, 427, 418, 407, 394? -p**2 - 2*p + 442 What is the q'th term of 366, 497, 630, 765? q**2 + 128*q + 237 What is the n'th term of -4048, -4047, -4046? n - 4049 What is the u'th term of 55, 62, 79, 112, 1
{ "pile_set_name": "DM Mathematics" }
d(j) = 22*j - 6. Let p be d(r). Calculate the remainder when o(p) is divided by 23. 12 Let o = -447 + 635. Let i(m) = -m**3 - 36*m**2 + 93*m + 2110. What is the remainder when o is divided by i(-37)? 36 Suppose -434 = -5*z - 4*s, -6*s = 3*z - 4*s - 258. What is the remainder when 316 is divided by z? 70 Let j(v) = 131*v + 273. Calculate the remainder when 362 is divided by j(-2). 10 Let h(c) = -13*c + 30. Let j be (-1*1)/((-5)/(-5)). Calculate the remainder when h(-6) is divided by (-4)/(-6)*-15*j. 8 Let s be (-4)/10 - 78/30. Suppose 0 = -4*g, -5*a + 11 = 5*g - 29. Calculate the remainder when 3 + ((-6)/s - -7) is divided by a. 4 Let m be (29 + 2)*-1 + 0. Suppose -37 - 28 = -n. Let k = m + n. What is the remainder when k is divided by 9? 7 Let s(n) = n**2 + 7*n + 1. Let b be s(-8). Suppose 0 = c + b - 39. Let t(v) = 3*v**3 - 22*v**2 - 17*v + 24. What is the remainder when c is divided by t(8)? 14 Suppose 3*k - 798 = 525. Suppose k*i = 434*i + 133. What is the remainder when 72 is divided by i? 15 Suppose -5*x + 415 = 3*l, -4*x + 0*l = 5*l - 332. What is the remainder when 240 is divided by x? 74 Suppose 0 = 14*y + 6556 - 6864. Calculate the remainder when 899 is divided by y. 19 Suppose 3*p = -3*s + 606, 541 - 132 = 2*s - 3*p. What is the remainder when 3245 is divided by s? 200 Let u = 117659 - 48273. What is the remainder when u is divided by 11? 9 Let l = -4 + 5. Let m(u) = -1 - u**2 + 0 - 8*u + l + 6. Calculate the remainder when 63 is divided by m(-7). 11 Suppose -15 = 2*c + x - 54, -x - 5 = 0. Calculate the remainder when 8204 is divided by c. 20 Suppose -56 = -13*z + 165. Suppose -u - 4*m = 4*u - 571, -m = -5*u + 576. What is the remainder when u is divided by z? 13 Suppose 29*h + 4*f = 33*h - 692, 5*f = -3*h + 487. Calculate the remainder when 1036 is divided by h. 22 Let n be 2/(-14) + (-106)/(-7) - -2. Suppose 6*c = n*c - 352. Let i = 29 - 18. What is the remainder when c is divided by i? 10 Suppose -2*z + 403 + 1 = 0. Let t(u) = u**3 + 22*u**2 + 67*u + 64. Calculate the remainder when z is divided by t(-3). 32 Suppose 101 = -8*s + 389. Let r = s + -11. Suppose -n + u = -75, -u + 85 = -5*n + 452. Calculate the remainder when n is divided by r. 23 Let s = -12 - -16. Suppose t = -3*q + 101, -3*q + q - s*t + 54 = 0. What is the remainder when 7/q - (-219)/5 is divided by 23? 21 Suppose l - 54 = 5*j, -121 = -4*l + 5*j + 35. Let p = l - 1. Suppose -132*b - 1440 = -212*b. What is the remainder when p is divided by b? 15 Suppose -22*r + 18*r = 4*u + 24, u = r - 8. Let q(g) = -27*g - 164. Calculate the remainder when 173 is divided by q(u). 23 Let c(s) = 11*s + 11. Let l = 337 - 167. Let d = l + -161. Calculate the remainder when c(3) is divided by d. 8 Suppose -6*d + 2*d = -312. Calculate the remainder when d is divided by 3774/(-37740) - 2/((-20)/201). 18 Let k(p) = 3*p**2 + 1. Let d be k(-1). Suppose -d + 0 = -2*m. Calculate the remainder when ((-9)/8)/((-4)/(-18) - (-1650)/(-4752)) is divided by m. 1 Suppose 0 = 858*f - 127332 + 17508. Suppose -93 = 5*q - 333. Calculate the remainder when f is divided by q. 32 Let u(t) = t**3 + 10*t**2 - 320*t + 27. What is the remainder when u(31) is divided by 248? 244 Let h be ((-8)/6)/(2/(-78)). Let b = 76 - h. What is the remainder when 44 is divided by b? 20 Suppose 2*y - 43 - 112 = -5*t, y + 3*t - 75 = 0. What is the remainder when 230 is divided by y? 50 Suppose -2*i + 644 = 2*q, 4*i - 442 = 4*q + 830. Suppose 5*w = -245 + i. Calculate the remainder when 102 is divided by w. 12 Let l = -42034 + 42083. Suppose -12 = -4*a + 28. What is the remainder when l is divided by a? 9 Let k = -5699 - 1219. Let n be (-4)/30 + k/90. Let f = n + 99. What is the remainder when f is divided by 10? 2 Let y(f) = -11*f**3 - 2*f**2 - 2*f - 1. Suppose 3*z + 321 = 18*w, -w - 5*z + 54 = -0*z. Calculate the remainder when y(-3) is divided by w. 18 Let n be -3*(-3 - -10 - (-110)/(-15)). Let m(s) be the third derivative of 23*s**6/120 - s**5/60 + s**2. What is the remainder when 131 is divided by m(n)? 21 Let m(k) = -503*k - 3031. What is the remainder when m(-8) is divided by 257? 222 Suppose 2*i + 3*i - 80 = 0. Suppose 17*h - 2099 - 43 = 0. What is the remainder when h is divided by i? 14 Let p be -6*((-105)/6)/(-7). Let h(j) be the first derivative of -j**4/4 - 16*j**3/3 - 9*j**2 + 12*j - 82. What is the remainder when h(p) is divided by 10? 7 Suppose -7*k + 74 = -24. What is the remainder when 403 is divided by k? 11 What is the remainder when 2485 is divided by -32*(12 - (-392)/(-32))? 5 Suppose 0 = 2*p - 45*t + 56*t - 93, 4*p = -4*t + 96. What is the remainder when 143 is divided by p? 10 Let b(f) = f**2 + 10*f - 8. Let v be b(-12). Calculate the remainder when 142 is divided by 8/6*(32/(-8) + v). 14 Let u be (-1)/3*(0/(-4) - -12). Let x be (u + 5)/(3 - 4). Calculate the remainder when (x + 3)*1*1242/36 is divided by 10. 9 Suppose 5*m = -5*g + 160, -5*m + 7*m = -g + 72. Calculate the remainder when 454 is divided by m. 14 Suppose 2*o + 2*l + 652 = -198, -4*l = o + 416. Let i = o + 439. What is the remainder when 29 is divided by i? 7 Suppose 0 = 3*p + 5*i - 120 - 28, 0 = -2*p - 5*i + 112. Calculate the remainder when 2069 is divided by p. 17 Let j = -27 + 32. Suppose -5*i + 2 = -4*r, 3 = -5*r + 4*i + j. What is the remainder when 43 is divided by r/(-10) - (-12)/40*54? 11 Suppose 500*o - 482*o = 846. What is the remainder when 218 is divided by o? 30 Suppose -8538 = -4*t + 3*p, -5*t + 4*t = p - 2138. Suppose t = 39*b - 15*b. Calculate the remainder when b is divided by (-5 - (-12)/3)*-27*1. 8 Let l(z) = 35*z - 80. Let o be l(10). Let j = o + -112. Calculate the remainder when j is divided by 40. 38 Let t(h) = 34*h**2 - h + 3. Let m be t(-2). Let b = 231 - m. Suppose 0*v + 4*v = 52. What is the remainder when b is divided by v? 12 Let l(p) be the third derivative of p**6/120 - 3*p**5/20 + p**4/24 + p**3/6 - p**2 - 30*p. Calculate the remainder when 35 is divided by l(9). 5 Suppose -4*t = -3*t - 11. What is the remainder when t is divided by (-12)/(-14)*117/(-13)*14/(-12)? 2 Let l(x) = 2*x**2 - 120*x + 479. What is the remainder when 3438 is divided by l(56)? 28 Suppose 2*u + 4*g = 2*g + 16, 5*g = 5*u - 50. Suppose -u*k + 30 + 6693 = 0. What is the remainder when k is divided by 6? 3 What is the remainder when 0 + (-8)/(-28) - (-517296)/1092 is divided by 115? 14 Suppose 2*o - 3*d = 205, -2*d - 179 - 27 = -2*o. Suppose -o*u - 24 = -107*u. What is the remainder when 47 is divided by u? 7 What is the remainder when ((-36)/90)/(2/(-3365)) is divided by 9? 7 Let o be (-1)/((-8)/4)*-4. Let j(u) be the second derivative of -u**5/4 + u**4/6 + 5*u**3/6 + 3*u**2/2 + 126*u. What is the remainder when j(o) is divided by 6? 5 Let f(g) = 34*g - 1310. Calculate the remainder when 219 is divided by f(41). 51 Suppose 0 = -128*u - 112*u + 26364 + 201156. Calculate the remainder when u is divided by 28. 24 Let w(o) = 360*o - 6. Let b be w(1). Suppose 10*d = 4*d + b. What is the remainder when d is divided by 23? 13 Suppose 2*p = -3*l + 41, 2*l + 2*p - 23 - 7 = 0. Suppose 0 = -a - 1 + l. Calculate the remainder when 62 - (-65)/(-26)*(-6)/(-5) is divided by a. 9 Let n be (30/(-9) - -3)/(1/(-12)). What is the remainder when -5 + 4/n*16 is divided by 6? 5 Let r(s) = 5*s + 53. Let m be r(-7). Calculate the remainder when -2 + 5 - -6*(m - -3) is divided by 35. 24 Let d(z) = -22*z + 2. Let k(f) = 12*f - 1. Let a(g) = -6*d(g) - 10*k(g). Let o = 4 + 0. Calculate the remainder when a(o) is divided by 6. 4 Let u(x) = -x**3 - 4*x**2 - 2*x - 5. Let h be u(-4). Let c(a) = 10*a**2 - 20*a + 50. Calculate the remainder when 477 is divided by c(h). 77 Suppose 3*a + 447 = 126. Let i = 160 + a. Calculate the remainder when i is divided by 12. 5 Let a = -2630 + 2968. Calculate the remainder when a is divided by 19. 15 Let x = -699 - -847. Suppose -x = -7*g - 57. Calculate the remainder when g is divided by 6. 1 Let p = 66 + -45. Let u(a) = -a**2 - 89*a - 7. Let g(k) = 88*k + 7. Let z(j) = 4*g(j) + 3*u(j). Calculate the remainder when z(28) is divided by p. 14 Suppose -2*o - 16 = -n + 2*o, 5*o + 41 = 2*n. Let h(v) = -105*v - 5069. Calculate the remainder when h(-52) is divided by n. 27 Suppose 209*q - 417*q - 30 = -210*q. Let d(y) = 5*y**2 + 2*y. Let x
{ "pile_set_name": "DM Mathematics" }
+ g*b**4 + f + a*b + w*b**2 and give a. -2 Express 2*f**3 - 7*f**2 - 1 - 1080404*f - 11*f**4 + 1080404*f as n + i*f**4 + h*f**3 + m*f**2 + c*f and give n. -1 Rearrange 108812*u**2 + 2*u + 7*u**3 + 12 - 54407*u**2 - 54392*u**2 to the form f + d*u**2 + m*u**3 + n*u and give n. 2 Express 2385*u**2 + 2394*u**2 - u**3 - 4776*u**2 + 116*u**4 in the form b*u**4 + v*u**2 + w*u + k*u**3 + j and give b. 116 Rearrange ((-3 - 3 + 5)*(-2*w - w + w) + 3*w + 0*w - 2*w + 4*w - 5*w - w)*(439 - 184*w**2 - 439) to the form k*w + y*w**3 + n + j*w**2 and give y. -184 Express 171*w - 277 + 3759*w + 127 + 150 in the form x*w + b and give x. 3930 Rearrange (m - 5 + 5)*(-5*m + 0*m + 4*m) - 4*m**2 + 4*m - 4*m - m**2 + 7*m**2 + 6*m**2 + (-4 + 5*m + 16 - 14)*(0 + 0 - 3*m) to o*m + r*m**2 + c and give o. 6 Express -7*m + 5*m + m**4 - 3345 + 3364 + m**4 + 7*m**2 in the form l*m**2 + x + a*m**4 + c*m**3 + s*m and give s. -2 Rearrange 1943*x - 130 - 45 + 175 to the form j*x + u and give j. 1943 Express 5*c**2 - 6 - 1 + 14 - 6 - 6*c**2 + 247*c in the form j*c + k*c**2 + g and give k. -1 Rearrange 30*d**2 - 35*d**2 + 38993*d**3 - 38992*d**3 - 2200 to k*d**3 + s + l*d + x*d**2 and give k. 1 Express -122*q + 471*q - 2 - 114*q + 89*q**3 + 6*q**2 - 119*q - 118*q as y*q + i + h*q**2 + g*q**3 and give i. -2 Rearrange -2119*z + 1059*z + 1055*z - 82 to the form v*z + c and give c. -82 Express -202*d + 73*d + 231 + 70*d + 59*d + 7*d**2 as v*d + y + m*d**2 and give m. 7 Express -281*b + 2 + 134*b - 870*b + 142*b in the form u + k*b and give u. 2 Express (26*g + 20*g - 14*g)*(5*g + g - 5*g)*(-10*g**2 - 52*g + 52*g) in the form k*g + s*g**3 + x*g**4 + a + n*g**2 and give a. 0 Rearrange (-18 - 8 - 10)*(-3*c + 0 + 0)*(61 - 167 + 63) to a*c + j and give a. -4644 Express -197*m + m**2 - 266 + 257 + m - 111*m in the form z + q*m**2 + i*m and give i. -307 Express 150*z - 1375*z - 724*z - 2224*z + 201*z as c + l*z and give l. -3972 Rearrange 23 - 4 - 9 - 83*v - 10 to k*v + s and give k. -83 Rearrange -10835*a**3 - 10745*a**3 + 5*a**2 + 21671*a**3 to n*a**3 + j*a + u + g*a**2 and give j. 0 Express 47 + 14*k - 17*k + 33 + 2*k**2 + 122 - 2*k**3 in the form c*k**2 + o*k**3 + r*k + d and give d. 202 Rearrange 3514*f - 5305*f - 4182*f to the form a + q*f and give q. -5973 Rearrange -204*k**3 + 23*k**4 + 202*k**3 - 7*k - 10*k**2 + 3 + 5*k - 21*k**4 to v + z*k**4 + s*k + l*k**3 + p*k**2 and give s. -2 Express 9*p**2 - 17012*p**3 - 2*p**4 - 6*p + 6 + 17012*p**3 as f*p**2 + x + b*p + w*p**4 + h*p**3 and give b. -6 Express (-4 + 2*h**3 + 4)*(-1676 + 897 + 1044) in the form w*h + a*h**3 + b + c*h**2 and give a. 530 Rearrange -3 - 43*f**2 + 117*f**2 + f**3 - 50*f**2 + f - 20*f**2 to the form w*f**3 + q*f**2 + d*f + v and give q. 4 Rearrange -5*b**4 + 8*b**4 - 4*b - 7*b - 17046*b**3 + 17048*b**3 - 2 + b**2 + 3*b**4 to l*b**2 + k*b**4 + o + w*b**3 + n*b and give l. 1 Express -33*z + 162 + 40*z + 162 + 37*z - 329 as q*z + n and give q. 44 Rearrange 4 - 18398*u**3 + 18400*u**3 + 8 - 30*u to r*u + d*u**2 + s + p*u**3 and give p. 2 Rearrange ((-226 + 226 - 22*c)*(-3 + 1 + 6) + 118*c - 60*c - 57*c + 1 + 0*c + c + c)*(-3 + 0 + 1) to b*c + u and give u. -2 Rearrange 13*o - 8636*o**4 + 17267*o**4 - 58 - 8633*o**4 - o**3 to y*o**4 + i*o**2 + d + z*o + b*o**3 and give y. -2 Express (-27*w**3 - 769*w**3 - 3539*w**3)*(3*w - w - w) + 0*w**4 + 0*w**4 - 2*w**4 as q*w + x*w**4 + v*w**2 + t*w**3 + c and give x. -4337 Express h**2 - 1590 - 1198 - 568 as w + v*h**2 + l*h and give v. 1 Rearrange -1 + 51*p**2 + 190*p**3 - 3*p - 53*p**2 - 191*p**3 to the form l + z*p**3 + q*p**2 + v*p and give l. -1 Express -2 + 76*x**3 + 70*x**3 + 247*x**2 - 126*x**3 - 21*x**3 as l*x**3 + a + z*x + o*x**2 and give l. -1 Rearrange (72 + 101 + 91 + 7 + 56)*(2*w - 3*w + 12*w) to the form g*w + p and give g. 3597 Express -2*c**3 - 17*c**4 - 2*c - 52797 + 26459 + 26423 as d*c + z*c**3 + v*c**2 + n + w*c**4 and give w. -17 Rearrange -233*i**4 - 3*i**3 + 0 + 81*i**4 + 52*i**2 + 1 + 73*i**4 - 2*i + 78*i**4 to the form l*i**3 + m*i**4 + v*i + c + j*i**2 and give j. 52 Rearrange u - 6 + 8*u**2 + 5 - 9*u**2 + 4*u**3 + (-2*u + u - u)*(31*u**2 - 59*u**2 - 30*u**2) to the form i*u + x*u**3 + l + d*u**2 and give d. -1 Express -4 + 4195*y**2 - 6 + 3 + 10 - 4 in the form u*y + c + b*y**2 and give c. -1 Rearrange 603*p + 609*p + 606*p + 593*p - 1613 - 2413*p to the form l*p + m and give l. -2 Rearrange 10*x**3 + 18*x**2 + 58 - 9*x**3 - 57 + x to p*x**2 + k*x + y + q*x**3 and give k. 1 Rearrange 39 - 40 - 9446*z + 1 to k*z + o and give k. -9446 Rearrange 4 + 6 + 5 - 17 - 167*l + 7 to z*l + f and give z. -167 Express -3804*b - 2218*b - 1732*b + 1 in the form s + g*b and give g. -7754 Express (-403*t**2 + 172*t**2 - 242*t**2)*(-t - 32*t - 6*t) + 4 + t**3 - 4 in the form o*t**3 + x + l*t**2 + d*t and give o. 18448 Rearrange (7*d + 242 - 221 - 11*d)*(-1 - 2*d**2 + 1) + d**3 - 4*d**2 + 4*d**2 - 2*d**2 + 2*d**2 - 4*d**3 to w + h*d + y*d**2 + f*d**3 and give f. 5 Express (6822 - 3023 + 14271)*(4*a + 0*a - 5*a) as m + z*a and give z. -18070 Express -2*i**4 - 7*i**3 + 9*i**3 + 1 + 46*i**2 + 121*i**2 + 4*i**4 in the form x*i**4 + m*i**3 + t*i + o*i**2 + g and give o. 167 Express -893*z - 43*z - 196*z as h + q*z and give q. -1132 Rearrange (-2*q + 1220 + 5609 + 681 + 14602 + 4761)*(0 + 2 - 3) to the form v + s*q and give v. -26873 Express -226*x**2 - 299*x**2 + 525*x**2 - 3*x - 3301*x**3 as b*x**3 + o*x + m + n*x**2 and give m. 0 Express (-2 - 3 + 4)*(53 - 113 + 88)*(-7*s**2 + 4*s**2 + 14*s**2) in the form t*s**2 + i + v*s and give t. -308 Rearrange (-3 + 1 + 5 + (-1 + 0 + 3)*(0 + 1 + 0))*(5 + 2*y - 5)*(-27*y**2 + 32*y**2 + 46*y**2 + 2) to d*y**2 + u*y**3 + b + p*y and give u. 510 Rearrange 159838*x**2 - 159230*x**2 - 4*x + 2*x + 2*x**3 + 0*x to o*x + a*x**3 + k*x**2 + b and give k. 608 Express -19*p - 2*p**2 - 4*p**4 - 44 + 44 - 717*p as x*p**3 + q*p**2 + r + u*p + z*p**4 and give u. -736 Express 4*m**2 - 3*m**2 + m**2 + (-m + m - m)*(-140*m - 358*m - 282*m) in the form q*m**2 + s*m + g and give q. 782 Rearrange -h**3 - 5165*h**4 + 2*h**2 + 9 - 7 + 13414*h - 13413*h to the form k + x*h**3 + u*h**4 + t*h + g*h**2 and give t. 1 Rearrange (-7*h - 14 + 14)*(58*h**2 + 30*h - 30*h) + (h - 6*h - 2*h)*(h**2 + h - h) - h**3 + 3*h**3 + 0*h**3 to x + r*h**3 + k*h**2 + t*h and give r. -411 Express -71 - 19805*f**2 - 2*f**3 + 19805*f**2 as u + m*f + r*f**3 + j*f**2 and give u. -71 Rearrange -16*c - 465*c - 1 - 295*c - 511*c to the form r*c + s and give r. -1287 Express -25*l**3 - 5*l - 2*l**2 - 359*l**4 + 48*l**3 - 21*l**3 + 376*l**4 as m*l**3 + i*l**2 + w + a*l**4 + f*l and give f. -5 Rearrange 148*k**4 - 147*k**4 + 7*k**3 - 34*k**3 - 24*k to s + r*k**3 + z*k + o*k**2 + q*k**4 and give r. -27 Rearrange -33*k + 449 + 221*k - 217 - 33*k - 222 to b + h*k and give b. 10 Express (-m + 0*m - 4*m + (-1 + 3 - 5)*(3*m + 6 - 6))*(148*m + 59*m**2 - 148*m) in the form k + f*m + a*m**2 + t*m**3 and give t. -826 Express (13*f**3 + 9*f**3 - 3*f**3)*(1 - 1 + 1) + 4*f**3 + 6*f**3 - 6*f**3 + 15 in the form g*f + m*f**2 + b*f**3 + d and give b. 23 Rearrange (2 + 0 - 5)*(-3*c - 27 - 3*c - 59 - 40) to b + l*c and give b. 378 Rearrange 423*z**3 + 2*z - 60*z**3 + 2*z**4 + 508*z**3 - z**2 - 3 + 16*z**3 to the form h*z**2 + s*z**3 + a + g*z**4 + q*z and give a. -3 Rearrange 10*i - 6*i - 351 - 2*i + 313 + 2343 to d*i + y and give y. 2305 Rearrange 12*t**3 + 3*t + 29 + 22 + 41*t**2 - t**4 - 12*t**3 - 56 to c*t**4 + z*t + o*t**3 + h + m*t**2 and give c. -1 Rearrange (-n**2 + 1619*n + 10 - 1619*n)*(72 - 216 + 97) to p + o*n + d*n**2 and give p. -470 Rearrange 191454*v - 185031*v + 1 - 3 to the form r + b*v and give b. 6423 Rearrange -1005*b**3 + 2*b - 2 - 216*b**2 + 2*b**4 + 992*b**3 + 219*b**2 to the form o*b + t + h*b**3 + n*b**4 + l*b**2 and give t. -2 Express 1028 + 1022 + 129*c**2 + 20*c**3 + 1028 - 4103 + 1026 in the form m*c**2 + o*c + v + a*c**3 and give a. 20 Rearrange 5279*h - 5432*h + 1 + 40*h**2 - 59*h**2 to w*h + c*h**2 + v and give w. -153 Express -14 + 6077*v - 7 - 4 + 35 - 8 in the form n*v + s and give s. 2 Rearrange 38*h**2 - 29*h**2 + h**3 - 153*h - 1 - 9*h**2 - 2*h**2 to the form g + b*h + c*h**2 + u*h**3 and give u. 1 Express (-180 - 26*t + 180)*(54*t - 161*t + 66*t + 45*t - 158) in the for
{ "pile_set_name": "DM Mathematics" }
Let w(n) be the first derivative of 9*n + 151 + 1/2*n**2. What is w(f(c))? 3*c**2 + 9 Let f(o) = 2421659*o. Let j(v) = 24*v. Calculate f(j(r)). 58119816*r Let q(r) be the first derivative of -r**3 + 15. Let y(o) = 72*o + 1459 - 1459 + 65*o. Calculate q(y(g)). -56307*g**2 Let z(d) = 3*d**2. Let h(s) = -7*s**2 - s - 119311. Determine h(z(f)). -63*f**4 - 3*f**2 - 119311 Let o(n) = 2*n**2 + 2*n - 4. Suppose -41*z + 46*z = 10. Let t(d) = 8*d**2 + 7*d - 14. Let y(l) = z*t(l) - 7*o(l). Let s(q) = -6*q**2 + 9*q. Calculate s(y(b)). -24*b**4 + 18*b**2 Let n(y) = 263210*y. Let v(o) = 405*o. Determine v(n(s)). 106600050*s Let f(g) = 27*g**2. Let l(r) = 31210300*r**2. Determine l(f(w)). 22752308700*w**4 Let d(a) = 2*a**2. Let h(r) be the first derivative of -386*r**2 - 3441. Calculate d(h(s)). 1191968*s**2 Let y(m) = m**2. Let k(u) = -60*u**2 + 52614. Calculate k(y(i)). -60*i**4 + 52614 Let p(a) = -a**2. Let t(g) = 132915*g**2 + 7*g - 2. Determine t(p(d)). 132915*d**4 - 7*d**2 - 2 Let p(m) be the third derivative of 61*m**4/24 - 123*m**2 - 12. Let q(z) = -113*z**2. What is p(q(n))? -6893*n**2 Let t(v) = v**2 + 3*v - 26. Let p be t(-8). Let h(s) = 9*s + 8*s - p*s. Let b(f) be the third derivative of -f**5/30 + 2*f**2. What is h(b(m))? -6*m**2 Let k(x) be the first derivative of x**5/15 - x**2 + 33*x + 68. Let m(j) be the second derivative of k(j). Let i(q) = -14*q**2. Calculate m(i(b)). 784*b**4 Let i(u) = 5*u**2. Let d(c) = 902820*c**2 + 3280. Let m(q) = -826*q**2 - 3. Let k(z) = 3*d(z) + 3280*m(z). Calculate k(i(s)). -20500*s**4 Let r(p) = 2*p. Let l(o) = 1121*o**2 + 209*o + 209. Let i(h) = 30*h**2 + 60*h + 2*h**2 + 67*h + 6 - 121*h. Let b(d) = 209*i(d) - 6*l(d). Give b(r(w)). -152*w**2 Let s(h) = 2*h + 116 - 8 - 108. Let x(u) = -66*u**2 - 21*u. Determine x(s(g)). -264*g**2 - 42*g Let w = -1 - -3. Let o(y) = -y**w - y**2 + y**2. Let r(s) = -8*s**2 - 4. Let a(b) = -7*b**2 - 5. Let d(k) = 4*a(k) - 5*r(k). Calculate d(o(x)). 12*x**4 Let v(q) = 27066335*q. Let a(y) = 7*y**2. Determine v(a(s)). 189464345*s**2 Let f(k) = -5485*k**2 - 5583*k**2 + 11066*k**2. Let a(h) = -5248*h**2. Determine a(f(j)). -20992*j**4 Let l(q) = 8*q. Let i(n) = -7*n**2 - 3*n. Let m(x) = -2*x**2 - x. Let z = -56 + 55. Let w(v) = z*i(v) + 3*m(v). Give l(w(t)). 8*t**2 Let n(j) = 2*j. Let v(q) = q + 2959823. What is n(v(b))? 2*b + 5919646 Let k(c) be the third derivative of c**4/2 - 2*c**2. Let t(p) = -1. Let q(h) = -2*h - 5. Let j = 251 + -249. Let v(m) = j*q(m) - 10*t(m). Give v(k(s)). -48*s Let b(w) = w. Let j be (354/(-4))/((-15)/10). Let g(s) = 477*s + 472*s - j - 947*s. Calculate b(g(q)). 2*q - 59 Let r(d) be the second derivative of 0 + 13*d + 1/6*d**3 + 0*d**2. Let n(a) be the first derivative of -13*a**2/2 - 17. Calculate r(n(q)). -13*q Let r(a) be the second derivative of -a**3/6 - 16*a**2 - 1392*a. Let y(l) = 5*l. Determine y(r(p)). -5*p - 160 Suppose b - 57 - 31 = -3*m, 5*m - 143 = 2*b. Let y(r) = -29 - 6*r + m. Let c(i) be the first derivative of 5*i**3/3 - 8. Calculate y(c(z)). -30*z**2 Let w(d) = -d - 6291. Let l(u) = -565*u**2 + 2. Determine w(l(n)). 565*n**2 - 6293 Let m(p) = -740*p + 580. Let a(t) = -31*t + 24. Let r(l) = -145*a(l) + 6*m(l). Let i(c) = -c**2 + 5*c. Determine r(i(u)). -55*u**2 + 275*u Suppose 52 - 48 = 3*k - 4*q, 2*k - 2 = 3*q. Let v(s) be the second derivative of -46*s + 0 - 55/2*s**2 + 0*s**3 - 1/6*s**k. Let t(j) = -j**2. Calculate t(v(g)). -4*g**4 - 220*g**2 - 3025 Let b(d) = 5058*d. Let f(v) = -2*v**2 + 4*v**2 - 137*v + 104*v + 33*v. What is b(f(n))? 10116*n**2 Let v(c) = -1316*c + 78. Let r be v(-3). Let u be 2*10*6/8. Let h(x) = 4026 - u*x**2 - r. Let g(o) = -o**2. Give g(h(f)). -225*f**4 Let v(f) = 254*f**2 - 8550. Let n(d) = -d. Calculate v(n(b)). 254*b**2 - 8550 Let s(g) = 0*g + g + 9*g - 14*g + 6*g. Let y(m) = -m + 512. Determine s(y(r)). -2*r + 1024 Suppose 5*v - 4*r + 105 = 448, -2*r + 361 = 5*v. Let s(x) = v*x**2 + 71*x**2 - 136*x**2. Let y(z) = 5*z. Determine y(s(k)). 30*k**2 Let a(b) = 579149*b - 578 - 579149*b + 2*b**2. Let p(y) = 2*y. Give a(p(x)). 8*x**2 - 578 Let a(z) = 45*z**2. Let k(s) = -56564*s + 2. What is k(a(o))? -2545380*o**2 + 2 Let r = -228 + 291. Let n(b) = -r*b + 23*b + 21*b + 18*b. Let m(w) = -w**2 - 14*w. Determine m(n(d)). -d**2 + 14*d Let i(y) = -85*y. Let v(u) be the second derivative of 14 + 1/3*u**3 - 2*u + 0*u**2. Calculate v(i(z)). -170*z Let y(j) = -6*j. Let q(b) = -19129*b + 4. What is q(y(k))? 114774*k + 4 Let f(g) = 126*g**2 + 2*g. Let p(b) be the second derivative of -3*b**3/2 - 129*b - 2. What is p(f(x))? -1134*x**2 - 18*x Let g(c) be the second derivative of -c**4/4 - 2*c + 236. Let x(o) = -602*o**2. What is g(x(p))? -1087212*p**4 Let k(g) = -2919523 + 2919523 + 100*g. Let w(p) be the first derivative of p**2 + 1. Calculate w(k(b)). 200*b Let s(k) = k + 7. Let a be s(-5). Let j(h) = h**a - h**2 + 2*h**2. Let g(c) = -29221*c + 30*c**2 + 29221*c. Determine g(j(x)). 120*x**4 Let z(r) = -6*r. Let a(w) be the third derivative of -2*w**2 + 0 + 145*w + 0*w**3 + 0*w**4 + 1/15*w**5. Determine z(a(m)). -24*m**2 Let k(r) be the second derivative of r**4/12 + 2087*r. Let n(f) be the second derivative of 47*f**3/6 - f. Determine k(n(v)). 2209*v**2 Let m(d) = -8*d + 45*d - 6*d - 33*d. Let q(z) = -77*z**2 - 2*z. Calculate m(q(f)). 154*f**2 + 4*f Let d(w) = -3*w**2. Let i(k) be the third derivative of 0*k + 67/60*k**5 + 0 + 64*k**2 + 0*k**4 - 1/3*k**3. What is i(d(r))? 603*r**4 - 2 Let z(y) = -19*y. Let g(b) be the second derivative of -39*b**3/2 + 7*b - 85. What is g(z(s))? 2223*s Let b(a) = -4*a + 2367 + 2325 - 4858. Let k(r) = -2*r. What is b(k(w))? 8*w - 166 Suppose 0 = 4*j + j - 60. Let i(r) = 0 + 0 - j*r. Let a(d) be the first derivative of 2*d**2 - 32946. What is i(a(k))? -48*k Let d(w) = 2*w + 30. Let b(s) = -s**2 - s. Let g(r) = -3*r**2 - 4*r. Let p(a) = -4*b(a) + g(a). Calculate p(d(v)). 4*v**2 + 120*v + 900 Let x(d) = -2*d + 296. Let z(r) = 28*r**2 + 64*r - 2. Determine z(x(n)). 112*n**2 - 33280*n + 2472190 Suppose -9200 = -p + 640. Let k(a) = p*a - 9840*a + 2*a**2. Let x(g) = -2*g + 2 - 2. Determine x(k(l)). -4*l**2 Let y(j) = 1372*j + 317. Let t(q) = -q**2. Calculate y(t(a)). -1372*a**2 + 317 Let o(j) = -54*j**2 - 17*j + 17. Let f(h) = -19*h**2 - 6*h + 6. Let b(z) = -34*f(z) + 12*o(z). Let k(l) = l + 803. Calculate b(k(d)). -2*d**2 - 3212*d - 1289618 Let l(m) = -2*m. Let b(g) be the second derivative of 39*g**4/4 + 17*g**2/2 - 30*g - 14. What is l(b(q))? -234*q**2 - 34 Let c(p) be the second derivative of -p**3/6 + 4*p - 24. Let f(j) = -1121*j + 2. Determine f(c(x)). 1121*x + 2 Let p(u) = 3*u**2 - 1 + 1. Let y(q) = -2*q**2 + 16*q + 6. Let f be y(7). Let i(b) = 8 - f + 14*b + 12. Calculate p(i(v)). 588*v**2 Let g(j) = j + 28. Let d(y) = -9*y + 106742*y**2 + 40*y - 106743*y**2. Determine d(g(r)). -r**2 - 25*r + 84 Let r = 3549 - 3549. Let j(b) be the second derivative of r*b**2 - 4/3*b**3 - 6*b + 0. Let g(c) = c**2. Give j(g(u)). -8*u**2 Let h(g) be the first derivative of -26*g**2 - g + 2407. Let f(q) = -4*q. What is h(f(v))? 208*v - 1 Let v(l) = -16*l**2. Let b(c) = 301*c**2 - 36*c - 9. Let j(o) = 12191*o**2 - 1460*o - 365. Let s(y) = -365*b(y) + 9*j(y). Calculate v(s(q)). -341056*q**4 Let d(g) = -5*g. Let a(x) be the first derivative of 1/6*x**3 - 16*x + 9 + 0*x**2. Let w(v) be the first derivative of a(v). Calculate d(w(p)). -5*p Let w(k) = -16233956*k**2 - 22065*k + 228005. Let v(l) = 4415*l**2 + 6*l - 62. Let u(a) = 7355*v(a) + 2*w(a). Let d(h) = h**2. What is d(u(o))? 19474569*o**4 Suppose -l = -10 + 2. Let o(k) = -11*k**2 - 8*k**2 - l*k**2 + 26*k**2. Let d(r) = 7*r**2 + 0*r**2 + 7*r**2. Calculate d(o(q)). 14*q**4 Let k(r) = -75639*r**2. Let a(h) = -188*h**2. Calculate k(a(f)). -2673384816*f**4 Let x(c) = 1214*c. Let n(q) be the second derivative of q**3/3 + 101*q - 50. Determine x(n(p)). 2428*p Let w(i) = 21*i - 110. Let l(r) = -28306*r. Calculate l(w(f)). -594426*f + 3113660 Let g(y) = 10*y**2. Let l(w) = 39146236*w**2. Calculate g(l(s)). 15324277929676960*s**4 Let y(z) = 42*z**2 + 28*z - 28. Let b(q) = 4*q**2 + 2*q - 2. Let f(x) = -14*b(x) + y(x). Let t(w) = -141*w**2. Calculate t(f(g)). -27636*g**4 Let s(y) = 1384*y + 98. Let v(w) = 214*w**2. Give s(v(r)). 296176*r**2 + 98 Let y(q) = -2557*q + 1279*
{ "pile_set_name": "DM Mathematics" }
= -24*z. Let c be q(2). Let w = c - -91. Let s = -585 - -710. What is the remainder when s is divided by w? 39 Suppose 17*a - 360 = 9*a. Let h = 91 - a. What is the remainder when h is divided by (-240)/(-36)*((-15)/(-4) - 0)? 21 Suppose 53*o = -39*o + 16*o + 304. What is the remainder when o is divided by 1? 0 Let k(z) = -z**3 - 10*z**2 + 23*z + 73. Calculate the remainder when 189 is divided by k(-12). 19 Suppose -11910 - 1817 = -1961*s. Calculate the remainder when 12*1*(-31)/(-3) is divided by s. 5 Let u be (-250)/20*(0 + 2). Let g be -6*(u/(-10) - 3). Suppose -44 = -g*c - 35. Calculate the remainder when 6 is divided by c. 0 Suppose 4*f = d + 3*d - 1912, 0 = -5*f + 5. Calculate the remainder when d is divided by 41. 28 Let p = 288 - 197. Suppose 7*d + 5*q = 8*d + 17, -6 = 2*d - 3*q. Suppose a = d + 29. Calculate the remainder when p is divided by a. 27 Suppose p - o - 1 = -p, 9 = 5*p + 4*o. What is the remainder when (p - (-1)/5)/(6/3280) is divided by 14? 12 Suppose -4 = 2*p + 2*z, -2*p + z - 2*z - 7 = 0. Let a be 2/p - 16172/(-130). Suppose -254 - a = -3*q. What is the remainder when q is divided by 10? 6 Let t(l) = 4*l**2 - 9*l - 16. Calculate the remainder when t(-3) is divided by (-245)/(-8) - (-78)/208. 16 Suppose 12*f + 4 - 40 = 0. Suppose 5*p + 2*m = 4*m + 48, 33 = f*p + 3*m. What is the remainder when 46 is divided by p? 6 Suppose -z = -3*g + 21 - 6, 0 = 2*g - 3*z - 3. Suppose 0 = -g*p - 26*p + 13952. What is the remainder when p is divided by 88? 84 Suppose 8 + 1 = 3*a. Suppose i + 34 = 4*r + a*i, -3*i = -r + 5. Suppose 2*x = -s + 36, r = 5*x + 23. What is the remainder when s is divided by 11? 9 Suppose 21*k - 26 = 20*k. Suppose -5*m = -3*z + 33, -2*m - z - k = z. Calculate the remainder when 30 is divided by -1 - m - (4 + -4). 6 Suppose -17*b - 3*z + 12 = -14*b, -3*z + 5 = -4*b. What is the remainder when 94/(-6 - (-8)/b) is divided by 6? 5 Let b be (-2 - (-1320)/(-9))*-3. Suppose -n - d = -107, 4*n - d - b = d. Calculate the remainder when n is divided by 29. 23 Let o(c) = -c**2 + 4 - 4618*c + 4624*c + 4. Calculate the remainder when 79 is divided by o(6). 7 Let z = 12413 - 12213. Calculate the remainder when 583 is divided by z. 183 Let i = 961 + -942. Suppose -2*n = n + 2*d - 401, 3*n - 381 = 3*d. What is the remainder when n is divided by i? 17 Let o = 5675 + -1864. Calculate the remainder when o is divided by 123. 121 Suppose 0 = -4*s + 21 - 5. Suppose -c = s - 26. Suppose 16*a + 198 = -40*a + 870. Calculate the remainder when c is divided by a. 10 Let x be 144/(-90)*(-1 - 53/2). Suppose -x*f + 8494 = -13*f. Calculate the remainder when f is divided by 46. 44 Let v(k) = k**3 + 8*k**2 + 13*k - 9. What is the remainder when v(8) is divided by 15? 9 Suppose -20*i + 10612 = 8*i. Let t = 382 - i. Let o(b) = -b**2 - 5*b + 1. Calculate the remainder when o(-4) is divided by t. 2 Let q(m) = 2*m**3 + 3*m - 5. Suppose t - 43 = -t - 5*u, -2*t + 3*u = -35. Calculate the remainder when t is divided by q(2). 2 Suppose 16*h = 18*h + 8, -5*h = 5*k - 8715. What is the remainder when k is divided by 125? 122 Let q(h) = -10*h + 62. Let i be q(6). Suppose 2 = 5*n + p, 4*n - 3*p - 11 = i*n. Calculate the remainder when 10 is divided by n. 0 Suppose 3*p - 49*j - 1053 = -46*j, -8 = 2*j. What is the remainder when p is divided by 173? 1 Let l be (-4)/6*60/(-4). What is the remainder when 35 is divided by 26/14*((l - 12) + 9)? 9 Suppose 6269 = 28*d - 5743. Calculate the remainder when d is divided by 53. 5 Suppose 122*t - 125*t = 84. What is the remainder when 27 is divided by -8*((-49)/t + -3)? 7 Let f(g) = g**3 - 19*g**2 - 16*g - 1. Let q = 67 + -47. What is the remainder when f(q) is divided by 18? 7 Let t = -5 - -20. Suppose 5*q - 3*q = 4*g - 256, -5*g + 8*q = -331. What is the remainder when g is divided by t? 3 Suppose -14*g - 11664 = 4*g. Let k = -596 - g. Calculate the remainder when k is divided by 17. 1 Suppose 2*l + 350 - 364 = 0. Suppose 21*t - 119 = l. Calculate the remainder when t is divided by 2. 0 Let f(w) = w**3 + w**2 - 5*w + 6. Let x be f(-3). Let h = 3 + x. Let t(p) = 10*p**2 - 34*p + 8. What is the remainder when t(h) is divided by 55? 54 Let g = 7897 + -7693. Let u = -4 - -17. What is the remainder when g is divided by u? 9 Let r(k) = k**3 + 2*k**2 - 7*k + 4. Let p be r(-4). Suppose p = -3*j + 49 + 5. Calculate the remainder when 193 is divided by j. 13 Let k = 49743 + -49713. Let m(z) = 25*z**2 + 3*z + 2. Calculate the remainder when m(3) is divided by k. 26 Suppose -2*w + 717 = 3*g + 2*g, -2*w = 2*g - 282. Suppose 0 = -2*z + 5*j - 0*j + 157, 2*z - g = j. Calculate the remainder when z is divided by 37. 34 Suppose -276*f + 111351 = -147578 - 96007. What is the remainder when f is divided by 631? 24 Let a(x) = 600*x - 2323. Calculate the remainder when 692 is divided by a(4). 76 Suppose -64*u - 3701 + 12149 = 0. Calculate the remainder when u is divided by 25. 7 Let x be (-5)/2*18/(-15). Let p be 0/(4*(-15)/12). Suppose 0 = -x*r + 3*u + 150, r = -p*u + 4*u + 41. Calculate the remainder when r is divided by 5. 3 Suppose 0 = w - 3*f - 229, 2*w - 13*f = -12*f + 438. What is the remainder when w is divided by 21*((-2)/(-1) + 8/6)? 7 Let v(d) = 12*d**2 + 119*d + 85. Calculate the remainder when v(31) is divided by 178. 176 Let q be (-2)/6 - (-4)/((-48)/380). What is the remainder when (1 - -9) + -6 - q is divided by 10? 6 Let r = -963 + 1008. Calculate the remainder when r is divided by (-4)/(-26) + 462/39. 9 Suppose -42 = -2*z - o + 23, 5*o = 5*z - 185. Let s(n) = -n**3 - 2*n**2 + n + 2. Let w be s(2). Calculate the remainder when z is divided by 58/8 - w/(-48). 6 Let a(u) = -4*u - 11*u + 20*u - 11 - 8*u**2 + 2*u**3 - 9*u. Calculate the remainder when a(5) is divided by 7. 5 Suppose 5*p = -5*n + 3620, 3*n = -150*p + 153*p + 2130. What is the remainder when n is divided by 357? 3 Calculate the remainder when 106 + (-22)/(-33)*-18 is divided by 480/42 + 12/21. 10 Let p = 29 + -14. Let u(g) = -14*g**2 + 747*g - 296. Calculate the remainder when u(50) is divided by p. 14 Suppose 2*b = -2*b - 292. Let a = b - -203. What is the remainder when a is divided by 2? 0 Suppose -1 - 227 = -4*s. Suppose 2351*m + 3*n + 102 = 2355*m, -n - 155 = -5*m. Calculate the remainder when s is divided by m. 24 Suppose -14*h + 19*h = -82*h + 6003. What is the remainder when 1835 is divided by h? 41 Suppose -4*f + 92 = -0. What is the remainder when 18/15*972/72*5 is divided by f? 12 Suppose -4 = -v + 2. Let m = 15497 - 15483. What is the remainder when v/3*(-2 - -29) is divided by m? 12 Let y(o) = -o**2 + 19*o + 13. Let t = 31 + -14. What is the remainder when y(16) is divided by t? 10 Suppose -24*o + 64*o = -89*o + 66564. What is the remainder when o is divided by 85? 6 Let j(r) be the first derivative of r**3/3 - 15*r**2/2 + 52*r - 59. What is the remainder when 3 is divided by j(10)? 1 Let i(k) be the first derivative of k**4/4 + 4*k**3 + 3*k**2 - 4*k - 11. Let d be i(-11). Let w = -31 + d. Calculate the remainder when w is divided by 11. 9 Let s(r) = 129*r + 57. Let t be s(1). Suppose 48*b = 54*b - t. Calculate the remainder when 86 is divided by b. 24 Suppose 0 = 3*h + 5*q - 259, 4*h + q = 4 + 347. Let l(t) = -2*t**2 - 38. Let c be l(0). Calculate the remainder when h is divided by (53 + c)/((-1)/(-3)). 43 Let z(j) = j + 22. Let m be z(-10). Suppose 0 = u - m - 43. Calculate the remainder when u is divided by 5232/2180 + ((-1064)/10)/(-4). 26 Let y(r) = 5*r - 10. Suppose 5*n - 34 = -4. Suppose -8*g + n*g = -10. What is the remainder when 49 is divided by y(g)? 4 Let a(q) = -q**3 - 8*q**2 + 13*q - 14. Let d be a(-10). Let w = d + -54. What is the remainder when 38 is divided by (w/(-6))/((-2)/(-15))*-2? 3 Let a be (-1)/(-5) + 209/55. Suppose 5*y = a*p - 5, -2*y + 12 = 2*p - 4. Suppose -y*f + 14 + 40 = 0. What is the remainder when 69 is divided by f? 15 Let a = 250 - 247. Suppose 0 = a*w + 93 - 276. Calculate the remainder when w is divided by 21. 19 Let j be 110/(-22) - (-1)/1. Calculate the remainder when 44 is divided by (32 - 4 - j)/(1*2). 12 Let s(w) = 551*w**2 - w - 8. Calculate the remainder when s(-1) is divided by 7. 5 Let w(y) = y**3 + 6*y**2 - 4*y - 2. Suppose -11600 = 906*m - 1022*m. What is the remainder when m is divided by w(-6)?
{ "pile_set_name": "DM Mathematics" }
+ (1 - 0) - -7) + -4? 2 (-5 - 2) + -2 + (-5 - -10) -4 What is 3 - (-2 + 0 - -1 - -3)? 1 What is (5 - (6 - -3 - 5)) + -2? -1 Evaluate -4 - (-1 + (-13 - -9)). 1 Calculate 2 + (2 - 1) + 3 + -4. 2 Calculate -21 - -25 - (0 - (1 - 10)). -5 Calculate -44 + 42 + (-2 + 1 - 0). -3 0 - -5 - (2 + 7 + -11) 7 -4 + -8 + 5 + 7 0 Evaluate -27 + 39 - (7 + 1). 4 What is the value of -4 + (8 - 12) + 5? -3 Calculate 5 + -4 + 8 + (5 - 11). 3 What is -1 - (4 + (-4 - -3) - 1)? -3 What is 1 - (-3 - (4 - 3))? 5 -5 + 2 - (-5 + 2) - 3 -3 Evaluate 6 - ((-16 - -9) + 3). 10 Evaluate 0 - ((-7 - -4) + -5). 8 What is the value of 7 - 4 - 6 - 5 - -6? -2 4 + (-6 - -2) - (-2 - 0) 2 Evaluate (-2 - -10 - 2 - -3) + -2. 7 What is (-6 + -1 - (11 + -7)) + 6? -5 Evaluate -3 - (-4 + (-2 - -7)) - 0. -4 What is the value of 1 + (-3 + 1 - 3) + 1? -3 What is 25 + -6 + -18 - (-2 + 0)? 3 Calculate 8 + -5 - (6 - 3). 0 Evaluate -10 - -7 - (4 - (-4 + 8)). -3 1 - (-3 + 3 - -3 - 2) 0 What is the value of -7 - (-8 - -4) - (3 + -4)? -2 -4 - (5 + -2) - -7 0 Evaluate 5 - (8 + 6 + -14). 5 What is the value of -13 - -11 - (0 + 2)? -4 Evaluate 0 + 4 + -7 + -1 + 8. 4 What is (1 - 0) + 2 + -6? -3 Evaluate 2 - (-6 + 3 + 8). -3 1 + -7 - 3 - -1 -8 4 - (2 + (1 - 4)) 5 (2 - 2) + (-2 - -1) -1 6 + (1 - -4 - 6) 5 Evaluate 1 + -1 + 6 + -2 + -1. 3 Calculate -5 - (3 + 0 - (-1 - -12)). 3 -1 - -6 - (27 - 17) -5 What is the value of (0 - (0 - (-1 - -1))) + -3? -3 4 + -3 - (-3 - 0) - -3 7 What is (4 - 11 - -8) + 0 - -4? 5 What is -9 + 11 - 6 - 1? -5 Calculate 11 - (-5 + (2 - -9)). 5 2 - (-3 - (1 - (3 + 1))) 2 What is the value of 0 + 2 - ((7 - 6) + -2)? 3 What is 7 + -2 + 1 + -9 + 7? 4 What is 1 - -1 - (-5 + (-2 - -8))? 1 Calculate (4 - 6) + 4 + (-2 - 1). -1 1 + (-7 + 9 - 8) -5 What is the value of (4 - (-14 + 3)) + -6 - 3? 6 (2 - -3) + -1 + -3 1 (1 - (3 + -2)) + -2 -2 What is -4 + 5 + -9 + 16? 8 What is (3 - 9) + 6 + -5? -5 Calculate (22 - 24) + 7 + 1. 6 What is the value of (-17 - -7) + 10 + -6? -6 What is the value of (-2 - 1) + (0 - 1) + -1? -5 0 + (-4 - (4 - 7)) + 8 7 Calculate 6 - (2 + -3 - -2). 5 What is the value of 22 + -13 + (-2 - -1) + -4? 4 (-1 + 5 - 4) + -5 -5 -1 - -4 - (-3 + 6 + -3) 3 Evaluate 1 + 9 + 3 + -12. 1 What is the value of 8 + (2 - 0) - 5? 5 What is 11 - (-1 + -2 + 6)? 8 2 - (-3 - (4 - 8)) 1 Calculate 0 + 2 + -6 + 9. 5 Calculate 2 - ((6 - -1) + (-22 - -11)). 6 What is the value of -1 + 0 - (0 + (-8 - -1))? 6 Calculate 2 + -5 + 6 - 5. -2 -4 - -2 - (-2 - -4) - -4 0 Calculate (-35 - -35) + -5 + 1 + 6. 2 Calculate 2 + -9 - -1 - -11. 5 What is the value of 4 - (1 - -13 - 4)? -6 Evaluate 5 - ((4 - (-3 + 2)) + -3). 3 What is 3 + (2 - -1) + (0 - -1)? 7 -9 + (5 - 18 - -26) 4 What is the value of -1 - (-6 - (5 + -7))? 3 What is the value of -11 - (-15 - -8) - -11? 7 What is (-8 - -2) + -5 + 15? 4 What is the value of -3 - (22 + -18 - (2 - -3))? -2 Calculate 4 - (7 + -8) - 9. -4 11 + (-2 - 7) - -4 6 Calculate -9 - (3 + -6 - 11). 5 Calculate -14 + 20 - (2 + -1). 5 What is the value of 2 + -1 + 0 + -1 + 3? 3 Evaluate 0 - -3 - (38 + -27). -8 Calculate (-1 + 3 - 1) + (-3 - 0). -2 Calculate -6 + 3 + -4 - -6. -1 -3 + 1 + -4 - (-4 - -3) -5 What is -9 + (4 - 2) + 6? -1 Evaluate (-5 - 3) + 3 + 2 + -2. -5 What is the value of -11 + 3 + 5 + 0 + 1? -2 14 - (-11 - -15) - 5 5 What is 2 + 5 + 4 + -6? 5 0 + 1 - (12 + (-11 - 2)) 2 Evaluate (3 - 12) + 3 - -1. -5 9 - 24 - (-1 + 0 - 7) -7 (0 + 0 - -2) + -2 0 Calculate 0 + (1 - (-2 - (0 + 3))). 6 What is (-3 - -1) + -2 + 6 + 3? 5 What is (0 - -2 - (-1 - -4)) + 3? 2 Evaluate 3 - (3 - (-11 - -5)) - -10. 4 -3 - (-7 - (7 - 14)) -3 Evaluate 5 - (-15 - -10 - (2 + -10)). 2 What is -3 + 13 + -3 + -6? 1 -25 - -31 - (0 + 1) 5 Calculate -2 - ((2 + 0 - 6) + 7). -5 1 + 0 - (-2 - -6) - -7 4 1 + 1 + 0 + 3 + -5 0 0 - -2 - (-2 - -2) 2 Evaluate 205 - 198 - (-1 + 9). -1 10 - (-17 - -11 - -16) 0 What is (-11 - -8) + (-2 - (-8 - 2))? 5 What is 0 - (-1 - -4 - 8) - 10? -5 Evaluate (-1 - 2) + 4 + -3. -2 -7 + 20 + -9 + (2 - 3) 3 Evaluate -2 - -1 - (-7 + 5). 1 What is -4 + 2 - (-4 + 2 - -2)? -2 Evaluate -49 + 47 + (-2 + 2 - 1). -3 13 + -15 - ((0 - -1) + 2) -5 What is -1 + 2 + -2 + 4? 3 Calculate (-4 - 1) + -4 + 2 + 2. -5 What is the value of 0 + (-13 - 0 - -6)? -7 What is the value of (25 - 26) + (1 - 3)? -3 Calculate -1 + (-23 + 26 - (2 - -3)). -3 What is the value of 4 + -1 + 7 + -3? 7 What is 1 - (4 - ((-2 - -13) + -3))? 5 Evaluate (0 - -1) + (9 - 8) + -4. -2 What is -2 + (-10 + 6 - -5)? -1 What is -12 + (-3 - 3 - -13)? -5 Evaluate -1 + 12 + -5 + -9. -3 What is the value of (-2 - -1) + 78 + -70? 7 (-5 - -5) + (-2 - (1 + 0)) -3 Evaluate 0 - ((-5 - -9) + (-3 - 1)). 0 -3 + 4 - (10 + -15) 6 Calculate -2 + (-3 - (-2 - -3)) + 8. 2 -1 + (4 - (-10 + (-8 - -12))) 9 Calculate -4 + 12 + -8 + -9 + 5. -4 What is the value of 2 + (10 + -5 - 5)? 2 What is -11 - -2 - -10 - -1? 2 Calculate 0 + -5 + -3 + 6. -2 What is 3 - (-1 + -2) - 10 - -10? 6 Calculate (2 - (-1 + -2)) + (-16 - -5). -6 -3 + 2 + 0 + -3 -4 Evaluate 3 + -7 + 19 + -8. 7 What is the value of (-6 - -2) + (-4 - -2 - -4)? -2 What is 16 + -7 + -1 + -5? 3 Calculate 0 - (2 + 2 - 0 - 0). -4 Calculate 17 - 21 - (0 + 1). -5 Calculate (8 - -2) + 1 - (15 + -10). 6 -3 + 1 + 4 - 6 - -8 4 What is -2 - (-5 + -8 - -7)? 4 Evaluate 1 + (2 - 1) + (63 - 66). -1 What is the value of (2 + 1 - 6) + 3 + -1? -1 Evaluate -5 + (8 - 3) + 4. 4 Calculate (-2 - (-2 + 0)) + (39 - 37). 2 What is the value of 10 - (11 + -5 + 13)? -9 What is -1 + -9 - 0 - (0 + -5)? -5 Evaluate 9 - (7 + 9) - -7. 0 What is the value of 4 + -1 - 1 - (3 - 1)? 0 (14 - 11) + (2 - 6) -1 Evaluate 3 - (-2 + -10 + 7 + -3). 11 What is -6 + -3 + -3 + 9? -3 Evaluate 6 + (3 + 2 + -3 - 3). 5 Calculate (23 - 25) + (2 + -2 - 2). -4 What is (-5 - (2 + -16 + 6)) + -10? -7 What is (-2 - -2) + -2 + (-4 - -12)? 6 What is the value of (39 - 37) + -6 + (4 - 2)? -2 Evaluate -4 + (-3 + 1 + -2 - -5). -3 What is -10 - (8 - (4 + 14))? 0 -20 - (-27 - -15) - (-7 - 1) 0 8 + 0 - (-19 - -26) 1 What is -83 - -75 - (1 + -5)? -4 Evaluate -1 + (0 - -8) + -1. 6 What is the value of (-1 - (-2 - 1)) + (148 - 143)? 7 What is the value of 3 + 0 + 1 + -1? 3 What is 4 - 7 - (2 + -8 + -2)? 5 Calculate 1 - -11 - (30 + -18). 0 (2 + -6 - (0 + -1)) + 4 1 Evaluate 3 - (3 + 7 + -9). 2 What is the value of -1 + (13 - 9 - 6)? -3 What is the value of -2 + 14 - ((14 - -5) + -15)? 8 4 + (-1 - -1) + (2 - 1) 5 2 + -8 - 0 - (-4 - -4) -6 1 - 0 - (0 + 5 - 8) 4 Calculate 2 + -12 - (2 + 2 - 10). -4 What is 2 + 1 - (-17 + 25)? -5 What is the value of -10 - 0 - -4 - -3 - -1? -2 Evaluate (6 - 3 - 5) + -3 + 0. -5 What is the value of -6 - -5 - 0 - (4 + -1)? -4 Calculate 0 + (1 - (4 + 0)). -3 Evaluate 3 - 4 - (0 - 0). -1 Calculate -7 + 0 + 1 + 13 + 1. 8 Calculate 4 + (3 - (14 - -2 - 4)). -5 What is 5 - 5 - -3 - 5? -2 Calculate 0 - (2 + -3 + 4 + 0). -3 What is -5 + (1 - 6 - -9)? -1 Evaluate -1 + (0 - (4 - 12)). 7 What is -7 + (7 + 7 - 1)? 6 Evaluate 3 - 5 - 5 - -5. -2 What is -23 + 30 - ((-4 - 1) + 4)? 8 What is 6 + 1 + (-6 - -2)? 3 0 - -1 - (3 - 0) - -2 0 Calculate -6 + -2 + 5 - -8. 5 What is the value of (-1 - 1) + 16 + -10? 4 What is the value of 1 + (-11 - -5) - 2? -7 What is the value of -3 + 9 + 1 + -6? 1 What is the value of -4 + 4 + (6 - 1) + -4? 1 Calculate 3 - (2 + 2 + -5). 4 Calculate 0 - -2 - 1 - (-2 - -5). -2 What is 7 - 8 - (1 + -12)? 10 Evaluate (-1 - (0 + (2 - 0))) + 4. 1 4 + 3 - (-1 - (3 + -8)) 3 What is the value of 5 + 7 + (6 - (17 + -7))? 8 (-7 + 5 - (-3 - -1)) + -5 -5 7 - (1 + 1 + 0) 5 Evaluate (4 - (4 - (3 - 0))) + -1. 2 What is (2 - (2 + 3)) + 1? -2 What is the value of -2 - (3 + (0 - 0)) - -2? -3 What is the value of (6 - (0 + 1)) + 1 + -1? 5 Evaluate 2 - (-10 - (-2 - 1 - 2)). 7 2 - (-2 - (-3 - (2 + -3))) 2 What is the value of 0 - (5 - 2) - (-3 + 3)? -3 What is the value of 8 + -8 - (-2 + -3)? 5 4 - (1 + (-1 - (4 - 4))) 4 Evaluate 2 + (2 - 2) + -4 + 9. 7 What is the value of (-1 - 4 - 5) + 6? -4 What is the value of 0 + (1 + -1 + 2 - 4)? -2 What is -5 + -1 - 3 - -12? 3 Evaluate -1 + (-4 + 3 + -3 - -3). -2 What is -3 - ((4 - 7) + 11 - 10)? -1 What is -4 - -1 - (4 + (-2 - 0))? -5 Calculate -6 + 2 + 0 + (-9 - -13). 0 What is the value of -7 + (19 - (2 - -1)) + -7? 2 Evaluate (11 - ((-5 - -6) + 1)) + -7. 2 What is (-3 - -8) + -9 + (3 - -2)? 1 Evalua
{ "pile_set_name": "DM Mathematics" }
43/8. 40 Let x = -40841/38 + 1075. What is the common denominator of x and -107/10? 190 Let v = 1260535/97 + -12995. What is the common denominator of v and 17/10? 970 Let k(j) = j**3 + 7*j**2 - 7*j + 5. Let c be k(-8). Let m(z) = -3*z. Let t be m(c). What is the common denominator of -2 + 73/t + 0 and 1/7? 63 Let v = 103/17 + -507/238. Find the common denominator of v and 91/6. 42 Let q = -7 + 10. Suppose -q*u = -u - 12. Calculate the smallest common multiple of u and 1. 6 Suppose -4*s + 46 = -2. Let j be (-83186)/(-24) + 8/s. Let r = 3444 - j. Find the common denominator of r and -39/16. 16 Calculate the least common multiple of 24 and (-144)/63 + 2 - (-228)/14. 48 What is the common denominator of 53/12 and (-12)/(-16)*(-3 + 28)? 12 Let u(k) = 9857*k**2 - k + 1. Let z be u(1). Let j = z - 177481/18. Calculate the common denominator of j and -27/22. 198 Let p be 1 + -2 + 552/561. Let t = p - -9543/374. Find the common denominator of t and (1/9)/(2/112). 18 Suppose 9*n - 4*n + 20845 = 0. Let x = -54150/13 - n. Let a = 891/52 + x. Find the common denominator of 65/3 and a. 12 Let p = 111377/12 + -9274. Calculate the common denominator of 29/24 and p. 24 Let h = -1 + 0. Let i(y) = -18*y**3 - y**2 - y - 1. What is the common denominator of i(h) and -36/11? 11 Let a be (5870/180)/(50/(-34)). Let o = a + 628/25. Calculate the common denominator of o and -125/18. 18 Let d = 2365/6 + -26225/66. What is the common denominator of d and 94/(-3)*(-1)/6? 99 Let x be (-1)/((-2)/(-3 - -7)). Suppose 0*l = -x*l - 3*h + 16, -4*l + 2*h = -16. What is the common denominator of l and 49/2? 2 Let j(z) = 5*z**2 - 3*z + 1. Let d be j(-3). Suppose -6*l + l = -d. Let c(p) = p**3 - 7*p**2 + 6*p + 7. What is the smallest common multiple of c(6) and l? 77 Let o = -1615/2 + 780. Let d be -373*(4 + (-1 - 2)). Let b = 2227/6 + d. Find the common denominator of o and b. 6 Let l be ((-1230819)/(-34))/(3 - -69354). Let m = l + -198/379. Let g = m + -41998/1037. What is the common denominator of g and -29/4? 4 Let y be 4/8*(-4)/(-214). Let s = y + 4594/749. Let z = 5453/258 + -99/43. Find the common denominator of z and s. 42 Let h = -164015/11058 + -2/1843. Let l = -701/60 - h. Find the common denominator of 73/10 and l. 20 Let w = -3 + 4. Suppose 3 = j + w. Let i(z) = z**3 - 6*z**2 + 5*z + 3. What is the smallest common multiple of j and i(5)? 6 Let z = -205/4 - -53. Let a be (348 + (0 - 2))/4. Let s = -84 + a. Find the common denominator of s and z. 4 Suppose 0 = -i - i, 0 = -3*h - 4*i + 60. What is the least common multiple of h and 66/4 + 2/(-4)? 80 Let i be (-108)/24 + (-2)/(-4). Calculate the smallest common multiple of (2/(-2) + 7)*2 and 2/(30/(-8) - i). 24 Let l(f) be the third derivative of -f**6/120 - 7*f**5/60 - f**4/24 + f**3/3 + 2*f**2. Calculate the least common multiple of l(-7) and 1. 9 Let t = 26 + -16. Calculate the lowest common multiple of t and 2. 10 Suppose -2*t + 6198 = 4*z - 5*z, -2*t - 30990 = 5*z. Let w = z - -37289/6. Calculate the common denominator of w and -49/2. 6 Let j = -17 + 8. Let l(u) = u**2 + 7*u - 8. Suppose -2*g + 1 + 3 = 0. What is the lowest common multiple of l(j) and g? 10 What is the common denominator of (-14)/50*(-195)/(-6) and (-6)/4*(-17)/(-3)? 10 Let a be (6/(-5))/((-6)/20). Let f(m) be the first derivative of m**2 + 2*m + 3. Calculate the smallest common multiple of f(a) and 7. 70 Let v = -82015/126 - -4514/7. Let o = -1441/8 + 643/4. Let f = o + -73/8. What is the common denominator of v and f? 18 Suppose r = -0*r - 4*w + 9, r + w - 9 = 0. Let j be 3891/r - 2/6. Calculate the common denominator of 4/18 + (-1203)/j and -101/12. 48 Let n = 9369/11 - 850. Let a = 19161/724 + -551486/15023. Let c = a - 1/166. What is the common denominator of c and n? 44 Let s = 14359/12 - 1188. What is the common denominator of -61/6 and s? 12 Find the common denominator of 63/10 and (-406)/(-7)*(-2)/(-184). 230 Suppose -2*t = -3*t - 4. Calculate the least common multiple of 11 and (t + (-6)/2)*-1. 77 Suppose -5*t - r = -55, -t - 5*r = 3*t - 23. What is the common denominator of (-3)/t - 27/(-20) and -9/5? 10 Let j(l) = -l**2 + 9*l + 10. Let s = 29 + -20. Suppose -40 = -3*g + y - 0*y, -24 = -3*g - 3*y. Calculate the least common multiple of j(s) and g. 60 Let w(f) = f**2 + 11*f - 22. What is the smallest common multiple of w(-15) and 5? 190 Let d = 1355/4 + -15029/44. What is the common denominator of -16/59 and d? 649 Let k(m) = -m + 13. Let i be (0/((-2)/(-2)))/(-2). Suppose -l = -i*l - 16. Calculate the least common multiple of l and k(7). 48 Let z = 6 - 3. Suppose 4*j = -5*h + 34, 3*h + 1 + 5 = 0. Calculate the least common multiple of j and z. 33 Let y(q) = q**2 + 15*q + 41. Let f = 12 + -7. Calculate the lowest common multiple of y(-12) and f. 5 Let x = -167 - -473/3. What is the common denominator of 1*((-66)/8)/(-3) and x? 12 Let g = 115 + -111. Suppose -5*h = 2*v + 23, 2*v = 7*v - h - 10. Calculate the smallest common multiple of g and v. 4 Suppose f = -2*f. Let k = -4 + 8. Suppose -k = -2*o - f. Calculate the least common multiple of o and 20. 20 Let d(h) = -h**2 - 7*h + 6. Let f be d(-7). Let s = f + 6. What is the least common multiple of 0 + 0 + 16*1 and s? 48 Let n = 443/60 - 2/15. Let j be (-20)/6*141/(-2). Let z = j + -3759/16. What is the common denominator of n and z? 16 Suppose -4*j + j - 120 = 0. Find the common denominator of -69/4 and (-4)/10 + (-231)/j. 8 Suppose i - 56 + 55 = 0. What is the least common multiple of i and 45? 45 Let i be -2 - (-1)/((-3)/(-1439715)). Let l = i + -4786561/10. Let x = l + -1254. What is the common denominator of 63/20 and x? 20 Let g be 1/((-8)/(-426))*28. Let t = 4430/3 - g. Calculate the common denominator of t and 48/5. 15 Suppose 0 = 4*z - 5*z + 70. Calculate the common denominator of 38 and 9/60*z/12. 8 Let i = 40 - 24. Suppose -102 + 42 = -3*p. Calculate the lowest common multiple of i and p. 80 What is the lowest common multiple of ((-408)/10)/(-3) - 38/(-95) and 16? 112 Let u(z) = -z**3 + 7*z**2 + 3. Let t be u(7). Suppose 5*n = 3*v - 24, t*n = -v + 2*n + 8. What is the lowest common multiple of 22 and v? 88 Suppose 2*n = 12 + 4. What is the lowest common multiple of n and 6? 24 Calculate the smallest common multiple of 8 and 2*(-41)/(-8) + 9/(-36). 40 Let r = 1063 - 221. Let x = r + -396. Let v = x - 867/2. Find the common denominator of v and -113/6. 6 Let d = 91121/20 - 4552. Find the common denominator of 74/8 + (-1)/(-3) and d. 60 Suppose 2*z = 8, -5*z = 2*v + 18 - 74. Let d(w) be the third derivative of w**4/12 - w**3 + 2*w**2. What is the smallest common multiple of d(4) and v? 18 Find the common denominator of (-43)/18 - 10/45 and 19/18. 18 Let k(f) = 2*f**3 + 3*f**2 + 2*f + 2. Let d be k(-2). What is the common denominator of -23/7 and -1 + (2 - (-159)/d)? 14 Suppose 5*p - i = 55 + 146, -3*p + 5*i + 125 = 0. What is the common denominator of 89/6 and p? 6 Let x(q) = q**2 + 9*q - 6. Suppose -2*w = -2*t + 24, 0 = -t - 2*w - 3*w - 12. Calculate the smallest common multiple of t and x(-11). 16 Let m = -4356727980378/12299 - -354234327. Let u = m + 13/251. Let z = u - 2759/98. Calculate the common denominator of 81/4 and z. 4 What is the common denominator of 19/82 and 5 + -4 + (-462)/108? 738 Let m be ((-10)/(-6))/((-2)/(-6)). Suppose -u - 1 = 3*n - 8*n, -5*n + m*u = 15. Calculate the least common multiple of 7 and n. 7 Suppose -687 = -3*m + 318. Let g = 1295/4 - m. What is the common denominator of g and 53/9? 36 Suppose -4*k + 3*n = -104, 3*k - n - 78 = -4*n. Calculate the common denominator of -119/6 and k. 6 Suppose 2*x - 2*m = 7*x + 58946, 3*x + m + 35367 = 0. Let k = 235647/20 + x. What is the common denominator of k and -101/22? 220 Let p = 15502 - 604532/39. Find the common denominator of p and 10/27. 351 Suppose 0*a - 3*y = -2*a - 8, -4*y = -16. Suppose a*i + 2*b - 19 = -3*b, 5*i - b = 61. Suppose -3*l = -12 + 6. What is the smallest common multiple of i and l? 12 Let d be (-1)/(3 + (-55)/18). Calculate the lowest common multiple of 114/d - (-4)/6 and 3. 21 Suppose 4*t = -3*k + 41, 10*k + 39 = t + 5*k. Suppose u - 40 = -u. Calculate the smallest common multiple of t and u. 140 Let g = 2 - -8. Calculate the least common multiple of (-2)/18 - (-532)/171 and g. 30 Let
{ "pile_set_name": "DM Mathematics" }
2 Let r(v) be the first derivative of 0*v**2 + 6 + 1/3*v**3 + 0*v. Let z(c) = 9*c**2 + 30*c - 30*c + 2*c**2. What is z(r(l))? 11*l**4 Let s(f) be the first derivative of 7*f**2/2 + 12. Let j(k) be the third derivative of 1/24*k**4 - k**2 + 0*k + 0 + 0*k**3. Calculate s(j(o)). 7*o Let q(c) = -2 - 6 - 6*c - 2*c + 8*c - 2*c. Let x(w) be the first derivative of -w**2 - 1. Give x(q(b)). 4*b + 16 Let k(g) be the second derivative of -g**4/2 - 7*g. Suppose 3*u + n - 23 = 0, 3*u - n = 3*n + 43. Let h(f) = -u*f + f + 5*f. Determine h(k(s)). 18*s**2 Let f(a) = 2*a**2 + 2*a + 2. Let u(w) = -4*w**2 - 3*w - 3. Let y(p) = 3*f(p) + 2*u(p). Let g(x) = 2*x**2 + 56*x. Calculate g(y(v)). 8*v**4 - 112*v**2 Let t(v) = 25*v**2 + 3. Let r(b) = -1489*b. Determine r(t(j)). -37225*j**2 - 4467 Let n(c) = -5*c. Let v(x) be the third derivative of -11*x**4/3 - 13*x**2 - 6. Calculate v(n(a)). 440*a Suppose -4*r - 3*r + 28 = 0. Suppose -r*s + s = -3. Let f(d) = -2*d**2 + 8*d. Let m(q) = q. Let v(b) = s*f(b) - 8*m(b). Let o(j) = 9*j. What is v(o(g))? -162*g**2 Let d(k) be the second derivative of -3*k**2 + 0 + 3/8*k**4 + 0*k**3 + 5*k. Let g(s) be the first derivative of d(s). Let c(a) = 3*a. Determine c(g(w)). 27*w Let h(k) = -520*k - 26. Let a(b) = -347*b - 16. Let y(g) = 8*a(g) - 5*h(g). Let q(m) = -2*m. What is y(q(u))? 352*u + 2 Let b(z) = 53*z + 4. Let u(r) = 56*r**2 - 48*r**2 - 6*r**2. Calculate u(b(i)). 5618*i**2 + 848*i + 32 Let o(n) = 10*n + 6. Let u be (-1)/3 - (-2)/(-3). Suppose 3*p - 13 = 5. Let m(k) = k + 1. Let y(r) = p*m(r) + u*o(r). Let w(c) = 4*c. What is w(y(t))? -16*t Suppose 4*x + 6 = 7*x. Let c(l) = -195 + 195 + x*l. Let p(k) = 2*k**2. Calculate c(p(o)). 4*o**2 Let y(d) = 304*d**2. Let u(c) = -23*c**2. Calculate u(y(f)). -2125568*f**4 Let l(b) = -7*b + b - 4*b. Let v(d) be the third derivative of d**5/30 - 50*d**2. Calculate l(v(z)). -20*z**2 Let n(r) = -3*r. Let h = -90 - -90. Let u(s) be the first derivative of h*s - 3/2*s**2 + 7. Calculate n(u(t)). 9*t Let m(p) be the third derivative of -29*p**7/5040 - 2*p**5/15 + 31*p**2. Let x(l) be the third derivative of m(l). Let w(n) = -2*n**2. What is x(w(t))? 58*t**2 Let a = 828 - 440. Let t(f) = 5*f**2 - 388 + a. Let i(j) be the first derivative of -j**3 + 2. Determine i(t(g)). -75*g**4 Let i(n) be the third derivative of 0*n**4 - 7*n**2 + 0 + 1/20*n**5 + 0*n + 0*n**3. Let b(z) = 2 - 2 + 2*z. What is b(i(l))? 6*l**2 Let x(y) = -y. Let o(w) be the second derivative of 6*w**4 + 3*w. Calculate x(o(j)). -72*j**2 Let q(t) = 7*t**2 - 722*t + 1. Let r(c) = 28*c**2. Give q(r(k)). 5488*k**4 - 20216*k**2 + 1 Let c(l) = -l - 1. Let j(v) = 3*v**2 - 8 + v**2 - 1 - 8*v - v. Let y(r) = 18*c(r) - 2*j(r). Let a(f) = -3*f**2. Give a(y(x)). -192*x**4 Let y(v) be the third derivative of 0*v + 0*v**3 - 11*v**2 + 0 + 1/8*v**4. Let g(d) = d. Determine g(y(k)). 3*k Let f(d) be the third derivative of -1/12*d**4 + 0*d**3 - 12*d**2 + 0 + 0*d. Let p(l) = -9*l**2. What is p(f(v))? -36*v**2 Let q(l) = -30*l. Let k(o) = 18*o**2 + 10*o + 5. Let a(w) = 50*w**2 + 28*w + 14. Let m(n) = -5*a(n) + 14*k(n). Determine m(q(j)). 1800*j**2 Let n(g) = 3*g**2. Let y(c) = 284186*c. Calculate n(y(u)). 242285047788*u**2 Let t(o) be the second derivative of 25*o**4/2 + o**3/6 - 347*o. Let y(i) = 3*i**2. Determine y(t(h)). 67500*h**4 + 900*h**3 + 3*h**2 Let o(t) = -t + 6. Let m(d) = -d + 5. Let n(b) = -6*m(b) + 5*o(b). Let v(k) be the third derivative of -5*k**4/24 + 5*k**2 + 6*k. Give n(v(a)). -5*a Let g(k) = 3*k**2. Let x be 5864/12 - -2 - (-3)/9. Let t(m) = -x - 15*m**2 + 491. Calculate g(t(q)). 675*q**4 Let u(w) = -32*w. Suppose 2*i - c - 5 = 0, 5*i = 4*c + 8 + 3. Let o(t) = -4 + 4 - 4*t + i*t. Give u(o(a)). 32*a Let r(i) = 184*i**2 + 57*i. Let f(z) = 174*z. Give r(f(n)). 5570784*n**2 + 9918*n Let s(v) = -4*v - 13. Let n be s(-4). Let c(y) be the third derivative of 7*y**2 + 0 + 0*y**n + 0*y + 0*y**4 + 3/20*y**5. Let o(m) = -2*m. Calculate o(c(p)). -18*p**2 Let m(y) = -4*y**2 + 4*y. Let k(z) = -2*z - 31. What is m(k(w))? -16*w**2 - 504*w - 3968 Let n(y) be the first derivative of -2*y**2 - 3. Let k(d) = 135*d**2 - 3*d - 2. Let j be k(-1). Let p(h) = h**2 + 136 - j. Calculate p(n(s)). 16*s**2 Let y(r) = 0*r**2 - r**2 + 0*r**2. Let n(p) = 2*p + 3. Suppose -5*w = 3*h, 0 = w - 2*w - h + 2. Let c(x) = -x - 2. Let m(z) = w*c(z) - 2*n(z). Give y(m(t)). -t**2 Let l(q) = 154*q. Let w(s) = s - 3. Give w(l(u)). 154*u - 3 Let w(v) be the third derivative of -v**4/4 + 5*v**2. Let u(o) = -o**2 - 6*o - 6. Let m(i) = i**2 + 5*i + 5. Let d(s) = 6*m(s) + 5*u(s). Determine w(d(k)). -6*k**2 Let y(s) = -s**2 + 551*s. Let x(d) = -26*d. What is y(x(l))? -676*l**2 - 14326*l Let d(g) = -3*g**2. Let i(s) = -5*s - 30 - 2*s - 2*s + 29 - 2*s. Determine i(d(r)). 33*r**2 - 1 Let t(b) = 2*b + 2. Let z(y) = 196*y - 10. Let o(q) = -5*t(q) - z(q). Let m(n) = 5*n**2. Give o(m(d)). -1030*d**2 Let m(d) = 1377*d - 1. Let u(h) = -29*h**2. Calculate u(m(r)). -54987741*r**2 + 79866*r - 29 Let k(l) = -29*l. Let d(f) be the second derivative of -1/6*f**4 + 0*f**2 + 0*f**3 - 2*f - 32. Give k(d(w)). 58*w**2 Let i(w) = -36*w. Let d(x) = 6291*x**2. What is i(d(u))? -226476*u**2 Let i(l) be the third derivative of -l**5/30 + 2*l**2. Let d(w) = -w**2 - 7*w - 4. Let j be d(-6). Let b(r) = -3*r - j - 4 + 6. What is b(i(h))? 6*h**2 Let j(s) be the third derivative of -11*s**4/24 + s**2. Let x = 9 + -6. Let r(q) = x*q**2 - q**2 - q**2. What is r(j(h))? 121*h**2 Let j(c) = 2*c - 228. Let y(w) = -4*w**2 - 19. Determine j(y(n)). -8*n**2 - 266 Let i(y) = 15*y - 6. Let j(n) = -4*n**2 - 10*n - 5. Let p(u) = u**2 + 4*u + 2. Let s(z) = 4*j(z) + 10*p(z). Calculate s(i(k)). -1350*k**2 + 1080*k - 216 Let p(k) = k**2 - 6*k - 5. Let i be p(7). Let q(o) = 5*o**2 - 4*o**2 - o**2 - i*o**2. Let m(s) = -s - 4 + 4 - s. Determine m(q(n)). 4*n**2 Let a(w) = 4*w**2 + 11*w. Let h(t) = -12643*t. Calculate h(a(j)). -50572*j**2 - 139073*j Let q(h) be the second derivative of -h**4/4 - h - 6. Let b(g) = -4*g**2 - 13*g. Give b(q(f)). -36*f**4 + 39*f**2 Let u(r) = 3 - 3 + 3 - 3 - 96*r. Let y(g) = -g. Determine u(y(p)). 96*p Let z(k) be the first derivative of 2*k**3/3 + 383. Let h(p) = 2*p**2 - 4. Let g(b) = -b**2 + 5. Let q(c) = 4*g(c) + 5*h(c). Calculate z(q(o)). 72*o**4 Let f(q) = q - 111479. Let m(u) = -u**2. Calculate m(f(p)). -p**2 + 222958*p - 12427567441 Let t(z) = z. Let l = 75 + -53. Let w(y) = -y. Let s(q) = -11*q. Let g(f) = l*w(f) - s(f). Give g(t(a)). -11*a Let l(f) = 4*f - 375 + 103 + 272. Let n(g) = 3*g**2 + 7*g. Let a(i) = 2*i**2 + 4*i. Let k(v) = -7*a(v) + 4*n(v). What is k(l(w))? -32*w**2 Let j(r) = 55*r**2 - 33*r + 33. Let f(n) = n**2 + 0 - 3*n + 0*n**2 + 2*n + 1. Let w(x) = 33*f(x) - j(x). Let t(c) = -7*c**2 + 9*c**2 - c**2. What is t(w(y))? 484*y**4 Let l(p) = -8*p**2 + 12. Let v(a) = -7*a**2 + 10. Let w(j) = 5*l(j) - 6*v(j). Let y(c) be the first derivative of -10*c**3/3 - c + 2. Calculate y(w(u)). -40*u**4 - 1 Let v(z) = 10178 + z - 10178. Suppose 6 = 2*y + 2. Let p(f) = 3*f**2 - 7*f**2 + 0*f**y. Calculate v(p(s)). -4*s**2 Let r(i) = 2*i - 3. Let m be r(3). Suppose 3*j - 3 - m = 0. Let l(g) = -29*g**j + 12*g**2 + 26*g**2. Let x(q) = -q. Give l(x(k)). 9*k**2 Let t(u) = -1. Suppose -5*w = -10*w. Let y(k) = 0 + w - k + 1 + 5. Let i(c) = -6*t(c) - y(c). Let n(f) = -4*f**2. Calculate n(i(s)). -4*s**2 Let r(l) be the second derivative of l**4/12 - 9*l. Let a(n) be the first derivative of 5*n**3/3 + 7. Calculate r(a(f)). 25*f**4 Let c(z) = 4282*z**2. Let k(h) = -h**2 - 36. Calculate k(c(y)). -18335524*y**4 - 36 Let d be (-886)/(-13) - 36/234. Let n(g) = d*g**2 - 61*g**2 - 4*g + 4*g. Let t(p) = -2*p**2. Determine t(n(w)). -98*w**4 Let h(l) = -32*l. Let g(v) = 2137*v. Determine g(h(f)). -68384*f Let m(f) be the second derivative of -4*f**3/3 + f. Let d(r) = -3*r + 14. Let s(v) = -5*v + 24. Let p(l) = 12*d(l) - 7*s(l). What is p(m(y))? 8*y Let w(m) = 6361*m**2. Let a(h) = -12*h**2. Determine w(a(i)). 915984*i**4 Let m(p) = 509513*p**2. Let y(l) = -3*l**2. Give y(m(j)). -778810491507*j**4 Let x(t) = 4*t. Let w(q) = -36*q + 13 + 3 - 16. Give x(w(p)). -144*p Let k(p) be the third derivative of p**4/12 - 33*p**2. Let w(m) = 39*m**2. What is w(k(t))? 156*t**2 Let i(y) = 18*y + 42*y - 15*y - 11*y. Let u(w) = 14*w. Deter
{ "pile_set_name": "DM Mathematics" }
212 4708 (base 10) to base 11 35a0 -312013 (base 6) to base 5 -1300230 999 (base 10) to base 16 3e7 What is -10111021 (base 3) in base 9? -3437 What is -2c1 (base 13) in base 2? -111101111 What is 122 (base 5) in base 3? 1101 2b66 (base 12) to base 3 21000120 Convert -2120111 (base 4) to base 9. -14332 -1608a (base 12) to base 9 -46727 What is -1101100011 (base 2) in base 3? -1012010 1999 (base 13) to base 14 1588 What is -1011001111000 (base 2) in base 11? -435a What is 1175 (base 9) in base 7? 2363 -6171 (base 8) to base 7 -12211 What is -412522 (base 6) in base 5? -2024101 Convert 120 (base 15) to base 11. 212 260 (base 13) to base 10 416 Convert 11c62 (base 14) to base 2. 1010101001001110 -1165 (base 8) to base 5 -10004 What is 350 (base 7) in base 11? 156 303301 (base 4) to base 16 cf1 -826 (base 12) to base 3 -1121210 Convert 2444 (base 10) to base 8. 4614 -1cd0 (base 14) to base 4 -1102132 Convert 24 (base 15) to base 2. 100010 Convert 115225 (base 6) to base 12. 5b15 949 (base 11) to base 3 1120022 What is -200121 (base 3) in base 2? -111110110 What is -2947 (base 10) in base 2? -101110000011 -1010011001101111 (base 2) to base 7 -235135 -4890 (base 10) to base 8 -11432 What is 362 (base 9) in base 10? 299 553133 (base 6) to base 14 12b05 Convert 25145 (base 9) to base 6. 210105 -10210021 (base 3) to base 7 -11023 What is -2e2 (base 15) in base 2? -1010010110 Convert -2303020 (base 4) to base 13. -52ab What is -1d9b (base 14) in base 6? -41045 Convert 22300 (base 6) to base 15. ddc Convert 7413 (base 11) to base 6. 113235 a59 (base 14) to base 7 5642 -201101 (base 3) to base 16 -20b 9519 (base 13) to base 5 1130030 Convert -11200 (base 3) to base 8. -176 What is b83a (base 14) in base 12? 164a4 Convert -420 (base 9) to base 14. -1a6 What is 63440 (base 8) in base 14? 989a -129b (base 13) to base 6 -20155 What is -854 (base 11) in base 15? -487 Convert 163114 (base 7) to base 8. 77056 What is -111111110010 (base 2) in base 9? -5535 -92 (base 13) to base 12 -9b Convert 2631 (base 16) to base 3. 111102010 What is -54525 (base 6) in base 5? -220131 -4e37 (base 15) to base 12 -97ba Convert 4a72 (base 11) to base 10. 6613 Convert -11000010000 (base 2) to base 10. -1552 What is 1001000002 (base 3) in base 9? 31002 42a2 (base 12) to base 2 1110010011010 -102134 (base 6) to base 16 -204a -2a8 (base 14) to base 15 -260 What is -313413 (base 5) in base 6? -120311 What is 25400 (base 7) in base 4? 1220321 10302 (base 6) to base 2 10101111110 -38147 (base 9) to base 5 -1310024 Convert 10424 (base 5) to base 10. 739 Convert 40273 (base 8) to base 7. 66212 -101012 (base 3) to base 2 -100010011 What is -1377 (base 12) in base 5? -33001 What is -1521 (base 11) in base 5? -30314 Convert -930 (base 14) to base 15. -806 1103240 (base 5) to base 16 4afb Convert -11030001 (base 4) to base 3. -1002011000 Convert -3c9 (base 13) to base 15. -2ec What is 430320 (base 5) in base 11? a956 Convert 12244 (base 6) to base 14. 948 What is 39a (base 15) in base 12? 584 -2556 (base 7) to base 3 -1100000 -1473 (base 12) to base 3 -10021120 Convert -82 (base 13) to base 2. -1101010 Convert -25303 (base 9) to base 4. -10021311 1cc (base 13) to base 15 177 Convert -9ab (base 12) to base 11. -1088 9a5 (base 12) to base 3 1221122 Convert -32033 (base 4) to base 8. -1617 What is 91 (base 16) in base 9? 171 What is 1131431 (base 5) in base 4? 11012002 What is 25561 (base 7) in base 16? 1a95 -1266 (base 9) to base 10 -951 -2726 (base 12) to base 3 -20011110 -160 (base 11) to base 9 -227 -2c0b (base 15) to base 6 -111445 Convert -367 (base 11) to base 6. -2004 What is -122421 (base 5) in base 13? -2204 What is 12a (base 13) in base 6? 541 102003 (base 4) to base 2 10010000011 What is -579 (base 10) in base 15? -289 -3117 (base 13) to base 16 -1a7c Convert 351 (base 9) to base 16. 121 Convert 563 (base 11) to base 7. 1652 What is 146 (base 9) in base 4? 1323 288a (base 14) to base 10 7178 What is -101012 (base 3) in base 15? -135 Convert -231301 (base 5) to base 8. -20206 221234 (base 5) to base 3 101112222 What is 103a (base 12) in base 16? 6ee Convert c484 (base 15) to base 5. 2312044 Convert -65343 (base 7) to base 16. -3fab What is 1421031 (base 5) in base 3? 1111111012 Convert 7d07 (base 16) to base 8. 76407 What is -10022211 (base 3) in base 16? -979 Convert -133300 (base 6) to base 3. -122001000 767 (base 8) to base 7 1316 Convert -2367 (base 13) to base 9. -6750 What is 102022220 (base 3) in base 2? 10000001000011 What is -15344 (base 7) in base 3? -12220002 Convert -1010110101 (base 2) to base 12. -499 Convert 3a19 (base 15) to base 14. 4739 -52d (base 15) to base 7 -3256 What is -1506 (base 8) in base 15? -3ad Convert 222 (base 10) to base 7. 435 -1933 (base 10) to base 13 -b59 -21000 (base 3) to base 11 -162 What is 122001 (base 3) in base 9? 561 -12270 (base 8) to base 13 -2550 What is 2212 (base 7) in base 3? 1002101 Convert -9289 (base 10) to base 13. -42c7 597 (base 13) to base 4 33021 Convert -5673 (base 8) to base 11. -2290 -3402 (base 5) to base 10 -477 What is -3ed7 (base 15) in base 16? -34a5 1989 (base 12) to base 3 11021220 What is -4dc (base 14) in base 4? -33102 31324 (base 6) to base 14 1780 What is 51491 (base 10) in base 8? 144443 Convert 50 (base 7) to base 6. 55 Convert 2672 (base 10) to base 9. 3588 2a40 (base 14) to base 10 7504 295 (base 12) to base 4 12101 What is 3994 (base 12) in base 2? 1100111000000 125a7 (base 13) to base 7 200641 What is 1001002 (base 5) in base 16? 3d88 What is 387 (base 9) in base 7? 640 What is -1444 (base 6) in base 13? -23b 27175 (base 8) to base 12 6a79 Convert -3581 (base 15) to base 10. -11371 What is -689 (base 15) in base 5? -21404 What is -42340 (base 6) in base 15? -1a83 Convert -37f (base 16) to base 13. -53b What is 1322 (base 5) in base 7? 422 4824 (base 15) to base 14 5834 -101101111100 (base 2) to base 11 -2233 Convert -3311 (base 7) to base 2. -10010100000 Convert 351025 (base 6) to base 4. 13111121 Convert 44156 (base 7) to base 4. 2230322 Convert -293 (base 16) to base 2. -1010010011 What is -54370 (base 9) in base 4? -20302323 What is 1176 (base 9) in base 8? 1557 -310 (base 10) to base 6 -1234 What is 1269 (base 11) in base 9? 2231 What is 60624 (base 10) in base 11? 41603 Convert 2106 (base 7) to base 6. 3233 What is 2e79 (base 15) in base 11? 7584 Convert -1110110010 (base 2) to base 10. -946 -13546 (base 11) to base 16 -4b59 What is -12525 (base 7) in base 2? -110100010111 What is -32233 (base 6) in base 10? -4413 Convert 3970 (base 12) to base 8. 14644 What is 110000101010101 (base 2) in base 10? 24917 Convert -5996 (base 11) to base 9. -11681 Convert 2010122 (base 3) to base 2. 11000010100 -168a (base 13) to base 16 -cfd 1100011001 (base 2) to base 6 3401 What is -27677 (base 9) in base 7? -105520 What is -2d4b (base 15) in base 14? -37a2 What is 6a22 (base 11) in base 13? 4273 Convert -131 (base 7) to base 12. -5b What is -c991 (base 14) in base 13? -12b05 Convert -330310 (base 4) to base 16. -f34 What is -836 (base 16) in base 4? -200312 What is -140223 (base 5) in base 11? -4301 Convert 120031 (base 4) to base 6. 11101 What is 169 (base 10) in base 11? 144 What is -500 (base 6) in base 10? -180 377 (base 9) to base 5 2223 -73e (base 15) to base 7 -4523 -1211113 (base 5) to base 9 -34065 -3770 (base 9) to base 7 -11133 -cc14 (base 13) to base 12 -14535 Convert 86 (base 14) to base 12. 9a Convert 1015 (base 6) to base 8. 343 What is 21204 (base 5) in base 12? 9b1 Convert -8920 (base 13) to base 10. -19123 What is 36307 (base 8) in base 9? 23307 Convert -3252 (base 10) to base 7. -12324 -252304 (base 7) to base 10 -46456 What is -11011000101 (base 2) in base 11? -1336 Convert 13079 (base 13) to base 4. 20212310 -1333321 (base 5) to base 10 -27336 What is -8d0 (base 14) in base 10? -1750 -10312 (base 5) to base 4 -23003 Convert -2883 (base 12) to base 10. -4707 What is 3123303 (base 4) in base 3? 201022000 Convert -24043 (base 10) to base 13. -ac36 What is -2472 (base 8) in base 3? -1211120 41157 (base 8) to base 2 100001001101111 What is -521 (base 12) in base 11? -618 What is 1013 (base 7) in base 14? 1b3 Convert 4359 (base 12) to base 9. 11146 What is -323221 (base 7) in base 4? -31300231 101
{ "pile_set_name": "DM Mathematics" }
vide m(170)? True Suppose -3*d + 10 = 2*d. Suppose d*x = v - 6 + 20, 4*x - 18 = v. Does 3 divide (-122)/(-2) - (v - -11)? True Suppose 36 = 9*u - 18*u. Let r be 136 - (u - (0 + (-2 - -1))). Let n = -47 + r. Is 13 a factor of n? False Let r be 3*(6 + (-114)/18)*6. Does 3 divide ((1 - 3)/6)/(r/1062)? False Suppose -91872 = 535*w - 547*w. Does 69 divide w? False Let p(t) = 52*t**3 - t**2 - t + 2. Let i be p(-2). Let u = i + 584. Does 14 divide u? True Suppose 18303 = 2*u + w, 2*u + 5*w + 0*w = 18299. Is u a multiple of 11? True Suppose 2*c - f - 13147 = 0, 5*c - 4*f - 32875 = -0*f. Is c a multiple of 44? False Suppose 11 = -6*q - 7. Let x be 4 + (q/5 - 17/5). Suppose x = 2*k + 2*v - 94, -k + 59 = 6*v - 8*v. Is 13 a factor of k? False Is 179172/68 + 3 + (-294)/102 a multiple of 5? True Suppose 3*q = -5*r + 9173, 0 = r + 5*q + 611 - 2428. Is 5 a factor of r? False Let n(y) = -y**3 + 4*y**2 + 7*y + 3. Let d be n(5). Let x = d + 56. Suppose -h = 2*l - x, h = -0*h - 3*l + 66. Does 15 divide h? True Let a(g) = -10*g**3 + 14*g**2 + 69*g - 10. Is 32 a factor of a(-7)? False Let j(s) = 4*s - 44. Let a be j(14). Let z(w) = 81*w + 21. Let x be z(a). Suppose -57 = 9*p - x. Is p a multiple of 8? True Suppose 3*r - d - 278 = 0, -5*r = -4*r - 4*d - 100. Suppose v = -h + r, -6*v + v = -5*h + 490. Is 12 a factor of h? False Let o = -5703 + 7520. Does 23 divide o? True Suppose 0 = 4*m, -4*v - 6*m + 1636 = -m. Let s = 662 - v. Is s a multiple of 25? False Suppose 19*n + 142 = 20*n. Suppose -2*d = -4*l + n, 4*l - 26 - 137 = -5*d. Is l a multiple of 10? False Suppose -5*a + 16 = -4. Suppose -j - j - w = -12, -4*w = -3*j - a. Suppose -150 = -5*c - j*g, 4*g = -c + 34 - 4. Is c a multiple of 20? False Let r = 32 - 24. Let u be (-2)/r + (-232)/(-32). Suppose 450 = u*d - 2*d. Is 11 a factor of d? False Suppose -g = s + 4*s - 44, 4*g - 2*s = 132. Suppose h - g = 24. Is 20 a factor of h? False Let m(f) be the second derivative of 19/6*f**3 - 15/2*f**2 + 19*f + 0. Does 44 divide m(17)? True Suppose 37 - 73 = -6*z. Suppose 3*w - z*w = -3*v + 1869, 4*v = 2*w + 2482. Does 76 divide v? False Let m be ((-20)/(-12) - 4)*-3 + -4. Suppose 0*p - 726 = -m*p. Does 41 divide p? False Let y = 41936 - 17539. Does 20 divide y? False Suppose -k + 112 = -60. Let b = -25 + k. Is 20 a factor of b? False Suppose -19*m = 17*m - 144. Does 59 divide (11/m - 2) + (-3210)/(-8)? False Let f = -190 - -253. Suppose -f = 6*z - 393. Is z a multiple of 11? True Let l = 15258 - 10521. Is l a multiple of 14? False Is ((-118)/8)/((-11325)/596 - -19) a multiple of 59? True Let s(z) = z**2 + 11*z + 8. Let o = 22 + -17. Let i = -8 - o. Is s(i) a multiple of 7? False Suppose 0 = -36*w + 42471 - 4851. Is 6 a factor of w? False Let v(u) = 11*u**2 + u - 47. Let p(x) = -x - 1. Let c(r) = 4*p(r) + v(r). Let o be c(-8). Suppose -2*n = -5*h + 1156, 5*n - o - 493 = -5*h. Does 34 divide h? False Suppose 200*f - 1078893 = 42*f + 114481. Is f a multiple of 56? False Let k = -10 - 10. Let b(i) = -19*i + 10. Let m(c) = 22*c - 10. Let g(t) = 7*b(t) + 6*m(t). Is 17 a factor of g(k)? False Suppose -790*n - 26264 = -2*f - 794*n, -f = -4*n - 13096. Is 40 a factor of f? True Let v be 7*39/91 - 1*-1. Suppose -5*q + x + v*x = -1510, q = -4*x + 292. Is q a multiple of 50? True Let f = 45 + 19. Let d = f - 64. Does 6 divide d + (-144)/(-4 - 0) + 0? True Suppose -8*a + 186 = -318. Let l be (-2)/(-4)*3*2. Suppose -a = l*j - 180. Does 27 divide j? False Let o = -38084 + 57142. Suppose 5*k - o = -21*k. Is k a multiple of 12? False Let o(t) = t**2 + 21*t + 38. Let d be o(-19). Suppose 2*n + 4*h - 17 = n, 2*n - h - 7 = d. Suppose -333 = -n*y - 5*b + 632, b = 5*y - 995. Does 18 divide y? True Suppose 37*f = -12*f + 964271. Is 167 a factor of f? False Suppose -4*j + 3*r - 142 = -0*r, 2 = r. Let x be 21/(-9)*(-6)/(-4)*j. Let z = x + -78. Is z a multiple of 14? False Let g be (1 - -13)*5/10. Suppose 4*s - a - 14 = 0, 4*s + a = 11 + g. Suppose -s*b - 5*c = -6*b + 22, b - 2*c - 10 = 0. Is b a multiple of 6? True Suppose -5*l = -5*c + 11825, -l - 7089 = 75*c - 78*c. Does 47 divide c? False Let a = -29953 + 34210. Does 129 divide a? True Let s(x) be the second derivative of 4*x**3/3 - 40*x**2 + 51*x. Is 8 a factor of s(27)? True Let z = -208 + 192. Does 6 divide (144/z)/((-1)/((-62)/(-3)))? True Suppose -1 = 8*w - 73. Suppose z - 7220 = -w*z. Is z a multiple of 38? True Suppose -5*r = 3*i + 2425, -2*i + 2450 = -8*r + 3*r. Is 61 a factor of 32 - 31 - (1 + r)? True Let j be (-60)/42 + 1 - 76/(-14). Suppose 3*y - 5*h - 3130 = 0, j*y - 5*h - 824 = 4406. Is y a multiple of 35? True Let c = -28510 - -48532. Is c a multiple of 94? True Let w = -77434 - -119580. Is w a multiple of 37? False Let x = 484 - -824. Does 109 divide x? True Suppose -7*g + 8*g - 146 = 0. Suppose 0 = 64*q - 65*q + g. Suppose -21 = 5*a - q. Is 5 a factor of a? True Suppose -156*n = -167*n + 16038. Does 8 divide n? False Let o = 89 + -89. Let v(j) = -j**3 - 4*j + 228. Let t be v(o). Let g = -77 + t. Is 58 a factor of g? False Let q be (1 - (-393)/(-4)) + 18/(-24). Let p = -49 - q. Is 5 a factor of p? False Let c = -15 + 19. Let w(d) = 5*d + 8*d**2 + 5*d**2 + 7 - c. Is 35 a factor of w(-3)? True Let h be (-19)/57 - (-19)/3. Let j be (-9)/h*(-178)/3. Suppose -y - 4 = -j. Is y a multiple of 19? False Let c(u) be the second derivative of -u**5/20 + u**4/2 + 13*u**3/3 + 9*u**2/2 - 6*u + 3. Does 25 divide c(7)? False Suppose 4*r - 11477 = -5*u + 2692, -4*u = -3*r - 11298. Does 123 divide u? True Suppose -9*o + 11752 = 4*o. Suppose 6*i - o = 4*i. Is 40 a factor of i? False Let z be 0/(4/(-2)) + (-65)/(-1). Let a = 70 - z. Suppose -a*b + 3*g + 251 = 5*g, 4*b + g - 199 = 0. Is 8 a factor of b? False Suppose 123507 = 24*s - 20*s + a, 2*a - 154386 = -5*s. Is 62 a factor of s? True Let q(p) = -2 - 10 - 6*p**2 + 2*p**3 + 1 - 9*p - 3*p**3. Let t be q(-5). Let m(v) = v**2 + 3*v - 20. Is 9 a factor of m(t)? False Suppose 92 = 5*o + 4*y, -20*y - 25 = -o - 23*y. Suppose 0 = 3*h - 3*j - 552, 0 = -j - 3*j - o. Is h a multiple of 10? True Let o(w) = 376*w**3 + 2*w**2 + 8*w - 17. Let l be o(2). Suppose d - 512 = -5*v + 513, -3*d - 3*v + l = 0. Is d a multiple of 25? True Is 107 a factor of (-6527*(-10 + 11))/(-1)? True Let z = 59540 + -39375. Does 96 divide z? False Suppose -19*x + 17*x + 832 = 0. Let u = -124 + x. Does 46 divide u? False Let d = 20 - 13. Suppose -d*v + 10*v = 12. Is 13 a factor of 3 + (4 - v) + 96? False Suppose 68*y = 65*y + 20748. Does 11 divide y? False Let d(z) = -1316*z + 154. Does 10 divide d(-3)? False Suppose -29 = -3*t + 22. Suppose -t*f - 60 = -13*f. Does 5 divide (2 - 1)/(1/f*-3)? True Let f be (-1)/(-4) + (-2997)/(-444). Suppose -f*h - 3840 = -11*h. Does 20 divide h? True Let y(o) = 883*o - 11. Is 4 a factor of y(11)? False Suppose 2*y - 5*n - 5793 = 0, -4*n + 14374 = 5*y - 59. Does 27 divide y? True Suppose 525 = 17*g - 10627. Let f = g - -138. Is 8 a factor of f? False Let d be (-26)/10 - (54/(-15))/6. Is 29 a factor of (4/(-4 + 0))/(d/290)? True Let y = -619 - -1020. Does 7 divide 5 - (-5 + 0 - y - 2)? True Is 9 a factor of 14*227 + (61 - 59)? False Suppose 55 = -4*r + 2*t - 99, 4*t + 52 = -2*r. Let c be 1/4 + (-171)/r. Suppose 397 = 4*d - 0*x - x, c*d = x + 497. Is 20 a factor of d? True Let w be (-44)/(-374) + 268/34. Suppose 0 = -3*o + 4*l - 0 + 8, 4*l + w = o. Suppose -4*y = -4*z + 6*z - 90, o = 4*z + 4. Does 23 divide y? True Suppose 82480 = 36*s - 16*s. Does 77 divide s? False Let p(x) = -120*x**2 - 7*x + 6. Let o(r) = -239*r**2 - 15*r + 12. Let d(n) = 2*o(n) - 5*p(n). Is 29 a factor of d(1)? False Suppose 10 = -3*o + o, o = -5*i + 280. Let k(r) = r + 116. Let t be k(4). Suppose i + t = 3*n. Is n a multiple of 17? False Let l(t) = 143*t**2 + 1. Suppose -2*z + 3*c - c = 12, -28 = 4*z - 2*c. Let k be (8 + z)/(1 - 0) + -1. Is 19 a factor of l(k)? False Let d = 220 - 215. Suppose k + 124 = d*m, -k = 3*m - 2*k - 74. Is m a multiple of 25? True Let c(h) be the first derivative of 124*h**2 - 2*h - 198. Is 33 a factor of c(4)? True Let q be ((1 + -11)*15/(-25))/2. Suppose -5*r = q*j - 244, 3*j + 4*r + 0*r - 242 = 0. Suppose 3*m - 4*m + j = -3*s, -4*m = -2*s - 332. Does 12 divide m? True Let g(m) = -25*m + 7. Let n be g(6). Let i = n - -188. Does 9 divide i? True Let y =
{ "pile_set_name": "DM Mathematics" }
98 = -5*v + u. What is the highest common divisor of 22 and v? 11 Let u(s) = -s**3 + 3*s**2 + 20*s - 9. Let m be u(7). Let x = m + 85. What is the greatest common factor of x and 70? 10 Let k = 321 + -166. Let v(g) = -g**3 - 36*g**2 - 3*g - 46. Let a be v(-36). What is the highest common divisor of k and a? 31 Let y be (53 - 9 - 9) + 1*-2. What is the greatest common factor of 12 and y? 3 Let g be 3/(5/((-10)/3)). Let i = g - 1. Let f = 17 - i. What is the highest common divisor of 4 and f? 4 Suppose -2*p + 3 = -p - f, 3*p - 2*f - 10 = 0. Calculate the highest common factor of p and 8. 4 Suppose -l + 10 + 12 = -5*v, v = -5*l + 162. Suppose 3*c - 320 = -c. Calculate the highest common divisor of l and c. 16 Suppose 0 = u + 5*x - 41, -4*u + 5*x + 71 = -3*u. What is the highest common divisor of 98 and u? 14 Suppose 1216 = 25*f - 6*f. Calculate the greatest common factor of 40 and f. 8 Suppose -q = -3*q. Suppose q = -3*a + y + 43 + 19, 0 = y + 5. What is the greatest common divisor of 19 and a? 19 Let h = 431 + -416. What is the greatest common factor of h and 285? 15 Let p(f) = -2*f + 25. Let a be p(11). Suppose h = a*h - 18. Let n be ((-3)/7)/((-3)/21). What is the greatest common factor of n and h? 3 Let i(w) = w**2 + 4 - 1 - 5*w + 2*w. Suppose 0 = 5*y - 4*a - 26, a - 19 = -y - 2*y. Let s be i(y). What is the greatest common factor of 21 and s? 21 Suppose 0 = -5*g - 2*a + 77, 2*g + 5*a - 14 = -0*g. Suppose -g*z = -13*z - 12. What is the greatest common divisor of z and 3? 3 Let k(y) = 3*y**2 + 5*y + 12. Let u be k(6). Let n be 15/10*u/9. What is the greatest common divisor of 200 and n? 25 Let w be 1/2 - 164/(-8). Suppose -24*t + 120 = -w*t. Calculate the highest common divisor of t and 8. 8 Suppose 3*b = 3*i - 7 - 2, -12 = -b - 2*i. Let c be b/1*(-2 - -1). Let w be c*3*32/(-6). Calculate the highest common divisor of 48 and w. 16 Let q(a) = 2*a**2 + 22*a + 4. Let h be q(-11). Suppose 3*v - v = 0. Suppose 2*t - 8 = v, -h*t + 101 = m + 8. What is the highest common divisor of m and 11? 11 Suppose z = -5*h + 20, 3*h + 16 = z + 4*z. Suppose d - 11 - 2 = -2*r, h*r = -d + 17. What is the highest common factor of 40 and d? 5 Let y = 221 - 108. Suppose 3*s + y = -106. Let p = s - -460. Calculate the greatest common factor of p and 43. 43 Let j = -634 - -661. What is the greatest common factor of j and 21? 3 Let w = 7 + -9. Let r be (w/6)/((-5)/(-50))*-3. Calculate the greatest common factor of 130 and r. 10 Suppose -8*b + 123 = -13. Calculate the greatest common divisor of 17 and b. 17 Let l be (-4)/10 + (-52)/20. Let v be -1 + l/(9/(-69)). Let z(w) = -w**3 - 8*w**2 - 23*w - 57. Let q be z(-7). What is the highest common factor of v and q? 11 Let l(n) = 2*n + 18. Let k be l(-10). Let q be (-2)/1 - -36 - k. What is the greatest common divisor of q and 18? 18 Let s be 1*(18 - 0) + -2. Let c = -1 - -6. Suppose -c*d = 4*f - 103, -6*f + 2*f + 2*d = -138. What is the greatest common factor of s and f? 16 Suppose -4*v - 39 - 21 = 0. Let y = -13 - v. Let t be (-6 - 0)*y/(-4). What is the greatest common factor of t and 12? 3 Suppose -3*i + 8*i - y = 465, -4*i + 2*y = -366. What is the highest common divisor of 799 and i? 47 Let v(d) = 4*d**2 + 10*d - 344. Let u be v(12). Calculate the greatest common divisor of u and 32. 32 Suppose 5*j - 164 - 6 = 0. Let p(z) = 230*z + 8. Let l be p(1). What is the highest common factor of j and l? 34 Let z = -8 + 29. Suppose 0 = 13*c - 16*c + z. Let l be ((-42)/(-8))/c*60. Calculate the highest common divisor of l and 18. 9 Let q = -515 - -525. Calculate the highest common factor of q and 400. 10 Let j(h) = -h**3 + h**2 + h + 72. Let n be j(0). Let p = 22 + -1. Let q = n - p. Calculate the greatest common divisor of 17 and q. 17 Let p = 227 + -189. Calculate the highest common divisor of p and 209. 19 Suppose -54*r = -49*r - 205. Calculate the greatest common factor of 123 and r. 41 Suppose -53 = -5*o + 27. Suppose 3*v - 8*v = -135. Suppose 75 - v = 3*w. Calculate the greatest common factor of o and w. 16 Suppose -15*n = -14*n - 331. Let i = -171 + n. Suppose -3*k = 15 - 75. What is the greatest common factor of k and i? 20 Let u = -4 - -2. Let i(b) = b**2. Let x be i(u). Suppose -x*a + 3 + 45 = 0. Calculate the greatest common factor of a and 36. 12 Suppose 22*s - 3910 = 5*s. Calculate the greatest common divisor of s and 50. 10 Let g be (-27)/(-12)*(-64)/(-2). Suppose -3*c + g = -2*c. Suppose -3*y = -21*y + 144. What is the highest common factor of y and c? 8 Let k be 300/12*(-1)/(-5). Let m be 27/k + 39/65. What is the highest common divisor of 6 and m? 6 Let m be (9/6)/((-1)/20). Let q be m + (2 - (1 + -2)). Let a = q - -41. What is the greatest common factor of 42 and a? 14 Let r(s) = s**3 + 12*s**2 + 2*s + 15. Let f be r(-12). Let k(c) = -2*c - 7. Let p be k(f). What is the highest common factor of p and 99? 11 Let x = 4360 + -3048. Calculate the greatest common factor of x and 41. 41 Suppose 2*c = d + 54, 10*c - 5*c - d = 135. Let q be 186 + (2 - ((-24)/4)/6). Calculate the highest common factor of c and q. 27 Let d(s) = -s**3 + 7*s**2 + 47*s - 7. Let g be d(11). Calculate the greatest common divisor of g and 234. 26 Let m be 1/(6/4 + -1). Suppose 0 = m*i + i + 36. Let h = 33 - i. Calculate the highest common divisor of 30 and h. 15 Suppose -3*z + 17 = 5*s, 0 = 4*s + z - 19 + 4. Let o be ((-230)/s)/(17/(-34)). What is the highest common factor of 23 and o? 23 Suppose 0 = -4*q - 0*q + 12. Let b be (-96)/(-5) - (80/25 - q). What is the greatest common divisor of 38 and b? 19 Let c = 5 - -9. Let w be (2 - -31) + c + -10. Let v = w + -22. What is the highest common factor of 5 and v? 5 Suppose 4*f + 0*g = 5*g - 156, 4*g = 3*f + 118. Let i = f + 42. Suppose 3*j - 32 = -8. What is the greatest common factor of i and j? 8 Let x(h) = h - 9. Let b be x(14). Suppose 0 = -o - b + 7. What is the highest common factor of 22 and o? 2 Let r(d) = d**3 - 2*d**2 - 8*d + 4. Let o be r(4). Calculate the highest common factor of 12 and o. 4 Let h be 204*((-6)/9 - 1). Let a = 1232 + -708. Let b = h + a. What is the greatest common divisor of 23 and b? 23 Suppose -5*v = k + 113, 0 = -0*v - 2*v - k - 47. Let w = v + 32. What is the highest common factor of 2 and w? 2 Suppose -5*b + 0 = -30. Suppose 27*k - 24*k - 96 = 0. Let p be (34 - k) + (0 - -40). Calculate the greatest common divisor of b and p. 6 Suppose 0 = 287*u - 289*u + 648. Calculate the greatest common factor of 12 and u. 12 Suppose 0 = -4*a + 2*c + 2982, -2*a + 58*c = 55*c - 1497. What is the greatest common divisor of 93 and a? 93 Let s be (28/35)/((-1)/(-30)). Let i = s - 20. What is the highest common divisor of 28 and i? 4 Suppose 0 = -2*u - 2*s + 604 - 22, 5*s = u - 297. What is the greatest common factor of u and 511? 73 Suppose 5*d + 60 - 135 = -5*s, -3*d = -2*s + 5. Calculate the greatest common divisor of s and 415. 5 Let r(u) = u**2 - 12. Let k be (-2)/((14/(-140))/(2/8)). Let w be r(k). What is the greatest common divisor of w and 117? 13 Suppose -3*j - b = j - 287, 343 = 5*j - 4*b. Suppose -4*d + 5*d = j. Let w = d - 50. What is the greatest common factor of w and 3? 3 Suppose -3*t + 191 = 5*c, 2*t + 35 - 189 = -4*c. Let y be (30/(-40))/((-2)/c). What is the greatest common divisor of 3 and y? 3 Suppose 54*o = 43*o + 110. Let v be 162/4 - 2/4. Calculate the greatest common factor of o and v. 10 Let b = 15 + -23. Let y be (b/(-6) - 0)*(2 + 1). Calculate the highest common divisor of y and 28. 4 Suppose 41 = 4*v - r - 7, 0 = 3*v - 5*r - 19. What is the greatest common divisor of 2 and v? 1 Suppose 27*d - 899 = 1045. What is the highest common factor of d and 44? 4 Let z(h) = h**2 + 11*h + 6. Let k(m) = -12*m**3 + 2*m**2 + m - 2. Let i be k(1). Let s be z(i). Calculate the highest common factor of 6 and s. 6 Let n = 382 - 312. What is the highest common divisor of n and 385? 35 Suppose 0 = -4*s - 3*a + 599 - 24, -25 = -5*a. Calculate the greatest common factor of 35 and s. 35 Suppose -2*b = 3*b - 10. Suppose -32 = -b*p + 2. Calculate the highest common factor of p and 187. 17 Suppose 251 = 3*r + 20. Suppose -4*j = 2*w + j + 31, 5*j + 16 = 3*w. Let n = r - w. Calculate the highest common factor of 8 and n. 8 Suppose 3*h + 292 = 4*u, -2*u + 172 = 6*h - h. Let s = u +
{ "pile_set_name": "DM Mathematics" }
is the o'th term of 239380, 239383, 239386, 239389, 239392, 239395? 3*o + 239377 What is the l'th term of -5688, -11343, -16998, -22653? -5655*l - 33 What is the l'th term of -76676, -76674, -76672? 2*l - 76678 What is the l'th term of 49364, 49371, 49376, 49379? -l**2 + 10*l + 49355 What is the t'th term of 39239, 156941, 353111, 627749? 39234*t**2 + 5 What is the i'th term of -12, 69, 326, 861, 1776, 3173, 5154? 17*i**3 - 14*i**2 + 4*i - 19 What is the c'th term of 180, 597, 1458, 2973, 5352, 8805, 13542? 35*c**3 + 12*c**2 + 136*c - 3 What is the w'th term of 7057, 14118, 21179, 28240? 7061*w - 4 What is the b'th term of 16676, 33207, 49738, 66269? 16531*b + 145 What is the l'th term of -153072, -153074, -153076, -153078? -2*l - 153070 What is the g'th term of -144, -63, 18, 99? 81*g - 225 What is the h'th term of 758, 575, 392, 209, 26? -183*h + 941 What is the p'th term of 12178, 48733, 109658, 194953? 12185*p**2 - 7 What is the y'th term of 33157, 33155, 33153? -2*y + 33159 What is the k'th term of 63475, 63507, 63553, 63619, 63711, 63835, 63997, 64203? k**3 + k**2 + 22*k + 63451 What is the s'th term of -2729261, -2729258, -2729255? 3*s - 2729264 What is the f'th term of 9782, 9788, 9794, 9800, 9806, 9812? 6*f + 9776 What is the p'th term of 19371, 38750, 58129, 77508, 96887, 116266? 19379*p - 8 What is the y'th term of -130315, -130312, -130307, -130300? y**2 - 130316 What is the r'th term of -20, 2, 38, 88, 152, 230, 322? 7*r**2 + r - 28 What is the d'th term of 24379, 24390, 24415, 24460, 24531? d**3 + d**2 + d + 24376 What is the u'th term of -115, -221, -309, -373, -407, -405, -361? u**3 + 3*u**2 - 122*u + 3 What is the i'th term of 539, 718, 1011, 1424, 1963, 2634? i**3 + 51*i**2 + 19*i + 468 What is the i'th term of 127, 672, 1579, 2848, 4479, 6472, 8827? 181*i**2 + 2*i - 56 What is the z'th term of 36870, 147551, 332020, 590277? 36894*z**2 - z - 23 What is the i'th term of 7224, 7218, 7206, 7188, 7164, 7134, 7098? -3*i**2 + 3*i + 7224 What is the g'th term of 1149, 4590, 10331, 18378, 28737? g**3 + 1144*g**2 + 2*g + 2 What is the h'th term of 37950, 75900, 113850, 151800? 37950*h What is the r'th term of 7383, 7398, 7413, 7428, 7443? 15*r + 7368 What is the l'th term of 5274, 10559, 15868, 21213, 26606? 2*l**3 + 5271*l + 1 What is the r'th term of 181, 683, 1503, 2641? 159*r**2 + 25*r - 3 What is the v'th term of 3208, 6425, 9634, 12829, 16004? -v**3 + 2*v**2 + 3218*v - 11 What is the q'th term of 367, 510, 753, 1102, 1563, 2142? q**3 + 44*q**2 + 4*q + 318 What is the i'th term of -8134, -8295, -8580, -9001, -9570, -10299, -11200, -12285? -2*i**3 - 50*i**2 + 3*i - 8085 What is the b'th term of -527, -3694, -8973, -16364, -25867, -37482? -1056*b**2 + b + 528 What is the l'th term of -361, -529, -697, -865, -1033, -1201? -168*l - 193 What is the n'th term of 14, 229, 814, 1955, 3838, 6649? 31*n**3 - n**2 + n - 17 What is the q'th term of -6007, -12008, -17995, -23962, -29903, -35812? q**3 + q**2 - 6011*q + 2 What is the d'th term of 1364, 5492, 12372, 22004? 1376*d**2 - 12 What is the z'th term of -748, -639, -454, -193? 38*z**2 - 5*z - 781 What is the o'th term of -609, -1215, -1823, -2433, -3045, -3659, -4275? -o**2 - 603*o - 5 What is the n'th term of 60117, 60125, 60145, 60183, 60245, 60337, 60465? n**3 + n + 60115 What is the w'th term of -4916, -4975, -5074, -5213, -5392, -5611, -5870? -20*w**2 + w - 4897 What is the u'th term of -56401, -56402, -56401, -56398, -56393, -56386, -56377? u**2 - 4*u - 56398 What is the z'th term of 7974, 15881, 23788? 7907*z + 67 What is the y'th term of -29780, -59574, -89368, -119162, -148956, -178750? -29794*y + 14 What is the d'th term of -5054, -10120, -15186? -5066*d + 12 What is the n'th term of -216285, -432571, -648859, -865149, -1081441? -n**2 - 216283*n - 1 What is the w'th term of 296, 1476, 3450, 6224, 9804, 14196? w**3 + 391*w**2 - 96 What is the y'th term of -1691, -3346, -5001? -1655*y - 36 What is the l'th term of 5942, 11306, 16660, 21998, 27314, 32602, 37856, 43070? -l**3 + l**2 + 5368*l + 574 What is the v'th term of -24625, -49341, -74055, -98767, -123477, -148185, -172891? v**2 - 24719*v + 93 What is the l'th term of 3889, 7772, 11651, 15526, 19397, 23264, 27127? -2*l**2 + 3889*l + 2 What is the v'th term of -52, -221, -530, -1003, -1664, -2537, -3646, -5015? -4*v**3 - 46*v**2 - 3*v + 1 What is the u'th term of 979, 3853, 8647, 15361, 23995, 34549? 960*u**2 - 6*u + 25 What is the d'th term of -16, -40, -52, -28, 56, 224? 4*d**3 - 18*d**2 + 2*d - 4 What is the r'th term of -2032, -4051, -6070? -2019*r - 13 What is the l'th term of 61314, 61319, 61326, 61335, 61346, 61359? l**2 + 2*l + 61311 What is the t'th term of 16, -299, -614, -929, -1244? -315*t + 331 What is the c'th term of 44, 141, 212, 263, 300, 329, 356, 387? c**3 - 19*c**2 + 147*c - 85 What is the t'th term of 947, 945, 941, 935, 927, 917? -t**2 + t + 947 What is the f'th term of 1127704, 1127699, 1127692, 1127683? -f**2 - 2*f + 1127707 What is the h'th term of -87033, -87056, -87125, -87264, -87497, -87848? -4*h**3 + h**2 + 2*h - 87032 What is the q'th term of -31825, -31836, -31849, -31864, -31881? -q**2 - 8*q - 31816 What is the b'th term of -64339, -64340, -64341, -64342, -64343? -b - 64338 What is the r'th term of 3106, 6078, 8916, 11614, 14166, 16566? -r**3 - 61*r**2 + 3162*r + 6 What is the b'th term of -732, -1463, -2206, -2967, -3752? -b**3 - 724*b - 7 What is the n'th term of 580, 2246, 5018, 8896, 13880, 19970? 553*n**2 + 7*n + 20 What is the g'th term of -129429, -129424, -129419? 5*g - 129434 What is the w'th term of -242, -989, -2234, -3977, -6218, -8957? -249*w**2 + 7 What is the a'th term of 540, 800, 1236, 1848? 88*a**2 - 4*a + 456 What is the z'th term of -162339, -162343, -162347, -162351, -162355, -162359? -4*z - 162335 What is the p'th term of 12, 56, 114, 192, 296, 432, 606, 824? p**3 + p**2 + 34*p - 24 What is the d'th term of 102698, 102696, 102706, 102734, 102786? d**3 - 9*d + 102706 What is the a'th term of 460, 872, 1284, 1696? 412*a + 48 What is the r'th term of 359391, 718784, 1078177, 1437570, 1796963, 2156356? 359393*r - 2 What is the d'th term of 6247936, 6247934, 6247932, 6247930, 6247928, 6247926? -2*d + 6247938 What is the p'th term of 178, 376, 568, 754, 934, 1108, 1276? -3*p**2 + 207*p - 26 What is the s'th term of 249, 374, 519, 690, 893, 1134, 1419, 1754? s**3 + 4*s**2 + 106*s + 138 What is the t'th term of -7237, -7243, -7249, -7255, -7261? -6*t - 7231 What is the j'th term of -16865, -33733, -50601, -67469? -16868*j + 3 What is the n'th term of -442447, -442438, -442429, -442420, -442411? 9*n - 442456 What is the n'th term of 74, 550, 1840, 4352, 8494? 68*n**3 - n**2 + 3*n + 4 What is the d'th term of -1718, -1731, -1756, -1799, -1866, -1963, -2096, -2271? -d**3 - 6*d - 1711 What is the f'th term of 7977, 32005, 72051, 128115, 200197, 288297? 8009*f**2 + f - 33 What is the y'th term of 255, 397, 469, 435, 259? -6*y**3 + y**2 + 181*y + 79 What is the f'th term of -122, -935, -3178, -7577, -14858, -25747, -40970? -121*f**3 + 11*f**2 + f - 13 What is the n'th term of -8798, -8780, -8760, -8738, -8714? n**2 + 15*n - 8814 What is the n'th term of 269, 675, 1167, 1787, 2577, 3579, 4835, 6387? 7*n**3 + n**2 + 354*n - 93 What is the c'th term of 187, 1010, 3239, 7576, 14723, 25382, 40255? 117*c**3 + c**2 + c + 68 What is the u'th term of 22, -139, -578, -1433, -2842, -4943, -7874, -11773? -23*u**3 - u**2 + 3*u + 43 What is the t'th term of 72467, 72468, 72469, 72470, 72471? t + 72466 What is the j'th term of 31283, 62569, 93855, 125141? 31286*j - 3 What is the o'th term of -272938, -545878, -818818, -1091758, -1364698, -1637638? -272940*o + 2 What is the b'th term of -198, -343, -482, -615, -742? 3*b**2 - 154*b - 47 What is the i'th term of -65, -433, -801, -1169? -368*i + 303 What is the p'th term of 2359, 993, -1273, -4433, -8481, -13411, -19217? p**3 - 456*p**2 - 5*p + 2819 What is the a'th term of -36483, -72979, -109475, -145971, -182467, -218963? -36496*a + 13 What is the w'th term of 1111, 4445, 10013, 17821, 27875, 40181? w**3 + 1111*w**2 - 6*w + 5 What is the y'th term of 39730, 39731, 39732, 39733, 39734, 39735? y + 39729 What is the t'th term of 362, 468, 568, 662, 7
{ "pile_set_name": "DM Mathematics" }
ind the second derivative of 23134688*d**5 + 4*d**4 - d**2 + 379182618*d + 2 wrt d. 462693760*d**3 + 48*d**2 - 2 Find the third derivative of 31*a**4 + 152*a**3*s**2 + 26*a**3 + 6*a**2*s**2 + 9*a**2 - a*s**2 + 16*a - 5*s wrt a. 744*a + 912*s**2 + 156 What is the third derivative of q**3*y**2 - 152755*q**3*y - 578*q**3 + 1824985*q**2*y**2 + q**2*y + 3*q**2 - 5*q*y**2 + 1 wrt q? 6*y**2 - 916530*y - 3468 Find the first derivative of 3187409*z - 43392417 wrt z. 3187409 What is the second derivative of -38275877*z**2 + 157363377*z wrt z? -76551754 Find the second derivative of r*s**2*y**2 + 2463*r*s**2*y + 156*r*s**2 + 35279060*r*s*y**2 + 23*r*s - 1 wrt y. 2*r*s**2 + 70558120*r*s Differentiate -190863*k*m**3 - 11*k - 764*m**3 - 21056*m with respect to k. -190863*m**3 - 11 What is the third derivative of 49*r**6 + 135983*r**5 + 22*r**2 - 186*r - 284 wrt r? 5880*r**3 + 8158980*r**2 What is the third derivative of 1097*w**6 - 14*w**4 + 2468*w**3 - 557769820*w**2? 131640*w**3 - 336*w + 14808 Find the third derivative of -193*m*w**4 - 25*m*w**3 + 207*m*w + 4*w**4 - 56*w**3 + 251689*w**2 wrt w. -4632*m*w - 150*m + 96*w - 336 Find the second derivative of -575004*r**4*x - 3*r**2*x**2 - 956*r*x**2 + 2*r + 2288*x**2 - x wrt r. -6900048*r**2*x - 6*x**2 Find the third derivative of 692242434*p**3*r - 2*p**2*r - 9*p**2 + 3392168*p wrt p. 4153454604*r What is the third derivative of -n**6*p + 1322592*n**5*p + 33504758*n**2*p wrt n? -120*n**3*p + 79355520*n**2*p What is the third derivative of 640143*o**4*p - 36*o**3*p + 23*o**2*p - 12*o**2 - 3*p - 8 wrt o? 15363432*o*p - 216*p Differentiate 44185325*s**3 + 12982785. 132555975*s**2 What is the third derivative of -4324328*p*w**3 + 2*p*w**2 + p*w - p - 28*w**3 + 18*w**2 + 120588 wrt w? -25945968*p - 168 Find the second derivative of 2*o*t**3 + 15*o*t**2 + 14919*o*t - o - t**3 + 3787667*t**2 - 9*t - 22 wrt t. 12*o*t + 30*o - 6*t + 7575334 What is the second derivative of -25918*l*n**3 + 11*l*n**2 + 526*l*n + n**2 + 877270*n wrt n? -155508*l*n + 22*l + 2 What is the third derivative of 4845188*i**5 - i**2 - 12446*i + 1 wrt i? 290711280*i**2 Find the second derivative of m*x**4 + 654874*m*x**3 - 2*m*x + 4*m + 47*x - 57 wrt x. 12*m*x**2 + 3929244*m*x Find the first derivative of 13915840*q**3 - 41267063. 41747520*q**2 What is the derivative of 40568783*v**2 + 34894166? 81137566*v Find the second derivative of -1720324*k**3*z + 26*k**3 - 6*k*z + 7518*k + 2370*z wrt k. -10321944*k*z + 156*k Find the third derivative of -477920997*l**3 - 13352*l**2 - 13*l - 300 wrt l. -2867525982 Find the third derivative of 33627985*v**3 + 72*v**2 - 610654*v. 201767910 Find the first derivative of 8883760*g + 2533214. 8883760 Find the third derivative of 59407*z**4 - 747*z**3 - 86956422*z**2 wrt z. 1425768*z - 4482 What is the second derivative of -13*i**3*r - 93779005*i**3*y**3 - 18954214*i**2*y + 3*r*y**3 wrt y? -562674030*i**3*y + 18*r*y What is the derivative of 19*j*m**2 - 3585257*j*m + 527662415*m**2 wrt j? 19*m**2 - 3585257*m What is the first derivative of -26777141*o**2 + 53109903 wrt o? -53554282*o What is the first derivative of -7965*v*w**2 - 1083*v*w - 11272681*v - 3*w**2 wrt w? -15930*v*w - 1083*v - 6*w Find the third derivative of 5147006*a*b**5 + 3*a*b**2 - 4*a*b - 135*a - b**6 - 2*b**2 + 8*b + 5 wrt b. 308820360*a*b**2 - 120*b**3 Differentiate -281078826*y - 125821482. -281078826 What is the derivative of 187320*j**2 + 27*j*y - 195665*y + 4 wrt j? 374640*j + 27*y Find the first derivative of 11*d**2*i**2 + 3380963*d**2*i*q - 2*d**2 + d*i**2*q - 6*d*i**2 + 6230*d*i - i wrt q. 3380963*d**2*i + d*i**2 What is the second derivative of -420901487*y**2 + 42527800*y - 3? -841802974 What is the third derivative of -1215476*c**5 - 121*c**2 + 2507 wrt c? -72928560*c**2 Find the third derivative of -8150772*m**4 - 3*m**3 + 57015858*m**2. -195618528*m - 18 Find the third derivative of 147*o**4 - 15965*o**3 + 129*o**2 - 26620*o + 2 wrt o. 3528*o - 95790 What is the derivative of -231511096*k**3 + 128336880? -694533288*k**2 What is the derivative of 24172959*b**4 + 7333066 wrt b? 96691836*b**3 What is the third derivative of -21039046*i**3 - 5*i**2 - 11*i + 69487 wrt i? -126234276 What is the derivative of -454345893*u**2 - 106592026? -908691786*u What is the derivative of 2*b**2*w**2 - 6684102*b*w + 23277995*w**2 wrt b? 4*b*w**2 - 6684102*w What is the derivative of j**3*l*q + 4*j**3 + j**2*l**3 - 37*j*l**2 + 85*j*l + 1579413*l**3*q wrt q? j**3*l + 1579413*l**3 Differentiate -2*g*x**2 - 2*g*x + 130073*g - 2*x**2 + 5040*x - 871 with respect to g. -2*x**2 - 2*x + 130073 Differentiate 2820375*x**3 + 27194502 wrt x. 8461125*x**2 Find the third derivative of 198631518*x**4 + x**3 + 6697*x**2 - 1144*x + 2. 4767156432*x + 6 Find the second derivative of 264*c**3 - 173983*c**2 + 94155193*c wrt c. 1584*c - 347966 What is the third derivative of -h**3*r + 19189*h**3 - 10727425*h**2*r wrt h? -6*r + 115134 Find the third derivative of -28321*m*s**3 - 27262083*m + 74*s**3 - s**2 wrt s. -169926*m + 444 Find the second derivative of -509951*d*j**5 + d*j**2 - 1293*d*j - 410*d - j wrt j. -10199020*d*j**3 + 2*d Find the second derivative of -5*j**3*n**3 - j**3*n**2 + 2*j**3*n + 12*j**2*o + 3*j*n - 2*j + 115682*n**2*o - 674*n wrt n. -30*j**3*n - 2*j**3 + 231364*o What is the derivative of -12897532*u**3 + 5042352 wrt u? -38692596*u**2 Differentiate 677427798*l**3*n + 1510070416*l**3 wrt n. 677427798*l**3 What is the second derivative of 14*f**3*z + 394*f**3 + 401*f**2*z - 7*f**2 - 691*f*z - 4*f + 23728*z wrt f? 84*f*z + 2364*f + 802*z - 14 Find the first derivative of 8128*z**3 - 2725*z**2 + 3*z + 508017012. 24384*z**2 - 5450*z + 3 Find the second derivative of -2*i**4 + 9371*i**2*z**3 + 98*i**2*z + 239973*i*z**3 + i*z + 5*i wrt i. -24*i**2 + 18742*z**3 + 196*z What is the third derivative of 127211661*g**3 + 31638*g**2 + 1282 wrt g? 763269966 What is the third derivative of -223371*f**4*w + 4*f**4 - 2*f**2*w - 10954*f*w - 2*f - 3*w - 40 wrt f? -5360904*f*w + 96*f What is the second derivative of -378*s**4*z - 632*s**3 - 374*s**2*z + 70339*s - 233*z wrt s? -4536*s**2*z - 3792*s - 748*z Find the first derivative of -270*l*t - 8732555*l + 234998*t wrt t. -270*l + 234998 Differentiate 2*d**4 - 87*d**3 + 5*d**2 + 684*d + 14151166 with respect to d. 8*d**3 - 261*d**2 + 10*d + 684 What is the third derivative of -2*j**3*l - 2224620*j**3*q + 2*j**2*l*q - 713428*j*l wrt j? -12*l - 13347720*q Find the second derivative of 3*b**5*c - 4*b**5 - 120165*b**2*c - 11*b + 169036*c + 1 wrt b. 60*b**3*c - 80*b**3 - 240330*c What is the second derivative of -10*z**4 - 10*z**3 - 523*z**2 - 32485*z + 14 wrt z? -120*z**2 - 60*z - 1046 What is the first derivative of -47*b**4 + b**2*g**2 + 8621*b**2 + 1291*g**2 - 305 wrt b? -188*b**3 + 2*b*g**2 + 17242*b What is the first derivative of -1990368*y - 70073054 wrt y? -1990368 Find the second derivative of -29794*m**3 + 47*m**2 + 59557951*m. -178764*m + 94 What is the second derivative of 19*w**3*z**2 + w**3*z + 4018508*w**3 + 22977*w**2*z**2 + 2*z**2 wrt z? 38*w**3 + 45954*w**2 + 4 What is the third derivative of 287*x**5 - 35083*x**4 + 12257*x**2 - 2424*x wrt x? 17220*x**2 - 841992*x Find the second derivative of -4379*i**4 + 554*i**2 + 41232640*i wrt i. -52548*i**2 + 1108 Find the second derivative of -3721384*f**2*k**2 + 21*f**2 + 133837*k wrt k. -7442768*f**2 Find the second derivative of -2969779*l**2*v**3 - 3*l**2*v**2 - l**2 + 1670*l*v**3 - 27246*l*v**2 wrt l. -5939558*v**3 - 6*v**2 - 2 Differentiate 1246*r*u**3 + 570*r*u**2 + 741065*u**3 wrt r. 1246*u**3 + 570*u**2 Differentiate -170148*c**2*d**2 + 127*c*d**2 + 61171*d**2 - d + 845 wrt c. -340296*c*d**2 + 127*d**2 What is the second derivative of 17*f*v**2*z + 16471*f*v**2 - f*v*z + 11222989*f*v + f*z + 3*v**2 wrt v? 34*f*z + 32942*f + 6 Find the second derivative of -1155*g**2*i**2*n + 70936*g**2*n**3 + 7*g*i**2*n**3 - 85*g*i**2*n**2 - g*n - 24*i**2*n**2 - n**2 wrt g. -2310*i**2*n + 141872*n**3 What is the first derivative of -876600*k**4 - 13*k**3 + 4*k - 118441561? -3506400*k**3 - 39*k**2 + 4 What is the second derivative of 22629*h*t**4 + 241*h*t**2 + 24*h*t - h - 9*t**3 + 1442565*t wrt t? 271548*h*t**2 + 482*h - 54*t Differentiate 534454473*g**2 - 508628260 w
{ "pile_set_name": "DM Mathematics" }
1 or -507317? 1 Is 125/174 greater than -0.1? True Is -24/5 greater than -0.0408? False Is 3061394 < 3061395? True Is 1685593 greater than 1685596? False Which is smaller: -7509257 or -7509256? -7509257 Is -124988 bigger than -124989? True Which is greater: -1095275 or -1095274? -1095274 Is 124594 greater than -4? True Which is bigger: -3/41057 or 0? 0 Is 18745 smaller than -3/5? False Is 37950 != -1/5? True Does -1 = 17/235576? False Which is smaller: 30064 or 30071? 30064 Is -4326/227 <= -0.2? True Which is greater: -25 or 140? 140 Which is smaller: -835913 or -835915? -835915 Is 5/86394 equal to -1? False Which is smaller: -1 or -15/6112? -1 Is -47179 != -47154? True Which is bigger: 8647 or 8649? 8649 Is 4726 at least as big as 4728? False Is 4/38455 <= 1? True Which is bigger: 275 or 199? 275 Which is bigger: 1/4786832 or 0? 1/4786832 Is 1 >= 17/40479? True Which is greater: 5/407322 or 0? 5/407322 Which is bigger: -2 or -85733? -2 Which is smaller: 66/10951 or 0? 0 Is -304 < 1036? True Is -1655 less than 49? True Is -2/33065 less than -1? False Which is bigger: 169913 or 169911? 169913 Is 2448054 smaller than 2448054? False Which is bigger: -0.028 or 224? 224 Is 0.358 at most -0.155? False Which is smaller: -1/2 or -2559629? -2559629 Is 460052 less than 460045? False Which is bigger: 9491 or 218274/23? 9491 Which is bigger: 1361 or 50? 1361 Which is smaller: -1 or -51/119251? -1 Which is bigger: -22 or -69.16? -22 Is -1 > 195/647? False Which is greater: -16865 or -16971? -16865 Is 0.6 at least as big as 5556? False Is 851/4 at most 2.3? False Are 2066 and 8263/4 non-equal? True Are -874 and -821 nonequal? True Is 11/14906 at least as big as 0? True Is -727 at most -616? True Which is smaller: 23031 or 23036? 23031 Is 1 at least 45/255019? True Is -62825 <= -62825? True Is -710756 not equal to -710758? True Is -16/148185 less than or equal to -1? False Is -16507 greater than -16628? True Which is greater: 0 or 2722/3885? 2722/3885 Is -20/257939 at least 0? False Is -65029 >= -65029? True Is 30/47029 at least as big as -1? True Is 663 > 1389? False Are 1758 and -22 nonequal? True Which is bigger: -149692/5 or -29939? -149692/5 Are -1147 and -1131 equal? False Which is bigger: -1 or 2/2053205? 2/2053205 Which is bigger: -63/28685 or -1? -63/28685 Which is smaller: -14596 or 12? -14596 Which is smaller: -124.99 or 12? -124.99 Which is greater: 378989 or 1136966/3? 378989 Are -1 and -359/160 unequal? True Is -1781 not equal to 24.7? True Is -7803 >= 2/3? False Which is greater: -488 or 40? 40 Is 1284.03 less than or equal to 5? False Is 38 < 3558.7? True Is 2227 bigger than -79/4? True Is -199629 at least as big as -199629? True Which is smaller: -13931/4 or -3483? -3483 Is -0.1029 smaller than -163? False Which is bigger: -233263 or 4? 4 Which is smaller: -2 or -9790? -9790 Which is smaller: -1 or -1/224136? -1 Is -2567 < -4? True Is 455751 >= 455750? True Is -6346265 less than or equal to -6346264? True Is 14464 less than or equal to 14465? True Which is smaller: -41407 or -41395? -41407 Is 1.807 at most 49/11? True Is -3845 at most as big as -3840? True Which is smaller: 7/40295 or -1? -1 Which is smaller: 31040 or 31123? 31040 Is -1 less than or equal to 7/4280? True Is -1 not equal to -136/26927? True Is 2/9 equal to 139481? False Is -3/2 >= 466463? False Is 19250 > -5? True Which is bigger: -54493 or -54532? -54493 Which is smaller: -1280 or -1116? -1280 Which is smaller: 2/3 or 50257? 2/3 Is -151597 equal to 0.1? False Is -4652675 at most as big as -4652675? True Is 4557.8 bigger than -10? True Is 3 bigger than 2509? False Is -70 at most as big as 20856? True Is 27279/37 >= 1? True Is 4848 less than 4849? True Are 228 and 866 equal? False Which is bigger: 1454129 or 1454130? 1454130 Which is smaller: -104538 or -313615/3? -313615/3 Which is smaller: -0.16 or 282? -0.16 Is 2275/32 >= 72? False Which is greater: 747728/13 or 57519? 57519 Which is smaller: 18 or -2/197793? -2/197793 Which is greater: 26953/178 or 150? 26953/178 Is -6979 at least as big as -7139? True Is 875 > 9630/11? False Is 30048 less than 30045? False Which is smaller: 41 or -550? -550 Which is smaller: -34/25529 or 0? -34/25529 Which is bigger: -242660 or -242656? -242656 Is -229.55 > -6/7? False Which is smaller: -674 or -20904/31? -20904/31 Is 69146 < -3/64? False Is 35 not equal to 1966? True Which is greater: -1815036 or -1815037? -1815036 Is 1 >= 6/45697? True Which is smaller: -4894/2343 or -1? -4894/2343 Which is bigger: -0.1 or 4190/87? 4190/87 Is 49311 equal to 49321? False Is -39/7 <= -1/2151? True Is -2/285623 != -0.043? True Which is smaller: -18187 or -18191? -18191 Is 289 at least -0.16? True Is 0.538 < 0.37? False Which is greater: -0.04 or 8.8073? 8.8073 Which is smaller: 29 or 0.752? 0.752 Which is greater: -7422/67 or -110? -110 Which is smaller: -52 or -6/77? -52 Which is bigger: -145175 or -145176? -145175 Is -0.5063 at most as big as 7? True Are -44/12495 and 1 non-equal? True Which is bigger: 15/4 or 189? 189 Is 131 < 160? True Which is greater: -2 or -29/35? -29/35 Which is smaller: 2181 or 2180? 2180 Is -42017 greater than or equal to -42006? False Is 22.01 smaller than -21? False Are 57 and 13240/229 nonequal? True Is 1/13 smaller than -42190? False Is 0 < -38381/47? False Do 1 and 4/38345 have different values? True Is 0 at most as big as -114/763? False Are 4.19 and -479 equal? False Is 125944 bigger than 125945? False Is 1356 bigger than 1358? False Which is bigger: -557562 or -557561? -557561 Which is smaller: 0.079 or 1.1426? 0.079 Which is smaller: 57797 or 2/17? 2/17 Which is bigger: 639538 or 639537? 639538 Is -42529/23 smaller than -1850? False Which is smaller: -194084 or -1358594/7? -1358594/7 Is -8578606 less than or equal to -8578606? True Which is greater: -1317/74 or 0.3? 0.3 Is 21 at least 36031? False Is -334/883 at most as big as -1? False Which is smaller: -7992 or -7955? -7992 Which is smaller: 90686 or 90685? 90685 Which is greater: -1083/47 or -24? -1083/47 Which is smaller: -4/183439 or 0? -4/183439 Which is greater: 1/222 or -225/4? 1/222 Is 1 greater than or equal to -8/277485? True Which is smaller: 5025/62 or 82? 5025/62 Is 50/268099 < -1? False Which is smaller: -154210 or -154212? -154212 Which is bigger: -70 or -0.00254? -0.00254 Which is bigger: 1/6503878 or 0? 1/6503878 Is -5435 equal to -5609? False Is 26 smaller than 3004/121? False Is -39533 bigger than -39533? False Which is greater: 6/213997 or -1/2? 6/213997 Which is greater: 404 or 544? 544 Which is smaller: 5/8 or -1/1867? -1/1867 Is 294520 <= 294518? False Which is smaller: 2095 or -38? -38 Which is smaller: -1/715652 or 1? -1/715652 Which is smaller: 26/710803 or 1? 26/710803 Which is smaller: 74 or 179? 74 Which is smaller: 5074 or 5091? 5074 Is -481 > -457? False Is 972 less than or equal to 1059? True Which is greater: 31560/539 or 59? 59 Is 4622 equal to 4623? False Is -0.23395 greater than -1/3? True Which is greater: 13640/29 or 470? 13640/29 Which is bigger: 140.8 or -0.37? 140.8 Is -5.1 bigger than 0.24? False Is 1 bigger than -84554? True Which is smaller: -43871/6 or -7313? -7313 Are 1/2 and -4/251 non-equal? True Is -1266 greater than or equal to -1253? False Is -18503/13 at least -1424? True Is -136 less than -134? True Which is smaller: 11027.8 or 0? 0 Is -6315/2 <= -3159? False Is 15003 not equal to 45007/3? True Which is smaller: 54462 or 54453? 54453 Is 98935 less than 98922? False Which is smaller: -1 or 34390? -1 Is 26/7 bigger than 2931? False Is 254825 not equal to -1/3? True Which is smaller: 6125 or 6132? 6125 Is 12/4387 greater than or equal to 1? False Which is smaller: 1823659 or 1823660? 1823659 Is 346227/2 >= 173113? True Which is bigger: -1643 or -1613? -1613 Are -42 and 59274 equal? False Is -1/9 <= 12921? True Which is greater: 0 or -266/5631? 0 Which is smaller: 3/304268 or 0? 0 Is 1812 less than 179? False Is 2/477919 bigger than 1? False Which is smaller: 51/2156 or -1? -1 Does 28215/13 = 2170? False Is -655701 >= -655700? False Is -892 at most 6.1? True Which is smaller: -2063/162 or -14? -14 Which is smaller: 594 or -0.02637? -0.02637 Which is greater: 172 or 58? 172 Is 18/551 != -144? True Which is smaller: 18
{ "pile_set_name": "DM Mathematics" }
= -601 + 1702 - 1101 + 2*q**2. Determine h(o(m)). 8*m**4 + 54 Let x(u) = -2*u**2 - 105*u - 1425. Let m(z) = -252*z. Give m(x(g)). 504*g**2 + 26460*g + 359100 Let t be (19 - (-20)/(-4))*(-2)/(-4). Suppose t*h - 28 = 3*h. Let c(m) = 8*m + 3*m - h*m. Let x(l) = l. What is c(x(d))? 4*d Let y(z) = -31*z**2. Suppose 3*n = -2*a + 12, 4*a - 11 - 7 = -3*n. Let v(i) = -45185*i + 2*i**n + 45185*i. What is y(v(u))? -124*u**4 Let w(z) = 28*z. Let k(b) = -840854*b**2. Determine k(w(u)). -659229536*u**2 Let h(m) be the second derivative of m**4/8 - 183*m**2/2 - 131*m. Let x(d) be the first derivative of h(d). Let f(j) = 18*j**2. What is f(x(b))? 162*b**2 Let y(g) be the third derivative of g**4/24 + 44*g**2 - 4*g. Let v(d) = -d. Let c(r) = -2*r - 2. Let x(t) = -c(t) + 3*v(t). Calculate x(y(i)). -i + 2 Suppose 0 = 4*c + 16, -2*v = 2*c - 0*c. Let y(r) = -22*r - 9. Let x(p) = 10*p + 4. Let j(g) = v*y(g) + 9*x(g). Let s(z) = 8*z - 22*z + 3 - 3. Determine s(j(q)). -28*q Let y(q) = -17*q. Suppose 0 = -26*f + 5*f - f + 66. Let g(a) be the third derivative of -1/24*a**4 - 9*a**2 + 0*a + 0*a**f + 0. Calculate g(y(o)). 17*o Let t(k) = 2*k - 692. Let d(a) be the third derivative of a**4/8 - 1656*a**2. Determine t(d(m)). 6*m - 692 Let w(o) be the third derivative of 7*o**4/24 + o**2 - 130*o. Let u(s) = -2*s - 58. What is w(u(f))? -14*f - 406 Let b(c) = 8902*c. Let m(k) = -13*k**2 + 6*k + 3. Let n(f) = -8*f**2 + 4*f + 2. Let w(g) = 2*m(g) - 3*n(g). Give b(w(t)). -17804*t**2 Let m(v) be the third derivative of v**4/12 + 2*v**2. Suppose -98*w = -103*w + 20. Let n(q) = 6*q - 5*q + q + w + q. Determine n(m(d)). 6*d + 4 Let s(m) = 17*m**2. Let x(i) = 6*i**2 + 6. Let c = -751 - -755. Let j(u) = -5*u**2 - 8. Let v(w) = c*x(w) + 3*j(w). Give v(s(q)). 2601*q**4 Let c(a) = 41794148*a. Let b(v) = -v**2. Give c(b(t)). -41794148*t**2 Let h(j) = -j. Let z(k) = -k**2 + 2*k + 2. Let n be z(-2). Let v = n - -8. Let f(i) = 391*i - 40*i**v - 391*i. Determine h(f(c)). 40*c**2 Let i(z) = 7*z + 20. Let w(f) = -112*f - 315. Let j(u) = -63*i(u) - 4*w(u). Let y(q) = -171*q. What is j(y(t))? -1197*t Let y(s) = -9*s. Let i(f) = f**2 + 4*f + 3. Let h(z) = 2*z**2 + 18*z + 13. Let q(d) = -2*h(d) + 9*i(d). Calculate y(q(b)). -45*b**2 - 9 Let k(v) = v**2. Let f(g) = 4*g**2 + 8*g - 11. Let n(w) = 8*w**2 + 18*w - 20. Suppose 87 - 91 = -c. Let u(s) = c*n(s) - 9*f(s). Calculate k(u(p)). 16*p**4 - 152*p**2 + 361 Let h(m) = 4072*m - 3156. Let y(s) = -3*s. Give h(y(f)). -12216*f - 3156 Let z(j) = 7*j + 4. Let s(l) = -6*l - 3. Let o(d) = -4*s(d) - 3*z(d). Let f(n) be the first derivative of -26 + 0*n**2 + 0*n + 1/3*n**3. What is f(o(r))? 9*r**2 Let w(d) = 5*d. Let b(c) = 5*c + 159753. What is w(b(u))? 25*u + 798765 Let j(k) = -3*k. Let q(w) = -2*w**2 + w + 2. Let l(h) = -1216*h**2 + 760*h + 1520. Let i(p) = l(p) - 760*q(p). Determine i(j(c)). 2736*c**2 Let y(u) = 3*u**2. Let j(z) = 11651*z**2 - 5645*z**2 - 5764*z**2. What is y(j(b))? 175692*b**4 Let p(u) = -38139*u - 12. Let k(x) = 4*x**2. Give p(k(d)). -152556*d**2 - 12 Let k(l) = -l - 20845163. Let s(d) = 8*d. What is k(s(h))? -8*h - 20845163 Let x(y) = 122*y - 26. Let i(l) = 14*l - 3. Let g(n) = -104*i(n) + 12*x(n). Let h(t) = 5*t. Calculate g(h(m)). 40*m Let g(b) = 4*b**2. Let j(c) be the second derivative of c**4/12 + 9*c**2/2 + 507*c + 1. Calculate g(j(t)). 4*t**4 + 72*t**2 + 324 Let u(v) = -4*v - 292 - 438 + 733. Let g(t) = 35*t. Give u(g(n)). -140*n + 3 Let g(u) = -29429*u**2 + 960*u. Let a(y) = 2*y. Give g(a(x)). -117716*x**2 + 1920*x Let z(t) = 2206*t**2. Let y(w) = -4674*w + 57. Determine y(z(i)). -10310844*i**2 + 57 Let i(d) = 498753*d. Let m(w) = 51*w. What is m(i(t))? 25436403*t Let d(m) = -31134*m. Let z(l) = -55*l - 8. Calculate z(d(c)). 1712370*c - 8 Let i = 157 + -286. Let r = i - -131. Let b(x) = -6*x**2 + 3*x**2 + 5*x**r. Let u(v) = 68*v. Calculate b(u(a)). 9248*a**2 Let v(f) = 13*f**2 + 9*f + 9. Let s(z) = -6*z**2 - 4*z - 4. Let g(a) = -9*s(a) - 4*v(a). Let q(c) be the first derivative of -7*c**3/3 - 52. Give q(g(n)). -28*n**4 Let p(b) = 10255*b. Let u(r) = -32*r + 715. Determine p(u(a)). -328160*a + 7332325 Let w(g) = -2*g. Let h(u) = 4868641*u. Determine h(w(a)). -9737282*a Let k = 20 - 22. Let q be ((-12)/(-21))/(k/(-7)). Let t(b) = q*b - 2*b + 3*b + 0*b. Let d(m) = -7*m. Determine t(d(o)). -21*o Let q(m) = 22*m**2. Let p(o) be the first derivative of o**3/3 + o - 178. Give p(q(t)). 484*t**4 + 1 Let h(n) = 2*n**2. Let d(q) = -2*q**2. Let l(s) = -169*s**2. Let o(v) = -65*d(v) + l(v). Give o(h(z)). -156*z**4 Let y(p) = -3*p**2. Let g(h) = -1020166*h + 2. Determine g(y(l)). 3060498*l**2 + 2 Let t(k) = 109*k. Let m(x) = 25*x - 21. Let l(q) = 144*q - 119. Let n(o) = 6*l(o) - 34*m(o). Determine n(t(a)). 1526*a Let z(v) = 142*v. Suppose -844 + 790 = -6*l. Let p(x) = l - 2*x - 22 + 13. Give p(z(b)). -284*b Let o(x) = 2*x. Let c(v) = -625658373*v**2. Determine c(o(w)). -2502633492*w**2 Let q(o) = -15850*o + 31666*o - 15900*o. Let t(h) = -45*h**2 + 2*h. Determine q(t(z)). 3780*z**2 - 168*z Let z(l) = -3443516*l. Let d(y) = y**2. Calculate d(z(m)). 11857802442256*m**2 Let o(u) be the second derivative of -2*u**3 + 2*u. Let s be -4*(-3)/(0 + 3). Let i(l) = 7*l**2 - s*l**2 - 12*l**2 + 5*l**2. What is i(o(b))? -576*b**2 Let x(o) = -o**2 + 29*o + 63. Let z be x(24). Let i(k) = 512*k - z*k**2 - 512*k. Let d(s) = -2*s. What is d(i(w))? 366*w**2 Let u(i) = -7*i. Let r(o) = 4*o**2 - 9*o. Let k(t) be the first derivative of -t**3/3 + t**2 + 42. Let n(y) = 18*k(y) + 4*r(y). Give n(u(q)). -98*q**2 Let q(w) = w. Let m(u) = 3*u - 31964636. Determine m(q(c)). 3*c - 31964636 Let c(t) = -17*t**2 + 1535. Let g(p) = 94*p. Give g(c(z)). -1598*z**2 + 144290 Let g(m) = -2*m - 92. Let i(z) = -56851*z. What is g(i(r))? 113702*r - 92 Let s(r) = 555139*r. Let a(g) = 3*g + 21. Give a(s(q)). 1665417*q + 21 Let t(g) = -372*g + 607 + 139*g - 607 - 543*g. Let f(p) = 17*p**2 - 45*p**2 + 11*p**2 + 18*p**2. Determine t(f(c)). -776*c**2 Let s(b) = -8*b. Let p(j) = 71248503*j. What is p(s(m))? -569988024*m Let t(g) be the first derivative of 5*g**4/12 + 2*g**2 - 7*g + 2. Let m(j) be the second derivative of t(j). Let v(y) = 14*y. Calculate v(m(n)). 140*n Let r(u) = u. Let m(h) be the first derivative of -62*h**3 - 244 + 14*h**2 - 14*h**2. Calculate m(r(q)). -186*q**2 Let k(s) be the first derivative of 22*s**2 + 12*s + 1807. Let d(u) = 3*u**2. What is k(d(x))? 132*x**2 + 12 Let m(f) be the second derivative of -2*f**3/3 - 428*f - 34. Let v(j) be the second derivative of j**4/12 - j. Determine v(m(q)). 16*q**2 Let s(w) = -803*w. Let v(x) = 23*x**2 + x + 2. Let p(l) = 93*l**2 + 4*l + 8. Let k(o) = p(o) - 4*v(o). What is s(k(m))? -803*m**2 Let x(s) = 148*s**2. Let b(v) = 73*v**2 - 1081. Give b(x(t)). 1598992*t**4 - 1081 Let c(n) be the third derivative of n**4/3 + n**3/3 - 6*n**2 - 14. Let x(h) = h - 70. Determine c(x(j)). 8*j - 558 Let f(j) = -259*j**2 - 3*j - 2. Let w(g) = 496*g. Give w(f(m)). -128464*m**2 - 1488*m - 992 Let w(o) be the first derivative of 2*o**2 - 3138. Let q(u) = -9*u**2 + 4*u. What is w(q(g))? -36*g**2 + 16*g Let y = -320 + 322. Let f(z) = 5*z**2 + 2*z**2 + 2*z**2 + 6*z**y. Let a(b) = -2*b**2. Determine f(a(n)). 60*n**4 Let b(l) = -14*l**2 + 333 - 171 - 162. Let x(n) = 7*n + 2. Give x(b(h)). -98*h**2 + 2 Let v(w) = -13*w**2 - 3*w**2 + 841 - 841. Let h(z) = -3*z - 1. Give h(v(r)). 48*r**2 - 1 Let f(x) = -506*x**2. Let v(g) = 255*g**2 + 37*g + 1. Determine v(f(j)). 65289180*j**4 - 18722*j**2 + 1 Let a(q) = -19714*q**2. Let t(j) = -j**2 + 188*j. Give t(a(k)). -388641796*k**4 - 3706232*k**2 Let m(j) = -j**2. Let p(y) = -y**2. Let x = 90 + -72. Let c = x + -13. Let a(v) = c*m(v) - 7*p(v). Let n(g) = -6*g**2. What is a(n(d))? 72*d**4 Let u(a) = 12*a - 3. Let b(d) = 335*d - 85. Let h(s) = -6*b(s) + 170*u(s). Let w(p) be the first derivative of 5*p**3/3 + 23. What is w(h(q))? 4500*q**2 Let n(s) = -s. Let g(x) = -x**2 - 2*x + 58. Let l(d) = 456*d**2 + 304*d - 8816. Let b(a) = 760*g(a) + 5*l(a). What is n(b(o))? -1520*o**2 Let y(q) be the first derivative of 4*q**3/3 + 110. Let h(o) = 17*o - 25. Calculate h(y(p)). 68*p**2 - 25 Let d(f) = f - 1. Let v be (180/16)/(5/20). Let n(t) = -47*t + 87*t - v*t + 4. Let l(c) = -4*d(c) - n(c). Let w(m) = -5*m. Give l(w(u)). -5*u
{ "pile_set_name": "DM Mathematics" }
atest common divisor of 884 and 40487200? 884 What is the highest common factor of 445858616 and 434? 434 Calculate the highest common divisor of 6230 and 2050265. 35 What is the highest common divisor of 46712582 and 294? 98 What is the highest common divisor of 9024 and 843264? 192 What is the greatest common factor of 998602033 and 429? 143 What is the greatest common factor of 4274300 and 1475? 25 Calculate the greatest common divisor of 322040 and 5230240. 3880 Calculate the highest common factor of 53331512 and 728. 104 What is the highest common divisor of 880 and 28757080? 440 What is the highest common factor of 5668 and 15238418? 2834 What is the greatest common divisor of 249920 and 45653? 71 What is the greatest common divisor of 15416 and 31030481? 1927 What is the greatest common divisor of 567583 and 39547? 557 What is the greatest common divisor of 132600368 and 112? 16 What is the greatest common divisor of 1173021844 and 538? 538 Calculate the highest common divisor of 2958852 and 429. 39 What is the greatest common divisor of 13490 and 833530? 190 Calculate the greatest common divisor of 6486 and 19234233. 3243 Calculate the greatest common factor of 58683 and 107322. 93 Calculate the highest common factor of 16575 and 2473653. 663 Calculate the greatest common divisor of 1212746 and 12070. 34 Calculate the greatest common divisor of 187143 and 5778. 321 What is the highest common factor of 26214 and 20818285? 4369 Calculate the highest common divisor of 48 and 818058. 6 What is the highest common factor of 1459300 and 32300? 100 What is the highest common divisor of 342 and 24948045? 171 Calculate the highest common factor of 137878 and 32344. 26 What is the highest common factor of 620531362 and 3014? 3014 Calculate the highest common factor of 2853 and 360333. 9 Calculate the greatest common factor of 63865800 and 3600. 1800 What is the greatest common divisor of 7180 and 71428076? 1436 What is the highest common divisor of 3132026 and 2248? 562 Calculate the highest common divisor of 350 and 322240. 10 Calculate the highest common divisor of 33706493 and 2978. 1489 Calculate the greatest common divisor of 17124 and 542. 2 Calculate the greatest common divisor of 655081485 and 111. 111 What is the highest common factor of 3017178 and 477? 9 What is the greatest common factor of 268 and 171706126? 134 What is the highest common factor of 1045471 and 6524? 1631 Calculate the greatest common divisor of 25636996 and 1316. 1316 What is the greatest common divisor of 6077345 and 24185? 3455 What is the greatest common factor of 1818143782 and 532? 266 What is the greatest common factor of 18149805 and 1080? 135 What is the highest common factor of 753063 and 70184? 283 What is the greatest common divisor of 94 and 82068674? 94 What is the highest common divisor of 274 and 170756? 2 Calculate the highest common divisor of 22 and 13683571. 11 What is the highest common divisor of 3181298 and 8181? 101 Calculate the highest common divisor of 8552907 and 5643. 1881 Calculate the highest common factor of 232754 and 68150. 58 What is the highest common factor of 77691018 and 3636? 606 Calculate the greatest common factor of 2688 and 27146112. 2688 Calculate the greatest common factor of 860 and 42783581. 43 What is the highest common divisor of 4912729 and 53? 53 What is the greatest common divisor of 2 and 32685826? 2 Calculate the highest common divisor of 776 and 18949629. 97 Calculate the greatest common divisor of 438060 and 14896. 196 Calculate the greatest common factor of 27685 and 245720986. 5537 What is the highest common divisor of 26 and 427758552? 26 Calculate the greatest common factor of 17108730 and 135. 45 Calculate the highest common divisor of 411700 and 72910. 230 Calculate the highest common divisor of 63678950 and 460. 230 What is the highest common divisor of 9929600 and 646280? 4280 What is the greatest common factor of 530 and 203620? 10 Calculate the highest common factor of 3560 and 23419015. 445 What is the highest common divisor of 139 and 1295375611? 139 What is the highest common divisor of 51 and 207352077? 51 What is the greatest common factor of 2905545 and 345? 15 Calculate the greatest common factor of 275 and 2094059. 11 What is the greatest common factor of 172 and 32551774? 86 Calculate the greatest common factor of 54366 and 224094. 1326 Calculate the highest common divisor of 4102 and 16869182. 586 Calculate the highest common factor of 2968 and 68841647. 371 What is the greatest common divisor of 2724 and 37001? 227 Calculate the highest common divisor of 2545668 and 2268. 324 What is the greatest common factor of 80285706 and 2802? 2802 What is the greatest common divisor of 27324 and 58508136? 2484 Calculate the greatest common divisor of 30 and 18569030. 10 Calculate the greatest common factor of 27698216 and 13. 13 Calculate the highest common factor of 340 and 2157436. 68 Calculate the highest common divisor of 719 and 4825209. 719 Calculate the greatest common divisor of 20856805 and 10. 5 What is the greatest common divisor of 174878 and 132? 22 Calculate the greatest common factor of 63792 and 2023624. 3544 Calculate the greatest common divisor of 963 and 4759574. 107 What is the greatest common divisor of 61 and 898017661? 61 Calculate the greatest common factor of 1102643978 and 1149. 383 Calculate the highest common factor of 4 and 111839100. 4 What is the greatest common divisor of 4088 and 160173096? 584 Calculate the highest common factor of 810 and 14709330. 270 Calculate the highest common factor of 1628700 and 90585. 915 What is the highest common factor of 1023106 and 224? 14 What is the greatest common factor of 49706 and 3406862? 58 Calculate the highest common factor of 468575388 and 1044. 1044 What is the highest common divisor of 1348155 and 3345? 15 Calculate the greatest common factor of 3356 and 9082175. 839 Calculate the greatest common divisor of 240 and 114678576. 48 Calculate the greatest common divisor of 2192 and 204702112. 2192 Calculate the highest common factor of 4648 and 39004024. 664 What is the greatest common factor of 1464384480 and 6? 6 What is the highest common divisor of 352 and 5633276? 44 What is the highest common factor of 58 and 15910647? 29 What is the highest common divisor of 4532465 and 161? 7 Calculate the greatest common factor of 3156 and 130. 2 What is the greatest common divisor of 175566 and 1888848? 6054 What is the highest common divisor of 4906 and 42427? 11 What is the greatest common divisor of 4374 and 652887? 27 What is the highest common factor of 14055240 and 696? 24 What is the highest common divisor of 6659260 and 3330? 370 What is the highest common factor of 214 and 952390? 2 Calculate the greatest common divisor of 664290 and 1251171. 549 Calculate the greatest common divisor of 420 and 515841060. 420 What is the greatest common divisor of 169908566 and 13674? 4558 What is the highest common divisor of 46283 and 150958723? 1493 Calculate the greatest common factor of 396820877 and 393. 131 Calculate the greatest common divisor of 43375 and 197375. 125 Calculate the greatest common factor of 83545 and 30535. 155 Calculate the greatest common divisor of 108726835 and 570. 95 Calculate the greatest common factor of 5157 and 27742941. 1719 Calculate the greatest common divisor of 101089323 and 27. 27 Calculate the highest common factor of 39100 and 27399716. 1564 Calculate the greatest common divisor of 88 and 521619208. 88 Calculate the highest common divisor of 215 and 4597345. 215 What is the highest common divisor of 2599 and 450524? 23 What is the highest common divisor of 160018794 and 1404? 702 What is the highest common factor of 31556949 and 2532? 633 Calculate the greatest common divisor of 22552189 and 1111. 1111 Calculate the greatest common divisor of 2533055 and 8440. 1055 What is the highest common factor of 2576 and 165649036? 644 What is the greatest common divisor of 469 and 71603168? 469 What is the highest common factor of 125477540 and 356? 356 What is the greatest common factor of 3858 and 161316483? 1929 Calculate the greatest common divisor of 301336 and 1000. 8 What is the highest common diviso
{ "pile_set_name": "DM Mathematics" }
10*p**s - 2*p**2 + 9*p**2. Let l be w(-1). What is the greatest common factor of l and 26? 13 Let u = 0 + 1. Suppose 5*j + 70 = 75. What is the greatest common divisor of u and j? 1 Let s be 2*-1*(-10)/10. What is the highest common divisor of s and 5? 1 Let z(n) be the first derivative of -n**2 + 22*n - 8. Let c be z(0). What is the greatest common divisor of c and 2? 2 Let j = 367 + -255. Let b = j + -55. What is the greatest common divisor of b and 19? 19 Let f(o) = 6*o**2 + 11*o + 25. Let w be f(-7). Let r be -1 - -1 - (-16 + -6). Calculate the greatest common factor of w and r. 22 Suppose 0 = 2*o - 9 - 3. Let x(h) = h**2 - h - 50. Let d be x(8). What is the highest common divisor of d and o? 6 Let q(k) = k + 1. Let w be q(3). Suppose -a = -2*a + 10. What is the greatest common divisor of a and w? 2 Let f be 5 - 1 - (-1)/(-1). Let h be (-4)/(-12) + 29/f. Calculate the greatest common divisor of 70 and h. 10 Suppose 51 = 3*v + 6. Calculate the highest common divisor of 15 and v. 15 Let p = 35 + -15. What is the highest common factor of p and 10? 10 Suppose 2*l = -5*k - 20 + 374, 0 = 2*k + 5*l - 129. Calculate the greatest common factor of 18 and k. 18 Let b = 58 + -22. Calculate the greatest common factor of 9 and b. 9 Suppose -4*l + l + 60 = 0. Let t = -1282 - -671. Let b = -391 - t. What is the greatest common divisor of b and l? 20 Suppose -6*d + 108 = -3*d. Calculate the greatest common divisor of d and 144. 36 Let m = 60 - 57. What is the highest common divisor of 6 and m? 3 Suppose 3*b + 0*h = -h + 336, 5*b - 4*h = 560. Let v(j) = -3*j**3 - j**2 + 3*j + 2. Let z be v(-2). What is the greatest common divisor of z and b? 16 Let h be -7*(4 - 2)*5/(-2). Calculate the greatest common divisor of 14 and h. 7 Let r be (-36)/(-2)*(-2)/(-4). Let t be (r/(-2))/(2/(-4)). Calculate the highest common divisor of 81 and t. 9 Let a = 1 - -85. Let o = -146 + a. Let d = o - -100. What is the highest common divisor of d and 8? 8 Let a(v) = v**3 + 47*v**2 + 40*v - 177. Let z be a(-46). Let j(x) = -x**3 + 6*x**2 - 4*x + 4. Let q be j(5). Calculate the greatest common divisor of z and q. 9 Let n(s) = s**3 - 10*s**2 + 11*s + 14. Let x be n(9). Calculate the greatest common factor of 48 and x. 16 Suppose r = -3*x + 2*r - 37, 2*x - 3*r + 13 = 0. Let k be (1 + -2)/(1/x). What is the highest common factor of 14 and k? 14 Suppose 5*h = 2*h - 138. Let o = -7 + 3. Let w be (-2)/o + h/(-4). What is the highest common factor of w and 108? 12 Suppose 12 = -5*f + 37. Let a(l) be the first derivative of -l**2/2 + 9*l + 3. Let z be a(4). What is the greatest common divisor of z and f? 5 Suppose -9*u = -13*u + 24. What is the highest common factor of 6 and u? 6 Let s = 118 + -3. Calculate the greatest common factor of s and 23. 23 Let w(z) = 10*z - 20. Let m be w(10). What is the highest common factor of 32 and m? 16 Let u = -6 + 51. Calculate the greatest common divisor of u and 45. 45 Let m = 21 - 14. Calculate the highest common divisor of 21 and m. 7 Let l be 6/(6/(-3)) + 5*9. What is the highest common factor of 42 and l? 42 Let i be 2/(-3) - (-5 - 34/6). What is the highest common factor of 10 and i? 10 Let n be 4 - (-4)/(-8)*2. What is the highest common divisor of 3 and n? 3 Suppose 0 = -4*v + v + 123. Let q = 140 - v. Calculate the greatest common factor of 9 and q. 9 Let c be 8/(-6)*(-9)/2. Let g(p) = -5*p + 7. Let o be g(-7). What is the highest common divisor of o and c? 6 Let t(v) = -5*v + 6. Let i(h) = h - 1. Let y(m) = 6*i(m) + t(m). Let j be y(2). Calculate the highest common factor of 22 and j. 2 Let n be (4 - 6)*(-27 + 5). Calculate the greatest common divisor of n and 11. 11 Let h = -6 + 10. Let n be (6 - h)/((-1)/(-9)). Calculate the highest common divisor of n and 2. 2 Let y = -474 - -686. Suppose 3*s - 4*j = -j + 120, j = -5*s + y. What is the greatest common factor of 14 and s? 14 Let g be 530/6 - (-1)/(-3). Calculate the greatest common factor of g and 11. 11 Let c = 47 - 40. What is the greatest common divisor of 63 and c? 7 Let v(d) = d**2 - d - 25. Let b(r) = -r**2 + r + 25. Let s(u) = -3*b(u) - 4*v(u). Let h be s(0). What is the greatest common divisor of 10 and h? 5 Suppose 0*o = -o + 5. Suppose -2 = -v + o*y + 2, -3*y = 3*v - 30. Calculate the highest common divisor of 36 and v. 9 Suppose -72 = 5*k + 5*b + 53, k - 5*b + 55 = 0. Let o = k + 42. Let i be 42/4*8/1. What is the greatest common divisor of i and o? 12 Let u be 57*((-8)/(-12))/1. What is the greatest common divisor of 76 and u? 38 Let i(o) = -4*o - 8. Let y be i(-3). Suppose 5*s = 2*s + 3*c - 87, -c - 133 = 5*s. Let x = s + 47. Calculate the highest common factor of y and x. 4 Suppose -6*v + 9*v = 12. Calculate the highest common divisor of v and 2. 2 Let b be (-3 - 21/(-6))*18. What is the greatest common divisor of b and 27? 9 Let b(c) = 38*c**2 - 4*c - 3. Let x be b(-1). Calculate the greatest common factor of 13 and x. 13 Suppose -2*b = -6*b + 32. Let r be (8*4)/(1 + 0). Calculate the highest common factor of b and r. 8 Let u = 17 + -13. Calculate the highest common factor of 32 and u. 4 Let f be (-2)/(-1*(-5)/(-45)). Calculate the greatest common divisor of f and 12. 6 Let i = -6 - -20. What is the greatest common factor of 42 and i? 14 Let g = -22 + 48. What is the highest common divisor of g and 39? 13 Let y be 5*(12/(-5))/(-2). Suppose 0*x = 2*x, -2*l = 4*x - 60. What is the greatest common factor of l and y? 6 Suppose 2*s = -2 + 10. Let u = s - -2. Calculate the highest common divisor of 2 and u. 2 Let q be (-2)/6 - 14/(-6). Let a = 26 + -20. Suppose -11*h + a*h = -15. What is the highest common factor of q and h? 1 Suppose -2 = -4*r + 18. Let q be 6/r*(-15)/(-2). What is the greatest common factor of q and 3? 3 Let r(m) = m - 1. Let b be r(0). Let w = b - -5. Suppose 4*c - 171 = -l, l - 6*l = 25. Calculate the highest common divisor of c and w. 4 Suppose 3*n - n = 12. Suppose m + n = 2*m. Calculate the greatest common divisor of m and 30. 6 Let l = 24 - 9. Let y = 3 + 1. Let f be 239/y + (-1)/(-4). Calculate the highest common factor of l and f. 15 Let k(r) = -r**2 + 8*r - 5. Let j be k(3). What is the highest common divisor of 30 and j? 10 Let a be 99/24 + 1/(-8). Calculate the greatest common factor of 12 and a. 4 Let h = 7 + 3. Calculate the highest common factor of h and 110. 10 Suppose 4*t + 28 = 4. Let b be (-136)/(-3) + t/18. Let v(h) = h**3 + 2*h - 3. Let d be v(3). What is the highest common factor of d and b? 15 Suppose -20 = -3*d + s + 14, 0 = -d - 5*s + 22. Suppose 5*g = 2*g. Suppose g = -0*y - 3*y + 288. What is the greatest common factor of y and d? 12 Let s be (-344 - 1)*1/(-3). What is the highest common factor of s and 46? 23 Suppose 2*y = -7 + 23. What is the greatest common divisor of 88 and y? 8 Let x(w) = w**2 - w + 5. Let l be x(4). Suppose 0 = 4*z + 2*h - 16, 3*h = 2*h + 2. Suppose -5*b = -z*b - 102. What is the highest common factor of b and l? 17 Let v = -10 + 20. Let o(i) = -i**2 - 17*i. Let m be o(-10). What is the greatest common factor of v and m? 10 Suppose 8 + 0 = 2*q. Let f be q/(-22) + 79/11. What is the highest common factor of 63 and f? 7 Let h = -60 + 76. What is the greatest common divisor of h and 32? 16 Let z(p) = p**3 - 3*p**2 - 2*p - 8. Suppose -4*k + 9 = -15. Let q be z(k). What is the greatest common factor of 8 and q? 8 Let j(h) = h + 12. Let y be j(-11). Let p be (y + -2)/((-3)/27). What is the highest common divisor of p and 54? 9 Let o(c) = -7*c + 2. Let w be o(-3). Let l(m) = -18*m - 39. Let v be l(-6). What is the greatest common factor of w and v? 23 Suppose -735 = -7*j + 2*j + 3*i, -3*j + 445 = -i. Calculate the greatest common divisor of j and 60. 30 Suppose 6 = 2*s - 0*s. Let x(g) = -g - g - 5*g**s + 4*g**3. Let n be x(-3). What is the greatest common factor of 22 and n? 11 Let u be 0 - 1 - (-4 + 4). Let p be (26/4)/(u/(-2)). Let w = -2 + p. What is the highest common divisor of w and 44? 11 Suppose -4*z + 32 = -5*l, z - 5 = -5*l - 22. Let k be (z/9)/(1/3). Let o be 0/(k - -2) - -12. Calculate the greatest common divisor of o and 36. 12 Let z be -2*(-2)/(-4)*-3. Let r(p) = -p**2 - 2*p - 4. Let m be r(z). Let w = -1 - m. Calculate the greatest common factor of w and 6. 6 Suppose -3*s + 4 = -11. Let f = -201 + 91. L
{ "pile_set_name": "DM Mathematics" }
= -33 - -16. Let w = -1758.0013 - -1775. Let d = s + w. What is d rounded to three decimal places? -0.001 Let q = -97.3 - -97.3000408. What is q rounded to five dps? 0.00004 Suppose -5*p - 2*o + 20310 = -6*o, 0 = o. Round p to the nearest one hundred. 4100 Let i = -455.999996055 + 456. What is i rounded to six dps? 0.000004 Suppose 2*j - 127204 = i, 3*i - 20*j = -21*j - 381598. What is i rounded to the nearest 1000? -127000 Let g = 31 - 31. Suppose -2*b + c + 5 = -g*b, -3*b + 3*c = -15. Suppose 0 = -4*h + x - 717, -h + b*h - 177 = -x. Round h to the nearest one hundred. -200 Let i = 2271778 - 1274695. Suppose 5*s + 2*a = -2900004, -5*s + 3*a - 1902911 = i. Round s to the nearest one hundred thousand. -600000 Let a = 1.13 + -1.2. Let c = -2.6182 - -2.683. Let u = a + c. What is u rounded to three decimal places? -0.005 Let f = 1615 - 1614.99996265. Round f to 5 dps. 0.00004 Let d = -58839673 + 89247959. Let f = -30408294.0000005 + d. Let t = f + 8. What is t rounded to 6 dps? -0.000001 Let g = -0.119 - -0.039. Let l = g - 0.032. Round l to 2 dps. -0.11 Let s = 1836 + -1840.498. Let a = 4.08 + s. What is a rounded to 1 dp? -0.4 Let h = 3203335801072963 - 3203335920065727.99999805. Let b = -118992750 - h. Let j = b - 15. Round j to seven decimal places. -0.000002 Let m = -5789643.800315 - -5789630. Let d = 13.8 + m. What is d rounded to 5 decimal places? -0.00032 Let g = 1529.71740008 + -1528.9274. Let m = 0.79 - g. Round m to seven decimal places. -0.0000001 Let d = -951 + 942.7. Let t = 70647.29852 + -70639. Let r = t + d. Round r to 4 dps. -0.0015 Let p = -188 - -187.23. Let q = p - -0.770167. What is q rounded to 5 decimal places? 0.00017 Suppose 0 = -5*a - 7663061 + 29648686. Let t = a + 5802875. Round t to the nearest 1000000. 10000000 Let i = 2446100 - 827529. Suppose 5*r - 981429 - i = 0. Round r to the nearest one hundred thousand. 500000 Let t = 0.6918 - 0.2303. Let x = t - 0.47. Round x to 3 dps. -0.009 Let a(z) = z + 1. Let o(r) = -227990*r + 10. Let j(u) = -10*a(u) + o(u). Let i be j(-5). Round i to the nearest 100000. 1100000 Let g = 12060 + -12149.552. Let n = g - -89. Round n to 2 dps. -0.55 Let p(l) = l**3 + 9*l**2 - 10*l + 5. Let b be p(-10). Suppose -5*h + 5*g - 804 = 189171, b*g = -4*h - 152025. Round h to the nearest ten thousand. -40000 Let z = -70 - -48. Let w = z + 21.2. Let k = w - -0.79999954. Round k to seven dps. -0.0000005 Suppose -10363 + 27955 = 12*r. Let i(n) = 128*n - 2. Let a be i(6). Let y = r - a. Round y to the nearest one thousand. 1000 Let y = -18.463 + -0.237. Let b = -20.9 + 1.9. Let g = b - y. Round g to one decimal place. -0.3 Let y = -1070935 - -283835. Round y to the nearest one hundred thousand. -800000 Let c = 708413 - 347274. Suppose -78861 = -v + c. What is v rounded to the nearest 100000? 400000 Let q = -48.8 - -48.80416. What is q rounded to four decimal places? 0.0042 Let f = 2245 - 2345.1. Let v = 100.099999066 + f. Round v to 7 dps. -0.0000009 Let b = -70834 - -531452. Suppose 0 = 2*o + b + 619382. Round o to the nearest 100000. -500000 Let s = -3278.32911 + 3107.33. Let h = 400 - 229. Let i = s + h. Round i to 4 decimal places. 0.0009 Let y = 214.22 + -212. What is y rounded to zero decimal places? 2 Let p = -0.2028312 - -991228.2028312. Let v = p - 991209.00044. Let m = -19 + v. What is m rounded to 4 decimal places? -0.0004 Let f = 26.51 + 1.79. Let d = f - 26. Let h = 2.326 - d. Round h to two dps. 0.03 Let p = 30.5999998142 - 30.6. Round p to seven dps. -0.0000002 Let l = 6.72 - -8.288. Let s = -15 + l. Let f = -0.171 - s. Round f to two dps. -0.18 Let z = -262.4 - -262.4006455. What is z rounded to 5 decimal places? 0.00065 Let s = 78.26 - 79. Let t = 0.7575 + s. What is t rounded to three dps? 0.018 Let s(o) = 2*o - 3. Let r be s(5). Let p = r + -2. Suppose -p*i = 5 - 35. What is i rounded to the nearest ten? 10 Let m = 0.01 + -0.06. Let f = 9.95 - m. Let p = 10.032 - f. What is p rounded to 2 decimal places? 0.03 Let q = -277.9648 + -0.0352. Let y = -278.00000508 - q. What is y rounded to six dps? -0.000005 Let t = -305.26 + 439.65. Let u = 135 - t. Round u to 1 dp. 0.6 Let l = 121.999624 - 122. What is l rounded to 4 dps? -0.0004 Let i = 83 - 82.67. Let p = -766 + 765.73. Let n = i + p. What is n rounded to one dp? 0.1 Let a = 67443.396 + -67443.81199831. Let w = a - -0.416. What is w rounded to 7 dps? 0.0000017 Suppose 0*w + 4*w - 378 = f, -4*w + 372 = -4*f. Let c = 905 + w. What is c rounded to the nearest ten thousand? 0 Let p = -377070.00900232 - -377046.009. Let v = 24 + p. What is v rounded to seven dps? -0.0000023 Let y(b) = 3*b + 3. Let r(m) = 1. Let g(i) = -3*r(i) - y(i). Let s be g(-3). Let v be (-20)/(s*(-3)/19350). What is v rounded to the nearest ten thousand? 40000 Let w = -1068278 + -3211722. Round w to the nearest 100000. -4300000 Let z = -1.670000123 + 1.67. Round z to 7 dps. -0.0000001 Let s = -9301 - -13798. Let u(x) = -x**3 - 5*x**2 - 2*x - 6. Let v be u(-5). Suppose 3*y = -4*f + 3*f - s, f = v*y - 4504. Round f to the nearest 1000. -5000 Let j = -69.66 - -70. Let r = -4.99 + j. What is r rounded to 0 decimal places? -5 Suppose -14*y = -16*y. Let d be 1 - (y/4 - 1). Suppose -2*u - 123 = l + 31, -u = -d*l - 303. Round l to the nearest ten. -150 Suppose 3*x + 26618 = -4*n, -2*n - 2 = 2. Round x to the nearest 1000. -9000 Let a = -23 - -22.982. Let h = 0.0179989 + a. Round h to 6 dps. -0.000001 Let i(c) = -1. Let h(q) = -2*q + 11. Let x(f) = h(f) + 6*i(f). Let m be x(4). Let g be m + -43*(16283 + -4). What is g rounded to the nearest 100000? -700000 Let c = 24.600000138 + -24.6. What is c rounded to 6 decimal places? 0 Let l = 0.02 + 11.98. Let m = l - 11.935. Let d = m - -1.075. Round d to 1 decimal place. 1.1 Let n = -173.0000552 - -173. Round n to 5 decimal places. -0.00006 Suppose 0 = -5*a + a, -4*h = -a - 16. Suppose -m + h*m + 65178 = 0. Let f = 10726 + m. What is f rounded to the nearest ten thousand? -10000 Let v(h) = 284*h**2 - 4*h - 128. Let p be v(-21). Round p to the nearest one thousand. 125000 Let a = -65832 - -172982. Round a to the nearest 10000. 110000 Let m(i) = -9*i**2. Let p be m(-1). Let f = 11 + p. Suppose 3*d = -f*k - 740, -199 = 2*d - 4*k + 321. What is d rounded to the nearest 100? -300 Let s(y) = -4*y + 4. Let v be s(-2). Let a be v/(-2 - 2) + 3. Suppose -5*n + 1338 - 9088 = a. What is n rounded to the nearest one hundred? -1600 Let l be (3/(-5) - -2)*5. Suppose -d + 153 = -l. Round d to the nearest 100. 200 Let y = -14 + 14.255. Let u = 31.845 + y. What is u rounded to 0 decimal places? 32 Suppose -2*m = i + 7, -3*i = 5*m - 0*i + 15. Let r = m - -12. Let z be (-3 + -12297)*8/r. What is z rounded to the nearest 1000? -16000 Let y = 121 + -111. Let p be (-10)/(-25) - ((-1236)/y - -2). What is p rounded to the nearest ten? 120 Let m = -100081.083 - -99937. Let g = -18.9 - 125.1. Let j = g - m. What is j rounded to 2 decimal places? 0.08 Let k = -0.6 + -27.4. Let c = 34.8 + k. Round c to the nearest integer. 7 Let b = 2692007 + 227993. What is b rounded to the nearest one hundred thousand? 2900000 Let w = 216.9998448 + -217. What is w rounded to 5 decimal places? -0.00016 Suppose -6*u + 5100000 = -16*u. What is u rounded to the nearest 100000? -500000 Suppose 5*a + 116 = 3*q - 339, q - 3*a = 153. Suppose -4*n - q = n. Let f be 12/n + (-26)/10. What is f rounded to the nearest integer? -3 Let m be 2/15 - (33426000080/75)/8. What is m rounded to the nearest 1000000? -56000000 Let p = 185.630100702 - -0.369885598. Let h = 186 - p. Round h to 6 decimal places. 0.000014 Let k(o) = -482*o - 441. Let s be k(14). What is s rounded to the nearest 1000? -7000 Let j be (-5)/(-2)*42*(-1)/(-5). Let d(t) = -1437*t**3 + 20*t**2 - 34*t - 49. Let i be d(j). What is i rounded to the nearest one million? -13000000 Let q = 199.336 - 200. Let r = q + 0.004. What is r rounded to one decimal place? -0.7 Let q = 787 - 786.99167. What is q rounded to 4 dps? 0.0083 Let z = -1953.9 + 1953.899991371. What is z rounded to 6 dps? -0.000009 Let x = -1.068 + 1.0678418. Round x to 5 dps. -0.00016 Let l = 27.2 - 27.514. Let x = 0.313999574 + l. What is x rounded to 7 dps? -0.0000004 Let q = 105.000000832 + -105. Round q to seven decimal places. 0.0000008 Let z = -2251 + 225
{ "pile_set_name": "DM Mathematics" }
ose 3*a + i*a = 0. Solve a = s - 2*b - 15, -8*b - 50 = -5*s - 3*b for s. 5 Let l(g) = -g**2 + g + 5. Let z be l(0). Let s(x) = x - 3. Let n be s(z). Solve -3 = -3*a - 3*j, -5*a + 0*a - n*j = -5 for a. 1 Let p = 5 + -7. Let c be ((-3)/(-4))/(p/(-16)). Let d(q) = -q**3 - 10*q**2 + q + 12. Let k be d(-10). Solve z + k*z + c = -x, 2*x = -5*z - 9 for x. 3 Suppose -4*a - 25 = -9*a. Suppose -u + i - a*i + 13 = 0, -4*u - i + 22 = 0. Solve -3*l + 3*n = 0, -l + 14 = l + u*n for l. 2 Suppose -5*l - 9 = -5*x + 6, -5*l - 5*x = 15. Suppose 0 - 9 = -3*b. Let c be 5 - (3 + b + l). Solve 5*j - c*j = a + 5, -2*a = 2*j + 2 for a. -2 Let x = 0 - 1. Let s be (x/(-2))/((-1)/(-32)). Suppose -2*p - 46 = -4*l, -5*p - 19 = -6*l + 4*l. Solve -l = -3*z - 3*b, 4*z + z + s = 4*b for z. 0 Let t(u) = -u**2 - 3*u + 2. Let z be t(-3). Suppose 4*c = 3*c + z. Solve 0 = -2*p - 2*k - c*k - 6, -2*p + 3 = k for p. 3 Suppose 3*n - 1 = a, -2*a + n = -7*a + 27. Solve 0*y - a*s = -3*y - 14, 3*s - 3 = 0 for y. -3 Suppose 2*x - 3*x = 0. Let o be (0 + x)/(1 + 1). Solve 3*s + v - 14 = o, s + 14 = 6*s - 3*v for s. 4 Let d be (-2)/(-1) - (-2 - 4/4). Solve -4*c = -0*c - 4, -r = c - d for r. 4 Let q = 17 + 3. Suppose 0 = -5*o - 25, -5*d - 3 - 2 = -o. Let k be (1/d)/((-2)/q). Solve k*a = 4*m + 5, 3*m = -0*a + 5*a for m. -5 Let w = 1 + -6. Let i = w - -7. Suppose -4*c + 19 = 3*h - 0*h, 0 = 3*c - i*h - 10. Solve 5*b + c*v = -0*v - 9, b + 5*v - 15 = 0 for b. -5 Let l = -9 + 17. Solve u + 2*u - 27 = -3*k, 0 = -4*k + 3*u + l for k. 5 Let t(n) = -n**2 - 10*n - 7. Let u be t(-9). Solve 2*x + 2*c = 8, 3*c = 5*x + u*c - 8 for x. 2 Suppose 3*d - 3 = 2*w - 5, -3*w + 5*d = -2. Solve 5*b + w*u = -13, -2*b - 3 = 3*b - u for b. -1 Let y = 1 + -4. Let u(k) = -k**2 - 3*k + 2. Let t be u(y). Solve -3 = 2*s - 5*d, -3 + 0 = -5*s + t*d for s. 1 Let d = -11 + 11. Suppose -2*r + d = -4. Solve 0*z + 4*z = 3*b - 4, -r*z = -3*b - 4 for z. -4 Let q(s) = 4*s + 15. Let n be q(0). Solve 0 = 5*m + x + 12, -4*m + 3*x = n + 6 for m. -3 Suppose -3*c - 8 = -7*c. Suppose -4*n - 2 = -2*r, -r - c*n = 2*n - 13. Solve 4*p - 5*t + 17 = -0*p, 0 = p - r*t + 8 for p. -3 Let w be (-4)/(-10)*5 + 3. Solve -w*g = 4*a + 23, -4*g + 2 = 5*a + 24 for a. -2 Let l(c) = -c**2 + 12*c + 17. Let f be l(13). Solve -3*u = -f*g - 7, g - 3*u - 8 = u for g. -4 Let v = 8 + 0. Let q(h) = 13*h**3 + 2*h**2 - 1. Let i be q(1). Solve 5*n + 2*l + i = 0, -5*l - v = -n - 0*l for n. -2 Suppose -8*s + 6*s = -18. Solve 4*d - y - s = 0, -3*d - 3*y = 2*d + 10 for d. 1 Let q be (-12)/15 + 12/(-10). Let d be (-4 - 1)*q/5. Solve -37 = -4*f + 5*g, f + 4 + 3 = -d*g for f. 3 Let b(a) = a**3 + 3. Let u be b(0). Solve -9 = u*p + 3*t, p - 2*p + 3*t - 11 = 0 for p. -5 Let w be 3 + -1 + 11/1. Solve h + 5*i - w = 2*h, 6 = 2*i for h. 2 Suppose -3*a + 2 = -5*v - 1, -4*v - 5*a + 5 = 0. Solve 0 = 2*q - k - 11, v = 4*q + k - 0*k - 7 for q. 3 Let j = 10 - 4. Solve 5*g + 13 = 4*b, -2*g - b = -j*g - 17 for g. -5 Let z be 8/28 + 122/14. Suppose 4*w = 3*s + 16, 0 = -4*s + w - 14 - 3. Let f be 5 - (-1 - 1 - s). Solve -f*y - z = -2*a, 2*a = -y + 3*a - 3 for y. -3 Let p = 0 - -2. Let v be (-68)/(-18) - (-6)/27. Suppose -2*y - 3*s = 2, -v*s + 1 - 5 = 2*y. Solve 0 = -y*u - 8, -4*g + 6 = -p*u - 22 for g. 5 Let s(j) = j - 4. Let x be s(9). Let h be (-7 + x)*(-1 - 0). Suppose -8 = -h*m - d + 3*d, -19 = -3*m - 4*d. Solve -24 = m*g + t, -g - 24 = 7*t - 2*t for g. -4 Let l be (-41)/(-5) - (-4)/(-20). Suppose -3*t - 4*a + 8 = 0, 5*t - 10 = -2*a - 3*a. Solve -l = 4*j - 0, k - j = t for k. -2 Suppose 6*a = 11*a - 10. Let i(j) = 0*j**3 - j - 2 + 17 - j**2 + j**3. Let c be i(0). Solve -2*b + 7*b = 5*f - c, 5*f = -a*b + 22 for b. 1 Suppose 0 = -6*u + u + 10. Let v(o) = 0*o + o + 2*o - u*o. Let t be v(3). Solve 5*g - 4*p = -13, t*p = -2*g + 6*p - 8 for g. -1 Suppose d = -d + 10, -d + 1 = -2*w. Let p = 0 + w. Let h be 0/(-1*p*-1). Solve -3*b + 3*z + 15 = h, -b + 2 = b + 2*z for b. 3 Let b = 19 + -6. Let n = b + 4. Solve 0 = k + 4*m - n, -5*k = 2*m - 23 - 8 for k. 5 Suppose 2 = 4*p + 2. Solve 5*c = c - m - 9, 3*c + 3*m + 18 = p for c. -1 Suppose -3*q - 72 = -3*n, -n - 4*n + 134 = 2*q. Suppose 0 = -p - p + n. Solve -7*s + 3*s + 36 = -4*v, -2*s + v = -p for s. 4 Suppose -9 = -4*m - y, -5*m = -8*y + 4*y + 15. Solve -i = 2*q - 1, -2*i - 3 = 2*q + m for q. 3 Let z(q) = -q**3 - 7*q**2 + 16*q - 15. Let d be z(-9). Let j = 0 + 6. Suppose -j*w = -w - 10. Solve 0*f + d*f + h - 5 = 0, 5*h = -w*f - 14 for f. 3 Suppose 0*c - c = -4. Suppose -4*u + 5 = -5*r, 3*u - c*r - 1 - 3 = 0. Suppose u = 3*z - 8 - 7. Solve -5*a - i - 2*i + 40 = 0, -z*a + 35 = 2*i for a. 5 Suppose -2 = -2*h + z + z, -5*h - 15 = 5*z. Let q = h + 5. Solve 4*i + 6 = -v, i = 2*v - q*i - 14 for v. 2 Suppose 0 + 6 = -2*c. Let m be (4 + c)/(2/(-6)). Let k = m - -5. Solve -k = -4*i - 3*w + 2, -4*i - 5*w = -4 for i. 1 Suppose 3*a - 4*o = -9*o + 40, 5*a + o = 30. Solve a*m - g + 4*g + 16 = 0, -3*m - 5*g = 0 for m. -5 Suppose -5*l + 3*l = -2. Let j be l - (1 + 2) - 1. Let a = 1 - j. Solve p - 4*p - a*w = 0, -2*w = -3*p + 18 for p. 4 Let c(z) = z**2 + 4*z + 6. Let l(f) = f**2 + 7*f + 1. Let y be l(-6). Let k be c(y). Solve -2*n - 4*a + 10 = 0, -2*n + 0*n = 5*a - k for n. 3 Let p = 18 + -8. Suppose 0 = 5*k - 3*d - p, -5*k + 0*k + d = -10. Suppose k*r = -6*h + 3*h, -4*h = -r. Solve j - 5*s + 0*s = -19, r = 2*j + 4*s - 18 for j. 1 Let v(a) = a**3 + 4*a**2 - 2*a - 1. Let m be v(-4). Suppose -3*s + 27 = 3*l, 5*s - l - 37 = -4*l. Solve 4*q = s*z + 17, -z - q = -0*z + m for z. -5 Let k(u) = -u - 5. Let r be k(-8). Suppose 6 = 4*d - 6. Let l = r - d. Solve 11 + 0 = 5*p - v, l = -v + 4 for p. 3 Let d(t) = -t**2 - 4*t + 5. Let c be d(-4). Let n be 8/12 - (-7)/3. Let p be (2/n)/((-6)/(-18)). Solve p*x = -2*b + 3*x - 5, -3*b = c*x + 14 for b. -3 Let u = -137 - -137. Solve u = k - 5*c + 19, 5 = 3*c - 4 for k. -4 Let v = 8 - 5. Let z be (6*(-2 + v))/2. Solve -z*s - 4 = -2*l + 3, 3 = 3*s + 3*l for s. -1 Let m(j) = j**2 + 6*j + 1. Let z be m(-7). Let t(r) = r - 5. Let g be t(z). Solve -4*d + 2*l - 6*l = 16, -d - g*l - 4 = 0 for d. -4 Let t(c) = 5*c**2 - c - 1. Let j be t(-1). Let z be 66/8 - (-2)/(-8). Solve 2*u = 2*r + z, u + j*r - 3 = 7 for u. 5 Let g(s) = -5*s**3. Let d be g(-1). Suppose 0 = -4*a + u + 20, 4 = -4*a - 7*u + 2*u. Solve l + 13 = -d*h, -a*h - 23 = -0*l + 5*l for l. -3 Let s be (-2)/(-7) + 33/7. Solve s*h - 2*w = -6, -2*h + 4*w + 0 = -4 for h. -2 Let u(x) = -x**2 - 7*x - 3. Let r be u(-6). Suppose -r*y = -4*a + 4, 2*y - a - 1 = -2. Solve 0 = -3*m - b - 2*b - 3, y = -3*m + 5*b - 3 for m. -1 Suppose v - 4 = -0. Solve 5*l + 3 = -0*p - v*p, -4*p - 3*l - 5 = 0 for p. -2 Let c = 88 + -30. Let r be c/8 + 8/(-32). Suppose -4*m + r = -13. Solve 5*n + 26 = -4*g - m, -10 = 4*g - 2*n for g. -4 Let f(d) = -d**2 + 9*d - 2. Let j be f(7). Solve -2*w + 2 = z, -z + 2*z + j = 5*w for w. 2 Suppose 2*p + 3*j = 2*j + 4, 0 = 5*p + 2*j - 10. Solve -2*u - p*s + 0*s = 0, -3*u - 4*s = 5 for u. 5 Let a be 3 - 2 - 1*-2. Suppose -t + 2 = -a. Let d be 7/(-49) - 85/(-7). Solve -l = b, -t*l - 8 = d for b. 4 Let m be (-44)/11 - (1 + -8). Solve m*f - x + 6 = 3, 0 = 3*f + x + 9 for f. -2 Let x(g) = g - 3. Let n be x(7). Let d = 0 + n. Suppose 5*h + k + 1 = -3*k, 3*h - 25 = 4*k. Solve 9 = -u + d*j - 0, h*j = 5*u + 28 for u. -5 Let x(a) = -3*a + 4*a + 0*a - 2. Let n be x(4). Suppose -10 = -2*h - 3*h. Solve 4*f - n*q + 16 = 0, -f + h*q - 4 = -2*q for f. -4 Let s be 23/7 + (-4)/14. Suppose s*n + 5*b = 5*n + 23, 4*b = -3*n. Let m(f) = 2*f**2 + 3*f. Let a be m(n). Solve 4*k - a = -5*h, 8 = 3*h - h - 4*k for h. 4 Let x be (198/27)/(-11)*-3*2. Solve 0 = -4*w + 2*t + 2, 0 = -2*w - 0*w + 2*t - x for w. 3 Suppose 4*o = -q - 12, q = -5*o + 2*q - 6. Let a be 0 - -1 - 2*o. Let x be (-4)/(-14) + (-24)/(-14). Solve 1 = -4*m - 2*y + a, -14 = -5*m + x*y for m. 2 Suppose -10 = 3*a + 5. Let i = 22 - 14. Let s = i + a. Solve 5*x - 3*z - s = 0, 3*x - 5*x - 3*z = -18 for x. 3 Suppose -4*o = -108 + 48. Solve u - 3*f = -o, -2*f = 3*u - 0*f + 1 for u. -3 Suppose -3*c = -8*c + 25. Suppose -2*r = -3 + 1. Suppose 4*w = c*i + r, 3*w - 2*w - 19 = -5*i. Solve -w*q + 2 = z + 6, 2*z + 3*q + 8 = 0 for z. -4 Let g(j) = -j - 10. Let l be g(-9). Let k be (-5 - -5)*l/(-1). Solve -u + 5*m - 10 - 10 = k, 0 = 3*u - 4*m + 16 for u. 0 Let u
{ "pile_set_name": "DM Mathematics" }
Suppose m + 4*d - 6 + 22 = 0, 2*m - 4*d - 16 = 0. Sort 1, w, m in ascending order. m, 1, w Suppose -12*t + 5*t - 7 = 0. Let s be (3 + -2)*t*(5 - 2). Put s, 2, 4, 5 in decreasing order. 5, 4, 2, s Let m(a) = -a**3 + 13*a**2 + a - 20. Let i be m(11). Let r = i - 247. Put -3, r, -2, 4 in decreasing order. 4, -2, -3, r Let j = -8222 + 8226. Let n = -18 + 20. Sort n, j, -1, 9 in descending order. 9, j, n, -1 Let g = -57 + 287/5. Let z be 2*1 + (-7 + 6)*(-4 + 3). Sort z, 4, -0.1, g in ascending order. -0.1, g, z, 4 Let r = 43318 - 43377.994. Let d = r + -0.006. Let z = d - -60.2. Put z, 3, 7, -3 in descending order. 7, 3, z, -3 Suppose -165*n + 458 = 128. Put -2, 3, -1, -18, n in decreasing order. 3, n, -1, -2, -18 Suppose -27 = l + 2*l. Let m(c) = c**3 + 9*c**2 + 5*c + 20. Let t be m(l). Let f = t + 22. Sort f, -4, -1. -4, f, -1 Let r(j) = -j + 1. Let d(t) = 17*t + 35. Let s(k) = d(k) - 2*r(k). Let a be s(-2). Put a, 0, 109, -3 in increasing order. a, -3, 0, 109 Let s = -147.41 + 148. Let i = -0.49 + s. Put -50, -3, i, -0.2 in ascending order. -50, -3, -0.2, i Let y = -23833/28 + 5967/7. Sort y, -29/3, -0.4, -4/3, 0.1 in descending order. y, 0.1, -0.4, -4/3, -29/3 Let o be ((-7)/(-1365)*-6)/((-7)/((-21)/2)). Put 2, 1/5, o in increasing order. o, 1/5, 2 Let x = -14 + 12. Let h = -0.18 - -0.28. Suppose -v = 3*v, 4*a + 2*v = 8. Sort 1/6, x, a, h in decreasing order. a, 1/6, h, x Let n = 3557 + -3552. Let o = -0.1 - -0.1. Let r = 6.18 + -0.18. Sort o, n, r in ascending order. o, n, r Let f be -1*(1 - -1)/2. Suppose -t = -2*d + 6 - 1, -4*t + 12 = 0. Let o be 12/(48/34) - (-10)/20 - 6. Sort o, 0, d, f. f, 0, o, d Let b = -1871.7 + 1872. Let o = -432 - -431.91. Sort b, -1, o, -2/19. -1, -2/19, o, b Let t be ((-21)/28)/((-3)/(-3 - (-1 - -1))). Let v = 193/4 + -48. Put t, 5, v, -2 in ascending order. -2, t, v, 5 Let y = 4.1 + -0.1. Suppose -6 = -15*a - 36. Let p(h) = 2*h**3 + 3*h**2 + 5*h + 9. Let t be p(a). Put 0.2, y, 0.04, t in ascending order. t, 0.04, 0.2, y Suppose -43 + 16 = -3*v - 3*b, -12 = 4*v - 2*b. Put -1, v, 58, -4 in increasing order. -4, -1, v, 58 Let b be (-36)/(-252) + 1398/14. Let m be b/75*((-34)/(-20) + -2). Let a be 2/(-14) + 2/7. Sort m, a, 0.4, 0 in descending order. 0.4, a, 0, m Let v = 756.857 + -756. Put 0.1, -0.3, v, 4, 0.5 in decreasing order. 4, v, 0.5, 0.1, -0.3 Let b = 9506.2 + -9506. Sort -3, b, -122, 3 in descending order. 3, b, -3, -122 Let c = -11440/51399 + 2/5711. Sort -0.1, c, 4/5 in descending order. 4/5, -0.1, c Let z = -115/53 - -177/106. Let w = -2 - 3. Let j be 30/8 - (-21)/(-28). Sort j, w, 0, z in descending order. j, 0, z, w Suppose 2*b - 34 = -2*l - 38, -l + 5*b - 14 = 0. Put l, 6, 1, -31, 4 in increasing order. -31, l, 1, 4, 6 Let u be (-3)/(6/(-4)) + -3. Suppose -6 = -4*l + 14. Suppose 2*k = l*j - j + 16, -4*j - 14 = -k. Sort 3, 1, j, u in descending order. 3, 1, u, j Suppose 0*y + y + 10 = 0. Suppose -171 = -12*f + 2*m - 45, -5*f = 3*m - 87. Put 1, y, f in descending order. f, 1, y Let f = -482 - -484. Let d(y) = 0*y - y - 3 + 4. Let u be d(-5). Put f, u, 4, -3 in descending order. u, 4, f, -3 Let t = 3042 - 3047. Put -0.3, t, -3/8, 9, -4 in ascending order. t, -4, -3/8, -0.3, 9 Let w = 8425 + -8402. Let o be (60/(-18))/(4/(-6)). Suppose 4*d + o + 11 = 0. Sort d, -3, w. d, -3, w Let h = 42.6 + -34.6. Sort -2/5, h, 2/3. -2/5, 2/3, h Suppose -2*i + 37*u + 68 = 33*u, -5*i = -2*u - 122. Sort 9, i, 1, 3, 0 in increasing order. 0, 1, 3, 9, i Suppose -22143*z = -22142*z - 15 - 2. Put 2, -5, z in descending order. z, 2, -5 Let h(l) = l**3 - 9*l**2 - l + 9. Let j be h(9). Suppose 2*o + 0*o + 8 = j. Suppose 5*f + 20 = 0, -3*x - 4*f = -7*f - 24. Put x, 5, o, -5 in decreasing order. 5, x, o, -5 Let k = -84.13 + 85. Let a = -374 + 375.17. Let x = a - k. Sort -2, x, -4 in descending order. x, -2, -4 Let d be (-6 - 84/(-15))/(90/25 - 4). Put 2/15, -0.03, 11, -2/3, d in increasing order. -2/3, -0.03, 2/15, d, 11 Suppose 38*s + 50*s = 42*s + 46. Put 0, -2, -235, s in descending order. s, 0, -2, -235 Let q = 16.5 + -14. Let k = q + -11.9. Let d = k - -9. Sort -5, d, 0.8 in decreasing order. 0.8, d, -5 Let a = 36.6 - 36.908. Let w = a - -0.408. Sort -1/7, -33, w in descending order. w, -1/7, -33 Let q = -0.2688 - 0.0312. Put q, 4, -1/3, -12 in descending order. 4, q, -1/3, -12 Let h(u) = 7*u - 137. Let c be h(20). Suppose -3*q = 12*a - 9*a + 132, -5*a = c*q + 138. Sort q, -5, -0.2, 3 in descending order. 3, -0.2, -5, q Let f(g) = -3*g - 10. Let d be f(-4). Suppose d*u - 3*u - 2 = 0. Suppose 15*w = -10*w - 125. Sort w, 4, 5, u in decreasing order. 5, 4, u, w Let o be -12 + (9 - (-7 + 13)). Let c be 1*((o/3)/3 - 1). Sort c, 5, -5/4, 5/3. c, -5/4, 5/3, 5 Let g = -6209 + 6250. Put -2, -2/9, -9, g in decreasing order. g, -2/9, -2, -9 Let y = -76 + 46. Let u = -67 - y. Let b = u - -36.8. Put b, 3/2, 3 in descending order. 3, 3/2, b Let v = -10 - -7. Suppose -4*d = 44, -33 = 441*a - 437*a + 3*d. Sort a, -1, -4, v. -4, v, -1, a Let h = 42 - 42.3. Let i = 0.03683 - 0.23683. Let w = -0.5 - 2.5. Put h, w, i in ascending order. w, h, i Suppose 29*n - 86*n = 13*n + 140. Sort 2, n, -1, 60. n, -1, 2, 60 Let v(s) = 6*s**2 - 83*s - 14. Let u be v(14). Sort u, 0.4, 4, -7 in ascending order. -7, u, 0.4, 4 Let h be (7/28)/((-3)/9). Put h, 69, 0 in ascending order. h, 0, 69 Let n = 993 + -949. Suppose 2*s - 3*b + n = 0, -36*b + 41*b = -4*s - 66. Let a(m) = -m - 1. Let g be a(1). Put 3, s, 2, g in decreasing order. 3, 2, g, s Let s = 1/3 + -1/21. Let d = 8261.2 - 8262. Put 0.5, d, s in descending order. 0.5, s, d Suppose 12*t - 10 = 7*t. Let l = t + 30. Let v be (3 - (-9)/(-6))/(12/l). Sort 3, -1, 2, v in descending order. v, 3, 2, -1 Let w(i) = -i**2 - 9*i - 15. Let g(l) = -4*l + 13. Let n be g(5). Let o be w(n). Let k be (1/o)/(2/(-2)). Put 0, -5, k in increasing order. -5, 0, k Let i(m) = 3*m**3 + 53*m**2 - 10*m + 139. Let q be i(-18). Put q, -6, 1/50, 2/9 in descending order. 2/9, 1/50, q, -6 Let y be 54/10 + -1 + -4. Let b = 4776 - 4781. Put -2/7, 3/4, y, b in decreasing order. 3/4, y, -2/7, b Let a = 24 + -14. Suppose 4*m + 13*p - 31 = 10*p, 0 = -5*m - 4*p + 40. Put a, m, -0.5, 2/9 in descending order. a, m, 2/9, -0.5 Let k = -489 + 311. Let d = 177.84 + k. Put 1, -0.3, 0.01, d in increasing order. -0.3, d, 0.01, 1 Suppose -2*c + s - 9 = 0, -3*c + 5*s = -0*s + 31. Suppose -1637*w + 30 = -1634*w + 5*x, 170 = 2*w - 5*x. Sort 0, c, w in descending order. w, 0, c Let g = 1557 + -1575. Suppose 4*z + 111 = -z - r, -113 = 5*z + 3*r. Let n = z - g. Sort n, 0, 1 in decreasing order. 1, 0, n Let w = 20542 - 20544. Let f be (-1 - 1) + 9/(-3). Put 0, w, 34, f in ascending order. f, w, 0, 34 Suppose 19*g + 36 = -67 - 49. Put g, -5, -154/5 in decreasing order. -5, g, -154/5 Let f be (-31 + 19485/630)*(-4)/(-3). Put 29, -0.04, f in descending order. 29, -0.04, f Let o be (-10 - -7) + -1 + 0. Suppose 10 = 5*a - 4*l, 5*l - 6 = -3*a - 0*l. Suppose -101*w + 47*w = 57*w + 111. Sort o, w, a, 0 in ascending order. o, w, 0, a Let b = -6 + 4. Let j be (-7)/(91/(-26)) - (6 - (-9 - -13)). Let g(c) = c**2 - 6*c - 3. Let p be g(6). Sort p, b, j, -0.2. p, b, -0.2, j Suppose 472*t - 519*t - 141 = 0. Let i be 0 + -3 - 8*1. Put i, t, 4 in increasing order. i, t, 4 Suppose -1 = -v + 3*u, 3*v - 4*u = -5*u - 57. Let i = -7 - -6. Let f be (-1 + 1)/(-1 + i). Sort f, 3, -2, v. v, -2, f, 3 Suppose -3*p - 18 = 2*s, -4*s + 12 = 31*p - 33*p. Sort -3, -69, 4, s. -69, -3, s, 4 Suppose 0 = -16*w + 174*w + 632. Put w, 0, -1, 133 in decreasing order. 133, 0, -1, w Suppose 0 = 2*w + 2*w + 40. Let s(o) = -o + 1. Let y be s(w). Let x = -2.89 - 1.11. Sort 4, y, x in increasing order. x, 4, y Let c = -2468 - -2463. Suppose -5*f = 4*i - 9, -2*i = 3*f + 2*i - 7. Sort f, -4, 4, c in decreasing order. 4, f, -4, c Let u be (32/(-14) - -2)/(-18 - 1397/(-77)). Sort u, -3/8, 18/113, -6 in increasing order. -6, u, -3/8, 18/113 Suppose -g - 4*q = -1, -20*g + 5*q - 8 = -19*g. Sort 4, 3, g, 5, -83 in decreasing order. 5, 4, 3, g, -83 Let d = 153785 - 153788. Let m be (-74)/(-14) + (-4)/14. Sort 7, m, d, 3 in decreasing order. 7, m, 3, d Let x be 2*((-462)/(-12))/(-11). Put -4, 13, x in decreasing order. 13, -4, x Suppose 5 = -2*a - u, 27 = 3*u + 36. Put -14, a, 0.11, -2/3 in descending order. 0.11, -
{ "pile_set_name": "DM Mathematics" }
+ 1 - 1)*(0*f**2 - f**2 - f**2). -257*f**2 - 2 Expand -1425*q - 4 + 1609*q - 3 + (2*q + 3*q - 6*q)*(-4 - 1 + 4) + 2*q - q + q. 187*q - 7 Expand (-4 + 5 + 1)*(889*o - 236 + 236 - 4928*o). -8078*o Expand l + 2*l**4 - l - 2*l**4 - 2*l**4 + 2*l**4 + 2*l**4 - 2*l**4 - 3*l**4 + (110 - 246 + 106)*(4*l**4 + 2*l**4 - 5*l**4). -33*l**4 Expand -4 + 4 - 3*a**2 + (-3 + 0 + 4)*(a**2 - 4*a**2 + a**2) - 6323 + 231*a**2 + 6323 + (2 + 0 - 4)*(2*a**2 - 3*a**2 + 3*a**2). 222*a**2 Expand ((-1 - 2 + 5)*(-y + 4*y + 0*y) - 450*y - 333*y + 100*y - 4*y + 2*y + 4*y)*(4*y**2 + 0*y**2 - 5*y**2). 675*y**3 Expand ((12 + 75 - 4)*(r + r + 3*r) + (-1 - 1 + 4)*(2*r + 0*r - 3*r))*(-3*r + 3*r - 2*r**3). -826*r**4 Expand (72*i**2 + 238*i - 238*i)*(-i + 0 + 0 + i - 3*i - 5*i + (2*i + 1 - 1)*(-5 + 3 + 4))*(21 - 21 + 16*i). -4608*i**4 Expand (14*j - 2*j - j)*(3*j - j - 4*j + (3 - 5 + 7)*(9*j + 72 - 72)). 473*j**2 Expand (-1374709*y**5 - 3 + 1374856*y**5 + 2)*(3 - 3 + 1). 147*y**5 - 1 Expand (96 + 26 + 79)*(0 + 0 - 2*i) + 4*i - i - 2*i - 343 + 40*i + 343. -361*i Expand (-f + 0*f + 0*f)*(3 + 0 - 2) + 567 - 40319*f - 10553*f - 281 - 286. -50873*f Expand (4*q**2 + 0*q**2 - 2*q**2)*(-141*q + 139*q - 2 - 21) - 18*q**3 - 13*q**3 + 10*q**3. -25*q**3 - 46*q**2 Expand 27 - 62*t**3 - 65*t**3 - t**2 - 18 - 14 + t**3 + t**3 - 3*t**3 + (-2 + 2*t**2 + 2)*(-2*t + 2*t + 2*t) - t**3 - t**3 + 3*t**3 - t**3 + t**2 - t**2. -124*t**3 - t**2 - 5 Expand (40*t**4 - 25*t**3 + 25*t**3)*(2 - 2 + 4 + 2 + 3 - 4 + (-1 + 3 - 3)*(4 - 3 - 3)). 280*t**4 Expand (3*c - 4*c + 3*c)*(-2 + 1 - 4)*(-5*c**3 - 6*c + 6*c)*(c - 1 + 1). 50*c**5 Expand (-42 + 109 - 69 + 32*p)*(-1 + 0*p + 0*p + p). 32*p**2 - 34*p + 2 Expand (-9 + 5 - 4)*(3*t - 2*t - 3*t + (2*t - 1 + 1)*(-4 + 2 + 1) - 4*t + 4*t - 2*t + (2 - 5 + 1)*(102*t + 649*t + 12*t)). 12256*t Expand (100 + 805 + 0*o + 122 - o)*(-1 + 2 - 3). 2*o - 2054 Expand (-15*o + 7*o + 25*o)*(-9*o + 6*o + 6*o)*(-4 + 2 + 4). 102*o**2 Expand (-16 - 2 + 3 - 10)*(-5*a + 21*a - 18*a). 50*a Expand (5*f + 0 + 2 - 2*f)*(f + f + 0*f + (0 + 1 + 2)*(-6515 - 82*f + 6515)). -732*f**2 - 488*f Expand 2*n**3 - 5*n**4 - 2*n**3 + (2 + n - 2)*(2*n**3 - 3*n**3 + 3*n**3) + 3*n**4 - 3*n**4 + n**4 + n**4 + 3*n**4 - 3*n**4 + 9*n**4 + 8*n**3 - 5*n**3 - 10*n**4. -2*n**4 + 3*n**3 Expand (-9293 + 9490 + 3927)*(2*m**5 + 0*m**4 + 0*m**4). 8248*m**5 Expand (0*t - 2*t + 4*t)*(0*t**2 - 1029 + 1029 - 181*t**3 + 2*t**2 - 110*t**3). -582*t**4 + 4*t**3 Expand v**5 - 4*v**5 + 0*v**5 + (16*v**4 + 2*v**4 - 4*v**4)*(0*v - v + 2*v) + (6*v**4 - 2*v**4 + 2*v**4)*(3 - 3 + 2*v) + v**5 + 2*v**2 - 2*v**2. 24*v**5 Expand -z**2 + 22764 + 36*z - 22764 + (2*z - 5*z + 5*z)*(-3*z + 0*z + 4*z) + 2*z - 2*z + z**2. 2*z**2 + 36*z Expand (0 - 2 + 0)*(4*m - 5*m - m) + 168*m + 8 + 63*m - 178*m. 57*m + 8 Expand (-2 + 2 + 2)*(-3 + 3 + o**2) + 9*o**2 - 5*o**2 - 11*o**2 + 170*o - 170*o - 8 + 13*o**2. 8*o**2 - 8 Expand (-2*x + x - x)*(2634*x - 581*x + 1464*x + 12434*x + 2728*x). -37358*x**2 Expand (1 - 9 - 3)*(6328 - 6328 - 66*m) + 6*m + 6*m - 2*m. 736*m Expand (s + 0 + 0 + (-5*s + 0*s + 2*s)*(-2 + 2 - 10) + 0 + 0 + s)*(1 - 9 + 1 + s). 32*s**2 - 224*s Expand (-2 + 1 + 2 + (1 + 3 - 2)*(0 + 4 + 10))*(6*v + 7*v - 7*v). 174*v Expand (-2*m**2 - 1 + 1)*(12*m - 12*m - 7*m**3) + 77*m**5 - 23*m**5 + 30*m**5. 98*m**5 Expand 15*b + 2*b**4 - 15*b + (4*b - 4*b - 2*b**2)*(2*b**2 + 1 - 1) + 0*b**4 + 7*b**4 + 14*b**4. 19*b**4 Expand (-4*v**2 - 5*v**2 + 0*v**2)*(0 - 8*v**2 + 0) + 0*v - 5*v**4 + 0*v + (-2*v - v + v)*(-v**3 + v**3 + 2*v**3) - v**4 + v**4 - v**4. 62*v**4 Expand (15*j - 72*j**2 - 15*j)*(-7 + 1 - 1) - 4*j**2 + 5*j - 5*j. 500*j**2 Expand (6 - 6 + 4)*(20335 - 10171 - 10165 + 3465*c). 13860*c - 4 Expand (2*n**2 - 2 + 2)*(-365*n - 289*n - 426*n)*(-1 + 1 - 5). 10800*n**3 Expand -8*b - 80*b**3 + 80*b**3 + 2*b**4 - b**4 + 0*b**4 - b**4 + (5*b - 8*b + 9*b)*(b + 2*b**3 - b). 12*b**4 - 8*b Expand 33 - 33 + 9*o**3 + (6*o - 2*o - 2*o)*(173*o**2 + 8877*o - 8877*o). 355*o**3 Expand (-3*f**2 + 2*f**2 - f + 3*f**2)*(16*f + 10*f + 2*f) - f**3 - 1 + 0*f**3 - f**3 + 14*f**3 - 7*f**3 - 4*f**3. 57*f**3 - 28*f**2 - 1 Expand (v + 0 + 0)*(0*v**3 - 10*v**3 + 0*v**3 + (3*v + 3*v + 3*v)*(5*v**2 - 4*v + 4*v)). 35*v**4 Expand (-1 - 1 - 2)*(-d**5 + 3*d**4 - 22*d**3 + 4*d**4 - 8*d**4) + d**5 + 3*d**5 + 2*d**5. 10*d**5 + 4*d**4 + 88*d**3 Expand (1523*r + 199*r - 166*r)*(5*r**3 - 5*r**3 + 2*r**4). 3112*r**5 Expand (-26*v + 7*v - 8*v)*(-39*v**3 - 48*v**3 + 23*v**3). 1728*v**4 Expand 2*h**5 - 6*h**5 + 2*h**5 + ((-2*h**2 + 3*h**2 - 2*h**2)*(-12*h**2 + 29*h**3 + 12*h**2) + (-1 + 0 + 3)*(-2*h**5 - h**5 + 0*h**5))*(59 - 20 - 24). -527*h**5 Expand (-1121 + 2327 - 161*r - 1189)*(-r + 4*r - 4*r). 161*r**2 - 17*r Expand -5*m + m - m + (22*m - 34*m - 21*m)*(-1 + 0 - 1). 61*m Expand (0*g**2 - 4*g**2 + 2*g**2)*(2*g + 0*g + 0*g) + 63*g**2 - 62*g**2 - 292*g**3 + g**2. -296*g**3 + 2*g**2 Expand 618*h**2 - 202*h**2 + 85*h**2 + (2*h + 3 + 1 - 6)*(-h + 2*h + 6*h). 515*h**2 - 14*h Expand (-3*g + 3*g - 2*g**2 - 2*g**2 + 4*g**2 - g**2 + (4 - 5 + 3)*(2*g**2 - 1 + 1))*((10 - 4 - 10)*(271 - 271 - 17*g) - g + 0*g + 2*g). 207*g**3 Expand -47*y + 47*y + 22*y**2 + 3*y**2 + 2*y - 2*y + (-y + y + y)*(14*y - 298 + 298) - 2*y - 2*y**2 + 2*y. 37*y**2 Expand (-1 + 4 - 1)*(-3*d**2 + 0*d**2 + 2*d**2) + 1 - 4683*d + 2470*d**2 + 9381*d - 4700*d. 2468*d**2 - 2*d + 1 Expand (0 + 2 + 0)*(5*l - 4*l - 3*l + (-2 - 3 + 1)*(-37*l + 113*l + 78*l)). -1236*l Expand ((-3 + 0 + 2)*(-1 + 2*u + 1) - u + u - u + (4*u - 5*u - u)*(-4 + 5 + 1) - 3*u - 5*u + 2*u + 2*u - 2*u - u)*(4*u - 87 + 169 - 87). -56*u**2 + 70*u Expand 5*r**3 + 2*r**3 - 2*r**3 + (-7*r**3 + 12*r**3 - 6*r**3)*(-16 - 5 + 5). 21*r**3 Expand 5*r**3 - 5*r**3 + 5*r**5 + (-r**5 - 2*r**5 + 4*r**5)*(-2 + 7 - 1). 9*r**5 Expand (-111 + 4*a + 111)*(-a - a + 0*a)*(52 + 55 - 109 + 27*a). -216*a**3 + 16*a**2 Expand 5*d**4 - 46*d**5 + 26*d**4 - 112*d**4 + (d**3 - 6*d**3 + 3*d**3)*(0*d**2 - 4*d**2 + 2*d**2). -42*d**5 - 81*d**4 Expand (157 + 47*j - 135 - 5*j**2 - 44*j)*(1 + 0 - 2 - 2*j). 10*j**3 - j**2 - 47*j - 22 Expand (10615*i - 2*i**2 + 0 - 1 - 10595*i)*(0 - 7 + 0). 14*i**2 - 140*i + 7 Expand (-410 + 410 + 24*a)*((-5*a + 2*a + 5*a)*(-1 + 1 - 2) + 0*a + 0*a + 2*a). -48*a**2 Expand (-a + 0*a + 0*a + (0*a - a + 0*a)*(-2 + 2 + 2) + 2*a - 2*a + a + a - a + a + 3*a - 2*a - 2*a + 3*a - a - 3*a + 128*a - 89 + 89)*(-6 + 5*a + 6). 625*a**2 Expand (3*a - 10*a + 0*a)*(a**2 + 2*a**2 - 2*a**2) - a**3 - 3*a**3 + 3*a**3 - 155*a**3 + 77*a**3 - 97*a**3. -183*a**3 Expand 16 - 16 - 9*m**2 + 2*m - 2*m - m**2 + (-1 + 1 - 1)*(-m + m**2 + m) - 4*m + 4*m - m**2 - 7*m**2 + 2 + 11*m + 13*m**2 - 11*m**2. -17*m**2 + 11*m + 2 Expand (-159 - 112 + 113)*(-7 + g + 2*g**2 - 3*g**2 + 3) - g**2 + 2*g**2 - 2*g**2 + (2*g**2 - g + g)*(-3 + 2 + 0). 155*g**2 - 158*g + 632 Expand ((-3*o**2 + 2*o**2 + 0*o**2)*(-1978 + 1978 + 35*o) + o**3 - 3*o + 3*o)*(o + 7*o - 18 + 17). -272*o**4 + 34*o**3 Expand (9*p + 36 - 36)*(1 - 1 - 2)*(-13 + 13 + 23*p). -414*p**2 Expand 5*b - 10*b - 4 + 7*b + (2*b + b + 0*b)*(1452 - 944 - 807). -895*b - 4 Expand (-34*i**3 + 108*i**2 - 108*i**2 + (-5*i + 3*i**2 + 5*i)*(-1 - 3 + 3)*(58*i - 38*i - 45*i))*(1 + 0 - 3)*(2 - 1 + 0). -82*i**3 Expand (-2*s**3 + 0*s**3 + 0*s**3)*(3 - 5 + 1) - 1134 + 1134 + 6238*s**3. 6240*s**3 Expand (4 - 1 - 2)*(-w + 0 + 0) - 15*w + 10*w + 9*w + 2*w - 3*w + 2*w + (-2*w + 3 - 3)*(-1 + 2 + 1) + 0*w + w + 3*w + (3 - 2 - 2)*(-1 + 1 - w) - 6*w - 16 + 16. -w Expand -8*w**3 - 15*w**3 + 15*w**3 + (-w + 2*w + 5*w)*(-5*w - 5*w**2 + 5*w) + 8*w**3 + 105*w - 105*w. -30*w**3 Expand (11 - 11 + 23*l)*(2 - 5 + 0) + 2*l - 4*l - l. -72*l Expand -v**4 - v**4 + 0*v**4 + (-4*v - 23 + 23)*(-6*v**3 + v**3 - 6*v**3) + (3*v - v**2 - 3*v)*(-v**2 + 3*v**2 + 0*v**2). 40*v**4 Expand (3*f - 5*f + 0*f)*(-6*f + 0*f + 4*f) + (-2906 + 58*f + 2906)*(2*f - f - 2*f)*(23 + 2 - 6). -1098*f**2 Expand (1 - 1 + 2)*(-4 + 4 + 2*w) + (0 + 0 + 2)*(-54183*w + 26126*w + 35745*w). 15380*w Expand 3*w**2 - 2*w**2 - 2*w**2 + 9 + 13*w**2 - 9 + 49*w**2 - 5*w**2 - 5*w**2 + (-2*w + 1 - 1)*(w - w + 2*w). 47*w**2 Expand ((0 - 4 + 2)*(0*r + 2*r - 3*r) - 822*r - 309 + 582 - 272)*(5 + 1 - 5). -820*r + 1 Expand 9981177*p**2 - 9981177*p**2 + 1175*p**5 + (-3*p - 4*p + 5*p)*(2*p**4 - 2*p**2 + 2*p**2) + 3*p**5 - p**5 - p**5. 1172*p**5 Expand (0*o -
{ "pile_set_name": "DM Mathematics" }
when j is divided by d? 4 Let n = 87 + 13. What is the remainder when n is divided by 51? 49 Suppose -o + 50 = 4*o. Suppose -o = -2*m + 2. What is the remainder when 10 is divided by m? 4 Suppose -3*w + 5*w = -48. Let x be -3 + 4/(12/9). Let n = x - w. What is the remainder when n is divided by 9? 6 Let l be 2*(-6)/(-4) - -124. Let n = 182 - l. Let a = -24 + n. Calculate the remainder when a is divided by 8. 7 Let n(r) be the first derivative of -r**2 - 3 - 2*r**2 - 1 + 4*r + 4*r**2. Calculate the remainder when 39 is divided by n(5). 11 Suppose -2*g + 5*f = -7*g + 60, 2*g = 3*f + 9. Let v = -137 - -97. Let b = -6 - v. What is the remainder when b is divided by g? 7 Suppose -56 = -60*b + 58*b. Let l(a) = a**3 - 4*a. What is the remainder when b is divided by l(3)? 13 Let b(v) = v - 1. Let n be b(6). Suppose c + c + 5*p - 125 = 0, -5*c + 290 = n*p. Let x = 63 + -44. Calculate the remainder when c is divided by x. 17 Let l = 55 + -37. Calculate the remainder when 70 is divided by l. 16 Suppose 2*g + 5*v - 272 = 122, 4*g - 824 = -v. Calculate the remainder when g is divided by 42. 39 Suppose 3*d + d = 20. Suppose -d*m + 265 = t, 0 = -6*m + m + 3*t + 245. What is the remainder when m is divided by 18? 16 Let u(l) = 7*l - 5*l**2 - 6 + l**3 - 1 + 1. Let b be u(4). Suppose 0 = 2*o - 14 - b. What is the remainder when 28 is divided by o? 8 Let s = -59 + 83. Suppose -5*p + 8*p - s = 0. Calculate the remainder when (-7)/((4 - 2)/(-4)) is divided by p. 6 Suppose -2*q + 69 - 21 = -4*h, -2*q + 3 = 5*h. Suppose -5*o + 3*o = -q. Let p(v) = v**3 + v**2 + v - 1. What is the remainder when p(2) is divided by o? 6 Let s = 6 - 4. Suppose 0 = s*w - 35 - 53. What is the remainder when w is divided by 12? 8 Let n(b) = b + 6. What is the remainder when 52 is divided by n(12)? 16 Suppose -p = 2*p - 12. Suppose 6 = -3*x + p*x. Let a = 2 - 0. What is the remainder when x is divided by a? 0 Suppose -501 = -5*r - 4*w, r - 43 - 74 = -5*w. Calculate the remainder when r is divided by 25. 22 Let v = 7 - 4. What is the remainder when 62/3 - (-1)/v is divided by 6? 3 Let a(y) = -9*y - 1. Let k be a(-1). Let m = -1 + k. Calculate the remainder when m is divided by 2. 1 Let s(t) = 2*t + 2. Calculate the remainder when s(12) is divided by 14. 12 Let s be -2*((-27)/6 - -2). Suppose 5*z = -o + 7 - 17, -4*z = s*o - 13. Calculate the remainder when 17 is divided by o. 2 Let f(q) = -q + 5. What is the remainder when f(-6) is divided by 7? 4 Suppose 14 = 9*s - 31. Let f(b) = 3 - 3*b**2 - 2 + 2*b + 1 + b**3. What is the remainder when s is divided by f(2)? 1 Calculate the remainder when 6 is divided by 1/2 + (-12)/(-8). 0 Suppose -9*w + 90 = 6*w. Calculate the remainder when 22 is divided by w. 4 Let s(g) = 2*g**2 - 5*g - 1. Let x = 14 - 9. Suppose -5*h + 90 = -0*p + 2*p, -3*p + 85 = x*h. What is the remainder when h is divided by s(4)? 9 Suppose 183 = 5*k + 2*v, -2*v - 51 - 46 = -3*k. Calculate the remainder when 102 is divided by k. 32 Suppose -14 - 96 = -5*h. What is the remainder when h is divided by 12? 10 Let q = -7 - -12. Let r(i) = -i**3 + 6*i**2 + 2*i + 6. Calculate the remainder when r(q) is divided by 14. 13 Suppose -2*b + 2*k - 6 + 2 = 0, -k + 6 = 3*b. Let h be b/(-2)*6 - 6. Calculate the remainder when 20 is divided by ((-6)/h + 3)*3. 9 Let b(f) = -61*f - f**3 + 7*f**2 + 61*f. Calculate the remainder when b(4) is divided by 17. 14 Suppose -3*j + 13 - 1 = -5*z, 0 = 2*z - 5*j + 20. Suppose -4*f + 80 + 8 = z. What is the remainder when 41 is divided by f? 19 Suppose 0 = 5*t - 4*f - 353, 5*t - 354 = -f + 14. Calculate the remainder when t is divided by (-1 - 4/(-6))/((-14)/798). 16 Let j be (14/7)/((-2)/31). Let i = j + 47. What is the remainder when 61 is divided by i? 13 Let j = 36 + -22. Calculate the remainder when j is divided by -1*2/(4/(-10)). 4 Calculate the remainder when 3/(-1*4/(-104)) is divided by 20. 18 What is the remainder when (-2 + 68/8)*6 is divided by 8? 7 Suppose j + 5*z = -18, 4*z + 0*z = -j - 14. Suppose 5*y + j - 22 = 0. Suppose 0 = y*m + 2 - 54. What is the remainder when 37 is divided by m? 11 Let c(u) = u**3 + 6*u**2 - 3*u - 5. Let r = 49 - 25. Calculate the remainder when r is divided by c(-6). 11 Let i(q) = -3*q**3 - 4*q - 5. What is the remainder when 80 is divided by i(-2)? 26 Let d(m) = m**2 + 8*m - 34. What is the remainder when 27 is divided by d(-12)? 13 Let z(f) = -f**3 + 6*f**2 + 5*f - 4. Let n be z(6). Suppose -5*r - 9 - n = 0. Calculate the remainder when ((r - -2) + 3)*-17 is divided by 9. 7 Let m = 15 + 155. Suppose 3*w = -2*w + m. Let u = 58 - w. Calculate the remainder when u is divided by 13. 11 Let a = 9 - 7. Suppose 2*t - 2*p - 44 = 0, -p + a*p - 113 = -4*t. Calculate the remainder when t is divided by 7. 6 Let y = 44 - 26. What is the remainder when y is divided by 5? 3 Let a be ((-9)/(-4))/(3/(-24)). Let v = 34 + a. Suppose 5*q - 3 = 3*y + 36, -4*q = -5*y - 26. What is the remainder when v is divided by q? 7 Suppose 0 = 3*k - 5 - 1. Suppose k*w + 2*j - j = 23, 5*w - j = 47. Let c = -8 + 47. What is the remainder when c is divided by w? 9 Calculate the remainder when (20/(-2))/(1/(-4)) is divided by 14. 12 Suppose -y = -2*c - 31, 0*y + 4*y + 3*c - 157 = 0. Suppose -2*l - 4*t = l - 59, 4*l = 2*t + 42. Calculate the remainder when y is divided by l. 11 Let d(m) = 4*m**2 + 5*m + 16. Calculate the remainder when 146 is divided by d(-3). 35 What is the remainder when 87 is divided by 1 - -14*12/8? 21 Suppose 8 = -2*v + 26. Let s = 52 - 82. Let j = s - -47. What is the remainder when j is divided by v? 8 Let h = -2 - -6. Let m = 10 - 16. Calculate the remainder when h is divided by (0 - -1) + (-6)/m. 0 Let q(s) = s**2 - s - 1. Suppose -7*p + 5*p + 14 = 0. Calculate the remainder when q(-4) is divided by p. 5 Let t = 1 + 0. Let r = t - -5. Calculate the remainder when r is divided by 2. 0 Suppose 0 = u - 20 - 25. What is the remainder when u is divided by 6? 3 Let o = 5 - 1. Let r be (o/(-4))/((-2)/8). What is the remainder when (r/(-8))/((-2)/4) is divided by 1? 0 Suppose -66 = -6*k + 216. Calculate the remainder when k is divided by 12. 11 Let k(h) = h**3 + 2*h**2 - 2*h - 6. What is the remainder when 55 is divided by k(3)? 22 Let c(x) = x**3 + 8*x**2 + 12*x + 22. Calculate the remainder when 174 is divided by c(-6). 20 Let p = 32 + 21. What is the remainder when p is divided by 28? 25 Suppose -310 = -5*k + 3*d, -4*k = -3*d - d - 248. What is the remainder when k is divided by 21? 20 Let d be (4 + -1)/((-9)/24). Calculate the remainder when 15 is divided by ((-4)/(-2)*d)/(-2). 7 Suppose -k - 3*k = 0. Let m be (k + 1)*(-87)/(-3). Suppose -q + 17 = -5*f, 7*f + m = 2*q + 2*f. Calculate the remainder when 34 is divided by q. 10 Let n be 6/9 - 4/(-3). Suppose -n*q + 8 = 0, 2*l - 79 = -3*l - q. What is the remainder when 43 is divided by l? 13 Let t(s) = -5*s + 5. Let w = 0 - 0. Suppose -5*f = -b - 26, 4*b + w*b + 2*f = -16. Calculate the remainder when t(b) is divided by 18. 17 Suppose 80 = -2*j + 4*j. What is the remainder when j is divided by ((-21)/4)/((-3)/8)? 12 Suppose 3*x - 4*x = -11. Let b be 2/(-4) + (-1)/(-2). Suppose b = -4*g + 2*g + 40. Calculate the remainder when g is divided by x. 9 Let d be (-1)/(-1)*7*-2. Let x = 22 + d. Calculate the remainder when 4/(-16) + 202/x is divided by 13. 12 Let d be 91/2 + 4/(-8). Let u = d + -32. Calculate the remainder when 36 is divided by u. 10 Let v(r) = r**2 + r - 8. Let y = 13 + -3. What is the remainder when y is divided by v(-4)? 2 Let b(d) = -2*d + 26. What is the remainder when 98 is divided by b(0)? 20 Suppose 4*u = -i + 15, -3*i + u - 12 = -70. What is the remainder when 92 is divided by i? 16 Suppose x + 0*r + 2*r = 6, -5*r - 39 = -2*x. What is the remainder when 58 is divided by x? 10 Suppose -p + o - 5*o + 6 = 0, -3*o - 43 = -4*p. Calculate the remainder when 28 is divided by p. 8 Let j(t) = -t**2 + 3*t + 4. Let n be j(3). Let w(z) = z**2 - 2*z**2 + 7*z - 9 - n*z + 2*z**2. What is the remainder when w(-7) is divided by 10? 9 Let d(r) = -r + 12. What is the remainder when 25 is divided by d(3)? 7 Let d(i) be the third derivative of 23*i**5/60 - i**2. What is the remainder when d(1) is divided by 12? 11 Suppose 4*l = -9 + 25. Suppose l*q - 3*q - 39 = 0. Suppose -2*z + 9 = -5*v
{ "pile_set_name": "DM Mathematics" }
out replacement from {t: 5, h: 14}. Give prob of picking 1 t and 1 h. 70/171 Calculate prob of picking 1 k and 1 y when two letters picked without replacement from {x: 6, i: 3, y: 5, q: 2, k: 2}. 10/153 Three letters picked without replacement from {h: 1, u: 4, x: 2}. What is prob of picking 2 x and 1 h? 1/35 Calculate prob of picking 1 s and 1 k when two letters picked without replacement from gsegygygssghskgsh. 5/136 Calculate prob of picking 1 u, 1 b, and 2 z when four letters picked without replacement from bmeizziizibzube. 6/455 Three letters picked without replacement from {o: 2, v: 3}. What is prob of picking 2 v and 1 o? 3/5 Three letters picked without replacement from hyyh. What is prob of picking 1 y and 2 h? 1/2 Four letters picked without replacement from {f: 3, i: 1, m: 3}. What is prob of picking 1 i and 3 f? 1/35 Three letters picked without replacement from dxdxh. What is prob of picking 2 d and 1 x? 1/5 What is prob of picking 1 n and 2 r when three letters picked without replacement from nrrnxlnnrnnpnlnnnln? 11/323 Calculate prob of picking 1 f and 1 q when two letters picked without replacement from qmqkmqqwmfqk. 5/66 Four letters picked without replacement from {k: 1, c: 3, p: 2, d: 4, q: 7}. Give prob of picking 1 k, 1 q, and 2 p. 1/340 Calculate prob of picking 4 z when four letters picked without replacement from {z: 10, h: 4}. 30/143 Two letters picked without replacement from {t: 16, j: 1, u: 1}. What is prob of picking 1 t and 1 u? 16/153 What is prob of picking 3 b and 1 v when four letters picked without replacement from khkvvkkvthkbtktvb? 0 What is prob of picking 2 f and 1 p when three letters picked without replacement from {i: 1, f: 2, j: 1, k: 2, n: 2, p: 1}? 1/84 What is prob of picking 1 m and 2 z when three letters picked without replacement from {q: 2, z: 2, m: 1, l: 1, p: 2}? 1/56 Three letters picked without replacement from {e: 12, r: 6}. What is prob of picking 2 e and 1 r? 33/68 Two letters picked without replacement from rrwvuwuwwww. What is prob of picking 1 r and 1 v? 2/55 Calculate prob of picking 1 x and 2 l when three letters picked without replacement from {l: 11, x: 5}. 55/112 What is prob of picking 1 o, 1 x, and 1 d when three letters picked without replacement from vxdxjxodxdjdoxxdox? 35/272 Calculate prob of picking 1 d and 1 e when two letters picked without replacement from {v: 1, d: 1, n: 1, e: 1, g: 1}. 1/10 Three letters picked without replacement from {j: 2, g: 1, d: 5, b: 1}. Give prob of picking 2 j and 1 d. 5/84 Four letters picked without replacement from {z: 2, x: 2, j: 1, g: 1}. What is prob of picking 2 z, 1 x, and 1 g? 2/15 Three letters picked without replacement from {c: 1, g: 9, z: 1}. What is prob of picking 3 g? 28/55 What is prob of picking 1 j, 1 v, 1 a, and 1 b when four letters picked without replacement from {j: 2, b: 2, d: 1, a: 1, v: 1}? 4/35 What is prob of picking 1 r and 1 j when two letters picked without replacement from {i: 1, p: 1, r: 1, s: 1, j: 1}? 1/10 Calculate prob of picking 1 j, 1 t, and 1 p when three letters picked without replacement from {f: 1, q: 4, p: 2, t: 2, j: 3}. 3/55 Calculate prob of picking 2 x when two letters picked without replacement from ddxxx. 3/10 What is prob of picking 3 p when three letters picked without replacement from {b: 11, p: 5}? 1/56 Calculate prob of picking 1 g and 2 o when three letters picked without replacement from {o: 6, g: 2}. 15/28 What is prob of picking 1 i and 1 w when two letters picked without replacement from micwycg? 1/21 Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {y: 1, z: 1, w: 1}. 1/3 Three letters picked without replacement from {a: 1, f: 3, k: 2, n: 1, y: 1, z: 4}. Give prob of picking 2 k and 1 y. 1/220 Three letters picked without replacement from pddddppd. Give prob of picking 3 d. 5/28 Calculate prob of picking 3 t and 1 p when four letters picked without replacement from {c: 2, p: 4, t: 4, x: 1, q: 3}. 16/1001 Three letters picked without replacement from {e: 4, v: 14}. What is prob of picking 3 v? 91/204 Four letters picked without replacement from bblblcbebgeeebgl. Give prob of picking 1 c, 1 e, and 2 g. 1/455 Four letters picked without replacement from {j: 2, u: 6, f: 5, k: 2, h: 3}. What is prob of picking 3 f and 1 k? 1/153 Three letters picked without replacement from qchhchqhqchhch. Give prob of picking 1 q and 2 h. 9/52 Four letters picked without replacement from {n: 5, y: 8}. Give prob of picking 1 y and 3 n. 16/143 Three letters picked without replacement from {d: 4, a: 1, h: 2, t: 6, i: 3}. Give prob of picking 2 h and 1 d. 1/140 Calculate prob of picking 1 r and 1 c when two letters picked without replacement from crhrccrrcrc. 5/11 Four letters picked without replacement from ccccc. What is prob of picking 4 c? 1 Two letters picked without replacement from knknlblnhbpp. Give prob of picking 2 b. 1/66 Four letters picked without replacement from flfdfllfdf. Give prob of picking 3 l and 1 f. 1/42 Calculate prob of picking 2 m when two letters picked without replacement from cmcmccmmmmm. 21/55 What is prob of picking 2 s when two letters picked without replacement from {a: 2, s: 7, y: 9}? 7/51 Calculate prob of picking 1 c and 3 x when four letters picked without replacement from ccxxccccxcx. 14/165 Calculate prob of picking 3 i when three letters picked without replacement from {i: 3, g: 2}. 1/10 What is prob of picking 1 y and 1 i when two letters picked without replacement from {i: 2, l: 1, y: 1}? 1/3 Four letters picked without replacement from {b: 2, f: 3, n: 2, r: 1, u: 12}. Give prob of picking 1 b, 1 u, and 2 f. 24/1615 Calculate prob of picking 1 l, 1 u, 1 t, and 1 y when four letters picked without replacement from {y: 2, u: 2, l: 1, k: 1, e: 1, t: 1}. 2/35 Three letters picked without replacement from htthwth. Give prob of picking 1 h and 2 t. 9/35 Four letters picked without replacement from tttpptvppttv. Give prob of picking 2 v, 1 t, and 1 p. 8/165 Calculate prob of picking 2 p and 2 j when four letters picked without replacement from {p: 1, j: 1, v: 2}. 0 Three letters picked without replacement from {d: 7, b: 1, p: 5, w: 1}. What is prob of picking 1 b and 2 d? 3/52 Four letters picked without replacement from {w: 2, j: 7, i: 5}. What is prob of picking 1 w and 3 i? 20/1001 What is prob of picking 4 t when four letters picked without replacement from tttrtcttcttrttttntmr? 143/969 What is prob of picking 1 o and 1 w when two letters picked without replacement from {o: 1, j: 4, w: 2}? 2/21 Four letters picked without replacement from {v: 9, h: 4, s: 4}. Give prob of picking 1 h, 1 v, and 2 s. 54/595 Three letters picked without replacement from {l: 3, s: 9}. Give prob of picking 3 s. 21/55 Three letters picked without replacement from hhhphpl. What is prob of picking 1 h and 2 p? 4/35 Two letters picked without replacement from {e: 3, p: 8, s: 4, l: 2}. What is prob of picking 2 e? 3/136 Calculate prob of picking 1 h and 2 s when three letters picked without replacement from sssssssshssssssshss. 16/57 Calculate prob of picking 2 n when two letters picked without replacement from nunnnnnu. 15/28 Two letters picked without replacement from {l: 3, g: 7, x: 2}. Give prob of picking 2 g. 7/22 What is prob of picking 1 t, 1 j, and 1 q when three letters picked without replacement from qjvtjke? 2/35 What is prob of picking 1 d and 3 q when four letters picked without replacement from dqddiiiqddddqi? 1/143 Three letters picked without replacement from {r: 7, z: 4}. What is prob of picking 1 r and 2 z? 14/55 What is prob of picking 1 b, 1 i, and 1 h when three letters picked without replacement from zbbbiqbihmbbbb? 4/91 Four letters picked without replacement from lzwwlwwlkkwzzkklwz. Give prob of picking 3 k and 1 l. 4/765 Two letters picked without replacement from lbondll. What is prob of picking 1 n and 1 l? 1/7 Two letters picked without replacement from {c: 4, e: 9, g: 3}. Give prob of picking 1 c and 1 g. 1/10 Calculate prob of picking 3 f when three letters picked without replacement from {f: 17, y: 1}. 5/6 Calculate prob of picking 2 d when two letters picked without replacement from {d: 15, p: 5}. 21/38 Calculate prob of
{ "pile_set_name": "DM Mathematics" }
-0.05? -31 What is the fourth smallest value in -1/107, 0.13, -0.4, -5, -37, 0.5? -1/107 What is the fifth biggest value in 1, 4, -104, 12, 0, 2? 0 What is the smallest value in 4/5, -7, -2/2699? -7 What is the biggest value in 17.3, 2/753, -4/7? 17.3 What is the smallest value in -5, -101/5, 1, -32? -32 Which is the fourth smallest value? (a) -5 (b) 0.2 (c) 1 (d) -0.167 (e) 3 (f) -0.88 b What is the third smallest value in 0, 0.084, -0.16, 10, 4/3? 0.084 What is the biggest value in 2.4, 1/2, -0.1, 0, -54? 2.4 What is the third biggest value in 3/2, 0, 317, -3? 0 What is the smallest value in 2, 3/8, 1/16718? 1/16718 What is the second biggest value in 3, -23754, -6? -6 What is the biggest value in -1.116, 3/244, 0.2, -2/3? 0.2 Which is the biggest value? (a) 0.2 (b) 0.08 (c) -4/3 (d) -12/13 (e) -6 a What is the fourth biggest value in 2, 12, 149, -0.4, 1/15? 1/15 What is the third biggest value in 1.8, -2, -0.5, -0.2? -0.5 What is the second biggest value in 3, 31, 10, -4? 10 Which is the second smallest value? (a) -2/11 (b) -2/67443 (c) -2 a What is the smallest value in -1/7, 93, 2, -0.4, -40/9, -4? -40/9 What is the third smallest value in 32861, 2/19, -5, 3/2, 2/21? 2/19 Which is the fifth biggest value? (a) -3/5 (b) -4/7 (c) 0 (d) 2/9 (e) 102 (f) -4 a Which is the second biggest value? (a) -10 (b) -40214 (c) 2 a What is the third smallest value in 1107, -4, 0.5? 1107 What is the smallest value in 0.3, 6/383, -6? -6 What is the fifth biggest value in 6625, 1.5, -0.5, -4, -2? -4 Which is the smallest value? (a) -0.6 (b) 5 (c) 7/29 (d) 4 a Which is the second biggest value? (a) -10/9 (b) -67 (c) 19 (d) -21 a Which is the biggest value? (a) 1/14 (b) 2 (c) 43 c Which is the sixth biggest value? (a) 33 (b) -2 (c) 2/15 (d) 4/5 (e) -1/6 (f) -0.8 b What is the fifth smallest value in -0.2, 5, -5/8, -3, 0.2, 137? 5 Which is the smallest value? (a) 25 (b) 257 (c) -0.3 c What is the smallest value in 2/29, 1, -3, -4/7, 3.207, 0? -3 Which is the smallest value? (a) -1 (b) 1 (c) -23/5 (d) -1175 d What is the third biggest value in 1/6, 0.25, 1, -1? 1/6 Which is the third smallest value? (a) 73 (b) 3 (c) 105.3 (d) -0.1 a Which is the third smallest value? (a) 0.0001 (b) 1 (c) -1281 b Which is the fifth biggest value? (a) -0.2 (b) -2/5 (c) -9 (d) 147 (e) 1 c What is the smallest value in -66, -136, -0.4, 2/9? -136 What is the third biggest value in 2, 3, -4/9, 0.376? 0.376 Which is the sixth biggest value? (a) -3/1394 (b) -7 (c) -1/3 (d) -1/2 (e) 5 (f) -1 b Which is the third smallest value? (a) -11/4 (b) 0.5 (c) 7 (d) -0.1 (e) 1 b What is the fourth smallest value in -7, 98, 0.2, 59, -3/4? 59 Which is the third biggest value? (a) 625 (b) 0 (c) 1 (d) 8/3 (e) -0.4 c Which is the fifth smallest value? (a) -2/9 (b) 1/17 (c) -2 (d) 1/3 (e) 4 (f) 10 e What is the third biggest value in 0.5, -10, -2, 197? -2 What is the fifth biggest value in 0.7, 0.03, -17, 2/9, -0.12, -4? -4 What is the biggest value in 24, 4, 1143, 2/7, 1, -2/15? 1143 What is the fifth biggest value in -9/7, 288, 0.1, 5, 1? -9/7 Which is the smallest value? (a) -1/4 (b) -0.9 (c) 0 (d) -4.2 (e) 225 d Which is the third biggest value? (a) -5/4 (b) 87 (c) -1 a What is the third smallest value in -3/5, -1/10, 3/34, -5/3? -1/10 Which is the smallest value? (a) 0.2 (b) 74 (c) -0.0119 c What is the fourth biggest value in 6/11, -14/3, -10, -2/21, -5, -8? -5 What is the second smallest value in 0.3, -1/103, -0.2, 29.7? -1/103 What is the fourth biggest value in -0.039, 0.7, 0.06, 0, 0.2? 0 Which is the fourth smallest value? (a) 1/2 (b) 5 (c) -5 (d) 4 (e) -0.007 (f) -0.8 a Which is the third smallest value? (a) -16/5 (b) 57 (c) -1/9 (d) -0.4 c Which is the fourth smallest value? (a) 2/3 (b) 1.4 (c) 3/7 (d) -1/36 (e) 26 b What is the third biggest value in -1/5, -0.05, -5, 6, 0? -0.05 What is the second smallest value in -0.11, -0.29, -0.2, -1, -3? -1 What is the second smallest value in 1964, -3, -0.2? -0.2 Which is the fourth smallest value? (a) 8 (b) -0.08 (c) 3 (d) -5/33 (e) 0.5 (f) 0 e Which is the fourth biggest value? (a) 0 (b) 0.3 (c) -2/25 (d) -8 (e) -5 e What is the sixth biggest value in 2/3, 0.1, -7.3, 0.4, 1/7, -0.3? -7.3 What is the fifth biggest value in -3, -4/7, 16, 19, 127? -3 Which is the fifth smallest value? (a) -1/30 (b) -1 (c) -2 (d) -0.3 (e) 13/3 e Which is the third smallest value? (a) 2.87916 (b) -5 (c) 0 (d) 3 a What is the second biggest value in -2/3, -3, -12/7, 118? -2/3 Which is the third smallest value? (a) 3 (b) -0.04 (c) -4/7 (d) 1893 a Which is the fourth biggest value? (a) 6/5 (b) -7 (c) -5/2 (d) -26 (e) 1/8 (f) -4/5 c Which is the biggest value? (a) 2/7 (b) -0.22 (c) -0.24148 a Which is the third biggest value? (a) 1/4 (b) -0.1 (c) 3 (d) -5 (e) -2 (f) 66 a What is the third biggest value in 3, 6/209, 0.4, -5, 2/15? 2/15 What is the third smallest value in 2/3, -18/71, -0.1? 2/3 What is the biggest value in -0.13, 0.02, 2/11, -63, -0.2? 2/11 What is the second smallest value in -1/4, 0.4, -1190/11? -1/4 What is the second biggest value in 1.1, 90, -120? 1.1 Which is the second biggest value? (a) 6 (b) -0.25 (c) -27 (d) 1/6 (e) -4 d Which is the biggest value? (a) -4 (b) -3/8 (c) 6/7 (d) -37 c Which is the smallest value? (a) -4 (b) 120 (c) 20/21 a What is the biggest value in -0.1, 4/7, 0.03, -0.4, -4? 4/7 Which is the third biggest value? (a) -5 (b) -17 (c) 787 b Which is the fourth biggest value? (a) -1/9 (b) -8 (c) 3 (d) 0.404 b Which is the biggest value? (a) 3/2 (b) -2/9 (c) -490 (d) -37 (e) 3 e Which is the smallest value? (a) 11 (b) -2/17 (c) -0.5 (d) 1/261 c Which is the second biggest value? (a) 2717 (b) -3.5 (c) 0.3 c Which is the smallest value? (a) -1 (b) 6670 (c) -2 (d) -138 d What is the fourth smallest value in 1/4, 3.3, 2/5, -118, 3? 3 Which is the second smallest value? (a) -1/98 (b) -1 (c) 3 (d) 1.74 a Which is the fourth smallest value? (a) -2 (b) 2 (c) -1869 (d) -0.3 (e) 7 b Which is the fifth smallest value? (a) -0.3 (b) 1/4 (c) -0.6528 (d) 0.1 (e) -2/5 b Which is the third smallest value? (a) 11.3 (b) -4 (c) 3/8 (d) -2/13 c Which is the third biggest value? (a) 3 (b) -2 (c) 0.5 (d) -4/49 (e) -0.039 (f) 0.1 f Which is the third smallest value? (a) 10/3 (b) -5 (c) 3 (d) 1/4 (e) 1 (f) -0.1 d What is the second smallest value in 3, -0.131, -4/7, -0.4, -3, 15? -4/7 What is the fourth smallest value in 3/5, -16, -8, -6? 3/5 What is the third biggest value in 1/5, -1.52, -2/5, 1.41? -2/5 What is the biggest value in 21872, 32, -1/4, 4? 21872 What is the fifth biggest value in -5, 1498, 9, 1/2, -0.3? -5 What is the third biggest value in 1/5, 1.8, -19.9? -19.9 Which is the second biggest value? (a) 1/5 (b) -18195/7 (c) 1 a Which is the fourth smallest value? (a) 1/3 (b) 0 (c) -4 (d) -6 (e) 1051 (f) -0.01 b Which is the fifth biggest value? (a) -4 (b) 3/4 (c) 1 (d) -471 (e) 32.7 d Which is the biggest value? (a) -1069 (b) 4 (c) 28 (d) 2/13 c What is the second biggest value in -0.02, -1, -4/5, 3, -4/13? -0.02 Which is the third biggest value? (a) -99 (b) 104/207 (c) -1/3 a Which is the smallest value? (a) 125/29 (b) 0.3 (c) -7 c What is the biggest value in -2/9, -5815, -0.1? -0.1 What is the second smallest value in -4, 3/5, 0.4, -2094? -4 What is the third smallest value in 0.07, -5, -0.3, 7/22? 0.07 What is the second smallest value in -0.2, 203/3, 2/17, -4/29, -1, 0? -0.2 Which is the third biggest value? (a) -1/5 (b) 1 (c) 2/5 (d) -6 (e) 2/9 e What is the second smallest value in -76, 2/13, -0.1, 2/11, -0.3? -0.3 What is the fourth biggest value in 10.333, 2, 4, 1/4? 1/4 Which is the second biggest value? (a) -2 (b) -1.4 (c) -0.05 (d) -2/3 d Which is the third biggest value? (a) -7/3 (b) 0.1 (c) -9 (d) -1 (e) 2/49 (f) 4/5 e What is the smallest value in 1, -5, 326, 2/7? -5 Which is the smallest value? (a) -2/63 (b) 0.2 (c) 11 (d) -3 d Which is the second smallest value? (a) -2 (b) 24 (c) 0.4 (d) -0.3 (e) -8/5 (f) 4/3 e Which is the fourth smallest value? (a) -2/11 (b) 1/5 (c) -0.2
{ "pile_set_name": "DM Mathematics" }
)? 5 What is the value of 12/(-63)*-3*(-7)/(-6)? 2/3 77/(-28)*-2 + -7 -3/2 Calculate (81/45)/9 + 0/(-3). 1/5 Evaluate 4*(102/(-24) - -4). -1 (2 - (-36)/(-14)) + (-30)/21 -2 Calculate (-38)/285*(-18)/8. 3/10 What is 1/5*13 + 6/15? 3 Evaluate (-286)/99 + (-3)/(-1). 1/9 18/36*(-16)/(-2) 4 Calculate (2/36)/((-4)/6 - -1). 1/6 Calculate (-156)/30 - (-5 - 0). -1/5 What is ((-9)/24)/((76/32)/19)? -3 (-48)/(-45)*(-15)/(-12) 4/3 (3 + -5)*(180/(-8))/9 5 Calculate 34/9 + -2 + -2. -2/9 What is 16/(-12)*3 - (-48)/18? -4/3 Evaluate (-16)/(-5) + 3/(-15)*1. 3 Evaluate 0 + (-24)/6 - 63/(-15). 1/5 What is (-27)/12 + (3 - 1)? -1/4 What is 6/15*(-3)/(24/(-10))? 1/2 Evaluate ((-24)/36)/((-2)/(-3)). -1 What is (-10 - 3)/26*8? -4 What is -1 - 4 - (-71)/(26554/1848)? -1/17 What is the value of 10/(-3)*24/20? -4 Calculate (-3)/30 - 15/(-30). 2/5 Calculate ((-10)/(-6))/((110/15)/(-22)). -5 What is ((1058/115)/23)/(2/(-40))? -8 What is the value of (-3*8/(-42))/(1606/511)? 2/11 What is (7/(-189))/(3/(-9))? 1/9 Calculate (3/30)/((-15)/60). -2/5 What is (1/(-4))/((-213)/284)? 1/3 Evaluate 4 - (0 - 2 - -1). 5 ((-6)/(-28))/(21/56) 4/7 What is the value of 35 + -35 + (-2 - -2)/(-2)? 0 What is the value of (-49)/(-7) - (-1 + 7 + -3)? 4 Calculate (33/22)/((-3)/2). -1 (-5)/(-6) + (-2960)/3885 1/14 6/(-2) + 4 + 1*2 3 What is 4*18/108 - 32/30? -2/5 What is the value of (1 - 0)/(-2*12/16)? -2/3 Calculate 275/(-125) - 18/(-15). -1 Calculate (-7)/(-28)*0 + 5. 5 ((-12)/(-3))/(-51 + 5) -2/23 Calculate -15 + 23 + 3/(1 + -2). 5 What is the value of (-1 + 0)/((-37)/(-37))? -1 -8 - -3 - (-2 + 1) -4 What is (-3 + (-23)/(-6))*27/(-30)? -3/4 Calculate ((-756)/(-208))/9 + (-6)/39. 1/4 1/(-2*4/32*4) -1 ((-38)/6 - -2) + 24/18 -3 What is 10/(-12) + 12 + -11? 1/6 (-2)/(-6*(-2 - -5)/(-45)) -5 12/(-3) - 54/(-15) -2/5 What is the value of (-3 + (-36)/(-8))*(-3 + 1)? -3 2*-1 - (-49)/28 -1/4 What is (-63)/98 - (-1)/7? -1/2 What is the value of 80*6/84 - 2*3? -2/7 20/(-100) - (-1)/5 0 Calculate (72/27)/((-16)/(-12) + -2). -4 What is (-18)/(-64)*(2 - 50/15)? -3/8 Evaluate (-88)/110 - (-68)/110. -2/11 Calculate (-60)/63 - (-2)/(-3)*-1. -2/7 What is ((-3)/(-4))/1 - (-11)/(-4)? -2 What is the value of 1/4 - (-138)/(-720)*2? -2/15 Calculate 30/(-44) + (-40)/22 + 2. -1/2 What is the value of (-188)/2961 - 4/18? -2/7 Calculate 8 + 1308/(-324)*2. -2/27 What is the value of 440/275*4/((-8)/5)? -4 4*24/(-64) - 19/(-14) -1/7 What is the value of 3*51/34*(-2)/36? -1/4 What is (-8)/16 + (-3)/(-12)? -1/4 What is (-952)/(-153) + (-8)/36? 6 What is the value of 3114/173 - (9 - 1)? 10 7/35 + (-51)/30 -3/2 Calculate 2/(-3)*(1 + (2 - 9)). 4 What is -4 + (-1)/(-4) + (-3)/(-4)? -3 Calculate (-2)/4*212/477. -2/9 7 - (-3 + 9 + -2) 3 Evaluate (6/5)/(3/5). 2 What is the value of (21/(-12))/((-44)/176)? 7 What is (-20)/(-160) + (-1)/2? -3/8 Evaluate (-23)/7 + 1 - (-62)/31. -2/7 What is 2*1 + (-375)/225? 1/3 What is (-9 + 0)*(-17)/51? 3 Evaluate (9/(-15))/(((-378)/(-15))/(-14)). 1/3 Evaluate ((-30)/(-36))/((-45)/(-27)). 1/2 Calculate ((-3 - 1) + 4)/(-4). 0 Calculate 5/35 - (-8)/(-7). -1 What is 6 - (-22)/(44/4)? 8 Calculate 2/(-40) - (-5)/(-25). -1/4 Evaluate 2/(-11) - (-630)/(-770). -1 What is 13 + -5 + (-4 - -9)*-1? 3 What is (6 + (-5 - 0) + -1)/2? 0 Evaluate 5/(-6)*(-144)/(-180). -2/3 Calculate (-6)/(4 - 1)*-2. 4 What is the value of 93*(-3)/(-99) + -3? -2/11 2 - (-1 - (-10)/3) -1/3 ((-95)/19)/(((-15)/(-18))/1) -6 Calculate 1/((-2)/(-8) + (-10)/20). -4 What is (6/4)/((-3)/(-2))? 1 What is (-225)/625*(-10)/6? 3/5 Calculate (3/((-18)/(-10)))/((-22)/(-66)). 5 What is the value of -3*4/(-3) - -1? 5 (6 + 72/(-15))*20/(-44) -6/11 Evaluate (2 + -2)/2 + -3 + -1. -4 What is the value of 5*5/25*(-3)/15? -1/5 Calculate (-15)/(-9)*2/5. 2/3 What is the value of 76/48 - (-1)/(-3)? 5/4 Calculate 2*1*1/(-16). -1/8 1104/(-966)*(-14)/(-4) -4 6/14 + (-4)/(-7) - 1 0 ((-20)/(-8))/((-35)/(-28)) 2 Evaluate ((-1)/3)/((-1)/12). 4 What is the value of (7 + 0 + -1)*4/(-8)? -3 What is (-1728)/126 - (-20 + 6)? 2/7 Calculate 2365/275 + (1 - 9). 3/5 What is ((-9)/39)/(3/(-2))? 2/13 Calculate (5 - (-497)/(-98))*(-20)/(-5). -2/7 What is 341/(-66) + 3 + 2/12? -2 What is (-91 - -90)/((-2)/(-10))? -5 What is the value of 7 + -6 + 1 + (-28 - -34)? 8 What is the value of 0*(30/(-8) - -4)? 0 Calculate ((-4)/(-6))/((-7)/(-21)). 2 What is the value of 3/(0 + 12/(-16))? -4 Evaluate (1/(-1))/((22/33)/2). -3 Evaluate ((-92)/12 - -6)/((-15)/(-54)). -6 ((-2)/8)/(-4*(-8)/(-128)) 1 Calculate 3/(-12)*(-88)/(-33). -2/3 What is 82/(-123)*(-18)/4? 3 What is the value of -3 + (12/(-8))/(-3)? -5/2 What is (-7 + 5)*3/(-2)? 3 8/256*8 + 0 1/4 What is 10/(-120)*(2 - -6)? -2/3 What is (2/(-4) + 2)*(-20)/(-15)? 2 What is the value of (-6)/18 + 4/3? 1 What is the value of 24/39*(0 + (-3)/(-12))? 2/13 Calculate (8/(-16))/(2 - 22/12). -3 What is (-1)/7*(1 + -2)? 1/7 What is -5*(-19 - -20) + -3 + 0? -8 What is (-2090)/(-741) - (-48)/(-18)? 2/13 What is the value of (12/(-9))/((-12)/27)? 3 Calculate -1*1/((-10)/(-30)). -3 What is (-4 - 2)/(18/4)*-3? 4 What is ((-68)/102)/(((-28)/(-9))/2)? -3/7 What is the value of 9/2*(3 + 51/(-18))? 3/4 2/((-5)/(-15) - 64/(-6)) 2/11 Calculate -3 + -7 + 9 + -4. -5 Calculate 2*(1 - (-52)/(-48)). -1/6 Evaluate (8/4)/((-5)/(5/9)). -2/9 ((-2)/(-4))/((-11)/22) -1 Calculate (1 + -2)/((-7)/21). 3 (-1 - 9/(-6))*(9 + -9) 0 What is the value of ((-2)/(-4))/(0 + (-3)/(-6))? 1 What is (9 - 6) + -5 + 1/3? -5/3 Calculate (9/60)/((-17)/(-68)). 3/5 1150/130 - 6/(-39) 9 Calculate 6 - (-40)/24*-3. 1 Calculate 8/(-30)*(-3)/(-2). -2/5 What is 400/100 - (-3 - (-2)/(-1))? 9 Calculate 68/170 - (-18)/5. 4 84/14 - (-57)/(-6) -7/2 What is the value of (1/(-6))/(128/(-18) - -7)? 3/2 What is ((-4)/((-64)/24))/(14/(-4))? -3/7 What is the value of -2*(-15)/10 + 16/(-5)? -1/5 What is the value of 1*-3*5/(-12)? 5/4 What is the value of 56/144 - 2/9? 1/6 What is 85/30 - (9/3 + 0)? -1/6 What is 94/24 + 0 + 1/12? 4 Evaluate (((-24)/18)/(-4))/(8/12). 1/2 Calculate ((-6)/45)/((-24)/15). 1/12 What is -7 + (-130)/25 - -12? -1/5 Evaluate 3*51/(-45) + 4. 3/5 4 + 4*4/16 5 What is 41/(-44) - 4/(-22)? -3/4 (4 - 0) + 43 + -44 3 What is the value of (4 - 19/2) + 3? -5/2 What is ((-136)/(-34))/(-7*2)? -2/7 What is the value of (5 - (10 + -6))*-1? -1 ((-1)/4*2)/((-40)/80) 1 What is the value of ((1 + -2)/3)/((-124)/(-2604))? -7 What is 7/84 - 305/60? -5 Calculate 260/35 - (2 - -5). 3/7 Calculate ((-8)/20)/(9/(-90)). 4 What is ((-4)/7)/2*(-7)/15? 2/15 (-2*(-9)/60)/((-18)/(-5)) 1/12 What is ((-5)/10)/(21/42)? -1 Calculate (-2170)/6300 + 1/(-18). -2/5 (-104)/156*3/2 -1 Calculate 8/36*3*(-3)/(-8). 1/4 Calculate ((-24)/(-80))/((-6)/45*-18). 1/8 Evaluate (8 - -1 - 4) + (3 - 6). 2 Evaluate 1/(-5 + 28/6). -3 ((-2)/(-4))/1*22/44 1/4 What is the value of (-1548)/(-126) + -12 - (-58)/(-7)? -8 What is 123/36*3 + -10? 1/4 Calculate (8/12)/(15/10). 4/9 Evaluate 24/(-52) - (-340)/(-52). -7 1/((-6)/8*(-3)/(-9)) -4 What is 0 + -7 + 2 - 0? -5 What is (-18)/16*(-92)/69? 3/2 Evaluate -12 - -6 - (-10 - 0). 4 What is (14/(28/(-6)))/1? -3 What is the value of (20/5 - 7)*1? -3 Calculate (-2)/(-7)*(-35)/(-10). 1 Calculate (-4 + 3)*(-10)/95. 2/19 What is the value of ((-3 - -4)/(-6))/((-19)/(-38))? -1/3 (45/18)/(1/(-2)) -5 (-4)/12 + (-3 - 84/(-9)) 6 Evaluate 3 + (-69)/21 + 1769/(-203). -9 Evaluate (0 + 6)/(-2) - (-6 - -3). 0 What is 145/(-150) - 36/(-45)? -1/6 Calculate 30/165 + 525/77. 7 ((-108)/15)/(-4)*80/(-24) -6 What is the value of (-2 - -5) + (-24)/14 + -1? 2/7 Evaluate -4*1 - (-1 + 2)*-2. -2 Calculate 120/39 + (2 - 3)*3. 1/13 Evaluate 390/(-325)*5/(-51). 2/17 ((-6)/12 - -1) + 22/4 6 What is the value of 4*2/2 + -1 + 0? 3 What is the value of ((-12)/1)/4 - -6? 3 Calculate ((-10)/(-30))/(3/(-45)*-1). 5 Calculate (0 + 3)*2/6 - -3. 4 What is the value of -1*(-9)/(36/(-28))? -7 Evaluate (-63)/(-30) - (-2 - -4). 1/10 Calculate (90/27)/((-8)/6) + 5. 5/2 Calculate -11 + -1 - (-158 + 151). -5 What is ((-65)/(-7) + -9)/(24/(-14))? -1/6 Evaluate (40/60)/(15/9). 2/5 Calculate (1 + 1 + -1)*(-2 + -1). -3 What is the value of (48/8)/24*8/(-6)? -1/3 What is (-101)/(-202) + 14/(-20)? -1/5 ((-12)/16 + 14/8)*-5 -5 -8 - 2*(-3 - 0) -2 What is 1/(3 - (-2)/(20/(-25)))? 2 What is the value of (6 + (-16)/4)/(2/3)? 3 What is ((-38)/20 + 2)/(2
{ "pile_set_name": "DM Mathematics" }
ive. i**(6802/45) Simplify (i/(i/(i**7*i)))/((i*i**(-11))/i)*(i**(-5/3)/i)/i**10 assuming i is positive. i**(19/3) Simplify t**(9/7)/(t*t*t**(-10)/t)*(t**3)**(4/19) assuming t is positive. t**(1452/133) Simplify s**(-1)*s*s/(s/(s*(s*s*s**5*s)/s))*s**(-1)/((((s**(-1/18)*s)/s)/s)/s*s) assuming s is positive. s**(145/18) Simplify ((z*z/(z/((z/(z*z**(-2/43)*z)*z)/z)))/z**(5/3))/((((z*z**(-1)*z*z*z)/z)/z)/z**(1/8)) assuming z is positive. z**(-2575/1032) Simplify ((k/(k/(k*k*k**(-1/19)*k)*k))/(k**(2/25)/k))/(k**(3/14)/k*k)**(-2/155) assuming k is positive. k**(295839/103075) Simplify c**14*c**(-2/13)*c*c/((c**(-1/10)/c)/c*c)*c/(c**(2/13)*c) assuming c is positive. c**(2183/130) Simplify ((z*z**(-1/3)/z)**(-33)/((z*z**(3/7)*z)/z**(-2/11)))**(18/13) assuming z is positive. z**(11628/1001) Simplify (((u*u**(2/3))/u*u**(1/4)/u)**(-18))**(4/25) assuming u is positive. u**(6/25) Simplify ((((i/(i**0*i))/i)**24)**(-2/15))**(-2/17) assuming i is positive. i**(-32/85) Simplify (c/c**(-1/8))**(-22)*(c**0)**(6/35) assuming c is positive. c**(-99/4) Simplify (s**(2/43)/(s/s**(-2/19)*s))/(s*s**(-2)*s)**42 assuming s is positive. s**(-1682/817) Simplify ((d**0/d)**(-29)*(d*d*d*d**1)/d*d*d**6)**(-14/3) assuming d is positive. d**(-182) Simplify (o**(-2/21)*o*o*(o*o*o**(1/11))/o)/((o/(o*o**20))/(o*o/((o*o**17*o*o)/o))) assuming o is positive. o**(1385/231) Simplify ((v*v**2*v)/v**7)/(v**(1/8)*v)**27 assuming v is positive. v**(-267/8) Simplify (p*p/p**(16/3)*p/((p/(p**(-1/25)/p)*p)/p))**(36/5) assuming p is positive. p**(-3936/125) Simplify (n**18/n*n*n/n**(-5/2))/(n*n*(n/(n*n/((n/((n/(n/n**(-7)))/n)*n)/n))*n)/n*n*n*n**(-8)*n) assuming n is positive. n**(33/2) Simplify (p/(p/(p*p*p*p**(2/9)/p*p))*p/p**(-4/3))/((((p/(((p*p/p**(-1/17))/p)/p))/p)/p)/(p**(-5/3)*p)) assuming p is positive. p**(910/153) Simplify ((j*j**(-10)*j*(j/j**(-3/11))/j)/(j/j**1)**(-2/5))**(-50) assuming j is positive. j**(4250/11) Simplify (t*t/t**6)/(t/t**(-2/17))*(t/t**(-1/5)*t)**(7/8) assuming t is positive. t**(-2171/680) Simplify ((((d/d**(-1/4))/d)**(-49))**(-50))**(3/25) assuming d is positive. d**(147/2) Simplify (u*u**2*u**(-1)*(u/u**(1/2))/(u/u**(-3/4)))**(-2/39) assuming u is positive. u**(-1/26) Simplify (y*y**(2/7)*y/(y**(-1/2)/y))/((y**(7/2)*y)/(y*y**(7/6)*y)) assuming y is positive. y**(103/42) Simplify (x**1)**(-1/3)/((x*x**(4/3))/(x*x**(1/6))) assuming x is positive. x**(-3/2) Simplify ((u/u**(1/2))**(14/9)/((u**(1/5)/u)/u**(5/4)))**(2/33) assuming u is positive. u**(509/2970) Simplify (((m/m**2)/m)**(-46)*(m**3)**45)**(3/11) assuming m is positive. m**(681/11) Simplify ((x*x**(-4/9)*(x*(x**(-1/3)/x*x*x)/x*x*x)/x*x)/((x**4*x)/x**4))**(-42) assuming x is positive. x**(-280/3) Simplify (y**15*y*y/(y/(y*y**(-2/15)*y)))/(((y**0*y)/y)/(y**(-2/35)*y*y*y)) assuming y is positive. y**(437/21) Simplify (((z**(-2/3))**50)**(-3/17))**(5/14) assuming z is positive. z**(250/119) Simplify b*b*(b**(-3/5)*b*b)/b*b*b*b*b**(1/2)*b*((b/b**0)/b*b)**31 assuming b is positive. b**(379/10) Simplify ((i**(1/5)/(i/(i*i/(i*i**(-6/11)*i*i)*i)))/(i**4*i**(-3/7)))**(5/2) assuming i is positive. i**(-1473/154) Simplify ((g**6/(g*g/(g*(g/g**(-1)*g)/g)*g))/((g*g**(-5/6)*g)/g**(2/15)))**(1/36) assuming g is positive. g**(149/1080) Simplify (y**(-5)*y*y)**(-3/4)/((y/y**(1/5))/y**(1/22)) assuming y is positive. y**(329/220) Simplify ((t/(t/(t/t**7))*t**(-3))/(((t*t**(-2/17))/t)/t**(-5)))**(1/5) assuming t is positive. t**(-236/85) Simplify (g/g**(-17)*g*g**(-2/7)*g)/(g**6/g**(2/27)) assuming g is positive. g**(2606/189) Simplify (y/((y**(-2/17)*y*y)/y))**(1/8)*(y**17)**(-15) assuming y is positive. y**(-17339/68) Simplify (x/(x/x**(-3)))/(x/x**(5/7))*(x/(x*x**(13/2)/x))/x**(1/16) assuming x is positive. x**(-991/112) Simplify ((g**(-1/3)*g)**(-2/85)*g/(g/g**(-2/13))*g/g**(4/7)*g)**(7/6) assuming g is positive. g**(14608/9945) Simplify (l**(2/9))**(-13/4)/(l*l**(-3/10))**(1/10) assuming l is positive. l**(-713/900) Simplify (q*q**(-3))**(-2/157)/(q/(q/(q*q**(-5/3)))*q/q**4) assuming q is positive. q**(1739/471) Simplify ((n*n/n**(-1/15))**(-2/99))**38 assuming n is positive. n**(-2356/1485) Simplify z**10/(z*z/(z/z**(-14/9)*z))*z**(-1/5)/z**19 assuming z is positive. z**(-344/45) Simplify ((((p**(3/7)*p)/p*p)/p)/p*p)**1/(p/((p/(p**15*p))/p)*(p**(-2/3)/p)/p*p) assuming p is positive. p**(-313/21) Simplify (d/((((d/((d*d**(1/9))/d*d))/d)/d)/d)*d*d*d*d*d*d**(2/5))/((d*(d/(d*d**(-11)))/d*d)/d**(3/2)) assuming d is positive. d**(-89/90) Simplify (o**(-9))**16/(o**(1/5)/o)**33 assuming o is positive. o**(-588/5) Simplify (u**(-1/5))**(-4/17)*u**(-5/6)*u**(-14) assuming u is positive. u**(-7541/510) Simplify (y**(-18)*(y/y**15)/y*y*y)**(-31/3) assuming y is positive. y**(961/3) Simplify (o**(9/2)/o**(-1/8))/((((o*(o*o/o**(14/5)*o)/o)/o)/o)/(o/o**(-18))) assuming o is positive. o**(1017/40) Simplify (l**6)**(-15)/(l**(2/5)/(l*l/l**(1/4))) assuming l is positive. l**(-1773/20) Simplify (j/j**3)**(-5/13)/((j/(j*j**(-1/9)/j*j))/j**(-10/9)) assuming j is positive. j**(-53/117) Simplify u*u**(-18/11)*u**19*u*((u/u**36)/u)/(u/(u**(1/43)/u)) assuming u is positive. u**(-8804/473) Simplify ((u/u**(1/4))/u*u)**(4/7)*u**(2/43)/u**(-1/20) assuming u is positive. u**(3161/6020) Simplify ((h**(-3)/(h**(-4/7)*h*h))/((h/(h**(1/2)/h))/h*h)**(-50))**(-16) assuming h is positive. h**(-7904/7) Simplify ((p*p*(p/(p/((p*p/p**5)/p)))/p)/p**(3/4)*(p**(-2/9)*p)**18)**(-2/9) assuming p is positive. p**(-41/18) Simplify (d/(d/d**(1/3)))**(4/3)*d**(-7/4)*d*d**(-14)*d assuming d is positive. d**(-479/36) Simplify u**(-7)*u/(u/(u*u**(-1/8)/u))*(u*(u**6/u)/u)/(u/((u**(-2/9)/u*u)/u)) assuming u is positive. u**(-313/72) Simplify (w/(w**31/w))**(-1/3)/(w/w**(-40)*w**40/w*w) assuming w is positive. w**(-214/3) Simplify (v*v**2*v*v)/((v**(-10/13)*v*v)/v)*v**(5/2)/v**11 assuming v is positive. v**(-97/26) Simplify (((x*((x*(x/(((((x**(-2/7)/x)/x)/x)/x)/x)*x)/x*x*x*x*x*x)/x)/x)**(-26))**(5/6))**(-1/10) assuming x is positive. x**(1027/42) Simplify c**(-6/11)/c**(2/41)*(c*(c**(-10)/c)/c*c*c*c)/(c/((c**2/c)/c)) assuming c is positive. c**(-4327/451) Simplify g**(-12/13)/g**(-13)*g**(-3/5)*g/g**(-35)*g assuming g is positive. g**(3151/65) Simplify (((z/(z**4*z))/(z*z**(-1/3)*z))/((z/((z*z*z/(z**(-7)/z)*z*z*z)/z))/(z/z**(9/5))))**(-14/11) assuming z is positive. z**(-1162/165) Simplify (m**(-6))**(12/13)*(m/m**(-9))**(-10/9) assuming m is positive. m**(-1948/117) Simplify (a**8)**(-38)/((a/(a*a**(2/85)))/(a/(a/a**18))) assuming a is positive. a**(-24308/85) Simplify ((q*(q*q/(q/q**(-1/4))*q)/q)**(4/17)*q/(q*q**(-2/3)*q)*q*q**(-1/9))**(-44) assuming q is positive. q**(-6512/153) Simplify ((o**(-6)/o)/(o/(o*o/o**(-12))))/(o**(-8/7)*o*o*o*((o**(-4/13)*o*o)/o)/o) assuming o is positive. o**(405/91) Simplify (((r/r**(1/3)*r)**22)**(-37))**(-1/49) assuming r is positive. r**(4070/147) Simplify ((j**13/(j*j**1))**(-39))**20 assuming j is positive. j**(-8580) Simplify (t*t*t*t**(2/13)*t)**18*t**(4/23)*t*t**(-14)*t assuming t is positive. t**(18820/299) Simplify (b**(6/11)/b)**(-5)*b/(b/((b**23*b)/b))*b**(-2/17)/b assuming b is positive. b**(4517/187) Simplify (c**(-3/17))**(-1/8)*c*c/c**(-9/2)*(c**(-5/3)*c)/c assuming c is positive. c**(1981/408) Simplify (d**(-4/9)*d*d**(-1/8))**(-36) assuming d is positive. d**(-31/2) Simplify y**13*y*y/((y/y**(-5/2)*y*y*y)/y)*((y/y**(3/4)*y)/y*y)**(1/47) assuming y is positive. y**(1791/188) Simplify x**(-2/15)*x*x**(-10/9)*x*(x**(-3/4)/x)**(-28) assuming x is positive. x**(2239/45) Simplify (i*i/(i**0*i))**(3/10)/((((i/(i*(i**13/i)/i*i))/i)/i)/((i*i**(2/37))/i)) assuming i is positive. i**(5311/370) Simplify x**(1/11)/(x*x/x**16)*(x/(x*x**11))/((x**(-16)*x)/x) assuming x is positive. x**(210/11) Simplify (o**19/(o/o**19))/((o*(o/((o/(o/(o/(o/(o*o/o**(-16)))*o)))/o))/o)/o**4) assuming o is positive. o**58 Simplify ((u/(u/(u/u**19)))/u**1)/(u**5)**20 assuming u is positive. u**(-119) Simplify ((b**(5/3)*(b*b**(-2/11)*b)/b)/((b*b**2)/(b/((b*b/(b/b**(3/2)))/b*b))))**9 assuming b is positive. b**(-399/22) Simplify (y**6/y**(-10))/(y**(2/3)*y*y*y)**(-17/4) assuming y is positive. y**(379/12) Simplify (o/(o**18*o))/(o/(o*((o**(1/16)/o)/o*o)/o))*o/o**(-2/19)*o*o**(-21)*o assuming o is positive. o**(-11501/304) Simplify ((p*p**(1/25))/
{ "pile_set_name": "DM Mathematics" }
*g + 66. Does 8 divide g? True Let c = 377 - 210. Let a = -95 + c. Is 12 a factor of a? True Let m(o) = -o**2 + 10*o + 5. Let c be m(10). Let w be 0 - -1 - (-15)/c. Suppose -5*s + 2*f = -60, 2*s - 5*f = w - 1. Is s a multiple of 14? True Suppose -19*h + 29*h = 2380. Does 5 divide h? False Suppose 0 = -0*d + 4*d - 2*n - 2, -n + 3 = 2*d. Let u be (-2 - 2)*d + 5. Suppose -u = 2*z - w - 104, w - 152 = -3*z. Is z a multiple of 17? True Suppose c + 17 = -0*c. Let a = c + 21. Suppose h = a - 1. Is 3 a factor of h? True Suppose -8 - 20 = 2*k - 4*m, 0 = 2*k - 3*m + 26. Does 19 divide (-190)/(-38)*(-44)/k? False Let v = -16 + 18. Suppose -60 = -d - v*k, d + 3 = -4*k + 63. Let p = -8 + d. Does 12 divide p? False Let q be (-9 + 9)/(1*3). Let i(j) = 26 + q + 2*j + 15. Is 14 a factor of i(0)? False Does 13 divide (6 - (-1128)/2) + -7? False Suppose -5156 = -5*d + 4*a - 204, 4*d = -2*a + 3972. Does 10 divide d? False Suppose 4296 = 7*x - 2473. Is x a multiple of 10? False Suppose -f - u = -1, 4*f = 3*u - 8 - 23. Let b(x) be the third derivative of x**5/30 + x**4/6 - 2*x**3/3 - 18*x**2 - 2. Is b(f) a multiple of 6? True Is 31 a factor of 2/4 - (-21375)/30? True Let l(c) = -51*c - 21. Is l(-1) a multiple of 6? True Let k be 6/8 + 111/12. Let r be k/15 - (-415)/3. Suppose -2*p + 3*x = -0*x - r, p - 71 = 2*x. Does 17 divide p? False Suppose 733 = -5*g - 592. Let u = -149 - g. Is 18 a factor of u? False Let n(x) = 2*x**2 + 20*x - 23. Let b(y) = y**2 + 10*y - 11. Let k(t) = 9*b(t) - 4*n(t). Let h be k(-11). Suppose h*c - 6*c + 132 = 0. Is 10 a factor of c? False Is 141 - 29 - (-1 + 0 - 2) a multiple of 5? True Suppose -19*x = -18*x. Suppose -i = 5*p - 0*i - 451, x = 5*p + 5*i - 455. Is p a multiple of 9? True Let v(k) = 3*k**2 + 3*k - 22. Let c be v(-7). Suppose -5*g + 118 = -2*i, 2*g - 4*i = -2*g + c. Is 12 a factor of g? False Suppose 0 = -3*o - 0 - 3. Let q(w) = w**2 - 2*w - 1. Let f be q(o). Suppose 2*t + f*t = 3*j - 238, -2*t = 3*j - 232. Is j a multiple of 39? True Let x be (12 - 14) + 1*2. Suppose 4*j + k - 507 = x, j - 246 = -j - 2*k. Does 32 divide j? True Suppose -y - 40 = -5*n - 0*y, 2*n + 5*y - 16 = 0. Is (-9 + n)/((-2)/358) a multiple of 18? False Let u(j) = -2*j**3 - 2*j**2 - 5*j - 18. Let a(y) = y**3 + 2*y + 1. Let x(s) = 3*a(s) + u(s). Does 8 divide x(5)? False Let i(k) = 4*k**2 + k - 27. Let q(o) be the second derivative of o**4/12 - 7*o. Let z(r) = -i(r) + 5*q(r). Is z(0) a multiple of 27? True Is (-12 + 0)/(3093/(-441) - -7) a multiple of 49? True Let t = 28 + -28. Suppose 5*f - 19 + 4 = t, 3*f = -5*x + 584. Is x a multiple of 6? False Suppose 3*v = -12*p + 9*p + 732, -3*p - v = -740. Does 31 divide p? True Let w = 7 - 14. Let q(l) = -l**2 - 37*l - 79. Let u be q(-34). Let h = w + u. Does 16 divide h? True Is 7 a factor of -178*(-25)/(150/36)? False Is 111/6*(22 + 7 - -1) a multiple of 9? False Let m(q) = -q**3 + q**2 + 4*q. Let i be m(-2). Suppose 2*x - 60 = -i*f + 5*f, 2*x = -4*f + 40. Is x a multiple of 8? False Let d = -158 - -263. Suppose 0 = 4*q + h - 106 - 149, d = 2*q + 5*h. Is 13 a factor of q? True Let k(f) = -f + 12. Let q be 2/(1/(-4 + 6)). Suppose -q*b - 12 = -4*s, s - 17 = 4*b + 4. Does 9 divide k(b)? True Suppose -132 = -5*l + 578. Suppose 3*z = -4*i + 34, 4*z - 2 - 46 = -4*i. Suppose -2*m - z + l = 0. Is m a multiple of 16? True Suppose 46*c - 14291 = 3695. Is c a multiple of 3? False Let m = 342 - 294. Is m a multiple of 16? True Suppose -5*n + 365 = 4*i, 0 = 5*i - 79 + 104. Does 7 divide n? True Suppose -4*g - 4*a - 4 = 64, 5*g - 2*a + 106 = 0. Let j = -15 - g. Is j a multiple of 3? False Suppose -54 = -3*l - 15. Suppose 41 = -l*s + 2654. Does 12 divide s? False Suppose -186 = -8*q + 574. Is q even? False Let b(w) = -2*w**2 - 13*w - 9. Let f be b(-11). Let s = -76 - f. Let a = 11 + s. Does 11 divide a? False Let j be (0 + 3)/(3 + 70/(-24)). Let b = -9 + j. Is b a multiple of 10? False Suppose -3 = 3*h + 5*j, -3*h + 2*j = 2*h + 5. Does 8 divide (-12)/18*(h + 19)*-8? True Let v = 188 + -56. Suppose 0 = -3*q + v + 195. Does 41 divide q? False Let r = -303 - -401. Is r a multiple of 7? True Suppose -94 - 179 = 7*g. Let m = g + 80. Does 12 divide m? False Let u(d) = -104*d + 250. Is u(-11) a multiple of 50? False Let c(t) = t**3 + 18*t**2 + 15*t - 29. Let u be c(-17). Suppose u*w - 435 = 295. Is 13 a factor of w? False Let l(i) = i + 1. Let j be l(-1). Let p be ((-1)/((-3)/2))/(53/159). Suppose j = 2*m - 3*w - 60, -4*w + 31 - 95 = -p*m. Is m a multiple of 6? True Let y be -1 + 4 + 0 + 9. Let q be -4 - -6 - y - 3. Let p(o) = -o**3 - 14*o**2 - 15*o + 6. Is 16 a factor of p(q)? True Let i = -457 - -503. Is i a multiple of 23? True Suppose -m + 5*j + 800 = 0, -2*j - 2202 - 1088 = -4*m. Is 33 a factor of m? True Let m(j) = -15*j**2 + 237*j + 4. Does 9 divide m(13)? False Let c = -65 + 509. Is 6 a factor of c? True Let f(v) = -6*v - 9 - 7*v**2 + 0*v + 8 - v**3. Let k be f(-6). Let u(c) = 52*c**2 - 1. Is 23 a factor of u(k)? False Suppose 30*o = 33658 + 44792. Does 30 divide o? False Let p(g) be the first derivative of -g - 2*g**2 + 3 + 0*g - 7*g - 1. Does 2 divide p(-4)? True Let x = -19 + 23. Suppose 0*r - x*r + 20 = 0, 0 = -3*l + r - 41. Let k = 7 - l. Is 5 a factor of k? False Let w(s) = -s + 7. Let l be w(5). Let t(i) = -i**3 - 5*i**2 + 105. Let v be t(0). Suppose l*h = v + 33. Is h a multiple of 23? True Suppose 0 = 9*m - 3231 - 198. Is m a multiple of 3? True Let y(z) = 195*z - 171. Is y(6) a multiple of 27? True Suppose 2225 = 6*n + 641. Is n a multiple of 33? True Suppose 0 = 4*j - 2*x - 18, -2 = j + 2*x + 6. Suppose 0*b = -t + j*b + 30, -b - 29 = -t. Suppose 2*m = 6*m - t. Is 2 a factor of m? False Let j(v) = v**3 - 8*v**2 - 8*v - 4. Let k be j(11). Let f = k - 171. Is f a multiple of 25? True Let t(y) be the first derivative of -y**6/120 - y**5/30 + 7*y**4/24 + 4*y**3/3 + 2*y**2 - 3. Let x(f) be the second derivative of t(f). Does 4 divide x(-4)? True Is 17 a factor of 5/2 + 776/16? True Let a be ((-36)/42)/((1 + 0)/(-7)). Let j = a + 30. Is j a multiple of 6? True Let c(b) = -b**3 + 2*b**2 - b + 8. Let h be c(0). Suppose h*f - 362 = 182. Does 5 divide f? False Suppose v + 88 = 3*v. Is 7 a factor of (-3 + v/8)*(0 - -20)? False Let o(r) be the third derivative of r**6/10 - r**4/12 + r**3/3 + 13*r**2. Does 6 divide o(1)? True Suppose 2*x = -0*r - 2*r + 8, 3*x = r + 4. Suppose -174 = -0*z - x*z. Is z a multiple of 18? False Suppose n + 2*r - 19 - 1 = 0, 3*n - 60 = -2*r. Let j = 33 - n. Does 9 divide j? False Suppose 3*v + z - 2*z = -67, -v - 4*z = 31. Let l = v + 25. Suppose 69 = 2*j - 3*f, -2*j + l*f + 75 = -3*f. Is j a multiple of 7? False Let j be (-4)/(-6) - 365/(-15). Suppose -3*f = 10 - j. Suppose 0 = -5*p + d + 132, f*p = d + 3*d + 138. Does 10 divide p? False Let g(q) = 4*q**3 + 4*q**2 + 3*q + 1. Is g(4) a multiple of 8? False Suppose -5*c - 4*o = 8, -6 = 4*o - o. Suppose 2*m - 5*b = c, 0*b = 4*m + 3*b. Suppose m*l + l = 22. Is 4 a factor of l? False Let f(s) = -s**3 + 7*s**2 + 2*s - 7. Let q be f(7). Suppose -q*w = -6*w + 63. Let i = -29 - w. Is 12 a factor of i? False Let y(i) = 28*i + 32. Let f be y(16). Suppose 0 = -12*n + 7*n + f. Is n a multiple of 16? True Let z(b) = 4*b**3 - 17*b**2 - 30*b - 21. Does 16 divide z(9)? True Suppose 6*u + 176 = 8*u. Is u a multiple of 2? True Let b = 16 + -21. Is 14 a factor of (-10)/b + -2 - -42? True Let t be 4*-4*(-3)/12. Let w be (-2)/3*60/(-8). Suppose u + 179 = 3*v - u, t*v - w*u = 248. Is v a multiple of 19? True Suppose 0 = -22*w + 12*w + 120. Suppose -425 = 7*r - w*r. Does 14 divide r? False Let p = 474 + -279. Is p a multiple of 13? True Let z = -234 + 147. Let s = 186 + z. Does 33 divide s? True Let k = 124 - -11. Let h = 200 - k. Is h a multiple of 14? False Is 2 a factor of -594*(-2)/3 - -9? False Let f(z) = -z**2 + 29*z - 39. Does 57 divide f(15)? True Suppose 12 = -4*h, -3*p + 2*h - 276 = h. Let o = 7 - p. Suppose -3*j - 2*j + 5*a + 120 = 0, -4*j + o = -3*a. Does 18 divide j? False Suppose 2*z - 22 - 18 = 0. Suppose a + a = -z. Let q = 11 - a. Does 7 divide q? True Suppose 0 = -2*p + 7*p - 225. Let j(r) = -r**2 - 6*r. Let f be j(-6). Suppose -3*g - 6 + p = f. Is g a multiple of 4? False Suppose 7*x + 18 = -2*x. Let k(g) = -2*g**3 + 2*g**2 + 2*g + 1. Let q(z) = z**3 -
{ "pile_set_name": "DM Mathematics" }
common multiple of a and l. 88 Let j = -10135/18 - -564. Let f be 8/2*(1 + 1 + -4). Find the common denominator of j and ((f/(-21))/(-2))/((-6)/(-36)). 126 Suppose 6*g - 4*m = 4*g - 8, 2*m - 2 = 0. What is the common denominator of 95/8 and g/8*(-196 + 2)? 8 Let s be 0 - (116 - (-2 - -1)). Suppose v - 270 = 4*v. Calculate the common denominator of -63/2 and s/v - 0/1. 10 Suppose 0 = -2*x - 9*x + 363. What is the common denominator of 8/(-6)*86/8 and x? 3 Suppose 5*m = -2*i - 6 + 11, 3*i - 36 = 2*m. Calculate the lowest common multiple of 105 and i. 210 Let u be 2/(3*-2) + (-35528)/(-24). Let t = -9013/6 + u. What is the common denominator of -53/6 and t? 6 Find the common denominator of -6/157 and (-1098)/(-144) - 3/(-2). 1256 Let b(f) = 2*f**3 - 32*f**2 + 33*f - 42. Calculate the smallest common multiple of b(15) and 128. 384 Suppose -5*o + 1085 = 380. Calculate the lowest common multiple of 12 and o. 564 Let o = -3640 + 5729. Let p = -8427/4 + o. Calculate the common denominator of 4/(-30)*(3 - (-1488)/(-36)) and p. 36 Let h = -21 + 16. What is the common denominator of 73/22 and (57/h)/(100/125)? 44 Suppose 0 = -5*w - 0 + 20. What is the common denominator of 15/8 and ((-1)/w)/(25/(-390)) + -1? 40 Suppose 2*u - 6172 = 4*g, g + u = 2*g + 1544. Let j = g - -10732/7. Let n = 195/56 + j. What is the common denominator of n and 23/12? 24 Let z = 4313937/160 - 26962. Find the common denominator of z and -61/2. 160 Let u = 2647421263863967 + -2864510420104705537/1082. Let b = -566177393 - u. Let i = b + -1/541. Find the common denominator of i and -85/6. 6 What is the common denominator of 260/184 + (-9)/9 and -55/12? 276 Let f be 6139/118356*466/(-4). Let v = 3/2818 + f. Find the common denominator of v and 75/16. 48 Let d = 45 + -25. Suppose x - 12 = -5*r + 2*x, -x = 2*r - 2. Suppose -v - 22 = -3*m + 54, -r*v + 134 = 5*m. What is the lowest common multiple of m and d? 260 Let g = 45115 - 19670159/436. What is the common denominator of -11/8 and g? 872 Calculate the common denominator of 16/9 and (234/(-4) + 3)*(-6)/243. 27 Suppose 0 = -5*b - 5*q + 15, -358*b + 355*b = -5*q - 49. What is the smallest common multiple of (-2)/(-4) + (-5)/(-2) and b? 24 Calculate the common denominator of -125/18 and 53393/26750 - (0 - -2). 2250 What is the common denominator of (2/(-24))/((-3)/(-858)) and (370/315)/(2/3)? 42 Let m be (-40)/10 + (-14)/(-2). Find the common denominator of 52/33 and 3519/460*(-2)/m. 330 Suppose -312 + 816 = 21*i. What is the lowest common multiple of 11 and i? 264 Let o = 139341 + -19228945/138. Calculate the common denominator of -37/115 and o. 690 Suppose 39 = 5*o + b - 11, b + 13 = 2*o. Suppose 4*s - 32 = 16. What is the smallest common multiple of o and (s/(-21))/(8/(-28))? 18 Suppose 0 = y - 3, 3*u - 2*y = 4*u - 83. Suppose -284 = -4*q + 4*p, 2*q + 2*p - u = 61. Calculate the common denominator of (-4)/14 + (-65)/q and -17/6. 42 Let m = 5/10529 - -936921/336928. Calculate the common denominator of m and 83/24. 96 Suppose 516 = 3*f + 18*v - 21*v, -12 = -3*v. Calculate the smallest common multiple of f and 16. 176 Suppose 10*n - 396 = 6*n. Suppose -d = 5*v + 2*d - n, -4*v = -2*d - 66. Let r = -46 + 58. What is the lowest common multiple of v and r? 36 Let m = -4811 - -942969/196. Calculate the common denominator of m and -54/5. 980 Suppose -5*b - 2 = -42. What is the least common multiple of 21 and b? 168 Let g = -12277 - -122887/10. Calculate the common denominator of g and 12. 10 Let p = -36284/5 + 2830927/390. Calculate the common denominator of 20/143 and p. 858 Let l = -5377/2799 - -10/311. What is the common denominator of l and 11/12? 36 Calculate the smallest common multiple of -110*((-3)/(-3) - -1 - 3) and 9. 990 Let z = -65 - -68. Calculate the least common multiple of (-4)/((-1)/(-2 + z)) and 2. 4 Suppose 9*s - 10*s + 1052 = 5*o, 4*s = -3*o + 638. What is the lowest common multiple of 40 and o? 840 Suppose 0 = 4*l - 3*k - 100, -19*k - 2 = -l - 24*k. Calculate the least common multiple of 6 and l. 66 Let p(g) = -3*g - 10. Let l(n) = -n**3 + 9*n**2 - 7*n - 1. Let j(s) = -s - 4. Let i be j(-12). What is the smallest common multiple of l(i) and p(-5)? 35 Let t be (40/5)/(4/3 + -2). Let j = t + 30. Calculate the least common multiple of j and 52. 468 Let o(b) = b**3 + 11*b**2 - 11*b - 105. Calculate the least common multiple of o(-11) and 92. 368 Let b(j) = 0 + 5*j - 3 + 0*j + 4*j. Let o be b(-3). What is the common denominator of 257/(-60) + (-10)/o and -53/6? 60 Calculate the least common multiple of 20 and (8*2)/((-712)/48 - -15). 480 Calculate the common denominator of 69/8 and (-1)/4*((-306)/(-3))/(-6). 8 Let g = 4553941/852 - 5345. Let s = -1467/284 - g. Calculate the common denominator of s and (-1)/(-2) - (-357)/(-28). 12 Calculate the common denominator of 25 + -7*8/(-112) and 9/232. 232 Let p = 15/2068 - 142379/241956. What is the common denominator of -41/104 and p? 936 Let m(y) = -30*y + 4. Let z = 2 - -1. Calculate the smallest common multiple of m(0) and z. 12 Suppose q + 114 = 5*c, -2*c + 4*c = -q + 40. Calculate the least common multiple of c and 18. 198 Suppose -21 = -3*d - t + 2*t, 35 = 5*d + 4*t. What is the common denominator of 46/21 and ((-35)/(-2))/(d + (0 - 4))? 42 Let x = -69 + 45. Let g(r) = -2*r - 40. What is the least common multiple of 22 and g(x)? 88 Let l = -7 + 8. Suppose 4*u = -3*z + 58, -5*z + 2*u + 7 + 107 = 0. Calculate the least common multiple of z and l. 22 Let y(r) = -r**3 - 3*r**2 + 33*r + 41. What is the smallest common multiple of y(-7) and 4? 12 What is the common denominator of 2/44*(-330)/11 and -107/12? 132 Calculate the common denominator of 1*((-194)/(-4) - -2) and (-202)/12*(6 - 297/44). 8 Let z = 4727/10 - 475. Calculate the common denominator of ((-24)/15 + 2)*(-2555)/(-28) and z. 10 Calculate the common denominator of -58/85 and (68/(-14))/((-24)/(-448)*-20). 255 Let v(q) = 183*q**3 - 4*q**2 + 2*q + 1. What is the least common multiple of v(1) and 143? 2002 Suppose -3*v - 195 = -4*v. Let k be ((-144)/v)/((-7)/15). Let j = 1457/1092 + k. Calculate the common denominator of -61/12 and j. 12 Suppose 35*p - 80 - 95 = 0. Calculate the least common multiple of 2 and p. 10 Find the common denominator of (-3)/9*58/(-6) and 435/156*(-6)/20*4. 234 What is the common denominator of -53/175 and -2 - (11 - 17871/1400)? 1400 Let r = 14 - 36. Find the common denominator of 438/(-8)*(2 + (-10)/6) and 4/r + 606/308. 28 What is the common denominator of -17/25 and (485/(-100) + 5)/(15/(-74))? 50 Let o = 320370 - 2559171/8. Let d = 472 - o. Calculate the common denominator of d and -75/8. 8 Let h = -290 + 293. What is the lowest common multiple of 7 - 11 - 1*-25 and h? 21 Calculate the common denominator of (-7)/(-21)*(-10947)/164 and (-206)/96 - (-4)/(-6). 16 Let g(r) = -r - 8. Let z be g(-7). Let y = -2993/4 + 771. Find the common denominator of 2*106/24 + z and y. 12 Suppose -4 + 0 = k, 0 = 2*v + 3*k + 18. Let h = v - -7. Calculate the common denominator of h/32 - 407/24 and -77/6. 6 Suppose -44*i - 22 = -45*i. Let n(p) = 2*p**3 - 19*p**2 - 9*p - 2. Calculate the smallest common multiple of i and n(10). 88 Let a be ((-5301)/(-4200))/((-8)/60). Let r = -176/35 - a. Calculate the common denominator of r and 24/(-10)*(-26)/32. 80 Suppose -85 = -5*y - 15. What is the common denominator of (36/8*y)/(-46) and 101/6? 138 Let p(i) = -i - 8. Let n be p(-4). What is the common denominator of 87/16 and (609/150 + n)/((-12)/(-470))? 80 Let z = -26114 + 79234/3. Let x = -27310/11 - -459964/165. Let a = x - z. Find the common denominator of 109/6 and a. 30 Let c = -213 + 582. Calculate the least common multiple of 15 and c. 1845 Let k = -2803 - 4451. Let n = 72621/10 + k. Find the common denominator of -15/22 and n. 110 Let t = -12911/24 - -1627/3. Let j be 0/(-2) - 968655/240. Let r = j + 4034. Find the common denominator of t and r. 16 Let t(q) = -59*q**3 - 6*q**2 + 6*q - 1. Let i be t(-5). Let s = i + -57459/8. Calculate the common denominator of (30 + 0)/((-24)/(-30)) and s. 8 Suppose 107 = 5*n - v, 3*n - 4*v - 29 = 42. What is the lowest common multiple of n and 77? 231 Suppose -3*n + v = 15, 4*n + 2*v + 10 = 2*n. Suppose 274*l = 278*l + 8. What is the least common multiple of 6 and 17 + (l -
{ "pile_set_name": "DM Mathematics" }
((19 - 31) + 15). 2 Calculate -2 + -8 + (-24 - (1 - -12 - 18)). -29 Evaluate (-13 - -15 - -11) + (-1 - 2) + 2. 12 Calculate -4 + -6 + 9 + -17 + 18. 0 What is (-5 + -8 - -16) + -3? 0 (-145 - -132) + (-4 - (-1 + -28)) 12 What is the value of -2 - -11 - (382 - 389)? 16 Calculate 359 + -335 + -5 + -1 + -1 + 1. 18 What is the value of (22 - 2) + -3 + -6? 11 -2 - -2 - 1 - (-9 - (19 + -5)) 22 What is (10 - (4 - (7 + 4))) + 11? 28 What is 2 - (-16 - (-2 - 18))? -2 59 + -13 - 39 - (1 - 13 - 0) 19 (-10 - -36) + (4 - 14) 16 What is the value of 8 + (-7 + -22 - 3)? -24 Calculate 12 + 1 + -13 + 7 + -6. 1 What is the value of (-3 - 6 - -2) + 15 + -3 + 1? 6 What is the value of -5 + 4 + 4 + -23 - (-3 + 1)? -18 What is -12 - -12 - 1 - (-2 - 14)? 15 What is -1 - -1 - (-2 + 17 + -18)? 3 Evaluate 17 - 7 - (-12 - -13). 9 (-29 + 43 - 27) + 31 18 Evaluate 0 + -2 + 11 - (9 + -48 + 30). 18 Calculate 0 + 11 + 1 + -510 + 500. 2 Calculate (-6 - 5 - -17) + 22 - (-2 + 0). 30 -4 - (-103 + 130 - (15 - 2)) -18 Evaluate -1 + 4 - -28 - (232 + -224). 23 Evaluate (0 - 33) + -241 + 256. -18 Evaluate -15 - -3 - (-56 + 50). -6 What is the value of 0 + 8 + (-41 - -103 - 47)? 23 (-3 - -4 - (-11 - -2)) + -27 + 30 13 Calculate (5 - -4) + (6 - (45 + 0)) + 1. -29 What is the value of 16 - (-9 + 31 - 11)? 5 What is the value of 26 + -16 + 8 + -23? -5 -13 - (-24 + 7) - 17 -13 What is 24 + (-20 - 8 - -29)? 25 Calculate -30 + 28 + -24 + 8. -18 Evaluate 0 + (-9 + 9 - -9) + -24. -15 What is the value of -11 - (-17 - (7 + -2))? 11 What is the value of 17 + (-19 - (6 + -20))? 12 Evaluate 10 + -20 + 11 - -12. 13 What is the value of 9 + 2 + 7 + -5 - 9? 4 -13 + 17 - 0 - (3 - 0 - -2) -1 What is 8 - 0 - (-35 + 44 - -9)? -10 What is the value of (0 - 0) + 33 + -5 + -2 + -11? 15 Evaluate 2 + 24 + -1 + -4 + -4. 17 Calculate (0 - -1) + -41 + 15 + 16. -9 21 + -11 + -1 + -3 6 Calculate -15 - -1 - (-4 + 2 - (-2 - 0)). -14 Calculate -1 - (-19 - (-18 - (-6 + -3))). 9 What is the value of (-3 - (2 - -3)) + -17 + -12 + 29? -8 What is the value of -9 + 3 + 8 + -6? -4 Calculate -3 - -1 - (-22 - (-11 + 23 - 34)). -2 What is -11 + -28 + 34 + -11? -16 What is -17 + 31 + -22 + 28? 20 (7 - (4 - ((-5 - -5) + -1))) + 0 2 Evaluate -4 - (8 + (8 - 13) - (1 + 0)). -6 What is 12 + (3 - (5 - -6)) + (2 - 0)? 6 Calculate ((-8 - 5) + 5 + 1 - -8) + 6. 7 (1 - -8) + -3 + -5 + 9 10 Evaluate 1 + (4 - 3 - 4). -2 Evaluate (0 - -7) + (-4 - -4) + -5 - 4. -2 Evaluate 172 + -172 + -15 + 2. -13 Calculate 1 + -12 + 2 - -2 - (341 - 344). -4 6 + 15 + -21 + 17 - (2 + 6) 9 Calculate -14 + (15 - (6 - 0)) - -18. 13 Calculate -31 - -19 - -27 - (5 - -1). 9 What is the value of -16 + 1 + 2 - (714 - 733)? 6 What is the value of -12 - (-2 + (4 - 9)) - -11? 6 What is -13 + 19 + 26 + -26? 6 (-7 + (-6 - -16) - (9 + 1)) + 11 4 What is the value of -2 + -15 + 33 + 3 + -1 + 2? 20 What is 23 - ((16 - 6) + 9)? 4 (23 - 1) + (192 - 211) 3 What is (5 - (-15 - -32 - (5 - 2))) + -9? -18 -12 - -8 - -12 - (-7 - -13) 2 What is the value of 12 + 22 + -11 + 2 + 2 + -13? 14 What is 8 + -24 + (-10 - -17) - -35? 26 What is the value of -9 + (2 - -3) + -2 + 104 + -109? -11 What is -13 - (-6 - -2) - (-18 - (37 + -19))? 27 Evaluate 7 - 2 - (-25 - -44). -14 Evaluate 4 + (10 - 4 - 4) + 7. 13 -4 - (-14 - (-3 + -10)) -3 (2 - 1) + (5 - -1) - (15 + -2) -6 Calculate -19 + 2 - (6 + -12) - -7. -4 Evaluate (-38 - -17) + -9 - -55. 25 Evaluate (7 - -15) + -6 + -35. -19 What is the value of (0 - 17) + 1 - 3? -19 Calculate -15 + (21 - -2 - 30). -22 (-22 + 23 - 13) + 10 -2 What is -3 + 1 + 4 + (-1 - -4)? 5 -10 - (-3 + 1 - 9) 1 Calculate -14 + (14 - 1) + 2. 1 What is 2 + (15 + -7 + -11 - 16) + -4? -21 What is the value of -22 + (20 - 40 - -26)? -16 Evaluate (-7 - (11 - 15)) + (1 - 0) + 20. 18 Calculate -8 + (2 + -9 + 3 - (-10 + -1)). -1 What is the value of (-79 - -87) + (4 - 7) + 0 + -19? -14 Calculate 4 - (2 + (5 - (-9 + 6 - -18))). 12 Evaluate 19 + (14 - 12) + -33. -12 What is 4 + (4 + 12 + -3 - 21)? -4 Evaluate 2 - ((17 - 32) + 24 - (0 + 2)). -5 Calculate -1 + (18 - 20 - (0 + -11 + 2)). 6 Calculate (7 - -1) + 18 + -31 + -9 + 2. -12 What is (-5 - -5 - -28) + -4 + -9? 15 15 - (10 + (-6 - -15)) -4 Evaluate (-23 - -30) + -13 + 3. -3 Evaluate (-122 - -128) + (1 - -1 - -3). 11 Calculate -11 - (22 - 13 - 9 - 12). 1 What is the value of 17 + (8 - 33) - -8? 0 Calculate 10 - 2 - (1 + 13 - (-48 - -39)). -15 Evaluate (-11 + 24 - 31) + 13 + -2. -7 What is the value of (-10 - -20 - -5) + -13? 2 What is the value of (-4 + 6 + -8 - -9) + -10? -7 Calculate 37 - (48 + -28 + 25). -8 Calculate -2 - (18 + -15 - 19) - 4. 10 What is the value of 9 - ((3 - (2 + 3)) + 6)? 5 What is the value of 0 + -3 + 9 - (6 - (3 + -6))? -3 Evaluate -6 + (5 - -1) + 3 - -17. 20 What is the value of (15 - 23 - -1) + 16? 9 (5 - 25 - 0) + 49 + -42 -13 Calculate 3 + 1 - (0 + -6 + -3 + 3). 10 Calculate (40 - (1 + 9)) + -20. 10 -1 + 24 - (82 - 76) - 7 10 Evaluate -42 + 39 + -6 + -1 + 0. -10 -1 + 0 + 48 + -47 + -4 + -5 -9 (-2 - (1 + -5)) + -1 + (-18 - -9) -8 What is 5 - (2 - (2 + -9 + (-1 - -3)))? -2 What is the value of (-1 - (6 + -9 - (-3 + 1))) + 20? 20 What is the value of (-2 - (1 + 4)) + (-4 - -14) - 3? 0 What is 23 - (24 - 24) - 22? 1 What is 0 + 6 + (-77 - -57)? -14 What is 3 + -7 + -5 + 2 + (-47 - -70)? 16 What is 164 - 146 - (20 - -2)? -4 (-4 - (-2 + 1) - (-22 + 24)) + 0 -5 Evaluate 12 + (-12 - 17) + 10. -7 What is 82 + -84 + (-2 + -1 - -5) + -12? -12 Calculate 17 - (15 - -13 - 19). 8 What is the value of -14 + (1 - 1 - (9 - 6))? -17 What is the value of -1 + -1 - (16 - 8)? -10 What is the value of (-1 - -25 - (92 - 79)) + (8 - -1)? 20 What is -7 - -2 - (12 - 26) - (7 + 1)? 1 2 + -4 + -2 + 22 + 26 + -52 -8 What is -268 + 295 - (-2 - 1)? 30 Calculate 4 + -3 + (-3 - (2 - 5)) + 2. 3 Evaluate -5 - ((-3 + 8 - 3) + -6). -1 What is 23 + -19 + 6 + -24? -14 Calculate (-2 - 9) + -11 - -13. -9 What is -3 + -4 + (11 - 43 - -16)? -23 What is 8 + -18 + 20 + -4? 6 Evaluate -11 - (3 - (-13 - -15)). -12 Calculate (-5 - (0 - (7 + -7))) + -7 + 35. 23 What is (-13 + 7 - -6) + -3 + 0? -3 Evaluate 0 + 0 + (-12 - (-13 + -3)) - 6. -2 What is the value of -15 - 0 - (9 - 3 - (-25 + 30))? -16 Calculate -2 - -3 - (-6 + (0 - -19)). -12 What is 7 - (13 - (3 + 3)) - -9? 9 What is 0 + -7 - (-2 - (-15 + 11))? -9 Calculate (3 - -34 - 32) + -25 + -1. -21 -79 - -42 - -44 - (-9 + 1) 15 What is the value of -11 - (-17 - (-21 - -10))? -5 -13 + (1 - 1 - 12) + 3 -22 What is (70 - 66 - (-2 - 12)) + -6? 12 What is 20 + (31 + -12 - 45)? -6 What is -11 - (1 - (-1 + 5 + 9))? 1 What is -87 + 112 - (26 - 5)? 4 What is -12 - (-9 + (-10 - -15) + -5)? -3 Calculate -12 + -17 - -20 - 15. -24 Calculate -6 - ((-1 - (-4 - -9)) + -1) - 25. -24 What is -10 + (21 - -2) - (33 - 2)? -18 (23 - 13) + 9 + 1 + 3 - 3 20 What is the value of 31 - ((-15 - -23) + 16)? 7 Evaluate 15 - (19 - 9 - 14 - 8). 27 What is the value of -20 + (-15 - 0 - -28)? -7 -4 + -11 + (5 - -2) + 37 29 What is the value of (-15 - 2) + -5 + 49 + 5? 32 Calculate -1 + -21 + (59 - 71) + -1 + 12. -23 What is the value of 16 + -3 - (-5 + (22 - 5 - 7))? 8 What is -6 + 17 + 1 + -1? 11 What is the value of 13 + -4 - (7 + -3) - (10 + 1)? -6 Calculate (11 + -13 - -23) + -4. 17 Evaluate -3 + (2 - (-9 + 0 + 19)). -11 What is -2 - -9 - (5 + (10 - 18))? 10 Evaluate -3 + 4 - (4 + -8 + -1 + -1). 7 Calculate 1 + -7 - (3 + (52 - 66)). 5 Calculate (-2 + -16 - -56) + -36. 2 Evaluate 41 + (-13 + 1 + 8 - 13). 24 Evaluate -12 + (-21 - (-13 + -2)) + 47. 29 What is the value of (2 - 1 - (-1 + 0)) + (-17 - -14)? -1 -3 + 0 - (8 + (-14 + 12 - 3)) -6 Calculate -44 + (36 - (25 + -18)). -15 Evaluate 15 - (-3 + -8 + 4 + 7 + -1). 16 Evaluate (8 - 10 - -18) + -9. 7 10 - (8 + (2 - 10)) - 24 -14 Evaluate 5 + -26 + 11 - -6. -4 What is 36 + 25 + -95 - -28? -6 -4 + 6 + (6 - 41) -33 What is the value of -185 - -147 - (-17 - 0)? -21 What is the value of (9 - 15) + (3 - ((3 - -3) + -8))? -1 22 + (5 - -3) + (8 + -17 - -14) 35 Calculate (22 - 7) + 2 - 8. 9 Calculate (-75 - -77) + (-2 - -11) + -3. 8 -6 + (-2 + (-4 - -2) - -3) - 18 -25 What is (-7 - (2 - (-6 + 9))) + 0 + -6? -12 Calculate 6 - ((-6 - -8) + -10 - -1). 13 What is (-115 - -97) + (17 - 0) - 20? -21 Evaluate 42 + -36 + (-2 + 1 + 2 - -4). 11 -2 + (-5 - (-2 + -1)) - -20 16 What is (-11 + 48 - 8 -
{ "pile_set_name": "DM Mathematics" }
et m(y) = 2196*y**2 - 56*y - 23. Is m(-11) prime? False Let x be (-1)/2 + 99/6. Let j = x + -10. Suppose -j*m + 974 = -40. Is m a prime number? False Let v be (-6)/(-15) - (-12)/(-5). Let g(n) = 3*n**2 + 10*n - 87. Let i be g(-7). Is (12/i)/(v/85) prime? False Let y = 32 - 18. Suppose -h + 8*h - y = 0. Suppose -18 + 272 = h*d. Is d prime? True Let h(y) = -y**3 + 8*y**2 + 23*y + 5. Let f be h(10). Let s be 7 - (3/5 + (-187)/(-55)). Suppose -5*u + f = r + 3*r, -u = s*r - 18. Is u prime? True Suppose 34*y + 30*y = -22*y + 14428306. Is y composite? False Suppose 0*i + 10 = 2*i, 301 = -4*u + 5*i. Let k = -69 - u. Is 1*1/((-3)/(-2517) + k) a composite number? False Suppose -2 = a + 1. Let p(j) = -344*j + 73. Let y(r) = -86*r + 17. Let h(v) = -2*p(v) + 9*y(v). Is h(a) a composite number? True Suppose 5*s = -7*a + 4*a + 3128, 4*a = 3*s + 4219. Suppose -5*b = -3*p + a, -3*b - 293 = 2*p + 349. Is (-13)/(852/b - -4) composite? True Let l(k) = 69*k + 32. Let a be (-23 - -10)*(3 - (-3 + 7)). Is l(a) a composite number? False Let v be 2*(-3)/2 + 9516. Suppose -18*q = -20205 - v. Is q prime? False Let i = -1575 + 1574. Let l(m) = 4*m + 1. Let y be l(-1). Is -1*(y + 616)*i prime? True Suppose -5*v + 4*z = -1607, 5*v + 3*z - z - 1619 = 0. Suppose -4*w - 3*q = q - 1260, v = w + 3*q. Is w prime? True Suppose 3*h = 9*h - 30. Suppose z - i - 1127 = 0, h*z + 4*i + 196 = 5813. Suppose 907 + z = 8*o. Is o prime? False Let g(n) = 21*n + 4142. Let k be g(0). Suppose 4 = -3*v - 8, -2*b + v + k = 0. Is b a composite number? False Suppose 3*w - s = 3131, -5*s + 1033 = 65*w - 64*w. Suppose 0 = 5*g - 4720 + 1390. Suppose 0 = -l + g + w. Is l composite? False Let p(l) = 29506*l + 159. Is p(5) a prime number? True Let n(z) = -4008*z - 11. Let h be n(-3). Suppose 6008 = u + 7*y - 6*y, -y - h = -2*u. Is u composite? False Let y be (-511476)/252 - (1 + -2)/(-3). Let r = y - -4191. Is r a composite number? False Is (-2740433)/(-387) + (-116)/36 + 3 a prime number? False Let s be (-1176)/10 - 0 - 27/(-45). Let c = s + 334. Is c a composite number? True Let i be 32 - (35/7 - 0). Suppose i*y = 5*y + 142714. Is y a prime number? False Let p(q) = -138*q. Let m(f) = -139*f + 1. Let s = -14 + 18. Let d(w) = s*p(w) - 5*m(w). Is d(8) composite? True Let u = -17253 + 170132. Is u prime? True Let g be (21/6 + -5)/((-6)/8). Suppose -v - h = -87, 4*v + h + g*h = 350. Is v prime? True Suppose -1 = -31*u - 1. Suppose u = -16*s + 25654 + 8698. Is s a prime number? False Suppose -45833750 - 55229742 = -93*r - 23*r. Is r a composite number? True Let b be (0 - 0)/(6 - 5). Let d(i) = 4*i**2 - 2*i + 5261. Is d(b) a composite number? False Let m(a) = 2*a**3 - 97*a**2 - 208*a - 211. Is m(64) composite? False Let k(s) = -44*s**3 - 14*s**2 - 9*s - 67. Is k(-10) a prime number? False Let t(b) = 846*b**2 - 1331*b + 31. Is t(16) a composite number? False Let j = -194767 - -296034. Is j a composite number? False Let g(t) = 48*t**2 - 10*t - 15. Let j be g(-10). Suppose -5*x - 5*u + 2619 = -2251, -j = -5*x - 2*u. Is x prime? False Let l(p) = 6*p**2 - 88*p - 739. Is l(-53) a composite number? True Is (1 - (5 - 10))*(-2492485)/(-15) + 3 composite? True Let g(l) = 12391*l - 12661. Is g(12) composite? True Let a(x) = -15544*x + 959. Is a(-18) prime? True Let c = 3040600 + -2147223. Is c prime? False Is (-3*40/9 - 6)*3183/(-2) a composite number? True Suppose 3763*x - 3760*x - 538487 = 4*b, 2*b = -5*x + 897487. Is x a composite number? False Let q(k) = 9*k + 502. Let s be q(22). Let i = -3 - -5. Suppose i*u - 7702 - s = 0. Is u a prime number? True Let o(s) = s**3 + 18*s**2 - 17*s - 21. Suppose 6*m - 2*m + 2*h - 22 = 0, 3*h - 3 = 0. Suppose 6*v = m*v - 17. Is o(v) a prime number? True Let c be (-3 - -2)/(-1*2/4110). Let p = 3046 - c. Is p composite? False Suppose -q - 4312 = -5*h + 2*h, 3*h - 4*q = 4324. Suppose 2*i = -2*c - h, -2*c - 2*c + i = 2857. Let j = 1206 + c. Is j composite? False Let p(k) = -8 + 3*k - 2 - 7. Let y(q) = 3*q**2 + 50*q - 5. Let f be y(-17). Is p(f) prime? True Let p(a) = -4*a - 9 + 15 - 9 + 3129*a**2 - 6*a - 12. Is p(-2) composite? True Is (-1122912)/(-9) + 2 + -5 a prime number? False Let u = -169749 - -276470. Is u a composite number? False Suppose 0 = -15*y + 519 + 24876. Let f = y + -873. Suppose 0 = 7*m - f - 2967. Is m a composite number? False Suppose -28099 = -h + 3*w, 4*h - 91713 - 20767 = -2*w. Is h a prime number? False Suppose -12487225 = -5*f - 5*z, f - 2*z = -z + 2497449. Is f a composite number? False Let x(u) = 15494*u**2 + 221*u + 646. Is x(-3) prime? True Let j(u) = -2*u + 3. Let w be j(3). Let b = -5283 + 5280. Is 4*445 - w/(b + 0) a prime number? False Suppose 8*a - 30*a = -264. Suppose -790 = -14*s + a*s - 2*m, -5*s + 3*m = -1991. Is s composite? False Let y(u) = 51*u**2 + 113*u + 11. Let l be y(-17). Let q = -8886 + l. Is q composite? False Is 5215 + (4/8)/(378/(-48) + 8) prime? False Let o(p) = -3980*p + 531. Is o(-5) a prime number? True Let j(h) = -1028*h - 15. Let a be j(-4). Suppose -5*q - 6*r + 6865 = -10*r, 3*q = -2*r + a. Is q a prime number? False Suppose -46894486 + 48429838 = -206*d + 107062766. Is d a prime number? True Let j(b) = 10459*b - 1280. Is j(33) a composite number? True Let a(v) = 2*v**3 - 4*v**2 + 68*v - 257. Is a(58) a prime number? False Let r be 143832/36 - (-4)/6. Let i = r + -985. Suppose 3557 + i = 4*a. Is a a prime number? False Let l(a) = -2*a**2 - a - 12. Let p be l(-5). Let z be (5 + -2 - p/(-15))*-1285. Suppose 3*b = -b + z. Is b a composite number? False Let s(n) = -7*n - 3*n - 38 + 3*n. Let y be s(-6). Suppose y*x = 2659 + 1113. Is x a prime number? False Suppose 16*v - 16736881 = -33*v. Is v composite? False Suppose -c = -13*n + 12*n - 6017, 3*c = -3*n + 18081. Let l = -2993 + c. Is l a prime number? False Suppose 6*w - 1721915 = 19*w. Is (-10)/7 + 2 + w/(-35) a composite number? True Suppose 4*h - 2*j = -h + 24937, -4*h + 4*j = -19952. Is h a composite number? False Is (-27)/(1620/105) + (1 - 1733661/(-12)) prime? False Is (166856*(-91)/14)/(-4) prime? False Let z(g) = g**3 + 2*g**2 - 16*g - 303. Is z(16) a prime number? True Suppose -1560804 - 3566726 = -95*m. Is m a composite number? True Suppose d - 6*d + 10 = -2*q, d = -2*q - 10. Is (-71284)/q - 12/(-60) a prime number? False Suppose 4*q + x = 81, -4*q = -6*x + 4*x - 78. Suppose 0 = q*w - 21*w + 2. Suppose -w*n + 4*n - 3*o = 3082, -5*n - 5*o = -7655. Is n composite? True Let w(i) = 2904*i + 165. Let z be w(31). Suppose -14*t - 3*x - z = -18*t, -5 = -x. Is t a prime number? False Suppose 4*x - 69*x = 78*x - 43299971. Is x a prime number? False Suppose 28*u - 4169293 + 1471540 - 3909883 = 0. Is u prime? False Let c(z) = 20638*z - 625. Is c(29) composite? True Let w = -159 + 69. Let q = w - -88. Is q/(-8 + 22) + 8366/7 prime? False Suppose 0 = 12*o + 3*o - 5203 + 1318. Is o composite? True Suppose 0 = -4*a - 16, 3*y - a - 4*a = 4658. Let c = y + -575. Is c composite? False Suppose q = -6*u + 547452, -4*u = -2*q - 147952 - 217032. Is u composite? False Let j = 120 + 228. Let r = 1849 - j. Is r a composite number? True Suppose 7 = -12*h + 31. Suppose 0 = -4*q + 3*k + 13679, -4*k + h*k = -4*q + 13678. Is q prime? False Is (-452)/(-12)*45505/(-38)*(-18)/15 a composite number? True Let j = 32125 - 21806. Is j a prime number? False Let h = 129 - 29. Suppose 839 = a + h. Is a a composite number? False Let w = -48927 + 378418. Is w a prime number? False Let t = 219995 + -83184. Is t prime? True Suppose -3*a + 47 - 170 = -n, -4*a - 164 = -2*n. Let q = a - -822. Is q prime? False Let u(z) = -162*z**3 + 6*z**2 - 31. Is u(-22) composite? True Let v be ((-826)/5)/(13/325). Suppose 11*j - 58429 - 8748 = 0. Let p = j + v. Is p a composite number? True Let b be 7*(-2 + (-12)/(-7)). Is b/((-24)/18369) - (-1)/4 a composite number? False Let o = -40245 + 24039. Let c be (-1 + (-1 - -14))/((-148)/o). Suppose -2*v + c = 2*u, -5*v + 2632 = -v + 5*u. Is v composite? False Suppose 10*h = -6*h - 632064. Is 17/85 + h/(-5) composite? False Let j(t) = -388*t - 4 - 2 - 1 + 393*t. Let u be j(5). Let o = 395 - u. Is o a prime number? False Let j = 14907 + -613. Let m = -9925 + j. Is m prime? False Suppose 34*f + 90 = 39*f. Suppose 81*c = f*c + 143577. Is c prime? False Suppose -l - 3*l = -0*l. Suppose j = -
{ "pile_set_name": "DM Mathematics" }
*2)*(s - s + 2*s**3) + 0*s**2 - 2*s**5 + 0*s**2. 5*s**5 Expand (4 - 1 - 2)*(3 - 3 + 2*c**4) - c**4 + 4*c**4 + c**4 - c**4 + 3*c**4 - 4*c**4. 4*c**4 Expand (4*u + 2*u**2 - 4*u)*(-22 + 2*u + 22)*(3*u**2 - 3*u + 3*u). 12*u**5 Expand (0*t + 0*t - 2*t**4)*(3 - 4 + 2) + (3 - 3 - 2)*(0*t**4 + t**4 + 0*t**4). -4*t**4 Expand (-v - 3*v + v)*(9*v**2 - 4*v**4 - 9*v**2) + v**4 - 2*v**2 - 2*v**4 + v**5 + 3*v**4. 13*v**5 + 2*v**4 - 2*v**2 Expand (-t + 1 - 1)*(-6*t**2 + 2*t**2 + 3*t**2)*(7*t + 2*t - 4*t). 5*t**4 Expand a + a - 5*a - 5*a + 2*a + a + (2*a + a - 4*a)*(1 - 5 + 3) + (-2 - 3 + 4)*(3*a + 0*a - 4*a). -3*a Expand (3*i**4 - 2*i**4 - 6*i**4)*(4*i - 5*i + 4*i). -15*i**5 Expand (-15*j + 6*j**4 + 15*j)*(3 + 1 - 2) + (j + 5*j**2 - 4*j - 4*j**2)*(-3*j**2 + j**2 + 0*j**2). 10*j**4 + 6*j**3 Expand (-w**2 + 1 - 1)*(2 - 2 - 1)*(2*w - w - 2*w) + (2*w - 3*w + 5*w)*(-1 + w**2 + 1). 3*w**3 Expand (26*v**2 - 26*v**2 + 13*v**4)*(-1 + 1 + v)*(-1 - 2 + 1)*(5 + 0 - 3). -52*v**5 Expand (-3*h**2 + 4 - 4)*(-5 + 2*h - 3*h + 8) + (-4*h + 0*h + 3*h)*(-h**2 + h**2 - h**2). 4*h**3 - 9*h**2 Expand (5 - 1 - 2)*(-3 + q**2 - 3*q**2 + q**2). -2*q**2 - 6 Expand -u**3 + 5*u**3 + 4*u**3 + (u - u - 3*u)*(4*u**2 - 3*u**2 - 2*u**2). 11*u**3 Expand -a**3 + 2*a - 2*a + (1 - 7 + 2)*(a**3 - 3*a**3 + 0*a**3) + 9*a**3 - a**3 + a**3. 16*a**3 Expand (-f + 2*f**3 + f)*(6 + f - 6) + 73*f**2 + 11*f**4 - 73*f**2. 13*f**4 Expand (m - 2*m - 11*m)*(-m**2 - 4*m**2 + m**2). 48*m**3 Expand 4*r**2 - 3*r**2 - 3*r**2 + (17 - 8 - 10)*(2*r**2 - 4*r**2 - r**2). r**2 Expand (0 - 5 + 3)*(u**2 - 5*u**2 + 5*u**2) + 4*u - 4*u + 2 + u**2. -u**2 + 2 Expand (-21 + 21 + 2*j**2 + 2*j)*(4 + 0 - 3). 2*j**2 + 2*j Expand (o + 0*o + 7*o)*(-o**4 + 3*o**4 - 3*o**4). -8*o**5 Expand (-c**5 + c**5 - 3*c**5 + 4*c**2 - 4*c**2 - 2*c**5 + (0 + 0 - c)*(2*c**4 + c**4 - c**4))*(-5 + 5 - 4). 28*c**5 Expand (-8*s**2 + 5*s**2 + 3 + 4)*(0*s + s**2 + 0*s). -3*s**4 + 7*s**2 Expand 2*h + 0*h - h**3 - h - 6*h**3 + 10*h**3 + 0*h**3 + (2*h**3 - 4*h**3 + h**3)*(-2 + 1 - 1). 5*h**3 + h Expand ((-3*q + 2*q + 2*q)*(1 + 1 - 4) + 3*q - q - q)*(7 - 7 + 16). -16*q Expand (-2*y**2 + 2*y**2 + y**3)*(2 + y - 2) + 4*y**4 + y**4 - 2*y**4. 4*y**4 Expand (r**2 - r**2 + 2*r**2)*(4566*r**2 - 4566*r**2 + 76*r**3). 152*r**5 Expand (3 - 3 - 2*z)*(-14 + 77 - 7). -112*z Expand (-1 - p**2 + 1)*(2 - 30*p - 4 + 21*p). 9*p**3 + 2*p**2 Expand 23*c - 23*c - 4*c**2 + (-3 + 2 + 2)*(c**2 + 4 - 4) - c**2 + 0*c**2 + 3*c**2 + 3*c + 3*c**2 - 3*c. 2*c**2 Expand (0 + 0 + 2*g)*(-6*g**2 + g**2 + 4*g**2) + (-g**3 + 2 - 2)*(-1 + 4 - 2). -3*g**3 Expand (0*m + 3*m - 4*m)*(-4*m + 3*m + 0*m) + 62 + 8*m**2 - 62. 9*m**2 Expand (v**2 + 0 + 0)*(v + v - 3*v) + v**3 - 3*v**3 + 4*v**3 + v**3 + 2*v**2 - 2*v**2. 2*v**3 Expand ((-3*s + 4*s + 4*s)*(s**2 - 2*s**2 + 0*s**2) + s**3 - 3*s**3 + s**3)*(-3*s + s + s). 6*s**4 Expand -3*w**5 + 0*w**5 + 0*w**5 + (6*w**5 - 4*w**5 - 3*w**5)*(8 - 1 - 2). -8*w**5 Expand (3*g - 3*g + 2*g**3)*(-3*g**2 + g**2 - 2*g**2) - g**5 - 7*g**3 + 7*g**3. -9*g**5 Expand 3 - 3 - d + (-3 + 1 - 4)*(0 + 0 - d) + 0 + 6*d + 0 - 2*d + 3*d - 2*d. 10*d Expand (-11*j - 20*j + 21*j)*(2*j**4 + 3*j**4 - 6*j**4). 10*j**5 Expand (3 - 2 - 5)*(2*g + 0*g - g). -4*g Expand -3*k + k + k + (-2 + 2 + 2*k)*(1 - 6 - 1). -13*k Expand (4 - 2 - 1)*(-2*f**2 + 2*f**2 - 2*f**2 + (1 + 5 - 2)*(4*f - 4*f - f**2)). -6*f**2 Expand 0*o**5 - 3*o**5 - o**5 + (2*o - o - 3*o)*(-2*o**4 - 4*o**4 + 5*o**4). -2*o**5 Expand ((-1 + 4 - 2)*(0*z + 3*z - 5*z) - z + 3*z - z)*(-4*z**2 - 2*z**2 + 0*z**2). 6*z**3 Expand -2*a**4 + a**4 + 4*a**4 + (0*a + 5*a**3 + 0*a)*(3 - a - 3). -2*a**4 Expand (3*r**2 + r**2 - 5*r**2)*(2*r**3 + 4*r**3 - 5*r**3 + (11 - r - 11)*(0 + 2*r**2 + 0)). r**5 Expand (0*t**2 + 3*t**2 - t**2)*(-3*t + t + 3*t) - 4*t**3 - 3*t + 3*t - t. -2*t**3 - t Expand (2*t**3 - 2*t**4 + 4 - 4)*(0*t - 3*t + 7*t). -8*t**5 + 8*t**4 Expand (-1 + 4 - 1)*(0*q - 3*q - 3*q)*(-2 + q**2 + 2). -12*q**3 Expand 2 + 2 - 8 - 6*x - x + 2*x - 3*x + 0*x + x - 3*x + (1 + 2 - 2)*(-3*x + 3*x - 2*x) - 2*x - 2*x + 3*x. -13*x - 4 Expand (-5 + 2 + 1)*(-5 + 6 + 8*l + 0). -16*l - 2 Expand (a + 3*a - 6*a)*(4 + 0 - 6) - 4*a + 2*a + a - a + 5*a + 2*a + 0 + 0 - 4*a. 5*a Expand 1 + 2*c**4 - 1 + 5*c**4 + c**4 - 4*c**4 + (0*c**3 + 3*c**3 - 2*c**3)*(6*c - 4*c - 3*c) + 4*c**4 + 2*c**4 - 4*c**4. 5*c**4 Expand -u + 6*u - 4*u + (0*u - u + 3*u)*(2 - 1 + 0) + u - 4*u + 4*u - 2 + 2*u + 2 + 0*u - 2*u + 0*u + 3*u - u + 1 - 4*u. 2*u + 1 Expand (-173*z + 2 + 380*z - 181*z)*(z**4 + 0*z**4 - 2*z**4) - z**4 + 2*z**5 + z**4. -24*z**5 - 2*z**4 Expand (-1 + 1 + k)*(-9 - k + 9)*(-2 + 3 - 3). 2*k**2 Expand (-10*c**2 + 53*c - 53*c)*(2*c - 3 + 3) - 4*c + 2*c**3 + 4*c + (2*c**2 + 2 - 2)*(-c - c + 0*c) - c**3 + 3*c**3 - c**3. -21*c**3 Expand b**3 + 5*b**3 - 23*b**3 + 4*b**3 - 4*b**3 + b**3 + (2*b - b - 3*b)*(b**2 + 2*b**2 - b**2). -20*b**3 Expand (0 - 4*l**2 + 0)*(-4*l - 5 + 10 - 4). 16*l**3 - 4*l**2 Expand (4*v**2 - 2*v**2 - 3*v**2)*(v**2 - 2*v - 7*v**2 + 2*v**2)*(0 + 1 + 1). 8*v**4 + 4*v**3 Expand (-3*y - y + y)*(3*y - 4*y - y) + y - y**2 - y. 5*y**2 Expand -4 + 4 - 2*k**3 + (-1 + 3 - 3)*(4*k**3 - 3*k**3 + 0*k**3) - 3 + 3 + k**3 + (k**3 - k**2 + k**2)*(-2 - 2 + 2). -4*k**3 Expand 3*y**4 - 6*y**4 + y**4 + (2*y**3 + y**3 - y**3)*(-y + 0*y + 0*y) - 6*y**4 - 19*y**4 + 0*y**4. -29*y**4 Expand (19*h - 18*h - 3 - 1)*(0*h + 0*h + h). h**2 - 4*h Expand (-n - 3*n + 5*n)*(2 - 3 - 1)*(-4*n + 10*n + 3*n). -18*n**2 Expand 5*g**2 - 2*g**2 - g**2 + (g**2 + 0 + 0)*(3 - 4 - 2). -g**2 Expand (-24*c + 22 - 22)*(-2*c - 2 + 2). 48*c**2 Expand (0 - 1 + 2)*(3 - 5 + 0)*(2 + 3*b - 1 + 6*b). -18*b - 2 Expand -2*c**5 + 2*c**3 - 2*c**3 + (-3*c**4 + 2*c**4 - c**4)*(c + c - 1 - 1). -6*c**5 + 4*c**4 Expand (-3*l**2 - 2*l**2 + 3*l**2)*(-7 - 8 + 17)*(-3 - 4 + 5). 8*l**2 Expand 4*q**4 + 3 - 3 + (0*q - 2*q**4 + 0*q)*(2 + 0 + 1). -2*q**4 Expand (-2*r + 5*r - 5*r)*(-2*r + 0*r + 3*r) + 119*r - 65*r - 23*r**2 - 54*r. -25*r**2 Expand (1 + 2*l - 2*l**2 - 1)*(2*l - 3*l + 0*l). 2*l**3 - 2*l**2 Expand (-2*i - 4*i + 5*i)*(2*i + 4*i - 4*i)*(4 + 0 - 1). -6*i**2 Expand (4 - 4 + 2*h)*(-2*h**4 + 2 - 2 + (3*h - h - 5*h)*(2*h**3 + 0*h**3 + 3*h**3)). -34*h**5 Expand (-2*h + 3*h + h)*(-10*h**2 - 5*h + 7*h**2 + 2*h**2). -2*h**3 - 10*h**2 Expand (-7*b**2 + 20*b**2 - 3*b**2)*(b + 2*b**3 - b). 20*b**5 Expand (-174*c - 2 + 173*c + 5*c**2 - 3*c**2)*(-c**2 + c**2 + c**2). 2*c**4 - c**3 - 2*c**2 Expand (-1 + 1 - s**2)*((2 - s - 2)*(-s - 3*s + 2*s) + 3*s - 3*s - s**2 - 4*s**2 - 1 + 1). 3*s**4 Expand (0 + 0 - 2*t)*(4*t**2 - 2*t**2 + 0*t**2)*(-2*t**2 - t**2 + 2*t**2). 4*t**5 Expand (r - 3*r + r)*(-1 + 5 - 2) + 7*r - 11*r - 4*r - 3*r + 4*r + r - 4*r + 4*r - 2*r + (2 - 1 + 1)*(0 - 2*r + 0). -14*r Expand (-5 + 5 + 2*m)*(-1 + 1 - 1)*(-m + m + 2*m). -4*m**2 Expand -m**4 - 3*m**4 - 1 + 7*m**4 + (5*m**2 - m**2 - 2*m**2)*(-3 - 2*m**2 + 3). -m**4 - 1 Expand (21 - 17 - 5*d + 2*d)*(-6 + 1 + 3)*(-4 - 1 + 3)*(4*d - 4*d - 2*d). 24*d**2 - 32*d Expand (r + 5 - 5)*(r + 2 - 2) + (-2 + 2*r + 2)*(2*r + 0*r + 0*r). 5*r**2 Expand 4*x**3 + 0*x**3 - 2*x**3 + (2*x - 5*x + 2*x)*(x**2 + 0*x + 0*x) - 3 + 3 - x**3 + 0*x**3 + 0*x**3 + 3*x**3. 3*x**3 Expand (5*l**2 - l**2 - 5*l**2)*(3*l - l - 3*l) + 5*l**2 + l**3 - 5*l**2 - l**3 - 3 - 2 + 3*l**3. 4*l**3 - 5 Expand ((-2 - 4 + 3)*(-4*s + 2*s + 3*s) - 2 + 2 - s)*(2*s + 6 + 5 + 0*s). -8*s**2 - 44*s Expand 0 + m**3 + 0 + 2*m**2 - 2*m**2 + m**3 - 2*m**3 - 2*m**2 + 2*m**2 + (-5*m**2 + 2*m**2 + m**2)*(-4*m + 3*m - m). 4*m**3 Expand (-4 + 6 + 0)*(s - 15*s - 4*s). -36*s Expand (2 + 2 - 8)*(3 + 1 - 3)*(-3*m**2 - 8 + 8). 12*m**2 Expand (-2*x**2 + 2 - 2)*(4*x**3 + 0*x**3 - 3*x**3) + x**3 + x**5 - x**3 + 4 + 0 + 0*x**5 + 4*x**5. 3*x**5 + 4 Expand (-2 + 3 + 1)*(1 + 2 - 1)*(g + 0 + 0). 4*g Expand (0*g + 87*g + 18*g)*(-2*g + 2*g + 2*g). 210*g**2 Expand (-k**2 - 2*k**2 + 4*k**2)*(-5 - 4*k - 3*k + 11*k). 4*k**3 - 5*k**2 Expand 3*s + 2*s**2 - 3*s + (6*s - 2*s + 0*s)*((3 + 1 - 2)*(-s - 3*s + 3*s) + 3*s + 0 + 0). 6*s**2 Expand (-1 + 0 + 0)*(-k - k - k**2 + 4*k + (-3 + k + 3)*(k + k - 5*k)). 4*k**2 - 2*k Expand (3*k**2 - 4*k**2 - 6*k**2)*(-1 + 1 - 1)*(0 + 0 - k**3). -7*k**5 Expand (7 - 7 - j)*(j + 1 + 0*j**2 - 2*j**2 - 3*j). 2*j**3 + 2*j**2 - j Expand (0 - 1 + 0)*(-2*v + 3*v - 2*v)*(-v**2 + 5*v**2 + 0*v**2). 4*v**3 Expand (0*s + 0*s - 2*s)*(0*s
{ "pile_set_name": "DM Mathematics" }
h) be the second derivative of -h**4/6 - 9*h**2 - 64*h. Let f(p) = p**2. What is b(f(i))? -2*i**4 - 18 Let k(b) = -1792*b + 2. Let z(x) = -4*x + 8. Calculate z(k(y)). 7168*y Let a(r) = -322*r. Let g(x) = x + 1. Let h(n) = -2*n - 1. Let u(q) = -2*g(q) - 2*h(q). Calculate a(u(o)). -644*o Let h(y) = -97*y**2 + 30*y**2 + 62*y**2. Let t(q) = 76*q. Determine t(h(p)). -380*p**2 Let i(g) = -2*g**2. Let c be 0/(-2 + 36/12). Let j(p) be the first derivative of 0*p + c*p**2 + 8 + 7/3*p**3. Determine j(i(d)). 28*d**4 Let g(z) be the second derivative of -z**3/3 + 23*z. Let d(q) = -228*q. What is d(g(v))? 456*v Let n(t) = -2155772*t. Let w(z) = 3*z**2. Calculate w(n(o)). 13942058747952*o**2 Let g(b) = 2*b**2. Let x(o) = -13*o**2 - 50*o**2 - 38*o**2. Calculate g(x(u)). 20402*u**4 Let a(h) = 4*h. Let i(r) = r**2 - 3166*r - 10. Determine a(i(y)). 4*y**2 - 12664*y - 40 Let u(f) = 7732*f**2 - 15463*f**2 + 7732*f**2. Let i(j) = 766*j**2. Calculate u(i(o)). 586756*o**4 Let t(b) = 11*b - b - 4*b. Let u(o) = -7*o. What is t(u(h))? -42*h Let j(x) = -4*x + 1. Let z(d) be the first derivative of -4*d**2 + 121. What is z(j(w))? 32*w - 8 Let i(a) = -66*a**2. Let k(c) = -568*c. Calculate i(k(r)). -21293184*r**2 Let j(i) = i + 20. Let t be j(-18). Let k(z) = 5*z**2 + 35 - z**t - 35. Let y(x) = 8*x. Calculate y(k(d)). 32*d**2 Let x(l) = 0*l + 0*l + 2*l. Let n = -65 + 111. Let v(b) = 33*b - n*b + 0 + 0. Calculate x(v(w)). -26*w Let t(m) be the second derivative of -m**5/60 + m**4/24 - 29*m**3/6 + m. Let p(c) be the second derivative of t(c). Let w(g) = g**2. Determine w(p(i)). 4*i**2 - 4*i + 1 Suppose -9*a + 109 = -8*a. Let o(z) = -a + 15*z + 109. Let q(y) = -2*y**2. What is q(o(n))? -450*n**2 Let k(g) = -2*g. Suppose 0 = 5*x - 7*n + 5*n - 14, -18 = -5*x + 4*n. Let b(y) = 279*y - 279*y + 0*y**2 + y**x. Determine k(b(c)). -2*c**2 Let y(x) = -4*x - 9. Let u be y(-5). Let b(m) = 1 + 8*m**2 - u*m**2 - 1. Let v(h) = 15*h**2. What is b(v(r))? -675*r**4 Let g(z) = 652582*z**2. Let m(c) = -c**2. Give g(m(s)). 652582*s**4 Let c(p) = -448808*p. Let o(l) = 9*l**2. What is o(c(y))? 1812857587776*y**2 Let j(c) = 39*c - 123*c + 46*c + 35*c. Let k(d) be the second derivative of d**4/4 + d. Calculate j(k(l)). -9*l**2 Let c(j) = 14607*j. Let g(u) = 17*u. Determine g(c(k)). 248319*k Let w(n) = n. Let l(p) be the first derivative of -2*p**3/3 + 305*p + 794. Calculate w(l(v)). -2*v**2 + 305 Let l(s) be the second derivative of -91*s**4/12 + s**2/2 - 6*s + 1. Let v(z) = -2*z. Determine l(v(c)). -364*c**2 + 1 Let h(z) be the third derivative of 19*z**5/12 + 32*z**2 - 2*z. Let d(k) = -4*k. What is h(d(m))? 1520*m**2 Let g(i) be the first derivative of -2*i**3/3 - 92. Let u(s) = s**2. Give u(g(z)). 4*z**4 Let f(g) = -323*g - 11. Let u(b) = 8*b - 3. What is u(f(x))? -2584*x - 91 Let y(l) = 16*l**2. Let d(n) = -5128*n. Calculate y(d(f)). 420742144*f**2 Let t(x) = 297468*x. Let c(j) = -2*j**2. Determine c(t(w)). -176974422048*w**2 Let v(b) be the third derivative of -b**6/180 + 22*b**3/3 - 11*b**2. Let n(o) be the first derivative of v(o). Let u(s) = 30*s. Give n(u(m)). -1800*m**2 Let g(z) = -5*z**2. Suppose 0 = 4*r - 121 - 183. Let x(c) = -36*c - 38*c + r*c. Calculate x(g(t)). -10*t**2 Let k(c) = -4*c**2 + 10*c**2 - 5*c**2. Let n(w) = 11*w + 8*w - 20*w. Give k(n(l)). l**2 Let v(d) = d**3 - 14*d**2 - 14*d + 15. Let q be v(15). Let w(o) = -2*o**2 + 30*o - q*o. Let l(r) = 2*r**2. Calculate l(w(h)). 8*h**4 Let t(j) = -4*j**2. Let z(m) = -1 + 44*m - 26*m - 24*m. Determine z(t(h)). 24*h**2 - 1 Let z(o) be the first derivative of 5*o**3/3 + 321. Let l(i) = 5*i. Let c(d) = 11*d. Let k(u) = 6*c(u) - 13*l(u). What is z(k(p))? 5*p**2 Let i(t) = 49*t - 2. Let v(p) = -556*p**2. Determine i(v(q)). -27244*q**2 - 2 Let n(p) = 4*p. Let q(d) = 258*d - 2. Determine q(n(o)). 1032*o - 2 Let d(b) be the third derivative of -b**4/24 - 131*b**2. Let j(x) = -12*x - 1. Give j(d(y)). 12*y - 1 Let p(u) = 2*u**2. Let a(y) = -51*y**3 + 3*y**2 + 2*y - 1. Let i be a(-2). Let j(w) = -415 + i - 14*w. Give j(p(s)). -28*s**2 Suppose -2*g = -g - 1. Let b be (-4)/1*g/(-2). Let i(f) = -21 + 21 + f**b. Let u(m) = 5*m**2. Give u(i(y)). 5*y**4 Let z(b) = 2*b**2 - 2*b - 2. Let i = 17 + -20. Let l(d) = -2*d**2 + 3*d + 3. Let h(w) = i*z(w) - 2*l(w). Let o(x) = -6*x**2. What is o(h(r))? -24*r**4 Let u(c) = -13*c**2 - 4*c + 4. Let r(y) = -39*y**2 - 13*y + 13. Let h(s) = -4*r(s) + 13*u(s). Let b(d) = -3 - 8*d**2 + 6*d**2 + 3. Give h(b(o)). -52*o**4 Let m(z) be the first derivative of -2*z**3/3 + 574. Let s(l) = -l. Let f(j) = 7*j. Let r(y) = -f(y) + 2*s(y). What is m(r(k))? -162*k**2 Let t(i) = -2*i**2. Let m(x) = 153024*x. What is m(t(g))? -306048*g**2 Let i(h) be the third derivative of 7*h**4/12 + 455*h**2. Let p(n) = n**2 - 79. Determine i(p(v)). 14*v**2 - 1106 Let i(u) = -12*u**2. Let a(t) = t**2 + 8*t - 1256. What is a(i(g))? 144*g**4 - 96*g**2 - 1256 Let x(c) = 32*c**2 + 40. Let m(i) = -11*i**2 - 12. Let w(g) = 10*m(g) + 3*x(g). Let u(b) = -38*b. Calculate u(w(z)). 532*z**2 Let b(g) = -6*g**2. Suppose -4*l - 8 = 2*o, -3*o - 4*l = -18 + 26. Let q(d) be the second derivative of -11*d + o*d**2 + 0 - 1/6*d**3. What is b(q(a))? -6*a**2 Let n(a) = 161*a. Let j(m) = -6*m + 172. Give n(j(d)). -966*d + 27692 Let j(f) = 50*f. Let r(n) be the second derivative of -n**3/3 - 44*n - 2. Calculate r(j(k)). -100*k Let s(w) = -2*w**2. Suppose 3*o - 30 = -5*m, -109*m - 35 = -114*m - 2*o. Let n(k) be the first derivative of 0*k + m + 1/2*k**2. Give s(n(q)). -2*q**2 Let p(v) = -7*v - 580. Let z(j) = 10*j**2 - 5*j. Give p(z(l)). -70*l**2 + 35*l - 580 Suppose 163 = -6*y + 877. Let t(b) = -31*b**2 + y*b**2 - 57*b**2. Let r(c) = -c. Give r(t(s)). -31*s**2 Let t be 3/1*1 + -9 + 6. Let i(l) be the third derivative of 4*l**2 - 1/60*l**5 + 0*l**4 + 0*l**3 + 0*l + t. Let m(c) = -2*c. Give i(m(d)). -4*d**2 Let l(n) = -n**2. Let z(g) = 20*g + 30. Suppose 0*t - t - 3*b - 39 = 0, -3*b = 9. Let q(x) = -1. Let i(a) = t*q(a) - z(a). Determine i(l(r)). 20*r**2 Let t(y) = 39*y**2 + y - 174. Let h(i) = 2*i. Give t(h(j)). 156*j**2 + 2*j - 174 Let b(h) = -270*h. Let m(r) = -44*r + 9. What is m(b(f))? 11880*f + 9 Let m(x) be the third derivative of 0*x**3 + x**2 + 0 - 1/24*x**4 + 0*x. Let v(b) be the second derivative of 5*b**4/12 + 134*b + 2. Give v(m(p)). 5*p**2 Let u(y) be the third derivative of -y**5/120 - 2*y**3/3 + 7*y**2. Let x(h) be the first derivative of u(h). Let g(i) = 6*i - 3*i**2 - 6*i. Calculate g(x(v)). -3*v**2 Let n(t) = 58*t**2 - 2. Let h(q) = -q. Calculate n(h(s)). 58*s**2 - 2 Let n(i) = 2*i - 3. Let o(a) = -6*a + 10. Let c = 47 - 44. Let j(u) = c*o(u) + 10*n(u). Let b(x) = -5 + 5 - 2*x. Calculate j(b(f)). -4*f Let q(d) = -121*d**2 + 1. Let u(i) = 5*i - 4. Determine q(u(p)). -3025*p**2 + 4840*p - 1935 Let k(l) be the first derivative of 70*l**2 - 2*l + 296. Let g(i) = 2*i. Give k(g(z)). 280*z - 2 Let u(k) = -29*k. Let n(m) be the first derivative of 2/3*m**3 + 0*m + 0*m**2 - 15. Calculate u(n(p)). -58*p**2 Let q(r) be the third derivative of -r**5/30 - r**2. Let s(o) be the third derivative of -13*o**4/12 + o**2 - 81*o. Determine s(q(v)). 52*v**2 Let a(t) = t - 6. Let u(r) = -4657*r. What is a(u(o))? -4657*o - 6 Let b(a) = 215*a. Let f(p) = -3371*p. Determine f(b(h)). -724765*h Let z(s) = 20*s**2. Let u(k) = -k + 2. Let d(q) = 3*q - 4. Let l(w) = -d(w) - 2*u(w). Give l(z(f)). -20*f**2 Let x(s) = -33*s. Suppose -4*g + 15 + 9 = 4*i, 0 = 2*i - g. Let b(l) = i*l**2 - 174 + 174. What is x(b(a))? -66*a**2 Let x(y) = -3*y**2 - y**2 - 10*y**2. Let u(i) = -6*i**2 - 84*i + 6. Let t(k) = 11*k**2 + 140*k - 10. Let f(v) = -3*t(v) - 5*u(v). What is f(x(c))? -588*c**4 Let a(x) be the second derivative of -x**4/4 + 13*x**2/2 + 140*x. Let z(p) be the third derivative of -p**4/24 + 2*p**2. Calculate z(a(s)). 3*s**2 - 13 Let r(y) = -y**2. Let h(g) be the third derivative of 145*g**4/24 + 55*g**3/6 + 13*g**2. Let o(v) = 8*v + 3. Let p(i) = -6*h(i) + 110*o(i). Calculate r(p(k)). -100*k**2 Let t be -2*(221/(-2) + -3). Let y(g) = g - t + 227. Let o(r) = -r + 1. Let l(a) = 9*a**2 + 18*a - 18. Let j(b) = -3*l(b) - 54*o(b). Calculate y(j(c)). -27*c**2 Let f(h) be the second derivative of -29*h**4/6 + 55*h - 3. Let u(a) = a**2 - a. Let s(r) = 8*r**2 - 10*r. Let i(c) = s(c) - 10*u(c).
{ "pile_set_name": "DM Mathematics" }
Let j be 7 - (4 + 60/(-8))*-2*15. Which is smaller: j or -112? -112 Let j = -345 - 8. Let a = j - -335. Which is smaller: a or -118/7? a Let r be 0 - -1 - (-847)/(-28). Let a = -1/1695 - -110177/3390. Let z = a + r. Is z equal to 2? False Let h(f) = f**3 - 3*f**2 + f - 5. Let i(o) = -6*o - 1. Let c be i(-1). Let k be h(c). Let n = k - 67. Is n > -18? True Let k be (-19 + 1)*74/(-148). Let m be (-2360)/(-60)*(k/(-6) + 0). Which is bigger: 0.01 or m? 0.01 Let w be (28/(-528))/((-3)/24). Let c = w + -301/165. Is -2 at least c? False Let q = -22 - -41. Let o = 7800.03 - 7800. Which is smaller: o or q? o Suppose 5*b - 3334 + 134 = 0. Suppose -4*s + 224 = -b. Is 214 < s? True Let a = 4924 - 4922. Which is smaller: a or 86/57? 86/57 Let c = -43.36 - -15.36. Which is greater: c or 1.07? 1.07 Let q = 18485 - 18472. Which is smaller: q or -239? -239 Let c(u) = -6798*u - 275. Let s be c(-1). Is s bigger than 6524? False Suppose -3*j = -4*y + 73, 5*y + 0*j + j = 77. Let q(b) = -8*b + 9. Let t(c) = 15*c - 18. Let p(m) = -11*q(m) - 6*t(m). Let f be p(-4). Is f > y? True Let h be 27/(-2) + (-20)/40. Let w be 7/(h/(-260)) + 3. Let a be 38/w - (-220)/14. Is a at least as big as 15? True Let k be (-18069)/30 + 18/60. Let v be (-4 - 210/(-49)) + 176/k. Which is smaller: v or 1? v Let f = -14942 - -432298/29. Is -34 <= f? False Suppose -2*x + 5*v + 7208 = -3*x, -5*x - 5*v - 36040 = 0. Which is greater: -7209 or x? x Let h be (-978)/16*((-4708)/(-132) - 35). Suppose 0 = -5*t - 25, f + 50 = -0*f - 2*t. Which is smaller: f or h? h Let i = 2.08 + -1.987. Let l = i + 6.907. Is l < 1? False Let l be (-1)/(2*(-7)/42). Suppose 3*u - 159 = 3*k, 0 = -l*u + 2*u. Which is greater: k or -160/3? k Suppose -75*g + 82*g = 0. Suppose 5*p - 292 - 203 = 0. Let w be 3/12 + p/(-492). Does w = g? False Let z be ((-35)/(-15) - 2)/((-4)/3852). Let j = 421 + z. Is 100 less than j? False Let r(l) = -37*l**3 + 2*l**2 + 7*l + 10. Let j be r(-2). Suppose 0 = -86*v + 71*v - j. Is -12 greater than v? True Suppose -9732 = -4*a + 2*b, -2*b = 4*a - 10595 + 879. Is 4863/2 not equal to a? True Let y = 2.1 - 0.3. Let h = 1.6 - y. Let a = 783 - 792. Is a less than h? True Suppose 5*g - 75 + 30 = 0. Let a be 2 - (-33)/(-121) - -7. Do a and g have the same value? False Let p = -0.099 + 85.099. Let c = 5.607 - 5.907. Is p greater than c? True Let z = 2723 + -10891/4. Let u be 1 - -18*(-2)/4. Which is greater: u or z? z Let b be ((-146)/(-219))/(6/400). Is 45 >= b? True Let r = 105.36352 + -0.03352. Let j = r - 105. Let i = -5.33 + j. Do 3 and i have the same value? False Let i = 0.86 + 96.14. Let c = -183 + i. Let g = c - -60. Is 0 > g? True Suppose 35*w - 101 + 1288 = -563. Are -8 and w non-equal? True Let k be (-27 - 0) + (-21)/((-273)/(-52)). Suppose 203 = 5*b + 3*v - 0*v, -4*b = 4*v - 164. Let s = k + b. Do 2/13 and s have different values? True Suppose -94279 = 56*d - 55*d. Let f = -469398/5 - d. Let g = -380 + f. Is g greater than 19? True Let o = 866 + -865.8. Let h = 2.8 + o. Is h > -0.124? True Let j = -5 + 3. Suppose -9*d = -3*n - 6*d - 1755, -4*n = -5*d + 2344. Let o = n - -572. Is o not equal to j? True Let k = -57 - -41. Let h(c) = -4*c**3 + 5*c**2 - 2*c + 2. Suppose -27 = -3*v - 21. Let f be h(v). Do f and k have different values? True Suppose -34*p - 108 = 22*p - 20*p. Which is smaller: 4.35 or p? p Let b be 36/31*8967/(-854). Which is greater: b or -1? -1 Let k = -1057 - -1878. Let g = 744 - k. Which is smaller: -80 or g? -80 Let i(w) = 84*w**2 - 9*w - 13. Let m be i(10). Suppose -m = 8*a + 2711. Let s be a/72 - 1/(-9). Is s at least as big as 1? False Suppose 4*z + 1118 = 6*z. Suppose 5*s - 41 = z. Suppose q = 11*q - s. Which is greater: q or 11? q Let f be (1 + 2 + -4)*(-4)/830. Let j = 2893/2490 + f. Let w = 3 - 1. Is w > j? True Let w(o) = -o**2. Let j be w(1). Let i = -121 + 117. Let h be (-2 + 12/10)*(-10)/i. Which is bigger: h or j? j Suppose -4*z + 5*i = -2285, -4*z - 3*i = -i - 2306. Suppose -8*g + 13*g - z = 0. Which is bigger: g or 114? g Let t = 13010 - 14950. Are -1939 and t nonequal? True Suppose -5*o + 2*g + 103935 = 0, 461*g + 20809 = o + 465*g. Which is smaller: 20790 or o? o Let j be 340 - 331 - 2282/((-4)/(-2)). Which is smaller: j or -1134? -1134 Let z be (29193/558)/(2 - 1). Let x = -17/93 - z. Let m = 50 + x. Is m > -4? True Let h be 83/(-1909)*(-20)/(-14) - (-4)/(-7). Which is smaller: 0 or h? h Let d(u) = -2*u**3 + 167*u**2 - 58*u - 2180. Let q be d(83). Is -113 > q? False Let a be ((-193)/(-9))/((-21996)/(-2106)). Is a >= 2? True Suppose 0 = h - 26 + 32. Let m be ((-2)/7)/(h/168). Let x be 2/m*180/75. Is -1.3 at least x? False Let w = 130 - 250. Let a = w - -217. Which is smaller: a or 0? 0 Let i be 30500/(-8) - (5 + 56/(-16)). Is -11443/3 at most as big as i? True Let a(x) be the first derivative of 3*x**2/2 - 30*x + 56. Let s be a(11). Suppose -5*z + 24 = -z. Are s and z equal? False Suppose -2*u = -7*u + 15, -3*v - 4*u + 66 = 0. Let t be v/26*5/15. Which is bigger: t or 8? 8 Suppose 0 = -59*i + 93*i - 1972. Is 49 > i? False Let c = 2694 - 1877. Let g = c + -573. Which is smaller: -1/2 or g? -1/2 Let w = 0.0591 + 0.0409. Are w and -3348 unequal? True Let u = -540 + 557. Suppose 55 = 5*t + 4*i + 6, t = i + u. Which is smaller: t or 24? t Let h = 716 - 715.946. Which is bigger: h or 1? 1 Let r(k) = -2*k + 8. Let x be r(4). Let s = 564.7 - 560.1. Are x and s equal? False Let l(q) = 29*q + 314. Let w be (-66)/(-3)*(-7 - 104/(-16)). Let j be l(w). Are j and -43/8 equal? False Suppose -2*k = -3*y - k - 17, 3*k - 31 = 4*y. Let m be ((2/y*0)/1)/2. Let c be 7/(-1)*10/(-130). Which is greater: m or c? c Suppose 50 = 2*q + 5*r, -4*r = -3*q + 5 + 93. Suppose -5*z = -q + 45. Are -25/16 and z equal? False Let k = -40 - -288. Suppose -16*i + 12*i = 4*m - 200, -k = -5*m - 4*i. Which is bigger: m or 0? m Let v(p) be the first derivative of 17*p**2/2 - 144*p - 177. Let r be v(13). Do 80 and r have different values? True Suppose 5947 - 2507 = -40*s. Which is smaller: -77 or s? s Let c = 3 - 3. Suppose 5*j - j = -3*m + 16, c = -5*j - m + 20. Let o be (-2440)/10575 - j/(-18). Which is smaller: 0 or o? o Let x(d) = -d**3 + 11*d**2 + 6*d - 34. Let m be x(10). Let h be 8/36 - (0 - (-172)/m). Let q(l) = 6*l + 22. Let b be q(-4). Which is bigger: h or b? h Let s = -6.9327 - -6.387. Which is smaller: -1 or s? -1 Let d be (98/36)/(-7)*((-11134)/855 - -13). Which is bigger: -1/7 or d? d Suppose 2 = 2*p + 2*n, 3*p = -n + 5 - 0. Suppose -g + 26 = p*g - 4*h, 0 = 3*g + 3*h - 12. Let m = -11 + g. Is m >= 1? False Let i(r) = -7*r + 26. Let w(x) = 8*x - 25. Let y(f) = -6*i(f) - 5*w(f). Let z be y(18). Suppose 2*h - 2*t - 6 = 0, -z = -4*t - t. Is h at most 0? False Let a = -4882 - -4886. Is 660/127 < a? False Suppose -5*z + z = 0. Let w be 3/73*((-98)/7 + 16). Which is smaller: w or z? z Let i be (169 - 174) + 1 + (0 + 2)/1. Let f = 0 - 10. Let z = f - -5. Is i greater than z? True Let p = 0.33 + 1.37. Let c = p + -1.6. Let d = 1/478 + -1921/4302. Which is smaller: c or d? d Let c be (22 - 23)*(-2 + 2). Let g be (-24)/(-16) - (c - 3/(-6)). Which is greater: 2 or g? 2 Let b be (867/(-204))/(6/(-8)). Let v be ((-28)/8)/(2/(-4)). Let p(l) = -l**2 + 8*l - 1. Let w be p(v). Is w > b? True Let y be (10 - 3) + -7 - 0. Suppose -6*k = -k - 2*j + 227, y = 2*k - 5*j + 74. Does k = -47? True Let b = 1697 - 6885/4. Let o = 902 - 927. Which is smaller: o or b? o Suppose 47*p + 82 = -24*p - 11*p. Is 1/16111 at most p? False Let v be (352 + -351)/(0 + (-2)/1030). Which is bigger: -513 or v? -513 Let n be -1 - 1/1 - (-11 - -1). Suppose h + 3 = 0, 0*s + n = s - 2*h. Suppose s*a - 4*p = -7*p - 6, 0 = -a + 3*p + 6. Which is bigger: 2/27 or a? 2/27 Suppose 2*w + 4*p - 94 = 0, -36*p + 12 = -40*p. Which is greater: 48 or w? w Let r = 0.6 - -19.4. Let w = 0.81 - -114.89. Let m = -116.7 + w. Which is smaller: m or r? m Let o = 9 + -4. Let d = 12309/5 + -208893/85. Is o >= d? True Let w = 302.7 - 291.71. Which is bigger: 8 or w? w Suppose 0 = -5*u + 3*v + 116, -9*v + 37 = u - 5*v. Suppose 31 = 5*d - 4*q, -3*d + q + u = -3*q. Are d and 40/11 nonequal? True Let q = 1.31 - 1.98. Let v = -0.533 + 0.063. Let j = q - v. Which is smaller: j or -20? -20 Suppose -434 = -8*u - 1666. Let c be 3/(-4)*-2 + 229/u. Is 1 greater than
{ "pile_set_name": "DM Mathematics" }
st to 32.53? (a) -0.2 (b) 0 (c) -1/2 b What is the closest to -1 in 9, -0.8, 5, -1? -1 Which is the nearest to 2? (a) -2/3 (b) -140/9 (c) -5/3 a What is the nearest to 3/8 in 1/3, 3, 0.3? 1/3 What is the nearest to -0.2 in -9, 4, -3? -3 Which is the closest to 0? (a) -5 (b) -1/8 (c) -0.05 (d) 2/7 c What is the closest to 0.1 in 3, 1, 0.041, -6? 0.041 What is the closest to 2 in -0.33, 0.3, -3, 2/21? 0.3 Which is the nearest to 2? (a) -1 (b) -1/15 (c) 4 (d) -170 c What is the nearest to 2 in 2/19, 2/9, 8? 2/9 Which is the nearest to -1? (a) -1/4 (b) 3 (c) 2 (d) 0.03 a What is the closest to -1 in 0.1, 2, -2/9, 3? -2/9 What is the nearest to -4 in -4, -2, -3/4? -4 Which is the nearest to 0? (a) -0.4 (b) -1.1 (c) -5 (d) -0.1 d What is the closest to -2 in 0, 1/40, 1/3? 0 Which is the closest to 0? (a) -3 (b) 15 (c) 2 c What is the nearest to -9 in -2/5, 2, -58/9? -58/9 What is the nearest to -3.4 in 6/5, 1/2, -5? -5 Which is the nearest to 0? (a) -0.3 (b) 4.5 (c) -3 a What is the nearest to -5 in 0, -2, -1.3? -2 What is the nearest to -1/11 in -2.9, 0.4, 1/4? 1/4 What is the closest to -11 in 4, 7, 1/4, -1/8? -1/8 Which is the closest to -0.1? (a) 1/2 (b) 2/7 (c) -7 (d) -3 b Which is the closest to -3/5? (a) -2 (b) 2/5 (c) 2 b Which is the nearest to 8? (a) -2/5 (b) -4 (c) -0.05 c Which is the closest to -0.09? (a) -0.08 (b) 4 (c) 3/5 a What is the closest to -1 in -0.4, -3/7, 4, -9/2? -3/7 What is the closest to -3 in -10, -0.4, 5, -2/7? -0.4 Which is the nearest to 0.1? (a) -0.5 (b) -2/11 (c) 0.6 (d) 1/4 d What is the closest to -95 in 3, -3, 1, 0.5? -3 What is the nearest to 1 in 2, -3.7, -1/5? 2 What is the closest to -2 in 342, -2, -0.1, -2/3? -2 What is the closest to 3.5 in 8, 5, -5? 5 What is the closest to 1 in 0.1, -0.01, -13, 2/5? 2/5 Which is the nearest to 0? (a) -9 (b) 1 (c) -2/21 (d) -0.1 c What is the nearest to -26 in -3, 4/3, -2/13? -3 Which is the nearest to -131? (a) -0.06 (b) 2/3 (c) -0.5 (d) -3 d What is the nearest to -1 in -33, -2, -0.1, 5? -0.1 What is the closest to 1/3 in -0.4, -2/9, -249/7? -2/9 Which is the closest to -0.1? (a) -5 (b) 6 (c) -1/6 c What is the nearest to -95 in 0.2, -1/3, -0.04, 0.5? -1/3 Which is the nearest to -42? (a) -3 (b) 12 (c) 3 a Which is the nearest to -29? (a) -3 (b) 28 (c) 3 (d) 2/11 a Which is the closest to -0.3? (a) -4 (b) 3 (c) -3 c What is the nearest to 0.1 in -5, 0.02, 0.5, -0.5? 0.02 What is the nearest to -2 in -0.51, 0.3, -1/4? -0.51 Which is the closest to 1.4? (a) -1/8 (b) 2 (c) -0.05 (d) 8 b What is the nearest to 0.1 in -7/22, 2, 0? 0 What is the nearest to -2 in 0.4, 5, -2/35? -2/35 What is the closest to 2 in -1/5, 103, -0.4? -1/5 What is the closest to 1 in 0.5, -3/151, 0.1? 0.5 What is the nearest to -0.021 in -4, -8, -1, 1? -1 Which is the closest to -1? (a) 5/3 (b) -2/9 (c) -3 (d) -1/10 b Which is the nearest to -111? (a) 0.5 (b) -3/2 (c) 13 b What is the closest to -2/9 in 1/19, 2/3, 1, -2/19? -2/19 What is the closest to -1/7 in 1, -1/3, -0.1? -0.1 What is the closest to 0.1 in 0.06, 5, -4? 0.06 Which is the nearest to 1/3? (a) -3/4 (b) 2 (c) -3 a What is the closest to 2 in 1/2, 0.4, 7, 5? 1/2 What is the closest to -1/3 in 1, 0, 30, 5? 0 Which is the nearest to 0.17? (a) 0.4 (b) 29 (c) -5 (d) 1/6 d Which is the nearest to -0.1? (a) -102.3 (b) 0 (c) 4/5 b Which is the nearest to 1? (a) -4/5 (b) 1/5 (c) -1/4 (d) 0 b Which is the closest to -0.1? (a) 4 (b) 16 (c) 4/7 (d) 14 c Which is the nearest to 6? (a) -0.2 (b) 1.7 (c) -1 (d) 0.2 b What is the closest to 0.1 in -3, 1/2, -2/9, 2? -2/9 What is the closest to -1 in -0.4, 637, 5? -0.4 What is the nearest to -4 in -2/23, -1, 3/5? -1 Which is the closest to -1/2? (a) -0.4 (b) 5 (c) 2/3 (d) -12 a What is the nearest to 0 in 4, -3, -2, -1/5? -1/5 Which is the nearest to -3? (a) 0.3 (b) -4866 (c) -3 c What is the nearest to 145 in 5, 0.2, -2/13, -0.2? 5 Which is the closest to -0.16? (a) -0.1 (b) -3/5 (c) 0.1 (d) -5 a What is the nearest to -0.1 in -1/3, -0.2, 0.1, -26? -0.2 Which is the nearest to 0.1? (a) -1/2 (b) -18 (c) 4 a What is the closest to 1 in 1/5, -5, -3/8, 2/17? 1/5 What is the closest to 71 in -1/2, 5, 2/7? 5 Which is the nearest to 0.1? (a) -3 (b) -2.3 (c) -2/7 (d) -0.9 c What is the nearest to -1 in 1/11, 0.5, -0.1, -5? -0.1 What is the nearest to 0 in 0.063, 0, -9, 1? 0 What is the nearest to 4 in -2, 2, -1/5? 2 Which is the closest to -1/2? (a) -2/19 (b) 3 (c) -346 (d) 0.4 a What is the closest to -0.2 in -2/3, -2, -0.02? -0.02 What is the closest to -6 in -6, 1, -2? -6 What is the closest to -1/2 in 3, -0.2, 17, -1? -0.2 What is the closest to 0.1 in -4, -3/5, -4/7, -2/5? -2/5 Which is the closest to 2? (a) -2 (b) -3 (c) 10 (d) 3/2 d Which is the closest to -1? (a) 1 (b) 2/165 (c) -0.6 c Which is the nearest to -3? (a) 9 (b) 2 (c) -1 (d) 1/2 c Which is the closest to -1/4? (a) -16/7 (b) 1 (c) -5.1 b What is the nearest to -1/4 in -1/2, 1, -9, -3? -1/2 Which is the closest to -0.3? (a) 5 (b) -4 (c) 2/61 (d) -2 c What is the closest to -0.1 in 5, -3, -8? -3 What is the closest to 1/5 in 1/7, 0.06, 2, 0.3? 1/7 What is the nearest to -1 in 28, 1/4, -1? -1 What is the nearest to 0 in -3/4, -0.2, -2/47, -3? -2/47 What is the closest to -0.2 in 1/3, 2/27, 1/8? 2/27 Which is the nearest to -0.05? (a) 4 (b) -2 (c) 0.1 c Which is the closest to 6? (a) 10 (b) -0.1 (c) 0.4 a Which is the closest to 2/7? (a) 0.1 (b) 2/13 (c) -1/4 (d) 4 b Which is the closest to -0.05? (a) 3/4 (b) 1/6 (c) 4 (d) 1 b What is the nearest to 0.2 in -14, -8, 0.4, 0.2? 0.2 Which is the nearest to 40? (a) 2 (b) -3 (c) -4 (d) 0.3 a Which is the nearest to 1? (a) -5 (b) 0 (c) 1 (d) 3/5 c Which is the closest to -1? (a) 1 (b) 167.2 (c) 3 a Which is the closest to -2/11? (a) 5 (b) -2/21 (c) 1/6 (d) 0.5 b What is the nearest to -5 in -0.3, -2/9, 4? -0.3 Which is the nearest to -2/3? (a) -2/15 (b) 3/4 (c) -0.2 c Which is the nearest to -2? (a) 0.2 (b) -3 (c) 2 (d) 1 b What is the closest to 2/7 in 2, 0.5, -5, 2/27? 2/27 Which is the nearest to 3/2? (a) 4 (b) -22 (c) 1 (d) 3/5 c Which is the closest to -12? (a) -1/7 (b) -1 (c) 0.2 b Which is the nearest to 8? (a) 0.1 (b) 6 (c) -1 (d) 1/2 b What is the closest to 28 in -1.6, 1, -4/9? 1 Which is the closest to 2? (a) -0.2 (b) -2 (c) -11/7 a What is the closest to -12 in 0.2, 0, -5? -5 What is the nearest to 0 in -3/2, -19, -3, -4? -3/2 What is the nearest to -1/8 in -2/7, -0.04, -2.2, 4? -0.04 What is the nearest to 0.09 in -2/9, 4, 1, -4? -2/9 Which is the nearest to 0? (a) 2/17 (b) 0.11 (c) -0.1 (d) -7 c What is the closest to 3 in -14, -5, 3/4? 3/4 What is the nearest to 22/5 in -14, 2, -1/5? 2 Which is the nearest to 1? (a) 1 (b) -0.04 (c) -4 a Which is the closest to 1967? (a) -1 (b) 0 (c) 5 c What is the nearest to -4 in 0.2, -1/7, -2/7, -3? -3 What is the nearest to 1 in 3/7, 3, -4/9, 1.16? 1.16 Which is the nearest to -2? (a) 0 (b) -3/8 (c) 2 (d) -1 d Which is the nearest to 1? (a) -0.2 (b) 2/9 (c) -1 (d) 5 b What is the closest to -11 in -5, 1/8, 8? -5 What is the nearest to 0 in 1/5, 1/3, -3? 1/5 What is the nearest to 1/7 in 2, -3, 1, -11? 1 Which is the closest to -2/3? (a) 2/3 (b) -8 (c) 4 (d) 7 a Which is the closest to -1? (a) 5 (b) -0.19 (c) 2/7 (d) -2/13 b What is the nearest to 0.1 in 2/9, 3/7, -14/9, -4? 2/9 Which is the closest to 0.6? (a) -4 (b) -2/7 (c) -10 (d) -0.2 d Which is the nearest to -2/7? (a) -10 (b) -5/199 (c) -1/5 c Which is the nearest to 14? (a) -5 (b) -0.3 (c) 0 c Which is the closest to -1? (a) -7 (b) -9 (c) 0.2 (d) -0.4 d Which is the closest to 1? (a) 0 (b) -94 (c) 4 (d) -0.9 a What is the nearest to -8 in 5, -0.3, 1? -0.3 Which is the closest to -0.1? (a) -2 (b) 347 (c) 1 c Which is the nearest to -1? (a) -3 (b) -166 (c) -4 (d) -4/3 d What is the nearest to -0.4 in 0.049, 4/3, 2/3, -1/3? -1/3 Which is the nearest to 1/5? (a) 0 (b) 2/3 (c) -4 a What is the closest to -1/4 in 8, -4/3, 2, 1? -4/3 Which is the closest to -1/2? (a) 0.0482 (b) 0.2 (c) -0.1 c What is the closest to 1/3 in 0.9, 0.06, 0? 0.06 Which is the cl
{ "pile_set_name": "DM Mathematics" }
b. -386*b What is the second derivative of 2503*l**4 - 2*l**3 - l - 5469 wrt l? 30036*l**2 - 12*l What is the second derivative of -1017*n**3 - 2*n - 148? -6102*n What is the second derivative of 2*b*j**3 + 2*b*j - 26*b + 85*j**3 - 12*j**2 - 3*j - 11 wrt j? 12*b*j + 510*j - 24 Find the third derivative of -1363*h**2*m**3*q**3 + 2*h**2*m**3 + h**2*m**2 + 236*h*m**2*q**3 - h*m - m**2*q**3 wrt m. -8178*h**2*q**3 + 12*h**2 Find the second derivative of 13731*p**2*v - p*v + 2987*p wrt p. 27462*v What is the third derivative of -29*g**6 - 10*g**5*w**3 - 7*g**2*w**3 - 19*g**2 - 2*w**3 wrt g? -3480*g**3 - 600*g**2*w**3 Find the second derivative of 284*a**2*m*w + 2*a**2*m + a*m - a + 4*m*w + 3*m wrt a. 568*m*w + 4*m What is the third derivative of 176*r**5 + 2*r**3 - 1045*r**2? 10560*r**2 + 12 Find the second derivative of -1350*y**4 - 219*y - 2 wrt y. -16200*y**2 Differentiate 18*r**4 - 1210 wrt r. 72*r**3 Differentiate 3*h**2*x**3 + h**2 + 242*h*x**3 + h + 2*x**2 + 607 wrt x. 9*h**2*x**2 + 726*h*x**2 + 4*x Find the second derivative of 319*v**4 + 15*v wrt v. 3828*v**2 Find the second derivative of 1703*k**4 - 2*k**2 - 2*k - 8. 20436*k**2 - 4 Find the second derivative of -9088*j**2 + 3*j - 2103 wrt j. -18176 Find the third derivative of -15*m**6 - 8*m**4 + 5*m**3 + 1705*m**2. -1800*m**3 - 192*m + 30 Find the second derivative of -2*l**3*n**3*o + 7*l**3*n + l**3*o - 1063*l**2*n**2*o - 2*l**2*n*o + o wrt n. -12*l**3*n*o - 2126*l**2*o What is the third derivative of 2*g**2*x**3 + 4*g**2 + 248*g*x**5 + 307*x**2 wrt x? 12*g**2 + 14880*g*x**2 Find the second derivative of 3*a**2*c*x**3 + 101*a**2*c*x - 2*a**2*k*x**3 - 2*a*c*k*x + a*c*x - 58*a*k*x + a*k + 4*a*x**3 wrt a. 6*c*x**3 + 202*c*x - 4*k*x**3 Differentiate -3*h*n*r + 16*h*r**2 - 7*n*r**2 - 3*n wrt h. -3*n*r + 16*r**2 Find the third derivative of -12*i**4*n - 13*i**3*n*q + 2*i**3 - i**2*n*q + 2*i**2*n - 11*i**2 - n*q + 8*n wrt i. -288*i*n - 78*n*q + 12 What is the third derivative of -a**3*l**3 + a**3 - 25*a**2*l**2 + 2*a**2*l - 57*a*l**6 wrt l? -6*a**3 - 6840*a*l**3 Find the second derivative of 1344*m**3*w + 2*m**3 - m*w + 10*m - 17*w wrt m. 8064*m*w + 12*m What is the third derivative of -395*d**3 - 2*d**2 - 41*d wrt d? -2370 Differentiate 8*b*g + 4*b*n + 2*b*o - 170*g*n - 3*g*o + 2*n*o + 2*o + 2 wrt n. 4*b - 170*g + 2*o What is the first derivative of 2*b**3*i*t + 32*b**3*t + 31*b*i*t wrt i? 2*b**3*t + 31*b*t What is the third derivative of -a**3*p*v**3 + 250*a**3*v**3 + a**3*v + 2*a**2*p*v**3 + 138*a**2*p*v**2 - a*p*v + 11*v**3 wrt a? -6*p*v**3 + 1500*v**3 + 6*v Find the first derivative of -m**3*q - 2*m**3 - 2*m**2*q**2 + 2*m**2 - 50*m*q**2 + 1095*m wrt q. -m**3 - 4*m**2*q - 100*m*q What is the first derivative of 465*d**3*h**2*r - 5*d**2*h**2*r + 11*h**2*r - 59*h**2 + r wrt d? 1395*d**2*h**2*r - 10*d*h**2*r Find the second derivative of 1720*f**4*i - f**3*i - 10432*f*i - 2*f wrt f. 20640*f**2*i - 6*f*i Differentiate -735*d**2*f**3*n - 3*d**2*f**3 + 3*d**2*f**2*n - d**2*f**2 - 95*d*f**3 - f**3 with respect to n. -735*d**2*f**3 + 3*d**2*f**2 What is the second derivative of 5*h*k*z + h*k - 2*h*z**3 + 28*h*z**2 - 21*h*z + 2*k*z**2 wrt z? -12*h*z + 56*h + 4*k What is the second derivative of h**3*l**2*s**2 - 2*h**3*l**2*s + 43*h**2*s - 2*h*l**2*s + 3*h - 19*l**2*s**2 - 3*l*s**2 wrt s? 2*h**3*l**2 - 38*l**2 - 6*l What is the second derivative of 25*h*p**2 + 14*h*p + 9*p**2 - p wrt p? 50*h + 18 Find the third derivative of 260*u**3 + 183*u**2. 1560 What is the third derivative of 2*f**3*h**3*m*s - 9*f**3*h**3 - f**3*s**2 - f**2*h**3*m*s**2 + f*h*s**2 + 9*h**3*m*s**2 wrt f? 12*h**3*m*s - 54*h**3 - 6*s**2 Find the second derivative of 3060*q**2 + 58*q + 7. 6120 What is the second derivative of -g*i**2*o*v + 2*g*i**2*o - 19*g*i**2 - g*v + 72*i*v + 3*o wrt i? -2*g*o*v + 4*g*o - 38*g Find the first derivative of -6*j**3*t - 2*j**3 - 2*j*n*t**2 + 5*j + 4*n*t**3 - 6*n wrt t. -6*j**3 - 4*j*n*t + 12*n*t**2 What is the third derivative of -2*h**3*w - 2162*h**3 - 7859*h**2 + w wrt h? -12*w - 12972 Find the third derivative of -1885*r**4 - 905*r**2 + r. -45240*r What is the derivative of 57*o - 126? 57 Find the first derivative of -473*d**3 + 2*d**2*l + l + 155 wrt d. -1419*d**2 + 4*d*l What is the derivative of 4*f**3*r + 31*f**3 - 2*f - 47*r**2 wrt r? 4*f**3 - 94*r Find the third derivative of -8*f**4 - 141*f**3 - 137*f**2. -192*f - 846 Find the first derivative of 3503*n**3 + n**2 + 18306 wrt n. 10509*n**2 + 2*n Find the second derivative of -18*s**4 - 3*s**3 + 4*s - 46. -216*s**2 - 18*s What is the third derivative of 58*n**6 - 3*n**2 + 45 wrt n? 6960*n**3 Differentiate -14*o**4 + 26*o**3 + 924 with respect to o. -56*o**3 + 78*o**2 What is the third derivative of -23362*x**6 + 1075*x**2 + 12? -2803440*x**3 What is the second derivative of 6936*k**2 + 4175*k wrt k? 13872 What is the third derivative of 10*f*o*x**3 - 9*f*x**3 - 76*f + 6*o*x**3 - 7*o*x**2 + 4*o wrt x? 60*f*o - 54*f + 36*o What is the first derivative of -50*h**3*n**2 - 449*h**3 + 2*h**2*n wrt n? -100*h**3*n + 2*h**2 What is the third derivative of -33*g**5 - 2*g**3 - 312*g**2 wrt g? -1980*g**2 - 12 Find the second derivative of -226*n**3 - 36*n. -1356*n Find the second derivative of -h**3*q*v + 4*h**3*q - 2*h**2*q*v - 2*h*q*v + 26*h*v - 2*q*v - 2 wrt h. -6*h*q*v + 24*h*q - 4*q*v What is the first derivative of 59*r**2*x**2 + 3863*r**2 - 53*r*x**2 - 2*r - 2 wrt x? 118*r**2*x - 106*r*x Find the first derivative of -202*i**4 - 185 wrt i. -808*i**3 Find the first derivative of 34*b*d**2*p + 3*b*d - 2*b*l*p - 897*b*l - 4*b + 3*d**2*l*p wrt d. 68*b*d*p + 3*b + 6*d*l*p What is the second derivative of -121*l**4 - l**3 - 104*l wrt l? -1452*l**2 - 6*l What is the third derivative of -44*r**6 - 2*r**4 + 206*r**2? -5280*r**3 - 48*r What is the second derivative of -a*f**2 + 2*a + 12*f**4 + f**3 + 85*f wrt f? -2*a + 144*f**2 + 6*f What is the derivative of 4760*b**3 + 3116? 14280*b**2 Find the second derivative of 1790*z**4 + z**3 - 2*z - 1191 wrt z. 21480*z**2 + 6*z Find the second derivative of -2198*b**3 + 12*b + 73. -13188*b What is the second derivative of -2*f**2*n**3 + 69*f**2*n**2*v**2 + 64*f*n**3*v**2 + 3*n**2*v**2 wrt f? -4*n**3 + 138*n**2*v**2 Find the second derivative of 135*r**2 + 18*r - 7. 270 What is the derivative of -980*y - 1107 wrt y? -980 Find the third derivative of -24*f**3*v**3 + 2*f**2*v - 2*f*v**3 - 26*f*v wrt f. -144*v**3 Find the third derivative of -2*t**2*x**4 + 173*t**2 + 25*x**5 + 2*x**2 wrt x. -48*t**2*x + 1500*x**2 What is the derivative of 2*i*x**3 - 3*i*x - 630*i + 6*x**3 wrt x? 6*i*x**2 - 3*i + 18*x**2 What is the third derivative of -2240*c*t**3 + 1908*c*t**2 - c - t**4 wrt t? -13440*c - 24*t What is the second derivative of -483*u**5 + 12990*u wrt u? -9660*u**3 Find the first derivative of -814*q + 235 wrt q. -814 What is the third derivative of 468*m**6 + m**3 - m**2 - 1471*m wrt m? 56160*m**3 + 6 Find the second derivative of 1781*x**5 + x**2 - 1317*x - 2. 35620*x**3 + 2 Differentiate 3*d**4 - 99*d + 247 with respect to d. 12*d**3 - 99 What is the first derivative of 1174*f**2*s**3 - 1317*f**2 wrt s? 3522*f**2*s**2 What is the third derivative of c**2*k**3*o**2 + 11*c**2*k**3 - 329*c**2*k**2*r - 2*c**2*o**2*r + 2*c*k*o**2 + k**3*o*r wrt k? 6*c**2*o**2 + 66*c**2 + 6*o*r Find the second derivative of -6065*w**4 - 379*w + 1 wrt w. -72780*w**2 Find the third derivative of 35*r**5 - 15*r**4 - 1230*r**2. 2100*r**2 - 360*r What is the third derivative of -2*s*t**4 + 3*s*t**3 - 3*s*t**2 - 6*s*t - 8*t**4 + 5 wrt t? -48*s*t + 18*s - 192*t Differentiate -100*g - 261 with respect to g. -100 Find the first derivative of -42*m**2*t*z - 5*m**2*z - 136*m*t*z**2 - 64*m*z**2 wrt t. -42*m**2*z - 136*m*z**2 What is the derivative of -512*j*r*v**2 + 2*j*v**2 + r*v**2 + 1938*v**2 wrt j? -512*r*v**2 + 2*v**2 Find the third derivative of -13*n**6 + n**4 - 106*n**3 + 314*n**2 + n - 2 wrt n. -1560*n**3 + 24*n - 636 Find the second derivative of -1619*c**2*q**2 - 833*c*q**2 wrt c. -3238*q**2 What is the third derivative of 120*h**3*p**2 - h**3 - 2*h**2*p**2 - 2*h*p**2 + 6*h wrt h? 720*p**2 - 6 Find the third derivative of -12*g**6*n**2 - 39*g**3*n**3 - 4*g**2 - g*n**3 - 4*n wrt g. -1440*g**3*n**2 - 234*n**3 What is the derivative of -7
{ "pile_set_name": "DM Mathematics" }
218 divided by -69 -3322 What is -10115 divided by 16? -10115/16 What is 22792 divided by 7? 3256 715000 divided by -25 -28600 What is -4 divided by -3854? 2/1927 Calculate 87 divided by -1269. -29/423 What is -40 divided by 4257? -40/4257 Calculate 6267 divided by -2. -6267/2 Divide -1856274 by -1158. 1603 Divide 175365 by 81. 2165 Divide -236418 by -5. 236418/5 Divide 438600 by 340. 1290 Divide 5000 by 91. 5000/91 1209654 divided by 57 21222 What is -504465 divided by -2587? 195 Calculate 505572 divided by -6. -84262 7 divided by -24672 -7/24672 What is -11330 divided by 110? -103 Calculate 50136 divided by 4. 12534 Calculate -1 divided by 11823. -1/11823 65920 divided by -1648 -40 Divide 4203 by -3. -1401 What is 3460860 divided by -3? -1153620 Divide -2260 by -82. 1130/41 115204 divided by 694 166 Divide -8146280 by -4. 2036570 Calculate 575283 divided by -3. -191761 -107762 divided by -107762 1 What is -132 divided by -89? 132/89 What is 152442 divided by 6? 25407 Calculate 2205 divided by 3. 735 Calculate 11 divided by 2354. 1/214 Divide 1985 by -397. -5 387496 divided by -96874 -4 -2 divided by 2486 -1/1243 What is 12980 divided by 45? 2596/9 What is -2 divided by 21522? -1/10761 -33 divided by -12838 33/12838 Divide 884580 by 176916. 5 121093 divided by -7 -17299 Calculate 7062 divided by -84. -1177/14 -1273052 divided by 22 -57866 4549 divided by 128 4549/128 Divide 487370 by 598. 815 -152778 divided by 76389 -2 Calculate 376720 divided by -3. -376720/3 What is 443118 divided by 437? 1014 What is -2576 divided by -7? 368 166336 divided by -16 -10396 Calculate -13 divided by -2572. 13/2572 Divide -332 by 4192. -83/1048 What is -47 divided by 195? -47/195 -1508878 divided by 215554 -7 Calculate 19 divided by 636. 19/636 Calculate -42204 divided by -14068. 3 Calculate -2 divided by 349810. -1/174905 Divide -948882 by -66. 14377 Calculate 53355 divided by 10671. 5 What is -6366 divided by 3? -2122 Divide -3659 by -16. 3659/16 Divide -16393 by -13. 1261 What is -180289 divided by 3? -180289/3 Divide 8 by 7632. 1/954 64 divided by -65 -64/65 332 divided by 20 83/5 -18888 divided by -66 3148/11 Divide -1760 by -209. 160/19 Divide -6 by 471. -2/157 -988920 divided by 369 -2680 -40880 divided by -73 560 Divide -457416 by 4. -114354 Calculate -1630 divided by -90. 163/9 Calculate -26988 divided by 6. -4498 What is 25420 divided by -6355? -4 Calculate -274905 divided by 274905. -1 Calculate -12045 divided by 5. -2409 What is 5 divided by -20440? -1/4088 Divide -2090013 by -6. 696671/2 Calculate 316274 divided by 41. 7714 Divide 142752 by 8922. 16 Divide 6960 by 290. 24 Calculate 2050867 divided by 403. 5089 Divide 26581 by 35. 26581/35 -165056 divided by 64 -2579 What is -32 divided by -328? 4/41 What is 42758 divided by 121? 42758/121 -1209 divided by 11 -1209/11 What is -172764 divided by -14397? 12 Calculate -104799 divided by -8. 104799/8 Divide 912729 by -3. -304243 Calculate 287866 divided by 31. 9286 Divide -30538 by 15269. -2 Divide 6 by -20178. -1/3363 Divide 41 by 519. 41/519 What is 1447 divided by -25? -1447/25 What is 676 divided by -84? -169/21 4 divided by -30443 -4/30443 Calculate 1013621 divided by -7. -144803 144884 divided by -4 -36221 -5 divided by 226539 -5/226539 Divide -1 by -103929. 1/103929 116909 divided by -2 -116909/2 161161 divided by -1001 -161 Calculate 5699 divided by -9. -5699/9 -81411 divided by 3 -27137 Divide -2448593 by 7. -349799 Calculate -23937 divided by 3. -7979 570906 divided by 9062 63 Divide 685784 by -8. -85723 What is -358455 divided by 15585? -23 6 divided by 9429 2/3143 629596 divided by -28618 -22 Calculate 528 divided by -19. -528/19 -3 divided by 29237 -3/29237 3171516 divided by 6 528586 Divide -82584 by 186. -444 What is 4 divided by 182426? 2/91213 Divide 1193472 by -4144. -288 -1620 divided by -217 1620/217 Divide -640550 by 557. -1150 Calculate 34278 divided by 2. 17139 What is 22356 divided by 9? 2484 Divide -4379019 by 159. -27541 Divide -54642 by 10. -27321/5 Divide -4 by -20404. 1/5101 Divide -968 by -123. 968/123 Divide -40652 by 32. -10163/8 -2779165 divided by -5 555833 Divide 35730 by -3970. -9 Divide -140844 by 33. -4268 -11 divided by -810 11/810 Divide 1945 by -156. -1945/156 Divide 23114 by 13. 1778 What is -1610656 divided by -4? 402664 Divide 597720 by -74715. -8 Calculate 172328 divided by -13. -13256 Calculate 43869 divided by 7. 6267 -3363 divided by 59 -57 What is -4745 divided by 107? -4745/107 What is 49 divided by -245? -1/5 Calculate -36400 divided by -4550. 8 Calculate 1118 divided by 559. 2 97122 divided by 32374 3 Calculate -6 divided by 296. -3/148 341172 divided by 27 12636 Divide 37653 by 489. 77 Calculate -9490 divided by 67. -9490/67 Calculate -1970449 divided by 13. -151573 1049 divided by 18 1049/18 150 divided by -22 -75/11 What is 159 divided by -1511? -159/1511 Divide 271474 by 6. 135737/3 8355 divided by -1671 -5 Divide 56 by 2043. 56/2043 What is -222943 divided by -2? 222943/2 12408 divided by -132 -94 Divide -4 by -97776. 1/24444 What is -1090996 divided by 1090996? -1 550 divided by 2 275 Divide 4 by -8725. -4/8725 Divide -184800 by -6600. 28 12 divided by 113785 12/113785 65 divided by 1882 65/1882 0 divided by 49524 0 Divide -250425 by -21. 11925 26 divided by -602 -13/301 What is 9 divided by 74481? 3/24827 Calculate 28016 divided by 34. 824 Calculate 29 divided by 6181. 29/6181 Calculate 1 divided by 84299. 1/84299 Calculate 2622 divided by -15. -874/5 What is 2380 divided by -501? -2380/501 Calculate -290 divided by -11. 290/11 What is -64885 divided by 5? -12977 What is 6473 divided by -505? -6473/505 Divide -15560 by -778. 20 Divide 13475 by 539. 25 -72348 divided by 12058 -6 Divide -162748 by 29. -5612 Calculate -2 divided by 91776. -1/45888 What is 29777 divided by -6? -29777/6 Calculate -10225 divided by -25. 409 -11806 divided by 29 -11806/29 Divide 445 by 4225. 89/845 Divide -19637 by -6. 19637/6 Divide 1213017 by -3. -404339 Divide 30115 by -23. -30115/23 What is 819312 divided by 31512? 26 -14930 divided by -10 1493 Divide 108087 by 45. 36029/15 What is -37347 divided by -1? 37347 What is 3 divided by -549627? -1/183209 Divide 12 by -157402. -6/78701 What is -1774596 divided by 591532? -3 What is -78800 divided by -788? 100 Divide 7366 by -7. -7366/7 Calculate -26381 divided by 25. -26381/25 Calculate 618231 divided by -7. -618231/7 What is 164 divided by 389? 164/389 325952 divided by 162976 2 Divide 53976 by -692. -78 Calculate -475 divided by 9718. -475/9718 0 divided by 75043 0 Calculate 134448 divided by -5602. -24 Calculate 38 divided by -1335. -38/1335 Divide -292 by 3596. -73/899 What is -2594 divided by -13? 2594/13 Divide 75960 by -15192. -5 Divide 19098 by -9549. -2 What is 4 divided by -18772? -1/4693 Calculate 1927 divided by 4. 1927/4 Calculate 5928 divided by -5. -5928/5 Calculate -3454 divided by 2. -1727 8367 divided by -5 -8367/5 What is 155155 divided by -5005? -31 1768675 divided by 5 353735 247306 divided by 6 123653/3 What is 97685 divided by 7? 13955 -382968 divided by -127656 3 Calculate 7274277 divided by -6309. -1153 Divide -35556 by 4. -8889 What is -5 divided by 76768? -5/76768 What is -13972 divided by 43? -13972/43 Divide -16440 by -4. 4110 What is 4950 divided by -990? -5 -42 divided by 13680 -7/2280 Divide 27550 by -50. -551 Divide -24197 by 33. -24197/33 Calculate 14 divided by -18414. -7/9207 Calculate -65705 divided by -1. 65705 454420 divided by 5 90884 2155 divided by 688 2155/688 -1971035 divided by 5 -394207 What is -50496 divided by -64? 789 What is -101 divided by -26504? 101/26504 Calculate -314019 divided by -104673. 3 What is 69 divided by 7762? 69/7762 What is 73467 divided by -8163? -9 Calculate 2685 divided by -16. -2685/16 Divide 37 by 1516. 37/1516 2274096 divided by -758032 -3 Calculate 2208969 divided by -49. -45081 24210 divided by -8070 -3 Calculate 383250 divided by -18250. -21 Calculate 277232 divided by -69308. -4 What is 18704 divided by -28? -668 What is 421653 divided by -3? -140551 What is 456984 divided by 20772? 22 Calculate 0 divided by -142431. 0 Calculate 1104 divided by 36. 92/3 297016 divided by -4 -74254 What is -1108 divided by 25? -1108/25 Divide 2874 by 108. 479
{ "pile_set_name": "DM Mathematics" }
on factor of 7290 and 9. 9 Calculate the highest common factor of 514 and 8. 2 What is the greatest common factor of 9217 and 65? 13 What is the greatest common divisor of 98 and 112? 14 Calculate the highest common divisor of 12 and 21. 3 What is the highest common factor of 11 and 5313? 11 Calculate the greatest common divisor of 583 and 13939. 53 What is the highest common factor of 135 and 15? 15 What is the highest common factor of 14 and 1953? 7 What is the highest common divisor of 432 and 112? 16 What is the highest common factor of 18234 and 36? 18 What is the greatest common factor of 2397 and 51? 51 Calculate the greatest common factor of 4488 and 102. 102 What is the greatest common divisor of 5751 and 71? 71 Calculate the greatest common divisor of 341 and 1240. 31 What is the highest common factor of 120 and 920? 40 Calculate the greatest common divisor of 840 and 50. 10 Calculate the greatest common divisor of 20 and 10. 10 Calculate the highest common divisor of 80 and 4720. 80 What is the greatest common divisor of 65 and 21515? 65 What is the highest common divisor of 10481 and 223? 223 What is the greatest common factor of 81 and 567? 81 What is the highest common factor of 316 and 4? 4 Calculate the highest common factor of 2678 and 338. 26 What is the highest common divisor of 8208 and 76? 76 Calculate the greatest common divisor of 273 and 126. 21 Calculate the greatest common divisor of 72 and 16. 8 What is the highest common factor of 42 and 4347? 21 Calculate the highest common divisor of 874 and 138. 46 Calculate the greatest common divisor of 17912 and 24. 8 What is the highest common divisor of 2448 and 391? 17 Calculate the greatest common factor of 1352 and 104. 104 Calculate the highest common factor of 567 and 243. 81 Calculate the greatest common divisor of 117 and 5811. 39 Calculate the greatest common divisor of 5 and 1. 1 What is the greatest common divisor of 1917 and 3408? 213 Calculate the greatest common factor of 82 and 3854. 82 What is the highest common factor of 12 and 3796? 4 Calculate the greatest common divisor of 40 and 224. 8 What is the greatest common factor of 3828 and 12? 12 What is the highest common divisor of 1256 and 471? 157 Calculate the greatest common divisor of 7 and 14. 7 What is the highest common factor of 6254 and 236? 118 Calculate the highest common divisor of 404 and 606. 202 Calculate the greatest common divisor of 53289 and 279. 279 Calculate the highest common divisor of 5508 and 864. 108 Calculate the greatest common divisor of 50 and 950. 50 Calculate the greatest common divisor of 170 and 85. 85 Calculate the greatest common divisor of 35 and 15. 5 Calculate the greatest common divisor of 4672 and 73. 73 What is the highest common divisor of 2981 and 22? 11 Calculate the highest common divisor of 10 and 270. 10 Calculate the highest common divisor of 456 and 72. 24 Calculate the highest common divisor of 723 and 11086. 241 What is the greatest common divisor of 50 and 245? 5 Calculate the greatest common divisor of 76 and 608. 76 What is the highest common divisor of 341 and 11? 11 What is the highest common factor of 272 and 153? 17 What is the greatest common factor of 3933 and 342? 171 What is the greatest common divisor of 15522 and 78? 78 Calculate the greatest common factor of 75 and 540. 15 What is the highest common divisor of 30 and 255? 15 Calculate the highest common factor of 64 and 2080. 32 Calculate the greatest common factor of 42 and 532. 14 Calculate the highest common factor of 12 and 948. 12 What is the highest common factor of 1615 and 437? 19 What is the highest common divisor of 297 and 5511? 33 What is the highest common divisor of 17 and 1054? 17 What is the greatest common factor of 376 and 8? 8 Calculate the highest common factor of 242 and 110. 22 Calculate the greatest common factor of 40 and 1910. 10 What is the highest common factor of 345 and 5? 5 Calculate the highest common divisor of 11 and 2959. 11 What is the highest common divisor of 166 and 31? 1 Calculate the highest common factor of 312 and 234. 78 What is the greatest common factor of 27 and 3? 3 What is the highest common factor of 15484 and 711? 79 Calculate the highest common divisor of 1480 and 4255. 185 What is the highest common factor of 4215 and 45? 15 What is the greatest common factor of 11 and 308? 11 What is the highest common factor of 285 and 35625? 285 Calculate the highest common factor of 988 and 52. 52 Calculate the greatest common divisor of 6804 and 70. 14 What is the greatest common divisor of 322 and 112? 14 Calculate the highest common divisor of 212 and 28037. 53 Calculate the highest common divisor of 24 and 93. 3 What is the greatest common factor of 48 and 7512? 24 Calculate the greatest common divisor of 18 and 2718. 18 What is the greatest common divisor of 270 and 42795? 135 What is the highest common divisor of 105 and 49? 7 What is the highest common divisor of 145 and 348? 29 Calculate the greatest common factor of 1 and 19. 1 What is the greatest common divisor of 87 and 145? 29 What is the highest common divisor of 2 and 34? 2 Calculate the highest common divisor of 75 and 120. 15 What is the greatest common divisor of 1219 and 46? 23 What is the highest common factor of 135 and 75? 15 What is the greatest common factor of 116 and 116? 116 Calculate the greatest common factor of 194 and 2813. 97 What is the greatest common divisor of 1573 and 847? 121 What is the greatest common divisor of 35 and 20? 5 Calculate the highest common factor of 9 and 288. 9 Calculate the greatest common divisor of 28 and 21. 7 Calculate the greatest common divisor of 4 and 9242. 2 What is the highest common divisor of 99 and 432? 9 Calculate the greatest common factor of 258 and 6751. 43 What is the highest common divisor of 1348 and 3707? 337 What is the highest common factor of 12 and 516? 12 What is the highest common factor of 1224 and 272? 136 What is the highest common divisor of 112 and 88? 8 What is the highest common factor of 238 and 204? 34 Calculate the highest common divisor of 3515 and 740. 185 Calculate the highest common divisor of 120 and 2280. 120 What is the greatest common divisor of 80 and 6690? 10 Calculate the greatest common divisor of 166 and 2. 2 What is the highest common divisor of 168 and 63? 21 What is the highest common factor of 891 and 2835? 81 Calculate the greatest common factor of 2664 and 18. 18 What is the highest common divisor of 12096 and 960? 192 What is the highest common factor of 242 and 4961? 121 Calculate the highest common divisor of 537 and 3. 3 Calculate the highest common divisor of 29 and 3103. 29 What is the greatest common divisor of 141 and 47? 47 Calculate the highest common divisor of 36 and 1926. 18 What is the greatest common factor of 12 and 2262? 6 What is the greatest common factor of 16 and 906? 2 What is the highest common factor of 120 and 5592? 24 Calculate the highest common factor of 3337 and 47. 47 What is the greatest common divisor of 27229 and 146? 73 What is the greatest common factor of 185 and 60? 5 Calculate the greatest common divisor of 9078 and 102. 102 What is the greatest common divisor of 49700 and 142? 142 Calculate the highest common factor of 360 and 80. 40 Calculate the highest common factor of 240 and 48. 48 What is the greatest common factor of 7 and 2? 1 Calculate the greatest common divisor of 34 and 1666. 34 Calculate the greatest common divisor of 250 and 30. 10 Calculate the greatest common factor of 1984 and 256. 64 What is the greatest common divisor of 13 and 4979? 13 Calculate the greatest common divisor of 160 and 4880. 80 What is the highest common divisor of 88 and 198? 22 What is the highest common divisor of 282 and 940? 94 Calculate the greatest common divisor of 66 and 12507. 33 What is the greatest common divisor of 155 and 5? 5 What is the greatest common divisor of 5609 and 142? 71 Calculate the highest common divisor of 480 and 3072. 96 What is the highest common divisor of 144 and 20? 4 Calculate the highest common divisor of 27 and 3375. 27 Calculate the highest common divisor of 778 and 2. 2 What is the highest common factor of 87 and 87? 87 Calculate
{ "pile_set_name": "DM Mathematics" }
- 4414 - 21*n**2 + 31*n wrt n? -42 Let q(g) = g**3 - 16*g**2 - 13*g + 1. Let h be q(17). Suppose 0 = x - 428 + h. What is the second derivative of -351*j**4 + 3*j - j**3 + j**3 + x*j**4 wrt j? 96*j**2 Let w(z) be the second derivative of 5/3*z**3 + 0 + 0*z**2 + 2/5*z**5 - 3*z + 0*z**4. What is the second derivative of w(x) wrt x? 48*x Let y(r) = 2*r**2 - r - 1. Let i(j) = j**3 + 87*j**2 - 366*j - 2. Let u(f) = -i(f) + 2*y(f). What is the second derivative of u(t) wrt t? -6*t - 166 Suppose 10 + 11 = 3*j + 3*s, -2*s + 10 = j. What is the derivative of -2*r + 8*r - 10 - j wrt r? 6 Suppose 5*b - 5*n + 8 = 3*b, 4*b = -4*n + 40. Find the third derivative of s**b + s**2 + 0*s**6 + 0*s**2 + s**6 wrt s. 240*s**3 Let g(n) be the third derivative of -n**8/168 - n**7/5 - 21*n**4/8 - n**3/3 - 5*n**2 + 3. What is the second derivative of g(y) wrt y? -40*y**3 - 504*y**2 Let b(l) = l**3 - 11*l**2 + 5. Let c(f) = 290*f**3 + 1 - 3*f**2 - 289*f**3 + 4*f**2. Let r(a) = b(a) - 5*c(a). What is the third derivative of r(j) wrt j? -24 Let h(l) = l**3 - 10*l**2 + 9*l + 4. Let f be (-39)/(-13) + (-6)/(-1). Let y be h(f). What is the second derivative of 9*o + 80*o**2 - 80*o**2 + y*o**3 wrt o? 24*o Let y(k) be the third derivative of -31*k**7/105 + 95*k**3/6 + 28*k**2 - 1. What is the first derivative of y(v) wrt v? -248*v**3 Suppose 140 = w + 4*w. Let h(f) = 7*f - 35. Let s(k) be the first derivative of -k - 13. Let t(b) = w*s(b) - h(b). Differentiate t(d) wrt d. -7 Suppose -7 + 19 = 4*o. Suppose -138 = -2*r - 5*v, -3*r + 165 = -0*r - o*v. Find the second derivative of -r + 59 - 2*w**4 - 5*w wrt w. -24*w**2 Find the third derivative of -78*d**2 + 4*d**4 - 4*d**4 + 1505*d**5 - 1397*d**5 wrt d. 6480*d**2 Let d(v) be the second derivative of 81*v**7/14 + 7*v**4/3 - 496*v + 1. Find the third derivative of d(s) wrt s. 14580*s**2 Find the third derivative of -3*s + 339*s**6 + 79*s**2 - 95*s**6 - 5 + 5 - 95*s**2 wrt s. 29280*s**3 Let y(d) be the first derivative of -11/3*d**3 + 0*d**2 + 13 + 11/5*d**5 + 0*d + 0*d**4. Find the third derivative of y(f) wrt f. 264*f Let j(t) = t**2 - t + 3. Let a(o) = -46*o**2 - 12*o + 92. Let h(g) = a(g) - 6*j(g). What is the first derivative of h(r) wrt r? -104*r - 6 Let d(t) = -4*t**5 + 15*t - 7. Let c(h) = 4*h**5 - 16*h + 8. Let n(k) = 3*c(k) + 4*d(k). Let l(g) be the first derivative of n(g). Differentiate l(r) wrt r. -80*r**3 Suppose 5*d + 2*v - 68 = -0*d, 4*d - v = 44. Suppose 5*k - d = k. Find the second derivative of -k*a + 4*a**5 - 2*a - 2*a wrt a. 80*a**3 Let v(o) = 129*o**4 - 2*o**3 - 33*o**2 - 4. Let q(x) = 131*x**4 - 2*x**3 - 31*x**2 - 4. Let p(a) = -6*q(a) + 5*v(a). Find the third derivative of p(f) wrt f. -3384*f + 12 Let q(z) = z**2 + z - 6. Let w be q(-4). Find the second derivative of 13*m + 16*m**2 - 3*m**2 - w*m**2 - 5*m**2 wrt m. 4 Suppose 5*m - 2645 = 1645. What is the third derivative of -m*r - 47*r**2 + 858*r - 3*r**5 wrt r? -180*r**2 Suppose -7*h + 11*h = 52. What is the second derivative of -h*u + 10*u**5 - 11*u**5 + u**5 + 3*u**5 wrt u? 60*u**3 Let q(d) = 265*d**3 - 10*d**2 - 5*d - 2. Let a(g) = 133*g**3 - 5*g**2 - 3*g - 2. Let k(r) = 5*a(r) - 3*q(r). What is the third derivative of k(o) wrt o? -780 Suppose 66 = -4*h + 90. Let v be 6/21 - (-24)/14. What is the third derivative of -4*q**2 - h*q**2 - 2*q**v - 4*q**6 wrt q? -480*q**3 Let k(a) = -3*a + 7. Let g be k(5). Let u = 12 + g. What is the second derivative of 11*x**4 - 2*x**4 + 2*x - 5*x**u wrt x? 48*x**2 Let q = 130 + -124. Let x(b) be the third derivative of 0*b**5 - 1/40*b**q + 0*b - b**2 + 0 + 0*b**4 - 1/2*b**3. What is the first derivative of x(l) wrt l? -9*l**2 Let z(o) = -o**2 - 4*o + 5. Let r be (-342)/66 + 2/11. Let t be z(r). Find the third derivative of h**2 + 2*h**2 - 4*h**2 + t*h**2 - 7*h**5 wrt h. -420*h**2 Suppose 0 = -4*i - i - 40. Let u = -6 - i. Differentiate 0 - u + 5*x - 2 with respect to x. 5 Suppose 4*g = -3*a + 5 + 4, -4*g + 8 = 4*a. Find the third derivative of 11*b**2 + 18*b**3 - 18*b**g - 2*b**5 - 2*b**5 wrt b. -240*b**2 Let t(h) be the first derivative of 145*h**5 + 5*h**3/3 + 34*h + 443. Find the third derivative of t(n) wrt n. 17400*n Let v(m) be the third derivative of 109*m**7/210 + 15*m**3 + 73*m**2 - 1. What is the first derivative of v(u) wrt u? 436*u**3 Let q = 58 - 55. Find the third derivative of 24*o**2 + 68*o**4 + 59*o**4 - 124*o**4 + o**q wrt o. 72*o + 6 Let m(t) be the first derivative of 311*t**4/4 + t**2/2 - 398*t - 245. What is the second derivative of m(k) wrt k? 1866*k What is the first derivative of -124*s + 293 - 557*s + 476 wrt s? -681 Let y(z) be the first derivative of -z**3/3 - 9*z**2/2 - 10*z + 3. Let o be y(-7). What is the third derivative of 2*f**2 - 2*f**6 - o*f**2 - 2*f**6 wrt f? -480*f**3 Let i(g) be the third derivative of 11*g**8/336 + g**6/20 + 69*g**4/2 - 155*g**2. What is the second derivative of i(r) wrt r? 220*r**3 + 36*r Let p(f) be the third derivative of 221*f**5/60 + 293*f**3/6 + 51*f**2. Differentiate p(z) with respect to z. 442*z Suppose 29 = -6*r - 1. Let w be ((-1)/(-3))/(r/(-30)). Find the third derivative of w*h**3 - 2*h**4 - 2*h**3 + 0*h**3 - 5*h**2 wrt h. -48*h Let l(a) be the third derivative of -47*a**5/60 - 53*a**3/6 + 4*a**2. Differentiate l(u) with respect to u. -94*u Let f(o) be the first derivative of -91*o**4/2 + 12*o**3 + 2*o - 66. Find the third derivative of f(z) wrt z. -1092 Let y(i) be the first derivative of 0*i**4 - 4/7*i**7 - 11/3*i**3 + 0*i + 0*i**5 + 0*i**2 + 0*i**6 + 17. What is the third derivative of y(q) wrt q? -480*q**3 Suppose 2*m - 4 = 2*g - 8, -5*m + 3*g = 0. Suppose -5 = m*l - 14. Find the third derivative of -c**3 - l*c**2 - 10 + 18 - 8 wrt c. -6 Differentiate 0 - 7 + 10*b**2 + 11 - 9 with respect to b. 20*b Let g(z) = -2*z + 4. Let p be g(-4). Suppose 2*t + 2*o - p = 0, 0 = 2*t - 2*o - 2*o + 18. What is the first derivative of -t + 2 - 7*j**4 + 5 wrt j? -28*j**3 Let o(f) be the third derivative of f**7/30 - f**6/40 + f**5/30 + 19*f**4/24 + 66*f**2 - 1. What is the third derivative of o(u) wrt u? 168*u - 18 Let j(s) = -12*s**2 - 191. Let u(q) = -q + 2. Let v(o) = -j(o) + 2*u(o). What is the second derivative of v(k) wrt k? 24 Let i(j) be the third derivative of -j**6/60 - 47*j**5/60 - 93*j**3 + 49*j**2. Differentiate i(g) wrt g. -6*g**2 - 94*g Let m(u) be the second derivative of 44*u**4 - 37*u**2/2 - 27*u + 4. What is the derivative of m(p) wrt p? 1056*p What is the first derivative of -42*n**4 + 65 + 221 + 78*n**4 - 34*n**4 - 43*n**2 wrt n? 8*n**3 - 86*n Let g(q) be the third derivative of q**5/20 - 11*q**4/12 - 499*q**3/6 - 255*q**2. Find the first derivative of g(v) wrt v. 6*v - 22 What is the derivative of -11 - 76 - 60*s - 79*s + 31*s wrt s? -108 Suppose 0 = 50*i - 100 - 150. Let b(a) be the first derivative of -3/5*a**i + 0*a**2 + 9 + 0*a**4 - 2*a**3 + 0*a. What is the third derivative of b(c) wrt c? -72*c Let z(h) be the second derivative of 2*h**7/105 + 17*h**3/6 + 9*h**2/2 + 9*h. Let i(q) be the first derivative of z(q). Differentiate i(w) with respect to w. 16*w**3 Suppose 2*w + 20 = 3*w + 3*c, -53 = -4*w - 3*c. Find the third derivative of 20*o**2 - 3*o**2 + 89*o - 89*o - w*o**5 wrt o. -660*o**2 Let u(r) = -51*r**2 - 35*r - 6. Let m(v) = 152*v**2 + 106*v + 17. Let w(p) = 6*m(p) + 17*u(p). What is the second derivative of w(i) wrt i? 90 Suppose -5*k - 2*v + 183 = 1031, -12 = 3*v. Let s be k/(-30) - 4/(-10). Find the third derivative of 4*m**2 - 7*m**2 + 13*m**2 - 13*m**s wrt m. -1560*m**3 Let p(h) be the third derivative of -253*h**4/12 - 667*h**3/6 + 2*h**2 - 390. Find the first derivative of p(m) wrt m. -506 Let s be (-1 - 3)*11/(-22). Suppose -s*d + 5 - 1 = 0. Differentiate -4 - 8*g**2 - 3*g**3 + 8*g**d wrt g. -9*g**2 Let q be 8/24 + 13/(-3). Let f(g) = g**2 - 2*g - 5. Let s be f(q). Find the third derivative of -s*x**5 + 6*x**6 - 2*x**2 + 3*x**6 + 19*x**5 wrt x. 1080*x**3 Let y be (-2)/(-1)*(36/6 + -5). What is the second derivative of -j**y + 7 + 4014*j**3 - 4043*j**3 + j**2 - 2*j wrt j? -174*j Suppose 5*i + 1 = 11. Let b be (-4)/i*(-10)/4. What is the second derivative of 0*u + 0*u**4 + 2*u + 2*u**4 - b*u wrt u? 24*u**2 Let w(q) = q**4. Let h(o) be the first derivative of -4*o**5/5 - 9*o - 11. Let u(b) = -h(b) + 3*w(b). Differentiate u(i
{ "pile_set_name": "DM Mathematics" }
3*q - 730 = -733. Let y = 3.1 - 4.4. Which is the closest to q? (a) -4 (b) 0.4 (c) y b Let i = 7.11 + -7.31. Which is the nearest to 3/5? (a) -4 (b) i (c) 0 c Let a = 1740 - 1739. What is the closest to a in -0.7, -2.2, 4/7? 4/7 Let i = 2/23 - -15/92. Which is the nearest to -49? (a) -0.5 (b) i (c) 0.2 a Let w = -2 - -1. Let l = -553.136 + 550. Let j = l + 0.136. Which is the nearest to w? (a) -5 (b) j (c) -1/3 c Let n = 9 - 9.3. Let f = 309 + -318. Which is the closest to 1? (a) f (b) n (c) 4 b Let w = 248 - 245. What is the closest to 0 in 5, 1, w? 1 Let z = 22 - 21.88. Let y = -1.88 - z. Let v = -1 - -1.1. What is the closest to -3 in -0.5, y, v? y Let v = 315 + -314.005. Let j = 0.005 + v. What is the nearest to j in 3, 0.3, 0.4? 0.4 Let x = -4.77 - -5.97. Which is the closest to -3? (a) 2 (b) 0.1 (c) x b Let g = 1784.96 + -1785. Let t = 0.4 + 0.1. What is the nearest to 2/7 in g, t, -2? t Let o = 6.3 + -6. Let l be (-1)/3*(0 + -4 - (-118 - -108)). Which is the closest to -0.1? (a) 2 (b) l (c) o c Let v = 0.211 + 2.789. What is the closest to 2/7 in v, 1, -1? 1 Let y = 6032/7 - 862. Which is the closest to 1/3? (a) -2 (b) y (c) 3/10 (d) 2 c Suppose 24 = -84*u + 76*u. What is the closest to u in 0.4, 2/17, 0.1? 0.1 Let t(h) = h**2 - h + 28. Let r be t(0). Let i be ((-2)/(-7) - 8/r)/2. Which is the nearest to 7/4? (a) -4 (b) i (c) -0.2 b Let k(y) = -y**3 - 6*y**2 + 8*y + 9. Let w be k(-7). Suppose -7*n - 20 = -w*n. What is the closest to 1 in n, 3/8, -0.4? 3/8 Let q be 46/3*6/4. Let o = 21 - q. What is the nearest to -1/7 in 3/2, o, -0.5? -0.5 Let s = -26 + -5. Let g = s + 30.6. What is the closest to g in 2/19, -5, 1/9? 2/19 Suppose 6*d + 4*d + 40 = 0. Suppose 0 = -h + 7 + 5. Let z = h + -11. What is the nearest to 2 in d, 1/4, z? z Let z(x) = 13*x**2 + 82*x + 27. Let i be z(-6). Let k = -4 - -3. Which is the closest to k? (a) -1/8 (b) -4 (c) i a Let d be (-71)/(-3124)*3*8/3. Which is the closest to -15? (a) 4/5 (b) d (c) -2 c Let i = -13.29 - -0.29. Let w = i + 17. Which is the closest to -0.1? (a) -4 (b) w (c) -1/10 c Let g = -0.36 - -1.06. Let i = g - 0.8. What is the nearest to 0 in -5, 6, i? i Let h(d) = 17*d - 1. Let k be h(3). Let i = k - 46. What is the closest to -0.1 in -4, i, -0.2? -0.2 Let i = 254/7 - 3316/91. Let j = 0.1 - 0. Let y = -6668/11 - -606. Which is the closest to j? (a) 4 (b) y (c) i c Let j be (8/10*-1)/((-15)/75). Let s = -0.03 - -0.43. What is the nearest to -1 in s, 3, j? s Suppose -3*p + 15 + 3 = 0. Let j(t) = -2*t + 6. Let a be j(p). Let w = -1 - a. What is the closest to -2 in -2/9, w, -1/6? -2/9 Let l = 529.6 + -530. Let c = 10 + -5. What is the closest to 0 in c, l, -0.1? -0.1 Let p = -296.1 - -296. What is the nearest to 2 in -3, 1/4, p? 1/4 Let t = -19 + 38. Let m = t + -19. What is the nearest to m in -1/3, -2, 3/2? -1/3 Let d = -65 - -104. Let n = d - 43. Let v be -2 - ((-38)/10 - -2). What is the nearest to 1/3 in 5/4, n, v? v Let x be (-2)/5 + 132/80. Let v = -21 - -20.7. What is the nearest to 1 in 1, v, x? 1 Let n = 15.7 + -11.7. What is the nearest to -2/9 in -0.4, -4, -3, n? -0.4 Let r = -26.83 + 27. Let j = 69.07 - 69. Let m = j - r. What is the nearest to 0.3 in m, -1/4, -2/7? m Let g = 881 + -879. Which is the nearest to g? (a) -8 (b) 1/3 (c) -0.4 b Let m(d) = d**2 + 4*d + 5. Let o be m(-2). Let l = 66 + -64. Which is the closest to 2/13? (a) l (b) -1/3 (c) o b Let b(i) = -2*i + 29. Let l be b(15). What is the closest to -2/3 in l, 2/13, -1/2? -1/2 Let r = 3423/8 - 428. What is the nearest to -0.15 in -4/7, 0.5, r? r Let z = 0.467 - 0.867. What is the closest to 0 in -4, z, 2, 1.6? z Let q = 1945 + -5839/3. What is the closest to 5 in 1, -5, q? 1 Let z be 15/(10350/(-20))*(1 + -4). Which is the closest to 7? (a) z (b) -3 (c) 1/32 a Let a = -0.24 - -0.34. Let y = -7 - -27/4. What is the nearest to a in y, 0.2, -6? 0.2 Let h = 0.209 + -0.409. Let v = 29 - 28.9. What is the closest to v in -5, h, -5/6? h Let t = -108.1 + 103.1. Let q = -6 - -9. What is the closest to q in t, 1/2, -0.5? 1/2 Suppose -5*z + 8 = 8. Let q be 2/(-4)*(-14)/21. What is the nearest to q in -1/6, 3, z? z Let i = -9.44 + 0.74. Let j = -9.2 - i. What is the closest to 0.5 in -4, j, 0.3? 0.3 Let z = 102 + -99. Which is the closest to 3/5? (a) 1 (b) z (c) 2 a Let t(w) = 4*w - 34. Let s be t(10). Suppose s*d = -4*c + 3*d - 16, -d = c + 5. Let r = 0.3 - 3.3. What is the closest to 0.2 in -0.2, c, r? -0.2 Let h be 7 - ((-8)/10)/((-8)/80). Let j = -1 - -3. Let s be (2 + -12)*(-2)/(-4). Which is the closest to j? (a) h (b) -5/3 (c) s a Let v be 6789/3942 - 4/(-18)*-1. Suppose 2*w - 5*w + 15 = 0. Which is the closest to -1/4? (a) -4 (b) v (c) w b Let q = 190.9 - 188. What is the closest to -2 in 1/11, 4, q? 1/11 Let f = 3599/40 - 723/8. Which is the closest to f? (a) -1 (b) 7 (c) 5 a Let k = -49 - -21. Let l = -28 - k. Which is the nearest to l? (a) 2/3 (b) -0.1 (c) 1 b Suppose 3*m + 9 = -0*m. Let y = m - -7. Let k be ((-14)/(-4))/(-7)*1. Which is the nearest to k? (a) -2 (b) -0.1 (c) y b Let u = 9.2 - 9.3. Suppose 20 = -3*j - j. What is the closest to 3 in u, -1, j? u Let h = -0.06 + 2.06. Let o(d) = -1 + 85*d**3 + 3*d**2 + 0*d**2 - 84*d**3 + 2*d. Let s be o(-2). Which is the nearest to s? (a) 4 (b) h (c) -3/4 c Let y = -23.3 + 22.9. What is the nearest to y in -3, -31, -4? -3 Let b = 63.97 - -0.03. Let v = -62 + b. What is the nearest to -0.3 in -1/8, 4/7, v? -1/8 Let v = -0.2 + 0. Let s = -13.9 - -14. Which is the nearest to v? (a) s (b) -5 (c) 1/4 a Let f = -1.105 + 0.905. What is the closest to 0.6 in 4, -4, f, 5? f Let d = -0.07 + 0.12. Let p = d - 0.15. What is the closest to 0.1 in 3, 0.1, p? 0.1 Let y = 1.8 - 11.8. Let k = y + 5. What is the nearest to -1 in -0.5, 1/2, k? -0.5 Let u = 394 - 388. Which is the closest to u? (a) -3 (b) 6 (c) 0.4 b Suppose 31 = 44*l - 13. Let k = -0.26 + -0.04. What is the closest to -0.3 in 1/4, l, k? k Let q = -3.417 + -0.583. What is the nearest to 2 in q, 4, 2, -3? 2 Let r = -31.58 - -32. Let q = r + -0.92. Let i(t) = t**2 - 1. Let w be i(0). Which is the closest to w? (a) q (b) 1 (c) 0.4 a Let m = 0.41 - 5.41. Let n = -1526/3 - -509. Let u = -0.2 - -0.4. What is the closest to u in n, -2, m? n Let r = -619387/2 + 10545215/34. Let o = -460 + r. Let x(u) = -u**2 - 15*u - 4. Let g be x(-15). Which is the nearest to -2/11? (a) o (b) 3 (c) g a Let u = -39 + 35. Let o be (-3)/(-6)*(-3)/(-1). Which is the nearest to o? (a) -3 (b) -0.1 (c) u b Let k = 0.16 - 0.66. Let o = 5/32 - 89/160. Which is the closest to 1/4? (a) o (b) k (c) 0.2 c Let u = -551.2 - -551. Let t = 0.1 + 0.4. Which is the nearest to -2? (a) t (b) u (c) 1 b Let q = 1.8 + -2. Let r = -48744/5 - -9749. What is the closest to q in 2, -4, r? r Let s = 1023 - 1023.1. Let k = 0.26 + 0.04. What is the closest to 1/3 in s, -4/7, k? k Let q be (5 + -4 - 1)/(1 - -1). Which is the closest to 0? (a) -4/5 (b) 2/3 (c) -0.5 (d) q d Let z be ((-12)/9)/4*3. Let v be 3/(-10) + z/5. What is the closest to v in 0.3, 5, 4? 0.3 Let d = -48 + 48.39. Let r = 0.35 - d. What is the closest to r in -4, -5, 0.4? 0.4 Suppose 2*m = -3*n - 2*m + 13, -n - 5*m = -8. Suppose 25 = 5*t + 2*p - 7*p, -n*t = -p - 13. Let l = -55 - -54.6. What is the nearest to 1 in 0.4, l, t? 0.4 Let w = 43 - -7. Let k = w - 49. Which is the nearest to -0.2? (a) 5 (b) k (c) -0.2 c Let n = 0.23 + -0.3. Let z = n - -0.17. Which is the closest to z? (a) 0.5 (b) -3 (c) -4 a Let k = -281 + 282. What is the closest to 2/5 in 5, 10, -0.4, k? k Let z = -2410 + 2410.1. Let p = 8 + -5. Which is the closest to -0.1? (a) p (b) z (c) -1.2 b Let u be (3/(-9))/((-5)/30). Let i = 25 + -24.9. What is the closest to 1 in i, -0.3, u? i Suppose 0 = -n + 2*n - 2*h - 14, -5*h - 29 = -n. Let p = -120.1 + 115. Let d = p + 0.1. What is the nearest to -0.2 in n, -4, d? -4 Let i be 88/55 - 236/160. Which is the nearest to i? (a) 0.5 (b) -0.5 (c) -0.3 (d) -1/6 d Let p be (8/84*-1)/((-15)/70). What is the closest to 2 in 14, -2/17, p? p Let x = 757 - 762. Which is the closest to x? (a) 3 (b) -0.5 (c) -2 c Let r = -20 + 20.5. Let v be ((-9)/(-6))/((-12)/(-2)). Which is the closest to 2? (a) -3/5 (b)
{ "pile_set_name": "DM Mathematics" }
)/((-72750)/(-3465) - 21). Is r >= 305? True Let m be 0/19 - (-2121)/7. Which is smaller: 302 or m? 302 Let q = 12 - -12. Suppose -3*f - q - 81 = 0. Suppose -5*a = -92 + 272. Is a smaller than f? True Let b = 110254 - 6284479/57. Suppose 0 = 3*x - 3. Suppose d = -3*y - x, -3*d = 2 + 10. Is y at most b? False Let g be (-969)/399*(-42)/(-12). Suppose -2*k + 3 + 1 = 0. Suppose -13 = k*u - u - 2*v, 5*u + 2*v + 41 = 0. Which is smaller: g or u? u Let t = 547 - 1632. Let u be (11/7 - 1)*t/(-558). Is u greater than or equal to -4? True Let r = 5247 - 5678. Which is bigger: -434 or r? r Let r be 2/(-25) - -2*25905/750. Which is smaller: 28 or r? 28 Suppose -109*j = 788161 - 116176. Which is smaller: j or -6168? -6168 Let x = 439299156/5161 - 85119. Which is greater: x or 1? 1 Let j be ((-14)/(-371))/((-2)/21302). Let b = j + 402. Suppose 3*a + 3 = 4*a, 4*n - 2*a = -2. Do b and n have the same value? False Let s(z) = 3*z**3 - 16*z**2 - 7*z - 17. Let q be s(6). Let d = -27 - -11. Which is smaller: q or d? d Suppose 0 = -140*y + 153*y - 1001 - 1495. Suppose z = 5*q - 84 - 879, 4*q = 5*z + 783. Is y bigger than q? False Suppose 16 = 7*k - 3*k. Suppose -2*w - 260 = n + 4*n, 3*w = -k*n - 390. Let x be (-74)/w + 3/30*-6. Is x >= -1? True Let s = -76 + 167. Let o = -51 + s. Let a be (-3 - -2) + -1 + o/12. Which is smaller: 1 or a? 1 Let s(x) = -x**3 + 3*x**2 - 3*x + 10. Suppose 5*w + 0*w - 4*y = -177, -2*w = -3*y + 75. Let j = w - -37. Let f be s(j). Which is greater: -17 or f? -17 Let y = 94 + -33. Let c = y + -181/3. Let f be 1/(176/10) - ((-456)/64 + 7). Is c at least as big as f? True Suppose 111 = 5*d + 3*f, -2*d + d + 5*f + 39 = 0. Suppose 20*i = d*i + 160. Which is greater: i or -38? -38 Let q = -486 - -198. Let n = q + 308. Is n less than or equal to 19? False Suppose -34*v = 28*v + 1998 + 5318. Which is smaller: v or -68? v Let c be 9*(-4)/(-24)*(-2)/(-3). Let j = -280/139 + 190962/94937. Which is smaller: c or j? j Let o(t) = -2*t - 4. Let j be o(-4). Let p be (-101877)/10*j/50. Let r = 815 + p. Which is smaller: -1 or r? -1 Let t be (-4)/(-8)*(-1 - -1). Suppose 5*w - 170 = -t*w. Suppose -x + 3*x = -w. Is x at most -17? True Let a = 1548 - 1547.9. Is 1965 smaller than a? False Let p(l) = l**3 - 17*l**2 + 2*l - 19. Suppose -2*m - 2*m + 2*k + 70 = 0, m - 19 = 2*k. Let u be p(m). Let z be 3/u*(62/(-16) - -2). Is z not equal to 1? True Let o = -150.18 + 182.18. Does o = 1? False Suppose 0*v = -3*f + 5*v - 224, 3*f + 203 = 2*v. Let r be (9/(-6))/(6/254). Which is greater: f or r? f Suppose -4926*r + 4910*r = 16. Which is bigger: r or -1/3070? -1/3070 Let i be 1155/(-7) + 2 + 0. Let t = i + 8640/53. Suppose 0 = -2*k - 5*p - 8, 0*k + k = p + 3. Which is smaller: k or t? t Let a = 27.4 - -305.6. Let i = -258 + a. Do 0.2 and i have different values? True Let c = -401 + 410. Suppose 0 = t + 3*t - c*t. Which is smaller: -4/207 or t? -4/207 Let j(r) = 7*r - 51. Let m be j(8). Suppose 0 = -4*d - 5*c + 988, 5*c = m*d - 1111 - 79. Do 241 and d have different values? True Let m = 51298/57 - 900. Let r = -30 + 29. Is m less than or equal to r? False Let d = 2 + -167. Let x = d + 164.82. Is x at most 2/7? True Let a(y) = -6976*y + 64. Let z be a(1). Is -6911 <= z? False Let i(x) = -x + 12. Let g be i(6). Suppose -8*s + g*s + 902 = 0. Let q = 41491/92 - s. Which is bigger: q or 0? 0 Suppose 3447 = 119*q - 110*q. Suppose q*z - 387*z - 368 = 0. Which is smaller: 1 or z? z Let x(o) = o**2 + 3*o - 54. Let b be x(-9). Suppose -3*j = -b*j - 5*h - 140, 4*j = -5*h + 140. Which is smaller: j or 2? 2 Suppose 8*o = 12*o - 76. Suppose -8 - 15 = 3*q + 4*n, 4*q = -3*n - o. Let j be ((-21)/98)/((-3)/q). Which is bigger: -1 or j? j Let f be (2/3)/((-3)/(-9)). Suppose -2*o - 2*h + 58 = 0, f*o + 2*o - 106 = -2*h. Let l = 100 - 77. Is o equal to l? False Let j be 13/(-18)*28 + -4 + 2. Let u = j - -1057/18. Which is greater: u or 38? 38 Let r = 10 + -8. Let f = -84.3356 - -1.3356. Which is smaller: r or f? f Let w = 7 - 6. Let d = 7041 - 112655/16. Is w at least d? True Let g be ((-3)/(-2))/(-1 + (-244)/(-248)). Let r = g + 98. Suppose -r*h - 6*f = -f - 40, 0 = -h - 5*f + 8. Which is bigger: 60/7 or h? 60/7 Let s = -37 + 81.8. Let r = s - 40.8. Which is smaller: r or 13? r Let g = 0.29 - -60.71. Let b = 18.224 + -16.224. Which is greater: g or b? g Let s = 1 - -24. Let q = -108 + 79. Let f = s + q. Is -0.8 <= f? False Let h(s) = 20*s**2 + 12*s - 13. Let b be h(1). Suppose 75 = 24*l - b*l. Which is smaller: 12 or l? 12 Suppose 3*x - 3 = 4*x. Let k be (x + 0 - -2) + 1. Let d = -2084/589 - -66/19. Which is smaller: k or d? d Let h(p) = -p**3 - 18*p**2 + 39*p - 25. Let x be h(-20). Is -1445 > x? False Let o = 1.7 + 72.3. Let l = o - 51. Let v = -23.2 + l. Which is greater: v or -8? v Suppose 4*k + 8 = -2*z, -3*k + 0*z + 2*z - 13 = 0. Let j be ((6/5)/2)/(1/k). Which is bigger: j or 1/6? 1/6 Suppose -5*l = -0*l + 5. Let r be (398/(-4577))/((-1)/5). Are l and r unequal? True Let t(u) = 5*u - 9. Let i(l) = -11*l + 19. Suppose 26 - 62 = -4*q. Let w(z) = q*t(z) + 4*i(z). Let b be w(4). Which is greater: 3 or b? 3 Let f = -5 + 6. Let a = 582 - 576. Let g be a/8 + (-3220)/4144. Which is greater: g or f? f Let y = -21 + 31. Let b be (2/3)/((-8)/(-1668)). Let q = -128 + b. Which is smaller: y or q? y Let u = 123 + -121. Let q be 191*u - (-4 + (-6 - -10)). Are q and 382 equal? True Let b = 93 - 30. Suppose 6*l + b = 21. Let y be l/2*12/(-2373). Which is bigger: 1 or y? 1 Let l = 109483983/17 + -6438090. Let h = 2143 - l. Do -1 and h have the same value? False Let y be -1 + 4 + 2 + 17. Let i = y - 17. Let c = 45/2 + -221/10. Which is bigger: i or c? i Let c be 6/42 - (-814)/(-210). Which is smaller: 4 or c? c Let i = -18.99 - -19. Let q = i - 2.01. Let s = -14.3 - -13. Which is greater: s or q? s Let t = -63.853 - 0.147. Let j = 6626.94 + -6691. Let p = j - t. Which is greater: -2 or p? p Let o(m) = 2*m - 42. Let s(g) = 8*g - 51. Let z be s(7). Let k be o(z). Which is bigger: k or -29? -29 Let v be 79 + -2832 + (2 - 3)/(-1). Does v = -2754? False Let b = 4115 - 4115.471. Is b not equal to 4? True Let r(j) = -5*j + 0*j + 23*j - 9*j - 1 - 8*j**2 - j**3. Let z be r(-9). Is 3/83 smaller than z? False Let i(n) be the first derivative of 5*n**3/3 + n**2/2 + n - 21. Let z be i(1). Let t = z - 6. Is t less than or equal to 7/11? False Let l be (-3248)/(-110) - (-14 + 15). Let a = l + -189/5. Let j = a - -9. Which is bigger: 0 or j? 0 Let j be -2 + 3 + (-3)/3. Let l = -969 + 59103/61. Do j and l have the same value? False Let s = 193 - 2507/13. Is 1403 greater than s? True Let b = -154581/4 - -2189639873/56660. Which is smaller: b or 0? 0 Let w(h) = -35*h + 91. Let i be w(-10). Suppose -327*j + 324*j = i. Which is smaller: -146 or j? j Suppose -6 = 2*l - 12. Let j be l/4 - 58/87. Does j = 2? False Let g be (9 - 21)/((-5)/(5680/72)). Is g != 190? True Suppose 300 + 1888 = 3*t - 4*h, 0 = -5*h - 20. Suppose -244 = -6*n - t. Let v = -60 - n. Is 19 bigger than v? False Suppose -3*q - 11 = p, -8*q + 5*q - 3*p - 15 = 0. Which is greater: -111/28 or q? q Suppose 12 = 6*i - 5*i. Suppose -4*n + 4*a = 0, -5*n + 3*n - a + i = 0. Suppose 5 = -3*v - n*c - 10, 2*c + 6 = 0. Which is smaller: 6/43 or v? v Let p = 203 - 342. Let d = 697/5 + p. Let m = 14 + -15. Which is bigger: d or m? d Let d = -67 + 147. Let w = d - 88. Let t = 0.29 - 0.09. Which is bigger: t or w? t Suppose 26 = -3*v + 16*v. Let d be ((-1)/(-2) + -1)*v. Which is smaller: 4/153 or d? d Let a = 29061 + -25744. Which is smaller: a or 0? 0 Let b(f) = 6*f**2 - 15*f - 48. Let z be b(-13). Suppose z = -24*a + 3153. Is a >= 83? True Let i be ((-62)/154008*36)/((-2)/(-36)). Let d = 0.13 - 5.13. Which is smaller: d or i? d Let g = -2/1933 + -48313/11598. Let s(n) = 8*n + 220. Suppose 15*l = 8*l - 196. Let m be s(l). Is m less than g? False Let n = 30117 - 89087/3. Is 421 smaller than n? True Let w = 26/5 + -57/10. Let p = -4863/244 - 50/61. Which is greater: w or p? w Let c = -46 - -45. Let y be (-288)/(-54) + (c - 4). Which is bigger: 0 or y? y Let s be 7 + -3 - -9 - -3. Suppose -2*o - s = -10*o. Suppose -a + 0 = -u + 8, -o*u = -3*a - 14. Is -2 != u? True Suppose 0 = -513*m - 28354 + 158656. Which is bigger: m or 276? 276 Let j be (-210)/24*((-1)/5)/((-25)/(-3050)
{ "pile_set_name": "DM Mathematics" }
-1127)*34/51. Which is smaller: a or 1? a Let g be -3 - ((-13396)/5712 + (-2)/24). Let d = -40.9 - -44. Let q = -3 + d. Are g and q unequal? True Let s(f) = f**3 - 6*f**2 + 8*f + 3. Let b be s(6). Suppose b = j + 49. Suppose 4*n + 5*v = -21, 30 = 4*n + n - 5*v. Is n at most j? True Let u = -92/21 + -1/3. Is -6 equal to u? False Let f be ((-165)/(-15) - 15)*3/249. Which is bigger: 0 or f? 0 Let i = -95 - -97. Which is smaller: i or 10/7? 10/7 Let x = 145246/29 + -5009. Which is bigger: x or -1? x Let i = 10.51 + -10.5. Is -0.15 at least as big as i? False Let m = 138 - 1530/11. Which is greater: -0.1 or m? -0.1 Suppose -10*l = -7*l - 78. Let y = -32 + l. Is 2 at most y? False Suppose 6*c - 80 = -10*c. Let y be 6/c*(-30)/(-12). Which is smaller: y or 7? y Let h = 8 - -40. Let o = 47 - h. Let g = 4 + -1. Which is smaller: g or o? o Let h = -334.3 + 322.3. Let k = 0.2 + -0.2. Let o = 1 - k. Is h at least o? False Let k be (12/(-20) - (-192)/20) + 4. Let b(j) = -2*j**2 + 22*j - 15. Let l be b(k). Is l at most as big as 0? True Let t = -3 - -4.3. Let u = -2.3 + t. Is 4/3 > u? True Let v = -1078.8 + 1079. Which is smaller: v or -333? -333 Let y(z) = 2*z - 6. Let p be y(5). Suppose 11*o + 7 + p = 0. Is o equal to -1/13? False Let z = -5.93 - 0.07. Let t = 5.9 + z. Let j = 8 + -16. Is t smaller than j? False Let f = -124 + 52. Let o = 9925 + -9998. Which is smaller: f or o? o Suppose -5*d + 675 = -5*r, -3*r - 2*r = 4*d + 630. Are r and -132 nonequal? True Suppose m - 4 - 25 = 0. Let v = -28 + m. Which is bigger: v or -1? v Let z be (0 + 1)/((-11)/22). Let i(k) = -k**2 - 5. Let c be i(-4). Let g be c/(-27) + 1 + z. Which is smaller: 0 or g? g Let z = 68 + 72. Let a = z + -136. Is -6/7 < a? True Let o(a) = -a**3 - 31*a**2 + 25*a - 107. Let c be o(-32). Which is smaller: c or 116? 116 Let m = -258 - -257.6. Which is greater: -15/7 or m? m Suppose -2*k + 5*h = 31, -18*h + 14*h = -4*k - 68. Is -8 at least k? True Let g = -118 - -119.9. Which is smaller: g or 3? g Let j = -1369291/390 + 3511. Which is bigger: j or 0? 0 Let s = 28 + -113. Is s less than or equal to -83? True Let j(u) = -u**3 - u - 11. Let h be j(0). Let c be (-8 - h)*15/18. Which is smaller: c or 4? c Suppose 3*r - 100 = 4*w, -2*r + w + 0*w + 75 = 0. Which is smaller: 39 or r? 39 Let f = -12 - -39. Let s = -19 + f. Let t = s - 7.7. Is t greater than 1? False Let u = 2.99 + 28.01. Is u less than or equal to 4? False Let h = 3109 - 40395/13. Let f = 24/13 - h. Let a(x) = x**3 - 6*x**2 - 8*x + 6. Let t be a(7). Which is smaller: f or t? t Let l be 4/(-3)*(-4)/144. Let g = 16/297 + l. Are 1 and g non-equal? True Suppose 22*h - 8*h + 32*h = 0. Which is bigger: 3/2587 or h? 3/2587 Let i = -36/109 + -332/1635. Do i and 0 have different values? True Suppose 5*k = 6*k. Suppose 3*z - 15 = k, 2*i + 0*i = -3*z - 37. Let h = 26 + i. Which is greater: 3/25 or h? 3/25 Let j(q) be the first derivative of q**4/4 + 2*q**3 + 5*q**2/2 + 3*q - 1. Let f be j(-5). Suppose t = 5*b - 21, -f*t - 3*b = b - 13. Is -1 >= t? True Let r be (1 + 0)/(664/(-84) - -8). Are 1/2 and r nonequal? True Let c(g) = -g**2 - 4*g + 38. Let w be c(-8). Suppose 7*r = w*r. Does -18/17 = r? False Suppose -5*h - 153 - 127 = 0. Is h at most as big as -53? True Let u = -78 + 92. Let w be (u - 12)/(4/(-6)). Is -7/2 smaller than w? True Let k = -0.49 + 0.53. Does k = 111? False Let r = 496 + -134. Which is bigger: r or 363? 363 Suppose -8 = g + 12. Let n be (10/(-4) - -3)*0 - 19. Is g bigger than n? False Let b be 21/(-14)*((-4)/(-6))/(-1). Which is smaller: -3/35 or b? -3/35 Let w = 304 - 223. Is 82 > w? True Suppose 2*j = 4*s + 60, -26*j + 5*s + 24 = -25*j. Which is smaller: j or -9? -9 Let k = 1275 + -829. Is 445 less than k? True Suppose -44*g + 2 = 46. Which is smaller: 2/1053 or g? g Let n = 775.2 - 775. Which is greater: 2/655 or n? n Let l be 3*1079/(-39) - (0 + 0). Is -83 greater than l? False Let g = -0.25 + -5.75. Let m = g - -4. Is m less than -23? False Let m be (-112)/140*((-34 - 0) + -1). Let x = m - 33. Is -5 <= x? True Let i be 1 + 1 + 1 + -98 + 4. Let d be (-2)/91*6 - 14/i. Which is bigger: 0 or d? d Let l be ((-3)/65)/((-18)/(-12)). Let s = -5 - -12. Let g be (-3)/s - (-6)/14. Which is greater: l or g? g Let u be ((-2)/(-3))/((-2)/6). Suppose 11*m + 3*m = 3*m. Suppose -5*s + 1 - 21 = m. Which is smaller: s or u? s Let t = -969 + 968.52. Which is greater: t or 5? 5 Let j be (-2432)/(-456) + (-1 + -3)*1. Does -16 = j? False Suppose -74 = 5*v + 51. Let h = v + 32. Is h <= 7? True Let i = 102 + -103. Is i >= -6? True Let w(o) = o**3 + 19*o**2 - 17*o + 5. Let d be w(-20). Let y = d + 54. Is 2/85 not equal to y? True Suppose -4*q - 14*w = -9*w + 1076, -2*w = -4*q - 1048. Which is smaller: -265 or q? -265 Suppose 2*s + 0*s = s. Let f be 24/(-60) + (-126)/(-340). Do s and f have the same value? False Let f = -11 - -14. Suppose -i + 10 = 3*d, d = -2*i + 8 + 2. Suppose f*n + 12 = -4*y, y + y + d*n = -8. Is y >= -2/35? True Let d(g) = g. Let f be d(-2). Let j = -9.04 - -9.14. Which is smaller: j or f? f Let v(t) = -t**2 - 5*t + 8. Let a be v(4). Let h = 7 - a. Is h greater than 35? False Let q be 83/5 - 10/(-25). Suppose 2*g = 3 - q. Suppose -k + 3*m = 5, -4*k + 4*m = 21 + 7. Do k and g have the same value? False Let c(r) = -4*r**2. Let m be c(1). Let u be ((-6)/m)/((-3)/(-8)). Let n be u/1*1/58. Which is smaller: n or 0? 0 Suppose -5*v + 2 = 7. Let x be (v/(-2))/(0 - 3/(-6)). Which is bigger: 2/161 or x? x Let x(h) = -h**3 + 10*h**2 - 14*h + 1. Let z be x(5). Is 57 at least z? True Let k = -0.098 + -75.902. Let m = k + 75.8. Is -7 equal to m? False Let r(o) = -o + 17. Let h be r(13). Suppose 9 = -5*j - 4*k, 4*j - k + h - 1 = 0. Is j at most -3? False Let h = -24.04 - -24. Let g = 1.15 - -2.81. Let s = h - g. Which is greater: s or -1? -1 Let c be (-24)/288 + 8282/24. Are 343 and c non-equal? True Let f be -90 - (6/(-4))/((-6)/(-8)). Let j be f/30 - (3 - (-18)/(-5)). Which is smaller: j or 0? j Let t = 2/75445 - 153232/88346095. Is t at most as big as 1? True Let r = -423 - -422.7. Which is smaller: 40 or r? r Let g be -4 + 7 + 9 - 5. Is g > -32? True Let m be 6*(1 + 340/(-328)). Which is smaller: m or -1? -1 Suppose 4*v + 3 = 3*v. Let z be (-1)/v + 28/12*-1. Which is bigger: z or 2.9? 2.9 Suppose -3*g - 5*v = -45, 103 = g + 4*g - v. Let n be (1 - 2) + -2 + 33. Suppose -5*b + 3*h = g, 2*h + n = -5*b + 3*h. Which is smaller: -8 or b? -8 Suppose 0 = n + 2*u - 10, 0 = -5*n + 4*n - 3*u + 15. Let t = 258 + -1294/5. Are n and t unequal? True Suppose -2*t = -11 - 3. Suppose 6*z = t*z - 4. Suppose -3*o + n = 5, -3*n + 10 = -z*o - 0*n. Is o greater than -3? True Let d be (21 - 19)/((-8)/(-2)). Are d and -1577 nonequal? True Suppose -4*k = -5*a - 16, -21 = 10*k - 5*k + 4*a. Which is smaller: -2/4403 or k? k Let i = -390 - -389.79. Is i less than -1/14? True Suppose -2 = -4*y + 6. Let z be (-6)/3 - -1 - y. Suppose 0 = 7*p - 15 + 43. Which is smaller: p or z? p Suppose 1090 = -5*v + 2*x, 0 = -15*x + 17*x. Which is smaller: -217 or v? v Let j = 779 - 1074. Are j and -2 nonequal? True Let u = -217 + 104. Is -1/8 <= u? False Let x(k) be the first derivative of -3*k**4/2 - k**3 - k**2/2 - 2*k + 5. Let n be x(-2). Let w be (-1)/5 + n/405. Is w > -1? True Let j(l) be the second derivative of 0 + 1/3*l**3 - 5*l + 2/3*l**4 - 13/2*l**2 - 1/20*l**5. Let k be j(8). Are 4 and k equal? False Suppose 4*p - 2 = 2. Let c(q) = 5*q - 267. Let t be c(0). Let v be -4 + (0 - t/66). Is v at least as big as p? False Let b = 72 + -51. Let m = b - 21. Which is greater: 12 or m? 12 Let y be 2 + (0 - -4)/(-4). Let q be 3*-2 + y + 4. Let c be (q/3)/((-5)/(-40)). Is 0 != c? True Let q be 1/(24/9 - 3). Let r be 118/(-28) - 1/(-2). Is q greater than or equal to r? True Let p = 676.93 + -677. Are -1/21 and p nonequal? True Let x(c) = -4*c + 1. Let t(k) = -5*k + 2. Let i(s) = 3*t(s) - 4*x(s). Let r be i(-12). Does -10 = r? True Suppose x - 27 = 5*x + j, -5*x = j + 33. Which is smaller: -1 or x? x Let b = 1339 - 1340. Is 2/389 != b? True Suppose -23*j - 19456 = -61*j. Are j and 511 nonequal? True Let s(w) = 9*w. Suppose 3*c = 5 - 2. Let g be s(c). Suppose 3*u + 3 = 0, 2*u = 5*k + g + 4. Which is smaller: k or -2? k Let f be -2 + (0 - 6)/(-1). Suppose 4*r = d - 8 + 70, -d = f*r
{ "pile_set_name": "DM Mathematics" }
-5 (b) 0.059 (c) -3 b Which is the nearest to -1? (a) -4 (b) -1/4 (c) 11 b What is the closest to -1.6 in -10, 3, -3? -3 What is the nearest to 1 in 1, 2, -5, 0.2? 1 Which is the nearest to 0.9? (a) 5/3 (b) 75 (c) -4 a What is the nearest to -2/3 in 0.1, 3, -554? 0.1 Which is the nearest to -1/2? (a) -5 (b) 3 (c) 1/4 (d) -16/5 c What is the closest to -4.1 in 0.1, 2, 0.4? 0.1 Which is the closest to -1? (a) 1 (b) 24 (c) -2 (d) -2/5 d Which is the closest to -47? (a) 0.5 (b) 0.3 (c) -5 c Which is the nearest to -1/9? (a) -4 (b) -0.4 (c) 3 (d) 99 b Which is the closest to -5? (a) -4/5 (b) 5 (c) 1/6 (d) -7 d What is the closest to -2 in 0.2, 2, -16, -3? -3 What is the nearest to -7/4 in 9, 2/3, -0.2? -0.2 What is the closest to -2/9 in 0.4, 0, -2, 5/16? 0 What is the nearest to -2/7 in 0.4, -1/2, 18.1? -1/2 What is the closest to 2 in -2, -3, -6/11? -6/11 What is the nearest to 1/4 in 1, 131, -1? 1 What is the nearest to -1 in 1, -1/2, 1/8, -1? -1 Which is the nearest to 0? (a) -1 (b) 1/6 (c) -18/5 (d) 4 b What is the nearest to 1 in -0.5, -14, -3/5? -0.5 What is the nearest to -224 in 3, -0.4, 5, -0.5? -0.5 What is the nearest to 2 in -2, 0.3, 1/4, -2/11? 0.3 Which is the nearest to -1? (a) -35 (b) 5 (c) -4 (d) -1/6 d Which is the nearest to 2/7? (a) 4 (b) 0.4 (c) -237 b What is the nearest to 2 in 0, -3/5, -13, 83? 0 Which is the closest to -89/5? (a) -0.5 (b) 0.07 (c) -3 c What is the closest to 27 in -37/3, -2/17, -4? -2/17 Which is the closest to 0.024? (a) -3 (b) 4/5 (c) 4 b Which is the closest to 2/11? (a) 0.3 (b) -0.7 (c) 1 (d) -5/2 a Which is the nearest to 41? (a) 0.3 (b) 1/4 (c) -2 a What is the nearest to -169 in 0.5, 1, 2/13? 2/13 What is the nearest to 0 in -1/2, 1, -9, -1/12? -1/12 Which is the nearest to -2/63? (a) -1 (b) -2/7 (c) 0.2 (d) 5/3 c What is the nearest to -2/5 in 4, 0.1, -17, 0.5? 0.1 Which is the closest to -1? (a) -19 (b) 0.1 (c) 0 (d) 4 c What is the closest to 5/14 in -0.2, 3/5, 20? 3/5 What is the nearest to -0.1 in -1, -3/5, -0.5? -0.5 What is the closest to -1 in -5, 2/7, 0.203, 4? 0.203 Which is the nearest to 5? (a) 0.4 (b) 5/3 (c) -5 b What is the closest to 4.6 in -4, 4, 2? 4 Which is the nearest to -1/2? (a) 0.5 (b) -2.2 (c) -1/6 (d) 2 c Which is the nearest to -1? (a) 2 (b) -233 (c) -2 c Which is the closest to -7? (a) 0.3 (b) -0.7 (c) -1 c What is the closest to -2/7 in 1, -1, 0.1, -0.08? -0.08 Which is the nearest to 8? (a) 0.01 (b) 4 (c) -1/2 (d) 2/3 b What is the nearest to -0.2 in -1/5, -3, -2/7? -1/5 Which is the closest to 16? (a) -0.15 (b) -5 (c) 0.3 c Which is the closest to 5? (a) 3 (b) -2/5 (c) -5 a Which is the closest to -1? (a) -2/9 (b) -4/13 (c) 2 (d) -56 b What is the nearest to 1/8 in -0.5, 2/9, 0.1, -1/3? 0.1 Which is the closest to 2? (a) 2/5 (b) 2/9 (c) -46 (d) 3 d Which is the closest to 1/2? (a) 3/98 (b) -2/3 (c) -1/5 a What is the nearest to -2/7 in 1/24, 0.15, 7/4? 1/24 Which is the closest to 1? (a) 0.3 (b) -1/9 (c) -1/12 (d) 4/3 d What is the nearest to 0.2 in 0.086, -1, 0.5? 0.086 What is the closest to 0.04 in -3, -0.2, 0.5? -0.2 What is the closest to -1 in 1/8, -0.2, 0.08, 1/12? -0.2 Which is the nearest to -0.2? (a) -1111 (b) 2/9 (c) 1 (d) -3/5 d Which is the nearest to 2? (a) 1 (b) -1/619 (c) -7 a Which is the nearest to 1? (a) -1 (b) 43 (c) 0 (d) -0.1 c What is the nearest to 2/7 in -1, 1, 5/4, 4? 1 Which is the closest to -1/2? (a) -1/4 (b) 0.3 (c) -1 (d) 47/17 a Which is the nearest to 0.2? (a) -10 (b) 1/5 (c) -5 (d) 0.05 b Which is the closest to -5? (a) -1 (b) -5/7 (c) 4 a Which is the nearest to 2? (a) 3 (b) -6 (c) -1 a Which is the closest to -3/26? (a) 2 (b) 0 (c) -5 (d) -0.3 b Which is the closest to 0.24? (a) 1/4 (b) -5 (c) -0.38 a Which is the closest to -5? (a) 3/2 (b) 1.1 (c) -0.11 c Which is the nearest to 1? (a) -89/2 (b) 0.5 (c) -2/7 b Which is the closest to 1? (a) -1/1167 (b) -0.4 (c) -1/7 a What is the nearest to 6 in 0.9, 2/7, 1/3, 4? 4 Which is the closest to -0.5? (a) 3/2 (b) 0.3 (c) 1 (d) 2.1 b What is the nearest to 1 in 3, -1/8, -18? -1/8 Which is the closest to -8/7? (a) 4 (b) -3/2 (c) -0.01 b Which is the closest to -1? (a) -2/5 (b) 4/5 (c) 0.1 (d) -3/2 d What is the nearest to 1/3 in -1/11, -0.4, -1, -0.1? -1/11 Which is the closest to -2/9? (a) -79 (b) 0.2 (c) 2 (d) -0.9 b Which is the closest to 0.2? (a) 3 (b) 0.5 (c) -41 (d) -1 b Which is the nearest to 4? (a) 0.1 (b) -3 (c) -2/9 a Which is the closest to -9? (a) 2/3 (b) -0.02 (c) -0.4 (d) 0.1 c Which is the closest to 21? (a) -5 (b) -3 (c) -2 c Which is the nearest to -2? (a) -4/7 (b) -2 (c) -0.8 b Which is the closest to -0.1? (a) 0.02 (b) -2/3 (c) -11 (d) 0.4 a What is the nearest to 1 in 2, -6, 0.2? 0.2 Which is the closest to 0.053? (a) 1 (b) -2/7 (c) 0.4 (d) 5 b What is the nearest to -7 in -1/3, 30, 1? -1/3 What is the nearest to 0 in 1, -163, -0.14? -0.14 What is the nearest to -0.1 in 1, -1/9, -3, -1/4? -1/9 Which is the nearest to -2/5? (a) 3/2 (b) -2/157 (c) -1/6 c What is the nearest to -11 in 1, 2, 3, 0.5? 0.5 Which is the closest to -0.3? (a) 0.3 (b) 3 (c) -44 (d) 2 a Which is the closest to 2/7? (a) 3 (b) 1 (c) 15 (d) -0.2 d What is the closest to 0.6 in 0.15, 4/3, -21? 0.15 What is the closest to 1 in -2, 2/7, -178, 1.3? 1.3 Which is the nearest to 0.1? (a) 1 (b) 0 (c) 46 (d) -0.5 b Which is the closest to -373? (a) -1 (b) 0.4 (c) -6/7 a What is the closest to 0.1 in -9, 5, -1/4, -2/9? -2/9 What is the nearest to -2/7 in 2, -5/6, -5? -5/6 Which is the nearest to -1? (a) -5 (b) 0.038 (c) 0.2 (d) 4 b Which is the closest to 2/3? (a) 2/3 (b) 0.4 (c) -3/7 a Which is the nearest to 2/15? (a) -180/11 (b) -0.2 (c) 5 b What is the nearest to 1/3 in -3/8, 0, 2/7, -0.1? 2/7 What is the closest to -1 in -3, 0.06, 0.3? 0.06 What is the nearest to 0.2 in -42, -0.2, -1/4, -0.04? -0.04 Which is the closest to -0.1? (a) 0 (b) 2 (c) -0.4 (d) -7 a Which is the nearest to 2? (a) -1 (b) 8 (c) -0.3 c Which is the closest to -4? (a) -4 (b) 0.4 (c) 1/4 a Which is the closest to 0? (a) 1 (b) -3 (c) -42 (d) -2 a Which is the closest to 1/4? (a) 14 (b) -6 (c) 4 c Which is the closest to -8? (a) 0.5 (b) 66 (c) 4/3 a Which is the nearest to 0.1? (a) 4 (b) 0.4 (c) 3 (d) 0.015 d What is the nearest to 1 in 2/13, 4/3, -4? 4/3 Which is the closest to -13? (a) -4 (b) 4/9 (c) 5 (d) 2 a Which is the closest to 1? (a) 2/5 (b) 0.5 (c) 352 b What is the nearest to -1 in 0.2, 0.07, -4, 3? 0.07 What is the closest to -0.1 in 0.1, -18, 0? 0 What is the nearest to 2 in -0.2, -0.4, 13, 3? 3 Which is the closest to -0.07? (a) -1/9 (b) -1/11 (c) -5 (d) -320 b Which is the closest to 2? (a) -1 (b) -65/12 (c) 1 (d) -4 c What is the nearest to 5 in -2/5, 4/3, 5, 0.4? 5 What is the nearest to 2/5 in 1, 2, 0.3? 0.3 What is the closest to 1 in -2/19, 8, -0.5, 558? -2/19 What is the closest to -1 in 5, 3.2, 1/50, -1? -1 Which is the closest to 2? (a) -2/9 (b) 0.089 (c) -3/2 b Which is the closest to -1/2? (a) 4/5 (b) -3 (c) -0.09 (d) -2/9 d Which is the nearest to 11/7? (a) 1 (b) 0 (c) -5 a Which is the nearest to -1/3? (a) -3 (b) -2 (c) -1 (d) -0.11 d What is the closest to 2 in 4, 1, 5, 17? 1 What is the closest to 0.7 in -4, -5, 0? 0 What is the closest to -1 in 3, -0.122, 0.3? -0.122 Which is the closest to 1? (a) 4.6 (b) -17/2 (c) -5 a Which is the nearest to -0.7? (a) 5/4 (b) 1/4 (c) -1 c Which is the nearest to -52? (a) -3/5 (b) 3 (c) -3 (d) -4 d Which is the closest to -1? (a) 0.2 (b) -14 (c) 1/3 (d) 2/9 a Which is the closest to -2/5? (a) 2/7 (b) 5 (c) -0.5 (d) -2/5 d Which is the nearest to -2/7? (a) 0.02 (b) -3/7 (c) 5 (d) -1/3 d Which is the nearest to -6? (a) 3/5 (b) 28 (c) 2 a What is the nearest to -1 in -1, 1/3, -3/4? -1 What is the nearest to -2/3 in 4/7, -2/11, -6, 0? -2/11 What is the closest to 0.1 in -77, -2, 3, 2? 2 What is the closest to -0.1 in -0.039, 0, 1? -0.039 What is the nearest to 1 in 0.22, -5/4, -2, 20? 0.22 What is the nearest to 1/3 in -2/19, -0.1, -5, -1/2? -0.1 Which is the nearest to -1? (a) -5 (b) -1/10
{ "pile_set_name": "DM Mathematics" }
= -w - 1. Let k be x(-6). Solve -26 = 2*i + k*o - 9, -9 = 3*o for i. -1 Let m be ((-3)/2)/((-30)/100). Solve -2*j = -j - 5, 4*j - 15 = -m*l for l. -1 Let l be 9/2 - (-3)/2. Suppose -o + l*o = 0. Suppose o = b + b. Solve -9 = 4*v - h - 1, b = -5*v + 5*h - 25 for v. -1 Let y be 304/10 + 12/(-5) + 2. Let g(w) = 2*w**2 - 3*w + 2. Let p be g(2). Solve 6*k + p*x - y = k, 3*x = 15 for k. 2 Let h be 0/(-2*1/2). Let f(y) = -2 - 5*y + 2. Let k be f(-1). Solve k*o + h*o - 6 = -b, -b + 4*o = 12 for b. -4 Let d be (-9)/3 - (-28)/4. Solve -3*y = 2*z - d, 1 = -3*z - y - 0 for z. -1 Let w(b) = b**2 - 7*b + 4. Let z be w(5). Let t = 8 + z. Suppose -t*u = -4*u + 4. Solve g = d - 0*g + u, -3*g + 4 = -d for d. -1 Let x = -1 - -4. Let a = 0 + x. Let r be (2/(-2))/a*-6. Solve r*i - 2*l + 5 = i, -30 = -4*i - 2*l for i. 5 Let z be (0*4/8)/(-1). Let f be ((-42)/(-4))/((-2)/(-4)). Solve s + 8 = -4*c + f, c + 4*s - 22 = z for c. 2 Let w(y) be the second derivative of -y**3/3 - 4*y**2 - 2*y. Let g be w(-6). Solve -2*i = 4, 2*c + 2*i - g = -16 for c. -4 Let u = -6 + 2. Let y be (5/2)/((-2)/u). Let g = -2 + y. Solve g*f = -3*l - l - 31, -5*f + 3*l = 13 for f. -5 Let y = 1 + 4. Solve 3*a - 8*a = 5*n + 20, 3*n = -y*a - 18 for n. -1 Suppose 6 = -5*m + 21, 0 = 3*x + 3*m - 9. Solve 0*b + 15 = 3*b, x = -3*w + b - 11 for w. -2 Let a(t) be the second derivative of -t**3/6 + t**2 + 3*t. Let i be a(0). Solve -3*c + 9 = -4*n, 5 = i*c - 3*n - 2 for c. -1 Suppose s = 5*v - 105, 6*v = 3*v - 4*s + 63. Suppose q = -3*c - 2*q + v, 5*c - 25 = -3*q. Solve 3*h - c*i - 16 = 0, 3*h - 5*i - 8 = 14 for h. 4 Let j be 1/((-2)/20*-2). Suppose -2*c = -j*c. Solve c = 2*g + 4*r - 8, 5*r = 3*g + 13 - 3 for g. 0 Let b(n) = 3*n + 31. Let h be b(-6). Solve 2*x - r - 5 = 0, -x + h = -r + 4*r for x. 4 Let t(q) = q**3 + 5*q**2 - 2*q - 9. Let m be t(-5). Solve -3 = 2*p + m, 2*w + 5*p + 6 = 0 for w. 2 Let r be (1 + (-4)/3)*3. Let x be (r - (-3)/3)/1. Suppose 0 = 3*v - x*v - 84. Solve h + 4 = -3*h + 3*l, 3*l = -4*h - v for h. -4 Let d = 11 + -9. Solve -d*y + 2 = -2*l, -3*l = 2*y - 2*l - 2 for y. 1 Let l = -15 - -17. Solve 4*g = -4*r + 16, 2*g + 4 = -l*g for r. 5 Suppose 0 = -6*g + 13 - 1. Solve n + 5 = -4*j, -j + 3*n - g = 4*n for j. -1 Let s be ((-3)/(-6))/((-2)/(-24)). Solve 8 = -2*k + s*k, 5*k = y + 5 for y. 5 Suppose -2*y + 0*k + 21 = -3*k, -4*k - 22 = -2*y. Let w(r) = -r**3 - 5*r**2 + 5. Let n be w(-5). Solve -n = -s - 3*g + 1, -2*g = -s - y for s. -3 Let h = 75 - 71. Solve 3*y + h = x, -y - 3*y + 2*x - 6 = 0 for y. -1 Let w(i) be the third derivative of -i**4/24 - 5*i**3/6 + 9*i**2. Let q be w(-8). Solve -q*m + 5*m - 3*l - 10 = 0, -15 = -3*m + 5*l for m. 5 Let a = 0 - -4. Suppose 3*p - 2*m - 7 = -2*p, -5*p = 4*m - 1. Let i = a - p. Solve 5 = -5*s + d, -4 = 3*s - i*d - 1 for s. -1 Suppose 3*i + 2*u + 74 = 0, 4*i - u + 3*u + 96 = 0. Let b = i - -34. Let s be 8*(0 + -3 + (-14)/(-4)). Solve -o = -2*x - x - b, s*o - 2*x = 18 for o. 3 Let h(c) = 7*c**3 + c**2 - 1. Let b be h(1). Let l be 25/(-10)*8/(-10). Let w = 5 - l. Solve a = -w*t - b, -a = -5*t - 6*a - 5 for t. -3 Suppose -31*n - 6 = -34*n. Suppose 0 = -0*x - 2*x + 2*j + 4, 0 = x + 4*j - 17. Solve -i = x*w - n*i - 24, 5*w = -4*i + 4 for w. 4 Suppose -3*i - 8 = -5*i. Let h be ((-30)/(-4) + -7)*(-1 + 39). Solve -i*j + 2 = -5*g, g - 3*g + h = 5*j for g. 2 Let c be (-2 + 10/(-2))*-3. Let b = c + -14. Let d = -4 + b. Solve -2*a + a - d*t + 10 = 0, a + 22 = 5*t for a. -2 Let f = 3 + 0. Suppose c + n = 0, f*n + 8 = 2*c + n. Solve -5*a + 11 = 3*d, 3*d - 5*a + c*a = -21 for d. -3 Suppose 5*o + 7 + 3 = 5*x, 3*o + x - 2 = 0. Solve o*z - 5*f = -3*z - 5, z - 5*f = -5 for z. 0 Suppose -2*z + 10 = 0, 4*z = c + 14 + 4. Solve c*p + 2*q + 3*q = -7, 20 = 2*p - 4*q for p. 4 Let y = 14 + -11. Solve 0 = -d - y*p + 9, d - 2*p + 19 = 2*p for d. -3 Suppose -4*v + 12 = 2*z, -z = -3*z + 4*v - 4. Suppose -6 = -z*w - 0. Solve 12 = w*x - 2*m, 2*x = x - 3*m + 4 for x. 4 Let q(k) = k - 10. Let a be q(11). Solve -3*g = -m + 4*m + 12, -g = a for m. -3 Let r(y) = -y**3 - 4*y**2 + 3*y - 7. Suppose -2*a + 4 = 14. Let i be r(a). Solve -20 = 5*x + 2*u, 0 = -i*x + u - 4 - 8 for x. -4 Let k(s) = -s**3 + 7*s**2 - s + 8. Let m be k(7). Solve 9 = -2*c + 2*q + m, -2*c + 5*q = 8 for c. -4 Let l = 9 - 1. Suppose v = 2*z - 3 - 1, 4*v - l = 2*z. Solve -v*a = -3*u + a + 26, 0 = u + 5*a + 18 for u. 2 Suppose -z + 6*z - 104 = -3*w, -69 = -3*z - 4*w. Let d = -31 + z. Let t be ((-2)/3)/(4/d). Solve 2*v - 10 - 8 = -2*p, 0 = -t*p + v + 3 for p. 4 Suppose -p - i + 0*i = -10, -5*i = -25. Solve p*y + d + 19 = 2*y, 0 = 3*d + 12 for y. -5 Suppose 0 = 4*n + z - 15, -5*n + z + 23 = -2*z. Let w = -2 + 3. Let v be 4 + -2*w + -2. Solve 2*i + n*s + 8 = v, s = i - 2*i - 3 for i. -2 Suppose 0 = -2*r + f + 5, -3*f = 3*r - 2*f - 15. Solve r*o - 4*m = -5*m + 1, -3*m + 18 = -3*o for o. -1 Let h = -27 + 45. Let m be ((-6)/8)/(2 + 75/(-40)). Let a = m + h. Solve 0 = 3*b + a, -7 = 3*v - 3*b + 4*b for v. -1 Let a(v) = v**2 - 3. Let r be a(2). Solve o + 16 + r = 5*t, 0 = 3*o + 6 for t. 3 Suppose 5*y = 3*y + 2, p - 5*y + 2 = 0. Suppose 5*a + 33 = 2*v, 5*v + 5*a = -2 - p. Solve -x - 3*o = 4*x - 1, -4*o - 4 = v*x for x. 2 Suppose 5*r = 4*b - 9*b + 95, -2*r + 13 = -3*b. Solve -4*y + 29 = 5*n - 2*n, -3*n + r = y for n. 3 Suppose -12 = -3*o, -5*o = -3*r + 44 + 2. Solve -l - 4*a - r = a, -4*l - 3*a - 20 = 0 for l. -2 Let t(y) = y**3 - 7*y**2. Let c be t(7). Suppose 3*a = -c*a. Solve 3*w - 4*h + 2 + 29 = a, 5 = -5*w - 5*h for w. -5 Suppose 3 = 2*c - 3. Suppose c*f - 3 - 6 = 0. Solve -13 = -q + 5*q - f*w, q - 14 = -5*w for q. -1 Let m(k) = 4*k**2 - 4*k - 3. Let s be m(-2). Suppose 3*n + 5*r = 4*n - 18, 3*r + s = 4*n. Solve -2*w + d + 6 = 0, 4*w + 3 - 13 = n*d for w. 4 Let k be 2 - ((-1 - -3) + 4). Let i be (58/k)/((-1)/2). Solve 9*h - 4*h - i = -3*n, -2*h = -8 for n. 3 Let f(m) = 11*m + 2. Let u be f(3). Let g = -3 + u. Solve -4*l - l = 5*i - 35, -4*i = 5*l - g for i. 3 Let z be (-6 + 0)/(1/(-4)). Let i be 15*(3 - z/9). Let l(f) = -f**3 - 7*f**2 - 8*f - 6. Let v be l(-6). Solve -h - v = -4*h, -3*a = i*h + 2 for a. -4 Suppose -1 - 4 = -a + 3*z, 5*z - 1 = -3*a. Suppose q - a - 1 = 0. Let x be 2 - ((-1)/1 - -1). Solve -5 = 3*y - w + x*w, 15 = -3*y - q*w for y. 0 Let d = -5 - -8. Let l(t) = t + 14. Let z be l(-14). Solve z = -d*o + 5*n + 8, 3*o - o = 2*n + 4 for o. 1 Let h be (1 + 5/(-2))*80/60. Let v(s) = s - 8. Let i be v(6). Let u be 10/(i - 5/h). Solve 4*z = 4*r, 10*r + u = 5*r - 5*z for r. -2 Let g be 5/(-2)*(-1 - 1). Solve 14 = 5*a - 2*i, -4*a + g = -i - 8 for a. 4 Suppose -55 + 20 = -5*q - 4*h, 0 = 3*q + h - 21. Solve 5*w - 4*a - q - 2 = 0, -4*w = 4*a for w. 1 Let q(y) = -y**3 - 9*y**2 + 9*y - 14. Let m be q(-10). Let k be -1 + (1 - m)/1. Solve -3*z - k = o, -2*o - 3*o = 5*z + 20 for o. -4 Suppose 5 = -3*h - 31. Let f = -20 + 3. Let p = h - f. Solve -2 = -g - p*o - 12, 5*g - 22 = -o for g. 5 Let d = 22 - 19. Suppose 0 = d*x - 18 + 3. Solve j + 2*v - 4 = 0, x*j + 0*j - 2*v = -16 for j. -2 Suppose -14 = -4*b + 2. Suppose -4*z + 2*z = -b. Let l(h) = -2*h**2 - 18*h - 34. Let v be l(-5). Solve z*f + 2*i + 10 = 0, 2 = -4*f + v*f - 4*i for f. -3 Let k(u) = u**3 + 8*u**2 + u - 4. Let v be k(-8). Let h be (-2)/(-6) + (-8)/v. Let c be 4 - 4 - (-16 + h). Solve 5*g + 3*w - 3 = 0, w + c = 5*g - 4 for g. 3 Let l(a) = -11*a**3 - a + 1. Let t be l(1). Let h = 11 + t. Solve h = 5*b - 4*u + 45, 6*b - 5*u = b - 50 for b. -5 Let d(u) = 2*u**3 - 11*u**2 + 5*u + 3. Let q be d(5). Solve 2*w = 2*o + 3*w + 3, -24 = q*o - 5*w for o. -3 Suppose -6*g + g = p - 5, -4*g + 3*p = -23. Suppose -g*n + 3*n = 8. Solve n + 8 = 4*z + 4*f, 5*f = 4*z - 25 for z. 5 Let q be -4 + (-1)/2*-2. Let x be 17/(-3)*(-9)/q. Let p = -12 - x. Solve -2*v + 3*n + 3 = -v, p*n - 2 = 4*v for v. -3 Let m = -2 - -2. Let g be (0 - 0 - m) + 1. Let h(w) = 6*w - 1. Let f be h(g). Solve 2*o - f*u + 7 = 0, -3*o - u = -2*o for o. -1 Let l(h) = h**3 + 6*h**2 + 15. Let v be l(-6). Solve j = -3, 4*p + 5*j = p - v for p. 0 Suppose -6*r - 115 = -11*r. Solve 2*x + 10 = d + 2, r = -4*d - 3*x for d. -2 Let g(u) = 0*u + 1 - 2*u - 2*u**2 + 7*u**2. Let p be g(1). Solve -3*i = p*q - 24, -q - 3*i + 8 + 7 = 0 for q. 3 Suppose 0 = 5*h - 5*w - 20, -3*h - 4*w = -0*h + 2. Let k be 2 - (2 + -3)*h. Solve -4 = k*u + 3*c,
{ "pile_set_name": "DM Mathematics" }
19 + 5167*y. 25*y + 4 Collect the terms in 3863*v - 7721*v + 3866*v. 8*v Collect the terms in -220 - 838*w + 103 + 119. -838*w + 2 Collect the terms in 752*k**3 - 10 + 10 - 723*k**3. 29*k**3 Collect the terms in 23*y**3 - 31 + 5*y**3 - 12*y**3 + 30 + 24*y**3. 40*y**3 - 1 Collect the terms in -7*y**2 + 1215*y + 1222*y - 3656*y + 1219*y. -7*y**2 Collect the terms in -592*p**2 + 329*p**2 + 298*p**2. 35*p**2 Collect the terms in -2*j**3 - 2*j**3 - 3 + 199*j - 199*j - j**3. -5*j**3 - 3 Collect the terms in 11*v**3 - v - 38*v - 19*v**3 + 162*v + 10*v**3. 2*v**3 + 123*v Collect the terms in 18 - 365*q**3 + 4 - 9 - 13. -365*q**3 Collect the terms in -2*l**2 - l**2 + 12*l**2 + 2*l**2. 11*l**2 Collect the terms in -2*p**3 - 4*p**3 + 0*p**3 - 128*p**2 + 4*p**3. -2*p**3 - 128*p**2 Collect the terms in -9 - 1 + 3*f + 53 - 15. 3*f + 28 Collect the terms in -75044 + 150091 - s**3 - 75047. -s**3 Collect the terms in 0*r**2 - 615*r**3 + 1649*r**3 + 0*r**2. 1034*r**3 Collect the terms in -12*q**2 - 9*q**2 + 132*q + 4*q**2 + 3 + 30*q. -17*q**2 + 162*q + 3 Collect the terms in 1288*r**2 - 3*r**3 - 1288*r**2. -3*r**3 Collect the terms in 3*c**3 + 590905*c**2 - 590905*c**2 - 10*c**3. -7*c**3 Collect the terms in -2492*s**2 + 4922*s**2 - 195*s**2 + 7187*s**2. 9422*s**2 Collect the terms in 4 + 102*i**2 - 4 - 26*i**2 + 86*i**2. 162*i**2 Collect the terms in -13*w**2 - 16*w**2 - 49*w**2 + 65*w**2. -13*w**2 Collect the terms in -210*g**2 + 85*g**2 + 82*g**2 + 72*g**2. 29*g**2 Collect the terms in -1912*s**3 + 3*s - 132*s**3 - 3*s + 141*s**3. -1903*s**3 Collect the terms in q**3 + 5*q + 4*q - 7 + 11*q - 20*q. q**3 - 7 Collect the terms in -714*c + 1514*c - 774*c. 26*c Collect the terms in -626*f**2 + 289*f**2 + 298*f**2. -39*f**2 Collect the terms in -738*d + 372*d + 366*d + 7703*d**2. 7703*d**2 Collect the terms in -26324*k + 52667*k - 26343*k - 3*k**3. -3*k**3 Collect the terms in -40*f**2 + 17368 - 17368. -40*f**2 Collect the terms in -11*t**3 + 39*t**2 - 38*t**2 + 635 + 12*t**3. t**3 + t**2 + 635 Collect the terms in -4547*b**3 - 4543*b**3 + 13637*b**3 - 4544*b**3. 3*b**3 Collect the terms in 508*j**2 - 5*j + j + j + 119*j**2. 627*j**2 - 3*j Collect the terms in 77*w - 224*w + 73*w + 75*w. w Collect the terms in 293*u - 716*u - 5333*u - 1785*u. -7541*u Collect the terms in -10273 + 10273 - b - 8*b + 7*b. -2*b Collect the terms in -328*d + 328*d + 366*d**2 - 83*d**2. 283*d**2 Collect the terms in 151*q**2 + 408*q**2 + 177*q**2 - 40*q**2 - 52*q**2. 644*q**2 Collect the terms in -110367*h**2 - 110365*h**2 + 220735*h**2. 3*h**2 Collect the terms in 35*u - 21*u**3 - 19*u - 16*u + 20*u - 20*u. -21*u**3 Collect the terms in -2*z + 7*z + 2*z + z - 18*z + 6*z. -4*z Collect the terms in -7 - 1 + c - 12 - 4*c + 20. -3*c Collect the terms in -20 - 533*c + 10 - 528*c + 1059*c + 10. -2*c Collect the terms in z - 146 + 52 - 2*z - 109. -z - 203 Collect the terms in m**3 + 14 - 29 - 36 + 91 - 40. m**3 Collect the terms in -411*q**2 - 412*q**2 + 1223*q**2 - 423*q**2. -23*q**2 Collect the terms in -26 + 46*z**2 - 201*z**2 + 47*z**2 + 52*z**2 + 57*z**2. z**2 - 26 Collect the terms in 29*b + 34*b - 54*b. 9*b Collect the terms in 16*l**2 - 97*l**2 - 60*l**3 + 58*l**3. -2*l**3 - 81*l**2 Collect the terms in 212 - 4*j**3 - 18 - 194 + 2*j**3 - 4*j**3. -6*j**3 Collect the terms in -819510 + 0*n - 3*n + 819510. -3*n Collect the terms in 1993*s**2 + 1949*s**2 - 3942*s**2 + 4*s**3. 4*s**3 Collect the terms in -52*g - 1181 + 1107*g**2 - 1108*g**2 + 1181. -g**2 - 52*g Collect the terms in 4 - 5 + 13921*m + 1. 13921*m Collect the terms in -14*o + 9*o - 9*o + 7*o. -7*o Collect the terms in -7675*b - 7677*b - 7672*b - 7670*b + 30694*b - 3*b**2. -3*b**2 Collect the terms in -5*z**3 - 23 - 12 + 18 + 17 + 2*z**3. -3*z**3 Collect the terms in -8*m**2 + 12*m**2 - 42*m**2 - 31*m**2. -69*m**2 Collect the terms in -536 + 0*c - 7*c + 198 - 10*c. -17*c - 338 Collect the terms in -104*f**3 - 81*f**3 + 349*f**3 - 77*f**3 - 85*f**3. 2*f**3 Collect the terms in -o - o + 3*o + 13*o + 3*o - 20*o. -3*o Collect the terms in 6791*s - 13571*s + 6788*s. 8*s Collect the terms in 4*m**2 + 301*m**3 - 4*m**2 - 450*m**3 - 365*m**3. -514*m**3 Collect the terms in w**2 + 99 + 115 + 117 + 111 - 442. w**2 Collect the terms in -8 + 27 - 16 + 114*m**3 - 115*m**3 - 24. -m**3 - 21 Collect the terms in 5583 + 5593 - 16*d**2 - 11176. -16*d**2 Collect the terms in 0 + 0 - 2042*w + 241927*w. 239885*w Collect the terms in 249253512 - 249253512 + 5*h**3. 5*h**3 Collect the terms in -19*h + 43*h - 18 - 8*h - 11*h. 5*h - 18 Collect the terms in -8*b**3 - 18*b**3 - 28*b**3 - 3*b + 0*b. -54*b**3 - 3*b Collect the terms in 785*b - 262*b - 266*b - 257*b - 39*b**3. -39*b**3 Collect the terms in -1 + 1 + 8773*b + 10697*b. 19470*b Collect the terms in -2905*r**3 - 1 + 1 + 2910*r**3. 5*r**3 Collect the terms in -3436*b + 1693*b + 1746*b. 3*b Collect the terms in 1193*a**3 + 2392*a**3 + 779*a**3. 4364*a**3 Collect the terms in 5030*f**2 - 1677*f**2 - 1682*f**2 - 1674*f**2. -3*f**2 Collect the terms in 11228*o**3 - 52 + 52. 11228*o**3 Collect the terms in 33121*x**2 - 33131*x**2 - 292*x + 292*x. -10*x**2 Collect the terms in 16546 - k**3 - 3*k**3 - 33087 + 16541. -4*k**3 Collect the terms in -12693*v**2 + 5 - 6404*v**2 - 5. -19097*v**2 Collect the terms in 26*k + 19*k + 2*k + 36*k + 20*k - 107*k. -4*k Collect the terms in 69*o + 4*o**3 + 17*o**3 + 124*o - 5*o**3 - 193*o. 16*o**3 Collect the terms in -2206 + 4400 + 18*r**3 - 2194. 18*r**3 Collect the terms in 0 + 0 - 10*g**3 + 17*g**2 + 2*g - 6*g**3. -16*g**3 + 17*g**2 + 2*g Collect the terms in 148*p**2 - 11*p**2 - 13*p**2. 124*p**2 Collect the terms in -17*n - 10*n - 6*n + 41*n - 5*n. 3*n Collect the terms in -66 - 135 + 201 + 22*c. 22*c Collect the terms in -19*z**2 - 16*z**2 - 5632 + 5632 - 21*z**2. -56*z**2 Collect the terms in 80*r**2 + 394*r + 126 - 42*r**2 - 39*r**2 - 394*r. -r**2 + 126 Collect the terms in 23 - 10 + 2758*w**3 - 13. 2758*w**3 Collect the terms in -12*w - 78*w + 73*w. -17*w Collect the terms in 71*q**3 + 141*q - 885*q**3 - 273*q + 132*q. -814*q**3 Collect the terms in -6 - 675*k**2 - 106*k**2 + 7. -781*k**2 + 1 Collect the terms in -1023 - 907 + 209 - i. -i - 1721 Collect the terms in -157*v + 893*v + 285*v. 1021*v Collect the terms in -28*j**3 - 31*j**3 + 133*j**3 - 66*j**3 - 7*j**3. j**3 Collect the terms in -2*m + 3 + 5 - 4 + 3*m - 15*m. -14*m + 4 Collect the terms in -4 - 20 - 5*n - 4*n. -9*n - 24 Collect the terms in 152*t**3 - 260*t**3 + 109*t**3. t**3 Collect the terms in 891*l**2 - 420*l**2 - l + l - 434*l**2. 37*l**2 Collect the terms in 330 - 310*d**3 - 330 - 316*d**3 + 624*d**3. -2*d**3 Collect the terms in 2263*n**2 - 8876*n + 8876*n - 6546*n**2. -4283*n**2 Collect the terms in 68 - 2582*a**2 - 68 + 2859*a**2. 277*a**2 Collect the terms in -8*z - 5 + 66*z - 25*z - 14*z - 1. 19*z - 6 Collect the terms in -12*n + 134395714 - 134395714. -12*n Collect the terms in -p**3 - 3*p**3 - 26*p**2 - 7*p**2 + 31*p**2. -4*p**3 - 2*p**2 Collect the terms in -41 - 4*l + 49 - 43. -4*l - 35 Collect the terms in l**2 + 41*l**3 + 0*l - 7*l - 211*l**3. -170*l**3 + l**2 - 7*l Collect the terms in -173893 - 173902 + 5*u**3 + 347795. 5*u**3 Collect the terms in -8448*u**3 - 8463*u**3 + 16904*u**3. -7*u**3 Collect the terms in 0*z**3 + 8648*z**2 + z**3 + 8524*z**2 + 8648*z**2 - 25820*z**2. z**3 Collect the terms in 45*d - 2*d**2 - 2*d - 97 - 5*d - d**2. -3*d**2 + 38*d - 97 Collect the terms in 0*v**3 + 2604*v + 3*v**3 + 153*v**2 - 2602*v. 3*v**3 + 153*v**2 + 2*v Collect the terms in 29 - 10*t - 60 + t + 25. -9*t - 6 Collect the terms in 159932*c + 6*c**3 - 159932*c + 11*c**3. 17*c**3 Collect the terms in 0*h**3 - h**3 + 278447*h**2 - 278447*h**2 + h**3 + 4*h**3. 4*h**3 Collect the terms in -108*f**2 + 180*f**2 - 78*f**2. -6*f**2 Collect the terms in -6*y - 45547*y**2 + 45541*y**2 + y. -6*y**2 - 5*y Collect the terms in -11*n + 6*n - 7 - 2*n. -7*n - 7 Collect the terms in -18880*g**2 + 9444*g**2 + 9435*g**2. -g**2 Collect the terms in 25 - 25 - 83*z**2. -83*z**2 Collect the terms in 306*k**3 + 8 + 145*k**3 - 578*k**3 - 8. -127*k**3 Collect the terms in 13*v**2 - 22667268*v + 22667268*v. 13*v**2 Collect the terms in c + 12 + 81*c**3 - 12 + 116*c**3. 197*c**3 + c Collect the terms in -31*x
{ "pile_set_name": "DM Mathematics" }
)/(-42))/(2/51000). What is p rounded to the nearest one million? 2000000 Suppose -2*x - 9 = -3*x. Let r = x + -6. Suppose -r*t + 4*s = -209992, -2 = -s - 0*s. Round t to the nearest one hundred thousand. 100000 Let a = -6 + 8. Suppose 2*x = 3*l + 3 - 11, 3*x - 1 = -a*l. Suppose l*p + 659980 = -v - 3*v, -989995 = 3*p + v. What is p rounded to the nearest 100000? -300000 Suppose 0*t = -2*t. Suppose t = 13*c + c - 280000. Round c to the nearest 100000. 0 Let b = -0.3589997486 - -0.359. What is b rounded to 7 decimal places? 0.0000003 Let t be (-4)/9 - (-1682932)/(-153). Round t to the nearest one hundred thousand. 0 Let y = 84640.9998 + -84629. Let x = -1.4 + 13.4. Let q = y - x. Round q to three decimal places. 0 Let k = -5513.732 + 5778.8. Let x = k - 264. Let d = x + -1.1. What is d rounded to 2 decimal places? -0.03 Let s = 44886 - -135114. What is s rounded to the nearest 1000000? 0 Let l = 412.00002397 + -412. Round l to 6 dps. 0.000024 Let x = -0.446 + 182.446. Let o = x - 108. Let h = o - 74.53. Round h to 1 decimal place. -0.5 Let k = 0.096 + 61.904. Let w = 113 - k. Let b = -51.049 + w. Round b to 2 dps. -0.05 Let d be 26/(-4)*-2 - 3. Let h = d - 7. Let p be 25*(-1128)/(h - 0). Round p to the nearest 1000. -9000 Let l(o) = -o + 18. Let h be l(14). Let k be 1/h - (-106419)/(-76). What is k rounded to the nearest one hundred? -1400 Let g = 69 + -979. Let u be 7*(-10)/(-35)*g. What is u rounded to the nearest 100? -1800 Let x = 6.95 - 7. Let n = -1.17 - -1.1. Let s = n - x. Round s to two decimal places. -0.02 Let m = -6.760000618 + 6.76. Round m to seven decimal places. -0.0000006 Let k = -8.115045398 - 42.884955392. Let o = 51 + k. Round o to seven dps. -0.0000008 Let z = 158.6 - 156. Let v = 2.449 - z. Round v to 2 decimal places. -0.15 Let b = 70754 + -29354. What is b rounded to the nearest 1000? 41000 Let f = -110.11 + 1.11. Let j = -110.46 - f. Round j to 1 decimal place. -1.5 Let l(j) = j**2 - 13*j + 6. Suppose -5*v + 39 + 21 = 0. Let a be l(v). Let m be 1 + 32174*69/a. What is m rounded to the nearest 100000? -400000 Let n = 14579 + -14578.39998. Let b = 2.4 - 3. Let d = b + n. Round d to 4 dps. 0 Let l = 114 + -36. Let b = -77.8276 + l. Let d = b - 0.17. What is d rounded to 3 dps? 0.002 Let s = -6172 + 6178.882. Let j = s - 0.082. Let v = -8.14 + j. Round v to 1 dp. -1.3 Let r = 23.8 + 52.7. What is r rounded to zero decimal places? 77 Let d = 16034 - 16035.3998. Let h = -1.38 - d. What is h rounded to three decimal places? 0.02 Suppose 5 = 3*c + 4*n, 2*c + 4*n + 1 = 3. Let t be 2 + 10/(-2) + c. Suppose -2*s + 6*s + 3400 = t. What is s rounded to the nearest one hundred? -900 Let l = -4.17 - -4.05. Round l to 2 dps. -0.12 Let n(q) be the third derivative of -4859999*q**4/24 + 5*q**3/6 + 15*q**2. Let s = 8 + -13. Let t be n(s). Round t to the nearest one million. 24000000 Let v(h) = h**2 + 12*h + 12. Let z(a) = a**2 + 11*a + 11. Let b(d) = 3*v(d) - 4*z(d). Let n be b(-8). Let p be 99 - 5*n/(-20). Round p to the nearest ten. 100 Let b = 0.63 - 20.63. Let d = 19.999 + b. Round d to two dps. 0 Suppose -99 - 61 = -16*t. Suppose -t*c = -6*c - 1760000. Round c to the nearest 1000000. 0 Let f = 7.5 + 76.5. Let r = -0.5035 - -83.6835. Let o = r - f. Round o to one decimal place. -0.8 Let t = 836 + -966.2. Let n = -116 - t. Let m = 0.7 - n. Round m to the nearest integer. -14 Let r = -6.55 + 6.554433. What is r rounded to 3 dps? 0.004 Let z = -1091.987552 - -1092. What is z rounded to three decimal places? 0.012 Suppose -1914000 = 2*w - 4*v, -w + 208508 - 1165508 = -v. What is w rounded to the nearest 100000? -1000000 Let f = 470 - 467.89. Let p = 0.11 - f. Let l = 1.976 + p. Round l to 2 dps. -0.02 Let r = 0.0434 + -0.043683. What is r rounded to five dps? -0.00028 Let f = -452.999743 - -453. What is f rounded to four decimal places? 0.0003 Let m = 268.1404 + 0.1596. What is m rounded to the nearest ten? 270 Let k = 0.06 + 0.49. Let s = -3.82 - -3.04. Let f = s + k. What is f rounded to 2 decimal places? -0.23 Suppose 0 = -3*n - r + 23 + 12, 36 = 4*n - 4*r. Let y(h) = -h**3 + 12*h**2 - 11*h. Let a be y(n). Round a to the nearest one hundred. 0 Let v = 0.09 + -31.09. Let t = v + 31.071. Round t to two decimal places. 0.07 Let u(b) = 83*b**3 + 6*b**2 - 3*b - 6. Let j be ((-15)/(-10))/((-3)/18). Let g be u(j). Round g to the nearest one hundred thousand. -100000 Let t = 11168.0006519 - 11168. What is t rounded to 5 dps? 0.00065 Let q = 876287 - 875244.851. Let p = -1041 + q. Let t = p - 1.07. Round t to 2 dps. 0.08 Let z = -0.7999672 + 0.8. Round z to 5 dps. 0.00003 Let z = -4.06 - -3.7996. Let b = z + 0.25. What is b rounded to three decimal places? -0.01 Let p = 27.99944 + -28. What is p rounded to four dps? -0.0006 Let h = 4281.2 - 4659. Let k = h - -459. Let d = k + -91. Round d to the nearest integer. -10 Let d = 66 - 66.00289. Round d to 4 dps. -0.0029 Let w = -26 + 29. Let m be (-4)/(1 - w) - -149998. What is m rounded to the nearest one hundred thousand? 200000 Suppose -4*l - 3*l = 56. Let d be -4106 - (0 + l + 4). Let u = 902 + d. Round u to the nearest 100. -3200 Let b = -55 - -33. Let l = b - -21.99974. Round l to five dps. -0.00026 Suppose 0 = -258*b + 252*b + 297660. What is b rounded to the nearest ten thousand? 50000 Let a = -65.198 - 41.701. Let m = a - -107.5. Round m to 1 dp. 0.6 Let d = 6.86 - 6.860005032. What is d rounded to six dps? -0.000005 Let g = -8.748 - -9.93. Let o = g - 1.2. Let x = 0.017977 + o. What is x rounded to five decimal places? -0.00002 Let l = 980 - 1120.2. Let w = l - -161. Let n = w + -24. What is n rounded to 0 decimal places? -3 Let l = 0.47101139 - 0.471. Round l to 7 decimal places. 0.0000114 Let a = -989.3 + 991.30212. Let u = -1.832 + a. Let f = u - 0.17. Round f to 4 decimal places. 0.0001 Let y = 49.4 + -4.4. Let k = y + -45.0135. What is k rounded to 3 dps? -0.014 Let q(g) = 10 - 2*g + 3*g + g - 3*g + 900*g**2. Let z be q(10). Round z to the nearest one hundred thousand. 100000 Let n(r) be the second derivative of -340007*r**3/6 - 21*r**2/2 - 52*r. Let x be n(-3). What is x rounded to the nearest one hundred thousand? 1000000 Let s be (1*15)/(30/8000). Let v be (s/(-15))/(2*2/3600). What is v rounded to the nearest 10000? -240000 Let z = 806.5125 - 0.1125. Round z to the nearest ten. 810 Let g(l) = -l**2 - 3*l - 23800000. Let t be g(0). Round t to the nearest 1000000. -24000000 Let x = -1.13691 + 549.36591. Let j = x + -548. Round j to 2 decimal places. 0.23 Let g = 372 + -240. Let j = g - 83. Let m = j - 49.00000023. What is m rounded to 7 decimal places? -0.0000002 Let f = 0.58 + -0.580565. What is f rounded to 4 dps? -0.0006 Let j(f) be the first derivative of -3916*f**2 + 8*f - 1. Let h be j(-6). Round h to the nearest 10000. 50000 Let v = 0.0788 + 123.1212. Let t = -102 + v. Round t to the nearest integer. 21 Let g = 899 - 577. Let d = -318.66 + g. Round d to 1 dp. 3.3 Let x = 1769759924.430000127 + -1769760026.43. Let o = -102 - x. Round o to seven decimal places. -0.0000001 Let a = 795.59 - 799. Let w = -4.1 - a. Let j = w - -0.689913. Round j to 5 dps. -0.00009 Let p be (3 + (3 - 152))*-50. Suppose 3*t = -3 + 24. Suppose t*w - p = 8*w. Round w to the nearest 1000. -7000 Let o = -376 - -376.187. Round o to two decimal places. 0.19 Let v = -1.32 + 1.3209088. What is v rounded to four decimal places? 0.0009 Let q(r) = 34159*r + 18. Let k be q(-2). What is k rounded to the nearest ten thousand? -70000 Let o(j) = -4298*j + 2. Let w be o(-1). Let s be 165/(-11)*w*-40. What is s rounded to the nearest 100000? 2600000 Let a = 3299 - 3327.26. Let r = -28 - a. Let m = r - 0.48. Round m to one dp. -0.2 Let i = 0.016 + -59.016. Let m = 7785565116 + -7785565056.99999959. Let l = i + m. Round l to seven decimal places. 0.0000004 Let z be (-4)/32 + 30/(-16). Let d be 3802 - (z - 20/(-5)). Round d to the nearest one thousand. 4000 Let j = 41 - 84. Let g = -49605735 - -49605777.999961. Let w = g + j. What is w rounded to five dps? -0.00004 Suppose 5*g + 2139 = 14189. Round g to the nearest 1000. 2000 Let k = 36 + -34. Suppose -181990 = 3*u - k*u + 2*p, -4*u - 2*p - 727990 = 0. Round u to the nearest 10000. -180000 Let u = 28 + -31.2. Let z = u - -3.19999922. What is z rounded to 7 decimal pla
{ "pile_set_name": "DM Mathematics" }
uppose -10*f - 18 = -4*f. Let n be (-6)/15 + 14/10. Let k = 0 - n. Sort f, k, 0. f, k, 0 Let o be 2/8 - 39/12. Suppose 2*d - 43 = -3*v, 3*d - 2*d = -5*v + 74. Let i(a) = a - 17. Let w be i(v). Sort w, 1, o in increasing order. o, w, 1 Let r = 2 + -1.8. Let c = 1739.98 - 1740. Put r, c, -1 in decreasing order. r, c, -1 Let u(f) = f**3 - 5*f**2 - 4*f - 8. Let q be u(6). Suppose -8 = -t - 5. Let r(x) = -x**3 + 6*x**2 + 6*x + 3. Let i be r(7). Sort i, t, q in descending order. q, t, i Suppose -4*q - 21 = 35. Let b = 13 + q. Let p = 1 - 7. Sort 3, p, b. p, b, 3 Let x be 5 - 4 - (-21 - -2). Suppose -21*s = -x*s + 6. Let o be 4/(-10) + 8/20. Sort o, 2, s in decreasing order. 2, o, s Let a = -0.0984 - 16.6816. Let p = a - 0.22. Let w = p - -16.3. Put 4/5, w, -0.3 in decreasing order. 4/5, -0.3, w Let f = 18 - 32. Let n = 16 + f. Suppose 2*a - 3*o - 3 = 0, -5*o = -6*a + a. Sort 3, n, a. a, n, 3 Let v = -6 + 20. Suppose -4*o + 4*q - 2*q - 36 = 0, 2*q = -4. Let w = v + o. Sort 0, 1, w in descending order. w, 1, 0 Suppose 316*i - 315*i - 5*w = -3, -9*w + 9 = -3*i. Let y = 5 + -2. Put y, 1, i, 2 in decreasing order. y, 2, 1, i Let g = 3023/6 - 504. Let w = 0.27 + -0.77. Sort 2/21, g, w in descending order. 2/21, g, w Suppose -9 = u + t, -2*u - 3 = -u + 4*t. Let y(s) = s**2 + 12*s + 7. Let w be y(u). Put -1, w, 4 in descending order. 4, -1, w Let j = 6.88 - 101.68. Let t = j + 95. Let u = 0.1 + 0.9. Sort -3, t, u in descending order. u, t, -3 Let n = 191 + -190.7. Put 5, 2, n, -2/11 in descending order. 5, 2, n, -2/11 Suppose 9 = 3*t - 3*i, 5*t - 6*t + 5 = -2*i. Let q = -10 + 6. Sort -3, t, q in descending order. t, -3, q Let s = -7045 + 119763/17. Suppose 0*q - 3 = -q. Put s, -2/13, q in ascending order. -2/13, s, q Let i = 30 - 64. Let u = 29 + i. Let t be ((-6)/15)/(1/u). Sort 1, 4, t in descending order. 4, t, 1 Let c = 1 + -2. Suppose q - 1 = 2*q + 5*j, -4*j + 8 = 3*q. Suppose 2*u + 3*u = -30. Put q, u, c in ascending order. u, c, q Let s = -1010 - -1014. Let j be 1/3 + (-8)/(-3). Put 0, -6, j, s in decreasing order. s, j, 0, -6 Let z be 5/(4/(7 - 3)). Let g = 40.2 + -40. Sort g, 3, z in increasing order. g, 3, z Let z = 17523 + -17521. Let t = 1 + -1.1. Put z, t, 14 in increasing order. t, z, 14 Suppose -4*b = -3*b - 8. Let q = -210 - -211. Put q, 3, b, -1 in descending order. b, 3, q, -1 Let a(o) = 17*o**2 + o**3 - o**3 - o**3 + 18 - 24*o**2 + 3*o. Let m be a(-7). Sort -28, m, -5 in decreasing order. m, -5, -28 Let w = -51 + 53. Let b = -7.5 + 8. Put -5, b, w in decreasing order. w, b, -5 Let d be ((-750)/(-27) - 3) + (-6)/(-27). Sort d, 4, -4, 5 in descending order. d, 5, 4, -4 Suppose 0 = -7*x + 2*x - 5. Let y = -1 + x. Let t be ((-40)/(-30))/(y/3). Sort 5, 2, t in ascending order. t, 2, 5 Let x = 0.11 - -1.89. Sort x, -1/47, -4 in increasing order. -4, -1/47, x Let q = -98 + 104. Sort q, 3, 1 in descending order. q, 3, 1 Suppose -x - 3*m = -4*x + 81, -4*x - 2*m = -114. Put 2, -4, x, -5 in decreasing order. x, 2, -4, -5 Let v = -0.5 + 0.1. Let j = -7525/4 + 1881. Sort 9, -2/9, j, v in decreasing order. 9, -2/9, j, v Suppose -5*u - 26 = -3*h, -4*u - 5 - 15 = -2*h. Let m be ((-7)/(-21)*0)/2. Sort 6, h, m in ascending order. m, h, 6 Let q = 66.4 + -66.5. Sort -46, -1/3, -1/9, q in ascending order. -46, -1/3, -1/9, q Let s be 23 + ((-16)/(-40) - (-12)/(-5)). Let f(y) = -y**3 - 4*y**2 + 8. Let c be f(-2). Sort -4, c, s in increasing order. -4, c, s Suppose 3*w - a + 5 = 0, 99*w - 97*w + 3*a + 7 = 0. Let l be 18/(-2) - 8/(-8). Sort l, -1, w, 1 in descending order. 1, -1, w, l Let z = 30 - 22. Let q(p) = p**2 + 7*p + 8. Let j be q(-6). Suppose -o - 2*k + 9 = 0, -23 = -4*o + o - 4*k. Put z, j, o in increasing order. j, o, z Suppose -13*x - 2*g + 12 = -15*x, 6 = -5*x - 3*g. Let i = -5 + 8. Sort x, -1, i. x, -1, i Let p = 1584 - 1587. Suppose -2*t = 4, s + 5*t - 2*t + 2 = 0. Suppose 3*h = y - 11, 6*y = -s*h + 3*y - 32. Sort h, p, -2 in descending order. -2, p, h Let v = 955 - 955.2. Sort v, -2, 4, -2/23. -2, v, -2/23, 4 Let f = 0.098 - 0.198. Sort f, -3, -0.15. -3, -0.15, f Let r = 0.686 + -0.286. Put r, -3/2, -4, 0.33 in increasing order. -4, -3/2, 0.33, r Suppose -13*r = 106 - 67. Put r, 1, 5, 32 in descending order. 32, 5, 1, r Let f = 508 - 512. Let c(j) = -j**2 + 12*j + 4. Let i be c(12). Put i, f, 2, 9 in descending order. 9, i, 2, f Suppose -2*c + 3*l = -3, 2*c - 8 = -2*c + 4*l. Suppose -3*o + 0 + 1 = -2*p, p + c = -o. Sort -4, o, 3 in ascending order. -4, o, 3 Suppose 4*r + 22 = -r - v, -19 = 5*r + 2*v. Let h be (-4)/8 + 2/4. Suppose -5*o - 3*z = 20 - 50, 3*o - z - 4 = h. Sort 0, o, r in decreasing order. o, 0, r Let u = 1 - 0.9. Let n = 7578.2 + -7578. Put -3/5, n, u in descending order. n, u, -3/5 Suppose 0 = -0*m - 3*m - 9. Let h(z) = z + 2. Let n be h(m). Suppose -2*a = 5*g - 4, 3*a + 3*g - 3 = -6. Put a, n, 1 in ascending order. a, n, 1 Let l be 2 - 2 - (-3 + -2). Sort 4, l, -5, -17 in ascending order. -17, -5, 4, l Let h = -1406 + 1405.7. Put -18/11, 5, h in ascending order. -18/11, h, 5 Let l = -266.102 - -266. Sort 1/2, -1/8, l in descending order. 1/2, l, -1/8 Let y(q) = q**2 + 36*q + 133. Let f be y(-32). Sort f, 4, -27, 0 in descending order. f, 4, 0, -27 Let z be 980/(-294)*(-1)/25. Sort 1, 11, z. z, 1, 11 Suppose 0*v + 2 = v, 5 = b + v. Suppose x + b - 1 = 0. Sort x, 4, 2. x, 2, 4 Let b(r) = r**3 - 7*r**2 + 11*r - 5. Let c be b(6). Suppose 0 = -2*v - 2*n + 42, 2*v + 5*n + 7 = 49. Let s = c - v. Put s, 0, 2 in decreasing order. s, 2, 0 Suppose -3*h = 4*j - 6, -4*h - 10 = -3*j - 9*h. Suppose 2*v - s - 12 = -2*v, j = -v - 2*s + 12. Suppose u - v = -u. Sort 5, u, -5 in descending order. 5, u, -5 Suppose 4*m + 11 = 3*j, -j - 1 + 10 = 4*m. Sort j, -13, 3 in decreasing order. j, 3, -13 Suppose 83 = -3*x + 56. Sort 2, 5, x in ascending order. x, 2, 5 Let h(g) = -g + 28. Let i be h(25). Suppose -a + 2*q = -i*a - 6, -q = -2*a + 9. Put a, -4, 3 in decreasing order. 3, a, -4 Let u(z) = 10 + 7 + 0 + 3 + 4*z. Let y be u(-5). Sort -4, y, 3, -8 in increasing order. -8, -4, y, 3 Let o be (-36)/10 - -6*2/3. Sort -1, 3, -2, o in descending order. 3, o, -1, -2 Let b = -3 - -1. Let i = 5 + b. Let a = -248.2 - -248. Put 0.2, i, a in descending order. i, 0.2, a Let r = 20 - 19.79. Let n = -0.51 + r. Let s = 2.7 - n. Sort s, -0.4, -1/7 in increasing order. -0.4, -1/7, s Let u(w) = -w**3 + 4*w**2 + 8*w + 3. Let p be u(6). Let t be 18/21*p/(-6). Sort -5, -6, t in descending order. t, -5, -6 Let b be (-7)/(61152/(-4168)) + (-4)/(-14). Let z = b - 1/78. Sort 0.5, 5/2, z, 2/5 in increasing order. 2/5, 0.5, z, 5/2 Suppose -6*m + 1 = 31. Put -21, 2, m in decreasing order. 2, m, -21 Let x = -998 - -998.09. Put 2/15, -2/11, x in ascending order. -2/11, x, 2/15 Let m = -136 + 141. Sort -2, 0, m in ascending order. -2, 0, m Let w = 11 - -11. Let f be (-16)/(-6) + w/66. Suppose -x + 2 = -3. Put x, -5, f in ascending order. -5, f, x Let f(h) = -h**3 - 5*h**2 - 2*h + 9. Let d be f(-3). Sort -2, d, -2/13, 1/9 in descending order. 1/9, -2/13, -2, d Let s = -6.15 - -6. Let l = 0.713 - 0.813. Sort l, s, -1 in decreasing order. l, s, -1 Let c(p) = -13*p - 303. Let b be c(-23). Put -14, -3, b in increasing order. -14, b, -3 Let y = -0.3 - -0.3. Let i = -0.6 + -99.4. Let r = 99.5 + i. Put y, 2, r in increasing order. r, y, 2 Suppose 2 = -3*a + 5, u + 2 = 5*a. Suppose 3*n + g - 16 = 3*g, 5*g = -2*n - 2. Sort -11, u, n in increasing order. -11, u, n Suppose -j - 13 = 3*n, -4*j - 19 - 1 = 4*n. Let i be (-4 - 1 - j)/1. Suppose 2*a - 5*u + 30 = 0, 3*u - 25 = 3*a + 2. Sort i, a, 1 in decreasing order. 1, i, a Let n = -2 + -2. Let b = 0.67 + -0.57. Put b, -3, 4, n in decreasing order. 4, b, -3, n Let i(v) = v + 8. Let s = -22 - -18. Let c be i(s). Put -6, c, -2 in decreasing order. c, -2, -6 Let t = -267 - -267. Sort 20, 1, t in decreasing order. 20, 1, t Let z = 24.1 - 25.1. Put 40, -0.5, z in decreasing order. 40, -0.5, z Let z = 90 - 901/10. Sort -0.4, z, -5, -7/3 in descending order. z, -0.4, -7/3, -5 Let a = -3759 + 3759.2. Let o = -3 - -1. Put o, -3, 4/3, a in decreasing order. 4/3, a, o, -3 Let v be (-69)/6*-1*2. Let f = v + -25. Sort f, 1/7, -4 in descending order. 1/7, f, -4 Let f = 4 - 3. Let o = -4208 + 4212. Sort f, 2/7, o in decreasing order. o, f, 2/7 Let l be 0 + 5 + (
{ "pile_set_name": "DM Mathematics" }
of sequence qjw when three letters picked without replacement from wqwjdwdwdjq. 8/495 Two letters picked without replacement from {h: 1, t: 1, f: 2, w: 1}. Give prob of sequence tf. 1/10 Calculate prob of sequence uu when two letters picked without replacement from {u: 2, w: 1, d: 2, m: 1, t: 1}. 1/21 Four letters picked without replacement from {o: 3, r: 5, a: 2, c: 2, s: 1, l: 6}. Give prob of sequence coca. 1/7752 What is prob of sequence hhh when three letters picked without replacement from {h: 7, b: 2}? 5/12 Three letters picked without replacement from yyybybyyyyy. Give prob of sequence byb. 1/55 What is prob of sequence jdjd when four letters picked without replacement from jjddjjjjjjjjjdjjjddj? 35/969 What is prob of sequence ci when two letters picked without replacement from {c: 5, i: 1, k: 7}? 5/156 Calculate prob of sequence eenn when four letters picked without replacement from {n: 8, e: 5}. 28/429 Two letters picked without replacement from {s: 15, h: 4}. What is prob of sequence hh? 2/57 What is prob of sequence htk when three letters picked without replacement from uuthskth? 1/84 Calculate prob of sequence jj when two letters picked without replacement from {i: 1, j: 3, v: 3}. 1/7 What is prob of sequence gg when two letters picked without replacement from {g: 7, l: 4}? 21/55 Two letters picked without replacement from lwllww. What is prob of sequence ll? 1/5 Four letters picked without replacement from csdis. Give prob of sequence siii. 0 Four letters picked without replacement from {b: 1, s: 2, p: 1, a: 4, o: 5, q: 2}. What is prob of sequence oaqs? 2/819 What is prob of sequence vv when two letters picked without replacement from {v: 6}? 1 What is prob of sequence gg when two letters picked without replacement from {y: 2, g: 6, q: 1, n: 2}? 3/11 Calculate prob of sequence ryg when three letters picked without replacement from {y: 1, g: 3, t: 1, r: 4, v: 1, k: 2}. 1/110 Two letters picked without replacement from dzdzuzmdudddmnzd. Give prob of sequence uz. 1/30 Three letters picked without replacement from {p: 7, e: 5, d: 3, w: 1}. Give prob of sequence dpp. 3/80 Two letters picked without replacement from {c: 9, l: 3}. What is prob of sequence cc? 6/11 What is prob of sequence jx when two letters picked without replacement from {j: 11, x: 2}? 11/78 Calculate prob of sequence omm when three letters picked without replacement from maccataoatatamoaaca. 2/2907 Three letters picked without replacement from mqymwmuuuwu. What is prob of sequence ymw? 1/165 What is prob of sequence knn when three letters picked without replacement from nlurklkn? 1/84 Calculate prob of sequence pd when two letters picked without replacement from {d: 4, r: 1, z: 7, w: 6, p: 2}. 2/95 Calculate prob of sequence op when two letters picked without replacement from {u: 9, p: 1, o: 1}. 1/110 Three letters picked without replacement from {b: 2, j: 4, p: 2, c: 2, t: 2}. Give prob of sequence jbp. 2/165 Calculate prob of sequence ene when three letters picked without replacement from {n: 7, e: 4}. 14/165 Three letters picked without replacement from {t: 5, f: 3, h: 2}. What is prob of sequence tff? 1/24 Calculate prob of sequence kk when two letters picked without replacement from kssysksk. 3/28 Calculate prob of sequence na when two letters picked without replacement from {q: 1, n: 2, a: 2, w: 2, c: 1}. 1/14 What is prob of sequence tm when two letters picked without replacement from ttttmm? 4/15 Two letters picked without replacement from qoqqoqqqqoqqqqoqqq. What is prob of sequence oq? 28/153 Calculate prob of sequence kc when two letters picked without replacement from {c: 4, j: 1, m: 6, e: 1, k: 3, u: 5}. 3/95 What is prob of sequence hyjj when four letters picked without replacement from johjyyyyjjjjj? 7/715 Calculate prob of sequence tz when two letters picked without replacement from {z: 2, t: 2, j: 1, y: 1}. 2/15 Four letters picked without replacement from zzzznzzznzzzzzznzn. What is prob of sequence zznz? 91/765 Two letters picked without replacement from gvugugvuvuuhu. Give prob of sequence gg. 1/26 What is prob of sequence yfz when three letters picked without replacement from mfnyyyzy? 1/84 Four letters picked without replacement from rwlmlrlwsw. What is prob of sequence lswl? 1/280 Four letters picked without replacement from {s: 3, x: 5, t: 2}. Give prob of sequence sstt. 1/420 Two letters picked without replacement from {k: 11, n: 1}. What is prob of sequence nk? 1/12 Three letters picked without replacement from {q: 2, p: 1, l: 2, f: 1, c: 1, e: 1}. Give prob of sequence cqq. 1/168 Calculate prob of sequence ebx when three letters picked without replacement from {b: 1, e: 1, n: 1, x: 2, p: 4, v: 3}. 1/660 Four letters picked without replacement from veeeeeveeeleeeeve. What is prob of sequence leve? 39/4760 Calculate prob of sequence msyz when four letters picked without replacement from {m: 2, s: 1, z: 1, y: 1}. 1/60 Three letters picked without replacement from {x: 1, s: 2}. What is prob of sequence sxs? 1/3 Calculate prob of sequence nn when two letters picked without replacement from {n: 8, b: 2}. 28/45 Two letters picked without replacement from jnjononjongon. What is prob of sequence on? 5/39 Four letters picked without replacement from rrdrrrdddrdr. Give prob of sequence ddrd. 7/198 Three letters picked without replacement from bwsxyuu. Give prob of sequence yxb. 1/210 Two letters picked without replacement from jmvvppvjcppm. What is prob of sequence pj? 2/33 Three letters picked without replacement from ciinnofonccj. What is prob of sequence foj? 1/660 What is prob of sequence nnqq when four letters picked without replacement from {q: 6, n: 6}? 5/66 Four letters picked without replacement from {w: 2, i: 2, m: 2, x: 2}. What is prob of sequence xwmw? 1/210 Two letters picked without replacement from {e: 2, d: 4, k: 2, m: 2, l: 1, n: 3}. Give prob of sequence dm. 4/91 Three letters picked without replacement from bbbbbbbbbtbbbbbbbttb. Give prob of sequence btt. 17/1140 Two letters picked without replacement from amammkmk. Give prob of sequence ak. 1/14 What is prob of sequence iffo when four letters picked without replacement from ioofffiooioofff? 3/182 Two letters picked without replacement from ordrcccdo. Give prob of sequence od. 1/18 Two letters picked without replacement from {d: 3, g: 2, l: 10}. What is prob of sequence gg? 1/105 Two letters picked without replacement from {o: 5, n: 9}. What is prob of sequence nn? 36/91 What is prob of sequence ccc when three letters picked without replacement from mmcmmcmccc? 1/12 Four letters picked without replacement from {e: 1, b: 8, x: 5, w: 5, n: 1}. Give prob of sequence ewww. 1/1938 Four letters picked without replacement from kkkkkkzzkzkkkk. Give prob of sequence kkzz. 5/182 Calculate prob of sequence nh when two letters picked without replacement from nghnngg. 1/14 What is prob of sequence ggmm when four letters picked without replacement from mmgbgbgg? 1/70 Four letters picked without replacement from looqoqojqqjnqpnnjlqj. Give prob of sequence npqo. 1/1615 What is prob of sequence fpn when three letters picked without replacement from {n: 4, f: 3, e: 1, p: 2}? 1/30 Two letters picked without replacement from {r: 1, l: 6, f: 11}. What is prob of sequence rl? 1/51 Calculate prob of sequence ld when two letters picked without replacement from {i: 2, d: 2, l: 2}. 2/15 What is prob of sequence cc when two letters picked without replacement from cccccccchcccccccccc? 17/19 What is prob of sequence hn when two letters picked without replacement from {n: 6, q: 3, h: 2, u: 1}? 1/11 Two letters picked without replacement from {q: 2, a: 2}. Give prob of sequence aa. 1/6 What is prob of sequence pphp when four letters picked without replacement from {h: 1, p: 12}? 1/13 Four letters picked without replacement from looavzzxxazxxlxzz. Give prob of sequence vzoz. 1/1428 Four letters picked without replacement from {z: 1, t: 1, x: 1, o: 1, j: 2, p: 2}. Give prob of sequence pjtz. 1/420 What is prob of sequence nu when two letters picked without replacement from {n: 2, b: 1, q: 1, u: 1}? 1/10 Three letters picked without replacement from {y: 1, h: 2, n: 2, v: 1}. Give prob of sequence nhv. 1/30 T
{ "pile_set_name": "DM Mathematics" }