6)/(-32)*(-13 + 17). Let -y + 21/4*k**2 - 3/2*k - 3*k**3 = 0. Calculate k.
-1/4, 1
Let r = 29/7 + -283/70. Let k(s) be the second derivative of 1/15*s**6 - 5/3*s**3 - 9*s - 1/2*s**4 - 2*s**2 + r*s**5 + 0. Let k(n) = 0. What is n?
-1, 2
Let t(i) = i**3 + 2*i - 1. Let m(r) = r**5 - 6*r**4 + 15*r**3 - 10*r**2 + 9*r - 3. Let p(d) = -m(d) + 3*t(d). Factor p(g).
-g*(g - 3)*(g - 1)**3
Let i(s) be the first derivative of -s**6/72 + s**5/6 - 5*s**4/8 + 22*s**3/3 + 29. Let b(l) be the third derivative of i(l). Factor b(q).
-5*(q - 3)*(q - 1)
Let y be (2/(-3))/(6*9/(-729)). Factor y*c - 11*c + 4*c**2 + 24*c + 4*c**4 + 2*c - 16*c**3.
4*c*(c - 3)*(c - 2)*(c + 1)
Suppose -175 + 865*r + 610 - 1712152*r**2 + 1712142*r**2 = 0. What is r?
-1/2, 87
Let d = 7914 + -87052/11. Let -d*t**2 + 4/11 - 2/11*t = 0. What is t?
-2, 1
Let p be (-8)/14*(-469)/134. Let o(y) be the third derivative of 9*y**p - 1/30*y**4 + 0*y**3 + 0*y + 0 - 7/150*y**5. Let o(f) = 0. Calculate f.
-2/7, 0
Let l(n) be the first derivative of -2*n**5/5 + n**4 - 2*n**3/3 - 66. Let l(m) = 0. What is m?
0, 1
Let r(c) be the third derivative of c**7/2520 - 3*c**5/40 + 25*c**4/24 - 41*c**2. Let t(g) be the second derivative of r(g). Factor t(l).
(l - 3)*(l + 3)
Let u(v) = -v**3 + 22*v**2 + 12*v - 1. Let l(d) = 2*d**3 - 54*d**2 - 30*d + 2. Let s(i) = 5*l(i) + 12*u(i). Factor s(q).
-2*(q + 1)**3
Suppose -5*i - 57 = -67. Suppose i*d + 2*d - 5*d = 0. Find y such that -1/3*y**2 + d - 2/3*y = 0.
-2, 0
Let s be (33 + 4982/(-141))*((-24)/(-14))/(-2). Factor -2/5*n**2 - s - 12/5*n.
-2*(n + 1)*(n + 5)/5
Factor 44 - 222/5*n + 2/5*n**2.
2*(n - 110)*(n - 1)/5
Let b be 0 + -6*(-1)/185. Let t = 698/1295 + b. Find q such that 6/7*q**2 + 2/7*q - t = 0.
-1, 2/3
Let i(g) = 7*g**2 + 50*g + 102. Let l(n) = 12*n**2 + 101*n + 204. Let j(c) = -10*i(c) + 6*l(c). Find r such that j(r) = 0.
-51, -2
Let b(y) be the second derivative of -y**7/399 - 2*y**6/95 + y**5/19 + 10*y**4/57 - 3*y**3/19 - 14*y**2/19 + 38*y. Let b(i) = 0. Calculate i.
-7, -1, 1, 2
Let s = -50 + 85. Factor 22*f**2 - 67*f**2 - 24*f**3 + s*f - 10 + 49*f**3 - 5*f**4.
-5*(f - 2)*(f - 1)**3
What is h in 717/7*h**2 - 3/7*h**5 - 45/7*h**4 - 81/7*h**3 - 972/7 - 216/7*h = 0?
-9, -1, 2
Let c(m) be the first derivative of m**3/3 + 5*m**2/2 + 7*m - 5. Let n(t) = 12*t**2 + 56*t + 78. Let b(j) = -68*c(j) + 6*n(j). Solve b(f) = 0.
-1, 2
Suppose 4 = 2*g + 2*o, 0*o - 3*o = -2*g + 19. Suppose -b + 3 + 0 = 0. Factor 6*x**b + 0*x - 4*x**2 - 9*x**3 + 4*x - x**g + 4*x**4.
-x*(x - 2)**2*(x - 1)*(x + 1)
Let x(k) = k**5 - 8*k**4 - 5*k**3 + 2*k + 2. Let h(n) = -5*n**5 + 34*n**4 + 20*n**3 - n**2 - 9*n - 9. Let q(u) = 2*h(u) + 9*x(u). Factor q(i).
-i**2*(i + 1)**2*(i + 2)
Let h(w) = -19*w**2 + 7*w - 52. Let x(y) = 3*y**2 - y + 8. Let r(f) = -6*h(f) - 39*x(f). Suppose r(a) = 0. What is a?
-1, 0
Factor -2/5*q**3 + 14/5*q + 8/5*q**2 - 4.
-2*(q - 5)*(q - 1)*(q + 2)/5
Suppose 6*s + 11 = 29. Determine n, given that -n**4 + n + 5*n - 10*n + s*n**3 = 0.
-1, 0, 2
Let f = -112902493/10825086 + 10/76233. Let n = 5/71 - f. What is z in -3*z**2 - 15/2*z**4 + 0 + 0*z + n*z**3 = 0?
0, 2/5, 1
Let f(x) be the second derivative of 5*x**7/168 + x**6/60 - 3*x**5/16 - x**4/3 - x**3/6 + 2*x - 1. Let f(v) = 0. Calculate v.
-1, -2/5, 0, 2
Let h(w) be the second derivative of w**4/3 - 12*w**3 + 130*w**2 + 9*w + 5. Factor h(x).
4*(x - 13)*(x - 5)
Let t(v) be the first derivative of -7*v**6/90 - v**5/15 + 4*v**3/3 - 5. Let p(l) be the third derivative of t(l). Find r, given that p(r) = 0.
-2/7, 0
Let c(f) be the third derivative of -f**5/60 + 323*f**4/120 + 13*f**3/3 - 12*f**2 + 7*f. Determine n so that c(n) = 0.
-2/5, 65
Let u = 26 + -25. Let j be (20/(4 - 0))/u. Determine n, given that -12*n**3 + 7*n + j*n - 2 - 20*n + 22*n**2 = 0.
-1/6, 1
Let m(y) = -54*y**2 - 3*y + 3. Let z be m(1). Let o be z/(-15) + (-18)/30. Let 8/11*d**4 + 0 + 8/11*d**2 + 12/11*d**o + 2/11*d + 2/11*d**5 = 0. What is d?
-1, 0
Let m be (-8)/(7 - 3) + 5. Factor 56*q**3 + 260*q + 33*q**m + 226*q**3 + 510*q**2 + 40.
5*(3*q + 2)**2*(7*q + 2)
Suppose l + 56 = -2*v, 2*v + 3*l + 65 = 9. Let z be (-4)/v*-17 - -3. Solve 0*u**2 + 4/7*u**3 + 0 - z*u = 0.
-1, 0, 1
Let b(n) be the first derivative of n**6/6 - 2*n**5/5 - 13*n**4/2 + 81*n**2/2 - 54*n - 10. Factor b(r).
(r - 6)*(r - 1)**2*(r + 3)**2
Suppose -5*d = -3*g + 50, 4*g - 4*d - 60 = d. Let w be ((-2)/g)/(12/(-45)). Factor w*b**3 - 1/4*b**2 - 1/4*b**4 - 3/4*b + 1/2.
-(b - 2)*(b - 1)**2*(b + 1)/4
Find d, given that -8/13*d + 0 - 40/13*d**2 + 22/13*d**3 = 0.
-2/11, 0, 2
Factor 4*j**2 + 37 + 59 - 5*j**2 - 2*j**2 - 12*j - 30*j.
-3*(j - 2)*(j + 16)
Let z = -46 - -51. Suppose 0*o - 4*o = -2*q, -3*o - z*q = -26. Factor -7/4*t - 1/2 + 9/4*t**o.
(t - 1)*(9*t + 2)/4
Find y, given that -2680*y**3 + 2848*y**3 + 0*y**5 + 2*y**5 - 88*y**4 = 0.
0, 2, 42
Let z(u) be the first derivative of -u**5 - 3*u**4/4 + 7*u**3/3 + 3*u**2/2 - 2*u - 47. Find d such that z(d) = 0.
-1, 2/5, 1
Let l(q) be the second derivative of -33/20*q**5 + 3*q**2 + 2/7*q**7 - 11/2*q**3 + 0 - 2/5*q**6 + 43*q + 5*q**4. Determine v, given that l(v) = 0.
-2, 1/2, 1
Let h(r) = -17*r**3 - 7*r**2 + 11*r - 3. Let l(o) = o**3 - o**2 + o - 1. Let a(p) = -2*h(p) + 2*l(p). Determine b so that a(b) = 0.
-1, 1/3
Let y = -557/10 - -281/5. Let -y*j + 3/4*j**2 - 1/4*j**3 + 0 = 0. Calculate j.
0, 1, 2
Let j(t) = 9*t**3 - 12*t**2 + 13*t + 12. Let i(w) = w**3 + w. Suppose 5*g = 3*o - 4, o + g - 1 = -5. Let v(d) = o*j(d) + 22*i(d). Factor v(n).
4*(n - 1)*(n + 1)*(n + 6)
Let b = 64 + -62. Factor -4*c**3 - 3*c**b + 21*c**2 - 27*c + c**3.
-3*c*(c - 3)**2
Find a such that 19*a**3 + 8*a**4 + 11*a**4 + 7*a**4 + 74*a**2 + 56*a - 25*a**4 = 0.
-14, -4, -1, 0
Find i, given that 1574*i**2 - 5*i**3 - 12*i - 1550*i**2 - 6*i**4 - 4*i**3 + 3*i**5 = 0.
-2, 0, 1, 2
Let u = -10 - -32. Factor -17*d + 24*d + 7*d**2 - 17*d - u*d**2.
-5*d*(3*d + 2)
Suppose 8*w - 159 = 249. Let k be w/12 - 2 - (-1)/(-4). Factor 0 + 2/5*i**k - 6/5*i.
2*i*(i - 3)/5
Let s be 6 + 1 + (-18 + 11)/(-56)*-52. Determine y, given that -1/4*y**5 + 1/4*y + 0 + 0*y**3 - 1/2*y**4 + s*y**2 = 0.
-1, 0, 1
Let s(j) = j**2 + 13*j + 4. Let i be s(-15). Suppose 5*n - 31 = g, -7*g + i = 2*n - 2*g. Find a, given that 4*a**2 - 6 + 0 - n + 1 + 8*a = 0.
-3, 1
Suppose -44*l + 132 = -88. Factor -2/11*n**3 + 0 - 2/11*n**l + 0*n**2 - 4/11*n**4 + 0*n.
-2*n**3*(n + 1)**2/11
Let d(b) be the first derivative of b**8/1512 - b**6/270 + b**4/108 - 7*b**2/2 + 29. Let v(n) be the second derivative of d(n). Factor v(a).
2*a*(a - 1)**2*(a + 1)**2/9
Let q = -143 + 147. Let t(a) be the first derivative of 4/21*a**3 - 1/28*a**q - 5/14*a**2 - 3 + 2/7*a. Factor t(c).
-(c - 2)*(c - 1)**2/7
Let k(r) be the second derivative of 2*r**6/15 + 11*r**5/5 - 29*r**4/3 - 26*r**3 + 7*r - 6. Factor k(x).
4*x*(x - 3)*(x + 1)*(x + 13)
Find j such that 0 + 45/2*j**3 + 55/2*j**2 + 5*j = 0.
-1, -2/9, 0
Let z = 3/784 + 775/2352. Factor -1/3 - n**2 - z*n**3 - n.
-(n + 1)**3/3
Let z(a) be the second derivative of a**6/2520 - a**5/840 + 2*a**3/3 - 6*a. Let d(m) be the second derivative of z(m). Determine l so that d(l) = 0.
0, 1
Factor 0*d + 2/7*d**4 + 14*d**2 + 0 + 4*d**3.
2*d**2*(d + 7)**2/7
Let s(a) be the second derivative of 0*a**2 + 0 - 1/9*a**3 + 2*a + 1/36*a**4. Factor s(b).
b*(b - 2)/3
Let 11/2*v**2 + 25/2*v + 13/2 - 1/2*v**3 = 0. What is v?
-1, 13
Let n = 142 - 138. Factor -11/4*r**3 - 1/2*r**2 - 7/4*r**5 + 0 + 0*r - n*r**4.
-r**2*(r + 1)**2*(7*r + 2)/4
Let b(z) = -4*z**4 - 61*z**3 - 95*z**2 - 65*z - 21. Let o(p) = -35*p**4 - 550*p**3 - 855*p**2 - 585*p - 190. Let y(k) = 55*b(k) - 6*o(k). What is l in y(l) = 0?
-3, -1, -1/2
Let v(u) be the second derivative of -u**5/40 + 49*u**4/96 - u**3/4 - 18*u. Suppose v(y) = 0. What is y?
0, 1/4, 12
Let l(f) be the second derivative of f**4/3 + 22*f**3/3 + 20*f**2 + 111*f. What is j in l(j) = 0?
-10, -1
Let x(r) = 3*r**2 - 3*r. Let o(g) be the second derivative of 0 + 0*g**2 - 1/6*g**3 - 3*g. Let d(c) = -6*o(c) + x(c). Suppose d(w) = 0. What is w?
-1, 0
Let y(x) = -11*x**3 - 4*x**2 - x + 12. Let w(h) = -75*h**3 - 30*h**2 - 6*h + 84. Let p(s) = -4*w(s) + 27*y(s). Factor p(z).
3*(z - 1)*(z + 1)*(z + 4)
Let u be (-231)/(-42) + (-3 - 2). Let g(o) be the second derivative of -7/24*o**4 - 3/4*o**3 + 0 - 4*o - u*o**2. Determ