 Factor c(y).
3*y**2*(y - 1)**2*(3*y - 1)
Let p(v) be the third derivative of 0*v**3 + 1/40*v**6 - 1/60*v**5 - 1/126*v**7 + 0 - 1/72*v**4 + 0*v + 18*v**2. Factor p(r).
-r*(r - 1)**2*(5*r + 1)/3
Let a(t) = 12*t**3 - 29*t**2. Let l(u) = 2*u**3 - 5*u**2. Suppose -n + 136 = -5*n. Let x(w) = n*l(w) + 6*a(w). Solve x(s) = 0 for s.
0, 1
Let u be 21/(-21) + 2038/2042. Let r = u - -4102/9189. Find p such that 0 + 0*p**2 + 2/9*p**3 + 2/9*p**5 - r*p**4 + 0*p = 0.
0, 1
Let b(h) be the second derivative of h**6/195 + 3*h**5/65 - 7*h**4/78 + 3*h - 12. Factor b(u).
2*u**2*(u - 1)*(u + 7)/13
Suppose 7*q - 26 = 16. Suppose -10*b = -q*b - 8. Determine n, given that 17*n - 3*n**2 + n**4 - 16*n + 2*n**b - n**3 = 0.
-1, 0, 1
Let g be 24/14 - (-279)/217. Factor -9/4*n**2 - 1/4*n**g + 9/4*n - 1/2 + 3/4*n**4.
(n - 1)**2*(n + 2)*(3*n - 1)/4
Let x(w) be the second derivative of 0 - 1/12*w**4 - 1/4*w**3 - 20*w + 1/8*w**5 + 0*w**2. Suppose x(t) = 0. Calculate t.
-3/5, 0, 1
Let p be ((0 - -2) + -4)*-6*8/48. Factor 8/5 + 24/5*o + 18/5*o**p.
2*(3*o + 2)**2/5
Let s = 3 - 4. Let v be s*(-19)/(1 + 0). Let 10*a + 7*a**2 + 9 - 6*a**3 + 3*a**4 - v*a**2 - 4*a = 0. What is a?
-1, 1, 3
Let b be 4 + (-1)/(-22)*20. Let r = -165 - -167. Factor -18/11*p**r - 54/11 + 2/11*p**3 + b*p.
2*(p - 3)**3/11
Let y(z) be the second derivative of z**4 + 2*z**3 + z + 0 + 3/20*z**5 + 0*z**2. Solve y(i) = 0.
-2, 0
Let p(q) = 6*q**3 - 141*q**2 + 5324*q - 5. Let v(r) = 5*r**3 - 142*r**2 + 5325*r - 4. Let y(t) = 4*p(t) - 5*v(t). Factor y(o).
-o*(o - 73)**2
Let d(o) = 5*o**2 - 18*o - 87. Let g(q) = -9*q**2 + 38*q + 175. Let s(u) = 5*d(u) + 3*g(u). Find i, given that s(i) = 0.
-3, 15
Let z(l) = 2*l**3 + l**2 + l. Let u(q) = q**3 - 3*q**2 + 29*q - 32. Let p(x) = 5*u(x) - 5*z(x). Solve p(w) = 0 for w.
-8, 2
Let y(t) = -2*t**2 + 20*t - 23. Let h be y(8). Let s be (-4)/(-24)*12/h. What is x in s*x + 4/9*x**2 + 0 = 0?
-1/2, 0
Suppose 27*s**3 + s**4 - 2*s**4 + 36*s + 7*s**4 + 60*s**2 - 3*s**4 = 0. Calculate s.
-6, -2, -1, 0
Suppose -8*v = 62 - 86. Let y(x) be the first derivative of -1/6*x**4 + 2 - 2/45*x**5 + 1/27*x**6 + 0*x - 2/9*x**2 + 10/27*x**v. Factor y(p).
2*p*(p - 1)**3*(p + 2)/9
Let j be 1/(-5)*120/(-144). Let f(p) be the second derivative of 0 + 1/12*p**4 - j*p**3 + 2*p - 1/60*p**5 + 1/6*p**2. Factor f(b).
-(b - 1)**3/3
Let n(o) be the third derivative of o**5/15 - 30*o**4 + 5400*o**3 - 101*o**2. Factor n(t).
4*(t - 90)**2
Suppose v - 5*h = 92, 4*v - 6*v = h - 184. Let s = 96 - v. Determine n, given that -32/5*n**3 + 0 + 10*n**5 + 8/5*n**2 + 2*n**s + 0*n = 0.
-1, 0, 2/5
Find g such that -9/5*g + 6/5*g**4 + 8/5*g**3 + 1/5*g**5 - 6/5*g**2 + 0 = 0.
-3, -1, 0, 1
Suppose -2*q - 14 = 2*k, 6*q - q - 5*k = 5. Let i be (-1)/(-2*q/(-18)). Factor 2/3*a**2 + 0*a + 8/3*a**i + 0.
2*a**2*(4*a + 1)/3
Let t = -38 - -23. Let b be 13 + t - 8/(-2). Factor -7*h**2 + 2 + 4*h**b - 6 - 8 + 15*h.
-3*(h - 4)*(h - 1)
Let m(r) = 2*r**2 + 2*r + 2. Let f be (-4)/(-16) - (-66)/(-8). Let t = -3 - f. Let i(c) = -4*c**2 - 4*c - 5. Let k(h) = t*m(h) + 2*i(h). Solve k(o) = 0 for o.
-1, 0
Let d(h) be the second derivative of h**5/4 + 40*h**4/3 + 640*h**3/3 + h - 25. Let d(c) = 0. What is c?
-16, 0
Suppose 0 = -4*x - w + 147, -10*x + 4*w + 24 = -9*x. Let 34*u**2 - 12*u**2 + 21*u**5 + 9*u**3 - x*u**4 - 16*u**2 = 0. What is u?
-2/7, 0, 1
Let p(u) be the second derivative of u**6/360 + u**5/60 + u**4/24 + 3*u**3/2 + 5*u. Let d(k) be the second derivative of p(k). Factor d(s).
(s + 1)**2
Let a(o) = 4*o - 6. Let x(d) = d**3 + 3*d**2 - 6*d - 5. Let k be x(-4). Let w be a(k). Factor 3*z**5 - w*z**4 + 13*z**2 + 11*z**2 + 6*z - 9*z**3 - 4*z - 14*z.
3*z*(z - 2)*(z - 1)**2*(z + 2)
Suppose -j = 3*t - 16, -5*t - 4 = -6*t. Let a(g) be the third derivative of 0 + 0*g**3 - 1/48*g**j - 1/120*g**5 + 0*g + 11*g**2. Factor a(i).
-i*(i + 1)/2
Let g be 9/(-11) + (-8)/44. Let a be g + 1/2 + -6 + 7. Factor -1/4 - 1/4*w**5 + a*w**2 + 1/2*w**3 - 1/4*w - 1/4*w**4.
-(w - 1)**2*(w + 1)**3/4
Let t = 6632 - 6632. Factor t*n**2 - 2/9*n**4 - 4/9*n**3 + 2/9 + 4/9*n.
-2*(n - 1)*(n + 1)**3/9
Let k be (-3)/6*-36*(3 + -1). Suppose -33*b - 9 = -k*b. Suppose 5/2*y**4 - y - 5/2*y**2 + 3/2*y**5 + 0 - 1/2*y**b = 0. Calculate y.
-1, -2/3, 0, 1
Factor -2*l**3 + l**3 - 36*l**4 + 15*l**4 + 0*l**3 + 21*l**2 + 6*l - 5*l**3.
-3*l*(l - 1)*(l + 1)*(7*l + 2)
What is z in 24/7*z**2 + 57/7*z - 3/7*z**3 + 30/7 = 0?
-1, 10
Let t be -6*6/(-60) + 6/(-15). Solve 2/5*l + t*l**2 + 1/5 = 0.
-1
Let z = 5268 - 42143/8. What is m in 0 - 1/8*m**3 - 1/8*m**2 + 1/8*m + z*m**4 = 0?
-1, 0, 1
Let b = 12650/217 - 1630/31. Factor -6/7*y**2 - 24/7 - b*y.
-2*(y + 6)*(3*y + 2)/7
Suppose 78/5*z + 3/5*z**2 + 15 = 0. What is z?
-25, -1
Suppose 0 = -5*u - f + 11, 0 = u - 6*f + 2*f + 2. Solve -2*r**4 - 2 - 9*r**4 + 11*r**4 - 2*r**4 + 4*r**u = 0.
-1, 1
Let h(m) = m**5 - 4*m**2 + 2*m + 1. Let w(g) = -21*g**5 - 66*g**4 - 60*g**3 + 138*g**2 + 27*g - 18. Let b(l) = 18*h(l) + w(l). Find v such that b(v) = 0.
-21, -1, 0, 1
Let p(t) be the third derivative of -1/120*t**5 - 1/24*t**4 + 0*t**3 + 0 - 3*t**2 + 0*t. Factor p(o).
-o*(o + 2)/2
Let f(c) = 7*c**3 + 11*c**2 + 28*c + 8. Let u(l) = -48*l**3 - 78*l**2 - 195*l - 57. Suppose 135 = -21*b + 16*b. Let k(d) = b*f(d) - 4*u(d). Factor k(s).
3*(s + 1)*(s + 2)**2
Let z(w) be the second derivative of -1/14*w**4 + 0*w**6 + 1/98*w**7 - 9/140*w**5 + 0*w**2 + 2*w + 0*w**3 + 0. Factor z(y).
3*y**2*(y - 2)*(y + 1)**2/7
Let l = 33758/7 - 4822. Factor 24/7*g**2 + 32/7 - l*g**3 - 48/7*g.
-4*(g - 2)**3/7
Let c(f) = -f - 1. Let v(x) = -24*x + 51. Let m(u) = u**2 - u - 1. Let d(q) = 5*m(q) + v(q). Let g(y) = c(y) + d(y). Factor g(i).
5*(i - 3)**2
Let n(s) = -52*s + 5. Let w be n(-1). Let y be w/168 + 4/42*3. Find k such that -k**3 + 1/2*k**4 + y*k + 3/8*k**5 - 3/4*k**2 + 1/4 = 0.
-2, -1, -1/3, 1
Solve 0*n - 3/2*n**3 + 3*n**2 + 0 = 0 for n.
0, 2
Let h(x) be the first derivative of x**4/16 - 479*x**3/12 + 57599*x**2/8 - 57121*x/4 - 763. Factor h(u).
(u - 239)**2*(u - 1)/4
Let m(g) be the second derivative of g**6/30 - 3*g**5/40 - 31*g**4/24 + 4*g**3 - 4*g**2 - 204*g. Solve m(f) = 0 for f.
-4, 1/2, 1, 4
Let 435/2*x - 3/2*x**3 + 219/2 + 213/2*x**2 = 0. Calculate x.
-1, 73
Let k(x) be the second derivative of -x**6/180 + x**5/30 + x**4/72 - x**3/9 + 89*x + 1. Factor k(l).
-l*(l - 4)*(l - 1)*(l + 1)/6
Let m(i) = i**2 + 87*i + 1760. Let u be m(-32). Suppose 0 + 15/4*a**3 + u*a - 3/4*a**4 + 0*a**2 = 0. What is a?
0, 5
Let d(f) = -f**2 + f. Let y(c) = -78*c - 722. Let u(r) = -4*d(r) - 2*y(r). Determine b so that u(b) = 0.
-19
Let p(t) be the first derivative of 4*t**3/3 - 94*t**2 + 184*t - 400. Factor p(a).
4*(a - 46)*(a - 1)
Suppose -39 = -5*m + 61. Find d such that 5 + 5*d + m*d**2 + 23*d - 3*d = 0.
-1, -1/4
Let a(c) be the second derivative of 5*c**4/36 - 55*c**3/9 + 35*c**2/2 + 248*c. Suppose a(y) = 0. Calculate y.
1, 21
Let m(r) = 14*r**2 - 1164*r + 168. Let d be m(83). Factor 2*z + 8/3*z**d - 12 - 2/3*z**3.
-2*(z - 3)**2*(z + 2)/3
Let m(w) be the second derivative of 3/10*w**5 + 0*w**4 + 0 + 0*w**2 - 8*w + 0*w**3 + 4/15*w**6 + 1/21*w**7. Factor m(x).
2*x**3*(x + 1)*(x + 3)
Let y(j) be the third derivative of 0 - 1/24*j**6 + 0*j + 5/8*j**4 + 0*j**3 + 1/6*j**5 + 17*j**2. Factor y(u).
-5*u*(u - 3)*(u + 1)
Find p, given that 3/10 - 1/5*p - 1/10*p**2 = 0.
-3, 1
Let j be 6*9/378*2. Let x(i) be the first derivative of -1/7*i**4 + 1 + j*i**2 - 2/7*i + 0*i**3 + 2/35*i**5. Let x(g) = 0. What is g?
-1, 1
Let n(o) = -o - 1. Let w(h) = -h**3 + h**2 + 4*h + 2. Suppose 4*q = -3*b + 8, -2 - 3 = q - b. Let f(c) = q*n(c) + w(c). Solve f(r) = 0.
-1, 3
Let d = 13 - 10. Factor 4*s - 3*s**4 - s - 14*s**3 - 13*s**2 + d*s.
-s*(s + 2)*(s + 3)*(3*s - 1)
Let d be 3/12 + (4 - 6/24). Let o(q) be the second derivative of 1/50*q**5 - 1/15*q**3 + 0 + 1/10*q**2 + 0*q**d - 1/150*q**6 - 8*q. Factor o(z).
-(z - 1)**3*(z + 1)/5
Let d be 48/18 + 1450/(-600). Factor 3/4*s**2 + d*s**3 + 0*s - 1.
(s - 1)*(s + 2)**2/4
Let i(o) be the second derivative of 8/3*o**3 + 1/20*o**5 - 1 - 15*o - 7/12*o**4 - 6*o**2. Let i(h) = 0. Calculate h.
2, 3
Let b(f) be the second derivative of f**6/21 + 4*f**5/35 + f**4/42 - 2*f**3/21 - 2*f + 33. Suppose b(h) = 0. What is h?
-1, 0, 2/5
Let k be 68/612 - (-29)/9. Suppose 2*t**3 + 14/3*t**4 - 14/3*t**2 + 0