-a**3 + 96*a**2 - 2131*a - 137. Let k be w(35). Factor -k + 19/2*c - 4*c**2.
-(c - 2)*(8*c - 3)/2
Let a be 12 - 408/60 - (-1)/(-5). Let g(p) be the second derivative of -1/20*p**a + 0 + 1/2*p**3 - 9*p + 0*p**2 + 1/6*p**4. Factor g(y).
-y*(y - 3)*(y + 1)
Determine g so that 81/2*g**2 + 3/4*g**4 - 39*g + 51/4 - 15*g**3 = 0.
1, 17
Let y(a) be the third derivative of -a**6/60 - 2*a**5/15 + 5*a**4/12 + 48*a**2. Factor y(w).
-2*w*(w - 1)*(w + 5)
Let r(u) be the first derivative of 1/9*u**3 + u + 2/3*u**2 - 10. Factor r(k).
(k + 1)*(k + 3)/3
Suppose -492*c**2 + 127*c**2 + 122*c**2 + 292*c + 121*c**2 + 10658 + 124*c**2 = 0. Calculate c.
-73
Let z(a) be the second derivative of -a**4/132 + 7*a**3/66 + 30*a**2/11 - 242*a. Find s, given that z(s) = 0.
-5, 12
Suppose 3*d = -q - 7, 2*d + 2*q + 0*q + 10 = 0. Let z(k) = 4*k**2 + 18*k - 10. Let r(y) = -y - 1. Let p(u) = d*z(u) - 6*r(u). What is n in p(n) = 0?
-4, 1
Let z(v) be the second derivative of -v**7/630 - 7*v**6/90 - 49*v**5/30 - 5*v**4/12 + 11*v. Let o(r) be the third derivative of z(r). Factor o(k).
-4*(k + 7)**2
Find t, given that -2*t + 0 + 1/2*t**3 + 0*t**2 = 0.
-2, 0, 2
Let o(y) be the second derivative of -y**5/5 - 10*y**4/3 + 7*y - 5. Let o(c) = 0. What is c?
-10, 0
Suppose 2*h + 0*k - 1 = -5*k, -k = -4*h + 13. Solve -4*t**3 + h*t**3 + 18*t + 3*t**3 - 20*t = 0 for t.
-1, 0, 1
Let x(q) be the second derivative of -6/35*q**5 + 0*q**3 + 0*q**2 - 1/98*q**7 + 1/14*q**6 - 4*q + 0 + 1/7*q**4. Determine z, given that x(z) = 0.
0, 1, 2
Let z(y) = -y**3 + 23*y**2 + y - 16. Let g be z(23). Factor 125*o**4 + 41*o**3 - 116*o**3 - g*o**2 + 13*o**2 + 4*o**2.
5*o**2*(5*o - 2)*(5*o - 1)
Let q(m) be the first derivative of -1/3*m**3 - 1/6*m**4 + 0*m**2 - 3 + 5*m. Let s(a) be the first derivative of q(a). Factor s(u).
-2*u*(u + 1)
Let w(t) be the third derivative of -t**7/490 - 19*t**6/70 - 1083*t**5/70 - 6859*t**4/14 - 130321*t**3/14 + 94*t**2. Factor w(q).
-3*(q + 19)**4/7
Let n = 7 + -2. Suppose -5*d - 17 = -7. Let f(o) = 4*o - 2. Let u(c) = -c**2 + 9*c - 5. Let q(s) = d*u(s) + n*f(s). Suppose q(i) = 0. Calculate i.
-1, 0
Let o(h) = -h**3 - 2*h**2 + 7*h. Let r be o(-4). Factor -15*l**2 - r - 18*l + 25/2*l**3.
(l - 2)*(5*l + 2)**2/2
Let u(a) be the second derivative of a**6/30 - a**5/10 - a**4/3 + 4*a**3/3 + a - 5. Let u(l) = 0. Calculate l.
-2, 0, 2
Suppose -4*v - 5*j + 136 - 35 = 0, 3*v - 4*j = 37. Let i = v + -16. Factor 2 + 2*t + 2*t**i - 12*t**3 - 2 + 8*t**2.
-2*t*(t - 1)*(5*t + 1)
Let t(u) = 74*u - 75. Let l(f) = 2*f**2 - 1. Let d(j) = -2*l(j) - 2*t(j). Factor d(v).
-4*(v - 1)*(v + 38)
Suppose 3*l = -2*v + 3*v - 12, -2*l = 8. Suppose 0 = -2*m - 5*b - 11, v*b - 19 = -5*m + 3*b. Let -11*p**2 + 12*p**2 + m*p + p**3 - 2*p**3 = 0. Calculate p.
-1, 0, 2
Let c be (-36)/27*(-84)/280. Factor -c*z**2 + 8*z - 40.
-2*(z - 10)**2/5
Solve 9/4*n**4 + 43/2*n**2 + 32*n - 65/4*n**3 - 8 = 0 for n.
-1, 2/9, 4
Suppose -2807*r = -2827*r + 17 + 23. Factor 24/5*p**r + 126/5*p + 6.
6*(p + 5)*(4*p + 1)/5
Let x(p) be the second derivative of -p**10/6048 - p**9/756 + 2*p**7/63 + p**6/9 - p**4/2 - 45*p. Let u(c) be the third derivative of x(c). Factor u(i).
-5*i*(i - 2)*(i + 2)**3
Let j be 5/2*(-680)/2375*(-40)/16. Suppose -6/19 + j*i + 12/19*i**2 = 0. Calculate i.
-3, 1/6
Let 5/2*r**4 + 45/2*r**3 + 50*r + 60*r**2 + 0 = 0. What is r?
-5, -2, 0
Suppose 0 = -0*b + 2*b - 4. Factor -7*g**3 + 3*g**3 - 2*g**4 + 0*g**4 - 2*g**b.
-2*g**2*(g + 1)**2
Suppose -4*k**2 + 10 + 6 - 131*k + 143*k = 0. Calculate k.
-1, 4
Suppose -4*i - 7 = -3*i + x, -2*x + 2 = 0. Let r = i + 12. Let -2/7*d**5 + 0 + 0*d**r + 4/7*d**3 - 2/7*d + 0*d**2 = 0. Calculate d.
-1, 0, 1
Find a, given that -244/5*a**3 + 96*a**2 - 228/5*a - 8/5 = 0.
-2/61, 1
Suppose -3*z + 2*p = -2*z - 10, -4*p - 12 = 0. Suppose 12*n**3 + z*n**3 - 5*n**2 + 5*n**5 - 15*n**4 - n**3 = 0. Calculate n.
0, 1
Let r(o) be the first derivative of -o**9/9072 + o**7/840 + o**6/540 + 17*o**3/3 - 2. Let i(c) be the third derivative of r(c). Solve i(z) = 0.
-1, 0, 2
Suppose -5*w = 5*l - 45, -8*l + 30 = 5*w - 6*l. Let z(o) be the second derivative of 0 - 1/27*o**3 + 2/9*o**2 - 1/54*o**w - 6*o. Suppose z(c) = 0. Calculate c.
-2, 1
Let s be 60/(-18) + 848/159. Let -2/3*i**s - 2/3 + 5/3*i = 0. What is i?
1/2, 2
Let c = -9157 - -9157. Let c + 8*w**3 - 10*w**5 - 8/3*w**2 + 2/3*w**4 + 0*w = 0. What is w?
-1, 0, 2/5, 2/3
Let q = 5 + -3. Determine i so that -18*i**q + 17*i - 6 - 3*i - 18 + 22*i + 3*i**3 = 0.
2
Let d be (8/16)/((-1)/2). Let m be (-3)/(4/(-8) + d). Suppose 32 - 8*v**m + 8*v**3 + 9*v**3 - 16*v - 13*v**3 = 0. What is v?
-2, 2
Suppose 3*z = -2*i + 33, -16 = -2*i + 2*z + 2. Let n = i + -2. Factor 21*y**3 + 55*y**2 + 29*y**3 + 30*y**3 + n*y - y**4 + 36*y**4.
5*y*(y + 1)**2*(7*y + 2)
Suppose 3*i = i + 10. Let u(v) be the second derivative of -1/24*v**4 + 1/168*v**7 + 0 - 5*v + 1/60*v**6 + 0*v**2 + 0*v**3 - 1/80*v**i. Factor u(p).
p**2*(p - 1)*(p + 1)*(p + 2)/4
Let d(k) be the third derivative of -k**6/210 + 2*k**5/35 - 2*k**4/7 + 16*k**3/21 + 72*k**2. Factor d(m).
-4*(m - 2)**3/7
Let g(v) be the first derivative of -v**6/120 - 3*v**5/80 + v**3/6 - 12*v + 12. Let n(o) be the first derivative of g(o). Factor n(s).
-s*(s - 1)*(s + 2)**2/4
Let l = 8585 - 17167/2. Factor 1/4*b**2 + l + 7/4*b.
(b + 1)*(b + 6)/4
Suppose 63 = 4*f + 47. Let g be 23/5 + f + -8. Suppose 6/5*m - g*m**2 - 3/5 = 0. Calculate m.
1
Let j(s) be the second derivative of -s**5/210 + s**4/84 - 13*s**2 - 31*s. Let d(p) be the first derivative of j(p). Factor d(u).
-2*u*(u - 1)/7
Solve -13*x - 6 + 0 - x**2 + 10*x - 2*x = 0 for x.
-3, -2
Let g(v) be the second derivative of v**6/90 + v**5/60 - v**4/12 - v**3/18 + v**2/3 - 57*v. Factor g(x).
(x - 1)**2*(x + 1)*(x + 2)/3
Let j(a) be the second derivative of -a**5/12 + 3*a**4/4 - 5*a**3/9 - 165*a + 2. Factor j(h).
-h*(h - 5)*(5*h - 2)/3
Let s(p) be the second derivative of p**6/135 + p**5/9 - 4*p**4/9 + 2*p + 2. Factor s(a).
2*a**2*(a - 2)*(a + 12)/9
Suppose 4*m + q - 16 = 0, -5*q + 11 = -3*m - 0*q. Let u be (4026/88)/(-61)*(-16)/6. Factor 0 - 1/2*t**u + 1/2*t**4 - 1/2*t**m + 1/2*t.
t*(t - 1)**2*(t + 1)/2
Let w = 21 - 18. Factor -221*m + 189*m - 4*m**w - 2 - 20*m**2 - 14.
-4*(m + 1)*(m + 2)**2
Let a = -11323/5 + 2265. Suppose 0 + 0*o + a*o**2 - 2/5*o**3 = 0. Calculate o.
0, 1
Let a(t) be the third derivative of 1/2*t**3 + 1/60*t**5 - 29*t**2 - 1/6*t**4 + 0 + 0*t. Let a(l) = 0. Calculate l.
1, 3
Suppose 20/11*x**3 + 0 + 2/11*x**4 + 28/11*x + 46/11*x**2 = 0. Calculate x.
-7, -2, -1, 0
Let c(x) be the third derivative of x**5/15 + 4*x**4/3 - 40*x**3/3 + 27*x**2. Factor c(n).
4*(n - 2)*(n + 10)
Let b(u) be the third derivative of 2/21*u**7 + 0 + 0*u**3 + 18*u**2 - 1/84*u**8 + 1/5*u**5 + 0*u**4 - 7/30*u**6 + 0*u. Find j such that b(j) = 0.
0, 1, 3
Let n(j) be the second derivative of j**7/168 + j**6/40 - 3*j**5/80 - 11*j**4/48 - j**3/4 - 141*j. Factor n(s).
s*(s - 2)*(s + 1)**2*(s + 3)/4
Factor -144/5 + 4/5*r**3 + 144/5*r**2 - 4/5*r.
4*(r - 1)*(r + 1)*(r + 36)/5
Let f(h) be the second derivative of -h**7/420 - h**6/60 + h**5/15 + 2*h**3 - 9*h - 3. Let t(w) be the second derivative of f(w). Factor t(c).
-2*c*(c - 1)*(c + 4)
Suppose 2*v - 6 = 0, 119*c - 115*c - 2*v - 2 = 0. Let g(w) be the first derivative of -3 + 1/6*w + 1/18*w**3 - 1/6*w**c. What is u in g(u) = 0?
1
Let k = -48 + 52. Factor 13*g**k - 4*g + 8*g**2 - 45*g**4 - 4 + 9*g**4 + 19*g**4 + 8*g**3 - 4*g**5.
-4*(g - 1)**2*(g + 1)**3
Suppose 69 = o + 55. Factor 1374 + 120*b**2 - 9*b**3 + o*b**3 + 1186 + 960*b.
5*(b + 8)**3
Suppose 0 = -2*u - 3*n + 9 - 4, 0 = 3*u - 2*n - 1. Let h be (0 + u)*(-1 - -3). Factor -2 - 4 + 3*p**h + 4 - 10.
3*(p - 2)*(p + 2)
Let u = -590 - -590. Let m(n) be the first derivative of -4 + 1/6*n**3 + u*n**2 + 1/8*n**4 + 0*n. Factor m(k).
k**2*(k + 1)/2
Let j(r) = -2*r**3 - 12*r**2 + 2*r + 14. Let x be j(-6). Solve -14*z + 12*z + 75*z**x + 26*z + 9*z**3 = 0.
-8, -1/3, 0
Factor -1/3*d**4 + 3*d**2 + 8/3*d**3 + 0*d + 0.
-d**2*(d - 9)*(d + 1)/3
Let n(u) be the first derivative of -u**7/210 + 2*u**5/15 + 5*u**3/3 + 22. Let r(m) be the third derivative of n(m). Determine t so that r(t) = 0.
-2, 0, 2
Let m be ((-11)/(4 + 29))/((-7)/54). Factor 2*r**2 + 2/7*r**5 + 10/7*r**4 + m*r**3 + 4/7*r + 0.
2*r*(r + 1)**3*(r + 2)/7
Let o(y) be t