u(b) = -3*b**4 - 9*b**3 - 5*b**2 + 5*b. Let f(c) = -5*t(c) - 4*u(c). Find v, given that f(v) = 0.
0, 2
Let r be 2/(-6)*(-1 + 1). Suppose -4*h - 3*j - 2*j + 6 = r, 0 = 2*j + 4. Suppose h*m**4 - m - 3*m**2 - 2*m**4 - 3*m**4 - 3*m**3 = 0. What is m?
-1, 0
Suppose z + 23 = 3*j, 2*j - 4*j - 4*z = 8. Let r = -2 + j. Factor -6*t**r - 2*t**2 - 4*t**3 + 4*t**2 + 8*t**4.
2*t**2*(t - 1)**2
Let w(k) be the first derivative of k**5/5 + k**4/2 - k**2 - k - 15. Suppose w(n) = 0. Calculate n.
-1, 1
Let d(h) be the first derivative of h**6/360 + h**5/30 + h**4/8 + 4*h**3/3 + 4. Let x(t) be the third derivative of d(t). Factor x(q).
(q + 1)*(q + 3)
Suppose 5*x + 3*a = 2*x + 12, 0 = 5*x - a - 2. Let g(i) be the first derivative of 0*i**2 + 0*i**3 - x + 0*i - 1/15*i**5 + 0*i**4 - 1/18*i**6. Factor g(l).
-l**4*(l + 1)/3
Let p be 2/(-4) + (-2 - 245/(-90)). Suppose -p*l + 0 + 2/9*l**2 = 0. Calculate l.
0, 1
Suppose 3*q + 9 = 2*r, -11 = -3*r + 3*q + 1. Suppose -2*g + 7*g = r*i + 25, 0 = 3*g - 4*i - 26. Suppose 0*m**2 + m + m**2 - 2*m**g = 0. Calculate m.
0, 1
Let q(y) be the third derivative of -1/240*y**5 + 2*y**2 + 0*y - 1/96*y**4 + 0*y**3 + 0. Factor q(c).
-c*(c + 1)/4
Factor -2*k**3 - 4*k**5 + 6*k**4 - 6*k**2 + 6*k**5 + 4*k**3 - 7*k + 3*k.
2*k*(k - 1)*(k + 1)**2*(k + 2)
Let w(s) be the first derivative of s + 2/3*s**3 + 3/2*s**2 + 2 - 3/5*s**5 - 1/6*s**6 - 1/2*s**4. Factor w(f).
-(f - 1)*(f + 1)**4
Let y(m) be the third derivative of 0*m**3 + 0*m + 0*m**4 - 1/180*m**6 - 1/210*m**7 - 5*m**2 - 1/1008*m**8 + 0*m**5 + 0. Solve y(d) = 0.
-2, -1, 0
Let h(t) be the second derivative of t**5/180 + t**4/36 - t**2/2 + t. Let k(u) be the first derivative of h(u). Let k(x) = 0. What is x?
-2, 0
Solve -9*m - 2*m - 26*m**3 + 2 + 30*m**2 + 4*m**4 - 3*m + 4*m**4 = 0 for m.
1/4, 1
Let m(y) be the first derivative of -3*y**6/40 + 3*y**5/10 - y**4/2 + 5*y**3/3 + 1. Let t(w) be the third derivative of m(w). Suppose t(d) = 0. What is d?
2/3
Let l be -1*(2 + -1) + 4. Let c = 9 + -6. Factor c*f**l + f**3 - 2 + 0 + 6*f**2.
2*(f + 1)**2*(2*f - 1)
Let c = -438/7 + 66. Determine o so that 3*o**2 - 12/7*o**5 + 3/7 + 15/7*o - 3/7*o**3 - c*o**4 = 0.
-1, -1/2, 1
Determine l, given that 2/3 - 14/3*l**4 - 16/3*l**3 + 4/3*l - 4/3*l**5 - 4/3*l**2 = 0.
-1, 1/2
Let j(z) be the first derivative of -3*z**4/4 - 4*z**3 - 15*z**2/2 - 6*z - 2. Factor j(o).
-3*(o + 1)**2*(o + 2)
Let f(i) = -i**3 - 2*i**2 + 2*i + 1. Let q be f(-3). Solve -5*l**4 + 4*l**2 - 5*l**2 - l**q - l**2 - 2*l**5 - 6*l**3 = 0.
-1, 0
Let l(d) be the third derivative of -d**6/720 + d**5/120 - d**4/48 + d**3/36 - d**2. Find r such that l(r) = 0.
1
Let o(r) be the second derivative of 0 - 2/5*r**2 - 1/15*r**3 + r + 1/30*r**4. Factor o(q).
2*(q - 2)*(q + 1)/5
Let o(t) be the second derivative of -1/42*t**7 + 1/12*t**4 + 0*t**2 + 1/20*t**5 - 2*t + 0*t**3 + 0 - 1/30*t**6. Suppose o(z) = 0. What is z?
-1, 0, 1
Suppose -u = 3*v + 2*v - 9, v - 9 = -u. Let l = u + -6. Factor -4/9*h + 2/9 - 2/9*h**4 + 0*h**2 + 4/9*h**l.
-2*(h - 1)**3*(h + 1)/9
Let z(q) be the third derivative of q**9/15120 - q**8/1344 + q**7/360 - q**6/240 - 5*q**4/24 - 6*q**2. Let x(f) be the second derivative of z(f). Factor x(r).
r*(r - 3)*(r - 1)**2
Factor 0 + 1/7*f**4 + 0*f + 1/7*f**3 - 2/7*f**2.
f**2*(f - 1)*(f + 2)/7
Let s(v) be the first derivative of -v**5/40 - 3*v**4/16 - 13*v**3/24 - 3*v**2/4 - v/2 + 6. Factor s(j).
-(j + 1)**2*(j + 2)**2/8
Let k(y) = 3*y**4 + y**3 + y**2 - 5*y. Let x(t) = -t**4 - t**3 - t**2 + t. Let o(d) = k(d) + 4*x(d). What is i in o(i) = 0?
-1, 0
Let s(h) be the first derivative of -h**5 + 5*h**3/3 + 4. Factor s(i).
-5*i**2*(i - 1)*(i + 1)
Suppose 0*l = -5*m - 4*l + 22, 2*l = -5*m + 16. Factor -3/5 + 3/5*u**3 + 9/5*u - 9/5*u**m.
3*(u - 1)**3/5
Let t = 1 + 5. Suppose -4*x + 22 = 5*y, t*x = -y + 3*x + 11. Suppose 2/7 + 2/7*v**4 + 8/7*v + 8/7*v**3 + 12/7*v**y = 0. What is v?
-1
Let u(x) be the second derivative of 0*x**2 - 2*x - 1/36*x**4 + 1/18*x**3 + 0 - 1/60*x**5 + 1/90*x**6. Factor u(w).
w*(w - 1)**2*(w + 1)/3
What is t in 137*t - 4*t**2 - 134*t + 6 + t**2 = 0?
-1, 2
Let k(x) be the first derivative of 3*x**5/20 + 3*x**4/4 + 3*x**3/4 + 2. Factor k(o).
3*o**2*(o + 1)*(o + 3)/4
Suppose 0 = -x - 5*d - 6, -4*x - 35 + 11 = 2*d. Let z = -4 - x. Factor f**3 + 2*f**4 + 0*f**2 - 2*f**2 - 3*f**3 + z*f.
2*f*(f - 1)**2*(f + 1)
Let q(l) = 5*l**2 + 7*l + 2. Let p(j) = 4 + 14*j**2 + 0 + 5 + 20*j - 3. Let d(g) = -3*p(g) + 8*q(g). Factor d(b).
-2*(b + 1)**2
Let q(t) = 8*t - 1 - t**2 + t - 4. Let c be q(8). Factor 2*y - 4*y**c - y + 3*y**3.
-y*(y - 1)*(y + 1)
Let t(y) be the second derivative of y**4/84 - 2*y**3/21 + 2*y**2/7 + y - 2. Factor t(x).
(x - 2)**2/7
Factor 3/2 - 9/2*v**2 + 3*v.
-3*(v - 1)*(3*v + 1)/2
Let p(b) = b**5 + b**3 + b**2 - b. Let y(m) = -5*m**5 - 9*m**3 - 8*m**2 + 6*m. Suppose -3*j - 4 = -1. Let s(o) = j*y(o) - 6*p(o). Factor s(v).
-v**2*(v - 2)*(v + 1)**2
Let o be (6/20)/(27/18648). Let v = 208 - o. Factor v + 2*r - 2*r**3 - 4/5*r**2.
-2*(r - 1)*(r + 1)*(5*r + 2)/5
Let k(g) be the third derivative of 2*g**7/105 - g**6/5 + 13*g**5/15 - 2*g**4 + 8*g**3/3 - 10*g**2. Find z such that k(z) = 0.
1, 2
Let i be 0 - (-5)/((-420)/(-212)). Let c = i + 29/7. Determine f, given that 2/3 + 20/3*f**3 + 2/3*f**5 + 10/3*f + c*f**2 + 10/3*f**4 = 0.
-1
Let p be 3 - ((-8)/(-2) - 1). Let g(k) be the first derivative of 1/6*k**3 + 1/4*k**2 + p*k + 2. Factor g(r).
r*(r + 1)/2
Let l(c) be the third derivative of -c**5/15 + c**4 - 6*c**3 + 5*c**2. Determine g, given that l(g) = 0.
3
Let v(j) be the first derivative of j**7/420 - 7*j**6/720 + j**5/72 - j**4/144 + j**2 - 7. Let h(i) be the second derivative of v(i). Factor h(r).
r*(r - 1)**2*(3*r - 1)/6
Let q(g) = -7*g**5 + 3*g**4 + 16*g**3 + 8*g**2 - 15*g - 11. Let l(n) = -n**5 + n**3 + n**2 - n - 1. Let z(v) = 6*l(v) - q(v). Find h such that z(h) = 0.
-1, 1, 5
Let b(n) be the first derivative of -n**6/27 - 2*n**5/9 - n**4/6 + 10*n**3/27 + 4*n**2/9 + 29. Suppose b(q) = 0. What is q?
-4, -1, 0, 1
Let g(m) be the second derivative of -3*m**5/20 + 7*m**4/12 - m**3/3 + 2*m. Let g(d) = 0. What is d?
0, 1/3, 2
Let t(j) = 10*j**2 - 24*j + 48. Let c(b) = 7*b**2 - 16*b + 32. Let u(m) = -7*c(m) + 5*t(m). Factor u(s).
(s - 4)**2
Let j(q) = -34*q**3 - 101*q**2 - 59*q + 5. Let v(k) = -102*k**3 - 302*k**2 - 176*k + 16. Let d(c) = 8*j(c) - 3*v(c). Factor d(b).
2*(b + 1)*(b + 2)*(17*b - 2)
Suppose 0 = -5*w + 3*z - 244 - 75, 4*z = 4*w + 260. Let o = 249/4 + w. Factor 0*c + 0*c**2 + 0 + o*c**3.
c**3/4
Let l(k) = 5*k**5 + k**3 - 4*k**2 - 2. Let g(t) = -t**5 + t**4 - t**3 + 1. Let z = -6 - -5. Let x(u) = z*l(u) - 3*g(u). Suppose x(i) = 0. Calculate i.
-1, 1/2, 1
Let o(p) be the second derivative of p**2 + 0 - 1/10*p**5 - 2*p + 1/3*p**3 - 1/6*p**4. Let o(f) = 0. What is f?
-1, 1
Let f(x) be the third derivative of -x**8/588 + x**7/147 - x**6/105 + x**5/210 + 7*x**2. Factor f(d).
-2*d**2*(d - 1)**2*(2*d - 1)/7
Let r(q) be the first derivative of -25*q**6/12 + q**5/2 + 41*q**4/8 - q**3/6 - 4*q**2 - 2*q - 6. Let r(o) = 0. What is o?
-1, -2/5, 1
Factor -3/5*z**2 + 3/5*z**4 - 6/5*z + 0 + 6/5*z**3.
3*z*(z - 1)*(z + 1)*(z + 2)/5
Suppose 3*s - 2*s - 12 = 0. Suppose 5*c - 2*y - s = 0, 5*c - 8 = -0*c - 2*y. Let 3*h**5 - 2*h**2 - 2*h - c*h**5 + h + 2*h**4 = 0. What is h?
-1, 0, 1
Factor 3*f**2 - 5*f - 2 - 4*f**2 + 2*f.
-(f + 1)*(f + 2)
Let v = 4132/3 + -1377. Solve 1/3*g + 2/3 - v*g**2 = 0.
-1, 2
Let w(v) be the second derivative of v**8/7560 - v**6/810 + v**4/108 + v**3/3 - v. Let n(x) be the second derivative of w(x). Factor n(b).
2*(b - 1)**2*(b + 1)**2/9
Let z(t) be the third derivative of t**7/3780 + t**6/270 + t**5/45 + t**4/6 + 2*t**2. Let a(i) be the second derivative of z(i). What is j in a(j) = 0?
-2
Suppose -5*r + f = -5, r + 0*f - 4*f = -18. Factor 6*b + 0 + 1 - r*b**3 + 5 - 2.
-2*(b - 2)*(b + 1)**2
Let g(d) be the second derivative of d**6/285 + d**5/38 + 4*d**4/57 + 4*d**3/57 + 20*d. Determine j, given that g(j) = 0.
-2, -1, 0
Determine p, given that -1/2*p**4 + p - p**3 + 1/2 + 0*p**2 = 0.
-1, 1
Let s(f) be the third derivative of -f**6/360 - f**5/60 - f**3/6 + 2*f**2. Let j(u) be the first derivative of s(u). Factor j(n).
-n*(n + 2)
Let o(i) be the third derivative of i**5/15 - i**4/6 + 20*i**2. Factor o(g).
4*g*(g - 1)
Let p(x) 