= -3*b + 8, 2*b = 3*s + 2. Determine d so that 0*d - d - d + 2*d**s + 0*d = 0.
0, 1
Factor 2*w + 3 - 1 - 2 + w**2 + 1.
(w + 1)**2
Let i(v) = -2*v**4 + 17*v**3 - 35*v**2 + 31*v - 11. Let u(k) = 4*k**4 - 35*k**3 + 69*k**2 - 61*k + 23. Let c(q) = -15*i(q) - 6*u(q). Factor c(a).
3*(a - 3)**2*(a - 1)*(2*a - 1)
Find v such that -152*v**3 - 10 + 42*v**2 + 50*v**4 + 2 + 16*v + 52*v**3 = 0.
-2/5, 2/5, 1
Let p = 2 - -2. Factor 2*r**p + 2*r**5 + 3*r**4 - 7*r**4.
2*r**4*(r - 1)
Let k(m) be the first derivative of m**8/144 + 19*m**7/630 + m**6/24 + m**5/180 - m**4/36 + m**2/2 + 2. Let h(q) be the second derivative of k(q). Factor h(p).
p*(p + 1)**3*(7*p - 2)/3
Let x(u) be the first derivative of u**6/135 + u**5/30 + u**4/27 - 5*u - 7. Let i(w) be the first derivative of x(w). Find c, given that i(c) = 0.
-2, -1, 0
Let y(u) be the first derivative of -u**6/15 + u**4/6 - 2*u - 2. Let r(a) be the first derivative of y(a). Factor r(k).
-2*k**2*(k - 1)*(k + 1)
Let 0 + 6/5*o**2 - 6/5*o**3 + 12/5*o = 0. What is o?
-1, 0, 2
Let f(r) = -3*r**2 - 18*r + 58. Let j(u) = 5*u**2 + 35*u - 115. Let s(t) = -5*f(t) - 2*j(t). Factor s(y).
5*(y - 2)*(y + 6)
Let q(y) be the first derivative of -y**3/3 - 17. Factor q(l).
-l**2
Let y(i) = -3*i**5 + 16*i**4 - 8*i**3 - 5*i**2 + 5*i. Let z(n) = -8*n**5 + 40*n**4 - 20*n**3 - 12*n**2 + 12*n. Let x(f) = -12*y(f) + 5*z(f). Factor x(c).
-4*c**3*(c - 1)**2
Suppose 2*q - 5/4*q**2 - 1 + 1/4*q**3 = 0. What is q?
1, 2
Let p = -15 - -15. Let z(t) be the second derivative of 3*t + 2/3*t**2 + 1/18*t**4 + 1/3*t**3 + p. Factor z(w).
2*(w + 1)*(w + 2)/3
Factor -2/9*h**2 + 2/9*h + 0.
-2*h*(h - 1)/9
Suppose -2 = -2*q - 0*q. Determine p, given that 0*p + q + 2*p**2 - 1 - 2*p = 0.
0, 1
Let i = -9 + 11. Suppose w + 3*w - 3 = -h, 3*h = i*w + 9. Factor -1/5*x - 1/5*x**2 + w.
-x*(x + 1)/5
Let c = 55/126 + 1/126. Suppose -8/9*k + 16/9 + 2/9*k**3 - c*k**2 = 0. What is k?
-2, 2
Suppose 4*z = 30 + 70. Suppose 25 = 4*q - 19. Let 10*s**3 - 3*s - z*s**5 - s - q*s**3 + 30*s**3 = 0. What is s?
-1, -2/5, 0, 2/5, 1
Let f(g) be the second derivative of 5*g**7/273 + 2*g**6/65 - 2*g**5/65 - g**4/13 - g**3/39 + 14*g. Find n, given that f(n) = 0.
-1, -1/5, 0, 1
Find o, given that 2*o**4 + 0 + 28/3*o**3 + 4*o + 34/3*o**2 = 0.
-3, -1, -2/3, 0
Let j(s) be the third derivative of s**5/15 - s**4/2 + 4*s**3/3 + 7*s**2. Factor j(w).
4*(w - 2)*(w - 1)
Let j(x) be the first derivative of -1/3*x**3 + 3/2*x**2 + 2 - 2*x. Let j(n) = 0. What is n?
1, 2
Let l(j) be the first derivative of 4*j**3/3 - 16*j**2 + 64*j - 1. Solve l(o) = 0.
4
Suppose 0 = -f + 2*o - 1, -6*o - 13 = -2*f - 7*o. Let n(x) be the second derivative of 0 + f*x - 9/7*x**2 + 2/7*x**3 - 1/42*x**4. Determine s so that n(s) = 0.
3
Let l(y) be the second derivative of 0 + 8*y - 1/21*y**4 - 4/21*y**3 + 0*y**2. Factor l(u).
-4*u*(u + 2)/7
Let m(h) be the second derivative of -h**5/30 + h**3/3 - 2*h**2/3 + 9*h. Factor m(u).
-2*(u - 1)**2*(u + 2)/3
Let o(x) be the third derivative of -x**6/16 - 3*x**5/40 + 3*x**4/4 - x**3 + 11*x**2. Find z such that o(z) = 0.
-2, 2/5, 1
Let a = 2 - -5. Suppose c + 4*l + 16 = 0, -3*l = 2*c + 5 + a. Determine u so that 2/3*u + c - u**2 - 5/3*u**3 = 0.
-1, 0, 2/5
Let f(o) be the third derivative of -o**7/175 - o**6/300 + o**5/50 + o**4/60 - 10*o**2. What is x in f(x) = 0?
-1, -1/3, 0, 1
Let l be 2/3*48/32. Let k(w) be the first derivative of -l + 0*w - 14/15*w**3 + 2/5*w**2. Find z, given that k(z) = 0.
0, 2/7
Suppose 2*t - 6 = g, -3*g + 9 = -5*t + 24. Let g*x + 2/9*x**2 + 0 = 0. What is x?
0
Let q(c) = 6*c**4 + 4*c**3 - 4*c**2 - 4*c - 2. Let d = 8 - 3. Let v(n) = -7*n**4 - 5*n**3 + 4*n**2 + 5*n + 3. Let s(p) = d*q(p) + 4*v(p). Factor s(u).
2*(u - 1)**2*(u + 1)**2
Let t = 3/47 + 32/235. Let 3/5*k**3 + 4/5*k**4 - t*k**2 + 0*k + 0 = 0. What is k?
-1, 0, 1/4
Let z(v) be the second derivative of -3*v**5/140 + v**4/28 + v**3/7 + 28*v. Determine p, given that z(p) = 0.
-1, 0, 2
Factor 0*i**2 + 2/3*i**5 + 0*i + 0 - 4/3*i**4 + 2/3*i**3.
2*i**3*(i - 1)**2/3
Suppose 2*m + 3*m = 0. Let r(i) be the second derivative of -i**2 - 5/24*i**4 + 3/20*i**6 + i**3 + m - i - 3/10*i**5. Solve r(h) = 0 for h.
-1, 2/3, 1
Suppose -15 = 3*j, 5*j - 13 = 4*d - 46. Suppose l = v + 2, 0*v - d*l - 5 = -5*v. Factor f**4 + 0 - 1/2*f**v + 0*f**2 + 0*f - 1/2*f**5.
-f**3*(f - 1)**2/2
Let n = 18 + -15. Find o such that -2 + 4 - n*o**2 + 1 = 0.
-1, 1
Let x be (-29)/87 + 2/((-2)/(-3)). Factor 0 - x*s**2 - 2/3*s**5 - 8/3*s**4 - 2/3*s - 4*s**3.
-2*s*(s + 1)**4/3
Let d(t) be the second derivative of -t**6/35 + 2*t**5/35 + t**4/6 - 4*t**3/21 - 4*t**2/7 + 3*t. Suppose d(z) = 0. What is z?
-1, -2/3, 1, 2
Let h(r) be the first derivative of -r**4/16 - r**3/6 - r**2/8 + 1. Solve h(u) = 0.
-1, 0
Suppose -3*o + 0*o - 16 = -l, -5*l - 4*o + 4 = 0. Let f(m) be the first derivative of -2/5*m - 2/5*m**l - 2/25*m**5 - 4/5*m**3 - 1 - 4/5*m**2. Factor f(u).
-2*(u + 1)**4/5
Let -2*g**3 - g**5 + 2*g**5 + 2*g - g = 0. What is g?
-1, 0, 1
Let q(t) be the third derivative of -t**5/15 + 3*t**4/2 + 20*t**3/3 - 48*t**2. Factor q(n).
-4*(n - 10)*(n + 1)
Let s(n) be the first derivative of -n**3/18 - 4*n**2/3 - 32*n/3 + 1. Factor s(x).
-(x + 8)**2/6
Let k(o) be the second derivative of o**6/36 + o**5/20 - o**4/6 - o**3/3 + o. Let n(j) be the second derivative of k(j). Let n(u) = 0. Calculate u.
-1, 2/5
Let b(l) = -10*l**5 - 24*l**4 - 24*l**3 - 8*l**2 - 2*l. Let m(w) = -20*w**5 - 47*w**4 - 48*w**3 - 17*w**2 - 5*w. Let a(c) = -9*b(c) + 4*m(c). Factor a(h).
2*h*(h + 1)**3*(5*h - 1)
Let l = -37 + 32. Let s be (-1)/l - (-42)/90. Suppose -s + 7/3*h**2 - 5/3*h = 0. Calculate h.
-2/7, 1
Let u be (64/18)/(-2) + 2. Let a = 29/3 + -9. Factor u*j**2 - a*j + 4/9.
2*(j - 2)*(j - 1)/9
Let b(t) be the third derivative of -10*t**2 + 1/20*t**5 + 0*t - t**3 - 1/8*t**4 + 0. Find g such that b(g) = 0.
-1, 2
Let s(d) be the third derivative of -d**5/300 - d**4/40 + 24*d**2. Factor s(w).
-w*(w + 3)/5
Let x(a) be the first derivative of -2*a**6/27 - 14*a**5/45 - a**4/2 - 10*a**3/27 - a**2/9 + 1. Determine y, given that x(y) = 0.
-1, -1/2, 0
Let g = 113/2328 - 2/291. Let f(c) be the second derivative of 0*c**2 + 0 + g*c**6 + 1/24*c**4 - 7/80*c**5 - 2*c + 0*c**3. Factor f(w).
w**2*(w - 1)*(5*w - 2)/4
Let s(t) = t**3 + 14*t**2 - 15*t + 2. Let n be s(-15). Factor -u**3 + 1/2*u**n + 1/2*u**4 + 0 + 0*u.
u**2*(u - 1)**2/2
Let r(c) be the first derivative of -c**2/2 - c - 3. Let n(s) = -s**2 + 1. Let b(l) = -4*n(l) + 4*r(l). Factor b(t).
4*(t - 2)*(t + 1)
Factor -16/7 - 20/7*m**3 - 16/7*m + 52/7*m**2.
-4*(m - 2)*(m - 1)*(5*m + 2)/7
Let a be 0 - (2 + (-296)/30). Let q = a + -23/3. Factor 3/5*s**3 + q*s - s**2 + 1/5.
(s - 1)**2*(3*s + 1)/5
Let i = 65 - 259/4. Let q(u) be the first derivative of -i*u**4 + u + 1/2*u**2 + 1 - 1/3*u**3. Let q(w) = 0. Calculate w.
-1, 1
Let s(k) be the third derivative of k**9/151200 - k**8/50400 - 2*k**5/15 + 8*k**2. Let n(b) be the third derivative of s(b). Let n(l) = 0. Calculate l.
0, 1
Let o(l) be the third derivative of 1/20*l**6 - 1/8*l**4 + 0 + 0*l - 1/70*l**7 + 1/10*l**5 + l**2 - 1/112*l**8 - 1/2*l**3. Factor o(r).
-3*(r - 1)**2*(r + 1)**3
Let u(o) be the third derivative of o**7/840 + o**6/160 + o**5/240 - o**4/32 - o**3/12 + 22*o**2. Factor u(j).
(j - 1)*(j + 1)**2*(j + 2)/4
Let o(w) be the first derivative of -5*w**3/9 - 5*w**2/2 + 20*w/3 + 3. Determine u, given that o(u) = 0.
-4, 1
Let q(f) be the second derivative of f + 1/6*f**4 + 0*f**2 - 1/3*f**3 + 0. Factor q(m).
2*m*(m - 1)
Let t(y) = 29*y**3 + 6*y**2 - 17*y + 17. Suppose -2 - 1 = -s. Let h(z) = 5*z - 3 - z**2 - 8*z**3 - 2*z + 3*z**s. Let v(m) = -34*h(m) - 6*t(m). Factor v(k).
-2*k**2*(2*k + 1)
Let t(w) = -10*w + 2. Let d be t(2). Let j be 6/(-10) - d/30. Determine o, given that j*o**2 + 0 + 0*o**3 + 0*o - 2/5*o**4 = 0.
0
Let o = -258 + 11611/45. Let t(f) be the third derivative of -1/36*f**4 - 1/180*f**6 + 0*f**3 + 0*f + o*f**5 + 0 - 3*f**2. Factor t(b).
-2*b*(b - 1)**2/3
Let h(l) be the third derivative of l**5/60 + l**4/4 + 3*l**3/2 + 13*l**2. Suppose h(i) = 0. Calculate i.
-3
Solve -20*r - 12 - 9*r**3 + 3*r + 2*r + 9 - 21*r**2 = 0 for r.
-1, -1/3
Factor 8/5*j - 8/5 - 2/5*j**2.
-2*(j - 2)**2/5
Let s = 30/7 + -4. Factor 2/7*n - 2/7*n**3 + 0 - s*n**4 + 2/7*n**2.
-2*n*(n - 1)*(n + 1)**2/7
Let