8*b**3 + 8 + 2*b**5 - 4*b - 4 - 2*b**2 + 6*b**2 = 0.
-1, 1, 2
Suppose 5*n = 3*b - 8*b, 2*n = -4*b. Solve 12*p + 15*p**3 + n*p + 8*p**2 - 32*p**2 - 2*p**4 - p**4 = 0 for p.
0, 1, 2
Factor 0 - 2/3*t**3 + 1/3*t**2 + 2/3*t - 1/3*t**4.
-t*(t - 1)*(t + 1)*(t + 2)/3
Let a(x) be the second derivative of 0*x**3 + 1/7*x**2 - 1/21*x**4 + 0*x**5 + 0 + 1/105*x**6 + x. Suppose a(u) = 0. Calculate u.
-1, 1
Let d(y) be the first derivative of y**5/5 - y**3/3 + 6. Suppose d(l) = 0. Calculate l.
-1, 0, 1
Let j be (2 - -2) + 6 + -7. Suppose 0 = 2*s + 3*s. Factor -k**3 + 2*k**2 + s*k**j - 10 + 10.
-k**2*(k - 2)
Let c(j) be the second derivative of -j**9/6048 + j**8/6720 + j**7/1680 - j**6/1440 + j**3/2 - j. Let t(h) be the second derivative of c(h). Solve t(a) = 0.
-1, 0, 1/2, 1
Let c(l) be the second derivative of -l**6/120 + l**5/40 - l**3/12 + l**2/8 + 12*l. What is y in c(y) = 0?
-1, 1
Let l = 9 + -3. Factor -l*h**3 + 3*h**3 + h**2 + 2*h**3 + 2*h.
-h*(h - 2)*(h + 1)
Suppose 32 = w + d, -5*d + 26 = w - 26. Let 6*l - 21*l**2 - w*l - 11*l**3 - 6 + 5*l**3 = 0. What is l?
-2, -1, -1/2
Let v(a) = -3*a**3 - 5*a**2 - a + 4. Let n(z) = 2*z**3 + 4*z**2 + 2*z - 4. Let m = 20 - 11. Let g = -5 + m. Let l(y) = g*v(y) + 5*n(y). Solve l(o) = 0.
-2, 1
Let n(q) = 2*q**4 + q**3 + 2*q**2 + 6*q - 3. Let y(w) = 11*w**4 + 6*w**3 + 13*w**2 + 35*w - 17. Let f(o) = 34*n(o) - 6*y(o). Suppose f(t) = 0. What is t?
-1, 0, 3
Let l(v) be the first derivative of -v**4/14 - 2*v**3/7 - 3*v**2/7 - 2*v/7 - 5. Factor l(q).
-2*(q + 1)**3/7
Suppose -i + 13 = 9, 12 = 2*v + 2*i. Factor 17/4*p - 1/2 + 4*p**3 - 10*p**v.
(p - 2)*(4*p - 1)**2/4
Let x(d) be the second derivative of d**4/3 + 8*d. Factor x(u).
4*u**2
Let m(v) be the second derivative of -34/45*v**6 - 2/3*v**2 - 28/15*v**5 - 16/9*v**3 + 0 - 22/9*v**4 - 2*v - 8/63*v**7. Factor m(u).
-4*(u + 1)**4*(4*u + 1)/3
Let b(f) be the first derivative of f**6/90 - f**5/24 + f**4/24 + 2*f**3/3 - 4. Let s(q) be the third derivative of b(q). Suppose s(k) = 0. What is k?
1/4, 1
Let o(i) = -i**3 + 8*i**2 + i - 6. Let v be o(8). Factor -1/2*h**3 - 1 - 2*h**v - 5/2*h.
-(h + 1)**2*(h + 2)/2
Let d(i) = i**2 + 4*i - 1. Let r be d(-5). Suppose 3*g**r - 4*g**3 + 4*g - g - 7*g**2 + 4*g**2 + g**3 = 0. Calculate g.
-1, 0, 1
Let a(l) be the first derivative of -7*l - 7 + 4 + 4 - 2*l**3. Let g(k) = k**2 + 1. Let j(v) = -2*a(v) - 14*g(v). Let j(o) = 0. Calculate o.
0
Let w be ((-2)/(-6))/(9/54). Let c(q) be the first derivative of -1/6*q**6 + 0*q - 1/3*q**3 + 1/4*q**4 + 0*q**2 + w + 1/5*q**5. Find k such that c(k) = 0.
-1, 0, 1
Factor -3*m**2 + 2*m**2 - m**3 + 4*m**3 + 4*m**2.
3*m**2*(m + 1)
Let n = -19 - -19. Let u(i) be the second derivative of -1/18*i**4 + 1/60*i**5 + n + 0*i**2 + 1/18*i**3 - i. Factor u(c).
c*(c - 1)**2/3
Let k(n) be the first derivative of 2*n**3/9 - n**2/3 - 6. Suppose k(f) = 0. What is f?
0, 1
Let b(q) be the third derivative of -q**8/140 - q**7/21 + q**5/10 - q**4/15 + 31*q**2. Determine c, given that b(c) = 0.
-4, -1, 0, 1/3, 1/2
Let w be (-13)/52 + (-1)/(120/(-34)). Let g(j) be the first derivative of -3/20*j**4 + 3/25*j**5 + 0*j**2 + 1 + 1/15*j**3 - w*j**6 + 0*j. Factor g(p).
-p**2*(p - 1)**3/5
Let k(i) be the first derivative of 1/5*i - 1/10*i**2 + 1/20*i**4 - 1/15*i**3 + 2. Factor k(c).
(c - 1)**2*(c + 1)/5
Suppose j - z + 1 = -1, 2*j = 3*z + 1. Let y = j + 10. Let 6*t - 12*t**3 + 14*t**4 - 2*t + 6*t**2 - 12*t**y = 0. What is t?
-2/7, 0, 1
Let a(v) = -v**2 - 17*v + 62. Let n be a(-20). Factor -1/4*i**n - 1/4*i**3 + 1/4 + 1/4*i.
-(i - 1)*(i + 1)**2/4
Let k(h) be the first derivative of -h**3/3 + h - 70. Solve k(n) = 0.
-1, 1
Let c(p) be the first derivative of p**6/9 - 2*p**5/3 + p**4/2 + 10*p**3/9 - 4*p**2/3 - 23. Let c(i) = 0. Calculate i.
-1, 0, 1, 4
Factor -2/7*q**4 + 0 + 4/7*q**3 - 2/7*q**2 + 0*q.
-2*q**2*(q - 1)**2/7
Let h(t) = 5*t**2 + t. Let r be h(-1). Suppose -7*y = -r*y - 9. Let -3*c**y - 9*c**4 + 8*c**2 + 3*c - c + 2*c = 0. Calculate c.
-2/3, 0, 1
Let m(o) = -9*o**4 - 3*o**3 + 24*o**2 - 20*o. Let d(j) = -6*j**4 - 2*j**3 + 16*j**2 - 13*j. Let h(l) = -8*d(l) + 5*m(l). Factor h(n).
n*(n - 1)*(n + 2)*(3*n - 2)
Let w(p) be the first derivative of -2*p**5/25 + 3*p**4/10 - 4*p**2/5 + 19. Factor w(v).
-2*v*(v - 2)**2*(v + 1)/5
Let a = -15 - -19. Let t be (a + (-2 - 1))/3. Factor 0 + t*k**5 - k**3 + 1/3*k**4 - 1/3*k**2 + 2/3*k.
k*(k - 1)**2*(k + 1)*(k + 2)/3
Let i(h) be the third derivative of h**8/224 + h**7/56 + h**6/80 - h**5/20 - h**4/8 - h**3/8 - 2*h**2. Solve i(b) = 0.
-1, -1/2, 1
Suppose 3*t + 8 = -2*r, 3*r - t - 10 = -0. Suppose -r*a + 12 = b, 0 = 5*b + 4*a - a - 32. Factor 3*q**2 + 3*q**5 + q**4 - q**3 - 2*q**5 - b*q**2.
q**2*(q - 1)*(q + 1)**2
Let t = 1387 + -1384. Solve -2/15*b**t - 4/15 + 2/15*b**4 + 2/3*b - 2/5*b**2 = 0 for b.
-2, 1
Let q = -382 - -5732/15. Let i(h) be the first derivative of 0*h**2 + 0*h + 1/18*h**6 - 1 + 1/12*h**4 - q*h**5 + 0*h**3. Factor i(x).
x**3*(x - 1)**2/3
Let d(r) = -22*r**3 + 54*r**2 - 24*r - 2. Let p = -26 - -37. Let k(f) = -44*f**3 + 107*f**2 - 49*f - 3. Let o(q) = p*d(q) - 6*k(q). Factor o(m).
2*(m - 1)**2*(11*m - 2)
Let m(t) = -t - 1. Let x(i) = i**2 + 11*i + 35. Let n(f) = -m(f) + x(f). Factor n(k).
(k + 6)**2
Let f be (-44)/(-48) - 10/15. Let a = 3 - -1. Solve -5/2*v**a - f*v**3 + 0*v - 2*v**5 + 1/4*v**2 + 0 = 0 for v.
-1, -1/2, 0, 1/4
Factor -2*l**2 + l**2 - l**2.
-2*l**2
Let c(r) = r**2 - 9*r + 8. Let s be c(8). Let f(o) be the first derivative of 1/3*o**3 + 1 + 1/4*o**2 - 1/12*o**6 - 1/5*o**5 + 0*o**4 + s*o. Factor f(z).
-z*(z - 1)*(z + 1)**3/2
Let r(w) be the third derivative of -w**7/420 + w**6/90 + w**3/6 - w**2. Let l(m) be the first derivative of r(m). Factor l(i).
-2*i**2*(i - 2)
Suppose 4*j + 33 - 93 = 0. Let p = j + -13. Factor -2/5*a**4 + 0*a + 2/5*a**p + 2/5*a**3 - 2/5*a**5 + 0.
-2*a**2*(a - 1)*(a + 1)**2/5
Factor 0*h + 5/2*h**3 + 0 + h**2 + 2*h**4 + 1/2*h**5.
h**2*(h + 1)**2*(h + 2)/2
Let u(p) be the first derivative of 4/5*p**2 + 3 - 8/15*p**3 + 0*p + 6/25*p**5 - 1/2*p**4. Solve u(o) = 0.
-1, 0, 2/3, 2
Find g, given that 60 + 3/5*g**2 + 12*g = 0.
-10
Let h be ((-12)/(-42))/(4/194). Let j = -607/63 + h. Solve -10/3*n**2 - 2/9*n - j*n**3 + 4/9 - 14/9*n**4 = 0.
-1, 2/7
Let j(o) = -o**2 + 9*o. Let w be j(9). Let g be w + (-3 + 4 - 1). Factor g*f**3 + 0*f - 1/4*f**4 + 1/2*f**2 - 1/4.
-(f - 1)**2*(f + 1)**2/4
Let c(a) = -a**2 - 15*a + 15. Let r(t) = -14*t + 16. Let n(h) = 2*c(h) - 3*r(h). Factor n(i).
-2*(i - 3)**2
Let t = 25 - 22. Suppose 5*z - 3 = -3*y, 0 = 3*y - 0*y - 3. Factor z - 1/2*s**2 - 1/4*s - 1/4*s**t.
-s*(s + 1)**2/4
Let o(s) be the second derivative of -s**4/3 + 2*s**3/3 + 4*s**2 - 48*s. Determine r, given that o(r) = 0.
-1, 2
Let v be 5430/50*(-4)/(-6). Let t = v - 72. Factor 2/5*u + 0 + t*u**3 + 4/5*u**2.
2*u*(u + 1)**2/5
Suppose 0 = 5*x + 3*q + 3, 0 = 2*x + 3*x - q - 1. Let c be x + 2 + 7/(-4). Find r such that -1/4*r + 1/4*r**3 - 1/4 + c*r**2 = 0.
-1, 1
Factor 128*p**3 + 4*p**2 + 8*p**4 - 2*p**5 - 118*p**3 + 4*p**5.
2*p**2*(p + 1)**2*(p + 2)
Let m(b) = 20*b**2 + 98*b - 104. Let w(v) = 7*v**2 + 33*v - 35. Let p(y) = 5*m(y) - 14*w(y). Solve p(n) = 0.
-15, 1
Find g, given that 0 - 1/2*g - 1/4*g**2 = 0.
-2, 0
Let z(y) be the first derivative of y**4/16 + y**3/3 - y**2/8 - y - 17. Determine a, given that z(a) = 0.
-4, -1, 1
Let b(v) = -v**4 - v**3 + v**2 + v - 1. Let g(s) = -s**4 - 3*s**3 - 11*s**2 + 15*s - 11. Let w(y) = 22*b(y) - 2*g(y). Suppose w(n) = 0. Calculate n.
-2, 0, 1/5, 1
Let a(m) = -m**3 - m**2 + 5*m + 2. Let b be a(-3). Let r be (6/b)/2*5. Factor -2*o**r + 6*o**3 + 10*o**3 - 4*o**2.
2*o**2*(7*o - 2)
Let i be 30/(-90)*1/(-4). Let m(t) be the third derivative of -2/3*t**3 - 19/60*t**6 + 1/2*t**5 - i*t**4 + 0 + 1/15*t**7 - 3*t**2 + 0*t. Solve m(b) = 0.
-2/7, 1
Factor 9*f + 9 + 12*f - 3 - 9*f**2 - 6*f.
-3*(f - 2)*(3*f + 1)
Let q(d) be the first derivative of -d**5/12 - 7*d**4/24 - d**3/3 - 5*d**2/2 + 1. Let i(k) be the second derivative of q(k). Factor i(v).
-(v + 1)*(5*v + 2)
Find w, given that -3 + 7*w**5 - 18*w**3 - 19*w**5 - 22*w**2 - 7*w**4 + 11*w**5 - 13*w = 0.
-3, -1
Let r(n) be the first derivative of -2/13*n**3 + 4/13*n - 3 + 1/13*n**2. Factor r(w).
-2*(w - 1)*(3*w + 2)/13
Let y = 13431/452 - 1/3164. Let t = -181/7 + y. Factor t + 27/7*u + 1/7*u**3 