f. Suppose -36*o + 33*o - 6 = 0. Let u(t) = o*h(t) - 7*i(t). Factor u(m).
-m*(m + 1)
Let n(k) = k**3 - 4*k**2 - 7*k + 1. Let r be n(5). Let g be (-1)/3 - 30/r. Find f, given that 2*f + 2*f**3 + f**2 - 3*f**g - f - f**4 = 0.
-1, 0, 1
Let o(h) be the second derivative of h**4/12 + h**3 + 9*h**2/2 - 13*h. Factor o(z).
(z + 3)**2
Let c(v) = 12*v**5 + 3*v**4 + 14*v**3 + v**2 + 11*v + 11. Let z(p) = p**5 + p**3 + p + 1. Let d(a) = 4*c(a) - 44*z(a). Let d(g) = 0. What is g?
-1, 0
Let d(k) be the first derivative of 0*k**3 + 1/20*k**4 + 3 + 0*k - 1/10*k**2. Solve d(s) = 0.
-1, 0, 1
Let a be 2*(-26)/(-4)*1. Let f(h) = -2*h**2 + 2*h. Let v(x) = 5*x**2 - 4*x. Let b(l) = a*f(l) + 6*v(l). Factor b(d).
2*d*(2*d + 1)
Find g such that -96*g**3 - 168*g**4 + 24*g + 340*g**3 - 8*g + 36*g**5 - 112*g**2 = 0.
0, 1/3, 2
Suppose 2*f - 6*f = 0. Determine g so that -2*g**3 + f*g**3 + 0*g**3 + g + g**5 = 0.
-1, 0, 1
Let k(m) = -m**2 + 14*m. Let b be k(14). Let d(j) be the second derivative of b + 0*j**3 + 1/54*j**4 - 1/9*j**2 + j. Factor d(x).
2*(x - 1)*(x + 1)/9
Factor -9/5*a**3 + 0 + 3/5*a**5 - 3*a**2 - 6/5*a + 3/5*a**4.
3*a*(a - 2)*(a + 1)**3/5
Let -4/3 - 1/3*j**2 + 5/3*j = 0. Calculate j.
1, 4
Let v = 178 - 91. Let b be v/60 - 3/12. Factor -2/5*y**3 - b*y + 2/5 + 6/5*y**2.
-2*(y - 1)**3/5
Let j(l) be the second derivative of -2/5*l**2 + 1/30*l**4 - 1/15*l**3 + 0 - 3*l. Factor j(b).
2*(b - 2)*(b + 1)/5
Let b(n) be the second derivative of n**6/25 + n**5/20 - n**4/30 - n**3/30 - 6*n. Let b(t) = 0. Calculate t.
-1, -1/3, 0, 1/2
Let a(y) be the first derivative of -1/2*y + 1/6*y**3 + 1 + 1/4*y**2 - 1/8*y**4. Factor a(k).
-(k - 1)**2*(k + 1)/2
Let z(t) be the third derivative of t**8/224 + t**7/420 - t**6/120 - 2*t**2. Factor z(u).
u**3*(u + 1)*(3*u - 2)/2
Let w(z) be the first derivative of z**6/5 + 14*z**5/25 - z**4/10 - 14*z**3/15 - 2*z**2/5 + 3. Solve w(t) = 0.
-2, -1, -1/3, 0, 1
Suppose -5*b = 20 - 0. Let g be (24/(-64))/(6/b). Factor -1/2 - 3/4*r**2 + g*r**4 - 1/4*r**3 + 5/4*r.
(r - 1)**3*(r + 2)/4
Factor -9*p**3 + 6*p + 3*p**2 + 3*p**5 + 13 - 13 - 3*p**4.
3*p*(p - 2)*(p - 1)*(p + 1)**2
Let r be 2*(22/10 + -2). Factor -2/5*i - r*i**4 + 2/5*i**2 + 2/5*i**3 + 0.
-2*i*(i - 1)**2*(i + 1)/5
Let m(z) = -z**2 - 6*z + 1. Let f be m(-7). Let q be (20/f)/5*-3. Solve 4*u**2 - 5/2*u + 1/2 - q*u**3 = 0.
1/2, 1
Let l(o) be the first derivative of 1 - 48*o**4 - 16*o - 24*o**2 + 20*o**3 + 1 + 44*o**4. Let l(g) = 0. Calculate g.
-1/4, 2
Let n = 12 + -19. Let u(o) = -o**3 + 10*o**2 - o + 4. Let l(b) = -b**3 + 19*b**2 - b + 7. Let z(d) = n*u(d) + 4*l(d). Let z(s) = 0. What is s?
-1, 0
Let u = -26 - -132/5. Factor 0*j + 2/5*j**5 + 6/5*j**3 - 6/5*j**4 + 0 - u*j**2.
2*j**2*(j - 1)**3/5
Find d such that 3/8*d**2 + 9/8 - 3/2*d = 0.
1, 3
Let l(x) be the second derivative of 2*x**7/21 - 2*x**6/15 - 2*x**5/5 + 2*x**4/3 + 2*x**3/3 - 2*x**2 - x. Factor l(j).
4*(j - 1)**3*(j + 1)**2
Suppose 2*d - 27 = 4*c - d, d - 31 = 5*c. Let z(u) = -u - 6. Let g be z(c). Suppose -2*v**2 + 12*v**3 + g*v**2 - 66*v**5 - 10*v**4 + 42*v**5 = 0. Calculate v.
-1, 0, 1/4, 1/3
Factor 0 + 1/2*i**2 + 7/2*i.
i*(i + 7)/2
Let c(b) = -b**3 + 7*b**2 + 5*b - 3. Let x(l) = 6*l**2 + 4*l - 2. Let r(d) = -2*c(d) + 3*x(d). Suppose r(i) = 0. What is i?
-1, 0
Let i(p) = -p**2. Let u(z) = 10*z**2 + 16*z + 16. Let w(n) = 6*i(n) + u(n). Factor w(x).
4*(x + 2)**2
Find f such that 2/21 + 8/21*f**2 + 10/21*f = 0.
-1, -1/4
Let w(i) = -i**2 - 5*i. Let z be w(-4). Suppose 0 = -z*t - t + 10. Find c, given that -2*c + c + c - t*c**2 = 0.
0
Factor -6*f**2 - 7 + 6 + 5*f - 9 + 2*f**3 - 23*f.
2*(f - 5)*(f + 1)**2
Let r be (18/8)/(39/52). Factor 0 + 12/5*v**r + 3*v**2 + 3/5*v.
3*v*(v + 1)*(4*v + 1)/5
Let n(a) = -3*a**3 + 9*a**2 + 12*a - 18. Let p(u) = u**3 - 2*u**2 - 3*u + 4. Let m(l) = -2*n(l) - 9*p(l). Factor m(d).
-3*d*(d - 1)*(d + 1)
Suppose 4*j + 2 = -14. Let o be -10*(24/15)/j. What is g in -g**5 - 2*g**2 + g**5 + g**5 + 2 + 4*g**3 + 4*g**4 - 5*g - o = 0?
-2, -1, 1
Let f(s) = -3*s - s - s**3 - 5 + 2*s - 3*s**2 - s**2. Let v be f(-4). Let 4/9*y**2 + 0*y + 2/9*y**v + 0 = 0. Calculate y.
-2, 0
Suppose 0*q + 4/9*q**3 - 2/9*q**4 - 2/9*q**2 + 0 = 0. What is q?
0, 1
Suppose -4*v - v = -60. Suppose -l + 3*g + 0*g = v, -2*l - 4*g + 26 = 0. Factor 2/5*k + 2/5*k**5 + 0 + 0*k**4 - 4/5*k**l + 0*k**2.
2*k*(k - 1)**2*(k + 1)**2/5
Let n(o) = -o + 5. Let z be n(3). Solve -u**4 + 12*u**3 - u**4 + 12*u + 4*u**z - 3 - u**4 - 22*u**2 = 0 for u.
1
Let a(q) be the second derivative of -q**7/63 - 2*q**6/45 - q**5/30 - 24*q. What is m in a(m) = 0?
-1, 0
Let q(d) = -d**3 + d**2 - 6. Let y be q(0). Let m(h) = 4*h + 3*h + 5*h**2 + 9 + 0*h**2. Let r(x) = 2*x**2 + 3*x + 4. Let w(g) = y*m(g) + 14*r(g). Factor w(i).
-2*(i - 1)*(i + 1)
Let z(n) be the second derivative of 1/24*n**3 + 0*n**4 + 0 - 1/240*n**6 - 1/80*n**5 - 5*n + 1/16*n**2. Solve z(o) = 0.
-1, 1
Let t(o) = -o**3 + o**2 + o + 1. Let s(n) = 4*n**3 - n**2 - 2*n - 3. Let i(h) = -2*s(h) - 6*t(h). Factor i(u).
-2*u*(u + 1)**2
Let f(o) = 35*o**4 + 125*o**3 + 840*o**2 + 750*o + 30. Let j(d) = -d**4 - d - 1. Let q(z) = f(z) + 30*j(z). Factor q(h).
5*h*(h + 1)*(h + 12)**2
Let b(i) be the third derivative of i**6/24 + i**5/12 - 5*i**4/24 - 5*i**3/6 + 10*i**2. Let b(r) = 0. Calculate r.
-1, 1
Suppose 0 = v - 3. Suppose -4*z - 4*c + 14 = -2*c, -3*c = v*z - 12. Let -1/3*t**4 + 0*t - 2/3*t**z + 0 - 1/3*t**2 = 0. Calculate t.
-1, 0
Suppose l - 2 = 2*p, 3*l + 5 = 2*p - 7*p. Let s be l - (1/(-4) - 0). Suppose -s*u**4 + 0 - 3/4*u**2 - 1/4*u - 3/4*u**3 = 0. What is u?
-1, 0
Suppose x**2 + 4*x**4 - 10*x**2 - 3*x**2 + 8*x = 0. What is x?
-2, 0, 1
Factor 0*c + 1/4*c**3 + 1/4*c**2 + 0.
c**2*(c + 1)/4
Let t be (-3)/(-2)*(-5)/3. Let v = 3 + t. Factor 1/2*k + 0 + v*k**2.
k*(k + 1)/2
Let j(z) be the first derivative of -z**4/4 + z**2/2 - 3. Solve j(k) = 0 for k.
-1, 0, 1
Factor -96*c**4 - 120*c**3 + 45*c + 69/2*c**2 - 27/2.
-3*(c + 1)**2*(8*c - 3)**2/2
Let y = -4 - -8. Factor 4*t**2 + 8*t + 4 - y*t + 4*t.
4*(t + 1)**2
Let t be 3*(40/(-12) + 3). Let x be t/((-18)/4)*3. Solve 0*b + 0 + x*b**2 = 0.
0
Let n(i) be the first derivative of -i**5/80 + i**3/24 - 2*i + 1. Let u(z) be the first derivative of n(z). Determine w, given that u(w) = 0.
-1, 0, 1
Let c be 42/16 + (-8 - (-469)/56). Let w(f) be the third derivative of -1/270*f**5 + 0*f - 3*f**2 - 1/540*f**6 + 0*f**4 + 0*f**c + 0. Factor w(j).
-2*j**2*(j + 1)/9
Factor -3*v - v - 6*v**2 + 8 + 2*v - 6*v.
-2*(v + 2)*(3*v - 2)
Suppose 10*z - 5*z = 20. Suppose -2*t - 3 = -3*g + 9, 4*t = 5*g - 22. Determine d so that 2/7*d + 2/7*d**z + 0 + 6/7*d**3 + 6/7*d**g = 0.
-1, 0
Suppose 0*f + 30 = 5*f. Suppose 0 = -5*r + 2*r + f. Find d, given that 0*d**3 + 0*d**3 - r*d**4 - 8*d**2 - 8*d**3 = 0.
-2, 0
Suppose 4/7 - 6/7*b - 2/7*b**2 + 6/7*b**3 - 2/7*b**4 = 0. Calculate b.
-1, 1, 2
Let u(q) be the third derivative of -3*q**6/8 - 11*q**5/12 - 5*q**4/12 + 19*q**2. Factor u(a).
-5*a*(a + 1)*(9*a + 2)
Let u(f) be the second derivative of 0*f**3 + 0 + 1/24*f**4 + 1/20*f**5 + 0*f**2 - f + 1/60*f**6. Suppose u(w) = 0. Calculate w.
-1, 0
Factor -3/4*f + 1/4*f**2 + 0.
f*(f - 3)/4
Suppose -m - m + 4 = 0. Let r = 0 + m. Suppose 4/3 - 2/3*g - 2/3*g**r = 0. Calculate g.
-2, 1
Factor 0*h - 1/4*h**3 + 0 - 1/2*h**2 + 1/4*h**4.
h**2*(h - 2)*(h + 1)/4
Determine k so that -105*k - 5 + 87*k - 16 + 3*k**2 = 0.
-1, 7
Let c(v) = v**3 - v**2 + v + 1. Let d(u) = -6*u**2 + 2. Let w(x) = -2*c(x) + d(x). Factor w(a).
-2*a*(a + 1)**2
Suppose 4*h + 12 = 4*b, 3*b - 4*h - 16 = -2*b. Suppose 1/2*w**2 - 5/2*w**b + 3/2*w**3 + 0 + w**5 - 1/2*w = 0. What is w?
-1/2, 0, 1
Let z(u) be the third derivative of u**8/3360 - u**7/1260 - u**6/360 + u**5/60 + u**4/8 + 2*u**2. Let a(c) be the second derivative of z(c). Factor a(p).
2*(p - 1)**2*(p + 1)
Let v(h) be the first derivative of 2*h**5/85 - 3*h**4/17 + 2*h**3/51 + 24*h**2/17 + 32*h/17 - 8. Factor v(d).
2*(d - 4)**2*(d + 1)**2/17
Let b(l) be the third derivative of 1/240*l**5 + 0*l + 0*l**3 + 1/96*l**4 - 5*l**2 + 0. Factor b(n).
n*(n + 1)/4
Let t be (4/8*-4)/((-2)/5). Let v(w) be the second derivative of 2/9*w**3 + 1/15*w**t + 1/6*w**2 + 3*w + 1/6*w**4 + 0 + 1/90*w**6. Factor v(d).
(d + 1)**4/3
What is a in 3/4*a**3 + 0 + a - 2*a**2 - 1/4*a**5 + 1/2*a**4 = 0?
-2, 0, 1, 2
Let x(y) be the seco