4*m**2 - 5*m**3 + m**3. Let v(i) = -3*g(i) + 8*h(i). Factor v(d).
2*d*(d - 2)*(d + 1)
Let x(t) be the third derivative of -t**9/12096 - t**8/3840 - t**7/5040 + t**4/24 + 3*t**2. Let f(j) be the second derivative of x(j). Let f(s) = 0. What is s?
-1, -2/5, 0
Let f(v) be the first derivative of -v**3/8 + 9*v**2/16 - 3*v/4 - 2. Factor f(z).
-3*(z - 2)*(z - 1)/8
Let y = 46 + -44. Factor -1/4*m**y + 0*m + 1/4.
-(m - 1)*(m + 1)/4
Let y(g) be the second derivative of -g**6/300 - g**5/25 - g**4/5 - 8*g**3/15 - 3*g**2/2 + 2*g. Let l(o) be the first derivative of y(o). Factor l(v).
-2*(v + 2)**3/5
Let t = -239 + 725/3. What is s in -8/3 - 2/3*s**2 + t*s = 0?
2
Let x(u) be the second derivative of -5*u**7/42 - u**6/2 + 3*u**5/2 + 25*u**4/6 - 35*u**3/2 + 45*u**2/2 + 6*u. What is s in x(s) = 0?
-3, 1
Let u = -154 - -156. Factor 1/4*j**u - 1/4 + 0*j.
(j - 1)*(j + 1)/4
Let a(z) be the first derivative of z**3 + 9*z**2 + 27*z + 3. Solve a(o) = 0.
-3
Suppose 5*p + 20 = -u, -3*u + p - 1 = -5. Factor u*t + 0 + 0*t**2 + 2/7*t**3.
2*t**3/7
Let x(z) be the first derivative of 3*z**5/10 + 3*z**4/8 - z**3/2 - 3*z**2/4 - 2. Find k, given that x(k) = 0.
-1, 0, 1
Let d(v) be the first derivative of 5 - 1/16*v**4 + 1/2*v + 0*v**3 + 3/8*v**2. Let d(u) = 0. Calculate u.
-1, 2
Let j(y) = -y**5 + 5*y**4 + 6*y**3 - 6. Let u = -29 + 18. Let h(z) = -2*z**5 + 9*z**4 + 11*z**3 - 11. Let q(r) = u*j(r) + 6*h(r). Solve q(a) = 0.
-1, 0
Let w = -69 - -73. Let u(d) be the second derivative of 0*d**3 - 1/70*d**5 - d + 1/42*d**w + 0*d**2 + 0. Factor u(h).
-2*h**2*(h - 1)/7
Let u(o) = -o - 3*o**2 - 2*o**2 + 5*o**2 - o**2. Let y(d) = -4*d**2 - 4*d. Let p(a) = 3*u(a) - y(a). Let p(g) = 0. Calculate g.
-1, 0
Let i(v) = 2*v**2 - 2*v. Suppose -3*l + 2*h = -2, l + 2*l + 3*h - 12 = 0. Let o be i(l). Factor -2*g + 2*g**3 + 2*g**2 + 3 - o*g**2 - 1.
2*(g - 1)**2*(g + 1)
Let k(t) be the third derivative of -t**7/1120 - t**6/480 + t**3/2 - 2*t**2. Let r(b) be the first derivative of k(b). Determine f, given that r(f) = 0.
-1, 0
Let h(n) be the third derivative of 3/140*n**5 - 1/490*n**7 + 3*n**2 + 0*n + 0*n**3 + 0*n**6 - 1/28*n**4 + 0. Let h(a) = 0. What is a?
-2, 0, 1
Let x be 8/3*(-6)/(-8). Let d(k) be the second derivative of k + 0*k**5 - 1/60*k**6 + 0*k**4 + 1/84*k**7 + 0*k**3 + 0 + 0*k**x. Factor d(h).
h**4*(h - 1)/2
Let h(a) be the third derivative of -7*a**6/240 + 19*a**5/120 - a**4/6 - a**3/3 - 6*a**2. Factor h(i).
-(i - 2)*(i - 1)*(7*i + 2)/2
Let v(d) be the second derivative of -d**4/48 + 11*d**3/24 + 3*d**2/2 + d. Factor v(j).
-(j - 12)*(j + 1)/4
Factor -1/6 - 1/3*w - 1/6*w**2.
-(w + 1)**2/6
Let i(t) be the first derivative of 2*t**3/21 - 3*t**2/7 + 19. Solve i(w) = 0 for w.
0, 3
Let u(q) be the second derivative of 3*q**5/20 - q**3/2 - 13*q. Factor u(m).
3*m*(m - 1)*(m + 1)
Let 0*d**3 - 3*d**3 + 4*d**3 + 6*d**2 - 2*d**2 = 0. What is d?
-4, 0
Find a, given that 3/2*a + 0 - 3/8*a**4 - 3*a**2 + 15/8*a**3 = 0.
0, 1, 2
Let x(h) = -h**3 + 3*h**2 + 2*h - 2. Let l(d) be the third derivative of d**6/120 - d**5/15 - d**4/8 + d**3/2 - 2*d**2. Let w(z) = 2*l(z) + 3*x(z). Factor w(r).
-r**2*(r - 1)
Solve 4/13 + 10/13*j**2 - 14/13*j = 0.
2/5, 1
Suppose 2 = t - 0*t. Factor 0*w**t + 2*w + w**2 + w**2.
2*w*(w + 1)
Let g = 2 - -10. Factor 2*i**2 - 3*i**5 + 15*i + 61*i**4 + 4*i**2 + 9 - 3 - 73*i**4 - g*i**3.
-3*(i - 1)*(i + 1)**3*(i + 2)
Suppose 0 - 1/8*h - 1/8*h**3 + 1/4*h**2 = 0. Calculate h.
0, 1
Let c(w) = w**3 - w - 6. Let n be c(0). Let x be 3/(-3)*n/3. Solve 2/3 - 4/3*a + 2/3*a**x = 0.
1
Let i(d) be the third derivative of -d**5/150 - d**4/4 - 14*d**3/15 + 61*d**2. Let i(h) = 0. Calculate h.
-14, -1
Let m = 709/36828 - 1/1364. Let b(f) be the third derivative of 1/270*f**5 + m*f**4 + 0 + 0*f - 4*f**2 + 1/27*f**3. Factor b(j).
2*(j + 1)**2/9
Let v(t) be the first derivative of -t**6/40 - 3*t**5/20 - 3*t**4/8 - t**3/2 - 3*t**2/2 + 6. Let f(y) be the second derivative of v(y). Factor f(d).
-3*(d + 1)**3
Let i(w) = w + 2. Let n be i(1). What is z in 0 + 2/5*z**n + 0*z + 0*z**2 = 0?
0
Let r(i) be the first derivative of 0*i - 1/6*i**6 + 0*i**2 - 3/4*i**4 - 3/5*i**5 - 2 - 1/3*i**3. Find f, given that r(f) = 0.
-1, 0
Let z = -5 - -90. Let q be 6/10 + z/25. Factor -1/2 + 1/2*r**q + r - r**3 + 0*r**2.
(r - 1)**3*(r + 1)/2
Let k = -5 - -7. Suppose 4*w - k = 3*w. Factor 0*r**w + 4/7*r + 2/7 - 4/7*r**3 - 2/7*r**4.
-2*(r - 1)*(r + 1)**3/7
Factor -2*d**3 + 0*d**3 + 2*d**2 - 8*d**2.
-2*d**2*(d + 3)
Let g(h) be the third derivative of 0*h**3 - 2/105*h**7 + 1/60*h**6 - 3*h**2 + 0*h**5 + 0*h**4 + 0*h + 0 + 1/168*h**8. Find i, given that g(i) = 0.
0, 1
Factor -4/11*f**2 - 2/11*f**3 + 2/11*f + 4/11.
-2*(f - 1)*(f + 1)*(f + 2)/11
Let b be 2/8 - 33/(-12). Suppose 5*t - 25 = 0, 0*y - 3*t = -3*y - b. Factor 3*s**3 + 2 - 4*s**3 - s - y*s + 4*s**2.
-(s - 2)*(s - 1)**2
Let o(v) be the second derivative of -v**4/54 + 4*v**3/27 - 23*v - 2. Factor o(z).
-2*z*(z - 4)/9
Let d(u) = -u**3 + u**2 - u - 1. Let n(h) = -3*h**3 + 5*h**2 - 5*h - 5. Let f = -20 - -14. Let x = 2 + f. Let g(b) = x*d(b) + n(b). Factor g(i).
(i - 1)*(i + 1)**2
Let i(a) = -a**3 - a**2 - 1. Let u(m) = -15*m**3 - 27*m**2 + 6*m - 18. Let w(b) = -18*i(b) + u(b). Suppose w(d) = 0. What is d?
0, 1, 2
Let r(y) be the third derivative of -y**6/360 - y**5/36 + y**4/12 - 14*y**2. Solve r(w) = 0.
-6, 0, 1
Let t(b) be the first derivative of 2*b**5/35 + b**4/14 - 2*b**3/21 - b**2/7 - 6. What is z in t(z) = 0?
-1, 0, 1
Let j(v) = -3*v**3 + v**2 + 3*v - 1. Suppose 4*f = 2*l - 14, -3*l + 2*l + f = -7. Let w(h) = -6*h**3 + h**2 + 6*h - 1. Let m(c) = l*j(c) - 4*w(c). Factor m(d).
3*(d - 1)*(d + 1)**2
Let j(q) = q + 7. Suppose v - 3*f - 7 = -0*f, -5*v - 5*f = 45. Let w be j(v). Factor -w*g - 2*g**2 + 0 + 6*g - 2.
-2*(g - 1)**2
Let c(a) = 2 + 0*a**2 - 7*a**2 + 4*a**2 + 2*a**2. Let u be c(0). Factor -8/3*x**u + 14/3*x + 4/3.
-2*(x - 2)*(4*x + 1)/3
Factor 0 + 2*i + 2/5*i**2.
2*i*(i + 5)/5
Let y(f) = 162*f**4 - 162*f**3 + 47*f**2 - 13*f - 7. Let c(k) = 81*k**4 - 81*k**3 + 24*k**2 - 6*k - 3. Let w = -8 - -1. Let m(t) = w*c(t) + 3*y(t). Factor m(i).
-3*i*(3*i - 1)**3
Let n = 27 + -53/2. Let k(d) be the first derivative of -1/6*d**3 - 1 - n*d - 1/2*d**2. Suppose k(u) = 0. What is u?
-1
Let f(q) be the second derivative of q**7/126 - q**5/30 + q**3/18 - 35*q. Factor f(k).
k*(k - 1)**2*(k + 1)**2/3
Let t(n) = -7*n**2 + 6*n - 5. Let v(x) = 6*x**2 - 5*x + 4. Let q(o) = -5*t(o) - 6*v(o). Determine p, given that q(p) = 0.
-1, 1
Let w be (-26)/(-4) - (-42)/(-7). Suppose 1/2*r - 1/2 - w*r**3 + 1/2*r**2 = 0. What is r?
-1, 1
Let m(w) be the third derivative of -w**8/1176 - 2*w**7/735 + 6*w**2. Factor m(c).
-2*c**4*(c + 2)/7
Suppose 0 = s - 2*u - 2, -2*s + 0*u = 2*u - 4. Find t such that 2/3*t**3 - 4/3 - s*t + 0*t**2 = 0.
-1, 2
Let c be 1/10 + 106/140. Solve -2*q + 6/7 - 2*q**2 + c*q**3 = 0.
-1, 1/3, 3
What is r in 0 - 1/2*r**4 + 0*r - 2*r**2 - 2*r**3 = 0?
-2, 0
Let y be (-116)/(-78) + 20/(-130). Determine d so that 2/3*d**2 + 0 + 2/3*d**3 - y*d = 0.
-2, 0, 1
Let j be (-1)/((-239)/(-479)) + 2. Let o = 963/1673 + j. Solve o - 2/7*f - 2/7*f**2 = 0 for f.
-2, 1
Let p be (-11)/(-88) - (-61)/24. Let m(x) be the first derivative of -1/12*x**4 - 2*x**2 + p*x + 2/3*x**3 + 1. Factor m(d).
-(d - 2)**3/3
Let u(l) be the first derivative of l**5/10 - l**4/3 + l**3/3 + 5*l - 2. Let i(t) be the first derivative of u(t). Suppose i(m) = 0. What is m?
0, 1
Let s(n) be the second derivative of n**7/180 - n**6/45 + n**5/90 + 3*n**2/2 - n. Let y(x) be the first derivative of s(x). Find g, given that y(g) = 0.
0, 2/7, 2
Let m = -63 + 127/2. Determine g, given that 0*g**3 + 0*g - m*g**2 + 1/4 + 1/4*g**4 = 0.
-1, 1
Suppose 2*r + 1 = -5*p - 10, -3*p - 18 = 5*r. Let l be r - 18*(-2)/8. Factor -3/4*x**4 + 0 + 0*x - 3/4*x**2 - l*x**3.
-3*x**2*(x + 1)**2/4
Let u(m) be the third derivative of -m**7/42 - m**6/6 - m**5/4 + 5*m**4/6 + 10*m**3/3 + 3*m**2 + 14*m. Factor u(z).
-5*(z - 1)*(z + 1)*(z + 2)**2
Let r = 5 + -3. Let -u**3 + 0*u**3 + 2*u + r*u**3 - 3*u**2 + 0*u**2 = 0. Calculate u.
0, 1, 2
Suppose 3*h - 17 = 4*q, -2*q = -2*h + 8 + 4. What is m in -m**2 + 2*m**4 + 3*m - 2 + m**2 - h*m + 4*m**3 = 0?
-1, 1
Let v be (-1)/4 - (-8)/32. Solve -1/2*w**3 + 1/4*w + 1/4*w**5 + v*w**4 + 0 + 0*w**2 = 0.
-1, 0, 1
Let h(l) be the f