actor u(t).
-5*(t + 1)*(t + 2)
Let k(q) = -3*q**2 + 9*q + 12. Let b(u) = -u - 1. Let t(j) = 6*b(j) + k(j). Factor t(d).
-3*(d - 2)*(d + 1)
Let d(r) be the second derivative of 15*r**7/14 + 7*r**6/5 - 9*r**5/20 - r**4/2 + 4*r. Determine w so that d(w) = 0.
-1, -1/3, 0, 2/5
Factor 2/3*p**2 - 2/3 + 0*p.
2*(p - 1)*(p + 1)/3
Factor 2*b**2 + 8/9*b**4 - 8/3*b**3 + 0 + 0*b.
2*b**2*(2*b - 3)**2/9
Let r(z) be the third derivative of -z**6/30 + 2*z**5/15 - z**4/6 - 3*z**2. Find t such that r(t) = 0.
0, 1
Let s be -1 - (1 + -7) - -3. Suppose 7*c**3 - s*c**4 - 3*c**3 + 5*c**5 + 2*c**5 - 3*c**5 = 0. Calculate c.
0, 1
Let o(b) be the third derivative of -49*b**6/100 + 77*b**5/50 - 8*b**4/5 + 4*b**3/5 + 2*b**2. Determine c, given that o(c) = 0.
2/7, 1
Let o(q) be the third derivative of q**8/336 + q**7/105 - q**5/30 - q**4/24 + 4*q**2. Solve o(r) = 0 for r.
-1, 0, 1
Let u be (-148 - -148)*(-2)/4. Suppose 0 - 2/5*c**3 + u*c - 2/5*c**2 = 0. What is c?
-1, 0
Factor 0*k**2 + 0 - 2/5*k**3 + 2/5*k.
-2*k*(k - 1)*(k + 1)/5
Let b be 18/15 + (-2)/10. Let d(m) be the first derivative of -m**2 - 2*m**3 + 0*m + 1/5*m**5 + 1/4*m**6 - 9/8*m**4 + b. Solve d(f) = 0.
-1, -2/3, 0, 2
Let b = -48 + 50. Let s(w) be the third derivative of 0*w**5 + 0*w**3 - w**b + 0*w - 1/360*w**6 + 0 + 0*w**4. Factor s(q).
-q**3/3
Let k be -6*(-3)/(-12)*-2. Let r be 1/k - 24/(-9). Factor 4*n**2 + 2*n**r + 8/3*n + 1/3*n**4 + 0.
n*(n + 2)**3/3
Let w(z) be the first derivative of 3*z**6/4 + 3*z**5/2 - 5*z**4/8 - 5*z**3/2 + 2*z - 7. Factor w(r).
(r + 1)**3*(3*r - 2)**2/2
Let x = -4 - -1. Let o(n) = -2*n**4 - 5*n**3 - 12*n**2 - 8*n - 2. Let b(m) = -m**3. Let g(z) = x*b(z) - o(z). Factor g(w).
2*(w + 1)**4
Let b(t) be the second derivative of 5*t**4/12 + 25*t**3/6 - 35*t**2 - 43*t + 2. Solve b(x) = 0 for x.
-7, 2
Suppose -18 = -3*p - 3*p. Suppose -4*u + 1 + p*u - 3 - u**2 + 2*u**2 = 0. What is u?
-1, 2
Suppose 20 = 4*v + 5*c, -2 = 2*v - c + 2. Factor 19*b**4 + v*b**2 - 3*b**3 + 4*b**5 - 14*b**4 - b - 5*b**2.
b*(b - 1)*(b + 1)**2*(4*b + 1)
Let s(y) be the second derivative of -y**6/30 + y**5/10 - y**3/3 + y**2/2 - 5*y. Determine h, given that s(h) = 0.
-1, 1
Let s = -20 - -22. Let f be (s/(-4))/((-9)/54). Solve 4/5 + 2*i**f + 14/5*i + 18/5*i**2 + 2/5*i**4 = 0 for i.
-2, -1
Let r = -181 + 184. Factor 0*k**2 + 1/6*k**4 + 0*k**r + 0*k + 0.
k**4/6
Let g(a) be the second derivative of -3*a**5/20 - a**4/2 - a**3/2 - 4*a. Determine w so that g(w) = 0.
-1, 0
Let z(b) be the third derivative of 15*b**8/28 - 52*b**7/35 + 22*b**6/15 - 8*b**5/15 + 8*b**2. What is a in z(a) = 0?
0, 2/5, 2/3
Let h(x) be the first derivative of -2*x**3/39 + 2*x**2/13 - 2*x/13 - 15. Suppose h(j) = 0. What is j?
1
Let z(v) be the second derivative of 1/30*v**5 + 4/3*v**3 + 1/3*v**4 + 8/3*v**2 + v + 0. Factor z(y).
2*(y + 2)**3/3
Factor -1/4 - 5/4*z**4 - 5/4*z - 5/2*z**2 - 1/4*z**5 - 5/2*z**3.
-(z + 1)**5/4
Let v(q) be the second derivative of q**9/6048 - q**8/1120 + q**7/560 - q**6/720 + q**3/6 - 4*q. Let j(a) be the second derivative of v(a). Factor j(x).
x**2*(x - 1)**3/2
Factor -9*c**3 + 4*c**3 - 10*c**3 - 16*c**5 - 10*c**2 + 21*c**5.
5*c**2*(c - 2)*(c + 1)**2
What is y in 24*y**4 - 9*y**3 - 5*y**5 - 9*y**4 + 12*y**2 + 2*y**5 - 15*y**3 = 0?
0, 1, 2
Let i(p) be the first derivative of -p**4/24 - p**3/6 - p**2/4 + 3*p - 3. Let k(b) be the first derivative of i(b). Factor k(l).
-(l + 1)**2/2
Factor 25*q**2 - 20*q**3 + 3*q + q + 6*q - 15*q.
-5*q*(q - 1)*(4*q - 1)
Suppose -3*h + 7 + 2 = 0. Let n be h/2*48/126. Factor -6/7*u - n + 4/7*u**2.
2*(u - 2)*(2*u + 1)/7
Suppose -2 = 2*c + 2*i, -4*c - 3*i = -2*i - 5. Factor f**2 - 4*f**c + f**2 + 8.
-2*(f - 2)*(f + 2)
Let q(t) = -t**3 + 7*t**2 - 2*t + 17. Let d be q(7). Let u(h) be the first derivative of 1 - 3/8*h**2 + 1/12*h**d + 1/2*h. Factor u(p).
(p - 2)*(p - 1)/4
Let s(o) be the first derivative of o**7/210 + o**6/40 + o**5/20 + o**4/24 - 3*o**2/2 - 1. Let a(i) be the second derivative of s(i). Factor a(q).
q*(q + 1)**3
Let h = 124 + -864/7. Factor -2/7*c**4 - 8/7*c**3 - 10/7*c**2 - h*c + 0.
-2*c*(c + 1)**2*(c + 2)/7
What is i in -32/13 + 0*i - 2/13*i**4 + 16/13*i**2 + 0*i**3 = 0?
-2, 2
Let u(h) be the first derivative of 2*h**6/3 + 2*h**5/5 - 3*h**4 - 14*h**3/3 - 2*h**2 + 9. Suppose u(v) = 0. What is v?
-1, -1/2, 0, 2
Let r(z) be the third derivative of 1/150*z**5 + 2/15*z**3 + 0 - 1/175*z**7 + 0*z - 1/60*z**6 + 2*z**2 + 1/12*z**4. Let r(j) = 0. Calculate j.
-1, -2/3, 1
Suppose 0 = -r + j - 0*j + 2, 28 = -4*r - 5*j. Let q be r/12*(-6)/4. Suppose 1/4 - q*f**2 - 1/2*f**3 + 1/2*f = 0. Calculate f.
-1, -1/2, 1
Let c(l) = 6*l**3 - l. Let k be c(1). Let m = 7 - k. Factor b**m - 5*b**2 + b**2 - 6*b.
-3*b*(b + 2)
Let c(a) be the first derivative of a**6/30 + a**5/25 - a**4/10 - 2*a**3/15 + a**2/10 + a/5 - 9. Factor c(z).
(z - 1)**2*(z + 1)**3/5
Factor -15*g**3 - g**2 - 9*g**3 + 22*g**3 - g**4.
-g**2*(g + 1)**2
Suppose 4*t - 2 = 3*t. Let -16*v + 20 - t*v**3 + 3*v**2 - 13*v**2 - 28 = 0. What is v?
-2, -1
Let z(h) = -h**4 - h**3 + h - 1. Let u(x) = -12*x**4 - 17*x**3 + 4*x**2 + 5*x - 5. Let b(w) = u(w) - 5*z(w). Factor b(m).
-m**2*(m + 2)*(7*m - 2)
Let h be 39/(-2)*1040/168. Let u = h - -121. Factor 2/7*c**4 + 0 - 2/7*c - 2/7*c**2 + u*c**3.
2*c*(c - 1)*(c + 1)**2/7
Let p(n) = -n - 1. Let u be p(-4). Factor f**3 + 3*f**4 + 5*f**3 - 10 + 10 + u*f**2.
3*f**2*(f + 1)**2
Suppose 5 - 17 = -4*d. Suppose d*q - 9 = -3. Factor 0 + 0*i**q + 2/5*i**3 + 0*i + 2/5*i**5 + 4/5*i**4.
2*i**3*(i + 1)**2/5
Factor 0 - 3/4*l + 9/2*l**2 + 3*l**4 - 27/4*l**3.
3*l*(l - 1)**2*(4*l - 1)/4
Factor -3*t**3 + 6*t**4 + 3*t**5 - 9*t**5 + 3*t**5.
-3*t**3*(t - 1)**2
Let d = 38 + -18. Solve 46*m**2 + d*m**3 - 14*m**2 - 2*m - m - 13*m = 0 for m.
-2, 0, 2/5
Let n(l) be the first derivative of 3*l**5/20 - l**4/4 - 2*l**3 + 6*l**2 - 10*l - 7. Let i(a) be the first derivative of n(a). Let i(y) = 0. What is y?
-2, 1, 2
Let x(t) be the third derivative of t**7/2520 - t**6/540 + t**5/360 - t**3/6 + t**2. Let s(b) be the first derivative of x(b). Suppose s(f) = 0. What is f?
0, 1
Let z(x) = -x**2 - 6*x - 3. Let p be z(-2). Suppose 0 = -p*j + 9 + 1. Factor 3 - j*k**2 + 3*k - 1 + 3*k**2.
(k + 1)*(k + 2)
Suppose 0 = 2*b - 0*b + 26. Let l = b - -40/3. Factor l*x + 1/3 - 4/3*x**4 + 11/3*x**3 - 3*x**2.
-(x - 1)**3*(4*x + 1)/3
What is d in -1/6*d**3 + 1/6*d**2 + 0*d + 0 = 0?
0, 1
Let x(v) = v**3 - 10*v**2 + 3. Let f be x(10). Suppose -f*c = -5*k + 2*c - 5, k - 2*c + 4 = 0. Factor -6*g**3 + 2*g + k*g**2 - 4*g + g + 5*g.
-2*g*(g - 1)*(3*g + 2)
Suppose 0*z + 3*z - 13 = -f, -14 = 2*z - 5*f. Factor 3*c**z - 2*c**3 + 4*c - 2*c**4 - 5*c**3 + 2*c**2.
-2*c*(c - 1)*(c + 1)*(c + 2)
Let j(v) = v + 7. Let l be j(-4). Factor 0*w**3 + 2*w**3 - l*w**3 + w**2 - 4*w**2 - 3*w - 1.
-(w + 1)**3
Determine g, given that 1/5*g**2 + 0 + 3/5*g = 0.
-3, 0
Let l(r) be the third derivative of r**6/15 - 7*r**5/30 + r**4/6 + r**3/3 + 4*r**2. Suppose l(v) = 0. What is v?
-1/4, 1
Let r(c) be the third derivative of c**6/100 + 3*c**5/50 + c**4/10 + 20*c**2. Factor r(b).
6*b*(b + 1)*(b + 2)/5
Let y(g) = -7*g**3 + 5*g**2 + 2*g. Let p(k) = k**3 - k**2. Let q = -13 - -8. Let u(w) = q*p(w) - y(w). Let u(h) = 0. Calculate h.
-1, 0, 1
Let i(z) be the second derivative of 49*z**6/150 - 28*z**5/75 + 2*z**4/15 - 3*z**2/2 - 4*z. Let n(q) be the first derivative of i(q). What is k in n(k) = 0?
0, 2/7
Let t = -10 - -12. Let d be ((-8)/36)/(t/(-3)). Find h such that 10/3*h**2 + 5/3*h**4 + 10/3*h**3 + 5/3*h + d + 1/3*h**5 = 0.
-1
Let m(u) be the first derivative of -1/8*u**4 + 4 + 1/20*u**5 + 1/16*u**6 - 1/12*u**3 + 0*u + 1/16*u**2. Solve m(a) = 0.
-1, 0, 1/3, 1
Let c be (-8 - -4) + 0 + 6. Suppose 0 = c*x + u, x = 5*x + 4*u. Factor x*a + 1/6 - 1/6*a**2.
-(a - 1)*(a + 1)/6
Let x be -7 - (134/(-10) - -6). What is v in -4/5 - 6/5*v - x*v**2 = 0?
-2, -1
Solve -6/11 + 2/11*i**2 + 4/11*i = 0.
-3, 1
Let j(w) = w**2 - 4. Let d be j(3). Let n(g) = -7*g**2 + 5*g + 5. Let s(z) = 4*z**2 - 3*z - 3. Let k(i) = d*s(i) + 3*n(i). Factor k(c).
-c**2
Let k = 6 + -4. Factor 2*y - 15*y**k + 18*y**3 - 9*y**3 + 4*y.
3*y*(y - 1)*(3*y - 2)
Let j(g) be the first derivative of 3*g**4/16 - 7*g**3/4 + 9*g**2/4 - 19. Solve j(u) = 0.
0, 1, 6
Let w(f) = -f**3 - 9*f**2 - 15*f - 11. Let n(s) be the first derivative of -s**3/3 - s*