actor -14/5*t**3 - q*t - 24/5*t**2 + 4/5.
-2*(t + 1)**2*(7*t - 2)/5
Let n be (9/6)/(3/4). Suppose -2*z**n + 2 - 4*z**2 + 0*z**2 + 4*z**2 = 0. Calculate z.
-1, 1
Let f(d) = 7*d**2 - 5*d + 3. Let k(p) = 10*p**2 - 7*p + 4. Suppose -2*z + 1 = -3. Suppose 0 = 7*h - z*h + 35. Let l(x) = h*f(x) + 5*k(x). Factor l(a).
(a - 1)*(a + 1)
Let n(g) be the third derivative of g**7/140 + 3*g**6/80 + 9*g**2. Factor n(p).
3*p**3*(p + 3)/2
Let b(y) be the second derivative of y**5/4 - 10*y**4/3 + 65*y**3/6 - 15*y**2 + 38*y. What is l in b(l) = 0?
1, 6
Let z(s) be the first derivative of -1/6*s**6 - s**5 - 10/3*s**3 - 5/2*s**4 - s - 3 - 5/2*s**2. Find y, given that z(y) = 0.
-1
Let n(l) be the second derivative of 4*l**7/273 - 7*l**6/195 - 3*l**5/65 + 7*l**4/78 + 2*l**3/39 + 25*l + 2. Let n(w) = 0. What is w?
-1, -1/4, 0, 1, 2
Let z = 20 + -11. Suppose 13 - z = 2*j. Factor -1/4*l**j - 1/2 - 3/4*l.
-(l + 1)*(l + 2)/4
Suppose -3*v + 0*v = -6. Suppose v*f = -0*f. Factor f + 1 - y**2 + 4 - 4.
-(y - 1)*(y + 1)
Let o(i) = -6*i**2 + 5*i - 2 + 41*i**3 + 38*i**2 - 6*i. Let t(q) = q**3 - q**2. Let m(b) = -2*o(b) + 10*t(b). Factor m(z).
-2*(z + 1)*(4*z + 1)*(9*z - 2)
Let r(v) be the second derivative of v**9/7560 + v**8/3360 - v**4/4 - 4*v. Let x(z) be the third derivative of r(z). Let x(f) = 0. What is f?
-1, 0
Let u(o) be the second derivative of -o**6/120 + o**4/24 + o**2 - 3*o. Let d(m) be the first derivative of u(m). Determine z so that d(z) = 0.
-1, 0, 1
Let z be 0/1*(21 - 20). Let j(v) be the third derivative of v**2 + 0*v + 1/360*v**6 + z - 1/90*v**5 + 1/9*v**3 - 1/72*v**4. Let j(q) = 0. What is q?
-1, 1, 2
Suppose 0 = -2*g + 3*g - 1. Let y = 1 - g. Factor 1/4*c**5 - 1/4*c**2 + 1/4*c**4 + y + 0*c - 1/4*c**3.
c**2*(c - 1)*(c + 1)**2/4
Suppose -2*c + 6 = -z + 5*z, 0 = -c - 1. Determine v, given that -6*v**3 + z*v + 3*v**5 - 3*v**4 - v + v + v - 3 + 6*v**2 = 0.
-1, 1
Suppose -8*m - 2 = -2. Let d(u) be the first derivative of 0*u - 1/9*u**3 + m*u**2 + 2/3*u**4 + 2 - u**5. Determine w, given that d(w) = 0.
0, 1/5, 1/3
Factor 0 - 1/2*h**2 - 1/2*h**5 + 1/2*h**4 + 0*h + 1/2*h**3.
-h**2*(h - 1)**2*(h + 1)/2
Solve -4/3*o**3 + 4*o**2 - 4*o + 4/3 = 0 for o.
1
Let t(g) be the first derivative of 2/5*g + 2/15*g**3 - 2/5*g**2 - 2. Suppose t(u) = 0. Calculate u.
1
Suppose 0*g - 25 = -5*g. Factor -2*l**4 + l - 2*l**4 - 2*l**2 + 5*l**4 + l**4 - l**g.
-l*(l - 1)**3*(l + 1)
Let x(q) be the third derivative of 5*q**8/336 - q**7/30 - q**6/40 + 7*q**5/60 - q**4/12 - 41*q**2. Find d such that x(d) = 0.
-1, 0, 2/5, 1
Let n(i) be the second derivative of -i**4/12 - i**3/3 + 2*i - 4. Find p, given that n(p) = 0.
-2, 0
Let z(n) = n**4 - 3*n**3 + 7*n**2 + 7*n - 4. Let q = -6 + 10. Let f(a) = -6*a**4 + 15*a**3 - 36*a**2 - 36*a + 21. Let x(p) = q*f(p) + 21*z(p). Factor x(k).
-3*k*(k - 1)*(k + 1)**2
Let r be 4*(-2 + 5/2). Let h = -5 - -9. Factor -8*y**3 - 6*y**4 + 2*y**3 - 3*y**h - 4*y**5 - r*y**2 + y**2.
-y**2*(y + 1)**2*(4*y + 1)
Let q(j) = -90*j - 90. Let f be q(-1). Determine s, given that 4/5*s**4 + 0*s + f*s**2 - 8/5*s**3 + 0 = 0.
0, 2
Let n(d) = 5*d**2 - d + 1. Let i(m) = 2*m**2 - m. Let c(s) = -7*i(s) + 3*n(s). Find r such that c(r) = 0.
-3, -1
Let n(z) be the second derivative of -z**6/6 - z**5/2 - 5*z**4/12 + 7*z. Factor n(p).
-5*p**2*(p + 1)**2
Find g, given that -4/9*g**4 + 0 + 0*g - 8/9*g**2 - 4/3*g**3 = 0.
-2, -1, 0
Let g(w) be the second derivative of -2*w**7/105 - w**6/25 + w**5/25 + 2*w**4/15 - w**2/5 - 3*w. Solve g(l) = 0.
-1, 1/2, 1
Suppose r + 3*r + 16 = 0. Let f be r/(-5)*1/2. Let 0 - 7/5*i**3 + i**2 + f*i = 0. Calculate i.
-2/7, 0, 1
Let g = -51/91 + 20264/273. Let h = g + -73. Factor 2/3*j + 2/3*j**2 - h - 2/3*j**3.
-2*(j - 1)**2*(j + 1)/3
Let t = -41 + 57. Let n = t - 12. Factor 0*d + 2/7*d**5 + 2/7*d**n + 0 + 0*d**2 + 0*d**3.
2*d**4*(d + 1)/7
Let c = 1/5 + 2/15. Factor -c*u**2 - 4/3 + 4/3*u.
-(u - 2)**2/3
Let j(k) be the third derivative of 1/210*k**5 + 0*k + 0*k**3 + 0 + 0*k**4 + k**2 - 1/420*k**6. Factor j(l).
-2*l**2*(l - 1)/7
Let s(u) = u**2 - 12*u - 11. Let h = 13 - 0. Let r be s(h). Let 0*m**r + 4/5*m - 2/5 - 4/5*m**3 + 2/5*m**4 = 0. Calculate m.
-1, 1
Let p(b) be the second derivative of -3*b**5/140 - 3*b**4/28 - 3*b**3/14 - 3*b**2/14 + 2*b. Factor p(z).
-3*(z + 1)**3/7
Let z = -5 - -7. Let l be z/(-4)*16/(-2). What is a in 0*a**l - 4*a**4 + 2*a**2 + 2*a**4 = 0?
-1, 0, 1
Suppose 0 - 3/4*l - 1/4*l**2 = 0. Calculate l.
-3, 0
Let t be (-15)/(-10) + (-14)/12. Let v(b) be the second derivative of 1/6*b**4 - 2*b - t*b**3 + 0*b**2 + 1/2*b**5 + 1/5*b**6 + 0. Suppose v(x) = 0. What is x?
-1, 0, 1/3
Let n(g) = -g - 4. Let x(z) = z**3 + 5*z**2 + 2*z + 4. Let p be x(-5). Let m be n(p). Factor 3*v - 8 + 6*v**m + 8.
3*v*(2*v + 1)
Suppose 7*x = 15*x - 24. Let k(p) be the second derivative of p**2 + 0 + 1/3*p**4 - 5/6*p**x + 4*p - 1/20*p**5. Determine b so that k(b) = 0.
1, 2
Suppose -2*l**2 + 0 + 4/3*l + 2/3*l**3 = 0. Calculate l.
0, 1, 2
Let z = 13 + -13. Let i(y) be the third derivative of -1/8*y**3 - 1/16*y**4 + z*y - 4*y**2 + 0 - 1/80*y**5. Suppose i(h) = 0. Calculate h.
-1
Let n(o) be the third derivative of -o**8/10080 + o**6/360 + o**5/15 - o**2. Let k(y) be the third derivative of n(y). Factor k(b).
-2*(b - 1)*(b + 1)
Let b(q) = q**2 + 4*q - 3. Let t(l) = 2*l**2 + 7*l - 5. Let h(k) = -5*b(k) + 3*t(k). Factor h(z).
z*(z + 1)
Suppose 0 = 2*a + 3*x - 476, -2*x + 46 - 1236 = -5*a. Solve a*s**4 + 19*s**3 + 141*s**3 - 32 - 368*s**2 - 224*s - 21*s**5 - 77*s**5 = 0 for s.
-1, -2/7, 2
Let g(c) be the third derivative of c**11/110880 - c**9/20160 + c**5/15 - 4*c**2. Let p(z) be the third derivative of g(z). What is q in p(q) = 0?
-1, 0, 1
Suppose -z + 0*z + 2 = 0. Suppose -4/11 + 2/11*h**z + 2/11*h = 0. What is h?
-2, 1
Suppose -4/7 - 3/7*y**4 - 1/7*y**5 + 0*y + 1/7*y**3 + y**2 = 0. Calculate y.
-2, -1, 1
Let b(c) be the second derivative of 1/30*c**5 + 1/9*c**3 + 1/9*c**4 + c + 0 + 0*c**2. Solve b(d) = 0 for d.
-1, 0
Suppose -3*w - 2*w = -4*h + 21, 3*h + w - 11 = 0. Let t be -2 + 0 + 0 + h. Let -4*n**t + n**2 + n**2 + 2*n**3 = 0. Calculate n.
0, 1
Let y be 12/2 - (-460)/(-80). Factor -1/2*g**3 + y*g**2 + 0*g + 0.
-g**2*(2*g - 1)/4
Factor 0 - 10/7*z**4 + 18/7*z**3 + 4/7*z - 2*z**2 + 2/7*z**5.
2*z*(z - 2)*(z - 1)**3/7
Let j(w) = w**3 + 2*w**2 - 2*w - 4. Let v(x) = x**3 + x**2 - x - 1. Let q(g) = -j(g) + 2*v(g). Let s be q(0). Factor 0 - 2 + 4*p + 14*p**s + 7*p**3 + p**3 + 0.
2*(p + 1)**2*(4*p - 1)
Let j(a) be the first derivative of -4*a**5/35 + 2*a**4/7 + 4*a**3/21 - 4*a**2/7 + 19. Factor j(h).
-4*h*(h - 2)*(h - 1)*(h + 1)/7
Let g(v) be the third derivative of 1/60*v**5 + 0 - 6*v**2 + 0*v + 1/120*v**6 - 1/24*v**4 - 1/6*v**3. Find r such that g(r) = 0.
-1, 1
Let b(i) be the third derivative of i**8/21 - 31*i**7/105 + 3*i**6/5 - 11*i**5/30 - i**4/6 + 24*i**2. Find f, given that b(f) = 0.
-1/8, 0, 1, 2
Let p be 11/15 + (-21)/7. Let q = -8/5 - p. Solve 0 - 2/3*f - 4/3*f**2 - q*f**3 = 0 for f.
-1, 0
Let r(v) = -v**4 + v**2 + v. Let l(g) = -2*g**5 - 4*g**4 + 4*g**3 + 6*g**2 - 2. Let f(b) = -2*l(b) + 4*r(b). Factor f(q).
4*(q - 1)**2*(q + 1)**3
Suppose -3*u = -5*u + 2. Let j be u*(-30)/9 + 4. What is r in 4/3*r**2 + 0 + j*r**5 - 4/3*r**4 + 0*r**3 - 2/3*r = 0?
-1, 0, 1
Suppose j - 4*j = -12. Factor -2*p**5 + 0*p - 3*p - 11*p**2 - 3*p + 7*p**2 + 8*p**3 + j.
-2*(p - 1)**3*(p + 1)*(p + 2)
Let z(l) be the second derivative of l**7/21 + l**6/15 - l**5/10 - l**4/6 + 3*l. Factor z(n).
2*n**2*(n - 1)*(n + 1)**2
Let r(k) be the third derivative of 0 + 0*k - 4*k**2 - 1/3*k**3 - 1/30*k**6 + 0*k**5 + 1/105*k**7 + 1/6*k**4. Factor r(z).
2*(z - 1)**3*(z + 1)
Let c be (-26)/18 - 1/((-2)/3). Let n(y) be the third derivative of 0 - c*y**3 + 0*y + 2*y**2 + 1/360*y**6 - 1/72*y**4 + 1/180*y**5. Factor n(h).
(h - 1)*(h + 1)**2/3
Let q(x) be the first derivative of 1/24*x**4 - 1/6*x**3 + 0*x + 1/6*x**2 + 3. Suppose q(k) = 0. What is k?
0, 1, 2
Let k = 28 - 28. Let y(i) be the first derivative of -1/3*i**3 - 1 + k*i**2 + 1/6*i**6 + 1/5*i**5 + 0*i - 1/4*i**4. Factor y(o).
o**2*(o - 1)*(o + 1)**2
Suppose 7 = 7*m - 14. Solve 882/11*j**m - 686/11*j**4 - 140/11*j**2 - 72/11*j + 16/11 = 0.
-2/7, 2/7, 1
Let z(k) = 3*k**5 + 13*k**4 - 59*k**3 + 59*k**2 + 5*k. Let w(h) = -4*h**5 - 12*h**4 + 60*h**3 - 60*h**2 - 6*h. L