-c*y**3 - 9*y + 27/5 + 21/5*y**2.
-3*(y - 3)**2*(y - 1)/5
Determine t so that t**2 - 12 - 42*t - 40*t + t**3 + 90*t - 2*t**3 = 0.
-3, 2
Let j = 3093/2 + -1545. Find c such that 3/2*c**3 - j*c**2 + 3/2 - 3/2*c = 0.
-1, 1
Let q = -2/9 - -28/45. Factor 2/5*o**2 - q*o + 0.
2*o*(o - 1)/5
Let p(f) = f**4 - f**3 - f**2 + f. Let c(a) = 19*a - 74*a**4 + 8*a - 43*a**3 + 4 + 70*a**2 + 16*a. Let k(m) = -3*c(m) + 21*p(m). Find h such that k(h) = 0.
-1, -2/9, 1
Factor 97*v**3 - 40 + 100*v + 8*v**2 - 122*v**3 + 0*v**2 + 2*v**2.
-5*(v - 2)*(v + 2)*(5*v - 2)
Let z = 67 + -65. Let f(p) be the third derivative of 0*p**5 + 0*p**3 + 0*p**7 + 0*p**4 + 0 + 0*p**6 - 1/1176*p**8 - z*p**2 + 0*p. Find r such that f(r) = 0.
0
Let p = -624/35 - -136/7. Factor -2/5*x**2 - 8/5 - p*x.
-2*(x + 2)**2/5
Let x(y) = y**5 + y**4 + y**3 + y**2 - y. Let s(r) = -15*r**5 - 18*r**4 - 24*r**3 - 18*r**2 + 21*r. Let n(j) = s(j) + 18*x(j). Factor n(i).
3*i*(i - 1)**2*(i + 1)**2
Suppose o = 4*l + 8, -3*l = -0*o - 5*o + 40. What is j in o*j + j**4 - 16*j**2 + 2*j**3 + 0*j**4 + 5*j**4 = 0?
-2, 0, 2/3, 1
Let u(n) be the first derivative of n**6/30 - 6*n**5/25 + 11*n**4/20 - 2*n**3/15 - 6*n**2/5 + 8*n/5 + 13. Factor u(b).
(b - 2)**3*(b - 1)*(b + 1)/5
Suppose 0 = 2*k - 2*v - 1 + 5, 0 = 3*k + v - 10. Let t(f) be the second derivative of k*f + 0*f**2 + 0*f**3 + 0 + 1/48*f**4. Factor t(c).
c**2/4
Let i(o) = -o**2 - 8*o - 5. Let h be -1*1*21/3. Let n be i(h). Determine b, given that -5*b**3 - 3*b**2 - 4*b + 6*b**2 + 2*b + 4*b**n = 0.
0, 2/5, 1
Let -1/2*k**3 + 0 - 1/4*k**4 + 0*k + 0*k**2 = 0. Calculate k.
-2, 0
Let w(o) be the first derivative of 2*o**5/35 + o**4/14 - 2*o**3/21 - o**2/7 + 4. Suppose w(r) = 0. What is r?
-1, 0, 1
Let g(u) be the second derivative of -u**6/10 - 3*u**5/20 + u**4/4 + u**3/2 - 4*u. Find m such that g(m) = 0.
-1, 0, 1
Determine t, given that 6 + 9 - 17 + 2*t**2 = 0.
-1, 1
Let i(r) be the third derivative of -1/8*r**6 + 1/70*r**7 + 0 + r**3 + 0*r + r**2 + 9/20*r**5 - 7/8*r**4. Factor i(o).
3*(o - 2)*(o - 1)**3
Let y(r) be the third derivative of r**8/80640 + r**7/10080 - r**5/30 + 4*r**2. Let m(o) be the third derivative of y(o). Factor m(p).
p*(p + 2)/4
Let o(v) be the second derivative of -v**5/70 - v**4/21 - v**3/21 - 5*v. Let o(u) = 0. What is u?
-1, 0
Let b(u) = -33*u + 3. Let s be b(-2). Let m be 1/(-4) - s/(-84). Factor -2/7*l**4 + 0 + m*l**3 - 2/7*l**2 + 0*l.
-2*l**2*(l - 1)**2/7
Let x(n) = -6*n**2. Let g(t) = -t**2. Suppose -v + 3 = -0. Let u be (-1)/(v/(-3)) + 3. Let f(c) = u*g(c) - x(c). Solve f(y) = 0.
0
Let s(h) = h**3 - 3*h**2 + h + 1. Let o be s(3). Find w, given that 0*w**4 + 6*w**5 + 7*w**4 - 2*w**3 + 3*w**o - 7*w - 10*w**2 + 3*w = 0.
-1, -2/3, 0, 1
Let s(l) be the third derivative of -l**5/24 - 25*l**4/48 + 5*l**3/2 + 18*l**2. Factor s(t).
-5*(t - 1)*(t + 6)/2
Find b, given that 4/3*b + 1/3*b**4 - 5/3*b**2 + 1/3*b**5 + 4/3 - 5/3*b**3 = 0.
-2, -1, 1, 2
Let g(k) be the first derivative of 4 + 0*k**2 - 1/2*k**6 - 9/4*k**4 - k**3 - 9/5*k**5 + 0*k. Factor g(c).
-3*c**2*(c + 1)**3
Let b(p) = p + 11. Let t be b(-9). Let a = 67/2 - 33. Factor a*k**2 + 2 + t*k.
(k + 2)**2/2
Suppose 0 + 1/2*f**2 + 3*f = 0. What is f?
-6, 0
Let h be (-2)/(1 - 0) + 2. Suppose -4*g + 6*g = h. Find j such that 6*j**3 - 9*j**4 + 2*j**5 + 3*j**4 - 2*j**2 + g*j**2 = 0.
0, 1
Let n(m) = -5*m + 27. Let t be n(5). Solve 2/7*r**t - 4/7*r + 0 = 0.
0, 2
Let q(d) be the first derivative of 2*d**3/3 - d**2 - 5. Factor q(u).
2*u*(u - 1)
Let x be (12/(-132))/(1/(-8)). Factor -8/11*k + 2/11*k**2 + x.
2*(k - 2)**2/11
Let j(f) = f**2 + 1. Suppose 5*x - 104 = 61. Let g(a) = 6*a**2 + 5. Let z(b) = x*j(b) - 6*g(b). Factor z(p).
-3*(p - 1)*(p + 1)
Let w(k) be the second derivative of k**7/42 + k**6/15 + k**5/20 - 7*k. Factor w(p).
p**3*(p + 1)**2
Let q(h) be the second derivative of -2*h**7/21 + 14*h**6/15 - 16*h**5/5 + 8*h**4/3 + 32*h**3/3 - 32*h**2 - 7*h. Suppose q(l) = 0. Calculate l.
-1, 2
Let x(f) be the second derivative of f**4/30 + 15*f. Find j, given that x(j) = 0.
0
Let a = -69 + 75. Let p(u) = 8*u**2 + u**3 + 6*u**2 - 6 - 8*u - u**2. Let b(q) = q**3 + 25*q**2 - 15*q - 11. Let z(j) = a*b(j) - 11*p(j). Factor z(c).
-c*(c - 1)*(5*c - 2)
Let v(z) = 3*z**2 + 6*z - 1. Let x(m) = 4*m**2 + 7*m - 1. Let l = -1 - -11. Suppose -5*t - l = 15. Let a(r) = t*v(r) + 4*x(r). Factor a(h).
(h - 1)**2
Factor 11 - 4*y**2 - 33 + 14 - 12*y.
-4*(y + 1)*(y + 2)
Let l(x) be the first derivative of x**7/1575 - x**5/150 - x**4/90 - x**2 + 2. Let o(r) be the second derivative of l(r). Factor o(b).
2*b*(b - 2)*(b + 1)**2/15
Let l(v) = 7*v + 51. Let y be l(-7). Suppose -2/9*i**y + 2/9*i**5 + 0 + 2/9*i**4 + 0*i - 2/9*i**3 = 0. What is i?
-1, 0, 1
Find h such that -12*h**3 + 10*h**4 - 8*h + 18*h**2 + 3 - 4*h - 7*h**4 + 0 = 0.
1
Factor 0 + 0*r - 12/7*r**2 - 4/7*r**4 - 16/7*r**3.
-4*r**2*(r + 1)*(r + 3)/7
Suppose 5*k - 5*h + 0*h + 35 = 0, 4*k - 2*h = -18. Let i be 1/(-4)*k - 0. Solve 0*o + 1/2*o**2 - i = 0 for o.
-1, 1
Suppose -1 - 2*w + 5 + w**2 - 3*w = 0. Calculate w.
1, 4
Let n be 6/10*(0 + 4/6). Factor -n*r**2 - 6/5*r + 0.
-2*r*(r + 3)/5
Let v = -6 + 9. Solve b - 3*b**3 + b**3 + v*b - 2*b = 0 for b.
-1, 0, 1
Let q be 6/(-15) + (-115)/(-175). Let u = q + 1/35. Factor 2/7 - 8/7*j**3 + 8/7*j - u*j**2.
-2*(j - 1)*(j + 1)*(4*j + 1)/7
Let m(v) be the second derivative of 2/3*v**4 + v**2 + 3*v - 5/3*v**3 + 0. Suppose m(p) = 0. Calculate p.
1/4, 1
Solve 1/3*h + h**5 - 4/3*h**3 - 2/3*h**2 + 2/3*h**4 + 0 = 0.
-1, 0, 1/3, 1
Factor 4/7*b - 4/7*b**3 + 8/7 - 8/7*b**2.
-4*(b - 1)*(b + 1)*(b + 2)/7
Let k(i) be the third derivative of i**9/30240 + i**8/1680 + i**7/210 + i**6/45 + i**5/60 + i**2. Let o(u) be the third derivative of k(u). Factor o(h).
2*(h + 2)**3
Let f(u) = -u**2 + 9*u - 8. Let m be f(8). Suppose q + 1 = 0, m = 2*o - 3*q + 7*q + 4. Factor o*p**2 - 3/2*p**3 + 0*p + 0.
-3*p**3/2
Let k(g) = -g**4 + 3*g**3 - 9*g**2. Let b(p) = -2*p**4 + 5*p**3 - 18*p**2. Let r(l) = -3*b(l) + 7*k(l). Factor r(c).
-c**2*(c - 3)**2
Let b(t) be the first derivative of 1/5*t - 3/10*t**2 - 7 - 3/25*t**5 + 2/15*t**3 + 1/10*t**4 + 1/30*t**6. Solve b(q) = 0.
-1, 1
Let y(o) be the second derivative of -o**8/13440 + o**7/5040 - o**4/6 - o. Let c(b) be the third derivative of y(b). Find l such that c(l) = 0.
0, 1
Factor -2*h**2 + 5*h - 38 + 69 + 3*h - 37.
-2*(h - 3)*(h - 1)
Let d = -6 - -6. Suppose -2*a + d*o = 2*o, o - 12 = -5*a. Let -1 - 1/2*y**2 - 5/2*y**a + 3/2*y**4 + 5/2*y = 0. What is y?
-1, 2/3, 1
Solve 1/2*p**4 - 1/2*p**5 - p + 0 + 3/2*p**3 - 1/2*p**2 = 0.
-1, 0, 1, 2
Let g(i) be the second derivative of 0*i**3 + 1/3*i**2 - 1/18*i**4 - 7*i + 0. Let g(o) = 0. What is o?
-1, 1
Factor 1/3*a**2 - 1/6*a**3 + 1/6*a - 1/3.
-(a - 2)*(a - 1)*(a + 1)/6
Suppose -z = 2*j + 2 + 2, j - 5 = -4*z. Factor z*p - 2*p**2 + 0 + 1/2*p**3.
p*(p - 2)**2/2
Let n be 1/3 - 408/9. Let o = n + 181/4. Factor -1/4*u**2 + 0 - o*u.
-u*(u + 1)/4
Let n(u) = 8*u**3 - 2*u**2 - 10*u + 2. Let q(x) = -40*x**3 + 10*x**2 + 51*x - 10. Let r(y) = 22*n(y) + 4*q(y). Factor r(w).
4*(w - 1)*(w + 1)*(4*w - 1)
Suppose 9 + 26 = 5*m. Factor 5*z**3 + 5*z**3 + 7*z**3 - 16*z**2 - 2*z + 2 + m*z**3.
2*(2*z - 1)**2*(3*z + 1)
Factor -6/5 + 1/5*x**2 - 1/5*x.
(x - 3)*(x + 2)/5
Suppose 0 = -s - 4*s - 4*p + 58, 2*s + 4*p = 16. Determine t, given that -1 + 4*t**2 - 6*t - 8*t - 3 + s*t**3 = 0.
-1, -2/7, 1
Find h such that 3/2*h**3 + 0*h**2 + 3/4*h**4 + 0 + 0*h = 0.
-2, 0
Let p be 11/((-55)/6)*(-10)/4. Let i(s) be the second derivative of 1/54*s**4 + 0 + 1/27*s**p - 3*s + 0*s**2. Factor i(w).
2*w*(w + 1)/9
Let w = 191/4 - 13951/292. Let n = w + 79/219. Find q such that n + 0*q - 1/3*q**2 = 0.
-1, 1
Let c(k) be the first derivative of k**3/6 + 3*k**2/4 + k - 1. Factor c(y).
(y + 1)*(y + 2)/2
Let y be (-1)/((-2)/16*2). Solve 5*v**3 + 2*v**2 + 2*v**4 + 2*v**y - v - 6*v**4 - 4*v**3 = 0.
-1, 0, 1/2, 1
Let s = -4/3477 - -1735051/24339. Let o = -71 + s. Factor o*k**3 - 2/7 + 2/7*k**2 - 2/7*k.
2*(k - 1)*(k + 1)**2/7
Let u be 2 - -4 - (4 + 0). Let g be (1 - u) + (-66)/(-54). Factor 0*a - g + 2/9*a**2.
2*(a - 1)*(a + 1)/9
Let v(p) be the third derivative of -p**5/30 + p**4/6 + 6*p**2. Factor v(b).
-2*b*(b - 2)
Let b be (-2)/((-18)/(-1 - -4)). Let t(h) be the first derivative of 0*h**4 - 3 + 1/10*h**5 - b*h**3 + 1/2*h + 0*