-1/2*p**4 + 1 + 0*p - 2/3*p**3 + 2*p**2. Factor f(z).
-2*z*(z - 1)*(z + 2)
Let h be 1/(-3 + (-111)/(-36)). Factor -h + 2*n**2 + 3*n**2 - 6*n**3 - 3*n**4 + 6*n + 6*n + 4*n**2.
-3*(n - 1)**2*(n + 2)**2
Let t = 218 + -86. Let d = t - 656/5. Determine r, given that -d*r + 2/5*r**2 + 2/5 = 0.
1
Let h(b) be the second derivative of b**5/60 + b**4/72 - 3*b**2/2 + 2*b. Let y(z) be the first derivative of h(z). Find d, given that y(d) = 0.
-1/3, 0
Let u(r) = 2*r**2 + 4*r - 1. Let o be u(-3). Suppose 3*k - 2*p = 14, -3*k = -o*p - 15 - 11. Factor 2*m**k + 1 - 3*m**4 - 1 - m**3.
-m**2*(m + 1)*(3*m - 2)
Let b(m) = -m**3 - 3*m**2 + 3*m + 1. Let f be b(-4). Find r such that -8*r**2 - r - 2*r + 4*r**3 + r + 24*r**4 - 18*r**f = 0.
-1/3, 0, 1
Suppose 0 = -0*r + 2*r + 5*x, 2*r - x = 12. Factor 16*o**2 + 2*o**3 + 3*o**3 - o**3 + 21*o - r*o.
4*o*(o + 2)**2
Suppose a + 5*f + 1 = 0, 4*a = 2*f + f + 19. Suppose 3*i - 4 = i. Suppose -4*t**3 + i + 3*t + t - 2*t**a + 0*t = 0. What is t?
-1, 1
Let j(b) = 3*b**2 - 4*b - 2. Let u(g) = -48*g**2 + 63*g + 33. Let y = -10 - -43. Let n(p) = y*j(p) + 2*u(p). Solve n(i) = 0.
0, 2
Let z be ((-4)/(-3))/((-1482)/(-171)). Factor -z*c**3 + 6/13*c**2 + 0*c - 8/13.
-2*(c - 2)**2*(c + 1)/13
Let w(u) be the second derivative of -u**4/3 - 2*u**3 - 23*u. Factor w(z).
-4*z*(z + 3)
Factor 4/7*k**2 + 1/7*k - 4/7 - 1/7*k**3.
-(k - 4)*(k - 1)*(k + 1)/7
Let o(s) be the second derivative of 1/27*s**3 - 2/9*s**2 - s + 1/27*s**4 - 1/90*s**5 + 0. Factor o(p).
-2*(p - 2)*(p - 1)*(p + 1)/9
Let i(s) be the first derivative of s**6/42 + 3*s**5/35 - s**4/28 - s**3/3 + 4*s/7 - 31. Let i(c) = 0. Calculate c.
-2, -1, 1
Let g(f) be the first derivative of f**6/27 + 2*f**5/45 - f**4/18 - 2*f**3/27 + 4. Suppose g(x) = 0. What is x?
-1, 0, 1
Let q(y) = -2*y**2 + 12*y. Let n be q(6). Let m(p) be the first derivative of n*p + p**2 + 4/3*p**3 + 3. Factor m(z).
2*z*(2*z + 1)
Suppose 0 = -5*i + 4*q - 24, 3*q = 3*i + 2*q + 13. Let o be (i/(-8))/((-1)/(-4)). Factor 2*v - o*v - 2*v - 3*v**2.
-v*(3*v + 2)
Let y(g) = -7*g - 47. Let n be y(-7). Factor 1/2*m**n + 1/2*m - 1.
(m - 1)*(m + 2)/2
Factor 12*u**4 + 3*u**3 + 2*u - 10*u**4 - 5*u**3 - 2*u**2.
2*u*(u - 1)**2*(u + 1)
Find x such that 6*x**4 - 4*x**2 + 8*x**2 - 10*x**4 = 0.
-1, 0, 1
Let r be (266/9)/7 + 2. What is h in -34/9*h - 4/9 - 86/9*h**2 - r*h**3 = 0?
-1, -2/7, -1/4
Let b = -1027/7 + 147. Suppose -3*k + 14 = 5*n, 10 = 5*k + 5*n - 10. Factor 0*q + b*q**2 - 2/7*q**4 - 2/7*q**k + 2/7*q**5 + 0.
2*q**2*(q - 1)**2*(q + 1)/7
Let f(u) = -9*u**4 - 5*u**3 - u**2 + 7*u - 3. Let y(i) = -44*i**4 - 26*i**3 - 4*i**2 + 34*i - 14. Let k(c) = 14*f(c) - 3*y(c). Factor k(s).
2*s*(s + 1)**2*(3*s - 2)
Factor 0*f + 1/3*f**2 + 1/3*f**3 + 0.
f**2*(f + 1)/3
Suppose 2*j + 2*z - 10 = 0, -j = -5*z - 0 + 1. Suppose 2*b = c - j*c + 22, 0 = -5*c - b + 25. Factor -2/3 - 2/3*n**c + 8/3*n - 4*n**2 + 8/3*n**3.
-2*(n - 1)**4/3
Suppose y = 2*y + 4, 24 = 3*v - 3*y. Let p be (1/(-2))/(8/(-48)). Determine u so that u**3 - u - u**3 - 3*u**2 - p*u**3 - u**v = 0.
-1, 0
Let x = 7 + -8. Let h = x - -4. Find y, given that -6/7*y**h + 0 + 4/7*y**4 + 0*y**2 + 2/7*y = 0.
-1/2, 0, 1
Let y(f) be the second derivative of f**4/3 + 4*f**3 - 14*f**2 + 13*f. Find k such that y(k) = 0.
-7, 1
Factor -7/4*u**2 + 2*u - 5/4*u**3 + 1.
-(u - 1)*(u + 2)*(5*u + 2)/4
Factor 0 - 2/19*v - 2/19*v**2 + 2/19*v**4 + 2/19*v**3.
2*v*(v - 1)*(v + 1)**2/19
Let p be (1 + -2)/1*-1. Let m be ((-3)/27)/(p/(-3)). What is r in m*r**3 - 2/3*r**2 + 0 + 1/3*r = 0?
0, 1
Let w = 27 - 16. Let i = w + -9. Factor 2*g + g + 6*g - 3*g + g**i + 9.
(g + 3)**2
Let 6/5*x**2 - 2/5*x**3 + 0 - 4/5*x = 0. Calculate x.
0, 1, 2
Let n(x) be the third derivative of -x**5/30 + x**4/6 - 3*x**2. Factor n(i).
-2*i*(i - 2)
Let k(z) be the third derivative of -z**4/12 - 5*z**3/3 - 2*z**2. Let d be k(-8). Find y such that d*y**3 - 11 + 11 - 6*y**4 + 2*y**5 - 2*y**2 = 0.
0, 1
Let i(y) be the first derivative of -6*y - 33/4*y**4 - 15*y**3 - 9 - 27/2*y**2 - 9/5*y**5. Determine f, given that i(f) = 0.
-1, -2/3
Let x(u) be the third derivative of -u**5/100 - 3*u**4/20 - 9*u**3/10 + 5*u**2. Factor x(g).
-3*(g + 3)**2/5
Let m = -199/3 + 67. Factor -m - 1/3*k**2 + k.
-(k - 2)*(k - 1)/3
Factor -6/5*c**3 - 3/5*c**2 + 6/5*c + 3/5.
-3*(c - 1)*(c + 1)*(2*c + 1)/5
Let p(n) be the first derivative of -3*n**5/5 + 15*n**4/4 - 9*n**3 + 21*n**2/2 - 6*n + 4. Let p(k) = 0. Calculate k.
1, 2
Let q be 63/18*(-12)/(-7). Let t(h) be the first derivative of -5/7*h**4 + 2/7*h + 1 + 2/21*h**3 + 4/7*h**2 + 8/21*h**q - 8/35*h**5. What is b in t(b) = 0?
-1/2, 1
Suppose -7*m + 2*m + 10 = 0. Factor -2*s**2 - 4*s**4 - 5*s**3 + s**5 + 0*s**5 + 0*s**3 - m*s**5.
-s**2*(s + 1)**2*(s + 2)
Suppose -11*l + 4 + 18 = 0. Factor l*o - 3/2*o**3 + 2 - 5/2*o**2.
-(o - 1)*(o + 2)*(3*o + 2)/2
Let q = -22 - -36. Let b = -14 + q. What is y in -2/3*y**5 + 0*y**4 + 0*y**2 - 2/3*y + 4/3*y**3 + b = 0?
-1, 0, 1
Let o(q) = 275*q**3 + 615*q**2 + 310*q. Let c(w) = -25*w**3 - 56*w**2 - 28*w. Let t(l) = -45*c(l) - 4*o(l). Determine f, given that t(f) = 0.
-2, -2/5, 0
Let i(z) = -z**2 + 8*z - 12. Let w be i(9). Let q = 21 + w. Let q + 4/9*k - 2/9*k**2 = 0. What is k?
0, 2
Let p(d) = d - 8. Let y be p(11). Let a be y/((-9)/(-12)) - 0. Let 2/5*x**2 + 2/5*x**3 - 2/5*x**a - 2/5*x + 0 = 0. Calculate x.
-1, 0, 1
Let m(j) = -j + 2. Let f(b) = -b**3 - 4*b**2 - 3*b. Let o be f(-2). Let a be m(o). Let -3*i**2 + 11 - 3*i**a + 6*i**3 - 11 = 0. Calculate i.
0, 1
Suppose 0 = -6*h + 4*h + 10. Suppose -4*i = -2*i + 4, -h*i = w + 6. Factor -6 + 3 + 5*k + 3 - 2 - w*k**2 + k**3.
(k - 2)*(k - 1)**2
Let c(u) be the second derivative of -5*u**7/42 + u**6/6 + u**5/4 - 5*u**4/12 - 28*u. Find l, given that c(l) = 0.
-1, 0, 1
Let n be -4 - ((-29792)/36)/7. Let w = -114 + n. Factor 2/9*h**2 - 2/9*h**3 - w*h**4 + 0*h + 2/9*h**5 + 0.
2*h**2*(h - 1)**2*(h + 1)/9
Let -3/2*k - 3 + 3*k**2 + 3/2*k**3 = 0. What is k?
-2, -1, 1
Let n(w) = w**3 - 4*w**2 + 3*w + 2. Let v be n(3). Factor g**v + 0*g**2 + 0*g**3 - 2*g + g**3.
g*(g - 1)*(g + 2)
Let o be (5/40)/((-4)/(-16)). Factor -o*g + 0 - 1/4*g**2.
-g*(g + 2)/4
Let j(a) = 8*a**4 + 6*a**3 + 3*a**2 - 6*a. Let x(o) = -3*o**4 - 2*o**3 - o**2 + 2*o. Let r(p) = 4*j(p) + 11*x(p). Factor r(k).
-k*(k - 2)*(k - 1)*(k + 1)
Let x(z) be the third derivative of -z**8/1680 + z**7/420 - z**6/360 + z**3/2 - 2*z**2. Let p(m) be the first derivative of x(m). Factor p(c).
-c**2*(c - 1)**2
Suppose 0*o + 2*o + 2*r - 12 = 0, -5*o + 23 = -2*r. Let v = 11/21 - 1/42. Determine s so that -3/4*s**o + 0*s + 0 - v*s**4 + 3/4*s**3 + 1/2*s**2 = 0.
-1, -2/3, 0, 1
Let n = 178 + -4805/27. Let z(y) be the second derivative of 0*y**2 + 1/30*y**5 - 1/135*y**6 + y + 0 + 0*y**3 - n*y**4. Factor z(r).
-2*r**2*(r - 2)*(r - 1)/9
Let l(q) be the first derivative of -q**7/1260 - q**6/270 - q**3 - 4. Let u(f) be the third derivative of l(f). Find t such that u(t) = 0.
-2, 0
Let m(x) be the third derivative of x**6/420 - x**4/28 - 2*x**3/21 - 5*x**2. Determine w, given that m(w) = 0.
-1, 2
Suppose 0 = 5*b + 2*m + 19, 0 = -2*b - 4*m - 0 + 2. Let j(z) = -7*z**5 - z**3 + 3*z. Let s(q) = -8*q**5 - 2*q**3 + 4*q. Let f(x) = b*s(x) + 6*j(x). Factor f(a).
-2*a*(a - 1)**2*(a + 1)**2
Let m be (0*(-5)/20)/(-1 - -2). Solve m + 3/2*c**2 - c + 1/2*c**3 - 3/2*c**4 + 1/2*c**5 = 0.
-1, 0, 1, 2
Let z be 0 + (-72)/(-28) - 2. Let w = -488/7 - -70. Solve z*d**3 - 2/7*d**5 + w*d**4 - 4/7*d**2 + 2/7 - 2/7*d = 0 for d.
-1, 1
Solve 1/2*i**3 - 1/3 - 1/2*i + 1/6*i**2 + 1/6*i**4 = 0.
-2, -1, 1
Find o such that 2/7*o**3 - 2*o**2 + 16/7*o + 32/7 = 0.
-1, 4
Let b = 4162/11 - 378. Factor -2/11*s**2 + b*s - 2/11.
-2*(s - 1)**2/11
Suppose 9*o = -5*w + 4*o, 0 = 5*w - 3*o - 24. Let b = -10 + 14. Determine y, given that 2*y - 2*y**5 + y**5 - 2 + y + 3 - 2*y**w - 3*y**b + 2*y**2 = 0.
-1, 1
Let g(k) be the third derivative of -2*k**7/105 - k**6/10 + 2*k**4/3 - 5*k**2 + 2. Suppose g(b) = 0. Calculate b.
-2, 0, 1
Let h = 133 - 28. Find g such that -27*g**2 + 37*g**5 + 81*g**3 + 12*g**4 - h*g**4 + 3*g - g**5 = 0.
0, 1/4, 1/3, 1
Factor 8/3*m - 4*m**2 + 0 + 4/3*m**3.
4*m*(m - 2)*(m - 1)/3
Suppose 0 = 32*j - 24*j - 16. Factor 4/3*k**3 + 2*k**j + 2/3*k + 0.
2*k*(k + 1)*(2*k + 1)/3
Let z(o) be the second derivative of -3*o**6/80 + 11*o**5/120 - o**4/24 + o**2 