*p**2*(p - 2)
Factor -5*t**3 + 11*t**3 + 3*t**3 - 6*t**3.
3*t**3
Find c such that 24*c**2 - 12*c**2 - 8*c - 16*c**2 + 2*c**3 + 16 = 0.
-2, 2
Let d = 73/135 + -11/27. Let w(x) be the third derivative of 0*x - 1/75*x**5 - 2*x**2 + 1/12*x**4 - 1/60*x**6 + d*x**3 + 0. Factor w(p).
-2*(p - 1)*(p + 1)*(5*p + 2)/5
Let c(z) be the first derivative of -2*z**5/25 - 3*z**4/10 - 2*z**3/15 + 3*z**2/5 + 4*z/5 - 8. Find s, given that c(s) = 0.
-2, -1, 1
Let x(z) be the first derivative of 2*z + 0*z**2 + 2 - 1/20*z**5 - 1/6*z**4 - 1/6*z**3. Let o(h) be the first derivative of x(h). Factor o(c).
-c*(c + 1)**2
Let x(n) = 2*n**2 + 16*n + 4. Let h(r) = 3*r**2 + 33*r + 7. Let z(o) = -2*h(o) + 5*x(o). Suppose z(p) = 0. Calculate p.
-3, -1/2
Let r(s) be the third derivative of -s**8/1344 - s**7/105 - 11*s**6/240 - 7*s**5/60 - 17*s**4/96 - s**3/6 - 6*s**2. Solve r(h) = 0.
-4, -1
Let g = -3763/15 - -251. Let f(n) be the first derivative of 0*n + 4 + 0*n**2 + g*n**5 - 1/12*n**4 - 2/9*n**3 + 1/18*n**6. Solve f(z) = 0 for z.
-2, -1, 0, 1
Let x(a) = 2*a - 2*a + 5*a**2 - 1 + a**3 + 2*a. Let n be x(-4). Factor n*q**4 + 10*q**2 - q**4 - q - q - 14*q**3.
2*q*(q - 1)**2*(3*q - 1)
Let x(j) be the second derivative of -j**4/3 - 16*j**3/3 - 32*j**2 - 4*j. Suppose x(f) = 0. What is f?
-4
Let w = -1866/5 - -374. Solve -w*x + 4/5 + 1/5*x**2 = 0 for x.
2
Let t(b) be the second derivative of b**7/14 + 4*b**6/15 + b**5/5 - b**4/2 - 7*b**3/6 - b**2 - 10*b. Factor t(p).
(p - 1)*(p + 1)**3*(3*p + 2)
Solve 1/5*a**5 + 4/5*a**4 + 0*a + 2/5*a**2 + 0 + a**3 = 0.
-2, -1, 0
Let z(o) = 28*o**2 - 72*o - 8. Let y(u) = 3*u**2 - 8*u - 1. Let l(c) = 52*y(c) - 6*z(c). Factor l(f).
-4*(f - 1)*(3*f - 1)
Suppose -3*s - 3*k + 27 = 0, -4*k + 16 = s - 2*s. Suppose -3 + 2 + 2*z**3 + 5*z**s - 4*z**4 - 2*z = 0. Calculate z.
-1, 1
Factor -589 - m**3 + 589 - 4*m**2.
-m**2*(m + 4)
Factor 0*w - 2/3*w**2 + 8/3.
-2*(w - 2)*(w + 2)/3
Determine m so that -2/7*m**3 + 2/7*m**2 + 0*m + 0 = 0.
0, 1
Let z(f) be the second derivative of 1/6*f**4 - 1/3*f**3 + 0 + f + 1/10*f**5 - f**2. Factor z(b).
2*(b - 1)*(b + 1)**2
Let l(t) be the second derivative of 0*t**2 - 1/42*t**4 - t - 1/105*t**6 + 0 + 1/35*t**5 + 0*t**3. Determine w, given that l(w) = 0.
0, 1
Suppose -k + 4/3*k**3 - 2/3*k**2 - 1/3*k**5 + 2/3 + 0*k**4 = 0. What is k?
-2, -1, 1
Factor -450*c**3 + 91*c**4 - 180*c**2 + 0*c**4 - 466*c**4 - 24*c.
-3*c*(5*c + 2)**3
Factor -3/11*a**3 - 1/11*a**2 + 0 + 2/11*a.
-a*(a + 1)*(3*a - 2)/11
Solve -2/9*d**2 - 8/9*d - 8/9 = 0 for d.
-2
Let o = -1/6 - -1/2. Let s(b) be the first derivative of 0*b - 2 + b**2 + o*b**3. Determine k, given that s(k) = 0.
-2, 0
Let b(t) = 6*t**4 + 26*t**3 + 48*t**2 + 42*t + 10. Let x(y) = -7*y**4 - 27*y**3 - 48*y**2 - 43*y - 9. Let o(i) = -3*b(i) - 2*x(i). Factor o(p).
-4*(p + 1)**3*(p + 3)
Let r be (10/25)/(3/15). Let i(a) be the second derivative of 0 - 1/21*a**4 + 0*a**3 - 3/70*a**5 + 0*a**r - a. Determine v so that i(v) = 0.
-2/3, 0
Let z(v) = 0*v**3 + 2*v**3 - 13*v - 9 + 5*v**3 + 3*v**2 + 0*v**2. Let r(k) = -3*k**3 - k**2 + 6*k + 4. Let o(i) = -9*r(i) - 4*z(i). Factor o(x).
-x*(x + 1)*(x + 2)
Let f(y) = 5*y - 58. Let a be f(12). Let -1/2*l**3 + 0*l**4 + 1/4*l + 1/4*l**5 + 0 + 0*l**a = 0. What is l?
-1, 0, 1
Suppose g + 6 = 4. Let j be g/15*(0 - 3). Factor 2/5*i**2 + j - i.
(i - 2)*(2*i - 1)/5
Determine l so that 0 - 3/5*l - 6/5*l**2 - 3/5*l**3 = 0.
-1, 0
Let z = 46/7 + -44/7. Suppose z + 2/7*u**4 - 8/7*u - 8/7*u**3 + 12/7*u**2 = 0. What is u?
1
Let s(d) = -4*d**2 - 3*d + 4. Let l(t) = t**2. Let k(x) = 3*l(x) + s(x). Suppose k(z) = 0. Calculate z.
-4, 1
Factor -8/7 - 12/7*n - 1/7*n**3 - 6/7*n**2.
-(n + 2)**3/7
Let h be ((-5)/10)/((-2)/12). Suppose 0 = h*r - w + 3 + 1, -5*r = -4*w + 16. Factor r*j**2 + 2*j**2 - 4 + 2.
2*(j - 1)*(j + 1)
Let y(n) be the first derivative of -2*n**5/25 + 3*n**4/5 - 16*n**3/15 - 6*n**2/5 + 18*n/5 - 22. Determine b, given that y(b) = 0.
-1, 1, 3
Let i = -5 + 10. Suppose -c = i*w - 3*w - 2, 4*w - 2*c - 20 = 0. Factor 0*n**w + 0 - 2/3*n**4 + 2/3*n**2 + 0*n.
-2*n**2*(n - 1)*(n + 1)/3
Let x be 48/(-220) - (-20)/50. Let x + 32/11*u**2 - 16/11*u = 0. What is u?
1/4
Let z(l) = -6*l**2 - 5*l + 18. Let a be (8/6)/(2/51). Let k(c) = c**2 + c - 3. Let h(t) = a*k(t) + 6*z(t). Suppose h(x) = 0. What is x?
-1, 3
Suppose 0 = -3*b + 6*b + 3. Let j = 4 + b. Factor 3*w**j - w**5 - w**3 - w**3.
-w**3*(w - 1)*(w + 1)
Let m(p) = 6*p**3 - 4*p**2 - 7*p - 5. Let j(o) = -5*o**3 + 3*o**2 + 6*o + 4. Let k(r) = -5*j(r) - 4*m(r). Factor k(g).
g*(g - 1)*(g + 2)
Suppose -2*g + 6*g - 12 = 0. Suppose 5*q + 11 = g*p, 2*p - 4*q - 6 = p. Determine d, given that 0*d**3 + 4 - 5*d**3 - p*d**2 - d**4 + 3*d**2 + 8*d + d**5 = 0.
-1, 2
Let z(d) = 7*d + 0*d - 8*d + 8. Let h be z(5). Factor 0*n + 0 + 2/7*n**h + 2/7*n**2.
2*n**2*(n + 1)/7
Let m(g) be the first derivative of 0*g - 2/3*g**3 - g**2 - 1. What is z in m(z) = 0?
-1, 0
Let r(q) be the second derivative of -1/6*q**3 + 2*q + 1/36*q**4 + 1/3*q**2 + 0. Factor r(b).
(b - 2)*(b - 1)/3
Let v(y) be the first derivative of y**4/9 - 16*y**3/27 + 10*y**2/9 - 8*y/9 + 19. Solve v(m) = 0 for m.
1, 2
Factor -6*b**4 - 424*b**3 - 3*b**5 + 424*b**3.
-3*b**4*(b + 2)
Let z(a) = -5*a**4 + 26*a**3 - 14*a**2 - 6*a. Let g(h) = -45*h**4 + 235*h**3 - 125*h**2 - 55*h. Let f(r) = -6*g(r) + 55*z(r). Factor f(o).
-5*o**2*(o - 2)**2
Factor -3 - 43*c + 24*c + c**2 + 21*c.
(c - 1)*(c + 3)
Let h(k) be the first derivative of 4*k**5/15 + k**4/6 - 4*k**3/9 - k**2/3 + 15. Solve h(w) = 0 for w.
-1, -1/2, 0, 1
Solve -4*j**3 + 17*j + 0*j**3 + 7*j**3 - 20*j = 0.
-1, 0, 1
Let f(n) = -n. Let r(g) = -2*g. Let s(j) = 4*f(j) - 3*r(j). Let o be s(1). Determine w so that 2*w**4 - o*w**3 + 2/3*w**2 + 0 - 2/3*w**5 + 0*w = 0.
0, 1
Let l = -24 - -24. Let q be (4/(-10))/(8/(-5)). Solve l + 1/4*p**4 - 1/4*p**2 - 1/4*p + q*p**3 = 0 for p.
-1, 0, 1
Let s be 1 - 3/6*-2. Suppose -3*i - s = -11. Find t, given that -4/3*t**2 - 2/3*t + 0 - 2/3*t**i = 0.
-1, 0
Let w(h) be the first derivative of -h**4 + 4*h**3 - 4*h**2 + 11. Factor w(r).
-4*r*(r - 2)*(r - 1)
Determine h, given that 3*h + 85*h**2 + 9*h**3 + 5*h**4 - 2*h**4 - 76*h**2 = 0.
-1, 0
Let r = -19 + 31. Let r + 45*l**2 - 68*l - 14*l**4 + 4*l**3 - 4 - 3*l**2 + 28*l = 0. What is l?
-2, 2/7, 1
Let p(y) be the first derivative of y**4/24 - y**2/12 - 23. Find c such that p(c) = 0.
-1, 0, 1
Let b(n) be the second derivative of -1/36*n**4 + 4*n - 1/9*n**3 + 0*n**2 + 0. Find w such that b(w) = 0.
-2, 0
Let l(y) be the first derivative of y**4/3 + 4*y**3/9 - 4*y**2/3 - 9. Factor l(k).
4*k*(k - 1)*(k + 2)/3
Let v(u) = -u**3 + u**2 + 2*u - 1. Let d be v(2). Let x = d + 3. Solve 0 + 4/3*y**x - 2/3*y**3 - 2/3*y = 0.
0, 1
Let n(h) be the first derivative of -10 - 10*h**3 - 9*h**2 + 25/2*h**4 - 2*h. Factor n(c).
2*(c - 1)*(5*c + 1)**2
Let x(o) be the first derivative of o**3/3 + o**2 - 5. Solve x(k) = 0 for k.
-2, 0
Solve 0*r + 2/3*r**4 + 0 - 2/3*r**2 + 1/6*r**5 - 1/6*r**3 = 0.
-4, -1, 0, 1
Let j = -10796 + 615352/57. Let t = 6/19 - j. Factor -t*k + 0 - 2/3*k**2.
-2*k*(k + 1)/3
Find l such that -36*l**3 - 48*l**2 + 0 + 0 + 28*l + 28*l**4 - 12*l = 0.
-1, 0, 2/7, 2
Let j(f) be the second derivative of 3/8*f**2 + 1/8*f**4 + f - 3/40*f**6 + 3/8*f**3 - 3/40*f**5 + 0 - 1/56*f**7. Find h such that j(h) = 0.
-1, 1
Suppose h + 3*o = -0*o - 8, 17 = 2*h - 5*o. Let a(g) = 5*g + 3 + 4*g**2 + 3 + 4 - 5. Let k(l) = -l**2 - l - 1. Let b(v) = h*a(v) + 5*k(v). Solve b(d) = 0 for d.
0
Let x = 1 - -5. Solve 7*b**5 - x*b**4 + 2*b**2 - 6*b**3 - 4*b**2 - 14*b**5 + 5*b**5 = 0.
-1, 0
Let v(l) be the second derivative of l**6/135 - 7*l**5/90 + 5*l**4/54 + 7*l**3/27 - 2*l**2/3 - 47*l. Suppose v(d) = 0. Calculate d.
-1, 1, 6
Let g(f) be the second derivative of f**6/40 + 3*f**5/40 - f**4/4 - f**3/4 + 9*f**2/8 + 17*f. Let g(b) = 0. What is b?
-3, -1, 1
Let p(n) be the second derivative of 1/2*n**3 + 5*n + 0*n**2 - 3/20*n**5 + 3/4*n**4 + 0 - 3/10*n**6. Factor p(g).
-3*g*(g - 1)*(g + 1)*(3*g + 1)
Let s = 32/105 - -1/35. Factor -s - i**2 - 1/3*i**3 - i.
-(i + 1)**3/3
Let p = -8 - -11. Suppose -2*i = -i - p. Factor 10/7*z + 4/7 - 10/7*z**i - 4/7*z**2.
-2*(z - 1)*(z + 1)*(5*z + 2)/7
Let a(x) be the first derivative of x**6/27 - 2*x**5/45 - x**4/6 + 10*x**3/27 - 2*x**2/9 + 12. Find n such that a(n) = 0.
-2, 