Let f(l) = m*z(l) + 2*g(l). Let f(c) = 0. Calculate c.
0
Let q(t) be the first derivative of t**8/4200 - t**7/525 + t**6/150 - t**5/75 + t**4/60 - 2*t**3/3 + 2. Let g(u) be the third derivative of q(u). Factor g(m).
2*(m - 1)**4/5
Let l(o) = -47*o**3 + 12*o - 37*o**3 - 21*o**2 - 5*o**2 + o**2. Let r(n) = -56*n**3 - 17*n**2 + 8*n. Let y(m) = -5*l(m) + 7*r(m). Suppose y(p) = 0. Calculate p.
-1/2, 0, 2/7
Suppose 19 = 3*r - 4*m, 0 = 4*r + m + m + 4. Let b be (1 - r/(-3))*3. Factor -2*n**3 - 6*n + 3 + 2*n**2 - 1 + 0*n**2 + b*n**2.
-2*(n - 1)**3
Let n(i) = -i**3 + 2*i + 1. Let a(u) = 12*u**3 - 36*u**2 + 117*u - 159. Let h(c) = -a(c) - 9*n(c). Determine k, given that h(k) = 0.
2, 5
Let m be 1 - (2 - 4/12). Let d = m + 1. Suppose -d*z + 0 + 1/3*z**2 = 0. What is z?
0, 1
Let m = -123/176 - -17/16. Factor m + 4/11*b**2 - 10/11*b.
2*(b - 2)*(2*b - 1)/11
Let b = -57 - -343/6. Let x(p) be the first derivative of 0*p + 4/9*p**3 - 2 + 1/3*p**2 + b*p**4. Factor x(a).
2*a*(a + 1)**2/3
Let j(h) be the first derivative of 1 - 1/4*h**2 + 1/4*h**4 - 1/12*h**6 - 1/10*h**5 - 1/2*h + 1/3*h**3. What is t in j(t) = 0?
-1, 1
Let y(u) be the third derivative of -u**5/270 - u**4/36 + 3*u**2. Factor y(n).
-2*n*(n + 3)/9
Determine y so that -18/17*y**4 - 32/17 + 64/17*y**3 + 96/17*y - 112/17*y**2 + 2/17*y**5 = 0.
1, 2
Let j(p) be the first derivative of 8*p**5/15 + p**4 - 8*p**3/9 - 15. Factor j(b).
4*b**2*(b + 2)*(2*b - 1)/3
Suppose 4*x - 3*m + 11 = 0, 9 = 2*m - 1. Suppose 8 + x = 3*n. Factor -4*i**3 + 2*i**5 - 2*i**4 + n*i**2 - i**2 + 2*i**3.
2*i**2*(i - 1)**2*(i + 1)
Let d(s) be the second derivative of s**5/10 + s**4/3 - s**3/3 - 2*s**2 + 10*s. Factor d(t).
2*(t - 1)*(t + 1)*(t + 2)
Suppose 20 = -7*s + 20. Let 2/13*x**4 - 2/13*x**2 + 4/13*x + s - 4/13*x**3 = 0. What is x?
-1, 0, 1, 2
Suppose 2*r = 3*c - 28, 5*c - r = -3*r + 20. Let n(l) = 3*l**3 - l**2 + 3*l + 1. Let j(u) = u**3 + u**2 + 1. Let p(m) = c*j(m) - 3*n(m). Factor p(x).
-3*(x - 1)**3
Let k = -148/5 - -301/10. Factor 1/2*d**4 + 7/4*d - 2*d**2 - k + 1/2*d**3 - 1/4*d**5.
-(d - 1)**4*(d + 2)/4
Let c(h) be the third derivative of -1/180*h**5 + 1/72*h**4 + 0*h + 0*h**3 + 0 - 4*h**2. Find j such that c(j) = 0.
0, 1
Let s = -203 - -207. Find y, given that -18/11*y**s + 14/11*y**5 - 10/11*y**3 - 4/11*y + 0 + 18/11*y**2 = 0.
-1, 0, 2/7, 1
Factor -p**2 + 3 - p**2 + 5 + 0.
-2*(p - 2)*(p + 2)
Let s = -4 + 9. Suppose 0 = 3*u - 4*q + 14, 0*u + s*u = 5*q - 15. Determine k so that 0*k + 0*k**3 + 0 - 2/5*k**4 + 2/5*k**5 + 0*k**u = 0.
0, 1
Factor 2/7*v**5 + 0 + 16/7*v**2 + 0*v + 12/7*v**4 + 24/7*v**3.
2*v**2*(v + 2)**3/7
Suppose -4*a + 1 = -3. Let b(f) = -1 + 0*f**2 + 2*f**3 - f**2 - 3*f**3. Let z(p) = 12*p**3 - 12*p**2 + 6*p + 3. Let g(v) = a*z(v) + 3*b(v). Factor g(k).
3*k*(k - 1)*(3*k - 2)
Let k(o) = 7*o**3 - 2*o**2 + o - 5. Suppose -3 - 2 = -u. Let h(q) = 6*q**3 - 2*q**2 - 4. Let c(d) = u*h(d) - 4*k(d). Suppose c(y) = 0. Calculate y.
-1, 0, 2
Let o(i) be the second derivative of 0*i**2 - 5*i - 1/36*i**4 + 0*i**5 + 1/90*i**6 + 0*i**3 + 0. Factor o(u).
u**2*(u - 1)*(u + 1)/3
Factor x**5 - 735*x**4 + 0*x + 737*x**4 - 2*x**2 - x.
x*(x - 1)*(x + 1)**3
Let z(p) be the third derivative of 1/20*p**5 + 0*p + 2*p**3 + 3*p**2 + 0 + 1/2*p**4. Let z(n) = 0. Calculate n.
-2
Let r(g) be the first derivative of -g**6/15 - 22*g**5/25 - 23*g**4/5 - 12*g**3 - 81*g**2/5 - 54*g/5 - 8. Factor r(c).
-2*(c + 1)**2*(c + 3)**3/5
Factor -3/4*j**3 + 0 + 0*j - 3/4*j**2 + 3/4*j**5 + 3/4*j**4.
3*j**2*(j - 1)*(j + 1)**2/4
Suppose 0*u = 3*u - 6. Solve 0*b**2 - 4*b**3 + 5*b**2 + b**2 - u*b**2 + b**4 = 0.
0, 2
Let v(p) be the second derivative of 0*p**2 + 0 + 1/12*p**4 + 0*p**3 - p. Determine t so that v(t) = 0.
0
Let w(z) = -z**2 + z + 1. Let y(l) = -4*l**2 + 9*l + 8. Let u(v) = -5*w(v) + y(v). Let x(h) = h + 1. Let j(k) = -3*u(k) + 6*x(k). Factor j(q).
-3*(q + 1)**2
Suppose 0*d = -5*o + 2*d + 4, o + 5*d = -10. Factor -4*s**2 + 6*s**5 + s + o*s**4 - 4*s**4 - 5*s**5 + 6*s**3.
s*(s - 1)**4
Let l(s) = 10*s**2 + 70*s + 65. Let k(g) = 5*g**2 + 35*g + 33. Let x(h) = -5*k(h) + 3*l(h). Solve x(a) = 0 for a.
-6, -1
Let q(i) be the first derivative of 2/5*i**5 + 1 - 2*i**2 + i**4 + 0*i**3 - 2*i. Factor q(s).
2*(s - 1)*(s + 1)**3
Factor -2*z**2 + 1/2*z**3 - 1 + 5/2*z.
(z - 2)*(z - 1)**2/2
Let -1484*l**4 + 145*l + 680*l**2 - 1283*l**5 - 80 + 95*l - 1081*l**4 + 338*l**5 - 1080*l**3 = 0. What is l?
-2, -2/3, 2/7, 1/3
Let -1/2*a**3 - 1 - 1/2*a**4 + 3/2*a**2 + 1/2*a = 0. Calculate a.
-2, -1, 1
Factor -2/9*f**3 - 4/9 + 4/9*f**2 + 2/9*f.
-2*(f - 2)*(f - 1)*(f + 1)/9
Let q(w) be the third derivative of 3*w**8/56 - w**7/7 - w**6/12 + w**5/2 - 4*w**3/3 - 18*w**2. What is x in q(x) = 0?
-2/3, 1
Suppose -20 - 10 = -15*w. Factor 0 + 4/7*t**3 + 2/7*t**4 + 2/7*t**w + 0*t.
2*t**2*(t + 1)**2/7
Let j = 251 - 2999/12. Let c(r) be the third derivative of 0*r + 11/30*r**5 + 0 + 2/3*r**3 - j*r**4 + 3*r**2. What is i in c(i) = 0?
2/11, 1
Let v(h) be the second derivative of h**6/30 - 3*h**5/20 + h**4/4 - h**3/6 - 5*h. Factor v(o).
o*(o - 1)**3
Let i(x) be the third derivative of 1/6*x**3 - 7/48*x**4 + 0 + 0*x - 1/60*x**5 - x**2 + 7/240*x**6. Factor i(g).
(g - 1)*(g + 1)*(7*g - 2)/2
Suppose -z + 3*m = -3, 3*m + 12 = -4*z + 7*m. Let n be 28/(-16)*z/21. Solve n - u**2 + 1/2*u = 0 for u.
-1/2, 1
Let f(g) = -3*g**2 - 3*g. Let m(d) = -4*d**2 - 3*d + 1. Let j(i) = -3*f(i) + 2*m(i). Suppose j(s) = 0. What is s?
-2, -1
Find k, given that -3/7*k**4 + 0*k - 12/7*k**3 + 5/7*k**5 + 0 - 4/7*k**2 = 0.
-1, -2/5, 0, 2
Let o(b) = 3*b**3 + b. Suppose 0*y + 1 = y. Let q be o(y). Factor 5*u**5 + 0*u**4 + 4*u**q - 2*u**4.
u**4*(5*u + 2)
Let t(u) = -4*u**3 - 7*u**2 - 4*u - 1. Let r(g) = -g**3 - g**2. Let h(b) = 6*r(b) - 3*t(b). Let h(m) = 0. Calculate m.
-1, -1/2
Let t be (56/1358)/((-4)/(-2)). Let q = 91/291 + t. Factor -1/3*g + 0 + 0*g**2 + q*g**3.
g*(g - 1)*(g + 1)/3
Let z(k) be the third derivative of -k**6/12 + k**5/12 - 48*k**2. Solve z(s) = 0.
0, 1/2
Let o be (1/3)/((-3)/(-27)). Let h(a) be the third derivative of -a**2 + 1/48*a**5 + 1/12*a**4 + 1/480*a**6 + 0*a + 1/6*a**o + 0. Find f such that h(f) = 0.
-2, -1
Let t(l) be the second derivative of -l**10/75600 + l**9/7560 - l**8/5600 - l**7/700 + 3*l**4/4 + 10*l. Let x(z) be the third derivative of t(z). Factor x(o).
-2*o**2*(o - 3)**2*(o + 1)/5
Let t(g) = -g - 1. Let v be t(0). Let r = 1 + v. Let r*j**3 - j**2 + 3*j**2 - 2*j**3 = 0. What is j?
0, 1
Let q be 4/22 - (15 - 17) - 2. Factor 18/11*i + q*i**3 + 12/11*i**2 + 0.
2*i*(i + 3)**2/11
Let g(i) be the third derivative of -1/6*i**3 + 1/24*i**4 + 0*i + 1/360*i**6 + 0 - 1/60*i**5 - 2*i**2. Let z(k) be the first derivative of g(k). Factor z(s).
(s - 1)**2
Let h(b) be the first derivative of 2/7*b + 1 + 4/7*b**3 - 2/7*b**4 + 2/35*b**5 - 4/7*b**2. Factor h(a).
2*(a - 1)**4/7
Let f(o) be the first derivative of 98*o**5/5 - 119*o**4/2 + 12*o**3 + 44*o**2 + 16*o - 2. Suppose f(z) = 0. What is z?
-2/7, 1, 2
Let f(z) be the third derivative of -z**9/272160 + z**7/7560 + z**6/1620 + z**5/20 - 5*z**2. Let r(g) be the third derivative of f(g). Factor r(j).
-2*(j - 2)*(j + 1)**2/9
Let u be 12/(-9)*(-12)/8. Let t(a) be the first derivative of -44*a**2 - 45/2*a**4 + 52*a**3 - u + 16*a. Solve t(w) = 0 for w.
2/5, 2/3
Factor -2/13*t**2 - 2/13*t**3 + 2/13 + 2/13*t.
-2*(t - 1)*(t + 1)**2/13
Let l(x) be the second derivative of 2*x - 1/30*x**6 + 1/2*x**2 + 0 - 1/10*x**5 + 1/3*x**3 + 0*x**4. Factor l(w).
-(w - 1)*(w + 1)**3
Let k(t) be the first derivative of t**7/840 + t**6/480 - t**5/240 - t**4/96 - 3*t**2/2 - 5. Let q(m) be the second derivative of k(m). Factor q(y).
y*(y - 1)*(y + 1)**2/4
Let o(u) be the first derivative of 0*u - 1 - 49/2*u**4 - 4/3*u**2 + 343/15*u**5 + 28/3*u**3. Factor o(d).
d*(7*d - 2)**3/3
Let l = 27/170 - 1/17. Let k(s) be the second derivative of -s**2 + 1/3*s**4 + 1/42*s**7 + s - 1/15*s**6 - l*s**5 + 1/6*s**3 + 0. What is y in k(y) = 0?
-1, 1, 2
Let o = -1/1579 + 50537/14211. Factor -o*i + 10/3*i**2 + 8/9.
2*(3*i - 2)*(5*i - 2)/9
Let u = -1406 + 1406. Factor u - 4/5*m**2 - 4/5*m.
-4*m*(m + 1)/5
Let g(a) be the third derivative of a**8/112 - 4*a**7/7 + 16*a**6 - 256*a**5 + 2560*a**4 - 16384*a**3 + 36*a**2. Determine p, given that g(p) = 0.
8
Let o(x) be the first derivative of -1/3*x**3 - 1/4*x