 Let w = 388/77 - m. Factor -w*s**3 + 2/11*s**4 - 2/11*s**2 + 0 + 2/11*s.
2*s*(s - 1)**2*(s + 1)/11
Let n(m) be the third derivative of 1/1344*m**8 + 0*m + 0 + 3*m**2 + 1/120*m**5 + 1/96*m**4 - 1/24*m**3 - 1/240*m**6 - 1/840*m**7. Solve n(u) = 0.
-1, 1
Let b(u) = 8 - 7*u**2 + 4*u**2 + 4*u + 0 + 0. Let t(g) = 4*g**2 - 4*g - 9. Let s(i) = 5*b(i) + 4*t(i). Find l, given that s(l) = 0.
-2
Let d(c) be the first derivative of -36*c**5/25 - 4*c**4 - 52*c**3/15 - 4*c**2/5 + 3. Suppose d(a) = 0. Calculate a.
-1, -2/9, 0
Factor -2*m - 6*m**2 - m + 0*m**2 - m + 4*m**3.
2*m*(m - 2)*(2*m + 1)
Let c = -25 + 51/2. Let a(p) be the second derivative of c*p**2 + 2*p + 0 + 1/6*p**3 - 1/12*p**4 - 1/20*p**5. Find k, given that a(k) = 0.
-1, 1
Let m(y) = y**2 + 2*y + 3*y**2 - 13 - 3. Let u(d) = 1 + d**2 + 2*d + 5 - d - 11. Let j(s) = -3*m(s) + 10*u(s). Solve j(g) = 0.
1
Let j(f) = -17*f**5 + 49*f**3 + 6*f**2 - 18*f + 1. Let o(g) = -6*g**5 + 16*g**3 + 2*g**2 - 6*g. Let p(w) = 2*j(w) - 7*o(w). Suppose p(i) = 0. Calculate i.
-1, -1/2, 1
Solve 2/19*c**5 + 0 - 6/19*c**3 - 2/19*c**4 + 2/19*c**2 + 4/19*c = 0 for c.
-1, 0, 1, 2
Let a be (-2)/6*(2 + -41). Suppose a*p - 9*p - 8 = 0. Suppose -1/2*f**4 + 0*f**p - 1/2*f**3 + 0 + 0*f = 0. Calculate f.
-1, 0
Let q = 16 - 46. Let p be 5/(-25) - 16/q. What is z in 1/3*z**2 + 0*z + p*z**3 + 0 = 0?
-1, 0
Let p(i) = -i**2 + 3*i + 3. Let h = 11 + -8. Let z be p(h). Factor 0*j - 2/3*j**5 + 2/3*j**4 + 0 + 4/3*j**z + 0*j**2.
-2*j**3*(j - 2)*(j + 1)/3
Let x(m) = 21*m**5 + 11*m**4 - 19*m**3 + 20*m**2. Let j(a) = -11*a**5 - 6*a**4 + 9*a**3 - 10*a**2. Let p(z) = -11*j(z) - 6*x(z). Factor p(k).
-5*k**2*(k - 1)**2*(k + 2)
Let h(n) be the second derivative of 4*n**2 + 4/3*n**3 + 1/6*n**4 + 0 - 7*n. Let h(d) = 0. What is d?
-2
Suppose 0 = -4*m + 20, -2*m + 26 - 72 = -4*c. What is w in -2*w - c*w**2 - 6 - 2 + 22*w + 3*w**3 = 0?
2/3, 2
Let i(n) be the third derivative of n**7/1680 + n**6/360 + n**5/240 + 2*n**3/3 + 3*n**2. Let r(t) be the first derivative of i(t). What is l in r(l) = 0?
-1, 0
Let l(i) be the second derivative of -5*i**4/12 + 5*i**3/2 - 5*i**2 - 12*i. Factor l(j).
-5*(j - 2)*(j - 1)
Let t(k) = k**3 - 7*k**2 + 6*k - 6. Let m be t(6). Let n = m - -8. Find j, given that n*j**2 + 1 + 2*j - 1 = 0.
-1, 0
Suppose 0*q + 24 = 4*q. Let u(b) be the third derivative of -1/96*b**4 + 0*b + 7/480*b**q + 0*b**3 - b**2 - 1/210*b**7 - 1/120*b**5 + 0. Factor u(s).
-s*(s - 1)**2*(4*s + 1)/4
Let w = -4 + 9. Suppose -3*d = 2*x - 7*x + 15, w*d = 0. Factor 1/3*g**2 - 1/3 + 1/3*g - 1/3*g**x.
-(g - 1)**2*(g + 1)/3
Let h(z) be the third derivative of -z**7/525 + z**6/100 - z**5/75 - 17*z**2. Factor h(r).
-2*r**2*(r - 2)*(r - 1)/5
Let a(v) = -4 - 2*v**2 + 9*v**2 + v**3 - 4*v**2. Let y be a(-2). What is u in 0*u - 1/4*u**3 - 1/4*u**4 + 0 + y*u**2 = 0?
-1, 0
Let s(b) be the third derivative of -b**8/2016 + b**6/180 - b**5/180 - b**4/48 + b**3/18 + 17*b**2. Factor s(y).
-(y - 1)**3*(y + 1)*(y + 2)/6
Let s(h) = -3*h**3 + 2*h**2 + 5*h. Let m(u) = -u**3 + u**2 + u. Let y(z) = 20*m(z) - 5*s(z). Suppose y(f) = 0. Calculate f.
0, 1
Let g(j) = -51*j**4 + 96*j**3 - 15*j**2 + 9*j + 9. Let q(p) = -25*p**4 + 48*p**3 - 8*p**2 + 4*p + 4. Let i(x) = 4*g(x) - 9*q(x). Solve i(b) = 0.
0, 2/7, 2
Let j = 13 - 10. Let -7*l + j*l - 10*l**2 - 4 - 2*l - 8*l = 0. Calculate l.
-1, -2/5
Let g(t) be the second derivative of t**4/4 + 4*t**3 + 24*t**2 + 2*t. Let g(l) = 0. Calculate l.
-4
Let p(k) be the first derivative of -5*k**3/3 + 5*k**2/2 + 10*k - 5. Let p(r) = 0. Calculate r.
-1, 2
Let o = 98 - 98. Let c(r) be the first derivative of 2*r**3 - 1/2*r**4 - 2 + o*r - 2*r**2. Find v such that c(v) = 0.
0, 1, 2
Let -3/2*r**4 + 0*r + 3/2*r**5 - 3/2*r**3 + 0 + 3/2*r**2 = 0. Calculate r.
-1, 0, 1
Let d(m) be the second derivative of 3*m**7/49 + m**6/15 - 11*m**5/70 - m**4/6 + 2*m**3/21 + 16*m. Let d(y) = 0. Calculate y.
-1, 0, 2/9, 1
Suppose -4*k + 10*k = 0. Find h such that 1 + 3*h**3 + k + 9*h - 11*h**2 + 2*h**2 - 4 = 0.
1
Let i(v) be the second derivative of v**4/12 + v**3 + 5*v**2/2 - 4*v. Factor i(h).
(h + 1)*(h + 5)
Solve 15/4*o**2 + 3*o + 3/4*o**5 - 3/4*o**4 - 15/4*o**3 - 3 = 0.
-2, -1, 1, 2
Suppose 0*z**2 - 4*z + 0*z + 14*z**2 = 0. What is z?
0, 2/7
Let x(f) = f + 1. Let b be x(8). Factor 0*y**2 + 2*y + 7*y - 3*y**2 - b + 3.
-3*(y - 2)*(y - 1)
Factor s**4 - 3*s**3 + 3*s**4 + 0*s**4 - 3*s**4 + 4*s.
s*(s - 2)**2*(s + 1)
Factor 128/5*o + 6/5*o**3 + 52/5*o**2 + 64/5.
2*(o + 4)**2*(3*o + 2)/5
Find q, given that 0*q**2 + 0 + 0*q - 4/11*q**3 + 10/11*q**4 = 0.
0, 2/5
Let s = -13 + 15. Let m(x) be the first derivative of 2/3*x**3 + 0*x - 2 + x**s. Factor m(f).
2*f*(f + 1)
Let f(u) = u**2 + u + 1. Let o(a) = 35*a**3 + 15*a**2 - 115*a + 65. Let b(n) = 25*f(n) - o(n). What is y in b(y) = 0?
-2, 2/7, 2
Let n(q) be the second derivative of -q**4/3 - 4*q**3/3 - 2*q - 22. Factor n(f).
-4*f*(f + 2)
Suppose 0 = y - 4 - 0. Factor -5*b**2 + y*b**2 + 2*b + 0*b**2.
-b*(b - 2)
Let -4*u**3 + 3*u + 5 + 1 + 3*u**3 - 4 = 0. What is u?
-1, 2
Suppose 0*w + 3*d - 17 = -4*w, 0 = 5*w + 2*d - 16. Factor -9*t + 4*t**2 - t**w + 0*t.
3*t*(t - 3)
Let l(c) be the first derivative of c**5/100 - c**3/30 - 5*c + 5. Let u(k) be the first derivative of l(k). Factor u(z).
z*(z - 1)*(z + 1)/5
Let h(w) = 3*w**2 + 3*w + 9. Let j(a) = 4*a**2 + 4*a + 13. Let y(i) = 7*h(i) - 5*j(i). Determine z, given that y(z) = 0.
-2, 1
Let i(a) be the first derivative of -a**7/4620 + a**5/220 + a**4/66 + 4*a**3/3 + 6. Let z(g) be the third derivative of i(g). Factor z(h).
-2*(h - 2)*(h + 1)**2/11
Let c = -94/7 - -14. Factor 2/7 + c*g + 2/7*g**2.
2*(g + 1)**2/7
Let z be (180/162)/(-2*1/(-12)). Suppose 38/3*s**2 - 8/3*s - 8/3 + z*s**3 = 0. What is s?
-2, -2/5, 1/2
Let u(q) be the second derivative of -q**4/6 - 2*q**3/3 - q**2 - 17*q. Determine c, given that u(c) = 0.
-1
Let s(f) be the third derivative of 8*f**2 + 0*f + 0*f**4 + 0 - 1/70*f**7 - 1/112*f**8 + 1/20*f**5 + 0*f**3 + 1/40*f**6. Factor s(x).
-3*x**2*(x - 1)*(x + 1)**2
Let u(t) be the third derivative of t**5/60 - t**4/24 - t**3/3 - 11*t**2. What is d in u(d) = 0?
-1, 2
Let p be 1 + -1 - 24/(-28). Let g be ((-16)/20)/((-28)/10). Solve -2/7 + g*y**3 + p*y - 6/7*y**2 = 0.
1
Let i(y) be the third derivative of -3*y**2 + 0*y**6 - 1/30*y**5 + 0 + 0*y**3 + 1/105*y**7 + 0*y**4 + 0*y. Factor i(p).
2*p**2*(p - 1)*(p + 1)
Let h(t) be the second derivative of -1/6*t**4 + 0 + 0*t**2 + 6*t + 0*t**3 - 1/10*t**5. Find d such that h(d) = 0.
-1, 0
Find y, given that 3/5*y + 3/5*y**4 + 9/5*y**3 + 0 + 9/5*y**2 = 0.
-1, 0
Suppose -3*l - 3*c = 9, 2*c + 1 = -4*l - 1. Suppose 0*d**4 - 1/4*d + 0*d**l - 1/4*d**5 + 1/2*d**3 + 0 = 0. What is d?
-1, 0, 1
Let b(g) be the first derivative of -g**5/5 - g**4/2 + 4*g**3/3 + g**2 - 3*g + 3. What is o in b(o) = 0?
-3, -1, 1
Let s(y) be the first derivative of 1/3*y**4 - 1/3*y**3 - 2 - 2*y + 0*y**2. Let o(v) be the first derivative of s(v). Factor o(g).
2*g*(2*g - 1)
Let w be (-4)/(-14) - (-12)/7. Factor -1 + 5 - 3*j**2 + 14*j - 5*j**w.
-2*(j - 2)*(4*j + 1)
Let x = 3 - 0. Suppose x*h - 4 = 2. Find j such that 14*j**5 + 2*j**2 + 3*j**2 - 18*j**4 - 5*j**h + 4*j**3 = 0.
0, 2/7, 1
Suppose -2*i - 1 = -7. Let 0 + 0*p**i + 0*p + 1/4*p**4 - 1/4*p**2 = 0. What is p?
-1, 0, 1
Suppose 5*j - 2*j - 2*c - 22 = 0, 15 = -3*c. Factor -3/2 + 3*o**2 - 3/2*o**j - 3/2*o - 3/2*o**5 + 3*o**3.
-3*(o - 1)**2*(o + 1)**3/2
Let w be 3 + (-2 - 0) + 1. Suppose -16 = -4*g, -4*g - 26 = -k - w*k. Factor -k*u**2 + 8*u - 8/7.
-2*(7*u - 2)**2/7
Factor 2/19*i**4 + 4/19*i**3 - 2/19*i**2 - 4/19*i + 0.
2*i*(i - 1)*(i + 1)*(i + 2)/19
Let m(o) be the first derivative of 2/9*o**3 + 2 + 2/3*o + 2/3*o**2. Find x such that m(x) = 0.
-1
Suppose s = -2*d + 10, 3*s + 0*s + 2*d - 14 = 0. Let c(b) = -s + b - 3 + 11*b**2 + 2*b**2. Let f(n) = -6*n**2 + 2. Let l(t) = -4*c(t) - 9*f(t). Factor l(o).
2*(o - 1)**2
Let t = -4 + 3. Let n be 2 - (t + (-3 - -3)). Let -2/3*z**n + 0 + 4/3*z**2 - 2/3*z = 0. Calculate z.
0, 1
Let o(h) be the third derivative of 2*h**7/105 + h**6/15 - h**5/15 - h**4/3 + 7*h**2. Factor o(z).
4*z*(z - 1)*(z + 1)*(z + 2)
Factor 0 + 4/5*h - 2/5*h**2.
-2*h*(h - 2)/5
Determine j so that -1 - 2 - j + 2*j**2 + 1 + j**3 = 0.
-2, -1, 1
Let o(m) = 30*m**4 + 90*m**3 + 69*m**2 + 9*m. Let u(y) = -3*y**4 - 9*y**3 - 7*y*