l**6 + 0*l**3 + 0 + 1/252*l**7 + 1/72*l**4 + 32*l - 1/120*l**5. What is c in u(c) = 0?
-1, 0, 1
Suppose 2*z + 3*r - 18 - 5 = 0, 0 = 3*z + 3*r - 33. Suppose -42 + z = -8*m. Suppose 11/4*w**2 + 1/2*w + 21/4*w**3 + 0 + 5/4*w**5 + 17/4*w**m = 0. Calculate w.
-1, -2/5, 0
Let a(q) = -191*q + 2676. Let c be a(14). Determine z so that 2/7*z**3 - 4/7*z**c + 0*z + 2/7*z**4 + 0 = 0.
-2, 0, 1
Let m = 754 - 752. Let q(f) be the first derivative of 1/2*f**3 - 7 + 1/10*f**5 + 0*f - 3/8*f**4 - 1/4*f**m. Factor q(h).
h*(h - 1)**3/2
Factor 768 + 3*o**4 + 2240*o + 4612/3*o**2 - 140*o**3.
(o - 24)**2*(3*o + 2)**2/3
Let v be 94/141 + 14/(-30). Suppose 2/5 - 1/5*g**2 - v*g = 0. Calculate g.
-2, 1
Suppose 18*k - 6*k = 10*k. Let s(j) be the third derivative of 0*j + 2*j**2 + 0 + k*j**3 - 1/30*j**5 + 1/12*j**4. Determine v so that s(v) = 0.
0, 1
Let b(v) be the second derivative of -v**4/8 - 7*v**3 - 147*v**2 - 2*v + 32. Let b(i) = 0. Calculate i.
-14
Suppose 6 = 5*a - 4. Let u(y) be the first derivative of 4 - 2*y**3 + 12*y + y**a - 12*y. Solve u(w) = 0 for w.
0, 1/3
Let d be (-3 + (-39)/(-12)*542)/3. Let v = d + -584. Factor -1/3 - 10/3*p**2 - v*p - 3/2*p**3.
-(p + 1)**2*(9*p + 2)/6
Let k be (-9)/6*(-4)/1. Suppose -4*q + 30 + k = 0. Factor -3*g**5 + g - 6*g**2 + 6*g**3 + 5*g - q*g + 3 + 3*g**4.
-3*(g - 1)**3*(g + 1)**2
Let f(j) = -2*j**3 + 18*j**2 + 19*j + 12. Let s be f(10). Determine p, given that 4/7*p - 6/7 + 2/7*p**s = 0.
-3, 1
Let i = -12 + 17. Suppose 0 = -i*d + 5. Find u such that 4*u**3 + u**4 + 2*u - 2*u**3 - 4*u**3 + d - 2*u**4 = 0.
-1, 1
Let -39*o - 38*o**2 + 10*o**2 - 68*o**3 - 14*o**4 - 34*o**2 - 42*o**2 - 9*o = 0. Calculate o.
-2, -6/7, 0
Let a(q) be the third derivative of 0*q - 1/84*q**8 - 2/3*q**3 + 4*q**2 + 1/15*q**6 + 2/15*q**5 - 1/6*q**4 - 2/105*q**7 + 0. Suppose a(y) = 0. Calculate y.
-1, 1
Let s(r) be the first derivative of 0*r**3 + 0*r**2 - 4 - 1/6*r**4 - 2*r. Let w(a) be the first derivative of s(a). Factor w(g).
-2*g**2
Let i(k) = 0*k**2 - k**3 - 2*k**2 + 4 + k - 5*k**2 + 8*k**2. Let o be i(0). Factor 2*v**5 - v**3 + 0*v**3 + 4*v - 4*v**2 + 2*v**o + 2 - 2*v - 3*v**3.
2*(v - 1)**2*(v + 1)**3
Suppose -26*b - 35 + 77 = -12*b. Determine f, given that 2*f**b + 2/3*f**4 - 2*f + 2/3*f**2 - 4/3 = 0.
-2, -1, 1
Let j(z) be the second derivative of -z**5/20 - 3*z**4/4 - 5*z**3/2 + 25*z**2/2 + 18*z. Factor j(i).
-(i - 1)*(i + 5)**2
Suppose 32*r + 6 = 30*r. Let w(n) = 2*n**2 - n. Let s(h) = h**2. Let m(j) = r*w(j) + 24*s(j). Factor m(l).
3*l*(6*l + 1)
Let c(l) be the third derivative of -l**9/60480 + 17*l**8/100800 - l**7/4200 - 13*l**5/60 + 2*l**2. Let u(z) be the third derivative of c(z). Factor u(m).
-m*(m - 3)*(5*m - 2)/5
Let v = 16621/30 - 554. Let s(b) be the third derivative of 0 + 0*b**3 - v*b**6 + 4*b**2 - 2/15*b**5 + 0*b - 1/6*b**4. What is g in s(g) = 0?
-1, 0
Let c be ((-1175)/(-75) - 15)*(1 - (-3)/15). Factor -16/5*r + c*r**2 + 16/5.
4*(r - 2)**2/5
Factor -3*a**2 - 34 + 6*a**3 + 34 + 10*a**3 - 10*a - 3*a**4.
-a*(a - 5)*(a - 1)*(3*a + 2)
Suppose 16/17 + 130/17*u + 32/17*u**3 + 16*u**2 = 0. What is u?
-8, -1/4
Let l(r) be the third derivative of r**5/180 + 11*r**4/36 + 7*r**3/6 - 2*r**2 + 17. Factor l(o).
(o + 1)*(o + 21)/3
Let k = 11 + -3. Suppose 20 + 6*p**3 - 11*p**3 - k*p - 33*p + p + 25*p**2 = 0. Calculate p.
1, 2
Let x(t) = -t**3 + 15*t**2 + 17*t - 18. Let z be x(16). Let j be 12*(-5)/(-225) - z/5. Find v such that -8*v - 4*v**2 - 16/3 - j*v**3 = 0.
-2
Factor 62*u**2 - 13*u**3 + 26*u**3 - 36*u - 7*u**3 - 4*u**3 + 152*u.
2*u*(u + 2)*(u + 29)
Let n(f) be the first derivative of f**5/5 - 8*f**3/3 + 16*f - 354. Factor n(r).
(r - 2)**2*(r + 2)**2
Let w be 2574/891 + 2/18. Let l(h) be the third derivative of 5/3*h**w - 5/8*h**4 + 0*h + 1/8*h**6 - 1/42*h**7 - 1/12*h**5 + 8*h**2 + 0. Factor l(d).
-5*(d - 2)*(d - 1)**2*(d + 1)
Let k = 1517 + -717. Factor 260*i**2 - 4*i**5 + 4*i**5 - 4*i**5 + k*i + 200*i**2 - 76*i**3 - 44*i**4 - 2000.
-4*(i - 2)**2*(i + 5)**3
Let y(q) be the first derivative of -q**6/40 - 9*q**5/80 - 3*q**4/16 - q**3/8 + 9*q - 8. Let z(r) be the first derivative of y(r). Factor z(a).
-3*a*(a + 1)**3/4
Suppose 3*x - 2*c = 2*c, 5*x = -2*c. Let q be 3/(x + 1) + (-6 - -3). Factor -3*z**2 + 3/2*z**4 + q + 0*z + 3/2*z**3.
3*z**2*(z - 1)*(z + 2)/2
Let m be (-9 + 244/36)*1*(-6)/5. Let -8/3 + 2/3*r**4 + 8/3*r - m*r**3 + 2*r**2 = 0. Calculate r.
-1, 1, 2
Suppose 0*l = 4*l - 16. Let v = l - 0. Determine d, given that 3*d**4 + 3*d**2 + 3*d**5 + 7*d**2 - 12*d**v + 2*d**2 = 0.
-1, 0, 2
Factor 0 - 32/5*y - 2/5*y**5 - 48/5*y**3 - 64/5*y**2 - 16/5*y**4.
-2*y*(y + 2)**4/5
Let s be 1 - 25*(-1)/(-45). Let o(b) be the first derivative of 0*b + 1/6*b**4 + 5 + s*b**3 + 1/3*b**2. Determine k, given that o(k) = 0.
-1, 0
Let s(q) be the first derivative of q**4/5 + 16*q**3/15 + 2*q**2/5 - 24*q/5 - 17. Determine d so that s(d) = 0.
-3, -2, 1
Let g(p) be the second derivative of -3*p**5/80 + 3*p**4/8 + 9*p**3/2 + 15*p**2 - 20*p + 3. What is q in g(q) = 0?
-2, 10
Let x(n) = n**2 - 9*n - 1. Let f be x(11). Suppose 5*k - 3 = -3*v, 0*v + k + f = 3*v. Factor 5 + 9*j**3 + 0*j**3 - j**3 - v*j**2 - 4 - 3*j**4.
-(j - 1)**3*(3*j + 1)
Suppose -3 = 2*q - 7. Factor -q*c**2 + 2*c**2 - 3 - 13*c - 4*c**2.
-(c + 3)*(4*c + 1)
Let j(d) = -20*d - 778. Let r be j(-39). Let i(h) be the first derivative of 5*h**4 + 0*h - 20/3*h**3 - 1 - h**5 + 0*h**r. Solve i(f) = 0 for f.
0, 2
Let x(g) = -g**3 - 3*g**2 - 5*g - 2. Let r be x(-2). Let z(m) be the second derivative of -5*m - 1/6*m**r + 1/10*m**5 - 2/3*m**3 + 0 + 0*m**2. Factor z(o).
2*o*(o - 2)*(o + 1)
What is u in -81/2 - 1/2*u**2 + 9*u = 0?
9
Let q(d) be the second derivative of -d**6/240 - 3*d**5/20 - 9*d**4/4 + 29*d**3/6 - 8*d. Let t(l) be the second derivative of q(l). Find z, given that t(z) = 0.
-6
Let g be 6/8 + 7 + (-57)/12. Let n(i) be the second derivative of 0*i**g - 3*i + 0 + 0*i**2 + 1/4*i**4 - 3/5*i**5. Suppose n(b) = 0. What is b?
0, 1/4
Let j(d) be the third derivative of 0*d**3 + 0*d**5 + 0 - 13*d**2 + 0*d - 1/540*d**6 + 0*d**4. Factor j(h).
-2*h**3/9
Let z be ((-398)/22)/(-98 - 15/(-5)). Let y = z - -2/209. Determine l so that -y*l**2 + 0 + 3/5*l = 0.
0, 3
Suppose 44 - 134 = -z. Let k(v) = z*v - 18 + 116 + 120 - 59 + 15*v**2. Let u(j) = -3*j**2 - 18*j - 32. Let c(a) = -5*k(a) - 24*u(a). Factor c(o).
-3*(o + 3)**2
Let x be 27/1512*-8 + (-2)/(-14). Factor 1/7*o**4 + 0 + 0*o**2 + 2/7*o**3 + x*o.
o**3*(o + 2)/7
Suppose 0 = -2*m + 16 + 8. Find k, given that 16*k**2 + 10*k - 22*k**4 - 14*k**3 - 6*k**5 + 10*k**3 - 6 + m*k**2 = 0.
-3, -1, 1/3, 1
Let f(u) be the second derivative of u**6/3 - 94*u**5/5 + 1441*u**4/5 + 3572*u**3/15 + 361*u**2/5 - 9*u + 1. Determine a so that f(a) = 0.
-1/5, 19
Let k(z) = 6*z**2 + 56*z + 330. Let g(q) = -q**2 - q + 2. Let a be 2/8 + (-255)/(-68). Let h(b) = a*g(b) + k(b). Let h(t) = 0. What is t?
-13
Let h = -174/7 + 176/7. Factor -2/7*a**2 + 0 + 2/7*a**3 - h*a + 2/7*a**4.
2*a*(a - 1)*(a + 1)**2/7
Let f(y) be the first derivative of -y**4/40 - 3*y**3/2 - 483*y**2/20 + 529*y/10 - 15. Determine g so that f(g) = 0.
-23, 1
Let p be 8992/84 + 48/21 + -2. Let w = p - 107. Determine z so that 0 - w*z**2 - 1/3*z = 0.
-1, 0
Suppose -v + 3*n = -6*v - 25, -2*v - 41 = -5*n. Let p be (v/10)/((-7)/(-140)*-4). Factor 2*l**2 - 4/3*l + 1/3 + 1/3*l**p - 4/3*l**3.
(l - 1)**4/3
Let v be (0/2)/((20/(-5))/(-4)). Suppose v = 3*t + 2*i - 16, -4*t - t + i + 5 = 0. Let -9/4*c**3 - 1 - 3*c + 25/4*c**t = 0. Calculate c.
-2/9, 1, 2
Let o(u) = -7*u**2 + 756*u + 251. Let d(n) = -30*n**2 + 3025*n + 1005. Let j(i) = -4*d(i) + 15*o(i). Factor j(r).
5*(r - 51)*(3*r + 1)
Find a, given that 1/8*a**4 - 19/8*a + 21/8*a**2 + 3/4 - 9/8*a**3 = 0.
1, 6
Let j = 1398 - 1395. Factor 10/3*m + 2/3*m**j - 8/3*m**2 - 4/3.
2*(m - 2)*(m - 1)**2/3
Let y(f) be the first derivative of f**6/8 + 27*f**5/5 + 423*f**4/8 - 209*f**3 - 3249*f**2/8 - 666. Find h such that y(h) = 0.
-19, -1, 0, 3
Let u(t) be the second derivative of t**6/1980 - t**5/330 + t**4/132 + t**3/2 + 12*t. Let z(v) be the second derivative of u(v). Factor z(q).
2*(q - 1)**2/11
Suppose -5*q + 32 = 3*x, 0*x + 2*q = -x + 11. Let d be (-8 + x)*(4 + 1). Suppose 7/3*u**4 + 4/3 + 25/3*u**2 + 1/3*u**d + 16/3*u + 19/3*u**3 = 0. Calculate u.
-2, -1
Let g = 86 + -55. Determine p, give