 = 3*o - 4*z + 5, -2*z = o + 3 + 2. Let j = 6 + o. Solve -2/7*y**j + 2/7*y**4 + 0 + 0*y + 2/7*y**5 - 2/7*y**2 = 0.
-1, 0, 1
Let f(z) = -8*z**2 + 98*z - 136. Let p(c) = 3*c**2 - 33*c + 44. Let i(g) = -5*f(g) - 16*p(g). Factor i(a).
-2*(a - 4)*(4*a - 3)
Let a(o) = 3*o - 6*o**2 + 1487 - 4*o**3 - 1481 - o**3. Let q(g) = -6*g**3 - 6*g**2 + 3*g + 6. Let u = 6 - 9. Let m(i) = u*a(i) + 2*q(i). Factor m(p).
3*(p - 1)*(p + 1)*(p + 2)
Suppose -48*s**2 - 80*s**3 - 41*s**4 + s**4 + 3*s**5 - 7*s**5 + 4*s**4 = 0. What is s?
-6, -2, -1, 0
Let u = -79 - -85. Let y(k) be the second derivative of 0*k**2 + 2*k + 0 + 0*k**4 + 1/60*k**u + 0*k**3 + 1/20*k**5 - 1/84*k**7. Factor y(v).
-v**3*(v - 2)*(v + 1)/2
Let a(w) = 0*w + 8*w + 7*w - w**2 - 14*w. Let x(h) = h**2 + 74*h + 432. Let o(r) = -2*a(r) + x(r). Determine n so that o(n) = 0.
-12
Let m(r) = -2*r + 4. Let o be m(-2). Solve x**2 - 6*x**4 + 5*x**2 - 5*x**3 + 103*x**5 - 106*x**5 + o*x**3 = 0.
-2, -1, 0, 1
Suppose 6*z - 16 = 8. Suppose -b**z + b**5 - 3*b**3 + b**5 + 0*b**4 = 0. What is b?
-1, 0, 3/2
Solve 5*c**4 + 108 - 2*c**4 + 6*c**3 + 0 - 18*c**2 - 36*c - 15*c**2 + 0*c**4 = 0.
-3, 2
Let l(w) = -10*w**4 + 22*w**3 - 20*w**2 + 14*w. Let m = 25 - 31. Let t(v) = -v**4 + v**3 + v. Let y(u) = m*t(u) + l(u). Factor y(d).
-4*d*(d - 2)*(d - 1)**2
Factor -6/7*r**2 + 10/7*r**3 - 2/7*r**4 - 2/7*r**5 + 0 + 0*r.
-2*r**2*(r - 1)**2*(r + 3)/7
Suppose -2*u - 76 + 86 = 0. Let d(z) = z**2 + 4*z - 1. Let g be d(-5). Factor -2*c**3 - 3*c + 6*c - 3*c**5 + 6*c**u - g*c**3.
3*c*(c - 1)**2*(c + 1)**2
Let u = 5626 - 5624. Factor p**u - 5/4*p**3 - 3/4*p**4 + p + 0.
-p*(p - 1)*(p + 2)*(3*p + 2)/4
Suppose 1/6*p**3 + 5/2*p**2 + 13/6 + 9/2*p = 0. Calculate p.
-13, -1
Let d(r) be the first derivative of -r**4/2 + 2*r**3 + 6*r**2 - 16*r - 226. Factor d(w).
-2*(w - 4)*(w - 1)*(w + 2)
Suppose -2*r + 14*r = 108. Let u = r - 35/4. Find f such that 1/2*f - u*f**2 + 0 = 0.
0, 2
Suppose -4*k + 16 = 4*a, -a + 5*a + 4 = 0. Determine j so that 5*j**3 + 2*j**2 - j - 3*j**k + 4*j**5 + 4*j**4 + j = 0.
-2, -1, 0
Let h(g) be the third derivative of 4*g**7/315 - g**6/30 + g**5/45 - 379*g**2. Factor h(y).
4*y**2*(y - 1)*(2*y - 1)/3
Let h(m) be the first derivative of m**6/1620 + m**5/135 + m**4/36 + m**3 - 17. Let q(r) be the third derivative of h(r). Factor q(g).
2*(g + 1)*(g + 3)/9
Factor 2/9*i**2 - 16/3 - 20/9*i.
2*(i - 12)*(i + 2)/9
Find j, given that -j**4 - 5*j**2 - 16*j**3 - j**4 + 15928*j - 15948*j + 43*j**2 = 0.
-10, 0, 1
Factor -1/2*w**2 - 2 - 5/2*w.
-(w + 1)*(w + 4)/2
Let o be 2 - 6 - 232/10. Let j = -27 - o. Factor 0*l - 1/5*l**2 - j*l**3 + 0.
-l**2*(l + 1)/5
Let o(v) be the first derivative of -1/6*v**3 + 3/2*v + 13 + 1/2*v**2. What is z in o(z) = 0?
-1, 3
Let z(u) be the second derivative of 3*u**5/20 - 279*u**4/4 + 25947*u**3/2 - 2413071*u**2/2 - 199*u. What is h in z(h) = 0?
93
Let u(y) be the first derivative of 2*y**5/9 - y**4/6 - 4*y**3/27 + 58. Factor u(i).
2*i**2*(i - 1)*(5*i + 2)/9
Suppose 3*i**3 - 15*i**2 + 6*i**2 + 23 + 28*i - 107 - 100*i = 0. Calculate i.
-2, 7
Suppose 4*y = 2*o - 26, -4*o - 4*y = 4 + 4. Let s(j) be the first derivative of o*j**2 + 5 - 4/3*j**3 - 2*j. Find v, given that s(v) = 0.
1/2, 1
Let i(q) be the third derivative of q**6/30 - 2*q**5/15 - 4*q**4/3 + 113*q**2. Solve i(l) = 0.
-2, 0, 4
Let m(s) be the third derivative of 2*s**7/105 - 11*s**6/180 - 2*s**5/45 + s**4/9 + 115*s**2. Let m(f) = 0. Calculate f.
-2/3, 0, 1/2, 2
Let j(f) be the third derivative of 1/10*f**6 + 2*f**2 + 1/168*f**8 + 0*f**3 + 4/105*f**7 + 1/12*f**4 + 0*f + 2/15*f**5 + 0. Factor j(h).
2*h*(h + 1)**4
Let y(w) be the first derivative of -16 + 3/4*w**4 + 6*w**2 + 0*w + 4*w**3. Factor y(q).
3*q*(q + 2)**2
Let p = -17 + 19. Suppose 4*x - 46 = p*x. Determine a so that 2*a + x*a + 3*a**2 - 7*a + 27 = 0.
-3
Let h(n) be the second derivative of 0*n**2 + 1/10*n**5 + 0 + 27*n + 1/30*n**6 - 5/12*n**4 - n**3. Factor h(s).
s*(s - 2)*(s + 1)*(s + 3)
Let g be (2 - (-4)/(-1))*-1. Let x be 3/(-2)*((-609)/(-126) - 5). What is r in 1/2*r + x*r**g - 3/4 = 0?
-3, 1
Let h(d) be the first derivative of 15 - 16*d - 4*d**4 + 8*d**2 + 4/5*d**5 + 4*d**3. Factor h(f).
4*(f - 2)**2*(f - 1)*(f + 1)
Let r(j) be the second derivative of j**6/80 + j**5/8 + j**4/2 + j**3 - 6*j**2 - 4*j. Let o(q) be the first derivative of r(q). Let o(h) = 0. What is h?
-2, -1
Let h(k) be the third derivative of 0*k**3 + 1/1680*k**8 + 18*k**2 + 0*k**4 + 0*k + 1/150*k**5 - 1/525*k**7 - 1/600*k**6 + 0. Find b such that h(b) = 0.
-1, 0, 1, 2
Let i(h) = -h**4 - 2*h**3 - h - 1. Let o(g) = -g**4 - 27*g**3 - 5*g**2 + 9*g - 6. Let u(v) = -6*i(v) + o(v). Factor u(x).
5*x*(x - 3)*(x - 1)*(x + 1)
Let n = 169/135 - 23/27. Let -6*s**2 + 14/5*s**3 - n*s**4 - 8/5 + 26/5*s = 0. What is s?
1, 4
Factor 28/3*f + 38/3*f**3 + 4/3 + 3*f**4 + 53/3*f**2.
(f + 1)**2*(f + 2)*(9*f + 2)/3
Let h(g) be the second derivative of 2*g**3 + 0 - 5/2*g**4 + 9/20*g**5 + 12*g**2 - 23*g. Let h(d) = 0. What is d?
-2/3, 2
Let t(s) be the second derivative of 1/54*s**4 + 0*s**3 - 21*s - 1/9*s**2 + 0. Let t(r) = 0. Calculate r.
-1, 1
Let f(c) be the first derivative of 2/3*c**3 - 1/6*c**6 + 0*c + 1/4*c**4 + 0*c**2 - 2/5*c**5 - 12. Factor f(x).
-x**2*(x - 1)*(x + 1)*(x + 2)
Let a be (0 - 0)*(-1)/15*3. Let p(g) be the third derivative of 4/21*g**3 + 0*g + a + 1/21*g**4 + 1/210*g**5 + 4*g**2. Find k, given that p(k) = 0.
-2
Let h(b) be the second derivative of b**6/540 - 2*b**5/45 + 4*b**4/9 + 17*b**3/6 - 33*b. Let u(g) be the second derivative of h(g). Factor u(l).
2*(l - 4)**2/3
Suppose -2*f = -5*h - 24, 4*f - 4*h - 21 = 3. Solve -16*k**2 - 24*k**f + 56*k**2 + 12*k + 4*k**3 = 0.
-3, -1, 0
Let r(m) be the third derivative of -m**9/20160 - 7*m**5/30 - m**3/3 + 2*m**2 - 37*m. Let o(s) be the third derivative of r(s). Factor o(p).
-3*p**3
Let r(p) be the second derivative of p**7/1470 - p**6/420 + p**5/420 - 11*p**2 - 16*p. Let y(h) be the first derivative of r(h). Determine f so that y(f) = 0.
0, 1
Factor 2 + 112*q**2 + 98*q + 24*q**3 - 165*q + 98*q - 88*q**3.
-(q - 2)*(8*q + 1)**2
Let o(d) = -4*d**4 - 4*d**3 + 9*d**2 + 13*d - 14. Let m(g) = 11*g**4 + 13*g**3 - 27*g**2 - 37*g + 40. Let j(l) = -3*m(l) - 8*o(l). Find i such that j(i) = 0.
-8, -1, 1
Let q(m) be the third derivative of m**7/840 - m**6/240 - m**5/60 + m**4/48 + m**3/8 + 44*m**2 - 2*m. Factor q(d).
(d - 3)*(d - 1)*(d + 1)**2/4
Find t, given that 0*t**2 + 0 + 6*t**3 + 0*t + 49/6*t**5 - 14*t**4 = 0.
0, 6/7
Let d = -2 + 9. Let c = d + -5. Factor -4*h - h**2 + h**c - 6 + 2*h**2.
2*(h - 3)*(h + 1)
Let b(y) = -8*y**2 - 57*y + 60. Let x(i) = -39*i**2 - 285*i + 300. Let u(g) = 24*b(g) - 5*x(g). Let u(k) = 0. What is k?
-20, 1
Let p(v) be the first derivative of v**3/12 + 9*v**2/4 + 81*v/4 - 52. Factor p(n).
(n + 9)**2/4
Let b(k) = 17*k - 9. Let n be b(-6). Let v = n + 223/2. Find u such that 1/2*u**3 - v*u - 1/4 + 0*u**2 + 1/4*u**4 = 0.
-1, 1
Factor -2/7*n**2 - 108/7 - 58/7*n.
-2*(n + 2)*(n + 27)/7
Let q be (-2)/(-10) + (-484)/(-55). Determine l so that 7*l - 2*l**4 - q*l**2 + 8*l**3 - 2 + 5*l**4 - 4*l**4 - 3*l**3 = 0.
1, 2
Let b = -6261 + 6263. Factor 3/2*i**4 - 3/2*i**b + 0*i**3 + 0 + 0*i.
3*i**2*(i - 1)*(i + 1)/2
Let a(j) be the first derivative of -12 + 7*j**2 - 48*j - j**3 + 6*j**2 - 6*j**2 + 5*j**2. Let a(x) = 0. What is x?
4
Suppose -3*u + 2*u - 2 = -p, -3*p + u + 12 = 0. Suppose p*o + 5 - 20 = 0. Factor 4*z**2 + z - z**3 + o*z**3 + 3*z - 10*z**3.
-4*z*(z - 1)*(2*z + 1)
Let i = 4532 - 4530. Determine d so that 9/2*d**3 - 3/2 - 21/2*d**i + 15/2*d = 0.
1/3, 1
Suppose 4*w - j + 2*j = 206, 3*w + 5*j - 163 = 0. Let 37*n**5 - w*n**5 - 3*n**4 - n**4 = 0. What is n?
-2/7, 0
Let d(t) be the first derivative of -189*t**6/2 + 657*t**5/5 + 255*t**4/4 - 75*t**3 - 54*t**2 - 12*t + 35. Determine p, given that d(p) = 0.
-1/3, -2/7, -2/9, 1
Let w(r) be the second derivative of -5*r**2 - 1/30*r**5 - 1/12*r**4 + 0 + 11*r + 2/3*r**3. Let o(u) be the first derivative of w(u). Factor o(i).
-2*(i - 1)*(i + 2)
Let o = 15983/4 - 3992. Factor -3*r - 9/2*r**2 - 3/4*r**4 + 6 + o*r**3.
-3*(r - 2)**3*(r + 1)/4
Let g(h) be the third derivative of 31/70*h**5 + 11/14*h**4 - 1/7*h**7 + 4/7*h**3 - 9*h**2 - 25/784*h**8 - 19/280*h**6 + 0 + 0*h. What is d in g(d) = 0?
-2, -1, -2/5, 1
Suppose 0 = -17*t + 12*t + 175. F