Solve -2*c + 0*c + 4*c**3 - c**g - c**5 = 0.
-1, 0, 1
Let d be (-87)/(-27) + 2*(-9)/6. Solve -8/9 - d*q**2 - 8/9*q = 0 for q.
-2
Let s(c) be the second derivative of c**5/70 - c**4/14 - 4*c**3/21 + 13*c. Factor s(r).
2*r*(r - 4)*(r + 1)/7
Let u = -168 - -33. Let i = -1195/9 - u. Factor -i*p**3 - 2/9 - 8/3*p**2 - 4/3*p - 2/3*p**4.
-2*(p + 1)**3*(3*p + 1)/9
Determine c, given that -c**3 + 4*c - 55 + 0*c**3 + 103 + c**2 - 52 = 0.
-2, 1, 2
Let q(j) be the second derivative of -j**7/42 + j**6/15 - j**4/6 + j**3/6 - 5*j. Factor q(z).
-z*(z - 1)**3*(z + 1)
Determine j, given that 5*j - 76 + 76 - 10*j**2 + 10*j**4 - 5*j**5 = 0.
-1, 0, 1
Factor 1/4*w**2 - 1/2*w**3 + 0 + 1/2*w - 1/4*w**4.
-w*(w - 1)*(w + 1)*(w + 2)/4
Let o(w) be the first derivative of -2*w**3/15 + w**2/5 - 12. Factor o(i).
-2*i*(i - 1)/5
Determine l so that 5/3*l - 5/3*l**2 + 10/3 = 0.
-1, 2
Suppose -11*g + 6 + 27 = 0. Let k(h) be the first derivative of -3/4*h**4 + 0*h**2 + 3/5*h**5 - 1 - 1/6*h**6 + 0*h + 1/3*h**g. Factor k(p).
-p**2*(p - 1)**3
Suppose 2*w + 12 = -4*v, 0*v + 6 = -5*w - 2*v. Let n(y) be the third derivative of 2*y**2 + 1/90*y**5 + 0*y + 1/9*y**3 + w - 1/18*y**4. Factor n(d).
2*(d - 1)**2/3
Let y(a) be the first derivative of 1/3*a**3 + 9*a + 3*a**2 + 1. Let y(b) = 0. Calculate b.
-3
Let x(p) be the third derivative of 1/780*p**6 + 0*p**4 - 4*p**2 + 0*p**3 + 0*p**5 + 0*p + 0. Solve x(a) = 0.
0
Suppose s - 3 = 1. Let y be ((-6)/12)/((-1)/s). Factor 0*o**2 - 5*o**4 + 3*o**2 - 2*o + y*o**3 + 2*o**2.
-o*(o - 1)*(o + 1)*(5*o - 2)
Suppose 2/3*i + 0 + 1/3*i**3 - i**2 = 0. What is i?
0, 1, 2
Suppose -4*f = -3*c - 8, -5*f - 4*c = c - 10. Let t(p) be the second derivative of 0*p**f - 1/15*p**6 - 1/6*p**4 - 1/5*p**5 + 3*p + 0*p**3 + 0. Factor t(a).
-2*a**2*(a + 1)**2
Let q be (0/(3 - -1))/(0 - -1). Let 1/3*h + q + 2/3*h**2 + 1/3*h**3 = 0. What is h?
-1, 0
Let r(l) = -l**3 + 7*l**2 - 8*l - 4. Let d be r(5). Let q be (-5)/((-15)/d) - 2. Suppose 3/7*a**2 + q + 3/7*a = 0. What is a?
-1, 0
Suppose 15 = -2*x + 7*x. Solve 3*b**5 + 6*b**2 + b**4 + 2 - 3*b - 9*b**4 + 4*b**x - 4*b = 0.
-1, 2/3, 1
Factor 8/23*y**3 + 2/23*y**4 - 4/23*y**2 - 24/23*y + 18/23.
2*(y - 1)**2*(y + 3)**2/23
Let g(f) be the second derivative of 0*f**2 + 0*f**5 + 0 - 1/42*f**7 + 0*f**3 + 3*f - 1/30*f**6 + 0*f**4. Factor g(o).
-o**4*(o + 1)
Let m(w) = -w + 2. Let z be m(0). Let q(t) be the first derivative of 3*t**z - 4*t + 3 - 2/3*t**3. Let q(l) = 0. Calculate l.
1, 2
Let x(s) be the third derivative of 2*s**7/105 - s**6/12 + 2*s**5/15 - s**4/12 + 24*s**2. Factor x(l).
2*l*(l - 1)**2*(2*l - 1)
Let w(n) be the first derivative of -n**4/2 + 8*n**3/3 - 4*n**2 + 1. Factor w(t).
-2*t*(t - 2)**2
Let p(z) = 4*z**5 - 2*z**4 - 4*z**3 + 4*z**2. Let v(a) = 5*a**5 - 2*a**4 - 5*a**3 + 5*a**2. Let g(k) = 3*p(k) - 2*v(k). What is y in g(y) = 0?
-1, 0, 1
Factor -18*l + 15 - 3*l**2 - 18*l + 48*l.
-3*(l - 5)*(l + 1)
Let g be (-1)/(0 - 4/12). Let m(q) be the first derivative of -1/6*q**2 - 1/9*q**g - 2 + 2/3*q. Determine p, given that m(p) = 0.
-2, 1
Suppose -1 + 13 = 2*k. Let 10*i**4 + k*i**4 - 12*i**5 - 2*i**4 - 3 - 3*i**3 + 10*i**4 + 15*i - 21*i**2 = 0. What is i?
-1, 1/2, 1
Let a(r) = 4*r**2 - 36*r - 8. Let s(t) = 3*t**2 - 24*t - 5. Let n(b) = -5*a(b) + 8*s(b). Factor n(f).
4*f*(f - 3)
Suppose -4*b = -2*m + 7*m + 17, 0 = -2*b + 2*m + 14. Determine c, given that -4/13*c**b - 2/13*c**3 + 2/13*c + 4/13 = 0.
-2, -1, 1
Find k such that 9 + 45*k**2 + 30 - 19 + 60*k = 0.
-2/3
Find z such that -2*z**3 + z**2 + 35*z + 3*z**3 - 38*z + z**2 = 0.
-3, 0, 1
Suppose 6 = 6*o - 0. Let y be -4*(o + 7/(-4)). Factor 0 - 1/6*p + 1/2*p**y - 1/3*p**2.
p*(p - 1)*(3*p + 1)/6
Let t(p) be the third derivative of p**5/84 + 17*p**4/168 + p**3/7 - 11*p**2. Factor t(l).
(l + 3)*(5*l + 2)/7
Let d(t) be the second derivative of -t**6/30 - 3*t**5/40 + t**4/6 + t**3/4 - t**2/2 - 11*t. Solve d(o) = 0.
-2, -1, 1/2, 1
Suppose -5*h - 4 = d, -4*h = -9 + 25. Let p be (-6)/8 + 44/d. What is q in 4/7*q**4 - 6/7*q**5 + 8/7*q**3 - 4/7*q**p - 2/7*q + 0 = 0?
-1, -1/3, 0, 1
Let f(n) be the first derivative of 3*n**6/14 + 24*n**5/35 + 3*n**4/4 + 2*n**3/7 + 12. Solve f(s) = 0.
-1, -2/3, 0
Suppose -5*q = 3*u - u - 24, -5*u + 60 = -q. Let s be 15/4 + u/(-16). Factor 1/4*r - 1/2*r**2 + 0 + 1/4*r**s.
r*(r - 1)**2/4
Let q be (-1)/3 + 6/9 - 0. Find z such that z**2 + 0 + q*z = 0.
-1/3, 0
Suppose 4*n = -o - n + 20, n = -2*o + 4. Let w(v) be the second derivative of v - 1/12*v**4 + 0 - 1/3*v**3 + o*v**2. Determine u so that w(u) = 0.
-2, 0
Let v(d) = -4*d**4 + 2*d**3 + d**2 + d - 6. Let g(u) = -2*u**2 + 4*u**4 + 1 + 8 - u - u**3 - 2. Let r(b) = 6*g(b) + 7*v(b). Factor r(t).
-t*(t - 1)*(2*t - 1)**2
Let z = 157/306 + -2/153. Factor 1/4*t**5 - 2*t**2 + z*t**4 - 1/2*t**3 - 7/4*t - 1/2.
(t - 2)*(t + 1)**4/4
Suppose -s + 2*s - 3 = 0. Suppose -3*x + 3*v = -5*x - 3, -4*x = 3*v + s. Factor -2/3*h - 2/3*h**4 + x + 2/3*h**2 + 2/3*h**3.
-2*h*(h - 1)**2*(h + 1)/3
Let -14*z**2 + 4*z**3 + 4*z**2 - z**4 + 7*z**2 = 0. What is z?
0, 1, 3
Factor 2/17*i**4 + 0*i**2 + 0 + 8/17*i - 6/17*i**3.
2*i*(i - 2)**2*(i + 1)/17
Let y(i) be the second derivative of -i**7/49 - 11*i**6/105 - i**5/5 - i**4/7 + i**3/21 + i**2/7 - 10*i. Find l, given that y(l) = 0.
-1, 1/3
Let c(r) be the third derivative of 1/420*r**7 + 0*r**3 + 0*r**5 + 0*r + 5*r**2 + 0*r**4 - 1/240*r**6 + 0. Factor c(h).
h**3*(h - 1)/2
Let h be (-1)/(-4) + (-1)/(-4). Factor 1/2 - s + h*s**2.
(s - 1)**2/2
Let o(n) be the first derivative of n**4/8 - n**3/6 - n**2/2 - 10. Let o(m) = 0. What is m?
-1, 0, 2
Let m = -16 + 19. Let o(x) be the first derivative of 2 - 2/55*x**5 + 0*x - 2/11*x**m - 3/22*x**4 - 1/11*x**2. Find t such that o(t) = 0.
-1, 0
Let u be (24/(-128))/((-27)/4). Let x(f) be the third derivative of -f**2 + 1/60*f**6 + 1/30*f**5 + 0 + 0*f + 1/315*f**7 + u*f**4 + 0*f**3. Factor x(w).
2*w*(w + 1)**3/3
Factor 3*a**3 - 8*a**2 + 12*a + 5*a**2 - 8*a**2 - 4.
(a - 2)*(a - 1)*(3*a - 2)
Let n(l) = -l**3 + 5*l**2 - 3. Let x be n(5). Let s be x/(-2)*(-12)/(-9). Factor -s*p - 1 - p**2 + p + 2 + p**3.
(p - 1)**2*(p + 1)
Suppose 25*q - 40*q + 3*q**3 - 9*q - 6*q**2 = 0. What is q?
-2, 0, 4
Let h be ((-57)/266)/((-3)/4). Factor 0 + 0*s**3 - 4/7*s**2 - 2/7*s + h*s**5 + 4/7*s**4.
2*s*(s - 1)*(s + 1)**3/7
Let o(p) be the second derivative of -2*p**6/45 + 17*p**5/90 - 5*p**4/18 + p**3/9 + p**2/9 - 14*p. Factor o(l).
-2*(l - 1)**3*(6*l + 1)/9
Suppose -2*a + 2*c = 2, 4*a + 7 = 6*c - c. Factor 6*i + i**2 - 3*i**a + 5*i**2 - 9.
3*(i - 1)*(i + 3)
Let x = -7 + 9. Let r = 0 + x. Find l such that 1 - 1 + 2*l**r - 2*l = 0.
0, 1
Let z(u) be the second derivative of u**7/2520 - u**6/1080 + 2*u**3/3 + 4*u. Let d(y) be the second derivative of z(y). Factor d(i).
i**2*(i - 1)/3
Let l(y) be the third derivative of -7*y**7/360 + 7*y**6/180 - y**5/30 - y**4/24 + 3*y**2. Let t(u) be the second derivative of l(u). Factor t(s).
-(7*s - 2)**2
Let f(v) be the first derivative of -7*v**5 - 15*v**4 + 20*v**3/3 - 3. Suppose f(k) = 0. Calculate k.
-2, 0, 2/7
Let s(t) be the first derivative of -t**3/6 - 3*t**2/4 - t + 3. Factor s(w).
-(w + 1)*(w + 2)/2
Let l(s) = 3*s**2. Let b be 1/(2*3/(-18)). Let q(w) = w**4 + w**3 + 6*w**2 - w. Let u(n) = b*q(n) + 7*l(n). Factor u(y).
-3*y*(y - 1)*(y + 1)**2
Let c = -1/37 - -45/296. Let c*y**2 + 1/8*y**5 + 1/2 - y + 7/8*y**3 - 5/8*y**4 = 0. Calculate y.
-1, 1, 2
Let f = 1 + 6. Let v(h) = -h**3 + 8*h**2 - 7*h + 2. Let a be v(f). Factor -6/7*y**4 + 2/7*y**5 + 4/7*y**3 + 2/7 - 6/7*y + 4/7*y**a.
2*(y - 1)**4*(y + 1)/7
Let l = -7487/35 - -2077/7. Let i = -82 + l. Factor -2/5 - 2/5*b**2 - i*b.
-2*(b + 1)**2/5
Let t(l) be the second derivative of 0*l**3 - 1/48*l**4 + 0 + 0*l**2 + 1/80*l**5 - 2*l. Factor t(k).
k**2*(k - 1)/4
Let z(t) = t. Let q be z(2). Factor 3*v**q - 4 + 7*v**2 + 2*v - 8*v**2.
2*(v - 1)*(v + 2)
Let y(x) = -x**3 + 2*x**2. Let k(i) = 6*i**5 - 21*i**4 + 18*i**3 + 9*i**2 - 21*i + 6. Let p(o) = k(o) + 3*y(o). Suppose p(t) = 0. What is t?
-1, 1/2, 1, 2
Let z(r) be the first derivative of r**4/48 + r**3/12 + r**2/8 - 5*r + 8. Let p(o) be the first derivative of z(o). Factor p(k).
(k + 1)**2/4
Let i = 76288/423 - 1622/9. Let p = 52/329 + i. Solve p*y + 0 + 6/7*y**2 = 0.
-1/3, 0
Solve 6*u**2 - 6*u**2 - 8 + 4*u + 4*u**2 = 0 for u.
-2, 1
Let z(m) be 