**2 + 14*c**3 = 0. What is c?
-1, 1/2, 1
Let f = -131 - -445/3. Let q = -17 + f. Factor 0 - 2/3*i**3 - 1/3*i**2 + 0*i - q*i**4.
-i**2*(i + 1)**2/3
Factor 3/5 - 2/5*m - 1/5*m**2.
-(m - 1)*(m + 3)/5
Let r be (7 - -11)*4/6. Let o = r - 3. Factor 22*y - 8*y**2 - 5 + o*y**3 - y**3 + 1 - 18*y**2.
2*(y - 2)*(y - 1)*(4*y - 1)
Let l be (((-105)/(-6))/(-7))/((-20)/12). Factor l*z**2 + 0*z - 21/4*z**3 + 0.
-3*z**2*(7*z - 2)/4
Factor 5/3*t**2 + 0*t + 0.
5*t**2/3
Let y = -135 + 137. Let v(p) be the third derivative of 1/240*p**5 + 0*p - 1/1344*p**8 + 0 + 0*p**3 - 1/840*p**7 + 1/480*p**6 + 2*p**y + 0*p**4. Factor v(j).
-j**2*(j - 1)*(j + 1)**2/4
Let x(h) be the first derivative of 0*h - 3 + 0*h**2 + 1/15*h**3 + 3/25*h**5 - 1/30*h**6 - 3/20*h**4. Suppose x(w) = 0. What is w?
0, 1
Let j(c) = -c**5 + 5*c**4 + 6*c**3 - 14*c**2 - c + 1. Let s(i) = -i**5 + 5*i**4 + 7*i**3 - 15*i**2 - i. Let m(h) = 5*j(h) - 4*s(h). Factor m(g).
-(g - 5)*(g - 1)**2*(g + 1)**2
Factor 0*c - 2/9*c**2 + 2/9.
-2*(c - 1)*(c + 1)/9
Factor -4 - 18*d - 7/2*d**3 - 15*d**2.
-(d + 2)**2*(7*d + 2)/2
Find y, given that -10/3*y + 16/3*y**2 - 28/3 - 2/3*y**3 = 0.
-1, 2, 7
Suppose 4*d = -2*w - 8, -d + 2 = 4. Let f = 2 - w. Suppose 0 + 0*k + 1/4*k**f = 0. Calculate k.
0
Let z(c) be the first derivative of -c**6/840 - c**5/140 + 3*c**2/2 - 8. Let q(a) be the second derivative of z(a). Factor q(y).
-y**2*(y + 3)/7
Factor -6/5*i**3 + 4/5 - 8/5*i**2 + 2/5*i.
-2*(i + 1)**2*(3*i - 2)/5
Let v(q) be the second derivative of q**3 + 0 + 1/4*q**4 + 3/2*q**2 - q. Find g such that v(g) = 0.
-1
Let w(g) = g**3 + 5*g**2 - 5. Let x be w(-4). Let l = 13 - x. Factor 1/2*d**l + 1/2 + d.
(d + 1)**2/2
Factor 0*i + 2/9*i**3 - 2/3*i**2 + 8/9.
2*(i - 2)**2*(i + 1)/9
Suppose 3*v = -4*g - 4, 4*v = -4*g + g - 10. Let o(w) be the first derivative of 2*w - 2 + 2/3*w**3 - 2*w**g. Solve o(q) = 0.
1
Let a(y) be the third derivative of -y**5/45 + 10*y**4/9 - 200*y**3/9 + 30*y**2. Factor a(n).
-4*(n - 10)**2/3
Let v(f) be the third derivative of -f**6/190 - f**5/114 + f**4/228 - 43*f**2. Factor v(h).
-2*h*(h + 1)*(6*h - 1)/19
Let g be (-4)/(-10) + 23/(-60). Let a(x) be the third derivative of 0*x + 1/12*x**4 - x**2 + 0 + g*x**6 + 0*x**3 - 1/15*x**5. Factor a(k).
2*k*(k - 1)**2
Let s(h) = -h + 10. Let l be s(8). Find r, given that -3*r + 7*r**l - 8*r**2 - 1 - 1 = 0.
-2, -1
Let v(j) be the first derivative of j**3/2 - 3*j**2/4 - 3*j + 1. Find y, given that v(y) = 0.
-1, 2
Factor -5/2*k**2 - 3 + 17/2*k.
-(k - 3)*(5*k - 2)/2
Let i(z) be the second derivative of -z**5/20 + 9*z**4/16 - 17*z**3/24 - 3*z**2/4 + 19*z. Factor i(j).
-(j - 6)*(j - 1)*(4*j + 1)/4
Let y(a) be the first derivative of -3*a + 5/42*a**4 + 1/70*a**5 + 4/7*a**2 + 8/21*a**3 - 3. Let c(k) be the first derivative of y(k). What is w in c(w) = 0?
-2, -1
Suppose -1 = 4*j - 5, -1 = -2*w + 3*j. Let h(u) be the third derivative of 0 + 1/24*u**4 - w*u**2 + 1/30*u**5 + 0*u**3 + 0*u - 1/40*u**6. Solve h(c) = 0 for c.
-1/3, 0, 1
Suppose 5 = 4*v - 15. Suppose 3 + v = 4*b. Factor -b*u**2 - 2 - 1 - 6*u - 1.
-2*(u + 1)*(u + 2)
Solve -4*p + 122 + 2*p**2 - 122 = 0.
0, 2
Let u(w) be the first derivative of w**6/720 + w**5/60 + w**4/12 - w**3 + 3. Let o(p) be the third derivative of u(p). Factor o(t).
(t + 2)**2/2
Suppose -3*x = r - 17, x + 2 = 3*r + 1. Suppose 2 - x = -v. Find t such that -21*t**3 + 20*t**v - 2*t**2 + 0*t**2 + 0*t**2 = 0.
-2, 0
Let u(q) = 2*q**3 - q**2 + 2*q - 1. Let z be u(1). Suppose 2*f + 8*o - 8 = 4*o, -f + 2*o = 0. Factor f*x - 8/5*x**z - 2/5.
-2*(x - 1)*(4*x - 1)/5
Factor 1 - 1/2*j**3 - j**2 + 1/2*j.
-(j - 1)*(j + 1)*(j + 2)/2
Let l(i) = -3*i**5 - 2*i**4 - i - 2. Let v(w) = 16*w**5 + 11*w**4 + w**3 + 5*w + 11. Let j(y) = 11*l(y) + 2*v(y). Factor j(o).
-o*(o - 1)**2*(o + 1)**2
Let t be (1 + -4)*(-10)/15. Let n(v) be the third derivative of t*v**2 + 0*v + 1/54*v**4 - 1/27*v**3 - 1/270*v**5 + 0. Let n(p) = 0. What is p?
1
Let i = -28 - -33. Let n(s) be the third derivative of -2/9*s**3 + 1/36*s**4 + 0*s + s**2 + 1/90*s**i + 0. Factor n(g).
2*(g - 1)*(g + 2)/3
Solve -11*r**4 - 87*r**3 - 2*r**2 + 75*r**3 - 7*r**4 = 0 for r.
-1/3, 0
Let b be (-2)/(-8) - 22/(-8). Suppose 5*v - 5*k = -0*v, 0 = -5*v + b*k. Factor 2/3*m**4 - 4/3*m**3 + v + 0*m + 2/3*m**2.
2*m**2*(m - 1)**2/3
Let f(b) = -b**2 - 3*b - 3. Let m be f(-2). Let a(q) = -q**2 - q + 1. Let k be a(m). Suppose u - 3 - u**3 + k + u**2 + 1 = 0. What is u?
-1, 1
Let n(b) be the third derivative of 0*b + 1/16*b**4 - 1/20*b**5 + 0*b**3 - 3/80*b**6 + b**2 + 0. Determine m, given that n(m) = 0.
-1, 0, 1/3
Let f(q) be the second derivative of 3/8*q**2 - 3*q + 0*q**3 + 0 - 1/16*q**4. Suppose f(t) = 0. What is t?
-1, 1
Let u(m) = 17 + 79*m**2 + 19 - 144*m - 15*m**3 + 20*m**2. Let c(g) = -3*g**3 + 20*g**2 - 29*g + 7. Let v(i) = -24*c(i) + 5*u(i). Factor v(l).
-3*(l - 2)**2*(l - 1)
Let o(m) be the first derivative of 1/10*m**5 + 2 + 2/3*m**3 + 0*m**2 - 2*m + 1/2*m**4. Let y(l) be the first derivative of o(l). Suppose y(f) = 0. What is f?
-2, -1, 0
Let v(w) be the second derivative of -1/90*w**6 + 0 - 2*w + 0*w**3 + 1/30*w**5 + 0*w**4 + 0*w**2. Factor v(f).
-f**3*(f - 2)/3
Factor 15*i + 2*i**5 + 9*i**2 + i**5 - 15*i**3 - 15*i + 3*i**4.
3*i**2*(i - 1)**2*(i + 3)
Let m(t) be the first derivative of 1 - 1/18*t**4 - 4/9*t**3 - 4/3*t**2 + t. Let d(n) be the first derivative of m(n). Solve d(l) = 0.
-2
Find g, given that 1078 - 1070 - 22*g + g**4 + 12*g**2 + 9*g**2 - 8*g**3 = 0.
1, 2, 4
Let d = -25 - -143/5. Factor 12/5*v**2 + 0 - 2/5*v - d*v**3.
-2*v*(3*v - 1)**2/5
Let u be (-1 - 0)*(-13 - -10). Let w(n) be the second derivative of 0 + 1/18*n**4 + 4/9*n**u + 4/3*n**2 + n. Solve w(f) = 0.
-2
Let t(a) be the first derivative of 4*a**5/5 - 3*a**4 + 8*a**3/3 + 6. What is i in t(i) = 0?
0, 1, 2
Let z(a) = 2*a**3 + a + 3. Let g(k) = -k**3 - 1. Let s(b) = 6*g(b) + 2*z(b). Factor s(t).
-2*t*(t - 1)*(t + 1)
Let m(v) be the second derivative of -v**7/105 + v**6/75 + v**5/50 - v**4/30 + 8*v. Factor m(x).
-2*x**2*(x - 1)**2*(x + 1)/5
Let q be (6/(-6))/(1/(-7)). Let a = q - 5. Determine y, given that 2/7*y**4 - 2/7*y**a - 2/7*y**5 + 0 + 2/7*y**3 + 0*y = 0.
-1, 0, 1
Let b be 8/6*12/4. Let w(a) be the first derivative of b*a - 2/3*a**3 - 3 - a**2. What is q in w(q) = 0?
-2, 1
Let r(s) be the third derivative of s**8/20160 + s**7/5040 - s**5/60 + 3*s**2. Let u(t) be the third derivative of r(t). Determine x, given that u(x) = 0.
-1, 0
Let z(o) be the second derivative of o**5/20 - o**3/2 - o**2 + 16*o. Factor z(j).
(j - 2)*(j + 1)**2
Let f be 1/(-4)*2*0. Let m = 2 - f. Solve -4 - i**4 - 2*i**4 + 4*i + m*i**4 - 2*i**3 + i**2 + 2*i**2 = 0 for i.
-2, 1
Factor -h + 3*h - 4*h**2 - 26*h**5 + 24*h**5 + 4*h**4.
-2*h*(h - 1)**3*(h + 1)
Suppose 2*r - 6 = 4. Factor -2*q**2 + q + q**5 - 3*q**r + q**5 + 2*q**4.
-q*(q - 1)**3*(q + 1)
Let c(d) be the first derivative of -d**6/105 - d**5/70 + d**4/42 + d**3/21 - d + 2. Let i(v) be the first derivative of c(v). Factor i(s).
-2*s*(s - 1)*(s + 1)**2/7
Let j(y) be the first derivative of 1/6*y**3 + 0*y**2 + 0*y + 2. Find w such that j(w) = 0.
0
Let t be (-6 - 164/(-28))/(2/(-4)). Suppose 6/7*c + 4/7 + t*c**2 = 0. Calculate c.
-2, -1
Solve 1/5 + 2/5*v**2 - 2/5*v**3 + 3/5*v - 1/5*v**5 - 3/5*v**4 = 0 for v.
-1, 1
Let q be 2/4 - 35/(-10). Find z such that 2*z**4 + 2*z**4 + z**3 - 3*z**q - 2*z**4 = 0.
0, 1
Let u(m) = 16*m**2 - 6*m + 11. Let b(h) be the third derivative of -h**5/20 + h**4/24 - h**3/3 + 3*h**2. Let v(o) = 11*b(o) + 2*u(o). Solve v(l) = 0.
-1, 0
Let g(q) be the first derivative of -q**6/720 - q**5/120 - 2*q**3/3 - 3. Let b(p) be the third derivative of g(p). Solve b(d) = 0 for d.
-2, 0
Let v be 6/(-8) + 43/4. Let g = v + -10. Factor 0*y**3 - 1/2*y**5 + 1/2*y + g + y**4 - y**2.
-y*(y - 1)**3*(y + 1)/2
Find o, given that 20*o - o**3 - 8*o**2 + 24 - 5*o**3 - 3*o**3 + 5*o**3 = 0.
-3, -1, 2
Let y(i) be the third derivative of 3*i**7/140 + 29*i**6/240 + 11*i**5/40 + 5*i**4/16 + i**3/6 + 3*i**2. Let y(b) = 0. Calculate b.
-1, -2/9
Suppose -g - 2*g + 9 = 0. Determine r, given that -r**g - r**2 - 3*r - 2*r**2 + 0*r - 1 = 0.
-1
Let w(d) be the second derivative of d**6/180 + d**3/2 + 2*d. Let i(x) be the second derivative of w(x). Factor i(c).
2*c**2
Let w(k) be the third derivative of k**7/14 + k**6/5 + k**5/20 - k**4