 - 7*s**3/3 + 3*s. Solve u(i) = 0.
-1, 0, 7
Let o = 152 - 152. Let j(y) be the third derivative of 1/360*y**6 + 0*y**4 + 0*y**3 - 1/180*y**5 + o + 0*y - 3*y**2. Factor j(c).
c**2*(c - 1)/3
Let z(v) be the third derivative of 0*v + 1/12*v**4 - 2*v**2 - 1/60*v**5 + 0 - 1/6*v**3. Factor z(q).
-(q - 1)**2
Let r(p) be the third derivative of p**8/224 - 13*p**7/420 + 11*p**6/120 - 3*p**5/20 + 7*p**4/48 - p**3/12 - 2*p**2. Solve r(k) = 0.
1/3, 1
Let i(b) = -b**2. Let l(g) = -4*g**2 + 15*g. Let c(u) = i(u) + l(u). Factor c(m).
-5*m*(m - 3)
Suppose 3*o + 5*y = -0*o + 16, o - y = 0. Let v be 5/((-10)/(-4)) - 1. Factor -t - t**2 + o*t**3 - t**3 + 2*t**2 - v.
(t - 1)*(t + 1)**2
Let u be (-10)/(-3) + (-2 - 0). Suppose u - 125/6*h**3 - 10*h + 25*h**2 = 0. What is h?
2/5
Let l(s) be the third derivative of 1/35*s**7 + 1/8*s**4 - 10*s**2 - 1/10*s**5 + 0*s + 0*s**6 - 1/112*s**8 + 0 + 0*s**3. Factor l(x).
-3*x*(x - 1)**3*(x + 1)
Let y be (28/10)/(17/(-5)). Let t = 132/119 + y. Let 2/7*v**3 + 0*v + 2/7*v**2 + 0 - t*v**4 - 2/7*v**5 = 0. Calculate v.
-1, 0, 1
Let s be (0 - 0)/(1 + -3). Let c be 2/(1/2 - s). Suppose -2*o**3 + 4*o - 4*o + 2*o**c = 0. What is o?
0, 1
Let z(c) be the first derivative of -4*c**5/15 - c**4/3 + c**3/3 + c**2/3 - c/3 - 7. Factor z(b).
-(b + 1)**2*(2*b - 1)**2/3
Let x be (-2)/6*81/(-108). Factor 0 + 0*l**2 - x*l + 1/2*l**3 + 0*l**4 - 1/4*l**5.
-l*(l - 1)**2*(l + 1)**2/4
Let l(z) = z**3 - 5*z**2 - 9*z - 4. Let b be l(7). Let i = b + -27. Solve 0*h**2 + 10/9*h - 10/9*h**3 - 4/9*h**i + 4/9 = 0.
-2, -1, -1/2, 1
Let s(q) = 2*q - 2. Let c be s(3). Determine l, given that 3*l**c - 2*l + 2*l**3 + 2*l**4 - 3*l**4 - 2*l**2 = 0.
-1, 0, 1
Let y(x) be the first derivative of 1/6*x**4 + 2 - 2/15*x**5 + 2/9*x**3 - 1/3*x**2 + 0*x. Factor y(r).
-2*r*(r - 1)**2*(r + 1)/3
Let s(y) = -11*y - 7. Let d(n) = n**2 - 12*n - 8. Let l(j) = -j**3 - 19*j**2 - 18*j - 3. Let h be l(-18). Let i(m) = h*d(m) + 4*s(m). Factor i(w).
-(w + 2)*(3*w + 2)
Let u(h) be the second derivative of -5*h + 2/3*h**2 + 16/63*h**7 + 13/9*h**3 + 8/45*h**6 + 4/9*h**4 + 0 - 47/30*h**5. What is s in u(s) = 0?
-2, -1/4, 1
Let b(q) be the first derivative of 4*q**6/57 + 18*q**5/95 + 3*q**4/19 + 2*q**3/57 - 10. Let b(j) = 0. What is j?
-1, -1/4, 0
Let k(x) be the second derivative of x**5/5 - 3*x**4 + 16*x**3 - 32*x**2 + 35*x. Factor k(y).
4*(y - 4)**2*(y - 1)
Let w = -33 - -38. Let k(n) be the second derivative of -2*n - 1/20*n**4 + 1/10*n**3 - 1/10*n**2 + 0 + 1/100*n**w. Factor k(a).
(a - 1)**3/5
Let s(m) be the third derivative of 0*m**3 + 0*m + 1/60*m**5 + 2*m**2 + 0 - 1/12*m**4. Factor s(q).
q*(q - 2)
Let z(t) = 3*t**4 + 9*t**3 - 6*t. Let s(y) = 7*y**4 + 17*y**3 - 13*y. Let f(m) = -6*s(m) + 13*z(m). Find j such that f(j) = 0.
0, 5
Let g be (0 - 0)/(-3 - -4). Let v(j) be the third derivative of 0*j**3 + g - 3*j**2 + 0*j - 1/10*j**6 - 1/12*j**4 + 1/42*j**7 + 3/20*j**5. Factor v(z).
z*(z - 1)**2*(5*z - 2)
Let n(o) = -o**5 - 11*o**4 - 5*o**3 - 3*o**2 - 8*o - 11. Let l(f) = f**4 + f**3 + f**2 + f + 1. Let y(i) = 22*l(i) + 2*n(i). Factor y(g).
-2*g*(g - 3)*(g + 1)**3
Let q(m) be the first derivative of -3 + 0*m + 0*m**4 + m**3 - 1/300*m**5 + 0*m**2 - 1/900*m**6. Let o(v) be the third derivative of q(v). Solve o(p) = 0 for p.
-1, 0
Let n(c) be the first derivative of -5*c**6/12 - 3*c**5/2 + 10*c**3/3 - 13. What is b in n(b) = 0?
-2, 0, 1
Find u such that -4/5 + 8/5*u**3 - 8/5*u - u**4 + 9/5*u**2 = 0.
-1, -2/5, 1, 2
Let g be -1*(10 - 72/6). Factor -4/5 + g*m + 2/5*m**3 - 8/5*m**2.
2*(m - 2)*(m - 1)**2/5
Let g(q) = 3*q + 14. Let r be g(-8). Let n = 51/5 + r. What is f in -1/5*f**3 - 1/5 + n*f + 1/5*f**2 = 0?
-1, 1
Suppose 5 = 2*l - 1. Let s be (-1)/4 + 372/16. Factor -c**4 - s*c**4 + 14*c**5 + 6*c**3 + l*c**2 + c**2.
2*c**2*(c - 1)**2*(7*c + 2)
Let v(j) be the first derivative of -j**7/420 + j**5/60 - j**3/3 - 1. Let t(p) be the third derivative of v(p). Suppose t(h) = 0. What is h?
-1, 0, 1
Determine w so that 4*w - 16/5 - 4/5*w**2 = 0.
1, 4
Factor -2*c + 1/4 + 4*c**2.
(4*c - 1)**2/4
Suppose -m + 2*m = -4*t + 19, 0 = t + 5*m - 19. Determine x so that -6*x**4 + t*x**2 + 4 + 2*x**3 - 5 + 3*x**4 - 2*x**5 = 0.
-1, 1/2, 1
What is y in 0*y - 1/5*y**3 + 0 - y**2 = 0?
-5, 0
Let i(l) be the first derivative of -l**6/12 + 3*l**5/10 + 5*l**4/8 - l**3/2 - l**2 + 5. What is x in i(x) = 0?
-1, 0, 1, 4
Suppose -2*w - 165 = -5*w. Let u be 2*2 - w/15. Let -2/3 + u*i**2 + 1/3*i = 0. Calculate i.
-2, 1
Let i(l) be the third derivative of l**5/20 + 3*l**4/8 + l**3 - l**2. Determine o, given that i(o) = 0.
-2, -1
Find c, given that 9/2 + 6*c + 3/2*c**2 = 0.
-3, -1
Let r(y) be the first derivative of y**6/4 + 3*y**5/5 - y**3 - 3*y**2/4 - 5. Determine a, given that r(a) = 0.
-1, 0, 1
Let i be ((-4)/60)/(-4*(-3)/(-30)). Factor 1/3*n + 0 + 1/6*n**4 - i*n**2 - 1/3*n**3.
n*(n - 2)*(n - 1)*(n + 1)/6
Let 65/2*f**3 - 15/2*f + 5*f**5 - 5 + 45/2*f**4 + 25/2*f**2 = 0. What is f?
-2, -1, 1/2
Let f(z) = -z**3 + 3*z**2 - 4*z + 15. Let q be f(3). Let o = 19/2 - 9. Factor 1/4*m**2 + 0*m + 0 + 1/4*m**4 + o*m**q.
m**2*(m + 1)**2/4
Let n(x) be the third derivative of x**6/72 + x**5/45 - x**4/72 + x**2. Factor n(i).
i*(i + 1)*(5*i - 1)/3
Let w(l) = l**3 - 8*l**2 + l - 6. Let s = 21 - 13. Let g be w(s). Factor 1/3*n**g + 1/3*n - 5/3*n**4 + 0 - n**3 - 2/3*n**5.
-n*(n + 1)**3*(2*n - 1)/3
Suppose -2*y = 8*t - 5*t - 4, 4*y = -t + 8. Let g be 1 + (-4)/3 + 1. What is p in 0*p - g + 2/3*p**y = 0?
-1, 1
Let z(s) be the third derivative of -s**8/112 + s**7/70 + 3*s**6/40 - s**5/20 - s**4/4 + 8*s**2. What is w in z(w) = 0?
-1, 0, 1, 2
Let u(p) = -p**2 + 6*p - 6. Let g be u(4). Factor -a + 2*a**2 - a**g - 2*a**2.
-a*(a + 1)
Let p(f) be the second derivative of 1/10*f**2 - 1/150*f**6 - 3*f + 1/50*f**5 + 0*f**4 + 0 - 1/15*f**3. Solve p(y) = 0.
-1, 1
Let c(x) be the first derivative of -2*x**3/3 - 9*x**2 + 20*x + 22. Factor c(n).
-2*(n - 1)*(n + 10)
Let x be (-8)/2*4*(-5)/40. Suppose -4/7 + 2*q**x + 10/7*q = 0. Calculate q.
-1, 2/7
Let i(y) = y**2 + 4 - 2*y + 10*y - 3*y. Let o be i(-4). Factor -8/3*c**2 + o*c + 2/9 - 32/9*c**3.
-2*(2*c + 1)**2*(4*c - 1)/9
Solve -k + 0*k**2 + 1/2*k**4 - 1/2 + k**3 = 0.
-1, 1
Suppose 5*g = g + 12. Let j(v) be the first derivative of 3 - 3/5*v**5 - 1/3*v**g + 0*v**2 - 1/6*v**6 + 0*v - 3/4*v**4. Solve j(l) = 0.
-1, 0
Let i = 17 - 10. Let c = -2 + i. Suppose -4*q - c + 6 - q**2 - 5 = 0. Calculate q.
-2
Factor 1/4*h**3 - 1/4*h - 1/2 + 1/2*h**2.
(h - 1)*(h + 1)*(h + 2)/4
Let i be (-7)/(-4) + (2 - 56/32). Let -13/4*w**3 - 19/4*w**i + 13/4*w + 21/4*w**4 - 1/2 = 0. Calculate w.
-1, 2/7, 1/3, 1
Let z be 7/(1 + 52/(-34)). Let y = -13 - z. Let 0 + y*j**3 - 2/9*j + 0*j**2 = 0. What is j?
-1, 0, 1
Let s = -35/39 - -29/13. Let 10/3*c**2 + 0 - 4/3*c**3 - s*c = 0. Calculate c.
0, 1/2, 2
Let b(t) be the first derivative of -3*t**5/5 + t**3 - 32. Factor b(i).
-3*i**2*(i - 1)*(i + 1)
Let 0*h + 0 + 2/13*h**3 - 2/13*h**2 - 2/13*h**5 + 2/13*h**4 = 0. Calculate h.
-1, 0, 1
Find g, given that -3*g**3 - 9 + 7 + 9*g - 4 = 0.
-2, 1
Let v = -11/84 - -8/21. Let h be 1*18/8 - (2 + 0). Find d such that 1/2*d**2 - h*d - v*d**3 + 0 = 0.
0, 1
Let y be 2 - (-2)/(-1) - -2. Suppose -2*t**3 - t**y + 6 - t**2 - 4 + 2*t + 0 = 0. What is t?
-1, 1
Let j = 24 + -47/2. Solve -1/2*o**2 + 0 + 1/2*o**4 + j*o**3 - 1/2*o = 0 for o.
-1, 0, 1
Let s(j) be the second derivative of 2*j + 0*j**3 - j**2 - 1/24*j**4 + 1/120*j**5 + 1/240*j**6 + 0. Let o(v) be the first derivative of s(v). Factor o(g).
g*(g - 1)*(g + 2)/2
Let m(d) = -5*d**4 + 8*d**2 - 3. Let j(h) = -6*h**4 + 9*h**2 - 3. Let v(k) = -2*j(k) + 3*m(k). Factor v(o).
-3*(o - 1)**2*(o + 1)**2
Let i(l) = l**4 + 4*l**3 - l**2 - 2*l - 2. Let g(d) = -2*d**4 - 5*d**3 + d**2 + 3*d + 3. Let v(j) = -2*g(j) - 3*i(j). Factor v(b).
b**2*(b - 1)**2
Suppose 29*t = 33*t. Solve -2/11 + t*q - 2/11*q**4 + 4/11*q**2 + 0*q**3 = 0 for q.
-1, 1
Find s, given that -17/4*s - 3/2 - 5/4*s**2 = 0.
-3, -2/5
Suppose -2 = -4*g + 10. Find q, given that -6*q**2 - 5*q**2 - 4*q**g + 2*q**3 + 3*q**2 - 8*q = 0.
-2, 0
Let d(s) = -s**3 + 10*s**2 + 11*s + 8. Let r be d(11). Suppose -r*f - 5 + 21 = 0. Factor 0 + 2/7*z**f + 4/7*z.
2*z*(z + 2)/7
Let j(s) be the second derivative of -4*s**7/357 + s**6/85 + 5*s**5/34 - 5*s**4/51 - 12*s**3/17 - 8*s**2/17 - 13*