 of 1/12*y**4 + 4*y + 0 + o*y**3 + 1/2*y**2. Factor x(g).
(g + 2)*(2*g + 1)/2
Let m(w) be the third derivative of 0*w + 0 + 1/120*w**5 + 0*w**4 + 1/96*w**6 + 0*w**3 - 6*w**2. Factor m(q).
q**2*(5*q + 2)/4
Let i(h) be the first derivative of 1/10*h**5 + 1/6*h**4 + 3 - 2/3*h**3 + 0*h**2 + 2*h. Let j(f) be the first derivative of i(f). Factor j(r).
2*r*(r - 1)*(r + 2)
Let h be (-126)/(-27)*(-6)/(-7). Let l(n) be the first derivative of -2/3*n**2 + 0*n + 1/4*n**h - 1/15*n**5 + 0*n**3 + 2. Determine w so that l(w) = 0.
-1, 0, 2
Let k = 25 + -16. Let d be (k*1/6)/1. Solve d*b**2 + b + 1/4*b**4 + 1/4 + b**3 = 0 for b.
-1
Let o = -744 + 744. Find h such that -1/5*h**3 - 4/5*h + o - 4/5*h**2 = 0.
-2, 0
Let n(k) be the first derivative of -2*k**5/5 - 11*k**4/4 - 16*k**3/3 - k**2/2 + 6*k + 19. Determine m so that n(m) = 0.
-3, -2, -1, 1/2
Factor -3/2 - 3/4*c + 3/4*c**2.
3*(c - 2)*(c + 1)/4
Let z(s) be the third derivative of 1/210*s**7 - 1/60*s**5 - 1/24*s**4 + 1/120*s**6 + 0*s**3 + 0 + 5*s**2 + 0*s. Find p, given that z(p) = 0.
-1, 0, 1
Suppose 10 = 3*f + 2*f. Suppose -f*d - d = -6. Factor 1 + r**4 - r**d - 1.
r**2*(r - 1)*(r + 1)
Let t be (2/(-3))/(2/(-9)). Suppose -t*z + 2 = p, 5*z - 4 - 6 = -5*p. Factor 2/9*g**p + 2/9*g**3 - 2/9 - 2/9*g.
2*(g - 1)*(g + 1)**2/9
Let v(w) be the first derivative of -4*w**3/21 - 9*w**2/14 - 2*w/7 + 15. Determine x so that v(x) = 0.
-2, -1/4
Let i(p) be the third derivative of -p**5/105 + 8*p**3/21 + 23*p**2. Suppose i(n) = 0. What is n?
-2, 2
Let t(d) be the second derivative of -4*d**5/25 + 7*d**4/15 - 4*d**3/15 - 2*d**2/5 + 8*d. Factor t(h).
-4*(h - 1)**2*(4*h + 1)/5
Let s = -14 - -16. Let t = 8 + -5. Factor 0*p**t - p**3 - 3*p - 2*p**s + 2*p.
-p*(p + 1)**2
What is o in 6/5*o + 2*o**2 + 2/15 - 10/3*o**3 = 0?
-1/5, 1
Let -5/3*w - 35/6*w**2 - 5/6*w**5 + 0 - 15/2*w**3 - 25/6*w**4 = 0. Calculate w.
-2, -1, 0
Factor 5*z**2 + 4*z**2 + 5*z**3 - 21*z**2 + 7*z**2 - 10*z.
5*z*(z - 2)*(z + 1)
Let m(d) = 2*d**4 + 3*d**3 + d**2 - 3*d. Let y(x) = -x**4 - x**2 + x. Let p(g) = 4*m(g) + 12*y(g). Suppose p(w) = 0. Calculate w.
0, 1, 2
Suppose -11*r = 5 - 38. Factor -2/9 - 2/3*b**4 - 8/3*b**2 + 4/3*b + 20/9*b**r.
-2*(b - 1)**3*(3*b - 1)/9
Factor 0 - 1/8*a**3 - 1/8*a - 1/4*a**2.
-a*(a + 1)**2/8
Find n, given that -27 + 6*n - 1/3*n**2 = 0.
9
Let v(c) be the second derivative of c**4/20 + 2*c**3/5 + 6*c**2/5 - 8*c. Determine j, given that v(j) = 0.
-2
Let o(b) = 7*b**3 - 2*b**2 + 2*b - 1. Suppose -4 = 5*u - 9. Let z be o(u). Solve 15*r + r**2 - 5*r**2 - z - 2*r**2 = 0 for r.
1/2, 2
Suppose c + 0 = 2. Let x(n) be the first derivative of 0*n + 1/6*n**4 + 0*n**c - 2/9*n**3 + 2. Suppose x(o) = 0. What is o?
0, 1
Suppose -42*m + 2 = -41*m. Factor 16/9*v - 2*v**3 - 8/9 + 2/3*v**m.
-2*(v + 1)*(3*v - 2)**2/9
Let r(u) be the third derivative of u**7/1008 + 7*u**6/1440 + u**5/120 + u**4/12 - 3*u**2. Let d(s) be the second derivative of r(s). Factor d(i).
(i + 1)*(5*i + 2)/2
Let s(i) = -2*i**3 - 4*i**2 + 3*i. Let g(r) = 3*r**3 + 8*r**2 - 5*r. Let x(n) = -3*g(n) - 5*s(n). Suppose x(a) = 0. What is a?
0, 4
Let g = -14/5 - -3. Let i(r) be the second derivative of -1/10*r**4 - g*r**2 - 1/50*r**5 - r + 0 - 1/5*r**3. Find a, given that i(a) = 0.
-1
Let z(y) be the second derivative of y**5/60 + y**4/18 + y**3/18 - 4*y. Find a, given that z(a) = 0.
-1, 0
Let b = 120 + -239/2. Suppose 0 + v**3 + 0*v + b*v**4 + 1/2*v**2 = 0. What is v?
-1, 0
Factor 2/7*s - 4/7 + 10/7*s**4 - 26/7*s**3 + 18/7*s**2.
2*(s - 1)**3*(5*s + 2)/7
Factor 0*h - 2/3*h**2 + 2/3.
-2*(h - 1)*(h + 1)/3
Let p(d) = 53*d**4 - 115*d**3 + 94*d**2 - 25*d + 8. Let r(i) = 54*i**4 - 114*i**3 + 93*i**2 - 24*i + 9. Let f(t) = -6*p(t) + 5*r(t). What is j in f(j) = 0?
1/4, 1
Let p(a) be the second derivative of a**5/10 + a**4/2 + 2*a**3/3 - 5*a. What is y in p(y) = 0?
-2, -1, 0
Let b(i) be the second derivative of i**7/280 - 3*i**6/80 + 3*i**5/20 - i**4/4 - 7*i**2/2 - i. Let u(r) be the first derivative of b(r). Factor u(l).
3*l*(l - 2)**3/4
Factor -9/4*n**2 + 3/4*n**4 - 1/2*n**3 + 1 + 0*n.
(n - 2)*(n + 1)**2*(3*n - 2)/4
Let h = -8 - -1. Let t = h - -9. Factor 1/4*n**t + 1/4*n + 0.
n*(n + 1)/4
Let a(f) = 2*f**4 + 2*f**3 - 2*f**2 - 7*f - 5. Suppose -5*h + 4 - 29 = 0. Let y(t) = -t**4 - t**3 + t**2 + 3*t + 2. Let p(d) = h*y(d) - 2*a(d). Solve p(q) = 0.
-1, 0, 1
Suppose -2*v = 10, 3*l - 20 = -0*l + 4*v. Factor 1/2*c**2 + l + 3/4*c**5 - c**4 - 1/4*c**3 + 0*c.
c**2*(c - 1)**2*(3*c + 2)/4
Let k(a) be the first derivative of a**3/9 + 4*a**2/3 + 16*a/3 - 7. Factor k(p).
(p + 4)**2/3
Let r = 2557/7 + -365. Find x such that 0 - 2/7*x**2 - r*x**3 + 0*x = 0.
-1, 0
Suppose n**4 + n**3 - 2*n**2 + 1 - 1/2*n - 1/2*n**5 = 0. Calculate n.
-1, 1, 2
Suppose -c + i = -i + 6, 12 = 3*i. Suppose 0 + 3/4*j**3 + 3/4*j**c + 0*j = 0. What is j?
-1, 0
Let -14/3*c**4 + 10/3*c**2 + 6*c + 4/3 - 6*c**3 = 0. Calculate c.
-1, -2/7, 1
Let d(z) = -z**2 - z - 1. Let l(g) = 7*g**2 - 3*g + 4. Let c(u) = 4*d(u) + l(u). Let v(s) = -15*s**2 + 36*s. Let q(x) = 21*c(x) + 4*v(x). Factor q(f).
3*f*(f - 1)
Let r(t) be the first derivative of -t**5/10 + t**4/6 - t + 3. Let y(i) be the first derivative of r(i). Determine n, given that y(n) = 0.
0, 1
Suppose g + 5 = -2*d + d, d + 4*g - 10 = 0. Let i be (3 - d/(-4))*0. Determine t, given that i - 4/3*t**3 + 2/3*t + 2/3*t**2 = 0.
-1/2, 0, 1
Let m be (-1 + (-1)/(-3))*9. Let n be m/3 + (1 - -4). Solve -1/2*s**2 + 0 + 1/4*s**n + 1/4*s = 0.
0, 1
Let t(x) = -6*x**4 + 4*x**3 + 12*x**2 - 22*x + 6. Let c(d) = 31*d**4 - 20*d**3 - 60*d**2 + 111*d - 29. Let q(f) = -2*c(f) - 11*t(f). Factor q(i).
4*(i - 1)**3*(i + 2)
Let n(q) be the first derivative of q**4/20 + 2*q**3/5 + 6*q**2/5 + 8*q/5 + 33. Factor n(a).
(a + 2)**3/5
Let t(k) = -k + 6. Suppose -27 = -4*l + o, 4*o = 2*l + 2*l - 36. Let y be t(l). Let y*g + 2/11 - 2/11*g**2 = 0. What is g?
-1, 1
Let b = 308/9 + -16025/468. Let n = b - -7/26. Factor n - 1/4*u**2 + 0*u.
-(u - 1)*(u + 1)/4
Let n(h) be the second derivative of h**6/6 + h**5/4 + 8*h. Factor n(p).
5*p**3*(p + 1)
Factor 1/2*i**2 + 2/3*i - 2/3 - 1/3*i**3 - 1/6*i**4.
-(i - 1)**2*(i + 2)**2/6
Let i = -317176/105 + 3020. Let d = -2/35 - i. Factor 4/3*z - d*z**2 - 2/3.
-2*(z - 1)**2/3
Let h(g) = -g**2 + 15*g + 5. Let d be h(15). Factor -2*j**5 - d*j**4 - 16*j + 19*j**4 + 0*j**5 - 24*j**3 + 40*j**2 - 12*j**3.
-2*j*(j - 2)**3*(j - 1)
Let x be 3/9*6*1. Let b(t) be the second derivative of 1/5*t**3 + 3*t - 1/5*t**x + 0 + 2/15*t**4. Factor b(y).
2*(y + 1)*(4*y - 1)/5
Let c(w) = -w**2 - 7*w + 21. Let b be c(-9). Let z(r) be the first derivative of 1/14*r**4 + 2/7*r**b + 2/7*r**2 - 3 + 0*r. Let z(g) = 0. What is g?
-2, -1, 0
Suppose -5*z = -34 + 9. Let c(u) be the second derivative of 0*u**3 + 0*u**2 + 3/20*u**z + 0 + 4*u - 1/4*u**4. Factor c(k).
3*k**2*(k - 1)
Suppose -2*i - 74 = 3*u - 5*u, 0 = 5*u - i - 205. Let 2*x + u*x**2 - 42*x**2 - 2*x**3 = 0. Calculate x.
-1, 0, 1
Let a(f) be the first derivative of 0*f**2 - 1/12*f**4 + f - 1 + 0*f**3. Let k(r) be the first derivative of a(r). Determine l so that k(l) = 0.
0
Let q be (-7)/(-6) + (-2)/3. Determine u, given that 3/2*u**2 + q - 2*u = 0.
1/3, 1
Factor -3*r + r + r + 46*r**2 - 47*r**2.
-r*(r + 1)
Let 17*j + 2*j**3 + 7*j - 9*j**2 - 9 - 3*j**2 - 7 = 0. What is j?
2
Let m(q) = q**4 + q**3 + q**2 + q. Let d(h) = -4*h**5 + 8*h**4 + 16*h**3 + 16*h**2 + 12*h. Let g(y) = d(y) - 12*m(y). Factor g(s).
-4*s**2*(s - 1)*(s + 1)**2
Let o(u) be the third derivative of -u**7/420 + u**6/240 - u**2. Solve o(x) = 0.
0, 1
Let f(g) be the first derivative of -g**4 + 16*g**3/3 - 10*g**2 + 8*g - 13. Suppose f(u) = 0. What is u?
1, 2
Let a be (1 - 1)/(-2) + 2. Let g = -2 + 4. Determine o, given that -o**3 + 19*o**2 - g*o - 4 - 9*o**3 - 3*o**a = 0.
-2/5, 1
Let s(t) = -3*t**5 + 3*t**4 - 15*t**3 + 3*t**2 + 6. Let y(r) = -3*r**5 + 4*r**4 - 14*r**3 + 3*r**2 + 5. Let p(l) = 5*s(l) - 6*y(l). Factor p(x).
3*x**2*(x - 1)**3
Let a(s) be the third derivative of -s**7/1470 - s**6/56 - s**5/30 - 16*s**2 - 3. Factor a(j).
-j**2*(j + 1)*(j + 14)/7
Let u(p) be the first derivative of p**7/28 - 3*p**5/20 + p**3/4 + 3*p - 1. Let t(l) be the first derivative of u(l). Suppose t(z) = 0. Calculate z.
-1, 0, 1
Let s(o) = o**2 - 8*o + 4. Let z be s(8). What is i in 7*i**4 + 6*i**3 - 5*i**z - 9*i**5 - 5*i**4 