v**2 + 9*v - 8. Let a(d) = -d**3 - 11*d**2 + 2*d + 12. Let l be a(-11). Let c be t(l). Factor 2*p + c*p**4 + p - 6*p**2 - 3*p**5 + 4*p**4.
-3*p*(p - 1)**3*(p + 1)
Let c(z) = -z**2 - z + 1 - 3 + 3. Suppose 2*h - 4 = 4*x, -3*x - 17 = -0*x - 5*h. Let n(r) = -4*r**2 + 12*r + 2. Let q(u) = x*n(u) + 2*c(u). Solve q(a) = 0.
-1/3, 2
Let t(z) be the first derivative of 0*z**5 - 1/3*z**2 + 1/3*z**4 + 0*z - 1/9*z**6 + 0*z**3 - 6. Let t(y) = 0. What is y?
-1, 0, 1
Let u be (7 + (-1 - 8))*(-2 + 1). Suppose -5/9*o + 1/9 + 4/9*o**u = 0. Calculate o.
1/4, 1
Let t(v) be the first derivative of 2/5*v**5 + 1/6*v**6 + 0*v**2 + 0*v + 3 + 1/4*v**4 + 0*v**3. Find o such that t(o) = 0.
-1, 0
Let j(t) = -11*t**5 - 11*t**4 + 6*t**3 - 6*t + 6. Let o(q) = -10*q**5 - 10*q**4 + 5*q**3 - 5*q + 5. Let p(i) = -5*j(i) + 6*o(i). Factor p(s).
-5*s**4*(s + 1)
Let h(s) be the first derivative of s**5/20 + s**4/12 - s + 2. Let w(x) be the first derivative of h(x). Factor w(o).
o**2*(o + 1)
Let n(o) be the second derivative of o**4/72 + o**3/36 - 8*o. Factor n(p).
p*(p + 1)/6
Let l(m) be the first derivative of -2 + 2/15*m**3 + 8/5*m - 4/5*m**2. Let l(r) = 0. Calculate r.
2
Let p = 11 + -3. Let x(o) = -3*o**2 - 14*o. Let y(l) = 2*l**2 + 9*l. Let s(w) = p*y(w) + 5*x(w). Factor s(v).
v*(v + 2)
Suppose -4*r = 1 - 9. Let f = r + 0. Factor -2/5 - 8/5*w - 6/5*w**f.
-2*(w + 1)*(3*w + 1)/5
What is m in 0 - 32/9*m - 196/9*m**5 - 248/3*m**3 - 700/9*m**4 - 272/9*m**2 = 0?
-2, -1, -2/7, 0
Let g(q) be the third derivative of 1/840*q**7 + 0*q**5 + 0*q**3 + 0 + 0*q + 1/480*q**6 + 4*q**2 + 0*q**4. What is p in g(p) = 0?
-1, 0
Let z = -31 + 1117/36. Let b(i) be the second derivative of 0 - z*i**4 - 1/6*i**2 - 1/9*i**3 - 2*i. Suppose b(m) = 0. Calculate m.
-1
Let q(w) be the third derivative of w**6/40 - w**5/4 - 7*w**2. Solve q(i) = 0.
0, 5
Let c be ((-24)/(-30))/((-9)/15 + 1). Factor -3/5*r**c - 1/5*r + 0 - 1/5*r**4 - 3/5*r**3.
-r*(r + 1)**3/5
Let k(n) = 2*n**3 - 20*n**2 - 18*n + 5. Let v(t) = -9*t**3 + 81*t**2 + 72*t - 21. Let m(r) = 21*k(r) + 5*v(r). Let m(h) = 0. What is h?
-3, -2, 0
Determine y, given that 2/11*y**3 - 2/11*y + 2/11*y**2 - 2/11 = 0.
-1, 1
Find o such that o**3 + 16*o**4 + 2*o**3 + 9*o**3 - 16*o**2 + 4*o**5 - 16*o = 0.
-2, -1, 0, 1
Let n(o) = -o**3 + o**2 + o + 1. Let v(l) = 10*l**3 - 11*l**2 - 9*l - 9. Let g(r) = -18*n(r) - 2*v(r). Determine w, given that g(w) = 0.
0, 2
Factor 8*z**3 - 18*z**3 + 13*z**3.
3*z**3
Let h = 5 + -2. Let p = 136 + -131. Determine u so that u**h + 1/4*u - 1/2 - 5/4*u**p + 5/2*u**2 - 2*u**4 = 0.
-1, 2/5, 1
Let a(o) = -3*o**3 + 2*o**2 - 7*o - 4. Let l(q) = 0*q**2 - 3 - 5*q**3 + 2*q**3 + 3*q**2 - 6*q. Let d(v) = -3*a(v) + 4*l(v). Let d(w) = 0. What is w?
0, 1
Suppose 25 = -5*w, 5*w = -3*o + w - 14. Factor -2/3*h**5 - 4/3*h**o - 2/3 - 4/3*h**3 + 2*h + 2*h**4.
-2*(h - 1)**4*(h + 1)/3
Let p(v) be the third derivative of -v**10/1120 + v**9/420 - v**8/560 + v**4/24 + 6*v**2. Let u(k) be the second derivative of p(k). Factor u(j).
-3*j**3*(3*j - 2)**2
Let u(n) = 7*n**5 - 9*n**3 + 5*n**2 + 7*n - 5. Let k(h) = -3*h**5 + 4*h**3 - 2*h**2 - 3*h + 2. Let g(w) = 5*k(w) + 2*u(w). Factor g(m).
-m*(m - 1)**2*(m + 1)**2
Let p(u) = u**2 - 6*u. Let a(n) = n. Let c(f) = 20*a(f) + 5*p(f). Suppose c(z) = 0. Calculate z.
0, 2
Let r = 11 - 7. What is g in -r*g**2 + 0*g**3 + 6 - 2 - 2*g + g**3 + g**3 = 0?
-1, 1, 2
Let n(y) be the third derivative of y**5/150 - y**4/20 + 2*y**3/15 + 3*y**2. Find v, given that n(v) = 0.
1, 2
Let s be (-2)/((-4)/(-1))*-6. Suppose -5*v + s = -7. Factor -4/7*m**v + 2/7*m**3 + 0 + 2/7*m.
2*m*(m - 1)**2/7
Suppose -13 = a - 3*o, -a - 5*o + 16 + 11 = 0. Let x be 3*2/(-3)*-1. Factor -2*m - m - m**x + 0*m**a + 2*m.
-m*(m + 1)
Let m(x) be the second derivative of x**7/70 + x**6/50 - 9*x**5/50 - 7*x**4/10 - 11*x**3/10 - 9*x**2/10 + 11*x. Find h such that m(h) = 0.
-1, 3
Let i(u) = u + 6. Let a be i(-4). What is j in 2 - 8 + 27*j**a - 30*j + 9*j = 0?
-2/9, 1
Let l(n) be the third derivative of 0*n**4 + 2*n**2 + 0*n**5 + 0*n**3 + 1/270*n**6 + 1/216*n**8 + 0*n + 1/105*n**7 + 0. Let l(u) = 0. Calculate u.
-1, -2/7, 0
Factor -3/5*s + 1/5*s**3 + 0*s**2 - 2/5.
(s - 2)*(s + 1)**2/5
Find d such that -2/9*d**2 - 32/9 + 16/9*d = 0.
4
Let n(d) be the first derivative of 2*d**3/3 + 2*d**2 - 4. Determine f so that n(f) = 0.
-2, 0
Let c(s) be the first derivative of 1/4*s**2 + 1/12*s**3 - 4 + 1/4*s. Suppose c(f) = 0. Calculate f.
-1
Let t(s) be the first derivative of -7/2*s**4 + 5 - 20/3*s**3 + 28*s**2 - 16*s + 6/5*s**5. Factor t(g).
2*(g - 2)**2*(g + 2)*(3*g - 1)
Let x(r) be the second derivative of 1/66*r**4 + 0 - 2*r - 1/33*r**3 - 1/11*r**2 + 1/110*r**5. Determine l so that x(l) = 0.
-1, 1
Suppose i = -2*i + 60. Factor 10*l**4 + i*l**3 + 2 + 2*l**5 + 2 - 2 + 10*l + 20*l**2.
2*(l + 1)**5
Let u(d) be the third derivative of 25*d**8/448 + d**7/56 - 41*d**6/160 - d**5/80 + d**4/2 - d**3/2 - d**2. Solve u(p) = 0 for p.
-1, 2/5, 1
Let j(f) = -3*f**4 - 7*f**3 + 13*f**2 + 3*f - 12. Let r(u) = -5*u**4 - 15*u**3 + 25*u**2 + 5*u - 25. Let x(q) = -5*j(q) + 2*r(q). Factor x(g).
5*(g - 1)**2*(g + 1)*(g + 2)
Let i(d) be the second derivative of -d**7/21 - 2*d**6/5 - 13*d**5/10 - 2*d**4 - 4*d**3/3 - 5*d. Let i(o) = 0. What is o?
-2, -1, 0
Let n(q) be the third derivative of -q**7/14 + 3*q**6/40 + 3*q**5/5 + q**4/2 - 8*q**2. Factor n(m).
-3*m*(m - 2)*(m + 1)*(5*m + 2)
Let u(i) be the first derivative of -i**6/10 + 6*i**5/25 - 2*i**3/5 + 3*i**2/10 + 1. Factor u(z).
-3*z*(z - 1)**3*(z + 1)/5
Let n(c) be the second derivative of 2*c**5/45 - 5*c**4/18 + 8*c**3/27 + c**2/3 - 22*c. Suppose n(m) = 0. What is m?
-1/4, 1, 3
Let j = 52 - 52. Let g(y) be the second derivative of 0 + 1/45*y**6 + j*y**3 - 1/63*y**7 - 3*y + 1/30*y**5 + 0*y**2 - 1/18*y**4. Find z such that g(z) = 0.
-1, 0, 1
Let m(d) be the first derivative of -4/27*d**3 + 1/9*d**2 + 1/18*d**4 - 1 + 0*d. Factor m(f).
2*f*(f - 1)**2/9
Let u(t) be the second derivative of -t**7/147 - 2*t**6/105 + t**5/70 + t**4/21 + 2*t. What is f in u(f) = 0?
-2, -1, 0, 1
Let q(r) = -12*r**3 + 22*r**2 - 2*r - 50. Let l(y) = 4*y**3 - 7*y**2 + y + 17. Let h(c) = 14*l(c) + 5*q(c). Factor h(w).
-4*(w - 3)*(w - 1)*(w + 1)
Let g(w) be the first derivative of 1/12*w**3 - 1/2*w + 1/8*w**2 - 1. Suppose g(m) = 0. What is m?
-2, 1
Let p(t) = 0 + 0 + 2 + 2 - t**2 - 6*t. Let l(z) = -2*z**2 - 11*z + 7. Let j(x) = 4*l(x) - 7*p(x). Factor j(h).
-h*(h + 2)
Factor 12/11*a**2 + 14/11*a - 2/11*a**3 + 0.
-2*a*(a - 7)*(a + 1)/11
Let b be 45/(-2)*22/(-20). Let j = b + -487/20. Factor 0 - 2/5*u**2 + 2/5*u**4 + j*u - 2/5*u**3.
2*u*(u - 1)**2*(u + 1)/5
Let m = -1 - -1. Let l = 3 - m. Suppose -5*q - 1 + q**l + 2*q - 3*q**2 + 6*q = 0. What is q?
1
Suppose 0 = 5*j - 9*j. Let a(f) be the first derivative of j*f - 1/2*f**2 - 1/4*f**4 + 3/5*f**5 + 1 + 1/3*f**6 - f**3. Factor a(c).
c*(c - 1)*(c + 1)**2*(2*c + 1)
Let s(o) be the second derivative of -o**6/6 - 11*o**5/16 - 25*o**4/48 + 5*o**3/12 + 9*o. Solve s(g) = 0 for g.
-2, -1, 0, 1/4
Let u(y) = -y**3 + 6*y**2 + y - 6. Suppose -4*p = -0*p - 24. Let m be u(p). Suppose m - d - 3/2*d**2 - 5/2*d**5 + 3/2*d**4 + 7/2*d**3 = 0. What is d?
-1, -2/5, 0, 1
Let p(b) be the third derivative of b**7/8820 - b**4/12 + 3*b**2. Let i(s) be the second derivative of p(s). Factor i(u).
2*u**2/7
Let u(x) be the third derivative of x**5/300 - x**3/30 - 2*x**2. Solve u(y) = 0.
-1, 1
Suppose 65 + 99 = 4*n. Let u = 125/3 - n. Determine a so that u*a + 2*a**3 + 0 - 2/3*a**4 - 2*a**2 = 0.
0, 1
Find y such that 2/7 - 5/7*y - 2/7*y**2 + 5/7*y**3 = 0.
-1, 2/5, 1
Let r(o) be the first derivative of -1/300*o**6 + 2 + 0*o - 1/75*o**5 + 0*o**3 - o**2 - 1/60*o**4. Let t(s) be the second derivative of r(s). Solve t(b) = 0.
-1, 0
Let d be 28/(-42) + 14/15. Let y(h) be the second derivative of d*h**6 + 1/6*h**4 + 0*h**2 + 0*h**3 + h - 7/20*h**5 - 1/14*h**7 + 0. Factor y(j).
-j**2*(j - 1)**2*(3*j - 2)
Let l(u) = -5*u - 5. Let g be l(-2). Suppose 408*a**2 + 1039*a**4 + 933*a**3 + 198*a**4 + 336*a**g - 301*a**4 + 81*a + 6 = 0. What is a?
-1, -2/7, -1/4
Let l = -30 - -181/6. Factor -l*s**2 + s - 3/2.
-(s - 3)**2/6
Let i(c) be the second derivative of 1/42*c**4 - 1/21*c**3 + 0 + 0*c**2 + 7*c. Factor i(t).
2*t*(t - 1)/7
Let c(s) = -3*s**4 + s**3 + s**2 - s - 2. Let f(q) =