4*s**2 + 20 - 9*s**3 - o - 57 - 216*s = 0.
-3/2
Let a(k) = 5*k**5 + 3*k**4 - k**3 + 3*k**2 + 8*k + 6. Let o(h) = -4*h**5 - 3*h**4 + h**3 - 2*h**2 - 7*h - 5. Let j(s) = 5*a(s) + 6*o(s). Factor j(y).
y*(y - 2)*(y - 1)**2*(y + 1)
Let g(d) = -11*d**2 + d. Let n be g(-1). Let y be -3*(n/9)/1. Determine a so that -2/5*a**2 + 0 + 2/5*a**y - 2/5*a**3 + 2/5*a**5 + 0*a = 0.
-1, 0, 1
Let q = -4 - -13. Let -q*v**3 - v**5 + 7*v**2 - 2*v + 14*v**4 - 9*v**4 + 0*v**5 + 0*v**5 = 0. What is v?
0, 1, 2
Let o be (4 + -5)/(2/(-4)). Factor 0*g**3 + 2 - g**4 - o + g**3.
-g**3*(g - 1)
Factor -2/3*b**2 - 2/3*b**3 + 2/3*b + 2/3.
-2*(b - 1)*(b + 1)**2/3
Let j = 2958 - 26536/9. Let k = -28/3 + j. Let 0 + k*c**2 + 2/9*c = 0. What is c?
-1, 0
Suppose 1 - 1 = 2*v. Let z(j) be the third derivative of 0 + 0*j**4 + 0*j**3 + v*j + 3*j**2 - 1/60*j**6 + 1/30*j**5. Suppose z(s) = 0. What is s?
0, 1
Suppose -4*f = -g - 16, 3*f = 2*g + 1 + 6. Let k be (0 + -3)*f/(-30). Factor k + 1/4*w**2 + 3/4*w.
(w + 1)*(w + 2)/4
Factor 2*i**3 - 2*i**2 + 0*i + 0*i**2 + 0*i.
2*i**2*(i - 1)
Let a be 0 + 5 - (138/15 + -5). Determine p, given that 0 + a*p**2 + 0*p**3 + 2/5*p - 4/5*p**4 - 2/5*p**5 = 0.
-1, 0, 1
Let g be ((-2)/(-2))/((-8)/(-16)). Solve 1/4*k**3 + 1/4 - 1/4*k**g - 1/4*k = 0.
-1, 1
Factor -1/6*j**4 + 1/3*j + 0 + 2/3*j**3 - 5/6*j**2.
-j*(j - 2)*(j - 1)**2/6
Let h(z) be the second derivative of -z**5/30 - z**4/6 + 4*z**3/9 - 9*z. What is a in h(a) = 0?
-4, 0, 1
Factor -2*l**3 - l**3 - 6 - l**3 - 16*l + 8*l**3 - 6*l**2.
2*(l - 3)*(l + 1)*(2*l + 1)
Let x(p) be the third derivative of 2*p**7/105 - p**6/15 + p**5/15 - 12*p**2. Solve x(i) = 0 for i.
0, 1
Factor -1/6*s**2 + 1/3 + 1/6*s.
-(s - 2)*(s + 1)/6
Suppose 0 = -5*o - 10, -6*w + o = -3*w - 14. Let j be (1 + -1)/(-6 + w). Find z, given that 1/2*z**5 + 0*z**4 + j*z - 1/2*z**3 + 0 + 0*z**2 = 0.
-1, 0, 1
Factor 15*h + 3*h**3 + 268 - 12*h**2 - 139 + 0*h**3 - 135.
3*(h - 2)*(h - 1)**2
Let n(c) = 15*c**3 - 6*c**2 + 32*c**2 + 2 - 15*c - 17. Let f(b) = 0*b**2 + 5*b**2 + 3*b**3 - 3*b + 15 - 18. Let u(g) = 11*f(g) - 2*n(g). Factor u(m).
3*(m - 1)*(m + 1)**2
Let w(q) be the second derivative of q**6/600 - q**5/75 + q**4/30 - 7*q**2/2 + 4*q. Let j(i) be the first derivative of w(i). Solve j(d) = 0.
0, 2
Suppose q - 25 = -4*q. Suppose q*v - 43 = 7. Let 0 - v*u + 6 - 14*u**2 - 2 = 0. Calculate u.
-1, 2/7
Let m be -3*(-12)/(-9) + (-22)/(-5). Let d(u) be the first derivative of 3 - 2/5*u - m*u**3 + 3/5*u**2 + 1/10*u**4. Factor d(t).
2*(t - 1)**3/5
Let c = 2 + -4. Let f be c/(-5) - 8/(-5). Factor 3*b**3 - f*b**4 + 5 - 5 - b**2.
-b**2*(b - 1)*(2*b - 1)
Let c = -7/4 - -2. Find r such that c*r**4 - 1/4*r**2 + 1/4*r**3 - 1/4*r + 0 = 0.
-1, 0, 1
Let u be 3*((-64)/(-15))/8. Let t(d) be the second derivative of 2*d - u*d**2 + 1/50*d**5 + 0 + 1/105*d**7 - 4/75*d**6 + 1/3*d**4 - 4/15*d**3. Factor t(b).
2*(b - 2)**3*(b + 1)**2/5
Let z(c) be the first derivative of -c**3/3 - 7*c**2 - 49*c - 16. What is i in z(i) = 0?
-7
Let w(f) be the third derivative of f**5/180 + f**4/18 + 2*f**3/9 - 3*f**2. Factor w(p).
(p + 2)**2/3
Suppose 0 = -4*q + 4, 0 = 2*x + 3*q - 0*q - 47. Suppose -18 = 2*l - x. Suppose 2/5*a + 2/5 - 2/5*a**3 - 2/5*a**l = 0. What is a?
-1, 1
Let l(d) = 13 + d**2 + 8 - 7*d - 27. Let t be l(8). Find j, given that -2/3 + 4/3*j + 11/6*j**t - 13/6*j**3 - 7/6*j**4 + 5/6*j**5 = 0.
-1, 2/5, 1, 2
Let c be ((-40)/(-42))/(4/14). Solve c*k**2 + 8/3 - 2/3*k**3 - 16/3*k = 0 for k.
1, 2
Let m be (30/(-18))/(20/(-24)). Factor 2/7*w**m - 4/7*w - 6/7.
2*(w - 3)*(w + 1)/7
Factor -w**2 - 169*w + 169*w.
-w**2
Let g(r) be the first derivative of r**3/5 - 12*r**2 + 240*r + 17. Solve g(f) = 0.
20
Let b(u) be the third derivative of -u**11/1164240 - u**10/264600 - u**9/211680 + 2*u**5/15 + 8*u**2. Let g(z) be the third derivative of b(z). Factor g(y).
-2*y**3*(y + 1)**2/7
Let b(t) be the first derivative of t**6/10 + 9*t**5/20 - 2*t**3 - 4*t - 2. Let x(p) be the first derivative of b(p). Suppose x(r) = 0. What is r?
-2, 0, 1
Suppose 5*v = 22 - 22. Let h(c) be the second derivative of 0*c**2 + 0 - 1/70*c**5 + 3*c + v*c**4 + 1/21*c**3. Factor h(b).
-2*b*(b - 1)*(b + 1)/7
Let g(z) = z**2 - 7*z - 13. Let x be g(9). Factor -3*k**4 + k**x + 4*k**4 - k**2 + 0*k**3 - k**3.
k**2*(k - 1)*(k + 1)**2
Let a(l) be the third derivative of l**8/10080 + l**7/840 + l**6/180 - l**5/20 - 4*l**2. Let r(j) be the third derivative of a(j). Find m such that r(m) = 0.
-2, -1
Let v(r) be the first derivative of 1/20*r**5 + 0*r - 3/16*r**4 + 1/6*r**3 + 0*r**2 - 4. Let v(g) = 0. What is g?
0, 1, 2
Let k(w) = 2*w. Let z be k(1). Suppose -5*y + s = 5, 2*y + y + z*s - 10 = 0. Factor -4*q**3 + 3*q**5 + 2*q + 0*q**5 - q**5 + y*q.
2*q*(q - 1)**2*(q + 1)**2
Let h be -3*-1*20/(-45). Let l = h - -25/12. Solve -3*p**3 + l*p**2 + 7/4*p**4 + 1/2*p + 0 = 0 for p.
-2/7, 0, 1
Suppose 36*q = 33*q. Let t(n) be the third derivative of -1/420*n**7 + 1/48*n**4 + q*n + 3*n**2 - 1/240*n**6 + 0 + 1/120*n**5 + 0*n**3. Factor t(f).
-f*(f - 1)*(f + 1)**2/2
Let g(p) be the third derivative of -p**8/20160 - p**5/60 + 4*p**2. Let i(h) be the third derivative of g(h). Factor i(q).
-q**2
Let y(f) = -11*f - 41. Let t be y(-4). Let -2/11*v**2 + 0 - 2/11*v**4 + 0*v + 4/11*v**t = 0. Calculate v.
0, 1
Factor -2/9*f**2 + 0 + 4/9*f.
-2*f*(f - 2)/9
Let f(h) be the first derivative of 3*h**5/10 - 3*h**4/8 - 3*h**3/2 + 3*h**2/4 + 3*h - 9. Find g such that f(g) = 0.
-1, 1, 2
Let k = 37 - 31. Let f(a) be the second derivative of 0*a**3 - a - 1/6*a**4 + 0 + 1/20*a**5 + 0*a**2 - 1/14*a**7 + 2/15*a**k. Factor f(g).
-g**2*(g - 1)**2*(3*g + 2)
Suppose 56 = 4*f + 24. Let t(g) be the first derivative of -4*g**2 - f*g - 2/3*g**3 + 1. Factor t(s).
-2*(s + 2)**2
Let x(s) be the second derivative of -s**6/120 - s**5/40 - s**4/48 - 5*s. Factor x(o).
-o**2*(o + 1)**2/4
Let p(z) be the first derivative of z**5/5 - z**4/2 + z**3/3 + 5. Solve p(d) = 0.
0, 1
Suppose 2*q = -2*q. Let k(f) be the second derivative of -1/3*f**3 + 0 + 0*f**2 + 1/10*f**5 - f + q*f**4. Factor k(g).
2*g*(g - 1)*(g + 1)
Let t(u) be the first derivative of 8/33*u**3 + 0*u + 1 + 8/55*u**5 - 3/11*u**4 - 1/11*u**2 - 1/33*u**6. Factor t(g).
-2*g*(g - 1)**4/11
Let a be (-12)/(-14)*1197/152. Solve 0 + 3/2*t + 15/4*t**4 + 3/4*t**5 + a*t**3 + 21/4*t**2 = 0 for t.
-2, -1, 0
Let q(o) be the second derivative of -1/30*o**5 - 1/4*o**4 - 1/2*o**2 - 2/3*o**3 - o + 0. Let h(i) be the first derivative of q(i). Solve h(s) = 0.
-2, -1
Let t(r) be the second derivative of 3*r**5/20 + r**4/4 - r**3 - 29*r. Determine m so that t(m) = 0.
-2, 0, 1
Let k(a) = -4*a**2 + a - 3. Let q(c) = -7*c**2 + c - 5. Let z(n) = -n**2 - 8*n - 4. Let d be z(-7). Let p(f) = d*q(f) - 5*k(f). Factor p(r).
-r*(r + 2)
Factor -1/2*h**3 + 0 + 0*h + 1/2*h**2.
-h**2*(h - 1)/2
Let f(r) be the first derivative of -r**9/6048 + r**8/1680 - r**6/360 + r**5/240 + r**3 - 1. Let a(s) be the third derivative of f(s). Factor a(z).
-z*(z - 1)**3*(z + 1)/2
Let h(z) be the first derivative of -4*z**3/3 + 7. Determine x, given that h(x) = 0.
0
Let c(s) be the third derivative of 1/240*s**5 + 0*s + 0 + 1/840*s**7 - 1/32*s**4 + 1/160*s**6 - 3*s**2 - 1/12*s**3. Factor c(n).
(n - 1)*(n + 1)**2*(n + 2)/4
Let v(x) be the second derivative of -11*x**7/14 + 2*x**6 - 21*x**5/20 - x**4/2 + 6*x. Factor v(u).
-3*u**2*(u - 1)**2*(11*u + 2)
Let t(m) be the third derivative of m**7/2100 + m**3/6 + m**2. Let f(r) be the first derivative of t(r). What is j in f(j) = 0?
0
Let a = -356/35 + 74/7. Let n be 2/1 - (-3 + 2). Find j, given that 0*j - 2/5*j**4 - a*j**n + 4/5*j**2 + 0 = 0.
-2, 0, 1
Let j(x) be the second derivative of 11*x**4/60 + x**3/5 + 2*x - 28. Find u such that j(u) = 0.
-6/11, 0
Let w(t) = 12*t**2 + 2*t - 2. Let b be w(-2). Solve -4*p**4 - 16*p**2 - 5*p**2 + 102*p**4 - 27*p**2 + 8*p + b*p**3 = 0.
-1, 0, 2/7
Let a be (-8)/(-18) + 16/(-72). Let z(l) be the first derivative of 1 - 2/27*l**3 + 0*l**2 + a*l. Factor z(r).
-2*(r - 1)*(r + 1)/9
Let m be (((-22)/12)/(-11))/14. Let g(k) be the third derivative of -1/420*k**6 + 0*k**5 + 0 + 0*k + 0*k**3 + m*k**4 + 2*k**2. Factor g(t).
-2*t*(t - 1)*(t + 1)/7
Let o be 9/(-60) - 4/(-10). Factor 1/4*c - o - 1/4*c**3 + 1/4*c**2.
-(c - 1)**2*(c + 1)/4
Let v be 2/(-8) - (-1762)/3080. Let k = v - 2/55. Factor 10/7*g**2 + 4/