0. Calculate g.
-1, -2/5, 0
Let u = -71 - -109. Let b be 1/4 - u/(-8). Let -5*m**4 - 3*m - m**5 + b*m**3 - 10*m**2 - 2*m - 1 - 15*m**3 = 0. What is m?
-1
Let u(w) be the second derivative of w**5/170 + 5*w**4/102 + 2*w**3/17 + w. Factor u(b).
2*b*(b + 2)*(b + 3)/17
Let j(d) be the second derivative of -d**4/24 + d**3/2 - 9*d**2/4 - 6*d. Let j(c) = 0. What is c?
3
Let r(y) be the third derivative of 6*y**2 - 1/360*y**6 + 0*y + 0*y**3 + 1/36*y**4 + 0 + 1/180*y**5. Find v, given that r(v) = 0.
-1, 0, 2
Let l(z) = -2*z**3 + 2*z - 10. Let r(g) = 1. Let y(n) = -2*l(n) - 20*r(n). Solve y(f) = 0 for f.
-1, 0, 1
Let d(h) be the third derivative of 1/15*h**5 - 1/60*h**6 + 0*h + 0 - 1/12*h**4 + 0*h**3 - 3*h**2. Determine o, given that d(o) = 0.
0, 1
Factor y**4 - 7*y**3 + 6*y**3 + y**2 - y**3 + 0*y**2.
y**2*(y - 1)**2
Let k(u) = 4*u**3 + 2*u**2 - 8*u - 6. Let n be (-3)/(-2) - (-6)/4. Let j(r) = 0*r**n + r - 3 - r**3 - 3 - r**2 + 7. Let q(g) = -5*j(g) - k(g). Factor q(c).
(c + 1)**3
Suppose 0 = 3*d + s - 4, 5*d - 5*s = -0*d - 20. What is i in 1/3*i**3 + 1/3*i + d - 2/3*i**2 = 0?
0, 1
Let s(r) be the third derivative of -r**6/200 - r**5/50 - r**4/40 + 16*r**2. Factor s(b).
-3*b*(b + 1)**2/5
Let z be (2/(-36))/(-1)*13. Let m = z - 2/9. Factor 0*k + 1/2 + m*k**4 + 0*k**3 - k**2.
(k - 1)**2*(k + 1)**2/2
Suppose 5*w = 3*w + 66. Suppose a = r - 0*a + 3, -4*r = 5*a - w. Factor 0*t**r + 0 - 2/5*t + 2/5*t**3.
2*t*(t - 1)*(t + 1)/5
Factor -7*h**3 - 7*h + h + 5*h**3 + 4 - 2 + 6*h**2.
-2*(h - 1)**3
Let u(c) be the second derivative of -c**4/12 + 5*c**3/6 + 23*c. Factor u(g).
-g*(g - 5)
Let q be 1/3*(-6)/(-1). Suppose 3*l = 2*l + q. Factor 1/4*y**l + 0*y + 0.
y**2/4
Let u(y) be the first derivative of 1/11*y**2 + 5 - 2/11*y + 1/33*y**6 - 2/55*y**5 + 4/33*y**3 - 1/11*y**4. Factor u(p).
2*(p - 1)**3*(p + 1)**2/11
Factor 8*a + 6*a**2 + 11*a**2 + a**2 - 10*a**2 + 2*a**3.
2*a*(a + 2)**2
Let u**3 - 8*u + 8*u**2 - 3*u**3 + 0*u**2 = 0. What is u?
0, 2
Suppose 10*h + 4 = 4. Factor 3/4*w**2 + 3/2*w + h.
3*w*(w + 2)/4
Let o be 4/10 - 5565/(-25). Let u = 1119/5 - o. Let -4/5 - 1/5*a**2 - u*a = 0. Calculate a.
-2
Suppose 2 + 3 = y. Let p(b) = b**2 - 6*b + 7. Let x be p(y). Suppose 0 + 1/3*k + 1/3*k**x = 0. Calculate k.
-1, 0
Let f(b) be the first derivative of -4*b**3/5 + 9*b**2/5 - 6*b/5 - 18. Factor f(t).
-6*(t - 1)*(2*t - 1)/5
Let w(n) = -4*n**3 - 4*n**2 + 4*n + 28. Let g(o) = -1. Let c(u) = 24*g(u) + w(u). Solve c(v) = 0.
-1, 1
Let r(f) = -3*f - 2. Let m be r(-1). Factor 6*k - m - k**3 + 0*k - 7*k + k**2 + 2*k.
-(k - 1)**2*(k + 1)
Let k be (5 - 84/20)/1. Solve 2/5*q - 2/5*q**2 + k = 0 for q.
-1, 2
Let u(r) be the second derivative of -r**5/30 - r**4/6 - 2*r**3/9 - 18*r. Factor u(c).
-2*c*(c + 1)*(c + 2)/3
Let i(v) be the first derivative of -v**4/6 + 5. Let i(k) = 0. Calculate k.
0
Let t = 10 - -8. Factor 18*o - t*o + 1 - o**2.
-(o - 1)*(o + 1)
Let j = 14 + -32. Let m = j + 20. Factor -2/11 + 2/11*s**m + 0*s.
2*(s - 1)*(s + 1)/11
Let i(a) be the second derivative of -1/50*a**5 + 2/15*a**3 - 1/30*a**4 + 0 + 3*a + 0*a**2. Factor i(c).
-2*c*(c - 1)*(c + 2)/5
Let y(g) be the second derivative of -2*g**3 - 9*g**2 + 0 - 1/6*g**4 - g. Solve y(d) = 0 for d.
-3
Let o(m) be the first derivative of m**4/3 + 20*m**3/27 + 4*m**2/9 - 9. What is t in o(t) = 0?
-1, -2/3, 0
Let s = 6 - 10. Let d be s/8 - 2/(-4). Let d*b + 0*b + 3*b + b - 2*b**2 = 0. What is b?
0, 2
Let f be ((-1)/2)/((-1)/((-1)/(-2))). Factor 1/2*a - f - 1/4*a**2.
-(a - 1)**2/4
Suppose 0 = 4*s - 0*s. Find i such that -1/3*i**3 + s*i**2 - 1/3*i**5 - 2/3*i**4 + 0*i + 0 = 0.
-1, 0
Let p(r) = r**2 + 5*r - 6. Let u(b) = b - 1. Let v(y) = y**3 + 4*y**2 + y + 5. Let s be v(-4). Let n(t) = s*p(t) - 4*u(t). Let n(j) = 0. What is j?
-2, 1
Let c be (-6 - 1)*(-54)/21. Let p = -15 + c. Solve 14/5*u**p + 4/5 - 24/5*u**2 + 6/5*u = 0 for u.
-2/7, 1
Suppose 4*l - u - 43 = 0, 3*l + 5*u = 5*l + 1. Factor l + 0*m - 15 - 3*m**2 - 4*m - 2*m.
-3*(m + 1)**2
Suppose -3*x + 5*x = 2*i - 14, -4*i = -3*x - 23. Let d be ((-4)/(-35))/(i/5). Let -1/7 + d*a - 1/7*a**2 = 0. Calculate a.
1
Let n(a) = -7*a**2 + 5*a - 6. Let i(r) = -r - 5*r**2 + 1 + 6*r**2 + 0. Let g(c) = 6*i(c) + n(c). Factor g(q).
-q*(q + 1)
Factor 12*x - 12*x**3 + 2*x**4 + 5*x**2 + 2*x**4 - 8 - x**2.
4*(x - 2)*(x - 1)**2*(x + 1)
Suppose 4*y = -20, -2*i = -4*y - 29 + 9. Suppose -4*q + i*q + 180 = 0. Suppose -72*c**4 + 16*c**5 - 2*c - 36*c**2 + 6*c + 52*c**3 + q*c**3 = 0. What is c?
0, 1/4, 2
Let j(c) be the third derivative of c**8/420 + c**7/420 - c**6/90 - c**5/60 + c**3/3 - 3*c**2. Let w(p) be the first derivative of j(p). Factor w(v).
2*v*(v - 1)*(v + 1)*(2*v + 1)
Factor -4/5*p**5 + 0 + 0*p**4 + 8/5*p**3 - 4/5*p + 0*p**2.
-4*p*(p - 1)**2*(p + 1)**2/5
Suppose -2*m = -5 - 1. Suppose m*v = -v. Factor 0 + v*w - w**2 - 1/2*w**3.
-w**2*(w + 2)/2
Factor -1/3*p**4 + 0 + 0*p + 2/3*p**3 - 1/3*p**2.
-p**2*(p - 1)**2/3
Let m(w) be the first derivative of -w**6/9 - 2*w**5/15 + w**4/2 + 2*w**3/9 - 2*w**2/3 + 32. Solve m(g) = 0 for g.
-2, -1, 0, 1
Let c(p) be the first derivative of 2*p**5/15 + 5*p**4/6 + 2*p**3 + 7*p**2/3 + 4*p/3 - 5. Factor c(j).
2*(j + 1)**3*(j + 2)/3
Let o(x) be the first derivative of 2*x**6/5 - 32*x**5/25 - 8*x**4/5 + 56*x**3/15 + 2*x**2 - 24*x/5 - 34. Let o(z) = 0. Calculate z.
-1, 2/3, 1, 3
Let g = -2/333 - 301/5328. Let q = g + 19/48. Solve q*o**2 - 2/3 + 1/3*o = 0 for o.
-2, 1
Let s(u) = 2*u**3 - 5*u**2 + 9*u + 3. Let g(j) = -10*j**3 + 24*j**2 - 46*j - 16. Let q(m) = -3*g(m) - 16*s(m). Find n, given that q(n) = 0.
0, 1, 3
Solve -2/5*l**2 - 2*l**3 + 8/5*l + 0 = 0.
-1, 0, 4/5
Let a be (-1)/4 - 9/(-4). Factor -32/7*l + a*l**2 + 8/7.
2*(l - 2)*(7*l - 2)/7
Suppose 2 = 2*z - 0. Let m be (-18)/(-36)*(3 + z). Let -1/2*r + 0 - 3*r**3 + m*r**2 - 1/2*r**5 + 2*r**4 = 0. What is r?
0, 1
Let 2/7*u**5 - 52/7*u**2 - 18/7*u - 12/7*u**4 + 0 - 48/7*u**3 = 0. What is u?
-1, 0, 9
Let f(b) be the third derivative of b**9/21168 - b**7/5880 - 2*b**3/3 - 4*b**2. Let c(s) be the first derivative of f(s). Factor c(o).
o**3*(o - 1)*(o + 1)/7
Let u(c) = 6*c**2 - 2*c - 4. Let f(i) = -i**2 + 1. Let t(b) = -5*f(b) - u(b). Factor t(m).
-(m - 1)**2
Suppose i + 3 = 20. Let w = -13 + i. Factor 4*g**2 + 3/2*g**w + 1/2 - 9/4*g - 7/2*g**3 - 1/4*g**5.
-(g - 2)*(g - 1)**4/4
Find c such that -3/7*c**2 - 9/7*c - 6/7 = 0.
-2, -1
Suppose 5*m + j = 9 - 0, j = 3*m - 7. Let r(q) be the first derivative of -q**3 + 4*q - 1/4*q**4 - 3 + 0*q**m. Let r(x) = 0. Calculate x.
-2, 1
Let i = 113/750 + 2/125. Let w(k) be the third derivative of 0*k + 1/105*k**7 + k**2 - 1/3*k**3 + 0 + i*k**4 + 0*k**5 - 1/30*k**6. Factor w(z).
2*(z - 1)**3*(z + 1)
Factor -s - 5/4*s**2 - 1/4 - 1/2*s**3.
-(s + 1)**2*(2*s + 1)/4
Let l(j) be the third derivative of j**5/270 + j**4/54 - 10*j**2. Factor l(y).
2*y*(y + 2)/9
Let d(f) be the first derivative of f**6/27 - 2*f**4/9 - 4*f**3/27 + f**2/3 + 4*f/9 + 19. Factor d(r).
2*(r - 2)*(r - 1)*(r + 1)**3/9
Let v = -1 - 0. Let z be 6/(-8) - (-2 - v). Factor 1/2*x**2 - z*x**3 - 1/4*x + 0.
-x*(x - 1)**2/4
Let d(j) be the third derivative of 0 + 0*j + 4/3*j**4 - 3*j**2 + 47/60*j**6 + 29/20*j**5 + 2/3*j**3 + 1/6*j**7. Let d(v) = 0. What is v?
-1, -2/5, -2/7
Suppose -3*a + p + 12 = a, 4*p = 4*a - 24. Suppose q**5 + 0*q**2 + 6*q**4 - 3*q - 7*q**2 + a*q**5 + q**2 = 0. What is q?
-1, 0, 1
Let k(u) be the third derivative of 0*u - 8*u**3 + u**4 + 6*u**2 + 0 - 1/20*u**5. Factor k(q).
-3*(q - 4)**2
Let u be (19/(228/(-8)))/(4/(-3)). Determine o so that 3/4*o - 1/4*o**2 - u = 0.
1, 2
Let x = 76 - 69. Let u(r) be the third derivative of 0*r**6 - 1/3*r**3 + 1/15*r**5 + 0*r + 0 - 1/105*r**x + 0*r**4 + 4*r**2. Solve u(t) = 0 for t.
-1, 1
Suppose -30 = -g + 3*o, -2*g - g = o - 40. Let d = g - 11. Factor -13/4*z**2 - 3/2*z**3 - 1 - 3*z - 1/4*z**d.
-(z + 1)**2*(z + 2)**2/4
Let s(i) be the second derivative of i**7/126 + i**6/30 + i**5/20 + i**4/36 + 18*i. Factor s(p).
p**2*(p + 1)**3/3
Let v(n) be the first derivative of n**5/5 - n**4/2 - n**3/3 + n**2 - 14. Factor v(w).
w*(w - 2)*(w - 1)*(w + 1)
Let l = 38 + -38. Let l - 1/3*t**4 + t**3 + 2/3*t - 1/3*t**5 + 5/3*t**2 = 0. Calculate t.
-1, 0, 2
Let g(v) be the first derivative of -v**6/2340 + v**5/780 - v**3 + 2. Let p(u) be the third derivative of g(u). Factor p(x).
-2*x*(x - 