olve g(m) = 0.
-3, -1, 0
Suppose 2/9*s + 2/9*s**3 + 0 - 4/9*s**2 = 0. Calculate s.
0, 1
Suppose 2*i + 4 - 8 = 0. Let t(c) be the third derivative of 0 - 1/21*c**4 - c**i + 0*c**3 + 0*c - 1/420*c**6 + 2/105*c**5. What is p in t(p) = 0?
0, 2
Let d(c) be the second derivative of c**5/10 + 5*c**4/6 + 4*c**3/3 + c. Solve d(k) = 0 for k.
-4, -1, 0
Let d(r) be the third derivative of -r**8/2240 + r**7/1120 + r**6/480 - r**5/160 + r**3/2 - 3*r**2. Let y(g) be the first derivative of d(g). Solve y(x) = 0.
-1, 0, 1
Find v, given that 2/17*v + 4/17 - 2/17*v**2 = 0.
-1, 2
Let l(k) be the third derivative of k**5/270 - k**4/54 + 13*k**2. Let l(g) = 0. What is g?
0, 2
Factor -2/3*k + 1/3 + 2/3*k**3 - 1/3*k**4 + 0*k**2.
-(k - 1)**3*(k + 1)/3
Let c(z) be the first derivative of z**6/600 - z**4/40 + z**3/15 - 3*z**2/2 + 2. Let y(t) be the second derivative of c(t). What is l in y(l) = 0?
-2, 1
Find g, given that 1/5*g**3 + 64/5 + 17/5*g**2 + 16*g = 0.
-8, -1
Let h(w) = -w**5 + w. Let g(i) = -60*i**5 - 3*i**4 + 41*i**3 - 17*i**2 - i. Let z(f) = -g(f) - 3*h(f). Suppose z(y) = 0. Calculate y.
-1, 0, 2/7, 1/3
Let a(u) = u**3 + 29*u**2 + 28*u + 2. Let x be a(-28). Factor 2/5*s**x + 2/5*s**5 + 0 - 2/5*s**3 - 2/5*s**4 + 0*s.
2*s**2*(s - 1)**2*(s + 1)/5
Let i(l) be the third derivative of -l**7/210 - l**6/120 + l**5/60 + l**4/24 + 5*l**2. Factor i(d).
-d*(d - 1)*(d + 1)**2
What is k in 1/3*k**2 + 0 + 0*k + 1/3*k**3 = 0?
-1, 0
Suppose 1 = -w + 13. Suppose -2*c = -5*c + w. Let -3*t**3 + 2*t**4 - 3*t**c - 3*t**2 - t + 0*t**3 = 0. Calculate t.
-1, 0
Let t(k) be the second derivative of 0 - 1/6*k**3 + 1/84*k**7 + 5/24*k**4 + k - 3/40*k**5 + 0*k**2 - 1/60*k**6. Find q such that t(q) = 0.
-2, 0, 1
Let t(c) be the second derivative of c**7/70 + c**6/20 - c**4/4 - c**3/2 + 4*c**2 + 6*c. Let s(w) be the first derivative of t(w). Factor s(i).
3*(i - 1)*(i + 1)**3
Let c = 0 + 1. Suppose -o - 6 - c = -2*p, 2*p + 8 = -4*o. Factor j**2 - p*j**2 + 2*j + 5*j**2 + 2*j**3.
2*j*(j + 1)**2
Find u such that -2*u**4 - 2*u**5 - 3*u + 2*u**2 + 7*u + 6*u**3 + 8*u**2 = 0.
-1, 0, 2
Factor -1/2*k**3 - 25/2*k + 0 - 5*k**2.
-k*(k + 5)**2/2
Let n = 7 - 8. Let u(g) = 29*g**2 + g + 1. Let w be u(n). Factor 29 - z**4 + 3*z**3 - 3*z**2 - w + z.
-z*(z - 1)**3
Suppose -4*p = -2*h + 4, 3*h - 4*h - 2*p = 2. Suppose h*j - 8 = -4*j. Factor 3*v**j - 4*v**2 + 2*v - 4*v.
-v*(v + 2)
Let w(b) be the first derivative of -b**7/70 + b**5/20 + b**2 - 1. Let p(z) be the second derivative of w(z). Factor p(a).
-3*a**2*(a - 1)*(a + 1)
Let k(h) be the third derivative of h**7/105 - 7*h**6/180 - h**5/30 + h**3/3 - 4*h**2. Let q(b) be the first derivative of k(b). Suppose q(w) = 0. What is w?
-1/4, 0, 2
Let j(s) be the first derivative of 2*s**5/5 - 2*s**3/3 - 4. Find f, given that j(f) = 0.
-1, 0, 1
Let x(f) be the first derivative of 21*f**5/5 + 15*f**4/4 - 7*f**3 - 15*f**2/2 + 51. Factor x(j).
3*j*(j - 1)*(j + 1)*(7*j + 5)
Let k(m) = -m - 1. Let i be k(-1). Let d be (i + 0)*(-12)/24. Solve 2/3*x**3 + d*x + 0*x**2 + 2/3*x**4 + 0 = 0 for x.
-1, 0
Let p(g) be the second derivative of -g**7/210 + g**6/150 + 4*g. Factor p(b).
-b**4*(b - 1)/5
Let o = -221/7 - -449/14. Factor 0*z + 0 + o*z**2.
z**2/2
Let a(z) be the first derivative of -z**6/6 + 2*z**5/5 + 3*z**4/4 - 4*z**3/3 - 2*z**2 - 7. Factor a(s).
-s*(s - 2)**2*(s + 1)**2
Suppose 20*c = 49*c - 58. Determine d, given that -14/11*d**3 + 0 + 0*d - 4/11*d**c = 0.
-2/7, 0
Suppose 0*w + 2*w - 22 = -2*s, 0 = -2*s - 3*w + 20. Suppose 2*i**3 + i + 3*i**3 - s*i + 8 - i**3 = 0. What is i?
-2, 1
Let a(m) = 3*m**4 + 2*m**3 - m**2 - 2*m + 2. Let w(f) = 9*f**4 + 7*f**3 - 2*f**2 - 7*f + 7. Let k(q) = -7*a(q) + 2*w(q). Factor k(g).
-3*g**2*(g - 1)*(g + 1)
Let q(h) be the first derivative of h**5/25 - 3*h**4/20 + h**3/5 - h**2/10 + 2*h + 3. Let y(i) be the first derivative of q(i). Suppose y(v) = 0. Calculate v.
1/4, 1
Suppose 3*m = 3*n + 5 + 4, 0 = -2*m - 4*n. Let h = 49/160 + 3/32. Factor -2/5 + 0*k - h*k**4 + 4/5*k**m + 0*k**3.
-2*(k - 1)**2*(k + 1)**2/5
Let b = 8 - 5. Find p, given that -3 + b*p**2 - p + 4*p - 3*p = 0.
-1, 1
Let m be (-3 + 33/9)*6. Factor 17 + 8*h + 1 + 16*h**3 + 32*h**2 + 12*h**2 + 40*h + 2*h**m.
2*(h + 1)**2*(h + 3)**2
Let m(y) = -y**3 - 2*y - 1. Let w be m(-1). Factor -6*d + 13 - 3*d**w - 13.
-3*d*(d + 2)
Suppose 0 = -13*n - 6*n + 18*n. Factor 0 - 1/3*m**3 + 0*m + n*m**2 - 1/3*m**4.
-m**3*(m + 1)/3
Let u(l) = 26*l - 74. Let y(f) = f**2 + f - 1. Let a(v) = 2*u(v) - 4*y(v). Factor a(n).
-4*(n - 6)**2
Let m(x) be the second derivative of x**4/24 - x**3/12 + 6*x. Factor m(h).
h*(h - 1)/2
Let y be ((-4)/(-7))/((-10)/(-14)). Factor -2/5*j**4 + 0 - 8/5*j**3 - y*j - 2*j**2.
-2*j*(j + 1)**2*(j + 2)/5
Factor 2 + 265*l**2 - 273*l**2 + 2 + 4*l**4.
4*(l - 1)**2*(l + 1)**2
Suppose -53*g + 12 = -50*g. Factor 2/3*t**3 + 0 - t**2 - 2/3*t + t**g.
t*(t - 1)*(t + 1)*(3*t + 2)/3
Let p(f) be the first derivative of -4*f**5/5 - 3*f**4 - 4*f**3 - 2*f**2 - 1. Factor p(c).
-4*c*(c + 1)**3
Let w = 4700 + -18615/4. Let i = -46 + w. Let -1/2*p**2 + p**4 + 0*p + i*p**3 - 3/4*p**5 + 0 = 0. What is p?
-2/3, 0, 1
Let m = -13 + 19. Suppose -m*g + 10 = -g. Factor p**2 - 2*p**3 + 3*p**4 - 2*p**4 + 0*p**g.
p**2*(p - 1)**2
Let k(p) = p**5 - p**3 - 1. Let t(q) = 3*q**5 + 6*q**4 - 11*q**3 + 2*q**2 - 5. Let b(s) = 5*k(s) - t(s). What is c in b(c) = 0?
0, 1
Let l(w) be the third derivative of -w**7/105 + 7*w**6/60 - w**5/3 - 15*w**2 + 3. Let l(f) = 0. Calculate f.
0, 2, 5
Suppose -14 + 4 = -5*d. Let c(x) be the second derivative of 7/10*x**5 + 0 + x + 1/3*x**4 - d*x**2 - 7/3*x**3. Let c(k) = 0. Calculate k.
-1, -2/7, 1
Let p(c) be the second derivative of -1/33*c**3 + 4*c - 1/33*c**4 + 0*c**2 + 0 - 1/110*c**5. Factor p(b).
-2*b*(b + 1)**2/11
Let c(n) = -5*n**2 - 4*n - 3. Let s(m) = -14*m**2 - 13*m - 10. Let l(r) = -11*c(r) + 4*s(r). Factor l(o).
-(o + 1)*(o + 7)
Let i(n) = 3*n**5 + 2*n**4 - 3*n**3 - 2*n**2 - 2*n - 2. Let k(w) = 12*w**5 + 9*w**4 - 12*w**3 - 9*w**2 - 9*w - 9. Let l(z) = 9*i(z) - 2*k(z). Factor l(t).
3*t**3*(t - 1)*(t + 1)
Let h(r) = -r**3 + 11*r**2 - r + 14. Let y(t) = t**3 + 4*t**2 - 6*t + 6. Let f be y(-5). Let x be h(f). Let a**x - a**3 + 4*a**3 + 2*a**4 = 0. Calculate a.
-2, 0
Suppose -24 - 80 = 4*m. Let j = -51/2 - m. Factor 1/2*h**2 - 1/2*h**5 + 1/2*h**3 - j*h**4 + 0*h + 0.
-h**2*(h - 1)*(h + 1)**2/2
Suppose 2*s - 30 = -24. Let i(h) be the third derivative of -1/16*h**4 - 1/6*h**s + 1/80*h**6 + 0 + 1/420*h**7 + 0*h + 1/120*h**5 - 2*h**2. Factor i(a).
(a - 1)*(a + 1)**2*(a + 2)/2
Let b(j) be the second derivative of -4*j + 0 - 1/15*j**3 + 0*j**2 + 1/30*j**4. Factor b(c).
2*c*(c - 1)/5
Let i(v) be the second derivative of v**4/9 + 8*v**3/9 + 2*v**2 + 22*v. What is a in i(a) = 0?
-3, -1
Let n(g) be the third derivative of -1/210*g**7 - 3*g**2 + 1/120*g**6 + 0*g**4 + 0*g + 0*g**5 + 0 + 0*g**3. What is m in n(m) = 0?
0, 1
Let f = 220 + -879/4. Factor -f*v**3 + 0 + 1/4*v**2 + 1/2*v.
-v*(v - 2)*(v + 1)/4
Factor 4/3*a**3 + 0 + a**2 - 1/3*a.
a*(a + 1)*(4*a - 1)/3
Factor -21*s**2 + 6*s**3 - 6*s**4 + 9*s**4 - 6*s + 18*s.
3*s*(s - 1)**2*(s + 4)
Factor 327*o - 6*o**4 - 3*o**4 + 6*o**3 - 331*o - 4 + 11*o**2.
-(o - 1)**2*(3*o + 2)**2
Suppose 3*a + 10 = 8*a. Let i(p) be the first derivative of -1/2*p**4 + 0*p - 2/3*p**3 + 1/3*p**6 + 2/5*p**5 + 0*p**a - 1. Factor i(x).
2*x**2*(x - 1)*(x + 1)**2
Let p(d) be the second derivative of -3*d**5/40 + 3*d**4/8 - d**3/2 + 12*d. Factor p(m).
-3*m*(m - 2)*(m - 1)/2
Let j(c) be the first derivative of 1/10*c**5 + 2 - 1/6*c**3 + 0*c + 1/4*c**2 - 1/8*c**4. Factor j(r).
r*(r - 1)**2*(r + 1)/2
Let b = 96 + -93. What is j in -1/2*j**4 - 3/2*j**2 + 1/2*j + 3/2*j**b + 0 = 0?
0, 1
Let b(u) = -7*u**2 + 2. Let y(p) = -16*p**2 + 13*p - 9. Let q(w) = -8*w**2 + 6*w - 4. Let d(v) = 13*q(v) - 6*y(v). Let z(s) = -6*b(s) + 5*d(s). Factor z(n).
2*(n - 1)*(n + 1)
Let c(f) be the first derivative of 0*f**3 + 1/2*f**2 + 1/270*f**5 - 1/540*f**6 + 0*f + 0*f**4 - 2. Let b(a) be the second derivative of c(a). Factor b(n).
-2*n**2*(n - 1)/9
Suppose 0 - 3/4*t**3 - 3/2*t + 9/4*t**2 = 0. Calculate t.
0, 1, 2
Suppose -3*i + 0*i + 11 = 5*x, -3*x = -3*i - 21. Suppose -x*k - 1 + 9 = 0. Factor -1/4*b**4 + 0*b - 1/4*b**3 + 1/4*b**5 + 0 + 1/4*b**k.
b**2*(b - 1)**2*(b + 1)/4
Let s = -71 + 74. Fact