
Let b(n) = -n**3 - 16*n**2 - n - 15. Let r be b(-16). Let t(g) be the first derivative of -1/4*g**4 - g**2 - r + 0*g + g**3. Solve t(h) = 0 for h.
0, 1, 2
Let j(p) be the first derivative of -3*p**4/4 + 4*p**3 + 33*p**2/2 + 18*p + 8. Solve j(r) = 0.
-1, 6
Let z(i) = -i. Let u be z(-6). Let w = -3 + u. Factor 20/9*v**w + 10/9*v**4 + 2/9 + 10/9*v + 20/9*v**2 + 2/9*v**5.
2*(v + 1)**5/9
Suppose -5*m = -m - 8. Suppose z**2 + 0*z**2 - 2 + 4*z - z**m - 2*z**2 = 0. What is z?
1
Let b(s) be the first derivative of -2*s**3/3 + 6*s**2 - 10*s - 60. Determine f so that b(f) = 0.
1, 5
Let w(p) = -4*p**4 + 6*p**3 - 2*p**2. Let x(b) = -5*b**3 + 18*b**3 + 5*b**4 - 4*b**2 - 13*b**4. Suppose -34 = 4*n + 6. Let c(i) = n*w(i) + 6*x(i). Factor c(q).
-2*q**2*(q - 2)*(4*q - 1)
Let b(k) be the first derivative of -k**5/5 - 3*k**4/4 - 2*k**3/3 - 36. Factor b(z).
-z**2*(z + 1)*(z + 2)
Let a(l) be the second derivative of l**7/105 + l**6/150 - l**5/50 - l**4/60 - 8*l. Let a(q) = 0. What is q?
-1, -1/2, 0, 1
Let m(h) be the second derivative of h**6/15 - 9*h**5/40 - h**4/12 + 3*h**3/4 - h**2/2 - 9*h. Solve m(r) = 0.
-1, 1/4, 1, 2
Let t(p) be the second derivative of -p**3 + 0 + 2*p**2 - 3*p + 1/6*p**4. Factor t(a).
2*(a - 2)*(a - 1)
Let d(l) be the first derivative of -l**6/21 + l**4/14 + 2. Find o such that d(o) = 0.
-1, 0, 1
Suppose 0*g = -7*g + 28. Factor -k**3 + 0*k**2 - 1/2*k**5 - 3/2*k**g + 0 + 0*k.
-k**3*(k + 1)*(k + 2)/2
Let h(u) be the second derivative of 0*u**3 - 5*u + 0*u**4 - 3/5*u**5 + 2/5*u**6 + 0*u**2 - 1/14*u**7 + 0. Factor h(k).
-3*k**3*(k - 2)**2
Let s(j) be the second derivative of -j**7/42 - j**6/30 + j**5/10 + 10*j. Factor s(l).
-l**3*(l - 1)*(l + 2)
Let z = 10 - 8. Suppose -z*n - 3*q + 7 = -0*n, -5*n = -4*q - 29. Factor 1/2 + 3/2*w + w**2 - w**3 - 3/2*w**4 - 1/2*w**n.
-(w - 1)*(w + 1)**4/2
Let v be -57 + (-8)/4*-1. Let w be v/(-22) + (-2)/(-4). Factor 0 + 0*x - 2/7*x**w + 2/7*x**2.
-2*x**2*(x - 1)/7
Let q(x) be the first derivative of 5 - 1/4*x**2 + 0*x + 1/2*x**3 - 3/8*x**4 + 1/10*x**5. Let q(u) = 0. Calculate u.
0, 1
Let 6/5 - 3*o**2 - 9/5*o = 0. Calculate o.
-1, 2/5
Let m(a) = 10*a + 24. Let c be m(-2). Let t(o) be the third derivative of o**2 - 1/108*o**c + 0*o + 1/270*o**5 + 0 + 0*o**3. What is r in t(r) = 0?
0, 1
Let a(s) be the first derivative of 2*s**6/3 + 8*s**5/5 + 12. Factor a(h).
4*h**4*(h + 2)
Let a(n) be the first derivative of 6*n + 0*n**3 + 6*n**2 - 2*n + 4 + n**3 + 8*n. Suppose a(b) = 0. Calculate b.
-2
Let h(i) = i**2 + 6*i - 6. Let l = -10 + 13. Let q(s) = 2 - 2 - 7 + 2*s**2 + 7*s. Let a(x) = l*h(x) - 2*q(x). Suppose a(j) = 0. Calculate j.
2
Factor -1/3 + 4/3*v**4 + 5/3*v**3 - 5/3*v - v**2.
(v - 1)*(v + 1)**2*(4*v + 1)/3
Let g(v) be the first derivative of -5*v**6/6 - 2*v**5 - 5*v**4/4 - 6. Let g(r) = 0. Calculate r.
-1, 0
Let x(c) be the first derivative of c**9/756 - c**7/120 + c**6/360 + c**5/40 - c**4/24 - 3*c**3 - 3. Let l(w) be the third derivative of x(w). Solve l(m) = 0.
-1, 1/2, 1
Let g(p) = -p**2 + 9*p - 27. Let k(n) = 1. Let b(f) = -g(f) - 6*k(f). Let z be b(6). Factor -9/2*l**2 - 27/2 + 27/2*l + 1/2*l**z.
(l - 3)**3/2
Suppose 2*v - 14 = -4. Let p(o) be the third derivative of -2*o**2 + 0 + 1/60*o**v + 1/70*o**7 + 0*o + 1/336*o**8 + 1/40*o**6 + 0*o**4 + 0*o**3. Factor p(h).
h**2*(h + 1)**3
Solve 3*u**4 - u**3 - 3*u**2 - 2895 + u**5 + 2895 = 0 for u.
-3, -1, 0, 1
Let k be -1 - (-3 - 24/(-15)). Suppose 2*r + z + 4 - 2 = 0, 2*r - 4*z = 8. Find n such that r - 3/5*n**5 + n**2 - n**4 + 1/5*n**3 + k*n = 0.
-1, -2/3, 0, 1
Factor -4*u**2 - 2*u**3 - 10*u + 12*u - u**3 + 5*u**3.
2*u*(u - 1)**2
Let l be (-16)/8 + (-1 - -8). Let a(t) be the second derivative of 0 - 1/45*t**6 - 1/30*t**l + 3*t + 0*t**2 + 1/9*t**3 + 1/18*t**4. Factor a(s).
-2*s*(s - 1)*(s + 1)**2/3
Factor -43*n - 37*n + 81*n + n**2.
n*(n + 1)
Let q(z) be the first derivative of -5*z**5 - 45*z**4/4 - 20*z**3/3 + 17. Factor q(b).
-5*b**2*(b + 1)*(5*b + 4)
Let f be (1/(-2))/(6 - (-40)/(-5)). Solve 0 - f*w + 0*w**2 + 1/4*w**3 = 0 for w.
-1, 0, 1
Let a be ((-9)/15)/(1/(-5)). Factor -2*x - 2*x**2 + 0*x**a + 2*x**4 - 4*x**3 + 4*x**3 + 2*x**3.
2*x*(x - 1)*(x + 1)**2
Let d = 109 - 109. Let r(v) be the first derivative of -1 + 0*v + 2/3*v**3 + d*v**2. Factor r(j).
2*j**2
Let m = 76 - 76. Let s(o) be the third derivative of -o**2 + 9/10*o**6 + 0*o**3 + 0*o**4 - 1/5*o**5 - 81/70*o**7 + 0*o + m. Factor s(a).
-3*a**2*(9*a - 2)**2
Let u(v) = -v + 13. Let z be u(14). Let k be z + 3 - (-344)/24. Factor -28/3*h + 4/3 + k*h**2.
(7*h - 2)**2/3
Let z(v) be the second derivative of 5/12*v**4 + 1/2*v**3 + 0 + 0*v**2 - 5*v - 1/10*v**5. Factor z(i).
-i*(i - 3)*(2*i + 1)
Let d(f) be the second derivative of 0*f**4 + 0*f**3 + 3/20*f**5 + 0*f**2 - f + 0. Let d(y) = 0. What is y?
0
Find q such that 0*q - 2/9*q**4 + 0*q**2 + 0 + 0*q**3 = 0.
0
Let n = 323/5 + -64. Find v such that n*v**5 + 6/5*v - 3/5*v**4 - 9/5*v**3 + 3/5*v**2 + 0 = 0.
-1, 0, 1, 2
Factor -5*a**3 + 5*a**2 - 930 + 10*a + 930.
-5*a*(a - 2)*(a + 1)
Let t(x) be the second derivative of -1/30*x**6 + x**2 - 1/20*x**5 - 5*x + 5/6*x**3 + 1/4*x**4 + 0. Determine k, given that t(k) = 0.
-1, 2
Let h be (-2)/4*(5 + -9). Factor -r**h - 3 + 6*r - 9 + 3.
-(r - 3)**2
Let i(s) = s**2 + 2*s + 2. Suppose 29 = -3*n + 4*j, 5*j = -8*n + 3*n + 10. Let h be i(n). Determine g, given that g**3 - 6*g**5 + 4*g**h + g**3 = 0.
-1, 0, 1
Suppose -3*z - 3 = -b, -3*z = -b - 2*z + 3. Let j be 0/((-2)/1 - -1). Solve -h - h**3 + j*h**3 + 2*h**b = 0 for h.
-1, 0, 1
Let w(c) be the second derivative of c**6/60 - c**5/20 + c**4/24 - 14*c. Let w(z) = 0. What is z?
0, 1
Let r = -40 - -481/12. Let g(x) be the second derivative of x + 0 - 1/2*x**2 - 1/5*x**6 - r*x**7 + 1/10*x**5 + 7/12*x**4 + 1/4*x**3. Find h such that g(h) = 0.
-1, 2/7, 1
Let y(v) be the first derivative of 7*v**4 + 160*v**3/3 + 102*v**2 - 72*v - 8. Factor y(u).
4*(u + 3)**2*(7*u - 2)
Find c, given that -1/4 + 19/4*c**2 - 2*c - 5/2*c**3 = 0.
-1/10, 1
Let y = 410 - 1637/4. Determine d so that -3/4*d**3 + 0 - 1/4*d + y*d**2 + 1/4*d**4 = 0.
0, 1
Let x(t) be the first derivative of 4/5*t - 6/5*t**3 - 2/5*t**5 + 2 - 1/5*t**2 + 13/10*t**4. Factor x(s).
-2*(s - 1)**3*(5*s + 2)/5
Let a(o) be the third derivative of -o**5/150 + o**4/60 + 6*o**2. Factor a(i).
-2*i*(i - 1)/5
Let n(v) be the second derivative of -v**5/110 + v**4/33 + v**3/33 - 2*v**2/11 - 4*v. What is x in n(x) = 0?
-1, 1, 2
Let b(c) be the first derivative of 0*c**2 + 0*c**3 - 2/5*c**5 + 4 + 0*c - 1/2*c**4. Factor b(o).
-2*o**3*(o + 1)
Factor -q - 1/3*q**3 + q**2 + 1/3.
-(q - 1)**3/3
Let y(a) = a + 5. Suppose 0*j - 3*j = 15. Let p be y(j). Factor 2/5*n + p + 3/5*n**2.
n*(3*n + 2)/5
Factor 16/7*a - 2/7*a**2 - 32/7.
-2*(a - 4)**2/7
Let q = 7/3 + -131/57. Let a = 65/228 - q. Factor -1/4*g**2 - 1/4*g + a + 1/4*g**3.
(g - 1)**2*(g + 1)/4
Let s be 6*4/6 + -1. Factor 2*d**2 + d**2 + 3*d + d**2 + d**s + d.
d*(d + 2)**2
Let y(t) be the first derivative of 0*t**5 + 1/9*t**6 - 1 + 0*t**2 - 1/6*t**4 + 0*t**3 + 0*t. Factor y(w).
2*w**3*(w - 1)*(w + 1)/3
Let c(r) = 5*r**2 - 2*r + 1. Let o be c(1). Suppose o*m - f + 3 = 0, 5*m - 6 = -5*f + 9. Factor -2/9*p**3 + m + 0*p**2 + 0*p.
-2*p**3/9
Suppose -28*a + 10*a = -54. Suppose 6/5*w**4 + 4/5*w - 14/5*w**2 + 4/5*w**a + 0 = 0. What is w?
-2, 0, 1/3, 1
Let t be 7 + -1 + 2 + -4. Let j(y) = -y**4 + y**3 - y**2 - y - 1. Let p(a) = 3*a**5 - 5*a**4 + 5*a**3 + a**2 + 4*a + 4. Let w(u) = t*j(u) + p(u). Factor w(x).
3*x**2*(x - 1)**3
Let v = -212/11 + 1594/77. Determine a, given that -4/7*a - 8/7*a**3 - 2/7*a**4 + 0 - v*a**2 = 0.
-2, -1, 0
Let o(n) be the first derivative of -1/18*n**4 - 1/3*n**2 - 6 - 2/9*n - 2/9*n**3. Factor o(p).
-2*(p + 1)**3/9
Let s(g) be the first derivative of g**8/336 - g**7/105 + g**5/30 - g**4/24 + g**2/2 - 2. Let r(n) be the second derivative of s(n). What is w in r(w) = 0?
-1, 0, 1
Let z be (-1 + -1)*6/(-4). Factor -8*p**3 + 0*p**3 + p**5 + 5*p**3 + 3*p**4 + 2*p**5 - z*p**2.
3*p**2*(p - 1)*(p + 1)**2
Let g(y) be the second derivative of y**7/28 + 3*y**6/20 + 9*y**5/40 + y**4/8 - 8*y. Factor g(o).
3*o**2*(o + 1)**3/2
Suppose 38 = 2*h - 4*b, 2*h - 4*h = b - 13. Solve 3*p - p**2 + 4*p**5 + p**3 - 8 - 8*p**3 + h = 0 for p.
-1, -1/2, 1
Let m(y) be the second derivative of -y**7/105 - 4*y**6/75 + y*