
-1, 1, 2
Let w(s) be the third derivative of -2*s**7/735 + s**6/210 + 2*s**5/21 + 4*s**4/21 + 3*s**2 + 4. Factor w(t).
-4*t*(t - 4)*(t + 1)*(t + 2)/7
Determine v, given that -2/5*v + 18/5*v**2 + 26/5*v**3 - 4/5 + 2*v**4 = 0.
-1, 2/5
Let k(d) = -d + 2. Let o be k(0). Suppose 5*a + 4 - 9 = -5*b, 2*a + 2 = o*b. Factor 1/3*i**4 + a*i + 1/3*i**2 - 2/3*i**3 + 0.
i**2*(i - 1)**2/3
Let l(m) be the first derivative of 0*m + 4 - 1/21*m**6 + 0*m**5 + 1/7*m**4 + 0*m**3 - 1/7*m**2. Find j such that l(j) = 0.
-1, 0, 1
Let w(r) = -2*r + 8. Let l be w(14). Let k = 20 + l. Suppose k*t + 2/5*t**4 + 0 + 2/5*t**3 - 2/5*t**2 - 2/5*t**5 = 0. Calculate t.
-1, 0, 1
Suppose -31 = -5*z - 4*x, -8*x + 3*x = 3*z - 29. Solve 10/7*h**z + 16/7*h**2 + 0 + 8/7*h + 2/7*h**4 = 0.
-2, -1, 0
Let v = 8 + -13. Let t = -2 - v. Factor 2*c - 4*c + 4*c**t - c**5 - c**5.
-2*c*(c - 1)**2*(c + 1)**2
Let f(v) be the third derivative of -v**8/112 + 2*v**7/35 - v**6/10 - v**5/10 + 5*v**4/8 - v**3 - 35*v**2. Factor f(w).
-3*(w - 2)*(w - 1)**3*(w + 1)
Let p be 0/(0 - (5 - 4)). Let b(g) be the third derivative of 0*g**4 + 0 + 1/135*g**5 + g**2 - 1/540*g**6 + p*g**3 + 0*g. Determine i so that b(i) = 0.
0, 2
Suppose -5*y = l + 7, 3*l - 3*y - 18 = -l. Suppose 12 = 4*r, 0 = -13*k + 14*k + r - 5. Determine u, given that 2/5*u**2 + 6/5*u**4 + k*u**l - 2/5*u + 0 = 0.
-1, 0, 1/3
Suppose -b = 2*b - 18. Suppose 2*w + 5*o - b = 0, -w + 6 = w + o. Factor 8*t**4 + 8*t**2 + 2*t**5 + 0*t + 12*t**w - t + 3*t.
2*t*(t + 1)**4
Let l(h) be the second derivative of h**8/420 + h**7/210 - h**6/90 - h**5/30 + h**3/6 - 5*h. Let z(d) be the second derivative of l(d). Factor z(k).
4*k*(k - 1)*(k + 1)**2
Let q(x) be the third derivative of 0*x**3 + 4*x**2 + 1/75*x**6 - 1/300*x**5 - 1/60*x**4 + 0*x + 0 - 1/210*x**7. Suppose q(d) = 0. Calculate d.
-2/5, 0, 1
Let t(s) be the first derivative of s**5/20 - s**4/4 + s**3/2 - 3*s**2/2 + 1. Let g(v) be the second derivative of t(v). Solve g(w) = 0 for w.
1
Let b(z) be the second derivative of z**5/20 - z**3/6 + 18*z. Factor b(y).
y*(y - 1)*(y + 1)
Let f(n) be the first derivative of -n**8/1680 - n**7/525 + n**5/150 + n**4/120 + n**2/2 + 7. Let g(r) be the second derivative of f(r). Solve g(m) = 0 for m.
-1, 0, 1
Let a(l) be the second derivative of -l**7/7560 - l**6/2160 - l**4/6 - 5*l. Let g(w) be the third derivative of a(w). Factor g(b).
-b*(b + 1)/3
Let j be 8/(-36) - 58/(-18). Solve l**2 - 2*l + 4*l**5 - 3*l**5 - l**4 - 2*l**5 + 3*l**j = 0 for l.
-2, -1, 0, 1
Let g(q) be the first derivative of -q**6/21 + 2*q**5/35 + q**4/7 + 12. Factor g(i).
-2*i**3*(i - 2)*(i + 1)/7
Let j(v) be the second derivative of -v**7/21 + v**5/10 - 11*v. Find g such that j(g) = 0.
-1, 0, 1
Let y(l) be the first derivative of l**5/20 - l**4/16 - l**3/12 + l**2/8 + 7. Suppose y(c) = 0. Calculate c.
-1, 0, 1
Let b(u) be the second derivative of -u**7/1400 - u**6/200 - 3*u**5/200 - u**4/40 + u**3/3 + 3*u. Let f(l) be the second derivative of b(l). Factor f(z).
-3*(z + 1)**3/5
Let u(k) be the second derivative of -2*k**7/315 + k**6/72 - k**5/180 + k**2/2 - 2*k. Let a(q) be the first derivative of u(q). Factor a(z).
-z**2*(z - 1)*(4*z - 1)/3
Let z(l) be the first derivative of 8*l**5/5 + l**4 - 20*l**3/3 + 4*l**2 + 9. Factor z(h).
4*h*(h - 1)*(h + 2)*(2*h - 1)
Let o be (-2)/13 - (7 + (-876)/117). Let -g**2 + 1/3*g**4 + o*g**3 - 1/3*g + 2/3 = 0. Calculate g.
-2, -1, 1
Let q(b) be the second derivative of b**9/18144 + b**8/5040 + b**7/5040 - b**3/6 - 2*b. Let c(t) be the second derivative of q(t). Factor c(i).
i**3*(i + 1)**2/6
Let v = -376/5 - -76. What is q in -2/5*q**3 + v*q**2 - 2/5*q + 0 = 0?
0, 1
Let z(k) be the second derivative of k**6/10 + 3*k**5/10 + k**4/4 - 6*k. Factor z(n).
3*n**2*(n + 1)**2
Let c(o) be the third derivative of o**9/120960 - o**8/40320 - o**7/5040 + 7*o**5/60 + 6*o**2. Let x(a) be the third derivative of c(a). Factor x(j).
j*(j - 2)*(j + 1)/2
Let u(n) = -n**2 - 3*n + 2. Let i be u(-3). Let d(t) be the third derivative of 0*t + 1/300*t**5 + 0 + i*t**2 - 1/30*t**3 + 0*t**4. Factor d(x).
(x - 1)*(x + 1)/5
Let q(c) be the first derivative of c**3 - 12*c - 33. Find o, given that q(o) = 0.
-2, 2
Let p = 1/115 + 227/345. Factor -2/9*v**3 + 4/9 + 0*v**2 + p*v.
-2*(v - 2)*(v + 1)**2/9
Let z(p) = p**3 + p**2 - p. Let c(k) = 7*k**3 + 8*k**2 - 14*k. Let n(q) = c(q) - 6*z(q). Let n(f) = 0. Calculate f.
-4, 0, 2
Let z(s) = -s**2. Let d(a) = -7*a**2 + 16*a - 24. Let i(u) = -d(u) + 5*z(u). Factor i(x).
2*(x - 6)*(x - 2)
Let d(j) be the second derivative of j**4/24 - j**3/6 - 4*j. Determine u, given that d(u) = 0.
0, 2
Let j(p) = p + 7. Let t be j(-5). Let s = t + 0. Factor -s*w**5 - 4*w + 4*w**3 - 4*w + 6*w.
-2*w*(w - 1)**2*(w + 1)**2
Let p be 3/6 - 15/54. Factor -2/9*b**2 + p*b + 4/9.
-2*(b - 2)*(b + 1)/9
Let d = -217 + 17361/80. Let u(r) be the second derivative of -d*r**5 + 0*r**2 - 1/48*r**4 + 0 + r + 0*r**3. Suppose u(h) = 0. What is h?
-1, 0
Let t be 1 - 13/4 - 78/(-26). Solve -1/2 + 1/4*u**2 + 1/4*u**4 + t*u - 3/4*u**3 = 0.
-1, 1, 2
Let z(a) be the second derivative of 3*a**5/20 - a**4/2 - a**3/2 + 3*a**2 - 5*a. Solve z(l) = 0 for l.
-1, 1, 2
Factor 1332*s**2 + 2*s**4 - 1306*s**2 + 0*s**4 + 12*s + 16*s**3.
2*s*(s + 1)**2*(s + 6)
Let o(w) be the second derivative of 0*w**2 - 1/40*w**5 + 0 + 1/12*w**4 - 1/12*w**3 - w. What is d in o(d) = 0?
0, 1
Let i(v) be the first derivative of -1/5*v**5 + 0*v**2 + 0*v + 1/6*v**6 - 1/2*v**4 - 3 + 0*v**3. Solve i(q) = 0 for q.
-1, 0, 2
Let t = -6732/5 + 1347. Determine d so that -t*d - 3/5*d**2 + 0 = 0.
-1, 0
Let r(u) be the first derivative of 1/10*u**5 + 0*u + 0*u**3 - 1/8*u**4 + 6 + 0*u**2. Factor r(t).
t**3*(t - 1)/2
Suppose -100 = 83*o - 103*o. What is c in -1/3*c**4 + 0*c**3 + 0 + 0*c**2 + 1/3*c**o + 0*c = 0?
0, 1
Let j(p) be the third derivative of -p**5/30 - p**4/4 - 2*p**3/3 + 16*p**2. Factor j(c).
-2*(c + 1)*(c + 2)
Let y(j) be the third derivative of 0 + 1/180*j**6 - 2/9*j**3 + 1/45*j**5 - 1/36*j**4 + 0*j + j**2. Determine u so that y(u) = 0.
-2, -1, 1
Suppose 3*d = c + 6, -2*c + 2*d + 6 = 2*c. Let h(l) be the second derivative of -1/18*l**4 + 0*l**2 + 0 - 1/9*l**c + 2*l. Determine q so that h(q) = 0.
-1, 0
Let v(y) = -2*y + 1. Let o be v(2). Let q be -3 - o/(6/7). Suppose 1/2*s**2 - q + 0*s = 0. What is s?
-1, 1
Let l(r) = r**2 - 4*r - 2. Suppose -u + 10 = u. Let v be l(u). Factor -16/11*g**2 - 8/11*g**v - 2/11 - 10/11*g.
-2*(g + 1)*(2*g + 1)**2/11
Let z = -11 - -14. Let s = -302/3 - -102. Let -5/3*g + s*g**2 + 2/3 - 1/3*g**z = 0. What is g?
1, 2
Let y(z) be the third derivative of z**9/7560 - z**8/2016 - z**7/360 + z**6/180 - z**5/30 + 4*z**2. Let a(c) be the third derivative of y(c). Factor a(n).
2*(n - 2)*(n + 1)*(4*n - 1)
Let n(j) be the second derivative of -j**4/10 + j**3/6 - 27*j. Factor n(y).
-y*(6*y - 5)/5
Let j(p) = -p**2 + p - 1. Let y(k) be the second derivative of k**4/6 - k**3/3 + 2*k**2 + 7*k. Let a = 3 - 2. Let l(u) = a*y(u) + 4*j(u). Factor l(d).
-2*d*(d - 1)
Solve 0*b**2 + 0*b**4 + 1/2*b**3 - 1/2*b**5 + 0 + 0*b = 0 for b.
-1, 0, 1
Let g(i) be the third derivative of -i**5/240 - 7*i**4/96 - 3*i**2. Let g(b) = 0. Calculate b.
-7, 0
Let p = 0 - -1. Factor -p + z**2 - 3*z**3 - z - z**3 + 5*z**3.
(z - 1)*(z + 1)**2
Let x(s) be the first derivative of s**7/1680 + s**3/3 + 3. Let z(p) be the third derivative of x(p). Solve z(g) = 0 for g.
0
Let g = 4 + -6. Let n = g - -4. Factor -4*a**2 - 2 + 3*a**n - a**3 + 3*a**2 + a.
-(a - 2)*(a - 1)*(a + 1)
Let d = -6613/3 - -2139. Let f = d + 66. Find z such that 0*z**2 - 2*z + f*z**3 + 4/3 = 0.
-2, 1
Let x(d) be the third derivative of d**5/60 + d**4/24 - d**3/3 + 22*d**2. Factor x(u).
(u - 1)*(u + 2)
Let -1/8*x**2 - 1/8*x + 0 = 0. Calculate x.
-1, 0
Let f(c) be the third derivative of c**4/24 + 3*c**3/2 - 4*c**2. Let q be f(-7). Solve -2*h + 2*h + 2*h - 2*h**q = 0 for h.
0, 1
Let c = -4 + 10. Let b(j) = j**3 + 1. Let u(m) = 7*m**3 - 5*m**2 + m + 3. Suppose -5 - 1 = 3*p. Let h(d) = c*b(d) + p*u(d). Determine y, given that h(y) = 0.
0, 1/4, 1
Let r be 1 + (1 + 5 - 3). Factor s**2 - 4 - s + 2*s + r.
s*(s + 1)
Let s(y) be the first derivative of 27*y**6/2 - 891*y**5/20 + 513*y**4/16 - 13*y**3/4 - 33*y**2/8 + 3*y/2 - 11. What is j in s(j) = 0?
-1/4, 1/3, 2
Let l be 4/6 + (-15)/9. Let q be (