d**3/3 - 120*d**2 - 72*d - 64. Factor f(h).
-2*(h + 1)**3*(h + 6)**2
Let o(s) be the second derivative of -s**9/75600 - s**8/16800 + s**6/1800 + s**5/600 + s**4/4 + 3*s. Let m(i) be the third derivative of o(i). Factor m(d).
-(d - 1)*(d + 1)**3/5
Let f(v) be the first derivative of v**6/54 - v**4/12 + 2*v**3/27 + 20. Factor f(c).
c**2*(c - 1)**2*(c + 2)/9
Suppose -2*c - 7 = -0*t + t, -3*c - 5*t + 7 = 0. Let r = 8 + c. Solve r*o + 0*o**2 - 2 - o**2 + o = 0.
1, 2
Factor 30*n + 20 - 3*n**4 + 25 + 4*n**4 - 6*n**4 - 30*n**3 - 40*n**2.
-5*(n - 1)*(n + 1)*(n + 3)**2
Let i(g) be the second derivative of -g**5/7 - 23*g**4/84 - g**3/42 + g**2/7 + 9*g. Solve i(t) = 0 for t.
-1, -2/5, 1/4
Let a(g) = 10*g**3 - 7*g**2 - 3*g + 7. Let f(x) = -3*x**3 + 2*x**2 + x - 2. Let s(v) = -4*a(v) - 14*f(v). Let s(q) = 0. Calculate q.
-1, 0, 1
Suppose -4*y = -2*y - 4. Suppose -3*p - 4*i = -10, y*p = p - 4*i + 6. Factor 1/2*r**p + 0 + 1/2*r.
r*(r + 1)/2
Let j(x) be the second derivative of -7*x**4/48 + 3*x**3/8 - x**2/4 - 2*x. Determine f, given that j(f) = 0.
2/7, 1
Let s(j) be the first derivative of -4/3*j**3 + 1/7*j**4 + 30/7*j**2 - 7 - 36/7*j. Factor s(i).
4*(i - 3)**2*(i - 1)/7
Let w = -106 - -744/7. Solve 0 + w*j**3 + 0*j - 2/7*j**5 + 0*j**2 + 0*j**4 = 0.
-1, 0, 1
Let r(z) be the third derivative of z**7/525 - z**6/150 - z**5/50 + z**4/15 + 4*z**3/15 + 13*z**2. Factor r(l).
2*(l - 2)**2*(l + 1)**2/5
Let n = 1363/60 + -68/3. Let c(b) be the first derivative of 0*b**2 - 1/6*b**3 + n*b**5 + 1/4*b + 0*b**4 - 1. Solve c(x) = 0.
-1, 1
Let v(j) be the second derivative of j**5/80 - j**3/24 + 5*j. Factor v(o).
o*(o - 1)*(o + 1)/4
Let l(c) be the third derivative of -c**8/2520 - c**7/1260 - 2*c**3/3 + c**2. Let m(x) be the first derivative of l(x). Solve m(a) = 0 for a.
-1, 0
Let h(o) = -o**4 - o**3 + o**2 - o + 1. Let x(n) = -3*n**5 - 11*n**4 - 11*n**3 + 5*n**2 + 16*n + 5. Let g(z) = -h(z) - x(z). Let g(c) = 0. What is c?
-2, -1, 1
Let o(i) be the first derivative of -i**4/32 - i**3/8 + 26. Factor o(y).
-y**2*(y + 3)/8
Let j = 1659 - 1659. Suppose 2/9*o**3 + j + 0*o + 2/9*o**2 = 0. Calculate o.
-1, 0
Determine r, given that -8*r**3 - 4*r**4 + 10*r - 2*r - r**2 + 5*r**2 + 0*r**4 = 0.
-2, -1, 0, 1
Suppose 3*m - 12 = -0*m. Suppose 5*l = -2*a + 14, -3*l + 7 = -2*l - a. Determine w, given that -2*w**2 - 3*w**m + 5*w**4 + 0*w**2 + 0*w**l = 0.
-1, 0, 1
Let o be 1 - -1 - (11 - 2). Let w = -2 - o. Factor -1 + 2*p**3 - 3*p**4 + p**2 - p**w + p**2 - p + 2*p**4.
-(p - 1)**2*(p + 1)**3
Let v = 52 + -37. Suppose 0 = -0*w - 5*w + v. Let -y**w + 3*y**3 + 2*y + 0*y**2 + 4*y**2 = 0. Calculate y.
-1, 0
Let u = -2/3 + 7/6. Let y be 6/(-21) + 11/14. What is k in u - k**3 - y*k**2 + k = 0?
-1, -1/2, 1
Let m(r) be the third derivative of -r**10/680400 - r**9/136080 - r**8/90720 - r**5/60 + r**2. Let k(d) be the third derivative of m(d). Factor k(s).
-2*s**2*(s + 1)**2/9
Let r(o) be the second derivative of -o**6/60 + 3*o**2/2 - 3*o. Let z(t) be the first derivative of r(t). Factor z(q).
-2*q**3
Suppose 9 = 3*p + 3. Solve -s**3 - 3*s - p*s**3 + 5*s + s**3 = 0 for s.
-1, 0, 1
Let d(b) be the second derivative of -b**9/5040 - b**8/1120 - b**7/840 - b**4/6 + 7*b. Let u(a) be the third derivative of d(a). Factor u(q).
-3*q**2*(q + 1)**2
Let z(j) be the second derivative of -j**6/165 + j**5/22 - j**4/22 - 3*j**3/11 - 27*j. Factor z(v).
-2*v*(v - 3)**2*(v + 1)/11
Suppose 5*s = 23 - 8. Suppose -24*d**s - 91*d + 27 + 19*d + 3*d**4 + 41*d**2 + 25*d**2 = 0. What is d?
1, 3
Let f be 230/100 - (-5)/(-10). Factor -3/5 - f*d**2 - 9/5*d - 3/5*d**3.
-3*(d + 1)**3/5
Let a(n) be the first derivative of 7*n**4/10 - 6*n**3/5 + 2*n**2/5 + 40. Suppose a(o) = 0. Calculate o.
0, 2/7, 1
Let v = -2 + 7. Let b(m) be the third derivative of 0*m**3 - 3*m**2 - 1/15*m**v + 1/60*m**6 + 0 + 0*m + 1/12*m**4. Determine w, given that b(w) = 0.
0, 1
Let c be ((-6)/3*1)/(-1). Factor 0*a**3 - 4 - c*a**3 + 0*a + 2*a + 4*a**2.
-2*(a - 2)*(a - 1)*(a + 1)
Let b = 5 - 3. Solve 34*c**2 - 6*c + 2*c**3 - 3 - 7*c**b - 24*c**4 + 4*c**3 = 0 for c.
-1, -1/4, 1/2, 1
Suppose x + 14*x**4 - 9*x + 18*x**3 - 12*x**2 - 12*x**2 = 0. What is x?
-2, -2/7, 0, 1
Let c = 632 + -4416/7. Solve c*p**2 + 2/7 - 10/7*p = 0.
1/4, 1
Suppose 0*q = 2*q - 12. Let x(a) = a**4 + 4*a**3 - 6*a**2 + a - 5. Let c(b) = -b**4 - 5*b**3 + 7*b**2 - b + 6. Let n(k) = q*x(k) + 5*c(k). Factor n(l).
l*(l - 1)**2*(l + 1)
Let o(w) be the first derivative of 8*w**5/45 - 5*w**4/18 - 14*w**3/27 + 2*w**2/9 - 10. Suppose o(y) = 0. Calculate y.
-1, 0, 1/4, 2
Let j(m) be the third derivative of -m**8/16800 - m**7/6300 - m**4/24 + 2*m**2. Let p(w) be the second derivative of j(w). What is t in p(t) = 0?
-1, 0
Suppose -7 = -5*u - 2. Let w(i) = 5*i**3 + 11*i**2 + 8*i - 2. Let d(k) = k**3 + k**2 + k - 1. Let b(f) = u*w(f) - 2*d(f). Find a, given that b(a) = 0.
-2, -1, 0
Suppose 45*h = 37*h. Factor -1/3*g**3 + 1/3*g + 0 + h*g**2.
-g*(g - 1)*(g + 1)/3
Let v(m) = 16*m + 83. Let y be v(-5). Solve 4/5*t**5 + 4/5*t + 0*t**4 + 0*t**2 - 8/5*t**y + 0 = 0 for t.
-1, 0, 1
Let g(t) = 12*t**4 - 13*t**3 + 3*t**2 - 3*t - 5. Let v(q) = -q**4 + q**3 - q**2 + q + 1. Let k(w) = g(w) + 6*v(w). Factor k(x).
(x - 1)**2*(2*x + 1)*(3*x + 1)
Let c(o) be the third derivative of -o**8/30240 + o**6/1080 - o**5/20 + 3*o**2. Let l(r) be the third derivative of c(r). Factor l(i).
-2*(i - 1)*(i + 1)/3
Let d(a) be the first derivative of -a**3/12 + a**2/4 - a/4 + 8. Factor d(z).
-(z - 1)**2/4
Let m(b) be the first derivative of 2*b**5/85 - 2*b**3/17 + 2*b**2/17 - 8. Find g such that m(g) = 0.
-2, 0, 1
Let y(g) be the third derivative of 0*g + 0*g**3 + 1/630*g**7 + 0*g**4 + 0*g**5 - 2*g**2 + 0 + 1/1008*g**8 - 1/180*g**6. Find a, given that y(a) = 0.
-2, 0, 1
Suppose -3*z + d + 6 = 0, 3*d - 3 = 4*z - 16. Let 2*k + z + 4 + k**2 - 5 = 0. What is k?
-2, 0
Let c(k) be the third derivative of 1/270*k**5 - 1/54*k**4 + 0*k**3 + 0 + 1/540*k**6 + 0*k + 2*k**2. Find t such that c(t) = 0.
-2, 0, 1
Let c = 5 + -3. Solve 0*s**2 + 2*s**2 - 3*s**3 + 2*s**3 - 3*s**c = 0 for s.
-1, 0
Let v(p) be the second derivative of -1/147*p**7 + 5/21*p**3 - 2/35*p**5 - 2/7*p**2 + 4/105*p**6 + 0 + 3*p - 1/21*p**4. Let v(n) = 0. What is n?
-1, 1, 2
Find o such that 3/4*o**3 + 1/4*o**2 - 3/4*o - 1/4 = 0.
-1, -1/3, 1
Let c(y) be the first derivative of y**3/12 + y**2/4 - 3*y/4 - 6. Factor c(u).
(u - 1)*(u + 3)/4
Let b(u) be the second derivative of 4*u**7/63 - u**6/15 - u**5/30 - 5*u. Find y such that b(y) = 0.
-1/4, 0, 1
Suppose 40 = 3*p + 5*m, 4*p - m - 2 = 13. Let q(j) be the first derivative of -1 - 1/2*j**4 + j**2 - 2/3*j**3 + 0*j + 2/5*j**p. Find g such that q(g) = 0.
-1, 0, 1
Let h(r) be the second derivative of 0 - 1/90*r**6 - 1/60*r**5 + 1/36*r**4 - r + 1/18*r**3 + 0*r**2. Find j such that h(j) = 0.
-1, 0, 1
Let r(l) be the second derivative of l**4/3 - 10*l**3/3 + 12*l**2 + 22*l. Find s such that r(s) = 0.
2, 3
Let d(l) = 0*l + l - 3*l**2 - l - 3*l. Let k(n) = n**2 + n. Let u(y) = -4*d(y) - 15*k(y). Let u(g) = 0. What is g?
-1, 0
Let c(a) be the third derivative of 22/175*a**7 + 0*a + 3/140*a**8 + 2/15*a**3 + 3/10*a**4 - 5*a**2 + 2/5*a**5 + 0 + 23/75*a**6. Factor c(z).
4*(z + 1)**3*(3*z + 1)**2/5
Let j be (-96)/(-10) - (-15)/(-25). Suppose -5*m + j + 1 = 0. Factor 2/7 + 2/7*o**m - 4/7*o.
2*(o - 1)**2/7
Let g(l) = -14*l**4 - 7*l**3 + 6*l**2 - l + 4. Let o(i) = 16*i**4 + 8*i**3 - 6*i**2 + 2*i - 5. Let q(b) = -5*g(b) - 4*o(b). Solve q(x) = 0.
-1, -1/2, 0, 1
Let p(g) be the second derivative of -g**5/20 + 3*g**4/4 - 5*g**3/2 - 25*g**2/2 + 29*g. Determine v so that p(v) = 0.
-1, 5
Factor -2 - 9/2*h - h**2.
-(h + 4)*(2*h + 1)/2
Let 0*i**3 + 5*i**3 + 5*i**3 - 3*i**2 - 7*i**3 = 0. Calculate i.
0, 1
Let n(f) be the second derivative of -f**7/84 + f**6/60 + f**5/20 + 2*f - 3. Factor n(v).
-v**3*(v - 2)*(v + 1)/2
Let t(k) be the second derivative of -k**9/1008 + k**8/140 - k**7/70 + k**3/6 - 6*k. Let q(b) be the second derivative of t(b). Factor q(i).
-3*i**3*(i - 2)**2
Let r(z) be the second derivative of -4*z**6/5 + z**5/10 + 17*z**4/12 - 4*z**3/3 + z**2/2 - 14*z. Determine t so that r(t) = 0.
-1, 1/4, 1/3, 1/2
Let c = 32 - 37. Let t = 9 + c. Factor 0 + 0*r - 1/3*r**t - 1/3*r**2 - 2/3*r**3.
-r**2*(r + 1)**2/3
Let u(r) = -6*r**2 + 20*r + 72. Let l(p) = -8*p**