 1/2*b**3 - 1/4 + x*b.
(b + 1)**2*(2*b - 1)/4
Let q(m) be the second derivative of -m**4/6 - 4*m**3/3 - 3*m**2 + 4*m. Suppose q(a) = 0. Calculate a.
-3, -1
Solve -1/6*p + 0 - 1/6*p**2 + 1/6*p**3 + 1/6*p**4 = 0.
-1, 0, 1
Let l = 36 + -71/2. Let 2*t**3 + 9/2*t**2 + l + 3*t = 0. Calculate t.
-1, -1/4
Let b be 4/6 - (-4)/3. Suppose h - 4*z = -9, -3*z - b = -11. Factor 14*v**4 + 8*v**2 - 2 + 2*v**5 + 2 + 12*v**h + 2*v - 6*v**4.
2*v*(v + 1)**4
Let m(u) be the second derivative of -8*u - 1/80*u**5 + 1/48*u**4 + 0*u**3 + 0 + 0*u**2. Let m(r) = 0. Calculate r.
0, 1
Let m = -1229/6 + 205. Suppose 5*o - 13 + 3 = 0. Solve m*g**3 + 0*g - 1/6*g**o + 0 = 0 for g.
0, 1
Let o = -73 - -78. Determine a, given that 0*a + 1/5*a**2 + 0 + 4/5*a**3 + a**4 + 2/5*a**o = 0.
-1, -1/2, 0
Factor -7/2*f**4 - 1/2*f**5 - 8*f - 25/2*f**2 - 2 - 19/2*f**3.
-(f + 1)**3*(f + 2)**2/2
Let l(g) = g**2 - 3*g - 4. Let h(n) = n**2 - 4*n - 5. Let u(j) = -4*h(j) + 5*l(j). Factor u(i).
i*(i + 1)
Factor -12*k**2 + 10/3*k**3 - 1/3*k**4 + 56/3*k - 32/3.
-(k - 4)*(k - 2)**3/3
Let r(z) be the first derivative of 1 - 4*z + 5/3*z**6 - 20/3*z**3 + 2*z**4 - 9*z**2 + 24/5*z**5. Solve r(o) = 0.
-1, -2/5, 1
Let x = -15/7 + 187/84. Let o(y) be the third derivative of -3*y**2 - 1/15*y**5 - 1/24*y**3 + 0 - x*y**4 + 0*y. Factor o(q).
-(4*q + 1)**2/4
Let g be (7 - 1)/((-6)/(-8)). Suppose g*s = 3*s. Factor 3*t + 6*t**2 - 9*t**3 - 6*t**2 - 6*t**4 + s*t.
-3*t*(t + 1)**2*(2*t - 1)
Let w be (1 + -4)/(6 + -7). Factor i**3 + 29*i**2 - 2 + 11*i - 42*i**2 + 3*i**w.
(i - 2)*(i - 1)*(4*i - 1)
Let x(y) = -y**3 + 17*y**2 + 3. Let m be x(17). Suppose 0 = 3*i + m - 9. Suppose i*g**4 + 4/5*g**2 + 0 + 0*g - 14/5*g**3 = 0. What is g?
0, 2/5, 1
Let z(y) be the first derivative of -y**4/2 + 10*y**3/3 - 8*y**2 + 8*y - 22. Find s such that z(s) = 0.
1, 2
Let r(g) be the third derivative of -g**5/150 + g**4/24 - g**3/15 + 2*g**2. Factor r(p).
-(p - 2)*(2*p - 1)/5
Let u(s) be the first derivative of s**4/6 - 8*s**3/9 + 5*s**2/3 - 4*s/3 + 3. Find c such that u(c) = 0.
1, 2
Let t(p) be the second derivative of -p**6/10 + 3*p**5/5 + p**4/4 - 2*p**3 + 3*p - 3. Factor t(w).
-3*w*(w - 4)*(w - 1)*(w + 1)
Let g(w) be the third derivative of -w**6/24 - 3*w**5/4 - 5*w**4 - 40*w**3/3 + 28*w**2. Factor g(f).
-5*(f + 1)*(f + 4)**2
Let z(r) = 4*r + 8. Let b be z(-6). Let t = -11 - b. Find l, given that 2*l**2 + t*l**5 - 2*l**2 - 6*l**5 = 0.
0
Let c(z) be the third derivative of z**5/15 + 5*z**4/12 + 2*z**3/3 + 15*z**2. Let c(r) = 0. What is r?
-2, -1/2
Suppose -18 = i + 6*d - 2*d, 2 = -4*i - 2*d. Let u = 1 - -5. Factor -a**i - u*a**2 + a + 6*a**2.
-a*(a - 1)
Suppose 2*a = 5*z + 29, a - 1 = 2*z + 13. Let n be ((-8)/a)/((-10)/3). Solve n*s**4 - 1/5*s**2 + 0 - 1/5*s**3 + 1/5*s = 0.
-1, 0, 1
Let s(m) be the third derivative of m**6/360 + m**5/60 + 5*m**3/6 - 3*m**2. Let b(n) be the first derivative of s(n). Solve b(o) = 0 for o.
-2, 0
Let z(k) be the first derivative of k**4/4 - k**3/6 + 2*k + 6. Let t(m) be the first derivative of z(m). Suppose t(w) = 0. What is w?
0, 1/3
Let q(u) = -u**2 - 5*u - 3. Let s be q(-3). Let v be (2/2)/(1/s). Suppose 3/5*t**5 + 6/5*t + 27/5*t**3 - 21/5*t**2 + 0 - v*t**4 = 0. What is t?
0, 1, 2
Let h = -14 - -16. Let a be 3*(-1)/9*-1. Factor 0 + a*y + y**h - 4/3*y**3.
-y*(y - 1)*(4*y + 1)/3
Factor -3/4*o**3 + 0 + 3/4*o + 0*o**2.
-3*o*(o - 1)*(o + 1)/4
Factor -5*c**3 + 2 - 2*c**2 + 4*c**3 + 5*c - 4*c**3.
-(c - 1)*(c + 1)*(5*c + 2)
Suppose 5*q = 5, -t + 5*q - 8 = 2*t. Let f(n) be the first derivative of -n**3/3 - 2*n**2 + 5*n - 3. Let s(d) = d - 1. Let x(k) = t*f(k) - 5*s(k). Factor x(g).
g*(g - 1)
Let f(p) be the second derivative of -p**4/30 - p**3/5 - 2*p**2/5 + 29*p. Find v, given that f(v) = 0.
-2, -1
Factor 0 - 3/2*f**4 + 1/2*f**3 - f + 3/2*f**2 + 1/2*f**5.
f*(f - 2)*(f - 1)**2*(f + 1)/2
Let q(f) be the first derivative of f**4/3 + 8*f**3/9 - 10*f**2/3 - 8*f - 12. Factor q(r).
4*(r - 2)*(r + 1)*(r + 3)/3
Let v = -412289/270 + 1527. Let r(u) be the third derivative of 0*u - u**2 + 1/27*u**3 + v*u**5 + 1/54*u**4 + 0. Find l such that r(l) = 0.
-1
Let q(m) be the first derivative of 3*m**5/25 + 3*m**4/20 - m**3/5 - 3*m**2/10 + 1. Factor q(x).
3*x*(x - 1)*(x + 1)**2/5
Let t(y) be the second derivative of 1/720*y**6 + 1/2*y**3 + 0 + 1/48*y**4 + 1/120*y**5 + 0*y**2 - 2*y. Let m(v) be the second derivative of t(v). Factor m(i).
(i + 1)**2/2
Let r(i) be the first derivative of -i**6/2 + 9*i**5/5 - 3*i**4/2 - 2*i**3 + 9*i**2/2 - 3*i - 4. Find s, given that r(s) = 0.
-1, 1
Let v = 5 + -1/2. Solve 9/2*r**2 + 3/2 + v*r + 3/2*r**3 = 0 for r.
-1
Let s(v) be the second derivative of -1/75*v**6 + 0*v**2 + 0*v**5 + 0 - 2*v + 1/30*v**4 + 0*v**3. Find m, given that s(m) = 0.
-1, 0, 1
Let g(n) = -5*n + 15. Let j be g(6). Let i be -4 + 2/j*-57. Factor -6*c**2 + 22/5*c**3 + i*c - 6/5*c**4 - 4/5.
-2*(c - 1)**3*(3*c - 2)/5
Let p = 61/5 + -11. Factor -p*i**4 + 12/5*i - 1/5*i**5 - 11/5*i**3 + 8/5 - 2/5*i**2.
-(i - 1)*(i + 1)*(i + 2)**3/5
Suppose -8/7*o + 16/7*o**3 + 12/7 - 20/7*o**2 = 0. What is o?
-3/4, 1
Let s = 4/15 - -7/30. Factor 0 - 1/4*v**2 + s*v.
-v*(v - 2)/4
Find i such that -8/11*i + 0 - 2/11*i**2 = 0.
-4, 0
Let q(z) be the second derivative of 5*z**4/24 - 5*z**3/4 + 5*z**2/2 + 19*z. Find c such that q(c) = 0.
1, 2
Let c = -11 + 18. Let u = -3 + c. Determine n, given that 2 + u*n - 6*n**2 - 4*n - 4*n**3 = 0.
-1, 1/2
Let p(j) = 2*j - j**2 - 3*j - 2 + 3*j + 3*j**2. Let v(a) = -4*a**2 - 3*a + 5. Let d(l) = 5*p(l) + 2*v(l). Let d(q) = 0. What is q?
-2, 0
Let s(n) be the second derivative of 1/6*n**3 - 1/6*n**4 + 3*n + 1/20*n**5 + 0*n**2 + 0. Factor s(y).
y*(y - 1)**2
Let v(b) be the third derivative of -1/35*b**6 - 1/21*b**4 - 11/210*b**5 - 1/42*b**3 + 0*b - 3/490*b**7 - 2*b**2 + 0. Determine h, given that v(h) = 0.
-1, -1/3
Let h(w) be the third derivative of 0 + 1/840*w**7 + 0*w**3 - 1/1344*w**8 - 1/240*w**5 + 1/480*w**6 + 0*w + 5*w**2 + 0*w**4. Solve h(p) = 0.
-1, 0, 1
Let c(r) be the third derivative of 0*r - 2/15*r**3 + 1/60*r**4 - 2*r**2 + 1/150*r**5 + 0. Factor c(z).
2*(z - 1)*(z + 2)/5
Let c(r) be the second derivative of -r**5/420 + r**4/84 + r**3/14 + r**2 - 5*r. Let q(b) be the first derivative of c(b). What is x in q(x) = 0?
-1, 3
Let n(q) = q**2 - 9*q + 16. Let b be n(7). Let w(f) be the second derivative of 2/3*f**4 - 2/3*f**2 - 1/3*f**3 + 0 - 7/30*f**5 + b*f. Factor w(z).
-2*(z - 1)**2*(7*z + 2)/3
Let x = 14 - 10. Find c, given that 3 - 10 - c**3 + 3*c**3 - x*c**2 - 14*c - 1 = 0.
-1, 4
Let j be 6/12 + 3 + -2. What is d in 0*d**2 - j*d**3 + 3/2*d + 0 = 0?
-1, 0, 1
Suppose 6 = -4*u - 10. Let h = u - -4. Determine n so that 1/4*n**3 - 1/4*n**2 + 1/4*n**4 + 0 + h*n - 1/4*n**5 = 0.
-1, 0, 1
Find l such that -3*l**4 + 12*l + 8 - 8 - 9*l**3 = 0.
-2, 0, 1
Let l be (78/4)/((-10)/(-4)). Let s = -253/35 + l. Solve 2/7*a**2 + s*a + 2/7 = 0 for a.
-1
Factor -196 - 5*z**2 - 65*z - 2*z - 124 - 13*z.
-5*(z + 8)**2
Let t(u) be the first derivative of -2*u**3/3 + 4*u**2 - 8*u - 45. Factor t(v).
-2*(v - 2)**2
Let r(x) be the second derivative of -x**7/14 + 11*x**6/10 - 69*x**5/10 + 45*x**4/2 - 81*x**3/2 + 81*x**2/2 - 18*x. Factor r(p).
-3*(p - 3)**3*(p - 1)**2
Suppose -31*u + 60 = -16*u. Determine w so that 8/9 + 8/3*w + 4/3*w**3 + 26/9*w**2 + 2/9*w**u = 0.
-2, -1
Let l be (-3 - -6)/((-3)/(-4)). Suppose l*o + 6 = o - 3*s, -o = -s - 6. Determine v, given that 1/2*v**4 + 0 + 2*v + 5/2*v**3 + 4*v**o = 0.
-2, -1, 0
Let o(s) be the third derivative of -s**6/120 - s**5/30 - s**4/24 + 9*s**2. Factor o(d).
-d*(d + 1)**2
Suppose 0 = -3*l + 4*p - 0 + 12, 4*p - 4 = -l. Factor 0*w**3 + 0*w - 2/15*w**2 + 2/15*w**l + 0.
2*w**2*(w - 1)*(w + 1)/15
Let r(b) be the third derivative of 1/3*b**3 + 0 - 1/1080*b**6 + 0*b + 0*b**5 + 1/72*b**4 - b**2. Let v(f) be the first derivative of r(f). Factor v(n).
-(n - 1)*(n + 1)/3
Let v(d) = 9*d**2 - 2*d - 7. Let k(y) = 17*y**2 - 4*y - 13. Let m(a) = 6*k(a) - 11*v(a). Factor m(b).
(b - 1)*(3*b + 1)
Factor 4*x + 11*x**2 + 8*x**2 - 18*x**2 + 4.
(x + 2)**2
Factor 0 + 3/4*g**5 + 3/2*g**3 - 9/4*g**4 + 0*g**2 + 0*g.
3*g**3*(g - 2)*(g - 1)/4
Let f(p) be the second derivative of p**6/50 - 9*p**5/100 + p**4/10 - 9*p. Factor f(d).
3*d**2*(d - 2)*(d - 1)/5
Factor -28*l**3 - 4 - 16*l**2 - 8*l**4 - 20*l**2 - 20*l + 0.
-4*(l + 1