0/70560 + q**8/7840 - q**6/1680 + q**4/6 + 6*q. Let w(h) be the third derivative of u(h). Factor w(p).
-3*p*(p - 1)**2*(p + 1)**2/7
Let n(g) be the first derivative of g**6/27 - 2*g**5/15 + g**4/6 - 2*g**3/27 + 11. Factor n(s).
2*s**2*(s - 1)**3/9
Let k(t) be the third derivative of -t**5/240 + t**4/32 - t**3/12 + 11*t**2. Solve k(v) = 0.
1, 2
Let g = -263 + 529/2. What is t in -1/2*t**4 + 1/2*t**3 + g*t**2 - 1 - 1/2*t = 0?
-1, 1, 2
Suppose -2/5*i**2 + 2/5*i + 4/5 = 0. What is i?
-1, 2
Let r = -10 - -15. Let a be ((-4)/(-3))/((-6)/(-9)). Factor 3*h**3 - r*h**3 + h**2 + h**a.
-2*h**2*(h - 1)
Let m(a) be the second derivative of a**8/6720 - a**7/1260 - a**6/180 + a**5/15 + 7*a**4/12 - 3*a. Let r(t) be the third derivative of m(t). Factor r(o).
(o - 2)**2*(o + 2)
Let x be (-18)/(-24) + (-5)/12. Factor -x*p - 2/3 + 1/3*p**3 + 2/3*p**2.
(p - 1)*(p + 1)*(p + 2)/3
Let m = 127 - 127. Let a(j) be the second derivative of m*j**2 + 4*j - 1/40*j**5 + 0 - 1/24*j**4 + 1/60*j**6 + 1/12*j**3. Let a(b) = 0. Calculate b.
-1, 0, 1
Let g(q) = q**4 + q**3 + q - 1. Let t(n) = -9*n**4 - 13*n**3 - 11*n + 11. Let p(l) = -22*g(l) - 2*t(l). Find m, given that p(m) = 0.
0, 1
Let w be 10/45 + 134/126. Factor 3/7*b**2 + w*b**4 - 15/7*b**3 + 0 + 3/7*b.
3*b*(b - 1)**2*(3*b + 1)/7
Let h be (-3)/(-15) + 38/(-240). Let z(d) be the third derivative of -1/12*d**3 + 2*d**2 - 1/120*d**5 + 0*d + 0 - h*d**4. Find j such that z(j) = 0.
-1
Let w(s) be the third derivative of s**7/140 - s**6/40 + 13*s**2. Solve w(x) = 0.
0, 2
Let m(k) = k**2 + 10*k + 21. Let o be m(-7). Factor o + 1/3*u**2 - 1/3*u.
u*(u - 1)/3
Suppose 0 = 5*z - 9 - 1. Let f be (5 + 1)/(z - 0). Factor 4*u**2 - 2*u - f*u**3 + 5*u**3 + 2 - 4 - 2*u**2.
2*(u - 1)*(u + 1)**2
Let b(n) be the second derivative of n**7/21 - 2*n**6/15 - n**5/10 + n**4/3 - 4*n. Solve b(g) = 0.
-1, 0, 1, 2
Let f(a) be the first derivative of a**4/4 - 5*a**3/3 + 2*a**2 + 2*a - 11. Let l be f(4). Let 0*n**l - 2/3*n + 2/3*n**3 - 1/3*n**4 + 1/3 = 0. What is n?
-1, 1
Suppose 5*z + 3*m - 13 = -m, z + 4 = -3*m. Let v(i) be the first derivative of 2/15*i**3 - 1/5*i + 0*i**2 - 1/25*i**z - 3 + 0*i**4. Let v(g) = 0. Calculate g.
-1, 1
Let g = -6 + 11. Suppose g*y - 20 = 3*s, -s = 5*y - 0*y - 20. Solve s*k + 0 - 1/3*k**3 - 1/3*k**2 = 0 for k.
-1, 0
Factor 5/2*y + 1 + 1/2*y**3 + 2*y**2.
(y + 1)**2*(y + 2)/2
Let t(h) be the third derivative of -1/1440*h**6 - 1/240*h**5 - 1/3*h**3 - h**2 - 1/96*h**4 + 0*h + 0. Let q(r) be the first derivative of t(r). Factor q(x).
-(x + 1)**2/4
Suppose -5*g - 3*h = -5, -3*h = -5*g + h + 40. Let -81/2*b**g - 96*b + 108*b**2 + 0*b**3 + 24 = 0. Calculate b.
-2, 2/3
Let v = -139 + 141. Solve -3/4*h**v + 1/2*h**3 + 0*h + 1/4 = 0 for h.
-1/2, 1
Let s = -15 + 27. Suppose 0 = j + 3*f + s, j - 12 = f + 2*f. Solve j - 1/3*w**3 - 1/3*w**2 + 1/3*w**4 + 1/3*w = 0 for w.
-1, 0, 1
Let n(k) be the first derivative of 3*k**5 + 5*k**4/2 - 5*k**3 - 5*k**2 + 2. Factor n(z).
5*z*(z - 1)*(z + 1)*(3*z + 2)
Let y(p) = -3*p**2 - 8*p + 13. Let f(r) = -4*r**2 - 8*r + 14. Let k(c) = -5*f(c) + 6*y(c). Let k(x) = 0. What is x?
2
Suppose -3*o + 4*q = -24, 2*q + 10 = -0*o + o. Let k = o - 1. Let -k*z - z**5 + 3*z - z**4 = 0. What is z?
-1, 0
Let l(y) be the second derivative of -y**7/105 + y**6/60 + 3*y**2/2 + 3*y. Let j(b) be the first derivative of l(b). Factor j(q).
-2*q**3*(q - 1)
Let h(f) = 12*f**2 - 18*f + 18. Let k(b) = b**2 - b + 1. Let u(t) = -h(t) + 10*k(t). Suppose u(i) = 0. What is i?
2
Let v(d) be the first derivative of d**4/8 - d**3/2 - d**2/4 + 3*d/2 + 10. Determine z so that v(z) = 0.
-1, 1, 3
Suppose 0 - 10*x - 3*x**5 + 20*x**2 + 10*x**4 - 20*x**3 + x**5 + 2 = 0. Calculate x.
1
Let 4/7*u**2 + 2/7*u**3 + 2/7*u + 0 = 0. Calculate u.
-1, 0
Let k(b) = -b**3 + 2*b**2 - 3*b. Let g be k(2). Let p = 6 + g. Factor 4/5*d**2 + 2/5*d**3 + p + 2/5*d.
2*d*(d + 1)**2/5
Let v(t) be the second derivative of 1/18*t**4 - 1/9*t**3 + 1/30*t**5 + 2*t - 1/3*t**2 + 0. Factor v(g).
2*(g - 1)*(g + 1)**2/3
Suppose 5*d - g = -2*g - 12, d - 4*g - 6 = 0. Let p = d + 4. Factor 1/2*i**3 + i**p + 0 + 1/2*i.
i*(i + 1)**2/2
Let z(s) be the first derivative of -2*s**5/95 + 2*s**3/57 + 1. Determine k so that z(k) = 0.
-1, 0, 1
Let z(x) be the first derivative of x**6/360 - x**5/120 - 2*x**3/3 + 2. Let j(i) be the third derivative of z(i). Find s, given that j(s) = 0.
0, 1
Suppose 0 = -40*s + 44*s. Factor 0 - 3/5*l**3 + 0*l**2 + s*l.
-3*l**3/5
Find q, given that 2/3 - 2*q + 4/3*q**2 = 0.
1/2, 1
Let a be 2 + 0 + 0 + 0. Let m be 3/(3/a - 0). Factor -i + 5*i + 8 + 4*i + m*i**2.
2*(i + 2)**2
Let n = 55 - 50. Let i(x) be the second derivative of -4/3*x**4 - x - 1/2*x**n + 2*x**2 + 0 - 1/3*x**3. Let i(c) = 0. Calculate c.
-1, 2/5
Let w(u) be the second derivative of 2*u**6/5 + 3*u**5/5 - 3*u**4/4 - u**3 + 3*u**2/2 - 8*u. Solve w(n) = 0.
-1, 1/2
Let n(q) be the second derivative of -q**9/9072 - q**8/2520 + q**6/540 + q**5/360 - 5*q**3/6 - 4*q. Let r(b) be the second derivative of n(b). Solve r(a) = 0.
-1, 0, 1
Determine z, given that 8*z + 12 - 4*z**2 + 0*z**2 + 0*z = 0.
-1, 3
Factor 8*i + 3*i**3 - 9*i**3 + 0*i**4 + 18*i**4 - 16*i**2.
2*i*(i + 1)*(3*i - 2)**2
Let 0 + 2/7*r**2 + 0*r - 2/7*r**3 = 0. What is r?
0, 1
Let w(k) be the second derivative of -k**7/630 - k**6/120 - 3*k**5/160 - 5*k**4/12 + 4*k. Let m(b) be the third derivative of w(b). Factor m(u).
-(4*u + 3)**2/4
What is i in -6*i - 6 - 3/2*i**2 = 0?
-2
Let u(k) be the third derivative of 1/360*k**6 + 0 + 1/6*k**3 - 1/24*k**4 + 0*k + 0*k**5 - k**2. Let z(r) be the first derivative of u(r). Factor z(v).
(v - 1)*(v + 1)
Let b(q) be the first derivative of -q**6/120 - 3*q**5/40 - q**4/4 - q**3 - 3. Let a(k) be the third derivative of b(k). Factor a(v).
-3*(v + 1)*(v + 2)
Let z(f) = -22*f + 8*f**3 + 18*f**3 - 6*f**3 - 16 + 2*f**3 - 16*f**2. Let p(n) = 7*n**3 - 5*n**2 - 7*n - 5. Let d(g) = 16*p(g) - 5*z(g). What is l in d(l) = 0?
-1, 0, 1
What is x in 0*x + 0 - 1/2*x**4 + 0*x**3 + 0*x**2 = 0?
0
Let h(q) be the first derivative of 9*q**6/40 - 4*q**5/5 + 5*q**4/8 + q**3 + q**2/2 - 7. Let d(u) be the second derivative of h(u). Find r, given that d(r) = 0.
-2/9, 1
Let u = -667 - -670. Factor -27/5*m**2 - 6/5 + 3*m**u - 3/5*m**4 + 21/5*m.
-3*(m - 2)*(m - 1)**3/5
Factor 6*i + 0 + 6 + 3*i**2 - 15*i.
3*(i - 2)*(i - 1)
Let k(y) be the second derivative of -2*y + 0 + 2/9*y**3 + 1/6*y**4 + 0*y**2. Factor k(x).
2*x*(3*x + 2)/3
Let k(w) be the first derivative of w**7/35 + 9*w**6/40 + w**5/20 - 21*w**4/8 + 9*w**3/2 - 3*w**2/2 + 1. Let q(t) be the second derivative of k(t). Factor q(v).
3*(v - 1)*(v + 3)**2*(2*v - 1)
Let g be -2 - (-2 + 2)/(-3). Let k(u) = -2. Let j be 76/24 + (-1)/6. Let x(n) = -n**3 + n**2 - 3. Let y(c) = g*x(c) + j*k(c). Suppose y(v) = 0. What is v?
0, 1
Let s = 6 - 4. Let t(z) be the first derivative of -3*z**4/2 + z**2 - 2*z + 4. Let h(y) = -y**5 - 19*y**3 + 6*y - 7. Let q(c) = s*h(c) - 7*t(c). Factor q(r).
-2*r*(r - 1)**2*(r + 1)**2
Let k(y) be the second derivative of -9*y**6/16 + 51*y**5/160 + 3*y**4/4 + y**3/4 + 16*y. Solve k(h) = 0.
-2/5, -2/9, 0, 1
Let x(h) be the third derivative of 1/540*h**6 + 8*h**2 + 1/108*h**4 + 0*h**3 + 0*h + 0 + 1/135*h**5. Solve x(g) = 0 for g.
-1, 0
Suppose 9 = 3*o - 6. Let v(g) = -2*g + 15. Let b be v(6). Find i such that 2*i**b + o*i**2 + 0*i**3 - i**2 = 0.
-2, 0
Factor 15*w**2 + w**3 - 3*w**3 - 8 - 9*w**2.
-2*(w - 2)**2*(w + 1)
Let q(x) be the first derivative of -x**3/33 + 6*x**2/11 - 36*x/11 + 9. Find g such that q(g) = 0.
6
Let u(j) = 2*j**3 + 34*j**2 - 90*j + 62. Let c(b) = b**3 + 23*b**2 - 60*b + 41. Let l(k) = 8*c(k) - 5*u(k). Factor l(a).
-2*(a - 3)**2*(a - 1)
Suppose 0 = 2*t + 6 - 14. Let z(n) = -n**2 + n + 1. Let i(b) = 5*b**2 - 4*b - 8. Let h(a) = t*z(a) + i(a). Suppose h(y) = 0. Calculate y.
-2, 2
Let h(i) = -i**2 - 3*i + 1. Let u(n) = n**2 - n + 1. Let b(v) = h(v) - u(v). Let b(a) = 0. What is a?
-1, 0
Let 6*d**4 - 7/3*d + 70/3*d**3 - 21*d**5 + 2/3 - 20/3*d**2 = 0. Calculate d.
-1, -1/3, 2/7, 1/3, 1
Let l(n) be the first derivative of 2*n**5/15 - n**4/6 - 2*n**3/3 + n**2/3 + 4*n/3 + 7. Find a, given that l(a) = 0.
-1, 1, 2
Let f(a) be the first derivative of 5*a**6/18 - 2*a**5 + 10*a**4/3 + 10*a**3/3 - 15*a**2/2 + 13. Solve f(j) = 0 for j.
-1, 0, 1, 3
Let g = 34 - 440/13. Fa