3 - 8/9*j = 0. What is j?
-2, 0
Let g(j) = j - 6. Let h be g(8). Let m = 11 + -6. Solve -2*w**h + w**4 + 3/2*w + 3/2*w**m + 1 - 3*w**3 = 0.
-1, -2/3, 1
Let d be -2 - -38*(-1)/(-4). Factor 9/4*f**5 - d*f**4 + 0 + 7*f**3 + 0*f - 2*f**2.
f**2*(f - 2)*(3*f - 2)**2/4
Let h(j) = 2*j**2 + 7*j + 3. Let p be h(-3). Let x(i) be the second derivative of -1/5*i**2 + 1/30*i**4 + 0 + p*i**3 + i. Factor x(z).
2*(z - 1)*(z + 1)/5
Let r = -44 + 47. Solve 2/9*b**4 + 0*b - 2/9*b**r + 0*b**2 + 0 = 0.
0, 1
Let w(i) = -23*i**2 - 17*i + 17. Let c(d) = -4*d**2 - 3*d + 3. Suppose -3*s - 12 = 0, -3*r = -3*s + 17 + 73. Let u(x) = r*c(x) + 6*w(x). Factor u(q).
-2*q**2
Let w(a) be the third derivative of a**7/210 + a**6/30 + a**5/12 + a**4/12 + 6*a**2. Factor w(l).
l*(l + 1)**2*(l + 2)
Suppose -2*m - 44 = 126. Let r = -763/9 - m. Factor -r*y**2 + 0 + 0*y + 2/9*y**5 + 2/9*y**4 - 2/9*y**3.
2*y**2*(y - 1)*(y + 1)**2/9
Let w = 62/21 + -8/3. Factor 0 + 2/7*n + w*n**3 - 4/7*n**2.
2*n*(n - 1)**2/7
Let d(k) be the second derivative of -3*k + k**2 + 1/2*k**3 + 1/12*k**4 + 0. Factor d(h).
(h + 1)*(h + 2)
Let a be (9/27)/((-2)/(-12)). Let m = 4 - 1. Factor -5 - m - a*i - 6*i - 2*i**2.
-2*(i + 2)**2
Let v(r) be the second derivative of -r**6/120 + 9*r**5/80 - 9*r**4/16 + 9*r**3/8 + 3*r. Factor v(t).
-t*(t - 3)**3/4
Let w be (-2 + 1)*(1 - 2) + 1. Factor -2/3*g + 1/3*g**w + 1/3.
(g - 1)**2/3
Find d, given that 8/3*d**2 - 2/3*d**3 + 0*d + 0 = 0.
0, 4
Let o(t) = t**3 - t**2 - t - 1. Let m be o(3). Suppose 4*i + 2 - m = 0. Solve -7*n**2 - i*n**2 - 6*n**3 - 4*n + 0*n = 0.
-1, -2/3, 0
Suppose 11 = -3*v + 4*z, -3*z + 18 = -3*v + 4*v. Factor -11*a + a**2 - a**v + 11*a.
-a**2*(a - 1)
Let d be 7*6/84*(5 + -5). Find f such that 0 + d*f - 2/7*f**2 - 2/7*f**3 = 0.
-1, 0
Let s be (1 - (-7 + 2))/(1 - -1). Factor 0 + 0*z + 2/5*z**2 - 2/5*z**5 + 2/5*z**s - 2/5*z**4.
-2*z**2*(z - 1)*(z + 1)**2/5
Suppose -3*b - 5*h + 3*h + 5 = 0, -b - 3 = 3*h. Let j(s) be the first derivative of 2 + 0*s**2 - 1/12*s**4 + 0*s - 1/9*s**b. Factor j(v).
-v**2*(v + 1)/3
Let r(w) be the second derivative of 5*w**7/84 - w**6/12 - w**5/8 + 5*w**4/24 + 5*w + 2. Factor r(j).
5*j**2*(j - 1)**2*(j + 1)/2
Let v(l) be the third derivative of l**5/210 - l**4/42 - 3*l**2. Factor v(y).
2*y*(y - 2)/7
Let q(a) = -a. Let o be q(-4). Factor 2*n**5 - 2*n**o - 5*n + 5*n.
2*n**4*(n - 1)
Let s(g) = g**4 + 3*g**2 + 2*g - 2. Let v(f) = -6*f**4 - 15*f**2 - 10*f + 11. Let y(h) = -11*s(h) - 2*v(h). Determine d, given that y(d) = 0.
-1, 0, 2
Let s(o) be the second derivative of 0*o**2 + o**4 + 1/42*o**7 + 1/5*o**6 - 4*o + 13/20*o**5 + 2/3*o**3 + 0. Factor s(w).
w*(w + 1)**2*(w + 2)**2
Factor -1/2*j**2 - 1/6 + 1/6*j**3 + 1/2*j.
(j - 1)**3/6
Let z(a) be the first derivative of -49*a**6/12 - 35*a**5/2 - 235*a**4/8 - 145*a**3/6 - 10*a**2 - 2*a - 56. Find u, given that z(u) = 0.
-1, -2/7
Let n(w) = 8*w - 5. Let h be n(3). Suppose 16 = u - h. Factor 0 + u*p**4 + 2*p - 3/2*p**3 + 49/2*p**5 - 10*p**2.
p*(p + 1)**2*(7*p - 2)**2/2
Factor -2/3 + 1/2*n + 1/6*n**2.
(n - 1)*(n + 4)/6
Let r be (-34)/(-12) + 2/12. Let a(f) be the first derivative of 1 + 3/20*f**5 + 3/8*f**2 - 1/24*f**6 - 1/8*f**4 - 1/6*f**r - 1/4*f. Factor a(l).
-(l - 1)**4*(l + 1)/4
Suppose -4*a - 3*f + f + 6 = 0, 0 = 2*a - 3*f - 23. Let k = -6 + 10. Factor -2*h**5 + 6*h**3 + k - a*h**2 + 2 - 2*h**3 + 2*h**4 - 2*h - 4.
-2*(h - 1)**3*(h + 1)**2
Suppose 3/4*w + 3/2 - 3/4*w**2 = 0. What is w?
-1, 2
Let o(m) = m**3 + m. Let n(p) = -6*p**3 + 9*p**2 - 20*p + 7. Let v(c) = -n(c) - 5*o(c). Find s such that v(s) = 0.
1, 7
Suppose 2*w**2 + 3*w + w**3 - 3*w + w = 0. Calculate w.
-1, 0
Let c(j) be the second derivative of j + 0 + 0*j**3 + 0*j**2 - 1/6*j**4. Factor c(l).
-2*l**2
Let l = 3 + -1. Suppose 2*x = 3*u + 6, -x - u - 4*u - 10 = 0. Find k, given that 1/4*k**l + 0 + 1/4*k**4 + x*k + 1/2*k**3 = 0.
-1, 0
Let n(d) be the third derivative of -1/12*d**4 - 2*d**2 + 1/60*d**6 + 0*d + 0 - 1/30*d**5 + 1/3*d**3. Let n(l) = 0. Calculate l.
-1, 1
Solve 0 - 14/17*h**4 - 16/17*h**2 - 8/17*h + 38/17*h**3 = 0 for h.
-2/7, 0, 1, 2
Let v(s) be the second derivative of -s**6/25 - s**5/25 - 9*s. Find r, given that v(r) = 0.
-2/3, 0
Factor 0*s + 3/4*s**2 + 0 - 3/4*s**3.
-3*s**2*(s - 1)/4
Let p = 2635/8 + -329. Let n(t) be the first derivative of 1/12*t**3 + p*t**2 + 1 + 1/2*t. Find q, given that n(q) = 0.
-2, -1
Let n(g) be the first derivative of 2/3*g**2 + 5 - 2/9*g**3 - 2/3*g. Factor n(j).
-2*(j - 1)**2/3
Determine d, given that -5/2*d - 23/2*d**2 - 19/2*d**3 + 3/2 - 2*d**4 = 0.
-3, -1, 1/4
Find d, given that -d**3 + 1/2*d + 0 + 1/2*d**5 + 0*d**2 + 0*d**4 = 0.
-1, 0, 1
Let g(y) be the first derivative of 2*y**3/5 - y**2/5 - 4*y/5 - 5. Find o such that g(o) = 0.
-2/3, 1
Factor 6/17*z**2 - 2/17*z + 2/17*z**4 + 0 - 6/17*z**3.
2*z*(z - 1)**3/17
Let x(l) = -5*l**2 - 5*l - 4. Let o(n) = 9*n**2 + 10*n + 7. Let h(y) = 6*o(y) + 11*x(y). Let g be h(4). Factor -1/2*w + 1/2*w**3 - 1/2*w**g + 1/2.
(w - 1)**2*(w + 1)/2
Suppose 2*p - 3 - 5 = 0, -2*y + 2*p = 0. Let l(b) be the second derivative of 2*b**2 + 0 + 2*b - 1/6*b**y + 1/3*b**3. Factor l(k).
-2*(k - 2)*(k + 1)
Let m(w) be the third derivative of -w**5/330 - 3*w**4/44 - 8*w**3/33 + 14*w**2. Suppose m(j) = 0. What is j?
-8, -1
Let k(z) be the second derivative of 4*z - 1/16*z**4 - 1/120*z**6 + 3/80*z**5 + 0*z**2 + 0 + 1/24*z**3. Let k(j) = 0. Calculate j.
0, 1
Let d be (-4)/(-10)*65/39. Factor -2/3*j + 2/3*j**3 + 2/3 - d*j**2.
2*(j - 1)**2*(j + 1)/3
Let i(g) be the first derivative of -2/7*g**3 - 3 - 2/7*g + 1/14*g**4 + 3/7*g**2. Factor i(h).
2*(h - 1)**3/7
What is a in 0 + 6/5*a**3 - 2/5*a + 4/5*a**2 = 0?
-1, 0, 1/3
Let b(t) be the first derivative of t**4/32 - t**3/24 - t**2/16 + t/8 - 15. Factor b(y).
(y - 1)**2*(y + 1)/8
Let h = 61/92 - -2/23. Let c = h + -7/12. Let 0*t - c*t**2 + 1/6 = 0. What is t?
-1, 1
Let u = 3832/17 - 132641/595. Let p = u - 1/5. Find m such that -p*m**4 + 0 - 2*m**3 + 0*m - 6/7*m**5 - 4/7*m**2 = 0.
-1, -2/3, 0
Suppose -7 - 9 = 2*p. Let q be 3/(-6)*p/14. Factor 0*f + q*f**2 + 0.
2*f**2/7
Let f(r) = 5*r**4 + 4*r**3 - 5*r**2 - 4*r. Let w(j) = 9*j**4 + 8*j**3 - 9*j**2 - 8*j. Let s(i) = 5*f(i) - 3*w(i). Suppose s(k) = 0. What is k?
-2, -1, 0, 1
Let 0*f**3 - 4*f**4 + 2*f**3 - 9*f**3 - 3*f**3 + 6*f**2 = 0. Calculate f.
-3, 0, 1/2
Suppose 5*l - 4 = 11. Factor -2*z**l - 2*z + 6 - 6 + 4*z**2.
-2*z*(z - 1)**2
Let d(k) = k**3 - 24*k**2 - 7*k + 25. Let a(h) = 12*h**2 + 4*h - 12. Let g(o) = -7*a(o) - 4*d(o). Let g(w) = 0. What is w?
-1, 2
Let j(t) = 2 - 4*t**3 + 2*t**2 + 2*t**3 + 2*t**2 + 0*t**2. Let d(f) = -8*f**3 + 17*f**2 + 9. Let s(o) = 2*d(o) - 9*j(o). Suppose s(w) = 0. Calculate w.
0, 1
Solve -6*v**2 + 14*v**2 - 6*v**2 + 6*v + 4 = 0 for v.
-2, -1
Suppose 2*m**4 + 126*m**3 - 126*m**3 - 2*m**2 = 0. Calculate m.
-1, 0, 1
Let f(a) be the second derivative of -a**6/15 + a**5/5 - a**4/6 + 19*a. Factor f(b).
-2*b**2*(b - 1)**2
Suppose 0 = 4*p + 12 - 20. Find d, given that -4*d + 2*d - 3*d**3 + 0*d**3 + 0*d**3 - 5*d**p = 0.
-1, -2/3, 0
Let n(g) = -g**3 + g**2 + g + 6. Let w be n(0). Factor -w*z**3 + 4*z**3 + z**3.
-z**3
Let d(k) = -k**2 + 2*k + 1. Let p(f) = -1. Let t = -7 - -8. Let i(g) = -g**2 + 2. Let u(m) = t*i(m) + 2*p(m). Let r(l) = -d(l) + 2*u(l). Factor r(o).
-(o + 1)**2
Let l(w) be the first derivative of 5*w**3/9 + 5*w**2/6 - 1. Factor l(b).
5*b*(b + 1)/3
Let i(q) = -q**2 + 8*q + 1. Suppose 0 = -0*k - 2*k + 16. Let m be i(k). Factor -d + d**4 - 3*d**3 + 3*d**2 + m - 1.
d*(d - 1)**3
Let n(k) be the first derivative of k**6/2 + 2*k**5/5 - 3*k**4/4 - 2*k**3/3 + 5. Factor n(m).
m**2*(m - 1)*(m + 1)*(3*m + 2)
Factor 0 + 5*y - 6*y**2 - y + 8*y**2 + 2.
2*(y + 1)**2
Factor 2/11*r - 2/11*r**3 - 2/11*r**4 + 0 + 2/11*r**2.
-2*r*(r - 1)*(r + 1)**2/11
Let b(i) = 3*i**2 + i + 2. Suppose 0 = -2*j - 0*n + 3*n + 4, -3*n = j + 16. Let g(f) = 3*f**2 + 2. Let v(l) = j*g(l) + 5*b(l). Factor v(a).
(a + 1)*(3*a + 2)
Let 16*r**5 - 7*r**3 + 26*r**2 - 9*r + 36 - 3*r**2 - 24*r**4 - 35 = 0. Calculate r.
-1, 1/4, 1
Let h = -51 + 51. Factor 0 + 0*q + 2/9*q**4 + 0*q**2 + h*q**3.
2*q**4/9
Factor 2*d + 3*d - 4*d - d**2 - 71 + 73.
-(d - 2)*(d + 1)
Factor -2*u**3 + 3*u**4 + 30*u + 9 - 4*u**2 + 40*u**2 + 12*u**3 + 8*u**3.
3*(u + 1)**3*(u + 3)
Let x(d) be the second derivative of d**8/840 + d