*c**3 - 1/2 - q*c**4 + 5/2*c**2 + 3/2*c = 0. What is c?
-1, 1/4, 1
Let q(o) be the third derivative of -o**7/7560 - o**6/540 - o**5/90 + o**4/12 + o**2. Let b(j) be the second derivative of q(j). Factor b(n).
-(n + 2)**2/3
Let c = 2 + -4. Let l be (12/(-5) - c)*-5. Suppose -o - l*o**2 - o**2 + 2*o**2 = 0. Calculate o.
-1, 0
Let m(v) = v**2 + v. Let j(w) = -2*w**3 - 13*w**2 - 29*w - 18. Let f(c) = -j(c) + m(c). Find i such that f(i) = 0.
-3, -1
Let q = -449 - -4045/9. Let -q*z**3 + 2/9*z + 2/9*z**5 + 0*z**2 + 0 + 0*z**4 = 0. Calculate z.
-1, 0, 1
Let d(k) = 7*k**3 + 8*k**2 + 19*k + 10. Let c(u) = -u**3 + u**2 - u - 1. Let f be -8*(-3)/12*2. Let i(q) = f*c(q) + d(q). Suppose i(r) = 0. What is r?
-2, -1
Let t(x) = -x**2 - 1. Let h(g) = -7*g**2 - 3*g - 6. Let c(w) = -h(w) + 6*t(w). Factor c(q).
q*(q + 3)
Suppose 7*i - i = 0. Factor 1/4*q**4 + 1/4*q**5 + 0 - 1/4*q**2 + i*q - 1/4*q**3.
q**2*(q - 1)*(q + 1)**2/4
Let o(z) = -4*z**2 - 16*z + 16. Let d(k) = 13*k**2 + 49*k - 48. Let v(g) = -2*d(g) - 7*o(g). Factor v(j).
2*(j - 1)*(j + 8)
Suppose 2*v + 3*z - 2 = 12, -z = -4*v + 14. Factor -2/11*u**5 + 4/11*u**2 + 0 + 0*u**3 - 4/11*u**v + 2/11*u.
-2*u*(u - 1)*(u + 1)**3/11
Suppose -2*o = 3*o + 4*g + 12, -5*o = -5*g - 15. Find w, given that -7/4*w**2 + o - 5/4*w**3 + w**4 + 1/2*w = 0.
-1, 0, 1/4, 2
Suppose 32 = -20*t + 28*t. Let 2/5*i**2 + 2/5*i**t + 0 + 4/5*i**3 + 0*i = 0. Calculate i.
-1, 0
Let s = 2155/42 - 301/6. Factor s*y**3 - 2/7*y**4 - 12/7*y**2 + 8/7*y - 2/7.
-2*(y - 1)**4/7
Let n(z) = z + 1. Let v be n(3). Find t, given that 0*t**3 - 4*t + 2*t**3 + 8*t**2 - 4*t**3 - 6*t + v = 0.
1, 2
Let p(d) be the third derivative of -d**5/90 - 5*d**4/9 - 100*d**3/9 - 33*d**2. What is a in p(a) = 0?
-10
Let w = -1803/2 - -866. Let h = -209/6 - w. Determine t so that 0*t**3 + 0*t - 4/3*t**2 + h + 2/3*t**4 = 0.
-1, 1
Let p(h) be the first derivative of h**3/12 + 3*h**2/4 + 15. Factor p(o).
o*(o + 6)/4
Let i(s) be the third derivative of s**6/660 - s**5/330 - s**4/132 + s**3/33 + 4*s**2. Factor i(n).
2*(n - 1)**2*(n + 1)/11
Let i(q) be the first derivative of -2/3*q**3 + q**2 + 0*q + 3. Factor i(k).
-2*k*(k - 1)
Let q(p) = 1 + 3 - 4*p**2 - 1 + 13*p - 11*p. Let v(k) be the second derivative of k**4/12 - k**2/2 + k. Let f(r) = -q(r) - 3*v(r). Factor f(s).
s*(s - 2)
Let h(g) = 10*g**3 - 65*g**2 + 55*g + 5. Let t(j) = 5*j**3 - 33*j**2 + 28*j + 3. Let w(i) = -3*h(i) + 5*t(i). Factor w(v).
-5*v*(v - 5)*(v - 1)
Let b(y) be the second derivative of 0 - 3*y + 1/8*y**4 - 1/4*y**2 - 1/6*y**3. Solve b(x) = 0.
-1/3, 1
Let g(y) be the third derivative of -1/105*y**7 + 0*y**4 - 1/30*y**6 + 0*y**3 - 4*y**2 + 1/10*y**5 + 0*y + 0. Factor g(a).
-2*a**2*(a - 1)*(a + 3)
Let f = 141/2 + -67. Let 4*p**3 + 3/2*p**4 + p + f*p**2 + 0 = 0. What is p?
-1, -2/3, 0
Let q(z) = -389*z**3 + 360*z**2 - 103*z + 23. Let s(u) = 130*u**3 - 120*u**2 + 34*u - 8. Let b(i) = -4*q(i) - 11*s(i). Let b(r) = 0. What is r?
2/7, 1/3
Let d(t) be the first derivative of -3/11*t**2 + 1/33*t**6 + 2/11*t + 1/11*t**4 - 6/55*t**5 - 1 + 4/33*t**3. Factor d(u).
2*(u - 1)**4*(u + 1)/11
What is z in 2*z**2 + 4 - 3 - 1 = 0?
0
Let x(w) be the first derivative of -3*w**4/8 - 5*w**3/2 - 21*w**2/4 - 9*w/2 - 22. Factor x(q).
-3*(q + 1)**2*(q + 3)/2
Let k(s) be the first derivative of s**6/9 - 3*s**5/5 + 13*s**4/12 - 5*s**3/9 - s**2/2 + 2*s/3 - 31. Factor k(l).
(l - 2)*(l - 1)**3*(2*l + 1)/3
Factor -15*h**2 - 12*h + 5*h**2 - 2*h**2 + 0 - 4*h**3 - 4.
-4*(h + 1)**3
Suppose -8 + 20 = 6*h. Find v, given that -h*v**3 + 2*v**2 - 2/3*v + 2/3*v**4 + 0 = 0.
0, 1
Let r(q) = -6*q**2 + q + 11. Let i(h) = -h + 1. Let a(s) = -5*i(s) - r(s). Factor a(x).
2*(x + 2)*(3*x - 4)
Let f(v) be the second derivative of -v**4/24 + v**3/2 - 9*v**2/4 - 2*v. Factor f(y).
-(y - 3)**2/2
Let p = 118 + -115. Let v(r) be the second derivative of 0*r**4 + 0*r**2 + 0 + r + 0*r**p - 1/30*r**5. Factor v(l).
-2*l**3/3
Let s(u) be the first derivative of u**4/10 - 2*u**3/5 + 3*u**2/5 - 2*u/5 - 29. Determine m, given that s(m) = 0.
1
Factor 0 - 4/5*q**4 + 0*q**2 - 2/5*q**3 + 0*q - 2/5*q**5.
-2*q**3*(q + 1)**2/5
Let v(j) be the first derivative of 0*j**3 + 0*j + 3/32*j**4 + 1/20*j**5 - 1/16*j**2 - 7. Let v(g) = 0. Calculate g.
-1, 0, 1/2
Factor 27/7 + 3/7*q**2 - 18/7*q.
3*(q - 3)**2/7
Let s(r) be the second derivative of r**7/42 - 2*r**6/15 + r**5/5 + r**4/6 - 5*r**3/6 + r**2 - 35*r. Let s(l) = 0. Calculate l.
-1, 1, 2
Let v(n) be the second derivative of -n**5/20 + n**4/12 + n**3/3 + 6*n + 1. Factor v(q).
-q*(q - 2)*(q + 1)
Let p(v) be the third derivative of -v**8/3360 - 11*v**7/7560 - v**6/540 - v**5/30 + 2*v**2. Let k(j) be the third derivative of p(j). Factor k(t).
-2*(t + 1)*(9*t + 2)/3
Let y(u) = -7*u**4 + 3*u**3 + 12*u**2. Let o(k) = -155*k**4 + 65*k**3 + 265*k**2. Let g(j) = 2*o(j) - 45*y(j). Suppose g(x) = 0. Calculate x.
-1, 0, 2
Let p(s) = -s**3 - 7*s**2 + s + 7. Let b be p(-7). Let h(n) be the third derivative of b - 1/3*n**3 - n**2 + 1/30*n**5 + 0*n**4 + 0*n. Factor h(o).
2*(o - 1)*(o + 1)
Let m be 20/6*(-96)/(-80). Let s(f) be the second derivative of -f - 1/9*f**m + 1/3*f**2 + 0*f**5 + 1/45*f**6 + 0*f**3 + 0. Solve s(x) = 0.
-1, 1
Suppose 3*n + 13 = -2, -4*n = -2*q + 20. Suppose 5*h - r = 4*r + 45, 0 = -4*h - 3*r + 1. Factor 0*w + 1/2 + q*w**3 + 1/2*w**h - w**2.
(w - 1)**2*(w + 1)**2/2
Let y(s) be the first derivative of -3*s**5/25 - s**4/10 + 7*s**3/15 - s**2/5 - 4. Find p such that y(p) = 0.
-2, 0, 1/3, 1
Let f(d) = -d**2 + 15*d + 18. Let v be f(16). Let i(x) be the first derivative of 8/3*x**3 - 5*x**2 + v*x + 1. Factor i(h).
2*(h - 1)*(4*h - 1)
Let g(o) = 2*o - 9. Suppose 4 = -4*u + 28. Let q be g(u). Suppose -2*b**q - 15*b**4 - 4 + 9*b**5 + 3*b**2 + 11*b**2 + 5 - 7*b = 0. What is b?
-1, 1/3, 1
Let r be (-2)/(-5) - 8/45. Solve -4/9*g**2 + 0 + r*g**3 + 2/9*g = 0 for g.
0, 1
Let x = -1 - -3. Let z(j) be the third derivative of 0 + 0*j**4 - j**x - 1/9*j**3 + 1/90*j**5 + 0*j. Suppose z(u) = 0. What is u?
-1, 1
Let 0*z**2 + 30*z - 3*z**2 - 18*z - 12 = 0. What is z?
2
Factor -3*r**2 - 2*r**2 - 3*r**2 + 4*r**3 + 0*r + 4*r.
4*r*(r - 1)**2
Let h(y) be the third derivative of -y**7/490 - y**6/35 - 9*y**5/70 + 27*y**3/14 + 5*y**2. Solve h(i) = 0.
-3, 1
Let i(z) be the first derivative of z**4/12 - z**3/6 + 3*z + 3. Let l(q) be the first derivative of i(q). What is s in l(s) = 0?
0, 1
Suppose 0 = -7*d + 10*d - 15. Let y(m) be the first derivative of -m**4 + m + 2*m**3 - 2*m**2 + 1/5*m**d - 1. Factor y(z).
(z - 1)**4
Let i = 273593/84 - 3257. Let q(g) be the third derivative of 0 - 1/210*g**5 - 1/84*g**6 - 2*g**2 + 0*g + i*g**4 - 2/21*g**3 + 1/245*g**7. Solve q(w) = 0 for w.
-1, 2/3, 1
Let l = 180 + -178. What is s in 1/2*s**3 + 1/2*s**5 + 0*s**l + 0*s + 0 + s**4 = 0?
-1, 0
Let k(q) be the first derivative of q**9/7560 - q**8/1400 + q**7/700 - q**6/900 + 2*q**3/3 + 1. Let u(i) be the third derivative of k(i). Solve u(v) = 0.
0, 1
Let u = 32 + -24. Let d be (-14)/5 - (u - 11). Factor -1/5*n + 0 + d*n**2.
n*(n - 1)/5
Let n(t) = -t**3 - 2*t**2 + t - 6. Let g be n(-6). Let l be ((-40)/g)/5*-3. Factor -l*f**3 + 2/11*f**5 + 2/11*f**2 - 2/11*f**4 + 0 + 0*f.
2*f**2*(f - 1)**2*(f + 1)/11
Let n(j) = j**2 + 6*j + 10. Let l be n(-2). Suppose -4*u + 4*d - 16 = 0, 2*u + 4 = d - 0*d. Factor -1/3*y**l + 0*y + u.
-y**2/3
Let r(q) be the first derivative of q**5/15 - q**4/3 + 4*q**3/9 - 1. Suppose r(z) = 0. What is z?
0, 2
Let s = -9 + 15. Let i(w) = -w**3 - 4*w**2 + 2*w + 2. Let n(v) = 7*v**3 + 24*v**2 - 11*v - 13. Let z(h) = s*n(h) + 39*i(h). Suppose z(m) = 0. Calculate m.
0, 2
Factor -4/5 - 2/5*s + 2/5*s**2.
2*(s - 2)*(s + 1)/5
Factor -8/3 + 4*o + 8/3*o**2.
4*(o + 2)*(2*o - 1)/3
Let z(q) be the second derivative of -q**4/12 + q**3 - 5*q**2/2 - 21*q. Factor z(v).
-(v - 5)*(v - 1)
Let i = 23 + -16. What is w in -6*w**2 + i*w**2 - 2*w**2 + w**3 = 0?
0, 1
Let r(a) = -9*a**4 - a**3 - 13*a**2 - 29*a - 13. Let z(x) = -4*x**4 - 6*x**2 - 14*x - 6. Let m(y) = -6*r(y) + 13*z(y). Factor m(v).
2*v*(v - 1)*(v + 2)**2
Let n be (9/3 - 3)/(-1). Suppose n = -0*g + 5*g. Find i, given that i**4 + 0*i**2 - 1/2*i**5 + 0*i - 1/2*i**3 + g = 0.
0, 1
Let -10/3*c**2 - 16/3*c - 8/3 - 2/3*c**3 = 0. Calculate c.
-2, -1
Let k(s) be the third derivative of -s**5/20 + s**4/8 + s**3 - 44*s**2. Solve k(x) =