 - 12*f**4 + 2*f**3 - 4*f**2 - 9*f - 8. Let v(c) = 3*j(c) - 24*k(c). Find r, given that v(r) = 0.
-1, 0
Let x(h) = -h**3 + 3*h**2 + h. Let d be (-33)/(-9) + (-8)/12. Let c be x(d). Solve -19/3*q**4 - 2/3*q - 5*q**5 + 0 + 5/3*q**c + 7/3*q**2 = 0.
-1, 0, 1/3, 2/5
Suppose 8*b - 12 = 5*b. Suppose l + b*h = -4 + 18, -5*h + 5 = -5*l. Determine i, given that -i - 5/4*i**5 + 15/4*i**3 + i**l + 0 + 1/2*i**4 = 0.
-1, 0, 2/5, 2
Let m(o) be the third derivative of o**2 + 11/180*o**6 + 1/10*o**5 + 0*o + 1/36*o**4 + 0 + 4/315*o**7 - 1/9*o**3. Factor m(k).
2*(k + 1)**3*(4*k - 1)/3
Determine o, given that -3/7*o**4 + 0 - 15/7*o**2 + 6/7*o + 12/7*o**3 = 0.
0, 1, 2
Let 0 + g + g**4 + 5*g**2 + 17/4*g**3 = 0. Calculate g.
-2, -1/4, 0
Suppose 5*c - 7 = 18. Find x, given that 2*x**c - 148*x**3 - 28*x**2 + 138*x**5 - 16 - 197*x**3 + 80*x + 125*x**3 + 44*x**4 = 0.
-1, 2/7, 2/5, 1
Let l(n) be the second derivative of -3/80*n**5 + 0*n**2 + 0 - n + 0*n**3 + 1/40*n**6 + 0*n**4. Solve l(w) = 0.
0, 1
Suppose -5*n + f - 1 = 3, -3*n = f - 4. Suppose -5*g = -n*g - 10. Factor -3*o + o + 4*o**2 + 0*o**2 + 0*o**g - 2*o**3.
-2*o*(o - 1)**2
Suppose m + 9 = 4*m. Let p(q) = -m + 0*q**3 + 3*q + 3*q**4 - 7*q**2 + q**3 - 4*q. Let b(t) = t**4 - 2*t**2 - 1. Let n(s) = -7*b(s) + 2*p(s). Factor n(z).
-(z - 1)**3*(z + 1)
Suppose -v + t - 3 = 0, 5*v = -5*t + 11 + 14. Suppose 7 = d - 5*c, 3*c = 2*c - v. Factor 8*i - 6*i**d - 1 + 5*i**2 - 15*i**2.
-(4*i - 1)**2
Let w be (-1)/8 + (-2842)/48. Let d = 60 + w. Factor d*n**2 + 0*n + 0.
2*n**2/3
Let h(b) = 4*b**2 - 4*b + 21*b**3 - b**2 - 17*b**3. Let g(w) = -7*w**3 - 5*w**2 + 7*w. Let l(c) = -3*g(c) - 5*h(c). Factor l(k).
k*(k - 1)*(k + 1)
Suppose -9 - 39 = -3*o. Suppose 0*w + 3*w = 3*a, a - o = -3*w. What is v in -v**5 + 21*v**5 - 24*v**3 + 4*v - 2*v**w + 0*v**5 + 2*v**2 = 0?
-1, -2/5, 0, 1/2, 1
Let d(l) be the third derivative of 0 - 1/45*l**6 - 1/630*l**7 - 4/9*l**4 - 2/15*l**5 - 8/9*l**3 + 0*l + 4*l**2. Solve d(y) = 0 for y.
-2
Factor 5*x**3 - 3*x**3 + 0*x**2 - 2*x - 4 - 2*x**4 + 6*x**2.
-2*(x - 2)*(x - 1)*(x + 1)**2
Suppose -5*p = -6 - 9. Let s(n) be the first derivative of 2/3*n**p + 2 + 0*n + n**2. Determine q, given that s(q) = 0.
-1, 0
Let b(a) be the second derivative of a**6/30 + a**5/4 + 2*a**4/3 + 2*a**3/3 + 29*a. Factor b(p).
p*(p + 1)*(p + 2)**2
Suppose 0 = 2*f - f - 2. Let i(y) be the second derivative of -2*y - 1/2*y**f + 1/24*y**4 + 0 - 1/12*y**3. Factor i(l).
(l - 2)*(l + 1)/2
Let w(g) be the third derivative of -g**8/336 - g**7/105 + g**5/30 + g**4/24 - 7*g**2. Solve w(l) = 0.
-1, 0, 1
Let y = 175 - 524/3. Factor 1/3*v**2 - y*v + 0.
v*(v - 1)/3
Determine b, given that 3*b**3 + 5 - 5 - 3*b**2 + 0*b**4 + 3*b**4 - 3*b = 0.
-1, 0, 1
Let h(i) be the first derivative of -2*i**5/5 + 5*i**4/2 - 6*i**3 + 7*i**2 - 4*i - 2. Find r such that h(r) = 0.
1, 2
Let t(z) be the third derivative of -z**7/70 + z**6/40 + z**5/20 - z**4/8 + z**2. Factor t(f).
-3*f*(f - 1)**2*(f + 1)
Factor 8*u**4 - 62*u**2 - 24 - 71*u**3 - 73*u**3 + 134*u**3 + 112*u.
2*(u - 2)**2*(u + 3)*(4*u - 1)
Factor -16/7 - 12/7*b**2 + 24/7*b + 2/7*b**3.
2*(b - 2)**3/7
Let h(t) be the third derivative of t**6/1260 - t**5/315 - t**4/252 + 2*t**3/63 - 28*t**2. Factor h(x).
2*(x - 2)*(x - 1)*(x + 1)/21
Let w(s) be the first derivative of 2*s**3/9 + s**2/3 + 5. Factor w(z).
2*z*(z + 1)/3
Let w(i) = 3*i**3 + 3*i**2 - 10*i + 4. Let s(p) = 21*p**3 + 21*p**2 - 69*p + 27. Let h(g) = 4*s(g) - 27*w(g). Suppose h(x) = 0. Calculate x.
-2, 0, 1
Let o be (-4)/18 - (-114)/27. Let l(i) = 3*i**2 - 3*i - 6. Let q(f) = -2*f**2 + 3*f + 5. Let n(v) = o*q(v) + 3*l(v). Let n(w) = 0. What is w?
-2, -1
Let c**2 + 2 - 5*c**4 + c**4 - 6 + 7*c**2 = 0. Calculate c.
-1, 1
Suppose 6 = s - 4*c, -4*c + 5*c + 1 = 0. Suppose 0*f + 8/3 - 2/3*f**s = 0. Calculate f.
-2, 2
Find h, given that h**4 + 0*h**2 + 0 + 3/2*h**3 - 1/2*h = 0.
-1, 0, 1/2
Let b(o) be the first derivative of o**4/16 - o**2/2 - 18. Factor b(i).
i*(i - 2)*(i + 2)/4
Let y = 55/6 - 17/2. Solve 0 - 2/3*k + y*k**2 = 0 for k.
0, 1
Solve -14*m - 15*m + 27*m + 2*m**2 = 0.
0, 1
Let q(g) be the third derivative of -2*g**2 + 0*g**3 + 0 + 0*g**4 + 0*g + 0*g**5 - 1/360*g**6. Solve q(i) = 0.
0
Find k such that -1/5*k**3 + 1/5*k + 1/5*k**4 + 2/5 - 3/5*k**2 = 0.
-1, 1, 2
Suppose -8*r + 4*r = -8. Factor -7*j**2 + 0*j + 7*j - 2*j + 5*j**2 - r.
-(j - 2)*(2*j - 1)
Factor 12/5*d**2 + 2/5*d - 12/5 - 2/5*d**3.
-2*(d - 6)*(d - 1)*(d + 1)/5
Let p(u) be the first derivative of -9*u**5/5 + 33*u**4/4 - 5*u**3 - 9*u**2/2 - 5. Factor p(n).
-3*n*(n - 3)*(n - 1)*(3*n + 1)
Let n(v) be the second derivative of -1/2*v**2 - 1/30*v**6 + 0 - 4*v - 1/6*v**3 + 1/10*v**5 + 1/6*v**4 - 1/42*v**7. Factor n(r).
-(r - 1)**2*(r + 1)**3
Let x(i) be the second derivative of i**6/1080 - i**5/90 + i**4/24 - 5*i**3/6 - 5*i. Let h(q) be the second derivative of x(q). Solve h(j) = 0.
1, 3
Suppose 49 + 3 = 13*a. Let n(i) be the second derivative of 0 + 0*i**2 + 1/3*i**3 + 1/12*i**a + i. Suppose n(s) = 0. Calculate s.
-2, 0
Let n(f) be the third derivative of 0 + 0*f**3 + 1/330*f**5 + 1/66*f**4 - f**2 + 0*f. Factor n(k).
2*k*(k + 2)/11
Suppose -4*d - 4*q + 16 = 0, -5*q + 15 - 1 = 4*d. Let d*m**2 + 3 - 7*m**5 + 4*m**5 - 6*m**3 - 10*m**4 + 9*m + m**4 = 0. What is m?
-1, 1
Solve -1/5*d**4 + 3/5*d**3 + 0*d**2 + 0*d + 0 = 0.
0, 3
Let -1/2*m**2 + 1/2*m + 0 = 0. Calculate m.
0, 1
Let d(w) be the third derivative of 0*w**3 + 1/420*w**7 - 1/48*w**4 + 0 - 5*w**2 - 1/80*w**5 + 1/160*w**6 + 0*w. Factor d(n).
n*(n - 1)*(n + 2)*(2*n + 1)/4
Let a(v) be the third derivative of 0*v**3 + 1/30*v**7 + 3/40*v**6 + 0*v + 0 - 2*v**2 - 1/6*v**4 - 1/5*v**5. Factor a(n).
n*(n - 1)*(n + 2)*(7*n + 2)
Let k = -2 + -2. Let w be ((0 - k)/2)/1. Determine p so that 5/3*p**5 + 13/3*p**4 - 2/3*p + 3*p**3 - 1/3*p**w + 0 = 0.
-1, 0, 2/5
Let c be 9/12 + -1 - 70/(-40). Suppose 1/4*m**2 + 9/4 - c*m = 0. Calculate m.
3
Let u(c) be the second derivative of c**6/15 - 3*c**5/10 + c**4/2 - c**3/3 + 2*c. Factor u(d).
2*d*(d - 1)**3
Let y = 159 - 3974/25. Let w(u) be the first derivative of -2 - 1/10*u**2 + 0*u + 1/15*u**3 - y*u**5 + 1/20*u**4. Factor w(t).
-t*(t - 1)**2*(t + 1)/5
Let 2/9*x + 0 + 2/9*x**2 = 0. What is x?
-1, 0
Let c be 1 - (2 + 52/(-132)). Let z = c - -14/11. Suppose 2/3*h**3 - 2/3*h + z*h**2 - 2/3 = 0. Calculate h.
-1, 1
Let s(d) = -d - 3. Let i be s(-6). Suppose -c = i*c. Factor -1/3*p**2 + c + 0*p.
-p**2/3
Determine v so that -9 - 4*v**3 + 2*v**2 + 3*v**3 + 10*v - 5*v + 3 = 0.
-2, 1, 3
Let k(q) be the first derivative of -5 + 1/15*q**5 - 1/6*q**4 - 1/3*q + 1/3*q**2 + 0*q**3. Factor k(j).
(j - 1)**3*(j + 1)/3
Let b(d) = d**3 + 5*d**2 - 15*d - 52. Let o be b(-6). Let a(t) be the second derivative of 4/5*t**3 - 1/6*t**4 + o*t - 4/5*t**2 + 0. Factor a(y).
-2*(y - 2)*(5*y - 2)/5
Let l(s) be the first derivative of -2*s**6/7 - 9*s**5/7 - 6*s**4/7 + 3*s**3/7 + 19. Find t such that l(t) = 0.
-3, -1, 0, 1/4
Let h(k) = -231*k**3 + 501*k**2 - 99*k + 21. Let i(w) = -23*w**3 + 50*w**2 - 10*w + 2. Suppose -3*s = s + 84. Let u(a) = s*i(a) + 2*h(a). Factor u(g).
3*g*(g - 2)*(7*g - 2)
Let v = 13 + -9. Let d(x) be the first derivative of 5/6*x**6 + 10/3*x**3 - 9/2*x**2 + 2*x - 2 - 12/5*x**5 + x**v. Factor d(k).
(k - 1)**3*(k + 1)*(5*k - 2)
Let s(r) be the third derivative of r**5/150 + r**4/60 - 2*r**3/15 - 8*r**2. Find m such that s(m) = 0.
-2, 1
Suppose 61 + 7 = -3*m - z, -2*m + z = 42. Let u be m/(-28) + (-30)/105. Factor 1/2*i + u*i**4 - 1/2*i**3 - 1/2*i**2 + 0.
i*(i - 1)**2*(i + 1)/2
Let k = -3/44 - -109/308. Let v(d) be the first derivative of -1 + 2/7*d**3 - 2/7*d - k*d**2. Factor v(s).
2*(s - 1)*(3*s + 1)/7
Let -4/9 + 2/9*y**3 - 2/9*y + 4/9*y**2 = 0. Calculate y.
-2, -1, 1
Let m(x) = 12*x**2 + 1 - 13*x - 13*x**2 - 13. Let z be m(-12). Factor 4/5*k**2 + z*k**3 + 2/5*k**5 + 0 - 4/5*k**4 - 2/5*k.
2*k*(k - 1)**3*(k + 1)/5
Let l(h) = h**2 - 2*h - 2. Let s be l(4). Suppose s*z = 3*z + 6. Factor -3*c + c + 4*c**z - 2*c**3 + 3*c**3 - 3*c**3.
-2*c*(c - 1)**2
Let z be (-2)/(-35)*(-180)/(-36). Find w such that -12/7*w**3 - 2/7*w**4 + 6/7*w + 6/7*w**5 + 4/7*w**2 - z = 0.
-1, 1/3, 1
Factor -12/5*d**2 + 2/5*d**4 - 6/5 + 16/5*d + 0*d**3.
2*(d - 1)**3*(d + 3)/5
Let p(q) be the second derivative of -3*q + 1/15*q**4 + 4/25*q**5 - 4/105*q**7 + 0 - 1/75*q