-2, -3/5
Suppose 4*j - 48 = -4*j. Let l(s) be the third derivative of 1/8*s**3 + 0*s - 3/160*s**j - 1/32*s**4 + 0 - 1/16*s**5 + 3*s**2. Find m, given that l(m) = 0.
-1, 1/3
Suppose 3*y + 19 = 2*c - 4, -4*y = 20. Suppose 5*h - 6 = 4*h - 3*k, -5*k = -c*h - 10. Suppose 2/3*n**3 + 0*n + 0*n**2 + h - 2/3*n**4 = 0. What is n?
0, 1
Find p, given that 21*p**2 + 22*p**2 - 65*p**2 + 17*p**2 - 10*p = 0.
-2, 0
Let w = 1/21 - -2/7. Let h(z) be the third derivative of -4/15*z**5 + 0*z + 0 - z**2 + 3/35*z**7 - w*z**4 + 1/20*z**6 + 0*z**3. Factor h(g).
2*g*(g - 1)*(3*g + 2)**2
Find s such that -2*s - 3*s**2 + 2*s**2 + 5*s + 2*s**2 + 2 = 0.
-2, -1
Find d, given that 2/7 - 10/7*d**2 - 8/7*d = 0.
-1, 1/5
Suppose p = 4*m - 14, -4*p + p + m = -2. Factor -5*z**2 + 3*z**3 + 0*z**p + 3 + 2*z**2 - 3*z.
3*(z - 1)**2*(z + 1)
Factor y**3 + 20*y**2 + 4*y**4 + 7*y**3 - 24*y**3 - 8*y.
4*y*(y - 2)*(y - 1)**2
Find y, given that -8*y**2 + 2*y**2 - 3*y**2 + 4*y**3 + 5*y**2 = 0.
0, 1
Suppose -6 = 9*z - 24. Let 0 + 1/4*i**3 - 1/4*i + 0*i**z = 0. Calculate i.
-1, 0, 1
Let y be (-1)/(-4)*12/3. Let w be 0 + 0 + 2 + y. Factor -k**w - 2*k - k**3 + 2*k.
-2*k**3
Let t(x) be the first derivative of -x**6/5 + 8*x**5/25 + 4*x**4/5 - 4*x**3/5 - x**2 + 4*x/5 + 5. Find j, given that t(j) = 0.
-1, 1/3, 1, 2
Let o = 788/3 - 262. Let o + 1/3*y**2 - y = 0. Calculate y.
1, 2
Let l(b) be the first derivative of -3*b**4/8 + b**3/2 + 9*b**2/2 + 24. Factor l(u).
-3*u*(u - 3)*(u + 2)/2
Let l = 11 + -9. Determine i, given that -2*i**4 - 2*i**3 - l*i**3 + 2*i**2 + 0*i**4 + 4*i**4 = 0.
0, 1
Let w(z) be the first derivative of 2/5*z**5 + 0*z + 1/6*z**6 + 2 - 2/3*z**3 - 1/2*z**2 + 0*z**4. Factor w(p).
p*(p - 1)*(p + 1)**3
Let o(v) be the first derivative of -v**4 + 4*v**3/3 - 5. Solve o(g) = 0 for g.
0, 1
Let v = 42 + -42. Factor 2/3*g**2 + 0*g**3 - 1/3*g + 1/3*g**5 - 2/3*g**4 + v.
g*(g - 1)**3*(g + 1)/3
Let m(o) be the second derivative of -o**6/70 + o**5/28 + 5*o**4/84 - 5*o**3/42 - o**2/7 - 38*o - 1. Solve m(q) = 0.
-1, -1/3, 1, 2
Let m(i) be the third derivative of 1/105*i**7 + 1/6*i**4 + 0*i**6 + 0*i**3 - 1/10*i**5 + 0*i + 8*i**2 + 0. Factor m(v).
2*v*(v - 1)**2*(v + 2)
Let d(a) be the first derivative of -a + 4 - 7/6*a**2 - 5/9*a**3 - 1/12*a**4. Solve d(j) = 0 for j.
-3, -1
Let l(z) = -z**2 + 6*z + 3. Let f be l(6). Let 2 + 22*s**5 + 38*s**5 - 160*s**4 + 50*s**2 + 68*s**5 + 20*s - 40*s**f = 0. Calculate s.
-1/4, 1
Let w(x) be the second derivative of x**5/150 - x**4/60 - 2*x**3/15 - x**2/2 - 4*x. Let t(l) be the first derivative of w(l). Solve t(m) = 0.
-1, 2
Let y(c) be the second derivative of -3*c**5/20 - c**4/2 - 2*c. Let y(r) = 0. What is r?
-2, 0
Suppose l + 67 - 18 = 0. Let d be l/(-42) - (-1)/(-2). Factor -2/3 + 0*f + d*f**2.
2*(f - 1)*(f + 1)/3
Find c such that -7*c - c**3 + 2 - 7*c - 2*c**2 + 15*c = 0.
-2, -1, 1
Let x(h) = -292*h**2 - 800*h - 156. Let f(r) = 45*r**2 + 123*r + 24. Let o(c) = -32*f(c) - 5*x(c). Solve o(y) = 0.
-3, -1/5
Let h(x) = 2*x - 15. Let c(y) = -y + 7. Let i(a) = -5*c(a) - 3*h(a). Let p be i(8). Determine r, given that 8*r + 3 - 11 - 2*r**2 + 0*r**2 + 0*r**p = 0.
2
Suppose -20*v**3 - 9*v**2 + 144*v**4 + v**2 + 4*v**3 + 4*v - 44*v**3 = 0. What is v?
-1/4, 0, 1/3
Let z(f) = 15*f**4 + 21*f**3 + 15*f**2 + 9. Let y(i) = -7*i**4 - 10*i**3 - 7*i**2 - 4. Let m(b) = -9*y(b) - 4*z(b). Factor m(l).
3*l**2*(l + 1)**2
Let d(x) be the first derivative of x**7/630 - x**6/360 - x**5/180 + x**4/72 + 5*x**2/2 + 6. Let f(i) be the second derivative of d(i). Factor f(s).
s*(s - 1)**2*(s + 1)/3
Let y(u) be the second derivative of -9*u**6/5 + 33*u**5/5 - 157*u**4/18 + 44*u**3/9 - 4*u**2/3 - 4*u. Determine a, given that y(a) = 0.
2/9, 1
Determine t, given that -4*t - 2*t**3 - 4*t**4 - 2*t**2 + 5*t**4 + 6*t + t**4 = 0.
-1, 0, 1
Let n(p) = 2*p**3 + 2*p**2 + 58*p. Let f(q) = -q**3 - q**2 - 19*q. Let r(a) = 14*f(a) + 5*n(a). Factor r(i).
-4*i*(i - 2)*(i + 3)
Let x = -17/3 + 6. Factor 0*m + 0 + x*m**5 - 1/3*m**3 + 2/3*m**2 - 2/3*m**4.
m**2*(m - 2)*(m - 1)*(m + 1)/3
Suppose 0 = -0*a + a - 3. Let q(p) be the second derivative of -25*p**5 + 0 - 25*p**4 - 40/3*p**a - 125/12*p**6 + p - 4*p**2. Solve q(r) = 0 for r.
-2/5
Find x, given that 10/3 - 2/3*x**2 + 8/3*x = 0.
-1, 5
Suppose -2*i = -4*a - i, 0 = 4*a + 3*i. Suppose a = 3*m - 4*m + 3. Factor 0*n - n**2 + n + n**4 + 3*n**m - 4*n**3.
n*(n - 1)**2*(n + 1)
Let t be (0/2)/((2 - 2) + 2). Factor -3/5*k**5 + t*k**2 + 0*k + 0 - 3/5*k**3 + 6/5*k**4.
-3*k**3*(k - 1)**2/5
Let i(u) be the third derivative of -u**5/105 + 5*u**4/42 + 14*u**2. Suppose i(r) = 0. What is r?
0, 5
Let m(d) be the first derivative of d**4/16 - 3*d**2/8 + d/2 + 1. Solve m(j) = 0.
-2, 1
Find q such that 21/2*q**3 + 5/2*q**5 + 0 + q - 11/2*q**2 - 17/2*q**4 = 0.
0, 2/5, 1
Let v = 16 - 0. Determine i so that -v*i**5 + 2*i**3 + 2*i**5 + 12*i**5 = 0.
-1, 0, 1
Suppose -5*y = -4*d + 29, -3*d - 5*y = -y + 17. Let a = d - -1. Suppose -6*s**4 - a*s + 6*s**2 + 2*s**3 + 0*s + 0*s = 0. What is s?
-1, 0, 1/3, 1
Let x = 1 + 1. Suppose -2*t - 2*w + 0*w = 0, 2*t + w - x = 0. Solve 12*p**2 + t*p**4 - 9*p**3 + p**3 - 8*p + 7 - 5 = 0 for p.
1
Let t be (-1)/(-4) - 5/20. Let f = -6 + t. Let d(m) = -19*m**2 + 13*m. Let w(p) = -10*p**2 + 7*p. Let l(c) = f*d(c) + 11*w(c). Solve l(u) = 0.
0, 1/4
Let r be (-4 + (-120)/(-117) + 3)*24. Factor -12/13*n**4 + 0 - 24/13*n**2 - 2*n**3 - 2/13*n**5 - r*n.
-2*n*(n + 1)**2*(n + 2)**2/13
Let h(j) = 3*j**2 - 4*j + 5*j + 4*j. Let c(l) be the first derivative of -l**3/3 - l**2 + 8. Let m(x) = 10*c(x) + 4*h(x). Factor m(k).
2*k**2
Suppose s = -5*g - 19, -5*g - 8 + 1 = 3*s. Suppose 0 = s*k - k - 15. Factor 1 + 4*t**2 - t**2 + t**k + 3*t + 0*t.
(t + 1)**3
Let t = -139 + 27. Let f = -558/5 - t. Factor -f*p**3 - 2/5*p - 4/5*p**2 + 0.
-2*p*(p + 1)**2/5
Suppose 3*x = -x. Let v(r) be the third derivative of 0*r**5 - 1/504*r**8 - 1/180*r**6 + x*r**3 + r**2 + 0*r + 0 + 0*r**4 + 2/315*r**7. Factor v(m).
-2*m**3*(m - 1)**2/3
Let c be (-2)/5*-3*25/75. Determine k so that 2/5 + 2/5*k**3 - c*k - 2/5*k**2 = 0.
-1, 1
Determine z so that 8*z + z**2 - 2*z**2 + z**3 - 8*z = 0.
0, 1
Let s(q) be the first derivative of 0*q + 3 + 1/42*q**4 - 1/210*q**5 - 1/21*q**3 + 1/2*q**2. Let f(y) be the second derivative of s(y). Factor f(x).
-2*(x - 1)**2/7
Let p(y) be the second derivative of -1/6*y**4 + 0*y**2 + 0 + 1/10*y**5 - 3*y - 1/60*y**6 + 0*y**3. Factor p(u).
-u**2*(u - 2)**2/2
Factor -1/2*i**2 + 1 + 1/2*i.
-(i - 2)*(i + 1)/2
Let r(f) be the first derivative of -f**5/20 - f**4/16 + f**3/12 + f**2/8 - 6. Determine p so that r(p) = 0.
-1, 0, 1
Suppose 3 = 4*l - 5. Solve -2*r**4 - 15*r + 0 - 4*r**4 + 30*r**3 + 0*r**4 - 6 - 15*r**5 + 12*r**l = 0 for r.
-1, -2/5, 1
Suppose 2*z = 7*z - 15. Let q = -1 + z. Factor q*a**5 + 3*a**3 - 4*a**4 + 2*a**2 - a**3 + 2*a**4 - 4*a**5.
-2*a**2*(a - 1)*(a + 1)**2
Find k, given that -2*k**2 + 4*k - 1 + 6*k**4 - 6*k**2 - 2*k**4 - 8*k**3 + 5 + 4*k**5 = 0.
-1, 1
Let s(g) = 20*g**2 - 12*g - 8. Let f(x) = -x**2 + 1. Let i(h) = 16*f(h) + s(h). Factor i(y).
4*(y - 2)*(y - 1)
Let a(g) be the third derivative of -g**6/120 - 3*g**5/40 - g**4/4 - g**3/3 - 29*g**2. What is p in a(p) = 0?
-2, -1/2
Suppose -6*j = -11*j + 25. Let y(r) be the third derivative of 0 - 2*r**2 - 1/30*r**j + 1/40*r**6 - 1/8*r**4 + 0*r + 1/3*r**3. Factor y(c).
(c - 1)*(c + 1)*(3*c - 2)
Suppose -v = v + 8, 4*v + 10 = -3*f. Suppose 12 = -f*i + 6*i. Solve 0*g**5 - i*g**3 + g**5 + 2*g**3 = 0 for g.
-1, 0, 1
Factor 1/5*a**2 - 1 + 4/5*a.
(a - 1)*(a + 5)/5
Let k(b) = 9*b**2 - 6*b - 3. Let n(m) = -19*m**2 + 12*m + 7. Let p(y) = -13*k(y) - 6*n(y). Factor p(v).
-3*(v - 1)**2
Let n be (2 - 0) + (-6)/(-3). Find r such that -22*r**n - 5*r - 36*r**3 + 11*r - 9*r**2 + r**4 = 0.
-1, 0, 2/7
Let v(d) = d + 20. Let w be v(-15). Let w*b**2 - 2*b**2 + 3*b**2 - 4*b**2 + 2*b = 0. What is b?
-1, 0
Factor 9 - 30*r - 34*r + 105*r**3 - 117*r**3 + 16*r + 51*r**2.
-3*(r - 3)*(r - 1)*(4*r - 1)
Let u(t) be the first derivative of t**7/2100 - t**6/225 + t**5/75 - t**3 - 3. Let g(p) be the third derivative of u(p). Factor g(r).
2*r*(r - 2)**2/5
Let y(g) = -g**3 + 5*g**2 - 4*g + 5. Let m be y(4). Factor -6*i**3 + 4*i**2 + 0*i**2 - i**m - 2*i**4 - 2 - 2*i - i**5 + 10*i**3.
-2*(i - 1)**2*(i + 1)**3
Let g(t) be the third derivative of 1/60*t**5 