 + 0 + 4/5*r**2 - 2/5*r = 0.
0, 1
Let t(j) be the second derivative of 1/30*j**6 + 1/126*j**7 + 0*j**3 + 0*j**4 + 0 + 1/30*j**5 + 0*j**2 + 9*j. Determine s so that t(s) = 0.
-2, -1, 0
Let p(m) = -m**3 + 6*m**2 - 3*m - 10. Let h be p(5). Find y such that -y**2 + h + 1/2*y = 0.
0, 1/2
Factor -3*u**3 - 217*u**4 + 9 + 214*u**4 + 15*u - 6*u**2 + 15*u**2 - 3.
-3*(u - 2)*(u + 1)**3
Let u be (-3)/(-1) + (10 - 14). Let g be -1 - (-1 - (-1 - u)). Solve g*v**4 + 0*v**2 + 3/5*v - 6/5*v**3 + 3/5*v**5 + 0 = 0.
-1, 0, 1
Let l(a) = 5*a**3 + 9*a**2 - 2. Let u(x) = 16*x**3 + 27*x**2 - 7. Let m(b) = -7*l(b) + 2*u(b). Factor m(s).
-3*s**2*(s + 3)
Suppose 4 + 8 = -4*c. Let i(r) = -r**3 + r**2. Let x(k) = 2*k**4 - k**3 - 3*k**2 + 4*k - 2. Let n(z) = c*i(z) - x(z). Factor n(l).
-2*(l - 1)**3*(l + 1)
Suppose -n + 4*n - 12 = 0. Factor -t**3 - t**n + 3*t**3 + 3*t**4.
2*t**3*(t + 1)
What is z in 0*z + 0 + 0*z**2 + 4/7*z**3 = 0?
0
Suppose 3*d - 54 = d. Factor -8*c - c + d*c**2 - 12*c**4 + 3*c - 9*c**3.
-3*c*(c - 1)*(c + 2)*(4*c - 1)
Let a(t) be the second derivative of t**4/6 - t**2 + 10*t. Factor a(x).
2*(x - 1)*(x + 1)
Determine n so that 3*n**3 - 12*n**5 + 0 - 4*n - 4*n**2 + 11*n**5 + 0 + 2*n**4 = 0.
-1, 0, 2
Let l(d) be the third derivative of d**6/180 - d**5/30 + d**4/12 + d**3/3 - 2*d**2. Let q(h) be the first derivative of l(h). Solve q(p) = 0.
1
Suppose 5*l - 8 + 3 = 0. Let i(h) = -2*h**3 + 4*h - 1. Let n be -2 + 1 + -3 - -3. Let u(p) = -p**3 + p + 1. Let m(o) = l*i(o) + n*u(o). Factor m(q).
-(q - 1)**2*(q + 2)
Let t(b) = -10*b**4 - 100*b**3 + 230*b**2 - 210*b. Let j(q) = -q**4 - 9*q**3 + 21*q**2 - 19*q. Let g(u) = 45*j(u) - 4*t(u). Factor g(a).
-5*a*(a - 1)**2*(a + 3)
Factor -4*b**3 - 2*b**3 - 8*b**2 - 2*b - 4*b + 4*b**3.
-2*b*(b + 1)*(b + 3)
Let a(o) be the first derivative of -o**4/10 + 8*o**3/15 - 4*o**2/5 + 20. Factor a(w).
-2*w*(w - 2)**2/5
Solve -12/17*f + 26/17*f**2 + 0 + 10/17*f**3 = 0 for f.
-3, 0, 2/5
Let g = -6 + 9. Factor -f**2 + 0*f**2 + 4*f**2 + g*f.
3*f*(f + 1)
Let o be (2/(-8))/((-12)/24). Determine y, given that -3/2*y**3 + o*y**4 + y**2 + 0*y + 0 = 0.
0, 1, 2
Let x(w) = -w**2 + 5*w + 8. Let d be x(6). Factor -4/7 + 6/7*v**d + 10/7*v.
2*(v + 2)*(3*v - 1)/7
Let i(m) = m**2. Let k(c) = -2*c**4 - 10*c**3 - 20*c**2 - 8*c. Let t(y) = -4*i(y) - k(y). Solve t(l) = 0 for l.
-2, -1, 0
Suppose -2*j - 10 = -4*s, 0*s - 4*s + 5*j = -13. Let i(q) be the first derivative of -14/15*q**3 + q**s - 2/5*q + 3/10*q**4 + 1. What is r in i(r) = 0?
1/3, 1
Let h(d) be the second derivative of -d**10/40320 + d**8/8960 - 5*d**4/12 - 2*d. Let a(o) be the third derivative of h(o). Find c, given that a(c) = 0.
-1, 0, 1
Suppose 7*t = -7 + 21. Factor 0 + 1/3*u**3 - 2/3*u - 1/3*u**t.
u*(u - 2)*(u + 1)/3
Suppose 0 = 5*q - 3*p - 18, q + q - 4 = -2*p. Factor -3*m + 5 - q*m**2 - 5.
-3*m*(m + 1)
Let j(z) be the first derivative of -4*z**5/25 + 2*z**4/5 - 4*z**3/15 + 16. Factor j(c).
-4*c**2*(c - 1)**2/5
Let j = -5 + 6. Let q be (1 + -1)/(j - 0). Factor q + 4/7*k**2 + 2/7*k**3 + 2/7*k.
2*k*(k + 1)**2/7
Factor -14/3*k**2 + 4*k + 0*k**3 + 0 + 2/3*k**4.
2*k*(k - 2)*(k - 1)*(k + 3)/3
Let q(n) be the second derivative of 2*n**7/3 - 34*n**6/15 + 9*n**5/5 + 5*n**4/3 - 8*n**3/3 + 22*n - 1. Factor q(g).
4*g*(g - 1)**3*(7*g + 4)
Find v, given that 16/9*v**2 - 4/9 + 2/9*v + 10/9*v**3 = 0.
-1, 2/5
Suppose 0 = j + j - 4*q - 26, -q = 5*j - 10. Let o be 0/(-2 + 3 - j). Determine v so that -2/3*v**2 + 0 + o*v - 2/3*v**3 = 0.
-1, 0
Let u(i) be the first derivative of 1/12*i**3 + 1/2*i**2 - 1/4*i + 4 - 1/4*i**4. Factor u(y).
-(y - 1)*(y + 1)*(4*y - 1)/4
Let y = -44 - -46. Factor 0*r - 1/2*r**5 + 0*r**y + 0*r**4 + 1/2*r**3 + 0.
-r**3*(r - 1)*(r + 1)/2
Let s(a) = -2*a - 9. Let u be s(-8). Let i = u + -5. Solve -8*n**i + n - n + 6*n**2 = 0 for n.
0
Let z(n) be the first derivative of -n**9/12096 + n**7/3360 + 7*n**3/3 - 2. Let w(s) be the third derivative of z(s). Let w(m) = 0. What is m?
-1, 0, 1
Suppose 5*a - 2*l = -4, a - 4 = -3*l + l. Let z(m) be the second derivative of m + 1/40*m**5 + 1/120*m**6 + 0*m**3 + 0*m**2 + 1/48*m**4 + a. Factor z(q).
q**2*(q + 1)**2/4
Let j(p) be the first derivative of -7*p**4/4 - 2*p**3 - 3*p**2/2 + 8*p + 4. Let y(q) = -q**2 - 1. Let u(x) = -j(x) - 6*y(x). Factor u(r).
(r + 1)**2*(7*r - 2)
Let b = -6/11 - -53/77. Let j(n) be the first derivative of 0*n - b*n**4 - 3 + 2/35*n**5 + 0*n**2 + 2/21*n**3. Solve j(q) = 0.
0, 1
Let j(q) be the second derivative of -q**5/25 - 8*q**4/15 - 32*q**3/15 + 53*q. Factor j(o).
-4*o*(o + 4)**2/5
Let j(i) be the first derivative of -i**4/18 - i**3/18 + i - 1. Let h(l) be the first derivative of j(l). Factor h(p).
-p*(2*p + 1)/3
Let r(n) = n**3 + 13*n**2 + 13*n + 15. Let m be r(-12). Suppose -1/2 + 4*h**4 + 23/2*h**m - 8*h**5 - 7/2*h**2 - 7/2*h = 0. What is h?
-1, -1/4, 1
Let q = -178/5 + 757/20. What is f in -1/4*f + 9/4*f**3 - 1/4 + q*f**2 = 0?
-1, -1/3, 1/3
Suppose 4*d - 13 = 3*t + 4, -7 = -2*d + t. Let 0 - 2/11*l**d - 6/11*l**3 + 2/11*l**4 + 4/11*l + 2/11*l**5 = 0. Calculate l.
-2, -1, 0, 1
Factor -5 + 10*p**3 - 25/2*p - 5*p**2 + 10*p**4 + 5/2*p**5.
5*(p - 1)*(p + 1)**3*(p + 2)/2
Let m(p) = -3*p**4 + 6*p**2 - 4*p + 1. Let r(f) be the third derivative of f**7/210 - f**3/6 + f**2. Let h(k) = m(k) + r(k). Let h(o) = 0. Calculate o.
-2, 0, 1
Suppose 5*j = 7 + 68. Let z(o) be the first derivative of 4*o - 25/2*o**5 + j*o**3 + 13*o**2 - 25/8*o**4 + 2. Determine a so that z(a) = 0.
-2/5, 1
Let 2*p**3 + 0*p**3 + 10*p**5 - p**4 + 3*p**3 - 14*p**4 = 0. Calculate p.
0, 1/2, 1
Suppose 8*n = 3*n. Suppose -12 = -6*x - 0*x. Let n*s - x*s - 2*s + 10*s**2 = 0. Calculate s.
0, 2/5
Let d be (-12)/8*8/(-6). Factor -4*y**2 + 3*y + y**d - y**3 - 4*y - 1 - 2*y.
-(y + 1)**3
Let i = -76 + 230/3. Let h be 4/(-2)*2/(-6). Factor 0*n**2 + 4/3*n**3 + h - i*n**4 - 4/3*n.
-2*(n - 1)**3*(n + 1)/3
Let p(m) be the first derivative of -m**4/26 + 6*m**3/13 - 24*m**2/13 + 40*m/13 - 31. Factor p(t).
-2*(t - 5)*(t - 2)**2/13
Factor 2/3 + 4/3*a + 0*a**2 - 4/3*a**3 - 2/3*a**4.
-2*(a - 1)*(a + 1)**3/3
Let f(q) be the first derivative of -3*q**4/10 + 4*q**3/15 + q**2/5 - 20. Factor f(v).
-2*v*(v - 1)*(3*v + 1)/5
Let a = 49/1500 - 2/125. Let o(k) be the third derivative of 0*k + k**2 + 0 + 1/18*k**3 + 1/18*k**4 + a*k**5. Factor o(c).
(c + 1)*(3*c + 1)/3
Factor 0 - 2/5*f**2 - 6/5*f.
-2*f*(f + 3)/5
Let y(p) = -2*p**3 + 2*p**2 - 10*p - 9. Let w(i) = -3*i**3 + 3*i**2 - 9*i - 9. Let u(k) = -5*w(k) + 6*y(k). Determine x, given that u(x) = 0.
-1, 3
Factor -2/9*d**4 + 4/9*d**2 + 8/3*d - 8/9*d**3 - 2.
-2*(d - 1)**2*(d + 3)**2/9
Factor -142*g**3 - 14*g**2 + 152*g**3 + 8*g + 8 - 12*g**2.
2*(g - 2)*(g - 1)*(5*g + 2)
Let b be (96/300)/(2/5). Factor -2/5*u**5 + 0*u - 2/5*u**3 + b*u**4 + 0 + 0*u**2.
-2*u**3*(u - 1)**2/5
Let h(y) = -y**3 - 8*y**2 - 2*y - 6. Let d be h(-8). Suppose l + 3 - d = 0. Factor l*s**2 + 24*s**3 - 11*s**4 + 6*s**5 + 2*s - 19*s**2 - 9*s**4.
2*s*(s - 1)**3*(3*s - 1)
Suppose 3*z + 0*z = x + 14, -2*z + 5*x + 31 = 0. Find l such that -3*l**5 + 2 - 3*l**z - 6*l**4 - 2 = 0.
-1, 0
Factor 3 - 1 + 20*m**2 - 25*m**2 - 3*m.
-(m + 1)*(5*m - 2)
Factor 4*b**3 + 2*b**4 - b**5 - 11*b**3 + 8*b**3 - 2*b**2.
-b**2*(b - 2)*(b - 1)*(b + 1)
Suppose -7 = -2*f + 9. Let c(d) = -d**2 - d + 1. Let i(o) = -10*o**2 - 12*o + 8. Let a(r) = f*c(r) - i(r). Factor a(b).
2*b*(b + 2)
Suppose 78 = 5*u - 2*n - 0, -2*u + 34 = 2*n. Suppose -3*w = -5*v + u, -4*v = v - 4*w - 18. Factor 2/3*b**4 - 4/3*b**v + 0*b**3 + 0*b + 2/3.
2*(b - 1)**2*(b + 1)**2/3
Find n, given that 4/9*n**3 + 0*n + 0 - 2/9*n**2 - 2/9*n**4 = 0.
0, 1
Let c = 5/136 + 3/34. Let p(t) be the second derivative of 1/48*t**4 - 2*t + 0 - c*t**3 + 1/4*t**2. Let p(y) = 0. What is y?
1, 2
Let s be 27/12*8/(-3). Let c = -2 - s. Let -p**3 + 0 + 1/2*p**c + 0*p + 1/2*p**2 = 0. What is p?
0, 1
Suppose -8 = -6*p + 2*p. Let b be 3/2*p/9. Suppose -2/3*d**2 + 0*d**3 + 1/3*d**4 + b + 0*d = 0. What is d?
-1, 1
Let y = -211 - -6331/30. Let z(k) be the third derivative of 2*k**2 + 1/6*k**4 + y*k**5 + 0*k + 0*k**3 + 0. What is s in z(s) = 0?
-2, 0
Let d = -8 - -8. Let y(w) be the first derivative of -4/9*w**4 - 2/9*w**5 + 2/9*w**2 + d*w - 2/27*w**3 + 1. Find z, given that y(z) = 0.
-1, 0, 2/5
Let x = -2/15 - -8/15. Find b, given that -2/5*b**5 + 0*b + 2/5*b**4 + 0 