).
2*(j - 2)*(j - 1)**2
Let r(p) = -6 + p + 7 + 9. Let v be r(-8). Solve 2/5*b**3 + 0 + 2/5*b**v + 0*b = 0.
-1, 0
Let g(k) be the first derivative of 4 + 0*k**2 + 0*k**3 + 4*k + 1/24*k**4. Let r(p) be the first derivative of g(p). Let r(l) = 0. What is l?
0
Let f = -2 - -7/3. Factor 1/3*n - f + 2/3*n**2.
(n + 1)*(2*n - 1)/3
Let d(i) be the second derivative of 0*i**3 + 0*i**2 + 1/10*i**5 + 1/30*i**6 + 0 + 1/12*i**4 - 3*i. Factor d(f).
f**2*(f + 1)**2
Let w(p) be the first derivative of -3*p**4/4 - p**3 + 15*p**2/2 - 9*p - 53. Suppose w(o) = 0. What is o?
-3, 1
Let r be ((-3)/(-15))/(((-18)/(-15))/3). Determine s so that 1/4 - 1/4*s - r*s**2 = 0.
-1, 1/2
Let w(s) be the first derivative of s**5/20 + 5*s**4/16 + 7*s**3/12 + 3*s**2/8 + 2. Factor w(i).
i*(i + 1)**2*(i + 3)/4
Solve -2/7*o**3 + 4/7*o**2 + 0*o - 2/7*o**4 + 0 = 0 for o.
-2, 0, 1
Let p(j) be the first derivative of -2/3*j**3 - 1/24*j**4 + 0*j + 0*j**2 - 1/360*j**6 - 1/60*j**5 + 1. Let i(b) be the third derivative of p(b). Factor i(r).
-(r + 1)**2
Factor -6*y**3 + y**3 + 15*y - 7 + 3 - 6.
-5*(y - 1)**2*(y + 2)
Let t = -4 - -8. Factor 1 + 4*b**t - 8*b**3 + 0 - 1.
4*b**3*(b - 2)
Let u(w) be the second derivative of -w**7/2520 - w**6/180 - w**5/30 + w**4/12 + 4*w. Let z(d) be the third derivative of u(d). Let z(i) = 0. What is i?
-2
Let j = -430/3 + 144. Factor j - 3*k**3 - 2/3*k**2 + 3*k.
-(k - 1)*(k + 1)*(9*k + 2)/3
Factor -6/5*h**3 + 0 + 0*h - 3/5*h**4 - 3/5*h**2.
-3*h**2*(h + 1)**2/5
Let q be -11 - 3/((-15)/70). Let -1/4 - 1/4*i + 1/4*i**q + 1/4*i**2 = 0. Calculate i.
-1, 1
Let z = -3 - -6. Suppose -z*k - 9 = -6*k. Find s, given that 0 + 0*s + 1/3*s**2 + 4/3*s**4 - 5/3*s**k = 0.
0, 1/4, 1
Solve -8*w**3 - 6*w**4 + 11*w**2 - w**4 + w**2 + 3*w**4 = 0 for w.
-3, 0, 1
Solve 10*o**5 + 3*o**4 - 8*o**5 + 2*o - 4*o**2 - 4*o**3 - o**4 + 2 = 0.
-1, 1
Let h = 71 + -67. Let m(i) be the third derivative of -1/360*i**6 + 0 + 0*i - i**2 + 0*i**h + 0*i**3 + 1/180*i**5. Determine v, given that m(v) = 0.
0, 1
Let k(b) = b**2 - 4*b + 4. Let l be k(4). Let s = l - 1. Determine g, given that 2/3*g**s + 0*g**2 + 0 - 2/3*g = 0.
-1, 0, 1
Let c = 10 - 2. Factor 0*h + 12*h + c*h**3 + 0*h - 2 - 18*h**2.
2*(h - 1)**2*(4*h - 1)
Let n = 11 - 8. Factor -9*c**2 + 0*c**5 + 2*c**5 - c**5 - 6*c + 3*c**n + 9*c**4 + 2*c**5.
3*c*(c - 1)*(c + 1)**2*(c + 2)
Let g(w) = 11*w**3 + 11*w**2 - 11*w - 2. Let d(t) = 5*t**3 + 5*t**2 - 5*t - 1. Let s(z) = 9*d(z) - 4*g(z). Find h, given that s(h) = 0.
-1, 1
Let v be 6/12*(-30)/(-45). Factor -1/3*q**2 - v - 2/3*q.
-(q + 1)**2/3
Let h(c) be the second derivative of -1/12*c**4 - 1/6*c**3 + 1/2*c**2 + 1/20*c**5 + 0 - c. Factor h(y).
(y - 1)**2*(y + 1)
Let z(y) = -y**3 + 5*y**2 - 4*y + 3. Let i be z(4). Determine x so that 0*x**i + 4*x**3 + 18*x**4 - 3*x**2 + 2*x**3 - 3*x**3 = 0.
-1/2, 0, 1/3
Let r(f) be the second derivative of -f**7/189 + 2*f**6/135 - f**5/90 + 14*f. Factor r(u).
-2*u**3*(u - 1)**2/9
Factor 6*j + j**5 + 12*j**3 + 21*j**2 + 2*j**5 + 15*j**4 + 15*j**3.
3*j*(j + 1)**3*(j + 2)
Find p such that 0 + 0*p**3 + 4/9*p**2 - 4/9*p**4 + 2/9*p**5 - 2/9*p = 0.
-1, 0, 1
Let d be (-1)/5 - 5/(-25). Let i(k) be the second derivative of d*k**2 + 0 - 1/18*k**4 - 1/9*k**3 + 2*k. Determine g, given that i(g) = 0.
-1, 0
Factor -1/8*h**2 + 0 + 3/8*h.
-h*(h - 3)/8
Let s = -809 + 8103/10. Let l(f) be the second derivative of -f**2 + 0 - 7/3*f**3 - f - s*f**5 - 4/15*f**6 - 5/2*f**4. Find u, given that l(u) = 0.
-1, -1/4
Let k be 3276/(-576)*4/(-14). Factor 1/8*q**5 + 0 + 3/4*q**4 + k*q**3 + 1/2*q + 3/2*q**2.
q*(q + 1)**2*(q + 2)**2/8
Let y(v) be the second derivative of v**7/7 - 13*v**6/15 + 11*v**5/5 - 3*v**4 + 7*v**3/3 - v**2 + 14*v. Let y(x) = 0. What is x?
1/3, 1
Let z(k) be the first derivative of 0*k - 1/7*k**2 + 2/21*k**3 - 2. Factor z(l).
2*l*(l - 1)/7
Let z(v) be the second derivative of v**7/1260 + v**6/540 - 7*v**3/6 + 8*v. Let y(s) be the second derivative of z(s). Factor y(d).
2*d**2*(d + 1)/3
Factor 10*q**2 + 0 - 6*q**2 - 4 + 0*q**2.
4*(q - 1)*(q + 1)
Let a(w) = -5*w**2 - 9*w - 4. Suppose -c = 4*c - 20. Let g(y) = 0 + c*y - 5 + 2*y**2 + 5 + 2. Let x(z) = -3*a(z) - 7*g(z). Find n such that x(n) = 0.
-1, 2
Factor -29*v**2 - v**2 - 84*v + 0*v**4 + 9*v**4 + 21*v**3 - 24.
3*(v - 2)*(v + 2)**2*(3*v + 1)
Let q(x) be the second derivative of -x**6/240 + 5*x**4/96 - x**2/4 - 9*x. Suppose q(l) = 0. What is l?
-2, -1, 1, 2
Let v be -39 - (-1 + -2 - 0). Let p be ((-2)/(-6))/((-6)/v). Factor 0*n**3 - 2/3*n**4 + 4/3*n**p + 0*n - 2/3.
-2*(n - 1)**2*(n + 1)**2/3
Let b be (-12 + 12)/(-1 + 3). Let k be 3/9*9/6. Factor b + k*c**3 + 1/2*c + c**2.
c*(c + 1)**2/2
Let m = 7/31 - 1/279. Factor 2/3*k**2 + 2/9*k + 0 + m*k**4 + 2/3*k**3.
2*k*(k + 1)**3/9
Factor 3/2*x**3 - 1/6*x + 1/3*x**4 + 3/2*x**2 - 1/2.
(x + 1)**2*(x + 3)*(2*x - 1)/6
Let c(p) = p + 2. Let n be c(-2). Factor u - 3*u**3 + 2*u**3 + n*u**3.
-u*(u - 1)*(u + 1)
Let l(p) be the first derivative of -3*p**5/5 + 3*p**4/4 + 8. Solve l(g) = 0.
0, 1
Let t be 9/18*(-1)/2*-1. Factor -1/2*o**3 + 0*o**2 - t + 1/2*o + 1/4*o**4.
(o - 1)**3*(o + 1)/4
Factor 4/9*t**3 - 2/9*t**5 + 0*t**4 + 0*t**2 + 0 - 2/9*t.
-2*t*(t - 1)**2*(t + 1)**2/9
Suppose -q + 3 = 4, -5*h + q = -1. Suppose -3*w + 4 - 1 = 0, h = 5*u - 3*w - 17. Factor 3 - 5 - u*x - 3*x**2 + x**2.
-2*(x + 1)**2
Let r(i) = -4*i**3 + i**2 + i - 1. Let d(q) = 7*q**3 - 2*q**2 - 2*q + 2. Let z(k) = -3*d(k) - 5*r(k). Factor z(v).
-(v - 1)**2*(v + 1)
Let b(x) be the third derivative of -x**8/100800 - x**7/3150 - x**6/225 - x**5/10 - 9*x**2. Let o(i) be the third derivative of b(i). Let o(f) = 0. Calculate f.
-4
Let l(t) be the third derivative of -t**6/360 + t**3 + 2*t**2. Let w(s) be the first derivative of l(s). Find c such that w(c) = 0.
0
What is d in 0*d - 1/5*d**4 - 1/5*d**2 + 2/5*d**3 + 0 = 0?
0, 1
Let i be -6*2/4*-1. Suppose 2*d = -i*d. Factor -m**2 + d*m**2 + m + 0*m.
-m*(m - 1)
Let i be (2 + 3)*(-2)/(-2). Let d(x) be the first derivative of 0*x**4 + 2/15*x**i - 1/18*x**6 + 1 - 2/9*x**3 + 0*x + 1/6*x**2. Let d(a) = 0. What is a?
-1, 0, 1
Factor -10*q**3 - 15*q**4 + 11*q**2 + 5*q**2 + 5*q + 5*q - q**2.
-5*q*(q - 1)*(q + 1)*(3*q + 2)
Let y(f) be the first derivative of -f**5 + 5*f**3/3 - 9. Find n such that y(n) = 0.
-1, 0, 1
Let z be 2*1*(-1)/(-8). Let p = -119/4 + 30. Factor 1/2 - p*o**2 + z*o.
-(o - 2)*(o + 1)/4
Suppose -5 = -0*k - k. Determine r, given that r**4 + 0*r**2 + 0 - 1/2*r**k + 0*r**3 + 0*r = 0.
0, 2
Let g(u) = -2*u**4 + 29*u**3 - 67*u**2 - 10*u. Let k(s) = -s**3 - s**2 + 2*s. Let d(j) = 2*g(j) + 10*k(j). Suppose d(x) = 0. What is x?
0, 6
Let l be 1*(4/2 - -1). Find y such that -9*y**3 + 2*y**4 + y**4 + 9*y**2 + 3 - 3*y - l = 0.
0, 1
Factor -2/5*x - 2/15*x**2 + 0.
-2*x*(x + 3)/15
Suppose 3*o**5 + 2*o**3 + 3*o + 0*o - 8*o**3 = 0. What is o?
-1, 0, 1
Factor -3*k**2 - k**4 - 3*k**3 + 32 - 32 - k.
-k*(k + 1)**3
Let a(h) be the third derivative of h**5/30 + 7*h**4/36 + 2*h**3/9 - 26*h**2. Determine g, given that a(g) = 0.
-2, -1/3
Let p(d) be the second derivative of 25*d**7/14 + d**6 + 3*d**5/20 + 4*d. Suppose p(s) = 0. Calculate s.
-1/5, 0
Let u(q) be the second derivative of q**5/35 - q**4/7 + 4*q**3/21 + 28*q. Factor u(l).
4*l*(l - 2)*(l - 1)/7
Let p be (8/150)/((-96)/(-80)). Let m(n) be the third derivative of 0 + 2*n**2 + p*n**5 + 0*n**3 + 1/120*n**6 + 0*n + 1/18*n**4. Factor m(t).
t*(t + 2)*(3*t + 2)/3
Suppose -5*s = -0*y + 5*y - 5, 4*y = 2*s - 32. Determine u so that 15*u**2 - s*u**3 - 5*u**3 - 9*u**2 + 3*u**5 + 2*u**3 = 0.
-2, 0, 1
Factor 12*h + 3/2*h**3 - 6 - 15/2*h**2.
3*(h - 2)**2*(h - 1)/2
Let x(f) be the third derivative of f**6/40 + f**5/10 + f**4/8 + 11*f**2. Factor x(b).
3*b*(b + 1)**2
Let j(s) be the third derivative of -2*s**2 + 0 - 7/180*s**5 + 1/18*s**3 - 1/36*s**4 - 1/90*s**6 + 0*s. Suppose j(z) = 0. Calculate z.
-1, 1/4
Let k(o) be the third derivative of o**8/224 - o**7/28 + 9*o**6/80 - 7*o**5/40 + o**4/8 + 13*o**2. Let k(r) = 0. What is r?
0, 1, 2
Let p(k) be the third derivative of -1/120*k**5 + 0 + 3*k**2 + 0*k + 0*k**3 + 1/48*k**4. Factor p(f).
-f*(f - 1)/2
Let g be 12/10*(0 + 35/14). Suppose -8/7 - 24/7*q - 18/7*q**2 - 4/7*q**g = 0. Calculate q.
-2, -1/2
Let g(v) be the second derivative of -v**5/60 + v**3/18 - 4*v. Find b, given that g(b) = 0.
-1, 0, 1
Let p(s) be th