pose 15 = 3*j + 3. Factor 0*g**4 - g**3 + 3*g - 2*g**3 + 2*g**j - 3*g**2 + g**4.
3*g*(g - 1)**2*(g + 1)
Let q(i) be the second derivative of 0 - 2*i + 0*i**2 + 1/6*i**4 - 2/3*i**3. Suppose q(v) = 0. What is v?
0, 2
Let c(p) be the third derivative of p**7/1680 - p**6/720 + p**3/3 + 3*p**2. Let o(n) be the first derivative of c(n). Suppose o(u) = 0. Calculate u.
0, 1
Let w = 14/3 - 10/3. Determine m, given that 2/3*m**3 + 0 - w*m - 2/3*m**2 = 0.
-1, 0, 2
Let x = 3 + -5/2. Let p = 578 + -576. Solve -1/4 - x*v**p + 3/4*v = 0 for v.
1/2, 1
Factor 1 + 2*j**2 - 1/2*j**3 - 5/2*j.
-(j - 2)*(j - 1)**2/2
Let h(z) be the first derivative of -z**6/1260 + z**4/84 + 2*z**3/3 + 4. Let j(d) be the third derivative of h(d). Suppose j(n) = 0. What is n?
-1, 1
Let k = -2 - -8/3. Factor -1/3*y**2 - k*y**4 + 0*y + 0 + y**3.
-y**2*(y - 1)*(2*y - 1)/3
Suppose -6 = -b - 4. Factor -9*c**2 + 6*c - 3*c - c + 11*c**b.
2*c*(c + 1)
Let h(q) be the second derivative of q**5/30 - q**3/3 - 2*q**2/3 + 3*q. Factor h(i).
2*(i - 2)*(i + 1)**2/3
Let d = -164/17 - -19697/2040. Let t(f) be the third derivative of d*f**5 - 1/24*f**4 + 0*f + 0 + f**2 + 1/12*f**3. Factor t(n).
(n - 1)**2/2
Let x(l) be the first derivative of 1/2*l**2 - 1 + 0*l**3 - 1/48*l**4 + 0*l + 0*l**5 + 1/240*l**6. Let i(k) be the second derivative of x(k). Factor i(v).
v*(v - 1)*(v + 1)/2
Let k(p) = 4*p**2 - 1. Let t be k(-1). Factor 3*s**2 + 0*s - 3*s - t - 2*s**3 + 0*s + 5*s**3.
3*(s - 1)*(s + 1)**2
Suppose 4*c + 8 = 0, -3*h + 30 = -3*c - 0*c. Let z = h + -6. Factor 0 - 4/5*g + 2/5*g**z.
2*g*(g - 2)/5
Let c(b) = b**5 - b**4 + b - 1. Let s(r) = 6*r**5 - 24*r**4 + 30*r**3 - 14*r**2 + 2. Let v(g) = -2*c(g) - s(g). Factor v(i).
-2*i*(i - 1)**3*(4*i - 1)
Let d(r) be the second derivative of 6*r + 0 - 5/6*r**3 - 3/2*r**2 + 1/6*r**4. Find v, given that d(v) = 0.
-1/2, 3
Let f = 126 - 121. Factor 0 + 0*d - 2/7*d**f + 2/7*d**4 + 0*d**2 + 4/7*d**3.
-2*d**3*(d - 2)*(d + 1)/7
Let s be (3/(-7))/(10/(-70)). Let r(i) be the third derivative of 0 - i**2 + 1/36*i**4 + 0*i + 1/90*i**5 - 1/9*i**s - 1/180*i**6. Factor r(q).
-2*(q - 1)**2*(q + 1)/3
Solve 0*j + 6/5*j**2 + 3/5*j**5 - 3/5*j**3 + 0 - 6/5*j**4 = 0 for j.
-1, 0, 1, 2
Suppose 5*f**4 - 3*f**3 + 9*f**3 + 10*f**2 + f**5 + 5*f + 1 + 4*f**3 = 0. Calculate f.
-1
Suppose 0 = -3*m + 5*m. Let d(a) be the third derivative of 0*a + 0*a**3 + 1/72*a**4 + 2*a**2 - 1/630*a**7 + 1/120*a**6 + m - 1/60*a**5. Factor d(k).
-k*(k - 1)**3/3
Let t(d) be the second derivative of 0*d**2 + 0 + 7*d - 1/4*d**4 + 3/2*d**3. Factor t(p).
-3*p*(p - 3)
Let n = -66 - -68. Let b(f) be the third derivative of 0*f**4 + 0*f + 1/21*f**3 + 0 - 1/210*f**5 - n*f**2. Factor b(w).
-2*(w - 1)*(w + 1)/7
Determine b, given that 0 + 0*b - 4/11*b**4 - 2/11*b**5 + 2/11*b**3 + 4/11*b**2 = 0.
-2, -1, 0, 1
Let y(g) be the third derivative of -g**5/100 + g**4/40 + 6*g**2. Let y(v) = 0. Calculate v.
0, 1
Let m(n) be the third derivative of n**7/210 - n**6/60 - n**5/20 + n**4/6 + 2*n**3/3 - 3*n**2. What is c in m(c) = 0?
-1, 2
Solve 2*l**2 + 2*l**5 - 2*l**3 - 2*l**4 + 0*l + 2*l - 2*l = 0.
-1, 0, 1
Let d = 1412/129 - 12/43. Suppose f = -5, 4*f + 5 = -3*s - 2*s. Factor -8/3*x**s - 8*x**2 - d*x - 16/3 - 1/3*x**4.
-(x + 2)**4/3
Suppose -16/7*l**2 + 4/7*l**3 + 3*l - 9/7 = 0. Calculate l.
1, 3/2
Let q(h) be the second derivative of -1/252*h**7 + 1/60*h**5 + 0*h**6 + 0*h**2 + 0 - 2*h - 1/36*h**3 + 0*h**4. Solve q(g) = 0 for g.
-1, 0, 1
Let k = -234 + 2108/9. Factor 2/9*v + 0 + k*v**2.
2*v*(v + 1)/9
Let l(t) be the second derivative of -t**7/3360 + t**6/288 - t**5/60 + t**4/24 - t**3/3 + t. Let o(i) be the second derivative of l(i). Factor o(x).
-(x - 2)**2*(x - 1)/4
Let y(h) be the first derivative of 1/9*h**3 + 0*h + 1/6*h**2 + 3. Solve y(o) = 0 for o.
-1, 0
Let g = 1892 + -28364/15. Let z(t) be the first derivative of g*t**5 - 7/9*t**3 - 2 + 0*t - 2/3*t**4 - 1/6*t**2. Factor z(r).
r*(r - 1)*(4*r + 1)**2/3
Let p(f) be the third derivative of 0*f - 1/6*f**3 + f**2 + 1/24*f**4 + 1/30*f**5 + 0. Determine y so that p(y) = 0.
-1, 1/2
Let m = 10 - 8. Let d be 4/m - (-15)/(-9). Determine o, given that -d*o**3 - 1/3*o**2 + 0 + 1/3*o**4 + 1/3*o = 0.
-1, 0, 1
Suppose -3*b = -4*b - 5. Let w = 8 + b. Let -w + 2*a**2 + 2 + 4*a**2 - 5*a**2 = 0. What is a?
-1, 1
Let n(m) be the second derivative of -m**4/18 + 5*m**3/36 - m**2/12 + 20*m. Factor n(s).
-(s - 1)*(4*s - 1)/6
Suppose 0 + 1/2*t**2 - 1/4*t**3 - 1/4*t = 0. Calculate t.
0, 1
Factor -2/7*a**3 - 2/7*a**4 + 0*a**2 + 0 + 0*a.
-2*a**3*(a + 1)/7
Let b = -428 + 430. Determine m, given that -16/11*m**3 + 2/11 + 24/11*m**b - 12/11*m = 0.
1/2
Let p(t) be the third derivative of 0*t + 1/210*t**7 + 0 + 0*t**3 + 7/360*t**6 - 5/1008*t**8 - 1/60*t**5 - 1/36*t**4 + 6*t**2. Determine z, given that p(z) = 0.
-1, -2/5, 0, 1
Let q(v) be the second derivative of -v**5/30 + v**4/12 + 2*v**3/3 + 7*v**2/2 - 7*v. Let g(a) be the first derivative of q(a). Suppose g(i) = 0. What is i?
-1, 2
Let w(g) be the second derivative of -3/4*g**4 + 3/2*g**3 + 3/20*g**5 + 0 - 3/2*g**2 + 3*g. Factor w(b).
3*(b - 1)**3
Let f be (-3)/(-3)*6/2. Let y = 6 - f. Factor -q**y - q**2 - q**4 - 2*q**2 + 4*q**3 + q.
-q*(q - 1)**3
Let a(k) = 9*k**3 + 7*k**2 + 8*k - 8. Let q(h) = -h**3 - h**2 - h + 1. Suppose -85 = -4*m + 11. Let x(f) = m*q(f) + 3*a(f). Suppose x(u) = 0. Calculate u.
0, 1
Find d, given that 4/3*d**3 - 4/3*d + 0 + 0*d**2 = 0.
-1, 0, 1
Let t(m) be the first derivative of 12*m**3/5 + 3*m**2/10 - 3*m/5 + 3. Factor t(n).
3*(3*n + 1)*(4*n - 1)/5
Determine o so that 0 - 1/3*o**3 - 2/3*o + o**2 = 0.
0, 1, 2
Let u(s) be the second derivative of -s**6/60 - 3*s**5/40 - s**4/8 - s**3/12 + 9*s. What is l in u(l) = 0?
-1, 0
Let r(q) be the first derivative of 3 + 0*q**4 + 1/10*q**5 - 1/3*q**3 + 2*q + 0*q**2. Let h(l) be the first derivative of r(l). Factor h(p).
2*p*(p - 1)*(p + 1)
Let d be (-512)/(-128) - 3*(-2)/(-3). What is m in 1/3*m**4 - 2/3*m + 5/3*m**3 - 1/3*m**d - m**5 + 0 = 0?
-1, -2/3, 0, 1
Let u(l) = l**2 - 2*l. Let s be u(3). Determine o so that -6*o**s - 3*o**2 - 8*o**3 + 3*o**4 + 5*o**3 + 9*o**2 = 0.
0, 1, 2
Let y(b) be the second derivative of -b**6/10 + b**4/2 - 3*b**2/2 - 3*b. Solve y(u) = 0 for u.
-1, 1
Let i(d) = 16*d**4 + 43*d**3 + 28*d**2 + 3*d + 2. Let h(m) = -17*m**4 - 43*m**3 - 27*m**2 - 2*m - 1. Let c(o) = 4*h(o) + 3*i(o). Find v, given that c(v) = 0.
-1, -2/5, 1/4
Let c(f) = f**3 - f**2 + f + 1. Let h(a) = 4*a**4 + 10*a**3 + 6*a**2 - 6*a - 6. Let r(n) = 6*c(n) + h(n). Find w such that r(w) = 0.
-4, 0
Let v(f) = -3*f**2 - 16*f - 12. Let d(y) = -y. Let t(l) = -4*d(l) + v(l). Factor t(q).
-3*(q + 2)**2
Suppose 4/5 - y + 1/5*y**2 = 0. Calculate y.
1, 4
Let v = 117/124 - 6/31. Factor v*g + 1/2 + 1/4*g**2.
(g + 1)*(g + 2)/4
Factor -1/5*a**2 + 0 + 0*a + 6/5*a**3 + 4/5*a**5 - 9/5*a**4.
a**2*(a - 1)**2*(4*a - 1)/5
Let k be 6/2 + -9 + 9. Let -k*m**2 + 2 + 6 - 2 + 3*m + 0*m = 0. What is m?
-1, 2
Let w(l) be the third derivative of 0*l + 0*l**3 - 1/420*l**6 - 1/735*l**7 + 0*l**4 + 0*l**5 - l**2 + 0. Factor w(m).
-2*m**3*(m + 1)/7
Let n(d) be the second derivative of -4*d**7/21 + 7*d**5/10 - d**4/6 - d**3 + d**2 + 4*d. Suppose n(q) = 0. What is q?
-1, 1/2, 1
Let b(p) be the first derivative of 2*p**5/45 - p**4/6 + 2*p**3/27 + p**2/3 - 4*p/9 + 10. Factor b(d).
2*(d - 2)*(d - 1)**2*(d + 1)/9
Let w(n) be the second derivative of -17*n**4/3 - 10*n**3 + 4*n**2 - 5*n. Find b such that w(b) = 0.
-1, 2/17
Let n = 37/140 + -1/70. Factor 3/4*j - n*j**3 + 0*j**2 + 1/2.
-(j - 2)*(j + 1)**2/4
Let w = 646/5 + -129. Factor 2/5*m**2 + 0*m + 0 - 1/5*m**3 - w*m**4.
-m**2*(m - 1)*(m + 2)/5
Suppose 4*c = x - 4, x - 3 - 1 = 0. Let g(h) be the second derivative of 0*h**2 + c*h**4 + 1/60*h**5 - 1/18*h**3 + h + 0. Factor g(t).
t*(t - 1)*(t + 1)/3
Let i = 16 - 11. Solve -4*o - i*o**2 - 6*o**4 - 5*o**3 + 6*o**3 + 7*o**2 + 7*o**3 = 0.
-2/3, 0, 1
Let b = -3 + 5. Let p(r) = -21*r**3 + 51*r**2 - 61*r + 9. Let m(k) = 4*k**3 - 10*k**2 + 12*k - 2. Let j(z) = b*p(z) + 11*m(z). Factor j(y).
2*(y - 2)*(y - 1)**2
Let n(x) be the third derivative of 0 - 1/480*x**6 - 2*x**2 + 0*x + 0*x**5 + 0*x**4 + 0*x**3 + 1/1344*x**8 + 0*x**7. Factor n(a).
a**3*(a - 1)*(a + 1)/4
Let c(b) = -49*b**4 - 171*b**3 - 85*b**2 + 93*b - 13. Let x(y) = -y**3 + y**2 - y + 1. Let o(p)