*5.
2*g**2*(g - 1)**2*(g + 1)/3
Factor -8/9 - 2*o**4 + 56/9*o - 122/9*o**2 + 28/3*o**3.
-2*(o - 2)**2*(3*o - 1)**2/9
Let p(j) = -j**2 + 3*j - 2. Let n(b) = 30*b + 4 - 11*b**2 - 6 - 19 + 2*b**2. Let i(w) = -2*n(w) + 21*p(w). Factor i(g).
-3*g*(g - 1)
Suppose -2*k = -5*r - 18, -3*k + 8 + 6 = -r. Determine w, given that -42 - 40 + 24 - 6 - 64*w + 16*w**3 + 4*w**k = 0.
-2, 2
Factor 0*i**2 + 0*i + 0 - 4/5*i**3.
-4*i**3/5
Determine r so that -3*r**5 - 24*r**3 + 5*r**2 + 5*r**2 - r**3 + 20*r**4 - 2*r**5 = 0.
0, 1, 2
Let b(h) be the first derivative of 3*h**4 - 3*h**3 - 3*h**2/2 - 10. Let b(w) = 0. Calculate w.
-1/4, 0, 1
Let t(p) be the third derivative of -p**6/4 + p**5/30 + p**4/6 - 5*p**2. Solve t(k) = 0.
-1/3, 0, 2/5
Let i(s) be the third derivative of s**8/120960 - s**7/7560 + s**6/1080 + s**5/20 - 6*s**2. Let o(x) be the third derivative of i(x). Find d such that o(d) = 0.
2
Suppose 10 = 4*j - d, d + 1 = -1. Find a, given that 2*a - 6*a**j + 5*a**3 + a**3 + 3 - 3 - 2*a**4 = 0.
0, 1
Suppose 2*u + 3*j + 23 = 27, 0 = 3*u - j - 17. Find i, given that 0*i - 6/7*i**3 + 2/7*i**2 + 6/7*i**4 - 2/7*i**u + 0 = 0.
0, 1
Let o be -4 + (-1 - (-42)/8). Let y(p) be the first derivative of 2 + o*p**4 - 1/2*p**2 + p - 1/3*p**3. Factor y(z).
(z - 1)**2*(z + 1)
Suppose 3*o - 5 = 7. Factor -2*b**o + 6*b**2 - 4*b**4 + 0*b**3 - b + 4*b**3 - 3*b.
-2*b*(b - 1)*(b + 1)*(3*b - 2)
Let s(u) be the first derivative of -1/6*u**6 + 8*u - 10/3*u**3 - 1/4*u**4 - 2 + 4/5*u**5 + 2*u**2. Determine v so that s(v) = 0.
-1, 2
Let x(q) = -q**3 + 15*q**2 - 13*q + 16. Let m = 24 + -10. Let n be x(m). Suppose 3/2*a + 81/2*a**2 - 66*a**3 + 72*a**5 - 3 - n*a**4 = 0. Calculate a.
-1, -1/4, 1/2, 2/3
Let v(a) be the first derivative of 3/4*a**4 - 2 - 3*a**3 - 3*a + 9/2*a**2. Factor v(s).
3*(s - 1)**3
Suppose 0 = d - 3*b - 14, 0*d - 5*b - 5 = 2*d. Let y = d + -2. Factor -y*z + z - 2*z + z**3 + 3*z.
z*(z - 1)*(z + 1)
Let a = 20 - 14. Let c be 8*(3 - 0)/a. Determine h, given that -2*h**4 + 2*h**c - 2*h**5 + 2*h**4 = 0.
0, 1
Let z(o) be the second derivative of -5*o**4/6 + 9*o**3 - 10*o**2 - 9*o. Let z(x) = 0. What is x?
2/5, 5
Let t(p) be the first derivative of -7*p**5/25 + p**4/10 + 35. Determine i, given that t(i) = 0.
0, 2/7
Let v(q) be the first derivative of -1/12*q**4 + 2/15*q**5 - 6 + 1/6*q**2 + 0*q - 2/9*q**3. What is w in v(w) = 0?
-1, 0, 1/2, 1
Factor 1217 + 4*f**2 + 4*f - 1217.
4*f*(f + 1)
Let g = -42 - -45. Let m(l) be the third derivative of 1/120*l**6 + 0*l**5 + 0*l**4 + 0 + 0*l**3 - 1/210*l**7 + g*l**2 + 0*l. Factor m(i).
-i**3*(i - 1)
Let f(x) be the second derivative of x**6/40 + x**5/10 + x**4/8 - 3*x**2/2 + 4*x. Let w(g) be the first derivative of f(g). Factor w(z).
3*z*(z + 1)**2
Let k(l) be the third derivative of 0*l + 1/35*l**7 - 1/16*l**6 + 5/16*l**4 + 0 - 3/40*l**5 + 4*l**2 - 1/4*l**3. Determine q so that k(q) = 0.
-1, 1/4, 1
Let z = 3 - 4. Let u be 2*(-2)/12 - z. Factor -2*y**2 + 8/3 + 0*y + u*y**3.
2*(y - 2)**2*(y + 1)/3
Let r(q) be the third derivative of q**6/360 - q**5/60 + q**4/24 - q**3/18 + 17*q**2. Factor r(y).
(y - 1)**3/3
Factor 2/3*j**5 + 0 + 0*j**4 - 2*j**3 + 0*j - 4/3*j**2.
2*j**2*(j - 2)*(j + 1)**2/3
Let g = 5 - 3. Let a be 3 - (-2)/(-1) - -1. Find i, given that i - i - g*i**a + 1 + i = 0.
-1/2, 1
Let i = 1457/70 + -103/5. Let l(y) be the first derivative of 1 - 1/7*y**2 + 0*y + i*y**4 - 4/21*y**3. Let l(x) = 0. What is x?
-1/3, 0, 1
Suppose 4*r - 166 = 5*k, 8*k - 3*r + 162 = 3*k. Let m be (-2)/3 - 40/k. Factor m*a**2 - 2/3 + 0*a.
2*(a - 1)*(a + 1)/3
Solve 2/9*v**2 + 0 - 2/9*v = 0.
0, 1
Suppose o = 1 + 1. Let v(t) be the first derivative of o*t**5 + 0*t - 1/8*t**2 + 5/6*t**3 - 33/16*t**4 - 2/3*t**6 - 2. Factor v(l).
-l*(l - 1)**2*(4*l - 1)**2/4
Let r(b) = -4*b**3 + 16*b**2 - 8*b + 4. Suppose 0 = -3*i - 3. Let h(f) = -f**4 + f**3 - f**2 - 1. Let y(u) = i*r(u) - 4*h(u). Factor y(o).
4*o*(o - 1)**2*(o + 2)
What is g in 2*g**3 + 3 + 2*g**2 - 7*g + 62*g**4 + 4*g**3 - 67*g**4 + g**5 = 0?
-1, 1, 3
Suppose 5*a = -2*a. Factor 3/4*l + 0*l**4 + a*l**2 + 3/4*l**5 - 3/2*l**3 + 0.
3*l*(l - 1)**2*(l + 1)**2/4
Let l be 22/(-3)*9/(-6). Let b be (6/(-3))/(-1) + 1. What is m in -l*m + 4 - m**2 - b*m - 7*m**2 = 0?
-2, 1/4
Let t(f) be the third derivative of f**5/180 + f**4/4 + 17*f**3/18 + 29*f**2. Factor t(j).
(j + 1)*(j + 17)/3
Determine b, given that -4/9*b**2 - 5/9*b**3 - 2/9*b**4 + 0 - 1/9*b = 0.
-1, -1/2, 0
Let w(r) = -r**5 + 6*r**4 - 3*r**3 - 8*r**2 - 6*r + 6. Let t(b) = -b**5 + 7*b**4 - 4*b**3 - 9*b**2 - 7*b + 7. Let m(x) = -6*t(x) + 7*w(x). Factor m(v).
-v**2*(v - 1)**2*(v + 2)
Let r(a) be the first derivative of a**6/45 + a**5/15 - 2*a**3/9 - a**2/3 + a + 3. Let h(q) be the first derivative of r(q). Factor h(o).
2*(o - 1)*(o + 1)**3/3
Factor -10*y**4 - 205*y**5 - 80*y + 45*y**2 - 40*y**3 - 64*y**2 - 32 + 204*y**5 - 61*y**2.
-(y + 2)**5
Let s(z) be the first derivative of 3*z**5/4 - 3*z**4/4 - z**3 + 3*z + 1. Let t(n) be the first derivative of s(n). Suppose t(f) = 0. Calculate f.
-2/5, 0, 1
Determine q, given that -11/4*q**2 - q**5 - 1/2 + 11/4*q + 13/4*q**4 - 7/4*q**3 = 0.
-1, 1/4, 1, 2
Let s = 94 - 91. Solve -3/4*f**s + 0*f + 9/4*f**2 - 3 = 0.
-1, 2
What is m in -32*m + 3 + 6 + 2 + 12*m**2 + 5 = 0?
2/3, 2
Let h(t) = 4*t**4 + 15*t**3 + 41*t**2 + 33*t + 8. Let d(a) = 2*a**4 + 7*a**3 + 21*a**2 + 17*a + 4. Let z(i) = 5*d(i) - 3*h(i). Solve z(r) = 0.
-2, -1
Let i = 259 - 181. Suppose -4*n - 2*a = -0*a - 154, 0 = -2*n - 2*a + i. Let 4*q + q**2 - n*q**4 - 6*q**3 - 3*q**2 - 14*q**5 - 24*q**3 = 0. What is q?
-1, 0, 2/7
Let g = 196/297 + 2/297. Factor 0 + 0*l + g*l**2.
2*l**2/3
Let b(h) be the first derivative of 0*h**5 + 1/2*h**6 - 4 + 0*h + 0*h**3 - 3/4*h**4 + 0*h**2. Let b(u) = 0. Calculate u.
-1, 0, 1
Factor -2/9*u + 4/9 - 2/9*u**2.
-2*(u - 1)*(u + 2)/9
Suppose 5/4*n**3 + 3/2*n**2 + 0 + 0*n - 1/4*n**4 = 0. Calculate n.
-1, 0, 6
Let w be -11*(-2)/18 - 1. Let p = -314 + 314. Factor p*x + w - 2/9*x**2.
-2*(x - 1)*(x + 1)/9
Let l(s) be the first derivative of s**4/36 - s**3/3 + 4*s**2/3 - 16*s/9 - 2. Factor l(j).
(j - 4)**2*(j - 1)/9
Factor -2/3*f**2 + 20/3*f - 50/3.
-2*(f - 5)**2/3
Let n(s) = s. Let y be n(3). Suppose -4*o = 4*d - 2 - 2, -y = -5*d - 3*o. Determine l, given that -1/4*l**4 + 0 + d*l - 1/2*l**2 - 3/4*l**3 = 0.
-2, -1, 0
Suppose -18*a - a**2 - 15*a - 49 + 19*a = 0. Calculate a.
-7
Let f be (-308)/231*2*(-5)/8. Factor 4/3*b**3 + 2/3*b + f*b**2 + 1/3*b**4 + 0.
b*(b + 1)**2*(b + 2)/3
Let l(t) be the first derivative of 2/21*t**3 + 1 + 4/7*t - 3/7*t**2. Factor l(a).
2*(a - 2)*(a - 1)/7
Let d(o) be the third derivative of -2*o**7/1785 + o**6/1020 + o**5/510 - o**2. Determine l, given that d(l) = 0.
-1/2, 0, 1
Let s(f) be the third derivative of f**5/480 + f**4/24 - 74*f**2. Let s(a) = 0. Calculate a.
-8, 0
Let m(j) = -1 - 6*j - 3 + 12*j**2 + j**2. Let o(d) = -d**2. Let c = 1 - -2. Let q(p) = c*o(p) + m(p). Factor q(a).
2*(a - 1)*(5*a + 2)
Find o, given that 0*o + 8*o**4 - 11/3*o**5 + 2/3*o**2 + 0 - 5*o**3 = 0.
0, 2/11, 1
Let n(h) be the second derivative of h + 3/98*h**7 + 0 + 0*h**2 - 3/14*h**4 + 9/35*h**5 - 1/7*h**6 + 1/14*h**3. Determine q, given that n(q) = 0.
0, 1/3, 1
Suppose 4*l - 1 = z - 2, -3*z + 3 = -3*l. Let b(c) be the first derivative of 0*c + z + 0*c**2 + 0*c**3 + 1/20*c**5 - 1/8*c**4. Factor b(x).
x**3*(x - 2)/4
Let l = -1279 - -758. Let z = 2641/5 + l. Factor 0 + 16/5*u - 8*u**2 + 2/5*u**5 + z*u**3 - 14/5*u**4.
2*u*(u - 2)**3*(u - 1)/5
Let k(m) be the second derivative of -5*m**7/42 + 2*m**6/3 - m**5 - 5*m**4/6 + 25*m**3/6 - 5*m**2 + 11*m. Solve k(z) = 0 for z.
-1, 1, 2
Factor -10/7*z - 2/7*z**3 - 12/7*z**2 + 0.
-2*z*(z + 1)*(z + 5)/7
Let a be (-140)/6*(-126)/105. Let u be (2/8)/(a/32). Let 8/7*r - 16/7*r**2 + 10/7*r**3 - u*r**4 + 0 = 0. What is r?
0, 1, 2
Let d(h) be the first derivative of 1 - 3/4*h**4 + 1/2*h**6 + 0*h**2 - h**3 + 3/5*h**5 + 0*h. Solve d(n) = 0.
-1, 0, 1
Let p = -1007/15 - -205/3. Find c such that -4/5*c + 2*c**4 - 2/5*c**3 - 2*c**2 + 0 + p*c**5 = 0.
-1, -2/3, 0, 1
Let c(v) = 2*v**2 + 16*v - 8. Let f be c(-8). Let j = f + 11. Factor -9/5*d**3 - 3/5*d - 27/5*d**4 + j*d**2 + 0.
-3*d*(d + 1)*(3*d - 1)**2/5
Let d = -4983/7 + 713. Factor 16/7*n + 10/7*n**2 - d.
2*(n + 2)*(5*n - 2)/7
Let h(v) = -11*v**4 - 3*v**3 - 8*v**2 - 8*v. Let