2*b**4 - 1/80*b**5. Let y(g) = 0. Calculate g.
0, 1, 3
Let t(m) be the third derivative of -1/420*m**7 - 1/120*m**5 + 1/16*m**4 + 0*m + 0 - 1/80*m**6 + 1/6*m**3 + 2*m**2. Factor t(r).
-(r - 1)*(r + 1)**2*(r + 2)/2
Let z be (-1 - -19)*(-81)/(-18). Let c be (-1)/1 - z/(-36). Factor 3/2*y + c*y**2 + 1/4.
(y + 1)*(5*y + 1)/4
Let l(d) be the first derivative of -d**6/6 - d**5/5 + 9*d**4/4 - 11*d**3/3 + 2*d**2 - 46. Find c, given that l(c) = 0.
-4, 0, 1
Suppose -5*u - 10 = 5*v + 10, 3*u - 2*v - 8 = 0. Suppose -2*g = -u*g - 6. Find o such that o**g + o - o**3 + o**3 - 2*o**2 = 0.
0, 1
Suppose -u = u - 4. Let g(i) = 3*i**2 - 3*i - 8. Let k(z) = 3*z**2 + 5*z + 4 - 4*z**2 - 3*z. Let p(x) = u*g(x) + 5*k(x). Let p(m) = 0. What is m?
-2
Let u = 12 - 9. Factor -o**2 + u*o**4 + 0*o**4 - o**2 - o**4.
2*o**2*(o - 1)*(o + 1)
Let d = 17 + -14. Let 0*p**3 - 12 + 3*p + 9 + d*p**2 - 3*p**3 = 0. What is p?
-1, 1
Let g = 236 + -5. Let z be (-6)/(-42) + 261/g. Suppose -4/11 - 6/11*l**2 - z*l + 10/11*l**4 + 14/11*l**3 = 0. Calculate l.
-1, -2/5, 1
Let o = 55 + -53. Factor -4/7 + 6/7*v - 2/7*v**o.
-2*(v - 2)*(v - 1)/7
Let w = 41 + -44. Let y be 2 - -16*w/30. Let 4/5*q**4 + 0*q**2 - y*q**5 + 0 + 0*q - 2/5*q**3 = 0. Calculate q.
0, 1
Let z(x) be the second derivative of -x**7/294 + x**6/42 - 9*x**5/140 + x**4/12 - x**3/21 - 10*x. Determine v so that z(v) = 0.
0, 1, 2
Suppose 3*h + 1 - 7 = 0. Determine t so that 2*t + t**3 - 4*t**3 + h*t**3 - t = 0.
-1, 0, 1
Let i(h) be the first derivative of 3/2*h**4 + 9/2*h**2 + 2 - 13/3*h**3 - 2*h. Factor i(j).
(j - 1)*(2*j - 1)*(3*j - 2)
Determine q, given that -4*q**3 - 1 + 2*q**2 + 4*q**5 + 6*q**2 - 8*q**4 + 1 = 0.
-1, 0, 1, 2
Let f(m) be the third derivative of 0*m + 1/210*m**7 + 0 + 1/40*m**6 + 1/24*m**4 + 0*m**3 + 2*m**2 + 1/20*m**5. Suppose f(o) = 0. Calculate o.
-1, 0
Let d(y) be the second derivative of y**6/40 + 3*y**5/16 + 3*y**4/16 - 9*y**3/8 + 18*y. Factor d(k).
3*k*(k - 1)*(k + 3)**2/4
Let g(x) = x**3 - 6*x**2 + 2. Suppose 3*m - 18 = -t, -4*t = -4*m + 1 - 9. Let d be g(t). What is z in -z**2 + 5*z**2 - 5*z**4 - d*z**3 + 2*z + z**2 = 0?
-1, -2/5, 0, 1
Let p(k) be the third derivative of 3*k**2 + 1/390*k**5 + 0*k + 1/78*k**4 + 1/39*k**3 + 0. Factor p(d).
2*(d + 1)**2/13
Let s(l) be the first derivative of l**3/3 - l**2/2 + l - 8. Let r(w) = -3*w**2 - 3. Let z(a) = -r(a) - 2*s(a). Factor z(j).
(j + 1)**2
Let q be 4864/8130*20/14. Let s = 2/813 + q. Factor -s*o**3 - 4/7*o + 0 + 2/7*o**5 - 10/7*o**2 + 2/7*o**4.
2*o*(o - 2)*(o + 1)**3/7
Let j be (1/2)/((-2)/(-16)). Factor -27*q**3 - 2 - 30*q**2 - 14*q - 3*q**j + 0*q - 5*q**4 + q**3.
-2*(q + 1)**3*(4*q + 1)
Find h, given that 0 + 22/7*h**2 + 24/7*h**3 + 4/7*h = 0.
-2/3, -1/4, 0
Suppose 5*m = 10 + 10. Suppose 9 + m = z. Solve 3*u**4 - z*u**2 - 12*u**3 + 2*u**2 - 7*u**2 - 3 - 12*u - 6*u**4 = 0.
-1
Suppose -10*a + 28 = -3*a. Let c(s) be the third derivative of 0*s + 1/36*s**a + 1/90*s**5 + 3*s**2 + 0*s**3 + 0. Let c(q) = 0. What is q?
-1, 0
Let z(a) be the third derivative of 0*a**5 + 0 + 0*a - 1/6*a**3 - 1/108*a**4 + 1/1620*a**6 + a**2. Let q(c) be the first derivative of z(c). Factor q(f).
2*(f - 1)*(f + 1)/9
Let c(y) be the third derivative of -y**7/945 + y**6/135 - y**5/54 + y**4/54 + 4*y**2. Factor c(m).
-2*m*(m - 2)*(m - 1)**2/9
Let s(f) be the first derivative of 6 + 0*f**2 - 27/4*f**4 - 2*f**3 - 5/2*f**6 - 36/5*f**5 + 0*f. Solve s(v) = 0.
-1, -2/5, 0
Let t(w) be the first derivative of 36/5*w**5 + 0*w**3 - 7 - 14/3*w**6 + 0*w**2 - 2*w**4 + 0*w. What is u in t(u) = 0?
0, 2/7, 1
Let h(p) = -6*p**5 - 30*p**3 + 36*p. Let v(j) = j**5 + 6*j**3 - 7*j. Let y(s) = -4*h(s) - 21*v(s). Factor y(n).
3*n*(n - 1)**2*(n + 1)**2
Let y be (4/180)/(2 - 1). Let a(k) be the third derivative of -1/9*k**4 + 1/90*k**5 + 0 + 0*k - 1/9*k**3 + y*k**6 - 2*k**2. Find q, given that a(q) = 0.
-1, -1/4, 1
Let i(k) be the third derivative of 4/9*k**3 - 2/9*k**4 - 1/180*k**6 + 0 - 3*k**2 + 1/18*k**5 + 0*k. Factor i(z).
-2*(z - 2)**2*(z - 1)/3
Let k(m) = 2*m**4 + 8*m**3 - 4*m**2 - 2*m. Let u(d) = -d**5 - 8*d**4 - 33*d**3 + 17*d**2 + 7*d. Let q(l) = -9*k(l) - 2*u(l). Determine r, given that q(r) = 0.
-1, 0, 1, 2
Let k = -1 - -5. Factor 0 + 0*s**3 + 1/3*s**5 - 1/3*s - 2/3*s**2 + 2/3*s**k.
s*(s - 1)*(s + 1)**3/3
What is h in -112/5*h - 92/5*h**3 + 64/5 - 208/5*h**2 - 12/5*h**4 = 0?
-4, -2, 1/3
Let j(u) be the first derivative of -u**3/6 + 3*u**2/4 - u + 20. Factor j(y).
-(y - 2)*(y - 1)/2
Let k(o) = o**2 - 3*o - 6. Let h be k(5). Suppose -n + h*n - 6 = -3*q, 6 = 2*q + n. What is i in -3 + 12*i - 15/4*i**5 - 33/4*i**3 + 51/4*i**q - 39/4*i**2 = 0?
-1, 2/5, 1, 2
Let w(a) be the second derivative of 3*a**4/14 + 2*a**3/7 + a**2/7 + 6*a. Factor w(i).
2*(3*i + 1)**2/7
Factor -18/7*l + 1/7*l**2 + 81/7.
(l - 9)**2/7
Let m be ((-154)/(-240))/(-11)*6/(-42). Let b(o) be the second derivative of 0 + 1/24*o**3 + 2*o + 0*o**2 + 3/80*o**5 + 1/16*o**4 + m*o**6. Factor b(q).
q*(q + 1)**3/4
Factor 9*n**2 + 16*n**2 - 64 + 32*n + 0*n**2 + 3*n**2 + 4*n**3.
4*(n - 1)*(n + 4)**2
Let l(u) be the second derivative of -1/21*u**3 + 0*u**2 - 1/42*u**4 + 0 - 4*u. Factor l(v).
-2*v*(v + 1)/7
Factor 3/2*m**2 + 0 - 3/2*m**4 - 3/2*m**5 + 0*m + 3/2*m**3.
-3*m**2*(m - 1)*(m + 1)**2/2
Let v(x) be the first derivative of x**4/36 - 2*x**2/9 - 27. Find p, given that v(p) = 0.
-2, 0, 2
Factor 3*m + 0*m**4 - 7*m**3 + 16*m**3 - 3*m**4 - 9*m**2.
-3*m*(m - 1)**3
Let v(r) be the second derivative of -r**5/10 - 5*r**4/6 - r**3 + 9*r**2 - 9*r. Determine i so that v(i) = 0.
-3, 1
Suppose -4 = -k - 5, 2*m = -4*k. Let g(j) be the third derivative of 0*j**3 + 0*j - 1/15*j**5 + 0 + 1/12*j**4 - 2*j**m + 1/60*j**6. Solve g(q) = 0.
0, 1
Factor -2/11*y**2 + 0*y + 0 + 2/11*y**4 + 0*y**3.
2*y**2*(y - 1)*(y + 1)/11
Let y = 361 + -361. Factor 0*c**4 - 3/4*c**3 + y + 1/2*c**2 + 1/4*c**5 + 0*c.
c**2*(c - 1)**2*(c + 2)/4
Let a(g) be the first derivative of 2*g**3/33 - 3*g**2/11 + 13. Factor a(l).
2*l*(l - 3)/11
Let o(h) be the first derivative of -3*h**5/25 - 3*h**4/5 - h**3 - 3*h**2/5 + 11. Solve o(m) = 0.
-2, -1, 0
Let d be (12/(-27))/(6/(-15)). Factor 14/9*s**2 + 2/9 - 2/3*s**3 - d*s.
-2*(s - 1)**2*(3*s - 1)/9
Let d(r) be the third derivative of r**5/6 - r**4/4 + 5*r**3/3 - 7*r**2. Let a(k) = -3*k**2 + 2*k - 3. Let y(j) = -14*a(j) - 4*d(j). Factor y(l).
2*(l - 1)**2
Let u(f) be the first derivative of -3*f**5/20 - f**4/2 - f**3/2 + 7*f - 3. Let y(v) be the first derivative of u(v). Factor y(q).
-3*q*(q + 1)**2
Suppose 0 = -2*t + 7*t - t. Factor 1/5*k - 1/5*k**2 + t.
-k*(k - 1)/5
Let d(t) be the first derivative of t**6/4 - 13*t**5/10 + 7*t**4/8 + 17*t**3/6 - 3*t**2/2 - 3. Find v such that d(v) = 0.
-1, 0, 1/3, 2, 3
What is z in -162/5 + 36/5*z - 2/5*z**2 = 0?
9
Solve 0 + 1/2*o**4 + 0*o + 0*o**3 - 1/2*o**2 = 0 for o.
-1, 0, 1
Let r(i) = 5*i**5 + 5*i**4 - 7*i**3 - i**2 - i + 5. Let k(x) = 4*x**5 + 6 + 9 - 6*x**3 - 2*x**2 - 11 + 4*x**4. Let n(z) = -3*k(z) + 2*r(z). Factor n(s).
-2*(s - 1)**2*(s + 1)**3
Let p(x) be the second derivative of -x**7/2 + 8*x**6/5 - 3*x**5/5 - 7*x**4/2 + 11*x**3/2 - 3*x**2 - 4*x. Let p(u) = 0. What is u?
-1, 2/7, 1
Let m be ((-15)/90 + (-4)/3)/(-3). Let x = 5/11 - -1/22. Solve m + x*p**2 + p = 0.
-1
Let g(c) be the third derivative of c**5/12 - 5*c**4/24 - 5*c**3/3 + 26*c**2. Solve g(s) = 0.
-1, 2
Let p(n) = -n**5 - 9*n**4 + 4*n**3 - 3*n. Let o(r) = 3*r**5 + 19*r**4 - 8*r**3 + 7*r. Let h(q) = -3*o(q) - 7*p(q). Factor h(k).
-2*k**3*(k - 2)*(k - 1)
Suppose -3*m + 0*m - 4*h - 20 = 0, 0 = 2*m - 2*h - 10. Factor 0 + m*r - 1/6*r**2.
-r**2/6
Let v = 11 + -8. Factor -u**4 + 3*u**3 - 2*u**5 + 0*u**v - u**3 + 3*u**4 - 2*u**2.
-2*u**2*(u - 1)**2*(u + 1)
Let 1/6*j**2 - 1/6*j**4 - 1/3*j + 1/2*j**3 - 1/6*j**5 + 0 = 0. What is j?
-2, -1, 0, 1
Suppose -8*r = -10*r. Let u(l) be the first derivative of -22/15*l**3 - 2/5*l**2 - 1 + r*l - 9/10*l**4. Determine x so that u(x) = 0.
-1, -2/9, 0
Factor -7*x**2 + 8 + 19*x**2 + 14*x + 14*x.
4*(x + 2)*(3*x + 1)
Let b be ((-1434)/488)/(60/(-8)). Let s = 1/122 + b. Solve -2/5*d + 2/5*d**2 - s + 2/5*d**3 = 0.
-1, 1
Factor -35/4*p**4 + 11/4*p**5 - 17/4*p**2 + 0 + 1/2*p + 39/4*p**3.
p*(p - 1)**3*(11*p - 2)/4
Let 9*h + 48*h**5 - 57*h**3 - 3/2*h**2 + 3/2 + 0*h**4 = 0. What is h?
-1, -1/4, 1/2, 1
Let d(s) be the second derivati