e of -u**8/26880 + u**7/10080 - u**4/4 - 3*u. Let f(c) be the third derivative of l(c). Factor f(g).
-g**2*(g - 1)/4
Let r = 24 - 14. Let i = r + -8. Factor 2/3*g - 2/3*g**i + 4/3.
-2*(g - 2)*(g + 1)/3
Let g = -8 - -12. Suppose -g = -0*p - 2*p. Factor 0 + 2/5*b**3 + 0*b + 0*b**p - 2/5*b**4.
-2*b**3*(b - 1)/5
What is u in 1/8*u**4 + 1/8*u**2 + 1/4*u**3 + 0 + 0*u = 0?
-1, 0
Suppose 0 = -4*p - 2*r + 7 + 1, 2*r - 8 = 0. Let d(y) be the third derivative of 0 - 1/150*y**5 + 0*y**4 + p*y + 2*y**2 + 1/15*y**3. Factor d(c).
-2*(c - 1)*(c + 1)/5
Suppose 0 = -4*j - 8, -d - 5*j = -j + 5. Let h(z) be the first derivative of 0*z**4 + 2 + 1/5*z**5 - 2/3*z**d + 0*z**2 + z. Suppose h(a) = 0. What is a?
-1, 1
Let m = 20 + -17. Let q(j) = 3*j**2 + 3*j - 21. Let l(h) = h**2 + h - 11. Let d(s) = m*q(s) - 5*l(s). Factor d(f).
4*(f - 1)*(f + 2)
Let p be (-6)/(-20)*(-20)/(-15). Factor -p + 1/5*c - 1/5*c**3 + 2/5*c**2.
-(c - 2)*(c - 1)*(c + 1)/5
Suppose 4*a = 5*y - 53, -61 = -5*y - 2*a + 10. Let v be 2/y + (-60)/(-455). Determine i, given that 2/7*i + 0 + v*i**2 = 0.
-1, 0
Let v(f) be the first derivative of -f**5/30 - 3*f**2/2 + 9. Let y(o) be the second derivative of v(o). Factor y(r).
-2*r**2
Let y(n) be the first derivative of -2*n**4/7 - 2*n**3/3 + 2*n**2 - 6*n/7 - 3. Factor y(w).
-2*(w - 1)*(w + 3)*(4*w - 1)/7
Let j(n) be the third derivative of n**6/60 + 7*n**5/15 + 49*n**4/12 + 36*n**2. Find f, given that j(f) = 0.
-7, 0
Suppose -5*u = -0 - 10. Determine x, given that -16*x**2 - 5*x**4 + 12*x**3 + 4*x**u - x**4 + 4*x + 2*x**4 = 0.
0, 1
Suppose 0 = 73*t - 71*t - 8. Let u(o) be the third derivative of 0*o**3 + 0*o + 1/210*o**5 + 0 + 0*o**t - o**2 + 1/420*o**6. Factor u(f).
2*f**2*(f + 1)/7
Let m(g) be the third derivative of -11*g**5/30 + 35*g**4/12 - 2*g**3 + 25*g**2. Factor m(b).
-2*(b - 3)*(11*b - 2)
Let l(o) = -1 + 4 - 4 - 2*o + 5*o**2. Let c(q) = 66*q**2 - 27*q - 12. Let m(d) = -2*c(d) + 27*l(d). Let m(k) = 0. Calculate k.
-1, 1
Let b(q) be the first derivative of q**6/42 + q**5/35 - q**4/28 - q**3/21 - 48. Factor b(f).
f**2*(f - 1)*(f + 1)**2/7
Factor 8/5*t**2 - 56/5*t**3 + 0*t + 0 + 98/5*t**4.
2*t**2*(7*t - 2)**2/5
Let r(i) = -2*i**4 + 6*i**2 - 4*i + 4. Let v(c) = 2*c**4 - 7*c**2 + 5*c - 5. Let a = -1 + -3. Let g(y) = a*v(y) - 5*r(y). Factor g(f).
2*f**2*(f - 1)*(f + 1)
Let p(b) be the third derivative of -b**7/35 + b**6/15 + b**5/6 - b**4/6 - 18*b**2. Factor p(d).
-2*d*(d - 2)*(d + 1)*(3*d - 1)
Let d(u) be the first derivative of 0*u + 0*u**2 - 4 - 1/12*u**6 - 1/6*u**3 - 3/10*u**5 - 3/8*u**4. Factor d(x).
-x**2*(x + 1)**3/2
Find z, given that 17 + 0 - 1 + 26*z**2 - 2*z**5 + 40*z - 2*z**3 - 8*z**4 + 2*z**2 = 0.
-2, -1, 2
Let c = 13 + -8. Suppose 0*l**5 - 3*l**3 + 5*l**3 - 4*l**c - 4*l**4 + 6*l**5 = 0. What is l?
0, 1
Factor -4*g**3 + 5*g**3 + 2*g**2 - 3*g**2 + g + 3*g**2.
g*(g + 1)**2
Let d(k) be the second derivative of k**5/10 + k**4/6 + k**3/12 - 3*k. Factor d(r).
r*(2*r + 1)**2/2
Let f = -212 + 2334/11. Let m(x) be the second derivative of 0 + 7/66*x**4 - 3*x + 5/33*x**3 - f*x**2. Find r such that m(r) = 0.
-1, 2/7
Let x(u) be the first derivative of -3*u**4/4 + u**2 + u - 1. Let d be x(-1). Factor -k**d - 3 - 6*k - k**2 - 1.
-2*(k + 1)*(k + 2)
Let r(b) be the third derivative of 0*b**4 + 0*b + 0 - 1/20*b**5 + 1/2*b**3 + 3*b**2. Factor r(i).
-3*(i - 1)*(i + 1)
Let y(z) be the first derivative of 3*z**5/5 + 15*z**4/4 + 9*z**3 + 21*z**2/2 + 6*z + 5. Find f, given that y(f) = 0.
-2, -1
Let j(b) be the second derivative of b**7/189 + 7*b**6/135 + b**5/5 + 11*b**4/27 + 13*b**3/27 + b**2/3 + 29*b. Find y, given that j(y) = 0.
-3, -1
Let t(u) be the second derivative of -u**9/20160 - u**8/26880 + u**7/5040 + u**4/6 + 3*u. Let g(h) be the third derivative of t(h). Suppose g(x) = 0. What is x?
-1, 0, 2/3
Let s be (2 - 2)/1 + 7. Let h = -7 + s. Determine k so that h*k - 2/7*k**2 + 2/7 = 0.
-1, 1
Let v be (-1350)/(-112) + -1 - (-171)/456. Find r, given that -68/7*r**4 - 16/7*r**5 + 16/7 + v*r - 64/7*r**3 + 52/7*r**2 = 0.
-2, -1, -1/4, 1
Determine y so that -5*y**2 + 0*y**2 + y**3 + 4*y + y**2 = 0.
0, 2
Let l(o) = o**2 + 9*o + 3. Let s be l(-9). Determine f so that 3*f - 5*f**4 - 1 - s*f**3 + 7*f**2 - 5 + 4 = 0.
-1, 2/5, 1
Let h(j) be the first derivative of -j**6/9 - 11*j**5/30 - 3*j**4/8 - j**3/18 + j**2/12 + 22. Let h(y) = 0. What is y?
-1, 0, 1/4
Let d(n) be the third derivative of 5*n**8/336 + 4*n**7/105 + n**6/120 - n**5/30 - 5*n**2. Factor d(m).
m**2*(m + 1)**2*(5*m - 2)
Let g = -238 - -242. What is y in 10/3*y**3 - 4/3*y**2 - 10/3*y**5 + 4/3*y**g + 0*y + 0 = 0?
-1, 0, 2/5, 1
Let g(s) be the first derivative of s**7/210 - s**6/30 + s**5/15 + s**2/2 + 4. Let b(w) be the second derivative of g(w). Determine d, given that b(d) = 0.
0, 2
Determine c so that -12/7*c + 15/7*c**5 - 12/7 + 69/7*c**4 + 51/7*c**2 + 15*c**3 = 0.
-2, -1, 2/5
Let b be (-2)/(-1) + (-44)/22. Factor b - 1/6*x**4 - 1/2*x**3 - 1/3*x**2 + 0*x.
-x**2*(x + 1)*(x + 2)/6
Let n(z) = -4*z**2 + 12*z - 10. Let i(g) = -4*g**2 + 12*g - 11. Let o(l) = 2*i(l) - 3*n(l). Factor o(r).
4*(r - 2)*(r - 1)
Factor -34/13*t**4 + 56/13*t**3 - 2/13 + 8/13*t**5 - 44/13*t**2 + 16/13*t.
2*(t - 1)**4*(4*t - 1)/13
Determine i, given that -4/15*i + 0 - 2/3*i**2 = 0.
-2/5, 0
Let f(v) = v**2 - v - 1. Let i(x) = -22*x**2 + 5*x + 18. Let b(s) = -5*f(s) - i(s). Let z(n) = -4*n**2 + 3. Let t(q) = 6*b(q) + 26*z(q). Factor t(h).
-2*h**2
Let b be (-21)/(-24) + 6/(-16). Factor -1/6*n**3 + 0 - 1/3*n - b*n**2.
-n*(n + 1)*(n + 2)/6
Let z = 2 - 4. Let o be -2*z*1/2. Factor m - 8 - 3*m + 10*m - 2*m**o.
-2*(m - 2)**2
Let b be 0*(-1 + 0 + (-19)/(-38)). Solve 3/2*l + 3/4*l**2 + b = 0 for l.
-2, 0
Let k(h) be the third derivative of h**6/120 - h**5/20 + h**4/8 - h**3/6 - 45*h**2. Find o such that k(o) = 0.
1
Let o = 18087 - 89828/5. Let u = o - 121. Factor -2/5*j**3 - 2/5*j**2 + 2/5 + u*j.
-2*(j - 1)*(j + 1)**2/5
Let p = 119 - 117. Let r(s) be the first derivative of 0*s + 1/15*s**5 - 1/9*s**3 - 2 + 0*s**p - 1/18*s**6 + 1/12*s**4. Factor r(t).
-t**2*(t - 1)**2*(t + 1)/3
Let m = -268 - -1346/5. Let o be (4 - -1)/((-5)/(-2)). Solve -2/5 - 6/5*q**o + m*q + 2/5*q**3 = 0 for q.
1
Let p(t) be the second derivative of t**7/21 - 4*t**6/15 + t**5/10 + 5*t**4/3 - 4*t**3/3 - 8*t**2 - t + 28. Factor p(f).
2*(f - 2)**3*(f + 1)**2
Let z(t) be the third derivative of t**3 - 1/20*t**5 + 0 - 4*t**2 - 1/8*t**4 + 0*t. Factor z(u).
-3*(u - 1)*(u + 2)
Let 105/2*g**3 - 147/4*g**4 - 3 - 15*g + 9/4*g**2 = 0. Calculate g.
-2/7, 1
Let q(f) = 28*f**4 - 8*f**3 - 34*f**2 + 2*f. Let v(d) = d**2 + d. Let b(m) = -q(m) - 6*v(m). Factor b(l).
-4*l*(l - 1)*(l + 1)*(7*l - 2)
Let p(q) be the first derivative of q + 1/2*q**4 + 4 - 1/3*q**3 - q**2. Let p(d) = 0. Calculate d.
-1, 1/2, 1
Let z(y) = -2*y**3 + 2*y**2 + 4*y. Let v(j) = -4*j - j + 4*j + j**3. Let k(w) = 4*v(w) + z(w). Factor k(c).
2*c**2*(c + 1)
Let r(o) be the first derivative of o**9/504 - o**8/105 + o**7/60 - o**6/90 - o**3/3 + 1. Let d(m) be the third derivative of r(m). Factor d(g).
2*g**2*(g - 1)**2*(3*g - 2)
Determine b, given that -5/4*b + 1/4*b**4 - 1 + 5/4*b**3 + 3/4*b**2 = 0.
-4, -1, 1
Let i be 16*1/(-6)*2. Let t = i + 6. Solve t*q**2 + 8/3 - 2*q**3 + 16/3*q = 0 for q.
-1, -2/3, 2
Let z(f) be the third derivative of 9*f**7/98 + 3*f**6/70 - f**5/20 - f**4/28 - f**2. Factor z(l).
3*l*(3*l + 1)**2*(5*l - 2)/7
Let r(a) be the first derivative of a**6/2520 - a**5/210 + a**4/42 - 5*a**3/3 - 5. Let w(j) be the third derivative of r(j). Determine b, given that w(b) = 0.
2
Let k(a) = 5*a + 159. Let n be k(-31). Determine r, given that -r**n + 0 + r**2 + 0*r - 5/2*r**5 + 5/2*r**3 = 0.
-1, -2/5, 0, 1
Let c(u) be the first derivative of 0*u**2 - 1/4*u**4 + u**3 - 4*u - 4. Find j, given that c(j) = 0.
-1, 2
Let v = -185 + 1667/9. Factor 0 - v*p + 2/9*p**2.
2*p*(p - 1)/9
Let q = -163/10 + 33/2. Let p(c) be the first derivative of -1 + 2/15*c**3 + q*c**2 - 2/5*c - 1/10*c**4. Factor p(n).
-2*(n - 1)**2*(n + 1)/5
Factor -11/3*t + 1/3*t**2 + 10/3.
(t - 10)*(t - 1)/3
Let s(h) be the first derivative of 2*h**6/3 - 4*h**5/5 - h**4 + 4*h**3/3 - 9. Let s(p) = 0. Calculate p.
-1, 0, 1
Let v be 508/(-144) + (0 - -2). Let n = v - -16/9. Factor 1/4*w**5 + 0 + 0*w - 1/4*w**2 + n*w**4 - 1/4*w**3.
w**2*(w - 1)*(w + 1)**2/4
Let o(