8*w**2. Let h(y) be the first derivative of x(y). Factor h(a).
2*a**2*(a - 1)*(4*a + 1)**2/11
Let z be (-4)/(-26) + (-124740)/(-10192). Let w = -49/4 + z. Factor -1/7*s + 2/7*s**3 + 0*s**2 + 0 - w*s**5 + 0*s**4.
-s*(s - 1)**2*(s + 1)**2/7
Let v(g) be the first derivative of g**3/3 + 30*g**2 - 347. Solve v(c) = 0.
-60, 0
Let o(a) be the second derivative of -a**7/6300 + a**6/900 - 7*a**4/12 - 11*a. Let c(j) be the third derivative of o(j). Find y such that c(y) = 0.
0, 2
Let -63/2*y**2 - 30*y**3 - 9/2*y**4 + 36*y + 30 = 0. Calculate y.
-5, -2, -2/3, 1
Let a(d) = -5*d**5 + 9*d**4 + 4*d**3 - 8*d - 4. Let n(p) = -5*p**5 + 10*p**4 + 5*p**3 - 10*p - 5. Let j(x) = 5*a(x) - 4*n(x). Factor j(k).
-5*k**4*(k - 1)
Suppose 28 = 5*m - 12. What is k in -17*k**3 + m + 16*k**2 - 20*k + 27*k**3 - 14*k**3 = 0?
1, 2
Factor -4*i - 2 - 2*i**3 + 137*i**2 + 4*i + 2*i - 135*i**2.
-2*(i - 1)**2*(i + 1)
Suppose 4*y - 31 = 3*n, 0*y - 3*n - 7 = 2*y. Factor -8*h**2 - 3*h**4 + 12*h**3 - 3*h**4 - 2*h**y + 4*h**4.
-4*h**2*(h - 2)*(h - 1)
Let o(b) be the third derivative of 2*b**7/105 + 2*b**6/15 + b**5/5 - 2*b**4/3 - 8*b**3/3 + 2*b**2 + 7*b. Factor o(n).
4*(n - 1)*(n + 1)*(n + 2)**2
Let f(i) be the first derivative of 2*i**5/35 - i**4/14 - 2*i**3/3 + 13*i**2/7 - 12*i/7 - 120. Find r, given that f(r) = 0.
-3, 1, 2
Let z(o) = 4*o**4 - 29*o**3 + 65*o**2 - 59*o + 20. Let c(a) = a**4 - a**3 - a. Let s = 30 - 31. Let g(d) = s*z(d) - c(d). Factor g(v).
-5*(v - 2)**2*(v - 1)**2
Let r(y) be the third derivative of -2*y**7/105 + 7*y**6/30 + 12*y**5/5 - 26*y**4/3 - 160*y**3/3 + 600*y**2. Suppose r(b) = 0. What is b?
-4, -1, 2, 10
Let o(g) = 2*g**4 + g**3 + g**2 - 4*g + 3. Let u(y) = y**4 - y + 1. Suppose -3*w = x - 0*x - 12, x = 4*w - 23. Let z(t) = x*u(t) + o(t). Factor z(s).
-s*(s - 1)**2*(s + 1)
Let h(s) be the first derivative of s**6/2880 - s**5/80 + 3*s**4/16 + s**3/3 + 20. Let q(j) be the third derivative of h(j). Solve q(g) = 0 for g.
6
Suppose 4*p - z - 149 = 0, 3*z = -2*p + 2*z + 67. Find o such that -55*o**2 - p*o**3 - 144*o + 4*o**4 + 134*o**2 - 16*o**3 + 113*o**2 = 0.
0, 1, 6
Solve 0 + 1/8*q**5 + 9/4*q - 3/8*q**2 - 19/8*q**3 + 3/8*q**4 = 0.
-6, -1, 0, 1, 3
Suppose 5302*x = 5295*x + 42. Let t(h) be the third derivative of 0*h**5 - x*h**2 + 1/160*h**6 + 0*h + 0*h**4 + 0*h**3 + 0 + 1/560*h**7. Factor t(o).
3*o**3*(o + 2)/8
Let n(f) = f**2 + 20*f + 34. Let q be n(-19). Factor 3*u**2 - q*u - 10 - 6*u**2 - 2.
-3*(u + 1)*(u + 4)
Let b = -4901/54 - -545/6. Let s(w) be the first derivative of 2/9*w**2 + 1 - b*w**3 + 0*w. Let s(m) = 0. Calculate m.
0, 2
Let k(q) be the third derivative of q**8/84 + 6*q**7/35 + 7*q**6/30 - 3*q**5/5 - 4*q**4/3 - 5*q**2 + 5. Factor k(o).
4*o*(o - 1)*(o + 1)**2*(o + 8)
Let n(b) be the first derivative of b**5/5 + 3*b**4/4 - 4*b**3/3 - 6*b**2 + 188. Suppose n(t) = 0. What is t?
-3, -2, 0, 2
Find s, given that 2/3*s**3 + 0 + 6144*s + 128*s**2 = 0.
-96, 0
Let z be -4*2/16*-4. Let k(i) be the first derivative of -2*i + z - 2/27*i**3 - 2/3*i**2. Factor k(w).
-2*(w + 3)**2/9
Let w(c) be the first derivative of 4 + 4/13*c**2 + 0*c - 2/39*c**3. Factor w(y).
-2*y*(y - 4)/13
Suppose i - 4*i + 5*k = -5, 1 = 3*i - k. Let a(f) be the third derivative of 0 + 0*f**3 - 3*f**2 - 1/15*f**6 + i*f + 1/12*f**4 + 1/10*f**5. Factor a(v).
-2*v*(v - 1)*(4*v + 1)
Determine y so that -191*y**2 - 21*y**4 - 62 - 169 - 211*y**2 - 1428*y - 54 + 645*y**3 - 75 = 0.
-1, -2/7, 2, 30
Let i(c) be the second derivative of -49*c**6/60 - 119*c**5/20 - 373*c**4/24 - 17*c**3 - 9*c**2 + 185*c. Determine x so that i(x) = 0.
-2, -3/7
Let g(t) be the first derivative of -2/3*t**3 - 2*t**2 + 0*t - 1/16*t**4 + 7. Factor g(s).
-s*(s + 4)**2/4
Let r(a) be the first derivative of 115*a**3/3 - 105*a**2/2 - 10*a + 14. Factor r(t).
5*(t - 1)*(23*t + 2)
Let p(x) be the third derivative of 1/40*x**6 + 0*x**3 + 1/70*x**7 + 0*x**4 + 0 + 0*x**5 + 0*x + 10*x**2. Factor p(n).
3*n**3*(n + 1)
Let v(h) = 2*h**5 + 7*h**4 + 3*h**2 + 3*h - 3. Let p(q) = -14*q**5 - 50*q**4 - 22*q**2 - 22*q + 22. Let b(d) = 6*p(d) + 44*v(d). Factor b(u).
4*u**4*(u + 2)
Let y = 69 - 64. Let u(i) be the second derivative of 3/2*i**4 - 2*i**2 + 1/3*i**6 - y*i + 1/3*i**3 - 13/10*i**5 + 0. Suppose u(p) = 0. Calculate p.
-2/5, 1
Let f(v) = -7*v**2 - 82*v - 127. Suppose -2*t - 2*t - d = -21, 3*d = 4*t - 17. Let y(b) = 5*b**2 + 55*b + 85. Let z(j) = t*f(j) + 8*y(j). Factor z(k).
5*(k + 3)**2
Let p = 231/5 + -4846/105. Let f(x) be the third derivative of 1/84*x**4 + 0 + p*x**3 - 1/210*x**5 - 1/420*x**6 + 4*x**2 + 0*x. Factor f(l).
-2*(l - 1)*(l + 1)**2/7
Suppose 0 = 6*c - 332 + 44. Let x = -28 + c. Determine n, given that -3*n**2 - 6*n - 30*n - 32 - x*n - 9*n**2 = 0.
-4, -2/3
Let s(u) = u**3 - 5*u**2 - 4*u - 9. Let y be s(6). Let x be -32*y*5/(-510). Find w, given that 0 + 2/17*w**4 + x*w**2 - 10/17*w**3 - 8/17*w = 0.
0, 1, 2
Let i(h) be the first derivative of -5*h**4/4 + 10*h**3/3 + 45*h**2/2 - 90*h + 41. Factor i(q).
-5*(q - 3)*(q - 2)*(q + 3)
Let i(o) be the third derivative of o**7/1155 - 7*o**6/660 - 13*o**5/110 - 53*o**4/132 - 2*o**3/3 - 6*o**2 + o. Suppose i(u) = 0. What is u?
-2, -1, 11
Let n(o) be the first derivative of 13*o**3/3 - 11*o**2/2 + 3*o - 23. Let r(p) = -6*p**2 + 6*p - 2. Let u(c) = 2*n(c) + 5*r(c). Solve u(v) = 0 for v.
1
Let l(r) be the second derivative of 0 + 5/12*r**4 + 7*r - 15/2*r**3 - 25*r**2. Suppose l(q) = 0. What is q?
-1, 10
Let i(h) be the second derivative of h**6/630 + h**5/21 + 25*h**4/42 + 10*h**3/3 - 16*h. Let b(r) be the second derivative of i(r). Find u, given that b(u) = 0.
-5
Let c(z) be the third derivative of -z**8/168 + 2*z**7/105 + 2*z**6/15 + z**5/15 - 7*z**4/12 - 4*z**3/3 - 3*z**2 - 29. Determine g so that c(g) = 0.
-1, 1, 4
Let v = -259 + 261. Let l(j) be the first derivative of 0*j**3 - 1/3*j**4 + 0*j**v + 0*j + 2/15*j**5 + 8 + 1/9*j**6. Factor l(n).
2*n**3*(n - 1)*(n + 2)/3
Suppose -6 = 4*b - 2*i, 34*i - 9 = 31*i. Let g(q) be the third derivative of b*q**3 + 0 + 1/8*q**4 + 0*q - 6*q**2 - 1/40*q**5. Factor g(d).
-3*d*(d - 2)/2
Let a(x) be the third derivative of x**5/15 + 5*x**3/6 + x**2. Let r(y) = 3*y**2 + y + 4. Suppose 26 = 5*j + 6. Let c(u) = j*a(u) - 6*r(u). Factor c(v).
-2*(v + 1)*(v + 2)
Let k(j) = -j**3 + j**2 - 2*j - 1. Let x(m) = 6*m**3 + 150*m**2 + 153*m + 39. Let h(l) = -10*k(l) - 5*x(l). Factor h(a).
-5*(a + 37)*(2*a + 1)**2
Factor -8/3*c + 5*c**2 - 1 - 4/3*c**3.
-(c - 3)*(c - 1)*(4*c + 1)/3
Suppose 0 = -43*t + 66*t - 69. Let p(z) be the first derivative of 5 + 0*z + 1/11*z**2 - 4/33*z**t + 1/22*z**4. Factor p(g).
2*g*(g - 1)**2/11
Let x(u) be the third derivative of -u**7/840 + 7*u**6/360 - u**5/20 + 5*u**3/3 - 6*u**2. Let m(t) be the first derivative of x(t). Factor m(a).
-a*(a - 6)*(a - 1)
Let r(o) be the third derivative of o**7/105 - 3*o**6/40 + 11*o**5/60 - 2*o**3/3 + 58*o**2. Determine t so that r(t) = 0.
-1/2, 1, 2
Let y(s) be the first derivative of 2*s**5/5 + 5*s**4/2 - 14*s**3/3 - 5*s**2 + 12*s - 32. Determine i so that y(i) = 0.
-6, -1, 1
Let b(l) be the first derivative of 1/5*l**3 + 3/5*l + 3/5*l**2 - 11. Solve b(r) = 0 for r.
-1
Let k be 11690/(-1503)*(-12)/14. Determine j, given that -k*j + 5/3*j**2 + 5 = 0.
1, 3
Let g = 516 - 512. Factor -7/2*i**3 - 1 + 7/2*i - 3/2*i**2 + 5/2*i**g.
(i - 1)**2*(i + 1)*(5*i - 2)/2
Let g = 744/7 - 3664/35. Find w such that 32/5*w + 12/5*w**2 - g*w**3 + 16/5 - 4/5*w**4 = 0.
-2, -1, 2
Let t(g) = -g**3 - g**2 + g - 1. Let q(l) = -2*l**3 - 9*l**2 + 3*l - 3. Let d(h) = 2*q(h) - 6*t(h). Suppose d(w) = 0. What is w?
0, 6
Let d be -2 - -6*8/12. Factor 4*v**3 + 2*v**2 + v**2 + 2*v**4 - 4*v**d - 3*v**3.
v**2*(v + 1)*(2*v - 1)
Let y(u) be the first derivative of 2*u**3/15 - 3*u**2 + 52*u/5 + 115. Factor y(m).
2*(m - 13)*(m - 2)/5
Suppose -g - 23 = 5*o, 0*g + g = 2*o + 12. Factor 2*l**2 - 5*l**2 + 1 + l**g + 1.
-2*(l - 1)*(l + 1)
Let z = 347/102 + -55/17. Let s(c) be the second derivative of -1/4*c**3 - 1/6*c**4 + 0 - 1/24*c**5 - z*c**2 + 5*c. Factor s(v).
-(v + 1)**2*(5*v + 2)/6
Determine c, given that -72900/7 - 4/7*c**2 + 1080/7*c = 0.
135
Let u(t) be the first derivative of t**6/810 + 4*t**5/135 + 8*t**4/27 + 13*t**3/3 + 1. Let b(z) be the third derivative of u(z). Suppose b(h) = 0. Calculate h.
-4
Let l(f) be the first derivative of -25 