*4 - 2*g**3 + 2*g**2 + 2. Suppose -10 = -10*t + 10. Let r(w) = -10*w**4 - 10*w**3 + 11*w**2 + 11. Let h(l) = t*r(l) - 11*a(l). Factor h(n).
2*n**3*(n + 1)
Let n(b) = -b**2 - 2*b - 2. Let y(l) be the first derivative of -l**3/3 - l + 6. Let f(j) = 3*n(j) - 6*y(j). Let f(g) = 0. Calculate g.
0, 2
Let o be 1116/45 + (-2)/(-10). Suppose -v - o = -6*v. Solve -9*w**2 - 3*w**4 + 5*w - 3*w - 9*w**3 - v*w = 0.
-1, 0
Let r(b) = -10*b**3 - 32*b**2 - 8*b - 16. Let t(f) = f**3 + f**2 - 2. Let g(i) = r(i) - 8*t(i). Factor g(u).
-2*u*(u + 2)*(9*u + 2)
Factor 0 + 55/2*c**3 + 145/6*c**4 + 15/2*c**5 + 5/3*c + 25/2*c**2.
5*c*(c + 1)**3*(9*c + 2)/6
Let y(x) be the third derivative of -x**5/12 + 5*x**4/12 + 5*x**3/2 + 53*x**2. Factor y(u).
-5*(u - 3)*(u + 1)
Let u(j) be the third derivative of -j**8/168 - 4*j**7/105 - j**6/12 - j**5/15 + 149*j**2. Determine a, given that u(a) = 0.
-2, -1, 0
Let d be (58/(2784/360))/(5/33). Find u such that d*u**2 + 0 + 21*u + 21/2*u**4 - 81*u**3 = 0.
-2/7, 0, 1, 7
Let t(x) be the third derivative of -x**8/1344 + x**7/140 + x**6/20 + 13*x**5/120 + 3*x**4/32 - 129*x**2 + x. Factor t(l).
-l*(l - 9)*(l + 1)**3/4
Let i = -443 + 445. Let o(m) be the third derivative of 1/150*m**5 + 0*m**4 - 1/15*m**3 + 0*m - 8*m**i + 0. Factor o(r).
2*(r - 1)*(r + 1)/5
Let a = 426 - 849/2. What is y in -1 + 7/2*y - 4*y**2 + a*y**3 = 0?
2/3, 1
Let l(w) be the second derivative of 2*w**6/15 + w**5 + 3*w**4 + 14*w**3/3 + 4*w**2 + 26*w. Factor l(p).
4*(p + 1)**3*(p + 2)
Determine t, given that -8 - 4*t**2 + 31 - 87 + 244*t - 176 = 0.
1, 60
Let f(a) be the first derivative of -a**5/3 - 7*a**4/6 + 4*a**3 - 7*a**2 - 10. Let u(o) be the second derivative of f(o). Solve u(y) = 0.
-2, 3/5
Let b(n) be the second derivative of n**7/105 - n**6/75 - n**5/25 + n**4/15 + n**3/15 - n**2/5 + 113*n. Suppose b(p) = 0. What is p?
-1, 1
Let x(g) be the third derivative of 16*g**2 + 0*g**4 + 0*g + 0*g**3 + 0 - 1/450*g**5. Solve x(k) = 0.
0
Let p(s) be the first derivative of 0*s - 1/3*s**3 + 2 + 0*s**2 - 1/10*s**5 + 3/8*s**4. Determine a, given that p(a) = 0.
0, 1, 2
Let o(y) = -12*y**2 - 24*y + 15. Let c(j) = 10*j**2 + 24*j - 16. Let n(l) = -7*c(l) - 6*o(l). Factor n(g).
2*(g - 11)*(g - 1)
Let p(w) = -w + 7. Suppose -2*n + 4*n - 10 = 0. Let j be p(n). Factor -2*a - 6*a + 28*a**j + 2*a - a**2 - 21*a**3.
-3*a*(a - 1)*(7*a - 2)
Let x be 3*(28/420 + 3/5). Let f(o) be the second derivative of -x*o**2 + 1/4*o**4 + 0*o**3 + 1/20*o**5 + 0 + 6*o. Factor f(i).
(i - 1)*(i + 2)**2
Let l = 91 - 545/6. Let b = l - -13/30. Determine i, given that -b*i**3 + 0 - 6/5*i**2 - 3/5*i = 0.
-1, 0
Suppose 0 = 169*z - 7116 + 2046. Factor 5/2*q**4 - 20*q**3 + 115/2*q**2 - 70*q + z.
5*(q - 3)*(q - 2)**2*(q - 1)/2
Let p(r) be the first derivative of -2*r**3/15 - 36*r**2 - 3240*r + 158. Factor p(z).
-2*(z + 90)**2/5
Let w = 136 - 131. Let a(r) be the third derivative of 0 + 0*r - 1/420*r**w + 0*r**4 + r**2 + 0*r**3. Factor a(z).
-z**2/7
Let z(v) be the third derivative of v**7/630 + v**6/360 - v**5/30 - v**4/18 + 4*v**3/9 - 49*v**2. Suppose z(c) = 0. Calculate c.
-2, 1, 2
Factor -16*a**2 - 4*a**4 - 11*a**2 - 24*a**3 - 25*a**2 + 80*a**3.
-4*a**2*(a - 13)*(a - 1)
Let k(c) be the second derivative of -c**6/165 + 9*c**4/22 + 18*c**3/11 - 401*c. Factor k(h).
-2*h*(h - 6)*(h + 3)**2/11
Let h(g) = g**3 + 60*g**2 - 102*g + 55. Let r(q) = -30*q**2 + 51*q - 27. Let f(j) = -3*h(j) - 7*r(j). Factor f(v).
-3*(v - 8)*(v - 1)**2
Let k(a) be the second derivative of 1/4*a**5 + 0*a**2 + 5/6*a**3 + 5/6*a**4 + a + 0. What is u in k(u) = 0?
-1, 0
Factor 2/15*x**2 - 6*x + 88/15.
2*(x - 44)*(x - 1)/15
Suppose -z + 1 = -4. Let b be (-8)/((-864)/300) - (-4)/18. Factor -8*s + 6*s - b*s**3 + z*s.
-3*s*(s - 1)*(s + 1)
Let z(u) be the second derivative of u**8/336 - u**7/105 + u**6/120 - 11*u**2/2 + 10*u. Let s(v) be the first derivative of z(v). Factor s(o).
o**3*(o - 1)**2
Let r = 3663 - 25623/7. Determine k, given that 27/7 + r*k + 3/7*k**2 = 0.
-3
Let d(g) be the second derivative of g**9/45360 - g**8/10080 + 8*g**4/3 - 12*g. Let j(b) be the third derivative of d(b). Factor j(u).
u**3*(u - 2)/3
Let j(f) be the second derivative of -f**9/15120 + f**8/13440 - f**4/2 - 8*f. Let t(v) be the third derivative of j(v). Factor t(i).
-i**3*(2*i - 1)/2
Let p = -30 + 34. Let n(k) be the second derivative of 0 - 1/18*k**p + k**2 - 4*k + 2/9*k**3. Factor n(z).
-2*(z - 3)*(z + 1)/3
Let g(j) = j**2 + 3*j + 50. Let q be g(0). Let q*z + 48*z**2 - 125 - 30*z**2 - 23*z**2 = 0. What is z?
5
Let g = 9239 + -27715/3. Suppose g + 2/3*q**4 - 8/3*q**3 + 4*q**2 - 8/3*q = 0. Calculate q.
1
Solve 0*u - 14/3*u**3 + 0 + 8/3*u**4 + 0*u**2 = 0 for u.
0, 7/4
Suppose 4 = 8*g - 20. Let 4*k**4 + 6*k**3 + 8*k**3 - 10*k**g + k**5 = 0. What is k?
-2, 0
Suppose 68 - 4 = 32*n. Let r(s) be the second derivative of 3*s - 1/5*s**5 - 1/30*s**6 - 1/2*s**4 - 1/2*s**n - 2/3*s**3 + 0. Factor r(a).
-(a + 1)**4
Determine k so that 3*k**3 - 2150 + k**3 + 24*k**2 + 32*k + 2150 = 0.
-4, -2, 0
Factor -4/9*m**3 - 20/9*m + 8/9 + 16/9*m**2.
-4*(m - 2)*(m - 1)**2/9
Let u(d) = 2*d**3 - 8*d**2 - 19*d + 5. Let v(b) = -3*b**3 + 12*b**2 + 28*b - 8. Let n(c) = -8*u(c) - 5*v(c). Factor n(h).
-h*(h - 6)*(h + 2)
Let a = 77 - 79. Let v be a + (-256)/(-99) + (-32)/144. Determine f, given that -6/11*f**2 + 2/11*f**4 + 0*f - v*f**3 + 0 = 0.
-1, 0, 3
Let n(a) = a**5 + a**4 + a. Let p(o) = -10*o**5 + 35*o**4 - 30*o**3 - 200*o**2 - 130*o. Let i(d) = 5*n(d) + p(d). Let i(z) = 0. What is z?
-1, 0, 5
Suppose -8*n - 10 = -6*n, -5*h + 5 = 2*n. Let j(g) be the second derivative of -1/9*g**h + 7*g + 0*g**2 + 1/18*g**4 + 0. Factor j(y).
2*y*(y - 1)/3
Factor 12*l**3 - 4*l**5 + 3*l**4 - 193 + 5*l**4 + 193.
-4*l**3*(l - 3)*(l + 1)
Suppose -11 = 29*g - 30*g. Factor -19*b + 0*b**3 - 2*b**2 + g*b + 4*b**3 - 2*b**2.
4*b*(b - 2)*(b + 1)
Let g(d) be the third derivative of -d**8/280 + 13*d**7/350 - 3*d**6/25 + 9*d**5/100 - 413*d**2. Determine s so that g(s) = 0.
0, 1/2, 3
Factor -18*m**3 - 1105*m**5 + 20*m**4 - 22*m**3 + 8*m**2 + 12*m**3 + 4*m**2 + 1101*m**5.
-4*m**2*(m - 3)*(m - 1)**2
Find s, given that -63/5*s - 1/10*s**3 + 0 - 13/2*s**2 = 0.
-63, -2, 0
Let w(i) be the second derivative of -2*i**7/21 - 26*i**6/15 - 12*i**5/5 + 693*i. Let w(x) = 0. Calculate x.
-12, -1, 0
Let b(t) be the second derivative of 0*t**2 + 0*t**3 + 8*t + 0 + 1/102*t**4. Suppose b(y) = 0. Calculate y.
0
Suppose 2*x - 2 = -3*o, 6 = 3*o + x + 2*x. Let a(b) = b**3 + 4*b**2 + 3*b. Let v be a(o). Find k, given that 2*k - 1/2*k**v - 2 = 0.
2
Let r(p) = -4*p - 4*p + 5*p**2 + 0*p - 16. Suppose -i - 2 = -j - 2*i, -4 = i. Let z(x) = -4*x**2 + 8*x + 16. Let c(h) = j*z(h) + 5*r(h). What is w in c(w) = 0?
-4
Let x(d) be the second derivative of 8/147*d**7 + 0*d**4 + 1/35*d**5 + 0 + 0*d**2 + 0*d**3 - 2/21*d**6 + 28*d. Factor x(i).
4*i**3*(i - 1)*(4*i - 1)/7
Let k = 59 + -43. Let q be (1 - k/(-5)) + 2 - 1. Let -8/5 + q*x - 2/5*x**4 + 14/5*x**3 - 6*x**2 = 0. Calculate x.
1, 4
Suppose 33*c = -8*c - 12*c + 106. Factor 1/2*d**c + 0*d + 0.
d**2/2
Let r = 769 - 18455/24. Let h(v) be the third derivative of 5*v**2 - 1/600*v**6 - 1/75*v**5 + 0 - r*v**4 + 0*v - 1/15*v**3. Factor h(x).
-(x + 1)**2*(x + 2)/5
Factor 28/5*n**2 + 32/5 - 56/5*n - 4/5*n**3.
-4*(n - 4)*(n - 2)*(n - 1)/5
Find y such that 14 - 14*y - 772*y**2 + 776*y**2 + 18 - 22*y = 0.
1, 8
Let a(r) be the first derivative of -3*r**4/8 - 3*r**3 - 27*r**2/4 + 49. Factor a(y).
-3*y*(y + 3)**2/2
Let z(r) be the second derivative of 1/42*r**7 + 1/20*r**5 - 19*r + 1/4*r**4 + 0*r**2 - 1/10*r**6 + 0 - 1/3*r**3. Let z(x) = 0. Calculate x.
-1, 0, 1, 2
Let v(r) be the third derivative of -1/210*r**5 - 9*r**2 + 0*r**3 + 0*r**4 + 0 + 0*r. Factor v(n).
-2*n**2/7
Let l(x) be the third derivative of x**6/60 + x**5/30 - 14*x**4/3 + 48*x**3 + 2*x**2 + 81. Find n, given that l(n) = 0.
-9, 4
Let i(l) = 535 - 1069 + 538 - 2*l**3 - 18*l**2. Let u be i(-9). Factor -3/5 + 6/5*f - 6/5*f**3 + 3/5*f**u + 0*f**2.
3*(f - 1)**3*(f + 1)/5
Let a be 12*(13/3)/13. Let j(s) be the third derivative of 0*s + 0 + 3/2*s**3 + 2*s**2 + 1/20*s**5 - 1/2*s**a. Suppose j(y) = 0. Calculate y.
1, 3
Let n(i) be the third derivative of -3*i**8/4760 + 11*i**7/7140 - i**6/1530 + i**3/2 + 9*i**2. Let g(u) be the first derivative of n(u). Factor g(q).
