t s(u) = 0.
-1, 0, 5
Let j(y) = 7*y**3 - 18*y**2 + 2*y. Let f(a) = -15*a**3 + 38*a**2 - 6*a. Let d(u) = 3*f(u) + 5*j(u). Determine l, given that d(l) = 0.
0, 2/5, 2
Let d(f) = f**2 + 9*f + 2. Let n be d(-9). Suppose 2*w = -2*w + 8. Factor -3 - w*v**3 + n*v + 1 - v**2 + 3*v**2.
-2*(v - 1)**2*(v + 1)
Let b(m) be the third derivative of m**8/40320 + m**7/3780 + m**6/1440 - m**4/4 + 34*m**2. Let g(j) be the second derivative of b(j). Solve g(x) = 0.
-3, -1, 0
Let r(z) be the second derivative of -343*z**5/80 - 49*z**4/8 - 7*z**3/2 - z**2 + 107*z. Find g, given that r(g) = 0.
-2/7
Let i = -16439 - -16443. Find f, given that -5/6 - 25/6*f - 25/3*f**2 - 5/6*f**5 - 25/6*f**i - 25/3*f**3 = 0.
-1
Factor -116/13*z + 2/13*z**4 + 38/13 - 44/13*z**3 + 120/13*z**2.
2*(z - 19)*(z - 1)**3/13
Suppose 2*n = -n + 9. Determine i so that -36*i**3 + 6*i - n*i + 4*i + 9*i**2 - i + 21*i**4 = 0.
-2/7, 0, 1
Let n(a) = -a - 2. Let t(h) = 5*h**4 + 50*h**3 + 115*h**2 + 74*h + 8. Let j(c) = 4*n(c) + t(c). Let j(r) = 0. Calculate r.
-7, -2, -1, 0
Let p be (162/(-16))/(36/(-48)). Let j(q) be the first derivative of 9/2*q**2 + 2 + p*q + 1/2*q**3. Solve j(u) = 0.
-3
Find l such that -4/5*l**4 - 72/5*l**2 - 32/5*l**3 - 4 - 64/5*l = 0.
-5, -1
Let t(z) = z**2 + 10*z - 36. Let k be t(-13). Let j(p) be the second derivative of -5*p - 1/9*p**4 + 0 + 1/9*p**k + 1/30*p**5 + 0*p**2. Factor j(g).
2*g*(g - 1)**2/3
Solve 33*z - 60 - z**3 + 29*z**2 - z + 0 - z**3 + z**3 = 0 for z.
-2, 1, 30
Suppose -4*m = 5*f - 8, -3*m = 3*f + f - 7. Factor -38*b**f + 2*b**5 + 38*b**4.
2*b**5
Suppose n + 6 = -3*k, 4*n + 5*k + 18 = 5*n. Let r be 222/132 - n/2. Suppose 0*l + 4/11*l**4 + 0 + 0*l**2 + 2/11*l**3 + r*l**5 = 0. What is l?
-1, 0
Let d(h) = -3*h**2 + 5*h + 5. Let b(r) = 2*r**2 - 4*r - 4. Let s = 2 - 19. Let g = -12 - s. Let y(n) = g*b(n) + 4*d(n). Let y(k) = 0. Calculate k.
0
Let g(y) = y**3 - 3*y**2 - 5*y - 10. Let h(p) = -p**3 + 4*p**2 + 6*p + 12. Let s(n) = -6*g(n) - 5*h(n). Factor s(b).
-b**2*(b + 2)
Let c(r) = -6*r**2 - 10*r + 80. Let h(u) = -4*u**2 - 6*u + 53. Let o(p) = 5*c(p) - 8*h(p). Factor o(b).
2*(b - 4)*(b + 3)
Let m(v) = -v**3 - 5*v**2 + 11*v + 34. Let g be m(-6). Let z(k) be the first derivative of g + 4/11*k + 2/33*k**3 - 3/11*k**2. Solve z(x) = 0.
1, 2
Let r(v) = -v**2 - 22*v + 30. Let y be r(-23). Factor 16 + 3*h - y - 3*h**2 + 3*h.
-3*(h - 3)*(h + 1)
Let c(d) be the first derivative of 2/15*d**3 - 1/10*d**2 + 0*d + 17 - 1/20*d**4. Find n such that c(n) = 0.
0, 1
Suppose -2*v = -12*m + 10*m - 14, -10 = 2*m. Let o(q) = q**3 + 21*q**2 + 50*q + 38. Let s(y) = -21*y**2 - 51*y - 39. Let j(n) = v*s(n) + 3*o(n). Factor j(z).
3*(z + 2)**2*(z + 3)
Let 991*i + 1 + 320*i**2 - 525*i - 121*i**3 - 37*i**3 - 13 = 0. Calculate i.
-1, 2/79, 3
Factor -3/4*s**2 - 3 + 3*s.
-3*(s - 2)**2/4
Let t(i) = i**3 + 5*i**2 - 4*i + 14. Let g be t(-6). Determine k, given that -5*k**g - 30*k**3 + 30*k**3 + 4*k**4 + k**4 = 0.
-1, 0, 1
Let v = 104 - 108. Let q(g) = g**2 + 8*g + 19. Let b be q(v). Factor -1/2*d**b + 0*d + 0*d**2 - 1/2*d**4 + 0.
-d**3*(d + 1)/2
Let -5/2*n**3 - 4*n - 3/2*n**4 + 13*n**2 + 0 = 0. Calculate n.
-4, 0, 1/3, 2
Let h be 2718/(-604)*(-4)/6. Find c, given that -3 + 45/4*c**2 - 3*c**h - 9*c = 0.
-1/4, 2
Let g(u) be the first derivative of -2*u**5/15 + 2*u**3 + 342. Let g(n) = 0. Calculate n.
-3, 0, 3
Let k be (-31)/((-744)/144)*(-3)/((-63)/2). Solve 6/7*h + 4/7*h**2 - k = 0.
-2, 1/2
What is k in 2703/5*k - 309/5*k**2 + 9/5*k**3 - 867/5 = 0?
1/3, 17
Let o(u) be the first derivative of -16*u**4/3 - 208*u**3/3 + 53*u**2/2 - 10*u/3 + 150. Factor o(x).
-(x + 10)*(8*x - 1)**2/3
Suppose -9*q + 2 = -8*q. Let d(n) be the first derivative of -q*n**2 + 2/3*n**3 - 1 + 2*n. Suppose d(c) = 0. Calculate c.
1
Let q(j) = 102*j + 50 - 18 + 22*j**2 + 10*j**2. Let k(h) = 11*h**2 + 34*h + 11. Let f(u) = 8*k(u) - 3*q(u). Factor f(d).
-2*(d + 4)*(4*d + 1)
Suppose h + 28 - 30 = 0. Let 2*j**3 - 3*j - 1 - 7*j**h + 9*j**2 - j**4 + 2*j - j**5 = 0. Calculate j.
-1, 1
Find j, given that -5*j - 45 + 36 + j**2 - 41 = 0.
-5, 10
Let t(n) be the third derivative of -n**6/480 - n**5/240 + n**4/48 + 202*n**2. Factor t(p).
-p*(p - 1)*(p + 2)/4
Let w be (-72)/168 + (-62)/(-14). Let t(g) be the first derivative of -9/2*g**2 + 2*g - 11 + 6/5*g**5 - 7/2*g**w + 16/3*g**3 - 1/6*g**6. Factor t(a).
-(a - 2)*(a - 1)**4
Suppose -1/7*s**2 - 8*s - 112 = 0. Calculate s.
-28
Let d(v) be the third derivative of -1/3*v**3 + 17*v**2 + 0*v - 1/60*v**6 - 1/60*v**5 + 0 + 5/24*v**4. Find h such that d(h) = 0.
-2, 1/2, 1
Let h(y) be the second derivative of y**5/60 - y**4/6 + y**3/2 + 2*y**2 - 5*y. Let z(g) be the first derivative of h(g). Factor z(t).
(t - 3)*(t - 1)
Let p = 33 - 29. Find t such that 4*t**p - 6*t**3 + 4*t**2 - t + 3*t**5 - 7*t**5 + 3*t**5 = 0.
0, 1
Let g be (-34)/(-124) - 7/(-14). Let x = 79/62 - g. Factor 0 - 1/2*v + 1/2*v**2 - x*v**4 + 1/2*v**3.
-v*(v - 1)**2*(v + 1)/2
Let u = 32399/60 + -540. Let l = 13/20 - u. Factor 2/9*j**3 + l*j + 2/9 + 2/3*j**2.
2*(j + 1)**3/9
Suppose 2*n + 10 = -y - y, -15 = n + 3*y. Suppose -5*x + x + 76 = n. Suppose -x*h**3 + 8 + 8*h + 2*h**4 + 11*h**3 - 4*h**4 - 6*h**2 = 0. Calculate h.
-2, -1, 1
Suppose 56*d + 60 = 71*d. Factor -1/3*y**2 + 0*y + 1/3*y**5 + 0 - y**d + y**3.
y**2*(y - 1)**3/3
Let n(d) be the second derivative of d**5/150 - d**4/20 + 2*d**3/15 + 19*d**2/2 + 22*d. Let y(k) be the first derivative of n(k). Suppose y(z) = 0. What is z?
1, 2
Let u(w) be the first derivative of -27 + 0*w + 4/5*w**5 + 0*w**2 + 0*w**3 + 0*w**4. Let u(f) = 0. Calculate f.
0
Let z(d) be the first derivative of -d**3/3 - 20*d**2 - 400*d + 70. Suppose z(b) = 0. Calculate b.
-20
Let y(a) be the third derivative of a**7/105 + a**6/5 + 26*a**5/15 + 8*a**4 + 64*a**3/3 - 554*a**2. Factor y(g).
2*(g + 2)**2*(g + 4)**2
Let p = 12 - 11. Let m be (-32)/6*(p + 82/(-76)). Factor 40/19*z**3 + m*z**2 + 0*z + 50/19*z**4 + 0.
2*z**2*(5*z + 2)**2/19
Suppose -7*i = -22*i + 45. Suppose 0 = -4*g + i*q + 9, -q = 3*g + 19 - 16. Solve g - 1/3*l**2 - 1/6*l**3 - 1/6*l = 0.
-1, 0
Let m(y) be the third derivative of 0*y + 2/3*y**3 + 0 + 7/15*y**5 - 23*y**2 + 2/105*y**7 - 3/4*y**4 - 3/20*y**6. Factor m(u).
2*(u - 2)*(u - 1)**2*(2*u - 1)
Let k(w) be the third derivative of w**7/630 - w**6/40 + 11*w**5/90 - 16*w**3/9 + 55*w**2. Factor k(v).
(v - 4)**2*(v - 2)*(v + 1)/3
Find i, given that 3432*i**3 - 3378*i**3 + 25*i - i + 3*i**5 - 60*i**2 - 21*i**4 = 0.
0, 1, 2
Let x(g) = 7*g + 32. Let t be x(-16). Let i be (24/(-10))/((-26)/t + -1). Solve 2/9 + i*z**2 + 16/9*z = 0.
-1/4
Solve 6 + 14/5*f**3 - 61/10*f**2 + 1/10*f**4 - 14/5*f = 0.
-30, -1, 1, 2
Suppose -s = -5*k - 6, 2*s + 0*s + 33 = -5*k. Let r be (-30)/(s/6 + 0). Suppose 12 + m**2 + m**2 - r = 0. What is m?
-2, 2
Let u = -66 - -98. Suppose 4*g - u = -0*g. What is l in -7*l**4 - l**2 + g*l**4 + l**3 - 2 + 2 - l**5 = 0?
-1, 0, 1
Let x be (-7 + -7)*(-7)/(98/4). Factor 12/5*o**2 + 34/5*o + x.
2*(o + 2)*(6*o + 5)/5
Let b(z) be the first derivative of 3*z**6 + 118*z**5/5 + 67*z**4 + 72*z**3 - 8*z**2 - 64*z + 81. Factor b(j).
2*(j + 1)*(j + 2)**3*(9*j - 4)
Let s(g) be the first derivative of -g**9/3780 + g**8/2100 + g**7/210 + g**6/150 - 19*g**3/3 - 4. Let b(q) be the third derivative of s(q). Factor b(w).
-4*w**2*(w - 3)*(w + 1)**2/5
Let h = -142 - -147. Let p be h/(-30)*16/(-12). Determine m, given that p*m**3 + 0 + 2/9*m**4 - 2/9*m**2 - 2/9*m**5 + 0*m = 0.
-1, 0, 1
Let t(z) be the third derivative of z**11/166320 - z**10/18900 + z**9/10080 + 3*z**5/10 + 2*z**2. Let r(u) be the third derivative of t(u). Factor r(a).
2*a**3*(a - 3)*(a - 1)
Let d(a) be the third derivative of 1/20*a**5 - a**3 + 0*a + 0 - 3/8*a**4 + 3/40*a**6 + 1/70*a**7 - 14*a**2. Suppose d(h) = 0. What is h?
-2, -1, 1
Factor -2*c**3 + 3/2*c**2 + 0 + 1/6*c**4 + 11/3*c.
c*(c - 11)*(c - 2)*(c + 1)/6
Find h, given that 0 + 0*h + 8/5*h**2 - 2/5*h**3 - 1/5*h**4 = 0.
-4, 0, 2
Let c(l) be the first derivative of l**7/280 - 3*l**5/40 + l**4/4 + 2*l**3 + 11. Let z(y) be the third derivative of c(y). Find f, given that z(f) = 0.
-2, 1
Let h(l) = -l**2 - 3*l. Let u be h(-2). Let x be (u/(-2))/(8/(-32)). Suppose 4*a - 5*a + a**x + 0*a - 3*a**2 + 3*a = 0. Calculate a.
-2, 0, 1
Factor 12 - 1/2*u**3 + 1/2*u**2 + 13*u.
-(u - 6)*(u + 1)*(u + 4)/2
Let 