z**2 - c*z - 1/27*z**3. Let d(a) = 0. What is a?
-1/2, 0
Suppose -17*a + 10*a = 21. Let i = a - -6. Factor -j + 1/3 + j**2 - 1/3*j**i.
-(j - 1)**3/3
Suppose b + g + 1 = -0, 3*b = -2*g + 2. Suppose 0 = b*v + 43 - 51. Factor -2/3*n**v + 0 + 0*n + 2/9*n**3.
2*n**2*(n - 3)/9
Let y(k) be the third derivative of 7*k**6/40 - 13*k**5/10 + 13*k**4/8 + 3*k**3 + 4*k**2 + 8*k. Factor y(u).
3*(u - 3)*(u - 1)*(7*u + 2)
Let b(l) = 5*l**3 + 9*l**2 + 583*l + 2523. Let j(q) = -2*q**3 - 3*q**2 - 195*q - 842. Let k(w) = -3*b(w) - 8*j(w). Solve k(p) = 0.
-7, 17
Suppose y - 4 = -2*r, -r - r = -2*y + 20. Suppose 6*f - 8*f = -y. Factor 3*m**2 - 5*m**3 + 13*m**3 - m**4 + 13*m**f + 7*m**3.
3*m**2*(m + 1)*(4*m + 1)
Let l(c) be the third derivative of 5*c**8/1344 - 11*c**7/168 + 3*c**6/32 + 11*c**5/48 - 25*c**4/48 + 3*c**2 + 121. Let l(j) = 0. What is j?
-1, 0, 1, 10
Let t(p) be the third derivative of p**5/12 - 15*p**4/8 + 35*p**3/3 + 535*p**2. Factor t(n).
5*(n - 7)*(n - 2)
Let o(t) be the second derivative of t**7/3360 + t**6/1440 + 19*t**3/6 - 4*t. Let z(i) be the second derivative of o(i). Factor z(w).
w**2*(w + 1)/4
Suppose -63 - 9 = -36*b. Solve -1/4*m**3 + 0*m - 1/4*m**5 + 0 + 0*m**b - 1/2*m**4 = 0.
-1, 0
Let q(m) be the third derivative of -m**8/33600 + m**7/1680 - m**6/300 + m**5/15 - 19*m**2. Let i(j) be the third derivative of q(j). Factor i(r).
-3*(r - 4)*(r - 1)/5
Let g(m) be the first derivative of m**4/30 + 8*m**3/15 - 13*m**2/15 - 42. Let g(o) = 0. What is o?
-13, 0, 1
Let o(y) be the first derivative of -y**5/20 - y**4/2 - 11*y**3/6 - 3*y**2 - 9*y/4 + 492. Factor o(c).
-(c + 1)**2*(c + 3)**2/4
Let f be (((-6)/2)/3)/(2 + -3). Let q be (f - 36/(-15)) + -3. Solve -q*j**2 - 4/5*j + 0 = 0 for j.
-2, 0
Let w = -658 + 660. Let i(g) be the third derivative of 0*g - 4*g**w + 1/210*g**5 + 1/420*g**6 + 0 - 1/84*g**4 - 1/21*g**3. Suppose i(v) = 0. Calculate v.
-1, 1
Suppose -85*c = -81*c - 12. Solve -2*z**4 + 5*z**4 + 9*z**2 - 3*z + 3*z**c - 6*z**3 - 6*z**3 = 0.
0, 1
Let g(l) = -8*l + 84. Let d(j) = j**2 + 7*j - 83. Let n(x) = 4*d(x) + 3*g(x). Determine b, given that n(b) = 0.
-5, 4
Let t(r) = 5*r**5 + 150*r**4 + 3*r - 6. Let q(s) = -65*s**5 - 1950*s**4 - 40*s + 80. Let b(w) = -3*q(w) - 40*t(w). Solve b(c) = 0 for c.
-30, 0
Let m(l) = 4*l**2 - 20*l + 11. Let b(w) = -4. Let t(x) = -1. Let k(r) = 2*b(r) - 7*t(r). Let c(f) = 5*k(f) - m(f). Factor c(v).
-4*(v - 4)*(v - 1)
Factor -2/7*a**2 + 12/7 - 2/7*a.
-2*(a - 2)*(a + 3)/7
Suppose 6*w - 8 = -2*w. Let q(y) = 3*y - 1. Let d be q(w). Factor 4*u - 6 - 2/3*u**d.
-2*(u - 3)**2/3
Let m(d) be the second derivative of -d**5/150 - d**4/45 + 11*d**3/45 + 4*d**2/5 - 74*d. Factor m(o).
-2*(o - 3)*(o + 1)*(o + 4)/15
Solve -78 + 5 + 1 - 132 + 4*z**2 + 56*z = 0.
-17, 3
Let y(z) = -4*z**5 - 8*z**4 - 10*z**3 - 10*z**2 - 5*z - 4. Let s(p) = p**5 + p**4 + 1. Let h(n) = -6*s(n) - 2*y(n). Suppose h(x) = 0. What is x?
-1
Let q(i) be the third derivative of 5/3*i**4 + 1/315*i**7 - 1/18*i**6 + 13/90*i**5 + 4*i**3 + 0*i + 0 + 12*i**2. Factor q(p).
2*(p - 6)**2*(p + 1)**2/3
Factor -6/5*z**2 - 192/5*z - 96 + 3/5*z**3.
3*(z - 10)*(z + 4)**2/5
Let g(c) be the first derivative of -c**5/5 - c**4 + 490. Factor g(p).
-p**3*(p + 4)
Let n(u) be the first derivative of u**4/11 + 62*u**3/33 + 112*u**2/11 - 128*u/11 - 8. Determine p, given that n(p) = 0.
-8, 1/2
Let w(y) = -18*y**3 - 160*y**2 + 736*y - 778. Let f(p) = -28*p**3 - 240*p**2 + 1104*p - 1168. Let k(t) = 5*f(t) - 8*w(t). Factor k(a).
4*(a - 2)**2*(a + 24)
Let q(g) be the second derivative of 0*g**2 + 0*g**5 + 1 - 1/32*g**4 + 14*g + 1/80*g**6 + 0*g**3. Factor q(f).
3*f**2*(f - 1)*(f + 1)/8
Let g(c) be the first derivative of 114*c**5/5 - 55*c**4/2 - 4*c**3/3 - 114. Find x such that g(x) = 0.
-2/57, 0, 1
Let f = 37 - 55. Let s = f + 18. Suppose -1/5*l**2 + 0*l + 1/5*l**4 + 0*l**3 + s = 0. What is l?
-1, 0, 1
Let p = 127/4 + -31. Let u(w) = w**2 - 2*w - 6. Let x be u(4). Factor -1/4*m**x + 1/4*m**3 - p - 5/4*m.
(m - 3)*(m + 1)**2/4
Suppose 0 = 2*d - 81 + 29. Let y = d + -24. Let -6/5 - 9/5*h - 3/5*h**y = 0. Calculate h.
-2, -1
Let p(y) be the third derivative of y**8/840 - y**7/175 - 11*y**6/300 + y**5/50 + y**4/6 + 89*y**2. Find g, given that p(g) = 0.
-2, -1, 0, 1, 5
Factor 9/10*a**4 + 3/2*a - 1/5*a**2 - 7/5*a**3 - 7/10 - 1/10*a**5.
-(a - 7)*(a - 1)**3*(a + 1)/10
Let s(r) be the third derivative of r**6/60 + r**5/15 - r**2 - 14. Factor s(n).
2*n**2*(n + 2)
Let u(d) be the first derivative of d**3/4 - 225*d**2/8 + 219*d/2 - 254. Factor u(m).
3*(m - 73)*(m - 2)/4
Suppose 0 = -22*z - 98*z + 201 + 159. Suppose -105/4*x + 3/4*x**4 + 25/4*x**z + 27/4*x**2 + 25/2 = 0. Calculate x.
-5, 2/3, 1
Let d(m) be the third derivative of -m**5/5 - m**4/3 - 3*m**2 + 5*m. Let d(g) = 0. Calculate g.
-2/3, 0
Find x such that x**3 + 0*x**4 + 0 - 2/3*x**2 + 0*x - 1/3*x**5 = 0.
-2, 0, 1
Let w(t) be the third derivative of -t**8/1680 + t**7/840 + t**6/180 - 17*t**3/6 - 4*t**2. Let l(z) be the first derivative of w(z). Factor l(c).
-c**2*(c - 2)*(c + 1)
Let j(t) = 676*t**2 + 154*t + 1. Let d(k) = k + 4. Let f(c) = -10*d(c) - 5*j(c). Factor f(u).
-5*(26*u + 3)**2
Let m(j) = 2*j**2 - 614*j + 44998. Let r(h) = 10*h**2 - 3077*h + 224989. Let x(i) = -22*m(i) + 4*r(i). Factor x(o).
-4*(o - 150)**2
Let t(v) be the second derivative of -8*v - 1/9*v**3 + 1/18*v**4 + 0 - 2/3*v**2. Factor t(s).
2*(s - 2)*(s + 1)/3
Factor 25/2 + 15/2*w + 1/2*w**3 - 9/2*w**2.
(w - 5)**2*(w + 1)/2
Let m(j) be the second derivative of -j**6/360 + j**5/120 + j**3/6 - j. Let h(d) be the second derivative of m(d). Factor h(x).
-x*(x - 1)
Suppose 3*u + 32 = 4*o - u, 4*u + 20 = 0. Suppose o*h + 8 = 5*n, 0 = -3*h + 2*n + 4 - 0. Find f such that 7 + 2*f**2 - 4*f + 3 - 4 - h = 0.
1
Let t be (5 - (-252)/(-60))/(2/5). Find v, given that 10/3*v - 4 - 2/3*v**t = 0.
2, 3
Suppose 192 = 467*f - 419*f. Suppose -1/3*q**2 + 1/3*q**f - 2/3*q**3 + 0 + 2/3*q = 0. What is q?
-1, 0, 1, 2
Suppose 4 = w - 6. Suppose 4*s - 2*g = -4*g + 20, 2*s - g = w. Let d**2 - 5 + 3 + s*d**2 - 4*d**3 = 0. Calculate d.
-1/2, 1
Let 0 - 3/8*n**4 - 3/4*n**3 + 3*n + 3/2*n**2 = 0. What is n?
-2, 0, 2
Let a(g) be the third derivative of g**8/1344 - g**7/252 + g**6/144 + 5*g**4/12 - 12*g**2. Let r(k) be the second derivative of a(k). Factor r(i).
5*i*(i - 1)**2
Factor -242/9*b**2 - 32 + 176/3*b.
-2*(11*b - 12)**2/9
Factor -2 + 5/2*y - 1/2*y**2.
-(y - 4)*(y - 1)/2
Let g(f) = 2*f**3 - 2*f**2 + f - 6. Let r be g(2). Suppose 3*n = p + 9, -2*n - r*p = -6*n + 12. Factor 6/7*x - 2/7*x**n + 4/7 + 0*x**2.
-2*(x - 2)*(x + 1)**2/7
Let r = 26 - 26. Let q(b) be the third derivative of -1/180*b**6 + r*b + 0*b**4 + 0*b**3 - 1/45*b**5 + 3*b**2 + 0. Factor q(o).
-2*o**2*(o + 2)/3
Suppose 40 - 30*r**2 - 9*r - 2*r**4 - 89*r**3 - 97*r**3 + r + 202*r**3 = 0. What is r?
-1, 2, 5
Let t be 2*(335/(-10) + -1). Let z be -1 + t/(-21) + 2/(-7). Factor -12/5 - 3/5*c**z + 12/5*c.
-3*(c - 2)**2/5
Let a be 1520/494 + 2/(-26). Let o(t) be the second derivative of 1/35*t**5 + 0*t**4 - 7*t + 0*t**a + 0 + 0*t**2 - 2/105*t**6. Factor o(j).
-4*j**3*(j - 1)/7
Suppose 3*h = -9, -31*s - 3*h + 6 = -28*s. Find t, given that -4/5*t - 14/5*t**4 + 0 + 2*t**s - 6/5*t**3 + 14/5*t**2 = 0.
-1, 0, 2/5, 1
Let x = -2/6155 + 24634/43085. What is o in x*o**4 + 32/7*o - 8/7*o**3 - 16/7 - 12/7*o**2 = 0?
-2, 1, 2
Let d = -48812/91 - -7040/13. Factor -d + 96/7*o + 3*o**3 + 99/7*o**2.
3*(o + 2)*(o + 3)*(7*o - 2)/7
Let c be 2*((-18)/(-60))/(92/(-20) - -5). Suppose 5*j - 3/2*j**2 - c = 0. What is j?
1/3, 3
Let p(c) be the second derivative of -c**7/105 - c**6/15 - 3*c**5/25 - c + 56. Factor p(h).
-2*h**3*(h + 2)*(h + 3)/5
Let i = 24 - 20. Factor 77*x**3 - x**i - 82*x**3 - 3*x**4 - x**4.
-5*x**3*(x + 1)
Let g be 1/3 + -1 + (-537212)/(-805836). Let k = g + 92133921/335765. Factor 84/5*a - 4/5 - 588/5*a**2 + k*a**3.
4*(7*a - 1)**3/5
Let r = 140 + -44. Let u be (r/(-400))/((-1)/5*1). Factor 0 + 0*q + 9/5*q**3 + u*q**2 + 3/5*q**4.
3*q**2*(q + 1)*(q + 2)/5
Let b(w) = -8*w**5 + 8*w**3 + 3*w**2. Let k(o) = 2*o + 9. Let u be k(-4). Let q(h) = h**5 - h**3 - h**2. Let a(i) = u*b(i) + 3*q(i). What is z in a(z) = 0?
-1, 0, 1
Let w(x) = -1. Let n(b) = -4*b**2 + 792*b - 39206. Let i(a) = -n(a) + 2*w(a). Let i(y) = 0. What is y?
99
Suppose 8*v = 1086 - 2774. Let t = 1056/