b*(b - 14)*(b - 3)
Let a(z) = z**5 + z**4 - 15*z**3 - 4*z**2 + 11*z. Let t(q) = 16*q**5 + 16*q**4 - 224*q**3 - 60*q**2 + 164*q. Let r(o) = -44*a(o) + 3*t(o). Factor r(l).
4*l*(l - 1)**2*(l + 1)*(l + 2)
Let z = 81 - 94. Let s(a) = -7*a - 87. Let c be s(z). Find f such that -8/5*f**2 + 0 - 2*f**c + 0*f - 24/5*f**3 = 0.
-2, -2/5, 0
Let p(y) be the second derivative of -2*y**2 + 43/40*y**5 + 5/3*y**3 - 5*y + 31/12*y**4 + 0 + 3/20*y**6. Factor p(w).
(w + 1)*(w + 2)**2*(9*w - 2)/2
Let a(z) be the first derivative of 2*z**3/33 - 2*z**2/11 - 30*z/11 - 345. Determine d so that a(d) = 0.
-3, 5
Suppose -u + 2*n + 8 = 0, 5*n = -53*u + 52*u + 22. Let a(g) be the second derivative of -u*g - 1/30*g**5 - 8/9*g**3 - 5/18*g**4 + 0 - 4/3*g**2. Factor a(s).
-2*(s + 1)*(s + 2)**2/3
Let m(s) be the first derivative of -2*s**5/35 + 3*s**4/14 - 787. What is v in m(v) = 0?
0, 3
Let y = -4 + 8. Suppose -5*l + 23 = -7. Determine w so that -l - 4*w**2 + w**5 + 6 + 3*w**y = 0.
-2, 0, 1
Suppose 4*b = 4*q + 20, 7*b - 11 = 3*b + q. Factor -5*p**2 - 8*p - b + 10 + 7*p**2.
2*(p - 2)**2
Let b(l) be the first derivative of -6*l**3 - 87*l**2/2 + 15*l - 266. Suppose b(d) = 0. What is d?
-5, 1/6
Let p be (-36)/(17136/(-1372)) + ((-4)/(-34) - 0). Factor -3/5*q - 4/5*q**2 + 1/5*q**p + 18/5.
(q - 3)**2*(q + 2)/5
Let n be (1/4 - 0)*(-580)/(-3). Let h = n + -47. Factor -h + 0*l + 1/3*l**2.
(l - 2)*(l + 2)/3
Let h(c) be the first derivative of 8*c**3/3 - 60*c**2 + 450*c + 823. Factor h(j).
2*(2*j - 15)**2
Let h(v) be the second derivative of v**5/160 + v**4/32 + v**3/16 + 11*v**2 - 10*v - 2. Let o(d) be the first derivative of h(d). Factor o(j).
3*(j + 1)**2/8
What is x in 59*x**2 - 83 - 24*x**4 + 226*x - 61 + 114*x**3 + 79*x - 327*x**2 + 2*x**5 + 7*x = 0?
2, 3
Let v(j) be the third derivative of -1/15*j**5 - 2*j**2 + 0*j + 0*j**4 + 0 + 8/3*j**3. Factor v(u).
-4*(u - 2)*(u + 2)
Let i = 40 + -22. Suppose 0 = -i*g + 12*g + 12. Suppose 0*z**g - 3/2*z**5 + 0 + 0*z**3 + 3/2*z**4 + 0*z = 0. Calculate z.
0, 1
Let t(o) be the second derivative of o**5/5 + 4*o**4/3 + 2*o**3 + 289*o. Factor t(x).
4*x*(x + 1)*(x + 3)
Let h(f) be the second derivative of 0*f**2 + 12*f - 1/16*f**4 + 0 - 3/8*f**3. Find g, given that h(g) = 0.
-3, 0
Let w be ((-3)/1 + 3)/(-38 - -40). Factor 0*q + 5/2*q**3 + w*q**2 + 0*q**4 + 0 - 5/2*q**5.
-5*q**3*(q - 1)*(q + 1)/2
Factor 205*c + 5/2*c**2 + 8405/2.
5*(c + 41)**2/2
Let p = 6978 + -6975. Let r be 2/(-9) + 94/18. Factor -4/3*d**4 - 4/3*d + 0 + 4/3*d**2 + 1/3*d**r + d**p.
d*(d - 2)**2*(d - 1)*(d + 1)/3
Let m(k) be the second derivative of -k**6/6 - 45*k**5/4 - 2845*k**4/12 - 2345*k**3/2 - 2205*k**2 - 80*k + 1. Find c such that m(c) = 0.
-21, -2, -1
Let y be 12/16 - (-208)/4. Let o = -52 + y. Factor 5/4*q**2 + o - 2*q.
(q - 1)*(5*q - 3)/4
Suppose -8*o - 53 = -93. Let p(z) be the first derivative of -4 - 1/8*z**6 + 0*z**4 + 3/8*z**2 + 1/2*z**3 + 0*z - 3/10*z**o. Factor p(g).
-3*g*(g - 1)*(g + 1)**3/4
Let m = -1679/2 - -918. Let j = m - 78. Factor -3/2*q - j*q**2 - 1.
-(q + 1)*(q + 2)/2
Let x(a) be the first derivative of a**3/30 - a**2/2 + 8*a/5 + 89. Factor x(q).
(q - 8)*(q - 2)/10
Let b(w) be the first derivative of -6/5*w + 1/5*w**3 + 3/10*w**2 - 39. Determine m, given that b(m) = 0.
-2, 1
Let t(k) be the second derivative of -1/120*k**6 + 2*k**2 - 1/24*k**4 + 3*k - 1/30*k**5 + 0 + 0*k**3. Let q(r) be the first derivative of t(r). Factor q(j).
-j*(j + 1)**2
Let p = 270 + -1887/7. Let k(i) = -21*i + 716. Let g be k(34). What is l in -p + 3/7*l**g + 0*l = 0?
-1, 1
Let c(a) be the first derivative of -a**6 + 4*a**5/5 + 8*a**4 + 28*a**3/3 + 3*a**2 + 308. Solve c(n) = 0 for n.
-1, -1/3, 0, 3
Suppose 0*g - 2*g**4 - g**2 - 5/2*g**3 - 1/2*g**5 + 0 = 0. Calculate g.
-2, -1, 0
Let l(o) be the third derivative of 11/90*o**5 + 0 + 13/72*o**4 + 19*o**2 + 0*o + 1/6*o**3 + 1/1008*o**8 + 1/20*o**6 + 1/90*o**7. Factor l(b).
(b + 1)**4*(b + 3)/3
Let b(o) be the first derivative of -o**6/200 - 2*o**5/75 + o**4/30 + 8*o**3/3 - 3. Let s(r) be the third derivative of b(r). Determine k so that s(k) = 0.
-2, 2/9
Suppose -4*q = 3*t - 38 + 14, 5*t - 35 = -5*q. Factor m**3 + m**3 + 2*m + 2*m**3 - 3*m**3 + q*m**2.
m*(m + 1)*(m + 2)
Suppose -7*f + 18 = -17. Let v(p) be the third derivative of 1/8*p**4 - 1/80*p**f - 1/2*p**3 + 0 + 6*p**2 + 0*p. Factor v(h).
-3*(h - 2)**2/4
Let m = -1335/493 + 99/29. Factor 0 + 24/17*u**2 + m*u**3 + 16/17*u + 2/17*u**4.
2*u*(u + 2)**3/17
Let k(f) = f**3 - 4*f**2 + 6. Let u be k(4). Factor u*l - 2*l**2 + 6*l**2 + 9 - 3*l**2 + 0*l**2.
(l + 3)**2
Suppose -2*a = 45 - 51. Suppose 2*j + 20 = 3*y + 7*j, y + a*j = 12. Factor y + 1/3*r - 1/6*r**2.
-r*(r - 2)/6
Let j be -2 - 204/(-99) - 3328/(-1716). Suppose -1/11*t**j + 0 - 4/11*t = 0. What is t?
-4, 0
Let g(s) = -3*s**2 - s - 1. Let z(y) = -4*y**2 + 19*y - 52. Let k(q) = 3*g(q) - 3*z(q). Solve k(w) = 0 for w.
3, 17
Let f = 31 + -19. Let t = 59 + -57. Determine h, given that -3*h**5 + 0*h**4 + t*h**3 - 12*h + 7*h**3 - f*h**2 + 6*h**4 = 0.
-1, 0, 2
Let t(y) be the second derivative of -1/15*y**3 + 1/25*y**5 - 1/105*y**7 + 1/15*y**4 - 1/5*y**2 + 7*y - 1/75*y**6 + 0. Factor t(q).
-2*(q - 1)**2*(q + 1)**3/5
Let 210 - 105/2*k**2 - 5/2*k**3 + 10*k = 0. Calculate k.
-21, -2, 2
Let f(r) be the first derivative of 2*r**4 - r**6 - r**2 - 4*r**3 + 8/5*r**5 + 15 + 4*r. Determine s so that f(s) = 0.
-1, -2/3, 1
Let p(d) be the first derivative of 0*d + 5/3*d**3 - 5/2*d**4 + 14 + 5*d**2 - d**5. Factor p(v).
-5*v*(v - 1)*(v + 1)*(v + 2)
Find z such that -32/21*z**3 - 4/3*z**2 - 2/7*z + 0 - 4/21*z**4 + 2/7*z**5 = 0.
-1, -1/3, 0, 3
Let n(g) be the second derivative of 3*g**5/4 - 95*g**4/6 + 20*g**3 + 125*g. Suppose n(b) = 0. Calculate b.
0, 2/3, 12
Suppose -4*u - 56 = 5*g - 42, 8 = g - u. Solve 8/7*y**g + 2/21*y**4 + 20/21*y + 2/7 + 4/7*y**3 = 0.
-3, -1
Let x = 3069 - 3067. Factor 24 + 2/3*o**x - 8*o.
2*(o - 6)**2/3
Let v(d) be the third derivative of -5*d**9/432 + d**8/168 - 2*d**3/3 + 25*d**2. Let i(l) be the first derivative of v(l). Determine k so that i(k) = 0.
0, 2/7
Suppose -2*r + 7*r + 2*j = 18, 0 = -2*r - 4*j + 20. Let i(w) be the first derivative of 8 - 1/2*w**r - 1/3*w**3 + 2*w. Factor i(s).
-(s - 1)*(s + 2)
Let q(o) be the second derivative of o**6/15 + o**5/5 - 2*o**4/3 - 8*o**3/3 + 117*o. Find n, given that q(n) = 0.
-2, 0, 2
Let q be (-204)/9 + -96 + 122. Factor -14/3*l**2 - 6*l**3 - 2/3*l**5 + 0 - q*l**4 - 4/3*l.
-2*l*(l + 1)**3*(l + 2)/3
Suppose 3*n + 2*o = 563, 18*o = 3*n + 23*o - 557. Let t = n - 185. Find y such that -18/5*y**3 + 9/5*y + 3/5*y**t + 3/5 + 9/5*y**5 - 6/5*y**2 = 0.
-1, -1/3, 1
Let m(z) = 3*z**3 + z**2 - z. Let q be m(1). Suppose 0 = 5*o - q*o - 6. Factor 2*y**2 - 3 + 4*y**o + y**4 + 0*y**2 - 4*y - 2 + 2.
(y - 1)*(y + 1)**2*(y + 3)
Let f(d) = -d**3 - 6*d**2 + 8*d + 9. Suppose 11*j - 7*j + 28 = 0. Let m be f(j). Find c such that -7*c + 13*c - 10 + 2*c**m + 2 = 0.
-4, 1
Let f(a) be the first derivative of a**9/21168 - a**7/5880 + 4*a**3/3 + 12. Let s(g) be the third derivative of f(g). Solve s(x) = 0.
-1, 0, 1
Let u(l) be the first derivative of -l**4/4 - 5*l**3/3 - 3*l**2 - 99. Factor u(a).
-a*(a + 2)*(a + 3)
Suppose 62*t - 72 = 114. Let i(a) be the first derivative of 7/5*a**2 + 2/5*a**t + 4/5*a + 3. Solve i(d) = 0.
-2, -1/3
Let f(p) be the first derivative of 2*p**6/3 + 16*p**5/5 + 5*p**4 + 8*p**3/3 - 269. Factor f(m).
4*m**2*(m + 1)**2*(m + 2)
Let v(l) = 2*l**2 - 3*l. Let a be v(2). Find b such that 3*b**5 + 8*b - 3*b - 9*b**a + b**4 - 7*b - 9*b**3 = 0.
-1, -1/3, 0, 2
Let d be (8 + 18)/(4/(-14)). Let t be -5 + (d/(-3) - 0). Factor 0 - 84*q**3 - 108*q**4 - 36*q**5 - t*q**2 - 8/3*q.
-4*q*(q + 2)*(3*q + 1)**3/3
Let f be -1 + 1 + 0 - (-86 - -81). Let d(u) be the first derivative of -1/5*u**f + 0*u + 0*u**3 + 1/4*u**4 + 0*u**2 - 11. Factor d(t).
-t**3*(t - 1)
Let l(p) = -15*p**3 - 8*p**2 + p + 19. Let d(q) = -13*q**3 - 7*q**2 + 2*q + 18. Let o(c) = -7*d(c) + 6*l(c). Determine x so that o(x) = 0.
-2, 3
Let t(k) be the second derivative of k**9/17640 + k**8/3920 - 17*k**4/12 - 15*k. Let u(w) be the third derivative of t(w). Factor u(r).
6*r**3*(r + 2)/7
Let x = 249/22 - -24/11. Suppose -24 = -4*d, -122 = -5*g - 5*d - 82. Let 9*v**g + x*v**3 + 2*v + 0 + 27/4*v**4 = 0. Calculate v.
-2/3, 0
Let -18 - 15/2*w - 3/4*w*