 l + 59. Factor r(g).
-2*(g - 4)*(2*g - 1)**2/5
Let g(w) be the second derivative of w**4/54 + 5*w**3/27 - 2*w**2/3 + 221*w. Factor g(i).
2*(i - 1)*(i + 6)/9
Let v be 198/429 + (-90)/(-312). Solve 0*c - 3/4*c**2 + 0 - v*c**3 = 0 for c.
-1, 0
Let y(f) = 8*f + 24. Let d be y(-1). Suppose 2 + d = 6*o. Solve 1/3*b**2 + o + 2*b = 0.
-3
Let f(i) be the first derivative of 5*i**4/4 + 155*i**3/3 + 555*i**2/2 + 405*i - 89. Determine w so that f(w) = 0.
-27, -3, -1
Solve -159 + 17*m**2 - 111 + 15*m + 12*m**2 - 24*m**2 = 0.
-9, 6
Let w(q) be the third derivative of -q**8/28 + 11*q**7/70 - q**6/40 - 13*q**5/20 + 5*q**4/8 + q**3 + 32*q**2. Determine b, given that w(b) = 0.
-1, -1/4, 1, 2
Let x(w) be the third derivative of 83*w**5/210 - 85*w**4/84 + 2*w**3/21 - 6*w**2 + 15. Suppose x(d) = 0. What is d?
2/83, 1
Suppose 4*d + 5*h - 8 = 3*d, 2*h - 4 = 0. Let g(n) = 3*n**4 - 6*n**2 - 2*n - 2. Let v(a) = -a**4 + a**2 + a + 1. Let m(s) = d*v(s) - g(s). Solve m(l) = 0.
-2, 0, 2
Factor 0 + 14/9*y**2 + 4/9*y + 2/3*y**3.
2*y*(y + 2)*(3*y + 1)/9
Find f, given that 1/8*f**3 + 9/2*f**4 + 0*f - 1/8*f**5 - 9/2*f**2 + 0 = 0.
-1, 0, 1, 36
Let f(c) = 3*c**2 - 286*c + 20160. Let d(o) = -7*o**2 + 573*o - 40318. Let q(r) = -2*d(r) - 5*f(r). Suppose q(x) = 0. What is x?
142
Let i(q) be the first derivative of -2/5*q**5 + 0*q**2 + 1/2*q**4 + 4/3*q**3 + 4 + 0*q. Factor i(r).
-2*r**2*(r - 2)*(r + 1)
Let x(u) = -15 + 5*u + 6 + 6*u**2 - u + 11. Let v be x(5). Factor 28*o**2 + v*o**4 - 168*o**4 + 8*o**2 + 8 - 28*o - 20*o**3.
4*(o - 2)*(o - 1)**3
Let z = 21 + -18. Let o(y) = -y**z + 0*y**2 + 23*y + y**2 - 22*y. Let n(c) = c**4 + 2*c**3 + 3*c**2 + c. Let q(l) = 3*n(l) - 3*o(l). Let q(u) = 0. What is u?
-2, -1, 0
Let r = 5 - 2. Suppose -6*q = 234 - 1854. Solve -l + q*l**2 - 192*l**4 + 13*l - 315*l**5 - 24 - 264*l**4 + 93*l**r = 0 for l.
-1, -2/5, 2/7, 2/3
What is i in 2*i**3 + 0*i + 2*i**2 + 0 + 1/2*i**4 = 0?
-2, 0
Suppose 5*m = -5*z, 2*z + 9 = 16*m - 21*m. Let y(j) be the third derivative of 0 - 1/4*j**z + 9*j**2 - 1/80*j**6 + 0*j + 11/120*j**5 - 5/48*j**4. Factor y(b).
-(b - 3)*(b - 1)*(3*b + 1)/2
Determine a so that -33*a**2 - 80 + 20*a**2 + 17*a**2 - 76*a = 0.
-1, 20
Let c = 30 - -43. Factor 5*j**4 + c*j**2 - 157*j**2 + 69*j**2 - 5*j + 5*j**3 + 10.
5*(j - 1)**2*(j + 1)*(j + 2)
Let u(c) be the second derivative of 1/3*c**4 + 21*c + 0 + 4*c**3 + 10*c**2. Factor u(h).
4*(h + 1)*(h + 5)
Suppose -2*n - 14*n = 33*n - 196. Factor 0 - 3/2*w**3 + 2*w + 0*w**2 - 1/2*w**n.
-w*(w - 1)*(w + 2)**2/2
Suppose 30*o - 192 = -54*o - 12*o. Determine b, given that 0 - 9/2*b**3 - 1/2*b**5 - b - 5/2*b**4 - 7/2*b**o = 0.
-2, -1, 0
Let y = -9298 - -9300. Factor 1/3 + 1/6*m**3 + 1/6*m**4 - 1/2*m**y - 1/6*m.
(m - 1)**2*(m + 1)*(m + 2)/6
Let q be ((-1504)/(-120))/(18/45). Solve -182*z**3 + 16*z + q*z**2 - 8/3 - 590/3*z**4 - 50*z**5 = 0.
-2, -1/3, 1/5
Suppose 5*g - 31 = -2*y, y = -7*g + 4*g + 18. Let z(u) be the first derivative of u**3 + 0*u - 1/5*u**5 + 0*u**4 - y + u**2. Factor z(v).
-v*(v - 2)*(v + 1)**2
Let c = 48 + -43. Find r, given that -2*r - 5*r**2 + c*r - 2*r + 4*r = 0.
0, 1
Suppose -3*u - 5*a + 16 = -0*a, 4*a - 12 = -2*u. Let 22*s + 5*s - 8*s**3 - 4*s**3 + 6 + 9*s**u + 0*s**3 = 0. Calculate s.
-1, -1/4, 2
Find g such that 2/13*g**4 + 0 + 50/13*g**3 - 50/13*g - 2/13*g**2 = 0.
-25, -1, 0, 1
Let v(l) be the first derivative of -l**8/168 + l**7/315 + l**6/90 + 2*l**2 - l + 26. Let t(s) be the second derivative of v(s). Let t(d) = 0. Calculate d.
-2/3, 0, 1
Factor 3/4*a - 1/4*a**2 + 1/2 - 1/4*a**4 - 3/4*a**3.
-(a - 1)*(a + 1)**2*(a + 2)/4
Factor -252*x**2 + 53 - 16*x**3 - 29 + 76*x + 168*x**2.
-4*(x - 1)*(x + 6)*(4*x + 1)
Let u(o) = o**2 + 6*o + 5. Let d be u(-6). Factor 21*x + 5*x**2 - 37 + 17 - d*x**3 - x.
-5*(x - 2)*(x - 1)*(x + 2)
Let y(p) = p - 1. Let u(q) = -q**2 - 47*q - 6. Let r(n) = u(n) - 6*y(n). Factor r(j).
-j*(j + 53)
Factor 126*i - 6*i + 51*i**2 + 100 + 41*i**2 - 57*i**2.
5*(i + 2)*(7*i + 10)
Let y(s) be the first derivative of 4/11*s + 1/11*s**2 - 2/11*s**3 - 17. Factor y(b).
-2*(b - 1)*(3*b + 2)/11
Let q(u) be the third derivative of -u**6/60 + 16*u**5/15 + u**4/27 - 128*u**3/27 + 41*u**2. Solve q(f) = 0 for f.
-2/3, 2/3, 32
Factor -22/9*k**2 + 0 - 52/9*k + 2/9*k**3.
2*k*(k - 13)*(k + 2)/9
Let w = -2171 - -6518/3. Determine t, given that -w*t**3 - 1/3 - t + 3*t**2 = 0.
-1/5, 1
Let a(y) = 9*y**2 - 630*y - 46219. Let m(t) = -4*t**2 + 314*t + 23109. Let o(x) = 5*a(x) + 11*m(x). What is w in o(w) = 0?
-152
Factor -21/2*u - 18 - 3/4*u**2.
-3*(u + 2)*(u + 12)/4
Let c(a) be the third derivative of a**9/241920 - a**7/6720 - a**6/1440 - 3*a**5/20 - 21*a**2. Let g(m) be the third derivative of c(m). Factor g(b).
(b - 2)*(b + 1)**2/4
Let u be (0/1)/(17 - 14). Factor -2*k**2 - 100 - 20*k + 2*k**2 - k**2 + u*k**2.
-(k + 10)**2
Factor 0 - 3/2*o**3 + 0*o - 3/8*o**2 - 9/8*o**4.
-3*o**2*(o + 1)*(3*o + 1)/8
Let x(o) be the first derivative of 0*o + 1/60*o**5 + 1/3*o**3 - 2*o**2 + 3 + 1/8*o**4. Let t(d) be the second derivative of x(d). What is z in t(z) = 0?
-2, -1
Let b(p) = 3*p**3 - 1. Let c(k) = 588*k**4 - 1074*k**3 + 423*k**2 + 78*k - 3. Let i(j) = 6*b(j) - c(j). Determine q so that i(q) = 0.
-1/14, 1
Let y(a) be the third derivative of 2*a**7/105 - a**6/2 + 68*a**5/15 - 10*a**4 - 96*a**3 - 10*a**2 + 7*a. Factor y(h).
4*(h - 6)**2*(h - 4)*(h + 1)
Let d(g) be the first derivative of -9/4*g**3 - 21/4*g**2 + 3/10*g**5 + 21/32*g**4 + 3*g + 14. Let d(t) = 0. Calculate t.
-2, 1/4, 2
Let u(m) be the first derivative of m**4/2 - 20*m**3/3 + 29*m**2 - 40*m + 169. Solve u(c) = 0 for c.
1, 4, 5
Suppose 0 = -2*h + 2*g - 4, 3*h - 4*g + 12 = h. Let -2*b + 2/3*b**h + 0 = 0. What is b?
0, 3
Suppose 17*g - 4 = 30. Let w(o) be the second derivative of 0 + g*o - 1/6*o**4 - 3/10*o**5 - 1/15*o**6 + o**3 + 2*o**2. Factor w(m).
-2*(m - 1)*(m + 1)**2*(m + 2)
Let r = 2 + -2. Suppose -5*k - 5 - 5 = -5*y, r = 4*k + 5*y - 37. Factor -z**4 + 3*z**5 - 9*z**k - 3*z + 4*z**4 + 0*z**5 - 3*z**2 + 9*z.
3*z*(z - 1)**2*(z + 1)*(z + 2)
Solve -189 + 47*v - 191 + 382 + 66*v**2 + 21*v = 0.
-1, -1/33
Let m(a) = -56*a**2 + 196*a + 48. Let h(s) = 19*s**2 - 66*s - 16. Let n(t) = -8*h(t) - 3*m(t). Solve n(d) = 0 for d.
-1/4, 4
Let x be ((8/(-4))/6)/((-17)/5). Let d = x - -4/17. Let 0 - 1/3*y**3 - d*y**2 + 0*y = 0. What is y?
-1, 0
Let i(m) = -5*m**4 + 10*m**3 - 21*m**2 + 14*m - 1. Let f be 5/(-2)*(-14)/35. Let s(a) = a**4 + a**2 - 1. Let g(b) = f*i(b) + 3*s(b). Factor g(j).
-2*(j - 2)*(j - 1)**3
Let g(x) = x + 10. Let d = -53 + 45. Let r be g(d). Determine a, given that -1/4*a**r - 1/4*a + 1/2 = 0.
-2, 1
Let i(c) = c - 10. Let k be i(24). Factor -39*g**2 - 108*g**4 - 151*g**3 - 3*g - k*g**4 + 7*g**3 + 14*g**4.
-3*g*(g + 1)*(6*g + 1)**2
Let p(h) = -4*h**2 - 10*h - 10. Suppose 4*q + 14 + 38 = 0. Let b(s) = 8*s**2 + 19*s + 19. Let f(v) = q*p(v) - 6*b(v). Factor f(d).
4*(d + 2)**2
Let n be (-4)/26 - (-32)/208. Let y(a) be the third derivative of 1/3*a**3 - 1/30*a**5 + 0*a + 2*a**2 + 0 + n*a**4. Suppose y(q) = 0. What is q?
-1, 1
Let y = 39 + -30. Let f = 5 + -3. Solve -2*h**2 + 4*h - 9*h - h + y - h**f = 0 for h.
-3, 1
Let d be 0/(-1) - (-48)/12. Suppose -4*f - 3 = -5*u, -d*u + 5*f - 4 = -1. Factor 2/3 - 4/3*a - 2*a**2 + 8/3*a**u + 8/3*a**4.
2*(a + 1)**2*(2*a - 1)**2/3
Let c(j) = -j**3 + 14*j**2 - 13*j + 3. Suppose r + 21 = -6*r. Let h(y) = 13*y**2 - 12*y + 3. Let s(a) = r*h(a) + 4*c(a). Factor s(l).
-(l - 3)*(l - 1)*(4*l - 1)
Let w(t) be the first derivative of 3*t**5/25 + 63*t**4/20 - 22*t**3/5 - 488. Factor w(b).
3*b**2*(b - 1)*(b + 22)/5
Let l(j) = -j**2 - j + 1. Suppose 5*x = -4*h - 13, 5*h + 15 = -2*x - 3*x. Let g(n) = -3*n**2 - n. Let c(s) = x*g(s) + 4*l(s). Solve c(u) = 0.
-4, 1
Let z(h) = h - 1. Let k(s) = -7*s**2 - s - 1. Let o(v) = -v**2 + v - 1. Let l(y) = k(y) - 5*o(y). Let p(g) = -l(g) - 4*z(g). Factor p(i).
2*i*(i + 1)
Let q(w) be the third derivative of -w**8/336 - w**7/70 + w**6/120 + w**5/20 + 164*w**2. Factor q(k).
-k**2*(k - 1)*(k + 1)*(k + 3)
Find v such that -24*v - 276*v**3 + 137*v**3 + 36 + 142*v**3 - 15*v**2 = 0.
-2, 1, 6
Let m = 11536 - 57672/5. Solve 6/5*g + m*g**2 - 2/5 = 0.
-1, 1/4
Let w(i) = -7*i**3 + 45*i**2 - 80*i + 2. Let j(m) = -10*m**3 + 46*m**2 - 79*m + 3. Let b(g) = 2*j(g) - 3*w(g). Factor b(n).
n*(n - 41)*(n 