 + 0. Factor d(g).
-2*g*(g + 2)**2
Let n be 1 - ((-9)/882)/((-1)/102). Let v = n + 57/196. Factor -g - v - 5/4*g**2 - 1/2*g**3.
-(g + 1)**2*(2*g + 1)/4
Let w = -45 - -51. Factor -8 - 10*h**2 + 20*h + 5*h**3 - 2*h**3 - w*h**2 + h**3.
4*(h - 2)*(h - 1)**2
Let t(q) be the first derivative of -4/9*q**3 + 4/15*q**5 - 1/12*q**2 + 4/9*q**6 + 0*q - 5/8*q**4 - 16. Suppose t(m) = 0. Calculate m.
-1, -1/4, 0, 1
Suppose 23*v + 24 = 27*v + 4*s, -4*v - 3*s + 20 = 0. Let j(u) be the third derivative of -2/3*u**3 + 10*u**v - 1/6*u**5 - 7/12*u**4 + 0 + 0*u. Factor j(f).
-2*(f + 1)*(5*f + 2)
Let y(w) = -w - 13. Let k be y(-17). Determine i, given that 4*i**4 - 8 - 28 + 20*i**3 - 2*i + k - 14*i + 24*i**2 = 0.
-2, 1
Let b = -68 - -18. Let i = 36 + b. Let c(s) = 8*s**2 + 20*s + 14. Let r(g) = -3*g**2 - 7*g - 5. Let h(j) = i*r(j) - 5*c(j). Factor h(u).
2*u*(u - 1)
Let u(k) be the first derivative of -12*k**5/5 + 7*k**4 + 24*k**3 + 16*k**2 - 55. Factor u(g).
-4*g*(g - 4)*(g + 1)*(3*g + 2)
Solve -16/3*p**2 - 578/3*p**5 + 88*p**3 + 0 + 0*p - 340*p**4 = 0.
-2, 0, 2/17
Let u(s) = -s**3 + 6*s**2 + 5*s + 17. Let y be u(7). Factor -5*c + 8*c + 0*c + y*c**2.
3*c*(c + 1)
Let h(q) = 18*q**3 + 167*q**2 - 540*q - 432. Let f(g) = -6*g**3 - 56*g**2 + 180*g + 144. Let a(b) = -7*f(b) - 2*h(b). Factor a(v).
2*(v - 3)*(v + 12)*(3*v + 2)
Let l(c) be the third derivative of -c**10/151200 - c**9/30240 - c**8/20160 - c**5/6 - 7*c**2. Let v(a) be the third derivative of l(a). Factor v(f).
-f**2*(f + 1)**2
Let i be -3*(-10)/(-765)*(3 + -6). Factor -i*r**2 + 0*r + 2/17.
-2*(r - 1)*(r + 1)/17
Let -102 - x**2 + 3*x**2 - 21 + x**2 + 120*x = 0. What is x?
-41, 1
Let d be 0/(-8) - (-6 + 2). Suppose 2*c = 7*c - 30. Factor -c + 1 + 0 + 3 - d*m**2 - 9*m.
-(m + 2)*(4*m + 1)
Factor -2/5*c**2 - 62/5 + 64/5*c.
-2*(c - 31)*(c - 1)/5
Let l(k) = k**2 - k. Let i(x) = -2*x**2 - 11*x + 48. Let z(u) = 5*i(u) + 15*l(u). Solve z(r) = 0 for r.
6, 8
Let j(c) be the first derivative of 1/60*c**6 - 5 - 4*c + 0*c**2 - 1/6*c**3 - 1/10*c**5 + 5/24*c**4. Let o(h) be the first derivative of j(h). Factor o(m).
m*(m - 2)*(m - 1)**2/2
Let d(v) be the third derivative of v**5/330 - v**4/22 - 9*v**3/11 - 127*v**2 + 1. Factor d(w).
2*(w - 9)*(w + 3)/11
Let k(c) = c**4 + 31*c**3 + 15*c**2 - 59*c - 56. Let d(l) = -5*l**4 - 125*l**3 - 60*l**2 + 235*l + 225. Let y(f) = 6*d(f) + 25*k(f). Factor y(n).
-5*(n - 5)*(n - 2)*(n + 1)**2
Let k = 2920/13 + -8747/39. What is r in 2/3*r**3 + 4/3*r**4 + 0 - 4/3*r**2 + k*r**5 - r = 0?
-3, -1, 0, 1
Let y(d) be the first derivative of -d**5/30 - 17*d**4/24 + 19*d**3/18 + 17*d**2/12 - 3*d - 159. Factor y(w).
-(w - 1)**2*(w + 1)*(w + 18)/6
Let g be (-128)/(-22) - 18/(-99). Suppose 0*f - 3*f + g = 0. Factor -8*a**f + 6 - 3*a**3 + 5*a + 2*a**2 + 11*a - 13*a.
-3*(a - 1)*(a + 1)*(a + 2)
Let x(a) be the second derivative of -a**6/8 - 25*a**5/16 - 55*a**4/12 - 5*a**3/2 + 194*a. Suppose x(r) = 0. What is r?
-6, -2, -1/3, 0
Let d(l) = l**2 + 2*l - 7. Let o be d(-6). Let n = 22 - o. Factor -12*i**3 + 3*i + i - 3*i**4 - 15*i**2 - n*i - 5*i.
-3*i*(i + 1)**2*(i + 2)
Let b(g) = -g**3 - 69*g**2 - 2*g - 2. Let j(y) = -3*y**3 - 205*y**2 - 7*y - 7. Let l(f) = -7*b(f) + 2*j(f). Find d such that l(d) = 0.
-73, 0
Let l be (3 - (-104)/(-16)) + 0 + 4. Let b(x) = -x + 11. Let w be b(10). Determine a so that -w + 1/2*a**2 + l*a = 0.
-2, 1
Let y = -89 + 91. Let m(i) = 16*i**2 + 121*i + 87. Let c(z) = -4*z**2 - 30*z - 22. Let s(p) = y*m(p) + 9*c(p). Determine n so that s(n) = 0.
-6, -1
Let z(i) be the third derivative of -5/2*i**3 + 0*i - 5/12*i**5 + 0 + 20*i**2 + 5/3*i**4. Determine x, given that z(x) = 0.
3/5, 1
Let y(g) = -g**3 + 6*g**2 - 2*g - 16. Let a be y(5). Let v be a - -4 - (-3)/((-54)/48). Factor -10/9*q**2 - 4/9*q - v*q**3 + 8/9.
-(q + 2)**2*(3*q - 2)/9
Let p = 1452 + -27600/19. Let u = -5/38 - p. Factor -u*a**2 + 2*a - 2.
-(a - 2)**2/2
Let m = 2732 + -19108/7. Factor m + 16/7*t + 4/7*t**2.
4*(t + 2)**2/7
Let i(l) be the third derivative of -10/3*l**3 + 0*l + 1/15*l**5 + 0 + 56*l**2 - 2/3*l**4. Factor i(w).
4*(w - 5)*(w + 1)
Let u(q) be the third derivative of -5*q**8/21 + 26*q**7/7 - 359*q**6/24 - 439*q**5/48 + 75*q**4/16 + 125*q**3/24 + 62*q**2. Let u(b) = 0. What is b?
-1/4, 1/4, 5
Let w = 24 - 22. Suppose -w*o - 4*f = 4, o - 4*f = -3*o + 16. Factor -46*g**2 - g**5 + 51*g**2 + o*g + 3*g**3 + 0*g**5 - g**4.
-g*(g - 2)*(g + 1)**3
Let n be (233 - 234)/(-1 + -8). Factor 2/9 - 1/9*v + n*v**4 - 1/3*v**2 + 1/9*v**3.
(v - 1)**2*(v + 1)*(v + 2)/9
Factor 10*o**3 + 10*o**3 - 8*o + 7*o**3 + 11*o**3 + o**4 - 36*o**3 - 4*o**2.
o*(o - 2)*(o + 2)**2
Suppose 5207 + 587*b**2 + 1755 + 236*b - 585*b**2 = 0. What is b?
-59
Let j(r) = 2*r + 3 - 3*r**3 - r**3 + 3*r**3 + 4*r - 5*r**2. Let p be j(-6). Factor -2 + 29 - 18*w + 0*w**2 + p*w**2.
3*(w - 3)**2
Let i be 2/(-7) - 42/(-147). Let a(l) be the third derivative of i*l**3 + 0*l**5 + 0*l + 0*l**6 + 0 - 1/210*l**7 + 0*l**4 + 4*l**2. Let a(p) = 0. Calculate p.
0
Let l(j) be the first derivative of 0*j**2 + 5 + 0*j**3 - j - 1/54*j**4 - 1/90*j**5. Let w(f) be the first derivative of l(f). Factor w(m).
-2*m**2*(m + 1)/9
Let g = 480296/65 - 7389. Let p = 3/13 + g. Find l such that p*l**3 - 4/5*l**2 + 0 + 0*l = 0.
0, 2
Solve 2/13*o**2 + 968/13 + 88/13*o = 0 for o.
-22
Let n(t) be the first derivative of 595*t**3/3 - 1715*t**2/2 + 285*t - 1. Let c(x) = 27*x**2 - 78*x + 13. Let z(i) = 45*c(i) - 2*n(i). Factor z(u).
5*(u - 3)*(5*u - 1)
Let v(a) = 4*a**4 + 2*a**3 + 2*a. Let y(t) = -20*t - 20*t + t**2 + t**5 + 2*t**3 + 43*t + 5*t**4. Let f(c) = -6*v(c) + 4*y(c). Suppose f(u) = 0. What is u?
-1, 0, 1
Let a(o) be the third derivative of o**7/140 - o**6/16 - 3*o**5/40 + 13*o**4/16 + 5*o**3/2 - 57*o**2. Suppose a(k) = 0. Calculate k.
-1, 2, 5
Let p be (-102)/(-1428) - 15/(-42). Factor -3/7*m**3 + 9/7*m**2 + p - 9/7*m.
-3*(m - 1)**3/7
Suppose -1 = -m, 5*m - 14 + 1 = -2*w. Suppose 4*f = 5*f - a - 4, w*f - 6 = -a. Find d, given that 6/5*d**3 + 2/5*d + 2*d**f - 2/5 = 0.
-1, 1/3
Let l = -23 - -26. Solve 884*n**2 + 900*n**4 + 8 + 512*n**2 + 10 + 272*n - 2 + 2040*n**l = 0 for n.
-1, -2/15
Let q(b) be the first derivative of b**9/1008 - 9*b**8/560 + 3*b**7/56 + 5*b**6/24 - 2*b**3/3 - 9. Let o(c) be the third derivative of q(c). Factor o(w).
3*w**2*(w - 5)**2*(w + 1)
Let k(m) be the second derivative of 1/120*m**6 + 0 + 0*m**2 + 1/80*m**5 + 35*m - 1/24*m**3 - 1/48*m**4. Factor k(t).
t*(t - 1)*(t + 1)**2/4
Let o(j) be the first derivative of j**3/12 - j**2/2 - 5*j/4 + 35. Determine n, given that o(n) = 0.
-1, 5
Let m be 222/8 - 57/76. What is v in m - 16*v**3 - 30*v + 21*v**2 + 75*v + 19*v**3 = 0?
-3, -1
Factor -175/2*a**2 - 40*a**3 - 45*a + 0 + 5/2*a**4.
5*a*(a - 18)*(a + 1)**2/2
Let p(q) be the first derivative of q**4/20 + 4*q**3/15 - 347. Solve p(g) = 0 for g.
-4, 0
Let f(t) = -8*t**2 - 17*t - 9. Let h(g) = 4*g**2 + 13*g + 9. Let n(r) = 2*r**2 + 7*r + 5. Let w(o) = 3*h(o) - 5*n(o). Let q(u) = 2*f(u) + 9*w(u). Factor q(d).
2*d*(d + 1)
Let k(b) = -18*b + 3*b**2 - 4*b**2 + 1 - 45 - 28. Let f be k(-8). Factor 10/3*y**2 + 8/3 - f*y.
2*(y - 2)*(5*y - 2)/3
Suppose -v - 5*u = -2*v - 2, -4*v + 28 = -2*u. Let c = -6 + v. Factor -5 + 2*y**c - 1 + 2*y + 2*y.
2*(y - 1)*(y + 3)
Suppose l = 3*u - 7, -3*l + 25 = 2*l. Suppose -10 + 10 = -47*w. Factor 1/3*p**u + 1/3*p - 1/3*p**2 + w - 1/3*p**3.
p*(p - 1)**2*(p + 1)/3
Let k(o) be the third derivative of -o**5/30 - 5*o**4/12 - 2*o**3 - 724*o**2. Factor k(x).
-2*(x + 2)*(x + 3)
Let u = 953 + -949. Factor 8/9*c - 8/9*c**2 + 2/9*c**u + 0 - 2/9*c**3.
2*c*(c - 2)*(c - 1)*(c + 2)/9
Factor 5*t**4 - 17*t + 28 + 24*t**3 - 2*t**4 - 32*t**2 - t**4 + 2*t**4 - 7*t.
4*(t - 1)**2*(t + 1)*(t + 7)
Let q(j) be the second derivative of 1/2*j**5 + 0 + 4/15*j**6 + 1/3*j**4 - 23*j + 0*j**3 + 0*j**2 + 1/21*j**7. Factor q(w).
2*w**2*(w + 1)**2*(w + 2)
Let p(w) be the first derivative of -8*w - w**4 - 14 - 16/3*w**3 - 10*w**2. Find d such that p(d) = 0.
-2, -1
Let h(k) be the second derivative of 33*k**5/2 + 125*k**4/12 - 215*k**3/6 - 5*k**2 + 347*k - 2. Determine j so that h(j) = 0.
-1, -1/22, 2/3
Let s = 16 + -13. Let g be ((-2)/(-6))/((-2)/(-18)). What is w in -s*w - 6 + g*w**2 + 2 - 2 = 0?
-1, 2
Let n(m) be the first derivative of -m**8/420 - 4*m**7/525 + 23*m**2/2 + 16. Let q(y) be the 