1 - 6))*6. Factor 5/3*o**z + 7/3*o + 1 + q*o**3.
(o + 1)**2*(o + 3)/3
Let w(r) = 11*r**3 + 109*r**2 + 96*r - 206. Let s(i) = 6*i**3 + 54*i**2 + 48*i - 102. Let n(a) = 5*s(a) - 3*w(a). Factor n(m).
-3*(m - 1)*(m + 2)*(m + 18)
Let q be 4/10 + -5 + (-333)/45. Let d(o) = -6*o**3 + 28*o**2 - 26*o. Let t(z) = -z**3 - z**2 - z. Let y(c) = q*t(c) + d(c). Factor y(h).
2*h*(h + 7)*(3*h - 1)
Let m(j) = 9*j**2 - 18*j + 145. Let d(z) = 22*z**2 - 33*z + 291. Let t(s) = 6*d(s) - 15*m(s). Solve t(y) = 0 for y.
11, 13
Let o(h) be the first derivative of -1/4*h**2 + 1/20*h**5 - 1/4*h + 1/8*h**4 + 0*h**3 + 38. Let o(a) = 0. What is a?
-1, 1
Let g(o) be the third derivative of o**7/70 - 73*o**6/40 - 37*o**5/10 - 4*o**2 + 602*o + 2. Find f such that g(f) = 0.
-1, 0, 74
Let d = -22332 - -133997/6. Let y(k) be the first derivative of 42 + 0*k - 1/2*k**4 - 1/4*k**2 + d*k**3. Factor y(r).
-r*(r - 1)*(4*r - 1)/2
Let t be (1/18)/(-49*70/(-92610)). Let 3/2*r - 1/6*r**4 - 1/6*r**3 + t*r**2 + 0 = 0. What is r?
-3, -1, 0, 3
Let c(n) = 2*n**2 + 10*n + 15. Let z = 15 + -22. Let r be c(z). Determine x so that -16*x - 20*x**3 - r - 12*x + 35 - 36*x**2 - 4*x**4 = 0.
-2, -1
Let c(f) be the second derivative of f**7/84 + 3*f**6/10 - f**5/20 - 3*f**4/2 + f**3/12 + 9*f**2/2 + 64*f. Let c(r) = 0. Calculate r.
-18, -1, 1
Let z(h) be the first derivative of -3*h**5/20 + 11*h**4/4 - 39*h**3/2 + 135*h**2/2 + 52*h + 40. Let a(b) be the first derivative of z(b). Factor a(g).
-3*(g - 5)*(g - 3)**2
Let h = -6785 + 33928/5. Let i(q) be the first derivative of -4*q + 7/3*q**3 - 12 - 4*q**2 + 17/4*q**4 - 3/2*q**6 - h*q**5. Suppose i(n) = 0. What is n?
-1, -2/3, 1
Suppose -1939*w = -1935*w + d + 7, 6*w = -3*d - 21. Let 10/3*s**3 - 4/3*s**2 + 0 + w*s + 14/3*s**4 = 0. Calculate s.
-1, 0, 2/7
Let h = 39118/3 + -273778/21. Suppose -h - 72/7*y - 22/7*y**3 + 12*y**2 = 0. What is y?
-2/11, 2
Let p(b) be the third derivative of -33*b**5/10 - 101*b**4/12 - 2*b**3/3 + b**2 - 91. Solve p(j) = 0 for j.
-1, -2/99
Let k(v) be the first derivative of 5/24*v**4 + 0*v**3 + 23/2*v**2 + 20 - 1/12*v**5 + 0*v. Let w(u) be the second derivative of k(u). Factor w(s).
-5*s*(s - 1)
Let i(d) = 4*d**3 + 23*d**2 + 25*d + 9. Let g(m) = 20*m**3 + 114*m**2 + 126*m + 46. Let z be (6/(-8))/((-19)/(-76)). Let y(q) = z*g(q) + 14*i(q). Factor y(x).
-4*(x + 1)**2*(x + 3)
Suppose -4*o + 3*q + 11 = -1, -o - 6 = -3*q. Let g(r) = 2*r**2 - 28*r + 98. Let v be g(o). Factor v*p**4 + 0 + p**2 + 0*p + 1/2*p**5 + 5/2*p**3.
p**2*(p + 1)**2*(p + 2)/2
Let f(y) be the first derivative of y**8/105 - y**7/35 + y**6/360 + y**5/20 + y**4/24 + 52*y**3/3 - 80. Let q(r) be the third derivative of f(r). Factor q(v).
(v - 1)**2*(4*v + 1)**2
Let x(g) = 3*g**2 + 48*g - 198. Let v(f) = 4*f**2 + 48*f - 199. Suppose 4*o + 9*i - 4*i = -28, -2*o + 2*i = 14. Let h(r) = o*x(r) + 6*v(r). Factor h(b).
3*(b - 8)**2
Let h(c) be the first derivative of 5*c**3/3 + 1695*c**2 + 574605*c + 2080. Determine q so that h(q) = 0.
-339
Let x = -46179 - -46182. Factor 0 + 5/8*n**4 + 1/8*n**5 + 0*n + 3/4*n**x + 0*n**2.
n**3*(n + 2)*(n + 3)/8
Let z be 62/12 - 16/96. Let o(d) = d**3 + 35*d**2 + 29*d. Let w(a) = -2*a**3 - 52*a**2 - 43*a. Let v(l) = z*w(l) + 7*o(l). Factor v(y).
-3*y*(y + 1)*(y + 4)
Let s be (2 + (-7)/1)/(3 - 4). Suppose -6*a**s + 32*a + 80*a**2 - 7*a - 44*a**4 + 11*a - 62*a**3 - 4*a = 0. What is a?
-4, -1/3, 0, 1
Let z be -21 - 10*(-20)/800*94. Let 3/2*h + 0 + 1/2*h**3 + 1/2*h**4 - z*h**2 = 0. What is h?
-3, 0, 1
Factor -263/2*b**2 - 1/2*b**3 - 16335/2*b + 127575/2.
-(b - 7)*(b + 135)**2/2
Find d such that 0*d**2 + 0 - 4/9*d**3 + 4*d = 0.
-3, 0, 3
Find m such that 447*m - 3640*m**3 - 2*m**4 - 119*m + 3730*m**3 - 336*m**2 = 0.
0, 2, 41
Let r(v) be the first derivative of v**3 - 9/4*v**4 - 3/5*v**5 + 9/2*v**2 + 0*v + 146. Factor r(b).
-3*b*(b - 1)*(b + 1)*(b + 3)
Let i(b) be the second derivative of -45/2*b**2 + 33/5*b**5 + 0*b**3 - 30*b + 121/40*b**6 + 0 + 9/2*b**4. Let z(d) be the first derivative of i(d). Factor z(s).
3*s*(11*s + 6)**2
Let n = -206 - -209. Suppose -14 = 2*k - 6, 13 = n*i - k. Suppose -6/5*j**i + 2/5 - 2/5*j - 2*j**2 = 0. Calculate j.
-1, 1/3
Let m(q) be the first derivative of q**6/450 + q**5/30 - 4*q**4/5 - q**3/3 - 3*q**2/2 + 38. Let w(r) be the third derivative of m(r). Factor w(p).
4*(p - 3)*(p + 8)/5
Let q = 92035 + -92035. Factor 5/3*p + q + 1/3*p**2.
p*(p + 5)/3
Let h = 612 - 609. Suppose -14*i**2 + h*i**3 + 84*i - 16*i**2 - 7*i**3 + 14*i**2 = 0. Calculate i.
-7, 0, 3
Let w(p) be the first derivative of -p**6/15 - 16*p**5/25 - 2*p**4 - 32*p**3/15 - 5881. Let w(s) = 0. What is s?
-4, -2, 0
Let h(a) be the first derivative of -a**6/30 + 6*a**5/25 + 3*a**4/20 - 4*a**3/3 + 6*a**2/5 + 6360. Suppose h(q) = 0. What is q?
-2, 0, 1, 6
Let b(z) be the third derivative of -25*z**6/144 + 5555*z**5/72 + 2785*z**4/18 + 1115*z**3/9 - 1287*z**2. Find i, given that b(i) = 0.
-2/5, 223
Let l(r) = r**3 + r - 8. Let m(a) = a**3 - 10*a**2 - 5*a - 24. Let d(g) = 6*l(g) - 2*m(g). Factor d(z).
4*z*(z + 1)*(z + 4)
Let d = 615 - 612. Determine v, given that v**d - 5*v**2 - 467 - 4*v - 6*v + 4*v**3 + 467 = 0.
-1, 0, 2
Suppose -2*h + 4*h = -n - 1, -2*n = 10. Suppose m - 3*v - 9 = 0, -2*m - h*m = 2*v - 64. Suppose -2064*b + 2159*b + 30 + m + 10*b**2 = 0. What is b?
-9, -1/2
Let k be 13 + 3/(-2)*(-2268)/(-486). Suppose 6*m**2 + 9/2*m**3 + 0 + 3/2*m**5 - k*m**4 - 6*m = 0. Calculate m.
-1, 0, 1, 2
Suppose -52 + 3/2*i**3 - 87*i - 25/2*i**2 = 0. What is i?
-4, -2/3, 13
Let o(t) be the first derivative of 3/4*t**2 + 1/18*t**3 + 7/3*t - 45. Find r such that o(r) = 0.
-7, -2
Let a(l) be the third derivative of -32/9*l**4 - 1/21*l**7 + 8/3*l**5 - 39*l**2 + 0*l - 1/1008*l**8 + 0*l**3 - 193/360*l**6 + 0. Factor a(f).
-f*(f - 1)**2*(f + 16)**2/3
Let l(p) = p**2 + p + 10. Let c(u) = 261*u**2 - 117*u - 39. Let d(n) = c(n) + 3*l(n). Factor d(f).
3*(2*f - 1)*(44*f + 3)
Let f(n) = -5*n**2 - 12*n + 48. Let g be f(19). Let o = g + 1985. Factor 4/13*l**2 + 0*l + o - 2/13*l**3.
-2*l**2*(l - 2)/13
Suppose -r - 3*o - 39 = 0, -197*o = 2*r - 196*o + 73. Let y be (2/(-8))/(18/r). Factor -1/2*s**3 - 1/4 + y*s + 1/4*s**4 + 0*s**2.
(s - 1)**3*(s + 1)/4
Find x, given that -3/7*x**3 + 0 + 93/7*x - 90/7*x**2 = 0.
-31, 0, 1
Let z(a) = -48*a**2 - 620*a + 54. Let w be z(-13). Determine o so that -w + 7/4*o**3 - 9/2*o**2 + 5*o - 1/4*o**4 = 0.
1, 2
Determine a, given that 40/17*a + 8/17*a**5 - 8/17 + 14/17*a**4 - 28/17*a**3 - 26/17*a**2 = 0.
-2, 1/4, 1
Let o be 3/1*(-11)/(-231). Suppose -7*g = -9*g - 5*s, 4*g - 4*s = -2*s. Factor g*q - o*q**4 - 2/7*q**3 + 0 + 3/7*q**2.
-q**2*(q - 1)*(q + 3)/7
Let m be 68/5 + 4/((-40)/6). Let h be (-559)/(-52) - m - 6/(-2). Factor -3/2*f**2 + 0 - h*f - 3/4*f**3.
-3*f*(f + 1)**2/4
Suppose -4*s - 40 = -16. Let b be ((-15)/42)/(s/24 + -1). Let 4/7 - b*g**2 - 2/7*g = 0. What is g?
-2, 1
Suppose 2*v = y + y + 250, 251 = 2*v - y. Factor 14*n**3 + 16*n**3 - 21*n**3 + v + 96*n**2 + 249*n.
3*(n + 3)*(n + 7)*(3*n + 2)
Let -108 - 3*y**3 - 309*y + 114*y + 27*y**2 + 541 + 2*y**3 - 264 = 0. Calculate y.
1, 13
Determine b, given that -382/9*b**2 + 0*b + 0 - 1/9*b**3 = 0.
-382, 0
Let f = -20656/3 + 6886. Let a(r) be the first derivative of -f*r**3 - 24 - 18*r**2 - 162*r. Solve a(i) = 0.
-9
Let s(q) be the second derivative of q**4/3 - 278*q**3/3 - 1144*q**2 + 4278*q. Factor s(g).
4*(g - 143)*(g + 4)
Find d such that 2/11*d**2 + 266/11*d + 0 = 0.
-133, 0
Let z be (-47)/(42300/(-880))*(-9)/(-6). Factor 8/15 - 2/15*h**3 + 6/5*h**2 - z*h - 2/15*h**4.
-2*(h - 1)**3*(h + 4)/15
Let h be 378/8 + 125/(-20) + 7. Factor o**3 + 3*o**3 - o**3 - h*o**2.
3*o**2*(o - 16)
Let n = -8300 + 8300. Let v(m) be the first derivative of -m**3 + n*m - 30 - 3/4*m**4 + 3/5*m**5 + 3/2*m**2. Factor v(l).
3*l*(l - 1)**2*(l + 1)
Let b = -88712 - -88715. Determine u so that -1/2*u**b + 0 + 0*u + 1/2*u**2 = 0.
0, 1
Let y(u) be the second derivative of 5/6*u**4 - 1/10*u**5 - 2*u**3 - 23*u - 3 + 0*u**2. Determine i, given that y(i) = 0.
0, 2, 3
Suppose -1144*t**2 + 370*t - 1560 - 1074*t**2 + 2223*t**2 = 0. Calculate t.
-78, 4
Let n(g) be the second derivative of g**6/120 + 9*g**5/20 + 9*g**4 + 90*g**3 + 486*g**2 - 3121*g. Factor n(z).
(z + 6)**3*(z + 18)/4
Let s(c) be the first derivative of -2*c**3/33 + 210*c**2/11 - 3