- 18*o**2 + 94*o - 18. Let b(m) = 5*a(m) - 6*c(m). Factor b(s).
4*(s - 2)*(s + 3)*(4*s - 1)
Let l(y) = -y**3 - 16*y**2 - 26*y + 30. Let w be l(-14). Let m(i) = -i**2 - 8*i + 9. Let k(p) = -4*p + 4. Let d(t) = w*m(t) - 5*k(t). Let d(h) = 0. Calculate h.
1
Suppose j - 5*i - 9 = 0, 5*j - 2*i + 7 + 17 = 0. Let y be 0/(3/j*2). Factor -2*g**3 + 8*g**3 - g**2 + 3*g**4 + 4*g**2 + y*g**2.
3*g**2*(g + 1)**2
Let x(z) be the third derivative of -z**8/336 - 4*z**7/105 + 7*z**6/120 + 43*z**5/30 - 13*z**4/2 + 12*z**3 + 2*z**2 - 30. Factor x(s).
-(s - 2)*(s - 1)**2*(s + 6)**2
Let n = 84 - 83. Let j be n/2 + 6/(-24). Let -3/4*l + 3/4*l**2 + j - 1/4*l**3 = 0. Calculate l.
1
Let l = -96 + 98. Let q(k) = k**5 - k**4 + k - 1. Let s(d) = -3*d**4 - d**3 + 4*d**2 - d + 1. Let i(m) = l*q(m) + 2*s(m). Factor i(b).
2*b**2*(b - 4)*(b - 1)*(b + 1)
Let o = 31 - 158. Let b = o + 131. Factor -4/5 - 5*x**2 + b*x.
-(5*x - 2)**2/5
Let u(c) be the third derivative of -c**6/540 + c**5/180 + 11*c**3/6 - 16*c**2. Let m(d) be the first derivative of u(d). Solve m(h) = 0 for h.
0, 1
Suppose 0 - 2/7*o**3 + 2/7*o**2 + 4/7*o = 0. What is o?
-1, 0, 2
Let m = 1674/2761 - -76/251. Factor 0*s - 2/11*s**4 - 6/11*s**2 - m*s**3 + 0 + 2/11*s**5.
2*s**2*(s - 3)*(s + 1)**2/11
Suppose -m + w + 7 = 0, -5*m + 5*w = -10*m - 15. Suppose m*s + 3*s = 0. Factor 0 + 2/13*z**2 - 2/13*z**4 + s*z + 0*z**3.
-2*z**2*(z - 1)*(z + 1)/13
Let v(m) = 4*m - 40. Let y be v(11). Suppose 61*t - y = 60*t. Solve -16/3 - 10/3*s**3 + 4*s**2 + 8/3*s + 2/3*s**t = 0 for s.
-1, 2
Let p = 68 - 66. Find h, given that 38 + 1566*h**2 - 146 - 1569*h**p + 36*h = 0.
6
Let h = 1 - -3. Suppose -5*r + 5*w = -30, h*r - 3*w = 27 - 6. Suppose 12*t**3 + r*t**2 - 12*t + 0*t + 0*t - 3 = 0. What is t?
-1, -1/4, 1
Let j(k) be the second derivative of 0 + 34*k - 6*k**2 + 2*k**3 - 1/4*k**4. Factor j(p).
-3*(p - 2)**2
Let b(x) be the first derivative of 6*x**6 - 24*x**5/5 - 23*x**4 + 32*x**3/3 + 32*x**2 + 70. Factor b(p).
4*p*(p + 1)**2*(3*p - 4)**2
Factor -257*t - 18 + 8*t**2 - t**3 + 0*t**3 - 268*t + 536*t.
-(t - 9)*(t - 1)*(t + 2)
Let q(u) be the second derivative of 0 - 3/2*u**2 + 5*u - 2/3*u**3 - 1/12*u**4. Factor q(s).
-(s + 1)*(s + 3)
Let l(p) be the first derivative of 3/5*p**3 + 0*p + 3/20*p**4 + 3/5*p**2 - 1. Determine o so that l(o) = 0.
-2, -1, 0
Let o(v) = v**3 + 7*v**2 - 10*v - 12. Let t be o(-8). Factor -2*y + 3*y**2 - 11*y**4 - 19*y**t + 29*y**4.
-y*(y - 1)**2*(y + 2)
Suppose 5*j - 160 = -5*x, -j + 37 = -2*x + 101. Factor 8*b**5 + 2*b**3 - 16*b + 2*b**3 - 8*b**5 + x + 4*b**5 - 40*b**2 + 16*b**4.
4*(b - 1)**2*(b + 2)**3
Factor 6241/3 + 1/3*b**2 - 158/3*b.
(b - 79)**2/3
Suppose 0*b = -9*b + 4*b. Suppose 6*w = w - b*w. Solve -2/11*m**2 + 2/11 + w*m = 0.
-1, 1
Suppose 26 = 4*a - 2*c, 4*a - 7 = 5*a + 4*c. Find y, given that 16*y**3 + 52*y**4 - 6*y + 20*y**a - y - 16*y**2 + 7*y = 0.
-2, -1, 0, 2/5
Factor -6 - 2 + 146*a**3 + 56*a + 74*a**4 + 174*a**2 + 14*a**5 - 40*a**2 + 16.
2*(a + 1)**3*(a + 2)*(7*a + 2)
Let n(q) = -5*q**3 + 5*q**2 + 4*q - 6. Let b(k) = -k**3 - k**2 - k - 1. Let u(g) = 6*b(g) - n(g). Factor u(h).
-h*(h + 1)*(h + 10)
Let d(o) be the second derivative of 13/15*o**3 + 21*o + 1/21*o**7 - 2/5*o**2 + 0 + 19/25*o**5 - 22/75*o**6 - 16/15*o**4. Solve d(w) = 0.
2/5, 1
Let f(x) = 10*x**3 - 280*x**2 + 3645*x + 3915. Let k(n) = 11*n**3 - 281*n**2 + 3646*n + 3914. Let v(h) = 6*f(h) - 5*k(h). Solve v(w) = 0 for w.
-1, 28
Let a(n) be the third derivative of 0*n + 0 - 3/130*n**5 + 3*n**2 - 7/156*n**4 - 1/156*n**6 - 2/39*n**3 - 1/1365*n**7. Solve a(d) = 0.
-2, -1
Factor 703*g**2 - 236*g**2 - 239*g**2 - 111*g - 231*g**2.
-3*g*(g + 37)
Let m be (-6)/(-2) - (9 - 6). Suppose m = 7*s - s. Suppose 0*f**3 + f**5 + f**5 - 2*f**3 + 3*f**4 + s*f**5 = 0. Calculate f.
-2, 0, 1/2
Let z be ((-4)/(-14))/(6/42). Suppose -5*q + 3*l = -q - 14, -z*q + 4*l = -2. Factor o**2 + q*o**2 + o - 2*o.
o*(6*o - 1)
Let o be (-10)/45 - (-6 - (-50)/18). Factor -1/5*x**o + 3/5*x**2 + 0 + 0*x.
-x**2*(x - 3)/5
Let c(o) be the first derivative of o**5 + 15*o**4/4 - 5*o**3/3 - 15*o**2/2 - 120. Factor c(l).
5*l*(l - 1)*(l + 1)*(l + 3)
Let g(n) be the first derivative of 26/15*n**3 + 12/5*n**2 + 3/5*n**4 + 2/25*n**5 - 17 + 8/5*n. Factor g(a).
2*(a + 1)**2*(a + 2)**2/5
Let j be 45/(-30) + 1/(50/435). Suppose -j - 1/5*x**2 - 12/5*x = 0. Calculate x.
-6
Let f be ((-6)/(-24))/(12/24). Factor 1/6*g**3 + 1/3 + 0*g**2 - f*g.
(g - 1)**2*(g + 2)/6
Let s(g) be the second derivative of -g**4/18 - g**3/3 - 7*g - 10. Factor s(l).
-2*l*(l + 3)/3
Let z(w) = -w**2 - 8*w - 9. Let d be z(-6). Let i(b) be the second derivative of b**2 + 0 - 1/18*b**4 + 2/9*b**d - 2*b. Factor i(k).
-2*(k - 3)*(k + 1)/3
Let n(c) be the first derivative of c**5/140 - 27*c**2/2 - 8. Let u(b) be the second derivative of n(b). Suppose u(k) = 0. Calculate k.
0
Let c(t) be the first derivative of t**4/8 + 19*t**3/24 - 61*t**2/16 + 7*t/4 + 375. Find q such that c(q) = 0.
-7, 1/4, 2
Suppose 0 = 3*a - 4*a + 4*j + 37, -3*a = 3*j - 186. Let p = a - 55. Factor 0*v + 0 + 3/5*v**5 + 2/5*v**p + 8/5*v**4 + 7/5*v**3.
v**2*(v + 1)**2*(3*v + 2)/5
Suppose 6/5*j**2 + 0*j + 0 + 8/5*j**5 + 34/5*j**4 + 32/5*j**3 = 0. What is j?
-3, -1, -1/4, 0
Let u(x) = 7*x**2 - 24*x + 44. Let m(k) = -6*k**2 + 24*k - 45. Let v = 6 + -4. Suppose 0*d = v*d + 8. Let q(w) = d*m(w) - 3*u(w). Factor q(a).
3*(a - 4)**2
Find o, given that -390*o - 288*o**2 + 225 - 306/5*o**3 - 21/5*o**4 = 0.
-5, 3/7
Let a(p) be the third derivative of p**8/84 + 4*p**7/105 - p**6/10 - 4*p**5/15 + 2*p**4/3 - 18*p**2 + 2. Factor a(z).
4*z*(z - 1)**2*(z + 2)**2
Let x be (-1)/5 - 330/(-25). What is y in 6*y**5 + y**5 + 20*y**4 + x*y**3 + 2*y**2 + 2*y**5 = 0?
-1, -2/9, 0
Factor -32/9*p + 2/9*p**2 + 128/9.
2*(p - 8)**2/9
Let w(q) be the third derivative of q**7/1260 - q**6/45 + 13*q**5/60 - 7*q**4/9 + 49*q**3/36 + q**2 - q. Factor w(y).
(y - 7)**2*(y - 1)**2/6
Suppose 40*a - 35*a = 20. Factor 0 - 1/2*m**2 + 7/2*m**a + 2*m**5 + m**3 + 0*m.
m**2*(m + 1)**2*(4*m - 1)/2
Suppose 112 = 3*v + 94. Let t(d) be the third derivative of 0 - 1/210*d**v + 0*d**4 - 1/735*d**7 - 3*d**2 + 1/70*d**5 + 0*d**3 + 0*d. Find r such that t(r) = 0.
-3, 0, 1
Let b(d) be the third derivative of 0 + 0*d + 6*d**3 + 5/3*d**4 + 1/15*d**5 + 19*d**2. Factor b(x).
4*(x + 1)*(x + 9)
Let f(q) = q**2 - 11*q + 20. Let t be f(9). Find m, given that -42*m**2 + m**5 + 0*m**5 - 3*m**4 + 42*m**t = 0.
0, 3
Let a(n) be the first derivative of n**7/1260 + n**6/1080 - 4*n**3/3 - 25. Let q(v) be the third derivative of a(v). Factor q(c).
c**2*(2*c + 1)/3
Let w(l) = 4*l**3 - 16*l**2 + 56*l - 32. Let j(n) = 3*n**3 - 17*n**2 + 55*n - 31. Let b(s) = -6*j(s) + 5*w(s). Find u such that b(u) = 0.
-13, 1
Factor -5*l**2 - 4*l**2 + 544 - 264*l + 3*l**2 + 5*l**2 - 3*l**2.
-4*(l - 2)*(l + 68)
Suppose 0 = -5*v + b + 4, -15*v = -18*v + b. Suppose -9/4 - 3/4*k + 3/4*k**3 + 9/4*k**v = 0. Calculate k.
-3, -1, 1
Let n(u) = -u - 1. Let a be n(-4). Suppose g - 9 = -2*x, 0 = a*x + 6*g - 2*g - 21. Find v, given that 3/2 + 3/2*v**2 - x*v = 0.
1
Let h(t) be the second derivative of t**7/2520 - t**6/180 + t**5/30 + t**4/2 + 16*t. Let a(k) be the third derivative of h(k). Factor a(o).
(o - 2)**2
Let n be (9/(-12))/((-39)/104). Let r(d) be the third derivative of 0 - 1/105*d**7 + 0*d - 1/10*d**6 - 4/15*d**5 + 1/2*d**4 + 3*d**3 + n*d**2. Factor r(z).
-2*(z - 1)*(z + 1)*(z + 3)**2
Let o be (-144)/(-78) + (-10)/(-65). Let m(j) be the first derivative of 0*j**o + 3/5*j**5 + j**3 - 3/2*j**4 - 7 + 0*j. Factor m(t).
3*t**2*(t - 1)**2
Let w(o) = -9*o**2 + 4*o - 14. Let d be w(5). Let h = d + 2415/11. Find f such that h*f**2 + 4/11*f - 2/11 = 0.
-1, 1/3
Suppose -2*h = -3*p + 7, 0*h + 5*h = -3*p + 35. Let z(o) be the first derivative of -1/11*o**h - 7 + 2/11*o + 10/33*o**3 - 4/11*o**2. What is c in z(c) = 0?
1/2, 1
Let r(d) be the third derivative of d**5/30 - 17*d**4/12 - 38*d**3/3 + 456*d**2. Factor r(g).
2*(g - 19)*(g + 2)
Let g be (((-4)/(-3))/(-2))/(12/18). Let j be g/(-3)*6/5. Factor -2/5*z**2 + j*z**4 + 2/5*z - 2/5*z**3 + 0.
2*z*(z - 1)**2*(z + 1)/5
Solve -722/11 - 2/11*j**2 - 76/11*j = 0 for j.
-19
Let t(u) be the second derivative of -u**6/10 - 33*u**5/10 - 15*u**4 - 29*u**3 - 57*u**2/2 + 45*u. Factor t(n).
-3*(n + 1)**3*(n + 19)
Let g(o) = -o**3 + o + 