/70. Factor 16*b**2 + 6*b**m - 4*b - 3*b**3 + 2*b**4 - 17*b**3.
4*b*(b - 1)**2*(2*b - 1)
Let c be (-330)/(-100) + 36/(-120). Factor -1/5*n**4 - 6/5*n**c + 0 + 0*n + 0*n**2 + 1/5*n**5.
n**3*(n - 3)*(n + 2)/5
Suppose 4*g**5 - g**5 + 225*g - 12*g**3 - 24*g**3 + 210*g**2 - 17*g**4 + 8*g**4 - 9*g**4 = 0. Calculate g.
-3, -1, 0, 5
Let o = -108 + 865/8. Let t(u) be the first derivative of -1/4*u**2 - o*u**4 + 0*u - 2 - 1/3*u**3. Factor t(k).
-k*(k + 1)**2/2
Let s be (19 + 663/(-34))*6/(-1). Solve 0 + 1/2*f**2 + 0*f - 1/2*f**4 + 0*f**s = 0 for f.
-1, 0, 1
Suppose 55*r + 19*r = 0. Factor 1/3*p + r + p**2.
p*(3*p + 1)/3
Let k(c) be the first derivative of c**4/18 + c**3/27 - c**2/18 - 20. Let k(g) = 0. Calculate g.
-1, 0, 1/2
Let m = 31 + -103. Let c be ((-9)/m)/(1/6). Suppose -c - 3/4*u**2 - 3/2*u = 0. What is u?
-1
Let d(t) be the third derivative of t**7/70 + 13*t**6/40 + 27*t**5/10 + 23*t**4/2 + 28*t**3 + 727*t**2. Let d(i) = 0. What is i?
-7, -2
Find g such that -6/7*g**2 + 2/7*g**3 - 32/7*g + 96/7 = 0.
-4, 3, 4
Let y(l) be the third derivative of 8*l**2 + 0*l**3 + 1/60*l**5 - 1/480*l**6 + 0 - 1/24*l**4 + 0*l. Find g, given that y(g) = 0.
0, 2
Let h be (-4)/6 - 10/(-6). Suppose h = 3*m - 5. Factor 4*p**3 + 0*p**3 + 6*p**4 - m*p**3 - 5*p**3 - 3*p**5.
-3*p**3*(p - 1)**2
Let w(d) be the first derivative of d**7/630 + d**6/360 - d**5/36 + d**4/24 + 3*d**2 - 13. Let a(m) be the second derivative of w(m). Let a(s) = 0. What is s?
-3, 0, 1
Let k = 169/230 + 3/46. Let s(r) be the third derivative of -2/3*r**4 + 0*r + r**2 + 0*r**3 - 11/30*r**6 + 0 - k*r**5 - 2/35*r**7. Solve s(t) = 0.
-2, -1, -2/3, 0
Let w(q) = -q**2 + 13*q - 8. Let u be -6*(-4)/(-16)*-8. Let k be w(u). Determine a, given that 8*a**2 - 4*a**k - 8*a**3 + 4*a**3 - 2*a**2 - 2*a**4 + 4*a = 0.
-1, -2/3, 0, 1
Let q(y) = 104*y**2 + y - 1. Let j be q(-1). Suppose 105 = 2*b + 3*l - 0*l, -b - 5*l = -56. Let 8*g**3 - 51*g + j*g - b*g - 4*g**4 = 0. What is g?
0, 2
Let x(y) = 14*y**2 + y**4 + 3 + 7 + 0 - 6*y**3 - 7*y**4 + 22*y. Let p(l) = l**4 + l**3 - l**2 - l - 1. Let q(c) = 2*p(c) + x(c). Determine i so that q(i) = 0.
-1, 2
Let j(q) = q**2 - 1. Suppose 3*p - 12 = 7*p. Let g(o) = -3*o**2 + o - 1. Let s(n) = p*j(n) + 3*g(n). Solve s(u) = 0 for u.
0, 1/4
Let d(v) be the second derivative of v**7/126 - v**6/90 - v**5/60 + v**4/36 - 65*v - 2. Factor d(o).
o**2*(o - 1)**2*(o + 1)/3
Let r be (1/((-7)/(-14)) + -5)/(-6). Let x(l) be the third derivative of 4/3*l**3 + 13*l**2 + r*l**4 + 0*l + 0 + 1/15*l**5. Factor x(g).
4*(g + 1)*(g + 2)
Let q(l) be the second derivative of 0*l**3 - 4*l**2 + 0 - 3*l + 0*l**4 - 1/600*l**6 + 1/75*l**5. Let f(b) be the first derivative of q(b). Factor f(a).
-a**2*(a - 4)/5
Let c be 12/(-54904)*4/3. Let i = 343124/89219 - c. Factor -i*h**3 - 56/13*h - 2/13*h**5 - 76/13*h**2 - 16/13 - 16/13*h**4.
-2*(h + 1)**2*(h + 2)**3/13
Let c(l) = l**2 - l - 2. Let t(z) = -z + 1. Let b = -111 - -112. Let i(p) = b*c(p) + 2*t(p). Factor i(q).
q*(q - 3)
Suppose -13 = -5*p + 2*u + 6, 2*p = -3*u. Let n(k) be the first derivative of 1/4*k**2 + 0*k**p - 1/8*k**4 - 2 + 0*k. Determine s so that n(s) = 0.
-1, 0, 1
Factor -8*g**3 + 0*g + 2/5*g**4 + 0 + 38/5*g**2.
2*g**2*(g - 19)*(g - 1)/5
Let v(j) be the first derivative of -j**4/4 - 2*j**3/3 + 4*j**2 - 80. Factor v(m).
-m*(m - 2)*(m + 4)
Let z(t) = t**2 + 1. Let y be z(-1). Let n = 307/62 - 45/31. Determine g, given that y*g + g**3 - 2 + n*g**2 = 0.
-2, 1/2
Solve 6*t**2 - 34*t - 11*t**2 + 31*t + 2*t**2 - 75*t = 0 for t.
-26, 0
Let h(q) be the third derivative of 0*q + 1/20*q**5 - q**2 - 1/120*q**6 + 0 + 0*q**3 - 1/12*q**4. Suppose h(m) = 0. What is m?
0, 1, 2
Let b be 429*27/15 + (-2)/10. Let y = b + -3848/5. Determine n so that 2/5*n**2 - y*n + 18/5 = 0.
3
Let q = 50 + -47. Suppose 10 = -q*g + 19. Find f such that 1/2*f**g + 0 + 0*f + f**2 = 0.
-2, 0
Factor 2*s**3 - 134*s**2 - 36*s - 143*s**2 - 10*s**4 - 2*s**5 + 319*s**2 + 4*s**5.
2*s*(s - 3)**2*(s - 1)*(s + 2)
Suppose 27*w = 22*w + 15. Let k(u) be the first derivative of 10/21*u**w + 2/7*u**2 + 8 + 3/14*u**4 + 0*u - 2/35*u**5 - 1/21*u**6. Find d, given that k(d) = 0.
-1, 0, 2
What is o in -4*o**2 - 3*o**4 - 24*o**3 - 2*o + 4*o**2 - 12*o**2 - o**2 - 6*o**4 = 0?
-2, -1/3, 0
Let h(i) be the third derivative of 0*i**3 + 12*i**2 + 0*i + 0 + 1/21*i**4 + 1/210*i**5. Factor h(p).
2*p*(p + 4)/7
Let o(k) be the third derivative of 5*k**8/48 - 13*k**7/70 - 7*k**6/6 + 8*k**5/3 - 8*k**3/3 + 140*k**2. Find a, given that o(a) = 0.
-2, -2/7, 2/5, 1, 2
Let q(p) = 8*p**5 + 8*p**4 - 8*p**2 + 4*p + 4. Let w(s) = -7*s**5 - 7*s**4 + s**3 + 7*s**2 - 3*s - 3. Let i(f) = 3*q(f) + 4*w(f). Factor i(b).
-4*b**2*(b - 1)*(b + 1)**2
Suppose 2 + 106 = 27*b. Factor -1/4*a**b + 3/4*a**2 - 1/2*a + 0*a**3 + 0.
-a*(a - 1)**2*(a + 2)/4
Find z, given that -191/2*z**3 + 390*z + 61/2*z**2 + 27/2*z**4 - 338 - 1/2*z**5 = 0.
-2, 1, 2, 13
Let q be (-1)/6*(-50)/25. Let m(i) be the first derivative of -1/10*i**2 + q*i**3 + 2 + 0*i - 1/5*i**4. Factor m(z).
-z*(z - 1)*(4*z - 1)/5
Let q(l) = -2*l - 3. Let i be q(-4). Suppose 0*c = -4*c + 5*j + 5, 5*c - 3*j - 16 = 0. Factor -2*x - 2*x**3 + 2*x**i + 3*x**c - 4*x**5 + 3*x.
x*(x - 1)**2*(x + 1)**2
Factor 1/3*i + 1/6*i**5 - 1/2*i**3 + 0 + 1/6*i**2 - 1/6*i**4.
i*(i - 2)*(i - 1)*(i + 1)**2/6
Let t = 23 - 12. Factor -2*g**5 + 4*g**4 + 0*g + 2*g + 7*g**2 - t*g**2.
-2*g*(g - 1)**3*(g + 1)
Let q(a) be the first derivative of 1/15*a**6 + 4/5*a - 4/15*a**3 + 3/5*a**2 - 15 - 2/5*a**4 + 0*a**5. Factor q(f).
2*(f - 2)*(f - 1)*(f + 1)**3/5
Suppose 4*j + 180 = 4*z, 0 = 8*z - 3*z + 4*j - 189. Let v = z - 119/3. Find b such that 2/3*b**2 + v + 2*b = 0.
-2, -1
Let j be (-12)/108 - (0 + (-38)/18). Determine o, given that 2/5*o**j + 0 + 6/5*o = 0.
-3, 0
Let u(h) be the first derivative of h**5/40 + 11*h**4/24 + 7*h**3/12 - 9*h**2/2 - 30. Let g(k) be the second derivative of u(k). Factor g(n).
(n + 7)*(3*n + 1)/2
Suppose -44/5*f + 2/5*f**2 + 0 = 0. What is f?
0, 22
Let a(k) = -k**3 - 46*k**2 - 153*k + 633. Let u be a(-42). Find o, given that -3/10*o + 0*o**2 + 1/5 + 1/10*o**u = 0.
-2, 1
Let r be (-14)/4 - (-8 + 3). Factor 0 + 0*g**2 + r*g**5 - 3*g**4 + 3/2*g**3 + 0*g.
3*g**3*(g - 1)**2/2
Let r be 14/4 - 9/6. Factor g**5 + 3*g**5 - g**2 - 2*g**3 - r*g**3 + g**4.
g**2*(g - 1)*(g + 1)*(4*g + 1)
Let h be (-12)/10 - ((-9)/3 - -1). Let r be (1/((-25)/6))/((-114)/380). Find g such that -8/5*g**2 + r + 4/5*g - 8/5*g**3 + h*g**4 + 4/5*g**5 = 0.
-1, 1
Let w be 4/2 + (-30)/27. Let k = -51448 + 51450. Find r, given that 8/9 + 2/9*r**k - w*r = 0.
2
Factor 0 - 2*d**2 + 0*d + 17/2*d**3 - 2*d**4.
-d**2*(d - 4)*(4*d - 1)/2
Let v = -424 + 428. Let b(q) be the first derivative of -6*q**3 + 15/4*q**v - 9/10*q**5 - 1 + 9/2*q**2 - 3/2*q. Factor b(k).
-3*(k - 1)**3*(3*k - 1)/2
Let u(t) be the second derivative of 0 + 1/21*t**4 + 10*t + 6/7*t**2 - 8/21*t**3. Factor u(p).
4*(p - 3)*(p - 1)/7
Let c = 40 + -12. Suppose o = 3*x + 2*x - 16, -4*o - 3*x = -c. Find a, given that -8*a**2 - 2*a**o + 11*a**2 - a**2 + 2*a**3 - 2*a = 0.
-1, 0, 1
Let r(a) = a**2 + 15*a + 52. Let l be r(-9). Let v be ((8 - 7) + -1)/(0 + l). Factor -3/2*m**3 + 1/3*m + v - 1/6*m**2 + 13/6*m**4 - 5/6*m**5.
-m*(m - 1)**3*(5*m + 2)/6
Suppose 3*x - m = -3*m - 3, x - 4*m = -15. Let l be 1 - ((4 + x)*-3 - -4). Factor 1/2*s**2 + 3/4*s**3 + 1/4*s**4 + 0 + l*s.
s**2*(s + 1)*(s + 2)/4
Let v(z) = -z**2 + z. Let l(i) = -22*i**2 + 42*i - 8. Let n(t) = -l(t) + 6*v(t). Let n(j) = 0. Calculate j.
1/4, 2
Let k(h) = 4*h**2 - 100*h + 116. Let b(j) = 6*j**2 - 100*j + 119. Let a(r) = 4*b(r) - 5*k(r). Determine d so that a(d) = 0.
-26, 1
Let g be (-14)/77 + (-1364)/(-2178). Solve -28/9*h - g - 49/9*h**2 = 0.
-2/7
Suppose a + 12 = 7*a. Factor -30*b**2 - 24*b**a - 22*b**2 + 24*b + 80*b**2.
4*b*(b + 6)
Let j(v) be the second derivative of -v**6/300 - v**5/200 + 7*v**4/120 + 13*v**3/60 + 3*v**2/10 - 86*v. Solve j(c) = 0.
-2, -1, 3
Let b = 357 - 355. Let r(u) be the third derivative of 1/36*u**5 + 0*u - 5*u**b + 2/9*u**3 + 0 + 1/9*u**4 + 1/360*u**6. Determine k, given that r(k) = 0.
-2, -1
Let a(q) be the third derivative of 3*q**7/70 + 49*q**6/40 + 52*q**5/5 + 8*q**4 + 63*q**2. Let a(o) = 0. Calculate o.
-8, -1/3, 0
Let b = -109 - -331/3. Let w(k) be the first derivative of 0*k**2 - 7/3*k**6 + 2 + 7/