*2 + b. Let f(w) = p*a(w) - 2*x(w). Factor f(z).
-2*z**2*(z - 3)
Let t(v) = -11*v**4 + 14*v**3 + 41*v**2 - 52*v + 20. Let s(x) = -45*x**4 + 55*x**3 + 165*x**2 - 210*x + 80. Let a(f) = -4*s(f) + 15*t(f). Factor a(k).
5*(k - 1)**2*(k + 2)*(3*k - 2)
Suppose n + d = 0, d + 1 = -2*n - 0*d. Let v be ((-12)/(-9))/(n/(-2)). Factor 2/3 + v*g**2 + 10/3*g.
2*(g + 1)*(4*g + 1)/3
Suppose 0 = k - z, 2*z + 6 = 5*k - z. Let -8*x + 2 + x**2 - x**k + 4 - 3 + 13*x = 0. What is x?
-1, 3
Let a = 2171/70 - 31. Let s(l) be the third derivative of 0*l**3 + 1/420*l**6 + 0*l + 7*l**2 + a*l**5 + 0 + 1/42*l**4. Solve s(u) = 0.
-2, -1, 0
Let l(u) = -13*u + 2 - 19*u + 25*u + u**2. Let m be l(7). Factor -2*f**m - f + 38 - 38 - f**2.
-f*(3*f + 1)
Let v(o) be the second derivative of o**2 - 1/3*o**3 + 0 - 1/8*o**4 + 8*o. Factor v(k).
-(k + 2)*(3*k - 2)/2
Let l = 3789 + -3789. Factor 2/3*w**2 + 0*w + l.
2*w**2/3
Let m = -145 - -72. Let b = -69 - m. Factor 1/5*o**3 + 0 + 1/5*o**2 - 1/5*o - 1/5*o**b.
-o*(o - 1)**2*(o + 1)/5
Let w(h) = -h**3 - 5*h**2 + 5*h - 4. Let b be w(-6). Factor -3*k**3 - k**5 + 497*k**b + 4*k + 0*k**5 + 5*k**4 - 502*k**2.
-k*(k - 4)*(k - 1)**2*(k + 1)
Suppose 0 = 3*l - 5*l + 82. Let z be l/3 - 1/3. Suppose z*r**2 + 14*r**3 - 40/3*r**4 + 0 - 50/3*r**5 + 8/3*r = 0. Calculate r.
-1, -2/5, 0, 1
Let g(v) be the third derivative of 0 + 1/2*v**5 + 0*v - 2/15*v**6 - 16/3*v**3 + 1/105*v**7 - 23*v**2 + 2/3*v**4. Find c such that g(c) = 0.
-1, 1, 4
Let v(u) = u**2 + 2*u - 33. Let w be v(-7). Suppose 0 = j - 3*r + 13, -5*j + 3*r = -w*j + 9. Find t, given that 0 + 0*t - 2/9*t**j = 0.
0
Let i(t) = -t**3 - 4*t**2 - 4*t. Let q be i(-3). Let s = 0 + q. Factor -8*r**3 + 9*r**4 - r**4 + 2*r**s + 13*r**4.
3*r**3*(7*r - 2)
Let f(o) be the second derivative of 2*o**6/15 - 2*o**5 + 11*o**4 - 80*o**3/3 + 32*o**2 + 5*o - 6. Factor f(v).
4*(v - 4)**2*(v - 1)**2
Suppose 0 = -2*s - 0*s + 3*c - 215, -4*s = 3*c + 403. Let b = s + 103. Factor -2/5*v**3 - 2/5*v + 4/5*v**2 + b.
-2*v*(v - 1)**2/5
Factor 5*v - 18*v**2 - v**2 + 24*v**2.
5*v*(v + 1)
Let y(r) = -r**2 - r. Let u(q) = 2*q**4 + 46*q**3 + 214*q**2 + 314*q + 144. Let n(g) = -2*u(g) - 36*y(g). Factor n(d).
-4*(d + 1)*(d + 2)**2*(d + 18)
Let p = -22 + 30. Factor 10*h**2 - p*h**2 - 2*h - 3*h**2.
-h*(h + 2)
Let o(m) = 20*m + 122. Let i be o(-5). Let f be (i/110)/((-2)/(-6)). Determine p so that 0 + f*p**2 - 6/5*p = 0.
0, 2
Let f(a) be the third derivative of -a**5/80 - 11*a**4/32 - 5*a**3/4 - 7*a**2. Suppose f(q) = 0. What is q?
-10, -1
Let m(j) be the third derivative of -18*j**2 - 9/2*j**3 - 1/20*j**5 + 0 + 0*j - 3/4*j**4. Factor m(i).
-3*(i + 3)**2
Suppose -2*w + 0*w + 10 = 0. Suppose -k - 3*g = -8, k + g + 1 = w. Determine f so that 3*f**2 - f - 4*f**k - f + 0*f**2 = 0.
-2, 0
Let p(j) = 2*j**2 - 153*j - 312. Let b be p(-2). Factor 0*z**b + 2/5*z**4 - 4/5*z**3 + 0*z + 0.
2*z**3*(z - 2)/5
Factor 1144433205 + 37217340*m + 350248*m**2 + 818*m**3 + 4*m**4 + 1642*m**3 + 2418*m**2 + 101204*m**2 + m**4.
5*(m + 123)**4
Let t(w) be the second derivative of w**7/231 + 4*w**6/165 + 3*w**5/110 - 2*w**4/33 - 4*w**3/33 - 69*w. Let t(r) = 0. Calculate r.
-2, -1, 0, 1
Let f(c) be the first derivative of c**4/34 - 8*c**3/51 - 28*c**2/17 - 64*c/17 - 506. Factor f(r).
2*(r - 8)*(r + 2)**2/17
Let c(s) be the first derivative of -33*s**5/5 - 12*s**4 + 23*s**3 + 24*s**2 - 36*s + 116. Let c(l) = 0. Calculate l.
-2, -1, 6/11, 1
Let j be 1*(8 - (4 + -3)). Suppose -j = 2*q - 3*q. Factor -8 + q*p**2 - 3*p**2 - 2*p**2.
2*(p - 2)*(p + 2)
Let q(d) be the second derivative of -3*d**5/20 - 4*d**4/9 - 5*d**3/18 + d**2/3 + 123*d. Factor q(h).
-(h + 1)**2*(9*h - 2)/3
Let v = 553/44 - 3/44. Let j = v - 12. Suppose 0 + 0*l + j*l**2 = 0. What is l?
0
Let b(k) be the third derivative of -k**7/1260 - k**6/180 - k**5/60 + k**4/8 - 12*k**2. Let d(f) be the second derivative of b(f). What is t in d(t) = 0?
-1
Suppose 0 = -8*a - 268*a + 552. Factor 2/3*h**3 + 0*h**a - 2/3*h + 0.
2*h*(h - 1)*(h + 1)/3
Let v(u) be the first derivative of u**6/72 - 4*u**3/3 + 12. Let z(t) be the third derivative of v(t). Factor z(c).
5*c**2
Solve -1/6*r**3 - 2*r**2 + 0 + 0*r = 0 for r.
-12, 0
Let o(h) = -2*h**4 - h**3 - h**2 - h. Let i(k) = k**4 + 13*k**3 + k**2 + k. Let x(n) = 2*i(n) + 2*o(n). Solve x(q) = 0 for q.
0, 12
Let g(p) be the third derivative of 8*p**7/525 + 19*p**6/300 + p**5/25 - p**2 + 127. Factor g(b).
2*b**2*(b + 2)*(8*b + 3)/5
Suppose -2*o + 2107 + 900 = z, 0 = 5*o - 4*z - 7498. Factor 18*a + 1497*a**2 - o*a**2 + 22*a.
-5*a*(a - 8)
Let f(z) be the third derivative of z**8/560 - 5*z**3/3 + 16*z**2. Let t(i) be the first derivative of f(i). Factor t(l).
3*l**4
Let z(w) = 5*w**4 - 8*w**3 - 66*w**2 - 156*w + 221. Let o(n) = 4*n**4 - 6*n**3 - 66*n**2 - 157*n + 222. Let c(i) = -4*o(i) + 3*z(i). Let c(d) = 0. What is d?
-5, 1, 9
Let o(v) be the second derivative of 289*v**4/30 - 68*v**3/3 + 20*v**2 + 747*v. Solve o(p) = 0 for p.
10/17
Let c = 1151 - 2301/2. Factor 3/4*m**2 - c*m - 1/4*m**3 + 0.
-m*(m - 2)*(m - 1)/4
Let b(w) be the third derivative of -w**10/302400 + w**8/40320 + 13*w**5/30 + 42*w**2. Let t(h) be the third derivative of b(h). Solve t(q) = 0 for q.
-1, 0, 1
Let s = -3754 + 3756. What is t in 0 - 6/7*t**3 + 0*t + 3/7*t**s = 0?
0, 1/2
Let i(r) be the second derivative of -r**6/45 - 7*r**5/30 - 7*r**4/9 - 8*r**3/9 + 5*r + 10. Factor i(b).
-2*b*(b + 1)*(b + 2)*(b + 4)/3
Let 0 - 4/7*g**3 + 12*g**2 + 4/7*g**5 + 0*g - 12*g**4 = 0. What is g?
-1, 0, 1, 21
Let j(r) = -r**2 - 16*r. Let f(t) = 5*t**2 + 95*t. Let x(s) = 2*s**3 - s**2 + s + 6. Let c be x(0). Let b(i) = c*f(i) + 35*j(i). Factor b(y).
-5*y*(y - 2)
Find i such that 313*i + 145*i + 268*i - 131*i - 20961*i**2 + 75076*i**3 - 31*i - 4 = 0.
2/137, 1/4
Let n(j) be the third derivative of -7*j**6/720 - j**5/40 - j**4/72 + 91*j**2. Factor n(g).
-g*(g + 1)*(7*g + 2)/6
Let f(b) be the second derivative of b**6/180 - 7*b**5/120 - 7*b**4/18 - 5*b**3/9 + 2*b - 16. Let f(p) = 0. Calculate p.
-2, -1, 0, 10
Determine m so that 1/7*m**2 - 16/7 + 0*m = 0.
-4, 4
Let m be 2/(-2 + 0)*-9. Let f be m/6 - (-2)/(-4). Factor -2*o**2 + 3*o - o - 2*o**3 - f + 1 + 2.
-2*(o - 1)*(o + 1)**2
Let d = -1404 - -9878/7. What is j in -2/7*j**5 + 8/7 - 38/7*j**3 - 32/7*j + 2*j**4 + d*j**2 = 0?
1, 2
Let w = -700 + 703. Determine r, given that 7/5*r**4 + 2/5*r**2 - 2/5*r**5 - 8/5*r**w + 2/5*r - 1/5 = 0.
-1/2, 1
Let 1/2*o**4 + 4 - 9/2*o**2 + 7/2*o**3 - 7/2*o = 0. Calculate o.
-8, -1, 1
Factor 1/3*z**3 - 2/3*z + 0 + 1/3*z**5 + z**4 - z**2.
z*(z - 1)*(z + 1)**2*(z + 2)/3
Suppose 27*a - 134 + 80 = 0. Let 4/7 - s**a + 12/7*s = 0. Calculate s.
-2/7, 2
Let c be -15*(36/(-5) - (20 - -15)/(-5)). Let m(l) = -4*l**3 - l**2 - l. Let v be m(-1). Find g such that 0*g + 1/2*g**c + 7/4*g**v + 0 - 1/4*g**2 + g**5 = 0.
-1, 0, 1/4
Let q(w) be the second derivative of 0 + 0*w**2 - 3*w + 1/24*w**4 + 1/3*w**3. Factor q(g).
g*(g + 4)/2
Let v = 211515/7 - 30213. Determine r so that -120/7*r**3 - 116/7*r**2 - 4*r**4 + 0 - v*r = 0.
-3, -1, -2/7, 0
Let m = 16 + -12. Factor -6*s + 5*s + 0*s**5 - s + m*s**3 - 2*s**5.
-2*s*(s - 1)**2*(s + 1)**2
Determine z so that 33*z**3 + 12*z**2 - 15*z + 6 - 10*z**3 - 8*z**3 - 18*z**3 = 0.
1, 2
Let p(v) be the first derivative of 0*v + 22*v**4 - 262/5*v**5 + 9 - 8/3*v**3 + 0*v**2 + 91/3*v**6. Let p(t) = 0. What is t?
0, 2/13, 2/7, 1
Suppose x - 5 = -2*w - 2*w, x + 2*w = -5. Let a be 2/(2/2 - x/6). Find q such that 0 + 0*q - 2/7*q**4 - a*q**3 - 2/7*q**2 = 0.
-1, 0
Let j(m) = m**3 + m**2 + 1. Let i(l) = -4*l + 50 + l**2 + 9*l**2 - 44 + 14*l**3. Let v(p) = i(p) - 6*j(p). Factor v(s).
4*s*(s + 1)*(2*s - 1)
Find p, given that -17 - 13/4*p**2 + 1/4*p**3 - 16*p = 0.
-2, 17
Let b(k) = -9*k**4 - 28*k**3 - 17*k**2 + 62*k + 32. Let t(n) = -6*n**4 - 19*n**3 - 11*n**2 + 41*n + 20. Let q(z) = -5*b(z) + 8*t(z). Let q(c) = 0. Calculate c.
-3, -2, 0, 1
Suppose 0 = 31*d - 26*d - 10. Determine g, given that 6/7*g + 2/7 - 8/7*g**d = 0.
-1/4, 1
Let n = 178 - 164. Suppose -q + 8*q - n = 0. Factor 0 + 0*l + 1/3*l**q.
l**2/3
Let s(d) be the first derivative of 7*d**6/300 + 11*d**5/150 - d**4/10 - 31*d**2/2 - 18. Let x(a) be the second derivative of s(a). Factor x(p).
2*p*(p + 2)*(7*p - 3)/5
What is h in -88/3 + 30*h**3 - 30*h + 86/3*h**2 + 2/3*h**4 = 0?
-44, -1, 1
Let f 