 Let 3*o**b - o**2 + o + 2 + 3*o = 0. What is o?
-1
Let u(q) = q**3 + 7*q**2 - 8*q. Let v be u(-8). Suppose -4*w + 1 + v*w**2 + 4*w**2 - 5*w**2 - 5 = 0. What is w?
-2
Let m(c) = 8*c**3 + 4*c**2 - 6*c - 2. Let s be -6*(-1 - (-2)/3). Let k(g) = g**4 - 9*g**3 - 5*g**2 + 6*g + 1. Let z(r) = s*k(r) + 3*m(r). Factor z(x).
2*(x - 1)*(x + 1)**2*(x + 2)
Factor -2/3*w**2 - 1/3*w**5 + 1/3 - 1/3*w + 1/3*w**4 + 2/3*w**3.
-(w - 1)**3*(w + 1)**2/3
Suppose -4*r = -2*r + 5*t - 24, -3*r - 4*t + 22 = 0. Suppose -2/3*s + 0 - 1/3*s**r = 0. Calculate s.
-2, 0
Let a(w) = -w**2 + 12*w - 8. Let h be a(11). Let v be ((-6)/h)/(-1)*1. Factor 0 + 1/2*x**v + 1/4*x**3 + 1/4*x.
x*(x + 1)**2/4
Let c(p) = 9*p**4 + 11*p**3 + 4*p**2 + 4*p + 4. Let f(l) = 35*l**4 + 45*l**3 + 15*l**2 + 15*l + 15. Let o(q) = -15*c(q) + 4*f(q). Factor o(d).
5*d**3*(d + 3)
Let -2/3*s**2 - 2/3 - 4/3*s = 0. Calculate s.
-1
Let o(s) be the second derivative of s**5/330 - s**4/132 + s**2/2 + 3*s. Let d(k) be the first derivative of o(k). Suppose d(b) = 0. Calculate b.
0, 1
Let c(k) = 2*k**5 - 6*k**4 + 6*k**3 - 2*k**2 + 5*k + 5. Let w(f) = f**5 - 3*f**4 + 3*f**3 - f**2 + 2*f + 2. Let y(a) = -2*c(a) + 5*w(a). Factor y(h).
h**2*(h - 1)**3
Let y(l) be the first derivative of -5*l**4/4 + 5*l**3 - 15*l**2/2 + 5*l - 7. Factor y(m).
-5*(m - 1)**3
Suppose -13*k = -17 - 9. Suppose 1/4*l**4 + 0 - 1/2*l**3 + 0*l + 1/4*l**k = 0. Calculate l.
0, 1
Let a(h) be the third derivative of -h**5/60 - 5*h**4/4 - 75*h**3/2 + 30*h**2. Determine d so that a(d) = 0.
-15
Let q(p) be the third derivative of 0*p + 1/30*p**5 + 0 + 1/2*p**4 + 3*p**3 + 5*p**2. Factor q(m).
2*(m + 3)**2
Let z(o) be the first derivative of 0*o + o**2 + 1 - 5/3*o**3. What is p in z(p) = 0?
0, 2/5
Let d(t) = -9*t**2 - 4*t - 7. Let s(o) = 5*o**2 + 2*o + 4. Let q(i) = -4*d(i) - 7*s(i). Determine f so that q(f) = 0.
-2, 0
Let l = 40 + -37. Factor -14/9*v**l - 2/3*v**4 - 2/9*v - 10/9*v**2 + 0.
-2*v*(v + 1)**2*(3*v + 1)/9
Let b(a) be the first derivative of a**7/630 + a**6/540 - a**3/3 - 1. Let o(t) be the third derivative of b(t). Find f, given that o(f) = 0.
-1/2, 0
Suppose 5 = n - 2*m - 2, 3*m = 5*n - 28. What is f in -4 + 4*f**2 - 4*f + 0*f - n*f**2 = 0?
-2
Let q(o) = 4*o**2 + o + 7. Let u be q(-3). Let m = u - 79/2. Solve 3/2*i**4 - 3/2*i**3 - 1/2*i**5 + 0 + m*i**2 + 0*i = 0.
0, 1
Let p(m) be the third derivative of m**8/120960 + m**7/15120 + m**6/4320 - m**5/30 + 4*m**2. Let j(y) be the third derivative of p(y). What is k in j(k) = 0?
-1
Let c(i) = i + 1. Let j be c(4). Suppose 4*k - j*u = 28, 4*k - 21 = 3*u - 1. Suppose -2*d + 5*d**4 - 11*d**2 - 4*d**4 + 8*d**k = 0. Calculate d.
-1, 0, 2
Let b(m) = -4*m**4 - 26*m**3 - 84*m**2 - 66*m. Let r(h) = 8*h**4 + 51*h**3 + 168*h**2 + 131*h. Let z(o) = -13*b(o) - 6*r(o). Factor z(n).
4*n*(n + 2)*(n + 3)**2
Let w(f) be the third derivative of -f**7/840 + f**3/3 + 3*f**2. Let r(c) be the first derivative of w(c). Let r(v) = 0. What is v?
0
Suppose 11*p = 12*p - 2. Factor 4*s**3 + 28*s + 5*s**2 - s - 3*s**3 - 14*s**p - 27.
(s - 3)**3
Let o(x) be the second derivative of -x**6/10 - 3*x**5/5 - 3*x**4/2 - 2*x**3 - 3*x**2/2 + 7*x. Let o(g) = 0. What is g?
-1
Let g(f) be the third derivative of -f**8/504 + 7*f**6/720 - f**5/360 - f**4/48 + f**3/36 - f**2. Let g(v) = 0. What is v?
-1, 1/2, 1
Let u(h) = h - 11. Let t be (3 - 4)/(4/(-56)). Let l be u(t). Find p, given that 0 + 2/7*p**l - 2/7*p**2 - 4/7*p = 0.
-1, 0, 2
Let d(y) = y**2 + 7*y + 3. Let l be d(-7). Let q be 2*(20/(-7) + l). Factor -8/7*m - 4/7*m**3 + 10/7*m**2 + q.
-2*(m - 1)**2*(2*m - 1)/7
Let u = 2 - 0. Suppose 10 = 4*y + x, -x = -2*y - 0*y + 8. Solve -2/5*p**y + 8/5 - 16/5*p + 2*p**u = 0.
1, 2
Let s(f) be the first derivative of -7*f**6/3 - 10*f**5 - 44*f**4/7 - 8*f**3/7 + 23. Find b such that s(b) = 0.
-3, -2/7, 0
Let j be ((16/18)/4)/40. Let u(h) be the third derivative of -2*h**2 + 1/18*h**3 + 0 - 1/360*h**6 + 1/72*h**4 + 0*h - j*h**5. What is p in u(p) = 0?
-1, 1
Let q be ((-48)/(-540))/(4/6). Let f(r) be the third derivative of -q*r**5 + 1/12*r**4 + 0 - 1/60*r**6 + 4/105*r**7 + 0*r - 3*r**2 + 0*r**3. Factor f(t).
2*t*(t - 1)*(t + 1)*(4*t - 1)
Find c such that 5*c**3 + 411*c**5 - 10*c**4 - 3 - 406*c**5 + 3 = 0.
0, 1
Suppose -4*h = 4*a - 20, 5*h = -a - 2*a + 17. Let m be (-64)/(-28) - 2/h. Factor 0*u + m*u**2 - 2/7.
2*(u - 1)*(u + 1)/7
Factor 0*c + 112*c**2 - 15*c**3 - c - 61*c**2 - 17*c.
-3*c*(c - 3)*(5*c - 2)
Let l(p) = -p**2 - 9*p - 7. Let z be l(-6). Let k = z + 35/3. What is d in k*d**2 + 34/3*d**3 + 56/3*d + 16/3 + 2*d**4 = 0?
-2, -1, -2/3
Let x = -3/67 - -155/469. Factor -x*c**3 - 2/7*c**2 + 2/7*c**4 + 0 + 2/7*c.
2*c*(c - 1)**2*(c + 1)/7
Let y = 2 + 0. Let k(j) = 7 + 8*j**2 - 9*j - 3*j**2 + 2*j**2. Let b(o) = 3*o**2 - 4*o + 3. Let m(f) = y*k(f) - 5*b(f). What is w in m(w) = 0?
1
Let f(g) = 8*g**4 + 8*g**3 + 4*g**2 - 8*g - 4. Let t(u) = u**4 - u**3 + u + 1. Let y(s) = f(s) - 4*t(s). Let y(c) = 0. What is c?
-2, -1, 1
Let m(a) = 16*a - 1. Let t = -4 - -5. Let j be m(t). Find o, given that o - 15 - 3*o**2 + j + 3*o**3 - o**4 = 0.
0, 1
Let b = -7 - -4. Let l be (b - -4)*(-12)/(-2). Factor 56*p - 32*p**4 - 112*p**3 - l - 66*p**2 + 0 - 2.
-2*(p + 2)**2*(4*p - 1)**2
Let q = -17951 + 322961/18. Let x = -17/2 - q. Factor 0 + 0*g**2 - x*g + 2/9*g**3.
2*g*(g - 1)*(g + 1)/9
Factor -3/7*q**3 - 3/7*q**4 + 0 + 0*q + 6/7*q**2.
-3*q**2*(q - 1)*(q + 2)/7
Let y = 5 - -43. Determine w, given that -2*w - 48 + 3*w**2 - 4*w + y = 0.
0, 2
Let b = 7841/40 + -196. Let q(j) be the second derivative of -2*j**2 - j**3 + 0 - b*j**5 - 1/4*j**4 + j. Find r such that q(r) = 0.
-2
Let i(y) be the first derivative of y**4/8 + y**3/6 + 3. Factor i(s).
s**2*(s + 1)/2
Let u(j) = j + 3. Let o be u(7). Suppose -2*a + o = 2. Factor 6*c**4 + 28*c**2 + 27*c**5 - 27*c**4 - 18*c**3 - 8*c - 6*c**a.
c*(c + 1)*(3*c - 2)**3
Suppose -5*n - 20 = 0, -2*r + 27 = -2*n + 15. Factor -2/9*i**r + 4/9 - 2/9*i.
-2*(i - 1)*(i + 2)/9
Let v be 11 + (-7)/((-42)/(-48)). What is d in 0*d + 1/4*d**2 + 1/4*d**v + 0 = 0?
-1, 0
Let j = -11 - -13. Factor -13*f + j*f**2 + 18 - 4*f + 5*f.
2*(f - 3)**2
Let j(b) be the first derivative of -2*b**6/15 + 8*b**5/5 - 16*b**4/5 - 8*b**3/15 + 34*b**2/5 - 32*b/5 - 27. Suppose j(w) = 0. Calculate w.
-1, 1, 8
Suppose 1/2*o + 3/4 - 1/4*o**2 = 0. Calculate o.
-1, 3
Let p(t) be the first derivative of -t**3/15 - 3*t**2/10 + 1. Factor p(o).
-o*(o + 3)/5
Suppose 19 = 5*n + 19. Let i(s) be the second derivative of 0*s**2 + 1/10*s**5 + 0*s**3 - 1/21*s**7 + s + n - 1/15*s**6 + 1/6*s**4. Factor i(d).
-2*d**2*(d - 1)*(d + 1)**2
Suppose 3*x = -h + 3, 0*x = h + 2*x - 3. Factor -1/4*t**4 - 1/4*t**h + 1/4*t + 0 + 1/4*t**2.
-t*(t - 1)*(t + 1)**2/4
Let 0*i + 1/2*i**3 + 0*i**4 + 0*i**2 + 0 - 1/2*i**5 = 0. What is i?
-1, 0, 1
Factor 17*d**2 - 40*d**2 + 19*d**2 - 16*d.
-4*d*(d + 4)
Suppose 2*w - 3*t = 17, -80 = -3*w - 5*t - 26. Let f = w - 9. Determine s so that 2*s**2 + 3 - f - s**2 = 0.
-1, 1
Solve 5*y**3 - 4*y**3 - y**3 - y**2 + y**3 = 0 for y.
0, 1
Factor 3/4*b + 1/4*b**2 + 1/2.
(b + 1)*(b + 2)/4
Let k = 1 + 4. Solve 4*q**4 + q**3 - 5*q**4 + q**5 - k*q**4 + 4*q**4 = 0.
0, 1
Let c(j) be the third derivative of -j**8/336 + j**7/105 + j**6/60 - 2*j**5/15 + 7*j**4/24 - j**3/3 - 5*j**2. Factor c(i).
-(i - 1)**4*(i + 2)
Let j = 2 - 1. Let t be 4/j - (-46)/(-12). Find l, given that 1/6 + t*l**2 + 1/3*l = 0.
-1
Suppose -2*r + 3*r = 1. Factor 3*q - 3 - r - 2 - q**3 + 4.
-(q - 1)**2*(q + 2)
Let w = 15 - 13. Suppose 2*m - 5*m + 6 = 0. Factor 1/2*z**2 + m + w*z.
(z + 2)**2/2
Let h = 16 + -12. Let a = h - 1. Factor 0 + 2/3*p**2 + 7/3*p**a + 0*p.
p**2*(7*p + 2)/3
Let c(a) = 2*a**5 - 3*a**4 + 4*a**3 - 3*a + 3. Let n(z) = z**5 - 2*z**4 + 3*z**3 - 2*z + 2. Let t(g) = -4*c(g) + 6*n(g). Factor t(i).
-2*i**3*(i - 1)*(i + 1)
Let r(c) = 2*c**2 + 25*c + 33. Let j be r(-11). Let -3/2*a**4 - 3/2*a + 3/2*a**3 + 3/2*a**2 + j = 0. What is a?
-1, 0, 1
Let g(q) be the first derivative of q**4/16 - q**2/2 + 6. Factor g(j).
j*(j - 2)*(j + 2)/4
Suppose -1 = 4*g - 5. Let q(o) = -o**3 + 1. Let z(y) = -9*y**3 + 9*y**2 - 2*y + 2. Let n(p) = g*z(p) - 2*q(p). Solve n(u) = 0.
0, 2/7, 1
Let b = -23 - -17. Let i(v) = -v**4 - 10*v**3 - 4*v**2 - 6*v. Let r(z) = -3*z**4 - 29*z**3 - 12*z**2 - 17*z. Let a(f) = b*r(f) + 17*i(f). Factor a(h).