)/3
Let i(b) = 2*b**2 - 2*b. Let x(w) = 2*w**2 - 5*w - 1 + 4*w**2 + 0*w**2. Suppose k - 1 = -12. Let o(u) = k*i(u) + 4*x(u). Solve o(y) = 0.
-2, 1
What is b in -109 + 327 + 102 - 99*b + 19*b + 5*b**2 = 0?
8
Suppose -3*r + 37 = 10. Suppose -24*d**2 - r*d + 15*d**5 - 18*d**4 + 66*d**3 + 16 - 36*d**4 - 10 = 0. What is d?
-2/5, 1
Let j = -30 + 44. Let l = 57/4 - j. Factor -1 - l*o**2 - o.
-(o + 2)**2/4
Let i = -6/43 + 85/301. Let i + 0*p - 2/7*p**2 + 0*p**3 + 1/7*p**4 = 0. Calculate p.
-1, 1
Let x(m) = -m**3 - m. Let g(r) = 3*r**3 + 6*r**2 + 3*r. Let p = -20 - -14. Let w(z) = p*x(z) - g(z). Factor w(b).
3*b*(b - 1)**2
Let q(d) = -2*d**4 - 4*d**3 - 2*d**2 + 20*d - 12. Let b(m) = 3*m**4 + 4*m**3 + m**2 - 21*m + 13. Let t = 32 - 27. Let h(k) = t*q(k) + 4*b(k). Factor h(r).
2*(r - 2)*(r - 1)**2*(r + 2)
Suppose 0*l = -3*l - 12, -s = -2*l - 8. Let 0*v**2 + s - 1/4*v**3 + 0*v + 3/4*v**4 = 0. Calculate v.
0, 1/3
Let j = 2 - 0. Suppose 12 = 4*t + j*k, -3*t + 8*t - 6 = 2*k. Suppose t*q**4 - 6*q**2 - 8*q + 4*q**3 - 6 + 0*q + 14 = 0. Calculate q.
-2, 1
Let -4/5*i + 4/5*i**3 + 8/5 - 8/5*i**2 = 0. What is i?
-1, 1, 2
Let b(k) be the first derivative of k**4/3 + 4*k**3/3 + 4*k**2/3 + 2. Let b(q) = 0. Calculate q.
-2, -1, 0
Let l = 112/141 + -6/47. Factor x + l + 1/3*x**2.
(x + 1)*(x + 2)/3
Factor 0*x + 2/13*x**4 - 2/13*x**5 + 0 - 2/13*x**2 + 2/13*x**3.
-2*x**2*(x - 1)**2*(x + 1)/13
Let o = -1/606 + 137/1414. Let g(t) be the first derivative of 2 + o*t**3 - 2/35*t**5 + 2/7*t**2 + 0*t - 1/7*t**4. Factor g(n).
-2*n*(n - 1)*(n + 1)*(n + 2)/7
Determine l so that -4/5*l**2 - 12/5*l + 16/5 = 0.
-4, 1
Let z(k) be the first derivative of -6*k**5/35 - 12*k**4/7 + 61. Let z(b) = 0. Calculate b.
-8, 0
Let d(o) be the second derivative of -2*o + 2/9*o**3 - 1/18*o**4 + 0 - 1/3*o**2. Factor d(x).
-2*(x - 1)**2/3
Let s be 4/22 + 9792/(-56034). Let r = 544/3113 + s. Solve 4/11*l - r - 2/11*l**2 = 0.
1
Let k(t) be the first derivative of 0*t + 1/18*t**3 + 1/30*t**5 - 2 + 1/12*t**4 + 0*t**2. Factor k(x).
x**2*(x + 1)**2/6
Let a(k) be the second derivative of k + 0 - 1/6*k**3 + 1/2*k**2 - 1/6*k**4. Factor a(f).
-(f + 1)*(2*f - 1)
Let t(k) be the first derivative of k**6/2 - 9*k**4/4 + 2*k**3 + 4. Let t(g) = 0. Calculate g.
-2, 0, 1
Let h = 1280 + -153599/120. Let y(s) be the third derivative of 0*s**4 + 0 + 0*s + 1/12*s**3 - h*s**5 - 2*s**2. Factor y(o).
-(o - 1)*(o + 1)/2
Factor 1/2 + 0*z - 1/2*z**2.
-(z - 1)*(z + 1)/2
Suppose -4*d - 7*a + 4*a - 1 = 0, 5*a = -4*d - 7. Suppose 5*k**2 + 2*k**2 - k - 4*k**d - 4*k**2 + 2 = 0. Calculate k.
-2, 1
Let z = 14 + -10. Suppose -4*u + 15 = u. Solve -b + 4 + 6*b**u + 11*b + 8*b**2 - z*b**3 = 0.
-2, -1
Suppose -3*g + 2*s + 40 = -3*s, -45 = -4*g + 5*s. Suppose 3*b - g*b = -6. Factor 0 + 0*y + 3/4*y**2 - 3/2*y**b + 3/4*y**4.
3*y**2*(y - 1)**2/4
Let x(u) be the first derivative of -u**6/15 - 3*u**5/25 + u**4/20 + u**3/5 + u**2/10 - 1. Determine j so that x(j) = 0.
-1, -1/2, 0, 1
Let m(a) be the third derivative of 0*a + 0 - 1/135*a**5 + a**2 + 0*a**3 + 0*a**4 + 1/540*a**6. Find f, given that m(f) = 0.
0, 2
Let t(j) be the first derivative of -5*j**6/6 - 2*j**5/5 + 5*j**4/4 + 2*j**3/3 - 36. Suppose t(c) = 0. Calculate c.
-1, -2/5, 0, 1
Let w(o) = 7*o - 1. Let v be w(1). Solve b**5 - 3*b**5 - 112*b + 2*b**2 + 108*b - 2*b**4 + v*b**3 = 0 for b.
-2, -1, 0, 1
Let g be (-170)/(-408)*4/10. Factor 0*u**2 - g*u**3 - 1/6*u**5 + 0*u + 0 - 1/3*u**4.
-u**3*(u + 1)**2/6
Let g(d) be the third derivative of -d**5/12 + 5*d**4/8 - 13*d**2. Factor g(w).
-5*w*(w - 3)
Let t = 14 - 9. Suppose 3*i + 3*f + 2*f = 19, -4*i - t*f + 22 = 0. Let 0*z + z**5 + 0 + 3/2*z**i - 9/4*z**4 - 1/4*z**2 = 0. Calculate z.
0, 1/4, 1
Let h be 0/(-1) + 0 + 28/7. Factor 0*j - 2/9*j**h - 2/9*j**3 + 2/9*j**5 + 2/9*j**2 + 0.
2*j**2*(j - 1)**2*(j + 1)/9
Let f(d) be the first derivative of 2*d**6/3 - 12*d**5/5 + 2*d**4 - 63. Factor f(b).
4*b**3*(b - 2)*(b - 1)
Suppose 3*n**5 - 3*n + 2*n - 6*n**3 + 4*n**4 - 6*n**2 + 4*n + 3 - n**4 = 0. Calculate n.
-1, 1
Let d(q) = 3*q**5 + 3*q**4 - 3*q**3 + q**2. Let m(c) = 4*c**5 + 3*c**4 - 3*c**3 + c**2. Let h(l) = -5*d(l) + 4*m(l). Factor h(r).
r**2*(r - 1)**3
Factor -4/9 + 2/9*j**3 - 2/3*j + 0*j**2.
2*(j - 2)*(j + 1)**2/9
Let l be 18/(-40) + (-3)/(-3). Let w = 4/5 - l. Factor -1/2*z**2 + w*z**5 + z**4 - 1/2 - 5/4*z + z**3.
(z - 1)*(z + 1)**3*(z + 2)/4
Let p = -90 + 94. What is k in -1/4*k + 3/4*k**5 - 1/4 - 1/2*k**3 + 3/2*k**2 - 5/4*k**p = 0?
-1, -1/3, 1
Let f(n) be the third derivative of -1/60*n**6 + 0*n**3 + 0*n**7 + 0*n + 0 + 1/168*n**8 - 3*n**2 + 0*n**5 + 0*n**4. Solve f(a) = 0.
-1, 0, 1
Let c(y) = y + 1. Let u(o) = -2*o**2 - 4*o - 10. Suppose 2*v + v = 2*l - 40, 2*l = -4*v - 58. Let s be 8/(-28) - 18/v. Let f(p) = s*u(p) + 8*c(p). Factor f(w).
-2*(w - 1)**2
Factor 1/7*n**3 - 1331/7 - 33/7*n**2 + 363/7*n.
(n - 11)**3/7
Factor 28*j**2 - 2*j**5 + 24*j**3 + 11742 - 11742 + 10*j + 4*j**4.
-2*j*(j - 5)*(j + 1)**3
Let v(n) = -n. Let x(d) = -4*d**3 + 4*d**2 - 12*d - 4. Let t(m) = -16*v(m) + x(m). Factor t(f).
-4*(f - 1)**2*(f + 1)
Let v(a) = a**2 + 3*a. Let m be v(3). Suppose -21*d**2 - 12*d**2 + m*d + 18*d**3 + 52 - 55 = 0. Calculate d.
1/3, 1/2, 1
Let c(d) be the first derivative of d**3/7 + 3*d**2 + 39*d/7 - 17. Let c(a) = 0. What is a?
-13, -1
Let w be 5*15/20*(-4)/(-6). Find q, given that w*q**5 - 14/3*q**2 - 4/3*q + 31/6*q**4 - 5/3*q**3 + 0 = 0.
-2, -2/3, -2/5, 0, 1
Let a be 12/66 + (-40)/(-22). Factor -g - 2*g**4 + 2*g**2 + g**5 + 3*g**2 - 2*g**a - g**2.
g*(g - 1)**3*(g + 1)
Let t(h) be the third derivative of h**6/180 - h**5/15 + h**4/3 - h**3/6 - 3*h**2. Let q(z) be the first derivative of t(z). Suppose q(b) = 0. Calculate b.
2
Let f(l) be the third derivative of 0*l - 2*l**3 + 0*l**4 + 3/20*l**5 - 4*l**2 + 1/40*l**6 + 0. Let f(p) = 0. Calculate p.
-2, 1
Let v be -5*(2/(-10) - 56/70). Let x = 25/132 + 2/33. Factor x*i**v + 0 - 1/4*i**3 + 1/4*i**4 + 0*i - 1/4*i**2.
i**2*(i - 1)*(i + 1)**2/4
Let 1/4*r**2 + 7/4*r + 3 = 0. What is r?
-4, -3
Let u(r) = 25*r**5 - 30*r**4 - 20*r**3 - 10*r**2 - 25*r - 20. Let l(b) = -b**5 + b**4 + b**3 + b**2 + b + 1. Let m(h) = -20*l(h) - u(h). Solve m(q) = 0.
-1, 0, 1
Let w(b) be the third derivative of b**5/240 + b**4/96 + 7*b**2. Let w(i) = 0. What is i?
-1, 0
Let j(r) = -18*r**5 + 76*r**4 - 106*r**3 + 32*r**2 + 16*r. Let t(n) = n**5 - n**3. Let g(d) = -j(d) - 2*t(d). Find y such that g(y) = 0.
-1/4, 0, 1, 2
Let k(c) be the second derivative of c**5/70 + c**4/42 - 9*c. Suppose k(x) = 0. Calculate x.
-1, 0
Let t(v) be the first derivative of 3/2*v**2 - 3 + 0*v**3 + 0*v - 1/60*v**5 + 1/120*v**6 + 0*v**4. Let x(i) be the second derivative of t(i). Factor x(s).
s**2*(s - 1)
Let x(j) be the third derivative of j**7/420 + j**6/48 - j**5/40 - 13*j**4/48 + 5*j**3/6 - j**2 + 5*j. Suppose x(q) = 0. What is q?
-5, -2, 1
Let l(t) = t**3 - t**2 + t - 1. Let m(o) = -4*o**2 + 2*o + 2. Let d(y) = 4*l(y) + 2*m(y). Factor d(u).
4*u*(u - 2)*(u - 1)
Let w(m) be the second derivative of -m**7/126 + m**6/90 + m**5/10 - 7*m**4/18 + 11*m**3/18 - m**2/2 - 8*m. Find l such that w(l) = 0.
-3, 1
Let u = 5 + -3. Let k be (-6)/(-15) - (-52)/70. Find x such that -2/7*x + 0 - 6/7*x**u + k*x**3 = 0.
-1/4, 0, 1
Factor -12/11*f**2 + 6/11*f**3 + 6/11*f + 0.
6*f*(f - 1)**2/11
Suppose -n**5 - 2*n + 2*n + 16 + 4*n**3 + 12*n**4 - 28*n**2 - 3*n**5 = 0. What is n?
-1, 1, 2
Let r(u) be the first derivative of u**4/4 + u**2/2 + u + 1. Let d(h) = 3*h**3 + 2*h**2 + 8*h - 4. Let m(f) = d(f) - 4*r(f). Factor m(s).
-(s - 2)**2*(s + 2)
Suppose x + 2*x = 0. Suppose -3*y = -4*u + 4 - 0, x = u - 4. What is s in -2*s**4 + 4*s**y + s**3 - 2*s**4 + s**4 = 0?
-1, 0
Let f(s) = -2*s**4 - 6*s**3 + 6*s**2 + 2*s - 3. Let h(u) = 3*u**4 + 7*u**3 - 7*u**2 - 3*u + 4. Let c(x) = -4*f(x) - 3*h(x). Factor c(l).
-l*(l - 1)**3
Solve 30*z**5 - 15*z**2 - 10*z**5 - 75*z**4 - 44*z**2 + 9*z**2 + 100*z**3 + 5 = 0.
-1/4, 1
Let n = -381/14 - -194/7. Factor 0 - n*f**2 + 1/2*f**4 + 0*f + 0*f**3.
f**2*(f - 1)*(f + 1)/2
Determine x so that -10/7*x + 2/7*x**2 + 12/7 = 0.
2, 3
Let a(t) = -2*t**3 + 1. Let w(k) = -4*k**4 + 8*k**3 + 20*k**2 - 20. Let x(r) = -4*a(r) - w(r). Find p, given that x(p) = 0.
-2, -1, 1, 2
Let c(m) be the third derivative of m**2 + 0 + 0*m**3 - 1/96*m**6 + 1/210*m**7 + 0*m**4 + 0