f = 451/63 - 47/7. Suppose -3 + 2 = 5*z + d, -3*z + 2*d + 2 = 0. Factor -f*n - 2/9*n**4 - 10/9*n**2 + z - 8/9*n**3.
-2*n*(n + 1)**2*(n + 2)/9
Let u be 9/21 + 312/(-1512). Find h such that -4/9 + 2/9*h**2 + u*h = 0.
-2, 1
Let j = 7 - 4. Solve -4/5*b**2 + 0 - 2/5*b**j - 2/5*b = 0 for b.
-1, 0
Let s = -2242/715 + 41/13. Let l(t) be the second derivative of -1/231*t**7 + 0*t**4 + s*t**5 - t + 0 + 0*t**2 - 1/33*t**3 + 0*t**6. Factor l(x).
-2*x*(x - 1)**2*(x + 1)**2/11
Suppose -3*k + 4*h = -h, -4*k - 2*h = 0. Let 0*f + 1/4*f**4 + k*f**2 - 1/4*f**3 + 0 = 0. What is f?
0, 1
Let w(b) be the third derivative of b**6/120 + b**5/60 - b**4/24 + b**3/6 + 3*b**2. Let l(m) = 7*m**3 + 6*m**2 - 7*m + 6. Let x(s) = l(s) - 6*w(s). Factor x(o).
o*(o - 1)*(o + 1)
Let u = 5 - 5. Suppose -2*r + u*r + 5*g - 5 = 0, 4*r - 3*g = -3. Solve -3/4*p**4 + 3/4*p**2 - 1/2*p**3 + r + 1/2*p = 0.
-1, -2/3, 0, 1
Let q = 19 - 17. Let m(p) be the second derivative of -1/10*p**5 - 1/6*p**4 + p + 0*p**3 + 0*p**q + 0. Solve m(z) = 0 for z.
-1, 0
Factor 2*o**4 + 618*o - 4*o**2 - 2*o**5 - 616*o + 2*o**4.
-2*o*(o - 1)**3*(o + 1)
Let b be 3*(40/(-45))/(-4). Solve -7/3*l**3 - 5/3*l**2 + b*l + 0 = 0.
-1, 0, 2/7
Let q be (-16)/(-88) - (-76)/66. Let l = 4 - 2. Determine f so that f**3 - q*f + 0 - 4/3*f**l = 0.
-2/3, 0, 2
Let n(x) be the first derivative of -1/8*x**2 + 0*x + 1/12*x**3 - 5. Solve n(d) = 0 for d.
0, 1
Let j(n) be the second derivative of -1/9*n**3 + 1/36*n**4 + 0 + 0*n**2 + 2*n. Factor j(u).
u*(u - 2)/3
Let c(x) be the second derivative of -x**4/4 + 4*x**3 - 21*x**2/2 + 2*x + 7. Factor c(y).
-3*(y - 7)*(y - 1)
Let v(j) = -5*j - 78. Let x be v(-16). Factor 6/7*a**x - 2/7*a**3 + 2/7 - 6/7*a.
-2*(a - 1)**3/7
Factor 2*f**3 + f + 2*f**2 - 3*f - 2*f**4 - f**3 + f**3.
-2*f*(f - 1)**2*(f + 1)
Let c be 10/12 + 7/(-14). Let g(i) be the first derivative of -c*i**6 + 4/5*i**5 + 2 + 0*i**2 + 0*i**3 - 1/2*i**4 + 0*i. Factor g(u).
-2*u**3*(u - 1)**2
Let c(g) be the third derivative of g**8/840 - g**7/210 + g**6/300 + g**5/75 - g**4/30 + g**3/30 + 14*g**2. Solve c(w) = 0.
-1, 1/2, 1
Let g be (-2)/5 - (-34)/10. Let m be 2/g*(-9)/(-3). Suppose 0 + 0*z + 0*z**m + 1/3*z**5 + 1/3*z**4 + 0*z**3 = 0. Calculate z.
-1, 0
Suppose 0*b + 0*b**2 + 0 - 8/9*b**3 - 2/9*b**4 = 0. Calculate b.
-4, 0
Let k be (-2)/3 - (-12)/18. Factor 0 + k - x + x**2 - 2.
(x - 2)*(x + 1)
Let x(s) be the third derivative of -1/90*s**5 + 0*s**4 + 0 + 0*s + 0*s**3 - s**2. Find f, given that x(f) = 0.
0
Let d(b) be the second derivative of 1/18*b**4 + 0*b**3 + 0*b**2 + 0 + 1/60*b**5 + 4*b. Factor d(p).
p**2*(p + 2)/3
Let b(m) be the second derivative of m**5/20 - m**4/3 + 5*m**3/6 - m**2 - m. Factor b(s).
(s - 2)*(s - 1)**2
Let j = 6 + -6. Let r be -1 - -7 - (3 - 1). Factor j*n - 4 + 2*n**3 + 4*n**2 + 2*n + r.
2*n*(n + 1)**2
Let u(q) be the third derivative of q**6/60 + q**5/30 - q**4/3 - 4*q**3/3 + 4*q**2 - 2. Factor u(c).
2*(c - 2)*(c + 1)*(c + 2)
Let g(m) be the first derivative of m**6/39 + 2*m**5/65 - m**4/26 - 2*m**3/39 + 10. Let g(y) = 0. Calculate y.
-1, 0, 1
Let d = 12 - 12. Let v be 0/(-3 - d - -2). Factor -1/4*f**2 - 1/4*f + v.
-f*(f + 1)/4
Suppose 2*j + 5 = -5*g, 6*g - 4*g + 3*j + 2 = 0. Let w(h) = -h + 1. Let a be w(g). Factor -2*z**3 + a*z + 2*z**4 - 4*z**2 + 2*z**2 + 0*z.
2*z*(z - 1)**2*(z + 1)
Let a be 2 - (2 + 2*-1). Factor -2*x**2 + x**2 + x**3 - x - x**a - 2*x**3.
-x*(x + 1)**2
Factor 14/5*q - 4 - 2/5*q**3 + 8/5*q**2.
-2*(q - 5)*(q - 1)*(q + 2)/5
Solve 34/5*u**3 - 8/5*u + 0 + 2*u**5 - 36/5*u**4 + 0*u**2 = 0 for u.
-2/5, 0, 1, 2
Let v(i) be the second derivative of i + 1/36*i**4 + 1/60*i**5 + 0 - 1/18*i**3 - 1/6*i**2. Find z such that v(z) = 0.
-1, 1
Let r(f) be the first derivative of -2*f**5/95 - 3*f**4/19 - 26*f**3/57 - 12*f**2/19 - 8*f/19 + 7. Suppose r(m) = 0. Calculate m.
-2, -1
Let c = -28 - -28. Let p(z) be the second derivative of 0 - 1/105*z**6 + 1/42*z**4 + 1/70*z**5 - 1/21*z**3 + 3*z + c*z**2. Factor p(m).
-2*m*(m - 1)**2*(m + 1)/7
Let f = 367/6 - 61. Let p(r) be the first derivative of 2 + f*r**4 + 0*r**2 + 2/9*r**3 + 0*r. Factor p(b).
2*b**2*(b + 1)/3
Factor -1/8*j**4 + 0 + 1/8*j**5 + 0*j - 1/8*j**3 + 1/8*j**2.
j**2*(j - 1)**2*(j + 1)/8
Let q(c) be the first derivative of -c**4/10 - 2*c**3/5 - 2*c**2/5 + 5. Determine z, given that q(z) = 0.
-2, -1, 0
Let g(z) be the second derivative of -2*z**6/15 + z**5/5 + z**4/3 - 2*z**3/3 - 9*z. Find y such that g(y) = 0.
-1, 0, 1
Let f(g) = 9*g**4 - 3*g**3 + 5*g - 5. Let o(c) = -8*c**4 + 4*c**3 - 4*c + 4. Let p(l) = -4*f(l) - 5*o(l). Let p(a) = 0. Calculate a.
0, 2
Suppose 2*y - 5*i = -16, -10 = -3*y - i - 0*i. Let 5*c**3 + c**y - c**3 + c**4 + 0*c**2 - 2*c**3 = 0. Calculate c.
-1, 0
Let n = 7/12 + 3/4. Factor -n*a - 2/3*a**2 + 0.
-2*a*(a + 2)/3
Factor 2*r**3 - 3*r**2 + 5*r**2 - 2 + 1 - 2*r - 1.
2*(r - 1)*(r + 1)**2
Let j(l) = -l**2 + 2*l + 18. Let o be j(-3). Factor p**2 - 1/2*p**o + 0 - 1/2*p.
-p*(p - 1)**2/2
Let d(m) be the second derivative of m**5/180 - m**3/18 + m**2/2 - 7*m. Let f(i) be the first derivative of d(i). Factor f(n).
(n - 1)*(n + 1)/3
Factor 6*w**3 + 13*w**3 + 4*w - 3*w**3 + 4*w**3 + 18*w**2.
2*w*(2*w + 1)*(5*w + 2)
Let y = -17 - -20. Let s(d) be the second derivative of 1/70*d**5 + 0*d**y - d + 0*d**4 + 0 + 0*d**2. Determine q, given that s(q) = 0.
0
Let t(n) be the second derivative of 0 + 1/40*n**6 + 0*n**4 + 0*n**3 + 4*n + 3/80*n**5 + 0*n**2. Determine q, given that t(q) = 0.
-1, 0
Suppose -20/3*o + 8*o**2 - 4*o**3 + 2/3*o**4 + 2 = 0. Calculate o.
1, 3
Let t = -113/10 - -137/10. Factor -2/5*b**4 + t*b**3 + 24/5*b - 8/5 - 26/5*b**2.
-2*(b - 2)**2*(b - 1)**2/5
Let x(t) = t**2 + t - 1. Let a(j) = j**4 + 2*j**3 + 3*j**2 + j - 4. Suppose 3*g + 6 = g. Let z(y) = g*x(y) + a(y). Suppose z(u) = 0. Calculate u.
-1, 1
Let a be (1184/(-168) - -7)/((-2)/12). Solve -a - 2/7*w + 2/7*w**3 + 2/7*w**2 = 0 for w.
-1, 1
Let f(o) = o + 4. Let p be f(-7). Let j = 6 + p. Factor -2*y**j - y**4 - y**4 + 4*y**3.
-2*y**3*(y - 1)
Let p(d) be the third derivative of d**8/3360 + d**7/315 + d**6/72 + d**5/30 - d**4/12 + 6*d**2. Let a(w) be the second derivative of p(w). Factor a(t).
2*(t + 1)**2*(t + 2)
Suppose -5*q = -4*q + 10. Let b = -1 - q. Factor -b*u**2 - 3/2 - 3/2*u**4 - 6*u**3 - 6*u.
-3*(u + 1)**4/2
Let o(x) be the second derivative of -15*x**5/4 + 5*x**4 - 2*x**3 + 10*x. Solve o(k) = 0.
0, 2/5
Factor 0 - 1/5*h**5 + 0*h**2 + 0*h - 36/5*h**3 + 12/5*h**4.
-h**3*(h - 6)**2/5
Let q(w) be the third derivative of w**9/15120 + w**8/2016 + w**7/2520 - w**6/180 - w**5/60 - 2*w**2. Let m(n) be the third derivative of q(n). Factor m(j).
2*(j + 1)*(j + 2)*(2*j - 1)
Let n(h) be the second derivative of h**6/1080 - h**4/18 - 7*h**3/6 - 4*h. Let m(a) be the second derivative of n(a). Factor m(f).
(f - 2)*(f + 2)/3
Let d = -179 - -181. Let w(t) be the first derivative of -3 + 0*t - 1/10*t**4 - 2/25*t**5 + 0*t**d + 0*t**3. Factor w(l).
-2*l**3*(l + 1)/5
Let w = 4 + 2. Let s be 2/6 + 16/w. Determine h so that -30*h**s - 15*h - 2*h + 4 - 7*h + 7*h**4 + 43*h**2 = 0.
2/7, 1, 2
Let b(u) = 4*u - 4. Let h be b(5). Suppose t + x - 6 = 0, t + h = 5*t + 2*x. Let 1/3*i**t - 1/3*i + 0 = 0. Calculate i.
0, 1
Let o be (-4)/(-3)*408/16. Let t = o - 34. Factor -y**2 + 1/2*y + t + 1/2*y**3.
y*(y - 1)**2/2
Let n(k) be the first derivative of k**6/1440 + k**5/480 - 4*k**3/3 - 3. Let r(c) be the third derivative of n(c). Factor r(g).
g*(g + 1)/4
Suppose 5*p = k + 3*k + 24, 60 = 5*p + 5*k. Determine g so that g - p - g - 2*g**3 + 6*g**2 = 0.
-1, 2
Determine a, given that 4*a**2 + 15*a**3 + 0*a - 16*a**3 - 6*a + 2 + a = 0.
1, 2
Let i(h) be the third derivative of h**6/480 + h**5/60 + h**4/32 + 2*h**2 + 3. Determine b so that i(b) = 0.
-3, -1, 0
Let q(g) be the first derivative of g**5/10 - 2*g**4 + 15*g**3 - 50*g**2 + 125*g/2 + 36. Factor q(v).
(v - 5)**3*(v - 1)/2
Let w(i) be the second derivative of -7*i**5/5 - 2*i**4/3 - 2*i. Let w(q) = 0. Calculate q.
-2/7, 0
Let m be 1/(-5)*(-230)/69. Factor 0 + m*g**2 + 1/3*g**5 - 2/3*g**4 - 1/3*g + 0*g**3.
g*(g - 1)**3*(g + 1)/3
Let x(z) = 2*z**2 + 2. Let f(r) = 8*r**2 + 9. Suppose -j = -2 - 3. Suppose 0*t = -j*t - 10. Let w(y) = t*f(y) + 9*x(y). What is b in w(b) = 0?
0
Let r(a) be the first derivative of -1/2*a**2 + 6 - 3/2*a + 1/6*a**3. Factor r(k).
(k - 