 1)**2*(f + 1)**2/7
Let u(b) = -4*b**2 + 2*b + 1. Let a(k) = 5*k**2 - 2*k - 1. Suppose -7 = -2*y - v + 3, 2*y + 4*v = 10. Let z(r) = y*a(r) + 6*u(r). Solve z(x) = 0.
-1
Suppose -5 - 3 = -h. Suppose -3*w = w - h. Suppose 2*a - a**2 + 2*a - a**2 - w = 0. What is a?
1
Let f(g) be the third derivative of 0*g**5 + 1/4*g**3 + 3*g**2 - 1/160*g**6 + 0*g + 0 + 3/32*g**4. Factor f(p).
-3*(p - 2)*(p + 1)**2/4
Let g(u) be the second derivative of u**4/3 - 2*u**3/3 + 14*u. Factor g(t).
4*t*(t - 1)
Let h(m) = -m**2 + 1. Let j(g) = -5*g - 1. Let l(t) = h(t) + j(t). Factor l(k).
-k*(k + 5)
Let o(n) = -3*n**3 - 9*n**2 - 6*n. Let r(p) = -7*p**3 - 19*p**2 - 13*p. Let x(c) = -13*o(c) + 6*r(c). Factor x(w).
-3*w**2*(w - 1)
Suppose 4*j - 5*l - 23 = 0, 4*j = -4*l - 7 + 3. Let 0*f - 2/3*f**4 + 0 - 2/3*f**3 + 2/3*f**j + 2/3*f**5 = 0. Calculate f.
-1, 0, 1
Let k = -2938/5 + 588. Factor -k*a**3 - 2/5*a**2 + 0 + 0*a.
-2*a**2*(a + 1)/5
Let l(i) = -34*i**5 + 40*i**4 - 20*i**3. Let z(w) = 7*w**5 - 8*w**4 + 4*w**3. Let v(t) = -3*l(t) - 14*z(t). Factor v(x).
4*x**3*(x - 1)**2
Factor 1/4*p - 1/2 + 1/4*p**2.
(p - 1)*(p + 2)/4
Let c be (15/(-6) - -3)*0. Suppose 3*y + c = -2*q + 5, 3*q - 7 = -5*y. Find z such that 6*z**q + z**3 - 12*z**3 + 21*z**4 - 22*z**3 + 6*z**2 = 0.
0, 2/9, 1
Let a(n) be the second derivative of -n**3/6 + n**2 + 2*n. Let y be a(-2). What is f in f**4 + 0*f**4 + 3*f**2 - f**3 - y*f**2 + f = 0?
-1, 0, 1
Let f(i) be the second derivative of 2*i - 1/4*i**4 + 3/4*i**2 + 0*i**5 + 1/20*i**6 + 0 + 0*i**3. Factor f(m).
3*(m - 1)**2*(m + 1)**2/2
Suppose 3*p + 6 = 3*k, -p - 4 = -2*k + 1. Let l = k - 3. Factor 2/9*v**2 + l + 2/9*v.
2*v*(v + 1)/9
Let x(b) be the third derivative of -b**8/504 - 4*b**7/315 - b**6/60 + 2*b**5/45 + b**4/9 - 4*b**2. Let x(s) = 0. Calculate s.
-2, -1, 0, 1
Let o(c) be the second derivative of -5*c**4/12 + 5*c**3/3 - 5*c**2/2 - 21*c. Let o(g) = 0. Calculate g.
1
Let v = -5 + 5. Let g(j) = -j + 2. Let s be g(v). Factor 3*w**2 - 2*w + w**2 - s*w**3 + 0*w**3.
-2*w*(w - 1)**2
Let c(n) be the second derivative of -n**5/240 - n**4/48 - n**3/24 - 3*n**2/2 + 6*n. Let t(z) be the first derivative of c(z). Let t(i) = 0. What is i?
-1
Let r be (-1)/5*0*(-3)/(-6). Factor -2/5*m**3 + 0*m + 0 + r*m**2.
-2*m**3/5
Let y(d) be the third derivative of -d**8/168 - 3*d**7/350 + d**6/200 + d**5/150 - d**2. Suppose y(t) = 0. What is t?
-1, -2/5, 0, 1/2
Let w = 2/219 + 48/73. Factor 1/3*k**5 - 2/3*k**2 - 4/3*k**3 + w + 0*k**4 + k.
(k - 2)*(k - 1)*(k + 1)**3/3
Suppose -5*m + 14 + 7 = b, -4*m - 2*b + 18 = 0. Solve 0 - 6 - 2*g + m + 2*g**2 + 2*g**3 = 0 for g.
-1, 1
Let u = 19 - 16. Let t(l) be the second derivative of 0 - 4/13*l**2 + 1/26*l**4 + 1/130*l**5 - l + 0*l**u. Factor t(m).
2*(m - 1)*(m + 2)**2/13
Let h = -6 - -15. Let m = h + -8. Determine v so that 2*v**2 + 2*v**3 - v + 3*v - 3*v**4 + m - v**5 - 5*v + 2*v**5 = 0.
-1, 1
Let d(p) be the second derivative of -p**9/37800 + p**8/16800 + p**7/6300 - p**6/1800 + p**4/12 + 3*p. Let i(a) be the third derivative of d(a). Solve i(l) = 0.
-1, 0, 1
Suppose 0 = -5*v + 9*v - 8. Suppose -6 = -h - v*h. Suppose -2/5*y**3 + 0*y + 2/5*y**h + 0 = 0. Calculate y.
0, 1
Suppose -9 + 1 = -4*j. Let 10*f**4 + 4*f**5 + 16*f**3 + 8*f**j - 10*f**5 + 8*f**5 = 0. Calculate f.
-2, -1, 0
Let w be ((-8)/10)/(18/(-45)). Let k(d) be the third derivative of 1/12*d**4 + 0*d**3 - 3/40*d**6 + 2*d**w + 0*d + 7/60*d**5 + 0. Factor k(j).
-j*(j - 1)*(9*j + 2)
Suppose 51 = -2*t + 55. Solve -3/2*q**5 - 3/4 - 3/4*q**4 - 3/2*q + 3*q**3 + 3/2*q**t = 0.
-1, -1/2, 1
Suppose 18 = -0*p + 2*p + 3*a, -4*a + 59 = 5*p. Let q = -13 + p. Solve -1/2*u**4 + 0 + 0*u + 1/4*u**q + 1/4*u**3 = 0 for u.
-1/2, 0, 1
Suppose 3*g = 5*g - 4. Factor 6 + 2*s**g + 2*s - 2 - 4.
2*s*(s + 1)
Let v(r) = 9*r**3 - 9*r**2 - r + 5. Let n(p) = -19*p**3 + 19*p**2 + p - 10. Let m(t) = -4*n(t) - 9*v(t). Suppose m(j) = 0. What is j?
-1, 1
Let o be 2*(-1)/240*(4 + -5). Let k(x) be the third derivative of -1/72*x**4 - 1/720*x**6 - 3*x**2 + 0 + 0*x + o*x**5 + 0*x**3. Factor k(s).
-s*(s - 2)*(s - 1)/6
Let i(x) be the second derivative of -1/4*x**4 + x - 9/2*x**2 - 2*x**3 + 0. Factor i(k).
-3*(k + 1)*(k + 3)
Find k such that -39*k**2 - 9*k**2 + 23*k + 53 - 49 + 3*k = 0.
-1/8, 2/3
Factor 1/2 + 0*u**2 + 3/4*u - 1/4*u**3.
-(u - 2)*(u + 1)**2/4
Factor -20/3*n**3 + 4/3*n - 8/3*n**4 - 4*n**2 + 4/3.
-4*(n + 1)**3*(2*n - 1)/3
Let b = 2154/5 - 430. Suppose 2/5*f**4 - 2/5 + 0*f**2 + b*f**3 - 4/5*f = 0. What is f?
-1, 1
Let l = -2403 - -16848/7. What is t in 0*t + 0*t**4 - l*t**5 + 12/7*t**3 + 0 + 0*t**2 = 0?
-2/3, 0, 2/3
Factor 2/11*s**2 + 0 - 10/11*s.
2*s*(s - 5)/11
Suppose 5*d - 2*d - 6 = 3*p, 4*p = -d - 23. Let l be 2 - (-1 + d + 3). Suppose -3 + l - 2*h**2 + 2 = 0. What is h?
-1, 1
Let g = -55 - -60. Let k(b) be the second derivative of -1/25*b**g + 0 - 1/10*b**2 - 1/10*b**4 + 2*b - 2/15*b**3 - 1/150*b**6. Solve k(l) = 0.
-1
Suppose -2 = 4*i - 14. Let h(v) be the first derivative of -2/15*v**i + 1/10*v**2 + 0*v - 2 + 1/20*v**4. Factor h(x).
x*(x - 1)**2/5
Let n(u) = u**2 - u + 9. Let z be n(0). Let f be 1/(-3) + 6/z. Solve 0 + 0*t + 2/3*t**4 - f*t**2 - 1/3*t**3 = 0 for t.
-1/2, 0, 1
Factor 6*c + 4 + 3 + 2 - 12*c**2 - 6*c**3 + 3*c**4.
3*(c - 3)*(c - 1)*(c + 1)**2
Suppose -y - 5 = -2*t, -6*t + 5*t - 4*y + 7 = 0. Suppose 1 + 5 = t*f. Determine o so that o**3 - f*o**3 + 0*o**4 + o**5 - o**4 + o**2 = 0.
-1, 0, 1
Factor 30*u**2 + 175/2*u + 375/4 + 1/4*u**4 + 9/2*u**3.
(u + 3)*(u + 5)**3/4
Let g(d) be the first derivative of -d**7/105 - d**6/30 - d**5/30 + d**2 + 1. Let w(v) be the second derivative of g(v). Find q, given that w(q) = 0.
-1, 0
Let q be 14/(-56)*(0 - 6). Suppose -3/4*r + 0 - 3/4*r**3 - q*r**2 = 0. What is r?
-1, 0
Let i(c) be the third derivative of 0*c**4 - 1/40*c**6 + c**2 + 0 + 0*c - 1/70*c**7 + 0*c**3 + 1/10*c**5. Factor i(y).
-3*y**2*(y - 1)*(y + 2)
Suppose -h = -3*x + 15, h + 4*x = x + 15. Factor h - 2/9*z**3 - 4/9*z**2 + 0*z.
-2*z**2*(z + 2)/9
Let p(c) = 15 - 21*c**2 - 15 - 21*c. Let q(x) = 6*x**2 + 6*x. Let t(h) = 5*p(h) + 18*q(h). Solve t(f) = 0.
-1, 0
Suppose 4*a + 60 = -a. Let i be 3*-4*2/a. Find l such that 0*l**i + 2/7*l + 0 - 2/7*l**3 = 0.
-1, 0, 1
Let z(u) = u**2 - 14*u - 47. Let b be z(17). Let h(o) be the third derivative of 0*o + 0*o**4 + 0 - 1/120*o**6 + 0*o**3 + 1/60*o**5 + b*o**2. Factor h(c).
-c**2*(c - 1)
Find c, given that 0*c**2 + 0 - 3/5*c + 3/5*c**3 = 0.
-1, 0, 1
Let b(t) be the second derivative of t**7/14 - 3*t**5/10 + t**3/2 + 6*t. Suppose b(f) = 0. Calculate f.
-1, 0, 1
Let w = -15 - -18. Let w*c**2 + 1/3*c**4 - 5/3*c**3 + 2/3 - 7/3*c = 0. Calculate c.
1, 2
Let f(x) be the second derivative of x**6/45 + 11*x**5/120 - x**4/24 + 7*x. Factor f(m).
m**2*(m + 3)*(4*m - 1)/6
Let l(h) be the third derivative of -2/33*h**3 + h**2 + 0*h - 1/44*h**4 + 0 - 1/330*h**5. Factor l(j).
-2*(j + 1)*(j + 2)/11
Let l(j) be the third derivative of -j**6/120 + j**4/24 + 6*j**2. Factor l(p).
-p*(p - 1)*(p + 1)
Let t = 57/4 + -14. Let r(u) be the first derivative of 2 - 3/8*u**2 - 7/6*u**3 + 3/5*u**5 + 7/24*u**6 - t*u**4 + 1/2*u. Let r(x) = 0. Calculate x.
-1, 2/7, 1
Let d(f) be the second derivative of -1/36*f**4 - f + 0 + 0*f**2 - 1/18*f**3. Factor d(p).
-p*(p + 1)/3
Suppose 8/3*r**4 - 16/3*r + 18*r**2 - 8/3 - 38/3*r**3 = 0. Calculate r.
-1/4, 1, 2
Let m(k) be the second derivative of -k**4/16 + k**3/2 - 3*k**2/2 + 26*k. Factor m(n).
-3*(n - 2)**2/4
Factor -7*s**2 + s + s**3 + 4 - 2*s - 3 + 6*s**2.
(s - 1)**2*(s + 1)
Let z be (-5)/(-35)*1*2. Factor -4/7*i**3 + 0 - 2/7*i**2 + z*i**4 + 4/7*i.
2*i*(i - 2)*(i - 1)*(i + 1)/7
Let l(n) = 6*n**3 - 3*n**2 - 12*n. Let b(z) = -11*z**3 + 5*z**2 + 24*z. Let g(y) = -3*b(y) - 5*l(y). Factor g(r).
3*r*(r - 2)*(r + 2)
Let s(x) be the second derivative of -x**4/12 + x**2/2 - 23*x. Factor s(p).
-(p - 1)*(p + 1)
Factor 2/7*h**3 - 4/7*h**2 - 2/7*h + 4/7.
2*(h - 2)*(h - 1)*(h + 1)/7
Let w(x) be the third derivative of x**7/11340 + x**6/1080 + x**5/270 - x**4/4 + 4*x**2. Let j(a) be the second derivative of w(a). Factor j(c).
2*(c + 1)*(c + 2)/9
Factor -d**2 + 0*d**3 + 3 + 2*d**3 + 2*d**4 - 5*d**2 + 1 - 2*d.
2*(d - 1)**2*(d + 1)*(d + 2)
Let o(a) = 3*a**2 + 2*a + 3. Let q be o(-3). Suppose 4*j + 8 = q. Factor -11*k**2 + 11*k**2 - 2*k**j + k**3.
-k**3*(2*k - 1