ose 4*t = -x + 2*x + 9, 3*x + 5*t - 24 = 0. Let u(p) = 7*p**2 + 8*p + 16. Let s(v) = x*u(v) + 4*q(v). Factor s(c).
-3*(c + 2)**2
Suppose -g + 6*g = 15. What is l in -2*l + 2 + 6*l**2 + l**3 - g*l**3 - l - 3*l = 0?
1
Let w = -1 - -3. Factor -3*j**w + 0*j - 27 + 3 - 18*j - 3.
-3*(j + 3)**2
Let t(o) be the third derivative of o**8/784 - o**7/98 + o**6/40 - 3*o**5/140 - o**2 + 48*o. Factor t(h).
3*h**2*(h - 3)*(h - 1)**2/7
Let a(u) be the first derivative of -5*u**6/12 + 7*u**5/2 - 95*u**4/8 + 125*u**3/6 - 20*u**2 + 10*u - 23. Factor a(m).
-5*(m - 2)**2*(m - 1)**3/2
Factor 1/2*b**3 - 27/2 + 27/2*b - 9/2*b**2.
(b - 3)**3/2
Find s, given that -36*s - 3/4*s**3 + 9*s**2 + 48 = 0.
4
Let b = 14 + -10. Let g(k) be the second derivative of 0 - k**3 + 1/10*k**5 - k + 0*k**b - 2*k**2. Factor g(u).
2*(u - 2)*(u + 1)**2
Factor 5*v - 15/2 + 5/2*v**2.
5*(v - 1)*(v + 3)/2
Let i be 3/6*4/3. Solve 1/3*y + 0*y**4 + 0*y**2 - i*y**3 + 1/3*y**5 + 0 = 0 for y.
-1, 0, 1
Let a(m) be the second derivative of 1/20*m**5 + 0 + 0*m**2 + 0*m**3 - m + 1/48*m**4. Let a(g) = 0. Calculate g.
-1/4, 0
Suppose -2/7*y**2 - 6/7*y - 4/7 = 0. What is y?
-2, -1
Let h(u) be the first derivative of 3*u**5/25 + 3*u**4/10 - 2. Suppose h(p) = 0. What is p?
-2, 0
Let j(d) = -d**3 + 12*d**2 - 3*d + 6. Let y be j(12). Let a be (-46)/(-30) + (-4)/y. Suppose 0 + 2/3*q**2 - a*q**3 + q**4 + 0*q = 0. Calculate q.
0, 2/3, 1
Suppose -4*f = -3*m - 14, 4*m = -4*f + f - 2. Let t be -3*(-1)/f*2. Factor -2*s + s**2 + t*s**2 + 1 - 3*s**2.
(s - 1)**2
Suppose -12*m**4 - 2*m**3 - 136*m + 136*m = 0. Calculate m.
-1/6, 0
Suppose 6*f = 7*f. Let d be (-40)/28 - (1 + -3). Factor 2/7*r + f + 2/7*r**3 - d*r**2.
2*r*(r - 1)**2/7
Let s(v) = 6*v**4 + 29*v**3 - 5*v**2. Let o(n) = -3*n**4 - 15*n**3 + 3*n**2. Let f(b) = -5*o(b) - 3*s(b). Factor f(m).
-3*m**3*(m + 4)
Suppose -n + 3 = 0, 5*k - 5*n + 4*n = 12. Factor 5/3*o**2 + 7/3*o**k - 2/3*o + 0.
o*(o + 1)*(7*o - 2)/3
Suppose 62*b + 4*g = 58*b + 16, g = b. Factor 12/7*l - 6/7*l**b - 3/7*l**3 + 24/7.
-3*(l - 2)*(l + 2)**2/7
Factor -17169*d**4 + 2 + 17172*d**4 - 4*d**2 - 2 + d**5.
d**2*(d - 1)*(d + 2)**2
Let p = 22 + -14. Let v be ((-10)/(-4) - 2)*p. Determine d so that -2*d**3 + d**5 + d**4 + v*d**4 + 4*d**2 + 10*d**3 = 0.
-2, -1, 0
Suppose y + 8 = f, -3*y + 0*y + 16 = f. Factor -f*h**2 + 14*h**4 + 18*h**3 + 1 + 3 - 18*h - 8.
2*(h - 1)*(h + 1)**2*(7*h + 2)
Let u(h) be the third derivative of h**4/24 - h**3/2 - h**2. Let y be u(3). Factor 0*m**2 + 1/6*m + y - 1/6*m**3.
-m*(m - 1)*(m + 1)/6
Let a(s) be the third derivative of s**8/112 - s**7/70 - 14*s**2. Factor a(d).
3*d**4*(d - 1)
Suppose -5*n = -0*n. Suppose 5*u - 15 = 5*b - n*b, 0 = 4*u - 12. Let 2/3*d**3 - 2/9*d - 4/9*d**2 + b = 0. What is d?
-1/3, 0, 1
Let a = -2/209 - -846/1045. Let b = -1 - -1. Factor b - a*y + 2*y**2.
2*y*(5*y - 2)/5
Suppose -u + 5*h - 7 = 0, -4*u = -6*u + 5*h - 4. Factor -3*q**u + 3/2*q**4 - 3/2 + 3*q + 0*q**2.
3*(q - 1)**3*(q + 1)/2
Factor 59 - 4*b**3 + 72*b + 104*b + 5 + 172*b**2 + 77*b**3 + 14*b**4 + b**5.
(b + 1)**2*(b + 4)**3
Let b(o) be the third derivative of -1/30*o**6 + 2*o**2 + 1/105*o**7 + 0*o**3 + 1/6*o**4 + 0 + 0*o - 1/30*o**5. Factor b(f).
2*f*(f - 2)*(f - 1)*(f + 1)
Let p(s) be the third derivative of -s**5/150 + s**4/30 - s**3/15 + 7*s**2. Factor p(b).
-2*(b - 1)**2/5
Let r be 10/4 + 6/(-12). Solve -2*w**2 - 1/2*w + 1/2*w**3 + 0 + r*w**4 = 0.
-1, -1/4, 0, 1
Let r(o) be the first derivative of -o**7/21 + o**5/5 - o**3/3 - o + 2. Let z(h) be the first derivative of r(h). Factor z(p).
-2*p*(p - 1)**2*(p + 1)**2
Factor -251*z**2 - 255*z**2 + 494*z**2 - 3*z**5 - 6*z**4 + 21*z**3.
-3*z**2*(z - 1)**2*(z + 4)
Let q = 587742160681/7785 + -75496744. Let v = q + 1/865. Let -4/9*k**3 + 2/3*k**5 + 0 + 0*k + 0*k**2 - v*k**4 = 0. Calculate k.
-1/3, 0, 2
Let u(w) = w**3 - 5*w**2 - 3*w - 7. Let n be (2/(-3))/(8/(-60)). Let t(r) = -r**2 - 1. Let z(d) = n*t(d) - u(d). Factor z(p).
-(p - 2)*(p + 1)**2
Let c(g) be the third derivative of -g**8/840 + g**7/140 - g**6/90 + g**3/6 + 2*g**2. Let m(r) be the first derivative of c(r). Find b, given that m(b) = 0.
0, 1, 2
Let m be 32/6 - 4/12. Let g be (1 - 3)*(-56)/98. Let 18/7*k - 20/7*k**2 - 4/7 + 24/7*k**4 - 10/7*k**m - g*k**3 = 0. What is k?
-1, 2/5, 1
Let l = -85/7 + 13. Factor 4/7 - l*y + 2/7*y**2.
2*(y - 2)*(y - 1)/7
Let j(y) be the first derivative of 2 + 1/6*y**2 + 2/9*y**3 - 2*y + 1/12*y**4. Let x(b) be the first derivative of j(b). Factor x(w).
(w + 1)*(3*w + 1)/3
Let z(o) be the first derivative of o**4/4 + o**3/3 - o**2/2 - o - 4. Let k(y) = -6*y**5 + 8*y**4 - 6*y**2 + 2*y + 2. Let l(t) = k(t) + 2*z(t). Factor l(a).
-2*a**2*(a - 1)**2*(3*a + 2)
Let p(s) be the third derivative of -s**6/1440 - s**5/480 - s**3 + 2*s**2. Let j(x) be the first derivative of p(x). Let j(q) = 0. What is q?
-1, 0
Let y(n) = -n**2 + n - 1. Let a(t) = -8*t**2 + 5*t - 9. Let x(w) = 4*a(w) - 36*y(w). Solve x(q) = 0 for q.
0, 4
Let y(d) be the second derivative of d**7/168 - d**5/80 - 8*d. Find w such that y(w) = 0.
-1, 0, 1
Let a = -2/9 + 4/9. Find z such that -a*z**3 + 4/3*z**2 + 16/9 - 8/3*z = 0.
2
Factor 2/3*p**2 + 0*p + 0.
2*p**2/3
Let s(i) be the third derivative of -i**8/84 + 2*i**7/35 - 4*i**5/15 - 3*i**2. What is n in s(n) = 0?
-1, 0, 2
Let o(m) be the third derivative of -m**6/540 + m**4/108 + 2*m**2. Factor o(j).
-2*j*(j - 1)*(j + 1)/9
Factor 1/2 + s + 1/2*s**2.
(s + 1)**2/2
Factor 24*p**3 - 33*p**3 + 9*p - 3*p + 3*p**2.
-3*p*(p - 1)*(3*p + 2)
Let i(a) = a**2. Let s(v) = -v**3 + 4*v**2 - 3*v + 1. Let l(j) = -i(j) + s(j). Factor l(f).
-(f - 1)**3
Let a(l) be the second derivative of l**7/420 + l**6/120 - l**4/24 - l**3/12 - l**2/2 - 3*l. Let k(h) be the first derivative of a(h). Factor k(o).
(o - 1)*(o + 1)**3/2
Let j be 6/6*(6 - 1). Suppose u - 5*b + 2*b - 15 = 0, -3*b - 15 = j*u. Let u*x**2 - 3/5*x**4 + 0*x + 0 + 0*x**3 = 0. Calculate x.
0
Solve 2/3*p**5 - 2*p**3 - 8/3*p**2 + 8/3*p + 0 + 4/3*p**4 = 0 for p.
-2, 0, 1
Let x be (-3)/(3 - 0)*-1. Let d(r) be the first derivative of -r**4 + 0*r + 0*r**2 + x + 2/5*r**5 + 2/3*r**3. Determine q so that d(q) = 0.
0, 1
Let p(v) be the second derivative of -2*v**7/21 - 4*v**6/15 + 2*v**4/3 + 2*v**3/3 - 6*v. Determine s so that p(s) = 0.
-1, 0, 1
Let y(x) be the second derivative of -x**7/5040 + x**6/720 - x**5/240 - x**4/4 - 2*x. Let h(z) be the third derivative of y(z). What is n in h(n) = 0?
1
Let u = -47 + 145/3. Determine x, given that u*x + 0 - 4/3*x**2 + 1/3*x**3 = 0.
0, 2
Factor 0*x - 2/15*x**4 + 0*x**2 + 0*x**3 + 0.
-2*x**4/15
Let x(p) be the second derivative of -p**8/7560 - p**7/3780 + p**6/1620 + p**5/540 + p**3/2 + 3*p. Let i(b) be the second derivative of x(b). Factor i(s).
-2*s*(s - 1)*(s + 1)**2/9
Let j(w) = 2*w**3 - 6*w**2 - 2*w + 6. Let t(f) = -2*f**3 + 5*f**2 + 2*f - 5. Let h(l) = 3*j(l) + 4*t(l). Factor h(y).
-2*(y - 1)**2*(y + 1)
Factor -18*h - 4*h**2 + 4*h**2 - 12*h**2 - 3*h**3 + 6*h.
-3*h*(h + 2)**2
Let c(f) be the second derivative of 0 + 0*f**3 - 1/20*f**5 - 1/4*f**4 - 4*f + 2*f**2. Factor c(b).
-(b - 1)*(b + 2)**2
Let u(v) be the third derivative of -v**6/480 - v**5/20 - v**4/2 - 8*v**3/3 - 10*v**2. Suppose u(y) = 0. What is y?
-4
Let k(m) = -3*m**2 + 27*m + 26. Let i(o) = -15*o**2 + 135*o + 129. Let r(s) = -4*i(s) + 21*k(s). Suppose r(b) = 0. What is b?
-1, 10
Suppose 3 = -3*n - 3*q, -3*n - 8 = q + 3*q. Suppose -3*s**n + 0*s**4 - 8*s**3 - 3*s**4 + 2*s**4 = 0. Calculate s.
-2, 0
Let y be ((-1)/(16/(-4)))/((-3)/(-32)). Determine r, given that 2*r**2 + 0 + y*r**3 - 2/3*r = 0.
-1, 0, 1/4
Let v(w) be the second derivative of 1/3*w**3 + 1/18*w**4 + 0 + 5*w + 0*w**2. Factor v(m).
2*m*(m + 3)/3
Suppose -3*v = 5*q - 49, q = -0*q + 5. Let 8*w - 2*w**2 + v*w**2 - 4 - 2*w - 2*w**2 = 0. What is w?
-2, 1/2
Suppose 7*q = 3*q + s + 13, s = -1. Find v such that -q*v**2 + 2*v**2 - 1 + 0*v - v - v = 0.
-1
Suppose z - 2*z = -3. Let s(u) be the third derivative of -1/24*u**z - 1/48*u**4 + 0*u + 0 - 1/240*u**5 - u**2. Factor s(w).
-(w + 1)**2/4
Let -1/7*h**2 + 0 + 4/7*h = 0. What is h?
0, 4
Let n(a) be the third derivative of a**6/420 - 2*a**5/105 + a**4/21 - 9*a**2. Solve n(l) = 0 for l.
0, 2
Let c = -52879/15 + 3524. Let i = c + 223/105. Solve 2/7*p**4 + i*p**2 - 6/7*p**3 - 2/7*p + 0 = 0.
0, 1
Let c(f) be the second d