*(m - 3)/11
Let k(t) be the third derivative of -t**8/336 + t**7/210 + t**6/40 - t**5/12 + t**4/12 - 6*t**2. Factor k(b).
-b*(b - 1)**3*(b + 2)
Suppose 2*r - 20 - 32 = 0. Suppose 5*k - 24 = r. Factor -w + 4 + k*w**2 + 0 + 4*w + 11*w.
2*(w + 1)*(5*w + 2)
Let b = -28 + 109. What is v in 27*v**2 - 3*v**3 + 18 + 63 - 6*v**3 + 6*v**3 - b*v = 0?
3
Let b(n) be the third derivative of n**7/525 - n**6/100 + n**5/50 - n**4/60 + 50*n**2. Factor b(u).
2*u*(u - 1)**3/5
Let j(y) be the second derivative of -y**4/18 + 2*y**3/3 - 3*y**2 - 8*y. Let j(a) = 0. What is a?
3
Let r(y) be the second derivative of -2*y**5/15 - 7*y**4/18 - 2*y**3/9 + y**2/3 + 3*y. Find q, given that r(q) = 0.
-1, 1/4
Determine n, given that 10*n + 2*n - 4*n**3 - 17*n + 4*n**2 + 13*n = 0.
-1, 0, 2
Let f = 511/26424 + -2/367. Let d(o) be the third derivative of f*o**4 + 1/120*o**5 + 0*o - 1/36*o**3 + 0 + 2*o**2. Find b, given that d(b) = 0.
-1, 1/3
Let y(q) be the first derivative of q**6/6 - q**5/5 - 3*q**4/2 + 14*q**3/3 - 11*q**2/2 + 3*q - 12. Find p such that y(p) = 0.
-3, 1
Suppose 4 = -2*k - 0*k, -3*c = 4*k + 8. Find q such that c - 1/4*q**3 + 0*q + 0*q**2 = 0.
0
Let s(v) be the second derivative of v**6/50 - 3*v**5/50 - v**4/20 + v**3/5 + 5*v. Find f, given that s(f) = 0.
-1, 0, 1, 2
Let r be (18/(-108))/(4/114) + 5. Factor 0 - 1/2*l**2 + 0*l - r*l**3.
-l**2*(l + 2)/4
Let i = 4 - 0. Suppose -y = -5*m + i, 5*m = -4*y - 2 - 14. Factor -1/3*h**2 + m - 1/3*h.
-h*(h + 1)/3
Let q be (-11)/11*(1 + 0). Let u(t) = -t**2 + t - 1. Let z(r) = -15*r**2 - 6*r - 9. Let l(h) = q*z(h) + 6*u(h). Factor l(i).
3*(i + 1)*(3*i + 1)
Let s = -4 - -4. Suppose -3*c + 7 = -5*w, -4*c = w - 5*w - 12. Factor -2*b**3 + b**c + s*b**4 + 2*b**4.
b**3*(3*b - 2)
Let w = -6 + 11. Suppose 4*n - 14 = -3*v, 4 = -0*v - 3*v + w*n. Solve 0*c**2 + 0*c**2 + 2 - v*c**2 + 0 = 0.
-1, 1
Let g(p) be the second derivative of -3*p**5/20 - 5*p**4/4 - 4*p**3 - 6*p**2 + 2*p. Factor g(w).
-3*(w + 1)*(w + 2)**2
Factor 4/3*s**2 - 8/3*s + 4/3.
4*(s - 1)**2/3
Let j(v) be the first derivative of -v**4/10 - 14*v**3/15 - 8*v**2/5 + 32*v/5 - 7. Find t such that j(t) = 0.
-4, 1
Let d(p) = -p**3 - 11*p**2 - 18*p. Let f be d(-9). Solve -2/3*c + f - 2/3*c**4 + 2/3*c**2 + 2/3*c**3 = 0 for c.
-1, 0, 1
Let d(m) be the first derivative of 0*m**2 - 7*m**4 - 4/3*m**3 + 0*m - 6. Factor d(u).
-4*u**2*(7*u + 1)
Let z(h) = h**3 + h**2 - 1. Suppose 10 = 7*x - 6*x. Let i(m) = m - m - 5 + 5*m**2 + 4*m**3. Let r(b) = x*z(b) - 2*i(b). Factor r(j).
2*j**3
Let 26*z**2 + 14*z**3 - 7*z**3 + z**3 + 6*z = 0. Calculate z.
-3, -1/4, 0
Suppose 10 = 5*b - 0*j - 5*j, -j - 2 = b. Suppose -2*g + 6 = -b. Factor 7*l + 1 + g*l**2 - 3*l - l + l**3.
(l + 1)**3
Let k(b) be the first derivative of -b**7/588 + b**6/180 - b**5/210 + b**3 - 4. Let p(h) be the third derivative of k(h). Find g, given that p(g) = 0.
0, 2/5, 1
Let t(p) be the third derivative of -p**10/100800 - p**9/13440 - p**8/6720 + p**5/30 + 2*p**2. Let m(h) be the third derivative of t(h). Factor m(v).
-3*v**2*(v + 1)*(v + 2)/2
Let q be ((-12)/(-10))/((-1)/(-5)). Let g(y) be the first derivative of 14/5*y**5 + q*y**4 - 2*y**2 + 2*y**3 + 2 + 0*y. Factor g(x).
2*x*(x + 1)**2*(7*x - 2)
Let n(w) be the first derivative of -1/50*w**6 + 0*w**2 + 0*w**5 - 3*w + 0*w**3 + 0*w**4 - 3 + 1/70*w**7. Let a(d) be the first derivative of n(d). Factor a(c).
3*c**4*(c - 1)/5
Let n = 0 + -3. Let f(w) = -3*w**2 + 6*w - 6. Let h(s) = 1. Let v(k) = -k - 2. Let o(d) = -2*h(d) - v(d). Let q(l) = n*o(l) - f(l). Factor q(c).
3*(c - 2)*(c - 1)
Let j(m) = -5*m**2 - 8*m + 7. Let l be (-1 - 0)/((-2)/(-4)). Let z(r) = 66*r**2 + 105*r - 90. Let v(x) = l*z(x) - 27*j(x). Determine a, given that v(a) = 0.
-3, 1
Solve t**2 + 3*t**3 + 3*t**2 + 6*t - 3*t**2 - 10*t**2 = 0 for t.
0, 1, 2
Let b(c) be the third derivative of 0*c**4 + 0 + 0*c**3 + 0*c - 1/20*c**5 + 1/40*c**6 + 4*c**2. Solve b(q) = 0 for q.
0, 1
Let m(b) be the third derivative of -b**8/480 + b**7/630 - b**4/8 - 4*b**2. Let n(a) be the second derivative of m(a). Suppose n(k) = 0. Calculate k.
0, 2/7
Determine z, given that -z**4 + 16*z**3 + 24 + 2*z**4 + 12 + 3*z**4 - 48*z - 8*z**2 = 0.
-3, 1
Let r(z) be the third derivative of -z**6/150 - z**5/200 + 3*z**3/2 + 9*z**2. Let o(l) be the first derivative of r(l). Factor o(k).
-3*k*(4*k + 1)/5
Let h be (-18)/81 + (-20)/(-9). Suppose -q - h = -5. Find l, given that 0 - 56/5*l**2 + 98/5*l**q + 8/5*l = 0.
0, 2/7
Let w = -6 + 6. Let 2/11*k**3 - 4/11*k**4 + 0 + w*k + 0*k**2 + 2/11*k**5 = 0. Calculate k.
0, 1
Let g(m) be the second derivative of -m**4/2 - m**3/2 - 13*m. Factor g(h).
-3*h*(2*h + 1)
Let o = -2933/4 - -734. Suppose 0*g**3 + o*g**4 + 0*g - 3/2*g**2 + 3/4 = 0. What is g?
-1, 1
Suppose 2*f - 2*m - 6 = m, -5*f + 2 = -m. Let x(c) be the first derivative of 1/4*c**2 + f*c + 2 + 1/8*c**4 - 1/3*c**3. Factor x(d).
d*(d - 1)**2/2
Let i(v) be the first derivative of -8/3*v - 4 - 4/3*v**2 - 2/9*v**3. Find d such that i(d) = 0.
-2
Let r(i) be the second derivative of i**5/90 + i**4/27 + 4*i. Solve r(u) = 0.
-2, 0
Factor -2*h**4 - 3*h - 2 + h**3 + 22*h**2 + 4*h + 0*h**3 - 16*h**2.
-(h - 2)*(h + 1)**2*(2*h - 1)
Let t(z) be the third derivative of z**7/1155 + z**6/220 + z**5/110 + z**4/132 + 22*z**2. Factor t(m).
2*m*(m + 1)**3/11
Let g be 1*-4*(-1 - 20/(-24)). Factor 2/3*z**3 + 2/3*z**2 - 2/3 - g*z.
2*(z - 1)*(z + 1)**2/3
Let v(o) be the second derivative of o**7/8820 - o**6/1260 + o**5/420 + o**4/12 - o. Let z(x) be the third derivative of v(x). Factor z(l).
2*(l - 1)**2/7
Let s(o) be the first derivative of -126*o**5/5 + 87*o**4/2 + 508*o**3/3 + 148*o**2 + 48*o - 10. Solve s(a) = 0 for a.
-2/3, -2/7, 3
Let h be (-4)/(-4 - 3/(-1)). Factor h*v + 2*v**2 - 2*v**2 - 2*v**2 - 2.
-2*(v - 1)**2
Factor 2/11*h + 0 + 6/11*h**2 + 2/11*h**4 + 6/11*h**3.
2*h*(h + 1)**3/11
Let f(h) be the third derivative of -h**7/2520 + h**6/240 - h**4/12 + 6*h**2. Let k(t) be the second derivative of f(t). Factor k(a).
-a*(a - 3)
Suppose -30 - 8*j**2 + 15*j**3 - 12*j**2 + 41*j - 51*j - 55*j = 0. What is j?
-1, -2/3, 3
Let b(z) be the first derivative of -z**6/16 + 3*z**5/40 + 3*z**4/32 - z**3/8 + 10. Factor b(j).
-3*j**2*(j - 1)**2*(j + 1)/8
Let x(l) = -25*l**2 + 23*l - 15. Let i(b) = -3*b**2 + 3*b - 2. Let j(o) = 51*i(o) - 6*x(o). Factor j(t).
-3*(t - 4)*(t - 1)
Suppose 2/3 - 10/3*y + 10/3*y**3 + 2*y**2 - 8/3*y**4 = 0. What is y?
-1, 1/4, 1
Let u(l) be the second derivative of l**6/3 + 4*l**5/5 - 3*l**4/2 - 8*l**3/3 + 4*l**2 - 8*l. Solve u(f) = 0.
-2, -1, 2/5, 1
Let l(c) = 5*c**3 + 15*c**2 - 10*c - 10. Let z(q) = -q + 1. Let s(g) = -l(g) - 10*z(g). Factor s(n).
-5*n*(n - 1)*(n + 4)
Let x(b) be the third derivative of 2/315*b**7 + 2*b**2 + 0*b - 1/18*b**3 - 1/60*b**5 + 0 - 5/72*b**4 + 1/72*b**6. Factor x(j).
(j - 1)*(j + 1)**2*(4*j + 1)/3
Suppose -11 = -2*v - j, -2*v - 3 = -5*j + 4. Let y(g) be the first derivative of 1 - g**6 + 16/5*g**5 + 0*g**3 + 0*g + g**2 - 3*g**v. Factor y(k).
-2*k*(k - 1)**3*(3*k + 1)
Let b be 3/36*3 - 0. Let j(u) = u**3 + 10*u**2 - 10*u + 16. Let o be j(-11). Find p such that 0 + b*p + 1/4*p**o - 1/2*p**3 + 0*p**4 + 0*p**2 = 0.
-1, 0, 1
Let m = 847/3420 + 2/855. Factor 9/4*l - 3/2*l**2 + m*l**3 + 0.
l*(l - 3)**2/4
Let o(a) = -4*a + 4. Let m(q) = -3*q + 5. Let s(d) = 3*m(d) - 2*o(d). Let h be s(5). What is p in 2/7*p**h - 4/7 - 2/7*p = 0?
-1, 2
Let r(q) be the third derivative of -1/1176*q**8 + 0*q**7 + 0 + 0*q + 0*q**3 + 1/140*q**6 + 1/105*q**5 + 0*q**4 - 6*q**2. Factor r(a).
-2*a**2*(a - 2)*(a + 1)**2/7
Let p = 1/296 - -1179/1480. Factor 2/5*q**2 - p*q - 6/5.
2*(q - 3)*(q + 1)/5
Let w = 1228/5 - 245. Solve -2/5*i + w - 1/5*i**2 = 0 for i.
-3, 1
Let z(f) be the second derivative of -f**6/195 - f**5/65 + f**4/26 - 5*f. Factor z(u).
-2*u**2*(u - 1)*(u + 3)/13
Let w(u) = -u - 6. Let h be w(6). Let x be ((-3)/h*-2)/(-1). Determine t, given that t**3 + 0 - x*t - 1/2*t**5 + 0*t**2 + 0*t**4 = 0.
-1, 0, 1
Factor -2/5*a**2 + 12/5 + 2/5*a.
-2*(a - 3)*(a + 2)/5
Let z(h) = -4*h**2 - h + 5. Let q(a) = -a**2 + 1. Suppose 0 = -4*l - 2*d - 2, 3*l + 26 + 3 = 4*d. Let f(b) = l*q(b) + z(b). Factor f(u).
-(u - 1)*(u + 2)
Let d(a) = a**3 + 12*a**2 - 13*a + 3. Let m be d(-13). Factor 2/13*y**5 + 2/13*y**4 - 2/13*y**2 - 2/13*y**m + 0*y + 0.
2*y**2*(y - 1)*(y + 1)**2/13
Let t