854))/(1/6*-1). Factor -4/3*m**2 + 0*m + 0 - u*m**3.
-4*m**2*(m + 1)/3
Let c(a) be the first derivative of -a**3/12 - 3*a**2/8 - 15. Factor c(d).
-d*(d + 3)/4
Let o(v) be the third derivative of v**9/6720 - v**8/8960 - v**7/1680 - v**4/2 + v**2. Let s(f) be the second derivative of o(f). Find x such that s(x) = 0.
-2/3, 0, 1
Let u = -388 - -393. Let q(g) be the second derivative of -1/105*g**6 + 0*g**3 + 6*g + 1/21*g**4 + 0*g**u - 1/7*g**2 + 0. Factor q(t).
-2*(t - 1)**2*(t + 1)**2/7
Suppose -23 = -8*d + 1. Let -11*s**4 + s**3 + 14*s**4 - s**3 - d*s**3 = 0. Calculate s.
0, 1
Let n(l) = l**3 + 3*l**2 - 10*l - 21. Let w be n(-4). Let i(m) be the third derivative of 0*m + 1/15*m**5 + 0*m**4 - 10*m**2 + 0 + 0*m**w. Factor i(b).
4*b**2
Let x(w) = 17*w**5 + 15*w**4 + w**3 - 3*w**2 - 3*w. Let c(k) = 50*k**5 + 46*k**4 + 4*k**3 - 8*k**2 - 8*k. Let h(z) = 3*c(z) - 8*x(z). Factor h(b).
2*b**3*(b + 1)*(7*b + 2)
Let q(n) be the second derivative of n**4 + 16*n**3/3 + 8*n**2 - n + 51. What is j in q(j) = 0?
-2, -2/3
Let z(l) be the first derivative of -1/60*l**6 + 1/2*l**2 - 1 + 0*l**4 - 1/30*l**5 + 0*l**3 + 0*l. Let w(v) be the second derivative of z(v). Factor w(y).
-2*y**2*(y + 1)
Suppose -m - 5*z - 108 = 31, -2*m + 5*z = 278. Let y = -87 - m. What is d in -d**3 + 50*d**2 + 2 - y*d**2 + 0*d + d = 0?
-2, -1, 1
Let u = 73 + 32. Let m be (-3 - (-1)/1) + 360/u. Factor -m*o**3 - 50/7*o**4 - 8/7*o + 32/7*o**2 + 0.
-2*o*(o + 1)*(5*o - 2)**2/7
Factor 12 + 3/2*l**4 - 3/2*l**3 + 6*l - 9*l**2.
3*(l - 2)**2*(l + 1)*(l + 2)/2
Suppose 12 = 5*i + 2. Let m be 1*i + -4 + 4. Find l such that -l + l**2 + 2*l + m*l + 14 - 12 = 0.
-2, -1
Let s(a) = -a**2 + 8*a + 5. Let c be s(7). Let f be (c/(-36))/(2/(-24)). Solve -9*o**4 - 35*o**2 + f*o + 8*o**2 - o**5 - 4*o - 27*o**3 = 0.
-3, 0
Let o(q) = q**3 + 5*q**2 - 4*q + 15. Let z be o(-6). Suppose 7*p = z*p - x + 7, -4*p = -x - 9. Let 2*s + 6*s**2 - 2*s**2 - 4*s**2 - 1 - s**p = 0. What is s?
1
Let t = 2/25127 + 75373/100508. Find v such that -12*v + t*v**4 - 6*v**3 + 15/4 + 27/2*v**2 = 0.
1, 5
Let o(u) be the third derivative of -4*u**2 + 0*u**5 + 0 - 1/30*u**6 + 0*u + 1/6*u**4 + 0*u**3. Find a such that o(a) = 0.
-1, 0, 1
Let q(f) = f**3 - 4*f**2 - 6*f + 7. Suppose -i + 15 = -5*c, 5 - 17 = -4*i - 4*c. Let h be q(i). Factor 5*d**2 + 3*d - d - h*d**2 - d**2.
2*d*(d + 1)
Let k(m) be the third derivative of m**6/600 - m**5/15 + 19*m**4/120 + 44*m**2. Factor k(s).
s*(s - 19)*(s - 1)/5
Solve 0 - 9*u**2 + 24*u**3 - 3/2*u = 0.
-1/8, 0, 1/2
Let o(j) = j**3 - 7*j**2 + 8*j - 20. Let s be o(7). Let 2*a + s*a**2 + 15*a - 9*a = 0. Calculate a.
-2/9, 0
Let a(k) be the first derivative of -2*k**2 + 7/15*k**5 - 11/4*k**4 + 24 - 8/3*k + 46/9*k**3. Factor a(g).
(g - 2)**2*(g - 1)*(7*g + 2)/3
Let l be 2296/616 - ((-2)/(-1) + 1). Factor l*w + 0 - 2/11*w**2.
-2*w*(w - 4)/11
Suppose g = 4*w - 3*w - 5, 0 = 4*g + w - 5. Let q(b) be the first derivative of 0*b**4 + g*b**3 + 1/15*b**6 + 0*b + 0*b**2 - 3 + 0*b**5. Solve q(i) = 0 for i.
0
Let h be (-10)/((-3)/((-1)/(-2) + -5)). Let f be 3/(-13)*((-5)/h - 1). Solve 4/13*l + 0 - f*l**2 - 2/13*l**3 = 0 for l.
-2, 0, 1
Let y(f) = 32*f + 24. Let o be y(4). Let j = o + -150. Factor 0*c + 1/4 - 1/4*c**j.
-(c - 1)*(c + 1)/4
Factor 0 + 2/11*w**3 - 148/11*w**2 + 2738/11*w.
2*w*(w - 37)**2/11
Let c(r) = -5*r**4 - 16*r**3 + 21*r**2 - 12*r - 6. Let n(y) = y**4 + y**3 - 2*y**2 + 2*y + 1. Let a(x) = c(x) + 6*n(x). Factor a(o).
o**2*(o - 9)*(o - 1)
Let k(c) be the first derivative of -c**6/80 - 3*c**5/20 - 9*c**4/16 - c**3 + 9*c**2 - 32. Let z(i) be the second derivative of k(i). Factor z(t).
-3*(t + 1)**2*(t + 4)/2
Suppose -4*h = -10 + 14. Let i be 4 + h + 2/(6/(-3)). Determine m so that 3/4*m - 3/4*m**i + 3/4 - 3/4*m**3 = 0.
-1, 1
Let r be 1 - (-3 - 3) - 1. Let y(w) be the first derivative of -4 - 4/3*w - 7/12*w**4 + 4/3*w**2 - 1/18*w**r + 1/3*w**5 - 1/9*w**3. Find o such that y(o) = 0.
-1, 1, 2
Let a(f) = -f + 4*f**2 - 20 + 3*f**2 - 3*f**3 - 11*f + 4*f**3. Let q be a(-8). What is w in -q*w + 15/2*w**2 + 6 - 3/2*w**3 = 0?
1, 2
Let w(y) be the first derivative of y**2 + 1/12*y**4 - 1/2*y**3 - 3 + y. Let x(f) be the first derivative of w(f). Find j, given that x(j) = 0.
1, 2
Let y = -63 + 66. Find b such that 12*b**4 + 9*b**5 + 10*b**3 - 6*b**2 - 2*b**y - 11*b**3 = 0.
-1, 0, 2/3
Let w be 9 - 274/40 - 1/4. Let k(y) be the second derivative of 3*y - 25/21*y**7 - 4*y**2 + 8/3*y**3 - 11/3*y**6 + 23/6*y**4 + 0 - w*y**5. Factor k(h).
-2*(h + 1)**3*(5*h - 2)**2
Let z(w) = 12*w**2 + 10*w - 2. Let i(m) = -m**2 - m. Let p be (-24)/(-18) + 4/6. Let g(u) = p*z(u) + 28*i(u). Factor g(j).
-4*(j + 1)**2
Let p(u) be the second derivative of -u**7/126 + u**6/45 + 7*u**5/60 + u**4/9 + 98*u. Factor p(d).
-d**2*(d - 4)*(d + 1)**2/3
Let t(h) be the first derivative of 2*h**2 + 2/3*h**3 + 11 + 0*h. Factor t(d).
2*d*(d + 2)
Let a = 11 - 7. Suppose q - 4*q = -a*w - 23, -3*w = -3*q + 21. Factor q*r**3 - 5*r**2 + 661*r - 661*r.
5*r**2*(r - 1)
Suppose -g + 2*s + 0 = -10, -g + 13 = -3*s. Suppose 2*k + 8 + 2*k**3 - 2*k**3 + 2*k + 4*k**g - 12*k**2 - 4*k**3 = 0. Calculate k.
-1, 1, 2
Let r = -3 - -5. Factor -5*b**3 + b**3 + 2*b**3 - 2*b**3 - 12*b**r.
-4*b**2*(b + 3)
Factor 31/2*x + 1/2*x**2 + 75.
(x + 6)*(x + 25)/2
Let f(l) be the second derivative of 1/10*l**6 + 1/2*l**4 + 3/10*l**5 + 0 + 3/10*l**2 + 11*l + 1/2*l**3 + 1/70*l**7. Factor f(g).
3*(g + 1)**5/5
Let m be 775/93*(-18)/(-30). Find b, given that -9/5*b**3 + 0 + 1/5*b**m + 1/5*b**4 - 4/5*b + 11/5*b**2 = 0.
-4, 0, 1
Determine n so that 2/9*n**5 - 160/9*n - 38/9*n**4 + 238/9*n**2 + 158/9*n**3 - 200/9 = 0.
-1, 1, 10
Let k = 651 - 647. Find n such that -5/7*n**2 + 12/7*n + 9/7*n**k - 4/7 - 12/7*n**3 = 0.
-1, 2/3, 1
Suppose 8/7*s**4 - 4*s**3 + 0 + 48/7*s + 4/7*s**5 - 32/7*s**2 = 0. What is s?
-3, -2, 0, 1, 2
Let z(f) be the second derivative of -4/3*f**3 + 5/3*f**4 - 3/10*f**6 - 3/10*f**5 + 0 + 10*f + 0*f**2. Factor z(t).
-t*(t + 2)*(3*t - 2)**2
Determine x, given that 154*x - 12 - 1 + 22*x - 660*x**2 - 3 - 324*x**4 + 936*x**3 = 0.
2/9, 1/3, 2
Solve -564*l + 4875/2*l**4 - 3650*l**3 + 2140*l**2 - 625/4*l**5 + 56 = 0 for l.
2/5, 14
Factor -2/9*s**2 + 50/9*s - 56/3.
-2*(s - 21)*(s - 4)/9
Let c(w) be the second derivative of w**4/6 - w**3 - 320*w. Find r, given that c(r) = 0.
0, 3
Let m(r) be the third derivative of -r**7/70 + 3*r**6/200 + 7*r**5/100 - 3*r**4/40 - r**3/5 + 163*r**2. Let m(a) = 0. What is a?
-1, -2/5, 1
Factor -56*u + 86*u**4 - 17*u**3 + 89*u**2 - 43*u - 85*u**4 - 14*u**2.
u*(u - 11)*(u - 3)**2
Suppose 0 = r + 3*r - 12. Determine h so that 20*h**2 + 3*h**r + 0*h**3 - 5*h**2 + 2*h**3 = 0.
-3, 0
Let y be 595/(-2550) + (-2)/(-5). Factor -1/2*l**2 - y*l + 0 - 1/2*l**3 - 1/6*l**4.
-l*(l + 1)**3/6
Let z(v) = -6*v**4 + v**3 + 2*v**2 - v - 2. Let g = 121 + -120. Let l(r) = r**4 - r**3 + r**2 + r + 1. Let u(f) = g*z(f) + 2*l(f). Factor u(b).
-b*(b - 1)*(b + 1)*(4*b + 1)
Let i(a) be the first derivative of -4*a**3/15 + 22*a**2/5 - 72*a/5 - 51. Find z, given that i(z) = 0.
2, 9
Let f = -4/4389 - -218/399. Solve -1/11*r**2 + f*r - 9/11 = 0 for r.
3
Let b(p) be the third derivative of -7/40*p**5 + 0*p + 14*p**2 + 0 - 9/4*p**3 + 1/80*p**6 + 15/16*p**4. Determine q, given that b(q) = 0.
1, 3
Let q(l) be the second derivative of l**6/5 - l**5/10 - 3*l**4/2 + 3*l**3 - 2*l**2 - 192*l. Solve q(z) = 0 for z.
-2, 1/3, 1
Let g(v) be the first derivative of -v**6/72 + v**5/24 + 7*v**3 - 35. Let p(d) be the third derivative of g(d). Determine u, given that p(u) = 0.
0, 1
Find n, given that 3/4*n**2 - 3/4 - 1/4*n + 1/4*n**3 = 0.
-3, -1, 1
Factor 0 - 9/2*p**2 - 3*p.
-3*p*(3*p + 2)/2
Let p(d) be the first derivative of -5*d**4/16 + 45*d**2/8 - 76. Solve p(m) = 0 for m.
-3, 0, 3
Let u(v) be the third derivative of -v**7/210 + 19*v**6/120 + 28*v**5/15 + 47*v**4/6 + 16*v**3 + 298*v**2 - 1. Determine r so that u(r) = 0.
-2, -1, 24
Let m(g) = -7*g**2 - 16*g - 13. Let h(u) = 6*u**2 + 15*u + 12. Let t be 1/(3 - (-20)/(-6)). Let x(q) = t*m(q) - 4*h(q). Factor x(l).
-3*(l + 1)*(l + 3)
Factor 28*i**2 - 2*i**2 + 19*i**3 + 24*i - 17*i**3.
2*i*(i + 1)*(i + 12)
Let j be (-5390)/660*2/(-7). Solve -5/3*r**2 - 2/3 - j*r = 0.
-1, -2/5
Let n(w) be the third derivative of -w**7/4200 - w**6/1200 - 5*w**4/8 - 2*w**2. Let f(q) be the 