 be u(0). Factor 76/13*x**2 + 16/13 + 2/13*x**s + 56/13*x + 16/13*x**4 + 50/13*x**3.
2*(x + 1)**2*(x + 2)**3/13
Let t(c) be the second derivative of 1/15*c**3 - 1/50*c**5 + 2/5*c**2 + 4*c - 1/15*c**4 + 0. Find n, given that t(n) = 0.
-2, -1, 1
Let a(f) be the first derivative of -f**6/300 - f**5/75 - f**4/60 + 2*f**3/3 - 4. Let t(o) be the third derivative of a(o). Factor t(k).
-2*(k + 1)*(3*k + 1)/5
Solve 18/7*d + 20/7 - 2/7*d**2 = 0 for d.
-1, 10
Let d(t) be the first derivative of t**4/5 + 2*t**3/3 + 4*t**2/5 + 2*t/5 - 4. Factor d(z).
2*(z + 1)**2*(2*z + 1)/5
Let u(o) = 3*o + 74. Let s be u(-24). Determine p, given that -2/5*p**s + 0 + 4/5*p = 0.
0, 2
Let x(u) be the second derivative of -2*u**7/105 + 44*u**6/75 - 29*u**5/5 + 152*u**4/15 + 1664*u**3/15 + 1024*u**2/5 - 6*u. Solve x(b) = 0 for b.
-1, 8
Suppose 6*m - 5*m - 4 = 0. Solve 12/5*b**5 + 9*b**m + 0*b + 12*b**3 - 3/5 + 6*b**2 = 0.
-1, 1/4
Let g(k) be the first derivative of k**3/9 - 2*k**2/3 + k + 11. Solve g(o) = 0.
1, 3
Let j(m) be the third derivative of -m**8/112 - m**7/14 - 9*m**6/40 - 7*m**5/20 - m**4/4 - 7*m**2. Determine z, given that j(z) = 0.
-2, -1, 0
Let h(i) = 2*i - 8. Let v be h(5). What is c in -3/2 - 3/4*c**v + 9/4*c = 0?
1, 2
Suppose -2 + 23 = 3*x. Suppose 5*t = x + 3. Find q, given that 0 - 2/3*q**3 + 2/9*q**t + 4/9*q = 0.
-2/3, 0, 1
Suppose -5*f + 19 = 4. Let j be (44/(-3))/(-4) - f. Find z such that -2/3*z**3 + 0 - 2/3*z**4 + j*z**2 + 2/3*z = 0.
-1, 0, 1
Let z(o) be the first derivative of o**5/40 - o**4/8 + o**2 - 2*o - 14. Factor z(q).
(q - 2)**3*(q + 2)/8
Let o(r) be the third derivative of r**8/672 + r**7/60 + 19*r**6/240 + 5*r**5/24 + r**4/3 + r**3/3 - 15*r**2. Factor o(x).
(x + 1)**3*(x + 2)**2/2
Factor -20*n + 9 - 34 - 15 + 10*n**2 + 5*n**3.
5*(n - 2)*(n + 2)**2
Let x(i) be the second derivative of -i**4/16 - 5*i**3/8 - 3*i**2/2 + 11*i. Factor x(j).
-3*(j + 1)*(j + 4)/4
Let b(f) = 11*f - 55. Let d be b(5). Let g(y) be the second derivative of 1/4*y**4 + y**3 + d - y + 3/2*y**2. Suppose g(v) = 0. What is v?
-1
Let r(s) be the second derivative of -s**7/168 + s**6/120 + s**5/40 - s**4/24 - s**3/24 + s**2/8 + 9*s. Let r(i) = 0. Calculate i.
-1, 1
Factor 41*i**2 + 49 + 15*i - 5*i**3 - 225*i + i**3 + 16*i**2.
-(i - 7)**2*(4*i - 1)
Factor 0 - 5/3*r**2 - 7/3*r**3 - 1/3*r - r**4.
-r*(r + 1)**2*(3*r + 1)/3
Let y = 19 - 10. Solve -y*c**2 - c**3 - 5*c**3 + 0*c**2 - 3 - 9*c + 3*c**3 = 0 for c.
-1
Let g(y) = -5*y + 5 + y**3 - 1 - 2 + 4*y**2. Let r be g(-5). Solve 0*c**3 - 2*c**3 + 4*c**2 + r*c - 11*c**2 + 7*c**4 = 0.
-1, 0, 2/7, 1
Let g(b) = b**2 - 3*b + 3. Let m be g(3). Let w be -2 + 13/4 + -1. Solve w*r**m - 1/4 - 1/4*r + 1/4*r**2 = 0 for r.
-1, 1
Suppose 3*m - p - 35 = 0, 3*p - 2*p - 35 = -4*m. Suppose m = 2*n - 0. Factor d + 3*d**2 - 9*d + n*d**2 + 5*d**4 + 5*d**4 + 26*d**3.
2*d*(d + 1)*(d + 2)*(5*d - 2)
Let p(y) be the third derivative of y**8/84 - 4*y**6/15 - 2*y**5/5 + 7*y**4/6 + 4*y**3 - 20*y**2. Suppose p(z) = 0. Calculate z.
-2, -1, 1, 3
Suppose 10 = 4*y + 2. Factor -c**y - 4*c**2 - 6*c**3 - 2*c**4 + 2*c**2 - c**4.
-3*c**2*(c + 1)**2
Let n(l) be the third derivative of -l**7/945 - l**6/135 - l**5/54 - l**4/54 + 11*l**2. Find u such that n(u) = 0.
-2, -1, 0
Factor 144*n + 3/4*n**3 - 18*n**2 - 384.
3*(n - 8)**3/4
Suppose 2*x = -2*x. Let l(u) be the second derivative of 1/24*u**4 - 2*u + 1/4*u**2 - 1/6*u**3 + x. Factor l(g).
(g - 1)**2/2
Suppose -6*u + 5*u + 4 = 0. Determine d so that -12*d**4 + 2*d**2 + 8*d**u - 8*d + 10*d**2 = 0.
-2, 0, 1
Let i be 313/93 - (-12)/(-4). Let s = i - 1/31. Factor 0 + 1/3*v - s*v**2.
-v*(v - 1)/3
Let w be (-216)/(-99) - 2/11. Determine l so that -l - 3*l**5 - w*l**4 + 29*l**2 + 4*l**5 - 14*l**2 - 13*l**2 = 0.
-1, 0, 1
Let c(p) be the second derivative of 5/48*p**4 - 3/4*p**2 + 13/24*p**3 + 3*p + 0. Factor c(r).
(r + 3)*(5*r - 2)/4
Let g be -6 - (20/(-12) - 5). Let u(f) = f**3 - f - 2. Let x be u(2). Suppose 0 + 0*j + g*j**3 + 0*j**2 + 2*j**x = 0. What is j?
-1/3, 0
Suppose -f**2 + 3/2*f - 1/2 = 0. Calculate f.
1/2, 1
Let o(t) = t**2 - 4*t + 9 - 3*t + 0*t**2. Let a be o(6). Factor a + 0 - 16*g + 32*g**2 - 1.
2*(4*g - 1)**2
Let o = -3 - -5. Let 4*x**4 + 8*x + x**2 + 0*x**4 - 2*x**4 - 7*x**o + 8 - 4*x**3 = 0. What is x?
-1, 2
Let a(p) be the third derivative of -p**6/40 + 3*p**5/20 - 13*p**2 - 1. Factor a(x).
-3*x**2*(x - 3)
Let 4/3 + 0*k**2 + 2*k - 2/3*k**3 = 0. Calculate k.
-1, 2
Suppose 84 = 162*o - 141*o. Factor 1/4*x**3 + 1/4*x**o - 1/2*x**2 + 0 + 0*x.
x**2*(x - 1)*(x + 2)/4
Factor -b**2 + 1/3*b**3 + 0 + 0*b.
b**2*(b - 3)/3
Let v(m) be the second derivative of -m**4/24 + m**3/3 + 7*m. Solve v(o) = 0 for o.
0, 4
Let h = 295/198 - -1/99. Factor 3/2*q + 3/8*q**2 + h.
3*(q + 2)**2/8
Find x such that 36/7*x**4 + 0*x + 0 - 16/7*x**5 - 24/7*x**3 + 4/7*x**2 = 0.
0, 1/4, 1
Let m be 3*-1*10/(-15). Factor 0*u + 8*u - m - 5*u - u**2.
-(u - 2)*(u - 1)
Let a(w) be the third derivative of -w**7/210 + w**6/45 - 7*w**5/180 + w**4/36 - 9*w**2. Determine b so that a(b) = 0.
0, 2/3, 1
Let u be 84/39 - 6/39. Let s(m) be the first derivative of -1/4*m**4 - 1/3*m**3 + 1/10*m**5 - 2 + 1/12*m**6 + 1/4*m**u + 1/2*m. Find d, given that s(d) = 0.
-1, 1
Find x such that -4/3*x + 4/3*x**4 + 8/3 + 4/3*x**3 - 4*x**2 = 0.
-2, -1, 1
Suppose 4 = -12*f + 14*f. Let b(o) be the second derivative of 0*o**f + 1/18*o**4 + 2*o + 0*o**3 + 0. Factor b(k).
2*k**2/3
Let w(z) = 2*z**2 - 41*z + 20. Let u be w(20). Let n(o) be the second derivative of u*o**2 + 0 - 1/30*o**3 + 1/100*o**5 + 2*o + 0*o**4. Factor n(s).
s*(s - 1)*(s + 1)/5
Find b such that 2720*b**2 + 4500*b**4 + 2188*b**3 + 782*b**5 - 7388*b**3 + 64 - 2032*b**5 - 672*b = 0.
2/5, 2
Let t be 69/(-21) + (-2)/(-7). Let p be t/(-6)*1*6. Let 6 - 6 - 6*v**4 + 10*v**p - 4*v**2 = 0. What is v?
0, 2/3, 1
Let c(w) be the second derivative of -3*w**5/80 - w**4/8 + w**3/8 + 3*w**2/4 + 6*w. Factor c(l).
-3*(l - 1)*(l + 1)*(l + 2)/4
Let f(t) be the third derivative of -1/24*t**6 + 0*t**4 + 0*t**3 + 2/105*t**7 + 0*t + 3*t**2 + 1/30*t**5 + 0 - 1/336*t**8. Factor f(x).
-x**2*(x - 2)*(x - 1)**2
Determine y so that 0*y + 0*y**4 - 3/7*y**3 + 0 + 2/7*y**2 + 1/7*y**5 = 0.
-2, 0, 1
Let y(l) be the first derivative of 3*l**4/2 + l**2 - 2*l + 16. Let g = -10 - -5. Let n(o) = -12*o**3 - o**2 - 5*o + 5. Let m(i) = g*y(i) - 2*n(i). Factor m(x).
-2*x**2*(3*x - 1)
Let k be ((-2)/5 + (-4)/(-10))/(-2). Solve -1/2*x**2 + 1/4*x + k = 0.
0, 1/2
Let b(d) = -d**3 + d**2 - d + 1. Let z(p) = 6*p**3 + 24*p**2 + 36*p + 14. Let k(v) = b(v) + z(v). Solve k(h) = 0.
-3, -1
Let z be (18 - 0)*(-4)/(-12). Suppose 2 = 4*j - z. Factor 0 + 2/5*y - 2/5*y**j.
-2*y*(y - 1)/5
Let l(b) be the first derivative of 0*b + 0*b**4 + 0*b**6 - 1/105*b**7 + 4 - b**2 + 0*b**3 + 1/30*b**5. Let z(u) be the second derivative of l(u). Factor z(m).
-2*m**2*(m - 1)*(m + 1)
Let n(w) be the first derivative of -w**5/100 + w**4/40 - w**2 + 3. Let t(j) be the second derivative of n(j). Determine p so that t(p) = 0.
0, 1
Suppose 0*f + 4*f - 2*i - 14 = 0, -19 = -5*f + i. Let z = -2 + f. Factor 0 - 2/7*s**z + 0*s**3 + 2/7*s**4 + 0*s.
2*s**2*(s - 1)*(s + 1)/7
Let p(q) be the first derivative of q**4/26 + 4*q**3/13 + 9*q**2/13 + 17. Factor p(d).
2*d*(d + 3)**2/13
Let y(l) = -l + 1. Let o be (-35)/(-10) + (-6)/4. Let v(p) = 2*p**2 + 10*p + 6. Let w(i) = o*y(i) + v(i). Factor w(d).
2*(d + 2)**2
Let b(s) be the first derivative of -s**4/3 - 20*s**3/9 - 14*s**2/3 - 4*s - 55. Factor b(a).
-4*(a + 1)**2*(a + 3)/3
Let i(k) be the first derivative of k**6/36 + 2*k**5/15 + k**4/6 - k**3/9 - 5*k**2/12 - k/3 + 9. Suppose i(c) = 0. What is c?
-2, -1, 1
Find k, given that -1 - 8*k**4 - 1 - 2 + 16*k**2 - 58*k**2 - 32*k**3 - 22*k = 0.
-2, -1, -1/2
Suppose 0*t = -5*o + t, -3*o = -4*t. Let j(n) be the second derivative of 1/20*n**5 + 2*n + 0 + o*n**4 + 0*n**2 + 0*n**3. Let j(q) = 0. Calculate q.
0
Suppose -2*q + 11 + 1 = 0. Suppose 4*v = -q + 14. Solve j**5 - 1/3 - 5/3*j - v*j**2 + 2/3*j**3 + 7/3*j**4 = 0 for j.
-1, -1/3, 1
Let d be 9/(-6 - -3) + 43. Let v be (-4)/10 - (-26)/d. Factor 3/4*y**3 + v*y**5 + 3/4*y**4 + 0*y + 0 + 1/4*y**2.
y**2*(y + 1)**3/4
Let q(v) be the third derivative of -v**6/160 + v**5/20 - v**2. Factor q(a).
-3*a**2*(a - 4)/4
Let q(a) = -a**2 - 5*a - 4. Let u be q(-3). Factor -24*p + 6*p 