a.
a*(a - 1)**2*(3*a + 1)
Let a(b) be the first derivative of -3*b**4/8 - 32*b**3 + 195*b**2/4 - 214. Find s, given that a(s) = 0.
-65, 0, 1
Let k = 63 - 57. Suppose 17*r - k = 16*r. Solve -r*o - 3*o**3 + 13/2*o**2 + 2 + 1/2*o**4 = 0.
1, 2
Let w(x) be the second derivative of 0*x**2 - 1/15*x**3 + 0 + 0*x**4 + 14*x + 1/50*x**5. Solve w(l) = 0 for l.
-1, 0, 1
Let r be (3 - 2)*10*(-3)/(-6). Suppose -3*b = 2*m - 6, -2*m + r*b = -1 + 11. Factor 0*g + m*g**2 + 1/8*g**3 + 0 + 1/8*g**5 + 1/4*g**4.
g**3*(g + 1)**2/8
Let a(y) be the second derivative of -y**5/20 + 37*y**4/12 - 208*y**3/3 + 640*y**2 - 209*y. Solve a(i) = 0 for i.
5, 16
Let f(c) be the second derivative of -2*c**5/15 - 17*c**4/6 - 16*c**3/3 + 3*c**2 + 17*c. Let q(v) be the first derivative of f(v). Let q(z) = 0. Calculate z.
-8, -1/2
Let h(o) = -14*o**3 - 112*o**2 - 288*o - 168. Let b(x) = 2*x**3 + 16*x**2 + 41*x + 24. Let g(z) = -44*b(z) - 6*h(z). Find l, given that g(l) = 0.
-4, -3, -1
Let k(a) be the first derivative of -a**3/3 - a**2 - a + 2. Let w(p) = 2*p - 4. Let m be w(3). Let s(n) = -n**2 - n. Let d(r) = m*k(r) - 4*s(r). Factor d(y).
2*(y - 1)*(y + 1)
Let x = -1128/13 - -20629/234. Let w = x - -1/9. Factor -2 - w*j**2 + 4*j.
-(j - 2)*(3*j - 2)/2
Let r(t) = t**3 + 2*t**2 - 3*t + 3. Let b be r(-3). Let g = -14454 + 14456. Factor 0 - 1/4*j - 1/4*j**b + 1/2*j**g.
-j*(j - 1)**2/4
Let r be ((-1)/(-2))/(((-75)/(-18))/25). Let z(l) be the first derivative of 9/2*l**2 - 4*l**r - 1 + 3*l. Suppose z(t) = 0. Calculate t.
-1/4, 1
Factor 42*w**2 + 764*w**3 - 756*w**3 - 18*w - 54 + 54*w.
2*(w + 3)**2*(4*w - 3)
Let z = -1611/110 - -375/22. Factor 0*b**3 - 16/5*b + 2/5*b**4 - z*b**2 - 6/5.
2*(b - 3)*(b + 1)**3/5
Let j(r) = 4*r**3 - 4*r**2 - 16*r + 8. Let h(f) = 4*f**3 - 5*f**2 - 17*f + 8. Let g = 22 - 32. Let b = g + 15. Let o(d) = b*j(d) - 4*h(d). Factor o(q).
4*(q - 1)**2*(q + 2)
Let m = 247 - 1721/7. Factor -4*z**2 + 0 + 16/7*z**3 - m*z.
4*z*(z - 2)*(4*z + 1)/7
Let b = 98/39 - -32/39. Factor 14/3*z + 4/3*z**2 + b.
2*(z + 1)*(2*z + 5)/3
Let h be (8880/152)/(-15) + (-8)/(-2). Factor h*m**2 + 4/19*m + 0.
2*m*(m + 2)/19
Let x be 2 + -5 - 6*-1. Suppose x*r - 11 = -3*l + r, 0 = l - 2*r - 1. Let 2*z**2 + 22*z**3 - z**2 - 21*z**l = 0. What is z?
-1, 0
Let c(b) be the second derivative of -b**4/66 - 46*b**3/33 - 529*b**2/11 - 78*b - 2. Factor c(a).
-2*(a + 23)**2/11
Let z(w) = -250*w**2 + 700*w - 426. Let s(q) = -50*q**2 + 140*q - 86. Let d(a) = 16*s(a) - 3*z(a). Factor d(v).
-2*(5*v - 7)**2
Suppose 0 = 4*q + 5*y - 16, -8 = -2*q - y + 5*y. Suppose 15*m - 13*m - q = 0. Factor 3*r**m + 0*r**2 - 3*r**3 + 2*r - 4*r**4 + r**4 + r.
-3*r*(r - 1)*(r + 1)**2
Let v(n) be the third derivative of -5/6*n**3 + 0*n + 4*n**2 + 0 + 0*n**4 + 1/180*n**6 + 1/30*n**5. Let p(l) be the first derivative of v(l). Factor p(z).
2*z*(z + 2)
Let t(i) = -4*i**3 - 6*i**2 + 4. Let k(m) be the third derivative of m**6/120 + m**5/60 + m**2. Suppose 6 = -c - c. Let b(g) = c*k(g) - t(g). Factor b(h).
(h - 1)*(h + 2)**2
Let s be (-3)/((-18)/(-20)) + (-37 + 16 - -25). Let -2/3*q**4 - 16/3 + 4*q**2 + s*q**3 - 8/3*q = 0. Calculate q.
-2, -1, 2
Let r = -280/11 + 16811/660. Let t(b) be the third derivative of 1/120*b**6 + 0 + 0*b**4 - 4*b**2 + r*b**5 + 0*b**3 + 0*b. Find s, given that t(s) = 0.
-1, 0
Let k(z) be the second derivative of z**4/4 - 11*z**3/2 - 18*z**2 + 77*z + 4. What is l in k(l) = 0?
-1, 12
Let z(v) be the first derivative of -1/3*v + 10 - 1/3*v**3 - 1/2*v**2 - 1/12*v**4. Factor z(s).
-(s + 1)**3/3
Let s = 16474/107419 + 4/8263. Factor 4/13*q**2 - s*q**3 + 0 + 6/13*q.
-2*q*(q - 3)*(q + 1)/13
Let t(i) be the second derivative of i**7/525 + i**6/150 - i**5/150 - i**4/30 + 9*i**2/2 + 2*i. Let a(k) be the first derivative of t(k). Factor a(p).
2*p*(p - 1)*(p + 1)*(p + 2)/5
Let k = 6638 + -19913/3. Find i such that 2/3 - 1/3*i**2 + k*i = 0.
-1, 2
Let h(j) be the third derivative of j**5/150 + 7*j**4/3 - 47*j**3/5 + 4*j**2 - 111. Factor h(l).
2*(l - 1)*(l + 141)/5
Determine b, given that -16*b + 0 - 3185/4*b**4 + 65*b**2 + 192*b**3 + 49*b**5 = 0.
-2/7, 0, 1/4, 2/7, 16
Suppose 2*h + 3*n = 7, -h + 0 - 1 = -3*n. Determine u, given that 10*u**h - 30*u + 22*u - 6*u**2 - 12 = 0.
-1, 3
Let t = 26981 + -188859/7. Determine k, given that -4/7*k**5 + t*k - 4/7*k**3 + 0 - 12/7*k**2 + 12/7*k**4 = 0.
-1, 0, 1, 2
Let l(u) be the first derivative of 3*u**4/20 - 2*u**3/5 - 27*u**2/10 + 54*u/5 + 134. Factor l(n).
3*(n - 3)*(n - 2)*(n + 3)/5
Let g be 10*7/(-294)*-7. Factor g*o - 5/3*o**2 + 0.
-5*o*(o - 1)/3
Let m(j) be the second derivative of j**7/420 - j**6/50 + 3*j**5/50 - j**4/15 + 50*j - 1. Factor m(n).
n**2*(n - 2)**3/10
Let v be (-19)/475*-25 + 1/(-2). Determine p so that v*p**4 + 5/2*p**2 + 0 - 2*p**3 - p = 0.
0, 1, 2
Suppose -l - 1 + 106 = 0. Determine k so that -20 - 85*k**3 + 15*k**4 - 16*k + 28*k + l*k**2 - 27*k = 0.
-1/3, 1, 4
Factor -97*z**4 + 52*z**5 + 3*z**3 + 104*z**3 - 27*z**3 + 625*z**4.
4*z**3*(z + 10)*(13*z + 2)
Let c(w) = -w**3 - 37*w**2 - 37*w - 31. Let p be c(-36). Suppose 5*d - d - 4*t - 24 = 0, p*d - t = 14. Factor 8/7 + 12/7*g + 0*g**d - 4/7*g**3.
-4*(g - 2)*(g + 1)**2/7
Let o be 21/(-28) - (-19)/4. Let p be -8 + o - 24/(-5). Factor 0*q + p*q**3 - 2/5*q**4 + 0 - 2/5*q**2.
-2*q**2*(q - 1)**2/5
Let y(w) be the second derivative of -14*w**6/15 - w**5/5 + 7*w**4/3 + 2*w**3/3 + 1053*w. Factor y(f).
-4*f*(f - 1)*(f + 1)*(7*f + 1)
Let w(r) = r - 9. Let n be w(5). Let g be n/(-12) - (-2)/(-6). Find i such that 4*i**3 - 7*i - 14*i**2 + 2*i + 14*i**4 + i + g*i = 0.
-1, -2/7, 0, 1
Factor -324/5*d - 12/5 - 2187/5*d**2.
-3*(27*d + 2)**2/5
Let x be 0/((-2)/(4 - 4/2)). Solve -12*t**5 + x*t**4 - 9*t**2 + 29*t**3 - 14*t**3 - 3*t + 9*t**4 = 0 for t.
-1, -1/4, 0, 1
Let n(r) be the third derivative of -r**5/36 - 5*r**4/36 + 5*r**3/6 + 50*r**2. Factor n(q).
-5*(q - 1)*(q + 3)/3
Let n(g) = g**3 - 9*g**2 + g - 11. Let u be n(9). Let q be (-14 + 14)*(-1 - u). Factor 0*o + q + 1/2*o**2.
o**2/2
Let q(o) be the third derivative of 0*o**3 - 1/160*o**5 - 1/960*o**6 - 1/96*o**4 + 0*o + 0 + 6*o**2. Factor q(t).
-t*(t + 1)*(t + 2)/8
Let q = 108 + -108. Suppose q*a = -a + 1. Suppose 5/2*y + a + 3/2*y**2 = 0. Calculate y.
-1, -2/3
Let l(d) = 3*d - 24. Let x be -36*(1 - (-5)/(-4)). Let g be l(x). Factor 1/4 + 0*o**g - 1/2*o**2 + 1/4*o**4 + 0*o.
(o - 1)**2*(o + 1)**2/4
Factor 1 - w + 2*w - 11*w**2 + w - 79*w**3 + 67*w**3.
-(w + 1)*(3*w - 1)*(4*w + 1)
Let g(v) = 6*v**3 - 40*v**2 + 48*v - 14. Let k(r) = 4*r**3 + 16*r - 13*r**2 - 3*r**3 - 5 + r**3. Let w(z) = -3*g(z) + 10*k(z). Solve w(l) = 0.
1, 2
Let l(q) = q**3 - q. Suppose 0 = 2*r - 3*o - 5 + 22, -4*o + 16 = 4*r. Let c(i) = -2*i**3 + 4*i**2 + 2*i - 4. Let t(g) = r*c(g) - 4*l(g). Factor t(z).
-2*(z - 1)*(z + 1)*(z + 2)
Let i(d) = 2*d**3 - 4*d**2 + 8*d - 3. Let o be i(1). Let h(a) be the first derivative of 1/6*a**2 + 0*a - 7/9*a**o + 7 + 1/2*a**4. Factor h(x).
x*(x - 1)*(6*x - 1)/3
Let g(f) be the second derivative of 2/105*f**6 - 1/7*f**2 - 2*f - 11/84*f**4 - 3/14*f**3 + 0*f**5 + 0. Solve g(y) = 0.
-1, -1/2, 2
Let v(f) be the second derivative of 1/5*f**5 - f**4 + 2*f**3 + 0 - 2*f**2 + 12*f. Factor v(w).
4*(w - 1)**3
Let b = -108 - -61. Let l be (b/13 - -3)/(-1). Solve 2/13*z**3 + 10/13*z - l*z**2 - 4/13 = 0 for z.
1, 2
Let q = 17 - 14. Let w = 22 + -16. Solve -n + 2*n**3 - 2*n**q + w*n**2 - 3*n - 2*n**3 = 0.
0, 1, 2
Factor 0 - 2*j**2 + 0*j - 1/3*j**3.
-j**2*(j + 6)/3
Let g(m) be the second derivative of 5*m**4/72 + 115*m**3/36 + 55*m**2/6 - 23*m - 2. Factor g(b).
5*(b + 1)*(b + 22)/6
Let o(z) be the second derivative of z**7/210 - z**6/90 - 17*z**3/6 + 15*z. Let d(k) be the second derivative of o(k). Solve d(f) = 0 for f.
0, 1
Suppose 16*v - 20*v = 4*w, 5*v - 24 = 3*w. Let x(o) be the first derivative of 6 - 1/3*o**v - 3/2*o**2 - 2*o. Solve x(u) = 0.
-2, -1
Suppose -96*w + 88*w = -16. Suppose -6*f - w*f**2 - 9/2 = 0. Calculate f.
-3/2
Let t be ((-56)/(-126))/((-2)/(-9)). Factor -1/11*v**4 + 6/11*v**3 - 13/11*v**t - 4/11 + 12/11*v.
-(v - 2)**2*(v - 1)**2/11
Suppose -89*d = 2*c - 86*d + 5, -4*c + 2*d = -30. Find y such that 8/9*y**3 - 2/9*y + 0 - 2/3*y**c - 4/9*y**2 + 4/9*y**4 = 0.
-1, -1/3, 0, 1
Let z be (-165)/22*22/(-275). Suppose -12 = -5*t + f, t + 3*t - 6 = -f. Find i such that 6/5 - 3*i - z*i**3 + 