rivative of -y**4 + 8*y**3/3 - 216. Factor z(c).
-4*c**2*(c - 2)
Factor 9/4*o**2 + o**3 + 0 + 1/2*o.
o*(o + 2)*(4*o + 1)/4
Let u(p) be the second derivative of p**5/15 - p**4/9 - 4*p**3/3 - 2*p - 54. Suppose u(r) = 0. Calculate r.
-2, 0, 3
Let y(o) be the third derivative of 0*o + 0 - 1/180*o**5 + 44*o**2 - 169/18*o**3 + 13/36*o**4. Let y(r) = 0. What is r?
13
Let u = -154 - -157. Let f(r) be the second derivative of 0 - 1/8*r**2 + 1/48*r**4 + 0*r**u - 3*r. Factor f(o).
(o - 1)*(o + 1)/4
Factor -579/5*b**2 - 768/5 - 3/5*b**4 - 18*b**3 + 288*b.
-3*(b - 1)**2*(b + 16)**2/5
Let v(x) = 7 + 2 + 9 - 3 - x. Let i be v(8). Solve 2*o + 6*o**3 - o - i*o**3 = 0.
-1, 0, 1
What is w in -1/10*w**4 - 2/5*w**3 - 1/5*w - 1/2*w**2 + 0 = 0?
-2, -1, 0
Let t = -1037 + 118219/114. Let n(m) be the third derivative of 0 - t*m**4 + 0*m**3 - 1/570*m**5 + 0*m + 8*m**2. Solve n(l) = 0 for l.
-2, 0
Let d be (-255)/210*(-119 - (0 + -1)). Let i = d + -143. Solve -12/7*j**2 - 16/7 - 24/7*j - i*j**3 = 0.
-2
Factor -78 + k + 56 + 4*k**2 - 54*k + 278 - 11*k.
4*(k - 8)**2
Let l be (2/2)/(91/(-16) + 6). Let p = 17/13 - 7/65. What is u in -18/5*u**4 + 0 - p*u**3 + 8/5*u + l*u**2 = 0?
-2/3, 0, 1
Let i = 31 - 28. Factor 16*x**2 + x - 6 + 5 - 9*x**3 - 7*x**i.
-(x - 1)*(4*x - 1)*(4*x + 1)
Let r(h) = -h**2 + 24*h + 2. Let g be r(24). Factor 6*f**2 + g + f + 2*f**2 - 9*f**2.
-(f - 2)*(f + 1)
Let n = -107 - -143. Let -4*z + 0*z**2 - 5*z**4 - 1 - 5*z**5 - n*z + 21 + 5*z**2 + 25*z**3 = 0. What is z?
-2, 1
Let k(v) be the second derivative of v**4/24 + 3*v**3/2 - v - 112. Factor k(c).
c*(c + 18)/2
Let c(j) be the third derivative of 16*j**7/1365 - 2*j**6/195 - 11*j**5/30 + 6*j**4/13 - 3*j**3/13 - j**2 - 632*j. Determine q so that c(q) = 0.
-3, 1/4, 3
Let q(x) be the second derivative of -5*x**7/14 + 11*x**6/6 - 15*x**5/4 + 15*x**4/4 - 5*x**3/3 - 9*x. Factor q(r).
-5*r*(r - 1)**3*(3*r - 2)
Let v be 6*2/20 + (-611)/(-715). Factor -32/11 - 2/11*x**2 - v*x.
-2*(x + 4)**2/11
Let m(a) = -6*a**4 - 44*a**3 + 6*a**2 + 112*a + 76. Let z(d) = 5*d**4 + 42*d**3 - 6*d**2 - 112*d - 75. Let q(p) = 3*m(p) + 4*z(p). Factor q(v).
2*(v - 2)*(v + 1)**2*(v + 18)
Let q(f) = 5*f**3 + 18*f - 4*f**3 - 13*f**2 - 9 - 5*f. Let o be q(12). Determine k so that -49/8*k**4 - 17/2*k - 93/4*k**2 - 1 - 175/8*k**o = 0.
-2, -1, -2/7
Let f be 275/(-66)*720/(-100). Factor 0*h + 27/2*h**4 - f*h**3 + 0 + 6*h**2.
3*h**2*(h - 2)*(9*h - 2)/2
Let a(n) = -5*n**2 - 4*n + 1. Let l(t) = 15*t**2 + 5*t. Let m(f) = -7*f**2 - 3*f. Let c(r) = 2*l(r) + 5*m(r). Let h(i) = 5*a(i) - 6*c(i). Factor h(x).
5*(x + 1)**2
Let d = -693/16 + 16035/368. Suppose d*h**2 - 2/23*h**4 + 4/23*h**3 + 0*h + 0 = 0. Calculate h.
-1, 0, 3
Let b(g) = g**3 - g**2 + 3. Let s(d) = -11*d**3 + 71*d**2 - 160*d + 82. Let f(x) = -6*b(x) - s(x). Factor f(a).
5*(a - 10)*(a - 2)*(a - 1)
Let t(o) be the first derivative of -16 + 8*o - 6*o**2 + 4/3*o**3. Factor t(l).
4*(l - 2)*(l - 1)
Factor -305*n - 9*n**3 + 2*n**4 + 299*n - 4*n**2 - 12*n**5 - 11*n**2 + 15*n**5 + n**4.
3*n*(n - 2)*(n + 1)**3
Let d(h) be the first derivative of 1/2*h**2 + 1/5*h**5 + 0*h + 10 + h**3 + 3/4*h**4. Let d(r) = 0. What is r?
-1, 0
Suppose 0 = 3*p + p - 8. Factor -2*f**3 + 4*f**2 + 12 + 14*f**p - 3*f**2 - 24*f - f**3.
-3*(f - 2)**2*(f - 1)
Suppose -16*m + 62 = -2. Suppose u + m = 4*s, 8*s - 4*u + 18 = 9*s. What is d in 1/6*d**3 - 1/6*d**s + 1/6*d**4 + 0 - 1/6*d = 0?
-1, 0, 1
Let j(k) be the second derivative of 1/36*k**3 - 1/120*k**5 - 1/72*k**4 + 0 - 15*k + 1/12*k**2. What is u in j(u) = 0?
-1, 1
Let l(s) be the first derivative of -2 + 1/18*s**6 + 40/9*s**3 + 25/6*s**2 + 0*s + 1/2*s**4 - 8/15*s**5. Let l(k) = 0. Calculate k.
-1, 0, 5
Let m(y) be the third derivative of 0*y - 1/270*y**5 + 1/54*y**4 - 12*y**2 + 1/9*y**3 + 0. Let m(j) = 0. What is j?
-1, 3
Let k(z) = 7*z**3 - z**2 + 3*z - 3. Let i(q) = 20*q**3 - 4*q**2 + 11*q - 10. Let j(w) = 6*i(w) - 17*k(w). Determine f so that j(f) = 0.
1, 3
Let b(p) be the third derivative of 9*p**2 + 1/80*p**5 + 1/160*p**6 - 5/32*p**4 + 3/8*p**3 + 0*p + 0. Factor b(m).
3*(m - 1)**2*(m + 3)/4
Suppose -11*j + 4 + 18 = 0. Factor -5*x**2 - 2*x**4 - 4*x**2 + 10*x**2 - x + x**5 + x**j.
x*(x - 1)**3*(x + 1)
Suppose 8*w = 4*w + 12. Let c = w + 0. Solve -13*s**3 + 36*s**c - 24*s**3 + 2*s**2 = 0 for s.
0, 2
Let x(a) be the second derivative of -a**6/72 - a**5/12 + 13*a**3/6 + 4*a. Let v(f) be the second derivative of x(f). Factor v(z).
-5*z*(z + 2)
Let a(c) be the first derivative of c**3 + 6*c**2 + 9*c + 73. Determine p so that a(p) = 0.
-3, -1
Let v(g) = g**2 - 9*g + 5. Let w be v(-5). Suppose 2*l + 5*i = -14, i + 0*i + 19 = 5*l. Suppose -37*f + w*f**3 - 8*f + 12 + 15*f**2 - l*f = 0. Calculate f.
-1, 2/5
Let b be 10/(-15) - ((-4)/6 + 0). Solve 4/5*z**2 + 0*z + b = 0.
0
Let v(q) be the third derivative of q**7/105 - q**6/20 - q**5/10 + 11*q**4/12 - 2*q**3 + 120*q**2 - 2. Solve v(l) = 0.
-2, 1, 3
Let h(t) = 25*t + 7. Let o be h(4). Let c = 217/2 - o. Solve 3/2*f**4 + 0 + 3/2*f - c*f**2 - 3/2*f**3 = 0.
-1, 0, 1
Let u(h) be the second derivative of -6*h**2 + 1/5*h**5 - 2/3*h**3 + 0 + h**4 + 17*h. What is f in u(f) = 0?
-3, -1, 1
Let d(p) be the first derivative of p**8/224 - p**6/20 + 27*p**2 - 35. Let r(b) be the second derivative of d(b). Solve r(f) = 0.
-2, 0, 2
Let r(g) = g**2 - 14*g - 36. Let w be r(16). Let b be 2*1/w*(-6)/15. Factor -8/5*h - b*h**4 - 12/5*h**2 + 0 - 6/5*h**3.
-h*(h + 2)**3/5
Let x(y) = -4*y**3 - 4*y**2 + 17*y - 15. Let i(p) = 3*p**3 + 2*p + 1. Let m(d) = 4*i(d) + 4*x(d). Factor m(t).
-4*(t - 2)*(t - 1)*(t + 7)
Let b(x) be the third derivative of -x**8/840 + x**6/100 + x**5/75 + 36*x**2. Factor b(j).
-2*j**2*(j - 2)*(j + 1)**2/5
Let v be -1 + (-1)/((-1)/3). Suppose -j - v + 9 = 0. Solve -24*u**2 - j*u + 16*u**3 - 4*u**4 + 15*u + 8*u - 4 = 0.
1
Factor 3/2*i**3 - 17/4*i**2 + 0 + 11/4*i.
i*(i - 1)*(6*i - 11)/4
Let o(l) be the first derivative of -l**3/12 - 9*l**2/8 + 45. Factor o(h).
-h*(h + 9)/4
Let j(s) be the first derivative of 11*s**3/6 - 23*s**2/4 + s + 598. Factor j(z).
(z - 2)*(11*z - 1)/2
Suppose 0 = -5*m - 2*l + 1289, -262 = -5*m + 4*m + l. Let g = m - 257. Determine u, given that -147/5*u**3 - 96/5*u - 231/5*u**g - 12/5 = 0.
-1, -2/7
Let t = 54 - 52. Factor -3*j - 25*j + 3*j - 5*j**t - 30.
-5*(j + 2)*(j + 3)
Let c = 119 + -117. Find t such that c*t**3 + 0*t + 0 - 2*t**4 + 0*t**2 + 1/2*t**5 = 0.
0, 2
Let j(h) = h**3 + 9*h**2 - 3*h + 9. Let w be j(-9). Let n = w + -36. What is z in -1/4*z + n*z**2 + 0*z**4 + 0 - 1/4*z**5 + 1/2*z**3 = 0?
-1, 0, 1
Suppose -63*o + 61*o = -8. Let g(a) be the first derivative of o - 3/8*a**2 + 1/4*a - 1/16*a**4 + 1/4*a**3. Factor g(r).
-(r - 1)**3/4
Let p(b) be the first derivative of 2*b**5/35 + 3*b**4/14 + 2*b**3/21 - 3*b**2/7 - 4*b/7 - 132. Factor p(m).
2*(m - 1)*(m + 1)**2*(m + 2)/7
Let m(g) be the first derivative of 2*g**3/5 + 14*g**2/5 + 16*g/5 - 94. Let m(o) = 0. What is o?
-4, -2/3
Let x(u) be the first derivative of u**3/3 + 3*u**2/2 - 10*u + 149. Suppose x(c) = 0. Calculate c.
-5, 2
Let l(h) = 4*h**2 + 10*h - 6. Let j(d) = -11*d**2 - 30*d + 17. Let p = -82 + 99. Let x(y) = p*l(y) + 6*j(y). Let x(r) = 0. Calculate r.
0, 5
Suppose q = -5*x - 12 - 10, -q - 2*x - 7 = 0. Let o(w) = -3*w**2 - 21*w + 21. Let j(n) = -3*n**2 - 21*n + 20. Let a(d) = q*j(d) - 4*o(d). Factor a(s).
3*(s - 1)*(s + 8)
Let d be (2 - 3 - -3)*(-6)/(-4). Let -49 - 40 + 12*o + 98 + d*o**2 = 0. What is o?
-3, -1
Let g(q) be the third derivative of 3*q**6/40 + 31*q**5/60 - q**4 - 8*q**3/3 - 11*q**2 + 12*q. Factor g(s).
(s - 1)*(s + 4)*(9*s + 4)
Let k(v) = -v**2 - 14*v - 9. Let s(j) = -3*j + 11. Let z be s(8). Let u be k(z). Factor 4*h**2 - 2*h**2 - h**u - h**4.
-2*h**2*(h - 1)*(h + 1)
Let n(t) = -t**2 - t. Let y(q) = 4 - 2 + 19*q - 15*q + 2. Let f(i) = n(i) + y(i). Factor f(a).
-(a - 4)*(a + 1)
Let o(c) be the third derivative of 11*c**2 + 0*c**4 - 1/140*c**6 + 0 + 0*c + 1/140*c**5 + 0*c**3 + 1/490*c**7. Factor o(u).
3*u**2*(u - 1)**2/7
Let r(i) be the second derivative of i**4/42 - 4*i**3/7 - 13*i**2/7 - 117*i. Factor r(s).
2*(s - 13)*(s + 1)/7
Let f = 13 + -11. Let r(c) = -c**2 - 19*c - 90. Let n be r(-10). Let 12/5*a**f + n - 3/5*a**3 - 12/5*a = 0. Calculate a.
0, 2
Let v(k) be the second derivative of -k**4/6 - 11*k**3/3 - 2*k + 4. Factor v(n