) - 4*v(d). Factor n(q).
(q - 3)*(2*q - 11)
Let n(f) be the second derivative of f**5/4 + 10*f**4/3 + 95*f**3/6 + 30*f**2 - 42*f. Determine u so that n(u) = 0.
-4, -3, -1
Let n(f) be the second derivative of 0 - 24*f + 1/9*f**3 + 0*f**2 + 2/27*f**4 + 1/90*f**5. Find p such that n(p) = 0.
-3, -1, 0
Let y be (4 - (-183)/(-48))/((-5)/(-20)). What is m in -y*m**2 + 0 + 3/4*m**4 - 3/4*m**3 + 3/4*m**5 + 0*m = 0?
-1, 0, 1
Let x(v) be the first derivative of -5*v**3/3 - 135*v**2 - 3645*v - 72. Factor x(a).
-5*(a + 27)**2
Let t(r) be the third derivative of r**6/300 + 6*r**5/25 + 19*r**4/4 - 722*r**3/15 - 75*r**2. Factor t(p).
2*(p - 2)*(p + 19)**2/5
Let c(m) = m**2 + 37*m + 42. Let j(w) = 2*w**2 + 74*w + 82. Let o(h) = -5*c(h) + 3*j(h). What is r in o(r) = 0?
-36, -1
Let g be (19/228)/((-2)/36*-4). Let c(j) be the first derivative of 3/4*j + 1 - g*j**2 + 3/16*j**4 - 1/4*j**3. Factor c(u).
3*(u - 1)**2*(u + 1)/4
Suppose 397*u**2 + u**3 + u**4 - 10*u + u**3 - 7*u - 398*u**2 + 15*u**3 = 0. What is u?
-17, -1, 0, 1
Let n(a) = -a**3 + 15*a**2 + a - 9. Let x be n(15). Suppose -18*c - 7 + x*c**2 - 3*c**2 + 22 = 0. What is c?
1, 5
Let f(c) be the first derivative of -686*c**6/3 + 784*c**5 - 672*c**4 + 704*c**3/3 - 32*c**2 + 24. Solve f(l) = 0 for l.
0, 2/7, 2
Let h be (-11)/33 + (-1 - (-50)/24). Let c(l) be the first derivative of -4 + 0*l + 3*l**2 - h*l**4 - l**3. Determine r, given that c(r) = 0.
-2, 0, 1
Suppose 2*f = 7*f - 10. Suppose -11*n = f - 46. Factor 1/2*y + 0 + 7/6*y**2 + 5/6*y**3 + 1/6*y**n.
y*(y + 1)**2*(y + 3)/6
Let r(d) be the first derivative of -1/2*d**2 - 6*d + 23 + 1/3*d**3. Find l, given that r(l) = 0.
-2, 3
Let h(u) = -u**2 - 36*u - 308. Let n be h(-14). Factor 3/2*s**5 + n - 9/2*s**3 - 3*s**2 + 0*s**4 + 0*s.
3*s**2*(s - 2)*(s + 1)**2/2
Let b = 3559 + -3559. Find i such that b - 2*i + 2/3*i**2 = 0.
0, 3
Let r be (-1)/(((-33)/(-9))/(-11)). Let g(b) be the first derivative of 7/6*b**r - 1/2*b**2 + 0*b + 9/8*b**4 + 3. Factor g(n).
n*(n + 1)*(9*n - 2)/2
Suppose -6*x = -8*x + 4. Factor 89 - 4*p**x - 8*p**3 - p + 2*p**4 - 71 + 25*p.
2*(p - 3)**2*(p + 1)**2
Let d(g) = -g. Let y(c) be the second derivative of -c**4/4 + 17*c**3/6 - 6*c**2 - 11*c. Let k(o) = -2*d(o) - y(o). Factor k(a).
3*(a - 4)*(a - 1)
Let i(f) = -2*f**2 - 18*f + 2. Let q be i(-9). Factor -2 - 2*g**2 - 2 + 1 + 5*g**q.
3*(g - 1)*(g + 1)
Let c(v) be the third derivative of v**8/112 - v**7/210 - 3*v**6/10 + v**5 - 2*v**4/3 + 160*v**2. Let c(k) = 0. Calculate k.
-4, 0, 1/3, 2
Let v(x) = -47*x**3 + 87*x**2 - 45*x + 5. Let w(k) = -48*k**3 + 88*k**2 - 46*k + 6. Let l = 28 + -16. Let j = -14 + l. Let r(s) = j*v(s) + 3*w(s). Factor r(z).
-2*(z - 1)*(5*z - 2)**2
Solve 11/9*o - 2/9 - 5/9*o**2 = 0 for o.
1/5, 2
Let i be 2/8 + 240/64. Factor -4 + i + 264*a - 267*a + 3*a**2.
3*a*(a - 1)
Suppose -12*t + 14*t + 38 = 2*x, 4*t - 3*x = -77. Let i be t/(-6)*60/50. Suppose 1/5*y**2 - 2/5*y**3 + 2/5*y - 1/5*y**i + 0 = 0. Calculate y.
-2, -1, 0, 1
Factor 3/7*h**5 + 0*h - 9/7*h**3 + 0*h**4 - 6/7*h**2 + 0.
3*h**2*(h - 2)*(h + 1)**2/7
Let a(c) be the first derivative of -c**4/42 - c**3/21 + 2*c**2/7 - 20*c + 2. Let k(i) be the first derivative of a(i). Factor k(b).
-2*(b - 1)*(b + 2)/7
Let j(v) = -15*v**4 - 895*v**3 + 4115*v**2 - 3500*v - 8920. Let f(n) = -n**4 - 64*n**3 + 294*n**2 - 250*n - 637. Let a(s) = 85*f(s) - 6*j(s). Solve a(y) = 0.
-1, 5
Suppose 0 = -2*x + 7*x - 15. Find u such that u**3 - 5*u**x + 6*u**2 - 4*u + 14*u**3 = 0.
-1, 0, 2/5
Let t be -1*(-2)/((-570)/(-245)). Let o = -10/19 + t. Factor 0 + b - o*b**2.
-b*(b - 3)/3
Let j(r) be the first derivative of -r**5/10 + 9*r**4/8 - 14*r**3/3 + 9*r**2 - 8*r + 51. Find u, given that j(u) = 0.
1, 2, 4
Let b(f) be the first derivative of 5*f**4/8 - 25*f**3/6 + 15*f**2/2 - 33. Suppose b(v) = 0. Calculate v.
0, 2, 3
Factor -39/4*s**2 - 45/4 - 87/4*s + 3/4*s**3.
3*(s - 15)*(s + 1)**2/4
Suppose 0 = 118*z + 221*z + 149*z. What is f in z*f**3 + 0 - 1/5*f**2 + 1/5*f**4 + 0*f = 0?
-1, 0, 1
Let c(h) be the third derivative of h**6/720 - h**5/48 + h**4/12 - h**3/3 - 12*h**2. Let p(a) be the first derivative of c(a). Let p(x) = 0. What is x?
1, 4
Let p(j) be the first derivative of j**5/20 + j**4/4 + 5*j**3/12 + j**2/4 + 199. Factor p(v).
v*(v + 1)**2*(v + 2)/4
Solve 1/4*t**2 + 38 + 153/4*t = 0.
-152, -1
Let x(m) be the second derivative of m**7/1680 + m**6/240 - 3*m**5/80 + 2*m**4/3 - 9*m. Let r(j) be the third derivative of x(j). Factor r(u).
3*(u - 1)*(u + 3)/2
Suppose -2*n - 4*d + 1 = -5, -n = -3*d - 13. Suppose 22*v**2 - 4*v**4 + n*v**4 + 14*v**3 - 18*v**5 - v**4 + 4*v - 24*v**4 = 0. Calculate v.
-1, -2/9, 0, 1
Let j(d) = d**2 - 16*d + 55. Let h be j(4). Let o(w) be the second derivative of -1/54*w**4 + h*w - 2/9*w**2 + 0 + 1/9*w**3. Factor o(g).
-2*(g - 2)*(g - 1)/9
Let u = -18705 - -130938/7. Determine c, given that u + 0*c - 3/7*c**2 = 0.
-1, 1
Let q(b) be the first derivative of -5/12*b**3 - 1/16*b**4 + 0*b + 1/20*b**5 - 3/8*b**2 + 10. Let q(o) = 0. Calculate o.
-1, 0, 3
Factor -222/7*m**4 - 108*m**3 + 0*m - 16/7*m**5 + 0 + 14*m**2.
-2*m**2*(m + 7)**2*(8*m - 1)/7
Let h(o) be the first derivative of -8/9*o + 2/27*o**3 - 1/3*o**2 - 41. Find y, given that h(y) = 0.
-1, 4
Let l(u) = 5*u**3 - 2*u**2 - 2*u + 3. Let s be l(1). Let a be 2/(s + 0) - (-9)/30. Factor -4*y**2 + 6/5*y**3 - a + 18/5*y.
2*(y - 2)*(y - 1)*(3*y - 1)/5
Let s be 1 - 6 - (-16 - -6). Let k(y) be the third derivative of -7*y**2 + 3/20*y**s + 1/8*y**3 - 1/20*y**6 + 0 + 0*y - 3/16*y**4. Factor k(t).
-3*(2*t - 1)**3/4
Let l(c) = -4*c**4 - 8*c**3 - 3*c**2 + c + 29. Let i(s) = -5*s**4 - 9*s**3 + 2*s + 30. Let w(t) = 5*i(t) - 6*l(t). Factor w(x).
-(x - 6)*(x - 1)*(x + 2)**2
Let l(f) be the first derivative of -2*f**3/3 - 7*f**2 - 24*f - 169. Factor l(o).
-2*(o + 3)*(o + 4)
Let r(k) be the second derivative of 15/2*k**2 + 3/20*k**5 + 36*k + 7/4*k**4 + 11/2*k**3 + 0. Factor r(m).
3*(m + 1)**2*(m + 5)
Let w be 2/20*(165 + -161). Let t(o) be the first derivative of -2/15*o**3 - w*o**2 + 3 + 0*o. Factor t(x).
-2*x*(x + 2)/5
Suppose 60*q**2 - 17*q**2 - 37*q**3 - 42*q + 9 + 27*q**3 = 0. Calculate q.
3/10, 1, 3
Let u(z) be the second derivative of 1/66*z**4 - 1/11*z**2 - 8*z + 0*z**3 + 0. Suppose u(y) = 0. What is y?
-1, 1
Let z(j) be the second derivative of -j**4/3 - 4*j**3/3 + 6*j**2 + 149*j - 2. Let z(a) = 0. What is a?
-3, 1
Solve 0*c**2 + 3/4*c**3 - 21/4*c - 9/2 = 0.
-2, -1, 3
Let h be 12/(-9)*(-4 + 0 + 0). Find r, given that -h*r - 1/3*r**2 - 64/3 = 0.
-8
Let j be 280/(-200) + (-108)/(-20) + -2. Solve 0*h**3 + 0*h - 3/7 + 6/7*h**j - 3/7*h**4 = 0.
-1, 1
Let n(c) = -c**5 + 3*c**3 + c + 1. Let y(o) = -4*o**5 - 3*o**4 + 15*o**3 + 4*o**2 + 5*o + 5. Let v(g) = 10*n(g) - 2*y(g). Determine z, given that v(z) = 0.
-1, 0, 2
Suppose -77 + 83 = 2*y. Determine j, given that -5*j**3 + j**3 + 5*j**2 - 3*j - j**4 - 4 + 9*j**3 - 2*j**y = 0.
-1, 1, 4
Let w(s) be the third derivative of -s**5/20 + s**4/2 - 214*s**2. Find k, given that w(k) = 0.
0, 4
Let g(p) = -2*p + 12. Let x be g(-5). Let z = x + -18. Factor -28*k**z + 59*k**2 + 7*k - 36*k**3 - 11*k**2 + 9*k.
-4*k*(k - 1)*(k + 2)*(7*k + 2)
Let x(y) be the third derivative of y**6/30 + 2*y**5/15 - 29*y**4/6 - 20*y**3 - 336*y**2. Let x(z) = 0. What is z?
-6, -1, 5
Let d be 858/(-48) + 8 - -11. Let p(r) be the first derivative of 11 - 3/4*r - 3/4*r**3 - 3/16*r**4 - d*r**2. Factor p(v).
-3*(v + 1)**3/4
Let m(x) = -x + 13. Let u be m(16). Let g be -2*(-15)/18 - u/9. Find q, given that -1/6*q**g + 0 + 1/6*q**3 - 1/3*q = 0.
-1, 0, 2
Let y = 12 + -9. Suppose 5*j - 14 = -6*v + 3*v, v - y*j = 0. Factor -4 + v*s**2 - 4 - 3*s + 5 - 3.
3*(s - 2)*(s + 1)
Factor 3/8*r**2 - 3/4 - 3/8*r.
3*(r - 2)*(r + 1)/8
Let f(d) be the second derivative of 12*d - d**3 + 7/12*d**4 - 1/30*d**6 + 0*d**2 + 0 + 0*d**5. Solve f(m) = 0.
-3, 0, 1, 2
Suppose 34*y - 44 = -6 + 64. Factor -5*k**2 + 5/3*k**y + 20/3 + 0*k.
5*(k - 2)**2*(k + 1)/3
Let t(i) be the third derivative of i**5/25 - 41*i**4/30 - 28*i**3/15 - i**2. Find q such that t(q) = 0.
-1/3, 14
Let p(l) be the first derivative of l**6/30 - 8*l**5/15 + 10*l**4/3 - 32*l**3/3 + 9*l**2 + 17. Let b(q) be the second derivative of p(q). What is d in b(d) = 0?
2, 4
Let q = -732 + 732. Let m(b) be the first derivative of q*b - 1/14*b**2 - 1/21*b**