).
-2*n*(n + 11)
Solve -18/5 - 3/5*d**2 + 29/5*d = 0.
2/3, 9
Let c(p) be the second derivative of -p**4/6 + 2*p**3/3 + 8*p**2 - p - 1. Determine v, given that c(v) = 0.
-2, 4
Factor 470/3*m - 2/3*m**3 + 236/3 + 232/3*m**2.
-2*(m - 118)*(m + 1)**2/3
Let f be 4/22 + (-4160)/(-110). Let z be (3/(-6)*f)/(12/(-8)). Factor 14/3*i**2 - 4 - z*i.
2*(i - 3)*(7*i + 2)/3
What is z in 0 + 136/13*z - 2/13*z**4 + 62/13*z**3 + 200/13*z**2 = 0?
-2, -1, 0, 34
Let x(i) be the second derivative of -i**7/189 + 2*i**6/45 - 7*i**5/90 - i**4/9 + 8*i**3/27 + 10*i. Find v, given that x(v) = 0.
-1, 0, 1, 2, 4
Let z(r) = -3*r**4 - r**3 - r**2 + r + 3. Let p(s) = -17*s**4 + 31*s**3 + 385*s**2 + 873*s + 18. Let l(d) = p(d) - 6*z(d). Factor l(c).
c*(c + 3)*(c + 17)**2
Factor 42483/2 + 3/2*f**2 - 357*f.
3*(f - 119)**2/2
Suppose -72*o = -13*o - 32*o. Factor -8/3*d**3 - 2/3*d**4 - 2*d**2 + o*d + 0.
-2*d**2*(d + 1)*(d + 3)/3
Suppose -25*p + 16 + 59 = 0. Let w(k) be the second derivative of p*k + 9/5*k**5 + 0 - 16*k**2 - 2*k**4 - 40/3*k**3. Factor w(i).
4*(i - 2)*(3*i + 2)**2
Let b(j) be the second derivative of 5*j**4/12 + 5*j**3/6 - 50*j**2 + 48*j - 3. Suppose b(g) = 0. Calculate g.
-5, 4
Let c(g) be the third derivative of g**5/90 - g**4/2 + 17*g**3/9 + 2*g**2 - 37*g. Find k, given that c(k) = 0.
1, 17
Let m be 1656/576 + 2/16. Let p(n) be the second derivative of 0*n**2 + 1/6*n**4 + 0*n**m + 5*n + 0. Factor p(c).
2*c**2
Let n(z) be the first derivative of -z**5/30 - z**4/6 + z**3 + 29*z**2/2 - 47. Let p(f) be the second derivative of n(f). Factor p(v).
-2*(v - 1)*(v + 3)
Suppose -4*y + 10 = -9*y. Let h(n) = -n**3 + 3*n - 2. Let r be h(y). Find u such that 2/9*u**2 + r*u - 2/9 = 0.
-1, 1
Let z(c) = 2*c**2 - 50*c - 49. Let t be z(26). Let g(n) be the second derivative of 0 - t*n + 1/2*n**3 + 1/12*n**4 - 1/15*n**5 + 1/3*n**2. Factor g(j).
-(j - 2)*(j + 1)*(4*j + 1)/3
Let k(c) be the first derivative of 8 + 5/18*c**3 - 1/6*c**2 + 1/12*c**6 - 1/24*c**4 + 0*c - 1/6*c**5. Let k(h) = 0. Calculate h.
-1, 0, 2/3, 1
Let q = 19 - 22. Let p(a) = 5*a**4 + 9*a**3 + 7*a**2 - 3*a. Let l(s) = -26*s**4 - 46*s**3 - 34*s**2 + 14*s. Let u(y) = q*l(y) - 14*p(y). Factor u(m).
4*m**2*(m + 1)*(2*m + 1)
Let a(u) be the first derivative of u**4/12 - 8*u**3/9 + 2*u**2 - 84. What is s in a(s) = 0?
0, 2, 6
Let s(h) be the third derivative of h**7/210 + h**6/120 - h**5/10 - 499*h**2. Factor s(q).
q**2*(q - 2)*(q + 3)
Let b(p) = 26*p**3 + 101*p**2 + 319*p + 190. Let r(g) = 6*g**3 + 26*g**2 + 80*g + 48. Let t(w) = 2*b(w) - 9*r(w). Factor t(u).
-2*(u + 1)*(u + 2)*(u + 13)
Suppose 0 = 8*g + 51 + 125. Let d = 22 + g. Determine a so that -2/3*a + 0*a**2 + 0 + 4/3*a**3 + d*a**4 - 2/3*a**5 = 0.
-1, 0, 1
Let t(d) be the second derivative of -d**4/6 + 7*d**3 + 22*d**2 + 49*d. Let t(c) = 0. What is c?
-1, 22
Let w(x) be the second derivative of -x**5/70 - x**4/14 + 3*x**3/7 - 5*x**2/7 - 253*x. Factor w(o).
-2*(o - 1)**2*(o + 5)/7
Let s(x) be the first derivative of 3*x**3 - 27/14*x**2 - 3*x - 4 - 7/4*x**4. Let l(v) be the first derivative of s(v). Factor l(b).
-3*(7*b - 3)**2/7
Let f(a) = -a**3 + 7*a**2 + 18*a. Let b be f(9). Suppose b = -g - 5*u + 17, 7 - 9 = 2*g - 2*u. Factor -4 - 1/4*n**2 + g*n.
-(n - 4)**2/4
Let o(s) be the first derivative of 19 - s**2 + 0*s + 1/5*s**5 + 5/3*s**3 - s**4. Solve o(v) = 0.
0, 1, 2
Find b such that 1/5*b**3 - 7/5*b**2 - 9/5 + 3*b = 0.
1, 3
Suppose 4*s + 22 = 3*v + 3*s, v - 3 = -4*s. Suppose v = 5*c - 83. What is t in -14*t**5 + c*t**2 + 22*t**3 - 42*t**2 + t + 24*t**4 - 9*t = 0?
-1, -2/7, 0, 1, 2
Let n = -336/29 + 701/58. Determine v so that -1/4 + 1/4*v + 3/4*v**2 - n*v**4 - 1/4*v**3 = 0.
-1, 1/2, 1
Suppose 0 = -4*f + t - 2*t + 5, 0 = 3*t + 9. Find l, given that -4*l**f + 5*l**2 + 2*l + 8*l**4 + 7*l**2 + 12*l**3 + 14*l**5 - 12*l**5 = 0.
-1, 0
Let z(l) be the second derivative of 5*l**7/42 + 2*l**6/3 + 5*l**5/4 + 5*l**4/6 + 73*l. Solve z(c) = 0.
-2, -1, 0
Let v(l) be the first derivative of -4*l - 1/3*l**3 + 5/2*l**2 - 12. Factor v(h).
-(h - 4)*(h - 1)
Factor -3/2*g**4 + 3/2*g**3 + 3/2*g**2 - 3/2*g + 0.
-3*g*(g - 1)**2*(g + 1)/2
Let w(b) = b**2 - 5*b - 33. Suppose 5*s = -d + 24, -5*d + 4*d + 6 = -s. Let z be w(d). Solve 36*o + 1/3*o**4 + 27 + 18*o**2 + 4*o**z = 0 for o.
-3
Let u(c) be the first derivative of c**6/1380 - c**4/92 + 2*c**3/69 + 19*c**2/2 + 10. Let q(m) be the second derivative of u(m). Let q(t) = 0. What is t?
-2, 1
Let t = -32428 + 32428. Let t + 35/6*d**2 + 5/3*d**3 + 10/3*d - 5/6*d**4 = 0. Calculate d.
-1, 0, 4
Factor -18*t**2 + 27*t - 31 + 51 + 3*t**3 - 20.
3*t*(t - 3)**2
Suppose q + 3*q - 8 = c, -3*q + 6 = 0. Let o(w) be the second derivative of 0*w**4 - 1/20*w**5 - 4*w + 0 + 0*w**2 + c*w**3. Factor o(j).
-j**3
Let x be (21/(-392))/(1/(-12)). Let w = x - 1/7. Factor -l**2 + 0 + w*l**3 + 1/2*l.
l*(l - 1)**2/2
Let v(b) = 6*b**2 - 8*b + 4. Let n be v(2). Let p be n/(-2)*(-28)/112. What is d in -3/2 + 3*d - p*d**2 = 0?
1
Factor 0*w - 44/3*w**4 - 4/3*w**5 + 0 - 76/3*w**3 - 12*w**2.
-4*w**2*(w + 1)**2*(w + 9)/3
Let k(y) be the first derivative of -y**5/40 + y**4/8 + y**3/6 - y**2 + 94. Solve k(r) = 0.
-2, 0, 2, 4
Let v(j) = 30*j**4 - 42*j**3 + 19*j**2. Let g(z) = -20*z**4 + 28*z**3 - 13*z**2. Let c(h) = -7*g(h) - 5*v(h). Factor c(b).
-2*b**2*(b - 1)*(5*b - 2)
Let f(n) = -29*n**3 + 329*n**2 + 1140*n + 27. Let g(s) = -7*s**3 + 82*s**2 + 285*s + 6. Let t(o) = -2*f(o) + 9*g(o). Determine c, given that t(c) = 0.
-3, 0, 19
Let n(s) be the first derivative of -4/5*s**4 + 9/25*s**5 + 4 + 7/10*s**3 + 6*s - 3/10*s**2. Let v(k) be the first derivative of n(k). Solve v(r) = 0 for r.
1/3, 1/2
Let u be 30*(-1 - (-16)/3). Factor 2*d**2 + 2*d + u - 6*d - d - 127.
(d - 1)*(2*d - 3)
Let o be -1 + 297/(-143) - 5/((-5)/4). Factor -2/13 + o*g - 10/13*g**2.
-2*(g - 1)*(5*g - 1)/13
Factor -125/3*d**5 + 0 + 64/3*d**2 + 100*d**4 + 0*d - 80*d**3.
-d**2*(5*d - 4)**3/3
Let 27/8*b**3 + 165/4*b**2 - 21/8*b**4 + 81/2*b - 15 = 0. Calculate b.
-2, 2/7, 5
Let o(z) be the third derivative of -2*z**7/525 + z**6/50 + z**5/25 - 7*z**4/30 - 4*z**3/5 + 4*z**2 + 16*z. Solve o(g) = 0 for g.
-1, 2, 3
Let r be (-6)/9 + 165/45. Let y(c) be the second derivative of 0 - 1/6*c**2 + c + 1/12*c**4 + 1/9*c**r. What is o in y(o) = 0?
-1, 1/3
Find i, given that -7/2*i**2 + 0 - 1/4*i**3 + 0*i = 0.
-14, 0
Suppose 5*r - 4*r = y - 5, -r = 2*y - 10. Let x**3 + 0*x + y + 2*x**2 + x - 5 = 0. What is x?
-1, 0
Let m(o) be the third derivative of o**8/20160 - o**7/1260 + o**6/180 - o**5/5 - 3*o**2. Let h(a) be the third derivative of m(a). Let h(s) = 0. Calculate s.
2
Let i(p) = 2*p + 19. Let c be i(-8). Suppose 4 = 4*j - f, j - c*f - 12 = -0. Solve 0*s**2 + 1/7*s**5 + 4/7*s**4 + 0*s + j + 4/7*s**3 = 0.
-2, 0
Let o(s) be the second derivative of s**6/1020 - s**4/68 + 2*s**3/51 + 22*s**2 + s - 21. Let z(j) be the first derivative of o(j). Factor z(l).
2*(l - 1)**2*(l + 2)/17
Let k be (-2 - 4)*1/(-2). Suppose -p - 7 + 9 = 0. Factor 2/5*x**k - 2/5*x**p - 2/5*x + 2/5*x**4 + 0.
2*x*(x - 1)*(x + 1)**2/5
Let c(o) = -o**3 - 22*o**2 - 406*o + 978. Let h(u) = 2*u**2 - u + 1. Let w(s) = 3*c(s) - 30*h(s). Factor w(j).
-3*(j - 2)*(j + 22)**2
Let x be 1/2*(5 + (-4 - -9)). Suppose -5*n - x = 0, -2*a + n - 3 + 4 = 0. Factor 2/3*y**4 - 2/3*y**2 - 1/3*y + 0 + a*y**3 + 1/3*y**5.
y*(y - 1)*(y + 1)**3/3
Find m, given that -6 - 7*m**4 - 15*m**3 - 15*m - 3*m - 27*m**2 + 4*m**4 - 3*m = 0.
-2, -1
Let h be (-76)/(-264) + (-110)/(-2420). Factor -1/2 - h*x + 1/6*x**2.
(x - 3)*(x + 1)/6
Let t = -1/330 - -443/990. Let x(y) be the third derivative of 49/360*y**6 + 0*y - 13/18*y**4 + 7*y**2 + 0 + 7/18*y**5 + t*y**3. Factor x(q).
(q + 2)*(7*q - 2)**2/3
Let a(f) = 2*f + 29. Let n be a(-13). Determine l so that 100*l**2 - 179 - 121 - 165*l**2 - 118*l**2 - n*l**4 + 540*l - 54*l**3 = 0.
-10, 1
Let a = 95/22 - -2/11. Find u, given that a*u - 3/2*u**2 - 3 = 0.
1, 2
Let a(g) = g**2 - 848*g - 873. Let k(x) = -845*x - 875. Let f(v) = -5*a(v) + 4*k(v). Factor f(o).
-5*(o - 173)*(o + 1)
Let u(q) = -7*q - 14. Let b be u(-2). Let j(o) be the third derivative of -1/36*o**4 + 0*o + 1/27*o**3 + 1/90*o**5 - 3*o**2 - 1/540*o**6 + b. Factor j(t).
-2*(t - 1)**3/9
Let o(f) be the second derivative of f**6/6 - 37*f**5/4 + 175*f**4/12 + 185*f**3/6 - 90*f**2 - 16*f + 5. Factor o(a).