w**2 - 338*w + 200. Let c(t) = 18*t**3 + 14*t**2 - 84*t + 50. Let b(f) = -18*c(f) + 4*v(f). Factor b(q).
-4*(q - 1)**2*(q + 5)**2
Let n(w) = 35*w**3 - 85*w**2 - 95*w - 25. Let k(q) = -3*q**3 + 7*q**2 + 8*q + 2. Let v(l) = 25*k(l) + 2*n(l). Solve v(a) = 0.
-1, 0, 2
Let u(l) = -20*l - 47. Let m(q) = 13*q + 31. Let t(v) = -8*m(v) - 5*u(v). Let w be t(-5). Find p such that -3 + 4*p**3 + 5 - 3 + 2*p + w*p**2 = 0.
-1, 1/4
Let j be (-19 - -17)*(9 - 11). Suppose 6/7*z**3 + 0*z + 0 + 0*z**2 + 2/7*z**j = 0. What is z?
-3, 0
Suppose 0*n + 4 = 2*n. Suppose -10*g + 2*c = -11*g - 2, -2*c = 4. Factor -6 - 5*t**g + t**n - 5*t - 4*t + t**2.
-3*(t + 1)*(t + 2)
Let p = 65 + -60. Let -2*l + 10*l**3 + p*l**4 - 5*l**5 + 0*l**5 + 2*l = 0. What is l?
-1, 0, 2
Let t = -1883 + 15067/8. Let t*h - 1/8*h**3 + 0*h**2 + 1/4 = 0. What is h?
-1, 2
Suppose 3*i = 3*f + i - 5, -2*i = -4. Let o(z) be the second derivative of -10*z + 1/6*z**2 + 0 - 1/72*z**4 - 1/36*z**f. Find c such that o(c) = 0.
-2, 1
Let i(j) = -j**3 + 10*j**2 - 19*j + 24. Let y be i(8). Let g(s) be the third derivative of 0 + 0*s + 12*s**2 - 1/12*s**5 + 5/24*s**4 + y*s**3. Factor g(w).
-5*w*(w - 1)
Let c = 7049 + -7047. Let -2/9*i**c + 2/9*i**4 + 2/9*i - 2/9*i**3 + 0 = 0. Calculate i.
-1, 0, 1
Let j(o) be the first derivative of -o**4/8 - 5*o**3/2 + 4*o**2 + 446. Determine v, given that j(v) = 0.
-16, 0, 1
Let k(h) = -12*h**3 + 85*h**2 - 864*h - 3456. Let n(b) = 17*b**3 - 128*b**2 + 1296*b + 5184. Let x(d) = -7*k(d) - 5*n(d). Solve x(g) = 0.
-3, 24
Let m(z) be the third derivative of 1/60*z**6 + 0*z**4 + 0 + 2*z**2 + 0*z - 1/30*z**5 + 0*z**3. Factor m(c).
2*c**2*(c - 1)
Let l be (-27 - 630/(-24))/(1/(-4)). Factor 0*n**2 + 2/3*n**l + 0*n + 0 - n**4 - 5/3*n**5.
-n**3*(n + 1)*(5*n - 2)/3
Let g = -18 - -11. Let t(r) = 16*r**2 + 36*r + 36. Suppose 0 = 2*z - 2 - 8. Let o(y) = 11*y**2 + 24*y + 24. Let d(x) = g*o(x) + z*t(x). Solve d(h) = 0 for h.
-2
Let w(a) be the second derivative of 19/4*a**5 + 0 + 0*a**2 - 5/6*a**4 + 0*a**3 - 4*a**6 + 29*a. What is h in w(h) = 0?
0, 1/8, 2/3
Let f(v) be the third derivative of v**8/30240 + v**7/11340 - v**6/3240 - v**5/540 - v**4/4 - 15*v**2. Let w(n) be the second derivative of f(n). Factor w(y).
2*(y - 1)*(y + 1)**2/9
Suppose 4 = -3*s + 4*s. Suppose s*x - 3*b - 7 - 10 = 0, -5*b = -3*x + 21. Determine w so that 12*w**3 - 6*w - w**x + 6*w**2 - 8*w**2 + 9*w**4 = 0.
-1, 0, 2/3
Let w = -306 + 306. Let g(j) be the first derivative of -2*j + j**4 + 2 + 2/5*j**5 - 2*j**2 + w*j**3. Determine p so that g(p) = 0.
-1, 1
Suppose -5*x + 20 = -0*x. Suppose v = 0, 2*o + x*v - 4 = 5*v. Solve 19 + 4*y**o - y**2 - 19 = 0 for y.
0
Let j = -5 + 9. Suppose -j*b + 12 = 4*h, -7 = -b - 5*h - 0. Solve -2*o**3 - 3*o**3 + b*o**3 - o**4 = 0 for o.
-3, 0
Let c be 8/(-10)*410/(-164). Let h = 1 + -1. Factor h*z**c + 3/4*z**3 + 0 + 0*z.
3*z**3/4
Determine q, given that -2452/7*q**3 - 2592/7*q**4 + 372/7*q + 136/7*q**2 - 320/7*q**5 + 8 = 0.
-7, -1, -1/4, 2/5
Find k such that 6*k**4 + 4/3 + 74/3*k**2 + 10*k + 22*k**3 = 0.
-2, -1, -1/3
Suppose 0 = 2*h - h + 1. Let i be h/(-3) + 32/12. Factor 2*k**3 + 3*k**i - 2*k**3 - 9 + 9*k**2 - 3.
3*(k - 1)*(k + 2)**2
Let p be 4/6 + (-4)/(-3) - -324. Factor x - 4*x + p - 326 + 3*x**3.
3*x*(x - 1)*(x + 1)
Let h(b) be the third derivative of b**5/20 - 41*b**4/8 - 43*b**3 + 209*b**2. Factor h(j).
3*(j - 43)*(j + 2)
Let y(b) be the first derivative of 2*b**3/27 + 22*b**2/3 - 134*b/9 + 111. Determine l, given that y(l) = 0.
-67, 1
Let o = 18802/11 + -1708. Determine j so that 0*j + 0 - o*j**5 + 46/11*j**4 - 40/11*j**3 + 8/11*j**2 = 0.
0, 2/7, 1, 2
Let x(r) be the third derivative of r**6/600 + 21*r**5/100 + 441*r**4/40 + 3087*r**3/10 + 3*r**2. Solve x(k) = 0 for k.
-21
Suppose 2*j - 3 = -2 + 5. Factor 2/3*q**j + 0*q + 0 + 4/15*q**2 + 8/15*q**4 + 2/15*q**5.
2*q**2*(q + 1)**2*(q + 2)/15
Let b(t) be the second derivative of 0 - 6*t**3 + 54*t**2 - 22*t + 1/4*t**4. Factor b(x).
3*(x - 6)**2
Let w(q) be the second derivative of 2*q**6/5 - q**5/5 - q**4 + 2*q**3/3 + 8*q + 14. Factor w(o).
4*o*(o - 1)*(o + 1)*(3*o - 1)
Let w(a) = 2*a**4 - 29*a**2 + 255*a**3 - 6 + 2 + 24*a - 247*a**3. Let q(z) = z**4 - z**2 - 1. Let r(m) = 3*q(m) + 3*w(m). Determine y, given that r(y) = 0.
-5, 1/3, 1
Let z(j) = 162*j**3 + 7899*j**2 + 7872*j + 1971. Let m(i) = 16*i**3 + 790*i**2 + 787*i + 197. Let b(g) = 21*m(g) - 2*z(g). Factor b(a).
3*(a + 65)*(2*a + 1)**2
Let v(x) be the third derivative of 5*x**8/168 + 11*x**7/42 + x**6/2 + 90*x**2. What is u in v(u) = 0?
-4, -3/2, 0
Suppose -4*z + 192 = -112. Let f = -224/3 + z. Find r, given that 0 - f*r + 2/3*r**2 = 0.
0, 2
Let f(g) be the third derivative of -g**6/60 + g**5/30 + 5*g**2 - 8*g. Factor f(t).
-2*t**2*(t - 1)
Factor n**4 + 88*n + 9*n**3 - 36*n**2 - 20*n**3 + 13*n**3 - 64.
(n - 2)**3*(n + 8)
Let d(u) be the first derivative of 1/4*u**4 - 12 + 2/3*u**3 - 7/2*u**2 + 4*u. Factor d(v).
(v - 1)**2*(v + 4)
Let -40*l**2 - 11*l**2 + 37*l + 2*l + 11*l**2 + 36 + 4*l**4 - 6*l**3 + 15*l = 0. What is l?
-3, -1/2, 2, 3
Determine q so that -4*q - 58 - 14*q + 4*q**2 - 62 + 14*q = 0.
-5, 6
Let m(d) be the third derivative of -1/240*d**5 + 0 + 1/16*d**4 + 0*d + 3*d**2 - 3/8*d**3. Find j, given that m(j) = 0.
3
Let d(s) be the first derivative of 21*s**5/5 - 45*s**4/16 + s**3/2 - 19. Solve d(o) = 0 for o.
0, 1/4, 2/7
Let b(y) be the third derivative of y**6/24 + 19*y**5/12 + 50*y**4/3 - 250*y**3/3 + 140*y**2. Factor b(g).
5*(g - 1)*(g + 10)**2
Let q(c) = -2*c**3 + 2*c**2 - 6*c - 6. Let u(w) = -w - 1. Suppose -19*b = -15*b + 4. Let a(l) = b*q(l) + 6*u(l). Factor a(y).
2*y**2*(y - 1)
Suppose -3 + 11 = -4*a. Let d be (27/(-33) - a) + -2 + 1. Factor -2/11*k**2 + 4/11 - d*k.
-2*(k - 1)*(k + 2)/11
Let q(p) = p**2 - 7*p + 22. Let b be q(4). Suppose -d - 2*h = -b, -3*d + 6*d = 5*h - 3. Factor 8*v - 16/3 + 2/3*v**3 - d*v**2.
2*(v - 2)**3/3
Suppose -4*u + 12 = 0, -6*u = -3*y - u. Let g(p) = 2*p**2 + 4*p - 4. Let m be g(1). Factor 2*r - 8*r**3 + 7*r**2 + 6*r**y + 5*r**m + 0*r**4 - 7*r**4 - 4 - r**4.
2*(r - 1)**3*(r + 1)*(3*r + 2)
Let h = -4 + 10. Let x be (-8)/4 + 1*h. Factor -3*g**3 + 15*g - 6 - 9*g**2 + 0 + 0*g**2 + 3*g**x.
3*(g - 1)**3*(g + 2)
Suppose 2*z = -4*f - 1096, 5*z - 4*f + 2754 = -0*z. Let c be ((-5)/(z/(-45)))/((-6)/8). Factor 0 + 0*d + 2/11*d**2 - c*d**3 + 4/11*d**4.
2*d**2*(d - 1)*(2*d - 1)/11
Let k be (-2)/3 - (-726)/9. Find h such that 59*h**2 - 7*h**3 + 44*h**2 - k*h**2 - 6*h = 0.
0, 2/7, 3
Let y = -6466 + 6468. Factor -2/23*c**y - 4/23*c + 6/23.
-2*(c - 1)*(c + 3)/23
Let h = -4749/5 + 43064/55. Let n = h + 167. Let 6/11*f**2 + 6/11*f + 2/11 + n*f**3 = 0. Calculate f.
-1
Let a(u) = -4*u**4 - 24*u**3 - 12*u**2. Let m(p) = p**4 + 3*p**3 + p**2. Let z(j) = -a(j) - 8*m(j). Factor z(n).
-4*n**2*(n - 1)*(n + 1)
Factor 49*m + 1/4*m**3 + 0 + 7*m**2.
m*(m + 14)**2/4
Let i(y) be the third derivative of y**7/70 - y**6/10 - 2*y**2 - 111*y. Factor i(l).
3*l**3*(l - 4)
Let k(q) be the third derivative of -q**5/20 - q**4/4 - 172*q**2. Factor k(u).
-3*u*(u + 2)
Let l(p) be the first derivative of -12/7*p**2 + 22 - 10/21*p**3 - 8/7*p. Solve l(h) = 0 for h.
-2, -2/5
Let -1/3*v**3 - 23/3*v + 5*v**2 - 1/3*v**4 + 10/3 = 0. What is v?
-5, 1, 2
Let j(k) be the third derivative of k**7/210 - k**6/60 - k**5/15 + k**4/12 + k**3/2 + 28*k**2. Let j(d) = 0. Calculate d.
-1, 1, 3
Let j = -16 - -30. Let d be (-16)/(-56) + (-4)/j. Find b such that 4/3*b**2 + 0 + 4/3*b**3 + d*b = 0.
-1, 0
Factor -36*y - 24*y**2 + 78*y**2 + 64 - 26*y**2 - 26*y**2.
2*(y - 16)*(y - 2)
Let j(o) be the second derivative of -3/10*o**5 - 1/4*o**3 + 5/12*o**4 + 1/10*o**6 + 0*o**2 + 3 - 1/84*o**7 - 14*o. Factor j(a).
-a*(a - 3)*(a - 1)**3/2
Let u(r) be the third derivative of r**5/80 - 7*r**4/32 + 3*r**3/4 - 3*r**2 + r. Suppose u(n) = 0. What is n?
1, 6
Let p be 4/22 - (-588)/154. Factor 3*j**4 + 3*j**4 - 9*j**p + 3*j**3.
-3*j**3*(j - 1)
Let h be -3*((-2)/15)/(120/75). Let r = 0 - 0. Suppose 1/4*k**3 + r - 1/4*k**2 - 1/4*k + h*k**4 = 0. Calculate k.
-1, 0, 1
Let j(r) = -r**3 + 1. Let h(s) = -4*s**2 + 16 - 20*s**3 + 0 + 12*s**2. Suppose -c = -f + 4*c - 24, 0 = c - 5. Let n(z) = f*h(z) - 16*j(z). Factor n(v).
-4*v**2*(v - 2)
Let t = 157 + -160. Let r(q) = -4*q**3 - q - 2*q**2 + 4*q**2 + 4*q. Let o(h) = 3*h**3 - h**2 - 2*h.