 - -115. Let i(x) = q*j(x) - 4*f(x). Factor i(v).
v*(v - 2)*(v - 1)
Let o(q) = 1 - 6*q**2 - q + 2 + 4. Let r(t) = 6*t**2 - 6. Let d(g) = -5*o(g) - 6*r(g). Let u(h) = 5*h**2 - 4*h - 1. Let c(p) = -4*d(p) - 5*u(p). Factor c(m).
-(m - 1)*(m + 1)
Let s(w) = -2*w**4 + 28*w**3 - 16*w**2 - 49*w + 3. Let z(o) = 6*o**4 - 84*o**3 + 46*o**2 + 146*o - 10. Let d(g) = -10*s(g) - 3*z(g). Solve d(n) = 0.
-1, 0, 2, 13
Let m be (-270)/(-210)*644/414. Suppose -4/5 + 1/5*s + 1/10*s**3 + 1/2*s**m = 0. Calculate s.
-4, -2, 1
Let n(x) = -2*x**2 + x + 1. Let h(k) = 15*k**2 + 100*k - 115. Let o be 13 - 9 - (-27)/(-3). Let s(z) = o*n(z) - h(z). Let s(b) = 0. Calculate b.
-22, 1
Find k, given that -40 - 19*k + 131*k**4 + 87*k**2 + 19*k**3 - 48 + 98*k**4 - 228*k**4 = 0.
-11, -8, -1, 1
Suppose -x = t - 19, 2*t + 5 = 7*t. Let f = -47 - -50. Solve x*a + 0 + 1/2*a**f - 6*a**2 = 0.
0, 6
Let k(r) = r**2 - 360*r - 1129. Let p(j) = -360*j - 1130. Let z(s) = -5*k(s) + 4*p(s). Factor z(x).
-5*(x - 75)*(x + 3)
Let d(k) = 18*k**3 + k**2 - k. Let l be d(1). Suppose 4*x + l = 5*a - 0*a, 4*a - 16 = 4*x. Factor 15*m + 10*m - 22*m + 3*m**a.
3*m*(m + 1)
Let l(v) be the first derivative of v**9/13608 + v**8/7560 - v**7/1890 - 122*v**3/3 - 22. Let b(h) be the third derivative of l(h). What is u in b(u) = 0?
-2, 0, 1
Let v be ((-1 - (-17)/(-5)) + (3 - -1))/((-5544)/1320). Suppose 0*m**2 + v*m**4 - 2/21*m**3 + 0*m + 0 = 0. Calculate m.
0, 1
Suppose 2*s - 12 = 5*s. Let t be (-3 - 22/s)*(-24)/(-20). Factor 1/7*n**4 + 0 + 3/7*n**t + 1/7*n + 3/7*n**2.
n*(n + 1)**3/7
Let c(l) be the first derivative of -l**5/5 - 5*l**4/4 + 28*l**3/3 + 16*l**2 + 7805. Factor c(o).
-o*(o - 4)*(o + 1)*(o + 8)
Let r(q) = 3*q**3 + 3*q. Let t = 1 - 5. Let d(o) = 11*o**3 - o**2 + 9*o. Let g(a) = t*d(a) + 14*r(a). Factor g(h).
-2*h*(h - 3)*(h + 1)
Let j(g) = -173*g - 6226. Let t be j(-36). Factor 20 - 10*h - 5*h**t + 5/2*h**3.
5*(h - 2)**2*(h + 2)/2
Let h(i) be the first derivative of 0*i + 0*i**3 - 10 + 0*i**2 - 1/22*i**4 + 2/55*i**5. Suppose h(p) = 0. What is p?
0, 1
Let t(w) be the third derivative of 1/70*w**5 + 0*w**4 - 292*w**2 + 0*w**3 + 0 + 0*w + 1/420*w**6. Factor t(g).
2*g**2*(g + 3)/7
Let w(c) = 54*c**3 - 327*c**2 - 315*c - 11. Let a(t) = -18*t**3 + 110*t**2 + 104*t + 4. Let z(o) = 11*a(o) + 4*w(o). Factor z(l).
2*l*(l + 1)*(9*l - 58)
Let d = 316 - 283. Determine l so that 125*l**2 - 5*l**4 - d*l**3 + 16*l**3 - 728*l + 758*l - 15*l**5 + 122*l**3 = 0.
-2, -1, -1/3, 0, 3
Suppose 2*j + 3*n - 461 = 0, 3*n + 18 = -j + 256. Let f = 223 - j. Factor 0 + 2/7*y**2 + f*y.
2*y**2/7
Suppose 0 = 69*h + 44 - 251. Let f(c) be the first derivative of 0*c + 1 + 1/7*c**h - 6/7*c**2. Factor f(z).
3*z*(z - 4)/7
Let t(p) = -5*p**2 - p + 11. Let j(r) = -r**2 + 2. Suppose 3 = 2*f + 5. Let y be (2/6)/(f*(-1)/18). Let b(n) = y*t(n) - 33*j(n). Factor b(u).
3*u*(u - 2)
Determine o, given that 597/4*o**3 + 1/4*o**4 + 0 + 88803/4*o**2 - 89401/4*o = 0.
-299, 0, 1
Let k(g) = g - 2*g + 5*g - 8134*g**2 + 12 + 8137*g**2. Let n be 3/(-12) + 45/4. Let y(x) = -x**2 - x - 4. Let p(t) = n*y(t) + 4*k(t). Factor p(c).
(c + 1)*(c + 4)
Let v be (0 + 1)*(-14)/(-42)*24. Determine b, given that 9*b**3 + b - 8*b**3 + 11*b + v - 5*b**3 = 0.
-1, 2
Suppose -3 = -s + v + 2, -3*v = -2*s + 14. Let c(l) = 0*l - 5*l - s - l + 7*l. Let d(o) = -4*o**3 + 17*o + 3. Let p(u) = -5*c(u) + d(u). Solve p(b) = 0 for b.
-1, 2
Suppose 272*j = 642*j - 740. Determine d so that 1/5*d**3 - 3/5*d**j + 0*d + 4/5 = 0.
-1, 2
Factor 1/6*q**3 - 16856/3 + 13/6*q**2 - 812/3*q.
(q - 43)*(q + 28)**2/6
Let o(v) be the second derivative of 5*v**4/12 + 17*v**3/6 + 7*v**2 + 87*v. Let a(k) = k**2 + 4*k + 4. Let w(l) = 9*a(l) - 2*o(l). Let w(i) = 0. Calculate i.
-2, 4
Let y(p) be the third derivative of 5*p**6/72 - 31*p**5/8 - 95*p**4/12 + 67*p**3/6 + 83*p**2. Let l(o) be the first derivative of y(o). Factor l(q).
5*(q - 19)*(5*q + 2)
Let a(l) be the first derivative of 7*l**4/18 - 188*l**3/9 - 23*l**2 + 164*l/9 + 757. Determine n so that a(n) = 0.
-1, 2/7, 41
Let a(k) = k**2 + 10*k - 9. Let d be a(-11). Suppose -d*z = -7 - 7. Find u, given that 2*u**3 - 4*u**2 + 3 - z + 4 = 0.
0, 2
Let c(j) be the first derivative of 2*j**3/3 + 394*j**2 + 77618*j - 692. Solve c(m) = 0.
-197
Let m = -1181/212 + 8661/1060. Let 0 + m*j**3 - 3/5*j**4 + 28/5*j**2 + 12/5*j = 0. Calculate j.
-1, -2/3, 0, 6
Let j(p) be the second derivative of -p**7/84 - p**6/6 + 17*p**5/40 + 11*p**4/4 + 1093*p. Determine n, given that j(n) = 0.
-11, -2, 0, 3
Let d(u) be the first derivative of 42 - 1/3*u**3 - 11/8*u**4 + 0*u + 0*u**2. Factor d(l).
-l**2*(11*l + 2)/2
Let y = -862 - -858. Let g(t) = 143*t**2 - 84*t + 8. Let c = -8 + 5. Let f(l) = -144*l**2 + 84*l - 9. Let m(p) = c*g(p) + y*f(p). Find v, given that m(v) = 0.
2/7
Let q(y) = -3*y**3 + 8*y**2 + 7*y + 24. Let c(i) = 7*i**3 - 15*i**2 - 13*i - 53. Let g(s) = 6*c(s) + 13*q(s). Factor g(h).
(h + 2)*(h + 3)*(3*h - 1)
Suppose -4*v - 4 = -44. Suppose 4*k - 5*p = 12 + 41, 0 = 2*p + v. Let -5*o**3 - 170*o**4 + 3*o + k*o**2 - o + 166*o**4 = 0. Calculate o.
-2, -1/4, 0, 1
Factor 2/7*v**2 - 3212/7*v + 1289618/7.
2*(v - 803)**2/7
Let x be (-5)/25 + (-12)/(-20)*7. Factor -37*f + 17*f - 8*f**2 - 40 - 32*f + x*f**3.
4*(f - 5)*(f + 1)*(f + 2)
Let d(y) = -8*y**3 + 146*y**2 + 3*y + 3. Let a(v) = 15*v**3 - 295*v**2 - 5*v - 5. Let p(i) = -3*a(i) - 5*d(i). What is q in p(q) = 0?
0, 31
Let q(s) be the first derivative of 2*s**5/45 - 62*s**4/9 + 2644*s**3/9 - 7564*s**2/9 + 7442*s/9 + 744. What is z in q(z) = 0?
1, 61
Let n be 48/70 - (-49)/(7203/(-42)). Factor -2/5*l - 4/5 + n*l**2.
2*(l - 2)*(l + 1)/5
Let x be 18 - 1288/112 - 6/4. Find c such that 37/5*c**2 + 47/5*c**3 - 9*c**4 + 9/5*c**x - 52/5*c + 12/5 = 0.
-1, 1/3, 2/3, 2, 3
Suppose 16*w - 21*w - m = -29, 0 = 3*w - 5*m + 33. Factor -1/2*v + 0*v**w + 0*v**2 + 0 + v**3 - 1/2*v**5.
-v*(v - 1)**2*(v + 1)**2/2
Determine j so that 22*j**2 + 90 + 7*j**2 - 82*j**2 + 9*j**2 + j**3 - 47*j = 0.
-2, 1, 45
Let g be 45/34 + 6/(-3). Let h = 5/68 - g. Let h*n - 3/8*n**2 + 0 = 0. What is n?
0, 2
Let p(d) be the third derivative of -d**5/330 - 19*d**4/132 - 70*d**3/33 + 8*d**2 - 8. Suppose p(w) = 0. Calculate w.
-14, -5
Let t = 20/1551 - 2022604/7755. Let a = 261 + t. Factor 0*o**2 + 0*o - 1/5*o**5 + 0 + 2/5*o**3 - a*o**4.
-o**3*(o - 1)*(o + 2)/5
Let g be (-26)/(-65) - (-2 + (-4)/(-10)). Factor -9 + 18 + 1 + 75*t - 40*t**g.
-5*(t - 2)*(8*t + 1)
Let p be (6312/48 - 129)/((-190)/(-72)). Factor -14/19*m**2 + 30/19*m + 2/19*m**3 - p.
2*(m - 3)**2*(m - 1)/19
Find s, given that 272/5*s**3 - 86/5 + 432/5*s - 612/5*s**2 - 6/5*s**4 = 0.
1/3, 1, 43
Let q = 6423/2 + -404647/126. Let x(v) be the second derivative of 0 - q*v**7 + 1/9*v**3 + 2/45*v**6 + 0*v**5 + 26*v + 0*v**2 - 1/9*v**4. Solve x(k) = 0.
-1, 0, 1
Let b(v) be the first derivative of -6*v**3/5 + 2*v**2/5 + 22*v/5 + 874. Find p such that b(p) = 0.
-1, 11/9
Let o(i) be the first derivative of -1/12*i**3 + 27/2*i + 286 + 53/8*i**2. Find w such that o(w) = 0.
-1, 54
Let r = 10157 + -10151. Let h(q) be the second derivative of -20*q**3 + 5/6*q**4 - 90*q**2 + 0 - 1/24*q**r + 26*q + 1/2*q**5. Factor h(n).
-5*(n - 6)**2*(n + 2)**2/4
Let g = 115806 + -115802. Factor 1/5*h**g - h**3 - 8/5*h**2 + 0 + 12/5*h.
h*(h - 6)*(h - 1)*(h + 2)/5
Let a(f) be the third derivative of f**5/18 + 211*f**4/18 - 688*f**3/9 - 2356*f**2. Let a(u) = 0. What is u?
-86, 8/5
Let y be (8 + -1)*(8 - 234/21). Let b be y/(-121) + (36/165 - -1). Find r such that -2/5*r**3 + b*r**2 - 7/5*r + 2/5 = 0.
1/2, 1, 2
Let g(w) = 66*w**2 + 56577*w + 20499375. Let x(n) = -5*n**2 - 4352*n - 1576875. Let u(o) = -2*g(o) - 27*x(o). Factor u(q).
3*(q + 725)**2
Determine q, given that -371/9 + 46/9*q + 1/9*q**2 = 0.
-53, 7
Let k(c) be the first derivative of 2*c**6/9 - 56*c**5/15 + 7*c**4/3 + 328*c**3/9 - 88*c**2/3 - 416*c/3 - 154. Suppose k(v) = 0. What is v?
-2, -1, 2, 13
Factor -5*x**3 - 5*x - 8*x**3 + 55 + 20*x**3 - 175*x**2 - 2*x**3 + 120.
5*(x - 35)*(x - 1)*(x + 1)
Let b(h) = -17*h + 228. Let t(y) = 16*y - 230. Let s(i) = -6*b(i) - 7*t(i). Let f be s(24). Factor -x**f + 7/3*x - 2/3 - 7/3*x**3 + 5/3*x**4.
(x - 1)**2*(x + 1)*(5*x - 2)/3
Determine a, given that 13792*a**2 + 164*a**4 + 30420 + 22360*a - 1335*a**3 - 9*a**4 - 40887*a**2 + 13658*a**2 - 5*a**5 + 1368