Factor j(f).
-2*(f - 1)*(f + 3)/11
Let r be (75/6)/5*453/1510. Factor 1/8*d**3 + r + 3/4*d**2 + 11/8*d.
(d + 1)*(d + 2)*(d + 3)/8
Let z = -1396090 - -1396118. Solve -68/7*x**3 + z*x**5 + 44*x**4 - 292/7*x**2 - 16/7 - 128/7*x = 0 for x.
-1, -2/7, 1
Let z(l) = -l**2 + 654*l + 106935. Let x(a) = a**2 - 3. Let y(f) = 2*x(f) + z(f). Factor y(q).
(q + 327)**2
Find w, given that -743/4*w**2 - 49/4*w**3 + 1014 - 3263/4*w - 1/4*w**4 = 0.
-24, -13, 1
Let t(w) = -95*w**2 + 475*w - 600. Let f(s) = 7*s**2 - 34*s + 43. Let r(x) = -55*f(x) - 4*t(x). Suppose r(p) = 0. What is p?
-7, 1
Let l(i) be the second derivative of -11*i**3/6 - 119*i**2/2 - 2*i. Let j be l(-11). Factor 8/7*o + 2/7*o**j + 6/7.
2*(o + 1)*(o + 3)/7
Suppose -3*a - 27 = p - 6*p, -a = -3*p + 13. Let q be (22/(-33))/(a/(-6)) + 5. Factor -3*x**5 - 4*x**q - 2*x**3 - 8*x**4 - 6*x**2 - 13*x**3.
-3*x**2*(x + 1)**2*(x + 2)
Solve -2 - 4*p**2 - 3 + 9*p + 4*p + 13 + 18*p = 0.
-1/4, 8
Let g(i) = -3*i**2 - i - 3. Let q(l) = 3*l**3 - 96*l**2 - 111*l + 18. Let h(j) = 6*g(j) + q(j). Let h(r) = 0. Calculate r.
-1, 0, 39
Determine z, given that -1/2*z**2 - 4608 + 96*z = 0.
96
Suppose -22 = -11*j - 0*j. Factor -9 - 15*w**j + 18*w**2 - 9 + 3*w.
3*(w - 2)*(w + 3)
Let h be 2/8 - ((-2115)/20 - 2). Let o = 111 - h. Determine n, given that -6*n**2 - 2*n - 7 + n**3 + 13 - 3*n**o + 4*n**3 = 0.
-1, 1, 3
Let n(w) be the third derivative of -w**8/672 - w**7/15 - 3*w**6/5 + 43*w**5/60 + 497*w**4/48 + 49*w**3/2 - 3310*w**2 + 1. Let n(r) = 0. Calculate r.
-21, -7, -1, 2
Let n(x) = -x**3 - 9*x**2 + 19*x - 19. Let d be n(-11). Suppose -5*r + 0*r = -d*r. Determine w so that 0 + r*w**3 + 0*w + 2/3*w**5 + 8/3*w**2 - 2*w**4 = 0.
-1, 0, 2
Let q(p) = p**3 + 67*p**2 + 66*p - 12. Let o be q(-66). Let g be 36/(-210) + o/(-21). Factor -6/5*i**2 + 4/5*i + g*i**3 + 0.
2*i*(i - 2)*(i - 1)/5
Let s = 703 + -700. Let d(z) be the first derivative of 9 + 1/6*z**4 + 0*z - 4/9*z**s + 1/3*z**2. Factor d(w).
2*w*(w - 1)**2/3
Suppose -141 = -5*s + 9. Factor 24*d + 15*d - 3*d**3 - 117*d**2 + s + 123*d**2.
-3*(d - 5)*(d + 1)*(d + 2)
Suppose 0 = 3*x + n + 4973 - 4976, 0 = -5*x + 2*n + 16. Suppose 3/7*z**x + 36/7 - 3*z = 0. Calculate z.
3, 4
Let j(t) = 2*t**3 - t - 1. Let c(l) = -3*l**4 - 786*l**3 - 47607*l**2 - 90006*l + 138402. Let b(f) = c(f) + 18*j(f). What is w in b(w) = 0?
-124, -3, 1
Let c(k) be the second derivative of -937*k**4/36 - k**3/3 - 8*k - 12. Factor c(s).
-s*(937*s + 6)/3
Let r(l) be the third derivative of -l**7/735 + 53*l**6/420 - 137*l**5/35 + 264*l**4/7 - 1152*l**3/7 + 6*l**2 - 121*l. What is c in r(c) = 0?
2, 3, 24
Let w = -76606 - -310237/4. Let q = w + -953. Suppose 0 - q*g + 1/4*g**2 = 0. Calculate g.
0, 1
Let -680*a - 2/5*a**3 + 18496/5 + 152/5*a**2 = 0. Calculate a.
8, 34
Let n(p) be the first derivative of p**4/7 - 1280*p**3/7 + 2903. Suppose n(l) = 0. What is l?
0, 960
Let y be -38 - -13 - 4 - 58/(-2). Find m, given that 0*m**2 + y*m + 18/5*m**4 + 0 + 8/5*m**5 + 4/5*m**3 = 0.
-2, -1/4, 0
Let f = 286/885 - 56/295. Let j(r) be the first derivative of 3/10*r**2 - 1/20*r**4 - f*r**3 - 9 + 0*r. Solve j(i) = 0 for i.
-3, 0, 1
Suppose 31 = -3*r - 5*x, -2*r - 6*x + x - 29 = 0. Let o(d) = -3*d**2 - 18*d + 17. Let w(v) = -v**2 - 4*v + 1. Let q(g) = r*w(g) + 2*o(g). Factor q(t).
-4*(t - 1)*(t + 8)
Let j(y) be the second derivative of y**6/72 + 23*y**5/24 - y**3/6 + 3*y**2/2 - 2*y + 12. Let d(l) be the second derivative of j(l). Factor d(t).
5*t*(t + 23)
Let x = -63141 - -568271/9. Let x*o**2 + 722/9 - 76/9*o = 0. What is o?
19
Let r = -2703/2 - -1354. Let -5/2*w**3 + 5/2*w**2 + 5/2*w - r = 0. Calculate w.
-1, 1
Let t = -49 - -49. Suppose t = -0*b - 5*b + 10. Let p(j) = -46*j**2 - 70*j - 27. Let w(r) = 137*r**2 + 209*r + 81. Let l(u) = b*w(u) + 7*p(u). Factor l(z).
-3*(4*z + 3)**2
Let g be ((8 - 12) + 3)*6 + 62/6. Let h(w) be the first derivative of 3/2*w**4 + g*w**3 + 4*w + 1/5*w**5 + 6*w**2 + 23. Let h(f) = 0. Calculate f.
-2, -1
Suppose 22*w - 13*w - 729 = 0. Factor 81*h + 2*h**4 - w*h**3 + 3*h**2 + 7 - 5*h**4 - 6 - 1.
-3*h*(h - 1)*(h + 1)*(h + 27)
Let f(p) be the second derivative of 0 - 11/21*p**3 + 1/4*p**4 + 4/7*p**2 - 12*p - 2/35*p**5 + 1/210*p**6. Find l, given that f(l) = 0.
1, 2, 4
Suppose -147*y = -186*y + 156. Let x(n) be the first derivative of 0*n**2 + 3/4*n**3 - 3/16*n**y - 3*n - 15. Factor x(r).
-3*(r - 2)**2*(r + 1)/4
Let y(l) be the first derivative of -l**6/3 + 118*l**5/5 + 61*l**4/2 - 118*l**3/3 - 60*l**2 - 3111. What is s in y(s) = 0?
-1, 0, 1, 60
Let w be (27 + (-4851)/165)*(-30)/(-84)*-4. Factor -20/7*h**2 + 0 - w*h + 4/7*h**3.
4*h*(h - 6)*(h + 1)/7
Let c = 505523/180 + -25822/9. Let b = 249/4 + c. Solve 6/5*t**2 - 4/5*t**3 - b - 2/5*t**4 + 8/5*t = 0 for t.
-2, 1
Let a = 5384 - 5382. Factor 0 + 1/3*y**2 + a*y.
y*(y + 6)/3
Let b be (-6 - -1)*(-28)/350. Suppose 882/5 + 84/5*s + b*s**2 = 0. Calculate s.
-21
Find v such that -4343*v + 36*v**2 - 137 - 371 + 2*v**3 + 52 + 4281*v = 0.
-19, -3, 4
Let q be 9882/8*26/(-26). Let u = 1236 + q. Factor 0*n + u*n**5 + 0 - 1/4*n**3 + 1/2*n**2 - n**4.
n**2*(n - 1)**2*(3*n + 2)/4
Let c = -6555 + 13113/2. Let g(u) be the second derivative of -c*u**4 - 20*u - 16*u**2 + 0 + 1/10*u**5 + 8*u**3. Suppose g(i) = 0. What is i?
1, 4
Suppose 11 - 3*s - 5/4*s**2 = 0. Calculate s.
-22/5, 2
Let k(g) = 18*g**2 - 14066*g + 2737930. Let n(u) = 2*u**2 - 1563*u + 304215. Let v(a) = 6*k(a) - 52*n(a). Factor v(m).
4*(m - 390)**2
Let x(i) = -9*i**3 + 13*i + 11. Let s(j) = -4*j**3 + 6*j + 5. Let m(c) = -2 - 2 + 0 + 5*c + 3 + c**2. Let b be m(-3). Let t(v) = b*s(v) + 3*x(v). Factor t(l).
(l - 2)*(l + 1)**2
Let i(p) be the third derivative of p**6/240 - 47*p**5/120 - p**4 - 3097*p**2. Determine k so that i(k) = 0.
-1, 0, 48
Let l(a) be the first derivative of -2/7*a**2 + 8/7*a + 66 - 4/21*a**3. Let l(m) = 0. Calculate m.
-2, 1
Suppose -2*w = -17*o + 12*o + 16, -28 = -4*w - 5*o. Factor 57/8*r + 3/8*r**3 + 33/8*r**w + 27/8.
3*(r + 1)**2*(r + 9)/8
Let c(q) be the second derivative of q**5/10 - 5*q**4/6 + 2*q**3 - q - 228. Determine u, given that c(u) = 0.
0, 2, 3
Let u(n) be the first derivative of n**7/168 - n**6/36 + 6*n**3 + 109. Let j(y) be the third derivative of u(y). Factor j(a).
5*a**2*(a - 2)
Let m(c) be the third derivative of 0*c + 2/69*c**4 - 1/690*c**5 - 39*c**2 - 4/69*c**3 + 1/483*c**7 + 0 - 7/1380*c**6 - 1/3864*c**8. Solve m(y) = 0 for y.
-1, 1, 2
Let k = -353 + 356. Suppose 5*c**2 - 4*c**k - c**4 + 7805*c - 7805*c = 0. Calculate c.
-5, 0, 1
Let k be 2*(-2)/10 - 72/(-30). Factor -m**3 - 12*m - 2*m**k - 7*m**2 + 5*m**2 - 3*m**2.
-m*(m + 3)*(m + 4)
Factor 1/6*r**2 + 1778/3*r + 1580642/3.
(r + 1778)**2/6
Let v(q) be the third derivative of -q**8/1120 + 13*q**7/840 - q**6/40 + 15*q**4/8 - 42*q**2. Let k(u) be the second derivative of v(u). Factor k(r).
-3*r*(r - 6)*(2*r - 1)
Let j(r) be the third derivative of r**8/171360 - r**7/7140 + r**6/765 - 23*r**5/20 + 80*r**2. Let m(y) be the third derivative of j(y). Factor m(b).
2*(b - 4)*(b - 2)/17
Let x(m) be the first derivative of -m**4/4 - 47*m**3/3 - 88*m**2 - 172*m - 1627. Find y such that x(y) = 0.
-43, -2
Find w, given that 436*w - 58 - 15/2*w**2 = 0.
2/15, 58
Let c(t) be the second derivative of 0 - 6*t**3 + 0*t**2 + 213*t + 11/4*t**4 + 3/20*t**5. Factor c(i).
3*i*(i - 1)*(i + 12)
Let v(h) be the third derivative of h**9/5040 + h**8/448 + h**7/210 + 9*h**4/4 + 2*h**2 - 4*h. Let t(p) be the second derivative of v(p). Factor t(a).
3*a**2*(a + 1)*(a + 4)
Suppose 178*s + 707 + 678 = 455*s. Solve 16/3*u - 4*u**3 - 4/3*u**s + 0 + 20/3*u**4 - 20/3*u**2 = 0.
-1, 0, 1, 4
Factor 133/6*p + 1/6*p**2 + 131/3.
(p + 2)*(p + 131)/6
Let w(j) = -2*j**5 - 38*j**4 - 253*j**3 - 613*j**2 - 133*j + 1019. Let i(p) = p**3 + p**2 + p + 1. Let a(c) = -5*i(c) - w(c). Determine y, given that a(y) = 0.
-8, -4, 1
Solve -178/17*n**3 + 0 + 0*n + 52/17*n**2 - 14/17*n**4 = 0 for n.
-13, 0, 2/7
Let z(s) be the second derivative of 0 - 5/84*s**7 + 0*s**3 + 0*s**2 + 1/8*s**5 + 5/24*s**4 - 100*s - 1/12*s**6. Let z(i) = 0. What is i?
-1, 0, 1
Let i(c) = 5*c**2 + 213*c + 774. Let d be i(-4). Factor -7/3 + 1/6*f**3 - 2/3*f**d - 19/6*f.
(f - 7)*(f + 1)*(f + 2)/6
Suppose -5*h + 41 + 49 = 0, h + 19 - 67 = -5*i. Factor -2/5*r**3 + i*r - 72/5 + 4/5*r**2.
-2*(r - 3)**2*(r + 4)/5
Let 