3/9 + (-8)/(-24). Factor -3*a - 1125*a**4 - 5*a**2 - 2*a + 5*a**3 + 1130*a**n.
5*a*(a - 1)*(a + 1)**2
Let s be (-6)/15 - 76/(-65). Let j be (0 - -8) + (-272)/(-6)*423/(-2444). Suppose 0 - 6/13*o**3 - 10/13*o**2 - j*o + 8/13*o**5 + s*o**4 = 0. Calculate o.
-1, -1/4, 0, 1
Let m(x) = x**3 - 6*x**2 - 5*x - 7. Let o be m(7). Suppose 476 - 490 = -o*s. Let 2/13*f**4 + 24/13*f + 8/13 + s*f**2 + 12/13*f**3 = 0. Calculate f.
-2, -1
Let a be (-11 + (7 - 136/(-16)))*(-8)/(-9). Determine x, given that -36/5*x - 1/5*x**4 + 17/5*x**2 + 0*x**3 + a = 0.
-5, 1, 2
Let z = 2588305235/623 + -4154582. Let f = z - -9/89. Factor f*i - 2/7*i**3 + 8/7 - 2/7*i**2.
-2*(i - 2)*(i + 1)*(i + 2)/7
Let y(j) = -14*j**2 - 83*j - 315. Let q(a) = -59*a**2 - 333*a - 1260. Let v(u) = -3*q(u) + 13*y(u). Suppose v(o) = 0. What is o?
-9, -7
Let a = 3738 - 78487/21. Let q(w) be the first derivative of 10 + a*w**3 - 5/14*w**2 - 2/7*w - 1/7*w**4. Factor q(n).
-(n - 2)*(n - 1)*(4*n + 1)/7
Let u = 8812 + -97002/11. Let f = 556/77 + u. Let -f + 9/7*z - 3/7*z**2 = 0. Calculate z.
1, 2
Let w be (-1 - -3) + (11 - 5). Let x be 9*(w + (-420)/54). Let 12/17*y + 2/17 + 18/17*y**x + 8/17*y**3 = 0. What is y?
-1, -1/4
Let d(t) be the first derivative of -t**4/7 + 16*t**3/21 + 2*t**2/7 - 16*t/7 + 1114. Factor d(u).
-4*(u - 4)*(u - 1)*(u + 1)/7
Let z(m) be the second derivative of -m**5/10 + 319*m**4/6 - 634*m**3/3 - 3*m - 154. Factor z(x).
-2*x*(x - 317)*(x - 2)
Let z(a) be the first derivative of 3*a**5/10 - 99*a**4/8 + 143*a**3 - 144*a**2 - 768*a + 1002. Find r such that z(r) = 0.
-1, 2, 16
Suppose -34054*k**5 + 34059*k**5 + 118*k**3 + 360*k**2 - 483*k**3 = 0. Calculate k.
-9, 0, 1, 8
Let s(u) = -48*u**2 - 3478*u - 229. Let x(w) = -4*w**2 - 2*w - 1. Let g(f) = s(f) + 3*x(f). Factor g(i).
-4*(i + 58)*(15*i + 1)
Let p = 1952 - 1946. Let t be 4/(-20) - (6 + (-66)/p). Let -36/5*i - 4/5*i**3 + 0 - t*i**2 = 0. Calculate i.
-3, 0
Solve 315*z + 9*z**2 + 18*z**2 - 355*z + 18*z**2 - 5*z**3 = 0.
0, 1, 8
Find o, given that 0 - 112/17*o - 114/17*o**2 - 2/17*o**3 = 0.
-56, -1, 0
Let o = -1337/4 - -335. Let u(r) be the second derivative of -7/24*r**3 + 0 + 1/80*r**5 - o*r**2 + 0*r**4 - 30*r. Suppose u(s) = 0. What is s?
-2, -1, 3
Suppose 4*m - 30 = -o, 5*m = 1758*o - 1755*o + 29. Factor 4/5*a**3 - 2/15*a**4 + 8/15*a - 6/5*a**o + 0.
-2*a*(a - 4)*(a - 1)**2/15
Suppose -m + 6 = 2. Let s be m + 3 + 8/(-2). Solve -2*q**s - 4*q**3 + 43*q**4 - 27*q**4 - 19*q**4 = 0.
-2, 0
Let h(z) be the third derivative of -5/8*z**3 + 1/96*z**6 - 87*z**2 + 0*z - 5/96*z**4 + 1/16*z**5 + 0. Solve h(o) = 0 for o.
-3, -1, 1
Factor 45*c**2 - 55 - 79*c + 64*c**2 + 66*c**2 + 16 - 177*c**2.
-(c + 39)*(2*c + 1)
Suppose -5*d = 21*d - 520. Let r = -91/5 + d. Let 3/5*w**2 - r*w + 0 = 0. What is w?
0, 3
Let y be 132/(-11) + 725/60. Let o(c) be the third derivative of 0 + 0*c**4 + 1/120*c**5 - 10*c**2 + 0*c - y*c**3. Factor o(z).
(z - 1)*(z + 1)/2
Let n be 752 + -731 - (-104)/(-5). Solve 0 - 1/5*q**2 + 1/5*q**4 - n*q**5 + 3/5*q**3 - 2/5*q = 0.
-1, 0, 1, 2
Suppose -3*j - 8*h + 9*h + 18 = 0, 3*j + 6 = -h. Let 208/21*v - 5408/21 - 2/21*v**j = 0. Calculate v.
52
Let f(g) be the first derivative of -2*g**5/15 - 1453*g**4/3 - 625328*g**3 - 302345442*g**2 + 606568806*g - 2193. Factor f(r).
-2*(r - 1)*(r + 969)**3/3
Let l(b) = -b**4 - 1 + 3*b**2 - b**3 - b**5 - 12*b**2 + 8*b**2. Let i(d) = 3*d**5 + d**4 + 3*d**3 + 7*d**2 + 2*d + 4. Let q(s) = i(s) + 4*l(s). Factor q(f).
-f*(f - 1)*(f + 1)**2*(f + 2)
Let f(g) be the second derivative of 7 + 19/4*g**5 + 4*g + 40*g**2 - 4/3*g**6 + 5/42*g**7 - 10/3*g**4 - 50/3*g**3. Solve f(t) = 0.
-1, 1, 2, 4
Let w(m) be the first derivative of 16/3*m**3 + 108/7*m - 1/14*m**4 + 111 - 109/7*m**2. Factor w(c).
-2*(c - 54)*(c - 1)**2/7
Let m be (-34)/(-7) - (-33)/231. Let v(u) be the third derivative of 0*u**4 + 0 + 1/600*u**6 + 0*u + 0*u**m + 0*u**3 - 16*u**2. Factor v(r).
r**3/5
Suppose -15*a + 230 = 65. Let 8 + 4*s**3 + 61*s + a*s**2 + 12*s**2 + 5*s**2 + 25*s**2 + 4 = 0. Calculate s.
-12, -1, -1/4
Let s = -2296/27 + 4673/54. Factor 0*b**4 + 0*b**2 - 3*b**3 + 0 + 3/2*b**5 + s*b.
3*b*(b - 1)**2*(b + 1)**2/2
Let g(f) = -f**3 - 2*f**2 - 1. Let t(a) = 2*a**4 + 4*a**3 - 10*a**2 - 22*a - 14. Let n be (-1 + 30/6 + -5)/1. Let m(j) = n*t(j) + 2*g(j). Factor m(s).
-2*(s - 2)*(s + 1)**2*(s + 3)
Let p be ((-1)/(-178))/(80/(-400)). Let y = p - -559/890. Suppose 9/5*k - 12/5*k**3 + 0*k**4 + y*k**5 + 6/5*k**2 - 6/5 = 0. Calculate k.
-2, -1, 1
Let k(u) = -u**2 - 8*u - 12. Let b be ((-38)/(-5) - 8)/(3/15). Let a be k(b). Determine i, given that -i**3 + a + 4/3*i**2 + 0*i - 1/3*i**4 = 0.
-4, 0, 1
Let o(a) = 3*a**3 - 78*a + 17. Let c be o(5). Let -2/5*j**c + 36/5 - 6/5*j = 0. What is j?
-6, 3
Let k = 2531/10 - 253. Let b(c) be the second derivative of -1/10*c**3 - 3/100*c**5 + 0 + 11*c - k*c**4 + 0*c**2. Solve b(j) = 0.
-1, 0
Let p(a) be the third derivative of -1/60*a**5 + 1/1344*a**8 + 1/210*a**7 + 0*a**3 - 1/32*a**4 + 0 + 19*a**2 + 1/240*a**6 + 0*a. Suppose p(g) = 0. What is g?
-3, -1, 0, 1
Let p(a) be the first derivative of -a**6 - 25*a**5 - 77*a**4/4 + 160*a**3 + 202*a**2 + 80*a + 9645. Find h, given that p(h) = 0.
-20, -2, -1/2, -1/3, 2
Let o(j) be the third derivative of 0 + 2/105*j**7 + 1/168*j**8 + 0*j**5 + 1/60*j**6 + 48*j**2 + 0*j**3 + 0*j**4 + 0*j. Find w such that o(w) = 0.
-1, 0
Let a(x) be the second derivative of 3*x**5/20 + 9*x**4/2 - 20*x**3 - 530*x. Factor a(u).
3*u*(u - 2)*(u + 20)
Let x(w) be the third derivative of -1/39*w**4 - 4*w**2 - 4/39*w**3 + 1/130*w**5 + 1/195*w**6 + 1/1365*w**7 + 0*w + 0. Suppose x(t) = 0. What is t?
-2, -1, 1
Let c(r) be the first derivative of -r**5/300 + 2*r**4/15 - r**3/2 - 85*r**2/2 + 104. Let q(i) be the second derivative of c(i). Suppose q(y) = 0. Calculate y.
1, 15
Let c(b) be the second derivative of 9*b**7/28 + 453*b**6/80 + 2649*b**5/160 - 475*b**4/32 - 47*b**3/16 + 45*b**2/8 - 2*b + 505. Find d, given that c(d) = 0.
-10, -3, -1/4, 1/3
Let j(r) = 24*r**3 - 9*r**2 - 189*r. Let u(k) = 13*k**3 - 3*k**2 - 96*k. Let g(v) = 5*j(v) - 9*u(v). Determine s, given that g(s) = 0.
-3, 0, 9
Let u be 41/164 + -14*(-1)/8. Let z(v) be the second derivative of 0 + 1/5*v**u + 2/15*v**3 + 1/30*v**4 - 11*v. Factor z(w).
2*(w + 1)**2/5
Suppose 3*v - 51 + 27 = 0. Suppose w + 0*w = -4*f + 30, -5*w - 5*f = -195. Factor -2*a**2 - 38 + w - a**3 - v*a + 7*a**2.
-(a - 2)**2*(a - 1)
Let i be (3599/(-13) - 0) + 7. Let l = i - -270. Factor -2/13*m**4 + 2/13*m**2 + 2/13*m**5 - l*m**3 + 0 + 0*m.
2*m**2*(m - 1)**2*(m + 1)/13
Let n(q) = -19*q**3 + 59*q**2 - 846*q + 3. Let c(a) = 26*a**3 - 60*a**2 + 842*a - 4. Let g(d) = -3*c(d) - 4*n(d). Factor g(v).
-2*v*(v - 11)*(v + 39)
Let v(l) = 58*l - 30. Let j be v(-7). Let d be (j/(-6) + 1/3)/1. Suppose 135*h**5 - 195*h**3 + 23 + 246*h**4 + d*h**2 + 1 + 60*h - 343*h**2 = 0. Calculate h.
-2, -1, -2/9, 2/5, 1
Let h be ((-5)/12)/(484/1089 + (-106)/36). Let u(d) be the second derivative of -1/30*d**6 + 0*d**2 + 1/12*d**4 + 1/20*d**5 - 11*d - h*d**3 + 0. Factor u(w).
-w*(w - 1)**2*(w + 1)
Let b(l) be the first derivative of -3/2*l**2 - 3/5*l**5 + 0*l - 3*l**3 - 82 - 9/4*l**4. Let b(r) = 0. What is r?
-1, 0
Let u = 79/408 - -6949/2040. Factor -24*t**2 - 75 + u*t**3 + 70*t - 1/5*t**4.
-(t - 5)**3*(t - 3)/5
Factor 2214*h**3 + 552*h**2 - 1365 - 2194*h**3 + 1008*h - 4*h**4 - 2955.
-4*(h - 15)*(h - 2)*(h + 6)**2
Factor 36*d + 1/2*d**4 + 33/2*d**3 + 0 - 53*d**2.
d*(d - 2)*(d - 1)*(d + 36)/2
Let a(x) = 5*x**5 - 285*x**4 - 284*x**3 + 2*x - 2. Let c(y) = -53*y**5 + 2849*y**4 + 2839*y**3 - 21*y + 21. Let u(n) = -42*a(n) - 4*c(n). Solve u(v) = 0 for v.
-286, -1, 0
Suppose -31 = -3*r + 2*o, 39*r + 1 = 43*r + o. Factor -15/2*y + 3/2*y**3 - 9 + r*y**2.
3*(y - 2)*(y + 1)*(y + 3)/2
Let p = -224 + 244. Determine f, given that 6*f**3 + 5*f**3 - 2*f**5 + 19*f**3 + 160*f**2 + 175*f - p*f**4 - 3*f**5 + 60 = 0.
-4, -1, 3
Let x(o) be the second derivative of -o**5/90 + 17*o**4/54 - 56*o**3/27 + 52*o**2/9 + 211*o. Factor x(h).
-2*(h - 13)*(h - 2)**2/9
Let x(y) be the third derivative of 1/6*y**4 - 3 + 1/24*y**6 + 4*y**3 - 1/420*y**7 - 29/120*y**5 - 6*y**2 + 0*y. Factor x(t).
-(t - 4)**2*(t - 3)*(t + 1)/2
Let v(d) = 30*d**3 - 18*d**2 - 15*d. Let z(k) = -31*k**3 + 19*k**2 + 16*k. Let g be (3/(-2))/(3/6). Let 