476. Factor -128/7 - 2/7*w**3 - c*w - 24/7*w**2.
-2*(w + 4)**3/7
Factor b**2 - 6*b**2 + 10*b + 36 + 10*b - 36.
-5*b*(b - 4)
Let o = 2057/2440 - 21/488. Suppose 8/5*y**3 + o - 6/5*y + 0*y**4 - 2/5*y**5 - 4/5*y**2 = 0. Calculate y.
-2, -1, 1
Let f(n) be the second derivative of -n**6/150 + 63*n**5/50 - 3841*n**4/60 - 1344*n**3/5 - 2048*n**2/5 - 5*n. Factor f(b).
-(b - 64)**2*(b + 1)**2/5
Suppose 0 = t - 4*u + 6, -3*u - 3 = -4*t - 1. Suppose v - h + 0 = -3, t*v - 29 = -5*h. What is o in -4*o**2 - 4*o**v + 11*o**3 - o + 5*o - 4*o**2 - 3*o**4 = 0?
0, 2/3, 1, 2
Let f(s) be the third derivative of s**8/1848 + s**7/165 + 13*s**6/660 + s**5/330 - 7*s**4/66 - 8*s**3/33 - 32*s**2. Let f(k) = 0. What is k?
-4, -2, -1, 1
Let i(t) be the second derivative of 3*t**5/80 + 5*t**4/16 - t**3/8 - 15*t**2/8 - 41*t + 2. Factor i(j).
3*(j - 1)*(j + 1)*(j + 5)/4
Suppose 8 + 20*z - 2*z**2 - 8*z + 8 + 4*z**2 = 0. What is z?
-4, -2
Let c(v) be the third derivative of -v**8/2520 - 2*v**7/1575 + v**6/900 + v**5/225 - 301*v**2. Suppose c(b) = 0. What is b?
-2, -1, 0, 1
Let y be (-6)/60*4 + (-64)/(-10). Let c(x) be the third derivative of 0 - 1/6*x**3 - 1/120*x**6 - 1/8*x**4 + y*x**2 + 0*x - 1/20*x**5. What is r in c(r) = 0?
-1
Suppose -5 = 26*a - 27*a. Factor 20*z**5 - 2*z + 5 + 242*z**4 - 25*z**2 + a*z**3 - 202*z**4 - 3*z.
5*(z + 1)**3*(2*z - 1)**2
Let v = -37 - -42. Let y(q) = 3*q**2 - 5*q - 72. Let i(p) = 20*p**2 - 32*p - 468. Let o(m) = v*i(m) - 32*y(m). Factor o(j).
4*(j - 3)*(j + 3)
Suppose 3*n = t + 11, 0 = -3*t + 2*n - 4*n + 22. Factor -t*o**4 + 2*o**3 - 92*o**5 + 94*o**5 - 3*o + 3*o.
2*o**3*(o - 1)**2
Let v be 2 - 2/((-4)/6). Suppose 0 = -3*p - 5*u + 24, 2*p - 8 - 1 = -u. Suppose v*x + x - 51*x**3 + 48*x**p + 3*x**2 = 0. Calculate x.
-1, 0, 2
Let w(t) be the first derivative of -t**6/2340 + t**5/195 - t**4/52 + 7*t**3/3 + 3. Let f(d) be the third derivative of w(d). Solve f(r) = 0.
1, 3
Let m(f) be the third derivative of 5*f**8/336 + 2*f**7/21 + f**6/12 - f**5/3 - 5*f**4/8 - 104*f**2. Solve m(w) = 0.
-3, -1, 0, 1
Let y(x) be the first derivative of -5*x**2 - 5*x - 14 - 5/3*x**3. What is u in y(u) = 0?
-1
Let t(g) be the second derivative of 13*g + 0 + 0*g**2 + 1/12*g**4 + 0*g**3. Let t(z) = 0. Calculate z.
0
Let a(q) = 5*q**3 + 29*q**2 + 11*q - 41. Let u(s) = 5*s**3 + 28*s**2 + 12*s - 42. Let d(g) = 3*a(g) - 4*u(g). Factor d(h).
-5*(h - 1)*(h + 3)**2
Let x be (-181)/5 - (-1)/5. Let j = -36 - x. Factor 0*z - 2/7*z**3 + j + 6/7*z**4 - 4/7*z**2.
2*z**2*(z - 1)*(3*z + 2)/7
Let h(r) be the third derivative of -r**10/176400 + r**9/70560 + r**8/11760 - r**5/4 + r**3/6 - 51*r**2. Let a(x) be the third derivative of h(x). Factor a(p).
-6*p**2*(p - 2)*(p + 1)/7
Let x(c) = c**2 - 2*c + 3. Let u be x(3). Suppose 11*q = u*q. Factor -1/2*h + q + 1/4*h**2.
h*(h - 2)/4
Suppose x - 6 = -3*k, 2*x - x = 0. Determine j, given that -1 - 42*j + 21*j + 2*j**3 + 19*j - 1 + k*j**2 = 0.
-1, 1
Suppose -20 = t - 6*t. Suppose -2 + 17*l**2 - 33*l**2 + 2 + t*l**4 = 0. What is l?
-2, 0, 2
Let m = 1756/3 + -8771/15. Factor m*t**4 + 12/5*t**3 + 9/5*t**2 - 12/5*t - 12/5.
3*(t - 1)*(t + 1)*(t + 2)**2/5
Let o(c) = -14*c - 12. Let d be o(-3). Solve 15*w**2 + d*w**4 + 49*w + 5 - 57*w + 32*w**3 - 77*w**2 + 3 = 0 for w.
-2, -2/5, 1/3, 1
Let x(s) be the first derivative of 3*s**5/35 - 3*s**4/14 - 437. Factor x(h).
3*h**3*(h - 2)/7
Let o(n) = n**3 - 9*n**2 - 10*n. Let c(r) = -2*r**2 - 32*r - 20. Let t be c(-15). Let d be o(t). Factor 12/7*x**3 + 8/7*x**2 + 4/7*x**4 + d + 0*x.
4*x**2*(x + 1)*(x + 2)/7
Suppose 0 = 3*u - 2*x - 14, -5 = -5*u + 5*x + 15. Factor -c + 3 + 3*c**2 + c + u*c.
3*(c + 1)**2
Let p(c) = -13*c**2 + 8*c - 64. Let d(h) = 8*h**2 - 5*h + 42. Let z(j) = 8*d(j) + 5*p(j). Let z(w) = 0. Calculate w.
-4, 4
Let b(h) = -14*h**2 + 48*h + 25. Let s(z) = 12*z**2 - 48*z - 20. Let f(l) = -4*b(l) - 5*s(l). Suppose f(r) = 0. What is r?
0, 12
Let j(f) be the first derivative of -2*f**3/15 - 10*f**2 - 250*f + 23. Factor j(l).
-2*(l + 25)**2/5
Let x = -385 - -181. Let l be (2 - (-8)/(-6)) + x/(-126). Find r, given that 12/7*r**2 - l - 8/7*r**3 - 4/7*r**4 + 16/7*r = 0.
-2, 1
Let f(t) = -t**2 + 13*t - 10. Let j be f(12). Find o, given that -3*o**4 + o**5 + j - 2*o**3 + 6*o**3 - 3*o**5 - 2*o - 4*o**2 + 5*o**4 = 0.
-1, 1
Let o(h) = h**3 + 18*h**2 + 51*h - 18. Let y be o(-4). Factor 0 - 3/4*i + 3/8*i**y.
3*i*(i - 2)/8
Let z be ((-44)/(-55))/((-22)/(-15)). What is x in -4/11*x + 2/11*x**5 - 6/11*x**2 + 2/11*x**3 + z*x**4 + 0 = 0?
-2, -1, 0, 1
Factor -38*r + 1/3*r**2 + 1083.
(r - 57)**2/3
Let f(y) = -y**3 + y**2 - 2*y - 22. Let k(w) = -3*w**3 + 4*w**2 - 7*w - 65. Let r(d) = 17*f(d) - 6*k(d). Solve r(a) = 0.
-1, 4
Let d = 3650/8253 + 2/917. Let b(c) be the first derivative of 1 - 4/3*c**2 - d*c**3 + 4*c. Factor b(a).
-4*(a - 1)*(a + 3)/3
Let a = -30394 - -30394. Let r be -2 - (46/(-10) + 2). Factor a + 3/5*d**2 + 3/5*d - r*d**4 - 3/5*d**3.
-3*d*(d - 1)*(d + 1)**2/5
Factor -3*d**2 + 12 + 1 + 2 - 3.
-3*(d - 2)*(d + 2)
Suppose 0 = 7*k - 4*k. Suppose 4*d + c - 16 = k, -3 = -2*d - c + 5. Factor p**2 + 5*p**2 + 6*p**3 - 3*p**2 + 3*p**d.
3*p**2*(p + 1)**2
Let n(w) be the second derivative of -49*w**6/150 + 21*w**5/100 + 2*w**4/5 + 2*w**3/15 - 56*w. Solve n(f) = 0 for f.
-2/7, 0, 1
Let v(f) be the first derivative of f**6/21 - f**4/7 + f**2/7 - 449. Factor v(c).
2*c*(c - 1)**2*(c + 1)**2/7
Let 5/8*h**2 + 13/8*h + 3/4 = 0. What is h?
-2, -3/5
Let n(t) be the first derivative of t**3/7 - 9*t**2/14 - 12*t/7 - 62. Factor n(g).
3*(g - 4)*(g + 1)/7
Suppose -3*v = 2*t - 13, 0*t - t - 5*v + 3 = 0. Let s = 11 - t. Find z such that 8 + 0*z**s - 2*z**3 + 0*z**3 - 2*z**2 + 2*z + 6*z = 0.
-2, -1, 2
Suppose -119*f - 161*f = 24*f - 912. Determine v, given that 42/13*v + 2/13*v**f + 16/13*v**2 + 36/13 = 0.
-3, -2
Let p(g) be the first derivative of g**7/168 - 3*g**6/8 + 81*g**5/8 - 1215*g**4/8 - 16*g**3/3 - 3. Let j(v) be the third derivative of p(v). Factor j(m).
5*(m - 9)**3
Let d(o) be the second derivative of o**4/54 - 8*o**3/27 + 5*o**2/3 + 212*o. Factor d(i).
2*(i - 5)*(i - 3)/9
Let y = 4179/10460 + 1/2092. Factor 0 + 2/5*p - 4/5*p**2 + y*p**3.
2*p*(p - 1)**2/5
Let d(q) be the first derivative of -5/6*q**2 - 37 + 0*q - 1/15*q**5 + 5/12*q**4 + 1/9*q**3. Factor d(x).
-x*(x - 5)*(x - 1)*(x + 1)/3
Suppose 3*t + 0 = 36. Suppose 2*n + t = 6*n. Factor 2*i**4 + 4*i**n + 0*i**4 + i**4 + 3*i**2 + 2*i**3.
3*i**2*(i + 1)**2
Suppose 19 = 4*k - 15 + 26. Let b = -155/4 - -39. Factor 1/4*g - b*g**k + 0.
-g*(g - 1)/4
Let b(s) be the third derivative of s**5/20 - 7*s**4/8 + 5*s**3 + 2*s**2 + 112*s. Find c, given that b(c) = 0.
2, 5
Let z be 617/6 - 2/(-12). Factor z + 5*y**2 - 103.
5*y**2
Let x = 4362 + -21804/5. Factor -2/5*o**2 - x*o + 0.
-2*o*(o + 3)/5
Let n be 2/(2/15 + (-39)/180). Let i be 4 - (5/(75/n) + 4). Factor i*t**3 + 8/5*t**4 - 4/5*t**2 - 4/5 + 2/5*t**5 - 2*t.
2*(t - 1)*(t + 1)**3*(t + 2)/5
Let y = 3/206 + 11/2781. Let j(z) be the second derivative of 0 + 1/27*z**3 - y*z**4 + 7*z + 0*z**2. Let j(w) = 0. Calculate w.
0, 1
Let a(b) be the first derivative of -b**7/280 + b**6/60 + b**5/40 - b**4/4 - 7*b**3 + 3. Let w(n) be the third derivative of a(n). What is o in w(o) = 0?
-1, 1, 2
Let o(a) be the first derivative of 4/27*a**3 + 4/9*a**2 + 1/54*a**4 - 9 - 9*a. Let f(d) be the first derivative of o(d). Factor f(c).
2*(c + 2)**2/9
Suppose 3*i - 66 = -7*n + 2*n, 70 = 5*n + 5*i. Let -n*m**2 - 4*m**4 + 4*m**3 - m**4 + 12*m**3 + m**4 = 0. What is m?
0, 1, 3
Factor 0 - 1/9*i**5 + 0*i - 8/9*i**4 - 16/9*i**2 - 20/9*i**3.
-i**2*(i + 2)**2*(i + 4)/9
Let g(l) = 98*l - 3330. Let v be g(34). Factor 2/11*s**3 - 4/11 + 0*s**v - 6/11*s.
2*(s - 2)*(s + 1)**2/11
Let t(i) be the third derivative of -i**6/600 - i**5/150 - i**4/120 - 25*i**2 - 6*i. Suppose t(g) = 0. Calculate g.
-1, 0
Let a(i) be the first derivative of 2*i**5/35 + 9*i**4/14 + 8*i**3/3 + 36*i**2/7 + 32*i/7 - 357. Factor a(c).
2*(c + 1)*(c + 2)**2*(c + 4)/7
Let v(k) = -k - 14*k**3 - 18*k**3 + 29*k**3 - 6 + 2*k**2. Let o(u) = 3*u**3 - 3*u**2 + 6. Let g(s) = -4*o(s) - 3*v(s). Factor g(b).
-3*(b - 2)*(b - 1)*(b + 1)
Let g be (-16)/40 + 4/5. Let i be (-4)/16 + (918/120 - 7). Factor 0 + 6/5*b**3 + i*b**4 + g*b + 6/5*b**2.
2*b*(b + 1)**3/5
Let i(r) be the second derivative of -r**5/70 + 17*r**4/