+ v**2 + 526*v. Factor n(o).
(o + 6)**2*(6*o + 1)**2/3
Let z(d) be the third derivative of 121/28*d**4 - 33*d**2 + 11/70*d**5 + 0*d + 1331/21*d**3 + 1/420*d**6 + 0. Solve z(n) = 0 for n.
-11
Let y = 38/7 + -83/14. Let u = y - -9/14. Factor -1/7*l**2 + 0 + u*l**3 + 0*l.
l**2*(l - 1)/7
Suppose 2*k = 2*v, v - 3*v + 14 = 5*k. Factor -v*a - a + a - 2*a**2.
-2*a*(a + 1)
Let k(b) be the first derivative of b**5/45 + b**4/12 + b**3/9 + b**2/18 + 237. What is p in k(p) = 0?
-1, 0
Let m(r) be the third derivative of -r**5/15 - r**4 - 6*r**3 - r**2 + 2. What is b in m(b) = 0?
-3
Let y(l) = -5*l**3 - l - 2. Let p be y(-1). Factor 8*j**3 + 16*j**5 - 4 - 32*j**2 - j**4 - 24*j + 0*j**4 + 37*j**p.
4*(j - 1)*(j + 1)**3*(4*j + 1)
Let j(n) be the first derivative of n**4/26 + 2*n**3/39 - 4*n**2/13 - 8*n/13 + 317. Determine u so that j(u) = 0.
-2, -1, 2
Let r be (-1)/((-52)/48 - -1). Suppose -5*h + 3 = -r. Factor 8*i**4 + i**2 + i**2 + 6*i**h + 4*i**3.
2*i**2*(i + 1)*(4*i + 1)
Let f(b) = b**2 - 7*b - 10. Let t be f(9). Find z such that -11*z**2 - t*z**3 - 12*z**4 - 12*z**3 - 4*z**2 + 44*z**3 + 3*z = 0.
0, 1/2, 1
Suppose 6*g - 548 = 250. Let f = 267/2 - g. Let -f*z**2 + z - 1/2 = 0. What is z?
1
Let z(l) be the first derivative of l**6/15 + 2*l**5/25 - 3*l**4/5 + 4*l**3/15 + l**2 - 6*l/5 - 85. Factor z(b).
2*(b - 1)**3*(b + 1)*(b + 3)/5
Let x = -1948 - -1954. Let m(v) be the second derivative of 0*v**3 - 1/21*v**7 + 3*v + 0*v**2 - 1/15*v**4 + 0 - 1/50*v**5 + 8/75*v**x. Factor m(f).
-2*f**2*(f - 1)**2*(5*f + 2)/5
Factor -n**4 - 4*n**3 + 4*n**4 - 4*n**2 + 27*n + n**4 - 23*n.
4*n*(n - 1)**2*(n + 1)
Let z(w) be the second derivative of 0 + 1/6*w**2 + 1/36*w**4 - 1/252*w**7 - 1/45*w**6 - 1/30*w**5 - 29*w + 5/36*w**3. Factor z(x).
-(x - 1)*(x + 1)**3*(x + 2)/6
Let n(i) be the second derivative of 0 - 1/210*i**6 + 0*i**3 + 10*i + 0*i**2 - 1/42*i**4 - 3/140*i**5. Find j such that n(j) = 0.
-2, -1, 0
Solve 168*p - 58 + 101 + 81 + 4*p**2 + 40 = 0.
-41, -1
Let j(z) be the first derivative of -7*z**4/16 + z**3/4 - 41*z + 14. Let t(o) be the first derivative of j(o). Factor t(g).
-3*g*(7*g - 2)/4
Let m(g) be the second derivative of 0*g**2 + 1/12*g**6 - 5/24*g**4 + 5/84*g**7 - 1/8*g**5 + 0 - 13*g + 0*g**3. Factor m(p).
5*p**2*(p - 1)*(p + 1)**2/2
Let q = -104 - -110. Let u(w) = 45*w**2 + 685*w + 2205. Let s(t) = 5*t**2 + 76*t + 245. Let n(x) = q*u(x) - 55*s(x). Factor n(l).
-5*(l + 7)**2
Let d(l) be the second derivative of -15552/25*l**5 + 9234/25*l**6 - 26*l + 1848/5*l**4 + 96/5*l**2 + 0 - 1696/15*l**3 + 4374/35*l**7. Factor d(y).
4*(y + 3)*(9*y - 2)**4/5
Let h = -268 + 267. Let w be h/(-4) - (-9 + (-350)/(-40)). Factor -5*o**2 + 1/2*o**5 - w - 5/2*o**4 + 5/2*o + 5*o**3.
(o - 1)**5/2
Suppose 13*w - 11*w = 6*b - 14, 3*b - 11 = -w. Solve -1/2*u**b + 1 + 2*u**2 - 5/2*u = 0.
1, 2
Let p(o) = o**3 + o**2 + 5*o - 5. Let d be p(1). Factor 2/3 + 2/3*b**5 - 4/3*b**3 + 2/3*b - 4/3*b**d + 2/3*b**4.
2*(b - 1)**2*(b + 1)**3/3
Suppose 4*h - 16 = 3*w + w, -4 = -w - h. Let l = 143/395 + 3/79. Suppose 2/5*d**3 - l*d + w + 0*d**2 = 0. Calculate d.
-1, 0, 1
Let h(l) = 2*l**3 + 125*l**2 + 61*l - 58. Let p be h(-62). Factor -5/4*g**3 + g**p - 1/4*g**5 + 0*g + 0 + 1/2*g**2.
-g**2*(g - 2)*(g - 1)**2/4
Let g = 260 + -258. Let y(s) be the second derivative of 0 + 8/45*s**6 + 1/21*s**7 + 1/5*s**5 + 0*s**g - 1/9*s**3 + 0*s**4 - 4*s. Suppose y(h) = 0. Calculate h.
-1, 0, 1/3
Let h(a) be the second derivative of -a**7/14 + 7*a**6/5 - 147*a**5/20 + 35*a. Let h(c) = 0. Calculate c.
0, 7
Let z(v) be the first derivative of -2*v**5/35 - v**4/7 + 2*v**2/7 + 2*v/7 + 357. Factor z(j).
-2*(j - 1)*(j + 1)**3/7
Let o(f) be the third derivative of f**8/1680 + f**7/525 - 3*f**6/200 - f**5/150 + f**4/15 - 718*f**2. What is n in o(n) = 0?
-4, -1, 0, 1, 2
Let v(x) = -10*x**4 + 13*x**3 - x**2 + 3*x. Let j(o) = -9*o**4 + 14*o**3 - 2*o**2 + 2*o. Suppose 3*s = 11 - 20. Let u(r) = s*j(r) + 2*v(r). Factor u(n).
n**2*(n - 2)*(7*n - 2)
Let f be (-9)/21 - 25/7. Let z be 5/15*8*(-6)/f. Factor -14/3*v - 4/3 - 6*v**2 - 10/3*v**3 - 2/3*v**z.
-2*(v + 1)**3*(v + 2)/3
Let 478*z**3 - z**5 + 5*z + 6*z**4 - 491*z**3 - 9*z + 12*z**2 = 0. What is z?
0, 1, 2
What is d in -1452/5 - 132/5*d - 3/5*d**2 = 0?
-22
Let v(p) be the first derivative of -p**5 - 75*p**4/4 + 5*p**3 + 235*p**2/2 + 150*p + 191. Solve v(r) = 0 for r.
-15, -1, 2
Suppose -n + 3*n = 2. Let l be ((-2)/4)/(n/(-14)). Factor -6*x**2 - 6*x**3 - 20*x**3 - l*x**3.
-3*x**2*(11*x + 2)
Let f = -468 + 470. Let k(l) be the first derivative of 7 + 0*l**f + 0*l**3 + 2/5*l**5 + 0*l + l**4. What is g in k(g) = 0?
-2, 0
Let p = 703 - 6325/9. Let f be ((-143)/(-264) - (-1)/8)/1. Let 8/9 - p*n**3 - f*n**2 + 0*n = 0. What is n?
-2, 1
Factor 4/5*y**2 + 324/5 - 72/5*y.
4*(y - 9)**2/5
Factor -57/4*c**2 - 1/4*c**4 - 25/2 + 95/4*c + 13/4*c**3.
-(c - 5)**2*(c - 2)*(c - 1)/4
Let p(v) = -v + 1. Let l = -5 + 4. Let a(f) = -f**2 - f + 1. Let x(r) = -9*r**2 + 2*r + 7. Let o(m) = -6*a(m) + x(m). Let c(q) = l*o(q) + p(q). Factor c(u).
3*u*(u - 3)
Factor -2/13*t**2 + 20*t + 0.
-2*t*(t - 130)/13
Let f = -3233/3 - -1078. Solve 2/3 + 1/3*l - f*l**2 = 0 for l.
-1, 2
Let j(a) be the first derivative of -a**6/2160 + a**5/120 - a**4/16 - 8*a**3/3 - 6. Let r(t) be the third derivative of j(t). Factor r(k).
-(k - 3)**2/6
Factor -24*m**4 - 4*m**2 + 30*m**3 - 16*m**2 + 7*m**4 + 42*m**4 + 5*m**5 - 40*m.
5*m*(m - 1)*(m + 2)**3
Let f(r) be the second derivative of 14*r - 1/3*r**4 + 2*r**2 + 0 - 1/5*r**5 + 2/3*r**3. Factor f(i).
-4*(i - 1)*(i + 1)**2
Let i(l) be the first derivative of -5*l**4/3 - 15*l**3/2 - 5*l**2 + 15*l - 5. Let x(q) be the first derivative of i(q). Solve x(p) = 0 for p.
-2, -1/4
Let j = 71 + -48. Let o = 25 - j. Suppose 0*w + 1/4*w**5 - w**3 + 0 + o*w**2 - 1/2*w**4 = 0. What is w?
-2, 0, 2
Let m(f) be the second derivative of 4/5*f**6 + 0*f**2 - 2/21*f**7 + 0 + 5*f - 13/5*f**5 - 8/3*f**3 + 4*f**4. Factor m(r).
-4*r*(r - 2)**2*(r - 1)**2
Let a(d) be the first derivative of -d**7/21 - 4*d**6/15 - 3*d**5/5 - 2*d**4/3 - d**3/3 + 8*d - 7. Let j(q) be the first derivative of a(q). Factor j(t).
-2*t*(t + 1)**4
Let j(x) = -x**2 + 7*x - 11. Let k be j(3). Let g(p) = -1. Let z(v) = 4*v**2 - 36*v + 34. Let b(q) = k*z(q) + 2*g(q). Factor b(y).
4*(y - 8)*(y - 1)
Let a(d) = d**3 - 15. Let i be a(0). Let g = i + 17. Factor -4*k**5 + k**2 + 17*k**5 - 3*k**4 - k**3 - k - 11*k**5 + g*k**2.
k*(k - 1)**2*(k + 1)*(2*k - 1)
Suppose -2*p = -4*j + 2*p + 32, p + 14 = 3*j. Let b be (-50)/15 - -4 - 1/j. Find t, given that 0 - b*t**2 + 0*t = 0.
0
Factor -4*a - 4/3 + 16/3*a**2.
4*(a - 1)*(4*a + 1)/3
Let w(m) = 8*m**2 - 53*m + 122. Let v(s) = 65*s**2 - 425*s + 975. Suppose 11*t - 12 = 7*t. Let z(f) = t*v(f) - 25*w(f). Find q such that z(q) = 0.
5
Let x(y) be the third derivative of y**8/168 + y**7/21 - y**6/10 - 10*y**2. Suppose x(d) = 0. Calculate d.
-6, 0, 1
Suppose -13*f = -26*f + 1417. Let j = -107 + f. Solve 2 - 5/2*g + 1/2*g**j = 0 for g.
1, 4
Let w(s) be the second derivative of 15*s - 1/30*s**5 - 8/9*s**3 - 7/18*s**4 + 16/3*s**2 + 0. Solve w(n) = 0 for n.
-4, 1
Let l(p) = 79*p**2 + 121*p + 31. Let b(t) = -16*t**2 - 24*t - 6. Let a = -4 - -8. Suppose a - 48 = 4*u. Let v(m) = u*b(m) - 2*l(m). Factor v(n).
2*(n + 1)*(9*n + 2)
Determine p, given that 5/8*p**5 - 1/2*p**2 - 17/8*p**4 + 0 + 0*p + 2*p**3 = 0.
0, 2/5, 1, 2
Let x(z) be the second derivative of 1/50*z**5 + 0*z**2 + 0*z**3 - 1/15*z**4 - 1/105*z**7 + 0 + 25*z + 2/75*z**6. What is n in x(n) = 0?
-1, 0, 1, 2
Let x = 8/35 - -2/35. Let t(q) = 4*q**3 - 23*q**2 - q - 26. Let c be t(6). Factor 2/7*j - 2/7*j**3 - x*j**2 + 2/7*j**c + 0.
2*j*(j - 1)**2*(j + 1)/7
Let w = 25 + 0. Suppose -w*z = -23*z. Factor -2*s**3 + 3/2*s**4 - 8*s**2 + z*s + 8 + 1/2*s**5.
(s - 2)*(s - 1)*(s + 2)**3/2
Suppose p - 30*l + 31*l = 11, 0 = 14*p + 3*l - 66. Factor 1/6*f**2 + 0 + 3/2*f**4 + 0*f + f**p.
f**2*(3*f + 1)**2/6
Let w(g) be the first derivative of 2*g**3/57 - 7*g**2/19 - 36*g/19 - 15. Factor w(o).
2*(o - 9)*(o + 2)/19
Let s = -60 + 60. Suppose 2*w + w = -s*w. Solve w*f - 2/15*f**3 + 0 + 0*f**2 = 0.
0
Let m = 148 - 1775/12. Let h(o) be the third derivative of 0*o - 1/3*o**3 - m*o**4 + 0 + 1/60*o**6 + 3*o**2 + 1/30*o**5. Factor h(j).
2*(j - 1)*(j + 1)**2
Let d(b) be the first derivative of -