0 + 7*y**3 + 31*y**2. Let v(b) be the first derivative of a(b). Factor v(g).
-g*(g - 4)*(g - 1)*(g + 1)/4
Let t be (7 + -18)/11 - (-10)/8. Factor t - 1/4*b**2 + 0*b.
-(b - 1)*(b + 1)/4
Let n(a) = -79*a - 2210. Let l be n(-28). Let -12/5 + 3/5*d**l + 9/5*d = 0. What is d?
-4, 1
Let z(o) = o**3 + 11*o**2 + 9*o - 4. Let t = -16 - -6. Let m be z(t). Factor 5*d + 0*d + 8 + 2*d**2 + m*d - d.
2*(d + 1)*(d + 4)
Factor 4/7*g**4 + 48/7*g + 0 - 12/7*g**3 - 16/7*g**2.
4*g*(g - 3)*(g - 2)*(g + 2)/7
Let j(q) be the first derivative of -q**3/5 + 99*q**2/10 + 324*q/5 - 679. Find m such that j(m) = 0.
-3, 36
Let m be ((-1)/(-7))/(14/(784/24)). Factor 0 + m*u - u**2.
-u*(3*u - 1)/3
Let c(x) = 110*x**2 + 110*x - 265. Let a = -13 + 15. Let g(h) = -5*h**2 - 5*h + 12. Let l(b) = a*c(b) + 45*g(b). Factor l(z).
-5*(z - 1)*(z + 2)
Let j(g) be the third derivative of -1/4*g**4 + 0*g - 1/40*g**6 + 0 + 3/20*g**5 + 0*g**3 + 9*g**2. Factor j(y).
-3*y*(y - 2)*(y - 1)
Let s be (-36)/48 + (183/36 - 4). Suppose -4/3*r**3 + s*r**4 + 2*r**2 - 4/3*r + 1/3 = 0. What is r?
1
Suppose -5*z + 970 = 5*g, -3*g + 120 = -3*z + 672. Let q = z + -1319/7. Factor -2/7*c**2 + q - 2/7*c.
-2*(c - 1)*(c + 2)/7
Let d(j) = -j**2 + 7*j + 10. Let f(i) = 2*i**2 - 12*i - 19. Let o(y) = 5*d(y) + 2*f(y). Factor o(b).
-(b - 12)*(b + 1)
Suppose -2*b + 4*t + 18 = 0, -3*b = 2*t - 3*t - 22. Let o be 3/b*(-8)/(-12). Factor 6/7*s + o*s**3 + 2/7 + 6/7*s**2.
2*(s + 1)**3/7
Suppose -8/5*t**2 + 3/5*t**5 + 0 - 13/5*t**3 + 4/5*t + 2/5*t**4 = 0. Calculate t.
-2, -1, 0, 1/3, 2
Factor -51/8*k - 99/4 - 3/8*k**2.
-3*(k + 6)*(k + 11)/8
Let d(l) = l**3 - 11*l**2 - 63*l + 48. Let o be d(15). Solve 4/5*b**o + 0 - 2/5*b**4 + 0*b**2 - 6/5*b**5 + 0*b = 0.
-1, 0, 2/3
Let j(k) be the third derivative of -k**7/1260 - 17*k**6/720 - 31*k**5/360 - 5*k**4/48 + 63*k**2 + 2*k. Factor j(g).
-g*(g + 1)**2*(g + 15)/6
Let h(s) be the first derivative of -1/220*s**5 - 1 + 0*s + 5/3*s**3 - 1/396*s**6 + 1/66*s**4 + 0*s**2. Let v(c) be the third derivative of h(c). Factor v(b).
-2*(b + 1)*(5*b - 2)/11
Let l(p) be the third derivative of p**9/60480 - p**8/6720 + p**7/2520 + p**5/4 - 11*p**2. Let v(j) be the third derivative of l(j). Factor v(y).
y*(y - 2)*(y - 1)
Factor 38/3*y + 12 + 2/3*y**2.
2*(y + 1)*(y + 18)/3
Let l(m) be the first derivative of 3*m**5/25 + 3*m**4/20 - m**3/5 - 3*m**2/10 - 12. Factor l(y).
3*y*(y - 1)*(y + 1)**2/5
Let c(x) be the second derivative of 20*x + 1/6*x**4 + 0 + 4/7*x**2 - 16/21*x**3. Let c(b) = 0. What is b?
2/7, 2
Let h(f) be the second derivative of -f**5/120 + 119*f**4/24 - 14161*f**3/12 + 1685159*f**2/12 + 7*f - 19. Let h(p) = 0. Calculate p.
119
Let x**2 - 2110 - 18*x**2 + 24*x**2 + 25873 - 534*x - 4*x**2 = 0. Calculate x.
89
Let s(b) = b**2 - 135*b + 143. Let v(x) = -136*x + 142. Let w(q) = -2*s(q) + 3*v(q). Factor w(o).
-2*(o - 1)*(o + 70)
Let l be (-6)/8 - 20/(-24). Let d(k) be the first derivative of 0*k**3 - 1/30*k**5 + 5 + l*k**4 + 1/6*k - 1/6*k**2. Find j such that d(j) = 0.
-1, 1
Let z = 29 + -29. Let s(q) be the third derivative of 1/30*q**3 + 1/100*q**5 + 1/40*q**4 + 1/600*q**6 + z + 0*q - 4*q**2. Let s(j) = 0. What is j?
-1
Find r, given that 406/11*r + 10/11*r**2 - 164/11 = 0.
-41, 2/5
Let r(f) be the third derivative of f**5/90 + f**4/18 - f**3/3 - 2*f**2 + 4. Factor r(n).
2*(n - 1)*(n + 3)/3
Determine n so that -3/2*n**3 + 28*n**2 + 79/2*n + 10 = 0.
-1, -1/3, 20
Suppose m = 2*b - 7, 0 = -2*b + 6*m - m + 3. Suppose 0 = 2*f + b*y - 7*y + 9, -2*f + 5*y = 19. Factor -2/7*v**2 + 2/7 - 2/7*v**f + 2/7*v.
-2*(v - 1)*(v + 1)**2/7
Let i(l) = -4*l**3 - 13*l**2 - 10*l. Let d(u) = 8*u**3 + 27*u**2 + 22*u. Let x(s) = 3*d(s) + 5*i(s). Suppose x(g) = 0. What is g?
-2, 0
Let 2*d - 4/5 - 16/5*d**3 + 6/5*d**2 - 8/5*d**4 = 0. Calculate d.
-2, -1, 1/2
Let b = 698 - 46067/66. Let s(x) be the second derivative of 0*x**2 + 4*x + b*x**4 + 1/55*x**5 - 1/165*x**6 + 0 - 2/33*x**3. Determine q, given that s(q) = 0.
-1, 0, 1, 2
Let i(g) be the third derivative of -g**8/112 - g**7/14 - 3*g**6/20 + g**5/10 + 7*g**4/8 + 3*g**3/2 + 2*g**2 - 58*g. Determine s, given that i(s) = 0.
-3, -1, 1
Let r(h) be the first derivative of -1/3*h**4 + 0*h + 2/9*h**5 - 2/9*h**3 - 8 + 4/9*h**2. Find z such that r(z) = 0.
-4/5, 0, 1
Suppose -52 = -6*z + 56. Suppose -3*u + z = 4*k - 17, 4*u = -3*k + 35. Suppose 6/7*i**4 + 1/7*i**k + 12/7*i**2 + 4/7*i + 0 + 13/7*i**3 = 0. What is i?
-2, -1, 0
Let g be (-134)/(-420) - 92/322. Let w(a) be the third derivative of 0*a**4 - g*a**5 + 1/3*a**3 + 3*a**2 + 0*a + 0. Solve w(y) = 0.
-1, 1
Let w = 713 - 2851/4. Let w*u**3 - 3/4*u + 1/2 + 0*u**2 = 0. Calculate u.
-2, 1
Let d(h) be the first derivative of 518/75*h**5 - 112/15*h**3 - 112/15*h**2 + 92/15*h**4 - 49/15*h**6 - 32/15*h - 8. Let d(m) = 0. Calculate m.
-2/3, -2/7, 1, 2
Let p = -674 - -676. Let u(j) be the first derivative of -2/3*j**3 - p - 1/4*j**4 + 2*j + 1/2*j**2. Factor u(g).
-(g - 1)*(g + 1)*(g + 2)
Let l(k) = -8*k**2 + k + 12. Let b(i) = -6 + 6 - 2 + i**2. Let q(w) = 30*b(w) + 5*l(w). Factor q(y).
-5*y*(2*y - 1)
Let v(a) = -20*a - 4. Let k be v(-2). Suppose -48 = -5*l + 3*x, 3*x + k = 2*l + 2*l. Suppose -21*r**2 - 3 + 3 + 6*r - l*r**2 = 0. What is r?
0, 2/11
Let a = -67 - -70. Let q = -2/191 - -388/573. Factor -1/3 + t**4 + 1/3*t**5 - t - q*t**2 + 2/3*t**a.
(t - 1)*(t + 1)**4/3
Let q(j) be the first derivative of j**5 + 165*j**4/2 + 5425*j**3/3 - 660*j**2 - 21780*j - 453. Find d, given that q(d) = 0.
-33, -2, 2
Let t be -6 + 2 - 30/(-27)*8. Let o = t + -79/18. Find a, given that 1/2*a - o*a**3 - 1/4*a**2 + 0 + 1/4*a**4 = 0.
-1, 0, 1, 2
Let x be -2*12/(-4) + -291. Let b = x - -3707/13. Factor 4/13*v + b + 2/13*v**2.
2*(v + 1)**2/13
Let d be (-175)/(-45) - 1/(-9). Let n(v) = 3*v**2 + 4*v + 1. Let k(x) = -x - 1. Let q(r) = d*k(r) + n(r). Let q(p) = 0. What is p?
-1, 1
Let k(m) be the second derivative of -1/2*m**2 + 0 + 2*m**3 + 17*m - 3*m**4. Let k(x) = 0. Calculate x.
1/6
Let h(x) be the first derivative of 3*x**4/20 - 7*x**3/5 + 33*x**2/10 - 3*x + 79. Determine n, given that h(n) = 0.
1, 5
Let h(t) = -t + 4. Let l be h(-4). Factor -2*a**3 - 5*a - 3*a + 2*a**4 + l*a.
2*a**3*(a - 1)
Let v be 3 + 2/(-2) + (-12)/6. Let d(w) be the second derivative of 1/70*w**5 + v + 0*w**2 + 3*w + 0*w**3 - 1/21*w**4. Factor d(j).
2*j**2*(j - 2)/7
Determine y so that 22/7*y**3 + 0 - 8/7*y**2 + 1/7*y - 24/7*y**4 + 9/7*y**5 = 0.
0, 1/3, 1
Let k be -3*(-4)/342*2. Let j = k + 26/171. What is v in 2/9*v**3 + 0 + 0*v - j*v**4 + 0*v**2 = 0?
0, 1
Suppose 1 = -t, -20 = -5*b - 4*t + 26. Let q = -6 + b. Factor -8*k - q + 2*k**2 + 0*k + 10.
2*(k - 3)*(k - 1)
Let u(j) be the second derivative of -2495/6*j**4 + 36*j**6 - 171/4*j**5 - 45/14*j**7 + 11*j - 500*j**2 + 0 - 2050/3*j**3. Factor u(b).
-5*(b - 5)**2*(3*b + 2)**3
Let h(v) be the third derivative of -v**7/70 + 81*v**6/40 - 2187*v**5/20 + 19683*v**4/8 - 355*v**2 - 2*v. Factor h(u).
-3*u*(u - 27)**3
Let j(g) be the second derivative of g**5/4 - 5*g**4/12 + 7*g + 10. Factor j(x).
5*x**2*(x - 1)
Let u(g) be the first derivative of -8*g + 3/2*g**4 - 22/3*g**3 + 12*g**2 - 27. Suppose u(j) = 0. Calculate j.
2/3, 1, 2
Factor 0*j - 3/4*j**2 + 3/4*j**3 + 0.
3*j**2*(j - 1)/4
Let l = -107 + -25. Let f = l - -132. Find p, given that 0*p + 2/3*p**4 + 2/3*p**3 + 0*p**2 + f = 0.
-1, 0
Let o be 14/(-312)*2372/(-42). Let p = o + -37/26. Factor -p*g - 4/9 - 2/3*g**2.
-2*(g + 1)*(3*g + 2)/9
What is h in -4*h**3 - 3006*h - 1471*h - 11971*h - 24109*h - 4095*h - 732*h**2 - 907924 = 0?
-61
Let q(x) be the first derivative of 7*x**5/60 - x**4/18 - 7*x**3/18 + x**2/3 - 8*x + 17. Let u(s) be the first derivative of q(s). Factor u(n).
(n - 1)*(n + 1)*(7*n - 2)/3
Let q(a) be the second derivative of a**6/10 + 3*a**5/4 - 2*a**4 - 6*a**3 + 10*a + 24. Suppose q(t) = 0. Calculate t.
-6, -1, 0, 2
Let p(u) be the third derivative of u**2 + 0*u + 1/1470*u**7 - 2/21*u**3 + 0 - 1/21*u**4 - 1/140*u**5 + 1/420*u**6. Determine l so that p(l) = 0.
-2, -1, 2
Let v(k) be the third derivative of -k**8/33600 - k**7/12600 - 25*k**4/24 + 2*k**2. Let l(s) be the second derivative of v(s). Factor l(g).
-g**2*(g + 1)/5
Let i = -737 - -740. Factor 7/2*n**4 + 0*n + 0 - 3*n**2 - 19/2*n**i.
n**2*(n - 3)*(7*n + 2)/2
Let w(i) be the first derivative of 8/69*i**3 - 6/115*i**5 + 