*q - 34*q**2 = 0.
0, 4/9, 1
Let v(i) = 4*i**2 + 3 - 412*i**3 + 20*i + 413*i**3 - i**2. Let y(t) = 8*t**3 + 28*t**2 + 180*t + 26. Let s(x) = -52*v(x) + 6*y(x). Factor s(c).
-4*c*(c - 5)*(c + 2)
Factor -9*f**2 - 3*f**4 + 24*f**3 - 6*f**2 - 9653*f + 9611*f.
-3*f*(f - 7)*(f - 2)*(f + 1)
Suppose 4*j + 0*j = 12. Suppose 0 = -1547*x + 1401 + 6334. Let -8/5*s**2 + 4/5*s**4 - 8/5*s + 0 + 6/5*s**j - 2/5*s**x = 0. Calculate s.
-1, 0, 2
Let d = -440 + 475. Factor 24*a**2 + 66*a**3 + 15 + d*a**2 - 6*a**3 + 78*a + 61*a**2 + 6*a**3 + 9*a**4.
3*(a + 1)**2*(a + 5)*(3*a + 1)
Let j(f) = 24*f**2 - 23*f**2 - 16 + f**3 + 18. Let n(p) = p**4 - 9*p**3 - 10*p**2 - 8. Let y(u) = 4*j(u) + n(u). Determine b, given that y(b) = 0.
-1, 0, 6
Factor 40 - 268/3*s - 26*s**2 - 5/3*s**3.
-(s + 6)*(s + 10)*(5*s - 2)/3
Let n(o) be the third derivative of 4*o**2 - 11/135*o**5 - 1/270*o**6 - 2 + 0*o**3 + 0*o + 0*o**4. Suppose n(q) = 0. What is q?
-11, 0
Suppose 98*k + 78*k = 211*k. Factor 0*x + 9*x**3 + 3/4*x**5 - 6*x**2 + k - 9/2*x**4.
3*x**2*(x - 2)**3/4
Let l(h) be the second derivative of 6*h**4 - 8*h**3 - 3/5*h**6 - 3/20*h**5 - 1/14*h**7 + 0 + 0*h**2 + 110*h. Determine y, given that l(y) = 0.
-4, 0, 1
Factor 3/2*u**2 + 117/2*u + 255.
3*(u + 5)*(u + 34)/2
Let c = 307 - 267. Suppose 0 = -11*p + c + 4. Factor 0 + d**3 - 1/2*d**p + 0*d - 1/2*d**2.
-d**2*(d - 1)**2/2
Let r(z) = -z**3 - 169*z**2 - 680*z - 682. Let v(x) = -x**3 - x**2 + 1. Let d(k) = r(k) - 2*v(k). Factor d(i).
(i - 171)*(i + 2)**2
Let l(b) be the first derivative of 61 - 35/3*b**3 + 5/4*b**4 + 0*b - 20*b**2. Factor l(t).
5*t*(t - 8)*(t + 1)
Let r be (0/661)/(-1 + 0 + 3). Let s(c) be the third derivative of -1/42*c**3 + 6*c**2 + 0 + 1/420*c**5 - 1/168*c**4 + 1/840*c**6 + r*c. Factor s(t).
(t - 1)*(t + 1)**2/7
Let t(k) be the first derivative of -k**6/60 + 8*k**5/135 - 5*k**4/108 - 2*k**3/27 + k**2/2 - 5*k - 49. Let m(r) be the second derivative of t(r). Factor m(y).
-2*(y - 1)**2*(9*y + 2)/9
Let w = 374 - 347. Suppose -w*u = -2*u. Factor 16/3*p - 4*p**2 + u - 4/3*p**3.
-4*p*(p - 1)*(p + 4)/3
Let y(d) be the second derivative of d**4/22 - 270*d**3/11 + 1608*d**2/11 - 5734*d. Factor y(m).
6*(m - 268)*(m - 2)/11
Let c(f) = -2*f**3 + f**2 + 1. Let b(u) = -5*u**3 + 40*u**2 - 90*u + 5. Let q(p) = -b(p) + 5*c(p). Factor q(a).
-5*a*(a - 2)*(a + 9)
Let x(d) be the third derivative of -d**7/840 + 7*d**6/24 - 451*d**5/20 + 363*d**4 - d**2 + 1535. Find i, given that x(i) = 0.
0, 8, 66
Let g = -153953/33 - -51336/11. Suppose 11/3 - 1/9*t**3 - 47/9*t + g*t**2 = 0. Calculate t.
1, 3, 11
Let v(z) be the first derivative of 1/12*z**3 - 27/4*z**2 + 23 + 729/4*z. Find c, given that v(c) = 0.
27
Let q = -21737483/19 - -1144079. Determine f so that -56/19*f**2 - 72/19*f - 32/19 - 2/19*f**4 - q*f**3 = 0.
-4, -2, -1
Let z(j) be the second derivative of -j**7/105 + 23*j**6/75 + 27*j**5/25 - 46*j**4/15 - 40*j**3/3 - 541*j - 2. Let z(g) = 0. Calculate g.
-2, 0, 2, 25
Suppose 3685*l = 3665*l + 40. Factor 52/7 - 8*s + 4/7*s**l.
4*(s - 13)*(s - 1)/7
Let f(p) = p**3 - 41*p**2 + 41*p - 36. Let y be f(40). Let o(b) be the second derivative of -2*b + 0 + 5*b**3 - 75/2*b**2 - 1/4*b**y. Factor o(x).
-3*(x - 5)**2
Let h be 101/70 - 2324/(-40670). Factor -867/2 - h*r**2 - 51*r.
-3*(r + 17)**2/2
Suppose -48/5*a - 8/5*a**2 + 28/5*a**3 - 4/5*a**5 + 32/5 + 0*a**4 = 0. Calculate a.
-2, 1, 2
Let j(s) be the second derivative of s**6/50 - 57*s**5/20 + 3069*s**4/20 - 35557*s**3/10 + 89373*s**2/5 - 487*s. Factor j(x).
3*(x - 31)**3*(x - 2)/5
Let z be (-7)/(147/(-6)) + (-232)/28. Let g be (-4)/(-90)*(z - -12 - -6). Factor 0 + 4/9*b**4 - 4/9*b**2 + g*b**5 - 4/9*b**3 + 0*b.
4*b**2*(b - 1)*(b + 1)**2/9
Suppose -35*l + 23*l = -108. Let s be (-5 + 47/l)*9. Factor 10/9*g**s - 16/9*g + 2/3.
2*(g - 1)*(5*g - 3)/9
Let k(o) = -283 + 18*o**2 - 349*o - 10*o**2 - 243*o. Let v(t) = 8*t**2 - 588*t - 284. Let p(x) = 4*k(x) - 5*v(x). Suppose p(n) = 0. Calculate n.
-1/2, 72
Let a(j) be the first derivative of 1/10*j - 1/10*j**2 - 1/4*j**4 + 40 - 13/30*j**3. Let a(v) = 0. What is v?
-1, -1/2, 1/5
Let s = 277222 + -1940538/7. Solve 54/7*t**5 + 0*t**4 + 0 - 2/7*t - s*t**2 - 36/7*t**3 = 0.
-1/3, 0, 1
Let z be 520/(-39)*2/((-6)/45). Factor -33*u**2 + 35*u + z + 44*u**3 + 7*u - 4*u**4 - 22*u - 99*u**2.
-4*(u - 5)**2*(u - 2)*(u + 1)
Factor 297/5 - 12*k + 3/5*k**2.
3*(k - 11)*(k - 9)/5
Let s(t) = -t**4 + t. Let d(o) = 5*o**3 + 4*o**2 - 7*o. Let w(h) = 8*h - 71. Let n be w(9). Let f(i) = n*d(i) + 3*s(i). Let f(x) = 0. What is x?
-1, 0, 2/3, 2
Find o such that -3/2*o**3 - 555/2 + 99/2*o**2 + 459/2*o = 0.
-5, 1, 37
Let o(f) be the first derivative of f**6/18 + 232*f**5/5 + 161471*f**4/12 + 12486472*f**3/9 - 26912*f**2 - 12487168*f/3 + 2001. Find k such that o(k) = 0.
-232, -1, 1
Let r(o) be the second derivative of 0 + 8*o - 31/3*o**3 - 30*o**2 - 1/6*o**4. Factor r(f).
-2*(f + 1)*(f + 30)
Let k(v) = -5*v**2 - 440*v - 4560. Let o(q) = -3*q**2 - 219*q - 2284. Let d(l) = 2*k(l) - 5*o(l). Factor d(j).
5*(j + 20)*(j + 23)
Suppose x + 2*s = s + 147, -4*x + 4*s + 548 = 0. Factor -282*w**4 - 12*w + x*w**4 + 137*w**4 - 90*w**2 + 39*w**3 + 120.
-3*(w - 10)*(w - 2)**2*(w + 1)
Let c be (-7*28/343)/(238/(-49) - -4). Suppose -c*s + 4/3*s**2 + 0 - 2/3*s**3 = 0. What is s?
0, 1
Let p(c) be the second derivative of -c**6/10 - 3*c**5/2 + 36*c**4 + 1088*c**3 + 10752*c**2 + 1034*c. Factor p(w).
-3*(w - 14)*(w + 8)**3
Suppose 306 - 316 = 5*c. Let m be (c - (-56)/26)/(-1 + 2). Factor 2/13*t + 0 - m*t**2.
-2*t*(t - 1)/13
Let g(b) = -24*b**2 + b**3 + 42*b**2 - b - 19*b**2 - 1. Let p(a) = -51*a**3 + 11*a**2 + 186*a - 14. Let m(d) = -6*g(d) - p(d). Let m(c) = 0. Calculate c.
-2, 1/9, 2
Let l(r) be the third derivative of -r**5/420 - r**4/84 - r**3/42 - 4971*r**2. Find b, given that l(b) = 0.
-1
Suppose -3*q**2 - 368 - 489 + 857 + 333*q = 0. What is q?
0, 111
Factor 79*c**2 - 26*c**2 - 584*c - 26*c**2 - 580 - 31*c**2.
-4*(c + 1)*(c + 145)
Let f(r) be the third derivative of -2 + 4*r**3 + 0*r + 8/15*r**5 - 104*r**2 - 19/6*r**4 + 1/6*r**6. Factor f(n).
4*(n - 1)*(n + 3)*(5*n - 2)
Factor -919*a + 6*a**2 + 88*a + 144*a + 342*a - 900.
3*(a - 60)*(2*a + 5)
Let z(j) be the second derivative of j**4/3 + 180*j**3 + 36450*j**2 + 1511*j. Determine k, given that z(k) = 0.
-135
Let p(x) be the third derivative of -9*x**2 + 0*x + 1/60*x**5 - 7/6*x**3 + 0 + 1/4*x**4. Solve p(m) = 0.
-7, 1
Let x = 24 - 22. Suppose 1 = -4*r + q, -x*r - 7*q + 1 = -6*q. Factor 8/3*j**3 + 2/3*j**4 + 0 + 2*j**2 + r*j.
2*j**2*(j + 1)*(j + 3)/3
Let l(m) be the third derivative of 0*m**3 + 0*m**4 + 0 + 1/120*m**6 - 10*m**2 + 0*m + 1/60*m**5. Determine v, given that l(v) = 0.
-1, 0
Factor 0 + 2*i**4 - 8*i**2 + 1/3*i**5 - 32/3*i + 4/3*i**3.
i*(i - 2)*(i + 2)**2*(i + 4)/3
Let p = 1554462 + -1554459. Find h such that 14*h**3 + 0 - 23/2*h**2 - 13/2*h**4 + h**5 + p*h = 0.
0, 1/2, 1, 2, 3
Let d(f) be the second derivative of f**6/90 - 2*f**5/3 + 19*f**4/6 - 37*f**3/6 + 3*f + 4. Let s(g) be the second derivative of d(g). Let s(r) = 0. Calculate r.
1, 19
Let j(r) = -3*r**4 + 70*r**3 - 47*r**2 - 120*r - 91. Let w(d) = -10*d**4 + 245*d**3 - 165*d**2 - 420*d - 325. Let s(i) = -25*j(i) + 7*w(i). Factor s(n).
5*n*(n - 6)*(n - 2)*(n + 1)
Factor 6*n**4 - 792/5*n**2 - 118/5*n**3 - 1161/5*n + 7/5*n**5 - 54.
(n - 5)*(n + 3)**3*(7*n + 2)/5
Let b(v) be the first derivative of -v**4/2 - 76*v**3/3 + 843. Factor b(g).
-2*g**2*(g + 38)
Factor -2/13*m**2 + 34/13 + 32/13*m.
-2*(m - 17)*(m + 1)/13
Let l(r) be the second derivative of r**4/6 - 62*r**3/3 - 128*r**2 - 6974*r. Let l(t) = 0. Calculate t.
-2, 64
Let h = 63581 - 63579. Factor -4/3*c**h - 64*c - 768.
-4*(c + 24)**2/3
Suppose 0*c + 2/19*c**5 + 128/19*c**4 + 3744/19*c**2 + 1320/19*c**3 + 0 = 0. What is c?
-52, -6, 0
Let v(b) be the second derivative of -8*b**2 - b - 1/2*b**5 + 17 + 5/3*b**3 + 5/4*b**4 + 1/30*b**6. Find t such that v(t) = 0.
-1, 1, 2, 8
Let l be -10*((-3030)/(-900))/(-101). Factor -4/3 + 11/3*r + 1/3*r**4 - 3*r**2 + l*r**3.
(r - 1)**3*(r + 4)/3
Suppose 198 - 577*c**2 - 572*c**2 - 573*c**2 - 69*c + 1717*c**2 + 2*c**3 = 0. What is c?
-6, 3, 11/2
Find y, given that 0 + 1264/15*y - 1912/15*y**2 + 2/15*y**5 - 34/3*y**4 + 324/5*y**3 = 0.
0, 2, 79
Let v(i) = 27*i**3 - 6*i**2 - 1749*i - 8844. Let p(j) = -16*j**3 + 3*j