(357/323 - 1) + 22044/(-38). Let g = -576 - h. Determine b, given that 1/2*b**5 + 0 + 0*b - 1/4*b**g + 0*b**2 + 0*b**3 = 0.
0, 1/2
Let x be ((-408)/(-17))/(4266/316). Determine p, given that 2/9*p**2 + x + 4/3*p = 0.
-4, -2
Suppose -5*u = 46 - 61. Factor 8 - 3 - u*h - h**2 - 2*h**2 + 1.
-3*(h - 1)*(h + 2)
Let s(u) be the second derivative of 4*u**6/45 + 17*u**5/12 + 53*u**4/12 - 20*u**3 + 18*u**2 + 7*u. Factor s(k).
(k - 1)*(k + 6)**2*(8*k - 3)/3
Let g(h) be the third derivative of -h**5/30 - 61*h**4/3 + 245*h**3/3 - 1958*h**2. What is o in g(o) = 0?
-245, 1
Let j(b) be the third derivative of 7/15*b**5 + 8/3*b**3 + 0*b + 0 + 8/3*b**4 - 18*b**2. Determine k, given that j(k) = 0.
-2, -2/7
Let i = 59970/89 - 331146/623. Factor 4/7*p**3 - 2287148/7 + 82668/7*p - i*p**2.
4*(p - 83)**3/7
Let j be (-5 - 0/3 - -3)/1. Let a be 1*j*(154/(-99) - -1). Find d, given that 2*d**3 + 0 - 4/9*d - a*d**2 - 14/9*d**5 + 10/9*d**4 = 0.
-1, -2/7, 0, 1
Let d = -44 + 48. Suppose 4 = -3*p + d*p. Factor 3*w**3 + w**3 - 9*w**p + 8*w**4 - 5*w**3.
-w**3*(w + 1)
Suppose 3*q + 18 = 6, 4*m = -5*q - 36. Let b(c) = -16*c**2 + 61*c - 29. Let u(t) = 17*t**2 - 62*t + 25. Let k(s) = m*b(s) - 5*u(s). Factor k(n).
-3*(n - 3)*(7*n - 1)
Let c = -92 - 265. Let o = c + 357. Determine h, given that -2/3*h**5 + 2/9*h**2 + o*h + 14/9*h**4 + 0 - 10/9*h**3 = 0.
0, 1/3, 1
Determine u so that 21/5*u**3 - 21/5*u**4 + 0*u + 9*u**2 + 3/5*u**5 + 0 = 0.
-1, 0, 3, 5
Suppose 3*d - 3396*t + 3399*t - 60 = 0, -5*t = d - 68. What is c in -36/5 - d*c - 4/5*c**2 = 0?
-9, -1
Let 11*c**2 + 1068 + 181*c + 162*c - 8*c**2 - 64*c = 0. What is c?
-89, -4
Suppose -29*d = 47 - 221. Suppose -3*c - 12 = -d*c - 3*r, 4*c - 24 = -6*r. Factor -2/7*q**3 + 0*q + c - 2/7*q**2.
-2*q**2*(q + 1)/7
Suppose 2*a - a + 26 = 4*f, 0 = f + 3*a. Suppose 0*p = 3*p - f. Suppose s + 4*s - 7*s - 3*s**p - s = 0. Calculate s.
-1, 0
Let c(t) be the first derivative of 8*t**6/25 + 4*t**5/5 + 5*t**4/8 - 21*t**2 + t + 6. Let s(r) be the second derivative of c(r). Factor s(l).
3*l*(8*l + 5)**2/5
Factor 11*z**4 - 13*z**2 - 9*z - 89844 + 89846 - z**3 + 10*z**3.
(z - 1)*(z + 1)**2*(11*z - 2)
Let l(a) = a**3 + 12*a**2 + 13*a + 40. Let w be l(-11). Suppose -w*y - 13 + 67 = 0. Let -9/5*i**2 - 9/5*i - 3/5*i**y - 3/5 = 0. Calculate i.
-1
Let g(o) be the second derivative of -1/180*o**6 + 5/12*o**2 + 1/6*o**3 + 0 - 1/18*o**4 - 1/20*o**5 + 30*o. Find c, given that g(c) = 0.
-5, -1, 1
Suppose 485*k - 481*k = 0. Suppose -12 = -2*h + 3*s, h + 5*s + 16 + 4 = k. Let 4/5*r**3 - 4/5*r**2 - 8/5*r + h = 0. Calculate r.
-1, 0, 2
Let o = 12 + -9. Determine z so that -198*z + 259*z**o - 56*z**2 - 133*z**3 - 130*z**3 + 2*z = 0.
-7, 0
Let w(k) be the third derivative of -2 + 2*k**2 - 1/180*k**5 + 7/18*k**3 + 0*k + 1/12*k**4. Factor w(q).
-(q - 7)*(q + 1)/3
Let o = 1208595 - 1208593. Factor 2/3*h + 20/9 - 2/9*h**o.
-2*(h - 5)*(h + 2)/9
Let h = -862 - -864. Suppose 3*v + 6 = -h*p, -3*v - 2*v + 3*p + 9 = 0. Suppose 2/21*a**3 + 0*a + v - 4/21*a**2 = 0. Calculate a.
0, 2
Suppose -5*k - 109 = 3*d, k = 4*d - 4*k + 157. Let u = -36 - d. What is q in -18*q**2 + 32*q**2 - 12*q**u - 8 = 0?
-2, 2
Find z such that -310/17*z - 8/17*z**4 + 86/17*z**2 - 78/17 + 310/17*z**3 = 0.
-1, -1/4, 1, 39
Let h(y) be the third derivative of -y**8/1680 - y**7/525 + y**6/50 + 7*y**5/150 - 11*y**4/120 - 2*y**3/5 - 1990*y**2. Find c, given that h(c) = 0.
-4, -1, 1, 3
Let s(f) = -10*f**2 - 945*f + 1135. Let k(r) = r**2 + 104*r - 126. Let h(y) = 55*k(y) + 6*s(y). Solve h(a) = 0 for a.
4, 6
Let p(q) be the third derivative of q**6/40 - 11*q**5/4 - 937*q**2. Suppose p(c) = 0. What is c?
0, 55
Let g(n) be the first derivative of -3/10*n**4 + 0*n - 88 + 4/15*n**6 - 8/25*n**5 + 4/15*n**3 + 1/5*n**2. Determine c so that g(c) = 0.
-1/2, 0, 1
Let t = 4964 + -4962. Let z(h) be the second derivative of -1/20*h**5 + 0 - 1/10*h**6 + 2*h**t - 2*h**3 + 11/12*h**4 - 11*h + 1/42*h**7. Solve z(g) = 0.
-2, 1, 2
Suppose 119*n + 299*n = 36*n + 2*n. Let c(l) be the third derivative of 3/4*l**3 + n*l + 0 - 40*l**2 + 1/8*l**4 - 1/40*l**5. Factor c(r).
-3*(r - 3)*(r + 1)/2
Suppose -210 = -2*s - 5*k, 16*s - 120 = 15*s + 5*k. Factor 32*a - 13*a - 9*a - s*a**3 - 10*a - 5*a**4.
-5*a**3*(a + 22)
Let t(x) = 2*x - 28 + 31*x**2 - 12*x**2 - 33*x**3 + 49*x**3 - 23*x**3. Let y(g) = -15*g**3 + 39*g**2 + 6*g - 57. Let w(s) = 9*t(s) - 4*y(s). Factor w(m).
-3*(m - 4)*(m - 2)*(m + 1)
Factor -20000/7 + 400/7*n - 2/7*n**2.
-2*(n - 100)**2/7
Let z(f) be the second derivative of f**4/66 - 5*f**3/11 - 406*f**2/11 + 296*f. Let z(x) = 0. What is x?
-14, 29
Let m(w) be the second derivative of w**5/70 - 19*w**4/21 - 15*w**3/7 + 234*w**2/7 - 20*w - 99. Factor m(u).
2*(u - 39)*(u - 2)*(u + 3)/7
Let w(o) be the first derivative of -o**4/28 + 80*o**3/7 - 477*o**2/14 + 34*o - 1323. Determine c, given that w(c) = 0.
1, 238
Let r = 7 + -14. Let u be (4 + 4 + r)*13. What is m in -u*m**2 - 14*m**2 + 29*m**2 + 2 + 4*m = 0?
-1
Let b be 1 + (-15)/(-9) - 4/6. Let c(o) = -o**3 - 11*o**2 - 22*o - 30. Let t be c(-9). Determine h so that -6*h**2 - 12*h**2 - 20*h + 18*h**2 - t - 6*h**b = 0.
-3, -1/3
Let b be 2/(-7) + (1476/21 - 6). Let v = b - 59. Factor -17*d**2 + 0*d**3 - 16*d + 4*d**v + 12*d**3 + d**2 + 0*d**2 + 16*d**4.
4*d*(d - 1)*(d + 1)*(d + 2)**2
Let l(u) = u**3 + 5*u**2 - 35*u + 21. Let s be l(-9). Let r be (0 - s)*(-88)/2508. Factor r + 2/19*b**3 - 2/19*b**2 - 8/19*b.
2*(b - 2)*(b - 1)*(b + 2)/19
Solve 23/4*x**2 + 50*x + 75 - 1/4*x**3 = 0.
-5, -2, 30
Let k(u) = u**3 - 7*u - 3. Let p(n) be the first derivative of -n**4 - 2*n**3/3 + 11*n**2 + 10*n + 41. Let c(h) = 20*k(h) + 6*p(h). Let c(m) = 0. Calculate m.
-2, -1, 0
Let n(b) be the second derivative of -b**6/72 - 13*b**5/12 + 45*b**4/8 - b**3/3 - 6*b**2 + 20*b. Let c(h) be the second derivative of n(h). Factor c(u).
-5*(u - 1)*(u + 27)
Let s(r) be the second derivative of r**7/14 - 11*r**6/5 + 117*r**5/10 - 28*r**4 + 73*r**3/2 - 27*r**2 - 428*r. Let s(g) = 0. Calculate g.
1, 18
Let f(r) be the second derivative of 56*r - 7/3*r**3 + 1/10*r**5 - r**4 + 0 + 0*r**2. Determine o so that f(o) = 0.
-1, 0, 7
Let z(y) be the third derivative of -y**5/30 - 59*y**4 + 709*y**3/3 + 13350*y**2. What is f in z(f) = 0?
-709, 1
Let z(d) be the second derivative of -d**6/15 - 39*d**5/10 + 20*d**4/3 + 9*d - 97. Factor z(n).
-2*n**2*(n - 1)*(n + 40)
Solve 128/7 + 2/7*l**4 + 36/7*l**3 - 216/7*l + 50/7*l**2 = 0 for l.
-16, -4, 1
Let p(u) = 71*u**4 + 163*u**3 - 139*u**2 - 573*u + 533. Let g(z) = -41*z**4 - 81*z**3 + 69*z**2 + 287*z - 267. Let i(b) = 5*g(b) + 3*p(b). Solve i(q) = 0 for q.
-11, -2, 1, 3/2
Let t(u) be the third derivative of -u**7/1050 + 13*u**6/120 + u**5/300 - 13*u**4/24 + 541*u**2. Factor t(w).
-w*(w - 65)*(w - 1)*(w + 1)/5
Suppose -940*l + 1170 - 1512 = 1176*l - 4574. Solve -20/3*t - 518/3*t**l + 50/3 - 328*t**4 + 1184/3*t**3 + 96*t**5 = 0 for t.
-1/4, 5/6, 1
Let d be (6 - 532/98)*7. Find n, given that -65/6*n**3 - 10/3 + 115/6*n**d - 35/6*n**5 - 95/6*n**2 + 50/3*n = 0.
-1, 2/7, 1, 2
Let x = 1/2487 - -44759/17409. Find n, given that -61/7*n - n**2 + x = 0.
-9, 2/7
Let m(y) be the second derivative of 3/2*y**3 - 11*y**2 + 20 + 1/12*y**4 - 2*y. Factor m(n).
(n - 2)*(n + 11)
Let m(t) = t**4 + t**3 - t**2. Let g(i) = 2*i**5 + 4*i**3 + 8*i**2 - 8. Let j be (1/2)/(23/46). Let l(y) = j*g(y) - 6*m(y). Solve l(c) = 0.
-1, 1, 2
Let r(p) be the third derivative of -p**5/20 + 637*p**4/8 - 318*p**3 + 87*p**2. Suppose r(z) = 0. What is z?
1, 636
Let r(v) be the first derivative of v**4/4 + 74*v**3 - 928. Factor r(n).
n**2*(n + 222)
Suppose -1291*y = -1284*y - 2058. Let m = 2353/8 - y. Factor 1/2*t + 1/2 + m*t**2.
(t + 2)**2/8
Factor 761366/11*i**3 - 2298962/11*i**2 + 2303920/11*i + 2/11*i**5 + 2474/11*i**4 - 768800/11.
2*(i - 1)**3*(i + 620)**2/11
Suppose -2*y + 28 = -2*t, -5*t = y - t + 1. Suppose 14*z - 36 = y*z. Solve 44*r - z - 8*r**3 + 28 + 20*r**4 - 60*r**2 + 20*r - 32 = 0.
-2, 2/5, 1
Let v(x) = -4*x + x**3 - 4*x**2 + 2*x**3 - 2*x**2 + 5. Let u(n) be the first derivative of n**4/4 + n - 1333. Let m(r) = 5*u(r) - v(r). Factor m(i).
2*i*(i + 1)*(i + 2)
Let c be (-20)/12 + (-5880)/(-2520). Solve c*l**2 + 70/3*l + 68/3 = 0.
-34, -1
Let x(j) be the second derivative of -3*j**2 - 1/14*j**4 - 73 - 2*j - 64/21*j**3. Solve 