 h(n) = 16*n**3 - 14*n**2 + 24*n - 11. Let j(d) = -6*h(d) - 5*q(d). Factor j(o).
-(o - 4)**2*(o - 1)
Let r(g) = -4*g + 18. Suppose 7*x = 6 + 22. Let n be r(x). Factor -22*a + 0*a**2 - n*a**2 + 18*a + 6.
-2*(a - 1)*(a + 3)
Let s(b) be the third derivative of 23*b**7/630 + 7*b**6/120 - 4*b**5/15 + b**4/18 - 2*b**2 + 25*b - 7. Suppose s(t) = 0. Calculate t.
-2, 0, 2/23, 1
Let h(c) be the third derivative of -11*c**6/108 + 107*c**5/270 + 2*c**4/9 - 4*c**3/3 - c**2 - 57. Find x such that h(x) = 0.
-3/5, 6/11, 2
Let m(u) = 127*u + 383. Suppose -2*y = 5*s - 9, 15 = 55*s - 50*s. Let g be m(y). Factor -1/2*o**g + 1/4*o - 1/4*o**3 + 1/8*o**4 + 3/8.
(o - 3)*(o - 1)*(o + 1)**2/8
Let r = 10351506/19 - 544816. Let r*b**4 + 92/19*b + 30/19 + 36/19*b**3 + 96/19*b**2 = 0. Calculate b.
-15, -1
Let v be 4/49*(-7)/(-2) + 22/(-77). Let j(y) be the third derivative of 0 - 7/120*y**6 + 24*y**2 - 2/3*y**3 - 5/6*y**4 - 23/60*y**5 + v*y. Solve j(b) = 0.
-2, -1, -2/7
Let t be (25 + -99 - -52)*(-2)/5. Determine h so that 48/5*h**2 + t + 2/5*h**3 + 18*h = 0.
-22, -1
Let p(n) be the first derivative of -n**6/30 - 2*n**5/5 - 3*n**4/2 - 8*n**3/3 + 17*n**2 + 53. Let x(h) be the second derivative of p(h). Factor x(o).
-4*(o + 1)**2*(o + 4)
Let a(d) = 8*d - 300. Let g be a(38). Determine f, given that -20*f - 5*f**g + 60 - 24*f**3 - 28*f**3 + 0*f**4 - 23*f**3 + 105*f**3 - 45*f**2 = 0.
-1, 2, 3
Let i(b) be the second derivative of -b**5/30 - 10*b**4/9 - 53*b**3/9 - 34*b**2/3 + 2219*b. Factor i(q).
-2*(q + 1)*(q + 2)*(q + 17)/3
Let y = -110024/45 + 2445. Let u(q) be the second derivative of 0 - 7*q + 1/90*q**4 - 1/150*q**5 + y*q**3 - 1/15*q**2. Factor u(m).
-2*(m - 1)**2*(m + 1)/15
Let v(n) be the second derivative of 3*n**6/2 - 7*n**5/16 - 15*n**4 + 35*n**3/6 + 2*n + 49. Solve v(o) = 0.
-2, 0, 7/36, 2
Factor -34*q**2 - 468 + 88*q + 75*q**2 - 45*q**2.
-4*(q - 13)*(q - 9)
Let r(x) = -13*x**2 + 303*x - 626. Let a(i) = -4*i**2 - 2. Let k(q) = 4*a(q) - r(q). Solve k(c) = 0 for c.
-103, 2
Let s(a) = -a**3 + 154*a**2 - 423*a + 278. Let i(w) = w**3 - 8*w**2 + w + 2. Let u(m) = -2*i(m) - s(m). Factor u(b).
-(b - 2)*(b - 1)*(b + 141)
Let u be 2/4 - (1386/4)/(-7). Determine k so that 36*k**2 - k**3 - 35*k**2 - u*k + 52*k = 0.
-1, 0, 2
Suppose -116*s + 4764 = -112*s. What is g in -3*g**5 + s*g**4 - 1181*g**4 - 5*g**3 - 2*g**5 = 0?
0, 1
Suppose -158*s - 12*s + 4760 = 0. What is d in s*d - 98/13*d**2 - 26 = 0?
13/7
Let o = 12 + -12. Suppose o = -4*a + 5*a. Factor a*u**3 + 34*u**4 - u - 34*u**4 + 2*u**3 - u**5.
-u*(u - 1)**2*(u + 1)**2
Let s = 538/67 - -733/134. What is t in -s*t**3 + 291/4*t**2 - 108*t + 48 + 3/4*t**4 = 0?
1, 8
Let t(q) be the second derivative of -7*q**3/6 - 21*q**2/2 - 11*q. Let w be t(-5). Factor -g + g - w*g + 2*g + 4*g**2.
4*g*(g - 3)
Let h(q) be the second derivative of -1/21*q**4 + 15*q - 1/70*q**5 + 0 + 1/21*q**3 + 2/7*q**2. Factor h(v).
-2*(v - 1)*(v + 1)*(v + 2)/7
Suppose 0 = 4*b + 4*f - 140, -4*f + 12 + 8 = 0. Let l(q) = -q**3 + 28*q**2 + 58*q + 62. Let t be l(b). Factor -1/2*h**t - 18 + 6*h.
-(h - 6)**2/2
Let o(y) be the third derivative of -y**7/210 + y**6/45 - y**5/30 + 57*y**3/2 + 132*y**2. Let p(i) be the first derivative of o(i). Factor p(l).
-4*l*(l - 1)**2
Let m = 19 - -31. Let d be 70/m + 6/10. Factor 18*o**3 + 6*o - 7*o**2 - 9*o**d - 22*o**2 - o**2.
3*o*(o - 2)*(6*o - 1)
Let l(m) be the third derivative of 0*m - 164*m**2 + 1/180*m**6 - 8/45*m**5 - 16/3*m**3 + 13/9*m**4 + 0. Factor l(j).
2*(j - 12)*(j - 2)**2/3
Factor 5174*d**3 - 161*d**2 - d**4 - 5520*d**3 - 527*d**2.
-d**2*(d + 2)*(d + 344)
Determine y, given that 2066722600/17*y + 6126660/17*y**2 + 2060602000/17 + 6062/17*y**3 + 2/17*y**4 = 0.
-1010, -1
Let x(j) = -j**3 + 13633*j**2 - 20657157*j + 10431797627. Let k(m) = 2*m**3 - 40898*m**2 + 61971537*m - 31295392882. Let c(s) = 2*k(s) + 7*x(s). Factor c(l).
-3*(l - 1515)**3
Let d = 37567 - 37567. Let b(s) be the third derivative of d*s**4 + 2/15*s**3 + 9*s**2 + 0 + 0*s + 1/1050*s**7 + 0*s**6 - 1/60*s**5. Solve b(q) = 0 for q.
-2, -1, 1, 2
Let 51*m**2 - 250 - 109*m**2 + 38*m**2 - 25*m - 5*m**3 + 60*m**2 = 0. Calculate m.
-2, 5
Factor m**4 - 25*m - 64 + 19*m**2 + 6*m + 21*m**3 - 2*m + 44.
(m - 1)*(m + 1)**2*(m + 20)
Suppose 3*l + l = 148. Let j = 48 - l. Let -j + 17*c**2 + 28*c - 19 - 3*c - 22*c**2 = 0. Calculate c.
2, 3
Let k(l) be the first derivative of l**6/30 - 2*l**4 - 32*l**3/3 + 2*l**2 - 7*l - 86. Let u(a) be the second derivative of k(a). Factor u(m).
4*(m - 4)*(m + 2)**2
Suppose -4*k - 20 = 0, k = -0*z + 2*z - 63. Suppose u - z = -7. Find s such that 3*s**2 + u*s + 17 - 4*s + 0*s - 2 = 0.
-5, -1
Let h(x) be the first derivative of 2/33*x**3 + 4/11*x - 11 + 3/11*x**2. Factor h(j).
2*(j + 1)*(j + 2)/11
Let l(x) = 15*x**2 - 22*x - 16. Suppose 13*g = 12*g + 7. Let v(r) = -8*r**2 + 12*r + 8. Let u(i) = g*v(i) + 4*l(i). Factor u(y).
4*(y - 2)*(y + 1)
Suppose 2*h - 2*m = 4*h - 10, 20 = 4*h + 2*m. Let f be (h - ((-2280)/(-208) + -6))*8. Solve 2/13*t + 4/13*t**2 - 2/13*t**3 - f = 0.
-1, 1, 2
Let h(o) = 3*o**3 - 31*o**2 + 75*o - 152. Let b be h(8). Suppose 0 + 2/9*f**3 - 2/9*f**2 + b*f = 0. What is f?
0, 1
Let w be (28/(-80))/((-5)/20). Let j = -4766 - -23831/5. Factor w*q - j*q**2 + 0.
-q*(q - 7)/5
Suppose 17*t = 2 + 66. Let r(p) = 3*p**5 - 2*p**4 + 3*p**3 + 4*p. Let f(j) = j**5 - j**2 + 2*j. Let c(n) = t*f(n) - r(n). Determine x, given that c(x) = 0.
-2, 0, 1
Let j(v) = 4*v**4 - 44*v**3 + 176*v**2 - 188*v + 60. Let h(l) = -2*l**4 + 46*l**3 - 177*l**2 + 188*l - 61. Let y(x) = 4*h(x) + 3*j(x). Factor y(s).
4*(s - 1)**3*(s + 16)
Suppose -5*m - 274 = -2*b, -2*b - 42 + 310 = -2*m. Let y = b + -921/7. Factor 1/7*g**3 + 0 - y*g**4 + 3/7*g**2 - 1/7*g.
-g*(g - 1)*(g + 1)*(3*g - 1)/7
Let b(v) be the second derivative of -v**4/8 - 549*v**3/2 - 904203*v**2/4 - 10*v + 17. Factor b(j).
-3*(j + 549)**2/2
Let s(t) be the first derivative of 0*t - 56 - 5*t**5 - 55/4*t**4 - 9/2*t**2 - 13*t**3. Factor s(i).
-i*(i + 1)*(5*i + 3)**2
Let w(f) = -f**5 - 17*f**4 + 19*f**3 + 12*f**2 - 8*f + 5. Let a(d) = -d**4 + d**3 + d + 1. Let g(b) = -20*a(b) + 4*w(b). Determine j so that g(j) = 0.
-13, -1, 0, 1
Let o be (18/20 + (-2)/5)*634. Factor s**2 + 117*s - 4*s**2 - 9*s + o - 1289.
-3*(s - 18)**2
Find h such that -1328/7 + 8/7*h**2 + 5310/7*h = 0.
-664, 1/4
Determine w, given that 450 - 4*w**2 + 45*w + 161*w - 118 + 122*w = 0.
-1, 83
Suppose 5*q + 3*f - 57 = 0, q - 2 = 5*f + 15. Let o(p) = 6*p**2 - 204*p + 4. Let x be o(34). What is k in -15/4*k**x - q*k**3 - 6*k - 3/4 - 27/2*k**2 = 0?
-1, -1/5
Let v be (-166)/20 - 33/(-110). Let p be v + -21*(-8)/20. Factor 0 + 4/5*w + p*w**2.
2*w*(w + 2)/5
Let d = -22681 + 22684. Let m(k) be the second derivative of -2/3*k**d - 4/3*k**2 + 0 + 9*k - 1/9*k**4. Let m(f) = 0. Calculate f.
-2, -1
Let g(f) = 475*f**3 + 117*f**4 + 24*f + 58*f**2 + 36*f + 254*f**2. Let n(h) = -2*h**4 - 2*h**2. Let v(z) = -g(z) + 4*n(z). Find c, given that v(c) = 0.
-3, -2/5, 0
Let q(b) be the first derivative of -3/22*b**4 + 60 - 2/11*b**3 - 2/55*b**5 + 0*b - 1/11*b**2. Let q(y) = 0. Calculate y.
-1, 0
Let d(j) = -2*j**3 - j**2 + 2*j - 1. Let x(w) = -9*w**3 + 519*w**2 + 1566*w + 1026. Let q(u) = 6*d(u) - x(u). Determine p, given that q(p) = 0.
-172, -2, -1
Let g(s) = -s**3 - s**2 - 1. Let j(n) = -n**5 - 25*n**4 + 144*n**3 - 122*n**2 - 2. Let v(z) = -2*g(z) + j(z). Factor v(l).
-l**2*(l - 4)*(l - 1)*(l + 30)
Let i(m) = 17*m**3 - m**2 - 137*m - 141. Let r(v) = -6*v**3 + 46*v + 48. Suppose -5*q + 10 = 0, 3*h - 3*q = -7*q - 25. Let p(f) = h*r(f) - 4*i(f). Factor p(o).
-2*(o - 6)*(o + 1)*(o + 3)
Let w(q) be the second derivative of -q**6/30 + q**4/2 - 4*q**3/3 + 3*q**2/2 + 1288*q. Factor w(j).
-(j - 1)**3*(j + 3)
Let a(c) be the third derivative of c**7/280 + 3*c**6/32 - 37*c**5/20 + 33*c**4/8 + 901*c**2. Let a(n) = 0. Calculate n.
-22, 0, 1, 6
Let o(b) be the third derivative of -b**5/6 - 1955*b**4/24 - 325*b**3/2 - 4*b**2 + 151. Factor o(p).
-5*(p + 195)*(2*p + 1)
Let c(u) be the first derivative of -27/20*u**5 - 3/8*u**4 + 1/8*u**6 + 9/2*u**3 + 14 - 27/4*u + 3/8*u**2. Find h, given that c(h) = 0.
-1, 1, 9
Let k(t) be the third derivative of -1/9*t**6 + 0 + 0*t + 0*t**3 - 2/45*t**5 + 11/315*t**7 + 0*t**4 - 89*t**2. Factor k(r).
2*r**2*(r - 2)*(11*r + 2)/3
Let c(i) = 39*i