uppose -275*k + 282*k - 28 = 0. Factor 1545*u**5 - u**3 - 5*u**3 - 1543*u**5 - 4*u**k.
2*u**3*(u - 3)*(u + 1)
Let y = 106119/12494 + 40/6247. Determine z, given that -161/2*z**2 + 1/2*z**5 + y*z**4 + 67/2*z**3 + 686 - 392*z = 0.
-7, 2
Let l = 117 - 115. Factor -f**2 - 5*f**l - 68*f**4 + 2*f**2 + 64*f**4 + 8*f**3.
-4*f**2*(f - 1)**2
Let p(t) = -t**2 - 1. Suppose -6 = u - 7. Let y(l) = 44*l**3 + 2*l**2 - 6. Let q(d) = u*y(d) - 6*p(d). Solve q(n) = 0 for n.
-2/11, 0
Let i(p) = -29*p**2 + 21*p + 356. Let a(h) = -4*h**2 - 4*h + 1. Let u(w) = 6*a(w) - i(w). Factor u(f).
5*(f - 14)*(f + 5)
Let c(b) be the third derivative of -b**8/30240 - 2*b**7/315 - 8*b**6/15 - 7*b**5/60 - b**2 - 16. Let a(m) be the third derivative of c(m). Factor a(w).
-2*(w + 24)**2/3
Let t(d) be the third derivative of -d**8/672 + d**7/630 + 73*d**6/720 + d**5/30 - 61*d**4/36 - 20*d**3/9 - d**2 - 1419. Determine z, given that t(z) = 0.
-4, -2, -1/3, 2, 5
Solve 2144*a**4 + 8604*a + 2030*a**3 + 1060*a**3 + 1620 - 2219*a**4 - 2813*a**2 + 15446*a**2 = 0 for a.
-3, -2/5, 45
Suppose 2*k - 4 = v, -5*k - 5 = -0*k + 5*v. Suppose k = -3*q + 3*h + 7, -q = 3*h - 2. Factor -6*y + 0*y**q + y**2 - 6*y**2 + y.
-5*y*(y + 1)
Let j(r) = 4*r**2 + 710*r - 684. Let y(l) = -5*l**2 - 709*l + 669. Let k(p) = 3*j(p) + 2*y(p). Factor k(m).
2*(m - 1)*(m + 357)
Determine v, given that 425*v + 1244*v - 31670 + v**2 - 87*v + 657351 = 0.
-791
Suppose -454*c + 434 + 1123 = -713. Find b, given that 0*b - 1/7*b**3 + 1/7*b**c - 1/7*b**4 + 1/7*b**2 + 0 = 0.
-1, 0, 1
Let f(j) = j**3 - 2*j. Let d(p) = 12*p**3 + 30*p**2 + 199*p. Let v(g) = 4*d(g) - 44*f(g). Factor v(l).
4*l*(l + 13)*(l + 17)
Let w(y) be the first derivative of y**6/1260 - y**5/70 + 12*y**3/7 + 108*y**2 - 160. Let b(m) be the second derivative of w(m). Factor b(q).
2*(q - 6)**2*(q + 3)/21
Suppose 708*u - 27*u**2 - 13924/3 = 0. What is u?
118/9
Let -d**2 + 1/2*d**5 - 79/2*d - 39/2 + 39*d**3 + 41/2*d**4 = 0. Calculate d.
-39, -1, 1
Let w(f) be the third derivative of f**8/1344 + f**7/504 - f**6/72 + f**4/12 + 7*f**3/6 - 8*f**2 + 6. Let y(a) be the second derivative of w(a). Factor y(c).
5*c*(c - 1)*(c + 2)
Let w(p) be the third derivative of -1/6*p**6 - 2/21*p**7 + p**4 - 1/84*p**8 + 0*p**3 + 1/3*p**5 + 0 - 3*p + 5*p**2. Solve w(u) = 0 for u.
-3, -2, -1, 0, 1
Let a(b) be the third derivative of b**7/42 + 13*b**6/24 + 13*b**5/6 - 65*b**4/6 - 100*b**3 + b**2 + 15*b + 6. Solve a(s) = 0 for s.
-10, -3, -2, 2
Let n(q) be the second derivative of q**5/150 + 2*q**4/45 - q**3/45 - 4*q**2/15 - 6*q + 141. Determine a so that n(a) = 0.
-4, -1, 1
Let t be 17/(17/6) + -4. Factor -19*x**t + 20*x + 66*x + 100 - 6*x + x**3.
(x - 10)**2*(x + 1)
Let n(q) be the third derivative of -23*q**2 + 0 + 37/150*q**6 + 0*q**3 + 2/525*q**7 + 24/5*q**5 + 54/5*q**4 - q. Suppose n(y) = 0. What is y?
-18, -1, 0
Let w = 1118 + -480. Let t be w/33 + -5 + -3. Factor -40/3*h + t*h**2 - 8/3*h**3 + 8/3.
-2*(h - 2)**2*(4*h - 1)/3
Let m(q) = q**2 + 19*q - 26. Suppose 53 = 4*x - 79. Let j(l) = -8 - 7*l - 13*l + x. Let h(u) = 6*j(u) + 5*m(u). Factor h(z).
5*(z - 4)*(z - 1)
Suppose -5*w + 2*p + 66 = -p, -38 = -4*w - 5*p. Let g be 32/(-24)*(w/(-40) + 0). Determine y, given that 2*y**3 - 16/5*y**2 + 0 - g*y**4 + 8/5*y = 0.
0, 1, 2
Let f(g) = -3*g**4 - g**2 - g - 3. Let k(d) = -12*d**4 - 114*d**3 - 254*d**2 + 355*d - 15. Let p(h) = 5*f(h) - k(h). Let p(a) = 0. What is a?
-3, 0, 1, 40
Let h be 528/(-16) + 17 + 140/8. Find f, given that 3/8*f**3 - 27/4 - 9/8*f + h*f**2 = 0.
-3, 2
Let v(a) be the third derivative of a**5/20 + 267*a**4 + 570312*a**3 - 3613*a**2. Suppose v(w) = 0. Calculate w.
-1068
Factor 2/5*x**3 + 12/5*x**2 + 0*x - 64/5.
2*(x - 2)*(x + 4)**2/5
Suppose 4*p + g - 18 + 1 = 0, p + 2*g - 6 = 0. Let i = 33 - 31. Find m, given that 13*m**2 + 204*m**i - 105*m**4 - 20 + 5*m**p + 8*m**2 + 85*m**3 + 20*m = 0.
-1, -2/5, 1/4, 2
Suppose -417*h - 33 = -428*h. Let y(t) be the third derivative of 0*t + 0 + 0*t**h - 1/42*t**7 - 5/24*t**4 - 1/4*t**5 + 25*t**2 - 1/8*t**6. Factor y(u).
-5*u*(u + 1)**3
Solve 602789 + 3623*a + 5*a**2 + 457987 + 1627*a - 11956 - 670*a = 0.
-458
Suppose 3*v - w - 801 = 2*v, -v - 4*w + 826 = 0. Let r = v + -804. Solve 0*i - 2/5*i**4 + 2/5*i**3 + 0*i**r + 0 - 4/5*i**5 = 0.
-1, 0, 1/2
Factor 52*s**3 + 512*s - 490*s**2 + 264*s**2 + 4*s**4 + 190 + 474*s**2 + 194.
4*(s + 2)*(s + 3)*(s + 4)**2
Let q(y) be the first derivative of y**4/10 - 2*y**3/3 + 2*y**2/5 + 16*y/5 - 2283. Factor q(r).
2*(r - 4)*(r - 2)*(r + 1)/5
Let l(a) be the third derivative of 44/3*a**4 - a**2 - 32 + 8*a**3 + 49/30*a**6 + 35/3*a**5 + 0*a. Let l(z) = 0. What is z?
-3, -2/7
Let h(p) = 5*p**2 - 140*p. Let w be h(28). Let z(c) be the third derivative of 1/150*c**5 + w + 9*c**2 - 1/20*c**4 + 2/15*c**3 + 0*c. Solve z(l) = 0 for l.
1, 2
Let f be (-4)/14 + 34 + (-29952)/910. Let t(j) be the first derivative of -f*j**3 + 0*j**2 + 0*j - 1/10*j**6 + 0*j**4 + 9/25*j**5 - 36. Solve t(h) = 0.
-1, 0, 2
Let g = 244837/5 - 48965. Solve g + 4/5*h**2 - 16/5*h = 0 for h.
1, 3
Suppose -44 = -4*q + 4*g - 24, q - 5*g = 13. Let w(v) be the second derivative of 1/23*v**q - 10*v - 1/23*v**2 + 0 + 2/69*v**4. Suppose w(m) = 0. What is m?
-1, 1/4
Let k(g) be the second derivative of -2*g**7/21 - 113*g**6/30 - 17*g**5 - 191*g**4/6 - 88*g**3/3 - 25*g**2/2 - 8018*g. Determine z so that k(z) = 0.
-25, -1, -1/4
Find s, given that -4*s**2 - 927*s - 23*s - 2*s - 1888 = 0.
-236, -2
Let y(l) be the second derivative of -88*l + 0 - 42/17*l**2 + 1/102*l**4 + 11/51*l**3. Factor y(s).
2*(s - 3)*(s + 14)/17
Let b be (-5)/8 - 76/(22496/(-925)). Factor 0 - 1/4*z**5 + 0*z + 0*z**2 - b*z**3 - 7/4*z**4.
-z**3*(z + 2)*(z + 5)/4
Let s be 176/2288*(-1170)/(-20). Factor 9/2*l + 1/2*l**2 - 1/2*l**3 - s.
-(l - 3)*(l - 1)*(l + 3)/2
Suppose -n + 3 = 0, -3*n = 4*m - 0*n - 17. Let w be m/(-42)*-2 + 16002/26460. Solve 9/10 + w*r**2 + 3/2*r + 1/10*r**3 = 0 for r.
-3, -1
Let m(n) = 3*n**3 + 139*n**2 - 383*n + 246. Let z(g) = 2*g**3 + 70*g**2 - 191*g + 122. Let i(d) = -6*m(d) + 10*z(d). Determine p, given that i(p) = 0.
1, 2, 64
Suppose 4*w + n - 14 = 0, 3*w - 3 = 9*n - 6*n. Find t such that -90*t**4 + 14773*t**2 + 375*t**w + 35*t**5 - 130*t**4 - 14863*t**2 = 0.
0, 2/7, 3
Let x(d) = -5*d - 172. Let c be x(-32). Let z be 4*(2/c - (-44)/48). Factor 2/11*k**z + 0 + 0*k + 4/11*k**2.
2*k**2*(k + 2)/11
Determine u, given that 22*u**2 - 499*u**4 + 100*u**5 + 144 + 480*u + 30*u**2 + 0*u**5 - 676*u**3 + 399*u**4 = 0.
-2, -3/5, -2/5, 1, 3
Let o(i) be the second derivative of -i**7/3360 - i**6/480 + i**3/3 - 12*i**2 - 58*i. Let y(d) be the second derivative of o(d). Suppose y(x) = 0. What is x?
-3, 0
Suppose 1224/13*i**2 + 232/13*i - 96/13 + 10/13*i**4 - 78*i**3 + 84/13*i**5 = 0. What is i?
-4, -1/3, 3/14, 2
Let j(f) = -2*f**2 - 9*f. Let a(k) = k**2 + 4*k. Let y be 212/(-18) + 2 + (-238)/1071. Suppose 3*n + 7 = -5. Let q(r) = n*j(r) + y*a(r). Factor q(z).
-2*z*(z + 2)
Suppose 47*a - 46*a = -i - 2, 5*i - 5 = -2*a. Let s(q) be the first derivative of -9 + 0*q + 1/20*q**4 + 5/2*q**2 - 2/3*q**i. Solve s(v) = 0.
0, 5
Let a(s) be the first derivative of -7/15*s**2 + 0*s + 96 - 3/10*s**4 + 2/3*s**3 + 2/75*s**5. Factor a(z).
2*z*(z - 7)*(z - 1)**2/15
Let y(c) be the third derivative of 19/80*c**5 + 21/160*c**6 + 28*c**2 + 9/280*c**7 + 0 + 3/16*c**4 + c + 1/448*c**8 + 0*c**3. Find j, given that y(j) = 0.
-6, -1, 0
Let i be (-14)/91 + (-280)/(-468). Let a = 11/60 - -287/180. Factor -a + 16/9*n - 8/9*n**3 - i*n**4 + 4/3*n**2.
-4*(n - 1)**2*(n + 2)**2/9
Let o(r) be the second derivative of -r**5/4 - 120*r**4 - 1435*r**3/6 - 219*r - 1. Factor o(u).
-5*u*(u + 1)*(u + 287)
Suppose 0 = 4*p - 4, -94 = -4*u + 2*p. Let z be (5*(-5)/(-70))/(30/u). Factor -3/7 + 1/7*v**2 + z*v.
(v - 1)*(v + 3)/7
Let p(u) = -3*u**2 - 6*u - 1. Let l(c) = 10*c**2 - 52*c + 258. Let m(y) = l(y) + 2*p(y). Solve m(t) = 0.
8
Let y(p) = -27222*p + 4. Let f be y(0). Factor 8/5*z**2 + 0 + 2*z**3 + 2/5*z**f + 0*z.
2*z**2*(z + 1)*(z + 4)/5
Let u be (-28)/18*96/(-112). Let k(n) = 5*n**2 + 396*n + 788. Let y be k(-2). Factor y*p - u*p**2 - 48.
-4*(p - 6)**2/3
Let u(r) = 6*r + 30. Let o be u(3). Factor 86*s - 87 + 67 + 6*s**2 + o.
2*(s + 14)*(3*s + 1)
Suppose -11*i + 2865 = 2799. Let p(o) be the second derivative of -25*o + 0 + 