53 = 231. Let n = 78 - l. Find b, given that -b**5 - 2*b + 3*b**5 - 64 - 4*b**n + 4*b**4 + 64 = 0.
-1, 0, 1
Let s(l) be the second derivative of -5*l**4/12 - 80*l**3/3 - 232*l. Factor s(b).
-5*b*(b + 32)
Let w(z) be the third derivative of -z**8/1680 - z**7/840 + z**6/360 + z**5/120 + 38*z**3/3 + 9*z**2. Let k(m) be the first derivative of w(m). Factor k(y).
-y*(y - 1)*(y + 1)**2
Let l(n) be the third derivative of n**6/40 - 41*n**5/60 - 55*n**4/12 - 16*n**3/3 + 14*n**2 - 20*n. Determine h, given that l(h) = 0.
-2, -1/3, 16
Let l(r) be the first derivative of 6*r**3 - 52*r**2 - 21*r - 58. Let s be l(6). Factor -3/2*g**s + 9/2*g**2 - 3*g + 0.
-3*g*(g - 2)*(g - 1)/2
Suppose 3*c = 8*c + n - 1016, 0 = 3*n + 12. Suppose -20*m - 204 = -c. Let 1/4*k**2 + m + 1/4*k = 0. What is k?
-1, 0
Let g = -329595 - -329598. Suppose 1/4*c**g + 91/4*c - 17/4*c**2 - 147/4 = 0. Calculate c.
3, 7
Let y = -1605/22 + 808/11. Let m(l) be the first derivative of 0*l - y*l**5 - 5/8*l**4 + 0*l**2 - 5 + 5/3*l**3. Factor m(b).
-5*b**2*(b - 1)*(b + 2)/2
Let k(d) be the second derivative of d**4/54 + 704*d**3/27 + 123904*d**2/9 + d - 1828. Factor k(a).
2*(a + 352)**2/9
Factor -719 - r**2 - 48*r + 1282 + 269 + 252*r.
-(r - 208)*(r + 4)
Let v = 1/1054541 + 14035940703/7381787. Let p = 1910 - v. Factor 18/7 + p*w + 50/7*w**2.
2*(5*w + 3)**2/7
Let a be (-372)/1 + (9 - (8 + -2)). Let g = a - -1108/3. Let -g*j + 3/2*j**4 + 1/3*j**3 + 0 - 3/2*j**2 = 0. Calculate j.
-1, -2/9, 0, 1
Factor 0 - 320/3*j + 1/9*j**3 - 478/9*j**2.
j*(j - 480)*(j + 2)/9
Let v(i) be the second derivative of -11*i**7/294 + 67*i**6/105 - 94*i**5/35 - 116*i**4/21 + 40*i**3 - 144*i**2/7 - 5757*i. Determine w, given that v(w) = 0.
-2, 2/11, 2, 6
Let s be ((-95)/(-76))/((-10)/(-7)). Let q(n) be the first derivative of -9 - 1/12*n**3 - s*n**2 + 2*n. Factor q(r).
-(r - 1)*(r + 8)/4
Let w(f) be the first derivative of -f**9/15120 + f**8/1050 - f**7/600 + 13*f**3/3 + 6*f - 152. Let j(h) be the third derivative of w(h). Factor j(q).
-q**3*(q - 7)*(q - 1)/5
Let c(w) be the first derivative of 0*w - 45 - 4/3*w**2 + 1/18*w**4 - 8/27*w**3. Factor c(n).
2*n*(n - 6)*(n + 2)/9
Factor -108*c - 153/2*c**4 - 276*c**2 - 222*c**3 - 39/4*c**5 + 24.
-3*(c + 2)**4*(13*c - 2)/4
Factor -6*u**2 + u**3 + 26*u + 5 + 14*u + 1 - 41*u.
(u - 6)*(u - 1)*(u + 1)
Let p(d) be the first derivative of -1/3*d**4 + 2/15*d**5 - 4/9*d**3 + 2/3*d + 2 + 1/3*d**2 + 1/9*d**6. Suppose p(g) = 0. Calculate g.
-1, 1
Let z(o) = -14*o**4 - 164*o**3 + 860*o**2 + 228*o. Let s(j) = 41*j**4 + 492*j**3 - 2582*j**2 - 686*j. Let l(k) = -2*s(k) - 7*z(k). Factor l(w).
4*w*(w - 4)*(w + 14)*(4*w + 1)
Let m be (-10576)/(-1640) - (-202)/(-4141). Factor -m*x + 1/5*x**2 - 33/5.
(x - 33)*(x + 1)/5
Suppose 2465*x - 687*x**2 - 116*x**3 - 840 - 120*x**3 - 781*x - 161*x**2 + 240*x**3 = 0. What is x?
1, 210
Suppose 3*k - 8 = -2*j, 0*j + k = -5*j + 20. Solve 28*i**2 + j*i - 267*i**3 - 263*i**3 + 543*i**3 = 0 for i.
-2, -2/13, 0
Let v(o) be the first derivative of 3/20*o**4 - 99 + 1/3*o**3 - 1/5*o**2 + 0*o. Factor v(f).
f*(f + 2)*(3*f - 1)/5
Let k = 56/183 + 133295/366. Solve 486*h - 1/2*h**4 - k - 135*h**2 + 14*h**3 = 0.
1, 9
Suppose 13*f + 0*f - f = 2*f. Let q(k) be the third derivative of f + 0*k - 1/96*k**4 + 1/160*k**6 - 1/96*k**5 + 1/48*k**3 - 10*k**2. Factor q(s).
(s - 1)*(2*s + 1)*(3*s - 1)/8
Let x be -9*(-56)/(-126) - (-2 - 1) - -4. Let l(z) be the second derivative of -z**x - 12*z**2 - 1/32*z**4 - 7*z + 0. Determine m, given that l(m) = 0.
-8
Let m(v) be the second derivative of v**7/483 - 29*v**6/345 + 84*v**5/115 + 5928*v. Factor m(w).
2*w**3*(w - 21)*(w - 8)/23
Let f = 2279/5720 - -9/5720. Factor -4/5*k**2 + 4/5 - f*k**3 + 2/5*k.
-2*(k - 1)*(k + 1)*(k + 2)/5
Let q be -7 + 1/4 + ((-83125)/100)/(-95). Factor -1323/8 + 63/4*h - 3/8*h**q.
-3*(h - 21)**2/8
Find t, given that 860 - 94*t**2 - 93*t**2 + 864*t + 294*t**2 - 103*t**2 = 0.
-215, -1
Let n(r) be the first derivative of r**3/3 - r**2 + 38*r + 3. Let z be n(-13). Solve -5*p**3 - z*p + 8*p**2 + 236*p - 2 - 4*p**5 + 8*p**4 - 20*p**4 = 0.
-2, -1, 1/2
Find n such that n**3 + 13579*n - 13514*n - 30 + 2*n**5 + 3*n**5 + 2*n**4 - 20*n**2 - 31*n**3 + 8*n**4 = 0.
-3, -2, 1
Let n(x) be the first derivative of -x**8/10080 - x**7/5040 + x**6/270 + x**5/60 + 34*x**3/3 - 75. Let a(o) be the third derivative of n(o). Factor a(u).
-u*(u - 3)*(u + 2)**2/6
Let 18*c + 168*c**2 - 3*c**3 + 62*c + 4*c**4 + 72*c**3 - 25*c**3 + 4*c**3 - 300 = 0. Calculate c.
-5, -3, 1
Factor 331*t**3 - 80*t**2 + 338*t**3 + 205*t - 111 - 19 - 664*t**3.
5*(t - 13)*(t - 2)*(t - 1)
Factor 44/7 + 2/7*p**2 - 26/7*p.
2*(p - 11)*(p - 2)/7
Let j(i) be the first derivative of 5*i**3/3 - 130*i**2 + 500*i + 7857. Factor j(m).
5*(m - 50)*(m - 2)
Let a(j) be the first derivative of -j**4/4 - 34*j**3/3 - 203*j**2/2 + 550*j + 9602. Factor a(n).
-(n - 2)*(n + 11)*(n + 25)
Suppose -11*t + 5 = -16*t, 11*s - t + 11021 = 0. Let g = 1005 + s. Let -2662/9 - 242/3*v - 22/3*v**2 - 2/9*v**g = 0. What is v?
-11
Factor 64/15 + 12/5*r + 2/15*r**2.
2*(r + 2)*(r + 16)/15
Suppose -4*s + 732 = -5*f + 712, 0 = -5*s + f + 4. Factor 1/2*u**2 - 19/6*u + s.
u*(3*u - 19)/6
Suppose 56 = -17*t - 114. Let k(o) = 16*o**2 - 28*o - 70. Suppose 3 = -5*m + 6*m. Let a(y) = 5*y**2 - 9*y - 23. Let p(b) = m*k(b) + t*a(b). Factor p(d).
-2*(d - 5)*(d + 2)
Let i(t) be the first derivative of 2*t**5/35 + 89*t**4/14 + 1348*t**3/7 + 1760*t**2/7 - 7744*t/7 + 829. Determine y so that i(y) = 0.
-44, -2, 1
Let a = 25582 + -25577. Solve -4/9 + 2/9*i - 4/9*i**4 + 8/9*i**2 + 2/9*i**a - 4/9*i**3 = 0.
-1, 1, 2
Let w(h) = -26*h - 89. Let r be w(-4). Let l be r/2*17/170. Factor -l*f**2 + 1/4*f**3 - 1/4*f + 3/4.
(f - 3)*(f - 1)*(f + 1)/4
Let s = -877171 - -6140307/7. Factor 8/7*w**4 + 0*w - 4*w**2 + s*w**3 + 0.
2*w**2*(w + 14)*(4*w - 1)/7
Let x(c) = -c**2 - 6*c + 1. Let l(y) = -2*y**2 - 11*y + 1. Suppose 18 - 6 = 6*q. Suppose a + q*a = -18. Let u(g) = a*l(g) + 10*x(g). Factor u(o).
2*(o + 1)*(o + 2)
Let b = -1/10 - -3/5. Let h be ((-935)/(-255) - (-1 + 5))*0/(-13). What is w in -7/2*w**3 - b*w**5 + 5/2*w**4 + 0*w + 3/2*w**2 + h = 0?
0, 1, 3
Let j(n) = 5*n + 5. Let x be j(-4). Let i(u) = -52 + 13 + 21*u**2 + 148*u - 55*u. Let l(w) = -w + 1. Let t(s) = x*l(s) - i(s). Factor t(q).
-3*(q + 4)*(7*q - 2)
Let h = -29 - -34. Suppose 5 = -4*v - 3*a + 1, 0 = -h*v - 2*a + 2. Factor 24*l + 4 - 16*l**2 + 6*l**v + 31*l**2 - 49*l**3.
-(l - 1)*(7*l + 2)**2
Let n(i) be the first derivative of 24*i + 41*i**2 - 7/3*i**3 + 215. Factor n(j).
-(j - 12)*(7*j + 2)
Suppose -108*d = -96*d - 1872. Find c such that -68*c**4 + 36 + 43*c**3 + 70*c**4 + 128*c + d*c**2 - 23*c**2 = 0.
-18, -2, -1, -1/2
Let 97/3*i + 5*i**3 + 23*i**2 + 14 + 1/3*i**4 = 0. Calculate i.
-7, -6, -1
Let i be -1*(12/(-3) + 3). Suppose -3*d = -f - i - 12, -5*d + 24 = -4*f. Solve 7*v - v**2 - 4*v**2 - 4*v**3 + v**2 - d + 2 = 0.
-2, 1/2
Let q(m) = -m**3 - 4*m**2 + 62*m + 55. Let f(x) = x**3 + 5*x**2 - 61*x - 57. Let k(l) = -10*f(l) - 8*q(l). Factor k(r).
-2*(r - 5)*(r + 1)*(r + 13)
Let u(i) be the first derivative of 0*i**4 - i**2 + 1/5*i**5 + 65 + 0*i - i**3. Solve u(s) = 0.
-1, 0, 2
Let l(t) be the second derivative of -t**6/150 + 2*t**5/75 + t**4/10 + 9*t**2 + t - 13. Let v(y) be the first derivative of l(y). Factor v(r).
-4*r*(r - 3)*(r + 1)/5
Factor -1/3*b**2 + 0 + 1/6*b**3 + 0*b.
b**2*(b - 2)/6
Let n = 6 - 4. Suppose -2*s = -n*b + 2, -2*b - 4*s + 26 = -0*b. Factor t + 15*t**2 - 15*t**3 - t - 3*t + b*t**4 - 2*t.
5*t*(t - 1)**3
Suppose 0 = -4*h + 16, 0 = 3*k - 4*h + 1. Suppose 3 = -k*x + 18. Factor -20*d - 2*d**x - 3*d**2 + d**2 - 8 - 2*d**3 - 14*d**2.
-4*(d + 1)**2*(d + 2)
Let h(t) = -5*t**3 + 1540*t**2 - 118575*t - 120090. Let w(g) = -5*g**3 + 1541*g**2 - 118575*g - 120097. Let u(d) = 4*h(d) - 5*w(d). Factor u(x).
5*(x - 155)**2*(x + 1)
Suppose -2*v - l - l - 18 = 0, 0 = 3*v - 5*l - 13. Let t(r) = -3*r**2 + 4*r - 13. Let b(y) = 5*y**2 - 8*y + 24. Let w(g) = v*b(g) - 7*t(g). Factor w(c).
(c - 1)*(c + 5)
Let k be 1566/1624 - ((-6)/21)/1. Let i(w) be the first derivative of 38 - 5/6*w**3 - k*w**2 + 5*w. Factor i(r).
-5*(r - 1)*(r + 2)/2
Let d(a) be the third derivative of 1/630*a**7 - 1/90*a**6 + 1/60*a**5 - 2/9*a**3 + 0 + 8*a**2 - 4*a + 1/18*a**4. Factor d(l).
(l - 2)**2*(l - 1)*(l 