f be (6 + -2)/(3*(-2)/t). Factor -3*c**2 + c**2 - c**f - 6*c.
-3*c*(c + 2)
Let o(t) be the first derivative of 25*t**4 - 580*t**3/3 - 2432*t**2 + 28672*t + 7411. Factor o(z).
4*(z + 7)*(5*z - 32)**2
Let j(d) be the third derivative of -d**10/1134000 + d**8/75600 - d**6/5400 + 57*d**5/20 + 6*d**2 - 18. Let o(i) be the third derivative of j(i). Factor o(u).
-2*(u - 1)**2*(u + 1)**2/15
Suppose 25*o - 9081 + 731 = 0. Suppose 0 = -335*w + o*w + 5. Factor 1/9*x**3 + 0*x + 0 + 1/9*x**4 - 1/9*x**w - 1/9*x**2.
-x**2*(x - 1)**2*(x + 1)/9
What is y in 428*y + 9/5*y**3 - 1614/5*y**2 - 712/5 = 0?
2/3, 178
Let h = 31 - 11. Let n(g) = -g + 17. Let a be n(9). Let -5*v**2 - h + 10 - a*v - 7*v = 0. What is v?
-2, -1
Suppose -13 = -2*y + v, 2*v = 3*y + 5*v - 42. Let d be 2 - (0 - (y + -8)). Solve 3/2 + 3/4*t**d - 9/4*t + 0*t**2 = 0 for t.
-2, 1
Find u, given that -1108*u**2 + 3565*u**2 + 945*u - 1118*u**2 - 1204*u**2 - 5*u**3 + 1485 = 0.
-3, 33
Let w(v) be the third derivative of 0*v + 0*v**3 - 1/20*v**5 - 75*v**2 - 7/600*v**6 + 1 - 3/40*v**4 - 1/1050*v**7. Factor w(k).
-k*(k + 1)*(k + 3)**2/5
Factor -94 - 1218*x**2 - 450*x**2 - 1676*x - x**4 + 5*x**4 - 548*x**3 - 466.
4*(x - 140)*(x + 1)**3
Let t(p) be the first derivative of -1/330*p**5 + 0*p + 0*p**4 + 0*p**3 + 9/2*p**2 + 29. Let l(y) be the second derivative of t(y). Factor l(b).
-2*b**2/11
Let u(s) be the second derivative of s**4/6 - 227*s**3/3 - 228*s**2 - 89*s. Factor u(c).
2*(c - 228)*(c + 1)
Let u(z) be the first derivative of 2*z**5/5 - 3854*z**4 + 14853316*z**3 - 28622339932*z**2 + 27577624524482*z + 1942. Let u(m) = 0. What is m?
1927
Let j(n) be the first derivative of -n**6/1080 - n**5/72 + n**4/12 + 47*n**3/3 + 64. Let m(d) be the third derivative of j(d). Factor m(r).
-(r - 1)*(r + 6)/3
Let o = 92 + -57. Let w be 15/(-60) - o/(-12). Solve -w + 4/3*b - 1/6*b**2 = 0 for b.
4
Let b be (-10)/90 + 152/(-171) - (-42)/22. Suppose -5*n = -25, 3*n + 15 = 5*j + 4*n. Factor 12/11 + 2/11*z**j + b*z.
2*(z + 2)*(z + 3)/11
Factor -2/3*p**2 - 88 - 94/3*p.
-2*(p + 3)*(p + 44)/3
Let m(b) = 8*b**2 + b + 2. Let l be m(-1). Let h(v) = 9*v - 67. Let x be h(l). Factor x*p + 11*p - 30*p + 4 + 10*p + p**2.
(p + 1)*(p + 4)
Let t(i) be the third derivative of -i**6/12 - 85*i**5/12 - 4285*i**4/24 + 375*i**3 - 121*i**2 + 2. Factor t(g).
-5*(g + 18)*(g + 25)*(2*g - 1)
Determine z so that 15127*z**2 + 96*z - 15128*z**2 + 8*z - 768 = 0.
8, 96
Let r(d) be the third derivative of 2*d**7/735 + d**6/15 + 7*d**5/15 + 6*d**4/7 + 2*d**2 + 67. Suppose r(k) = 0. Calculate k.
-9, -4, -1, 0
Let h(c) be the third derivative of c**4/12 + 2*c**3/3 - 28*c**2. Let s be h(1). Find n, given that -68*n**3 - s*n**5 + 3*n**5 + 76*n**3 + n**5 = 0.
-2, 0, 2
Suppose 31*b = -60*b + 4 - 4. Let g(d) be the third derivative of 0*d**3 + b + 0*d - 20*d**2 - 1/180*d**5 - 1/36*d**4. Factor g(k).
-k*(k + 2)/3
Let h be 6/(-45) + (14 - -5018*12/720). Determine j, given that -21/2*j**2 - h*j - 27 = 0.
-9, -2/7
What is d in -20 + 4*d**2 - d - 12*d + 49*d - 26*d**2 + 18*d = 0?
5/11, 2
Let q(i) be the second derivative of -i**4/12 - 29*i**3/3 - 56*i**2 - 21*i + 3. Suppose q(x) = 0. What is x?
-56, -2
Let n be (-2 - (-3 - -1)) + 7. Let r = n + -2. Let -4*k**4 + 12*k**2 - 7*k**3 + 0*k + r + 3*k**3 - 13 + 4*k = 0. Calculate k.
-2, -1, 1
Let y = -2/1213437 + 21841876/6067185. Find r, given that 144/5*r + y*r**3 + 3/5*r**4 - 21*r**2 - 12 = 0.
-10, 1, 2
Suppose -50 = y - 6*y - 5*v, 2*y - 5*v = 41. Let q be ((-2)/y + 96/(-52))/(-1). Solve -5*o**2 + q*o + 12*o**2 - 12 - 5*o**2 = 0 for o.
-3, 2
Factor 16*d + 263*d**3 + 273*d**3 + 277*d**3 - 818*d**3 + 40*d**2 - 76*d.
-5*d*(d - 6)*(d - 2)
Factor 129032/3 + 2/3*s**2 - 1016/3*s.
2*(s - 254)**2/3
Suppose 54 = -3*s + 6*s. Solve 7 - c - 25 - 3*c**3 + 0*c**3 - 32*c - s*c**2 = 0 for c.
-3, -2, -1
Let x be ((-550)/165)/(4/(-6)). Factor -x*r**2 + 16 + 15 - 67 - 4 + 45*r.
-5*(r - 8)*(r - 1)
Suppose -5*j + 9*j - 60 = 0. Let y = -162 - -166. Factor -2 - 6 - y + j*a - 6 - 3*a**2.
-3*(a - 3)*(a - 2)
Let k = 30 - 28. Factor 23*f - 74*f - 18*f + k*f**2 + 1058 - 23*f.
2*(f - 23)**2
Suppose 27 - 461 = 132*k - 394*k + 614. Let 2 + q + 1/4*q**k - 3/2*q**2 - 1/4*q**3 = 0. Calculate q.
-2, -1, 2
Let c(n) be the third derivative of n**6/420 - 47*n**5/210 + 20*n**4/3 - 1984*n**3/21 + 6134*n**2. Factor c(s).
2*(s - 31)*(s - 8)**2/7
Let -4520/17 + 2256/17*u + 2/17*u**2 = 0. What is u?
-1130, 2
Factor 148*t**2 - 1750 + 656*t**2 + 28*t**3 + 7695*t + 16*t**2 - 73*t**3.
-5*(t - 25)*(t + 7)*(9*t - 2)
Let d = -776 + 817. Solve -2*z**3 - 8*z - 8*z**2 + d*z**2 - 43*z**2 = 0 for z.
-4, -1, 0
Determine r so that -48*r - 270 + 62/3*r**2 - 4/3*r**3 = 0.
-5/2, 9
Solve -1/2*t**2 - 4583881/2 + 2141*t = 0 for t.
2141
Let l(k) be the second derivative of -k + 169/12*k**4 + 13/10*k**5 + 0*k**3 + 1/30*k**6 + 0*k**2 - 1. Solve l(s) = 0 for s.
-13, 0
Let u(f) be the second derivative of 3*f**5/20 + 11*f**4 + 461*f**3/2 + 1131*f**2 + 10735*f. Suppose u(h) = 0. What is h?
-29, -13, -2
Let y(x) be the third derivative of x**6/324 - x**5/45 + x**4/27 + 41*x**3/2 - 117*x**2. Let k(w) be the first derivative of y(w). What is d in k(d) = 0?
2/5, 2
Let p be (4774/(-2232) - (1 - 3))/(3/(-48)). Factor 2/3*l + p - 2/9*l**2.
-2*(l - 5)*(l + 2)/9
Solve 2/13*l**2 - 98/13*l + 96/13 = 0.
1, 48
Let h = -228947 - -228947. Find f such that -2/25*f**5 + 18/25*f**4 - 48/25*f**3 + 32/25*f**2 + h + 0*f = 0.
0, 1, 4
Let i(c) be the third derivative of c**6/900 - 73*c**5/50 + 1804*c**4/3 - 107584*c**3/45 + 497*c**2. Factor i(g).
2*(g - 328)**2*(g - 1)/15
Factor -127/3*b**2 + 0 + 19/2*b**3 - 52*b - 1/6*b**4.
-b*(b - 52)*(b - 6)*(b + 1)/6
Let a = -1/1078 - -289/21021. Let b(v) be the second derivative of 16*v + 0*v**2 + 0 - a*v**4 - 4/39*v**3. Factor b(k).
-2*k*(k + 4)/13
Suppose -4*l + 13 = -3*x, -54*l + 51*l = -5*x - 7. Factor -12*v**2 - 3*v**3 + 1 - 1 + 43739*v**4 + 3*v**5 - 43727*v**l.
3*v**2*(v - 1)*(v + 1)*(v + 4)
Let k be (16422/442 + -37)*26/6. What is x in k*x**2 - 4/3*x - 2 = 0?
-1, 3
Let k(m) be the third derivative of -m**5/300 - 7*m**4/60 - 4*m**3/5 - 623*m**2. Factor k(h).
-(h + 2)*(h + 12)/5
Let q(p) = 3*p + 5. Let n be q(-7). Let x be (4/n)/(30/(-160)). Factor -2/3*r + 2/3*r**3 + 4/3 - x*r**2.
2*(r - 2)*(r - 1)*(r + 1)/3
Let j(o) be the third derivative of o**7/210 - o**6/40 - o**5/15 + 2*o**2 - 798. Find s such that j(s) = 0.
-1, 0, 4
Let q(k) be the third derivative of -5/6*k**4 + 1/3*k**5 + 0 + 1/24*k**6 + 2*k**2 + 0*k**3 - 11*k - 1/42*k**7. Determine r so that q(r) = 0.
-2, 0, 1, 2
Factor -6*t + 1/2*t**2 - 13/2.
(t - 13)*(t + 1)/2
Let j(o) be the first derivative of o**5/120 + o**4/24 - o**3/4 - o**2 - 90*o + 88. Let d(h) be the second derivative of j(h). Factor d(y).
(y - 1)*(y + 3)/2
Let k(n) be the second derivative of -1/270*n**5 + 0*n**3 + 0 - 1/27*n**4 + 7/2*n**2 - 8*n. Let w(a) be the first derivative of k(a). Factor w(r).
-2*r*(r + 4)/9
Let h(r) be the third derivative of r**6/72 - 49*r**5/18 - 2545*r**4/72 - 515*r**3/3 + 7*r**2 - 99. Factor h(k).
5*(k - 103)*(k + 2)*(k + 3)/3
Let h(l) = 19*l**2 + 625*l + 11232. Let b(w) = -13*w**2 - 411*w - 7488. Let v(n) = -7*b(n) - 5*h(n). Factor v(g).
-4*(g + 26)*(g + 36)
Factor 985/3*f**3 - 53240/3 + 50820*f + 5*f**4 + 7150*f**2.
5*(f + 22)**3*(3*f - 1)/3
Let s(l) be the first derivative of -49 - 8/15*l**3 + 1/3*l**6 - 4/5*l**4 + 14/25*l**5 + 0*l**2 + 0*l. Determine u, given that s(u) = 0.
-2, -2/5, 0, 1
Suppose -1544*w + 1546*w = 6. Let g(m) be the first derivative of -2/5*m**4 + 0*m + 2/25*m**5 - 19 + 2/3*m**w - 2/5*m**2. Factor g(z).
2*z*(z - 2)*(z - 1)**2/5
Factor 105/2*g + 1/2*g**2 + 202.
(g + 4)*(g + 101)/2
Let k(x) be the first derivative of x**6/48 + 83*x**5/40 + 79*x**4/32 - 247*x**3/24 - 5*x**2 + 41*x/2 - 897. Suppose k(v) = 0. Calculate v.
-82, -2, -1, 1
Suppose 497*m = 504*m - 1029. Let t be m/(-21) - 27/(-3). What is d in 4/5*d**t + 0 - 16/5*d**4 + 2/5*d**3 + 0*d + 2*d**5 = 0?
-2/5, 0, 1
Suppose -4*i = g - 3*g - 74, 0 = 4*i + 2*g - 62. Suppose -i*c + 18*c = 118. Let -118*l - l**5 + c*l - l**4 = 0. What is l?
-1, 0
Let i = -1713 + 30835/18. Let y(x) be the second derivative of -1/90*x**5 + i*x**4 - 2/27*x**3 + 7*x + 0 + 0*x**2. Factor y(f).
-2*f*(f - 2)*(f - 1)/9
Let y be (4185/(-186))/((-35)/(-28)*-6 - -6). What i