actor m(y).
(y - 3)**3*(y + 1)/6
Let l(n) be the third derivative of -n**8/1344 + n**7/280 - n**6/160 + n**5/240 + 582*n**2 - 1. Factor l(v).
-v**2*(v - 1)**3/4
Determine l, given that -80/7*l + 2/21*l**3 + 74/21*l**2 + 0 = 0.
-40, 0, 3
Find s such that -6850 - 5486*s - 276*s - 372 + 5*s**2 - 2518*s - 1063 = 0.
-1, 1657
Solve -1/4*x**3 + 21/8 + 5/4*x - 13/8*x**2 = 0.
-7, -1, 3/2
Let s(j) = j**2 - j. Let n = -388 - -389. Let k(p) = 20*p**2 + 7. Let h(i) = -13*i**2 - 5. Let l(y) = 7*h(y) + 5*k(y). Let m(q) = n*l(q) - 2*s(q). Factor m(u).
u*(7*u + 2)
Let a(t) = 14*t**2 + 1374*t + 198. Let b be a(-98). Let r(v) be the first derivative of -18 - 4*v - 4/3*v**3 - 5*v**b. Factor r(q).
-2*(q + 2)*(2*q + 1)
What is x in -54/7*x + 6/7*x**3 - 18/7*x**2 + 162/7 = 0?
-3, 3
Let p(w) = 10*w**3 - 5*w**2 + 14*w - 10. Let q be p(4). Factor 27 - q*f**2 - f + 603*f**2 + 25*f.
-3*(f - 9)*(f + 1)
Let p(q) be the third derivative of q**8/224 - 3*q**7/140 - 9*q**6/20 - 4*q**5/5 - 4*q**2 + 7. What is d in p(d) = 0?
-4, -1, 0, 8
Factor -9/4*t**4 - 300*t**3 + 0*t + 201*t**2 + 0.
-3*t**2*(t + 134)*(3*t - 2)/4
Let a = 265 + -259. Suppose a*j**2 - 1171*j**3 - 34*j**2 + 1175*j**3 = 0. Calculate j.
0, 7
Let o = 673/603 + -1/201. Let k(z) = -10*z - 40. Let l be k(-4). Factor 0*p**2 + 4/9*p**3 + o*p**4 + 0 + l*p + 2/3*p**5.
2*p**3*(p + 1)*(3*p + 2)/9
Factor -148*o + 14*o**2 + 11*o**3 - 12*o**3 + 135*o.
-o*(o - 13)*(o - 1)
Let n(h) be the third derivative of -h**8/1512 - 26*h**7/945 - 43*h**6/180 - 92*h**5/135 - 20*h**4/27 + 2024*h**2. Find y, given that n(y) = 0.
-20, -4, -1, 0
Let a(w) be the first derivative of -w**5/5 + 5*w**4/3 + 4*w**3 - 67*w + 68. Let l(p) be the first derivative of a(p). Factor l(m).
-4*m*(m - 6)*(m + 1)
Let s(m) be the second derivative of 3*m**2 - 2*m + 17/6*m**3 - 5 - 9/8*m**4 + 7/80*m**5. Factor s(o).
(o - 6)*(o - 2)*(7*o + 2)/4
Let c = -29051/3 + 9707. Let t(f) be the first derivative of -20*f**4 + 60*f**2 + c*f**3 - 45*f + 3*f**5 - 36. Factor t(u).
5*(u - 3)**2*(u + 1)*(3*u - 1)
Solve 47369 - 23682 - 23683 - 33*l - 17*l + 24*l**2 = 0.
1/12, 2
Let x(b) be the first derivative of -b**3/3 - 6*b**2 - 35*b - 1136. Find d, given that x(d) = 0.
-7, -5
Let j be 4*4/160*6. Suppose 31*n - 26*n - 27 + 7 = 0. Factor 0 + 0*g + j*g**n + 9/5*g**3 + 6/5*g**2.
3*g**2*(g + 1)*(g + 2)/5
Let t(o) be the second derivative of o**8/5040 + 2*o**7/189 - o**6/540 - 2*o**5/9 - 221*o**4/12 + o - 63. Let c(p) be the third derivative of t(p). Factor c(g).
4*(g - 1)*(g + 1)*(g + 20)/3
Let o(s) be the third derivative of -s**6/150 - 1781*s**5/75 - 79388*s**4/3 - 316840*s**3/3 - 1149*s**2. Suppose o(g) = 0. Calculate g.
-890, -1
Let o be 40287/33 + ((-62)/22 - -3). Suppose o*a = 1224*a. Let 0*x + 1/3*x**4 - 2/3*x**3 + a + 1/3*x**2 = 0. What is x?
0, 1
Let a = 18598 - 201646/11. Let t = -266 + a. Find s such that t*s - 1/11*s**2 - 9/11 = 0.
3
Solve -21/2*s**5 + 177*s**2 - 279/2*s**3 + 60*s - 87*s**4 + 0 = 0 for s.
-5, -4, -2/7, 0, 1
Let l(j) be the third derivative of j**6/320 - 67*j**5/16 + 112225*j**4/64 + 1322*j**2. Let l(i) = 0. What is i?
0, 335
Let m be -71 + 0 - (5 - -1 - 10). Let w = m - -136. Factor -20*y - 33 - 4*y**2 - 36 + w.
-4*y*(y + 5)
Let p(o) be the third derivative of -3*o**8/560 + o**7/40 - o**6/24 + o**5/40 + 29*o**3/6 - 18*o**2 - 3. Let c(x) be the first derivative of p(x). Factor c(y).
-3*y*(y - 1)**2*(3*y - 1)
Suppose 5*c + 3*t = -0*t - 11, 5*t + 10 = 0. Let n(v) = -v**2 - v - 1. Let o(j) = -6*j - 6. Let z(h) = c*o(h) - 2*n(h). Suppose z(r) = 0. What is r?
-2
Factor -2*w - 43*w**4 - 88*w**3 + 39855*w**2 + 39869*w**2 - 79771*w**2.
-w*(w + 1)**2*(43*w + 2)
Let -56*k**3 + 209*k**5 - 410*k**5 - 272*k**2 + 512*k + 183*k**5 + 84*k**4 - 256 = 0. What is k?
-2, 4/3, 2
Let v = -39 - -47. Suppose 0 = -u + 5*u - v. Factor -5*m + m**u - 3 - 2*m + 2*m - 3.
(m - 6)*(m + 1)
Let g be 0/(1 - (0 - -9))*(-18)/72. Factor 10/13*s**5 - 6/13*s**4 + 0 + 0*s + g*s**2 - 4/13*s**3.
2*s**3*(s - 1)*(5*s + 2)/13
Let f = -1/490465 + 24032788/1471395. Let -13/3*u**2 + f + 35/3*u + 1/3*u**3 = 0. What is u?
-1, 7
Let z be (-5)/(-20)*8/2. Suppose 5*h + 5 = 5*q, q = -4*h + 4*q - z. Factor y**5 + y**5 + 10*y**3 + 4*y**h + 0*y**2 + 8*y**4.
2*y**2*(y + 1)**2*(y + 2)
Let q(f) = 94*f - 843. Let k be q(9). Let i be k + (-50)/6 + 6. Factor -1 + 1/3*j**2 + i*j.
(j - 1)*(j + 3)/3
Suppose 990 + 610 + 5536*r + 99369*r**3 + 2916*r**2 + 3872*r**2 - 2112*r**2 - 99565*r**3 = 0. Calculate r.
-4/7, 25
Let x(f) be the second derivative of -f**4/3 - 37*f**3/6 - 5*f**2/2 - 67*f. Let s be x(-9). Factor -8*r**3 + 0 - 2/3*r**5 + s*r**4 - 2*r + 20/3*r**2.
-2*r*(r - 3)*(r - 1)**3/3
Suppose -979*h + 978*h = 6. Let i be (2/h)/(1/(-6)). Factor -v + 1/2*v**i - 2 + 1/4*v**3.
(v - 2)*(v + 2)**2/4
Let p be -11*(-30)/5*1. Factor -8*v - 4*v**4 + 2*v**5 - 3*v**2 + p*v**3 - 72*v**3 + 19*v**2.
2*v*(v - 2)*(v - 1)**2*(v + 2)
Let s = -3 + 5. Let c be ((-56)/36)/(140/(-120)). Find m such that 16/3*m**3 - 16/3*m**s + 0*m + 0 - c*m**4 = 0.
0, 2
Factor -15/2*y**2 + 117/4*y + 0 - 3/4*y**3.
-3*y*(y - 3)*(y + 13)/4
Let y = 127/15 - -1/5. Let q = y + -101/12. Suppose -1/2*d - 1/4*d**2 - q = 0. Calculate d.
-1
Suppose 44 = 160*z - 156*z. Suppose l = -z*l + 5*l. Factor l - 11/5*t**2 - 2/5*t - 7/5*t**4 - 16/5*t**3.
-t*(t + 1)**2*(7*t + 2)/5
Let c be ((-12)/30)/(42/(-35)). Let u(n) be the first derivative of 0*n - n**2 + c*n**3 + 7. Factor u(v).
v*(v - 2)
Let n be (-5)/(2*(-4)/32). Suppose -w = 2*g + w - 48, 4*w + n = 0. Factor 10*x**4 - 100*x - 2*x**2 + 40 + 65*x**3 - g*x**2 + x**2 + 15*x**4.
5*(x - 1)*(x + 2)**2*(5*x - 2)
Let s = 111427 + -111425. Factor 17/3*u - 1/3*u**s + 6.
-(u - 18)*(u + 1)/3
Let o = 29 + -86/3. Let l(i) = -i**3 + 8*i**2 + 3349*i - 57. Let k be l(62). Factor 0 + 0*p**3 - 1/3*p + o*p**k - 2/3*p**2 + 2/3*p**4.
p*(p - 1)*(p + 1)**3/3
Let i = 9343/915 + -2/183. Let p(g) be the third derivative of 0*g - 2*g**3 + 31*g**2 + 107/20*g**5 + 3/2*g**4 - i*g**6 + 88/35*g**7 + 0. Solve p(w) = 0 for w.
-2/11, 1/4, 2
Let y be (-171)/(-684) + (-15)/(-4). What is f in 12/13 + 18/13*f**5 + 232/13*f**3 - 2*f - 92/13*f**2 - 144/13*f**y = 0?
-1/3, 1/3, 1, 6
Suppose -5*u = -0*u - 3*f - 681, -2*u + 5*f = -280. Let m = u - 397/3. Suppose -2/3*w - 2*w**5 - 4/3 + 8/3*w**3 + 4*w**2 - m*w**4 = 0. Calculate w.
-1, 2/3, 1
Let v be (2544/8056)/(21/38). Let -6/7*t**3 + 6/7*t + v - 2/7*t**4 - 2/7*t**2 = 0. Calculate t.
-2, -1, 1
Factor 22*d**4 - 74*d**4 + 28464*d**2 + 24*d**4 - 6414*d**2 + 420*d**3 + 30*d**4.
2*d**2*(d + 105)**2
Let u be -4 - -6 - (-4)/((-12)/(-15)). Factor u*l**2 - 5*l**2 + 42*l - 62*l.
2*l*(l - 10)
Let k be 2 + (14/(-6) - 8/(-24)). Suppose 92 - 86 - 3*w**4 + k*w**2 + 9*w**2 - 3*w**3 + 15*w = 0. Calculate w.
-1, 2
Let r be (-72)/396 - (-1)/((-11)/(-310)). Let -5*v**3 + 115 + 56*v**2 + r*v**2 + 48*v**2 + 225*v - 27*v**2 = 0. Calculate v.
-1, 23
Let k(s) be the second derivative of -21125/2*s**2 - 325/3*s**3 + 0 - 5/12*s**4 - 64*s. Factor k(y).
-5*(y + 65)**2
Let f(a) = -a**2 - a + 1. Let y(x) = 4*x**2 + 6*x - 1. Suppose l + 4*z + 7 = 0, 4*l + 7 = -2*z - 7. Let u(i) = l*f(i) - y(i). Factor u(p).
-(p + 1)*(p + 2)
Let z(g) be the first derivative of -g**6/6 + 62*g**5/5 + 3*g**4/4 - 184*g**3/3 - 62*g**2 + 3697. Solve z(w) = 0 for w.
-1, 0, 2, 62
Suppose 0 = 4*j - 5*g - 111, -3*j + 8*j + 3*g = 185. Suppose -3*l = 0, -4*r + j*l - 38*l = -8. Solve -12/5 + 3/5*x**r + 3/5*x**3 - 12/5*x = 0.
-2, -1, 2
Let t be 6 - 1 - (12/27 - (-1679)/657). Factor -1/4*a**t + 0 - 1/4*a.
-a*(a + 1)/4
Suppose -184*a = 53*a - 766 - 182. Factor -7/4*g**2 - 2*g**3 - 3/4*g**a - 1/2*g + 0.
-g*(g + 1)**2*(3*g + 2)/4
Let w(m) be the third derivative of m**8/168 + m**7/70 - 13*m**6/120 - 11*m**5/20 - 25*m**4/24 - m**3 - 1776*m**2. Solve w(a) = 0.
-2, -1, -1/2, 3
Suppose -1049*s + 44*s**2 - 295*s - 16*s**2 - 17*s**2 - 8*s**2 = 0. What is s?
0, 448
Let l be (((-15)/14)/(-3))/(414855/193599). Factor 0 + l*a**3 + 19/6*a**2 + 0*a.
a**2*(a + 19)/6
Let z(x) = x**3 + 51*x**2 + 217*x + 3507. Let p be z(-48). Find i, given that -2/3 + 2/3*i - 2/3*i**4 + 4/3*i**2 + 2/3*i**5 - 4/3*i**p = 0.
-1, 1
Let s = 416/875 + 24256/7875. What is a in 16/9*a - s - 2/9*a**2 = 0?
4
Let u(w) be the second derivative of w**7/630 + w**6/10 + 27*w**5/10 - 29*w**4/12 - w**2/2 - 37*w. Let d(a) be the t