*(y - 6)*(y + 2)*(y + 4)
Let d be (1 + 7/(-2))/(2/(-2028)). Let n be -6*13/(d/(-10)). Let 2/13*p**2 + 0 + 0*p + 2/13*p**4 + n*p**3 = 0. What is p?
-1, 0
Let x(n) = -20*n - 24. Let d be x(-2). Solve -8*t - t**4 - 247*t**2 + 254*t**2 - 6 + t**3 - 9*t + d*t = 0.
-2, -1, 1, 3
Let l(f) be the third derivative of 0*f**4 + 0*f**3 - 9 + 0*f + 1/18*f**5 + f**2 + 1/360*f**6. Find p, given that l(p) = 0.
-10, 0
Suppose 6*a = 11*a - 360. Suppose 0*y - 6*y = -a. Determine j, given that 19*j**2 - 9*j**2 + 2*j - y*j**2 + 2*j - 2*j**3 = 0.
-2, 0, 1
Factor -7112 + 57*n**2 + 7145 - 6*n**3 + 2*n**3 - 146*n.
-(n - 11)*(n - 3)*(4*n - 1)
Factor 200978/11 + 1268/11*x + 2/11*x**2.
2*(x + 317)**2/11
Let k(v) be the first derivative of -228 - 1/5*v**3 + 0*v + 9/5*v**2. Factor k(s).
-3*s*(s - 6)/5
Let v(j) be the third derivative of -j**7/2415 + 61*j**6/115 - 8979*j**5/46 + 133225*j**4/138 + 74*j**2 + 4*j. Suppose v(c) = 0. Calculate c.
0, 2, 365
Let k(s) be the first derivative of 2*s**5/25 + s**4/10 - 16*s**3/15 - 12*s**2/5 - 312. Factor k(m).
2*m*(m - 3)*(m + 2)**2/5
Let k(v) be the first derivative of v**5/5 - 320*v**4 + 410878*v**3/3 - 408960*v**2 + 408321*v - 585. Factor k(n).
(n - 639)**2*(n - 1)**2
Suppose 2*m**5 - 64*m**2 + 1137*m - 384 + 40*m**4 - 601*m - 4*m**5 - 126*m**3 = 0. What is m?
-2, 1, 2, 3, 16
Let u be (17/(-34))/((-2)/2868). Suppose s = -u + 722. Factor -2/3 - 2/3*k**4 - 4/3*k**3 + 2/3*k**s + 2/3*k + 4/3*k**2.
2*(k - 1)**3*(k + 1)**2/3
Let y be (1 - 232/20)*30/(-588). Let m = -2/49 + y. Factor b**2 + 3/2*b + m.
(b + 1)*(2*b + 1)/2
Let c(o) be the third derivative of o**6/120 - 139*o**5/60 - 47*o**4/4 - o**2 - 4*o - 93. Factor c(u).
u*(u - 141)*(u + 2)
Let o be (5/6)/(22/(-12) + 2). Factor 75*h + o*h**5 - 1084*h**4 + 2147*h**4 - 1093*h**4 - 80*h**3 - 10*h**2 + 40.
5*(h - 8)*(h - 1)*(h + 1)**3
Suppose 10 = 210*q - 208*q. Suppose -2*l - 4 = 2*c, 2 = -2*c - 6*l + q*l. Factor -3/2*x + c + 0*x**2 + 3/2*x**3.
3*x*(x - 1)*(x + 1)/2
Let g(n) be the third derivative of n**6/8 + 3*n**5/8 + 5*n**4/12 + 14*n**3 - 279*n**2. Let a(d) be the first derivative of g(d). Factor a(l).
5*(3*l + 1)*(3*l + 2)
Let c = -246377 - -246380. Find z such that -40/11*z**c - 126/11*z - 36/11 - 140/11*z**2 + 6/11*z**5 + 16/11*z**4 = 0.
-3, -1, -2/3, 3
Let j(i) be the first derivative of -i**3/6 + 355*i**2/2 - 126025*i/2 + 2368. Solve j(k) = 0 for k.
355
Let c(l) be the second derivative of l**6/8 + 501*l**5/160 - 51*l**4/32 + 6403*l. Factor c(v).
3*v**2*(v + 17)*(10*v - 3)/8
Let v be (3 - (3 - 18)/(-15))*(-2)/(-32). Find t, given that 11/2 - 5/2*t - v*t**2 = 0.
-22, 2
Let g(o) = -5*o**3 - o**2 - 14*o - 13. Let a be g(-1). Let l(r) be the first derivative of 0*r - 1/9*r**3 + 0*r**2 - 1/15*r**a + 1/6*r**4 + 2. Factor l(j).
-j**2*(j - 1)**2/3
Let s = 827 - 812. Let l be ((-16)/s)/((-30)/(-75)) - -4. Factor -l*z + 1/3*z**4 + 0 + 1/3*z**3 - 4/3*z**2.
z*(z - 2)*(z + 1)*(z + 2)/3
Let h = 307846214 - 2346711684980/7623. Let f = h + 2/1089. Suppose -10/7*b + 4/7*b**2 + 10/7*b**3 - f = 0. What is b?
-1, -2/5, 1
Let i(b) be the first derivative of 3*b**4/8 - 35*b**3/2 - 213*b**2/2 + 1596*b - 239. Factor i(g).
3*(g - 38)*(g - 4)*(g + 7)/2
Suppose 1195*d - 1181*d + 616 = 0. Let y be 1 + 5 - 0 - d/(-11). Let -y*i**2 + 5/2 - 19/2*i = 0. What is i?
-5, 1/4
Let j be (-351)/5 + (-8)/(-40). Let a be ((-30)/j)/(18/84). What is i in 0 + 27/5*i**a - 6/5*i = 0?
0, 2/9
Let k(y) be the first derivative of 0*y + 228 - 2/3*y**2 - 10/3*y**3 - 13/6*y**4. Factor k(r).
-2*r*(r + 1)*(13*r + 2)/3
Let x be (3 - -2)/((25/10)/(-5)). Let r be x/(-4) - 2/4. Suppose -3 + 37*n + 25*n**r - 7 + 22*n - 14*n = 0. What is n?
-2, 1/5
Let q = 1435082794/1226267 - 6/175181. Factor -1536/7*r**2 + 0 + q*r + 96/7*r**3 - 2/7*r**4.
-2*r*(r - 16)**3/7
Suppose -3*s + 4*h = 36, -705*s + 7*h = -704*s + 63. Factor -6/7*u**3 + s - 10/7*u + 32/7*u**2.
-2*u*(u - 5)*(3*u - 1)/7
Let d = 3418/45 - 6701/90. Factor -d*g**4 + 7/2*g**3 - 1/2 + 9/4*g - 4*g**2 + 1/4*g**5.
(g - 2)*(g - 1)**4/4
Let h(n) = n**2 + 26*n + 27. Let f be h(-25). Let 0 + 0 + 0*u**2 + 6*u**f - u**2 + 325*u = 0. What is u?
-65, 0
Suppose -258*j + 252*j = -4152. Let v = j + -692. Solve -4/7*f**2 + 0*f + 0*f**4 + v - 6/7*f**3 + 2/7*f**5 = 0 for f.
-1, 0, 2
Let o(l) be the third derivative of -14/3*l**3 + 6*l**2 - 1/60*l**6 - 23/12*l**4 + 0*l - 1/3*l**5 + 2. Factor o(c).
-2*(c + 1)*(c + 2)*(c + 7)
Suppose 0 = r - 3*i + 4, 57*r - 55*r - 12 = -4*i. Suppose -2 - 12 = -u + 3*g, r*u + 3*g = -8. Factor -6 + 15/2*t - 3/2*t**u.
-3*(t - 4)*(t - 1)/2
Let t(l) be the first derivative of -23 - 1/15*l**5 - 8*l**2 + 0*l**3 - 1/6*l**4 + 0*l. Let s(d) be the second derivative of t(d). Find g, given that s(g) = 0.
-1, 0
Factor -2268*n + 20*n**2 - 8*n**3 + 2272*n - 3 - 21.
-4*(n - 2)*(n + 1)*(2*n - 3)
Let u be 32383/(-4277) - (1/((-3)/(-12)) - 12). Factor 6*w + u*w**4 + 87/7*w**2 + 0 + 48/7*w**3.
3*w*(w + 1)**2*(w + 14)/7
Find z such that -5/3*z**3 + 8 - 17/3*z**2 - 2/3*z = 0.
-12/5, -2, 1
Suppose -3*n = -4*k - 72, 9*n = 4*n - 20. Let z be 3*(-12)/21*k/18. Factor -3/2*l**4 - 3/2 + 0*l**3 + 0*l + 3*l**z.
-3*(l - 1)**2*(l + 1)**2/2
Let t be 15*-2 + -7 + 2 - -5. Let h be ((-1)/(-5)*(29 + t))/(-1). Suppose 0*z + 2*z**5 + 3/5*z**4 + 0 - 6/5*z**3 + h*z**2 = 0. Calculate z.
-1, 0, 1/5, 1/2
Factor -1/4*q**2 + 18 + 3/2*q.
-(q - 12)*(q + 6)/4
Let u(v) be the second derivative of 22/21*v**3 - 40/7*v**2 - 1/42*v**4 - 3 - 5*v. Factor u(y).
-2*(y - 20)*(y - 2)/7
Let d be (19 - 6)/(-13) + 5. Let r be ((-27)/(-10))/3*35/21. Factor 3/2*t**2 - 3*t**3 + 3*t + 0 - r*t**d.
-3*t*(t - 1)*(t + 1)*(t + 2)/2
Let n = 367950 + -367946. Find k, given that -1/4*k**3 + 0*k**2 - n*k**5 + 2*k**4 + 0*k + 0 = 0.
0, 1/4
Suppose -250*k + 126*k = -118*k - 1285*k. What is o in k + 4/5*o + 4/5*o**2 + 1/5*o**3 = 0?
-2, 0
Suppose 2*j - 45 = -3*j - n, -3*j + 2*n + 40 = 0. Let w = j - 8. Factor -14/11*o + 6/11 + 8/11*o**w.
2*(o - 1)*(4*o - 3)/11
Suppose o - 4*k - 9 = 0, 0*o - 4*o + 15 = 5*k. Solve 3*p**o + 105*p**2 - 15*p**3 - 6*p**5 - 111*p**2 - 12*p**4 = 0 for p.
-2, -1, 0
Let x = 4607/8847 - 75/983. Let l be -2 - 2/(-1) - -3. Factor -2/9*q**l + 0 - 2/9*q - x*q**2.
-2*q*(q + 1)**2/9
Let l = -289 + 290. Determine j, given that 137*j - 3*j**2 - 131*j - l - 2*j**2 = 0.
1/5, 1
Let z be (2/(-6))/((-82110)/28980). Factor 1176/17*c + z*c**3 - 84/17*c**2 - 5488/17.
2*(c - 14)**3/17
Let z(o) = 3887*o**2 - 44*o + 43. Let h be z(1). Suppose 0 = -3883*d + h*d - 6. Find s such that -s**d - 2/3*s**3 + 2 + 5/3*s = 0.
-2, -1, 3/2
Let p(s) be the third derivative of -s**8/1008 + 2*s**7/315 - s**6/120 - 183*s**2. Factor p(j).
-j**3*(j - 3)*(j - 1)/3
Let m(q) be the first derivative of 208 + 10*q**2 - 2/3*q**3 - 32*q. What is s in m(s) = 0?
2, 8
Let x = 5/1792 - -19/16128. Let s(p) be the second derivative of 1/24*p**5 - 1/45*p**6 + 0*p**2 - p + 0 - 1/36*p**4 + 0*p**3 + x*p**7. Factor s(q).
q**2*(q - 2)*(q - 1)**2/6
Let u be (-54)/(-10) + 8 + (-378)/45. Factor 4*n**u - 2*n**2 - 44*n**3 - 28*n**4 + 152*n + 46*n**2 + 32*n**2 + 64.
4*(n - 8)*(n - 2)*(n + 1)**3
Determine i, given that -1020*i**3 + 436*i + 1005*i**2 + 162*i + 685567*i**4 - 685562*i**4 + 1432*i = 0.
-1, 0, 2, 203
Let y be -12 - (18 + -39) - 6. Suppose -4/5*b**y - 6/5 + 4/5*b - 2/5*b**4 + 8/5*b**2 = 0. Calculate b.
-3, -1, 1
Let v(z) = z**2 + 36*z + 106. Let r be v(-33). Factor -9*m + 18*m**2 + 4*m + r*m**2.
5*m*(5*m - 1)
Let n = -690 + 687. Let k be n - ((-175)/28 + (-3)/4). Let -18/5*o**2 - 26/5*o**3 - 9/5*o**k + 27/5*o + 27/5 - 1/5*o**5 = 0. Calculate o.
-3, -1, 1
Let d(b) = -9*b**2 - 220*b - 651. Let y be d(-21). Factor 1/3*f**4 + 0*f**2 + 0 + 3*f**3 + y*f.
f**3*(f + 9)/3
Let v be (-9 + (-1 - (17 + -27)))/1. Let o be 2/4*(-16)/(-14). Find m, given that v - 8/7*m - o*m**2 = 0.
-2, 0
Let l(p) = -3*p**2 + p**2 + p - p**3 - 4*p**3 + 3*p**2. Let k be l(-1). Solve -a**4 + 0*a**4 + 21*a - 24*a**2 - 20*a**3 - k*a + 32 - 3*a**4 = 0.
-2, 1
Factor 2/7*v**2 - 96/7*v + 0.
2*v*(v - 48)/7
Let k(r) = r**2 + r - 1. Let b = -9 - -24. Suppose -g - b = 3. Let x(n) = -3*n**3 - 30*n**2 - 30*n + 18. Let o(t) = g*k(t) - x(t). Suppose o(l) = 0. What is l?
-2, 0
Let d be (-4)/54 - (-24320)/1728. Suppose -46 = -d*b - 18. Factor 3/2 - 3/4*v - 3/4*v**b.
-3*(v - 1)*(v + 2)/4
What is z in 4/9*z**4 + 10 + 214/9*z**2 + 83