/6
Find i such that 3*i**3 - 27*i**2 - 435*i + 2475 = 0.
-11, 5, 15
Factor 2*v**2 + 104*v - 106.
2*(v - 1)*(v + 53)
What is r in -4*r**5 + 8*r**4 + 24*r**3 - 32*r**2 - 20*r + 24 = 0?
-2, -1, 1, 3
Solve 3*z**5 + 3*z**4 - 54*z**3 - 156*z**2 - 120*z = 0 for z.
-2, 0, 5
Find o such that 2*o**4/5 + 142*o**3/5 + 138*o**2/5 - 142*o/5 - 28 = 0.
-70, -1, 1
What is l in -30*l**4/13 - 64*l**3/13 - 8*l**2/13 = 0?
-2, -2/15, 0
Factor 3*w**2/2 + 1806*w + 543606.
3*(w + 602)**2/2
Determine f so that -5*f**5 - 10*f**4 + 35*f**3 - 20*f**2 = 0.
-4, 0, 1
Factor -2*t**3/15 + 2*t**2 - 64*t/15 - 88/5.
-2*(t - 11)*(t - 6)*(t + 2)/15
Factor 4*h**3/7 - 144*h**2/7 + 960*h/7 + 6400/7.
4*(h - 20)**2*(h + 4)/7
Determine p so that -3*p**3/4 + 33*p**2/2 - 45*p/4 - 189/2 = 0.
-2, 3, 21
Solve 2*v**3 + 140*v**2 - 2*v - 140 = 0 for v.
-70, -1, 1
Factor 10*z**3 - 1936*z**2 + 10504*z + 4512.
2*(z - 188)*(z - 6)*(5*z + 2)
Factor 2*a**4/5 - 22*a**3/5 + 66*a**2/5 - 18*a/5 - 108/5.
2*(a - 6)*(a - 3)**2*(a + 1)/5
Find s, given that -s**3/5 - 6*s**2/5 + 5*s - 18/5 = 0.
-9, 1, 2
Determine u so that 3*u**2/5 + 39*u - 198/5 = 0.
-66, 1
Find m such that -4*m**4/5 + 132*m**3/5 + 432*m**2/5 + 16*m/5 - 576/5 = 0.
-2, 1, 36
What is v in -5*v**3/2 + 33*v**2/2 - 20*v = 0?
0, 8/5, 5
Suppose -4*d**5 - 96*d**4 - 476*d**3 - 816*d**2 - 432*d = 0. Calculate d.
-18, -3, -2, -1, 0
Suppose 6*u**4 + 490*u**3/3 + 480*u**2 + 1160*u/3 + 64 = 0. What is u?
-24, -2, -1, -2/9
Factor -4*x**5 - 128*x**4 - 1336*x**3 - 4992*x**2 - 6084*x.
-4*x*(x + 3)**2*(x + 13)**2
Let 4*n**5 + 104*n**4 - 456*n**3 + 704*n**2 - 476*n + 120 = 0. What is n?
-30, 1
Factor -4*g**2/3 + 376*g/3 - 8836/3.
-4*(g - 47)**2/3
Factor 2*y**3/11 - 8*y**2/11 - 58*y/11 - 48/11.
2*(y - 8)*(y + 1)*(y + 3)/11
Factor -x**4 + 21*x**3 + 70*x**2 + 48*x.
-x*(x - 24)*(x + 1)*(x + 2)
What is n in -n**3/6 + 1459*n**2/2 - 2128681*n/2 + 3105745579/6 = 0?
1459
Factor 2*t**2 - 3112*t - 3114.
2*(t - 1557)*(t + 1)
Solve 9*b**5 - 81*b**4 + 119*b**3 + 65*b**2 - 116*b + 28 = 0 for b.
-1, 1/3, 2/3, 2, 7
Suppose 14*y**2 + 15*y/2 + 1 = 0. Calculate y.
-2/7, -1/4
Factor -2*g**2/13 - 9456*g/13 - 11176992/13.
-2*(g + 2364)**2/13
Find z, given that 3*z**5/4 + 6*z**4 + 51*z**3/4 - 21*z**2/2 - 63*z - 54 = 0.
-3, -2, 2
Find i, given that -3*i**4/5 + 36*i**3/5 - 12*i**2 = 0.
0, 2, 10
Factor 3*y**4 + 9*y**3 - 462*y**2.
3*y**2*(y - 11)*(y + 14)
Factor -5*r**5 - 985*r**4 - 77510*r**3 - 3045470*r**2 - 59750005*r - 468286985.
-5*(r + 37)**3*(r + 43)**2
Factor -5*p**2 - 850*p - 36125.
-5*(p + 85)**2
Suppose q**5/5 + q**4/5 - q**3/5 - q**2/5 = 0. What is q?
-1, 0, 1
What is w in 2*w**5 + 16*w**4 - 18*w**3 = 0?
-9, 0, 1
Factor 262*b**2 + 264*b + 2.
2*(b + 1)*(131*b + 1)
Factor c**5 + 18*c**4 + 122*c**3 + 380*c**2 + 525*c + 250.
(c + 1)*(c + 2)*(c + 5)**3
Determine c, given that 3*c**4/4 - 3*c**3/2 + 3*c**2/4 = 0.
0, 1
Let 2*l**3/5 - 56*l**2/5 + 282*l/5 - 396/5 = 0. Calculate l.
3, 22
Solve 14*j**3/15 + 4*j**2/15 - 16*j/5 = 0.
-2, 0, 12/7
Determine h, given that -3*h**2/2 + 897*h/2 = 0.
0, 299
Determine f, given that -f**3 + 448*f**2 = 0.
0, 448
Factor 3*s**4 - 18*s**3 - 24*s**2 + 18*s + 21.
3*(s - 7)*(s - 1)*(s + 1)**2
Factor -n**3/4 + 15*n**2/2 - 239*n/4 + 105/2.
-(n - 15)*(n - 14)*(n - 1)/4
Solve u**2/4 - 59*u/4 - 195/2 = 0.
-6, 65
Determine f, given that 3*f**4/4 - 165*f**3/2 - 357*f**2/4 + 657*f + 999 = 0.
-2, 3, 111
Factor 2*x**3/17 - 1170*x**2/17 + 170526*x/17 + 171698/17.
2*(x - 293)**2*(x + 1)/17
Solve 2*a**4/17 - 14*a**3/17 - 44*a**2/17 + 56*a/17 + 144/17 = 0.
-2, 2, 9
Factor r**2 + 192*r + 752.
(r + 4)*(r + 188)
Determine i so that -9*i**4/4 - 415*i**3/2 + 2417*i**2/4 + 1999*i/2 + 190 = 0.
-95, -1, -2/9, 4
Solve 2*i**2/3 + 20*i/3 + 6 = 0.
-9, -1
Factor 27*y**4 + 114*y**3 + 24*y**2.
3*y**2*(y + 4)*(9*y + 2)
Factor -5*u**2 - 1200*u + 2420.
-5*(u - 2)*(u + 242)
What is s in s**2 - 175*s + 516 = 0?
3, 172
Factor -c**2/5 - 4207*c/5 + 4208/5.
-(c - 1)*(c + 4208)/5
Find o, given that 10*o**4 - 114*o**3 + 424*o**2 - 552*o + 160 = 0.
2/5, 2, 4, 5
Suppose 3*j**4/4 - 165*j**3/4 + 2349*j**2/4 - 2187*j/4 = 0. Calculate j.
0, 1, 27
What is u in u**5 - 7*u**4 + 7*u**3 + 19*u**2 - 16*u - 20 = 0?
-1, 2, 5
Determine c, given that -c**3/4 - 5*c**2 + c/4 + 5 = 0.
-20, -1, 1
Factor 2*m**2 - 2*m - 112.
2*(m - 8)*(m + 7)
Determine f so that 64*f**3 - 6368*f**2 + 27684*f - 30780 = 0.
9/4, 95
Factor -2*x**2/9 + 16*x/9 + 32/3.
-2*(x - 12)*(x + 4)/9
Factor -2*h**3/5 + 216*h**2/5 + 888*h/5 + 896/5.
-2*(h - 112)*(h + 2)**2/5
Let -5*m**4 - 80*m**3 - 70*m**2 + 80*m + 75 = 0. Calculate m.
-15, -1, 1
Factor -2*n**3 - 20*n**2.
-2*n**2*(n + 10)
Factor 3*g**3/7 - 10911*g**2/7 + 1418040*g - 9915372/7.
3*(g - 1818)**2*(g - 1)/7
Find q, given that q**5/4 - q**4 - q**3/4 + q**2 = 0.
-1, 0, 1, 4
Factor -27*c**3 - 60*c**2 - 39*c - 6.
-3*(c + 1)**2*(9*c + 2)
Find s such that 28*s**3 + 156*s**2 + 260*s + 132 = 0.
-3, -11/7, -1
Factor 2*a**2 - 342*a - 344.
2*(a - 172)*(a + 1)
Suppose 104*i**2 - 124*i = 0. What is i?
0, 31/26
Factor -4*m**4 + 8*m**3 + 4*m**2 - 8*m.
-4*m*(m - 2)*(m - 1)*(m + 1)
Determine q so that 2*q**5/5 - 4*q**4/3 + 4*q**3/5 + 16*q**2/15 - 6*q/5 + 4/15 = 0.
-1, 1/3, 1, 2
Solve -3*n**5/5 - 573*n**4/5 + 3513*n**3/5 - 6483*n**2/5 + 3546*n/5 = 0 for n.
-197, 0, 1, 2, 3
Find n, given that 4*n**3/5 - 12*n**2/5 + 8*n/5 = 0.
0, 1, 2
Let 2*s**5/25 + 8*s**4/25 - 22*s**3/25 + 12*s**2/25 = 0. Calculate s.
-6, 0, 1
Factor 5*h**3 + 15*h**2 - 80*h + 60.
5*(h - 2)*(h - 1)*(h + 6)
Determine h so that 4*h**2 - 224*h + 432 = 0.
2, 54
Factor -4*z**2 + 84*z - 80.
-4*(z - 20)*(z - 1)
Let -5*v**2 + 7910*v - 3128405 = 0. Calculate v.
791
Factor -y**2/7 - 48*y/7.
-y*(y + 48)/7
Determine f, given that 2*f**5 + 42*f**4 + 74*f**3 - 42*f**2 - 76*f = 0.
-19, -2, -1, 0, 1
What is r in -2*r**5/17 + 22*r**4/17 + 84*r**3/17 + 8*r**2/17 - 112*r/17 = 0?
-2, 0, 1, 14
Suppose b**2 - 38*b - 168 = 0. Calculate b.
-4, 42
Factor -4*a**2 + 204*a - 1080.
-4*(a - 45)*(a - 6)
Solve -4*q**4 - 64*q**3 - 384*q**2 - 1024*q - 1024 = 0 for q.
-4
Factor 55*c**4 + 340*c**3 - 325*c**2 - 70*c.
5*c*(c - 1)*(c + 7)*(11*c + 2)
Find d, given that -50*d**4/17 - 3180*d**3/17 - 49922*d**2/17 + 20352*d/17 - 2048/17 = 0.
-32, 1/5
Suppose m**2/4 - 59*m/4 - 15 = 0. Calculate m.
-1, 60
Factor 14*h**3/15 + 2146*h**2/15 + 204*h/5.
2*h*(h + 153)*(7*h + 2)/15
Suppose -4*r**2/7 - 12*r - 320/7 = 0. What is r?
-16, -5
Suppose -5*b**4 - 15*b**3 - 15*b**2 - 5*b = 0. Calculate b.
-1, 0
Find t, given that t**2/4 + 417*t - 1669/4 = 0.
-1669, 1
Solve d**4/7 - 5*d**3/7 - 15*d**2/7 + 5*d/7 + 2 = 0 for d.
-2, -1, 1, 7
Factor 2*u**2/9 - 32*u/3 + 352/9.
2*(u - 44)*(u - 4)/9
Factor -2*a**4 + 40*a**3 - 234*a**2 + 396*a.
-2*a*(a - 11)*(a - 6)*(a - 3)
Factor -j**3/4 + 3*j + 4.
-(j - 4)*(j + 2)**2/4
Determine g, given that g**3/2 - 48*g**2 + 189*g/2 - 47 = 0.
1, 94
Suppose -2*l**4/5 - 54*l**3/5 + 2*l**2/5 + 54*l/5 = 0. What is l?
-27, -1, 0, 1
Let -2*j**3/13 - 28*j**2/13 - 98*j/13 - 72/13 = 0. What is j?
-9, -4, -1
Factor 2*z**2/3 - 1184*z/3 + 175232/3.
2*(z - 296)**2/3
Let -14*y**3/15 - 46*y**2/15 + 248*y/5 + 72/5 = 0. What is y?
-9, -2/7, 6
Factor n**2/4 - 335*n/4 + 333/2.
(n - 333)*(n - 2)/4
Find i, given that 15*i**5 + 55*i**4 - 60*i**3 - 180*i**2 - 80*i = 0.
-4, -1, -2/3, 0, 2
Solve 2*t**3 + 76*t**2 + 280*t + 272 = 0.
-34, -2
Factor 4*o**2 - 9088*o + 5161984.
4*(o - 1136)**2
Factor -v**4/9 - 13*v**3/3 + v**2/9 + 13*v/3.
-v*(v - 1)*(v + 1)*(v + 39)/9
Suppose -d**5 + 22*d**4 + 48*d**3 + 2*d**2 - 47*d - 24 = 0. Calculate d.
-1, 1, 24
Factor -x**4 + 2*x**3 - x**2.
-x**2*(x - 1)**2
Suppose 16*w**5 + 30*w**4 - 116*w**3 + 78*w**2 - 8*w = 0. What is w?
-4, 0, 1/8, 1
Solve 2*l**2/9 + 488*l/9 = 0.
-244, 0
Factor 2*b**2/9 - 370*b/9.
2*b*(b - 185)/9
Let -4*a**4 + 20*a**3 + 32*a**2 - 48*a = 0. Calculate a.
-2, 0, 1, 6
Let -42*g**5 - 261*g**4 - 195*g**3 + 288*g**2 - 60*g = 0. Calculate g.
-5, -2, 0, 2/7, 1/2
Determine q so that -5*q**3/2 + 543*q**2/2 + 664*q + 222 = 0.
-2, -2/5, 111
Find v such that 5*v**2 - 1260*v + 1255 = 0.
1, 251
Factor p**3/6 + 4*p**2/3 - 79*p/6 + 35/3.
(p - 5)*(p - 1)*(p + 14)/6
Find r such that 3*r**3 - 15*r**2 + 18*r = 0.
0, 2, 3
Determine h, given that -h**4/5 - 21*h**3/5 - 131*h**2/5 - 171*h/5 + 324/5 = 0.
-9, -4, 1
Solve d**4/3 - 5*d**3/3 - 101*d**2/3 + 71*d - 36 = 0.