t**4/11 - 17*t**3/11 - 71*t**2/11 + 113*t/11 + 840/11 = 0.
-8, -7, -5, 3
Suppose -4*z**4/5 + 248*z**3/5 - 48*z**2 - 248*z/5 + 244/5 = 0. What is z?
-1, 1, 61
Solve 3*w**4 - 141*w**3 - 9*w**2 + 417*w + 282 = 0 for w.
-1, 2, 47
Factor 2*w**2 - 10*w - 12.
2*(w - 6)*(w + 1)
Let -w**5/5 - 9*w**4 - 242*w**3/5 - 306*w**2/5 + 243*w/5 + 351/5 = 0. Calculate w.
-39, -3, -1, 1
Find l, given that -4*l**3 - 82*l**2 - 424*l - 192 = 0.
-12, -8, -1/2
Factor -3*w**4 - 27*w**3 - 21*w**2 + 135*w - 84.
-3*(w - 1)**2*(w + 4)*(w + 7)
Factor 4*i**5 - 20*i**4 + 24*i**3 + 8*i**2 - 28*i + 12.
4*(i - 3)*(i - 1)**3*(i + 1)
Solve -9*s**3/5 + 183*s**2/5 - 12*s = 0.
0, 1/3, 20
Factor 4*g**3 - 64*g**2 + 180*g + 648.
4*(g - 9)**2*(g + 2)
Factor 2*p**2 - 158*p - 160.
2*(p - 80)*(p + 1)
Find a such that a**2 + 2955*a - 2956 = 0.
-2956, 1
Solve t**3/7 - 54*t**2/7 + 540*t/7 + 5400/7 = 0 for t.
-6, 30
Factor 3*f**3 + 51*f**2 + 192*f + 144.
3*(f + 1)*(f + 4)*(f + 12)
Factor -y**4/2 + 753*y**3/2 - 94122*y**2 + 7715736*y + 24004512.
-(y - 252)**3*(y + 3)/2
Factor 2*d**2/11 + 7892*d/11 + 7785458/11.
2*(d + 1973)**2/11
Factor -4*o**4/7 + 4*o**3/7 + 48*o**2/7.
-4*o**2*(o - 4)*(o + 3)/7
Determine w, given that -2*w**5 - 10*w**4 + 66*w**3 + 386*w**2 + 160*w - 600 = 0.
-5, -2, 1, 6
Solve 20*c**4 + 12*c**3 - 8*c**2 = 0 for c.
-1, 0, 2/5
Determine f, given that 26*f**2/3 - 742*f/3 - 116 = 0.
-6/13, 29
Factor -g**4/6 - 2*g**3/3 - 2*g**2/3.
-g**2*(g + 2)**2/6
Suppose a**3/3 - 5*a**2/3 - 13*a/3 - 7/3 = 0. Calculate a.
-1, 7
What is x in x**3/3 - 4*x**2/3 + x/3 + 2 = 0?
-1, 2, 3
Factor -3*p**3/7 + 663*p**2/7 - 3897*p/7 + 5805/7.
-3*(p - 215)*(p - 3)**2/7
Factor 2*i**3/5 - 6*i**2/5 - 26*i/5 + 6.
2*(i - 5)*(i - 1)*(i + 3)/5
Let -y**4/7 + 9*y**3/7 - 20*y**2/7 = 0. What is y?
0, 4, 5
Solve -21*i**5/8 + 27*i**4 + 717*i**3/8 + 81*i**2/2 - 39*i/2 = 0.
-2, -1, 0, 2/7, 13
Factor y**3/2 + 20*y**2 + 77*y/2 + 19.
(y + 1)**2*(y + 38)/2
What is t in -t**4/3 + 2*t**3/3 + t**2/3 - 2*t/3 = 0?
-1, 0, 1, 2
Factor -n**5/7 + 3*n**4/7 - 2*n**3/7.
-n**3*(n - 2)*(n - 1)/7
Find y, given that 2*y**4 + 1274*y**3 - 2554*y**2 + 1278*y = 0.
-639, 0, 1
What is x in -3*x**3 - 759*x**2 + 3072*x - 3084 = 0?
-257, 2
What is k in -10206*k**4 + 108*k**3 + 71440*k**2/7 - 108*k + 2/7 = 0?
-1, 1/189, 1
Factor 5*j**4 - 3*j**3 - 7*j**2 + 3*j + 2.
(j - 1)**2*(j + 1)*(5*j + 2)
Let -2*x**2 - 262*x - 2420 = 0. Calculate x.
-121, -10
Factor -t**4/2 + 4*t**3 - 21*t**2/2 + 9*t.
-t*(t - 3)**2*(t - 2)/2
Factor 3*r**4 - 1155*r**3 + 114000*r**2 - 541500*r.
3*r*(r - 190)**2*(r - 5)
Suppose -a**3/6 + 2*a**2 - 6*a + 16/3 = 0. What is a?
2, 8
Factor c**3/3 - 2*c**2/3.
c**2*(c - 2)/3
Factor -a**2/2 - 3*a + 176.
-(a - 16)*(a + 22)/2
Factor -4*w**3 + 36*w**2 - 72*w.
-4*w*(w - 6)*(w - 3)
Solve -3*i**3/7 + 108*i**2/7 - 720*i/7 + 192 = 0.
4, 28
Determine s, given that -s**2 + 1253*s + 2510 = 0.
-2, 1255
Factor -6*m**2 + 94*m + 136.
-2*(m - 17)*(3*m + 4)
What is u in u**5 - 16*u**4 - 197*u**3 - 664*u**2 - 884*u - 400 = 0?
-4, -2, -1, 25
Solve -3*b**3 + 335*b**2/3 + 1402*b/3 - 328/3 = 0.
-4, 2/9, 41
Find d such that 12*d**5/5 + 232*d**4/5 + 1696*d**3/5 + 1128*d**2 + 1540*d + 400 = 0.
-5, -4, -1/3
Factor -4*o**3/3 + 16*o**2/3 - 4*o.
-4*o*(o - 3)*(o - 1)/3
Determine k so that -k**3/6 + 55*k**2/6 - 79*k/3 + 52/3 = 0.
1, 2, 52
Find l such that 2*l**3 + 28*l**2 - 98*l + 68 = 0.
-17, 1, 2
Factor g**4/4 - 43*g**3/4 + 91*g**2/2 + 88*g - 456.
(g - 38)*(g - 4)**2*(g + 3)/4
Factor 3*p**3/5 + 3*p**2/5 - 99*p/5 + 189/5.
3*(p - 3)**2*(p + 7)/5
Find s, given that 60*s**2 + 117*s - 6 = 0.
-2, 1/20
Solve -l**3/3 + 2269*l**2/3 + 4541*l/3 + 757 = 0 for l.
-1, 2271
Factor -36*u**4 + 16*u**3.
-4*u**3*(9*u - 4)
Suppose 3*p**5 + 69*p**4 + 129*p**3 + 63*p**2 = 0. Calculate p.
-21, -1, 0
Factor -f**4/8 - 357*f**3/8 + 179*f**2/4.
-f**2*(f - 1)*(f + 358)/8
Find h, given that -2*h**5/3 + 6*h**4 + 272*h**3/3 = 0.
-8, 0, 17
Factor 5*h**4 - 10*h**3 + 10*h - 5.
5*(h - 1)**3*(h + 1)
Factor 2*l**3/7 + 82*l**2/7.
2*l**2*(l + 41)/7
Factor 4*s**5 + 136*s**4 - 140*s**3.
4*s**3*(s - 1)*(s + 35)
Factor -2*q**2 + 48*q.
-2*q*(q - 24)
Determine f, given that 4*f**2 + 352*f + 348 = 0.
-87, -1
Factor -2*v**2/3 - 5312*v/3 - 3527168/3.
-2*(v + 1328)**2/3
Factor 4*p**3 - 16*p**2 + 20*p - 8.
4*(p - 2)*(p - 1)**2
Determine l, given that -3*l**2 - 55848*l - 259916592 = 0.
-9308
Suppose -n**2/5 + 7*n/5 - 2 = 0. Calculate n.
2, 5
Factor -5*d**3 + 585*d**2 + 590*d.
-5*d*(d - 118)*(d + 1)
Solve 2*q**3 - 2806*q**2 + 2804*q = 0.
0, 1, 1402
Suppose 2*j**4/5 + 26*j**3/5 + 114*j**2/5 + 38*j + 20 = 0. Calculate j.
-5, -2, -1
Determine d, given that -d**3/2 - 115*d**2 - 227*d/2 + 229 = 0.
-229, -2, 1
Find y, given that 19*y**4 + 112*y**3 - 316*y**2 + 32*y = 0.
-8, 0, 2/19, 2
Factor -2*f**5/7 - 2*f**4 - 32*f**3/7 - 16*f**2/7 + 32*f/7 + 32/7.
-2*(f - 1)*(f + 2)**4/7
Find s, given that 5*s**5 + 10*s**4 - 20*s**3 - 10*s**2 + 15*s = 0.
-3, -1, 0, 1
Suppose -2*i**3/13 - 10*i**2/13 + 50*i/13 + 250/13 = 0. Calculate i.
-5, 5
Find m, given that 5*m**4/4 - 5*m**3/2 - 15*m**2/4 + 5*m + 5 = 0.
-1, 2
Factor -j**2/3 - 630*j - 1889/3.
-(j + 1)*(j + 1889)/3
Let -25*y**4 + 60*y**3 + 480*y**2 + 400*y - 240 = 0. What is y?
-2, 2/5, 6
Factor -5*n**2/2 - 200*n - 4000.
-5*(n + 40)**2/2
Find x such that -2*x**4 - 72*x**3 = 0.
-36, 0
Solve y**2/7 + 52*y/7 - 768/7 = 0.
-64, 12
Find z, given that 4*z**5/9 - 32*z**4/3 - 92*z**3 + 360*z**2 = 0.
-9, 0, 3, 30
Solve -5*r**3 + 144*r**2 - 241*r - 54 = 0 for r.
-1/5, 2, 27
Determine k so that -k**3/7 - 12*k**2/7 - 17*k/7 + 30/7 = 0.
-10, -3, 1
Let -5*c**3 + 20*c**2 - 15*c = 0. Calculate c.
0, 1, 3
Factor -2*u**2/7 - 144*u/7 + 146/7.
-2*(u - 1)*(u + 73)/7
Solve 36*h**3 + 9912*h**2 - 6620*h + 1104 = 0.
-276, 1/3
Factor h**2/4 + 779*h/2 + 606841/4.
(h + 779)**2/4
Solve -c**2 - 3*c + 130 = 0.
-13, 10
Find x, given that -x**2 + 48*x + 448 = 0.
-8, 56
Factor -t**2/2 - 79*t/2 + 81.
-(t - 2)*(t + 81)/2
Solve -5*t**4 + 10*t**3 + 60*t**2 - 200*t + 160 = 0 for t.
-4, 2
Factor -j**3 - 231*j**2 - 13455*j - 13225.
-(j + 1)*(j + 115)**2
Factor 4*k**2/9 - 44*k/9.
4*k*(k - 11)/9
Factor -5*s**3 + 65*s**2 + 45*s - 585.
-5*(s - 13)*(s - 3)*(s + 3)
Factor -30*q**3/11 + 236*q**2/11 - 448*q/11 - 64/11.
-2*(q - 4)**2*(15*q + 2)/11
Determine x so that 4*x**3/3 - 1054*x**2/9 + 23056*x/9 + 3872/9 = 0.
-1/6, 44
Determine z, given that 5*z**2 + 365*z = 0.
-73, 0
Factor 5*u**3 + 135*u**2 + 370*u + 240.
5*(u + 1)*(u + 2)*(u + 24)
What is c in 22*c**5/5 - 642*c**4/5 + 94*c**3/5 + 642*c**2/5 - 116*c/5 = 0?
-1, 0, 2/11, 1, 29
Suppose 2*r**3/9 + 4*r**2/9 = 0. What is r?
-2, 0
Suppose 8*r**5 + 276*r**4 - 1412*r**3 - 156*r**2 + 6012*r - 2808 = 0. Calculate r.
-39, -2, 1/2, 3
Find u, given that 2*u**5/5 - 488*u**4/5 - 984*u**3/5 - 4*u**2/5 + 982*u/5 + 492/5 = 0.
-1, 1, 246
Factor -3*a**2 - 36*a + 84.
-3*(a - 2)*(a + 14)
Suppose -y**4 + 37*y**3 - 102*y**2 - 4*y + 136 = 0. Calculate y.
-1, 2, 34
Factor -m**2 + 477*m + 478.
-(m - 478)*(m + 1)
Factor 5*w**3 - 80*w**2.
5*w**2*(w - 16)
Find z, given that 505*z**3 - 2010*z**2 + 1475*z + 30 = 0.
-2/101, 1, 3
Factor d**5 - 48*d**4 + 622*d**3 - 1104*d**2 + 529*d.
d*(d - 23)**2*(d - 1)**2
Solve 192*y**5 - 11664*y**4 - 14829*y**3 - 3159*y**2 - 186*y = 0.
-1, -1/8, 0, 62
Suppose 3*v**4 + 21*v**3 - 9*v**2 - 165*v + 150 = 0. Calculate v.
-5, 1, 2
Factor 2*g**3/9 + 34*g**2/9 - 4*g.
2*g*(g - 1)*(g + 18)/9
Solve 5*w**4 + 10*w**3 - 75*w**2 - 180*w = 0 for w.
-3, 0, 4
Factor 8*a**2 + 1020*a - 512.
4*(a + 128)*(2*a - 1)
Factor -4*m**4/3 - 1880*m**3/3 - 220900*m**2/3.
-4*m**2*(m + 235)**2/3
Find k, given that -2*k**4 + 128*k**3 - 828*k**2 + 1728*k - 1026 = 0.
1, 3, 57
Suppose -4*n**4/7 - 88*n**3/7 + 128*n**2/7 + 792*n/7 - 828/7 = 0. Calculate n.
-23, -3, 1, 3
Factor -9*g**5 - 24*g**4 - 22*g**3 - 8*g**2 - g.
-g*(g + 1)**2*(3*g + 1)**2
Factor -2*u**5/5 - 4*u**4 - 72*u**3/5 - 112*u**2/5 - 64*u/5.
-2*u*(u + 2)**3*(u + 4)/5
Find r such that -5*r**4/4 - 17*r**3/4 + 7*r**2/2 + 2*r = 0.
-4, -2/5, 0, 1
Let d**2 - 51*d + 638 = 0. Calculate d.
22, 29
Let -5*v**4 + 185*v**3 - 1570*v**2 - 1760*v = 0. What is v?
-1, 0, 16, 22
Suppose -25*d**3/7 + 150*d**2/7 + 31*d/7 = 0. What is d?
-1/5, 0, 31/5
Suppose -2*n**5/5 + 64*n**4/5 - 24*n**3 - 4*n**2/5 + 122*n/5 - 12 = 0. What is n?
-1, 1, 30
Determine k so that -81*k**4 - 3651