**3 + 390*w**2 - 245*w + 40 = 0. What is w?
1/4, 1, 8
Find j such that 315*j**4 - 50725*j**3 + 2017295*j**2 + 2002725*j - 65610 = 0.
-1, 2/63, 81
Factor -4*t**2 - 60*t + 10800.
-4*(t - 45)*(t + 60)
Let -k**2/5 - 6940*k - 34699/5 = 0. What is k?
-34699, -1
Determine b so that b**4/7 - 242*b**3/7 - 1993*b**2/7 - 250*b = 0.
-7, -1, 0, 250
Suppose -2*p**2/5 + 2946*p/5 - 66420 = 0. Calculate p.
123, 1350
Let 3*m**2 - 1254*m + 47376 = 0. Calculate m.
42, 376
Find f, given that -5*f**3 - 200*f**2 - 1540*f + 9680 = 0.
-22, 4
Factor -5*p**2/2 + 49695*p/2 + 223830.
-5*(p - 9948)*(p + 9)/2
Solve -z**4/2 + 1822*z**3 = 0 for z.
0, 3644
What is j in 3*j**3/4 + 405*j**2/2 + 18753*j/4 + 46305/2 = 0?
-245, -18, -7
Suppose 2*b**4/5 + 116*b**3/5 - 126*b**2 = 0. What is b?
-63, 0, 5
Let -3*i**2 + 261*i + 80514 = 0. What is i?
-126, 213
Determine o, given that -85*o**5 - 5625*o**4 - 6430*o**3 + 4650*o**2 + 6515*o + 975 = 0.
-65, -1, -3/17, 1
Find b, given that -2*b**2/7 - 271836*b/7 = 0.
-135918, 0
Factor -3*u**4/2 - 240*u**3 + 7254*u**2.
-3*u**2*(u - 26)*(u + 186)/2
Solve -2*r**5/9 + 98*r**4/3 + 12680*r**3/9 + 11200*r**2/9 - 5632*r - 49504/9 = 0 for r.
-34, -2, -1, 2, 182
Factor 26*t**4/9 - 16124*t**3/9 + 2501080*t**2/9 - 384400*t/9.
2*t*(t - 310)**2*(13*t - 2)/9
Let -5*f**4 + 1180*f**3 - 49825*f**2 - 103210*f - 52200 = 0. Calculate f.
-1, 58, 180
Solve 2*d**2/3 + 6320*d/3 = 0 for d.
-3160, 0
Suppose 14*q**2 - 878420*q + 250976 = 0. What is q?
2/7, 62744
Factor c**3 + 75207*c**2 + 150411*c + 75205.
(c + 1)**2*(c + 75205)
Solve -6*g**2/7 - 526548*g/7 - 11552199846/7 = 0.
-43879
What is f in -2*f**3 + 5706*f**2 + 34290*f + 51462 = 0?
-3, 2859
Find j such that -31912*j**3 + 319084*j**2 - 797440*j - 900 = 0.
-9/7978, 5
Factor -r**4/5 - 96*r**3 - 61248*r**2/5 - 861184*r/5.
-r*(r + 16)*(r + 232)**2/5
Factor 2*h**4/7 - 18*h**3/7 - 128*h**2/7 - 24*h.
2*h*(h - 14)*(h + 2)*(h + 3)/7
Find x, given that 31*x**5 + 151*x**4 + 42*x**3 - 628*x**2 - 664*x + 96 = 0.
-3, -2, 4/31, 2
Factor -4*n**2 - 258328*n - 4170834724.
-4*(n + 32291)**2
What is s in -6502500*s**4 - 13025400*s**3 - 40816*s**2 - 32*s = 0?
-2, -2/1275, 0
Factor r**2/3 + 94*r/3 - 113729.
(r - 539)*(r + 633)/3
Find n, given that -5*n**3 - 1185*n**2 + 172385*n - 171195 = 0.
-339, 1, 101
Factor 2*o**2/7 + 8*o/7 - 8970/7.
2*(o - 65)*(o + 69)/7
Factor z**4 + 114*z**3 - 231*z**2 + 116*z.
z*(z - 1)**2*(z + 116)
Find u such that -2*u**2 - 3104*u - 3102 = 0.
-1551, -1
Determine f, given that -950*f**3 + 37038*f**2 + 38468*f + 480 = 0.
-1, -6/475, 40
Factor -o**2/7 + 85641*o/7 + 85642/7.
-(o - 85642)*(o + 1)/7
Factor b**2/3 + 184*b - 13596.
(b - 66)*(b + 618)/3
Factor -5*z**4/3 - 6590*z**3/3 - 19680*z**2 - 58950*z - 58905.
-5*(z + 3)**3*(z + 1309)/3
Find x, given that -5*x**2 - 1110*x + 44975 = 0.
-257, 35
Factor b**2/3 + 306268*b/3 + 23450021956/3.
(b + 153134)**2/3
Determine j so that -5*j**5 - 895*j**4/3 - 4565*j**3 + 105*j**2 + 304210*j/3 - 33640 = 0.
-29, -6, 1/3, 4
Factor 3*j**3 - 78*j**2 - 8445*j - 8364.
3*(j - 68)*(j + 1)*(j + 41)
Let -2*k**4/3 + 22*k**3/3 + 584*k**2/3 - 4480*k/3 = 0. What is k?
-16, 0, 7, 20
Factor 2*i**2/17 - 1076*i/17 - 274806/17.
2*(i - 727)*(i + 189)/17
Find s such that 4*s**2/3 + 472*s + 1412/3 = 0.
-353, -1
Let f**4 + 48397*f**3 + 585591598*f**2 + 585446412*f - 1171086408 = 0. Calculate f.
-24198, -2, 1
Find u such that u**5 + 3318*u**4 + 2782005*u**3 + 49351700*u**2 + 286522500*u + 544500000 = 0.
-1650, -8, -5
Factor 5*v**2 + 6505*v - 26100.
5*(v - 4)*(v + 1305)
Determine o, given that 3*o**4/5 - 3096*o**3/5 + 1118802*o**2/5 - 165137544*o/5 + 8535146763/5 = 0.
143, 373
Factor -j**3 - 56*j**2 - 589*j - 1290.
-(j + 3)*(j + 10)*(j + 43)
Let 3*x**3 - 2388*x**2 + 504735*x - 11561550 = 0. What is x?
26, 385
Factor m**4/10 + 323*m**3/5 + 1929*m**2/10.
m**2*(m + 3)*(m + 643)/10
Factor 2*g**2 - 7520*g - 280978.
2*(g - 3797)*(g + 37)
Factor 3*i**2/5 + 40089*i/5 - 16038.
3*(i - 2)*(i + 13365)/5
Determine s, given that 51*s**4/4 + 104*s**3 + 77*s**2 = 0.
-22/3, -14/17, 0
Determine t so that t**4/4 + 617*t**3/2 + 1231*t**2/4 - 1233*t/2 = 0.
-1233, -2, 0, 1
Factor -h**3/3 - 44*h**2/3 - 365*h/3 - 850/3.
-(h + 5)**2*(h + 34)/3
Factor -5*f**4/6 - 795*f**3/2 - 4730*f**2/3.
-5*f**2*(f + 4)*(f + 473)/6
Suppose 2*g**3 + 24410*g**2 + 75051334*g + 3473698654 = 0. Calculate g.
-6079, -47
Determine c so that -c**2/3 - 40106*c - 1206368427 = 0.
-60159
Let -4*j**5 - 452*j**4 - 10556*j**3 + 452*j**2 + 10560*j = 0. Calculate j.
-80, -33, -1, 0, 1
Factor -f**3/7 - 958*f**2/7 - 213345*f/7 + 7840800/7.
-(f - 32)*(f + 495)**2/7
Factor y**4/2 + 303*y**3/2 + 21195*y**2/2 - 271139*y/2.
y*(y - 11)*(y + 157)**2/2
Find k such that -2*k**4/17 + 40*k**3 - 5970*k**2/17 + 3940*k/17 + 10592/17 = 0.
-1, 2, 8, 331
Find r such that r**4 - 9836*r**3/3 + 3589390*r**2 - 1318831348*r + 22076141707/3 = 0.
17/3, 1091
Find p such that -5*p**2 + 118090*p - 118085 = 0.
1, 23617
What is h in 5*h**4 + 3540*h**3 - 15*h**2 - 10630*h - 7080 = 0?
-708, -1, 2
Factor -z**2/4 - 261*z/4 + 3355.
-(z - 44)*(z + 305)/4
Factor 5*s**4 - 680*s**3 + 27315*s**2 - 253800*s - 1026000.
5*(s - 60)**2*(s - 19)*(s + 3)
Suppose 14*w**4 + 6920*w**3 + 286050*w**2 + 621760*w + 154456 = 0. What is w?
-449, -43, -2, -2/7
Factor 4*i**2 + 98908*i + 197800.
4*(i + 2)*(i + 24725)
Solve -9*j**2/8 + 860073*j/8 - 286689/4 = 0.
2/3, 95563
Factor 324*x**3 - 744804*x**2 + 432834880*x - 5501693392.
4*(x - 13)*(9*x - 10286)**2
Factor 9*w**3 + 7341*w**2 - 9800*w + 3268.
(w + 817)*(3*w - 2)**2
Let -2*i**2/15 + 1982*i/15 - 3956/15 = 0. Calculate i.
2, 989
Suppose -2*w**2/9 - 556*w/9 - 34034/9 = 0. What is w?
-187, -91
What is d in 12*d**2 + 450759*d + 112689 = 0?
-37563, -1/4
Solve -2*o**3 - 126*o**2 - 1708*o - 1584 = 0 for o.
-44, -18, -1
Determine w, given that -164*w**4 + 1496*w**3 - 4608*w**2 + 4968*w - 540 = 0.
5/41, 3
Solve 13*a**4 + 140*a**3 - 912*a**2 - 4912*a - 5264 = 0.
-14, -2, 94/13
Determine s, given that -s**2/7 + 732*s/7 - 2133 = 0.
21, 711
Factor -r**2/2 - 10*r + 48.
-(r - 4)*(r + 24)/2
Factor -29*a**2 + 279*a - 532.
-(a - 7)*(29*a - 76)
Solve v**4/4 + 9*v**3 + 49*v**2 - 216*v - 560 = 0 for v.
-28, -10, -2, 4
Factor -1182*c**2/7 - 14180*c/7 + 48/7.
-2*(c + 12)*(591*c - 2)/7
Determine b, given that 4*b**5/7 - 56*b**4 + 8628*b**3/7 - 20992*b**2/7 - 4288*b = 0.
-1, 0, 4, 28, 67
Find m such that -2*m**4/15 - 50*m**3/3 + 5512*m**2/15 + 384*m = 0.
-144, -1, 0, 20
Suppose -5*l**2/2 - 1789*l/2 - 1779 = 0. Calculate l.
-1779/5, -2
Suppose 5*h**5/4 - 595*h**4/4 - 2435*h**3/4 - 3065*h**2/4 - 615*h/2 = 0. Calculate h.
-2, -1, 0, 123
Factor -5*l**2 + 13925*l.
-5*l*(l - 2785)
Factor 4*y**4 - 2160*y**3 + 352528*y**2 - 16450560*y + 232013824.
4*(y - 238)**2*(y - 32)**2
Factor g**2/6 + 83*g/3 - 56.
(g - 2)*(g + 168)/6
Determine a so that 5*a**5/3 + 1640*a**4/3 + 57610*a**3 + 5087260*a**2/3 - 81657755*a/3 - 28857940 = 0.
-113, -1, 12
Let i**2/3 + 1073*i/3 - 358 = 0. What is i?
-1074, 1
Factor -2*d**2 + 36964*d + 36966.
-2*(d - 18483)*(d + 1)
Factor -c**4 - 64422*c**3 - 1383462444*c**2 - 9905129558378*c - 29702939252451.
-(c + 3)*(c + 21473)**3
Let -4*u**2 + 11488*u + 22992 = 0. Calculate u.
-2, 2874
Factor -2*o**2/15 - 241566*o/5 - 724696/15.
-2*(o + 1)*(o + 362348)/15
Suppose 2*c**4 + 52*c**3 + 398*c**2 + 780*c = 0. Calculate c.
-13, -10, -3, 0
Factor 2*o**2/15 - 79360*o/3 - 132270.
2*(o - 198405)*(o + 5)/15
Solve 4*m**3/3 + 28*m**2/3 - 560*m/3 - 400 = 0.
-15, -2, 10
Factor 285*u**3 - 2031*u**2 + 3672*u - 432.
3*(u - 4)*(u - 3)*(95*u - 12)
Suppose v**3/7 - 35*v**2 - 15046*v/7 - 14800/7 = 0. Calculate v.
-50, -1, 296
Let 121*k**3/7 + 5885*k**2/7 - 22496*k + 123648 = 0. What is k?
-69, 112/11
What is q in 2*q**3/3 - 102*q**2 + 4624*q - 196520/3 = 0?
34, 85
Factor -2*d**3/11 + 80474*d**2/11 + 160954*d/11 + 80478/11.
-2*(d - 40239)*(d + 1)**2/11
Factor 5*g**2 + 11770*g - 177675.
5*(g - 15)*(g + 2369)
Factor 124609*n**4/2 + 33182*n**3 - 87009*n**2 - 24346*n + 67081/2.
(n + 1)**2*(353*n - 259)**2/2
Factor m**3/3 - 1826*m**2 + 2500707*m.
m*(m - 2739)**2/3
Let -3*w**5 + 4173*w**4 - 1465704*w**3 + 10122612*w**2 - 23035296*w + 17239104 = 0. What is w?
2, 3, 692
What is a in -a**3/4 - 523*a**2/4 - 261*a/2 = 0?
-522, -1, 0
Factor 2*c**3/3 + 3224*c**2/3 + 1302490*c/3 + 2592100/3.
2*(c + 2)*(c + 805)**