0.
-2, 1318
Determine n so that -20*n**4 + 1200*n**3 + 55815*n**2 + 54905*n + 13650 = 0.
-30, -1/2, 91
Determine v, given that -12*v**2 + 4126*v - 3430 = 0.
5/6, 343
Factor s**2/5 + 3989*s/5 - 798.
(s - 1)*(s + 3990)/5
Suppose 5*x**3 - 10190*x**2 - 40820*x - 40840 = 0. What is x?
-2, 2042
Factor 2*k**2/5 + 61680*k.
2*k*(k + 154200)/5
Suppose 2*u**2/19 - 700*u/19 - 702/19 = 0. Calculate u.
-1, 351
Factor -2*n**2 - 40400*n + 40402.
-2*(n - 1)*(n + 20201)
Solve -d**3/6 + 2*d**2 + 1721*d/2 - 25915/3 = 0 for d.
-71, 10, 73
Factor -n**4 - 17130*n**3 - 34257*n**2 - 17128*n.
-n*(n + 1)**2*(n + 17128)
Solve 2*l**3/19 - 162*l**2/19 + 4206*l/19 - 34510/19 = 0 for l.
17, 29, 35
Solve -5*d**3 - 2490*d**2 + 7505*d - 5010 = 0.
-501, 1, 2
Factor -4*x**3 + 493116*x**2 - 15197958396*x + 15197465284.
-4*(x - 61639)**2*(x - 1)
Let 3*d**3 + 92*d**2 - 332*d + 272 = 0. Calculate d.
-34, 4/3, 2
Suppose -3*p**3 - 66*p**2 - 123*p - 60 = 0. Calculate p.
-20, -1
Factor -7*u**2 - 178965*u - 76698.
-(u + 25566)*(7*u + 3)
Solve -y**4 + 35*y**3 - 196*y**2 = 0.
0, 7, 28
Find p, given that -p**2 - 1162*p + 119415 = 0.
-1257, 95
Factor 5*c**2/6 + 13254*c + 31808/3.
(c + 15904)*(5*c + 4)/6
Factor -2*o**4 + 836*o**3 - 98282*o**2 + 2282280*o - 14905800.
-2*(o - 195)**2*(o - 14)**2
Factor -2*i**3 + 13890*i**2 - 55536*i + 55528.
-2*(i - 6941)*(i - 2)**2
What is l in 5*l**2 + 57750*l = 0?
-11550, 0
Factor -4*o**2 + 49860*o.
-4*o*(o - 12465)
Suppose -45*p**4 - 4220*p**3 + 85680*p**2 - 533520*p + 1086480 = 0. What is p?
-1006/9, 6
Factor -2*n**4/3 - 104*n**3 - 11852*n**2/3 + 8216*n - 12482/3.
-2*(n - 1)**2*(n + 79)**2/3
Factor 25*q**2/3 - 1860*q + 12155/3.
5*(q - 221)*(5*q - 11)/3
Determine c, given that 3*c**3/8 - 81*c**2/4 - 6051*c/8 + 16965/4 = 0.
-29, 5, 78
Solve -27*h**5 + 9255*h**4 + 20661*h**3 + 13449*h**2 + 2070*h = 0.
-1, -2/9, 0, 345
Factor -z**3 + 8518*z**2 - 18079308*z - 254782584.
-(z - 4266)**2*(z + 14)
Factor i**2/9 + 8552*i/9 - 17108/9.
(i - 2)*(i + 8554)/9
Determine f so that 27*f**4 + 1284*f**3 - 48704*f**2/3 + 7024*f - 2320/3 = 0.
-58, 2/9, 10
Determine p so that 3*p**4 - 159*p**3 - 2619*p**2 - 12765*p - 20100 = 0.
-5, -4, 67
Factor i**4 + 51*i**3 - 159*i**2 + 161*i - 54.
(i - 1)**3*(i + 54)
Factor -i**3/2 + 163*i**2/2 - 3223*i/2 + 17061/2.
-(i - 141)*(i - 11)**2/2
Let -3*w**3/8 + 30*w**2 - 6243*w/8 + 26565/4 = 0. What is w?
22, 23, 35
Factor 5*k**4 - 23555*k**3 + 27777200*k**2 - 83119740*k.
5*k*(k - 2354)**2*(k - 3)
Determine d, given that -35*d**5 + 4005*d**4/2 - 29125*d**3/2 - 12375*d**2 + 58810*d + 17460 = 0.
-2, -2/7, 2, 9, 97/2
Determine r so that 5*r**2 - 6021210*r + 1812748493205 = 0.
602121
Suppose -i**3/4 + 6489*i**2/4 - 2629260*i - 7902387 = 0. What is i?
-3, 3246
Factor -2*o**3 + 52040*o**2 - 338728264*o + 2706496576.
-2*(o - 13006)**2*(o - 8)
Factor p**2 - 109594*p + 3002711209.
(p - 54797)**2
Factor 5*y**2 - 5815*y + 108680.
5*(y - 1144)*(y - 19)
Solve t**2 - 9323*t - 9324 = 0.
-1, 9324
Factor z**2 - 23081*z.
z*(z - 23081)
Factor -a**4/5 + 57*a**3/5 - 456*a**2/5 + 1172*a/5 - 192.
-(a - 48)*(a - 5)*(a - 2)**2/5
What is a in -3*a**4/2 + 51*a**3 + 489*a**2/2 - 5046*a + 4752 = 0?
-11, 1, 8, 36
Factor 2*u**4 - 592*u**3 - 11740*u**2 - 72000*u - 141750.
2*(u - 315)*(u + 5)**2*(u + 9)
Factor 4*v**3 + 5264*v**2 - 101628*v - 224280.
4*(v - 21)*(v + 2)*(v + 1335)
Factor -20*m**2 + 2265*m + 4025.
-5*(m - 115)*(4*m + 7)
Factor -a**3/8 - 135*a**2/8 + 1691*a/4 - 1413.
-(a - 18)*(a - 4)*(a + 157)/8
Determine c, given that 5*c**2 + 23535*c + 47050 = 0.
-4705, -2
Factor 5*r**4 + 28500*r**3 + 40726340*r**2 + 324444000*r + 647977280.
5*(r + 4)**2*(r + 2846)**2
Solve 128*j**5/3 - 35424*j**4 + 7321638*j**3 + 38669714*j**2/3 + 6571136*j + 1038336 = 0.
-1, -3/8, 416
Factor y**5 + 34*y**4 - 1289*y**3 + 1254*y**2.
y**2*(y - 22)*(y - 1)*(y + 57)
Factor -5*p**3 + 55145*p**2 - 110270*p.
-5*p*(p - 11027)*(p - 2)
Factor -2*t**3/5 + 202*t**2 - 3016*t/5 + 2008/5.
-2*(t - 502)*(t - 2)*(t - 1)/5
Solve -o**2/3 - 1475*o/3 - 5884/3 = 0 for o.
-1471, -4
Let -120050*t**3 + 358190*t**2 + 5872*t + 24 = 0. Calculate t.
-2/245, 3
Factor 4*t**2 - 1428*t + 7040.
4*(t - 352)*(t - 5)
Factor 5*y**4 - 125*y**3 - 28480*y**2.
5*y**2*(y - 89)*(y + 64)
Find g, given that 841*g**4 - 131834*g**3 + 5296681*g**2 - 10201224*g + 5035536 = 0.
1, 2244/29
Factor -z**3/8 + 1667*z**2/8 - 773971*z/8 + 64045905/8.
-(z - 781)**2*(z - 105)/8
Let -5662134240*j**5 - 5927794600*j**4 - 1605166010*j**3 - 236402775*j**2/2 - 3381750*j - 33750 = 0. What is j?
-2/3, -2/7, -15/476
Suppose 5*q**2 - 4720*q - 608925 = 0. Calculate q.
-115, 1059
Solve -5*s**4 - 880*s**3 + 70820*s**2 + 3520*s - 283200 = 0.
-236, -2, 2, 60
Factor -3*r**2/5 + 300822*r/5 - 601632/5.
-3*(r - 100272)*(r - 2)/5
Let -3*l**2/4 - 120999*l/4 = 0. What is l?
-40333, 0
Solve -2*l**4 + 14*l**3 + 64*l**2 - 456*l + 576 = 0.
-6, 2, 3, 8
Find d such that 5*d**2 - 52125*d = 0.
0, 10425
Let -6*v**5 + 1173*v**4/5 - 5262*v**3/5 - 9456*v**2 - 77472*v/5 - 27648/5 = 0. Calculate v.
-12/5, -2, -1/2, 12, 32
Factor 3*k**4/5 - 31*k**3/5 - 228*k**2.
k**2*(k + 15)*(3*k - 76)/5
Factor -2*k**2 - 1202*k + 8512.
-2*(k - 7)*(k + 608)
Factor -3*n**5 + 132*n**4 - 255*n**3 + 126*n**2.
-3*n**2*(n - 42)*(n - 1)**2
Solve -3*p**4/5 + 15207*p**3/5 - 6078*p**2 - 60828*p/5 + 121608/5 = 0 for p.
-2, 2, 5067
Factor r**2/6 + 263*r/2 - 96530/3.
(r - 196)*(r + 985)/6
Factor y**3/4 - 69*y**2/4 - 2257*y/4 + 2325/4.
(y - 93)*(y - 1)*(y + 25)/4
Find c such that 3*c**2/7 - 12933*c/7 - 1848 = 0.
-1, 4312
Determine h, given that 3*h**2/7 + 28071*h - 393006/7 = 0.
-65501, 2
Find r such that -15*r**5 - 835*r**4 - 14230*r**3 - 69600*r**2 - 40320*r = 0.
-24, -7, -2/3, 0
Determine h so that 3*h**5 - 927*h**4 - 1866*h**3 - 6*h**2 + 1863*h + 933 = 0.
-1, 1, 311
Suppose -4*b**2 + 586924*b + 1173864 = 0. Calculate b.
-2, 146733
Find x such that -2*x**3/7 + 32728*x**2/7 + 56136*x + 1179072/7 = 0.
-6, 16376
Factor -s**2/8 + 7417*s/4 - 55011889/8.
-(s - 7417)**2/8
Factor 5*p**3 + 155*p**2 + 750*p - 2160.
5*(p - 2)*(p + 9)*(p + 24)
Determine s so that 12*s**3 + 5373*s**2 + 51216*s - 13140 = 0.
-438, -10, 1/4
Factor 2*d**3 + 80*d**2 - 4958*d - 10220.
2*(d - 35)*(d + 2)*(d + 73)
Suppose 2*l**3 + 3330*l**2 - 10088*l - 133440 = 0. What is l?
-1668, -5, 8
Factor 5*o**3 + 3705*o**2 + 24550*o - 836760.
5*(o - 12)*(o + 19)*(o + 734)
Factor -4*r**2/7 - 58148*r/7 - 174408/7.
-4*(r + 3)*(r + 14534)/7
Determine a, given that 3*a**3/5 + 3723*a**2/5 + 628056*a/5 - 358466256/5 = 0.
-732, 223
Factor -4*p**4/7 + 1345222*p**3/7 - 21543089748*p**2 + 5635004442070408*p/7 + 2817539921610416/7.
-2*(p - 112102)**3*(2*p + 1)/7
Find s, given that 5*s**2 - 32100*s - 289305 = 0.
-9, 6429
Suppose -3*r**3 - 1296*r**2 = 0. What is r?
-432, 0
Suppose -3*s**2 - 12651*s + 12654 = 0. Calculate s.
-4218, 1
What is m in -m**2/6 + 26663*m/3 - 17775/2 = 0?
1, 53325
Factor -2*d**2 - 4120*d - 8232.
-2*(d + 2)*(d + 2058)
Find a, given that 147*a**5 - 13540695*a**4 + 7737504*a**3 - 1105356*a**2 = 0.
0, 2/7, 92113
Factor 3*d**5 + 7422*d**4 + 6125616*d**3 + 1690650240*d**2 + 3356857344*d.
3*d*(d + 2)*(d + 824)**3
Factor -2*c**2 - 10390*c - 31152.
-2*(c + 3)*(c + 5192)
Factor k**4/3 - 210*k**3 + 98593*k**2/3 + 66360*k + 99856/3.
(k - 316)**2*(k + 1)**2/3
Determine v, given that 4*v**2 - 238200*v + 3546202500 = 0.
29775
Factor h**2/4 + 133*h - 807.
(h - 6)*(h + 538)/4
Suppose -3*k**2 + 4653*k + 9318 = 0. Calculate k.
-2, 1553
Let -12*p**4 - 464168*p**3 + 618908*p**2 - 154728*p = 0. What is p?
-38682, 0, 1/3, 1
Solve -2*b**4/9 - 956*b**3/9 + 8040*b**2 + 300848*b/9 + 304640/9 = 0.
-544, -2, 70
Suppose -2*b**3/5 + 4898*b**2/5 - 1958*b + 4894/5 = 0. Calculate b.
1, 2447
Factor -5*z**3 - 4365*z**2 - 963480*z - 4708900.
-5*(z + 5)*(z + 434)**2
Find g, given that 4*g**3/3 - 1004*g**2 + 45712*g + 596992/3 = 0.
-4, 53, 704
Factor -4*i**2/7 - 45020*i/7 + 90056/7.
-4*(i - 2)*(i + 11257)/7
Factor -53868*d**3 - 84688*d**2 - 17920*d - 1024.
-4*(3*d + 4)*(67*d + 8)**2
What is w in 16*w**2 + 878*w = 0?
-439/8, 0
Find z, given that -5*z**2 - 4869410*z - 1185557687405 = 0.
-486941
Find f, given that 3*f**4 + 163278*f**3 + 2221805379*f**2 + 4443120936*f + 2221478832 = 0.
-27212, -1
Let 2*o**5/5 - 238*o**4/5 + 8854*o**3/5 - 115322*o**2/5 + 287496*o/5 - 180792/5 = 0. What is o?
1, 