n that -4*r**2/3 - 53380*r/3 - 1225624/3 = 0.
-13322, -23
Suppose -2*a**2/7 + 4896*a/7 - 206830/7 = 0. Calculate a.
43, 2405
Determine k so that -k**4/4 - 157*k**3/4 + 317*k**2/4 - 159*k/4 = 0.
-159, 0, 1
Find g, given that 2*g**5 - 652*g**4 + 56780*g**3 - 574648*g**2 - 1322254*g - 690172 = 0.
-1, 14, 157
Factor f**2 - 1278685*f/4 - 239754.
(f - 319672)*(4*f + 3)/4
Determine w, given that 15*w**5 + 20*w**4 - 20*w**3 - 30*w**2 + 5*w + 10 = 0.
-1, 2/3, 1
Factor 5*p**4 - 640*p**3 + 1265*p**2 - 630*p.
5*p*(p - 126)*(p - 1)**2
Suppose -16*b**3 - 132476*b**2 - 628948*b - 397200 = 0. What is b?
-8275, -4, -3/4
Determine h so that -4*h**5 + 19384*h**4 - 23618868*h**3 + 327126400*h**2 - 303526912*h = 0.
0, 1, 13, 2416
Let -3*n**5/2 - 771*n**4/2 + 1221*n**3 + 13332*n**2 + 18720*n = 0. What is n?
-260, -3, -2, 0, 8
Find c, given that -2*c**3/5 + 1242*c**2/5 - 32176*c/5 + 11880 = 0.
2, 25, 594
Let -4*y**5/7 - 976*y**4/7 - 82048*y**3/7 - 2575480*y**2/7 - 16563772*y/7 + 2746040 = 0. Calculate y.
-79, -77, -10, 1
Suppose 5*f**5 - 1310*f**4 - 4040*f**3 + 17150*f**2 + 19875*f = 0. Calculate f.
-5, -1, 0, 3, 265
Solve -4*m**4/7 - 488*m**3/7 - 11936*m**2/7 - 11776*m = 0.
-92, -16, -14, 0
Suppose 4*d**4 - 1006*d**3 - 12700*d**2 + 13702*d = 0. What is d?
-13, 0, 1, 527/2
Factor 2*u**3/5 - 1846*u**2/5 + 3684*u/5.
2*u*(u - 921)*(u - 2)/5
What is l in 8*l**5/3 - 2668*l**4/3 + 41108*l**3 - 2056252*l**2/3 + 12081356*l/3 - 1847288 = 0?
1/2, 17, 282
Factor -2*l**3/9 + 66344*l**2/3 + 44230*l + 199036/9.
-2*(l - 99518)*(l + 1)**2/9
Suppose -g**3 + 198*g**2 - 12201*g + 240100 = 0. What is g?
49, 100
Factor -y**2/2 - 5068*y - 70854.
-(y + 14)*(y + 10122)/2
Factor 4*b**3 + 412*b**2 - 13600*b + 57200.
4*(b - 22)*(b - 5)*(b + 130)
Determine n so that 2*n**2/9 + 33776*n/9 + 142602272/9 = 0.
-8444
Solve 2*d**4/5 + 64*d**3/5 + 174*d**2/5 = 0 for d.
-29, -3, 0
Factor -4*v**2 + 17944*v + 89820.
-4*(v - 4491)*(v + 5)
Suppose 5*h**5 + 875*h**4 - 5505*h**3 - 13615*h**2 - 7240*h = 0. What is h?
-181, -1, 0, 8
What is h in 2*h**2/5 - 63804*h/5 - 1021376/5 = 0?
-16, 31918
Find w such that -6*w**4/11 + 5106*w**3/11 - 35346*w**2/11 - 86034*w/11 - 45576/11 = 0.
-1, 9, 844
Factor -2500*x**4 + 1250400*x**3 - 156450016*x**2 + 25008000*x - 1000000.
-4*(x - 250)**2*(25*x - 2)**2
Find g such that g**4 - 750*g**3 + 5161*g**2 + 29676*g + 32692 = 0.
-2, 11, 743
Let 9*a**3/2 - 153939*a**2/2 + 329089508*a + 329166482 = 0. Calculate a.
-1, 25658/3
Factor -27*j**2 + 812*j - 60.
-(j - 30)*(27*j - 2)
Find h such that -h**3/3 + 3536*h**2/3 + 3539*h/3 - 2358 = 0.
-2, 1, 3537
Factor -5*r**3 - 15225*r**2 - 15210*r + 30440.
-5*(r - 1)*(r + 2)*(r + 3044)
Solve -6*g**2/7 + 54*g/7 + 3480/7 = 0 for g.
-20, 29
Find s, given that -4*s**4 + 224*s**3 - 3504*s**2 + 2304*s + 193536 = 0.
-6, 14, 24
Factor 4*q**2/3 + 267304*q/3 + 4465714276/3.
4*(q + 33413)**2/3
Factor 2*f**5 - 23258*f**4 - 93056*f**3 - 93064*f**2.
2*f**2*(f - 11633)*(f + 2)**2
Let j**2 + 219908*j + 12089882116 = 0. What is j?
-109954
What is v in -21*v**5/8 + 297*v**4/8 - 651*v**3/4 + 615*v**2/4 + 2475*v/8 - 375/8 = 0?
-1, 1/7, 5
Factor 2*g**3/9 - 1370*g**2/3 - 16466*g/9 - 4118/3.
2*(g - 2059)*(g + 1)*(g + 3)/9
Solve -5*i**4 - 165*i**3 + 1770*i**2 - 4960*i + 3360 = 0 for i.
-42, 1, 4
Find j, given that 5*j**4 - 490*j**3 - 2615*j**2 + 60400*j - 178500 = 0.
-14, 5, 102
Factor -2*r**3/5 - 33626*r**2/5 - 28244144*r + 198038680.
-2*(r - 7)*(r + 8410)**2/5
Factor -2*j**2/7 + 87578*j/7 + 87580/7.
-2*(j - 43790)*(j + 1)/7
Let 4*x**5 + 3240*x**4 + 678068*x**3 + 8771984*x**2 - 19591152*x + 10137856 = 0. Calculate x.
-398, -16, 1
Find l such that 4*l**2 + 382392*l + 9138977604 = 0.
-47799
Factor -2*t**3 - 1244*t**2 + 63168*t - 771840.
-2*(t - 24)**2*(t + 670)
Factor 3*q**3/2 + 20043*q**2/2 + 33265377*q/2 - 707439663/2.
3*(q - 21)*(q + 3351)**2/2
Let 7*h**5/3 - 194003*h**4/3 + 1792873645*h**3/3 - 5530661001925*h**2/3 + 53552298482000*h/3 + 15752181057500/3 = 0. Calculate h.
-2/7, 10, 9235
Factor 243*f**4 + 864*f**3 - 1014*f**2 - 3168*f + 3267.
3*(f + 3)**2*(9*f - 11)**2
Factor -4*w**3/9 - 3008*w**2/9 - 180224*w/3 + 1048576.
-4*(w - 16)*(w + 384)**2/9
Determine i, given that -95*i**5 - 44940*i**4 - 2365*i**3 = 0.
-473, -1/19, 0
Factor t**5/4 + 253*t**4/4 + 10709*t**3/2 + 153342*t**2 + 137592*t - 296352.
(t - 1)*(t + 2)*(t + 84)**3/4
Suppose -2*w**2/3 - 13040*w - 63765600 = 0. Calculate w.
-9780
Find v, given that v**4/2 + 223*v**3/2 + 2785*v**2/2 - 29343*v/2 + 13167 = 0.
-209, -21, 1, 6
Suppose -5*a**3 - 1155*a**2 - 10030*a - 8880 = 0. Calculate a.
-222, -8, -1
Determine k, given that k**3/6 + 27*k**2/2 - 180*k + 558 = 0.
-93, 6
Suppose 7*q**2/5 - 605127*q/5 - 172894/5 = 0. What is q?
-2/7, 86447
Factor 3*o**3 + 1863*o**2 + 1860*o.
3*o*(o + 1)*(o + 620)
Suppose -2*n**5/5 + 488*n**4/5 - 31622*n**3/5 + 222296*n**2/5 + 31624*n/5 - 222784/5 = 0. Calculate n.
-1, 1, 8, 118
Let w**2 + 4882*w - 102963 = 0. What is w?
-4903, 21
Factor 3*d**2 - 198678*d - 198681.
3*(d - 66227)*(d + 1)
Determine k, given that 2*k**2 + 12186*k + 24364 = 0.
-6091, -2
Find f, given that -2*f**5/11 + 8*f**4/11 + 918*f**3/11 - 932*f**2/11 - 1840*f/11 = 0.
-20, -1, 0, 2, 23
Factor 4*j**4/7 + 64*j**3/7 + 372*j**2/7 + 936*j/7 + 864/7.
4*(j + 3)**2*(j + 4)*(j + 6)/7
Factor 3*f**4/2 + 14625*f**3 + 71267619*f**2/2 - 71311500*f + 35663064.
3*(f - 1)**2*(f + 4876)**2/2
Factor 4*v**2/7 + 64*v + 4080/7.
4*(v + 10)*(v + 102)/7
What is r in -2*r**4 - 494*r**3/3 - 2200*r**2/3 + 20168*r/3 - 12320/3 = 0?
-77, -10, 2/3, 4
Factor 1770*z**3 + 1950545*z**2 + 537379280*z + 1518005.
5*(z + 551)**2*(354*z + 1)
Let -y**5/5 + 16*y**4/5 + 56*y**3 - 1696*y**2/5 - 30288*y/5 - 88704/5 = 0. What is y?
-8, -6, 14, 22
Factor -4*x**2 + 3184*x + 12800.
-4*(x - 800)*(x + 4)
Solve -12*m**3 - 83615*m**2/2 - 36413026*m + 1517282 = 0.
-1742, 1/24
Let -2*k**3/15 + 132*k**2/5 - 1918*k/15 - 772/5 = 0. What is k?
-1, 6, 193
Factor -3*z**2/5 + 599571*z/5 + 359748.
-3*(z - 199860)*(z + 3)/5
Let 266*f**3/5 + 317530*f**2 - 620768*f/5 + 47752/5 = 0. Calculate f.
-5969, 2/19, 2/7
Let 4*n**4/7 - 24712*n**3/7 + 296112*n**2/7 - 887904*n/7 = 0. Calculate n.
0, 6, 6166
Suppose 9*h**5 + 285099*h**4 + 3010772088*h**3 + 10603268185176*h**2 + 38844203270352*h + 21184463900016 = 0. Calculate h.
-10558, -3, -2/3
Factor -3*w**2 - 786*w + 197349.
-3*(w - 157)*(w + 419)
Solve -7*l**5/10 - 5359*l**4 + 444349*l**3/10 - 624532*l**2/5 + 643758*l/5 - 137952/5 = 0 for l.
-7664, 2/7, 2, 3
Solve q**2 + 102*q - 10855 = 0 for q.
-167, 65
Factor 2*h**3/7 - 502*h**2/7 - 46168*h/7 + 20424.
2*(h - 322)*(h - 3)*(h + 74)/7
Factor -4*k**3 - 4948*k**2 + 24824*k - 19872.
-4*(k - 4)*(k - 1)*(k + 1242)
Factor y**2/3 - 85*y/3 - 3542.
(y - 154)*(y + 69)/3
Factor -3*p**2 + 963360*p + 963363.
-3*(p - 321121)*(p + 1)
Let -10*z**3 + 26344*z**2 + 227334*z - 95148 = 0. What is z?
-9, 2/5, 2643
Let -2*a**4 - 1356*a**3 + 8190*a**2 - 12304*a + 5472 = 0. What is a?
-684, 1, 4
Factor -2*z**4/3 + 732*z**3 - 204544*z**2 + 5918720*z/3.
-2*z*(z - 544)**2*(z - 10)/3
Determine m so that -39*m**3/4 + 1363*m**2/4 - 1837*m/2 - 48 = 0.
-2/39, 3, 32
Determine k, given that -60*k**4 - 715*k**3 + 19565*k**2 - 1565*k - 1625 = 0.
-25, -1/4, 1/3, 13
Let -3*y**2 + 1545*y - 31122 = 0. What is y?
21, 494
Solve 6*y**3 + 30866*y**2 + 39701392*y + 13230368 = 0 for y.
-2572, -1/3
Factor 5*m**2 - 1640*m + 8075.
5*(m - 323)*(m - 5)
Factor 3*i**3 + 14454*i**2 + 14451*i.
3*i*(i + 1)*(i + 4817)
Let -v**5/8 + 29*v**4 - 141*v**3 - 797*v**2/4 + 1129*v/8 + 681/4 = 0. What is v?
-1, 1, 6, 227
Solve 15*i**3/2 + 3918021*i**2/2 + 255846967197*i/2 - 153509590809/2 = 0 for i.
-130601, 3/5
Factor 3*m**2 + 259824*m + 1039248.
3*(m + 4)*(m + 86604)
Factor 2*a**2 - 436*a + 3360.
2*(a - 210)*(a - 8)
Factor 2*u**3/19 - 28*u**2/19 - 234*u/19 + 1620/19.
2*(u - 18)*(u - 5)*(u + 9)/19
Let 169*p**2/3 + 1116440*p/3 + 1843843600/3 = 0. Calculate p.
-42940/13
Factor -2*x**3 - 60*x**2 + 494*x - 888.
-2*(x - 4)*(x - 3)*(x + 37)
Solve -2*s**3/9 - 238*s**2/9 - 410*s/3 + 6734 = 0 for s.
-111, -21, 13
What is p in -3*p**2/5 + 49107*p + 491082/5 = 0?
-2, 81847
Find b, given that b**5 - 14*b**4 - 137*b**3 + 1162*b**2 + 9604*b + 13720 = 0.
-7, -5, -2, 14
Let 1764*g**3 + 2783676*g**2 + 132553*g + 1578 = 0. Calculate g.
-1578, -1/42
Find y, given tha