ind y, given that -9*y**4 + 1761*y**3 + 141156*y**2 + 182676*y - 185040 = 0.
-60, -2, 2/3, 257
Factor -2*y**3/9 - 7214*y**2/9 + 146080*y/3 - 733400.
-2*(y - 30)**2*(y + 3667)/9
Factor -3*j**2 - 183*j + 35178.
-3*(j - 82)*(j + 143)
What is j in -j**5 - 22*j**4 + 926*j**3 - 7852*j**2 + 15995*j + 24794 = 0?
-46, -1, 7, 11
Suppose 2*f**4 + 212*f**3 - 3632*f**2 - 212*f + 3630 = 0. What is f?
-121, -1, 1, 15
What is r in -192*r**3 - 2881872*r**2 + 720477*r - 45030 = 0?
-15010, 1/8
Factor -2*u**3 - 352*u**2 + 9600*u.
-2*u*(u - 24)*(u + 200)
Factor k**4/4 - 919*k**3/2 + 844561*k**2/4.
k**2*(k - 919)**2/4
Factor -w**3 - 21*w**2 + 169*w + 189.
-(w - 7)*(w + 1)*(w + 27)
Factor r**3/5 - 30*r**2 - 931*r/5 - 156.
(r - 156)*(r + 1)*(r + 5)/5
Factor 22*a**3 - 168*a**2 + 90*a + 56.
2*(a - 7)*(a - 1)*(11*a + 4)
Factor d**4/8 - 21*d**3/8 - 141*d**2/8 + 2485*d/8 - 1725/2.
(d - 23)*(d - 5)**2*(d + 12)/8
Factor -44*b**2 - 14320*b + 28816.
-4*(b - 2)*(11*b + 3602)
Suppose 4*u**4 - 250760*u**3 - 501532*u**2 - 250768*u = 0. What is u?
-1, 0, 62692
Let 3*m**3 - 150*m**2 + 288*m = 0. Calculate m.
0, 2, 48
Factor -4*p**3 + 133632*p**2 - 1603152*p + 4809024.
-4*(p - 33396)*(p - 6)**2
Solve l**4/2 + 101*l**3 - 7993*l**2/2 + 3691*l + 7788 = 0.
-236, -1, 2, 33
Let -45*d**3/4 + 125909*d**2/2 - 240583*d/4 - 5595/2 = 0. What is d?
-2/45, 1, 5595
Solve 44*z**4 + 28*z**3 - 236*z**2 + 212*z - 48 = 0 for z.
-3, 4/11, 1
Determine k, given that 2*k**3 + 3272*k**2 + 16318*k + 13048 = 0.
-1631, -4, -1
Let -3*c**3/2 + 131521*c**2/2 - 21920*c = 0. What is c?
0, 1/3, 43840
Suppose 3*f**2 + 57309*f/2 - 85977/2 = 0. Calculate f.
-9553, 3/2
Let -2*m**5/3 + 148*m**4/3 + 310*m**3/3 - 152*m**2 = 0. What is m?
-3, 0, 1, 76
Determine r so that -2*r**3/5 - 424*r**2/5 - 4738*r - 127308/5 = 0.
-103, -6
What is g in 2*g**4 - 5190*g**3 + 2207412*g**2 - 340594632*g + 17932945104 = 0?
162, 2109
Factor -3565*r**2 + 278060*r + 780.
-5*(r - 78)*(713*r + 2)
Factor -3*w**3 + 757911*w**2 + 1515831*w + 757917.
-3*(w - 252639)*(w + 1)**2
Factor -3*p**4 - 123*p**3 - 348*p**2 - 228*p.
-3*p*(p + 1)*(p + 2)*(p + 38)
Factor -3*k**2/4 - 198531*k/4 + 198537/2.
-3*(k - 2)*(k + 66179)/4
Factor -f**5 + 16*f**4 + 3*f**3 - 50*f**2 + 32*f.
-f*(f - 16)*(f - 1)**2*(f + 2)
Let -5*x**2 + 32525*x + 717970 = 0. What is x?
-22, 6527
Suppose -2*o**3 - 40016*o**2 + 40018*o = 0. What is o?
-20009, 0, 1
Find c, given that -2*c**4/5 + 6522*c**3/5 - 103968*c**2/5 + 83072*c = 0.
0, 8, 3245
Suppose i**5/3 - 49*i**4/3 - 22*i**3/3 + 1054*i**2/3 + 407*i - 735 = 0. Calculate i.
-3, 1, 5, 49
Find a, given that -3*a**4 - 615*a**3 - 27558*a**2 - 102948*a - 100536 = 0.
-142, -59, -2
Factor -q**3/2 - 181*q**2 - 28841*q/2 + 364810.
-(q - 20)*(q + 191)**2/2
Determine z so that z**4/6 + 2*z**3/3 - 305*z**2/6 + 50*z = 0.
-20, 0, 1, 15
Factor b**2/3 - 895960*b/3 + 200686080400/3.
(b - 447980)**2/3
Factor -1415*g**3 + 530*g**2 + 4600*g.
-5*g*(g - 2)*(283*g + 460)
Factor 33075*g**3 + 10153395*g**2 - 193407*g + 921.
3*(g + 307)*(105*g - 1)**2
Factor 2*u**3 + 772*u**2 + 8270*u + 7500.
2*(u + 1)*(u + 10)*(u + 375)
Determine o so that -o**2/4 + 128*o + 5225 = 0.
-38, 550
Find c, given that -85*c**4 - 5793*c**3 - 129927*c**2 - 919931*c + 876024 = 0.
-23, 72/85
Factor 2*h**4/3 + 40*h**3/3 + 34*h**2/3 - 76*h/3.
2*h*(h - 1)*(h + 2)*(h + 19)/3
Find t such that -100*t**5 - 13000*t**4 + 26596*t**3 + 25672*t**2 - 26496*t - 12672 = 0.
-132, -1, -2/5, 1, 12/5
Solve 2*c**5 - 518*c**4 + 2038*c**3 + 518*c**2 - 2040*c = 0 for c.
-1, 0, 1, 4, 255
Factor 2*w**2/3 + 128593*w + 192889/3.
(w + 192889)*(2*w + 1)/3
Factor -n**3 + 8213*n**2 + 41096*n - 49308.
-(n - 8218)*(n - 1)*(n + 6)
Factor -3*m**4/2 - 3921*m**3/2 - 1670085*m**2/2 - 214461075*m/2 + 3701087250.
-3*(m - 28)*(m + 445)**3/2
Factor -154260*b**3 + 154256*b**2 + 4*b.
-4*b*(b - 1)*(38565*b + 1)
What is r in 4*r**4/9 - 1880*r**3/9 - 1052*r**2 - 15184*r/9 - 7600/9 = 0?
-2, -1, 475
Factor 12*p**3 - 13652*p**2 + 3880580*p + 1295044.
4*(p - 569)**2*(3*p + 1)
Determine d so that 128*d**5/5 + 16032*d**4/5 + 173986*d**3/5 - 362246*d**2/5 - 98592*d/5 - 6328/5 = 0.
-113, -14, -1/8, 2
Solve -2*q**2/9 - 502*q/9 - 332/3 = 0.
-249, -2
Solve 2*k**3/13 + 836*k**2 + 1135706*k = 0.
-2717, 0
Determine g so that 3*g**3 - 108*g**2 + 1212*g - 4032 = 0.
6, 14, 16
Let 4*m**2/9 - 35708*m/3 + 71400 = 0. Calculate m.
6, 26775
Factor -2*x**2 - 1198*x - 62756.
-2*(x + 58)*(x + 541)
Factor j**5 + 349*j**4 + 4368*j**3.
j**3*(j + 13)*(j + 336)
Suppose 147*g**3/2 + 274533*g**2 - 470709*g/2 + 50436 = 0. Calculate g.
-3736, 3/7
Solve -2*p**5/7 - 204*p**4/7 + 63758*p**3/7 - 3824392*p**2/7 + 68384160*p/7 + 72272512/7 = 0.
-257, -1, 52
Suppose -t**2/5 - 49*t - 1896/5 = 0. Calculate t.
-237, -8
Find t, given that -2*t**4/11 - 230*t**3/11 - 368*t**2 - 9256*t/11 + 13536/11 = 0.
-94, -18, -4, 1
Factor -w**4/6 - 11*w**3 + 549*w**2/2 + 15048*w - 311904.
-(w - 24)**2*(w + 57)**2/6
Factor c**3 + 66771*c**2 + 1114624995*c + 1114558225.
(c + 1)*(c + 33385)**2
Suppose -4*a**4 - 60*a**3 + 24*a**2 + 2480*a + 2400 = 0. Calculate a.
-10, -1, 6
Solve 2*v**3/5 + 172*v**2/5 - 17354*v/5 - 7076 = 0 for v.
-145, -2, 61
What is z in 2*z**2/11 - 736228*z/11 + 67753958498/11 = 0?
184057
Solve 2*f**2 - 2848*f - 28680 = 0 for f.
-10, 1434
Factor 3*l**2 + 26226*l - 842304.
3*(l - 32)*(l + 8774)
Factor -4*j**4 - 176*j**3 - 140*j**2 + 1424*j + 2064.
-4*(j - 3)*(j + 2)**2*(j + 43)
Factor 4*w**3/3 - 4*w/3.
4*w*(w - 1)*(w + 1)/3
Factor -5*v**2 - 60350*v.
-5*v*(v + 12070)
Let -6*j**4/7 + 206*j**3 - 93630*j**2/7 + 824550*j/7 - 264500/7 = 0. What is j?
1/3, 10, 115
Factor -3*i**3/4 + 2424*i**2 - 2278527*i + 493749564.
-3*(i - 1462)**2*(i - 308)/4
Factor 155*p**2/2 - 296827*p/2 + 1915.
(p - 1915)*(155*p - 2)/2
Factor -4*t**2 + 39032*t + 78080.
-4*(t - 9760)*(t + 2)
Suppose -5*a**2/3 + 70900*a/3 - 251340500/3 = 0. Calculate a.
7090
Solve 3*g**3/2 + 393*g**2/2 + 1311*g + 1116 = 0 for g.
-124, -6, -1
Determine x so that -3*x**5 - 141*x**4 + 519*x**3 + 52269*x**2 - 368016*x - 419628 = 0.
-34, -1, 11
What is v in -2*v**3/13 - 190*v**2/13 - 3064*v/13 + 3256/13 = 0?
-74, -22, 1
Solve -15*k**5/4 + 66093*k**4/4 - 64521813*k**3/4 - 18248954901*k**2/4 - 285405546384*k + 57263727843 = 0 for k.
-119, 1/5, 2322
Factor g**3 + 7035*g**2 - 28152*g + 28156.
(g - 2)**2*(g + 7039)
Factor -2*z**3 + 31386*z**2.
-2*z**2*(z - 15693)
Let -2*w**3 - 31802*w**2 - 127007184*w - 4655830176 = 0. What is w?
-7932, -37
Let -4*q**3/7 - 30356*q**2/7 - 91032*q/7 = 0. What is q?
-7586, -3, 0
Let -408*k**4 + 6556*k**3 - 31864*k**2 + 42140*k - 2744 = 0. Calculate k.
7/102, 2, 7
Factor -3*w**3 - 666*w**2 + 7725*w + 8388.
-3*(w - 12)*(w + 1)*(w + 233)
Determine s, given that -6*s**5 + 392*s**4 - 6826*s**3 + 14112*s**2 - 3960*s = 0.
0, 1/3, 2, 30, 33
Factor -2*f**3 + 582*f**2 + 9332*f - 46512.
-2*(f - 306)*(f - 4)*(f + 19)
Factor 288*a**4 - 199056*a**3 + 33170*a**2 - 1382*a.
2*a*(a - 691)*(12*a - 1)**2
Solve 2*g**2/3 + 2464*g/3 + 2458 = 0.
-1229, -3
Suppose -2*r**2/3 + 34508*r/3 + 264914 = 0. What is r?
-23, 17277
Factor 5*p**2/3 + 28585*p/3 - 28600.
5*(p - 3)*(p + 5720)/3
Find v, given that v**3 - 44*v**2 - 177*v + 5940 = 0.
-12, 11, 45
Factor -324*g**4 + 28954080*g**3 - 646872752608*g**2 + 287494711680*g - 31943697984.
-4*(g - 44682)**2*(9*g - 2)**2
Factor 3*f**2/2 + 19071*f + 38139/2.
3*(f + 1)*(f + 12713)/2
Determine s, given that 15*s**5/7 + 57*s**4 + 1458*s**3/7 - 15342*s**2/7 + 24639*s/7 - 11169/7 = 0.
-17, -73/5, 1, 3
Factor -6*l**2/7 + 2848*l + 6646/7.
-2*(l - 3323)*(3*l + 1)/7
Find v such that -v**3/6 - 1201*v**2/6 + 141185*v/6 - 1321925/2 = 0.
-1311, 55
Determine g so that -5*g**5 - 65*g**4 + 90*g**3 + 260*g**2 - 280*g = 0.
-14, -2, 0, 1, 2
Factor 3*w**2/8 + 223707*w/8 - 111855/4.
3*(w - 1)*(w + 74570)/8
Solve v**5/4 - 15*v**4/4 + 21*v**3/4 + 71*v**2/4 - 39*v/2 = 0 for v.
-2, 0, 1, 3, 13
Determine t so that t**3/3 - 2008*t**2 - 18079*t/3 - 4018 = 0.
-2, -1, 6027
Let -5*g**2 - 12545*g - 112500 = 0. Calculate g.
-2500, -9
Solve 2*f**3/13 + 94*f**2/13 + 1294*f/13 + 4370/13 = 0.
-23, -19, -5
Factor c**4 - 2881*c**3 + 2764797*c**2 - 881962555*c - 1775007362.
(c - 961)**3*(c + 2)
Factor 200*v**5 + 6440*v**4 + 77402*v**3 + 411516*v**2 + 816642*v.
2*v*(v + 9)**2*(10*v + 71)**2
Find f, given that -2*f**2 + 9024*f/5 + 5418/5 