0)*(y - 71)
Suppose -3*y**2/4 + 1782*y - 3561 = 0. Calculate y.
2, 2374
Factor -3*s**2 + 177*s + 2070.
-3*(s - 69)*(s + 10)
Suppose b**3 + 865369*b**2/2 + 46804077306*b + 23401930482 = 0. What is b?
-216342, -1/2
Factor u**3 - 11*u**2 - 700*u - 4900.
(u - 35)*(u + 10)*(u + 14)
Find m, given that -7*m**3/4 - 48655*m**2/4 - 8687*m + 3475 = 0.
-6950, -1, 2/7
Find z, given that -2*z**4/3 + 46*z**3/3 + 5686*z**2 + 5670*z = 0.
-81, -1, 0, 105
Factor 49*m**4 - 2667406*m**3 + 36302442997*m**2 - 31114909932*m + 6667375716.
(m - 27218)**2*(7*m - 3)**2
Factor -3*u**2 + 9939*u + 129714.
-3*(u - 3326)*(u + 13)
Factor -5*i**2 + 51655*i + 155010.
-5*(i - 10334)*(i + 3)
Solve 25*r**4 - 145*r**3 - 560*r**2 + 780*r + 1440 = 0.
-3, -6/5, 2, 8
Suppose 405*j**4 - 39645*j**3 + 641645*j**2 + 749925*j + 211750 = 0. Calculate j.
-5/9, 22, 77
Factor 4*h**3 + 520*h**2 - 1612*h - 2128.
4*(h - 4)*(h + 1)*(h + 133)
Factor 4*w**2/7 + 4364*w/7 + 392832/7.
4*(w + 99)*(w + 992)/7
Solve -4*z**5 - 16*z**4 + 460*z**3 - 1400*z**2 + 144*z + 2016 = 0 for z.
-14, -1, 2, 3, 6
Factor -a**3/8 - 633*a**2/4 + a/2 + 633.
-(a - 2)*(a + 2)*(a + 1266)/8
Let -c**3 - 62*c**2 + 335*c = 0. What is c?
-67, 0, 5
Factor -4*t**2 - 27772*t + 1257840.
-4*(t - 45)*(t + 6988)
Factor -2*f**3/13 + 1884*f**2/13 - 1152*f + 29888/13.
-2*(f - 934)*(f - 4)**2/13
Factor 3*w**2 - 24216*w + 48420.
3*(w - 8070)*(w - 2)
Factor -h**3/2 - 133*h**2 - 21289*h/2 - 267912.
-(h + 61)**2*(h + 144)/2
Factor b**2/6 - 37*b/3 - 76/3.
(b - 76)*(b + 2)/6
Suppose -28*x**2/5 + 15916*x - 11368/5 = 0. What is x?
1/7, 2842
Find f such that 3*f**3 - 71403*f**2 + 425044152*f - 2123436060 = 0.
5, 11898
Find s, given that -2*s**3/3 + 1660*s**2/3 - 260818*s/3 + 259160/3 = 0.
1, 209, 620
What is p in 2*p**3 - 392*p**2 - 44806*p - 1042836 = 0?
-43, 282
Determine u, given that -5*u**4 - 2105*u**3 - 230790*u**2 - 1938460*u - 2970520 = 0.
-206, -7, -2
Determine d, given that -d**3/2 + 197*d**2 - 16355*d/2 + 7981 = 0.
1, 46, 347
Find j, given that 75*j**5 - 674790*j**4 + 1516860132*j**3 + 4251312024*j**2 + 2672784000*j + 486000000 = 0.
-2, -2/5, 4500
Solve -2*a**3/3 + 1744*a**2 - 15682*a/3 + 3484 = 0 for a.
1, 2, 2613
Factor 2*n**2 - 80040*n.
2*n*(n - 40020)
Determine u so that -5*u**3/2 + 71967*u**2 + 172727*u/2 + 14394 = 0.
-1, -1/5, 28788
Factor -11*i**2/2 + 1009*i/8 + 69/8.
-(i - 23)*(44*i + 3)/8
Factor -5*n**3 + 8005*n**2 + 24060*n.
-5*n*(n - 1604)*(n + 3)
Factor 2*c**4/7 + 2170*c**3 + 30374*c**2/7 + 15186*c/7.
2*c*(c + 1)**2*(c + 7593)/7
Factor -4*c**2 + 29768*c/7 - 63660/7.
-4*(c - 1061)*(7*c - 15)/7
Determine b, given that -31*b**2/5 + 291*b/5 + 38 = 0.
-19/31, 10
Factor v**2 - 10652*v - 42624.
(v - 10656)*(v + 4)
Solve -5*s**2 - 36310*s + 1203675 = 0 for s.
-7295, 33
Determine f, given that f**4 - 7200*f**3 - 21607*f**2 - 14406*f = 0.
-2, -1, 0, 7203
Factor -2*l**3 + 409748*l**2 - 20987087680*l + 41972536384.
-2*(l - 102436)**2*(l - 2)
Solve -4*a**3/7 + 60*a**2/7 + 13572*a/7 - 54756 = 0 for a.
-63, 39
Factor 3*i**3/2 - 345*i**2/2 + 3174*i.
3*i*(i - 92)*(i - 23)/2
Factor -2*y**2/7 + 5148*y/7 + 326864/7.
-2*(y - 2636)*(y + 62)/7
Suppose 2*l**5 + 8740*l**4 + 295640*l**3 + 3437500*l**2 + 14693030*l + 11542432 = 0. Calculate l.
-4336, -11, -1
Factor c**3 - 696*c**2 + 69597*c + 19546582.
(c - 407)**2*(c + 118)
Factor -8*y**2/3 + 386990*y/3 + 96748/3.
-2*(y - 48374)*(4*y + 1)/3
Determine z, given that -2*z**3/7 - 446*z**2/7 + 155530*z/7 - 9102522/7 = 0.
-429, 103
Factor z**2 + 51*z + 50.
(z + 1)*(z + 50)
Suppose 5*v**3 - 170440*v**2 + 1533505*v + 1703950 = 0. What is v?
-1, 10, 34079
Find i such that -2*i**4 - 16452*i**3 - 33833538*i**2 = 0.
-4113, 0
Factor 2*g**3/3 - 3388*g**2/3 + 433024*g/3 - 14408384/3.
2*(g - 1558)*(g - 68)**2/3
Solve 2*a**5/5 + 206*a**4 + 41618*a**3/5 + 80154*a**2/5 + 39564*a/5 = 0 for a.
-471, -42, -1, 0
Factor -3*u**4 + 180*u**3 - 1284*u**2 + 1872*u.
-3*u*(u - 52)*(u - 6)*(u - 2)
Factor 4*l**3 + 7636*l**2 - 107492*l + 376908.
4*(l - 7)**2*(l + 1923)
Let 2*g**2 - 68020*g + 578340050 = 0. What is g?
17005
Let d**4 - 443*d**2 + 882*d - 440 = 0. Calculate d.
-22, 1, 20
Factor 3*r**2/2 + 65079*r/2 - 586197.
3*(r - 18)*(r + 21711)/2
Suppose -3*m**4/8 + 105*m**3/2 + 24309*m**2/2 - 979440*m - 130517376 = 0. What is m?
-106, 176
Factor -242*x**3 + 104764*x**2 - 11017496*x - 69928752.
-2*(x + 6)*(11*x - 2414)**2
Determine i, given that 3*i**5 - 576*i**4 - 3219*i**3 + 3675060*i**2 - 14574300*i - 18252000 = 0.
-72, -1, 5, 130
Factor -3*l**2 + 620988*l.
-3*l*(l - 206996)
Solve 6*y**5/5 - 2164*y**4/5 + 9994*y**3/5 - 9244*y**2/5 - 4272*y/5 = 0 for y.
-1/3, 0, 2, 3, 356
Factor -2052*p**2 + 3008*p.
-4*p*(513*p - 752)
Factor 2*q**5 + 1182*q**4 + 2358*q**3 + 1178*q**2.
2*q**2*(q + 1)**2*(q + 589)
Factor -12*o**2/7 - 6434*o/7 - 1072/7.
-2*(o + 536)*(6*o + 1)/7
Find y such that -3*y**5 + 330*y**4 - 5256*y**3 + 26880*y**2 - 35328*y = 0.
0, 2, 8, 92
Factor d**2 - 16525*d.
d*(d - 16525)
Determine w so that 174*w**3 - 1045*w**2 - 1212*w + 7 = 0.
-1, 1/174, 7
Factor 85*z**3 - 580*z**2 - 54335*z - 9570.
5*(z - 29)*(z + 22)*(17*z + 3)
What is q in -2*q**4 - 14180*q**3 - 25148226*q**2 - 50253920*q - 25119872 = 0?
-3544, -1
Determine z so that 2*z**3/11 - 3360*z**2/11 + 1255626*z/11 + 134106508/11 = 0.
-86, 883
What is o in -o**2/5 + 75118*o/5 - 75117/5 = 0?
1, 75117
Find f, given that -2*f**3/3 + 1022*f**2/3 + 694*f - 5130 = 0.
-5, 3, 513
Suppose 79*a**5/2 + 1265*a**4/2 + 8*a**3 = 0. Calculate a.
-16, -1/79, 0
Factor x**2/2 - 213*x - 85428.
(x - 678)*(x + 252)/2
Suppose 4*o**4 + 140*o**3 - 300*o**2 - 140*o + 296 = 0. Calculate o.
-37, -1, 1, 2
Find g such that -4*g**3 - 660*g**2 - 656*g = 0.
-164, -1, 0
Find b such that -10*b**2/9 - 1292*b/3 - 6176/9 = 0.
-386, -8/5
Factor -2*n**2/7 - 2466*n/7 + 196200/7.
-2*(n - 75)*(n + 1308)/7
Factor -l**3 + 3251*l**2 + 85033*l + 553813.
-(l - 3277)*(l + 13)**2
Find s such that 5*s**3 - 1530*s**2 - 7845*s + 21770 = 0.
-7, 2, 311
Find h, given that 2*h**3/15 + 1082*h**2/15 + 18714*h/5 + 18354/5 = 0.
-483, -57, -1
Find d, given that -3*d**5 - 801*d**4 - 53061*d**3 + 54669*d**2 + 53064*d - 53868 = 0.
-134, -1, 1
Factor 2*o**3/5 + 183498*o**2/5 + 841549302*o - 54731720186/5.
2*(o - 13)*(o + 45881)**2/5
What is c in -4*c**5/5 + 344*c**4/5 + 699*c**3/5 + 439*c**2/5 + 88*c/5 = 0?
-1, -1/2, 0, 88
Find y such that 165*y**5/7 - 18321*y**4/7 + 54456*y**3/7 - 37596*y**2/7 + 1296*y/7 = 0.
0, 2/55, 1, 2, 108
Factor -3*i**3/4 - 144*i**2 + 1173*i/4 + 873/2.
-3*(i - 3)*(i + 1)*(i + 194)/4
Factor 160*x**3 - 36244*x**2 + 14472*x.
4*x*(5*x - 2)*(8*x - 1809)
Let d**4 - 8*d**3 - 48*d**2 = 0. What is d?
-4, 0, 12
Suppose -2*j**3 + 194*j**2 - 382*j + 190 = 0. What is j?
1, 95
Let -w**2/5 - 29631*w/5 - 35550 = 0. What is w?
-29625, -6
Factor -260*n**3 - 6308*n**2 - 39072*n - 9792.
-4*(n + 12)**2*(65*n + 17)
Factor b**3/5 + 262*b**2/5 + 3249*b/5 + 2988/5.
(b + 1)*(b + 12)*(b + 249)/5
Solve -2*u**2/7 - 92*u/7 + 510/7 = 0 for u.
-51, 5
Factor -3*g**3 + 417*g**2 - 5097*g - 19125.
-3*(g - 125)*(g - 17)*(g + 3)
Suppose -2*f**4 + 11680*f**3 - 35014*f**2 - 46696*f = 0. What is f?
-1, 0, 4, 5837
Factor 2*l**3/17 + 100*l**2/17 + 474*l/17 - 2376/17.
2*(l - 3)*(l + 9)*(l + 44)/17
Let -5*n**3 - 12165*n**2 + 73145*n - 60975 = 0. What is n?
-2439, 1, 5
Let 2*u**3 + 3162*u**2 + 1241838*u - 6288490 = 0. Calculate u.
-793, 5
Factor 4*m**2 - 3076*m - 919080.
4*(m - 999)*(m + 230)
Determine j, given that j**3/4 - 2617*j**2/2 = 0.
0, 5234
Determine n, given that 2*n**3/7 - 20890*n**2/7 + 125284*n/7 - 167024/7 = 0.
2, 4, 10439
Find q, given that -q**4 + 249*q**3 - 3099*q**2 + 7271*q + 10620 = 0.
-1, 5, 9, 236
What is c in 10*c**4/3 - 496*c**3/3 + 4930*c**2/3 + 10404*c + 3888 = 0?
-4, -2/5, 27
Determine d, given that 3*d**2/7 - 159594*d/7 + 2122520403/7 = 0.
26599
Solve -2*r**2 + 55144*r - 441024 = 0 for r.
8, 27564
Determine u, given that 2*u**5/11 + 80*u**4 - 1784*u**3/11 - 7036*u**2/11 + 15894*u/11 - 7956/11 = 0.
-442, -3, 1, 3
Solve 3*i**2 + 105*i + 882 = 0 for i.
-21, -14
Solve j**4/2 - 1093*j**3/2 + 300295*j**2/2 - 891075*j/2 = 0.
0, 3, 545
Suppose -g**2/4 + 107304*g = 0. Calculate g.
0, 429216
Factor 15147027*a**3 + 1014823845*a**2 - 1806576*a + 804.
3*(a + 67)*(2247*a - 2)**2
Solve -3*m**5/8 - 75*m**4/8 - 69*m**3/2 + 525*m**2/2 - 306*m = 0.
-17, 