6
Solve 4*d**4 - 288*d**3 + 3428*d**2 + 8952*d - 12096 = 0.
-3, 1, 18, 56
Determine d so that -210*d**5 + 2578*d**4 - 6782*d**3 + 5414*d**2 - 928*d - 72 = 0.
-2/35, 1/3, 1, 2, 9
What is h in -h**4/2 - 35*h**3 + 6716*h**2 - 119197*h - 6783735/2 = 0?
-161, -15, 53
Factor 12*w**3/5 + 42648*w**2/5 + 42639*w/5 + 10659/5.
3*(w + 3553)*(2*w + 1)**2/5
Let 9*p**3 + 1527*p**2 - 22044*p - 15372 = 0. What is p?
-183, -2/3, 14
What is b in 4*b**2 + 4508*b + 9000 = 0?
-1125, -2
Determine q, given that 3*q**2/5 + 397269*q/5 + 397266/5 = 0.
-132422, -1
What is t in 130*t**3 + 35105*t**2 + 2370600*t + 91125 = 0?
-135, -1/26
Solve 5*y**2 - 88275*y - 883250 = 0.
-10, 17665
Factor b**4 - 335*b**3 - 338*b**2 + 672*b.
b*(b - 336)*(b - 1)*(b + 2)
Factor -5*m**4 + 1210*m**3 - 75585*m**2 + 287980*m - 283220.
-5*(m - 119)**2*(m - 2)**2
Factor 35*k**2 - 111345*k + 31810.
5*(k - 3181)*(7*k - 2)
Suppose -4*w**3 + 47008*w**2 - 2342900*w + 29255000 = 0. What is w?
25, 11702
Factor -2*k**2 - 5050*k + 734988.
-2*(k - 138)*(k + 2663)
Suppose -3*y**3/4 + 117*y**2 - 18711*y/4 + 17787/2 = 0. Calculate y.
2, 77
Determine p so that 40*p**5/3 - 1495*p**4/3 + 13955*p**3/3 - 27545*p**2/3 + 6335*p - 1320 = 0.
3/8, 1, 11, 24
Determine d so that 14*d**5/5 + 356*d**4/5 - 412*d**3/5 - 1096*d**2/5 + 398*d/5 + 148 = 0.
-185/7, -1, 1, 2
Suppose d**3/3 + 1594*d**2/3 + 531*d = 0. Calculate d.
-1593, -1, 0
Solve -4*i**2 + 125152*i + 500672 = 0.
-4, 31292
Find z, given that 5*z**2 - 154410*z + 1192122405 = 0.
15441
Factor 3*i**3 + 1570362*i**2 + 205504637940*i + 411002994456.
3*(i + 2)*(i + 261726)**2
Determine b, given that 5*b**2 - 28730*b + 28725 = 0.
1, 5745
Find f, given that -f**4/8 + 79*f**3/8 - 217*f**2/4 - 79*f/2 + 219 = 0.
-2, 2, 6, 73
Factor -3*j**4 + 2670*j**3 + 32364*j**2 + 97416*j.
-3*j*(j - 902)*(j + 6)**2
Factor 2*i**3 - 5694*i**2 + 17064*i.
2*i*(i - 2844)*(i - 3)
What is x in -14*x**4/9 - 40772*x**3/9 - 215138*x**2/9 - 6460*x = 0?
-2907, -5, -2/7, 0
Factor -4*i**4 + 208*i**3 + 16700*i**2 + 130536*i.
-4*i*(i - 98)*(i + 9)*(i + 37)
Factor -4*j**4 - 102812*j**3 + 308460*j**2 - 308468*j + 102824.
-4*(j - 1)**3*(j + 25706)
Suppose -1450*j**4/7 - 8140*j**3/7 + 21928*j**2/7 + 304*j/7 = 0. What is j?
-38/5, -2/145, 0, 2
Let -4*k**2/9 - 2108*k/9 - 74168/3 = 0. What is k?
-381, -146
Suppose x**3 - 2940*x**2 + 26387*x - 23448 = 0. What is x?
1, 8, 2931
Suppose 75*u**5 + 4210*u**4 + 485*u**3 - 4210*u**2 - 560*u = 0. What is u?
-56, -1, -2/15, 0, 1
Factor -2*n**2/7 - 1304572*n/7 - 212738512898/7.
-2*(n + 326143)**2/7
Factor -2*t**2/3 - 8168*t - 25018584.
-2*(t + 6126)**2/3
Find n such that -n**3/7 + 307*n**2 + n/7 - 307 = 0.
-1, 1, 2149
Factor -45*c**3 + 955*c**2 - 3270*c + 680.
-5*(c - 17)*(c - 4)*(9*c - 2)
Let -2*s**3 + 53194*s**2 - 353726800*s + 353673608 = 0. What is s?
1, 13298
Determine v, given that -2*v**4 + 160*v**3 - 2190*v**2 + 9200*v - 7168 = 0.
1, 7, 8, 64
Factor -5*r**4 - 1473095*r**3 - 144666276525*r**2 - 4735554113933245*r + 9471686904757430.
-5*(r - 2)*(r + 98207)**3
Factor -d**2/7 - 178*d - 23313/7.
-(d + 19)*(d + 1227)/7
Factor -w**3/5 + 957*w**2/5 + 4*w/5 - 3828/5.
-(w - 957)*(w - 2)*(w + 2)/5
Find z, given that 800*z**5 + 28240*z**4 - 81182*z**3 + 34550*z**2 + 16224*z + 1368 = 0.
-38, -3/20, 1, 2
What is q in 3*q**2 + 303*q - 22650 = 0?
-151, 50
Let h**2/5 - 2624*h/5 - 98457/5 = 0. What is h?
-37, 2661
Suppose 2*d**4/3 + 84140*d**3/3 + 885447074*d**2/3 + 3537750728*d = 0. What is d?
-21029, -12, 0
Find w, given that 3*w**2/7 + 2385*w/7 + 433302/7 = 0.
-514, -281
Determine o so that 3*o**5 + 243*o**4 - 4521*o**3 + 13521*o**2 + 41562*o + 23280 = 0.
-97, -1, 8, 10
Factor -3*r**2 - 127188*r + 254388.
-3*(r - 2)*(r + 42398)
Suppose -338*y**4/5 + 101244*y**3/5 - 7479698*y**2/5 - 3052896*y - 1536640 = 0. Calculate y.
-1, 1960/13
Suppose 5*q**2 - 820*q - 32505 = 0. Calculate q.
-33, 197
Find h such that -2610*h**5 - 8799*h**4/2 - 3645*h**3/2 - 33*h**2 = 0.
-1, -2/3, -11/580, 0
Let 3*n**5/5 - 51*n**4/5 - 2334*n**3 + 11766*n**2/5 + 11667*n/5 - 2343 = 0. Calculate n.
-55, -1, 1, 71
Factor 6*j**3 - 2440*j**2 + 1592*j + 12992.
2*(j - 406)*(j + 2)*(3*j - 8)
Factor 24334*o**4 - 58119114*o**3 + 22739778*o**2 - 2965950*o + 128952.
2*(o - 2388)*(23*o - 3)**3
Let 3*w**5 - 1098*w**4 + 18987*w**3 - 67860*w**2 = 0. What is w?
0, 5, 13, 348
Determine f so that 4*f**3 - 688*f**2 - 18916*f + 19600 = 0.
-25, 1, 196
Factor 2*d**3 - 12082*d**2 + 18252880*d - 18240800.
2*(d - 3020)**2*(d - 1)
Suppose 2*m**5 + 1760*m**4 + 3504*m**3 - 7040*m**2 - 14048*m = 0. Calculate m.
-878, -2, 0, 2
Determine r so that r**2/5 + 212*r + 7371/5 = 0.
-1053, -7
Solve 2*i**4/5 - 303*i**3/5 + 1038*i**2/5 - 293*i/5 - 444/5 = 0.
-1/2, 1, 3, 148
Solve -2*z**3 + 118*z**2 + 3728*z + 3608 = 0.
-22, -1, 82
Determine o so that -3*o**2/5 - 1338*o/5 + 2457 = 0.
-455, 9
Solve b**2/7 - 4*b/7 - 128 = 0.
-28, 32
Factor -2*q**4 + 468*q**3 - 18666*q**2.
-2*q**2*(q - 183)*(q - 51)
Solve 2*x**5/13 + 126*x**4/13 + 1106*x**3/13 + 2466*x**2/13 + 1484*x/13 = 0.
-53, -7, -2, -1, 0
Solve -2*h**5 - 1794*h**4 + 7250*h**3 + 37842*h**2 = 0.
-901, -3, 0, 7
Suppose u**4/7 - 1180*u**3/7 - 3*u**2/7 + 506*u - 2360/7 = 0. What is u?
-2, 1, 1180
Factor -2*v**2/7 - 4798*v/7 + 1372.
-2*(v - 2)*(v + 2401)/7
Factor -s**3/5 - 4446*s**2 + 88932*s/5 - 88936/5.
-(s - 2)**2*(s + 22234)/5
Let 20*p**4/3 - 37*p**3 - 136*p**2/3 + 379*p - 910/3 = 0. What is p?
-13/4, 1, 14/5, 5
Let -3*n**4 - 2829*n**3 - 28017*n**2 - 25191*n = 0. What is n?
-933, -9, -1, 0
Let -5*t**2 + 20970*t - 83800 = 0. What is t?
4, 4190
Factor -6*b**3 + 10264*b**2 - 4382720*b - 5861888.
-2*(b - 856)**2*(3*b + 4)
Solve -5*c**3 + 20985*c**2 - 20980*c = 0 for c.
0, 1, 4196
Find s such that 2*s**2/5 - 528*s/5 + 30976/5 = 0.
88, 176
Factor -4*j**3 + 166032*j**2 - 1328000*j.
-4*j*(j - 41500)*(j - 8)
Factor 106171592*l**2/9 + 29144*l/9 + 2/9.
2*(7286*l + 1)**2/9
Determine n, given that -2*n**4 + 184*n**3 + 5406*n**2 - 12940*n - 46000 = 0.
-25, -2, 4, 115
Determine h so that -2*h**2 + 69514*h - 347520 = 0.
5, 34752
Factor r**2 + 792620*r + 157061616100.
(r + 396310)**2
Solve -2*o**4/9 - 2404*o**3/9 - 34040*o**2 - 13703216*o/9 - 207131008/9 = 0.
-1064, -46
Find t, given that 2*t**5/21 - 15656*t**4/21 + 30607466*t**3/21 + 122602132*t**2/21 + 153319232*t/21 + 61340224/21 = 0.
-2, -1, 3916
Determine y so that 3*y**2/2 - 41352*y + 82701/2 = 0.
1, 27567
Find r such that -4*r**2 - 233580*r - 700704 = 0.
-58392, -3
Factor -5*s**4 + 15*s**3 - 20*s.
-5*s*(s - 2)**2*(s + 1)
Factor -3*n**3 + 3249*n**2 - 25605*n - 209625.
-3*(n - 1075)*(n - 13)*(n + 5)
Factor 9545*n**3 + 57260*n**2 - 152780*n + 160.
5*(n - 2)*(n + 8)*(1909*n - 2)
Factor -4*b**4 + 8*b**3 + 1516*b**2 + 9568*b.
-4*b*(b - 23)*(b + 8)*(b + 13)
Suppose -4*x**2 + 147544*x + 147548 = 0. What is x?
-1, 36887
Solve -s**3/5 - 98*s**2/5 - 371*s/5 + 94 = 0.
-94, -5, 1
Factor f**4 - 6*f**3 - 15*f**2 + 100*f.
f*(f - 5)**2*(f + 4)
Find m such that 2*m**3 + 1594*m**2 + 4768*m + 3176 = 0.
-794, -2, -1
Factor -3*a**2/5 + 1173*a/5 - 4644/5.
-3*(a - 387)*(a - 4)/5
Determine k, given that -4*k**4 + 576*k**3 + 1764*k**2 = 0.
-3, 0, 147
Factor 2*x**2/3 - 3779096*x/3 + 1785195822152/3.
2*(x - 944774)**2/3
Factor -37*s**3/2 - 19*s**2 + 221*s/2 + 3.
-(s - 2)*(s + 3)*(37*s + 1)/2
Factor 5*s**2 - 7165*s - 35950.
5*(s - 1438)*(s + 5)
Solve 5*o**2 + 39220*o - 78460 = 0 for o.
-7846, 2
Solve 7*c**5/4 - 583*c**4/4 - 2893*c**3/4 - 1037*c**2/4 + 3045*c/2 - 396 = 0.
-3, 2/7, 1, 88
Factor -4*p**2/7 - 6348*p/7 - 12680/7.
-4*(p + 2)*(p + 1585)/7
Suppose 21*j**5/5 + 132*j**4/5 + 3*j**3 - 132*j**2/5 - 36*j/5 = 0. Calculate j.
-6, -1, -2/7, 0, 1
Suppose 2*x**5 - 23708*x**4 - 189756*x**3 - 427000*x**2 - 379574*x - 118620 = 0. Calculate x.
-5, -1, 11862
Solve 2*q**4 - 180*q**3 - 11552*q**2 - 132864*q + 313344 = 0.
-24, 2, 136
Determine h so that 16*h**5/3 - 11416*h**4/3 + 2056129*h**3/3 - 7035394*h**2/3 - 3903935*h/3 - 504100/3 = 0.
-1/4, 4, 355
Find n such that -5*n**5/3 + 4672*n**4/3 - 17585*n**3 + 44268*n**2 + 33228*n = 0.
-3/5, 0, 6, 923
Find x, given that -3*x**3 + 80376*x**2 + 321543*x + 241164 = 0.
-3, -1, 26796
Factor -25*k**3 - 28335*k**2 - 7986051*k + 24213843.
-(k - 3)*(5*k + 2841)**2
Determine m so that m**4/4 - 17*m**3/4 + 7*m**2/4 + 585*m/4 = 0.
-5, 0, 9, 13
Solve 2*n**4 - 12