1/2, 3, 289
What is a in -5445*a**4 + 1065900*a**3 - 52035140*a**2 - 12661600*a - 768320 = 0?
-4/33, 98
Suppose o**2/7 - 691666*o/7 + 119600463889/7 = 0. What is o?
345833
Factor 5*x**2 + 1378360*x + 1378355.
5*(x + 1)*(x + 275671)
Determine p so that 2*p**2/9 + 6304*p/9 - 12632/3 = 0.
-3158, 6
Solve 15*w**5 + 14556*w**4 - 245865*w**3 - 100674*w**2 = 0 for w.
-987, -2/5, 0, 17
Factor 4*n**3/5 + 954*n**2/5 + 12992*n/5.
2*n*(n + 224)*(2*n + 29)/5
Let 3*i**5/4 - 1581*i**4/4 - 3213*i**3/2 + 14367*i**2/2 - 31881*i/4 + 11151/4 = 0. Calculate i.
-7, 1, 531
Determine a, given that 12*a**3 + 1048*a**2 - 708*a - 352 = 0.
-88, -1/3, 1
Let -15*p**5 + 327*p**4 - 5472*p**3/5 - 25188*p**2/5 + 22368*p/5 - 4608/5 = 0. What is p?
-3, 2/5, 8, 16
Find f, given that -f**4/5 + 4*f**3/5 + 11*f**2/5 + 6*f/5 = 0.
-1, 0, 6
Solve -4*k**2 + 36712*k + 36716 = 0.
-1, 9179
Suppose -z**2/4 + 723*z/4 + 14527 = 0. Calculate z.
-73, 796
Solve 6*v**5 + 6398*v**4 - 10764*v**3 - 89792*v**2 - 85440*v = 0.
-1068, -2, -4/3, 0, 5
Solve 3*t**3 + 216*t**2 - 4719*t - 16020 = 0 for t.
-89, -3, 20
Let -r**4/3 + 5*r**3 - 14*r**2 - 160*r/3 + 128 = 0. What is r?
-3, 2, 8
Determine f, given that -5*f**3/2 + 115*f**2/2 - 330*f + 450 = 0.
2, 6, 15
Factor -1155*y**2/2 - 36845*y/4 + 1125.
-5*(14*y + 225)*(33*y - 4)/4
Find v such that 5*v**2 + 1418110*v - 1418115 = 0.
-283623, 1
Suppose r**4/2 + 143*r**3/2 - 14047*r**2/2 + 249565*r/2 + 439449 = 0. Calculate r.
-214, -3, 37
Factor 2*v**2 + 1928*v + 7680.
2*(v + 4)*(v + 960)
Solve 2*k**2 + 7232*k + 158136 = 0.
-3594, -22
Suppose d**3/4 + 321*d**2/4 + 7200*d + 118125 = 0. What is d?
-150, -21
Factor -2*x**4 + 194*x**3 + 396*x**2.
-2*x**2*(x - 99)*(x + 2)
What is h in -h**5 + 1242*h**4 - 391792*h**3 + 3814272*h**2 - 6071296*h = 0?
0, 2, 8, 616
Suppose a**5 - 115*a**4 - 6757*a**3 - 101729*a**2 - 440760*a - 579600 = 0. What is a?
-20, -3, 161
Factor 2*v**2/5 + 2096*v/5 - 840.
2*(v - 2)*(v + 1050)/5
Find q such that -5*q**3 + 1148180*q**2 - 65915865620*q = 0.
0, 114818
Suppose 3*a**4/5 - 1059*a**3/5 - 47742*a**2/5 - 295776*a/5 + 4765824/5 = 0. What is a?
-24, 7, 394
Factor 3*c**2/4 - 93075*c/4 + 23268.
3*(c - 31024)*(c - 1)/4
Determine r so that 16*r**4 + 23332*r**3 - 181708*r**2 + 111632*r + 316656 = 0.
-1466, -1, 2, 27/4
Solve 22*u**2/3 - 49726*u/3 + 4520 = 0 for u.
3/11, 2260
What is u in 98*u**5 - 219464*u**4 + 115241442*u**3 + 8664523420*u**2 + 4922913368*u + 701927952 = 0?
-66, -2/7, 1153
Let b**3 - 73*b**2 + 206*b + 280 = 0. What is b?
-1, 4, 70
Find h, given that -3*h**3/2 - 1065*h**2/2 - 9099*h = 0.
-337, -18, 0
Factor a**4 + 339*a**3 - 340*a**2.
a**2*(a - 1)*(a + 340)
Suppose l**3/4 - 5795*l**2/4 + 2077712*l + 61478144 = 0. What is l?
-29, 2912
What is c in -2*c**3/7 - 632*c**2/7 + 634*c/7 = 0?
-317, 0, 1
Solve 2*b**5 - 84*b**4 + 696*b**3 + 3856*b**2 + 4224*b = 0 for b.
-2, 0, 22, 24
Factor -2*t**3/5 - 2772*t**2 - 110784*t/5 - 221504/5.
-2*(t + 4)**2*(t + 6922)/5
Factor -2*o**2/19 + 840*o/19 + 84672/19.
-2*(o - 504)*(o + 84)/19
Factor j**3/4 + 664*j**2 - 2659*j + 2660.
(j - 2)**2*(j + 2660)/4
Solve -2*m**2/5 + 67606*m/5 + 67608/5 = 0.
-1, 33804
Suppose -2*v**4 - 1488*v**3 + 6006*v**2 + 16468*v + 8976 = 0. What is v?
-748, -1, 6
Find a, given that 9715*a**2 - 58295*a + 30 = 0.
1/1943, 6
Factor 8*m**3 - 570*m**2 - 3554*m + 924.
2*(m - 77)*(m + 6)*(4*m - 1)
Factor 5*r**3 - 478260*r**2 + 11438066025*r - 68611179870.
5*(r - 47823)**2*(r - 6)
Solve 7*s**5 - 1227*s**4 - 114394*s**3 - 191748*s**2 + 64152*s = 0.
-66, -2, 0, 2/7, 243
Factor -x**3/5 - 97934*x**2/5 + x/5 + 97934/5.
-(x - 1)*(x + 1)*(x + 97934)/5
Factor -n**2/2 - 888559*n/2 - 444279.
-(n + 1)*(n + 888558)/2
Factor f**2/10 - 2616*f/5 + 5222.
(f - 5222)*(f - 10)/10
Solve 18*r**3 - 147957*r**2 - 320652*r - 49332 = 0.
-2, -1/6, 8222
Find d, given that -265*d**2 + 40*d + 4080 = 0.
-204/53, 4
Let 2*r**2 - 96440*r + 192872 = 0. Calculate r.
2, 48218
Factor 12*d**4 - 5638*d**3 + 5626*d**2.
2*d**2*(d - 1)*(6*d - 2813)
Factor -u**2 + 1022848*u - 261554507776.
-(u - 511424)**2
Solve -4*i**3 - 336*i**2 + 33792*i + 2849792 = 0 for i.
-88, 92
Solve 3*u**2 - 24981*u + 24978 = 0 for u.
1, 8326
Let -5*l**3 + 3095*l**2 - 6155*l - 9255 = 0. Calculate l.
-1, 3, 617
Factor -2*k**5/3 - 110*k**4 - 4800*k**3 - 64000*k**2/3.
-2*k**2*(k + 5)*(k + 80)**2/3
Factor -b**3/6 - 1469*b**2/2 - 2937*b/2 - 4405/6.
-(b + 1)**2*(b + 4405)/6
Determine o, given that -4*o**5 - 1556*o**4 + 52*o**3 + 20180*o**2 - 18672*o = 0.
-389, -4, 0, 1, 3
Factor 2*g**2 + 2230*g + 11100.
2*(g + 5)*(g + 1110)
What is r in 2*r**2/5 + 118448*r/5 + 1753741088/5 = 0?
-29612
Solve -2*l**2 + 2602*l + 721920 = 0.
-235, 1536
Factor -3*z**3 + 171324*z**2 - 2445992748*z.
-3*z*(z - 28554)**2
Let -20*t**4 - 88*t**3 - 20*t**2 + 48*t = 0. What is t?
-4, -1, 0, 3/5
Factor -48860*i**4 + 146584*i**3 - 146592*i**2 + 48872*i - 4.
-4*(i - 1)**3*(12215*i - 1)
Find g, given that -6*g**4 + 81*g**3 + 2355*g**2 - 25650*g = 0.
-19, 0, 10, 45/2
Suppose b**4/4 + 71*b**3/2 + 3191*b**2/4 - 71*b/2 - 798 = 0. What is b?
-114, -28, -1, 1
Suppose -2*y**5/11 - 38*y**4/11 + 926*y**3/11 - 3130*y**2/11 + 204*y = 0. What is y?
-34, 0, 1, 3, 11
Solve -3*z**3 - 15642*z**2 - 20389347*z = 0 for z.
-2607, 0
Factor -4*j**2 + 42948*j + 42952.
-4*(j - 10738)*(j + 1)
Factor -78*s**3 + 69*s**2 + 477*s + 54.
-3*(s - 3)*(s + 2)*(26*s + 3)
Solve -3*c**5/4 - 12*c**4 + 867*c**3/4 + 1848*c**2 + 2268*c - 4320 = 0 for c.
-24, -4, 1, 15
Factor -113*n**3/2 + 115*n**2/2 + 112*n - 2.
-(n - 2)*(n + 1)*(113*n - 2)/2
Factor 4*q**3 + 1800*q**2 + 192188*q - 193992.
4*(q - 1)*(q + 177)*(q + 274)
Find u such that 4*u**2 - 3276*u + 170912 = 0.
56, 763
Factor 50*h**4/9 + 4130*h**3/9 - 3376*h**2/3 + 680*h.
2*h*(h + 85)*(5*h - 6)**2/9
Find i, given that 4*i**5/7 - 11230*i**4 - 275166*i**3/7 - 353798*i**2/7 - 196558*i/7 - 5616 = 0.
-1, -1/2, 19656
Suppose -3*b**4/2 + 63*b**3 + 177*b**2/2 - 1062*b + 1290 = 0. What is b?
-5, 2, 43
Factor -n**2/2 - 12725*n - 25449/2.
-(n + 1)*(n + 25449)/2
Solve -10*p**2 + 14064*p - 5624 = 0 for p.
2/5, 1406
Solve 4*a**5 - 44*a**4 - 224*a**3 + 1744*a**2 + 8320*a + 6400 = 0.
-4, -1, 10
Solve -j**5/8 - 253*j**4/8 + 1039*j**3/8 + 2833*j**2/8 + 771*j/4 = 0.
-257, -1, 0, 6
Factor -51*y**2/4 - 321*y/2 + 273/4.
-3*(y + 13)*(17*y - 7)/4
Factor -4*i**3 + 548*i**2 - 23904*i + 336960.
-4*(i - 65)*(i - 36)**2
Determine m, given that -4*m**2 - 60300*m + 60304 = 0.
-15076, 1
Factor -3*l**4 + 22272*l**3 + 44556*l**2.
-3*l**2*(l - 7426)*(l + 2)
Determine v, given that 7*v**4/4 + 82*v**3 + 157*v**2/2 - 82*v - 321/4 = 0.
-321/7, -1, 1
Suppose -17*y**2/7 - 1623*y/7 + 3314/7 = 0. Calculate y.
-1657/17, 2
Factor -4*i**3 + 128608*i**2/3 - 344540828*i/3 - 229751048/3.
-4*(i - 5359)**2*(3*i + 2)/3
Determine u so that -u**3 - 3319*u**2 - 6631*u + 9951 = 0.
-3317, -3, 1
Factor 4*x**5 + 168*x**4 - 940*x**3.
4*x**3*(x - 5)*(x + 47)
What is r in 3*r**4 + 63*r**3 - 12*r**2 - 252*r = 0?
-21, -2, 0, 2
Let -i**3 - 5253*i**2 = 0. Calculate i.
-5253, 0
Factor 5*a**3 - 555*a**2 - 29450*a + 30000.
5*(a - 150)*(a - 1)*(a + 40)
Factor 1250*v**4/3 - 36350*v**3/3 + 653929*v**2/6 - 303886*v + 262086.
(v - 2)**2*(50*v - 627)**2/6
Let -5*k**2 - 245*k + 6460 = 0. What is k?
-68, 19
Factor u**4 - 251*u**3 - 11573*u**2 - 116949*u + 128772.
(u - 292)*(u - 1)*(u + 21)**2
What is t in -3*t**2 - 804*t + 10080 = 0?
-280, 12
Suppose -2*g**3/5 - 782*g**2/5 - 75254*g/5 + 232854/5 = 0. What is g?
-197, 3
Let b**3 + 41*b**2 + 456*b + 756 = 0. Calculate b.
-21, -18, -2
Suppose -218*l**4/7 + 194*l**3/7 + 6564*l**2/7 + 720*l/7 = 0. Calculate l.
-5, -12/109, 0, 6
Factor 123*y**2/4 + 45*y + 57/4.
3*(y + 1)*(41*y + 19)/4
Suppose -4*h**2 - 37708*h + 75432 = 0. Calculate h.
-9429, 2
Find i such that -2*i**5 - 122*i**4 - 1632*i**3 + 216*i**2 + 74304*i + 72576 = 0.
-42, -12, -1, 6
Find l, given that -2*l**3 + 1254*l**2 + 5040*l + 5048 = 0.
-2, 631
Find l such that 16*l**4 + 42200*l**3 + 105433*l**2 + 86964*l + 23715 = 0.
-2635, -1, -3/4
Let 4*s**2 - 1428*s + 77720 = 0. Calculate s.
67, 290
Find h such that -6*h**5 + 576938*h**4 - 2307710*h**3/3 - 961574*h**2/3 + 2307728*h/3 - 769240/3 = 0.
-1, 2/3, 1, 96155
Factor 2*m**2/5 + 13698*m/5 + 381976/5.
2*(m + 28)*(m + 6821)/5
Solve -u**5/5 + 199*u**4/5 + 1219*u**3/5 + 2249*u**2/5 + 246*u = 0.
-3, -2, -1, 