(b - 1)*(12883*b - 3)
Solve 3*k**2/2 + 85473*k + 2435211243/2 = 0.
-28491
Factor h**3/3 + 14119*h**2/3 - 141265*h/3 + 353225/3.
(h - 5)**2*(h + 14129)/3
Factor -2*r**2/17 - 972*r/17 + 21294/17.
-2*(r - 21)*(r + 507)/17
Let -3*g**3 + 15636*g**2 + 62580*g + 62592 = 0. Calculate g.
-2, 5216
Factor -b**4 - 172*b**3 + 6358*b**2 + 13228*b + 6699.
-(b - 33)*(b + 1)**2*(b + 203)
Suppose -3*o**2/7 + 3795*o/7 - 674742/7 = 0. What is o?
214, 1051
Suppose -v**3/9 + 3715*v**2/3 - 10352776*v/3 + 31047184/9 = 0. What is v?
1, 5572
What is k in 3*k**3 - 165*k**2 - 6246*k + 67392 = 0?
-32, 9, 78
Let -4*n**2 + 104708*n + 209432 = 0. What is n?
-2, 26179
What is o in -3*o**5/8 + 43317*o**4/4 - 692823*o**3/4 + 1948335*o**2/2 - 17317575*o/8 + 5411625/4 = 0?
1, 5, 28862
Factor 2*a**3/9 + 50480*a**2/9 + 318528800*a/9.
2*a*(a + 12620)**2/9
Factor -u**2/3 + 12773*u/3 + 25550/3.
-(u - 12775)*(u + 2)/3
Suppose 289*h**4/2 + 1530*h**3 + 752*h**2 - 24192*h - 50176 = 0. What is h?
-8, -56/17, 4
Let 2*i**4/13 + 1728*i**3/13 + 38316*i**2 + 48069248*i/13 + 47572866/13 = 0. What is i?
-297, -283, -1
Suppose r**2/6 + 2780*r + 11592600 = 0. Calculate r.
-8340
Find n, given that 13*n**4/10 - 53*n**3/10 - 7*n**2/2 + 237*n/10 - 9/5 = 0.
-2, 1/13, 3
Factor 2*w**2/9 - 8818*w/9 + 8816/9.
2*(w - 4408)*(w - 1)/9
Solve 5*c**5/4 + 5365*c**4/4 + 2675*c**3/2 - 2680*c**2 = 0.
-1072, -2, 0, 1
What is g in 2*g**3 + 119064*g**2 + 1772029512*g = 0?
-29766, 0
Factor 2*h**3/7 + 1178*h**2/7 + 26120*h/7 + 6792.
2*(h + 2)*(h + 21)*(h + 566)/7
Factor -4*l**2 + 673604*l + 1347224.
-4*(l - 168403)*(l + 2)
Suppose -2*t**5/3 + 692*t**4/3 - 5456*t**3/3 + 16288*t**2/3 - 21664*t/3 + 10816/3 = 0. Calculate t.
2, 338
Find q, given that -4*q**3 + 5496*q**2 - 5484*q - 10984 = 0.
-1, 2, 1373
Suppose 10404*h**2 + 30129*h - 630 = 0. Calculate h.
-35/12, 6/289
Factor 3*o**2 + 885*o + 33750.
3*(o + 45)*(o + 250)
Find u such that -2*u**4 - 742*u**3 - 31172*u**2 + 297888*u = 0.
-321, -58, 0, 8
Determine p, given that p**2 - 1376*p - 5520 = 0.
-4, 1380
Find i, given that i**2 + 23976*i - 479920 = 0.
-23996, 20
Factor -2*c**3/3 + 208*c**2 - 10974*c + 480500/3.
-2*(c - 250)*(c - 31)**2/3
Factor -f**3/5 - 33974*f**2 - 339737*f/5 - 169868/5.
-(f + 1)**2*(f + 169868)/5
Let 2*x**4/9 - 424*x**3/9 + 2678*x**2 - 19176*x + 34680 = 0. What is x?
3, 5, 102
Determine n so that -2*n**4/7 - 1252*n**3/7 - 260418*n**2/7 - 20182240*n/7 - 519708800/7 = 0.
-248, -65
Factor 3*u**4/5 - 30*u**3 + 384*u**2/5 + 43008*u/5.
3*u*(u - 32)**2*(u + 14)/5
Factor 4*t**3 - 36816*t**2 + 1466240*t.
4*t*(t - 9164)*(t - 40)
Solve -28*j**4 + 115632*j**3 + 264404*j**2 + 181800*j + 33056 = 0 for j.
-1, -2/7, 4132
Factor -5*j**2 + 22520*j - 537600.
-5*(j - 4480)*(j - 24)
Factor 4*m**4 - 916*m**3 + 67996*m**2 - 1615884*m.
4*m*(m - 89)**2*(m - 51)
Factor 28*w**2 + 2911052*w + 415864.
4*(w + 103966)*(7*w + 1)
Suppose 208*w**4/7 - 46790*w**3/7 - 2444*w**2/7 + 43626*w/7 + 5400/7 = 0. What is w?
-12/13, -1/8, 1, 225
Factor -2*r**2/9 + 1173004*r/9 - 171992298002/9.
-2*(r - 293251)**2/9
Factor -o**2 - 17*o + 3468.
-(o - 51)*(o + 68)
Let -115*f**4 + 3235*f**3 - 19525*f**2 - 45375*f - 22500 = 0. Calculate f.
-1, -20/23, 15
Let q**2/6 - 99*q/2 + 3105 = 0. Calculate q.
90, 207
Factor -2*x**2 - 123196*x - 1897156802.
-2*(x + 30799)**2
Determine k so that 5*k**4 + 605*k**3 + 8310*k**2 + 38720*k + 59360 = 0.
-106, -7, -4
Factor 5*j**2/3 + 524330*j/3 + 13746097445/3.
5*(j + 52433)**2/3
Find v such that 3*v**4/8 + 3099*v**3/8 + 56925*v**2/4 + 104577*v/2 + 50745 = 0.
-995, -34, -2
What is y in y**5/5 - 181*y**4/5 - 187*y**3/5 + 913*y**2/5 - 546*y/5 = 0?
-3, 0, 1, 182
Factor -z**3/9 + 773*z**2/9 + 136160*z/9 - 48013568/3.
-(z - 592)**2*(z + 411)/9
Let -2*v**4 - 2014*v**3 - 37704*v**2 - 157880*v + 197600 = 0. Calculate v.
-988, -10, 1
Factor 52*o**3 - 5444*o**2 - 7192*o - 1696.
4*(o - 106)*(o + 1)*(13*o + 4)
Solve -2*r**4 + 10256*r**3 - 12941472*r**2 - 530030080*r - 5341644800 = 0.
-20, 2584
Determine f so that -4*f**5 - 194*f**4/5 - 88*f**3 + 30*f**2 = 0.
-5, 0, 3/10
Factor 2*c**2/9 + 266*c/9 + 968/3.
2*(c + 12)*(c + 121)/9
Determine i, given that i**2 + 21*i - 232 = 0.
-29, 8
Solve 2*d**2/15 + 11576*d/15 - 11578/15 = 0.
-5789, 1
Factor 2*a**4 + 128*a**3 - 3504*a**2 + 23680*a - 34400.
2*(a - 10)**2*(a - 2)*(a + 86)
Let 14*s**5/5 + 11918*s**4/5 + 2579432*s**3/5 + 3661280*s**2 + 29951872*s/5 + 1424672 = 0. Calculate s.
-422, -5, -2, -2/7
Determine r so that 5*r**2 + 108815*r - 217650 = 0.
-21765, 2
Suppose -7*x**3 - 13649*x**2/6 + 14017*x/6 - 163/3 = 0. What is x?
-326, 1/42, 1
Factor 88*y**2 + 370218*y + 8414.
2*(y + 4207)*(44*y + 1)
Determine h, given that 64750*h**4 + 100040*h**3 + 39066*h**2 + 3784*h + 8 = 0.
-1, -2/5, -1/7, -2/925
Factor 4*v**5 - 236*v**4 - 252*v**3 + 700*v**2 + 1192*v + 480.
4*(v - 60)*(v - 2)*(v + 1)**3
Factor 5*g**3 - 595*g**2 + 2000*g + 34500.
5*(g - 115)*(g - 10)*(g + 6)
Solve 2*n**4/5 + 212*n**3/5 + 8424*n**2/5 + 148716*n/5 + 196830 = 0 for n.
-27, -25
Factor t**2/3 + 1274*t/3 - 11709.
(t - 27)*(t + 1301)/3
Suppose -2*o**5/17 - 2096*o**4/17 + 8416*o**3/17 - 32*o**2/17 - 33632*o/17 + 33664/17 = 0. Calculate o.
-1052, -2, 2
Solve -4*i**2 - 119768*i - 896523364 = 0 for i.
-14971
Factor 3*u**3 - 138*u**2 + 1641*u - 2754.
3*(u - 27)*(u - 17)*(u - 2)
Determine w so that 1584022005*w**2 + 355980*w + 20 = 0.
-2/17799
Find z, given that 12*z**5 + 141*z**4 + 267*z**3 - 420*z**2 = 0.
-35/4, -4, 0, 1
Determine i, given that -i**3 - 17226*i**2 + i + 17226 = 0.
-17226, -1, 1
Factor b**3 - 182*b**2 + 5797*b - 46800.
(b - 144)*(b - 25)*(b - 13)
Suppose 3*r**2 + 5529*r - 22164 = 0. Calculate r.
-1847, 4
Factor 2*p**2/3 + 16058*p/3 - 58960.
2*(p - 11)*(p + 8040)/3
Suppose 4*d**2/9 + 272*d/3 + 22016/9 = 0. What is d?
-172, -32
What is v in -2*v**2/17 - 144356*v/17 - 288704/17 = 0?
-72176, -2
Factor -2*b**2 - 3756*b + 15056.
-2*(b - 4)*(b + 1882)
Factor k**2 + 213*k + 5642.
(k + 31)*(k + 182)
Factor -y**4 - 169*y**3 + 3*y**2 + 509*y + 338.
-(y - 2)*(y + 1)**2*(y + 169)
Find p, given that 3*p**3/7 - 4125*p**2/7 - 156732*p/7 = 0.
-37, 0, 1412
Suppose -8*o**4 - 2582*o**3 - 14564*o**2 + 5742*o + 11412 = 0. What is o?
-317, -6, -3/4, 1
Let -2*w**3/5 + 7678*w**2/5 - 4604*w + 15344/5 = 0. What is w?
1, 2, 3836
What is r in -3*r**2 + 135*r - 1350 = 0?
15, 30
Factor 3*s**2 - 124776*s.
3*s*(s - 41592)
Find a, given that 3*a**5/4 + 1647*a**4/4 - 11631*a**3/4 + 24993*a**2/4 - 3753*a = 0.
-556, 0, 1, 3
Suppose l**4 - 165*l**3 + 3558*l**2 + 291844*l + 288120 = 0. What is l?
-30, -1, 98
Factor -25*p**3 - 1126*p**2 + 3555*p + 144.
-(p - 3)*(p + 48)*(25*p + 1)
Find k such that -k**3/4 + 49*k**2/2 + 119*k/4 - 495 = 0.
-5, 4, 99
What is v in v**4 - 512*v**3 + 13977*v**2 + 14490*v = 0?
-1, 0, 30, 483
Factor -2*o**2 - 27076*o - 91638722.
-2*(o + 6769)**2
Let -5*o**4/4 + 15205*o**3/4 - 5768385*o**2/2 - 8679205*o - 5791210 = 0. Calculate o.
-2, -1, 1522
Factor -2*t**2/11 - 898*t/11 - 34916/11.
-2*(t + 43)*(t + 406)/11
Let -2*h**5/13 + 144*h**4/13 - 1960*h**3/13 - 41620*h**2/13 + 695082*h/13 - 651644/13 = 0. Calculate h.
-17, 1, 14, 37
Solve 2*i**5/7 + 178*i**4 - 12666*i**3/7 - 3734*i**2/7 + 40472*i/7 - 25320/7 = 0.
-633, -2, 1, 10
Factor 5*d**2 - 8904700*d + 3964684104500.
5*(d - 890470)**2
Factor -x**2 + 18976*x - 549463.
-(x - 18947)*(x - 29)
Suppose 2*v**2 - 18786*v + 37564 = 0. What is v?
2, 9391
What is m in 36*m**5/5 + 98*m**4/5 - 446*m**3 - 334*m**2 + 874*m/5 + 252/5 = 0?
-9, -1, -2/9, 1/2, 7
Solve a**2/4 + 20359*a/4 = 0.
-20359, 0
Determine y so that y**3/5 + 429*y**2/5 - 2601*y/5 + 783 = 0.
-435, 3
Factor -x**4/3 + 56*x**3/3 + 1562*x**2/3 - 21896*x - 458643.
-(x - 51)**2*(x + 23)**2/3
Factor -2*z**2/7 - 9174*z/7 - 2620.
-2*(z + 2)*(z + 4585)/7
Solve 210*w**2 + 1469995*w - 35000 = 0.
-7000, 1/42
Solve -2*w**4/17 - 31174*w**3/17 + 62354*w**2/17 - 1834*w = 0 for w.
-15589, 0, 1
Solve -3*p**4 + 150*p**3 - 132*p**2 - 726*p - 441 = 0.
-1, 3, 49
Solve 3*i**4 + 373065*i**3 - 2238462*i**2 + 4476972*i - 2984664 = 0 for i.
-124361, 2
Determine u, given that 3*u**4 - 540*u**3 - 1095*u**2 + 540*u + 1092 = 0.
-2, -1, 1, 182
Factor -c**3/5 + 338*c**2/5 - 1339*c/5 + 1002/5.
-(c - 334)*(c - 3)*(c - 1)/5
Factor -4*b**3 + 4792*b**2 - 98684*b - 216568.
-4*(b - 1177)*(b - 23)*(b + 2)
Determine d so that 