 202826
Find y such that -4*y**2 + 3713480*y - 861870856900 = 0.
464185
Factor j**3/8 - 1527117*j**2/8 - 3054237*j/8 - 1527119/8.
(j - 1527119)*(j + 1)**2/8
Factor -4*v**3/7 - 660880*v**2/7 + 94412*v.
-4*v*(v - 1)*(v + 165221)/7
Factor -2*u**2/5 - 8729152*u/5 - 17458296/5.
-2*(u + 2)*(u + 4364574)/5
Let -36667*g**4/3 - 476669*g**3/3 - 366644*g**2/3 + 880028*g/3 - 16 = 0. Calculate g.
-12, -2, 2/36667, 1
Factor -p**3/5 + 67739008*p**2/5 - 1147143368945021*p/5 + 2294286466934018/5.
-(p - 33869503)**2*(p - 2)/5
Find z such that -2*z**4/3 + 358*z**3 + 8564*z**2 + 38416*z/3 - 62720 = 0.
-21, -4, 2, 560
Factor -3*i**4 + 39450*i**3 + 631776*i**2 + 2527872*i.
-3*i*(i - 13166)*(i + 8)**2
Factor z**4/8 - 31835*z**3 + 8121860219*z**2/4 - 449587208865*z + 199442718411561/8.
(z - 127229)**2*(z - 111)**2/8
What is u in -2*u**3/11 + 10962*u**2/11 - 17453424*u/11 + 579070456 = 0?
517, 2482
What is g in 5*g**2 - 639769380*g + 20465242979279220 = 0?
63976938
Determine y, given that y**4/5 - 5578*y**3/5 + 61181*y**2/5 + 311692*y/5 + 66804 = 0.
-2, 15, 5567
Suppose 2*b**3 + 78552*b**2 + 3610218*b + 41505340 = 0. What is b?
-39230, -23
Factor -m**3/3 - 2740*m**2 - 3664331*m/3.
-m*(m + 473)*(m + 7747)/3
Solve -n**3 - 13803*n**2 - 2934792*n = 0 for n.
-13587, -216, 0
Solve -3*k**3/5 - 623583*k**2 + 6235839*k/5 - 3117921/5 = 0.
-1039307, 1
Suppose 4*i**4/3 + 13060*i**3 + 782308*i**2/3 + 1003244*i - 9462200/3 = 0. Calculate i.
-9775, -11, 2
Determine f, given that -2*f**5/7 - 848*f**4/7 - 27452*f**3/7 + 1478112*f**2/7 - 13859010*f/7 + 12409200/7 = 0.
-383, -72, 1, 15
Solve -2*u**5 - 4246*u**4 - 2276732*u**3 - 24524304*u**2 + 4967424*u + 267632640 = 0.
-1056, -10, -4, 3
Let -2*y**2 - 93947368*y - 1103263494265928 = 0. What is y?
-23486842
Find b, given that b**2/3 - 340753808*b/3 + 29028289416625216/3 = 0.
170376904
Let -2*d**2/9 + 4378690*d/3 + 13136072/9 = 0. Calculate d.
-1, 6568036
Factor -3*k**3/4 + 395289*k**2/2 + 139420512*k + 24554365440.
-3*(k - 264230)*(k + 352)**2/4
Suppose -3*p**2 - 12654*p - 1138776 = 0. Calculate p.
-4126, -92
Suppose 5*y**2/3 - 426069800*y/3 + 9076773723602000/3 = 0. What is y?
42606980
Factor t**4 + 1319270*t**3 - 3957816*t**2 + 3957818*t - 1319273.
(t - 1)**3*(t + 1319273)
Factor 2*k**3 - 7710*k**2 - 3449034*k - 365844762.
2*(k - 4269)*(k + 207)**2
Determine q so that 4*q**2 + 1364*q - 312744 = 0.
-498, 157
Suppose -b**3 + 515421*b**2 - 66414959520*b + 66414444100 = 0. Calculate b.
1, 257710
Find m such that -2*m**5/3 - 1252*m**4/3 - 29882*m**3/3 + 100960*m**2/3 - 5032*m/3 - 134624/3 = 0.
-601, -28, -1, 2
Factor -z**3/3 - 37*z**2/3 + 13616*z/3 + 27604.
-(z - 103)*(z + 6)*(z + 134)/3
Factor -n**3/5 + 879*n**2/5 + 1389696*n/5 + 71249920.
-(n - 1775)*(n + 448)**2/5
Suppose 5*k**3 - 236934005*k**2 = 0. Calculate k.
0, 47386801
Solve p**4 + 194*p**3 - 27464*p**2 - 112896*p = 0.
-288, -4, 0, 98
Solve -o**4/5 - 5478268*o**3/5 - 16434798*o**2/5 - 16434796*o/5 - 1095653 = 0.
-5478265, -1
Factor -2*q**3/5 + 1442382*q**2/5 - 2884758*q/5 + 1442378/5.
-2*(q - 721189)*(q - 1)**2/5
Let h**4/2 + 5327551*h**3 + 28382789002497*h**2/2 - 28382804985152*h + 14191405156352 = 0. Calculate h.
-5327552, 1
Factor -21*h**2 - 36779511*h - 10508430.
-3*(h + 1751405)*(7*h + 2)
Factor 3*z**2 + 2550936*z - 56122044.
3*(z - 22)*(z + 850334)
Factor -859*a**2/6 - 24913*a/3 - 116/3.
-(a + 58)*(859*a + 4)/6
Find j, given that -j**2/2 - 1722025*j - 2965370100625/2 = 0.
-1722025
Find n such that -4*n**2 - 1178864*n + 2357744 = 0.
-294718, 2
Factor l**2 - 1863*l - 1784320.
(l - 2560)*(l + 697)
Solve 4*s**5 + 39252*s**4 + 2729352*s**3 + 12783560*s**2 + 7246452*s - 22798620 = 0.
-9743, -65, -3, 1
Solve 4*r**3 + 4234220*r**2 + 42341756*r - 46575980 = 0.
-1058545, -11, 1
Determine r, given that -2*r**3/5 - 25254*r**2/5 + 836400*r - 172013368/5 = 0.
-12791, 82
Find f such that -12*f**5 - 3172*f**4 - 41924*f**3 + 267412*f**2 - 396304*f + 174000 = 0.
-250, -58/3, 1, 3
Find g, given that g**4/4 + 120*g**3 + 35007*g**2/2 + 753032*g - 24682623/4 = 0.
-249, -119, 7
Factor -7*m**3/2 + 13295*m**2/2 - 3140648*m - 14954016.
-(m - 952)**2*(7*m + 33)/2
Suppose -3*z**2 - 1141914*z - 2283816 = 0. Calculate z.
-380636, -2
Solve 6125*g**4 + 32653775*g**3 + 170572230*g**2 + 37708480*g + 2130400 = 0.
-5326, -5, -4/35
Factor w**4 + 635*w**3 - 143374*w**2 + 284200*w.
w*(w - 175)*(w - 2)*(w + 812)
Suppose 2*q**2/11 + 502092*q/11 - 89938550/11 = 0. What is q?
-251225, 179
Factor 2*h**4/3 - 56578*h**3/3 + 133763696*h**2 - 5452654944*h.
2*h*(h - 14124)**2*(h - 41)/3
Factor t**2/7 + 16914574*t/7 + 71525703400369/7.
(t + 8457287)**2/7
Find p such that 20*p**3 + 7264*p**2 + 132528*p + 148608 = 0.
-344, -18, -6/5
Suppose -3*r**5 - 62*r**4 + 8912*r**3 + 240768*r**2 - 988160*r - 2867200 = 0. Calculate r.
-40, -2, 16/3, 56
Factor 2*x**3 + 99934*x**2 - 4700824*x + 24606888.
2*(x - 41)*(x - 6)*(x + 50014)
Factor -4*x**2/5 - 44488*x/5 + 2503872/5.
-4*(x - 56)*(x + 11178)/5
Suppose 3089*q**5 - 172986*q**4 + 497441*q**3 - 327756*q**2 + 212*q = 0. Calculate q.
0, 2/3089, 1, 2, 53
What is s in 76*s**3/7 + 9494*s**2/7 + 27066*s/7 - 2196/7 = 0?
-122, -3, 3/38
Solve 2*k**2/7 + 4656*k/7 + 127080 = 0 for k.
-2118, -210
Determine k so that 30*k**4 - 4109636*k**3/23 + 16400246*k**2/23 + 20629612*k/23 + 119040/23 = 0.
-1, -2/345, 5, 5952
Suppose -5*q**2 - 5564730*q - 1548310998645 = 0. What is q?
-556473
Factor 2*o**2 - 542477164*o + 36785184182685362.
2*(o - 135619291)**2
Solve 5*r**3 - 15190*r**2 + 2042385*r = 0.
0, 141, 2897
Let -h**3/3 - 217813*h**2/3 - 3952488941*h + 114683247663 = 0. What is h?
-108921, 29
Suppose 2*u**4/5 - 1681328*u**3/5 - 6725344*u**2/5 = 0. Calculate u.
-4, 0, 840668
Determine q, given that -q**3/2 + 385169*q**2 - 74177194110*q - 148355928900 = 0.
-2, 385170
Factor 4*j**3 - 41072*j**2 + 74718720*j - 37828684800.
4*(j - 8108)*(j - 1080)**2
Determine p so that -p**2/2 - 16211*p + 4133723/2 = 0.
-32549, 127
Let 926*w**3 + 19464*w**2 - 42218*w - 828 = 0. What is w?
-23, -9/463, 2
Determine n, given that -2*n**3/11 + 16602*n**2/11 + 666488*n/11 + 600552 = 0.
-22, -18, 8341
Let 4*m**4 - 892*m**3 + 20636*m**2 + 524092*m - 7133280 = 0. What is m?
-21, 11, 40, 193
What is d in -6*d**2/7 + 38560708*d/7 - 3672448 = 0?
2/3, 6426784
Suppose -y**3 + 1122863*y**2 - 315204767760*y - 315205890624 = 0. Calculate y.
-1, 561432
Find w, given that 3*w**5 - 72489*w**4 - 1450983*w**3 + 72489*w**2 + 1450980*w = 0.
-20, -1, 0, 1, 24183
Factor 2*h**2/5 + 6744*h/5 + 207142/5.
2*(h + 31)*(h + 3341)/5
Solve 2*k**2 - 143478*k - 15806780 = 0 for k.
-110, 71849
Find h such that -2*h**3/15 + 16694518*h**2/15 + 33389042*h/15 + 16694522/15 = 0.
-1, 8347261
Let -n**5 + 593*n**4 - 29644*n**3 + 29052*n**2 = 0. Calculate n.
0, 1, 54, 538
Solve -h**3/5 + 171*h**2/5 + 16669*h/5 + 48441/5 = 0 for h.
-67, -3, 241
Determine f, given that 4*f**2 - 98169904*f = 0.
0, 24542476
Factor -3*r**3/5 + 587368068*r**2/5 - 28750103942171052*r/5.
-3*r*(r - 97894678)**2/5
Determine j so that -5*j**3 + 476760*j**2 - 11256007425*j - 5208963118430 = 0.
-454, 47903
Factor -r**2 - 27427414*r - 109709640.
-(r + 4)*(r + 27427410)
Determine d, given that 2*d**3 - 614*d**2 - 110492*d + 111104 = 0.
-128, 1, 434
Solve -2*j**4/7 + 4826236*j**3/7 - 554583698040*j**2 + 1040872631949686224*j/7 + 4163552641481804992/7 = 0 for j.
-4, 804374
Find a, given that -3*a**5/2 - 3423*a**4/2 + 498981*a**3/2 + 4185759*a**2/2 + 1841679*a = 0.
-1271, -7, -1, 0, 138
Suppose -3*r**3/2 - 4551*r**2/2 - 850491*r + 852768 = 0. What is r?
-846, -672, 1
Solve 5*m**5 + 2975*m**4 + 387785*m**3 - 16167315*m**2 + 185588550*m - 619164000 = 0 for m.
-315, 6, 13, 16
Determine l, given that -4*l**2 - 15024*l + 41335380 = 0.
-5601, 1845
Factor 4*r**3 - 26788*r**2 + 267256*r + 1497888.
4*(r - 6687)*(r - 14)*(r + 4)
Factor -r**5/4 + 332937*r**4/4 - 3661823*r**3.
-r**3*(r - 332893)*(r - 44)/4
Suppose -r**4/8 + 240*r**3 - 177941*r**2/8 - 559797*r/4 - 213174 = 0. What is r?
-3, 104, 1822
Factor 3*u**2/5 + 120358824*u/5 + 1207187209555248/5.
3*(u + 20059804)**2/5
Solve -78*c**4 + 771*c**3 + 16647*c**2 - 17340*c = 0.
-289/26, 0, 1, 20
Factor -2*h**3 - 7614*h**2 - 151680*h - 757400.
-2*(h + 10)**2*(h + 3787)
Determine h so that 3*h**3 - 1882752*h**2 - 1882773*h + 11296530 = 0.
-3, 2, 627585
Let 208*y**4