1, 0, 2, 18530
Find k, given that -76*k**2 - 64878*k + 679104 = 0.
-864, 393/38
Factor -y**5 - 10364*y**4 - 27048957*y**3 - 1012949622*y**2.
-y**2*(y + 38)*(y + 5163)**2
Find n, given that n**3/2 - 586*n**2 + 3467*n/2 + 23380 = 0.
-5, 8, 1169
Suppose 4*t**3 - 3216*t**2 - 168756*t + 1337504 = 0. What is t?
-56, 7, 853
Suppose 5*j**5 + 135*j**4 + 1095*j**3 + 1985*j**2 - 6000*j - 7020 = 0. Calculate j.
-13, -9, -6, -1, 2
Determine b so that 5*b**2 - 64166815*b - 64166820 = 0.
-1, 12833364
What is w in 2*w**3 - 674*w**2 - 121420*w = 0?
-130, 0, 467
Factor 3*d**3 + 990*d**2 + 59949*d + 115962.
3*(d + 2)*(d + 77)*(d + 251)
Factor c**3/3 + 10751*c**2/3 + 139624*c/3 + 107380.
(c + 3)*(c + 10)*(c + 10738)/3
Let -3*t**2/2 - 21756*t - 867840 = 0. Calculate t.
-14464, -40
Let -5*d**3/4 + 274155*d**2/4 - 6024150*d + 132478060 = 0. What is d?
44, 54743
Factor 2*u**5/3 - 55016*u**4/3 - 220128*u**3 - 2641792*u**2/3 - 3522560*u/3.
2*u*(u - 27520)*(u + 4)**3/3
Factor -2*n**2 + 15647074*n - 125176464.
-2*(n - 7823529)*(n - 8)
Factor 126662*d**3/3 + 13172846*d**2/3 + 342493840*d/3 - 5408/3.
2*(d + 52)**2*(63331*d - 1)/3
Factor -2*j**2 + 300660*j - 16830688.
-2*(j - 150274)*(j - 56)
What is c in 4*c**4 - 136048*c**3 + 9504308*c**2 - 18600488*c + 9232224 = 0?
1, 68, 33942
Determine c, given that -6*c**3/11 - 21882*c**2/11 - 7355196*c/11 + 22262688/11 = 0.
-3272, -378, 3
Factor 5*f**3 + 1950*f**2 + 20895*f + 18950.
5*(f + 1)*(f + 10)*(f + 379)
Factor -4*b**2 - 31477232*b - 61926008398864.
-4*(b + 3934654)**2
Suppose j**2 - 16024308*j + 64194611719716 = 0. What is j?
8012154
Suppose 2*p**2 + 24096356*p + 72579296559842 = 0. Calculate p.
-6024089
Let -5*p**4/3 - 40012445*p**3/3 - 40012435*p**2 - 120037295*p/3 - 40012430/3 = 0. What is p?
-8002486, -1
Let 1231*j**3 + 1266697*j**2 - 1269988*j + 2060 = 0. Calculate j.
-1030, 2/1231, 1
Factor -5*n**2/4 + 53705*n/2 + 49137360.
-5*(n - 23178)*(n + 1696)/4
Determine j so that 4*j**2 - 530546624*j + 17592482514862336 = 0.
66318328
Factor -2*t**2 + 243868*t - 243866.
-2*(t - 121933)*(t - 1)
Factor 125316*n**4 - 87792*n**3 - 448364*n**2 + 456968*n.
4*n*(n + 2)*(177*n - 239)**2
Factor -4*p**4 - 57976*p**3 - 296843904*p**2 - 650061013896*p - 519739764227964.
-4*(p + 2751)**3*(p + 6241)
Find j such that j**3/5 - 104044*j**2/5 + 2703477109*j/5 + 146291313654/5 = 0.
-54, 52049
Solve -2*z**5/15 + 44*z**4/15 + 692*z**3/15 - 7664*z**2/15 - 1278*z + 1740 = 0.
-15, -3, 1, 10, 29
Determine a, given that -2*a**3 - 4907876*a**2 - 53986342*a + 127604204 = 0.
-2453927, -13, 2
Factor -2*w**2 - 11594*w + 1930716.
-2*(w - 162)*(w + 5959)
Let 15*k**5/7 - 477*k**4/7 + 2592*k**3/7 + 20364*k**2/7 + 1728*k/7 - 15552/7 = 0. Calculate k.
-4, -1, 4/5, 18
Factor -h**4 + 211313*h**3 - 2113055*h**2 + 5282575*h.
-h*(h - 211303)*(h - 5)**2
Factor 21*u**2 + 4727670*u + 675381.
3*(u + 225127)*(7*u + 1)
Find i such that -3*i**2 + 451947*i - 60507030 = 0.
134, 150515
Factor -2*g**3/11 - 45521746*g**2/11.
-2*g**2*(g + 22760873)/11
Factor -3*c**2 - 15870357*c.
-3*c*(c + 5290119)
Suppose -3*r**4 - 235776*r**3 - 2121729*r**2 + 943284*r + 22631904 = 0. What is r?
-78583, -8, -4, 3
Factor -3*p**2/2 - 6417*p/2 + 11069475.
-3*(p - 1850)*(p + 3989)/2
Factor 2*m**2/3 + 11336*m/3 + 157528.
2*(m + 42)*(m + 5626)/3
Solve 3*c**2/2 + 8568087*c + 24470704946523/2 = 0 for c.
-2856029
Let -5*t**5 - 100*t**4 + 297495*t**3 - 25648650*t**2 - 52488000*t = 0. Calculate t.
-288, -2, 0, 135
Factor q**2/10 - 118967*q/10 - 118977.
(q - 118977)*(q + 10)/10
Determine j, given that j**3 - 97157*j**2 - 4276801*j - 4179643 = 0.
-43, -1, 97201
Factor -4*d**2 - 4363944*d - 144005796.
-4*(d + 33)*(d + 1090953)
Factor m**2/6 + 1421959*m/6 + 1658944.
(m + 7)*(m + 1421952)/6
Suppose -4*f**4/3 + 8732*f**3/3 - 913520*f**2 = 0. What is f?
0, 380, 1803
What is s in -4*s**2 + 82176892*s - 164353768 = 0?
2, 20544221
Find s, given that s**4/5 + 1366*s**3/5 - 61543*s**2 + 306348*s/5 = 0.
-1563, 0, 1, 196
Suppose -4*k**2 - 7387376*k - 3410832760336 = 0. Calculate k.
-923422
Factor -3*z**3/5 - 489*z**2 + 3130479*z/5 + 2613430521/5.
-3*(z - 1027)*(z + 921)**2/5
Factor -2*x**2 - 14695284*x - 26993921480082.
-2*(x + 3673821)**2
Factor 362*x**2/5 + 17462*x/5 + 42060.
2*(x + 25)*(181*x + 4206)/5
Factor -2*g**2 - 24557038*g + 73671132.
-2*(g - 3)*(g + 12278522)
Determine i, given that 308*i**5/3 - 19015*i**4/3 - 5024*i**3/3 + 124*i**2/3 = 0.
-2/7, 0, 1/44, 62
Factor 2*m**4/3 + 25584*m**3 + 734360432*m**2/3 - 12780845376*m + 499128380192/3.
2*(m - 26)**2*(m + 19214)**2/3
Factor 2*u**2 - 8272*u - 2832744.
2*(u - 4454)*(u + 318)
Factor -b**3 - 3611124*b**2 - 28888919*b + 32500044.
-(b - 1)*(b + 9)*(b + 3611116)
Factor -3*q**2 + 34449*q - 1612476.
-3*(q - 11436)*(q - 47)
Determine f so that -8*f**5/5 - 2402*f**4/5 - 239808*f**3/5 - 8356714*f**2/5 - 43752244*f/5 - 10419504/5 = 0.
-113, -68, -6, -1/4
Suppose -o**3/9 - 5513*o**2/3 - 844410*o - 7583152/9 = 0. What is o?
-16066, -472, -1
Suppose -5*u**2 + 9365*u + 256500 = 0. What is u?
-27, 1900
Let -b**3/4 - 242671*b**2/2 - 58883389705*b/4 + 353370230934 = 0. What is b?
-242683, 24
Factor 3*a**2/2 - 477879519*a/2.
3*a*(a - 159293173)/2
Suppose -2*z**3/13 + 37746*z**2/13 - 213961440*z/13 + 319121271400/13 = 0. What is z?
2333, 8270
Factor 3*h**3/5 - 834984*h**2/5 + 58063099968*h/5 + 5116020957696/5.
3*(h - 139208)**2*(h + 88)/5
Let -m**3 + 11004*m**2 + 55039*m + 66054 = 0. What is m?
-3, -2, 11009
Solve -2*x**2/7 + 30883564*x - 834570209674334 = 0.
54046237
Suppose 2*g**3/7 + 45624*g**2/7 + 37098726*g - 819329588 = 0. What is g?
-11417, 22
Suppose 1088*z**5/7 + 4338*z**4/7 + 3208*z**3/7 - 6*z**2 = 0. Calculate z.
-3, -1, 0, 7/544
Factor -2*r**4/3 - 11069558*r**3/3 - 6807514960488*r**2 - 12559443035811204640*r/3 - 87915100549776094336/3.
-2*(r + 7)*(r + 1844924)**3/3
Find u such that -u**3/6 - 10667*u**2/2 + 96017*u/3 - 42676 = 0.
-32007, 2, 4
Factor -p**2 + 4354*p + 536880.
-(p - 4474)*(p + 120)
Suppose i**2 + 73667654*i + 1356730811465929 = 0. Calculate i.
-36833827
Factor -3*b**2 - 9739515*b - 146092050.
-3*(b + 15)*(b + 3246490)
Let -4*f**5 - 6016*f**4 + 168*f**3 + 252416*f**2 - 385444*f - 631680 = 0. Calculate f.
-1504, -7, -1, 3, 5
Factor r**3 - 9024*r**2 - 54315*r + 1219050.
(r - 9030)*(r - 9)*(r + 15)
Solve -q**4/3 + 10711*q**3/3 - 13892759*q**2 + 68756946925*q/3 - 39357350154358/3 = 0 for q.
1258, 3151
Factor -3*p**3 + 762*p**2 + 3247884*p + 1061052696.
-3*(p - 1298)*(p + 522)**2
Factor -2*p**4 + 29072*p**3 + 87234*p**2.
-2*p**2*(p - 14539)*(p + 3)
Let 2*l**5/3 + 127*l**4/3 + 587*l**3/3 + 25*l**2 - 831*l - 702 = 0. What is l?
-117/2, -3, -1, 2
Determine p so that -p**4/11 - 1698*p**3/11 - 149393*p**2/11 + 560065404*p/11 + 560213100/11 = 0.
-1086, -1, 475
Suppose 2*m**3 + 3004*m**2 - 826778*m + 51103244 = 0. Calculate m.
-1747, 103, 142
Determine z, given that 2*z**2/9 - 1961846*z/9 + 10463008/3 = 0.
16, 980907
Factor -5*s**2/6 - 7628115*s - 45768685/6.
-5*(s + 1)*(s + 9153737)/6
Let -4*b**4 - 31572*b**3 - 8700108*b**2 + 17494948*b - 8763264 = 0. Calculate b.
-7607, -288, 1
Factor 7442*h**2 + 262300*h + 2311250.
2*(61*h + 1075)**2
Factor -3*i**2 - 121932*i + 4637748.
-3*(i - 38)*(i + 40682)
Solve -3*j**3 - 80833572*j**2 + 3*j + 80833572 = 0 for j.
-26944524, -1, 1
Factor -2*o**3 + 3419274*o**2 + 41031504*o + 123094728.
-2*(o - 1709649)*(o + 6)**2
Factor -3*b**2/4 - 15971*b/4 + 133925.
-(b + 5357)*(3*b - 100)/4
What is l in 2*l**2/21 + 97835408*l/21 + 32611802/7 = 0?
-48917703, -1
Suppose p**5 + 225*p**4 + 11810*p**3 - 99030*p**2 - 276291*p + 363285 = 0. What is p?
-117, -115, -3, 1, 9
Factor 20*t**3 - 14406588*t**2 + 2594367900540*t + 1556625926700.
4*(t - 360165)**2*(5*t + 3)
Factor 3*s**2 + 169519803*s - 169519806.
3*(s - 1)*(s + 56506602)
Find k such that 44*k**2/9 + 12311696*k/3 - 6715472/9 = 0.
-839434, 2/11
Determine t, given that -24370*t**4/11 + 1291586*t**3/11 - 2289508*t**2/11 - 9945216*t/11 - 9792/11 = 0.
-2, -12/12185, 4, 51
Solve 4*o**4/9 - 62704*o**3/9 - 418652*o**2/3 + 481344*o = 0.
-23, 0, 3, 15696
Solve 2*f**3/21 - 8617132*f**2/21 + 1326002425384*f/3 - 315578615915408/21 = 0 for f.
34, 2154266
Suppose 4*a**5/17 - 3522*a**4/17 - 550714*a**3/17 - 16309008*a**2/17 - 136091016*a/17 = 0. Calculate a.
-103, -18, 0, 2039/2
Determine a, given that -3*a