6
Factor 3*k**2/4 + 1214409*k + 491596406427.
3*(k + 809606)**2/4
Factor -2*u**2 + 1754*u + 50680.
-2*(u - 905)*(u + 28)
Factor 2*n**3/7 - 15902*n**2/7 - 19230416*n/7 - 5433700576/7.
2*(n - 9047)*(n + 548)**2/7
Find j, given that -3*j**3 - 2045397*j**2 = 0.
-681799, 0
Solve 2*k**2/9 - 421090*k/9 - 421096/3 = 0.
-3, 210548
What is v in 2*v**3/11 + 44606*v**2/11 - 10973168*v/11 + 671179096/11 = 0?
-22547, 122
Factor 2*c**4 - 11800*c**3 - 11806*c**2 + 23604*c.
2*c*(c - 5901)*(c - 1)*(c + 2)
Factor 2*n**3/5 + 149194*n**2/5 + 596752*n/5 + 596744/5.
2*(n + 2)**2*(n + 74593)/5
Find c such that 2*c**2 + 2350640*c + 28207392 = 0.
-1175308, -12
Suppose 2*t**3 + 4982*t**2 + 296808*t + 845640 = 0. What is t?
-2430, -58, -3
Suppose -3*b**5/4 + 4191*b**4/4 - 197775*b**3 = 0. Calculate b.
0, 225, 1172
Factor 3*y**2 - 4257*y + 1263924.
3*(y - 996)*(y - 423)
Factor 3*o**2/4 - 42711*o - 683568.
3*(o - 56964)*(o + 16)/4
Suppose -2*o**5/5 - 8682*o**4/5 + 279504*o**3/5 - 1611568*o**2/5 - 10077984*o/5 - 11334816/5 = 0. Calculate o.
-4373, -2, 18
Factor 2*t**2/7 + 11878*t/7 + 16940.
2*(t + 10)*(t + 5929)/7
Factor 2*r**3 + 3404*r**2 - 58614*r - 288792.
2*(r - 21)*(r + 4)*(r + 1719)
Solve 4*o**4/7 - 529*o**3/7 - 3544*o**2/7 + 51151*o/7 - 1794 = 0 for o.
-13, 1/4, 7, 138
Factor 5*n**2 + 1655462020*n - 1655462025.
5*(n - 1)*(n + 331092405)
Factor c**3 - 72*c**2 - 2047*c - 1974.
(c - 94)*(c + 1)*(c + 21)
Suppose -a**2 + 8625074*a - 18597975376369 = 0. Calculate a.
4312537
Factor -t**3/7 + 46850733*t**2/7 - 548747819084688*t/7 + 548747772233956/7.
-(t - 23425366)**2*(t - 1)/7
Let -2*n**3 + 3381578*n**2 - 30434056*n + 27052480 = 0. Calculate n.
1, 8, 1690780
Factor -265*u**3 + 13251*u**2 - 37415*u + 141.
-(u - 47)*(u - 3)*(265*u - 1)
Find r, given that r**5/3 + 1111*r**4/3 + 80680*r**3 - 2242000*r**2/3 + 6032384*r/3 - 1344512 = 0.
-808, -312, 1, 4
Factor 2*p**3/3 + 95242*p**2 + 30616082*p + 7389610522/3.
2*(p + 161)**2*(p + 142541)/3
What is b in -3*b**3 - 78315*b**2 + 15624579*b + 15702891 = 0?
-26303, -1, 199
Let 36*f**3 + 1440*f**2 + 4400*f = 0. What is f?
-110/3, -10/3, 0
Factor -4*j**4 + 742028*j**3 - 34419153420*j**2 + 584911181700*j.
-4*j*(j - 92745)**2*(j - 17)
Find k such that 69178*k**3 + 55065692*k**2 + 10958075096*k + 633616 = 0.
-398, -2/34589
Suppose -3*b**3/2 - 436251*b**2/2 - 15746205633*b/2 + 8257807971039/2 = 0. Calculate b.
-72967, 517
What is t in -2*t**5 + 13604*t**4 - 24185084*t**3 + 3539669784*t**2 - 17239716162*t + 20514016260 = 0?
2, 3, 155, 3321
What is d in -12*d**4/7 + 74890*d**3/7 + 537314*d**2/7 + 12496*d = 0?
-7, -1/6, 0, 6248
Find p, given that -p**2/3 - 12786199*p/3 - 51144748 = 0.
-12786187, -12
Factor -3*o**3/5 - 167802*o**2 + 6712272*o/5.
-3*o*(o - 8)*(o + 279678)/5
Suppose i**3/3 - 8330*i**2/3 + 58271*i/3 - 83230/3 = 0. Calculate i.
2, 5, 8323
Factor 4*p**3/5 + 428116*p**2/5 + 14552476*p/5 + 24737244.
4*(p + 17)**2*(p + 106995)/5
Let o**3/4 - 28709*o**2/4 + 3681470*o - 476394100 = 0. Calculate o.
260, 28189
Factor -g**2/7 + 887036*g/7 - 380157.
-(g - 887033)*(g - 3)/7
Solve 2*a**3/11 + 4800*a**2/11 + 603286*a/11 + 54408 = 0 for a.
-2267, -132, -1
Factor 2*m**2 - 12966*m - 6062796.
2*(m - 6921)*(m + 438)
What is s in s**2 - 344948*s - 1034853 = 0?
-3, 344951
Factor -5*g**4 - 587495*g**3 - 17184143120*g**2 + 4315354105620*g.
-5*g*(g - 249)*(g + 58874)**2
Determine t, given that -26*t**4/5 - 94298*t**3/5 + 7922096*t**2/5 - 1216552*t/5 = 0.
-3709, 0, 2/13, 82
Find c, given that -2*c**2/7 + 859402*c/7 - 4296960/7 = 0.
5, 429696
Solve 3*l**4/2 + 3649950*l**3 = 0 for l.
-2433300, 0
Factor 3*x**2 + 2398008*x + 479203530672.
3*(x + 399668)**2
Factor -13*w**2/3 - 19835*w/3 - 116116.
-(w + 1508)*(13*w + 231)/3
Solve 3*t**3/2 + 1383*t**2/2 - 5361681*t + 10720584 = 0 for t.
-2136, 2, 1673
Factor d**2 - 2428298*d - 2428299.
(d - 2428299)*(d + 1)
Find s such that s**5 - 5187*s**4 + 6775107*s**3 - 126135601*s**2 - 940302096*s - 1502337600 = 0.
-3, 25, 2584
Factor -3*k**3 - 8441970*k**2 - 5938769716251*k + 190049275595616.
-3*(k - 32)*(k + 1407011)**2
Solve 245*f**5 + 231490*f**4 + 428545*f**3 - 490540*f**2 - 169740*f = 0.
-943, -18/7, -2/7, 0, 1
Suppose 4*r**2 + 826810128*r - 826810132 = 0. Calculate r.
-206702533, 1
Suppose -2*n**3/15 + 1692794*n**2/5 - 214916533762*n + 644748585610/3 = 0. Calculate n.
1, 1269595
Factor 4*l**2 - 13504040*l - 81024384.
4*(l - 3376016)*(l + 6)
Factor 5*o**2 - 50598015*o + 50598010.
5*(o - 10119602)*(o - 1)
Factor -3*j**2/2 + 12010830*j + 72065007/2.
-3*(j - 8007223)*(j + 3)/2
Factor -2*d**3/3 - 176222*d**2/3 - 528612*d.
-2*d*(d + 9)*(d + 88102)/3
Find q, given that q**3 - 15070*q**2 + 8516697*q - 1226858328 = 0.
291, 14488
Determine v so that 4*v**3 + 58140*v**2 - 7389144*v = 0.
-14661, 0, 126
Factor -152129486*n**2 + 12*n.
-2*n*(76064743*n - 6)
Solve -c**4 - 269*c**3 + 132488*c**2 - 1419996*c - 1552752 = 0.
-526, -1, 12, 246
Suppose -g**3/4 + 922587*g**2/4 + 2767788*g + 8303391 = 0. Calculate g.
-6, 922599
Factor 4*g**2 + 285031016*g + 5077667505124516.
4*(g + 35628877)**2
Solve 2*d**5/17 - 2162*d**4/17 + 789908*d**3/17 - 101233220*d**2/17 + 1309903850*d/17 + 14405917750/17 = 0.
-7, 23, 355
Let c**2/3 + 78950*c/3 - 3238631/3 = 0. Calculate c.
-78991, 41
Factor -2*c**2/23 + 43078*c/23 - 5012748/23.
-2*(c - 21422)*(c - 117)/23
Suppose 28*x**3 + 38900*x**2 + 5930592*x + 1691280 = 0. Calculate x.
-1215, -174, -2/7
Solve 3*i**4/4 - 49236*i**3 + 3230863839*i**2/4 + 22702341021*i/2 - 549716026110 = 0 for i.
-34, 20, 32831
Factor 3*g**2/4 + 165315*g/4 + 826425/2.
3*(g + 10)*(g + 55095)/4
Solve 2*r**4 - 3572*r**3 + 2061570*r**2 - 388619000*r + 386561000 = 0 for r.
1, 490, 805
Suppose x**4/3 - 9223*x**3 + 62023729*x**2 + 74134987433*x/3 = 0. What is x?
-377, 0, 14023
Suppose 3*l**5 + 1430076*l**4 + 170425017066*l**3 - 340854324372*l**2 + 170427877227*l = 0. Calculate l.
-238347, 0, 1
Find z such that -14*z**3/5 - 88842*z**2/5 + 17775332*z/5 - 507504 = 0.
-6540, 1/7, 194
Find a such that -3*a**2/4 - 115101*a/4 + 230250 = 0.
-38375, 8
Factor -v**4 - 6724*v**3 - 12291108*v**2 - 3321871168*v - 244067617024.
-(v + 154)**2*(v + 3208)**2
Factor g**4 + 1493*g**3 + 538279*g**2 + 6747507*g.
g*(g + 13)*(g + 571)*(g + 909)
Find z, given that -5*z**4/3 - 210370*z**3/3 - 737522140*z**2 + 4427657480*z/3 + 17703897760/3 = 0.
-21038, -2, 4
Let -4*o**5 + 20523740*o**4 - 26326340045368*o**3 - 394900395822968*o**2 + 868779729687100*o - 447553014342500 = 0. Calculate o.
-17, 1, 2565475
Factor -3*m**3 + 15291*m**2 + 30591*m + 15297.
-3*(m - 5099)*(m + 1)**2
Find a, given that -8*a**4 - 5066*a**3 - 681900*a**2 - 3369262*a + 9506780 = 0.
-443, -185, -29/4, 2
Let -w**2/4 - 432903*w/4 - 6276673/2 = 0. Calculate w.
-432874, -29
Determine y so that 9*y**3/2 + 222704*y**2 + 114104242*y - 25367496 = 0.
-48972, -518, 2/9
Suppose 3*s**5 + 792*s**4 + 17202*s**3 - 22248*s**2 - 850101*s - 811440 = 0. Calculate s.
-240, -23, -7, -1, 7
Factor 2*f**3 - 240392*f**2 - 10099110*f - 106049916.
2*(f - 120238)*(f + 21)**2
Determine w, given that 4*w**5 + 52124*w**4 + 170870776*w**3 + 6922449096*w**2 + 13332494340*w + 6580863900 = 0.
-6495, -39, -1
Factor 2*n**4 + 324*n**3 - 47066*n**2 + 92820*n.
2*n*(n - 91)*(n - 2)*(n + 255)
Determine p so that -4*p**3 - 319500*p**2 - 98026544*p = 0.
-79567, -308, 0
Factor -3*b**3/4 - 392529*b**2/4 - 13343385*b/4 - 113411403/4.
-3*(b + 17)**2*(b + 130809)/4
Factor -a**4 + 1308*a**3 + 3931*a**2 + 2622*a.
-a*(a - 1311)*(a + 1)*(a + 2)
Determine p so that 4*p**4/9 + 1560*p**3 + 265388*p**2/9 + 27928*p = 0.
-3491, -18, -1, 0
Find p, given that -20*p**4 + 437175*p**3 - 79221185*p**2 - 99600300*p - 19941920 = 0.
-1, -1/4, 184, 21676
Factor -3*s**2 - 343228128*s - 343228125.
-3*(s + 1)*(s + 114409375)
Factor -k**3 + 6425*k**2 - 13130000*k + 8281000000.
-(k - 2600)**2*(k - 1225)
Factor 2*a**3 - 44910*a**2 + 1166646*a - 7581002.
2*(a - 22429)*(a - 13)**2
Find g such that 5*g**4 + 41481*g**3 - 1072964*g**2 + 4776948*g + 998640 = 0.
-8322, -1/5, 6, 20
Let -2*m**4 - 796*m**3 - 77878*m**2 + 78676*m = 0. What is m?
-221, -178, 0, 1
Suppose -5*o**2 - 88750*o - 1773000 = 0. Calculate o.
-17730, -20
Let -8*v**2 + 14194794*v - 3548698 = 0. Calculate v.
1/4, 1774349
Let 2*s**2/3 + 3678962*s/3 - 14715880/3 = 0. Calculate s.
-1839485, 4
Factor -q**2 - 4