 -41
Solve 2*f**4/3 + 23668*f**3/3 - 379046*f**2/3 + 1824704*f/3 - 774200 = 0.
-11850, 2, 7
Suppose -d**2 + 601*d + 65330 = 0. Calculate d.
-94, 695
Factor z**3/8 - 279*z**2/4 + 11357*z/8 - 5370.
(z - 537)*(z - 16)*(z - 5)/8
Suppose 8*v**5/9 + 2918*v**4/9 + 22238*v**3/9 + 4122*v**2 - 1190*v = 0. Calculate v.
-357, -5, -3, 0, 1/4
Factor -3*p**3/5 - 948*p**2/5 - 8331*p/5 - 12894/5.
-3*(p + 2)*(p + 7)*(p + 307)/5
Let -14*h**2/19 - 14642*h/19 + 2092/19 = 0. What is h?
-1046, 1/7
Solve -n**2/5 + 82*n/5 - 1197/5 = 0 for n.
19, 63
Let k**4/8 - 45*k**3/4 + 45*k**2/8 + 2915*k/2 - 1452 = 0. What is k?
-11, 1, 12, 88
Factor -3*l**2 + 78*l - 399.
-3*(l - 19)*(l - 7)
Let -2*v**2/9 + 2486*v/9 - 48920/9 = 0. Calculate v.
20, 1223
Factor -2*d**3/11 - 1290*d**2/11 - 20394*d - 5155974/11.
-2*(d + 27)*(d + 309)**2/11
Let -4*p**2 + 121036*p + 726360 = 0. Calculate p.
-6, 30265
Determine n so that 3*n**4 - 300*n**3 - 4254*n**2 - 17100*n - 21357 = 0.
-7, -3, 113
Let 4*c**4/3 + 1316*c**3/3 + 28432*c**2 - 1298880*c + 3628800 = 0. Calculate c.
-180, 3, 28
Suppose 315*a**5 + 105995*a**4 - 482615*a**3 + 546745*a**2 - 190900*a + 20460 = 0. What is a?
-341, 2/9, 2/7, 1, 3
Factor -2*o**2/17 + 376*o/17 - 15624/17.
-2*(o - 126)*(o - 62)/17
Factor -23*l**3 + 256*l**2 - 7*l - 286.
-(l - 11)*(l + 1)*(23*l - 26)
Factor -4*w**3/3 - 6524*w**2/3 - 13036*w/3 - 2172.
-4*(w + 1)**2*(w + 1629)/3
Suppose 8*p**3/3 + 5108*p**2/3 + 20336*p/3 + 6768 = 0. Calculate p.
-1269/2, -2
Factor -3*p**2/2 + 720*p + 102627/2.
-3*(p - 543)*(p + 63)/2
Find r such that 45*r**3 - 11105*r**2 + 8600*r + 2460 = 0.
-2/9, 1, 246
Solve 4*y**5 - 16732*y**4 + 17505844*y**3 - 17455668*y**2 - 34978248*y = 0 for y.
-1, 0, 2, 2091
Suppose 2*s**5/7 + 1508*s**4/7 + 314154*s**3/7 + 1546232*s**2 - 47112760*s/7 + 48393600/7 = 0. What is s?
-355, -48, 2
Let 3*s**2/2 + 270237*s + 24342678723/2 = 0. Calculate s.
-90079
Find j, given that -63*j**2/5 + 807036*j/5 - 15372 = 0.
2/21, 12810
Factor -5*q**3 - 67090*q**2 - 67085*q.
-5*q*(q + 1)*(q + 13417)
Solve -2*s**3/13 - 176*s**2/13 - 1824*s/13 = 0.
-76, -12, 0
Solve -104*b**2/23 + 12498*b + 5528/23 = 0.
-1/52, 2764
Factor -166*n**2 - 1396*n - 2928.
-2*(n + 4)*(83*n + 366)
Factor -2*m**2 + 1976*m + 21978.
-2*(m - 999)*(m + 11)
Suppose 4*l**4/7 - 13222*l**3/7 - 46334*l**2/7 + 26472*l/7 = 0. What is l?
-4, 0, 1/2, 3309
Solve -18*d**4/13 + 490*d**3/13 + 7686*d**2/13 + 22838*d/13 - 420 = 0 for d.
-7, -5, 2/9, 39
Factor 4*d**3 + 29556*d**2 - 533236*d + 503676.
4*(d - 17)*(d - 1)*(d + 7407)
Solve y**2 + 1048*y + 3135 = 0 for y.
-1045, -3
Factor n**2/6 + 4442*n + 293051/6.
(n + 11)*(n + 26641)/6
Determine i so that -2*i**3 + 2912*i**2 - 973728*i - 64012032 = 0.
-56, 756
Factor 6*k**2 + 52582*k + 691216681/6.
(6*k + 26291)**2/6
Let 3*l**4 - 100*l**3 + 745*l**2 - 700*l - 828 = 0. Calculate l.
-2/3, 2, 9, 23
Factor 3*t**5/5 + 21*t**4/5 - 18*t**3/5 - 30*t**2 - 177*t/5 - 63/5.
3*(t - 3)*(t + 1)**3*(t + 7)/5
Suppose 2*b**3 + 58*b**2 - 264*b = 0. Calculate b.
-33, 0, 4
Factor -q**4/3 + 18566*q**3/3 - 86526121*q**2/3 + 1089304352*q - 10327210752.
-(q - 9264)**2*(q - 19)**2/3
Factor 5*c**2 - 4445*c + 13290.
5*(c - 886)*(c - 3)
Factor -25*g**3 - 1794*g**2 - 4667*g + 6486.
-(g - 1)*(g + 69)*(25*g + 94)
Factor -u**3/4 + 3*u**2 + 325*u/4.
-u*(u - 25)*(u + 13)/4
Determine m so that -m**5/6 + 34*m**4/3 + 289*m**3/6 - 34*m**2/3 - 48*m = 0.
-4, -1, 0, 1, 72
Determine m so that -971*m**3/4 - 1214*m**2 - 3889*m/4 - 1 = 0.
-4, -1, -1/971
Factor -4*v**3 - 7724*v**2 + 761400*v.
-4*v*(v - 94)*(v + 2025)
Determine z so that z**4 + 551*z**3 + 2192*z**2 + 2188*z = 0.
-547, -2, 0
Factor 4*q**4 + 758504*q**3 + 47943773664*q**2 + 1010127366821144*q - 1010175311353316.
4*(q - 1)*(q + 63209)**3
Factor -u**4/3 + 49*u**3/3 - 160*u**2 + 1364*u/3 - 1184/3.
-(u - 37)*(u - 8)*(u - 2)**2/3
Factor -2*g**2 - 946*g + 50016.
-2*(g - 48)*(g + 521)
What is k in -3*k**4 - 1251*k**3 - 134703*k**2 - 889905*k - 756450 = 0?
-205, -6, -1
Suppose 6*i**5 - 62*i**4 - 1276*i**3 - 1620*i**2 + 4086*i - 1134 = 0. Calculate i.
-9, -3, 1/3, 1, 21
Factor -4*u**2 + 1040*u + 3156.
-4*(u - 263)*(u + 3)
Solve -c**2/3 + 64771*c/3 + 64772/3 = 0.
-1, 64772
Factor -2*w**3/3 + 246*w**2 + 6032*w/3.
-2*w*(w - 377)*(w + 8)/3
Suppose -y**4/4 + 415*y**3/4 - 381*y**2/2 - 6568*y - 16520 = 0. What is y?
-4, 10, 413
What is w in 3*w**3 + 76242*w**2 - 152496*w = 0?
-25416, 0, 2
Determine p so that -3*p**4/2 - 17747*p**3/4 - 14783*p**2/4 + 5915*p/4 + 2957/4 = 0.
-2957, -1, -1/3, 1/2
Solve w**2/4 + 138*w + 1647/4 = 0 for w.
-549, -3
Solve 18*u**4/5 - 462*u**3/5 - 5056*u**2/5 - 1528*u/5 + 1088/5 = 0 for u.
-8, -2/3, 1/3, 34
What is h in 2*h**4/9 - 38*h**3/9 - 2*h**2/3 + 110*h/9 + 76/9 = 0?
-1, 2, 19
Solve 3*y**5/5 + 105*y**4 + 8301*y**3/5 + 38739*y**2/5 + 10932*y + 4740 = 0.
-158, -10, -5, -1
Factor 3*h**4 - 576*h**3 + 2241*h**2 + 2820*h.
3*h*(h - 188)*(h - 5)*(h + 1)
Factor g**2/5 - 47289*g + 236444/5.
(g - 236444)*(g - 1)/5
Factor 3*x**2/5 - 3621*x/5 - 14532/5.
3*(x - 1211)*(x + 4)/5
What is r in -4*r**3/5 - 196*r**2/5 - 312*r = 0?
-39, -10, 0
Suppose t**2/8 + 2651*t/4 - 1326 = 0. What is t?
-5304, 2
Factor 121*y**2/2 + 151369*y/6 - 139.
(y + 417)*(363*y - 2)/6
Let 5*q**2 - 1015*q + 2010 = 0. What is q?
2, 201
Factor 2*h**3/5 + 672*h**2/5.
2*h**2*(h + 336)/5
Let 5*x**2 - 4361855*x + 4361850 = 0. What is x?
1, 872370
Factor u**2 - 41604*u - 208045.
(u - 41609)*(u + 5)
What is u in 2*u**4/9 - 1820*u**3/9 - 7304*u**2/9 - 7312*u/9 = 0?
-2, 0, 914
Solve v**5/8 + 23*v**4/8 - 7*v**3/8 - 167*v**2/8 - 69*v/4 = 0 for v.
-23, -2, -1, 0, 3
Factor -p**2 + 378*p - 1125.
-(p - 375)*(p - 3)
Factor -f**2/4 - 4783*f/4 + 1196.
-(f - 1)*(f + 4784)/4
Factor 3*n**3/7 - 3123*n**2.
3*n**2*(n - 7287)/7
Let 5*y**2 - 31770*y - 158975 = 0. What is y?
-5, 6359
Let -4*r**4 + 1704*r**3 - 24924*r**2 + 108824*r - 131520 = 0. What is r?
2, 5, 8, 411
Determine f, given that -f**4/3 + 38*f**3/3 - 89*f**2/3 - 548*f/3 - 140 = 0.
-2, -1, 6, 35
Factor -17032129*w**3 + 51112895*w**2 - 49528*w + 12.
-(w - 3)*(4127*w - 2)**2
Find a such that -2*a**4/15 + 5606*a**3/3 + 9344*a**2/5 = 0.
-1, 0, 14016
Factor -21*n**2 - 235*n - 44.
-(n + 11)*(21*n + 4)
Factor 23*x**3 + 625*x**2 - 1908*x + 1260.
(x - 1)*(x + 30)*(23*x - 42)
Find o such that o**4/7 - 1156*o**3/7 - 71627*o**2/7 - 70470*o/7 = 0.
-58, -1, 0, 1215
Factor -m**2/2 + 11487*m/2 - 5743.
-(m - 11486)*(m - 1)/2
Let i**3/2 - 21417*i**2/2 + 57341340*i - 57330632 = 0. Calculate i.
1, 10708
Factor -k**5 - 118*k**4 - 1428*k**3 - 6750*k**2 - 14283*k - 11340.
-(k + 3)**3*(k + 4)*(k + 105)
Factor 2*k**2 + 1025214*k - 2050436.
2*(k - 2)*(k + 512609)
Determine p, given that 69*p**4/4 + 2519*p**3/2 - 2621*p**2 - 7839*p/2 - 225/4 = 0.
-75, -1, -1/69, 3
Solve -2*c**3 - 38482*c**2 = 0 for c.
-19241, 0
Factor 2*l**2/17 + 2120*l/17 + 254472/17.
2*(l + 138)*(l + 922)/17
Factor -5*z**2 + 98810*z - 488170805.
-5*(z - 9881)**2
Determine u so that -2*u**4 + 5190*u**3 - 919212*u**2 + 56037832*u - 1148264304 = 0.
62, 2409
Factor q**3/2 + 23*q**2/2 + 167*q/2 + 385/2.
(q + 5)*(q + 7)*(q + 11)/2
Factor 3*t**3/7 + 4218*t**2/7 - 76896*t/7.
3*t*(t - 18)*(t + 1424)/7
Factor -2*t**2/7 + 902*t/7 - 9680/7.
-2*(t - 440)*(t - 11)/7
Factor 3*f**5 - 39*f**4 - 27*f**3 + 1215*f**2.
3*f**2*(f - 9)**2*(f + 5)
Factor -5*k**3 - 3600*k**2.
-5*k**2*(k + 720)
Find x such that 5*x**3 - 48495*x**2 + 48490*x = 0.
0, 1, 9698
Find n, given that -3*n**2 + 5874*n - 46800 = 0.
8, 1950
Factor -d**3 + 372*d**2 + d - 372.
-(d - 372)*(d - 1)*(d + 1)
Factor -3624*p**3 - 166671*p**2 - 1915578*p + 17457.
-3*(p + 23)**2*(1208*p - 11)
Suppose 2*d**5/5 - 80*d**4 + 4734*d**3 - 3944*d**2 - 7278176*d + 767842944/5 = 0. Calculate d.
-37, 33, 68
Factor t**3 - 190*t**2 + 3297*t - 8208.
(t - 171)*(t - 16)*(t - 3)
Solve -9*r**4/4 - 651*r**3/4 - 6249*r**2/4 - 1581*r/4 + 2013/2 = 0 for r.
-61, -11, -1, 2/3
Determine i, given that i**4/6 - 27110*i**3/3 + 122492016*i**2 + 108440*i/3 - 1469904200/3 = 0.
-2, 2, 27110
Factor -a**4 + 43*a**3 + 286*a**2 + 392*a.
-a*(a - 49)*(a + 2)*(a + 4)
Determine p so that -p**2/4 + 15229*p/2 - 231922441/4 = 0.
15229
Find s such that -150*s**3/11 + 1097490*s**2/11 + 439014*s/11 + 43902/11 = 0.
-1/5, 7317
Factor -21*f**4 + 158048*f**3 - 15052*f**2.
-f**2*(f - 7526)*(21*f - 2)
Factor -p**2/2 + 444