*(q - 2)
Let 2*m**4/11 + 2158*m**3/11 + 178020*m**2/11 = 0. What is m?
-989, -90, 0
Factor -2*y**2/9 - 3624*y - 14775048.
-2*(y + 8154)**2/9
Suppose -3*g**5 + 6312*g**4 + 6*g**3 - 12624*g**2 - 3*g + 6312 = 0. Calculate g.
-1, 1, 2104
Let 2*l**3/13 - 94758*l**2/13 + 1122337440*l/13 + 1122432200/13 = 0. Calculate l.
-1, 23690
Find q such that -4*q**5 + 616*q**4 + 13328*q**3 + 101088*q**2 + 331776*q + 400896 = 0.
-6, -4, 174
Suppose g**4/6 - 161*g**3/3 + 1716*g**2 = 0. Calculate g.
0, 36, 286
Find a, given that -a**5 + 38*a**4 + 11175*a**3 - 630000*a**2 = 0.
-112, 0, 75
Find h such that 7*h**5/4 + 6449*h**4/4 - 37057*h**3/4 + 21331*h**2/4 + 4635*h/2 = 0.
-927, -2/7, 0, 1, 5
Suppose -125*c**5 - 2885*c**4 + 1395*c**3 + 36005*c**2 - 31630*c - 2760 = 0. Calculate c.
-23, -4, -2/25, 1, 3
Suppose 3*z**5 + 146619*z**4/4 + 298626231*z**3/2 + 202891531044*z**2 + 455825038752*z + 101277871872 = 0. What is z?
-4072, -2, -1/4
Factor 2*i**3 - 1194*i**2 + 30832*i - 29640.
2*(i - 570)*(i - 26)*(i - 1)
Solve 2*g**2 + 4246*g + 46464 = 0.
-2112, -11
Factor 3*k**3 + 48*k**2 - 276*k - 720.
3*(k - 6)*(k + 2)*(k + 20)
Factor 4*c**3 - 52*c**2 - 920*c.
4*c*(c - 23)*(c + 10)
Factor -l**5/5 + 341*l**4 + 15750*l**3.
-l**3*(l - 1750)*(l + 45)/5
Solve -4*i**5/5 - 3016*i**4/5 + 4*i**3/5 + 3016*i**2/5 = 0 for i.
-754, -1, 0, 1
Suppose -5*g**3/3 - 9517*g**2 - 13586945*g - 8151025/3 = 0. What is g?
-2855, -1/5
Let -t**4/8 + 1315*t**3/4 + 13169*t**2/8 + 7905*t/4 = 0. Calculate t.
-3, -2, 0, 2635
Find f, given that 2*f**5 - 72*f**4 - 9986*f**3 + 21552*f**2 + 212904*f + 181440 = 0.
-56, -3, -1, 6, 90
Factor n**3/2 + 17332*n**2 - 381425*n/2.
n*(n - 11)*(n + 34675)/2
Factor g**4/4 + 99*g**3/2 + 197*g**2/4.
g**2*(g + 1)*(g + 197)/4
Determine g so that -g**5/3 - 10*g**4/3 + 5434*g**3/3 - 37556*g**2/3 + 26701*g - 15990 = 0.
-82, 1, 3, 65
Solve -2723*l**4 + 2719*l**3 + 2727*l**2 - 2719*l - 4 = 0.
-1, -4/2723, 1
Solve t**4/8 - 317*t**3/8 + 945*t**2/8 - 943*t/8 + 157/4 = 0 for t.
1, 314
Factor q**2 + 206*q - 627.
(q - 3)*(q + 209)
What is r in -2*r**5 + 112*r**4 + 1038*r**3 - 796*r**2 - 6496*r + 6144 = 0?
-8, -3, 1, 2, 64
Let 4*m**5/11 - 33070*m**4/11 + 68310202*m**3/11 + 170965706*m**2/11 + 34229530*m/11 - 68392900/11 = 0. Calculate m.
-2, -1, 1/2, 4135
Determine i so that -3*i**2 - 136842*i - 1560477747 = 0.
-22807
Suppose 4523*j**4/6 + 27139*j**3 + 325692*j**2 + 1303056*j + 1728 = 0. Calculate j.
-12, -6/4523
Factor -u**4/4 - 735*u**3 - 543157*u**2 - 4310040*u - 8596624.
-(u + 4)**2*(u + 1466)**2/4
Factor 2*m**2 - 5236*m + 103920.
2*(m - 2598)*(m - 20)
Let h**2 + 213753*h/4 + 26719/2 = 0. Calculate h.
-53438, -1/4
Find x, given that -x**2 + 9669*x + 29016 = 0.
-3, 9672
Let 60*g**3 + 54152*g**2 + 12340316*g + 54835472 = 0. What is g?
-449, -68/15
Find j, given that j**4/7 - 218*j**3/7 + 15756*j**2/7 - 372150*j/7 - 388125/7 = 0.
-1, 69, 75
Let -v**4/4 + 27*v**3/2 - 607*v**2/4 - 27*v/2 + 152 = 0. Calculate v.
-1, 1, 16, 38
Solve t**4 - 134*t**3 + 3912*t**2 + 134*t - 3913 = 0.
-1, 1, 43, 91
Let 5*r**5 + 15*r**4 - 10*r**3 - 30*r**2 + 5*r + 15 = 0. Calculate r.
-3, -1, 1
What is b in -722*b**3/13 + 926820*b**2/13 - 297436050*b/13 = 0?
0, 12195/19
Determine n, given that -2*n**5/9 - 26*n**4/3 + 2516*n**3/9 + 16812*n**2 + 204606*n + 188082 = 0.
-27, -1, 43
Factor 9*d**3 - 3075*d**2 + 57108*d - 36708.
3*(d - 322)*(d - 19)*(3*d - 2)
Find v, given that 9*v**5/7 + 9965*v**4/7 - 67896*v**3/7 + 64772*v**2/7 + 178272*v/7 + 35648/7 = 0.
-1114, -1, -2/9, 4
Factor -t**3/2 + 19*t**2 - 100*t + 128.
-(t - 32)*(t - 4)*(t - 2)/2
Determine y so that 50*y**5/7 - 40370*y**4/7 + 216772*y**3/7 - 185800*y**2/7 - 30288*y + 230976/7 = 0.
-1, 6/5, 4, 802
Factor 5*q**2 + 139630*q + 974826845.
5*(q + 13963)**2
What is w in 10*w**3 + 322*w**2 + 3302*w + 10478 = 0?
-13, -31/5
Determine p so that -p**5/2 + 263*p**4/2 + 531*p**3/2 - 263*p**2/2 - 265*p = 0.
-2, -1, 0, 1, 265
Suppose -3*l**2/5 + 8736*l/5 = 0. What is l?
0, 2912
Let -5*z**5 - 215*z**4 - 2930*z**3 - 6110*z**2 + 151255*z + 845845 = 0. Calculate z.
-13, -11, 7
Determine d, given that -5*d**3 + 11490*d**2 - 227800*d = 0.
0, 20, 2278
Suppose 2*g**2/11 - 778*g/11 - 504 = 0. Calculate g.
-7, 396
Determine c so that 64*c**5/7 + 36768*c**4/7 - 469244*c**3/7 + 209304*c**2/7 + 194932*c/7 + 28176/7 = 0.
-587, -1/4, 1, 12
Let 4104*m**4 + 3210*m**3 - 898*m**2 - 4*m = 0. Calculate m.
-1, -1/228, 0, 2/9
Suppose f**3 - 466*f**2 + 4576*f - 7296 = 0. Calculate f.
2, 8, 456
Let 4*j**3 + 88*j**2 - 7516*j - 180400 = 0. Calculate j.
-41, -25, 44
Factor -i**4/4 - 81*i**3/2 - 1713*i**2 - 10823*i/2 + 131061/4.
-(i - 3)*(i + 7)*(i + 79)**2/4
Find r, given that -r**3 + 284*r**2 - 1949*r + 2770 = 0.
2, 5, 277
Factor t**3/3 + 15*t**2 - 118*t + 520/3.
(t - 5)*(t - 2)*(t + 52)/3
Determine d so that 3*d**3 - 5844*d**2 + 2828415*d + 17181522 = 0.
-6, 977
Find y, given that y**5 - 158*y**4 - 324*y**3 + 632*y**2 + 1280*y = 0.
-2, 0, 2, 160
Factor -2*x**2/13 + 8368*x/13 + 50280/13.
-2*(x - 4190)*(x + 6)/13
Let -g**2 - 18891*g/7 + 5398/7 = 0. What is g?
-2699, 2/7
Determine n, given that -2*n**3/15 + 218*n**2/5 + 2688*n/5 + 8136/5 = 0.
-6, 339
Suppose -3*p**3 + 84432*p**2 + 337764*p + 337776 = 0. What is p?
-2, 28148
Factor -5*k**3 + 56940*k**2 + 227820*k + 227840.
-5*(k - 11392)*(k + 2)**2
Factor -5*l**2 - 948140*l - 948135.
-5*(l + 1)*(l + 189627)
Solve 2*o**3/11 + 84*o**2/11 - 918*o/11 = 0 for o.
-51, 0, 9
Factor 957*y**2 + 370368*y + 3483.
3*(y + 387)*(319*y + 3)
Find y, given that 3*y**2/8 - 211005*y/2 + 14841036675/2 = 0.
140670
Suppose -30294016*h**4 - 2223616*h**3 - 40804*h**2 = 0. Calculate h.
-101/2752, 0
Find x, given that -x**4/2 - 453*x**3/2 - 4011*x**2/2 - 6635*x/2 + 5550 = 0.
-444, -5, 1
Factor 2*t**2/5 - 2082*t/5 - 77544/5.
2*(t - 1077)*(t + 36)/5
Suppose 170*p**4 + 3408*p**3 + 11720*p**2 + 11424*p + 512 = 0. Calculate p.
-16, -2, -4/85
Solve 3*p**4 + 429*p**3 + 4452*p**2 + 12756*p + 11088 = 0 for p.
-132, -7, -2
Factor -6*m**2/11 + 2946*m/11 + 7332.
-6*(m - 517)*(m + 26)/11
Find q such that -2*q**4 - 400*q**3 - 16638*q**2 = 0.
-141, -59, 0
Factor -4*q**3 - 1024*q**2 - 57020*q - 56000.
-4*(q + 1)*(q + 80)*(q + 175)
Let 5*q**5 + 29508*q**4 - 100364*q**3 + 123994*q**2 - 64953*q + 11810 = 0. Calculate q.
-5905, 2/5, 1
Let -25*p**5 + 340*p**4 + 2940*p**3 + 5120*p**2 + 1600*p = 0. What is p?
-4, -2, -2/5, 0, 20
Factor 2*f**2 + 512*f/7.
2*f*(7*f + 256)/7
Factor -2*t**3/9 - 44*t**2/3 + 190*t/3 + 700/9.
-2*(t - 5)*(t + 1)*(t + 70)/9
Factor 3*r**2/4 + 139833*r/4 - 139839/2.
3*(r - 2)*(r + 46613)/4
Factor 2*c**2 + 2716796*c + 922622563202.
2*(c + 679199)**2
Factor -t**3/2 + 206*t**2 - 28290*t + 1294992.
-(t - 138)**2*(t - 136)/2
Factor 5*y**5 - 1565*y**4 - 11200*y**3.
5*y**3*(y - 320)*(y + 7)
Solve 2*x**2/11 + 6979944*x/11 + 6089952280392/11 = 0.
-1744986
Find s such that -2*s**5 + 6176*s**4 = 0.
0, 3088
Suppose z**2/4 - 19832*z + 393308224 = 0. What is z?
39664
Suppose -3*x**4 - 9*x**3 + 630*x**2 + 2532*x + 2520 = 0. Calculate x.
-14, -2, 15
Factor 5*i**2/3 + 5992*i/3 + 8756.
(i + 1194)*(5*i + 22)/3
Solve 4*x**3 - 1452*x**2 + 2876*x + 4332 = 0.
-1, 3, 361
Solve -4*q**2 + 1600*q + 3216 = 0 for q.
-2, 402
Factor -3*c**4 + 14112*c**3 - 16581594*c**2 - 33205536*c - 16609827.
-3*(c - 2353)**2*(c + 1)**2
Suppose -2*a**3 + 1338*a**2 - 243078*a + 6309182 = 0. What is a?
31, 319
Suppose h**4/6 - 1244*h**3 + 62993*h**2 + 389156*h/3 + 130963/2 = 0. What is h?
-1, 53, 7413
Determine k so that -128*k**3 + 173600*k**2 + 652350*k + 612000 = 0.
-15/8, 1360
Factor -a**2/4 + 1175*a/4 - 879.
-(a - 1172)*(a - 3)/4
Factor 3*m**3 + 14196*m**2 + 85047*m - 99246.
3*(m - 1)*(m + 7)*(m + 4726)
Find u, given that 2*u**3/5 - 134*u**2/5 + 2752*u/5 - 3584 = 0.
16, 35
Solve -176*x**2/3 - 907*x/3 - 45 = 0.
-5, -27/176
Solve 5*s**4 + 1040*s**3 + 55890*s**2 + 1163800*s + 8456065 = 0.
-139, -23
Suppose -3*t**2/2 - 155622*t - 4036367814 = 0. Calculate t.
-51874
What is y in 2*y**2/17 - 2226*y/17 + 217080/17 = 0?
108, 1005
Find u such that -34*u**5/3 - 760*u**4/3 - 3800*u**3/3 - 5600*u**2/3 - 512*u = 0.
-16, -4, -2, -6/17, 0
Suppose -i**3/2 + 9959*i**2/4 - 3098805*i - 1550025 = 0. Calculate i.
-1/2, 2490
Find r such that -r**2 + 8155*r + 8156 = 0.
-1, 8156
Find a, given that 2*a**5/7 - 4*a**4/7 - 208*a**3 = 0.
-26, 0, 28
