539, 0, 5/6
Solve -2*q**5/7 + 30*q**4/7 + 24*q**3/7 - 56*q**2 + 480*q/7 = 0 for q.
-4, 0, 2, 15
Determine f so that -3*f**5 + 651*f**4 - 639*f**3 - 1959*f**2 + 3246*f - 1296 = 0.
-2, 1, 216
Determine k so that 5*k**4/2 - 8687*k**3/2 + 27702*k**2 - 10386*k = 0.
0, 2/5, 6, 1731
Suppose 6*c**4 - 15476*c**3 - 41304*c**2 - 20656*c = 0. Calculate c.
-2, -2/3, 0, 2582
Suppose -3*s**3 - 16623*s**2 + 501483*s + 518103 = 0. What is s?
-5571, -1, 31
Factor -3*f**2/8 - 12915*f/8 + 12921/4.
-3*(f - 2)*(f + 4307)/8
Find s, given that s**5 + 204*s**4 + 814*s**3 - 978180*s**2 + 22992025*s = 0.
-137, 0, 35
Let -2*g**3/23 + 5160*g**2/23 - 20616*g/23 + 896 = 0. What is g?
2, 2576
Factor 5*i**3 - 3235*i**2 + 352640*i - 10629120.
5*(i - 519)*(i - 64)**2
Factor -2*s**5 - 80*s**4 - 138*s**3 + 2908*s**2 - 7256*s + 5328.
-2*(s - 2)**3*(s + 9)*(s + 37)
Let 2*z**2/11 + 4410*z/11 + 298900/11 = 0. Calculate z.
-2135, -70
Factor -j**2/4 + 811*j/2 - 1621/4.
-(j - 1621)*(j - 1)/4
Solve -p**3/3 + 11*p**2 - 287*p/3 + 85 = 0.
1, 15, 17
Determine r, given that r**5 + 8*r**4 - 455*r**3 - 3270*r**2 - 36*r + 16632 = 0.
-22, -6, -3, 2, 21
Factor -3*p**2/4 - 159*p/2 - 4095/4.
-3*(p + 15)*(p + 91)/4
Factor 54*q**2 - 8476*q - 314.
2*(q - 157)*(27*q + 1)
Factor 2*g**2/7 - 15240*g + 203225400.
2*(g - 26670)**2/7
Factor 5*y**3 + 193780*y**2 + 1877728185*y + 3754681290.
5*(y + 2)*(y + 19377)**2
Suppose -g**2/5 - 2296*g/5 - 29679/5 = 0. What is g?
-2283, -13
Factor 2*l**3 + 112*l**2 - 97240*l + 6679200.
2*(l - 110)**2*(l + 276)
Let 2*v**3 - 4658*v**2 - 4664*v + 9320 = 0. What is v?
-2, 1, 2330
Find r such that -r**5/3 + 304*r**4/3 - 13765*r**3/3 - 532738*r**2 + 3309504*r - 5018112 = 0.
-54, 3, 176
Factor c**2/3 - 2163*c - 12990.
(c - 6495)*(c + 6)/3
Solve 2*r**2 + 12934*r - 12936 = 0.
-6468, 1
Let -3*i**2 + 1873*i/3 - 3914/3 = 0. What is i?
19/9, 206
Factor 3*k**4/5 + 51*k**3 + 1458*k**2/5 + 2868*k/5 + 1896/5.
3*(k + 2)**3*(k + 79)/5
Factor -4*r**2 + 55531*r + 13883.
-(r - 13883)*(4*r + 1)
Determine h so that -h**4/4 - 245*h**3/2 - 17959*h**2/4 + 9225*h/2 = 0.
-450, -41, 0, 1
Let -g**2 - 781*g + 3140 = 0. Calculate g.
-785, 4
Suppose -4*b**4 + 8*b**3 + 672*b**2 = 0. What is b?
-12, 0, 14
Factor p**2 + 48862*p - 244335.
(p - 5)*(p + 48867)
Solve y**3/3 - 752*y**2/3 + 141376*y/3 = 0 for y.
0, 376
Suppose 2*j**4/7 + 240*j**3/7 - 738*j**2/7 + 8*j/7 + 984/7 = 0. Calculate j.
-123, -1, 2
Find w such that -3*w**2 - 195*w - 3150 = 0.
-35, -30
Factor -2*d**3 + 5125*d**2/2 - 1281*d/2.
-d*(d - 1281)*(4*d - 1)/2
Factor -w**3 - 81*w**2 + 1002*w - 920.
-(w - 10)*(w - 1)*(w + 92)
Find b, given that 168*b**4/19 + 782*b**3/19 - 1448*b**2/19 - 7038*b/19 - 576/19 = 0.
-32/7, -3, -1/12, 3
Suppose -4*r**4 - 391*r**3 - 670*r**2 + 192*r = 0. What is r?
-96, -2, 0, 1/4
Factor 3*k**3 + 1722*k**2 + 6852*k + 6840.
3*(k + 2)**2*(k + 570)
Factor -w**2/3 + 101*w - 1196/3.
-(w - 299)*(w - 4)/3
Solve v**5/9 - 3040*v**4/9 + 771146*v**3/3 - 4617760*v**2/9 + 2307361*v/9 = 0.
0, 1, 1519
Determine j, given that 245*j**3 - 36575*j**2 - 215000*j - 310000 = 0.
-20/7, 155
Factor -2*u**2/3 + 2912*u/3 - 5816/3.
-2*(u - 1454)*(u - 2)/3
Factor -t**2/3 + t + 88/3.
-(t - 11)*(t + 8)/3
Factor 14*o**2/13 - 5620*o/13 + 2406/13.
2*(o - 401)*(7*o - 3)/13
Suppose -3*d**3/4 + 2853*d**2/4 + 166479*d/2 - 83952 = 0. What is d?
-106, 1, 1056
Solve -z**2 + 764*z + 16485 = 0.
-21, 785
Determine r, given that -r**4/4 - 937*r**3/4 - 5597*r**2/4 - 10247*r/4 - 2793/2 = 0.
-931, -3, -2, -1
Factor 2*u**2 + 136*u - 7210.
2*(u - 35)*(u + 103)
Find x, given that 32*x**5/7 - 720*x**4/7 + 526*x**3 - 1002*x**2/7 - 3546*x/7 + 270 = 0.
-1, 3/4, 7, 15
Solve 2*p**2 + 192*p - 31304 = 0 for p.
-182, 86
Determine g so that -g**3/6 + 266*g**2/3 - 5209*g/6 - 957 = 0.
-1, 11, 522
Let -4*v**5 + 1312*v**4 - 107584*v**3 = 0. What is v?
0, 164
Determine n, given that 22*n**3 + 7704*n**2 - 29752*n - 5664 = 0.
-354, -2/11, 4
Solve o**2/7 + 23766*o/7 + 141205689/7 = 0 for o.
-11883
What is v in 4*v**5/3 + 832*v**4/3 - 111740*v**3/3 + 544360*v**2/3 - 863504*v/3 + 430048/3 = 0?
-302, 1, 2, 89
Factor -4*s**2/5 + 148*s - 20536/5.
-4*(s - 151)*(s - 34)/5
Find i, given that -5*i**4 + 1280*i**3 - 2545*i**2 + 1270*i = 0.
0, 1, 254
Suppose -2*v**2/3 + 1508*v/3 - 66462 = 0. What is v?
171, 583
Find a such that -4*a**5/7 - 2168*a**4/7 + 47568*a**3/7 + 155672*a**2/7 + 159988*a/7 + 54048/7 = 0.
-563, -1, 24
Solve 52*i**3/21 - 4682*i**2/21 + 42640*i/7 - 317382/7 = 0 for i.
313/26, 39
Determine h, given that 4*h**3/9 - 32716*h**2/9 + 98096*h/9 + 130816/9 = 0.
-1, 4, 8176
Factor -2*i**2/7 - 98512*i/7 - 1213076768/7.
-2*(i + 24628)**2/7
Factor -6*k**2/5 + 232*k + 3136/5.
-2*(k - 196)*(3*k + 8)/5
Determine o so that o**4/8 - 5513*o**3/4 - 4136*o**2 + 5513*o/4 + 33087/8 = 0.
-3, -1, 1, 11029
Find i, given that -i**3/2 - 22*i**2 + 1936*i = 0.
-88, 0, 44
Factor 2*k**2/3 - 598*k/3 + 40376/3.
2*(k - 196)*(k - 103)/3
Determine c so that 2*c**2/9 + 3906*c - 246176/9 = 0.
-17584, 7
Factor 2*y**2/23 - 6944*y/23 + 6942/23.
2*(y - 3471)*(y - 1)/23
Factor 3*g**2 - 3054*g + 9135.
3*(g - 1015)*(g - 3)
Factor z**3 + 8564*z**2 - z - 8564.
(z - 1)*(z + 1)*(z + 8564)
Suppose -a**5 - 389*a**4 - 4546*a**3 - 8210*a**2 + 31619*a - 18473 = 0. Calculate a.
-377, -7, 1
Suppose -14*h**4 - 906*h**3 + 10536*h**2 - 19736*h + 4800 = 0. What is h?
-75, 2/7, 2, 8
Suppose 5*a**4 + 535*a**3 + 6425*a**2 - 106875*a + 303750 = 0. What is a?
-90, -27, 5
Factor -2*x**4 - 154*x**3 + 25854*x**2 - 920638*x + 10128940.
-2*(x - 31)**3*(x + 170)
Factor 17*d**3/4 + 267*d**2/4 + 99*d - 35.
(d + 2)*(d + 14)*(17*d - 5)/4
Determine d so that -2*d**5 - 234*d**4 - 678*d**3 + 698*d**2 + 1584*d - 1368 = 0.
-114, -3, -2, 1
Suppose 2*y**5/7 + 622*y**4/7 + 36812*y**3/7 + 36192*y**2/7 = 0. Calculate y.
-232, -78, -1, 0
Find x, given that -3*x**5 - 32526*x**4 + 3*x**3 + 32526*x**2 = 0.
-10842, -1, 0, 1
Factor 5*x**3 - 55*x**2 - 11850*x + 201960.
5*(x - 44)*(x - 18)*(x + 51)
Factor -h**2/3 - 1751*h/3 - 2910.
-(h + 5)*(h + 1746)/3
Factor -4*a**5 - 184*a**4 - 352*a**3.
-4*a**3*(a + 2)*(a + 44)
Solve -4*g**2 - 1532*g + 15720 = 0.
-393, 10
Find n, given that -n**3/2 + 6585*n**2/2 - 286836*n + 6289096 = 0.
44, 6497
What is g in 5*g**4/6 - 908*g**3/3 + 60445*g**2/6 + 31133*g/3 = 0?
-1, 0, 191/5, 326
Factor 3*c**4 + 48747*c**3 - 97503*c**2 + 48753*c.
3*c*(c - 1)**2*(c + 16251)
Find g, given that -536*g**2 - 538*g - 2 = 0.
-1, -1/268
What is s in -49*s**4/2 - 6825*s**3 - 246738*s**2 - 139324*s - 19824 = 0?
-236, -42, -2/7
Factor v**4/4 + 81*v**3/2 + 635*v**2/4 + 237*v/2.
v*(v + 1)*(v + 3)*(v + 158)/4
Factor -k**2/5 - 22036*k.
-k*(k + 110180)/5
Factor c**4 - 28914*c**3 + 144552*c**2 - 202366*c + 86727.
(c - 28909)*(c - 3)*(c - 1)**2
Factor -o**3/8 + 13*o**2 - 1479*o/8.
-o*(o - 87)*(o - 17)/8
Factor j**4 + 187*j**3 + 4739*j**2 + 4553*j.
j*(j + 1)*(j + 29)*(j + 157)
Determine u, given that 3*u**4 + 336*u**3 + 5793*u**2 + 5460*u = 0.
-91, -20, -1, 0
Factor 43516*h**2 + 391656*h + 108.
4*(h + 9)*(10879*h + 3)
Factor 2*i**2/15 + 122*i/3 + 29768/15.
2*(i + 61)*(i + 244)/15
Let 4*t**3 + 2773048*t**2 + 5546084*t + 2773040 = 0. Calculate t.
-693260, -1
Factor 2*q**4/3 - 4028*q**3/3.
2*q**3*(q - 2014)/3
Suppose -3*n**3/4 - 681*n**2/4 - 41529*n/4 - 320787/4 = 0. What is n?
-109, -9
Solve -i**3 - 53*i**2 + 4454*i - 24600 = 0 for i.
-100, 6, 41
Factor 5*h**3 + 5220*h**2 + 5005*h - 219030.
5*(h - 6)*(h + 7)*(h + 1043)
Determine o so that 2*o**5 - 370*o**4 - 12414*o**3 + 370*o**2 + 12412*o = 0.
-29, -1, 0, 1, 214
Factor -3*p**2/2 - 158619*p/2 - 1110039.
-3*(p + 14)*(p + 52859)/2
Factor -3*a**4 - 99*a**3 - 93*a**2 + 99*a + 96.
-3*(a - 1)*(a + 1)**2*(a + 32)
Suppose 40*n**2/7 - 4*n/7 - 1188/7 = 0. What is n?
-27/5, 11/2
Factor 365*g**4 + 294930*g**3 + 8080*g**2.
5*g**2*(g + 808)*(73*g + 2)
Factor o**2/2 + 558*o + 4432.
(o + 8)*(o + 1108)/2
Suppose 2*o**3/3 - 41*o**2/3 + 280*o/3 - 637/3 = 0. Calculate o.
13/2, 7
Factor p**2/7 + 26048*p/7 + 169624576/7.
(p + 13024)**2/7
Suppose 5*q**2 - 121300*q - 121305 = 0. Calculate q.
-1, 24261
Determine w, given that -22*w**2/9 + 652*w/9 - 480 = 0.
10, 216/11
What is r in -3*r**5 - 1061*r**4 - 2814*r**3 - 2106*r**2 + r + 351 = 0?
-351, -1, 1/3
Let -4*j**2 - 1712*j - 1708 = 0. Calculate j.
-427, -1
Factor 4*n**2 - 112020*n.
4*n*(n - 28005)