103809*u**2/2 - 622827*u/2 - 934227/2.
-(u + 3)**2*(u + 103803)/2
Factor 722*s**3/23 - 76190*s**2/23 + 43152*s - 150696.
2*(s - 91)*(19*s - 138)**2/23
Let -2*m**4/23 + 330*m**3 - 30336*m**2/23 + 30328*m/23 = 0. Calculate m.
0, 2, 3791
Determine v, given that -2*v**5/11 + 1972*v**4/11 + 720*v**3 = 0.
-4, 0, 990
Find o such that -4*o**3 + 640*o**2 + 644*o = 0.
-1, 0, 161
Solve 3*g**2/7 - 1488*g - 83520/7 = 0.
-8, 3480
Solve 1083*w**4 - 7980*w**3 + 7632*w**2 + 7344*w + 1296 = 0 for w.
-6/19, 2, 6
Solve -2*y**5 + 810*y**4 - 4748*y**3 - 16008*y**2 + 19024*y + 51072 = 0 for y.
-2, 2, 8, 399
Let 5*a**5 + 2145*a**4 + 302350*a**3 + 13361750*a**2 - 89881875*a + 76215625 = 0. What is a?
-145, 1, 5
Factor -3*m**4 - 25020*m**3 + 100116*m**2 - 100128*m.
-3*m*(m - 2)**2*(m + 8344)
Factor 244*j**3/5 - 528*j**2/5 - 49788*j/5 + 312984/5.
4*(j - 9)**2*(61*j + 966)/5
Solve -u**4 + 5564*u**3 - 7728388*u**2 - 30980352*u - 31002624 = 0.
-2, 2784
Factor -4*u**2/3 - 262*u/3 - 1316.
-2*(u + 42)*(2*u + 47)/3
Let -4*h**3/5 + 256*h**2/5 - 2852*h/5 + 520 = 0. What is h?
1, 13, 50
Determine c, given that -2*c**3 + 4936*c**2 - 68738*c + 63804 = 0.
1, 13, 2454
Find r, given that -2*r**3 + 640*r**2 + 6582*r + 5940 = 0.
-9, -1, 330
Solve -12*n**3 + 76*n**2 + 160*n = 0 for n.
-5/3, 0, 8
Solve 4*j**2 + 3520*j - 21264 = 0.
-886, 6
Factor -b**4/3 - 86*b**3/3 - 245*b**2/3 + 332*b/3.
-b*(b - 1)*(b + 4)*(b + 83)/3
Factor -2*p**2 - 106*p + 3108.
-2*(p - 21)*(p + 74)
Solve -3*i**5/7 + 531*i**4/7 - 3042*i**3/7 - 6366*i**2/7 + 35685*i/7 + 38475/7 = 0.
-3, -1, 5, 171
Factor n**3/6 - 2137*n**2/2 + 1590720*n + 1191611666/3.
(n - 3314)**2*(n + 217)/6
Factor -42*k**2/11 + 18492*k/11 - 480.
-6*(k - 440)*(7*k - 2)/11
Factor o**5 + 145*o**4 + 4724*o**3 - 38608*o**2 + 69312*o.
o*(o - 4)*(o - 3)*(o + 76)**2
Factor 2*z**3 + 226*z**2 + 150*z - 416250.
2*(z - 37)*(z + 75)**2
Determine u, given that -3*u**2 + 945*u + 948 = 0.
-1, 316
Factor -296*x**3/3 + 11839*x**2/3 - 118360*x/3 - 400/3.
-(x - 20)**2*(296*x + 1)/3
Factor -2*t**4 - 318*t**3 - 312*t**2 + 632*t.
-2*t*(t - 1)*(t + 2)*(t + 158)
Solve -9*c**5/8 + 303*c**4/8 - 681*c**3/8 - 2007*c**2/8 + 825*c/4 + 93 = 0 for c.
-2, -1/3, 1, 4, 31
Suppose 7*z**3/3 - 31*z**2/3 - 62*z/3 - 8 = 0. Calculate z.
-1, -4/7, 6
Determine x so that -2*x**3/9 - 40*x**2 + 3026*x/9 + 376 = 0.
-188, -1, 9
Suppose t**2/6 - 4855*t/3 + 23571025/6 = 0. Calculate t.
4855
Factor -3*l**3 - 2184*l**2 + 3*l + 2184.
-3*(l - 1)*(l + 1)*(l + 728)
Factor o**2/3 + 511*o - 67768/3.
(o - 43)*(o + 1576)/3
Factor -2*w**2 - 1342*w + 394264.
-2*(w - 221)*(w + 892)
Let 3*i**4 - 12174*i**3 - 48729*i**2 - 60924*i - 24372 = 0. What is i?
-2, -1, 4062
Factor -410*y**3 + 735*y**2 - 240*y - 85.
-5*(y - 1)**2*(82*y + 17)
Solve 4*t**4/7 - 28136*t**3/7 + 65988288*t**2/7 - 51646758400*t/7 + 103029788672/7 = 0 for t.
2, 2344
Determine j, given that j**4/5 - 19898*j**3/5 + 98922864*j**2/5 + 594572288*j/5 - 1584676864/5 = 0.
-8, 2, 9952
Factor -3*i**3 - 1638*i**2 - 63504*i.
-3*i*(i + 42)*(i + 504)
Factor n**4 + 56*n**3 - 849*n**2 + 3276*n - 2484.
(n - 6)**2*(n - 1)*(n + 69)
Find m such that m**2 + 843*m - 1690 = 0.
-845, 2
Solve -2*q**2/5 - 4936*q - 172662/5 = 0.
-12333, -7
Factor 3*j**2 + 17724*j + 26178348.
3*(j + 2954)**2
Factor 2*n**2 + 119228*n + 1776914498.
2*(n + 29807)**2
Solve -2*k**2/7 + 632*k/7 - 41736/7 = 0.
94, 222
Let 5*o**5/4 + 1445*o**4/4 - 102255*o**3/4 + 1578055*o**2/4 + 840875*o/2 = 0. Calculate o.
-350, -1, 0, 31
Factor -3*p**3/2 + 9357*p**2 - 14582880*p - 29203200.
-3*(p - 3120)**2*(p + 2)/2
Suppose -2*g**5/9 + 464*g**4/9 - 11914*g**3/3 + 927080*g**2/9 - 891800*g/9 = 0. Calculate g.
0, 1, 70, 91
Suppose -5*a**4 + 26900*a**3 + 53815*a**2 + 26910*a = 0. What is a?
-1, 0, 5382
Let -4*u**4 - 14536*u**3 - 13191408*u**2 + 26440992*u = 0. Calculate u.
-1818, 0, 2
Factor 2*a**2/11 - 758*a/11 - 34440/11.
2*(a - 420)*(a + 41)/11
Factor -4*y**3 + 842304*y**2 - 3369168*y + 3369152.
-4*(y - 210572)*(y - 2)**2
Solve 5*q**3 - 87975*q**2 - 87980*q = 0 for q.
-1, 0, 17596
Solve -3*q**4 - 132*q**3 - 819*q**2 - 1578*q - 888 = 0.
-37, -4, -2, -1
What is r in -3*r**4 - 456*r**3 + 2331*r**2 - 3756*r + 1884 = 0?
-157, 1, 2
Solve 49*w**5/5 - 5340727*w**4/5 + 145533856752*w**3/5 - 353399148556*w**2/5 - 237583813376*w/5 - 35637768192/5 = 0 for w.
-2/7, 3, 54496
Factor -2*r**3 - 306*r**2 - 2632*r - 5760.
-2*(r + 4)*(r + 5)*(r + 144)
Find r such that 5*r**5/4 + 18925*r**4/2 - 530515*r**3/4 + 691830*r**2 - 1592460*r + 1365120 = 0.
-7584, 3, 4
Solve 3*v**5 + 90*v**4 + 744*v**3 + 2370*v**2 + 2853*v + 1140 = 0 for v.
-19, -5, -4, -1
Let -4*r**2/7 - 16220*r/7 - 4632 = 0. Calculate r.
-4053, -2
Factor q**5/7 + 2*q**4/7 - 2295*q**3/7 + 5832*q**2.
q**2*(q - 27)**2*(q + 56)/7
Factor 4385*d**2 + 8790*d + 40.
5*(d + 2)*(877*d + 4)
Determine m, given that -3*m**2 - 1419*m + 34224 = 0.
-496, 23
Suppose -5*a**2 + 129000*a - 832050000 = 0. What is a?
12900
Find j, given that -4*j**4/3 + 5288*j**3/3 + 3532*j**2 - 5288*j/3 - 10592/3 = 0.
-2, -1, 1, 1324
Solve 2*n**2 + 14352*n - 14354 = 0 for n.
-7177, 1
Let 224*u**3 - 5672*u**2 - 3964*u + 312 = 0. Calculate u.
-3/4, 1/14, 26
Find g, given that 14*g**5/3 - 11182*g**4/3 + 266962*g**3/3 + 651118*g**2/3 + 152184*g + 27864 = 0.
-1, -2/7, 27, 774
Determine d so that -3*d**5 + 654*d**4 - 6903*d**3 + 14796*d**2 + 22356*d = 0.
-1, 0, 6, 207
Factor -q**2 + 266*q - 12064.
-(q - 208)*(q - 58)
Factor -3*v**2/5 + 2178132*v/5 - 395354917452/5.
-3*(v - 363022)**2/5
Let 310*d**2/11 + 602*d/11 - 36/11 = 0. What is d?
-2, 9/155
Factor 3*b**4 + 849*b**3 - 900*b**2 - 13692*b - 17040.
3*(b - 5)*(b + 2)**2*(b + 284)
Let -5*f**5 + 230*f**4 - 1945*f**3 + 5260*f**2 - 1200*f - 8640 = 0. What is f?
-1, 3, 4, 36
Suppose 3*w**4 + 2568*w**3 - 12891*w**2 + 20652*w - 10332 = 0. What is w?
-861, 1, 2
Factor -3*k**2/4 + 14691*k + 58767/4.
-3*(k - 19589)*(k + 1)/4
Let 20*y**5 + 518*y**4 + 3488*y**3 - 1794*y**2 - 43056*y + 4320 = 0. What is y?
-12, -5, 1/10, 3
Solve 5*w**2/4 - 45*w/4 + 35/2 = 0 for w.
2, 7
Find r such that r**3/5 - 737*r**2/5 + 4346*r/5 + 5848 = 0.
-4, 10, 731
Suppose d**2/3 - 322*d + 17271 = 0. What is d?
57, 909
Factor 3*f**5 + 2406*f**4 + 389475*f**3.
3*f**3*(f + 225)*(f + 577)
Let 8*b**5/3 + 4*b**4/3 - 140*b**3 - 976*b**2/3 - 176*b/3 + 128 = 0. Calculate b.
-6, -2, -1, 1/2, 8
Solve -2*w**4/11 + 580*w**3/11 - 45368*w**2/11 + 478716*w/11 - 1043334/11 = 0 for w.
3, 9, 139
Find u, given that -4*u**4/3 + 58*u**3/3 + 54*u**2 + 134*u/3 + 34/3 = 0.
-1, -1/2, 17
Find q such that 554*q**4 - 2768*q**3/5 - 5542*q**2/5 - 4*q/5 = 0.
-1, -1/1385, 0, 2
Let -14045*c**5 + 604995*c**4 - 1211335*c**3 + 664685*c**2 - 45120*c + 820 = 0. What is c?
2/53, 1, 41
Determine g so that 16*g**4/23 + 122*g**3/23 - 1728*g**2/23 + 630*g/23 = 0.
-15, 0, 3/8, 7
Solve 2*l**5 + 978*l**4 - 21150*l**3 + 136998*l**2 - 357372*l + 330480 = 0.
-510, 3, 12
Suppose -a**3 - 10569*a**2 + 211680*a - 1058900 = 0. Calculate a.
-10589, 10
What is u in u**2 + 1452*u + 14420 = 0?
-1442, -10
Factor k**2/4 - 70691*k/2 + 4997217481/4.
(k - 70691)**2/4
Factor -2*g**4 - 66*g**3 - 52*g**2 + 384*g.
-2*g*(g - 2)*(g + 3)*(g + 32)
What is y in 3*y**5/7 + 30*y**4/7 - 279*y**3/7 + 174*y**2/7 + 480*y/7 = 0?
-16, -1, 0, 2, 5
Factor 2*k**2/13 + 88696*k/13 + 983372552/13.
2*(k + 22174)**2/13
Factor -p**3 - 1174*p**2 + 1175*p.
-p*(p - 1)*(p + 1175)
Find z, given that -2*z**4/7 + 4*z**3 + 274*z**2/7 - 372*z + 4752/7 = 0.
-11, 3, 4, 18
Find s, given that s**4/4 - 75*s**3/2 - 3535*s**2/4 - 2385*s - 1539 = 0.
-18, -2, -1, 171
Find r, given that 44*r**4/9 - 18680*r**3/9 - 27268*r**2/9 + 560*r/3 + 1136 = 0.
-1, 6/11, 426
Factor 2*m**2/11 - 7958*m/11.
2*m*(m - 3979)/11
Suppose 4*b**3 + 2560*b**2 - 12924*b - 15480 = 0. What is b?
-645, -1, 6
Factor -z**2/3 - 52512*z - 2068132608.
-(z + 78768)**2/3
Let -3*b**4/7 + 1955*b**3/7 - 5195*b**2/7 + 1945*b/7 + 1298/7 = 0. Calculate b.
-1/3, 1, 2, 649
Solve 84*x**4/17 + 982*x**3/17 + 262*x**2/17 - 636*x/17 = 0.
-159/14, -1, 0, 2/3
Factor -v**2 - 87*v - 770.
-(v + 10)*(v + 77)
Factor -t**3/11 - 131*t**2/11 + 400*t/11 - 268/11.
-(t - 2)*(t - 1)*(t + 134)/11
Solve t**4 + 916*t**3 + 225221*t**2 + 6564806*t - 166510944 = 0 for t.
-439, -54, 16
Factor -1473*p**2 - 1437*p + 36.
-3*(p + 1)*(491*p - 12)
Determine r, given that r**5/4 - 9