46*d/9 - 1364/3 = 0.
-341, -2/5, 3/14, 1
Suppose 2*o**2/7 + 632*o/7 - 14872/7 = 0. What is o?
-338, 22
Factor -m**3/3 - 156*m**2 - 2108*m + 14528/3.
-(m - 2)*(m + 16)*(m + 454)/3
Factor 3485*t**2/3 - 1158*t - 11/3.
(t - 1)*(3485*t + 11)/3
Let 9*j**3 + 295268*j**2 + 2421689712*j - 1076364864 = 0. Calculate j.
-16404, 4/9
Factor 5*m**2/3 + 6974750*m/3 + 2432356878125/3.
5*(m + 697475)**2/3
Factor -2*f**2/13 - 23098*f/13 + 416412/13.
-2*(f - 18)*(f + 11567)/13
Factor j**3/10 + 1564*j**2 + 15637*j/10 - 15639/5.
(j - 1)*(j + 2)*(j + 15639)/10
Factor -4*s**3 + 2019680*s**2 - 254944206400*s.
-4*s*(s - 252460)**2
Factor 1707*b**2 + 1706*b - 1.
(b + 1)*(1707*b - 1)
Let v**5 + 2159*v**4 + 1155568*v**3 - 10523488*v**2 + 28166656*v - 18800896 = 0. What is v?
-1084, 1, 4
Suppose -4*q**3 - 2124*q**2 + 12856*q - 17184 = 0. Calculate q.
-537, 2, 4
Solve 5*z**5/3 + 19245*z**4 + 577030*z**3/3 + 2076940*z**2/3 + 1076840*z + 1845920/3 = 0 for z.
-11537, -4, -2
Determine i so that -14*i**4 - 13436*i**3 - 49696*i**2 + 15296*i = 0.
-956, -4, 0, 2/7
Determine w, given that -2*w**4/13 + 148*w**3/13 + 960*w**2/13 = 0.
-6, 0, 80
Let -11*m**2/2 - 10063*m/2 + 915 = 0. Calculate m.
-915, 2/11
Suppose -t**2 + 57126*t - 114248 = 0. Calculate t.
2, 57124
Find i such that 3*i**3 - 2664*i**2 + 18531*i - 26430 = 0.
2, 5, 881
Find q, given that -28*q**4/3 + 1597*q**3/3 - 3285*q**2 + 236*q/3 + 700/3 = 0.
-1/4, 2/7, 7, 50
Factor -2*u**3 + 348*u**2 - 342*u - 692.
-2*(u - 173)*(u - 2)*(u + 1)
Find d such that -11*d**4/4 - 5809*d**3/4 - 749463*d**2/4 + 4636989*d/4 + 213867/2 = 0.
-267, -1/11, 6
Factor -2*t**2/21 - 2508*t/7 + 7538/3.
-2*(t - 7)*(t + 3769)/21
What is o in o**3/2 + 1251723*o**2/2 + 391703243043*o/2 + 391701991321/2 = 0?
-625861, -1
What is w in w**5 + 71*w**4 - 1416*w**3 + 6976*w**2 - 5632*w = 0?
-88, 0, 1, 8
What is r in -36*r**5 + 3108*r**4 + 42272*r**3 - 109856*r**2 + 86464*r - 21952 = 0?
-14, 2/3, 1, 98
Factor k**3 - 47587*k**2.
k**2*(k - 47587)
Suppose -5*y**3 - 1470*y**2 - 16920*y = 0. Calculate y.
-282, -12, 0
Factor -18*x**2/11 - 35564*x/11 + 7904/11.
-2*(x + 1976)*(9*x - 2)/11
Solve -o**3 - 18*o**2 + 2079*o - 26460 = 0 for o.
-60, 21
Factor -l**4/4 - 184185*l**3/2 - 33923745853*l**2/4 + 16962149205*l - 8481120649.
-(l - 1)**2*(l + 184186)**2/4
Factor 2*u**2/3 - 250*u - 17400.
2*(u - 435)*(u + 60)/3
Let 4*d**2 - 14660*d + 1259104 = 0. What is d?
88, 3577
Determine q, given that -35*q**5 + 2335*q**4 - 39055*q**3 - 19435*q**2 + 759990*q + 217800 = 0.
-4, -2/7, 5, 33
Factor -3*g**3/4 - 78111*g**2 - 2033932320*g - 8134479552.
-3*(g + 4)*(g + 52072)**2/4
Let -3*j**2 + 179988*j - 1259769 = 0. What is j?
7, 59989
Suppose j**2/2 + 1661*j - 3324 = 0. Calculate j.
-3324, 2
Determine t so that 3*t**3 + 1425*t**2 - 2871*t - 4293 = 0.
-477, -1, 3
Let -2*w**3/5 - 188*w**2 - 24640*w - 580800 = 0. Calculate w.
-220, -30
Factor 3*a**2 + 87810*a.
3*a*(a + 29270)
Factor 2*y**2/7 - 46402*y/7 - 26520.
2*(y - 23205)*(y + 4)/7
Factor -2*b**3 - 134*b**2 + 8192*b - 8056.
-2*(b - 38)*(b - 1)*(b + 106)
Factor 2*p**2 - 3600*p + 3598.
2*(p - 1799)*(p - 1)
Solve 2*s**3/19 - 24780*s**2/19 + 76879800*s/19 - 766322000/19 = 0 for s.
10, 6190
Suppose 35*d**4 - 2330*d**3 + 4555*d**2 - 2260*d = 0. Calculate d.
0, 1, 452/7
Factor -k**3/2 + 179*k**2 + 1453*k/2 - 905.
-(k - 362)*(k - 1)*(k + 5)/2
Let 98*x**5/17 - 51996*x**4/17 + 1032816*x**3/17 - 139808*x**2 + 1110048*x/17 - 8640 = 0. What is x?
2/7, 2, 18, 510
Let -254898*n**4 - 1445493*n**3 - 2294574*n**2 - 897660*n - 102600 = 0. Calculate n.
-19/6, -2, -30/119
Find l such that 2*l**3/19 + 1004*l**2/19 + 26544*l/19 = 0.
-474, -28, 0
Factor -3*q**2 + 17517*q + 52578.
-3*(q - 5842)*(q + 3)
Determine k so that k**4 + 58210*k**3 + 847159233*k**2 + 1694143840*k + 847042816 = 0.
-29104, -1
Factor -2332*x**2/7 + 6984*x/7 + 36/7.
-4*(x - 3)*(583*x + 3)/7
Factor -2*y**2 - 46932*y - 275326578.
-2*(y + 11733)**2
Suppose 28*s**5/3 - 21208*s**4/3 + 3674128*s**3/3 + 131269088*s**2/3 + 317217280*s/3 + 139091456/3 = 0. What is s?
-28, -2, -4/7, 394
Factor u**3/2 + 23*u**2/2 + 43*u/2 + 21/2.
(u + 1)**2*(u + 21)/2
Solve -2*c**2/7 - 1604*c/7 - 3200/7 = 0 for c.
-800, -2
Factor t**4/4 - 10939*t**3/2 + 119858461*t**2/4 - 538034715*t + 2419164225.
(t - 10930)**2*(t - 9)**2/4
Solve 121*c**4/6 + 1111*c**3/6 + 199*c**2/6 + 3*c/2 = 0.
-9, -1/11, 0
Solve -f**2/4 + 40853*f/2 - 1668967609/4 = 0.
40853
Factor -3*x**3 + 2769*x**2 - 644904*x + 44607888.
-3*(x - 611)*(x - 156)**2
Determine b, given that -28*b**4/3 + 232*b**3/3 - 260*b**2/3 + 56*b/3 = 0.
0, 2/7, 1, 7
Factor -9*f**3/7 + 110*f**2 - 1923*f/7 + 166.
-(f - 83)*(f - 1)*(9*f - 14)/7
Suppose -5*y**3 - 1055*y**2 + 22060*y + 48300 = 0. Calculate y.
-230, -2, 21
What is a in 2*a**2/13 + 557436*a/13 + 1672290/13 = 0?
-278715, -3
Factor -2*s**2/15 + 4167832*s/15 - 2171352947528/15.
-2*(s - 1041958)**2/15
Factor 2*g**4 + 1246*g**3 + 275328*g**2 + 24551424*g + 665321472.
2*(g + 47)*(g + 192)**3
Let 2*t**5 + 1434*t**4 - 52448*t**3 + 144392*t**2 + 5760*t - 192512 = 0. Calculate t.
-752, -1, 2, 32
Factor 4*t**3 + 5128*t**2 + 85948*t - 91080.
4*(t - 1)*(t + 18)*(t + 1265)
Suppose 3675*q**5 - 140105*q**4 + 411575*q**3 - 345335*q**2 + 112710*q - 12600 = 0. Calculate q.
4/15, 3/7, 2, 35
Solve 4*n**2/5 + 24828*n/5 - 49672/5 = 0.
-6209, 2
Solve 7*p**3 - 265*p**2 - 4679*p - 663 = 0 for p.
-13, -1/7, 51
Factor -x**2/4 + 22714*x + 90857/4.
-(x - 90857)*(x + 1)/4
Factor 2*j**2/11 - 111436*j/11 + 1552247762/11.
2*(j - 27859)**2/11
Factor 2*u**2 + 508*u + 32016.
2*(u + 116)*(u + 138)
Find d, given that 5*d**2 - 25930*d + 25925 = 0.
1, 5185
Let 2*r**2 - 2250*r + 419608 = 0. What is r?
236, 889
Determine j, given that 5*j**2/2 + 5252175*j + 5517068446125/2 = 0.
-1050435
Solve -j**3/4 - 6365*j**2/4 - 6363*j/2 = 0.
-6363, -2, 0
Factor -2*b**3/11 + 37166*b**2/11 - 172682526*b/11 + 172645362/11.
-2*(b - 9291)**2*(b - 1)/11
Solve 40*c**4/3 + 878*c**3 + 14770*c**2 + 62312*c/3 - 10728 = 0 for c.
-149/4, -27, -2, 2/5
Let 39*c**4/5 + 37*c**3 + 47*c**2 + 19*c + 6/5 = 0. What is c?
-3, -1, -2/3, -1/13
Factor -g**2/3 + 1077*g - 205790/3.
-(g - 3166)*(g - 65)/3
What is l in -3*l**5/2 + 609*l**4/2 + 2880*l**3 - 3786*l**2 - 6360*l = 0?
-10, -1, 0, 2, 212
What is v in -178*v**5/13 - 552*v**4/13 - 428*v**3/13 + 248*v**2/13 + 462*v/13 + 160/13 = 0?
-1, 80/89
Solve -4*y**5 + 7828*y**4 + 54920*y**3 + 141328*y**2 + 157088*y + 62848 = 0.
-2, -1, 1964
Factor o**3 + 201*o**2 - 9*o - 1809.
(o - 3)*(o + 3)*(o + 201)
Factor -3*d**3 - 429*d**2 - 20088*d - 306180.
-3*(d + 35)*(d + 54)**2
Find l such that -l**3/3 - 112*l**2/3 - 4096*l/3 - 16384 = 0.
-48, -32
Solve 814*d**4/3 + 820*d**3 + 832*d**2 + 868*d/3 + 6 = 0 for d.
-1, -9/407
Let -a**5 - 41*a**4 - 304*a**3 + 780*a**2 = 0. What is a?
-30, -13, 0, 2
What is u in 9*u**5/7 + 41*u**4/7 - 66*u**3/7 - 636*u**2/7 - 1160*u/7 - 96 = 0?
-3, -2, -14/9, 4
Factor -q**2/4 + 56*q - 1519/4.
-(q - 217)*(q - 7)/4
Factor 3*q**3/2 + 9597*q**2 + 15417360*q + 213966144.
3*(q + 14)*(q + 3192)**2/2
What is r in -7*r**5/4 + 359*r**4/4 + 661*r**3/4 - 1331*r**2/4 + 159*r/2 = 0?
-3, 0, 2/7, 1, 53
Solve 10*z**5 - 315*z**4 + 2325*z**3 - 2375*z**2 - 3135*z + 1890 = 0 for z.
-1, 1/2, 2, 9, 21
Find w, given that w**3 + 95275*w**2 + 2269283768*w - 2269379044 = 0.
-47638, 1
Solve -3*p**2 - 182817*p + 182820 = 0.
-60940, 1
Suppose 91*m**5/6 - 407*m**4/3 - 1163*m**3/3 + 1466*m**2/3 + 105*m/2 - 33 = 0. Calculate m.
-3, -2/7, 3/13, 1, 11
Let 2*m**5/7 - 4*m**4/7 - 150*m**3/7 + 112*m**2 - 1112*m/7 + 480/7 = 0. Calculate m.
-10, 1, 4, 6
Factor -4*r**3 + 108*r**2 - 896*r + 2112.
-4*(r - 12)*(r - 11)*(r - 4)
Factor -2*t**2/7 + 1146*t/7 - 10152/7.
-2*(t - 564)*(t - 9)/7
Find r such that -r**4/6 + 3*r**3/2 + 21*r**2/2 - 113*r/6 - 65 = 0.
-5, -2, 3, 13
What is s in -4*s**3 + 4400*s**2 + 80428*s + 76024 = 0?
-17, -1, 1118
Find x such that -541696*x**3/3 + 5960128*x**2/3 - 16193*x/3 + 11/3 = 0.
1/736, 11
Suppose 4*w**5 - 6384*w**4 + 25496*w**3 - 38224*w**2 + 25476*w - 6368 = 0. What is w?
1, 1592
Let -6*f**5 - 37173*f**4/2 + 4671*f**3 + 74346*f**2 - 18588*f = 0. Calculate f.
-3098, -2, 0, 1/4, 2
Determine f so that f**5/3 - 737*f**4/3 + 2183*f**3/3 + 13949*f**2/3 - 728*f - 4404 = 0.
-3, -1, 1, 6, 734
Factor p**3/2 - 371*p**2/2 + 20195*p/2 - 19825/2.
(p - 305)*(p - 6