11.
2*(a - 96907)**2/11
What is u in 5*u**2 + 100440*u + 200860 = 0?
-20086, -2
Let -2*g**4 + 662*g**3 - 3870*g**2 - 9734*g - 5200 = 0. Calculate g.
-1, 8, 325
Let 3*t**3 + 324*t**2 - 2052*t = 0. What is t?
-114, 0, 6
Determine h, given that -4*h**4 + 96*h**3 + 980*h**2 - 3552*h + 2480 = 0.
-10, 1, 2, 31
Suppose c**5 - 69678*c**4 + 1323647*c**3 - 8777358*c**2 + 22569732*c - 15046344 = 0. Calculate c.
1, 6, 69659
Factor -z**2/3 + 57520*z/3 + 38348.
-(z - 57522)*(z + 2)/3
Factor -2*j**2 - 62*j + 15540.
-2*(j - 74)*(j + 105)
Determine d so that 24*d**5 + 9380*d**4 - 1588*d**3 - 9380*d**2 + 1564*d = 0.
-391, -1, 0, 1/6, 1
Factor -2*y**3 - 22284*y**2 + 2831598*y - 89445384.
-2*(y - 63)**2*(y + 11268)
Solve -4*t**3 - 928*t**2 - 69632*t - 1703936 = 0.
-104, -64
Suppose 2*b**2 - 481*b/4 + 15 = 0. Calculate b.
1/8, 60
Solve -3*l**3 + 1998*l**2 - 7956*l + 7944 = 0 for l.
2, 662
Factor -2*x**2 - 1460*x + 147600.
-2*(x - 90)*(x + 820)
Determine w so that 5*w**4 + 1405*w**3 + 103485*w**2 + 670615*w + 938450 = 0.
-137, -5, -2
Suppose -2*y**2 + 154125*y - 77062 = 0. Calculate y.
1/2, 77062
Let -l**2/3 - 18008*l - 108036 = 0. What is l?
-54018, -6
What is f in 2*f**5/9 - 188*f**4/9 + 470*f**3/3 - 2944*f**2/9 + 1720*f/9 = 0?
0, 1, 2, 5, 86
Factor 5*d**3 - 610*d**2 - 7865*d - 23450.
5*(d - 134)*(d + 5)*(d + 7)
Suppose -52*v**5/3 + 405332*v**4/3 + 1278692*v**3/3 + 1403564*v**2/3 + 592640*v/3 + 62384/3 = 0. Calculate v.
-1, -2/13, 7798
Factor 3*n**3/4 - 21*n**2/2 + 135*n/4.
3*n*(n - 9)*(n - 5)/4
Factor d**3/5 + 2407*d**2/5 + 17136*d + 768204/5.
(d + 18)**2*(d + 2371)/5
Suppose -g**3/5 + 731*g**2/5 - 5791*g/5 + 5061/5 = 0. Calculate g.
1, 7, 723
Determine f, given that -f**2/2 + 45876*f - 1052303688 = 0.
45876
Find w such that -w**5 - 41478*w**4 + 41481*w**3 + 82958*w**2 = 0.
-41479, -1, 0, 2
Let -2*j**5/5 - 16*j**4 - 1002*j**3/5 - 1004*j**2 - 1760*j = 0. Calculate j.
-22, -8, -5, 0
Factor -2*b**2/5 - 10142*b + 659568/5.
-2*(b - 13)*(b + 25368)/5
Determine j, given that -5*j**3 + 13045*j**2 - 2094955*j - 2108005 = 0.
-1, 173, 2437
Factor -4*r**2 + 11892*r + 23800.
-4*(r - 2975)*(r + 2)
Determine s so that -s**4 + 387*s**3 - 1151*s**2 - 387*s + 1152 = 0.
-1, 1, 3, 384
Factor -5*a**2 + 4717230*a - 1112612943645.
-5*(a - 471723)**2
Factor -1167*u**2/8 - 1257*u/8 - 45/4.
-3*(u + 1)*(389*u + 30)/8
Suppose -v**4 - 15*v**3 - 75*v**2 - 145*v - 84 = 0. Calculate v.
-7, -4, -3, -1
Factor -i**2/4 - 3467*i/2 + 6935/4.
-(i - 1)*(i + 6935)/4
Factor 5*l**2 - 4*l - 28.
(l + 2)*(5*l - 14)
Factor g**3/3 - 479*g**2/3 + 2288*g + 4704960.
(g - 312)**2*(g + 145)/3
What is y in 3*y**4/4 + 3807*y**3/2 - 21*y**2/4 - 13329*y - 11421 = 0?
-2538, -2, -1, 3
Solve -w**4/2 - 1158*w**3 + 4635*w**2/2 - 1159*w = 0.
-2318, 0, 1
Suppose 3*n**2/5 - 144504*n + 8700585840 = 0. What is n?
120420
Let 3*i**2 - 148152*i + 1829084592 = 0. Calculate i.
24692
Factor 2*o**2/7 - 3208*o/7 - 74842/7.
2*(o - 1627)*(o + 23)/7
Factor 2*d**4/5 - 126*d**3/5 - 132*d**2/5 + 256*d/5.
2*d*(d - 64)*(d - 1)*(d + 2)/5
Factor -128*d**5/11 + 6432*d**4/11 - 113400*d**3/11 + 71442*d**2 - 1500282*d/11.
-2*d*(d - 3)*(4*d - 63)**3/11
Find t such that -t**3/6 + 7159*t**2/3 + 28639*t/6 + 7160/3 = 0.
-1, 14320
Factor -n**3/4 - 217*n**2.
-n**2*(n + 868)/4
Solve -57*r**2/5 + 149793*r/5 + 7884/5 = 0.
-1/19, 2628
Let 102245*b**4 - 2043470*b**3 - 2175740*b**2 - 30130*b - 105 = 0. Calculate b.
-1, -1/143, 21
Factor -q**2/3 - 28358*q + 170152/3.
-(q - 2)*(q + 85076)/3
Find d, given that 2*d**3/5 - 2658*d**2/5 = 0.
0, 1329
Factor j**2/10 + 90703*j/5 + 8227034209/10.
(j + 90703)**2/10
Factor 2*n**2 + 15022*n - 105252.
2*(n - 7)*(n + 7518)
Suppose 3*p**2/7 - 570*p - 48312/7 = 0. What is p?
-12, 1342
Determine h, given that h**3 + 544*h**2 - 171955*h + 11073902 = 0.
-782, 119
Solve -i**5 - 39*i**4 - 418*i**3 - 996*i**2 - 616*i = 0.
-22, -14, -2, -1, 0
Find n such that -5*n**4 + 135*n**3 + 8590*n**2 - 266220*n + 497080 = 0.
-43, 2, 34
Find x such that 5*x**3 + 220*x**2 + 775*x - 1000 = 0.
-40, -5, 1
Factor 4*t**2 - 169232*t + 1789966864.
4*(t - 21154)**2
Factor -10*c**3 + 1254*c**2 + 4660*c - 2064.
-2*(c - 129)*(c + 4)*(5*c - 2)
Suppose -4*c**3/5 - 10780*c**2 + 107812*c/5 - 53908/5 = 0. What is c?
-13477, 1
Suppose -2*z**4 - 8960*z**3 + 53832*z**2 - 64*z - 287104 = 0. What is z?
-4486, -2, 4
Determine c, given that -c**4/3 + 272*c**3/3 - 20782*c**2/3 + 103632*c - 435483 = 0.
9, 127
Let -z**4/6 - 187*z**3/3 + 1136*z**2/3 - 1520*z/3 = 0. What is z?
-380, 0, 2, 4
Determine l, given that -63*l**5 - 11901*l**4 + 7937*l**3/7 - 27*l**2 = 0.
-189, 0, 1/21
What is l in -12*l**4 + 614*l**3 - 930*l**2 - 41372*l - 73920 = 0?
-35/6, -2, 11, 48
Suppose -p**2/7 + 8*p + 3977/7 = 0. What is p?
-41, 97
Factor -2*v**3/5 + 102*v**2/5 + 324*v/5.
-2*v*(v - 54)*(v + 3)/5
Factor -2*h**4/3 - 1924*h**3/3 - 195718*h**2 - 59851792*h/3 - 1935415328/3.
-2*(h + 77)**2*(h + 404)**2/3
Factor r**2 - 64399*r - 128802.
(r - 64401)*(r + 2)
Factor -3*w**3 + 180*w**2 - 2607*w - 2790.
-3*(w - 31)*(w - 30)*(w + 1)
Factor s**3 + 2661*s**2 - 5325*s + 2663.
(s - 1)**2*(s + 2663)
Factor 578*w**2 + 220116*w + 20956338.
2*(17*w + 3237)**2
Find i such that 2*i**4/5 + 3082*i**3/5 + 72976*i**2/5 + 48544*i = 0.
-1517, -20, -4, 0
Factor r**2 + 3973*r/3 + 1324/3.
(r + 1324)*(3*r + 1)/3
Let 18*o**5/13 + 778*o**4/13 + 2016*o**3/13 - 12768*o**2/13 - 22784*o/13 + 61440/13 = 0. Calculate o.
-40, -4, 16/9, 3
Factor -v**3/6 + 781*v**2/3 - 326368*v/3 + 16399616/3.
-(v - 752)**2*(v - 58)/6
Let 4*g**4 + 5020*g**3 + 1499928*g**2 - 47533680*g + 89027424 = 0. Calculate g.
-642, 2, 27
Factor 4*h**4 + 2191*h**3 + 1640*h**2 - 547*h.
h*(h + 1)*(h + 547)*(4*h - 1)
Factor -s**3/2 - 191*s**2 + 12135*s/2 - 46350.
-(s - 15)**2*(s + 412)/2
Let 4*o**3 - 40240*o**2 + 101404500*o - 1010025000 = 0. Calculate o.
10, 5025
Determine r, given that -r**4 + 644*r**3 + 5862*r**2 + 9788*r + 4571 = 0.
-7, -1, 653
Determine t so that -t**5/2 + 73*t**4/2 - 1247*t**3/2 + 1175*t**2/2 = 0.
0, 1, 25, 47
Find y such that y**3 - 2138*y**2 - 8573*y + 10710 = 0.
-5, 1, 2142
Determine k so that 3*k**5 + 432*k**4 + 22866*k**3 + 538764*k**2 + 5321763*k + 14022732 = 0.
-47, -23, -4
Suppose -17*x**3 - 1477*x**2 - 1288*x + 172 = 0. Calculate x.
-86, -1, 2/17
Factor -4*x**4/7 - 20*x**3/7 - 36*x**2/7 - 4*x - 8/7.
-4*(x + 1)**3*(x + 2)/7
Suppose 8*f**4/9 - 22238*f**3/3 - 116770*f**2/9 - 11122*f/3 + 16682/9 = 0. Calculate f.
-1, 1/4, 8341
Find f, given that 5*f**4/3 - 5911*f**3 - 95894*f**2/3 - 11840*f = 0.
-5, -2/5, 0, 3552
Factor -3*u**2/2 - 60*u + 2067/2.
-3*(u - 13)*(u + 53)/2
Find q such that 3*q**2/2 - 745719*q/2 = 0.
0, 248573
Find q such that -q**3/8 + 12*q**2 - 695*q/8 - 99 = 0.
-1, 9, 88
Factor u**3 + 547*u**2 - 31748*u + 31200.
(u - 52)*(u - 1)*(u + 600)
Find k such that -26*k**4/11 + 13030*k**3/11 - 2124618*k**2/11 + 111701066*k/11 - 17134540/11 = 0.
2/13, 115, 193
Find z, given that -4*z**3 + 720*z**2 - 13712*z - 30336 = 0.
-2, 24, 158
Factor v**2 - 307*v + 14442.
(v - 249)*(v - 58)
Suppose 4*j**5/7 - 220*j**4/7 + 216*j**3 - 248*j**2/7 - 5932*j/7 - 564 = 0. What is j?
-1, 3, 7, 47
Factor -3*l**3/7 + 111189*l**2/7 - 1030193880*l/7 - 1030305072/7.
-3*(l - 18532)**2*(l + 1)/7
Determine l, given that 22*l**4/5 + 46*l**3/5 - 62*l**2/5 - 6*l/5 = 0.
-3, -1/11, 0, 1
Factor 200*v**4/7 + 720*v**3/7 + 54*v**2 + 54*v/7.
2*v*(v + 3)*(10*v + 3)**2/7
Solve 3*c**5 - 259*c**4 - 1825*c**3 - 3245*c**2 - 938*c + 744 = 0.
-4, -2, -1, 1/3, 93
Solve 4*v**2/7 + 23084*v - 323192/7 = 0.
-40399, 2
Factor -250*d**2/3 - 135*d/2 - 2/3.
-(5*d + 4)*(100*d + 1)/6
Factor -4*j**3 + 7976*j**2 - 4549380*j + 549219600.
-4*(j - 915)**2*(j - 164)
Let 144*u**5 - 924*u**4 - 296*u**3 + 4372*u**2 - 2688*u + 432 = 0. What is u?
-9/4, 1/3, 2, 6
Factor 2*p**4 - 1068*p**3 + 141474*p**2 + 303376*p - 2154720.
2*(p - 268)**2*(p - 3)*(p + 5)
Let -d**4/10 + 123*d**3/10 + 1937*d**2/5 = 0. What is d?
-26, 0, 149
Factor -p**4 + 188*p**3 + 189*p**2.
-p**2*(p - 189)*(p + 1)
Determine m so that -2*m**4/7 - 3672*m**3 + 25706*m**2/7 = 0.
-12853, 0, 1
Factor -4*r**2 - 2892*r.
-4*r*(r + 723)
Factor 4*y**2 + 236*y - 38544.
4*(y - 73)*(y + 132)
What is i in 4*i**5/9 - 12740*i**4/9 + 38176*i**3/9 + 25504*i**2/9 - 152768*i/9 + 101824/9 = 0?
-2, 1, 2, 3182
Find n, given that 4*n**2/9 - 520*n/3 + 3104/9