 + 320045*q**2 + 365828580*q + 26128980 = 0.
-2286, -1/14
Factor 2*b**2/19 - 1048*b + 278376/19.
2*(b - 9942)*(b - 14)/19
Find l such that -15*l**2/7 + 3621*l/7 - 1446/7 = 0.
2/5, 241
Determine j so that 7*j**2/3 - 119113*j/3 + 5672 = 0.
1/7, 17016
Factor -4*t**2/3 - 383872*t/3 - 9209857024/3.
-4*(t + 47984)**2/3
Let -2*g**5/11 + 8*g**4/11 + 78*g**3/11 - 4*g**2 - 496*g/11 - 384/11 = 0. Calculate g.
-4, -2, -1, 3, 8
Determine m so that 4*m**5 - 96*m**4 - 940*m**3 - 2616*m**2 - 2304*m = 0.
-3, -2, 0, 32
Factor 2*n**3/17 + 9800*n**2/17 - 58872*n/17.
2*n*(n - 6)*(n + 4906)/17
Solve 33*q**5 + 536*q**4 + 1029*q**3 - 142*q**2 - 612*q + 56 = 0 for q.
-14, -2, -1, 1/11, 2/3
Let -2*j**2/7 - 17712*j/7 - 53118/7 = 0. What is j?
-8853, -3
What is k in -k**2 + 288*k + 10593 = 0?
-33, 321
What is v in -2*v**3/3 + 6716*v**2/3 - 5638082*v/3 = 0?
0, 1679
Determine b, given that -18*b**5/7 - 72*b**4/7 - 58*b**3/7 + 60*b**2/7 + 72*b/7 + 16/7 = 0.
-2, -2/3, -1/3, 1
Factor 3*u**3/7 + 375*u**2/7 + 1104*u/7 + 732/7.
3*(u + 1)*(u + 2)*(u + 122)/7
Factor -p**2/4 + 160887*p - 25884626769.
-(p - 321774)**2/4
Determine x so that 4*x**2 - 81936*x - 81940 = 0.
-1, 20485
Factor -z**2 - 125482*z - 3936433081.
-(z + 62741)**2
Solve -5*i**4 - 210*i**3 + 795*i**2 + 15260*i - 15840 = 0.
-44, -8, 1, 9
Let 5*v**2 - 3745*v = 0. What is v?
0, 749
Solve -4*n**2 + 1203368*n - 90505908964 = 0 for n.
150421
Let -10*q**2/7 - 31*q + 825/7 = 0. What is q?
-25, 33/10
Factor 3*l**2/2 + 145038*l.
3*l*(l + 96692)/2
Let 2*g**5/9 + 170*g**4/9 - 244*g**3 - 896*g**2 = 0. What is g?
-96, -3, 0, 14
Factor a**4 - 393*a**3 + 2306*a**2 + 6192*a.
a*(a - 387)*(a - 8)*(a + 2)
Factor -4*b**4 + 3235*b**3 + 13817*b**2 + 3252*b.
-b*(b - 813)*(b + 4)*(4*b + 1)
Suppose 5*a**3 + 33310*a**2 + 66605*a + 33300 = 0. Calculate a.
-6660, -1
What is j in -j**5/7 - 86903*j**4/7 - 24829*j**3 - 86901*j**2/7 = 0?
-86901, -1, 0
Factor 4*v**3 - 459*v**2 + 8349*v + 2116.
(v - 92)*(v - 23)*(4*v + 1)
What is p in p**5/5 + 217*p**4/5 + 15303*p**3/5 + 342707*p**2/5 - 358228*p/5 = 0?
-83, -52, 0, 1
Factor -3*y**3/7 + 1110*y**2/7 - 2199*y/7 - 3312/7.
-3*(y - 368)*(y - 3)*(y + 1)/7
Factor 3*r**5 + 9*r**4 - 1866*r**3 - 5622*r**2 - 5625*r - 1875.
3*(r - 25)*(r + 1)**3*(r + 25)
Find g, given that 4*g**4 + 5660*g**3 + 11304*g**2 = 0.
-1413, -2, 0
Solve o**2 - 1421*o - 52452 = 0.
-36, 1457
Let -2*t**2/15 - 8282*t/15 + 8284/15 = 0. What is t?
-4142, 1
Suppose -u**3/3 - 7250*u**2/3 - 14491*u - 21732 = 0. What is u?
-7244, -3
Find s, given that -2*s**2/21 + 568*s/21 + 29230/7 = 0.
-111, 395
Suppose f**3 - 3213*f**2 - 19314*f = 0. What is f?
-6, 0, 3219
Determine b so that -2*b**3/3 + 622*b**2/3 + 365984*b/3 - 734440/3 = 0.
-301, 2, 610
Find j, given that 11*j**5/2 + 27*j**4 - 27*j**3/2 - 131*j**2 + 12*j = 0.
-4, -3, 0, 1/11, 2
Suppose 25*p**4/6 + 515*p**3/6 - 8180*p**2/3 + 3230*p/3 = 0. What is p?
-38, 0, 2/5, 17
Factor 3*j**3 + 258*j**2 - 17187*j + 208278.
3*(j - 29)*(j - 18)*(j + 133)
Find f such that -2*f**3 + 614*f**2 + 22610*f + 197098 = 0.
-17, 341
Let -4*m**4 - 1636*m**3 - 38472*m**2 - 27072*m + 221184 = 0. What is m?
-384, -24, -3, 2
Factor -3*w**2/7 - 4134*w/7 - 4113.
-3*(w + 7)*(w + 1371)/7
Let -3*w**3 - 189036*w**2 + 756192*w = 0. Calculate w.
-63016, 0, 4
Suppose -h**5 + 148*h**4 - 2329*h**3 + 13614*h**2 - 33228*h + 28296 = 0. What is h?
2, 3, 6, 131
Factor 5*g**2 + 11740*g + 290375.
5*(g + 25)*(g + 2323)
Factor -4*l**3/5 - 112*l**2/5 + 12044*l/5 - 11928/5.
-4*(l - 42)*(l - 1)*(l + 71)/5
Factor t**4/5 - 88*t**3/5 + 330*t**2 + 3568*t/5 + 1829/5.
(t - 59)*(t - 31)*(t + 1)**2/5
Suppose 5*o**3 + 5385*o**2 + 32050*o - 85680 = 0. What is o?
-1071, -8, 2
Factor -m**2 - 3074*m/9 - 4760/9.
-(m + 340)*(9*m + 14)/9
Factor -k**3/3 - 65*k**2/3 + 15211*k - 15189.
-(k - 183)*(k - 1)*(k + 249)/3
Suppose -2*k**2/13 - 10000*k/13 - 19992/13 = 0. Calculate k.
-4998, -2
Factor -172*i**2 + 46448*i - 2160.
-4*(i - 270)*(43*i - 2)
Solve -r**4/9 - 4796*r**3/3 - 52083502*r**2/9 - 791018668*r/3 - 27202894489/9 = 0 for r.
-7171, -23
Factor 5*n**3 + 26065*n**2 + 104200*n + 104180.
5*(n + 2)**2*(n + 5209)
Determine n so that -2*n**4/13 + 1198*n**3/13 - 13282*n**2 - 2024590*n/13 - 3348900/13 = 0.
-9, -2, 305
Factor -t**2/11 - 646*t/11 + 10592/11.
-(t - 16)*(t + 662)/11
Solve -147*u**5 + 98553*u**4 + 5819487*u**3 - 2560353*u**2 - 2879040*u - 478500 = 0 for u.
-55, -2/7, 1, 725
Find i such that -i**2 - 336236*i - 28263661924 = 0.
-168118
Factor 2*c**3 - 27986*c**2 + 167862*c - 251766.
2*(c - 13987)*(c - 3)**2
Factor c**4 - 368*c**3 + 36672*c**2 - 518144*c + 1982464.
(c - 176)**2*(c - 8)**2
Find s, given that 6*s**3/5 - 7154*s**2/5 + 426736*s - 710432/5 = 0.
1/3, 596
Factor -3*q**3 + 1233*q**2 + 32358*q + 149112.
-3*(q - 436)*(q + 6)*(q + 19)
Let -2*s**3/9 + 2942*s**2/9 + 17834*s/9 - 162470/9 = 0. Calculate s.
-11, 5, 1477
Factor -4*g**2/7 - 2902992*g/7 - 526710159504/7.
-4*(g + 362874)**2/7
Factor 2*w**2/11 + 28*w + 5586/11.
2*(w + 21)*(w + 133)/11
Let -3*v**5 + 540*v**4 + 12003*v**3 - 540*v**2 - 12000*v = 0. Calculate v.
-20, -1, 0, 1, 200
Let -3*o**4 + 4992*o**3 - 44622*o**2 - 104232*o - 54615 = 0. What is o?
-1, 11, 1655
Factor q**3 + 346*q**2 - 1045*q + 698.
(q - 2)*(q - 1)*(q + 349)
Determine k so that 5*k**3 - 920*k**2 + 28595*k + 29520 = 0.
-1, 41, 144
Find q such that 100*q**2 - 426*q - 370 = 0.
-37/50, 5
Solve x**3/3 - 460*x**2/3 - 3824*x - 23232 = 0 for x.
-12, 484
Suppose b**2/2 - 423*b/2 - 1287 = 0. What is b?
-6, 429
Factor 3*r**3/5 - 113712*r**2/5 + 1077534912*r/5.
3*r*(r - 18952)**2/5
Determine d so that 52*d**5 - 4640*d**4 + 31696*d**3 - 71496*d**2 + 53244*d - 8856 = 0.
3/13, 1, 3, 82
Factor -2*m**3/5 + 78*m**2/5 + 1002*m/5 - 1078/5.
-2*(m - 49)*(m - 1)*(m + 11)/5
Solve -2*r**2 + 18*r + 4472 = 0 for r.
-43, 52
Factor -o**3 + 1525*o**2 - 1522*o - 3048.
-(o - 1524)*(o - 2)*(o + 1)
Find m, given that 2*m**5/5 + 54*m**4/5 - 612*m**3/5 - 1484*m**2/5 + 12642*m/5 + 6174 = 0.
-35, -3, 7
Find a such that 5*a**3 + 75*a**2 - 770*a = 0.
-22, 0, 7
Factor 4*a**4 - 216*a**3 - 19344*a**2 - 286624*a.
4*a*(a - 106)*(a + 26)**2
Factor 5*y**2 - 284580*y - 284585.
5*(y - 56917)*(y + 1)
Let 2*f**5/5 + 2504*f**4 - 112798*f**3/5 + 275836*f**2/5 - 64*f/5 - 401216/5 = 0. Calculate f.
-6269, -1, 2, 4
Factor 32*b**4/7 + 656*b**3 + 15746*b**2/7 - 1527168*b + 173426688/7.
2*(b + 96)**2*(4*b - 97)**2/7
Factor d**2/2 - 397*d + 58604.
(d - 598)*(d - 196)/2
Determine s, given that s**4/3 + 34*s**3/3 + 293*s**2/3 + 656*s/3 + 132 = 0.
-22, -9, -2, -1
Solve -3*h**5/2 - 693*h**4/2 - 2643*h**3/2 + 18549*h**2/2 + 18063*h - 73548 = 0.
-227, -6, -4, 3
Find v such that -2*v**3/3 + 136*v**2/3 + 2*v/3 - 136/3 = 0.
-1, 1, 68
Determine n, given that 4*n**5 + 1468*n**4 + 177048*n**3 + 6707216*n**2 - 36996256*n + 45723648 = 0.
-128, -122, 2, 3
Factor 3*f**2 - 16266*f.
3*f*(f - 5422)
Factor -w**2 - 321*w - 25670.
-(w + 151)*(w + 170)
Factor d**5/6 - 317*d**4/3 + 67712*d**3/3 - 5020807*d**2/3 + 62856959*d/6 + 36517316/3.
(d - 209)**3*(d - 8)*(d + 1)/6
Factor -2*r**3/7 + 4586*r**2/7 - 2825166*r/7 + 31517226.
-2*(r - 1101)**2*(r - 91)/7
Determine k so that -4*k**5 - 88*k**4 + 76*k**3 + 1552*k**2 - 2640*k = 0.
-22, -5, 0, 2, 3
Suppose w**2 + 82880*w + 1717273600 = 0. Calculate w.
-41440
Factor q**2 + 3044*q + 2316484.
(q + 1522)**2
Find v such that 4*v**4/3 - 4*v**3 - 88*v**2/3 + 32*v = 0.
-4, 0, 1, 6
Let -3*p**3 - 6642*p**2 - 3622635*p + 59674800 = 0. What is p?
-1115, 16
Factor -h**3 + 257*h**2 + 3256*h - 7532.
-(h - 269)*(h - 2)*(h + 14)
What is z in z**4 + 1432*z**3 - 12969*z**2 = 0?
-1441, 0, 9
Find d such that -d**2/5 + 6454*d/5 - 6453/5 = 0.
1, 6453
Factor -3*f**4 + 81*f**3 + 468*f**2 + 384*f.
-3*f*(f - 32)*(f + 1)*(f + 4)
Suppose -26*x**5 - 49084*x**4 - 23161984*x**3 + 3564544*x**2 = 0. Calculate x.
-944, 0, 2/13
Determine l so that 5*l**4 + 320230*l**3 + 5127682865*l**2 + 10254405060*l + 5127042420 = 0.
-32022, -1
Factor 2*w**3/7 - 483002*w**2 + 1428905268016*w/7 + 1428908649032/7.
2*(w - 845254)**2*(w + 1)/7
Solve 3*m**3 + 307378*m**2 + 7873333780*m - 5249025800 = 0 for m.
-51230, 2/3
Factor 2*a**2/7 - 37074*a/7 + 5296.
2*(a - 18536)*(a - 1)/7
Suppose -5*x**4 + 180*x**3 - 1575*x**2 + 5240*x - 6000 = 0. What is x?
3, 4, 25
Factor -2*s**2 + 1850*s + 334800.
-2*(s - 1080)*(s + 155)
Solve