
-447, -89
Find t, given that 3*t**3 - 6747*t**2 - 2871855*t - 281517201 = 0.
-189, 2627
Find n such that -1074*n**2 + 8174*n + 460 = 0.
-10/179, 23/3
Suppose -4*z**2/5 - 192*z/5 = 0. What is z?
-48, 0
Factor -v**2/3 - 6334*v/3 + 44387/3.
-(v - 7)*(v + 6341)/3
Factor -3*z**2 + 7248*z.
-3*z*(z - 2416)
Find l, given that -36*l**3/5 + 22232*l**2 + 1363904*l/5 + 59520 = 0.
-12, -2/9, 3100
Solve -3*v**2/8 + 1479*v/8 + 13797/4 = 0 for v.
-18, 511
Determine g, given that 2*g**5 + 81818*g**4 + 836650400*g**3 - 2510687608*g**2 + 327296*g + 3347583488 = 0.
-20456, -1, 2
Suppose 3*q**2 + 8937*q + 274164 = 0. Calculate q.
-2948, -31
Factor 4*s**5 - 524*s**4 - 13464*s**3.
4*s**3*(s - 153)*(s + 22)
Factor 19*a**2 + 2113*a + 444.
(a + 111)*(19*a + 4)
Determine n, given that -80*n**4 + 186760*n**3 - 8871605*n**2 + 4400790*n - 548640 = 0.
1/4, 48, 2286
Factor -p**3/6 - 353699*p**2/2 - 93827060101*p/2 + 281482241401/6.
-(p - 1)*(p + 530549)**2/6
What is t in -t**4/3 - 347*t**3/3 - 1340*t**2 = 0?
-335, -12, 0
Solve 4*m**4/5 - 159*m**3/5 + 52*m**2/5 + 13047*m/5 + 3256/5 = 0 for m.
-8, -1/4, 11, 37
Factor q**2 - 1655*q - 4974.
(q - 1658)*(q + 3)
Factor -3*w**2 + 219*w + 12210.
-3*(w - 110)*(w + 37)
What is t in 12*t**4/7 - 16060*t**3 - 74964*t**2/7 + 16060*t + 74952/7 = 0?
-1, -2/3, 1, 9369
Solve 2*f**4 + 114*f**3 + 1926*f**2 + 8694*f + 11664 = 0 for f.
-27, -24, -3
Find y, given that -3*y**4/5 - 384*y**3/5 - 13941*y**2/5 - 171504*y/5 - 399168/5 = 0.
-77, -24, -3
Suppose j**4/2 + 4238*j**3 + 38115*j**2 + 114318*j + 228609/2 = 0. What is j?
-8467, -3
Find v such that 3*v**4/8 + 343*v**3/4 + 447*v**2/2 - 567*v - 452 = 0.
-226, -4, -2/3, 2
Find p such that 18*p**4 + 540*p**3 - 7778*p**2 + 13796*p - 5904 = 0.
-41, 2/3, 4/3, 9
Suppose p**5/4 - 7*p**4/4 + p**3 + 3*p**2 = 0. What is p?
-1, 0, 2, 6
Factor -2*b**5 + 120*b**4 - 2250*b**3 + 12500*b**2.
-2*b**2*(b - 25)**2*(b - 10)
Factor 84*f**3 - 115250*f**2 + 39532808*f - 941192.
2*(f - 686)**2*(42*f - 1)
Factor -4*s**3 - 4976*s**2 - 88452*s - 220680.
-4*(s + 3)*(s + 15)*(s + 1226)
Let 9*f**2/7 - 26920*f/7 + 2991/7 = 0. Calculate f.
1/9, 2991
Suppose 2*u**3/3 + 52*u**2 - 326*u/3 - 160 = 0. What is u?
-80, -1, 3
Factor -3*v**3/7 - 1179*v**2/7 + 2370*v/7.
-3*v*(v - 2)*(v + 395)/7
Solve h**5/6 + h**4/6 - 10*h**3/3 - 10*h**2/3 + 32*h/3 + 32/3 = 0.
-4, -2, -1, 2, 4
Find d, given that 45*d**5 - 17985*d**4 - 863230*d**3 - 275730*d**2 + 474225*d - 95245 = 0.
-43, -1, 1/3, 443
Suppose -2*p**3 + 32*p**2 + 672*p = 0. What is p?
-12, 0, 28
Solve 3*t**2 + 15039*t - 271674 = 0 for t.
-5031, 18
Find o, given that -5*o**5 - 27520*o**4 + 30*o**3 + 165080*o**2 - 220145*o + 82560 = 0.
-5504, -3, 1
Find h such that 15*h**4 - 15414*h**3 + 4570872*h**2 - 300422304*h - 120901248 = 0.
-2/5, 92, 468
Find l, given that -2*l**5/3 - 6*l**4 + 126*l**3 - 1198*l**2/3 + 280*l = 0.
-20, 0, 1, 3, 7
Let 2*w**5/7 - 1158*w**4/7 + 168118*w**3/7 - 120578*w**2/7 - 6811152*w/7 + 2672672 = 0. Calculate w.
-7, 4, 289
Factor -o**3/3 + 133*o**2 - 13200*o - 40000/3.
-(o - 200)**2*(o + 1)/3
Factor 4*f**3/3 - 240*f**2 + 10244*f - 30016/3.
4*(f - 112)*(f - 67)*(f - 1)/3
Factor z**2 - 131190*z.
z*(z - 131190)
Factor n**2/4 - 223*n/4 + 1150.
(n - 200)*(n - 23)/4
Factor -2*w**2/5 + 851292*w/5 - 90587258658/5.
-2*(w - 212823)**2/5
Determine d, given that 3*d**3/2 + 906*d**2 + 134976*d - 554496 = 0.
-304, 4
Factor 98*f**4 - 462*f**3 + 254*f**2 + 102*f + 8.
2*(f - 4)*(f - 1)*(7*f + 1)**2
Factor s**4/4 - 257*s**3/4 + 7791*s**2/2 + 30096*s + 26136.
(s - 132)**2*(s + 1)*(s + 6)/4
Find n, given that -162*n**3/17 - 352224*n**2/17 - 78266*n/17 - 4348/17 = 0.
-2174, -1/9
Factor -4*s**3 + 11284*s**2 - 269088*s + 1611072.
-4*(s - 2797)*(s - 12)**2
Factor 141*o**2 + 156939*o + 6678.
3*(o + 1113)*(47*o + 2)
Let 2*k**3 + 8*k**2 - 1038*k + 5508 = 0. Calculate k.
-27, 6, 17
Let -5*y**2/4 + 23705*y/2 + 47415/4 = 0. Calculate y.
-1, 9483
Let 4*y**3 - 588*y**2 - 4932*y - 4340 = 0. What is y?
-7, -1, 155
Suppose -2*k**5 + 14098*k**4 - 33120896*k**3 + 25922586800*k**2 + 26022020000*k - 51911500000 = 0. Calculate k.
-2, 1, 2350
Suppose -s**4/5 - 4006*s**3/5 + 4009*s**2/5 + 8014*s/5 = 0. Calculate s.
-4007, -1, 0, 2
Suppose 15*v**5 - 235*v**4 - 1355*v**3 + 1075*v**2 + 500*v = 0. What is v?
-5, -1/3, 0, 1, 20
Factor -3*j**2 + 7305*j - 202188.
-3*(j - 2407)*(j - 28)
Factor 5*j**2 - 29800*j + 89355.
5*(j - 5957)*(j - 3)
Factor h**4/5 + 19*h**3/5 + 6*h**2 - 288*h/5.
h*(h - 3)*(h + 6)*(h + 16)/5
Factor 2*l**3 - 6294*l**2 - 25208*l.
2*l*(l - 3151)*(l + 4)
Let h**2/2 - 166956*h + 13937152968 = 0. Calculate h.
166956
Determine a, given that -a**4 + 13*a**3 + 19*a**2 - 217*a - 390 = 0.
-3, -2, 5, 13
Let 3*t**3/2 - 39*t**2 + 339*t/2 + 210 = 0. What is t?
-1, 7, 20
Let -y**4/6 - 851*y**3/3 - 778189*y**2/6 - 7657298*y - 121446006 = 0. Calculate y.
-818, -33
Suppose -3*t**2/2 + 150*t + 769743/2 = 0. What is t?
-459, 559
Suppose -405*t**4 + 469080*t**3 + 1778215*t**2 - 412530*t + 23240 = 0. Calculate t.
-4, 1/9, 1162
Factor -3*d**3/4 - 15312*d**2 - 312671031*d/4 - 312548547/2.
-3*(d + 2)*(d + 10207)**2/4
What is l in 3*l**3/4 - 59655*l**2/2 = 0?
0, 39770
Solve -5*h**3 + 255*h**2 - 1120*h - 1380 = 0 for h.
-1, 6, 46
Factor 4*n**3 - 23108*n**2 + 138540*n - 207756.
4*(n - 5771)*(n - 3)**2
Let 2*h**2 - 411956*h + 21213468242 = 0. What is h?
102989
Factor 2*t**2/7 - 198068*t/7 - 198070/7.
2*(t - 99035)*(t + 1)/7
Factor -2*m**2 - 178*m + 1140.
-2*(m - 6)*(m + 95)
Factor -5*n**3 + 62690*n**2 + 3143875*n + 39337500.
-5*(n - 12588)*(n + 25)**2
Suppose -w**2/5 + 5623*w + 759834/5 = 0. What is w?
-27, 28142
Solve 4*s**5 - 164*s**4 + 2036*s**3 - 5644*s**2 - 20808*s = 0 for s.
-2, 0, 9, 17
Factor 2*b**3/5 + 1378*b**2/5 + 1352*b/5 - 16512/5.
2*(b - 3)*(b + 4)*(b + 688)/5
Find a such that -a**2/4 - 2535*a/4 - 10076 = 0.
-2519, -16
Factor -3*u**2/5 + 102636*u/5 - 877845708/5.
-3*(u - 17106)**2/5
Factor o**2/2 + 1269*o/2 + 8785.
(o + 14)*(o + 1255)/2
Determine a, given that 3*a**4 - 1989*a**3 + 187758*a**2 = 0.
0, 114, 549
Suppose -8*k**5 - 674*k**4/7 - 524*k**3/7 + 1262*k**2/7 + 80*k/7 - 88/7 = 0. What is k?
-11, -2, -2/7, 1/4, 1
Factor 2*g**3/21 - 946*g**2/21 + 4688*g/21 - 1248/7.
2*(g - 468)*(g - 4)*(g - 1)/21
Factor 2*s**3/5 - 652*s**2/5 + 11702*s/5 - 11052/5.
2*(s - 307)*(s - 18)*(s - 1)/5
Factor -3*c**2/5 - 2565*c - 76842/5.
-3*(c + 6)*(c + 4269)/5
Suppose 2*m**2/7 + 1800*m/7 - 471488/7 = 0. Calculate m.
-1112, 212
Factor 4*m**3/3 - 1856*m**2 - 3716*m - 5576/3.
4*(m - 1394)*(m + 1)**2/3
Find g, given that -2*g**3/7 - 83362*g**2/7 - 868861248*g/7 - 4342222440/7 = 0.
-20838, -5
Determine n so that 45*n**3 - 6910*n**2 + 3805*n + 3060 = 0.
-4/9, 1, 153
Solve 2*h**3 - 288*h**2 - 1518*h + 4172 = 0 for h.
-7, 2, 149
Factor 2*x**2/11 - 736*x/11 + 52920/11.
2*(x - 270)*(x - 98)/11
Factor -2*a**2/3 - 1574*a/3 + 36920.
-2*(a - 65)*(a + 852)/3
Factor -3*o**2/8 + 71547*o/4 - 429255/8.
-3*(o - 47695)*(o - 3)/8
Factor -696864243*h**4 + 1393911378*h**3 - 697230039*h**2 + 182916*h - 12.
-3*(h - 1)**2*(15241*h - 2)**2
Let -4*z**5 + 336*z**4 - 968*z**3 - 336*z**2 + 972*z = 0. What is z?
-1, 0, 1, 3, 81
Solve 22*t**5 - 1084*t**4 + 12852*t**3 + 14960*t**2 - 64250*t + 37500 = 0 for t.
-30/11, 1, 25
Determine k so that -2*k**3/13 - 46*k**2 + 5008*k/13 + 29472/13 = 0.
-307, -4, 12
Solve 2*d**5/7 - 19650*d**4/7 + 48255484*d**3/7 + 48294788*d**2/7 - 48255486*d/7 - 48275138/7 = 0 for d.
-1, 1, 4913
Factor 3*v**2/7 + 3576*v/7 + 1065648/7.
3*(v + 596)**2/7
Factor 2*n**3/13 + 1962*n**2/13 + 15550*n/13 - 17514/13.
2*(n - 1)*(n + 9)*(n + 973)/13
Let 2*q**3/3 - 38*q**2/3 - 452*q/3 + 2288/3 = 0. Calculate q.
-11, 4, 26
Factor -2*u**2/13 + 396*u/13 - 5152/13.
-2*(u - 184)*(u - 14)/13
Factor -2*q**2 - 1542*q + 1544.
-2*(q - 1)*(q + 772)
Determine x, given that 2*x**5/11 - 3906*x**4/11 + 1901236*x**3/11 + 5731080*x**2/11 + 3825936*x/11 = 0.
-2, -1, 0, 978
Determine y so that 198*y**5 + 22850*y**4 + 652312*y**3 - 405312*y**2 - 243136*y - 26912 = 0.
-58, -2/9, -2/11, 1
Factor -2*i**2/9 - 760*i/9 - 758/9.
-2*(i + 1)*(i + 379)/9
Determine s so that 4*s**4 - 5444*s**3 + 5440*s**2 = 0.
0, 1, 1360
Factor 4*c**4 - 4320*c**3 - 30412*c**2 - 26088*c.
4*c*(c - 1087)*(c + 1)*(c + 6)
Find w such that -w**3/10 - 1419*w**2/10 - 45388*w/5 - 129792/5 = 0.
-1352, -64, -3
