621*i**3 - 12615*i**2 + 12621*i + 12618 = 0. Calculate i.
-4206, -1, 1
Solve -2271*b**4 - 227106*b**3 - 447987*b**2 - 223740*b - 588 = 0 for b.
-98, -1, -2/757
Factor 2*h**3/7 - 90*h**2/7 + 856*h/7 + 2088/7.
2*(h - 29)*(h - 18)*(h + 2)/7
Suppose -20*y**3 - 1808*y**2 - 22000*y - 8512 = 0. What is y?
-76, -14, -2/5
Solve 2*j**3/9 + 1670*j**2/3 - 6156*j - 130832/9 = 0.
-2516, -2, 13
Solve -j**2 - 181*j + 2112 = 0.
-192, 11
Solve 578*w**3/3 + 3460*w**2 - 12282*w + 504 = 0 for w.
-21, 12/289, 3
Solve 2*b**5 + 603452*b**4 + 45521099864*b**3 + 273112116496*b**2 + 546214577920*b + 364139833600 = 0.
-150860, -2
Factor -f**2/2 + 117*f/2 - 1558.
-(f - 76)*(f - 41)/2
Let 2*j**4/3 + 9374*j**3/7 + 40516*j**2 + 83624*j/3 - 79120/7 = 0. Calculate j.
-1978, -30, -1, 2/7
Find v such that v**2/2 + 823*v/2 + 34263 = 0.
-729, -94
Suppose -17*g**2/7 + 2970*g/7 + 4961 = 0. What is g?
-11, 3157/17
Factor -p**4 + 54*p**3 + 3205*p**2 + 3150*p.
-p*(p - 90)*(p + 1)*(p + 35)
Factor 3*d**3/4 + 1617*d**2/4 + 11787*d - 12192.
3*(d - 1)*(d + 32)*(d + 508)/4
Solve 2*z**5/5 + 28*z**4 + 2222*z**3/5 - 11004*z**2/5 - 100224*z/5 + 108864/5 = 0.
-36, -6, 1, 7
Factor 2*h**2 - 46636*h + 271864562.
2*(h - 11659)**2
Suppose s**3/5 - 280454*s**2/5 + 19663611529*s/5 = 0. What is s?
0, 140227
Determine s so that -1458*s**3 + 15822*s**2 + 2368*s + 88 = 0.
-2/27, 11
Solve -5*l**4 - 878770*l**3 - 878760*l**2 + 878770*l + 878765 = 0 for l.
-175753, -1, 1
Factor 5*h**2 + 2550*h - 133920.
5*(h - 48)*(h + 558)
Find c such that c**5/4 + 59*c**4/2 + 993*c**3/2 - 46057*c**2 - 5446651*c/4 + 5806203/2 = 0.
-53, 2, 39
Factor -2*c**4 - 58*c**3 + 888*c**2 - 3808*c + 5248.
-2*(c - 4)**3*(c + 41)
Factor -4*g**3 + 25084*g**2 - 425561*g + 1807406.
-(g - 6254)*(2*g - 17)**2
Factor 3*b**3 + 22542*b**2 + 42480075*b + 506520036.
3*(b + 12)*(b + 3751)**2
Factor -5*d**3 - 370*d**2 + 66005*d + 133450.
-5*(d - 85)*(d + 2)*(d + 157)
Factor 21*z**2 - 29556*z - 16896.
3*(z - 1408)*(7*z + 4)
Suppose 5*h**5 + 125*h**4 - 1890*h**3 + 3240*h**2 = 0. Calculate h.
-36, 0, 2, 9
Factor -l**2/3 + 3075*l - 9224/3.
-(l - 9224)*(l - 1)/3
Suppose -2*d**5/7 - 312*d**4/7 - 372*d**3 + 6152*d**2/7 - 462*d = 0. Calculate d.
-147, -11, 0, 1
Suppose -k**5 + 1765*k**4 + 3533*k**3 + 1767*k**2 = 0. What is k?
-1, 0, 1767
Find f such that 3*f**5/2 - 2973*f**4/2 + 5913*f**3/2 + 20757*f**2/2 + 5934*f = 0.
-1, 0, 4, 989
Factor h**3/5 - 4327*h**2/5.
h**2*(h - 4327)/5
Factor -k**2/2 - 29907*k - 894428649/2.
-(k + 29907)**2/2
Factor 3*o**2 - 1425*o - 17532.
3*(o - 487)*(o + 12)
Find u such that -2*u**3/9 + 332824*u**2/9 + 665654*u/9 + 332828/9 = 0.
-1, 166414
Factor 3*n**2/4 - 1716429*n/4.
3*n*(n - 572143)/4
Solve -4*p**5 - 76*p**4 + 440*p**3 + 12384*p**2 - 3456*p - 483840 = 0.
-12, 7, 10
Find s, given that -s**2/2 + 477*s/2 - 2106 = 0.
9, 468
Let 3*a**4/2 - 33*a**3 + 252*a**2 - 768*a + 768 = 0. What is a?
2, 4, 8
Let 5*w**4 + 132795*w**3 + 881659200*w**2 - 881792000*w = 0. What is w?
-13280, 0, 1
Determine x so that -828*x**3/11 + 2094*x**2/11 + 1182*x/11 - 36/11 = 0.
-1/2, 2/69, 3
Let -1527*u**4 + 7641*u**3 + 38145*u**2 - 191025*u + 750 = 0. What is u?
-5, 2/509, 5
Factor 4*p**3 + 852*p**2 + 26328*p + 49280.
4*(p + 2)*(p + 35)*(p + 176)
Factor 3*n**3/8 - 18*n**2 + 465*n/2 - 396.
3*(n - 24)*(n - 22)*(n - 2)/8
Factor f**3/4 - 22*f**2 + 1109*f/4 - 511/2.
(f - 73)*(f - 14)*(f - 1)/4
Suppose -2*t**4 + 228*t**3 - 6722*t**2 + 12768*t - 6272 = 0. Calculate t.
1, 56
Determine i, given that -8*i**3/3 - 8036*i**2/3 + 36308*i/3 - 16144/3 = 0.
-1009, 1/2, 4
Let 225*q**5 + 12735*q**4 - 18325*q**3 - 3035*q**2 + 8980*q - 580 = 0. Calculate q.
-58, -2/3, 1/15, 1
Find z, given that -15*z**2 - 3175*z - 8360 = 0.
-209, -8/3
Let 2*q**5 - 4546*q**4 + 2576412*q**3 + 7815784*q**2 - 25900880*q = 0. What is q?
-5, 0, 2, 1138
Factor 4*g**3/7 - 328*g**2/7 - 2916*g/7 + 3240/7.
4*(g - 90)*(g - 1)*(g + 9)/7
Factor -t**2 - 315302*t.
-t*(t + 315302)
Factor -c**2/5 + 1721*c - 119490.
-(c - 8535)*(c - 70)/5
What is c in 2*c**2/3 - 157024*c + 9246201216 = 0?
117768
Suppose s**5/4 + 75*s**4/4 + 625*s**3/2 + 4375*s**2/2 + 28125*s/4 + 34375/4 = 0. What is s?
-55, -5
Find s, given that 5*s**5/6 + 1150*s**4/3 + 82615*s**3/2 - 771335*s**2/3 + 1561270*s/3 - 349020 = 0.
-277, -189, 2
Suppose -3*w**3 + 10941*w**2 = 0. What is w?
0, 3647
Factor 2013406641*y**2 - 89742*y + 1.
(44871*y - 1)**2
Let -3*v**4 - 114*v**3 + 3012*v**2 + 139986*v + 800415 = 0. What is v?
-33, -7, 35
Factor -h**3/3 - 581*h**2 - 227337*h + 69186227/3.
-(h - 83)*(h + 913)**2/3
Determine f so that 3*f**4/2 + 1257*f**3/2 + 139461*f**2/2 + 1607151*f/2 = 0.
-203, -13, 0
Factor 4*z**2 + 62120*z + 186324.
4*(z + 3)*(z + 15527)
Factor 3*f**3 + 111*f**2 - 5274*f - 22680.
3*(f - 30)*(f + 4)*(f + 63)
Determine z, given that 2*z**3 - 20410*z**2 - 224804*z + 531232 = 0.
-13, 2, 10216
Find n such that 2*n**5 + 20*n**4 + 8*n**3 - 84*n**2 + 54*n = 0.
-9, -3, 0, 1
Factor -i**2/6 + 188645*i/6 - 94322/3.
-(i - 188644)*(i - 1)/6
Suppose 376*i**4 + 34020*i**3 + 49660*i**2 + 15660*i - 356 = 0. What is i?
-89, -1, -1/2, 1/47
Find c such that c**5 + 51*c**4 - 457*c**3 + 893*c**2 + 456*c - 944 = 0.
-59, -1, 1, 4
Factor -3*y**3/5 - 9228*y**2/5 - 7105551*y/5 - 14174214/5.
-3*(y + 2)*(y + 1537)**2/5
Let -3*b**2 + 9240*b - 73728 = 0. Calculate b.
8, 3072
Factor 3*b**4 - 30*b**3 - 4833*b**2 + 4860*b.
3*b*(b - 45)*(b - 1)*(b + 36)
What is t in 2*t**4/3 + 6*t**3 - 156*t**2 - 512*t/3 + 320 = 0?
-20, -2, 1, 12
Suppose v**5 + 227*v**4 + 8395*v**3 + 89313*v**2 + 81144*v = 0. Calculate v.
-184, -21, -1, 0
Factor 3*p**3/2 + 231*p**2/2 + 708*p - 1890.
3*(p - 2)*(p + 9)*(p + 70)/2
Solve 2*f**4/5 + 38*f**3/5 + 226*f**2/5 + 442*f/5 + 252/5 = 0 for f.
-9, -7, -2, -1
Let -g**2 - 74380*g - 1383096100 = 0. What is g?
-37190
Solve -3*i**3/7 - 3303*i**2/7 - 29508*i/7 - 3744 = 0.
-1092, -8, -1
What is y in 45*y**2/2 + 1177*y/4 + 91/4 = 0?
-13, -7/90
Factor -4*w**2 + 57828*w - 57824.
-4*(w - 14456)*(w - 1)
Factor -63*d**3 + 561*d**2 + 54*d.
-3*d*(d - 9)*(21*d + 2)
Let -5*j**2 - 486900*j + 2921580 = 0. What is j?
-97386, 6
What is a in -2*a**4/7 - 1538*a**3/7 - 374664*a**2/7 - 23414624*a/7 + 192488320 = 0?
-268, 35
Determine q so that q**3/5 + 827384*q**2/5 - 1654771*q/5 + 827386/5 = 0.
-827386, 1
Suppose b**2/4 - 975*b + 96875/4 = 0. Calculate b.
25, 3875
Determine u, given that 5*u**3 - 595*u**2 - 2485*u + 3075 = 0.
-5, 1, 123
Factor -4*z**2 - 2514192*z - 395072588304.
-4*(z + 314274)**2
Factor -2*f**2/5 + 638*f/5 - 7956/5.
-2*(f - 306)*(f - 13)/5
Suppose -3*n**4 - 450*n**3 + 3861*n**2 + 10812*n - 14220 = 0. What is n?
-158, -3, 1, 10
Suppose -5*q**5 + 20*q**4 + 1050*q**3 - 540*q**2 - 42525*q = 0. What is q?
-9, 0, 7, 15
Find s, given that -2*s**3/5 + 482*s**2/5 + 810*s - 16434/5 = 0.
-11, 3, 249
Factor 2*q**2/15 + 136*q - 100298/15.
2*(q - 47)*(q + 1067)/15
Factor -4*i**3 + 57548*i**2 - 207014540*i + 206956996.
-4*(i - 7193)**2*(i - 1)
Find o such that -3*o**4/2 - 263*o**3/6 + 403*o**2/3 + 32*o = 0.
-32, -2/9, 0, 3
Determine r so that -440*r**4 + 14075*r**3 - 96200*r**2 - 111975*r - 1260 = 0.
-1, -1/88, 12, 21
Determine u, given that -8*u**2/11 - 30498*u + 83870/11 = 0.
-41935, 1/4
Factor 6*o**2/11 - 288*o/11 - 48438/11.
6*(o - 117)*(o + 69)/11
Determine i, given that 5*i**3 - 1055*i**2 + 6150*i = 0.
0, 6, 205
Determine b so that -4*b**4/3 + 1112*b**3/3 - 70612*b**2/3 - 186496*b + 209664 = 0.
-8, 1, 117, 168
Let -v**2 - 3719316*v - 3458327876964 = 0. What is v?
-1859658
Factor o**3/5 + 3921*o**2/5 - 43222*o/5 + 23592.
(o - 6)*(o - 5)*(o + 3932)/5
Factor -3*n**3 + 45009*n**2 - 90009*n + 45003.
-3*(n - 15001)*(n - 1)**2
Factor 4*x**2 + 204*x - 69760.
4*(x - 109)*(x + 160)
Factor -2*f**4/17 - 30*f**3/17 - 52*f**2/17.
-2*f**2*(f + 2)*(f + 13)/17
Let 5*x**4 + 40*x**3 - 530*x**2 - 4840*x - 9075 = 0. What is x?
-11, -5, -3, 11
Let c**4/7 - 1378*c**3/7 - 9*c**2/7 + 12402*c/7 = 0. Calculate c.
-3, 0, 3, 1378
Factor -329163*w**2/4 + 164586*w - 9.
-3*(w - 2)*(109721*w - 6)/4
Factor 3*j**2/4 + 16329*j/4 + 460503/2.
3*(j + 57)*(j + 5386)/4
Let -2*r**2/7 - 66540*r/7 - 553446450/7 = 0. Calculate r.
-16635
Find x such that -4*x**5/7 + 804*x**4/7 - 17464*x**3/7 + 82296*x**2/7 + 31460*x + 119652/7 = 0.
-1, 13, 177
Factor -c**2 + 735*c - 3650.
-(c - 730)*(c - 5)
What is s in 3*s**4