2*(q + 1)
Suppose 5*j**3/3 - 2748095*j**2/3 + 125867560165*j - 125866644135 = 0. Calculate j.
1, 274809
Find m such that 2*m**5/7 - 250*m**4/7 - 6438*m**3/7 + 37162*m**2/7 + 1097044*m/7 = 0.
-17, 0, 13, 146
What is n in -6*n**2 + 122085*n = 0?
0, 40695/2
Factor 2*p**2 + 4664*p + 4662.
2*(p + 1)*(p + 2331)
Factor 2*n**2/3 - 5704*n/3 - 11416/3.
2*(n - 2854)*(n + 2)/3
Factor 2*m**3/11 + 7790*m**2 + 917547024*m/11 - 6427028664/11.
2*(m - 7)*(m + 21426)**2/11
Let -2*p**5/7 - 164*p**4/7 - 1082*p**3/7 + 138984*p**2/7 + 131976*p - 34354368/7 = 0. What is p?
-47, -24, 18
Factor 2*h**3/5 - 66*h**2/5 + 232*h/5.
2*h*(h - 29)*(h - 4)/5
Find c such that -3*c**5 + 132*c**4 + 447*c**3 - 1092*c**2 - 1740*c + 2256 = 0.
-4, -2, 1, 2, 47
Factor -k**3/2 - 71*k**2/4 - 208*k - 3211/4.
-(k + 13)**2*(2*k + 19)/4
Solve -100*k**3 - 12392*k**2 + 106592*k - 8448 = 0.
-132, 2/25, 8
Factor 3*v**2 + 675*v - 11568.
3*(v - 16)*(v + 241)
Suppose -2*u**5/7 + 34*u**4 + 119232*u**3/7 + 10545296*u**2/7 + 287599520*u/7 + 277173216/7 = 0. Calculate u.
-74, -1, 342
Determine d, given that d**3/4 - 555*d**2/4 + 823*d/2 + 1380 = 0.
-2, 5, 552
Determine s, given that -s**4 - 56*s**3 - 359*s**2 - 796*s - 588 = 0.
-49, -3, -2
Factor 4*i**3 + 50900*i**2 + 101788*i + 50892.
4*(i + 1)**2*(i + 12723)
Factor -5*g**4 - 1990*g**3 - 3645*g**2 + 124740*g.
-5*g*(g - 7)*(g + 9)*(g + 396)
Factor z**2/4 + 292991*z/4 - 73248.
(z - 1)*(z + 292992)/4
What is t in -82*t**4/3 + 514*t**3/3 - 22*t**2 - 1542*t + 2412 = 0?
-3, 3, 134/41
Factor -3*d**3 + 58227*d**2 - 232872*d + 232860.
-3*(d - 19405)*(d - 2)**2
Factor -2*m**5/3 + 17210*m**4/3 - 36945500*m**3/3 - 111146460*m**2 - 333749430*m - 333904482.
-2*(m - 4307)**2*(m + 3)**3/3
Solve 3*s**2 + 23376*s - 70155 = 0 for s.
-7795, 3
Solve 2*y**2/7 + 686*y + 9596/7 = 0.
-2399, -2
Factor 4*l**3 + 127*l**2 + 1063*l + 1650.
(l + 2)*(l + 11)*(4*l + 75)
Let -4*p**5 + 13244*p**4 + 4*p**3 - 13244*p**2 = 0. What is p?
-1, 0, 1, 3311
What is a in 5*a**4 + 7255*a**3 + 2635365*a**2 + 2613625*a - 5256250 = 0?
-725, -2, 1
Find a, given that -245*a**4 + 197260*a**3 - 1203975*a**2 + 1182920*a - 319600 = 0.
4/7, 5, 799
Determine w, given that 80*w**5 + 171000*w**4 - 85715*w**3 - 416995*w**2 - 181740*w - 21380 = 0.
-2138, -1, -1/4, 2
Factor -2*m**3 - 24186*m**2 - 72106272*m + 6152581504.
-2*(m - 83)*(m + 6088)**2
Find b such that -b**5/6 - 118565*b**4/6 - 158083*b**3/2 - 592807*b**2/6 - 118561*b/3 = 0.
-118561, -2, -1, 0
Suppose -2*l**4 + 36786*l**3 + 294384*l**2 + 588832*l = 0. What is l?
-4, 0, 18401
Factor 2*b**2/13 + 1506*b - 215600/13.
2*(b - 11)*(b + 9800)/13
Factor 3*l**3 + 1362*l**2 + 161172*l + 1478520.
3*(l + 10)*(l + 222)**2
Factor 637*r**2/11 - 521*r - 18/11.
(r - 9)*(637*r + 2)/11
Factor -2*f**3 + 7186*f**2 - 71678*f + 64494.
-2*(f - 3583)*(f - 9)*(f - 1)
Find x such that 3*x**5 + 60*x**4 + 108*x**3 - 6*x**2 - 111*x - 54 = 0.
-18, -1, 1
Factor o**3/5 - 58*o**2/5 - 1688*o/5 - 1152.
(o - 80)*(o + 4)*(o + 18)/5
Factor 35*t**3 + 1615*t**2 + 1740*t - 2700.
5*(t + 2)*(t + 45)*(7*t - 6)
Factor 20*l**3/7 - 11*l**2 - 36*l - 36/7.
(l - 6)*(l + 2)*(20*l + 3)/7
Let -b**3/6 - 21016*b**2/3 - 168107*b/6 + 105070/3 = 0. What is b?
-42028, -5, 1
Let 3*a**3/4 + 639*a**2/4 - 8775*a/2 + 17850 = 0. What is a?
-238, 5, 20
Factor i**3/6 + 265*i**2/2 - 398*i/3.
i*(i - 1)*(i + 796)/6
Factor -4*o**4 - 4824*o**3 - 1468836*o**2 - 8683200*o - 12960000.
-4*(o + 3)**2*(o + 600)**2
Let -3*y**4 - 23013*y**3 + 138150*y**2 - 276348*y + 184248 = 0. What is y?
-7677, 2
Factor -a**2/2 + 3670*a - 6734450.
-(a - 3670)**2/2
Determine p, given that 2*p**4/9 - 970*p**3/3 - 23384*p**2/9 - 11704*p/3 = 0.
-6, -2, 0, 1463
Factor -2*v**2/19 + 178*v/19 - 3816/19.
-2*(v - 53)*(v - 36)/19
Solve -n**5 - 25*n**4 + 171*n**3 + 577*n**2 - 1562*n + 840 = 0.
-30, -4, 1, 7
Factor -3*j**2/5 + 684*j + 31023/5.
-3*(j - 1149)*(j + 9)/5
Factor -3*m**3 - 336*m**2 + 3585*m - 9150.
-3*(m - 5)**2*(m + 122)
Suppose -4*t**5 - 9653*t**4 - 5858617*t**3 - 41985903*t**2 - 10130463*t = 0. Calculate t.
-1203, -7, -1/4, 0
Determine j so that j**2/5 - 760*j + 7596/5 = 0.
2, 3798
Factor -2*v**2/3 - 796*v/3 - 1310.
-2*(v + 5)*(v + 393)/3
Solve -130321*p**3 - 257754*p**2 + 5760*p - 32 = 0.
-2, 4/361
Factor 135*j**2 - 37975*j + 11240.
5*(j - 281)*(27*j - 8)
Find l, given that 3*l**2 - 514992*l + 22101396672 = 0.
85832
Let -3*v**5 - 27825*v**4 - 27819*v**3 + 27825*v**2 + 27822*v = 0. Calculate v.
-9274, -1, 0, 1
Let -10*s**5/7 + 276*s**4/7 - 1298*s**3/7 + 208*s**2 - 72*s/7 - 352/7 = 0. What is s?
-2/5, 1, 4, 22
Determine s, given that 3*s**2/4 - 35649*s/2 + 35646 = 0.
2, 23764
Determine a so that 2*a**2/7 + 987176*a/7 + 121814556872/7 = 0.
-246794
Suppose -2*n**2/5 - 692*n - 10362/5 = 0. Calculate n.
-1727, -3
Find u, given that -3*u**4 + 18972*u**3 - 29937762*u**2 - 180139140*u - 270465075 = 0.
-3, 3165
Factor 2*p**3 - 3010*p**2 + 128286*p + 412002.
2*(p - 1461)*(p - 47)*(p + 3)
Solve 2*z**2/7 - 132*z/7 - 45254/7 = 0 for z.
-121, 187
Factor 2*d**2 - 2434*d + 21744.
2*(d - 1208)*(d - 9)
Let 14*c**5/5 + 254*c**4/5 - 188*c**3/5 - 17504*c**2/5 - 34752*c/5 - 4608/5 = 0. What is c?
-12, -2, -1/7, 8
Solve -x**3/3 + 34*x**2 - 1691*x/3 + 1394 = 0 for x.
3, 17, 82
Suppose 5*u**4/6 + 170*u**3 - 155465*u**2/6 + 786330*u - 760590 = 0. Calculate u.
-313, 1, 54
Find j such that 36*j**5 + 17757*j**4/5 + 11359*j**3/5 - 10526*j**2/5 - 3916*j/5 + 392/5 = 0.
-98, -1, -2/5, 1/12, 2/3
Factor 3*z**4 + 30*z**3 + 36*z**2 - 216*z.
3*z*(z - 2)*(z + 6)**2
Factor -11*n**2 - 740*n + 1524.
-(n - 2)*(11*n + 762)
Find w such that -3*w**2/4 + 78453*w/2 - 470691/4 = 0.
3, 52299
Factor -5*t**2 + 514640*t - 13242716480.
-5*(t - 51464)**2
Suppose 5*x**5 - 1090*x**4 + 59340*x**3 + 14110*x**2 - 759185*x - 712860 = 0. Calculate x.
-3, -1, 4, 109
Factor -4*m**2/7 - 9328*m/7.
-4*m*(m + 2332)/7
Solve y**2/5 - 1554*y/5 - 311 = 0 for y.
-1, 1555
Determine s so that -s**2/2 - 7720*s + 77225/2 = 0.
-15445, 5
Factor 3*n**3/4 - 8025*n**2 - 192681*n/4 - 144531/2.
3*(n - 10706)*(n + 3)**2/4
Factor -b**3/4 + 5909*b**2/4 - 2953*b/2 - 2954.
-(b - 5908)*(b - 2)*(b + 1)/4
Let -f**5 - 113*f**4 - 2895*f**3 + 16933*f**2 - 13924*f = 0. What is f?
-59, 0, 1, 4
Let 3*p**3 + 504*p**2 + 3780*p - 9600 = 0. Calculate p.
-160, -10, 2
Let -3*a**4 - 57891*a**3/7 + 889722*a**2/7 - 35640*a = 0. Calculate a.
-2772, 0, 2/7, 15
Determine z, given that -z**2 - 179262*z - 8033716161 = 0.
-89631
Determine m so that 3*m**4/5 - 1599*m**3/5 - 642*m**2 = 0.
-2, 0, 535
Factor -25*w**2 + 19085*w - 102330.
-5*(w - 758)*(5*w - 27)
Let -2*b**3 + 25114*b**2 - 78851680*b + 78826568 = 0. Calculate b.
1, 6278
Find g, given that -g**5/4 - 255*g**4/4 + 257*g**3/4 + 255*g**2/4 - 64*g = 0.
-256, -1, 0, 1
Factor 2*a**2/5 - 1097304*a/5 + 150509508552/5.
2*(a - 274326)**2/5
Factor y**3/4 + 147*y**2/2 - 295*y/4.
y*(y - 1)*(y + 295)/4
Factor s**3/9 - 23*s**2/9 - 17015*s/3 - 452189.
(s - 269)*(s + 123)**2/9
Determine f so that 2*f**4 - 196*f**3 + 918*f**2 + 1116*f = 0.
-1, 0, 6, 93
Factor 2*l**4 + 80*l**3 - 3816*l**2 + 27904*l + 71680.
2*(l - 16)**2*(l + 2)*(l + 70)
Factor 5*d**4 - 53495*d**3 + 190798830*d**2 - 226923372820*d + 226732627480.
5*(d - 3566)**3*(d - 1)
Solve -5*j**3 + 91310*j**2 - 365175*j + 273870 = 0 for j.
1, 3, 18258
Factor 21395*s**2 - 42780*s - 20.
5*(s - 2)*(4279*s + 2)
Solve -r**3/4 - 2523*r**2/4 - 5661*r - 11313 = 0.
-2514, -6, -3
What is o in 4*o**5 - 449792*o**4 + 12644552701*o**3 + 337343*o**2 - 9483302080*o - 3161138176 = 0?
-1/2, 1, 56224
Factor -2*f**4/3 - 26*f**3/3 - 68*f**2/3 + 32*f.
-2*f*(f - 1)*(f + 6)*(f + 8)/3
Solve 35*z**4 + 41450*z**3 - 279955*z**2 - 83370*z = 0.
-1191, -2/7, 0, 7
Suppose -z**2 + 185408*z - 8594031616 = 0. Calculate z.
92704
Let -4*m**5 + 192*m**4 - 1788*m**3 + 6112*m**2 - 7104*m = 0. Calculate m.
0, 3, 4, 37
Factor 2*d**2/5 - 5918*d/5 + 5908.
2*(d - 2954)*(d - 5)/5
Solve b**5 - 51*b**4 - 472*b**3 = 0.
-8, 0, 59
Determine v so that -v**4 + 67*v**3 - 560*v**2 - 3076*v - 3360 = 0.
-2, 15, 56
Determine q, given that 2*q**4/5 - 1476*q**3/5 + 53568*q**2 + 1660608*q/5 = 0.
-6, 0, 372
Suppose -3*c**3/8 + 537*c**2/4 - 3201*c/8 + 1065/4 = 0. Calculate c.
1, 2, 355
Suppose -2*f**4/7 - 216*f**3/7 + 24884*f**2/7 + 366744*f - 13429890/7 = 0. Calculate f.
-111, 5, 109
Find v such that 3*v**4 + 61*v**3/3