- 808*k - 20640.
-4*(k + 30)*(k + 172)
Factor -4*i**2 + 16676*i - 16672.
-4*(i - 4168)*(i - 1)
Suppose -4*n**4 + 448*n**3 + 12288*n**2 - 2883584*n + 83886080 = 0. Calculate n.
-80, 64
What is s in -s**4/3 - 6*s**3 + 331*s**2/3 + 976*s - 2340 = 0?
-26, -9, 2, 15
Factor -t**2/4 + 387895*t/2 - 150462531025/4.
-(t - 387895)**2/4
Solve 4*a**4 + 480*a**3 - 2468*a**2 + 3984*a - 2000 = 0.
-125, 1, 2
Solve -3*u**3/4 - 1700*u**2 + 29519*u/4 - 2271 = 0 for u.
-2271, 1/3, 4
Factor -5*w**3/4 + 135645*w**2/4 - 230079330*w + 1149549025.
-5*(w - 13562)**2*(w - 5)/4
Factor k**2 - 157342*k.
k*(k - 157342)
Determine m so that m**3/3 - 283*m**2/6 + 70*m/3 + 47/2 = 0.
-1/2, 1, 141
Factor 5*r**2 + 50085*r.
5*r*(r + 10017)
Solve -2*v**3/13 - 7996*v**2/13 - 253886*v/13 - 245892/13 = 0.
-3966, -31, -1
Determine r, given that 150*r**5/13 - 452*r**4/13 + 6*r**3/13 + 600*r**2/13 - 8*r/13 = 0.
-1, 0, 1/75, 2
Let 2*t**3/9 - 1876*t**2/9 - 147038*t/9 - 2770856/9 = 0. Calculate t.
-37, 1012
Determine v, given that -2*v**5/7 + 1186*v**4/7 - 14052*v**3/7 + 62964*v**2/7 - 125658*v/7 + 13446 = 0.
3, 581
Find w, given that w**3/9 + 20*w**2/9 - 151*w/9 + 130/9 = 0.
-26, 1, 5
Factor 2*o**3/19 - 8344*o**2/19 + 8342*o/19.
2*o*(o - 4171)*(o - 1)/19
Suppose -z**5/4 + 1037*z**4/4 - 2061*z**3/4 - 9317*z**2/4 + 1031*z/2 + 2070 = 0. What is z?
-2, -1, 1, 4, 1035
Determine x so that -2*x**4/3 + 316*x**3/3 - 4130*x**2/3 + 4704*x = 0.
0, 7, 144
Factor -2*z**3 + 7104*z**2 - 5907240*z - 723362400.
-2*(z - 1830)**2*(z + 108)
Determine h so that -6*h**5/5 - 3766*h**4/5 - 834124*h**3/5 - 14728428*h**2 - 377679510*h + 127535850 = 0.
-195, -43, 1/3
Suppose -5*y**2/2 - 85*y/2 + 62625 = 0. Calculate y.
-167, 150
Solve -3*k**3/5 - 50073*k**2/5 + 350658*k/5 = 0 for k.
-16698, 0, 7
Let -2*f**2/5 - 121846*f/5 + 121848/5 = 0. Calculate f.
-60924, 1
Factor o**2/2 - 22031*o/2 + 33042.
(o - 22028)*(o - 3)/2
Factor 36*n**2 + 223784*n + 49728.
4*(n + 6216)*(9*n + 2)
Determine k, given that 3*k**2/5 - 102072*k/5 + 868224432/5 = 0.
17012
Factor 2*o**2/11 - 13924*o/11 + 24234722/11.
2*(o - 3481)**2/11
Let s**3 - 154*s**2 - 4680*s = 0. What is s?
-26, 0, 180
Suppose -2*v**3/3 - 62208*v**2 - 1451126014*v + 8707502596/3 = 0. What is v?
-46657, 2
Solve 84*j**2 + 202928*j - 38656 = 0 for j.
-2416, 4/21
Suppose -2*c**4 - 578*c**3 - 558*c**2 + 5202*c + 5184 = 0. What is c?
-288, -3, -1, 3
Determine s so that -2*s**4 + 284*s**3 + 3040*s**2 = 0.
-10, 0, 152
Find w such that 2*w**5/7 + 68*w**4/7 + 276*w**3/7 - 416*w**2/7 - 278*w/7 + 348/7 = 0.
-29, -6, -1, 1
Let 4*k**3 - 5604*k**2 + 217916*k - 212316 = 0. What is k?
1, 39, 1361
Solve -1655*s**2 + 1540*s + 115 = 0 for s.
-23/331, 1
Suppose 4*n**4 + 8120*n**3 + 4022308*n**2 - 100070880*n + 607523904 = 0. Calculate n.
-1027, 12
Determine m so that 2*m**5/23 + 12782*m**4/23 + 20416020*m**3/23 - 20607760*m**2/23 - 285696832*m/23 + 490291968/23 = 0.
-3196, -4, 2, 3
Find f, given that 5*f**5 - 1240*f**4 - 2635*f**3 + 33750*f**2 + 540*f - 135000 = 0.
-6, -2, 3, 250
Suppose p**3/3 - 56*p**2/3 + 155*p/3 + 212/3 = 0. What is p?
-1, 4, 53
Find w, given that -2*w**3/11 + 720*w**2/11 - 16798*w/11 + 16080/11 = 0.
1, 24, 335
Factor -a**3 - 960*a**2 - 19697*a + 20658.
-(a - 1)*(a + 22)*(a + 939)
Find g such that -2*g**4/7 + 48*g**3/7 + 234*g**2/7 - 40*g = 0.
-5, 0, 1, 28
Find i, given that -i**2/4 + 1396*i - 2791 = 0.
2, 5582
Factor 3*n**2/4 - 232683*n/2 + 18047126163/4.
3*(n - 77561)**2/4
Let -o**2 - 752*o + 3024 = 0. What is o?
-756, 4
Let -4*j**3 - 260*j**2 - 4012*j - 9804 = 0. What is j?
-43, -19, -3
What is g in -218*g**3/5 + 248*g**2/5 + 218*g/5 - 248/5 = 0?
-1, 1, 124/109
Factor 4*q**2 + 3116*q + 601800.
4*(q + 354)*(q + 425)
Factor p**2 - 15000*p + 56250000.
(p - 7500)**2
Factor 5*g**3 - 6440*g**2 + 2627625*g - 327993750.
5*(g - 525)**2*(g - 238)
Factor u**4 - 1413*u**3 - 95943*u**2 - 187643*u - 93114.
(u - 1478)*(u + 1)**2*(u + 63)
Factor 2*o**3/13 + 424*o**2/13 - 3496*o/13 + 5280/13.
2*(o - 6)*(o - 2)*(o + 220)/13
Factor -2*d**2/11 + 1999540*d/11 - 499770026450/11.
-2*(d - 499885)**2/11
Factor z**2 - 187*z + 8190.
(z - 117)*(z - 70)
Factor -o**3/5 + 88*o**2/5 + o/5 - 88/5.
-(o - 88)*(o - 1)*(o + 1)/5
Find q, given that -2*q**4 + 24*q**3 + 358*q**2 - 780*q + 400 = 0.
-10, 1, 20
Factor -2*y**2 - 1122*y - 7756.
-2*(y + 7)*(y + 554)
Factor -4*g**2/3 + 54112*g/3 - 183006784/3.
-4*(g - 6764)**2/3
Find f, given that -5*f**4/3 + 240*f**3 - 4165*f**2/3 + 1150*f = 0.
0, 1, 5, 138
Factor 2*u**5/15 + 36*u**4/5 - 53654*u**3/15.
2*u**3*(u - 139)*(u + 193)/15
Factor -2*x**2/7 + 2018*x/7 - 170376/7.
-2*(x - 916)*(x - 93)/7
Factor 25*y**4 - 120*y**3 + 125*y**2 + 30*y.
5*y*(y - 3)*(y - 2)*(5*y + 1)
Find i, given that 2*i**2/3 + 1579*i/6 + 917/2 = 0.
-393, -7/4
Let -h**2/2 - 102523*h - 10510965529/2 = 0. What is h?
-102523
Factor 2*t**4/11 + 21060*t**3/11 + 73983672*t**2/11 + 86929678332*t/11 + 776389767174/11.
2*(t + 9)*(t + 3507)**3/11
What is f in 2*f**5 + 306*f**4 - 6538*f**3 - 306*f**2 + 6536*f = 0?
-172, -1, 0, 1, 19
Factor -2*m**4 + 52*m**3 + 990*m**2 + 936*m.
-2*m*(m - 39)*(m + 1)*(m + 12)
What is c in -5547*c**5 + 176988*c**4 - 732345*c**3 - 69276*c**2 - 1620*c = 0?
-2/43, 0, 5, 27
Factor 49*q**5 + 1138788*q**4 + 6612289828*q**3 - 49167009216*q**2 + 91339346176*q.
q*(q + 11624)**2*(7*q - 26)**2
Let 5*d**5 + 8175*d**4 + 65185*d**3 + 170945*d**2 + 179010*d + 65080 = 0. Calculate d.
-1627, -4, -2, -1
Factor -1029*j**2/2 + 18552*j - 1080.
-3*(j - 36)*(343*j - 20)/2
Solve -g**3/5 + 15373*g**2/5 + 46128*g/5 = 0 for g.
-3, 0, 15376
Factor k**3 + 682*k**2 + 103820*k - 4357576.
(k - 34)*(k + 358)**2
Factor -5*c**2 - 29150*c - 42486125.
-5*(c + 2915)**2
Let -q**2 + 10591*q + 10592 = 0. What is q?
-1, 10592
Let 3*h**3 + 120*h**2 + 1077*h - 1200 = 0. What is h?
-25, -16, 1
Let -l**2/2 + 157*l/2 + 2914 = 0. Calculate l.
-31, 188
Determine g so that 5*g**2/2 + 136975*g/2 = 0.
-27395, 0
Let -p**2/8 - 8375*p/8 - 4187/4 = 0. Calculate p.
-8374, -1
Factor r**5/2 + 1946*r**4 + 3790805*r**3/2 + 3783025*r**2.
r**2*(r + 2)*(r + 1945)**2/2
Solve 210*v**4 + 206*v**3 - 76*v**2 - 56*v + 16 = 0.
-1, -2/3, 2/7, 2/5
Factor 2*w**2/7 - 1598*w/7 + 127620/7.
2*(w - 709)*(w - 90)/7
Solve 230*i**3 + 10105*i**2 - 11010*i + 675 = 0.
-45, 3/46, 1
What is q in 2*q**2/15 - 145150*q/3 = 0?
0, 362875
Factor 3*v**4 + 9*v**3 - 234*v**2 - 240*v.
3*v*(v - 8)*(v + 1)*(v + 10)
Factor 2*o**2 + 100*o - 432.
2*(o - 4)*(o + 54)
Factor 2*k**5/9 + 290*k**4/9 + 1184*k**3 + 1152*k**2.
2*k**2*(k + 1)*(k + 72)**2/9
Find k such that -50*k**4 - 523110*k**3 - 104588*k**2 + 334776*k - 83696 = 0.
-10462, -1, 2/5
Factor 3*y**2 + 37293*y + 111852.
3*(y + 3)*(y + 12428)
Suppose 30*u**3/7 - 33648*u**2/7 + 1351680*u - 2150400 = 0. What is u?
8/5, 560
What is u in -2*u**5 + 1328*u**4 - 5290*u**3 + 6604*u**2 - 2640*u = 0?
0, 1, 2, 660
Factor -2*u**2 - 17326*u + 17328.
-2*(u - 1)*(u + 8664)
Solve -23*l**5/4 - 1859*l**4/4 + 6051*l**3/4 - 6769*l**2/4 + 734*l - 84 = 0.
-84, 4/23, 1
Solve 3*n**5/4 + 1597*n**4/2 + 2123*n**3/4 - 1330*n**2 = 0.
-1064, -5/3, 0, 1
What is o in 2*o**2/7 + 32406*o/7 = 0?
-16203, 0
Solve -3*s**5 + 2262*s**4 + 149331*s**3 - 151590*s**2 = 0.
-62, 0, 1, 815
Factor -j**2/6 + 4231*j/6 + 1411.
-(j - 4233)*(j + 2)/6
Factor -1080*h**2 + 1611*h - 417.
-3*(3*h - 1)*(120*h - 139)
Find s such that s**5 - 431*s**4/2 - 3351*s**3/2 + 1253*s**2/2 + 18997*s/2 - 4683 = 0.
-7, -3, 1/2, 2, 223
Solve 2*z**3/9 + 28*z**2/9 + 80*z/9 = 0 for z.
-10, -4, 0
Find q such that -9*q**3 - 4156*q**2 - 479325*q + 106722 = 0.
-231, 2/9
Find g, given that -g**5 + 10325*g**4 + 476585*g**3 + 4989555*g**2 - 11450160*g + 5973696 = 0.
-24, 1, 10371
What is m in m**2/8 - 1579*m/4 - 29070 = 0?
-72, 3230
Factor -n**4/2 + 3465*n**3 - 8000682*n**2 + 6147169871*n + 37027218693/2.
-(n - 2311)**3*(n + 3)/2
Determine j, given that 49*j**2/3 - 299*j/3 + 250/3 = 0.
1, 250/49
Suppose 4*v**3/5 + 104*v**2/5 + 100*v - 608/5 = 0. Calculate v.
-19, -8, 1
Determine p so that -5*p**4 + 1110*p**3 - 25725*p**2 + 48140*p - 23520 = 0.
1, 24, 196
Factor -1891*k**2/2 - 908*k + 75/2.
-(k + 1)*(1891*k - 75)/2
Factor -5*z**3 + 1640*z**2 - 8095*z + 6460.
-5*(z - 323)*(z - 4)*(z - 1)
Determine f so that 45*f**2 - 713240*f - 158500 = 0.
-2/9, 15850
Let i**5 - 905*i**4 - 33876*i**3 = 0. Calculate i.
-36, 0