tor -4*t**4 + 12396*t**3 + 12400*t**2.
-4*t**2*(t - 3100)*(t + 1)
Determine x so that 4*x**5 + 180*x**4 - 12124*x**3 - 37572*x**2 - 25272*x = 0.
-81, -2, -1, 0, 39
Find s such that -12*s**3 - 27*s**2 + 108282*s + 27072 = 0.
-96, -1/4, 94
Let -2*j**3/13 + 13122*j**2/13 + 157730*j/13 + 144606/13 = 0. What is j?
-11, -1, 6573
Solve u**5/2 - 181*u**4/2 + 355*u**3/2 + 541*u**2/2 - 356*u - 358 = 0.
-1, 2, 179
Factor 8*f**3/7 - 187400*f**2/7 - 187406*f/7 - 46852/7.
2*(f - 23426)*(2*f + 1)**2/7
Factor -3*k**4/2 - 13971*k**3/2 - 10846152*k**2 - 5618302080*k - 5607462912.
-3*(k + 1)*(k + 1552)**3/2
Suppose -5*m**2 + 320*m + 12285 = 0. Calculate m.
-27, 91
Suppose 15*o**5 + 71*o**4 - 230*o**3 - 484*o**2 + 1224*o - 288 = 0. What is o?
-6, -3, 4/15, 2
Factor 4*g**2 - 12544*g - 37668.
4*(g - 3139)*(g + 3)
Factor -2*a**2 - 1432020*a - 256335160050.
-2*(a + 358005)**2
Suppose 238*c**4/3 - 186*c**3 - 182*c**2 + 238*c/3 - 4 = 0. Calculate c.
-1, 1/17, 2/7, 3
Factor 5*y**3 + 135*y**2 + 360*y.
5*y*(y + 3)*(y + 24)
Find j, given that 3*j**2 - 228*j - 1476 = 0.
-6, 82
Solve -354*j**3 + 25503*j**2 + 24762*j - 1095 = 0.
-1, 5/118, 73
Suppose -l**5 - 135*l**4 - 5533*l**3 - 97005*l**2 - 771166*l - 2294160 = 0. Calculate l.
-79, -24, -11, -10
Find i such that 4*i**4 - 1748*i**3 - 15996*i**2 - 26860*i + 44600 = 0.
-5, 1, 446
Let 3*j**5 + 42*j**4 - 45*j**3 - 2688*j**2 - 9408*j = 0. What is j?
-8, -7, 0, 8
What is o in 2*o**4/3 + 1564*o**3/3 + 105472*o**2 + 1376256*o = 0?
-384, -14, 0
Solve 15*v**2/4 - 629815*v/2 + 419875/4 = 0.
1/3, 83975
Find s such that -9*s**5/7 + 417*s**4/7 - 129*s**3/7 - 417*s**2/7 + 138*s/7 = 0.
-1, 0, 1/3, 1, 46
Let 10*h**4/13 - 1726*h**3/13 + 1032*h**2/13 = 0. What is h?
0, 3/5, 172
Determine c, given that 4*c**4/5 - 141244*c**3/5 + 1247078568*c**2/5 - 3740247056*c/5 + 2493309728/5 = 0.
1, 2, 17654
Find n such that -n**3/4 - 29*n**2 - 1481*n/4 + 1717/2 = 0.
-101, -17, 2
What is w in 21*w**2 + 21153*w/5 = 0?
-7051/35, 0
Solve -2*k**2 + 784*k - 57624 = 0 for k.
98, 294
What is l in -3*l**2 - 118446*l - 1169121243 = 0?
-19741
Let 2*s**5 - 2334*s**4 + 672724*s**3 + 4798148*s**2 + 7568778*s + 3445690 = 0. What is s?
-5, -1, 587
Suppose 6*i**5 - 11872*i**4 - 123160*i**3 - 314132*i**2 - 258542*i - 55692 = 0. Calculate i.
-7, -2, -1, -1/3, 1989
Factor -5*b**5 - 950*b**4 - 61400*b**3 - 1426000*b**2 - 4997200*b - 4766560.
-5*(b + 2)**2*(b + 62)**3
Factor -y**2/4 - 3658*y.
-y*(y + 14632)/4
Solve -5*j**2 + 2305*j - 26940 = 0.
12, 449
Determine u so that 2*u**5/7 - 1976*u**4/7 + 17658*u**3/7 - 35236*u**2/7 - 7880*u/7 + 46992/7 = 0.
-1, 2, 6, 979
Solve -x**3/3 + 28868*x**2/3 - 19244*x = 0.
0, 2, 28866
Suppose 2*a**5/13 - 112*a**4/13 + 480*a**3/13 + 7100*a**2/13 - 57250*a/13 + 112500/13 = 0. Calculate a.
-9, 5, 50
Let 7*g**4/3 - 365*g**3/2 - 26935*g**2/6 - 3440*g - 1862/3 = 0. Calculate g.
-19, -1/2, -2/7, 98
Factor h**2 + 187*h + 4320.
(h + 27)*(h + 160)
Find y, given that 2*y**4 + 20*y**3 - 666*y**2 - 2876*y + 3520 = 0.
-22, -5, 1, 16
Solve -r**4 + 395*r**3 - 6408*r**2 - 6804*r = 0 for r.
-1, 0, 18, 378
Suppose 2*x**2/15 + 26*x/5 - 164/15 = 0. What is x?
-41, 2
Determine k so that -4*k**3/5 - 91396*k**2/5 - 548252*k/5 - 91372 = 0.
-22843, -5, -1
Factor -3*x**4 + 12*x**3 + 366*x**2 - 756*x - 11907.
-3*(x - 9)**2*(x + 7)**2
Determine c, given that 4*c**2 + 50176*c - 301200 = 0.
-12550, 6
Factor -2*j**3 - 368*j**2 + 2662*j - 2292.
-2*(j - 6)*(j - 1)*(j + 191)
Solve -3*w**2 - 34743*w = 0.
-11581, 0
Factor -28*u**4/5 + 136004*u**3/5 - 44043276*u**2 + 118885378316*u/5 - 33949277272/5.
-4*(u - 1619)**3*(7*u - 2)/5
Factor 5*x**3 + 2620*x**2 + 324145*x - 5065270.
5*(x - 14)*(x + 269)**2
Solve s**3 - 56767*s**2 + 113531*s - 56765 = 0 for s.
1, 56765
Solve 4*c**2 + 210248*c + 2762763844 = 0 for c.
-26281
Factor -n**2 + 528*n + 65728.
-(n - 632)*(n + 104)
Factor -2*j**4 - 3988*j**3 - 1992002*j**2 - 3972048*j - 1984032.
-2*(j + 1)**2*(j + 996)**2
Factor -6*s**4 - 1128342*s**3/7 - 10104517530*s**2/7 - 30163909435650*s/7 - 8617435006500/7.
-6*(s + 8955)**3*(7*s + 2)/7
Find u, given that u**2/10 + 1702*u - 17021/10 = 0.
-17021, 1
Factor -298*n**2 + 143038*n/3 + 320/3.
-2*(n - 160)*(447*n + 1)/3
Factor -z**2 + 462203*z + 462204.
-(z - 462204)*(z + 1)
Find r such that -r**5 + 479*r**4 - 57598*r**3 + 56642*r**2 + 57599*r - 57121 = 0.
-1, 1, 239
Find y, given that 12*y**4 - 3676*y**3 + 29724*y**2 + 22684*y - 10728 = 0.
-1, 1/3, 9, 298
Find n such that -5*n**5 + 31025*n**4 - 48174050*n**3 + 144336050*n**2 - 144274025*n + 48081005 = 0.
1, 3101
Find p such that -2*p**2/11 + 38*p/11 + 4720/11 = 0.
-40, 59
Factor 2*k**3/5 + 62*k**2/5 + 542*k/5 + 1122/5.
2*(k + 3)*(k + 11)*(k + 17)/5
Solve 16*y**4 - 180604*y**3 + 511072416*y**2 - 8003931584*y - 2032927744 = 0 for y.
-1/4, 16, 5636
Solve 2*n**5 - 8340*n**4 + 8744346*n**3 - 104033160*n**2 + 311201352*n = 0 for n.
0, 6, 2079
Let -h**4/2 + 82*h**3/3 - 691*h**2/6 - 235*h/3 + 500/3 = 0. What is h?
-4/3, 1, 5, 50
Factor -5*d**3/2 - 15*d**2 + 460*d + 960.
-5*(d - 12)*(d + 2)*(d + 16)/2
Suppose 3*l**5/7 + 426*l**4/7 - 891*l**3/7 - 3882*l**2/7 + 888*l/7 + 3456/7 = 0. Calculate l.
-144, -2, -1, 1, 4
Let z**3 + 5856*z**2 + 8590725*z + 51333750 = 0. Calculate z.
-2925, -6
Factor 3*q**3/5 + 1197*q**2/5 + 28665*q + 5390931/5.
3*(q + 91)**2*(q + 217)/5
Factor -u**2/3 + 20410*u/3 - 104142025/3.
-(u - 10205)**2/3
Determine y so that 3*y**4/5 - 366*y**3/5 + 10404*y**2/5 + 46494*y/5 + 35721/5 = 0.
-3, -1, 63
Suppose 5*p**4 + 19945*p**3 - 300060*p**2 + 961280*p + 1281280 = 0. Calculate p.
-4004, -1, 8
Let -20*z**4/7 + 848*z**3/7 - 4756*z**2/7 + 5368*z/7 - 1440/7 = 0. What is z?
2/5, 1, 5, 36
Find p, given that 92*p**5 - 32300*p**4 + 2820032*p**3 + 2669584*p**2 - 5953024*p + 495616 = 0.
-2, 2/23, 1, 176
Factor -4*k**3 + 7280*k**2 + 296000*k + 2976000.
-4*(k - 1860)*(k + 20)**2
Factor -d**2 + 59*d + 28886.
-(d - 202)*(d + 143)
Factor -2*k**2/5 - 2137188*k/5 - 570946568418/5.
-2*(k + 534297)**2/5
Let -2*o**4/3 - 38*o**3 + 1940*o**2/3 - 1136*o = 0. Calculate o.
-71, 0, 2, 12
Find f such that 5*f**5 - 50*f**4 - 50*f**3 + 500*f**2 + 45*f - 450 = 0.
-3, -1, 1, 3, 10
Let -2*n**2/9 - 10012*n/3 - 12530018 = 0. What is n?
-7509
Suppose p**4/8 - 163*p**3/2 + 27731*p**2/4 + 4544541*p/2 + 18122049/8 = 0. Calculate p.
-121, -1, 387
Find m, given that 924*m**5 - 645160*m**4 + 4620100*m**3 - 4827080*m**2 + 784880*m + 66336 = 0.
-2/33, 2/7, 1, 6, 691
Factor 2*y**4 + 2242*y**3 + 17840*y**2 + 35616*y.
2*y*(y + 4)**2*(y + 1113)
Factor 2*t**4/13 + 4714*t**3/13 + 214214*t**2 + 8311974*t/13.
2*t*(t + 3)*(t + 1177)**2/13
Factor -c**2 - 73667*c + 294684.
-(c - 4)*(c + 73671)
Determine k, given that -2*k**3/7 + 1460*k**2/7 - 264984*k/7 - 535824/7 = 0.
-2, 366
Factor 4*t**2 + 690952*t - 690956.
4*(t - 1)*(t + 172739)
Determine l, given that l**3/6 + 2743*l**2/3 + 5485*l/6 = 0.
-5485, -1, 0
Factor f**3/6 + 58*f**2/3 + 1792*f/3 + 6272/3.
(f + 4)*(f + 56)**2/6
Find r, given that -4*r**3 + 344*r**2 - 3040*r = 0.
0, 10, 76
Factor 3*d**2 - 12849*d.
3*d*(d - 4283)
Factor 4*r**4 + 1848*r**3 + 3648*r**2 - 14720*r.
4*r*(r - 2)*(r + 4)*(r + 460)
Let -x**2/6 - 14083*x/3 + 140855/6 = 0. What is x?
-28171, 5
Determine y so that 4*y**2 + 338272*y + 338268 = 0.
-84567, -1
Factor -4*n**3 - 7248*n**2 - 43376*n - 57792.
-4*(n + 2)*(n + 4)*(n + 1806)
Let -4*b**3 - 92*b**2 + 6800*b - 13200 = 0. What is b?
-55, 2, 30
Determine q so that -6*q**2/7 + 425616*q/7 - 7547874144/7 = 0.
35468
Factor 3*f**2 + 471*f + 13320.
3*(f + 37)*(f + 120)
Factor -2*l**2/3 - 145778*l + 874676/3.
-2*(l - 2)*(l + 218669)/3
Solve l**2/4 - 19912*l + 79647/4 = 0 for l.
1, 79647
What is l in -3*l**3 - 23157*l**2 - 23148*l + 46308 = 0?
-7718, -2, 1
Find u such that -u**4 - 603*u**3 + 6102*u**2 - 17140*u + 14712 = 0.
-613, 2, 6
Let s**2 + 273900*s + 18755302500 = 0. Calculate s.
-136950
Let -196*i**5 - 174741*i**4 + 3843283*i**3 + 2092991*i**2 + 360657*i + 20086 = 0. Calculate i.
-913, -1/4, -1/7, 22
Factor 5*i**3 + 395*i**2 - 3050*i - 3440.
5*(i - 8)*(i + 1)*(i + 86)
Factor -2*k**3 + 1116*k**2 - 179010*k + 6242400.
-2*(k - 255)**2*(k - 48)
Determine r, given that -r**4/6 + 779*r**3/6 - 47977*r**2/2 + 285529*r/6 - 71188/3 = 0.
1, 296, 481
Factor a**3/5 - 132*a**2/5 + 2736*a/5 - 15552/5.
(a - 108)*(a - 12)**2/5
Let 4*n**3 - 120*n