*u**2 - 1143*u + 84.
3*(7*u - 1)*(185*u - 28)
Factor w**2/7 + 2500*w/7 - 2501/7.
(w - 1)*(w + 2501)/7
Factor 3*z**3 - 10206*z**2 - 474237*z - 5471976.
3*(z - 3448)*(z + 23)**2
Suppose -4*v**3 + 33832*v**2 - 71537764*v = 0. Calculate v.
0, 4229
Solve 21*x**3/5 - 254592*x**2/5 - 1164333*x/5 + 109152 = 0 for x.
-5, 3/7, 12128
Suppose 21*r**5/2 + 9271*r**4/2 + 510395*r**3 - 270615*r**2 - 440011*r/2 - 48841/2 = 0. Calculate r.
-221, -1/3, -1/7, 1
Factor -a**4/3 + 43*a**3/3 - 404*a**2/3 + 992*a/3.
-a*(a - 31)*(a - 8)*(a - 4)/3
Factor -u**2 + 261600*u - 261599.
-(u - 261599)*(u - 1)
Suppose -x**3/3 - 163*x**2/3 + 13726*x/3 + 13888/3 = 0. What is x?
-224, -1, 62
Factor 3*p**3/2 + 1065*p**2 + 6363*p/2.
3*p*(p + 3)*(p + 707)/2
Find d, given that -137780*d**5 - 254395*d**4 + 114220*d**3 + 253835*d**2 + 23560*d + 560 = 0.
-7/4, -1, -4/83, 1
Suppose j**2/3 + 6338*j/3 + 4224 = 0. What is j?
-6336, -2
Solve -3*a**2/5 - 2094*a/5 - 1251 = 0 for a.
-695, -3
Let 2*f**4/7 - 2*f**3/7 - 150*f**2/7 + 650*f/7 - 500/7 = 0. What is f?
-10, 1, 5
Factor 202*c**4 - 578*c**3 + 522*c**2 - 118*c - 28.
2*(c - 1)**3*(101*c + 14)
Solve s**4/5 - 417*s**3/5 + 40127*s**2/5 + 8109*s = 0 for s.
-1, 0, 153, 265
Factor f**5/5 + 3*f**4/5 - 6*f**3/5 - 28*f**2/5 - 24*f/5.
f*(f - 3)*(f + 2)**3/5
Determine k, given that -8*k**5/3 + 2834*k**4/9 + 52*k**3/9 - 3736*k**2 - 42512*k/9 + 3776/9 = 0.
-2, 1/12, 4, 118
Factor -2*n**3/7 + 38*n**2 + 44*n - 5360/7.
-2*(n - 134)*(n - 4)*(n + 5)/7
Let -d**3/3 + 1145*d**2/3 + 16177*d/3 + 56791/3 = 0. Calculate d.
-7, 1159
Find z, given that 3*z**5/2 - 227*z**4/6 + 437*z**3/6 + 535*z**2/6 - 23*z = 0.
-1, 0, 2/9, 3, 23
Factor 2*y**2/3 + 58598*y/3 - 58600/3.
2*(y - 1)*(y + 29300)/3
Factor 2*h**2/3 - 1370*h + 8196.
2*(h - 2049)*(h - 6)/3
Solve o**3/4 - 134*o**2 - 3653*o = 0.
-26, 0, 562
Factor x**3 + 374*x**2 + 24181*x + 69204.
(x + 3)*(x + 79)*(x + 292)
Factor -5*x**3 - 1220*x**2 + 4945*x - 3720.
-5*(x - 3)*(x - 1)*(x + 248)
Factor -31*u**2/11 + 3*u - 2/11.
-(u - 1)*(31*u - 2)/11
Factor 4*o**3 - 296*o**2 - 5904*o + 12960.
4*(o - 90)*(o - 2)*(o + 18)
Determine b, given that 5*b**2 + 64160*b + 205825280 = 0.
-6416
Solve -3*v**4/4 - 6081*v**3 - 388503*v**2/4 - 352023*v/2 - 84966 = 0.
-8092, -14, -1
Factor 10*d**2/9 - 136*d/3 - 2290/9.
2*(d + 5)*(5*d - 229)/9
Suppose 2*r**3/7 - 10264*r**2/7 + 122902*r/7 - 112640/7 = 0. Calculate r.
1, 11, 5120
Factor -2*l**3 + 52512*l**2 - 105018*l + 52508.
-2*(l - 26254)*(l - 1)**2
What is t in -6*t**5/13 - 1232*t**4/13 - 82418*t**3/13 - 1683456*t**2/13 + 7464824*t/13 + 2672288/13 = 0?
-74, -61, -1/3, 4
Solve -4*h**4 - 3076*h**3 - 592872*h**2 - 571392*h + 3538944 = 0.
-384, -3, 2
Solve x**5 - 493*x**4 + 58461*x**3 + 578053*x**2 - 1386022*x = 0.
-11, 0, 2, 251
Solve -5*n**2 - 3025*n + 706500 = 0.
-785, 180
Determine g so that -5*g**3/2 + 333*g**2/2 - 14268*g/5 + 13448/5 = 0.
1, 164/5
Suppose 2*q**4 + 5868*q**3 + 4310042*q**2 + 8602488*q + 4298312 = 0. Calculate q.
-1466, -1
Factor 3*k**3/5 - 3663*k**2/5 + 504792*k/5 - 18523632/5.
3*(k - 1069)*(k - 76)**2/5
Factor 2*k**4/3 + 4*k**3/3 - 64*k**2/3 + 20*k + 42.
2*(k - 3)**2*(k + 1)*(k + 7)/3
Factor 2*d**2/7 + 15950*d/7 - 31908/7.
2*(d - 2)*(d + 7977)/7
Suppose -3*h**2 + 33309*h + 166620 = 0. What is h?
-5, 11108
Factor 2*i**3/7 - 66*i**2/7 - 540*i/7 - 800/7.
2*(i - 40)*(i + 2)*(i + 5)/7
Solve -13*s**2/3 + 111967*s/3 + 5742 = 0 for s.
-2/13, 8613
Factor n**2/6 - 6447*n/2 - 19343/3.
(n - 19343)*(n + 2)/6
Find j such that -2*j**4/5 - 418*j**3/5 + 463808*j**2/5 + 128214112*j/5 + 127749888/5 = 0.
-356, -1, 504
Solve -l**3/8 - 1453*l**2/8 - 725*l - 1449/2 = 0 for l.
-1449, -2
Let 5*g**4 + 1895*g**3 + 180485*g**2 + 174825*g - 357210 = 0. Calculate g.
-189, -2, 1
Suppose 3*n**5/2 + 17*n**4 - 3911*n**3 + 38278*n**2 - 44981*n/2 - 11895 = 0. What is n?
-61, -1/3, 1, 10, 39
Suppose -2*m**5 - 312*m**4 + 8*m**3 + 1248*m**2 = 0. What is m?
-156, -2, 0, 2
Factor -2*v**3/7 - 374*v**2/7 - 23046*v/7 - 66654.
-2*(v + 49)*(v + 69)**2/7
What is o in 6*o**3 - 244*o**2 - 594*o - 344 = 0?
-4/3, -1, 43
Let -p**3 + 246*p**2 + p - 246 = 0. What is p?
-1, 1, 246
Factor 1004*l**2 - 69336*l + 4140.
4*(l - 69)*(251*l - 15)
Find z, given that 5*z**5 + 110*z**4 + 720*z**3 + 1550*z**2 + 1355*z + 420 = 0.
-12, -7, -1
Factor -3*u**2 - 1452*u + 14820.
-3*(u - 10)*(u + 494)
Solve 2*q**2 + 34880*q + 69752 = 0 for q.
-17438, -2
Solve -2*i**5 + 14070*i**4 - 32708182*i**3 + 24444039290*i**2 + 1583464370400*i + 3068890693000 = 0.
-58, -2, 2365
Solve 3*m**4 - 2130*m**3 + 431211*m**2 - 18863280*m + 235286208 = 0.
27, 328
Factor -380*s**3 - 1744*s**2 - 2348*s - 984.
-4*(s + 1)**2*(95*s + 246)
Solve 2*g**4/3 - 58*g**3/3 - 212*g**2/3 + 640*g/3 = 0 for g.
-5, 0, 2, 32
Factor -5*h**4 - 120*h**3 - 720*h**2 - 1280*h.
-5*h*(h + 4)**2*(h + 16)
Factor t**3/2 - 6817*t**2/2 - 13640*t - 13642.
(t - 6821)*(t + 2)**2/2
Factor -3*g**3/4 - 57*g**2/4 + 420*g.
-3*g*(g - 16)*(g + 35)/4
Solve 4*w**5 + 120*w**4 - 1156*w**3 + 2296*w**2 + 528*w - 3040 = 0 for w.
-38, -1, 2, 5
Determine a so that 24*a**5 + 1227*a**4/5 - 396*a**3 - 10947*a**2/5 - 4296*a/5 + 3564/5 = 0.
-11, -2, -1, 2/5, 27/8
Factor -638*d**3 + 1918*d**2 + 34440*d - 216.
-2*(d - 9)*(d + 6)*(319*d - 2)
Solve -2*n**4/5 - 227362*n**3/5 + 682104*n**2/5 - 8*n/5 - 909472/5 = 0 for n.
-113684, -1, 2
Solve j**5/11 - 4124*j**4/11 + 4235305*j**3/11 + 34126138*j**2/11 + 21548380*j/11 - 213417800/11 = 0 for j.
-5, 2, 2066
Find r such that 5*r**5 + 1755*r**4 + 204275*r**3 + 8455365*r**2 + 58280600*r + 110466000 = 0.
-153, -95, -4
Suppose 6*o**5 - 195*o**4 + 1584*o**3 - 4584*o**2 + 5088*o - 1584 = 0. What is o?
1/2, 2, 6, 22
What is w in -12*w**5 - 13828*w**4 - 3930132*w**3 + 30888452*w**2 - 17525280*w - 9419200 = 0?
-580, -1/3, 1, 7
Factor 10*s**3 + 1622*s**2 - 39792*s/5 + 48096/5.
2*(s + 167)*(5*s - 12)**2/5
Determine m so that -3*m**3/2 - 113*m**2 + 3623*m/2 - 1157 = 0.
-89, 2/3, 13
Let r**2/3 - 136*r/3 + 133 = 0. What is r?
3, 133
Factor p**2 + 184579*p/3 - 41018.
(p + 61527)*(3*p - 2)/3
Factor 2*p**3/13 + 426*p**2/13 + 17980*p/13.
2*p*(p + 58)*(p + 155)/13
Factor d**2 - 11508*d + 183872.
(d - 11492)*(d - 16)
Factor 29282*c**4 + 58080*c**3 + 28316*c**2 - 480*c + 2.
2*(c + 1)**2*(121*c - 1)**2
Solve -2*m**4/5 + 18*m**3/5 - 8*m**2 = 0 for m.
0, 4, 5
Let -4*a**2 - 94204*a = 0. Calculate a.
-23551, 0
Factor -5*g**3 + 3350*g**2 - 561125*g.
-5*g*(g - 335)**2
Solve 2*n**4 - 4552*n**3/11 - 14230*n**2/11 - 10496*n/11 - 840/11 = 0 for n.
-2, -1, -1/11, 210
Factor 2*f**4/9 - 224*f**3/9 - 9932*f**2/3 + 2019808*f/9 + 162612578/9.
2*(f - 127)**2*(f + 71)**2/9
Factor 5*u**3 - 5025*u**2 + 213840*u + 610960320.
5*(u - 648)**2*(u + 291)
Factor -k**4/3 - 175*k**3 + 176*k**2 + 1052*k/3.
-k*(k - 2)*(k + 1)*(k + 526)/3
Let 5*m**5/6 - 250*m**4/3 - 3685*m**3/6 - 1070*m**2 = 0. Calculate m.
-4, -3, 0, 107
Find h, given that -52*h**3 + 13880*h**2 - 93600*h = 0.
0, 90/13, 260
Suppose -2*d**5 - 290*d**4 - 6808*d**3 - 52408*d**2 - 113856*d - 67968 = 0. What is d?
-118, -12, -2, -1
Factor u**3/5 - 126*u**2/5 + 4011*u/5 - 7526/5.
(u - 71)*(u - 53)*(u - 2)/5
Determine n, given that 3*n**3 + 83676*n**2 + 583556415*n + 1166778150 = 0.
-13945, -2
Factor -7*w**3 + 4118*w**2 - 9380*w + 2344.
-(w - 586)*(w - 2)*(7*w - 2)
Factor -2*f**3/5 - 56*f**2/5 - 406*f/5 - 352/5.
-2*(f + 1)*(f + 11)*(f + 16)/5
Find z, given that 3*z**4 + 141*z**3 + 429*z**2 - 3669*z + 3096 = 0.
-43, -8, 1, 3
Find q, given that 2*q**5/5 + 16*q**4 + 52*q**3/5 - 1064*q**2/5 - 1974*q/5 - 936/5 = 0.
-39, -3, -1, 4
Determine d, given that -3*d**5 + 921*d**4 - 9807*d**3 + 11391*d**2 + 45450*d - 47952 = 0.
-2, 1, 3, 9, 296
Let 2*p**2/7 - 74408*p/7 + 692068808/7 = 0. Calculate p.
18602
Determine t so that -3*t**2/4 - 12483*t/2 - 74871/4 = 0.
-8319, -3
Solve -2*y**4/9 + 8*y**3/9 + 440*y**2/9 + 1408*y/9 - 512 = 0 for y.
-8, 2, 18
Let -p**3/6 + 6103*p**2/6 + 21379*p/3 + 12220 = 0. What is p?
-4, -3, 6110
Suppose 10*k**4/7 + 8*k**3 - 450*k**2/7 - 2808*k/7 - 216 = 0. What is k?
-6, -3/5, 7
Suppose -5*g**2 - 7400*g - 44220 = 0. Calculate g.
-1474, -6
Factor 4*i**4/7 + 2976*i**3 - 125100*i**2/7 + 187704*i/7.
4*i*(i - 3)**2*(i + 5214)/7
Factor y**2/2 - 1985*y/2 + 4950.
(y - 1980)*(y - 5)/2
Factor d**3/5 + 429*d**2/5 + 18864*d/5 - 1304236.
(d - 95)*(d + 262)**2/5
What is a in