2465 = 0. Calculate m.
-719, 1, 13
Factor -4*r**2 + 24224*r + 169764.
-4*(r - 6063)*(r + 7)
Factor 6*f**4 - 12201*f**3 + 6162840*f**2 + 40575600*f.
3*f*(f - 1020)**2*(2*f + 13)
Let 15*x**4/8 + 23091*x**3/8 + 8902719*x**2/8 + 12427809*x/8 + 1774083/4 = 0. What is x?
-769, -1, -2/5
Solve 2*j**5/3 - 21698*j**4 - 325508*j**3/3 - 390632*j**2/3 + 86800*j + 520832/3 = 0.
-2, 1, 32552
Suppose -4*p**4 + 13320*p**3 - 11088900*p**2 = 0. Calculate p.
0, 1665
Solve 3*l**4 + 221*l**3 - 550*l**2 - 1376*l - 608 = 0 for l.
-76, -1, -2/3, 4
What is j in j**2 - 1109*j - 2222 = 0?
-2, 1111
Solve t**5/6 + 124*t**4 - 1883*t**3/3 - 7876*t**2/3 - 5745*t/2 - 2996/3 = 0 for t.
-749, -1, 8
Find m such that 124*m**5 + 476*m**4 - 80*m**3 = 0.
-4, 0, 5/31
Suppose 216*r**4/11 + 191916*r**3/11 + 9324522*r**2/11 + 154902185*r/11 + 863392238/11 = 0. Calculate r.
-838, -101/6
Factor -4*c**2 - 3368*c - 3364.
-4*(c + 1)*(c + 841)
Solve -4*z**3/3 - 3308*z**2/3 + 13424*z = 0 for z.
-839, 0, 12
Let -x**2 - 7769*x - 7768 = 0. Calculate x.
-7768, -1
Let -3*b**5 + 4889*b**4 - 1986122*b**3 - 4696888*b**2 + 14635776*b + 5326848 = 0. Calculate b.
-4, -1/3, 2, 816
Factor -5*k**2 + 260365*k.
-5*k*(k - 52073)
Factor -4416*y**3 - 17660*y**2 - 17648*y + 16.
-4*(y + 2)**2*(1104*y - 1)
Factor -4*v**2 + 3042608*v - 578591465104.
-4*(v - 380326)**2
Factor 2*v**2/3 + 314*v/3 + 2788.
2*(v + 34)*(v + 123)/3
Suppose -2*r**2/7 + 2658*r/7 - 394060/7 = 0. Calculate r.
170, 1159
Factor l**2/3 + 382*l + 5705/3.
(l + 5)*(l + 1141)/3
What is y in 5*y**3 + 3935*y**2 + 62000*y + 246720 = 0?
-771, -8
Factor 3*f**4 - 492*f**3 + 7545*f**2 - 7056*f.
3*f*(f - 147)*(f - 16)*(f - 1)
Factor y**2 + 944*y + 4695.
(y + 5)*(y + 939)
Factor w**2/10 - 5763*w/5 + 33212169/10.
(w - 5763)**2/10
Factor w**2/7 + 256*w/7 + 612.
(w + 18)*(w + 238)/7
Find c such that -3300*c**3 - 56108*c**2 - 198136*c - 480 = 0.
-12, -5, -2/825
Determine z so that 20*z**4 - 1012*z**3 - 14568*z**2 + 26576*z + 12896 = 0.
-13, -2/5, 2, 62
Solve -7*w**3 + 790*w**2 + 911*w + 114 = 0 for w.
-1, -1/7, 114
Solve 3*m**4 - 1611*m**3 + 17466*m**2 - 56916*m + 56808 = 0.
2, 3, 6, 526
Let -g**4/8 - 593*g**3/8 + 3857*g**2/2 - 3411*g/2 - 3708 = 0. What is g?
-618, -1, 2, 24
Find n, given that -2*n**3/3 - 1088*n**2/3 - 8608*n/3 - 17152/3 = 0.
-536, -4
Determine n so that 2*n**2 + 12734*n = 0.
-6367, 0
Factor 12*w**3/7 - 874*w**2/7 - 4896*w/7 + 4680/7.
2*(w - 78)*(w + 6)*(6*w - 5)/7
Determine n so that 2*n**3/5 + 2374*n**2/5 - 26356*n/5 = 0.
-1198, 0, 11
Find t such that 3*t**3 + 7539*t**2 - 15099*t - 22635 = 0.
-2515, -1, 3
Factor -2*r**2/3 + 248*r/3 - 2370.
-2*(r - 79)*(r - 45)/3
Factor -10*f**2 - 307*f/6 - 35/6.
-(f + 5)*(60*f + 7)/6
Let 4*z**5/7 + 1546*z**4/7 + 169492*z**3/7 + 3837632*z**2/7 + 16615496*z/7 + 7369430/7 = 0. What is z?
-179, -23, -5, -1/2
Determine h so that -3*h**4 + 1311*h**3 - 26568*h**2 + 150060*h - 124800 = 0.
1, 10, 416
Factor 4*v**3 - 661636*v**2 - 661640*v.
4*v*(v - 165410)*(v + 1)
Factor -5*c**3 + 5705*c**2 - 1547600*c - 46042560.
-5*(c - 584)**2*(c + 27)
Solve -13*h**3/2 - 223*h**2/2 - 121*h - 16 = 0 for h.
-16, -1, -2/13
Factor -3*s**3 + 424*s**2 - 839*s + 418.
-(s - 1)**2*(3*s - 418)
Suppose -57*o**2/8 - 108597*o/8 + 54327/4 = 0. What is o?
-36218/19, 1
Factor 2*t**2/9 + 1502*t + 13516/9.
2*(t + 1)*(t + 6758)/9
Factor l**5/8 - 77*l**4/4 + 393*l**3/8 + 2357*l**2/2 - 7018*l + 10872.
(l - 151)*(l - 4)**3*(l + 9)/8
Factor 3*w**3 - 381*w**2 + 12993*w - 55815.
3*(w - 61)**2*(w - 5)
Solve -30*o**5/13 + 7366*o**4/13 - 46942*o**3/13 + 23434*o**2/13 - 2868*o/13 = 0.
0, 1/5, 1/3, 6, 239
Solve 5*b**3/3 - 17100*b**2 - 34205*b - 51310/3 = 0 for b.
-1, 10262
Let 32*r**4 + 802*r**3 + 1554*r**2 + 830*r + 46 = 0. Calculate r.
-23, -1, -1/16
Suppose -3*z**4/7 + 1971*z**3/7 - 314739*z**2/7 - 422577*z - 5988006/7 = 0. What is z?
-6, -3, 333
Solve q**4/6 + 266*q**3/3 + 263*q**2/3 - 442*q + 531/2 = 0 for q.
-531, -3, 1
Solve i**3/12 - 241*i**2/4 + 57681*i/4 - 13724321/12 = 0.
221, 281
Factor -l**2 - 1173*l - 45320.
-(l + 40)*(l + 1133)
Determine x so that 12*x**5 - 453*x**4 - 3762*x**3 - 6792*x**2 - 4170*x - 675 = 0.
-5, -1, -1/4, 45
Factor i**2/2 + 48203*i + 2323529209/2.
(i + 48203)**2/2
Solve 2*b**3/17 + 6602*b**2/17 + 26382*b/17 + 19782/17 = 0.
-3297, -3, -1
Factor 4*g**4/7 + 48768*g**3/7 + 147076096*g**2/7 - 9563209728*g/7 + 153814564864/7.
4*(g - 32)**2*(g + 6128)**2/7
Let -m**5 - 46*m**4 - 261*m**3 + 496*m**2 + 1060*m - 1248 = 0. Calculate m.
-39, -8, -2, 1, 2
Find m such that -55677845*m**3/7 + 89151292*m**2/7 - 106804*m/7 + 32/7 = 0.
2/3337, 8/5
Factor x**2/6 - 485234*x/3 + 117726017378/3.
(x - 485234)**2/6
Suppose -15*g**5/4 + 264*g**4 + 27480*g**3 + 991167*g**2/2 + 1106607*g/4 - 383439/2 = 0. What is g?
-31, -1, 2/5, 133
Find c, given that -5*c**2 - 1205*c + 15180 = 0.
-253, 12
Factor h**3/4 - 241*h**2/4 - 11041*h/2 - 5460.
(h - 312)*(h + 1)*(h + 70)/4
Find n, given that n**2/6 + 141116*n/3 + 94077/2 = 0.
-282231, -1
Let -2*y**2/3 + 407414*y/3 - 135804 = 0. Calculate y.
1, 203706
Factor m**3/5 + 295*m**2 + 13202*m/5 + 11728/5.
(m + 1)*(m + 8)*(m + 1466)/5
Factor 4*q**2/5 + 8*q/5 - 96.
4*(q - 10)*(q + 12)/5
Find w such that -2*w**2/7 + 137658*w/7 - 137656/7 = 0.
1, 68828
Factor -2*u**3 + 7784*u**2 - 147174*u.
-2*u*(u - 3873)*(u - 19)
Determine w, given that -w**3/10 - 31531*w**2/10 + 12613*w/2 - 31533/10 = 0.
-31533, 1
Factor -2*u**4/3 - 11076*u**3 + 99720*u**2 - 299196*u + 299214.
-2*(u - 3)**3*(u + 16623)/3
Determine k, given that -4*k**2/7 - 8244*k/7 + 225504/7 = 0.
-2088, 27
Let -2*w**2/5 - 1018*w/5 - 15084 = 0. Calculate w.
-419, -90
Suppose 2*u**4/11 + 1194*u**3/11 + 5928*u**2/11 + 4736*u/11 = 0. Calculate u.
-592, -4, -1, 0
Factor 5*q**2 + 87570*q - 1490135.
5*(q - 17)*(q + 17531)
Factor p**3/4 - 85*p**2 + 38325*p/4 - 716625/2.
(p - 130)*(p - 105)**2/4
Determine p, given that -5*p**2 - 49335*p - 147960 = 0.
-9864, -3
Factor 5*d**3 - 1210495*d**2 + 73264302000*d + 73265512500.
5*(d - 121050)**2*(d + 1)
Factor 3*w**2 + 4323*w - 8658.
3*(w - 2)*(w + 1443)
Factor -2*o**2 + 6072*o + 159224.
-2*(o - 3062)*(o + 26)
Suppose 440*j**2 + 16714*j - 228 = 0. What is j?
-38, 3/220
Factor 40*y**2 - 561*y/7 + 2/7.
(y - 2)*(280*y - 1)/7
Solve -3*m**2 - 7014*m - 14016 = 0 for m.
-2336, -2
Factor x**3/4 + 55*x**2/4 - 4625*x/4 + 65625/4.
(x - 25)**2*(x + 105)/4
Determine w, given that 6*w**3/11 + 24*w**2/11 - 37914*w/11 + 3444 = 0.
-82, 1, 77
Let -q**2/3 + 52*q/3 - 17 = 0. Calculate q.
1, 51
Suppose -4*s**4 - 64*s**3 + 13512*s**2 - 232000*s - 245572 = 0. What is s?
-73, -1, 29
Factor -q**3/5 + 5*q**2 + 84*q/5.
-q*(q - 28)*(q + 3)/5
Solve y**4/7 + 1835*y**3/7 - 25826*y**2/7 + 110868*y/7 - 133128/7 = 0 for y.
-1849, 2, 6
Solve 3*a**5 - 219*a**4 - 4746*a**3 + 419340*a**2 + 423864*a = 0.
-42, -1, 0, 58
Factor -d**3/6 - 2065*d**2/2 + 21707*d/3.
-d*(d - 7)*(d + 6202)/6
Factor -2*o**4 + 122304*o**3 - 1870150428*o**2 + 11217600576*o - 16824749922.
-2*(o - 30573)**2*(o - 3)**2
Suppose -10*n**5/9 - 3304*n**4/9 - 9080*n**3/3 - 61888*n**2/9 - 20608*n/9 = 0. What is n?
-322, -4, -2/5, 0
Determine a, given that -2*a**3 - 344*a**2 - 4134*a = 0.
-159, -13, 0
Factor -4*b**3 + 338956*b**2 - 677900*b + 338948.
-4*(b - 84737)*(b - 1)**2
Suppose -5*h**5 + 10930*h**4 - 54560*h**3 + 76350*h**2 - 32715*h = 0. What is h?
0, 1, 3, 2181
Let 2*m**4 + 148*m**3 + 2626*m**2 - 3688*m - 16728 = 0. Calculate m.
-41, -34, -2, 3
Suppose 2*g**2/13 - 136732*g/13 + 2336954978/13 = 0. Calculate g.
34183
Find i such that i**4/2 - 3115*i**3/2 + 6224*i**2 - 6222*i = 0.
0, 2, 3111
Factor -2*n**2/7 + 5912*n/7 - 13440.
-2*(n - 2940)*(n - 16)/7
Find s, given that 2*s**5/7 + 242*s**4/7 - 750*s**3/7 - 722*s**2/7 + 388*s - 1488/7 = 0.
-124, -2, 1, 3
Factor 3*b**2 - 2391*b + 18936.
3*(b - 789)*(b - 8)
Find p such that 6*p**4/13 - 314674*p**3/13 + 5501060940*p**2/13 - 32055293303064*p/13 - 10685709008336/13 = 0.
-1/3, 17482
Solve d**2/6 - 41*d/2 + 432 = 0.
27, 96
Let -5*b**4 + 5180*b**3 + 25985*b**2 + 41620*b + 20820 = 0. What is b?
-2, -1, 1041
Factor 5*z**2/4 - 2330*z + 4655.
5*(z - 1862)*(z - 2)/4
What is h in 2*h**2/15 - 216956*h/15 + 5883738242/15 = 0?
54239
Suppose -2*g**5 + 148*g**4 - 572*g**3 + 848*g**2 - 562*g + 140 = 0. Calculate g.
1, 70
Factor b**3/3 - 3593*b**2/3 - 174676*b/3 - 334972/3.
(b - 3