3 + 4554*y**2 - 11415*y + 100 = 0. Calculate y.
4/455, 5
Determine s so that -3*s**3 + 1020615*s**2 - 86804071209*s - 86805091827 = 0.
-1, 170103
Factor -x**2/2 - 18839*x - 354907921/2.
-(x + 18839)**2/2
Factor 3*q**2/5 + 4374*q/5 - 129369/5.
3*(q - 29)*(q + 1487)/5
Let 311*s**4/2 + 623*s**3 + 4*s**2 = 0. Calculate s.
-4, -2/311, 0
Determine o so that -2*o**3 - 1976*o**2 - 5854*o + 55160 = 0.
-985, -7, 4
What is d in -4*d**5 + 676*d**4 - 22164*d**3 + 62476*d**2 - 61144*d + 20160 = 0?
1, 40, 126
Factor -a**3 + 321*a**2 + 2632*a.
-a*(a - 329)*(a + 8)
Find o, given that 5*o**3 + 43975*o**2 + 96755960*o + 289872240 = 0.
-4396, -3
Factor 5*j**5 + 2300*j**4 - 2305*j**3.
5*j**3*(j - 1)*(j + 461)
Determine u, given that -242*u**5/9 - 257620*u**4/9 - 68632274*u**3/9 - 12459440*u**2/3 - 566048*u = 0.
-532, -3/11, 0
Solve 3*r**4 - 39*r**3 - 567*r**2 + 6339*r + 6864 = 0 for r.
-13, -1, 11, 16
Suppose 3*l**3/4 + 3365*l**2/8 + 123163*l/2 + 1445213/2 = 0. Calculate l.
-274, -77/6
What is p in -2*p**2 - 1980*p + 3968 = 0?
-992, 2
Factor 3*u**2/7 - 3762*u/7 - 64821/7.
3*(u - 1271)*(u + 17)/7
Solve t**4/7 - 2073*t**3/7 + 154800*t**2 - 9585216*t/7 = 0.
0, 9, 1032
Factor 55*n**3 + 60730*n**2 - 121625*n + 60840.
5*(n - 1)**2*(11*n + 12168)
Suppose 2*m**3 + 30350*m**2 + 30348*m = 0. Calculate m.
-15174, -1, 0
Suppose 6*o**2/5 - 120156*o/5 + 601561014/5 = 0. Calculate o.
10013
Determine w so that -2*w**5 + 4*w**4 + 104*w**3 - 400*w**2 + 384*w = 0.
-8, 0, 2, 6
Factor 2*w**3/9 - 10244*w**2/9 + 4409800*w/3 - 31790000.
2*(w - 2550)**2*(w - 22)/9
Factor i**4/2 - 2852*i**3 - 17124*i**2 - 34256*i - 22840.
(i - 5710)*(i + 2)**3/2
Determine x so that -44*x**3 + 332*x**2 - 408*x = 0.
0, 17/11, 6
Factor 4*v**3 - 278360*v**2.
4*v**2*(v - 69590)
Let -350*m**4 + 24785*m**3 + 29825*m**2 + 3970*m - 720 = 0. Calculate m.
-1, -2/7, 1/10, 72
What is i in -3*i**4/4 + 681*i**3 - 288069*i**2/2 - 4790835*i - 148473675/4 = 0?
-15, 469
Find d, given that 5*d**2 - 4760*d + 4755 = 0.
1, 951
Determine b, given that -b**5/6 - 6*b**4 + 589*b**3/6 - 386*b**2 + 294*b = 0.
-49, 0, 1, 6
Suppose 60*p**5/11 - 1966*p**4/11 + 1478*p**3/11 - 192*p**2/11 = 0. What is p?
0, 1/6, 3/5, 32
Solve 2*c**2/7 - 95264*c/7 + 1134403712/7 = 0.
23816
Factor 8*m**3/5 + 1538238*m**2/5 + 14788562448*m - 3697159840.
2*(m + 96140)**2*(4*m - 1)/5
Solve 32*l**5 - 18028*l**4 - 65660*l**3 - 63500*l**2 - 2292*l + 13608 = 0 for l.
-2, -1, 3/8, 567
Factor -85877289*r**3 + 257594799*r**2 + 111200*r + 12.
-(r - 3)*(9267*r + 2)**2
Factor 2*y**2 - 12777*y - 6389.
(y - 6389)*(2*y + 1)
Factor -2*n**2 - 16836*n.
-2*n*(n + 8418)
Factor 2*k**2/7 + 2224*k/7 + 122264/7.
2*(k + 58)*(k + 1054)/7
Factor -3*b**2 - 72072*b - 72069.
-3*(b + 1)*(b + 24023)
Find i such that 2*i**5/3 + 178*i**4 + 47158*i**3/3 + 447902*i**2 - 1009440*i - 1441800 = 0.
-90, -89, -1, 3
What is r in -4*r**4 - 1801180*r**3 - 3602348*r**2 - 1801172*r = 0?
-450293, -1, 0
Factor 3*n**3 - 19146*n**2 + 95667*n - 76524.
3*(n - 6377)*(n - 4)*(n - 1)
Suppose 2*l**3/7 - 900*l**2/7 - 18*l/7 + 8100/7 = 0. Calculate l.
-3, 3, 450
What is y in 2*y**3 - 40382*y**2 + 322960*y - 645856 = 0?
4, 20183
Solve 2*l**5 - 15494*l**4 - 404098*l**3 - 761706*l**2 - 373104*l = 0.
-24, -1, 0, 7773
Factor 2*d**3 - 2928*d**2 + 298728*d - 7908192.
2*(d - 1356)*(d - 54)**2
Solve 5*x**4/6 + 1925*x**3/2 - 11605*x**2/2 + 17465*x/6 + 9675 = 0 for x.
-1161, -1, 2, 5
What is y in y**4 - 20*y**3 - 94*y**2 + 596*y - 483 = 0?
-7, 1, 3, 23
Solve 2*z**2/3 - 3034*z/3 + 12104/3 = 0.
4, 1513
Factor -v**2/4 + 37995*v/2 - 1443620025/4.
-(v - 37995)**2/4
Factor 4*s**2 - 57404*s - 804440.
4*(s - 14365)*(s + 14)
Suppose -2*x**2/7 + 97992*x/7 - 1200304008/7 = 0. What is x?
24498
Find c, given that -2*c**2/5 + 29002*c/5 + 29004/5 = 0.
-1, 14502
Factor 5*y**2 - 500*y + 7380.
5*(y - 82)*(y - 18)
Find h, given that -4*h**3 + 35552*h**2 - 78532340*h - 2065944296 = 0.
-26, 4457
Suppose -m**5/4 - 13*m**4/4 + 129*m**3/4 - 227*m**2/4 - 32*m + 60 = 0. What is m?
-20, -1, 1, 3, 4
Factor 2*l**3 + 4*l**2 - 26*l + 20.
2*(l - 2)*(l - 1)*(l + 5)
Suppose h**3 + 29*h**2 - 2804*h - 36096 = 0. What is h?
-64, -12, 47
Determine q so that 4*q**3 + 2928*q**2 + 535824*q = 0.
-366, 0
Factor 23*a**5/3 + 472*a**4/3 - 77*a**3.
a**3*(a + 21)*(23*a - 11)/3
Solve 28*b**2 + 718108*b - 205176 = 0.
-25647, 2/7
Let -62*s**3/7 - 86*s**2/7 + 300*s/7 = 0. Calculate s.
-3, 0, 50/31
Determine q so that -q**5/6 - 341*q**4/6 - 6739*q**3/6 - 6059*q**2/6 + 3370*q/3 + 3200/3 = 0.
-320, -20, -1, 1
Solve 221*v**4/3 - 10190*v**3/3 + 368*v**2 = 0 for v.
0, 24/221, 46
Let 2*m**2 - 44164*m/3 - 14722/3 = 0. Calculate m.
-1/3, 7361
Let 6*f**4/11 - 11796*f**3/11 - 12954*f**2 + 154284*f/11 = 0. What is f?
-13, 0, 1, 1978
What is n in n**4 - 3878*n**3 - 19411*n**2 - 15532*n = 0?
-4, -1, 0, 3883
Find j, given that 2*j**4/3 + 2446*j**3/3 + 12196*j**2/3 + 19496*j/3 + 3248 = 0.
-1218, -2, -1
Factor 2*f**4/19 + 702*f**3/19 + 1290*f**2 + 11894*f.
2*f*(f + 19)**2*(f + 313)/19
Suppose -2*r**4 - 3124*r**3 + 182400*r**2 - 3493036*r + 22209442 = 0. Calculate r.
-1619, 19
Factor o**3/4 + 14829*o**2/4 + 59303*o/4 + 44475/4.
(o + 1)*(o + 3)*(o + 14825)/4
Find v such that v**2/3 - 571*v/3 - 2300/3 = 0.
-4, 575
Find n, given that -2*n**3/3 + 1461496*n**2/3 = 0.
0, 730748
Determine u so that -2*u**3/7 + 128*u**2 - 2856*u - 152640/7 = 0.
-6, 30, 424
Factor 2*s**3/3 + 59872*s**2/3 + 119738*s/3 + 19956.
2*(s + 1)**2*(s + 29934)/3
Suppose 75*p**4 + 11245*p**3 - 30345*p**2 + 26655*p - 7630 = 0. What is p?
-763/5, 2/3, 1
Factor 2*r**3/7 + 314*r**2/7 + 928*r/7 + 88.
2*(r + 1)*(r + 2)*(r + 154)/7
Factor -4*a**2 + 3764*a + 3768.
-4*(a - 942)*(a + 1)
Find f, given that -2*f**2 - 15046*f/3 + 20072/3 = 0.
-2509, 4/3
Let 106*r**2 - 7422*r/7 + 20/7 = 0. Calculate r.
1/371, 10
Factor 2*t**5/9 + 17572*t**4/9 - 70352*t**3/3 + 844480*t**2/9 - 1126144*t/9.
2*t*(t - 4)**3*(t + 8798)/9
Factor -3*i**3 + 48*i**2 - 27*i - 270.
-3*(i - 15)*(i - 3)*(i + 2)
What is i in 5412*i**2 - 1810*i + 2 = 0?
1/902, 1/3
Factor 3*l**2 + 45738*l + 91464.
3*(l + 2)*(l + 15244)
Factor 2*k**3/5 + 766*k**2 + 30544*k/5 + 61024/5.
2*(k + 4)**2*(k + 1907)/5
Find b, given that -12*b**5 + 680880*b**4 + 680889*b**3 + 170223*b**2 = 0.
-1/2, 0, 56741
Factor -5*q**3 - 54430*q**2 - 54415*q + 108850.
-5*(q - 1)*(q + 2)*(q + 10885)
Let -u**2 - 34*u + 611 = 0. What is u?
-47, 13
Determine s so that 20*s**4/9 - 74038*s**3/9 - 2468*s**2/3 = 0.
-1/10, 0, 3702
Factor b**3/3 - 1277*b**2 - 3832*b/3.
b*(b - 3832)*(b + 1)/3
Determine v so that -v**3/6 + 1055*v**2/6 + 2116*v/3 + 706 = 0.
-2, 1059
Solve 2*i**2 - 9528*i + 95080 = 0 for i.
10, 4754
Factor -5*u**2 - 1255*u + 68310.
-5*(u - 46)*(u + 297)
Factor -2*i**2/5 + 1684*i/5 + 5142.
-2*(i - 857)*(i + 15)/5
Factor -4*q**2 + 716*q - 31312.
-4*(q - 103)*(q - 76)
Factor 4*a**3 - 180*a**2 - 4*a + 180.
4*(a - 45)*(a - 1)*(a + 1)
Solve 388*a**5 - 4688*a**4 - 780*a**3 + 13288*a**2 + 8224*a - 768 = 0 for a.
-1, 8/97, 2, 12
Factor 2*d**3/3 + 2830*d**2/3 + 333232*d - 334176.
2*(d - 1)*(d + 708)**2/3
Factor 2*y**2 - 3128*y + 554880.
2*(y - 1360)*(y - 204)
Find l, given that 3*l**2/5 - 1467*l/5 - 2994 = 0.
-10, 499
Find w, given that 3*w**2 - 226782*w - 226785 = 0.
-1, 75595
Let -u**2/4 - 151584*u - 22977709056 = 0. What is u?
-303168
Find u, given that -u**3 + 231*u**2 - 12230*u + 12000 = 0.
1, 80, 150
Factor -2*h**3 - 292*h**2 - 1946*h.
-2*h*(h + 7)*(h + 139)
What is u in -u**5/3 + 71*u**4/3 - 70*u**3/3 = 0?
0, 1, 70
Find f, given that -4*f**4 + 598504*f**3 - 22386742836*f**2 - 89554153520*f - 89556547600 = 0.
-2, 74815
Solve -5*p**4/2 - 6475*p**3 - 4186080*p**2 + 8398080*p = 0 for p.
-1296, 0, 2
Factor -2*w**2/15 + 566*w/15 - 636.
-2*(w - 265)*(w - 18)/15
Let -5*c**3 + 263195*c**2 - 263190*c = 0. Calculate c.
0, 1, 52638
Factor -3*i**2 - 6840*i + 370947.
-3*(i - 53)*(i + 2333)
Let 245*q**4 - 11508035*q**3 + 29590770*q**2 - 14090740*q + 1878760 = 0. Calculate q.
2/7, 2, 46969
Solve 12*a**3/7 + 47794*a**2 + 278788*a/7 - 55758/7 = 0.
-27879, -1, 1/6
Let 86044176*r**4/7 - 18552*r**3/7 + r**2/7 = 0. Calculate r.
0, 1/9276
Solve -y**4 + 39*y**3 + 692*y**2 - 804*y - 1456 = 0.
-14, -1, 2, 52
Solve h**3/9 + 53*h**2 + 17000*h/3 + 1576784/9 = 0 for h.
-341, -68
Let -3*i**3 - 20217*i**2 - 34171512*i - 373444368 = 0. Calculate