 - 43455)*(2*w - 1)**3/7
Factor j**3/5 - 2535*j**2 + 40157568*j/5 + 40170244/5.
(j - 6338)**2*(j + 1)/5
Suppose -2*t**5 + 52*t**4 + 444*t**3 + 608*t**2 - 442*t - 660 = 0. What is t?
-5, -2, -1, 1, 33
Factor -40*f**2 - 835*f + 97905.
-5*(f + 61)*(8*f - 321)
Factor 15138*k**3/13 + 29580*k**2/13 - 1384*k/13 + 16/13.
2*(k + 2)*(87*k - 2)**2/13
Find x, given that x**3 - 205430*x**2 + 10550165792*x + 21101153312 = 0.
-2, 102716
Factor 5*v**2/4 + 42823*v/4 - 8565/2.
(v + 8565)*(5*v - 2)/4
Factor 12*o**3 + 430*o**2 + 2088*o - 360.
2*(o + 6)*(o + 30)*(6*o - 1)
Suppose 4*t**3 + 16468*t**2 + 16464*t = 0. Calculate t.
-4116, -1, 0
Solve b**5/4 + 19*b**4 - 161*b**3/2 - 37*b**2 + 969*b/4 + 180 = 0.
-80, -1, 3
Factor 2*i**2 - 2146*i + 35904.
2*(i - 1056)*(i - 17)
Solve -3*u**2 - 7389*u - 22140 = 0 for u.
-2460, -3
What is i in 52*i**4 + 898*i**3/11 - 798*i**2/11 - 632*i/11 - 40/11 = 0?
-2, -1/2, -10/143, 1
Determine d, given that -d**3/4 + 18463*d**2/4 + d/4 - 18463/4 = 0.
-1, 1, 18463
Suppose 5*m**2 - 810395*m - 810400 = 0. What is m?
-1, 162080
Find r such that -r**3 - 1931*r**2 - 1924*r + 11580 = 0.
-1930, -3, 2
Factor 3*x**5/4 + 33*x**4/2 - 4677*x**3/4 - 13860*x**2 + 529200*x.
3*x*(x - 24)**2*(x + 35)**2/4
Factor -o**2/2 - 5238*o - 10474.
-(o + 2)*(o + 10474)/2
Solve 2*b**2/3 + 361714*b/3 - 120572 = 0.
-180858, 1
Solve 5*j**4/3 + 8710*j**3/3 + 94600*j**2 + 3108490*j/3 + 11373395/3 = 0 for j.
-1709, -11
Suppose -u**3 + 247*u**2 - 14150*u + 13904 = 0. What is u?
1, 88, 158
Suppose -26336151853125*c**5 + 158012431546500*c**4 - 210662337645480*c**3 - 179175270624*c**2/5 - 10159056*c/5 - 192/5 = 0. What is c?
-2/35275, 2, 4
Find o such that 34*o**4/11 + 6*o**3/11 - 618*o**2/11 - 1190*o/11 - 600/11 = 0.
-3, -20/17, -1, 5
Factor -2*g**2/5 + 326*g/5.
-2*g*(g - 163)/5
Find h such that 18*h**3 + 23541*h**2 - 27486*h + 3927 = 0.
-1309, 1/6, 1
Factor -p**3/5 + 48*p**2/5 - 668*p/5 + 2496/5.
-(p - 26)*(p - 16)*(p - 6)/5
Determine y so that -2*y**5/5 - 288*y**4/5 - 3348*y**3/5 + 7568*y**2/5 - 786*y = 0.
-131, -15, 0, 1
Factor -o**4 + 54*o**3 - 48*o**2 - 262*o - 159.
-(o - 53)*(o - 3)*(o + 1)**2
Factor 2*d**3/5 + 1764*d**2 + 8810*d.
2*d*(d + 5)*(d + 4405)/5
Determine d, given that 3*d**3 - 963*d**2 + 85617*d - 1299657 = 0.
19, 151
Solve 3*t**3 - 161193*t**2 + 161184*t + 322380 = 0.
-1, 2, 53730
What is q in -q**3/7 + 5849*q**2/7 - 1643960*q/7 + 118453012/7 = 0?
146, 5557
Factor 5*p**2 - 15*p - 2990.
5*(p - 26)*(p + 23)
Factor c**3/8 + 113*c**2/8 - 273*c - 48510.
(c - 55)*(c + 84)**2/8
Suppose 4*p**4 - 31228*p**3 - 62488*p**2 + 124912*p + 249888 = 0. Calculate p.
-2, 2, 7809
Let -5*s**4/3 + 18380*s**3/3 - 16909465*s**2/3 + 33304810*s/3 + 134982760 = 0. What is s?
-4, 6, 1837
Factor 2*s**2/5 - 10832*s/5 - 65064/5.
2*(s - 5422)*(s + 6)/5
Factor -v**4 + 33*v**3 - 194*v**2 + 312*v.
-v*(v - 26)*(v - 4)*(v - 3)
Solve -4*p**3 + 62452*p**2 - 243484492*p - 2196421956 = 0.
-9, 7811
Let -2*a**3/5 - 160588*a**2/5 - 3223563218*a/5 = 0. What is a?
-40147, 0
Let -2*x**3/9 + 172288*x**2/9 - 3710394368*x/9 = 0. What is x?
0, 43072
Factor 2*m**4 - 354*m**3 + 14352*m**2 - 169000*m.
2*m*(m - 125)*(m - 26)**2
Factor -3*m**2 + 1061*m/2 - 34529/2.
-(m - 43)*(6*m - 803)/2
What is u in 4*u**3 + 2084*u**2 + 2080*u = 0?
-520, -1, 0
Find b such that -3*b**2 - 1248*b - 38964 = 0.
-382, -34
Factor -5*c**4/6 - 410560*c**3/3 - 7491305835*c**2 - 410021635424180*c/3 + 4101340152760175/6.
-5*(c - 5)*(c + 54743)**3/6
Solve -2*y**2 + 11988*y - 17964018 = 0.
2997
Determine b, given that 8*b**5/5 - 164*b**4/5 + 408*b**3/5 + 5508*b**2/5 - 864*b - 36288/5 = 0.
-7/2, -3, 3, 12
Determine z so that z**4/3 + 1060*z**3 + 837378*z**2 - 25411540*z/3 + 7632075 = 0.
-1595, 1, 9
Suppose -p**4/5 + 64171*p**3/5 - 1372532112*p**2/5 + 9782492803328*p/5 + 9789357068288 = 0. What is p?
-5, 21392
Solve -3*l**3/2 + 201*l**2/2 - 1185*l + 3816 = 0.
6, 8, 53
Find s, given that -2*s**4/15 + 1088*s**3/15 - 2486*s**2/5 - 2148*s = 0.
-3, 0, 10, 537
Suppose 5*m**3 + 4865*m**2 + 1333400*m + 70484880 = 0. Calculate m.
-452, -69
Find s such that 2*s**4/7 + 70*s**3 - 10526*s**2/7 + 19574*s/7 - 9540/7 = 0.
-265, 1, 18
Factor 671*q**2 + 1231*q - 222.
(q + 2)*(671*q - 111)
What is v in 2*v**2/7 + 4380*v/7 + 78192/7 = 0?
-2172, -18
Let a**3 - 281*a**2 + 13904*a + 873740 = 0. Calculate a.
-35, 158
Factor 2*u**3/7 - 33060*u**2/7 + 19507758*u + 78106616.
2*(u - 8267)**2*(u + 4)/7
Factor -y**2/7 - 3747*y/7 + 82918/7.
-(y - 22)*(y + 3769)/7
Factor 2*b**4 - 9306*b**3 + 74334*b**2 - 65030*b.
2*b*(b - 4645)*(b - 7)*(b - 1)
Factor -4*q**2 - 10666936*q - 7111470226756.
-4*(q + 1333367)**2
Factor -2*s**2/3 + 61540*s - 1420189350.
-2*(s - 46155)**2/3
Solve u**2/4 + 2617*u/4 - 1965 = 0 for u.
-2620, 3
Find t, given that 2*t**5/7 + 614*t**4/7 + 32402*t**3/7 - 2495158*t**2/7 - 13580500*t/7 + 5267504 = 0.
-173, -7, 2, 44
What is v in 12*v**5/11 + 254*v**4/11 + 498*v**3/11 + 76*v**2/11 = 0?
-19, -2, -1/6, 0
Solve -k**2/10 - 152379*k/5 - 23219359641/10 = 0.
-152379
Determine l, given that -625*l**3 - 1230*l**2 - 585*l + 20 = 0.
-1, 4/125
Factor 8*i**3 - 438*i**2 + 1138*i + 312.
2*(i - 52)*(i - 3)*(4*i + 1)
Suppose f**2/4 - 269*f/4 + 1785/2 = 0. What is f?
14, 255
Find x, given that 3*x**3 + 131943*x**2 - 3*x - 131943 = 0.
-43981, -1, 1
Factor 2*u**5/7 + 12864*u**4/7 + 20698170*u**3/7 + 41344900*u**2/7.
2*u**2*(u + 2)*(u + 3215)**2/7
Factor -2*o**2 - 348*o - 2970.
-2*(o + 9)*(o + 165)
Factor v**3/6 - 52*v**2/3 - 377*v/2 - 171.
(v - 114)*(v + 1)*(v + 9)/6
Suppose 2*t**5 - 3714*t**4 + 11124*t**3 = 0. Calculate t.
0, 3, 1854
Find k such that -3*k**4/2 + 63*k**3/2 - 60*k**2 - 666*k - 816 = 0.
-2, 8, 17
What is p in 3*p**3/5 + 3171*p**2/5 - 28758*p/5 + 25584/5 = 0?
-1066, 1, 8
Suppose -4*y**4/9 + 5272*y**3/3 - 5216636*y**2/3 + 31189184*y/9 + 15618304/3 = 0. Calculate y.
-1, 3, 1976
Factor 3*d**3 + 300*d**2 - 303*d.
3*d*(d - 1)*(d + 101)
Factor 5*y**3 + 84765*y**2 - 169545*y + 84775.
5*(y - 1)**2*(y + 16955)
Solve 2*w**3 + 4324*w**2 - 2*w - 4324 = 0.
-2162, -1, 1
Let -y**4/8 - 325*y**3/8 - 36771*y**2/8 - 1601959*y/8 - 2185454 = 0. What is y?
-103, -16
Solve -z**3 + 42719*z**2 - 128150*z + 85432 = 0 for z.
1, 2, 42716
What is s in 4*s**3 + 6904*s**2 + 204420*s + 1526400 = 0?
-1696, -15
Let -4*g**5/9 - 40*g**4/9 + 412*g**3/9 + 448*g**2/9 = 0. Calculate g.
-16, -1, 0, 7
Let p**4/2 - 1317*p**3/2 + 213144*p**2 + 2424928*p = 0. What is p?
-11, 0, 664
Factor -37761025*i**2 - 147480*i - 144.
-(6145*i + 12)**2
Solve 5*d**3/2 + 110959*d**2 + 1231167776*d - 492484864 = 0.
-22192, 2/5
Factor 2*y**2/3 - 215744*y/3 + 5818184192/3.
2*(y - 53936)**2/3
Suppose -4*r**2 + 123492*r - 123488 = 0. What is r?
1, 30872
Let -8*n**5/9 + 3626*n**4/9 + 13694*n**3/9 + 7318*n**2/9 - 914*n/3 = 0. What is n?
-3, -1, 0, 1/4, 457
Solve 2*v**2/3 - 802*v/3 + 10052 = 0 for v.
42, 359
Find p such that p**4/5 - 19908*p**3/5 + 59694*p**2 - 298420*p + 497325 = 0.
5, 19893
Let -2*j**3/9 - 44*j**2/3 + 712*j + 13328/9 = 0. What is j?
-98, -2, 34
Determine h, given that -h**4 + 87*h**3 - 1470*h**2 + 5608*h - 4224 = 0.
1, 4, 16, 66
Solve -16*y**2 - 370580*y - 92644 = 0.
-23161, -1/4
Factor -l**2/6 - 541*l/6 + 1677.
-(l - 18)*(l + 559)/6
Factor j**2/5 - 4259712*j/5 + 4536286580736/5.
(j - 2129856)**2/5
Let -74*l**3/15 - 778928*l**2/15 - 409956122*l/3 - 110796676/15 = 0. What is l?
-5263, -2/37
Suppose 4*x**2 + 1680*x - 215476 = 0. Calculate x.
-523, 103
Let -3*z**2 - 1749*z + 109440 = 0. Calculate z.
-640, 57
Let -3*k**2 + 125*k - 1298 = 0. What is k?
59/3, 22
Suppose 2*z**2/13 - 256*z + 280350/13 = 0. What is z?
89, 1575
What is f in -3*f**2/2 + 263031*f - 23061768987/2 = 0?
87677
Solve -a**3/10 - 113*a**2/2 - 57619*a/10 + 11637/2 = 0 for a.
-431, -135, 1
Factor 2*b**4 + 366*b**3 + 24846*b**2 + 743002*b + 8270520.
2*(b + 41)**3*(b + 60)
Factor 64*m**4 - 15904*m**3 + 992004*m**2 - 493024*m + 61504.
4*(m - 124)**2*(4*m - 1)**2
Solve 3*y**4/5 - 159*y**3 + 54582*y**2/5 - 49764*y - 60840 = 0 for y.
-1, 6, 130
Let -4*p**3 - 1816*p**2 - 58276*p - 485520 = 0. Calculate p.
-420, -17
What is c in 5*c**5 + 385*c**4 + 6370*c**3 + 27260*c**2 - 12600*c - 141120 = 0?
-56, -14, -6, -3, 2
Suppose -5*c**5/3 - 143*c**4/3 + 4288*c**3/3 - 564*c**2 = 0. Calculate c.
-47, 0, 2/5, 18
Suppose 18*z**5 - 804*z**4 - 2332*z**3 + 17048*z*