Factor -4*j**2 - 8560*j - 17104.
-4*(j + 2)*(j + 2138)
Factor 2*u**3/15 + 384*u**2/5 + 382*u/5 - 460/3.
2*(u - 1)*(u + 2)*(u + 575)/15
Factor 2*h**4 + 6*h**3 - 1352*h**2 + 1344*h.
2*h*(h - 24)*(h - 1)*(h + 28)
Factor 2*i**5/7 + 1212*i**4/7 + 213426*i**3/7 + 9031824*i**2/7 + 111064608*i/7.
2*i*(i + 27)**2*(i + 276)**2/7
Find j such that 3*j**2 - 5628*j - 5631 = 0.
-1, 1877
Factor -2*v**3 - 212*v**2 + 1328*v - 1792.
-2*(v - 4)*(v - 2)*(v + 112)
Suppose -1696*i**4 + 1328*i**3 + 1830*i**2 - 1058*i + 136 = 0. What is i?
-1, 1/4, 68/53
What is d in -5*d**3/3 + 117*d**2/2 - 425*d/2 + 62/3 = 0?
1/10, 4, 31
What is m in -5*m**4 - 27650*m**3 - 50949720*m**2 - 31249087840*m + 62702195840 = 0?
-1844, 2
Factor -5*s**2 - 21400*s - 931920.
-5*(s + 44)*(s + 4236)
Solve 3*l**2 - 12372*l - 273636 = 0 for l.
-22, 4146
Factor s**4/5 - 14*s**3/5 + 9*s**2 - 52*s/5 + 4.
(s - 10)*(s - 2)*(s - 1)**2/5
Suppose 2*d**3 + 4074*d**2 - 131904*d + 1059328 = 0. Calculate d.
-2069, 16
Suppose -30*s**5 + 12025*s**4 - 230105*s**3 + 1303485*s**2 - 1627965*s - 308610 = 0. What is s?
-1/6, 2, 9, 381
Factor -5*n**2 - 59000*n - 174050000.
-5*(n + 5900)**2
What is a in a**5 - 567*a**4 + 13055*a**3 - 12489*a**2 = 0?
0, 1, 23, 543
Determine t so that -9*t**4/2 + 19911*t**3/2 - 46425*t**2/2 + 33153*t/2 - 3315 = 0.
1/3, 1, 2210
Factor -2*n**3/3 + 11080*n**2/3 - 15367936*n/3 + 61294592/3.
-2*(n - 2768)**2*(n - 4)/3
Suppose 22*j**5 + 608*j**4 + 65942*j**3/11 + 279816*j**2/11 + 500256*j/11 + 279936/11 = 0. Calculate j.
-108/11, -4, -3, -1
Factor -2*v**3 - 20932*v**2 + 41870*v - 20936.
-2*(v - 1)**2*(v + 10468)
Suppose -2*l**3/17 - 28*l**2/17 + 6*l = 0. Calculate l.
-17, 0, 3
Factor r**5 - 29*r**4 + 230*r**3 - 604*r**2 + 504*r.
r*(r - 18)*(r - 7)*(r - 2)**2
Find c, given that 5*c**3 - 130*c**2 - 12355*c + 12480 = 0.
-39, 1, 64
Find f such that -2*f**2/11 + 13924*f/11 - 41754/11 = 0.
3, 6959
Determine r, given that 22*r**3 - 657*r**2/2 + 571*r/2 + 21 = 0.
-3/44, 1, 14
Let t**2/2 - 662983*t + 439546458289/2 = 0. Calculate t.
662983
Solve -3*y**2/2 - 3135*y/2 + 1569 = 0.
-1046, 1
Factor -4*t**2 - 808*t - 21760.
-4*(t + 32)*(t + 170)
Solve -k**2/2 - 11877*k/2 + 11879 = 0 for k.
-11879, 2
Determine d so that 2*d**2/11 + 81864*d/11 - 245610/11 = 0.
-40935, 3
Factor 2*q**3/3 + 1484*q**2/3 + 494*q.
2*q*(q + 1)*(q + 741)/3
Factor -3*o**3/2 + 1683*o**2/2 - 280125*o/2 + 14578125/2.
-3*(o - 311)*(o - 125)**2/2
Suppose 4*f**2 - 1200*f + 77456 = 0. What is f?
94, 206
Determine l so that 5*l**2 + 155*l - 510 = 0.
-34, 3
Factor -a**3/5 - 1101*a**2/5 - 20538*a/5 + 4328.
-(a - 1)*(a + 20)*(a + 1082)/5
Suppose -o**3/10 - 55*o**2/2 - 7103*o/5 + 2952 = 0. What is o?
-205, -72, 2
Determine t so that 5*t**5 + 1180*t**4 + 6800*t**3 - 23120*t**2 - 27280*t + 73600 = 0.
-230, -8, -2, 2
What is m in -14*m**3 - 2096*m**2 + 2714*m - 604 = 0?
-151, 2/7, 1
Solve 2*s**3/7 + 2258*s**2/7 + 830038*s/7 + 99929302/7 = 0.
-491, -319
Determine y so that -99*y**4 - 80868*y**3 + 1502079*y**2 + 1322868*y + 190380 = 0.
-835, -2/3, -2/11, 19
Factor -4*s**4 - 112*s**3 - 868*s**2 - 1320*s.
-4*s*(s + 2)*(s + 11)*(s + 15)
Factor z**4 + 2856*z**3 + 25638*z**2 + 42712*z + 19929.
(z + 1)**2*(z + 7)*(z + 2847)
Factor -237*p**2/7 - 168979*p/7 + 1426/7.
-(p + 713)*(237*p - 2)/7
Factor -d**2/3 + 189100*d/3 - 8939702500/3.
-(d - 94550)**2/3
Factor -3*i**2/5 + 45*i + 9048/5.
-3*(i - 104)*(i + 29)/5
Factor 2*g**3/11 - 703506*g**2/11 + 1407006*g/11 - 703502/11.
2*(g - 351751)*(g - 1)**2/11
Factor -380*b**3 + 2172*b**2 + 6728*b + 1728.
-4*(b - 8)*(b + 2)*(95*b + 27)
Suppose -o**2/8 - 1171*o/4 + 2940 = 0. What is o?
-2352, 10
Let -x**3 - 26*x**2 - 111*x - 126 = 0. What is x?
-21, -3, -2
Factor -3*k**3 - 2034*k**2 + 24732*k - 74520.
-3*(k - 6)**2*(k + 690)
Determine f so that 3*f**4/2 - 28837*f**3/2 + 69331349*f**2/2 - 161654615*f/2 + 46176050 = 0.
1, 4/3, 4805
Solve -4*z**2 - 1290940*z - 3872784 = 0.
-322732, -3
Factor -3*m**4/2 + 9939*m**3 + 19881*m**2/2.
-3*m**2*(m - 6627)*(m + 1)/2
Suppose m**2/2 - 35190*m + 619168050 = 0. Calculate m.
35190
Solve 3*k**5 - 696*k**4 - 10977*k**3 + 160470*k**2 - 442800*k = 0.
-24, 0, 5, 246
Find h, given that 2*h**3 - 1296*h**2 + 135786*h + 25876508 = 0.
-94, 371
Find z such that 2*z**4/7 + 32*z**3/7 - 236*z**2/7 - 2192*z/7 + 342 = 0.
-19, -7, 1, 9
Factor 2*a**3 + 40*a**2 - 294*a + 468.
2*(a - 3)**2*(a + 26)
Solve c**2 + 11845*c - 11846 = 0.
-11846, 1
Factor 10*x**2 + 11036*x + 33018.
2*(x + 3)*(5*x + 5503)
Factor -s**2/2 - 1283*s/2 + 49494.
-(s - 73)*(s + 1356)/2
Suppose -3*k**4/7 + 30*k**3 + 3408*k**2/7 + 1440*k = 0. What is k?
-10, -4, 0, 84
Find a such that -2*a**2/17 + 726258*a/17 - 1452508/17 = 0.
2, 363127
Factor -2*z**4/3 + 22844*z**3/3 - 65139602*z**2/3 - 174071280*z - 348386400.
-2*(z - 5715)**2*(z + 4)**2/3
Find g such that 3*g**5/5 + 28*g**4/5 + 73*g**3/5 + 8*g**2/5 - 112*g/5 = 0.
-4, -7/3, 0, 1
Find w, given that -w**5/4 + 609*w**4/4 + 21541*w**3/4 + 205859*w**2/4 + 87384*w + 41152 = 0.
-16, -1, 643
Factor 3*s**4 - 111*s**3 + 1158*s**2 - 3696*s.
3*s*(s - 22)*(s - 8)*(s - 7)
Factor -27864*a**3 - 24849*a**2/2 - 1394*a - 2.
-(9*a + 2)**2*(688*a + 1)/2
What is k in -k**3/4 + 81*k**2/2 - 2205*k/4 = 0?
0, 15, 147
Find x such that -2*x**2 - 18504*x + 18506 = 0.
-9253, 1
What is f in f**2/5 - 14031*f/5 - 647542/5 = 0?
-46, 14077
What is z in 5*z**3 + 645*z**2 + 3130*z + 3720 = 0?
-124, -3, -2
Find i such that 21*i**5 + 1275*i**4 - 1668*i**3 + 372*i**2 = 0.
-62, 0, 2/7, 1
Factor 6*m**2/11 + 10576*m + 38778/11.
2*(m + 19389)*(3*m + 1)/11
Suppose -5*k**2 - 23460*k - 27518580 = 0. Calculate k.
-2346
Let -4*q**2 - 13516*q = 0. Calculate q.
-3379, 0
Determine m, given that 2*m**3/15 + 52984*m**2/15 + 351018976*m/15 + 1403228288/15 = 0.
-13244, -4
Factor m**3 + 8594*m**2 - 8595*m.
m*(m - 1)*(m + 8595)
Factor -h**2/4 + 18983*h/2 - 360354289/4.
-(h - 18983)**2/4
Determine u so that 3*u**2/7 - 225*u - 36102/7 = 0.
-22, 547
Factor 2*g**3/7 + 52092*g**2/7 - 44658*g + 468936/7.
2*(g - 3)**2*(g + 26052)/7
Factor 3*a**3 + 99189*a**2 - 99192*a.
3*a*(a - 1)*(a + 33064)
Suppose -3*u**2 - 96948*u - 783242892 = 0. What is u?
-16158
Factor 22*y**2/7 - 36560*y/7 - 6648/7.
2*(y - 1662)*(11*y + 2)/7
Factor 10*o**5/7 + 2892*o**4/7 - 2320*o**3/7.
2*o**3*(o + 290)*(5*o - 4)/7
Find t such that 720*t**4 + 467880*t**3 + 855125*t**2 - 152270*t + 6480 = 0.
-648, -2, 1/12
Determine g, given that -2*g**5/7 + 448*g**4 - 176510*g**3 + 4907836*g**2/7 - 6121496*g/7 + 2446096/7 = 0.
1, 2, 782
Factor -3*v**2/2 + 1299081*v - 562537148187/2.
-3*(v - 433027)**2/2
What is m in 1951740*m**3 - 186258*m**2 + 31232*m/7 - 6/7 = 0?
3/15490, 1/21
Factor 3*v**3 - 222*v**2 - 972*v + 2808.
3*(v - 78)*(v - 2)*(v + 6)
Factor 20*o**3 + 4465*o**2 - 12445*o - 3390.
5*(o - 3)*(o + 226)*(4*o + 1)
Suppose -100*u**5 - 75360*u**4 - 14182744*u**3 + 5682144*u**2 - 568516*u = 0. Calculate u.
-377, 0, 1/5
Factor -929*d**3/3 - 641*d**2 - 130*d/3.
-d*(d + 2)*(929*d + 65)/3
Factor -k**3 + 202*k**2 + 1453*k + 2090.
-(k - 209)*(k + 2)*(k + 5)
Suppose -23811*d**5 - 309549*d**4 - 1428738*d**3 - 2667192*d**2 - 1524576*d - 384 = 0. Calculate d.
-4, -1, -2/7937
Find v, given that -5*v**5/2 - 505*v**4 - 31515*v**3 - 600480*v**2 - 5852925*v/2 + 8515125 = 0.
-87, -15, 2
Determine h, given that 2*h**4/3 + 218*h**3/3 + 5806*h**2/3 - 8690*h/3 - 24200 = 0.
-55, -3, 4
Determine r so that -15*r**5 - 756*r**4 - 13620*r**3 - 102738*r**2 - 277389*r - 95370 = 0.
-17, -11, -5, -2/5
Solve 3*x**2/2 - 5097*x + 8659803/2 = 0.
1699
Suppose 4*m**5 - 364*m**4 + 860*m**3 + 17068*m**2 + 15840*m = 0. Calculate m.
-5, -1, 0, 9, 88
Determine f, given that -5*f**3 - 66075*f**2 + 5*f + 66075 = 0.
-13215, -1, 1
Determine w, given that -4*w**2/3 - 50540*w/3 - 50536/3 = 0.
-12634, -1
Find p such that 3*p**3/5 - 1041*p**2/5 + 1038*p/5 = 0.
0, 1, 346
Factor 2*r**4 + 52840*r**3 + 349166684*r**2 + 2093573640*r + 3139647282.
2*(r + 3)**2*(r + 13207)**2
Let 3*d**5 - 13203*d**4 + 26385*d**3 + 39591*d**2 = 0. What is d?
-1, 0, 3, 4399
What is w in -56*w**2/3 + 13274*w/3 - 158 = 0?
1/28, 237
Let 4*s**2/3 + 1268*s + 135272/3 = 0. Calculate s.
-914, -37
Factor -4*f**4 - 336*f**3 + 688*f**2.
-4*f**2*(f - 2)*(f + 86)
Factor -l**3/2 - 455*l**2/2 - 29744*l - 843648.
-(l + 39)*(l + 208)**2/2
Solve 2*g**3 - 18*g**2 - 128*g + 312 = 0