
23, 999
Determine a, given that -4*a**4 + 188*a**3 + 7020*a**2 + 69012*a + 215784 = 0.
-9, 74
Solve 2*a**5 + 570*a**4 + 1698*a**3 + 1694*a**2 + 564*a = 0.
-282, -1, 0
Suppose -w**3/6 - 14453*w**2/2 + w/6 + 14453/2 = 0. What is w?
-43359, -1, 1
Factor 2*u**3/9 - 368956*u**2/9 + 17016066242*u/9.
2*u*(u - 92239)**2/9
Factor -n**2 + 71444*n/5 - 57152/5.
-(n - 14288)*(5*n - 4)/5
Find b such that 2*b**2/5 + 7662092*b/5 + 7338456727058/5 = 0.
-1915523
Suppose 12*f**4 - 125156*f**3 - 292076*f**2 - 208636*f - 41728 = 0. Calculate f.
-1, -1/3, 10432
What is w in -9*w**3 + 358072*w**2 - 3561503469*w - 791462898 = 0?
-2/9, 19893
What is m in 2*m**3/3 + 2650*m**2/3 - 8*m/3 - 10600/3 = 0?
-1325, -2, 2
Solve u**3/8 - 25439*u**2/8 + 20221620*u + 20224800 = 0.
-1, 12720
Suppose 4*p**3 + 21656*p**2 + 43296*p = 0. Calculate p.
-5412, -2, 0
Factor -2*d**2 - 21572*d - 58168898.
-2*(d + 5393)**2
Factor 3*x**3 - 234*x**2 - 30873*x - 30636.
3*(x - 148)*(x + 1)*(x + 69)
Determine x so that -x**2/3 + 501080*x/3 - 62770291600/3 = 0.
250540
Factor 5*i**4 + 145*i**3 - 2040*i**2 + 6260*i - 5600.
5*(i - 7)*(i - 2)**2*(i + 40)
Suppose -c**4 - 75*c**3 + 393*c**2 - 557*c + 240 = 0. Calculate c.
-80, 1, 3
Find p, given that 2*p**2/9 + 15740*p/3 - 47222/9 = 0.
-23611, 1
Solve -2114*o**2/13 - 10496*o/13 + 370/13 = 0.
-5, 37/1057
Factor -2*r**4 - 72*r**3 + 978*r**2 - 2632*r.
-2*r*(r - 7)*(r - 4)*(r + 47)
Solve -p**2/3 - 215*p/3 + 518 = 0.
-222, 7
Solve -2*l**2 + 27796*l - 111152 = 0.
4, 13894
Let -5*c**3/2 - 530*c**2 + 1125*c/2 + 6390 = 0. What is c?
-213, -3, 4
Factor -x**2/5 - 278854*x/5 + 55771.
-(x - 1)*(x + 278855)/5
Factor 5*b**2/3 - 71870*b/3 - 263725.
5*(b - 14385)*(b + 11)/3
Let -q**2 + 60881*q + 60882 = 0. What is q?
-1, 60882
Factor 924*a**2 + 23098*a - 50.
2*(a + 25)*(462*a - 1)
Determine j so that -j**2 - 65738*j - 1080371161 = 0.
-32869
Factor 3*a**3 - 16353*a**2 - 49140*a + 294516.
3*(a - 5454)*(a - 3)*(a + 6)
Factor 2*r**2 + 30324*r + 114943122.
2*(r + 7581)**2
Factor -4*d**2/7 + 226736*d/7 - 3213075856/7.
-4*(d - 28342)**2/7
Determine x so that 7*x**3 + 81*x**2 - 3816*x + 1620 = 0.
-30, 3/7, 18
Solve 5*k**4 + 340*k**3 - 3735*k**2 + 12690*k - 14040 = 0.
-78, 3, 4
Factor -a**3/7 + 1355*a**2 - 22505527*a/7 + 67431243/7.
-(a - 4741)**2*(a - 3)/7
Factor -5*o**2 - 41420*o - 85780820.
-5*(o + 4142)**2
Let -s**5/2 + 53*s**4/2 - 418*s**3 + 2126*s**2 - 2784*s = 0. Calculate s.
0, 2, 6, 16, 29
Determine u so that -2*u**3/3 - 4820*u**2/3 + 9658*u - 14496 = 0.
-2416, 3
Factor -y**2 - 1450*y - 63225.
-(y + 45)*(y + 1405)
Factor -5*z**2 - 1350570*z - 91201966245.
-5*(z + 135057)**2
What is n in -4*n**2 - 968*n + 5952 = 0?
-248, 6
Factor 20*p**3 - 29652*p**2 - 11864*p.
4*p*(p - 1483)*(5*p + 2)
Let 3*c**2/8 - 3861*c/8 + 34263/4 = 0. Calculate c.
18, 1269
Factor -32*y**2 + 244*y + 396.
-4*(y - 9)*(8*y + 11)
Factor b**2 + 661856*b + 109513341184.
(b + 330928)**2
Factor -v**5 - 1577*v**4 - 11005*v**3 - 23563*v**2 - 20414*v - 6280.
-(v + 1)**3*(v + 4)*(v + 1570)
Suppose k**2/2 + 1207*k/2 = 0. What is k?
-1207, 0
Factor 84*s**5 + 248*s**4 + 244*s**3 + 80*s**2.
4*s**2*(s + 1)**2*(21*s + 20)
Factor 3*o**2/2 + 2865*o/2 + 341034.
3*(o + 452)*(o + 503)/2
Let 2*r**2 - 1012*r - 3054 = 0. What is r?
-3, 509
Factor -5*p**2 + 1880830*p + 1880835.
-5*(p - 376167)*(p + 1)
Factor 4*o**2/3 - 196*o/3 - 1280.
4*(o - 64)*(o + 15)/3
Factor 2*m**2 + 31596*m + 124788402.
2*(m + 7899)**2
Let 8*r**5 - 84*r**4 + 320*r**3 - 540*r**2 + 392*r - 96 = 0. Calculate r.
1/2, 1, 2, 3, 4
Find l such that -3*l**5 - 3441*l**4 - 978009*l**3 + 5021589*l**2 + 12963456*l + 6967296 = 0.
-576, -1, 7
Factor 5*r**2 - 4945*r.
5*r*(r - 989)
Solve -x**3/9 - 29*x**2/3 - 1535*x/9 - 161 = 0 for x.
-63, -23, -1
Suppose -2*d**4 - 82930*d**3 - 331698*d**2 - 414614*d - 165844 = 0. Calculate d.
-41461, -2, -1
Factor 5*r**3 + 60*r**2 - 1695*r - 1750.
5*(r - 14)*(r + 1)*(r + 25)
Suppose 4*s**2/5 - 1309264*s/5 - 1309268/5 = 0. Calculate s.
-1, 327317
Factor 507*c**4 - 121316*c**3 + 21640516*c**2/3 + 5225920*c + 940800.
(c - 120)**2*(39*c + 14)**2/3
Factor 10*a**3/3 - 32*a**2/3 - 88*a/3 + 224/3.
2*(a - 4)*(a - 2)*(5*a + 14)/3
Let 4*o**3 - 504*o**2 - 14308*o - 13800 = 0. Calculate o.
-23, -1, 150
Find h such that 4*h**2/3 - 392528*h - 2355184/3 = 0.
-2, 294398
Solve -95*r**3 + 83570*r**2 - 18365600*r - 5808000 = 0.
-6/19, 440
Suppose -51*y**5/8 - 69*y**4/2 - 195*y**3/4 + 15*y**2/2 + 441*y/8 + 27 = 0. What is y?
-3, -24/17, -1, 1
What is c in 18*c**4/17 + 35328*c**3/17 + 164522*c**2/17 + 97908*c/17 + 15664/17 = 0?
-1958, -4, -1/3
Let -5*h**3 - 175*h**2 + 5390*h - 27440 = 0. What is h?
-56, 7, 14
Factor -2*v**3 + 18*v.
-2*v*(v - 3)*(v + 3)
Factor 309457442*c**2/9 + 49756*c/3 + 2.
2*(12439*c + 3)**2/9
Find t such that 2*t**5/11 + 408*t**4/11 - 114*t**3 - 2468*t**2/11 + 3312*t/11 = 0.
-207, -2, 0, 1, 4
Find v such that 2*v**3 + 634970*v**2 + 50398680096*v + 50398045128 = 0.
-158742, -1
Suppose 15*z**4 + 161800*z**3 - 215780*z**2 - 215760*z = 0. Calculate z.
-10788, -2/3, 0, 2
Let 5*s**4 - 2430*s**3 + 72640*s**2 = 0. Calculate s.
0, 32, 454
Find p such that -p**5 - 2540*p**4 - 35388*p**3 - 60624*p**2 = 0.
-2526, -12, -2, 0
Suppose -d**2/4 + 290*d + 1164 = 0. Calculate d.
-4, 1164
Suppose r**4/2 - 87*r**3/4 + 715*r**2/4 + 1356*r - 720 = 0. Calculate r.
-5, 1/2, 24
Suppose v**5/2 + 43*v**4/2 + 59*v**3/2 - 1003*v**2/2 - 1230*v = 0. What is v?
-41, -4, -3, 0, 5
Find l, given that 5*l**4 + 965*l**3 + 59925*l**2 + 1141875*l - 2531250 = 0.
-75, -45, 2
Let -x**3/4 - 317*x**2/4 - 32963*x/4 - 1118719/4 = 0. What is x?
-119, -79
Solve 3*a**4/5 - 6861*a**3 + 130747788*a**2/5 - 166049667888*a/5 - 166180449984/5 = 0.
-1, 3812
Determine s, given that 2*s**4/3 + 3512*s**3/3 - 14130*s**2 + 74452*s/3 + 346528/3 = 0.
-1768, -2, 7
What is z in -20*z**2 + 3545*z - 142910 = 0?
62, 461/4
Factor a**2/4 - 14943*a/2 - 29890.
(a - 29890)*(a + 4)/4
Find y, given that 9*y**3/2 - 7125*y**2 + 9494*y - 3164 = 0.
2/3, 1582
Let 5*j**2/3 - 38050*j/3 + 38045/3 = 0. Calculate j.
1, 7609
Determine c so that 64*c**5 - 116496*c**4 + 29084*c**3 + 65509*c**2 + 20019*c + 1820 = 0.
-1/4, 1, 1820
Factor -13766*n**2/9 + 27520*n/9 + 8/3.
-2*(n - 2)*(6883*n + 6)/9
Suppose -686*m**3 + 332262*m**2 - 115204*m + 5808 = 0. Calculate m.
3/49, 2/7, 484
Factor 4*a**3 + 828*a**2 - 30724*a - 31548.
4*(a - 33)*(a + 1)*(a + 239)
What is d in 2*d**4 - 128*d**3 - 8486*d**2 + 17348*d - 8736 = 0?
-42, 1, 104
Determine n, given that n**3 + 431526*n**2 + 46553240640*n - 93108207392 = 0.
-215764, 2
Suppose -154*r**4/3 - 1382*r**3/3 + 12*r**2 = 0. What is r?
-9, 0, 2/77
Factor -8*h**3 + 452*h**2 - 2092*h + 1648.
-4*(h - 4)*(h - 1)*(2*h - 103)
Determine i so that 3*i**5/4 + 2457*i**4/4 + 496881*i**3/4 - 2538717*i**2/4 + 387486*i + 1145772 = 0.
-412, -1, 3
Suppose 2*t**4/9 + 76*t**3 + 70034*t**2/9 + 219488*t + 16681088/9 = 0. Calculate t.
-152, -19
Factor -5*j**3 + 105*j**2 + 5285*j + 5175.
-5*(j - 45)*(j + 1)*(j + 23)
Factor 2*d**2 - 662*d/9 + 500.
2*(d - 9)*(9*d - 250)/9
What is y in -4*y**3 + 1077124*y**2 - 72512795520*y + 72511718400 = 0?
1, 134640
Let -15*v**3/4 - 4191*v**2 + 23493*v/4 - 3357/2 = 0. What is v?
-1119, 2/5, 1
Factor 3*f**3/8 - 159*f**2/8 - 4305*f/4 + 8379.
3*(f - 84)*(f - 7)*(f + 38)/8
Factor -3*m**4/4 - 1117539*m**3/4 - 2235069*m**2/4 - 1117533*m/4.
-3*m*(m + 1)**2*(m + 372511)/4
Determine k, given that k**3 - 10833*k**2 - 75880*k = 0.
-7, 0, 10840
Suppose 28*l**4 - 116*l**3 - 892*l**2 + 116*l + 864 = 0. Calculate l.
-27/7, -1, 1, 8
Solve -3*a**5/5 + 114*a**4/5 + 1524*a**3/5 - 29166*a**2/5 - 131553*a/5 - 20196 = 0.
-17, -3, -1, 15, 44
Factor 4*r**2/3 - 17276*r/3 + 34504.
4*(r - 4313)*(r - 6)/3
Factor 4*q**5 + 500*q**4 + 8028*q**3 + 34668*q**2.
4*q**2*(q + 9)**2*(q + 107)
Factor 45*h**2 + 1061180*h - 235820.
5*(h + 23582)*(9*h - 2)
Factor -v**2/4 + 8313*v/2 - 69105969/4.
-(v - 8313)**2/4
Solve i**2 + 4587*i + 22910 = 0.
-4582, -5
Find f such that 5*f**2 - 5105080*f + 1303092090320 = 0.
510508
Factor -3*f**3 - 48*f**2 + 333*f + 3078.
-3*(f - 9)*(f + 6)*(f + 19)
Suppose -q**5/4 - 833*q**4/2 - 692217*q**3/4 + 349029*q**2 + 521667*q = 0. What is q?
-834, -1, 0, 3
Determine i, given that -i**4 + 63*i**3 + 52*i**2 - 3372*i + 6048 = 0.
-8, 2, 6, 63
Factor 3*d**3/7 - 271974*d**2/7 + 6164154723*d/7.
