1562500 = 0. Calculate b.
-140725, -2, 2
Let p**4 - 1017*p**3 - 8184*p**2 - 16400*p = 0. What is p?
-4, 0, 1025
Suppose 4*k**3 - 21640*k**2 + 43232*k + 173056 = 0. Calculate k.
-2, 4, 5408
Factor -2*i**2 + 1162*i - 18080.
-2*(i - 565)*(i - 16)
Factor 14*c**3 - 13744*c**2 + 586382*c + 168660.
2*(c - 937)*(c - 45)*(7*c + 2)
Factor -5*h**3 + 22855*h**2 - 91360*h + 91340.
-5*(h - 4567)*(h - 2)**2
Let -19340*j**5 + 19348*j**4 + 58012*j**3 - 96724*j**2 + 38720*j - 16 = 0. Calculate j.
-2, 2/4835, 1
Factor 3*r**3 + 7071*r**2 + 77340*r - 182988.
3*(r - 2)*(r + 13)*(r + 2346)
Determine t so that 3*t**3 + 45*t**2 + 96*t - 144 = 0.
-12, -4, 1
What is c in -2*c**4/3 - 196*c**3/3 + 42854*c**2/3 + 44200*c/3 - 86072 = 0?
-203, -3, 2, 106
What is l in 3*l**5 + 169035*l**4 - 676206*l**3 - 1014270*l**2 + 676203*l + 845235 = 0?
-56349, -1, 1, 5
Determine d so that -2*d**2/7 + 305538*d/7 = 0.
0, 152769
Factor o**4/4 - 183*o**3/4 + 893*o**2/4 - 525*o/4 - 801/2.
(o - 178)*(o - 3)**2*(o + 1)/4
Factor -3*q**2/4 + 131727*q/2 - 5784000843/4.
-3*(q - 43909)**2/4
Find h such that 57*h**5/7 + 1164*h**4/7 + 309*h**3/7 - 3378*h**2/7 + 888*h/7 + 960/7 = 0.
-20, -2, -8/19, 1
Factor -r**3/2 + 543*r**2/2 - 1080*r + 1078.
-(r - 539)*(r - 2)**2/2
Suppose 4*u**4/3 - 117370*u**3/9 + 97774*u**2/9 + 254276*u/9 + 13040/3 = 0. Calculate u.
-1, -1/6, 2, 9780
Suppose -708924*v**3 - 2835688*v**2 - 2835664*v + 32 = 0. What is v?
-2, 2/177231
Let -m**4/4 + 2689*m**3/4 - 452256*m**2 + 451584*m = 0. Calculate m.
0, 1, 1344
Factor b**5 + 33*b**4 + 240*b**3 + 592*b**2 + 384*b.
b*(b + 1)*(b + 4)**2*(b + 24)
Factor -3*c**3/5 + 1893*c**2/5 - 61752*c + 634260.
-3*(c - 310)**2*(c - 11)/5
Let 5*s**2 - 96380*s = 0. Calculate s.
0, 19276
Find p, given that -20*p**3 + 204*p**2 + 4212*p + 6804 = 0.
-9, -9/5, 21
Determine w, given that -4*w**3/7 + 528*w**2 + 1588*w + 7416/7 = 0.
-2, -1, 927
Solve 432*d**2 + 2619*d/7 - 1884/7 = 0.
-4/3, 157/336
Let -8*z**4/5 - 53014*z**3/15 - 154468*z**2/15 - 105896*z/15 - 17648/15 = 0. What is z?
-2206, -2, -2/3, -1/4
What is o in 5*o**2 + 2490*o + 4960 = 0?
-496, -2
Factor 4*n**3 - 226*n**2 - 9748*n + 4930.
2*(n - 85)*(n + 29)*(2*n - 1)
Factor -3*v**2 + 15051*v - 120216.
-3*(v - 5009)*(v - 8)
Factor 5*n**4 + 5495*n**3 - 5*n**2 - 5495*n.
5*n*(n - 1)*(n + 1)*(n + 1099)
Factor -4*z**3 - 5944*z**2 - 146100*z.
-4*z*(z + 25)*(z + 1461)
Factor -a**2/4 - 17*a/2 + 22278.
-(a - 282)*(a + 316)/4
Solve 2*c**5/3 + 608*c**4/3 + 49076*c**3/3 + 141904*c**2 - 158466*c = 0.
-147, -11, 0, 1
Factor -2*n**2/5 - 106*n + 1100.
-2*(n - 10)*(n + 275)/5
Suppose 3*j**2 + 25113*j + 1024590 = 0. What is j?
-8330, -41
Suppose -p**5 - 4*p**4 + 23*p**3 + 38*p**2 - 220*p + 200 = 0. What is p?
-5, 2
Factor -g**4/4 - 49*g**3/2 - 95*g**2/4 + 97*g/2.
-g*(g - 1)*(g + 2)*(g + 97)/4
Suppose -t**4/3 - 4*t**3/3 + 22*t**2/3 + 4*t/3 - 7 = 0. Calculate t.
-7, -1, 1, 3
Let 5*y**4 - 80*y**3 - 2190*y**2 - 4120*y - 2015 = 0. What is y?
-13, -1, 31
Let -x**3/2 - 233*x**2/2 + 11020*x - 223098 = 0. What is x?
-309, 38
Factor -f**3/2 - 267*f**2/2 - 2871*f - 15860.
-(f + 10)*(f + 13)*(f + 244)/2
Let 5*v**5/2 - 1255*v**4 - 5135*v**3/2 + 23770*v**2 + 85530*v + 75600 = 0. What is v?
-3, -2, 5, 504
Factor n**2/2 - 6875*n/2 - 3438.
(n - 6876)*(n + 1)/2
Solve 3*q**5 + 2733*q**4 - 5475*q**3 + 2739*q**2 = 0.
-913, 0, 1
Find n such that -5*n**4 + 10*n**3 + 175*n**2 - 180*n - 900 = 0.
-5, -2, 3, 6
Solve 2808*q**4 + 66546*q**3 + 45498*q**2 + 8566*q + 230 = 0.
-23, -1/3, -5/156
Determine m, given that 3*m**5/5 + 6099*m**4/5 + 3108954*m**3/5 + 9290298*m**2/5 + 1855623*m + 618135 = 0.
-1015, -1
Solve 2*q**2 + 6878*q + 13748 = 0.
-3437, -2
Solve 2*k**4 + 71420*k**3 - 71422*k**2 = 0 for k.
-35711, 0, 1
What is q in 3*q**5 + 60*q**4 + 267*q**3 - 1014*q**2 - 8604*q - 11880 = 0?
-11, -6, -2, 5
Suppose 16*y**2/3 - 286*y - 1210/3 = 0. Calculate y.
-11/8, 55
Solve w**2/2 - 5099*w/2 - 149553 = 0.
-58, 5157
Factor 4*g**5 - 684*g**4 - 24*g**3 + 4072*g**2 + 5460*g + 2052.
4*(g - 171)*(g - 3)*(g + 1)**3
Let -4*u**5/3 - 902*u**4/9 + 3572*u**3/9 - 4864*u**2/9 + 2680*u/9 - 158/3 = 0. What is u?
-79, 1/3, 1, 3/2
Find y, given that 134*y**5/5 - 1339*y**4/5 - 672*y**3 + 263*y**2 + 3226*y/5 + 24/5 = 0.
-2, -1, -1/134, 1, 12
Solve -3*a**2 + 273069*a - 1911336 = 0 for a.
7, 91016
Determine v, given that 100*v**5/3 + 8360*v**4/3 + 237604*v**3/3 + 813728*v**2 + 1400832*v + 663552 = 0.
-144/5, -24, -1
Factor -4*z**3 + 424*z**2 + 14324*z - 160344.
-4*(z - 131)*(z - 9)*(z + 34)
Factor -2*p**2/7 + 232730*p/7 + 465468/7.
-2*(p - 116367)*(p + 2)/7
What is y in 2*y**3 + 328*y**2 + 650*y + 324 = 0?
-162, -1
Factor -2*g**3 + 298*g**2 + 1540*g.
-2*g*(g - 154)*(g + 5)
Let 8*o**4 + 1755*o**3 - 13943*o**2 - 21819*o - 6129 = 0. What is o?
-227, -1, -3/8, 9
Find l such that 2*l**5/5 - 36*l**4/5 - 1298*l**3/5 + 36*l**2/5 + 1296*l/5 = 0.
-18, -1, 0, 1, 36
Determine s so that 2*s**3/15 + 2684*s**2/5 - 169898*s/15 + 102524/5 = 0.
-4047, 2, 19
Solve -i**2 + 28*i + 1325 = 0 for i.
-25, 53
Let 1146*c**4/5 - 20619*c**3/5 + 51408*c**2/5 + 81*c = 0. What is c?
-3/382, 0, 3, 15
Suppose -4*g**2 - 99676*g - 99672 = 0. Calculate g.
-24918, -1
Factor -m**4 - 121812*m**3 - 365430*m**2 - 365428*m - 121809.
-(m + 1)**3*(m + 121809)
Let 2*c**5/7 - 276*c**4/7 + 1084*c**3/7 - 1616*c**2/7 + 1074*c/7 - 268/7 = 0. What is c?
1, 134
Factor 5*a**2 - 1385*a - 297490.
5*(a - 419)*(a + 142)
Let -2*w**4 - 244*w**3 - 6744*w**2 + 14228*w - 7238 = 0. What is w?
-77, -47, 1
Factor 5*n**2 + 17000*n + 14450000.
5*(n + 1700)**2
What is k in -3*k**2/8 + 1929*k/4 + 3861/8 = 0?
-1, 1287
Find n such that -2*n**3/5 + 10348*n**2/5 - 2550744*n - 1652310576/5 = 0.
-118, 2646
Let 25*d**5 - 17330*d**4 + 123715*d**3 - 160850*d**2 - 247040*d + 54880 = 0. Calculate d.
-1, 1/5, 4, 686
Factor -2*l**2 - 1532*l - 1530.
-2*(l + 1)*(l + 765)
Solve -o**5/3 + 464*o**4/3 - 51461*o**3/3 - 546554*o**2/3 - 594080*o - 599136 = 0 for o.
-4, -2, 237
Solve 8*u**5 - 44*u**4 - 2500*u**3 - 9740*u**2 + 19052*u - 6776 = 0 for u.
-11, -7, 1/2, 1, 22
Determine q so that 5*q**2 - 7617340*q + 2901193433780 = 0.
761734
Determine w, given that 358*w**2/5 + 724*w/5 + 16/5 = 0.
-2, -4/179
Determine y so that -12368763505*y**5/3 - 773266403*y**4/3 + 701204014*y**3 + 71824592*y**2/3 + 813952*y/3 + 1024 = 0.
-3/7, -8/707, 2/5
Determine i so that 2*i**4/7 - 8068*i**3/7 - 15032*i**2 + 8068*i/7 + 105222/7 = 0.
-13, -1, 1, 4047
Determine s, given that -2*s**2/3 + 614*s - 23608/3 = 0.
13, 908
Determine t so that 2*t**2/11 + 16152*t/11 - 64640/11 = 0.
-8080, 4
Suppose 3*p**3 + 16344*p**2 + 553095*p + 4693938 = 0. Calculate p.
-5414, -17
Find l such that l**2 + 18373*l - 220620 = 0.
-18385, 12
Let 8450*d**2/9 - 1606280*d/9 + 76335368/9 = 0. What is d?
6178/65
Solve -4*l**5 - 268*l**4 - 5512*l**3 - 33656*l**2 - 44660*l + 84100 = 0.
-29, -5, 1
Solve 47089*y**3 - 90272*y**2 - 7731*y - 162 = 0 for y.
-9/217, 2
Solve c**5 + 11*c**4 - 1369*c**3 - 29219*c**2 - 87504*c + 118080 = 0.
-24, -5, 1, 41
Factor 2*v**2/13 - 66070*v/13.
2*v*(v - 33035)/13
Factor v**2/4 - 126571*v/2 + 16020218041/4.
(v - 126571)**2/4
Solve -6*t**5 + 117*t**4 + 13062*t**3 + 19377*t**2 + 6438*t = 0.
-37, -1, -1/2, 0, 58
Solve -3*n**4/7 + 684*n**3/7 - 56682*n**2/7 + 1993116*n/7 - 24361803/7 = 0 for n.
27, 67
Suppose 2*j**3/17 + 622*j**2/17 - 3794*j/17 + 3170/17 = 0. What is j?
-317, 1, 5
Let -p**4/4 - 112157*p**3/2 - 12578744013*p**2/4 + 12579416963*p - 12579641281 = 0. What is p?
-112159, 2
Solve 4*d**2 + 1844*d/5 - 1064 = 0 for d.
-95, 14/5
Solve 2*z**3/19 + 1104874*z**2/19 + 152593871920*z/19 + 152592767048/19 = 0.
-276218, -1
Suppose 3*m**5/5 + 48*m**4 - 21*m**3/5 - 1698*m**2/5 - 288*m = 0. What is m?
-80, -2, -1, 0, 3
Factor 3*q**3/5 - 258*q**2/5 - 105*q - 264/5.
3*(q - 88)*(q + 1)**2/5
Let 5*f**4 - 525*f**3 + 6130*f**2 + 118800*f = 0. Calculate f.
-10, 0, 27, 88
Suppose -2*p**4 + 786*p**3 - 41052*p**2 - 173704*p - 176880 = 0. Calculate p.
-2, 67, 330
Suppose -102*z**4 - 63040*z**3 - 9741534*z**2 - 381924*z = 0. Calculate z.
-309, -2/51, 0
Find d, given that -75*d**3/4 - 39*d**2 + 69*d + 144 = 0.
-2, 48/25
Factor 2*x**2/3 + 42880*x/3 - 85768/3.
2*(x - 2)*(x + 21442)/3
Let 4*u**5 - 96*u**4 - 672*u**3 - 1400*u**2 - 1188*u - 360 = 0. Calculate u.
-3, -1, 30
Factor -60*v**3 - 4612*v**2 + 35896*