47)*(b + 1)/4
Factor -5*y**3 - 1485*y**2 - 99975*y - 1950695.
-5*(y + 43)**2*(y + 211)
Factor -2*q**3 - 451338*q**2 + 451340*q.
-2*q*(q - 1)*(q + 225670)
Determine j so that -470596*j**4 - 5652640*j**3 + 6051876*j**2 + 71152*j + 208 = 0.
-13, -2/343, 1
Find y, given that 864*y**5 + 137304*y**4 + 782643*y**3/2 - 581295*y**2/2 - 1579341*y - 1033812 = 0.
-156, -47/24, -1, 2
Factor 2*o**2/5 + 51428*o/5 + 330604898/5.
2*(o + 12857)**2/5
Determine k so that 3*k**2/4 + 5100*k - 51075 = 0.
-6810, 10
Factor 4*q**3 - 312*q**2 - 4324*q + 36312.
4*(q - 89)*(q - 6)*(q + 17)
Find g such that g**3/7 + 13*g**2/7 - 4441*g/7 - 4453/7 = 0.
-73, -1, 61
Suppose 2*m**2 - 4019*m + 36009 = 0. Calculate m.
9, 4001/2
Determine p, given that -11*p**2 + 299077*p + 54378 = 0.
-2/11, 27189
Find p, given that -2*p**3 + 3692*p**2 - 40390*p + 36700 = 0.
1, 10, 1835
Suppose 195*t**5 + 17170*t**4 + 491500*t**3 + 4533560*t**2 + 231200*t = 0. Calculate t.
-34, -20, -2/39, 0
Solve 2*l**4 - 6076*l**3 + 24270*l**2 + 6076*l - 24272 = 0.
-1, 1, 4, 3034
Let -3*n**4/2 - 21504*n**3 + 43023*n**2/2 + 86016*n - 86022 = 0. Calculate n.
-14337, -2, 1, 2
Let -6*f**3/11 - 184298*f**2/11 - 1415270416*f/11 - 471736328/11 = 0. Calculate f.
-15358, -1/3
Suppose -2*z**3/17 - 15030*z**2/17 - 30054*z/17 - 15026/17 = 0. What is z?
-7513, -1
Solve l**5/6 + 1769*l**4/6 + 1767*l**3/2 + 5299*l**2/6 + 883*l/3 = 0.
-1766, -1, 0
Find y such that -y**4 - 121*y**3 + 500*y**2 = 0.
-125, 0, 4
Factor 3*z**2 - 225*z + 1242.
3*(z - 69)*(z - 6)
Determine c so that 3*c**3 - 19857*c**2 - 99360*c = 0.
-5, 0, 6624
Factor 3*l**3 + 3430599*l**2 + 980749076265*l - 980752506867.
3*(l - 1)*(l + 571767)**2
Factor y**2/5 + 1147178*y/5 - 1147179/5.
(y - 1)*(y + 1147179)/5
Suppose b**5/3 + 53*b**4/9 + 184*b**3/9 - 428*b**2/9 - 352*b/9 = 0. Calculate b.
-11, -8, -2/3, 0, 2
Solve -z**3 - 483*z**2 + 1456*z - 972 = 0.
-486, 1, 2
Determine b, given that -4*b**2 + 10840*b - 75684 = 0.
7, 2703
Factor 2*v**2 + 332*v + 13778.
2*(v + 83)**2
Let -3*k**4 - 1593*k**3 - 1575*k**2 + 7941*k - 4770 = 0. Calculate k.
-530, -3, 1
Suppose -127*y**2/3 - 3472*y - 164/3 = 0. What is y?
-82, -2/127
Factor h**2 + 865*h - 16796.
(h - 19)*(h + 884)
Determine d so that -3*d**3 + 51024*d**2 + 204132*d + 204144 = 0.
-2, 17012
Determine r so that 2*r**5/5 + 26*r**4/5 + 112*r**3/5 + 32*r**2 = 0.
-5, -4, 0
Factor 162*x**4 + 909864*x**3 + 1277752328*x**2 + 567755136*x + 63078912.
2*(x + 2808)**2*(9*x + 2)**2
Solve 2*v**4/3 - 100*v**3/3 + 320*v**2 + 100*v/3 - 962/3 = 0.
-1, 1, 13, 37
Solve 3*j**5/7 + 1212*j**4/7 - 8598*j**3/7 + 13548*j**2/7 - 6165*j/7 = 0 for j.
-411, 0, 1, 5
Factor -158*b**2/7 - 586*b + 156/7.
-2*(b + 26)*(79*b - 3)/7
Suppose 3*u**4 - 147*u**3 - 26550*u**2 - 390432*u - 1511808 = 0. Calculate u.
-62, -8, 127
What is d in 182*d**3/11 + 4764*d**2/11 + 5382*d/11 + 800/11 = 0?
-25, -1, -16/91
Factor -z**3/3 + 107*z**2/3 - 2186*z/3 + 2080/3.
-(z - 80)*(z - 26)*(z - 1)/3
Factor -r**3/6 + 87*r**2/2 - 1535*r/6 + 425/2.
-(r - 255)*(r - 5)*(r - 1)/6
Suppose -4*i**3 - 7908*i**2 + 55584*i + 63488 = 0. Calculate i.
-1984, -1, 8
Factor 4*d**4 - 400*d**3 + 13493*d**2 - 173327*d + 711480.
(d - 15)*(d - 8)*(2*d - 77)**2
Determine f so that 2*f**2/7 - 348714*f/7 - 348716/7 = 0.
-1, 174358
What is a in -5*a**3 + 50*a**2 + 6565*a + 6510 = 0?
-31, -1, 42
Factor -2*t**3/3 - 4252*t**2/3 - 8498*t/3 - 1416.
-2*(t + 1)**2*(t + 2124)/3
Find l such that 5*l**2 + 13710*l + 13705 = 0.
-2741, -1
Solve -v**5/3 - 7588*v**4/3 + 113999*v**3/3 - 349834*v**2/3 - 729760*v/3 + 973184/3 = 0.
-7603, -2, 1, 8
Find h such that 44*h**5 + 8708*h**4 + 498916*h**3 + 6504412*h**2 + 5463360*h - 550800 = 0.
-90, -17, -1, 1/11
Determine n, given that 18*n**5/23 - 338*n**4/23 + 2138*n**3/23 - 5502*n**2/23 + 4500*n/23 + 1296/23 = 0.
-2/9, 3, 4, 9
Solve 4*m**2/5 + 3552*m/5 + 320688/5 = 0.
-786, -102
What is z in -z**5/6 - 134*z**4/3 - 5627*z**3/2 - 68775*z**2 - 679050*z - 2308500 = 0?
-190, -30, -9
Determine g, given that -3*g**3/2 + 1695*g**2 + 13599*g/2 + 5103 = 0.
-3, -1, 1134
Factor x**2/4 - 639*x/4 + 13910.
(x - 535)*(x - 104)/4
Factor 4*i**2 - 1316*i - 23528.
4*(i - 346)*(i + 17)
Determine a, given that a**3 + 19964*a**2 - 259689*a + 239724 = 0.
-19977, 1, 12
Suppose f**2 + 111568*f + 3111854656 = 0. Calculate f.
-55784
Factor s**5 + 112*s**4 + 2494*s**3 - 37868*s**2 - 2135*s + 729316.
(s - 7)**2*(s + 4)*(s + 61)**2
Factor -5*b**2 + 1341760*b - 90015994880.
-5*(b - 134176)**2
Factor 3*v**4/4 + 13*v**3/4 - 13*v**2 + 7*v.
v*(v - 2)*(v + 7)*(3*v - 2)/4
Determine x, given that -12*x**5 - 1148*x**4/5 + 6508*x**3/5 + 27948*x**2/5 + 22928*x/5 + 2576/5 = 0.
-23, -2, -1, -2/15, 7
Determine l, given that 1500*l**4 + 1492*l**3 - 45008*l**2 + 240*l = 0.
-6, 0, 2/375, 5
Solve -2*m**2 + 284*m/3 + 10082/3 = 0.
-71/3, 71
Factor -p**3/9 - 1106*p**2/9 + 15695*p/9 + 5600/3.
-(p - 15)*(p + 1)*(p + 1120)/9
Determine v so that v**2/4 - 399*v/4 - 9720 = 0.
-81, 480
Find t such that 4*t**2 - 371*t/3 + 359/3 = 0.
1, 359/12
Factor -q**2/5 + 3868*q/5 + 3873.
-(q - 3873)*(q + 5)/5
Determine m, given that 5*m**3 - 4495*m**2 - 27105*m - 40725 = 0.
-3, 905
Let m**3 - 159*m**2 + 6840*m - 89100 = 0. What is m?
30, 99
Suppose -2*u**3/5 + 10182*u**2/5 - 132052*u/5 + 121872/5 = 0. What is u?
1, 12, 5078
Factor -l**2/5 + 4477*l/5 - 10716.
-(l - 4465)*(l - 12)/5
Suppose -d**5/5 - 2650*d**4 - 58369929*d**3/5 - 84821116356*d**2/5 + 2949959654352*d/5 - 2865080154816/5 = 0. Calculate d.
-4428, 1, 33
Factor 4*h**2/9 - 5408*h/9 - 374540/3.
4*(h - 1535)*(h + 183)/9
Determine z, given that z**2 + 156*z - 37180 = 0.
-286, 130
Factor 4*x**4/7 + 93376*x**3/7.
4*x**3*(x + 23344)/7
Let -c**2/2 - 795*c/2 - 12573 = 0. Calculate c.
-762, -33
Factor -3*d**2 + 14541*d - 101640.
-3*(d - 4840)*(d - 7)
Let 3*l**3 + 3147*l**2 + 817377*l - 4165935 = 0. What is l?
-527, 5
Suppose -121*l**2/4 + 320628*l - 849605904 = 0. What is l?
58296/11
Suppose 5*p**3 - 1165*p**2 + 7970*p - 13560 = 0. Calculate p.
3, 4, 226
Factor 5*o**2 + 282500*o + 3990312500.
5*(o + 28250)**2
Factor 2*q**4 - 4*q**3 - 1080*q**2 - 12636*q - 42282.
2*(q - 29)*(q + 9)**3
Find f, given that -f**2 + 407*f + 36708 = 0.
-76, 483
Suppose -4*m**5 + 1864*m**4 - 211396*m**3 - 1365056*m**2 + 3356864*m - 1782272 = 0. What is m?
-8, 1, 236
Solve -9*v**5 + 3211*v**4/3 - 46094*v**3/3 - 17668*v**2 - 1224*v = 0 for v.
-1, -2/27, 0, 18, 102
Factor k**5/2 - 129*k**4/2 + 5547*k**3/2 - 79507*k**2/2.
k**2*(k - 43)**3/2
Suppose -3*o**2 + 822*o - 44775 = 0. What is o?
75, 199
Factor -4*s**5 + 112*s**4 - 72*s**3 - 928*s**2 - 1172*s - 432.
-4*(s - 27)*(s - 4)*(s + 1)**3
Determine i, given that 15*i**5 + 6729*i**4 + 729336*i**3 - 5682732*i**2 + 9953568*i - 3119040 = 0.
-228, 2/5, 2, 5
Factor 5*b**3 + 380*b**2 + 6815*b - 7200.
5*(b - 1)*(b + 32)*(b + 45)
Let 5*z**2 + 362820*z + 362815 = 0. What is z?
-72563, -1
Factor 2*l**2 + 7260*l + 165922.
2*(l + 23)*(l + 3607)
Factor 3*i**2 + 3093*i - 742896.
3*(i - 201)*(i + 1232)
Solve 3*w**4/5 + 258990*w**3 + 139737406971*w**2/5 - 167691881160*w + 1257706590768/5 = 0.
-215828, 3
Find r such that r**3 - 52*r**2 - 859*r + 910 = 0.
-14, 1, 65
Factor 25*l**3/4 - 3995*l**2 - 3199*l - 640.
(l - 640)*(5*l + 2)**2/4
Let 3*j**5 - 2955*j**4 - 2973*j**3 + 14799*j**2 - 8874*j = 0. What is j?
-3, 0, 1, 986
Suppose 4*u**5/7 + 9598*u**4/7 + 62278*u**3/7 + 143636*u**2/7 + 134024*u/7 + 38288/7 = 0. What is u?
-2393, -2, -1/2
What is f in f**2/4 + 3039*f = 0?
-12156, 0
Let 4*z**2 + 123080*z - 984896 = 0. What is z?
-30778, 8
Find l, given that -2*l**5/5 + 14316*l**4/5 + 57286*l**3/5 + 71616*l**2/5 + 28648*l/5 = 0.
-2, -1, 0, 7162
Solve d**5/5 - 298*d**4/5 + 13419*d**3/5 - 13122*d**2/5 = 0.
0, 1, 54, 243
Factor o**2 + 155552*o + 6049106176.
(o + 77776)**2
Solve -t**3/5 + 17994*t**2/5 - 16196397*t + 64728020 = 0.
4, 8995
Suppose 2*u**2/5 - 15548*u/5 + 263738/5 = 0. Calculate u.
17, 7757
Factor -b**3/3 - 211*b**2/3 + 214*b/3 + 424/3.
-(b - 2)*(b + 1)*(b + 212)/3
Solve 765*p**4/2 - 24189*p**3/2 + 57237*p**2/2 + 25509*p/2 - 261 = 0 for p.
-2/5, 1/51, 3, 29
Solve -2*d**5/17 + 162*d**4/17 - 316*d**3/17 - 4*d**2/17 + 318*d/17 - 158/17 = 0.
-1, 1, 79
Factor -y**4/5 + 308*y**3 - 93230*y**2 - 19519500*y - 803278125.
-(y - 845)**2*(y + 75)**2/5
Factor 2*o**3/15 - 598*o**2/5 + 5356*o/15 + 2384/5.
