Determine j, given that -3*j**2 - 42708*j + 85428 = 0.
-14238, 2
Let -4*q**5 - 7920*q**4 - 7892*q**3 + 47512*q**2 + 31632*q - 63328 = 0. What is q?
-1979, -2, 1, 2
Find c, given that 4900*c**5 - 20804*c**4 + 24460*c**3 - 4988*c**2 + 160*c + 16 = 0.
-1/25, 1/7, 2
Determine t, given that -t**5/2 - 201*t**4 + 1637*t**3 - 1234*t**2 - 3273*t/2 + 1435 = 0.
-410, -1, 1, 7
Suppose -p**4 - 370*p**3 - 50037*p**2 - 2925220*p - 62504836 = 0. Calculate p.
-118, -67
Factor 3*w**3/5 - 7686*w**2/5 + 949887*w + 224110788/5.
3*(w - 1303)**2*(w + 44)/5
Factor -3*z**2 + 594903*z/4 - 148725/4.
-3*(z - 49575)*(4*z - 1)/4
Factor -j**2/4 - 247431*j/2 - 61222099761/4.
-(j + 247431)**2/4
Factor -2*q**4 + 263128*q**3 - 8654543048*q**2.
-2*q**2*(q - 65782)**2
Determine o, given that 2*o**4/11 + 728*o**3 + 47994*o**2/11 + 71972*o/11 + 31984/11 = 0.
-3998, -4, -1
Factor o**3/2 + 163*o**2 - 27187*o/2 + 13430.
(o - 68)*(o - 1)*(o + 395)/2
Determine b so that -3*b**3 + 144435*b**2 + 433332*b = 0.
-3, 0, 48148
Factor v**5 + 427*v**4 + 2948*v**3 + 3344*v**2 - 6720*v.
v*(v - 1)*(v + 4)**2*(v + 420)
Find n, given that 4*n**2/3 + 56*n/3 - 380/3 = 0.
-19, 5
Factor 5*x**2 + 730*x + 26145.
5*(x + 63)*(x + 83)
Determine m, given that 5*m**4 - 2795*m**3 + 400260*m**2 - 2699280*m + 4570560 = 0.
3, 4, 276
Suppose 296*k**3/15 + 1186*k**2/15 + 1192*k/15 + 8/15 = 0. What is k?
-2, -1/148
Determine m so that 2*m**4/11 - 6*m**3/11 - 6*m**2/11 + 14*m/11 + 12/11 = 0.
-1, 2, 3
What is z in -18*z**5/5 - 2841*z**4/5 - 111432*z**3/5 - 1032621*z**2/5 - 538956*z + 478332/5 = 0?
-103, -43, -6, 1/6
Solve -2*k**5/7 + 74*k**4/7 - 696*k**3/7 + 2560*k**2/7 - 4096*k/7 + 2400/7 = 0 for k.
2, 6, 25
Suppose 4*m**3 - 97148*m**2 + 776928*m = 0. Calculate m.
0, 8, 24279
Factor 2*d**2 - 4257920*d + 2266235340800.
2*(d - 1064480)**2
Factor -b**2/2 - 989*b/2 + 6006.
-(b - 12)*(b + 1001)/2
Let -2*r**2 - 75418*r + 75420 = 0. Calculate r.
-37710, 1
Solve 2*z**2 - 448*z - 51744 = 0 for z.
-84, 308
Suppose -2*w**3 - 110*w**2 + 12000*w - 207000 = 0. Calculate w.
-115, 30
Determine y so that -15*y**3 - 2470*y**2 + 5835*y - 1670 = 0.
-167, 1/3, 2
Factor -5*i**2 + 42145*i + 295260.
-5*(i - 8436)*(i + 7)
What is q in -2*q**3/3 - 9616*q**2/3 - 11577640*q/3 - 46156832/3 = 0?
-2402, -4
Determine m, given that 5*m**2 + 556480*m - 1669485 = 0.
-111299, 3
Factor 4*c**4 - 172*c**3 + 332*c**2 - 164*c.
4*c*(c - 41)*(c - 1)**2
Suppose -4*z**3 - 1880*z**2 - 215152*z + 1359456 = 0. What is z?
-238, 6
Factor -5*q**2 + 119890*q + 119895.
-5*(q - 23979)*(q + 1)
Find x, given that x**2 - 5094*x + 5093 = 0.
1, 5093
Factor -30053*h**2/7 - 360637*h/7 - 12/7.
-(h + 12)*(30053*h + 1)/7
Factor 2*n**4 + 6244*n**3 + 4879680*n**2 + 9734400*n.
2*n*(n + 2)*(n + 1560)**2
Solve 2*m**5/3 + 580*m**4/7 - 1034*m**3/7 - 9764*m**2/21 + 2696*m/7 + 144 = 0 for m.
-126, -2, -2/7, 1, 3
Factor u**3 + 7550*u**2 - 410616*u.
u*(u - 54)*(u + 7604)
Factor 3*d**4 + 78*d**3 + 276*d**2 - 798*d + 441.
3*(d - 1)**2*(d + 7)*(d + 21)
Factor z**2/5 + 3226*z + 32256/5.
(z + 2)*(z + 16128)/5
Solve 2*c**3/9 - 12*c**2 - 8714*c/9 + 980 = 0 for c.
-45, 1, 98
Factor 2*h**3/3 + 222*h**2 - 8*h/3 - 888.
2*(h - 2)*(h + 2)*(h + 333)/3
Suppose -r**3/6 + 11*r**2/3 + 29639*r/6 - 366368 = 0. Calculate r.
-192, 107
Factor -2*n**5 - 90*n**4 - 1212*n**3 - 1856*n**2 + 52224*n + 147456.
-2*(n - 6)*(n + 3)*(n + 16)**3
Solve -2*d**4/3 - 428*d**3/3 - 1610*d**2/3 + 5000*d + 21000 = 0 for d.
-210, -5, 6
Let v**5/5 + 34*v**4/5 + 227*v**3/5 - 934*v**2/5 + 672*v/5 = 0. What is v?
-21, -16, 0, 1, 2
Suppose -a**3/4 + 4425*a**2/4 - 4892943*a/4 - 4897369/4 = 0. What is a?
-1, 2213
Determine j, given that 5*j**2 + 4185*j - 21050 = 0.
-842, 5
Solve -6*u**2 + 74355*u + 37179 = 0.
-1/2, 12393
Determine g, given that -2*g**3/3 + 1198*g**2 - 21502*g/3 + 5970 = 0.
1, 5, 1791
Determine r, given that 2*r**3/5 - 8*r**2 + 74*r/5 - 36/5 = 0.
1, 18
Factor 2*k**2/5 + 90468*k/5.
2*k*(k + 45234)/5
Let -3*u**5/8 - 87*u**4/4 - 315*u**3/2 + 1527*u**2/4 - 1617*u/8 = 0. Calculate u.
-49, -11, 0, 1
Solve 3*u**4/8 - 3759*u**3/8 + 5589*u**2/4 + 11280*u - 37500 = 0 for u.
-5, 4, 1250
Solve 4*h**3/3 - 2612*h**2/3 - 4*h/3 + 2612/3 = 0 for h.
-1, 1, 653
Factor v**4 - 9*v**3 - 531*v**2 - 3091*v + 3630.
(v - 30)*(v - 1)*(v + 11)**2
Solve 2*k**5 - 22540*k**4 + 157688*k**3 - 67516*k**2 - 698266*k - 450520 = 0.
-1, 4, 5, 11263
Find c such that 4*c**3 + 826488*c**2 - 3306000*c + 3306016 = 0.
-206626, 2
Factor -d**2 - 724*d + 17952.
-(d - 24)*(d + 748)
Suppose 4*d**4 + 5640*d**3 + 1988096*d**2 - 5640*d - 1988100 = 0. Calculate d.
-705, -1, 1
Factor 3*x**2 - 1665*x.
3*x*(x - 555)
Factor -5*z**3 - 3920*z**2 - 33445*z + 1108250.
-5*(z - 13)*(z + 22)*(z + 775)
Factor -5*x**3 + 8815*x**2 - 3889615*x + 3880805.
-5*(x - 881)**2*(x - 1)
Determine s, given that 2*s**4 - 22*s**3 - 980*s**2 - 5000*s + 6000 = 0.
-10, 1, 30
Solve -h**4/2 + 29612*h**3 - 118445*h**2/2 + 29611*h = 0.
0, 1, 59222
Determine x, given that 5*x**3 - 1695*x**2 + 113775*x + 5304875 = 0.
-31, 185
Suppose -25*s**4 + 930*s**3 - 1963*s**2 + 1338*s - 280 = 0. What is s?
2/5, 4/5, 1, 35
Factor -v**5 - 2701*v**4 - 13486*v**3 - 16172*v**2 + 10792*v + 21568.
-(v - 1)*(v + 2)**3*(v + 2696)
Suppose 21*q**4/8 - 112197*q**3/8 + 150123213*q**2/8 - 705072399*q/8 - 106853415/4 = 0. Calculate q.
-2/7, 5, 2669
Find q such that -q**3/5 - 1939*q**2/5 + 22997*q - 1679477/5 = 0.
-1997, 29
Factor 3*g**4 - 222*g**3 + 4527*g**2 - 15540*g + 14700.
3*(g - 35)**2*(g - 2)**2
Determine c so that -4*c**4/5 - 53*c**3/5 + 43*c**2/5 + 14*c/5 = 0.
-14, -1/4, 0, 1
Let 2*c**3 - 14*c**2 - 616*c - 2760 = 0. Calculate c.
-10, -6, 23
Factor 2*d**2 + 701564*d - 701566.
2*(d - 1)*(d + 350783)
Factor 3*y**2 - 202458*y + 202455.
3*(y - 67485)*(y - 1)
What is b in 2*b**4/3 - 682*b**3/3 - 4970*b**2 - 105742*b/3 - 248332/3 = 0?
-7, 362
Factor -2*x**5 - 810*x**4 - 86388*x**3 - 3584504*x**2 - 51977424*x.
-2*x*(x + 46)**3*(x + 267)
Factor 2*i**2/3 + 1852*i/15 + 6928/5.
2*(i + 12)*(5*i + 866)/15
Suppose z**5/7 - 72524*z**4/7 + 217563*z**3/7 + 4*z**2/7 - 290084*z/7 = 0. Calculate z.
-1, 0, 2, 72521
Factor 3*a**2 - 6912*a - 13836.
3*(a - 2306)*(a + 2)
Let 2*g**3/5 + 174*g**2 - 14306*g/5 + 56826/5 = 0. What is g?
-451, 7, 9
Solve -230*o**2 + 20464*o + 534 = 0 for o.
-3/115, 89
Factor -3*h**3 + 147*h**2 + 1926*h + 3240.
-3*(h - 60)*(h + 2)*(h + 9)
Suppose -5*p**2 - 201840*p - 2036969280 = 0. Calculate p.
-20184
Solve -j**3 - 1846*j**2 + 26040*j = 0 for j.
-1860, 0, 14
Suppose 2*u**3/7 - 2904*u**2/7 - 17802*u - 188244 = 0. Calculate u.
-21, 1494
Factor -h**3/6 - 103*h**2/6 - 199*h/6 + 101/2.
-(h - 1)*(h + 3)*(h + 101)/6
Determine j, given that 3*j**5 + 102*j**4 + 528*j**3 - 5142*j**2 + 4365*j + 9936 = 0.
-23, -16, -1, 3
Let -2*f**2/5 - 180*f + 2790 = 0. What is f?
-465, 15
Find f such that f**2/6 + 195265*f/3 + 38128420225/6 = 0.
-195265
Determine f, given that -5*f**5 + 9085*f**4 - 36290*f**3 + 54410*f**2 - 36265*f + 9065 = 0.
1, 1813
Solve 2*b**5/3 + 180*b**4 + 14950*b**3 + 1058000*b**2/3 = 0.
-115, -40, 0
Factor 2563396900*y**2/7 - 607560*y/7 + 36/7.
4*(25315*y - 3)**2/7
Factor -5*m**4 - 3855*m**3 + 5*m**2 + 3855*m.
-5*m*(m - 1)*(m + 1)*(m + 771)
Determine v so that v**4 - 70*v**3 + 1536*v**2 - 9440*v - 25600 = 0.
-2, 20, 32
What is r in -14*r**5 - 6*r**4 + 146*r**3 + 54*r**2 - 180*r = 0?
-3, -10/7, 0, 1, 3
Determine s, given that 2*s**2 - 532*s - 10830 = 0.
-19, 285
Solve 4*m**3 - 14984*m**2 + 74764*m + 209496 = 0.
-2, 7, 3741
Determine i, given that 3*i**3 + 378*i**2 + 5832*i = 0.
-108, -18, 0
Factor 12*z**3/5 + 1220716*z**2/5 + 406904*z/5.
4*z*(z + 101726)*(3*z + 1)/5
Let i**2/4 - 1231*i/4 - 6205/2 = 0. What is i?
-10, 1241
Solve 4*x**5 + 740*x**4 - 26784*x**3 = 0 for x.
-216, 0, 31
Factor -2*n**2 - 501632*n.
-2*n*(n + 250816)
What is b in -b**5/2 + 413*b**4/2 - 1225*b**3 + 1625*b**2 + 2451*b/2 - 3663/2 = 0?
-1, 1, 3, 407
Find b, given that -b**2/8 - 91*b/8 - 507/4 = 0.
-78, -13
Factor -4*m**3 - 16560*m**2 + 66288*m - 66304.
-4*(m - 2)**2*(m + 4144)
Solve 3*y**2/2 + 2517*y/2 + 187017 = 0 for y.
-646, -193
Factor -u**3/5 + 17812*u**2/5 - 35621*u/5 + 3562.
-(u - 17810)*(u - 1)**2/5
Factor -4*q**3/5 - 1341*q**2/5 + 1009*q/5 + 336/5.
-(q - 1)*(q + 336)*(4*q + 1)/5
Let 10*u**4 + 6*u**3 - 14*u**2 - 6*u + 4 = 0. Calculate u.
-1, 2/5, 1