 4
Factor -4*a**2 - 6464*a - 1705152.
-4*(a + 332)*(a + 1284)
Suppose -7*u**2 + 267*u - 38 = 0. What is u?
1/7, 38
Factor 5*o**2/3 - 1795*o/3 - 3610/3.
5*(o - 361)*(o + 2)/3
Solve 2*p**4 - 618*p**3 + 49236*p**2 - 227392*p - 277248 = 0 for p.
-1, 6, 152
Factor -3*u**2/4 - 65331*u.
-3*u*(u + 87108)/4
Solve -k**2/7 + 1837*k/7 + 1838/7 = 0.
-1, 1838
Factor -3*i**2/5 - 25407*i/5 + 76248/5.
-3*(i - 3)*(i + 8472)/5
Factor -45070*k**3/7 + 180272*k**2/7 + 32*k/7.
-2*k*(k - 4)*(22535*k + 4)/7
Determine i, given that -24*i**5/7 + 129*i**4 - 3021*i**3/7 + 306*i**2 = 0.
0, 1, 21/8, 34
Determine y, given that -5*y**4 - 755*y**3 - 12270*y**2 - 38900*y + 133000 = 0.
-133, -10, 2
Factor 6*c**4/5 + 2418*c**3/5 - 23382*c**2 + 358830*c - 1814400.
6*(c - 15)**3*(c + 448)/5
Find f, given that f**2 + 98528*f = 0.
-98528, 0
Factor 69*b**2 + 439467*b + 38214.
3*(b + 6369)*(23*b + 2)
Suppose -12*s**4 + 351*s**3 - 2763*s**2 + 3009*s - 585 = 0. What is s?
1/4, 1, 13, 15
Suppose -63*x**2 - 18147*x - 18942 = 0. Calculate x.
-287, -22/21
Let 5*a**4 - 10*a**3 - 65*a**2 + 70*a + 120 = 0. What is a?
-3, -1, 2, 4
Determine l so that 4*l**4 - 1080*l**3 - 29504*l**2 + 1080*l + 29500 = 0.
-25, -1, 1, 295
Solve -2296*n**3 - 96426*n**2/7 - 144612*n/7 + 54/7 = 0 for n.
-3, 3/8036
What is h in 2*h**5 - 32*h**4 + 10*h**3 + 308*h**2 - 72*h - 720 = 0?
-2, 2, 3, 15
Factor -l**3/9 - 1594*l**2/3 + 6380*l/3 - 19144/9.
-(l - 2)**2*(l + 4786)/9
Find o, given that -3*o**4/4 - 54855*o**3/4 - 164535*o**2/4 + 54855*o/4 + 82269/2 = 0.
-18282, -3, -1, 1
Factor 8*r**2/11 + 68200*r + 1598863750.
2*(2*r + 93775)**2/11
Factor -30*b**3 + 785*b**2 - 5575*b + 8250.
-5*(b - 15)*(b - 2)*(6*b - 55)
Determine b so that 2*b**5/15 + 26*b**4/15 + 26*b**3/5 + 46*b**2/15 - 16*b/3 - 24/5 = 0.
-9, -2, -1, 1
Factor 103684*i**3 + 4668356*i**2 + 115936*i + 720.
4*(i + 45)*(161*i + 2)**2
Solve -r**5 + 228*r**4 - 19440*r**3 + 734400*r**2 - 10368000*r = 0.
0, 48, 60
Find q such that 27*q**3/2 - 471*q**2/2 + 308*q/3 - 34/3 = 0.
2/9, 17
What is o in 2*o**2 + 353932*o + 15658482578 = 0?
-88483
Factor 48*d**2/5 + 297*d/5 + 459/5.
3*(d + 3)*(16*d + 51)/5
Suppose -m**4/4 - 15*m**3/2 - 131*m**2/4 - 75*m/2 = 0. What is m?
-25, -3, -2, 0
Let 2*f**3 + 10364*f**2 + 13436920*f + 26832400 = 0. What is f?
-2590, -2
What is c in c**2 - 2084*c + 4164 = 0?
2, 2082
Find t, given that -3*t**5 - 276*t**4 + 36555*t**3 - 926160*t**2 + 3887628*t - 2997744 = 0.
-173, 1, 4, 38
Solve -3*w**2/5 - 38838*w - 194187/5 = 0.
-64729, -1
Suppose 70*v**5/3 - 5774*v**4/3 - 9126*v**3 - 10034*v**2/3 + 10108*v/3 - 464 = 0. What is v?
-4, -1, 1/5, 2/7, 87
Factor 2*x**3/7 + 256*x**2/7 - 640*x + 18432/7.
2*(x - 8)**2*(x + 144)/7
Solve 5*o**2 + 1235*o - 8890 = 0.
-254, 7
Solve -35*m**4 + 205*m**3 + 17340*m**2 + 85680*m - 388800 = 0.
-12, 20/7, 27
Determine w, given that -10*w**3/13 + 1982*w**2/13 - 4280*w/13 - 6272/13 = 0.
-1, 16/5, 196
Suppose 12*t**3 - 46460*t**2 + 123796*t + 46428 = 0. What is t?
-1/3, 3, 3869
Determine k, given that 9*k**3 - 61023*k**2 - 40685*k - 6781 = 0.
-1/3, 6781
Factor 5*g**3 + 705*g**2 - 20*g - 2820.
5*(g - 2)*(g + 2)*(g + 141)
Find s, given that 108*s**3 - 23968*s**2 - 358608*s - 26432 = 0.
-14, -2/27, 236
Suppose -5*d**3 - 7930*d**2 - 1292725*d - 55763840 = 0. Calculate d.
-1408, -89
Factor -j**3 - 15579*j**2 - 373464*j - 2239920.
-(j + 12)**2*(j + 15555)
Factor -q**2/6 - 360290*q/3 - 64904442050/3.
-(q + 360290)**2/6
Suppose -x**2/4 + 12723*x - 161874729 = 0. What is x?
25446
Factor -g**2/3 + 409922*g/3 - 42009011521/3.
-(g - 204961)**2/3
Determine u so that -22*u**2 - 6982*u - 136920 = 0.
-3260/11, -21
Determine s, given that -5*s**4 + 240*s**3 - 2210*s**2 + 6600*s - 4625 = 0.
1, 5, 37
Factor -3*q**3 + 102*q**2.
-3*q**2*(q - 34)
Factor -4*h**2 - 529624*h + 529628.
-4*(h - 1)*(h + 132407)
Factor t**2 - 2763*t - 2764.
(t - 2764)*(t + 1)
Factor 3*g**3/8 - 2463*g**2/8 + 61464*g + 713856.
3*(g - 416)**2*(g + 11)/8
Let 3*b**5 + 21*b**4 - 252*b**3 - 876*b**2 - 48*b + 1152 = 0. Calculate b.
-12, -2, 1, 8
What is f in -33*f**5/4 + 1425*f**4/4 + 11139*f**3 + 82608*f**2 + 147960*f - 29700 = 0?
-10, -3, 2/11, 66
Factor 25*x**2 + 6960*x + 2780.
5*(x + 278)*(5*x + 2)
Suppose -5*b**5 + 430*b**4 - 12120*b**3 + 107570*b**2 + 120125*b = 0. Calculate b.
-1, 0, 25, 31
Factor 5*w**3 - 4985*w**2 + 121500*w.
5*w*(w - 972)*(w - 25)
Factor 2*v**3/9 - 262*v**2 + 784*v/3 + 4712/9.
2*(v - 1178)*(v - 2)*(v + 1)/9
Factor 2*u**3/9 - 16456*u**2/9 + 33833530*u/9 + 67732900/9.
2*(u - 4115)**2*(u + 2)/9
Let -3*m**3/8 - 20481*m**2/8 + 40971*m/8 - 20487/8 = 0. Calculate m.
-6829, 1
What is y in -4*y**2 - 358108*y + 358112 = 0?
-89528, 1
Factor -2*r**3/3 - 792*r**2 - 2370*r.
-2*r*(r + 3)*(r + 1185)/3
Find f, given that 26*f**4 - 284*f**3 - 48*f**2 + 284*f + 22 = 0.
-1, -1/13, 1, 11
What is r in 2*r**3/7 + 7418*r**2 + 337012720*r/7 - 337064648/7 = 0?
-12982, 1
What is l in -l**3 - 111*l**2 + 162981*l - 20156909 = 0?
-509, 199
Factor o**3/5 + 780574*o**2/5 + 780573*o/5.
o*(o + 1)*(o + 780573)/5
Factor -4*y**3 + 18712*y**2 - 18708*y.
-4*y*(y - 4677)*(y - 1)
Solve k**5/2 - 223*k**4/2 + 5557*k**3 + 75401*k**2 - 11115*k/2 - 150579/2 = 0.
-11, -1, 1, 117
Factor 2*y**2/9 + 157924*y/9 + 3117498722/9.
2*(y + 39481)**2/9
Suppose 4*j**4/7 - 2540*j**3/7 - 10212*j**2/7 - 7668*j/7 = 0. What is j?
-3, -1, 0, 639
Find k such that -3*k**4 + 4479*k**3 + 17964*k**2 = 0.
-4, 0, 1497
Solve -2*h**5/15 - 1338*h**4/5 + 10736*h**3/5 - 12896*h**2/3 = 0 for h.
-2015, 0, 4
Factor y**2/3 + 12469*y/3 - 12470/3.
(y - 1)*(y + 12470)/3
What is b in 3*b**4 + 516*b**3 - 231855*b**2 = 0?
-377, 0, 205
Factor 44*h**3 - 1412*h**2 - 7736*h - 9472.
4*(h - 37)*(h + 2)*(11*h + 32)
Factor -2*b**2 + 986*b + 4980.
-2*(b - 498)*(b + 5)
Factor 45*w**2 - 43788*w + 2919.
3*(w - 973)*(15*w - 1)
Let -2*l**2/19 + 74*l/19 + 551616/19 = 0. Calculate l.
-507, 544
Factor 109989075*a**2 + 18165*a + 3/4.
3*(12110*a + 1)**2/4
Let u**2/6 - 1143*u/2 - 65873/3 = 0. What is u?
-38, 3467
Factor -2*m**2/5 - 94948*m/5 + 284934.
-2*(m - 15)*(m + 47489)/5
Find f, given that -3*f**2 + 473100*f - 18651967500 = 0.
78850
Find o such that 2*o**3/15 - 11284*o**2/3 + 132502272*o/5 + 1858719744/5 = 0.
-14, 14112
Determine i so that -27*i**3 + 2425743*i**2 + 1617171*i + 269529 = 0.
-1/3, 89843
Determine q so that 4*q**3/7 - 1240040*q**2/7 + 96104960048*q/7 + 192214880288/7 = 0.
-2, 155006
What is z in 4*z**2 - 988*z + 50400 = 0?
72, 175
Factor -g**4/5 + 806*g**3/5 + 7308*g**2/5 + 21978*g/5 + 4401.
-(g - 815)*(g + 3)**3/5
Let 3*v**3/2 - 12519*v**2/2 + 18768*v - 12510 = 0. Calculate v.
1, 2, 4170
Solve -f**4 - 88*f**3 + 673*f**2 + 760*f = 0.
-95, -1, 0, 8
Suppose -20*v**4 + 67232*v**3 + 26896*v**2 = 0. What is v?
-2/5, 0, 3362
Let 4*g**4 - 1478*g**3 - 740*g**2 = 0. What is g?
-1/2, 0, 370
Factor 2*u**3 + 578*u**2 + 23468*u - 103248.
2*(u - 4)*(u + 54)*(u + 239)
Suppose -3*f**2 - 27618*f + 304161 = 0. What is f?
-9217, 11
Factor -g**2/5 - 18972*g/5 - 89984196/5.
-(g + 9486)**2/5
Determine j, given that -3*j**3 + 37764*j**2 + 1210752*j + 9692160 = 0.
-16, 12620
Suppose u**2/7 - 1742*u/7 - 5235/7 = 0. What is u?
-3, 1745
Let -2*y**3/7 - 2572*y**2/7 + 106002*y/7 - 103428/7 = 0. What is y?
-1326, 1, 39
Determine l so that -l**5/5 - 15307*l**4/5 - 61212*l**3/5 = 0.
-15303, -4, 0
Let 6*i**5/11 - 38*i**4/11 - 2670*i**3/11 - 17946*i**2/11 - 9920*i/11 + 5400/11 = 0. What is i?
-10, -1, 1/3, 27
Find x, given that -2*x**4/9 - 710*x**3/9 - 19642*x**2/3 + 81862*x = 0.
-183, 0, 11
Let 2*y**3/3 - 4670*y**2/3 + 92800*y/3 - 463000/3 = 0. Calculate y.
10, 2315
What is c in 6*c**5/7 + 450*c**4/7 + 5352*c**3/7 - 99432*c**2/7 + 55680*c - 432000/7 = 0?
-50, -36, 2, 4, 5
Suppose 4*o**3/5 - 3744*o**2/5 + 11204*o/5 - 7464/5 = 0. What is o?
1, 2, 933
Find r, given that -68*r**2/5 + 2336*r/5 - 8256/5 = 0.
4, 516/17
Factor -4*o**3 + 2720*o**2 + 36*o - 24480.
-4*(o - 680)*(o - 3)*(o + 3)
Let 9*w**3 - 81057*w**2 - 540744*w - 324468 = 0. Calculate w.
-6, -2/3, 9013
Let 15*w**4 + 1971*w**3 - 43014*w**2 + 208980*w + 90600 = 0. Calculate w.
-151, -2/5, 10
Factor -3*s**2 - 2607288*s - 566495892912.
-3*(s + 434548)**2
Factor -1482*l**4/5 + 1486*l**3/5 - 4*l**2/5.
-2*l**2*(l - 1)*(741*l - 2)/5
Let z**2/3 - 2940*z - 8821/3 = 0. Calculate z.
-1, 8821
Let -4*t**3 + 580*t**2 + 11872*t -