uch that -4*j**2 + 20672*j - 26708224 = 0.
2584
Find p, given that -5*p**5 + 2035*p**4 - 206000*p**3 - 224340*p**2 + 1640160*p + 2496960 = 0.
-2, 3, 204
Suppose 5*w**2 + 69090*w + 207225 = 0. What is w?
-13815, -3
Determine g, given that -55*g**3/2 + 27281*g**2/4 - 13709*g/2 + 247/4 = 0.
1/110, 1, 247
Factor -4*g**2/9 - 25622*g/9 - 4270/3.
-2*(g + 6405)*(2*g + 1)/9
Factor 2*s**4/17 + 8900*s**3/17 + 9919034*s**2/17 + 39569400*s/17 + 39533832/17.
2*(s + 2)**2*(s + 2223)**2/17
Let -3*l**4/5 - 186*l**3/5 - 4011*l**2/5 - 34068*l/5 - 83232/5 = 0. Calculate l.
-24, -17, -4
Suppose -2*y**5/3 + 204*y**4 - 2422*y**3/3 + 1804*y**2/3 + 808*y - 2416/3 = 0. What is y?
-1, 1, 2, 302
Find k such that -3*k**2/4 - 8157*k/4 - 36585/2 = 0.
-2710, -9
Let -4*b**3 + 178*b**2 + 666*b + 288 = 0. Calculate b.
-3, -1/2, 48
Determine k, given that -7*k**5 - 788*k**4 - 427*k**3 + 2350*k**2 - 232*k - 896 = 0.
-112, -2, -4/7, 1
Solve 3*t**3/5 + 144*t**2/5 + 1023*t/5 - 4446/5 = 0.
-38, -13, 3
Determine j, given that 4*j**3/3 - 2984*j**2/3 + 658688*j/3 - 36153472/3 = 0.
82, 332
Suppose -2*i**3 - 6194*i**2 + 18600*i = 0. Calculate i.
-3100, 0, 3
Factor f**4/2 + 81*f**3/2 + 1092*f**2 + 12032*f + 46080.
(f + 9)*(f + 16)**2*(f + 40)/2
Factor j**5/6 - 18*j**4 + 1531*j**3/3 - 4274*j**2/3 + 2779*j/2 - 1372/3.
(j - 56)*(j - 49)*(j - 1)**3/6
Factor 5*f**2 - 82740*f + 165460.
5*(f - 16546)*(f - 2)
Let 5*p**3 + 2505*p**2 + 136800*p + 1984500 = 0. What is p?
-441, -30
Factor 5*m**3 + 1275*m**2 + 29170*m + 96600.
5*(m + 4)*(m + 21)*(m + 230)
Let 52*c**3 - 20028*c**2 + 3080*c = 0. Calculate c.
0, 2/13, 385
Let 22*v**5/7 + 218*v**4/7 - 4838*v**3/7 - 20770*v**2/7 - 19808*v/7 + 1976/7 = 0. Calculate v.
-19, -2, 1/11, 13
Suppose -2*d**5 - 50*d**4 + 706*d**3 - 70*d**2 - 10192*d - 13720 = 0. Calculate d.
-35, -2, 7
Find k, given that 1435*k**2 + 76065*k + 530 = 0.
-53, -2/287
Factor -4*k**2 - 664*k - 7392.
-4*(k + 12)*(k + 154)
Find f such that -f**2/3 + 118*f/3 - 224 = 0.
6, 112
What is g in g**3 + 153803*g**2 - 307609*g + 153805 = 0?
-153805, 1
Solve 5*r**2/4 + 1005*r/2 + 49590 = 0 for r.
-228, -174
Find t such that 3*t**4 + 180*t**3 - 183*t**2 = 0.
-61, 0, 1
Let -5*y**3 + 40*y**2 + 22015*y - 22050 = 0. What is y?
-63, 1, 70
Factor k**4/6 - 187*k**3/6 - 193*k**2/2 + 561*k/2 + 855.
(k - 190)*(k - 3)*(k + 3)**2/6
Factor -2*m**2 + 740*m + 136350.
-2*(m - 505)*(m + 135)
Solve -15*a**4 + 1925*a**3 - 21685*a**2 + 26155*a - 6380 = 0 for a.
1/3, 1, 11, 116
Factor 4*y**4 - 668020*y**3 + 37188450684*y**2 - 690155656818524*y + 2760027654815408.
4*(y - 55667)**3*(y - 4)
Determine g so that -2*g**5/9 + 994*g**4/9 - 2140*g**3 + 85820*g**2/9 + 19262*g/9 - 9646 = 0.
-1, 1, 7, 13, 477
Factor -5*l**4 + 875*l**3 + 6310*l**2 + 10920*l.
-5*l*(l - 182)*(l + 3)*(l + 4)
Suppose 5*k**4 - 660*k**3 + 13905*k**2 - 13250*k = 0. What is k?
0, 1, 25, 106
Factor -3*l**2/8 - 2325*l/8 + 36225/4.
-3*(l - 30)*(l + 805)/8
Suppose 2*x**4 - 11806*x**3 - 59066*x**2 - 82706*x - 35448 = 0. What is x?
-3, -1, 5908
Factor -4*d**3/3 + 15520*d**2/3 - 31024*d/3.
-4*d*(d - 3878)*(d - 2)/3
Suppose 3*s**5 + 675*s**4 - 3423*s**3 + 6189*s**2 - 4824*s + 1380 = 0. What is s?
-230, 1, 2
Let c**4/4 - 64*c**3 - 303*c**2/4 + 5951*c/2 - 5140 = 0. Calculate c.
-8, 2, 5, 257
Solve 35*u**5 - 101280*u**4 + 72105*u**3 + 636400*u**2 + 173580*u = 0.
-2, -2/7, 0, 3, 2893
Determine l so that 2*l**3/19 + 476*l**2/19 - 10130*l/19 - 93548/19 = 0.
-257, -7, 26
Factor -v**5/2 - 53*v**4/2 + 114*v**3 - 8*v**2 - 448*v + 456.
-(v - 2)**3*(v + 2)*(v + 57)/2
Factor 4*u**3 + 4604*u**2 - 166184*u - 170784.
4*(u - 36)*(u + 1)*(u + 1186)
Solve 4*z**2 - 2024*z - 330720 = 0.
-130, 636
Factor -15*t**3 + 216438*t**2 - 43287*t.
-3*t*(t - 14429)*(5*t - 1)
Suppose g**3/2 + 935*g**2/4 - 587*g + 235 = 0. What is g?
-470, 1/2, 2
Factor -4*z**2 + 14152*z - 337344.
-4*(z - 3514)*(z - 24)
Factor -4*j**2 - 98504*j - 1378272.
-4*(j + 14)*(j + 24612)
Solve 4774*w**3 + 13161*w**2 - 3541*w - 174 = 0 for w.
-3, -29/682, 2/7
Determine c so that -c**2/4 - 6355*c/2 - 291801/4 = 0.
-12687, -23
Suppose -5*v**5 - 80*v**4 + 1360*v**3 + 1510*v**2 - 1355*v - 1430 = 0. Calculate v.
-26, -1, 1, 11
Suppose -3*r**2 - 4260*r - 12753 = 0. What is r?
-1417, -3
Find b such that 3*b**3 - 38703*b**2 + 124884885*b - 374306409 = 0.
3, 6449
Suppose -6*z**5/11 - 692*z**4/11 - 6088*z**3/11 - 16176*z**2/11 - 6656*z/11 + 13568/11 = 0. Calculate z.
-106, -4, -2, 2/3
Let 14*c**2 - 34884*c/7 - 1424/7 = 0. Calculate c.
-2/49, 356
Factor -435*n**3 - 2155*n**2 + 6190*n - 280.
-5*(n - 2)*(n + 7)*(87*n - 4)
Suppose 5*b**2 + 30690*b + 47093805 = 0. What is b?
-3069
Factor -2*t**2 - 58666*t.
-2*t*(t + 29333)
Find w, given that -w**2/2 + 660*w + 3969/2 = 0.
-3, 1323
Factor 75*a**3 + 131415*a**2 - 105168*a + 21036.
3*(a + 1753)*(5*a - 2)**2
Factor -3*f**3 - 2196*f**2 + 27*f + 19764.
-3*(f - 3)*(f + 3)*(f + 732)
Factor -2*t**3/3 + 44822*t**2/3 - 447770*t + 3357150.
-2*(t - 22381)*(t - 15)**2/3
Suppose 10*f**5/3 + 299*f**4/3 - 8840*f**3/3 + 25061*f**2/3 - 18098*f/3 + 1568/3 = 0. What is f?
-49, 1/10, 1, 2, 16
Factor -3*d**4 - 2253*d**3 + 4518*d**2.
-3*d**2*(d - 2)*(d + 753)
Suppose -2*y**5/3 + 56*y**4 - 2804*y**3/3 + 3304*y**2 + 2806*y/3 - 3360 = 0. Calculate y.
-1, 1, 5, 16, 63
Factor 3*m**2 - 252108*m + 5296536972.
3*(m - 42018)**2
Let -2*t**2 + 810544*t/9 - 60040/3 = 0. Calculate t.
2/9, 45030
Factor -n**2/2 - 22577*n - 509720929/2.
-(n + 22577)**2/2
Solve -3*o**3/4 - 51*o**2 + 27*o/4 + 459 = 0 for o.
-68, -3, 3
Determine a, given that -a**5/6 - 83*a**4/2 + 3083*a**3/3 - 12790*a**2/3 - 48700*a + 952000/3 = 0.
-272, -7, 10
Determine u, given that -17*u**4/2 - 15*u**3 + 6*u**2 + 23*u + 21/2 = 0.
-1, 21/17
Solve 4*a**2 - 4580*a + 18256 = 0.
4, 1141
Solve 4*w**4/9 - 392*w**3/9 - 3172*w**2/3 - 56720*w/9 - 47600/9 = 0.
-10, -1, 119
Suppose -5*l**5 + 150*l**4 - 590*l**3 - 1020*l**2 + 3475*l + 3750 = 0. Calculate l.
-2, -1, 3, 5, 25
Factor 5*t**4 + 2795*t**3 + 84620*t**2 + 158100*t.
5*t*(t + 2)*(t + 30)*(t + 527)
Factor -m**2/6 + 199*m/2 + 3965/3.
-(m - 610)*(m + 13)/6
Factor -u**2 - 124*u + 381.
-(u - 3)*(u + 127)
Let -5*s**5 - 4910*s**4 - 1299390*s**3 - 46045260*s**2 - 391831965*s + 978318810 = 0. Calculate s.
-471, -21, 2
Let 3*f**3 - 263214*f**2 + 5773467483*f = 0. Calculate f.
0, 43869
Determine n so that -191*n**2/7 - 27*n + 2/7 = 0.
-1, 2/191
Determine a, given that 3*a**2/5 + 5604*a/5 - 2244 = 0.
-1870, 2
Factor -j**3 + 1780*j**2 - 5327*j - 7108.
-(j - 1777)*(j - 4)*(j + 1)
Factor -r**2/3 - 1139*r/3 + 4992.
-(r - 13)*(r + 1152)/3
Determine r, given that -4*r**2 - 52240*r - 52236 = 0.
-13059, -1
Find v such that 4*v**4 - 8520*v**3 - 59836*v**2 = 0.
-7, 0, 2137
Solve -5*y**2 - 13550*y - 599625 = 0 for y.
-2665, -45
Factor k**3/5 - 894*k**2/5 - 539*k + 3588/5.
(k - 897)*(k - 1)*(k + 4)/5
Factor w**5 + 92*w**4 + 403*w**3 - 2748*w**2 + 3132*w.
w*(w - 2)**2*(w + 9)*(w + 87)
Find x such that -4*x**2 - 1091728*x + 1091732 = 0.
-272933, 1
What is o in 4*o**5 + 10368*o**4 + 72344*o**3 - 93088*o**2 - 72348*o + 82720 = 0?
-2585, -8, -1, 1
Solve -2*r**3 - 2*r**2 + 6666*r - 145926 = 0.
-67, 33
Solve -2*m**4 - 52*m**3 + 794*m**2 + 15916*m + 28272 = 0.
-31, -12, -2, 19
Factor j**2/10 - 57923*j/10 - 11585.
(j - 57925)*(j + 2)/10
Factor -k**3/7 - 41252*k**2/7 + 165020*k/7 - 165024/7.
-(k - 2)**2*(k + 41256)/7
Determine i so that 2*i**5/7 - 96*i**4/7 + 4*i**3/7 + 4064*i**2/7 + 7722*i/7 + 3760/7 = 0.
-5, -1, 8, 47
Determine x, given that x**4 - 78*x**3 + 209*x**2 + 1188*x + 900 = 0.
-2, -1, 6, 75
Determine z so that -z**2/9 - 32000*z/3 - 256000000 = 0.
-48000
Factor g**3/2 - 323*g**2/4 - 6679*g/4 + 855.
(g - 180)*(g + 19)*(2*g - 1)/4
Let -220*c**3/7 + 4408*c**2 - 239340*c/7 - 49104/7 = 0. What is c?
-1/5, 93/11, 132
Find q, given that 5*q**2/3 - 18941*q - 22730/3 = 0.
-2/5, 11365
Factor -x**2 + 3022*x - 15085.
-(x - 3017)*(x - 5)
Determine i so that -3*i**3/8 - 6423*i**2/8 + 569019*i/8 - 12353169/8 = 0.
-2227, 43
Solve -8*c**5/9 + 62*c**4/9 - 152*c**3/9 + 34*c**2/3 + 4*c = 0.
-1/4, 0, 2, 3
Factor 4*r**3 + 599088*r**2 + 1198164*r + 599080.
4*(r + 1)**2*(r + 149770)
Factor -3*l**4 - 51666*l**3 - 154980*l**2 - 154974*l - 51657.
-3*(l + 1)**3*(l + 17219)
Let -4*y**4 - 24*y**3 + 12*y**2 + 80*y + 48 = 0. Calculate y.
-6, -1, 2
Determine x, given that