 given that -4*k**4 - 104*k**3 + 2784*k**2 - 16384*k + 22528 = 0.
-44, 2, 8
Determine g, given that g**3/3 - 25*g**2 - 4*g/3 + 100 = 0.
-2, 2, 75
Factor -2*w**2 + 8256*w + 216008.
-2*(w - 4154)*(w + 26)
Determine m so that -m**4/5 + 1473*m**3/5 + 1479*m**2/5 - 7373*m/5 + 4422/5 = 0.
-3, 1, 1474
Find l such that -4*l**4 - 324*l**3 + 2104*l**2 + 1296*l - 8352 = 0.
-87, -2, 2, 6
Find q such that -2*q**3 + 1250*q**2 + 66364*q - 210288 = 0.
-52, 3, 674
Solve -5*y**3 + 65*y**2 + 1025*y + 2875 = 0.
-5, 23
Suppose -2*j**4/17 - 76*j**3/17 + 26*j**2/17 + 212*j - 3552/17 = 0. What is j?
-37, -8, 1, 6
Solve 2*m**4/7 + 208*m**3/7 - 3324*m**2/7 - 31968*m/7 + 120042/7 = 0 for m.
-117, -9, 3, 19
Let -1348*o**3 + 134792*o**2/5 - 134768*o - 160 = 0. What is o?
-2/1685, 10
Factor y**3/2 - 439*y**2/2 - 441*y.
y*(y - 441)*(y + 2)/2
Solve a**4/8 - 1541*a**3/2 + 2353009*a**2/2 + 33396552*a + 234837792 = 0 for a.
-14, 3096
Factor -5*b**3 + 50*b**2 + 2445*b - 31050.
-5*(b - 18)*(b - 15)*(b + 23)
Suppose -2*o**3/11 - 562*o**2/11 - 4924*o/11 - 7616/11 = 0. What is o?
-272, -7, -2
Suppose u**2 - 116375*u/4 - 14547/2 = 0. Calculate u.
-1/4, 29094
Factor 3*o**3 - 735*o**2 - 6099*o + 6831.
3*(o - 253)*(o - 1)*(o + 9)
Suppose -d**5/2 + 75*d**4/2 + 286*d**3 + 114*d**2 - 2576*d - 3936 = 0. What is d?
-4, -2, 3, 82
Solve -3*r**3 - 24555*r**2 - 50184225*r + 251535375 = 0.
-4095, 5
Determine n, given that 4*n**2 + 1180*n = 0.
-295, 0
Factor 3*q**4 - 231*q**3 + 4086*q**2 - 19008*q - 23328.
3*(q - 54)*(q - 12)**2*(q + 1)
Determine b so that -3*b**5 + 726*b**4 - 8742*b**3 - 43032*b**2 - 56919*b - 23358 = 0.
-2, -1, 17, 229
Determine i, given that -2*i**3/5 + 216*i**2/5 - 3558*i/5 + 3344/5 = 0.
1, 19, 88
Let -39*b**5/4 - 13569*b**4/2 - 11445*b**3/2 + 7827*b**2 + 22929*b/4 - 2085/2 = 0. What is b?
-695, -1, 2/13, 1
Find s such that -105*s**3/2 + 18797*s**2/2 + 18826*s - 362 = 0.
-2, 2/105, 181
Determine s so that 4*s**3/7 + 40*s**2/7 + 12*s/7 - 72 = 0.
-7, -6, 3
Factor -3*h**3 + 3375*h**2 - 1263600*h + 157423500.
-3*(h - 390)**2*(h - 345)
Factor -2*x**2 - 245404*x.
-2*x*(x + 122702)
Find m such that m**3 + 346*m**2 - 711*m - 5220 = 0.
-348, -3, 5
Factor 5*f**2/2 - 28145*f + 56280.
5*(f - 11256)*(f - 2)/2
Suppose -5*i**4 - 315*i**3 - 6715*i**2 - 50505*i - 44100 = 0. What is i?
-21, -20, -1
Factor -3*u**3 - 3804*u**2 + 42207*u.
-3*u*(u - 11)*(u + 1279)
Find m, given that 2*m**2 + 1020*m - 4112 = 0.
-514, 4
Let x**4/3 - 5351*x**3 + 64416673*x**2/3 + 21488279*x - 128865458/3 = 0. What is x?
-2, 1, 8027
Find l, given that -18*l**4/7 - 5808*l**3/7 - 684812*l**2/7 - 4985200*l - 92828750 = 0.
-103, -175/3
Find q such that -2*q**5/9 + 28*q**4/9 - 16*q**3/3 - 512*q**2/9 + 1024*q/9 = 0.
-4, 0, 2, 8
Factor -4*k**2/3 + 25324*k + 151992.
-4*(k - 18999)*(k + 6)/3
Solve -1991*q**2/3 + 10*q/3 + 64/3 = 0.
-32/181, 2/11
Factor 2*y**3/7 - 104684*y**2/7 + 1370679570*y/7 - 21904082208/7.
2*(y - 26163)**2*(y - 16)/7
Factor -2*n**2 + 302812*n - 11461888418.
-2*(n - 75703)**2
Factor 2*s**2 + 13846*s - 249876.
2*(s - 18)*(s + 6941)
Factor 2*h**2/11 + 248628*h/11 + 7726985298/11.
2*(h + 62157)**2/11
Determine a so that 2*a**4 + 186*a**3 - 2242*a**2 + 4854*a + 7280 = 0.
-104, -1, 5, 7
Find w such that -3*w**4/2 + 897*w**3 - 14181*w**2/2 + 6195*w = 0.
0, 1, 7, 590
Determine w so that 2*w**5/17 + 22*w**4/17 + 44*w**3/17 - 192*w**2/17 - 576*w/17 = 0.
-6, -4, 0, 3
Determine d, given that d**5/3 - 12*d**4 - 66*d**3 - 284*d**2/3 - 41*d = 0.
-3, -1, 0, 41
Suppose 2*a**3/9 - 854*a**2/9 + 59536*a/9 + 7263392/9 = 0. What is a?
-61, 244
Factor 2*p**4 - 552*p**3 - 554*p**2.
2*p**2*(p - 277)*(p + 1)
Factor 4*r**4 - 1124*r**3 + 10952*r**2 - 30448*r + 26016.
4*(r - 271)*(r - 6)*(r - 2)**2
Determine r so that -45*r**5 + 485*r**4 + 7850*r**3 + 8920*r**2 + 1600*r = 0.
-8, -1, -2/9, 0, 20
Factor u**3 - 192*u**2 - 1995*u - 5050.
(u - 202)*(u + 5)**2
Suppose -116*j**3 - 605*j**2/3 + 181*j/3 - 2/3 = 0. Calculate j.
-2, 1/87, 1/4
Determine t, given that 4*t**5 - 983418*t**4 + 80592088514*t**3 - 2201480352839872*t**2 - 3302361567258624*t - 1100800621346816 = 0.
-1, -1/2, 81952
Factor -2*y**2/7 + 213706*y/7 - 213704/7.
-2*(y - 106852)*(y - 1)/7
Factor 2*h**2/3 - 6794*h/3 - 52440.
2*(h - 3420)*(h + 23)/3
Let -i**4/7 + 167*i**3 - 1164*i**2/7 - 668*i + 4672/7 = 0. Calculate i.
-2, 1, 2, 1168
Factor h**2 - 85898*h + 85897.
(h - 85897)*(h - 1)
Let 3*z**3 - 717*z**2 + 2004*z + 28320 = 0. What is z?
-5, 8, 236
Suppose 1429*k**2/8 + 2145*k/4 + 9/8 = 0. Calculate k.
-3, -3/1429
Factor -4*s**2 + 847888*s - 44932128784.
-4*(s - 105986)**2
Factor -3*p**3 - 1506*p**2 - 7305*p + 74550.
-3*(p - 5)*(p + 10)*(p + 497)
Determine f so that -3*f**4/4 - 83685*f**3 - 9338241753*f**2/4 - 9337153878*f - 7002677124 = 0.
-55788, -3, -1
Find l, given that l**2/2 + 32493*l/2 + 162415 = 0.
-32483, -10
Find f, given that 8*f**4/7 + 946*f**3/7 + 25476*f**2/7 + 53078*f/7 + 11692/7 = 0.
-79, -37, -2, -1/4
Factor -l**4/2 + 2139*l**3 - 4579597*l**2/2 + 4573182*l - 2285522.
-(l - 2138)**2*(l - 1)**2/2
Factor -3*g**4 - 393*g**3 - 12564*g**2 + 12960*g.
-3*g*(g - 1)*(g + 60)*(g + 72)
Factor -w**2/2 - 21753*w - 87004.
-(w + 4)*(w + 43502)/2
Factor y**3/2 - 147787*y**2/2 + 2730235508*y - 8190041496.
(y - 73892)**2*(y - 3)/2
Let -2*q**3 - 3270*q**2 - 1334976*q + 1338248 = 0. Calculate q.
-818, 1
Factor 3*u**3 + 9129*u**2 + 181488*u + 326484.
3*(u + 2)*(u + 18)*(u + 3023)
Factor -3*l**2/4 + 3087*l/4 - 106005/2.
-3*(l - 955)*(l - 74)/4
Factor -12066279043396*z**4 - 96525221780744*z**3 + 40083837840*z**2 - 5548384*z + 256.
-4*(z + 8)*(14449*z - 2)**3
Suppose j**2/3 - 413*j/3 - 1700 = 0. Calculate j.
-12, 425
What is f in 4*f**3 + 4496*f**2 + 1231316*f - 18130616 = 0?
-569, 14
Determine w so that 2*w**3 - 7548*w**2 + 120286*w - 112740 = 0.
1, 15, 3758
Find h, given that -h**4 + 338*h**3 - 26097*h**2 - 416416*h - 1517824 = 0.
-7, 176
Suppose 27*v**2 + 42*v - 24 = 0. What is v?
-2, 4/9
Determine b so that 4*b**2 - 3796*b - 3800 = 0.
-1, 950
Suppose 2*h**3/11 - 4478*h**2/11 + 31268*h/11 - 44640/11 = 0. Calculate h.
2, 5, 2232
Let 2*k**4/5 + 927*k**3/5 - 2793*k**2/5 + 2797*k/5 - 933/5 = 0. What is k?
-933/2, 1
Find m, given that 5000*m**5/11 - 1724400*m**4/11 + 149433018*m**3/11 - 129969410*m**2/11 - 17211696*m/11 - 532512/11 = 0.
-3/50, 1, 172
Factor 8*h**3 - 116*h**2 - 3868*h - 13104.
4*(h + 4)*(h + 13)*(2*h - 63)
What is i in -4*i**5 - 996*i**4 - 92748*i**3 - 3812252*i**2 - 57121344*i + 61027344 = 0?
-63, -62, 1
Find l, given that 4*l**5/5 + 28*l**4 + 1544*l**3/5 + 6016*l**2/5 + 4608*l/5 = 0.
-18, -8, -1, 0
Determine v so that -15*v**3 + 980*v**2 - 935*v - 1930 = 0.
-1, 2, 193/3
Factor 2*c**5 + 4*c**4 - 8976*c**3.
2*c**3*(c - 66)*(c + 68)
Find k, given that 60*k**5 + 2635*k**4 - 2965*k**3 - 1765*k**2 + 1585*k + 450 = 0.
-45, -2/3, -1/4, 1
Find c such that -4*c**5/9 - 14*c**4/3 - 148*c**3/9 - 24*c**2 - 136*c/9 - 10/3 = 0.
-5, -3, -1, -1/2
Suppose 3*u**5 - 984*u**4 - 7002*u**3 - 11040*u**2 - 5025*u = 0. Calculate u.
-5, -1, 0, 335
Factor 2*m**2 + 134174*m - 805116.
2*(m - 6)*(m + 67093)
Let -2*d**5/7 - 144*d**4/7 - 220*d**3 - 6168*d**2/7 - 10170*d/7 - 5400/7 = 0. What is d?
-60, -5, -3, -1
Solve -3*y**4 + 46287*y**3 + 92589*y**2 - 46287*y - 92586 = 0 for y.
-2, -1, 1, 15431
Factor -2*t**2/7 - 52*t - 720/7.
-2*(t + 2)*(t + 180)/7
Let -2*q**5/13 - 220*q**4/13 + 686*q**3/13 + 904*q**2/13 = 0. What is q?
-113, -1, 0, 4
Solve c**3/4 - 44383*c**2 + 177529*c - 177528 = 0.
2, 177528
Solve 2*p**2 - 2110*p + 18828 = 0 for p.
9, 1046
Factor -2*u**2/15 + 26942*u/5.
-2*u*(u - 40413)/15
Let p**5/4 - 132*p**4 + 46197*p**3/2 - 1315818*p**2 - 16635699*p/4 = 0. What is p?
-3, 0, 177
Solve 27*f**2 - 428*f - 527 = 0 for f.
-31/27, 17
Let -2*b**2/9 - 1350260*b/9 - 450086/3 = 0. What is b?
-675129, -1
Factor 2*j**2/19 + 2064*j/19 + 10270/19.
2*(j + 5)*(j + 1027)/19
Factor -2*c**5/7 + 418*c**4/7 - 1242*c**3/7 + 1238*c**2/7 - 412*c/7.
-2*c*(c - 206)*(c - 1)**3/7
Suppose 2*z**2/19 - 151348*z/19 + 2863277138/19 = 0. Calculate z.
37837
Suppose 5*l**3 + 11710*l**2 - 11725*l - 23430 = 0. Calculate l.
-2343, -1, 2
Let 20*k**4 + 1845*k**3/2 + 9220*k**2 - 65325*k/2 + 22500 = 0. Calculate k.
-25, -24, 1, 15/8
Factor -2*z**3/5 - 38*z**2 - 3774*z/5 + 36414/5.
-2*(z - 7)*(z + 51)**2/5
Solve g**5/5 - 18*g**4/5 + 119