**3/2 - 273*c**2/2 - 138*c = 0.
-1, 0, 92
Solve 3*n**2 + 15126*n - 1479744 = 0 for n.
-5138, 96
Let -39*x**4/8 - 95*x**3/2 - 575*x**2/8 - 125*x/4 - 2 = 0. Calculate x.
-8, -1, -2/3, -1/13
Suppose 14*b**4/5 - 836*b**3/5 - 120318*b**2/5 + 86596*b/5 + 34544/5 = 0. Calculate b.
-68, -2/7, 1, 127
Factor -x**3/3 + 2182*x**2 - 3570843*x.
-x*(x - 3273)**2/3
Solve 75*n**3 - 635*n**2 + 4576*n/3 - 3380/3 = 0.
26/15, 5
Factor -5*g**3 - 171265*g**2 - 1466499375*g + 1466670645.
-5*(g - 1)*(g + 17127)**2
Find r such that 75*r**4 + 155*r**3 + 10*r**2 = 0.
-2, -1/15, 0
Find o such that -2*o**5/7 + 12914*o**4/7 - 20852878*o**3/7 + 20827054*o**2/7 + 20852880*o/7 - 20839968/7 = 0.
-1, 1, 3228
Determine c, given that -c**4/2 + 441*c**3 - 123414*c**2 + 8953655*c + 1128443277/2 = 0.
-39, 307
Factor 2*n**3/7 + 2704*n**2/7 - 390*n - 32472/7.
2*(n - 4)*(n + 3)*(n + 1353)/7
Factor 3*k**4 - 15*k**3 - 333*k**2 - 705*k + 1050.
3*(k - 14)*(k - 1)*(k + 5)**2
Suppose -9*z**5/8 + 615*z**4/4 - 6909*z**3/2 + 17085*z**2 - 9900*z = 0. Calculate z.
0, 2/3, 6, 20, 110
Determine a so that a**3/2 - 81*a**2 - 1393*a/2 + 2805 = 0.
-11, 3, 170
Factor 3*o**4/4 - 594*o**3 + 234033*o**2/2 + 235818*o + 472827/4.
3*(o - 397)**2*(o + 1)**2/4
Find t such that t**3/7 - 764*t**2/7 - t/7 + 764/7 = 0.
-1, 1, 764
Determine j, given that 3*j**3 - 12615*j**2 + 100749*j - 88137 = 0.
1, 7, 4197
Solve -188*k**4 + 192*k**3 + 1124*k**2 - 24*k = 0.
-2, 0, 1/47, 3
Factor -m**3/11 - 269*m**2/11 - 1296*m/11 + 576.
-(m - 3)*(m + 8)*(m + 264)/11
Determine j so that -444*j**4 - 51496*j**3 + 1881268*j**2 + 1897520*j - 34800 = 0.
-145, -1, 2/111, 30
Factor 363*y**3/8 - 519915*y**2/8 - 47283*y - 8598.
3*(y - 1433)*(11*y + 4)**2/8
Suppose -2*t**4/13 - 1024*t**3/13 - 854*t**2 - 40176*t/13 - 48096/13 = 0. What is t?
-501, -4, -3
Determine n so that 177*n**2 + 1485*n - 972 = 0.
-9, 36/59
Determine f so that 5*f**3 - 3105*f**2 + 148195*f - 145095 = 0.
1, 51, 569
Determine r so that 4*r**3 - 2512*r**2 + 525840*r - 36691200 = 0.
208, 210
Factor 500*o**2/11 + 7498*o/11 - 30/11.
2*(o + 15)*(250*o - 1)/11
Determine b so that -2*b**2 + 7422*b - 7420 = 0.
1, 3710
Determine d, given that 35*d**5 - 230*d**4 - 82200*d**3 - 1487710*d**2 - 2994875*d + 2212500 = 0.
-25, -3, 4/7, 59
Factor -5*i**3 - 3050*i**2 - 6040*i + 24320.
-5*(i - 2)*(i + 4)*(i + 608)
Find b such that -5*b**3 + 590*b**2 - 3325*b - 3920 = 0.
-1, 7, 112
Determine o so that 9*o**2 + 462*o + 4968 = 0.
-36, -46/3
Find q, given that 2*q**4/13 + 3360*q**3/13 + 26794*q**2/13 + 70260*q/13 + 60192/13 = 0.
-1672, -3, -2
Solve -361*v**3/4 - 672581*v**2/4 - 312935739*v/4 + 313608681/4 = 0.
-17709/19, 1
Factor -3*t**2 + 26656*t - 8885.
-(t - 8885)*(3*t - 1)
Suppose 7*b**2/5 + 33724*b/5 - 9636/5 = 0. Calculate b.
-4818, 2/7
Factor -2*t**2/7 - 16860*t/7 + 84650.
-2*(t - 35)*(t + 8465)/7
Factor x**3/2 + 1622*x**2 + 6485*x/2 + 1621.
(x + 1)**2*(x + 3242)/2
Find b, given that b**4/4 + 2799*b**3/4 - 67707*b**2/4 + 127013*b/4 - 31053/2 = 0.
-2823, 1, 22
Let -z**4/3 - 3347*z**3/3 - 2812262*z**2/3 - 19462180*z/3 + 16733400 = 0. What is z?
-1670, -9, 2
Let -h**5/2 + 833*h**4/2 - 2487*h**3 + 4966*h**2 - 3308*h = 0. Calculate h.
0, 2, 827
Find a such that -5*a**2 + 2625*a - 114480 = 0.
48, 477
Factor 4*l**2 - 1604*l + 3192.
4*(l - 399)*(l - 2)
Determine i, given that -2*i**2/7 - 9400*i + 65802/7 = 0.
-32901, 1
Determine u, given that -3*u**3 - 411*u**2 + 14838*u + 65736 = 0.
-166, -4, 33
Determine y, given that 15*y**3/2 - 2080*y**2 + 26330*y + 18480 = 0.
-2/3, 14, 264
Factor -k**4 + 1274*k**3 - 407037*k**2 + 805176*k + 1213488.
-(k - 636)**2*(k - 3)*(k + 1)
Factor 16*y**4/17 + 6542*y**3/17 + 880164*y**2/17 + 37364328*y/17 - 215501904/17.
2*(y + 138)**3*(8*y - 41)/17
Solve a**3 + 19605*a**2 - 39213*a + 19607 = 0.
-19607, 1
Factor n**4/3 + 389*n**3/3 - 4956*n**2 + 60624*n - 244800.
(n - 12)**3*(n + 425)/3
Determine m so that -104*m**3/3 - 1316*m**2/3 - 3080*m/3 + 1500 = 0.
-225/26, -5, 1
Find r, given that -5*r**4 - 4975*r**3 + 35070*r**2 = 0.
-1002, 0, 7
Find u, given that 5*u**5/3 + 347*u**4/3 + 3955*u**3/3 + 11221*u**2/3 - 2744*u = 0.
-56, -7, 0, 3/5
Let -4*o**4/7 - 46728*o**3 - 6687641236*o**2/7 - 3820948560*o - 26745331600/7 = 0. Calculate o.
-40885, -2
Let 4*z**4 + 8508*z**3 - 8516*z**2 - 8508*z + 8512 = 0. What is z?
-2128, -1, 1
Let 2*j**2 - 110*j + 212 = 0. What is j?
2, 53
Factor -5*h**2 - 795*h - 3850.
-5*(h + 5)*(h + 154)
Suppose 40*h**2 - 3705*h - 79650 = 0. Calculate h.
-18, 885/8
Suppose 3*b**2/2 - 2130*b - 358416 = 0. What is b?
-152, 1572
Determine d, given that -2*d**3/11 + 6654*d**2/11 - 5497686*d/11 - 5571122 = 0.
-11, 1669
Suppose g**3 - 49*g**2 + 91*g + 141 = 0. What is g?
-1, 3, 47
Suppose -2*t**4 + 84*t**3 - 882*t**2 = 0. Calculate t.
0, 21
Let -4202*d**2/13 + 16804*d/13 + 16/13 = 0. Calculate d.
-2/2101, 4
Factor -4*o**3/5 + 284*o**2/5 + 4984*o/5 + 15136/5.
-4*(o - 86)*(o + 4)*(o + 11)/5
Factor -92*z**3 + 1004*z**2 - 832*z - 80.
-4*(z - 10)*(z - 1)*(23*z + 2)
Solve -3*w**3 - 50427*w**2 - 212485581*w - 4860528981 = 0.
-8393, -23
Solve l**2 + 34778*l - 34779 = 0.
-34779, 1
Suppose 15*g**5 + 111*g**4 + 198*g**3 - 162*g**2 - 405*g + 243 = 0. Calculate g.
-3, 3/5, 1
Factor -5*n**3 + 136635*n**2 - 1912155*n + 6691685.
-5*(n - 27313)*(n - 7)**2
Determine h so that -71442*h**3 - 71946*h**2 - 4544*h/9 - 8/9 = 0.
-1, -2/567
Suppose -2*a**2/17 + 12704*a/17 + 114498/17 = 0. What is a?
-9, 6361
What is u in 4*u**5 - 32*u**4 - 7648*u**3 - 119680*u**2 - 209088*u = 0?
-22, -2, 0, 54
Factor 2*q**2/7 + 1252*q/7 + 22784.
2*(q + 178)*(q + 448)/7
Factor 4*m**2 - 67848*m - 203580.
4*(m - 16965)*(m + 3)
Solve 3*l**4 + 1341*l**3 - 1362*l**2 - 8064*l = 0.
-448, -2, 0, 3
Factor -f**3/3 - 22*f**2/3 + 211*f/3 + 232/3.
-(f - 8)*(f + 1)*(f + 29)/3
Factor -5*l**3/3 + 700*l**2 - 88755*l + 3014010.
-5*(l - 183)**2*(l - 54)/3
Find y, given that 4*y**3/7 - 64600*y**2/7 + 193748*y/7 + 258352/7 = 0.
-1, 4, 16147
Factor 4*y**3 + 432*y**2 - 29136*y + 389312.
4*(y - 28)*(y - 22)*(y + 158)
Find w, given that -5*w**3 - 309575*w**2 - 4791988815*w - 4791679245 = 0.
-30957, -1
Determine u so that -4*u**3/3 - 1204*u**2/3 - 67468*u/3 + 1227116 = 0.
-167, 33
Factor -6728*m**2/3 + 776504*m/3 - 22404818/3.
-2*(58*m - 3347)**2/3
What is w in 4*w**2 - 101044*w - 101048 = 0?
-1, 25262
Suppose -20*c**4 - 424*c**3 - 204*c**2 + 3880*c - 3232 = 0. What is c?
-101/5, -4, 1, 2
Factor 2*r**4/11 + 113336*r**3/11 + 1605744444*r**2/11 + 3211148888*r/11 + 1605517778/11.
2*(r + 1)**2*(r + 28333)**2/11
Let -15*s**5 - 174*s**4 + 402*s**3 + 1488*s**2 - 2403*s + 702 = 0. What is s?
-13, -3, 2/5, 1, 3
Factor 3*o**3 + 13608*o**2 + 951255*o + 937650.
3*(o + 1)*(o + 70)*(o + 4465)
Factor -m**4/4 - 437*m**3 - 251340*m**2 - 45601100*m + 1129584500.
-(m - 22)*(m + 590)**3/4
What is f in -5*f**4 + 1000*f**3 - 3860*f**2 - 11760*f = 0?
-2, 0, 6, 196
Factor 2*p**2 + 711332*p + 63249151778.
2*(p + 177833)**2
Determine r, given that r**4 + 2666*r**3 + 2665*r**2 = 0.
-2665, -1, 0
What is l in -l**3 + 1310*l**2 + 29327*l - 30636 = 0?
-23, 1, 1332
Determine y, given that 3*y**3 - 2016*y**2 + 6027*y - 4014 = 0.
1, 2, 669
Find h, given that -2000*h**5 - 23100*h**4 - 77760*h**3 - 94392*h**2 - 47952*h - 8748 = 0.
-27/4, -3, -3/5
Factor w**4/3 - 76*w**3/3 + 349*w**2/3 + 142*w.
w*(w - 71)*(w - 6)*(w + 1)/3
Factor 5*r**2 + 17825*r - 1794870.
5*(r - 98)*(r + 3663)
Solve -y**4/5 + 12148*y**3/5 - 36905622*y**2/5 + 73774804*y/5 - 36881329/5 = 0 for y.
1, 6073
Solve 4*f**5/3 + 827*f**4/3 - 1189*f**3 + 4216*f**2/3 - 844*f/3 = 0.
-211, 0, 1/4, 2
Solve 2*c**4 - 1014*c**3 + 93960*c**2 - 3195936*c + 37231488 = 0.
36, 399
What is b in 5*b**5 + 2545*b**4 - 18005*b**3 + 28355*b**2 - 12900*b = 0?
-516, 0, 1, 5
Factor -r**4 - 47*r**3 - 566*r**2 - 520*r.
-r*(r + 1)*(r + 20)*(r + 26)
Factor 2*x**2/5 - 21748*x.
2*x*(x - 54370)/5
Factor 5*h**3 + 4195*h**2 + 686840*h.
5*h*(h + 223)*(h + 616)
Factor -3*p**3 - 285*p**2 + 8862*p - 16560.
-3*(p - 23)*(p - 2)*(p + 120)
Let m**4 - 6914*m**3 + 11992161*m**2 - 142471084*m - 762201664 = 0. What is m?
-4, 16, 3451
Solve -2*x**5/3 + 26*x**4 - 206*x**3/3 - 122*x**2 + 208*x/3 + 96 = 0 for x.
-1, 1, 4, 36
Factor -2*n**2/5 - 10176*n - 64719360.
-2*(n + 12720)**2/5
Factor 4*q**3 - 295772*q**2 + 5467419360*q + 5467715136.
4*(q - 36972)**