- 35)/5
Factor 14*t**4/13 - 288*t**3/13 - 126*t**2/13.
2*t**2*(t - 21)*(7*t + 3)/13
Find j, given that 5*j**4 + 640*j**3 + 14040*j**2 - 64000*j + 66640 = 0.
-98, -34, 2
Factor -1843585969*o**2/2 - 85874*o - 2.
-(42937*o + 2)**2/2
Determine p so that -p**3 - 273*p**2 = 0.
-273, 0
Factor -5*m**2 - 21900*m + 21905.
-5*(m - 1)*(m + 4381)
Find k, given that -3*k**3/5 - 139209*k**2/5 - 278409*k/5 - 139203/5 = 0.
-46401, -1
Factor -20*u**2 + 592712*u - 592692.
-4*(u - 1)*(5*u - 148173)
Factor 5*x**2 + 16710*x + 166600.
5*(x + 10)*(x + 3332)
What is c in 5*c**2 - 2915*c - 17670 = 0?
-6, 589
Determine c so that -2*c**4/3 + 154*c**3/3 + 4814*c**2/3 + 29510*c/3 - 11492 = 0.
-13, 1, 102
Factor 4*d**5/7 + 2020*d**4/7 + 4028*d**3/7 + 2012*d**2/7.
4*d**2*(d + 1)**2*(d + 503)/7
Find n, given that -n**5/6 + 157*n**4/6 - 377*n**3/3 - 152*n**2 = 0.
-1, 0, 6, 152
Factor 77*p**2 + 8315*p/3 - 12.
(p + 36)*(231*p - 1)/3
Factor 2*l**2/9 + 4328*l - 194810/9.
2*(l - 5)*(l + 19481)/9
Factor -123*d**2/7 + 118197*d/7 + 5766/7.
-3*(d - 961)*(41*d + 2)/7
Solve -4*s**5/3 + 4*s**4/3 + 37204*s**3/3 + 1318028*s**2/3 - 965440*s - 1392384 = 0 for s.
-56, -1, 3, 111
Suppose 5*p**3 - 2350*p**2 + 7005*p = 0. Calculate p.
0, 3, 467
Let 36*z**5 - 10664*z**4 + 12700*z**3 + 83096*z**2 - 146416*z + 28320 = 0. What is z?
-3, 2/9, 2, 295
Let -k**2/5 - 9387*k/5 - 97084 = 0. What is k?
-9335, -52
Suppose 27*w**3 + 1893*w**2 - 1707*w - 213 = 0. What is w?
-71, -1/9, 1
Let -x**5 + 925*x**4 + 5573*x**3 + 12091*x**2 + 11168*x + 3724 = 0. What is x?
-2, -1, 931
Factor -80*x**3 + 38040*x**2 + 211035*x + 291005.
-5*(x - 481)*(4*x + 11)**2
Suppose 5*a**2 - 72280*a + 261219920 = 0. Calculate a.
7228
Find o, given that -58*o**2/9 + 994*o/9 - 136/9 = 0.
4/29, 17
Solve -8*s**2 + 9154*s - 11430 = 0.
5/4, 1143
Find z such that z**2/7 + 223*z/7 + 442/7 = 0.
-221, -2
Find k such that 2*k**3/3 - 5894*k**2/3 + 4368806*k/3 - 12947766 = 0.
9, 1469
Let 2*j**4/21 + 302*j**3/21 + 1166*j**2/21 - 70*j = 0. Calculate j.
-147, -5, 0, 1
Suppose -2*p**2 - 13842*p - 372276 = 0. Calculate p.
-6894, -27
Suppose 4*l**2/5 - 1868*l/5 - 1888 = 0. Calculate l.
-5, 472
Solve -2*i**2/5 - 1078*i/5 + 216 = 0 for i.
-540, 1
Solve 3*i**4 - 2279*i**3 + 8328*i**2 - 9076*i + 3024 = 0 for i.
2/3, 1, 2, 756
Factor p**4/5 - 2*p**3 - 256*p**2/5 + 512*p.
p*(p - 16)*(p - 10)*(p + 16)/5
Determine b, given that -13396*b**2 + 40184*b + 12 = 0.
-1/3349, 3
Factor 15*o**3 + 20022*o**2 + 36003*o + 15996.
3*(o + 1)*(o + 1333)*(5*o + 4)
Factor -4*v**2/3 + 104840*v - 2060892300.
-4*(v - 39315)**2/3
Solve m**3 - 27604*m**2 - 220880*m - 441792 = 0.
-4, 27612
Suppose 26*k**3 + 8252*k**2 + 652218*k - 404496 = 0. Calculate k.
-159, 8/13
Factor -6*u**3/5 + 15336*u**2/5 - 30654*u/5 + 15324/5.
-6*(u - 2554)*(u - 1)**2/5
Let -f**5/2 - 69*f**4/2 + 1068*f**3 + 81838*f**2 + 80736*f = 0. What is f?
-58, -1, 0, 48
Find c such that -c**2/3 + 84*c + 2893/3 = 0.
-11, 263
Factor 2*m**3/3 + 302*m**2/3 + 1136*m + 3336.
2*(m + 6)**2*(m + 139)/3
Factor -2*r**2/7 - 29100*r/7 - 29098/7.
-2*(r + 1)*(r + 14549)/7
Find p such that 3*p**4/7 + 15*p**3 - 2400*p**2/7 + 12780*p/7 - 16848/7 = 0.
-52, 2, 6, 9
Factor 5*l**5 + 4735*l**4 + 32990*l**3 + 84700*l**2 + 94040*l + 37600.
5*(l + 1)*(l + 2)**3*(l + 940)
Find y, given that 3*y**5 - 108*y**4 + 1500*y**3 - 9882*y**2 + 29889*y - 30618 = 0.
2, 7, 9
Solve -679*b**2/3 + 6564*b - 29/3 = 0 for b.
1/679, 29
What is h in -h**2/10 + 10098*h/5 - 4039/2 = 0?
1, 20195
Factor -2*x**2/21 + 4870*x/21 + 115184/7.
-2*(x - 2504)*(x + 69)/21
Determine b, given that -2*b**2 - 465504*b - 465502 = 0.
-232751, -1
Factor -3*d**3 + 71670*d**2 + 1147296*d + 4589952.
-3*(d - 23906)*(d + 8)**2
Factor -n**3 - 272*n**2 + 4291*n - 4018.
-(n - 14)*(n - 1)*(n + 287)
Let -y**5/7 - 85*y**4/7 - 1625*y**3/7 + 5485*y**2/7 - 3774*y/7 = 0. What is y?
-51, -37, 0, 1, 2
Solve u**2/5 - 388*u/5 - 1173/5 = 0.
-3, 391
Factor 5*m**2 - 126000*m.
5*m*(m - 25200)
Factor -5*y**2 - 650*y - 12305.
-5*(y + 23)*(y + 107)
Solve 2*c**4 - 8*c**3 - 206*c**2 - 412*c + 624 = 0.
-6, -4, 1, 13
Solve -3*a**5/4 + 19317*a**4/4 + 212889*a**3/4 - 251517*a**2/4 - 106443*a/2 + 58050 = 0.
-12, -1, 1, 6450
Determine x so that -78*x**4 - 2866*x**3/7 + 6032*x**2/7 + 21768*x/7 + 288 = 0.
-6, -28/13, -2/21, 3
Factor 4*i**3 + 732*i**2 + 44064*i + 869312.
4*(i + 47)*(i + 68)**2
Solve 3*x**5 - 75*x**3 + 180*x**2 - 108*x = 0.
-6, 0, 1, 2, 3
Factor -3*z**3 - 1821*z**2 - 10833*z - 9015.
-3*(z + 1)*(z + 5)*(z + 601)
Solve h**5/4 + 147*h**4/4 - 533*h**3/2 + 463*h**2 + 150*h - 616 = 0 for h.
-154, -1, 2, 4
Factor -4*p**2/7 + 18356*p/7 - 36696/7.
-4*(p - 4587)*(p - 2)/7
Solve -9*g**4/4 + 321*g**3/2 - 213*g**2/4 = 0.
0, 1/3, 71
Factor 5*q**4 + 19960*q**3 + 26533440*q**2 + 11709878400*q - 47265327360.
5*(q - 4)*(q + 1332)**3
Determine u, given that -8*u**5/9 + 4736*u**4/9 - 656498*u**3/9 - 13311454*u**2/9 - 12816710*u/9 - 3162850/9 = 0.
-17, -1/2, 305
Suppose -20*t**4 - 26755*t**3 + 53610*t**2 + 26755*t - 53590 = 0. Calculate t.
-5359/4, -1, 1, 2
Factor -3*q**2 + 1615722*q - 217546465107.
-3*(q - 269287)**2
Find s, given that -3*s**4/7 - 6798*s**3/7 - 67716*s**2/7 - 81000*s/7 + 487296/7 = 0.
-2256, -6, 2
What is k in -2*k**4/15 - 236*k**3/15 - 682*k**2/15 + 184*k/3 = 0?
-115, -4, 0, 1
Find n such that 5*n**5 + 200*n**4 - 2260*n**3 - 2650*n**2 + 2255*n + 2450 = 0.
-49, -1, 1, 10
Let 5*i**4 + 8955*i**3 - 17930*i**2 = 0. Calculate i.
-1793, 0, 2
Factor -2*d**2/5 - 728*d/5 - 576.
-2*(d + 4)*(d + 360)/5
Factor -g**2 - 123*g + 6318.
-(g - 39)*(g + 162)
Solve 2*f**5/5 + 4736*f**4/5 + 2770364*f**3/5 - 39484032*f**2/5 + 139011138*f/5 = 0.
-1191, 0, 7
Let -3*z**3 - 99*z**2 - 432*z - 336 = 0. What is z?
-28, -4, -1
Determine y so that -4*y**5/5 + 4096*y**4/5 - 1112064*y**3/5 + 32505856*y**2/5 - 251920384*y/5 = 0.
0, 16, 496
Factor 45*f**2 + 67970*f - 136120.
5*(f - 2)*(9*f + 13612)
Determine l, given that -10*l**4 + 1572*l**3 - 82264*l**2 + 1438140*l - 284350 = 0.
1/5, 47, 55
Suppose 4*z**4/5 - 744*z**3/5 - 764*z**2 = 0. What is z?
-5, 0, 191
Factor -w**3/3 + 46*w**2 + 709*w/3 + 286.
-(w - 143)*(w + 2)*(w + 3)/3
Factor p**2/8 + 24365*p/4 + 24363.
(p + 4)*(p + 48726)/8
Let 36*l**5 - 4*l**4 - 2376*l**3 + 4872*l**2 - 2780*l + 252 = 0. Calculate l.
-9, 1/9, 1, 7
Factor -w**3/6 + 193*w**2/6 + 100*w/3 - 194.
-(w - 194)*(w - 2)*(w + 3)/6
Factor s**3/11 + 2078*s**2/11 + 98515*s + 4301476/11.
(s + 4)*(s + 1037)**2/11
Factor -5*w**2 + 38045*w - 114090.
-5*(w - 7606)*(w - 3)
Determine v, given that -29729712*v**2 - 396648*v - 1323 = 0.
-21/3148
Let -k**4/9 - 40*k**3/9 - 257*k**2/9 + 2938*k/9 - 880/3 = 0. Calculate k.
-24, -22, 1, 5
Factor 4*r**3 - 376*r**2 + 8796*r - 8424.
4*(r - 54)*(r - 39)*(r - 1)
Find g, given that -209*g**2/7 + 13382*g/7 - 384/7 = 0.
6/209, 64
Solve -2*r**3 - 3258*r**2 - 16248*r - 12992 = 0.
-1624, -4, -1
Factor -h**4 - 1575*h**3 - 14121*h**2 - 42309*h - 42282.
-(h + 3)**3*(h + 1566)
Factor t**4/6 - 62573*t**3/6 + 435056163*t**2/2 - 9075706449487*t/6 + 9073096362793/3.
(t - 20857)**3*(t - 2)/6
Find a such that a**2/2 - 365850*a + 66923111250 = 0.
365850
Suppose 2*z**2/17 - 80120*z/17 + 802401800/17 = 0. Calculate z.
20030
Let 3*d**3/4 + 70989*d**2/2 + 1679812707*d/4 = 0. Calculate d.
-23663, 0
Suppose -2*k**5 - 18*k**4 + 14*k**3 + 410*k**2 + 300*k - 2000 = 0. What is k?
-5, 2, 4
Determine j so that -j**3 - 5363*j**2 = 0.
-5363, 0
Find i, given that -20*i**3 - 368*i**2 - 1744*i - 640 = 0.
-10, -8, -2/5
Find n such that -74*n**3 + 293*n**2/3 - 11*n/9 - 14 = 0.
-1/3, 18/37, 7/6
Let -2*f**5 + 124*f**4/5 - 318*f**3/5 + 68*f**2/5 + 376*f/5 - 144/5 = 0. Calculate f.
-1, 2/5, 2, 9
Suppose 4*z**2 + 485520*z + 485516 = 0. What is z?
-121379, -1
Factor 5*c**2/4 - 300*c - 11645.
5*(c - 274)*(c + 34)/4
Let 3*q**3/4 - 463*q**2/2 - 8895*q/4 - 1431/2 = 0. Calculate q.
-9, -1/3, 318
Solve -4*n**5 - 778*n**4/5 - 10102*n**3/5 - 47882*n**2/5 - 11622*n + 1260 = 0.
-15, -7, -2, 1/10
Solve -2*u**4/3 + 184*u**3/3 + 906*u**2 + 468*u - 5040 = 0.
-12, -3, 2, 105
Factor 2*g**5/13 - 8416*g**4/13 + 908496*g**3 - 5535140864*g**2/13 + 11023107232*g/13.
2*g*(g - 1402)**3*(g - 2)/13
Factor -y**2 - 6543*y - 6542.
-(y + 1)*(y + 6542)
Find p, given that -p**3 - 11343*p**2 - 11342*p = 0.
-11342, -1, 0
Suppose h**4/2 - 33*h**3/2 - 43*h**2/2 + 297*h/2 +