e 297*m**5 + 3852*m**4 + 9186*m**3 - 12312*m**2 + 4557*m - 540 = 0 for m.
-9, -5, 1/3, 4/11
Determine u so that -605*u**5 + 4873*u**4/3 + 32182*u**3/3 - 20100*u**2 + 21400*u/3 + 4000/3 = 0.
-4, -2/15, 10/11, 5
Factor 2*a**2/9 + 1244*a/9 + 190400/9.
2*(a + 272)*(a + 350)/9
Factor -49*y**3/3 - 35903*y**2/3 - 6630184*y/3 - 6522916.
-(y + 3)*(7*y + 2554)**2/3
Find u, given that 3*u**3/2 - 240336*u**2 + 19254278295*u/2 - 19253316963 = 0.
2, 80111
Determine q, given that -8*q**2/3 + 13870*q - 10402/3 = 0.
1/4, 5201
Solve -36*w**4 - 645*w**3 + 6966*w**2 + 128448*w - 10752 = 0.
-16, 1/12, 14
Factor -2*x**2 - 59880*x - 448201800.
-2*(x + 14970)**2
Factor d**3/2 - 6413*d**2 + 20569696*d - 41113744.
(d - 6412)**2*(d - 2)/2
What is x in 4*x**2 + 428*x + 2800 = 0?
-100, -7
Suppose -k**5/10 - 18*k**4/5 - 38*k**3 - 65*k**2 + 5181*k/10 - 2057/5 = 0. What is k?
-17, -11, 1, 2
Determine v, given that v**2/3 + 437*v/3 + 11452/3 = 0.
-409, -28
Solve -3*n**3 + 369*n**2 + 131520*n - 264492 = 0.
-158, 2, 279
Factor -5*o**2 - 3930*o - 772245.
-5*(o + 393)**2
Factor y**5 - 651*y**4 + 647*y**3 + 1955*y**2 - 3252*y + 1300.
(y - 650)*(y - 1)**3*(y + 2)
Factor -2*n**4 + 246*n**3 - 484*n**2.
-2*n**2*(n - 121)*(n - 2)
Factor -o**4/3 + 1130*o**3/3 - 143232*o**2 + 56486374*o/3 - 570846287/3.
-(o - 373)**3*(o - 11)/3
Factor -5*b**3 + 39230*b**2 - 76988860*b + 153820840.
-5*(b - 3922)**2*(b - 2)
What is j in -4*j**4 + 14156*j**3 - 16778808*j**2 + 6753552400*j - 110030529632 = 0?
17, 1174
Factor 2*o**3/17 + 28*o**2/17 - 4430*o/17 + 4400/17.
2*(o - 40)*(o - 1)*(o + 55)/17
Find j such that 2*j**3/13 - 480*j**2/13 - 462*j + 121484/13 = 0.
-22, 11, 251
Factor 2*g**4 + 10*g**3 - 82*g**2 - 90*g.
2*g*(g - 5)*(g + 1)*(g + 9)
Suppose -u**5 + 23*u**4 - 31*u**3 - 943*u**2 + 1112*u + 10640 = 0. Calculate u.
-4, 5, 7, 19
Determine y so that y**4 + 110*y**3 - 815*y**2 + 480*y + 1404 = 0.
-117, -1, 2, 6
Solve -n**3/3 + 1900*n**2/3 - 963632*n/3 + 57055808/3 = 0 for n.
68, 916
Factor -b**3/2 + 291*b**2/2 - 433*b + 288.
-(b - 288)*(b - 2)*(b - 1)/2
Factor c**2 - 4097*c + 12282.
(c - 4094)*(c - 3)
Determine o so that 2*o**3/7 - 2448*o**2 - 34278*o/7 - 17140/7 = 0.
-1, 8570
Find z such that -2*z**4/13 - 172*z**3/13 - 984*z**2/13 - 1936*z/13 - 1280/13 = 0.
-80, -2
Factor m**2 + 86*m + 1408.
(m + 22)*(m + 64)
Factor 1208*i**2/5 + 5974*i/25 - 66/25.
2*(i + 1)*(3020*i - 33)/25
Find j, given that -4*j**5 + 8*j**4 + 116*j**3 - 88*j**2 - 832*j - 640 = 0.
-4, -2, -1, 4, 5
Determine b so that -4*b**2 - 2805048*b - 491768392644 = 0.
-350631
Factor -5*x**4 + 40*x**3 + 50*x**2 - 40*x - 45.
-5*(x - 9)*(x - 1)*(x + 1)**2
Find g, given that -2*g**5/5 - 232*g**4/5 - 5964*g**3/5 + 9272*g**2 + 52094*g/5 = 0.
-61, -1, 0, 7
Factor 4*x**2/3 - 202400*x/3 + 2560360000/3.
4*(x - 25300)**2/3
Factor 3*w**2 + 2235726*w + 416539228923.
3*(w + 372621)**2
Factor -a**3 - 4146*a**2 + 83284*a - 149976.
-(a - 18)*(a - 2)*(a + 4166)
Suppose 2*l**2/11 + 1938*l/11 - 5832/11 = 0. Calculate l.
-972, 3
Factor -g**3 + 57*g**2 + 874*g + 2520.
-(g - 70)*(g + 4)*(g + 9)
Determine i so that -20*i**2 - 100825*i - 25205 = 0.
-5041, -1/4
Suppose 3*a**2 - 31512*a - 31515 = 0. What is a?
-1, 10505
Factor 20*w**2 - 217676*w + 174128.
4*(w - 10883)*(5*w - 4)
Determine a, given that -5*a**2 + 362955*a + 362960 = 0.
-1, 72592
Solve 2*a**2/3 + 14480*a/3 + 26208800/3 = 0.
-3620
Factor s**4/5 - 206*s**3/5 - 631*s**2/5 + 836*s/5.
s*(s - 209)*(s - 1)*(s + 4)/5
Factor -3*y**3/7 + 234*y**2/7 - 5643*y/7 + 43320/7.
-3*(y - 40)*(y - 19)**2/7
Solve 4*s**4/3 - 541*s**3 + 2546*s**2 - 7613*s/3 - 802 = 0 for s.
-1/4, 2, 3, 401
What is f in 3*f**3 + 5121*f**2 = 0?
-1707, 0
Find t such that -t**3/4 - 526*t**2 + 10539*t/4 - 6327/2 = 0.
-2109, 2, 3
Factor o**3/4 + 1357*o**2/4 - 1359*o/2.
o*(o - 2)*(o + 1359)/4
Solve -z**5/3 - 10*z**4 + 1571*z**3/3 + 572*z**2 - 6268*z/3 - 2128 = 0 for z.
-57, -2, -1, 2, 28
Let 5*r**3 - 255*r**2 + 415*r + 3675 = 0. Calculate r.
-3, 5, 49
Factor 5*z**2 + 9020*z - 247185.
5*(z - 27)*(z + 1831)
Factor -3*z**3 - 1753*z**2 + 11827*z + 4137.
-(z - 7)*(z + 591)*(3*z + 1)
Solve 10*r**2 - 6866*r/3 - 916/3 = 0 for r.
-2/15, 229
Solve -4*v**4/7 - 4*v**3 + 2696*v**2/7 - 2448*v/7 - 15840/7 = 0 for v.
-30, -2, 3, 22
Factor 2*x**4 + 16246*x**3 - 195144*x**2 + 780832*x - 1041280.
2*(x - 4)**3*(x + 8135)
Factor 2*o**3 + 286*o**2 + 10628*o + 38064.
2*(o + 4)*(o + 61)*(o + 78)
Solve p**2/4 - 58485*p/4 - 43866 = 0 for p.
-3, 58488
Find z such that 4*z**4 - 11972*z**3 - 107980*z**2 - 276124*z - 180120 = 0.
-5, -3, -1, 3002
Find v such that -2*v**4/3 + 380*v**3/3 - 368*v**2/3 - 628*v - 378 = 0.
-1, 3, 189
Let -p**2 + 20438*p = 0. What is p?
0, 20438
Factor -a**4/11 - 6535*a**3/11 - 273294*a**2/11 - 3820628*a/11 - 17816792/11.
-(a + 14)**3*(a + 6493)/11
Suppose 120*b**4 + 652*b**3 + 396*b**2 - 2608*b - 3504 = 0. Calculate b.
-3, -73/30, -2, 2
Let -y**2 - 10660*y + 10661 = 0. What is y?
-10661, 1
Factor 5*k**4 + 1285*k**3 + 1275*k**2 - 1285*k - 1280.
5*(k - 1)*(k + 1)**2*(k + 256)
Solve -2*b**4/7 - 214*b**3/7 - 1412*b**2/7 - 1200*b/7 = 0 for b.
-100, -6, -1, 0
Let -3*d**2 + 224238*d - 4190223387 = 0. What is d?
37373
Solve 2*i**5 + 48*i**4 + 284*i**3 + 432*i**2 - 286*i - 480 = 0 for i.
-16, -5, -3, -1, 1
Factor h**4/5 + 299*h**3/5 + 23316*h**2/5 - 417136*h/5 - 76483904/5.
(h - 49)*(h + 116)**3/5
Solve 201*z**4/4 - 4569*z**3/4 + 11439*z**2/2 + 8856*z + 1944 = 0 for z.
-1, -18/67, 12
Factor 4*y**2 + 52776*y + 174081636.
4*(y + 6597)**2
Solve 2*n**3/7 - 596*n**2/7 + 8864*n/7 + 45120/7 = 0 for n.
-4, 20, 282
Determine s, given that 4*s**4 - 20*s**3 - 36*s**2 + 324*s - 432 = 0.
-4, 3
Factor -199*r**2/7 - 43496*r - 3060/7.
-(r + 1530)*(199*r + 2)/7
Factor -4*v**2/5 + 18*v - 90.
-2*(v - 15)*(2*v - 15)/5
Factor 5*w**2 + 27685*w - 27690.
5*(w - 1)*(w + 5538)
Determine f, given that -3*f**3 + 261*f**2 + 6834*f + 39240 = 0.
-12, -10, 109
Factor j**2/2 - 2645*j/2 + 11862.
(j - 2636)*(j - 9)/2
Suppose -2*a**5/17 + 294*a**4/17 - 4092*a**3/17 + 17656*a**2/17 - 30768*a/17 + 19008/17 = 0. Calculate a.
2, 9, 132
Solve -3*l**2/8 - 54*l - 3213/2 = 0 for l.
-102, -42
Factor -5*b**4 - 23570*b**3 - 3528180*b**2 - 178610670*b - 3025106055.
-5*(b + 51)**3*(b + 4561)
Factor -2*s**4 + 14*s**3 - 36*s**2 + 40*s - 16.
-2*(s - 2)**3*(s - 1)
Determine h so that 2*h**5 - 26*h**4 - 62*h**3 + 26*h**2 + 60*h = 0.
-2, -1, 0, 1, 15
Factor -3*z**2/7 - 996*z/7 + 10260/7.
-3*(z - 10)*(z + 342)/7
Factor 2*f**2/15 - 2004*f/5 + 1202/3.
2*(f - 3005)*(f - 1)/15
Solve 2*f**3/11 - 2*f**2 + 46*f/11 + 70/11 = 0 for f.
-1, 5, 7
Factor 4*h**2 + 2108*h - 8496.
4*(h - 4)*(h + 531)
Let -2*l**4/3 - 864*l**3 + 49810*l**2/3 - 70200*l - 263000/3 = 0. Calculate l.
-1315, -1, 10
Factor 21*k**2/5 + 2001*k/5 - 17352/5.
3*(k - 8)*(7*k + 723)/5
Determine p, given that p**5 + 360*p**4 + 1784*p**3 + 3202*p**2 + 2487*p + 710 = 0.
-355, -2, -1
Factor 3*q**3 - 399*q**2 - 12*q + 1596.
3*(q - 133)*(q - 2)*(q + 2)
Let 2*f**4 + 20640*f**3 + 53189236*f**2 - 319775568*f + 266565690 = 0. What is f?
-5163, 1, 5
Let a**5 + 282*a**4 + 19309*a**3 - 80652*a**2 + 81796*a = 0. What is a?
-143, 0, 2
Suppose -f**3/7 + 1236*f**2/7 - 33087*f + 230374/7 = 0. Calculate f.
1, 229, 1006
Factor 5*g**2 + 23417*g + 9366.
(g + 4683)*(5*g + 2)
Determine v, given that v**4 - 188*v**3 + 3795*v**2 = 0.
0, 23, 165
Let -1083*m**5 + 197448*m**4 - 56115*m**3 - 1108470*m**2 - 1273152*m - 419328 = 0. Calculate m.
-1, -16/19, 3, 182
Suppose 4*x**4 - 212*x**3 - 2820*x**2 + 90612*x - 458784 = 0. Calculate x.
-24, 9, 59
Factor -21*y**2 - 27462*y - 326520.
-3*(y + 12)*(7*y + 9070)
Let 4*p**2 - 145048*p + 1314932644 = 0. Calculate p.
18131
Find t, given that 14*t**4/19 - 1362*t**3/19 - 50376*t**2/19 - 34888*t/19 + 14112/19 = 0.
-28, -1, 2/7, 126
Suppose 2*p**3 - 494*p**2 + 10750*p - 10258 = 0. What is p?
1, 23, 223
Let -p**3/5 + 108*p**2 - 90288*p/5 + 4809024/5 = 0. What is p?
132, 276
Solve -20955*d**2 + 3186*d + 1272 = 0.
-2/11, 212/635
Factor 2*k**2/11 + 549534*k/11 - 549536/11.
2*(k - 1)*(k + 274768)/11
Factor 4*c**2 + 100960*c + 302844.
4*(c + 3)*(c + 25237)
Find k, given that -k**5 - 12*k**4 + 12*k**3 + 214*k**2 - 411*k + 198 = 0.
-11, -6, 1, 3
Solve -2*d**5/9 + 16*d**4/3 + 968*d**3/9 + 1204*d**2/3 + 170*d - 684 = 0.
-9, -3, 1, 38
Determine w so that -4*w**2 + 