 - 15960*y**2 + 166060*y = 0.
0, 23, 38
Let 4*h**5/7 - 24*h**4/7 - 128*h**3/7 + 384*h**2/7 + 1024*h/7 = 0. Calculate h.
-4, -2, 0, 4, 8
Determine k, given that k**5/3 + 3962*k**4/3 - 1321*k**3 = 0.
-3963, 0, 1
Find a such that -2*a**5/17 + 104*a**4/17 + 2504*a**3/17 + 13684*a**2/17 + 6714*a/17 - 23004/17 = 0.
-9, -2, 1, 71
Factor 6*s**2/11 + 424010*s/11 + 141336/11.
2*(s + 70668)*(3*s + 1)/11
Factor -4*w**4 + 68*w**3 + 316*w**2 + 412*w + 168.
-4*(w - 21)*(w + 1)**2*(w + 2)
Factor -1434818*h**5 - 7163926*h**4 + 50802*h**3 - 90*h**2.
-2*h**2*(h + 5)*(847*h - 3)**2
Factor 88*b**3 - 908*b**2 + 1552*b - 732.
4*(b - 1)**2*(22*b - 183)
Suppose 21131*g**2/2 - 63403*g/2 + 15 = 0. Calculate g.
10/21131, 3
What is c in -c**3/7 + 1926*c**2/7 - 933120*c/7 + 5529600/7 = 0?
6, 960
Factor 4*q**2 + 1488*q - 56980.
4*(q - 35)*(q + 407)
Solve 2*d**3/5 - 116*d**2/5 - 4968*d/5 + 58320 = 0.
-50, 54
Factor l**2 - 23464*l + 304863.
(l - 23451)*(l - 13)
Suppose -24*u**4/5 + 534*u**3/5 + 15996*u**2/5 - 363456*u/5 + 89856/5 = 0. Calculate u.
-26, 1/4, 24
Factor k**3/3 - 16189*k**2/3 + 5396*k.
k*(k - 16188)*(k - 1)/3
Suppose y**2/4 - 9395*y + 88266025 = 0. Calculate y.
18790
Suppose -16*f**5/21 - 7858*f**4/21 + 22730*f**3/21 + 2900*f**2/21 - 31624*f/21 - 3952/21 = 0. What is f?
-494, -1, -1/8, 2
Let 3*k**4 + 87*k**3 - 2736*k**2 = 0. What is k?
-48, 0, 19
What is j in 2*j**2 - 982952*j + 120774329288 = 0?
245738
Suppose -p**4/7 - p**3/7 + 2*p**2/7 = 0. Calculate p.
-2, 0, 1
What is k in -3*k**2 + 474*k - 9975 = 0?
25, 133
Suppose -27*n**5 - 13950*n**4 - 2004411*n**3 - 52644252*n**2 - 462827520*n - 1133740800 = 0. Calculate n.
-243, -40/3, -4
What is o in -o**4/10 + 57*o**3/10 - 7*o**2/2 - 1221*o/10 + 252 = 0?
-5, 3, 56
Factor -s**2/3 - 2464*s - 29520.
-(s + 12)*(s + 7380)/3
Solve 2*q**4 - 12*q**3 - 14*q**2 + 192*q - 288 = 0 for q.
-4, 3, 4
Factor -3*w**5 - 114*w**4 + 237*w**3 - 120*w**2.
-3*w**2*(w - 1)**2*(w + 40)
Factor -x**2/6 + 232*x/3 + 33640/3.
-(x - 580)*(x + 116)/6
What is p in 2*p**4 - 6200*p**3 + 4465164*p**2 + 526745800*p + 14436063362 = 0?
-53, 1603
Factor 7*b**4/9 - 2584*b**3 + 6439697*b**2/3 - 5517842*b/9.
b*(b - 1661)**2*(7*b - 2)/9
Suppose -4*k**2 - 36792*k + 36796 = 0. What is k?
-9199, 1
Let -o**2 - 45202*o - 510805201 = 0. Calculate o.
-22601
Factor 5*f**2 - 833680*f + 3334640.
5*(f - 166732)*(f - 4)
Suppose 80*s**2 + 256722*s + 6418 = 0. What is s?
-3209, -1/40
Factor -2*g**2 - 8100*g + 8102.
-2*(g - 1)*(g + 4051)
Factor a**3/10 + 12*a**2 + 2343*a/10 + 5432/5.
(a + 7)*(a + 16)*(a + 97)/10
Factor -3987*p**3/4 - 425*p**2/2 + 2*p.
-p*(9*p + 2)*(443*p - 4)/4
Suppose 2*z**5/5 + 824*z**4/15 - 21632*z**3/15 + 12892*z**2 - 148430*z/3 + 209300/3 = 0. Calculate z.
-161, 5, 26/3
Factor -3*z**3 - 95391*z**2 - 95388*z.
-3*z*(z + 1)*(z + 31796)
Factor -2*r**3/13 - 57848*r**2/13 - 419280570*r/13 - 14188745700/13.
-2*(r + 34)*(r + 14445)**2/13
Determine y so that 7*y**5 - 262*y**4 - 1009*y**3 - 668*y**2 + 492*y = 0.
-2, 0, 3/7, 41
Suppose 2*u**3/7 - 3144*u**2/7 + 3102*u/7 + 62840/7 = 0. What is u?
-4, 5, 1571
Factor 85*w**3 - 1085*w**2 + 2695*w + 5145.
5*(w - 7)**2*(17*w + 21)
Factor 605*b**3 - 104995*b**2 + 1056760*b - 2741660.
5*(b - 163)*(11*b - 58)**2
Solve 19359*a**3/7 - 7227*a**2/7 + 344*a/7 + 68/7 = 0.
-17/239, 2/9
Factor 4*h**2 - 9120*h - 18256.
4*(h - 2282)*(h + 2)
Let 3*j**5/2 + 183*j**4/2 + 1701*j**3 + 8346*j**2 - 10140*j = 0. What is j?
-26, -10, 0, 1
Find v such that v**4/4 - 97*v**3 - 6387*v**2/4 - 15505*v/2 - 9898 = 0.
-7, -2, 404
Solve 2*n**2/13 + 37456*n/13 - 37458/13 = 0.
-18729, 1
Find a such that a**3 - 5464*a**2/3 - 36548*a/3 - 7312 = 0.
-6, -2/3, 1828
Find b such that -4*b**4 + 224*b**3 + 6096*b**2 - 896*b - 24320 = 0.
-20, -2, 2, 76
Find l such that l**5/7 - 3461*l**4/7 + 6917*l**3/7 + 3461*l**2/7 - 6918*l/7 = 0.
-1, 0, 1, 2, 3459
Factor 5*k**2 - 3270210*k + 534713672205.
5*(k - 327021)**2
What is k in -3*k**2/7 - 9384*k/7 - 7338288/7 = 0?
-1564
Solve -92*b**4/9 + 4700*b**3/9 - 24604*b**2/9 - 26876*b/9 + 280 = 0 for b.
-1, 2/23, 7, 45
Solve -m**5 + 11*m**4 + 2050*m**3 - 29060*m**2 + 124296*m - 148896 = 0.
-47, 2, 6, 44
Factor o**2/2 - 41009*o/2 + 20504.
(o - 41008)*(o - 1)/2
Determine g so that 2*g**4/13 - 10*g**3/13 - 3350*g**2/13 + 32770*g/13 - 29412/13 = 0.
-43, 1, 9, 38
Factor -3*z**2 + 49776*z + 149355.
-3*(z - 16595)*(z + 3)
Factor 2*s**2/13 - 432*s/13 + 856/13.
2*(s - 214)*(s - 2)/13
Factor z**2/5 + 486*z/5 - 487/5.
(z - 1)*(z + 487)/5
Find s such that -5*s**4 + 2600*s**3 - 52170*s**2 - 112160*s - 57385 = 0.
-1, 23, 499
Let 2*q**2/15 + 298*q/5 + 888/5 = 0. What is q?
-444, -3
Solve -5*j**2/4 + 7045*j/4 + 5295 = 0 for j.
-3, 1412
Solve -4*y**2 - 1200*y + 29716 = 0.
-323, 23
Determine m, given that -16*m**4 + 976*m**3 - 15828*m**2 + 28792*m - 13924 = 0.
1, 59/2
Suppose 20*y**4 + 5755*y**3 + 64800*y**2 - 16560*y = 0. What is y?
-276, -12, 0, 1/4
Let -5*v**4 - 415*v**3 - 6975*v**2 + 70875*v = 0. What is v?
-45, 0, 7
Find y, given that -y**5 - 499*y**4 - 64918*y**3 - 661648*y**2 - 794464*y + 4762880 = 0.
-244, -8, -5, 2
Factor 4*h**2/3 + 3080*h - 37024/3.
4*(h - 4)*(h + 2314)/3
Factor 3*u**2 - 41064*u + 205245.
3*(u - 13683)*(u - 5)
Determine z so that 5*z**3 + 825*z**2 - 16580*z - 380100 = 0.
-181, -14, 30
Let 81*a**5/2 + 18*a**4 - 725*a**3/2 - 162*a**2 - 18*a = 0. Calculate a.
-3, -2/9, 0, 3
Suppose 3*t**4 + 120*t**3 - 297*t**2 - 1890*t = 0. Calculate t.
-42, -3, 0, 5
Determine s, given that -s**5/5 + 97*s**4/5 + 61*s**3 - 497*s**2/5 - 304*s/5 + 80 = 0.
-4, -1, 1, 100
Factor -388*m**2 + 43076*m - 888.
-4*(m - 111)*(97*m - 2)
Factor -2*l**2 - 23574*l.
-2*l*(l + 11787)
Factor -g**3/4 - 10563*g**2 - 446772285*g/4 - 4904275475/2.
-(g + 22)*(g + 21115)**2/4
Let -2*y**4 - 600*y**3 - 44998*y**2 + 600*y + 45000 = 0. Calculate y.
-150, -1, 1
Find s, given that -3*s**4 + 10806*s**3 - 9741603*s**2 + 19450800*s - 9720000 = 0.
1, 1800
Factor 4*t**2/9 - 1000*t + 559616/9.
4*(t - 2186)*(t - 64)/9
Suppose -3*l**5/5 + 348*l**4/5 + 2937*l**3/5 + 4926*l**2/5 - 10944*l/5 - 26784/5 = 0. Calculate l.
-4, -3, 2, 124
Determine o, given that -3*o**2 - 45858*o - 175246347 = 0.
-7643
Let -3*l**2/4 + 618*l - 2469/4 = 0. What is l?
1, 823
Factor -2*n**4 + 526*n**3 + 17130*n**2 + 131850*n.
-2*n*(n - 293)*(n + 15)**2
What is t in 16*t**2 + 22020*t + 5504 = 0?
-1376, -1/4
Factor -2*g**2/15 + 746*g/15 + 9416/3.
-2*(g - 428)*(g + 55)/15
Determine p so that 2*p**2 - 111914*p + 559520 = 0.
5, 55952
Suppose 69*w**5/5 - 87*w**4/5 - 519*w**3/5 + 87*w**2/5 + 90*w = 0. Calculate w.
-2, -1, 0, 1, 75/23
Factor s**4/7 - 39*s**3/7 - 6*s**2 + 80*s/7.
s*(s - 40)*(s - 1)*(s + 2)/7
Factor s**4/4 + 523*s**3/4 + 66525*s**2/4 - 486275*s/4 + 351125/2.
(s - 5)*(s - 2)*(s + 265)**2/4
What is s in s**2/4 + 22289*s/4 - 22291/2 = 0?
-22291, 2
Factor -3*q**3/7 - 879*q**2/7 + 3555*q/7 - 2673/7.
-3*(q - 3)*(q - 1)*(q + 297)/7
Find h, given that -2356*h**4 - 4696*h**3 + 7100*h**2 - 48*h = 0.
-3, 0, 4/589, 1
Factor j**3/6 + 187369*j**2/6 + 374732*j/3 + 124910.
(j + 2)**2*(j + 187365)/6
What is g in -g**3/6 + 28559*g**2/6 + 42842*g/3 + 28562/3 = 0?
-2, -1, 28562
Solve 3*z**2/7 + 96*z/7 - 204/7 = 0 for z.
-34, 2
Let 5*h**5 + 10*h**4 - 330*h**3 - 40*h**2 + 925*h + 630 = 0. What is h?
-9, -1, 2, 7
Factor y**3/7 - 289*y**2/7 - 6201*y/7 + 927.
(y - 309)*(y - 1)*(y + 21)/7
Factor i**2 + 5283*i + 15840.
(i + 3)*(i + 5280)
Let h**2/5 - 77282*h/5 + 1493126881/5 = 0. What is h?
38641
Solve 25*w**2 + 16315*w + 74520 = 0.
-648, -23/5
Determine h so that 13*h**4 - 23186*h**3 - 10704*h**2 = 0.
-6/13, 0, 1784
Let -52*n**4/11 + 178*n**3/11 + 692*n**2/11 + 642*n/11 + 180/11 = 0. What is n?
-1, -15/26, 6
Solve o**4/3 - 19*o**3 - 374*o**2 + 116756*o/3 - 589560 = 0 for o.
-45, 34
Suppose -x**5 - 18*x**4 + 40*x**3 - 2*x**2 - 39*x + 20 = 0. What is x?
-20, -1, 1
Factor 5*p**3 - 7000*p**2 - 35105*p - 28100.
5*(p - 1405)*(p + 1)*(p + 4)
Factor -5*z**2 - 55*z + 26860.
-5*(z - 68)*(z + 79)
Let 882*q**5 + 45696*q**4 + 741854*q**3 + 3738248*q**2 - 732392*q + 35200 = 0. Calculate q.
-25, -16, -11, 2/21
Factor 2*k**2/13 + 2500*k/13 - 272902/13.
2*(k - 101)*(k + 1351)/13
Factor 4*s**3 - 688*s**2 - 44556*s + 8747640.
4*(s - 141)**2*(s + 110)
Factor -h**3 + 737*h**2 + 3704*h + 4452.
-(h - 742)*(h + 2)*(h + 3)
Determine r, given tha