5*(q - 22412)*(q - 10)
Factor 3*b**2/4 + 11745*b + 704025/4.
3*(b + 15)*(b + 15645)/4
Factor w**2/6 + 307*w/3 + 613/6.
(w + 1)*(w + 613)/6
Factor 34*k**3 + 370*k**2 + 568*k - 72.
2*(k + 2)*(k + 9)*(17*k - 2)
Factor -4*q**5 + 184*q**4 + 1872*q**3 + 5832*q**2 + 5940*q.
-4*q*(q - 55)*(q + 3)**3
Determine w, given that 4*w**4/7 + 2196*w**3/7 - 997512*w**2/7 - 78893440*w - 1100500608/7 = 0.
-524, -2, 501
Factor 3*q**3 - 405*q**2 + 312*q + 12060.
3*(q - 134)*(q - 6)*(q + 5)
Factor -s**2/5 - 957*s/5 + 30628/5.
-(s - 31)*(s + 988)/5
Factor s**4/4 + 603*s**3/4 + 8259*s**2/4 + 7657*s/4.
s*(s + 1)*(s + 13)*(s + 589)/4
Find l, given that 5*l**2 - 7720*l - 109060 = 0.
-14, 1558
Determine v, given that 5*v**5/6 - 1445*v**4/6 - 5945*v**3/2 - 22485*v**2/2 - 13545*v = 0.
-6, -3, 0, 301
Determine n so that n**2 - 60*n - 5824 = 0.
-52, 112
Factor -5*v**3 - 390*v**2 - 3835*v - 10050.
-5*(v + 5)*(v + 6)*(v + 67)
Suppose 5*z**3 - 8625*z**2 + 3732435*z - 11119815 = 0. What is z?
3, 861
Find n such that -2*n**4/9 + 74*n**3/9 + 502*n**2/3 + 366*n - 2808 = 0.
-9, 3, 52
Determine d, given that 2*d**5/11 + 218*d**4 + 712740*d**3/11 - 3657752*d**2/11 - 10147312*d/11 = 0.
-602, -2, 0, 7
Let i**3/2 - 1736*i**2 + 3017165*i/2 - 3010225 = 0. Calculate i.
2, 1735
Factor -7308*z**2 - 1041*z - 33.
-3*(21*z + 1)*(116*z + 11)
Factor 3*u**2/7 - 846*u/7 + 1608.
3*(u - 268)*(u - 14)/7
Solve -12*g**4/5 + 483*g**3/5 - 3087*g**2/5 - 2592*g/5 = 0 for g.
-3/4, 0, 9, 32
Suppose r**4 - 11617*r**3 + 11616*r**2 = 0. Calculate r.
0, 1, 11616
Determine a, given that -2*a**4/3 - 227*a**3/3 - 6145*a**2/3 + 17168*a/3 + 3364 = 0.
-58, -1/2, 3
Factor -2*w**2 - 5694232*w - 4053034758728.
-2*(w + 1423558)**2
Determine q so that -15*q**5/7 - 2781*q**4/7 - 14730*q**3/7 - 27108*q**2/7 - 19464*q/7 - 4320/7 = 0.
-180, -2, -1, -2/5
Factor 4*x**4/7 + 2456*x**3/7.
4*x**3*(x + 614)/7
Factor -2*j**2/7 - 186*j/7 - 520.
-2*(j + 28)*(j + 65)/7
Find s, given that 2*s**2 - 28912*s + 104487968 = 0.
7228
Factor 2*y**4 - 11556*y**3 + 16471634*y**2 + 638492112*y + 6105567008.
2*(y - 2908)**2*(y + 19)**2
Solve -34*p**3 + 8774*p**2/3 + 8702*p/3 - 58 = 0 for p.
-1, 1/51, 87
Let -3*m**3 + 4836*m**2 - 2284944*m + 257894592 = 0. What is m?
164, 724
What is y in -y**5 + 112*y**4 - 1236*y**3 + 3600*y**2 = 0?
0, 6, 100
Factor -4*c**3 - 56*c**2 - 76*c + 840.
-4*(c - 3)*(c + 7)*(c + 10)
Let -1162*b**5/11 - 47634*b**4/11 + 328*b**3/11 = 0. Calculate b.
-41, 0, 4/581
Factor -m**2/5 - 1611*m + 32236/5.
-(m - 4)*(m + 8059)/5
Factor -i**2/3 - 64*i + 17680/3.
-(i - 68)*(i + 260)/3
Let 956*a**3 + 2874*a**2 + 1930*a + 12 = 0. What is a?
-2, -1, -3/478
Suppose 5*c**4 + 2295*c**3 + 6795*c**2 - 20495*c + 11400 = 0. Calculate c.
-456, -5, 1
Suppose 3*c**5/4 - 1095*c**4/4 - 1392*c**3 + 1641*c**2 + 8904*c - 8880 = 0. What is c?
-4, 1, 2, 370
Suppose -2*x**3/15 + 24*x**2 + 7016*x/15 + 7392/5 = 0. What is x?
-14, -4, 198
Factor 2*l**3/3 + 12850*l**2/3 - 25706*l/3 + 12854/3.
2*(l - 1)**2*(l + 6427)/3
Determine c so that 3*c**3 - 3774*c**2 + 273828*c - 5120424 = 0.
38, 1182
Factor 2*h**3 + 15382*h**2 + 46132*h + 30752.
2*(h + 1)*(h + 2)*(h + 7688)
Let -3*b**4 - 2253*b**3 - 529032*b**2 - 39762000*b = 0. Calculate b.
-375, -188, 0
Solve -125*b**5/9 + 19900*b**4/9 + 694705*b**3/3 - 2519962*b**2/9 + 1010516*b/9 - 44968/3 = 0 for b.
-73, 2/5, 231
Find n, given that -3*n**3 + 390*n**2 + 5619*n - 6006 = 0.
-14, 1, 143
Factor -2*l**2/3 - 1224308*l/3 - 187366259858/3.
-2*(l + 306077)**2/3
Factor -17191*u**2/10 + u/10.
-u*(17191*u - 1)/10
Suppose -2*o**2/11 - 166178*o/11 + 166180/11 = 0. Calculate o.
-83090, 1
Factor x**2 + 149*x + 5394.
(x + 62)*(x + 87)
Suppose -16*o**3 - 434*o**2 + 16896*o - 70200 = 0. What is o?
-50, 39/8, 18
Suppose 10*t**2 + 19475*t/3 - 194405/3 = 0. Calculate t.
-659, 59/6
Factor 3*u**2 + 568041*u + 568038.
3*(u + 1)*(u + 189346)
Factor -3*q**3/2 + 227550*q**2 - 8629833750*q.
-3*q*(q - 75850)**2/2
Let -25*n**5 - 50170*n**4 - 40024*n**3 + 192656*n**2 + 160496*n + 32096 = 0. What is n?
-2006, -2, -2/5, 2
Find v, given that -2*v**2 - 436*v - 18560 = 0.
-160, -58
Solve -q**3/2 + 145*q**2/2 - 6987*q/2 + 111843/2 = 0 for q.
43, 51
Factor j**5 + 30*j**4 - 1986*j**3 + 5768*j**2 - 5703*j + 1890.
(j - 30)*(j - 1)**3*(j + 63)
Suppose -2*d**3/3 - 164*d**2/3 + 16640*d/3 - 299008/3 = 0. Calculate d.
-146, 32
Solve -j**2 + 10246*j - 30729 = 0.
3, 10243
Factor b**3/3 - 15*b**2 + 189*b - 729.
(b - 27)*(b - 9)**2/3
Let 2*k**2/11 + 166*k/11 + 480/11 = 0. What is k?
-80, -3
Factor -5*x**2 - 4683720*x - 1096861651920.
-5*(x + 468372)**2
Suppose 5*q**5/4 + 13*q**4/4 - 155041*q**3/4 - 10498061*q**2/4 + 3734780*q - 1071509 = 0. What is q?
-103, 2/5, 1, 202
Let -2*d**2/5 + 59212*d/5 - 438257618/5 = 0. Calculate d.
14803
Factor c**3 - 32876*c**2 + 270207844*c.
c*(c - 16438)**2
Find n, given that n**4/8 - 12291*n**3 - 147495*n**2/4 - 36874*n - 98331/8 = 0.
-1, 98331
Let -w**2 - 5486*w + 16467 = 0. What is w?
-5489, 3
Suppose -3*x**2/7 - 60069*x/7 + 961872/7 = 0. Calculate x.
-20039, 16
Factor 4*n**3 + 19476*n**2 + 22189596*n - 3751868276.
4*(n - 149)*(n + 2509)**2
Find o such that 243*o**5 + 180576*o**4 + 33184155*o**3 - 134729274*o**2 + 169182564*o - 67818264 = 0.
-3362/9, 1, 2
Let 2*n**4 + 406*n**3 + 5668*n**2 + 5264*n = 0. What is n?
-188, -14, -1, 0
Let -144*m**4 - 922272*m**3 - 3380308*m**2 - 3712780*m - 1280200 = 0. What is m?
-6401, -2, -5/6
Factor 2*d**5/9 - 32*d**4/9 - 2560*d**3/9 - 8192*d**2/3.
2*d**2*(d - 48)*(d + 16)**2/9
What is v in -10*v**5 + 1005*v**4 - 1470*v**3 - 1495*v**2 + 990*v = 0?
-1, 0, 1/2, 2, 99
What is f in -7*f**3/4 - 659*f**2/4 - 1307*f/2 - 90 = 0?
-90, -4, -1/7
Factor -2*f**3/9 - 136*f**2/9 + 8888*f/9 - 108416/9.
-2*(f - 22)**2*(f + 112)/9
Determine i, given that -2*i**3 + 2036*i**2 - 518958*i + 516924 = 0.
1, 498, 519
Find k, given that 6*k**5/7 - 39*k**4 + 3357*k**3/7 - 9453*k**2/7 - 7419*k/7 + 810 = 0.
-1, 1/2, 5, 14, 27
Let n**5/5 + 164*n**4/5 + 8192*n**3/5 + 122368*n**2/5 + 700416*n/5 + 1327104/5 = 0. Calculate n.
-72, -8, -4
Find s, given that -5*s**4 + 55780*s**3 - 155347140*s**2 - 1245455840*s - 2492697920 = 0.
-4, 5582
Solve -65*q**4 + 9085*q**3 + 77870*q**2 + 193040*q + 124320 = 0.
-4, -42/13, -1, 148
What is f in 2*f**4 + 94*f**3 - 1618*f**2 - 3510*f - 1800 = 0?
-60, -1, 15
Factor -g**3 - 164*g**2 - 5796*g - 10944.
-(g + 2)*(g + 48)*(g + 114)
Find g, given that 245*g**5 - 14070*g**4 + 101905*g**3 - 34340*g**2 - 45900*g - 7840 = 0.
-2/7, 1, 8, 49
Determine w so that -5*w**4/4 - 16465*w**3/2 - 13538335*w**2 + 108520825*w/2 - 162855375/4 = 0.
-3295, 1, 3
Solve h**4/5 + 45569*h**3/5 + 692117151*h**2/5 + 3502804415099*h/5 - 14022294451484/5 = 0.
-15191, 4
Determine i, given that -4*i**2/5 - 36572*i/5 - 511224/5 = 0.
-9129, -14
Determine s so that -3*s**4 + 189*s**3 + 2313*s**2 - 111729*s - 113850 = 0.
-25, -1, 23, 66
Factor t**3/2 + 548*t**2 + 4371*t/2 + 1638.
(t + 1)*(t + 3)*(t + 1092)/2
Let 3*p**5/2 + 81*p**4 + 1077*p**3 + 2610*p**2 - 12525*p/2 - 7875 = 0. Calculate p.
-35, -15, -5, -1, 2
Factor -d**2/3 + 104*d - 17612/3.
-(d - 238)*(d - 74)/3
Let 2*f**4/5 + 22*f**3 - 1154*f**2/5 - 22*f + 1152/5 = 0. Calculate f.
-64, -1, 1, 9
Factor -4*j**3 - 47804*j**2 + 239104*j - 191296.
-4*(j - 4)*(j - 1)*(j + 11956)
Find t, given that -8*t**2/9 + 6572*t + 29576/9 = 0.
-1/2, 7394
Factor -s**3/2 + 969*s**2/2 - 5760*s + 17226.
-(s - 957)*(s - 6)**2/2
Suppose -x**3 + 710*x**2 - 26169*x = 0. What is x?
0, 39, 671
Find r, given that 4*r**4/5 + 3359*r**3/5 - 11028*r**2/5 - 58149*r/5 + 15174/5 = 0.
-843, -3, 1/4, 6
Let 2*c**3/7 + 50*c**2 - 8124*c/7 + 3024 = 0. What is c?
-196, 3, 18
Factor -3*y**3 - 107970*y**2 - 971783904*y - 5826817152.
-3*(y + 6)*(y + 17992)**2
Determine u so that -4*u**4 + 620*u**3 + 7464*u**2 - 26672*u + 18592 = 0.
-14, 1, 2, 166
Find j such that -27*j**3/4 + 1092*j**2 - 3385*j/4 + 161 = 0.
1/3, 4/9, 161
Determine f so that 3*f**4 - 639*f**3 + 3759*f**2 - 6849*f + 3726 = 0.
1, 2, 3, 207
Suppose 3*h**3 + 228*h**2 - 3072*h + 8448 = 0. Calculate h.
-88, 4, 8
Let 3*o**4/8 + 1293*o**3/8 + 621*o**2/4 - 2586*o - 2580 = 0. Calculate o.
-430, -4, -1, 4
Factor 1276900*b**3 - 54240*b**2 + 576*b.
4*b*(565*b - 12)**2
Let -m**2/5 - 43274*m/5 - 468159769/5 = 0. What is m?
-21637
What is q in -3*q**5/7 + 160584*q**4/7 - 2149416786*q