94272 = 0. What is q?
-1/3, 1, 8, 111
Find m, given that -m**4/7 - 4*m**3 + 199*m**2/7 - 170*m/7 = 0.
-34, 0, 1, 5
Factor -g**3/2 + 381*g**2/2 - 16599*g/2 + 16219/2.
-(g - 331)*(g - 49)*(g - 1)/2
Let p**3 - 3415*p**2 + 64504*p + 67920 = 0. What is p?
-1, 20, 3396
What is b in -2*b**5 + 12344*b**4 + 49398*b**3 + 61756*b**2 + 24704*b = 0?
-2, -1, 0, 6176
Factor b**2/2 + 29719*b + 883218961/2.
(b + 29719)**2/2
Factor 2*w**2 - 304*w - 13986.
2*(w - 189)*(w + 37)
Suppose k**5 + 326*k**4 + 36666*k**3 + 1734836*k**2 + 29035021*k - 30806850 = 0. Calculate k.
-150, -59, 1
Factor 1817845*a**2 + 1817855*a + 10.
5*(a + 1)*(363569*a + 2)
What is a in 11481*a**2/5 + 2*a/5 = 0?
-2/11481, 0
Determine v so that v**5 + 3012*v**4 - 2*v**3 - 6024*v**2 + v + 3012 = 0.
-3012, -1, 1
Factor -z**2/4 - 9649*z/4 + 24135/2.
-(z - 5)*(z + 9654)/4
Factor -4*z**2 - 252668*z - 252664.
-4*(z + 1)*(z + 63166)
Find n, given that n**2 - 906*n + 126809 = 0.
173, 733
Let -i**4/3 - 5384*i**3/3 - 21517*i**2/3 + 5386*i + 32280 = 0. What is i?
-5380, -3, 2
Let 4*o**4 - 10016*o**3 + 129624*o**2 - 229216*o + 109604 = 0. Calculate o.
1, 11, 2491
Factor t**3/6 - 176*t**2/3 + 2407*t/6 + 460.
(t - 345)*(t - 8)*(t + 1)/6
Determine l so that -2*l**2/3 + 220*l/3 - 726 = 0.
11, 99
Suppose 484*l**4/9 + 5588*l**3/9 + 2336*l**2 + 2880*l = 0. Calculate l.
-5, -36/11, 0
Factor 2*l**3 - 68*l**2/3 + 70*l - 196/3.
2*(l - 7)*(l - 2)*(3*l - 7)/3
Factor 29*r**2 + 1001*r + 5586.
(r + 7)*(29*r + 798)
Factor 3*z**3/5 + 123*z**2 + 23214*z/5 + 43992/5.
3*(z + 2)*(z + 47)*(z + 156)/5
Let q**5/4 + 197*q**4/12 - 2245*q**3/4 + 16289*q**2/4 - 3887*q/3 = 0. What is q?
-92, 0, 1/3, 13
Factor 20*w**2 + 21384*w + 25632.
4*(w + 1068)*(5*w + 6)
Suppose a**3/5 + 438*a**2 + 8744*a/5 = 0. Calculate a.
-2186, -4, 0
Factor -3*a**2/8 + 9267*a - 57251526.
-3*(a - 12356)**2/8
Suppose -r**2/9 - 10004*r/9 = 0. Calculate r.
-10004, 0
Factor -i**3 - 66*i**2 + 5800*i.
-i*(i - 50)*(i + 116)
Factor 3*v**5 + 73953*v**4 + 295776*v**3 + 295764*v**2.
3*v**2*(v + 2)**2*(v + 24647)
Factor 2*o**2/9 + 22106*o/9 + 44188/3.
2*(o + 6)*(o + 11047)/9
What is k in -1365*k**2/2 - 905*k - 345/2 = 0?
-23/21, -3/13
Factor -r**2 - 3477*r + 84024.
-(r - 24)*(r + 3501)
Factor w**2/6 + 7679*w/3.
w*(w + 15358)/6
Factor -18*n**2 + 410*n + 2500.
-2*(n + 5)*(9*n - 250)
Suppose -3*s**2/5 + 1011*s/5 - 12012 = 0. Calculate s.
77, 260
Suppose c**4/6 + 863*c**3/6 + 16135*c**2/6 + 27879*c/2 + 11394 = 0. What is c?
-844, -9, -1
Factor -2*i**2/3 - 564*i + 8510/3.
-2*(i - 5)*(i + 851)/3
Let 4*q**5/5 - 272*q**4/5 + 3904*q**3/5 + 29952*q**2/5 - 165888*q/5 = 0. Calculate q.
-8, 0, 4, 36
Solve 2*z**4/19 - 1728*z**3/19 + 5166*z**2/19 + 8*z/19 - 6888/19 = 0 for z.
-1, 2, 861
Factor 207*p**2 - 1122*p + 1176.
3*(p - 4)*(69*p - 98)
What is g in -4*g**5 + 720*g**4 - 41168*g**3 + 724024*g**2 + 41172*g - 724744 = 0?
-1, 1, 34, 73
Factor -5*x**2 - 125*x + 19380.
-5*(x - 51)*(x + 76)
Suppose 2*v**5/19 + 2288*v**4/19 + 647468*v**3/19 - 3946808*v**2/19 + 5942050*v/19 - 2645000/19 = 0. Calculate v.
-575, 1, 4
Suppose -103*w**4/4 - 463*w**3 - 8925*w**2/4 - 2789*w + 55 = 0. Calculate w.
-11, -5, -2, 2/103
What is b in b**5 - 137*b**4/3 + 461*b**3 - 4399*b**2/3 + 1578*b - 528 = 0?
2/3, 1, 3, 8, 33
Factor -y**3/6 - 5*y**2/3 + 18329*y/6 + 15295.
-(y - 133)*(y + 5)*(y + 138)/6
Find t, given that t**5 - 1157*t**4 + 334078*t**3 + 341034*t**2 - 1679679*t + 1005723 = 0.
-3, 1, 579
Suppose 2*u**5/7 + 1852*u**4/7 - 12*u**3/7 - 11096*u**2/7 + 14810*u/7 - 5556/7 = 0. What is u?
-926, -3, 1
Determine k, given that -k**2/5 - 46*k + 231/5 = 0.
-231, 1
Let 3*l**2 - 373701*l = 0. What is l?
0, 124567
Factor -5*y**5 - 20*y**4 + 1375*y**3 + 10890*y**2.
-5*y**2*(y - 18)*(y + 11)**2
Factor 22*t**2 + 473500*t - 129138.
2*(t + 21523)*(11*t - 3)
Suppose 2*p**5 + 2664*p**4 - 104120*p**3 = 0. What is p?
-1370, 0, 38
Solve 2*v**4/3 + 168*v**3 + 2808*v**2 - 979776*v + 22674816 = 0.
-162, 36
Let -2*r**4/21 + 10*r**3/3 + 836*r**2/21 + 2816*r/21 + 960/7 = 0. What is r?
-4, -2, 45
Find k, given that -2*k**2 + 48*k + 864 = 0.
-12, 36
Let 28*a**4 + 105124*a**3 - 1219320*a**2 + 3254256*a + 1626912 = 0. What is a?
-3766, -3/7, 6
Solve -d**3/6 - 2899*d**2/6 - 2061367*d/6 + 19263321/2 = 0 for d.
-1463, 27
Factor v**3 - 80641*v**2 - 967800*v - 2903508.
(v - 80653)*(v + 6)**2
Factor 10*j**3 - 718*j**2 - 892*j + 1168.
2*(j - 73)*(j + 2)*(5*j - 4)
Find m such that -m**5/10 - 724*m**4/5 - 2167*m**3/5 + 724*m**2/5 + 867*m/2 = 0.
-1445, -3, -1, 0, 1
Solve 4*k**5 - 200*k**4 + 1092*k**3 - 1568*k**2 - 752*k + 2112 = 0 for k.
-1, 2, 3, 44
Let -2*o**5/11 + 28*o**4/11 + 70*o**3/11 - 80*o**2/11 - 248*o/11 - 128/11 = 0. What is o?
-2, -1, 2, 16
Suppose 2*q**3/11 - 23014*q**2/11 + 229990*q/11 - 574850/11 = 0. What is q?
5, 11497
Factor 676*u**2/5 - 681928*u/5 + 171976996/5.
4*(13*u - 6557)**2/5
Suppose y**4/2 - 213*y**3/2 - 1214*y**2 - 4014*y - 4032 = 0. Calculate y.
-6, -3, -2, 224
Let -v**2/5 - 127*v/5 - 3822/5 = 0. Calculate v.
-78, -49
Solve -2421*i**5/4 + 6465*i**4/2 - 17043*i**3/4 - 1551*i**2/2 + 2427*i - 18 = 0 for i.
-2/3, 2/269, 1, 2, 3
Find y such that 5*y**4 + 1258760*y**3 + 6293715*y**2 + 10069900*y + 5034940 = 0.
-251747, -2, -1
Determine q so that -3*q**2/4 + 1278897*q/4 - 1278891/2 = 0.
2, 426297
Find i, given that -2*i**2/5 - 732276*i/5 - 67028517522/5 = 0.
-183069
Determine y, given that 2*y**2 + 74136*y + 222390 = 0.
-37065, -3
What is o in 3*o**2/4 + 1257*o/4 - 1269 = 0?
-423, 4
Factor -g**3/4 + 353*g**2/2 - 4905*g/4 + 2097.
-(g - 699)*(g - 4)*(g - 3)/4
Determine n so that 4*n**3 - 163952*n**2 - 163956*n = 0.
-1, 0, 40989
Suppose -4*b**2 + 9223672*b - 5317257822724 = 0. Calculate b.
1152959
Suppose 22678*f**2 + 4*f = 0. Calculate f.
-2/11339, 0
Find p such that 98*p**5/9 - 56*p**4/9 - 422*p**3/3 + 1904*p**2/9 - 776*p/9 + 32/3 = 0.
-4, 2/7, 1, 3
Let -3*x**5/4 + 177*x**4/4 - 1917*x**3/4 + 5799*x**2/4 - 1635*x + 621 = 0. What is x?
1, 2, 9, 46
Solve h**3/4 + 103*h**2/4 - h/4 - 103/4 = 0.
-103, -1, 1
Determine c, given that c**4/6 + 11*c**3 - 4429*c**2/6 - 749*c = 0.
-107, -1, 0, 42
Factor -2*o**4 - 19368*o**3 - 62519904*o**2 - 67271416704*o.
-2*o*(o + 3228)**3
Determine p, given that 11460*p**5 - 61144*p**4 + 80348*p**3 + 15112*p**2 - 45872*p + 96 = 0.
-2/3, 2/955, 1, 2, 3
Let 80*z**2 - 106840*z + 35671205 = 0. Calculate z.
2671/4
Let 2*n**3/9 - 161072*n**2/9 - 161074*n/9 = 0. Calculate n.
-1, 0, 80537
Find n, given that 4*n**2/9 + 30928*n/9 + 59783824/9 = 0.
-3866
Find s such that s**2/2 + 56011*s/2 - 280105 = 0.
-56021, 10
Solve 2*u**4 - 1202*u**3 + 1200*u**2 = 0.
0, 1, 600
Factor -5*m**2 + 218350*m - 2383836125.
-5*(m - 21835)**2
Factor 3*f**2 - 3513*f + 89310.
3*(f - 1145)*(f - 26)
Solve -i**3/5 + 146*i**2/5 + 2191*i/5 + 1568 = 0.
-7, 160
Let 35*k**3 - 685*k**2 - 5195*k - 4475 = 0. What is k?
-5, -1, 179/7
Determine j, given that j**4/4 - 1989*j**3/4 + 11909*j**2/4 - 21819*j/4 + 5949/2 = 0.
1, 2, 3, 1983
Factor -h**4/9 + 94*h**3/3 - 27157*h**2/9 + 341972*h/3 - 13235044/9.
-(h - 107)**2*(h - 34)**2/9
What is h in -5*h**4 - 780*h**3 - 6265*h**2 + 51450*h = 0?
-147, -14, 0, 5
Determine a so that 3*a**4 + 81*a**3 - 846*a**2 - 27060*a - 26136 = 0.
-22, -1, 18
Factor m**3/5 + 128*m**2/5 - 75884*m/5 + 5536848/5.
(m - 122)**2*(m + 372)/5
Determine v so that 4*v**4/9 - 10*v**3/3 - 260*v**2/3 + 410*v/9 + 44 = 0.
-11, -1/2, 1, 18
Let t**3/2 + 681*t**2 - 2731*t/2 - 2046 = 0. What is t?
-1364, -1, 3
Solve -2*w**2/9 + 58384*w/9 - 426086432/9 = 0.
14596
Factor 3*o**4 + 838836*o**3 + 58637152908*o**2.
3*o**2*(o + 139806)**2
Factor 5*s**3 + 12350*s**2 - 198560*s + 795520.
5*(s - 8)**2*(s + 2486)
Factor -2*g**4/9 - 2564*g**3/9 - 331712*g**2/9.
-2*g**2*(g + 146)*(g + 1136)/9
What is r in 15*r**4/2 - 185*r**3 - 3915*r**2/2 - 3565*r + 3300 = 0?
-5, -4, 2/3, 33
Suppose -2*f**3 - 2230*f**2 + 4468*f = 0. Calculate f.
-1117, 0, 2
Let -5*d**5 + 175*d**4 + 230*d**3 - 1840*d**2 + 1440*d = 0. Calculate d.
-4, 0, 1, 2, 36
Let -2*b**4/3 - 8944*b**3/3 - 8942*b**2/3 = 0. Calculate b.
-4471, -1, 0
Factor -q**4 + 22*q**3 - 19*q**2 - 42*q.
-q*(q - 21)*(q - 2)*(q + 1)
Factor w**2/6 - 275*w/6 - 2461.
(w - 321)*(w + 46)/6
Suppose 3*n**3/2 - 369*n**2 + 7839*n/2 - 9870 = 0. What is n?
4, 7, 235
Suppose 15*u**3 + 3429*u**2 - 350691*u - 354105 = 0. Calculate 