4, 28
What is b in -2*b**3/11 + 196*b**2/11 + 2862*b/11 + 2664/11 = 0?
-12, -1, 111
Determine z, given that -5*z**4/3 - 2650*z**3/3 - 249685*z**2/3 + 252340*z/3 = 0.
-407, -124, 0, 1
Factor -w**2/2 - 17415*w - 34828.
-(w + 2)*(w + 34828)/2
Suppose 4*n**5 - 508*n**4 + 8216*n**3 - 40808*n**2 + 76260*n - 43164 = 0. What is n?
1, 3, 11, 109
Factor o**5/3 - 241*o**4 - 483*o**3 - 725*o**2/3.
o**2*(o - 725)*(o + 1)**2/3
What is m in 4*m**4/9 - 13120*m**3/9 - 52588*m**2/9 + 144520*m/9 - 26272/3 = 0?
-6, 1, 3284
Determine y, given that -y**5 - 17*y**4 - 82*y**3 - 116*y**2 + 56*y + 160 = 0.
-10, -4, -2, 1
Factor 280*b**3/3 - 25759*b**2/3 - 52732*b/3 - 188/3.
(b - 94)*(b + 2)*(280*b + 1)/3
Suppose -3*p**4 - 1800*p**3 - 269952*p**2 + 28800*p + 4320000 = 0. What is p?
-300, -4, 4
Find k, given that k**4/3 - 49*k**3 + 2432*k**2/3 = 0.
0, 19, 128
Suppose -2*t**4/9 - 568*t**3/9 - 10634*t**2/9 - 6524*t/3 - 1056 = 0. Calculate t.
-264, -18, -1
Determine s so that 12*s**2 - 15844*s - 10568 = 0.
-2/3, 1321
Determine n, given that -n**2/5 + 19*n/5 = 0.
0, 19
Solve 10*u**5/13 - 264*u**4/13 + 156*u**3 - 4600*u**2/13 + 4122*u/13 - 1296/13 = 0 for u.
1, 9, 72/5
Let -27*a**5/7 + 1668*a**4/7 + 1056*a**3 + 8688*a**2/7 + 1584*a/7 = 0. What is a?
-2, -2/9, 0, 66
Solve -2*n**4/5 - 32*n**3 - 2666*n**2/5 + 22188*n/5 = 0.
-43, 0, 6
Factor k**3/2 - 4753*k**2/2 + 18991*k/2 + 23745/2.
(k - 4749)*(k - 5)*(k + 1)/2
Let -s**5/3 + 34*s**4 - 2389*s**3/3 - 3604*s**2 - 11236*s/3 = 0. What is s?
-2, 0, 53
Let -u**3/3 + 35*u**2/3 + 38*u = 0. Calculate u.
-3, 0, 38
Let x**3/11 + 1350*x**2/11 = 0. Calculate x.
-1350, 0
Factor -x**2/12 - 25697*x/12.
-x*(x + 25697)/12
What is s in -4*s**5 + 16904*s**4 + 186716*s**3 - 1220752*s**2 + 2101808*s - 1084672 = 0?
-16, 1, 2, 4237
Determine o, given that -2*o**2/3 + 3074*o + 269120/3 = 0.
-29, 4640
Factor 4*u**3 + 708*u**2 + 2748*u - 3460.
4*(u - 1)*(u + 5)*(u + 173)
Factor k**3 + 1123*k**2 + 315843*k + 314721.
(k + 1)*(k + 561)**2
Suppose u**2/2 - 4784*u + 28695/2 = 0. What is u?
3, 9565
What is a in 20*a**4/3 - 3085*a**3/3 + 45990*a**2 - 1406300*a/3 + 343000/3 = 0?
1/4, 14, 70
Determine p so that 2*p**4 + 51448*p**3 - 154362*p**2 + 8*p + 205816 = 0.
-25727, -1, 2
What is k in 3*k**4 + 2328*k**3 - 7005*k**2 + 4674*k = 0?
-779, 0, 1, 2
Let 2368152*a**5 + 638832*a**4 - 199329*a**3/2 - 86319*a**2/4 + 6285*a/4 + 3/2 = 0. Calculate a.
-1/4, -1/1061, 2/31, 1/6
Suppose 8*h**2 - 857076*h - 428540 = 0. What is h?
-1/2, 107135
Factor -h**3/5 + 87797*h**2/5 - 175591*h/5 + 17559.
-(h - 87795)*(h - 1)**2/5
Solve -4*a**4/9 + 164*a**3/3 + 2612*a**2/9 - 2228*a/3 + 3584/9 = 0.
-7, 1, 128
Solve -5*i**5 - 235*i**4 - 1915*i**3 - 2285*i**2 + 4440*i = 0.
-37, -8, -3, 0, 1
Solve s**3 - 10039*s**2 + 25190360*s + 25200400 = 0.
-1, 5020
Factor 4*l**3/5 - 728*l**2/5 + 43824*l/5 - 174240.
4*(l - 66)**2*(l - 50)/5
Factor g**3 - 6*g**2 - 91*g + 396.
(g - 11)*(g - 4)*(g + 9)
Determine h, given that -h**4 + 104*h**3 + 16830*h**2 - 2658800*h + 92732875 = 0.
-151, 85
Factor -2*r**5 - 14*r**4 + 1284*r**3 - 13284*r**2 + 33534*r + 48114.
-2*(r - 9)**3*(r + 1)*(r + 33)
Solve -3*l**4/2 + 411*l**3/2 - 6966*l**2 + 13122*l = 0 for l.
0, 2, 54, 81
Suppose -3*p**5 - 804*p**4 - 5478*p**3 + 804*p**2 + 5481*p = 0. What is p?
-261, -7, -1, 0, 1
Determine k so that 4*k**2 + 284*k - 4368 = 0.
-84, 13
Let -4*z**4/9 - 7744*z**3/9 - 4264192*z**2/9 - 55508992*z - 1849688064 = 0. What is z?
-896, -72
Factor 2*p**3/7 + 7972*p**2/7 + 4552*p + 31856/7.
2*(p + 2)**2*(p + 3982)/7
Find g such that -2*g**5 + 106*g**4 - 478*g**3 - 130*g**2 + 1608*g + 1152 = 0.
-1, 3, 4, 48
Factor -2*b**2/13 - 6*b/13 + 8/13.
-2*(b - 1)*(b + 4)/13
Factor 3*s**3 + 22182*s**2 - 22203*s - 133110.
3*(s - 3)*(s + 2)*(s + 7395)
Suppose 2*u**2/9 + 25952*u/9 + 84188288/9 = 0. What is u?
-6488
Factor -q**2/5 - 57214*q/5 - 818360449/5.
-(q + 28607)**2/5
What is k in -k**2/6 - 223*k/3 + 55160 = 0?
-840, 394
Let -c**3 - 204*c**2 - 7700*c = 0. Calculate c.
-154, -50, 0
Factor 4*l**4/3 + 6292*l**3 + 94280*l**2/3.
4*l**2*(l + 5)*(l + 4714)/3
Determine b so that 2*b**3/9 - 3316*b**2/3 - 6638*b - 9960 = 0.
-3, 4980
Factor f**5 + 32*f**4 + 57*f**3 - 94*f**2 - 116*f + 120.
(f - 1)**2*(f + 2)**2*(f + 30)
Factor -q**4/5 - 12774*q**3/5 - 15324*q**2 - 153224*q/5 - 102144/5.
-(q + 2)**3*(q + 12768)/5
Factor c**2/3 + 5*c/3 - 50.
(c - 10)*(c + 15)/3
Factor -4*h**4/7 - 608*h**3 - 1127832*h**2/7 + 324064*h - 1136356/7.
-4*(h - 1)**2*(h + 533)**2/7
Let -1660608*r**3 - 1649448*r**2 + 44565*r/4 - 75/4 = 0. What is r?
-1, 5/1488
Factor -3*n**3 + 1191*n**2 - 3552*n + 2364.
-3*(n - 394)*(n - 2)*(n - 1)
Let 2*f**5 - 572*f**4 + 18820*f**3 - 208000*f**2 + 752250*f - 562500 = 0. What is f?
1, 5, 15, 250
Let -3*f**2 + 3506838*f - 1024826063187 = 0. Calculate f.
584473
Solve -6*z**3/11 + 212106*z**2/11 - 170171424*z - 4266345600 = 0 for z.
-25, 17688
Factor 4*t**3 + 152*t**2 + 836*t - 992.
4*(t - 1)*(t + 8)*(t + 31)
What is l in 3267*l**5 + 3663*l**4 - 104136*l**3 - 208680*l**2 - 24144*l - 720 = 0?
-5, -2, -2/33, 6
Factor -2*c**4/9 - 206*c**3/3 + 620*c**2/9.
-2*c**2*(c - 1)*(c + 310)/9
Factor -2*q**3/9 - 344*q**2/9 - 14792*q/9.
-2*q*(q + 86)**2/9
Solve -8*l**5 - 484*l**4 - 9689*l**3/2 - 4189*l**2/2 + 1986*l - 288 = 0.
-48, -12, -1, 1/4
What is g in -3*g**2/8 - 23397*g/4 - 327411/8 = 0?
-15591, -7
Solve 5*r**3/6 - 2645*r**2/6 + 41240*r - 40800 = 0 for r.
1, 120, 408
Let 4*x**5 + 108*x**4 + 468*x**3 + 628*x**2 + 264*x = 0. What is x?
-22, -3, -1, 0
Suppose -12*w**5/7 - 82*w**4/7 - 178*w**3/7 - 16*w**2 + 24*w/7 = 0. What is w?
-3, -2, 0, 1/6
Determine o, given that -8421604*o**4 - 134838528*o**3 - 506782320*o**2 - 5575936*o - 15360 = 0.
-10, -6, -8/1451
What is q in -3*q**2 - 469212*q = 0?
-156404, 0
Solve d**4/6 - 107*d**3 - 1970*d**2 - 19900*d/3 + 22000 = 0.
-10, 2, 660
What is m in -28*m**5/5 + 258*m**4 - 20252*m**3/5 + 22968*m**2 - 20520*m + 1350 = 0?
1/14, 1, 15
Let -i**2/3 - 1432*i + 8596/3 = 0. What is i?
-4298, 2
Solve 16*p**4 - 76*p**3 - 1692*p**2 + 7600*p + 9200 = 0.
-10, -1, 23/4, 10
What is z in -3*z**3/7 - 21180*z**2/7 - 63519*z/7 - 42342/7 = 0?
-7057, -2, -1
Find g such that 15*g**5 + 864*g**4 + 7392*g**3 - 3966*g**2 - 7407*g + 3102 = 0.
-47, -11, -1, 2/5, 1
Factor 2*g**2/11 + 8792*g/11 - 17592/11.
2*(g - 2)*(g + 4398)/11
Determine j, given that -j**3/7 - 185*j**2 - 434975*j/7 - 10080625/7 = 0.
-635, -25
Solve -d**2/2 + 1015*d + 6108 = 0 for d.
-6, 2036
Determine w so that w**2/3 + 3910*w/3 - 87472 = 0.
-3976, 66
Factor 20*t**4 - 5436*t**3 + 9720*t**2.
4*t**2*(t - 270)*(5*t - 9)
Find r such that -4*r**2 + 1546*r - 8382 = 0.
11/2, 381
Determine t, given that 3*t**5 - 219*t**4 + 1440*t**3 - 3624*t**2 + 3984*t - 1584 = 0.
1, 2, 66
Factor 5*q**3 + 80580*q**2 + 325139760*q + 3890082240.
5*(q + 12)*(q + 8052)**2
Determine k so that 2*k**2/11 - 42258*k/11 - 634320/11 = 0.
-15, 21144
Let 25*g**4/6 - 45*g**3 + 164*g**2 - 721*g/3 + 245/2 = 0. What is g?
7/5, 3, 5
Factor -d**4 + 257*d**3 + 1833*d**2 + 3951*d + 2376.
-(d - 264)*(d + 1)*(d + 3)**2
Factor 5*o**3/2 - 14145*o**2/2 + 28275*o/2 - 14135/2.
5*(o - 2827)*(o - 1)**2/2
Let -2*b**5 - 18*b**4 + 68*b**3 - 48*b**2 = 0. What is b?
-12, 0, 1, 2
Factor s**4/7 - 86*s**3/7 + 1445*s**2/7 - 5200*s/7.
s*(s - 65)*(s - 16)*(s - 5)/7
Factor -g**2/2 + 2527*g/2 + 7599.
-(g - 2533)*(g + 6)/2
Determine u so that 2*u**2 - 412736*u + 21293875712 = 0.
103184
Factor -2*n**2/7 + 128152*n/7 - 2052866888/7.
-2*(n - 32038)**2/7
Let 18*s**3 + 1419*s**2 + 1167*s - 234 = 0. What is s?
-78, -1, 1/6
Factor -2*m**5 - 112*m**4 - 1692*m**3 - 9464*m**2 - 13426*m + 24696.
-2*(m - 1)*(m + 7)**3*(m + 36)
Suppose p**4/4 + 271*p**3/4 + 2337*p**2/4 - 5491*p/4 + 1441/2 = 0. What is p?
-262, -11, 1
Determine h so that -10*h**4 - 1942*h**3 + 47592*h**2/5 - 6680*h + 6368/5 = 0.
-199, 2/5, 4
Solve -2764*h**5 - 27648*h**4 - 33248*h**3 + 160216*h**2 - 96276*h - 280 = 0.
-7, -5, -2/691, 1
Factor 3*g**2 - 2406*g - 4824.
3*(g - 804)*(g + 2)
Factor 4*s**3 - 2024*s**2 + 13940*s + 15968.
4*(s - 499)*(s - 8)*(s + 1)
Let 5*c**5/2 + 15*c**4/2 - 45*c**3 - 100*c**2 = 0. Calculate c.
-5, -2, 0, 4
Find b such that -4*b**3 + 114*b**2 - 702*b - 380 = 0.
-1/2, 10, 19
Find t such that 2*t**2/7 - 1250*t/7 - 82200/7 = 0.
-60, 685
Determine p, given that -44*p**3 + 1028*p**2 - 