k.
0, 7/3, 40, 85
Find k, given that -2*k**3/11 - 2748*k**2/11 - 5490*k/11 - 2744/11 = 0.
-1372, -1
Factor -2*a**2/7 - 2198*a - 15384/7.
-2*(a + 1)*(a + 7692)/7
Factor 2*m**2/3 + 1660*m/3 + 11522/3.
2*(m + 7)*(m + 823)/3
Suppose -3*a**4/2 + 806*a**3 + 17997*a**2 + 95370*a - 67639/2 = 0. Calculate a.
-11, 1/3, 559
Factor -14*c**2/5 - 34324*c/5 + 9808/5.
-2*(c + 2452)*(7*c - 2)/5
What is b in -2*b**4/15 + 118*b**3/3 + 970*b**2/3 - 118*b/3 - 1616/5 = 0?
-8, -1, 1, 303
Determine r so that 40*r**3 + 63745*r**2 + 25384450*r - 9528135 = 0.
-797, 3/8
Suppose 119*n**4 - 5041*n**3/6 + 3265*n**2/6 + 851*n/3 - 320/3 = 0. Calculate n.
-1/2, 2/7, 1, 320/51
Factor -j**3 - 485*j**2 - 41139*j + 41625.
-(j - 1)*(j + 111)*(j + 375)
Let 2*j**2/5 - 1297216*j/5 + 210346168832/5 = 0. What is j?
324304
Find l, given that l**4/4 - 6271*l**3/2 - 3*l**2/4 + 9406*l + 6271 = 0.
-1, 2, 12542
Factor -1323*f**3/5 + 3828699*f**2/5 - 729096*f + 173580.
-3*(f - 2893)*(21*f - 10)**2/5
Determine u, given that -12*u**3 + 14132*u**2 + 33024*u + 18880 = 0.
-4/3, -1, 1180
Let 14*v**3/9 + 106*v**2 - 830*v/9 - 46/3 = 0. What is v?
-69, -1/7, 1
What is v in 2*v**3 + 22*v**2 - 320*v + 800 = 0?
-20, 4, 5
Factor 2*s**3/23 + 8420*s**2/23 + 33656*s/23 + 33648/23.
2*(s + 2)**2*(s + 4206)/23
Factor -3*r**2 + 140082*r - 1635247227.
-3*(r - 23347)**2
Factor -5*j**2 + 141020*j - 994332020.
-5*(j - 14102)**2
Let p**2 - 724422*p + 131196808521 = 0. What is p?
362211
Factor 2*m**2/11 - 30692*m/11 + 117749858/11.
2*(m - 7673)**2/11
Factor -o**2/2 - 49*o + 1443/2.
-(o - 13)*(o + 111)/2
Find i such that 35*i**3 - 279162*i**2 + 556660992*i - 31808288 = 0.
2/35, 3988
What is a in -a**4/11 + 1284*a**3/11 - 410878*a**2/11 - 825612*a/11 - 413449/11 = 0?
-1, 643
Factor 2*s**4/9 + 20*s**3/9 - 946*s**2/3.
2*s**2*(s - 33)*(s + 43)/9
Determine u, given that 3*u**3 + 21957*u**2 - 21966*u - 43920 = 0.
-7320, -1, 2
Suppose -o**4/7 - 92*o**3/7 - 341*o**2/7 + 998*o/7 + 2640/7 = 0. Calculate o.
-88, -5, -2, 3
Factor -4*d**4/5 - 72668*d**3/5 - 88165116*d**2 - 179523660420*d - 5654951452800.
-4*(d + 32)*(d + 6045)**3/5
Let 3*j**2/8 - 435*j/4 + 5943/8 = 0. Calculate j.
7, 283
Factor 2*x**2 - 500*x.
2*x*(x - 250)
Find h, given that 4*h**2 + 8264*h - 116480 = 0.
-2080, 14
Factor -2*l**2/7 + 249356*l/7 - 7772301842/7.
-2*(l - 62339)**2/7
What is l in -2*l**2/3 - 13350*l - 40048/3 = 0?
-20024, -1
Let -u**4/8 + 2807*u**3/4 + 260455*u**2/8 - 134437*u/2 + 33960 = 0. What is u?
-48, 1, 5660
Factor a**4 + 318*a**3 + 2796*a**2 + 4642*a + 2163.
(a + 1)**2*(a + 7)*(a + 309)
What is s in -23*s**3/2 + 177*s**2 = 0?
0, 354/23
Factor -2*l**3/9 - 238*l**2/3 - 8528*l - 243360.
-2*(l + 45)*(l + 156)**2/9
Factor -2*u**3/3 + 1357162*u**2/3 - 230236765360*u/3 + 230235408200/3.
-2*(u - 339290)**2*(u - 1)/3
Factor 2*d**3/5 - 59306*d**2/5 + 88007088*d - 1142088480.
2*(d - 14820)**2*(d - 13)/5
Suppose -2*f**4/5 - 1056*f**3/5 - 193212*f**2/5 - 2841696*f - 72414810 = 0. Calculate f.
-195, -69
Let -8*y**3 + 635*y**2 + 2636*y + 2668 = 0. Calculate y.
-2, 667/8
Find d, given that d**3 + 15645*d**2 + 61199328*d + 61183684 = 0.
-7822, -1
Let -1294056971838*k**4/11 - 3882818267676*k**3/11 - 1942164432*k**2/11 - 323844*k/11 - 18/11 = 0. Calculate k.
-3, -1/5997
Determine r so that 3*r**2 - 74538*r + 149064 = 0.
2, 24844
Solve 2*m**3 + 98184*m**2 + 1177992*m + 3533760 = 0.
-49080, -6
Suppose j**4 - 9*j**3 + 76*j - 96 = 0. Calculate j.
-3, 2, 8
Factor -5*w**2 + 23570*w + 165235.
-5*(w - 4721)*(w + 7)
Factor -3*p**3/4 - 33*p**2/2 - 315*p/4.
-3*p*(p + 7)*(p + 15)/4
Suppose -2*r**2/11 + 7184*r/11 - 6451232/11 = 0. Calculate r.
1796
Find w such that w**3/3 - 4234*w**2/3 + 8464*w/3 = 0.
0, 2, 4232
Let 5*c**3/3 + 170*c**2/3 - 1800*c = 0. Calculate c.
-54, 0, 20
Determine c, given that -5*c**5 - 388235*c**4 + 1941270*c**3 - 2329580*c**2 - 1553000*c + 3106080 = 0.
-77652, -1, 2
Factor c**3/7 + 411*c**2/7 + 12851*c/7 + 12441/7.
(c + 1)*(c + 33)*(c + 377)/7
Factor 22775*t**3/4 - 318853*t**2/4 + 1116017*t/4 - 147/4.
(t - 7)**2*(22775*t - 3)/4
Find n, given that 3*n**5/4 + 26925*n**4/4 - 215529*n**3/4 + 565863*n**2/4 - 296427*n/2 + 53898 = 0.
-8983, 1, 2, 4
Find s such that -s**2/5 + 109*s/5 + 2882/5 = 0.
-22, 131
Suppose 3*q**2/5 + 2577*q/5 = 0. Calculate q.
-859, 0
Find k, given that 5*k**2 + 258935*k - 258940 = 0.
-51788, 1
Factor 2000*y**2/7 - 9988*y/7 - 60/7.
4*(y - 5)*(500*y + 3)/7
Factor 2*h**3/3 + 650*h**2 + 1948*h/3.
2*h*(h + 1)*(h + 974)/3
Find p, given that -p**3 - 1021*p**2 - 157975*p - 6677403 = 0.
-843, -89
Factor 3*y**4 - 54*y**3 - 429*y**2 + 6048*y + 37632.
3*(y - 16)**2*(y + 7)**2
Factor f**3 + 80*f**2 + 452*f + 592.
(f + 2)*(f + 4)*(f + 74)
Factor -h**2/6 + 5770*h/3 + 11542/3.
-(h - 11542)*(h + 2)/6
Solve -2*u**3/5 + 21094*u**2/5 - 55609056*u/5 - 55630152/5 = 0 for u.
-1, 5274
Factor -8504*k**2/23 + 1122530*k/23 - 264/23.
-2*(k - 132)*(4252*k - 1)/23
Determine t, given that 5*t**2 + 16965*t + 819280 = 0.
-3344, -49
Factor f**2 + 350154*f + 30651955929.
(f + 175077)**2
Solve -w**3 + 86*w**2 + 19785*w - 60102 = 0 for w.
-106, 3, 189
Solve -3*x**2 - 1072920*x - 95929777200 = 0.
-178820
Suppose 3*x**2 + 3495*x - 78342 = 0. What is x?
-1187, 22
Find o such that -2*o**2/11 - 32*o/11 + 114/11 = 0.
-19, 3
Suppose -3*c**3 - 5646*c**2 - 16911*c = 0. What is c?
-1879, -3, 0
Factor n**3 + 4243*n**2/5 + 85242*n/5 - 34776/5.
(n + 21)*(n + 828)*(5*n - 2)/5
Find a, given that 4*a**5 - 88*a**4 + 576*a**3 - 1512*a**2 + 1404*a = 0.
0, 3, 13
Solve -m**5/4 + 10*m**4 - 303*m**3/4 + 191*m**2 - 155*m = 0 for m.
0, 2, 5, 31
Let 18*r**4/5 - 97*r**3/5 + 5*r**2 + 49*r/5 + 1 = 0. Calculate r.
-1/2, -1/9, 1, 5
Suppose -2*y**3/9 - 126*y**2 - 8944*y/9 = 0. What is y?
-559, -8, 0
Suppose -2*c**3/7 + 1482*c**2 - 1926960*c + 13416200 = 0. What is c?
7, 2590
Factor -l**4/2 - 7041*l**3 - 49561597*l**2/2 + 49582722*l - 24794882.
-(l - 1)**2*(l + 7042)**2/2
Find f, given that -2*f**5/13 - 10*f**4/13 + 15852*f**3/13 - 3652*f**2 + 47446*f/13 - 15810/13 = 0.
-93, 1, 85
Suppose 75*v**3 - 1806*v**2 + 10944*v - 864 = 0. Calculate v.
2/25, 12
Solve -2*g**5 - 402*g**4 - 780*g**3 + 3184*g**2 = 0 for g.
-199, -4, 0, 2
Factor u**4/7 - 378222*u**3/7 + 35762970321*u**2/7.
u**2*(u - 189111)**2/7
Suppose -2*w**2 - 28678*w + 57364 = 0. Calculate w.
-14341, 2
Suppose -8*g**3 - 26594*g**2 + 988208*g + 248714 = 0. What is g?
-3361, -1/4, 37
Find f, given that -4*f**2 - 30296*f - 57365476 = 0.
-3787
Factor 146*y**2/3 + 446*y - 1656.
2*(y + 12)*(73*y - 207)/3
Factor -2*w**3/5 + 14*w**2 - 392*w/5.
-2*w*(w - 28)*(w - 7)/5
Factor 4*d**3 - 2176*d**2 - 24468*d + 26640.
4*(d - 555)*(d - 1)*(d + 12)
Factor -5*n**4/3 - 750*n**3 - 84375*n**2.
-5*n**2*(n + 225)**2/3
Suppose 3*s**4/5 - 1119*s**3/5 + 81141*s**2/5 - 16005*s = 0. What is s?
0, 1, 97, 275
Suppose -d**3/4 + 7*d**2/4 + 34*d + 32 = 0. What is d?
-8, -1, 16
What is g in -2*g**2/3 - 72*g + 7616/3 = 0?
-136, 28
Solve -2*l**3/13 + 4470*l**2/13 + 273600*l/13 + 4131000/13 = 0 for l.
-30, 2295
Suppose -k**4/4 + 5*k**3/4 + 1123*k**2/4 - 6737*k/4 + 2805/2 = 0. What is k?
-34, 1, 5, 33
Factor -15*x**3 + 500*x**2 + 15*x - 500.
-5*(x - 1)*(x + 1)*(3*x - 100)
Solve 2*p**3/17 - 1918*p**2/17 - 33220*p/17 + 35136/17 = 0 for p.
-18, 1, 976
Factor w**4/4 + 197*w**3/2 - 1428*w**2.
w**2*(w - 14)*(w + 408)/4
Factor 150*l**2 + 37504*l + 1000.
2*(l + 250)*(75*l + 2)
Let -4*m**3/3 + 964*m**2/3 - 45760*m/3 = 0. What is m?
0, 65, 176
Solve -5*h**3 - 660*h**2 + 21915*h + 71550 = 0 for h.
-159, -3, 30
What is s in 11881*s**5/4 - 130909*s**4/4 + 406353*s**3/4 - 292567*s**2/4 + 2633*s/2 - 6 = 0?
1/109, 1, 4, 6
What is f in 20*f**5 + 1172*f**4 + 8328*f**3 - 13520*f**2 + 4000*f = 0?
-50, -10, 0, 2/5, 1
Solve 3*q**3/5 - 141987*q**2/5 + 1680380592*q/5 - 1679670732 = 0 for q.
5, 23662
Let -2*w**4/9 - 62*w**3 + 8408*w**2/3 - 94136*w/9 + 10208 = 0. What is w?
-319, 2, 36
Factor -p**2/2 - 17465*p - 34929/2.
-(p + 1)*(p + 34929)/2
Factor 2*l**2 - 812*l + 23936.
2*(l - 374)*(l - 32)
Solve -4*k**3 + 928*k**2 - 56500*k + 306456 = 0 for k.
6, 113
Factor 3*x**2/2 + 16545*x/2 - 24831.
3*(x - 3)*(x + 5518)/2
Factor 2*w**3 - 1859*w**2/4 + 27086*w - 10092.
(w - 116)**2*(8*w - 3)/4
Factor 4*p**2 + 16752*p.
4*p*(p + 4188)
Find d such that -d**4/4 - 885*d**3/4 - 7883*d**2/4 + 885*d/4 + 1971 = 0.
-876, -9, 