5/3, 5, 11, 16
Determine r, given that 4*r**5 + 10480*r**4 + 83404*r**3 - 470016*r**2 + 376128*r = 0.
-2612, -12, 0, 1, 3
Let 7*j**5 - 121579*j**4 + 295231*j**3 - 156289*j**2 - 86834*j + 69464 = 0. Calculate j.
-4/7, 1, 17366
What is w in 4*w**5/13 - 118*w**4/13 + 1128*w**3/13 - 3726*w**2/13 + 3024*w/13 + 2592/13 = 0?
-1/2, 3, 12
Factor -52*q**2/5 - 436*q + 87368/5.
-4*(q + 67)*(13*q - 326)/5
Factor -4*b**2 + 552424*b + 2209760.
-4*(b - 138110)*(b + 4)
Factor 3*w**3/5 - 6483*w**2/5 + 32322*w/5 + 38808/5.
3*(w - 2156)*(w - 6)*(w + 1)/5
Factor -3*h**2 + 9993*h + 60066.
-3*(h - 3337)*(h + 6)
Suppose -3*r**4/4 - 387*r**3/2 - 11595*r**2/4 + 1429506*r + 1432212 = 0. Calculate r.
-164, -1, 71
Find l, given that -2*l**4 - 6*l**3 + 144*l**2 - 352*l = 0.
-11, 0, 4
Factor u**5 + 1883*u**4 + 3762*u**3.
u**3*(u + 2)*(u + 1881)
Factor f**2 - 732304*f + 134067287104.
(f - 366152)**2
Factor -3*i**2/7 - 34569*i/7 + 98940.
-3*(i - 20)*(i + 11543)/7
Factor 2*z**3/9 - 1634*z**2/9 + 16264*z/3 - 5240.
2*(z - 786)*(z - 30)*(z - 1)/9
Suppose -4*r**4/11 + 9178*r**3/11 - 32040*r**2/11 - 77914*r/11 + 45820/11 = 0. What is r?
-2, 1/2, 5, 2291
Determine i so that i**5/2 - 90*i**4 + 5825*i**3/2 - 31105*i**2 + 92310*i - 82076 = 0.
2, 17, 142
Let 861363801*p**2 + 1995732*p + 1156 = 0. Calculate p.
-34/29349
Find o such that -o**5/2 + 29*o**4 + 1203*o**3/2 - 686*o**2 - 1258*o = 0.
-17, -1, 0, 2, 74
Find f such that -7*f**5 - 3093*f**4 - 8743*f**3 + 16257*f**2 + 6122*f - 10536 = 0.
-439, -4, -6/7, 1
Find p, given that 6*p**5/5 - 4914*p**4/5 + 216810*p**3 - 31940646*p**2/5 + 268095168*p/5 - 237233664/5 = 0.
1, 16, 393
Factor 2*a**3/7 - 1996*a**2/7 + 72882*a/7 + 74880/7.
2*(a - 960)*(a - 39)*(a + 1)/7
Let h**2/4 - 11047*h/4 - 55285/2 = 0. What is h?
-10, 11057
Factor 3*b**2/8 - 4413*b/2 - 8829/2.
3*(b - 5886)*(b + 2)/8
Factor -2*n**2/11 - 161542*n/11 + 161544/11.
-2*(n - 1)*(n + 80772)/11
Factor i**3/9 - 300*i - 6000.
(i - 60)*(i + 30)**2/9
Let f**4 + 325*f**3 - 2763*f**2 - 33057*f - 29970 = 0. Calculate f.
-333, -6, -1, 15
Factor -4*h**3/5 + 10496*h**2/5 + 2100*h.
-4*h*(h - 2625)*(h + 1)/5
Solve -68*n**3 + 6452*n**2 - 142040*n - 16800 = 0.
-2/17, 35, 60
Factor -2*f**3/13 + 3004*f**2/13 - 1128002*f/13.
-2*f*(f - 751)**2/13
Factor -5*o**2 + 815*o + 255990.
-5*(o - 322)*(o + 159)
Find l such that 2*l**5/23 + 232*l**4/23 - 474*l**3/23 - 232*l**2/23 + 472*l/23 = 0.
-118, -1, 0, 1, 2
Determine z, given that z**5/4 + 9*z**4/4 + 19*z**3/4 - 21*z**2/4 - 23*z - 15 = 0.
-5, -3, -2, -1, 2
Determine b so that -2*b**2 + 3720*b - 40678 = 0.
11, 1849
Solve 21*p**4/4 + 423*p**3/4 + 1683*p**2/4 - 4719*p/4 = 0.
-11, 0, 13/7
Suppose 2*j**2/13 - 92*j + 18624/13 = 0. What is j?
16, 582
Find n, given that 3*n**2/5 - 6050424*n/5 + 3050635881648/5 = 0.
1008404
Solve -21*s**5/4 - 4355*s**4/2 + 10817*s**3/4 + 205*s**2/2 - 624*s = 0.
-416, -3/7, 0, 2/3, 1
Factor j**3 + 102*j**2 + 3176*j + 29952.
(j + 18)*(j + 32)*(j + 52)
What is g in -112*g**2 - 11996*g - 1284 = 0?
-107, -3/28
Find c, given that 60*c**5 + 14866*c**4/7 + 33928*c**3/7 + 24212*c**2/7 + 572*c - 726/7 = 0.
-33, -1, -1/2, 11/105
Factor 10*v**2/13 + 342*v/13 + 72.
2*(v + 3)*(5*v + 156)/13
Factor -4*n**3 + 56524*n**2 - 199995680*n + 2193118400.
-4*(n - 7060)**2*(n - 11)
Solve 24010*q**5 - 636804*q**4 + 927660*q**3 - 346552*q**2 + 32586*q - 900 = 0.
3/49, 2/5, 1, 25
Factor 4*t**4 + 356*t**3 + 5064*t**2 + 12096*t.
4*t*(t + 3)*(t + 14)*(t + 72)
Suppose 4*s**5/9 - 2588*s**4/9 + 457768*s**3/9 - 12271544*s**2/9 - 25926764*s/9 - 13194860/9 = 0. Calculate s.
-1, 35, 307
Factor -2*f**3/3 - 10*f**2 - 52*f/3.
-2*f*(f + 2)*(f + 13)/3
Factor d**3 + 5156*d**2.
d**2*(d + 5156)
Determine g, given that 5*g**2/4 - 41165*g/4 + 297395 = 0.
29, 8204
Determine l so that 2*l**5/7 + 106*l**4/7 - 1266*l**3/7 - 46*l**2 + 3568*l/7 + 360 = 0.
-63, -1, 2, 10
Solve c**4 - 13*c**3 - 19*c**2 + 73*c - 42 = 0.
-3, 1, 14
Factor 2*q**2/11 - 77212*q/11 + 745211618/11.
2*(q - 19303)**2/11
Solve -2*n**2/5 - 569624*n/5 - 40558937672/5 = 0 for n.
-142406
Factor -2*r**4 - 3096*r**3 - 1290284*r**2 - 71310168*r - 1061038178.
-2*(r + 31)**2*(r + 743)**2
Factor -2*t**2/11 + 11530*t/11 - 1048.
-2*(t - 5764)*(t - 1)/11
Solve -12*j**2 - 2762*j - 13510 = 0.
-1351/6, -5
Determine j, given that 2*j**2/5 - 285892*j + 51083897290 = 0.
357365
What is p in -p**4/2 - 8852*p**3 + 35413*p**2/2 + 8852*p - 17706 = 0?
-17706, -1, 1, 2
Factor -g**2 + 581134*g - 581133.
-(g - 581133)*(g - 1)
What is y in -y**2/7 - 488*y/7 - 15436/7 = 0?
-454, -34
Suppose 2*x**3/9 - 620*x**2/9 - 4438*x/9 = 0. Calculate x.
-7, 0, 317
Factor 365*u**3 - 739500*u**2 + 374571945*u - 10261690.
5*(u - 1013)**2*(73*u - 2)
Factor 2*k**2/7 + 1296*k/7 + 7704/7.
2*(k + 6)*(k + 642)/7
Let -j**5 + 180*j**4 - 1041*j**3 - 538*j**2 + 2772*j + 2088 = 0. Calculate j.
-1, 2, 6, 174
Let 45*t**4 - 2415*t**3 - 13735*t**2 - 24825*t - 14750 = 0. What is t?
-2, -5/3, 59
Solve 132*t**4/7 - 4150*t**3 - 26952*t**2/7 - 2210*t/7 = 0.
-5/6, -1/11, 0, 221
What is n in 2*n**2 + 7684*n + 7380482 = 0?
-1921
Factor p**2/3 - 339500*p/3 + 28815062500/3.
(p - 169750)**2/3
What is p in 505521*p**2/4 - 30573*p + 1849 = 0?
86/711
Factor s**3/4 + 7*s**2/2 - 140*s - 600.
(s - 20)*(s + 4)*(s + 30)/4
Find k such that -92*k**3 - 1144*k**2 - 1052*k = 0.
-263/23, -1, 0
Solve -t**3 + 2126*t**2 - 1134209*t + 4502884 = 0.
4, 1061
Factor 2*o**2/3 - 116*o - 8624/3.
2*(o - 196)*(o + 22)/3
Determine d, given that d**2/3 - 4457*d + 13370/3 = 0.
1, 13370
Factor n**3/3 + 1027*n**2/3 - 5922*n - 6264.
(n - 18)*(n + 1)*(n + 1044)/3
Determine v, given that -v**2/6 + 756*v - 4533/2 = 0.
3, 4533
Suppose 8*l**2 - 46364*l - 23184 = 0. Calculate l.
-1/2, 5796
Factor 4*h**4 - 788*h**3 + 6876*h**2 - 20412*h + 20304.
4*(h - 188)*(h - 3)**3
What is t in -5*t**3 - 4119*t**2/2 - 164929*t + 33027/2 = 0?
-303, -109, 1/10
Find l, given that 11*l**5 + 876*l**4 + 22846*l**3 + 184032*l**2 - 286497*l + 78732 = 0.
-27, 4/11, 1
Suppose 14*t**5/3 - 482*t**4/3 - 53440*t**3/7 + 84472*t**2/3 + 376832*t/21 + 18560/7 = 0. What is t?
-29, -2/7, 4, 60
Factor b**3/6 - 7*b**2 + 431*b/6 - 117.
(b - 27)*(b - 13)*(b - 2)/6
Factor 3*t**2/8 + 36813*t/8.
3*t*(t + 12271)/8
Solve 3*d**5 + 108939*d**4 + 990009825*d**3 + 18779585973*d**2 + 79024377960*d - 98794082700 = 0 for d.
-18147, -10, 1
Find u, given that 5*u**2 + 12735*u - 192150 = 0.
-2562, 15
Factor -12330578*g**4 + 73978502*g**3 - 221890813*g**2/2 - 44691*g - 9/2.
-(g - 3)**2*(4966*g + 1)**2/2
Find p, given that -p**3/3 - 3359*p**2 - 160656*p - 1925568 = 0.
-10029, -24
Factor 5*a**2 - 71190*a + 253400805.
5*(a - 7119)**2
Factor 3*n**3/5 - 38136*n**2/5 - 76281*n/5 - 38142/5.
3*(n - 12714)*(n + 1)**2/5
Suppose 3*a**5 + 14132*a**4 - 32989*a**3 + 9426*a**2 = 0. What is a?
-4713, 0, 1/3, 2
Let 5*u**5 + 1790*u**4 + 73380*u**3 + 509320*u**2 + 1213600*u + 948480 = 0. What is u?
-312, -38, -4, -2
Solve -2*j**3/13 - 110*j**2/13 - 1886*j/13 - 9522/13 = 0.
-23, -9
Factor -2*t**2/9 - 13442*t/9.
-2*t*(t + 6721)/9
Factor v**3 - 363*v**2 + 12711*v - 117325.
(v - 325)*(v - 19)**2
Let 3*h**4/2 + 3*h**3/2 - 21*h**2/2 - 39*h/2 - 9 = 0. Calculate h.
-2, -1, 3
Determine t, given that t**5/7 - 1187*t**4 - 149805*t**3/7 - 674487*t**2/7 = 0.
-9, 0, 8327
Find l, given that 3*l**3/7 - 5248*l**2/7 + 151300*l/7 + 103200/7 = 0.
-2/3, 30, 1720
Determine m, given that 2*m**3 + 1124090*m**2 + 157947853056*m + 157946728968 = 0.
-281022, -1
Let -4*z**5 - 148*z**4 + 2004*z**3 + 74612*z**2 - 317440*z + 322896 = 0. Calculate z.
-31, 2, 21
Factor 40*m**2/3 + 477*m - 2392/3.
(5*m - 8)*(8*m + 299)/3
Factor -3*q**3 + 240*q**2 - 624*q - 194688.
-3*(q - 52)**2*(q + 24)
Find g such that 2*g**5/21 - 422*g**4/21 + 6676*g**3/7 + 838328*g**2/21 - 8845616*g/3 + 20353792/7 = 0.
-48, 1, 86
Factor 5*r**3 + 38905*r**2 - 233565*r + 350415.
5*(r - 3)**2*(r + 7787)
Let -3*p**4 + 90*p**3 + 1524*p**2 - 360*p - 6048 = 0. What is p?
-12, -2, 2, 42
Determine l so that 4*l**4/9 + 1520*l**3/9 - 1052*l**2 - 78920*l/9 - 67936/9 = 0.
-386, -4, -1, 11
Find b such that -4*b**2 - 105920*b - 701190400 = 0.
-13240
Let -3*d**5 - 97272*d**4 - 788194971*d**3 + 4731504594*d**2 - 9464565780*d + 6310229400 = 0. What is d?
-16215, 2
Let 15*t**2 - 355*t + 930 = 0. Calculate t.
3, 62/3
Factor 2*q**2/7 + 39092*q/7 + 191023058/7.
2*(q + 9773)**