-2*n**4/3 + 374*n**3/3 + 2*n**2/3 - 374*n/3 = 0. Calculate n.
-1, 0, 1, 187
Factor -5*j**2 + 6955*j - 13890.
-5*(j - 1389)*(j - 2)
Solve -3*r**5/2 - 75*r**4/2 + 429*r**3/2 - 621*r**2/2 + 135*r = 0 for r.
-30, 0, 1, 3
Solve -z**4 - 2513*z**3 - 22536*z**2 + 108*z + 270432 = 0.
-2504, -6, 3
Find v such that -32*v**4 + 2898576*v**3 + 1449326*v**2 - 2717412*v - 1630458 = 0.
-3/4, 1, 90581
Let 4*z**4 + 176*z**3 - 1068*z**2 - 4376*z - 3136 = 0. What is z?
-49, -2, -1, 8
Let -4*b**5 - 38624*b**4 + 77276*b**3 + 115880*b**2 - 154544*b - 154528 = 0. What is b?
-9658, -1, 2
Factor -4*b**5/5 - 304*b**4/5 - 8152*b**3/5 - 90288*b**2/5 - 352836*b/5.
-4*b*(b + 11)**2*(b + 27)**2/5
Solve -2*v**5 + 4072*v**4 + 2*v**3 - 4072*v**2 = 0 for v.
-1, 0, 1, 2036
Let 2*s**2/9 + 8894*s/9 - 8896/9 = 0. What is s?
-4448, 1
Factor 4*k**2 + 352*k + 6588.
4*(k + 27)*(k + 61)
Find k, given that k**3/5 - 21*k**2 + 1307*k/5 - 3003/5 = 0.
3, 11, 91
Determine v, given that 1120*v**5 + 3372*v**4 + 2195*v**3 - 217*v**2 - 156*v + 4 = 0.
-2, -1, -2/7, 1/40, 1/4
Solve 2*x**3/7 - 306*x**2/7 - 3218*x/7 - 978 = 0.
-7, -3, 163
Factor -4*w**2 + 145480*w + 145484.
-4*(w - 36371)*(w + 1)
Find b, given that 4*b**2 + 100700*b + 704704 = 0.
-25168, -7
Find f such that 8*f**3/3 + 414*f**2 + 6994*f + 5168/3 = 0.
-136, -19, -1/4
Determine y so that -y**3 + 773*y**2 - 1543*y + 771 = 0.
1, 771
Factor -2*s**2/13 - 6446*s/13.
-2*s*(s + 3223)/13
Suppose -7*p**5 - 269*p**4 - 1066*p**3 - 408*p**2 = 0. Calculate p.
-34, -4, -3/7, 0
Determine p, given that 5*p**2/6 - 1165*p/2 + 101745 = 0.
342, 357
Factor 2*k**5 + 10052*k**4 + 80320*k**3 + 160576*k**2.
2*k**2*(k + 4)**2*(k + 5018)
Factor -3*h**3 - 24196*h**2 + 40337*h + 16134.
-(h - 2)*(h + 8067)*(3*h + 1)
Let 3*n**3/5 - 168*n**2/5 + 279*n/5 + 486 = 0. Calculate n.
-3, 5, 54
Factor 4*s**3 - 62880*s**2 - 188668*s - 125784.
4*(s - 15723)*(s + 1)*(s + 2)
Suppose -3*z**5/2 + 10848*z**4 - 19645665*z**3 + 117321348*z**2 + 587246181*z/2 + 156645228 = 0. What is z?
-1, 8, 3613
Factor 2079*y**3/5 + 74013*y**2 + 16468293*y/5 + 23763/5.
3*(y + 89)**2*(693*y + 1)/5
Factor -4*p**3 + 265824*p**2 - 4416665748*p + 8832268232.
-4*(p - 33227)**2*(p - 2)
Factor -4*s**3 + 692*s**2 + 2112*s.
-4*s*(s - 176)*(s + 3)
Determine g so that 2*g**2 - 4430*g + 17688 = 0.
4, 2211
Determine q, given that -3*q**3 - 21918*q**2 - 40055136*q - 80022624 = 0.
-3652, -2
Solve 4*z**2/3 + 132*z + 9176/3 = 0 for z.
-62, -37
Determine b, given that -3*b**4/4 - 699*b**3/4 - 18585*b**2/2 - 35097*b - 34410 = 0.
-155, -74, -2
Factor -c**4 + 128*c**3 - 119*c**2 - 1028*c + 1524.
-(c - 127)*(c - 2)**2*(c + 3)
Factor -28*h**3 - 128*h**2 - 1325*h/7 - 625/7.
-(h + 1)*(14*h + 25)**2/7
Suppose -3*x**5 - 1008*x**4 - 9888*x**3 - 35376*x**2 - 54864*x - 31296 = 0. Calculate x.
-326, -4, -2
What is x in -2*x**5/5 + 184*x**4/5 - 1946*x**3/5 - 107708*x**2/5 - 537152*x/5 + 1517824/5 = 0?
-11, 2, 56
Factor n**3/2 - 2686*n**2 + 48257*n/2 + 26815.
(n - 5363)*(n - 10)*(n + 1)/2
Determine h, given that 405*h**5 + 1407*h**4 + 588*h**3 - 1584*h**2 - 768*h - 48 = 0.
-2, -2/5, -2/27, 1
Factor 3*m**4 - 279*m**3 + 5175*m**2 + 11199*m + 5742.
3*(m - 66)*(m - 29)*(m + 1)**2
Factor 5*l**4 + 2305*l**3 - 4705*l**2 - 34725*l.
5*l*(l - 5)*(l + 3)*(l + 463)
Determine l so that -2*l**4/5 + 832*l**3/5 + 18114*l**2/5 + 20936*l + 17480 = 0.
-10, -1, 437
Determine l, given that -1642545*l**4 + 37564290*l**3 - 31836600*l**2 + 9148000*l - 880000 = 0.
20/69, 22
Solve -t**3 - 35158*t**2 - 35155*t + 70314 = 0.
-35157, -2, 1
Factor 5*w**2 + 4407*w + 6160.
(w + 880)*(5*w + 7)
Solve -2*h**3/13 - 24*h**2/13 + 26*h - 840/13 = 0 for h.
-21, 4, 5
Let -q**4 + 6442*q**3 - 6436*q**2 - 32202*q - 19323 = 0. What is q?
-1, 3, 6441
Suppose -q**3/2 - 107*q**2/2 - 258*q - 306 = 0. What is q?
-102, -3, -2
Determine o so that -o**5/4 + 101*o**4 - 40803*o**3/4 - 101*o**2 + 10201*o = 0.
-1, 0, 1, 202
Factor -4*y**4 - 2052*y**3 + 142600*y**2.
-4*y**2*(y - 62)*(y + 575)
Let 15*l**4/2 + 3057*l**3/2 + 51678*l**2 - 2886312*l - 2341344 = 0. Calculate l.
-116, -4/5, 29
Factor 5*n**4 - 1815*n**3 - 41925*n**2 - 163625*n.
5*n*(n - 385)*(n + 5)*(n + 17)
Factor 2*u**3/9 - 94*u**2/3 - 11782*u/3 - 839446/9.
2*(u - 227)*(u + 43)**2/9
Determine h so that -4*h**2 - 28396*h + 56808 = 0.
-7101, 2
Factor -v**2/6 + 3842*v/3 + 7685/6.
-(v - 7685)*(v + 1)/6
Factor -25*b**2 + 4975960*b - 1990380.
-5*(b - 199038)*(5*b - 2)
Factor -3*p**2/5 - 756*p/5 + 295104/5.
-3*(p - 212)*(p + 464)/5
What is v in -488*v**2/5 + 3514*v - 72/5 = 0?
1/244, 36
Factor -4*x**2 - 283980*x + 851976.
-4*(x - 3)*(x + 70998)
Suppose c**5/3 - c**4 - 470*c**3/3 - 300*c**2 + 1864*c/3 + 1216 = 0. What is c?
-19, -2, 2, 24
Factor -3*p**3/5 + 17820*p**2 + 178212*p/5.
-3*p*(p - 29702)*(p + 2)/5
Let u**5/5 - 456*u**4 + 13653*u**3/5 - 4094*u**2 + 9096*u/5 = 0. Calculate u.
0, 1, 4, 2274
Solve -4*d**5/7 - 136*d**4/7 - 944*d**3/7 + 544*d**2/7 + 3840*d/7 = 0.
-24, -10, -2, 0, 2
Find f such that -12*f**4 + 87083*f**3 - 158028426*f**2 + 144800736*f - 26324768 = 0.
1/4, 2/3, 3628
Factor 2*r**4/7 + 2*r**3 + 10*r**2/7 - 2*r - 12/7.
2*(r - 1)*(r + 1)**2*(r + 6)/7
Suppose -38*i**4 - 1684*i**3 - 12080*i**2 - 25536*i - 6912 = 0. What is i?
-36, -4, -6/19
Solve 4*l**5 + 248*l**4 + 428*l**3 - 3176*l**2 - 3264*l + 5760 = 0 for l.
-60, -4, -2, 1, 3
Determine w so that 21*w**4 + 1704*w**3 - 3267*w**2 - 2442*w + 3984 = 0.
-83, -8/7, 1, 2
Factor 2*y**4 - 8140*y**3 + 8323050*y**2 - 82621000*y + 206045000.
2*(y - 2030)**2*(y - 5)**2
Solve 14*j**4 + 480*j**3 + 1046*j**2 + 708*j + 128 = 0.
-32, -1, -2/7
Factor p**4 + 19*p**3 + 18*p**2.
p**2*(p + 1)*(p + 18)
Let -x**4/10 + 31*x**3/10 + 769*x**2/10 + 2321*x/10 - 312 = 0. What is x?
-13, -5, 1, 48
Factor -5*d**4 - 29865*d**3 + 269055*d**2 - 807435*d + 807570.
-5*(d - 3)**3*(d + 5982)
Factor 2*a**3 + 280*a**2 - 13962*a.
2*a*(a - 39)*(a + 179)
Let 3*q**2 + 4887*q + 48570 = 0. Calculate q.
-1619, -10
Let -2*d**3/5 - 848*d**2/5 - 23138*d - 1026260 = 0. Calculate d.
-194, -115
Let -2*z**2/7 + 1004*z/7 + 8160/7 = 0. Calculate z.
-8, 510
Solve 2*r**4 - 368*r**3 + 16556*r**2 + 34224*r + 17298 = 0.
-1, 93
Factor 2*v**2 - 14832*v - 14834.
2*(v - 7417)*(v + 1)
Factor -3*r**2/2 + 16767*r - 33528.
-3*(r - 11176)*(r - 2)/2
Find l such that 4*l**5 + 1943404*l**4 + 314733629992*l**3 + 16990055721983192*l**2 - 33981055652629996*l + 16990685195073404 = 0.
-161951, 1
Factor f**3/11 - 43523*f**2/11 - 261165*f/11 - 391761/11.
(f - 43529)*(f + 3)**2/11
Solve -2*s**3/5 + 192*s**2/5 + 5958*s/5 + 11132/5 = 0.
-23, -2, 121
Factor 3*q**3/4 + 5703*q**2/4 - 5712*q + 5715.
3*(q - 2)**2*(q + 1905)/4
Factor -3*v**3 - 6267*v**2 + 88179*v - 309141.
-3*(v - 7)**2*(v + 2103)
What is m in -2*m**2/5 - 184*m - 10920 = 0?
-390, -70
Factor 4*n**2 - 128960*n + 1039417600.
4*(n - 16120)**2
Factor 2*r**3 - 250*r**2 - 17874*r - 260982.
2*(r - 179)*(r + 27)**2
Factor -3*f**2/7 + 347931*f/7 - 49704.
-3*(f - 115976)*(f - 1)/7
Suppose -o**3/4 + 7*o**2/2 + 851*o/4 = 0. Calculate o.
-23, 0, 37
Factor -4*s**3 - 8992*s**2.
-4*s**2*(s + 2248)
Determine w, given that -2*w**3 + 302962*w**2 - 11473398160*w + 11473095200 = 0.
1, 75740
Determine q so that -2*q**2 - 109708*q - 109706 = 0.
-54853, -1
Determine t, given that -5*t**2 + 145860*t - 1166560 = 0.
8, 29164
Let -10*y**2/9 - 573836*y/9 + 25504 = 0. What is y?
-57384, 2/5
Factor -5*h**2 + 7530*h.
-5*h*(h - 1506)
Solve -762*h**4/7 + 13323*h**3/7 + 37167*h**2/7 + 23442*h/7 + 360/7 = 0 for h.
-3/2, -1, -2/127, 20
Factor -5*c**2 + 3070*c - 39065.
-5*(c - 601)*(c - 13)
What is m in m**5/6 - 260*m**4/3 + 21647*m**3/2 + 346885*m**2/3 + 561800*m/3 = 0?
-8, -2, 0, 265
Factor -229842*w**3 + 234362*w**2 - 40880*w/9 + 200/9.
-2*(w - 1)*(1017*w - 10)**2/9
Suppose 7*n**4/2 - 347*n**3/2 + 809*n**2/2 + 1727*n/2 + 282 = 0. Calculate n.
-1, -3/7, 4, 47
Solve -3*w**2 + 495*w + 65772 = 0 for w.
-87, 252
Factor o**3/10 + 105*o**2 + 12467*o/10 + 5709/5.
(o + 1)*(o + 11)*(o + 1038)/10
Factor z**4/2 + 149*z**3 + 11394*z**2 + 43659*z + 64827/2.
(z + 1)*(z + 3)*(z + 147)**2/2
Find k, given that 14*k**4/9 + 272*k**3/3 - 7622*k**2/9 - 10912*k/3 - 968 = 0.
-66, -3, -2/7, 11
Factor -q**3/6 - 160469*q**2/6.
-q**2*(q + 160469)/6
Factor -2*j**2 + 270688*j - 9158999168.
-2*(j - 67672)**2
Factor u**3 + 2827*u**2 + 168786*u + 165960.
(u