20 = 0.
-5, -1, 1, 3, 4
Determine r, given that 3*r**3 + 273*r**2 + 4368*r - 22032 = 0.
-68, -27, 4
What is d in -6*d**3 - 4930*d**2 + 6582*d - 1646 = 0?
-823, 1/3, 1
Suppose -2*a**5/15 - 44*a**4/5 - 482*a**3/5 + 18556*a**2/15 + 6624*a/5 = 0. What is a?
-46, -27, -1, 0, 8
Find n, given that 3*n**3 + 30546*n**2 - 61101*n + 30552 = 0.
-10184, 1
What is w in -w**3/10 - 53663*w**2/10 - 107323*w/10 - 53661/10 = 0?
-53661, -1
Let -2*u**3/11 - 44*u**2 + 17024*u/11 - 140288/11 = 0. What is u?
-274, 16
What is p in -5*p**2 + 3089100*p - 477126940500 = 0?
308910
Factor -x**5 - 23*x**4 - 96*x**3 - 104*x**2 + 80*x + 144.
-(x - 1)*(x + 2)**3*(x + 18)
Factor -p**2/2 - 447452*p - 100106646152.
-(p + 447452)**2/2
Let 3*f**3 - 22344*f**2 + 41582175*f + 83253750 = 0. What is f?
-2, 3725
Solve 3*j**2 - 3159*j - 949404 = 0.
-244, 1297
Find o such that 3*o**2 - 32583*o + 325530 = 0.
10, 10851
What is m in 2*m**2/7 + 1082*m/7 + 17604 = 0?
-378, -163
Let -5*f**2 - 800*f - 27500 = 0. Calculate f.
-110, -50
Factor v**2 - 1144*v + 18048.
(v - 1128)*(v - 16)
Suppose 5*k**3 - 390*k**2 + 1885*k + 19800 = 0. What is k?
-5, 11, 72
Let i**5 + 3667*i**4 - i**3 - 3667*i**2 = 0. Calculate i.
-3667, -1, 0, 1
Let -268*v**2/5 - 1554*v + 58/5 = 0. What is v?
-29, 1/134
Find n such that -20105428614*n**3 - 3352294057*n**2 - 231572*n - 4 = 0.
-1/6, -2/57887
Factor 3*d**2 - 1734*d - 1737.
3*(d - 579)*(d + 1)
What is l in 2*l**3/5 - 1366*l**2/5 + 89204*l/5 - 17568 = 0?
1, 72, 610
Factor 4*g**3 + 247080*g**2 - 4*g - 247080.
4*(g - 1)*(g + 1)*(g + 61770)
What is x in 3*x**5 + 1848*x**4 + 3681*x**3 - 1848*x**2 - 3684*x = 0?
-614, -2, -1, 0, 1
What is d in 2*d**5/21 + 30*d**4/7 - 1514*d**3/21 + 82*d**2/7 + 11808*d/7 + 18792/7 = 0?
-58, -3, -2, 9
What is t in -9*t**5 + 231*t**4 + 14187*t**3 - 100683*t**2 + 199746*t - 92664 = 0?
-33, 2/3, 3, 52
Factor -5*r**3 + 1000*r**2 + 7535*r - 6944530.
-5*(r - 137)**2*(r + 74)
Factor 394876*y**2 + 394884*y + 8.
4*(y + 1)*(98719*y + 2)
Solve -4*k**3 + 1528*k**2 + 37172*k + 35640 = 0.
-22, -1, 405
Let 3*y**5 - 537*y**4 - 567*y**3 + 4893*y**2 - 5952*y + 2160 = 0. What is y?
-4, 1, 180
Find f such that 3*f**3/7 - 939*f**2/7 - 1389*f + 10659/7 = 0.
-11, 1, 323
Factor -2*j**3 - 3029*j**2/3 - 127848*j - 105840.
-(j + 252)**2*(6*j + 5)/3
Factor -2*d**3/5 - 31944*d**2/5.
-2*d**2*(d + 15972)/5
Factor v**3/2 + 30354*v**2 + 121413*v/2 + 30353.
(v + 1)**2*(v + 60706)/2
Determine b so that b**2/2 + 994*b = 0.
-1988, 0
Factor g**4 + 728*g**3 + 134662*g**2 + 788424*g + 1172889.
(g + 3)**2*(g + 361)**2
Let o**3/8 - 2403*o**2/8 + 1430295*o/8 + 16025339/8 = 0. What is o?
-11, 1207
Factor -2*g**2 + 2442*g - 279808.
-2*(g - 1093)*(g - 128)
Factor 5*v**3 + 2780*v**2 + 69745*v + 447850.
5*(v + 13)**2*(v + 530)
Factor -2*b**4 + 94*b**3 + 1938*b**2 + 4914*b.
-2*b*(b - 63)*(b + 3)*(b + 13)
Determine p, given that 5*p**4 + 2495*p**3 + 71310*p**2 + 447680*p - 1200640 = 0.
-469, -16, 2
Suppose -3*l**2 - 21219*l - 948780 = 0. What is l?
-7028, -45
Let 3*g**4/4 - 1945*g**3/4 + 11771*g**2/2 - 1584*g - 3816 = 0. Calculate g.
-2/3, 1, 12, 636
Factor -3*p**3/2 - 176253*p**2/2 - 2587790337*p/2 + 28487024313/2.
-3*(p - 11)*(p + 29381)**2/2
Factor 19*j**2/5 - 149*j/5.
j*(19*j - 149)/5
Solve 3*a**4/8 + 859131*a**3/4 + 246035358387*a**2/8 = 0.
-286377, 0
Factor 3*v**3/4 + 15*v**2 - 237*v/4 - 345/2.
3*(v - 5)*(v + 2)*(v + 23)/4
What is n in -5*n**2 + 589420*n - 17370796820 = 0?
58942
Solve -4*f**3 - 7100*f**2 - 21264*f = 0.
-1772, -3, 0
Factor -u**2/2 - 6918*u - 41499/2.
-(u + 3)*(u + 13833)/2
Solve -4*y**3 - 18096*y**2 + 126820*y - 217488 = 0.
-4531, 3, 4
Let -2*y**3 - 2936*y**2 - 1103450*y - 18922500 = 0. Calculate y.
-725, -18
Find w, given that 2*w**2/11 + 1756*w/11 + 1754/11 = 0.
-877, -1
Let -3*z**2/4 + 591269*z/4 - 197089/2 = 0. Calculate z.
2/3, 197089
Determine l, given that -265*l**4 + 345*l**3 + 2015*l**2 - 345*l - 1750 = 0.
-2, -1, 1, 175/53
What is m in -5*m**2/4 - 260*m + 3300 = 0?
-220, 12
Solve 4*k**5/3 - 164*k**4/3 + 1444*k**3/3 + 22100*k**2/3 - 436696*k/3 + 1968512/3 = 0 for k.
-14, 13, 16
Solve 2*l**5/3 + 9646*l**4 - 173684*l**3/3 + 77204*l**2 + 57894*l - 86850 = 0 for l.
-14475, -1, 1, 3
Solve -o**2 + 445*o - 4350 = 0.
10, 435
Factor g**3/2 + 183*g**2/2 + 4081*g.
g*(g + 77)*(g + 106)/2
Factor -14*m**3 - 5260160*m**2 - 494093591862*m + 141170027076.
-2*(m + 187863)**2*(7*m - 2)
Find y, given that 4*y**4 - 356*y**3 - 2284*y**2 + 260*y + 11400 = 0.
-5, -3, 2, 95
Factor -4*c**4 - 208*c**3 - 2468*c**2 + 5800*c.
-4*c*(c - 2)*(c + 25)*(c + 29)
Find u, given that -2*u**5/17 + 8*u**4/17 + 50*u**3/17 - 176*u**2/17 + 120*u/17 = 0.
-5, 0, 1, 2, 6
Factor 5*a**4 + 1295*a**3 - 5235*a**2 + 6565*a - 2630.
5*(a - 2)*(a - 1)**2*(a + 263)
Suppose 5*n**3 - 170*n**2 - 453955*n - 47824200 = 0. What is n?
-163, 360
Solve 3*z**5 + 720*z**4 + 43179*z**3 - 5058*z**2 - 306720*z - 259200 = 0 for z.
-120, -2, -1, 3
Suppose 16*c**4/3 - 253736*c**3/3 + 380532*c**2 - 570762*c + 285372 = 0. Calculate c.
3/2, 15854
Suppose 2*k**3/3 - 658*k**2 + 166996*k/3 - 212176 = 0. What is k?
4, 89, 894
Factor -3*x**3/7 - 53841*x**2/7 - 241598025*x/7 - 241544187/7.
-3*(x + 1)*(x + 8973)**2/7
Factor -2*d**2 - 150278*d.
-2*d*(d + 75139)
Factor l**3/3 + 2585*l**2 - 7756*l/3.
l*(l - 1)*(l + 7756)/3
Solve -2*m**4/5 - 916*m**3/5 - 103954*m**2/5 + 42872*m + 63480 = 0.
-230, -1, 3
Let -227*v**3/5 - 904*v**2/5 - 133*v + 12/5 = 0. What is v?
-3, -1, 4/227
Let 2*u**5/3 + 7*u**4 + 22*u**3/3 - 17*u**2 - 18*u = 0. Calculate u.
-9, -2, -1, 0, 3/2
Determine u so that 35*u**5 + 14860*u**4 - 21445*u**3 - 61830*u**2 - 25560*u = 0.
-426, -1, -4/7, 0, 3
Find f such that -2*f**4/15 - 165378*f**3/5 - 2734922134*f**2 - 1130603123677426*f/15 + 2261698569061484/5 = 0.
-82691, 6
Let 9*v**2/7 - 2712*v/7 = 0. What is v?
0, 904/3
Let -y**3/3 + 118*y**2 + 1225*y/3 - 18326 = 0. Calculate y.
-14, 11, 357
Solve -3*y**5 - 30*y**4 + 2697*y**3 - 20160*y**2 - 51300*y = 0.
-38, -2, 0, 15
Let -4556*u**2/3 - 9113*u - 6 = 0. Calculate u.
-6, -3/4556
Factor -10*y**3/9 + 148*y**2/9 + 64*y/3.
-2*y*(y - 16)*(5*y + 6)/9
Factor -42483*r**4 - 139230*r**3 - 168339*r**2 - 88920*r - 17328.
-3*(r + 1)**2*(119*r + 76)**2
Factor 5*o**2 + 2802000*o + 392560200000.
5*(o + 280200)**2
Solve -5*i**3 - 5015*i**2 - 69475*i - 242305 = 0.
-989, -7
Factor -z**3/3 - 16013*z**2/3 + 64064*z/3 - 21356.
-(z - 2)**2*(z + 16017)/3
Solve 154*g**3/15 - 1082*g**2/15 + 1568*g/15 - 8/3 = 0 for g.
2/77, 2, 5
Factor t**2/3 - 8768*t/3 + 19219456/3.
(t - 4384)**2/3
Determine z so that 6972*z**2 - 613539*z/4 + 33/2 = 0.
1/9296, 22
Factor 4*h**3/7 + 328*h**2/7 + 5220*h/7 - 64800/7.
4*(h - 8)*(h + 45)**2/7
Factor -2*s**3 - 2262*s**2 - 24660*s - 22400.
-2*(s + 1)*(s + 10)*(s + 1120)
Factor 5*u**3 - 17915*u**2 + 53700*u.
5*u*(u - 3580)*(u - 3)
Find f such that -f**2 - 16613*f + 99714 = 0.
-16619, 6
Solve 3*y**5/2 - 6*y**4 - 9*y**3 + 48*y**2 - 105*y/2 + 18 = 0.
-3, 1, 4
What is k in 10*k**3/9 - 107728*k**2/9 + 193874*k/9 + 43084/9 = 0?
-1/5, 2, 10771
Factor -4*l**4 + 13196*l**3 - 974700*l**2 + 24242500*l - 201500000.
-4*(l - 3224)*(l - 25)**3
Factor -4*o**3 - 3012*o**2 - 14960*o.
-4*o*(o + 5)*(o + 748)
Factor -19*b**4/3 - 539*b**3 - 170*b**2/3.
-b**2*(b + 85)*(19*b + 2)/3
Factor -3*t**2 + 1404*t - 117393.
-3*(t - 359)*(t - 109)
Let 3*v**2 - 444*v - 900 = 0. What is v?
-2, 150
What is n in n**4/2 + 515*n**3 + 310613*n**2/8 - 313705*n/8 + 19671/2 = 0?
-948, -83, 1/2
Factor -k**3/6 + 341*k**2/6 + 20800*k/3 + 183750.
-(k - 441)*(k + 50)**2/6
Factor 3*n**2/5 - 342*n/5 + 1947.
3*(n - 59)*(n - 55)/5
Factor 2*l**3 + 1198*l**2 - 18*l - 10782.
2*(l - 3)*(l + 3)*(l + 599)
What is u in 2*u**3/9 - 332*u**2 - 48254*u/3 - 141772/9 = 0?
-46, -1, 1541
Find z such that z**5/2 + 84*z**4 + 3848*z**3 + 26880*z**2 + 51200*z = 0.
-80, -4, 0
Factor -5*k**3 - 44240*k**2 + 487195*k - 442950.
-5*(k - 10)*(k - 1)*(k + 8859)
Factor 1818*r**2 - 3633*r - 6.
3*(r - 2)*(606*r + 1)
Solve -3*g**4 + 936*g**3 + 42840*g**2 + 616224*g + 2914128 = 0 for g.
-14, 354
What is z in 3*z**5 - 3*z**4 - 9*z**3 + 15*z**2 - 6*z = 0?
-2, 0, 1
Solve 3*l**4/2 - 5019*l**3/2 + 1302696*l**2 - 148771968*l - 32054839296 = 0 for l.
-103, 592
Let 3*f**5 - 2766*f**3 + 43044*f**2 - 232029*f + 413364 = 0. Calculate f.
-37, 4, 7, 19
Factor w**4 + 1165*w**3 + 53121