d p such that -3*p**2/4 + 87009*p/2 = 0.
0, 58006
Determine g, given that g**4 - 128*g**3 - 4054*g**2 - 20200*g - 16275 = 0.
-21, -5, -1, 155
Solve 3*m**4/5 + 18*m**3 + 999*m**2/5 + 972*m + 8748/5 = 0 for m.
-9, -6
Factor u**3 + 669*u**2 - 6774*u + 10864.
(u - 8)*(u - 2)*(u + 679)
Factor -32*q**3/13 - 25712*q**2/13 - 5073730*q/13 + 36786974/13.
-2*(q - 7)*(4*q + 1621)**2/13
Factor 2*k**2 + 9020*k - 9022.
2*(k - 1)*(k + 4511)
Determine x, given that -5*x**3 + 1731685*x**2 - 149937512800*x + 149935781120 = 0.
1, 173168
Solve 924*n**2 - 127520*n + 1104 = 0.
2/231, 138
Factor -2*d**2/9 - 6698*d/9 - 6680.
-2*(d + 9)*(d + 3340)/9
Let -2*h**2 - 2236*h = 0. What is h?
-1118, 0
Solve a**4/2 - 27*a**3/2 - 347*a**2/2 - 837*a/2 - 259 = 0 for a.
-7, -2, -1, 37
Determine t so that t**2/2 + 201535*t/2 - 100768 = 0.
-201536, 1
Find x such that -3*x**4 + 15*x**3 + 4464*x**2 - 9204*x - 1622400 = 0.
-26, 25, 32
Suppose 2*c**3 + 270*c**2 + 7000*c = 0. Calculate c.
-100, -35, 0
Factor -2*h**3/5 + 784*h**2/5 - 2326*h/5 - 3112/5.
-2*(h - 389)*(h - 4)*(h + 1)/5
Factor -n**2/4 - 6311*n/2.
-n*(n + 12622)/4
What is g in 567*g**5 - 6354*g**4 + 6963*g**3 + 39588*g**2 - 8364*g + 432 = 0?
-2, 2/21, 1/9, 4, 9
Let -5*g**3 + 83035*g**2 - 344699040*g - 344782080 = 0. What is g?
-1, 8304
Factor -4*v**3 + 72708*v**2 - 1743264*v + 10456128.
-4*(v - 18153)*(v - 12)**2
Factor z**2 + 15332*z + 58767556.
(z + 7666)**2
Find y such that 4*y**3 - 988*y**2 - 4000*y - 4016 = 0.
-2, 251
Suppose f**4/8 + 13523*f**3/8 + 45778683*f**2/8 + 411021553*f/8 + 45657049 = 0. What is f?
-6757, -8, -1
Suppose -v**5 - 89*v**4 - 2050*v**3 + 10150*v**2 + 483875*v - 2358125 = 0. Calculate v.
-35, 5, 11
Solve -4*y**5/7 - 320*y**4/7 + 76*y**3 + 43088*y**2/7 + 42240*y/7 = 0.
-80, -11, -1, 0, 12
Let -s**2/6 + 13189*s/6 - 2198 = 0. Calculate s.
1, 13188
Suppose -9*w**5 - 555*w**4 - 7266*w**3 + 39906*w**2 - 41877*w + 9801 = 0. Calculate w.
-33, 1/3, 1, 3
Factor -d**3/5 - 9394*d**2/5 - 22089964*d/5 - 132201816/5.
-(d + 6)*(d + 4694)**2/5
Suppose 3*z**3/5 - 1122*z**2/5 - 21072*z/5 - 37632/5 = 0. Calculate z.
-16, -2, 392
Suppose -d**3/11 + 243*d**2/11 - 6839*d/11 + 18357/11 = 0. Calculate d.
3, 29, 211
Let -91*g**5/11 - 34036*g**4/11 - 3148711*g**3/11 + 6329206*g**2/11 - 3075680*g/11 - 70688/11 = 0. What is g?
-188, -2/91, 1
Factor 2*s**2/11 + 105828*s + 15399402678.
2*(s + 291027)**2/11
Factor 3*d**2 + 858*d - 19341.
3*(d - 21)*(d + 307)
Let -3*d**3 - 30*d**2 + 2553*d - 2520 = 0. What is d?
-35, 1, 24
Factor 2*r**2/3 - 1496*r/3 + 85064/3.
2*(r - 686)*(r - 62)/3
Find q, given that -2*q**4 + 98*q**3 - 964*q**2 + 832*q + 6336 = 0.
-2, 4, 11, 36
Let -2*j**4/9 + 16*j**3/3 - 328*j**2/9 + 32*j + 256 = 0. Calculate j.
-2, 6, 8, 12
Factor 3783*j**2 + 378291*j - 900.
3*(j + 100)*(1261*j - 3)
Solve 3*x**2/2 + 813*x/2 - 17613 = 0.
-309, 38
Factor 2*v**3/7 + 30*v**2/7 - 408*v/7 - 920/7.
2*(v - 10)*(v + 2)*(v + 23)/7
Let u**2/2 + 85*u - 1092 = 0. Calculate u.
-182, 12
Suppose -r**2/10 + 1537*r - 15369/10 = 0. What is r?
1, 15369
Factor -k**2 + 77*k - 976.
-(k - 61)*(k - 16)
Factor -5*b**2 - 4020*b - 112375.
-5*(b + 29)*(b + 775)
Find u, given that -2*u**3/3 - 112*u**2 - 1664*u - 19456/3 = 0.
-152, -8
Find l, given that 2*l**5/11 - 60*l**4/11 - 234*l**3/11 + 108*l**2 = 0.
-6, 0, 3, 33
Factor -2*z**2 - 150500*z + 301008.
-2*(z - 2)*(z + 75252)
Factor 2*j**5/9 + 20*j**4/9 - 842*j**3/3 - 12880*j**2/9 + 829472*j/9.
2*j*(j - 23)**2*(j + 28)**2/9
Factor 2*q**4/11 + 11074*q**3/11 + 15323646*q**2/11 - 15334722*q/11.
2*q*(q - 1)*(q + 2769)**2/11
Let -10*b**5/11 - 112*b**4/11 - 430*b**3/11 - 672*b**2/11 - 360*b/11 = 0. Calculate b.
-5, -3, -2, -6/5, 0
Determine q, given that -q**2/6 - 26605*q/3 - 707826025/6 = 0.
-26605
Factor k**3/6 + 7*k**2/2 + 13*k/2 - 845/6.
(k - 5)*(k + 13)**2/6
Factor 25186*b**2/5 + 5042*b + 24/5.
2*(b + 1)*(12593*b + 12)/5
Factor -2*g**2/7 - 43880*g/7 - 43866.
-2*(g + 7)*(g + 21933)/7
Suppose a**2/5 + 153639*a - 768196/5 = 0. Calculate a.
-768196, 1
Suppose -3*f**4/2 + 1311*f**3 - 2616*f**2 = 0. What is f?
0, 2, 872
Factor 8*v**2/11 - 57758*v/11 - 14440/11.
2*(v - 7220)*(4*v + 1)/11
Factor u**4/7 - 35050*u**3/7 + 105141*u**2/7.
u**2*(u - 35047)*(u - 3)/7
Factor 2*q**2 + 1562*q + 4668.
2*(q + 3)*(q + 778)
Factor -2*o**3/13 - 2174*o**2/13.
-2*o**2*(o + 1087)/13
Solve -2*c**5/9 + 164*c**3/9 + 64*c**2/3 - 210*c = 0.
-7, -5, 0, 3, 9
What is z in -z**2 + 34615*z - 519000 = 0?
15, 34600
Factor -v**5 - 5299*v**4 + 6*v**3 + 31786*v**2 - 42389*v + 15897.
-(v - 1)**3*(v + 3)*(v + 5299)
Factor -2*m**2 + 5148*m.
-2*m*(m - 2574)
Solve 132*g**5 + 856*g**4 + 1512*g**3 + 224*g**2 - 492*g + 72 = 0 for g.
-3, -1, 2/11, 1/3
Determine r so that -3*r**5/2 + 2037*r**4/2 - 65787*r**3/2 - 2037*r**2/2 + 32895*r = 0.
-1, 0, 1, 34, 645
Determine v, given that -3*v**5 + 75672*v**4 - 75666*v**3 - 75672*v**2 + 75669*v = 0.
-1, 0, 1, 25223
Factor -2*o**2/9 + 14474*o/9 - 19288/3.
-2*(o - 7233)*(o - 4)/9
Determine w, given that 4*w**2/3 - 537952*w/3 + 18087022144/3 = 0.
67244
Factor 4*t**2/7 + 15616*t/7 + 31216/7.
4*(t + 2)*(t + 3902)/7
Suppose 3*u**2/8 - 369*u/4 + 363 = 0. What is u?
4, 242
Factor -43*j**2 + 4907*j + 4950.
-(j + 1)*(43*j - 4950)
Determine k so that -2*k**4/7 - 46*k**3/7 + 540*k**2/7 - 1152*k/7 = 0.
-32, 0, 3, 6
Factor 5*t**2 - 348455*t + 696890.
5*(t - 69689)*(t - 2)
What is q in -3*q**2/5 + 111*q/5 - 198 = 0?
15, 22
What is w in 2*w**2/13 - 92*w/13 - 92254/13 = 0?
-193, 239
Factor -i**5/3 - 5614*i**4/3 - 7868009*i**3/3 + 31561924*i**2/3.
-i**2*(i - 4)*(i + 2809)**2/3
Let k**3/2 + 1251*k**2/2 + 625*k = 0. What is k?
-1250, -1, 0
Let 4*a**4 - 828852*a**3 + 828844*a**2 + 828852*a - 828848 = 0. What is a?
-1, 1, 207212
Factor 5*m**2 - 6860*m + 964335.
5*(m - 1213)*(m - 159)
Factor -2*o**3/17 + 822*o**2/17 - 83214*o/17 - 257094/17.
-2*(o - 207)**2*(o + 3)/17
Find b such that -2*b**2/11 + 48176*b/11 = 0.
0, 24088
Factor -142*n**2 + 104*n + 38.
-2*(n - 1)*(71*n + 19)
Suppose 2*s**3/19 - 1936*s**2/19 + 474266*s/19 - 2776332/19 = 0. What is s?
6, 481
Solve 240*n**4 - 265*n**3 = 0.
0, 53/48
Solve -11324*f**4 + 33980*f**3 - 33996*f**2 + 11348*f - 8 = 0 for f.
2/2831, 1
Suppose -2*h**2/11 - 304*h/11 - 840 = 0. What is h?
-110, -42
Determine d so that -3*d**4 + 91236*d**3 - 547344*d**2 + 1094640*d - 729744 = 0.
2, 30406
Factor 3*z**3/7 - 867*z**2/7 - 20526*z/7.
3*z*(z - 311)*(z + 22)/7
What is m in 3*m**2 + 59997*m + 59994 = 0?
-19998, -1
Find n, given that -10609*n**4/3 - 179941*n**3/3 - 54248*n**2 + 6524*n/3 - 64/3 = 0.
-16, -1, 2/103
Find o, given that -o**2/7 + 3743*o/7 + 3750 = 0.
-7, 3750
Factor 3*r**2 + 1083024*r + 97745082048.
3*(r + 180504)**2
Determine m, given that 2*m**2/13 - 8478*m/13 - 178920/13 = 0.
-21, 4260
Factor -5*h**3 - 390*h**2 - 9535*h - 72150.
-5*(h + 15)*(h + 26)*(h + 37)
Determine m, given that -4*m**4 - 1020*m**3 - 4996*m**2 + 1020*m + 5000 = 0.
-250, -5, -1, 1
Let -2*m**3/7 - 38*m**2 + 160*m + 3288/7 = 0. Calculate m.
-137, -2, 6
Suppose 2*x**2/5 + 47196*x/5 + 278432802/5 = 0. What is x?
-11799
Factor -22*u**2/13 + 172918*u/13 + 15720/13.
-2*(u - 7860)*(11*u + 1)/13
Solve -38*a**3 + 110*a**2/3 + 4*a/3 = 0 for a.
-2/57, 0, 1
Factor 3*k**3 + 8592*k**2 - 17193*k + 8598.
3*(k - 1)**2*(k + 2866)
Factor 128*v**3/5 - 2528*v**2/5 + 1842*v/5 - 342/5.
2*(v - 19)*(8*v - 3)**2/5
Factor 49*r**4/6 + 973*r**3/3 - 47459*r**2/6 - 221010*r + 3792150.
(r - 18)**2*(7*r + 265)**2/6
Suppose d**4 + 271*d**3/3 - 185*d**2/3 - 271*d/3 + 182/3 = 0. Calculate d.
-91, -1, 2/3, 1
Find k such that 2*k**5/5 + 5748*k**4/5 + 4147146*k**3/5 + 24727904*k**2/5 + 37037352*k/5 + 16450848/5 = 0.
-1434, -4, -1
Determine k so that -2*k**4 + 6588*k**3 - 396346*k**2 + 6209160*k - 5819400 = 0.
1, 30, 3233
Determine t, given that 4*t**3 - 856*t**2 + 12420*t + 4082400 = 0.
-56, 135
Suppose -8*p**2 - 46948*p + 23476 = 0. Calculate p.
-5869, 1/2
Solve 2*c**3/3 + 3634*c**2 + 4954050*c + 14851250/3 = 0 for c.
-2725, -1
Determine t so that -t**5/6 - 693*t**4 + t**3/2 + 6236*t**2/3 - 1386*t = 0.
-4158, -2, 0, 1
Let 2*h**3 + 12954*h**2 + 25900*h = 0. Calculate h.
-6475, -2, 0
Let -5*n**3 - 375*n**2 + 1980*n - 1600 = 0. Calculate n.
-80, 1, 4
Determine l, given that -8*l**4 - 2692*l**3 - 12000*l**2 - 15956*l - 6640 = 0.
-332, -5/2, -1
Suppose 2*o**4/13 + 110*o**3