, -2, 0, 4
Suppose 2*z**3/13 + 39316*z**2/13 + 14865984*z + 29719872 = 0. Calculate z.
-9828, -2
Solve 9*n**5 + 87*n**4 + 177*n**3 + 57*n**2 - 42*n = 0.
-7, -2, -1, 0, 1/3
Factor 2*k**4/3 - 748*k**3 + 631682*k**2/3 - 418880*k + 627200/3.
2*(k - 560)**2*(k - 1)**2/3
Determine v so that 2*v**4 + 12318*v**3 + 12316*v**2 = 0.
-6158, -1, 0
Let 2*w**2/5 - 438*w/5 - 26264/5 = 0. What is w?
-49, 268
Determine g so that -854*g**3/11 + 117688*g**2/11 + 22626*g/11 + 828/11 = 0.
-1/7, -3/61, 138
Suppose m**5/3 + 14*m**4/3 - 29*m**3/3 - 182*m**2 + 360*m = 0. What is m?
-12, -9, 0, 2, 5
Let -3*f**3 - 123*f**2 + 3186*f = 0. What is f?
-59, 0, 18
Let -n**4 - 60*n**3 - 1061*n**2 - 4830*n + 14400 = 0. What is n?
-32, -15, 2
Let p**5/3 + 2962*p**4 + 8767515*p**3 + 8627187348*p**2 - 52000167024*p + 78118852032 = 0. What is p?
-2964, 3
Let 15*v**4 - 238593*v**3 + 948562218*v**2 + 1708280580*v - 379596696 = 0. Calculate v.
-2, 1/5, 7954
Solve -35*m**4 + 405*m**3 - 1080*m**2 + 580*m + 480 = 0 for m.
-3/7, 2, 8
Factor 2*o**2/7 + 354*o/7 - 356/7.
2*(o - 1)*(o + 178)/7
Determine r, given that 2*r**3/11 - 27706*r**2/11 + 774592*r/11 - 5419400/11 = 0.
14, 13825
Factor 2*k**3/13 + 394*k**2/13 + 22790*k/13 + 410478/13.
2*(k + 43)**2*(k + 111)/13
Determine u, given that 36*u**5/7 - 5814*u**4/7 - 8836*u**3/7 + 5546*u**2/7 - 652*u/7 = 0.
-2, 0, 1/6, 1/3, 163
Solve -2*p**5/9 - 62*p**4/9 - 50*p**3/3 + 1790*p**2/9 + 152*p/9 - 192 = 0.
-27, -8, -1, 1, 4
Determine k, given that k**3 + 43*k**2 + 22*k - 840 = 0.
-42, -5, 4
Suppose -3*h**4 + 315*h**3 + 477*h**2 - 918543*h + 24118074 = 0. What is h?
-54, 53
Find d such that -2*d**2 - 4195080*d - 2199837025800 = 0.
-1048770
Determine m, given that 32*m**3/7 + 10128*m**2/7 + 25170*m/7 + 15700/7 = 0.
-314, -5/4
Factor 27*s**2/4 + 2523*s/2 - 29640.
3*(s + 208)*(9*s - 190)/4
Solve 9*w**4/7 - 1452*w**3 + 2866242*w**2/7 + 1918740*w/7 - 957675/7 = 0 for w.
-1, 1/3, 565
Factor -2*o**2/3 - 1274*o/3 - 182684/3.
-2*(o + 218)*(o + 419)/3
Find g such that 5*g**4/6 - 140*g**3/3 - 55085*g**2/6 - 27400*g/3 = 0.
-80, -1, 0, 137
Factor -j**2/2 + 379*j/2 + 7923.
-(j - 417)*(j + 38)/2
Solve -c**4/7 + 31575*c**3/7 = 0.
0, 31575
Factor t**2/4 + 470521*t + 221390011441.
(t + 941042)**2/4
What is w in 3*w**2 + 651*w + 9648 = 0?
-201, -16
Factor 2*c**3/7 - 652*c**2/7 + 26030*c/7 + 7812.
2*(c - 279)*(c - 49)*(c + 2)/7
Let -y**5/3 - 368461*y**4/3 - 15084875220*y**3 - 617584848008400*y**2 - 617569763256000*y = 0. Calculate y.
-122820, -1, 0
Let -25*v**4/2 - 18345*v**3/4 - 52879*v**2/4 - 18027*v/2 - 1638 = 0. Calculate v.
-364, -2, -3/5, -3/10
Let -2*s**4/7 + 30*s**3/7 + 384*s**2/7 + 1112*s/7 + 960/7 = 0. What is s?
-5, -2, 24
Find u such that -u**4/4 + 307*u**3/2 + 30315*u**2/4 + 7425*u = 0.
-45, -1, 0, 660
Suppose 5*g**3 - 23830*g**2 - 20*g + 95320 = 0. Calculate g.
-2, 2, 4766
Solve h**4 - 1052*h**3 + 69965*h**2 - 1202950*h = 0 for h.
0, 35, 982
Find p such that -3*p**2/8 + 78843*p/8 - 78831/2 = 0.
4, 26277
Suppose -53138*p**5/3 - 1021358*p**4/3 - 2083462*p**3/3 - 1326418*p**2/3 - 74064*p - 3672 = 0. Calculate p.
-17, -1, -18/163
What is i in -9*i**3 - 2598*i**2 + 185655*i - 61596 = 0?
-348, 1/3, 59
Find q such that 2*q**5/5 + 94*q**4/5 + 1038*q**3/5 - 326*q**2 - 6008*q/5 - 3432/5 = 0.
-26, -22, -1, 3
Determine g so that 3*g**4 - 198*g**2 + 384*g - 189 = 0.
-9, 1, 7
Solve 2*c**4/7 - 4*c**3 + 10*c**2 + 292*c/7 - 96 = 0 for c.
-3, 2, 7, 8
Factor -2*p**4/7 - 9616*p**3/7 - 11568042*p**2/7 - 23097636*p/7.
-2*p*(p + 2)*(p + 2403)**2/7
Solve 2*z**4/5 - 2874*z**3/5 + 5734*z**2/5 + 1722*z = 0.
-1, 0, 3, 1435
Factor 3*k**3/2 - 172887*k**2/2 + 345765*k/2 - 172881/2.
3*(k - 57627)*(k - 1)**2/2
What is o in -3*o**2 + 565752*o - 26672943792 = 0?
94292
Solve m**2 + 30194*m + 227919409 = 0.
-15097
Factor 2*j**3/15 + 536*j**2/15 + 1594*j/15 + 212/3.
2*(j + 1)*(j + 2)*(j + 265)/15
Factor 2*q**2/7 + 88*q/7 - 790.
2*(q - 35)*(q + 79)/7
What is r in 2*r**4/7 - 1934*r**3/7 - 1388*r**2 - 3904*r/7 + 15552/7 = 0?
-4, -2, 1, 972
Factor -2*u**3 + 72*u**2 + 21462*u + 643468.
-2*(u - 134)*(u + 49)**2
Suppose -i**2 - 50111*i = 0. Calculate i.
-50111, 0
What is g in g**2/4 - 182451*g/2 + 182450 = 0?
2, 364900
Solve 5*d**4 - 490*d**3 - 20000*d**2 + 490*d + 19995 = 0.
-31, -1, 1, 129
Factor 2*q**2 - 2282*q - 23020.
2*(q - 1151)*(q + 10)
Factor g**2 - 862342*g + 185908431241.
(g - 431171)**2
Find c such that 2*c**4/13 + 72*c**3/13 + 596*c**2/13 - 72*c/13 - 46 = 0.
-23, -13, -1, 1
Find a such that -5*a**2 - 3405*a + 20610 = 0.
-687, 6
Solve -6*h**3/11 + 1726*h**2/11 + 7584*h/11 + 2336/11 = 0.
-4, -1/3, 292
Factor 24*b**2/7 + 2637*b/7 - 330/7.
3*(b + 110)*(8*b - 1)/7
Factor -2*c**2/7 - 792*c/7 - 19240/7.
-2*(c + 26)*(c + 370)/7
Factor 8*t**2 - 71172*t + 35584.
4*(t - 8896)*(2*t - 1)
Factor -27*q**3/4 + 16155*q**2 + 43089*q/4 + 3591/2.
-3*(q - 2394)*(3*q + 1)**2/4
Factor -3*w**5 + 13920*w**4 - 16161111*w**3 + 32266566*w**2.
-3*w**2*(w - 2319)**2*(w - 2)
Let -76*c**2 - 13602*c + 358 = 0. Calculate c.
-179, 1/38
Factor -f**3/2 + 24495*f**2 + 48991*f/2.
-f*(f - 48991)*(f + 1)/2
Find c such that 2*c**2/7 + 7352*c/7 - 433144/7 = 0.
-3734, 58
Factor 4*g**2 + 1008*g + 61568.
4*(g + 104)*(g + 148)
Determine z so that 2*z**3 + 15308*z**2 + 29307160*z + 58553104 = 0.
-3826, -2
Factor -p**3 - 11231*p**2 + 56186*p + 67416.
-(p - 6)*(p + 1)*(p + 11236)
Find i such that -2*i**3/3 + 632*i**2/3 + 8650*i/3 - 10528 = 0.
-16, 3, 329
Factor 2*g**2 - 10390*g + 72632.
2*(g - 5188)*(g - 7)
Determine g so that -14*g**3 + 4768*g**2 - 12190*g + 7436 = 0.
1, 11/7, 338
Factor 5*a**3 + 2830*a**2 + 41395*a + 38570.
5*(a + 1)*(a + 14)*(a + 551)
Determine f, given that 15*f**4 - 20215*f**3 - 26975*f**2 - 6745*f = 0.
-1, -1/3, 0, 1349
Determine x, given that -1521*x**5 - 92066*x**4 - 224936*x**3 - 101904*x**2 - 16720*x - 928 = 0.
-58, -2, -2/9, -2/13
Suppose 5*f**5 + 170965*f**4 + 512820*f**3 - 1025840*f**2 - 4786720*f - 4102800 = 0. What is f?
-34190, -2, 3
Factor -3*u**2/2 + 2484*u - 4962.
-3*(u - 1654)*(u - 2)/2
Suppose 2*d**2/7 + 25908*d/7 + 51808/7 = 0. Calculate d.
-12952, -2
Factor -2*l**2 - 60660*l - 1030642.
-2*(l + 17)*(l + 30313)
Find h, given that h**4/4 - 7*h**3 - 2119*h**2/4 + 3269*h/2 - 1098 = 0.
-36, 1, 2, 61
Determine y so that 7*y**3/2 - 1441*y**2/2 - 10063*y + 22980 = 0.
-15, 2, 1532/7
Determine r so that -5*r**2 - 512475*r - 512470 = 0.
-102494, -1
Determine c, given that c**2 - 2615*c - 2616 = 0.
-1, 2616
What is m in -4*m**3/5 + 8*m**2/5 + 20*m - 40 = 0?
-5, 2, 5
Solve -h**5 + 509*h**4 - 1929*h**3 - 46445*h**2 + 247450*h = 0 for h.
-10, 0, 7, 505
Factor 5*d**2 - 1285910*d + 82678226405.
5*(d - 128591)**2
Factor 5*u**2 - 4010*u + 66725.
5*(u - 785)*(u - 17)
Solve -4*k**5/3 - 9*k**4 - k**3/3 + 54*k**2 - 40*k/3 = 0.
-5, -4, 0, 1/4, 2
Determine c so that -2*c**2 - 358*c = 0.
-179, 0
Suppose -2*v**3 + 110*v**2 + 5474*v + 51442 = 0. Calculate v.
-17, 89
Solve -9*q**5/7 - 132*q**4 + 10362*q**3/7 - 16788*q**2/7 - 2847*q + 8136/7 = 0 for q.
-113, -1, 1/3, 3, 8
Factor -5*c**2/3 + 14255*c/3 - 42630.
-5*(c - 2842)*(c - 9)/3
Factor -2*x**2/9 + 4214*x/9.
-2*x*(x - 2107)/9
Suppose 2*q**2/7 - 94*q/7 - 3796/7 = 0. Calculate q.
-26, 73
Factor -2*d**3/9 - 10*d**2/9 + 128*d/9 + 640/9.
-2*(d - 8)*(d + 5)*(d + 8)/9
Solve 26*h**4/7 - 918*h**3/7 + 404*h**2 - 2448*h/7 + 512/7 = 0.
4/13, 1, 2, 32
Find t such that -2*t**5 - 702*t**4 - 2782*t**3 - 2082*t**2 = 0.
-347, -3, -1, 0
Factor 4*s**4 - 175860*s**3 - 7390824*s**2 - 103493488*s - 483020832.
4*(s - 44007)*(s + 14)**3
Solve -3*i**2 + 615*i - 25842 = 0 for i.
59, 146
Let 3*y**4/7 - 1899*y**3 + 26577*y**2/7 - 13287*y/7 = 0. Calculate y.
0, 1, 4429
Factor -3*p**3 - 273*p**2 - 1965*p + 2241.
-3*(p - 1)*(p + 9)*(p + 83)
Find n, given that n**2/4 + 7759*n/2 + 7758 = 0.
-15516, -2
What is k in -2*k**5/15 + 86*k**4/5 + 2*k**3/15 - 86*k**2/5 = 0?
-1, 0, 1, 129
Factor 3*b**2 - 19551*b + 39090.
3*(b - 6515)*(b - 2)
Factor 5*r**4 + 235*r**3 + 720*r**2 - 5860*r + 6880.
5*(r - 2)**2*(r + 8)*(r + 43)
Suppose 4*b**5 - 220*b**4 + 1564*b**3 + 24972*b**2 + 44352*b + 21168 = 0. Calculate b.
-6, -1, 21, 42
Factor 3*j**2/7 - 234*j/7 - 5016.
3*(j - 154)*(j + 76)/7
Suppose -i**5 - 69*i**4 + 3206*i**3 - 2778*i**2 - 15445*i - 9393 = 0. What is i?
-101, -1, 3, 31
Let 5*z**3 + 5675*z**2 + 1629960*z + 111