6
Factor 2*a**2/5 + 554*a/5 - 1116/5.
2*(a - 2)*(a + 279)/5
Factor 322*p**2/3 + 16958*p - 316/3.
2*(p + 158)*(161*p - 1)/3
Factor -5*c**3 + 4540*c**2 - 13555*c - 18100.
-5*(c - 905)*(c - 4)*(c + 1)
Determine f so that -2*f**3/5 - 396*f**2/5 + 1214*f/5 + 1608/5 = 0.
-201, -1, 4
Solve 2*v**5/3 + 2*v**4/3 - 218*v**3/3 + 622*v**2/3 + 280*v = 0.
-12, -1, 0, 5, 7
Solve 4*m**5 + 824*m**4 - 5052*m**3 + 7616*m**2 - 3392*m = 0.
-212, 0, 1, 4
Solve 4*b**2 - 44*b - 13104 = 0.
-52, 63
Find q, given that -2*q**3/7 + 510*q**2/7 + 6368*q/7 + 10680/7 = 0.
-10, -2, 267
Solve -2*n**4/3 + 44*n**3 - 1006*n**2/3 - 380*n = 0 for n.
-1, 0, 10, 57
Factor -4*n**3 + 3116*n**2 - 415872*n.
-4*n*(n - 608)*(n - 171)
Let -15*b**2 + 179169*b + 250866 = 0. Calculate b.
-7/5, 11946
Solve -950*g**5/11 - 14254*g**4/11 - 36160*g**3/11 - 22952*g**2/11 - 96*g/11 = 0.
-12, -2, -1, -2/475, 0
Factor -2*l**4 + 16774*l**3 + 33554*l**2 + 16778*l.
-2*l*(l - 8389)*(l + 1)**2
Determine p so that 3*p**3/7 - 3315*p**2/7 - 94947*p/7 - 254925/7 = 0.
-25, -3, 1133
Factor 1876*t**3 - 1539*t**2 - 370*t + 33.
(t - 1)*(4*t + 1)*(469*t - 33)
Factor -2*n**4/17 - 1378*n**3/17 - 1376*n**2/17.
-2*n**2*(n + 1)*(n + 688)/17
Solve -3*j**2/8 - 3657*j/2 - 14625/8 = 0.
-4875, -1
What is v in -73*v**4/3 + 5696*v**3/3 - 83*v**2/3 - 5696*v/3 + 52 = 0?
-1, 2/73, 1, 78
Let -f**2/7 - 379*f + 50768/7 = 0. Calculate f.
-2672, 19
Suppose v**3/2 - 283*v**2 - 6337*v/2 - 2885 = 0. Calculate v.
-10, -1, 577
Find a such that -4*a**4 + 2908*a**3 + 74400*a**2 + 599600*a + 1504000 = 0.
-10, -5, 752
Let x**2/3 + 4218*x + 50600/3 = 0. Calculate x.
-12650, -4
Factor -7*b**3/3 - 76668*b**2 - 629772857*b + 539824082/3.
-(b + 16429)**2*(7*b - 2)/3
Factor -3*w**3/5 + 162*w**2/5 + 5547*w/5 + 5382/5.
-3*(w - 78)*(w + 1)*(w + 23)/5
Factor -2*z**3 + 324*z**2 - 4894*z - 5220.
-2*(z - 145)*(z - 18)*(z + 1)
Factor c**5/2 + 3*c**4 - 9*c**3/2 - 7*c**2.
c**2*(c - 2)*(c + 1)*(c + 7)/2
Factor 27*m**3 + 474*m**2 - 27*m - 474.
3*(m - 1)*(m + 1)*(9*m + 158)
Factor 2*t**3/17 - 149790*t**2/17 + 149788*t/17.
2*t*(t - 74894)*(t - 1)/17
Suppose -3*n**2/8 - 1311*n + 10512 = 0. What is n?
-3504, 8
Suppose 150*c**3 - 61770*c**2 - 24717*c/2 - 618 = 0. What is c?
-1/10, 412
Factor -35*h**3 + 540*h**2 + 5495*h.
-5*h*(h + 7)*(7*h - 157)
Factor 3*d**3/2 - 93*d**2/2 - 57*d + 288.
3*(d - 32)*(d - 2)*(d + 3)/2
Let 20*v**5 + 945*v**4 - 311325*v**3 - 20680690*v**2 + 37293300*v + 10611000 = 0. Calculate v.
-90, -1/4, 2, 131
Let 3*v**3 + 14349*v**2 + 17164989*v + 17150643 = 0. What is v?
-2391, -1
Factor -2*i**2 + 986*i + 8016.
-2*(i - 501)*(i + 8)
Let -2*f**4/13 + 722*f**3/13 + 3644*f**2/13 + 5848*f/13 + 2928/13 = 0. Calculate f.
-2, -1, 366
Find i such that -i**4/4 - 108*i**3 + 7691*i**2/4 + 13041*i/2 + 4490 = 0.
-449, -2, -1, 20
Solve -v**4/10 + 3107*v**3/5 - 9647233*v**2/10 - 9656556*v/5 - 4829832/5 = 0.
-1, 3108
Factor -45*d**2 + 618*d.
-3*d*(15*d - 206)
Factor -5*q**4 + 340*q**3 - 1605*q**2 + 1890*q.
-5*q*(q - 63)*(q - 3)*(q - 2)
Factor -u**2 + 616*u - 1228.
-(u - 614)*(u - 2)
What is d in 2*d**3/5 + 4158*d**2/5 - 832*d = 0?
-2080, 0, 1
Factor -s**3 - 43541*s**2 + 130630*s - 87088.
-(s - 2)*(s - 1)*(s + 43544)
Determine v so that -2*v**3 - 1140*v**2 + 5750*v = 0.
-575, 0, 5
Factor n**2 - 253718*n + 761145.
(n - 253715)*(n - 3)
Factor -t**3 + 300*t**2 - 24957*t + 357858.
-(t - 141)**2*(t - 18)
Factor v**3 - 8*v**2 - 23*v + 210.
(v - 7)*(v - 6)*(v + 5)
Solve -12*j**3 + 2584*j**2 + 5180*j/3 + 288 = 0 for j.
-1/3, 216
Suppose -3*z**2/2 - 24750*z - 102093750 = 0. Calculate z.
-8250
Determine p so that 2*p**3/11 + 738*p**2/11 + 82110*p/11 + 2436574/11 = 0.
-161, -47
Suppose 2*j**4/3 - 301*j**3/3 + 427*j**2 + 4804*j/3 + 2044/3 = 0. Calculate j.
-2, -1/2, 7, 146
Suppose 620*q**3 + 75656*q**2 + 2308972*q + 59536 = 0. What is q?
-61, -4/155
Factor m**2 - 611*m - 4326.
(m - 618)*(m + 7)
Factor 9*k**2 - 37680*k + 25116.
3*(k - 4186)*(3*k - 2)
Factor -y**3 - 134*y**2 + 2191*y - 6556.
-(y - 11)*(y - 4)*(y + 149)
Let 3*i**3/7 + 999*i**2 - 28008*i/7 + 28020/7 = 0. What is i?
-2335, 2
Factor -2*k**2/11 + 11276*k/11 - 6144.
-2*(k - 5632)*(k - 6)/11
Solve -3*l**4 - 132*l**3 + 426*l**2 + 132*l - 423 = 0 for l.
-47, -1, 1, 3
Suppose -108*k**2 - 67312*k - 17444 = 0. Calculate k.
-623, -7/27
Suppose -v**3/3 + 869*v**2 - 562440*v - 5132592 = 0. Calculate v.
-9, 1308
Factor 2*q**2/5 + 8520*q + 42598/5.
2*(q + 1)*(q + 21299)/5
Find m such that -2*m**2 - 8000*m - 23982 = 0.
-3997, -3
Determine c, given that -7*c**2/4 - 126765*c/4 - 18109/2 = 0.
-18109, -2/7
Factor n**2 - 5149*n/6 + 5999/6.
(n - 857)*(6*n - 7)/6
Let -2*v**3/5 - 14634*v**2/5 + 2928*v + 29272/5 = 0. What is v?
-7318, -1, 2
Factor -20*t**2 - 2708*t - 1080.
-4*(t + 135)*(5*t + 2)
Determine u, given that 119716*u**2 + 6126968*u + 78393316 = 0.
-4427/173
Let r**3 + 153774*r**2 + 5911456992*r - 11823529088 = 0. Calculate r.
-76888, 2
Let -4*g**2 - 674249*g - 168562 = 0. What is g?
-168562, -1/4
Suppose -50*k**5 - 32010*k**4 - 6368*k**3 + 20472*k**2 - 5120*k = 0. Calculate k.
-640, -1, 0, 2/5
Suppose -o**2/3 + 393*o - 36618 = 0. Calculate o.
102, 1077
Determine a so that 4*a**4 - 2264*a**3 - 16*a**2 + 9056*a = 0.
-2, 0, 2, 566
Factor -d**2/4 + 966*d + 3868.
-(d - 3868)*(d + 4)/4
Find g, given that -g**2 + 401*g - 19320 = 0.
56, 345
Suppose 336*a**2 - 2061*a/5 + 381/5 = 0. Calculate a.
127/560, 1
Factor -2*n**2/9 - 476*n/9 + 478/9.
-2*(n - 1)*(n + 239)/9
Suppose -21*o**5 - 197*o**4 - 439*o**3 - 47*o**2 + 180*o - 36 = 0. Calculate o.
-6, -3, -1, 2/7, 1/3
Determine a so that 338*a**4 - 90792*a**3 + 6124904*a**2 - 3743424*a + 574592 = 0.
4/13, 134
Let -2*m**4 + 3442*m**3 - 6878*m**2 + 3438*m = 0. Calculate m.
0, 1, 1719
Factor s**4/9 + 99*s**3 + 1774*s**2/3 + 10628*s/9 + 2360/3.
(s + 2)**3*(s + 885)/9
Factor -4*m**4 - 7216*m**3 - 340224*m**2 - 5410816*m - 28770304.
-4*(m + 16)**3*(m + 1756)
Determine r so that -3*r**2/5 - 40236*r/5 = 0.
-13412, 0
Factor -f**5 + 374*f**4 + 378*f**3 - 1120*f**2 - 1873*f - 750.
-(f - 375)*(f - 2)*(f + 1)**3
Factor -36*r**3 - 1172*r**2 + 3140*r + 2100.
-4*(r - 3)*(r + 35)*(9*r + 5)
Factor -q**2 + 162975*q.
-q*(q - 162975)
Find p such that -5*p**3 - 6020*p**2 - 5985*p + 36090 = 0.
-1203, -3, 2
Find s such that 3*s**2/8 + 2943*s/8 - 2949/4 = 0.
-983, 2
Solve -u**4/2 - 121693*u**3/2 + 182544*u**2 - 2*u - 243392 = 0 for u.
-121696, -1, 2
Solve 4*y**5 - 5488*y**4 - 83068*y**3 - 210728*y**2 - 133152*y = 0.
-12, -2, -1, 0, 1387
Factor 2*z**2 + 151713*z - 227574.
(z + 75858)*(2*z - 3)
Factor -3*k**3/7 - 513*k**2/7 + 462*k + 8496/7.
-3*(k - 8)*(k + 2)*(k + 177)/7
Factor 4*c**2/3 - 32068*c/3 - 53480.
4*(c - 8022)*(c + 5)/3
Factor -267*g**2/2 + 412527*g/2 - 9270.
-3*(g - 1545)*(89*g - 4)/2
Let -y**2 - 83*y + 15308 = 0. Calculate y.
-172, 89
Determine z, given that -3*z**4 + 45132*z**3 - 226352016*z**2 + 378611351760*z - 756317656464 = 0.
2, 5014
Suppose -v**5 + 116*v**4 - 3121*v**3 - 14274*v**2 - 4320*v + 21600 = 0. What is v?
-3, -2, 1, 60
Factor -5*u**5 - 540*u**4 + 4560*u**3 - 9280*u**2.
-5*u**2*(u - 4)**2*(u + 116)
Solve 3*d**5/8 - 21*d**4/2 - 147*d**3 - 2097*d**2/4 - 5211*d/8 - 1053/4 = 0 for d.
-6, -3, -1, 39
Find a such that 4*a**3 + 40*a**2 + 116*a + 80 = 0.
-5, -4, -1
Factor -2*b**2/9 - 1754*b + 1211288/9.
-2*(b - 76)*(b + 7969)/9
Solve 192*p**4 + 1104*p**3 + 1239*p**2 - 438*p - 72 = 0 for p.
-4, -2, -1/8, 3/8
Determine x, given that 2*x**4/15 + 11978*x**3/3 + 149480442*x**2/5 + 268909102*x/3 - 1793046728/15 = 0.
-14971, -4, 1
Determine g so that -g**2/5 + 297*g - 4446/5 = 0.
3, 1482
Factor h**2/3 - 24772*h/3 + 153412996/3.
(h - 12386)**2/3
Solve 25*b**5 + 540*b**4 + 2055*b**3 + 1640*b**2 - 1020*b = 0 for b.
-17, -3, -2, 0, 2/5
Factor 3*m**2/5 + 1518*m/5 + 6024/5.
3*(m + 4)*(m + 502)/5
Find f, given that -2*f**5 + 238*f**4 + 1998*f**3 + 4298*f**2 + 2540*f = 0.
-5, -2, -1, 0, 127
Suppose m**5/5 + 316*m**4/5 + 21909*m**3/5 - 491314*m**2/5 + 892448*m/5 = 0. Calculate m.
-167, 0, 2, 16
Determine w, given that 2*w**3/7 - 6360*w**2 + 247798314*w/7 - 495418564/7 = 0.
2, 11129
Solve -2*i**4/5 - 884*i**3/5 - 5238*i**2/5 - 2596*i/5 + 1744 = 0 for i.
-436, -5, -2, 1
Determine q, given that -4*q**3/3 - 195436*q**2/3 + 390884*q/3 - 65148 = 0.
-48861, 1
Solve 2*u**4 + 842*u**3 + 88174*u**2 - 99170*u - 1068504 = 0.
-2