75)/7
Factor 4*v**2 + 564*v + 6656.
4*(v + 13)*(v + 128)
Factor -125*d**3 - 6925*d**2 - 84680*d + 319740.
-5*(d - 3)*(5*d + 146)**2
Let 2*m**2 + 5670*m = 0. Calculate m.
-2835, 0
Factor -3*n**3 + 186*n**2 + 56181*n + 2053992.
-3*(n - 184)*(n + 61)**2
Solve 4*d**4 - 336156*d**3 - 1008504*d**2 - 16*d + 1344672 = 0.
-2, 1, 84042
Determine j so that j**4 + 108*j**3 - 4269*j**2 - 40552*j = 0.
-137, -8, 0, 37
Determine h, given that -135*h**3/2 - 19*h**2/2 + 92*h + 34 = 0.
-1, -2/5, 34/27
Suppose 2*m**5/3 + 862*m**4/3 - 304*m**3 - 6936*m**2 - 10368*m = 0. What is m?
-432, -3, -2, 0, 6
Solve -45*z**4 + 2928*z**3 - 150*z**2 - 2928*z + 195 = 0.
-1, 1/15, 1, 65
Solve -4*y**3 - 1824*y**2 - 100260*y + 547400 = 0.
-391, -70, 5
Factor 4*z**3 - 67880*z**2 + 271472*z - 271456.
4*(z - 16966)*(z - 2)**2
Factor -2*n**2 + 336*n + 9216.
-2*(n - 192)*(n + 24)
Find q, given that -q**3 + 454*q**2 - 7760*q - 38368 = 0.
-4, 22, 436
Solve -4*g**3 - 3988*g**2 - 942284*g + 26112100 = 0 for g.
-511, 25
Factor 7*a**2/2 + 204283*a/2 + 29183.
(a + 29183)*(7*a + 2)/2
Factor -4*q**2/5 + 4838*q/15 + 808/3.
-2*(q - 404)*(6*q + 5)/15
Factor 2*l**2 - 3218816*l + 1295097055232.
2*(l - 804704)**2
Determine q so that 2*q**2/19 + 24508*q/19 + 75080258/19 = 0.
-6127
Suppose 5*k**4 - 11195*k**3 - 78555*k**2 - 123505*k - 56150 = 0. Calculate k.
-5, -1, 2246
Find m such that 2*m**4/17 + 197492*m**3/17 - 394990*m**2/17 + 197496*m/17 = 0.
-98748, 0, 1
Factor -3*o**3 + 226*o**2 - 292*o - 296.
-(o - 74)*(o - 2)*(3*o + 2)
Factor 385*r**2 + 3155*r - 11880.
5*(r + 11)*(77*r - 216)
Let -2*i**2/11 + 128892*i/11 - 2076643458/11 = 0. Calculate i.
32223
Solve -d**4 - 376*d**3 - 1473*d**2 + 5598*d + 6696 = 0 for d.
-372, -6, -1, 3
Let -3*f**5 - 273*f**4 + 1416*f**3 - 2292*f**2 + 1152*f = 0. What is f?
-96, 0, 1, 2
Factor l**2/3 + 2450*l/3 + 1632.
(l + 2)*(l + 2448)/3
Find i such that 20*i**3 + 17988*i**2 + 25152*i + 7184 = 0.
-898, -1, -2/5
Factor -2*a**3/17 - 16*a**2/17 + 6*a/17 + 180/17.
-2*(a - 3)*(a + 5)*(a + 6)/17
Factor -4*b**2/3 + 278*b/3 + 240.
-2*(b - 72)*(2*b + 5)/3
Determine o so that 3*o**5 + 1224*o**4 + 11967*o**3 + 10746*o**2 = 0.
-398, -9, -1, 0
Factor -5*n**3/3 - 14*n**2 + 208*n + 256/3.
-(n - 8)*(n + 16)*(5*n + 2)/3
What is d in 2*d**4 - 290*d**3 - 602*d**2 + 2066*d - 1176 = 0?
-4, 1, 147
Determine n so that -n**3/3 + 34*n**2/3 - 63*n = 0.
0, 7, 27
Suppose -5*t**2 - 1042495*t + 2085010 = 0. What is t?
-208501, 2
Factor -2*v**2/7 - 178006*v/7 + 178008/7.
-2*(v - 1)*(v + 89004)/7
Determine s so that -3*s**4 + 69*s**3 - 375*s**2 - 69*s + 378 = 0.
-1, 1, 9, 14
Factor 3*g**2/2 + 1251*g/2 - 4452.
3*(g - 7)*(g + 424)/2
What is x in 5*x**3 + 7680*x**2 + 771945*x + 20084350 = 0?
-1430, -53
Factor -4*p**3 - 208*p**2 - 3020*p - 12896.
-4*(p + 8)*(p + 13)*(p + 31)
Factor 4*c**3 + 15664*c**2 + 78196*c - 93864.
4*(c - 1)*(c + 6)*(c + 3911)
Suppose 25*g**5/2 + 14205*g**4/2 + 100999*g**3/2 + 10551*g**2/2 - 30280*g + 7854 = 0. Calculate g.
-561, -7, -1, 2/5
Find p such that -2*p**4/21 + 778*p**3/21 - 1196*p**2/3 + 1008*p = 0.
0, 4, 7, 378
Determine m, given that 444*m**5 + 9776*m**4 + 176*m**3 = 0.
-22, -2/111, 0
Determine r, given that -r**5/7 + 41*r**4/7 + 129*r**3/7 - 13369*r**2/7 - 13456*r/7 = 0.
-16, -1, 0, 29
What is o in 18*o**4 - 219*o**3 - 213*o**2 + 219*o + 195 = 0?
-1, -5/6, 1, 13
Find s such that 3*s**4/7 + 2805*s**3/7 + 16749*s**2/7 + 3585*s + 11148/7 = 0.
-929, -4, -1
Solve -5*w**4 + 450*w**3 - 7685*w**2 - 60840*w - 52700 = 0.
-5, -1, 34, 62
Suppose -15*k**4 + 55*k**3 + 395*k**2 - 1375*k - 500 = 0. Calculate k.
-5, -1/3, 4, 5
Factor -y**5/2 + 45*y**4 - 2193*y**3/2 + 3698*y**2.
-y**2*(y - 43)**2*(y - 4)/2
Factor -i**4 - 339*i**3 - 10080*i**2 + 3572100*i.
-i*(i - 81)*(i + 210)**2
Factor -g**3/8 - 81*g**2/4 - 5661*g/8 + 4617/2.
-(g - 3)*(g + 57)*(g + 108)/8
Factor -b**4 + 29*b**3 + 282*b**2 - 1080*b.
-b*(b - 36)*(b - 3)*(b + 10)
Find b such that b**5/4 - 11*b**4 + 68*b**3 - 239*b**2/2 - 129*b/4 + 333/2 = 0.
-1, 2, 3, 37
Factor -4*m**3 + 752*m**2 - 13696*m + 43008.
-4*(m - 168)*(m - 16)*(m - 4)
Suppose -2*b**5/5 - 20728*b**4/5 - 53768388*b**3/5 - 321968072*b**2/5 - 53644082*b = 0. Calculate b.
-5179, -5, -1, 0
Factor -y**3 + 301*y**2 - 26595*y + 564975.
-(y - 135)**2*(y - 31)
Determine f so that 20*f**4 - 1288*f**3 - 908*f**2 + 8368*f - 3120 = 0.
-3, 2/5, 2, 65
Factor -l**4/3 + 52*l**3/3 + 845*l**2/3.
-l**2*(l - 65)*(l + 13)/3
Determine q so that 4*q**3 + 1090360*q**2 + 1090356*q = 0.
-272589, -1, 0
Factor -a**3/10 + 5854*a**2/5 - 34281021*a/10 + 34257609/5.
-(a - 5853)**2*(a - 2)/10
Factor -j**2/3 + 181110*j - 24600624075.
-(j - 271665)**2/3
Factor 4*j**3 + 1144*j**2 + 12100*j.
4*j*(j + 11)*(j + 275)
Let 2*c**4/17 + 9192*c**3/17 + 10589148*c**2/17 + 3722760*c + 5576850 = 0. What is c?
-2295, -3
Factor -b**2 + 522*b - 34997.
-(b - 443)*(b - 79)
Factor -35280*g**3 - 113919960*g**2 - 2712365*g - 16145.
-5*(g + 3229)*(84*g + 1)**2
Determine v so that -3*v**5 + 66*v**4 + 912*v**3 + 1536*v**2 = 0.
-8, -2, 0, 32
Factor -2*r**4/3 - 388*r**3 - 57222*r**2 - 668168*r/3.
-2*r*(r + 4)*(r + 289)**2/3
Solve 6*f**5 + 37*f**4 - 888*f**3 + 3487*f**2 - 3474*f - 680 = 0 for f.
-17, -1/6, 2, 4, 5
Factor -5*m**4 - 525*m**3 + 3330*m**2.
-5*m**2*(m - 6)*(m + 111)
Factor 2*o**2/9 + 10456*o - 188216/9.
2*(o - 2)*(o + 47054)/9
Suppose 4*m**2/3 + 323576*m + 19631517708 = 0. What is m?
-121341
Factor 2*a**3 - 2174*a**2 + 19440*a - 38808.
2*(a - 1078)*(a - 6)*(a - 3)
Solve 6509405*u**4 + 13064450*u**3 + 6600765*u**2 + 45800*u + 80 = 0.
-1, -4/1141
Determine z, given that -z**5/6 + 5*z**4/6 + 17*z**3 + 160*z**2/3 + 112*z/3 = 0.
-4, -1, 0, 14
Find p, given that 3*p**4/4 + 231*p**3/4 - 1899*p**2 - 8265*p - 8484 = 0.
-101, -2, 28
Factor 5*x**2 - 75*x - 3780.
5*(x - 36)*(x + 21)
Factor 9*p**4/7 + 19200*p**3/7 + 10233597*p**2/7 - 6830934*p/7.
3*p*(p + 1067)**2*(3*p - 2)/7
What is r in -r**4/2 + 779*r**3/2 - 148869*r**2/2 - 1142451*r/2 + 6023511 = 0?
-13, 6, 393
Factor -2*u**2/11 + 824*u/11 - 55104/11.
-2*(u - 328)*(u - 84)/11
Factor a**4/3 + 38*a**3/3 + 101*a**2/3 - 1340*a/3 - 1700.
(a - 6)*(a + 5)**2*(a + 34)/3
Determine j so that 2*j**3/13 + 42*j**2 - 21600*j/13 + 200232/13 = 0.
-309, 18
Suppose 2*z**5/3 - 874*z**4/3 + 1698*z**3 + 33586*z**2/3 + 13912*z/3 - 17240 = 0. What is z?
-3, -2, 1, 10, 431
Factor 2*l**2 + 8402*l.
2*l*(l + 4201)
Suppose 12*w**3 + 5307*w**2/2 - 5343*w + 5355/2 = 0. What is w?
-1785/8, 1
Factor -y**2 - 537222*y - 72151869321.
-(y + 268611)**2
Solve -5*r**3/2 + 140*r**2 + 1250*r + 1920 = 0.
-6, -2, 64
Find z, given that -z**2/4 - 109*z/2 + 110 = 0.
-220, 2
Factor -b**2 - 345*b - 5576.
-(b + 17)*(b + 328)
Factor p**3/4 + p**2 - 107*p/4 - 165/2.
(p - 10)*(p + 3)*(p + 11)/4
Solve -4*l**3 - 230528*l**2 - 2765904*l - 8297280 = 0.
-57620, -6
Factor c**2 + 111098*c - 111099.
(c - 1)*(c + 111099)
Find h, given that 7*h**4/4 + 307*h**3/2 - 3473*h**2/4 - 741*h + 279 = 0.
-93, -1, 2/7, 6
Let 4*p**3/7 + 25276*p**2/7 + 39891820*p/7 - 119903052/7 = 0. Calculate p.
-3161, 3
Factor 2*x**4/3 - 193882*x**3/3 + 193878*x**2 - 581630*x/3 + 193876/3.
2*(x - 96938)*(x - 1)**3/3
Solve -r**3 + 7419*r**2 - 13940355*r + 665382025 = 0.
49, 3685
Determine q, given that -q**5/5 + 43*q**4/5 - 499*q**3/5 + 1293*q**2/5 + 1080*q - 12636/5 = 0.
-3, 2, 9, 26
Let 35*z**4 - 62050*z**3 - 133160*z**2 + 62050*z + 133125 = 0. What is z?
-15/7, -1, 1, 1775
Factor 2*d**3 - 24*d**2 - 170*d.
2*d*(d - 17)*(d + 5)
Determine y, given that 2*y**4/9 + 37798*y**3/3 - 113396*y**2/9 = 0.
-56698, 0, 1
Factor -76*g**3 - 388*g**2 + 416*g + 48.
-4*(g - 1)*(g + 6)*(19*g + 2)
Factor -d**2/10 - 2085441*d/5 - 4349064164481/10.
-(d + 2085441)**2/10
Suppose -266*r**2 - 4432*r + 234 = 0. What is r?
-117/7, 1/19
Factor 5*s**2 - 2655730*s.
5*s*(s - 531146)
Factor -v**2/2 + 41442*v - 858719682.
-(v - 41442)**2/2
Suppose -h**2 + 34124*h - 291111844 = 0. Calculate h.
17062
Suppose -3*u**4/5 + 15981*u**3/5 - 4264515*u**2 + 106118019*u/5 + 127456578/5 = 0. What is u?
-1, 6, 2661
Let 4*v**3 - 3188*v**2 - 257524*v - 254332 = 0. What is v?
-73, -1, 871
Factor -4*a**2 - 2428*a + 9776.
-4*(a - 4)*(a + 611)
Let 39*f**5 - 57*f**4 - 63*f**3 + 141*f**2 - 60*f = 0. Calculate f.
-20/13, 0, 1
Determine v, given that 2*v**4 + 72*v**3 + 698*v**2 + 1188*v + 560 = 0.
-20, -14, -1
Deter