iven that 6*n**4/7 - 2224*n**3/7 + 213328*n**2/7 - 190528*n + 113568 = 0.
2/3, 6, 182
Factor -4*d**2 + 14448*d - 13046544.
-4*(d - 1806)**2
Suppose -25*l**4 - 2090*l**3 - 41085*l**2 + 109220*l - 36980 = 0. What is l?
-43, 2/5, 2
Determine m so that -2*m**5 - 7232*m**4/9 - 6586*m**3/3 + 76568*m**2/9 - 5320*m/3 = 0.
-399, -5, 0, 2/9, 2
Determine a, given that -3*a**2 - 144540*a - 433593 = 0.
-48177, -3
Suppose -2*q**5 - 3374*q**4 - 1451390*q**3 - 23972978*q**2 - 111769760*q - 89244800 = 0. What is q?
-835, -8, -1
Solve -2*m**3 + 14230*m**2 - 25261734*m - 177530094 = 0 for m.
-7, 3561
Find j, given that 4*j**3 - 5510*j**2 - 19328*j - 8286 = 0.
-3, -1/2, 1381
Let -f**2 + 24169*f + 24170 = 0. What is f?
-1, 24170
Factor -4*s**2 - 524*s - 6136.
-4*(s + 13)*(s + 118)
Factor 3*n**3 - 4551*n**2 + 9090*n.
3*n*(n - 1515)*(n - 2)
Factor -j**4 + 721*j**3 + 7333*j**2 - 16825*j + 8772.
-(j - 731)*(j - 1)**2*(j + 12)
Solve 3*d**3 + 13590*d**2 + 15444891*d + 122690904 = 0.
-2261, -8
Let g**4/2 - 8883*g**3 + 79720693*g**2/2 - 3610957266*g + 82621938002 = 0. What is g?
46, 8837
Let 175*i**3/3 - 2334*i**2 - 14620*i/3 + 56 = 0. Calculate i.
-2, 2/175, 42
Suppose 3*c**5 + 2358*c**4 + 18735*c**3 + 49068*c**2 + 42012*c = 0. What is c?
-778, -3, -2, 0
Find k, given that -556*k**2/3 + 11677*k/3 - 7 = 0.
1/556, 21
Suppose -2*p**3 - 1262*p**2 + 22032*p = 0. Calculate p.
-648, 0, 17
Factor -2*b**2 - 41850*b + 334928.
-2*(b - 8)*(b + 20933)
Factor g**2/2 - 5955*g/2 + 2977.
(g - 5954)*(g - 1)/2
Find s, given that -s**3/4 + 413*s**2/2 + 28951*s/4 + 62135 = 0.
-17, 860
Suppose 3*k**3 + 276*k**2 - 7185*k - 7458 = 0. Calculate k.
-113, -1, 22
Find o such that 4*o**2 + 59792*o + 223442704 = 0.
-7474
Find d, given that -2*d**2 - 511264*d - 32673859712 = 0.
-127816
Factor 4*x**2 - 8692*x.
4*x*(x - 2173)
What is i in 3*i**2/5 + 681504*i/5 - 681507/5 = 0?
-227169, 1
Find n such that n**2/6 - 1175*n/6 + 47644 = 0.
344, 831
Determine k, given that -38642*k**3/3 + 7458184*k**2/3 - 107309*k/6 + 193/6 = 0.
1/278, 193
Factor p**4/3 + 11*p**3 - 250*p**2/3 - 208*p.
p*(p - 8)*(p + 2)*(p + 39)/3
Find o such that 2*o**4/7 - 213072*o**3/7 + 5675172716*o**2/7 - 11349706224*o/7 + 5674746578/7 = 0.
1, 53267
Factor 4*a**4 - 887160*a**3 + 2661456*a**2 - 2661448*a + 887148.
4*(a - 221787)*(a - 1)**3
Determine h, given that -2*h**4/15 + 438*h**3 - 1732268*h**2/5 - 65823296*h/3 - 212464384/5 = 0.
-57, -2, 1672
Factor 3*g**3/2 - 183*g**2/2 - 5439*g.
3*g*(g - 98)*(g + 37)/2
Factor 4*x**4 - 5220*x**3 + 1695176*x**2 + 5122128*x + 3421728.
4*(x - 654)**2*(x + 1)*(x + 2)
Factor -2*g**2 - 432*g - 19966.
-2*(g + 67)*(g + 149)
Factor -l**3 - 469*l**2 + 1420*l + 1888.
-(l - 4)*(l + 1)*(l + 472)
Factor 4*q**2 + 13044*q - 39168.
4*(q - 3)*(q + 3264)
Factor 4*g**2/5 - 6243088*g/5 + 2436009235984/5.
4*(g - 780386)**2/5
Solve -4*k**4 - 13160*k**3 + 79056*k**2 - 158176*k + 105472 = 0.
-3296, 2
Suppose -u**5/2 - 57*u**4/2 - 591*u**3/2 - 2383*u**2/2 - 2004*u - 1080 = 0. What is u?
-45, -4, -3, -1
Factor 3*p**2 + 5385*p - 5388.
3*(p - 1)*(p + 1796)
Determine v, given that -v**3/4 - 13687*v**2/4 - 10262*v + 13684 = 0.
-13684, -4, 1
Suppose -12*n**5 - 4749*n**4 - 169128*n**3 + 246315*n**2 + 999978*n - 262728 = 0. Calculate n.
-356, -41, -2, 1/4, 3
Factor 6438*w**2 - 10*w.
2*w*(3219*w - 5)
Solve 2*u**2/3 + 212*u + 13024/3 = 0 for u.
-296, -22
Factor m**3/8 - 1575*m**2/8 + 7047*m/4.
m*(m - 1566)*(m - 9)/8
Determine x, given that -x**4/11 - 10*x**3/11 + 68*x**2 + 3082*x/11 + 2325/11 = 0.
-31, -3, -1, 25
Let -m**5/2 - 317*m**4/2 - 11979*m**3 + 94770*m**2 + 236196*m = 0. What is m?
-162, -2, 0, 9
Factor 2*i**2/11 - 240*i/11 - 4050/11.
2*(i - 135)*(i + 15)/11
Determine i so that -i**5/3 + 1043*i**4/3 - 297283*i**3/3 + 13217041*i**2/3 - 166680800*i/3 + 153760000/3 = 0.
1, 25, 496
Let 4*l**5/3 + 1250*l**4/3 + 11558*l**3/3 + 13300*l**2/3 - 3232*l = 0. What is l?
-303, -8, -2, 0, 1/2
Factor 3*s**3/5 + 453539*s**2/5 + 3428278624*s - 1142769620.
(s + 75590)**2*(3*s - 1)/5
Suppose -17*f**5/8 + 223*f**4/4 + 1185*f**3/4 + 533*f**2 + 3287*f/8 + 465/4 = 0. Calculate f.
-30/17, -1, 31
Determine y, given that y**4 - 558*y**3 + 84501*y**2 - 1793372*y - 6155772 = 0.
-3, 29, 266
Factor -3*a**2/4 - 687*a/2 - 16362.
-3*(a + 54)*(a + 404)/4
What is t in 2*t**5 + 1224*t**4 - 1228*t**3 - 1224*t**2 + 1226*t = 0?
-613, -1, 0, 1
Solve 2*p**4/15 + 244*p**3/15 + 312*p**2/5 - 976*p/15 - 3776/15 = 0.
-118, -4, -2, 2
Solve k**3/8 + 243*k**2 + 3885*k/8 + 971/4 = 0.
-1942, -1
Let -c**4/7 + 156*c**3/7 + 1301*c**2/7 + 1824*c/7 - 3280/7 = 0. What is c?
-5, -4, 1, 164
Factor -o**4/3 + 2890*o**3/3 - 2888*o**2 + 8662*o/3 - 2887/3.
-(o - 2887)*(o - 1)**3/3
Let z**5 + 151431*z**4 + 5733064080*z**3 + 17197829388*z**2 = 0. What is z?
-75714, -3, 0
Factor 3*c**4 + 789*c**3 + 9144*c**2 + 27204*c + 24096.
3*(c + 2)**2*(c + 8)*(c + 251)
Factor -k**3 - 3363*k**2 - 2825760*k + 2829124.
-(k - 1)*(k + 1682)**2
Factor -u**2 - 13194*u - 26384.
-(u + 2)*(u + 13192)
Suppose -o**3 + 4109*o**2 - 8215*o + 4107 = 0. Calculate o.
1, 4107
What is x in -x**4/3 - 148*x**3/3 - 1097*x**2 + 173548*x/3 - 170108/3 = 0?
-86, 1, 23
What is f in 55660*f**4 + 182765*f**3/2 - 38145*f**2 + 3470*f + 20 = 0?
-2, -1/184, 2/11
Factor -3*y**2 + 13905*y - 83322.
-3*(y - 4629)*(y - 6)
Suppose 5*q**2 - 36435*q - 109350 = 0. Calculate q.
-3, 7290
Find i, given that -3*i**2 + 3348*i - 10017 = 0.
3, 1113
Suppose -d**3/4 - 1473*d**2/4 - 122430*d + 9931075 = 0. Calculate d.
-770, 67
Factor 51*i**2/2 + 6441*i/2 + 945.
3*(i + 126)*(17*i + 5)/2
Find i, given that 4*i**2/5 + 108712*i/5 + 738643684/5 = 0.
-13589
Suppose -3*y**4/5 - 1014*y**3 - 3065688*y**2/5 - 762663762*y/5 - 61157580741/5 = 0. What is y?
-513, -151
Let 25*i**3 + 441*i**2 = 0. Calculate i.
-441/25, 0
Factor 2*c**2/19 - 320*c/19 - 4128/19.
2*(c - 172)*(c + 12)/19
Factor 5*q**2 + 92110*q - 92115.
5*(q - 1)*(q + 18423)
Factor -o**3/3 - 74*o**2/3 - 136*o/3 + 192.
-(o - 2)*(o + 4)*(o + 72)/3
Determine i so that i**3/11 - 4811*i**2/11 + 28830*i/11 = 0.
0, 6, 4805
Solve 4*t**4 + 64*t**3 - 100*t**2 - 496*t + 816 = 0.
-17, -3, 2
Factor -39*j**4/7 + 31401*j**3/7 - 690*j**2.
-3*j**2*(j - 805)*(13*j - 2)/7
Suppose 85*f**4 - 5930*f**3 + 10160*f**2 + 2720*f = 0. What is f?
-4/17, 0, 2, 68
Factor 5*s**2 + 7220*s + 78815.
5*(s + 11)*(s + 1433)
Determine a, given that -a**2/3 + 2000*a/3 - 15157 = 0.
23, 1977
Let -8*b**4 - 892*b**3 - 13448*b**2 - 26892*b + 16920 = 0. What is b?
-94, -15, -3, 1/2
Factor m**2 - 1185*m - 55350.
(m - 1230)*(m + 45)
Determine i, given that -2*i**2/11 + 444*i/11 - 442/11 = 0.
1, 221
Factor 2*i**2 + 2305936*i + 664667604512.
2*(i + 576484)**2
Factor -2*y**2/5 - 19722*y/5 - 3944.
-2*(y + 1)*(y + 9860)/5
Find y such that 3*y**4/2 + 597*y**3/2 + 561*y**2 - 5874*y + 7092 = 0.
-197, -6, 2
Factor -5*m**2/2 + 51495*m/2 - 77220.
-5*(m - 10296)*(m - 3)/2
Solve b**4 + 12*b**3 - 268*b**2 + 480*b = 0 for b.
-24, 0, 2, 10
Factor 3*g**3 + 4231*g**2 + 271286*g.
g*(g + 1343)*(3*g + 202)
Factor -4*t**2 + 7640*t - 121216.
-4*(t - 1894)*(t - 16)
What is o in 36*o**4 - 35292*o**3 - 129812*o**2 - 74772*o - 11808 = 0?
-3, -1/3, 984
Factor o**2/6 + 75130*o/3 + 2822258450/3.
(o + 75130)**2/6
Factor 3*g**4/7 + 2274*g**3/7 - 13752*g**2/7.
3*g**2*(g - 6)*(g + 764)/7
Let -m**5/3 - 5266*m**4/3 - 6932686*m**3/3 + 15800*m**2/3 + 20808599*m/3 + 13865378/3 = 0. What is m?
-2633, -1, 2
Factor 2*p**2/5 - 1346*p/5 + 2128.
2*(p - 665)*(p - 8)/5
Find l such that -2*l**4 - 354*l**3 - 1048*l**2 - 696*l = 0.
-174, -2, -1, 0
Solve 46*w**4/3 + 858*w**3 - 112*w**2/3 = 0.
-56, 0, 1/23
What is c in -40*c**5 - 3125*c**4 + 6155*c**3 + 12325*c**2 - 6115*c - 9200 = 0?
-80, -1, 1, 23/8
Suppose -4*h**5/5 + 64*h**4/5 + 3204*h**3/5 - 15776*h**2 + 92480*h - 153600 = 0. Calculate h.
-32, 3, 5, 20
Let -g**3/8 - 1915*g**2/2 - 3667225*g/2 = 0. Calculate g.
-3830, 0
Factor k**4/2 + 61*k**3/2 + 643*k**2/2 - 705*k/2.
k*(k - 1)*(k + 15)*(k + 47)/2
Let -18*n**4 + 3272*n**3 - 24328*n**2 - 5568*n = 0. What is n?
-2/9, 0, 8, 174
Factor -2*d**3/11 - 43380*d**2/11 - 235358136*d/11 - 1410587568/11.
-2*(d + 6)*(d + 10842)**2/11
Let -5*w**4 + 805*w**3 + 3555*w**2 - 42525*w + 74250 = 0. Calculate w.
-10, 3, 165
Factor -3*f**3 - 1182*f**2 - 17133*f - 29562.
-3*(f + 2)*(f + 13)*(f + 379)
Find s, given that -5*