*4 + 140*m**3 + 1536*m**2 + 4720*m - 6400 = 0. What is m?
-16, -10, 1
Factor -162*m**5 + 7884*m**4 - 20304*m**3 + 20064*m**2 - 8864*m + 1472.
-2*(m - 46)*(3*m - 2)**4
Factor 7*l**3 - 2*l**2 - 7*l + 2.
(l - 1)*(l + 1)*(7*l - 2)
Find f, given that -2*f**5/19 - 4*f**4/19 + 30*f**3/19 + 40*f**2/19 - 88*f/19 - 96/19 = 0.
-4, -2, -1, 2, 3
Let -c**3/3 - 2*c**2/3 = 0. Calculate c.
-2, 0
Find t such that 2*t**4 - 306*t**2 + 1944*t - 3240 = 0.
-15, 3, 6
Solve -2*y**5/9 - 2164*y**4/9 - 781922*y**3/9 - 10541040*y**2 - 20822400*y - 10368000 = 0.
-360, -1
Suppose 42*b**3 - 15166*b**2 + 16564*b - 1440 = 0. What is b?
2/21, 1, 360
Solve -3*h**3 - 45*h**2 - 168*h - 180 = 0.
-10, -3, -2
Suppose 900*q**4 + 4260*q**3 + 4216*q**2 - 1360*q + 96 = 0. Calculate q.
-3, -2, 2/15
Let -2*i**3/15 + 116*i**2/15 + 496*i/15 = 0. Calculate i.
-4, 0, 62
Solve -2*h**5/11 + 34*h**4/11 + 4*h**3/11 - 680*h**2/11 + 1744*h/11 - 1280/11 = 0 for h.
-5, 2, 16
Solve 2*f**4 - 22*f**3 - 24*f**2 = 0 for f.
-1, 0, 12
Determine m, given that -2*m**3/9 + 2*m**2/9 + 2*m/9 - 2/9 = 0.
-1, 1
Factor -2*q**2/3 + 52*q - 1690/3.
-2*(q - 65)*(q - 13)/3
Factor -3*t**3 + 120*t**2 + 12*t - 480.
-3*(t - 40)*(t - 2)*(t + 2)
Factor -3*h**3 - 531*h**2 - 1572*h - 1044.
-3*(h + 1)*(h + 2)*(h + 174)
Solve -2*b**2/3 - 362*b/3 + 368 = 0.
-184, 3
Find q such that 2*q**4 - 30*q**3 - 2*q**2 + 30*q = 0.
-1, 0, 1, 15
Factor 2*f**4 + 20*f**3 - 144*f**2 - 1620*f - 1458.
2*(f - 9)*(f + 1)*(f + 9)**2
Solve -2*l**2/7 + 8*l/7 = 0.
0, 4
Factor -2*l**3/9 + 46*l**2/9 - 40*l/3.
-2*l*(l - 20)*(l - 3)/9
Find u such that 112*u**5 - 80*u**4 - 4*u**3 + 8*u**2 = 0.
-2/7, 0, 1/2
Factor c**2/2 + 341*c + 116281/2.
(c + 341)**2/2
Let -6*h**2/7 + 46*h/7 + 16/7 = 0. Calculate h.
-1/3, 8
Factor -2*r**3/3 - 10*r**2/3 + 24*r.
-2*r*(r - 4)*(r + 9)/3
Determine s so that s**5 - 116*s**4 + 114*s**3 + 116*s**2 - 115*s = 0.
-1, 0, 1, 115
Suppose 3*n**2 + 81*n - 1404 = 0. What is n?
-39, 12
Let -3*o**3/5 + 123*o**2/5 - 264*o + 240 = 0. Calculate o.
1, 20
Factor u**2/4 + 3*u + 9.
(u + 6)**2/4
Factor -g**3 + 1167*g**2 - 339888*g - 341056.
-(g - 584)**2*(g + 1)
Find n, given that 3*n**3 + 1044*n**2 - 12*n - 4176 = 0.
-348, -2, 2
Find i, given that 2*i**3/13 - 32*i**2/13 - 72*i/13 = 0.
-2, 0, 18
Solve 2*x**4/19 + 80*x**3/19 + 1184*x**2/19 + 7680*x/19 + 18432/19 = 0 for x.
-12, -8
Solve 5*k**2 + 19140*k + 18316980 = 0.
-1914
Find q such that -28*q**3 - 38*q**2 + 2*q + 12 = 0.
-1, -6/7, 1/2
Find l such that l**3 - 4*l**2 - 7*l + 10 = 0.
-2, 1, 5
Factor 2*w**2/9 + 110*w/9 + 12.
2*(w + 1)*(w + 54)/9
Factor -3*u**3 + 297*u**2 - 8037*u + 33135.
-3*(u - 47)**2*(u - 5)
Factor t**4/2 - 474*t**3 + 111863*t**2 + 225150*t + 225625/2.
(t - 475)**2*(t + 1)**2/2
Let -5*c**4 - 1235*c**3 - 7290*c**2 - 14500*c - 9640 = 0. Calculate c.
-241, -2
Determine o so that -3*o**4 - 6*o**3 = 0.
-2, 0
Factor o**3 + 54*o**2 + 540*o - 5400.
(o - 6)*(o + 30)**2
Let s**3/3 + s**2/6 - s/3 - 1/6 = 0. What is s?
-1, -1/2, 1
Suppose 2*a**5/9 - 14*a**4/3 - 46*a**3/9 + 14*a**2/3 + 44*a/9 = 0. Calculate a.
-1, 0, 1, 22
Factor 2*m**3/7 + 2286*m**2/7 + 870966*m/7 + 110612682/7.
2*(m + 381)**3/7
Let 4*q**2 + 48*q = 0. What is q?
-12, 0
Solve -x**4/2 + 133*x**3/2 + 411*x**2 + 830*x + 556 = 0.
-2, 139
Factor -3*i**3 + 9*i**2 + 18*i - 24.
-3*(i - 4)*(i - 1)*(i + 2)
Factor -48*h**2 - 189*h + 12.
-3*(h + 4)*(16*h - 1)
Determine u, given that 4*u**5/7 + 106*u**4/7 + 774*u**3/7 + 934*u**2/7 - 50*u/7 - 312/7 = 0.
-13, -12, -1, 1/2
Solve -2*f**3 + 26*f**2 + 130*f + 102 = 0.
-3, -1, 17
Factor v**3 - 22*v**2 + 21*v.
v*(v - 21)*(v - 1)
Factor -35*q**2 - 130*q + 40.
-5*(q + 4)*(7*q - 2)
Factor -3*j**3 + 48*j**2 - 252*j + 432.
-3*(j - 6)**2*(j - 4)
Suppose 2*y**3 + 28*y**2 + 128*y + 192 = 0. What is y?
-6, -4
What is p in 2*p**4 + 112*p**3 + 940*p**2 - 2224*p + 1170 = 0?
-45, -13, 1
Solve -g**3/10 + 159*g**2/10 - 6399*g/10 + 6241/10 = 0 for g.
1, 79
Factor 3*o**3 - 24*o**2 + 36*o.
3*o*(o - 6)*(o - 2)
Suppose u**5/5 - u**4/5 - 3*u**3/5 + u**2/5 + 2*u/5 = 0. What is u?
-1, 0, 1, 2
Factor 343*k**5/4 + 4361*k**4/4 + 5411*k**3/2 - 9495*k**2/2 + 8883*k/4 - 1323/4.
(k + 7)**2*(7*k - 3)**3/4
Solve -3*y**4 + 129*y**3 + 552*y**2 + 564*y = 0.
-2, 0, 47
Factor 5*d**3 - 205*d**2 + 390*d.
5*d*(d - 39)*(d - 2)
Solve -8*k**5/5 - 6*k**4/5 + 18*k**3/5 - 4*k**2/5 = 0.
-2, 0, 1/4, 1
Factor -3*a**3 - 924*a**2 - 69264*a + 292032.
-3*(a - 4)*(a + 156)**2
Solve 3*r**4 - 28*r**3 + 69*r**2 - 20*r = 0 for r.
0, 1/3, 4, 5
Let 2*i**4/15 - 16*i**3/15 - 2*i**2/15 + 16*i/15 = 0. What is i?
-1, 0, 1, 8
Let 2*c**3/9 - 2600*c**2/9 + 847594*c/9 - 1684804/9 = 0. Calculate c.
2, 649
Factor i**3 + 9*i**2 - i - 9.
(i - 1)*(i + 1)*(i + 9)
Let 20*k**4 - 1415*k**3 + 17545*k**2 - 12025*k - 4125 = 0. What is k?
-1/4, 1, 15, 55
Factor -15*z**4 - 590*z**3 - 5600*z**2 + 4000*z.
-5*z*(z + 20)**2*(3*z - 2)
Factor -3*u**3/7 - 81*u**2 - 27621*u/7 - 77841/7.
-3*(u + 3)*(u + 93)**2/7
Factor 3*m**2/5 - 297*m/5 - 60.
3*(m - 100)*(m + 1)/5
Factor 2*b**3 - 536*b**2 - 2168*b - 2176.
2*(b - 272)*(b + 2)**2
Solve -3*z**5 - 699*z**4 + 711*z**3 + 2091*z**2 - 3504*z + 1404 = 0.
-234, -2, 1
Factor -m**3/3 + 25*m**2/3 - 22*m/3 - 16.
-(m - 24)*(m - 2)*(m + 1)/3
Factor -2*g**4/7 - 6*g**3/7 - 4*g**2/7.
-2*g**2*(g + 1)*(g + 2)/7
Factor 125*d**2 - 385*d - 510.
5*(d + 1)*(25*d - 102)
Factor -k**2 + 5*k + 6.
-(k - 6)*(k + 1)
Find k, given that k**4 - 34*k**3 + 357*k**2 - 836*k - 3388 = 0.
-2, 11, 14
Factor -4*o**2 - 260*o.
-4*o*(o + 65)
What is c in -2*c**5 - 1626*c**4 - 3244*c**3 + 4*c**2 + 3246*c + 1622 = 0?
-811, -1, 1
Suppose 2*f**2/5 + 10*f + 48/5 = 0. Calculate f.
-24, -1
Suppose 3*c**3/7 + 213*c**2/7 + 1644*c/7 - 1860/7 = 0. What is c?
-62, -10, 1
Factor 4*g**3 - 184*g**2 + 2116*g.
4*g*(g - 23)**2
Factor 2*r**3/5 - 398*r**2/5 - 80*r.
2*r*(r - 200)*(r + 1)/5
Factor -2*o**5 + 2*o**4 + 2*o**3 - 2*o**2.
-2*o**2*(o - 1)**2*(o + 1)
What is l in -3*l**3 - 306*l**2 - 9963*l - 100860 = 0?
-41, -20
Factor 5*g**3/6 + 35*g**2/6.
5*g**2*(g + 7)/6
Find t such that -2*t**3/9 - 296*t**2/9 - 1280*t - 4608 = 0.
-72, -4
Factor -4*u**3 - 172*u**2 - 776*u - 608.
-4*(u + 1)*(u + 4)*(u + 38)
Factor -3*k**3/8 - 27*k**2/8 - 3*k.
-3*k*(k + 1)*(k + 8)/8
Determine z so that 3*z**4/8 + 15*z**3/4 + 81*z**2/8 + 27*z/4 = 0.
-6, -3, -1, 0
Suppose -14*b**2/9 + 536*b/9 - 152/9 = 0. What is b?
2/7, 38
Factor 2*g**2 - 100*g - 798.
2*(g - 57)*(g + 7)
Find l, given that -15*l**4 + 35*l**3 + 485*l**2 - 1515*l + 450 = 0.
-6, 1/3, 3, 5
Determine j so that -2*j**5/15 - 34*j**4/15 + 24*j**3/5 + 544*j**2/15 - 1792*j/15 + 96 = 0.
-18, -5, 2
Find q such that 2*q**3 + 426*q**2 - 858*q + 430 = 0.
-215, 1
Suppose 5*o**4 - 140*o**3 + 1335*o**2 - 4700*o + 3500 = 0. Calculate o.
1, 7, 10
Find c such that -2*c**5/3 + 18*c**4 + 280*c**3 + 3584*c**2/3 + 2048*c + 1248 = 0.
-6, -2, 39
Factor -5*q**5 - 30*q**4 - 45*q**3.
-5*q**3*(q + 3)**2
Determine m, given that 5*m**3 + 25*m**2 + 10*m - 40 = 0.
-4, -2, 1
Factor 3*p**2 - 669*p - 672.
3*(p - 224)*(p + 1)
Factor -2*y**3/7 + 2*y/7.
-2*y*(y - 1)*(y + 1)/7
Factor -5*s**4 - 55*s**3 - 85*s**2 + 355*s - 210.
-5*(s - 1)**2*(s + 6)*(s + 7)
Let -160*k**5 - 60*k**4 + 725*k**3 + 225*k**2 - 340*k + 60 = 0. Calculate k.
-2, -1, 1/4, 3/8, 2
Factor 93*w**2/5 - 129*w - 42/5.
3*(w - 7)*(31*w + 2)/5
Suppose -3*r**5 + 2*r**4 + 37*r**3 + 12*r**2 = 0. Calculate r.
-3, -1/3, 0, 4
Factor -2*p**2 - 34*p - 60.
-2*(p + 2)*(p + 15)
Solve -3645*c**3 + 17010*c**2 - 26460*c + 13720 = 0.
14/9
Factor -a**2 + 1509*a + 1510.
-(a - 1510)*(a + 1)
What is m in -10*m**4/9 - 196*m**3/9 - 1250*m**2/9 - 2408*m/9 + 392/3 = 0?
-7, -6, 2/5
Factor 4*j**2 - 48*j.
4*j*(j - 12)
Suppose 4*p**3 - 620*p**2 + 6336*p = 0. What is p?
0, 11, 144
Solve -9*s**5 + 48*s**4 + 9*s**3 - 108*s**2 - 60*s = 0.
-1, -2/3, 0, 2, 5
Factor -j**4/4 + j**3/4 + j**2/4 - j/4.
-j*(j - 1)**2*(j + 1)/4
What is o in -5*o**3 + 5*o**2 + 200*o - 560 = 0?
-7, 4
Let x**5 + 3*x**4 + 2*x**3 = 0. What is x?
-2, -1, 0
Solve -3*z**4 + 591*z**3 + 1791*z**2 + 1797*z + 600 = 0 for z.
-1, 200
Factor -2*m**3 - 4*m**2 + 14*m - 8.
-2*(m - 1)**2*(m + 4)
Find o, given that -o**3 - 35*o**2 - 288*o + 324 = 0.
-18, 1
Factor b**2/4 - 55*b + 3025.
(b - 110)**2/4
Solve -2*o**5 + 94*o**4 + 202*o**3 - 294*o**2 = 0 for o.
-3, 0, 1, 49
Let p**2 - 42*p + 80 = 0. Calculate p.
2, 40
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