 - 9*p**3 - 189*p**2/5 - 147*p/5.
-3*p*(p + 1)*(p + 7)**2/5
Determine y, given that y**4/6 - 128*y**3/3 - y**2/6 + 128*y/3 = 0.
-1, 0, 1, 256
Factor y**2/2 - 1494*y + 1116018.
(y - 1494)**2/2
Determine n, given that -2*n**3/3 - 52*n**2/3 - 86*n - 120 = 0.
-20, -3
Factor -3*q**4 + 33*q**3 + 75*q**2 + 39*q.
-3*q*(q - 13)*(q + 1)**2
Suppose 4*g**4 + 56*g**3 - 156*g**2 - 2464*g + 7744 = 0. Calculate g.
-11, 4
Factor -2132*m**3 - 12796*m**2 - 19212*m - 36.
-4*(m + 3)**2*(533*m + 1)
Factor -4*v**2 + 40*v - 64.
-4*(v - 8)*(v - 2)
Factor -6*t**3/5 - 126*t**2/5 - 144*t - 120.
-6*(t + 1)*(t + 10)**2/5
Factor 75*f**2 - 65*f - 10.
5*(f - 1)*(15*f + 2)
Factor 4*b**2 - 3284*b + 3280.
4*(b - 820)*(b - 1)
Factor 3*d**2 + 174*d + 2280.
3*(d + 20)*(d + 38)
Factor -d**4/5 - 9*d**3/5 - 8*d**2/5.
-d**2*(d + 1)*(d + 8)/5
Factor -4*q**3 - 20*q**2 + 16*q + 80.
-4*(q - 2)*(q + 2)*(q + 5)
Factor d**2 - 380*d + 36100.
(d - 190)**2
What is n in 8*n**5/19 - 360*n**4/19 - 1654*n**3/19 + 4272*n**2/19 - 2854*n/19 + 588/19 = 0?
-6, 1/2, 1, 49
Find u such that 3*u**4 + 93*u**3/7 + 108*u**2/7 - 12*u/7 - 48/7 = 0.
-2, -1, 4/7
Factor 3*a**3/4 - 63*a**2/4 + 108*a - 243.
3*(a - 9)*(a - 6)**2/4
Let -2*v**4 - 46*v**3 + 48*v**2 = 0. Calculate v.
-24, 0, 1
Find m such that -25*m**2 + 2610*m - 68121 = 0.
261/5
Suppose -z**2 + 2956*z - 2184484 = 0. What is z?
1478
Solve 115*b**2 + 260*b + 60 = 0.
-2, -6/23
Let u**2 - 15*u + 44 = 0. What is u?
4, 11
Factor 223*o**2 - 222*o - 1.
(o - 1)*(223*o + 1)
Factor 4*r**3 + 452*r**2 + 12064*r - 40368.
4*(r - 3)*(r + 58)**2
Find z such that -2*z**3/21 - 22*z**2/21 - 64*z/21 - 8/3 = 0.
-7, -2
Determine z, given that -9*z**5 - 96*z**4 + 276*z**3 + 18*z**2 - 267*z + 78 = 0.
-13, -1, 1/3, 1, 2
Factor 20*b**2 + 44*b + 8.
4*(b + 2)*(5*b + 1)
Let -9*d**5/4 - 39*d**4/4 + 33*d**3/4 + 15*d**2/4 = 0. What is d?
-5, -1/3, 0, 1
Determine d, given that 6*d**3/5 - 56*d**2/5 + 34*d - 168/5 = 0.
7/3, 3, 4
Determine t, given that -t**2/6 + 17*t - 867/2 = 0.
51
Factor r**4/8 + 5*r**3/2 - 151*r**2/8 + 65*r/4.
r*(r - 5)*(r - 1)*(r + 26)/8
Suppose -4*z**3 - 28*z**2 + 112*z - 80 = 0. Calculate z.
-10, 1, 2
Find z, given that -5*z**4 + 600*z**3 - 23460*z**2 + 296240*z = 0.
0, 28, 46
What is y in 25*y**4/3 - 15*y**3/2 + 2*y**2/3 = 0?
0, 1/10, 4/5
Factor 3*b**3 - 9*b - 6.
3*(b - 2)*(b + 1)**2
Solve -350*i**5/3 + 340*i**4 + 3134*i**3/3 + 2428*i**2/3 + 248*i + 80/3 = 0.
-1, -2/5, -2/7, 5
Let 2*u**4 + 8*u**3 + 10*u**2 + 4*u = 0. What is u?
-2, -1, 0
Determine v so that 11*v**2 + 54*v + 40 = 0.
-4, -10/11
Factor -2*p**5/7 + 1196*p**4/7 - 181170*p**3/7 + 705672*p**2/7.
-2*p**2*(p - 297)**2*(p - 4)/7
What is z in -2*z**5/19 - 4*z**4/19 + 12*z**3/19 + 16*z**2/19 - 10*z/19 - 12/19 = 0?
-3, -1, 1, 2
Let 3*o**5 + 36*o**4 + 150*o**3 + 252*o**2 + 135*o = 0. What is o?
-5, -3, -1, 0
Factor -256*l**3 + 6080*l**2 - 41412*l + 60552.
-4*(l - 2)*(8*l - 87)**2
Factor 21*u**4 + 87*u**3 + 72*u**2 - 84*u - 96.
3*(u - 1)*(u + 2)**2*(7*u + 8)
Find b, given that 2*b**2/5 + 56*b + 1088/5 = 0.
-136, -4
Determine p, given that -2*p**3 - 18*p**2 + 2*p + 18 = 0.
-9, -1, 1
Suppose 57*z**3 - 792*z**2 + 2709*z + 294 = 0. What is z?
-2/19, 7
Factor -5*r**2 - 381*r/2 - 19.
-(r + 38)*(10*r + 1)/2
Solve -2*q**4/9 + 4*q**3/3 + 2*q**2/9 - 4*q/3 = 0 for q.
-1, 0, 1, 6
Factor 36*l**4 + 80*l**3 - 92*l**2 - 24*l.
4*l*(l - 1)*(l + 3)*(9*l + 2)
What is x in -x**5/2 - 2*x**4 + 13*x**3/2 + 2*x**2 - 6*x = 0?
-6, -1, 0, 1, 2
Solve 3*g**4 - 3*g**3 - 9*g**2 + 15*g - 6 = 0.
-2, 1
What is j in 2*j**3/3 + 10*j**2/3 - 2464*j/3 - 12584 = 0?
-22, 39
Suppose 4*d**5 + 8*d**4 - 24*d**3 - 80*d**2 - 76*d - 24 = 0. Calculate d.
-2, -1, 3
Factor 2*b**2/13 + 86*b/13 + 84/13.
2*(b + 1)*(b + 42)/13
Determine s, given that 5*s**4 - 170*s**3 + 1260*s**2 + 3240*s = 0.
-2, 0, 18
Determine u, given that 2*u**2 - 596*u + 44402 = 0.
149
Find z such that -2*z**5/9 - 14*z**4/9 + 2*z**3/9 + 14*z**2/9 = 0.
-7, -1, 0, 1
Factor -p**2 - 4705*p - 9406.
-(p + 2)*(p + 4703)
Determine p so that 2*p**4 - 20*p**3/3 + 2*p**2 = 0.
0, 1/3, 3
Let 2*q**4 + 2*q**3 - 6*q**2 - 2*q + 4 = 0. What is q?
-2, -1, 1
Suppose 34*l**3/5 + 344*l**2/5 + 178*l + 20 = 0. What is l?
-5, -2/17
Let -2*r**3 - 46*r**2/3 + 5852*r/3 + 3920/3 = 0. Calculate r.
-35, -2/3, 28
Let -5*o**3 - 10*o**2 + 65*o - 50 = 0. Calculate o.
-5, 1, 2
Factor -l**5/9 - 58*l**4/9 + 244*l**3/9 - 248*l**2/9.
-l**2*(l - 2)**2*(l + 62)/9
Let -2*y**4/9 + 2848*y**3/9 - 506944*y**2/3 + 360944128*y/9 - 32124027392/9 = 0. What is y?
356
Suppose 5*i**3 - 40*i**2 + 105*i - 90 = 0. Calculate i.
2, 3
Let -12*h**3 + 21*h**2 + 21*h - 30 = 0. What is h?
-5/4, 1, 2
Factor 21*n**3 - 4710*n**2 - 3381*n + 1350.
3*(n - 225)*(n + 1)*(7*n - 2)
Determine t, given that -t**3/2 - 9*t**2/2 = 0.
-9, 0
Determine q so that -3*q**4/2 + 33*q**3 - 90*q**2 + 87*q - 57/2 = 0.
1, 19
Find s, given that -4*s**2 + 440*s - 864 = 0.
2, 108
Find g such that -5*g**5 + 10*g**4 + 195*g**3 + 340*g**2 + 160*g = 0.
-4, -1, 0, 8
Determine u, given that -3*u**4 - 9420*u**3 - 11092050*u**2 - 5804839500*u - 1139199751875 = 0.
-785
Factor -32*w**2/3 - 988*w/3 + 124/3.
-4*(w + 31)*(8*w - 1)/3
Factor -44*g**3/5 - 1588*g**2/5 - 2880*g - 1296/5.
-4*(g + 18)**2*(11*g + 1)/5
What is y in -3*y**5 - 12*y**4 - 12*y**3 = 0?
-2, 0
Find c, given that -2*c**2/13 - 120*c/13 - 550/13 = 0.
-55, -5
Suppose h**4/2 - 53*h**3 - 9*h**2/2 + 477*h = 0. Calculate h.
-3, 0, 3, 106
Factor -5*k**4 - 70*k**3 - 245*k**2.
-5*k**2*(k + 7)**2
Let -4*q**3 - 128*q**2 - 532*q + 8664 = 0. Calculate q.
-19, 6
Factor -c**2/2 - 325*c/2 - 162.
-(c + 1)*(c + 324)/2
Factor -k**4 + 5*k**3 + 32*k**2 + 36*k.
-k*(k - 9)*(k + 2)**2
Factor -3*n**5 - 21*n**4 + 81*n**3 - 87*n**2 + 30*n.
-3*n*(n - 1)**3*(n + 10)
Factor 2*u**2/5 + 458*u/5 + 456/5.
2*(u + 1)*(u + 228)/5
Factor -2*y**2/3 + 158*y/3.
-2*y*(y - 79)/3
Find m, given that -3*m**4/7 - 12*m**3/7 + 60*m**2/7 + 144*m/7 = 0.
-6, -2, 0, 4
Factor -5*a**4 + 190*a**3 - 180*a**2 - 190*a + 185.
-5*(a - 37)*(a - 1)**2*(a + 1)
Factor -2*z**2/15 + 4*z - 208/15.
-2*(z - 26)*(z - 4)/15
Factor 4*d**4/7 + 20*d**3/7 + 32*d**2/7 + 16*d/7.
4*d*(d + 1)*(d + 2)**2/7
Determine j, given that -34*j**4 - 86*j**3 - 36*j**2 = 0.
-2, -9/17, 0
What is k in 1521*k**5 + 87828*k**4 + 1255929*k**3 - 363270*k**2 - 502164*k + 181656 = 0?
-29, -2/3, 6/13
Let -210*d**5 + 1366*d**4 + 6600*d**3 + 7168*d**2 + 2304*d + 160 = 0. Calculate d.
-2, -1, -2/5, -2/21, 10
Factor 4*u**3 + 148*u**2/7 - 48*u.
4*u*(u + 7)*(7*u - 12)/7
Let -2*r**4 + 16*r**3 - 42*r**2 + 44*r - 16 = 0. What is r?
1, 2, 4
Factor 2*z**3/3 + 28*z**2/3 + 70*z/3 + 44/3.
2*(z + 1)*(z + 2)*(z + 11)/3
Determine b, given that -b**4 - 25*b**3 + 142*b**2 - 236*b + 120 = 0.
-30, 1, 2
Find v such that 3*v**4 - 135*v**3 + 1584*v**2 - 1452*v = 0.
0, 1, 22
Factor -d**3/5 + d**2/5 + 6*d/5.
-d*(d - 3)*(d + 2)/5
Let 12*r**4 + 8*r**3 - 36*r**2 - 48*r - 16 = 0. Calculate r.
-1, -2/3, 2
Determine x, given that 5*x**5 + 135*x**4 + 255*x**3 - 10115*x**2 = 0.
-17, 0, 7
Suppose 5*x**3 + 30*x**2 + 60*x + 40 = 0. What is x?
-2
Factor 292*w**3/3 + 2320*w**2/3 + 4544*w/3 - 256/3.
4*(w + 4)**2*(73*w - 4)/3
Factor -a**4/4 + 5*a**3/4 + 61*a**2/4 + 55*a/4.
-a*(a - 11)*(a + 1)*(a + 5)/4
Let 10*s**5 - 85*s**4 - 255*s**3 - 215*s**2 - 55*s = 0. What is s?
-1, -1/2, 0, 11
Suppose 2*z**2/3 + 506*z/3 + 500 = 0. What is z?
-250, -3
Factor f**5 - f**3.
f**3*(f - 1)*(f + 1)
Determine h so that -h**3 - 95*h**2 - 178*h + 744 = 0.
-93, -4, 2
Factor -2*r**4 - 470*r**3 - 27376*r**2 + 27848*r.
-2*r*(r - 1)*(r + 118)**2
Suppose 2*q**4/3 - 8*q**3/3 - 34*q**2 + 36*q = 0. What is q?
-6, 0, 1, 9
Let -5*m**4 - 25*m**3 + 110*m**2 + 280*m = 0. Calculate m.
-7, -2, 0, 4
Solve -2*f**4 - 50*f**3 + 56*f**2 + 104*f = 0.
-26, -1, 0, 2
Factor 4*w**3 - 404*w**2/5 + 92*w - 76/5.
4*(w - 19)*(w - 1)*(5*w - 1)/5
Let k**4 + 33*k**3/5 + 61*k**2/5 + 3*k - 18/5 = 0. What is k?
-3, -1, 2/5
Suppose 245*d**4 + 53760*d**3 + 22875*d**2 - 26260*d + 4380 = 0. Calculate d.
-219, -1, 2/7
Factor -4*m**5 + 24*m**4 - 36*m**3 + 16*m**2.
-4*m**2*(m - 4)*(m - 1)**2
Let 8*t**4 - 14*t**3 - 10*t**2 + 12*t = 0. What is t?
-1, 0, 3/4, 2
Factor -10*k**3/3 - 656*k**2/3 + 1342*k/3 - 676/3.
-2*(k - 1)**2*(5*k + 338)/3
Suppose -4*x**5 + 4*x**4 + 136*x**3 + 248*x**2 - 132*x - 252 = 0. What is x?
-3, -1, 1, 7
Suppose -84