7 + 144*q/7 + 21 = 0?
-1, 49
Factor 2*c**2 + 564*c + 39762.
2*(c + 141)**2
Determine u so that 5*u**2 - 300*u + 4500 = 0.
30
Let -4*o**2/7 - 60*o/7 - 8 = 0. Calculate o.
-14, -1
Determine p so that -2*p**2 - 64*p + 136 = 0.
-34, 2
Factor 5*j**3/4 + 35*j**2/2 + 255*j/4 + 135/2.
5*(j + 2)*(j + 3)*(j + 9)/4
Solve 13*m**5/2 - 51*m**4 + 109*m**3 - 86*m**2 + 33*m/2 + 5 = 0.
-2/13, 1, 5
Factor 5*z**2/2 - 7785*z/2 + 3890.
5*(z - 1556)*(z - 1)/2
Find h such that -14*h**4 + 104*h**3 + 322*h**2 - 1164*h + 432 = 0.
-4, 3/7, 2, 9
Determine h so that 3*h**2 - 129*h + 360 = 0.
3, 40
Factor -d**3/3 - 111*d**2/2 + 28*d + 167/6.
-(d - 1)*(d + 167)*(2*d + 1)/6
Let 4*c**2/9 - 260*c/9 - 88/3 = 0. What is c?
-1, 66
Factor -c**5/2 + 5*c**4 - 12*c**3 + 11*c**2 - 7*c/2.
-c*(c - 7)*(c - 1)**3/2
Factor -5*t**2 - 220*t - 420.
-5*(t + 2)*(t + 42)
Determine b, given that -b**3/9 + 8*b**2/9 + b = 0.
-1, 0, 9
Factor -3*x**3 + 99*x**2 - 888*x + 1404.
-3*(x - 18)*(x - 13)*(x - 2)
Let 2*l**2/5 + 6*l + 108/5 = 0. What is l?
-9, -6
Determine q, given that -2*q**2/7 + 290*q/7 + 292/7 = 0.
-1, 146
Factor -4*y**3 - 32*y**2 + 236*y - 312.
-4*(y - 3)*(y - 2)*(y + 13)
Factor -3*f**3 + 51*f**2 - 225*f + 297.
-3*(f - 11)*(f - 3)**2
Find g such that 14*g**5 + 2150*g**4 - 6516*g**3/7 - 7400*g**2/7 - 176*g = 0.
-154, -2/7, 0, 1
Find y, given that 2*y**2/7 + 90*y/7 + 172/7 = 0.
-43, -2
Factor 12*j**3/5 + 268*j**2/5 + 772*j/5 + 228/5.
4*(j + 3)*(j + 19)*(3*j + 1)/5
Solve 4*f**3 + 292*f**2 - 1924*f - 2212 = 0.
-79, -1, 7
Determine y, given that -2*y**3 - 60*y**2 - 166*y - 108 = 0.
-27, -2, -1
Solve 3*f**4/5 - 147*f**3/5 - 9*f**2/5 + 87*f + 294/5 = 0.
-1, 2, 49
Factor 4*m**2 - 84*m - 88.
4*(m - 22)*(m + 1)
Factor -h**4 + 40*h**3 - 399*h**2 - 40*h + 400.
-(h - 20)**2*(h - 1)*(h + 1)
Solve -2*h**4/9 + 14*h**3/9 + 6*h**2 + 58*h/9 + 20/9 = 0 for h.
-1, 10
What is o in 16*o**2 + 148*o + 160 = 0?
-8, -5/4
Solve 5*o**5 + 275*o**4 + 4410*o**3 + 17390*o**2 + 22625*o + 9375 = 0 for o.
-25, -3, -1
Factor -4*h**3/5 - 92*h**2/5 - 96*h + 576/5.
-4*(h - 1)*(h + 12)**2/5
Find k, given that k**2 + 2077*k - 2078 = 0.
-2078, 1
Factor 3*a**2/5 + 108*a/5 - 351/5.
3*(a - 3)*(a + 39)/5
Factor 3*q**3/4 - 533*q**2/4 - 180*q + 179.
(q - 179)*(q + 2)*(3*q - 2)/4
Solve c**2 - 3*c - 990 = 0 for c.
-30, 33
Find i such that -8*i**4/11 + 54*i**3/11 + 254*i**2/11 + 60*i/11 = 0.
-3, -1/4, 0, 10
Factor -v**3 + 25*v**2 - 12*v - 288.
-(v - 24)*(v - 4)*(v + 3)
Determine u so that -5*u**5 + 50*u**3 - 100*u**2 + 75*u - 20 = 0.
-4, 1
Let -2*q**2/5 + 6*q/5 - 4/5 = 0. What is q?
1, 2
Factor -m**2 + 996*m - 248004.
-(m - 498)**2
Suppose -z**5/2 + 21*z**4/2 - 43*z**3 - 132*z**2 = 0. Calculate z.
-2, 0, 11, 12
Determine g, given that g**4 + 29*g**3 - 93*g**2 + 95*g - 32 = 0.
-32, 1
Factor -z**3 + 64*z**2 + 131*z + 66.
-(z - 66)*(z + 1)**2
Determine v so that 4*v**2 + 944*v + 55696 = 0.
-118
Solve 5*t**4 + 60*t**3 + 205*t**2 + 150*t = 0.
-6, -5, -1, 0
What is z in 5*z**4 + 90*z**3 - 100*z**2 - 90*z + 95 = 0?
-19, -1, 1
Find b such that -b**5/5 - 3*b**4/5 - b**3/5 + 3*b**2/5 + 2*b/5 = 0.
-2, -1, 0, 1
Solve 5*l**4 + 155*l**3 + 1485*l**2 + 3025*l - 13310 = 0 for l.
-11, 2
Find p, given that -2*p**4/3 + 46*p**3/3 + 100*p**2/3 = 0.
-2, 0, 25
Factor 2*x**3/13 - 154*x**2/13 + 3040*x/13 - 2888/13.
2*(x - 38)**2*(x - 1)/13
Let -4*s**3/9 - 272*s**2/3 + 548*s/3 - 824/9 = 0. Calculate s.
-206, 1
Factor 4*c**2 - 8*c - 12.
4*(c - 3)*(c + 1)
Suppose o**4/3 - 160*o**3/9 - 277*o**2/9 + 110*o/9 = 0. Calculate o.
-2, 0, 1/3, 55
What is f in 2*f**2 - 2*f - 24 = 0?
-3, 4
Factor w**3/6 - 5*w**2/2 + 21*w/2 - 49/6.
(w - 7)**2*(w - 1)/6
Factor -3*v**2 + 1137*v + 1140.
-3*(v - 380)*(v + 1)
Factor -4*l**5 + 24*l**4 - 44*l**3 + 8*l**2 + 48*l - 32.
-4*(l - 2)**3*(l - 1)*(l + 1)
Factor -o**3/2 + 10*o**2 + 291*o/2 + 135.
-(o - 30)*(o + 1)*(o + 9)/2
Factor -2*p**3/3 + 510*p**2.
-2*p**2*(p - 765)/3
Solve -2*g**4 + 17*g**3/3 + 7*g**2/3 - 13*g/3 + 1 = 0.
-1, 1/3, 1/2, 3
Determine x so that 2*x**5/7 + 342*x**4/7 + 20742*x**3/7 + 511450*x**2/7 + 4179792*x/7 + 10719144/7 = 0.
-53, -6
Determine b so that b**5/3 + 5*b**4/2 + 37*b**3/6 + 11*b**2/2 + 3*b/2 = 0.
-3, -1, -1/2, 0
Factor -2*f**2/9 - 14*f/3 + 92/9.
-2*(f - 2)*(f + 23)/9
Let -315*x**2/2 + 3153*x - 60 = 0. Calculate x.
2/105, 20
Factor -r**2/4 - r/4 + 1/2.
-(r - 1)*(r + 2)/4
Determine t so that 2*t**3 - 2*t**2 = 0.
0, 1
Factor 2*m**3 - 2*m.
2*m*(m - 1)*(m + 1)
Factor -3*d**2 - 48114*d - 192913083.
-3*(d + 8019)**2
Let 2*m**5 + 3*m**4/2 - 29*m**3/2 - 45*m**2/2 - 11*m/2 + 3 = 0. Calculate m.
-2, -1, 1/4, 3
Find r, given that r**3/4 + 40*r**2 = 0.
-160, 0
Factor z**2/3 + 19*z/3 + 34/3.
(z + 2)*(z + 17)/3
Suppose -5*i**3 + 100*i**2 - 585*i + 810 = 0. Calculate i.
2, 9
Let -2*p**2 + 94*p/5 - 36/5 = 0. Calculate p.
2/5, 9
Suppose d**2/6 - 1849*d/3 + 3418801/6 = 0. Calculate d.
1849
Factor 2*i**3/11 - 78*i**2/11 + 288*i/11 - 280/11.
2*(i - 35)*(i - 2)**2/11
What is v in 4*v**2 - 44*v + 40 = 0?
1, 10
Factor -i**2/10 + 1696*i/5 - 3391/10.
-(i - 3391)*(i - 1)/10
Factor 2*o**2/13 - 258*o/13 - 20.
2*(o - 130)*(o + 1)/13
Factor -3*a**5 - 396*a**4 - 9099*a**3 + 255798*a**2 - 1725300*a + 3645000.
-3*(a - 6)**3*(a + 75)**2
Factor y**4 - 8*y**3 + 6*y**2 + 8*y - 7.
(y - 7)*(y - 1)**2*(y + 1)
Factor 4*f**3 + 12*f**2 - 36*f + 20.
4*(f - 1)**2*(f + 5)
Solve -4*f**3 - 64*f**2 + 68*f = 0 for f.
-17, 0, 1
Factor -3*g**2 - 9*g + 84.
-3*(g - 4)*(g + 7)
Let -3*t**4/7 + 60*t**3/7 - 6*t**2 - 276*t/7 - 171/7 = 0. What is t?
-1, 3, 19
Factor p**4/2 - 29*p**3/2 - 3*p**2/2 + 89*p/2 - 29.
(p - 29)*(p - 1)**2*(p + 2)/2
Let -2*u**4/11 - 2*u**3/11 + 24*u**2/11 - 8*u/11 - 32/11 = 0. What is u?
-4, -1, 2
Factor -22*k**4 - 18*k**3 + 4*k**2.
-2*k**2*(k + 1)*(11*k - 2)
Let -4*l**3 - 166*l**2 + 256*l - 86 = 0. What is l?
-43, 1/2, 1
Solve -15*b**5 - 335*b**4 - 2200*b**3 - 3480*b**2 + 400*b + 2000 = 0.
-10, -2, -1, 2/3
Suppose -2*o**4/9 - 22*o**3/9 - 10*o**2/9 + 94*o/9 - 20/3 = 0. What is o?
-10, -3, 1
Factor -2*m**2 - 20*m + 112.
-2*(m - 4)*(m + 14)
Factor 4*r**2 - 1156*r.
4*r*(r - 289)
Determine d so that -d**3/2 - 222*d**2 = 0.
-444, 0
Let 2*n**2/3 - 824*n/3 + 84872/3 = 0. What is n?
206
Suppose 2*v**3/7 - 110*v**2/7 - 2466*v/7 - 11826/7 = 0. Calculate v.
-9, 73
Factor -q**3/6 - 11*q**2/3 + 101*q/6 - 13.
-(q - 3)*(q - 1)*(q + 26)/6
Factor 2*w**2/3 - 1491*w + 2236/3.
(w - 2236)*(2*w - 1)/3
Suppose 40*c**4 - 185*c**3 + 5*c**2 + 350*c + 120 = 0. What is c?
-1, -3/8, 2, 4
Find p such that p**2/4 + 3679*p/2 + 13535041/4 = 0.
-3679
Let -5*q**5 + 390*q**4 - 2875*q**3 + 5210*q**2 + 2880*q - 5600 = 0. Calculate q.
-1, 1, 4, 70
Factor 3*l**3 - 12*l**2 - 3*l + 12.
3*(l - 4)*(l - 1)*(l + 1)
Let 4*p**3 + 116*p**2 + 1100*p + 3388 = 0. Calculate p.
-11, -7
Factor 4*z**2 - 24*z + 20.
4*(z - 5)*(z - 1)
Factor -5*p**4 + 190*p**3 - 865*p**2 + 1340*p - 660.
-5*(p - 33)*(p - 2)**2*(p - 1)
Solve p**3/3 - 4*p**2/3 - 4*p/3 + 16/3 = 0.
-2, 2, 4
Factor -2*h**3/11 - 10*h**2/11.
-2*h**2*(h + 5)/11
Find t, given that -5*t**5 - 15*t**4 + 15*t**3 + 35*t**2 - 30*t = 0.
-3, -2, 0, 1
Factor -o**3/5 - 5*o**2 + 53*o/5 - 27/5.
-(o - 1)**2*(o + 27)/5
Let -4*m**5/5 - 192*m**4/5 - 3492*m**3/5 - 30024*m**2/5 - 24624*m - 38880 = 0. Calculate m.
-15, -6
Factor -6*w**2/19 + 44*w/19 - 48/19.
-2*(w - 6)*(3*w - 4)/19
Let 2*y**4 - 114*y**3 - 360*y**2 = 0. Calculate y.
-3, 0, 60
Factor -4*d**2 + 144*d - 812.
-4*(d - 29)*(d - 7)
Factor 2*g**2/5 - 196*g/5 + 4802/5.
2*(g - 49)**2/5
Suppose -2*x**2 + 46*x + 48 = 0. Calculate x.
-1, 24
Factor -3*q**5 - 9*q**4 - 6*q**3.
-3*q**3*(q + 1)*(q + 2)
Factor 2*q**5/5 - 8*q**3/5 - 4*q**2/5 + 6*q/5 + 4/5.
2*(q - 2)*(q - 1)*(q + 1)**3/5
Solve 5*m**4 - 135*m**3 + 105*m**2 + 635*m + 390 = 0 for m.
-1, 3, 26
Let -5*r**3/7 - 2426*r**2/7 - 293301*r/7 + 236196/7 = 0. What is r?
-243, 4/5
Factor -b**5 + 346*b**4 - 45064*b**3 + 2632976*b**2 - 59789264*b + 109401632.
-(b - 86)**4*(b - 2)
Determine m, given that -2*m**5/9 + 14*m**4/9 - 28*m**3/9 + 4*m**2/9 + 10*m/3 - 2 = 0.
-1, 1, 3
Factor -5*r**3/6 + 11*r**2/6 - r/3.
-r*(r - 2)*(5*r - 1)/6
Suppose 65*j**2/3 - 355*j/3 - 70 = 0. Calculate j.
-7/13, 6
Factor 2*c**3/15 + 106*c**2/15 + 206*c/15 + 34/5.
2*(c + 1)**2*(c + 51)/15
Factor -4*m**5/3 - 1376*m**4/3 + 4200*m**3 - 12672*m**2 + 12708*m.
-4*m*(m - 3)**3*(m + 353)/3
Determine d, gi