*2/3 - 23*f/3 - 58 = 0.
-6, 29
Suppose -12*m**5 + 124*m**4 - 308*m**3 + 180*m**2 + 128*m - 112 = 0. What is m?
-2/3, 1, 2, 7
Determine y so that -3*y**2/7 - 90*y/7 = 0.
-30, 0
Suppose l**2/7 - 760*l/7 + 144400/7 = 0. Calculate l.
380
Solve -28*w**3 - 11416*w**2 - 1161984*w + 332928 = 0 for w.
-204, 2/7
Find d, given that -4*d**4 + 44*d**3 - 72*d**2 = 0.
0, 2, 9
Determine d so that -3*d**2 - 57*d = 0.
-19, 0
Determine f, given that -24*f**3 + 105*f**2 + 2268*f - 864 = 0.
-8, 3/8, 12
Let q**3/4 + 3*q**2 - 195*q/4 + 275/2 = 0. What is q?
-22, 5
Let -14*x**4/17 + 2250*x**3/17 + 2940*x**2/17 - 3880*x/17 - 1296/17 = 0. Calculate x.
-2, -2/7, 1, 162
Solve -i**2/3 + i + 4/3 = 0.
-1, 4
Suppose -28*i**5 + 76*i**4 + 108*i**3 - 172*i**2 - 224*i - 48 = 0. Calculate i.
-1, -2/7, 2, 3
Factor -g**2 + 125*g - 366.
-(g - 122)*(g - 3)
Let -25*l**3/3 - 5615*l**2/3 - 3350*l/3 + 2240/3 = 0. Calculate l.
-224, -1, 2/5
Let -2*v**2/3 - 62*v + 380/3 = 0. What is v?
-95, 2
Suppose b**2 - 13*b + 12 = 0. What is b?
1, 12
Factor 5*g**2 + 100*g + 255.
5*(g + 3)*(g + 17)
Find o such that o**5/7 - 12*o**4/7 = 0.
0, 12
Find x such that 76*x**3 + 156*x**2 + 84*x + 4 = 0.
-1, -1/19
Suppose r**3 - 12*r**2 - 9*r + 108 = 0. Calculate r.
-3, 3, 12
Determine j, given that -j**3/9 + 214*j**2/3 - 427*j/3 + 640/9 = 0.
1, 640
Let -8*l**3 + 36*l**2 - 81*l/2 + 27/2 = 0. Calculate l.
3/4, 3
Factor 2*c**3/11 + 1292*c**2/11 + 208658*c/11.
2*c*(c + 323)**2/11
What is w in 15*w**5 + 63*w**4 + 84*w**3 + 36*w**2 = 0?
-2, -6/5, -1, 0
Factor -w**4 - 18*w**3 - 16*w**2 + 18*w + 17.
-(w - 1)*(w + 1)**2*(w + 17)
Factor -4*a**4 + 68*a**3 - 408*a**2 + 1008*a - 864.
-4*(a - 6)**2*(a - 3)*(a - 2)
Factor 4*w**4 + 4*w**3 - 40*w**2 - 16*w + 96.
4*(w - 2)**2*(w + 2)*(w + 3)
Suppose -3*u**5 + 9*u**4 - 9*u**3 + 3*u**2 = 0. What is u?
0, 1
Factor 5*w**3 - 60*w**2 + 225*w - 270.
5*(w - 6)*(w - 3)**2
Factor 2*z**2 + 252*z - 774.
2*(z - 3)*(z + 129)
Let 22*u**5/3 + 28*u**4/3 - 10*u**3/3 - 16*u**2/3 = 0. What is u?
-1, 0, 8/11
Factor -3*j**3 + 1506*j**2 + 3021*j + 1512.
-3*(j - 504)*(j + 1)**2
Factor -s**2/3 - 238*s/3.
-s*(s + 238)/3
Factor 5*q**4 - 805*q**3 + 42930*q**2 - 743580*q - 787320.
5*(q - 54)**3*(q + 1)
Suppose -2*w**3/21 - 44*w**2/21 = 0. Calculate w.
-22, 0
Factor 5*v**2 + 155*v.
5*v*(v + 31)
Let -3*r**5/7 - 36*r**4/7 + 3*r**3/7 + 36*r**2/7 = 0. Calculate r.
-12, -1, 0, 1
What is u in -2*u**5/9 - 2*u**4/9 + 32*u**3/9 + 32*u**2/9 = 0?
-4, -1, 0, 4
Factor -6*z**2 + 711*z + 357.
-3*(z - 119)*(2*z + 1)
Suppose 4*t**4 - 2512*t**3 - 12*t**2 + 7528*t + 5024 = 0. What is t?
-1, 2, 628
Factor i**2/2 - 293*i/4 + 73/2.
(i - 146)*(2*i - 1)/4
Let 5*d**3 - 240*d**2 + 3105*d - 5290 = 0. Calculate d.
2, 23
Factor -2*t**2/3 + 2*t/3 + 8.
-2*(t - 4)*(t + 3)/3
Factor -b**2/12 - 29*b/12 - 23/2.
-(b + 6)*(b + 23)/12
Determine u so that 2*u**3/3 + 4*u**2/3 - 16*u/3 = 0.
-4, 0, 2
Factor -r**2/3 - 1360*r/3 - 462400/3.
-(r + 680)**2/3
Factor 2*h**2/5 + 48*h/5 - 58.
2*(h - 5)*(h + 29)/5
Find a such that -2*a**3 + 40*a**2 + 42*a = 0.
-1, 0, 21
Solve 5*u**2 + 2510*u + 315005 = 0 for u.
-251
Factor -2*l**2/9 + 50*l/9 - 16/3.
-2*(l - 24)*(l - 1)/9
Factor 3*k**4 - 45*k**3 + 222*k**2 - 396*k + 216.
3*(k - 6)**2*(k - 2)*(k - 1)
Factor 4*s**3/3 + 58*s**2/3 + 38*s - 24.
2*(s + 3)*(s + 12)*(2*s - 1)/3
Let -x**4/7 + 26*x**3 - 9609*x**2/7 + 17264*x - 440896/7 = 0. What is x?
8, 83
Determine k so that 4*k**3/5 + 28*k**2/5 - 8*k - 64/5 = 0.
-8, -1, 2
Solve 2*a**4 - 12*a**3 + 24*a**2 - 16*a = 0.
0, 2
Suppose -o**5/3 + 16*o**4/3 - 79*o**3/3 + 52*o**2 - 36*o = 0. What is o?
0, 2, 3, 9
Suppose -3*r**3 - 258*r**2 + 525*r - 264 = 0. Calculate r.
-88, 1
Solve -3*s**4 + 39*s**3 + 171*s**2 - 447*s + 240 = 0 for s.
-5, 1, 16
Factor -w**2/3 + 4748*w/3 - 5635876/3.
-(w - 2374)**2/3
Suppose -112*t**3 + 340*t**2 - 12*t = 0. What is t?
0, 1/28, 3
Solve 5*h**4 - 25*h**3 - 40*h**2 + 60*h = 0 for h.
-2, 0, 1, 6
Suppose -k**3 + 19*k**2 + 64*k + 44 = 0. Calculate k.
-2, -1, 22
Factor -3*c**2/2 + 597*c/2 + 300.
-3*(c - 200)*(c + 1)/2
Let 15*p**3 + 2555*p**2/2 + 3920*p + 2050 = 0. Calculate p.
-82, -5/2, -2/3
Factor 4*g**3 - 20*g**2 - 32*g + 192.
4*(g - 4)**2*(g + 3)
Determine i, given that 8*i**4 - 180*i**3 + 256*i**2 - 84*i = 0.
0, 1/2, 1, 21
Solve -3*n**5/5 - 3*n**4/5 + 9*n**3/5 + 3*n**2 + 6*n/5 = 0.
-1, 0, 2
Determine l so that -4*l**2 + 1628*l + 6576 = 0.
-4, 411
Factor 10*j**4 - 215*j**3 - 110*j**2.
5*j**2*(j - 22)*(2*j + 1)
Find p such that -2*p**2/7 - 16*p/7 + 18/7 = 0.
-9, 1
Determine a, given that -42849*a**3 + 86112*a**2 - 829*a + 2 = 0.
1/207, 2
Determine x so that -28*x**3 + 302*x**2 - 600*x - 1224 = 0.
-17/14, 6
Suppose -1004*b**2 - 2040*b - 64 = 0. Calculate b.
-2, -8/251
Suppose 686*b**5/3 + 21560*b**4/3 + 210350*b**3/3 + 153660*b**2 - 547560*b + 316368 = 0. What is b?
-78/7, 1
Factor 6*r**3 + 7*r**2/3.
r**2*(18*r + 7)/3
Factor -a**4/7 - 68*a**3/7 - 381*a**2/7 - 562*a/7 - 248/7.
-(a + 1)**2*(a + 4)*(a + 62)/7
Factor -3*c**3/5 - 4*c**2 - 39*c/5 - 18/5.
-(c + 3)**2*(3*c + 2)/5
Solve 4*h**4 - 64*h**3 - 220*h**2 - 152*h = 0 for h.
-2, -1, 0, 19
Solve 4*p**2 - 128*p - 576 = 0 for p.
-4, 36
Factor -8*i**2/7 + 1454*i/7 + 52.
-2*(i - 182)*(4*i + 1)/7
Factor r**3 - 19*r**2 + 119*r - 245.
(r - 7)**2*(r - 5)
Factor -2*x**4/9 - 2*x**3/9 + 2*x**2 + 2*x.
-2*x*(x - 3)*(x + 1)*(x + 3)/9
Factor -y**4/3 - 14*y**3/3 + 464*y**2/3 - 678*y - 837.
-(y - 9)**2*(y + 1)*(y + 31)/3
Find v, given that -5*v**2 - 1100*v - 60500 = 0.
-110
What is i in 2*i**3 + 18*i**2 - 24*i - 40 = 0?
-10, -1, 2
Solve -3*z**4/4 - 15*z**3/4 - 9*z**2/4 + 27*z/4 = 0.
-3, 0, 1
Solve -11*y**5/3 - 71*y**4 - 1330*y**3/3 - 2920*y**2/3 - 768*y - 512/3 = 0 for y.
-8, -2, -1, -4/11
Suppose -4*c**3/7 + 116*c**2/7 - 216*c/7 = 0. What is c?
0, 2, 27
Determine y so that -y**2 + 633*y = 0.
0, 633
Determine d so that -4*d**4 - 116*d**3 - 216*d**2 = 0.
-27, -2, 0
Suppose -4*z**4/3 + 16*z**3 - 24*z**2 - 304*z/3 - 60 = 0. Calculate z.
-1, 5, 9
Factor -u**4 - 72*u**3 - 1222*u**2 + 2664*u - 1369.
-(u - 1)**2*(u + 37)**2
Find i such that i**3/4 - 3*i + 4 = 0.
-4, 2
Factor -4*f**5 + 28*f**4 + 68*f**3 + 36*f**2.
-4*f**2*(f - 9)*(f + 1)**2
Factor 8*g**3 - 84*g**2 - 252*g - 104.
4*(g - 13)*(g + 2)*(2*g + 1)
Factor -o**2/3 + 334*o/3.
-o*(o - 334)/3
Find d such that 2*d**2 + 62*d/7 + 24/7 = 0.
-4, -3/7
Find k, given that -3*k**5/7 - 102*k**4/7 - 183*k**3/7 + 300*k**2/7 + 372*k/7 - 384/7 = 0.
-32, -2, 1
Factor -7*x**3 + 10*x**2 + 81*x - 36.
-(x - 4)*(x + 3)*(7*x - 3)
Suppose -27*d**3 - 1983*d**2 + 1122*d + 888 = 0. What is d?
-74, -4/9, 1
What is q in 3*q**3/5 - 936*q**2/5 - 1908*q/5 + 7536/5 = 0?
-4, 2, 314
Let -4*s**3 - 272*s**2 - 1948*s - 1680 = 0. Calculate s.
-60, -7, -1
Let 10*u**3/11 - 994*u**2/11 + 1376*u/11 - 392/11 = 0. What is u?
2/5, 1, 98
Determine d so that -2*d**4 + 7840*d**3 - 11524800*d**2 + 7529536000*d - 1844736320000 = 0.
980
Suppose 5*d**5/2 - 36*d**4 + 94*d**3 + 3*d**2 - 193*d/2 + 33 = 0. What is d?
-1, 2/5, 1, 3, 11
Suppose -r**4/2 + 14*r**3 - 27*r**2/2 = 0. Calculate r.
0, 1, 27
Solve 3*n**2 - 69*n = 0.
0, 23
Solve 3*t**2/4 - 579*t/2 + 111747/4 = 0 for t.
193
What is p in p**3/7 - 4*p**2/7 - 5*p/7 = 0?
-1, 0, 5
Solve 5*q**4/4 + 45*q**3/4 - 5*q**2 - 45*q = 0.
-9, -2, 0, 2
Let 3*c**4 - 1944*c**3 + 314928*c**2 = 0. Calculate c.
0, 324
Factor -t**2 + 30*t + 31.
-(t - 31)*(t + 1)
Find k, given that 2*k**3/7 - 30*k**2/7 + 54*k/7 - 26/7 = 0.
1, 13
Find o such that 2*o**3 + 2*o**2 - 18*o - 18 = 0.
-3, -1, 3
Let 3*m**4 - 159*m**3 - 12*m**2 + 636*m = 0. Calculate m.
-2, 0, 2, 53
Let -5*n**4/4 - 25*n**3/4 + 55*n**2/4 + 165*n/4 + 45/2 = 0. What is n?
-6, -1, 3
Suppose -50*h**5/3 - 290*h**4 - 1172*h**3 + 11612*h**2/15 - 798*h/5 + 54/5 = 0. What is h?
-9, 1/5
Factor 2*j**4/9 + 38*j**3/9 - 14*j**2 + 130*j/9 - 44/9.
2*(j - 1)**3*(j + 22)/9
Factor 4*h**3/3 + 44*h**2/3 - 64*h/3 - 1280/3.
4*(h - 5)*(h + 8)**2/3
Let -2*x**2 - 188*x - 4290 = 0. Calculate x.
-55, -39
Suppose -2*l**4 + 8*l**3 + 90*l**2 = 0. Calculate l.
-5, 0, 9
Solve -3*f**3 + 9*f**2 + 27*f + 15 = 0 for f.
-1, 5
Let -2*n**2 - 480*n - 28800 = 0. Calculate n.
-120
Determine k so that 4*k**3 + 464*k**2 - 476*k - 936 = 0.
-117, -1, 2
Find r such that -3*r**2 - 60*r - 153 = 0.
-17, -3
Determine c, given that 4*c**2/9 - 4*c/3 - 40/9 = 0.
-2, 5
Factor 2*z**5 - 