 + 1)/5
Factor 2*p**4 + 276*p**3 + 270*p**2 - 548*p.
2*p*(p - 1)*(p + 2)*(p + 137)
Factor 4*w**3/3 + 5*w**2/3 - 68*w/3 + 28.
(w - 2)**2*(4*w + 21)/3
Factor -3*k**4 + 24*k**3 + 27*k**2.
-3*k**2*(k - 9)*(k + 1)
Determine k so that 4*k**2 + 8*k = 0.
-2, 0
Determine z so that 3*z**3 - 6*z**2 - 15*z + 18 = 0.
-2, 1, 3
Find j, given that 3*j**2 - 21*j - 54 = 0.
-2, 9
Determine b, given that 3*b**3 + 5931*b**2 = 0.
-1977, 0
Solve 15*a**4 + 108*a**3 - 20943*a**2/5 + 16476*a/5 - 3276/5 = 0 for a.
-21, 2/5, 13
Suppose 20*u**2 + 12*u - 56 = 0. Calculate u.
-2, 7/5
Find s, given that 4*s**2/3 - 66*s + 98/3 = 0.
1/2, 49
Factor 18*k**2/7 - 1104*k + 118496.
2*(3*k - 644)**2/7
Find d such that -2*d**5/3 + 14*d**4 - 256*d**3/3 + 168*d**2 - 96*d = 0.
0, 1, 2, 6, 12
Solve j**5 + 6*j**4 - j**3 - 38*j**2 + 32 = 0.
-4, -1, 1, 2
Factor 4*p**2/3 - 2668*p/3.
4*p*(p - 667)/3
What is g in -g**3 + 139*g**2 - 4144*g - 49284 = 0?
-9, 74
Factor 4*u**3/5 - 36*u**2 + 176*u/5.
4*u*(u - 44)*(u - 1)/5
Suppose -5*f**3 + 47*f**2 - 18*f = 0. What is f?
0, 2/5, 9
What is y in 5*y**3/2 + 39*y**2 - 106*y + 36 = 0?
-18, 2/5, 2
Determine h so that -2*h**4 + 178*h**3 + 366*h**2 - 178*h - 364 = 0.
-2, -1, 1, 91
Let 124*c**2/7 + 472*c/7 - 96/7 = 0. Calculate c.
-4, 6/31
Find t such that -4*t**2 - 32*t + 80 = 0.
-10, 2
Factor -3*d**5/5 + 84*d**4/5 + 87*d**3/5.
-3*d**3*(d - 29)*(d + 1)/5
Solve -p**3/4 - 41*p**2/4 - 399*p/4 + 441/4 = 0.
-21, 1
Let -4*w**5 + 68*w**4 - 268*w**3 - 644*w**2 + 3136*w + 5488 = 0. What is w?
-2, 7
What is p in -2*p**2/3 + 156*p - 9126 = 0?
117
Factor 30*c**3 + 85*c**2 - 15*c.
5*c*(c + 3)*(6*c - 1)
Factor 3*p**2 - 33*p.
3*p*(p - 11)
Factor -n**3/4 + 99*n**2/4 + 76*n + 51.
-(n - 102)*(n + 1)*(n + 2)/4
Find w, given that 10*w**4 - 514*w**3 - 1578*w**2/5 + 938*w/5 - 104/5 = 0.
-1, 1/5, 52
Factor -2*o**2/7 - 20*o/7 - 32/7.
-2*(o + 2)*(o + 8)/7
Factor 2*m**5/3 + 28*m**4/3 + 40*m**3 + 48*m**2.
2*m**2*(m + 2)*(m + 6)**2/3
Suppose o**5/4 + 39*o**4/4 + 109*o**3/2 - 1601*o**2/2 + 5589*o/4 - 2645/4 = 0. Calculate o.
-23, 1, 5
Find z, given that 2*z**5 + 6*z**4 - 36*z**3 - 44*z**2 + 162*z - 90 = 0.
-5, -3, 1, 3
Solve -3*t**5/5 - 126*t**4 - 33063*t**3/5 + 504*t**2 + 26460*t = 0.
-105, -2, 0, 2
Factor -4*m**3/3 + 12*m**2 + 136*m/3 + 32.
-4*(m - 12)*(m + 1)*(m + 2)/3
Solve -98*x**4/5 + 182*x**3 + 796*x**2/5 - 888*x/5 - 144 = 0 for x.
-6/7, 1, 10
Suppose -k**4/2 + 4*k**3 = 0. What is k?
0, 8
Find c, given that -c**4 + 5*c**2 - 4 = 0.
-2, -1, 1, 2
Find v such that 2*v**2/5 + 1244*v/5 + 496 = 0.
-620, -2
Determine r so that r**3/10 + 37*r**2/10 - 89*r/2 + 235/2 = 0.
-47, 5
Suppose c**4 - 16*c**3 + 72*c**2 - 432 = 0. Calculate c.
-2, 6
Find o, given that 2*o**2/3 - 12*o + 34/3 = 0.
1, 17
Factor n**5/4 - 27*n**4/4 + 69*n**3/2 + 293*n**2/2 + 645*n/4 + 225/4.
(n - 15)**2*(n + 1)**3/4
Determine b, given that -5*b**3 - 360*b**2 + 735*b - 370 = 0.
-74, 1
Factor -4*y**2 + 952*y + 956.
-4*(y - 239)*(y + 1)
Factor -5*c**2 - 780*c - 30420.
-5*(c + 78)**2
Factor -y**4/6 + 7*y**3/6 - 5*y**2/2 + 13*y/6 - 2/3.
-(y - 4)*(y - 1)**3/6
Find p, given that -5*p**5 + 5*p**4 + 55*p**3 - 45*p**2 - 90*p = 0.
-3, -1, 0, 2, 3
Factor 4*m**2 + 1232*m + 94864.
4*(m + 154)**2
Factor -f**4/3 + 10*f**3 + 32*f**2 - 9728*f/3 + 24576.
-(f - 16)**3*(f + 18)/3
Let 4*r**2/7 - 24*r/7 + 20/7 = 0. Calculate r.
1, 5
Factor 5*r**2 - 50*r.
5*r*(r - 10)
Suppose -g**5 - 10*g**4 - 24*g**3 + 10*g**2 + 25*g = 0. Calculate g.
-5, -1, 0, 1
Factor -2*r**3/9 - 4*r**2/3 - 22*r/9 - 4/3.
-2*(r + 1)*(r + 2)*(r + 3)/9
Determine z so that 4*z**2 - 292*z - 296 = 0.
-1, 74
Factor 2*i**3/19 - 124*i**2/19 - 430*i/19 + 88752/19.
2*(i - 43)**2*(i + 24)/19
Determine y, given that -245*y**4 - 6790*y**3 + 1955*y**2 - 140*y = 0.
-28, 0, 1/7
What is k in -3*k**2 + 3*k + 6 = 0?
-1, 2
Factor -d**3/2 - 7*d**2/2 + d/2 + 7/2.
-(d - 1)*(d + 1)*(d + 7)/2
Find q such that 5*q**5 - 35*q**3 + 10*q**2 + 60*q - 40 = 0.
-2, 1, 2
Factor 4*l**5 + 29*l**4 + 71*l**3 + 64*l**2 + 12*l.
l*(l + 2)**2*(l + 3)*(4*l + 1)
Factor 3*x**2 + 405*x + 3048.
3*(x + 8)*(x + 127)
Let -4*o**2 - 148*o - 144 = 0. What is o?
-36, -1
Solve -4*v**2 + 9784*v - 5982916 = 0 for v.
1223
Determine n, given that 2*n**5/13 + 10*n**4/13 + 8*n**3/13 - 32*n**2/13 - 64*n/13 - 32/13 = 0.
-2, -1, 2
Solve 2*c**5/3 - 7*c**4/3 - 8*c**3/3 + 22*c**2/3 + 10*c + 3 = 0.
-1, -1/2, 3
Suppose 4*g**5 + 32*g**4/3 + 88*g**3/9 + 32*g**2/9 + 4*g/9 = 0. Calculate g.
-1, -1/3, 0
Let 2*r**3/15 - 2*r**2 + 48*r/5 - 224/15 = 0. Calculate r.
4, 7
Determine s so that -4*s**3 + 472*s**2 - 12932*s - 59536 = 0.
-4, 61
Find u, given that -3*u**3 + 83*u**2/3 - 66*u + 40/3 = 0.
2/9, 4, 5
Find k such that 2*k**4/19 + 120*k**3/19 + 1544*k**2/19 - 7680*k/19 + 8192/19 = 0.
-32, 2
Let -5*j**5 + 355*j**4 - 1035*j**3 + 1025*j**2 - 340*j = 0. What is j?
0, 1, 68
Determine m, given that -m**3/5 - 7*m**2 - 34*m/5 = 0.
-34, -1, 0
What is b in -2*b**5/13 - 9454*b**4/13 - 11186438*b**3/13 - 33502610*b**2/13 - 33483712*b/13 - 11158088/13 = 0?
-2362, -1
Suppose 9*t**5 + 53*t**4 + 67*t**3 - 21*t**2 - 76*t - 32 = 0. What is t?
-4, -1, -8/9, 1
Solve -126*b**3 + 22*b**2 + 116*b - 32 = 0.
-1, 2/7, 8/9
What is c in 4*c**3 + 12*c**2 - 4*c - 12 = 0?
-3, -1, 1
Solve 4*c**3 + 216*c**2 - 4*c - 216 = 0.
-54, -1, 1
Factor -m**2/10 - 21*m/5 - 41/10.
-(m + 1)*(m + 41)/10
Suppose 15*p**3 - 35*p**2 - 10*p + 40 = 0. Calculate p.
-1, 4/3, 2
Find s such that 12*s**2 + 8716*s + 2904 = 0.
-726, -1/3
Factor 4*m**2 + 2280*m + 2276.
4*(m + 1)*(m + 569)
Let l**2/2 - 34*l = 0. Calculate l.
0, 68
Suppose -2*j**5/11 - 4*j**4/11 + 18*j**3/11 + 4*j**2/11 - 16*j/11 = 0. What is j?
-4, -1, 0, 1, 2
Find s such that -10*s**4 + 296*s**3 + 120*s**2 = 0.
-2/5, 0, 30
Factor -s**2/3 - 5954*s/3 - 8862529/3.
-(s + 2977)**2/3
Determine y so that 6*y**4 + 19*y**3 + 15*y**2 + 2*y = 0.
-2, -1, -1/6, 0
Factor 47089*m**2/5 + 2604*m/5 + 36/5.
(217*m + 6)**2/5
Solve -4*c**3/7 - 20*c**2/7 + 4*c/7 + 20/7 = 0 for c.
-5, -1, 1
Suppose l**4 - 15*l**3 + 54*l**2 - 40*l = 0. What is l?
0, 1, 4, 10
Let -4*h**2 + 4920*h - 1512900 = 0. What is h?
615
Let 2*b**5/3 + 236*b**4/3 = 0. Calculate b.
-118, 0
Solve 14*d**3 - 60*d**2 + 72*d - 16 = 0 for d.
2/7, 2
Suppose -2*g**2/11 + 60*g/11 - 250/11 = 0. What is g?
5, 25
Determine w, given that w**5/4 + 13*w**4/2 + 34*w**3 - 124*w**2 - 140*w + 392 = 0.
-14, -2, 2
Factor -3*t**3 - 12*t**2 + 57*t - 42.
-3*(t - 2)*(t - 1)*(t + 7)
Let 3*o**2/5 - 387*o/5 - 78 = 0. What is o?
-1, 130
Factor 5*r**4 + 3520*r**3 + 929280*r**2 + 109035520*r + 4797562880.
5*(r + 176)**4
Determine g so that g**3 - 24*g**2 + 128*g = 0.
0, 8, 16
Factor -2*y**2/13 - 40*y/13 - 200/13.
-2*(y + 10)**2/13
What is s in -3*s**3 + 21*s + 18 = 0?
-2, -1, 3
Determine u so that -5*u**5 - 5*u**4 + 70*u**3 + 140*u**2 - 40*u - 160 = 0.
-2, 1, 4
Let 2*o**3 + 126*o**2 + 2646*o + 18522 = 0. What is o?
-21
What is g in 59895*g**5 + 7260*g**4 - 9185*g**3 - 30*g**2 + 420*g - 40 = 0?
-1/3, 2/11
Factor -v**5 + 11*v**4 + 13*v**3 - 11*v**2 - 12*v.
-v*(v - 12)*(v - 1)*(v + 1)**2
Suppose -3*c**3 + 75*c**2 + 2511*c - 63423 = 0. What is c?
-29, 27
Solve 5*n**2 - 11105*n = 0.
0, 2221
Factor -y**4/2 - 23*y**3/2 + 6*y**2 + 130*y - 184.
-(y - 2)**2*(y + 4)*(y + 23)/2
Factor -2*b**2/5 - 784*b/5 + 474.
-2*(b - 3)*(b + 395)/5
Find a such that 10*a**3 - 755*a**2 - 1150*a - 385 = 0.
-1, -1/2, 77
Factor -4*g**2 + 2484*g + 2488.
-4*(g - 622)*(g + 1)
Factor 3*s**2 - 522*s - 3240.
3*(s - 180)*(s + 6)
Factor n**2/7 - 7314*n/7 + 13373649/7.
(n - 3657)**2/7
What is c in -c**4 + 10*c**3 - 36*c**2 + 56*c - 32 = 0?
2, 4
Factor 4*v**2 + 1460*v - 7400.
4*(v - 5)*(v + 370)
Solve -2*q**3/7 + 568*q**2/7 = 0.
0, 284
Solve -5*c**2 - 9*c = 0.
-9/5, 0
Solve -2*y**2 + 532*y - 35378 = 0.
133
Find t such that 3*t**2 + 14760*t + 18154800 = 0.
-2460
Suppose 15*b**4 + 10*b**3 - 800*b**2 + 2080*b = 0. What is b?
-26/3, 0, 4
Let 14*v**2 - 592*v + 168 = 0. Calculate v.
2/7, 42
Determine k, given that 3*k**4 + 747*k**3 + 1482*k**2 = 0.
-247, -2, 0
Factor 5*r**3/2 + 73*r**2/6 - 110*r/3 + 14/3.
(r - 2)*(r + 7)*(15*r - 2)/6
Let 2*u**3/15 + 14*u**2/15 - 112*u/15 - 88/5 = 0. What is u?
-11, -2, 6
Let -3*o**3 - 6*o**2 + 57*o + 60 = 0. What is o?
-5, -1, 4
Let 2*z**4 + 56*z**3 - 58*z**2 = 0. Calculate z.
-29, 0, 1
Suppose -5*q**2/2 + 15*q + 675/2 = 0. What is q?
-9