ctor 54*c**5 - 207*c**4 + 204*c**3 - 60*c**2.
3*c**2*(2*c - 5)*(3*c - 2)**2
What is m in -16*m**4 + 44*m**3 - 20*m**2 - 8*m = 0?
-1/4, 0, 1, 2
Factor -s**4/8 - 79*s**3/8 - 77*s**2/8 + 79*s/8 + 39/4.
-(s - 1)*(s + 1)**2*(s + 78)/8
Factor -4*u**3 - 484*u**2 - 14396*u + 14884.
-4*(u - 1)*(u + 61)**2
Suppose 5*w**2/3 + 25*w + 220/3 = 0. What is w?
-11, -4
What is b in 4*b**3 + 20*b**2 - 4*b - 20 = 0?
-5, -1, 1
Suppose 2*g**5 - 8*g**4 - 23*g**3/2 + 141*g**2/2 - 117*g/2 + 27/2 = 0. What is g?
-3, 1/2, 3
Solve -z**5/4 + 33*z**4/4 - 121*z**3/4 + 147*z**2/4 - 29*z/2 = 0 for z.
0, 1, 2, 29
Factor -3*h**2/4 - 3*h - 3.
-3*(h + 2)**2/4
Solve -2*v**4/15 - 8*v**3/3 - 278*v**2/15 - 248*v/5 - 168/5 = 0 for v.
-7, -6, -1
Factor -3*k**2 - 60*k.
-3*k*(k + 20)
Suppose 2*w**2/9 - 104*w/9 + 184/3 = 0. What is w?
6, 46
Factor -b**3/4 - 7*b**2/2 + 17*b/4 + 15/2.
-(b - 2)*(b + 1)*(b + 15)/4
Factor 2*r**4 + 60*r**3 + 450*r**2.
2*r**2*(r + 15)**2
Suppose n**5/2 + 163*n**4/2 + 6223*n**3/2 - 34107*n**2/2 + 24444*n - 10584 = 0. Calculate n.
-84, 1, 3
Factor 5*v**3 - 495*v**2 + 12000*v + 12500.
5*(v - 50)**2*(v + 1)
Let -5*o**3/6 - 55*o**2/6 + 340*o/3 - 760/3 = 0. What is o?
-19, 4
Solve 2*v**4/5 - 116*v**3/5 + 336*v**2/5 - 332*v/5 + 22 = 0.
1, 55
Suppose -t**3/3 + 1305*t**2 + t/3 - 1305 = 0. What is t?
-1, 1, 3915
Let -4*h**4 - 396*h**3 - 7860*h**2 - 50468*h - 72600 = 0. What is h?
-75, -11, -2
Determine d so that 2*d**3/3 - 36*d**2 - 464*d/3 = 0.
-4, 0, 58
Determine g so that -2*g**5/5 + 4*g**4/5 + 22*g**3/5 - 24*g**2/5 - 72*g/5 = 0.
-2, 0, 3
Factor -4*u**2/7 - 8*u/7 + 396/7.
-4*(u - 9)*(u + 11)/7
Let 3*f**4/5 + 57*f**3/5 + 144*f**2/5 - 12*f/5 - 192/5 = 0. What is f?
-16, -2, 1
Find k, given that 3*k**5/5 - 6*k**4 - 189*k**3/5 + 204*k**2 - 1092*k/5 = 0.
-7, 0, 2, 13
Let a**3/4 + 601*a**2/4 + 22650*a + 22500 = 0. Calculate a.
-300, -1
Factor -2*o**2/9 + 1622*o/9 + 1084/3.
-2*(o - 813)*(o + 2)/9
Find j such that 4*j**2 - 348*j = 0.
0, 87
Let 3*a**5 - 60*a**4 + 351*a**3 - 810*a**2 + 648*a = 0. Calculate a.
0, 2, 3, 12
Solve 3*q**3 + 78*q**2 + 627*q + 1452 = 0 for q.
-11, -4
Factor 2*n**2/7 + 424*n/7 + 22472/7.
2*(n + 106)**2/7
Find w such that -w**4 + 12*w**3 + 42*w**2 + 44*w + 15 = 0.
-1, 15
Factor -5*l**4/3 - 5*l**3 + 20*l/3.
-5*l*(l - 1)*(l + 2)**2/3
Factor 3*h**2 - 12*h - 96.
3*(h - 8)*(h + 4)
Suppose 3*y**2/5 - 3*y + 12/5 = 0. Calculate y.
1, 4
Determine a, given that -a**5/3 - 10*a**4 - 253*a**3/3 - 140*a**2 - 196*a/3 = 0.
-14, -1, 0
Solve -4*j**5/3 + 4*j**4 + 28*j**3/3 - 36*j**2 + 24*j = 0 for j.
-3, 0, 1, 2, 3
Find v such that -5*v**3/3 + 500*v**2/3 - 5520*v + 60480 = 0.
28, 36
Factor -5*f**3 - 313*f**2 - 2456*f/5 - 976/5.
-(f + 61)*(5*f + 4)**2/5
Factor 3*n**2 + 639*n + 1890.
3*(n + 3)*(n + 210)
Determine w so that -w**3/2 - 727*w**2/2 - 132495*w/2 - 131769/2 = 0.
-363, -1
Factor -15*b**3 - 95*b**2 + 340*b - 180.
-5*(b - 2)*(b + 9)*(3*b - 2)
Factor a**3/3 + 2*a**2 - 37*a/3 + 10.
(a - 3)*(a - 1)*(a + 10)/3
Let 4*q**2 - 88*q - 92 = 0. What is q?
-1, 23
Solve 10*b**5 + 475*b**4 - 1280*b**3 - 1400*b**2 + 4960*b - 2000 = 0 for b.
-50, -2, 1/2, 2
Suppose 2*o**3/15 - 4*o**2/5 + 2*o/3 + 8/5 = 0. Calculate o.
-1, 3, 4
Determine h, given that -h**5/3 + 20*h**4/3 - 17*h**3 - 4*h**2/3 + 68*h/3 = 0.
-1, 0, 2, 17
Factor -6*q**4/5 + 404*q**3/5 - 6664*q**2/5 - 4624*q/5.
-2*q*(q - 34)**2*(3*q + 2)/5
Factor -q**2 + 72*q + 468.
-(q - 78)*(q + 6)
Solve -11*p**3/12 - 29*p**2/12 + p = 0.
-3, 0, 4/11
Solve 5*o**3 - 50*o**2 + 80*o = 0 for o.
0, 2, 8
Factor -2*n**3/11 + 18*n**2/11 + 20*n/11.
-2*n*(n - 10)*(n + 1)/11
Suppose -d**4 + 55*d**3 - 392*d**2 + 752*d = 0. What is d?
0, 4, 47
Find g such that 3*g**2 + 6*g + 3 = 0.
-1
Factor -2*l**2/11 - 30*l/11 - 8.
-2*(l + 4)*(l + 11)/11
What is o in 2*o**3 + 22*o**2 = 0?
-11, 0
Determine i so that 2*i**2 - 14*i + 12 = 0.
1, 6
Factor 4*n**2 - 96*n + 320.
4*(n - 20)*(n - 4)
Solve 2*q**4 + 8*q**3 - 22*q**2 + 12*q = 0 for q.
-6, 0, 1
Factor 5*t**3 + 460*t**2 + 8880*t + 48960.
5*(t + 12)**2*(t + 68)
Solve -n**4 + n**3 + 9*n**2 + 11*n + 4 = 0 for n.
-1, 4
Suppose 2*s**2/3 - 152*s + 8664 = 0. What is s?
114
Factor -4*b**3 + 68*b**2 + 320*b + 336.
-4*(b - 21)*(b + 2)**2
Factor 3*h**2 + 7164*h + 4276908.
3*(h + 1194)**2
Factor -3*a**2/2 + 18*a.
-3*a*(a - 12)/2
Let c**2/3 + 78*c + 233/3 = 0. Calculate c.
-233, -1
Solve -u**2 + 105*u = 0 for u.
0, 105
Factor 2*z**3/13 - 34*z**2/13 + 128*z/13 - 96/13.
2*(z - 12)*(z - 4)*(z - 1)/13
What is i in 2*i**3 + 44*i**2 + 82*i + 40 = 0?
-20, -1
Suppose 2*i**2/21 + 4168*i/7 + 6514584/7 = 0. What is i?
-3126
Factor -q**3 - 1707*q**2.
-q**2*(q + 1707)
Determine l, given that -5*l**3 + 670*l**2 + 2045*l + 1370 = 0.
-2, -1, 137
Solve x**5/5 - 6*x**3/5 + 8*x**2/5 - 3*x/5 = 0.
-3, 0, 1
Solve -2*s**4 + 24*s**3 - 88*s**2 + 96*s = 0.
0, 2, 4, 6
Factor -4*g**2/5 + 92*g/5 + 432/5.
-4*(g - 27)*(g + 4)/5
Suppose -3*z**3/5 + 3*z**2 + 3*z/5 - 3 = 0. What is z?
-1, 1, 5
Factor y**2/2 - 5*y/2.
y*(y - 5)/2
Determine l, given that -l**4/7 + 68*l**3/7 - 662*l**2/7 + 2020*l/7 - 1425/7 = 0.
1, 5, 57
Suppose 7*b**5/6 + 19*b**4/6 + 4*b**3/3 - 2*b**2/3 = 0. Calculate b.
-2, -1, 0, 2/7
Solve -2*t**5/7 - 66*t**4/7 - 228*t**3/7 + 20*t**2 + 678*t/7 - 522/7 = 0 for t.
-29, -3, 1
Factor 5*x**3 + 20*x**2 - 140*x + 160.
5*(x - 2)**2*(x + 8)
Suppose -i**3/6 + 9*i**2 - 203*i/2 + 980/3 = 0. What is i?
7, 40
Factor -4*k**2 + 48*k - 44.
-4*(k - 11)*(k - 1)
Factor z**3 + 8*z**2 - 128*z.
z*(z - 8)*(z + 16)
Suppose 36*w**5 - 200*w**4 + 336*w**3 - 96*w**2 - 128*w = 0. What is w?
-4/9, 0, 2
Factor a**3/3 + 10*a**2 - 769*a/3 + 470.
(a - 15)*(a - 2)*(a + 47)/3
Suppose -4*s**4 + 16*s**3 - 64*s + 64 = 0. Calculate s.
-2, 2
Factor -6*q**3 + 321*q**2 + 501*q - 330.
-3*(q - 55)*(q + 2)*(2*q - 1)
Find d such that 102*d**2 + 105*d + 3 = 0.
-1, -1/34
Factor t**4 - 12*t**3 + 37*t**2 - 42*t + 16.
(t - 8)*(t - 2)*(t - 1)**2
Suppose -z**2/6 + 13*z/2 - 19/3 = 0. What is z?
1, 38
Factor 2*z**2 + 68*z.
2*z*(z + 34)
Factor -2*z**2/15 - 176*z/5 - 11616/5.
-2*(z + 132)**2/15
Factor o**3/7 + 137*o**2/7 + 464*o + 3052.
(o + 14)**2*(o + 109)/7
Determine d so that -d**5/3 - d**4/3 + 46*d**3/3 - 80*d**2/3 = 0.
-8, 0, 2, 5
Suppose -o**2/4 - 41*o/2 - 657/4 = 0. What is o?
-73, -9
Determine q, given that 2*q**2/3 - 4*q - 14/3 = 0.
-1, 7
Factor c**2 + 5*c - 36.
(c - 4)*(c + 9)
Factor -3*x**2 - 480*x - 19200.
-3*(x + 80)**2
Determine r so that -r**2/9 + 3116*r/9 - 2427364/9 = 0.
1558
Find i such that -2*i**4 - 40*i**3 - 234*i**2 - 324*i = 0.
-9, -2, 0
Suppose -5*j**5 + 65*j**4 + 215*j**3 - 1025*j**2 + 750*j = 0. Calculate j.
-5, 0, 1, 2, 15
Suppose -2*a**3 + 18*a**2 - 40*a + 24 = 0. Calculate a.
1, 2, 6
Suppose -k**4/4 + k**3/2 + 15*k**2/4 + k - 5 = 0. What is k?
-2, 1, 5
Determine d, given that -2*d**4 + 258*d**3 + 522*d**2 + 262*d = 0.
-1, 0, 131
Factor -i**5 + 8*i**4 - 13*i**3 - 22*i**2 + 32*i + 32.
-(i - 4)**2*(i - 2)*(i + 1)**2
Suppose z**2/8 - 21*z + 243/2 = 0. What is z?
6, 162
Solve -2*t**3/7 - 10*t**2/7 + 2*t/7 + 10/7 = 0.
-5, -1, 1
What is u in -3*u**3 + 54*u**2 = 0?
0, 18
Suppose 4*t**3 - 8*t**2 - 140*t = 0. What is t?
-5, 0, 7
Factor u**5 + 4*u**4 + 2*u**3 - 4*u**2 - 3*u.
u*(u - 1)*(u + 1)**2*(u + 3)
Let 10*t**2 + 176*t + 102 = 0. Calculate t.
-17, -3/5
Factor 4*h**5 + 16*h**4 - 164*h**3 + 144*h**2.
4*h**2*(h - 4)*(h - 1)*(h + 9)
Determine c, given that 5*c**5/3 - 190*c**4/3 + 1580*c**3/3 + 4760*c**2/3 - 6400*c/3 - 16000/3 = 0.
-2, 2, 20
Factor -2*v**4 - 20*v**3 + 658*v**2 + 1380*v.
-2*v*(v - 15)*(v + 2)*(v + 23)
Factor -v**2/2 - 57*v - 113/2.
-(v + 1)*(v + 113)/2
Factor l**3 + 227*l**2 + 12535*l - 39675.
(l - 3)*(l + 115)**2
Factor -3*z**3/2 - 39*z**2 - 507*z/2.
-3*z*(z + 13)**2/2
Suppose -2*i**4/3 + 100*i**3/3 - 632*i**2/3 + 436*i - 258 = 0. Calculate i.
1, 3, 43
Factor 2*n**2 - 8*n - 42.
2*(n - 7)*(n + 3)
Suppose 2*d**4/9 - 62*d**3/9 + 416*d**2/9 + 160*d/3 = 0. Calculate d.
-1, 0, 12, 20
Factor 8*f**3/5 - 311*f**2/5 - 359*f/5 - 8.
(f - 40)*(f + 1)*(8*f + 1)/5
Determine l so that -3*l**3/2 - 39*l**2/2 - 105*l/2 + 147/2 = 0.
-7, 1
What is m in -m**2/3 - 121*m/3 - 580/3 = 0?
-116, -5
Find v, given that 3*v**2 - 390*v + 12675 = 0.
65
Solve -2*q**5/11 - 6*q**4/11 + 2*q**3/11 + 6*q**2/11 = 0.
-3, -1, 0, 1
Factor -2*i**2/3 + 10*i/3 - 4.
-2*(i - 3)*(i - 2)/3
Find f such that -f**4/