40*i - 2649920 = 0. Calculate i.
1, 728
Solve -29*s**2/5 + 6*s/5 = 0.
0, 6/29
Factor -4*u**4/9 + 32*u**3/9 + 4*u**2.
-4*u**2*(u - 9)*(u + 1)/9
Factor -o**4/3 - o**3 - o**2 - o/3.
-o*(o + 1)**3/3
Let 5*n**5/4 + 145*n**4/4 + 255*n**3/4 - 425*n**2/4 - 130*n + 135 = 0. What is n?
-27, -2, 1
Factor 3*o**3 + 9*o**2.
3*o**2*(o + 3)
Determine k, given that 10*k**5 - 75*k**4 - 35*k**3 + 510*k**2 - 20*k - 840 = 0.
-2, -3/2, 2, 7
Find x such that -x**5 + 18*x**4 + 60*x**3 + 62*x**2 + 21*x = 0.
-1, 0, 21
Find j such that 2*j**3/3 - 4*j**2 - 10*j - 16/3 = 0.
-1, 8
Solve -4*n**2 + 288*n - 5184 = 0 for n.
36
Factor -5*u**3/2 + 70*u**2 + 510*u.
-5*u*(u - 34)*(u + 6)/2
Factor -2*b**2 - 20*b - 42.
-2*(b + 3)*(b + 7)
Solve -2*c**3/13 + 60*c**2/13 - 486*c/13 + 748/13 = 0.
2, 11, 17
Factor -2*j**4 + 22*j**3 - 36*j**2.
-2*j**2*(j - 9)*(j - 2)
Suppose 2*w**4/5 + 6*w**3/5 - 12*w**2/5 - 16*w/5 = 0. What is w?
-4, -1, 0, 2
Let 500*v**4 + 450*v**3 - 130*v**2 - 72*v + 8 = 0. What is v?
-1, -2/5, 1/10, 2/5
Find q, given that 5*q**2 + 1075*q = 0.
-215, 0
Determine x, given that 3*x**4/5 + 1116*x**3/5 + 102666*x**2/5 - 208692*x/5 + 104907/5 = 0.
-187, 1
Factor -2*z**3/3 + 70*z**2/3 - 68*z/3.
-2*z*(z - 34)*(z - 1)/3
Let 1628*q**2/7 - 1620*q/7 - 8/7 = 0. Calculate q.
-2/407, 1
Solve 5*c**3 + 75*c**2 + 90*c - 520 = 0 for c.
-13, -4, 2
Suppose -o**5/5 - 13*o**4/5 - 16*o**3/5 + 188*o**2/5 - 64*o/5 - 256/5 = 0. What is o?
-8, -1, 2
Suppose -3*k**5/2 + 99*k**4 - 285*k**3 + 90*k**2 + 573*k/2 - 189 = 0. What is k?
-1, 1, 2, 63
Factor 2*b**4/3 + 10*b**3/3 - 8*b**2/3 - 40*b/3.
2*b*(b - 2)*(b + 2)*(b + 5)/3
Solve 2*q**3/7 - 82*q**2/7 + 1040*q/7 - 600 = 0 for q.
10, 21
Determine c so that -4*c**4 + 24*c**3 + 204*c**2 - 464*c + 240 = 0.
-6, 1, 10
Factor 2*a**2 + 148*a.
2*a*(a + 74)
Factor 5*v**2 + 290*v - 295.
5*(v - 1)*(v + 59)
Factor -c**4/6 - 16*c**3/3 - 191*c**2/6 - 206*c/3 - 50.
-(c + 2)**2*(c + 3)*(c + 25)/6
Determine w so that -2*w**5/9 - 16*w**4/9 + 4*w**3/9 + 32*w**2/9 - 2*w/9 - 16/9 = 0.
-8, -1, 1
Solve 15*y**2 + 6125*y/3 + 680/3 = 0.
-136, -1/9
Factor 400*g**3 + 360*g**2 - 39*g + 1.
(g + 1)*(20*g - 1)**2
Find c, given that -c**3/2 - 3*c**2 + 7*c/2 = 0.
-7, 0, 1
Factor 332*c**3 + 1000*c**2 + 12*c.
4*c*(c + 3)*(83*c + 1)
Solve 4*c**5 - 152*c**4 + 2128*c**3 - 13112*c**2 + 32428*c - 21296 = 0 for c.
1, 4, 11
Solve -33*w**5 + 4482*w**4 - 151776*w**3 - 27744*w**2 = 0.
-2/11, 0, 68
Find c, given that 3*c**4 - 27*c**3 - 891*c**2 - 1689*c - 828 = 0.
-12, -1, 23
Find d, given that d**2/2 + 5*d + 12 = 0.
-6, -4
Determine m so that -3*m**4/8 + 21*m**3/2 - 285*m**2/8 - 21*m/2 + 36 = 0.
-1, 1, 4, 24
Find v, given that v**2 + 7*v - 18 = 0.
-9, 2
Factor 4*p**3 + 80*p**2 - 848*p + 1344.
4*(p - 6)*(p - 2)*(p + 28)
Factor w**3/9 + 16*w**2/9 + 23*w/3 + 10.
(w + 3)**2*(w + 10)/9
Factor -2*l**3/3 - 10*l**2/3 + 38*l - 66.
-2*(l - 3)**2*(l + 11)/3
Factor q**2/7 - 127*q/7 + 250/7.
(q - 125)*(q - 2)/7
Factor -3*t**5 + 25*t**4 + 248*t**3/3 + 176*t**2/3.
-t**2*(t - 11)*(3*t + 4)**2/3
What is h in -4*h**2/3 - 164*h/3 + 376 = 0?
-47, 6
Find c, given that 6*c**4/7 + 180*c**3/7 + 1782*c**2/7 + 5808*c/7 = 0.
-11, -8, 0
Factor 2*i**4/9 + 76*i**3/9 + 104*i**2 + 3380*i/9 - 4394/9.
2*(i - 1)*(i + 13)**3/9
Find y such that y**3/3 + 190*y**2/3 + 2944*y - 6144 = 0.
-96, 2
Factor -h**2 + 8*h - 15.
-(h - 5)*(h - 3)
Find s, given that -s**2/5 + 186*s/5 - 8649/5 = 0.
93
Determine i so that i**3 + 6*i**2 - 64*i + 96 = 0.
-12, 2, 4
Determine u, given that -5*u**3 - 20*u**2 + 95*u - 70 = 0.
-7, 1, 2
Factor -y**5 + 2*y**4 - y**3.
-y**3*(y - 1)**2
Find t, given that 2*t**2 - 1348*t - 2704 = 0.
-2, 676
Determine o so that -22*o**3/7 + 30*o**2/7 - 8*o/7 = 0.
0, 4/11, 1
Factor 2*z**2/7 + 3968*z/7 + 1968128/7.
2*(z + 992)**2/7
What is q in -q**5 - 16*q**4 + 36*q**3 - 2*q**2 - 35*q + 18 = 0?
-18, -1, 1
Solve -28561*k**2/3 - 1352*k/3 - 16/3 = 0 for k.
-4/169
Let 70*u**4 + 8815*u**3 + 277200*u**2 - 19845*u = 0. Calculate u.
-63, 0, 1/14
Determine z so that -2*z**4/9 + 2*z**3 = 0.
0, 9
Factor -3*x**3/7 + 30*x**2/7 - 81*x/7 + 54/7.
-3*(x - 6)*(x - 3)*(x - 1)/7
Find u such that 2*u**3/3 + 58*u**2/3 + 56*u/3 = 0.
-28, -1, 0
Factor -3*w**5/5 + 18*w**3/5 - 24*w**2/5 + 9*w/5.
-3*w*(w - 1)**3*(w + 3)/5
Find w such that 2*w**5/7 - 36*w**4/7 - 104*w**3/7 + 508*w**2/7 - 570*w/7 + 200/7 = 0.
-5, 1, 20
Factor -2*x**3/9 - 86*x**2/9 + 92*x/9 + 176/9.
-2*(x - 2)*(x + 1)*(x + 44)/9
Factor 5*f**5 - 5*f**4 - 15*f**3 + 25*f**2 - 10*f.
5*f*(f - 1)**3*(f + 2)
Factor 2*d**2 - 24*d + 22.
2*(d - 11)*(d - 1)
Factor v**3 + 88*v**2 + 1936*v.
v*(v + 44)**2
Factor 6*n**4 + 27*n**3 - 60*n**2 - 36*n.
3*n*(n - 2)*(n + 6)*(2*n + 1)
Factor 2*t**3/11 - 82*t**2/11 + 80*t - 800/11.
2*(t - 20)**2*(t - 1)/11
Solve -t**3 + 3*t**2 + 16*t + 12 = 0 for t.
-2, -1, 6
Factor g**5 + 51*g**4 + 504*g**3 - 3920*g**2.
g**2*(g - 5)*(g + 28)**2
Factor b**2/5 - 33*b/5 + 116/5.
(b - 29)*(b - 4)/5
Factor 5*o**5 + 875*o**4 + 39575*o**3 + 113525*o**2 + 111800*o + 36980.
5*(o + 1)**3*(o + 86)**2
Factor 2*q**2/9 - 80*q/9 - 50.
2*(q - 45)*(q + 5)/9
Factor y**2 - 57*y - 58.
(y - 58)*(y + 1)
Factor 5*a**4 + 20*a**3 - 345*a**2 + 520*a + 880.
5*(a - 4)**2*(a + 1)*(a + 11)
Suppose 6*v**2 - 652*v + 53138/3 = 0. What is v?
163/3
Suppose 6*d**3 - 1333*d**2 + 74148*d - 12321 = 0. What is d?
1/6, 111
Find h, given that -h**4/3 - 6*h**3 - 73*h**2/3 - 36*h - 52/3 = 0.
-13, -2, -1
Factor -7*v**2 - 71*v + 170.
-(v - 2)*(7*v + 85)
Solve 2*z**3 - 22*z**2 + 64*z - 56 = 0.
2, 7
Factor -2*j**2 - 38*j + 40.
-2*(j - 1)*(j + 20)
What is g in g**5/2 + 3*g**4/2 + 3*g**3/2 + g**2/2 = 0?
-1, 0
Factor k**4/12 - 5*k**3/3 - 11*k**2/3.
k**2*(k - 22)*(k + 2)/12
Let -4*t**5/7 - 12*t**4/7 - 12*t**3/7 - 4*t**2/7 = 0. Calculate t.
-1, 0
Determine v, given that 2*v**2/9 + 458*v/9 + 152/3 = 0.
-228, -1
Factor -3*i**3/2 - 393*i**2 - 24522*i + 161604.
-3*(i - 6)*(i + 134)**2/2
Determine i so that 4*i**2 + 2040*i + 260100 = 0.
-255
Factor -7*p**4/3 + 2*p**3/3 + 28*p**2/3 - 8*p/3.
-p*(p - 2)*(p + 2)*(7*p - 2)/3
Factor -4*t**3 - 156*t**2 - 956*t + 1116.
-4*(t - 1)*(t + 9)*(t + 31)
Factor z**4/2 + 3*z**3/2 - 113*z**2/2 + 213*z/2 - 52.
(z - 8)*(z - 1)**2*(z + 13)/2
Factor 14*v**3 + 46*v**2/3 + 4*v/3.
2*v*(v + 1)*(21*v + 2)/3
Suppose -5*z**3 - 35*z**2 + 90*z = 0. Calculate z.
-9, 0, 2
Factor -6*u**4/7 - 92*u**3/7 - 16*u**2.
-2*u**2*(u + 14)*(3*u + 4)/7
Let 2*x**5 - 2*x**3 = 0. What is x?
-1, 0, 1
Determine p, given that -p**5 - 559*p**4 - 77839*p**3 + 78959*p**2 + 77840*p - 78400 = 0.
-280, -1, 1
Find m, given that 3*m**2/5 - 354*m/5 - 357/5 = 0.
-1, 119
Suppose 3*m**2 - 2661*m/5 - 1602/5 = 0. What is m?
-3/5, 178
Suppose -y**3/7 + 16*y**2/7 - 65*y/7 + 50/7 = 0. What is y?
1, 5, 10
Solve -4*z**2/7 - 1068*z/7 + 1072/7 = 0.
-268, 1
Let -21*s**4/2 - 321*s**3/2 - 171*s**2 + 258*s + 84 = 0. What is s?
-14, -2, -2/7, 1
Factor i**4 - 17*i**3 + 101*i**2 - 235*i + 150.
(i - 6)*(i - 5)**2*(i - 1)
Solve 2*z**5 - 512*z**4 + 32250*z**3 + 66564*z**2 = 0.
-2, 0, 129
Find r, given that 16*r**4 + 340*r**3 + 2004*r**2 + 3808*r + 832 = 0.
-13, -4, -1/4
Factor n**2/4 - 329*n/2 + 108241/4.
(n - 329)**2/4
Find p, given that -p**4/4 + 27*p**3 - 99*p**2/4 - 217*p + 321 = 0.
-3, 2, 107
Find s such that 18*s**3/7 + 268*s**2/7 - 30*s/7 = 0.
-15, 0, 1/9
Suppose f**4 - 74*f**3 + 1620*f**2 - 4374*f - 137781 = 0. What is f?
-7, 27
Find j, given that 3*j**2 - 261*j - 264 = 0.
-1, 88
Factor -c**2/4 + 221*c/4 + 111/2.
-(c - 222)*(c + 1)/4
Suppose 2*f**3/15 - 40*f**2 + 4000*f - 400000/3 = 0. Calculate f.
100
Factor 10*r**4 + 135*r**3 + 580*r**2 + 675*r - 500.
5*(r + 4)*(r + 5)**2*(2*r - 1)
Let g**3 + 11*g**2 - 168*g - 1872 = 0. What is g?
-12, 13
Factor 4*u**2 + 128*u + 988.
4*(u + 13)*(u + 19)
Factor -2*r**2/9 + 20*r/3.
-2*r*(r - 30)/9
Factor -a**3/11 + 32*a**2/11 - 27*a + 810/11.
-(a - 18)*(a - 9)*(a - 5)/11
Let 4*m**4 - 740*m**3 + 1464*m**2 = 0. Calculate m.
0, 2, 183
What is z in 21*z**5 - 447*z**4 + 126*z**3 = 0?
0, 2/7, 21
Factor x**4 + 25*x**3 - 82*x**2 + 56*x.
x*(x - 2)*(x - 1)*(x + 28)
Factor -x**2 - 9*x + 22.
-(x - 2)*(x + 11)
Find y such that -2*y**2 - 12*y = 0.
-6, 0
Let -3*p**5 - 15*p**4 - 9*p**3 + 51*p**2 + 84*p + 36 = 0. What is p?
-3, -2, -1, 2
Solve -3*h**2/4 - 135*h/4 - 525/2 = 0.
-35, -10
Factor -o**5/5 - 7*o**4 - 211*o**3/5 - 433*o**2/5 - 368*o/5