 3/5
Let -3*q**4/4 - 93*q**3/4 + 105*q**2/2 + 93*q - 198 = 0. Calculate q.
-33, -2, 2
Factor 496*x**2 - 990*x - 4.
2*(x - 2)*(248*x + 1)
Let -2*s**4/13 + 344*s**3/13 - 340*s**2/13 - 344*s/13 + 342/13 = 0. What is s?
-1, 1, 171
Find w, given that w**5 - 8*w**4 + 18*w**3 - 16*w**2 + 5*w = 0.
0, 1, 5
What is d in -3*d**3/5 - 228*d**2/5 - 45*d = 0?
-75, -1, 0
Factor -5*t**3 - 1335*t**2 - 88440*t + 89780.
-5*(t - 1)*(t + 134)**2
Factor 2*j**5/15 + 6*j**4/5 - 22*j**3/5 + 14*j**2/3 - 8*j/5.
2*j*(j - 1)**3*(j + 12)/15
Factor w**3/4 + 3*w**2/4 + w/2.
w*(w + 1)*(w + 2)/4
Factor -3*l**5 - 48*l**4 - 219*l**3 - 54*l**2 + 972*l - 648.
-3*(l - 1)**2*(l + 6)**3
Find w such that w**2/2 - 19*w/2 - 21 = 0.
-2, 21
Factor 4*m**2 + 24*m.
4*m*(m + 6)
Factor 2*i**5/13 - 40*i**4/13 + 38*i**3/13.
2*i**3*(i - 19)*(i - 1)/13
Factor -r**3/3 - 37*r**2 + 226*r/3.
-r*(r - 2)*(r + 113)/3
Factor 3*k**2 + 318*k + 624.
3*(k + 2)*(k + 104)
Factor -2*g**3/5 - 12*g**2 - 114*g/5 - 56/5.
-2*(g + 1)**2*(g + 28)/5
Find m such that 4*m**4/7 + 44*m**3/7 - 396*m**2/7 + 244*m/7 + 680/7 = 0.
-17, -1, 2, 5
Factor 10*u**2/9 + 28*u/3 + 16.
2*(u + 6)*(5*u + 12)/9
Find t such that -2*t**3 + 44*t**2 + 208*t = 0.
-4, 0, 26
Factor -2*g**3/3 + 4*g**2 + 38*g/3 - 16.
-2*(g - 8)*(g - 1)*(g + 3)/3
Factor u**3/8 - 727*u**2/8 + 16471*u + 16562.
(u - 364)**2*(u + 1)/8
Factor -4*z**3 + 11824*z**2 + 23660*z + 11832.
-4*(z - 2958)*(z + 1)**2
Solve 2*h**2 - 100*h + 1250 = 0.
25
Factor -2*z**2 - 9200*z - 10580000.
-2*(z + 2300)**2
Let -b**2 - 305*b - 906 = 0. Calculate b.
-302, -3
What is i in 26*i**4/9 + 68*i**3/3 + 50*i**2/3 - 28*i/9 = 0?
-7, -1, 0, 2/13
Factor -a**5 - 2*a**4 + 5*a**3 + 6*a**2.
-a**2*(a - 2)*(a + 1)*(a + 3)
Determine c, given that 2*c**2 - 748*c + 69938 = 0.
187
What is r in r**2 + 120*r + 3600 = 0?
-60
Factor -2*a**3/19 - 24*a**2/19 - 64*a/19.
-2*a*(a + 4)*(a + 8)/19
Factor 2*b**3/5 + 26*b**2/5 - 16*b - 280.
2*(b - 7)*(b + 10)**2/5
Factor 25*v**4/4 + 45*v**3/2 - 639*v**2/4 - 324*v + 1296.
(v - 3)**2*(5*v + 24)**2/4
Factor r**4 + 147*r**3 + 146*r**2.
r**2*(r + 1)*(r + 146)
Determine w so that w**3/3 + 62*w**2/3 + 340*w + 600 = 0.
-30, -2
Solve -3*q**2 + 24*q - 36 = 0 for q.
2, 6
Factor 2*k**2 - 98*k - 100.
2*(k - 50)*(k + 1)
Factor 3*z**2 + 2376*z + 470448.
3*(z + 396)**2
Factor 2*j**3/9 + 14*j**2/9 - 322*j/9 + 34.
2*(j - 9)*(j - 1)*(j + 17)/9
Determine z, given that 5*z**2 - 3130*z + 489845 = 0.
313
Suppose -12*i**5 + 52*i**4 - 52*i**3 + 12*i**2 = 0. Calculate i.
0, 1/3, 1, 3
Let -2*k**2 + 42*k/5 = 0. What is k?
0, 21/5
Factor 2*j**2 + 8*j + 8.
2*(j + 2)**2
Solve 4*z**5 + 20*z**4 + 28*z**3 - 4*z**2 - 32*z - 16 = 0 for z.
-2, -1, 1
Suppose -108*v**4 - 66*v**3 - 40*v**2/3 - 8*v/9 = 0. What is v?
-2/9, -1/6, 0
Determine w so that w**3 - 7*w**2 + 4*w + 12 = 0.
-1, 2, 6
Suppose -n**4/5 - 36*n**3 - 8278*n**2/5 - 3204*n - 7921/5 = 0. Calculate n.
-89, -1
Factor 3*z**2/5 - 216*z/5 + 213/5.
3*(z - 71)*(z - 1)/5
Determine r, given that -8*r**5/3 + 20*r**4/9 + 8*r**3/9 - 4*r**2/9 = 0.
-1/2, 0, 1/3, 1
Determine z so that 8*z**3/3 + 118*z**2/3 + 82*z/3 - 28/3 = 0.
-14, -1, 1/4
Factor -5*n**2 + 560*n + 1725.
-5*(n - 115)*(n + 3)
Factor -2*f**4 - 12*f**3 - 8*f**2 + 12*f + 10.
-2*(f - 1)*(f + 1)**2*(f + 5)
Determine k so that -4*k**2 + 985*k - 246 = 0.
1/4, 246
What is o in o**2/4 + 45*o/2 + 2025/4 = 0?
-45
Suppose 10*t**4 - 36*t**3 - 16*t**2 = 0. Calculate t.
-2/5, 0, 4
What is h in 4*h**4 + 8*h**3 - 36*h**2 - 8*h + 32 = 0?
-4, -1, 1, 2
Factor 6*d**3 + 81*d**2 + 102*d - 72.
3*(d + 2)*(d + 12)*(2*d - 1)
Solve -2*y**4/7 + 160*y**3/7 - 4608*y**2/7 + 8192*y - 262144/7 = 0 for y.
16, 32
Factor 5*q**4 - 2955*q**3.
5*q**3*(q - 591)
Suppose 3*u**4 - 21*u**3 - 1710*u**2 - 11232*u + 12960 = 0. What is u?
-12, 1, 30
What is a in -2*a**4/7 + 10*a**3/7 + 48*a**2/7 + 8*a/7 - 64/7 = 0?
-2, 1, 8
Suppose -45*a**5 - 1173*a**4 + 8338*a**3 - 6620*a**2 - 856*a + 1280 = 0. Calculate a.
-32, -2/5, 2/3, 5
Solve -81*v**3 - 90*v**2 + 308*v + 392 = 0.
-14/9, 2
Suppose z**5/3 - 5*z**4/3 - 50*z**3/3 = 0. What is z?
-5, 0, 10
Factor -2*i**2/5 - 118*i/5 - 116/5.
-2*(i + 1)*(i + 58)/5
Solve 4*g**5/3 - 148*g**4/9 + 388*g**3/9 - 236*g**2/9 - 160*g/9 + 16 = 0 for g.
-2/3, 1, 2, 9
Factor -3*d**4 + 18*d**3 + 36*d**2 - 168*d - 288.
-3*(d - 6)*(d - 4)*(d + 2)**2
Let -3*j**4/7 - 9*j**3/7 - 6*j**2/7 = 0. What is j?
-2, -1, 0
Suppose -j**4/2 - 91*j**3/2 = 0. What is j?
-91, 0
Suppose u**5/7 - 5*u**3/7 + 4*u/7 = 0. Calculate u.
-2, -1, 0, 1, 2
Find w, given that -5*w**4/6 - 19*w**3/2 - 56*w**2/3 - 6*w = 0.
-9, -2, -2/5, 0
Factor -7*j**2/5 - 4*j/5 + 4.
-(j + 2)*(7*j - 10)/5
Factor 2*m**4 - 84*m**3 + 506*m**2 - 528*m - 1120.
2*(m - 35)*(m - 4)**2*(m + 1)
Suppose -12*s**4 + 45*s**3 - 63*s**2 + 39*s - 9 = 0. Calculate s.
3/4, 1
Let 98*h**4/5 + 756*h**3/5 + 506*h**2/5 - 3672*h/5 + 2312/5 = 0. What is h?
-34/7, 1
Factor 3*z**4/2 - 3*z**3/2 - 15*z**2/2 - 9*z/2.
3*z*(z - 3)*(z + 1)**2/2
Factor 4*z**4 - 44*z**3 + 144*z**2 - 144*z.
4*z*(z - 6)*(z - 3)*(z - 2)
Factor u**3 + 4*u**2 - 29*u + 24.
(u - 3)*(u - 1)*(u + 8)
Factor x**3/5 + 74*x**2/5 - 152*x/5.
x*(x - 2)*(x + 76)/5
Determine m, given that -21*m**5 - 8154*m**4 - 10371*m**3 + 30294*m**2 + 41820*m + 9288 = 0.
-387, -2, -1, -2/7, 2
Factor -4*m**3 - 128*m**2.
-4*m**2*(m + 32)
Factor -3*b**2 - 492*b - 20172.
-3*(b + 82)**2
Determine i so that 35*i**5 + 265*i**4 - 50*i**3 - 2830*i**2 - 1425*i + 1125 = 0.
-5, -1, 3/7, 3
Let 532*m**2 + 492*m - 40 = 0. Calculate m.
-1, 10/133
Solve -4*o**2 - 60*o - 104 = 0.
-13, -2
Factor -25*w**4 + 310*w**3 - 120*w**2.
-5*w**2*(w - 12)*(5*w - 2)
Factor -n**3/7 + 4*n**2 - 176*n/7 + 320/7.
-(n - 20)*(n - 4)**2/7
Suppose f**4/5 + 11*f**3/5 + 32*f**2/5 + 28*f/5 = 0. Calculate f.
-7, -2, 0
Suppose 5*p**2 + 10*p - 40 = 0. What is p?
-4, 2
Factor 4*i**5 + 16*i**4 - 44*i**3 + 24*i**2.
4*i**2*(i - 1)**2*(i + 6)
Factor f**4 + 33*f**3 - 2301*f**2 + 34307*f - 158184.
(f - 13)**3*(f + 72)
Solve 3*k**5 - 27*k**4 - 27*k**3 + 567*k**2 - 2916 = 0.
-3, 3, 6
Suppose -2*q**5/5 - 18*q**4/5 + 236*q**3/5 - 116*q**2 + 534*q/5 - 34 = 0. Calculate q.
-17, 1, 5
Factor -49*f**4 + 224*f**3 - 382*f**2 + 288*f - 81.
-(f - 1)**2*(7*f - 9)**2
Let 192*i**3 - 912*i**2 + 603*i - 108 = 0. Calculate i.
3/8, 4
Suppose -362*q**2 + 388*q - 26 = 0. What is q?
13/181, 1
Factor 2*q**2 + 544*q + 36992.
2*(q + 136)**2
Let -f**4/6 - f**3/6 + f**2/6 + f/6 = 0. What is f?
-1, 0, 1
Factor -b**3 + 18*b**2 + 115*b.
-b*(b - 23)*(b + 5)
Factor 2*i**3 + 32*i**2 + 58*i + 28.
2*(i + 1)**2*(i + 14)
Suppose 2403*p**5 + 2409*p**4 - 4800*p**3 - 12*p**2 = 0. What is p?
-2, -2/801, 0, 1
Find t, given that -2*t**4/7 - 6*t**3/7 + 30*t**2/7 - 34*t/7 + 12/7 = 0.
-6, 1
Factor 3*l**2 - 147*l + 414.
3*(l - 46)*(l - 3)
Suppose 7*c**4 + 800*c**3 + 23748*c**2 + 50624*c + 12544 = 0. Calculate c.
-56, -2, -2/7
Determine s, given that 3*s**3/2 + 33*s**2/2 + 69*s/2 - 105/2 = 0.
-7, -5, 1
Factor r**4/4 - 17*r**3/4 - r**2/4 + 17*r/4.
r*(r - 17)*(r - 1)*(r + 1)/4
Let -3*g**5/4 + 57*g**4/4 - 51*g**3/2 = 0. Calculate g.
0, 2, 17
Factor -k**2/6 - 13*k/6 + 19.
-(k - 6)*(k + 19)/6
Suppose 4*b**5 - 52*b**4 + 232*b**3 - 424*b**2 + 340*b - 100 = 0. Calculate b.
1, 5
Factor x**2/7 - 128*x/7 + 4096/7.
(x - 64)**2/7
Suppose -4*m**3 - 284*m**2 - 540*m + 828 = 0. What is m?
-69, -3, 1
Find x such that 2*x**4 + 373*x**3 + 2003*x**2 + 2163*x - 1629 = 0.
-181, -3, 1/2
Factor -4*q**3/5 + 576*q**2 - 8612*q/5 + 5736/5.
-4*(q - 717)*(q - 2)*(q - 1)/5
Find p, given that 3*p**4 - 81*p**3 + 654*p**2 - 1440*p + 864 = 0.
1, 2, 12
Determine g so that 75*g**4/2 - 235*g**3/2 + 255*g**2/2 - 105*g/2 + 5 = 0.
2/15, 1
Factor -5*f**2/6 - 475*f/2 + 715/3.
-5*(f - 1)*(f + 286)/6
Factor 2*h**4 + 132*h**3 + 384*h**2 + 380*h + 126.
2*(h + 1)**3*(h + 63)
Factor t**3 - 313*t**2.
t**2*(t - 313)
Determine p, given that 3*p**2/7 - 318*p/7 + 8427/7 = 0.
53
Suppose -25*j**4/4 - 3405*j**3/4 - 166*j**2 + 543*j - 136 = 0. What is j?
-136, -1, 2/5
Factor -3*b**2 + 8226*b - 5638923.
-3*(b - 1371)**2
Factor 4*t**3 - 12*t**2 - 36*t + 108.
4*(t - 3)**2*(t + 3)
Factor -4*x**2 + 96*x.
-4*x*(x - 24)
Let -24*o**3 + 292*o**2 - 48*o = 0. What is o?
0, 1/6, 12
Find x such that -2*x**2/15 - 2*x/15 + 4/15 = 0.
-2, 1
Suppose -4*o**3 - 124*o**2 + 424*o + 544 = 0. Calculate o.
-34, -1, 4
Factor r**2/6 + r + 4/3.
