*2/7 + 94*z/7 - 12/7 = 0. What is z?
-6, 1/4
Solve 2*a**4/13 - 42*a**3/13 - 190*a**2/13 - 246*a/13 - 100/13 = 0.
-2, -1, 25
Suppose 2*n**2/9 + 100*n/9 = 0. What is n?
-50, 0
Determine c so that -c**3/3 + 43*c**2/3 + 880*c/3 + 3776/3 = 0.
-8, 59
Factor d**4/4 + 45*d**3 + 8277*d**2/4 + 7921*d/2.
d*(d + 2)*(d + 89)**2/4
Suppose 4*a**2 - 48*a + 144 = 0. What is a?
6
Factor -o**4 + 15*o**3 - 12*o**2 - 28*o.
-o*(o - 14)*(o - 2)*(o + 1)
Factor -2*q**4/5 + 7314*q**3/5 - 8915766*q**2/5 + 3622772918*q/5.
-2*q*(q - 1219)**3/5
Factor -6*v**3/5 + 864*v/5.
-6*v*(v - 12)*(v + 12)/5
Determine v, given that -4*v**4 - 204*v**3 + 3136*v**2 - 12144*v + 9216 = 0.
-64, 1, 6
Factor -2*z**3 - 36*z**2 - 66*z - 32.
-2*(z + 1)**2*(z + 16)
Let 2*w**5 - 56*w**4 + 512*w**3 - 1024*w**2 - 8192*w + 32768 = 0. Calculate w.
-4, 8
Find f, given that 3*f**3/2 - 116*f**2 - 318*f - 160 = 0.
-2, -2/3, 80
Factor k**4/4 - 3*k**3/2 - 56*k**2 - 213*k/2 - 209/4.
(k - 19)*(k + 1)**2*(k + 11)/4
Determine i, given that 2*i**4/13 - 42*i**3/13 + 6*i**2 - 38*i/13 = 0.
0, 1, 19
Factor -u**2/2 + 267*u/2 + 134.
-(u - 268)*(u + 1)/2
Solve -p**4 + 330*p**3 - 27553*p**2 + 54120*p - 26896 = 0.
1, 164
Find o such that -o**3/2 + 45*o**2 - 966*o - 2116 = 0.
-2, 46
Factor 5*x**2 + 70*x + 245.
5*(x + 7)**2
Determine c, given that -2*c**3 + 6*c**2 + 36*c - 80 = 0.
-4, 2, 5
Determine u so that -10*u**2/3 - 5448*u - 6536/3 = 0.
-1634, -2/5
Solve -i**2 - 27*i - 26 = 0 for i.
-26, -1
Solve -2*n**4/3 + 34*n**3/3 - 172*n**2/3 + 344*n/3 - 80 = 0 for n.
2, 3, 10
Determine d so that 2*d**2 - 308*d + 11858 = 0.
77
Suppose -18*z**4 + 561*z**3 - 603*z**2 - 804*z - 180 = 0. Calculate z.
-1/2, -1/3, 2, 30
Solve 2*l**4/11 - 34*l**3/11 + 156*l**2/11 - 280*l/11 + 16 = 0.
2, 11
Solve 5*n**4 - 50*n**3 + 100*n**2 + 50*n - 105 = 0 for n.
-1, 1, 3, 7
Determine r so that -r**4 + 53*r**3/4 + 51*r**2/4 - 32*r + 7 = 0.
-2, 1/4, 1, 14
Factor -2*s**3 - 22*s**2 + 52*s.
-2*s*(s - 2)*(s + 13)
Solve k**3 + 9*k**2 + 11*k - 21 = 0 for k.
-7, -3, 1
Factor -4*h**4 + 320*h**3 - 7008*h**2 + 24320*h - 23104.
-4*(h - 38)**2*(h - 2)**2
Factor 2*x**5/5 + 6*x**4/5 - 12*x**3/5 - 56*x**2/5 - 48*x/5.
2*x*(x - 3)*(x + 2)**3/5
Factor -2*f**3 - 565*f**2 - 1402*f - 560.
-(f + 2)*(f + 280)*(2*f + 1)
Factor -5*w**3 - 5*w**2 + 105*w + 225.
-5*(w - 5)*(w + 3)**2
Factor -b**2/3 - b + 304/3.
-(b - 16)*(b + 19)/3
Solve -j**5/3 + 2*j**4/3 + 12*j**3 - 104*j**2/3 - 128*j/3 + 128 = 0 for j.
-6, -2, 2, 4
Factor h**3 - 1314*h**2.
h**2*(h - 1314)
Find m, given that 15*m**4/2 + 429*m**3/2 - 87*m**2 = 0.
-29, 0, 2/5
Factor 2*s**3/7 + 26*s**2/7 - 536*s/7 + 1600/7.
2*(s - 8)*(s - 4)*(s + 25)/7
What is q in 5*q**4 - 7235*q**3 + 2620865*q**2 - 2599185*q - 5227290 = 0?
-1, 2, 723
Factor -25*z**2 + 1660*z - 660.
-5*(z - 66)*(5*z - 2)
Suppose x**3/5 + 47*x**2/5 = 0. What is x?
-47, 0
Factor 4*y**4/3 - 64*y**3/3 + 260*y**2/3 - 200*y/3.
4*y*(y - 10)*(y - 5)*(y - 1)/3
Factor -5*n**5 - 320*n**4 - 620*n**3.
-5*n**3*(n + 2)*(n + 62)
Find f such that -28*f**4 - 316*f**3 - 816*f**2 - 656*f - 128 = 0.
-8, -2, -1, -2/7
Factor 4*f**3/5 - 76*f**2/5 - 88*f/5 + 32.
4*(f - 20)*(f - 1)*(f + 2)/5
Factor 5*a**3 + 510*a**2 + 13500*a + 25000.
5*(a + 2)*(a + 50)**2
Let q**5 - 20*q**4 + 76*q**3 + 262*q**2 - 77*q - 242 = 0. What is q?
-2, -1, 1, 11
Factor -2*o**2 + 892*o - 99458.
-2*(o - 223)**2
Solve -6*i**5/5 + 56*i**4/5 - 62*i**3/5 - 4*i**2 + 32*i/5 = 0.
-2/3, 0, 1, 8
What is g in -3*g**5/7 + 9*g**4/7 - 12*g**2/7 = 0?
-1, 0, 2
Factor -96*s**3/5 + 37008*s**2/5 - 11070*s + 20736/5.
-6*(s - 384)*(4*s - 3)**2/5
Solve 3*r**2/2 + 11607*r/4 - 5805/4 = 0.
-1935, 1/2
Suppose z**5 + 8*z**4 - 74*z**3 - 360*z**2 + 2025*z = 0. Calculate z.
-9, 0, 5
Factor 2*x**4/3 + 2*x**3 - 4*x**2/3 - 8*x - 16/3.
2*(x - 2)*(x + 1)*(x + 2)**2/3
Factor 2*t**3/11 + 2490*t**2/11 + 1033350*t/11 + 142946750/11.
2*(t + 415)**3/11
Let 28*t**3/13 + 446*t**2/13 + 1312*t/13 - 96/13 = 0. Calculate t.
-12, -4, 1/14
Suppose -2*n**5 + 114*n**3 - 400*n**2 + 288*n = 0. Calculate n.
-9, 0, 1, 4
Factor -a**5 - 22*a**4 + 48*a**3 - 2*a**2 - 47*a + 24.
-(a - 1)**3*(a + 1)*(a + 24)
Determine r so that r**3/2 + 33*r**2/2 - 98*r - 114 = 0.
-38, -1, 6
Factor 2*k**2/3 - 11336*k/3 + 3778.
2*(k - 5667)*(k - 1)/3
Factor -3*p**3 - 9*p**2 + 30*p.
-3*p*(p - 2)*(p + 5)
Suppose -16*l**5/5 - 292*l**4/5 + 248*l**3/5 + 368*l**2/5 - 232*l/5 - 76/5 = 0. Calculate l.
-19, -1, -1/4, 1
Factor -2*k**2 - 558*k.
-2*k*(k + 279)
Let f**2/3 - 4*f + 12 = 0. What is f?
6
Solve 4*w**5 + 16*w**4 - 440*w**3 + 400*w**2 + 436*w - 416 = 0 for w.
-13, -1, 1, 8
Suppose -9*d**5 - 696*d**4 + 471*d**3 + 234*d**2 = 0. Calculate d.
-78, -1/3, 0, 1
Solve -5*g**2 - 135*g - 550 = 0.
-22, -5
Factor -21*s**3 + 237*s**2 - 66*s.
-3*s*(s - 11)*(7*s - 2)
Determine g so that 2*g**3 + 2*g**2 - 2*g - 2 = 0.
-1, 1
Factor -a**3 + a**2 + 24*a + 36.
-(a - 6)*(a + 2)*(a + 3)
What is w in -4*w**2/3 + 8*w/3 = 0?
0, 2
Find y, given that 6*y**2 - 25485*y/2 - 3186 = 0.
-1/4, 2124
Let -w**3/3 - 4*w**2/3 + 25*w/3 + 28/3 = 0. Calculate w.
-7, -1, 4
Solve 45*n**4 + 730*n**3 + 160*n**2 = 0.
-16, -2/9, 0
What is q in 3*q**5 + 171*q**4 - 537*q**3 + 189*q**2 + 534*q - 360 = 0?
-60, -1, 1, 2
Determine s so that 48*s**5 + 285*s**4 + 660*s**3 + 750*s**2 + 420*s + 93 = 0.
-31/16, -1
Factor -b**2/9 + 22*b/9 + 25/3.
-(b - 25)*(b + 3)/9
Factor 5*o**2 + 370*o.
5*o*(o + 74)
Suppose a**5/9 - a**4/3 - a**3/9 + a**2/3 = 0. What is a?
-1, 0, 1, 3
Factor 2*o**2/15 - 4*o/5.
2*o*(o - 6)/15
Suppose -5*j**4 + 550*j**3 - 15665*j**2 + 29700*j - 14580 = 0. Calculate j.
1, 54
Factor -4*q**2 + 36*q - 80.
-4*(q - 5)*(q - 4)
Factor -3*a**2/4 - 69*a/4 - 63/2.
-3*(a + 2)*(a + 21)/4
What is o in o**5/5 - 6*o**4/5 + 4*o**3/5 + 6*o**2/5 - o = 0?
-1, 0, 1, 5
Let 2*j**4/11 + 14*j**3/11 + 26*j**2/11 - 6*j/11 - 36/11 = 0. What is j?
-3, -2, 1
Factor 4*m**2 + 1144*m + 4512.
4*(m + 4)*(m + 282)
Suppose -5*v**3 - 75*v**2/4 + 30*v - 25/4 = 0. What is v?
-5, 1/4, 1
Factor b**4/3 - 22*b**3/3 + 44*b**2 - 202*b/3 + 91/3.
(b - 13)*(b - 7)*(b - 1)**2/3
Factor -4*v**2 + 36*v - 32.
-4*(v - 8)*(v - 1)
Factor h**5/5 - 7*h**4/5 + 19*h**3/5 - 5*h**2 + 16*h/5 - 4/5.
(h - 2)**2*(h - 1)**3/5
Find c such that -c**2 - 176*c = 0.
-176, 0
Suppose -4*l**2 - 48*l + 756 = 0. What is l?
-21, 9
Suppose 245*r**4 + 9450*r**3 + 5340*r**2 + 760*r = 0. What is r?
-38, -2/7, 0
Determine z so that 8*z**4 - 38*z**3 + 54*z**2 - 16*z - 8 = 0.
-1/4, 1, 2
Solve -y**3 - 6*y**2 - 12*y - 8 = 0 for y.
-2
Let -2*q**2 - 54*q - 144 = 0. What is q?
-24, -3
Find i such that -i**3 + 4*i**2 + i - 4 = 0.
-1, 1, 4
Factor 5*y**3 - 24*y**2 + 25*y + 6.
(y - 3)*(y - 2)*(5*y + 1)
Suppose 3*r**3/5 + 18*r**2/5 + 24*r/5 = 0. What is r?
-4, -2, 0
Factor 2*y**4/3 + 4*y**3/3 + 2*y**2/3.
2*y**2*(y + 1)**2/3
Determine t so that -10*t**3/7 + 2864*t**2/7 + 1726*t/7 - 164 = 0.
-1, 2/5, 287
Find o, given that 261*o**5 + 777*o**4 - 1584*o**3 - 7272*o**2 - 6096*o + 144 = 0.
-2, 2/87, 3
Determine r so that -r**3 - 31*r**2 - 224*r + 256 = 0.
-16, 1
Find r such that 2*r**5 - 16*r**4 + 16*r**3 + 52*r**2 - 18*r - 36 = 0.
-1, 1, 3, 6
What is j in -j**3 - 16*j**2 + 35*j - 18 = 0?
-18, 1
Factor 15*d**3 - 309*d**2 + 1494*d + 648.
3*(d - 12)*(d - 9)*(5*d + 2)
Factor 2*g**2/3 + 494*g/3 - 2992.
2*(g - 17)*(g + 264)/3
Factor -2*r**2/11 - 28*r/11 - 80/11.
-2*(r + 4)*(r + 10)/11
Solve -3*u**5 + 30*u**4 + 162*u**3 + 96*u**2 - 159*u - 126 = 0.
-3, -1, 1, 14
Suppose 46*h**2/15 - 4*h/15 = 0. What is h?
0, 2/23
What is i in -4*i**5 - 84*i**4 - 148*i**3 + 84*i**2 + 152*i = 0?
-19, -2, -1, 0, 1
Factor s**3 + 659*s**2 - 1984*s + 1324.
(s - 2)*(s - 1)*(s + 662)
Factor t**2/7 - 6*t - 1003/7.
(t - 59)*(t + 17)/7
Factor -5*m**3 - 240*m**2 + 255*m + 490.
-5*(m - 2)*(m + 1)*(m + 49)
Suppose -l**5/7 - 34*l**4/7 - 144*l**3/7 + 34*l**2/7 + 145*l/7 = 0. What is l?
-29, -5, -1, 0, 1
Factor 4*s**2 + 2832*s - 2836.
4*(s - 1)*(s + 709)
Factor 3*k**5/8 - 9*k**3/8 + 3*k**2/4.
3*k**2*(k - 1)**2*(k + 2)/8
Factor -3*f**4/5 + 3*f**3 - 24*f**2/5 + 12*f/5.
-3*f*(f - 2)**2*(f - 1)/5
Find r, given that r**3/8 - 6*r**2 + 89*r/8 + 69/4 = 0.
-1, 3, 46
Factor 2*u**2/15 - 112*u/15 - 38/5.
2*(u - 57)*(u + 1)/15
Factor -2*n**2 - 1666*n - 1664.
-2*(n + 1)*(n + 832)
Factor 10*y**2/17 + 114*y/17 + 216/17.
2*(y + 9)*(5*y + 12)/17
Factor 4*p**3/3 + 136*p**2/3 - 284*p/3 + 48.