*(y + 2)*(y + 9)
Determine x so that -2*x**4 - 18*x**3 - 8*x**2 + 72*x + 64 = 0.
-8, -2, -1, 2
Factor 9*m**3 + 8*m**2 - m.
m*(m + 1)*(9*m - 1)
Let z**2/4 - 3*z/4 - 5/2 = 0. What is z?
-2, 5
Determine r, given that -28*r**5/5 + 2864*r**4/5 - 6444*r**3/5 + 4408*r**2/5 - 160*r = 0.
0, 2/7, 1, 100
What is m in -2*m**5/9 + 128*m**4/9 + 4*m**3/9 - 256*m**2/9 - 2*m/9 + 128/9 = 0?
-1, 1, 64
Factor -10*t**3/3 + 74*t**2/3 - 88*t/3 + 8.
-2*(t - 6)*(t - 1)*(5*t - 2)/3
Suppose j**2 + 103*j = 0. What is j?
-103, 0
Solve 3*t**5 - 75*t**4 + 570*t**3 - 1290*t**2 + 1155*t - 363 = 0 for t.
1, 11
Factor -9*i**3 - 6*i**2 + 9*i + 6.
-3*(i - 1)*(i + 1)*(3*i + 2)
Factor h**4 - 14*h**3 + 57*h**2 - 76*h + 32.
(h - 8)*(h - 4)*(h - 1)**2
Factor q**5/4 + 5*q**4/2 + 8*q**3 + 8*q**2.
q**2*(q + 2)*(q + 4)**2/4
Suppose -24*m**3 + 147*m**2 + 150*m - 21 = 0. What is m?
-1, 1/8, 7
Factor 21*o**3 - 5118*o**2 + 311100*o + 89304.
3*(o - 122)**2*(7*o + 2)
Factor -4*b**4 + 4*b**3 + 24*b**2 - 16*b - 32.
-4*(b - 2)**2*(b + 1)*(b + 2)
Let g**2/2 - 2888*g - 5777/2 = 0. Calculate g.
-1, 5777
Suppose -3*o**3 + 60*o**2 - 300*o = 0. What is o?
0, 10
Factor 4*z**4 + 16*z**3 + 16*z**2.
4*z**2*(z + 2)**2
Let g**5/3 - 2*g**4/3 - 34*g**3/3 + 164*g**2/3 - 85*g + 42 = 0. Calculate g.
-7, 1, 2, 3
Let 25*h**4/3 + 565*h**3 + 778*h**2 + 664*h/3 = 0. What is h?
-332/5, -1, -2/5, 0
What is b in -4*b**5 - 32*b**4 - 92*b**3 - 112*b**2 - 48*b = 0?
-3, -2, -1, 0
Find w, given that w**3/3 - 9*w**2 + 56*w + 196/3 = 0.
-1, 14
Factor -2*v**2/9 - 64*v/9 - 512/9.
-2*(v + 16)**2/9
Factor -105*t**2 - 111*t - 6.
-3*(t + 1)*(35*t + 2)
Determine y so that 4*y**5 - 16*y**4 + 4*y**3 + 24*y**2 = 0.
-1, 0, 2, 3
Factor d**5/3 + d**4/3 - d**3 - d**2/3 + 2*d/3.
d*(d - 1)**2*(d + 1)*(d + 2)/3
Let c**3/4 - 7*c/4 + 3/2 = 0. Calculate c.
-3, 1, 2
Factor -3*x**2/4 + 7665*x/4.
-3*x*(x - 2555)/4
Determine k so that 2*k**3/19 - 12*k**2/19 - 18*k/19 + 28/19 = 0.
-2, 1, 7
Let -4*c**4 - 36*c**3 + 480*c**2 - 1088*c = 0. Calculate c.
-17, 0, 4
Let 51*j**4 - 6*j**3 - 357*j**2 + 348*j - 36 = 0. What is j?
-3, 2/17, 1, 2
Let 5*q**3 - 1285*q**2 + 83200*q - 81920 = 0. Calculate q.
1, 128
Determine t, given that -4*t**5 - 1108*t**4 + 2228*t**3 - 1116*t**2 = 0.
-279, 0, 1
Factor -2*a**3/9 - 16*a**2 + 98*a/3 - 148/9.
-2*(a - 1)**2*(a + 74)/9
Suppose 2*r**4/11 + 10*r**3/11 + 6*r**2/11 - 18*r/11 = 0. Calculate r.
-3, 0, 1
Solve 2*j**5 + 6*j**4 - 50*j**3 - 158*j**2 + 200 = 0.
-5, -2, 1, 5
Suppose 3*x**3/5 - 21*x**2/5 + 42*x/5 - 24/5 = 0. What is x?
1, 2, 4
Factor -j**4/8 + 3*j**3/8 - j**2/4.
-j**2*(j - 2)*(j - 1)/8
Let 5*n**2 + 20*n - 700 = 0. Calculate n.
-14, 10
Determine m, given that -3*m**5 - 78*m**4 - 195*m**3 + 276*m**2 = 0.
-23, -4, 0, 1
Suppose -2*j**4/5 + 2*j**3/5 + 6*j**2/5 - 2*j + 4/5 = 0. What is j?
-2, 1
Find y such that -12*y**5 + 16*y**4 + 80*y**3 = 0.
-2, 0, 10/3
Factor -4*p**4 + 12*p**3 + 72*p**2.
-4*p**2*(p - 6)*(p + 3)
Factor -3*r**3 - 156*r**2 - 2640*r - 14400.
-3*(r + 12)*(r + 20)**2
Factor -42*a**3 + 1474*a**2 - 8372*a + 784.
-2*(a - 28)*(a - 7)*(21*a - 2)
Factor 3*p**3 - 9*p**2 - 3*p + 9.
3*(p - 3)*(p - 1)*(p + 1)
Factor 75*s**2 + 145*s - 10.
5*(s + 2)*(15*s - 1)
Find f, given that -2*f**4/11 + 10*f**3/11 - 8*f**2/11 = 0.
0, 1, 4
Factor -2*f**3 - 94*f**2 + 296*f - 200.
-2*(f - 2)*(f - 1)*(f + 50)
Factor -o**2/4 + 7*o/2 - 33/4.
-(o - 11)*(o - 3)/4
Factor -5*a**4 + 1960*a**3 - 257400*a**2 + 11492000*a - 21970000.
-5*(a - 130)**3*(a - 2)
Factor -2*g**2 + 460*g.
-2*g*(g - 230)
Factor -5*c**4 - 95*c**3 + 320*c**2 - 220*c.
-5*c*(c - 2)*(c - 1)*(c + 22)
Let 3*r**2 + 939*r - 942 = 0. Calculate r.
-314, 1
Factor 2*c**4 + 44*c**3 + 280*c**2 + 400*c.
2*c*(c + 2)*(c + 10)**2
Factor 2*p**3/9 - 1378*p**2/9 + 238048*p/9 - 236672/9.
2*(p - 344)**2*(p - 1)/9
Factor o**3/2 + o**2 - 91*o/8 - 245/8.
(o - 5)*(2*o + 7)**2/8
Find s such that -s**2 + 13614*s - 46335249 = 0.
6807
Factor 4*k**5 + 8*k**4 + 4*k**3.
4*k**3*(k + 1)**2
Factor j**2 + 58*j.
j*(j + 58)
Determine r, given that -2*r**5/3 - 2*r**4 + 22*r**3 + 398*r**2/3 + 256*r + 168 = 0.
-3, -2, 7
Find w such that -w**2/6 - 92*w/3 - 4232/3 = 0.
-92
Suppose -3*v**4 - 6*v**3 + 3*v**2 + 6*v = 0. What is v?
-2, -1, 0, 1
Factor -2*y**2 + 36*y + 80.
-2*(y - 20)*(y + 2)
Factor -6*f**3/7 - 2*f**2/7 + 6*f/7 + 2/7.
-2*(f - 1)*(f + 1)*(3*f + 1)/7
Let 3*m**5 - 36*m**4 + 99*m**3 + 102*m**2 - 252*m - 216 = 0. Calculate m.
-1, 2, 6
Suppose 5*w**5/6 - 115*w**4/3 - 35*w**3/6 + 820*w**2/3 - 230*w = 0. What is w?
-3, 0, 1, 2, 46
Let -133*s**3/11 + 8*s**2 + 43*s/11 + 2/11 = 0. Calculate s.
-2/7, -1/19, 1
Factor 4*p**3 + 236*p**2 + 1996*p + 1764.
4*(p + 1)*(p + 9)*(p + 49)
Suppose -b**5/7 + 2*b**4/7 = 0. What is b?
0, 2
Factor -5*g**2 + 780*g - 30420.
-5*(g - 78)**2
Factor -5*b**3 + 255*b**2 - 3375*b + 3125.
-5*(b - 25)**2*(b - 1)
Let -h**3 - 14*h**2 + 115*h - 100 = 0. Calculate h.
-20, 1, 5
What is i in 3*i**3 - 33*i**2 + 105*i - 75 = 0?
1, 5
Suppose -2*l**4 - 102*l**3 - 614*l**2 + 17670*l - 53816 = 0. What is l?
-31, 4, 7
What is t in -2*t**2 + 330*t - 328 = 0?
1, 164
Factor -2*d**2 + 18*d - 16.
-2*(d - 8)*(d - 1)
What is w in 27*w**5/2 + 495*w**4/2 + 69*w**3 - 222*w**2 - 108*w = 0?
-18, -2/3, 0, 1
Factor 2*c**4/13 + 108*c**3/13 + 120*c**2 + 208*c.
2*c*(c + 2)*(c + 26)**2/13
Determine x so that x**4/7 - 5*x**3/7 - 3*x**2/7 + 13*x/7 + 10/7 = 0.
-1, 2, 5
Factor -w**3/4 - 32*w**2 - 253*w/4 - 63/2.
-(w + 1)**2*(w + 126)/4
Determine l so that 3*l**2/7 + 6*l/7 - 9/7 = 0.
-3, 1
Find l, given that -l**4/6 - l**3 - 3*l**2/2 - 2*l/3 = 0.
-4, -1, 0
Factor 4*n**4 + 28*n**3 - 12*n**2 - 220*n + 200.
4*(n - 2)*(n - 1)*(n + 5)**2
Suppose j**3/7 + 13*j**2/7 + 48*j/7 + 36/7 = 0. Calculate j.
-6, -1
Find l such that -4*l**3 - 20*l**2 - 12*l + 36 = 0.
-3, 1
Find b such that -5*b**4 - 35*b**3 - 55*b**2 - 25*b = 0.
-5, -1, 0
Factor -3*k**2 + 648*k - 34992.
-3*(k - 108)**2
Factor 25*w**4 - 160*w**3 + 360*w**2 - 320*w + 80.
5*(w - 2)**3*(5*w - 2)
Factor -3*p**2/8 - 1077*p/8 + 1629/4.
-3*(p - 3)*(p + 362)/8
Solve -4*y**5/7 + 6*y**4/7 + 2*y**3/7 - 6*y**2/7 + 2*y/7 = 0 for y.
-1, 0, 1/2, 1
Solve -c**3/4 + c**2/4 + c - 1 = 0 for c.
-2, 1, 2
Solve -2*o**5 - 146*o**4 + 450*o**3 - 454*o**2 + 152*o = 0 for o.
-76, 0, 1
Let 20*y**5 + 1904*y**4 + 5960*y**3 + 6656*y**2 + 2948*y + 368 = 0. What is y?
-92, -1, -1/5
Factor -3*d**3 + 4743*d**2 - 4740*d.
-3*d*(d - 1580)*(d - 1)
Suppose -10*l**3 + 3506*l**2 + 7018*l/5 + 702/5 = 0. Calculate l.
-1/5, 351
Let -26*q**2 - 3*q/4 + 1/2 = 0. Calculate q.
-2/13, 1/8
Factor -3*q**2 + 21*q.
-3*q*(q - 7)
Factor 4*j**4/7 + 176*j**3/7 - 108*j**2 + 576*j/7.
4*j*(j - 3)*(j - 1)*(j + 48)/7
Factor 2*c**4 + 136*c**3 + 2024*c**2 - 9792*c + 10368.
2*(c - 2)**2*(c + 36)**2
Factor -4*w**2 + 20*w/3 - 8/3.
-4*(w - 1)*(3*w - 2)/3
Factor 2*o**2 + 3242*o.
2*o*(o + 1621)
Factor -4*l**3 + 452*l**2 - 12064*l - 40368.
-4*(l - 58)**2*(l + 3)
Factor -3*o**2 + 165*o + 168.
-3*(o - 56)*(o + 1)
Factor -3*b**4/5 + 1578*b**3/5 - 6276*b**2/5 + 6264*b/5.
-3*b*(b - 522)*(b - 2)**2/5
Factor -2*r**3 - 18*r**2 + 72*r + 648.
-2*(r - 6)*(r + 6)*(r + 9)
Suppose -o**2 + 155*o = 0. Calculate o.
0, 155
Suppose -7*x**4 + 2*x**3 + 28*x**2 - 8*x = 0. What is x?
-2, 0, 2/7, 2
Factor -3*t**2/4 + 15*t/2 - 63/4.
-3*(t - 7)*(t - 3)/4
Factor -3*f**2/2 - 73*f/6 + 143/3.
-(f + 11)*(9*f - 26)/6
Let -n**3/2 + 4*n**2 + 31*n/2 + 11 = 0. Calculate n.
-2, -1, 11
Determine n so that n**4 - 15*n**3 + 70*n**2 - 120*n + 64 = 0.
1, 2, 4, 8
Factor k**3/3 - 13*k**2 + 48*k - 140/3.
(k - 35)*(k - 2)**2/3
Factor 3*x**2 - 78*x + 75.
3*(x - 25)*(x - 1)
Factor 5*g**2 - 200*g + 380.
5*(g - 38)*(g - 2)
Solve 2*n**4 - 14*n**3 = 0 for n.
0, 7
Let 2*s**2 + 24*s + 40 = 0. Calculate s.
-10, -2
Determine x so that 3*x**5/5 - 174*x**4/5 + 504*x**3 + 174*x**2/5 - 2523*x/5 = 0.
-1, 0, 1, 29
Factor -g**4/2 - 43*g**3/2 + 3*g**2/2 + 131*g/2 + 43.
-(g - 2)*(g + 1)**2*(g + 43)/2
Determine w, given that 4*w**3 - 16*w**2 - 84*w = 0.
-3, 0, 7
Determine h, given that -15*h**5 + 145*h**4 - 85*h**3 - 1665*h**2 + 1080*h + 540 = 0.
-3, -1/3, 1, 6
Find y such that 5*y**3 - 255*y**2 + 1170*y - 920 = 0.
1, 4, 46
Suppose -3*d**3/11 - d**2 + 4*d/11 = 0. Calculate d.
-4, 0, 1/3
Find w such that 5*w**4 + 100*w**3 + 545*w**2 + 810*w + 360 = 0.
-12, -6, -1
Solve -5*h**4 - 495*h**3 + 1025*h**2 + 1515*h = 0.
-1