 that 2*s**2 - 18*s - 224 = 0.
-7, 16
Suppose q**3/3 - 17*q**2 + 50*q/3 = 0. What is q?
0, 1, 50
Factor -3*q**2 + 9*q.
-3*q*(q - 3)
Determine q, given that -q**3 - 37*q**2 - 71*q - 35 = 0.
-35, -1
Let -g**2/5 - 156*g - 779/5 = 0. Calculate g.
-779, -1
Solve z**2 + 19*z - 20 = 0 for z.
-20, 1
Factor t**5 - 5*t**4 + 10*t**3 - 10*t**2 + 5*t - 1.
(t - 1)**5
Factor -a**3 - 29*a**2 + 4*a + 116.
-(a - 2)*(a + 2)*(a + 29)
What is m in m**3/4 + 14*m**2 - 521*m/4 - 144 = 0?
-64, -1, 9
Factor 3*v**2/7 + 192*v/7 + 3072/7.
3*(v + 32)**2/7
Let 4*n**5 - 20*n**4 - 212*n**3 + 484*n**2 + 3808*n + 3136 = 0. What is n?
-4, -1, 7
Suppose z**3/3 - 9*z**2 - 28*z/3 = 0. What is z?
-1, 0, 28
Solve -2*r**4/3 + 700*r**3/3 - 926*r**2 + 3464*r/3 - 1384/3 = 0 for r.
1, 2, 346
Let -y**4/5 - 3*y**3/5 + 19*y**2/5 + 3*y/5 - 18/5 = 0. Calculate y.
-6, -1, 1, 3
Let 100*x**3 + 5640*x**2 + 2244*x + 224 = 0. Calculate x.
-56, -1/5
Let d**2/3 - 16*d/3 + 20 = 0. Calculate d.
6, 10
Factor 2*a**5/7 + 20*a**4/7 + 8*a**3 + 48*a**2/7.
2*a**2*(a + 2)**2*(a + 6)/7
Factor x**5/5 + 4*x**4/5 + 4*x**3/5 - 2*x**2/5 - x - 2/5.
(x - 1)*(x + 1)**3*(x + 2)/5
Factor 5*k**4/3 + 32*k**3/3 + 17*k**2.
k**2*(k + 3)*(5*k + 17)/3
What is s in s**5 - 41*s**4 + 587*s**3 - 3463*s**2 + 8040*s - 6300 = 0?
2, 7, 15
Factor 6*y**5/7 + 342*y**4/7 + 666*y**3/7 + 330*y**2/7.
6*y**2*(y + 1)**2*(y + 55)/7
Find m, given that 28*m**4 - 120*m**3 - 52*m**2 + 528*m - 144 = 0.
-2, 2/7, 3
Factor 3*u**3 - 18*u**2 + 33*u - 18.
3*(u - 3)*(u - 2)*(u - 1)
Factor -5*u**2 + 90*u - 405.
-5*(u - 9)**2
Let 4*s**5 + 196*s**4 - 1048*s**3 + 1712*s**2 - 864*s = 0. What is s?
-54, 0, 1, 2
Factor -2*v**2 + 4066*v.
-2*v*(v - 2033)
Factor 3*z**4 + 21*z**3 + 39*z**2 - 9*z - 54.
3*(z - 1)*(z + 2)*(z + 3)**2
Determine w, given that w**4 + 5*w**3 - 11*w**2 - 33*w - 18 = 0.
-6, -1, 3
Suppose 2*p**4/15 + 14*p**3/15 + 22*p**2/15 + 2*p/3 = 0. What is p?
-5, -1, 0
Solve 3*m**5/4 - 57*m**3/2 + 63*m**2 + 111*m/4 - 63 = 0.
-7, -1, 1, 3, 4
Suppose 2*g**3 - 42*g**2 - 44*g = 0. What is g?
-1, 0, 22
Factor -w**3 + 130*w**2 + 263*w + 132.
-(w - 132)*(w + 1)**2
Determine f, given that -2*f**5 - 30*f**4 - 144*f**3 - 208*f**2 + 96*f + 288 = 0.
-6, -2, 1
Factor -5*f**2 - 275*f - 1020.
-5*(f + 4)*(f + 51)
Factor x**4/5 - 2*x**3/5 - 3*x**2.
x**2*(x - 5)*(x + 3)/5
Solve -4*h**4/7 + 204*h**3/7 - 2700*h**2/7 + 2500*h/7 = 0.
0, 1, 25
Factor -3*v**4 + 21*v**3 + 51*v**2 + 27*v.
-3*v*(v - 9)*(v + 1)**2
Find s such that -10*s**4/7 + 6*s**3/7 + 44*s**2/7 - 24*s/7 - 16/7 = 0.
-2, -2/5, 1, 2
Factor 5*d**2 - 560*d + 15680.
5*(d - 56)**2
Solve -35*x**5 + 30*x**4 + 250*x**3 - 215*x - 30 = 0.
-2, -1, -1/7, 1, 3
Solve 3481*n**4/3 - 34574*n**3/3 - 13549*n**2 - 2636*n/3 - 44/3 = 0 for n.
-1, -2/59, 11
Suppose 5*n**3 - 1515*n**2 + 153015*n - 5151505 = 0. Calculate n.
101
Find p, given that -5*p**3 + 235*p**2 - 2640*p - 2880 = 0.
-1, 24
Factor 5*w**4 + 5*w**3 - 360*w**2.
5*w**2*(w - 8)*(w + 9)
What is h in 3*h**2/5 - 60*h + 1500 = 0?
50
Factor 5*t**3/3 + 28*t**2/3 + 5*t.
t*(t + 5)*(5*t + 3)/3
Factor -4*n**3 - 540*n**2 - 536*n.
-4*n*(n + 1)*(n + 134)
Let -5*d**4 + 25*d**3 - 100*d + 80 = 0. What is d?
-2, 1, 2, 4
Factor 4823*d**2/3 - 1406*d/3 + 8/3.
(7*d - 2)*(689*d - 4)/3
Factor j**5/10 + 9*j**4/10 + 3*j**3/2 + 7*j**2/10.
j**2*(j + 1)**2*(j + 7)/10
Find m such that -m**3/9 - 5*m**2/3 + 334*m/9 - 280/3 = 0.
-28, 3, 10
Solve 240*m**4/7 + 264*m**3/7 - 69*m**2/7 - 75*m/7 + 18/7 = 0 for m.
-1, -3/4, 1/4, 2/5
Determine s so that -4*s**3 + 10716*s**2 - 9569388*s + 2848487828 = 0.
893
Determine l, given that 6*l**5/11 - 64*l**4/11 + 230*l**3/11 - 300*l**2/11 + 64*l/11 + 64/11 = 0.
-1/3, 1, 2, 4
Solve -c**5/9 - c**4/9 + 10*c**3/9 - 8*c**2/9 = 0.
-4, 0, 1, 2
Solve -4*v**2 + 104*v - 100 = 0.
1, 25
Let -3*a**2/5 - 6*a - 15 = 0. What is a?
-5
Determine v, given that 5*v**2 + 90*v + 280 = 0.
-14, -4
Factor -2178*y**3 + 6666*y**2 - 398*y + 6.
-2*(y - 3)*(33*y - 1)**2
Find u such that -u**4 - 28*u**3 - 165*u**2 + 450*u = 0.
-15, 0, 2
Factor 45*l**4 + 75*l**3 - 70*l**2 - 60*l + 40.
5*(l + 1)*(l + 2)*(3*l - 2)**2
Determine g, given that -20*g**3 + 72*g**2 - 28*g - 24 = 0.
-2/5, 1, 3
Solve -2*z**3/5 + 12*z**2/5 + 624*z/5 - 256 = 0 for z.
-16, 2, 20
Factor 2*x**3/7 - 2*x**2/7.
2*x**2*(x - 1)/7
Solve 5*g**3 - 2250*g**2 - 13635*g - 20520 = 0.
-3, 456
Solve 3*k**4/5 - 27*k**3/5 - 39*k**2/5 + 63*k + 324/5 = 0.
-3, -1, 4, 9
Let 3*f**4/2 + 137*f**3/2 + 697*f**2 - 1968*f + 576 = 0. What is f?
-24, 1/3, 2
Factor 5*y**4 - 400*y**3 - 1660*y**2 - 1680*y.
5*y*(y - 84)*(y + 2)**2
Suppose 2*l**3 - 38*l**2 + 112*l + 392 = 0. Calculate l.
-2, 7, 14
Factor -j**2/5 - 32*j/5 + 33/5.
-(j - 1)*(j + 33)/5
Solve 5*j**3 - 65*j**2 + 160*j - 100 = 0 for j.
1, 2, 10
Find f, given that 3*f**4/4 + 87*f**3/4 + 201*f**2 + 612*f + 432 = 0.
-12, -4, -1
Factor 2*c**4 + 199*c**3 + 4689*c**2 - 13311*c - 7803.
(c - 3)*(c + 51)**2*(2*c + 1)
Factor 2*p**3 - 92*p**2 + 160*p + 704.
2*(p - 44)*(p - 4)*(p + 2)
Determine g so that -4*g**4 - 164*g**3 - 1656*g**2 = 0.
-23, -18, 0
Factor -4*u**3 + 164*u**2 + 4*u - 164.
-4*(u - 41)*(u - 1)*(u + 1)
Determine q so that 98*q**4/3 - 3808*q**3/3 + 38588*q**2/3 - 10336*q + 2166 = 0.
3/7, 19
Find z, given that 13*z**3/8 - 7*z**2/2 + z/2 = 0.
0, 2/13, 2
Determine m, given that -m**3 + 20*m**2 - 100*m = 0.
0, 10
Solve 2*w**5/19 + 440*w**4/19 - 15972*w**3/19 + 181016*w**2/19 - 673486*w/19 = 0 for w.
-253, 0, 11
Find q, given that -q**2/4 - 35*q/4 - 75/2 = 0.
-30, -5
Determine h so that -4*h**5 - 64*h**4 - 352*h**3 - 768*h**2 - 576*h = 0.
-6, -2, 0
Suppose 3*p**3/7 - 27*p/7 = 0. What is p?
-3, 0, 3
Let 5*p**2 + 5*p - 60 = 0. What is p?
-4, 3
Find f, given that 108*f**5/7 - 1980*f**4/7 - 3561*f**3/7 - 810*f**2/7 + 603*f/7 - 60/7 = 0.
-1, 1/6, 20
Determine j so that -j**4 - 9*j**3 - 13*j**2 + 9*j + 14 = 0.
-7, -2, -1, 1
Determine c, given that -2*c**2/5 - 6982*c/5 + 6984/5 = 0.
-3492, 1
Factor -12*j**2 - 88*j - 140.
-4*(j + 5)*(3*j + 7)
Suppose 2*p**3 + 96*p**2 + 90*p - 188 = 0. Calculate p.
-47, -2, 1
Factor -4*a**2/3 + 17*a + 13/3.
-(a - 13)*(4*a + 1)/3
Factor 4*d**4 - 16*d**3 + 4*d**2 + 24*d.
4*d*(d - 3)*(d - 2)*(d + 1)
Determine y so that -5*y**4/2 - 40*y**3 - 145*y**2/2 + 385*y + 780 = 0.
-13, -4, -2, 3
What is w in 2*w**3 + 4*w**2 - 8*w - 16 = 0?
-2, 2
Find s, given that -4*s**5 - 480*s**4 + 1464*s**3 - 1472*s**2 + 492*s = 0.
-123, 0, 1
Solve 3*l**4 - 135*l**3/4 + 261*l**2/4 - 165*l/4 + 27/4 = 0 for l.
1/4, 1, 9
Determine i so that 2*i**3/9 + 14*i**2/9 + 4*i/3 = 0.
-6, -1, 0
Factor 2*j**3 - 48*j**2 - 54*j + 100.
2*(j - 25)*(j - 1)*(j + 2)
Factor i**2/3 - 556*i/3 + 77284/3.
(i - 278)**2/3
Factor y**3/4 - 3*y**2/4 - y + 3.
(y - 3)*(y - 2)*(y + 2)/4
What is m in -15*m**2 - 5916*m - 2364 = 0?
-394, -2/5
What is c in -c**2/8 + 27*c/8 + 45/4 = 0?
-3, 30
Factor c**5/8 - 3*c**4/8 + c**2/2.
c**2*(c - 2)**2*(c + 1)/8
Factor -y**4/2 + 4*y**3 + 89*y**2/2 - 156*y.
-y*(y - 13)*(y - 3)*(y + 8)/2
Factor v**2 - 151*v - 462.
(v - 154)*(v + 3)
Determine y so that -2*y**3/17 - 60*y**2/17 + 62*y/17 = 0.
-31, 0, 1
Find n such that 10*n**5 + 34*n**4 - 148*n**3 + 56*n**2 + 48*n = 0.
-6, -2/5, 0, 1, 2
Factor -7*z**2 - 117*z + 34.
-(z + 17)*(7*z - 2)
Factor -d**3 - 21*d**2 - 99*d - 135.
-(d + 3)**2*(d + 15)
Factor 196*x**2 + 1160*x - 96.
4*(x + 6)*(49*x - 4)
Find y such that -y**2/4 - 108*y - 11664 = 0.
-216
Factor 9*d**4/7 + 92*d**3/7 + 20*d**2/7.
d**2*(d + 10)*(9*d + 2)/7
Determine b, given that -3*b**5 + 66*b**4 - 336*b**3 = 0.
0, 8, 14
Solve 2*p**4 - 22*p**3 + 74*p**2 - 90*p + 36 = 0 for p.
1, 3, 6
Factor -4*l**4 + 56*l**3 - 224*l**2 + 256*l.
-4*l*(l - 8)*(l - 4)*(l - 2)
Factor m**2/6 + 644*m/3 + 207368/3.
(m + 644)**2/6
Factor -12*h**5 - 44*h**4 - 24*h**3.
-4*h**3*(h + 3)*(3*h + 2)
What is j in -5*j**2 - 260*j = 0?
-52, 0
Suppose -p**5/10 + 3*p**4/10 + 7*p**3/10 - 11*p**2/10 - 3*p/5 + 4/5 = 0. Calculate p.
-2, -1, 1, 4
Find u such that -2*u**4/3 + 38*u**3/3 - 38*u**2 - 638*u/3 - 484/3 = 0.
-2, -1, 11
Let 3*g**5 - 24*g**4 - 45*g**3 + 654*g**2 - 768*g - 1440 = 0. What is g?
-5, -1, 4, 6
Find w such that 6*w**5/7 + 10*w**4/7 - 10*w**3/7 - 10*w**2/7 + 4*w/7 = 0.
-2, -1, 0, 1/3, 1
Determine q, given that -3*q**3 + 570*q**2 - 1131*q + 564 = 0.
1, 188
Let -2*u**3 - 1154*u**2 - 165886*u + 167042 = 0. What is u?
-289, 1
Factor 2*k**5 -