1)*(z + 2)**2/9
Determine r so that 3*r**4/2 - 2*r**3 - 32*r**2 - 56*r - 24 = 0.
-2, -2/3, 6
Factor 5*c**2 - 1400*c - 2820.
5*(c - 282)*(c + 2)
Factor -2*q**4/17 + 16*q**3/17 - 40*q**2/17 + 32*q/17.
-2*q*(q - 4)*(q - 2)**2/17
Suppose n**3/6 - 29*n**2/6 + 259*n/6 - 245/2 = 0. What is n?
7, 15
What is f in 2*f**5/11 + 8*f**4/11 - 60*f**3/11 - 80*f**2/11 + 298*f/11 - 168/11 = 0?
-7, -3, 1, 4
Factor -4*c**2/7 + 148*c/7 + 152/7.
-4*(c - 38)*(c + 1)/7
Suppose 18*m**3/7 - 33*m**2/7 - 3*m/7 + 18/7 = 0. What is m?
-2/3, 1, 3/2
Find s such that -s**4/3 + 133*s**3/3 - 173*s**2 + 129*s = 0.
0, 1, 3, 129
Factor 4*c**3 + 12*c**2 - 1012*c - 1020.
4*(c - 15)*(c + 1)*(c + 17)
Factor -18*a**3 + 1407*a**2 + 1188*a - 237.
-3*(a - 79)*(a + 1)*(6*a - 1)
What is i in -2*i**4/5 - 16*i**3/5 - 14*i**2/5 = 0?
-7, -1, 0
Factor -2*y**2/7 - 326*y/7 - 324/7.
-2*(y + 1)*(y + 162)/7
What is i in i**5/6 - i**4/2 - 16*i**3/3 - 10*i**2 - 16*i/3 = 0?
-2, -1, 0, 8
Factor -162*g**2/7 + 2196*g/7 - 7442/7.
-2*(9*g - 61)**2/7
Factor q**3/6 + 9*q**2/2 + 76*q/3.
q*(q + 8)*(q + 19)/6
Let 38*k**4/3 - 74*k**3/3 - 118*k**2/3 - 2*k = 0. Calculate k.
-1, -1/19, 0, 3
Determine j so that -j**4 - 16*j**3 - 30*j**2 + 112*j - 65 = 0.
-13, -5, 1
Suppose 4*y**5 - 24*y**4 + 48*y**3 - 32*y**2 = 0. Calculate y.
0, 2
Solve -2*j**5/21 + 26*j**4/7 - 240*j**3/7 + 648*j**2/7 = 0 for j.
0, 6, 27
Factor -5*w**2/3 - 120*w + 1680.
-5*(w - 12)*(w + 84)/3
Factor -t**4/3 - 23*t**3/3 - 40*t**2 + 48*t.
-t*(t - 1)*(t + 12)**2/3
Determine a so that 484*a**5 + 1628*a**4/3 - 728*a**3/3 - 568*a**2/3 + 100*a - 12 = 0.
-1, 3/11, 1/3
Suppose 3*u**4 - 1533*u**3 - 1548*u**2 + 6132*u + 6144 = 0. What is u?
-2, -1, 2, 512
Factor -2*m**2/9 + 4*m/9 + 16/9.
-2*(m - 4)*(m + 2)/9
Factor -4*p**2 + 628*p + 7392.
-4*(p - 168)*(p + 11)
Find p such that -10*p**4/7 + 4*p**3/7 + 40*p**2/7 - 16*p/7 = 0.
-2, 0, 2/5, 2
Solve 3*w**4 + 20*w**3 - 26*w**2/3 - 12*w - 7/3 = 0 for w.
-7, -1/3, 1
Factor -5*b**3 + 35*b**2 + 85*b + 45.
-5*(b - 9)*(b + 1)**2
Solve -18*i**5 - 76*i**4 + 38*i**3 + 192*i**2 - 104*i - 32 = 0.
-4, -2, -2/9, 1
Factor -t**2/5 + 51*t/5 + 106/5.
-(t - 53)*(t + 2)/5
Suppose -8*z**5/7 - 138*z**4/7 - 282*z**3/7 - 26*z**2 - 30*z/7 = 0. What is z?
-15, -1, -1/4, 0
Factor m**2/2 + 23*m/2 + 66.
(m + 11)*(m + 12)/2
Suppose -2*w**4/7 - 4*w**3/7 + 2*w**2/7 + 4*w/7 = 0. What is w?
-2, -1, 0, 1
Determine w, given that w**3/4 + w**2 + 5*w/4 + 1/2 = 0.
-2, -1
Determine z so that z**3/3 + 28*z**2/3 + 100*z/3 + 32 = 0.
-24, -2
Determine g so that g**4/4 - 7*g**3/4 - g**2/4 + 7*g/4 = 0.
-1, 0, 1, 7
Factor -4*m**3/7 + 148*m**2 - 71500*m/7 + 562500/7.
-4*(m - 125)**2*(m - 9)/7
Find m such that -5*m**2 - 5*m = 0.
-1, 0
Factor i**4/3 - 976*i**3/3 + 79381*i**2 + 976*i/3 - 238144/3.
(i - 488)**2*(i - 1)*(i + 1)/3
Factor p**3/6 - 12*p**2 + 71*p/6.
p*(p - 71)*(p - 1)/6
Factor 2*w**4/13 - 4*w**3/13 - 2*w**2/13 + 4*w/13.
2*w*(w - 2)*(w - 1)*(w + 1)/13
Determine q, given that -4*q**3 + 2880*q**2 - 518400*q = 0.
0, 360
What is x in -5*x**2 + 7810*x = 0?
0, 1562
Factor -q**2/7 + 37*q/7 + 650/7.
-(q - 50)*(q + 13)/7
Find f, given that 3*f**2/4 - 27*f/4 - 33/2 = 0.
-2, 11
What is h in h**2/5 + 728*h/5 + 132496/5 = 0?
-364
Factor 3*s**2/2 - 9*s/2 + 3.
3*(s - 2)*(s - 1)/2
Suppose 2*i**4 + 316*i**3 + 12162*i**2 - 25280*i + 12800 = 0. Calculate i.
-80, 1
Find k such that 15*k**2 - 20*k + 5 = 0.
1/3, 1
What is i in -2*i**3/7 + 20*i**2/7 - 16*i/7 - 128/7 = 0?
-2, 4, 8
Factor m**3/8 - m**2/2 - 7*m/8 + 5/4.
(m - 5)*(m - 1)*(m + 2)/8
Factor 35*n**4 + 425*n**3 + 1320*n**2 + 1300*n + 160.
5*(n + 2)**2*(n + 8)*(7*n + 1)
Suppose 9*i**5 - 669*i**4 - 1134*i**3 - 456*i**2 = 0. Calculate i.
-1, -2/3, 0, 76
Factor -3*s**3 + 225*s**2 + 984*s - 2844.
-3*(s - 79)*(s - 2)*(s + 6)
Let 3*j**2 - 4149*j - 8310 = 0. Calculate j.
-2, 1385
Factor -4*w**4/3 - 20*w**3 + 64*w**2/3.
-4*w**2*(w - 1)*(w + 16)/3
Find y, given that -3*y**5 + 18*y**4 - 6*y**3 - 48*y**2 + 9*y + 30 = 0.
-1, 1, 2, 5
Determine m so that -m**4/6 + 29*m**3/3 + 132*m**2 + 1648*m/3 + 2240/3 = 0.
-4, 70
Factor r**3 - 4*r**2 + 5*r - 2.
(r - 2)*(r - 1)**2
Determine o so that 3*o**5 - 6*o**4 - 9*o**3 + 24*o**2 - 12*o = 0.
-2, 0, 1, 2
Factor -4*w**2 - 11184*w - 7817616.
-4*(w + 1398)**2
Solve -5*i**3 + 10*i**2 + 125*i - 250 = 0.
-5, 2, 5
Solve 4*i**2 + 2188*i + 4360 = 0.
-545, -2
Find v such that 2*v**3/7 + 1206*v**2/7 + 181200*v/7 - 182408/7 = 0.
-302, 1
Suppose s**4 - 11*s**3 + 32*s**2 - 28*s = 0. What is s?
0, 2, 7
Factor -r**3 - 123*r**2 - 5043*r - 68921.
-(r + 41)**3
Determine w, given that -2*w**2 + 1594*w + 1596 = 0.
-1, 798
Suppose -3*i**4/4 + 6*i**3 - 21*i**2/2 - 6*i + 45/4 = 0. Calculate i.
-1, 1, 3, 5
Factor 5*u**2 - 170*u + 320.
5*(u - 32)*(u - 2)
Suppose 4*i**2 - 244*i + 472 = 0. What is i?
2, 59
Solve -g**4/2 + 3*g**3/2 + g**2/2 - 3*g/2 = 0 for g.
-1, 0, 1, 3
Determine f, given that 4*f**4 - 32*f**3 + 44*f**2 + 80*f = 0.
-1, 0, 4, 5
Factor 2*w**2 + 6*w - 416.
2*(w - 13)*(w + 16)
Factor c**3/10 + 9*c**2/10 + 12*c/5 + 2.
(c + 2)**2*(c + 5)/10
Find v such that -2*v**5/17 - 6*v**4/17 + 44*v**3/17 + 24*v**2/17 - 144*v/17 = 0.
-6, -2, 0, 2, 3
Factor -2842580*g**2 + 7540*g - 5.
-5*(754*g - 1)**2
Factor -4*f**2 - 76*f - 136.
-4*(f + 2)*(f + 17)
Let -2*s**4/9 - 4*s**3/3 - 16*s**2/9 = 0. Calculate s.
-4, -2, 0
Find g, given that 3*g**3/4 + 19*g**2/2 + 53*g/4 - 11/2 = 0.
-11, -2, 1/3
Determine y so that -y**4 + 363*y**3 - 1083*y**2 + 1081*y - 360 = 0.
1, 360
Determine a, given that 2*a**4/7 + 20*a**3/7 - 50*a**2/7 - 20*a/7 + 48/7 = 0.
-12, -1, 1, 2
Let -u**2 + 406*u = 0. What is u?
0, 406
Factor k**5/3 + 4*k**4/3 - k**3 - 10*k**2/3 + 8*k/3.
k*(k - 1)**2*(k + 2)*(k + 4)/3
Determine a, given that 35*a**4 + 3805*a**3 + 96910*a**2 - 357280*a + 94080 = 0.
-56, 2/7, 3
Factor -5*c**4 + 10*c**3 - 10*c + 5.
-5*(c - 1)**3*(c + 1)
Factor 3*q**2 - 228*q + 4332.
3*(q - 38)**2
Factor 2*x**3 + 16*x**2 - 582*x + 2484.
2*(x - 9)*(x - 6)*(x + 23)
Solve -33235225*q**3 - 33258285*q**2 - 23064*q - 4 = 0 for q.
-1, -2/5765
What is n in -n**4/3 - 2*n**3/3 + 127*n**2/3 - 112*n/3 - 784 = 0?
-12, -4, 7
Solve -n**2/5 + 204*n/5 - 203/5 = 0 for n.
1, 203
What is u in 3*u**4 - 546*u**3 + 1083*u**2 - 540*u = 0?
0, 1, 180
Factor 100*i**3 - 280*i**2 + 176*i - 32.
4*(i - 2)*(5*i - 2)**2
Let 2*p**5 - 24*p**4/7 - 386*p**3/7 + 1404*p**2/7 - 1080*p/7 - 432/7 = 0. What is p?
-6, -2/7, 2, 3
Factor -h**3 + 32*h**2 - 133*h - 2166.
-(h - 19)**2*(h + 6)
Suppose 56*f**5/5 + 262*f**4/5 + 382*f**3/5 + 176*f**2/5 + 24*f/5 = 0. What is f?
-2, -3/7, -1/4, 0
What is n in 3*n**5/2 - 270*n**4 + 23751*n**3/2 + 24843*n**2 = 0?
-2, 0, 91
Factor -2*w**3/9 + 190*w**2/9.
-2*w**2*(w - 95)/9
Let 3*t**5 - 60*t**4 + 108*t**3 = 0. Calculate t.
0, 2, 18
Suppose -a**4/3 + a**3/3 + 5*a**2 + 23*a/3 + 10/3 = 0. Calculate a.
-2, -1, 5
Determine l so that 3*l**4 + 12*l**3 - 96*l**2 = 0.
-8, 0, 4
Factor -k**3/3 - 28*k**2/3 + k/3 + 28/3.
-(k - 1)*(k + 1)*(k + 28)/3
Suppose 2*i**4/3 + 20*i**3/9 - 46*i**2/9 + 20*i/9 = 0. Calculate i.
-5, 0, 2/3, 1
Factor -l**3 - 25*l**2 - 168*l - 144.
-(l + 1)*(l + 12)**2
Factor 2*z**3 - 816*z**2/7 - 594*z/7 + 236/7.
2*(z - 59)*(z + 1)*(7*z - 2)/7
Solve -2*h**4/7 + 40*h**3/7 - 158*h**2/7 + 120*h/7 = 0.
0, 1, 4, 15
What is u in u**2 + 5*u + 6 = 0?
-3, -2
Factor k**3/5 + 171*k**2/5 - 69*k + 173/5.
(k - 1)**2*(k + 173)/5
Factor -5*p**3 + 200*p**2 - 2185*p + 3610.
-5*(p - 19)**2*(p - 2)
Let 3*j**2 + 240*j + 237 = 0. What is j?
-79, -1
Let 2*o**3/13 + 6*o**2/13 - 20*o/13 - 48/13 = 0. Calculate o.
-4, -2, 3
Factor h**3/3 - 31*h**2/3 + 187*h/3 + 289.
(h - 17)**2*(h + 3)/3
Determine v so that 3*v**3 - 45*v**2 - 444*v - 396 = 0.
-6, -1, 22
Factor -2*n**2/7 + 52*n - 2366.
-2*(n - 91)**2/7
Factor -5*m**2 - 15*m.
-5*m*(m + 3)
Find x such that -16*x**4 + 48*x**3 + 77*x**2 - 192*x - 52 = 0.
-2, -1/4, 2, 13/4
Factor -5*t**2 - 23350*t - 27261125.
-5*(t + 2335)**2
Determine i so that 4*i**3 + 2088*i**2 - 2100*i - 4184 = 0.
-523, -1, 2
Let -5*m**5/4 + 15*m**4/4 + 55*m**3/4 - 75*m**2/4 - 115*m/2 - 30 = 0. Calculate m.
-2, -1, 3, 4
Let -5*m**4 - 67*m**3 - 86*m**2 - 24*m = 0. Calculate m.
-12, -1, -2/5, 0
Factor -d**5/7 - 331*d**4/7 - 3841*d**3 + 83667*d**2/7.
-d**2*(d - 3)*(d + 167)**2/7
Factor 2*r**4 + 6*r**3 + 4*r**2.
2*r**2*(r + 1)*(r + 2)
Suppose 12*k**3/5 + 56*k**2 - 196*k/5