1)**2
Solve 2*r**3/13 + 2*r**2/13 - 8*r/13 - 8/13 = 0.
-2, -1, 2
Factor 2*z**3/3 + 14*z**2/3 - 4*z - 48.
2*(z - 3)*(z + 4)*(z + 6)/3
Solve -2*b**3 + 154*b**2 = 0.
0, 77
Factor -v**2 + 43*v - 462.
-(v - 22)*(v - 21)
Determine w so that -4*w**3/3 + 20*w**2/3 + 8*w/3 - 32 = 0.
-2, 3, 4
Factor -2*y**5/3 - 4*y**4 - 8*y**3 - 20*y**2/3 - 2*y.
-2*y*(y + 1)**3*(y + 3)/3
Solve -c**4 - c**3 + 30*c**2 = 0.
-6, 0, 5
Let 2*s**3 + 2*s**2 - 4*s = 0. Calculate s.
-2, 0, 1
Let -7*j**2/4 - 1003*j/4 - 143/2 = 0. What is j?
-143, -2/7
Factor -q**3/2 + 65*q**2/2 - 763*q/2 + 2499/2.
-(q - 51)*(q - 7)**2/2
Suppose y**3/5 - 214*y**2 + 285152*y/5 + 574592/5 = 0. Calculate y.
-2, 536
What is i in -3*i**4 + 42*i**3 - 207*i**2 + 408*i - 240 = 0?
1, 4, 5
Factor 2*m**2 + 16080*m + 32320800.
2*(m + 4020)**2
Factor -3*p**3/7 - 192*p**2/7 - 2055*p/7 + 2250/7.
-3*(p - 1)*(p + 15)*(p + 50)/7
Factor -s**3/2 + 88*s**2 - 175*s/2.
-s*(s - 175)*(s - 1)/2
Find l such that -3*l**5 + 48*l**4 - 282*l**3 + 720*l**2 - 675*l = 0.
0, 3, 5
Factor 3*p**4/5 + 6*p**3 + 87*p**2/5 + 96*p/5 + 36/5.
3*(p + 1)**2*(p + 2)*(p + 6)/5
Factor 4*g**3/9 + 112*g**2/9 + 320*g/3 + 256.
4*(g + 4)*(g + 12)**2/9
Suppose -2*b**4 + 2*b**3 + 10*b**2 + 6*b = 0. What is b?
-1, 0, 3
Suppose -3*p**3/4 - 1107*p**2/4 - 136161*p/4 - 5582601/4 = 0. Calculate p.
-123
Factor 2*r**3/9 - 16*r**2/9 + 14*r/9.
2*r*(r - 7)*(r - 1)/9
Factor v**5 - 2*v**4 - 6*v**3 + 20*v**2 - 19*v + 6.
(v - 2)*(v - 1)**3*(v + 3)
Suppose 2*m**2/13 - 36*m/13 + 34/13 = 0. What is m?
1, 17
Factor 2*f**2/5 - 10.
2*(f - 5)*(f + 5)/5
Factor -2*v**3 - 1226*v**2 - 1224*v.
-2*v*(v + 1)*(v + 612)
What is y in -98*y**4/5 + 798*y**3/5 - 32*y**2/5 - 672*y/5 + 256/5 = 0?
-1, 4/7, 8
Factor m**3 + 10*m**2 + 24*m.
m*(m + 4)*(m + 6)
Factor -3*m**2 + 21*m + 24.
-3*(m - 8)*(m + 1)
Determine y, given that 3*y**2/7 + 60*y/7 - 900/7 = 0.
-30, 10
Suppose 4*f**2/3 + 768*f + 110592 = 0. Calculate f.
-288
Let o**3 - 3*o**2 - 24*o + 80 = 0. What is o?
-5, 4
Factor -c**3/2 + 5*c**2 + 69*c/2 + 45.
-(c - 15)*(c + 2)*(c + 3)/2
Factor -5*u**2 + 45*u - 70.
-5*(u - 7)*(u - 2)
Solve -2*y**3 - 18*y**2 + 96*y - 104 = 0.
-13, 2
Find s, given that s**5 - 14*s**4/3 - 50*s**3/3 + 40*s**2 + 69*s + 18 = 0.
-3, -1, -1/3, 3, 6
Factor 4*j**2 - 68*j + 120.
4*(j - 15)*(j - 2)
Suppose 9*u**3/4 + 91*u**2/2 + 226*u + 48 = 0. Calculate u.
-12, -8, -2/9
Factor j**3/2 - 3*j**2 - 9*j/2 + 7.
(j - 7)*(j - 1)*(j + 2)/2
What is m in 2*m**3 - 54*m**2 - 114*m - 58 = 0?
-1, 29
Find c, given that 2*c**5/15 - 2*c**4/15 - 2*c**3/5 + 2*c**2/3 - 4*c/15 = 0.
-2, 0, 1
Factor 4*z**3/11 + 350*z**2/11 + 7912*z/11 + 11094/11.
2*(z + 43)**2*(2*z + 3)/11
Let 2*y**4/3 + 20*y**3/3 + 50*y**2/3 = 0. What is y?
-5, 0
Find z, given that -2*z**2 + 58*z - 56 = 0.
1, 28
Factor 2*c**2 + 10*c + 8.
2*(c + 1)*(c + 4)
Factor -2*d**3 + 9808*d**2 - 12024608*d.
-2*d*(d - 2452)**2
Suppose -121*z**4/2 + 8547*z**3/2 + 5916*z**2 + 1726*z + 144 = 0. Calculate z.
-1, -2/11, 72
Let -a**3/7 - 25*a**2/7 - 16*a + 84 = 0. Calculate a.
-14, 3
Factor m**3 - 70*m**2 + 549*m.
m*(m - 61)*(m - 9)
Let -3*u**3 - 132*u**2 + 567*u - 432 = 0. Calculate u.
-48, 1, 3
Factor 4*j**3/5 + 28*j**2/5 + 44*j/5 + 4.
4*(j + 1)**2*(j + 5)/5
What is i in -5*i**5 - 80*i**4 - 380*i**3 - 410*i**2 + 385*i + 490 = 0?
-7, -2, -1, 1
What is y in y**5/2 - 127*y**4/2 - 133*y**3/2 + 643*y**2/2 - 192*y = 0?
-3, 0, 1, 128
What is y in 2*y**5/3 + 22*y**4/3 + 70*y**3/3 + 50*y**2/3 - 24*y - 24 = 0?
-6, -3, -2, -1, 1
Let 5*m**5/2 - 4*m**4 - 29*m**3/2 + 10*m**2 + 6*m = 0. Calculate m.
-2, -2/5, 0, 1, 3
Find z, given that 2*z**3/19 - 68*z**2/19 + 122*z/19 + 192/19 = 0.
-1, 3, 32
Factor 2*m**3 - 486*m**2 + 29280*m + 29768.
2*(m - 122)**2*(m + 1)
Factor -3*g**2 - 624*g - 1236.
-3*(g + 2)*(g + 206)
Factor -4*l**2/9 - 1436*l/9 + 2888/9.
-4*(l - 2)*(l + 361)/9
Determine n, given that -5*n**4/3 + 50*n**3/3 + 5*n**2/3 - 50*n/3 = 0.
-1, 0, 1, 10
Suppose 5*t**3 + 40*t**2 - 8295*t + 110250 = 0. Calculate t.
-50, 21
Solve 4*l**2 + 12*l - 280 = 0.
-10, 7
Determine b so that -80*b**5 + 840*b**4 - 405*b**3 + 50*b**2 = 0.
0, 1/4, 10
Factor 84*d**3 + 248*d**2 - 348*d + 16.
4*(d - 1)*(d + 4)*(21*d - 1)
Let 3*g**3 + 21*g**2 - 120*g + 132 = 0. Calculate g.
-11, 2
Suppose -h**2/2 + 432*h - 93312 = 0. What is h?
432
Factor 4*a**3 - 2924*a**2 + 532896*a + 535824.
4*(a - 366)**2*(a + 1)
Find f such that 2*f**2/9 + 260*f/9 = 0.
-130, 0
Determine b, given that 2*b**4/3 + 4*b**3/3 - 8*b**2 + 28*b/3 - 10/3 = 0.
-5, 1
Determine f, given that -3*f**2 - 24*f - 45 = 0.
-5, -3
Let -2*i**5/7 - 6*i**4/7 - 6*i**3/7 - 2*i**2/7 = 0. What is i?
-1, 0
Let -16*d**2/5 + 2498*d/5 - 312/5 = 0. Calculate d.
1/8, 156
Factor -5*c**4 + 300*c**3 + 1260*c**2 + 1280*c.
-5*c*(c - 64)*(c + 2)**2
Factor -u**3/3 + u**2/3 + 2*u.
-u*(u - 3)*(u + 2)/3
Factor -27*n**2 - 156*n + 36.
-3*(n + 6)*(9*n - 2)
Let -5*x**3 + 180*x = 0. What is x?
-6, 0, 6
Factor t**4/3 - 5*t**3/3 + 2*t**2/3 + 20*t/3 - 8.
(t - 3)*(t - 2)**2*(t + 2)/3
Factor -10*j**3/11 - 2*j**2 - 4*j/11.
-2*j*(j + 2)*(5*j + 1)/11
Solve -4*w**3 + 10*w**2/9 + 58*w/9 + 4/3 = 0 for w.
-1, -2/9, 3/2
What is y in -2*y**5/3 - 25*y**4/2 + 13*y**3/3 + 22*y**2 - 11*y/3 - 19/2 = 0?
-19, -1, -3/4, 1
Factor 2*f**4 + 3*f**3 - 18*f**2 + 8*f.
f*(f - 2)*(f + 4)*(2*f - 1)
Factor -5*i**5 + 70*i**4 - 305*i**3 + 420*i**2 - 180*i.
-5*i*(i - 6)**2*(i - 1)**2
Factor 15*p**4 - 80*p**3 + 145*p**2 - 100*p + 20.
5*(p - 2)**2*(p - 1)*(3*p - 1)
Solve -z**2/7 + 858*z/7 - 488 = 0.
4, 854
Factor -3*q**5/8 + 165*q**4/8 + 513*q**3/8 + 519*q**2/8 + 87*q/4.
-3*q*(q - 58)*(q + 1)**3/8
Factor -q**2 - 27*q - 26.
-(q + 1)*(q + 26)
Factor 3*d**3/7 + 69*d**2/7 - 1992*d/7 + 1920/7.
3*(d - 16)*(d - 1)*(d + 40)/7
Let l**2 - 11794*l + 34774609 = 0. Calculate l.
5897
Find f such that f**5/4 - 3*f**4/4 - f**3/4 + 3*f**2/4 = 0.
-1, 0, 1, 3
Factor 5*c**2 - 600*c - 2480.
5*(c - 124)*(c + 4)
Find a such that -45*a**5 + 235*a**4 - 275*a**3 - 175*a**2 + 320*a - 60 = 0.
-1, 2/9, 1, 2, 3
Find b, given that -b**2 - 8062*b - 16248961 = 0.
-4031
Factor -3*n**3 + 3*n**2 + 51*n + 45.
-3*(n - 5)*(n + 1)*(n + 3)
Suppose 3*s**3 - 21*s + 18 = 0. What is s?
-3, 1, 2
Factor z**2/4 + 11*z/2 - 279/4.
(z - 9)*(z + 31)/4
Solve -5*z**4 - 1220*z**3 - 98400*z**2 - 2555120*z + 5513680 = 0.
-82, 2
What is t in 2*t**2 + 20*t + 50 = 0?
-5
Suppose -4*p**5 + 20*p**4 + 36*p**3 - 68*p**2 - 32*p + 48 = 0. What is p?
-2, -1, 1, 6
Factor -2*m**5 + 24*m**4 - 114*m**3 + 268*m**2 - 312*m + 144.
-2*(m - 3)**2*(m - 2)**3
What is l in -5*l**2 - 33930*l - 57562245 = 0?
-3393
Find r, given that 8*r**4/3 - 230*r**3/3 - 314*r**2/3 + 416*r/3 + 40 = 0.
-2, -1/4, 1, 30
Factor -2*z**2/9 - 428*z/3 + 1286/9.
-2*(z - 1)*(z + 643)/9
Factor -5*h**2 + 7000*h - 2450000.
-5*(h - 700)**2
Find x, given that -4*x**4 - 16*x**3 + 40*x**2 + 112*x + 60 = 0.
-5, -1, 3
Factor 5*y**2/3 - 61*y/3 + 4.
(y - 12)*(5*y - 1)/3
Solve -3*m**3 + 138*m**2 - 1716*m + 2904 = 0 for m.
2, 22
Factor 33*y**4/5 - 258*y**3/5 - 48*y**2/5.
3*y**2*(y - 8)*(11*y + 2)/5
Let -3*l**2 - 3540*l - 1044300 = 0. Calculate l.
-590
Factor 4*t**3/7 + 4*t**2 - 88*t + 1088/7.
4*(t - 8)*(t - 2)*(t + 17)/7
Suppose m**4/3 + 56*m**3/3 + 36*m**2 = 0. What is m?
-54, -2, 0
Factor -k**4/10 - 31*k**3/10 + 137*k**2/5 + 152*k/5.
-k*(k - 8)*(k + 1)*(k + 38)/10
Suppose -4*q**5 + 62*q**4 - 226*q**3 + 326*q**2 - 202*q + 44 = 0. Calculate q.
1/2, 1, 2, 11
Solve 4*n**3 + 100*n**2 + 72*n - 576 = 0 for n.
-24, -3, 2
Solve -2*u**2/17 + 2402*u/17 = 0 for u.
0, 1201
Factor -3*k**4 - 213*k**3 - 414*k**2.
-3*k**2*(k + 2)*(k + 69)
Suppose 3*f**3/2 - 1173*f**2/2 - 2355*f/2 - 1179/2 = 0. Calculate f.
-1, 393
Factor 3*g**2/5 + 117*g/5 - 708.
3*(g - 20)*(g + 59)/5
Factor 9*w**2 - 618*w + 408.
3*(w - 68)*(3*w - 2)
Let n**2/4 + 55*n/2 + 3025/4 = 0. What is n?
-55
Factor -2*t**4/5 + 64*t**3/5 - 284*t**2/5 - 3648*t/5 - 6498/5.
-2*(t - 19)**2*(t + 3)**2/5
Factor 3*t**2/4 + 9*t.
3*t*(t + 12)/4
Factor k**2/6 - 5*k/2.
k*(k - 15)/6
Factor -5*x**5 - 70*x**4 - 65*x**3.
-5*x**3*(x + 1)*(x + 13)
Factor 2*p**2 - 26*p + 60.
2*(p - 10)*(p - 3)
Factor 5*n**5/2 + 35*n**4/2.
5*n**4*(n + 7)/2
Suppose -u**3 - 81*u**2 - 80*u = 0. What is u?
-80, -1, 0
Let -3*s**2/2 + 11*s + 8 = 0. What is s?
-2/3, 8
Factor -x**2/2 + 467*x - 932.
-(x - 932)*(x - 2)/2
Determine k so that 2*k**3 - 244*k**2 + 