/9
Let -3*r**5/2 + 45*r**4/2 - 75*r**3/2 - 45*r**2/2 + 39*r = 0. What is r?
-1, 0, 1, 2, 13
Determine f so that 72*f**4/5 - 14*f**3 - 174*f**2 - 4*f + 48/5 = 0.
-3, -1/4, 2/9, 4
Let 85750*c**5/11 + 149450*c**4/11 - 728210*c**3/11 + 180126*c**2/11 - 15228*c/11 + 432/11 = 0. What is c?
-4, 3/35, 2
Factor -t**3 - 71*t**2 + 297*t - 225.
-(t - 3)*(t - 1)*(t + 75)
Let 196*h**3 + 364*h**2 - 416*h - 144 = 0. What is h?
-18/7, -2/7, 1
Let 54*s**4 + 72*s**3 + 30*s**2 + 4*s = 0. Calculate s.
-2/3, -1/3, 0
Factor -a**2/7 - 44*a/7 - 123/7.
-(a + 3)*(a + 41)/7
Factor -38*r**4/5 + 112*r**3/5 - 108*r**2/5 + 32*r/5 + 2/5.
-2*(r - 1)**3*(19*r + 1)/5
Factor -2*u**2 + 444*u - 880.
-2*(u - 220)*(u - 2)
Factor 3*b**3 + 468*b**2 - 3*b - 468.
3*(b - 1)*(b + 1)*(b + 156)
Let c**2/3 + 359*c/3 - 120 = 0. What is c?
-360, 1
Determine y so that 38*y**3 - 680*y**2 + 574*y + 68 = 0.
-2/19, 1, 17
Factor 3*m**5/4 - 3*m**4 + 9*m**3/4.
3*m**3*(m - 3)*(m - 1)/4
Suppose 3*f**2 + 588*f + 1737 = 0. What is f?
-193, -3
Find a, given that 4*a**2 - 2448*a = 0.
0, 612
Solve f**3 + 119*f**2/3 + 77*f/3 - 13 = 0.
-39, -1, 1/3
Factor -3*g**3/7 + 249*g**2/7 + 1032*g/7 + 1044/7.
-3*(g - 87)*(g + 2)**2/7
Find c, given that 177957*c**5 + 27378*c**4 - 176553*c**3 - 27354*c**2 - 1404*c - 24 = 0.
-1, -2/39, 1
Factor 578*w**3 + 9146*w**2 + 40320*w + 31752.
2*(w + 1)*(17*w + 126)**2
Solve 2*t**5/7 + 846*t**4/7 + 89030*t**3/7 - 94134*t**2/7 - 451984*t/7 - 269664/7 = 0 for t.
-212, -1, 3
Solve o**2/3 + 1136*o/3 + 322624/3 = 0.
-568
Suppose -k**4 - 6*k**3 - 13*k**2 - 12*k - 4 = 0. Calculate k.
-2, -1
Find g, given that -4*g**3/7 + 2220*g**2/7 - 306912*g/7 - 309136/7 = 0.
-1, 278
Factor -2*l**3/7 - 38*l**2/7 + 300*l/7.
-2*l*(l - 6)*(l + 25)/7
Factor -3*k**3/4 + 24*k**2 + 51*k.
-3*k*(k - 34)*(k + 2)/4
Find w, given that 2*w**2/7 + 2832*w/7 + 1002528/7 = 0.
-708
Factor 5*z**2 - 109*z.
z*(5*z - 109)
Factor -l**3/2 - 61*l**2 + 759*l/2 - 576.
-(l - 3)**2*(l + 128)/2
Determine j so that -2*j**5 + 9*j**4 + 32*j**3 + 22*j**2 - 6*j - 7 = 0.
-1, 1/2, 7
Determine m, given that m**2/2 - 9*m + 81/2 = 0.
9
Let 3*r**2/7 + 135*r/7 + 258/7 = 0. What is r?
-43, -2
Find u, given that 5*u**3 - 50*u**2 - 5*u + 50 = 0.
-1, 1, 10
Suppose n**5/2 - 3*n**4/2 - 7*n**3 + 6*n**2 + 20*n = 0. What is n?
-2, 0, 2, 5
Solve -i**2/2 - 485*i/2 - 483 = 0 for i.
-483, -2
Suppose -2*j**5/15 + 16*j**4/15 - 8*j**3/15 - 32*j**2/3 + 128*j/15 + 512/15 = 0. What is j?
-2, 4
Factor -2*g**4/9 + 6*g**3.
-2*g**3*(g - 27)/9
Suppose -2*w**4 - 126*w**3 - 2080*w**2 - 600*w + 72000 = 0. What is w?
-30, -8, 5
Let o**2 + 23*o = 0. Calculate o.
-23, 0
Find m, given that -m**5/4 - 2*m**4 - 7*m**3/2 + 5*m**2 + 39*m/4 - 9 = 0.
-4, -3, 1
Suppose p**2/5 + 6*p - 35 = 0. Calculate p.
-35, 5
Solve 2*l**2/9 - 308*l/3 = 0.
0, 462
Let p**3/10 + 623*p**2/10 - 1249*p/10 + 125/2 = 0. Calculate p.
-625, 1
Find b, given that 4*b**2 - 96*b = 0.
0, 24
Determine g, given that 1225*g**2 + 280*g + 16 = 0.
-4/35
Factor -2*o**2/5 - 15*o - 37/5.
-(o + 37)*(2*o + 1)/5
Factor -o**2/3 + 95*o/3 + 32.
-(o - 96)*(o + 1)/3
Let -20*x**5 - 429*x**4 - 518*x**3 + 1329*x**2 + 1798*x + 360 = 0. What is x?
-20, -2, -1, -1/4, 9/5
Determine y so that 2*y**5 - 8*y**4 - 10*y**3 + 40*y**2 + 8*y - 32 = 0.
-2, -1, 1, 2, 4
Factor h**4/2 - 27*h**3/2 + 135*h**2/2 - 193*h/2 + 42.
(h - 21)*(h - 4)*(h - 1)**2/2
Let 2*p**5/7 - 20*p**4/7 + 48*p**3/7 + 20*p**2/7 - 50*p/7 = 0. Calculate p.
-1, 0, 1, 5
Factor -y**3/10 - 199*y**2/10 - 197*y/5.
-y*(y + 2)*(y + 197)/10
Factor -3*a**5 + 48*a**4 - 84*a**3.
-3*a**3*(a - 14)*(a - 2)
Suppose w**5/2 - 35*w**4/2 - 245*w**3/2 - 65*w**2/2 + 500*w - 328 = 0. What is w?
-4, 1, 41
Determine m, given that -5*m**3 - 75*m**2 + 2500 = 0.
-10, 5
Determine o, given that -4*o**5/3 - 50*o**4/3 - 128*o**3/3 - 4*o**2/3 + 44*o + 18 = 0.
-9, -3, -1, -1/2, 1
Solve -k**3/2 + 51*k**2 + 103*k/2 = 0 for k.
-1, 0, 103
Find c such that c**4/7 + 10*c**3/7 + 33*c**2/7 + 40*c/7 + 16/7 = 0.
-4, -1
Factor -2*z**3/9 + 32*z**2/9 - 32*z/3.
-2*z*(z - 12)*(z - 4)/9
Factor q**4/9 + 157*q**3/9 + 2131*q**2/3 + 18095*q/9 + 11858/9.
(q + 1)*(q + 2)*(q + 77)**2/9
Find m, given that -2*m**3/7 - 32*m**2/7 - 90*m/7 + 324/7 = 0.
-9, 2
Suppose 5*n**2 + 1700*n + 144500 = 0. Calculate n.
-170
Solve -s**5/2 - 5*s**4 - 18*s**3 - 27*s**2 - 27*s/2 = 0 for s.
-3, -1, 0
Factor 2*k**2 + 38*k - 84.
2*(k - 2)*(k + 21)
Let -m**5/2 - m**4/2 + m**3 = 0. What is m?
-2, 0, 1
Factor -q**3/2 + 27*q/2 - 27.
-(q - 3)**2*(q + 6)/2
Factor -45*c**4 - 615*c**3 - 2375*c**2 - 1805*c.
-5*c*(c + 1)*(3*c + 19)**2
Factor -5*z**2 - 185*z + 6090.
-5*(z - 21)*(z + 58)
Factor 5*r**2 - 19*r/3 + 4/3.
(r - 1)*(15*r - 4)/3
Suppose m**3/3 - 19*m/3 + 10 = 0. Calculate m.
-5, 2, 3
Solve -2*t**3/5 + 2322*t**2/5 - 672798*t/5 - 675122/5 = 0.
-1, 581
Solve k**2/4 + 499*k/2 + 997/4 = 0 for k.
-997, -1
Factor 4*p**5 - 32*p**4 + 88*p**3 - 96*p**2 + 36*p.
4*p*(p - 3)**2*(p - 1)**2
Factor -q**3/2 - q**2 + 2*q + 4.
-(q - 2)*(q + 2)**2/2
Determine x so that 2*x**3/3 - 112*x**2/3 + 1450*x/3 + 3364/3 = 0.
-2, 29
Determine l so that -3*l**2 - 66*l - 288 = 0.
-16, -6
Factor 45*p**4 - 190*p**3 - 1985*p**2 + 450*p.
5*p*(p - 9)*(p + 5)*(9*p - 2)
Factor 2*w**5/5 + 4*w**4/5 - 12*w**3/5 - 8*w**2/5 + 26*w/5 - 12/5.
2*(w - 1)**3*(w + 2)*(w + 3)/5
Factor 4*m**3 - 1300*m**2 + 104972*m + 106276.
4*(m - 163)**2*(m + 1)
Solve -5*c**2 - 1450*c - 105125 = 0.
-145
Factor -2*m**5/7 + 8*m**3/7.
-2*m**3*(m - 2)*(m + 2)/7
Find o such that -5*o**3 - 85*o**2 + 4390*o - 8400 = 0.
-40, 2, 21
Factor -2*m**3/9 - 4*m**2/9 + 10*m/9 + 4/3.
-2*(m - 2)*(m + 1)*(m + 3)/9
Solve 5*i**2 + 35*i = 0.
-7, 0
Determine c, given that 2*c**2/9 - 1258*c/9 - 140 = 0.
-1, 630
Factor 2*i**2/19 + 498*i/19.
2*i*(i + 249)/19
Factor -3*q**4 - 90*q**3 - 276*q**2 + 7560*q + 15552.
-3*(q - 8)*(q + 2)*(q + 18)**2
Suppose -2*n**2/7 - 3744*n/7 - 1752192/7 = 0. Calculate n.
-936
Suppose -2*x**2 + 482*x - 480 = 0. Calculate x.
1, 240
Find q, given that 5*q**4 - 10*q**3 - 35*q**2 + 100*q - 60 = 0.
-3, 1, 2
Let 4*b**2/5 - 10892*b/5 = 0. Calculate b.
0, 2723
Determine z, given that 2*z**5 + 722*z**4 + 65520*z**3 + 64800*z**2 = 0.
-180, -1, 0
Determine b, given that -4*b**5 + 60*b**4 - 72*b**3 - 1512*b**2 + 972*b + 8748 = 0.
-3, 3, 9
Find h such that 4*h**3 + 2028*h**2 + 258060*h + 256036 = 0.
-253, -1
Let -t**2/3 + 4*t - 12 = 0. Calculate t.
6
Determine j, given that -2*j**4/3 - 4*j**3/3 + 2*j**2 = 0.
-3, 0, 1
Let n**5 - 959*n**4 + 307198*n**3 - 33073282*n**2 + 65228801*n - 32461759 = 0. What is n?
1, 319
Factor -4*x**3 + 31620*x**2 - 62473212*x - 62504836.
-4*(x - 3953)**2*(x + 1)
Find m such that m**3 - 826*m**2 + 171392*m - 339488 = 0.
2, 412
Factor 3*t**2/5 - 156*t/5 + 1056/5.
3*(t - 44)*(t - 8)/5
Suppose 2*j**2 + 3292*j - 6592 = 0. Calculate j.
-1648, 2
Let -a**2 + 92*a - 2116 = 0. Calculate a.
46
Factor 2*s**2/3 - 856*s + 274776.
2*(s - 642)**2/3
Solve -3*p**2/2 + 51*p/2 - 45 = 0.
2, 15
Solve 1600*a**5/3 + 1360*a**4/3 - 3575*a**3/3 + 335*a**2/3 + 260*a/3 + 20/3 = 0 for a.
-2, -1/8, 2/5, 1
Factor 5*r**2 - 40*r - 45.
5*(r - 9)*(r + 1)
Factor -3*b**3/7 - 50*b**2/7 - 116*b/7 - 8.
-(b + 2)*(b + 14)*(3*b + 2)/7
Factor z**2/3 + 92*z/3 + 2116/3.
(z + 46)**2/3
Factor 65*s**2 - 1810*s - 280.
5*(s - 28)*(13*s + 2)
Find g, given that g**4 + 49*g**3 + 141*g**2 + 139*g + 46 = 0.
-46, -1
Let -12*p**3 - 21516*p**2 + 21525*p - 5382 = 0. What is p?
-1794, 1/2
Let 3*f**3/2 + 57*f**2/2 + 27*f = 0. What is f?
-18, -1, 0
Factor -2*r**2/5 + 136*r/5.
-2*r*(r - 68)/5
Solve -2*h**2/3 + 176*h/3 - 3872/3 = 0.
44
Factor 3*b**2 + 15*b + 12.
3*(b + 1)*(b + 4)
Let -2*f**4/3 - 18*f**3 + 116*f**2/3 = 0. Calculate f.
-29, 0, 2
Determine z, given that -z**3/7 + 24*z**2/7 - 171*z/7 + 324/7 = 0.
3, 9, 12
Let 2*k**4 - 16*k**3 + 44*k**2 - 48*k + 18 = 0. What is k?
1, 3
Let -3*q**4/2 + 39*q**3/2 - 141*q**2/2 + 177*q/2 - 36 = 0. Calculate q.
1, 3, 8
Factor -y**2/3 - 79*y/3 - 154/3.
-(y + 2)*(y + 77)/3
Let -4*l**3 + 1236*l**2 - 3680*l + 2448 = 0. Calculate l.
1, 2, 306
Factor 3*n**2/8 - 135*n/8 + 75.
3*(n - 40)*(n - 5)/8
Suppose 44*t**2 + 212*t - 40 = 0. Calculate t.
-5, 2/11
Factor -j**4 - 9*j**3 - 14*j**2 + 24*j.
-j*(j - 1)*(j + 4)*(j + 6)
Let 2*z**3/7 - 36*z**2/7 + 162*z/7 = 0. Calculate z.
0, 9
Suppose -2*k**5/19 + 16*k**4/19 + 40*k**3/19 + 4*k**2/19 - 2*k - 