**2 = 0.
-2/37, 0, 1, 9
Factor l**4 + 9*l**3 + 18*l**2 - 4*l - 24.
(l - 1)*(l + 2)**2*(l + 6)
Find m such that -52*m**3 + 148*m**2 - 80*m - 16 = 0.
-2/13, 1, 2
Determine r, given that -2*r**4/15 - 2*r**3/5 + 38*r**2/3 + 266*r/5 - 196/3 = 0.
-7, 1, 10
Suppose -2*d**4/9 - 76*d**3/9 = 0. Calculate d.
-38, 0
Factor i**3/7 - 62*i**2/7 + 279*i/7 + 342/7.
(i - 57)*(i - 6)*(i + 1)/7
Factor 17*t**2/3 - 80*t/3 + 16.
(t - 4)*(17*t - 12)/3
Let n**2/4 - 111*n/4 + 107 = 0. Calculate n.
4, 107
Solve -15*l**3 - 110*l**2 - 125*l - 30 = 0.
-6, -1, -1/3
Factor 2*x**2/5 + 2832*x + 5012640.
2*(x + 3540)**2/5
Factor -a**2/4 + 969*a - 938961.
-(a - 1938)**2/4
Factor 2*m**2 + 176*m + 510.
2*(m + 3)*(m + 85)
Let -4*f**2 + 8568*f - 8564 = 0. Calculate f.
1, 2141
Factor 4*x**5/7 - 40*x**4/7 + 48*x**3/7 + 288*x**2/7.
4*x**2*(x - 6)**2*(x + 2)/7
Determine y, given that 2*y**2/13 - 48*y/13 - 8 = 0.
-2, 26
Suppose -c**4/2 + 37*c**3/2 - 141*c**2 - 560*c - 400 = 0. Calculate c.
-2, -1, 20
Let -6*b**2/11 - 102*b/11 - 252/11 = 0. What is b?
-14, -3
Suppose -4*f**3 - 516*f**2 - 512*f = 0. What is f?
-128, -1, 0
Factor -84*h**2 - 332*h + 16.
-4*(h + 4)*(21*h - 1)
Factor t**5/4 + 21*t**4/2 + 170*t**3 + 1300*t**2 + 4500*t + 5000.
(t + 2)*(t + 10)**4/4
Find u, given that -2*u**3/11 - 10*u**2/11 + 112*u/11 + 120/11 = 0.
-10, -1, 6
Solve -3*m**3 + 267*m**2 - 780*m + 516 = 0.
1, 2, 86
Factor -5*x**4 + 15*x**3 - 5*x**2 - 15*x + 10.
-5*(x - 2)*(x - 1)**2*(x + 1)
Factor -36*p**3 + 53*p**2 + 179*p - 42.
-(p - 3)*(4*p + 7)*(9*p - 2)
Solve -15*v**5 - 44*v**4 + 60*v**3 - 16*v**2 = 0 for v.
-4, 0, 2/5, 2/3
Solve -4*t**5/3 + 200*t**4/3 + 208*t**3/3 - 200*t**2/3 - 68*t = 0 for t.
-1, 0, 1, 51
Let 11*q**3/3 - 31*q**2/3 - 76*q/3 + 32 = 0. Calculate q.
-24/11, 1, 4
Factor 3*g**5 - 21*g**4 + 42*g**3 - 24*g**2.
3*g**2*(g - 4)*(g - 2)*(g - 1)
Factor 25*w**2 - 4015*w - 1610.
5*(w - 161)*(5*w + 2)
Factor 2*o**3/11 + 84*o**2/11 + 304*o/11.
2*o*(o + 4)*(o + 38)/11
What is s in -25*s**5 + 85*s**4 - 80*s**3 + 20*s**2 = 0?
0, 2/5, 1, 2
Let 2*v**3 - 128*v**2 + 232*v + 992 = 0. Calculate v.
-2, 4, 62
Suppose 4*r**4/5 + 92*r**3/5 - 304*r**2/5 + 208*r/5 = 0. What is r?
-26, 0, 1, 2
Factor 25*p**2 - 190*p - 315.
5*(p - 9)*(5*p + 7)
Factor -5*o**3 + 12372*o**2 - 7655793*o + 3060338.
-(o - 1237)**2*(5*o - 2)
Factor -3*l**2/8 - 3*l/2 + 63/8.
-3*(l - 3)*(l + 7)/8
Determine o, given that 4*o**3 + 87*o**2 + 62*o - 21 = 0.
-21, -1, 1/4
Find s, given that s**2/4 - 37*s/4 = 0.
0, 37
Solve -2*p**3 + 28*p**2 - 96*p = 0 for p.
0, 6, 8
Determine t, given that 2*t**5 - 20*t**4 - 2*t**3 + 20*t**2 = 0.
-1, 0, 1, 10
Factor -5*c**4 - 3090*c**3.
-5*c**3*(c + 618)
Factor 4*u**3 + 40*u**2 - 44*u.
4*u*(u - 1)*(u + 11)
Determine t, given that 4*t**3 + 4*t**2 - 32*t - 48 = 0.
-2, 3
Factor 3*t**3/4 + 183*t**2/4 - 375*t/4 + 189/4.
3*(t - 1)**2*(t + 63)/4
Suppose -11*i**2/3 + 38*i/3 + 8 = 0. Calculate i.
-6/11, 4
Factor 2*d**4 + 106*d**3 + 402*d**2 + 494*d + 196.
2*(d + 1)**2*(d + 2)*(d + 49)
Factor -20*f**3 + 104*f**2 - 140*f + 24.
-4*(f - 3)*(f - 2)*(5*f - 1)
Determine g, given that g**3/9 - 25*g**2/9 + 56*g/3 - 16 = 0.
1, 12
Factor i**3/5 - 1022*i**2/5 + 258028*i/5 + 1585176/5.
(i - 514)**2*(i + 6)/5
Solve -90*t**5/7 + 6*t**4 + 132*t**3/7 - 36*t**2/7 - 6*t - 6/7 = 0 for t.
-1, -1/3, -1/5, 1
Factor -2*y**2/9 + 16*y/9 - 32/9.
-2*(y - 4)**2/9
Factor -2*z**3 - 2*z**2 + 148*z + 288.
-2*(z - 9)*(z + 2)*(z + 8)
Suppose 8*v**3/5 - 2*v**2 + 2*v/5 = 0. Calculate v.
0, 1/4, 1
Factor -l**5/2 - 2*l**4 - 5*l**3/2 - l**2.
-l**2*(l + 1)**2*(l + 2)/2
Determine j, given that j**3/4 + 24*j**2 + 185*j/4 - 141/2 = 0.
-94, -3, 1
Find y, given that -5*y**3 + 595*y**2 + 4380*y + 3780 = 0.
-6, -1, 126
Factor -k**3/4 - 7*k**2/2 + 8*k.
-k*(k - 2)*(k + 16)/4
Let 2*j**5/7 - 34*j**4/7 - 2*j**3/7 + 34*j**2/7 = 0. What is j?
-1, 0, 1, 17
Factor d**3/9 - 178*d**2/9 + 2755*d/3 - 3364.
(d - 87)**2*(d - 4)/9
Factor -2*a**4/3 - 154*a**3/9 + 52*a**2/9.
-2*a**2*(a + 26)*(3*a - 1)/9
Find t such that 2*t**5/5 - 16*t**4/5 + 36*t**3/5 - 32*t**2/5 + 2*t = 0.
0, 1, 5
Factor -p**2/4 - 4*p.
-p*(p + 16)/4
Suppose -48*n**4/5 + 312*n**3/5 + 549*n**2/5 + 213*n/5 + 24/5 = 0. What is n?
-1, -1/4, 8
Factor f**2/10 + 307*f/10 - 156.
(f - 5)*(f + 312)/10
What is f in 4*f**5 + 128*f**4 - 428*f**3 - 232*f**2 + 1648*f - 1120 = 0?
-35, -2, 1, 2
Let -2*b**2/3 + 20*b = 0. What is b?
0, 30
Determine o so that o**3 - 70*o**2 + 264*o = 0.
0, 4, 66
Find i, given that 2*i**5 + 22*i**4 + 38*i**3 + 18*i**2 = 0.
-9, -1, 0
Factor w**5/4 - w**4/2 - 3*w**3/4 + 2*w**2 - w.
w*(w - 2)*(w - 1)**2*(w + 2)/4
Factor 324*z**4/5 - 360*z**3 + 3652*z**2/5 - 640*z + 1024/5.
4*(z - 1)**2*(9*z - 16)**2/5
Factor 16*p**2 - 636*p + 1764.
4*(p - 3)*(4*p - 147)
Find g such that -3*g**3/4 + 1053*g**2/4 - 22968*g - 23232 = 0.
-1, 176
Factor v**3/3 - 53*v**2 - 322*v/3.
v*(v - 161)*(v + 2)/3
Let x**5 + 41*x**4 + 573*x**3 + 3047*x**2 + 4114*x = 0. Calculate x.
-17, -11, -2, 0
Let -4*u**2/3 - 2704*u/3 - 456976/3 = 0. What is u?
-338
Find q, given that -4*q**3/5 - 2138*q**2/5 - 1068*q/5 = 0.
-534, -1/2, 0
Solve -5*x**4 + 47120*x**3 - 166522080*x**2 + 261550680320*x - 154053350708480 = 0.
2356
Factor -2*o**2/7 - 474*o/7.
-2*o*(o + 237)/7
Determine f, given that 2*f**5 + 10*f**4 - 18*f**3 - 34*f**2 + 16*f + 24 = 0.
-6, -1, 1, 2
Factor 2*x**4 - 456*x**3 + 24072*x**2 + 222784*x.
2*x*(x - 118)**2*(x + 8)
Suppose 3*x**3/2 + 65*x**2/2 - 91*x/2 + 23/2 = 0. What is x?
-23, 1/3, 1
Solve -c**2/5 - 111*c/5 + 112/5 = 0 for c.
-112, 1
Suppose -v**5/5 + 2*v**4 - 24*v**3/5 - 2*v**2 + 5*v = 0. Calculate v.
-1, 0, 1, 5
Determine l, given that -3*l**5/5 + 121*l**4/5 - 1114*l**3/5 - 2162*l**2/5 - 483*l/5 + 441/5 = 0.
-1, 1/3, 21
Factor k**5/9 - 17*k**4/9 - 2*k**3.
k**3*(k - 18)*(k + 1)/9
Factor -4*b**2 + 11744*b - 8620096.
-4*(b - 1468)**2
Factor 30*c**3 + 115*c**2 + 100*c - 20.
5*(c + 2)**2*(6*c - 1)
Factor 3*x**5 + 6*x**4 - 57*x**3 + 84*x**2 - 36*x.
3*x*(x - 2)*(x - 1)**2*(x + 6)
Suppose 2*x**2/7 + 356*x/7 + 15842/7 = 0. Calculate x.
-89
Factor 2*b**5/5 - 18*b**4/5 + 36*b**3/5.
2*b**3*(b - 6)*(b - 3)/5
Suppose 3*a**5 + 48*a**4 + 222*a**3 + 276*a**2 - 225*a - 324 = 0. What is a?
-9, -4, -3, -1, 1
Solve -2*i**2 - 26*i + 60 = 0.
-15, 2
Factor -x**3 + 164*x**2.
-x**2*(x - 164)
What is i in 92*i**3 - 4*i**2 = 0?
0, 1/23
Solve 4*z**2 + 32*z - 80 = 0 for z.
-10, 2
Find u such that 3*u**3 + 282*u**2 - 573*u + 288 = 0.
-96, 1
Factor -4*d**5 - 32*d**4 - 48*d**3 + 8*d**2 + 52*d + 24.
-4*(d - 1)*(d + 1)**3*(d + 6)
Factor n**4/10 - 169*n**3/5 - 102*n**2 - 511*n/5 - 341/10.
(n - 341)*(n + 1)**3/10
Determine r so that 2*r**4/3 - 4*r**3 - 46*r**2/3 + 40*r - 64/3 = 0.
-4, 1, 8
Find b such that -4*b**5/7 + 264*b**4/7 + 24*b**3/7 - 1552*b**2/7 - 300*b - 792/7 = 0.
-1, 3, 66
Determine x so that 3*x**4/4 - 3*x**3/4 - 27*x**2/4 - 33*x/4 - 3 = 0.
-1, 4
Determine t, given that 21*t**4 + 3501*t**3 + 140013*t**2 - 495465*t + 130050 = 0.
-85, 2/7, 3
Factor j**5 - 7*j**3 - 2*j**2 + 12*j + 8.
(j - 2)**2*(j + 1)**2*(j + 2)
Factor -3*d**3 + 45*d**2 - 144*d + 132.
-3*(d - 11)*(d - 2)**2
Let 54*a**5 - 216*a**4 + 126*a**3 + 164*a**2 + 32*a = 0. Calculate a.
-1/3, 0, 2, 8/3
Find f such that -f**2/6 - 2*f/3 + 5/6 = 0.
-5, 1
Factor 2*v**3 + 6*v**2 + 6*v + 2.
2*(v + 1)**3
Factor g**2/4 - 55*g/4 - 126.
(g - 63)*(g + 8)/4
Factor -2*a**5/7 + 398*a**4/7 + 1206*a**3/7 + 1210*a**2/7 + 404*a/7.
-2*a*(a - 202)*(a + 1)**3/7
Factor h**4/9 + 11*h**3/9 + 11*h**2/3 + 5*h/9 - 50/9.
(h - 1)*(h + 2)*(h + 5)**2/9
Factor -2*t**5 - 14*t**4 - 22*t**3 - 10*t**2.
-2*t**2*(t + 1)**2*(t + 5)
Factor n**2 - 29*n - 1122.
(n - 51)*(n + 22)
Determine q so that q**5/3 + q**4/3 - q**3 - 5*q**2/3 - 2*q/3 = 0.
-1, 0, 2
Factor 5*a**3 + 70*a**2 - 480*a - 7200.
5*(a - 10)*(a + 12)**2
Suppose -v**4/4 + 3*v**3/2 - 9*v**2/4 = 0. Calculate v.
0, 3
Factor y**3/8 - 15*y**2/8 + 27*y/8 - 13/8.
(y - 13)*(y - 1)**2/8
Determine c, given that -2048*c**5 + 9344*c**4 - 13016*c**3 + 10971*c**2/2 - 918*c + 54 = 0.
3/16, 2
Solve u**2/5 + 3*u - 154/5 = 0 for u.
-22, 7
Solve -4*t**3 - 92*t**2 - 472*t - 384 = 0.
-16, -6, -1
Factor 2*y**5/13 + 274*y**4/13 + 9246*y**3/13 - 9522*y**2/13.
2*y**2*(y - 1)*(y + 69)**2/13
Factor 4*i**3/5 - 12*i**2/5 - 96*i/5 - 112/5.
4*(i - 7)*(i + 2)**2/5
Determine u so that 3*u**5 - 4*u**4 - 8*u**3 + 18*u**2 - 