6/7 = 0. What is k?
1, 6, 61
Factor -6193536*k**2 + 6096*k - 3/2.
-3*(2032*k - 1)**2/2
Solve 2*z**3/7 - 110*z**2/7 + 212*z/7 = 0 for z.
0, 2, 53
Solve -s**5/3 - 5*s**4/3 - 7*s**3/3 + s**2/3 + 8*s/3 + 4/3 = 0 for s.
-2, -1, 1
Factor 4*d**4/7 + 44*d**3/7 + 104*d**2/7 + 64*d/7.
4*d*(d + 1)*(d + 2)*(d + 8)/7
Factor -3*q**2/7 + 180*q/7 + 183/7.
-3*(q - 61)*(q + 1)/7
Factor -2*q**3/11 - 182*q**2/11.
-2*q**2*(q + 91)/11
Solve 2*a**5 - 74*a**4 - 1018*a**3 - 1806*a**2 - 864*a = 0 for a.
-9, -1, 0, 48
Factor -4*a**3 + 388*a**2 - 9600*a + 9216.
-4*(a - 48)**2*(a - 1)
Determine a so that a**2/2 - 34*a + 1075/2 = 0.
25, 43
Find z, given that 8464*z**2/5 - 368*z/5 + 4/5 = 0.
1/46
Factor 2*n**2/15 + 184*n/15.
2*n*(n + 92)/15
Determine h, given that -18*h**4/7 + 66*h**3 - 1130*h**2/7 + 86*h - 92/7 = 0.
1/3, 2, 23
Factor -3*w**2 - 156*w + 324.
-3*(w - 2)*(w + 54)
Suppose -8*t**4 - 14*t**3 + 42*t**2 + 36*t = 0. Calculate t.
-3, -3/4, 0, 2
Let -3*l**3 - 51*l**2 - 42*l + 96 = 0. Calculate l.
-16, -2, 1
Factor 4*r**2 + 3928*r + 11748.
4*(r + 3)*(r + 979)
Factor 700*q**3 - 1144*q**2 - 496*q - 32.
4*(q - 2)*(7*q + 2)*(25*q + 2)
Let -d**2/5 - 14*d/5 - 49/5 = 0. What is d?
-7
Solve 2*s**4/7 + 16*s**3/7 + 8*s**2/7 - 96*s/7 = 0 for s.
-6, -4, 0, 2
Factor 5*u**2 + 90*u - 875.
5*(u - 7)*(u + 25)
Solve -2*y**5/13 + 20*y**3/13 - 18*y/13 = 0.
-3, -1, 0, 1, 3
Determine h so that 338*h**4/15 + 125164*h**3/15 + 38488*h**2/15 + 592*h/3 = 0.
-370, -2/13, 0
Let -3*y**2 - 93*y = 0. What is y?
-31, 0
Factor -j**3/2 + 51*j**2/2 - 117*j + 92.
-(j - 46)*(j - 4)*(j - 1)/2
Factor -5*k**3 + 10*k**2 + 5*k - 10.
-5*(k - 2)*(k - 1)*(k + 1)
Determine s so that 28*s**4/3 + 316*s**3/3 - 344*s**2 + 464*s/3 + 224/3 = 0.
-14, -2/7, 1, 2
Factor -3*w**3/5 - 627*w**2/5 + 1266*w/5.
-3*w*(w - 2)*(w + 211)/5
Factor 20*l**3 - 65*l**2 + 50*l.
5*l*(l - 2)*(4*l - 5)
Factor -s**3/5 - 322*s**2/5 - 641*s/5 - 64.
-(s + 1)**2*(s + 320)/5
What is y in 4*y**3/3 - 12*y**2 - 88*y/3 = 0?
-2, 0, 11
Factor -t**4 + 3*t**3 + 10*t**2 - 24*t.
-t*(t - 4)*(t - 2)*(t + 3)
Factor -5*a**3/2 + 2385*a**2/2 - 379215*a/2 + 20098395/2.
-5*(a - 159)**3/2
Solve 5*f**5 + 310*f**4 + 4480*f**3 - 10240*f**2 = 0.
-32, 0, 2
Factor -u**2 - 710*u - 126025.
-(u + 355)**2
Suppose -8*y**5/17 - 70*y**4/17 - 86*y**3/17 + 98*y**2/17 + 94*y/17 - 28/17 = 0. Calculate y.
-7, -2, -1, 1/4, 1
Factor u**3/2 - 21*u**2 + 198*u + 484.
(u - 22)**2*(u + 2)/2
Let 3*z**5 - 51*z**4 + 273*z**3 - 429*z**2 - 168*z + 588 = 0. What is z?
-1, 2, 7
Let -21*v**2 - 498*v + 144 = 0. What is v?
-24, 2/7
Factor 4*o**3 - 88*o**2 + 540*o - 936.
4*(o - 13)*(o - 6)*(o - 3)
What is z in 44*z**5/3 + 4*z**4/3 - 176*z**3/3 - 16*z**2/3 = 0?
-2, -1/11, 0, 2
Factor 6*q**2/5 - 30*q.
6*q*(q - 25)/5
Factor 2048*w**4 + 82816*w**3 + 855138*w**2 + 362320*w + 39200.
2*(w + 20)**2*(32*w + 7)**2
Factor -3*z**2 + 27*z - 24.
-3*(z - 8)*(z - 1)
Find n, given that 2*n**3 + 58*n**2 - 668*n + 608 = 0.
-38, 1, 8
Factor 3*j**2 - 57*j - 60.
3*(j - 20)*(j + 1)
Factor v**4 + 40*v**3 + 524*v**2 + 2432*v + 3072.
(v + 2)*(v + 6)*(v + 16)**2
Let -d**5 - 21*d**4 - 20*d**3 = 0. Calculate d.
-20, -1, 0
Suppose 4*g**2 + 456*g - 460 = 0. Calculate g.
-115, 1
Factor 3*q**3 - 135*q**2 - 444*q + 576.
3*(q - 48)*(q - 1)*(q + 4)
Let -p**2/2 + 439*p/2 + 220 = 0. Calculate p.
-1, 440
Factor 4*r**4 + 364*r**3 + 1068*r**2 + 1060*r + 352.
4*(r + 1)**3*(r + 88)
Suppose -54*l**5/13 + 6588*l**4/13 - 13032*l**3/13 + 8656*l**2/13 - 1920*l/13 = 0. Calculate l.
0, 2/3, 120
Factor 2*c**3 + 62*c**2.
2*c**2*(c + 31)
Determine u so that -12*u**2 - 596*u + 816 = 0.
-51, 4/3
Find u, given that u**4/9 - 11*u**3/9 + 8*u**2/3 + 4*u/9 - 32/9 = 0.
-1, 2, 8
Determine v so that 2*v**4/11 - 20*v**3/11 + 58*v**2/11 - 40*v/11 = 0.
0, 1, 4, 5
Factor -75*q**3/2 - 260*q**2 - 703*q/2 + 361.
-(3*q - 2)*(5*q + 19)**2/2
Determine o so that 2*o**2/13 - 150*o/13 - 1148/13 = 0.
-7, 82
Factor -3*k**3 - 39*k**2 + 144*k.
-3*k*(k - 3)*(k + 16)
Factor -j**2/3 - 3988*j/3 - 3976036/3.
-(j + 1994)**2/3
Determine l, given that -2*l**4/11 + 28*l**3/11 + 18*l**2/11 - 252*l/11 = 0.
-3, 0, 3, 14
Determine j, given that 3*j**2 + 24*j + 45 = 0.
-5, -3
Factor 3*l**5/7 - 18*l**4/7 - 48*l**3/7 - 6*l**2/7 + 45*l/7 + 24/7.
3*(l - 8)*(l - 1)*(l + 1)**3/7
Find x such that -3*x**5 + 33*x**4 - 63*x**3 - 105*x**2 + 282*x - 144 = 0.
-2, 1, 3, 8
Factor -16*z**3 + 596*z**2 + 4780*z - 1232.
-4*(z - 44)*(z + 7)*(4*z - 1)
Factor -i**3/6 + 5*i**2/3.
-i**2*(i - 10)/6
Suppose -2*h**3 - 34*h**2 + 74*h - 38 = 0. Calculate h.
-19, 1
Solve 170*s**3/7 - 1186*s**2/7 - 4*s = 0.
-2/85, 0, 7
Let -4*v**5 + 7*v**4 - 2*v**3 - v**2 = 0. Calculate v.
-1/4, 0, 1
Find x such that x**2 - 688*x - 689 = 0.
-1, 689
Factor 2*j**3/7 - 88*j**2/7 + 326*j/7 - 240/7.
2*(j - 40)*(j - 3)*(j - 1)/7
Determine s, given that 2*s**5/3 - 10*s**4/3 + 4*s**3/3 + 16*s**2/3 = 0.
-1, 0, 2, 4
Factor 2*r**5 + 100*r**4 + 1346*r**3 + 2400*r**2 + 1152*r.
2*r*(r + 1)**2*(r + 24)**2
Factor -m**2 + m + 12.
-(m - 4)*(m + 3)
Factor -3*w**4 + 1824*w**3 - 372654*w**2 + 26179848*w - 121809015.
-3*(w - 201)**3*(w - 5)
Find c, given that 50*c**3 + 3090*c**2 - 3762*c + 1134 = 0.
-63, 3/5
Factor -3*g**3 - 78*g**2 - 144*g.
-3*g*(g + 2)*(g + 24)
What is z in 5*z**2/2 = 0?
0
Factor 2*c**3/3 + 8*c**2/3 - 8*c/3 - 32/3.
2*(c - 2)*(c + 2)*(c + 4)/3
Suppose -2*d**5/3 + 311*d**4/3 - 256*d**3 + 458*d**2/3 + 154*d/3 - 51 = 0. Calculate d.
-1/2, 1, 153
Find t such that 6*t**5 - 125*t**4/6 + 17*t**3/6 + 119*t**2/6 - 53*t/6 + 1 = 0.
-1, 2/9, 1/4, 1, 3
Find c, given that c**4/4 - 9*c**3/2 + 45*c**2/4 = 0.
0, 3, 15
Factor -5*n**2 - 6050*n - 1830125.
-5*(n + 605)**2
Factor 5*c**3 - 2695*c**2 + 2690*c.
5*c*(c - 538)*(c - 1)
Factor 2*y**4 - 54*y**3 + 470*y**2 - 1386*y + 968.
2*(y - 11)**2*(y - 4)*(y - 1)
Suppose 5*t**3 + 20*t**2 - 35*t - 50 = 0. What is t?
-5, -1, 2
Factor -b**2/7 + 38*b/7 - 15.
-(b - 35)*(b - 3)/7
Find t, given that -t**4/6 + 4*t**3/3 - t**2 - 4*t/3 + 7/6 = 0.
-1, 1, 7
Suppose 2*q**2/3 - 388*q/3 + 992 = 0. Calculate q.
8, 186
Factor -2*o**3/5 - 8*o**2 - 106*o/5 - 68/5.
-2*(o + 1)*(o + 2)*(o + 17)/5
Suppose -h**2 - 30*h + 400 = 0. What is h?
-40, 10
Factor -q**3 + 228*q**2 - 12996*q.
-q*(q - 114)**2
Factor 4*r**4/7 + 12*r**3/7 - 36*r**2 - 1420*r/7 - 1800/7.
4*(r - 9)*(r + 2)*(r + 5)**2/7
Suppose 2*b**4 - 224*b**3 + 6490*b**2 - 12100*b = 0. What is b?
0, 2, 55
Factor -3*g**3/4 - 21*g**2/2 - 171*g/4 - 54.
-3*(g + 3)**2*(g + 8)/4
Solve 4*p**2 - 28*p - 1800 = 0 for p.
-18, 25
Factor -5*g**2 + g/3 + 14/3.
-(g - 1)*(15*g + 14)/3
Solve 4*d**5 - 468*d**4 + 14364*d**3 - 38972*d**2 - 1824*d + 51984 = 0.
-1, 2, 57
Factor a**2 + 63*a - 64.
(a - 1)*(a + 64)
Let 5*b**4 + 215*b**3 + 985*b**2 + 1345*b + 570 = 0. Calculate b.
-38, -3, -1
Factor -p**3 - 8*p**2 - 17*p - 10.
-(p + 1)*(p + 2)*(p + 5)
Factor -4*s**2/9 + 22328*s/9 - 31158724/9.
-4*(s - 2791)**2/9
Let -35*d**3 - 45*d**2 + 200*d + 60 = 0. What is d?
-3, -2/7, 2
Solve 2*o**2 + 46*o + 120 = 0 for o.
-20, -3
Determine z so that 30*z**5/11 + 302*z**4/11 - 674*z**3/11 + 274*z**2/11 + 116*z/11 - 48/11 = 0.
-12, -2/5, 1/3, 1
Factor -2*c**4/5 - 2*c**3 + 28*c**2/5.
-2*c**2*(c - 2)*(c + 7)/5
Factor -2*b**3/7 - 30*b**2/7 - 76*b/7 - 48/7.
-2*(b + 1)*(b + 2)*(b + 12)/7
Factor 2*k**3/7 - 604*k**2/7 - 610*k/7 + 1212/7.
2*(k - 303)*(k - 1)*(k + 2)/7
Find i such that 15*i**2 + 6258*i + 1251 = 0.
-417, -1/5
Factor -52*n**2 + 60*n - 8.
-4*(n - 1)*(13*n - 2)
Factor 4*l**5 - 12*l**4 - 40*l**3.
4*l**3*(l - 5)*(l + 2)
Suppose -u**5 + 5*u**4 - 8*u**3 + 4*u**2 = 0. What is u?
0, 1, 2
Let h**4 - 124*h**3 + 4398*h**2 - 33516*h + 29241 = 0. What is h?
1, 9, 57
Factor 4*h**3 + 2728*h**2 + 470532*h + 1838736.
4*(h + 4)*(h + 339)**2
What is m in -2*m**3/5 + 184*m**2/5 + 374*m/5 + 188/5 = 0?
-1, 94
Factor -j**4/2 + 21*j**3 - 517*j**2/2 + 798*j - 722.
-(j - 19)**2*(j - 2)**2/2
What is v in -v**3 - 12*v**2 - 41*v - 30 = 0?
-6, -5, -1
Suppose -4*d**4 - 92*d**3 + 932*d**2 - 1860*d = 0. What is d?
-31, 0, 3, 5
Solve -v**5/3 + 2*v**4/3 + 4*v**3/3 - 2*v**2/3 - v = 0.
-1, 0, 1, 3
Determine d, given that -d**5 - d**4 + 70*d**3 + 100*d**2 - 744*d + 576 = 0.
-6, 1, 2, 8
Factor -y**4/2 + 9*y**3/2 + 15*y**2/2 - 53*y/2 + 15.
-(y - 10)*(y - 1)**2*(y + 3)/2
Find z, given that -5*z**2 - 10*z + 120 = 0.
-6, 4
Solve 5*k**4 + 15*k**3 - 10*k**2 - 60*k