*h - 2)
Determine b so that b**2/9 + 4*b/3 = 0.
-12, 0
Solve -3*l**5/4 + 99*l**4/4 + 327*l**3/4 - 99*l**2/4 - 81*l = 0 for l.
-3, -1, 0, 1, 36
Let 2*s**2/3 + 52*s/3 = 0. Calculate s.
-26, 0
Let -2*z**3 + 11*z**2 - 5*z = 0. Calculate z.
0, 1/2, 5
Factor -4*v**2/3 + 18*v - 26/3.
-2*(v - 13)*(2*v - 1)/3
Factor 1715*v**5/6 + 57330*v**4 + 5895225*v**3/2 + 7328655*v**2 + 6210270*v + 1764180.
5*(v + 99)**2*(7*v + 6)**3/6
Let -4*k**2 - 4*k = 0. Calculate k.
-1, 0
Suppose -60*b**5 - 21*b**4 + 18*b**3 = 0. Calculate b.
-3/4, 0, 2/5
Find u such that 3*u**2 - 8970*u + 6705075 = 0.
1495
Let -2*m**3 + 60*m**2 - 304*m + 384 = 0. What is m?
2, 4, 24
Factor c**3/5 - 36*c**2/5 + 7*c.
c*(c - 35)*(c - 1)/5
Find m such that 6*m**4/11 - 36*m**3/11 + 6*m**2/11 + 144*m/11 + 96/11 = 0.
-1, 4
Factor -6*r**2 - 227*r + 38.
-(r + 38)*(6*r - 1)
Factor -2*r**4 + 156*r**3 - 3040*r**2 - 156*r + 3042.
-2*(r - 39)**2*(r - 1)*(r + 1)
Let -4*p**3/7 + 16*p**2/7 + 12*p/7 - 72/7 = 0. What is p?
-2, 3
Let -57*j**2/7 + 3369*j/7 - 354/7 = 0. Calculate j.
2/19, 59
Factor -2*c**4/7 - 848*c**3/7 - 1690*c**2/7 - 844*c/7.
-2*c*(c + 1)**2*(c + 422)/7
Factor -5*l**2 - 955*l + 2910.
-5*(l - 3)*(l + 194)
Solve 15*q**5 - 295*q**4 + 605*q**3 + 1435*q**2 - 2660*q - 1020 = 0.
-2, -1/3, 2, 3, 17
Factor -2*g**3/17 + 18*g**2/17 - 22*g/17 - 42/17.
-2*(g - 7)*(g - 3)*(g + 1)/17
Factor -n**3/3 + 257*n**2/3.
-n**2*(n - 257)/3
Solve 490*r**2 + 505*r + 15 = 0 for r.
-1, -3/98
Find q such that -q**4/4 + 5*q**3/2 - 17*q**2/4 + 2*q = 0.
0, 1, 8
Factor 3*b**2/2 + 15*b/2 + 6.
3*(b + 1)*(b + 4)/2
Let 3*c**3 - 129*c**2 - 408*c - 276 = 0. Calculate c.
-2, -1, 46
What is t in 2*t**2 - 258*t - 260 = 0?
-1, 130
Factor 2*y**2/15 + 86*y/15 - 88/15.
2*(y - 1)*(y + 44)/15
Factor -3*b**2/8 - 15*b/8.
-3*b*(b + 5)/8
Suppose 5*j**4 - 1675*j**3 + 136020*j**2 + 715700*j + 578000 = 0. Calculate j.
-4, -1, 170
Factor -r**2/4 + 2554*r - 6522916.
-(r - 5108)**2/4
Solve 2*x**4/9 + 1352*x**3/9 - 1354*x**2/9 = 0.
-677, 0, 1
Factor -2*w**2 + 3730*w + 3732.
-2*(w - 1866)*(w + 1)
Factor 3*x**4 - 6*x**3 + 6*x - 3.
3*(x - 1)**3*(x + 1)
Factor -b**2/5 + 13*b/5 - 36/5.
-(b - 9)*(b - 4)/5
Factor -2*h**5/7 + 14*h**4 + 2882*h**3/7 + 17182*h**2/7.
-2*h**2*(h - 71)*(h + 11)**2/7
Determine n so that n**3 - 43*n**2 + 551*n - 1805 = 0.
5, 19
Let r**4/3 + 14*r**3/3 + 17*r**2 + 18*r = 0. Calculate r.
-9, -3, -2, 0
Factor 4*p**5 + 4*p**4 - 24*p**3 - 56*p**2 - 44*p - 12.
4*(p - 3)*(p + 1)**4
Factor -7*v**3/10 - 13*v**2/2 - 37*v/5 - 8/5.
-(v + 1)*(v + 8)*(7*v + 2)/10
Factor -2*v**3/7 - 22*v**2/7 + 24*v/7.
-2*v*(v - 1)*(v + 12)/7
What is n in -2*n**2/7 + 58*n/7 + 60 = 0?
-6, 35
Let 6*i**4 + 142*i**3 + 236*i**2/3 - 904*i/3 + 368/3 = 0. What is i?
-23, -2, 2/3
Find o such that 3*o**3/5 - 21*o**2/5 - 54*o/5 = 0.
-2, 0, 9
Factor 2*z**2/3 + 20*z - 62/3.
2*(z - 1)*(z + 31)/3
Factor q**5/6 + 2*q**4/3 - 13*q**3/6 - 20*q**2/3 + 8*q.
q*(q - 3)*(q - 1)*(q + 4)**2/6
Solve -5*f**5/2 + 15*f**3/2 + 5*f**2 = 0.
-1, 0, 2
What is z in -6*z**2 - 453*z - 666 = 0?
-74, -3/2
Find u, given that 5*u**5 + 25*u**4 - 15*u**3 - 85*u**2 - 50*u = 0.
-5, -1, 0, 2
Factor 20*d**4 - 136*d**3 + 212*d**2 + 48*d.
4*d*(d - 4)*(d - 3)*(5*d + 1)
Factor -2*p**3/9 - 406*p**2/9 - 20806*p/9 - 20402/9.
-2*(p + 1)*(p + 101)**2/9
Suppose 10*c**2/9 - 68*c/3 + 80/9 = 0. Calculate c.
2/5, 20
Factor -141*k**4/8 - 5493*k**3/8 - 71253*k**2/8 - 306735*k/8 + 6591/4.
-3*(k + 13)**3*(47*k - 2)/8
Factor g**3/2 + 15*g**2/2 + 47*g/2 + 33/2.
(g + 1)*(g + 3)*(g + 11)/2
Factor q**4 + 2*q**3 - 4*q**2 - 2*q + 3.
(q - 1)**2*(q + 1)*(q + 3)
Factor 4*h**3 - 904*h**2 - 1820*h - 912.
4*(h - 228)*(h + 1)**2
Factor 7*y**2 + 1339*y + 382.
(y + 191)*(7*y + 2)
Factor n**2/3 - 4376*n + 14362032.
(n - 6564)**2/3
Factor 4*t**2 - 24*t + 20.
4*(t - 5)*(t - 1)
Factor -3*j**3/8 - 69*j**2/4 - 429*j/2 - 363.
-3*(j + 2)*(j + 22)**2/8
Factor -z**2 + 17*z + 18.
-(z - 18)*(z + 1)
Let w**2/6 + 73*w/2 = 0. What is w?
-219, 0
Factor -2*u**2 + 58*u.
-2*u*(u - 29)
Let 3*o**5 - 1575*o**4 + 3138*o**3 + 6*o**2 - 3141*o + 1569 = 0. What is o?
-1, 1, 523
Determine p, given that 72*p**4 + 458*p**3 + 518*p**2 + 142*p + 10 = 0.
-5, -1, -1/4, -1/9
Factor -2*m**5 + 4*m**4 + 6*m**3.
-2*m**3*(m - 3)*(m + 1)
Solve -5*w**2 + 265*w = 0 for w.
0, 53
Factor -2*f**2/11 + 170*f/11 + 348/11.
-2*(f - 87)*(f + 2)/11
Factor -m**3/5 + 24*m**2/5 - 101*m/5 + 114/5.
-(m - 19)*(m - 3)*(m - 2)/5
Factor 8*q**5/9 + 14*q**4/3 + 26*q**3/3 + 62*q**2/9 + 2*q.
2*q*(q + 1)**3*(4*q + 9)/9
Factor g**2 + 16*g + 39.
(g + 3)*(g + 13)
Solve -f**5 - 9*f**4 - 14*f**3 + 56*f**2 + 96*f - 128 = 0 for f.
-4, 1, 2
Suppose -70227*o**3/7 + 29835*o**2 + 5496*o/7 + 36/7 = 0. Calculate o.
-2/153, 3
Suppose 10*h**5 + 222*h**4 - 1504*h**3 + 3256*h**2 - 2880*h + 896 = 0. Calculate h.
-28, 4/5, 1, 2
Find y such that -2*y**3/11 + 14*y**2/11 + 16*y/11 = 0.
-1, 0, 8
Suppose 4*t**2/5 + 188*t - 944/5 = 0. Calculate t.
-236, 1
Factor 8*h**3 + 84*h**2 - 44*h.
4*h*(h + 11)*(2*h - 1)
Factor 3*l**3 - 216*l**2 - 900*l - 912.
3*(l - 76)*(l + 2)**2
Solve 3*s**3 + 93*s**2 - 300*s + 204 = 0 for s.
-34, 1, 2
Let -2*l**2/15 - 434*l/15 - 568/5 = 0. Calculate l.
-213, -4
Let -4*f**3 - 596*f**2 - 21900*f + 22500 = 0. What is f?
-75, 1
Suppose 5*t**3 + 165*t**2 - 350*t = 0. What is t?
-35, 0, 2
Solve -4*w**3 - 348*w**2 - 344*w = 0 for w.
-86, -1, 0
Factor -4*v**2/3 - 18*v/5 + 6/5.
-2*(v + 3)*(10*v - 3)/15
Factor 10*t**3 + 1386*t**2 - 556*t.
2*t*(t + 139)*(5*t - 2)
Factor -49*t**4/3 + 70*t**3/3 + 52*t**2/3 + 8*t/3.
-t*(t - 2)*(7*t + 2)**2/3
Factor -x**3/2 - 22*x**2 - 82*x - 80.
-(x + 2)**2*(x + 40)/2
Factor -2*z**4/7 - 16*z**3/7 - 38*z**2/7 - 24*z/7.
-2*z*(z + 1)*(z + 3)*(z + 4)/7
Solve 3*i**5 + 57*i**4 + 291*i**3 + 183*i**2 - 294*i - 240 = 0 for i.
-10, -8, -1, 1
Find k such that 2*k**3/3 + 266*k**2/3 - 182*k - 270 = 0.
-135, -1, 3
Factor -x**2/11 + 602*x/11 + 603/11.
-(x - 603)*(x + 1)/11
Factor -2*p**3/7 - 386*p**2/7 - 384*p/7.
-2*p*(p + 1)*(p + 192)/7
Let 5*i**2 + 180*i = 0. What is i?
-36, 0
Find y such that -135*y**3 - 825*y**2 - 80*y + 60 = 0.
-6, -1/3, 2/9
Factor -2*w**2 + 602*w - 1196.
-2*(w - 299)*(w - 2)
Factor 2*d**3/9 + 52*d**2/9 + 22*d/3 - 80.
2*(d - 3)*(d + 5)*(d + 24)/9
Factor -42*q**2/5 + 38*q/5 + 4/5.
-2*(q - 1)*(21*q + 2)/5
Factor -4*h**4 + 12*h**3 - 4*h**2 - 12*h + 8.
-4*(h - 2)*(h - 1)**2*(h + 1)
Factor -81*q**2/7 - 75*q/7 + 6/7.
-3*(q + 1)*(27*q - 2)/7
Suppose -a**2/5 + 592*a/5 - 591/5 = 0. Calculate a.
1, 591
Determine j so that j**5/3 + 235*j**4/3 + 910*j**3 + 4050*j**2 + 8055*j + 6021 = 0.
-223, -3
Factor 3*t**2/2 + 96*t + 186.
3*(t + 2)*(t + 62)/2
Determine z so that -3*z**2/4 - 8511*z/2 - 24145707/4 = 0.
-2837
Factor b**2/2.
b**2/2
Suppose -20*r**2 - 68*r - 24 = 0. What is r?
-3, -2/5
Factor 13*l**2 - 17*l + 4.
(l - 1)*(13*l - 4)
Factor 9*n**3 - 33*n**2 + 39*n - 15.
3*(n - 1)**2*(3*n - 5)
Factor 4*t**3 - 86*t**2 - 56*t + 264.
2*(t - 22)*(t + 2)*(2*t - 3)
Factor f**5/5 + 6*f**4/5 + 3*f**3/5 - 2*f**2.
f**2*(f - 1)*(f + 2)*(f + 5)/5
Find c, given that -2*c**3/11 - 18*c**2/11 - 28*c/11 = 0.
-7, -2, 0
Determine r so that -2*r**2 + 100*r - 192 = 0.
2, 48
Solve 2*i**3 + 330*i**2 + 654*i + 326 = 0 for i.
-163, -1
Find r, given that -6*r**5/5 + 1116*r**4/5 - 52986*r**3/5 + 100452*r**2/5 + 52992*r/5 - 101568/5 = 0.
-1, 1, 2, 92
Let o**4/2 - 59*o**3/2 - 93*o**2 - 2*o + 124 = 0. Calculate o.
-2, 1, 62
Solve -4*w**5 + 12*w**4 - 12*w**3 + 4*w**2 = 0.
0, 1
What is k in -19*k**4 + 35*k**3 - 13*k**2 - 3*k = 0?
-3/19, 0, 1
Suppose -w**5/4 - 7*w**4/4 - 3*w**3 + w**2 + 4*w = 0. What is w?
-4, -2, 0, 1
Solve -18*i**5/7 + 69*i**4/7 - 60*i**3/7 - 12*i**2/7 = 0.
-1/6, 0, 2
Factor -12*w**2/7 - 190*w + 222/7.
-2*(w + 111)*(6*w - 1)/7
Determine z, given that -2*z**3/11 - 32*z**2/11 + 70*z/11 - 36/11 = 0.
-18, 1
Factor -4*f**3 + 7960*f**2 - 3960100*f.
-4*f*(f - 995)**2
Factor -6*y**3 + 202*y**2 + 72*y - 136.
-2*(y - 34)*(y + 1)*(3*y - 2)
Let -3*f**4 - 3*f**3 + 6*f**2 = 0. What is f?
-2, 0, 1
Determine l so that 28*l**5/5 - 76*l**4/5 - 108*l**3/5 + 284*l**2/5 - 16*l - 48/5 = 0.
-2, -2/7, 1, 3
Factor 5*q**2 + 22585*q.
5*q*(q + 4517)
Suppose -5*k**2 + 2310*k = 0. Calculate k.
0, 462
Determine v so that v**3/8 - 59*v**2/8 + 627*v/8 + 7623/8 = 0.
-7, 33
What is g in -72*g**4/11 - 2*g**3/11 = 0?
-1/36, 0
Factor -12*j**3 + 112*j