h/2 - 361/4 = 0.
1/2, 1, 19
Suppose h**5 + 6*h**4 - 3*h**3 - 16*h**2 + 12*h = 0. What is h?
-6, -2, 0, 1
Suppose 24*u**3/19 + 142*u**2/19 + 180*u/19 - 16/19 = 0. Calculate u.
-4, -2, 1/12
Find j such that -21*j**3 + 162*j**2 + 468*j + 120 = 0.
-2, -2/7, 10
Factor 3*z**4 + 27*z**3 - 228*z**2 - 252*z.
3*z*(z - 6)*(z + 1)*(z + 14)
Factor -3*b**2 + 693*b + 3540.
-3*(b - 236)*(b + 5)
Factor 5*m**2 + 75*m - 170.
5*(m - 2)*(m + 17)
Factor 70*i**2 + 2575*i + 730.
5*(2*i + 73)*(7*i + 2)
Factor -5*y**3 - 75*y**2 - 240*y - 220.
-5*(y + 2)**2*(y + 11)
Factor 363*h**4/4 + 165*h**3 + 117*h**2/2 - 15*h + 3/4.
3*(h + 1)**2*(11*h - 1)**2/4
Factor h**3/5 - 38*h**2 + 377*h/5 - 188/5.
(h - 188)*(h - 1)**2/5
Factor -2*g**4/25 - 22*g**3/25 - 48*g**2/25 + 72*g/25.
-2*g*(g - 1)*(g + 6)**2/25
Factor 5*b**4 + 320*b**3 + 4770*b**2 - 11880*b - 16335.
5*(b - 3)*(b + 1)*(b + 33)**2
Factor -2*w**2/11 + 708*w/11 - 62658/11.
-2*(w - 177)**2/11
Solve -5*x**2 - 57410*x - 164795405 = 0.
-5741
Find d such that -2*d**5/3 + 16*d**4/3 + 8*d**3 - 44*d**2/3 - 86*d/3 - 12 = 0.
-1, 2, 9
Suppose -2*u**3 - 990*u**2/7 - 1648*u/7 + 552/7 = 0. Calculate u.
-69, -2, 2/7
Determine d so that d**4/4 - 5*d**3/4 - 7*d**2/2 = 0.
-2, 0, 7
Determine x so that -12*x**5 + 21*x**4 + 138*x**3 - 111*x**2 - 36*x = 0.
-3, -1/4, 0, 1, 4
Solve -12*k**5 + 213*k**4/5 - 27*k**3 - 96*k**2/5 - 12*k/5 = 0.
-1/4, -1/5, 0, 2
Solve -k**3/2 - 7*k**2/2 - 11*k/2 - 5/2 = 0.
-5, -1
Suppose 4*a**5 - 14*a**4 - 52*a**3 - 46*a**2 - 12*a = 0. What is a?
-1, -1/2, 0, 6
Factor 5*s**2 + 55*s + 90.
5*(s + 2)*(s + 9)
Factor 16*f**4 - 208*f**3 + 564*f**2 + 728*f + 196.
4*(f - 7)**2*(2*f + 1)**2
Factor -32*v**3 - 11120*v**2 + 16734*v - 6282.
-2*(v + 349)*(4*v - 3)**2
Suppose -5*q**3 + 3450*q**2 - 13695*q - 17150 = 0. What is q?
-1, 5, 686
Solve -5*o**2 + 5*o + 100 = 0.
-4, 5
Solve -r**5/9 - 4*r**4/9 - r**3/3 + 4*r**2/9 + 4*r/9 = 0 for r.
-2, -1, 0, 1
Factor 5*a**5 + 155*a**4 + 1120*a**3 - 1280*a**2.
5*a**2*(a - 1)*(a + 16)**2
Factor -2*v**4 - 4*v**3 - 2*v**2.
-2*v**2*(v + 1)**2
Solve -5*o**4/4 - 4*o**3 - 17*o**2/4 - 3*o/2 = 0 for o.
-6/5, -1, 0
Determine h so that 4*h**5/3 - 20*h**4/3 - 4*h**3 + 116*h**2/3 + 8*h/3 - 32 = 0.
-2, -1, 1, 3, 4
Let -12*l**5/7 + 4*l**4/7 + 344*l**3/7 - 688*l**2/7 - 32*l/7 + 384/7 = 0. Calculate l.
-6, -2/3, 1, 2, 4
Factor d**3 + 6*d**2 + 11*d + 6.
(d + 1)*(d + 2)*(d + 3)
Suppose 2*t**3/5 - 12*t**2 - 8*t/5 + 48 = 0. What is t?
-2, 2, 30
Factor -2*q**3/19 + 564*q**2/19 - 39762*q/19.
-2*q*(q - 141)**2/19
Factor -4*n**2/5 - 28*n/5 - 8.
-4*(n + 2)*(n + 5)/5
Factor -5*p**3 - 70*p**2 + 75*p.
-5*p*(p - 1)*(p + 15)
Let -g**2/3 - 32*g/3 + 35 = 0. What is g?
-35, 3
Factor -5*l**5/2 + 515*l**4/2 - 8665*l**3 + 89075*l**2 + 410375*l/2 + 214375/2.
-5*(l - 35)**3*(l + 1)**2/2
What is d in d**3/5 + 459*d**2/5 + 10395*d - 160083/5 = 0?
-231, 3
Solve 7*v**3/3 - 19*v**2 - 55*v/3 + 3 = 0 for v.
-1, 1/7, 9
Factor -3*b**3/4 + 12*b**2 + 3*b - 48.
-3*(b - 16)*(b - 2)*(b + 2)/4
Factor -4*p**4/5 - 52*p**3/5 - 252*p**2/5 - 108*p - 432/5.
-4*(p + 3)**3*(p + 4)/5
Find s such that 4*s**4 + 132*s**3 + 372*s**2 + 364*s + 120 = 0.
-30, -1
Suppose 3*j**2/7 + 1044*j/7 + 90828/7 = 0. What is j?
-174
Find y, given that -5*y**4 + 252*y**3 - 100*y**2 = 0.
0, 2/5, 50
Factor -3*q**3 + 23*q**2 - 160*q/3 + 100/3.
-(q - 1)*(3*q - 10)**2/3
Factor 2*o**3 - 2*o**2 - 266*o + 1274.
2*(o - 7)**2*(o + 13)
Factor 4*b**3 - 172*b + 168.
4*(b - 6)*(b - 1)*(b + 7)
Factor -2*n**4/5 - 928*n**3/5 - 117372*n**2/5 - 2255968*n/5 - 11819522/5.
-2*(n + 11)**2*(n + 221)**2/5
Factor 2*f**4 - 30*f**3 - 116*f**2 + 144*f.
2*f*(f - 18)*(f - 1)*(f + 4)
Factor -2*z**3/3 + 316*z**2/3 - 314*z/3.
-2*z*(z - 157)*(z - 1)/3
What is g in 4*g**4 + 84*g**3 + 608*g**2 + 1776*g + 1728 = 0?
-9, -6, -4, -2
Solve -b**3 - 12*b**2 + 28*b = 0.
-14, 0, 2
Determine h so that 3*h**5 - 21*h**4 - 141*h**3 + 69*h**2 + 354*h - 264 = 0.
-4, -2, 1, 11
Find k such that 4*k**4/7 - 96*k**3/7 + 176*k**2/7 = 0.
0, 2, 22
Factor -2*z**3/11 + 120*z**2/11 - 234*z/11 + 116/11.
-2*(z - 58)*(z - 1)**2/11
Factor -4*p**4 - 24*p**3 + 420*p**2 - 392*p.
-4*p*(p - 7)*(p - 1)*(p + 14)
Factor -2*x**4 - 1510*x**3 - 285766*x**2 - 284258*x.
-2*x*(x + 1)*(x + 377)**2
Let -4*n**3/3 + 104*n**2/3 = 0. Calculate n.
0, 26
Factor -l**3/4 - 11*l**2/4 - l + 15.
-(l - 2)*(l + 3)*(l + 10)/4
Determine y, given that 2*y**5/7 - 4*y**4/7 - 22*y**3/7 + 8*y**2/7 + 8*y + 32/7 = 0.
-2, -1, 2, 4
Find w, given that 3*w**3/5 + 201*w**2/5 - 204*w/5 = 0.
-68, 0, 1
Factor -4*w**3/5 - 14*w**2/5 - 14*w/5 - 4/5.
-2*(w + 1)*(w + 2)*(2*w + 1)/5
Factor -5*j**2 - 55*j - 50.
-5*(j + 1)*(j + 10)
Factor -h**2 + 292*h - 21316.
-(h - 146)**2
Determine l, given that 4*l**3 + 208*l**2 + 2324*l + 7448 = 0.
-38, -7
Let -98*v**5 - 364*v**4 + 3642*v**3 - 58060*v**2/7 + 53800*v/7 - 18000/7 = 0. What is v?
-9, 1, 10/7
Find d, given that 2*d**3/5 - 2*d**2 - 26*d/5 - 14/5 = 0.
-1, 7
Factor 3*r**2/2 + 135*r/2.
3*r*(r + 45)/2
Let 4*b**2 + 272*b + 268 = 0. What is b?
-67, -1
Solve -6*v**4 + 8*v**3 + 50*v**2 + 52*v + 16 = 0 for v.
-1, -2/3, 4
Find u, given that 2*u**4/5 - 12*u**3/5 - 2*u**2 + 84*u/5 + 16 = 0.
-2, -1, 4, 5
Factor 15*f**3 - 10*f**2 - 275*f - 250.
5*(f - 5)*(f + 1)*(3*f + 10)
Solve -5*w**2 - 115*w = 0 for w.
-23, 0
Factor -20*m**3 + 135*m**2 - 165*m - 50.
-5*(m - 5)*(m - 2)*(4*m + 1)
Factor 5*k**3 + 180*k**2 + 495*k.
5*k*(k + 3)*(k + 33)
Determine x so that 2*x**4 - 8*x**3 + 2*x**2 + 12*x = 0.
-1, 0, 2, 3
Solve -5*w**2/4 - 4665*w - 4352445 = 0.
-1866
Solve -j**4 - 55*j**3 - 53*j**2 + 55*j + 54 = 0.
-54, -1, 1
Let f**2/4 - 11*f - 45/4 = 0. Calculate f.
-1, 45
Factor -10*w**4 + 15*w**3 + 445*w**2 + 600*w.
-5*w*(w - 8)*(w + 5)*(2*w + 3)
Find g, given that g**3/2 + 17*g**2/2 + 11*g - 60 = 0.
-15, -4, 2
Factor -2*f**2 + 280*f - 9800.
-2*(f - 70)**2
Solve 2*z**3/7 + 6*z**2/7 - 92*z/7 + 144/7 = 0 for z.
-9, 2, 4
Factor 2*u**4/9 - 68*u**3/9 + 122*u**2/9 + 64*u/3.
2*u*(u - 32)*(u - 3)*(u + 1)/9
Find h, given that 5*h**5/2 + 35*h**4/2 + 75*h**3/2 + 65*h**2/2 + 10*h = 0.
-4, -1, 0
Let 3*a**3 - 18*a**2 - 135*a + 486 = 0. What is a?
-6, 3, 9
Solve 3*k**3 - 6*k**2 - 27*k + 54 = 0 for k.
-3, 2, 3
Find q such that -q**2/3 - 2*q/3 + 1 = 0.
-3, 1
Determine z, given that -z**5/4 + 3*z**4/2 + 7*z**3/2 - 12*z**2 - 13*z/4 + 21/2 = 0.
-3, -1, 1, 2, 7
Determine h, given that -6*h**5 + 22*h**4/3 + 266*h**3/3 + 118*h**2 + 88*h/3 - 40/3 = 0.
-2, -1, 2/9, 5
Factor w**5/3 + 16*w**4/3 + 28*w**3/3 - 2*w**2/3 - 29*w/3 - 14/3.
(w - 1)*(w + 1)**3*(w + 14)/3
Suppose -4*c**4 - 4*c**3 + 12*c**2 + 20*c + 8 = 0. Calculate c.
-1, 2
Determine t, given that 5*t**5/2 - 10*t**4/3 - 25*t**3/6 + 5*t**2/3 = 0.
-1, 0, 1/3, 2
Suppose -5*g**4 + 420*g**3 + 1735*g**2 + 2190*g + 880 = 0. What is g?
-2, -1, 88
Factor 4*v**2 - 68*v + 120.
4*(v - 15)*(v - 2)
Let -22*x**4/15 + 28*x**3/5 + 42*x**2/5 + 4*x/3 = 0. Calculate x.
-1, -2/11, 0, 5
Determine q, given that -3*q**5 + 24*q**4 - 18*q**3 - 120*q**2 - 75*q = 0.
-1, 0, 5
Factor 4*k**2/7 - 192*k.
4*k*(k - 336)/7
Factor b**4/2 - 8*b**3 + 23*b**2 + 72*b + 81/2.
(b - 9)**2*(b + 1)**2/2
Solve u**2 - 2350*u + 1380625 = 0.
1175
Factor -2*q**2 + 4108*q - 2109458.
-2*(q - 1027)**2
Factor -4*f**5 + 4*f**4 + 4*f**3 - 4*f**2.
-4*f**2*(f - 1)**2*(f + 1)
Solve -f**4 - 5*f**3 - 6*f**2 + 4*f + 8 = 0.
-2, 1
Factor 3*y**3 - 45*y**2 - 363*y - 315.
3*(y - 21)*(y + 1)*(y + 5)
Suppose p**3 - 1723*p**2 + 743043*p - 741321 = 0. Calculate p.
1, 861
Determine t, given that -3*t**2/2 - 195*t - 1800 = 0.
-120, -10
Let p**2 + 64*p + 124 = 0. Calculate p.
-62, -2
Solve 2*o**4/13 - 22*o**3/13 - 2*o**2/13 + 22*o/13 = 0.
-1, 0, 1, 11
Solve 3*q**3 + 330*q**2 = 0.
-110, 0
Find p, given that 208*p**5/3 + 340*p**4 + 802*p**3/3 + 68*p**2 + 16*p/3 = 0.
-4, -1/2, -1/4, -2/13, 0
Let a**4/4 + a**3 + a**2 = 0. Calculate a.
-2, 0
Factor -j**4 - 9*j**3 - 15*j**2 + 25*j.
-j*(j - 1)*(j + 5)**2
Suppose 2*p**4/7 - 8*p**3/7 - 54*p**2/7 + 180*p/7 = 0. What is p?
-5, 0, 3, 6
Factor m**5 - 165*m**4 + 2163*m**3 - 7399*m**2.
m**2*(m - 151)*(m - 7)**2
Factor -20*g**2/7 + 514*g/7 + 156/7.
-2*(g - 26)*(10*g + 3)/7
Find r such that r**3/3 - 4*r/3 = 0.
-2, 0, 2
Factor 4*z**2 - 5444*z.
4*z*(z - 1361)
Factor 2*g**3/5 - 2*g**2 - 44*g/5 - 32/5.
2*(g - 8)*(g + 1)*(g + 2)/5
Factor 2*k**4 - 46*k**3 + 212*k**2 + 624*k.
2*k*(k - 1