h**3/9 - 8*h**2/9 + 2*h/9 + 8/9 = 0.
-4, -1, 1
Find f such that -3*f**4 - 372*f**3 + 9*f**2 + 1122*f + 744 = 0.
-124, -1, 2
Let 4*d**4 + 116*d**3 + 204*d**2 - 324*d = 0. Calculate d.
-27, -3, 0, 1
Find q, given that -q**3/3 - 10*q**2/3 + 11*q/3 = 0.
-11, 0, 1
What is s in 20*s**5 + 5*s**4 - 75*s**3 + 25*s**2 + 55*s - 30 = 0?
-2, -1, 3/4, 1
Factor -2*y**4 - 2*y**3 + 12*y**2.
-2*y**2*(y - 2)*(y + 3)
Let -j**3 + 7*j**2/2 + 33*j/2 - 54 = 0. Calculate j.
-4, 3, 9/2
Factor -10*p**3 - 232*p**2 + 952*p/5 - 192/5.
-2*(p + 24)*(5*p - 2)**2/5
What is c in -12*c**3 - 296*c**2 - 1772*c + 624 = 0?
-13, -12, 1/3
Factor -x**5/2 + x**4 + 3*x**3/2.
-x**3*(x - 3)*(x + 1)/2
Determine y so that y**4/8 + 9*y**3/8 + 7*y**2/4 - 9*y/2 - 9 = 0.
-6, -3, -2, 2
Solve 2*b**3 - 202*b**2 + 3718*b - 19118 = 0.
11, 79
Solve -8*l**5 + 44*l**4 + 168*l**3 - 44*l**2 - 160*l = 0.
-5/2, -1, 0, 1, 8
What is t in 4*t**3/3 - 156*t**2 + 608*t - 1808/3 = 0?
2, 113
Factor -n**2 - 40*n.
-n*(n + 40)
Factor -c**2/3 + 31*c + 388/3.
-(c - 97)*(c + 4)/3
What is h in 15*h**5/2 + 99*h**4/2 + 33*h**3/2 - 135*h**2/2 - 24*h + 18 = 0?
-6, -1, 2/5, 1
Factor -20*o**3 - 440*o**2 - 425*o - 105.
-5*(o + 21)*(2*o + 1)**2
Factor p**4/4 + 34*p**3 + 1446*p**2 + 19720*p + 84100.
(p + 10)**2*(p + 58)**2/4
Find v such that -v**4 + 28*v**3 - 258*v**2 + 836*v - 605 = 0.
1, 5, 11
Suppose -2*u**5/7 + 64*u**4/7 + 2*u**3/7 - 64*u**2/7 = 0. Calculate u.
-1, 0, 1, 32
Factor -5*h**5/2 - 4235*h**4/6 - 66505*h**3 - 2098550*h**2 - 2076460*h/3.
-5*h*(h + 94)**3*(3*h + 1)/6
What is k in -4*k**3 - 8*k**2 - 4*k = 0?
-1, 0
Factor 4*k**2/7 - 128*k/7 + 768/7.
4*(k - 24)*(k - 8)/7
Factor -h**2/6 - 7*h + 715/6.
-(h - 13)*(h + 55)/6
Find i such that -8*i**4/5 - 108*i**3/5 + 12*i**2 + 56*i/5 = 0.
-14, -1/2, 0, 1
Solve 5*o**4 - 40*o**3 + 35*o**2 = 0 for o.
0, 1, 7
Factor -4*k**4 + 36*k**3 - 12*k**2 - 148*k - 96.
-4*(k - 8)*(k - 3)*(k + 1)**2
Determine q, given that -6*q**2 - 244*q + 82 = 0.
-41, 1/3
What is d in -2*d**2/19 + 206*d/19 + 208/19 = 0?
-1, 104
Factor -4*l**3 - 912*l**2 + 1836*l - 920.
-4*(l - 1)**2*(l + 230)
Determine p, given that -4*p**3 + 80*p**2 - 512*p + 1024 = 0.
4, 8
Determine l so that 4*l**2 - 288*l + 284 = 0.
1, 71
Factor 2*g**4 + 26*g**3.
2*g**3*(g + 13)
Factor -2*w**5 + 6*w**4 - 6*w**3 + 2*w**2.
-2*w**2*(w - 1)**3
Factor -3*h**3 + 16581*h**2 - 22919085*h + 22902507.
-3*(h - 2763)**2*(h - 1)
Let 2*r**5/7 - 20*r**4/7 + 72*r**3/7 - 108*r**2/7 + 54*r/7 = 0. What is r?
0, 1, 3
Determine n so that -2*n**5 + 1101*n**4 + 2762*n**3 + 1660*n**2 - 552*n - 553 = 0.
-1, 1/2, 553
Let -2*f**2/13 + 132*f/13 - 1530/13 = 0. Calculate f.
15, 51
Suppose 3*f**2/5 + 2124*f/5 + 375948/5 = 0. Calculate f.
-354
Solve 4*t**3 + 18760*t**2 - 37532*t + 18768 = 0 for t.
-4692, 1
Let 4*o**2 - 5380*o - 10776 = 0. What is o?
-2, 1347
Factor a**3/6 - 421*a**2/6 - 211*a/3.
a*(a - 422)*(a + 1)/6
Find f, given that -f**2/4 + 661*f/4 = 0.
0, 661
Factor 58*r**2/9 - 584*r/9 + 40/9.
2*(r - 10)*(29*r - 2)/9
Determine h so that 2*h**4 - 42*h**3/5 + 18*h**2/5 + 58*h/5 - 12/5 = 0.
-1, 1/5, 2, 3
Let x**3/6 - 79*x**2/6 - 122*x/3 - 82/3 = 0. What is x?
-2, -1, 82
Factor w**2 + 54*w - 1035.
(w - 15)*(w + 69)
Factor 2*p**2/9 - 22*p/9 + 20/9.
2*(p - 10)*(p - 1)/9
Factor -w**5/4 + 27*w**4/4 - 195*w**3/4 + 169*w**2/4.
-w**2*(w - 13)**2*(w - 1)/4
Determine b, given that -2*b**2/11 + 8*b - 320/11 = 0.
4, 40
Suppose -3*g**4 - 141*g**3 - 639*g**2 - 351*g + 1134 = 0. What is g?
-42, -3, 1
Factor 3*d**5/4 - 75*d**4/4 - 435*d**3/2 + 7035*d**2/2 + 185955*d/4 + 544341/4.
3*(d - 23)**2*(d + 7)**3/4
Factor 8*f**4/11 + 30*f**3 - 252*f**2/11.
2*f**2*(f + 42)*(4*f - 3)/11
Factor 1331*g**5 + 13189*g**4 + 35376*g**3 + 20088*g**2 - 34992*g - 34992.
(g - 1)*(g + 6)*(11*g + 18)**3
Determine l so that -4*l**4 + 36*l**3 - 116*l**2 + 156*l - 72 = 0.
1, 2, 3
What is g in -3*g**2 + 66*g + 69 = 0?
-1, 23
Solve 5*x**5 - 30*x**4 - 60*x**3 + 190*x**2 - 105*x = 0.
-3, 0, 1, 7
Suppose j**5/5 + 17*j**4/5 - 77*j**3/5 - 1201*j**2/5 + 1232*j - 980 = 0. What is j?
-14, 1, 5
Find f such that -2*f**5/7 - 4*f**4/7 + 10*f**3/7 + 20*f**2/7 - 8*f/7 - 16/7 = 0.
-2, -1, 1, 2
Solve -5*t**2/4 - 1815*t/4 - 1805/2 = 0.
-361, -2
Factor 2*y**2/7 - 34*y/7 + 12.
2*(y - 14)*(y - 3)/7
Let k**3/2 - 76*k**2 - 307*k/2 - 77 = 0. What is k?
-1, 154
Suppose 2*p**3 + 90*p**2 - 384*p + 392 = 0. Calculate p.
-49, 2
Factor 2*z**2/5 + 72*z/5 - 74/5.
2*(z - 1)*(z + 37)/5
Factor -4*f**3 - 84*f**2 - 392*f.
-4*f*(f + 7)*(f + 14)
Factor 3*m**2 - 465*m + 1812.
3*(m - 151)*(m - 4)
Suppose -s**3/6 + s**2/3 = 0. What is s?
0, 2
Let -2*m**5 - 16*m**4 + 58*m**3 + 576*m**2 - 216*m - 4320 = 0. What is m?
-6, -4, 3, 5
Determine q, given that 2*q**4/11 - 60*q**3/11 - 142*q**2/11 + 456*q/11 - 256/11 = 0.
-4, 1, 32
Factor 4*c**2 + 780*c - 4824.
4*(c - 6)*(c + 201)
Factor 2*w**2/7 + 106*w/7 + 104/7.
2*(w + 1)*(w + 52)/7
Factor v**4/9 + 118*v**3/9 + 571*v**2/9 + 226*v/3.
v*(v + 2)*(v + 3)*(v + 113)/9
Factor 28*k**2 + 9988*k - 2856.
4*(k + 357)*(7*k - 2)
Determine j, given that -10*j**3/7 + 244*j**2/7 - 168*j + 432/7 = 0.
2/5, 6, 18
Factor 265*r**2 - 790*r - 15.
5*(r - 3)*(53*r + 1)
Factor -3*a**2/5 - 48*a/5 - 9.
-3*(a + 1)*(a + 15)/5
Factor -2*x**4 + 10*x**3 + 66*x**2 - 154*x + 80.
-2*(x - 8)*(x - 1)**2*(x + 5)
Suppose 3*x**3/4 - 45*x**2/2 + 675*x/4 = 0. What is x?
0, 15
Let -3*z**2/8 + 117*z/8 + 15 = 0. Calculate z.
-1, 40
Let 4*a**4/7 - 16*a**3/7 - 176*a**2/7 + 384*a/7 = 0. Calculate a.
-6, 0, 2, 8
Factor 20*a**2 + 2054*a - 618.
2*(a + 103)*(10*a - 3)
Suppose 8*v**2/5 - 2*v/5 - 2 = 0. Calculate v.
-1, 5/4
What is x in 2*x**4/5 + 12*x**3/5 - 8*x**2 - 60*x - 50 = 0?
-5, -1, 5
Factor f**2/2 - 25/2.
(f - 5)*(f + 5)/2
Let 2*k**3 + 12*k**2 + 16*k = 0. What is k?
-4, -2, 0
Solve 3*a**4/4 - 9*a**3/2 + 27*a**2/4 = 0 for a.
0, 3
Factor 2*j**4/3 + 406*j**3/3 + 20806*j**2/3 + 20402*j/3.
2*j*(j + 1)*(j + 101)**2/3
Factor 3*j**2 - 582*j - 9405.
3*(j - 209)*(j + 15)
Factor 4*s**3/3 + 24*s**2 - 28*s - 152/3.
4*(s - 2)*(s + 1)*(s + 19)/3
Let -2*x**4/13 - 412*x**3/13 - 816*x**2/13 = 0. What is x?
-204, -2, 0
Solve -2*l**4/17 + 166*l**3/17 - 3526*l**2/17 + 3362*l/17 = 0.
0, 1, 41
Factor z**4/6 + 119*z**3/6 - 241*z**2/6 + 121*z/6.
z*(z - 1)**2*(z + 121)/6
Find y, given that y**2/7 + 6*y/7 = 0.
-6, 0
Let 2*h**3/9 + 2*h**2/3 - 8*h/9 - 8/3 = 0. Calculate h.
-3, -2, 2
Factor p**3/6 - 52*p**2/3 + 261*p/2 - 240.
(p - 96)*(p - 5)*(p - 3)/6
Solve v**5/4 - 109*v**4/2 + 4482*v**3 - 166212*v**2 + 2440692*v - 4251528 = 0 for v.
2, 54
Suppose -j**3/10 - j**2/2 - 4*j/5 - 2/5 = 0. What is j?
-2, -1
Let y**4 + 2*y**3 - 9*y**2 - 2*y + 8 = 0. What is y?
-4, -1, 1, 2
Factor 2*o**5/15 - 286*o**4/5 + 40898*o**3/5 - 5848414*o**2/15.
2*o**2*(o - 143)**3/15
Factor -o**5/4 - 5*o**4/4 - 9*o**3/4 - 7*o**2/4 - o/2.
-o*(o + 1)**3*(o + 2)/4
Factor 5*k**3 + 530*k**2 - 2180*k + 2200.
5*(k - 2)**2*(k + 110)
Factor -44*i**2 - 1800*i - 1600.
-4*(i + 40)*(11*i + 10)
Factor 16*z**5 - 36*z**4 + 20*z**3.
4*z**3*(z - 1)*(4*z - 5)
What is z in -z**2/3 - 115*z/3 - 226/3 = 0?
-113, -2
Factor -j**3/2 - 19*j**2/2 - 37*j - 28.
-(j + 1)*(j + 4)*(j + 14)/2
Factor m**2 - 15*m - 100.
(m - 20)*(m + 5)
Factor 3*v**4 + 2307*v**3 - 2313*v**2 - 2307*v + 2310.
3*(v - 1)**2*(v + 1)*(v + 770)
Factor -r**4 + 20*r**3 - 54*r**2 + 52*r - 17.
-(r - 17)*(r - 1)**3
Find v, given that -v**2/7 + 25*v/7 - 150/7 = 0.
10, 15
Suppose 2*x**5 - 88*x**4 + 1164*x**3 - 3800*x**2 - 5054*x = 0. What is x?
-1, 0, 7, 19
Factor 3*r**5 + 198*r**4.
3*r**4*(r + 66)
Solve 8*c**2 + 14*c - 60 = 0.
-15/4, 2
Find m, given that -15*m**4 - 69*m**3 - 30*m**2 + 24*m = 0.
-4, -1, 0, 2/5
Factor -2*r**3 - 30*r**2 - 24*r + 56.
-2*(r - 1)*(r + 2)*(r + 14)
Factor y**4 - 10*y**3 + 19*y**2 + 30*y.
y*(y - 6)*(y - 5)*(y + 1)
Factor -x**3 + 42*x**2 - 77*x - 120.
-(x - 40)*(x - 3)*(x + 1)
Factor -m**2 - 79*m + 162.
-(m - 2)*(m + 81)
Factor -d**3/12 - 25*d**2/12 - 175*d/12 - 125/4.
-(d + 5)**2*(d + 15)/12
Suppose -2*a**2 + 12*a + 1334 = 0. What is a?
-23, 29
Suppose -10*p**2/3 + 6*p + 4/3 = 0. What is p?
-1/5, 2
Let 27*c**4 + 215*c**3/2 + 79*c**2 - 3*c/2 = 0. Calculate c.
-3, -1, 0, 1/54
Suppose -6*b**2/5 - 936*b/5 - 1848/5 = 0. What is b?
-154, -2
Factor -c**5 - 24*c**4 - 102*c**3 - 136*c**2 - 57*c.
-c*(c + 1)**2*(c + 3)*(c + 19)
What is o in -2*o**2/15 + 204*o