0
Let 3*g**4/4 - 27*g**3/2 + 111*g**2/4 + 297*g + 363 = 0. What is g?
-2, 11
Find i, given that -33*i**4 + 1062*i**3 + 897*i**2 - 198*i = 0.
-1, 0, 2/11, 33
Let -a**5/7 + 4*a**4 + 161*a**3 - 17246*a**2/7 - 456076*a/7 - 834632/7 = 0. Calculate a.
-19, -2, 34
Suppose -y**2/12 + 5*y/3 = 0. Calculate y.
0, 20
Factor 2*w**3/9 - 80*w**2 + 9600*w - 384000.
2*(w - 120)**3/9
Find r, given that 5*r**3/6 + 1055*r**2/3 - 5*r/6 - 1055/3 = 0.
-422, -1, 1
Let -x**2/4 + 89*x/4 + 45/2 = 0. Calculate x.
-1, 90
Factor -2*m**4/9 + 92*m**3/3 - 1058*m**2.
-2*m**2*(m - 69)**2/9
Find x, given that 2*x**3 - 14*x**2 + 8*x + 24 = 0.
-1, 2, 6
Factor -4*k**4/5 - 164*k**3/5 + 68*k**2 - 172*k/5.
-4*k*(k - 1)**2*(k + 43)/5
Determine f so that 4*f**4 - 644*f**3 + 13920*f**2 - 107264*f + 280576 = 0.
8, 137
Factor -4*c**2 - 60*c - 216.
-4*(c + 6)*(c + 9)
Factor -b**2/3 + 2*b/3 + 8/3.
-(b - 4)*(b + 2)/3
Factor 3*z**2/4 + 31*z/4 - 11/2.
(z + 11)*(3*z - 2)/4
Find q such that -q**2 + 56*q - 384 = 0.
8, 48
Find k, given that 3*k**5 + 9*k**4/2 - 15*k**3/2 - 15*k**2/2 + 9*k/2 + 3 = 0.
-2, -1, -1/2, 1
Factor o**2 + 27*o - 58.
(o - 2)*(o + 29)
Find r, given that r**3/4 - 5*r**2 - 11*r = 0.
-2, 0, 22
Solve 2*i**2 + 60*i - 128 = 0.
-32, 2
What is f in f**4 + 14*f**3 + 16*f**2 - 96*f = 0?
-12, -4, 0, 2
Factor 4*f**5/3 - 4*f**4 - 124*f**3/3 - 260*f**2/3 - 72*f - 64/3.
4*(f - 8)*(f + 1)**3*(f + 2)/3
Factor -2*x**3/9 - 44*x**2 + 800*x/9.
-2*x*(x - 2)*(x + 200)/9
Suppose 3*s**3/2 + 51*s**2/2 + 84*s + 78 = 0. Calculate s.
-13, -2
Suppose -q**3/5 + 7*q**2 + 112*q/5 + 76/5 = 0. Calculate q.
-2, -1, 38
Factor -s**2 + 3150*s - 2480625.
-(s - 1575)**2
Solve 2*t**4/3 - 2*t**2 + 4*t/3 = 0 for t.
-2, 0, 1
Factor a**3/6 - 7*a**2/2 - 11*a/3.
a*(a - 22)*(a + 1)/6
Determine p, given that 3*p**3/4 + 45*p**2/4 - 243*p/4 - 285/4 = 0.
-19, -1, 5
What is q in q**5/10 - q**4/2 - 13*q**3/10 - 7*q**2/10 = 0?
-1, 0, 7
Factor -z**5 + 11*z**4 - 40*z**3 + 48*z**2.
-z**2*(z - 4)**2*(z - 3)
Find s such that -s**2 + s = 0.
0, 1
Let 2*s**5/7 - 2*s**4/7 - 80*s**3/7 + 32*s**2 = 0. Calculate s.
-7, 0, 4
Determine t, given that 2*t**2 - 18*t - 44 = 0.
-2, 11
Suppose -2*d**5 - 2762*d**4/7 + 4840*d**3/7 + 12640*d**2/7 - 19136*d/7 - 6368/7 = 0. What is d?
-199, -2, -2/7, 2
Find o, given that 2*o**5/7 - 64*o**4/7 - 66*o**3/7 = 0.
-1, 0, 33
Suppose -3*k**2 - 150*k - 1875 = 0. Calculate k.
-25
Determine y so that -y**2/4 - 21*y/4 = 0.
-21, 0
Find m such that 2*m**5/11 - 10*m**4/11 + 16*m**3/11 - 8*m**2/11 = 0.
0, 1, 2
Factor 2*h**3/11 + 108*h**2/11 - 350*h/11 - 456/11.
2*(h - 4)*(h + 1)*(h + 57)/11
Let -2*q**2/5 - 98*q/5 + 424/5 = 0. Calculate q.
-53, 4
Determine k so that -4*k**2/3 + 8*k/3 - 4/3 = 0.
1
Factor v**5/3 + 2*v**4/3 - 11*v**3/3 - 4*v**2.
v**2*(v - 3)*(v + 1)*(v + 4)/3
Find f such that -4*f**4/5 + 1891*f**3/5 - 10771*f**2/5 + 14001*f/5 + 4203/5 = 0.
-1/4, 3, 467
Factor -3*a**2 + 54*a + 525.
-3*(a - 25)*(a + 7)
Factor -2*m**4/3 + 16*m**3 - 128*m**2 + 1024*m/3.
-2*m*(m - 8)**3/3
Solve -t**4/3 + 10*t**3 - 157*t**2/3 - 340*t - 1156/3 = 0.
-2, 17
Factor 65*m**4 + 10*m**3 - 65*m**2 - 10*m.
5*m*(m - 1)*(m + 1)*(13*m + 2)
Factor -60*b**3 + 248*b**2 - 272*b + 32.
-4*(b - 2)**2*(15*b - 2)
Find x, given that -3*x**3/2 - 39*x**2/2 - 39*x + 168 = 0.
-8, -7, 2
Determine j, given that 2*j**4/7 + 24*j**3/7 - 36*j**2/7 - 648*j/7 + 1458/7 = 0.
-9, 3
Factor q**4 + 26*q**3 + 71*q**2 + 46*q.
q*(q + 1)*(q + 2)*(q + 23)
Factor 45*a**4 - 2760*a**3 + 44120*a**2 - 55200*a + 18000.
5*(a - 30)**2*(3*a - 2)**2
Factor -3*s**5/2 - 99*s**4/2 - 765*s**3/2 + 867*s**2/2.
-3*s**2*(s - 1)*(s + 17)**2/2
Factor -6*u**3/7 - 96*u**2/7 - 42*u + 396/7.
-6*(u - 1)*(u + 6)*(u + 11)/7
Determine d so that d**2/2 - 5*d/2 + 3 = 0.
2, 3
Suppose a**5/5 + a**4 + 7*a**3/5 - a**2/5 - 8*a/5 - 4/5 = 0. Calculate a.
-2, -1, 1
Factor -2*x**2/17 - 12*x/17 + 864/17.
-2*(x - 18)*(x + 24)/17
Let 15*f**4 - 117*f**3 + 171*f**2 - 51*f - 18 = 0. What is f?
-1/5, 1, 6
Suppose 4*h**2/3 - 736*h/3 + 33856/3 = 0. What is h?
92
Factor -2*y**2/3 - 198*y.
-2*y*(y + 297)/3
Factor -1331*n**5 - 3388*n**4 - 2915*n**3 - 998*n**2 - 148*n - 8.
-(n + 1)**2*(11*n + 2)**3
Factor -p**2 - 1001*p + 2006.
-(p - 2)*(p + 1003)
Factor y**2 + 520*y + 67600.
(y + 260)**2
Determine u, given that -2*u**5/7 - 174*u**4/7 + 550*u**3/7 + 894*u**2/7 - 548*u/7 - 720/7 = 0.
-90, -1, 1, 4
Let -2*i**4/5 - 48*i**3/5 + 156*i**2/5 - 32*i + 54/5 = 0. What is i?
-27, 1
Solve 3*d**4 - 6*d**3 - 57*d**2 - 84*d - 36 = 0.
-2, -1, 6
Suppose 2*i**3 - 216*i**2 - 218*i = 0. Calculate i.
-1, 0, 109
Factor 26*j**4/9 - 128*j**3/3 - 872*j**2/9.
2*j**2*(j + 2)*(13*j - 218)/9
Suppose 4*p**4 + 176*p**3 + 2688*p**2 + 15680*p + 21952 = 0. What is p?
-14, -2
Factor v**5/3 - 3*v**4 + 20*v**3/3 - 4*v**2.
v**2*(v - 6)*(v - 2)*(v - 1)/3
Solve -206*k**2/7 - 6*k/7 = 0 for k.
-3/103, 0
Solve -21*k**2 - 2514*k + 720 = 0 for k.
-120, 2/7
Suppose 6*w**3 + 32*w**2/3 + 10*w/3 - 4/3 = 0. What is w?
-1, 2/9
Determine g so that -34*g**3 + 62*g**2 - 22*g - 6 = 0.
-3/17, 1
Let -l**2 - 315*l + 1276 = 0. What is l?
-319, 4
Suppose 5*m**4 - 70*m**3 + 305*m**2 - 420*m + 180 = 0. What is m?
1, 6
Determine c so that -50*c**4/3 - 180*c**3 - 536*c**2 - 1040*c/3 - 64 = 0.
-6, -4, -2/5
Factor -a**2 + 42*a - 41.
-(a - 41)*(a - 1)
Find z, given that 27*z**5 - 195*z**4 - 174*z**3 + 48*z**2 = 0.
-1, 0, 2/9, 8
Determine s so that -5*s**4 - 835*s**3 - 35215*s**2 - 24485*s + 413340 = 0.
-83, -4, 3
Let 10*u**5/11 + 14*u**4/11 - 156*u**3/11 + 136*u**2/11 + 80*u/11 = 0. Calculate u.
-5, -2/5, 0, 2
Find s, given that -2*s**3/13 + 10*s**2/13 = 0.
0, 5
Factor 2*x**3 + 22*x**2 + 78*x + 90.
2*(x + 3)**2*(x + 5)
Factor -5*s**2 + 51980*s - 135096020.
-5*(s - 5198)**2
Factor -27*g**3/7 - 1116*g**2/7 - 1452*g/7 - 480/7.
-3*(g + 40)*(3*g + 2)**2/7
What is t in -4*t**4 + 448*t**3 + 452*t**2 = 0?
-1, 0, 113
Let t**3 + 149*t**2 + 5624*t + 5476 = 0. What is t?
-74, -1
Determine d so that d**2/6 + 16*d/3 + 10 = 0.
-30, -2
What is j in j**4/5 + 173*j**3/5 + 10089*j**2/5 + 204687*j/5 + 370386/5 = 0?
-57, -2
Factor -v**3 - 44*v**2 - 125*v - 82.
-(v + 1)*(v + 2)*(v + 41)
Factor 2*q**2/19 - 2222*q/19 - 2224/19.
2*(q - 1112)*(q + 1)/19
What is n in -5*n**5 + 75*n**4 - 440*n**3 + 1260*n**2 - 1760*n + 960 = 0?
2, 3, 4
Factor -4*z**3/23 - 22*z**2/23 - 24*z/23 + 18/23.
-2*(z + 3)**2*(2*z - 1)/23
Find d, given that 5*d**2 - 30*d - 135 = 0.
-3, 9
Factor -z**2 - 91*z - 90.
-(z + 1)*(z + 90)
Let -l**5/3 + 16*l**4/3 - 26*l**3 + 112*l**2/3 - 49*l/3 = 0. What is l?
0, 1, 7
Solve -4*i**4 + 32*i**3 - 52*i**2 + 24*i = 0.
0, 1, 6
Solve -w**4/3 + 2*w**3/3 + w**2 - 8*w/3 + 4/3 = 0 for w.
-2, 1, 2
Factor -3*l**4 + 252*l**3 - 5772*l**2 + 20160*l - 19200.
-3*(l - 40)**2*(l - 2)**2
Factor -2*s**2/15 + 104*s/3 + 1048/15.
-2*(s - 262)*(s + 2)/15
Suppose -2*b**2/7 + 8*b + 58/7 = 0. Calculate b.
-1, 29
Factor -i**3 + 29*i**2 + 1696*i + 15616.
-(i - 61)*(i + 16)**2
Factor t**3/9 - t**2/9 - 14*t/9 + 8/3.
(t - 3)*(t - 2)*(t + 4)/9
Let 5*c**3 - 40*c**2 = 0. Calculate c.
0, 8
Factor -3*l**3/4 - 117*l**2/2 - 459*l/4 - 57.
-3*(l + 1)**2*(l + 76)/4
Let -d**5/7 - d**4/7 + 3*d**3/7 + d**2/7 - 2*d/7 = 0. What is d?
-2, -1, 0, 1
Factor -2*g**2 - 40*g + 448.
-2*(g - 8)*(g + 28)
Factor -5*b**2 + 4460*b - 4455.
-5*(b - 891)*(b - 1)
Find b such that -2*b**4/7 + 88*b**3/7 - 388*b**2/7 - 88*b/7 + 390/7 = 0.
-1, 1, 5, 39
Let f**4/5 + 9*f**3/5 + 4*f**2 + 12*f/5 = 0. Calculate f.
-6, -2, -1, 0
Find w, given that 2*w**3/23 - 20*w**2/23 + 2*w - 28/23 = 0.
1, 2, 7
Find b such that -3*b**4 + 105*b**3 = 0.
0, 35
What is y in -5*y**3 - 120*y**2 - 225*y - 110 = 0?
-22, -1
Suppose -12*t**4 - 160*t**3 - 476*t**2 - 40*t + 288 = 0. Calculate t.
-9, -4, -1, 2/3
Find n, given that -2*n**3/5 - 28*n**2/5 - 88*n/5 - 16 = 0.
-10, -2
Factor 2*z**3/13 + 8*z**2/13.
2*z**2*(z + 4)/13
Solve 5*i**5 - 5*i**4 - 55*i**3 - 35*i**2 + 50*i + 40 = 0.
-2, -1, 1, 4
Factor f**3/7 + 15*f**2/7 + 9*f + 7.
(f + 1)*(f + 7)**2/7
Solve -4*x**4 - 16*x**3 - 20*x**2 - 8*x = 0.
-2, -1, 0
Factor x**2/3 + 22*x/3.
x*(x + 22)/3
What is q in -q**3/4 + q**2/2 + q - 2 = 0?
-2, 2
Solve -o**4/7 + 29*o**3/7 - 258*o**2/7 + 576*o/7 + 864/7 = 0 for o.
-1, 6, 12
Factor 378*y**3 - 242*y**2 - 128*y - 8.
2*(y - 1)*(7*y + 2)*(27*y + 2)
Let -2*c**2/5 - 3164*c/5 - 1251362/5 = 0. What is c?
-791
Suppose 21*