Determine m so that -2*m**4/7 + 4*m**3 - 138*m**2/7 + 272*m/7 - 160/7 = 0.
1, 4, 5
What is x in x**2/6 - 194*x/3 = 0?
0, 388
Factor -q**3/3 - 67*q**2/3 - 130*q/3.
-q*(q + 2)*(q + 65)/3
Let -4*a**3 - 480*a**2 + 3532*a - 3048 = 0. What is a?
-127, 1, 6
Factor -t**5 - 19*t**4 - 98*t**3 - 62*t**2 + 99*t + 81.
-(t - 1)*(t + 1)**2*(t + 9)**2
Factor 16*m**4 + 44*m**3 - 156*m**2 + 116*m - 20.
4*(m - 1)**2*(m + 5)*(4*m - 1)
Factor l**4 + 29*l**3 + 28*l**2.
l**2*(l + 1)*(l + 28)
Suppose 100*h**2 - 84*h - 16 = 0. What is h?
-4/25, 1
Find f such that 3*f**5 + 1765*f**4/7 + 1790*f**3/7 - 2980*f**2/7 + 664*f/7 = 0.
-83, -2, 0, 2/7, 2/3
Factor -2*f**4/5 - 18*f**3/5 - 6*f**2 - 14*f/5.
-2*f*(f + 1)**2*(f + 7)/5
What is u in -2*u**3/9 + 2*u**2 - 4*u/3 - 32/9 = 0?
-1, 2, 8
Solve -40*o**5/9 - 236*o**4/9 - 112*o**3/3 - 124*o**2/9 + 16*o/9 = 0 for o.
-4, -1, 0, 1/10
Factor -2*s**3/9 - 14*s**2 - 640*s/3 + 2048/9.
-2*(s - 1)*(s + 32)**2/9
Factor -2*u**4/11 + 322*u**3/11 - 954*u**2/11 + 950*u/11 - 316/11.
-2*(u - 158)*(u - 1)**3/11
Factor m**4 - 51*m**3 + 673*m**2 - 525*m - 1250.
(m - 25)**2*(m - 2)*(m + 1)
Factor -8*c**2/23 - 90*c/23 - 22/23.
-2*(c + 11)*(4*c + 1)/23
Let -2*m**2/19 - 2*m/19 = 0. Calculate m.
-1, 0
Factor -5*a**2 + 3000*a + 3005.
-5*(a - 601)*(a + 1)
Suppose -11*n**4/3 + 2*n**3 + 11*n**2 + 4*n/3 - 4 = 0. Calculate n.
-1, 6/11, 2
Factor 5*v**5 - 30*v**4 + 5*v**3 + 120*v**2 + 80*v.
5*v*(v - 4)**2*(v + 1)**2
Let 2*y**5 + 22*y**4 + 76*y**3 + 80*y**2 = 0. Calculate y.
-5, -4, -2, 0
Factor 3*a**3 - 729*a**2 + 43920*a + 44652.
3*(a - 122)**2*(a + 1)
Suppose 283*u**2/3 - 95*u + 2/3 = 0. What is u?
2/283, 1
Find w such that -2*w**2/5 - 4736*w/5 - 2803712/5 = 0.
-1184
What is m in -2*m**3/7 + 22*m**2/7 + 100*m = 0?
-14, 0, 25
Find u, given that 3*u**5/5 + 228*u**4/5 - 3*u**3 - 228*u**2 + 12*u/5 + 912/5 = 0.
-76, -2, -1, 1, 2
Determine c so that -2*c**4 - 39*c**3/4 - 59*c**2/4 - 6*c + 1 = 0.
-2, -1, 1/8
Determine i, given that -3*i**2/7 - 135*i/7 - 132/7 = 0.
-44, -1
Find q such that -q**4 + 11*q**3 - 39*q**2 + 49*q - 20 = 0.
1, 4, 5
Solve q**5/4 - q**3/4 = 0.
-1, 0, 1
What is o in 2156*o**5 + 1932*o**4 - 7376*o**3 - 2800*o**2 + 5376*o + 1024 = 0?
-2, -1, -2/11, 8/7
Solve -3*u**3 + 33*u**2 - 78*u + 48 = 0 for u.
1, 2, 8
Factor -5*g**3 + 775*g**2 + 1565*g + 785.
-5*(g - 157)*(g + 1)**2
Factor -60*f**2/7 + 246*f/7 - 24/7.
-6*(f - 4)*(10*f - 1)/7
Factor -5*y**3 + 140*y**2 - 825*y - 2250.
-5*(y - 15)**2*(y + 2)
Determine g, given that 2*g**3/11 + 56*g**2/11 - 342*g/11 - 36 = 0.
-33, -1, 6
Factor 3*f**2/4 + 21*f/4 - 45/2.
3*(f - 3)*(f + 10)/4
Factor -5*i**2 + 275*i - 780.
-5*(i - 52)*(i - 3)
Factor -21*o**3 - 120*o**2 + 183*o - 42.
-3*(o - 1)*(o + 7)*(7*o - 2)
Suppose -2*l**3/3 + 110*l**2/3 - 196*l/3 - 848/3 = 0. What is l?
-2, 4, 53
Factor -o**3 + 10*o**2 + o - 10.
-(o - 10)*(o - 1)*(o + 1)
Suppose -2*q**5 - 28*q**4 - 24*q**3 + 28*q**2 + 26*q = 0. Calculate q.
-13, -1, 0, 1
Let 3*p**5/2 - 51*p**4 - 108*p**3 - 3*p**2 + 213*p/2 + 54 = 0. Calculate p.
-1, 1, 36
Find w such that -44*w**3/3 - 184*w**2/3 + 496*w/3 + 32 = 0.
-6, -2/11, 2
Let 4*l**5/17 - 182*l**4/17 + 424*l**3/17 + 274*l**2/17 - 40*l - 344/17 = 0. Calculate l.
-1, -1/2, 2, 43
Factor -2095*g**2/2 - 2093*g/2 + 1.
-(g + 1)*(2095*g - 2)/2
Factor -4*d**2 - 2952*d - 544644.
-4*(d + 369)**2
Suppose -g**3/8 - 367*g**2/4 - 1465*g/8 - 183/2 = 0. What is g?
-732, -1
Solve -r**3/4 - 997*r**2/4 - 248003*r/4 + 249001/4 = 0 for r.
-499, 1
Find u such that -20*u**4/9 - 208*u**3/9 + 380*u**2/3 + 1888*u/9 + 560/9 = 0.
-14, -1, -2/5, 5
Solve -z**4 - 11*z**3 - 17*z**2 + 71*z - 42 = 0.
-7, -6, 1
Factor 25*o**3 + 660*o**2 - 415*o - 270.
5*(o - 1)*(o + 27)*(5*o + 2)
Suppose -s**3/4 + 7*s**2/4 + 10*s + 11 = 0. What is s?
-2, 11
Factor 2*b**2/11 - 480*b/11 + 28800/11.
2*(b - 120)**2/11
Factor 2*f**2/23 + 5608*f/23 + 3931208/23.
2*(f + 1402)**2/23
Determine a so that a**5/6 - 3*a**3/2 - 2*a**2/3 + 2*a = 0.
-2, 0, 1, 3
Factor i**5/2 + 3*i**4 + 11*i**3/2 + 3*i**2.
i**2*(i + 1)*(i + 2)*(i + 3)/2
Factor 3*s**5 - 12*s**4 - 270*s**3 - 972*s**2 - 1053*s.
3*s*(s - 13)*(s + 3)**3
Let x**3/5 - 173*x**2/5 - 704*x/5 - 708/5 = 0. Calculate x.
-2, 177
Solve -2*x**5/3 - 4*x**4 - 8*x**3 - 16*x**2/3 = 0.
-2, 0
Factor 15*u**3 + 22*u**2 + 23*u/3 + 2/3.
(u + 1)*(3*u + 1)*(15*u + 2)/3
Factor 2*i**4 + 118*i**3 + 2280*i**2 + 13600*i - 16000.
2*(i - 1)*(i + 20)**3
What is z in -8*z**5 + 164*z**4 - 232*z**3 + 76*z**2 = 0?
0, 1/2, 1, 19
Solve -4*u**5 - 68*u**4 - 320*u**3 - 400*u**2 = 0 for u.
-10, -5, -2, 0
Factor 2*g**3/15 - 3512*g**2/3 + 7708840*g/3.
2*g*(g - 4390)**2/15
What is c in -2*c**3/23 - 104*c**2/23 - 1450*c/23 - 2500/23 = 0?
-25, -2
Determine w so that -3*w**2 + 2811*w + 5634 = 0.
-2, 939
Let -49*t**5/11 + 70*t**4/11 + 101*t**3/11 - 62*t**2/11 - 52*t/11 - 8/11 = 0. What is t?
-1, -2/7, 1, 2
Factor -2*k**4 - 8*k**3 + 12*k**2 + 72*k + 54.
-2*(k - 3)*(k + 1)*(k + 3)**2
Factor 2*c**2 + 1890*c + 1888.
2*(c + 1)*(c + 944)
Factor -55*r**2/4 - 75*r/4 - 5.
-5*(r + 1)*(11*r + 4)/4
Find f, given that -5*f**2 + 6440*f - 2073680 = 0.
644
Factor 3*x**2/4 + 105*x/4 + 261/2.
3*(x + 6)*(x + 29)/4
Solve -s**3/5 + s**2/5 + 6*s/5 = 0.
-2, 0, 3
Factor 5*q**2 + 3770*q + 710645.
5*(q + 377)**2
Suppose j**3 + 15*j**2 - 241*j + 225 = 0. What is j?
-25, 1, 9
Factor -p**4/3 + 7*p**3/3 - 6*p**2 + 20*p/3 - 8/3.
-(p - 2)**3*(p - 1)/3
Factor -38*q**2 - 6*q/7.
-2*q*(133*q + 3)/7
Factor q**5/3 + 8*q**4/3 - 5*q**3 - 18*q**2.
q**2*(q - 3)*(q + 2)*(q + 9)/3
What is h in 5*h**5 + 25*h**4 + 15*h**3 - 45*h**2 = 0?
-3, 0, 1
Factor q**3 - 1566*q**2 + 616209*q - 2439844.
(q - 781)**2*(q - 4)
Suppose 4*p**5/5 - 65*p**4 + 1029*p**3/5 - 1177*p**2/5 + 547*p/5 - 78/5 = 0. Calculate p.
1/4, 1, 78
What is t in -5*t**4 - 250*t**3 - 2820*t**2 + 8840*t + 27040 = 0?
-26, -2, 4
Factor 5*y**2 - 75*y + 220.
5*(y - 11)*(y - 4)
Factor 4*g**2/9 + 43*g - 97/9.
(g + 97)*(4*g - 1)/9
Factor 2*g**2/7 - 4*g + 80/7.
2*(g - 10)*(g - 4)/7
Factor -7*j**3 - 5*j**2 + 44*j - 12.
-(j - 2)*(j + 3)*(7*j - 2)
Find g such that g**3/5 - 17*g**2/5 - 38*g/5 = 0.
-2, 0, 19
Factor 5*i**4 - 255*i**3 + 3365*i**2 - 2625*i - 6250.
5*(i - 25)**2*(i - 2)*(i + 1)
Let -5*r**3 + 15*r**2 - 20 = 0. What is r?
-1, 2
Factor 20*j**3 - 2755*j**2 + 94530*j + 23805.
5*(j - 69)**2*(4*j + 1)
Factor a**3 - 679*a**2 + 114920*a + 115600.
(a - 340)**2*(a + 1)
What is b in b**3/3 + 120*b**2 + 10800*b = 0?
-180, 0
Factor -29*h**2/4 - 2815*h/4 - 97/2.
-(h + 97)*(29*h + 2)/4
Suppose x**2 - 16*x + 39 = 0. Calculate x.
3, 13
Factor -4*o**5/9 + 26*o**4/9 - 16*o**3/3 + 2*o**2.
-2*o**2*(o - 3)**2*(2*o - 1)/9
Solve -u**3/2 + 14*u**2 + 171*u/2 - 99 = 0 for u.
-6, 1, 33
Solve -4*p**2 + 3588*p - 3584 = 0.
1, 896
Factor f**2 - 22*f + 57.
(f - 19)*(f - 3)
What is y in 7*y**5 - 47*y**4 + 91*y**3 - 61*y**2 + 2*y + 8 = 0?
-2/7, 1, 4
Factor -5*y**4/2 - 4*y**3 - 3*y**2/2.
-y**2*(y + 1)*(5*y + 3)/2
Let -4*p**4 - 156*p**3/5 - 92*p**2/5 + 156*p/5 + 112/5 = 0. Calculate p.
-7, -1, -4/5, 1
Suppose -4*g**4 - 40*g**3 + 48*g**2 + 40*g - 44 = 0. Calculate g.
-11, -1, 1
Solve -f**2/3 + 76*f - 227/3 = 0 for f.
1, 227
Determine m, given that 49*m**4/4 - 287*m**3/4 + 415*m**2/4 - 213*m/4 + 9 = 0.
3/7, 1, 4
Find d, given that -2*d**2/9 + 116*d/9 = 0.
0, 58
Solve -y**4/2 + 22*y**3 = 0 for y.
0, 44
Suppose -m**4/2 + 14*m**3 - 50*m**2 + 48*m = 0. Calculate m.
0, 2, 24
Factor d**4 - 52*d**3 + 414*d**2 - 1188*d + 1161.
(d - 43)*(d - 3)**3
Factor -5*b**2/6 - 760*b/3 - 1490.
-5*(b + 6)*(b + 298)/6
Let k**2/5 + 724*k/5 - 2181/5 = 0. Calculate k.
-727, 3
What is t in 2*t**2/9 - 2054*t/9 + 228 = 0?
1, 1026
Determine d so that 2*d**2/11 - 8*d/11 + 6/11 = 0.
1, 3
Factor -r**3/3 + 49*r**2 - 1825*r + 5329/3.
-(r - 73)**2*(r - 1)/3
Find m such that m**2 - 340*m + 28900 = 0.
170
Factor -4*i**3 - 40*i**2 + 4*i + 40.
-4*(i - 1)*(i + 1)*(i + 10)
Factor 3*o**3/5 - 54*o**2 - 273*o/5.
3*o*(o - 91)*(o + 1)/5
Suppose -7*w**3 - 88*w**2 - 293*w - 140 = 0. Calculate w.
-7, -5, -4/7
Solve 2*m**3/9 + 1250*m**2/9 + 194686*m/9 - 195938/9 = 0 for m.
-313, 1
Determine h, given that -h**5/3 + 7*h**4/3 - 7*h**3/3 - 19*h**2/3 + 16*h/3 + 20/3 = 0.
-1, 2, 5
Let -4*n**4/3 - 31*n**3 - 20*n**2/3 + 23*n = 0. Calculate n.
-23, -1, 0, 3/4
Determine q, given that -5*q**4 - 25*q**3 + 40*q**2 + 60*q = 0.
-6, -1, 0, 2
Factor