, -2/53, 2
Factor 21*q**2/5 - 981*q/5 - 282/5.
3*(q - 47)*(7*q + 2)/5
Suppose -3*i**3 + 15*i**2 + 18*i = 0. What is i?
-1, 0, 6
Factor 2*x**4 - 1728*x**3 + 559872*x**2 - 80621568*x + 4353564672.
2*(x - 216)**4
Factor c**3/3 - 289*c**2/3.
c**2*(c - 289)/3
Factor -2*v**2 + 3*v/2 + 27/2.
-(v - 3)*(4*v + 9)/2
Let 2*w**3/3 - 4*w**2 - 6*w + 28/3 = 0. Calculate w.
-2, 1, 7
Factor 9*j**3/4 + 28*j**2 + 273*j/4 + 85/2.
(j + 1)*(j + 2)*(9*j + 85)/4
Suppose 9*y**5/2 - 939*y**4 + 49296*y**3 - 32448*y**2 = 0. Calculate y.
0, 2/3, 104
Factor -4*g**3/3 + 36*g**2 + 1732*g/3 + 1820.
-4*(g - 39)*(g + 5)*(g + 7)/3
Factor 2*b**4/9 + 8*b**3/9 + 4*b**2/3 + 8*b/9 + 2/9.
2*(b + 1)**4/9
Factor 3*b**3 + 6*b**2 - 45*b - 108.
3*(b - 4)*(b + 3)**2
Factor -5*o**2 + 405*o + 3080.
-5*(o - 88)*(o + 7)
Determine m, given that -7*m**5/4 + 9*m**4/4 + 13*m**3/2 - 9*m**2 + 2*m = 0.
-2, 0, 2/7, 1, 2
Factor m**3 + 160*m**2 - 1675*m + 4250.
(m - 5)**2*(m + 170)
Factor -3*p**3 + 45*p**2 + 216*p + 228.
-3*(p - 19)*(p + 2)**2
Factor 45*d**5 + 170*d**4 + 140*d**3 - 40*d**2.
5*d**2*(d + 2)**2*(9*d - 2)
Factor -a**5/9 + a**4/9 + a**3/9 - a**2/9.
-a**2*(a - 1)**2*(a + 1)/9
Factor 2*a**3 - 1096*a**2 + 149050*a + 302500.
2*(a - 275)**2*(a + 2)
Factor 3*g**2/4 - 141*g/4 - 36.
3*(g - 48)*(g + 1)/4
Factor -b**2 - 6*b + 16.
-(b - 2)*(b + 8)
Factor 3*d**2/4 + 249*d/2 + 495/4.
3*(d + 1)*(d + 165)/4
Factor z**4/2 - 5*z**3/2 + 4*z**2 - 2*z.
z*(z - 2)**2*(z - 1)/2
Find b, given that -27*b**4 - 6*b**3 + 27*b**2 + 6*b = 0.
-1, -2/9, 0, 1
Factor -2*y**2/7 + 1992*y/7 - 496008/7.
-2*(y - 498)**2/7
Solve 2*g**5 + 16*g**4 - 92*g**3 + 56*g**2 + 90*g - 72 = 0.
-12, -1, 1, 3
Factor 3*z**4 + 27*z**3 + 63*z**2 + 57*z + 18.
3*(z + 1)**3*(z + 6)
Determine t, given that -4*t**3 - 24*t**2 + 16*t + 96 = 0.
-6, -2, 2
Suppose 5*h**2/6 + 6565*h/6 - 1095 = 0. Calculate h.
-1314, 1
Determine v so that v**3 - 78*v**2 + 725*v + 804 = 0.
-1, 12, 67
Solve 4*d**5/3 + 632*d**4 + 74892*d**3 = 0 for d.
-237, 0
Factor 5*p**4 + 10*p**3 - 355*p**2 - 360*p.
5*p*(p - 8)*(p + 1)*(p + 9)
Solve l**5/7 - 4*l**4 - 3*l**3/7 + 86*l**2/7 - 8*l = 0 for l.
-2, 0, 1, 28
Find n, given that -148*n**2/7 - 82*n/7 - 4/7 = 0.
-1/2, -2/37
Let -x**5 - x**4 + 50*x**3 - 174*x**2 + 207*x - 81 = 0. Calculate x.
-9, 1, 3
Solve 98*u**3/5 - 17220*u**2 + 49176*u/5 - 7024/5 = 0 for u.
2/7, 878
Find g such that 6*g**4 - 15*g**3 - 18*g**2 + 60*g - 24 = 0.
-2, 1/2, 2
Factor 3*w**3/7 + 36*w**2/7 - 180*w/7 - 2400/7.
3*(w - 8)*(w + 10)**2/7
Factor m**4 + 2*m**3 - 4*m**2 - 8*m.
m*(m - 2)*(m + 2)**2
Suppose -2*t**4 - 502*t**3 + 3066*t**2 - 4626*t = 0. Calculate t.
-257, 0, 3
Suppose 4*r**3 + 256*r**2 + 4628*r + 25688 = 0. What is r?
-38, -13
Factor 54*s**3 + 28*s**2 - 106*s - 80.
2*(s + 1)**2*(27*s - 40)
Factor -b**3 - 2*b**2 + 36*b + 72.
-(b - 6)*(b + 2)*(b + 6)
Solve -3*t**5/5 - 9*t**4/5 - 6*t**3/5 = 0.
-2, -1, 0
Find f such that -25*f**2 - 85*f - 30 = 0.
-3, -2/5
Let 5*b**2 + 11960*b + 7152080 = 0. Calculate b.
-1196
Solve 3*b**2/4 + 1365*b + 621075 = 0.
-910
Factor -3*v**2 - 1149*v + 5820.
-3*(v - 5)*(v + 388)
Let -10*u**5/3 - 142*u**4/3 - 182*u**3 + 190*u**2/3 + 3100*u/3 = 0. What is u?
-31/5, -5, 0, 2
Find a such that -3*a**4 - 3*a**3 + 9*a**2 + 3*a - 6 = 0.
-2, -1, 1
Suppose 2*a**4/5 + 2*a**3 - 2*a**2/5 - 2*a = 0. What is a?
-5, -1, 0, 1
Factor -20*z**3/7 - 92*z**2/7 - 48*z/7.
-4*z*(z + 4)*(5*z + 3)/7
Factor a**3/9 - 19*a**2/9 - 200*a/9 + 52.
(a - 26)*(a - 2)*(a + 9)/9
What is x in -x**5 - 12*x**4 - 45*x**3 - 54*x**2 = 0?
-6, -3, 0
Factor 5*k**2 + 4430*k + 8840.
5*(k + 2)*(k + 884)
Factor 2*r**3 + 62*r**2 + 638*r + 2178.
2*(r + 9)*(r + 11)**2
Find l such that -99*l**4/2 - 317*l**3 - 1135*l**2/2 - 192*l - 18 = 0.
-3, -2/9, -2/11
Solve 2*f**3/3 + 110*f**2/3 + 608*f + 2688 = 0 for f.
-24, -7
Factor f**2/2 + 55*f + 312.
(f + 6)*(f + 104)/2
Suppose 3*f**4 + 171*f**3 + 2376*f**2 = 0. What is f?
-33, -24, 0
Let g**4/5 + 121*g**3/5 + 885*g**2 + 44891*g/5 + 73034/5 = 0. What is g?
-53, -13, -2
Factor -5*w**2 - 25*w - 30.
-5*(w + 2)*(w + 3)
Factor -n**3/5 + 7*n**2/5 + 6*n.
-n*(n - 10)*(n + 3)/5
Factor 3*u**2 - 69*u + 66.
3*(u - 22)*(u - 1)
Solve -5*r**4 - 900*r**3 - 885*r**2 + 1790*r = 0.
-179, -2, 0, 1
Solve m**2/2 + 7*m/2 + 6 = 0.
-4, -3
Find s such that 3*s**5/2 - 27*s**3/2 = 0.
-3, 0, 3
Solve -u**3/2 - u**2 + 2*u + 4 = 0.
-2, 2
Find l such that -l**4/10 - l**3/5 + 13*l**2/10 + 19*l/5 + 12/5 = 0.
-3, -2, -1, 4
Factor -4950*a**3 - 5070*a**2 - 1328*a/11 - 8/11.
-2*(a + 1)*(165*a + 2)**2/11
Factor -6*b**3 + 7905*b**2 - 2601732*b - 1302843.
-3*(b - 659)**2*(2*b + 1)
Find m such that -3*m**3 - 45*m**2 + 174*m + 216 = 0.
-18, -1, 4
What is t in -5*t**2/2 - 205*t/2 - 195 = 0?
-39, -2
Determine l so that -2*l**4/7 - 13*l**3/7 - 23*l**2/7 - 12*l/7 = 0.
-4, -3/2, -1, 0
Factor 3*a**5 - 3*a**4 - 9*a**3 + 3*a**2 + 6*a.
3*a*(a - 2)*(a - 1)*(a + 1)**2
Let -2*b**2/3 + 8*b/3 - 2 = 0. Calculate b.
1, 3
Determine r so that -r**4/3 - 2*r**3/3 + r**2 = 0.
-3, 0, 1
Determine q, given that 6*q**5 - 27*q**4 + 3*q**3 + 39*q**2 - 9*q - 12 = 0.
-1, -1/2, 1, 4
Suppose -f**5/3 + 2*f**4/3 - 2*f**2/3 + f/3 = 0. Calculate f.
-1, 0, 1
Find l, given that 15*l**2 + 291*l + 114 = 0.
-19, -2/5
Factor 3*n**2/4 + 249*n/4 - 330.
3*(n - 5)*(n + 88)/4
Factor -3*s**3 + 306*s**2 - 8640*s + 41472.
-3*(s - 48)**2*(s - 6)
Let 60*t**5 - 1101*t**4 + 5205*t**3 - 1113*t**2 - 2565*t - 486 = 0. Calculate t.
-2/5, -1/4, 1, 9
Let 2*u**4/17 + 74*u**3/17 - 780*u**2/17 + 2168*u/17 - 1840/17 = 0. What is u?
-46, 2, 5
Solve 4*d**2 + 32*d + 64 = 0 for d.
-4
Suppose -2*g**4 - 154*g**3 - 3186*g**2 - 8510*g - 5476 = 0. What is g?
-37, -2, -1
Factor 4*b**2 - 76*b.
4*b*(b - 19)
Factor 3*b**3 + 672*b**2 + 14832*b + 86400.
3*(b + 12)**2*(b + 200)
Find p, given that -5*p**2/2 - 2645*p/2 + 2655 = 0.
-531, 2
Factor -p**2/3 + 4/3.
-(p - 2)*(p + 2)/3
Factor 12*r**3 - 2067*r**2 + 516*r.
3*r*(r - 172)*(4*r - 1)
Let 4*z**4/7 + 44*z**3/7 + 40*z**2/7 = 0. What is z?
-10, -1, 0
Determine y, given that 2*y**5/15 + 8*y**4/15 - 32*y**2/15 - 32*y/15 = 0.
-2, 0, 2
Factor x**4/3 + 478*x**3/3 + 56641*x**2/3 - 38240*x + 19200.
(x - 1)**2*(x + 240)**2/3
Factor -27*q**5/5 + 261*q**4 - 4470*q**3 + 31050*q**2 - 70875*q + 50625.
-3*(q - 15)**3*(3*q - 5)**2/5
Factor 15*f**3 + 186*f**2 + 477*f + 162.
3*(f + 3)*(f + 9)*(5*f + 2)
Find i, given that -3*i**2/4 + 15*i/4 - 9/2 = 0.
2, 3
Factor 4*m**4 - 172*m**3 + 160*m**2 + 336*m.
4*m*(m - 42)*(m - 2)*(m + 1)
What is h in 2*h**2/9 - 80*h/3 - 82 = 0?
-3, 123
Find k, given that -k**4 - 151*k**3 - 447*k**2 - 445*k - 148 = 0.
-148, -1
What is q in -2*q**3 - 10*q**2 + 72*q = 0?
-9, 0, 4
Let -y**2/3 + 7*y + 22/3 = 0. What is y?
-1, 22
Factor 3*l**3/8 - 17*l**2/8 - 27*l/8 - 7/8.
(l - 7)*(l + 1)*(3*l + 1)/8
Find m, given that 2*m**4/5 - 4*m**3 + 42*m**2/5 = 0.
0, 3, 7
Factor 3*l**2/4 + 105*l/4 - 171/2.
3*(l - 3)*(l + 38)/4
Suppose -3*x**4 + 27*x**3 + 102*x**2 + 72*x = 0. What is x?
-2, -1, 0, 12
What is y in 2*y**3 + 122*y**2 + 572*y + 672 = 0?
-56, -3, -2
What is i in -i**2/7 - 12*i/7 - 36/7 = 0?
-6
Factor 3*h**2/7 + 183*h + 3816/7.
3*(h + 3)*(h + 424)/7
Factor -2*k**3/13 - 1096*k**2/13 - 149050*k/13 + 302500/13.
-2*(k - 2)*(k + 275)**2/13
What is a in a**5/8 - 5*a**3/8 + a/2 = 0?
-2, -1, 0, 1, 2
What is h in h**3/4 - 13*h**2/4 + 5*h/2 + 6 = 0?
-1, 2, 12
Find i such that 4*i**5 + 44*i**4 - 216*i**3 + 344*i**2 - 236*i + 60 = 0.
-15, 1
Factor -o**2 - 33*o - 62.
-(o + 2)*(o + 31)
Let 2*v**3 + 18*v**2 + 16*v = 0. Calculate v.
-8, -1, 0
Solve m**5 - 85*m**3 + 380*m**2 - 240*m - 704 = 0.
-11, -1, 4
Solve -2*y**2/3 + 8*y - 64/3 = 0.
4, 8
Suppose 6*s**3 + 273*s**2 + 3036*s - 1587 = 0. Calculate s.
-23, 1/2
Let t**2 + 18*t + 65 = 0. What is t?
-13, -5
Determine l, given that 10*l**3 + 296*l**2 - 126*l - 180 = 0.
-30, -3/5, 1
Find g, given that -g**4/5 - 17*g**3/5 - 68*g**2/5 - 20*g - 48/5 = 0.
-12, -2, -1
Let -4*f**5/11 - 6*f**4/11 + 10*f**3/11 + 12*f**2/11 = 0. What is f?
-2, -1, 0, 3/2
Factor -4*m**2 + 244*m + 3848.
-4*(m - 74)*(m + 13)
Suppose -f**3/5 + 4*f/5 = 0. What is f?
-2, 0, 2
Factor -r**3 + 59*r**2/4 - 55*r/4.
-r*(r - 1)*(4*r - 55)/4
Factor -f**4/5 + 548*f**3/5 - 75622*f**2/5 + 149604*f/5 - 74529/5.
-(f - 273)**2*(f - 1)**2/5
Factor -25*b**3 + 40*b**2 + 20*b.
-5*b*(b - 2)*(5*b + 2)
Determine w so that -5*w**5 + 25*w**4 