h + 124)
Solve 7*w**4 + 44*w**3 + 75*w**2 + 46*w + 8 = 0.
-4, -1, -2/7
Factor -3*w**3/8 - 69*w**2/8 + 3*w/8 + 69/8.
-3*(w - 1)*(w + 1)*(w + 23)/8
Find j, given that -j**3 + 58*j**2 - 988*j + 4056 = 0.
6, 26
Let 2*c**5/7 - 10*c**4/7 - 6*c**3/7 + 26*c**2/7 + 20*c/7 = 0. Calculate c.
-1, 0, 2, 5
Determine w so that -4*w**3 + 44*w**2 + 376*w - 896 = 0.
-7, 2, 16
Find w such that -5*w**4/8 - 7*w**3/8 + w**2 + w/2 = 0.
-2, -2/5, 0, 1
Factor 3*i**2/2 - 33*i/2 - 39.
3*(i - 13)*(i + 2)/2
Factor -11*p**3 + 19*p**2 - 8*p.
-p*(p - 1)*(11*p - 8)
Solve -3*i**2/7 - 9*i/7 + 54/7 = 0 for i.
-6, 3
Suppose b**4 - 38*b**3 - 589*b**2 - 550*b = 0. What is b?
-11, -1, 0, 50
Solve -g**3/3 - 2*g**2/3 + 27*g - 66 = 0.
-11, 3, 6
Solve 4*m**4 + 164*m**3/5 + 256*m**2/5 - 16*m - 192/5 = 0 for m.
-6, -2, -1, 4/5
Factor 22*l**2 + 158*l + 28.
2*(l + 7)*(11*l + 2)
Determine m so that 9*m**4/8 - 219*m**3/8 - 383*m**2/8 - 181*m/8 - 13/4 = 0.
-1, -1/3, 26
Factor -5*n**2 - 20*n.
-5*n*(n + 4)
Factor -2*v**2/9 - 1216*v/9 - 184832/9.
-2*(v + 304)**2/9
Determine b, given that -b**2 + 5975*b - 5974 = 0.
1, 5974
Solve -25*l**3 - 80*l**2 - 85*l - 30 = 0 for l.
-6/5, -1
Determine x so that -x**5/3 - 8*x**4/3 - 17*x**3/3 + 2*x**2/3 + 8*x = 0.
-4, -3, -2, 0, 1
Let -2*s**5/9 + 28*s**4/9 + 320*s**3/9 + 704*s**2/9 = 0. What is s?
-4, 0, 22
Factor -4*n**2 - 32*n - 60.
-4*(n + 3)*(n + 5)
Find d, given that 26*d**3/17 + 12*d**2 + 496*d/17 + 384/17 = 0.
-4, -2, -24/13
What is j in 3*j**5 + 12*j**4 - 9*j**3 - 66*j**2 - 12*j + 72 = 0?
-3, -2, 1, 2
Solve -2*t**4 - 108*t**3 - 1226*t**2 + 6264*t - 6728 = 0.
-29, 2
Find r such that -2*r**3 + 1959*r**2/2 - 733*r - 489/2 = 0.
-1/4, 1, 489
Factor -3*j**3 + 42*j**2 - 39*j.
-3*j*(j - 13)*(j - 1)
Factor v**3 + 359*v**2 + 1070*v + 712.
(v + 1)*(v + 2)*(v + 356)
Suppose -2*p**5 + p**4 + 6*p**3 - 7*p**2 + 2*p = 0. Calculate p.
-2, 0, 1/2, 1
Factor -2*l**2 - 48*l.
-2*l*(l + 24)
Find a such that -4*a**2 + 44*a - 40 = 0.
1, 10
Let 32*b**5/3 + 80*b**4/3 + 2*b**3/3 - 76*b**2/3 - 34*b/3 - 4/3 = 0. Calculate b.
-2, -1, -1/4, 1
Find i such that 2*i**3 + 2*i**2 - 64*i - 120 = 0.
-5, -2, 6
Find w, given that 2*w**4/7 + 48*w**3/7 + 288*w**2/7 + 512*w/7 = 0.
-16, -4, 0
Factor 2*x**3/11 - 4204*x**2/11 - 8414*x/11 - 4208/11.
2*(x - 2104)*(x + 1)**2/11
Factor 3*q**4 + 24*q**3 - 1536*q**2 - 18432*q.
3*q*(q - 24)*(q + 16)**2
Determine p, given that 2*p**2 - 84*p - 470 = 0.
-5, 47
Factor 5*n**3 + 160*n**2 - 165*n.
5*n*(n - 1)*(n + 33)
Solve -1156*q**5 - 2108*q**4 + 212*q**3 + 1724*q**2 + 160*q - 400 = 0.
-1, 10/17
Let -l**3/5 + 7*l**2 + 168*l/5 - 468/5 = 0. What is l?
-6, 2, 39
Factor -3*l**4/5 + 1374*l**3/5 - 210672*l**2/5 + 10951296*l/5 - 21070848/5.
-3*(l - 152)**3*(l - 2)/5
Suppose -2*z**2/7 + 488*z/7 - 968/7 = 0. Calculate z.
2, 242
Factor -u**2/6 - 7*u - 39/2.
-(u + 3)*(u + 39)/6
Factor -j**2 - 759*j - 1514.
-(j + 2)*(j + 757)
Determine w, given that -3*w**5 - 81*w**4 - 489*w**3 - 531*w**2 + 2004*w + 3420 = 0.
-19, -5, -3, -2, 2
Determine f, given that 2*f**3/5 + 2*f**2 - 26*f/5 + 14/5 = 0.
-7, 1
Solve -f**4/7 - 5*f**3 - 323*f**2/7 - 289*f/7 = 0 for f.
-17, -1, 0
Let 2*u**2/11 - 112*u/11 + 318/11 = 0. What is u?
3, 53
What is m in m**2/4 + m - 8 = 0?
-8, 4
Factor -u**2/4 + 8*u.
-u*(u - 32)/4
Factor -3*a**4/7 + 9*a**2/7 + 6*a/7.
-3*a*(a - 2)*(a + 1)**2/7
Factor -4*w**3/5 - 1248*w**2/5 + 10176*w/5 - 4096.
-4*(w - 4)**2*(w + 320)/5
Factor b**3 - 162*b**2 - 660*b - 664.
(b - 166)*(b + 2)**2
Factor h**2 + 38*h.
h*(h + 38)
Factor -2*r**3/7 + 2*r**2/7.
-2*r**2*(r - 1)/7
Factor -j**4/2 - 3*j**3/2 + 7*j**2/2 + 15*j/2 - 9.
-(j - 2)*(j - 1)*(j + 3)**2/2
Factor -j**5/5 - 4*j**4/5 - 3*j**3/5.
-j**3*(j + 1)*(j + 3)/5
Solve i**3/7 + 18*i**2/7 + 96*i/7 + 128/7 = 0.
-8, -2
Factor -x**4/4 + 35*x**3/4 - 33*x**2/2.
-x**2*(x - 33)*(x - 2)/4
Let -6*r**3/11 - 17010*r**2/11 - 16074450*r/11 - 5063451750/11 = 0. Calculate r.
-945
Let 2*x**4 - 740*x**3 + 738*x**2 = 0. Calculate x.
0, 1, 369
Find w, given that 3*w**2/7 + 27*w/7 - 858/7 = 0.
-22, 13
Solve 3*j**5 - 21*j**4 - 33*j**3 + 57*j**2 + 114*j + 48 = 0.
-1, 2, 8
Solve -5*t**3 - 40*t**2 = 0.
-8, 0
Factor -3*j**3 - 54*j**2 - 288*j - 480.
-3*(j + 4)**2*(j + 10)
Factor -2*y**3 - 2*y**2 + 4*y.
-2*y*(y - 1)*(y + 2)
Let -2*x**2 + 2732*x + 5472 = 0. What is x?
-2, 1368
Find d, given that -d**2/10 - 4*d/5 - 7/10 = 0.
-7, -1
Suppose -2*j**4/7 + 96*j**3/7 - 1052*j**2/7 - 2400*j/7 - 1250/7 = 0. What is j?
-1, 25
Factor 18*y**2 - 249*y/7 - 6/7.
3*(y - 2)*(42*y + 1)/7
Let -95*c**5 - 485*c**4 + 710*c**3 + 1220*c**2 + 120*c = 0. Calculate c.
-6, -1, -2/19, 0, 2
Factor -4*y**4 + 8*y**3 - 4*y**2.
-4*y**2*(y - 1)**2
Factor 5*g**4 - 270*g**3 + 260*g**2 + 270*g - 265.
5*(g - 53)*(g - 1)**2*(g + 1)
Factor g**4/3 + 107*g**3/3 - 110*g**2/3 - 72*g.
g*(g - 2)*(g + 1)*(g + 108)/3
Find b such that 2*b**5/7 + 62*b**4/7 + 582*b**3/7 + 1178*b**2/7 - 5200*b/7 - 16224/7 = 0.
-13, -4, 3
What is z in 2*z**2/5 + 14*z/5 + 12/5 = 0?
-6, -1
Let -b**5 + 18*b**4 - 33*b**3 + 16*b**2 = 0. What is b?
0, 1, 16
Let -3*q**5 - 1041*q**4 + 2094*q**3 - 6*q**2 - 2091*q + 1047 = 0. What is q?
-349, -1, 1
Factor 3*d**2 - 810*d + 54675.
3*(d - 135)**2
Factor -4*a**3 - 104*a**2 - 560*a + 1568.
-4*(a - 2)*(a + 14)**2
Factor 2*q**5 - 6*q**4 + 2*q**3 + 6*q**2 - 4*q.
2*q*(q - 2)*(q - 1)**2*(q + 1)
Factor 2*h**5 + 4*h**4 - 2*h**3 - 4*h**2.
2*h**2*(h - 1)*(h + 1)*(h + 2)
Solve -4*o**3/7 + 10*o**2 + 96*o - 1152/7 = 0.
-8, 3/2, 24
Solve m**4 + 118*m**3 + 116*m**2 - 118*m - 117 = 0.
-117, -1, 1
Factor -k**3/2 - 85*k**2 - 1734*k + 176868.
-(k - 34)*(k + 102)**2/2
Factor -t**3/2 - t**2 + 11*t/2 + 6.
-(t - 3)*(t + 1)*(t + 4)/2
Suppose 2*x**3/11 + 64*x**2/11 - 206*x/11 + 140/11 = 0. What is x?
-35, 1, 2
Factor -2*d**4/5 - 112*d**3/5 + 114*d**2/5.
-2*d**2*(d - 1)*(d + 57)/5
Solve 6*r**4/5 - 26*r**3 + 892*r**2/5 - 1848*r/5 - 144 = 0 for r.
-1/3, 6, 10
Factor -w**3 - 15*w**2 + 121*w + 855.
-(w - 9)*(w + 5)*(w + 19)
What is c in -3*c**2 + 2469*c - 2466 = 0?
1, 822
Factor 5*l**2 + 340*l - 345.
5*(l - 1)*(l + 69)
Let -49*y**4/2 + 49*y**3 + 2*y**2 - 4*y = 0. What is y?
-2/7, 0, 2/7, 2
Factor 4*a**4 - 512*a**2 + 16384.
4*(a - 8)**2*(a + 8)**2
Factor 2*k**3/7 + 6*k**2/7 + 6*k/7 + 2/7.
2*(k + 1)**3/7
Let 3*t**2/2 + 4716*t + 3706776 = 0. What is t?
-1572
Factor 3*c**3 - 24*c**2 + 60*c - 48.
3*(c - 4)*(c - 2)**2
Find f such that -3*f**2 - 48*f - 84 = 0.
-14, -2
What is n in 2*n**2/3 - 32*n/3 = 0?
0, 16
Factor 2*q**4/7 + 58*q**3/7 - 192*q**2/7.
2*q**2*(q - 3)*(q + 32)/7
Factor 3*q**2 + 876*q + 63948.
3*(q + 146)**2
Find l, given that -l**4/5 - 6*l**3/5 + 3*l**2 - 8*l/5 = 0.
-8, 0, 1
Factor 3*a**5 - 3*a**4 - 36*a**3 + 84*a**2 - 48*a.
3*a*(a - 2)**2*(a - 1)*(a + 4)
Let b**5 + 9*b**4 - 101*b**3 - 729*b**2 + 1720*b - 900 = 0. What is b?
-10, 1, 9
Let -96*z**5 - 1328*z**4 + 1690*z**3 + 128*z**2 - 334*z - 60 = 0. What is z?
-15, -1/4, 2/3, 1
Factor -4*l**2/9 + 2848*l/9 - 2836/3.
-4*(l - 709)*(l - 3)/9
Solve -3*j**4 + 72*j**3 + 1755*j**2 = 0 for j.
-15, 0, 39
Factor o**5/3 - 4*o**4/3 + 5*o**3/3 - 2*o**2/3.
o**2*(o - 2)*(o - 1)**2/3
Let -3*p**4 - 90*p**3 - 672*p**2 + 90*p + 675 = 0. What is p?
-15, -1, 1
Factor -2*j**2 + 38*j + 1560.
-2*(j - 39)*(j + 20)
Find q such that -q**2/2 - 87*q/2 + 89 = 0.
-89, 2
Let w**2/5 - 2612*w/5 + 1705636/5 = 0. What is w?
1306
Suppose -2*q**2/7 + 1208*q/7 - 182408/7 = 0. What is q?
302
Factor -a**4 + 11*a**3 + 39*a**2 + 41*a + 14.
-(a - 14)*(a + 1)**3
Determine q so that 3*q**3/4 + 45*q**2/2 - 282*q + 720 = 0.
-40, 4, 6
Let -3*a**3/4 - 15*a**2/2 + 39*a/4 + 33/2 = 0. What is a?
-11, -1, 2
Suppose 2*q**3/5 + 4*q**2/5 - 336*q = 0. Calculate q.
-30, 0, 28
Let -t**5/8 + 3*t**4/2 + 19*t**3/2 + 73*t**2/4 + 117*t/8 + 17/4 = 0. What is t?
-2, -1, 17
Let -l**5/2 + 27*l**4/8 - 53*l**3/8 + 21*l**2/8 + 9*l/8 = 0. Calculate l.
-1/4, 0, 1, 3
Factor 2*z**4/3 + 16*z**3 + 42*z**2.
2*z**2*(z + 3)*(z + 21)/3
Factor j**2/8 - 17*j/4 - 111/8.
(j - 37)*(j + 3)/8
Factor -y**3/5 - 1304*y**2/5 + y/5 + 1304/5.
-(y - 1)*(y + 1)*(y + 1304)/5
Factor -3*l**3 - 68*l**2 - 313*l + 112.
-(l + 7)*(l + 16)*(3*l - 1)
Factor 5*h**2 - 26040*h + 33904080.
5*(h - 2604)**2
Factor 5*d**3 - 330*d**2 + 7260*d - 53240.
5*(d - 22)**3
Factor 5*m**4 - 50*m**3 - 195*m**2.
5*m**2*(m - 13)*(m + 3)
Find b, given that -2*b**3 + 24*b**2 + 98*b - 120 = 0