 - 30*x**2 + 59*x/2 = 0 for x.
0, 1, 59
Find u such that 2*u**3/11 - 2*u**2/11 - 10*u/11 - 6/11 = 0.
-1, 3
Factor o**3/2 + 19*o**2/2 - 13*o - 60.
(o - 3)*(o + 2)*(o + 20)/2
Suppose 15*y**4 - 5*y**3 - 105*y**2 + 125*y - 30 = 0. What is y?
-3, 1/3, 1, 2
What is a in -2*a**5/11 - 24*a**4/11 - 58*a**3/11 + 76*a**2/11 + 240*a/11 + 128/11 = 0?
-8, -4, -1, 2
Factor 2*x**3 + 330*x**2 - 1712*x - 2040.
2*(x - 6)*(x + 1)*(x + 170)
Solve -2*l**5 + 2*l**4 + 14*l**3 - 26*l**2 + 12*l = 0 for l.
-3, 0, 1, 2
Factor -2*b**2/5 - 536*b/5 - 35912/5.
-2*(b + 134)**2/5
Factor 3*g**4 - 114*g**3 + 951*g**2 + 2760*g - 3600.
3*(g - 20)**2*(g - 1)*(g + 3)
Determine a so that -20*a**3/3 + 76*a**2 + 704*a/3 + 112 = 0.
-2, -3/5, 14
Determine w so that w**2/3 - 13*w/3 + 40/3 = 0.
5, 8
Factor -6*u**2/7 - 450*u/7 + 456/7.
-6*(u - 1)*(u + 76)/7
Factor -3*l**2 - 3882*l - 3879.
-3*(l + 1)*(l + 1293)
Let -2*y**2 - 1588*y = 0. Calculate y.
-794, 0
Solve -2*i**3/3 - 230*i**2/3 - 76*i = 0 for i.
-114, -1, 0
Factor 3*z**5 + 393*z**4 + 16617*z**3 + 202095*z**2 - 1020600*z + 1093500.
3*(z - 2)**2*(z + 45)**3
Find j such that -3*j**2/4 - 186*j + 375 = 0.
-250, 2
Suppose 2*a**4/11 + 2*a**3/11 - 8*a**2/11 - 8*a/11 = 0. What is a?
-2, -1, 0, 2
Factor d**2 - 67*d.
d*(d - 67)
Let -2*q**3/11 + 16*q**2/11 + 122*q/11 + 104/11 = 0. What is q?
-4, -1, 13
Factor 5*a**5/4 - 175*a**4 + 6125*a**3.
5*a**3*(a - 70)**2/4
Suppose 2*v**4/3 + 64*v**3/3 + 704*v**2/3 + 1024*v + 1536 = 0. Calculate v.
-12, -4
Factor -5*f**3 - 1320*f**2 + 2655*f - 1330.
-5*(f - 1)**2*(f + 266)
What is z in -6*z**4/5 - 267*z**3/5 - 642*z**2/5 - 507*z/5 - 126/5 = 0?
-42, -1, -1/2
What is w in 4*w**4 + 40*w**3 + 84*w**2 - 16*w - 112 = 0?
-7, -2, 1
Find a such that -15*a**2 + 291*a/4 + 45/4 = 0.
-3/20, 5
Solve y**5 - 9*y**4 - 22*y**3 - 2*y**2 + 21*y + 11 = 0 for y.
-1, 1, 11
Find a such that -2*a**4/7 - 10*a**3/7 - 8*a**2/7 = 0.
-4, -1, 0
Find x, given that -3*x**5 - 891*x**4 - 885*x**3 + 891*x**2 + 888*x = 0.
-296, -1, 0, 1
Factor -8*b**4/15 - 8*b**3/5 - 2*b**2/15 + 8*b/5 - 8/15.
-2*(b + 2)**2*(2*b - 1)**2/15
Factor -l**3 + 910*l**2 + l - 910.
-(l - 910)*(l - 1)*(l + 1)
Factor q**3/3 + 8*q**2 + 41*q/3 - 22.
(q - 1)*(q + 3)*(q + 22)/3
Factor m**5 - 5*m**4 - 8*m**3 + 12*m**2.
m**2*(m - 6)*(m - 1)*(m + 2)
Factor 5*y**4/3 + 14*y**3/3 - y**2.
y**2*(y + 3)*(5*y - 1)/3
Determine p so that -p**4/8 - 7*p**3/8 - 2*p**2 - 3*p/2 = 0.
-3, -2, 0
Factor -x**4 + 2*x**3 + 8*x**2.
-x**2*(x - 4)*(x + 2)
Let 9*n**4 - 960*n**3 + 627*n**2 + 960*n - 636 = 0. Calculate n.
-1, 2/3, 1, 106
Factor -4*o**2 - 340*o - 1296.
-4*(o + 4)*(o + 81)
Factor -m**3/8 - 23*m**2/4 + 95*m/8 - 6.
-(m - 1)**2*(m + 48)/8
Let -2*u**2/7 + 3648*u/7 - 1663488/7 = 0. What is u?
912
Factor -3*j**3/2 + 24*j**2 - 105*j/2 - 78.
-3*(j - 13)*(j - 4)*(j + 1)/2
Factor 2*n**3/7 - 30*n**2/7 + 52*n/7 + 240/7.
2*(n - 12)*(n - 5)*(n + 2)/7
Factor 3*k**2 - 9*k - 12.
3*(k - 4)*(k + 1)
What is q in 27*q**4 + 21*q**3 - 33*q**2 - 21*q + 6 = 0?
-1, 2/9, 1
Solve 2*j**5 - 30*j**4 + 16*j**3 + 176*j**2 - 96*j - 224 = 0 for j.
-2, -1, 2, 14
Factor d**5/2 + 4*d**4 + 5*d**3/2 - 19*d**2 + 12*d.
d*(d - 1)**2*(d + 4)*(d + 6)/2
Solve 81*n**4/2 + 1791*n**3/2 + 95*n**2 - 266*n/3 - 44/3 = 0.
-22, -2/9, 1/3
Find c such that 4*c**4 - 24*c**3 + 20*c**2 + 48*c = 0.
-1, 0, 3, 4
Factor 3*t**2 - 180*t - 183.
3*(t - 61)*(t + 1)
Factor v**3 - 22*v**2 + 121*v.
v*(v - 11)**2
Factor -l**3 + 2*l**2 + 24*l.
-l*(l - 6)*(l + 4)
Factor 3*x**5/2 - 15*x**4 + 51*x**3/2 - 12*x**2.
3*x**2*(x - 8)*(x - 1)**2/2
What is j in 4*j**3 + 8*j**2 - 76*j - 80 = 0?
-5, -1, 4
Find b such that -3*b**3/4 - 51*b**2/4 = 0.
-17, 0
Factor -r**3/4 + r**2/2 + 13*r/4 + 5/2.
-(r - 5)*(r + 1)*(r + 2)/4
What is p in 5*p**2 + 400*p - 820 = 0?
-82, 2
Suppose -3*b**4 + 246*b**3 - 2235*b**2 + 5400*b = 0. Calculate b.
0, 5, 72
Factor 2*v**4/11 + 4*v**3/11 - 6*v**2/11.
2*v**2*(v - 1)*(v + 3)/11
Determine m so that 2*m**4 + 16*m**3 + 22*m**2 - 16*m - 24 = 0.
-6, -2, -1, 1
Let 4*k**3 + 50*k**2 + 62*k - 44 = 0. Calculate k.
-11, -2, 1/2
Factor -4*u**3 - 248*u**2 - 4080*u - 7200.
-4*(u + 2)*(u + 30)**2
What is w in -5*w**4 - 115*w**3 + 245*w**2 - 125*w = 0?
-25, 0, 1
Factor -3*t**3 - 9*t**2 + 27*t + 81.
-3*(t - 3)*(t + 3)**2
Factor 9*a**3 - 591*a**2 + 387*a + 195.
3*(a - 65)*(a - 1)*(3*a + 1)
Factor x**2 - 53*x + 52.
(x - 52)*(x - 1)
Let o**5/2 - 4*o**4 - 19*o**3/2 - 5*o**2 = 0. What is o?
-1, 0, 10
Find q such that 15*q**5 - 9*q**4 - 156*q**3 - 180*q**2 - 48*q = 0.
-2, -1, -2/5, 0, 4
Determine u, given that -2*u**3/15 + 4*u**2/15 + 14*u/15 + 8/15 = 0.
-1, 4
Factor -j**5 - 10*j**4 + 14*j**3 + 28*j**2 - 53*j + 22.
-(j - 1)**3*(j + 2)*(j + 11)
Factor 2*l**2/3 + 1120*l + 470400.
2*(l + 840)**2/3
Solve 25*n**4 + 270*n**3 - 705*n**2 + 130*n = 0 for n.
-13, 0, 1/5, 2
Find t such that t**4/6 - 9*t**3/2 - t**2/6 + 9*t/2 = 0.
-1, 0, 1, 27
What is i in -2*i**4/11 + 126*i**3/11 - 2958*i**2/11 + 30634*i/11 - 117912/11 = 0?
12, 17
Factor -5*d**3 + 110*d**2 + 500*d + 520.
-5*(d - 26)*(d + 2)**2
Factor -a**5 - 2*a**4 + 8*a**3 - 2*a**2 - 7*a + 4.
-(a - 1)**3*(a + 1)*(a + 4)
Suppose h**5/2 + 217*h**4/2 + 847*h**3 + 2311*h**2 + 5025*h/2 + 1881/2 = 0. Calculate h.
-209, -3, -1
Factor 2*t**4/9 - 944*t**3/3 + 167088*t**2 - 39432768*t + 3489799968.
2*(t - 354)**4/9
Factor 4*b**4 - 300*b**3 + 3612*b**2 - 11956*b.
4*b*(b - 61)*(b - 7)**2
What is a in -a**2 + 30*a - 81 = 0?
3, 27
Determine o so that -2*o**2 + 288*o - 10368 = 0.
72
Factor i**5 + 6*i**4 - 8*i**3 - 6*i**2 + 7*i.
i*(i - 1)**2*(i + 1)*(i + 7)
Factor -5*y**4/4 + 165*y**3 - 14835*y**2/2 + 120185*y - 1192605/4.
-5*(y - 43)**3*(y - 3)/4
What is q in 2*q**4 - 6*q**3 = 0?
0, 3
Solve 3*o**3/2 - 273*o**2/2 - 138*o = 0.
-1, 0, 92
Factor -4*j**3 - 128*j**2 + 132*j.
-4*j*(j - 1)*(j + 33)
Solve -64*g**5 - 778*g**4/3 - 808*g**3/3 - 40*g**2/3 = 0.
-2, -5/96, 0
Factor -m**4/4 - 29*m**3/2 - 55*m**2/4 + 57*m/2.
-m*(m - 1)*(m + 2)*(m + 57)/4
Solve -14*l**5 - 247*l**4/3 - 185*l**3/3 + 382*l**2/3 + 164*l/3 - 24 = 0.
-9/2, -2, -2/3, 2/7, 1
Factor -4*p**4 + 68*p**3 - 212*p**2 - 644*p - 360.
-4*(p - 10)*(p - 9)*(p + 1)**2
Factor -3*k**3 + 27*k**2 - 42*k.
-3*k*(k - 7)*(k - 2)
Find z, given that 21*z**2 - 2652*z + 756 = 0.
2/7, 126
What is m in -3*m**2 + 21*m + 132 = 0?
-4, 11
Let -3*v**3 - 252*v**2 + 3825*v + 4074 = 0. Calculate v.
-97, -1, 14
Determine n, given that -n**3/3 + 710*n**2/3 + 1424*n/3 = 0.
-2, 0, 712
What is p in -2*p**2/7 - 8*p - 56 = 0?
-14
Suppose -2*s**2 - 58*s - 156 = 0. What is s?
-26, -3
Let -4*z**3 - 252*z**2 - 248*z = 0. What is z?
-62, -1, 0
Factor -h**4/10 + 9*h**3/10 - 2*h**2.
-h**2*(h - 5)*(h - 4)/10
Let -4*q**3/7 + 60*q**2/7 - 300*q/7 + 500/7 = 0. What is q?
5
Solve -q**4/7 - 38*q**3/7 - 396*q**2/7 - 648*q/7 = 0.
-18, -2, 0
Factor j**4/5 + j**3 - 4*j**2/5 - 4*j.
j*(j - 2)*(j + 2)*(j + 5)/5
Solve 3*t**2 + 3780*t + 1190700 = 0 for t.
-630
Find k such that k**3 + 97*k**2 - 197*k + 99 = 0.
-99, 1
Factor 5*g**3 + 45*g**2 + 115*g + 75.
5*(g + 1)*(g + 3)*(g + 5)
Factor 2*x**5/13 + 2*x**4/13 - 40*x**3/13.
2*x**3*(x - 4)*(x + 5)/13
Find v such that 15*v**5 - 47*v**4 - 54*v**3 + 8*v**2 = 0.
-1, 0, 2/15, 4
Factor 5*o**2 + 480*o + 11520.
5*(o + 48)**2
Factor k**4 - 204*k**3 + 201*k**2 + 406*k.
k*(k - 203)*(k - 2)*(k + 1)
Determine h, given that -25*h**4 - 595*h**3 + 3745*h**2 - 725*h = 0.
-29, 0, 1/5, 5
Determine b, given that 8*b**5 - 14*b**4 - 108*b**3 + 278*b**2 - 116*b - 48 = 0.
-4, -1/4, 1, 2, 3
Factor -5*x**2 - 940*x - 44180.
-5*(x + 94)**2
Factor 2*u**3/3 + 12*u**2 + 22*u + 32/3.
2*(u + 1)**2*(u + 16)/3
Solve j**5/8 + 3*j**4/4 - 5*j**3/4 - 13*j**2/2 + 105*j/8 - 25/4 = 0.
-5, 1, 2
Let -28*y**5 - 440*y**4 - 1020*y**3 - 400*y**2 + 208*y = 0. What is y?
-13, -2, -1, 0, 2/7
Factor 4*m**5/7 - 76*m**4/7 + 20*m**3 - 68*m**2/7.
4*m**2*(m - 17)*(m - 1)**2/7
Suppose 3*o**2 + 312*o + 8112 = 0. Calculate o.
-52
Suppose -5*w**4 - 35*w**3 + 460*w**2 - 420*w = 0. What is w?
-14, 0, 1, 6
Find c, given that -3*c**5 + 24*c**4 - 72*c**3 + 102*c**2 - 69*c + 18 = 0.
1, 2, 3
Factor -3*n**3/2 - 15*n**2 + 36*n.
-3*n*(n - 2)*(n + 12)/2
Factor -3*q**4 + 87*q**3 + 1332*q**2 + 5712*q + 7872.
-3*(q - 41)*(q + 4)**3
Let y**5/6 - y**4/2 - 59*y**3/6 - 35*y**2/2 - 25*y/3 = 0. Calculate y.
-5, -1, 0, 10
Suppose 3*f**2 + 159*f - 330 = 0. What is f?
-55, 2
Let 9