e -15*x**2/4 - 27*x/2 - 12 = 0 for x.
-2, -8/5
Determine f, given that 2*f**3/5 + 396*f**2 - 3966*f/5 + 1984/5 = 0.
-992, 1
Let 4*w**3/3 - 16*w**2/3 - 20*w + 24 = 0. What is w?
-3, 1, 6
Factor -4*u**4 + 36*u**2.
-4*u**2*(u - 3)*(u + 3)
Factor 2*r**2/3 - 1114*r/3 - 2236/3.
2*(r - 559)*(r + 2)/3
Factor -l**5/10 + 7*l**4/10 - 19*l**3/10 + 5*l**2/2 - 8*l/5 + 2/5.
-(l - 2)**2*(l - 1)**3/10
Factor -2*k**2/7 + 44*k/7 - 6.
-2*(k - 21)*(k - 1)/7
Determine g, given that 2*g**4 + 22*g**3 + 30*g**2 - 54*g = 0.
-9, -3, 0, 1
Factor -2*l**2/5 - 294*l/5 - 292/5.
-2*(l + 1)*(l + 146)/5
Factor -5*a**3/4 + 192*a**2 - 29337*a/4 - 5929/2.
-(a - 77)**2*(5*a + 2)/4
Suppose 4*f**4 - 20*f**3 + 20*f**2 + 20*f - 24 = 0. Calculate f.
-1, 1, 2, 3
Factor -n**2/3 - 113*n - 674/3.
-(n + 2)*(n + 337)/3
Let -10*w**3/3 - 31*w**2/3 - 23*w/3 - 2/3 = 0. Calculate w.
-2, -1, -1/10
Let 3*d**3 + 2652*d**2 + 580752*d - 2365632 = 0. Calculate d.
-444, 4
Factor -2*u**3 - 4*u**2 + 768*u + 6336.
-2*(u - 22)*(u + 12)**2
Solve -35*i**5 - 115*i**4 - 30*i**3 + 140*i**2 + 40*i = 0 for i.
-2, -2/7, 0, 1
Factor 3*w**4 + 84*w**3 + 666*w**2 + 1860*w + 1275.
3*(w + 1)*(w + 5)**2*(w + 17)
Solve -2*o**2/3 - 2*o + 56/3 = 0.
-7, 4
Let 3*g**3 + 30*g**2 + 57*g - 90 = 0. What is g?
-6, -5, 1
Solve 2*d**4 - 22*d**3 = 0.
0, 11
What is x in -x**4 - 8*x**3 - 14*x**2 + 8*x + 15 = 0?
-5, -3, -1, 1
Suppose -3*s**5/5 + 6*s**4/5 + 3*s**3/5 - 6*s**2/5 = 0. What is s?
-1, 0, 1, 2
Suppose -4*d**4 + 52*d**3 - 200*d**2 + 224*d = 0. What is d?
0, 2, 4, 7
Factor -5*i**3 - 4895*i**2 - 1195600*i + 1200500.
-5*(i - 1)*(i + 490)**2
Suppose g**5/5 + 16*g**4/5 + 37*g**3/5 - 126*g**2/5 + 72*g/5 = 0. What is g?
-12, -6, 0, 1
Determine y so that -y**3/8 - 9*y**2/2 = 0.
-36, 0
Let -4*t**2 - 27664*t - 47831056 = 0. Calculate t.
-3458
Factor -w**2/5 + 21*w/5.
-w*(w - 21)/5
What is v in 2*v**2/3 + 34*v + 196/3 = 0?
-49, -2
Determine z so that -3*z**5/5 - 63*z**4/5 + 222*z**3/5 + 108*z**2/5 - 168*z + 576/5 = 0.
-24, -2, 1, 2
Let -69*j**2 - 420*j = 0. Calculate j.
-140/23, 0
Factor 2*o**4/9 - 8*o**3/9 + 2*o**2/3.
2*o**2*(o - 3)*(o - 1)/9
Factor -k**3/4 - 15*k**2/4 + 13*k - 9.
-(k - 2)*(k - 1)*(k + 18)/4
Solve 2*v**4 + 40*v**3 + 192*v**2 + 352*v + 224 = 0 for v.
-14, -2
Factor 2*a**3/5 + 8*a**2.
2*a**2*(a + 20)/5
Determine d, given that d**4/3 - 191*d**3 = 0.
0, 573
Solve 18*s**5 + 19*s**4 - 17*s**3 - 19*s**2 - s = 0.
-1, -1/18, 0, 1
Factor -z**4 - 10*z**3 + 47*z**2 + 360*z - 1296.
-(z - 4)**2*(z + 9)**2
Let v**5/6 - 19*v**4/6 + 49*v**3/3 - 31*v**2/3 - 33*v/2 + 27/2 = 0. Calculate v.
-1, 1, 9
Factor -p**5 - 3*p**4 + 27*p**3 + 135*p**2 + 162*p.
-p*(p - 6)*(p + 3)**3
Solve -5*s**2 + 215*s = 0 for s.
0, 43
Solve 2*w**4/13 - 46*w**3/13 + 162*w**2/13 - 194*w/13 + 76/13 = 0.
1, 2, 19
Let -2*n**2 - 420*n - 4752 = 0. What is n?
-198, -12
Factor z**3 + 6*z**2 - 4*z - 24.
(z - 2)*(z + 2)*(z + 6)
Solve -v**4/4 + 2*v**3 - 23*v**2/4 + 7*v - 3 = 0 for v.
1, 2, 3
Determine b, given that -b**3 - 9*b**2 + 648*b + 8748 = 0.
-18, 27
Factor -2*s**4 + 234*s**3 - 6726*s**2 - 6962*s.
-2*s*(s - 59)**2*(s + 1)
Factor 2*w**3/5 - 6*w**2/5 - 8*w/5.
2*w*(w - 4)*(w + 1)/5
Let -5*n**3/4 - 105*n**2/4 + 205*n/2 + 300 = 0. Calculate n.
-24, -2, 5
Factor -3*m**4 - 123*m**3 - 117*m**2 + 123*m + 120.
-3*(m - 1)*(m + 1)**2*(m + 40)
Factor -c**2/2 + 133*c - 1305/2.
-(c - 261)*(c - 5)/2
Find u, given that -10*u**3/7 - 164*u**2/7 + 296*u/7 + 144/7 = 0.
-18, -2/5, 2
Factor 4*m**4 - 28*m**3 + 44*m**2 - 20*m.
4*m*(m - 5)*(m - 1)**2
Determine j, given that -j**3/4 - 9*j**2/4 - 6*j - 5 = 0.
-5, -2
Factor 2*r**2 + 920*r + 105800.
2*(r + 230)**2
Find t such that -t**3/6 + t**2/6 + 61*t/3 + 20 = 0.
-10, -1, 12
What is f in -4*f**5 - 180*f**4 - 2700*f**3 - 15660*f**2 - 38880*f - 34992 = 0?
-18, -3
Factor 3*k**2 + 4584*k + 1751088.
3*(k + 764)**2
Find d such that -d**2 - 32*d - 156 = 0.
-26, -6
Let -r**5/2 - 373*r**4/2 - 739*r**3 - 367*r**2 + 1479*r/2 + 1107/2 = 0. What is r?
-369, -3, -1, 1
Let 3*k**4/4 - 3*k**3 + 15*k**2/4 - 3*k/2 = 0. Calculate k.
0, 1, 2
Determine c so that -2*c**5/5 - 38*c**4/5 - 22*c**3 + 30*c**2 = 0.
-15, -5, 0, 1
Factor 4*j**2 - 22960*j + 32947600.
4*(j - 2870)**2
What is r in 8*r**5/7 + 2*r**4/7 - 24*r**3/7 + 10*r**2/7 + 4*r/7 = 0?
-2, -1/4, 0, 1
Determine r so that 297*r**3/8 + 897*r**2/4 + 318*r + 60 = 0.
-4, -20/11, -2/9
Factor -5*l**3 - 160*l**2 - 580*l - 560.
-5*(l + 2)**2*(l + 28)
Solve t**3/4 - 171*t**2/4 + 7395*t/4 - 7225/4 = 0 for t.
1, 85
Find c such that -5*c**2 - 1390*c - 96605 = 0.
-139
Factor 3*i**4/5 + 3354*i**3/5 + 1252152*i**2/5 + 156927456*i/5 + 308873088/5.
3*(i + 2)*(i + 372)**3/5
What is k in -5*k**3 - 45*k**2 - 120*k - 100 = 0?
-5, -2
Let -3*g**5 - 108*g**4 + 3*g**3 + 108*g**2 = 0. What is g?
-36, -1, 0, 1
Determine s, given that 3*s**4 + 3*s**3 - 372*s**2 - 1092*s - 720 = 0.
-10, -2, -1, 12
Factor x**2/2 + 11*x/2 + 5.
(x + 1)*(x + 10)/2
Factor -3*m**4 + 96*m**3 + 342*m**2 - 960*m + 525.
-3*(m - 35)*(m - 1)**2*(m + 5)
Factor 5*h**3 - 40*h**2 + 105*h - 90.
5*(h - 3)**2*(h - 2)
Factor 4*m**3 + 44*m**2 + 72*m.
4*m*(m + 2)*(m + 9)
Suppose 3*n**5 + 433*n**4/5 - 58*n**3/5 = 0. What is n?
-29, 0, 2/15
Find w, given that -12*w**4/7 + 27*w**3/7 + 54*w**2/7 - 87*w/7 + 18/7 = 0.
-2, 1/4, 1, 3
Determine a so that -4*a**2/5 + 168*a/5 - 164/5 = 0.
1, 41
Factor 2*p**3 + 524*p**2 + 34840*p + 67600.
2*(p + 2)*(p + 130)**2
Determine u so that -4*u**3 + 440*u**2 - 12528*u + 23328 = 0.
2, 54
Solve x**2/3 + 241*x/3 + 316 = 0 for x.
-237, -4
Determine a, given that 3*a**5/2 + 15*a**4/2 - 27*a**3/2 - 123*a**2/2 + 48*a + 90 = 0.
-5, -3, -1, 2
Factor 3*w**4 - 9*w**3 - 27*w**2 - 15*w.
3*w*(w - 5)*(w + 1)**2
Determine a so that 22*a**3/3 + 100*a**2/3 + 136*a/3 + 16 = 0.
-2, -6/11
Determine i so that -2*i**4 + 66*i**3 - 510*i**2 - 578*i = 0.
-1, 0, 17
Suppose j**3/4 - 2*j**2 = 0. What is j?
0, 8
Factor 5*y**3/4 + 1145*y**2 + 2285*y.
5*y*(y + 2)*(y + 914)/4
Find r such that -5*r**4 - 10*r**3 + 65*r**2 - 50*r = 0.
-5, 0, 1, 2
Factor -y**2/2 + 6*y + 13/2.
-(y - 13)*(y + 1)/2
Let -2*j**4 - 34*j**3/5 - 2*j**2/5 + 34*j/5 + 12/5 = 0. Calculate j.
-3, -1, -2/5, 1
Find u such that 2*u**4/3 + 74*u**3 + 6266*u**2/3 + 1870*u - 12100/3 = 0.
-55, -2, 1
Factor i**3 - 8*i**2 - 44*i - 48.
(i - 12)*(i + 2)**2
Find n, given that -15*n**3 - 155*n**2 - 50*n = 0.
-10, -1/3, 0
Factor r**2 + 184*r/3 + 181/3.
(r + 1)*(3*r + 181)/3
Determine m so that 2*m**5/21 + 22*m**4/21 - 50*m**3/21 + 26*m**2/21 = 0.
-13, 0, 1
Factor -2*k**2/17 + 254*k/17 - 252/17.
-2*(k - 126)*(k - 1)/17
Factor -85*t**2/6 + 175*t/2 - 15.
-5*(t - 6)*(17*t - 3)/6
Solve i**2/2 - 2334*i + 2723778 = 0.
2334
Factor 3*z**2/4 + 486*z + 78732.
3*(z + 324)**2/4
Factor 3*h**2 + 420*h + 14700.
3*(h + 70)**2
Suppose -o**2/2 + 15*o - 81/2 = 0. What is o?
3, 27
Determine b so that -10*b**5/7 + 114*b**4/7 - 374*b**3/7 + 26*b**2 + 480*b/7 - 200/7 = 0.
-1, 2/5, 2, 5
Factor g**4/5 - 6*g**3/5 - 127*g**2/5 - 24*g.
g*(g - 15)*(g + 1)*(g + 8)/5
Factor -2*x**2 - 368*x.
-2*x*(x + 184)
Factor n**2/2 + 13*n/2 + 20.
(n + 5)*(n + 8)/2
Factor -2*r**2/15 - 704*r/5 - 185856/5.
-2*(r + 528)**2/15
Factor -5*i**3 + 75*i**2 - 240*i - 320.
-5*(i - 8)**2*(i + 1)
Factor 3*n**2 + 36*n - 135.
3*(n - 3)*(n + 15)
Suppose r**3 - 1292*r**2 + 417316*r = 0. What is r?
0, 646
Let -2*b**3/17 - 2*b**2/17 + 12*b/17 = 0. Calculate b.
-3, 0, 2
What is f in 3*f**4 - 168*f**3 + 2349*f**2 + 168*f - 2352 = 0?
-1, 1, 28
Factor -1444*w**2/7 + 988*w/7 - 169/7.
-(38*w - 13)**2/7
Find i, given that -2*i**2/3 - 482*i/3 = 0.
-241, 0
Let -d**3 - 452*d**2 + 908*d = 0. Calculate d.
-454, 0, 2
Factor -5*n**4 + 10*n**3 + 15*n**2.
-5*n**2*(n - 3)*(n + 1)
What is z in z**5/7 + 2*z**4/7 - 2*z**3/7 - 4*z**2/7 + z/7 + 2/7 = 0?
-2, -1, 1
Determine x so that -x**2 - 52*x - 667 = 0.
-29, -23
Let 8*p**2 - 22*p + 12 = 0. What is p?
3/4, 2
Solve -2*p**3/13 + 100*p**2/13 + 318*p/13 = 0.
-3, 0, 53
Factor 4*w**2 + 364*w - 2328.
4*(w - 6)*(w + 97)
Factor 3*j**5 + 9*j**4 + 3*j**3 - 9*j**2 - 6*j.
3*j*(j - 1)*(j + 1)**2*(j + 2)
Solve -4*r**2 - 4*r + 120 = 0.
-6, 5
Let -2*y**5/11 + 78*y**4/11 + 850*y**3/11 + 690*y**2/11 - 848*y/11 - 768/11 = 0. Calculate y.
-8, -1, 1, 48
Factor 2*z**4/5 - 16*z**3/5 - 24*z**2/5 + 288*z/5.
2*z*(z - 6)**2*(z + 4)/5
Find a, given that -9*a**3/2 - 98*a**2 + 22*a = 0.
-22, 0