 k so that 8*k**3 - 36*k**2 + 52*k - 24 = 0.
1, 3/2, 2
Factor 3*r**3/2 - 1053*r**2/2 + 123201*r/2 - 4804839/2.
3*(r - 117)**3/2
Factor 3*l**4 - 48*l**3 + 189*l**2 + 48*l - 192.
3*(l - 8)**2*(l - 1)*(l + 1)
Factor r**3 - 8*r**2 + 19*r - 12.
(r - 4)*(r - 3)*(r - 1)
Factor -3*p**2 - 1230*p - 126075.
-3*(p + 205)**2
Let 4*w**3 + 324*w**2 + 5496*w - 5824 = 0. Calculate w.
-56, -26, 1
Factor i**2/4 - 12*i - 25.
(i - 50)*(i + 2)/4
Solve -5*n**3 - 3585*n**2 - 633555*n + 3258025 = 0.
-361, 5
What is l in 3*l**2/7 + 45*l/7 + 78/7 = 0?
-13, -2
Solve 3*g**3 - 600*g**2 - 1209*g - 606 = 0 for g.
-1, 202
Suppose -2*p**3/7 - 30*p**2/7 + 594*p/7 - 1458/7 = 0. Calculate p.
-27, 3, 9
Suppose 32*m**5 + 68*m**4 - 1016*m**3 - 3200*m**2 - 384*m = 0. Calculate m.
-4, -1/8, 0, 6
What is u in -3*u**3/8 - 39*u**2/2 - 843*u/8 - 345/4 = 0?
-46, -5, -1
Let -2*v**2 - 6*v = 0. What is v?
-3, 0
Solve q**2/4 + 455*q/4 + 1125/2 = 0.
-450, -5
Factor -7*z**2/2 + 2*z + 3/2.
-(z - 1)*(7*z + 3)/2
Factor 2*p**2/7 + 6124*p/7 + 4687922/7.
2*(p + 1531)**2/7
Factor -3*p**2/5 - 15*p - 72/5.
-3*(p + 1)*(p + 24)/5
Factor -2*g**5 + 16*g**4 + 38*g**3 + 20*g**2.
-2*g**2*(g - 10)*(g + 1)**2
What is k in 7*k**3 + 38*k**2/5 - 67*k/5 - 6/5 = 0?
-2, -3/35, 1
Factor 45*m**2 + 429*m + 384.
3*(m + 1)*(15*m + 128)
Let 2*y**4/15 - 16*y**3/5 + 96*y**2/5 = 0. What is y?
0, 12
Suppose 3*a**2 + 2406*a = 0. What is a?
-802, 0
What is h in 5*h**2 - 20*h + 20 = 0?
2
Solve -2*g**4/5 - 12*g**3/5 + 6*g**2 - 16*g/5 = 0.
-8, 0, 1
Factor -g**2/3 - 63*g + 390.
-(g - 6)*(g + 195)/3
Suppose -a**3/10 + 89*a**2/10 + 184*a/5 + 186/5 = 0. Calculate a.
-2, 93
Factor 3*b**4 - 33*b**3 + 27*b**2 + 357*b + 294.
3*(b - 7)**2*(b + 1)*(b + 2)
Factor -j**2/2 - 20*j - 231/2.
-(j + 7)*(j + 33)/2
Factor 26*k**4/11 + 4*k**3 - 16*k**2/11.
2*k**2*(k + 2)*(13*k - 4)/11
What is c in 2*c**3/5 - 18*c**2/5 + 8*c - 24/5 = 0?
1, 2, 6
Factor z**2/2 - 9/2.
(z - 3)*(z + 3)/2
What is u in -3*u**2 + 352*u + 236 = 0?
-2/3, 118
Determine w, given that -w**5/5 - 3*w**4/5 + 2*w**3/5 + 12*w**2/5 + 8*w/5 = 0.
-2, -1, 0, 2
Factor b**2 + 19*b + 48.
(b + 3)*(b + 16)
Determine r, given that -4*r**2 - 64*r - 256 = 0.
-8
Suppose 4*o**2/3 - 7856*o/9 + 1744/3 = 0. Calculate o.
2/3, 654
Find b such that -b**5 + 6*b**4 + 10*b**3 - 16*b**2 - 33*b - 14 = 0.
-1, 2, 7
Find k such that 12*k**4 - 56*k**3 - 4*k**2 + 240*k - 144 = 0.
-2, 2/3, 3
Determine x so that -x**3/2 + 7*x**2 + 111*x/2 + 90 = 0.
-3, 20
Let w**4 - 216*w**3 + 630*w**2 + 1912*w + 1065 = 0. What is w?
-1, 5, 213
Factor -5*w**4 + 30*w**3 + 155*w**2 - 180*w.
-5*w*(w - 9)*(w - 1)*(w + 4)
Suppose -b**5 - 19*b**4 - 34*b**3 + 2*b**2 + 35*b + 17 = 0. What is b?
-17, -1, 1
What is b in b**2 + 23*b - 50 = 0?
-25, 2
Factor i**3/4 + 21*i**2/4 - 257*i/2 + 234.
(i - 13)*(i - 2)*(i + 36)/4
Factor 5*d**2 - 1510*d + 10325.
5*(d - 295)*(d - 7)
Factor -9*x**2 - 258*x + 87.
-3*(x + 29)*(3*x - 1)
Find b such that -3*b**2/5 + 4692*b/5 - 1834572/5 = 0.
782
Determine g, given that 4*g**4 - 424*g**3 + 11236*g**2 = 0.
0, 53
Solve -n**3/4 + n = 0 for n.
-2, 0, 2
Find w, given that 282*w**4/17 - 566*w**3/17 + 286*w**2/17 - 2*w/17 = 0.
0, 1/141, 1
Factor 6*a**2/13 + 176*a/13 + 58/13.
2*(a + 29)*(3*a + 1)/13
Factor -x**2/7 - 104*x/7.
-x*(x + 104)/7
Suppose -2*t**5/5 - 46*t**4/5 + 146*t**3 + 18734*t**2/5 - 64736*t/5 - 1925896/5 = 0. Calculate t.
-17, 14
Solve -9*h**2 + 1082*h - 240 = 0.
2/9, 120
Suppose -4*z**5/3 + 34*z**4/3 - 110*z**3/3 + 170*z**2/3 - 42*z + 12 = 0. What is z?
1, 3/2, 2, 3
Solve 8*z**5 + 2*z**4 - 16*z**3 - 4*z**2 + 8*z + 2 = 0 for z.
-1, -1/4, 1
Factor -5*u**4 + 40*u**3 - 110*u**2 + 120*u - 45.
-5*(u - 3)**2*(u - 1)**2
What is p in -6*p**3 + 1906*p**2 - 151050*p - 50562 = 0?
-1/3, 159
Find u such that -6*u**5/7 + 15*u**4 - 27*u**3 - 537*u**2/7 - 57*u/7 + 180/7 = 0.
-1, 1/2, 4, 15
Factor -4*g**4 + 288*g**3 - 1368*g**2 + 1888*g - 804.
-4*(g - 67)*(g - 3)*(g - 1)**2
Determine r so that -2*r**3/13 + 582*r**2/13 - 42630*r/13 + 42050/13 = 0.
1, 145
What is f in -3*f**2 - 66*f - 216 = 0?
-18, -4
Factor 3*n**2/5 + 21*n - 108/5.
3*(n - 1)*(n + 36)/5
Let -5*k**5 + 370*k**4 - 2755*k**3 + 7730*k**2 - 9300*k + 3960 = 0. What is k?
1, 2, 3, 66
Determine g so that -2*g**4 + 1312*g**3 - 216476*g**2 + 429024*g - 213858 = 0.
1, 327
Factor -2*r**4/5 - 14*r**3/5 - 4*r**2.
-2*r**2*(r + 2)*(r + 5)/5
Solve -3*n**3 - 84*n**2 + 279*n = 0 for n.
-31, 0, 3
Factor 80*m**4 + 225*m**3 + 115*m**2 - 30*m.
5*m*(m + 1)*(m + 2)*(16*m - 3)
Solve 3*b**2 - 339*b - 342 = 0.
-1, 114
Let -d**4/3 + 20*d**3/3 + 29*d**2/3 - 52*d - 84 = 0. What is d?
-2, 3, 21
Determine l, given that -6*l**5 - 50*l**4 + 60*l**3 + 180*l**2 - 310*l + 126 = 0.
-9, -7/3, 1
Factor 4*b**3 + 24*b**2 + 44*b + 24.
4*(b + 1)*(b + 2)*(b + 3)
Factor -10*j**3/7 + 516*j**2/7 + 208*j/7.
-2*j*(j - 52)*(5*j + 2)/7
Find w, given that 126*w**3 + 766*w**2 - 844*w - 224 = 0.
-7, -2/9, 8/7
Let -n**5/4 + 5*n**4/4 + 3*n**3/4 - 17*n**2/4 + 5*n/2 = 0. What is n?
-2, 0, 1, 5
Solve -4*t**4 + 52*t**3 + 116*t**2 + 60*t = 0 for t.
-1, 0, 15
Factor -v**2/2 - 21*v/2 - 10.
-(v + 1)*(v + 20)/2
Solve -14*l**3/13 + 158*l**2/13 + 320*l/13 - 8 = 0 for l.
-2, 2/7, 13
Factor 2*h**5/11 + 50*h**4/11 + 230*h**3/11 - 1010*h**2/11 + 1120*h/11 - 392/11.
2*(h - 1)**3*(h + 14)**2/11
Let 5*m**4/8 + 4*m**3 + 7*m**2/8 - 4*m - 3/2 = 0. What is m?
-6, -1, -2/5, 1
Factor -4*m**2 + 44*m - 96.
-4*(m - 8)*(m - 3)
Let 6*q**4/7 + 4*q**3 - 50*q**2/7 - 8*q/7 + 24/7 = 0. Calculate q.
-6, -2/3, 1
Let -5*j**5 - 40*j**4 + 30*j**3 + 460*j**2 - 25*j - 420 = 0. What is j?
-7, -4, -1, 1, 3
Find t such that 45*t**4 - 160*t**3 + 165*t**2 - 50*t = 0.
0, 5/9, 1, 2
Suppose 21*k**4/4 - 99*k**3/4 + 165*k**2/4 - 117*k/4 + 15/2 = 0. What is k?
5/7, 1, 2
Suppose -f**2 - 108*f - 2916 = 0. Calculate f.
-54
Factor 3*k**2/7 - 18*k/7 + 15/7.
3*(k - 5)*(k - 1)/7
Suppose -3*q**2 - 333*q + 1380 = 0. What is q?
-115, 4
Factor 15*q**2 + 5268*q - 5283.
3*(q - 1)*(5*q + 1761)
Let 5*h**2 + 95*h = 0. What is h?
-19, 0
Let 2*m**2 + 62*m - 132 = 0. Calculate m.
-33, 2
Solve 4*u**3 + 92*u**2 + 248*u + 160 = 0 for u.
-20, -2, -1
Suppose 2*m**4/7 + 116*m**3/7 - 360*m**2/7 + 52*m - 122/7 = 0. What is m?
-61, 1
Find p, given that 5*p**2 - 1015*p - 2050 = 0.
-2, 205
Factor 3*d**4 + 99*d**3 + 1125*d**2 + 5313*d + 8820.
3*(d + 4)*(d + 7)**2*(d + 15)
Factor 3*j**4/5 - 6*j**3/5 - 3*j**2/5 + 6*j/5.
3*j*(j - 2)*(j - 1)*(j + 1)/5
Solve 4*r**3 - 28*r**2 - 84*r + 108 = 0 for r.
-3, 1, 9
Let -2*b**5/3 + 68*b**4/3 - 572*b**3/3 - 208*b**2/3 + 1870*b/3 - 1156/3 = 0. Calculate b.
-2, 1, 17
Suppose 2*w**3/7 - 22*w**2/7 + 52*w/7 - 32/7 = 0. What is w?
1, 2, 8
Let 3*p**3/2 - 102*p**2 + 4575*p/2 - 16875 = 0. Calculate p.
18, 25
Solve -h**5/6 + h**4/2 + 11*h**3/3 - 37*h**2/3 + 25*h/2 - 25/6 = 0 for h.
-5, 1, 5
Find p such that 5*p**4 - 230*p**3 = 0.
0, 46
Factor -2*g**5 + 4*g**4 + 16*g**3 - 32*g**2 - 32*g + 64.
-2*(g - 2)**3*(g + 2)**2
Factor 4*n**3 + 20*n**2 - 388*n + 364.
4*(n - 7)*(n - 1)*(n + 13)
What is n in -3*n**3 - 57*n**2 + 126*n = 0?
-21, 0, 2
Factor 5*a**3 - 30*a**2.
5*a**2*(a - 6)
Factor -2*t**2/5 - 26*t/5 + 28/5.
-2*(t - 1)*(t + 14)/5
Factor 8*f**3 - 26*f**2 + 6*f.
2*f*(f - 3)*(4*f - 1)
Let 4*x**5/3 - 28*x**4/3 + 68*x**3/3 - 68*x**2/3 + 8*x = 0. Calculate x.
0, 1, 2, 3
Factor -5*s**5 - 176*s**4 - 2240*s**3 - 12446*s**2 - 26411*s - 4802.
-(s + 7)**3*(s + 14)*(5*s + 1)
Factor 676*x**2/5 + 636*x/5 - 8.
4*(x + 1)*(169*x - 10)/5
Find a, given that -2*a**2/9 + 46*a/9 - 28/3 = 0.
2, 21
Factor 2*k**2/13 - 94*k/13 + 92/13.
2*(k - 46)*(k - 1)/13
Suppose -p**4/7 - 22*p**3/7 + 159*p**2/7 - 248*p/7 + 16 = 0. What is p?
-28, 1, 4
Solve 4*c**5/5 - 732*c**4/5 - 748*c**3/5 + 2188*c**2/5 + 3672*c/5 + 1472/5 = 0 for c.
-1, 2, 184
Factor m**5/4 - 3*m**4/4 + m**3/2 + m**2/2 - 3*m/4 + 1/4.
(m - 1)**4*(m + 1)/4
What is m in -m**3 + 2*m**2 - m = 0?
0, 1
Suppose -3*n**3/2 - 135*n**2/2 - 246*n = 0. Calculate n.
-41, -4, 0
Find v, given that -v**3 - 4*v**2 + 12*v = 0.
-6, 0, 2
Factor -b**2 - 7*b - 12.
-(b + 3)*(b + 4)
Factor -2*a**2/9 - 14*a/9 + 16/9.
-2*(a - 1)*(a + 8)/9
Solve 5*w**2 + 25*w + 30 = 0 for w.
-3, -2
Let -2*a**3/9 - 40*a**2/3 - 800*a/3 - 16000/9 = 0. What is a?
-20
Factor 3*w**3 - 105*w**2 - 108*w.
3*w*(w - 36)*(w + 1)
Factor -y**2/3 - 8*y.
-y*(y + 24)/3
Suppose p**2/2 - 8*p + 39/2 = 0. What