y - 4)*(y + 171)
Factor -3*n**3 - 36*n**2 + 129*n - 90.
-3*(n - 2)*(n - 1)*(n + 15)
Suppose -4*q**2 - 20*q + 56 = 0. What is q?
-7, 2
Determine h, given that -4*h**4 - 16*h**3 - 20*h**2 - 8*h = 0.
-2, -1, 0
Find c such that 6*c**4/7 - 12*c**3 + 30*c**2 - 132*c/7 = 0.
0, 1, 2, 11
Suppose y**5/4 + 25*y**4/4 + 28*y**3 - 146*y**2 + 28*y + 196 = 0. What is y?
-14, -1, 2
Factor -g**2 - 26*g - 88.
-(g + 4)*(g + 22)
Determine j, given that 5*j**5 - 55*j**4 + 95*j**3 - 45*j**2 = 0.
0, 1, 9
Suppose -10*j**2 + 85*j + 45 = 0. What is j?
-1/2, 9
Factor u**5/6 - 7*u**4/2 + 29*u**3 - 355*u**2/3 + 475*u/2 - 375/2.
(u - 5)**3*(u - 3)**2/6
Find b such that 21*b**3/2 - 18*b**2 + 9*b/2 + 3 = 0.
-2/7, 1
Factor -c**5/2 + 2*c**3.
-c**3*(c - 2)*(c + 2)/2
Factor w**4/2 + 305*w**3/2 + 31209*w**2/2 + 1091507*w/2 + 1030301.
(w + 2)*(w + 101)**3/2
Factor 3*n**4/4 + 9*n**3/4 - 27*n**2/4 - 69*n/4 - 9.
3*(n - 3)*(n + 1)**2*(n + 4)/4
Determine j, given that -3*j**3 - 237*j**2 - 2274*j - 2040 = 0.
-68, -10, -1
Find q such that -3*q**5/2 - 18*q**4 - 48*q**3 + 72*q**2 + 216*q = 0.
-6, -2, 0, 2
Factor -12*o**2 - 15*o - 3.
-3*(o + 1)*(4*o + 1)
Factor -y**2/5 - 2*y/5 + 3/5.
-(y - 1)*(y + 3)/5
Factor 4*h**3 - 6964*h**2 + 13916*h - 6956.
4*(h - 1739)*(h - 1)**2
Find d such that -2*d**2/11 - 4110*d/11 - 4108/11 = 0.
-2054, -1
Factor -29*b**3/9 - 86*b**2/9 - 55*b/9 + 2/9.
-(b + 1)*(b + 2)*(29*b - 1)/9
Factor 2*q**4 + 8*q**3 + 4*q**2 - 8*q - 6.
2*(q - 1)*(q + 1)**2*(q + 3)
Factor -2*x**2 + 28*x + 784.
-2*(x - 28)*(x + 14)
What is z in -2*z**4/9 + 130*z**3/9 + 30*z**2 - 130*z/9 - 268/9 = 0?
-2, -1, 1, 67
Factor -3*d**3/4 - 21*d**2/4 - 33*d/4 - 15/4.
-3*(d + 1)**2*(d + 5)/4
Factor 4*d**5 + 40*d**4 + 96*d**3 - 128*d**2 - 512*d.
4*d*(d - 2)*(d + 4)**3
Factor 4*g**2/7 + 40*g/7 - 32.
4*(g - 4)*(g + 14)/7
Determine o, given that -2*o**3 + 200*o**2 - 5850*o + 40500 = 0.
10, 45
Solve -5*y**5 + 45*y**4 - 115*y**3 + 75*y**2 = 0 for y.
0, 1, 3, 5
Suppose 11*y**3/2 + 249*y**2/2 + 75*y - 44 = 0. What is y?
-22, -1, 4/11
Factor -4*m**2 - 352*m - 7744.
-4*(m + 44)**2
Factor -2*n**5/3 - 1328*n**4/3 - 2650*n**3/3 - 1324*n**2/3.
-2*n**2*(n + 1)**2*(n + 662)/3
Suppose 4*w**4 - 56*w**3 + 220*w**2 - 168*w = 0. What is w?
0, 1, 6, 7
Let -3*l**2 - 552*l - 25392 = 0. What is l?
-92
Determine v, given that -5*v**3 - 10*v**2 + 20*v + 40 = 0.
-2, 2
Factor -4*l**4/5 - 8*l**3/5 + 48*l**2/5 - 56*l/5 + 4.
-4*(l - 1)**3*(l + 5)/5
Factor 2*z**2/9 - 4*z/9 - 112/3.
2*(z - 14)*(z + 12)/9
Suppose 214375*t**3 + 36750*t**2 + 2100*t + 40 = 0. Calculate t.
-2/35
Factor 2*p**3 - 20*p**2 - 162*p + 180.
2*(p - 15)*(p - 1)*(p + 6)
Factor -2*z**2/3 - 16*z/3 - 14/3.
-2*(z + 1)*(z + 7)/3
Determine i so that -2*i**3 - 136*i**2 - 130*i + 268 = 0.
-67, -2, 1
Factor -5*f**4/2 - 15*f**3/2 - 5*f**2.
-5*f**2*(f + 1)*(f + 2)/2
Let 12*o**5 + 536*o**4/5 + 276*o**3 + 888*o**2/5 - 656*o/5 - 96 = 0. What is o?
-5, -2, -3/5, 2/3
Let -s**2 - 1014*s - 257049 = 0. What is s?
-507
Determine l so that 520*l**5/7 - 908*l**4/7 + 160*l**3/7 + 48*l**2/7 = 0.
-2/13, 0, 2/5, 3/2
Suppose 4*y**3 - 108*y**2 + 200*y = 0. Calculate y.
0, 2, 25
Factor 7*i**3/2 - 17*i**2/2 - 12*i.
i*(i + 1)*(7*i - 24)/2
Let 28*j**2 - 1716*j + 488 = 0. Calculate j.
2/7, 61
Factor -3*o**3/2 - 9*o**2/2.
-3*o**2*(o + 3)/2
Find r such that 5*r**2/7 - 19*r/7 - 4/7 = 0.
-1/5, 4
Factor -22*m**4/5 - 128*m**3/5 - 48*m**2 - 128*m/5 + 32/5.
-2*(m + 2)**3*(11*m - 2)/5
Factor -2*h**4 - 1920*h**3 - 5742*h**2.
-2*h**2*(h + 3)*(h + 957)
What is u in -8*u**2 - 166*u/7 + 6/7 = 0?
-3, 1/28
Let 1256641*a**2/3 + 8968*a/3 + 16/3 = 0. Calculate a.
-4/1121
Find q such that 3*q**4 - 21*q**3 - 84*q**2 - 60*q = 0.
-2, -1, 0, 10
Solve -3*z**2/5 - 294*z/5 - 1656/5 = 0.
-92, -6
Determine k, given that -3100*k**2 + 545*k + 15 = 0.
-3/124, 1/5
Factor -3*c**3 + 33*c**2 - 45*c - 81.
-3*(c - 9)*(c - 3)*(c + 1)
Determine m, given that -2*m**4/17 + 8*m**3/17 - 32*m/17 + 32/17 = 0.
-2, 2
Let 3*f**4 + 78*f**3 + 207*f**2 - 4128*f + 3840 = 0. What is f?
-16, 1, 5
Solve 3*b**5/7 + 3*b**4/7 - 24*b**3 + 432*b**2/7 = 0 for b.
-9, 0, 4
Factor -14*k**4 + 20*k**3 + 2*k**2 - 8*k.
-2*k*(k - 1)**2*(7*k + 4)
Determine q, given that 21*q**5 + 321*q**4 + 1413*q**3 + 2079*q**2 + 486*q = 0.
-9, -3, -2/7, 0
Factor -2*o**3 - 12*o**2 - 6*o + 20.
-2*(o - 1)*(o + 2)*(o + 5)
Factor -k**2/4 - 29*k - 841.
-(k + 58)**2/4
Let k**5/12 - k**4/12 - 17*k**3/12 - 19*k**2/12 + 4*k/3 + 5/3 = 0. Calculate k.
-2, -1, 1, 5
Factor g**3/5 - 2*g**2 + 21*g/5.
g*(g - 7)*(g - 3)/5
Factor q**2 - 1444*q + 521284.
(q - 722)**2
Factor 15*h**2/2 + 54*h + 93/2.
3*(h + 1)*(5*h + 31)/2
Factor -s**4/6 - 3*s**3/2 + 21*s**2/2 + 149*s/6 + 13.
-(s - 6)*(s + 1)**2*(s + 13)/6
Factor -f**3/5 + 32*f**2/5 + f/5 - 32/5.
-(f - 32)*(f - 1)*(f + 1)/5
Factor -45*o**3 + 20*o**2.
-5*o**2*(9*o - 4)
Factor 35*w**2 - 6200*w + 885.
5*(w - 177)*(7*w - 1)
Factor -2*w**5 - 10*w**4 - 16*w**3 - 8*w**2.
-2*w**2*(w + 1)*(w + 2)**2
Let 3*m**3/2 - 12*m**2 - 99*m/2 = 0. What is m?
-3, 0, 11
Let -9*d**5 - 3*d**4 + 231*d**3 + 75*d**2 - 150*d = 0. What is d?
-5, -1, 0, 2/3, 5
What is r in -14*r**2/15 - 26*r/5 + 28/3 = 0?
-7, 10/7
Factor 2*h**3 - 22*h**2 + 14*h + 294.
2*(h - 7)**2*(h + 3)
Factor 2*h**4/23 + 62*h**3/23 + 60*h**2/23.
2*h**2*(h + 1)*(h + 30)/23
Factor -7*s**3/3 + 10*s**2 - 12*s + 8/3.
-(s - 2)**2*(7*s - 2)/3
Factor -j**2/2 - 69*j/2.
-j*(j + 69)/2
Factor p**4 + 6*p**3 + 12*p**2 + 10*p + 3.
(p + 1)**3*(p + 3)
Find d, given that -4*d**2 - 1316*d + 1320 = 0.
-330, 1
Factor 5*o**2/2 - 4*o + 3/2.
(o - 1)*(5*o - 3)/2
Suppose -2*g**3/17 - 70*g**2/17 - 132*g/17 = 0. Calculate g.
-33, -2, 0
Determine f, given that f**4/10 - 3*f**3/10 - 11*f**2/5 + 6*f/5 + 36/5 = 0.
-3, -2, 2, 6
Suppose 66*b**3/5 + 38*b**2 + 108*b/5 - 16/5 = 0. What is b?
-2, -1, 4/33
Let -3*w**3 + 48*w**2 + 333*w - 378 = 0. Calculate w.
-6, 1, 21
Factor -5*y**2 + 1460*y + 2940.
-5*(y - 294)*(y + 2)
Factor 4*h**3 - 106*h**2 - 186*h + 504.
2*(h - 28)*(h + 3)*(2*h - 3)
Factor 58*s**4 + 352*s**3 + 720*s**2 + 512*s + 32.
2*(s + 2)**3*(29*s + 2)
Factor u**3/12 - 2*u**2/3 - 299*u/12 + 507/2.
(u - 13)**2*(u + 18)/12
Solve -5*w**2 + 5330*w - 1420445 = 0.
533
Factor i**4 + 8*i**3 + 11*i**2 - 20*i.
i*(i - 1)*(i + 4)*(i + 5)
Suppose -3*l**2/5 + 3837*l/5 = 0. Calculate l.
0, 1279
Factor -3*x**3/4 + 3*x**2/2 - 3*x/4.
-3*x*(x - 1)**2/4
Determine q so that q**5 + 8*q**4 + 6*q**3 - 8*q**2 - 7*q = 0.
-7, -1, 0, 1
Let 27*g**4/4 + 9*g**3/4 - 339*g**2/4 + 219*g/4 - 9 = 0. Calculate g.
-4, 1/3, 3
Factor 7*g**3/6 - 47*g**2 - 69*g/2 + 41/3.
(g - 41)*(g + 1)*(7*g - 2)/6
Determine y, given that 4*y**2/7 - 32*y - 228/7 = 0.
-1, 57
Let p**4 - 26*p**3 + 204*p**2 - 374*p - 605 = 0. What is p?
-1, 5, 11
Factor 10*i**2/11 + 2274*i/11 + 908/11.
2*(i + 227)*(5*i + 2)/11
Factor -4*h**3 - 172*h**2 + 544*h - 368.
-4*(h - 2)*(h - 1)*(h + 46)
Factor 12*r**3 - 3008*r**2 - 29200*r + 20800.
4*(r - 260)*(r + 10)*(3*r - 2)
Find k such that k**2 + 5*k + 4 = 0.
-4, -1
Factor 2*c**4 - 16*c**3 + 26*c**2 - 12*c.
2*c*(c - 6)*(c - 1)**2
Factor -a**2 - 42*a.
-a*(a + 42)
What is s in s**4 - 198*s**3 + 972*s**2 - 1354*s + 579 = 0?
1, 3, 193
Factor -3*v**2/2 + 1755*v/2 + 879.
-3*(v - 586)*(v + 1)/2
Factor -3*r**2 + 711*r.
-3*r*(r - 237)
Determine u so that -2*u**2/13 + 14*u/13 + 36/13 = 0.
-2, 9
Suppose 2*x**3/15 + 4*x**2/15 - 46*x/15 - 8 = 0. Calculate x.
-4, -3, 5
Let -343*t**3/3 + 1274*t**2 - 4732*t + 17576/3 = 0. Calculate t.
26/7
Let 2*x**3/11 + 2*x**2 + 62*x/11 + 42/11 = 0. What is x?
-7, -3, -1
Factor 2*n**2 - 396*n + 1930.
2*(n - 193)*(n - 5)
Let -v**4 + 8*v**3 - 14*v**2 - 8*v + 15 = 0. Calculate v.
-1, 1, 3, 5
Suppose 2*n**2/3 - 14*n/3 = 0. Calculate n.
0, 7
Find h such that -2*h**4/5 + 6*h**3 - 26*h**2/5 - 6*h + 28/5 = 0.
-1, 1, 14
Suppose -6*k**4/13 + 116*k**3/13 - 646*k**2/13 + 776*k/13 + 840/13 = 0. What is k?
-2/3, 3, 7, 10
Factor -4*j**5 - 20*j**4 + 24*j**3 + 88*j**2 - 148*j + 60.
-4*(j - 1)**3*(j + 3)*(j + 5)
Let -o**4/6 + 73*o**3/6 + 38*o**2 = 0. Calculate o.
-3, 0, 76
Factor -5*s**3 + 215*s + 210.
-5*(s - 7)*(s + 1)*(s + 6)
Factor -k**4/8 - 196*k**3 - 115248*k**2 - 30118144*k - 2951578112.
-(k + 392)**4/8
Let 4*k**2 - 8*k = 0. Calculate k.
0, 2
Factor 2*b**3/19 + 10*b**2/19 - 12*b/19.
2*b*(b - 1)*(b + 6)/19
Factor 4*z**3/3 - 248*z**2/3 + 4964*z/3 - 32368/3.
4*(z - 28