48*j**2 + 150*j/7 - 3 = 0 for j.
-1, 1/9, 7
Factor 32*k**3 - 16*k**2 - 14*k - 2.
2*(k - 1)*(4*k + 1)**2
Factor s**2/2 + 1161*s + 1347921/2.
(s + 1161)**2/2
Find t, given that 2*t**4/3 + 2*t**3/3 - 26*t**2/3 - 2*t/3 + 8 = 0.
-4, -1, 1, 3
Let 228*a**2 - 172*a + 32 = 0. What is a?
1/3, 8/19
Determine k so that 16*k**5/3 + 40*k**4/3 - 95*k**3/3 + 10*k**2/3 + 25*k/3 + 4/3 = 0.
-4, -1/4, 1
Factor 4*d**2 - 896*d - 2724.
4*(d - 227)*(d + 3)
Factor -6*o**4/11 + 258*o**3/11 - 240*o**2 - 264*o.
-6*o*(o - 22)**2*(o + 1)/11
Factor -h**3/3 + 110*h**2 - 9075*h.
-h*(h - 165)**2/3
What is o in -o**2/3 + 500*o/3 - 62500/3 = 0?
250
Factor 4*d**5/3 - 92*d**4/3 + 172*d**3/3 - 28*d**2.
4*d**2*(d - 21)*(d - 1)**2/3
What is v in 4*v**3/7 - 492*v**2/7 + 972*v/7 - 484/7 = 0?
1, 121
Factor m**2 + 524*m - 1581.
(m - 3)*(m + 527)
Let 2*k**3/11 + 522*k**2/11 - 1058*k/11 - 1578/11 = 0. Calculate k.
-263, -1, 3
Factor -16*u**5 - 4088*u**4 - 18180*u**3 - 27162*u**2 - 13554*u.
-2*u*(u + 251)*(2*u + 3)**3
Factor 2*p**3/11 + 46*p**2/11 + 20*p + 272/11.
2*(p + 2)*(p + 4)*(p + 17)/11
Factor -7*r**2/2 + 19*r/2 + 3.
-(r - 3)*(7*r + 2)/2
Suppose 10*q**5/7 - 54*q**4/7 - 30*q**3/7 + 470*q**2/7 - 540*q/7 + 144/7 = 0. Calculate q.
-3, 2/5, 1, 3, 4
Let 162*x**5/5 - 11214*x**4/5 + 2466*x**3/5 + 1246*x**2/5 - 276*x/5 = 0. What is x?
-1/3, 0, 2/9, 1/3, 69
Factor -11*l**3/2 + 509*l**2 - 11914*l + 6348.
-(l - 46)**2*(11*l - 6)/2
Solve -2*w**2/15 - 292*w/15 - 10658/15 = 0 for w.
-73
Find w such that w**3 + 35*w**2 + 67*w + 33 = 0.
-33, -1
Solve -2*v**3/11 - 42*v**2/11 - 180*v/11 + 224/11 = 0.
-14, -8, 1
What is k in -2*k**3/9 + 58*k**2/9 - 130*k/3 - 50 = 0?
-1, 15
Factor 3*n**4 - 11676*n**3 + 17041122*n**2 - 11054007804*n + 2688887398323.
3*(n - 973)**4
Factor j**3/2 + 11*j**2/2 - 25*j/2 + 13/2.
(j - 1)**2*(j + 13)/2
Factor 4*y**4 + 4*y**3 - 12*y**2 - 4*y + 8.
4*(y - 1)**2*(y + 1)*(y + 2)
Let -b**2 - 38*b + 480 = 0. Calculate b.
-48, 10
Find m, given that -80*m**5 + 520*m**4 - 965*m**3 + 710*m**2 - 205*m + 20 = 0.
1/4, 1, 4
Factor 20*u**2 + 155*u - 40.
5*(u + 8)*(4*u - 1)
Determine p, given that -p**5/4 + 11*p**4/4 - 17*p**3/2 + 6*p**2 = 0.
0, 1, 4, 6
Factor 4*i**3/9 + 392*i**2/3 + 9604*i.
4*i*(i + 147)**2/9
Factor -2*a**3/9 + 112*a**2/3 - 6272*a/3 + 351232/9.
-2*(a - 56)**3/9
Determine l so that -112*l**4 + 388*l**3 - 156*l**2 - 448*l + 208 = 0.
-1, 13/28, 2
Factor 3*n**2 + 2433*n + 2430.
3*(n + 1)*(n + 810)
Determine o, given that -213*o**2 + 2127*o/5 + 6/5 = 0.
-1/355, 2
Factor -6*c**3 + 27*c**2 - 21*c - 18.
-3*(c - 3)*(c - 2)*(2*c + 1)
Solve -2*w**3/9 - 10*w**2/9 + 26*w/9 - 14/9 = 0 for w.
-7, 1
Factor -2*x**3/5 + 272*x**2/15 - 264*x + 6048/5.
-2*(x - 18)**2*(3*x - 28)/15
Factor -4*h**2/3 + 20*h - 56/3.
-4*(h - 14)*(h - 1)/3
Suppose w**3/10 - 307*w/10 + 153/5 = 0. What is w?
-18, 1, 17
Find g such that g**5/10 + 34*g**4/5 + 257*g**3/2 + 2209*g**2/5 + 2624*g/5 + 1024/5 = 0.
-32, -2, -1
Factor -3645*m**3 - 6075*m**2 - 3375*m - 625.
-5*(9*m + 5)**3
Determine j, given that -6*j**3/7 - 22*j**2/7 - 24*j/7 - 8/7 = 0.
-2, -1, -2/3
Factor -s**2/2 + 124*s - 7688.
-(s - 124)**2/2
Factor -c**3 + 113*c**2 - 546*c + 648.
-(c - 108)*(c - 3)*(c - 2)
Solve -z**4 + 22*z**3 - 33*z**2 - 136*z - 80 = 0.
-1, 4, 20
Suppose 4*h**5 - 12*h**4 - 4*h**3 + 44*h**2 - 48*h + 16 = 0. Calculate h.
-2, 1, 2
Suppose -j**4/4 + 3*j**3/2 + 47*j**2/4 - 42*j - 196 = 0. What is j?
-4, 7
What is r in 3*r**4/2 + 66*r**3 + 672*r**2 = 0?
-28, -16, 0
Factor j**4/3 + j**3 - 5*j**2 + 17*j/3 - 2.
(j - 1)**3*(j + 6)/3
Factor -h**4/3 - 3*h**3 - 6*h**2 + 4*h/3 + 8.
-(h - 1)*(h + 2)**2*(h + 6)/3
Let 2*y**3/13 - 12*y**2/13 + 18*y/13 - 8/13 = 0. What is y?
1, 4
Let -b**4 - 31*b**3 - 87*b**2 - 85*b - 28 = 0. What is b?
-28, -1
Suppose -3*p**5 - 393*p**4 - 17028*p**3 - 238128*p**2 + 255552*p = 0. What is p?
-44, 0, 1
Suppose 3*d**4 - 9*d**2 - 6*d = 0. Calculate d.
-1, 0, 2
Factor 1722448*b**3 - 28392*b**2 + 156*b - 2/7.
2*(182*b - 1)**3/7
Factor 3*r**5 + 3*r**4 - 288*r**3 + 1248*r**2 - 768*r - 2304.
3*(r - 4)**3*(r + 1)*(r + 12)
Factor t**4/6 + 1837*t**3/6 - 919*t**2/3.
t**2*(t - 1)*(t + 1838)/6
Factor 2*t**3/7 - 18*t**2/7 - 8*t/7 + 72/7.
2*(t - 9)*(t - 2)*(t + 2)/7
Let q**4 + 15*q**3 + 75*q**2 + 125*q = 0. What is q?
-5, 0
What is g in g**4/2 - g**3/2 - 5*g**2/2 - 3*g/2 = 0?
-1, 0, 3
Solve w**2/6 - 1/6 = 0 for w.
-1, 1
Factor -2*j**4/3 - 20*j**3/3 - 50*j**2/3.
-2*j**2*(j + 5)**2/3
Find y, given that -2*y**2 + 412*y = 0.
0, 206
Factor 3*b**2/4 - 21*b/4 + 9/2.
3*(b - 6)*(b - 1)/4
Factor -4*k**3 + 248*k**2 - 716*k + 472.
-4*(k - 59)*(k - 2)*(k - 1)
Solve -x**5 + 4*x**4 - 5*x**3 + 2*x**2 = 0.
0, 1, 2
Suppose 5*u**2 - 320*u + 620 = 0. Calculate u.
2, 62
Factor -3*b**4/4 + 4287*b**3/4 - 510867*b**2 + 81397428*b - 80887632.
-3*(b - 476)**3*(b - 1)/4
Factor -2*p**2/3.
-2*p**2/3
Determine g, given that 5*g**4 - 560*g**3 + 545*g**2 + 1110*g = 0.
-1, 0, 2, 111
Find f such that 10*f**5/11 + 226*f**4/11 - 346*f**3/11 - 226*f**2/11 + 336*f/11 = 0.
-24, -1, 0, 1, 7/5
Factor a**3/3 + 7*a**2 + 119*a/3 + 65.
(a + 3)*(a + 5)*(a + 13)/3
Factor 2*l**2/5 - 2*l - 12/5.
2*(l - 6)*(l + 1)/5
Factor -4*g**3/9 + 8*g**2/9 + 4*g/9 - 8/9.
-4*(g - 2)*(g - 1)*(g + 1)/9
Suppose -4732*g**5 - 44720*g**4 - 85756*g**3 - 57080*g**2 - 12112*g - 800 = 0. Calculate g.
-50/7, -1, -2/13
Factor -2*j**2 + 110*j - 1368.
-2*(j - 36)*(j - 19)
Let -a**4 + 8*a**3 - 22*a**2 + 24*a - 9 = 0. What is a?
1, 3
Find k, given that k**3/3 + 73*k**2/3 + 456*k + 432 = 0.
-36, -1
Solve 2*c**5/7 + 2*c**4 + 36*c**3/7 + 44*c**2/7 + 26*c/7 + 6/7 = 0 for c.
-3, -1
Factor 3*n**3 + 1020*n**2 - 10425*n + 26250.
3*(n - 5)**2*(n + 350)
Determine r so that -2*r**5/3 + 26*r**4/3 - 46*r**3/3 + 22*r**2/3 = 0.
0, 1, 11
Factor -5*s**3 - 5*s**2 + 80*s + 80.
-5*(s - 4)*(s + 1)*(s + 4)
Factor n**3/3 - 124*n**2/3 - 125*n/3.
n*(n - 125)*(n + 1)/3
Find y, given that -y**2/2 - 51*y/2 - 280 = 0.
-35, -16
Factor -2*u**2 + 112*u + 114.
-2*(u - 57)*(u + 1)
Factor -4*d**2 + 48*d + 256.
-4*(d - 16)*(d + 4)
Factor -2*p**4/9 + 2*p**3/3 + 8*p**2/9 - 8*p/3.
-2*p*(p - 3)*(p - 2)*(p + 2)/9
Let 4*a**3/5 + 82*a**2/5 - 136*a/5 - 88/5 = 0. What is a?
-22, -1/2, 2
Suppose -s**4/4 - 9*s**3 - 107*s**2/2 - 81*s - 145/4 = 0. What is s?
-29, -5, -1
Let 4*w**5 - 100*w**4 - 1160*w**3 + 2760*w**2 + 23940*w - 58212 = 0. Calculate w.
-7, 3, 33
Find t, given that -t**2/3 + 8*t/3 - 7/3 = 0.
1, 7
Factor g**4/6 + 2*g**3/3 - 11*g**2/6 + g.
g*(g - 1)**2*(g + 6)/6
Find b such that 6*b**3/7 + 1332*b**2/7 + 2640*b/7 = 0.
-220, -2, 0
Let -20*s**2 - 12*s = 0. What is s?
-3/5, 0
Find n such that -n**4/2 - 13*n**3 - 93*n**2/2 - 56*n - 22 = 0.
-22, -2, -1
Suppose 5*m**4 + 80*m**3 + 140*m**2 = 0. What is m?
-14, -2, 0
Factor -5*c**2 - 2485*c - 9860.
-5*(c + 4)*(c + 493)
What is y in -y**5 + 13*y**4/4 + 13*y**3/4 - y**2 = 0?
-1, 0, 1/4, 4
Suppose -c**5/6 - 37*c**4/6 - 197*c**3/3 - 485*c**2/3 - 901*c/6 - 289/6 = 0. Calculate c.
-17, -1
Determine a so that -2*a**5/7 - 16*a**4/7 + 12*a**3/7 + 16*a**2 + 134*a/7 + 48/7 = 0.
-8, -1, 3
Determine k so that k**2/10 + 12*k/5 - 26/5 = 0.
-26, 2
Suppose 5*k**4 - 42595*k**3 + 120983985*k**2 - 114652376225*k + 228821157190 = 0. What is k?
2, 2839
Find s such that -s**5/11 + s**4 + 93*s**3/11 + 157*s**2/11 - 56*s/11 - 204/11 = 0.
-3, -2, 1, 17
Factor -o**5/4 - o**4/4 + 3*o**3/2 + 7*o**2/2 + 11*o/4 + 3/4.
-(o - 3)*(o + 1)**4/4
Suppose n**2/3 - 67*n/3 + 330 = 0. Calculate n.
22, 45
What is x in x**3/3 - 6*x**2 + 32*x/3 = 0?
0, 2, 16
Factor 5*h**3 + 1505*h**2 - 6085*h + 4575.
5*(h - 3)*(h - 1)*(h + 305)
Let 2*g**2/15 + 14*g/3 - 76/5 = 0. Calculate g.
-38, 3
Factor 5*j**3 - 905*j**2 - 2750*j - 1840.
5*(j - 184)*(j + 1)*(j + 2)
Factor -f**4 + 4*f**3 - f**2 - 6*f.
-f*(f - 3)*(f - 2)*(f + 1)
Find n such that -120*n**3 + 4034*n**2/3 - 270*n - 44/3 = 0.
-2/45, 1/4, 11
Find d such that 10*d**5 - 265*d**4 - 420*d**3 - 5*d**2 + 140*d = 0.
-1, 0, 1/2, 28
Factor -3*j**3/5 + 393*j**2/5 + 798*j/5.
-3*j*(j - 133)*(j + 2)/5
Factor -1855*a**2 - 5*a.
-5*a*(371*a + 1)
Factor 2*m**3 + 2*m**2 - 20*m + 16.
2*(m - 2)*(m - 1)*(m + 4)
Factor -2*r**2/5 + 758*r/5 - 1508/5.
-2*(r - 377)*(r - 2)/5
Factor 3*i**3 + 165*i**2 + 2064*i + 7488.
3*(i + 8)**2*(i + 39)
Factor -a**3 - 12*a**2 - 48*a - 64.
-(a + 4)**3
Solve j**4 - 4192*j**3 + 6589824*j**2 - 4604090368*j + 