3*(b - 6)/3
Factor -5*q**3/3 + 20*q**2/3 - 25*q/3 + 10/3.
-5*(q - 2)*(q - 1)**2/3
Let -2*n**5/3 + 20*n**4/3 - 44*n**3/3 + 8*n**2/3 + 46*n/3 - 28/3 = 0. What is n?
-1, 1, 2, 7
Solve 2*o**2 + 2*o/3 = 0 for o.
-1/3, 0
Suppose -4*r**3 + 34396*r**2 - 73925600*r - 73960000 = 0. What is r?
-1, 4300
Factor -2*b**3/15 - 4*b**2/5 - 16*b/15.
-2*b*(b + 2)*(b + 4)/15
Determine d so that -5*d**2 - 2070*d - 214245 = 0.
-207
Factor 2*v**5 + 7*v**4 + 8*v**3 + 3*v**2.
v**2*(v + 1)**2*(2*v + 3)
Factor -3*q**3/2 - 23*q**2 - 203*q/2 - 98.
-(q + 7)**2*(3*q + 4)/2
Factor -3*z**4 + 9*z**3 - 12*z.
-3*z*(z - 2)**2*(z + 1)
Factor 4*w**2 - 2892*w/5 - 232.
4*(w - 145)*(5*w + 2)/5
Factor 2*z**5/9 - 2*z**4/9 - 4*z**3/3.
2*z**3*(z - 3)*(z + 2)/9
Solve 5*z**3/2 - 235*z**2/2 - 505*z/2 + 735/2 = 0.
-3, 1, 49
Factor 2*h**2/7 - 10*h + 300/7.
2*(h - 30)*(h - 5)/7
Let -5*w**5 + 270*w**4 - 1025*w**3 + 1260*w**2 - 500*w = 0. Calculate w.
0, 1, 2, 50
Find f such that 3*f**2/4 + 1665*f/4 - 2511/2 = 0.
-558, 3
Factor -2*i**2/7 - 152*i/7 - 2726/7.
-2*(i + 29)*(i + 47)/7
Solve -4*w**2 + 284*w - 1320 = 0.
5, 66
Factor -q**2/6 + 2146*q/3 - 4291/6.
-(q - 4291)*(q - 1)/6
Solve 2*w**2/5 + 148*w/5 + 2738/5 = 0.
-37
Factor 3*g**4 - 84*g**3 + 459*g**2 - 378*g.
3*g*(g - 21)*(g - 6)*(g - 1)
Factor -5*m**2 - 920*m - 42320.
-5*(m + 92)**2
Suppose -x**5/6 - 140*x**4/3 + 284*x**3 - 1711*x**2/3 + 2857*x/6 - 143 = 0. What is x?
-286, 1, 3
Factor 98*b**3/9 - 658*b**2/3 + 912*b - 1080.
2*(b - 15)*(7*b - 18)**2/9
Find s such that 4*s**4 - 54*s**3 + 258*s**2 - 496*s + 288 = 0.
1, 4, 9/2
Let -o**4/6 + o**3/6 + o**2/2 - o/6 - 1/3 = 0. What is o?
-1, 1, 2
Suppose n**2/6 - 3*n - 319/6 = 0. What is n?
-11, 29
Factor -45*p**3 - 11285*p**2 - 8740*p + 2500.
-5*(p + 1)*(p + 250)*(9*p - 2)
What is t in t**3/2 - 123*t**2/2 + 2268*t - 21870 = 0?
15, 54
Factor 1352*o**3/21 - 936*o**2/7 + 486*o/7.
2*o*(26*o - 27)**2/21
Factor 33*i**3/5 - 3*i**2/5 - 36*i/5.
3*i*(i + 1)*(11*i - 12)/5
Determine g, given that 3*g**2 - 2754*g + 632043 = 0.
459
Let -10*f**4 + 7*f**3/3 + 6*f**2 = 0. Calculate f.
-2/3, 0, 9/10
Determine o, given that -44*o**3 + 228*o**2 + 224*o - 48 = 0.
-1, 2/11, 6
Find p such that -2*p**2/7 - 456*p/7 = 0.
-228, 0
Factor -3*y**2 - 81*y + 84.
-3*(y - 1)*(y + 28)
What is u in -3*u**4 - 30*u**3 - 21*u**2 + 270*u + 432 = 0?
-8, -3, -2, 3
Factor 4*j**3/5 - 132*j**2/5 + 252*j/5 - 124/5.
4*(j - 31)*(j - 1)**2/5
Find m such that m**3 - 21*m**2 - 105*m + 125 = 0.
-5, 1, 25
Factor -21*z**3/2 - 101*z**2/2 - 53*z + 12.
-(z + 2)*(z + 3)*(21*z - 4)/2
Factor 2*t**3/9 + 64*t**2/9 + 616*t/9 + 1568/9.
2*(t + 4)*(t + 14)**2/9
Find r such that -5*r**4 + 360*r**3 - 8265*r**2 + 58870*r = 0.
0, 14, 29
Factor 3*o**2 + 99*o + 186.
3*(o + 2)*(o + 31)
Factor 15*l**3 + 2035*l**2 + 1345*l - 675.
5*(l + 1)*(l + 135)*(3*l - 1)
Let -2*f**5 + 12*f**4 - 6*f**3 - 52*f**2 + 48*f = 0. What is f?
-2, 0, 1, 3, 4
Factor -s**4/4 + s**3/4 + 9*s**2/4 + 11*s/4 + 1.
-(s - 4)*(s + 1)**3/4
Factor -2*w**3/21 + 30*w**2/7 - 450*w/7 + 2250/7.
-2*(w - 15)**3/21
Solve -25*w**5 - 215*w**4 + 390*w**3 + 380*w**2 - 200*w = 0 for w.
-10, -1, 0, 2/5, 2
Factor u**2/5 - 162*u + 2421/5.
(u - 807)*(u - 3)/5
Factor -5*v**4 + 30*v**3 + 5*v**2 - 30*v.
-5*v*(v - 6)*(v - 1)*(v + 1)
Factor u**3/7 - 260*u**2/7 + 16368*u/7 + 69696/7.
(u - 132)**2*(u + 4)/7
Let 4*f**3/5 + 92*f**2/5 - 196*f/5 + 20 = 0. Calculate f.
-25, 1
Suppose -2*c**2 - 130*c + 132 = 0. Calculate c.
-66, 1
Factor 4*p**3 + 64*p**2.
4*p**2*(p + 16)
Factor s**5 + 108*s**4 + 421*s**3 + 522*s**2 + 208*s.
s*(s + 1)**2*(s + 2)*(s + 104)
What is m in 4*m**4 + 12*m**3 + 8*m**2 = 0?
-2, -1, 0
Solve 4*b**2 - 424*b + 11236 = 0.
53
Factor 2*l**4 + 12*l**3 + 24*l**2 + 20*l + 6.
2*(l + 1)**3*(l + 3)
Factor -p**3/6 - 65*p**2/6 - 544*p/3 - 512/3.
-(p + 1)*(p + 32)**2/6
Factor -c**4 - 8*c**3 - 22*c**2 - 24*c - 9.
-(c + 1)**2*(c + 3)**2
Factor 23*b**4/4 - 35*b**3 + 3*b**2.
b**2*(b - 6)*(23*b - 2)/4
Factor 2*v**2/7 - 398*v/7 - 1212/7.
2*(v - 202)*(v + 3)/7
What is j in -j**4 - 103*j**3 - 2703*j**2 - 2601*j = 0?
-51, -1, 0
Solve -3*c**3 + 4*c**2 - c = 0 for c.
0, 1/3, 1
Find f such that -3*f**2 - 2250*f - 421875 = 0.
-375
What is b in 4*b**4 + 72*b**3 + 148*b**2 - 1584*b + 1936 = 0?
-11, 2
Factor -2*v**3 - 36*v**2 - 118*v + 396.
-2*(v - 2)*(v + 9)*(v + 11)
Let -r**3 - 14*r**2 + 196*r + 2744 = 0. What is r?
-14, 14
Find i, given that -15*i**4 - 1629*i**3 - 44706*i**2 - 25596*i + 17496 = 0.
-54, -1, 2/5
Factor 3*l**2 + 60*l.
3*l*(l + 20)
Factor n**2 + 868*n.
n*(n + 868)
Suppose 5*m**3 + 15*m**2 - 20*m = 0. What is m?
-4, 0, 1
Factor j**5/7 - 8*j**3/7 + 16*j/7.
j*(j - 2)**2*(j + 2)**2/7
What is k in 2*k**4/11 + 100*k**3/11 + 1656*k**2/11 + 9500*k/11 + 722 = 0?
-19, -11, -1
Factor -4*m**4/7 - 96*m**3/7 - 180*m**2/7 - 88*m/7.
-4*m*(m + 1)**2*(m + 22)/7
Suppose -x**5/2 + x**3/2 = 0. Calculate x.
-1, 0, 1
Find h such that 2*h**3/5 - 8*h**2/5 - 8*h + 96/5 = 0.
-4, 2, 6
Suppose -v**5/4 + 11*v**4/2 + 83*v**3/4 - 569*v**2 - 2329*v - 2312 = 0. What is v?
-8, -2, 17
Factor 25*x**2/2 - 185*x/2 + 35.
5*(x - 7)*(5*x - 2)/2
Determine a so that 4*a**4 + 328*a**3 + 8208*a**2 + 55160*a - 63700 = 0.
-35, -13, 1
Factor -2*i**3/13 + 204*i**2/13 - 5202*i/13.
-2*i*(i - 51)**2/13
Solve -26*z**3 - 654*z**2 - 724*z - 96 = 0 for z.
-24, -1, -2/13
Solve -i**5/3 - 5*i**4/3 - 7*i**3/3 - i**2 = 0.
-3, -1, 0
Let -2*b**4/15 - 8*b**3/15 + 8*b**2/5 + 64*b/15 - 128/15 = 0. Calculate b.
-4, 2
Determine y, given that y**4/5 - 16*y**3/5 - 17*y**2/5 = 0.
-1, 0, 17
Factor 2*r**3/13 + 4*r**2/13 - 8*r/13 - 16/13.
2*(r - 2)*(r + 2)**2/13
Factor 2*h**2 + 36*h.
2*h*(h + 18)
Factor 4*j**2 - 1124*j + 2232.
4*(j - 279)*(j - 2)
Solve q**2/4 + 2*q + 4 = 0 for q.
-4
Find y, given that 3*y**5 - 30*y**4 - 51*y**3 + 198*y**2 = 0.
-3, 0, 2, 11
Let -2*a**4 + 20*a**3 + 222*a**2 + 304*a - 544 = 0. Calculate a.
-4, 1, 17
Let -i**5/6 + 2*i**4/3 + i**3/2 - 5*i**2/3 - 4*i/3 = 0. Calculate i.
-1, 0, 2, 4
Factor -j**5 - 4*j**4 + 11*j**3 - 6*j**2.
-j**2*(j - 1)**2*(j + 6)
Suppose -5*a**3 - 430*a**2 - 9660*a - 17640 = 0. What is a?
-42, -2
Let -207*d**2 + 19*d + 6 = 0. What is d?
-3/23, 2/9
Find x such that 32*x**2 - 412*x + 1260 = 0.
5, 63/8
Suppose k**5 - 15*k**4 + 23*k**3 + 43*k**2 - 48*k - 52 = 0. What is k?
-1, 2, 13
Factor 5*c**3 - 35*c**2 + 60*c.
5*c*(c - 4)*(c - 3)
Factor 3*y**3 + 54*y**2 + 288*y + 480.
3*(y + 4)**2*(y + 10)
Factor -4*n**3 - 4*n**2 + 88*n + 160.
-4*(n - 5)*(n + 2)*(n + 4)
Find y, given that -2*y**3 + 98*y**2 - 1408*y + 4840 = 0.
5, 22
Factor -b**3/3 + 6*b**2 + 61*b/3 + 14.
-(b - 21)*(b + 1)*(b + 2)/3
Factor 3*d**3/7 - 87*d**2/7 + 480*d/7 + 2304/7.
3*(d - 16)**2*(d + 3)/7
Factor -5*j**2 + 50*j - 125.
-5*(j - 5)**2
Find n such that -3*n**2 + 30*n - 48 = 0.
2, 8
Factor s**3/2 - 2*s**2 + 3*s/2.
s*(s - 3)*(s - 1)/2
Suppose -14*q**5 - 38*q**4 + 348*q**3 + 1024*q**2 - 320*q = 0. Calculate q.
-4, 0, 2/7, 5
Find q, given that 35*q**3 + 550*q**2 + 365*q - 150 = 0.
-15, -1, 2/7
Factor 5*k**3 + 620*k**2 - 5200*k + 10560.
5*(k - 4)**2*(k + 132)
Factor -w**3 + w.
-w*(w - 1)*(w + 1)
Factor h**2/5 + 14*h/5 + 48/5.
(h + 6)*(h + 8)/5
Factor 3*l**2 - 19*l - 260.
(l - 13)*(3*l + 20)
Factor -2*m**2 + 34*m - 84.
-2*(m - 14)*(m - 3)
Factor 15*a**2 + 684*a - 276.
3*(a + 46)*(5*a - 2)
Factor 4*o**5/5 + 8212*o**4/5 + 1124496*o**3 + 1285668288*o**2/5 + 1280054016*o/5.
4*o*(o + 1)*(o + 684)**3/5
Find m, given that -5*m**2 + 2125*m = 0.
0, 425
Solve -5*t**5 - 70*t**4 + 40*t**3 + 1840*t**2 - 5200*t + 4000 = 0 for t.
-10, 2
Find i, given that -5*i**2 - 7960*i = 0.
-1592, 0
Solve 5*w**5 - 45*w**4 + 35*w**3 + 45*w**2 - 40*w = 0.
-1, 0, 1, 8
Factor 4*z**2 - 56*z + 52.
4*(z - 13)*(z - 1)
What is m in -19*m**2 + 54*m + 9 = 0?
-3/19, 3
What is t in 2116*t**5 - 114632*t**4 - 217104*t**3 + 40352*t**2 - 1792*t = 0?
-2, 0, 2/23, 56
Factor -4*h**3 + 168*h**2 + 4*h - 168.
-4*(h - 42)*(h - 1)*(h + 1)
What is y in y**2 - 7*y + 6 = 0?
1, 6
Let -3*q**2/8 - 501*q/4 - 999/8 = 0. What is q?
-333, -1
Suppose 2*t**4/3 + 32*t**3/3 + 170*t**2/3 + 124*t + 96 = 0. Calculate t.
-8, -3, -2
Let -8*h**5 - 94*h**4 - 208*h**3 - 86*h**2 + 36*h = 0. What is h?
-9, -2, -1, 0, 1/4
Find f, given that f**3/2 + 39*f**2 + 720*f - 1600 = 0.
-40, 2
Solve -3*u**2/7 + 29*u/7 + 10/7 = 0.
-1/3, 10
Find c, given that -c**2/2 - 24*c + 49/2 = 0.
-49,