
-5*(a + 8)*(a + 14)
Let 3*z**3 + 18*z**2 + 27*z + 12 = 0. What is z?
-4, -1
Factor -4*j**4 - 324*j**3 - 6712*j**2 - 5760*j + 12800.
-4*(j - 1)*(j + 2)*(j + 40)**2
Factor 4*x**3 + 22*x**2/3 - 6*x - 28/3.
2*(x + 1)*(x + 2)*(6*x - 7)/3
Solve 4*q**4 - 32*q**3 + 72*q**2 - 108 = 0.
-1, 3
Factor -i**2/2 + 599*i - 358801/2.
-(i - 599)**2/2
Factor -3*y**2/8 + 3*y/2 - 3/2.
-3*(y - 2)**2/8
Let 14*a**4 + 1892*a**3/3 - 5864*a**2/3 + 4208*a/3 - 256 = 0. What is a?
-48, 2/7, 2/3, 2
Let -2*i**4/7 + 6*i**3/7 + 4*i**2/7 - 24*i/7 + 16/7 = 0. What is i?
-2, 1, 2
Suppose -3*i**4/8 - 45*i**3/8 - 75*i**2/8 + 45*i/8 + 39/4 = 0. Calculate i.
-13, -2, -1, 1
What is w in 2*w**4 - 40*w**3 - 90*w**2 + 40*w + 88 = 0?
-2, -1, 1, 22
Find r such that 30*r**5/13 + 274*r**4/13 - 54*r**3/13 - 882*r**2/13 - 656*r/13 - 72/13 = 0.
-9, -1, -2/15, 2
Factor 3*d**4 + 13*d**3 + 12*d**2 - 12*d - 16.
(d - 1)*(d + 2)**2*(3*d + 4)
Factor -s**5/2 + s**4/2 + 9*s**3 - 25*s**2 + 47*s/2 - 15/2.
-(s - 3)*(s - 1)**3*(s + 5)/2
Factor -3*u**2 - 211*u + 142.
-(u + 71)*(3*u - 2)
Let 5*f**3 + 15*f**2 = 0. What is f?
-3, 0
What is g in -35*g**5 + 208*g**4/3 - 101*g**3/3 - 2*g**2/3 = 0?
-2/105, 0, 1
Let c**2/6 - c/6 = 0. What is c?
0, 1
Suppose -2*t**2/5 + 44*t - 218/5 = 0. Calculate t.
1, 109
Suppose 3*b**5/4 - 7*b**4 - 6*b**3 + 19*b**2/2 + 21*b/4 - 5/2 = 0. What is b?
-1, 1/3, 1, 10
Factor 3*g**3/7 + 12*g**2/7 - 33*g/7 + 18/7.
3*(g - 1)**2*(g + 6)/7
Factor -2*m**2 - 24*m - 22.
-2*(m + 1)*(m + 11)
Determine m so that 5*m**3 + 1485*m**2 - 7550*m = 0.
-302, 0, 5
Suppose 2*q**2 - 436*q + 23762 = 0. What is q?
109
Factor -5*i**3 + 11045*i**2 + 5*i - 11045.
-5*(i - 2209)*(i - 1)*(i + 1)
Factor 5*o**2 + 225*o - 1250.
5*(o - 5)*(o + 50)
Determine o so that 10*o**4 + 8*o**3/3 - 58*o**2/3 - 20*o/3 + 16/3 = 0.
-1, 2/5, 4/3
Solve 2*b**2/11 + 30*b/11 + 8 = 0.
-11, -4
Factor -256*h**3 - 64704*h**2 - 5451312*h - 153091012.
-4*(4*h + 337)**3
Factor -2*z**3 + 84*z**2 + 176*z.
-2*z*(z - 44)*(z + 2)
Determine h, given that -2*h**5/5 + 2*h**4 - 6*h**3/5 - 18*h**2/5 = 0.
-1, 0, 3
What is i in 18*i**5 - 40*i**4 - 64*i**3 + 52*i**2 + 46*i - 12 = 0?
-1, 2/9, 1, 3
Factor 4*x**2 + 60*x - 64.
4*(x - 1)*(x + 16)
Let 5*k**2 - 155*k + 150 = 0. Calculate k.
1, 30
Factor -3*k**3 + 10170*k**2 - 8629236*k + 17217816.
-3*(k - 1694)**2*(k - 2)
Factor 2*i**2 - 56*i.
2*i*(i - 28)
Find w such that 3*w**2 + 441*w + 1296 = 0.
-144, -3
Find k, given that -3*k**4 - 6*k**3 + 177*k**2 - 576*k + 540 = 0.
-10, 2, 3
Solve 3*v**5 + 12*v**4 + 9*v**3 - 12*v**2 - 12*v = 0 for v.
-2, -1, 0, 1
Solve w**5/4 + w**4/2 - 11*w**3/4 - 10*w**2 - 11*w - 4 = 0.
-2, -1, 4
Determine o so that 20*o**4 - 165*o**3 - 260*o**2 + 1155*o - 270 = 0.
-3, 1/4, 2, 9
What is z in -2*z**2/9 - 4*z + 416/9 = 0?
-26, 8
Find t, given that -2*t**5 - 36*t**4 + 82*t**3 + 36*t**2 - 80*t = 0.
-20, -1, 0, 1, 2
Factor 3*u**3 + 129*u**2 + 480*u + 468.
3*(u + 2)**2*(u + 39)
Factor r**3/5 - 187*r**2/5 - 377*r/5 - 189/5.
(r - 189)*(r + 1)**2/5
Let -2*q**3/13 + 118*q**2/13 - 228*q/13 = 0. What is q?
0, 2, 57
Determine l, given that -2*l**2 + 334*l + 676 = 0.
-2, 169
Factor 6*h**3 + 58*h**2 - 256*h/3 + 88/3.
2*(h + 11)*(3*h - 2)**2/3
Solve -13*q**3/2 + 23*q**2/2 - 7*q/2 - 3/2 = 0.
-3/13, 1
Suppose 4*w**5 - 16*w**4 - 340*w**3 + 352*w**2 = 0. Calculate w.
-8, 0, 1, 11
Find k such that -4*k**4 + 496*k**3 = 0.
0, 124
Factor -u**2/2 - 59*u - 117/2.
-(u + 1)*(u + 117)/2
Determine s so that -2*s**4/9 + 4*s**3/3 + 2*s**2 - 28*s/9 = 0.
-2, 0, 1, 7
Factor -c**4/4 - 5*c**3/2 - 8*c**2 - 8*c.
-c*(c + 2)*(c + 4)**2/4
Solve -50*h**4/7 + 60*h**3/7 + 72*h**2/7 + 16*h/7 = 0.
-2/5, 0, 2
Solve 2*y**2 + 18*y - 224 = 0 for y.
-16, 7
Factor -5*q**3 - 100*q**2 + 755*q - 650.
-5*(q - 5)*(q - 1)*(q + 26)
Factor 2*f**4/3 + 16*f**3/3 + 34*f**2/3 + 20*f/3.
2*f*(f + 1)*(f + 2)*(f + 5)/3
Factor 5*l**3 - 25*l**2 - 65*l - 35.
5*(l - 7)*(l + 1)**2
Solve 5*x**4 - 345*x**3 + 8385*x**2 - 87035*x + 329550 = 0 for x.
13, 30
Suppose -k**2/4 + 201*k/4 - 50 = 0. Calculate k.
1, 200
Factor -3*x**5/5 - 117*x**4/5 - 1296*x**3/5 - 2916*x**2/5.
-3*x**2*(x + 3)*(x + 18)**2/5
Factor 4*i**5 - 4*i**4 - 24*i**3 + 16*i**2 + 32*i.
4*i*(i - 2)**2*(i + 1)*(i + 2)
Solve -25*d**2 - 230*d + 495 = 0.
-11, 9/5
Factor -3*p**2 - 444*p - 2145.
-3*(p + 5)*(p + 143)
Factor -5*g**3 - 2260*g**2 - 255380*g.
-5*g*(g + 226)**2
Suppose 8*t**2 - 1140*t + 568 = 0. What is t?
1/2, 142
Find c such that -73*c**3/2 + 433*c**2/2 - 627*c/2 - 45/2 = 0.
-5/73, 3
Factor -3*k**3 + 12*k**2 + 21*k - 30.
-3*(k - 5)*(k - 1)*(k + 2)
Find a, given that 3*a**2 - 72*a + 432 = 0.
12
Factor -f**3/2 + 97*f**2/2.
-f**2*(f - 97)/2
Find a such that 2*a**5/5 + 2*a**4/5 - 68*a**3/5 + 124*a**2/5 + 66*a/5 - 126/5 = 0.
-7, -1, 1, 3
Factor 5*o**3 + 5*o**2 - 20*o - 20.
5*(o - 2)*(o + 1)*(o + 2)
Factor 4*a**5/3 + 144*a**4 + 1688*a**3/3 + 2512*a**2/3 + 556*a + 416/3.
4*(a + 1)**4*(a + 104)/3
Factor k**5/4 - 14*k**4 + 561*k**3/2 - 2312*k**2 + 24565*k/4.
k*(k - 17)**3*(k - 5)/4
Find o such that 3*o**5/7 - 30*o**4/7 - 114*o**3/7 - 48*o**2/7 + 111*o/7 + 78/7 = 0.
-2, -1, 1, 13
Factor w**2 - 79*w - 80.
(w - 80)*(w + 1)
Solve 3*k**4/2 + 2*k**3 + k**2/2 = 0.
-1, -1/3, 0
Determine q, given that -q**4/2 + 6*q**3 - 23*q**2 + 30*q - 25/2 = 0.
1, 5
Let 4*s**4 + 176*s**3 + 1460*s**2 + 3400*s = 0. What is s?
-34, -5, 0
Factor -3*m**4/5 + 6*m**3 + 69*m**2/5 + 36*m/5.
-3*m*(m - 12)*(m + 1)**2/5
What is n in 14*n**2 - 1572*n + 448 = 0?
2/7, 112
Factor 9*v**4 - 33*v**3 - 17*v**2 + 21*v - 4.
(v - 4)*(v + 1)*(3*v - 1)**2
Factor v**5/3 - 56*v**4/3 - 19*v**3.
v**3*(v - 57)*(v + 1)/3
Factor 21*z**2 - 2505*z + 714.
3*(z - 119)*(7*z - 2)
What is h in -33*h**4/8 - 9*h**3 + 195*h**2/2 + 18*h = 0?
-6, -2/11, 0, 4
Let -2*x**3/21 + 1198*x**2/21 - 2390*x/21 + 398/7 = 0. What is x?
1, 597
Factor h**4 + 17*h**3 + 75*h**2 + 103*h + 44.
(h + 1)**2*(h + 4)*(h + 11)
Suppose 2*g**2/3 - 26*g/3 + 44/3 = 0. Calculate g.
2, 11
Determine l, given that -5*l**3 - 5*l**2 + 85*l - 75 = 0.
-5, 1, 3
Factor -r**4/3 + 10*r**3/3 - 11*r**2 + 40*r/3 - 16/3.
-(r - 4)**2*(r - 1)**2/3
Factor -b**2 + 6*b + 40.
-(b - 10)*(b + 4)
Solve 5*d**2 - 165*d - 540 = 0.
-3, 36
Factor -2*v**4 + 42*v**3 - 38*v**2 - 42*v + 40.
-2*(v - 20)*(v - 1)**2*(v + 1)
Factor -z**4/4 + z**3 - 3*z**2/2 + z - 1/4.
-(z - 1)**4/4
Solve 5*k**2 + 3280*k + 3275 = 0.
-655, -1
Factor u**4/6 + 7*u**3/2 - 2*u**2/3 - 14*u.
u*(u - 2)*(u + 2)*(u + 21)/6
Factor -3*z**3 - 864*z**2 + 2613*z - 1746.
-3*(z - 2)*(z - 1)*(z + 291)
Factor -18*s**2/11 - 1248*s/11 + 840/11.
-6*(s + 70)*(3*s - 2)/11
Factor -x**3 + x**2/6 + x - 1/6.
-(x - 1)*(x + 1)*(6*x - 1)/6
Determine o so that -196*o**2 + 1848*o - 4356 = 0.
33/7
Suppose 84*t**4 - 80*t**3 - 1020*t**2 - 40*t + 96 = 0. Calculate t.
-3, -1/3, 2/7, 4
Solve -s**3/3 + 4*s**2/3 - s/3 - 2 = 0 for s.
-1, 2, 3
Factor 2*x**4 + 32*x**3 + 180*x**2 + 432*x + 378.
2*(x + 3)**3*(x + 7)
Solve 15*k**5/2 - 55*k**4 - 255*k**3 + 1400*k**2 + 6615*k/2 + 1715 = 0.
-14/3, -1, 7
Let 3*c**5/8 - 111*c**4/4 + 726*c**3 - 30567*c**2/4 + 201549*c/8 - 36501/2 = 0. What is c?
1, 4, 23
Determine o, given that 5*o**2 - 120*o = 0.
0, 24
Find m such that -2*m**2/3 - 124*m/3 - 1922/3 = 0.
-31
Let -3*g**4/7 - 4*g**3/7 + g**2 + 4*g/7 - 4/7 = 0. Calculate g.
-2, -1, 2/3, 1
Determine q so that 3*q**2 - 5718*q + 2724627 = 0.
953
Determine n so that 2*n**5/11 + 6*n**4/11 - 2*n**3/11 - 6*n**2/11 = 0.
-3, -1, 0, 1
What is z in -111*z**5 + 4212*z**4 - 43839*z**3 + 73542*z**2 - 31860*z - 1944 = 0?
-2/37, 1, 18
Let 9*c**5/4 + c**4/2 - 27*c**3/4 + 3*c**2 + c = 0. What is c?
-2, -2/9, 0, 1
Find t, given that 3*t**5 + 27*t**4 + 42*t**3 - 198*t**2 - 621*t - 405 = 0.
-5, -3, -1, 3
What is j in 5*j**4 - 45*j**3 + 70*j**2 = 0?
0, 2, 7
Determine i, given that -2*i**3 - 40*i**2 + 86*i - 44 = 0.
-22, 1
Let 3*t**3 - 2883*t**2 + 694080*t - 691200 = 0. Calculate t.
1, 480
Solve w**3/5 + 3*w**2/5 - 5*w + 21/5 = 0 for w.
-7, 1, 3
Solve 2*x**2/7 - 172*x/7 + 3698/7 = 0.
43
Factor -2*z**3 - 12*z**2 + 2*z + 12.
-2*(z - 1)*(z + 1)*(z + 6)
Factor -3*x**2 + 2838*x - 671187.
-3*(x - 473)**2
Find l, given that 2*l**3/7 + 138*l**2/7 - 20*l = 0.
-70, 0, 1
Let 3*q**2 - 12*q - 36 = 0. What is q?
-2, 6
Factor 2*t**3/15 - 34*t**2/15 + 62*t/15 - 2.
2*(t - 15)*(t - 1)**2/15
Let 2*s**2/5 - 24*s/5 + 8 = 0. What is s?
2, 10
Solve t*