e -6*m**4 - 82*m**3 - 46*m**2 + 82*m + 52 = 0. Calculate m.
-13, -1, -2/3, 1
Find z, given that -2*z**2/17 + 16*z/17 - 14/17 = 0.
1, 7
Suppose 9*q**5 + 2226*q**4 + 134638*q**3 - 371752*q**2 + 202625*q - 31250 = 0. Calculate q.
-125, 1/3, 2
Solve -4*i**2 + 8*i = 0 for i.
0, 2
Factor l**3/6 + 19*l**2/6 + 79*l/6 - 33/2.
(l - 1)*(l + 9)*(l + 11)/6
Suppose -3*q**4/4 + 27*q**3/8 - 21*q**2/4 + 27*q/8 - 3/4 = 0. Calculate q.
1/2, 1, 2
Determine o so that 12*o**5/7 + 40*o**4 + 348*o**3/7 - 96*o**2/7 - 176*o/7 = 0.
-22, -1, 0, 2/3
Find w, given that -117*w**2/7 + 591*w/7 - 30/7 = 0.
2/39, 5
Factor -4*s**2 + 33*s - 8.
-(s - 8)*(4*s - 1)
Factor 18*s**4/7 - 8832*s**3/7 + 1077488*s**2/7 + 1448448*s/7 + 484128/7.
2*(s - 246)**2*(3*s + 2)**2/7
Factor 4*t**4 - 10*t**3 - 6*t**2 + 16*t + 8.
2*(t - 2)**2*(t + 1)*(2*t + 1)
Suppose -d**4 - 3*d**3 + 4*d**2 = 0. What is d?
-4, 0, 1
Suppose z**2/8 + 365*z/4 + 133225/8 = 0. Calculate z.
-365
Factor 12*y**5 + 636*y**4 + 8103*y**3 - 8586*y**2 + 2187*y.
3*y*(y + 27)**2*(2*y - 1)**2
Find p such that 25*p**2 + 4565*p + 2730 = 0.
-182, -3/5
Factor -k**2/4 + 11*k/4 - 6.
-(k - 8)*(k - 3)/4
Factor -361*l**2 - 380*l - 100.
-(19*l + 10)**2
Suppose -2*u**5/7 + 90*u**4/7 - 82*u**3/7 - 38*u**2 + 12*u + 176/7 = 0. What is u?
-1, 1, 2, 44
Let -g**2/3 + 61*g + 186 = 0. Calculate g.
-3, 186
Determine h, given that -h**4/5 + 13*h**3/5 - 12*h**2 + 112*h/5 - 64/5 = 0.
1, 4
What is v in v**2/8 - 53*v/8 + 141/4 = 0?
6, 47
Factor -2*b**3/3 + 2*b**2 + 4*b - 16/3.
-2*(b - 4)*(b - 1)*(b + 2)/3
Suppose 2*h**3 - 34*h**2/3 + 56*h/3 - 8 = 0. Calculate h.
2/3, 2, 3
Find r, given that -2*r**4/13 - 64*r**3/13 - 334*r**2/13 - 584*r/13 - 24 = 0.
-26, -3, -2, -1
Determine s, given that -4*s**2/3 + 76*s + 232/3 = 0.
-1, 58
Factor -2*g**2 + 5820*g - 5818.
-2*(g - 2909)*(g - 1)
Factor 5*g**2 - 2665*g + 2660.
5*(g - 532)*(g - 1)
Find f, given that f**4/4 - 7*f**3/4 - 13*f**2 - 23*f - 12 = 0.
-2, -1, 12
Determine q, given that -5*q**3 + 6*q**2 + 99*q - 20 = 0.
-4, 1/5, 5
Let 15*r**4 + 714*r**3 - 5973*r**2 + 7224*r - 1980 = 0. What is r?
-55, 2/5, 1, 6
Factor -9*p**3/8 - 3*p**2/4 + 3*p/8.
-3*p*(p + 1)*(3*p - 1)/8
Factor -6*p**2/5 + 3*p/5 + 3/5.
-3*(p - 1)*(2*p + 1)/5
Let -3*h**4/4 + 63*h**3 - 1419*h**2/4 + 585*h/2 = 0. Calculate h.
0, 1, 5, 78
Suppose 2*x**2/5 - 8*x + 38/5 = 0. What is x?
1, 19
Suppose -2*r**2/5 + 26*r/5 - 44/5 = 0. What is r?
2, 11
Solve -u**3/2 + 2*u**2 - 3*u/2 = 0.
0, 1, 3
Factor 27*d**4/4 + 1359*d**3 + 135897*d**2/2 - 45753*d + 30603/4.
3*(d + 101)**2*(3*d - 1)**2/4
Determine r, given that -5*r**5 - 90*r**4 - 260*r**3 + 810*r**2 - 455*r = 0.
-13, -7, 0, 1
Factor -3*z**2 + 336*z - 9408.
-3*(z - 56)**2
Factor -3*k**3/2 + 6*k**2 - 15*k/2 + 3.
-3*(k - 2)*(k - 1)**2/2
Factor -5*i**2 + 380*i + 780.
-5*(i - 78)*(i + 2)
Factor 4*p**4/3 + 16*p**3 + 208*p**2/3 + 128*p + 256/3.
4*(p + 2)**2*(p + 4)**2/3
Factor -34300*a**3 + 8820*a**2 - 756*a + 108/5.
-4*(35*a - 3)**3/5
Suppose -2*x**3 - 2*x**2 + 48*x - 72 = 0. What is x?
-6, 2, 3
Suppose -3*s**4/4 + 19*s**3/4 + 65*s**2/4 + 61*s/4 + 9/2 = 0. What is s?
-1, -2/3, 9
Factor -5*t**2 + 65*t - 60.
-5*(t - 12)*(t - 1)
What is u in 3*u**2 - 57*u - 126 = 0?
-2, 21
Solve -3*p**4 - 6*p**3 + 60*p**2 + 198*p + 135 = 0 for p.
-3, -1, 5
Factor -a**3/3 - a**2 - 2*a/3.
-a*(a + 1)*(a + 2)/3
Factor -9*n**3 + 78*n**2 - 135*n - 54.
-3*(n - 6)*(n - 3)*(3*n + 1)
What is x in -9*x**5/5 + 21*x**4/5 + 9*x**3 - 9*x**2 - 96*x/5 - 36/5 = 0?
-1, -2/3, 2, 3
What is s in -s**4/6 - s**3/2 + s**2/6 + s/2 = 0?
-3, -1, 0, 1
Factor 3*o**4/4 + 21*o**3 + 183*o**2 + 504*o + 432.
3*(o + 2)**2*(o + 12)**2/4
Factor 3*h**3 - 1509*h**2 + 192000*h - 562500.
3*(h - 250)**2*(h - 3)
Factor -v**3/2.
-v**3/2
Factor a**3/4 - 5*a**2/4 + a.
a*(a - 4)*(a - 1)/4
Factor 2*u**3 + 18*u**2 + 28*u.
2*u*(u + 2)*(u + 7)
Factor -4*r**5/9 + 36*r**4 + 1336*r**3/9 + 2024*r**2/9 + 452*r/3 + 340/9.
-4*(r - 85)*(r + 1)**4/9
Factor 2*i**3/5 + 35*i**2 + 3446*i/5 - 1767/5.
(i + 31)*(i + 57)*(2*i - 1)/5
Suppose 2*t**2 - 924*t - 926 = 0. What is t?
-1, 463
Factor -3*m**4/7 - 45*m**3/7 + 102*m**2/7.
-3*m**2*(m - 2)*(m + 17)/7
Find l such that 34322*l**2/3 + 1048*l/3 + 8/3 = 0.
-2/131
Factor -2*j**3/3 - 4198*j**2/3 - 733600*j + 735000.
-2*(j - 1)*(j + 1050)**2/3
Determine p, given that -6*p**5/5 - 58*p**4/5 - 196*p**3/5 - 264*p**2/5 - 16*p + 64/5 = 0.
-4, -2, 1/3
Suppose -4*p**4 - 7884*p**3 = 0. Calculate p.
-1971, 0
Factor -10*j**3 + 54*j**2 + 10*j - 54.
-2*(j - 1)*(j + 1)*(5*j - 27)
Find o, given that -2*o**5/15 + 4*o**4/3 - 68*o**3/15 + 104*o**2/15 - 74*o/15 + 4/3 = 0.
1, 2, 5
Factor -2*v**3 + 1644*v**2 - 337842*v.
-2*v*(v - 411)**2
Factor -3*c**2 - 23688*c - 46760112.
-3*(c + 3948)**2
Factor 2*i**4/9 - 4*i**3/3 + 26*i**2/9 - 8*i/3 + 8/9.
2*(i - 2)**2*(i - 1)**2/9
Let -2*i**5/5 - 26*i**4/5 + 96*i**3/5 + 3024*i**2/5 + 16416*i/5 + 28512/5 = 0. What is i?
-6, 11
Determine b, given that 3*b**3/2 - 51*b**2/2 + 69*b + 252 = 0.
-2, 7, 12
Factor 4*m**3 + 12*m**2 - 40*m.
4*m*(m - 2)*(m + 5)
Suppose -234*k**5/7 + 2913*k**4/7 - 9678*k**3/7 + 3708*k**2/7 + 216*k/7 = 0. Calculate k.
-2/39, 0, 1/2, 6
Factor -5*h**4 + 40*h**3 + 70*h**2 - 240*h + 135.
-5*(h - 9)*(h - 1)**2*(h + 3)
Let -5*b**3 - 75*b**2 - 240*b + 320 = 0. Calculate b.
-8, 1
Determine v so that 4*v**3 - 68*v**2 - 80*v + 144 = 0.
-2, 1, 18
Factor h**3/12 - 7*h**2/3 + 16*h.
h*(h - 16)*(h - 12)/12
Solve c**2 - 114*c + 3249 = 0.
57
Suppose 2*j**5 + 36*j**4 - 42*j**3 - 76*j**2 = 0. Calculate j.
-19, -1, 0, 2
Factor a**2/2 + 10*a + 32.
(a + 4)*(a + 16)/2
Find b, given that -b**2/6 - 11*b/2 = 0.
-33, 0
Factor -65*j**3 + 80*j**2 - 15*j.
-5*j*(j - 1)*(13*j - 3)
Solve 3*d**3/5 + 3*d**2 - 24*d/5 - 36/5 = 0.
-6, -1, 2
Factor -4*f**2 + 1584*f + 1588.
-4*(f - 397)*(f + 1)
Factor 3*a**2 - 390*a + 6327.
3*(a - 111)*(a - 19)
Suppose a**2/3 + 44*a/3 + 43/3 = 0. What is a?
-43, -1
What is r in 2*r**4 - 2*r**3 - 24*r**2 = 0?
-3, 0, 4
Factor 6*x**2 - 553*x + 547.
(x - 1)*(6*x - 547)
Solve -12*o**4 + 428*o**3 - 416*o**2 = 0.
0, 1, 104/3
Let 4*x**2/5 - 92*x/5 + 168/5 = 0. What is x?
2, 21
Factor -3*k**2 + 27*k + 30.
-3*(k - 10)*(k + 1)
Factor 3*w**4 + 30*w**3 + 27*w**2 - 156*w + 96.
3*(w - 1)**2*(w + 4)*(w + 8)
Find k such that -5*k**2 + 140*k + 465 = 0.
-3, 31
Suppose 6*p**4/5 - 8*p**2/15 = 0. What is p?
-2/3, 0, 2/3
Let 4*i**3 - 112*i**2 + 1012*i - 2904 = 0. Calculate i.
6, 11
Factor -3*g**3 - 174*g**2 + 1125*g - 1728.
-3*(g - 3)**2*(g + 64)
Find d, given that -d**5/7 + 9*d**4/7 + 22*d**3/7 - 92*d**2/7 - 264*d/7 - 160/7 = 0.
-2, -1, 4, 10
Solve 2*s**5/5 + 4*s**4/5 - 18*s**3/5 - 4*s**2/5 + 16*s/5 = 0 for s.
-4, -1, 0, 1, 2
Determine o, given that o**2 - 178*o + 1197 = 0.
7, 171
Factor -k**2/4 + 13*k/4 - 11/2.
-(k - 11)*(k - 2)/4
Find b such that 4*b**2 + 8*b - 12 = 0.
-3, 1
Determine o so that 10*o**4 + 225*o**3 - 360*o**2 + 5*o + 120 = 0.
-24, -1/2, 1
Factor d**5/5 - 2*d**4/5 - 7*d**3/5 + 4*d**2 - 12*d/5.
d*(d - 2)**2*(d - 1)*(d + 3)/5
Factor 2*x**2/3 - 116*x/3 - 560.
2*(x - 70)*(x + 12)/3
Factor 18*r**3 + 615*r**2 + 5304*r + 867.
3*(r + 17)**2*(6*r + 1)
Find x such that x**2/3 + 122*x + 11163 = 0.
-183
Solve 5*s**3 - 660*s**2 + 1305*s - 650 = 0.
1, 130
Factor 2*l**2 + 52*l + 338.
2*(l + 13)**2
Let -40*h**5 + 44*h**4 + 24*h**3 - 20*h**2 - 8*h = 0. Calculate h.
-1/2, -2/5, 0, 1
Determine f, given that -3*f**2/2 - 15*f - 36 = 0.
-6, -4
Factor -6*v**2 - 143*v/3 + 8/3.
-(v + 8)*(18*v - 1)/3
Suppose 44*a**4/7 - 104*a**3/7 + 76*a**2/7 - 16*a/7 = 0. Calculate a.
0, 4/11, 1
Factor 2*a**4/5 + 170*a**3 + 89886*a**2/5 - 90738*a/5.
2*a*(a - 1)*(a + 213)**2/5
Factor -j**2/2 + 27*j - 53/2.
-(j - 53)*(j - 1)/2
Factor 500*n**5 + 2100*n**4 - 4860*n**3 + 3132*n**2 - 648*n.
4*n*(n + 6)*(5*n - 3)**3
Suppose 2*h**2/21 - 46*h/3 - 108/7 = 0. What is h?
-1, 162
Factor -3*w**2 - 45*w + 162.
-3*(w - 3)*(w + 18)
Factor -5*r**3 + 175*r**2 + 780*r.
-5*r*(r - 39)*(r + 4)
Let -5*s**5/3 - 17*s**4/3 - 16*s**3/3 - 4*s**2/3 = 0. What is s?
-2, -1, -2/5, 0
Suppose -5*y**4 - 15*y**3 + 5*y**2 + 15*y = 0. What is y?
-3, -1, 0, 1
Find f, given that -f**4/3 - 63*f**3 - 374*f**2/3 = 0.
-187, -2, 0
Factor -i**4/2 + 11*i**3/2 - 21*i**2 + 34*i - 20.
-(i - 5)*(i - 2)**3/2
Solve 2*t**5/7 - 10*t**3/7 + 8*t/7 = 0.
-2, -1, 0, 1, 2
Factor 5*b**3 + 1475*b**2 + 109515*b + 108045.
5*(b + 1)*(b 