
Factor -3*y**2 + 7128*y - 4234032.
-3*(y - 1188)**2
Find m, given that 3*m**2 - 1404*m - 1407 = 0.
-1, 469
Factor -l**3/2 + 5*l**2 - 3*l/2 - 27.
-(l - 9)*(l - 3)*(l + 2)/2
Find f such that f**2/5 - 80*f + 8000 = 0.
200
Let 2*f**2 - 26*f - 28 = 0. Calculate f.
-1, 14
Factor -3*v**2 - 51*v + 54.
-3*(v - 1)*(v + 18)
Factor -3*q**3 - 39*q**2 - 57*q + 99.
-3*(q - 1)*(q + 3)*(q + 11)
What is a in a**5/2 - a**4/2 - 3*a**3/2 + 5*a**2/2 - a = 0?
-2, 0, 1
Suppose 5*q**4 + 115*q**3 + 715*q**2 + 605*q = 0. What is q?
-11, -1, 0
Let -c**2 - 90*c - 2025 = 0. Calculate c.
-45
Solve x**3/6 - x**2 - 5*x/2 + 50/3 = 0 for x.
-4, 5
Factor 3*b**4/4 - b**3/2 - 7*b**2/4 - b/2.
b*(b - 2)*(b + 1)*(3*b + 1)/4
Factor 2*y**3/3 + 40*y**2/3 + 104*y/3 - 128.
2*(y - 2)*(y + 6)*(y + 16)/3
Factor u**5 - 90*u**4 + 2700*u**3 - 27000*u**2.
u**2*(u - 30)**3
Factor -2*w**3/5 + 12*w**2/5 - 16*w/5.
-2*w*(w - 4)*(w - 2)/5
Factor -375*h**3 - 825*h**2 - 480*h - 84.
-3*(5*h + 2)**2*(5*h + 7)
Solve -x**4 - x**3 + 6*x**2 + 4*x - 8 = 0.
-2, 1, 2
Factor d**3/5 - d**2/5 - 2*d - 8/5.
(d - 4)*(d + 1)*(d + 2)/5
Factor -n**2 + 798*n - 797.
-(n - 797)*(n - 1)
Factor -f**2/8 + 5*f/4 - 2.
-(f - 8)*(f - 2)/8
Solve x**3/5 - 36*x**2/5 + 203*x/5 = 0.
0, 7, 29
Factor -8*i**3 - 43*i**2/3 - 14*i/3 + 5/3.
-(i + 1)**2*(24*i - 5)/3
Let -75*x**5/2 - 303*x**4/8 + 15*x**3/8 + 9*x**2/4 = 0. What is x?
-1, -1/4, 0, 6/25
Solve -2*z**2 - 22*z - 60 = 0.
-6, -5
Solve 2*k**2/5 - 100*k = 0 for k.
0, 250
Solve 2*v**5 - 56*v**4 + 436*v**3 - 520*v**2 - 1014*v = 0 for v.
-1, 0, 3, 13
Factor -2*s**3/11 + 10*s**2/11 + 114*s/11 + 18.
-2*(s - 11)*(s + 3)**2/11
Determine n, given that -n**4/3 + 2*n**3 - 8*n**2/3 - 2*n + 3 = 0.
-1, 1, 3
Factor -36*u**3 - 42*u**2 - 8*u + 8/3.
-2*(3*u + 2)**2*(6*u - 1)/3
Let -2*y**3/13 + 86*y**2/13 - 612*y/13 = 0. Calculate y.
0, 9, 34
Find z such that -2*z**4/15 + 42*z**3/5 - 128*z**2 - 2048*z/15 = 0.
-1, 0, 32
Factor 5*h**5/2 - 15*h**4 + 45*h**3/2 - 10*h**2.
5*h**2*(h - 4)*(h - 1)**2/2
Suppose n**5 - 22*n**4/3 + 35*n**3/3 + 4*n**2/3 - 20*n/3 = 0. Calculate n.
-2/3, 0, 1, 2, 5
Factor -v**3/2 + 63*v**2/2 - 1275*v/2 + 8381/2.
-(v - 29)*(v - 17)**2/2
Find b, given that 35*b**5 + 290*b**4 + 605*b**3 - 130*b**2 - 640*b - 160 = 0.
-4, -1, -2/7, 1
Factor -80*t**3 + 269880*t**2 + 134955*t + 16870.
-5*(t - 3374)*(4*t + 1)**2
Factor 5*v**2/6 + 485*v + 141135/2.
5*(v + 291)**2/6
Factor 15*v**5 - 51*v**4 + 63*v**3 - 33*v**2 + 6*v.
3*v*(v - 1)**3*(5*v - 2)
Determine i, given that 5*i**3 - 100*i**2 - 20*i + 400 = 0.
-2, 2, 20
Let 5*g**4 - 100*g**3 + 655*g**2 - 1520*g + 960 = 0. Calculate g.
1, 3, 8
Factor -4*i**4/3 + 76*i**3/3 + 368*i**2/3.
-4*i**2*(i - 23)*(i + 4)/3
Solve 2*a**2 - 166*a + 164 = 0 for a.
1, 82
Solve 2*r**2/3 - 3700*r/3 + 1711250/3 = 0.
925
Solve 5*l**2 - 121*l/4 + 3/2 = 0.
1/20, 6
Solve 6*d**4 - 49*d**3 + 134*d**2 - 129*d + 18 = 0.
1/6, 2, 3
Solve l**5/5 - l**4 - 3*l**3/5 + 13*l**2/5 + 2*l = 0.
-1, 0, 2, 5
Factor -3*z**2 + 36*z + 255.
-3*(z - 17)*(z + 5)
Factor -2*n**2/7 + 12*n + 86/7.
-2*(n - 43)*(n + 1)/7
Let -2*s**5 - 18*s**4 - 36*s**3 + 8*s**2 + 48*s = 0. What is s?
-6, -2, 0, 1
Determine x, given that x**2/3 - 4*x/3 + 1 = 0.
1, 3
Factor -2*b**2/13 - 16*b/13 + 66/13.
-2*(b - 3)*(b + 11)/13
Solve l**5 - 11*l**4 - 5*l**3 + 127*l**2 + 220*l + 100 = 0 for l.
-2, -1, 5, 10
Suppose -9*l**5 + 141*l**4 - 528*l**3 - 192*l**2 = 0. Calculate l.
-1/3, 0, 8
Find w such that 2*w**5 - 30*w**4 + 126*w**3 - 98*w**2 = 0.
0, 1, 7
Let 2*h**2/5 - 9056*h/5 + 10251392/5 = 0. What is h?
2264
Find j such that 3*j**4 - 36*j**3 - 372*j**2 + 864*j = 0.
-8, 0, 2, 18
Find j, given that 2*j**4/9 + 10*j**3/3 + 44*j**2/3 + 232*j/9 + 16 = 0.
-9, -2
Find i such that 3*i**3 - 126*i**2 + 675*i - 972 = 0.
3, 36
Solve g**3 + 189*g**2 + 375*g + 187 = 0 for g.
-187, -1
Factor 25*p**2 + 10940*p - 4380.
5*(p + 438)*(5*p - 2)
Suppose 324*n**2/5 - 396*n/5 + 121/5 = 0. What is n?
11/18
Let -2*i**3/3 + 14*i**2/3 + 12*i = 0. Calculate i.
-2, 0, 9
Find o such that -4*o**2 - 144*o - 512 = 0.
-32, -4
Factor 3*p**4 + 9*p**3 - 9*p**2 - 33*p - 18.
3*(p - 2)*(p + 1)**2*(p + 3)
Factor -3*u**2 - 33*u + 306.
-3*(u - 6)*(u + 17)
Solve 2*b**2 - 48*b + 288 = 0.
12
Factor -9*k**3/7 - 10*k**2/7.
-k**2*(9*k + 10)/7
Find r, given that -5*r**3 + 145*r**2 - 400*r + 260 = 0.
1, 2, 26
Let -2*x**3/7 - 1322*x**2/7 - 32400*x - 2729376/7 = 0. Calculate x.
-324, -13
Determine q so that q**2/4 + 27*q/4 + 25/2 = 0.
-25, -2
Factor 7*i**2/9 + 37*i/9 + 10/9.
(i + 5)*(7*i + 2)/9
Let s**3 + 116*s**2 + 2989*s - 22326 = 0. Calculate s.
-61, 6
Factor 12*a**3 - 32*a**2 + 16*a.
4*a*(a - 2)*(3*a - 2)
Find g such that g**5 + 8*g**4/3 - 29*g**3/3 - 58*g**2/3 + 28*g + 24 = 0.
-3, -2/3, 2
Find k, given that -3*k**4 + 298*k**3 - 97*k**2 - 198*k = 0.
-2/3, 0, 1, 99
Suppose -2*g**2/3 + 160*g/3 - 3200/3 = 0. Calculate g.
40
Factor -2*x**3 - 12*x**2 - 18*x - 8.
-2*(x + 1)**2*(x + 4)
Find y such that 4*y**2 + 228*y + 1400 = 0.
-50, -7
Factor -2*t**2/3 - 302*t/3 + 304/3.
-2*(t - 1)*(t + 152)/3
Factor -3*m**2 + 2109*m.
-3*m*(m - 703)
Solve u**4/6 - 401*u**3/6 + 200*u**2/3 = 0 for u.
0, 1, 400
Factor 3*u**4 + 165*u**3 + 2025*u**2 + 9375*u + 15000.
3*(u + 5)**3*(u + 40)
Determine w, given that 2*w**4/3 - 10*w**3/3 - 48*w**2 - 96*w = 0.
-4, -3, 0, 12
Factor -3*h**4 + 18*h**3 + 9*h**2 - 60*h + 36.
-3*(h - 6)*(h - 1)**2*(h + 2)
Factor -h**4/7 - 10*h**3/7 - 17*h**2/7 - 8*h/7.
-h*(h + 1)**2*(h + 8)/7
Find o, given that -6*o**5 - 800*o**4 - 1834*o**3 + 8*o**2 + 1048*o = 0.
-131, -2, -1, 0, 2/3
Factor 3*q**3/5 + 3*q**2/5 - 42*q/5 - 72/5.
3*(q - 4)*(q + 2)*(q + 3)/5
Suppose -k**2/2 - 118*k - 6962 = 0. Calculate k.
-118
Let 144*o**3 - 600*o**2 + 97*o - 4 = 0. What is o?
1/12, 4
Solve -2*x**5/5 - 12*x**4/5 + 48*x**3/5 - 52*x**2/5 + 18*x/5 = 0.
-9, 0, 1
Determine a so that 2*a**2/3 - 184*a/3 = 0.
0, 92
Factor 2*h**2/5 - 6*h + 28/5.
2*(h - 14)*(h - 1)/5
Suppose -2*s**2/3 + 16*s/9 - 10/9 = 0. What is s?
1, 5/3
Solve 2*a**3 + 108*a**2 + 1344*a - 3136 = 0.
-28, 2
Find b, given that 5*b**2 - 10*b = 0.
0, 2
Find j such that -j**4 + 3*j**3 + 9*j**2 + 5*j = 0.
-1, 0, 5
Determine d so that -5*d**3 - 720*d**2 - 1425*d - 710 = 0.
-142, -1
Solve -d**2/6 + 4*d/3 + 3/2 = 0.
-1, 9
Determine z, given that 4*z**5 + 80*z**4 + 452*z**3 + 328*z**2 - 1872*z - 2592 = 0.
-9, -2, 2
What is i in -2*i**4 - 28*i**3 + 174*i**2 - 296*i + 152 = 0?
-19, 1, 2
Factor -s**2/5 - 38*s/5 - 37/5.
-(s + 1)*(s + 37)/5
Find v, given that 2*v**3 - 52*v**2 + 280*v + 784 = 0.
-2, 14
Factor -39*u**3 - 54*u**2 + 39*u + 54.
-3*(u - 1)*(u + 1)*(13*u + 18)
Suppose -2*o**2/7 - 16*o/7 - 2 = 0. Calculate o.
-7, -1
Suppose 2*d**2/5 - 206*d/5 - 208/5 = 0. Calculate d.
-1, 104
Factor 3*p**3 - 10548*p**2 - 21105*p - 10554.
3*(p - 3518)*(p + 1)**2
Factor -p**2/4 - 13*p/2.
-p*(p + 26)/4
Suppose h**3/3 + 25*h**2/3 + 41*h + 57 = 0. What is h?
-19, -3
Factor h**3 - 27*h**2 - 28*h.
h*(h - 28)*(h + 1)
Solve -2*f**2/3 + 288*f - 31104 = 0 for f.
216
Solve -5*j**5/3 - 65*j**4/3 - 100*j**3 - 560*j**2/3 - 320*j/3 = 0 for j.
-4, -1, 0
Factor -k**4/5 + 74*k**3/5 - 792*k**2/5 + 608*k - 3968/5.
-(k - 62)*(k - 4)**3/5
Find w, given that -3*w**3 - 3441*w**2 - 20565*w - 30807 = 0.
-1141, -3
Let t**3/4 - 101*t**2/4 + 207*t = 0. What is t?
0, 9, 92
Factor -2*p**3/9 - 2*p**2/9 + 4*p/9.
-2*p*(p - 1)*(p + 2)/9
Determine b, given that -2*b**4/7 + 20*b**3/7 - 34*b**2/7 + 16*b/7 = 0.
0, 1, 8
Factor 3*j**2/5 + 384*j/5 + 12288/5.
3*(j + 64)**2/5
Factor -15*h**2 - 85*h - 50.
-5*(h + 5)*(3*h + 2)
Find f such that -2*f**3/7 + 10*f**2/7 + 12*f/7 = 0.
-1, 0, 6
Factor -2*z**4/19 - 4*z**3/19 + 4*z/19 + 2/19.
-2*(z - 1)*(z + 1)**3/19
Let 4*z**4 - 88*z**3 + 308*z**2 - 368*z + 144 = 0. Calculate z.
1, 2, 18
Factor 5*r**3 + 25*r**2 - 70*r.
5*r*(r - 2)*(r + 7)
Factor -s**4/4 + 5*s**3/4 - s**2/4 - 21*s/4 + 9/2.
-(s - 3)**2*(s - 1)*(s + 2)/4
Factor q**4/2 + 15*q**3/2 + 69*q**2/2 + 65*q/2 - 75.
(q - 1)*(q + 5)**2*(q + 6)/2
Factor 2*a**3 + 20*a**2 + 14*a - 36.
2*(a - 1)*(a + 2)*(a + 9)
Factor g**2/4 - g + 3/4.
(g - 3)*(g - 1)/4
Determine q, given that -q**4/4 + 3*q**3 + 7*q**2/2 - 3*q - 13/4 = 0.
-1, 1, 13
Find k, given that k**2/6 - 32*k/3 + 21/2 = 0.
1, 63
Solve 70*p**5 + 125*p**4 - 75*p**3 - 100*p**2 - 20*p = 0 for p.
-2, -1/2, -2/7, 0, 1
Solve -2*c**4/7 - 32*c**3/7 - 122*c**2/7 - 132*c/7 =