 416 = 0.
-2, -1, 1, 4, 13
Factor 3*q**3/5 - 603*q**2/5 + 40401*q/5 - 902289/5.
3*(q - 67)**3/5
Factor -5*a**5 + 220*a**4 - 1185*a**3 + 1710*a**2.
-5*a**2*(a - 38)*(a - 3)**2
Suppose 5*k**4 + 10*k**3 - 200*k**2 + 320*k = 0. What is k?
-8, 0, 2, 4
Factor -3*i**2/8 + 2835*i/8 - 4239/4.
-3*(i - 942)*(i - 3)/8
Let -6*y**5/5 + 154*y**4/5 - 748*y**3/5 + 1416*y**2/5 - 1136*y/5 + 64 = 0. Calculate y.
2/3, 1, 2, 20
Determine b, given that -b**3/2 + 3*b**2/2 - 3*b/2 + 1/2 = 0.
1
Find z such that 28*z**3/5 + 3016*z**2/5 - 864*z/5 = 0.
-108, 0, 2/7
Factor -t**2/3 + 8*t/3 - 4.
-(t - 6)*(t - 2)/3
Suppose -3*u**2 - 843*u - 840 = 0. What is u?
-280, -1
Suppose 2*b**5/5 + 10*b**4 + 334*b**3/5 + 238*b**2/5 - 336*b/5 - 288/5 = 0. What is b?
-12, -1, 1
Solve 2*w**5/15 + 4*w**4/15 - 24*w**3/5 + 176*w**2/15 - 128*w/15 = 0 for w.
-8, 0, 2
Let -d**3/4 + 105*d**2/2 + 213*d + 214 = 0. What is d?
-2, 214
Suppose -k**3/9 + 20*k**2/9 - 37*k/9 + 2 = 0. What is k?
1, 18
Let 3*d**2 + 138*d - 141 = 0. What is d?
-47, 1
Factor 67*p**2/2 + 66*p - 2.
(p + 2)*(67*p - 2)/2
Let -5*m**4 + 20*m**3 + 15*m**2 - 50*m - 40 = 0. What is m?
-1, 2, 4
Factor -2*c**2/15 + 238*c/15 - 232/5.
-2*(c - 116)*(c - 3)/15
Factor -3*p**2/5 - 20862*p/5 - 36268587/5.
-3*(p + 3477)**2/5
Factor 3*r**5 - 57*r**4 + 180*r**3.
3*r**3*(r - 15)*(r - 4)
Factor 3*i**3 - 102*i**2.
3*i**2*(i - 34)
Find o such that -2*o**5 - 634*o**4/3 + 218*o**3/3 + 634*o**2/3 - 212*o/3 = 0.
-106, -1, 0, 1/3, 1
Factor 2*a**3/9 - 52*a**2/9 + 338*a/9.
2*a*(a - 13)**2/9
What is h in 2*h**2/15 + 10*h/3 + 44/5 = 0?
-22, -3
Factor -4*w**2/3 + 77*w/3.
-w*(4*w - 77)/3
Solve 2*r**2/3 + 412*r/3 + 21218/3 = 0.
-103
Determine p, given that -2*p**4 + 8*p**3 - 6*p**2 - 8*p + 8 = 0.
-1, 1, 2
Factor 250*d**4 - 1800*d**3 + 2850*d**2 + 1444*d.
2*d*(5*d - 19)**2*(5*d + 2)
Solve -2*f**4/15 + 2*f**3/15 + 6*f**2/5 - 6*f/5 = 0 for f.
-3, 0, 1, 3
Find t such that -2*t**4/3 - 22*t**3/3 - 22*t**2 - 74*t/3 - 28/3 = 0.
-7, -2, -1
Factor 2*b**2 + 30*b.
2*b*(b + 15)
What is p in -4*p**3 - 464*p**2 - 13908*p - 25992 = 0?
-57, -2
Factor d**3/3 + 2*d**2 - 16*d/3.
d*(d - 2)*(d + 8)/3
Factor 3*g**2/4 + 570*g + 11325/4.
3*(g + 5)*(g + 755)/4
Find u such that 2*u**2/9 - 32*u/9 + 110/9 = 0.
5, 11
Find z such that z**2 + 37*z - 38 = 0.
-38, 1
Find w, given that 2*w**4/11 + 42*w**3/11 - 246*w**2/11 + 358*w/11 - 156/11 = 0.
-26, 1, 3
Determine p so that -2*p**5/7 - 48*p**4/7 + 2*p**3/7 + 48*p**2/7 = 0.
-24, -1, 0, 1
Factor 2*k**4/3 + 7*k**3/3 - 26*k**2/3 + 23*k/3 - 2.
(k - 1)**2*(k + 6)*(2*k - 1)/3
Solve -2*p**3/21 + 62*p**2/21 - 8*p/3 - 40/7 = 0.
-1, 2, 30
Determine g, given that 4*g**5 - 48*g**4 + 128*g**3 + 136*g**2 - 324*g - 280 = 0.
-1, 2, 5, 7
Factor -16*r**3 - 20*r**2 - 4*r.
-4*r*(r + 1)*(4*r + 1)
Factor -3*q**2 + 12.
-3*(q - 2)*(q + 2)
Factor -2*x**2/11 - 994*x/11 + 996/11.
-2*(x - 1)*(x + 498)/11
Suppose 3*s**2/7 + 174*s/7 + 171/7 = 0. Calculate s.
-57, -1
Suppose y**5 - 71*y**3 - 258*y**2 - 308*y - 120 = 0. What is y?
-6, -2, -1, 10
Factor -j**4/2 + j**3 + 7*j**2/2 + 2*j.
-j*(j - 4)*(j + 1)**2/2
Suppose -x**3/5 - 3*x**2 + x/5 + 3 = 0. Calculate x.
-15, -1, 1
Find y such that 3*y**5/2 - 17*y**4/2 - 101*y**3/2 + 89*y**2/2 + 49*y - 36 = 0.
-4, -1, 2/3, 1, 9
Find g, given that -5*g**4 - 35*g**3 + 575*g**2 + 1235*g + 630 = 0.
-14, -1, 9
Factor 12*o**3 - 111*o**2 + 123*o - 24.
3*(o - 8)*(o - 1)*(4*o - 1)
Factor -3*v**2/5 - 396*v/5 - 1536/5.
-3*(v + 4)*(v + 128)/5
What is n in 8*n**4/13 - 10*n**3/13 + 2*n**2/13 = 0?
0, 1/4, 1
Factor 3*a**2 + 17277*a/7 - 4938/7.
3*(a + 823)*(7*a - 2)/7
Suppose b**5/5 + 3*b**4/5 - 4*b**2/5 = 0. Calculate b.
-2, 0, 1
Solve p**5 - 8*p**4 + 24*p**3 - 34*p**2 + 23*p - 6 = 0.
1, 2, 3
Solve -2*y**2/9 + 236*y/9 - 230/3 = 0.
3, 115
Let -243*s**3/5 + 270*s**2 + 636*s/5 + 72/5 = 0. What is s?
-2/9, 6
What is a in -a**3/2 + 355*a**2/2 + 2157*a/2 + 3249/2 = 0?
-3, 361
Find s such that s**4 - 140*s**3 + 3300*s**2 + 112000*s + 640000 = 0.
-10, 80
Solve -3*c**3/7 + 24*c**2/7 - 27*c/7 - 54/7 = 0 for c.
-1, 3, 6
Factor g**2 + 3*g - 10.
(g - 2)*(g + 5)
Factor -3*g**2 + 102*g.
-3*g*(g - 34)
Suppose -2*o**3 - 8*o**2 - 6*o = 0. Calculate o.
-3, -1, 0
Determine o so that -o**4/7 + o**3/7 + 25*o**2/7 - 25*o/7 = 0.
-5, 0, 1, 5
What is a in a**3/8 + 613*a**2/8 - 615*a/4 = 0?
-615, 0, 2
Let -5*o**5 + 100*o**4 = 0. Calculate o.
0, 20
Solve -11*n**2/4 + 1495*n/4 + 34 = 0.
-1/11, 136
Suppose 15*c**4 + 80*c**3 + 115*c**2 + 50*c = 0. What is c?
-10/3, -1, 0
Solve z**2 + 70*z + 325 = 0.
-65, -5
Find y such that -y**3 - 1508*y**2 + 1509*y = 0.
-1509, 0, 1
Let -c**2/7 + 33*c/7 - 32/7 = 0. Calculate c.
1, 32
Solve 2*g**5/7 + 22*g**4/7 + 54*g**3/7 + 50*g**2/7 + 16*g/7 = 0 for g.
-8, -1, 0
Suppose d**5 - 2*d**4 - 14*d**3 - 8*d**2 + 13*d + 10 = 0. What is d?
-2, -1, 1, 5
Suppose 8*r**4/7 + 170*r**3/7 + 70*r**2 + 400*r/7 + 72/7 = 0. Calculate r.
-18, -2, -1, -1/4
Let 2*l**5/9 + 28*l**4/9 - 14*l**3/3 - 1228*l**2/9 + 40*l/9 + 400/3 = 0. What is l?
-10, -1, 1, 6
Solve -3*c**2/5 - 42*c/5 + 528/5 = 0 for c.
-22, 8
What is l in -l**3 - 36*l**2 + 75*l - 38 = 0?
-38, 1
Solve 2*m**4/11 + 104*m**3/11 + 1786*m**2/11 + 11284*m/11 + 16224/11 = 0.
-24, -13, -2
Suppose 2*s**5/3 - 46*s**4 + 2444*s**3/3 - 680*s**2 - 4624*s/3 = 0. Calculate s.
-1, 0, 2, 34
Determine u so that 2*u**3/21 - 6*u**2/7 - 194*u/21 + 10 = 0.
-7, 1, 15
Factor 1331*k**4/6 + 193358*k**3/3 + 35112*k**2 + 19144*k/3 + 1160/3.
(k + 290)*(11*k + 2)**3/6
Factor v**3/4 - 7*v**2/2 + 51*v/4 - 27/2.
(v - 9)*(v - 3)*(v - 2)/4
Factor -m**5 - 8*m**4 - 20*m**3 - 16*m**2.
-m**2*(m + 2)**2*(m + 4)
Find o, given that -o**3/4 + 457*o**2/4 = 0.
0, 457
Factor -5*i**2 + 2990*i + 2995.
-5*(i - 599)*(i + 1)
Suppose 13*c**5 + 149*c**4/3 + 61*c**3/3 - 137*c**2/3 - 100*c/3 - 4 = 0. What is c?
-3, -1, -2/3, -2/13, 1
Let 5*f**5 - 110*f**4 + 90*f**3 + 10340*f**2 - 40535*f - 119790 = 0. What is f?
-9, -2, 11
Determine m so that 2*m**4/21 - 26*m**3/21 + 36*m**2/7 - 184*m/21 + 16/3 = 0.
2, 7
Determine a so that -22*a**3 + 3251*a**2/5 + 1468*a/5 + 12 = 0.
-2/5, -1/22, 30
Factor 4*n**2 + 32*n + 48.
4*(n + 2)*(n + 6)
Let -605*q**3 + 165*q**2 + 380*q + 60 = 0. What is q?
-6/11, -2/11, 1
Factor 3*z**4 - 75*z**3 + 588*z**2 - 1548*z + 1296.
3*(z - 12)*(z - 9)*(z - 2)**2
Factor -2*r**2 + 2840*r - 1008200.
-2*(r - 710)**2
Find z such that -9*z**2/4 - 2643*z/4 - 879/2 = 0.
-293, -2/3
Factor 28*s**5 - 110*s**4 + 160*s**3 - 100*s**2 + 20*s + 2.
2*(s - 1)**4*(14*s + 1)
Factor -4*n**2 - 27312*n - 46621584.
-4*(n + 3414)**2
Factor 2*s**3/3 - 20*s**2/3 - 2*s/3 + 20/3.
2*(s - 10)*(s - 1)*(s + 1)/3
Determine c so that 27*c**4 + 3339*c**3 + 102666*c**2 - 35340*c - 23064 = 0.
-62, -1/3, 2/3
Factor i**2/2 - 8.
(i - 4)*(i + 4)/2
Factor -3*w**2/5 - 1047*w/5 - 1044/5.
-3*(w + 1)*(w + 348)/5
Factor 14*n**4/9 - 136*n**3/9 + 416*n**2/9 - 128*n/3.
2*n*(n - 4)**2*(7*n - 12)/9
Find r such that 5*r**3 - 55*r**2 + 175*r - 125 = 0.
1, 5
Factor -2*w**2 + 46*w + 48.
-2*(w - 24)*(w + 1)
Determine c so that -500*c**4 - 1156900*c**3 + 1388760*c**2 - 555568*c + 74080 = 0.
-2315, 2/5
What is d in 3*d**2/2 - 18*d - 330 = 0?
-10, 22
Let -3*q**4/7 + 54*q**3/7 + 69*q**2/7 - 216*q/7 - 228/7 = 0. Calculate q.
-2, -1, 2, 19
Find l such that 6*l**3/5 + 6*l**2/5 - 12*l/5 = 0.
-2, 0, 1
What is x in -3*x**5 + 54*x**4 - 48*x**3 - 54*x**2 + 51*x = 0?
-1, 0, 1, 17
Let f**5 - 5*f**4 - 33*f**3 - 31*f**2 + 32*f + 36 = 0. Calculate f.
-2, -1, 1, 9
Let 50*l**4 - 620*l**3 + 2042*l**2 - 744*l + 72 = 0. What is l?
1/5, 6
Determine i, given that -9*i**3/2 + 78*i**2 - 51*i/2 = 0.
0, 1/3, 17
Solve -5*b**4 + 60*b**3 + 2625*b**2 + 2420*b - 5100 = 0.
-17, -2, 1, 30
Let -4*n**4 + 48*n**3 - 148*n**2 + 168*n - 64 = 0. What is n?
1, 2, 8
What is y in -y**4/10 + 144*y**3/5 - 15552*y**2/5 + 746496*y/5 - 13436928/5 = 0?
72
Factor 4*n**3 - 728*n**2 + 13360*n - 64800.
4*(n - 162)*(n - 10)**2
Factor 2*t**3/7 - 2*t**2/7 - 2*t/7 + 2/7.
2*(t - 1)**2*(t + 1)/7
Determine g, given that -4*g**2 - 92*g - 360 = 0.
-18, -5
Factor 3*s**2 + 21*s - 54.
3*(s - 2)*(s + 9)
Factor 50*b**3/9 + 20*b**2/9 + 2*b/9.
2*b*(5*b + 1)**2/9
Factor 5*v**3 + 590*v**2 - 595*v.
5*v*(v - 1)*(v + 119)
Factor x**3/10 - 9*x**2/10 - 74*x/5 - 126/5.
(x - 18)*(x + 2)*(x + 7)/10
Factor d**5/6 - 2*d**3/3.
d**3*(d - 2)*(d + 2)/6
Find s, given that 2*s**2/21 + 26*s/2