is q?
-135, 3
Factor -5*g**3/4 + 15*g**2/4 - 15*g/4 + 5/4.
-5*(g - 1)**3/4
Suppose -3*b**5 - 36*b**4 - 51*b**3 + 102*b**2 + 108*b - 120 = 0. What is b?
-10, -2, 1
Determine d, given that -3*d**2 - 5049*d + 5052 = 0.
-1684, 1
Determine j, given that 2*j**4 + 24*j**3 + 62*j**2 - 24*j - 64 = 0.
-8, -4, -1, 1
Factor 2*l**2/5 - 2132*l/5 + 568178/5.
2*(l - 533)**2/5
Factor -14*n**2 - 916*n - 390.
-2*(n + 65)*(7*n + 3)
Factor -14*o**3 - 1222*o**2 + 884*o + 352.
-2*(o - 1)*(o + 88)*(7*o + 2)
Factor 2*w**3/9 - 110*w**2/9 - 344*w/9 - 232/9.
2*(w - 58)*(w + 1)*(w + 2)/9
Determine a so that 5*a**3 + 30*a**2 + 45*a = 0.
-3, 0
Factor 4*c**2/3 + 2140*c/3 - 1432.
4*(c - 2)*(c + 537)/3
Find f such that f**2/2 + 1571*f + 2468041/2 = 0.
-1571
Factor b**2/8 + 33*b/8 + 4.
(b + 1)*(b + 32)/8
Let -3*s**2 - 102*s - 867 = 0. What is s?
-17
Let -4*r**3/5 - 636*r**2/5 - 252*r - 628/5 = 0. What is r?
-157, -1
Factor 2*n**2/11 - 170*n/11.
2*n*(n - 85)/11
Let -3*i**4 + 9*i**3 + 66*i**2 - 72*i = 0. Calculate i.
-4, 0, 1, 6
Find u such that -3*u**2 - 60*u + 468 = 0.
-26, 6
Factor 10*y**3 + 915*y**2 - 1405*y - 930.
5*(y - 2)*(y + 93)*(2*y + 1)
What is y in 5*y**2 - 340*y - 345 = 0?
-1, 69
Suppose -2*s**2/19 - 46*s/19 - 44/19 = 0. Calculate s.
-22, -1
Factor -5*u**4 - 980*u**3 - 40670*u**2 + 720300*u - 2701125.
-5*(u - 7)**2*(u + 105)**2
Factor -4*z**3 + 404*z**2.
-4*z**2*(z - 101)
Factor 2*t**4 + 274*t**3 + 1336*t**2 + 2120*t + 1056.
2*(t + 1)*(t + 2)**2*(t + 132)
Factor -6*l**4/7 - 6*l**3/7.
-6*l**3*(l + 1)/7
Suppose 12*x**4 + 72*x**3 - 9*x**2 - 57*x - 18 = 0. What is x?
-6, -1/2, 1
Factor 4*u**2/7 + 2528*u/7 + 2524/7.
4*(u + 1)*(u + 631)/7
Suppose p**2/4 - 3*p/4 - 5/2 = 0. What is p?
-2, 5
Factor -u**2 + 728*u - 1452.
-(u - 726)*(u - 2)
Factor -l**3 - 32*l**2 - 341*l - 1210.
-(l + 10)*(l + 11)**2
Factor 2*k**3/11 - 6*k**2 - 1040*k/11 - 1800/11.
2*(k - 45)*(k + 2)*(k + 10)/11
Find g such that 20*g**5/3 - 760*g**4 + 23795*g**3 - 361285*g**2/3 + 102960*g - 24300 = 0.
1/2, 5, 54
Determine c so that -c**2/2 + 132*c - 8712 = 0.
132
Find n such that -4*n**2 - 42*n + 72 = 0.
-12, 3/2
Let 5*a**4/2 - 11*a**3 + 33*a**2/2 - 10*a + 2 = 0. Calculate a.
2/5, 1, 2
What is a in 6*a**5 + 156*a**4/7 + 78*a**3/7 - 36*a**2/7 = 0?
-3, -1, 0, 2/7
Solve 4*a**2 + 32*a - 512 = 0 for a.
-16, 8
Factor 2*d**5/5 - 6*d**4/5 + 6*d**3/5 - 2*d**2/5.
2*d**2*(d - 1)**3/5
Factor 2*u**2/9 + 2*u/9 - 4/9.
2*(u - 1)*(u + 2)/9
Factor 4*z**2 + 60*z + 144.
4*(z + 3)*(z + 12)
Factor 2*x**2 + 50*x - 108.
2*(x - 2)*(x + 27)
Factor -2*w**2 + 142*w + 144.
-2*(w - 72)*(w + 1)
Determine f so that -3*f**3/7 - 9*f**2/7 + 27*f/7 + 81/7 = 0.
-3, 3
What is w in w**2 + 69*w + 590 = 0?
-59, -10
Factor -82*o**2/3 + 56*o - 8/3.
-2*(o - 2)*(41*o - 2)/3
Factor -4*w**4/7 - 1072*w**3/7 - 70744*w**2/7 + 144720*w/7 - 72900/7.
-4*(w - 1)**2*(w + 135)**2/7
Factor 2*x**5 + 8*x**4 - 16*x**3 - 20*x**2 + 46*x - 20.
2*(x - 1)**3*(x + 2)*(x + 5)
Solve 5*l**4 + 340*l**3 + 5430*l**2 - 11900*l + 6125 = 0 for l.
-35, 1
Factor -5*n**3 + 490*n**2 - 12925*n + 44180.
-5*(n - 47)**2*(n - 4)
Suppose -h**4/4 + 19*h**3/4 - 57*h**2/2 + 65*h - 50 = 0. Calculate h.
2, 5, 10
Let z**4 + 9*z**3 + 30*z**2 + 44*z + 24 = 0. Calculate z.
-3, -2
Factor u**3/2 + 29*u**2 + 841*u/2.
u*(u + 29)**2/2
Factor 5*q**2 - 130*q - 435.
5*(q - 29)*(q + 3)
Find n such that 3*n**4/4 + 120*n**3 + 12879*n**2/2 + 117978*n + 446631/4 = 0.
-53, -1
Find w such that -w**2/11 - 17*w/11 - 6 = 0.
-11, -6
Solve -j**3 - 208*j**2 - 611*j + 820 = 0.
-205, -4, 1
Find w, given that -3*w**4/7 - 9*w**3/7 - 3*w**2/7 + 9*w/7 + 6/7 = 0.
-2, -1, 1
Factor 2*w**3/7 + 30*w**2/7 + 52*w/7.
2*w*(w + 2)*(w + 13)/7
Determine p so that -5*p**4/6 + 5*p**3/3 + 5*p**2/6 - 5*p/3 = 0.
-1, 0, 1, 2
Find w, given that -2*w**4/3 - 16*w**3 - 30*w**2 - 44*w/3 = 0.
-22, -1, 0
Suppose 2*w**2/7 + 4*w - 102/7 = 0. Calculate w.
-17, 3
Factor -3*p**3 - 141*p**2 - 402*p - 264.
-3*(p + 1)*(p + 2)*(p + 44)
Suppose -3*z**3 + 3*z**2 + 51*z + 45 = 0. Calculate z.
-3, -1, 5
Factor f**4/3 - 11*f**3/3 + 31*f**2/3 - 7*f.
f*(f - 7)*(f - 3)*(f - 1)/3
Suppose -2*m**2/7 + 40*m - 552/7 = 0. Calculate m.
2, 138
Determine l, given that -2*l**2/7 - 16*l/7 = 0.
-8, 0
Factor 2*j**4/3 - 4*j**3/3 - 2*j**2 + 8*j/3 + 8/3.
2*(j - 2)**2*(j + 1)**2/3
Solve 2*x**4/5 + 2*x**3 + 18*x**2/5 + 14*x/5 + 4/5 = 0 for x.
-2, -1
Let 8*p**4/9 - 664*p**3/9 + 214*p**2/3 + 1144*p/9 + 328/9 = 0. Calculate p.
-1/2, 2, 82
Factor t**5/10 + 61*t**4/10 + 509*t**3/5 + 1349*t**2/5 + 2581*t/10 + 841/10.
(t + 1)**3*(t + 29)**2/10
Factor 4*k**3 + 256*k**2 + 4340*k + 7688.
4*(k + 2)*(k + 31)**2
Suppose -3*q**2 - 30*q - 63 = 0. Calculate q.
-7, -3
Solve 2*m**3/5 - 492*m**2/5 - 3006*m/5 - 4536/5 = 0 for m.
-3, 252
Let -2*t**5/3 - 282*t**4 - 88186*t**3/3 + 90170*t**2 - 60492*t = 0. What is t?
-213, 0, 1, 2
Let -5*i**4 + 30*i**3 + 75*i**2 + 40*i = 0. Calculate i.
-1, 0, 8
Factor g**2/4 - 175*g + 699/4.
(g - 699)*(g - 1)/4
Find c such that c**4/5 + 11*c**3 = 0.
-55, 0
Factor -2*q**2/5 + 2*q + 72/5.
-2*(q - 9)*(q + 4)/5
Factor -4*l**2 + 176*l + 180.
-4*(l - 45)*(l + 1)
Suppose 32*b**5 - 304*b**4 + 130*b**3 + 124*b**2 + 18*b = 0. Calculate b.
-1/4, 0, 1, 9
Find a, given that -3*a**5 - 18*a**4 - 30*a**3 + 33*a + 18 = 0.
-3, -2, -1, 1
Let -f**2/7 - 2*f/7 + 24/7 = 0. What is f?
-6, 4
Find i, given that -3*i**2/7 - 3468*i/7 - 1002252/7 = 0.
-578
Suppose -c**2/4 + 35*c/4 - 17/2 = 0. What is c?
1, 34
Factor -4*t**2/7 + 96*t/7 - 80.
-4*(t - 14)*(t - 10)/7
Let 3*u**5/7 - 45*u**4/7 + 246*u**3/7 - 594*u**2/7 + 615*u/7 - 225/7 = 0. What is u?
1, 3, 5
Find n, given that n**4/2 + 47*n**3/2 + 45*n**2/2 - 47*n/2 - 23 = 0.
-46, -1, 1
Factor -k**2/6 - 7*k/2 - 19/3.
-(k + 2)*(k + 19)/6
Determine l so that l**3 - 4*l**2 + l + 6 = 0.
-1, 2, 3
What is f in 14*f**5 - 476*f**4 + 24688*f**3/7 + 63776*f**2/7 - 288*f - 5184/7 = 0?
-2, -2/7, 2/7, 18
Suppose -46*k**5 - 366*k**4 - 1088*k**3 - 1424*k**2 - 672*k + 32 = 0. What is k?
-2, 1/23
Suppose -4*s**4 + 48*s**3 + 124*s**2 - 168*s = 0. What is s?
-3, 0, 1, 14
Solve 3*s**2 - 150*s + 1728 = 0 for s.
18, 32
Determine o so that -o**3/6 + 8*o**2/3 + 41*o/2 + 33 = 0.
-3, 22
Suppose -12*f**3 + 16*f**2 + 52*f + 24 = 0. What is f?
-1, -2/3, 3
Factor -8*u**2 - 393*u.
-u*(8*u + 393)
Factor -65*v**4/4 - 131*v**3/4 - 67*v**2/4 - v/4.
-v*(v + 1)**2*(65*v + 1)/4
Suppose -2*a**3/19 - 306*a**2/19 - 15606*a/19 - 265302/19 = 0. Calculate a.
-51
Factor -i**2/6 - 260*i - 101400.
-(i + 780)**2/6
Suppose -4508*r**5 - 4760*r**4 - 219*r**3 + 35*r**2 + 2*r = 0. What is r?
-1, -1/14, 0, 2/23
Factor v**3 + 32*v**2/5 + 51*v/5.
v*(v + 3)*(5*v + 17)/5
Determine x so that x**2/5 - 8*x/5 - 4 = 0.
-2, 10
Factor 10*h**3 + 155*h**2 - 880*h + 400.
5*(h - 4)*(h + 20)*(2*h - 1)
Find c such that -3*c**3 + 120*c**2 - 228*c = 0.
0, 2, 38
What is z in 9*z**4 - 219*z**3 + 72*z**2 = 0?
0, 1/3, 24
Find u, given that -u**4 + 2*u**3 + 21*u**2 - 22*u - 40 = 0.
-4, -1, 2, 5
What is o in 3*o**4 + 27*o**3 + 60*o**2 + 36*o = 0?
-6, -2, -1, 0
Let -5*r**2 + 340*r = 0. What is r?
0, 68
Solve -4*b**2 + 432*b - 428 = 0.
1, 107
Let j**2/6 + 20*j/3 + 200/3 = 0. Calculate j.
-20
Factor u**3/4 - 23*u**2/4 + 30*u + 36.
(u - 12)**2*(u + 1)/4
Factor j**3/2 + 7*j**2/2 - 3*j - 36.
(j - 3)*(j + 4)*(j + 6)/2
Factor 3*b**4/4 + 207*b**3/2 + 14691*b**2/4 + 7038*b + 3468.
3*(b + 1)**2*(b + 68)**2/4
Factor 2*i**2/13 - 42*i/13 + 136/13.
2*(i - 17)*(i - 4)/13
Suppose 2*l**5/3 - 308*l**4/3 + 4054*l**3 - 23408*l**2/3 + 11552*l/3 = 0. What is l?
0, 1, 76
Suppose 2*g**2 - 34*g - 276 = 0. Calculate g.
-6, 23
Determine u so that 2*u**2/13 + 146*u/13 + 144/13 = 0.
-72, -1
Find y, given that -y**4/5 - 22*y**3/5 + y**2/5 + 22*y/5 = 0.
-22, -1, 0, 1
Factor -15*g**2/4 + 125*g + 85.
-5*(g - 34)*(3*g + 2)/4
Factor 2*p**2/11 - 68*p/11 - 304/11.
2*(p - 38)*(p + 4)/11
Determine g so that 5*g**3/2 + 75*g**2/2 + 65*g = 0.
-13, -2, 0
Factor -5*a**3 + 75*a**2 - 70*a.
-5*a*(a - 14)*(a - 1)
Factor 8*z**3/7 - 110*z**2/7 + 52*z + 14.
2*(z - 7)**2*(4*z + 1)/7
Factor 5*y**2 + 60*y + 160.
5*(y + 4)*(y + 8)
Factor c**3/6 - c**2 - 91*c/6.
c*(c - 13)*(c + 7)/6
What is p in 12*p**4 + 516*p**3 + 5283*p**2 - 5676*p + 1452 = 0?
-22, 1/2
Factor -3*q**4 - 48*q**3 - 240*q**2 - 384*q.
-3*q*(q + 4)**2*(q + 8)
Let -d**3 + 383*d**2/7 - 1318*d/7 - 408/7 = 0. Calculate d.
-2/7,