= 0. What is l?
-9, -2, 2
Determine i so that -3*i**2 + 1221*i + 1224 = 0.
-1, 408
Factor p**3/5 - 13*p**2 + 1007*p/5 + 1073/5.
(p - 37)*(p - 29)*(p + 1)/5
Factor -25*n**3 - 35*n**2 + 490*n + 200.
-5*(n - 4)*(n + 5)*(5*n + 2)
Factor 3*k**3/7 + 15*k**2/7 - 51*k/7 - 9.
3*(k - 3)*(k + 1)*(k + 7)/7
Determine z, given that -4*z**2/9 + 560*z/9 + 188/3 = 0.
-1, 141
Factor f**5/3 - 68*f**4/3 + 1342*f**3/3 - 2108*f**2 + 2883*f.
f*(f - 31)**2*(f - 3)**2/3
Suppose 4*z**2 + 5536*z + 1915456 = 0. Calculate z.
-692
Factor o**5 + 5*o**4 - 15*o**3 - 65*o**2 - 70*o - 24.
(o - 4)*(o + 1)**3*(o + 6)
Determine g, given that -g**3 - 13*g**2 + 16*g + 28 = 0.
-14, -1, 2
Solve -k**3/10 - 3*k**2/10 + 9*k/5 = 0 for k.
-6, 0, 3
Factor 3*t**4/4 - 3*t**2/4.
3*t**2*(t - 1)*(t + 1)/4
Find w such that -2*w**2/7 + 80*w/7 - 78/7 = 0.
1, 39
Factor p**3/6 - 61*p**2/6.
p**2*(p - 61)/6
Suppose -125*z**3 + 200*z**2 + 1020*z + 720 = 0. Calculate z.
-6/5, 4
Determine v so that -12*v**5 + 99*v**4 - 276*v**3 + 327*v**2 - 162*v + 24 = 0.
1/4, 1, 2, 4
Determine u so that 3*u**4 - 90*u**3 - 225*u**2 + 1020*u + 1152 = 0.
-4, -1, 3, 32
Factor 2*b**4/9 + 1604*b**3/9 + 107734*b**2/3 + 641600*b/9 + 320000/9.
2*(b + 1)**2*(b + 400)**2/9
Determine a so that 14*a**5 - 200*a**4 + 854*a**3 - 732*a**2 - 1368*a + 432 = 0.
-1, 2/7, 3, 6
Factor -2*h**3/7 + 1934*h**2/7 - 66930*h + 66654.
-2*(h - 483)**2*(h - 1)/7
Determine l, given that -3*l**4/5 - 33*l**3/5 + 768*l**2/5 - 276*l = 0.
-23, 0, 2, 10
Factor -s**5 - 12*s**4 + 14*s**3 + 12*s**2 - 13*s.
-s*(s - 1)**2*(s + 1)*(s + 13)
Determine q, given that q**3 + 212*q**2 + 835*q + 624 = 0.
-208, -3, -1
Factor -60*i**3 - 34*i**2 - 4*i.
-2*i*(5*i + 2)*(6*i + 1)
Factor 2*k**2/7 + 44*k/7 + 6.
2*(k + 1)*(k + 21)/7
Factor d**3 + 254*d**2 + 16380*d + 31752.
(d + 2)*(d + 126)**2
Factor -3*t**5/4 + 117*t**4/4 - 324*t**3 + 729*t**2.
-3*t**2*(t - 18)**2*(t - 3)/4
Suppose 3*z**2 + 93*z + 720 = 0. Calculate z.
-16, -15
Factor o**5 - 4*o**4 + 5*o**3 - 2*o**2.
o**2*(o - 2)*(o - 1)**2
Factor 4*c**3 + 20*c**2 - 128*c + 144.
4*(c - 2)**2*(c + 9)
Factor -x**4/7 + 61*x**3/7 + 338*x**2/7 - 480*x/7 - 3168/7.
-(x - 66)*(x - 3)*(x + 4)**2/7
Factor a**4/6 + 2*a**3/3 - 9*a**2/2 - 9*a + 36.
(a - 3)**2*(a + 4)*(a + 6)/6
Let -2*d**2/7 + 8*d - 104/7 = 0. Calculate d.
2, 26
Determine w, given that 5*w**4 + 10*w**3 - 20*w**2 - 40*w = 0.
-2, 0, 2
Factor -3*x**2 - 57*x + 126.
-3*(x - 2)*(x + 21)
Suppose -2*j**2/11 + 4*j/11 = 0. Calculate j.
0, 2
Determine f, given that -f**5/4 + 13*f**4/2 + 27*f**3/4 = 0.
-1, 0, 27
Find f such that -f**5/2 + f**4/2 + f**3/2 - f**2/2 = 0.
-1, 0, 1
Factor -3*t**4/2 - 33*t**3/2 - 117*t**2/2 - 135*t/2.
-3*t*(t + 3)**2*(t + 5)/2
Let 2*g**5/5 + 12*g**4/5 + 12*g**3/5 - 8*g**2 - 78*g/5 - 36/5 = 0. What is g?
-3, -1, 2
Find g such that g**3/5 - 306*g**2/5 + 31212*g/5 - 1061208/5 = 0.
102
Let -3*w**3 - 72*w**2 - 285*w = 0. What is w?
-19, -5, 0
Suppose 2*b**3 + 706*b**2 - 7210*b + 18150 = 0. What is b?
-363, 5
Suppose -2*o**5/3 - 12*o**4 + 380*o**3/3 - 312*o**2 + 18*o + 468 = 0. Calculate o.
-26, -1, 3
Find y such that y**3 - 426*y**2 + 60492*y - 2863288 = 0.
142
Factor -5*p**5/2 + 1640*p**4 - 267315*p**3 - 539560*p**2 - 541205*p/2.
-5*p*(p - 329)**2*(p + 1)**2/2
Factor -225*w**3 + 140*w**2 - 20*w.
-5*w*(5*w - 2)*(9*w - 2)
Factor 3*h**5/7 + 243*h**4/7 + 2025*h**3/7 + 5913*h**2/7 + 5832*h/7.
3*h*(h + 3)**3*(h + 72)/7
Solve -3*n**3 + 30*n**2 - 48*n = 0 for n.
0, 2, 8
Factor 17*w**2/9 + 185*w/9 - 22/9.
(w + 11)*(17*w - 2)/9
Determine s, given that 231125*s**3 + 8316200*s**2 - 154780*s + 720 = 0.
-36, 2/215
Factor -y**2/8 + 7*y/2 - 27/8.
-(y - 27)*(y - 1)/8
Determine x, given that -2*x**3/3 + 34*x**2 - 100*x/3 = 0.
0, 1, 50
Suppose -2*d**2/11 + 84*d/11 + 86/11 = 0. Calculate d.
-1, 43
Determine m so that m**3/8 - 3*m**2/4 - m/8 + 3/4 = 0.
-1, 1, 6
Factor -4*h**4 + 252*h**3 + 1620*h**2 + 2468*h + 1104.
-4*(h - 69)*(h + 1)**2*(h + 4)
Suppose -x**2 + 30*x + 675 = 0. Calculate x.
-15, 45
Find n, given that n**5/6 - 2*n**4/3 + 2*n**3/3 + n**2/3 - 5*n/6 + 1/3 = 0.
-1, 1, 2
Factor g**4/5 - 49*g**3 - 1263*g**2/5 + 3257*g/5 - 350.
(g - 250)*(g - 1)**2*(g + 7)/5
Solve 30*z**2 - 85*z - 15 = 0.
-1/6, 3
Factor 2*o**2/3 + o/3.
o*(2*o + 1)/3
Let q**3 + 59*q**2 + 840*q - 900 = 0. What is q?
-30, 1
Factor -3*p**5/5 + 9*p**4/5 + 18*p**3/5 - 6*p**2 - 63*p/5 - 27/5.
-3*(p - 3)**2*(p + 1)**3/5
Factor -4*f**2 - 4*f + 224.
-4*(f - 7)*(f + 8)
Determine n, given that -336*n**5 - 6024*n**4 + 483*n**3 + 909*n**2 - 162*n = 0.
-18, -3/7, 0, 1/4
Factor 2*q**2/7 - 1080*q/7 + 145800/7.
2*(q - 270)**2/7
Determine h so that -15*h**4/2 + 133*h**3/2 - 207*h**2/2 - 405*h/2 - 25 = 0.
-1, -2/15, 5
Factor 16*x**3 + 596*x**2 + 148*x.
4*x*(x + 37)*(4*x + 1)
Find p, given that -p**3/4 + 2*p**2 + p/4 - 2 = 0.
-1, 1, 8
Solve -9*n**5/2 + 3*n**4 + 33*n**3 + 6*n**2 - 57*n/2 - 9 = 0 for n.
-2, -1, -1/3, 1, 3
Determine t so that -4*t**4 + 60*t**3 - 252*t**2 + 196*t = 0.
0, 1, 7
Factor -4*d**5 - 8*d**4 + 60*d**3 + 144*d**2.
-4*d**2*(d - 4)*(d + 3)**2
Let -4*d**4 + 28*d**3 + 4*d**2 - 28*d = 0. What is d?
-1, 0, 1, 7
Factor -9*z**2 - 411*z + 138.
-3*(z + 46)*(3*z - 1)
Factor -4*w**3/7 + 848*w**2 - 314608*w.
-4*w*(w - 742)**2/7
Suppose 36*b**2 + 56*b + 20 = 0. What is b?
-1, -5/9
Factor -h**3/3 - 11*h**2 - 21*h - 31/3.
-(h + 1)**2*(h + 31)/3
Factor 3*n**4 + 1512*n**3 + 188991*n**2 - 384054*n.
3*n*(n - 2)*(n + 253)**2
Factor c**3/4 + 13*c**2/4 - 99*c/2.
c*(c - 9)*(c + 22)/4
Factor 5*z**2 - 695*z + 3990.
5*(z - 133)*(z - 6)
Suppose -5*c**3 - 530*c**2 - 10325*c + 208860 = 0. What is c?
-59, 12
Find k, given that 2*k**3/17 + 26*k**2/17 + 20*k/17 - 48/17 = 0.
-12, -2, 1
Suppose -3*x**2/4 - 105*x/2 = 0. Calculate x.
-70, 0
What is s in 20*s**3 + 6328*s**2 - 3812*s - 2536 = 0?
-317, -2/5, 1
Factor -2*a**2 + 8808*a - 9697608.
-2*(a - 2202)**2
Factor 5*w**2 - 1900*w - 1905.
5*(w - 381)*(w + 1)
Solve 2*j**4 - 36*j**3 + 30*j**2 + 68*j = 0.
-1, 0, 2, 17
Find z such that -2*z**2/5 + 14*z/5 - 12/5 = 0.
1, 6
Determine c, given that 27*c**3/2 + 537*c**2/2 + 228*c - 510 = 0.
-170/9, -2, 1
Let 3*n**3/5 - 51*n**2/5 + 48*n - 192/5 = 0. Calculate n.
1, 8
Find q, given that -2*q**2 + 1040*q - 135200 = 0.
260
Solve 5*x**5 - 180*x**4 - 10*x**3 + 360*x**2 + 5*x - 180 = 0.
-1, 1, 36
Find u such that -4*u**2/7 - 5816*u/7 - 2114116/7 = 0.
-727
Suppose -6*u**4/5 - 22*u**3/5 - 4*u**2 = 0. Calculate u.
-2, -5/3, 0
Factor 2*g**3/5 - 12*g**2 - 126*g/5 - 64/5.
2*(g - 32)*(g + 1)**2/5
Find k, given that -2*k**2 - 3974*k - 3972 = 0.
-1986, -1
Factor 2*h**3/15 + 182*h**2/5 + 2538*h + 7290.
2*(h + 3)*(h + 135)**2/15
Determine z so that 6*z**5/11 + 60*z**4/11 + 234*z**3/11 + 444*z**2/11 + 408*z/11 + 144/11 = 0.
-3, -2, -1
Solve 9*s**5/5 - 24*s**4/5 - 159*s**3/5 + 294*s**2/5 - 24*s = 0.
-4, 0, 2/3, 1, 5
Find t such that 2*t**4/11 - 50*t**3/11 + 20*t**2 + 200*t/11 - 912/11 = 0.
-2, 2, 6, 19
Suppose -2*p**3/5 - 32*p**2 - 3354*p/5 - 6084/5 = 0. Calculate p.
-39, -2
Suppose -5*y**2 - 535*y - 530 = 0. Calculate y.
-106, -1
Find c, given that -c**2 - 779*c + 1562 = 0.
-781, 2
Find b such that -b**3/10 - 11*b**2 = 0.
-110, 0
Factor -3*t**4 + 6*t**3 + 9*t**2.
-3*t**2*(t - 3)*(t + 1)
Factor -2*p**2/5 - 28*p/5.
-2*p*(p + 14)/5
Factor 3*k**2 + 25590*k + 54570675.
3*(k + 4265)**2
Let -w**5/4 + 13*w**4/2 - 57*w**3 + 198*w**2 - 216*w = 0. What is w?
0, 2, 6, 12
Factor 2*z**3/17 + 26*z**2/17 - 58*z/17 + 30/17.
2*(z - 1)**2*(z + 15)/17
Solve -2*c**5 - 24*c**4 - 112*c**3 - 252*c**2 - 270*c - 108 = 0.
-3, -2, -1
Factor 2*a**3/3 - 24*a**2 + 160*a - 896/3.
2*(a - 28)*(a - 4)**2/3
Determine c so that -5*c**2 + 770*c - 29645 = 0.
77
Find t, given that -8*t**3/9 + 42*t**2 + 230*t/3 - 196/9 = 0.
-2, 1/4, 49
Find f, given that -2*f**2/5 + 24*f/5 = 0.
0, 12
Solve 4*j**2 - 148*j = 0.
0, 37
Let 2*a**4 - 2*a**3/3 - 14*a**2 + 50*a/3 - 4 = 0. What is a?
-3, 1/3, 1, 2
Factor -2*q**3 + 10*q**2 - 16*q + 8.
-2*(q - 2)**2*(q - 1)
Factor 4*b**4 - 1576*b**3 + 156804*b**2 - 308896*b + 153664.
4*(b - 196)**2*(b - 1)**2
Factor 2*a**3 + 7028*a**2.
2*a**2*(a + 3514)
Determine g, given that 10*g**4 - 72*g**3 - 196*g**2 + 312*g - 54 = 0.
-3, 1/5, 1, 9
Factor 2*q**4 + 12*q**3 - 14*q**2.
2*q**2*(q - 1)*(q + 7)
Determine y so that 22*y**3 - 46*y**2/3 - 20*y/3 = 0.
-10/33, 0, 1
Find r such that -3*r**5/4 -