-3, -2, -1, 0
Factor -4*j**2 - 316*j + 1328.
-4*(j - 4)*(j + 83)
Factor -108*n**3 + 10484*n**2 - 11144*n + 768.
-4*(n - 96)*(n - 1)*(27*n - 2)
Factor -3*k**3 + 12*k**2 - 9*k.
-3*k*(k - 3)*(k - 1)
Factor b**3/4 + 71*b**2/4 + 399*b/4 + 585/4.
(b + 3)**2*(b + 65)/4
Factor 27*k**4/2 - 513*k**3/2 - 1170*k**2 - 1624*k - 736.
(k - 23)*(3*k + 4)**3/2
Find q, given that -q**3 - 29*q**2 + 61*q - 31 = 0.
-31, 1
Find z such that -4*z**4 + 280*z**3 + 628*z**2 - 3784*z + 2880 = 0.
-5, 1, 2, 72
Solve 15*p**5 - 408*p**4 + 2106*p**3 - 3300*p**2 + 1839*p - 252 = 0.
1/5, 1, 4, 21
Factor -21*v**2 + 9339*v/5 + 534/5.
-3*(v - 89)*(35*v + 2)/5
Find r, given that -64*r**4 + 2848*r**3 - 6788*r**2 + 2864*r - 336 = 0.
1/4, 2, 42
Factor 2*p**2 - 4*p + 2.
2*(p - 1)**2
Factor -2*c**3/15 - 22*c**2/15 - 16*c/3 - 32/5.
-2*(c + 3)*(c + 4)**2/15
Suppose -2*p**5/3 + 4*p**4 + 8*p**3 - 176*p**2/3 + 64*p = 0. Calculate p.
-4, 0, 2, 6
Suppose -2*x**2/7 - 2*x - 24/7 = 0. What is x?
-4, -3
Factor 5*w**4 + 90*w**3 + 600*w**2 + 1750*w + 1875.
5*(w + 3)*(w + 5)**3
Factor 4*i**3/9 + 32*i**2/9 - 532*i/9 + 1360/9.
4*(i - 5)*(i - 4)*(i + 17)/9
Find i, given that -5*i**3/3 - 188*i**2/3 - 1729*i/3 + 722/3 = 0.
-19, 2/5
Suppose n**2 + 140*n - 141 = 0. What is n?
-141, 1
Let -3*x**2/2 + 18*x - 105/2 = 0. What is x?
5, 7
Solve 2*k**4/5 - 88*k**3 + 7260*k**2 - 266200*k + 3660250 = 0.
55
Find d, given that 2*d**4/21 - 46*d**3/21 - 14*d**2/3 - 50*d/21 = 0.
-1, 0, 25
Solve 2*j**3/9 + 4*j**2/3 - 8*j/9 - 16/3 = 0 for j.
-6, -2, 2
Let 9*r**4 - 96*r**3 + 286*r**2 - 160*r + 25 = 0. Calculate r.
1/3, 5
Determine z so that -2*z**4/13 - 82*z**3/13 - 80*z**2/13 = 0.
-40, -1, 0
Factor -v**2/2 + 501*v/2.
-v*(v - 501)/2
Solve -i**3/4 - 21*i**2/4 = 0.
-21, 0
Factor -b**3/3 + 19*b**2/3 - 26*b.
-b*(b - 13)*(b - 6)/3
Factor -3*a**5 - 66*a**4 - 414*a**3 - 876*a**2 - 759*a - 234.
-3*(a + 1)**3*(a + 6)*(a + 13)
Find c, given that 3*c**3 + 42*c**2 + 195*c + 300 = 0.
-5, -4
Let -2*i**3 - 8*i**2 + 2*i + 8 = 0. What is i?
-4, -1, 1
Factor -5*d**4 + 4190*d**3 - 881985*d**2 + 1751420*d - 873620.
-5*(d - 418)**2*(d - 1)**2
Factor 55*r**2 + 62435*r + 11350.
5*(r + 1135)*(11*r + 2)
What is m in -8*m**5/3 + 26*m**4/3 - 10*m**3 + 14*m**2/3 - 2*m/3 = 0?
0, 1/4, 1
Determine c, given that -c**2/2 + 10*c + 22 = 0.
-2, 22
Let -5*k**2/3 - 13*k/3 + 2 = 0. What is k?
-3, 2/5
Factor 1029*w**5 - 5733*w**4 + 5649*w**3 + 3153*w**2 + 486*w + 24.
3*(w - 4)*(w - 2)*(7*w + 1)**3
Determine i so that -3*i**4 + 36*i**3 + 225*i**2 - 546*i + 288 = 0.
-6, 1, 16
Suppose u**4/2 - 9*u**3/2 - 13*u**2/2 + 213*u/2 - 180 = 0. What is u?
-5, 3, 8
Determine k so that -4*k**3/3 + 8*k**2/3 + 80*k/3 + 32 = 0.
-2, 6
Let -3*f**2 - 15*f - 12 = 0. What is f?
-4, -1
Factor 2*j**3 + 2*j**2 - 12*j.
2*j*(j - 2)*(j + 3)
Suppose -5*x**2 + 67690*x - 229096805 = 0. What is x?
6769
Factor 65025*u**3 - 5610*u**2 + 121*u.
u*(255*u - 11)**2
Factor -u**4/3 + 16*u**3/3 - 28*u**2/3.
-u**2*(u - 14)*(u - 2)/3
Find x, given that 5*x**3 + 35*x**2 + 30*x = 0.
-6, -1, 0
Factor 2*p**5 + 108*p**4 + 2238*p**3 + 21868*p**2 + 97608*p + 148176.
2*(p + 3)*(p + 9)*(p + 14)**3
Determine n, given that -5*n**2 - 1270*n - 80645 = 0.
-127
Solve -4*k**3/7 + 151*k**2/7 + 194*k/7 + 39/7 = 0 for k.
-1, -1/4, 39
What is q in -q**2/5 + 936*q/5 - 219024/5 = 0?
468
Let -t**2 + 135*t - 266 = 0. Calculate t.
2, 133
Suppose c**2 + 6731*c/4 - 1683/4 = 0. What is c?
-1683, 1/4
Determine d, given that 15*d**4/2 - 39*d**3/2 + 9*d**2 = 0.
0, 3/5, 2
Factor -5*u**2/4 - 725*u/2 - 105125/4.
-5*(u + 145)**2/4
Let -5*w**4 - 415*w**3 + 20*w**2 + 1660*w = 0. What is w?
-83, -2, 0, 2
Let 5*a**3 + 940*a**2 - 3820*a + 3840 = 0. What is a?
-192, 2
Determine y, given that -2*y**5/11 - 38*y**4/11 - 180*y**3/11 + 180*y**2/11 + 162*y + 1458/11 = 0.
-9, -3, -1, 3
Factor -o**5/4 + 21*o**4/2 - 75*o**3 - 722*o**2 - 1632*o - 1152.
-(o - 24)**2*(o + 2)**3/4
Find a such that 3*a**5/8 - 3*a**4/8 - 177*a**3/8 + 339*a**2/8 + 87*a/4 - 42 = 0.
-8, -1, 1, 2, 7
What is m in -m**4 - 6*m**3 - 5*m**2 + 24*m + 36 = 0?
-3, -2, 2
Find n, given that -5*n**2 + 140*n - 735 = 0.
7, 21
Factor 2*i**4 - 28*i**3 - 6*i**2 + 80*i + 56.
2*(i - 14)*(i - 2)*(i + 1)**2
Let -3*l**3 - 60*l**2 - 237*l - 180 = 0. Calculate l.
-15, -4, -1
Let -3*b**4/4 + 27*b**3 + 111*b**2/4 = 0. Calculate b.
-1, 0, 37
Factor 4*h**5/9 - 40*h**4/9 + 64*h**3/9.
4*h**3*(h - 8)*(h - 2)/9
Factor 4*c**4/5 + 44*c**3/5 + 132*c**2/5 + 4*c - 40.
4*(c - 1)*(c + 2)*(c + 5)**2/5
Factor -4*z**3/7 + 176*z**2/7 - 340*z/7 + 24.
-4*(z - 42)*(z - 1)**2/7
What is s in -2*s**3 - 256*s**2/9 - 866*s/9 - 20 = 0?
-9, -5, -2/9
Suppose 14*h**5/15 + 1424*h**4/15 + 11498*h**3/5 - 90052*h**2/15 - 90688*h/15 + 10816/5 = 0. What is h?
-52, -1, 2/7, 3
Factor -4*q**4 + 4*q**2.
-4*q**2*(q - 1)*(q + 1)
Let -2*c**3/11 - 2*c**2 + 120*c/11 = 0. Calculate c.
-15, 0, 4
Find q, given that 2*q**2 - 472*q - 952 = 0.
-2, 238
Solve -14*v**2/23 + 216*v/23 - 90/23 = 0.
3/7, 15
Factor i**2/3 + i + 2/3.
(i + 1)*(i + 2)/3
Solve -2*f**3/3 + 128*f**2/3 - 56*f - 23520 = 0 for f.
-20, 42
Solve -3*r**4 - 18*r**3 - 27*r**2 + 12*r + 36 = 0 for r.
-3, -2, 1
Find h such that -98*h**2/5 + 4088*h - 213160 = 0.
730/7
Let -14*s**2/11 - 74*s/11 - 20/11 = 0. Calculate s.
-5, -2/7
Suppose -a**4/5 - 26*a**3/5 - 237*a**2/5 - 868*a/5 - 196 = 0. What is a?
-10, -7, -2
Suppose 9*d**3/2 + 37*d**2 - 65*d/2 - 9 = 0. What is d?
-9, -2/9, 1
Find p such that 5*p**2 + 45*p + 100 = 0.
-5, -4
Let -s**4/2 + 187*s**3/2 + 6*s**2 - 1130*s + 1496 = 0. What is s?
-4, 2, 187
Factor 5*g**4 + 325*g**3 + 3090*g**2 + 6300*g - 9720.
5*(g - 1)*(g + 6)**2*(g + 54)
Find p such that -p**2 - 22*p = 0.
-22, 0
Factor 4*x**2 + 112*x + 640.
4*(x + 8)*(x + 20)
Solve -4*r**2 - 30200*r - 57002500 = 0.
-3775
Find t such that 6*t**4 + 225*t**3 + 57*t**2 - 2025*t - 999 = 0.
-37, -3, -1/2, 3
Let -4*a**2 + 44*a - 72 = 0. Calculate a.
2, 9
Factor 15*b**3 - 87*b**2 + 57*b + 15.
3*(b - 5)*(b - 1)*(5*b + 1)
What is i in -3362*i**2/7 - 17712*i/7 - 23328/7 = 0?
-108/41
Determine k so that -5*k**5 - 10*k**4 + 15*k**3 = 0.
-3, 0, 1
Factor -5*l**4 + 35*l**3 + 100*l**2 - 660*l - 720.
-5*(l - 6)**2*(l + 1)*(l + 4)
Factor -5*h**3/4 - 29*h**2/4 + 6*h + 27.
-(h - 2)*(h + 6)*(5*h + 9)/4
Suppose u**4/3 - 19*u**3/3 + 10*u**2 + 192*u + 288 = 0. Calculate u.
-3, -2, 12
Factor -4*w**4 - 52*w**3 - 120*w**2 + 16*w + 160.
-4*(w - 1)*(w + 2)**2*(w + 10)
Determine y, given that 4*y**2 + 3808*y - 3812 = 0.
-953, 1
Find y such that 3*y**3/5 + 6*y**2/5 - 27*y/5 - 54/5 = 0.
-3, -2, 3
Factor n**3 - 20*n**2 + 19*n.
n*(n - 19)*(n - 1)
Solve 3*l**4/4 - 9*l**3/2 - 3*l**2/4 + 9*l/2 = 0.
-1, 0, 1, 6
What is q in -15*q**5 - 564*q**4 + 273*q**3 + 1662*q**2 - 1812*q + 456 = 0?
-38, -2, 2/5, 1
Find n such that n**2/3 + 41*n + 122/3 = 0.
-122, -1
Factor 6*n**2/11 - 600*n/11 - 606/11.
6*(n - 101)*(n + 1)/11
Suppose -4*n**3 - 40*n**2 + 948*n - 2376 = 0. Calculate n.
-22, 3, 9
Factor 3*g**2 + 774*g - 777.
3*(g - 1)*(g + 259)
Factor -2*o**4 + 29*o**3 + 47*o**2 + 16*o.
-o*(o - 16)*(o + 1)*(2*o + 1)
Solve -w**2 + 201*w = 0.
0, 201
Factor -2*c**5 + 28*c**4 - 50*c**3 + 24*c**2.
-2*c**2*(c - 12)*(c - 1)**2
What is c in -4*c**4 + 28*c**3 + 36*c**2 - 28*c - 32 = 0?
-1, 1, 8
Factor -5*h**4 + 15*h**3 + 35*h**2 - 75*h - 90.
-5*(h - 3)**2*(h + 1)*(h + 2)
Factor -o**2/5 + 1463*o/5 + 1464/5.
-(o - 1464)*(o + 1)/5
Solve -4*v**4 + 8*v**3 + 48*v**2 - 32*v - 128 = 0 for v.
-2, 2, 4
Factor -2*u**2/5 + 596*u/5 + 240.
-2*(u - 300)*(u + 2)/5
Let p**2/5 + p - 30 = 0. What is p?
-15, 10
Determine j, given that 4*j**3 - 4*j**2 = 0.
0, 1
Factor 2*d**2/9 + 58*d/9 + 56/9.
2*(d + 1)*(d + 28)/9
Factor 78*l**2 + 1557*l/4 - 15/4.
3*(l + 5)*(104*l - 1)/4
Solve -3*u**4 - 1578*u**3 - 204315*u**2 + 842700*u = 0.
-265, 0, 4
Solve -2*d**4 - 18*d**3 - 44*d**2 + 64 = 0 for d.
-4, -2, 1
Factor -4*i**3/7 - 76*i**2/7 - 360*i/7 - 288/7.
-4*(i + 1)*(i + 6)*(i + 12)/7
What is m in 3*m**4/7 - 129*m**2/7 + 18*m = 0?
-7, 0, 1, 6
Factor -3*k**2 + 681*k - 678.
-3*(k - 226)*(k - 1)
What is i in 2*i**3 + 24*i**2 + 22*i = 0?
-11, -1, 0
Factor -5*q**2/6 - 35*q/2 - 45.
-5*(q + 3)*(q + 18)/6
What is w in -w**3/4 + 7*w**2 - 187*w/4 = 0?
0, 11, 17
Determine n so that -2*n**4/5 + 4*n**3/5 + 14*n**2/5 + 8*n/5 = 0.
-1, 0, 4
Factor -5*j**2 + 65*j + 70.
-5*(j - 14)*(j + 1)
Suppose 4*c**3 - 14*c*