*2 + 48*i = 0. Calculate i.
-12, -2, -1, 0
Factor 4*l**3 - 28*l - 24.
4*(l - 3)*(l + 1)*(l + 2)
Suppose 50*v**5 - 18610*v**4 + 40688*v**3 + 4496*v**2 - 20704*v - 5920 = 0. Calculate v.
-2/5, 1, 2, 370
Let -2*p**4/11 + 1762*p**3/11 - 516852*p**2/11 + 50305752*p/11 + 50824368/11 = 0. Calculate p.
-1, 294
Find w such that 3*w**4 - 10*w**3 + 12*w**2 - 6*w + 1 = 0.
1/3, 1
Factor -z**2 + 800*z + 801.
-(z - 801)*(z + 1)
Find b, given that -2*b**4 - 4*b**3/5 + 6*b**2 + 32*b/5 + 8/5 = 0.
-1, -2/5, 2
Solve 2*s**3/13 - 66*s**2/13 - 138*s/13 - 70/13 = 0 for s.
-1, 35
Determine n so that -2*n**5/21 - 6*n**4/7 + 44*n**3/21 + 508*n**2/21 - 2*n - 70/3 = 0.
-7, -1, 1, 5
Factor -5*z**3 + 19040*z**2 - 38065*z + 19030.
-5*(z - 3806)*(z - 1)**2
Factor -2*i**4/5 + 38*i**3 - 5494*i**2/5 + 43706*i/5.
-2*i*(i - 41)**2*(i - 13)/5
Suppose 2*r**5 - 13*r**4 + 17*r**3 + 20*r**2 - 28*r - 16 = 0. Calculate r.
-1, -1/2, 2, 4
Factor -g**2/2 - 66*g - 2178.
-(g + 66)**2/2
Suppose -f**5/2 + 27*f**4/2 - 233*f**3/2 + 749*f**2/2 - 195*f - 700 = 0. What is f?
-1, 4, 5, 14
Let -15*z**4/8 - 141*z**3/8 - 207*z**2/4 - 48*z - 12 = 0. Calculate z.
-4, -1, -2/5
Factor 4*k**3 - 148*k**2 - 864*k + 1008.
4*(k - 42)*(k - 1)*(k + 6)
Factor 2*j**4/3 + 88*j**3/3 - 94*j**2/3 - 60*j.
2*j*(j - 2)*(j + 1)*(j + 45)/3
Let -4*d**2 - 9716*d - 9712 = 0. What is d?
-2428, -1
Factor 2*z**2/15 - 6*z/5 + 12/5.
2*(z - 6)*(z - 3)/15
Solve 2*y**4/11 - 4*y**2/11 + 2/11 = 0 for y.
-1, 1
Factor -6*k**2/7 + 258*k/7 + 264/7.
-6*(k - 44)*(k + 1)/7
Find q, given that 15*q**5 + 141*q**4 + 459*q**3 + 567*q**2 + 162*q = 0.
-3, -2/5, 0
Suppose 2*l**2 - 172*l + 3698 = 0. What is l?
43
Determine v so that 5*v**5 - 30*v**4 - 315*v**3 - 540*v**2 = 0.
-3, 0, 12
Determine s, given that 2*s**5/15 - 14*s**4/5 + 8*s**3/3 = 0.
0, 1, 20
Suppose l**4 + 2*l**3 + l**2 = 0. What is l?
-1, 0
Let f**2/7 - 11*f/7 + 30/7 = 0. Calculate f.
5, 6
Let -b**2 - 12*b + 13 = 0. Calculate b.
-13, 1
Factor 2*r**3/17 - 66*r**2/17 + 172*r/17 + 240/17.
2*(r - 30)*(r - 4)*(r + 1)/17
Factor 2*z**2/5 + 144*z + 12960.
2*(z + 180)**2/5
Suppose 4*d**2/7 - 8*d + 96/7 = 0. Calculate d.
2, 12
Find h, given that 2*h**2 - 374*h = 0.
0, 187
Solve -2*x**3/21 + 10*x**2/21 - 2*x/3 + 2/7 = 0.
1, 3
Factor -3*l**5/2 - 9*l**4/2 + 6*l**2.
-3*l**2*(l - 1)*(l + 2)**2/2
Factor -4*k**3 - 220*k**2 - 424*k.
-4*k*(k + 2)*(k + 53)
Solve -8*r**2 + 444*r + 224 = 0.
-1/2, 56
Solve -2*d**3/5 - 44*d**2/5 - 242*d/5 = 0.
-11, 0
Suppose -2*j**4/7 + 8*j**3 = 0. Calculate j.
0, 28
What is s in -15*s**5/7 + 51*s**4/7 - 18*s**3/7 - 60*s**2/7 + 24*s/7 = 0?
-1, 0, 2/5, 2
Factor o**3/3 + 5*o**2/3.
o**2*(o + 5)/3
Determine g so that 3*g**4/5 - 21*g**3 + 102*g**2/5 = 0.
0, 1, 34
Find b such that 4*b**4 - 4*b**3 - 20*b**2 - 12*b = 0.
-1, 0, 3
Find w, given that -4*w**4/7 - 68*w**3/7 - 28*w**2 + 228*w/7 + 936/7 = 0.
-13, -3, 2
Solve 24*v**4 + 78*v**3 - 105*v**2 - 123*v + 36 = 0.
-4, -1, 1/4, 3/2
Suppose -3*m**3/2 + 213*m**2/2 - 1836*m - 1944 = 0. Calculate m.
-1, 36
Suppose s**3/3 - 3*s**2/2 + 7*s/6 + 1 = 0. Calculate s.
-1/2, 2, 3
Solve n**4/7 + n**3/7 - 10*n**2/7 + 8*n/7 = 0.
-4, 0, 1, 2
Factor -2*j**3 - 12*j**2 - 10*j.
-2*j*(j + 1)*(j + 5)
Determine k so that -10*k**5/11 + 34*k**4/11 - 18*k**3/11 - 34*k**2/11 + 28*k/11 = 0.
-1, 0, 1, 7/5, 2
Find a such that -30*a**2 + 502*a - 780 = 0.
26/15, 15
Factor -5*q**4 - 240*q**3 + 255*q**2 + 490*q.
-5*q*(q - 2)*(q + 1)*(q + 49)
Solve -2*p**4 - 24*p**3 - 42*p**2 - 20*p = 0.
-10, -1, 0
Factor 2*i**2 - 10864*i + 14753312.
2*(i - 2716)**2
Factor -2*v**3/19 - 284*v**2/19 - 11122*v/19 - 71824/19.
-2*(v + 8)*(v + 67)**2/19
Let -2*v**2/9 - 10*v/9 + 16/3 = 0. What is v?
-8, 3
Factor 2*p**4 + 6*p**3 + 4*p**2.
2*p**2*(p + 1)*(p + 2)
Factor -3*v**3/4 + 3*v**2 - 9*v/4.
-3*v*(v - 3)*(v - 1)/4
Suppose -2*t**4/9 + 80*t**3/3 - 1580*t**2/9 - 80*t/3 + 1582/9 = 0. Calculate t.
-1, 1, 7, 113
Suppose -4*p**3 - 1384*p**2 + 8412*p - 12672 = 0. What is p?
-352, 3
Factor -2*l**2 + 30*l.
-2*l*(l - 15)
Factor -4*b**2 + 1296*b - 6380.
-4*(b - 319)*(b - 5)
Factor -o**2 + 176*o + 720.
-(o - 180)*(o + 4)
Factor 2*h**3/3 - 46*h**2/3 - 1520*h/3 - 8600/3.
2*(h - 43)*(h + 10)**2/3
Factor -a**2/6 + 74*a/3 - 145/2.
-(a - 145)*(a - 3)/6
Find n, given that 5*n**2 - 55*n - 630 = 0.
-7, 18
Let 2*i**5/11 + 4*i**4/11 - 72*i**3/11 - 4*i**2/11 + 70*i/11 = 0. What is i?
-7, -1, 0, 1, 5
Find u, given that -22*u**3/5 - 184*u**2/5 + 72*u = 0.
-10, 0, 18/11
Let 22*p**2/17 + 40*p/17 + 18/17 = 0. Calculate p.
-1, -9/11
Let -2*h**5/3 + 2*h**4 + 10*h**3/3 - 10*h**2 - 8*h/3 + 8 = 0. Calculate h.
-2, -1, 1, 2, 3
Factor 2*k**3/13 - 244*k**2/13 + 238*k/13 + 484/13.
2*(k - 121)*(k - 2)*(k + 1)/13
Factor -2*n**4 + 24*n**3 + 26*n**2.
-2*n**2*(n - 13)*(n + 1)
Factor -2*r**4/9 + 2*r**3/9.
-2*r**3*(r - 1)/9
Determine m so that 2*m**3/3 + 68*m**2/3 + 130*m + 108 = 0.
-27, -6, -1
Let 4*m**3 + 324*m**2 + 8748*m + 78732 = 0. What is m?
-27
Find v, given that -2*v**5/7 - 12*v**4/7 + 10*v**3/7 + 12*v**2 - 80*v/7 = 0.
-5, -4, 0, 1, 2
Factor -3*i**3 - 75*i**2 + 2568*i + 2640.
-3*(i - 20)*(i + 1)*(i + 44)
Factor 13*l**3 - 29*l**2 - 4*l + 20.
(l - 2)*(l - 1)*(13*l + 10)
Factor -2*w**4/9 - 770*w**3/9 + 258*w**2 - 2326*w/9 + 776/9.
-2*(w - 1)**3*(w + 388)/9
Suppose -v**2 + 631*v - 630 = 0. Calculate v.
1, 630
What is z in 4*z**4 - 456*z**3 - 464*z**2 + 456*z + 460 = 0?
-1, 1, 115
Find q, given that -2*q**2/3 + 14*q/3 - 8 = 0.
3, 4
Factor w**2/7 - 80*w/7 + 79/7.
(w - 79)*(w - 1)/7
Determine o, given that -4*o**3 - 28*o**2 - 24*o = 0.
-6, -1, 0
Factor -4*r**2 - 2944*r - 2940.
-4*(r + 1)*(r + 735)
What is y in 7*y**4/5 + 2*y**3/5 - 49*y**2/5 - 56*y/5 - 12/5 = 0?
-2, -1, -2/7, 3
What is h in 5*h**5 + 20*h**4 + 25*h**3 + 10*h**2 = 0?
-2, -1, 0
Suppose -16*s**2 - 5772*s - 4320 = 0. What is s?
-360, -3/4
Determine m so that m**4/4 + 19*m**3/4 + 17*m**2/4 - 19*m/4 - 9/2 = 0.
-18, -1, 1
Solve 1014*v**5/19 + 38506*v**4/19 + 36788*v**3/19 + 8600*v**2/19 + 592*v/19 = 0 for v.
-37, -2/3, -2/13, 0
Determine z, given that z**2/2 + 2*z + 3/2 = 0.
-3, -1
Suppose y**2 - 8*y + 12 = 0. What is y?
2, 6
Factor 5*j**3 + 235*j**2 + 880*j + 860.
5*(j + 2)**2*(j + 43)
Let -4*t**3 + 420*t**2 - 1632*t + 1616 = 0. What is t?
2, 101
Factor -2*a**2 + 9204*a - 10589202.
-2*(a - 2301)**2
Solve -242*f**3/3 + 198*f**2 + 126*f + 18 = 0 for f.
-3/11, 3
Factor -q**2 - 123*q + 124.
-(q - 1)*(q + 124)
Find o, given that -2*o**5/7 - 4*o**4/7 + 54*o**3/7 - 216*o/7 = 0.
-6, -2, 0, 3
What is t in t**2/2 - 1150*t + 661250 = 0?
1150
Factor -q**2/7 - 389*q/7 + 390/7.
-(q - 1)*(q + 390)/7
What is d in 4*d**4 + 16*d**3 - 28*d**2 - 40*d = 0?
-5, -1, 0, 2
Factor 4*a**3/7 + 5940*a**2/7 + 315456*a + 314608.
4*(a + 1)*(a + 742)**2/7
Factor n**5 - 41*n**4 - 175*n**3 - 223*n**2 - 90*n.
n*(n - 45)*(n + 1)**2*(n + 2)
Find x, given that -3*x**2 + 18*x - 24 = 0.
2, 4
Suppose 3*t**5/4 + 234*t**4 - 945*t**3/4 - 939*t**2/2 = 0. Calculate t.
-313, -1, 0, 2
Find q, given that q**3/2 - 193*q**2/2 - 389*q/2 - 195/2 = 0.
-1, 195
Find r, given that 10*r**5/9 + 32*r**4/3 - 430*r**3/9 + 52*r**2/3 = 0.
-13, 0, 2/5, 3
Factor -x**2/4.
-x**2/4
Determine k, given that -2*k**5/5 + 48*k**4/5 - 26*k**3/5 - 3276*k**2/5 - 6272*k/5 - 3072/5 = 0.
-6, -1, 16
Factor -12*f**4 - 64*f**3 - 60*f**2 + 72*f.
-4*f*(f + 3)**2*(3*f - 2)
Determine a, given that -3*a**2 - 27*a - 24 = 0.
-8, -1
Find u, given that -3*u**2/8 + 2235*u/4 - 1665075/8 = 0.
745
Suppose -20*y**4 + 68*y**3 + 456*y**2 - 1792*y + 640 = 0. Calculate y.
-5, 2/5, 4
Factor 5*x**2 - 30*x - 135.
5*(x - 9)*(x + 3)
Factor -4*x**4 + 9*x**3 + 25*x**2 + 12*x.
-x*(x - 4)*(x + 1)*(4*x + 3)
Find a such that -10*a**3/3 + 14*a**2/3 - 4*a/3 = 0.
0, 2/5, 1
Determine d, given that d**3 - 262*d**2 - 263*d = 0.
-1, 0, 263
Let -f**5 - 23*f**4 - 160*f**3 - 296*f**2 + 80*f + 400 = 0. What is f?
-10, -2, 1
Factor -f**5 + 10*f**3 - 20*f**2 + 15*f - 4.
-(f - 1)**4*(f + 4)
Solve 12*r**3 - 27*r**2 - 12*r + 27 = 0.
-1, 1, 9/4
Determine x so that -3*x**2/2 - 186*x + 4818 = 0.
-146, 22
Solve d**5/5 - 7*d**4/5 = 0.
0, 7
Factor -14*t**2 - 40*t + 136.
-2*(t - 2)*(7*t + 34)
Factor 33*g**3 - 27*g**2 - 402*g - 72.
3*(g - 4)*(g + 3)*(11*g + 2)
Suppose n**4/2 + 21*n**3/4 + 7*n**2 + 9*n/4 = 0. Calculate n.
-9, -1, -1/2, 0
Determine c so that -c**3/5 - 17*c**2 + 86*c/5 = 0.
-86, 0, 1
What is