9*k/3 + 4.
-(k - 1)**3*(k + 3)*(k + 4)/3
Let -2*r**3/11 + 18*r**2/11 + 960*r/11 + 5800/11 = 0. Calculate r.
-10, 29
Factor 2*z**2 - 29*z - 15.
(z - 15)*(2*z + 1)
Let -2*f**3/9 + 10*f**2/3 - 76*f/9 + 16/3 = 0. What is f?
1, 2, 12
Find t, given that -525*t**5 + 3830*t**4/3 - 817*t**3 - 304*t**2/3 + 172*t - 16/3 = 0.
-2/5, 2/63, 4/5, 1
What is y in 2*y**3/5 - 72*y**2/5 - 2*y/5 + 72/5 = 0?
-1, 1, 36
Factor -4*h**4 - 192*h**3 - 2300*h**2 + 192*h + 2304.
-4*(h - 1)*(h + 1)*(h + 24)**2
Solve -8*j**5/7 + 2*j**3 + 2*j**2/7 - 6*j/7 - 2/7 = 0 for j.
-1, -1/2, 1
Determine d, given that -5*d**4 - 3065*d**3 - 471240*d**2 - 468180*d = 0.
-306, -1, 0
Factor -5*x**3 + 245*x**2 + 505*x + 255.
-5*(x - 51)*(x + 1)**2
Suppose b**3/10 + 3*b**2/5 - b/10 - 3/5 = 0. What is b?
-6, -1, 1
Find z, given that -8*z**4 + 10*z**3 + 14*z**2 - 4*z = 0.
-1, 0, 1/4, 2
Solve f**2/3 - 14*f/3 + 8 = 0.
2, 12
Factor w**2/3 - 14*w/3 + 11.
(w - 11)*(w - 3)/3
Find m, given that 14*m**3/13 + 66*m**2/13 + 36*m/13 - 16/13 = 0.
-4, -1, 2/7
Factor -4*a**4 - 232*a**3 - 3364*a**2.
-4*a**2*(a + 29)**2
Suppose -8*p**4/5 - 34*p**3/5 + 34*p/5 + 8/5 = 0. Calculate p.
-4, -1, -1/4, 1
Solve -6*h**4/5 - 68*h**3/5 + 126*h**2/5 - 52*h/5 = 0 for h.
-13, 0, 2/3, 1
Suppose h**2 + 154*h + 5929 = 0. Calculate h.
-77
Determine x so that 3*x**3 - 15*x**2 - 138*x - 120 = 0.
-4, -1, 10
Suppose g**2 + 668*g - 2013 = 0. What is g?
-671, 3
Determine g, given that -45*g**3 - 820*g**2 + 7695*g + 1750 = 0.
-25, -2/9, 7
What is y in y**5/2 - 4*y**4 + 6*y**3 = 0?
0, 2, 6
Determine g so that g**2/5 + 4*g + 96/5 = 0.
-12, -8
Factor u**4 + 23*u**3 + 162*u**2 + 360*u.
u*(u + 5)*(u + 6)*(u + 12)
Find l such that 5*l**3 + 300*l**2 - 3500*l = 0.
-70, 0, 10
Factor -5*k**3/4 + 19*k**2/2 + 179*k/4 - 53.
-(k - 1)*(k + 4)*(5*k - 53)/4
Factor 2*t**2/3 + 10*t + 28/3.
2*(t + 1)*(t + 14)/3
Factor -3*g**3/2 + 261*g**2 - 15138*g + 292668.
-3*(g - 58)**3/2
Factor -2*l**2/9 + 40*l/3 - 232/9.
-2*(l - 58)*(l - 2)/9
Determine s so that -192*s**3/5 + 528*s**2/5 - 63*s + 54/5 = 0.
3/8, 2
Factor -r**3/4 - 211*r**2/4 - 2860*r - 8112.
-(r + 3)*(r + 104)**2/4
Factor -n**3 + 11*n**2 - 18*n.
-n*(n - 9)*(n - 2)
Let 4*o**3/5 - 828*o**2/5 + 1644*o/5 - 164 = 0. Calculate o.
1, 205
Determine r, given that 7*r**5/6 + 53*r**4/6 + 137*r**3/6 + 127*r**2/6 - 6 = 0.
-3, -2, -1, 3/7
Factor 2*w**4 + 4*w**3 - 2*w**2 - 4*w.
2*w*(w - 1)*(w + 1)*(w + 2)
Factor -y**4 + 37*y**3 - 366*y**2 - 320*y + 12800.
-(y - 16)**2*(y - 10)*(y + 5)
Suppose 15*s**5/4 + 189*s**4/2 + 552*s**3 - 1203*s**2/2 - 2223*s/4 + 507 = 0. Calculate s.
-13, -1, 4/5, 1
What is d in -9*d**4 + 2*d**3 + 468*d**2 + 760*d - 192 = 0?
-6, -2, 2/9, 8
Let -9*o**4 - 119*o**3 - 314*o**2 - 244*o - 40 = 0. Calculate o.
-10, -2, -1, -2/9
Factor 2*x**5/3 + 14*x**4/3 + 22*x**3/3 + 10*x**2/3.
2*x**2*(x + 1)**2*(x + 5)/3
What is n in 2*n**4 - 286*n**3 + 10644*n**2 - 29960*n + 19600 = 0?
1, 2, 70
Let 2*w**2 + 484*w + 29282 = 0. Calculate w.
-121
Determine f so that -33800*f**3/17 + 10530*f**2/17 - 552*f/17 + 8/17 = 0.
2/65, 1/4
Determine n, given that -4*n**4 + 8*n**3 + 12*n**2 - 32*n + 16 = 0.
-2, 1, 2
Solve -2*n**2/5 - 66*n/5 - 484/5 = 0.
-22, -11
Suppose -r**4 - 5*r**3 + 24*r**2 - 4*r - 32 = 0. Calculate r.
-8, -1, 2
Find m, given that -10*m**5 - 6*m**4 + 14*m**3 + 6*m**2 - 4*m = 0.
-1, 0, 2/5, 1
Solve 5*m**2 - 180 = 0 for m.
-6, 6
Factor -9*c**2 - 159*c + 54.
-3*(c + 18)*(3*c - 1)
Determine h, given that 4*h**4 + 544*h**3 + 4572*h**2 = 0.
-127, -9, 0
Determine a so that -4*a**4 - 35*a**3 + 49*a**2 - 10*a = 0.
-10, 0, 1/4, 1
Find q, given that -4*q**3 - 432*q**2 - 15552*q - 186624 = 0.
-36
Find h such that -3*h**2/2 + 9*h + 24 = 0.
-2, 8
Let 4*w**4 - 152*w**3 + 928*w**2 - 1896*w + 1116 = 0. Calculate w.
1, 3, 31
Determine x, given that -14*x**4 - 115*x**3 - 176*x**2 + 60*x = 0.
-6, -5/2, 0, 2/7
Find g, given that 3*g**4 + 152*g**3 + 4966*g**2/3 - 6840*g + 6075 = 0.
-27, 5/3
Factor b**3 - 36*b**2 + 69*b - 34.
(b - 34)*(b - 1)**2
Solve 16*d**5 - 68*d**4 - 160*d**3 - 52*d**2 + 24*d = 0.
-1, 0, 1/4, 6
Factor -5*z**4/6 - 15*z**3/2 - 50*z**2/3 - 10*z.
-5*z*(z + 1)*(z + 2)*(z + 6)/6
Factor -2*l**2/11 + 1526*l/11 - 1524/11.
-2*(l - 762)*(l - 1)/11
Find d such that 25*d**5/3 + 260*d**4/3 + 25*d**3/3 - 730*d**2/3 + 220*d/3 + 200/3 = 0.
-10, -2, -2/5, 1
Suppose 5*m**5/6 - 35*m**4/6 + 25*m**3/6 + 35*m**2/6 - 5*m = 0. What is m?
-1, 0, 1, 6
Suppose 4*u**5/7 - 44*u**4/7 + 36*u**3/7 + 44*u**2/7 - 40*u/7 = 0. What is u?
-1, 0, 1, 10
Suppose 5*p**2 - 4040*p - 16240 = 0. What is p?
-4, 812
Suppose 4*a**2/7 + 12*a/7 = 0. Calculate a.
-3, 0
Factor -6034338*s**2 + 6948*s - 2.
-2*(1737*s - 1)**2
Factor 3*o**4 - 210*o**3 + 3231*o**2 + 15540*o + 16428.
3*(o - 37)**2*(o + 2)**2
Solve 1156*a**3/9 + 476*a**2/3 + 32*a + 16/9 = 0 for a.
-1, -2/17
Solve 3*a**4/8 - 6603*a**3/8 - 3303*a**2/4 = 0.
-1, 0, 2202
Solve 10*t**5/13 + 174*t**4/13 - 502*t**3/13 + 362*t**2/13 + 36*t/13 - 80/13 = 0.
-20, -2/5, 1
Let -u**5 + 6*u**4 - 10*u**3 + 11*u - 6 = 0. What is u?
-1, 1, 2, 3
Factor -o**2/3 + 212*o/3 - 11236/3.
-(o - 106)**2/3
Suppose -c**4 + 19*c**2 - 6*c - 72 = 0. What is c?
-4, -2, 3
Suppose 2*s**5 + 46*s**4 + 272*s**3 - 296*s**2 - 3712*s + 5632 = 0. Calculate s.
-11, -8, 2
Factor 3*k**4 + 432*k**3.
3*k**3*(k + 144)
Solve c**5/5 + 12*c**4/5 + 2*c**3 - 12*c**2/5 - 11*c/5 = 0 for c.
-11, -1, 0, 1
Factor 3*u**5 - 36*u**4 - 84*u**3 - 6*u**2 + 81*u + 42.
3*(u - 14)*(u - 1)*(u + 1)**3
Factor 2*i**4 + 274*i**3 - 1118*i**2 + 1406*i - 564.
2*(i - 2)*(i - 1)**2*(i + 141)
Factor -a**2/6 - 10*a + 63/2.
-(a - 3)*(a + 63)/6
Determine g so that 16*g**3 - 20*g**2 - 188*g + 48 = 0.
-3, 1/4, 4
Determine i so that -2*i**3/7 - 250*i**2/7 + 292*i/7 + 720 = 0.
-126, -4, 5
Solve -5*l**3 - 10*l**2 + 20*l + 40 = 0 for l.
-2, 2
What is u in -1242*u**3/7 + 834*u**2/7 + 410*u/7 - 2/7 = 0?
-1/3, 1/207, 1
Factor 5*d**2 - 9150*d + 4186125.
5*(d - 915)**2
Solve -2*j**4 + 190*j**3 - 558*j**2 + 554*j - 184 = 0.
1, 92
Factor -2*o**2/3 - 4*o/3 + 16/3.
-2*(o - 2)*(o + 4)/3
Factor 5*z**4 + 860*z**3 + 2545*z**2 + 1690*z.
5*z*(z + 1)*(z + 2)*(z + 169)
Suppose -2*u**4 - 612*u**3 - 57458*u**2 - 1627920*u - 14151200 = 0. What is u?
-133, -20
Find p such that p**2/5 - 101*p/5 + 20 = 0.
1, 100
Find w such that -4*w**3 + 72*w**2 - 116*w - 192 = 0.
-1, 3, 16
Find q such that -50*q**5 + 140*q**4 - 88*q**3 + 16*q**2 = 0.
0, 2/5, 2
Solve -5*z**2 + 60*z - 160 = 0.
4, 8
Suppose -4*m**2 + 148*m + 480 = 0. What is m?
-3, 40
Find o such that 4*o**5/5 - 248*o**4/5 + 4864*o**3/5 - 26112*o**2/5 - 73728*o/5 = 0.
-2, 0, 16, 24
Factor x**3/3 - 58*x**2/3 - 40*x.
x*(x - 60)*(x + 2)/3
Factor l**2 - 36*l - 37.
(l - 37)*(l + 1)
Factor 2*o**2/11 - 40*o/11 - 42/11.
2*(o - 21)*(o + 1)/11
Solve -5*b**2/4 - 25*b/4 - 5 = 0.
-4, -1
Solve -4*i**4 + 12*i**3 + 256*i**2 + 240*i = 0.
-6, -1, 0, 10
Factor 2*i**3/7 + 48*i**2/7 - 162*i/7.
2*i*(i - 3)*(i + 27)/7
Find s, given that 6*s**4/5 - 112*s**3/5 + 558*s**2/5 - 324*s/5 = 0.
0, 2/3, 9
Factor -2*y**5/7 + 16*y**4/7 - 30*y**3/7.
-2*y**3*(y - 5)*(y - 3)/7
Determine z, given that 3*z**5 + 51*z**4 + 192*z**3 + 144*z**2 = 0.
-12, -4, -1, 0
What is r in 2*r**5 - 1044*r**4 + 1036*r**3 + 3136*r**2 - 5214*r + 2084 = 0?
-2, 1, 521
Factor -410758*u**3 - 1002528*u**2 - 815616*u - 221184.
-2*(59*u + 48)**3
Let -4*p**2 - 24*p - 36 = 0. What is p?
-3
Factor 659883*i**3/4 + 1962765*i**2/4 - 12636*i + 81.
3*(i + 3)*(469*i - 6)**2/4
Factor -3*h**4/7 - 927*h**3/7 - 71145*h**2/7 + 72075*h/7.
-3*h*(h - 1)*(h + 155)**2/7
Factor 10*u**2 + 1496*u - 600.
2*(u + 150)*(5*u - 2)
Suppose -y**2/8 + 11*y/8 - 9/4 = 0. What is y?
2, 9
Solve 9*i**5 + 57*i**4 - 46*i**3 - 82*i**2/3 + 5*i + 7/3 = 0.
-7, -1/3, 1/3, 1
Factor b**2 - 96*b + 368.
(b - 92)*(b - 4)
Factor 2*n**4 - 20*n**3 + 18*n**2 + 104*n + 64.
2*(n - 8)*(n - 4)*(n + 1)**2
Let 12*p**2/13 + 22*p/13 = 0. Calculate p.
-11/6, 0
Factor k**4/2 + 3*k**3/2 - 22*k**2 - 24*k + 224.
(k - 4)**2*(k + 4)*(k + 7)/2
Solve -3*o**4 - 60*o**3 - 201*o**2 + 1476*o + 7020 = 0 for o.
-13, -6, 5
Factor -5*x**4/4 + 25*x**3/2 + 375*x**2/4 - 625*x - 3125.
-5*(x - 10)**2*(x + 5)**2/4
Factor n**4/7 - 6*n**3/7 + 9*n**2/7 - 4*n/7.
n*(n - 4)*(n - 1)**2/7
Suppose -c**3/3 - c**2 + 6*c + 40/3 = 0. What is c?
-5, -2, 4
Determine l, given that l**5/7 - l**4 + 5*l**3/7 + l**2 - 6*l/7 =