 2)*(r + 1)*(r + 4)/17
Suppose 3*l**5/2 + 15*l**4/2 - 9*l**3/2 - 123*l**2/2 - 87*l - 36 = 0. Calculate l.
-4, -2, -1, 3
Factor -f**4/7 + 8*f**3 - 23*f**2 + 106*f/7.
-f*(f - 53)*(f - 2)*(f - 1)/7
Find c, given that 2*c**2/13 - 2/13 = 0.
-1, 1
Factor -g**5 + 2*g**4 - 2*g**2 + g.
-g*(g - 1)**3*(g + 1)
Factor -4*g**2 - 30*g.
-2*g*(2*g + 15)
Suppose 4*j**2/5 - 18*j/5 = 0. Calculate j.
0, 9/2
Find z such that 4*z**5 - 64*z**4 - 144*z**3 - 8*z**2 + 140*z + 72 = 0.
-1, 1, 18
Find w, given that 2*w**4/9 + 746*w**3/9 + 742*w**2/3 + 2222*w/9 + 740/9 = 0.
-370, -1
Factor w**5 - 2*w**4 - w**3 + 2*w**2.
w**2*(w - 2)*(w - 1)*(w + 1)
Find c such that -c**2/2 + 25*c/2 + 247 = 0.
-13, 38
Suppose 3*w**2 - 666*w + 36963 = 0. Calculate w.
111
Factor 4*z**2 - 116*z.
4*z*(z - 29)
Factor k**4/8 + 13*k**3/2 - 141*k**2/4 + 45*k/2 + 513/8.
(k - 3)**2*(k + 1)*(k + 57)/8
Suppose -102*b**5/5 - 110*b**4 - 916*b**3/5 - 596*b**2/5 - 134*b/5 - 6/5 = 0. What is b?
-3, -1, -1/3, -1/17
Let 32*b**3 + 12*b**2 - 20*b = 0. What is b?
-1, 0, 5/8
What is l in l**3/2 + 11*l**2/2 + 16*l + 14 = 0?
-7, -2
Determine p so that 2*p**4 - 182*p**3 - 186*p**2 + 182*p + 184 = 0.
-1, 1, 92
Let 2*o**2/7 + 314*o/7 - 328 = 0. What is o?
-164, 7
Determine o, given that o**3 + 16*o**2 + 15*o = 0.
-15, -1, 0
Factor -j**2/6 - 35*j/6 - 62/3.
-(j + 4)*(j + 31)/6
Factor -o**2 + 52*o.
-o*(o - 52)
Factor -y**2 - 7*y + 30.
-(y - 3)*(y + 10)
Factor 3*l**3/8 - 87*l**2/4 + 42*l.
3*l*(l - 56)*(l - 2)/8
Let 2*j**4/5 + 7*j**3/5 - 39*j**2/5 - 36*j/5 + 108/5 = 0. Calculate j.
-6, -2, 3/2, 3
Let y**2 - 13*y = 0. What is y?
0, 13
Factor -5*v**3 - 130*v**2 - 700*v + 1960.
-5*(v - 2)*(v + 14)**2
Determine y, given that 5*y**4 + 20*y**3 - 60*y**2 - 160*y + 320 = 0.
-4, 2
Solve -3*r**2 + 1548*r - 199692 = 0.
258
Determine s, given that 7*s**5/2 - 127*s**4 + 51*s**3/2 + 374*s**2 + 146*s - 72 = 0.
-1, 2/7, 2, 36
Factor -a**4/2 + 3*a**3/2 + 9*a**2/2 - 23*a/2 + 6.
-(a - 4)*(a - 1)**2*(a + 3)/2
Solve -g**4 + 13*g**3 - 34*g**2 - 48*g = 0.
-1, 0, 6, 8
Factor -5*v**4 + 25*v**3 + 30*v**2.
-5*v**2*(v - 6)*(v + 1)
Factor 5*l**2 + 35*l - 40.
5*(l - 1)*(l + 8)
Factor 183*c**2/7 - 372*c/7 + 12/7.
3*(c - 2)*(61*c - 2)/7
Find i, given that 132*i**3 + 9*i**2 - 6*i = 0.
-1/4, 0, 2/11
Factor 2*j**2/17 - 3012*j/17 + 1134018/17.
2*(j - 753)**2/17
Solve 5*y**2 + 190*y - 840 = 0 for y.
-42, 4
Factor -4*x**3 + 60*x**2 + 1152*x + 3888.
-4*(x - 27)*(x + 6)**2
Find q such that q**3/2 + 72*q**2 + 5589*q/2 + 14283 = 0.
-69, -6
Solve -2*q**4/15 + 8*q**3/15 + 2*q**2 - 116*q/15 + 16/3 = 0.
-4, 1, 2, 5
Factor -72*z**2 + 4*z + 16.
-4*(2*z - 1)*(9*z + 4)
What is j in 5*j**4 - 20*j**3 - 300*j**2 + 1440*j = 0?
-8, 0, 6
Find s such that 3*s**2 + 111*s + 210 = 0.
-35, -2
Determine x, given that x**3/6 + 19*x**2/3 - 529*x/6 + 245/3 = 0.
-49, 1, 10
Factor 55*w**2 + 5*w.
5*w*(11*w + 1)
Factor -5*c**3 - 95*c**2 - 90*c.
-5*c*(c + 1)*(c + 18)
Suppose -2*v**4/5 + 6*v**3/5 + 2*v**2/5 - 6*v/5 = 0. What is v?
-1, 0, 1, 3
Find w such that -2*w**4/5 + 4*w**3/5 + 14*w**2/5 - 16*w/5 - 24/5 = 0.
-2, -1, 2, 3
Factor 3*f**2 - 444*f.
3*f*(f - 148)
Solve -2*q**3/7 - 4*q**2 - 48*q/7 = 0.
-12, -2, 0
Factor a**4/2 + a**3/2.
a**3*(a + 1)/2
Factor -c**4/5 - 117*c**3/5 + 118*c**2/5.
-c**2*(c - 1)*(c + 118)/5
What is m in 3*m**3 - 129*m**2 + 582*m - 456 = 0?
1, 4, 38
Find b, given that -2*b**2 + 98*b + 204 = 0.
-2, 51
Suppose -f**5/11 - 15*f**4/11 - 43*f**3/11 + 15*f**2/11 + 4*f = 0. What is f?
-11, -4, -1, 0, 1
Let -3*u**3/5 + 18*u**2/5 - 27*u/5 + 12/5 = 0. Calculate u.
1, 4
Find i such that -i**5 + 6*i**4 + 2*i**3 - 36*i**2 - i + 30 = 0.
-2, -1, 1, 3, 5
Factor -5*k**3/3 - 20*k**2/3 + 4955*k/3 - 4930/3.
-5*(k - 29)*(k - 1)*(k + 34)/3
Solve -3*t**2 - 525*t = 0.
-175, 0
Factor 4*k**4 + 240*k**3 + 232*k**2 - 240*k - 236.
4*(k - 1)*(k + 1)**2*(k + 59)
Let 3*k**4 + 30*k**3 + 24*k**2 - 30*k - 27 = 0. Calculate k.
-9, -1, 1
Find g such that -5*g**5 - 55*g**4 - 210*g**3 - 320*g**2 - 160*g = 0.
-4, -2, -1, 0
Find h such that 5*h**3 - 30*h**2 - 45*h + 70 = 0.
-2, 1, 7
Factor y**2/5 - 3*y + 36/5.
(y - 12)*(y - 3)/5
Solve 9*q**5 - 15*q**4 - 146*q**3 - 34*q**2 + 73*q - 15 = 0 for q.
-3, -1, 1/3, 5
Factor n**4/5 + 8*n**3/5 + n**2 - 10*n.
n*(n - 2)*(n + 5)**2/5
Determine h, given that 4*h**2 + 124*h - 720 = 0.
-36, 5
Factor 5*v**4 - 5*v**3 - 60*v**2.
5*v**2*(v - 4)*(v + 3)
Factor 2*z**4/3 + 80*z**3/3 + 1004*z**2/3 + 1360*z + 1734.
2*(z + 3)**2*(z + 17)**2/3
Factor u**2/2 + 163*u/2.
u*(u + 163)/2
Factor 5*u**5 - 5*u**3.
5*u**3*(u - 1)*(u + 1)
Find z, given that -z**3 + 8*z**2 - 20*z + 16 = 0.
2, 4
Let -30*h**2 + 3*h = 0. Calculate h.
0, 1/10
Find d such that -10*d**4/17 - 4714*d**3/17 - 1874*d**2/17 + 4714*d/17 + 1884/17 = 0.
-471, -1, -2/5, 1
Factor -4*v**2/5 - 624*v/5 + 3888/5.
-4*(v - 6)*(v + 162)/5
Factor -j**3 + 9*j**2 + 48*j + 52.
-(j - 13)*(j + 2)**2
Factor p**4 - 6*p**3 + 13*p**2 - 12*p + 4.
(p - 2)**2*(p - 1)**2
Factor -2*p**3 - 36*p**2 + 38*p.
-2*p*(p - 1)*(p + 19)
Suppose -5*q**4 + 365*q**3 - 9000*q**2 + 77760*q - 69120 = 0. What is q?
1, 24
Factor -2*g**2/9 - 2*g - 4.
-2*(g + 3)*(g + 6)/9
Suppose 3*g**3/2 - 3*g**2 = 0. What is g?
0, 2
Solve p**2/4 + 27*p/4 + 25/2 = 0 for p.
-25, -2
Let 3*c**4/7 - 564*c**3/7 + 1674*c**2/7 - 1668*c/7 + 555/7 = 0. What is c?
1, 185
Factor -2*s**2 - 28*s + 240.
-2*(s - 6)*(s + 20)
Factor -4*w**2/13 - 14*w/13 - 12/13.
-2*(w + 2)*(2*w + 3)/13
Suppose 3*r**5 - 225*r**4 + 4545*r**3 - 12315*r**2 + 11880*r - 3888 = 0. Calculate r.
1, 36
Factor -3*r**4 - 75*r**3 - 198*r**2.
-3*r**2*(r + 3)*(r + 22)
Suppose -10*q**2/3 + 172*q/3 + 114 = 0. Calculate q.
-9/5, 19
Factor f**2/8 - 13*f/8 - 7/4.
(f - 14)*(f + 1)/8
Find w such that 99*w**3 - 70*w**2 - 27*w - 2 = 0.
-2/11, -1/9, 1
Find b such that b**3/2 + 41*b**2/2 - 2*b - 82 = 0.
-41, -2, 2
Factor -2*y**3/9 - 20*y**2/9 - 50*y/9.
-2*y*(y + 5)**2/9
Factor 60*p**2 + 4539*p + 1131.
3*(4*p + 1)*(5*p + 377)
Let 28*k**4 - 344*k**3 + 1244*k**2 - 1168*k + 240 = 0. What is k?
2/7, 1, 5, 6
Factor -2*d**2/3 + 1900*d/3 + 3808/3.
-2*(d - 952)*(d + 2)/3
Find b such that -2*b**5 - 32*b**4 - 30*b**3 = 0.
-15, -1, 0
Factor 2*o**3 + 208*o**2 - 1304*o + 1760.
2*(o - 4)*(o - 2)*(o + 110)
Factor 2*n**2/13 + 244*n/13.
2*n*(n + 122)/13
Find y such that -376*y**3/7 - 50*y**2/7 = 0.
-25/188, 0
Find m, given that m**3/6 + 133*m**2/6 + 260*m/3 + 86 = 0.
-129, -2
Solve r**3/2 + 19*r**2 + 95*r/2 - 175 = 0 for r.
-35, -5, 2
Factor -4*c**2 + 696*c - 14900.
-4*(c - 149)*(c - 25)
Suppose 5*w**5 - 5*w**4 - 45*w**3 + 65*w**2 + 40*w - 60 = 0. What is w?
-3, -1, 1, 2
Factor 2*m**3 + 10*m**2 + 12*m.
2*m*(m + 2)*(m + 3)
Factor 2*o**2/19 - 516*o/19 + 33282/19.
2*(o - 129)**2/19
Determine z so that -5*z**2 - 75*z + 80 = 0.
-16, 1
Find f, given that 4*f**4 + 24*f**3 - 188*f**2 + 336*f - 176 = 0.
-11, 1, 2
Factor 9*j**3 + 15*j**2 + 6*j.
3*j*(j + 1)*(3*j + 2)
Factor 11*p**4/5 + 51*p**3/5 + 46*p**2/5 - 24*p/5.
p*(p + 2)*(p + 3)*(11*p - 4)/5
Factor o**3 - 9*o**2 + 20*o.
o*(o - 5)*(o - 4)
What is b in b**4/4 + 13*b**3/2 + 25*b**2/4 = 0?
-25, -1, 0
Suppose -27*c**3 + 36*c**2 + 1140*c + 2400 = 0. What is c?
-10/3, 8
Solve -2*z**2/3 + 70*z/3 = 0.
0, 35
Find m, given that 3*m**2 - 114*m = 0.
0, 38
Factor 4*a**3/3 + 4*a**2 - 192*a - 3328/3.
4*(a - 13)*(a + 8)**2/3
Let -2*q**3/9 + 10*q**2/9 + 2*q/9 - 10/9 = 0. Calculate q.
-1, 1, 5
Let 2*y**3 - 14*y**2 + 20*y = 0. What is y?
0, 2, 5
Factor -b**5 + 47*b**4 - 210*b**3.
-b**3*(b - 42)*(b - 5)
Let z**3/3 + 125*z**2/3 + 81*z - 123 = 0. What is z?
-123, -3, 1
Determine u so that 2*u**2/7 + 54*u/7 + 52/7 = 0.
-26, -1
Factor -4*w**2/3 - 79744*w/3 - 397444096/3.
-4*(w + 9968)**2/3
Factor -2*t**3/11 + 76*t**2/11 - 896*t/11 + 3072/11.
-2*(t - 16)**2*(t - 6)/11
What is x in -x**2/7 - 164*x/7 - 795/7 = 0?
-159, -5
Determine z, given that 3*z**4 - 942*z**3 + 72999*z**2 + 148836*z + 74892 = 0.
-1, 158
Find w such that -2*w**4 - 37*w**3 + 60*w**2 - w - 20 = 0.
-20, -1/2, 1
Factor -950*n**2 + 160*n - 128/19.
-2*(95*n - 8)**2/19
Find s, given that -s**5/3 - 5*s**4/3 + 7*s**3/3 + 5*s**2/3 - 2*s = 0.
-6, -1, 0, 1
Suppose -8*s**2 + 14*s/3 - 2/3 = 0. What is s?
1/4, 1/3
Factor 34*i**2 - 38*i + 4.
2*(i - 1)*(17*i - 2)
Determine p so that -5*p**5/6 - 35*p**4/6 + 545*p**3/6 + 3635*p**2/6 - 840*p - 1350 = 0.
-9, -1, 2, 10
Suppose -t**4/6 + t**3/2 +