/4
What is y in 10125*y**2 + 1800*y + 80 = 0?
-4/45
Factor 2*l**3/5 - 168*l/5 + 64.
2*(l - 8)*(l - 2)*(l + 10)/5
Factor 4*s**3 + 12088*s**2 - 24188*s + 12096.
4*(s - 1)**2*(s + 3024)
Factor 3*q**4 - 27*q**3 + 54*q**2 + 12*q - 72.
3*(q - 6)*(q - 2)**2*(q + 1)
Solve -3*u**5/5 + 51*u**4 - 5289*u**3/5 - 5547*u**2/5 = 0 for u.
-1, 0, 43
Factor -4*r**2/3 + 12*r + 336.
-4*(r - 21)*(r + 12)/3
Let -4*j**3/7 + 96*j**2/7 + 100*j/7 = 0. Calculate j.
-1, 0, 25
Factor -4*l**2/5 + 18*l + 46/5.
-2*(l - 23)*(2*l + 1)/5
Factor m**2/5 - 112*m/5.
m*(m - 112)/5
Let -4*r**5/3 + 18*r**4 + 220*r**3/3 + 296*r**2/3 + 56*r + 34/3 = 0. What is r?
-1, -1/2, 17
Factor -35*m**2/2 - 795*m/2 + 115.
-5*(m + 23)*(7*m - 2)/2
Let 7*q**2/6 - 17*q + 28/3 = 0. Calculate q.
4/7, 14
Determine d, given that -d**3/3 - 152*d**2 - 453*d = 0.
-453, -3, 0
Factor 2*n**4/5 + 22*n**3/5 + 16*n**2 + 96*n/5.
2*n*(n + 3)*(n + 4)**2/5
Factor 14*l**3 + 846*l**2 + 12960*l + 5400.
2*(l + 30)**2*(7*l + 3)
Solve 3*l**2 + 1116*l + 103788 = 0 for l.
-186
Factor 2*l**3/9 - 112*l**2/9 + 440*l/3 + 800.
2*(l - 30)**2*(l + 4)/9
What is n in 2*n**2/13 - 10*n - 552/13 = 0?
-4, 69
Factor -o**4/4 - 13*o**3/4.
-o**3*(o + 13)/4
Factor 20*m**2/3 + 105*m - 425/3.
5*(m + 17)*(4*m - 5)/3
Find w, given that 4*w**4 - 224*w**3 - 468*w**2 + 224*w + 464 = 0.
-2, -1, 1, 58
Factor -t**2/4 - 37*t/4 + 19/2.
-(t - 1)*(t + 38)/4
Let -2*a**3/3 - 20*a**2/3 - 46*a/3 - 28/3 = 0. What is a?
-7, -2, -1
Factor 15*t**4/2 - 35*t**3/2 + 40*t**2/3 - 10*t/3.
5*t*(t - 1)*(3*t - 2)**2/6
Find k, given that 4*k**3 + 40*k**2 = 0.
-10, 0
Factor 2*r**4/9 + 2*r**3/9 - 82*r**2/9 + 74*r/3 - 16.
2*(r - 3)**2*(r - 1)*(r + 8)/9
Suppose -15*s**3 + 85*s**2 + 30*s = 0. What is s?
-1/3, 0, 6
Factor -s**4 - 10*s**3 - 8*s**2 + 10*s + 9.
-(s - 1)*(s + 1)**2*(s + 9)
Suppose 405*o**4 - 1755*o**3 + 2700*o**2 - 1680*o + 320 = 0. What is o?
1/3, 4/3
What is l in -2*l**4/7 + 16*l**2/7 - 32/7 = 0?
-2, 2
Factor 5*k**4 - 1895*k**3 + 3775*k**2 - 1885*k.
5*k*(k - 377)*(k - 1)**2
Factor p**5/8 + 9*p**4/8 - p**3/8 - 9*p**2/8.
p**2*(p - 1)*(p + 1)*(p + 9)/8
Determine j, given that -j**5 + 454*j**4/3 - 23096*j**3/3 + 134800*j**2 - 470000*j/3 - 500000/3 = 0.
-2/3, 2, 50
Suppose -5*r**2/3 + 655*r/3 - 650/3 = 0. What is r?
1, 130
Factor 3*n**3/2 - 15*n**2/2 + 21*n/2 - 9/2.
3*(n - 3)*(n - 1)**2/2
Factor 4*k**3 - 8*k**2 - 16*k + 32.
4*(k - 2)**2*(k + 2)
Find u, given that 3*u**5 + 6*u**4 - 12*u**3 - 6*u**2 + 9*u = 0.
-3, -1, 0, 1
Factor x**4 + 21*x**3 + 39*x**2 + 19*x.
x*(x + 1)**2*(x + 19)
Determine o, given that -o**4/6 - 85*o**3/6 - 55*o**2/2 + 85*o/6 + 83/3 = 0.
-83, -2, -1, 1
What is n in -4*n**5 - 60*n**4 - 236*n**3 - 388*n**2 - 288*n - 80 = 0?
-10, -2, -1
Let r**5/3 + 4*r**4/3 - 35*r**3 + 236*r**2/3 + 848*r/3 - 832 = 0. Calculate r.
-13, -3, 4
Factor -2*q**2/11 - 8692*q/11 - 9443858/11.
-2*(q + 2173)**2/11
Determine g so that 5*g**5 + 15*g**4 - 10*g**3 - 30*g**2 + 5*g + 15 = 0.
-3, -1, 1
Factor -5*h**2 - 1840*h.
-5*h*(h + 368)
Solve s**4 - 6*s**3 + 7*s**2 + 6*s - 8 = 0 for s.
-1, 1, 2, 4
Let -2*o**4/7 - 22*o**3/7 - 16*o**2/7 + 40*o/7 = 0. What is o?
-10, -2, 0, 1
Factor -5*i**4 - 105*i**3 - 475*i**2 - 375*i.
-5*i*(i + 1)*(i + 5)*(i + 15)
Factor s**4 + 3*s**3 - 6*s**2 - 8*s.
s*(s - 2)*(s + 1)*(s + 4)
Factor -3*r**5 + 546*r**4 - 37530*r**3 + 1166400*r**2 - 14488875*r + 24603750.
-3*(r - 45)**4*(r - 2)
Find t, given that t**5/2 + 33*t**4/2 - 20*t**3 - 100*t**2 + 72*t + 136 = 0.
-34, -2, -1, 2
Let -4*j**2 - 8592*j - 4613904 = 0. What is j?
-1074
Factor k**5 + 13*k**4 + 47*k**3 + 23*k**2 - 48*k - 36.
(k - 1)*(k + 1)**2*(k + 6)**2
Determine x so that x**5/5 - 13*x**4 + 1373*x**3/5 - 9979*x**2/5 + 1734*x = 0.
0, 1, 17, 30
Factor -i**2 - 598*i - 89401.
-(i + 299)**2
What is w in 2*w**3/5 - 1464*w**2/5 + 584*w = 0?
0, 2, 730
Solve -2*p**2/9 - 148*p/9 - 154 = 0 for p.
-63, -11
Solve -108*s**4 - 9432*s**3 + 16089*s**2 + 6147*s + 534 = 0.
-89, -1/6, 2
Let 4*p**5 - 528*p**4 + 18452*p**3 - 68104*p**2 + 82944*p - 32768 = 0. What is p?
1, 2, 64
Solve -3*n**5 - 12*n**4 + 3*n**3 + 12*n**2 = 0.
-4, -1, 0, 1
Let 2*b**3 - 9*b**2/2 = 0. Calculate b.
0, 9/4
Factor -p**3/5 - 4*p**2 + 43*p/5 - 22/5.
-(p - 1)**2*(p + 22)/5
Solve y**2/7 + 5346*y/7 + 7144929/7 = 0 for y.
-2673
Factor -2*i**3/11 - 4*i**2/11 + 86*i/11 - 80/11.
-2*(i - 5)*(i - 1)*(i + 8)/11
Let -4*b**2 - 1244*b = 0. Calculate b.
-311, 0
Determine n, given that 2*n**3/11 - 10*n**2 + 1246*n/11 - 4018/11 = 0.
7, 41
Factor 4*h**5 + 28*h**4 + 64*h**3 + 32*h**2 - 64*h - 64.
4*(h - 1)*(h + 2)**4
Factor f**4/3 + 7*f**3/3 + 5*f**2/3 - 7*f/3 - 2.
(f - 1)*(f + 1)**2*(f + 6)/3
Suppose -238521*b**4/7 - 682281*b**3/7 + 98298*b**2/7 - 660*b + 72/7 = 0. Calculate b.
-3, 2/43
What is d in 2*d**5/3 + 11*d**4 + 118*d**3/3 + 41*d**2 + 12*d = 0?
-12, -3, -1, -1/2, 0
Find q, given that -14283*q**3 + 57546*q**2 - 1659*q + 12 = 0.
1/69, 4
Determine n so that -n**2 - 20*n - 75 = 0.
-15, -5
Factor 6*b**5 - 26*b**4 - 58*b**3 + 306*b**2 + 108*b - 864.
2*(b - 3)**3*(b + 2)*(3*b + 8)
Factor -2*h**2 - 10*h - 12.
-2*(h + 2)*(h + 3)
Determine r so that 140*r**3 + 201*r**2 + 88*r + 12 = 0.
-3/4, -2/5, -2/7
Factor -2*s**4/3 + 4*s**3/3 + 16*s**2/3.
-2*s**2*(s - 4)*(s + 2)/3
Suppose 64*m**4 - 7952*m**3 - 5988*m**2 - 1499*m - 125 = 0. What is m?
-1/4, 125
Factor -2*m**2/3 + 140*m/3 + 142/3.
-2*(m - 71)*(m + 1)/3
Let 2*z**2 + 1248*z + 194688 = 0. What is z?
-312
Determine t so that t**5/10 + 7*t**4/5 + 3*t**3 - 4*t**2 - 71*t/10 + 33/5 = 0.
-11, -3, -2, 1
Solve 2*y**5 + 446*y**4/3 + 8356*y**3/3 + 764*y**2 - 8362*y/3 - 2738/3 = 0 for y.
-37, -1, -1/3, 1
Factor -3*z**4 + 21*z**3 - 51*z**2 + 51*z - 18.
-3*(z - 3)*(z - 2)*(z - 1)**2
Factor 2*w**2/5 - 4*w + 10.
2*(w - 5)**2/5
Factor -g**4 - 30*g**3 - 168*g**2 + 430*g - 231.
-(g - 1)**2*(g + 11)*(g + 21)
Factor -q**2 + 5284*q - 6980164.
-(q - 2642)**2
Factor -9*t**2 - 1527*t + 510.
-3*(t + 170)*(3*t - 1)
Suppose -2*a**4/11 - 760*a**3/11 - 71436*a**2/11 + 145160*a/11 - 72962/11 = 0. What is a?
-191, 1
Let 625*x**4/3 + 400*x**3 + 526*x**2/3 - 16*x + 1/3 = 0. What is x?
-1, 1/25
What is v in -v**5/7 + 11*v**4/7 - 30*v**3/7 - 22*v**2/7 + 95*v/7 + 75/7 = 0?
-1, 3, 5
Determine x, given that -196*x**4/3 - 1092*x**3 + 8396*x**2/3 - 732*x + 152/3 = 0.
-19, 1/7, 2
Find m such that -m**3/4 - 9*m**2/2 + 21*m/4 + 19/2 = 0.
-19, -1, 2
What is p in -p**4/2 + 29*p**3/2 + 289*p**2/2 + 259*p/2 = 0?
-7, -1, 0, 37
Factor b**2/2 + 9*b - 19/2.
(b - 1)*(b + 19)/2
Find r such that 3*r**5 - 10*r**4 - 2*r**3 + 16*r**2 - r - 6 = 0.
-1, -2/3, 1, 3
Find g, given that g**3/3 + 31*g**2/3 + 10*g = 0.
-30, -1, 0
Suppose -507*k**3 + 1872*k**2 + 612*k + 48 = 0. What is k?
-2/13, 4
What is i in -2*i**3/5 - 4298*i**2/5 + 8602*i/5 - 4302/5 = 0?
-2151, 1
Factor -2*s**2/5 - 1932*s/5 - 466578/5.
-2*(s + 483)**2/5
Suppose -3*p**3/4 - 7*p**2 - 33*p/4 - 2 = 0. What is p?
-8, -1, -1/3
Factor -n**2/7 + 4*n/7 + 5/7.
-(n - 5)*(n + 1)/7
What is i in -2*i**3/9 + 124*i**2/9 - 224*i/9 - 320/3 = 0?
-2, 4, 60
Factor 3*i**2/2 + 305*i/2 + 101.
(i + 101)*(3*i + 2)/2
Factor -55*s**3 + 270*s**2 - 200*s.
-5*s*(s - 4)*(11*s - 10)
Solve -8*n**4 + 312*n**3/5 + 414*n**2/5 + 32*n + 18/5 = 0 for n.
-1/2, -1/5, 9
Factor -3*j**4 - 135*j**3 + 12*j**2 + 540*j.
-3*j*(j - 2)*(j + 2)*(j + 45)
Let -5*n**3 + 45*n**2 + 5*n - 45 = 0. Calculate n.
-1, 1, 9
What is h in -3*h**3 + 96*h**2 - 93*h = 0?
0, 1, 31
Determine w, given that -2*w**4 - 158*w**3/7 - 464*w**2/7 - 120*w/7 = 0.
-6, -5, -2/7, 0
Suppose b**4/6 + 2*b**3 + 17*b**2/2 + 44*b/3 + 8 = 0. What is b?
-4, -3, -1
Factor 2*a**4/3 + 2*a**3/3 - 2*a**2 - 2*a/3 + 4/3.
2*(a - 1)**2*(a + 1)*(a + 2)/3
Solve -4*k**4 - 24*k**3 + 52*k**2 + 168*k = 0 for k.
-7, -2, 0, 3
What is v in -v**3 - 13*v**2 - 30*v = 0?
-10, -3, 0
Solve 2*l**2/5 - 8432*l/5 = 0 for l.
0, 4216
Find a such that -4*a**5 + 220*a**4 - 744*a**3 - 3592*a**2 - 4052*a - 1428 = 0.
-1, 7, 51
Find s such that 2*s**5/3 - 10*s**4/3 - 238*s**3/3 - 214*s**2/3 + 236*s/3 + 224/3 = 0.
-8, -1, 1, 14
Let -2*h**5/13 - 4*h**4 - 186*h**3/13 - 224*h**2/13 - 88*h/13 = 0. Calculate h.
-22, -2, -1, 0
Factor -2*u**2/11 - 2*u/11.
-2*u*(u + 1)/11
Find r, given that 2*r**3/9 + 140*r**2/9 + 2146*r/9 - 10952/9 = 0.
-37, 4
Factor u**2/3 - 47*u - 286/3.
(u - 143)*(u + 2)/3
Factor 5*o**2 - 2350*o - 4720.
5*(o - 472)*(o + 2)
