*2 - 544*r - 289.
-(r - 17)**2*(r + 1)**2
Let 47*o**2 + 44*o - 3 = 0. What is o?
-1, 3/47
Find s, given that -3*s**2 + 54*s = 0.
0, 18
Factor 25*r**3 + 30*r**2 + 5*r.
5*r*(r + 1)*(5*r + 1)
Factor -294*p**4 - 2828*p**3/3 + 1832*p**2/3 - 272*p/3.
-2*p*(7*p - 2)**2*(9*p + 34)/3
Factor 5*w**2 + 260*w + 500.
5*(w + 2)*(w + 50)
Suppose -5*h**3 - 95*h**2 - 390*h = 0. Calculate h.
-13, -6, 0
Determine t so that 2*t**2/17 + 502*t/17 - 504/17 = 0.
-252, 1
Factor 4*i**2 - 448*i + 444.
4*(i - 111)*(i - 1)
Factor -s**2/6 + s/3 + 5/2.
-(s - 5)*(s + 3)/6
Factor 12*j**3 + 8*j**2 - 4*j.
4*j*(j + 1)*(3*j - 1)
Solve -3*p**3 + 3*p**2 + 6*p = 0 for p.
-1, 0, 2
Factor 3*h**3 - 45*h**2 - 156*h - 108.
3*(h - 18)*(h + 1)*(h + 2)
Let -3*t**5 + 9*t**3 + 6*t**2 = 0. What is t?
-1, 0, 2
Factor c**4 + 9*c**3 - c**2 - 9*c.
c*(c - 1)*(c + 1)*(c + 9)
Determine h so that 10*h**3/9 + 106*h**2/9 + 56*h/9 - 40/9 = 0.
-10, -1, 2/5
Solve w**3 - 59*w**2 + 224*w - 220 = 0 for w.
2, 55
Let -2662*f**5/3 + 11616*f**4 - 149402*f**3/3 + 62112*f**2 + 50688*f - 73728 = 0. What is f?
-1, 1, 48/11
Find a such that -237*a**2/5 + 942*a/5 + 24/5 = 0.
-2/79, 4
Factor -3*m**4 - 105*m**3 - 198*m**2.
-3*m**2*(m + 2)*(m + 33)
Find h such that 3*h**5/4 - 3*h**4/4 - 27*h**3/4 - 33*h**2/4 - 3*h = 0.
-1, 0, 4
Suppose -j**3 - j**2 + 64*j + 64 = 0. Calculate j.
-8, -1, 8
Solve -5*b**5 + 40*b**4 - 35*b**3 = 0 for b.
0, 1, 7
Factor f**4 + 137*f**3 - f**2 - 137*f.
f*(f - 1)*(f + 1)*(f + 137)
Let -4*b**2 - 4*b = 0. What is b?
-1, 0
Factor -m**5 + 22*m**4/5 - 38*m**3/5 + 32*m**2/5 - 13*m/5 + 2/5.
-(m - 1)**4*(5*m - 2)/5
Suppose 2*c**2 + 18*c - 44 = 0. Calculate c.
-11, 2
Factor j**2 + 161*j + 780.
(j + 5)*(j + 156)
Let q**5/5 + 8*q**4/5 + 22*q**3/5 + 24*q**2/5 + 9*q/5 = 0. Calculate q.
-3, -1, 0
Determine k so that 4*k**5/7 - 32*k**4/7 - 36*k**3/7 + 304*k**2/7 - 80*k/7 - 384/7 = 0.
-3, -1, 2, 8
Factor 5*a**4 - 70*a**3 + 125*a**2 - 60*a.
5*a*(a - 12)*(a - 1)**2
Determine o, given that 3*o**5/8 + 6*o**4 - 27*o**3/4 - 6*o**2 + 51*o/8 = 0.
-17, -1, 0, 1
Factor z**4/5 + 3*z**3 + 46*z**2/5 - 96*z/5 - 128/5.
(z - 2)*(z + 1)*(z + 8)**2/5
Solve -s**4 + 183*s**3 + 1122*s**2 + 2260*s + 1512 = 0.
-2, 189
Factor -2*b**3 + 36*b**2 + 2*b - 36.
-2*(b - 18)*(b - 1)*(b + 1)
Let -9*x**5/5 - 3*x**4/5 + 243*x**3/5 + 567*x**2/5 + 162*x/5 = 0. Calculate x.
-3, -1/3, 0, 6
Factor -2*b**3 + 72*b**2 - 70*b.
-2*b*(b - 35)*(b - 1)
Solve -h**4/2 + 57*h**3/4 - 133*h**2/2 + 303*h/4 - 23 = 0 for h.
1/2, 1, 4, 23
Factor -5*l**2 - 2825*l + 2830.
-5*(l - 1)*(l + 566)
Find f such that -81*f**5 + 3384*f**4 - 46873*f**3 + 211722*f**2 + 48804*f + 2744 = 0.
-1/9, 14
Solve -8*r**4 + 76*r**3 + 80*r**2 - 400*r = 0 for r.
-5/2, 0, 2, 10
Solve 2*l**3 - 53*l**2/2 + 52*l - 55/2 = 0.
1, 5/4, 11
Find r, given that -4*r**3 + 24*r**2 - 44*r + 24 = 0.
1, 2, 3
Determine m, given that -3*m**3 + 2001*m**2 - 3993*m + 1995 = 0.
1, 665
Factor 4*y**2/3 - 20*y - 136/3.
4*(y - 17)*(y + 2)/3
Suppose 2*v**5 - 34*v**4 - 676*v**3 + 7396*v**2 + 80674*v - 87362 = 0. What is v?
-11, 1, 19
Factor -c**3/2 - 51*c**2/2 + 86*c + 270.
-(c - 5)*(c + 2)*(c + 54)/2
Factor -c**3/2 - 3284*c**2 - 5392328*c.
-c*(c + 3284)**2/2
Factor 5*k**2 - 205*k - 210.
5*(k - 42)*(k + 1)
Let -20*v**5 - 32*v**4 + 36*v**3 + 32*v**2 - 16*v = 0. Calculate v.
-2, -1, 0, 2/5, 1
Find v such that -v**2/3 + 878*v/3 - 877/3 = 0.
1, 877
Factor -2*n**2/3 + 2828*n/3 - 942.
-2*(n - 1413)*(n - 1)/3
Suppose -f**4 - 13*f**3 + 45*f**2 - 47*f + 16 = 0. Calculate f.
-16, 1
Factor -15*t**2 + 475*t - 310.
-5*(t - 31)*(3*t - 2)
Find u, given that u**4/4 - u**3/2 - 37*u**2/4 - 41*u/2 - 12 = 0.
-3, -2, -1, 8
Factor 5*m**2 - 210*m - 1440.
5*(m - 48)*(m + 6)
Solve -2*f**2/9 + 98*f/9 - 340/3 = 0.
15, 34
Suppose 4*z**2 + 244*z + 1512 = 0. What is z?
-54, -7
Solve -3*v**2/8 - 153*v/8 = 0.
-51, 0
Factor -f**5 - 5*f**4 + 17*f**3 + 21*f**2.
-f**2*(f - 3)*(f + 1)*(f + 7)
Solve -2*p**4/7 + 4*p**3 + 66*p**2/7 - 4*p - 64/7 = 0.
-2, -1, 1, 16
Let 33*i**2/5 - 12*i - 12/5 = 0. Calculate i.
-2/11, 2
Let y**3/7 - 744*y**2/7 + 212*y = 0. Calculate y.
0, 2, 742
Factor v**2/4 + 265*v/2 + 70225/4.
(v + 265)**2/4
Factor -2*n**3 + 44*n**2 - 192*n - 576.
-2*(n - 12)**2*(n + 2)
Find f such that 5*f**5 + 100*f**4 + 485*f**3 - 310*f**2 - 1700*f - 1000 = 0.
-10, -1, 2
What is c in c**3/4 - 4589*c**2/4 + 5262435*c/4 + 5267025/4 = 0?
-1, 2295
Let 2*f**4/5 + 26*f**3/5 + 82*f**2/5 + 94*f/5 + 36/5 = 0. What is f?
-9, -2, -1
Factor r**3 - 81*r**2 + 2187*r - 19683.
(r - 27)**3
Find f, given that f**5 + 4*f**4 - 6*f**3 - 4*f**2 + 5*f = 0.
-5, -1, 0, 1
Let 95*p**2/3 - 125*p/3 - 130/3 = 0. What is p?
-13/19, 2
Factor -135*m**5 - 29295*m**4 - 1574550*m**3 + 1594130*m**2 - 533555*m + 59405.
-5*(m + 109)**2*(3*m - 1)**3
Factor 7*a**5 - 127*a**4 + 696*a**3 - 1088*a**2 + 512*a.
a*(a - 8)**2*(a - 1)*(7*a - 8)
Determine o so that 2*o**3/7 + 18*o**2/7 - 128*o/7 + 24 = 0.
-14, 2, 3
Solve 3*c**2 - 1728*c + 248832 = 0 for c.
288
Determine f so that 2*f**4/7 - 6*f**3/7 - 2*f**2/7 + 6*f/7 = 0.
-1, 0, 1, 3
Solve 5*c**5 + 13*c**4 - 19*c**3 - 45*c**2 - 18*c = 0 for c.
-3, -1, -3/5, 0, 2
Factor -15*o**2 - 153*o - 30.
-3*(o + 10)*(5*o + 1)
Factor j**5/2 + 5*j**4 + 33*j**3/2 + 22*j**2 + 10*j.
j*(j + 1)*(j + 2)**2*(j + 5)/2
Factor 5*x**2/6 - 355*x/3 + 25205/6.
5*(x - 71)**2/6
Let -3*j**5 - 54*j**4 + 9*j**3 + 156*j**2 - 108*j = 0. Calculate j.
-18, -2, 0, 1
Suppose 57*b**3 - 12*b**2 = 0. What is b?
0, 4/19
Suppose 22*j**3/7 + 12*j**2 + 72*j/7 - 16/7 = 0. What is j?
-2, 2/11
Determine x, given that -2*x**3/19 - 792*x**2/19 - 104544*x/19 - 4599936/19 = 0.
-132
Factor -4*w**3 - 13636*w**2 + 4*w + 13636.
-4*(w - 1)*(w + 1)*(w + 3409)
Let 3549*s**4/2 + 377*s**3/2 - 5*s**2/2 - s/2 = 0. What is s?
-1/13, 0, 1/21
Factor -4*l**3 - 64*l**2 + 140*l - 72.
-4*(l - 1)**2*(l + 18)
Factor -r**2 - 14*r - 13.
-(r + 1)*(r + 13)
Factor -52*v**5/3 - 68*v**4 - 296*v**3/3 - 184*v**2/3 - 12*v + 4/3.
-4*(v + 1)**4*(13*v - 1)/3
Let -555*j**2/4 - 1390*j - 25 = 0. What is j?
-10, -2/111
Factor 20*g**4 - 205*g**3 + 550*g**2 - 125*g.
5*g*(g - 5)**2*(4*g - 1)
Factor 4*x**2 + 3856*x - 3860.
4*(x - 1)*(x + 965)
Suppose -2*c**5 - 62*c**4 - 610*c**3 - 2002*c**2 - 2028*c = 0. Calculate c.
-13, -3, -2, 0
Factor 2*n**4/11 + 4*n**3/11 - 222*n**2/11 - 224*n/11 + 6272/11.
2*(n - 7)**2*(n + 8)**2/11
Let 4*d**2 + 196*d + 1440 = 0. What is d?
-40, -9
Solve -62*m**2/3 - 1241*m/3 - 20/3 = 0 for m.
-20, -1/62
Solve 4*t**3 - 160*t**2 + 1516*t + 1680 = 0.
-1, 20, 21
Find a such that -3*a**5 + 12*a**4 + 18*a**3 - 108*a**2 + 81*a = 0.
-3, 0, 1, 3
Factor 5*h**2 + 60*h + 55.
5*(h + 1)*(h + 11)
What is c in 3*c**2 - 1050*c + 4152 = 0?
4, 346
Factor -4*m**2 - 44*m - 40.
-4*(m + 1)*(m + 10)
Find l, given that -3*l**2 - 2157*l + 2160 = 0.
-720, 1
Find v, given that -3*v**4/4 - 75*v**3/2 - 621*v**2 - 7125*v/2 - 11913/4 = 0.
-19, -11, -1
Determine l so that l**2 + 51*l - 162 = 0.
-54, 3
Determine n so that -40*n**4 + 15*n**3 = 0.
0, 3/8
Determine y so that -157*y**3 + 1103*y**2/2 - 485*y/2 + 3 = 0.
2/157, 1/2, 3
Find u, given that -4*u**2 + 1936*u - 3856 = 0.
2, 482
Factor g**2 + 8*g + 12.
(g + 2)*(g + 6)
Factor 9*x**2/7 - 1996*x/7 - 444/7.
(x - 222)*(9*x + 2)/7
Factor -3*g**3/2 + 117*g**2/2 - 540*g - 600.
-3*(g - 20)**2*(g + 1)/2
Let o**5 + 66*o**4 + 1366*o**3 + 7896*o**2 - 20159*o + 10830 = 0. What is o?
-30, -19, 1
Let -25*q**4/4 - 205*q**3/2 - 415*q**2 - 150*q = 0. What is q?
-10, -6, -2/5, 0
Determine y, given that -y**4/3 - 20*y**3/3 + 97*y**2/3 + 20*y/3 - 32 = 0.
-24, -1, 1, 4
Determine t, given that -5*t**5 + 1360*t**4 - 89720*t**3 - 375360*t**2 - 380880*t = 0.
-2, 0, 138
Solve 2*a**4/5 - 402*a**3 + 501984*a**2/5 + 1524096*a/5 = 0.
-3, 0, 504
Determine m so that 3*m**2 + 288*m + 6912 = 0.
-48
Factor 23*j**2/2 + 2161*j/2 - 47.
(j + 94)*(23*j - 1)/2
Find i, given that 4*i**2 + 12*i = 0.
-3, 0
Solve -3*a**4 + 120*a**3 - 1776*a**2 + 11520*a - 27648 = 0.
8, 12
What is j in -118*j**4/3 + 476*j**3/3 - 134*j**2/3 - 704*j/3 + 8 = 0?
-1, 2/59, 2, 3
What is m in 2*m**3/5 - 2*m**2 - 148*m/5 - 48 = 0?
-5, -2, 12
Determine a so that -5*a**3 + 40*a**2 - 65*a + 30 = 0.
1, 6
Factor -3*v**2/4 + 45*v/4.
-3*v*(v - 15)/4
Factor -2*v**5 + 164*v**4 + 1790*v**3 + 4600*v**2.
-2*v**2*(v - 92)*(v + 5)**2
Find l, given that -l**5 + 19*l**4 - 80*l**3 - 100*l**2