434/(-8). Let j = x + 2609/6. Find the common denominator of (-1173)/240 - (-2)/10 and j.
48
Suppose -3*i + 88 = -119. Suppose z + 4*c - i = 0, c - 320 = -4*z - 119. Calculate the common denominator of 31/2 and z.
2
Let k = 1094 - 1034. Calculate the lowest common multiple of 40 and k.
120
What is the smallest common multiple of 297 - (3/4 + (-187)/(-44)) and 2?
292
Let y be 11/(-20)*18 + 0. Let v = 20387 - 407979/20. Let j = y - v. Find the common denominator of j and 121/12.
60
Let y(h) = -h**3 - 10*h**2 - 9*h. Let t be y(-9). Suppose b = 2*q + 54, -4*q + t*q + 76 = 2*b. What is the lowest common multiple of 12 and b?
276
Let f = 81 - 80. What is the smallest common multiple of 0/(-5) + f + 3 and 18?
36
Suppose 0 = 3*m - 66 - 42. Find the common denominator of 4 + ((-741)/m)/13 and ((-2)/2)/22*-13.
132
Let s(g) = -g**3 - 5*g**2 + 11*g + 8. Let d be 68477/7*6/(-7086). Let v = d - 3/1181. Find the common denominator of v and s(-6).
7
Let h = 16239/40 - 405. Calculate the common denominator of -127/72 and h.
360
Let y = 2181/221 + -156/17. What is the common denominator of y and 45/2?
26
What is the common denominator of -35/2 and (2079/90)/(369/5)?
246
Let s(w) = 2*w**2 - 7*w + 3. Let j be (-2)/(-4)*53*18/9. Let r = j - 39. Calculate the smallest common multiple of r and s(5).
126
Let w(r) = r**2 + r + 1. Let i(t) = -t**3 - 2*t**2 + t - 3. Let j(a) = i(a) + 3*w(a). Let y be j(-3). Find the common denominator of (-6)/(-50)*1260/y and 52/3.
30
Let k = -99905/13734 - 8/2289. What is the common denominator of k and 25/42?
126
Suppose -2*y - y + 12 = 0, -5*y = -4*j - 80. What is the lowest common multiple of 6 and -1*(j - -2) - 2?
66
Suppose 0*r - j - 21 = -4*r, -4*j + 21 = 5*r. Suppose -3*v - 1 + 253 = 4*f, 2*f - 152 = r*v. Calculate the smallest common multiple of 20 and f.
660
Let t = -9/1346 + -18437/161520. What is the common denominator of -109/280 and t?
1680
Let h(q) = 17*q - 5. Let p be h(2). Let x = 35 - p. What is the smallest common multiple of 12 and x?
12
Let x = -5/117 + -2047/468. Let v = 227220791/138 + -1646497. Let o = -1272/23 + v. Find the common denominator of x and o.
12
Find the common denominator of 41/33 and -3*((-436)/72 + 5).
66
Let m(f) be the first derivative of -f**4/4 - 7*f**3/3 - 5*f**2/2 + 7*f + 13. What is the lowest common multiple of m(-6) and 7?
7
Suppose -19 = -c - 21. Let l(p) = 20*p**2 - 4*p - 5. Let d be l(c). Suppose 3*b - 117 = -3*i, b = 2*i + 4*b - d. Calculate the least common multiple of 6 and i.
102
Let f be (-1181)/(-65) - 8/20. Let j be 2/(-3) - (-3813)/(-1404)*-3. Let a = f + j. Calculate the common denominator of a and 53/10.
20
Suppose -3*v - 65 = -2. Let y be -9 + 182/21 - (-8)/6. Let h = y - v. Calculate the least common multiple of h and 6.
66
Let d(t) = 2*t. Let o be d(-3). Find the common denominator of (-7)/(-84)*332/o and 31/30.
90
Let g = -12 - -17. Suppose -g*n - 6 = -z, 2*n = -4*z + 5*n + 7. What is the smallest common multiple of 6 and z/(2*(-1)/(-22))?
66
Suppose -27 + 19 = 4*k, 2*z = -5*k + 100. Let g = -23 - -78. What is the least common multiple of g and z?
55
Let f = -190/27 + 12079/1728. Find the common denominator of -51/11 and f.
704
Suppose -5*w - w = -108. Let r = -134 + 140. Calculate the least common multiple of w and r.
18
Suppose 122*l - 46*l = 3040. What is the lowest common multiple of l and 20?
40
Let q(u) = -u + 24. Let g be q(12). Suppose 4*z = -5*a + 12, 4*z = 2*a + 28 + g. Calculate the smallest common multiple of 6/(-4)*z/(-6) and 1.
2
Suppose 4*q = 3*q + 1414. What is the common denominator of -7/6 and q/420 + 1/2?
30
What is the common denominator of 23/3 and 8/84 - 1888/2576?
69
Let y = 21/2 - 25/6. Let c = 51686/15003 + -1/1667. Find the common denominator of c and y.
9
Let d = -95 + 39. Calculate the common denominator of -13/8 and 75/(-4) + d/14.
8
Let s(q) = -q**2 + 11*q + 3. Let i be s(11). What is the lowest common multiple of 48/18*i/4 and 8?
8
Suppose 5*f - 2790 = -5*g - 505, 4*g + 7*f - 1825 = 0. What is the lowest common multiple of 12 and g?
2748
Let q(a) = a**3 + 3*a**2 - 18*a - 3. Let c be q(-6). Let k = c + 8. What is the lowest common multiple of k and 9?
45
Find the common denominator of -61/8 and (-546)/(-216)*3 + 3.
24
Suppose 3*z - 14 = -d, z = -z - d + 10. Let g(s) = -s**3 + 7*s**2 - 4*s - 5. Calculate the smallest common multiple of g(z) and 9.
27
Suppose 0 = 4*d - 0*d - 8. Suppose -5*j = 2*u - 26, -3*u = d*u - 15. Calculate the smallest common multiple of 16/(-12)*(-54)/j and 10.
90
Let c = 8451/760 + -3/152. Find the common denominator of c and -35/12.
60
Let t = -1 - 1. Calculate the common denominator of (18/11)/(t/4) and 1/8 - (-4)/(2720/3111).
110
Suppose 0*a + 16 = 4*a. Let f = a + -2. What is the least common multiple of f/(-1) + 2 + 2 and 6?
6
Suppose 2*t = 5*s + 19, 2 + 3 = s. Calculate the least common multiple of t and 6.
66
Let t(v) = -31*v + 564. Calculate the lowest common multiple of 11 and t(8).
3476
Let h be 18/18 + 2*5. Suppose -61 = -2*x + h. What is the common denominator of -83/12 and (-111)/(-4)*6/x?
24
Let f(s) = s**2 - 18*s + 77. Calculate the smallest common multiple of 16 and f(15).
32
Calculate the common denominator of (-217)/372*(-15)/(-2) and (-2037)/70*(-2)/(-6).
40
Let d(a) = 3*a + 1. Let r be d(1). Suppose 5*g - 113 = 3*n + 358, 5*g = -r*n - 663. What is the common denominator of -2 + 0 + n/156 and -71/20?
260
Let b(z) = 16*z - 46. Let h be b(8). Let v = -76 + h. Calculate the lowest common multiple of v and 9.
18
Find the common denominator of (-89)/(20/(0 + 2)) and 12 + -8 + (-132)/216.
90
Let g = -12961/990 + 118/99. Calculate the common denominator of (-1356)/96 + 4/2 and g.
40
Suppose 3*b + 877 = 3*s - 2*b, -5*s + b = -1469. Let a = -498/17 + 10293/374. What is the common denominator of 1/12*s/(-8) and a?
176
Suppose 3*v - 3*o = v + 6, v + 2*o = 10. Let r = 20 + -10. Suppose -f + 26 = r. Calculate the least common multiple of f and v.
48
Suppose -7843 = -52*z - 7323. Suppose 2*i - 560 = -3*i. What is the lowest common multiple of i and z?
560
Let z(x) be the third derivative of x**5/60 - 17*x**4/24 + x**3 + 16*x**2. Calculate the smallest common multiple of z(17) and 2.
6
Suppose 3*h + 15 = -2*h. Calculate the common denominator of (h/(-4))/((-15)/(-178)) and (2/16)/(11060/848 + -13).
90
Let a(q) = -160*q + 25. Let l be a(-8). Let m = l + -13089/10. Find the common denominator of m and -121/10.
10
Let x be 0*(-2 + (1 - 0)). Suppose 12 = -5*g - v, 14 = -4*g - 3*v - x*v. What is the least common multiple of (-9)/(-6)*g + 5 and 20?
20
Let s be 1 + 3 + -1 + -4*1. Find the common denominator of -4 - (s + 249/(-66)) and 31/26.
286
Let o = 372 - 368. Let p = 2 - -6. Calculate the lowest common multiple of o and p.
8
Suppose -5*c + 3*u = -369, -6 = -6*u + 3*u. What is the least common multiple of c and 15?
75
What is the common denominator of -71/2 and -1 + 8076/(-4072) + 3?
1018
Let x = -26 + 29. Suppose 836 = -x*z - c - c, -2*c + 284 = -z. What is the least common multiple of 8 and ((-3)/(-6))/((-2)/z)?
280
Let b(p) = -4*p - 16. Let j be b(-13). Suppose -3*d - j = -0*u - u, -3*u = 4*d - 69. Let r = u - 18. Calculate the lowest common multiple of 7 and r.
63
Calculate the common denominator of -10 and ((-19)/(-228))/(1/(-10)).
6
Let y be ((-6686)/6)/((-20)/(-15)). Let t = -831 - y. Let n = 1/413 + 26017/826. What is the common denominator of n and t?
4
Let a(f) = f**2 + 34*f + 9. What is the least common multiple of a(-34) and (2/4)/((-2)/(-8))?
18
Find the common denominator of 67/6 and 8/(-180)*-3 - (-908)/(-6960).
348
Let f = 10 - 14. Let c = -3287 + 45995/14. Find the common denominator of c and f/18 - 87/18.
126
Suppose 3*v + 163 = 2*c, 0 = 4*c + v - 236 - 83. What is the common denominator of (-1)/(-3)*((-1548)/c)/(-3) and 71/6?
60
Suppose 0 = -5*c + f + 47, 2*c + 4*f = -f + 8. Suppose 19*r + 21 = 22*r. Calculate the lowest common multiple of r and c.
63
Let w be -2*(2 - 3)*1. Suppose 15 = w*a + 3*o + 47, 0 = -4*a + 3*o - 46. Let p = a + 14. Calculate the least common multiple of 3 and p.
3
Let y(v) = -12*v - 52. What is the smallest common multiple of y(-9) and 96?
672
What is the common denominator of 1 - 2 - (-51)/(-70) and -97/70?
70
Let k = 15621133/856 + -18249. Calculate the common denominat