 -46, 0 = 4*d + 20. Calculate the least common multiple of 22 and z.
132
Let s(q) = q - 5. Let i be s(6). What is the lowest common multiple of 10 and -2 + 1 - -11 - i?
90
Let b = 1/1357 - -23061/10856. Find the common denominator of -5/8 and b.
8
Suppose m - 32 = -2*x - x, 0 = 2*x - 3*m - 14. Calculate the smallest common multiple of 5 and x.
10
Let b(m) = m - 3. Let v be b(5). Find the common denominator of -115/18 and v/5 - 34/(-20).
90
Let k be 3*(-4)/(-6) - 1. Suppose 6*a = 7*a - 14. Calculate the smallest common multiple of -2*((-3)/k - -2) and a.
14
Let u(p) = p**3 - 3*p**2 - 2*p + 1. Let h be u(2). Let q = -3 - h. Suppose -3*m + 103 = g + 4*g, q = 4*m. What is the least common multiple of g and 22?
220
Let v(g) = 7*g**2 + 6 - 2 + g**3 - 2 - 2*g. Let r(a) = a**3 - 5*a**2 + 3*a - 5. What is the smallest common multiple of r(5) and v(-7)?
80
What is the common denominator of 4/(-12) - 1895/(-150) and -9?
10
Suppose 5 = 2*t - 11. What is the lowest common multiple of t and 1?
8
Let s(t) = t**3 + 6*t**2 + 5*t + 1. What is the smallest common multiple of 2/(-5) - 81/(-15) and s(-5)?
5
What is the common denominator of -68/57 and ((-203)/116)/(-9*1/(-10))?
342
Suppose 3*q - 20 = 2*q. Calculate the smallest common multiple of 12 and q.
60
Suppose 5*j - j - 29 = z, 0 = 3*z - 9. Suppose -3*d = -4*d + 11. What is the lowest common multiple of j and d?
88
Let q = 52 - 30. Calculate the least common multiple of 18 and q.
198
Let s be 15/(-172)*(-2)/69. Let f = 56885/6923 - s. What is the common denominator of 1/44*-46 + 2 and f?
154
Suppose 2*b = -5*l - 22, -4*l - 50 + 10 = -4*b. Let o = 12443/8 + -1558. Calculate the common denominator of o and l/(-21) + 1346/(-252).
72
Suppose -2*r + 3*r - 1 = 0. What is the common denominator of -1*(-2 + (-130)/8) and r + 2*6/(-40)?
20
Suppose -5*l - 20 = 0, 4*l - 109 = -5*s - 0*l. Suppose -15 = -j + 2*k, -4 - 2 = 2*k. Suppose -2*v = j - s. Calculate the smallest common multiple of 12 and v.
24
Let c = -3956/9 - -443. Find the common denominator of 113/30 and c.
90
Suppose -7*h = -3*h + 2*i + 1974, -1968 = 4*h - 4*i. Let x = 1508/3 + h. Find the common denominator of -52/5 and x.
15
Suppose -4*h + 3*i - 204 = 0, 3*h + 225 = 3*i + 69. Calculate the common denominator of 47/4 and h.
4
Suppose -5*t + 46 = 2*o, -80 = -5*o + o - 4*t. What is the lowest common multiple of 22 and o?
198
Let t = -1990/261 - 40/261. Find the common denominator of -8 + 486/15 + 2/(-5) and t.
9
Suppose 36*a - 68 = 328. Suppose 3*v + 3*w - 10 = 11, -40 = -4*v + 2*w. What is the least common multiple of a and v?
99
Suppose c + 0 = -h + 7, 0 = -h. Suppose 0 = -4*j + 3*j. Suppose j = -o - 2*g + 16, -4*o + g - 58 = -c*o. Calculate the lowest common multiple of o and 22.
220
Suppose 0 - 6 = -f. Let y(j) = 4*j**2 + 11*j - 2. Let i(x) = 5*x**2 + 12*x - 3. Let h(w) = -3*i(w) + 4*y(w). What is the least common multiple of h(-8) and f?
6
Let v = -12 - -14. Suppose 0 = 3*g, -3*g = v*d + 2*g - 12. Calculate the lowest common multiple of d and 2.
6
Suppose -5*b + 14 = -21. Calculate the smallest common multiple of b and 1.
7
Let c = -1207837/18755 + 3/3751. Let y = -1121/15 - c. Find the common denominator of y and -29/3.
3
Let h = 4475 - 53645/12. Calculate the common denominator of h and -87/98.
588
Let c(x) = 2*x. Let h be c(2). Suppose 5*g - 1 = h. What is the smallest common multiple of g and 6?
6
Let v be (-1 + 2522)*1/(-6). Suppose 2118 = 2*o - 7*o + 3*r, -3*o - 4*r = 1265. Let k = v - o. Calculate the common denominator of -95/14 and k.
42
Let h be (-60)/9 - 4/(-6). Let c be ((-9333)/h)/(3690/2). Let i = 2/205 - c. Find the common denominator of i and -113/14.
42
Let o(p) = p + 4. Let z be o(0). What is the common denominator of -101/12 and z/(8/27) - 1?
12
Let h = -15 - -25. Let o = h - -12. Calculate the smallest common multiple of 10 and o.
110
Calculate the smallest common multiple of 3 and (2/6)/(8/(-9) - -1).
3
Calculate the common denominator of 27/2 and ((-3)/8)/(60/72).
20
Suppose 2*p + 0*p - 4 = 0. Let i(c) = -c**2 - 5*c - 4. Let t be i(-4). Suppose p*v - 12 = -t. What is the lowest common multiple of v and 18?
18
Let o = 8 - 6. Suppose -5*h - o*u - 3*u = 0, -u = 2*h. Suppose h = 2*y - 0*y - 32. What is the smallest common multiple of 6 and y?
48
Let o be (46/(-20)*2)/1. Let w = o - -94/15. Find the common denominator of 85/2 and w.
6
Suppose y = 3*y - 14. Suppose -y*h + 4*h + 48 = 0. Calculate the smallest common multiple of 8 and h.
16
Let h = 21 + -15. What is the lowest common multiple of h and 12?
12
Let y = -512 - -2137/4. Let q = -20291/4 + 5097. What is the common denominator of q and y?
4
Suppose 5 = 2*r + 3*j - 1, 5*r - j = 32. Suppose 3*m + 15 = r*m. What is the lowest common multiple of ((-4)/m)/((-3)/30) and 14?
56
Let g = -2247/68 - -396/17. Let d = -4638/1397 - -6/127. Find the common denominator of d and g.
44
Let m = -3501 + 34957/10. What is the common denominator of 83/10 and m?
10
Suppose 8 = 2*j + 2*j. Suppose 2*a = -2*v - 0*v + 6, -2*v - 15 = -5*a. Suppose v - j = -r. What is the smallest common multiple of 11 and r?
22
Let l = 74 - 15. Suppose -5*u = -l + 14. What is the lowest common multiple of 1 and u?
9
Let j be (-2 - 3/2)*-4. Find the common denominator of (128/j)/2 + 0 and 101/2.
14
Suppose 2*c = -11 + 27. Let m(g) = -7*g - 3. What is the lowest common multiple of c and m(-3)?
72
Calculate the common denominator of (-37)/(-4)*(-4 + 2) and -67/8.
8
Suppose -4*m + 5*r - 233 = 0, -2*r = -3*m - 0*r - 180. Suppose -2*j - 2*j = 0, 3*j - 420 = -5*o. Find the common denominator of 9/8 and m/(-15)*(-35)/o.
72
What is the least common multiple of 16 and 23 - (-4)/(-1 + -3)?
176
Let k = -171068079563 - -13891070196442149/81202. Let s = -2/3691 - k. Calculate the common denominator of (1*-1)/((-48)/(-904)) and s.
66
Let t = -99 - -103. Calculate the lowest common multiple of 31 and t.
124
Suppose -h + 6*h + 12 = -c, 5*c = -5*h. Suppose -g + 40 = 3*g - 3*i, 50 = 5*g - c*i. Let r(d) = -2*d**3. What is the lowest common multiple of r(-1) and g?
10
Let d(i) = 31*i**2 + 2*i + 1. Let l be d(-1). Suppose 7*b - l = 2*b. What is the least common multiple of b and 7?
42
Suppose -4*a - 5*q + 3 + 29 = 0, 0 = -5*a + q + 11. Suppose -a*p = r - 21, 3*p - 56 = -5*r + 13. Calculate the least common multiple of r and 6.
12
What is the common denominator of (2/(-4))/(12/(-468)) and ((-119)/(-18))/((-8)/(-6))?
24
Suppose -3*b = -3*f - 6, -2*b = -4*f - f - 4. Suppose b*g - 190 = -5*u, 4*g + 209 - 49 = 5*u. Find the common denominator of (-3)/(u/(-62)) - 3 and -119/20.
60
Suppose 7 = 2*y - 3*m, 0*y + y - 3*m = 5. Suppose 2*x - 63 = -x. Let n = x - 16. What is the lowest common multiple of n and y?
10
Find the common denominator of (-205)/(-50) + -3*(-3)/(-15) and 63/8.
8
Calculate the common denominator of 33/(-14) + -2 + 4 and 13/8.
56
Let f = 345 - 15151/44. Calculate the common denominator of f and -103/40.
440
Let y(q) = -q**2 + 2*q - 9. Let t be y(5). Calculate the common denominator of -97/22 and 27/(-8)*t/36.
44
Let z(p) = 15613*p + 4. Let a be z(-3). Let r = a + 655999/14. Let o = 929/70 - r. Find the common denominator of 117/10 and o.
10
What is the common denominator of 31/10 and (146/6)/(48/18)?
40
Suppose -d + 3 = z, -2*z + 2*d + 2 = -0*d. Suppose -5*g + z*f + 48 = f, -4*f = -3*g + 22. What is the smallest common multiple of g and 6?
30
Let m(p) = p**2 - p + 1. Let i be m(3). Suppose 0 = d + 2*v - 8, 5*d + 3*v = d + i. Calculate the common denominator of 121/12 and d/(-7) + 1170/(-28).
12
Let p = -25 - -33. What is the least common multiple of p and 6?
24
Let k(w) = -w**3 + 6*w**2 - 4*w. Let p(z) = -2*z - 5. Let v be p(-6). Suppose 2 = -2*f, -2*f = -4*y + 15 + v. What is the least common multiple of 9 and k(y)?
45
Calculate the common denominator of ((-63)/168)/(9/130) and (-492)/(-63) - (-1)/3.
84
Let o = 336 - 202. What is the lowest common multiple of o and 20?
1340
Suppose 0 = -w - w + 24. Calculate the least common multiple of w and 18.
36
Let q = 58754/15 + -3913. Calculate the common denominator of q and -17/12.
60
Calculate the common denominator of (-16)/(-18)*2 + 3 and -25.
9
Let x(v) = -4*v - v**3 + 0*v + 9*v + 4*v**2 - 1. Let c be x(5). Find the common denominator of -85/14 and (-5)/((-36)/57*c).
84
Let g = 38 