 r - 2. Let q be -2 - (-2 + 1)*0. What is the least common multiple of 16 and h(q)?
144
Let a = -3161 + 34733/11. What is the common denominator of 37/3 and a?
33
Suppose -4*m = 79 - 23. Calculate the common denominator of (1/m)/((-72)/(-84)) and 117/14.
84
Suppose 3*x + 5*m = 11 + 60, 0 = -2*x + 5*m + 39. What is the lowest common multiple of x and 12?
132
Suppose d = 3*z - 2, 0 = d + 2*d - 4*z + 6. Let n(r) = -2*r. Calculate the smallest common multiple of n(d) and 7.
28
Let c(s) be the second derivative of -1/2*s**2 - 1/6*s**3 - 3/4*s**4 - 1/20*s**5 + 3*s + 0. Calculate the lowest common multiple of 10 and c(-9).
40
Let t be (-4)/26 + 594508/139880. Let g = 1/269 + t. What is the common denominator of -23/5 and g?
10
Let x(r) = 2*r - 8. Calculate the smallest common multiple of x(5) and 4.
4
Calculate the common denominator of (9/24)/(6/26) and -11/6.
24
Let c(s) = -s**2 + 9*s + 4. Suppose 5*z - 17 = -4*o + 17, -2*z = 5*o - 34. Let u = o + 2. What is the smallest common multiple of 22 and c(u)?
132
Suppose 0 = -n - 4, -4*n - 17 - 23 = -3*s. Let b = -5 + s. Suppose b - 27 = -4*f. What is the lowest common multiple of f and 5?
30
Let p be (-1)/(-4) + (-30)/(-8). Suppose 0 = h + p*u - 0*u - 1, u = -2*h + 9. Suppose -7*i + 3*i + 20 = 0. Calculate the least common multiple of i and h.
5
Let w = -8 - -8. Suppose -9 = -3*o - w*o. Calculate the lowest common multiple of o and 5.
15
Let h(z) = -4*z + 1 + z**2 - z**3 + z + 5*z. Let x(c) = c**2 + c - 11. Calculate the smallest common multiple of x(4) and h(-1).
9
Let t be ((-4)/6)/((-2)/9). Suppose 5 = 4*z + 3*i - 16, -2*z = -t*i - 15. What is the smallest common multiple of 10 and z?
30
Suppose 3*i + 2*k - 14 = 0, 2*k - 8 = -i + 3*k. Calculate the least common multiple of i and 9.
18
Find the common denominator of (-237)/9*(-15)/190 and -77/18.
342
Let u(r) = -7*r + 3. Let o(w) = 8*w - 4. Let k(c) = 3*o(c) + 4*u(c). What is the smallest common multiple of k(-1) and 4?
4
Suppose 3*w - 2*w = 54. Suppose -4*v = -9*x + 4*x + 10, 0 = -4*x + 3*v + 8. Suppose -g + w = x*g. What is the lowest common multiple of 20 and g?
180
Suppose 3*y - 4*c = -613, 4 = -0*c - 2*c. Let j = y - -1073/5. Find the common denominator of j and 46/7.
35
Calculate the lowest common multiple of 10 and 6*(-3 + (-33)/(-6)).
30
Let v be (-102)/(-84)*(-4388)/(-2). Let o = v - 2669. What is the common denominator of 32/(-30) - 4/(-10) and o?
21
Let w(p) = 3*p**2. Let r be w(1). Let v(s) = -5*s - 2. What is the lowest common multiple of v(-4) and -5*((-72)/15)/r?
72
Suppose -32*u + 29*u + 48 = 0. Let h be (6 + -2 + -2)*-4. Let r = 12 + h. What is the least common multiple of r and u?
16
Suppose -5*q - 4*o - 6 = 0, 16 + 8 = 2*q - 5*o. Let v(d) = -d + 1. Calculate the lowest common multiple of v(-3) and q.
4
Suppose 0*a - 2*a + 71 = 5*t, -a = -3*t - 63. Suppose 4*y = a - 8. Let d(c) = -2*c - 2. What is the smallest common multiple of y and d(-3)?
20
What is the common denominator of 91/32 and (1/(-2))/((-40)/430)?
32
Suppose -2*t + 2*j - 6 = -0*j, j = 4*t - 3. Calculate the lowest common multiple of t and 11.
22
Let g be (-12)/42 + (-915693)/(-154). Let c = g - 5947. Let s = 729/2 + -317. Find the common denominator of s and c.
22
Let u(n) = -n**3 - 8*n**2 - n - 5. Let d(p) = p**3 + p**2 - 3*p + 1. Let j be d(-3). What is the least common multiple of u(j) and 11?
33
Let c = -90 + 127. Find the common denominator of c and 10/3.
3
Suppose -5*s + 4*k = -21, 0*s + 3*k - 8 = -s. Let j = s - 7. Let l = j - -6. Calculate the lowest common multiple of 9 and l.
36
Let w be 4 + -2 + -2 - 2. What is the common denominator of 41/18 and -1 - 2 - w/(-28)?
126
Let q be 3/6*20 - 3. Suppose -2*a + q*a - 15 = 0. Suppose 3*r - 3*n = 3 + 18, -r + a*n = -7. What is the lowest common multiple of 6 and r?
42
Let p be (1497*8/42)/(-1). Let h = -36145/126 - p. What is the common denominator of h and 31/16?
144
Let v be 4/(-12) + (-121)/(-3). Suppose 3*n - 50 = u, -4*u - v = -4*n + 32. Suppose -4*d + 20 - 4 = 0. What is the lowest common multiple of n and d?
16
Let c be 0/(-1) + (-1 - 0). Calculate the common denominator of c/(-3) + (-143)/(-6) and 27/20.
60
Let x(d) = -d + 4. Let v be x(-3). Suppose 3*w - 9 = 3*s, 0 = -2*w + 5*s - v + 4. Calculate the smallest common multiple of 9 and w.
18
Calculate the smallest common multiple of (-1 - (-1 - 10)) + -1 and 11.
99
Let g = -21817/2104 + -3/526. Calculate the common denominator of 31/9 and g.
72
Suppose 0 = 3*f - 2*h + 2, -4*f - 2*h - 3*h - 18 = 0. Let p = -241/8 - -155/8. What is the common denominator of p and (-613)/126 + f/(-9)?
28
Let u(b) = b**3 - 9*b**2 - 11*b + 14. Let p be u(10). Suppose -2*z + 4*z - p = 0. What is the smallest common multiple of z and 3?
6
Let x = 428 - 423. Suppose -4*p + 5 = -31. Calculate the least common multiple of x and p.
45
Let g = -1014 - -1977/2. Find the common denominator of g and 47/18.
18
Let u = 30677 + -552035/18. Let f = -6379 + 108500/17. Let q = f + -1247/306. What is the common denominator of q and u?
18
Let u = 9 - 0. Calculate the smallest common multiple of 11 and u.
99
Let p(s) = 2*s**3 - 3*s**2 - 3*s. Let j(w) = w**3 + 5*w**2 - 20*w - 26. What is the least common multiple of p(3) and j(-7)?
144
Let r = 12527/10 + -1262. What is the common denominator of -53/6 and r?
30
Let f = 39 - 29. What is the smallest common multiple of f and 10?
10
Suppose 0 = -3*d - 9, 41 = 5*i - 0*d - 2*d. Calculate the smallest common multiple of i and -1 + 2 - ((7 - 6) + -5).
35
Let g = -2233/10 + 1093/5. Find the common denominator of g and -51/7.
70
Let n = -223 + 152. Let j = n + 38. What is the common denominator of 53/6 and (-14)/(-6)*45/j?
66
Let n = 294001606/5235 + -842644/15. Let s = n + 1/698. Calculate the common denominator of s and -117/20.
20
Suppose -3*s + 18 = 3*w, -5*s + w = -1 - 5. Suppose -5*t = -5*j - 30, 3*t + 6 = -j + 24. What is the least common multiple of s and t?
6
Suppose a + a - 10 = 0, -5*p - 2*a = -20. What is the common denominator of p + -5 + 109/8 and -149/18?
72
Let c = 5162/5 + -1040. What is the common denominator of 49/5 and c?
5
Let x = -2277 + 18147/8. What is the common denominator of x and 1/14?
56
Let w(z) = -1 + z**2 + 1 - 5*z + 6. Let m be w(4). Suppose -m*g - s + 22 = 0, 4*g - 55 = -g + 2*s. What is the lowest common multiple of g and 2?
22
Let d = 2 + -6. Calculate the common denominator of 87/2 and (-11)/55*(-475)/d.
4
Let k = 9804 + -195961/20. What is the common denominator of k and 71/18?
180
Let r = 1/2262 - 27712/5655. What is the common denominator of 83/4 and r?
20
Let h = 231773/30564 + 1/7641. Suppose -5*g = -0 - 35. Calculate the common denominator of h and (1/14)/(g/154).
84
What is the common denominator of 9/10 and ((-11)/(-22))/((10/(-158))/1)?
10
Suppose 2 + 2 = 2*j. Suppose j*s - b - 30 = 0, b - 4*b = -s + 15. What is the common denominator of (-79)/5*s/(-12) and -57/16?
16
Suppose 2*m = 10 - 50. Let f = 4 + -2. Find the common denominator of f/5 - (-978)/m and -37/6.
6
Suppose 4*f - 4*q = 15 + 129, 3*q = -3*f + 90. What is the lowest common multiple of 63 and f?
693
Let m(d) = d**3 + 12*d**2 - 17*d - 44. Suppose 6 = t + 2. Let y(i) = i + 2. What is the least common multiple of m(-13) and y(t)?
24
Suppose 3*g = 4*w - g - 36, 4*w = 2*g + 34. Suppose 4 = -3*l - 14. Let x = l + 17. Calculate the lowest common multiple of x and w.
88
Let c = 7327 + -12899. Let a = 122605/22 + c. What is the common denominator of a and -53/12?
132
Let d(k) = -k**3 - 4*k**2 + k + 2. Let r be d(-5). What is the common denominator of 32/r + (-2)/(-11) and -25/9?
99
Suppose -13 = -2*t + 1. Calculate the smallest common multiple of 4 and t.
28
Let s = 2968/3 - 980. What is the common denominator of 15/11 and s?
33
Let o = -1077 + 17221/16. What is the common denominator of o and -13?
16
Let n be 5/15 + (-609)/(-9). Suppose -5*o + 22 + n = 0. What is the least common multiple of o and 14?
126
What is the lowest common multiple of (-4)/(-3*3/9) and 11?
44
Let p(h) = -h + 1. Suppose t = 5*f + 24, -t - 4 = -4*t - 2*f. Suppose 0 = -2*o - t + 14. What is the lowest common multiple of p(-6) and o?
35
Find the common denominator of -3 + (-40)/(-12) - 254/(-36) and 70/3.
18
Suppose -3*d = 4*k - 3 - 0, d + 3 = 0. Suppose 0 = k*h - 2*h - 3. What is the lowest