2
Suppose 22*i = 18*i + 40. Suppose 4 = g - k - 4, -4*k + 28 = 2*g. What is the lowest common multiple of i and g?
10
Suppose -3*n - 13 = 4*b + 3, -b - 4*n - 4 = 0. Calculate the common denominator of (-510)/(-70) - b/(-7) and -38/3.
21
Let g(k) = -20*k + 4. Let m be g(-4). Calculate the smallest common multiple of ((-2)/(-6))/(2/m) and 16.
112
Let i be (-4)/(-6) + (-524)/(-33). Let h = -280399/1650 + 3964/25. Let c = i + h. What is the common denominator of c and -85/8?
24
Let p(m) = -5*m**2 + 5*m + 8. Let d(t) = -4*t**2 + 5*t + 8. Let w(y) = -4*d(y) + 3*p(y). Let h = 13 + -5. What is the smallest common multiple of 6 and w(h)?
48
Let h = -57 - -63. What is the lowest common multiple of 12 and h?
12
Let h be -1 - (6*2)/(-4). Suppose 16 = -h*y + 4*y. Let z(a) = 8*a**2. What is the smallest common multiple of z(1) and y?
8
Suppose 10 = -h + 4*a + 35, 5 = -a. Let b = 11 - h. Calculate the smallest common multiple of b and 8.
24
Suppose -11*q = -10*q - 27. Suppose -5*g + z = -q, 1 = g + z - 8. What is the least common multiple of 6 and g?
6
Suppose -5*f + 4*y + 49 = -13, 0 = -3*y + 6. What is the lowest common multiple of 6 + (-4)/(-1) + -2 and f?
56
What is the common denominator of 0 - -6*68/16 and -10/9?
18
Suppose o - 4*o + 9 = 0. Suppose -2*h + 4*h + 3*p = 565, o*p = -3*h + 855. Let v = -1201/4 + h. What is the common denominator of v and -23/6?
12
Let l be (3/1)/((-3)/2). Let v(y) = -y. What is the lowest common multiple of v(l) and (-1)/(3/2 + -2)?
2
Let b = -2 + 9. Suppose 2*z - 30 = b*z. Calculate the common denominator of 10/24*99/z and -1/2.
8
Calculate the common denominator of (-4)/54*1572/(-16) and 73/22.
198
Suppose 4*q - 5 = 43. Suppose 0 = 2*l - 6*l - 5*t - 36, 4 = 2*l - 3*t. Calculate the smallest common multiple of l + 0 - (-15 - 3) and q.
84
What is the common denominator of (-551)/(-120) + 2 - 16/20 and -149/30?
120
Suppose 2 = -3*n - 4. Let h be (-7)/n - (-2)/4. Suppose 0*c - h*c + 56 = 0. What is the smallest common multiple of c and 2?
14
Let w be 61 - (-3)/2*2. Suppose -104 = -5*d + 3*r, 4*d - d = r + w. Calculate the smallest common multiple of 6 and d.
66
Let t = 9477/40 + -1099/5. Let s = 761/40 - t. Let r = -2716 + 49007/18. Find the common denominator of r and s.
90
Let c = 18525031/8 - 2320686. Let v be 1009/(-1 - 8/(-10)). Let s = c - v. Calculate the common denominator of 73/10 and s.
40
Let f(p) = -p**3 + 9*p**2 - 7*p - 10. Let n be f(7). Suppose 3*x + 6 = -n. Find the common denominator of -23 and (-6)/x - 466/(-10).
1
Let y(a) = a - 2. Calculate the lowest common multiple of 8 and y(6).
8
Let t(c) = -c**2 + 8*c - 8. Let o = -6 - -12. What is the smallest common multiple of (-15)/(-4) - 2/(-8) and t(o)?
4
Let s(i) = 2*i**2 - 4*i + 2. What is the smallest common multiple of 6 and s(2)?
6
Let d = 42 - 26. Calculate the smallest common multiple of 18 and d.
144
Suppose 0 = 6*f - 7*f + 2. Let t(d) be the second derivative of d**4/4 + 2*d**3/3 + d**2/2 + d. Calculate the least common multiple of f and t(-3).
16
Suppose -2*d + 0*d + 28 = 2*n, -n = 4*d - 59. What is the least common multiple of d and 36?
180
Let v(m) = m + 14. Let b be v(-12). What is the common denominator of -65/6 and (159/(-72))/(b/3)?
48
Let f(t) = -t**3 - t + 9. Let h be f(0). Let w = h + -5. What is the least common multiple of w and 10?
20
Let n(l) = -2*l**3 - 3*l**2 + 2*l - 3. Let z be n(-3). Suppose 2*p = p + z. Calculate the lowest common multiple of 3 - -1 - (3 - 3) and p.
36
Let n be (35/25)/(2/8). Let x = n + -201/35. Find the common denominator of 12/5 and x.
35
What is the common denominator of (119/56)/(1*-2) and -23/10?
80
Suppose -l + 8 = -5*j - 5*l, -5*l = -15. Let w(k) = 340*k - 4. Let p be w(j). Let t = -4139/3 - p. Calculate the common denominator of -31/2 and t.
6
Let y = 2/470931 + 493274049/2511632. Let f = 583/3 - y. Calculate the common denominator of f and 22/12*21/2.
16
Let j = 18 - 12. What is the lowest common multiple of 11 and j?
66
Let x = 23/6 - 9/2. What is the common denominator of 82/21 and x?
21
Let g = 615/22 - -226/11. Let y(p) = -p - 7. Let m be y(-5). What is the common denominator of 73/(-14 + 1*m) and g?
16
Let c(s) = 6*s - 1. Let z be c(3). Let w = z + -7. Calculate the common denominator of 35/6 and 2 + 1/(w/94).
30
Let a(k) = -2*k - 1. Calculate the smallest common multiple of a(-8) and 24.
120
What is the smallest common multiple of 7 and (-28)/(-6)*6/7?
28
Let a be (-2 - 4189) + 0 + 2. Let c = 50353/12 + a. What is the common denominator of ((-9)/(-90))/(4/590) and c?
12
Suppose -63 = -3*k + 3*w, -w = -3*k + 59 + 2. Calculate the least common multiple of 34 and k.
340
Suppose -4*j - j = -350. Suppose 50 + j = 3*d. Calculate the common denominator of d and -29.
1
Let d = 28 - 20. Calculate the least common multiple of 6 and d.
24
What is the common denominator of (-13)/(-8)*(2 - 4) and 12/5?
20
Suppose 0 = -14*y + 12*y + 4. Let w be (1 - -1) + -1 - 15. Calculate the least common multiple of 6 and w*y/4*-1.
42
Let p(o) = 18*o. Calculate the smallest common multiple of 50 and p(1).
450
Let r = -391 + 817/2. Calculate the common denominator of -61/9 and r.
18
Let u = -193143/928 + 6120/29. What is the common denominator of u and 25/12?
96
Let m(r) = 2*r**3 + 3*r**2 + r. Let c be m(-2). Let h(n) = -4*n - 8. Calculate the lowest common multiple of h(c) and 2.
16
Let p = 1 + -3. Let y = 138 + -1361/10. Calculate the common denominator of y and p/(-4) + (-122)/(-16).
40
Let r = 17/7 - 15/7. Let t = -13 + 25. Suppose t = u + 40. What is the common denominator of r and u?
7
Find the common denominator of (57/24)/((-19)/(-10) + -2) and 2 - 0 - 59/(-18).
36
Let m be 71/2 + 3/6. Suppose -i = 3*b + m, 5*b - 47 = 5*i + 53. What is the common denominator of -83/12 and (-35)/i*6/4?
48
Let c be 8 + -3*(-2)/6. Let l = 12766 - 153083/12. What is the common denominator of l and 2103/378 + 2/c?
84
Let y(i) = -24*i**3 + 3*i**2 - 4*i - 6. Suppose -2*m - 12 + 4 = 0. Let q be y(m). Let n = 14320/9 - q. Calculate the common denominator of n and -74/9.
9
What is the least common multiple of ((-40)/(-14))/((-15)/(-105)) and 12?
60
Let x(l) = 5*l - 6. Let f(s) = 14*s - 18. Let p(w) = 3*f(w) - 8*x(w). Suppose t - 10 + 0 = 0. What is the least common multiple of t and p(6)?
30
Suppose -5*b - 10 = -10*b. Let t = 24 - b. What is the least common multiple of 4 and t?
44
Let q be 2/6*54/6. Suppose -q*x + 88 = x. What is the lowest common multiple of 14 and x?
154
Suppose -4*c - 7 = -3, 0 = -3*r - 4*c - 484. Find the common denominator of 77/18 and 4/(r/(-26)) + 0.
180
Let m = 8 + 4. What is the least common multiple of 33 and m?
132
Let f = 7/111 - -1831/888. Let u be 0 + (-134115)/12056 + -1. Let b = 1/1507 - u. Find the common denominator of f and b.
8
Suppose 16*k + 413 = 1357. What is the least common multiple of k and 8?
472
Let k = 76 + -68. What is the least common multiple of k and 40?
40
Suppose 0*q = -2*q. Calculate the common denominator of -77/8 and 59/(-11) - (q + -2).
88
Let m = 8 - 5. Suppose 0 = -5*k - m + 23, 10 = -h + 3*k. What is the lowest common multiple of 5 and h?
10
Suppose 0*f - 5*f + 2*l + 18 = 0, l + 6 = f. Let i(b) = -b**3 - 10*b**2 - 27*b - 12. What is the smallest common multiple of f and i(-6)?
6
Let k(v) = v + 7. Let g = -4 - 1. What is the least common multiple of 126/8 - 5/(-20) and k(g)?
16
Let o = -1951128 - -31229561/16. Let x = -721 + o. Find the common denominator of -121/18 and x.
144
Let d = 4935/4 + -1224. Calculate the common denominator of d and 75/44.
44
Let t = -325/6 - -54. Calculate the common denominator of t and 3/64.
192
Let o = 21 + -18. Suppose 4*y = 3*y + o. Calculate the least common multiple of y and 1.
3
Let z(x) = x**2 - 11*x + 39. What is the least common multiple of z(6) and 9?
9
Let w = -3554050 + 21384449/6. Suppose p - 13892 + 3845 = 0. Let h = w - p. Find the common denominator of -137/18 and h.
18
What is the lowest common multiple of 1 and (16/(-5))/(8/(-20))?
8
Find the common denominator of 5/33 and ((-4)/(-5) - 1)*16.
165
Let l = 67475/5702 + -2/8553. Find the common denominator of l and -97/12.
12
Let z = -6 + 8. Let i = -2 + z. What is the lowest common multiple of 6 and -1 + i - -19 - 2?
48
Let y = 166/3 + -2875/48. What is the common denominator of 31/82 and y?
