80
Let v = 16 + -9. Calculate the smallest common multiple of (-28 - 4)/(-4) - 1 and v.
7
Let n(z) = 2*z - 8. Let i be n(7). Suppose -r = -24 + i. Let t = 3 - -3. Calculate the smallest common multiple of t and r.
18
Let l(n) = n + 18. Let h be l(0). What is the smallest common multiple of 20 and 184/h + 6/(-27)?
20
Let x = 72 + -42. Suppose -3*q + 0*q + x = 0. What is the lowest common multiple of 10 and q?
10
Let v(p) = 3*p + 6. Let b be v(-4). Let j = b - -20. What is the lowest common multiple of 20 and j?
140
Let h(r) = -13*r - 14. What is the lowest common multiple of 22 and h(-4)?
418
Find the common denominator of (-465)/(-36) + 0 + -3 + -2 and -19/4.
12
Calculate the common denominator of ((-8)/(-20))/(64/10) and -91/2.
16
Let c(d) = 19*d - 1. Let u be c(3). Suppose 2*y - 16 = u. Find the common denominator of 43/4 and y.
4
What is the lowest common multiple of 6 and (-2 - -9) + 1 + 1?
18
Let g = 1652 - 36401/22. What is the common denominator of g and (-121)/16 + 1 + 2?
176
Let c = 78 + -49. Suppose -5*k - n + c = 0, -2*n + 0*n = k - 13. Calculate the smallest common multiple of k and 6.
30
Let q be 104/32 - (-2)/(-8). Suppose 0 = -q*p - s + 24, -3*s = -5*s. Let k(x) = -x**2 - x + 10. Calculate the smallest common multiple of k(0) and p.
40
Let d = -6/317 + -6633/1268. Calculate the common denominator of d and 25/8.
8
Let g = -3352 - -53655/16. Suppose -3*w + 3*p = 0, -2*p - 3*p = 3*w + 8. What is the common denominator of g and (-47)/(-10) + w + -1?
80
Let k(u) = -u**2 + 4*u + 5. Suppose -2*h - 2 = 0, n + h - 6 = -1. Let p(q) = 2*q - 8. Let c be p(n). What is the lowest common multiple of k(c) and 3?
15
Let s be ((-57 - -3) + 0)*-41. What is the common denominator of 4/11 and ((-1)/(-3))/((-60)/s)?
110
Let h = -689/36 + 103/4. Calculate the common denominator of -3/8 and h.
72
Let p be (1/(-1) - -2) + -1. Suppose 2*y = -5*c + 21, 0 = 3*c - p - 9. What is the lowest common multiple of 6 and y?
6
Suppose -h = -0*h - 28. Suppose 4*w = m - h + 4, 3*w + 11 = -m. What is the least common multiple of 11 and m?
44
Let n(j) = 2*j - 18. Calculate the lowest common multiple of 18 and n(15).
36
Let a = -699 - -13969/20. What is the common denominator of a and 75/16?
80
Suppose -157 = -7*l - 45. What is the smallest common multiple of 14 and l?
112
Let v = 314/99 + -74/11. Let x = -15677998102/14685885 + -2/1631765. Let n = 1072 + x. Calculate the common denominator of v and n.
9
Let r(x) = -x**3 + 7*x**2 - 7*x. Let h be r(5). Calculate the least common multiple of 15 - ((-1)/(-1) + -2 + 0) and 6/h - (-136)/10.
112
Let t(c) = c**3 - 10*c**2 + 10*c + 4. Let y be 6/(0 + 12/16). Find the common denominator of -5/6 and t(y).
6
Let w(j) be the third derivative of j**5/60 - j**4/4 + j**3/2 + 3*j**2. Calculate the least common multiple of 4 and w(7).
20
Let m = 6 + 6. Let p = -50 - -72. Calculate the least common multiple of m and p.
132
Suppose 0 = -z + 5*a - 16, -6*z + 32 = -z + 3*a. What is the smallest common multiple of 7 and z?
28
Let x(y) = -y**3 + 7*y**2 - 3*y - 7. Let u be x(5). Let f = u - 14. What is the smallest common multiple of 8 and f?
56
Let h(s) = s**3 - 2*s**2 + 2*s - 3. Let i be h(2). Suppose 0 = p + i - 3. Suppose p*m - 24 = -2*m. Calculate the lowest common multiple of 4 and m.
12
Suppose 29 = 5*m - 11. What is the smallest common multiple of m and 12?
24
Let c(v) = 3*v - 20. Suppose 0 = 5*w + 13 - 53. Calculate the least common multiple of 20 and c(w).
20
Let a(z) = z - 2. What is the lowest common multiple of a(10) and 5?
40
Let d = 4 - 4. Suppose d = 4*p + p + 3*g - 33, -3*p + 3*g = -15. Calculate the lowest common multiple of 2 and p.
6
Let k be (9/15)/(1/5). Suppose r - k - 19 = 2*n, -4*r - 4*n + 64 = 0. What is the least common multiple of r and 10?
90
Let j = 2326 - 20974/9. Calculate the common denominator of 101/10 and j.
90
Let o(v) = v**3 - 10*v**2 + 9*v + 2. What is the lowest common multiple of 14 and o(9)?
14
Let n(d) = d**2 + 14 + 2*d - 3 + 7*d. Suppose 4*i + 2 + 6 = 4*z, -4*i = -5*z + 12. Calculate the lowest common multiple of i and n(-8).
6
Suppose 0 = 5*y - 70 - 10. Let t be 12/8*(9 + 1). Suppose -100 = t*s - 20*s. Calculate the least common multiple of y and s.
80
Calculate the lowest common multiple of (-6465)/(-195) - (-4)/(-26) and 24.
264
Suppose -z - 2*z + 20 = 2*d, 0 = -z + 3*d - 8. What is the lowest common multiple of z and 11?
44
Let a be ((-193308)/1269)/((-2)/12). Let n = 914 - a. Let l = n - -8879/282. Calculate the common denominator of l and 73/8.
8
Let t be (0*1/2)/(-1). Suppose -2*r + r + 40 = 5*o, -2*r - 4*o + 56 = t. Calculate the least common multiple of ((-3)/(-2))/((-1)/(-8)) and r.
60
What is the common denominator of (4 - (-609)/(-153))*318/(-8) and -123/10?
340
Let p = -30850 + 1048807/34. What is the common denominator of p and -46/9?
306
Let n = 450742/33 - 13660. Calculate the common denominator of n and 1/7.
231
Find the common denominator of (-3)/(20*(-2)/(-6)) and -111/22.
220
Let w be 3 - (-5)/(5/22). Let z(b) = b**3 + 2*b**2 - 5*b - 4. What is the smallest common multiple of w/4 + (-4)/16 and z(-3)?
6
Suppose -18 = j - 6. What is the common denominator of -101/14 and 248/j*(-18)/(-8)?
14
Let x be (-55719)/(-21) - 4/14. Let q = x + -570396/215. Let y = q + 19997/430. Calculate the common denominator of -77/18 and y.
18
Let g = -8 - -1. Let c(h) = h + 12. Let w be c(g). Let v = 11 - w. Calculate the smallest common multiple of 8 and v.
24
Suppose 0 = -d + 2 - 0. Suppose 5*w = 4*n - 0 + d, -5*n + 18 = 4*w. What is the least common multiple of n and 11?
22
Suppose -4*o + 10 + 50 = 0. Suppose 0 = 4*m + 5*b - 9 - 78, -m + o = -b. What is the lowest common multiple of 10 and m?
90
Let l(j) = 3*j - 20. What is the smallest common multiple of 9 and l(8)?
36
Suppose -3 - 3 = 2*q. Calculate the smallest common multiple of (1 + q)/(4/(-6)) and 2.
6
Let j = -742/69 - -2147/92. Find the common denominator of j and 97/(-24) - 4/(-6).
24
Let t = 7737/4 - 22957/12. Calculate the common denominator of 39/14 and t.
42
Suppose -57 = 3*a + 429. Calculate the common denominator of a/28 - (2 - 1) and 9/10.
70
Let f be (4/6)/((-6)/(-9504)). Let m = f + -3100/3. Find the common denominator of m and 10/11.
33
Let u = 21088/903 + -6/301. What is the common denominator of 11/10 and u?
30
Suppose -4*q = 3*k - 17 - 59, 3*q = k + 70. Calculate the least common multiple of 6 and q.
66
Let t = -2/5795 - -318733/23180. Find the common denominator of t and 2/(-6) - 30/(-4).
12
Suppose 5*k - 2*j - 23 = 0, 28 = 5*k + 5*j - 2*j. What is the smallest common multiple of 6 and k?
30
Suppose 3*k - 96 = -3*k. What is the lowest common multiple of k and 8?
16
Let m be -8 - (3 - (-15)/(-3)). What is the smallest common multiple of -1*1/1 + 17 and (-3 + -3)*14/m?
112
Suppose 26 = -u + w, -5*u = -u + 5*w + 59. Calculate the common denominator of 38/9 and (3/(-6))/(5/u).
90
Suppose 0 = 3*d + 3*p - 18, -2*d - 3*p = 2 - 17. Calculate the lowest common multiple of ((-21)/(-6))/((-2)/(-4)) and d.
21
Let b = -3939281/210 + 131052/7. Let k = 268/5 + b. Calculate the common denominator of 67/3 and k.
6
Let x = -172 + -196. Let s = x - -2581/7. Calculate the common denominator of s and 44/5.
35
Let t = 14 + -21. Suppose -3*c - 3 = -6*c. What is the lowest common multiple of -1 - t*(0 + c) and 14?
42
Let y = 418605842959663/29320 + -14277143355. Let j be (-6)/15 + (-294)/(-733). Let d = y + j. What is the common denominator of d and 85/8?
8
Let g be (-4114)/728 - (-6)/21. Let v = 25/104 + g. What is the common denominator of v and -9/7?
56
Calculate the common denominator of -101/120 and ((-14)/16)/(-3 - (-52)/24).
120
Suppose 5*z - 3855 = 260. Let x = -5743/7 + z. Calculate the common denominator of x and -49/11.
77
Calculate the common denominator of (-71)/2 - 2 - -2 and (-171)/(-4) + (-20)/16 + 1.
2
Let c be 3/(-18) - (-53315)/30. Let z = c - 5257/3. Find the common denominator of 21/10 and z.
30
Let o = 59743/12 + -4984. Find the common denominator of o and 57/8.
24
Let y be (-21422)/(-10840) - (-1)/(-1). Let l = 20/271 + y. Let j = 15022 + -300361/20. What is the common denominator of j and l?
20
Let g be 2/(-6)*2546028/(-88). Let t = 9646 - g. Find the common denominator of -75/14 and t.
154
Let u = -7215 + 331905/46. What i