42
Suppose i - 17 + 5 = -3*h, 2*h - 8 = i. Suppose -5*a + 20 = -4*s, 70*a - 72*a = 4*s - 36. What is the lowest common multiple of a and h?
8
Let g = -722959/1246509 - 4/15389. Find the common denominator of -13/99 and g.
891
Suppose -2*w = -2*m + 100, -3*m + 0*w + 4*w + 146 = 0. Suppose c + c - 20 = 0. Calculate the smallest common multiple of c and 6/4 - (-675)/m.
70
Let i(d) = -2*d**3 + 1. Let v(k) = 4*k**2 + 8*k + 7. Calculate the lowest common multiple of i(-1) and v(-1).
3
Suppose 3 = -3*r, 6*r - 4*r = z - 38. Calculate the smallest common multiple of 33 and z.
396
Suppose 7 = -2*y + i, -4*y + 1 - 16 = -3*i. Let t(p) = -p**3 - 3*p**2 + 2*p + 4. Let x be t(y). Find the common denominator of x/(-12)*84/8 and -26/7.
28
Let u(k) = 15*k**2 - k. Let p(b) = b**3 - 19*b**2 + b - 1. Calculate the least common multiple of u(1) and p(19).
126
Suppose -4*b + 5 = 65. Find the common denominator of -11/7 and b/9 - -2 - (-1244)/120.
70
Let c be 108/15 + (-3)/15. Suppose h + 4*h = -y + 17, h = 5*y - c. Suppose -2*v + 44 = 2*v. Calculate the least common multiple of v and y.
22
Let q be 3 - (2 - 2)/3. Let k(v) = -3 - 4 + q - 2 + v. What is the least common multiple of 6 and k(9)?
6
Let u be 6/9 - 61/(-3). Let n = 189 + -206. Let m = n + u. What is the smallest common multiple of 44 and m?
44
Let j = -252239/41538 + 1007/161. Let w = j + -2/129. Find the common denominator of (-91)/84*(-44)/(-6) and w.
18
Let a = 929593/48 - 19364. Let q = -33049/2990 + -14/299. Find the common denominator of q and a.
240
Suppose -f + 7*a - 14 = 3*a, -2*a - 2 = -5*f. What is the least common multiple of f and 29?
58
Suppose 23*a = 18*a - 90. Calculate the common denominator of 132/(-40)*(-75)/a and -59/14.
28
Let i(x) be the second derivative of -x**3/6 - 2*x**2 - 10*x. Let b be i(2). Calculate the common denominator of 115/14 and (-229)/b - 13/(-39).
14
Let k(u) = -51*u - 390. Let v = -4 + 9. Suppose -v*b + 0*b = -20. Calculate the least common multiple of b and k(-8).
36
Let j = -409 - -381. Let p be (-5)/20 + 1/4. Calculate the common denominator of j and p - 1 - 34/(-18).
9
Suppose -11*o - 1 = -10*o. Let j(n) = -n + 2. Let d be j(6). What is the least common multiple of 4 and (o - d)/((-9)/(-30))?
20
Suppose -18*f - 1 + 145 = 0. Calculate the smallest common multiple of f and 19.
152
Let d = 385 + -416. Let k(o) = -o**2 + 6*o - 7. Let a be k(9). Let q = d - a. Calculate the lowest common multiple of 5 and q.
15
Find the common denominator of (-87)/18 + -3 - 4/16 and 11/55 + 407/(-10).
12
Suppose 23 = 5*j - 37. Let q = -3 + 8. Calculate the lowest common multiple of 22/2 - (4 - q) and j.
12
Let v(b) = -2*b**3 + 10*b**2 + b - 3. Let l be v(5). Suppose -5*s - 2 + 18 = q, 0 = -2*s - l*q + 8. What is the smallest common multiple of 13 and s?
39
Suppose -7*t + 2*l = -4*t - 136, 184 = 4*t - 4*l. What is the lowest common multiple of 68 and t?
748
Let y = -81 + 113. Let h = y - 15. Suppose 4*b = 61 - h. What is the lowest common multiple of b and 11?
11
Let w(r) = -13*r - 2. Let z be w(-2). Let d = z + 15. Find the common denominator of 173/(-20) + d/13 and -97/2.
20
Let p = -60 - -61. What is the smallest common multiple of 14 + p/(2/(-4)) and 74?
444
Suppose -5 = -3*t - 14, 2*u - t + 4349 = 0. Let a = 3544 + u. Let n = a + -4138/3. Calculate the common denominator of 127/6 and n.
6
Find the common denominator of (-56)/(-48)*(-40 - -1) and -71/44.
44
Let r = 24625/12 + -2054. What is the common denominator of -61/1456 and r?
4368
Let g be (1 - -3*2)*1. Suppose -4*w = -4*h + 4, 2*h + 2*w - g*w = -10. What is the least common multiple of h and 9?
45
What is the common denominator of -71/42 and 456/44 + -4 - (10 - 4)?
462
Find the common denominator of -11/145 and (-1 - (-40)/30) + 213/360.
1160
Let n be 21*(2/2 + 0). Suppose 49 + n = 5*m. Calculate the lowest common multiple of 28 and m.
28
Let t(r) = r**2. Let y be t(3). Let l be -8*6*y/(-6). Calculate the common denominator of (9/(-30))/(l/(-465)) and -133/18.
144
Suppose -27 = 4*y + 45. Let u = -14 - y. Calculate the least common multiple of 4 and u.
4
Let v = -1533/8 - -7317/40. Calculate the common denominator of (-31)/8*(-12)/15 and v.
10
Let p be (-90)/105*14/2. Let s(m) = -4*m - 6. Calculate the lowest common multiple of s(p) and -1 + 1*1*15.
126
Suppose -3*s = -n - 2, -7*s = -5*n - 3*s + 12. Let j = -325 - -330. Calculate the least common multiple of j and 21 - (-5 + 3 + n).
95
Suppose 0 = -z + 3*z - 44. Let k(i) = i**3 - 4*i**2 + 3*i + 3. Let o be k(4). Let d = o - -5. Calculate the lowest common multiple of z and d.
220
Suppose -4*n + 4*x = 6*x + 6066, 4*n + 3*x + 6071 = 0. Let q = n - -7541/5. What is the common denominator of q and 49/9?
45
Let v = -36 + 32. Calculate the common denominator of 627/18 - 2/6 and 10/(v/92 - 1).
12
Let c be 17/3 + (-2)/3. Suppose -c*f = 3 - 13. Suppose -n + 3 = -q + 4*n, -f*n + 8 = 3*q. Calculate the smallest common multiple of q and 1.
2
Let a(n) = n**3 - 7*n**2 - 6*n. Let s be a(8). Let g = -6 + s. What is the lowest common multiple of g and 44?
220
Suppose -4*n + 112 = -t, -6*t = 3*n - 5*t - 84. Let l = n + -20. What is the least common multiple of l and 3?
24
Suppose 108 = 3*a - 42. What is the common denominator of (102/(-10))/((-80)/a) and (2/((-8)/(-30)))/2?
8
Suppose -49 - 41 = -3*z. What is the smallest common multiple of z and 303?
3030
Let r = 2899/148 - -6/37. Find the common denominator of 152/32 - (-99)/(-9) and r.
4
Suppose 5*g - 56 = 4. Suppose -3*a - 101 = -128. Calculate the least common multiple of a and g.
36
Let y = 17/1460 - -1789/584. Calculate the common denominator of -59/16 and y.
80
Let u be (-3 - -3 - 1) + 251. Let j = 111 - u. What is the common denominator of 9/7 and j/99 + 4/22?
63
Let q(g) = -20*g**3 - 2*g + 1. Let d be q(1). Find the common denominator of (-2)/(-12)*(-2562)/d and -121/6.
6
Let n be 2 + -7 - (-1966)/9. Let i = n + -142937/666. Calculate the common denominator of 113/10 and i.
370
Calculate the least common multiple of 2*(154/(-4))/(-7) and (22/6)/(2/6).
11
Let s = 5 + -5. Let w be (s - 2)*3/(-2). Suppose 0 = -2*t + 2*y, 4 = 2*t - w*t + 5*y. What is the smallest common multiple of 6 and t?
6
Find the common denominator of 3/81*801/(-6) and -28/33.
198
Let z(r) = -r**2 - 7*r - 4. Suppose -m - m = -26. Suppose -5*s + 22 = -m. Calculate the least common multiple of s and z(-5).
42
Suppose 0 = 2*z - 5*z + 48. Calculate the smallest common multiple of (-10648)/(-264) + (-4)/3 + -3 and z.
144
Suppose 3*n - b - 34 + 7 = 0, n = -b + 9. Suppose -2*m = -t - n, -m - 3 = -3*t - 0*t. What is the common denominator of 158/(-24) + 2/m and 23/2?
4
Let r = -95 - -37. Calculate the common denominator of 2/7 + 190/(-126) and (-5)/15 + r/42.
63
Calculate the common denominator of 24/161 and 1503/(-759) - (234/(-66) - -3).
161
Let p(y) = -y**3 - 15*y**2 + 16*y + 99. Calculate the lowest common multiple of p(-16) and 261.
2871
Calculate the common denominator of 109/42 + (-2 - (-1 + -2)) and 9/32.
672
Let c(j) = 5*j + 4. Let k(h) = -h - 1. Let v(b) = c(b) + 6*k(b). Let t be 6/1*30/(-36). Calculate the least common multiple of v(t) and 4.
12
Let n = -5 + 20. Find the common denominator of (n/25)/((-22)/85) and 99/14.
154
Let h(f) = -f**2 - f + 16. Calculate the least common multiple of h(0) and 16.
16
Let r = 129 - 73. What is the common denominator of 390/8*4/(-6) and 4 + 9/(162/r)?
18
Suppose -81*r + 96 = -79*r. Calculate the smallest common multiple of 14 and r.
336
Suppose 0 = 24*j - 42*j + 198. What is the lowest common multiple of j and 2724?
29964
Let d(v) = v**3 - 8*v**2 - 3*v + 20. Let k be d(9). Suppose 75*f - 16 = k*f. What is the lowest common multiple of f and 24?
48
Suppose -16 + 48 = 2*i. What is the smallest common multiple of 21 - (-4)/(-2) - -1 and i?
80
Suppose -3*u - 2*u = 12530. Let a = 42626/17 + u. What is the common denominator of -31/8 and a?
136
Suppose 0 = -27*f + 8943 + 2235. Calculate the smallest common multiple of f and 18.
414
Let w = -556 - -3349/6. What is the common denominator of w and -46/93?
186
Let d be -7 - (10 + -2)/(-4). Let z(u) = -u - 11. Let j(s) = 3*s + 23. Let y(v) = d*z(v) - 2*j(v). Calculate the smallest common multiple of y(7) and 10.
10
Suppose 0*b = b - 10. Suppose 4*g = -g + b. Suppose 6*v = v - g*i + 4