
88
Let z be (-52)/(-14) + (-14)/(-49). Calculate the smallest common multiple of 38/3 - z/6 and 1/(2 - 1) + 19.
60
Suppose 2*l - 12 = -4*x, 4*l + 15 = 5*x + l. Let f = 49 + -47. What is the least common multiple of f and x?
6
Let k(d) = -d**2 + d + 10. What is the least common multiple of 20 and k(3)?
20
Let a = 457/6 - 212/3. What is the common denominator of a and -113/10?
10
Let s = 109 + -98. What is the lowest common multiple of s and 4?
44
Suppose -l - 11 = -5*r, 4*l = 4*r - l - 13. Let d(c) = -c + 18. Let y be d(0). Suppose -k + y = 2*k. Calculate the lowest common multiple of r and k.
6
Suppose -4*w + 7 + 9 = 0. Suppose -36 = -5*h + 2*h. Let j(q) = 3*q - 16. Calculate the smallest common multiple of j(h) and w.
20
Calculate the lowest common multiple of ((-16)/(-20))/((-24)/(-300)) and (-50)/(-3) + (-6)/9.
80
Let d(i) = -i**3 + 11*i**2 - 16*i + 14. Find the common denominator of 6/17 and d(10).
17
Let b(t) = -t**2 - 7*t - 5. Let u = -8 - -4. What is the smallest common multiple of b(u) and 4?
28
What is the common denominator of 4*-1 + 1503/270 and -7/15?
30
Let i(q) = -2*q - 4. Let u be i(6). What is the common denominator of 30/(-9)*9/u and 65/8?
8
Let l be -1*2/(-2)*1. Find the common denominator of l/2 - (-117)/(-12) and ((-89)/2 - 0) + -2.
4
Let x be ((-46)/(-20))/(1/2393). Let k(w) = 612*w - 1. Let a be k(-9). Let d = x + a. Calculate the common denominator of d and -75/2.
10
Let q be (-1206)/24 + 1/4. What is the common denominator of -93/2 and (15/q)/(12/(-218))?
20
Suppose 3*w - 39 = -a, w = 5*a - 32 - 83. Let y be (6/(-5499))/(2/a). Let u = 37239/2444 - y. Calculate the common denominator of u and -33/2.
4
Suppose -4*t - 15 = -4*g - 3, -4*g = 2*t - 24. What is the least common multiple of t and 18?
18
Let i be 0/2 - -2*158. What is the common denominator of (-3)/(-5)*i/(-48) and -11/12?
60
Suppose -4*p - 5*g = -6*g - 73, 2*p + 5*g = 31. Suppose 0 = 4*w + b - 12, b = 5*w - p - 6. Calculate the lowest common multiple of w and 22.
44
Let u = -43301/110 - -1973/5. Let t = -10 + 10. Find the common denominator of -3 - ((-21)/(-24) - t) and u.
88
Let r = -1564 + 25041/16. What is the common denominator of 75/44 and r?
176
Suppose 0 = 6*n + 9*n - 15. What is the lowest common multiple of 10 and n?
10
Let v = -30 + 50. Calculate the lowest common multiple of v and 12.
60
Suppose -35 = -3*x - 2*x. What is the smallest common multiple of x and 8?
56
Suppose -4*h - 504 = -3*w, -3*w + 6*w + 3*h = 525. Suppose 4*c = -4, 3*o + 3*c + c + 10 = 0. Calculate the common denominator of (-4)/o + w/(-8) and 101/8.
8
Let f = 5735/834 - 6/139. Let s(n) = -68*n**2 + n + 3. Let d be s(-4). Let t = d + 6409/6. What is the common denominator of t and f?
6
Let f(d) = -54*d**2 + 3*d - 3. Let l be f(-3). What is the common denominator of 41 and l/(-44) + 6/33?
2
Suppose 4*y - 6*v + v - 113 = 0, 3*v - 73 = -4*y. Suppose 5*x = 8 - 3. What is the lowest common multiple of y and 48/(-18)*(x - 4)?
88
Let m = 10 - 7. Suppose -3*i + 12 = -m*l, -i - 2 = l - 0. Calculate the common denominator of -125/18 and (i/(-3))/(10/351).
90
Let d(x) = -3*x**3 - x - 1. Let z be d(-1). Suppose 0 = b - z*b - 682. Let s = -2787/8 - b. Find the common denominator of -13/8 and s.
8
What is the common denominator of 64/3 and 2/(-8)*1*90?
6
Let j = 4 + -4. Suppose j = 8*u - 4*u + 376. Find the common denominator of -2 + 1 - u/(-20) and 19/6.
30
Let k(g) = -g - 1. Let a(m) = m. Let d(u) = 6*a(u) + 5*k(u). Let p be d(7). Suppose 0 = -p*j - j + 36. Calculate the least common multiple of 12 and j.
12
Let p(n) = n**2 - 8*n + 10. What is the lowest common multiple of 5 and p(7)?
15
Find the common denominator of 537/99 - (5 + (-2 - -1)) and -74/21.
231
Let h = -11 - -14. Calculate the least common multiple of h and 10.
30
Suppose 0 = -3*r - 2*r - 70. Find the common denominator of 49/2 and 7/r + (-83)/(-6).
6
Suppose -2*d = -6*d - 100. Find the common denominator of d and 38/11.
11
Suppose 3*j - 2*d + 125 = -4*d, 2*d = 5*j + 235. What is the common denominator of 5/(-5) + (-118)/(-24) and 230/j*(-2)/8?
36
Let x = -287331/25 + 11495. Let r = x - -83/450. What is the common denominator of -119/24 and r?
72
Let o = -224/19 - -8299/741. Let t = 3031/312 + o. Find the common denominator of t and 4/(-8) - (-13)/(-3).
24
Let w(z) = -2*z. Let t be w(-4). Calculate the smallest common multiple of 22 and 82/t - 4/16.
110
Let j(i) = -i**3 - i**2 + i + 4. Let n be (-14)/(-35) + (-4)/10. What is the least common multiple of 20 and j(n)?
20
Let x(r) = -r**2 - 9*r + 6. Let t be x(-9). Let n be 0/(4*3/t). Suppose -16 = -d - n*d. What is the least common multiple of d and 6?
48
Let k = -53/2 - -21. Let d = 80915871/10 + -8085109. Let j = d + -6473. Calculate the common denominator of k and j.
10
What is the common denominator of 37/18 and ((-7)/(-5))/((-4)/84*3)?
90
Let g = 46777/5892 + -11/491. What is the common denominator of 109/10 and g?
60
What is the least common multiple of 295/9 + 10/45 and 12?
132
Let f be (-1)/3*6038/(-6). Let o(n) = -6*n**3 + 3*n**2 - n + 3. Let u be o(4). Let j = f + u. Calculate the common denominator of 27 and j.
9
Let q(n) = n**3 + 6*n**2 + 6*n + 7. Let w(k) = k**2 + 8*k + 3. What is the smallest common multiple of q(-5) and w(-8)?
6
Let n = 806 - 11295/14. Find the common denominator of n and -83/12.
84
Calculate the smallest common multiple of 33 and 3/((1/36)/((-1)/(-3))).
396
Suppose -n + 0*n = p - 3, -2*n + 18 = -2*p. Let k = -24 + 34. Calculate the least common multiple of k and n.
30
Let n = -9 - -10. Let b(v) = 4*v - 1. What is the smallest common multiple of b(3) and n?
11
Let p = 2 - 10. Find the common denominator of 16/5 and 34/22*(-10 - p).
55
Suppose 4*b - 12 = -4. Let h = 26 - 16. What is the smallest common multiple of b and h?
10
Suppose 5*g + 4*r - 65 = 0, 0 = -3*r + 15. Let k = 29 - g. Calculate the common denominator of 0 - 1/(22/4) and k.
11
Let q = -2168 - -8601/4. Find the common denominator of (98/(-30))/((-18)/(-15)) and q.
36
Calculate the least common multiple of (-6)/(-2) - (-4)/(-4) and 2.
2
Let d = -8/5 + -9/5. What is the common denominator of d and 223/(-18) - 2/(-9)?
30
Suppose b + 13 = 3*n, 3*n + 3*b - 2*b - 11 = 0. Let s = 98 - 137. Let u = -23 - s. Calculate the least common multiple of n and u.
16
Let m = -16627/3480 - -305/174. What is the common denominator of m and 83/40?
40
Suppose 2*r - 210 = -5*v, v - r = -2*r + 39. What is the lowest common multiple of 20 and v?
220
Let c(i) = 3*i - 10. Let t = 6 - 2. Calculate the smallest common multiple of t and c(6).
8
Suppose 4*w = 2 + 6. Suppose -w*u + 40 + 16 = 0. Let s = 571643/56226 + -2/9371. Find the common denominator of u and s.
6
Let x be (3/1)/(-2 + 3). Suppose -7*k + x*k + 48 = 0. What is the smallest common multiple of k and 22?
132
Calculate the lowest common multiple of 112 and 2 + (2/(-10) - 404/(-20)).
1232
Let w = -90/33869 + -351254769/237083. Let d = 1478 + w. Find the common denominator of d and -56/27.
189
Let h = -7 + 27. What is the smallest common multiple of 12 and h?
60
Let q be (9/(-903))/((-9)/1038). Let f = 40185 - 1727857/43. Let v = q + f. What is the common denominator of v and 7/5?
35
Let m = -28 - -30. Calculate the smallest common multiple of 11 and m.
22
Let p = -16351/15 - -6475/6. Find the common denominator of 93/8 and p.
40
Suppose 5*r - 15 = -0*r. Let k be 1/r - (-124030)/4920. Let l = k - 176/41. What is the common denominator of l and -87/22?
44
Let m = -12 - -23. Suppose -m = -3*g - 4*s, 0 = -5*g + 3*s + s - 35. Let v = g - -7. What is the smallest common multiple of v and 4?
4
What is the common denominator of 3 + 0 + (-123)/6 and 10/3?
6
Let j = -9517 - -190391/20. Find the common denominator of 5/8 and j.
40
Let s be (-4)/14 - 46/(-14). Suppose -11 = -k - 4*r - 2, 14 = 4*k + 5*r. Calculate the smallest common multiple of k and (1 + (-4)/s)*-33.
11
Suppose 3*a = -v + 8 - 0, 5*a = -v + 14. Calculate the smallest common multiple of a and 15/6*(3 + -1).
15
Let h = -10624/7 - -1515. Find the common denominator of h and -6.
7
Let r(l) = l**3 + 6*l**2 - 7*l + 8. Suppose -5*z + 116 = -2*o, -o - 3*o + 98 = 5*z. Calculate the least common multiple of r(-7) and z.
88
Let k be 15/117*3/(-122). Let o = -238250213890475/14274 + 16691201750. Let q = k + o