Suppose j - 48 = -3*k, -3*j - k = -98 - i. Calculate the lowest common multiple of 16 and j.
144
Let u = -6 - -9. Suppose 2*q + 1 = 3*v, -q - v = u*q - 5. Let n(d) = 27*d - 3. What is the lowest common multiple of n(q) and 2?
24
Let s be -5*((-35)/(-25) - 2). Suppose s*f = -3*i + 42, 3*i - 4*f = 4*i - 8. Calculate the least common multiple of i and 20.
80
Let c be (-1 - (-3858)/(-10))*6. Let n = c + 2312. Let k = -3/275 - -10489/3575. What is the common denominator of k and n?
65
Let l = 2/17611 - -1778691/176110. What is the common denominator of ((-6)/8 - -1) + (-10)/440*118 and l?
220
Calculate the common denominator of 50/(-28)*1302/(-39432) and -43/318.
1272
Let t(z) = 4*z + 2. Let j be t(-5). Let l = -30 - j. What is the common denominator of 57/5 and (-41)/8*l/(-9)?
30
Let g(h) = h**2 + 5*h + 5. Let b be g(-4). Let t be 2/(8/3)*-36. Calculate the common denominator of 139/6 and (b - t) + (10 - 8).
6
Let s = 14 - 10. Find the common denominator of 19/11 and (-26)/s*(0 - 1).
22
Let x(n) = n**2 - n + 44. Let f be x(0). Suppose f = -4*c + 124. Suppose -c = -5*s + 10. Calculate the least common multiple of 3 and s.
6
What is the lowest common multiple of (-38)/(-2) + 14 + -17 and 134?
1072
What is the common denominator of (-564)/(-160) + 14 + -18 and -77/24?
120
Let c be (-4)/1*(-9)/4. Suppose i + c = -2*i. What is the lowest common multiple of (i + 0)*(-2 - 1) and 7?
63
Let z(i) = i**3 - i**2 - i + 1. Let v be z(-1). Suppose 0 = -c - v*g - 5*g - 3, -c - 2 = 4*g. Calculate the lowest common multiple of c and 16.
16
Suppose k - 3*k = -5*w - 1164, 4*w = -2*k - 924. What is the common denominator of (w/24)/(2/6) and 92/66*18/(-12)?
11
Suppose 2*p = 4*n + 164, 6*n - 5*p = 2*n - 176. Let q = 72 - 44. What is the common denominator of n/(-15) + -2 + 4 and q?
5
Let g be 1 + 2 + 10684/(-3440). Let m = 1/172 + g. Let j = -336 + 997/3. What is the common denominator of m and j?
30
Suppose 80 = l + 11*m - 7*m, 0 = 4*m + 8. Calculate the lowest common multiple of l and 8.
88
Let w be 6/(-4)*(-8)/6. Let z(k) = 12*k - 2. Let r = 22 - 0. Calculate the smallest common multiple of r and z(w).
22
Let r(w) = w**2 + 4*w + 4. Let a be r(-4). Suppose 4*q - a = 8. What is the lowest common multiple of 4 and ((-2)/q)/((-4)/66)?
44
Let y = -27 + 29. Suppose 19 = -k - 5*h, -5*k = -0*h + y*h - 20. Suppose -2*l + 29 = 3*p, -4*l + k + 10 = 0. What is the least common multiple of p and 5?
35
Find the common denominator of 45/83 and ((-148)/(-24))/(2/(-8)).
249
Suppose 4*h - 177 = -5*z + 2*h, 3*h - 38 = -z. Calculate the smallest common multiple of 30 and z.
210
Let z = -85 - -115. Calculate the lowest common multiple of z and 210.
210
What is the lowest common multiple of (-1)/7 + (-1440)/(-280) and 5?
5
Let r = -288727/5030 - -1/1006. Let u = r - -4617/80. Let a = 1078/5 + -3927/20. What is the common denominator of a and u?
16
Let t(l) be the third derivative of -l**5/60 - l**4/2 - 11*l**3/6 + 24*l**2. What is the smallest common multiple of 21 and t(-5)?
168
Let b = -49 - -74. Suppose -5*s + b = -45. Let m = -9 - -21. What is the lowest common multiple of m and s?
84
Let n be 5/7 - 1 - 21372366/(-11247880). Let w = -9/2780 - n. What is the common denominator of -115/18 and w?
306
Let u = -1/403 + -15715/806. Let a = 224 - 144. Calculate the common denominator of a/3 - (6 - 4) and u.
6
What is the lowest common multiple of 3 and (354/(-5))/(80/(-200))?
177
Let v = 58 + -52. Suppose -d + 12 - v = 0. What is the least common multiple of d and 50?
150
Suppose 35*q - 227 = 18. Suppose -6*v + 6 = -3*v. Suppose 3*d + 2*c = d + 18, -v*d + 33 = 5*c. Calculate the smallest common multiple of q and d.
28
Suppose 11 = -4*j - 3*m, -j + 4 = -4*m + 2. What is the smallest common multiple of 1 + -1 + -1 - -19 and j/4*((-1 - -4) + -35)?
144
Suppose y = -0*o + 3*o - 15, -o - 2 = 2*y. Suppose 5*t = -2*k + 1, -3*k + o*t - 7*t = -6. Find the common denominator of 48/5 and k/2*(-33)/(-15).
10
Find the common denominator of -29/16 and 26/78 - 422/(-624).
208
Suppose 20 = -6*n + 11*n, 136 = 5*m + 4*n. Suppose -3*c + 3*y - 2*y = 87, -15 = -5*y. What is the common denominator of 59/22 and (-156)/c*(-4)/m?
154
Let n(t) = t**3 - 4*t**2 + 2*t + 2. What is the lowest common multiple of n(4) and 7 - (-11 - (-1 + -8))?
90
Suppose -2 + 8 = 3*h. Suppose 0 = -h*a + a + 14. Suppose 5*m - 16 + 6 = 0. What is the least common multiple of m and a?
14
Calculate the lowest common multiple of 141160/220 + 4/11 and 10.
3210
Calculate the least common multiple of 33 and 23 - (-9)/(81/(-45)).
198
Suppose -2*h + 1 = 5. Let f be (-14)/h + (-4 - -1). Suppose -5*w = -f*w - 8. Calculate the least common multiple of w and 5.
40
Let g(n) = -n**2 + 12*n + 16. Let z(c) = -c**2 + 11*c + 15. Let t(y) = -6*g(y) + 7*z(y). Calculate the lowest common multiple of t(5) and 9.
9
Suppose f + 7 - 2 = -h, 5*h - f + 13 = 0. Calculate the common denominator of 6/9 + 173/(-12) and (h - (2 - 4)) + (-57)/42.
28
Suppose -g - 2*g + 244 = b, -4*g - 5*b + 340 = 0. What is the lowest common multiple of 64 and g?
320
Suppose h + 0*u = 4*u + 16, 5*h - 42 = u. What is the common denominator of (4/(-6))/(2 - 68/h) and -115/18?
234
Let z(u) = 2*u**2 - 6*u - 20. Let p be z(8). Find the common denominator of 69/22 and (2/(-6))/(p/(-530)).
198
Let k(d) = -d**3 + 12*d**2 + 15*d - 23. Let c(m) = -m**2 - 14*m. Let u be c(-13). Calculate the smallest common multiple of 3 and k(u).
3
Let u be ((-2)/84)/((-32)/8378). Let g = u + -83/21. What is the common denominator of -31/44 and g?
352
Let d = 10 + -7. Find the common denominator of (-1265)/(-132) + 2/d and 103/42.
84
Let q = 24 - 16. Let a = 17 - q. Calculate the lowest common multiple of a and 7.
63
Suppose -222 = 7*r - 10*r. What is the lowest common multiple of 1 and r?
74
Let n = 2/10421 + 343879/72947. Calculate the common denominator of n and 43/114.
798
Suppose 5*x - 2*j + 0*j = 54, -3*x - 4*j = -22. Calculate the lowest common multiple of 38 and x.
190
Let w = 1247/10 + -381/5. Let y be 0 - (2 - 17)/5. What is the common denominator of w and -4 + ((-540)/8)/y?
2
Suppose 0 = 2*u, 2*u - 67 = -5*g - 22. Let i(m) = 4*m**2 - 6*m + 5. Calculate the lowest common multiple of i(4) and g.
45
Let u = -11718 + 796907/68. Find the common denominator of u and -69/170.
340
Let y(s) = -14*s**3 + s + 1. Let v(m) = -m + 7 - 7 + 9. What is the least common multiple of y(-1) and v(-9)?
126
Let v(x) be the third derivative of -5*x**4/24 - 5*x**3/6 - 2*x**2. Let g be v(-4). Let q = g - 9. Calculate the lowest common multiple of q and 1.
6
Suppose m - g = 4*g - 6, 16 = 3*m + 2*g. Let s(t) = -t**2 - 3*t + 12. Calculate the least common multiple of s(-4) and m.
8
Calculate the common denominator of (-224)/1617 + (-2)/(-22) and 27/2.
42
Let n(b) = b - 3. Let d be n(3). Suppose d = -2*i + 15 + 33. What is the least common multiple of i and 4?
24
Let d(v) = 7*v - 5. Let f(t) = 4*t + 2. Suppose -4*o - 2 = -10. Calculate the smallest common multiple of f(o) and d(3).
80
Calculate the common denominator of 79/20 and (-153)/(-14) - 36/9.
140
Suppose 0*p = 4*p + 1173120324. Let f = 58069589719/198 + p. Let s = f + -6040/9. Calculate the common denominator of s and -71/6.
66
Let q = 14 - 8. Suppose -30*n - 105 = -35*n. What is the least common multiple of 1 - 11/7 - (-306)/n and q?
42
Let j = 248345/224 - 8867/8. Calculate the common denominator of 117/28 and j.
224
Let w(j) = j + 6. Let y = -1463 - -1469. What is the lowest common multiple of y and w(-3)?
6
Let i(p) = 3*p**2 - p. Let g be i(-1). Suppose -32 = -4*s - g. Let j(x) = -x**3 - 7*x**2 - 8*x - 2. What is the smallest common multiple of j(-6) and s?
70
Suppose -2*b - 2 = 3*n, 0 = 4*n + b + 3*b. Find the common denominator of 2/7 and (-37 - -15)*n/9*1.
63
Suppose 5*t + 325 = b, 0 = 31*b - 36*b - 2*t + 1490. What is the lowest common multiple of 30 and b?
300
Let h be (32/(-144))/(1/(-9)). Suppose 2*j = -2*l + 54, -h*j = -3*l + 2*j + 46. Let p = 42 + -20. Calculate the least common multiple of l and p.
22
Let t = 10 + -20. Let m(f) = f**2 + 6*f - 2. Let g be m(t). Suppose 32 = 5*c - g. What is the least common multiple of c and 32?
224
Let h(k) = -3*k - 139. Suppose 3*p = -p + 16. Suppose 0 - 40 = -p*g. Calculate the lowest common multiple of g and h(-50).
110
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