-y = -2*j + 35. Suppose 0 = d + 7*d - 400. Calculate the smallest common multiple of d and j.
400
Suppose -w - 879 = -252. What is the common denominator of -14/11 and w/484 - (-6)/8?
11
Suppose 0 = 3*g + 2*a + 2*a - 12, 5*g = -3*a + 31. What is the least common multiple of 3 and g?
24
Let r be 4/(-14) + 274/28. Let w = r - 213/22. Find the common denominator of -121/6 and w.
66
What is the least common multiple of 9 and ((-3)/9)/((-2)/6)?
9
Let n = -31133/14 + 2225. Find the common denominator of n and 32/9.
126
Let n(o) = -o**3 - o**2 + 2*o + 2. Let x be n(-2). Suppose x*s - 116 = -2*s. Calculate the common denominator of 23/11 and s.
11
What is the common denominator of 19/4 and 2/(-5) - 121/(-40)?
8
Let b(s) = -32*s**2 + 10*s - 3. Let j be b(-10). Let k = -72631/22 - j. Calculate the common denominator of k and 6/(-4)*(-98)/18.
66
Let x = 9 + -5. Suppose 0 = -2*h - 5*w + 33, -4*w = h - 3*h - 12. Calculate the lowest common multiple of x and h.
4
Let k be -1 + 0 - (-44)/4. Let u be k/(-2)*(-6)/5. Let o = u - -12. Calculate the lowest common multiple of o and 20.
180
Let a = 223/2 + -88. Let o = 5533 - 55221/10. Find the common denominator of a and o.
10
Let w = -71697/5 + 1221497/80. Let r = w + -930. Calculate the common denominator of r and 77/6.
48
Suppose 0 = -2*j - 0*j + 4. Let b = 0 + j. Calculate the least common multiple of b and 16.
16
Suppose -195 + 6 = -7*v. What is the least common multiple of v and 6?
54
Suppose 5*p + 3 = -2, -2*n + 4*p = -16. Suppose -5*r + n = -4. Calculate the least common multiple of 2 and r.
2
Let u be 2/(-6) - (-87)/(-9). Let t(s) = -s**3 - 10*s**2 - s - 1. Calculate the least common multiple of t(u) and 7.
63
What is the smallest common multiple of 8 and -3 + (3 - -3) + 2?
40
Calculate the common denominator of 210/(-125) - (4 + -4) and 67/55.
275
Let x = -22 - -36. Let d(y) = -y. Let c(z) = -2*z. Let i(k) = 2*c(k) + 2*d(k). What is the smallest common multiple of i(-2) and x?
84
Suppose 8 = 2*x - 18. Let t = x - 7. Calculate the lowest common multiple of ((-44)/(-6))/((-1)/(-3)) and t.
66
Let u = -58 + 118. Suppose 2*i - u = -3*i. Calculate the least common multiple of i and 16.
48
Let s = -11784 + 164889/14. What is the common denominator of -73/126 and s?
126
Let g = 1/1792 + 2771/1792. What is the common denominator of -23/20 and g?
320
Let n = -18 - -23. What is the smallest common multiple of n and 9?
45
What is the common denominator of (-310)/(-24) + 0 - 3 and (-693)/(-54) - (-4)/6?
12
Let g = 278675/88 - 3167. What is the common denominator of g and -113/10?
440
Suppose 2*n + 3*s = -n + 33, -4*n = 5*s - 47. Suppose 5*d - n = 22. Calculate the smallest common multiple of d and (-182)/(-9) + 6/(-27).
60
Suppose 0 = -0*p + 2*p - 20. Suppose p + 8 = a. Suppose -3*b + 6*b = a. What is the least common multiple of b and 3?
6
Let p = 1/931 + -7050/931. Find the common denominator of p and 71/9.
63
Let k = -2/457303 - -5078349831/3658424. Let c = k + -1380. What is the common denominator of -1 + ((-4865)/100)/(-7) and c?
40
Let k(z) = z + 19. What is the least common multiple of 18 and k(-5)?
126
Suppose 4*n = -2*c + 20, -4*c + 72 = -4*n - 28. Let a = 40 - 26. Calculate the least common multiple of c and a.
140
Let g(q) be the first derivative of q**3/3 + 3*q**2 + q - 2. Let x be g(-5). What is the least common multiple of 1 and x + 8 + -2 + 2?
4
Let y = -5 - -10. Suppose 64 = y*f - f. Calculate the least common multiple of f and 18.
144
Let w = -5 - -7. Let p be (-4)/(-10) + 28/(-20). What is the lowest common multiple of 7 and (w + -13)*(0 + p)?
77
Let h be (1/14)/((-2)/23172). Let f = h - -829. Calculate the common denominator of f and 13/9.
63
Let d(h) = 2*h**2 + 2*h**2 - 3*h - 1 - 3*h**2 - 5. Suppose 3*i = y - 8, 2*y - 36 = 7*y + 4*i. Calculate the smallest common multiple of d(y) and 8.
88
Let z(b) = b**3 + 5*b**2 - 2*b - 7. Let c be z(-5). Suppose -72 = -0*o + c*o. What is the common denominator of -117/20 and 238/o - (3 + -4)?
60
Let z be 12/(-4) + (-1 - 62). Find the common denominator of 101/12 and (-98)/z - (-3)/(-18).
132
Let r = 4 + 9. What is the least common multiple of 16 and r + (-5)/(5/3)?
80
Let x(v) = v. Let h be x(-4). Calculate the common denominator of 2/4*(-79)/h and -17/12.
24
Calculate the common denominator of 101/12 and 4/(-1) + 981/276.
276
Let q = 2 - -3. Suppose 0*u + u = -4*h + q, 5*h + 25 = 5*u. Suppose h = -3*i + 2*i + 9. What is the smallest common multiple of i and 3?
9
Suppose -5*i = -10*i + 110. Calculate the common denominator of -38/7 and (-18)/4*(-8)/i.
77
Suppose 0 = 3*h + 2*f - 31, -h - 3 = -0*f - 2*f. What is the lowest common multiple of h and 3?
21
Let z be 680/282*(-9)/6. Let i = -5891/940 - z. Find the common denominator of 65/22 and i.
220
Suppose -c - 40 = -5*c - 4*v, -5*c - 2*v = -53. Calculate the least common multiple of c and 3.
33
Let b(q) = q + 8. Let v be b(-4). Suppose d = -5*n - 2, 5*d - n - 12 = -v*n. What is the least common multiple of ((-4)/d)/(4/(-6)) and 4?
4
Let i = 27 - 6. Calculate the lowest common multiple of 18 and i.
126
Find the common denominator of (-1)/2 + ((-273)/(-150) - 2) and 89/45.
225
Let s = 21532 - 646033/30. Find the common denominator of 49/20 and s.
60
Suppose q + 2*q = 15. Calculate the smallest common multiple of q and 24.
120
Suppose -8 = 3*i - 56. Suppose 0 = t - 5*t + i. Calculate the least common multiple of 2 and t.
4
Suppose 5*n = -4*j + 9, 4*j - 3*n - 36 = n. Suppose 3*b - 2*x = -4*x + 40, -4*x + 24 = 2*b. What is the lowest common multiple of j and b?
42
Let j = 11070533/16 + -691165. Let b = j + -744. Find the common denominator of -33 - ((-7)/2 + 3) and b.
16
Find the common denominator of -166*1/(-24) - 1 and ((-2)/3)/((-72)/(-834)).
36
Let i = 1 + -4. Calculate the lowest common multiple of 11 and -1 - i - (-1)/1.
33
Calculate the common denominator of (-1)/2 - 312/32 and -47/5.
20
Suppose 0 = 7*l - 4*l. Suppose -16 = -2*j - l*j. Calculate the least common multiple of j and 1.
8
Suppose 4*n = q - 10, -4*n + 0*q - 12 = -2*q. Let x(d) = -2*d + 1. What is the least common multiple of x(n) and 4?
20
Suppose 8*i = 4*i + 108. Calculate the least common multiple of 15 and i.
135
Let y be -2*1 - (-9 - -7). Suppose y = -3*r - 3, 0 = -f - 5*r + 7. Calculate the smallest common multiple of f and 4.
12
Let j(n) = -n**3 - 11*n**2 + 11*n - 5. Let h be j(-12). Suppose -u + h - 26 = -4*q, -u = -2*q + 11. Calculate the lowest common multiple of q and 2.
4
Let y(p) = 2*p**2 - p - 1. Let w be y(-1). Suppose z = -5 + w, -3*z + 27 = 2*n. What is the least common multiple of n and ((-2)/(-4))/(1/28)?
126
Suppose 8 = p + 2. What is the least common multiple of p and 16?
48
Let w = 235/234 + -55/26. Calculate the common denominator of 26 and w.
9
Let y(c) = 5*c**3 - 2*c**2 - 2*c - 1. Let m be y(-1). Calculate the common denominator of 2/(-44)*(m - -7) and (2 - 69/16)/(-1).
176
Let z be (-2)/1 + 91605/110. Let v = -831 + z. Let l = 489 + -9777/20. What is the common denominator of l and v?
220
Let d(i) = -i**2 - 15*i - 11. What is the smallest common multiple of d(-14) and 9?
9
Suppose 1 = 4*l + 5*f, -11 = -2*l - 0*l + f. Calculate the least common multiple of 5 and l.
20
Let d be 12/18 + 13/3. Suppose 20 + 5 = d*c. Suppose 3*q - 28 = -2*m, -c*q - 2*m + 0*m + 44 = 0. Calculate the smallest common multiple of 4 and q.
8
Suppose -2*f + 18 = 2*u, -u - 8 = -3*f + 31. Calculate the common denominator of ((-2)/f)/(40/84) and -25/14.
140
Let h be 4 + -4 + (2 - 8). What is the least common multiple of 5 and 3*(-1)/(9/h)?
10
Let o be (-3)/12 - 27915/(-16). Let a = o + -1741. Calculate the common denominator of 3 + 237/(-12) + 3 and a.
16
Let m(o) = 121*o + 17. Let v be m(5). Let q = v + -12379/20. Find the common denominator of -59/10 and q.
20
Let w be (0 - -3)*(6 - 4). Let x(o) = -o**3 + 6*o**2 + o. Let s be x(w). Find the common denominator of 103/6 and 1/(s/165*-4).
24
Let g(q) = q**2 - 5*q - 6. Let f be g(6). Suppose n + f*n = -4. What is the common denominator of n/(-16)*(-104)/(-6) and 93/8?
24
Let g(v) = -5*v + 32. Let l(z) = z**3 - 3*z**2 + 2*z + 1. Calculate the least common multiple of l(3) and g(5).
7
Suppose 0 = -3*u - 6, -5*v - 5*u = -2*v - 98. Suppose v = 7*o - o. Calculate the lowest common multiple of 10 and o.
30
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