and s.
16
Let q be (534/(-4))/(22/(-4)). Let r = q - -247/22. What is the common denominator of r and 5/7?
14
Let d = 90635/199794 + -6/4757. Calculate the common denominator of d and 39/8.
168
Suppose 5*j - 32 - 68 = 0. Let d = 7 - 1. Calculate the smallest common multiple of d and j.
60
Let k = 110/73 + -5409/1022. Let x be ((-16)/(-10))/((-2)/10). Calculate the common denominator of k and ((-57)/(-9))/(x/(-18)).
28
Let f(s) = 2*s**3 - 2*s**2 - 2*s - 1. Let d be f(-1). Let g = d + 5. What is the smallest common multiple of 5 and (1/g)/(3/30)?
5
Let y = 193 + -5403/28. Find the common denominator of y and -43/36.
252
Let n(a) = a**2 - 9*a + 12. Let r = 1 + 13. Calculate the least common multiple of n(9) and r.
84
Suppose 25 = 4*c + 5. Suppose c*j + 5*p = -1130, -5*j + 3*p - 840 - 306 = 0. Find the common denominator of -103/12 and (1/8)/(30/j).
60
Let t be 1/(((-1)/(-5))/(-1)). Let y = -20 - t. What is the smallest common multiple of 3 and 4/5*y/(-6)?
6
Let h(t) = t**2 + t - 2. Calculate the smallest common multiple of h(-4) and -2*3*(-10)/12.
10
Suppose 5*b + l = 4*l + 59, 7 = b + l. What is the smallest common multiple of (-12 - -26) + -3 + 5 and b?
80
Suppose -6*h = -9*h + 42. What is the smallest common multiple of h and 34?
238
Suppose -2*g - 5*m + 43 = g, -13 = 2*g - 5*m. What is the least common multiple of 10 and g?
30
Let x = -84/11 - -1117/44. Calculate the common denominator of -61/6 and x.
12
Let l(d) = -51*d**3 + d**2 - d. Let m be l(1). Calculate the common denominator of 3 + 0 + 66/m and -37/4.
68
What is the smallest common multiple of (-2 - -1)*1 - -3 and 10?
10
Let o = -9 - -20. What is the lowest common multiple of (-7 + 10)*4/6 + 8 and o?
110
Calculate the common denominator of ((-33)/(-8) - -1) + 4 and -109/44.
88
Suppose -70 = -5*c - 2*a, -c - 3*a = a - 32. What is the lowest common multiple of 16 and c?
48
Let c be (9/32)/((-390)/(-1928)). Let z be (-63)/130 + 1/2. Let g = z - c. Find the common denominator of g and 85/2.
8
Let j = 5 + -2. Suppose 25*g + 72 = 33*g. Calculate the least common multiple of g and j.
9
Find the common denominator of (-110)/2*(-4)/(-50) and -27/14.
70
Let o(m) = 2*m**2 + 21*m + 19. What is the lowest common multiple of o(-10) and 6?
18
Let f = -3434 - -75499/22. Find the common denominator of (-118)/88 - 61/244 and f.
22
Let z = -10 + 6. What is the common denominator of (511/28)/((-9)/z) and 27/10?
90
Suppose 4*y - 6*y = 2, 5*p - y - 6 = 0. What is the smallest common multiple of p and (-4)/(-6) - 182/(-42)?
5
What is the common denominator of -8 - -12 - (-30)/4 and -95/26?
26
Suppose 5*q + 48 = t, -t = 2*t - 9. What is the common denominator of -103/14 and 43/10 + q/(-3)?
70
Let d = -5 - -6. Let f be -6 + d + (3 - 4). Let z = 12 + f. What is the lowest common multiple of z and 5?
30
Let w = -2 - -3. Suppose -12*r + 7*r + 4*p + 15 = 0, 0 = r + 5*p - 32. What is the smallest common multiple of w and r?
7
Suppose 4*p = -p + 40. Let n be (7/(-14))/((-2)/p). Suppose n*v - 17 = 15. Calculate the least common multiple of v and 8.
16
Suppose k - 42 = -2*k. What is the least common multiple of 22 and k?
154
Let o(l) = 2*l**2 - 8*l + 4. Calculate the least common multiple of 104 and o(5).
728
Let l = 2707/1050 + -1/150. What is the common denominator of 3/2 and l?
14
Let r = -227/75 + 9/25. Find the common denominator of -37/15 and r.
15
Suppose -5*k = 2 - 12. Suppose 5*b + 26 = 5*d + 96, -4*d + 52 = k*b. Calculate the smallest common multiple of b and 16.
144
Suppose -12 = 12*t - 156. What is the smallest common multiple of 2 and t?
12
Let q(i) = -319*i**2 - 5*i + 3. Let m be q(-5). Let b = m - -158999/20. What is the common denominator of 17/20 and b?
20
Let j = -1559/4 + 121583/312. Calculate the common denominator of 55/8 and j.
312
Let r = 37 + -21. Let s(g) = -g**2 + 10*g - 17. What is the lowest common multiple of r and s(7)?
16
Suppose 4*w - d = 0, 3*w - 5*d = -2*w - 15. Let u = 4 - w. Calculate the common denominator of u and 56/11.
11
Suppose 2*x = 5*x - 15. Suppose -x*w + 33 = -7. What is the common denominator of 31/7 and 2174/(-264) - w/44?
84
Let u = -63353/2511 + 1619/62. Find the common denominator of u and -107/12.
324
Suppose -2*r + 258 = -5*k, 4*k + 107 = 2*k - 3*r. Calculate the common denominator of (3/(-48))/(5/k) and 115/6.
60
Let w be (-1 + 1)*(-7 - -6). Suppose 3*i - 27 = -w*i. What is the least common multiple of 7 and i?
63
Let l = -117 + 69. Calculate the smallest common multiple of 4 and (-4)/(-10) - l/5.
20
Let x be (2/4)/((-3)/(-12)). Suppose -h = x*h - 12. Let k = 22 - h. What is the smallest common multiple of 14 and k?
126
Let o be (-8)/1390*(-30)/(-4). Let b = o - -6823/278. What is the common denominator of (1 - 86/18)/(-2) and b?
18
Let x = 9/70154 + 581331085/280616. Let w = x - 2076. Calculate the common denominator of 29/8 and w.
8
Suppose -5*f + 0 = -5. What is the common denominator of f + ((-1652)/(-24))/(-7) and 151/6?
6
Let p be ((-586929)/10)/(-7) - 3. Let l = -8370 + p. What is the common denominator of l and (-1)/(-3) - 136/18?
90
Let h = -67 + 69. What is the lowest common multiple of 20 and h?
20
Let i(c) = 5*c - 18. Suppose r - 88 = d - 5*d, 4*r + 66 = 3*d. Calculate the least common multiple of i(8) and d.
22
Find the common denominator of 49/9 and ((-49)/5)/(1/(-5) + -1).
18
Suppose -3*w - 29 = 5*s, 0*w + 5 = -w + 3*s. Let c(t) = -2*t - 12. Let y be c(w). Calculate the common denominator of -81/22 and y/(-18) - (-374)/(-72).
132
Suppose 7 = 3*h - 2. What is the least common multiple of 3/(1 + 6/h) and 3?
3
Suppose 3*x - 2 = 4*z + 8, 3*z = -3*x + 3. Suppose 0 = 3*i + 3*d - 12, -5*d = -7*i + 2*i + 10. Calculate the least common multiple of (x + 4)/(1 - -1) and i.
3
Calculate the common denominator of 0 - (-1 - (-43)/(-18)) and (-63)/15*12/72.
90
Let y = -395275/34 + 11623. Find the common denominator of y and -93/10.
170
Let f = -29 + 5. Calculate the common denominator of 103/22 and -139*2/f*1.
132
Let a = -10 + 14. What is the smallest common multiple of a and 8?
8
Let x be (-4)/(-10) + 140/25. Suppose -3*k + x*k + 6 = 0. What is the least common multiple of 6 and 6 + -1 + k/2?
12
Let j = -13/5 + 117/70. What is the common denominator of j and -115/14?
14
Let m = 4 + -11. Let y = m + 17. What is the lowest common multiple of 16 and y?
80
Let a be ((-4)/5)/(2/(-5)). Suppose 2 = z, 0 = 4*w - 5*z - a + 4. Suppose -5 = 3*t + 5*k, 0 = -0*k - k - 4. What is the least common multiple of t and w?
10
Let j(v) = v + 14. Let d = -6 + 10. Suppose d = 3*b + 34. What is the lowest common multiple of j(b) and 6?
12
Let o(s) = 6*s**2 + 3*s + 1. Let q be o(-2). Suppose 0 = -b + 4 - 1. Suppose -b*p + q = -35. Calculate the least common multiple of 20 and p.
180
Let h be -4*(-1)/((-4)/(-5)). Suppose 3 = 2*d - h. Calculate the common denominator of 5/8 and -3 + d + (-3)/2.
8
Let z = 16 - -2. What is the least common multiple of (-284)/36 + 8 + 125/9 and z?
126
Let i be (-6)/(-27) + 114/(-27). Let g = i - -8. What is the smallest common multiple of g and 12?
12
Let l = 3/94 + -303/658. Suppose -3 - 3 = -2*t. What is the common denominator of 8*2/t + 1 and l?
21
Let l be 4/14 + (-12)/42. Suppose -4*s - 5*c + 41 = l, 4*s - 5*s + 29 = 5*c. Calculate the lowest common multiple of 10 and s.
20
Let u be (8/6)/(4/18). What is the smallest common multiple of 88/12*u/4 and -1*(-1 - -2) + 11 + -6?
44
Let n be (25625 + -1)*3/6. Let o be (-4)/10 + n/280. Let u = o + -3316/63. Find the common denominator of 93/10 and u.
90
Let t(p) = 4*p - 3. Let w(h) = 2*h + 6. Let g be w(-5). Let v be t(g). Let q = v - -27. What is the least common multiple of 16 and q?
16
Let f = 4 - -17. Suppose 3*n - 9 = f. What is the lowest common multiple of n and 18?
90
Let p be (-4)/14 - (-90)/21. Let d be (1 - p)/((-21)/(-28)). What is the least common multiple of ((-30)/1)/(6/d) and 10?
20
What is the common denominator of (-2)/(-12) + (-13)/(-5) and -37/55?
330
Suppose 0 = -0*b - 4*b + 12. Suppose -b*q + 31 = 4*g, 5*g - 3*q + 1 - 6 = 0. What is the smallest common multiple of 6 and g?
12
Let k = -3161 - -25341/8. Find the common denominator of 1/2 and k.
8
Let m(b) = -429*b**3 + 2*b - 1. Let w be m(2). Let n be 2/6 - (-13810)/4. Let u = w + n. Calculate the common denominator of u and -53/10.
30
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