. What is the lowest common multiple of ((-10)/(-5))/(1 + y) and 3?
3
What is the least common multiple of (-1)/1*-7 - -2 and 135/54*3*2?
45
Let o be ((-7)/28)/(2/(-16)). Let b(p) = 2*p**2 - p + 2. Calculate the least common multiple of b(o) and 1.
8
Suppose 2*f - 10 = 5*r, 5*f = 3*r + 21 + 4. Suppose -4*b + 12 = -r*b. What is the lowest common multiple of 805/92 + b/(-4) and 6?
24
Let x = -5375/3 + 214823/120. Find the common denominator of x and 8/44 + 0 + 826/1144.
520
Let d = 20284 - 811461/40. Calculate the common denominator of -13/48 and d.
240
Let j(r) = 3*r**2 - 7*r + 1. Let k(q) = q**2 - 17*q + 3. Let i be k(17). What is the smallest common multiple of j(i) and 6?
42
Let n(z) = -3*z. Let j be n(-1). Let b = j + 2. Let g = b + 1. What is the lowest common multiple of 16 and g?
48
Calculate the common denominator of (-18 + 23)*-1 - (-418)/56 and 39/140.
140
Suppose 5*a = f + 31, -26 = -4*a - 0*a + 2*f. What is the least common multiple of 36 and a?
36
Let a(j) = j**3 + 5*j**2 - 6*j + 4. Let d be a(-6). Calculate the common denominator of 21/8 and (-2480)/168*(-1)/d.
168
Calculate the smallest common multiple of (-633)/(-18) + 16/(-96) and 215.
1505
Suppose -3*v - v - 5*x + 52 = 0, x = 3*v - 20. What is the least common multiple of v and (12 - (7 + -15)) + (9 - 9)?
40
Calculate the common denominator of -121/18 and ((-894)/(-8)*1)/((-333)/74).
18
Suppose 65 - 245 = -5*h. What is the least common multiple of 6 and h?
36
Let i(f) = 4*f + 57. Let l(q) = -q - 19. Let h(v) = -2*i(v) - 7*l(v). What is the least common multiple of 4 and h(-7)?
52
Suppose 5*i + f + 149 = 0, -2*i - 33 = 4*f + 23. Let u = i + 42. Suppose 1 = -l + 3*s + 8, -2*s - 22 = -5*l. Calculate the least common multiple of l and u.
12
Let j = 15 - 5. Calculate the common denominator of 1 + 0 + (-4)/j and 24.
5
Suppose -6 = -q - q. Suppose 0*o - 1 = -o + 3*r, 0 = -5*o + q*r + 65. Calculate the least common multiple of o + (0/(-2))/(-4) and 20.
80
Let k(d) be the second derivative of -d**3/2 + 55*d**2/2 - 19*d. Let h = 29 - 15. Calculate the least common multiple of k(17) and h.
28
Let c = 127 - 107. Suppose 4*w - 108 + 20 = 0. Calculate the least common multiple of w and c.
220
Let x = 362387229780/1138088320567 - -8/78711413. Let n = x + -2/761. What is the common denominator of n and 33/2?
38
Let x be 16/(-40) + 54/10. Suppose 0*k - k - x*i = 17, 0 = 5*k + 5*i - 15. Let j = k - -6. What is the smallest common multiple of j and 8?
56
Suppose 3*h - 6 = 0, 0*h = -4*c - 5*h + 66. Let o(j) = -j**3 + 2*j + 1. Calculate the lowest common multiple of (-4)/c - 624/(-28) and o(-3).
22
Let u = -269 - -279. Let q = -1 - -5. Calculate the smallest common multiple of q and u.
20
Suppose -11*g + 36 = g. Let c = -3 - 5. What is the least common multiple of (-1 + -2 - c) + 2 and g?
21
Let g = -1425 + 10016/7. Let u(x) = 9*x**2 + x + 2. Suppose -y + 0 = 2. Calculate the common denominator of u(y) and g.
7
Suppose 0 = 4*c - r - 10533, 2*r - 9 = -r. Let j = c + -31643/12. What is the common denominator of j and 16/21?
84
Let o(u) = -u**2 + 30*u - 116. Calculate the smallest common multiple of 444 and o(25).
1332
Suppose -21*d + 2*d + 380 = 0. What is the lowest common multiple of 12 and d?
60
Let y = -1180015 - -11787817/10. Let l be (-1)/(1 + -2) + -1231. Let k = y - l. What is the common denominator of k and 25/12?
60
Let u be 3/6*20/(-13045). Let y = u + -117389/20872. Find the common denominator of -3 and y.
8
Calculate the common denominator of (-1)/1 + (-5)/(-2) and 2/(-6)*(325/(-15) + 4).
18
Suppose -3*y = -18 - 9. Suppose -430 = y*i - 14*i. Calculate the least common multiple of i and 12.
516
Let z = -3035 + 24373/8. Let c(i) = -6*i - 5. Let y be c(6). Find the common denominator of (-2)/(-32)*y + 0 and z.
16
Suppose 4*s - 4*b = -38 + 130, -s + 2*b + 28 = 0. Let g(h) = -2*h**3 - h**2 - 3*h + 2. What is the smallest common multiple of g(-3) and s?
504
Suppose o = u, 4*o - 21 - 11 = -4*u. Let p be 3 - (1 + 0) - -10. Let a(c) = -c + 15. Calculate the smallest common multiple of o and a(p).
12
Let r = 2/539 + 23137/10780. What is the common denominator of r and 71/2?
20
Suppose -5*l - 665 = -2*q + 843, 2*l + 620 = 5*q. Calculate the common denominator of l/(-8)*(-2)/(-32)*2 and -27/14.
112
Let s = -5491 + 109781/20. Let z = s - -41/5. What is the common denominator of z and 3672/(-304) + 130/13?
76
Calculate the common denominator of 20/9 and 144/(-21) + 0 + 5.
63
Let y(g) = g**3 + 7*g**2 + 2. Let s be y(-7). Suppose -32000 + 2222 = s*z. Let j = z + 208333/14. What is the common denominator of -123/10 and j?
70
Suppose -2*m = -5*k - 18, 2*m + 2*k + 0*k - 4 = 0. Suppose -59 = -m*y + 5. Calculate the least common multiple of y and 16.
16
Let m = 5537893/21 - 263494. Let v be 1250/6 + 2 - 0. Let r = v - m. What is the common denominator of 85/18 and r?
126
Let d(o) = 3*o**2 - 5*o - 26. Calculate the smallest common multiple of d(-3) and 384.
384
Let n = 105485/403656 - -2/50457. Calculate the common denominator of 59/14 and n.
616
Suppose -t - 5*n + 22 = -13, -5*t + 65 = 3*n. Let s(m) = 3*m - 44. Let j be s(28). Let c = j + -29. What is the least common multiple of c and t?
110
Let g(j) = -25*j - 5. Calculate the least common multiple of 210 and g(-1).
420
Let m = 125741/20 + -6283. What is the common denominator of m and -75/14?
140
What is the lowest common multiple of 52 and (1 - 39/33) + 2451/473?
260
Let y = 1089/10 - 439/4. Let q be (-3)/((-10)/4 - -1). What is the common denominator of y and ((-18)/66)/(q/(-27))?
220
Suppose 1 = -2*t + 15. Suppose -i - 1 = -t. Calculate the smallest common multiple of 4 and i.
12
Calculate the common denominator of -85/6 and (148/32)/(8 - 9).
24
Suppose 3*l = 7*l - 24. Suppose 10*b = 13*b + 9. What is the least common multiple of b*(-2)/l*8 and 1?
8
Suppose 3*b + 167 + 121 = 0. Calculate the least common multiple of 9 and 3/(-5) + -1 + b/(-10).
72
Let u be (-16)/(-6)*6*(-2)/4. What is the smallest common multiple of (16/3)/(u/(-24)) and 46?
368
Let h be (100738/440)/((-1)/2). Let i = -452 - h. Calculate the common denominator of -11/16 and i.
80
Let s be 2 + (-378)/313 + -2. Let h = -413650/341483 - s. Let x = h + 108049/10910. Find the common denominator of x and 49/26.
130
Find the common denominator of (-1827)/540 - -7 - (-1)/(-4) and 71/54.
270
Let w = 10 + -4. Suppose -4*i = -2*p - 8, -4*i - 3*p + w*p + 6 = 0. Suppose 1 = -2*n + i. What is the least common multiple of 2 and n?
2
Suppose 16*w - 20 = 140. Calculate the lowest common multiple of -4*((-20)/8 - -1) and w.
30
Find the common denominator of ((-345)/10)/((-756)/35) and 77/32.
288
Suppose -5*y + 5*n + 340 = 0, 4*n = 2*y + 3*y - 342. What is the lowest common multiple of 42 and y?
210
Suppose -2*s + 7*s - 34 = -3*w, 0 = 2*w - s - 14. What is the least common multiple of w and (-400)/(-60)*6/4?
40
Suppose -2*n - 1858 = -4*q, 4*q + 5*n - 56 - 1837 = 0. Let w = 2815/6 - q. Find the common denominator of -3/2 and w.
6
Suppose -y - 3*h - 8 = 0, -5*h = -0*y + 2*y + 15. Let f(j) = 3*j**2 + 13*j + 8. What is the smallest common multiple of 30 and f(y)?
90
Let f(v) = -v - 6. Let j be f(-8). Find the common denominator of (j/(-12))/(65/(-1209)) and -137/6.
30
Let y = 311269/45 - 6918. Find the common denominator of y and -63/10.
90
What is the common denominator of (-1)/324*(1141/(-14) - 7) and -99/10?
1080
Suppose 0 = 2*j + 3*d + 17, 3*j - 5*j = -5*d - 23. Let o = 2 - j. What is the lowest common multiple of o and 10?
30
Suppose 18 = 5*x - 2. Suppose 3*k - d = -k + 39, -4*k + x*d + 24 = 0. What is the smallest common multiple of k and 9?
99
What is the least common multiple of 20 and -1 + (-1253)/(-14)*6?
2680
Let f = 1281 - 1236. What is the least common multiple of f and 6?
90
Calculate the smallest common multiple of 18 and ((-22)/(-8)*-1)/((-35)/560).
396
Let d(x) = 5*x**2 - 7*x + 4. Let i = -2751 + 2763. Calculate the smallest common multiple of d(-6) and i.
1356
Suppose 5*h = -s + 31, -5*s = -2*h - 2*h - 184. What is the common denominator of 51/13 and s/8*8/14?
91
Let s = -3527 + 70589/20. Calculate the common denominator of s and -11/20.
20
Let h(l) = l**3 + 14*l**2 + 22*l - 19. Let k = 2278017/59 + -38612. Let w = -6347/590 + k. What is the common denominator of h(-12) and w?
10
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