-2).
48
Let c be (-1079)/((-5)/(10/(-4))). Let r = -564 - c. Let l = 77161/10 - 7707. What is the common denominator of r and l?
10
Let i be 4122/55 + (-4)/10. Let a be (-13373)/33*(-3)/(-16). Let f = a + i. Calculate the common denominator of -79/12 and f.
48
Suppose 0*f + 12 = 4*f. Suppose h = 5*v - 15, -v - 3*h - f = -2*h. Suppose 9 = v*x - 23. What is the least common multiple of x and 18?
144
Let u(r) be the second derivative of 5*r**3/6 - r**2 + r. What is the lowest common multiple of u(2) and 4?
8
Let n = 103 - 329/4. Calculate the common denominator of n and 79/16.
16
Let g(v) = 23*v**2 + 2*v + 1. Calculate the least common multiple of g(-1) and 10.
110
Let k = -23 + 37. What is the smallest common multiple of 160 and k?
1120
Let w = -152237131 - -289250538927/1900. Let k = 7983/87400 - 17/184. Let l = w + k. Calculate the common denominator of l and 25/8.
8
Let x(n) = 12*n**3 - 2*n**2 + 1. Let y = -1 + 3. Let r = y + -1. What is the smallest common multiple of 10 and x(r)?
110
Let p(k) = k**3 + 9*k**2 + k + 13. Let h = -3 - -1. What is the lowest common multiple of p(-9) and 12/20 + h/(-5)?
4
Suppose -4*k - b = -4 - 40, -b - 46 = -5*k. Calculate the lowest common multiple of 9 and k.
90
Suppose i - 41 = -5*o, -5*i + i - 2*o = -74. Calculate the smallest common multiple of 10 and i.
80
Let r = 6 + 24. Calculate the common denominator of (-4)/(-10) + 87/r and 6/11.
110
Let h(w) = w**3 - 5*w**2 + 7*w - 6. Suppose 4*x - 20 = -x - 2*i, -5*x = -3*i - 20. Calculate the lowest common multiple of h(x) and 2/8 + (-348)/(-16).
66
Let c = 14 - 6. What is the smallest common multiple of c and 24?
24
Suppose -w = -5*w + 80. Let n = -8 + -5. Let m = n + 27. Calculate the smallest common multiple of m and w.
140
Let u = -10993/266 + 716/19. Let p = -3131 + 18859/6. What is the common denominator of p and u?
42
Suppose 617 + 215 = 2*c + y, -3*c + 1262 = -2*y. Let i = c - 2118/5. What is the common denominator of i and -57/8?
40
What is the lowest common multiple of 14 and 8 + -5 + -1 + 3?
70
Let y be 4 - ((1 - -2) + -1). Suppose 10 = y*d - 2. Suppose -16*m + 23*m - 266 = 0. What is the common denominator of d and m?
1
Let k(t) = -16*t - 4. Let w be k(-3). Suppose s - w = -s. What is the least common multiple of s and 8?
88
Let t = -997 + 9931/10. Find the common denominator of t and -99/16.
80
Let i = -134582765/22 - -6118853. Let n = i + -1459. Find the common denominator of 7/10 and n.
110
Let d = -1010/9 + 8431/72. Calculate the common denominator of (-6)/4*(-83)/(-3) and d.
8
Let q(z) = -10*z**3 + 1. Let s be q(1). Calculate the lowest common multiple of 21/s*(-3 - 0) and 1.
7
Suppose -1 = -5*k + 2*b, 3 = -3*k - 4*b + 14. What is the common denominator of 321/6*k/(-5) and (-366)/80 + 2/10?
40
Suppose 5*p = 3*p + 4. What is the smallest common multiple of 10 and p?
10
Suppose 0 = -13*w + 9*w + 44. What is the lowest common multiple of 8 and w?
88
Let k(s) = s**2 - 13*s + 18. Let w be k(12). Calculate the common denominator of 95/(-12) + w/(-18) and 71/22.
44
Let q = 399050241/70072 + 130/8759. Let i = q + -5706. What is the common denominator of -4/5 and i?
40
Suppose 5*j = -3 + 23. Suppose -35 = -0*x - 5*x. Let q = x + -3. Calculate the lowest common multiple of q and j.
4
Let j = 4 + 5. Find the common denominator of 97/2 - j/(-9) and 3/20.
20
Let v(b) = -b**3 + 4*b**2 - b + 6. Let r be v(5). Let p = r - -36. Suppose p = 2*f - 2. Calculate the least common multiple of 3 and f.
21
Calculate the least common multiple of 4 and 2/1 + 2 + 0.
4
What is the common denominator of ((-5)/40)/(3/(-388)) and 0 - (-1)/((-14)/96)?
42
Let t = 8 + -22. Let q = t + 34. What is the lowest common multiple of (-129)/(-15) + 6/(-10) and q?
40
Suppose -2*b = t + 4*t - 301, 0 = b - 5*t - 128. Let c = b + -385/2. Calculate the common denominator of 119/20 and c.
20
Let p(j) = 3*j**3 + 3*j**2 - 3. Let n(b) = b**3 + b + 1. Let m(w) = -n(w) - p(w). Calculate the smallest common multiple of m(-2) and 12.
24
Suppose -3*n = 2*n - 145. Suppose -16 = -5*z + n. Calculate the smallest common multiple of 3 and z.
9
Suppose -d = -2*d + 4*g + 22, 5*d - 53 = g. What is the lowest common multiple of 10 and d?
10
Suppose 0 = 4*i - 4*g - 32, 2*i - g - 2*g = 20. What is the smallest common multiple of 4 and i?
4
Let j(b) = -b**2 + 5*b + 4. Let v be j(4). Calculate the lowest common multiple of 102/v - 12/16 and 12.
12
Suppose -f = 2*f - 5*l + 44, -32 = 3*f - 2*l. Calculate the common denominator of -2 + (2 - 219/(-42)) and (-2)/8 + (-71)/f.
56
Let f = -172 - -194. What is the least common multiple of f and 1?
22
Suppose -3*t - 8 = 7. Let z = -5083/2 - -2493. What is the common denominator of ((-19)/t)/((-4)/10) and z?
2
Suppose 2*p = -0*p + 4*f - 16, 4*p - 4*f + 12 = 0. What is the common denominator of -65/22 and p - -1 - 393/(-18)?
66
Suppose -37 = -2*g + 45. Let z be (-234422)/(-36216) + 2/(-9). Let d = z + -1/1509. Find the common denominator of g and d.
4
Let o = -1387049/30 + 46230. Calculate the common denominator of o and 73/24.
120
Calculate the common denominator of (-46)/(-48)*3 + -4 and -21/20.
40
Let k(z) = z**2 - z + 3. Let j be k(0). Suppose 0 = -2*i - j*i - 5, -4*g + 16 = 4*i. What is the smallest common multiple of g and 6?
30
Let w = -27 - -90. What is the lowest common multiple of 15 and w?
315
Let f = 177/586 + 204027/37504. Let w = f - 15/128. What is the common denominator of w and -67/10?
40
Suppose -3*l = 3*r + 93, 4*r = -0*l + l + 41. Calculate the common denominator of l/16 - (-6)/(-4) and (-55)/16 - (2 + -1).
16
Let r = 2213/620 - 119/62. Let q = -4 - -13. What is the common denominator of r and 3/q + (-229)/(-6)?
20
Let y(v) = v**3 - 6*v**2 + v - 4. Let b be y(6). Calculate the smallest common multiple of (-9)/18 + 11/2 and 2/b + 0 + 1.
10
Let m = 3034/3 + -1033. Calculate the common denominator of (-10)/45 + (-2235)/(-216) and m.
24
Let w = 64 + -20. What is the lowest common multiple of 36 and w?
396
Let h(u) = -u**3 - 2. Let r be h(0). Calculate the lowest common multiple of 10 and 16 - (-3 - (-3 + r)).
70
Let s = -7370359/18930 + 91/1893. Let z = -392 - s. Calculate the common denominator of 11/10 and z.
10
Let w = 185/9 - 21. Suppose 3*n = 2*n + 4*k + 22, 3*n = k + 66. Calculate the common denominator of 1 + -1 - (-14)/n and w.
99
Let x = 8 - 5. Suppose 0*u - 4*u + x*f = -100, -5*u + 4*f = -126. Suppose -64 = -4*g - 0*g. What is the least common multiple of g and u?
176
Suppose -m + 0*m = 2*s - 74, 4*s - 154 = m. Suppose -94 = -4*r - s. Calculate the lowest common multiple of r and 6.
42
Suppose -2*c + 128 = 2. Suppose 3*z + 174 = -2*z - 2*w, -2*z = 3*w + c. What is the common denominator of 27/8 and ((-490)/z)/(-5) + 0?
72
Suppose -2*z + 4*x = -20, -4*z + x + 64 = -x. Calculate the least common multiple of z and 36.
36
Suppose -3*t = -4*n - 42, -2*t + 0*n - 4*n = -48. Let f(z) = 4*z**2 + 2*z + 2. What is the lowest common multiple of (t + -4)/(0 - -1) and f(-2)?
14
Suppose -3 - 69 = 4*k. Let n = -21 + 35. What is the least common multiple of n and 12/(-14)*(-3 + k)?
126
Suppose 6*m + 0*m = 840. What is the common denominator of (2/(-22))/((-4)/m) and 51/13?
143
Let n(f) = f**3 - f**2 - 2. Let o be n(0). Find the common denominator of 95/12 and (-1221)/(-54) + o/(-9).
12
What is the common denominator of 91/10 and 561/14 + 52/(-91)?
10
Let a = -7 + 3. Let n = -2 - a. What is the least common multiple of n and 11?
22
Let n = 11 + -9. Suppose 0 = 5*r + 2*w + 1, 0 = -7*w + n*w - 15. What is the lowest common multiple of 2 and r?
2
Let s(z) = z**2 + z - 5. Let d be s(-4). Let f be -1 - 8 - 21/d. Find the common denominator of 426/4*(-2)/f and -109/20.
20
Let z = -461 - -69613/151. Let q = 1339/1510 + z. Find the common denominator of q and 6/(-15) - 2514/(-60).
10
Let g(z) = 37*z**2 + 4*z + 4. Calculate the lowest common multiple of g(-1) and 3.
111
Let z = -81/2 + 21. What is the common denominator of z and (-96)/9 - (1 - 0)?
6
Suppose -4*o = -2*c - 8*o - 18, 0 = -2*c - o - 6. Let z = 370 - 1487/4. Calculate the common denominator of z and (1/(-10))/(c/4).
20
Let q = 16 + -19. What is the common denominator of q/(-5) - 584/140 and -109/10?
70
Suppose 0 = 2*j - 4*j - 2*s + 62, 0 = 3*j + s - 87. What is the smallest common multiple of j and 36?
252
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