 -67/14.
154
Suppose 0 = -c + 12. Calculate the smallest common multiple of 4/(-6) + 56/3 and c.
36
Calculate the common denominator of -55/7 and 174/(-28) + 2 + 6/(-4).
7
What is the common denominator of ((-56)/(-64))/((-2)/(-18)) and 2/2 + 32/9?
72
Let f be -6 - 0/(1/(-1)). Let n be (12/(-18))/(2/f). Find the common denominator of 25*3/(3*n) and 43/4.
4
What is the common denominator of -3*1/((-54)/(-29)) and -99/10?
90
Let q(l) = l - 7. Let i be q(-7). Let s = i - -22. Calculate the lowest common multiple of s and 20.
40
Let u = -19 + 31. Let a(c) = c**2 + 3. What is the least common multiple of a(-3) and u?
12
Let s = 53 + -1. Let f = s - 30. What is the lowest common multiple of f and 10?
110
Suppose r = -c + 2 + 14, 4*r = 2*c + 52. Let y = 18 - r. Calculate the least common multiple of y and 14.
28
What is the common denominator of -17/2 and -5 - (513/132)/(-1)?
44
Let k(c) = -c**2 + 5*c - 1. Let a be k(4). Suppose -213 + 906 = -a*q. Find the common denominator of -65/14 and q/54 + 1/1.
126
Suppose 14 = -5*c + 54. What is the common denominator of 7 and (-3)/(2*(-42)/c)?
7
Let l = 370849/55 + -6743. What is the common denominator of l and -23/30?
330
Suppose 2*j = -0*j + 6. Let p = 3 - j. Suppose -5*n + 2*l + p*l + 112 = 0, n - 24 = 2*l. Calculate the smallest common multiple of n and 12.
132
Suppose 6 = f + 2*f. Suppose 5*u - 2 = z - 8, 0 = 5*z + f*u - 138. Calculate the common denominator of -28 and z.
1
Calculate the common denominator of (-5 - -3)*92/72 and -23/10.
90
Let q(f) = -11*f. Suppose 2*x - 4*x = 4*i - 4, 4*i = 2*x + 12. Calculate the least common multiple of 14 and q(x).
154
Let n be (-1312)/6732 - (-6)/33. Let y = n - -13637/1530. What is the common denominator of y and 103/18?
90
Let m be 2/8 + 55/4. Suppose -1 = -3*g + m. Suppose 3*x + g*s - 50 = 0, 0 = -3*x + 2*s + 34 - 12. Calculate the lowest common multiple of x and 11.
110
Let g(x) be the third derivative of x**5/60 - 3*x**4/8 + 5*x**3/3 + x**2. Let y be g(7). Calculate the common denominator of y/(-10) + 341/60 and 83/2.
12
Let z = 1 - -3. Suppose -15 = -4*c + 9. What is the smallest common multiple of c and z?
12
Calculate the common denominator of -31/4 and (-1)/(-111)*-3*-40.
148
Suppose 3*i - 40 = i. Calculate the lowest common multiple of 18 and i.
180
Let i = 705 + -7061/10. Find the common denominator of -35/6 and i.
30
Suppose 0*c + 3*c = 270. Find the common denominator of -99/14 and 529/c + (-4)/(-10).
126
Let m = 9 - 2. Let z = -3 + m. What is the least common multiple of z and 9?
36
Let j = 2051 + -14386/7. Let m = -564193202/126621 - 632/11511. Let y = m - -4452. What is the common denominator of y and j?
77
Let d(h) = -h**3 + 3*h**2 - h + 1. Let m be d(2). Suppose -m*q + 8 = q. What is the smallest common multiple of 24/q*(-6)/(-12) and 3?
6
Let i = 54 - 32. Calculate the lowest common multiple of i and 20.
220
Suppose -24 = -4*v - 5*d, 0 = -2*d + 10 - 2. Let o = -22 - -10. What is the common denominator of (-10)/o - (1 - -1) and v?
6
Let g = 1/32646 + 127043/115599486. Let o = g + -414337/35410. Find the common denominator of -47/9 and o.
90
Calculate the smallest common multiple of 16 and -6*10/15 + 12*1.
16
Let w(v) = v**3 + v + 16. Let i be (0/(1 + -2))/(-1). Suppose -4*b + 2*b + 36 = 0. Calculate the least common multiple of w(i) and b.
144
Suppose 0 = 2*k - 5*k + 24. What is the lowest common multiple of 32 and k?
32
Let x(b) = -b**3 - 3*b**2 + 3*b. Calculate the smallest common multiple of x(-4) and 10.
20
Let m = -2 - -11. Calculate the lowest common multiple of m and 2.
18
Let w = 133768471/8477469 + -8/110097. Let c = w + -85/7. Let v = 2773/2 + -1356. What is the common denominator of v and c?
22
Let j(b) = 4*b**3 - 1. Let n be j(1). Find the common denominator of -6 + n - 145/(-14) and -2 + 1 - (-92)/24.
42
Suppose -3*l - 3*t + 969 = 0, 5*t + 1001 = 2*l + l. Let p = l - 935/3. Let h = 1642/3 + -13439/24. Find the common denominator of h and p.
24
Let i(x) = x**2 - x - 1. Let u(h) = 7*h**2 - h - 5. Let a(f) = -6*i(f) + u(f). Let z be a(-4). What is the lowest common multiple of 7 and (4/z)/((-2)/9)?
42
Suppose 8*d - 3*d + 740 = 0. Let b be -1 + 3 - 2445/d. Let k = -3/148 + b. Calculate the common denominator of k and -89/22.
22
Let v = 35965/208744 + -46/269. Let r = 46169/2328 + v. Calculate the common denominator of r and -91/6.
6
Suppose 2*d + 3 = 25. Calculate the least common multiple of 1 and d.
11
What is the common denominator of (-2)/(-36) + (-2)/9 and 61/8?
24
Let z(x) be the first derivative of -x**4/4 + 7*x**3/3 + 4*x**2 + 10*x + 4. Suppose -2*t + 0*t + 16 = 0. What is the smallest common multiple of z(t) and 11?
110
Let l = -137 - -144. What is the smallest common multiple of 9 and l?
63
Let x = -35/16066 - -128973954/56231. Let c(m) = -86*m**3 - 2*m**2 + 2*m - 2. Let w be c(-3). Let v = x - w. What is the common denominator of v and -79/2?
14
Suppose 6*o - 2 = 40. What is the lowest common multiple of o and 28?
28
Let b = 27 - 7. Let m(h) = -h**2 + 13*h - 10. Calculate the least common multiple of m(10) and b.
20
Let c(d) = -d**2 + 4*d - 4. Let s be c(3). Find the common denominator of (-305)/(-50) + 2 + s and 67/10.
10
Let b be 0 + 1 + -2 + 2. Let m be (474/(-4))/(b/(-8)). Let p = m + -3817/4. What is the common denominator of 39/20 and p?
20
Let c be (4/(-20))/((-4)/445). Let u = c - 18. Calculate the common denominator of u and -39/10.
20
Let y = -2/3153 - 16463/4204. What is the common denominator of y and (4 + (-102)/4)/(-11)?
132
Let m = 812/3 + -8776/33. Find the common denominator of m and (8/9 + -2)/(4/(-51)).
66
Let o = -1 + -5. What is the lowest common multiple of 5 and (-2 - 8)*o/15?
20
Let c = -7994 - -159771/20. What is the common denominator of 109/20 and c?
20
Let j be (0 + -2)*(-1)/(-2). Let g be j/(-2 - -3) + 15. Suppose 4 = -5*u + g. What is the least common multiple of u and 4?
4
What is the common denominator of -4*9/(-24)*556/36 and 1/30?
30
Let f = 94439/2236 + 8/559. Let k = 40 - f. Let y = -16081/6 + 2692. Calculate the common denominator of k and y.
12
Suppose 6*f - 8*f = -6. What is the lowest common multiple of 21 and f?
21
Suppose -o = -2*o + 15. What is the common denominator of 38/(-5)*25/(-35) and o?
7
Let v = 1983 - 1217. Let d = -6931/9 + v. Let m = -2018 - -16085/8. Find the common denominator of m and d.
72
Let i be ((-2)/56)/((-2)/(-67852)). Let y(s) = 408*s - 4. Let z be y(3). Let t = z + i. Find the common denominator of 77/6 and t.
42
Let v(h) = h**2 - 9*h - 14. Let f be v(11). Calculate the common denominator of -111/20 and (1596/54)/(f/(-6)).
60
What is the common denominator of -1/50 and (-675)/126 - 3/(-7)?
350
Let h(l) = l**2 + 4*l + 3. Let s be h(-4). Let c be ((-3)/12)/(s/(-12)). What is the least common multiple of 2 and c + -4 - (-8 + 2)?
6
Suppose -v - 5*o + 15 = 0, -3*v + 2*v + 5*o - 15 = 0. Calculate the common denominator of 0 + v - (-6)/27 and -83/8.
72
Let g = 2 + 10. Find the common denominator of g/(-30) - (-477)/80 and -17/4.
16
Calculate the common denominator of 131/24 and (-9)/39*9/(-12).
312
Let p be ((-98)/5)/((-11)/1525). Let v(q) = -2715*q - 2. Let y be v(-1). Let w = p - y. Calculate the common denominator of 14 and w.
11
Calculate the smallest common multiple of 8 and ((-6)/(-8))/((-1)/48*-2).
72
Let m = 25/242 - -5443/605. Let v be 4/((-1)/(-1 + 3)). Find the common denominator of m and -3 - -2 - 106/v.
20
Let w = -14 - -34. Calculate the least common multiple of 6/(-5)*(0 - (-30)/(-9)) and w.
20
Suppose -4*w + o - 18 = -o, w - o = -7. Let y be (w + -7 - -3)*1. What is the lowest common multiple of ((-27)/y)/(6/8) and 14?
42
Let m(f) = 2*f**2 - 3*f + 2. Let r be m(2). Let x = 16 - r. Calculate the lowest common multiple of 46/2 + (-4 - -3) and x.
132
Let z(n) be the first derivative of n**2/2 + n - 2. Let b be z(-1). Suppose 0 = -b*y - 3*y + 24. Calculate the least common multiple of 20 and y.
40
Let y = -6/3236867 - -518031431643/51789872. Let r = -10007 + y. Calculate the common denominator of 37/16 and r.
16
Suppose -2*g = 3*g - 75. Suppose 46 = 5*r - 2*f + g, -3*r + 4*f = -13. Suppose -5*y + 24 = 14. What is the lowest common multiple of r and y?
14
Let a = 4 + -4. Let l = a - 2. Find the common denominator of -71/22 and (-1)/(l + 192/69).
198
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