 is the smallest common multiple of 20 and 4*(44/8 + -2)?
140
Let b = 16101/10 - 1612. What is the common denominator of b and ((-46)/(-10))/((-16)/(-40) - -4)?
110
Let f(t) = -t**3 + 4*t**2 - 3*t + 1. Let h be f(3). Let c be -2*(54/52 - h). Let u = 7/78 - c. What is the common denominator of -73/12 and u?
12
Let w be (14/(-2))/(46/(-182)). Let j = w - -40331/115. Let k = -376 + j. Find the common denominator of 101/8 and k.
40
Let v be (-760)/14 + -5 + 5. Let m = 426/7 + v. Calculate the common denominator of m and 13/8.
56
Suppose 0 = 2*z - z - 1. Calculate the lowest common multiple of 5 and z.
5
Find the common denominator of (30 - -8)*(-1)/32 and -9/4.
16
Let b(p) = p**2 - 9*p + 11. Calculate the smallest common multiple of 9 and b(8).
9
Suppose -24 = -4*x + 4*n - 3*n, 0 = -4*x - 3*n + 8. Suppose -5*p - 35 = -6*y + y, 0 = -x*y + 3*p + 41. Calculate the least common multiple of 4 and y.
20
Let u(r) = 7*r**2 - 6*r - 6. Let l be u(-4). Let h = -90 + l. Suppose 7*g - 2*g - h = 0. What is the least common multiple of g and 12?
24
Suppose 0 = -2*s - 10, 4*o + 4*s = 5 - 13. Suppose 0 - 18 = -o*c. Suppose c = j - 0. What is the least common multiple of j and 7?
42
Let d = -6 - -10. Suppose 0 = -k + d*k - 60. Let m = -1 - -15. Calculate the lowest common multiple of m and k.
140
Let j = -46105/14 + 3295. Calculate the common denominator of j and -89/22.
154
Let m(q) = -q - 7. Let l be m(-11). Suppose -5*i + l*r + 62 = 0, 2*i - 2*r + 0*r - 26 = 0. What is the least common multiple of i and 11?
110
Let f = 30596 + -1311. Let j = -585579/20 + f. Calculate the common denominator of j and -107/22.
220
Suppose 45 = 4*o + o. Calculate the least common multiple of o and 77.
693
Let v = -208499/22 + 9482. What is the common denominator of v and 33/20?
220
Suppose 2*h - 19 = -o, 0*o - 2*o + 22 = -4*h. Calculate the least common multiple of 12 and o.
60
Let k = -13/20 + 203/220. What is the common denominator of k and -76/3?
33
Calculate the common denominator of (-64 - (-2 - -3))/22 and 57/20.
220
Let b = -927/5 + 6784/35. Let w = 948/13 - 3403/39. Find the common denominator of w and b.
21
Let x(l) = 4*l - 6. Let n(z) = z**3 + 6*z**2 + 6*z. Suppose 7*k + 16 = 3*k. What is the smallest common multiple of n(k) and x(7)?
88
Let a = 2111/12 - 337/2. Let u be (1/(-1))/20*-17454. Let h = -870 + u. Find the common denominator of a and h.
60
Let y = 16 - 14. Find the common denominator of (13/(-5))/(-1*y) and 64/9.
90
Let t = 2342 - 25798/11. Find the common denominator of t and 67/2.
22
What is the least common multiple of 14 and 6/1 + 8 + -8?
42
Suppose 12 = -0*v + v. Suppose -v = -4*l + 20. Calculate the lowest common multiple of 16 and l.
16
Let t = 78 - 32. Suppose 14 = b + 5*w, 0*w + 3*w = b - t. What is the least common multiple of b and 8?
136
Let g = 3775/44 + -349/4. Find the common denominator of g and -17/7.
77
Suppose -3*u = -8*u - 5*h, 0 = -h - 5. Suppose 14 = 3*x - 2*t, -u*x = -4*x + t - 8. What is the smallest common multiple of x and 4?
12
Let k be 5/10*0/1. Let a be (-2 + -26)/(-1) + 2. Suppose -4*u + 5*z + a = u, -u - z - 4 = k. What is the smallest common multiple of u and 8?
8
Let h = 6 + 2. Let b = -1 - -13. Let m = -11 + b. Calculate the smallest common multiple of h and m.
8
Suppose 0*p + 176 = 3*p - 5*q, -242 = -4*p + 3*q. What is the least common multiple of p and 4?
124
Let l be ((-5)/(-3))/(2/(-65327478)). Let s = l + 385867673433/7088. Let j = -7/886 - s. Calculate the common denominator of 7/8 and j.
16
Let x(k) = k**3 + 6*k**2 - 2*k - 5. Let s be (-4)/12 - (-4)/3. Let g = 1 + s. What is the smallest common multiple of x(-6) and g?
14
Let j = 959/5 + -1643/10. What is the common denominator of 16/5 and j?
10
Suppose -5*f - 18 = -5*o + 57, 2*o - 5*f = 39. What is the least common multiple of o and 7?
84
Let l = -4870 + 38885/8. What is the common denominator of l and -37/22?
88
Let a = 4497/5 + -197723/220. What is the common denominator of a and -21/8?
88
Let y = 10 - 7. Suppose -r + p - 2*p + 9 = 0, y*p = -2*r + 21. Let f(q) = -q**3 + 12*q**2 + q. What is the smallest common multiple of f(12) and r?
12
Let o(j) = 2*j**2 - 9*j - 1. Let i be o(8). Calculate the smallest common multiple of 6 and 485/i - (-4)/22.
18
Let k(f) = 2*f - 11. Let d be k(11). Let q = d - 6. Suppose -q = -3*u + 4. Calculate the least common multiple of u and 9.
9
What is the common denominator of 15/33*(-6)/(-10) and (111/30 - 1)*-2?
55
Let d = 9892 - 20565/2. Let m = d + 418. What is the common denominator of m and 58*1/4 - -1?
2
Let a = -3607/370 - -135/37. Let q = -359 - -7544/21. Let d = 108/7 + q. Calculate the common denominator of d and a.
30
Let x = 1/2607 + 200734/13035. Let k = x + -46/15. Find the common denominator of k and -89/2.
6
Let o = 214661/18 + -11918. Find the common denominator of 29/5 and o.
90
Suppose -8*z + 208 = -4*z. Calculate the least common multiple of z and 4.
52
Let v(l) = 44*l**2 - 3*l - 3. Let d = -15 + 11. Let g be v(d). Let m = 7121/10 - g. Find the common denominator of m and -41/20.
20
Let z = -1928 - -7771/4. Calculate the common denominator of z and -113/28.
28
Suppose 2 = -2*h + 22. Calculate the smallest common multiple of 6 and h.
30
Let l be 5644/10*2/4. Suppose 3*b = -2*b - 1465. Let j = b + l. What is the common denominator of -8/11 and j?
55
Let u(f) = f**3 - 4*f**2 + 3*f. Let l be u(2). Find the common denominator of -1 - (l - (-15)/6) and -77/6.
6
What is the lowest common multiple of -2*(-6)/(-24)*-2*7 and 6?
42
Let j = -5123/1991 + 5/181. Suppose 10 - 4 = 3*q, -5*q + 6 = 4*n. Calculate the common denominator of j and (885/(-12))/(-5) - n.
44
Suppose 0 = 3*o - 4*c - 54, c = -4*o - 4*c + 72. Let r(l) = l**3 - 4*l**2 - l - 6. Calculate the least common multiple of r(5) and o.
126
Let w = 334/209 - 264133/627. Let o be (55570/36)/(66/18). Let x = w + o. Find the common denominator of x and -101/6.
66
Let q(g) = -g**3 + 15*g**2 - 11*g - 34. What is the lowest common multiple of q(14) and 22?
88
Suppose -p + 30 = i, -i - 3*i = -3*p - 99. What is the smallest common multiple of 3 and i?
27
Suppose 16*k - 14*k = 18. Calculate the common denominator of -79/16 and (k/90)/((-6)/515).
48
Find the common denominator of 33/4 and 77/(-5)*(245/(-112))/(-7).
16
Let f(d) be the third derivative of -d**5/60 - 3*d**4/8 - 7*d**3/6 + 2*d**2. Calculate the lowest common multiple of f(-6) and 2.
22
Let m(j) be the first derivative of -j**4/4 + 4*j**3/3 - j**2 + 2*j - 3. What is the smallest common multiple of 6 and m(2)?
6
Suppose -2*d - d = -33. Suppose 4*c + d - 43 = 0. Calculate the least common multiple of 2 and c.
8
Let n(m) = 2*m - 11. Let a be n(8). Find the common denominator of (a/4)/((-1)/(-24)) and -56/11.
11
Let c = -72130374955 - -6223408751034739/86280. Let a = 1/3595 - c. What is the common denominator of a and 89/(-22) + 2 + -2?
264
Suppose -5*k = -2*g + 264, -4*k + 2*k + 3*g - 110 = 0. What is the common denominator of 2/(k/138) + 3 and (-578)/(-12) + (-2)/(-6)?
26
Calculate the common denominator of 7/36 - 2/(-12) and 16/27.
108
Suppose 5*w = -c + 48, -4*c + 14 = 3*w - 8. Let u = 3 - 1. Calculate the lowest common multiple of w and u.
10
Let m = -16515/8 - -2061. Find the common denominator of m and -49/10.
40
Let s(b) = -b + 2. Let t be s(5). Let w be ((-6)/(-18))/(2/66). Let f = w + t. Calculate the smallest common multiple of f and 24.
24
Let o(a) = -a**2 - 13*a - 10. Suppose y + 3*y = 8. What is the lowest common multiple of y and o(-12)?
2
Suppose 2*t = 1 + 29. Find the common denominator of -32/7 and 18/((-2)/(16/t)).
35
Let d be (-8)/((-2)/4*1). What is the common denominator of 123/10 and ((-6)/d)/(30/(-568))?
10
Let a be (-2 - (-5 + 3))/(-3). Suppose 3*k - 26 = -l, 4*k - l - 32 = -3*l. Calculate the lowest common multiple of k - (-2)/(-1) - a and 11.
88
Let m = -46 + 68. Calculate the lowest common multiple of 30/(9/2 + -3) and m.
220
Suppose -j + 18 = 4*r, 5*j - 3*r = -r + 112. Let u be (-193)/(3/j*2). Let p = -29887/42 - u. Find the common denominator of p and 1/14.
14
Let s be (-34)/(-9) - 2/(-9). What is the common denominator of -85/6 and 79/s*(-4)/6?
6
Suppose 1474 = 2*t + 11432. Let k = t + 69659/14. What is the common denominator of k and 83/22?
154
Calculate the common denominator of 87/2 and (1