10
Suppose -y + c + 3*c = -26, 3*y + c - 52 = 0. Let v = y - 9. What is the lowest common multiple of 1/(2 - (-13)/(-7)) and v?
63
Suppose -n - 5 = -7. What is the least common multiple of 2 and (-2)/(-12)*n*6?
2
Suppose -j + 0 = 6. What is the common denominator of 67/j + 14/(-42) and 27/4?
4
Suppose 2*a = 5*v + 19, a - 3 - 2 = v. Let u be -29*(-2)/(-2) + -1. What is the smallest common multiple of a and 8/(-10)*u/4?
6
Let l = 28302/5 + -5683. Let r = 19/5134 - -1763339/51340. Let k = l + r. Calculate the common denominator of -133/18 and k.
36
Suppose -224 = 5*y - 19*y. Calculate the least common multiple of 18 and y.
144
Let i = -247031/18 + 13732. Find the common denominator of 17/6 and i.
18
Let k be 25525456/(-636) - (0 - 1). Let a = -40133 - k. Let l = 3407/477 - a. Find the common denominator of l and -61/9.
9
Calculate the common denominator of -22/3 and (0 - (-4)/7) + (-2574)/(-420).
30
Suppose -194 + 4 = -19*k. What is the smallest common multiple of 34 and k?
170
Let w = 1/115 + 127/11845. Let j = -1771/1030 + w. Find the common denominator of -21/2 and j.
10
Suppose -2*u - 6 = 0, 13 = 4*z + u - 0*u. What is the least common multiple of z and 10?
20
Find the common denominator of 83/4 and (((-172)/25)/4)/(4/5).
20
Calculate the common denominator of 4 + -2*(-196)/16 and 1/2.
2
Let n = -2 + 4. Suppose -n*v = -6*v - 8. What is the common denominator of -17/16 and 0 + 67*v/(-12)?
48
Suppose 2*x + 2*x = 52. Let j = -66/5 + x. What is the common denominator of (336/(-100))/(2/(-5)) and j?
5
Let w be 920/(-22) - (-12)/(-66). Find the common denominator of 309/w - 4/(-4) and (-40)/9 - (-1)/2.
126
Let w = -14039/6 + 2333. Suppose -v - 2*d = -50 - 40, 2*v - 140 = 4*d. Calculate the common denominator of w and 566/v + (-1)/5.
24
Suppose 4*m = 5*p + 18, p + 0*p - 4*m = -10. Let w(z) = -2*z - 2. Let k be w(p). Suppose -g + 0*g = -k. Calculate the smallest common multiple of 8 and g.
8
Let r = 4 - 5. Calculate the smallest common multiple of -3*(-3 + r/(-3)) and 5.
40
What is the common denominator of 85/14 and 45/22 - 2*(-6)/4?
154
Let q = 2938709036/415 - 7081221. Let x = q - 16/83. What is the common denominator of x and -91/10?
10
Let j(c) = -c**3 + 3*c**2 + 3*c. Suppose -59 = -5*l + 71. What is the lowest common multiple of j(-2) and l?
182
Let p(r) = r**3 + 10*r**2 + 16*r + 6. What is the least common multiple of 20 and p(-8)?
60
Let w = 27 + -13. Let n be ((-1)/2)/((-1)/w). Let g = 0 + n. Calculate the least common multiple of 8 and g.
56
Let t = 9/20 - 16/5. Let d = -1381 + 11021/8. Find the common denominator of d and t.
8
Let b = -6/6491 + -889195/77892. Find the common denominator of b and -91/18.
36
Let o = -2/369 + 8866/1845. What is the common denominator of o and 29/10?
10
Suppose -24 = -4*s - d, 0 = -4*s - 0*d - 5*d + 8. What is the smallest common multiple of 5 and s?
35
Let r(j) = j**2 + j + 2. Let v = 1 + -1. Calculate the least common multiple of 7 and r(v).
14
Suppose -7 - 4 = -q. Calculate the least common multiple of q and 1.
11
Suppose 3*m + 127 + 20 = 0. Calculate the common denominator of 59/4 and m.
4
Let q = -32 - -36. Calculate the smallest common multiple of q and 14.
28
Calculate the smallest common multiple of (-2)/3*(0 + -12) and (1 - (-3 + 3)) + 8.
72
Suppose -7 = -5*c + 3*p, -c - 4 = 2*p + 5. Let n be 2/(-4)*(-1525 + c). What is the common denominator of -56/3 and (-2)/(-11) - n/(-99)?
9
Let y(s) = -s**3 + s**2 + 4*s + 1. Let q be y(3). What is the common denominator of 2/(-8)*(-830)/q and 103/10?
10
Let l = 6541/580 + -4/145. Calculate the common denominator of l and -11/9.
36
Let n = 34 + -20. Suppose k + 3*x - 17 = 0, -2*k - 3*x - x + 32 = 0. Calculate the lowest common multiple of n and k.
14
Let s be (-2)/5*52/(-80). Let t = s + 1499/100. What is the common denominator of 74/3 and t?
12
Let t be 1*(-106)/(-4)*-2. Let q = t - -84. Suppose 5*w = q - 1. Calculate the smallest common multiple of 16 and w.
48
Suppose -k + 2 = -d, 6 - 11 = -4*k + d. Calculate the common denominator of -87/10 and k.
10
Let h(s) = 7*s - 6. Suppose 0*x + 16 = 4*x + 2*a, -5*a = 0. Let c = 0 + x. Find the common denominator of -74/9 and h(c).
9
Let a(d) = -d**2 + 8*d - 1. Let r be a(7). Let z = 11 - r. Let k = z + -1. What is the lowest common multiple of k and 6?
12
Suppose 0 = -s - 4 + 14. What is the least common multiple of s and 8?
40
Let z be (-94)/(-1687) - 6/42. Let k = 15015/1928 - z. Calculate the common denominator of k and ((-1)/1)/((-4)/(-118)).
8
Let b be 2 - (4 + -2) - -7. Suppose -2*l - 60 = -b*l. Suppose -31 = -2*u + r, -5*u + 2*r - r + 85 = 0. What is the smallest common multiple of u and l?
36
Let q(y) = 2*y**3 - 11*y**2 + 7*y. Suppose 2*i - 5*h - 70 = 0, i - 6*i + h + 198 = 0. Suppose -z + i = z. Calculate the least common multiple of q(5) and z.
20
Let l = 1 + 1. Suppose 0 = -3*m + l*m + 3. What is the least common multiple of m and 10?
30
Let l = 272812853 + -2028636391635/7436. Let o = 15/676 + l. Find the common denominator of 119/20 and o.
220
Suppose 0 = -4*r - 33 + 5. Let h = 1 - r. Calculate the smallest common multiple of h and 10.
40
Let y(l) = l**2 - 6*l + 6. Suppose -3*b = -2*b - 2. Suppose b*o + t - 9 - 16 = 0, -5*t = 2*o - 37. Calculate the lowest common multiple of o and y(6).
66
Let q be 6575/12 + (-2)/(-3). Let z = -1187195/2228 + 57/557. Let w = q + z. Find the common denominator of -19/7 and w.
42
Let v = -5 - -8. Let o(w) be the third derivative of -w**6/120 + w**5/15 - w**4/12 - w**3/6 + w**2. Calculate the least common multiple of 14 and o(v).
14
Let v(f) = -f**2 + 11*f + 10. Let o be v(11). Let j = o + -6. What is the smallest common multiple of 14 and j?
28
Let t be 10/35*(9 + -2). Calculate the lowest common multiple of 180/99 - t/(-11) and 18.
18
Let a(f) = f**3 + 3*f**2 - 3*f + 2. Let d be a(-4). Let c = 1 + d. What is the lowest common multiple of (-21 + c)*(4 + -5) and 10?
110
Let g = -2689/15 - -23/30. Let p = g + 140. Find the common denominator of ((-6)/(-20))/((-4)/(-135)) and p.
8
Let b(s) = -s**3 - 8*s**2 - 2*s. Let k(y) = -6*y - 4. Calculate the lowest common multiple of k(-4) and b(-8).
80
Find the common denominator of 5/(-165)*141/(-1) and -16/5.
55
Calculate the common denominator of (1/(-5))/(2/(-11)) and (-44)/(-66) + (-566)/(-24).
20
Calculate the lowest common multiple of ((32/6)/(-2))/((-30)/135) and 27.
108
Let m = -185 - -1483/8. Find the common denominator of m and -31/8.
8
Find the common denominator of -2 - (1 + 31/2) and 3/(-24)*534/9.
12
Calculate the common denominator of (18/(-10))/((-24)/(-15)) and ((-465)/(-20))/(5/2).
40
Let u = 138/665 + -177/3325. Let z = u + 2501/350. What is the common denominator of 19/18 and z?
90
Let l = 799/213 + -1/852. What is the common denominator of -55/6 and l?
12
What is the lowest common multiple of ((-112)/(-21))/(2/9) and 21?
168
Suppose 0 = h - 5*h + 44. Suppose 3*g + 2*x = 21, -5*x = -3*g + 4*g + 6. Calculate the lowest common multiple of h and g.
99
Let c be 31020/15522 + (-4)/2. Let p = -90501/28457 + c. What is the common denominator of p and 31/6?
66
Suppose 128 = a - 2*w, 0*w + 3*w = -2*a + 221. Calculate the common denominator of a/(-32) - 0/2 and (-4)/10 + 69/10.
16
Let p(c) = 6*c**2 + 4*c + 2. Let u be -2 - ((-1 - 0) + 1). What is the smallest common multiple of 8 and p(u)?
72
Let p = 43418/33 + -1315. Find the common denominator of p and 10/3.
33
Let i = 8 + -4. What is the least common multiple of i and 6/8*((-256)/24)/(-2)?
4
Let j = 7 - 3. Suppose -24 = v - j*v. Suppose -24 = -4*m + v. What is the smallest common multiple of 10 and m?
40
Suppose -25 = 3*i - 61. What is the smallest common multiple of 24 and i?
24
Let h = -13 + 11. Let f = h - 26. What is the common denominator of 36/5 and f?
5
Let u(o) = -o**2 - 11*o - 8. What is the lowest common multiple of 18 and u(-9)?
90
Let g(w) = 1800*w**2 + w - 1. Let x be g(1). Let o = x + -21497/12. What is the common denominator of o and -137/18?
36
Calculate the common denominator of 2 + (-370)/(-12) + (-2)/6 and -29/6.
6
Let s(c) = -c**3 + 2*c**2 + 4*c. Calculate the least common multiple of 24 and s(3).
24
Let v = -9 - -15. Let f be v/(-4)*8/(-6). Suppose 5*l + 29 = 2*h, -h - 3*h = f*l + 2. What is the lowest common multiple of 14 and h?
14
Suppose -4*u - 8