mmon denominator of (6 + j/14)*(-19)/3 and d.
18
Let m = 54 + -39. Calculate the lowest common multiple of 9 and m.
45
Let a = 1/299 + -30811/4186. Calculate the common denominator of a and 10/24*(-2912)/240.
126
Suppose -36 = -2*r - 5*g, 4*r + 2*g - 72 = -g. Let t = 34 - r. What is the smallest common multiple of t and 20?
80
Let l(i) = -9*i + 1. Suppose -3*y - 9 + 6 = 0. What is the lowest common multiple of l(y) and 22?
110
Find the common denominator of 3/40 and (-2982)/384 + 2 + 6.
320
Let f = -687/26 + 12/13. Let y = 245020/259 + -946. Let a = -11342/2331 - y. Calculate the common denominator of f and a.
18
Let p(x) = x. Let w(i) = -8*i + i + 2*i. Let l(a) = 35*p(a) + 6*w(a). What is the least common multiple of l(1) and 1?
5
Suppose -5*v = 5*o - 180, v - 1 - 3 = 0. Let c be (1*24)/((-3)/2). Let t = o + c. What is the smallest common multiple of t and 20?
80
Let p be 13/(-22)*4534/(-18). Let j = -1666/11 + p. Let r = -1/4687 + -426511/28122. What is the common denominator of r and j?
18
Let d = -510 - -18349/36. Calculate the common denominator of d and (-4)/28 - 51/42.
252
Let u be ((-2)/(-3))/(14/1281). Suppose u = v + 2*v + 5*c, 2*c + 50 = 5*v. Calculate the lowest common multiple of 3 and v.
12
Suppose 17*u + 210 = -4*u. Suppose -4 + 2 = n. Let o = n - u. What is the smallest common multiple of 4 and o?
8
Let r = 169 + -160. Calculate the least common multiple of (-4)/14 - (-214)/14 and r.
45
Let q(f) = -f**3 + f**2 + 6*f + 2. Let m be 7/(14/(-6)) - -6. Let z(c) = -c**2 - 6*c - 1. What is the smallest common multiple of q(m) and z(-5)?
4
Let h = 7/106 - -6273/2120. Find the common denominator of h and -181/90.
360
Suppose -4*u + 69292 + 2932 = 0. Let d = -325105/18 + u. Find the common denominator of 3 + 23 - 6/8 and d.
36
Let v = 4 - -116. Suppose 0*m + 3*m = v. Suppose 0 = 4*s - 0*s - m. Calculate the smallest common multiple of 4 and s.
20
Suppose 3*g + 111 = 120. Suppose 0 = -g*p - 8 + 14. Calculate the least common multiple of p and 16.
16
Suppose -f + 3 = -0*f. Suppose -h = -f*d, 0*d - 2*d + 32 = 2*h. What is the smallest common multiple of h and 14?
84
Suppose -r + 51 = 5*h, -297 = -5*r + 5*h + 48. What is the lowest common multiple of 18 and r?
198
Let y be 1*12 + (5 - 6). Let f = -11 + y. Find the common denominator of -41/9 and (-2)/(22 + f)*4.
99
Suppose 17 - 81 = -4*w. Let s(a) = 105*a + 426. Calculate the smallest common multiple of w and s(-4).
48
Let b be 2/(-6)*0 + 4. Let r(w) = -w**2 + 3*w - 2. Let d be r(4). Let q = b - d. What is the lowest common multiple of q and 4?
20
Let b = 72/883 - -76647/67108. What is the common denominator of b and -145/342?
684
Let p be (-2)/4 - 4/32*-4. Suppose -5*n = 2*l - 90, p = -n - 5*l + 9 + 32. Calculate the smallest common multiple of 8 and n.
16
Let y(k) = 2*k + 11. Let d be y(-12). What is the least common multiple of (-18)/(-4)*4/3 and 2088/117 - 2/d?
18
Let b = 148 + -149. Let g = -10 + 6. What is the least common multiple of 4 and 2 + (g/(-2) - b)?
20
Let a(j) = -3*j**3 - 11 - 7*j**2 + 2*j**3 + 11 + 7*j. Calculate the least common multiple of a(-8) and (-13 + 1)/((-9)/12).
16
What is the common denominator of 2/3 + (-822)/396 and (1/4 - 1)*560/7320?
1342
Suppose 0 = 4*r - 0*r + 52. Let u = r + 22. Suppose 44*v = 39*v + 70. What is the least common multiple of u and v?
126
Let z be 9*(-5)/(-15) - (0 + 363). Suppose -4*y - 2310 = -7*y. What is the common denominator of -83/10 and z/y + (-2)/(-7)?
110
Suppose -2*h + 316 = 4*l + h, -2*h = 5*l - 402. Let f = l + -33. What is the common denominator of f and 83/10?
10
Suppose r - s = -3*s + 30, 3*r - 80 = -4*s. Calculate the smallest common multiple of r and 164.
820
Suppose -2*p + 40 = 3*p. Let v = p - 7. Let a = -23 - -31. Calculate the least common multiple of a and v.
8
Find the common denominator of 19/12 and ((-5)/80*-1)/(33/1044).
132
What is the common denominator of -29/10 and (-288)/(-160)*29/6?
10
Let p = 566071/1282827 + 2/11557. What is the common denominator of -31/21 and p?
777
Find the common denominator of ((-41)/(-15))/(36/60) and 1 - (255/65 - 4).
117
Let a(l) = -l + 10. Let f be a(9). Let t be 1 - f*210591/(-22). Let h = 9576 - t. Calculate the common denominator of h and 49/2.
22
Let p(d) = d - 1. Let c(y) = -7*y + 6. Let z(n) = c(n) + 6*p(n). Let t = 1291 + -1272. Calculate the smallest common multiple of t and z(-4).
76
Let f(m) = -m**2 - 10*m - 7. Let q be f(-8). Let r = -5 + q. Suppose -i - r*j = 1, -i + 5 = -j + 1. Calculate the smallest common multiple of i and 6.
6
What is the common denominator of -23/72 and ((-64)/72)/(-4) - 137/(-36)?
72
Let a = -115/8 - -31/4. Suppose o + 2 = 5*s + 1, 4*s + 2*o = 12. Calculate the common denominator of a and s/(22*(-1)/41).
88
Let n = -3459/370 - 50/37. Let p = -347743/18 + 19325. Calculate the common denominator of n and p.
90
Let u = -125 - -124. Calculate the lowest common multiple of (-11)/(-4)*(-7 + 11) - u and 3.
12
Let b = -42840649/106118370 + 1/393031. What is the common denominator of -59/330 and b?
2970
Let l = 6811/10 - 683. Calculate the common denominator of l and 535/75*3/4.
20
Let u(b) = 22*b - 22. Let r be 2/(-5) + (-54)/(-10). Suppose -v - 3 = -r*d, 0*d - 5 = -5*d. What is the lowest common multiple of v and u(3)?
44
Suppose h + 5*y + 6 - 43 = 0, 0 = -4*h - 3*y + 97. Suppose -w + 442 = -0*w. Calculate the least common multiple of w and h.
4862
Suppose -1 = -2*o - r, -2*o - 5*r - 9 = o. Let b(u) = 2*u**2 + 3*u - 3. What is the smallest common multiple of 11 and b(o)?
11
Let l = 398/315 - 4/63. Calculate the common denominator of l and -3/8.
40
Suppose d - 10097 = -3*i + 34742, -5*d = 2*i - 224195. Let o = d + -1973023/44. Find the common denominator of o and -69/22.
44
Suppose 11 = i - 9. Let m be (6/(-150)*-15)/(1/305). Let n = -161 + m. What is the smallest common multiple of i and n?
220
Let x = 18 + -15. Suppose g - 5 = -x, -3*f = -5*g - 8. What is the least common multiple of 20 and f?
60
Find the common denominator of 5/(-15) + (-386)/(-48) + -2 and 113/14.
168
Let i be (-57)/(-18) + -3 - 665/(-42). Suppose p + 10 = 1. Let l = i + p. Calculate the lowest common multiple of 1 and l.
7
Let z(b) = b - 7. Let u(t) = t. Let m(y) = 2*u(y) - z(y). Let p be m(-6). Calculate the least common multiple of 2 and 7*p/(-2)*-4.
14
Suppose u - 2*n = 1, -99*u + 97*u - 3*n + 37 = 0. Let j = 16 - -5. Calculate the smallest common multiple of u and j.
231
Suppose 59*p - 61*p = -6. Suppose -u + 14 = 3*k, -6*k + 22 = 2*u - p*k. Calculate the smallest common multiple of u and 18.
72
Let d = 16929736 - 5095826028/301. Let s = 15546565/6622 + d. Let j = s + -2428. Calculate the common denominator of j and -87/22.
22
Suppose 3*c + 1789 = -5*z, 2*c - 4*z + 1186 = -6*z. Let x = c + 51747/88. What is the common denominator of -15/16 and x?
176
Let o = 3/2923 + -93881/336145. Find the common denominator of 15/253 and o.
1265
Let c = 350 - 220. Calculate the smallest common multiple of c and 260.
260
Let b be 4/(-20)*20/56. Let r = -1771/5 - -12391/35. Let m = r - b. Calculate the common denominator of m and 20/3.
30
Let x = -61/1147 - -5/31. Let t = x + -3317/222. Calculate the common denominator of t and 7/15.
30
Let p(k) = -19173*k**3 + k**2 + 2*k + 1. Let l be p(-1). Let y = l - 958761/50. Find the common denominator of (440/24)/((-1)/(3/(-2))) and y.
50
Suppose 177 - 77 = 10*o. What is the lowest common multiple of o and ((-24)/(-30))/(2/5)?
10
Let g = 183 - 147. What is the smallest common multiple of 48 and g?
144
Calculate the smallest common multiple of (5 - (3 - 2 - 0)) + -1 and 206.
618
Let j(t) = t**2 - t. Let b be j(0). Suppose o - 14 = -4*u - 0, -5*u + 5*o + 30 = b. Let w = u + 6. What is the lowest common multiple of w and 20?
20
Let p be (-601215)/(-66) - (-2 - -5). Let k = p + -9104. Find the common denominator of k and ((-222)/16)/((-14)/(-8)).
154
Let j be 2*((-1)/2 - -3). Suppose j*s = 45 - 0. Calculate the common denominator of s/(-6) - 10/22 and 81/8.
88
Suppose -2*y + 95 = 2*l - 193, 5*l + 3*y = 712. What is the least common multiple of 20 and l?
140
Let k(r) = r**2 - 27*r - 44. What is the smallest common multiple of 90 and k(31)?
720
Calculate the common denominator of 13/12*(-25)/20 and -27/64.
192
Let t = 645 - 643. What is the least common mul