77
Let m = 58 - 52. Calculate the smallest common multiple of (39/6)/(m/24) and 14.
182
Let q(l) = -129*l**3 + 2*l**2 + 3*l + 6. Let v be q(-2). Let s = v - 15632/15. What is the common denominator of -11/10 and s?
30
Let b = -3140 - -3350. Calculate the lowest common multiple of 525 and b.
1050
Let z be (-487 - 0)*(-2 - -1). Find the common denominator of (-14)/(-77) + z/(-198) and (-3)/((-168)/(-1060))*2/10.
126
Let o = 4/2055 + 3057/1370. Calculate the common denominator of (3*536/(-216))/((-2)/1) and o.
90
Let z = 10 - 12. Suppose 5*s + 5*f - 410 = 0, s + f + 158 = 3*s. Calculate the least common multiple of s and 10 - -2*(1 + z + 0).
80
Suppose -4*s - 3 = -35. Let j = 310 - 302. Calculate the smallest common multiple of j and s.
8
Let h(s) = -s**3 - 5*s**2 - 3*s + 9. Let p be ((-8)/(-10))/((-5)/25). What is the least common multiple of h(p) and 3?
15
Calculate the common denominator of 91/24 and (-4)/(-240)*2320/(-96).
72
Let y(d) = -d**3 + 11*d**2 + 13*d - 2. Let u be y(12). Let x be -4*(-1)/(-3)*-18. What is the smallest common multiple of 22 and u/4*x/5?
132
Let j be 2*(-3)/24*46*2. Let l = 249/109 - 16861/2180. What is the common denominator of j/6 - -2*2/4 and l?
60
Let n = -32 - -22. Let s be 32/(-5) - 4/n. Calculate the common denominator of -29/12 and (-292)/s*18/24.
12
Let f(l) = -l**2 + 15*l - 1. Let j(t) = -t - 1. Let p(h) = f(h) + 2*j(h). Suppose -w - 13 = -17. Calculate the smallest common multiple of w and p(12).
36
Suppose -3*d = -27*q + 25*q - 104, -2*d + 3*q = -61. Calculate the smallest common multiple of d and 76.
76
Let n = 15 - 22. Let q be (n - -2)*(-18)/15. Suppose q*c + 11 = y + 4*c, 30 = 4*y - c. Calculate the lowest common multiple of y and 2.
14
Let s = 358 + -386. Suppose -4 = 3*y + 5*a, 4*y - 3*a + 22 = 7. Calculate the smallest common multiple of (s/12 - y)*42 and 6.
84
Let t = 51901/9 + -5759. What is the common denominator of -37/90 and t?
90
Suppose 0 = 2*f + 5*z - 12 - 4, z - 63 = -5*f. Suppose -2*a - 33 = f. What is the common denominator of 143/12 and a/(-7) + 16/8?
84
Calculate the common denominator of 73/40 and 697/(-104) - (-38 - -31).
520
Let l = 481 + -471. Calculate the least common multiple of 40 and l.
40
Let z(p) = p**3 + 2*p**2. Let o be z(2). Let l be ((-3)/o)/((-9)/26860). Let x = l + -560. What is the common denominator of 57/20 and x?
60
Find the common denominator of (8/(-6)*12978/(-336))/(-3) and -1 + (-1)/(34/28).
102
Let c = -2993/1638 + -68/819. Find the common denominator of -3/22 and c.
858
Let s = 7433/3223 - -7/586. Calculate the common denominator of ((-10)/(-48))/(4/46) and s.
528
Let a be (-2)/(-8)*(1 - -7). Suppose -3*i + 2*q + 73 - 5 = 0, 5*i = -a*q + 92. Calculate the least common multiple of 14 and i.
140
Suppose 6*d - 200 = 2*d. Suppose i + 4*i = d. Calculate the lowest common multiple of i and 34/(-544) - (-65)/16.
20
Let o = -7276 - -72647/10. Let m be ((-2566)/1 + -1)*-1. Let g = -10329/4 + m. What is the common denominator of o and g?
20
Find the common denominator of 39/10 and 160/(-55) - (4 - 4) - -2.
110
Let s be -1*((-6)/(-3) - 3). Let k be ((s - -82) + -3)/1. Suppose 0*d - 5*d = -k. What is the least common multiple of d and 20?
80
Let r = -2543 + 50939/20. Find the common denominator of r and (-7 - -8)*(-117)/10.
20
Let v = 13021/260 + -640/13. Find the common denominator of -49/24 and v.
120
Let m(u) = 5*u**2 - 7*u + 10. Let f be m(4). Suppose -3*i + g - 21 = 20, 51 = -4*i + 5*g. Let d = f + i. Calculate the common denominator of d and -23/4.
4
Suppose 2*d + 3*d + 2*b - 14 = 0, 0 = -d + b. Suppose 2*u - u + 7 = 0. Find the common denominator of 114/84 - d/u and 17/2.
14
Suppose -2*i - 9 = -t, 4*t = -4*i + 23 + 13. Find the common denominator of 153/12*(-3)/t and 65/10*(-10)/(-16).
16
Let q = 580/3 - 530/3. Find the common denominator of 5 - -1 - (-4)/(-1) and q.
3
Let j = 91 - 91. Suppose -o + 6 = -j*o. Calculate the lowest common multiple of 1 and o.
6
Let c be 3/2 - 9/(-6). Suppose 0*v + 73 = 4*i + 3*v, 0 = 4*i - c*v - 55. Calculate the common denominator of (-2 - 0)/(i/(-43)) and -28/11.
88
Let m be ((-42)/(-28))/((-6)/(-16)). Suppose -2*o - 2*r + 0 + 16 = 0, -3*r = -m*o + 4. Find the common denominator of -29/18 and o/6 - 1480/96.
36
Let f(d) = 7*d**2 + 2*d + 2. Calculate the smallest common multiple of (3 - 1) + (-12)/(-4) and f(-2).
130
Let l = -2415/1168 - -19/146. Let v = 3942 - 39461/10. What is the common denominator of l and v?
80
Suppose 3*d + 3*t - 180 = 6*t, -4*d + 2*t + 246 = 0. Calculate the lowest common multiple of d and 140.
1260
Let o(z) = z + 1. Let a be 46/2 + (0 - -2)/(-2). Suppose -2 - a = -4*m. Calculate the least common multiple of o(5) and m.
6
Let x = 23 + -30. Let u = x + -9. What is the lowest common multiple of 4 and (-92)/u + 1/4?
12
Suppose -8*i + 72 = -5*i + m, 4*i - 96 = 4*m. Calculate the least common multiple of i and 8.
24
Suppose -3*d - d = 0. Calculate the common denominator of (-1 - d) + (-57)/22 and (0 - -4) + (-2250)/(-400).
88
What is the common denominator of 7 - 11 - (-137)/35 and 68/3?
105
Let q = 6165/4 + -1549. Find the common denominator of q and -32/9.
36
Suppose -4*r + 214 = -2*s, -3*s + s - 3*r - 242 = 0. Let w be s/(-5) - (-4 + 2). Let b = 39 - w. What is the lowest common multiple of b and 4?
28
Let u = 502/3 - 1729/12. Calculate the common denominator of -41/200 and u.
200
Let c(f) = f**2 + 3*f - 4. Let u be c(-4). Suppose 24 = -2*b + 6*b. What is the least common multiple of u + 5 + (-12)/4 and b?
6
Calculate the common denominator of ((-2)/(-9))/((-1624)/(-924)) and -101/12.
348
Let w(j) = 15*j + 3. Let b be w(3). Let f = b + -45. Suppose 2*u - 12 = -2*u. What is the smallest common multiple of u and f?
3
Suppose -6*c + 8*c - 4 = 0. Calculate the smallest common multiple of c and (3 - 4)*(-7 + (-16)/(-4)).
6
Let b = 3098 - -816. Let x be 13083*((-132)/40 - -3). Let m = b + x. Find the common denominator of m and 7/4.
20
Let p be (-5)/((-80)/(-342)) + 3. Let u = -29/4 - p. Let q = 281 - 835/3. Calculate the common denominator of q and u.
24
Suppose 1256 + 364 = 54*n. What is the smallest common multiple of 63 and n?
630
Suppose -11 = 4*p - 35. Let w be 6/9 + 10/(-15). Suppose w*i = -i - 4*z + 10, -4*z = -2*i + 20. Calculate the smallest common multiple of p and i.
30
Suppose 9 + 4 = 2*m + 5*x, 5*m - 3*x = 17. Let l = 14 - 6. Suppose -4 = 4*s - 24, q = 2*s + l. What is the least common multiple of q and m?
36
Calculate the common denominator of 249/28 - (-4)/24*-30 and -181/150.
2100
Let u = 49775/63 + -5508/7. Calculate the common denominator of (3/((-36)/(-79)))/2 and u.
72
Let d(z) = -7*z**2 + 3*z + 2. Let q be d(-1). Calculate the common denominator of -97/22 and ((-1)/q)/((-4)/6).
176
Let w = 111604262 + -37722267555/338. Let y = -23/507 - w. Let r = 4105/48 - y. Calculate the common denominator of 23/4 and r.
16
Let f = -13594 - -217589/16. Let z = -9/241 + 17773/4820. Calculate the common denominator of f and z.
80
Suppose 6*b - 152 = -2*b. Suppose -p = 10 - b. Calculate the least common multiple of 9 and p.
9
Let o = -22/5 + -117/70. Suppose 0 = 2*r - r. Find the common denominator of 3 + r + 59/4 and o.
28
Suppose -6*l = -2*l. Suppose -w + 12 = -4*d, l*d + 8 = w - 5*d. What is the lowest common multiple of 6 and w?
84
Let g be (7/9 - 1) + (-456)/(-108). What is the common denominator of 1 - (g/18 + 2226/432) and 67/26?
104
Let q(s) = -23*s**3 - 8*s**2 - 19*s - 8. What is the lowest common multiple of 312 and q(-2)?
2184
Let f(m) = m**3 - 11*m**2 + 11*m. Let l be f(10). Calculate the common denominator of -43 and 4 + 1 + (-15)/l.
2
Suppose -4*l - 5*g + 4*g = -142, 3*g + 78 = 2*l. Calculate the smallest common multiple of (5 + -4)/((-2)/(-54)) and l.
108
Let u be -3530 + -3 + -1 + 4. Let t be ((-8)/24)/((-2)/u). Let j = t - -565. Calculate the common denominator of 55/6 and j.
6
Let o(l) = -l**2 + 8*l - 1. Let t be o(8). Find the common denominator of ((-190)/(-2))/(-45 + t) and 95/12.
276
Let d be 1282/(-4) - 4/(-16). Let l = -9171/28 - d. Calculate the common denominator of -3/8 and l.
56
Let d be (-12)/8 + (-36)/8. Find the common denominator of 41/((d + -4)/(-2)) and -24/11.
55
Let k = -11 - -27. Let m = k - 11. What is the common denominator of m and -47/5?
5
Let m = -72 - -92. What is the