
Let q = 50480 - 908389/18. Let f = q - -86/9. What is the common denominator of -3/20 and f?
20
Suppose -2*r = -2*j - 2*j - 26, 2*r - 11 = j. Suppose r*f - 7*f + 8 = 0. Calculate the least common multiple of f and 28.
28
Let u = 2 - 1. Suppose -2*z + z + u = 0. Calculate the smallest common multiple of z and (-8)/(-1*(-1 + 2)).
8
Let k = -81/208 - 9/52. Find the common denominator of k and 59/4.
16
Calculate the common denominator of 47/22 and (-3 - (0 - 0)) + 564/64.
176
Suppose l = -0*l + 2. Suppose 3 = -y - l*j, 0*j - 2 = j. Calculate the smallest common multiple of (-1 - 0)/(3/(-30)) and y.
10
Find the common denominator of -101/22 and (-21)/(-140)*(-1 + -25).
110
What is the common denominator of -113/42 and ((-5)/(25/29))/((-12)/(-5))?
84
Calculate the smallest common multiple of 22 and 2/(-4)*(-70 + -10).
440
Let q = 2044 + -22435/11. Find the common denominator of q and 32/3.
33
Let m = -14 - -10. Find the common denominator of ((-20)/(-6) + 0)/(-2) and (-101)/8*(2 + m).
12
Let t = 30 - 14. Calculate the lowest common multiple of 36/t*(10 + -2) and 22.
198
What is the smallest common multiple of 9 and 5 + (2/1)/2?
18
Let x = -6 - -10. Suppose x = w + w. Suppose -u = w*u - 27. Calculate the least common multiple of u and 4.
36
Let m(l) = -3*l**3 - l. Let z be m(-1). Suppose -4*b = 2*x + x + 4, -5*b - 5 = -z*x. Find the common denominator of ((-1)/12)/(b/139) and 69/10.
60
What is the least common multiple of 3 and ((-15)/(-15))/(2/16)?
24
Let u be (0 - (-2)/6)*0. Suppose -2 = -t + 2*l, -4*t + u*t + 35 = l. Calculate the least common multiple of 1 and t.
8
Suppose 4*g - 47 = 5*n, g = -g + 3*n + 21. Calculate the least common multiple of g and 36.
36
Suppose -29 = -3*g - 5*s, 4*s = 2*g + 2*s - 14. Let r(j) = -j**2 - 9*j + 2. Let v = -20 - -14. Calculate the smallest common multiple of r(v) and g.
40
Let o = -4251/8 + 528. Let b = -152312/30291 + -20/1317. Let l = b - -3203/138. Calculate the common denominator of l and o.
24
Suppose 4*r + 3*a + 36 = 8*r, 3*r + 5*a + 2 = 0. What is the smallest common multiple of r and 7?
42
Suppose -3*a + 8*a + 5 = 0. Find the common denominator of a/(-2)*(-73)/2 and -26/11.
44
Let b = 13081 + -156871/12. Find the common denominator of -69/10 and b.
60
Suppose 12 = -4*w, -4*x + 147 = -2*w - 3*w. Let r = x + 3. Calculate the common denominator of 3/2*39/r and -19/4.
8
Let q = 178/11 + -740/77. What is the common denominator of q and -87/8?
56
Let k(m) = m + 4. Let r be k(-7). Let l(x) be the first derivative of 15*x**2/2 + 2*x - 3. Calculate the common denominator of l(r) and 76/3.
3
Suppose 22*i = 14*i + 160. Calculate the least common multiple of i and 12.
60
Let u = -945/4 - -239. Let w(g) = g - 11. Let l be w(5). Calculate the common denominator of u and (18/(-60))/(l/94).
20
Suppose -4*x + a + 46 = 0, a = x + 2*a - 14. Calculate the smallest common multiple of 3 and x.
12
Find the common denominator of 23/4 and ((-44)/(-110))/(32/355*2).
32
Let m be 1/(-4) + 3/(-4). What is the common denominator of m*2 + (-164)/(-44) and ((-1802)/(-51))/(4/2)?
33
What is the common denominator of 532/(-40) - -1*1 and 21/11?
110
Suppose -3*z = -0*z - 24. Calculate the least common multiple of 38 and z.
152
Calculate the common denominator of 121/18 and -1 + -1 + (-207)/180.
180
Let f(q) = -q**2 - 7*q - 7. Let v be f(-6). Let a = -27803/2334 - 7/1556. Calculate the common denominator of a and 66/14 - v/(-2).
84
Suppose 5*l + 5*i = -130, -i - 101 = -2*l + 6*l. Calculate the smallest common multiple of 4 and l/(-10) + (-2)/4.
4
Let o be -3*(4/(-11))/4. Let b = 483/44 + o. What is the common denominator of b and 107/10?
20
Let m = -44 + 58. Calculate the smallest common multiple of m and 6.
42
Let k = 112 - 100. Suppose 0 = -4*b + f - 16, 2*f - 4 = 2*b + 10. Let d = -1 - b. Calculate the lowest common multiple of k and d.
12
Let j = 10000824189127/1012996598920 + 239/52345835. Let c be 2*(-1)/9676*12. Let t = j - c. What is the common denominator of t and -117/10?
40
Let z = -481787/30 + 16061. Let s = 107/5 + z. Find the common denominator of 29/5 and s.
30
Suppose -6*q + 24 = -3*q. Let n be 218/8 - 2/8. What is the smallest common multiple of 4*n/6*1 and q?
72
What is the common denominator of 4 + 29*(-1)/12 and -59/4?
12
Calculate the lowest common multiple of (-28)/6*18/(-7) and 7.
84
Let p = 564623/10 + -58387. Let x = 1936 + p. Calculate the common denominator of x and 22/13.
130
Let n = -141 + 145. Suppose 3*c + 6 = 3*o - 12, -2*o = 3*c - 2. What is the smallest common multiple of o and n?
4
Suppose 0 = -c - w + 6, 2*c + 4*w - 6 = 4*c. What is the least common multiple of 77 and c?
231
Let u = -6394/5 + 19276/15. Calculate the common denominator of u and 89/40.
120
Suppose 0 = 4*c - 0*c - 4. Suppose 110 = 3*f + 2*f. Calculate the smallest common multiple of c/((-3)/(-12))*4 and f.
176
Find the common denominator of -1/50 and 6/20*(-6*2)/(-2).
50
Let i = 10 + 8. Calculate the smallest common multiple of i and (-2)/((0/(-2) + 1)/(-5)).
90
Suppose 0 = -12*j + 7*j + 35. Let a(d) = -d**2 + 8*d. Let u(o) = o**2 - 4*o - 4. What is the least common multiple of a(j) and u(5)?
7
Suppose -2*w - 3*w = -25. Let s = 3 + w. What is the smallest common multiple of s and 9?
72
Let y = 5/491 + 25968/5401. What is the common denominator of -99/4 and y?
44
Suppose -5 = 3*x + 1. Let y = 873 - 8683/10. Find the common denominator of ((-89)/15)/(x/3) and y.
10
Let d = 7913/2344 - 1/1172. Let s = 139/2 + -553/8. Let c = -273/8 - s. What is the common denominator of c and d?
8
Let b = 581/152 + -151/19. Calculate the common denominator of b and 91/2.
8
Find the common denominator of 89/18 and (-30)/((-1)/10*-32).
72
Let h = 716 - 2418. Let q = h - -3489/2. Find the common denominator of q and 71/16.
16
Let i = -7813/154 - -358/7. Let c = 32157/2750 + 9/1375. What is the common denominator of i and c?
110
Let a = 30 + -8. Suppose 4*w - 41 + 9 = 0. Calculate the lowest common multiple of a and w.
88
Let j(w) = 10*w**2 - 2*w + 2. Let d = -5 + 7. Let o be j(d). Let r = o - 18. Calculate the smallest common multiple of r and 14.
140
Let f = -20 + 28. Let r(d) be the second derivative of -d**4/12 - 2*d**3/3 - 3*d**2/2 + 10*d. What is the least common multiple of f and r(-2)?
8
Let w(c) = -c**3 - c**2 + c. Let t be w(-2). Let k be (-1)/t*10*13. What is the common denominator of (-1 - 1)*k/32 and 13/12?
48
Let d be 1/(8/(-10) - -1). Suppose 0 = -d*t + 2*t + 15. Calculate the lowest common multiple of 8 and t.
40
What is the lowest common multiple of 11 and (-70)/(-6) + 4*(-3)/18?
11
Let v = 59395 + -2969647/50. Find the common denominator of -17/18 and v.
450
What is the common denominator of -49/9 and 152/18 + -2 + 1?
9
What is the lowest common multiple of 4 and (-9)/(4/(16/(-6)))?
12
Let y(l) = -l**3 - 2*l**2 + 4*l + 3. Let o be y(-3). Let k = 8 + o. Let z = 7 + 3. Calculate the lowest common multiple of z and k.
40
Let u be (531/4)/((-6)/120). Let o = 21267/8 + u. Calculate the common denominator of 15/2 and o.
8
Let k = -77951/36 + 2166. What is the common denominator of -17/40 and k?
360
Let z be (12/8)/((-1)/(-6)). Suppose 4*u - 31 = z. Calculate the smallest common multiple of 3 and u.
30
Let b(y) = y**2 + 3 - y**3 - 3*y**2 + y**2 + 1. Suppose 6*t = 2*t + 36. What is the smallest common multiple of t and b(0)?
36
Let f(y) = -y**2 - 9*y + 4. Let o(q) = q**2 - 4*q - 6. Let c be o(6). Let a = c - 2. What is the lowest common multiple of f(-8) and a?
12
Let i = -7 - -9. What is the lowest common multiple of 9 and i?
18
Suppose -8 = -6*r + 28. Calculate the smallest common multiple of ((-2)/r)/(6/(-108)) and 8.
24
Calculate the smallest common multiple of 9 + -3 + (-12)/(-2*2) and 43.
387
Let k = 2724883/689062 + 2/31321. Let t = 109/11 + -1161/176. Calculate the common denominator of t and k.
176
Calculate the common denominator of 1557/(-252) + 1/(-4) and 113/6.
42
Let p = -67 - -102. Calculate the lowest common multiple of 8 and p.
280
Let o(d) = 2*d + 11. Let m(w) = 3*w + 16. Let p(g) = 5*m(g) - 7*o(g). Let n = -13 + 16. Calculate the lowest common multiple of p(n) and 14.
42
Let m be 2/8 - 2042/(-22806). Let l = m + 7/724. Let q = -2501/126 + l. What is the common denominator of 37/16 and q?
16
Suppose 4*i - 2 - 6 = 0. Find the commo