
Calculate the common denominator of 101/4 and (4 - 52/16)/(234/268).
156
Suppose -40 = -4*a - 0*a. Suppose 5*j - 53 = -8. Let x = j - -7. What is the lowest common multiple of a and x?
80
Let f = -1684 + 8393/5. Find the common denominator of f and 41/657.
3285
Let r = 272 - -388. Calculate the common denominator of -67/2 and (-10)/(-25)*(-4075)/r.
66
Let d be 15 + -2 + 1*-3. Let t(n) = n**3 - 9*n**2 - 10*n - 7. Let o be t(d). What is the least common multiple of (-1 - (o - 2)) + 2 and 6?
30
Suppose 307 = -3*x + 487. Suppose 8*q - 27 = 53. What is the lowest common multiple of x and q?
60
Let p(j) = -3*j**2 - 30*j + 6. Let k = 2 - -2. Calculate the smallest common multiple of p(-10) and k.
12
What is the smallest common multiple of 1 and (-146)/(-6) - 0 - 2/6?
24
Calculate the smallest common multiple of (10/15)/(4/282) and 6.
282
Let o = 14732339/246 + -59887. What is the common denominator of 40/41 and o?
246
What is the least common multiple of (-12)/((-1)/34*(9 + -6)) and 40?
680
Let v be 11 + (-1 - 3) + 0. Suppose -3*x = -v*x + 72. Calculate the smallest common multiple of 12 and x.
36
Let z = 8081/6 + -113069/84. Calculate the common denominator of z and 1/3.
84
Suppose k + 14 = 5*r + 4*k, -k = 2. Calculate the least common multiple of r and 90.
180
Let i = -5767/35 + 816/5. What is the common denominator of -1/7 and i?
7
Suppose -31*x + 1288 = -8*x. Calculate the smallest common multiple of x and 4.
56
What is the least common multiple of -3 + -1 + 222 + -10 and 130?
1040
Suppose -s + j = 3, j - 11 = s - 2*j. Let y be s + 2*126/4. Suppose 5*u = u + y. Calculate the smallest common multiple of 6 and u.
48
Let n(i) = 2*i. Let j = 29 - 15. Calculate the least common multiple of j and n(7).
14
Let y(z) be the first derivative of z**2/2 + 20. Calculate the least common multiple of y(6) and (-1 - -14) + -1*1.
12
Let v(j) = -7*j**3 - 3*j**2 - 10*j. What is the lowest common multiple of v(-4) and 6?
1320
Let i(c) = 2*c**3 + 5*c - 2. Suppose 5*u = u - 5*b + 13, 4*u - 6 = 2*b. What is the smallest common multiple of 48 and i(u)?
48
Let t = -7965 - -3689. Let x be -5*(-3)/30*t. Calculate the common denominator of 89/20 and 12/(-54) + x/180.
20
Find the common denominator of ((-441)/(-224) - 3)/9 and -13/192.
192
Let a(h) = h + 5. Let m be a(-7). Let f = 1/83 - -3069/166. What is the common denominator of m + -53*1/(-4) and f?
4
Suppose 5*u + 8 = 13. What is the common denominator of u/8*(772/20 + -1) and 55/2?
10
Calculate the common denominator of -95/14 and 22*(-42)/96*(-54)/(-42).
56
Let c(l) = -l**3 + 5*l**2 + 7*l - 4. Let a be c(6). Let f(u) = 9 - 3*u**2 - 2*u + 6*u + 2*u**a. Calculate the smallest common multiple of f(5) and 10.
20
Let p = 7 + -19. Let h = 14 + p. Calculate the least common multiple of 11 and 3/2 - (-11)/h.
77
Suppose 0 = 5*w + 4*u - 433556, -u - 165578 = -2*w + 7847. Let p = w - 88879791/1025. Let i = p + -33951/14350. Find the common denominator of -77/20 and i.
140
Let f = 21 + -11. Suppose 7*k = f*k - 48. What is the lowest common multiple of 12 and k?
48
Let b(h) = h**3 + 11*h**2 - 11*h + 9. Let j be b(-12). Let q(s) = 3*s**2 - s + 4. Calculate the common denominator of q(j) and 119/6.
6
Suppose -u = -k - 0*k - 1, -2*u + 4*k + 2 = 0. What is the least common multiple of 48 and u?
48
Let b = 594587/22 - 27022. What is the common denominator of b and 85/18?
198
Let w = -3/3562 + -45408/8905. Find the common denominator of w and -40/3.
30
Let z = -136 + 540. Let p = z - 173. Let y = p + -1841/8. Find the common denominator of 35/16 and y.
16
Suppose 2*i + 4*m = 3*i - 1, -1 = -i - 3*m. Calculate the smallest common multiple of 2/(-5) + 72/5 and (-248)/(-18) - ((-2)/9)/i.
14
Let l = 1859/40 + -232/5. Calculate the common denominator of -29/12 and l.
120
Let w = -6 - -6. Suppose -3*k + 1093 + 69 = -i, -5*k + i + 1934 = w. What is the common denominator of k/(-60) - 5/(-15) and -21/5?
10
Let k(w) = -2*w**3 - 12*w**2 - w - 27. Calculate the lowest common multiple of 21 and k(-7).
546
Let w = 2/92685 - 4294417/556110. Find the common denominator of (2 + 1)/((-2)/15) and w.
18
Let m(p) = 125*p**2 + 14*p + 5. Let b be m(-7). Let f = b + -132629/22. Let n = 3573 + -28541/8. Find the common denominator of n and f.
88
Let o = -4 + -24. Find the common denominator of -115/14 and 1/(-1) + o/(-40).
70
Suppose 2*i = -4*f + 1076, -f + 167 = -3*i - 116. Calculate the lowest common multiple of f and 2.
542
Let i be (1/21)/((-36)/(-23456364)). Let f = 31026 - i. What is the common denominator of f and -83/2?
126
Let r = 27821/22 - 662647/198. Let z = r - -21581/72. Let u = z - -1772. Find the common denominator of u and -87/32.
32
Let a = 1192 - 1104. What is the smallest common multiple of a and 44?
88
Suppose 10*n - 188 = 14*n. Let b = n + 54. What is the smallest common multiple of b and 1?
7
What is the common denominator of 2 - (-15)/(-66)*(-87)/(-6) and -71/136?
1496
Find the common denominator of -32/85 and (-2)/(-8) - (-9 + (-12493)/(-1326)).
1020
Calculate the common denominator of -131/30 and 7/1 - 55160/7875.
450
Let l(n) be the first derivative of n**3 + 7*n**2/2 + 13. Let s = 40 + -28. What is the smallest common multiple of l(-3) and s?
12
Suppose 2*m - 60 = -3*m. Let u = m - 4. Suppose 6*n - 17 = 43. Calculate the least common multiple of u and n.
40
Suppose -341*n = -342*n + 490. Calculate the lowest common multiple of n and 1.
490
Calculate the smallest common multiple of 628 and (228/133)/((-3)/(-21)).
1884
Suppose 6*i = 228 - 36. What is the least common multiple of i and 64?
64
Let y = -2799 - -22313/8. What is the common denominator of (-594)/4*(-2)/60 and y?
40
Find the common denominator of -117/14 and (9/80)/((-6)/(-12)).
280
What is the common denominator of 77/20 and ((-166)/(-8)*2)/(-11)?
220
Let t be 898/24 - 2/(-6). Let q = t + -15/2. Let j = -47 + q. What is the common denominator of j and -31/4?
4
Let i = -10 + 24. Let x be i/(-6)*(1 - 46). Find the common denominator of (-1 - x/(-2)) + -1 and 81/20.
20
Suppose -55 = -6*g + 77. Let y(c) = -c**3 + c**2 - c + 4. Let t be y(0). Suppose -3*n + 20 = -t. What is the smallest common multiple of n and g?
88
Let z = 15347/6 - 25519/12. Let v = z - 426. Find the common denominator of 7/3 and v.
12
Let t = -390 - -12824/33. Find the common denominator of t and 35/132.
132
Let i = -473/134 - -2/67. Suppose -4*g + 5*p - 6 = 11, -4*g = 3*p + 41. Let u = i - g. What is the common denominator of -34/3 and u?
6
Let v(m) = -4*m - 7. Suppose z - 19 = -7. Suppose 0*h - 4*h = -z. Calculate the least common multiple of h and v(-2).
3
Suppose 36*b - 5993 - 3367 = 0. What is the least common multiple of 10 and b?
260
Suppose u - 12 = 2*k, 8 = k - 3*k. Calculate the lowest common multiple of ((-40)/u - 0)*-2 and 20.
20
Let x be 518443/1555320 - (-14)/(-42). Let o = 14049697/13997880 + x. Let u = o - -35/27. Find the common denominator of u and -103/6.
30
Suppose -5*k = -w - 0*k + 22, 4*w = 3*k + 3. Let a(j) = 48*j**2 - 5*j - 2. Let l be a(w). Find the common denominator of 0 and l/63 - (-4)/(-14).
9
Let g(c) = 4*c + 10. Let s be g(-9). Let y = s + 11. Calculate the smallest common multiple of 4 and 38/10 + (-3)/y.
4
Let q(u) = 41*u**2 - 2*u - 3. Suppose 5*l + 19 = i, l = -2*i - 2*l - 14. What is the common denominator of q(i) and -7/9?
9
Let b = -8 - -12. Suppose -4*c - 4 = b. What is the common denominator of 4/36*69/c and -81/16?
48
Let r(s) = -s**2 + 12*s + 5. Let v be r(12). Suppose -11 = -3*i - v. What is the common denominator of -85/2 and i/(-8) + (-318)/216?
18
Let o = -240/12241 + 327044957/110169. Let x = -2972 + o. What is the common denominator of -40/9 and x?
9
Suppose -3*h + 180 - 60 = 0. Let d be (-1)/(-4) - (-550)/h. Suppose -v + 0*v = -d. Calculate the least common multiple of v and 4.
28
Let a = -21274 - -2042273/96. What is the common denominator of a and 13/54?
864
Let w be (-12099)/210 - (-2)/(-7). Let o = w + 348/5. Calculate the common denominator of o and 3/(-9) - (-574)/(-132).
110
Suppose 3*d + d - 16 = 0. Let o be (-11)/(165/10)*(6 - -153). Calculate the common denominator of 1/(d - (-444)/o) and 47/10.
10
Suppose -3*b + m = -320, 73*m - 400 = -4*b + 69*m. What is the lowest common multiple of 135 and b?
945
Let s = 124 - 16. What is the smallest common