r and f?
10
Let g = -305 - -359. Calculate the lowest common multiple of g and 4.
108
Let x(p) = p**2 - 7*p + 6. What is the smallest common multiple of x(8) and 26?
182
Let g = -663 + 463. Find the common denominator of (-1090)/g - (-3)/(-5) - 1 and -83/44.
220
Find the common denominator of 31/20 and (-8)/(-6) + (2645/(-150) - -8).
20
Let x = 341/26 + 9387/104. Let u = x - 98. What is the common denominator of (-1859)/(-312) + (-1)/3 and u?
8
Suppose -5*u + 3*x - 9 = 1, -u + 11 = 2*x. Suppose -u = -2*v + 35. Let o(d) = -14*d**2 - 197*d + 8. Calculate the lowest common multiple of v and o(-14).
198
Let n = -9 - 278. What is the common denominator of n/(-18) + (-2)/(-9) and 131/24?
24
Suppose 2*p - 3*p - 4*f + 10 = 0, 0 = 3*p + 3*f - 3. What is the least common multiple of 22 and (p/4)/(12/(-768))?
352
Let z = -1519142 + 191414191/126. Let j = -153/7 + z. What is the common denominator of -38/9 and j?
18
Let z(p) = p**3 - 5*p**2 + p + 10. Let m be z(5). Suppose 0*c = m*c - 195. What is the lowest common multiple of c and 3?
39
Let v = -17903 - -2166295/121. Calculate the common denominator of v and 21/22.
242
Suppose i - 30 = -i. What is the common denominator of 15/8 and ((2 - 4) + 6)/(18/i)?
24
Suppose 0 = 5*p - 180 - 310. Suppose -9*q = -2*q - p. What is the least common multiple of (91/(-28))/(2/(-32)) and q?
364
Suppose -604 = 11*s - 1913. What is the lowest common multiple of s and 51?
357
Let w = 8956 - 161149/18. Suppose -3*p + 33 + 19 = -2*k, -k - 26 = p. What is the common denominator of w and 1 + -2 + k/44?
198
Suppose -5*o + 6 = -4. Let f be (-335)/10 + 1/o. Find the common denominator of (6/(-4))/(f/(-68)) and 8/7.
77
Let x be (15/10)/(12/128). Suppose 4*i - 4 = -x. Calculate the smallest common multiple of i*1 - (-3 + -10) and 6.
30
Let a(x) = -x**2 - 7*x + 4. Suppose c = -5*y + y + 6, 5*y - 45 = 5*c. Let f be (-4)/3*(-27)/c. Calculate the least common multiple of 3 and a(f).
30
Suppose 3*b + b = 28. Let y = 19 - 2. Suppose -s = -0*s + 3*x - 2, 3*s - 2*x - y = 0. Calculate the least common multiple of s and b.
35
Let s = 1753/156 + 35/26. Find the common denominator of s and -115/6.
12
Let i = 104892 - 311201/3. Let l = i - 1147. Find the common denominator of l and (0 - (-9)/(-12)) + 140/(-32).
24
Let l = 14 - -22. Calculate the common denominator of (-370)/336 + (-7 + 15)/24 and (-3)/(-2)*(-50)/l.
168
Let a(b) = b**3 - 2*b**2 + 3*b - 2. Let o be a(2). Let h(f) = f**2 + 5*f - 6. Let c be h(o). What is the common denominator of 45/(-36)*(-556)/c and -53/2?
6
Let c(r) = -r - 12. Let v(w) = -w - 1. Let k(x) = c(x) - 4*v(x). Calculate the lowest common multiple of 40 and k(6).
40
Let j = 12 - 6. Suppose 0 = t + 5, j*r - 3*t = r - 435. What is the common denominator of 57/10 and 4/(-10) + 783/r?
10
Let v = -18055/6 + 3000. Let b = -1/5195 - -63381/10390. What is the common denominator of v and b?
30
Suppose -4*t + 120 = 5*z + 41, 38 = 2*t + 2*z. Calculate the least common multiple of t and 28.
112
Let g = -180/2677 - 1958461/56217. Let z = -215/6 - g. Let t = -2477/16 - -155. Find the common denominator of z and t.
112
Let m = 3 - 1. Suppose 0 = x + m*x + 15. What is the common denominator of x and (-2 - -4) + (4 + 0 - -4)?
1
Suppose -18*b - 35 = -23*b. Suppose -2*v = -28 - 16. What is the least common multiple of v/6 - (-2)/(-3) and b?
21
Let o = 10027 - 140459/14. Find the common denominator of 23/172 and o.
1204
Find the common denominator of 3/351*6*42/(-72) and 35/18.
234
Suppose -37 = -5*f + 2*y, f - 1 = 2*y + 8. Suppose -12 = -f*q + 3*q. What is the lowest common multiple of 44 and q?
132
Let k be 3 - (4/(-3))/(8/252). Let d = -30 + k. What is the lowest common multiple of d and 30?
30
Let v be (2 - 3 - 2)/(-3). Calculate the least common multiple of (15/6)/((-1)/2 + v) and 10.
10
Suppose 5 = -5*w - 5, 4*w = 4*m - 52. Suppose -4*x - 1 = -3*i, 5*i + 120*x = 125*x + 10. What is the least common multiple of m and i?
77
Let n be 4558182/(-90)*(-3)/(-24118). Let k = -138264 - -1667325574/12059. Let v = k + n. Calculate the common denominator of -1/10 and v.
10
Let i = -50 - -50. Calculate the common denominator of 29/3 and i + ((-57)/10)/(18/(-25)).
12
Suppose 4*q = -l + 9, -3*q - q + 3*l + 21 = 0. What is the least common multiple of (-6)/(-39) - (-768)/234*q and 8?
40
Suppose 5*g = 5*z - 50, 0 = 2*z - 6*g + 10*g - 14. What is the lowest common multiple of 64 and z?
576
Let k = 110949/22 - 5041. Calculate the common denominator of k and (0 + 2)*79/16.
88
Let o(f) = -15*f**3 + 8*f**2 - 21*f - 18. Let i be o(9). Let b = i - -105053/10. Calculate the common denominator of ((-59)/42)/(2/(-6)) and b.
70
What is the common denominator of -5*1*1 + (-20132)/(-5040) and -41/5?
180
Let o(q) = -q**2 + 2*q. Let f be 3 + 0/(-1) + -3. Let b be o(f). Suppose b = 2*v - 24 - 20. What is the smallest common multiple of 18 and v?
198
Suppose 0 = -4*w + 7 + 5. Suppose -3391*j = -3434*j + 2451. Calculate the lowest common multiple of j and w.
57
Let g = 37819018/5379 - 77340/11. Let m = 56543/6846 + g. Let y = -2127 + 16987/8. Find the common denominator of y and m.
56
Suppose -34 = 9*i + 20. What is the common denominator of 28/5 and 10/15*i/36?
45
Let z be (9/(-4))/((-12)/(-24))*2. Calculate the lowest common multiple of 12*1*(z/2)/(-9) and 5.
30
Let s = -5553 + 16469. Let n = s + -316519/29. Calculate the common denominator of -23/3 and n.
87
Let n = 41049 + -1149255/28. Calculate the common denominator of -63/20 and n.
140
Let u(p) = -2*p**2 + 20*p - 26. What is the smallest common multiple of u(8) and 756?
756
Suppose 3*x - 148 = -s, -5*x - 5*s = -209 - 31. What is the common denominator of (11/3)/(28/(-12) + -1) and (-404)/x*(-5)/12?
30
Let l be (2/(-6))/(8/(-888)). Suppose -4*j - 3*k + l = 0, -5*j - 4*k = -j - 32. What is the smallest common multiple of 7 and j?
91
Let w = -504 - -576. What is the smallest common multiple of 60 and w?
360
Let n = -42 + 42. Calculate the least common multiple of (-9 + n)/(5/(-15)) and 33.
297
Find the common denominator of (128/(-10))/(12/(-20)) and 6/(-4)*5/(495/1298).
3
Let v = -63 + 148. Let l = 103 - v. What is the smallest common multiple of l and 30?
90
Suppose 0 = 7*u - 10*u + 72. What is the lowest common multiple of u and 81?
648
Calculate the common denominator of (-21)/(-490)*2020/576 and -7/18.
2016
Let p(z) = -z - 10. Let r be p(-4). Let s = r - -24. Calculate the smallest common multiple of s and 2.
18
Let d = 296 - 288. Suppose 4*p - l = 4*l + 44, 4*p = 3*l + 36. What is the smallest common multiple of d and p?
24
Let n = 27 - 21. Suppose -464 = -n*h - 2*h. What is the smallest common multiple of h and 10?
290
Let c be (-7 - -4)*-1*-1. Find the common denominator of c + ((-30)/(-77))/((-4)/(-49)) and 101/16.
176
Let a = -789/2 - -1205/3. Find the common denominator of a and 55/171.
342
Suppose 4*a = -4*b - 61 + 161, 3*b = 4*a + 96. What is the smallest common multiple of 84 and b?
84
Suppose -8*s = -3*s + 3*f + 25, 4*f + 30 = -5*s. Let o be 215/25 + s/(-5). Let v = -1 + o. What is the least common multiple of v and 10?
40
Let n = -65845/18 + 3659. Find the common denominator of n and -46/75.
450
Let o = 1/287 + 3155/574. Let d be (-4 + 4160 + 1)*(-3)/60. Let g = d + 208. What is the common denominator of g and o?
20
Let t = -3/28 - -13/14. Calculate the common denominator of (-13)/195*(-1460)/(-8) and t.
84
Let r = 37/41 - 3227/1804. Find the common denominator of 107/20 and r.
220
What is the smallest common multiple of (-7)/77 - (-1519)/11 and 33?
1518
Suppose 0 = -16*j - 5*j + 588. What is the lowest common multiple of j and 91?
364
Let j = 20 - 158. Let d = j - -226. What is the common denominator of -13/12 and -2 + 4/(d/135)?
132
What is the common denominator of 23/18 and (57/(-12))/((54/84)/(-3))?
18
Suppose 0 = b + 1, 3*h - 56 - 33 = 5*b. Suppose 3*t - 5*t + h = 0. What is the smallest common multiple of 16 and t?
112
What is the smallest common multiple of (15/(-4))/((-581)/56 + 10) and 15?
30
Let r(y) = -y + 18. What is the least common multiple of r(12) and 92?
276
Let c(a) = 3*a - 4. Suppose 0 = 3*z + n - 24, -3*z - 5*n + 3 = -9. Calculate the lowest common multiple of z and c(4).
72
Let z be 20*(45/20 + -2). Suppose -z*g + 4*c = -g - 32, 5*c - 44 = -2*g. Suppose -4*h - g = -2*b +