60
Let x = 20 + -4. Calculate the least common multiple of x and 8.
16
Calculate the common denominator of (7 - 0) + 717/(-108) and -83/234.
468
Calculate the common denominator of -73/424 and -16 - -2 - 4/(-9 + -7).
424
Suppose 9 = 2*z - 23. Let b = 1022 + -982. What is the least common multiple of z and b?
80
Let x(k) = -2*k**2 + 24*k + 6. Let q(d) = -3*d - 35. Calculate the lowest common multiple of q(-15) and x(12).
30
Let i = 1/457970 + 1255753693/21524590. Let x = i - 2172029/33464. Let k = x - -17/89. Find the common denominator of -3/8 and k.
8
Let x(n) = -n + 12. Let f be x(8). Let j be -11 + (16/(-4))/f. Let z = j - -30. Calculate the smallest common multiple of 14 and z.
126
Let n = -8 + 8. What is the smallest common multiple of ((-12)/15 + 1)*(5 - n) and 6?
6
Let z be (-13)/(-1)*(2 - 1). Suppose -4*y - 11 = z. What is the common denominator of (y/(-8))/(27/(-8)) and 81/8?
72
Let c = 71025/16 - 4436. Find the common denominator of c and 3/120 + (7 - 6).
80
Let c(h) = 2*h**2 + 83*h + 278. What is the lowest common multiple of c(-42) and 80?
320
Let l(j) = 267*j**2 - 14*j. Let x be l(-14). Let c be x/44 - (-3)/6. Let z = 1194 - c. Find the common denominator of -21/4 and z.
44
Let m = -18 + 21. Let g = 6007 + -66021/11. What is the common denominator of 24*-4*m/27 and g?
33
Let f(i) = -i - 10. Let j be f(-3). Let u be (j + 5)/(2/(-14)). Let s = u + -5. Calculate the lowest common multiple of s and 3.
9
Let w(z) = 804*z + 3. Let d = 13 - 17. Let g be w(d). Let p = g - -12763/4. What is the common denominator of 47/10 and p?
20
Let r = -24700 + 444491/18. What is the common denominator of r and (5983/(-372) + 21)*(-4)/6?
18
Let j(n) be the second derivative of -n**5/20 - 13*n**4/12 + n**3/6 + 11*n**2 + 28*n. What is the lowest common multiple of j(-13) and 12?
36
Let t be 1356/(-27) + (-10)/(-45). What is the common denominator of 77/20 and (59/(-35))/(20/t)?
140
What is the common denominator of (-6)/((-36)/161) + (-3)/9 and -32?
2
Suppose 3*k = -k + 360. What is the lowest common multiple of 45 and k?
90
Let x be -2*3*2/4. Let b be (98/(-34) - x)/(-2). Let n = 27/170 + b. What is the common denominator of 43/14 and n?
70
Suppose 164 - 2 = 3*z + p, -2*p = -3*z + 162. Calculate the least common multiple of 10 and z.
270
Let p = 6772 + -6762. Let m(f) = -2*f. What is the lowest common multiple of p and m(-5)?
10
Let d be -2770 - (-3 + (-3 - -2)). Let y = d + -7187. Let r = 79525/8 + y. Calculate the common denominator of 31/10 and r.
40
Suppose -8 - 42 = -25*p. Calculate the least common multiple of 7 and p.
14
Suppose -5*b + 13 + 77 = 0. Suppose 0*h + 80 = -10*h. Let t = h + b. What is the least common multiple of 10 and t?
10
Let w(a) = -21*a + 4. Let b be w(4). Find the common denominator of 5/(b/(-146)) + -4 and -61/14.
56
Let d = -78/67 + 2600/737. What is the common denominator of -43/34 and d?
374
Calculate the common denominator of 2 + -7 + 89*(2/27 - 0) and (-23)/48*2 + 0.
216
Calculate the common denominator of 17/264 and ((-106)/(-10) - 11)/(24/485).
264
Suppose 3*d + 1944 = 12*d. Suppose -8*k + 0*k + d = 0. What is the smallest common multiple of 30 and k?
270
Let f(v) = -v**3 + 4*v**2 + 18*v - 16. What is the smallest common multiple of 664 and f(6)?
3320
Let i = 244 - 180. What is the smallest common multiple of i and 8?
64
Find the common denominator of 121/42 and (-10590)/875 + 6 + 6.
1050
Let a = -222 - -227. Suppose -l + 0 = -5. What is the lowest common multiple of a and l?
5
Let i = -3176 + 3186. What is the smallest common multiple of 4 - (0 + -1 + 0) and i?
10
Let s = 17 + -12. Suppose s*a + 275 = 10*a. Suppose a = 5*g + f - 0*f, -15 = -4*g + 5*f. What is the lowest common multiple of g and 14?
70
Let g(m) = m**2 - 6 - 1 - 36*m + 35*m. Suppose o = 2 - 5. Calculate the smallest common multiple of 2 and g(o).
10
Let t = -5185411/175380 + -146/2923. Let c = t - -431/12. Suppose 2*m + 2*m - 176 = 0. Calculate the common denominator of m and c.
10
Suppose 0*p - 308 = -4*p. Let b = -16 + 34. What is the common denominator of -83/20 and 4 - p/b - 3?
180
Suppose 2*h + 21 = 61. Suppose 15*u = 10*u + 540. Suppose -32 = -10*s + u. Calculate the smallest common multiple of s and h.
140
Let o be 1/((-19)/5 + 4). What is the common denominator of (o - 1) + 26/(-36) and 71/12?
36
Suppose 8*y - 4*y + 3*w = 260, 0 = 3*w. Suppose -y*a + 16 = -61*a. Calculate the least common multiple of 24 and a.
24
Let s = -365381399017/36174071250 - -926/3215473. Let g = s + 2/5625. Find the common denominator of (-12)/(-14)*((-4)/(-6) + -1) and g.
70
Let c(t) = 0*t + 2*t - 3*t. Let f(l) = -2*l + 26. Let u(b) = -4*c(b) - f(b). What is the lowest common multiple of u(6) and 42?
210
Let h = 11 - 6. Suppose -3*t - 5*z = 9, h*t + 3*z = 3 - 2. Calculate the lowest common multiple of t and 9.
18
Suppose 54 = 3*b - 6. What is the common denominator of (-62)/b*(2 + 2/(-4)) and 83/32?
160
Find the common denominator of (-6 - 156/(-320)) + 7 and -137/60.
240
Suppose 13*m + 0*m - 155987 = 0. Let s = m + -288053/24. Calculate the common denominator of s and -83/12.
24
Suppose 26*c - 90 = -12. Suppose -40 = 5*j + 3*l + 2*l, j = 3*l - 24. Calculate the lowest common multiple of c and (-2)/8 - 135/j.
33
Suppose -34 = -3*y - c, 2*c = 5*y - c - 38. Let o(z) = 30*z. Calculate the smallest common multiple of o(1) and y.
30
Let t be 134/6*335/10. Let j = -340 + -406. Let g = t + j. Calculate the common denominator of g and -15/4.
12
Let p(x) = -33*x - 12. Let t be p(-4). What is the common denominator of 1/32 and (-46)/12*(486/t)/9?
160
Suppose -191*o + 182*o + 36 = 0. What is the smallest common multiple of 84 and o?
84
Suppose 0 = 3*h - n - 25, 2*h - 2*n + 20 = 6*h. Find the common denominator of 3/5 and h/(-28) - 154/8.
10
Find the common denominator of 71/138 and ((-3)/(-2))/((-3906)/5456).
966
Find the common denominator of 2573/3652 + 2/(-3) and 149/24.
264
Suppose 0 = -2*l + 12 - 4. Find the common denominator of (-611)/42 - (78/(-21) + 4) and (59/l)/((-9)/(-6)).
6
Suppose 3*q + c - 40 = 0, 5*q - 9*q - 3*c + 50 = 0. What is the lowest common multiple of q and 3?
42
Let q(d) = -d**2 - 14*d + 28. Let k be q(-14). Find the common denominator of 71/54 and -2 - (-48)/k - (-1475)/630.
54
Suppose 1437 = 4*t - 5*l, -5*t - l + 1803 = -5*l. Let q = t + -2189/6. What is the common denominator of -9/4 and q?
12
Let w be 1 + 12/(-9) + 109/3. What is the least common multiple of 12 and w + -2 + (-3 - -5)?
36
Calculate the common denominator of ((-37)/(-1110))/((-6)/265) and -133/180.
180
Let v = 6 + -2. What is the common denominator of 1 - (45/(-10) + -2) and v/16*(-5)/(-4)?
16
Let x = -3071/6 - -1577/3. Calculate the common denominator of x and ((-58)/44 - -1)*-5.
66
Let j(h) = h**3 + 18*h**2 - 93*h + 11. Calculate the least common multiple of j(-22) and 3.
363
Suppose 0 = 4*l - 9*l - 10. Suppose 2*c + 2*c - 8 = 0. What is the smallest common multiple of 7 and c/(24/(-13) - l)?
91
What is the smallest common multiple of (26/(-39))/(2/(-1374)) and 3?
1374
Let j = 9331/16 + -584. Suppose -h - b + 245 = 4*b, -5*h + 5*b = -1375. Calculate the common denominator of (-2733)/h - 2/(-9) and j.
80
Calculate the common denominator of (528/(-77))/(-2)*(-6)/20 and -17/35.
35
Let o be ((-18)/15)/(3/(-1065375)). Let v = o + -5976947/14. Let l = 770 + v. Find the common denominator of l and 31/16.
112
Suppose -m + 2 + 3 = 0. Let n = -405 - -414. Calculate the smallest common multiple of n and m.
45
Suppose 3*y = -0*y + 1227. Let x = y - 285. What is the least common multiple of x and 14?
868
Find the common denominator of 10224/224 + 4 + 145/(-35) and -101/238.
238
Let k = 85 + -83. Suppose -k*y - 20 = -12*y. What is the lowest common multiple of y and 30?
30
Calculate the common denominator of -77/6 and (122/4 + -2)/((-108)/84).
6
Suppose -4*m - 2*h = -118, -5*h + 4*h = m - 31. What is the least common multiple of m and 4?
28
Let k(u) be the second derivative of -u**5/20 + 13*u**4/12 + 7*u**3/3 + 16*u**2 + 6*u. Let a = -9 - -18. Calculate the common denominator of a and k(14).
1
Let l = 1065373/175152 + -1784/267. Let c = l + -19/41. Calculate the common denominator of c and 19/8.
16
Suppose 9*a - 8 = 5*a. Suppose 18 = -0*d + 3*d - 4*j, 0 = 4*d + a*j - 46. Find the common denomina