j(f) = f + 5. Let c(d) = -d**3 + 3*d**2 - d + 3. Let i be c(3). Let b be j(i). Calculate the lowest common multiple of 22 and y(b).
132
Let m be 1 + (-5*2)/(-1). Let p be (10 - -1)*-1*m. What is the common denominator of p*2/(-80)*-2 and -121/18?
180
Let w(r) = r**2 - 2. Let d be w(2). Suppose -4*a = f - 480, -f - d*a + 1892 = 3*f. Let l = f + -3787/8. Calculate the common denominator of l and -13/6.
24
Calculate the common denominator of -71/22 and (-147)/252*82/(-7).
66
Let z = 12060745/1456 - 132417/16. Let t = 19/91 + z. Find the common denominator of -55/12 and t.
24
Suppose 3*f - 7675 = 539. Let p = f + -19207/7. Let h = -2586 + 25901/10. Calculate the common denominator of h and p.
70
Suppose 2*w - 4 + 0 = -4*o, -6 = 3*o. Let f be (-2 - -4)*2 - 4. What is the least common multiple of w and (-1)/(-2 + f + 1)?
6
Let v(p) = -10*p - 18. What is the smallest common multiple of v(-6) and 21?
42
Let k be (-3)/(-6)*46/1. Suppose 0 = 5*y - 6*y + 1. What is the smallest common multiple of 20 and (k - 5) + y + 1?
20
Let y = 15746/17 - 927. Find the common denominator of y and -11/8.
136
Suppose -334 = 6*c - 1258. Calculate the lowest common multiple of c and 126.
1386
Calculate the common denominator of 5065/1100*-1 + 1*5 and 73/50.
1100
Let z = -670 - -706. What is the least common multiple of 104 and z?
936
Suppose 8*p + p + 144 = 0. Suppose 4*m + 2 = 3*m + 2*x, -3*x = 5*m + 36. Let s = m - p. Calculate the smallest common multiple of s and 6.
30
Let k = 2/1935 - -84491/3870. Find the common denominator of k and 18/(-10) + 142395/9900.
12
Suppose -p + 46 = -0*p - 2*w, 4*p - 158 = -5*w. What is the least common multiple of p and 60?
420
Let q = 467 + -459. Calculate the smallest common multiple of (12/5)/(1/5) and q.
24
Let q(o) = -17*o**2 + 27*o + 1. Calculate the lowest common multiple of 74 and q(1).
814
Let j = -4 + 26. Let i = -55 + 59. Calculate the lowest common multiple of i and j.
44
Let o be 16/(-28) - (-1062)/21. Suppose 2*u + 3*u - o = 0. What is the lowest common multiple of u and 8?
40
Suppose 465 = -4*r - 1967. Let c = -4847/8 - r. Find the common denominator of c and -127/18.
72
Let r = -1088 + 1116. What is the smallest common multiple of r and 28?
28
Let o = -40 - -50. Let k(d) = -d + 11. Let y be k(8). Suppose 2*l - 15 = -3*u, 0 = -u - y. Calculate the smallest common multiple of l and o.
60
Suppose -5*w + 142 = -143. Let k = w - 53. What is the least common multiple of 8 and k?
8
Calculate the common denominator of 6/(-5)*(19283/(-2145) - -9) and 23/225.
2925
Suppose -57 = -2*b + 3*b. Let f = b - -58. What is the least common multiple of f and 11?
11
Suppose 2*b - 2*m = 6*b, -2*m - 9 = -5*b. Let f = -74 - b. Find the common denominator of 3*20/f - 0 and 35/4.
20
Suppose 0 = 8*f - 2472 + 672. What is the least common multiple of f and 10?
450
Let l be 982/(-10)*3415/(-41346). Let j = l + 1/4594. What is the common denominator of j and -61/4?
36
Let q = -2/11047 - 541291/66282. Suppose 3*a = 2 - 8. Find the common denominator of q and (-4)/a - 138/(-40).
60
Find the common denominator of ((-1)/(-9))/((-8)/(-222)) and (-340)/24 + 27/18.
12
Let f(r) = -r**2 + 17*r + 18. Suppose 5*a - 52 = 38. Let t be f(a). What is the common denominator of (1 - (-356)/(-8)) + t and 56/3?
6
Let b(p) = -p**2 - 1 - p - 8*p + 3. Calculate the common denominator of ((-13)/(-6))/((-2)/(-8)) and b(-6).
3
Let p = 1509791/1413 + -1/2826. Let r(n) = 511*n + 1. Let i be r(-2). Let u = i + p. What is the common denominator of u and -17/14?
14
Let o(c) be the third derivative of c**5/3 + c**4/8 + c**3/6 + 102*c**2. Let v = -1 + 0. Calculate the least common multiple of o(v) and 18.
18
Let x be (-378)/(-4) - (-3)/(-2). Let a = x + -77. What is the lowest common multiple of 12 and a?
48
Let p = -7 - -3. Let a = -142/21 + -955/42. Calculate the common denominator of (-12)/(-105) - p/(-10) and a.
14
Let v(p) = -7*p + 6. What is the least common multiple of v(-6) and -10*6/15*36/(-8)?
144
Suppose -4*u = 2*f - 0*f - 86, 4*f = 4. What is the common denominator of ((-2)/(-8))/((-1)/((-222)/u)) and -95/12?
84
Suppose 0 = -c + 1 + 1. Let g(i) = i**2 - 2*i. Let k be g(c). Suppose k = l + 1 - 2. Calculate the lowest common multiple of l and 2.
2
Let a(v) = -1681 + 1641 + 4*v - 17*v. What is the smallest common multiple of a(-4) and 27?
108
Find the common denominator of -115/24 and ((-12)/(-64))/(7 - 261/108).
1320
Calculate the lowest common multiple of (-3)/(-2) + (-1)/(-2) and 24*8/30*(-5)/(-2).
16
Suppose 4*d = -d - 30. Calculate the common denominator of (d/4)/(30/(-23)) and (2145/52 + -20)*28/(-30).
60
Let f = 8 + -17. Let h = -3/1469 + -57270/10283. Find the common denominator of h and (-1)/(f/6*18/177).
63
What is the common denominator of -87/40 and -1 + (-338)/220 + -83 + 86?
440
Calculate the common denominator of (1/(-8))/(36/808) and -67/33.
396
Let b = 161220 + -2278522261/14133. Let i = b + -1257821/226128. Calculate the common denominator of i and 1/(-20) + 4 - 4.
80
Let h = -907 + 909. Suppose -3*x + 142 = 2*p, 2*x + 58 = 3*x - 2*p. Suppose 5*t + 0*t = 4*z + x, -4*t + 29 = -z. Calculate the least common multiple of h and t.
6
Suppose t - 5*a = -t + 10, -3*a - 6 = 0. Suppose 3*g - 631 + 235 = t. Find the common denominator of -30/11 and (-2)/8 + 451/g.
66
Let w = -249 + 271. What is the smallest common multiple of w and 130?
1430
Suppose 47*v - 3768 - 9345 = 0. What is the lowest common multiple of v and 6?
558
Let b = -1897315/3432 + -448/429. Let z = b + 542. Let t = -76 + 841/11. What is the common denominator of z and t?
88
Suppose 0 = 36*c - 40*c + 24. Calculate the smallest common multiple of c and 20.
60
Let t = -301 - -325. What is the smallest common multiple of t and 48?
48
Let a = -37 - -37. Suppose a = -3*y + 4*m - 9*m - 19, -3*y - 4 = 2*m. What is the lowest common multiple of 4 and y?
4
Let j = -8981017/240 + 187102/5. What is the common denominator of j and -89/30?
240
Let s = 15 - -3. What is the least common multiple of 24 and (s/(-8))/((-12)/32)?
24
Suppose 33 = 9*a - 21. Suppose 3*l - 48 = -4*q, -112 = l - 6*l + 4*q. What is the least common multiple of a and l?
60
Let g = -30 - -53. What is the least common multiple of (-2)/(-4) + g/2 and (156/(-91))/((20/42)/(-5))?
36
What is the common denominator of (-1 - 584/(-80)) + 2/(-4) and 16/9?
45
Suppose 3*b = -b - 16, 3*b = -5*s - 82. What is the lowest common multiple of 15 and ((-3)/4)/(s/336)?
90
Let l(m) = -4*m**2 - 2*m. Let t be l(3). Let u = t + 44. What is the lowest common multiple of 1 and u?
2
Let r(w) = w**3 + 8*w**2 + 9*w + 4. Suppose 7 = s + 3. Suppose s*i = -15 - 9. What is the least common multiple of 22 and r(i)?
22
Suppose -n = -6*n + 150. Let k = n + -31. Let s(a) = -20*a**3 + a**2 + 2*a + 1. Calculate the least common multiple of s(k) and 22.
220
Suppose -40*r - 104 + 824 = 0. Calculate the lowest common multiple of 210 and r.
630
Let b(f) = 8*f**3 + f**2 + f. Let d be b(-1). Let o = 0 - 7. Let r = o - d. What is the smallest common multiple of 10 and r?
10
Let b = 35785/13 + -2751. Calculate the common denominator of 1 + -1 - (-38)/(-8) and b.
52
Let s = -120 + 365. What is the least common multiple of 63 and s?
2205
Let s = 16149/4 - 234125/58. Calculate the common denominator of s and -29/36.
1044
Let t = 7 - 3. Let h(g) = g + 3. Let j be h(0). Suppose j*k + 15 = -s + 4*s, k = -s + 11. Calculate the least common multiple of s and t.
8
Let j = -171/4282 - -1344335/638018. Let w = j + 7717/2682. What is the common denominator of w and 23/39?
234
Let t = -2059 - -224429/109. Let x = 759/218 - t. What is the common denominator of 1 + (-36 - (7 + -5)) - -4 and x?
2
Let b be 3/(-15) - (-5)/25. Suppose -7*d - 200 + 46 = b. Let i = d - -34. What is the lowest common multiple of 28 and i?
84
Let m be (22/(-6))/((-1)/30). Suppose -16*w = -21*w + m. Calculate the smallest common multiple of w and 10.
110
Suppose 2*g = 5*g - 27. Suppose u - 14 + 3 = -q, 25 = 3*q - u. Calculate the lowest common multiple of q and g.
9
Suppose 31 = -6*t + 43. What is the lowest common multiple of 328 and t?
328
Let y = -77 - -56. Let z = -394 - -727/2. What is the common denominator of z and (-6)/y - (-4)/21*219?
2
Let z be 102/(-8) + (-7)/28. Let q = 16 + z. Suppose -7*j = q*h - 2*j - 60, 0 = 