80
Suppose 2*x - 3*m = 3 + 3, -6 = -2*x - m. Suppose -2*y = -s + 19, 4 = -2*s + y + 30. Calculate the smallest common multiple of s and x.
33
Suppose 2*k = 4*k - 18. Let h = k + -3. Calculate the least common multiple of 20 and h.
60
Suppose -3*b + 2*b + 33 = 3*t, 3*b = 5*t + 43. What is the smallest common multiple of 18 and b?
126
What is the common denominator of (1 - 2) + 2 + (-248)/(-72) and -21/41?
369
Suppose 0*j + 2*j = 20. Suppose 5*g - j = a, -3 = -4*g + 3*g. Calculate the least common multiple of a and 5.
5
Let f be 53499/(-42) + -2 + 0. Let s = f + 1278. What is the common denominator of -59/16 and s?
112
Suppose 5*p - 2*q = 27 - 0, 2*p - 5*q = 15. What is the least common multiple of p and 7?
35
Calculate the least common multiple of 3 and 4/10 + 161/35.
15
Suppose 0 = 5*b - 37 - 3. What is the lowest common multiple of b and 20?
40
Suppose 3*n - 38 = 10. Calculate the least common multiple of n and 40.
80
Let m be 4210535/425 - 2/2. Let l = m + -9906. Let y = -2683/340 + l. Find the common denominator of y and 73/14.
28
Let g(j) = -j**2 - 15*j - 2. Suppose -2*v - v + 9 = 0, s - 2 = -5*v. What is the smallest common multiple of g(s) and 4?
24
Let m(w) = -6*w - 4. Let x be m(-4). Suppose -u = -3*u + x. Suppose 4*s = 5*c + 78, -46 = -2*s + 2*c - 3*c. Calculate the smallest common multiple of s and u.
110
What is the least common multiple of (99/(-44))/((-1)/4) and 3?
9
Suppose -n + 0 - 1 = 0. What is the smallest common multiple of (-6)/(-4)*-2 + 5 and (12/14)/(n/(-21))?
18
Let u = -11 + 19. What is the least common multiple of 3 and u?
24
Calculate the common denominator of 6/12 - 43/(-18) and -17/3.
9
Let j = -81 + 84. Calculate the lowest common multiple of 9 and j.
9
Let a(u) = -2*u**3 - 11*u**2 - 6*u - 2. Let c be a(-6). Let f = c - 1113/16. Find the common denominator of -17/4 and f.
16
Let g = -7 - -10. Calculate the least common multiple of 2*1/g*33 and 10.
110
Let t = -51/15433573 + -495155169559/46300719000. Let a = t - -26/375. What is the common denominator of -32/7 and a?
56
Let y be (2 - 0) + (1 - 11). Let a = y - -16. Let n = -5 + a. What is the smallest common multiple of n and 8?
24
Let q = -133 - -153. Let z = 49 - 33. What is the least common multiple of z and q?
80
Let l = -230 - -2120/9. What is the common denominator of l and (-46)/(-4) - 5/(-5)?
18
Suppose 0 = -2*t + 7*t - 25. Let j = t - 1. Let u(q) = q**3 - 5*q**2 - 4*q - 2. What is the least common multiple of u(6) and j?
20
Let u = 77 + -122. Let w = -128/7 + 905/56. Calculate the common denominator of 122/u - (-2)/(-5) and w.
72
Calculate the least common multiple of 12/102 + (2136/51 - -2) and 40.
440
Let t = -14 - -45. What is the common denominator of t and -3/10?
10
Let s(a) = 2*a**3 + 5*a**2 + 3*a + 6. Let n be s(-4). Let c = 1171 + -9331/8. Find the common denominator of n/(-4)*(-33)/(-9) and c.
8
Suppose 30 = 4*j + 5*a, 0*a = 3*a + 6. Let x be 1*(3 + -2)*7. Calculate the lowest common multiple of (48/x)/(-4)*-7 and j.
60
Let t = -3617/910 - -55/14. Let s = t + -2/13. Calculate the common denominator of s and 63/2.
10
What is the common denominator of (-1 + (-13)/(-8))*9/(-15) and 41/70 + (-2)/7?
40
Let k = 20 + -35. Let l be (-1194)/k + 6/15. Suppose -5*w = -0*w - l. Calculate the smallest common multiple of w and 10.
80
Find the common denominator of ((-30)/(-8) + -4)*5 and 23/12.
12
Suppose 7*f - 9*f + 4 = 0. What is the smallest common multiple of f + 12/((-1)/(-1)) and 28?
28
Suppose -p - 3*p - 40 = 0. Let c be 364/10 + 4/p. Calculate the least common multiple of 8 and c/(-15)*10/(-3).
8
Let s be (-6)/((-1)/((-2)/(-3))). Let h = 3115/48 + -1237/16. What is the common denominator of h and s/6*33/(-12)?
12
Let d = -8591/18 + 477. Let w = -6815 - -136399/20. What is the common denominator of d and w?
180
Let m be (-196)/(-10)*(-3 - 2). Let o = -58 - m. Find the common denominator of 62/3 and (-2)/(-4) - 52/o.
15
Let g = -200 - -122. Let p = 226 - g. Calculate the smallest common multiple of 16 and (-2)/(-7) - p/(-14).
176
Suppose 3*a + m = -0*m - 35, -2*a - 5 = -3*m. What is the common denominator of (-307)/42 + 1/(-3) and (-4)/a + 742/(-80)?
56
Suppose -3*q = -21 - 3. Suppose -5*w + 2*x = 12, -w = 3*x + q + 8. Calculate the common denominator of 2 - (2 + 7/w) and -7.
4
Let m be 25 - 2/(3/3). Suppose 3*g - m = -5*l, 5*g - 4*l = -0*l + 100. Calculate the least common multiple of g and 22.
176
Suppose 0 = 4*o - o - 1008. Calculate the common denominator of o/44*(-2)/3 and 46/11.
11
Calculate the common denominator of -155/42 and 2/(-24)*316/5.
210
Suppose -5*f + f = 24. What is the common denominator of 79/2 and 1266/56 - f/42?
4
Suppose 5*c - 654 = 26. Calculate the common denominator of -107/18 and c/(-24)*(-6)/(-28).
126
Suppose 2*v + 10 = 0, -3*g + 0*v + 5*v = -34. Suppose g*j - 18 = -6. What is the smallest common multiple of 6 and j?
12
Suppose -2*n - 2*c + 16 = 0, -n - 2*n + c + 4 = 0. Suppose 5*v - 92 = o, 7*v = 4*v - n*o + 48. What is the common denominator of 2/(-4) + 92/v and 143/6?
18
Let y be 5/(10/(-8))*-1. Let i(c) = -c**3 + 5*c**2 - 6*c + 2. Let a be i(y). What is the lowest common multiple of 12 and -16*(0 - -3)/a?
24
Suppose 0 = -9*s - 3 - 69. Suppose -3*f - f = -72. Let o = f + s. What is the smallest common multiple of o and 5?
10
Suppose 2*p + 6 = 0, 0*p - 2*p = -2*m - 76. Let i = 2751/2 + -4162/3. Find the common denominator of i and m.
6
Suppose -5*f = -4 - 1. Suppose 4*o = 17 - f. Calculate the common denominator of 53/2 and (-69)/o + 1/(-4).
2
Find the common denominator of 29/(-14)*3 + (-4)/14 and -19/122.
122
Let c(q) be the second derivative of -2*q**5/5 + q**2/2 - 6*q. Calculate the least common multiple of 10 and c(-1).
90
Suppose 3*k - 2*k - 4*v + 10 = 0, 5*k = v + 7. Let j(i) = i**2 + 4*i + 3. Let p be j(-6). What is the least common multiple of k and (p - 1) + -2 + 0?
12
Suppose 6*k - k + 12 = -2*a, -3*k + 4 = 4*a. Let p be (k/6)/((-2)/3). What is the common denominator of p/(0 - (-22)/14) and -121/6?
66
Let m = -1247/54 - 2/27. What is the common denominator of m and 127/6?
6
Let k(x) = x**2 + 2*x - 2. Calculate the smallest common multiple of k(4) and 158.
1738
Let g(f) = -f**2 + 7*f - 7. Let b be g(5). Suppose -b*x - 96 = x. Find the common denominator of 1/10 and 201/(-18)*9/x.
80
Suppose -4*u - 2*a + 49 = -79, -160 = -5*u - 4*a. What is the least common multiple of u and 12?
96
Let q(w) be the first derivative of -w**2/2 + 5*w + 2. Let x be q(3). Find the common denominator of 1/x - (-176)/28 and 81/8.
56
Let b be (-1)/((-1)/(-6) + 0). What is the common denominator of (-209)/40 + b/15 and -43/10?
40
Let a = 1753 + -3417/2. What is the common denominator of a and ((-3)/30)/(6 + (-22620)/3775)?
12
Let t be (-6)/1472*4/14. Let j = t - -112071/12880. Find the common denominator of 6*(2 + 2/(-40)) and j.
10
Let f be (3/(-4))/((-2)/16). Let d = -4 + f. Let w = d + 6. Calculate the smallest common multiple of 20 and w.
40
Calculate the common denominator of (44/(-6))/(16/(-20)) and (-354)/20 - (-45 - -38).
30
Calculate the common denominator of 67/66 and ((-46)/168)/((-5)/20).
462
Let z = 2 + 5. Calculate the lowest common multiple of z and (1 + 9)/(1 - 0).
70
Let q(x) = -362*x**3 - x**2 + 1. Let f be q(-1). Suppose 0 = -4*w + 122 - f. What is the common denominator of -2 + (1 - 93/w) and -63/4?
20
Calculate the common denominator of -33/52 and 2 + (-260)/(-16) - 2.
52
Let h be (-2)/(-1) + (4 - 4). Suppose 3*z - 3*c - c = 29, h*c - 8 = 0. Calculate the common denominator of -6 and (-425)/z*(-3)/(-2).
2
Find the common denominator of -38/9 and 80/132 + -6 + 6.
99
Let m be 5/(15/6) - 42. Find the common denominator of -89/6 and (-4)/(-18) + m/36.
18
Let h = 118/38619 + -4511820331/386190. Let y = h + 11673. What is the common denominator of y and -77/6?
30
Let d be ((-4)/(-6306))/(2/3). Let t = -34693/10510 + d. What is the common denominator of t and -81/10?
10
Let k(t) = t**3 - t**2 - t + 1. Let i be k(0). Calculate the lowest common multiple of 11 and 2 + -2*i + 5.
55
Calculate the common denominator of -2*23*9/(-252) and -75/46.
322
Let x = 100391/10 + -10049. What is the common denominator of -5/22 and x?
110
Let n be -8 + (-1 - (-3 + -1)). Calculate the lowest common multiple of 12/n*(-5)/2 and 5.
30
Let x = 