 - 2. Suppose -f - n = -4*s. Calculate the least common multiple of s and 30.
120
Find the common denominator of 97/96 and 4 + (2 - 730/96).
96
Let q = -3657517935113254/1117803133781115 - 2/44649615889. Let z = q - -9/1669. Calculate the common denominator of z and -113/6.
30
Let k be -34801994*((-3)/(-2) + -1). Let a = k - -13468373813/774. Let b = a + 94/43. Find the common denominator of 87/8 and b.
72
Suppose -3*b + 92 = -4*t, 4*b - 160 = t - 5*t. What is the least common multiple of 1534/65 + (-4)/(-10) and b?
72
Suppose -t + 6 = 2*t. Suppose 4*f - 7 = 5*b - t, 4*b - 2*f - 2 = 0. Suppose 150 = 2*x + b*x. What is the common denominator of 44/7 and x?
7
Let d(c) = c**2 - 2*c + 3. Suppose 2*q = r - 2*r - 31, 2*r - 4*q = -38. Let o = -7 - r. What is the lowest common multiple of d(1) and o?
18
What is the common denominator of -121/6 and ((-1)/12)/((-170)/1309)?
120
Let b = 76391/18 - 4240. Calculate the common denominator of b and 111/(-90) - 0/(-3).
90
Suppose 3*y - 5 = -3*l + 61, l = -2*y + 20. Calculate the least common multiple of l and 120.
120
Suppose 41*o = 35*o + 162. What is the smallest common multiple of 99 and o?
297
Let q(a) = 5*a**2 + 1. Let j be q(1). Suppose 5*m - 11 = -2*y + j, -y = 5*m - 21. Suppose 24 = m*s - 3*s. Calculate the lowest common multiple of 14 and s.
84
Let u = 1417 + -7038/5. Let o = 125794515949/1337 + -94087140. Let w = o - 4/191. Find the common denominator of w and u.
35
Let w = -1943/286 - -96/13. Let c = 25375 + -862817/34. Calculate the common denominator of c and w.
374
Let m be (-6)/(-21) + 8/(-28). Suppose 4*d = -20, m*d - d = -4*z + 21. Calculate the lowest common multiple of -6*(0 + (3 - z)) and 5.
30
Suppose 2 = j - 74. Let d = j + -74. Calculate the least common multiple of 8 and d.
8
Let j(n) = 2*n**2 - 16*n - 2. Let t be j(7). Calculate the common denominator of (-61)/t - (-2 - -4) and -83/14.
112
Suppose -11 = 4*s - 35. Let z be (-70)/s + (-3)/9. Calculate the common denominator of ((-6)/z)/((-10)/192) and 75/2.
10
Let t = -977 + 980. Calculate the lowest common multiple of t and 94.
282
Let y(a) = -4*a + 2. Let f be y(-1). Calculate the least common multiple of 22 and (8/6)/(f/54).
132
Suppose 0 = c - d - 20, 0 = -4*c + 2*d + 21 + 63. Suppose 2*j = -3*w - 2*w + 19, -54 = -2*j + 2*w. Calculate the smallest common multiple of c and j.
22
Let r = -1649/4 + 392. Let f = 4505 + -12670/3. Let o = -2555/9 + f. Find the common denominator of o and r.
36
Let x(v) = v + 15. Let o = -25 + 22. Calculate the least common multiple of 18 and x(o).
36
Let x = 7 + 2. Suppose u - 4 = p + 1, -17 = -u + 5*p. Suppose 0 = -6*q + u*q + 36. Calculate the least common multiple of q and x.
9
Calculate the common denominator of -109/70 and (-22)/(-33)*103/(-20).
210
Let k(j) = 8*j**3 - j + 2. Suppose 4*b + 4 = 8. Calculate the lowest common multiple of k(b) and 21.
63
Let d(f) = -f + 9. Suppose -2*x = 2*x - 48. Calculate the smallest common multiple of x and d(3).
12
Let p = 259/3 - 182/3. Let x = p - 1772/69. What is the common denominator of x and 73/10?
690
Suppose -3*a + 4 = a. Calculate the least common multiple of 2/(-3)*a*-15 and 12.
60
Suppose -3*i + m + 21 = -0, i = -5*m - 9. Let x(w) = w**3 - 4*w**2 - 9*w + 12. What is the least common multiple of x(i) and 6?
30
Find the common denominator of -3*(-47)/18*-1 and (1 - (-188)/55) + (-20)/(-110).
30
Suppose -3*y - 4*y = -112. Suppose -12 = -z + 4*z. Let h = z + y. Calculate the least common multiple of 2 and h.
12
Suppose 6*w - 109 = -25. What is the least common multiple of w and 35?
70
What is the common denominator of 3 + ((-53)/10 - 2) and (-489)/(-108) - 1 - 10/15?
180
Suppose 11 = 4*c - 5*b - 26, 4*c = 4*b + 32. What is the lowest common multiple of c and 1?
3
Let j = -144 + 194. Calculate the least common multiple of 130 and j.
650
Let v(m) = 57*m - 2. Let o be v(1). Let y = o + -53. What is the least common multiple of y and 10?
10
Calculate the common denominator of -99/10 and -11 + 17 + -2 - (-162)/(-4).
10
Let h = 20585 + -73262013/3559. Let v be (-8773635)/1245650 - 9/(-63). Let q = h + v. Calculate the common denominator of 3/2 and q.
10
Let m(q) = q + 21. Let d = -73 - -221/3. Calculate the common denominator of m(9) and d.
3
Let v = -302 - -221. Let f = -213 + 441. What is the common denominator of 9/(-6)*f/v and 46/11?
99
Let i = -88 - -133. Calculate the smallest common multiple of 15 and -1*(0 - i)*(32 - 31).
45
Find the common denominator of 3 + (-15)/10*(-1204)/(-567) and 91/306.
918
Suppose -166 = 6*r + 50. What is the common denominator of 166/(-3)*2/r - 3 and -21/5?
135
Suppose 66 = -r + 243. Calculate the smallest common multiple of 6 and r.
354
Let j = -1045/51 - 3/17. Find the common denominator of 25/194 and j.
582
Let w = 88539292/569 - 155605. Calculate the common denominator of -125/6 and w.
3414
Let r be 14/4 + 4/(3 + -11). What is the least common multiple of 12/(-36) - (-37)/r and 9?
36
Suppose -5*k = 97 - 27. Let q = 16 + k. Suppose 7 = 4*n - 3*s, -3*s + q = -n - 3. What is the least common multiple of 28 and n?
28
Let d = -2/8619 + -410807/137904. Find the common denominator of 145/84 and d.
336
Let k = 8470 - 42354/5. Let v = -10059 - -34532548/3433. Let s = v + -319271/6866. Find the common denominator of k and s.
10
Calculate the common denominator of -24/11 and 12/20 - (-3 - 70998/(-19380)).
7106
Suppose -117 = -19*m + 339. Calculate the least common multiple of m and 28.
168
Suppose p + 23 = -0. Let v = -1 - p. Calculate the lowest common multiple of 9 and 2/(-9) - v/(-18).
9
Suppose 0 = 5*t - 20, 3*g - 12 - 8 = -5*t. Suppose 3*u - 2*b - 46 = -g, -64 = -4*u + 4*b. Calculate the lowest common multiple of 1 and u.
14
Let a = -69405/22 + 3154. Calculate the common denominator of 87/20 and a.
220
Let n = 6 - 3. Let r = 3609 + -3601. Calculate the smallest common multiple of r and (3*1)/(n/8).
8
Suppose 0 = 4*l + 4*z - 60, -2*z + 0*z - 42 = -2*l. What is the smallest common multiple of 63 and l?
126
Let l = 46213/12 - 3843. What is the common denominator of l and (-1)/56*(88 + -22)*-4?
84
Let i = -226961 + 304127691/1340. Let p = -21/67 + i. Calculate the common denominator of p and -33/28.
140
Let y(r) = -11*r**2 - 117*r + 18. What is the lowest common multiple of y(-9) and 3?
180
Let g = 16200 - 323877/20. What is the common denominator of -41/32 and g?
160
Let a = -510 - -610. What is the smallest common multiple of 220 and a?
1100
Find the common denominator of -23/12 and (-85)/(-160) + 3 + -4.
96
Let i be ((1/(-2))/((-3)/(-48)))/2. What is the lowest common multiple of i/(-6) + 660/9 - 0 and 10?
370
Let b be (-16)/(-36)*(-23)/33. Let c = 2/33 - b. Calculate the common denominator of -53/27 and c.
27
Let n(a) = -2*a - 5. Let i be n(15). Find the common denominator of 91/12 and (-10)/i*777/108.
36
Suppose 426 = -4*w + 450. Calculate the smallest common multiple of w and 69.
138
What is the common denominator of 145/48 and 0/(-4 - -1) - 1452/1008?
336
Let n = -74 + 80. Calculate the lowest common multiple of n and 3.
6
What is the common denominator of -1/30 and (-30)/(-60)*82/(-3)?
30
Calculate the least common multiple of 8 and (-1503)/(-18) - (-2 + 15/10).
168
Suppose -16*i = -205 + 61. Suppose -1 = -2*o - 5. Let j(y) = -y**3 - y**2 - 2*y - 2. Calculate the smallest common multiple of i and j(o).
18
Let p = -6913/156 + 536/13. Find the common denominator of p and 12/(-54) + (-9)/3.
36
Let r = 35 - 21. Suppose 2*a - 83 = -5*o + 5, 0 = 3*a + 5*o - 137. Let d = -37 + a. Calculate the least common multiple of r and d.
84
Suppose 3*c + 10 = 8*c. Suppose -c*d + p = -271, -d + 2*p + 162 - 28 = 0. Calculate the lowest common multiple of d and 2.
136
Suppose -2*v + 181 + 345 = 0. Let n be 2/(-12)*12996/8. Let k = v + n. What is the common denominator of 29/14 and k?
28
Suppose 2827 = 6*l + 2341. What is the smallest common multiple of 12 and l?
324
Suppose 0 = -5*y - t + 13, y + 4*t - 20 = -3*y. Calculate the lowest common multiple of y and 6.
6
Let u(n) = n - 19. What is the lowest common multiple of u(35) and 50?
400
Suppose 3*p = -5609 - 6793. Let z = p + 78586/19. What is the common denominator of z and 40/7?
133
Calculate the least common multiple of ((-66)/21)/(4/(-28)) and (-1 - 0) + 4 + (-6)/(-6).
44
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