12.
1904
Let q = 2083 - 2065. Calculate the least common multiple of q and 106.
954
Let y = 5733 - 429922/75. Calculate the common denominator of 7/15 and y.
75
Let s(p) = 25*p + 1. Let u be -1*(4292/(-5) + -1). Let w = u - 854. Calculate the common denominator of w and s(1).
5
Let n be 2/((-2)/(-29) - 0). Let f(a) = -a**2 - 24*a + 198. Let q be f(7). Let i = n + q. What is the smallest common multiple of 4 and i?
20
Let f = 2206/3 - 17555/24. Let w be 4/(-8)*(-4 - (-214628)/28). Let a = w + 3827. Find the common denominator of f and a.
56
Let t(s) = -s**3 + s**2 - s + 300. Let z be t(0). Calculate the common denominator of -121/12 and (-1)/(-5) + (-2710)/z.
12
Let g be (2/18)/(50/(-17499045)). Let c = g - -38882. Find the common denominator of -1 - 0 - (-17)/10 and c.
30
Let u = -272 + 284. Calculate the lowest common multiple of u and -1 + -1 + 6 + -2.
12
Find the common denominator of -20/9 and 710/(-6)*20/(-2700).
81
Calculate the common denominator of 4 + (4/(-228)*-87)/(-1) and 76/3.
57
Suppose 2*w + w = 45. Suppose d = 15*d - 364. What is the smallest common multiple of (-3)/w + (-62)/(-10) and d?
78
Let w = -6536833/407 - -16061. Let o = -14353/7326 - w. What is the common denominator of o and 7/(-2)*14/4?
36
Suppose 14 = 2*w - 2*t, 0 = -5*w - t - t + 28. What is the lowest common multiple of w and (-1)/((-23)/(-8) + -3)?
24
Let p = -154 + 178. What is the least common multiple of p and 16?
48
Let d = -5908/5 - -1178. Let s = -341 + 1001/3. What is the common denominator of d and s?
15
Suppose d - 2944 = 1504. Calculate the smallest common multiple of d and 20.
22240
Let w(b) = b**2 - 35*b + 19. What is the smallest common multiple of 15 and w(36)?
165
Let i = -809/14 - -198/7. Calculate the common denominator of -50/11 and i.
22
Find the common denominator of ((-8)/(-36))/(6 - (-9804)/(-1602)) and 101/176.
528
Suppose 2*v = v + 5. What is the smallest common multiple of 15 and (9 + v + -2)/(2/3)?
90
Let r = 39 + -18. Let f = r + -13. Suppose -148*v = -150*v + 10. Calculate the smallest common multiple of v and f.
40
Let j be (24/(-15))/((-198)/765). Let z = 73/99 - j. What is the common denominator of -17 and z?
9
Let o = -239/539 + -5/49. Let f = 109/9 + -523/90. What is the common denominator of f and o?
110
Let g(w) = w**2 + 3*w + 5. Let i(t) = -2*t - 2. Let q be i(1). Suppose 0 = -0*f + f - 10. Calculate the lowest common multiple of g(q) and f.
90
Let l = 243 + -241. What is the lowest common multiple of 15 and l?
30
Let c be 147/15 - (-2)/10. Let m = -6 + c. Suppose 6*n - m*n - 12 = 0. What is the least common multiple of n and 10?
30
Let j = 93 - 51. Suppose 63 = 5*i - 4*d, 2*i + 6*d - 2*d = j. Calculate the smallest common multiple of i and 30.
30
Let g = 13 - 23. Let x = 8 + g. What is the smallest common multiple of 4/(x/(-12)*4) and 4?
12
Suppose -15*c = -9*c - 54. What is the smallest common multiple of 69 and c?
207
Let j = -368 + 410. What is the lowest common multiple of 54 and j?
378
Suppose -2*j + 18 + 0 = 0. What is the smallest common multiple of j and 258?
774
Let r be (-2)/((-10148)/(-7615)) - 219/(-146). Let a = -1773972365 - -31503975146328/17759. Let b = r + a. Find the common denominator of b and 55/9.
63
Suppose 0*s - 3 = -3*s. Let u be ((-4)/(-173216))/(s/243601). Let w = 2/5413 - u. What is the common denominator of 67/10 and w?
40
Suppose 4*q + 3*m + 31 = -23, -3*m + 42 = -4*q. Let b(p) = -p**3 - 12*p**2 - 2*p - 20. Calculate the smallest common multiple of 70 and b(q).
140
Let a(j) = 11*j**2 - 52*j - 10. Calculate the smallest common multiple of 2099 and a(5).
10495
Let m = 3237313/1675740 - 2/38085. Let x = 200/69 + -16349/2760. What is the common denominator of x and m?
440
Let d = 1209 - 1177. What is the smallest common multiple of 364 and d?
2912
Let q = -456/31 + 11621/868. What is the common denominator of q and 5/24?
168
Suppose r - 12 = -r. Suppose 3*o - r = 12. What is the lowest common multiple of (-1)/(-12)*268 - (-12)/18 and o?
138
Let h(n) = n. Let v be h(3). Let o be (-566)/572 - (v + -4). Let f = o - 14455/1144. Find the common denominator of f and 89/6.
24
Suppose -6*g + 4*g = -64. Suppose -50 = -3*h - 4*a, g = 3*h - 7*a + 2*a. What is the common denominator of 26 and 4/h - 1884/126?
3
Suppose -17 = -12*d + 31. Let y(l) = -2*l - 4. Let m be y(-3). Calculate the lowest common multiple of -3*(22/(-3) + m) and d.
16
Let g = -4222 + 4199. Calculate the common denominator of g and (5/(-9))/(2/(-3)).
6
Let o = 809 + -793. What is the lowest common multiple of o and 6?
48
Let v = 384580893/20 + -19234051. Let b = v + 5002. Calculate the common denominator of ((-1)/(-2) - (-222)/(-336))*-52 and b.
140
Let j = 5 + 4. Let s be (j + -11)*2/(-1). Calculate the lowest common multiple of 10 and (7 - 5)/(s/8).
20
Calculate the smallest common multiple of 3 and (-73)/1*-1 + 5.
78
Suppose -3*b + 4*p + 66 = 218, -4*b + 3*p - 191 = 0. What is the lowest common multiple of 6 and 2*b/16*-2?
66
Find the common denominator of (4 - 7172/1815)/(1/(-20)) and -7/121.
363
Let r(v) = -v**3 + 4*v**2 + 6*v + 2. What is the least common multiple of (21/9)/(4/24) and r(5)?
14
What is the least common multiple of 18 and (-10)/(-25) + 146/10?
90
Let x = 12 - -3. Let s(q) = 15*q - 3. What is the least common multiple of s(2) and x?
135
Let w(d) = 27*d + 1. Let g be w(2). Suppose -11 = -3*l + g. Calculate the smallest common multiple of l and 2.
22
Calculate the common denominator of ((-5)/(-4))/(1/(-4)) and 32/9.
9
Let o = 33 + -79. Calculate the common denominator of o and 14/3.
3
Suppose -3*y = -7*y + 36. Suppose -2*r = 5*x - 23, -y = -2*r - 1. Let q = -1 + x. What is the smallest common multiple of 40 and q?
40
What is the smallest common multiple of -6*(25/(-30))/(1/32) and 144?
1440
Suppose -3*p + 101 = -37. Let h(l) = -2*l**3 - 9*l**2 - l - 12. Suppose -3*o = 13 + 2. Calculate the least common multiple of h(o) and p.
414
Let s(g) = -g + 1. Let i = -117 - -91. Calculate the lowest common multiple of s(i) and 3.
27
Let i(t) = 2*t - 4. Calculate the lowest common multiple of ((-60)/(-100))/(2/10) and i(3).
6
Let g = -9 - -12. Suppose 0*x - g = -x. Suppose 2*v + x*m - 7 = 0, 4*v + v - 3*m = 70. What is the smallest common multiple of v and 11?
11
Suppose 3*i + 76 = -4*r, 4*i - 4*r + 84 = -i. Find the common denominator of (-30)/(-8)*i/18 and (-5)/(-28)*(-1 + 47).
42
Calculate the common denominator of -31/20 and (-3)/(-4)*(2 - 83/(-3)).
20
Suppose -h = -6*w + 4*w + 22, -20 = -3*w - 5*h. Let l = 2 - -3. Suppose -3*u + 1 = -l. What is the least common multiple of u and w?
10
Calculate the least common multiple of (18/15)/(60/5550) and 30.
1110
Suppose -4*u - u = -50. Suppose 0 = 8*h - 0 - 0. Suppose 9*i + 5*i - 70 = h. What is the lowest common multiple of u and i?
10
Let a = 17479/6192 + -4/387. Find the common denominator of (378/160)/((-3)/(-4)) and a.
80
Let q be (7/2)/(-7)*12. What is the common denominator of 6/(-18) - 518/(-24) and (-2 - -3)*(-33)/q?
4
Let t be (-2)/19 - (-3287)/361. Suppose -l - 5*f + 2 = -19, t = 3*l - 3*f. Calculate the least common multiple of l and 3.
6
Let h = 1271/150 + 2/75. Calculate the common denominator of -2*(-8)/22*6 and h.
22
Suppose -11*w + 2*w + 261 = 0. Calculate the least common multiple of w and 2.
58
Let x = 105 - 80. What is the least common multiple of x and 11?
275
Let m = 37/5 - 671/90. Let r(v) = 35*v**2 + 5*v - 6. Let o be r(-5). Let i = o - 8417/10. What is the common denominator of i and m?
90
Let b(r) be the second derivative of -3*r + 0 - 11/2*r**2 + 5/6*r**3. What is the lowest common multiple of 14 and b(5)?
14
Suppose -3*j + 3*q + 13 + 2 = 0, 3*j - 2*q = 13. What is the lowest common multiple of -12*((-10)/3 + j) and 18?
36
Let m = -20/119 + -2/17. Suppose 17*d - 13*d + 60 = 0. What is the common denominator of 36/(-5)*d/51 and m?
119
Let l(a) = -162*a**3 + 2*a**2 - 4*a - 2. Let k be l(-4). Let u = 62623/6 - k. What is the common denominator of u and 101/4?
12
Let t(a) = 5 + 3*a**3 - a + a**3 + 4 - 5*a**3 - 9*a**2. What is the lowest common multiple of t(-9) and 8?
72
Let p(x) = 5*x**2. Let b be p(1). Calculate the least common multiple of (-34)/(-5) - (14/b - 3) and 22.
154
Let t(p) = -2*p**3 - 10*p**2 - 2*p + 2. Calculate the lowest common multiple of t(-5) an