12*y - 1. Let x be q(11). Let l = x - 9. Suppose 0 = 4*j - j - 2*t - 27, 4*t = -2*j + 34. What is the least common multiple of j and l?
11
Let n(z) = -3*z - 2. Let b be n(-7). What is the common denominator of (b/(-684))/(1/(-298)) and (2*-1)/(24/165)?
36
Let x be 3/(-6)*1*-10. Suppose x = v + 4. What is the smallest common multiple of v and ((-2)/(-1))/((-3)/(-3))?
2
Let r be 0 + -3 + (-312)/(-30). Let v = 3/20 - r. What is the common denominator of v and -91/8?
8
Let f(n) = n**3 + 3*n - 3. Suppose 6*c - 6 = 6. Let a be f(c). Let m = a - 7. What is the least common multiple of 6 and m?
12
Find the common denominator of 65/48 and (-249)/(-240) + -7 + 174/24.
240
Suppose 24 = -5*h + 7*h. Let j(i) = i**3 - 32*i**2 + 63*i - 60. What is the smallest common multiple of h and j(30)?
60
Suppose 0 = n - 6 - 29. Calculate the lowest common multiple of n and 224.
1120
Let a(z) be the second derivative of -z**4/12 + 4*z**3/3 - 3*z**2/2 - 5*z. What is the lowest common multiple of a(5) and 8?
24
Let f = 64 - 64. Suppose f*y = 2*y - 36. What is the lowest common multiple of y and 6?
18
What is the common denominator of 41*(-8 - 2184/(-272)) and 38/9?
306
Let l = 11350 + -283711/25. Find the common denominator of l and -69/175.
175
Suppose 7 = o + 5*i + 2, 4*i = -o. Let h = o - -12. Calculate the common denominator of (-5)/(-5) - (-95)/h and 31/48.
48
Suppose -a - 2*c = -16, -11*a + 2*c + 84 = -7*a. Let q(l) = -15*l + 2. Let f be q(-2). Suppose 0 = -4*y + 24 + f. What is the lowest common multiple of a and y?
140
Let k = -221 - -2273/10. Calculate the common denominator of (-406)/49*3/(-6) and k.
70
Let x = 4514 - 45231/10. What is the common denominator of x and -1/7?
70
Let k = 1/514349648 - -367985025925/188251971168. Let q = k - -14/183. Let d = -119621/4 + 29925. What is the common denominator of d and q?
32
Suppose 2*p - 2*x - 24 = 0, 2*p + 2*x - 36 = -p. Calculate the smallest common multiple of p and 20.
60
Suppose 2*k + 15 = -5*j, 3*j = -5*k - 2*j. Suppose -k*h = 0, h + 0 = -4*d + 28. Let g = 23 - d. Calculate the lowest common multiple of 9 and g.
144
Let b(u) = -11 + 7*u**2 + 1 - 3*u**2 - 3*u**2. Calculate the smallest common multiple of 14 and b(4).
42
Let d(y) = 50*y + 9. Let g be d(11). Let k = g + 882. Let m = 12902/9 - k. Find the common denominator of -69/4 and m.
36
Let l = 676 - 656. Calculate the smallest common multiple of 6 and l.
60
Let r = 247 + -215. Calculate the least common multiple of 8 and r.
32
Suppose 5*j + 5 = -5*a, 3*a - 25 = -5*j + 4*a. Suppose 0 = -j*g + 8 + 32. Calculate the smallest common multiple of g and 7.
70
Let q = 129 + -122. Let s = -72 - -114. Calculate the lowest common multiple of q and s.
42
Suppose -29 = 5*y - i, y - i - 13 = 3*y. Let c(w) = w**3 + 7*w**2 + 4*w - 4. Calculate the least common multiple of c(y) and 1.
8
Suppose -3*x + 2*x = 4, -39 = -3*n - 3*x. Suppose -3*c + v + 0 = -16, -5*v = 20. Suppose 0 = c*i - 7 - n. What is the least common multiple of 6 and i?
6
Let p = -2/100985 - -268317149/201970. Let l = p - 42429/32. Find the common denominator of l and -93/4.
32
Let x(w) = 4*w - 5. Let p(b) = -2*b + 2. Let q(n) = 5*p(n) + 2*x(n). Let m be q(-3). Let o = 2 + m. What is the least common multiple of 8 and o?
8
What is the common denominator of -89/8 and (3/148)/((-63)/(-2184))?
296
Suppose z - 1 = -3*p + 21, -p - 110 = -5*z. Let v = -10 + 21. Let j = v - 3. What is the smallest common multiple of j and z?
88
Let o = -27716/3 - -9233. Let y = 139/106 + -4256/477. Find the common denominator of y and o.
18
Let u = -137 + 147. Calculate the lowest common multiple of u and 28.
140
Let p = 4229/2 + -2101. Calculate the common denominator of p and 26/(-15)*6/8.
10
Calculate the common denominator of -73/232 and (-2)/(176/(-385))*18/10.
232
Let v = -1118 + 1163. What is the lowest common multiple of v and 33?
495
Calculate the common denominator of 9/55 and 15/(120/(-32))*(-68)/(-880).
55
Let y = -4549 - -10640. Let n = -10261 + y. Let z = 58309/14 + n. Find the common denominator of -33/8 and z.
56
Suppose -v = -1, 5*u + 26 = v - 0*v. Let o = 13 + -8. What is the lowest common multiple of o and (-4 - -11) + (u - -7)?
45
Let p(q) = 3*q - 27. Let v be p(9). Let u(b) = -b**2 - 2*b + 119. What is the smallest common multiple of 8 and u(v)?
952
Suppose 9*l + 1558 = 118. Calculate the smallest common multiple of 22 and 1/(-4*2/l).
220
Let o = 2341 + -21044/9. What is the common denominator of 50/73 and o?
657
Let x = -78733/360 + 1996/9. What is the common denominator of x and 17/110?
440
Suppose 0 = -f - 3*q + 2 - 6, -2*f - 4*q = 2. What is the smallest common multiple of (38 - 36)*(-1 - 11/(-2)) and f?
45
Suppose -4*t = 5*k - 1, -3*t + 4*k = k - 21. What is the smallest common multiple of t and (15/3)/(3*1/6)?
20
Let m = -3 - -2. What is the common denominator of m/1 + (-560)/90 and -73/10?
90
What is the common denominator of (5 - -21)/2*2/14 and 44/63?
63
Let a = -406 + 484. Calculate the smallest common multiple of a and 65.
390
Let k = 289011 + -2882709/10. Let y(v) = -748*v + 1. Let a be y(-1). Let h = a - k. Find the common denominator of h and -53/10.
10
Let k(x) = 3*x - 6. Let d be k(3). Suppose 3*v = -2*y + 7, -y + 6*y + d*v - 31 = 0. What is the lowest common multiple of y and 26?
104
Suppose -i = 6*i - 126. Let v(b) = 2*b**3 + 9*b**2 - 2*b - 3. Calculate the least common multiple of i and v(-4).
126
Let r = 35820/11 - 3252. Suppose -m - 3*m = 11632. Let j = m - -17513/6. Calculate the common denominator of j and r.
66
Let c = -6566 + 6588. Suppose 26 = 4*d - g - 10, -3*d = g - 34. Calculate the lowest common multiple of c and d.
110
Suppose 695 - 164 = 4*w - 3*x, 501 = 4*w + 3*x. What is the lowest common multiple of 3 and w?
129
Let o = 2665/314 - -2/157. Find the common denominator of (-2)/7 - 3772/(-805) and o.
10
Suppose -473 = -5*c + 5*k - 158, 0 = c - 2*k - 62. What is the smallest common multiple of c and 40?
320
Let d(r) = r**3 - 21*r**2 - r - 6. Let m be d(21). Calculate the smallest common multiple of 4 and 54*-3*3/m.
36
Calculate the lowest common multiple of 8 and 246/27 + -3 + (-3)/27.
24
Let z = -803 - -807. What is the smallest common multiple of z and 44?
44
Suppose 0 = 2*k - 9 - 3. Let g = k + -6. Suppose -2*w - w - v + 61 = g, -76 = -4*w + 4*v. What is the least common multiple of 8 and w?
40
Let r = -232 - -491/2. Find the common denominator of r and -25/278.
278
Let p = 40/61 - 7049/610. Calculate the common denominator of p and -101/2.
10
Calculate the common denominator of 43343/(-12015) + (-44)/(-20) and (-56)/66 + 2 + -2.
297
What is the common denominator of -17/9 and (-45)/(-16) - (60/36 + -1)?
144
Let y(v) = -6*v**2 + 6*v - 6. Let x be y(6). Let a = x - -340. What is the common denominator of 41/18 and 0 - -1*a/(-40)?
180
Suppose 1314 = 16*l + 114. What is the smallest common multiple of l and 9?
225
Let g = 54539261/20 - 2727748. Let v = g - -790. Find the common denominator of 54/(-12) + 1/4 and v.
20
Suppose 0 = -7*s + 25*s - 198. Calculate the smallest common multiple of 43 and s.
473
Suppose 81 - 13 = 4*n + 3*v, 5*n = -5*v + 90. What is the lowest common multiple of n and 18?
126
Suppose 4 = 5*u - 4*u - 2*g, -3*g = 2*u - 1. Suppose -5*w + 15 = -m - 2*m, u*w = 4*m - 8. Suppose 0 + w = l. Calculate the lowest common multiple of 9 and l.
18
Let n(h) = 5*h + 1. Let c be n(1). Find the common denominator of ((-11)/5)/(2/4) and (4/(-6))/(c/14).
45
Let s be -3 + 0 + (-2)/2. Calculate the smallest common multiple of ((-18)/8 + -3)*(-72)/27 and s/2 + -5 + 25.
126
Suppose -4 = 4*w - 76. Let f = 31 - w. What is the least common multiple of 4 + (-3 - -7 - 5) and f?
39
Let q(f) = f**2 - 9*f + 7. Let l be q(6). What is the lowest common multiple of 6 and (l/(-2))/((-9)/(-18))?
66
Let w(g) = -g**3 - g**2 + 10*g + 2. Let y be ((-100)/125)/((-2)/(-10)). Calculate the smallest common multiple of 3 and w(y).
30
Let p = 18 - 37. Suppose 3*r + 15 = -2*g, g + 4*g - 4*r + 95 = 0. Let l = g - p. Calculate the smallest common multiple of l and 5.
20
Find the common denominator of -53/24 and (-4183)/1128*(-8)/(-18).
216
Let g = 13 + -5. Let u(f) = f**3 + 7*f**2 + 7*f + 6. Let w be u(-6). Suppose k + w = a - 3, 4*a - 5*k - 9 = 0. What is the smallest common multiple of a and g?
24
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