Let p be w(m). Suppose -p*z + 33 = z. Calculate the smallest common multiple of z and 3.
33
Suppose 135 = 7*t - 2*t. What is the least common multiple of 2 - (-8 - -8) - (-3 + -1) and t?
54
Let n = 1525423/62 + -24605. Find the common denominator of n and 5/20 - (-1)/6.
372
Let b(v) = -2*v**3 + 22*v**2 + 2. Calculate the least common multiple of b(11) and 60.
60
Let p = -5 + 31/8. Let y be -1*3 + 6*(-55311)/48. Let l = -6929 - y. What is the common denominator of l and p?
8
Suppose -4*n + 4 = 0, 0*m - 4*m + n + 19 = 0. Calculate the common denominator of (-9)/11 - 15/m and -19/16.
176
Suppose z - 5*w = 85, -4*z + 79 = -3*z + w. Calculate the common denominator of 47/18 and (-2)/(-5) + (-612)/z.
36
Suppose -g + 7 + 15 = 0. Suppose 4*c = -2*v + 14, -3*c + 8*c - 2*v = g. Suppose -c*b + 10 + 2 = 0. Calculate the common denominator of b and -11.
1
Let u(c) = -c**3 - 4*c**2 + 5*c. Let p be u(-5). Let j be (p - 0) + 1314138/(-1404). Let m = j - -12264/13. What is the common denominator of m and -21/22?
198
Let i = 177 + -101. Let n = i + -68. What is the smallest common multiple of n and 2?
8
Suppose j = 3*j + 6, x - 5*j + 49 = 0. Let b be 163*(3 + x/14). Let w = b + 14869/56. What is the common denominator of -5/18 and w?
72
Let j = 17/3 + -263/48. Calculate the common denominator of (99/(-2))/(3 - -3) and j.
16
Let f = 958225/54 - 17746. What is the common denominator of 53/54 and f?
54
Let y = -2/2153 + 45235/23683. Let m = -8089 - -299317/37. Calculate the common denominator of y and m.
407
Calculate the lowest common multiple of 140 and (-5 - -55)*9/((-225)/(-20)).
280
Let v = -154 + 176. What is the lowest common multiple of v and 116?
1276
Let g = -643 + 3259/5. Find the common denominator of g and (5 + 64)*((-425)/(-105) - 4).
35
Let f = 1198 + -1162. What is the lowest common multiple of f and 360?
360
Let k(t) = 2*t**3 + t**2 - 5*t + 28. Calculate the lowest common multiple of k(3) and 24.
456
Let i(w) = -w**2 + 38*w - 55. What is the lowest common multiple of 1 and i(16)?
297
Find the common denominator of (8/(-32))/(140/(-208)) and 47/35.
35
Let l(s) = s**2 - 2*s - 1. Let o be l(2). Let t = o - -11. Let w(z) = 2*z**2 - 18*z + 36. What is the smallest common multiple of t and w(2)?
40
Let u be (0 - 0) + 20/4. Suppose 0 = 5*g + u*i - 20, g + i + 2*i - 4 = 0. Calculate the lowest common multiple of g and 4.
4
Let k(n) = n**2 - n + 31. Let h be k(0). Let d = 9 - h. Let a = 108/5 + d. Calculate the common denominator of 36/11 and a.
55
Let c = -51 + 75. Suppose c = 4*d - 64. Suppose -2*g + 3*p + 28 = 0, -5*g + 70 = 2*p + 3*p. What is the least common multiple of d and g?
154
Let b = -1/433 + -17745/3464. Calculate the common denominator of 0 + 0 - (-64)/(-10) and b.
40
Suppose -x - 3*u = -57, -3*x = -0*x - 2*u - 138. What is the least common multiple of 36 and x?
144
Let s = 155317/11226 - 4/1871. Let h = -667/21 + 97/3. Find the common denominator of h and s.
42
Let r = -531 - -4750/9. Let m = 303/14 + -8105/336. Let k = m + 1493/144. Find the common denominator of r and k.
9
Let o be (-4866)/(-16)*4/(-246). Let g = -38249/4182 + 155/17. Let k = o - g. Calculate the common denominator of k and -37/3.
12
Calculate the common denominator of 2 + 2 + -7 + 8701/6468 and -67/12.
84
Let r be ((-69897544)/6)/((-22)/33). Let f = -5067566283/290 + r. Let y = f + -1/145. Calculate the common denominator of 97/6 and y.
6
Let u(g) = -31*g**3 - g - 2. What is the smallest common multiple of 2162/138 + 2/(-3) and u(-1)?
30
Suppose 4*r - 9*r + 30 = 0. Let g(q) = 25 + r*q + 0*q - 29. What is the lowest common multiple of g(2) and 2?
8
Let a(t) = t**3 - 25*t**2 + 26*t - 34. What is the lowest common multiple of 14 and a(24)?
14
Let p = 7486 - 59807/8. Suppose 2*a - 283 = 3*k, 25 = -2*k - 3*k. Calculate the common denominator of p and 1/((-20)/a) - 0.
40
Let q be (-1985)/160*(-56)/(-18). Let z = -416/9 - q. What is the common denominator of z and -67/9?
72
Suppose -52*l + 564 - 44 = 0. Calculate the least common multiple of l and 235.
470
Suppose -5*y - 4*u + 19 = -8*u, 0 = -4*y - u + 11. Calculate the common denominator of ((-2)/(-6))/((-18)/(-336)) and (y/45)/((-6)/10).
9
Let b = -146088 - -889243/6. Let t = 2127 - b. Calculate the common denominator of -121/20 and t.
60
Let q = -1818 + 1833. Calculate the lowest common multiple of 6 and q.
30
Suppose 2*z = 2*i - 21 + 91, 85 = 2*z - 5*i. What is the smallest common multiple of z and 165?
330
Let d(c) = -c + 9. Let j be d(8). Find the common denominator of 737/22 + 0 + j and 79/54.
54
Let m be 0 + (2 - 1) + 318/(-6). What is the common denominator of (-3 - m/16) + 255/(-48) and -139/18?
144
Suppose 5*u + 6 = -5*r - 4, 2*u - r = 8. Let b = 68927/60 - 3442/3. Calculate the common denominator of b and (-93)/180 - u/(-3).
20
Suppose -2*p - 2*p + 228 = 4*m, 3*p - 3*m = 171. What is the smallest common multiple of (-3 - 60/(-21)) + p/7 and (-18)/(-14) - 4/14?
8
Let y(c) = c**3 - 6*c**2 + 8*c - 11. What is the smallest common multiple of y(5) and 24?
24
Let g(c) = -17*c**3 - 3*c**2 + 6*c - 4. What is the lowest common multiple of 4 and g(-4)?
1012
What is the common denominator of -47/120 and 876/(-144)*(5 + 280/(-55))?
1320
Suppose 12*i - 3837 = 771. Calculate the lowest common multiple of i and 20.
1920
Suppose -3*g + 11*s = 6*s - 47, 3*g = -5*s + 7. Calculate the smallest common multiple of g and 47.
423
Find the common denominator of 15/8 and (-155)/10*-1*(-11)/3212.
584
Let m(i) = -i**2 - i + 13. Let u be m(-10). Let r = -70 - u. What is the lowest common multiple of 48 and r?
336
Let x be (-19)/(3 - 2 - 2). Suppose -2*s + 69 = -x. Suppose -2*o + s = -0*o. Calculate the smallest common multiple of o and 2.
22
Calculate the common denominator of -32/187 and 173/(-136) + (-139)/(-139).
1496
Let j(n) = 4*n + 2. Let s be j(-1). Calculate the lowest common multiple of 5 and (-1 - 3)/(s + (-1)/(-1)).
20
Let x = 10316 - 62047/6. Let d be ((-2)/(-1) + -4)/777. Let y = -5104/777 + d. What is the common denominator of y and x?
42
Let f = -415 + 421. Suppose -2*c = c - s - 13, 3*c + 4*s + 7 = 0. Suppose i + 1 = -0*o - 2*o, o = -c*i - 13. What is the least common multiple of f and o?
6
Let o = -1682/11 + 152. Suppose -g + 4 = -30. Calculate the common denominator of 45/30*g/12 and o.
44
Suppose 6*i = 2*i + 4*n + 64, 17 = 2*i + 3*n. Suppose -2*f - s + i = 0, -2*f = -f - s - 5. Calculate the smallest common multiple of f and (18/3)/3 + 46.
48
Let r = -13 - -15. Suppose -5*i + 71 = q, 3*q - r*i - 21 = 209. Let k = q + -43. Find the common denominator of k and 49/9.
9
Let d(g) = 6*g - 9. Let p be d(8). Let n be p - (-1 - (4 - 3)). Suppose n = -w - 5. What is the common denominator of w and 65/3?
3
Let r be ((-11046)/36)/(1/(-3)). Let s = r + -895. Let o = 45 + -20. Find the common denominator of o and s.
2
Let l be 4/14 + (-410)/(-35). Suppose 12 = 14*f - l*f. Calculate the smallest common multiple of 12/(-10)*5/(-2) and f.
6
Suppose -169 - 23 = -12*h. Calculate the lowest common multiple of 136 and h.
272
Let c = -88911396885/74 + 1201554100. Let s = c - 48738. What is the common denominator of s and -89/8?
296
Let k(s) = s**3 - 84*s + 9 + 5*s**2 + 3*s**2 + 91*s - 1. Calculate the smallest common multiple of k(-7) and 6.
24
Let j = -98142 - -20021035/204. What is the common denominator of -91/2 and j?
204
Suppose 5*f = -4*a + 50, 6*a - 49 = -4*f + a. Suppose 0 = -4*o + 2*o + f. Calculate the common denominator of (o - 0) + (-114)/8 and -1/14.
28
Let r(y) = -4*y - 12. Suppose q - 30 = 7*q. Calculate the smallest common multiple of 9 and r(q).
72
Let g = 1284573/196 - 6554. Find the common denominator of g and 23/32.
1568
Let i be -5*(8/6)/((-10)/6). Suppose -13 = -i*k + 11. Calculate the lowest common multiple of k and 4.
12
Suppose 0 = -6*l + 9*l + 18. Find the common denominator of (-6 - -3) + 7/l and 67/6.
6
Suppose -6*d + 9 = -15. Let y(j) = 2*j**2 - 3*j + 16. What is the smallest common multiple of 16 and y(d)?
144
Let n = 24/535 + -2622/15515. Let j = 10117/3770 - n. Calculate the common denominator of j and -1/16.
208
Let t = 15/43 - 649/258. What is the common denominator of t and 14/9?
18
Suppose 0*s - 39 = s. Let k = 2/2517 + -249203/25170. Calculate the common denominator of k and (s/(-45))/(8/18).
20
Let h(a) =