97 + -93475/12. Calculate the common denominator of ((-522)/(-28))/(36/42) and k.
12
What is the common denominator of -12/19 and (-9)/162*(0 + 80)?
171
Let m(g) = -g**3 + 12*g**2 - 21*g + 18. Calculate the smallest common multiple of m(10) and 12.
24
Let f(w) = -w**3 - 2*w**2 - w. Calculate the least common multiple of f(-2) and 1.
2
Suppose -w = -3*u + 26, 0*w + 2*u + 56 = -3*w. Calculate the least common multiple of (w/(-35))/((-6)/(-21)) and 18.
18
Suppose -258 - 632 = -5*t. Let j be (t/(-6))/((-1)/15). What is the common denominator of ((-6)/15)/((-44)/j) and 67/12?
132
Let n = -2/5523 - -535795/176736. Let a = 10129/534 + -12/89. Calculate the common denominator of n and a.
96
Let p(z) = z + 7. What is the lowest common multiple of 24 and p(26)?
264
Let g(t) = t + 5. Let p be g(-5). What is the common denominator of 53/3 and (2 - p) + 54/14?
21
Let n = -3 + 12. What is the common denominator of 8/5 and n?
5
Let r = -23167/9416 + 5/856. Let h = -7585/6 - -1256. Find the common denominator of h and r.
66
Suppose -r = 4*c - 44, -2*c - 3*c = -25. Suppose 12 = x - 4*a, -2*x = a - 6*a - 21. What is the least common multiple of (-2)/(-12) - (-332)/r and x?
56
Suppose 0 = 3*b - x - 19 - 11, 2 = b - 3*x. Suppose -3*d = -2*r + 37, 43 = 3*r - 2*d - 0*d. What is the smallest common multiple of b and r?
11
Let d be 63/6*4/(-3). What is the common denominator of (78/(-8))/((-12)/d) and 59/5?
40
Let f = -164 - -204. Calculate the lowest common multiple of 10 and f.
40
What is the common denominator of -39/10 and ((-423)/54)/(20/(-6))?
20
Let a = 1 + 0. Let v(g) = -g**3 - 10*g**2 - 2*g - 1. Let d be v(-10). Let r = a + d. Calculate the lowest common multiple of 2 and r.
20
Let w = -7547/11 - -687. What is the common denominator of (2 + 1)/(-1) - 312/(-32) and w?
44
Let f = 8223/4 + -2067. Let h = -979/6 + 2614/15. Calculate the common denominator of h and f.
20
Let z(t) = -2*t. Let d be z(3). Suppose 5*l = 3*x - 5*x - 11, -5*x = -2*l - 16. Calculate the smallest common multiple of ((-3)/d)/(2/44) and x.
22
Let l = 6 - 6. What is the smallest common multiple of (-2 - l)/(-1)*11 and 14?
154
Calculate the common denominator of ((-2)/6 - 0)/(90/290) and -71/15.
135
Let n = 128/35 - -1891/105. Suppose 0 = -4*u + 6*u + 3*j + 6, -4*j - 6 = 2*u. What is the common denominator of u/6*(-268)/(-16) and n?
24
Suppose 4 = 2*r - b - 13, 0 = 3*r - 3*b - 33. What is the lowest common multiple of r and 38?
114
Let o be (-2 + 3 - -2)*1. Let b be 0/o - 798/20. Let c = 2/5 + b. Calculate the common denominator of -31 and c.
2
Let x = 24/23 + 43/69. What is the common denominator of -77/2 and x?
6
Suppose -4*o + 47 + 15 = 2*r, 3*r + 72 = 5*o. Let a = o + -4. What is the least common multiple of 5 and a?
55
Calculate the common denominator of -83/4 and 0/2 - (-155)/(-30).
12
Let g(s) = 9*s + 2. Let p be g(2). Suppose -p = 3*m + m, -5*x + 3*m = -55. Calculate the smallest common multiple of 11 and x.
88
Let u = 56351/112 + -3546/7. Find the common denominator of (-175)/20*2/4 and u.
16
Let h(q) = q**3 - 5*q**2 - 5*q - 1. Let y be h(6). Let f be (-6)/(2 - 0) + y. Find the common denominator of -19/2 and f/1 - (-74)/24.
12
Find the common denominator of 33/40 and 9/14*(-63)/(-60).
40
Let j = 11 - -7. Calculate the smallest common multiple of 12 and j.
36
Let y = -8 + 10. Let j = y - -9. Calculate the smallest common multiple of 7 and j.
77
Suppose -a + 3*x = a + 23, 2*a + 24 = 4*x. Let t = 2 - a. What is the smallest common multiple of 8 and t?
24
Let k = 56/11 - 13/11. Calculate the common denominator of k and -32/15.
165
Suppose a + 85 = -1. Let h = 21503/3458 - 1/247. What is the common denominator of h and -1 - 1 - a/16?
56
Let b = 3/1817 + 477853/10902. Let a = -119/3 + b. What is the common denominator of (-53)/9 - (-1)/2 and a?
18
Suppose p = -2*y - 3*y + 141, 0 = 3*y + 3*p - 87. Calculate the smallest common multiple of y and 5.
140
Let k(u) = -u**3 - 9*u**2 - 12*u - 6. Calculate the smallest common multiple of 14 and k(-9).
714
Let h(u) = u**3 - 7*u**2 + 2*u - 8. Calculate the smallest common multiple of h(7) and 5.
30
Let k = 188 + -179. Let r = 4 + -1. What is the least common multiple of r and k?
9
Let i(z) = z**2 - 8*z + 5. Let c be i(8). Suppose 0 = 2*l + c*p - 3*p - 52, 2*p - 8 = 0. Calculate the common denominator of 19/3 and l.
3
Let h(o) = o**3 - 2*o**2 + 3*o - 3. Let r be h(2). What is the common denominator of -15/22 and 61/r*15/50?
110
Let c = 594849/62 - 9594. What is the common denominator of c and 17/8?
248
Let x be 1700335/(-330) + (-2)/(-3). Let a = x + 5147. What is the common denominator of a and 149/12?
132
Let a = -3 - -3. Let s = a + 5. Calculate the lowest common multiple of s and 5.
5
Let u be ((-152)/6)/(30/63). Let o = u + 939/20. Find the common denominator of o and -71/8.
8
Suppose 0 = 4*u - 4 - 12. What is the smallest common multiple of u and 20?
20
Suppose -2*g = -3*s + 664, 2*g - 2*s + 672 = -3*s. Let i = g + 727/2. Calculate the common denominator of -65/18 and i.
18
Let r be (-8)/(-32) - 1403/(-84). Let u = 1575 + -11006/7. Let a = r + u. What is the common denominator of a and -31/10?
30
Calculate the common denominator of 7/3 and (-4 - 305/(-75))/((-1)/(-22)).
15
What is the common denominator of (2/28)/(48/(-1876)) and -35/18?
72
Let m = 44 + -9. Suppose k + 4*k - 30 = -4*j, 5*j = -5*k + m. Suppose k*r = -5*b - 21, -4*b = 9 + 11. Calculate the smallest common multiple of r and 2.
2
Let f = 5 + -3. Let r be ((-8)/(-12))/(f/6). Suppose -u - r = -14. What is the lowest common multiple of u and 6?
12
Let u be ((-6)/(-7))/((-2)/14). Find the common denominator of (0 + 143/(-2))/u and -85/18.
36
Let r = 971 - 1977. Find the common denominator of (-12)/(-66) + r/(-154) and 55/9.
63
Let p(o) = 6*o**3 - 5*o**3 - 2*o**2 - 7*o + 6*o**2. Suppose 15 = -q - 7*t + 2*t, 2 = -t. Calculate the smallest common multiple of 6 and p(q).
30
Let x be (10/6)/((-1)/27). What is the common denominator of x/100*5/2 and -33/8?
8
What is the lowest common multiple of -2 + (-4)/4 - -8 and 7?
35
Suppose 49 = 4*q + 3*v, -2*q = 2*q + 4*v - 52. Calculate the least common multiple of q and 11.
110
Let b = -54511/14886 + 42/827. What is the common denominator of -103/6 and b?
18
Calculate the common denominator of -23/24 and (36/(-64))/((-12)/40).
24
Calculate the common denominator of 178/144*2 + -2 and -41/3.
36
Let z = -921/1105 - -12/85. What is the common denominator of z and 19/2?
26
Let z be -1 + (-2 - -1)/1. Let l be (-27)/4 - z/(-8). Calculate the least common multiple of 6 and 2/l - 115/(-35).
6
Let t = 5 - -4. Suppose l - t + 4 = 0. What is the least common multiple of l and 5?
5
Let i(x) = 2*x**3 - x**2 - x. Suppose 4*s - f - 24 = -5*f, 0 = s - 3*f + 10. Suppose -a + 6 = -1. What is the least common multiple of a and i(s)?
70
Suppose 0 = -3*y - 23 - 19. Let c = -2 - y. What is the lowest common multiple of c and 10?
60
Let n(s) be the first derivative of -s + 2 + 3/2*s**2. What is the lowest common multiple of 6 and n(2)?
30
Let s = -5 + 8. Let v(k) = 3*k - 5*k + s + 3*k. Calculate the lowest common multiple of 2 and v(6).
18
Suppose -2 = -4*x - k + 12, -2*x + 5*k + 18 = 0. Let w be (-7)/2*x/(-2). Let l(b) = 2*b. What is the least common multiple of l(w) and 22?
154
Let w = 52 + -25. Suppose 3*m - 6*m = -w. What is the least common multiple of 3 and m?
9
Let j = 3863/44 + -710/11. What is the common denominator of j and -41/11?
44
Suppose 0 = -k + 1 + 1. Calculate the lowest common multiple of k and 12.
12
Suppose 3*k - 19 + 4 = 0. Suppose -3 - k = -d. Calculate the least common multiple of (-2)/(-3)*9/6 and d.
8
Let g be 195/(-18) + 2/(-12). Let r = 15 + g. What is the lowest common multiple of r and 14?
28
Let k = 12 + -3. Calculate the common denominator of (k/(-24))/((-4)/16) and 35/11.
22
Let o(x) = x - 4. Suppose 6 = -3*b + 6*b. Let q = b - 0. Calculate the smallest common multiple of q and o(12).
8
Let r(f) = -f**2 + 13*f + 6. Let y be r(13). Find the common denominator of (119/y - 1) + 2 and -139/12.
12
Let j = 11159/3780 - 2/945. Calculate the common denominator of 131/6 and j.
60
Find the common denominator of -5/14 and ((-18)/40)/(24/70).
112
Suppose -3*n - 56 = -8*n - 2*a, n = a + 14. Calculate the smallest common multiple of n and 16.
48
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