12. Calculate the common denominator of d and -27/16.
48
Let h = 359 - 345. What is the smallest common multiple of h and 10?
70
Let v = -103979 + 18300215/176. What is the common denominator of v and -77/144?
1584
Let s(f) be the first derivative of -f**4/4 - 7*f**3/3 + f**2/2 + 8*f + 9. What is the smallest common multiple of s(-7) and 7?
7
Let b = -11 + 13. Let t(s) = 4*s**2 + 4*s**2 + 2*s - b*s**2 + 4 - 4*s**2. Calculate the lowest common multiple of 22 and t(-3).
176
Let m(q) = q**3 - q**2 - q + 2. What is the least common multiple of 1862/126 - 11 - 2/(-9) and m(3)?
68
Suppose 99*n = 112*n - 260. Calculate the least common multiple of n and 54.
540
What is the common denominator of 2 - 1 - 0 - 2686/476 and -81/8?
56
Let u = -15585/4 - -3874. Suppose 16*d - 11*d + 16245 = 0. Let k = d + 38951/12. Find the common denominator of u and k.
12
Suppose -7*a = x - 2*x - 700, 5*x = -4*a + 400. What is the least common multiple of 70 and a?
700
Calculate the lowest common multiple of (-1 - -2) + 2 + 7 + -4 and 38.
114
Let h(p) = 198*p**3 - 3*p**2 - 6*p - 3. Let l be h(5). Let z be (l/240)/(0 + -6). Let w = -74/5 - z. Calculate the common denominator of 51/4 and w.
16
Let b(p) = -22*p. Let m be b(1). Let t be 3 + (-2)/(-4)*m. Calculate the common denominator of -77/16 and (-10)/t*(4 + 2).
16
Let g be (-14)/49 - (-363)/21. Suppose 0 = m + 4*u - 14, 4*m + 3*u + 0*u = g. What is the smallest common multiple of 5 and (-252)/(-21)*1/m?
30
Suppose -215 = -5*j + 2*u, -5*u + 18 - 166 = -3*j. Suppose 0 = 2*x + x + 2*l - j, 36 = 4*x - 2*l. Calculate the lowest common multiple of 87 and x.
957
Suppose -6*n + 3*n + 3 = -d, d - 21 = -3*n. Suppose -2*s + d = -15. Find the common denominator of -14/5 and -2 + 16/s + -13.
15
Let y = 84/4283 + -4365385/51396. Let d = 194/3 + y. What is the common denominator of d and 137/36?
36
Suppose 6*y - 6909 = -43*y. What is the least common multiple of y and 11?
1551
Let m = -11 - -13. Let a(k) = -4*k**3 + 3*k**3 + k**2 - 3 + 1 - 1 + 4*k. What is the smallest common multiple of 10 and a(m)?
10
Calculate the common denominator of 3679/(-312) - (-4)/6 and -22/3.
24
Find the common denominator of 3/10 and (-13 - -11)/(-9 + 853).
2110
Let g be 76/6 + (6/(-2))/(-9). Find the common denominator of 23/6 and (-9)/(-18) + (g/3)/1.
6
Let x = -5/783 + -12257/1566. Let q be 0*(3 + -2 + 0). Suppose 3*t = -3*v - q*t - 126, 5*v - t = -192. What is the common denominator of x and v?
6
Let k = 397 - 400. Let l = 32 - 65. Calculate the smallest common multiple of l/(-1 - k/(-6)) and 66.
66
Let u(k) be the third derivative of 2*k**2 + 0 + 0*k - 2/3*k**3 + 1/8*k**4. What is the least common multiple of 8 and u(4)?
8
Suppose 15 = 5*s, y - 4*s = 4*y + 76458. Let c = y + 713625/28. What is the common denominator of c and 99/4?
28
Let r = -7435/4 - -1857. Calculate the common denominator of r and 45/446.
892
Let n be (-4)/10*(-3 - 7). Suppose 0 = -5*g + n*i + 18, -3*i = 3*g + 2*i + 4. Find the common denominator of 65/6 and 1 + -9*g/16.
24
Let t(p) = p**2 - 3*p - 9. Let k be t(5). What is the smallest common multiple of 4 and (4 - 3 - -2)*k?
12
Let q(d) = -114 - 10*d + 40 + d**3 + 34 + 32. What is the smallest common multiple of 22 and q(4)?
176
Let g(l) = -l - 35. Let v be g(-11). Calculate the least common multiple of -7*(v/20 + 5/25) and (-1 + -2)/(-1 - 0).
21
Let u = -281/4 - -283/4. Find the common denominator of u and 39/2.
2
Let w = 39 - 54. Find the common denominator of (-74)/42 - 3*(-10)/w and -127/18.
126
Let d = 1757 + -19293/11. What is the common denominator of -29/16 and d?
176
Let n be -1 + 2 + -2 - 223. Calculate the common denominator of 122/48 + ((-70)/21)/(-10) and 18/(-16)*n/(-24).
8
Let o be (3 - 0*2/(-8)) + -7. What is the least common multiple of (-58)/((-4)/2) - o and 30?
330
Let z = -1/1762 - -25996/11453. Calculate the common denominator of (60/(-200))/(30/8)*-140 and z.
130
Let r(p) = -p**3 - 29*p**2 - 58*p - 66. Calculate the lowest common multiple of 84 and r(-27).
84
Suppose 3*p - 9*s + 6*s - 15 = 0, 5*p - s = 25. Suppose -h = 5*g - 26 + 1, 3*g + 13 = p*h. What is the least common multiple of (2/4)/(3/120) and g?
20
Let o = -4/2415 - 166603/19320. Calculate the common denominator of 43/14 and o.
56
Let v = 3/53329 - 5386391/2879766. Find the common denominator of v and -133/48.
432
Suppose 6 = o + 1. Calculate the lowest common multiple of ((-6)/(-4))/((-15)/(-1100)*o) and 170.
1870
Suppose 4*q - 59 = -3. What is the least common multiple of 22 and q?
154
Let j(v) = -33*v**3 + 1. Let i be j(1). Suppose -3*k - 3476 = 4*z, -2690 = 3*k - 5*z + 822. Calculate the common denominator of -55/12 and (k/i)/(3/4).
12
Let x = 1467/8 + -15861/88. Let h be (-2)/(-4) + 954444/33. Let w = h - 28928. What is the common denominator of x and w?
22
Let h = 109/95 - -2703/5510. Find the common denominator of h and 85/36.
1044
What is the smallest common multiple of 234 and 1 - -1 - (-8 + 0)?
1170
Suppose 42*h + 4*l + 139 = 43*h, 4*l = 2*h - 282. Calculate the lowest common multiple of h and 65.
715
Let w be (-31)/(-11) + 14/77. Let h be (-4)/(-8)*-2 + w. Suppose -2 + 13 = -v + 4*n, -26 = -h*v - 4*n. What is the smallest common multiple of v and 9?
45
Suppose 4*f - 2*p = -15186, 0*p = -3*f + 2*p - 11388. What is the common denominator of f/(-1080) + (-2)/(-5) and -63/4?
12
Find the common denominator of -99/1666 and (-278)/(-36) + 12/18.
14994
What is the common denominator of (-6)/2 - 50646/(-16905) and 39/7?
245
Suppose 0 = -9*l + l + 144. Suppose 36 = 2*w - 0*w. What is the least common multiple of w and l?
18
Let b(p) = p**3 + 3*p**2 - 9*p - 8. What is the smallest common multiple of 9 and b(-4)?
36
Let u = 14 - -4. Let k be 1/2 + 759/u. Let c = 1381/33 - k. Find the common denominator of 31/3 and c.
33
Find the common denominator of 3507/756 - 55/(-20) and 0 - (-2)/(88/43).
396
Calculate the common denominator of -103/20 and ((-42)/28)/((-165)/(-76)).
220
Suppose -1 = 3*b + 8, -2*v + 2*b + 40 = 0. Let i = -18 + v. Calculate the smallest common multiple of 3/(1 - -1 - i) and 2.
2
Suppose x - 30 = -4*z, 5*x - z - 41 = 4. Calculate the lowest common multiple of x and 59.
590
Suppose -2*g - 2*g + 2*z = -434, -3*g + 323 = z. Suppose -6*s + g = -2*s. What is the common denominator of s and (-908)/(-24) - 3/(-18)?
1
Let x = -46 - -35. Find the common denominator of (-2)/(-3) + (x/(-2) - -3) and -73/21.
42
Let f(x) = x**3 + 3*x**2 - 10*x - 9. What is the smallest common multiple of 21 and f(-4)?
105
Let h be (-59)/((-470)/4*(-3)/15). Let k = h - 4415/282. Calculate the common denominator of 91/18 and k.
18
Let f = 36 - 30. Suppose 6*o - f = 4*o. What is the least common multiple of (-94)/(-10) + (-6)/15 and o?
9
Suppose 9*n = -5*l + 5*n + 116, 0 = 2*n - 8. Calculate the smallest common multiple of 5/(((-28)/(-16))/7) and l.
20
Let o(z) = z**3 + 5*z**2 - 6*z + 2. Let m(b) = b**3 - 24*b**2 + 227*b - 6270. What is the lowest common multiple of o(-6) and m(25)?
30
Suppose -594 = -12*y - 21*y. Calculate the least common multiple of 18 and y.
18
Let n(f) = -f**2 + 11*f + 9. Let y be n(11). Suppose l - 19 = -y. What is the smallest common multiple of 11 and l?
110
Let m = 34899/1404182419 + -24416841072208707/461622161881412. Let t = m - -8/11741. Let p = 471/14 + t. What is the common denominator of p and 39/4?
4
Suppose -85*i = -73*i - 168. Let v be (-4)/(-1)*(0 + 1). Suppose -2*s + v + i = 0. What is the smallest common multiple of s and 2?
18
Suppose 3*x - 5*x - 9 = 5*j, 3*x + 2 = 4*j. Calculate the common denominator of (18/(-12))/(x/(12/(-55))) and -36/25.
275
Let f(b) = b**2 + 5*b + 5. Let z be f(-4). Suppose -35*a = 12*a - 470. What is the lowest common multiple of 15/4 + z/4 and a?
20
Let m be 4/14*14/4*1. Calculate the least common multiple of m + (-4 + 53)*1 and 22.
550
Let r = 2/9919 - -118942/426517. What is the common denominator of r and -16/11?
473
Let i = -1533 + 49049/32. Calculate the common denominator of i and -56/11.
352
Suppose -2*i - 22 = -3*c, -2*c = -5*i - 39 - 38. Let d be -1*(4 - 4) + i. Let u = -8 - d. Calculate the smallest common multiple of u and 2.
18
Suppose 494*w - 32 = 486*w. Suppose -q = 2*q + 5*f - 24, 16 = 2*q - 4*f. What is the lowest common multiple of w and q?
8
Let d(n) = 2*n**2 + 8*n + 6. Let x(l) be 