
45
Let d be (-938)/(-4840) + 9/(-45). Let u = d - 12563/3388. Let x = -562/9 - -65. What is the common denominator of u and x?
63
Let t = -2602759 - -78106999/30. Let v = t + -3929/5. Find the common denominator of 3/22 and v.
66
Calculate the common denominator of ((-1139)/(-1005))/((-34)/10 + 1) and -53/12.
36
Let f be (-44)/110 - (-44)/10. Suppose 2 = -3*g + f*g. Suppose 4*l + 22 - 78 = 0. What is the smallest common multiple of g and l?
14
Let c be 5 - -4*(-147)/(-6). Suppose -3 = 10*g - c. Calculate the smallest common multiple of 4 and g.
20
Let f(c) = c**3 + c**2 - 14*c - 5. Let d be f(-4). What is the lowest common multiple of -1*-6*d/6 and 10?
30
Find the common denominator of 109/144 and 22/(-121) + 0 + (-291)/(-88).
144
What is the common denominator of 22/5 and 81/(-15) - (-2 + (-35)/(-15))?
15
Let j(m) = m**3 + 15*m**2 + 15*m + 21. Let h be -16 - 5/(10/(-4)). Calculate the smallest common multiple of (-4)/(-3)*(-6)/(-4) and j(h).
14
Let u(k) = -5*k - 1. Let g be u(-1). Suppose -g*n - 2*n = 0. Let l(a) = -2*a + 2. What is the least common multiple of 12 and l(n)?
12
Suppose 3*q + d = 22, 0 = 2*q - 4*d + 8 - 4. Calculate the least common multiple of 13 and q.
78
Let t(p) = p**2 - 20*p. Calculate the least common multiple of t(21) and 18.
126
Let d = -24923 + 2741443/110. Calculate the common denominator of 9/110 and d.
110
Let w = 302 + -298. Let m(f) = -47*f - 2. What is the least common multiple of m(-2) and w?
92
Let n = -138/5 + 30. Calculate the common denominator of n and 137/6.
30
Calculate the common denominator of (30/8)/((-1155)/(-140)) and 42/125.
1375
Suppose 3*j - 5*m + 26 = 0, -2*j = -6*j - 2*m. Let u be 2133/699 + j + -1. Let z = u - -30917/1398. What is the common denominator of 67/2 and z?
6
Let u = 52378/1335 + -12338981/18690. Let g = u + 3123/5. Find the common denominator of 93/10 and g.
70
Let f(k) = -8*k - 8. Suppose 7*z - 2*z + 15 = 0. What is the least common multiple of f(z) and 4?
16
Suppose -g + 882 = 17*g. Calculate the least common multiple of g and 9.
441
Suppose 0 = -7*k - 4*k + 231. Suppose -3*x + k = 3*m, -x - 2*m + 22 = 2*m. Calculate the least common multiple of 10 and x.
10
Suppose -46 - 53 = -3*o. Calculate the smallest common multiple of o and 27.
297
Let s(l) = 2*l + 23. Let f be s(-10). Suppose f*n - 3*r - 38 = -r, -16 = -n + 4*r. Calculate the lowest common multiple of 3 and n.
12
Let b = 36/18139 - 1847303/7690936. Find the common denominator of 5/32 and b.
1696
Let k be (7 - 7)/((-1)/(-1)). Let d be k + 0/(-2) + 2. Suppose 2*m = -d*m + 20. Calculate the lowest common multiple of 2 and m.
10
Let h = 2240/13 - 367607/2132. Let u = 6925/1804 - h. Calculate the common denominator of -137/18 and u.
198
Let u = 2 - -6. Suppose 0 = 11*x - u*x + 342. Calculate the common denominator of (-5)/10*x/(-5) and 41/8.
40
Suppose 24*p - 250 = -p. Calculate the lowest common multiple of 14 and p.
70
Let p(j) = -j**3 - 7*j**2 + 111*j + 25. Calculate the lowest common multiple of 256 and p(-15).
1280
Let q(o) = o**2 - 8*o - 33. What is the lowest common multiple of 39 and q(-4)?
195
Suppose 17 = 4*p + 3*m, p + p - 4*m = 14. Suppose 0 = -n + p + 1. What is the lowest common multiple of 2 and n?
6
Suppose 18 = 3*d - 6. Let i(h) = h**2 - 4*h - 3. What is the lowest common multiple of d and i(-3)?
72
Let m(o) = -o**2 + 22*o + 38. Let t(j) = -j**2 - 4*j + 3. Calculate the smallest common multiple of m(23) and t(-3).
30
Calculate the lowest common multiple of 6 and (16/28)/((-4)/(-168)).
24
What is the common denominator of (8 - 13002/1456) + 4/14 and -65/16?
208
Suppose -4*t = -t + 3. Let r be t*(-52)/(-8)*10. Calculate the common denominator of -4*(3 - r/(-8)) and 75/4.
4
Let g = 73373/14 + -5236. What is the common denominator of 0 + 1 - (-11)/8 and g?
56
Let j = 823 + -1240. Let a be (-13)/(1/j*-3). Let m = -7139/4 - a. What is the common denominator of 34/11 and m?
44
Let u(k) = -10*k - 2. Let t(y) = y - 3. Let b be t(0). Calculate the common denominator of u(b) and -74/15.
15
Let g = -51257/28008 - -123/389. Find the common denominator of g and -55/64.
576
Let k(o) = -o**3 + 10*o**2 - 8*o - 6. Let h be k(9). Let c = 5 - h. Suppose 5*g - 45 = 5*a, 5*a = 1 - 11. Calculate the lowest common multiple of c and g.
14
Let v(j) = 5*j**2 + 10*j - 5. Let t(c) = -14*c**2 - 29*c + 16. Let g(o) = 6*t(o) + 17*v(o). Calculate the smallest common multiple of g(5) and 6.
48
Let i(k) = 2*k**2 - 33*k + 14. Let z be i(18). Suppose -10*u - z = -27*u. Calculate the lowest common multiple of 1 and u.
4
Let w = -125 + 2447/20. What is the common denominator of ((-4796)/(-220))/(36/5) and w?
180
Let a = 611/5 + -73971/605. Find the common denominator of a and -4/99.
1089
Suppose -4*r + 262 = 102. Calculate the smallest common multiple of 7 and (-9)/2*r/(-15).
84
Calculate the least common multiple of 30 and (-2)/(3*54/(-159) - -1).
1590
Let p be 28/((60/(-34) - -2)/(-2)). Calculate the common denominator of -41/6 and ((-78)/(-7))/((-765)/p).
30
Calculate the common denominator of -6 + (188/144 - -3) and 115/36.
36
Let h(k) = k**3 + 9*k**2 - 3*k - 3. Let s be h(-9). Suppose 0 = 4*l - l - s. Calculate the least common multiple of 6 and l.
24
Let i(u) be the second derivative of u**4/12 + 7*u**2/2 - 4*u. Calculate the lowest common multiple of i(3) and 4.
16
Let z(r) = r + 17. Let l be ((-34)/4)/(2/4). Let u be z(l). Suppose u = -6*c - 2 + 62. Calculate the smallest common multiple of 14 and c.
70
Calculate the common denominator of (-4)/1 + 68/5 and 9/4.
20
Let t = -9 - -33. What is the common denominator of t/8 + 19/(-18) and ((-53)/6)/(1 + -4)?
18
Let q = 21145/6 + -3539. Find the common denominator of q and -79/12.
12
Suppose -5*u + 8*u - 15 = 0. Suppose -3*d - g + 149 = 0, 0*d - 4*g - 28 = -d. Suppose c = u*c - d. Calculate the smallest common multiple of 6 and c.
12
Let r be (-63)/(-15)*1*-5. What is the lowest common multiple of 9 and (7/(r/24))/(-2)?
36
Suppose 5 + 23 = u. Suppose 35*j = 2*g + 37*j + 8, g = 5*j + 14. Find the common denominator of 13/2 and (-4 - g) + 214/u.
14
Suppose -3*p = u + 1, 4*u - p = 23 - 1. Let t(s) = u*s + 5*s - s**2 + 0*s + s. Calculate the least common multiple of 4 and t(10).
20
Let m = 1370 + -1369. Suppose 7 = k + 4*s - 5*s, -5*k - 2*s = 0. Calculate the lowest common multiple of k and m.
2
Let n(s) = -s**3 + 16*s**2 - 28*s + 12. Let d(i) = -2*i**3 - 3*i**2 + 4*i - 1. Let c be d(-3). What is the lowest common multiple of n(c) and 18?
36
Let v = 101320/33 - 3070. Calculate the common denominator of 6942/(-104)*2/9 and v.
66
Let k = 32 - 16. Suppose -23 + 47 = 6*j. What is the lowest common multiple of 2/(-2) + k + 1 and j?
16
Let p = 4198006 + -41940821/10. Let w = -3929 + p. Let b = -4071 - -40793/10. Calculate the common denominator of w and b.
10
Calculate the common denominator of 17/66 and 3705/1800 + 2/5.
264
Calculate the common denominator of 3*(-106)/16*191/573 and 50/3.
24
Let k = -87 + 18. Find the common denominator of 38/13 and (-1)/(-3)*1702/k.
117
Let z be (-1)/(15/9 + -2). Suppose -47 = -z*m + 19. What is the least common multiple of m and 12?
132
Suppose 91 = 8*o - 165. What is the smallest common multiple of o and 12?
96
Suppose -3*r + 4*r = 101. Let j = r + -51. Suppose -3*p - 8 + j = 0. Calculate the smallest common multiple of p and 10.
70
Let r = -56/323 + 54165/1292. Let x = r + -487/12. What is the common denominator of x and -93/2?
6
Let m = 35 + -49. Let w = -23 + 15. Let s = w - m. Calculate the lowest common multiple of 2 and s.
6
Suppose -3*s = c + 318, -c + 2*s + 78 = 416. Find the common denominator of 1079/c + (-4)/(-30) and ((-146)/4)/(-2*4).
176
Let p = 15826 + -221657/14. What is the common denominator of p and 116/29 - -242*(-2)/24?
42
Let a = 2494 + -1150. What is the least common multiple of a and 2?
1344
Suppose -2*r + 638 + 278 = 0. Let x = r - 3675/8. Find the common denominator of 14/9 and x.
72
Let s = 65189/10 + -6510. What is the common denominator of (-1017)/(-90) + 0 + -2 and s?
10
Let v(w) = 11*w**2 + 3*w + 2. Let i be v(-1). Suppose 5*u = i*u - 5. Calculate the least common multiple of 13 and u.
13
Let x = -295/34 - -10195/1224. Find the common denominator of x and -23/72.
72
Let c be (4/(-3))/(-1 - (-965)/30). Let y = c + 11992/561. What is th