Calculate the common denominator of ((-15)/132)/((-2)/60) and ((-4)/j)/((-4)/142).
198
Let q be (2937/(-5))/(16/(-60)). Let n = 2184 - q. What is the common denominator of n and 2/(8/(-83) - 0)?
4
Find the common denominator of ((-28)/6)/(7 - 13) and -21/2.
18
Calculate the common denominator of 475/140 - 4 - -3 and -9/28.
28
Let n be 3*2/(-3) - -17. Find the common denominator of 117/10 and 580/n*(-18)/(-16).
10
Suppose -2 - 19 = -2*s - r, -3*r = 4*s - 43. What is the least common multiple of s and 2/2*(0 - -9)?
90
Let c = -43 - -63. Find the common denominator of -38/9 and c.
9
Let j(t) = 9*t**2 - t + 1. Suppose -p - 17 + 23 = 0. Calculate the lowest common multiple of p and j(1).
18
Let x be (-7806)/(-168) - (1 - 1). Let n = x - 390/7. Calculate the common denominator of -131/6 and n.
12
Suppose 0*r = -5*k - 2*r + 26, 4*r + 8 = 5*k. Suppose -k*s = -z - 2*z - 28, 38 = 3*s + 2*z. Calculate the lowest common multiple of 11 and s.
110
Let t(k) = 3*k**3 - 2*k**2 - 2*k - 1. Let n be t(-1). Let f = -2 - n. Suppose -f*d + 0*d + 8 = 2*w, -2*d = w. What is the lowest common multiple of 16 and w?
16
Let i(d) = 3 + 7*d - 5*d - 5 - 4*d. Calculate the smallest common multiple of i(-6) and 8.
40
Let i = -4861/2 - -2387. Find the common denominator of i and 93/10.
10
Let j = -18 - -26. Let s be (3 - 1)*(-21)/(-6). Let u(n) = n**2 - 5*n - 4. Calculate the lowest common multiple of u(s) and j.
40
Suppose 2*m + 78 = 3*m + o, 0 = 2*m + 4*o - 166. Let c be 3*4/4*1. Suppose -c*l - m = 62. What is the common denominator of 25/2 and l?
2
Let a = -9422 + 94127/10. Find the common denominator of a and -27/20.
20
Suppose 40 = b + q, -43 = -b - 3*q + q. Calculate the common denominator of b and -16/75.
75
Let c = 3/16 + -247/16. Let d = 309 + -90. What is the common denominator of (d/8)/(36/16) and c?
12
Let q(t) = t + 0*t**2 + 2*t**3 - 2*t**2 + 3*t**2 + 0*t**2. Let o = -3 - -9. What is the smallest common multiple of o and q(2)?
66
Let u(d) = d**2 + 7*d + 9. Let f = -7 - -7. Suppose -40 = -5*o - f. Calculate the lowest common multiple of o and u(-6).
24
Suppose 0 = -4*h + 32. Calculate the smallest common multiple of h and 4.
8
Let y = -42349/286 - -1896/13. Let c = -1831 - -7281/4. What is the common denominator of y and c?
44
Suppose 6*a - a - 2*p = 96, 3*p = 2*a - 34. Suppose 0 = -0*n - 5*n + 45. Let u = n - -5. What is the smallest common multiple of a and u?
140
What is the common denominator of -20/3 and (-1869)/280 + (-2)/10?
24
What is the smallest common multiple of 22 and (-21)/2*44/(-33)?
154
Let v(x) = -11*x**3 - 2*x**2 - 7*x + 4. Let n be v(-7). Let f = -44603/12 + n. Let r = 368/45 - 473/180. Calculate the common denominator of r and f.
60
Let b = -136 + 503/4. Let i(o) = -108*o**2 - 2*o + 1. Let w be i(-3). Let n = w - -1867/2. Calculate the common denominator of b and n.
4
Suppose -3*d = -77 - 760. Suppose -w = 2*w + d. Calculate the common denominator of 54*(-3)/(w + -3) and 109/6.
48
Let z = 9839 - 541164/55. Calculate the common denominator of z and 16/45.
495
Find the common denominator of 45/18*-59*1/60 and 56/9.
72
Let k(a) = a**3 - 7*a**2 + 6*a - 2. Let s be k(6). Find the common denominator of (-381)/54 - (s + 1) and -109/20.
180
Let m = 1675/126 + -92/9. Let g = -2880 - -34627/12. Calculate the common denominator of g and m.
84
What is the lowest common multiple of 8 + 0/((2 - 0)/(-2)) and 22?
88
Suppose 0 = 3*z - 3 - 3, h = z + 96. Calculate the lowest common multiple of h and 20.
980
Let f(o) = -o**2 - 5*o - 1. Let g be f(-4). Suppose -2*n + 30 = g*n. Suppose 4 = 5*z - 11. Calculate the smallest common multiple of n and z.
6
Let g(h) = -h**2 + 6*h + 7. Calculate the lowest common multiple of g(5) and 8.
24
Let r be (-12)/(-78) - (-1192)/26. Let h = r - 26. Calculate the smallest common multiple of h and 6.
60
Let f = 1/30280 - 558/2570015. Let p = -39965/5432 - f. Calculate the common denominator of p and -101/22.
154
Let v = -90 - -99. Calculate the least common multiple of 51 and v.
153
Let v = -4 - -7. Let z be -3 - (v + (-8510)/1624). Let i = z + 2/203. What is the common denominator of i and 15/14?
28
Suppose -4*k + 17 = 1. Suppose 3*l - 44 = -2*x, -3*x + 50 - 120 = -k*l. Calculate the lowest common multiple of 12 and l.
48
Let a be (-7)/(-28) + (-3)/(-4). Suppose a = 4*s - 7. Calculate the least common multiple of 16 and s.
16
Let p = 120 + -85. Calculate the smallest common multiple of p and 55.
385
Let u = 6 + -3. Let j = 7 - u. Let m(v) = 4*v**2 + v + 2. Calculate the least common multiple of j and m(-1).
20
Calculate the common denominator of 50/11 and 997/(-90) - 4/18.
110
Let h(q) = -q**2 + 12*q + 22. What is the common denominator of h(15) and -43/5?
5
Let j = 8397 - 1267958/151. Let l = j - -8069/906. Calculate the common denominator of l and 3/22.
66
Let n = 19615457/111930 + -54796/615. Let m = n - 1184/13. What is the common denominator of m and 71/14?
14
Suppose 5*f + 0*m - 314 = -4*m, f + 5*m - 46 = 0. Let a(b) = b**2 - 3*b - 2. Let i be a(5). Calculate the common denominator of f/i*(-3)/9 and 57/22.
44
Suppose -12*t - 40 = -14*t. Let y = 5 - 3. What is the smallest common multiple of y and t?
20
Suppose 0 = -0*m - 2*m + 2. Calculate the least common multiple of m and -2 + 3 - (0 + 0).
1
Let r = -104 + 134. What is the least common multiple of r and 51?
510
Let q(f) = 3*f**2 - 2*f + 2. Calculate the lowest common multiple of 6 and q(2).
30
Let w = 0 - -18. Let f be 12/30 - (-272)/295. Let q = 3443/118 + f. Find the common denominator of w and q.
2
Calculate the common denominator of 3/132*-134*-1 and -19/10.
110
Let o = -13/4 - -115/36. What is the common denominator of -71/20 and o?
180
Let a(k) = k**3 + 9*k**2 + 7*k + 4. Calculate the smallest common multiple of 28 and a(-8).
84
Let o = 52 + -28. Suppose -v = v + o. Calculate the lowest common multiple of 2 and (8/v)/(2/(-18)).
6
Let x(h) = 11 - 2 - 3 - h - 4. Calculate the lowest common multiple of 26 and x(-8).
130
Let q(i) = i**2 + 5*i - 1. Let s be q(-6). Suppose 4*g - 2*x = 5*g - 177, s*x = 4*g - 747. Calculate the common denominator of g/(-12) + 2 - -1 and -79/8.
8
Let u = 430 + -429. What is the lowest common multiple of u and (-2*1)/((-1)/1)?
2
Let d = 21 + -13. What is the lowest common multiple of d and ((-15)/10 + 1)*-14?
56
Let d = 8054 - 80449/10. Calculate the common denominator of d and -79/4.
20
Let d = 3328/1309 - -22/119. Let g = -458 - -3224/7. What is the common denominator of g and d?
77
Let h(s) = 19*s - 1. Let z be (2/2)/(2/4). Suppose -u - 17 + 3 = -3*o, 4*o - 18 = z*u. Calculate the lowest common multiple of 4 and h(u).
36
Let c = -1061015/214 + 4958. Let q = -3797/107 + c. Calculate the common denominator of q and -53/14.
14
Let n be 1/((-1)/1) - 1. Let m be (n + 0)/(12/(-90)). Suppose m = 2*f + 3*f. What is the lowest common multiple of 2 and f?
6
Let b = 391 + -853/2. Let q = b - -50. Calculate the common denominator of q and -51/2.
2
Suppose -41190 = -4*r + 28210. Let n = 312427/18 - r. Find the common denominator of n and -117/20.
180
Suppose -28 = -20*q + 18*q. What is the lowest common multiple of ((-3)/(-1))/(6/4) and q?
14
Let h(g) be the second derivative of -g**5/20 - g**2 + 2*g. What is the least common multiple of 12 and h(-2)?
12
Let s(u) = 1260*u + 9. Let d be s(5). Let c = 64230807/14 - 4581612. Let y = d - c. What is the common denominator of y and -3/4?
28
Suppose -2*y - 55 - 27 = 0. Let w = -21 - y. What is the least common multiple of w and 20?
20
Suppose 5*i - i = -3*b + 19, -3*b - i = -7. Let d = b + 0. Let c = d - -3. What is the least common multiple of c and 9?
36
Let m = -4 + 12. Calculate the common denominator of 6/27 - 1678/(-144) and 2/m + 290/(-56).
56
Let w(q) = q + 2. Let n be w(0). Calculate the common denominator of (n/5)/(44/235) and 85/4.
44
Let x = 251/5 + -2449/45. Let n = -2129/6 - -361. What is the common denominator of x and n?
18
Suppose 0 = t - v, t = -3*v + 11 + 5. Suppose 42 = t*k + 2*a, k - 6 = -0*k + a. What is the least common multiple of k and ((-7)/2 + 4)*2?
9
Suppose 56 = 10*g - 6*g. What is the least common multiple of g and 6?
42
Suppose 5*n = 9*n - 132. Calculate the smallest common multiple of n and 1.
33
Let i = 76 - 48. Let y = -20 + i. What is the least common multiple of 5 and y?
4