
Let z = 61/25 - -1887/200. Calculate the common denominator of z and 10/(-6)*12/8.
8
Let b(x) = 7*x - 1. Let h be b(-8). What is the common denominator of 37/7 and (5/15)/((-3)/h)?
21
Suppose -2*a = -3*t + 24, 26 = -5*a - t - 0*t. Find the common denominator of -67/30 and 20/a*(-180)/(-176).
330
Let p = 2 - -3. Let m(j) = 4*j + 46. Let f(n) = n + 9. Let r(a) = -11*f(a) + 2*m(a). What is the lowest common multiple of p and r(-6)?
55
Calculate the common denominator of 3 - 6 - (9331/(-2912) + 0) and 127/12.
1248
Let q = -82 - -88. Calculate the lowest common multiple of 1134 and q.
1134
Let q = 19117/1964 - -8/491. Calculate the common denominator of q and 121/24.
24
Let u(z) = -z**3 + 10*z**2 + 5*z - 14. Suppose -5*a + 18 = w - 3*a, 2*w - 24 = 2*a. Calculate the smallest common multiple of w and u(10).
252
Let b(a) = 23*a**3 + 3*a**2 + a - 2. Let u be b(-4). Calculate the common denominator of u/77*1/(-8) and 49/2.
28
Let n = 2746 + -49537/18. Calculate the common denominator of 40/(-12)*(-2)/24 and n.
18
Calculate the smallest common multiple of (1123 - -3) + 0/17 and 16.
9008
Let n be 8/(-20) - 2044/15. Let j = n - -133. Calculate the common denominator of j and -139/6.
6
Let y(g) = -23*g - 3. Let o be y(-5). Find the common denominator of 1110/o + 2/(-7) - 1 and -83/22.
88
What is the common denominator of 30/403 and (104/64)/(-13) + -6?
3224
Let t = 4511/16 + -277. Find the common denominator of -99/380 and t.
1520
Suppose 4*q + 71 - 423 = 0. Let k(w) = -181*w - 1081. Calculate the lowest common multiple of k(-6) and q.
440
Calculate the common denominator of 39/62 and 7 - (-7 + 1228/64).
496
Let w be (7684/(-10))/((-1)/(-5)). Let y be (-1)/(-8) + 1599220/(-416). Let b = y - w. What is the common denominator of 20/3 and b?
39
Let o be -2*20*(-30)/(-15). Calculate the least common multiple of 14 and (-1 - (-28)/20)/((-2)/o).
112
Suppose -2*h = -5*h + 108. Calculate the least common multiple of h/2*10/30 and 11.
66
Let g be (-3 - -4) + 5/5. Let b be (-6)/g + (1 - 2). What is the common denominator of (469/21)/(b/6) and 107/34?
34
Let o(j) = 2*j**2 + 14*j - 2. Let g be o(-12). Suppose 0*m = 2*m - 3*u + 118, -2*m - g = -4*u. Find the common denominator of -3*2/42*m and 151/6.
42
Let v be ((-14)/(-2))/(34/(-12) + 3). Calculate the least common multiple of (9*7/v)/((-6)/(-56)) and 24.
168
Suppose -18*n = -13*n - 15. What is the smallest common multiple of n and (2 + -3)/((-1)/3)?
3
Suppose -3*g + 5*g = 40. Suppose -25 = -2*q - 3*q. Suppose 17 = t - q. What is the least common multiple of g and t?
220
Let x = 17 + 4. Let i(m) = m**3 - 21*m**2 + 6. Calculate the lowest common multiple of i(x) and 32.
96
Let y be (-9)/12 - 38/(-8). Suppose -4*k + k + 5*m + 150 = 0, -y*k = 4*m - 232. Find the common denominator of 20/(-25)*k/(-2) and -11/9.
9
Let l = 48 + -6. Let p = -30 + l. What is the least common multiple of p and -8*(0 - (-10)/(-4))?
60
Let q = -164381/55726 + -12/2533. Find the common denominator of q and ((-104)/39)/((-12)/10).
198
Let y = 2/1313 + 24865/53833. What is the common denominator of 85/4 and y?
164
Let u = -567617/50 - -11354. Let v = -413/624 + -1/39. Find the common denominator of u and v.
400
Let m = -4458 + 6343. Let l be ((-124)/10)/(13/m). Let j = l - -12554/7. Calculate the common denominator of j and 22/9.
63
What is the common denominator of (-3283)/(-2546) + -3*1 and -97/8?
152
Calculate the common denominator of -73/35 and (-65)/(-45)*(-144)/(-42) + -4.
105
Suppose 0 = -8*y - 6 - 26. What is the common denominator of y/2 - (-43)/(-6) and -113/18?
18
Suppose 0 = -4*p + 320121 + 6252583. Let o be p/(-1173640) - 6/8. Let k = o + 2/29341. Find the common denominator of k and -89/16.
80
Let t(f) be the second derivative of -f**5/20 + f**4/3 + f**3/3 + 5*f**2/2 - 4*f. Suppose 3*q + 2*q - 20 = 0. Calculate the least common multiple of 3 and t(q).
39
Let g = 0 + 5. Suppose 0 = 3*h + 15, -4*h - 20 = 7*u - 8*u. Suppose -5 = g*f - 5*s, u*f - 7 = 2*f - 3*s. What is the least common multiple of 9 and f?
36
Suppose 48 = 2*s + s. Suppose 0 = -4*w - 4*w + s. Calculate the smallest common multiple of w and 14.
14
Let i = -372921 + 87263653/234. Let g = -8/39 + i. Calculate the common denominator of ((-590)/900)/(0 + 1/3) and g.
90
Let m = 580 + -579. Suppose -5*l = -2*l - 21. What is the lowest common multiple of m and l?
7
Let b(r) be the third derivative of r**5/15 + r**4/24 + r**3/2 - r**2. Let k be b(-3). Find the common denominator of (2 - (-3)/k)*-10 and 133/12.
12
Suppose k + 1 = 6. Suppose -k = 4*o + 27. Let b = o + 11. What is the smallest common multiple of 2 and b?
6
Let i be -1*(-182)/4*-12. Let b = 2085325/8 + -260125. Let d = b + i. Calculate the common denominator of -87/4 and d.
8
Let g(y) = -y**3 + 15*y**2 + y - 15. Let h be g(15). Calculate the common denominator of 69/8 and 2/(40/(-228)) + h + 3.
40
Suppose 3*j - 6 - 9 = -i, 3*i - 25 = -4*j. Let k = -61 - -63. Suppose 0 = k*c - 5*z + 2*z - 17, 0 = c - z - 11. What is the lowest common multiple of c and j?
16
Suppose -5*b = -3*z + 2, 5*b - 33 + 3 = -5*z. Let q(m) = 5*m**2 - 3*m + 2. What is the least common multiple of q(b) and 52?
208
Let r = 200 + -953/5. Let d = 26/3 - 8. Calculate the common denominator of d and r.
15
Suppose 2*s + s = -o - 91, 0 = 3*s - 5*o + 121. Let m = -24 - s. Suppose -m - 34 = -3*b. What is the smallest common multiple of b and 4?
28
Let s = -190 - -196. Calculate the smallest common multiple of 28 and s.
84
Suppose -3*a + 14 = -5*z, -21*a = -19*a - 3*z - 10. What is the smallest common multiple of 720 and a?
720
Let k(d) be the first derivative of 7*d**3/3 - d**2/2 - 11. Calculate the lowest common multiple of k(1) and 21.
42
Suppose -2*c - 12 = 2*c. Let d be 1 - 0 - (c + -1). Suppose -2*f + 6*f - 4*j - 36 = 0, d*j + 9 = -f. Calculate the smallest common multiple of f and 8.
24
Suppose 5*z - z - 312 = 0. Let a = -7950 - -63683/8. Calculate the common denominator of a and z/9 + 2 + -2.
24
Suppose -305 + 74 = -11*s. What is the least common multiple of 6 and s?
42
Let w(n) = n - 10. Let u be w(-7). Let k = u + 25. What is the smallest common multiple of ((-14)/(-21))/((-3)/(-81)) and k?
72
Let q be (-16)/(-9) - (-8)/36. Suppose q*s + 5*z = 4, 4 = 2*s + z - 8. Calculate the lowest common multiple of s and 11.
77
Suppose 0 = -2*j + 5*j - 122949. Let u = j - 110367221/2693. Let w = u + 261253/43088. Calculate the common denominator of w and -103/28.
112
Let x(h) = h**2 + 9*h - 9. Let o be x(-10). Let c be 2*7 + o + -4. Let r = -1 + c. What is the least common multiple of r and 6?
30
Let r be (-3)/5*41512/12. Let i = r + 2066. Calculate the common denominator of -11/35 and i.
35
Let i = -6463/3894 + -20/177. Let m = 226/5 - 927/20. What is the common denominator of m and i?
220
Let n = -294 + 310. Calculate the smallest common multiple of 22 and n.
176
Suppose -5*j + 967 - 67 = 0. Calculate the smallest common multiple of 30 and j.
180
Let l = 968 + -748. Calculate the smallest common multiple of l and 4.
220
Suppose 2*f + 4*f = 36. Let l(y) = -y**3 + 9*y**2 - 15*y + 2. What is the lowest common multiple of 2 and l(f)?
20
Suppose 2*y - 53 = -5*z, -5*z + 0*y + y = -41. What is the lowest common multiple of 6/z + (-84)/(-9) and 57?
570
What is the common denominator of (0 - -7)/(-1) + (-110531)/(-14124) and 7/60?
660
Let o be (44/(-33))/(4/6). Let f be o/(-10)*27005/286. Let y = -31/13 + f. What is the common denominator of -26 and y?
2
Let r = 592/15 + -124/5. Calculate the common denominator of -69/8 and r.
24
Let y be 1 - -6 - (-3)/3. Calculate the smallest common multiple of (-44)/y*-2 - 0 and 38/5 + (-18)/30.
77
Suppose -11 + 31 = 5*l. Suppose -84 = -l*g + 4*b, 0*g - 5*b = -4*g + 83. Calculate the least common multiple of 28 and g.
308
Let n(q) = -q - 3*q**3 - 8*q**2 + 9*q**2 + 2*q + 1. What is the smallest common multiple of n(-1) and 10?
20
Suppose 0 = -5*d - 10, 5*t + 0*t = -5*d. Let i = 134 - 131. Suppose -i*w - t*r = -14, -5*r + 30 = 5*w - 0. Calculate the smallest common multiple of w and 20.
20
Suppose -6 = -3*x + 6. Suppose -5 + 17 = x*t. Calculate the smallest common multiple of t and 3.
3
Let m be (0 + 1/(-2))*10. Let h(i) = i + 8. Suppose 17*q - 135 - 18 = 0. What is the lowest common multiple of q and h(m)?
9
Suppose -3*m = -15