
15
Let c = 1107 + -2265/2. Calculate the common denominator of c and 8/12*1/12.
18
Let n(u) = u**3 - u**2 - 13*u + 14. Calculate the least common multiple of 3 and n(4).
30
Let d = -11 - 11. Let u = d - -32. Calculate the lowest common multiple of 12 and u.
60
Suppose 26 = 2*q - 3*p, -p = 5*q + 3*p - 19. Let a = q - -3. Calculate the lowest common multiple of 16 and a.
80
Let s = 3633 - 29133/8. Let g = -19/4 + 11/2. Calculate the common denominator of s and g.
8
Let b(g) = 112*g**3 - g**2 + g - 1. Let z be b(1). Let u = 2017 - 20241/10. Find the common denominator of u and (2 - z/30) + 1.
10
Let s be ((-5)/2)/((-2)/4). Suppose -s*p + 116 = 6. Suppose 5*l - 28 = p. What is the least common multiple of 4 and l?
20
Let j(w) = -w**3 - 5*w**2 - 5*w + 4. Calculate the least common multiple of j(-4) and 4.
8
Let g be (-111)/36*(-2571)/(-4). Let h = g - -1980. Let t = -290 + 1621/6. What is the common denominator of h and t?
48
Calculate the common denominator of 2/11 - ((-472)/308 - 3) and 15.
7
Suppose -2*p = -2*s - 11 + 45, -p + 5 = 0. What is the lowest common multiple of s and 10?
110
Let l = 2 + -5. Let t be l/(-2 + 5) - -19. Let k = t - 11. What is the lowest common multiple of 8 and k?
56
Let f(m) = m**2 + 7*m + 4. Let c be f(-7). Let b be (6/c)/((-34)/52). Let i = b - 397/153. Calculate the common denominator of i and 0.
9
Suppose 3*t - 75 = 4*m + m, 3*t - 69 = 3*m. Let w be 60/(-9)*(-3)/2. Suppose -w = -d - 0*d. What is the least common multiple of t and d?
20
Let h be 38/14 - 4/(-14). Let r = 9 - -16. Suppose r = 5*c, -c = y - 2*c + h. Calculate the lowest common multiple of y and 4.
4
Let q(v) = v**2 - 12*v + 36. What is the least common multiple of 8 and q(12)?
72
What is the common denominator of -3/5 and ((-6)/(-2) - 0) + 161/(-30)?
30
Let x = 2453 - 14791/6. Calculate the common denominator of x and 53/18.
18
Suppose 60 = 2*v - c, -c - 97 = -3*v - 9. Suppose -o + v = -18. Let l = -1548 - -6223/4. Calculate the common denominator of l and o.
4
Let f = -1 - -2. Let x(g) = 4*g. Let y be x(f). Calculate the common denominator of y + -2 + (-57)/12 and 111/10.
20
Let f = 39 + -31. What is the lowest common multiple of 40 and f?
40
Suppose -4 = 3*j - 25. Calculate the smallest common multiple of j and 9.
63
Let w(q) = 58*q - 1. Let c be w(2). Calculate the common denominator of (3 - (-76)/(-24))*-139 and (-10)/35 - c/63.
18
Let o(a) = a**3 + 4*a**2 - 4*a + 9. Let r = 2 + -1. Calculate the smallest common multiple of r and o(-5).
4
Let m = -8 + 20. Calculate the lowest common multiple of m and 24.
24
Find the common denominator of 10*4/(-16)*2/(-4) and 1/17.
68
Let x(c) = c + 7. What is the least common multiple of x(-4) and 1*2/(-2) + 2?
3
Let s be 42238/(-30)*(-15)/(-18). Let p = 1172 + s. Find the common denominator of p and 37/8.
72
Suppose v = 3*v - 8. Let x(p) = v*p - p - 2 + p. Calculate the least common multiple of 4 and x(6).
44
Suppose 2*q - 4*v + 10 = q, -2*v = -q. What is the smallest common multiple of q and 74?
370
Suppose -9 = 2*i - 3*f, 0 = 4*i - 3*f + 8 + 13. What is the common denominator of i/15 + 182/(-45) and -143/6?
18
Let f(a) = a**2 - 5*a. Let l be f(5). Suppose 3*g + 3*x - 8 - 7 = l, 5*g + 3*x = 19. Let i = 16 - g. What is the lowest common multiple of 18 and i?
126
Suppose -11*y + 6*y = -50. Calculate the lowest common multiple of y and 2.
10
Suppose -3*m = -0*m - 3, r = m - 6. Let g = 11 + r. What is the least common multiple of 3 and g?
6
Let c = -78 + 146. Calculate the common denominator of (c/(-32))/(3/4) and -65/6.
6
Let w = -12 + 19. Calculate the least common multiple of w and 1.
7
Let z = 1800 - 35989/20. Let m(a) = -a**2 + a + 3. Let r be m(4). Find the common denominator of (5/r)/(4/(-114)) and z.
60
Let y(w) be the second derivative of 0 - 2*w + 1/2*w**2 - 1/2*w**3. What is the least common multiple of 10 and y(-3)?
10
Let u be (1*-1)/(1/47). Let h = u + 129/2. Find the common denominator of h and 111/14.
14
Let h = 89 - 85. Calculate the lowest common multiple of h and 7.
28
Let p(r) = 14*r - 4. Let f be p(-3). Let b = 6517 - 117233/18. Find the common denominator of f/20 - 21/28 and b.
180
Let v(j) = -4 - 13*j**2 + 0*j**3 - 13*j - 2 - 3*j**3 + 2*j**3. What is the lowest common multiple of v(-12) and 6?
6
Let a = 94 + -64. Find the common denominator of 59/3 and 4/12 + (-337)/a.
30
Let h = 30 - 21. Let i(r) = -1 + 0 + 2*r**2 - r**3 + 5 + 2*r. What is the smallest common multiple of i(3) and h?
9
Let b be (8 - 2) + 8/(-4). What is the least common multiple of 22 and 10/b*4/5?
22
Let q be 16/10 + (-8)/(-20). Suppose 0*s - 48 = q*s. Find the common denominator of 226/s - (-5)/(-15) and 109/14.
28
Let p = -991/231 + 52/33. Let x = -3457 - -34537/10. Calculate the common denominator of x and p.
70
Let f be (-660778)/(-60) - 1/(-3). Let j be (-11024 - (-1 - 0))*-1. Let o = j - f. Find the common denominator of o and -107/14.
70
Let i(o) = -3*o**2 + 0*o**3 + 0*o**3 + o + 2*o**2 - 1 - o**3. Let l be i(-2). Let w = 8 - l. Calculate the least common multiple of w and 10.
70
Let w = -13 + 21. Let v = -5 + 11. What is the smallest common multiple of w and v?
24
Suppose -3*q + 0*q + 21 = 0. Let b(c) = 2*c**3 + 2*c**3 - 2*c**2 - 2*c**3 - 2*c. Calculate the lowest common multiple of q and b(2).
28
Let w = -132/7 + 19. Find the common denominator of 57/10 and w.
70
Find the common denominator of 37/(-4)*(-80)/(-220) and 61/2.
22
Let y = 26 + -4. Calculate the lowest common multiple of y and 32.
352
Suppose -2*b + 0*m + 16 = 3*m, -2*m - 2 = -5*b. Suppose 3*f - 18 = 4*d, b*d = -5*f - 3*d + 65. Calculate the smallest common multiple of 20 and f.
20
Let v(s) = -s**2 - 9*s - 7. Let q be v(-8). Suppose 7 + q = -2*y. Calculate the common denominator of -43/2 and 2 + (1 - (-31)/y).
4
What is the common denominator of (-5)/30 - ((-23)/(-4) - 1) and -93/52?
156
Suppose -5*d + 2*o + 30 = 0, -2*d - 3*o + 1 = -30. What is the smallest common multiple of d and 18?
72
Let o = -30727/20 + 1536. Find the common denominator of -133/24 and o.
120
Let c = 25/6 - -4/3. What is the common denominator of ((-5)/(-18))/(1/29) and c?
18
Let g = 16 + -24. Calculate the common denominator of 2 + -2 + (-85)/g and 53/9.
72
Suppose -5*m = -2*m - 36. Suppose -3*o + 66 = 4*p + 2*o, -4 = -2*o. What is the lowest common multiple of m and p?
84
Let g = 1026 - 2007/2. Find the common denominator of (39/(-27) - -2)*-2 and g.
18
Let k be 1 + -3 + 0 - -2. Suppose k = -3*b + 4*b - 5. Calculate the least common multiple of b and 7.
35
Let s = -8467/3 - -5693/2. Calculate the common denominator of s and 93/2.
6
Suppose 4*l - 2*l - 8 = -4*a, 39 = l - 5*a. What is the smallest common multiple of 20 and l?
140
Let i = 1633/1430 - 6/143. Let l be 1*4/(-8)*6. What is the common denominator of i and (-67)/(-2) - (l - -1)?
10
Let i(s) = 24*s**3 - 3*s**2 + 4*s - 1. What is the smallest common multiple of 28 and i(1)?
168
Let n(b) = -19630*b + 1. Let g be n(4). Let c = g - -861525/11. Let r = -18165/88 - c. What is the common denominator of -4/9 and r?
72
Let o be (-44)/(-198) + (-106)/(-9). Let c = 4 - -10. What is the least common multiple of 182/8 - o/16 and c?
154
Let q(p) be the third derivative of p**5/20 - p**3/6 + 2*p**2. Let j be q(1). Suppose j*f - 2 = 18. What is the lowest common multiple of 3 and f?
30
Let s = 1583 + -6375/4. Find the common denominator of s and -85/2.
4
Let v(n) = 6*n - 45. Suppose -38 = -4*z - 10. What is the smallest common multiple of z and v(8)?
21
Suppose -z = -0*z - k - 10, 22 = 5*z + 2*k. What is the least common multiple of 1 and z?
6
Suppose 8*n - 6*n - 224 = 0. What is the smallest common multiple of n and 8?
112
Let z = 18 + -8. Let x = -6 + 4. Let m = x + z. What is the least common multiple of m and 12?
24
Find the common denominator of (-2 - -4) + (-23)/(-4) and 117/10.
20
Let l = 1147/300 - 6/25. What is the common denominator of l and -37/4?
12
Suppose t - 2*t + 5*o = -10, t = -3*o - 6. Let z = -346/5 - -838/15. What is the common denominator of z and t - (-4)/(36/(-105))?
3
Let t = 2 + -2. Suppose -3*f + 42 = -t*f. What is the smallest common multiple of 16 and f?
112
Let j = -65357/10 + 6526. What is the common denominator of 117/50 and j?
50
Let g = 0 - -2. Suppose -4*t + 8*t = 32. Suppose 0 = -3*n + t*n - 100. What