97 + 159. Calculate the common denominator of 45/16 and 2 - 3 - u/18.
144
Calculate the common denominator of 11/14 and (-8)/(-2) + 910/120.
84
Let k(y) = -6865*y**3 + y**2 - 1. Let f be k(1). Let q = f + 123535/18. What is the common denominator of q and -5/4?
36
Let j be -3 - -1*(18 + -1). Suppose w + x = -x + 8, -4*x = w - j. Calculate the least common multiple of w and 6.
6
Let m = 23/2493 + 15763078/17451. Let a = m + -907. Let w = -429 - -4283/10. What is the common denominator of w and a?
70
What is the least common multiple of 20 and 1335/21 + (-12)/(-28)?
320
Suppose -2*x - 11 = 5*k, x = -x - 4*k - 6. Suppose -d - 58 = 4*w - 92, 0 = -5*w - 4*d + 37. What is the smallest common multiple of w and x?
63
What is the common denominator of 7/(1 - (-4)/14) and (-7)/8 - (3 - 1)?
72
Suppose -3*q + 169 = 49. Suppose r - 3*r = -q. What is the smallest common multiple of r and 12?
60
Suppose 0*i = 5*i - 90. What is the common denominator of -73/14 and (-490)/36 - 4/i?
42
Suppose 48 = -i + 5*l, -3*i + 4*l + 239 = -6*i. Let h = -32 - i. Find the common denominator of 24/11 and h.
11
Let n(o) = o**3 + 3*o**2 - o + 2. Let f be n(-3). Let t be 2*3/5*f. Let r(u) = -u**2 + 10*u - 6. What is the smallest common multiple of r(t) and 10?
90
Calculate the common denominator of ((-2)/(-5))/((-32)/(-236)) and 31/18.
180
Suppose -17*r + 100 = -12*r. Calculate the lowest common multiple of 6 and r.
60
Let r(h) = -12*h**3 + h**3 + h**2 - 4*h**3 + 2*h. Let b(t) = t**2 - t. Let y(m) = b(m) + r(m). What is the lowest common multiple of y(-1) and 4?
16
Let r = -10472 + 376939/36. Find the common denominator of r and -87/22.
396
Let k be 3 + (0 - 11006151/3668721). Let c = -96980193861/12229070 + k. Let j = c - -7942. Find the common denominator of j and 33/2.
10
Let c = 1 + 5. Calculate the lowest common multiple of (-2)/(-7) - 12/(-7) and c.
6
Let f(u) = 5*u + 9. Let x be f(9). Suppose d + 2*d - x = 0. Calculate the smallest common multiple of d and 6.
18
Calculate the least common multiple of (2/6)/(1/48) and 10.
80
Suppose -c - 3*f = -0*c - 2, 3*f = -2*c + 7. Let d(p) = -2*p + c + 2*p + p**2 + 0*p**2 - 10*p. What is the common denominator of -7/3 and d(8)?
3
Calculate the common denominator of (5 - 1) + (-94)/22 and 57/14.
154
Let l = -1/33 + 13/66. Let s be -2 - 507/(-72672)*-94. Let u = s - 24/757. What is the common denominator of u and l?
48
Suppose 2 = -3*w + 32. What is the smallest common multiple of 4/w + (-156)/(-10) and 18?
144
Find the common denominator of 91/20 and (5 - 4)*(-106)/(-32).
80
Let a be (6/8)/((-78)/(-524)). Let x be ((-75)/10)/(13/(-6)). Let k = x + a. What is the common denominator of k and 62/5?
10
Let x = -4 + 6. Suppose 10 = t - 2*q, 2*t + 0*q - 11 = -5*q. Calculate the smallest common multiple of t and x.
8
Let n = 29 + -19. Find the common denominator of 4 + 73/n + 0 and 14.
10
Calculate the least common multiple of ((-4)/(-7))/(16/168) and 4.
12
Let r = -9551/2992 - -7/1496. Find the common denominator of r and 26/(-40) + 1/(-2).
80
Let v = 1385 + -530. Calculate the common denominator of 95/6 and ((-4)/(-10))/(27/v).
6
Suppose 4*f - 12 = 4*w, 3*f - 7 = 5*w + 2. Calculate the lowest common multiple of 24 and f.
24
Suppose 2*r + 43 = -41. Calculate the common denominator of 83/34 and r.
34
Let z = 6 - 4. Suppose -z*p - 13 = -2*g - 3*g, g + 5*p - 8 = 0. Suppose -a + 11 + g = 0. Calculate the least common multiple of 16 and a.
112
Suppose -2*a + 12 = 2*a. Find the common denominator of (-248)/(-42) - a/9 and 12.
7
Suppose -3*u + 18 = 4*m, -3*u - m + 6 = -3. Suppose 4*t - w = 20, -3*t - 2*w + 6 = -9. Calculate the lowest common multiple of u and t.
10
Let p(w) = -2*w + 3*w - 4 - 2*w. What is the smallest common multiple of 2 and p(-12)?
8
Let u be (-1 + 7)/(2 - 0). Let q(k) = -k**3 + 4*k**2 + 2. Suppose 10 = 3*a - a. What is the least common multiple of q(u) and a?
55
Let j = 252833/123618 + 1/5619. What is the common denominator of j and 17/10?
110
Calculate the smallest common multiple of (-6)/9 - (94/3)/(-2) and 15.
15
Calculate the common denominator of 111/10 and (-35)/(-28)*2/(-10).
20
Let f be 0/(-3 + (-2)/(-1)). Let m(o) = o**3 + o**2 + o + 1. Find the common denominator of -9/7 and m(f).
7
Suppose 3*t - 30 = -5*l, -2*t = -l - 0*l + 6. Let g(x) = x**2 + 9*x + 12. Calculate the lowest common multiple of g(-8) and l.
12
Suppose 30 + 20 = 5*y. Let v = y + -3. What is the least common multiple of 2 and v?
14
Suppose m - 9 = 3*i, -116 = -4*m - i - 3*i. Suppose 0 = -5*c - d + 86, -73 = -5*c - 5*d - 3. Calculate the least common multiple of c and m.
72
Let q = -9448581294265/2858 - -3306011601. Let n = q - 3/1429. Calculate the common denominator of (1/2)/(18/(-16)) and n.
18
Suppose 4*i - 2*u = 3*i + 454, i - 3*u = 453. Suppose -4*l + i = -2*l. Calculate the least common multiple of 18 and l/14 + 14/(-49).
144
Let h be (-2)/(-7) + 24/14. Suppose -h*x = 3*u - 6, 2*u + x - 5 = -0*x. Calculate the least common multiple of u and 9*(1 + -1 + 1).
36
Suppose 4*j = -2*i + 12, -2 = i - 0*i - 2*j. Calculate the lowest common multiple of i and 43.
86
Let n = 993/40 - 3/40. Let t = 525248/15465 + -100/1031. Let g = t + -80/3. What is the common denominator of n and g?
20
Suppose 0 = 4*v - 4*k - 56, 5*v + 0*k - 82 = -k. Let y(m) = 2*m + 5*m - 3*m. What is the lowest common multiple of y(1) and v?
16
Let m(g) = -5*g - 7. Calculate the lowest common multiple of 8 and m(-3).
8
Let m be -14*(-1)/2 + 0. Let i = m + -4. Suppose 0 = -4*k - i*j - 0 - 7, j + 5 = 0. What is the lowest common multiple of k and 8?
8
Let g(l) = 9*l**2 - l - 1. Calculate the least common multiple of 3 and g(-1).
9
Suppose 0 - 5 = -h. Suppose -h*c + 13 = -87. Calculate the smallest common multiple of 1 and 31/5 + (-4)/c.
6
Let t = 1 + -2. Calculate the common denominator of -49/6 and -59*(-2)/(t - 11).
6
Suppose -2*k + 6*k = 0. Suppose k = b - 3*i - 0 + 3, -3*b + 3 = -3*i. What is the lowest common multiple of 23/4 + b/12 and 9?
18
Let t = 6 + -9. Let p be 1/t + (-1)/(-3). Suppose p = 4*a + 3*f - 71 + 6, -5*a + 58 = -4*f. Calculate the smallest common multiple of 8 and a.
56
Let k = 395 - 1232/3. Calculate the common denominator of k and 57/10.
30
Let d be 2*1 + 9454/12. Let x = -799 + d. What is the common denominator of x and 1/(9/141) + -1?
6
Let t(k) = k**3 - 5*k**2 - 5*k + 5. What is the smallest common multiple of 9 and t(6)?
99
Let z(p) = -8*p + 24. Calculate the smallest common multiple of z(-3) and 2.
48
Let l = 59 - 39. What is the lowest common multiple of l and 6?
60
Let j = 140311/18 - 7789. Find the common denominator of j and 71/22.
198
Suppose 0*j - 5*j + 55 = 2*q, -33 = -2*j - 3*q. What is the least common multiple of j and 1*(-19 - -1)/(-2)?
9
Calculate the least common multiple of 2 and ((-44)/6)/(24/(-144)).
44
Let x(z) = -5*z + 52. What is the least common multiple of x(10) and 10?
10
What is the common denominator of ((-1)/24)/(2/284) and -31/2?
12
Suppose 2*v + j = 3*v, 16 = -4*v - 4*j. Let i be 2*(4 + v)/4. Find the common denominator of ((-29)/(-3) + -2)*i and -55/8.
24
Let u(j) = -j**3 + 2*j**2 - 4*j + 2. Let i be u(2). What is the common denominator of 12/9*i/(-10) and 106/(-44)*2/(-1)?
55
Let i(v) be the second derivative of -v**3/2 + v**2/2 - v. What is the smallest common multiple of i(-3) and ((-4)/(-10))/(1/10)?
20
Find the common denominator of (-996)/(-798) + 2/(-14) and 71/4.
76
Suppose -4*w = p - 0*w - 24, -2*p = w - 20. Calculate the least common multiple of p and 6.
24
Let b = -1 + 2. Let c be ((-120)/(3/3))/b. What is the common denominator of -91/20 and (-1)/(-3) + 142/c?
20
Let u = 389502/7 - 7016915/126. Let t = u + 400/9. Calculate the common denominator of -77/10 and t.
70
Let d = 10 + -2. Calculate the common denominator of 3/d*2/(-12) and 3/((-96)/(-116)) - 3.
16
Let v(m) = -m. Let r(x) = 4*x + 1. Let k(l) = 2*r(l) + 11*v(l). Suppose -3*f = 4 + 14. What is the smallest common multiple of k(f) and 16?
80
Suppose -5*x + 9*x - 42 = -3*r, -2*r = 3*x - 29. Suppose -v - 30 = -6*v. Calculate the least common multiple of r and v.
30
Let x(t) = 5*t + 5. Let o be x(-2). What is the common denominator of (-2)/o*(-35)/(-12) and 19/16?
48
Let a = 39 + -21. What is the smallest common multiple of a and 16?
144
Let v be (2*4041/(-66))/1. Let