 - (-1 + -2)/3. Let r = v - 20. Suppose -5*h = r - 52. What is the least common multiple of h and 18?
72
Let a be (-3980)/(-944) + 2/(-8). Let s = a + 4685/708. Find the common denominator of s and ((-13)/(-7))/(24/(-154)).
12
Suppose -2*h + 5*h = 0. Calculate the smallest common multiple of 8 and (h + -1)/((-1)/20).
40
Suppose 0 = i + 2*n - 19, -33 = -2*i - n - 10. What is the lowest common multiple of 4 and (i - 0)/(5 + -4)?
36
Let x = 1/95 + 6736/855. Let m = -31474 + 95252/3. Let t = -8986/33 + m. Calculate the common denominator of t and x.
99
Let i = 5/78 - -1967/39. What is the common denominator of i and 43/10?
10
Let q(z) = -z**3 + 15*z**2 + 24. Calculate the smallest common multiple of 28 and q(15).
168
Suppose 5*k - 6 = -4*w, -4*w = -k - 5*w + 1. Let r(p) = 3*p - 1. Let v be r(3). Let g(q) = q - 2. What is the least common multiple of g(v) and k?
6
Let m = 516/5 - 4023/40. Calculate the common denominator of m and 91/8.
8
Suppose -2*d + 3*d - 6 = 0. Calculate the least common multiple of 16 and d.
48
Calculate the smallest common multiple of (-4)/22 + 804/66 and 20.
60
Let k = 1/25 - -117/200. Calculate the common denominator of 51/4 and k.
8
Let p(r) = r**2 + r. Let m(l) = -8*l + 3. Let f(s) = -m(s) - p(s). Calculate the lowest common multiple of 9 and f(3).
9
Find the common denominator of (2/(-10))/(28/(-1435)) and 29/3.
12
What is the common denominator of -2 + 0 + (-20)/6 and (7/(-49))/((-2)/(-74))?
21
Let s = -988420/2259 + 3938/9. Let a be 3 - (-4 - 49232/(-4518)). Let u = s + a. Calculate the common denominator of u and 29/4.
36
Let m be (-1)/(-5) - 39/(-5). What is the common denominator of -65*(-1 - 3)/m and 39/8?
8
Let i(f) = -4*f**3 - f**2 + 2*f - 1. Let n be i(1). Calculate the smallest common multiple of (n/(-3) + -2)*-9 and 11.
66
Let m = 25351/48 - 1600/3. What is the common denominator of m and (1*237/(-3))/(-22)?
176
Suppose 0*r + 33 = 3*r. Suppose h + 4 = r. What is the smallest common multiple of -2 - (-8 - (3 + -2)) and h?
7
Let r be 1*(-2 + 69) + -1. Find the common denominator of 35/22 and (-14)/20*r/(-14).
110
Let v = 881/54 + -22/27. Find the common denominator of -73/18 and v.
18
Let k be ((-10)/8)/(3/(-12)). Suppose -4*r = -4, o - 6*o + 45 = k*r. Calculate the smallest common multiple of o and 5.
40
Let f = -2/10041 + 210905/220902. Calculate the common denominator of 67/20 and f.
220
Suppose -j + 3*o = 2*j - 171, -128 = -2*j - 5*o. Let b be 8314/(-140) - (-4)/14. Let g = j + b. What is the common denominator of 119/10 and g?
10
Let g(y) = 5*y - 9. What is the smallest common multiple of 7 and g(4)?
77
Let o(j) = -j + 18. Let q be o(0). Let f = q + -13. Suppose 0 = -4*u + f*u - 20. Calculate the lowest common multiple of 6 and u.
60
Let j be ((-3229756)/488)/((-6)/4). Let x = -317/122 - j. Let c = x + 4434. Find the common denominator of -31/5 and c.
30
What is the least common multiple of (147/7)/(2 - 5/4) and 10?
140
Let l(r) = 16959*r - 3. Let k be l(3). Let g be (-2)/(-7) + k/7. Let x = -58239/8 + g. Find the common denominator of -53/9 and x.
72
Calculate the common denominator of -83/8 and -1 - 1 - (459/(-30))/3.
40
Let j = -2 - -5. Suppose -4*g = 2*v - 14 - 18, -j*g = -5*v + 93. What is the lowest common multiple of v and (12/(-9))/((-2)/15)?
90
Suppose 5*s - 2*s = -45. What is the common denominator of s and -35/4?
4
Suppose -19*t + 16 = -11*t. Let j = 7 - -3. What is the smallest common multiple of j and t?
10
Let d = 14 - 13. Find the common denominator of ((-118)/(-4))/d + -3 and 37/22.
22
Let p be 30/12*36/10. What is the common denominator of 43/5 and (p/16)/((-1)/(-12))?
20
Let s(l) be the first derivative of -5/2*l**2 - 1 - 2*l + 1/3*l**3. Calculate the smallest common multiple of 4 and s(8).
44
Suppose 4*t = -s + 3, 4*s - 50 = -t + 4*t. Calculate the smallest common multiple of 2 and s.
22
Suppose -4*h + 3*r = -0*h - 80, 5*r + 105 = 5*h. What is the common denominator of h and 81/2?
2
Let o(w) = -w**3 + 6*w**2 - 5*w - 2. Let u be o(5). Let h = u - -2. Suppose 12 + h = 2*g. Calculate the least common multiple of g and 11.
66
Let t = 14/3 + -11/2. Let d = 1635/2 - 801. Find the common denominator of t and d.
6
Let x = 321 + -223. Let j = -4/461 + -9208/1383. What is the common denominator of j and 2 + -2 - x/(-16)?
24
Let f = -62 - -92. Calculate the lowest common multiple of f and 12.
60
Suppose 48 = 4*m - 4*h, -4*h + h = -m + 4. What is the lowest common multiple of (-64)/(-10) + 2/(-5) and m?
48
Let c be 2 - 1 - (21 - 2). Let r = 3367/540 - -2/135. Calculate the common denominator of r and (2/c)/(5/275).
36
Let w = 105 - 50. Suppose 4*h - 5*k = -h + w, 0 = 2*h - 4*k - 28. Calculate the smallest common multiple of 8 and h.
8
What is the common denominator of (-8)/(-6)*(-166)/16 and -89/2?
6
Let g(l) = l**2 - 6*l + 2. Let m be g(4). Find the common denominator of -73/20 and (166/m)/(4/3).
20
Let a(m) = -m**2 - 12*m + 31. What is the lowest common multiple of 6 and a(-14)?
6
Let l(m) = m**3 + 9*m**2 + 6*m + 2. Suppose -4*u + 34 = 3*a, 0*u - 3*u - 27 = -3*a. What is the smallest common multiple of l(-8) and a?
90
Let p = -5114 + 56307/11. Let b = 27273/10 - 2739. Calculate the common denominator of b and p.
110
Calculate the common denominator of 107/14 and (-107)/(-22) + (-18 - -14).
154
Suppose 3*o - 3*h - 51 = 0, -4*o + 3*h = -91 + 22. Suppose -5*r + 90 = c - 0*c, 2*c - 90 = -5*r. What is the smallest common multiple of o and r?
18
Let w = -18 + 26. Let g = 64 - 32. Let f = g - 10. What is the smallest common multiple of w and f?
88
Let f(p) = -p**2 - 8*p - 8. Let l be f(-6). Let r be (-150)/(-9) - l/6. Calculate the smallest common multiple of 14 and (6/(-4))/((-12)/r).
14
Calculate the common denominator of -3*(-2)/4*(-56)/288 and 58/15.
120
Find the common denominator of 4/(-144)*106*3 and 71/12.
12
Let c(a) = a**2 - 2*a + 4. Let z be c(4). Suppose -z = -3*q, 0 = -m - q + 4*q + 6. Suppose 0 = -h - 0*h + 18. Calculate the lowest common multiple of h and m.
18
Let n be (-60)/(-52) - (-6)/(-39). What is the least common multiple of n*-4*33/(-6) and 8?
88
Suppose 0 = -4*w + w. Suppose -i + d + 12 + 2 = 0, w = 5*i - 4*d - 72. Calculate the least common multiple of 11 and 10/(-4)*i/(-10).
44
Let f = 4 - 0. Suppose f*m - 90 = -m. Calculate the smallest common multiple of 3 and m.
18
Let t = 90052 - 158221356/1757. Let j = t - 107337/35140. Calculate the common denominator of 47/14 and j.
140
Let j = -4 + 20. What is the least common multiple of j and 6?
48
Let z be (-1)/(2/(24/3)). Let f(s) = -s**3 - 5*s**2 - 4*s + 3. Calculate the smallest common multiple of 1 - ((-28)/(-20) + -1)*-15 and f(z).
21
Suppose -5*f = 29 + 81. Let p = -1114/23 - -18787/414. What is the common denominator of p and 3 + (47/f - -2)?
198
Let i = 320699 - 12128881/38. Let j = 1518 - i. Calculate the common denominator of j and -31/22.
418
Let a(v) = v**3 + 6*v**2 - 6*v + 9. What is the smallest common multiple of a(-7) and 6?
6
Let j be (-4)/18 + (-242)/207. Let q = j - -455/46. Find the common denominator of q and -52/11.
22
Let q = 17940072 - -18816652. Let i = q + -808408079/22. Let c = 10900 - i. What is the common denominator of 77/8 and c?
88
Let n = -116/7 + 349/14. Find the common denominator of 71/4 and n.
28
What is the smallest common multiple of 1 and -4*((-15)/10 + -1)?
10
Let l = 622 + -1185/2. Calculate the common denominator of l and 93/4.
4
Suppose 4*d + 40 = 5*x, -6*x + 24 = -3*x + 3*d. Calculate the smallest common multiple of x and 64.
64
Let p be 140/8*8/90. Let b = 47/36 - p. What is the common denominator of 2/(-1) - 13/10 and b?
20
Let i be (2 - 2)*2/4. Suppose i = 4*z - 58 + 22. Suppose n + 0 - z = 0. Calculate the least common multiple of 7 and n.
63
Calculate the common denominator of -23/6 and (2 - 3) + 408/80.
30
Let x = 1484 + -14863/10. Let q = -3/274 + -8969/411. Find the common denominator of q and x.
30
Let h = 4 + -1. Suppose -3*x = 4*u - 82, h*u - 2*x - 26 = 2*u. Let s = 32 - 18. Calculate the smallest common multiple of u and s.
154
Suppose 3*d = -w - 13, 2*w - 5*d + 5 = 1. Suppose 0*x + 3*x = -3. Calculate the common denominator of 50*1*x/w and 119/6.
42
Suppose 55 = 3*c + 2*c. Calculate the least common multiple of 10 and c.
110
Let j be (-9 - -5) + 30/2. Let g(m) = m + 1. What