d h.
3
Suppose 2*u - 45 + 11 = 0. Calculate the common denominator of (u/3)/(14/(-63)) and -43/14.
14
Let c = 233/108 + 70/27. Suppose 4*w + z + 187 = 0, -5*w - 3*z - 215 = 2*z. What is the common denominator of c and w?
4
Suppose 0*f + p + 16 = 4*f, p = 0. What is the smallest common multiple of 10 and f?
20
What is the smallest common multiple of 30 and (12/(-8))/(-3)*12?
30
Calculate the smallest common multiple of (70/21)/((-5)/(-15)) and 28.
140
Let g = 7018/1631 - 4/233. Suppose 41 + 71 = 4*r. Find the common denominator of ((-1)/2)/(18/r) and g.
63
Let s(h) = -13*h**2 + 4*h - 2. Let d be s(-4). Find the common denominator of d/(-40) - (-2)/(-1) and 1 + 4/(64/45).
80
Let k(c) = -6*c**3 - c**2. Let f be k(1). Let o(r) = r**2 + 8*r + 10. Calculate the least common multiple of 4 and o(f).
12
Suppose -2*i + 26 = 5*d - 3*d, 5*d = 25. Let b = -11 + -10. Let f = -13 - b. What is the smallest common multiple of f and i?
8
Find the common denominator of ((-36)/10)/(49/(-70)) and 35/22.
154
Let g = 3 - 213. Let z = -1433 - -11533/8. What is the common denominator of 2/(g/129 - -2) and z?
8
Suppose 3*n = 31 - 7. What is the common denominator of (-2)/n + 785/(-180) and 93/22?
198
Let h be ((-2)/(-88))/((-11)/5113922). Let b = -10570 - h. What is the common denominator of b and -103/22?
22
Let u = -9/50 - 1077/1100. Find the common denominator of 45/22 and u.
44
Let h(d) = d**3 - 4*d**2 + 2. Let v be h(3). Let j = v - -5. What is the common denominator of (-5 - j)*(-23)/(-14) and 99/4?
28
Let g = -4 + 1. Let f(o) = 7*o + 3. Let z be f(g). Find the common denominator of 17/7 and z/((-3)/9*-22).
77
Suppose -4*p + 3*s + 17 = 0, p - 3*p - 4 = -4*s. Calculate the least common multiple of 9 and p.
72
Let n(j) = -j**3 + 2*j**2 + 4*j - 1. Let p = -8 + 10. Suppose -3*d = -5*m + 20, d - 8 = -p*m - 3*d. Calculate the lowest common multiple of n(3) and m.
4
Let c = 24 - 13. Suppose 4*r - 7*r + 5*h = -23, -2*r - h + c = 0. Let v(s) = s + 6. Calculate the lowest common multiple of r and v(0).
6
Find the common denominator of (-18)/45 + (-267)/30 and 393/(-12)*4/(-6).
30
Calculate the common denominator of 68/27 and 99/12 - -2 - 11/(-33).
108
Suppose -v - 3 = -2*v. Suppose 0 = -4*z - 2*o + 20, 3*z + v*o + 1 = 13. What is the lowest common multiple of z and (23 - 3) + (-4)/2?
18
Calculate the common denominator of (3/((-66)/7))/(6/24) and 4/6*43/(-2).
33
Let s = 138 + -78. Let z = s - 26. Suppose b + w - 9 - 1 = 0, 0 = -4*b - w + z. What is the least common multiple of 3 and b?
24
Let o = -10 + 4. Let x = o - -10. What is the least common multiple of 4 and x?
4
Let x = 1144471/202540 + -6/10127. Calculate the common denominator of x and (138/72)/(2/3).
40
Let k(t) = t - 3. Suppose 4*i - 31 = 5*q, -2*i + 4*i + 3*q = 21. Let x = -10 + 17. What is the least common multiple of x and k(i)?
42
Suppose 42 = 7*f - 98. What is the least common multiple of f and 6?
60
What is the least common multiple of 3 and 4*3/6*19?
114
Suppose 5*f - j = 138, 4*f = j + 69 + 41. Let z(q) = -11*q - 1. What is the smallest common multiple of f/(-12)*(-6)/2 and z(-1)?
70
Calculate the least common multiple of (2/(-2) - -4) + 3 and (-2)/(-2) - (-21 + 0).
66
Suppose -5*x - 12 = -87. Suppose -2*y = y - x. Let a(v) = v + 4. What is the least common multiple of y and a(-2)?
10
Suppose 3*l = -9, 5*d = 2*d - 4*l - 48. Let m be 5/(25/d)*-10. Suppose -3 - m = -3*u. What is the lowest common multiple of 8 and u?
72
Let i(m) = 14*m**2 + 3*m - 3. Suppose -3*u + 5*d = -3, 2*u + 0*u + d - 15 = 0. Calculate the least common multiple of i(1) and u.
42
Calculate the common denominator of 115/6 and (10/(-7))/(384/3248).
12
Let y be ((-30)/20)/(60/(-2386)). Let s = 172/5 - y. Find the common denominator of s and 67/20.
20
Let j be 1 + 0 - 5*-2. Let m be (5 + -6)*1*j. Calculate the common denominator of -27/2 and -1 + -1 - 76/m.
22
Calculate the common denominator of ((-6)/75)/(4/115) and 53/8.
40
Let c = -19 + 59. Suppose -a = -3*r + 8, -2*a + c = 5*r + 3*a. What is the least common multiple of r and 3?
12
Let v = 21 - 12. Let f = v + -20. Calculate the common denominator of 18/11 and f.
11
Let t = 2071/609 - 10/87. Calculate the common denominator of 200/(-66)*(-3)/(-2) and t.
77
Let a(s) = s + 2*s**2 + 0 + 0*s**2 + 1 - 7*s. Let r be a(5). Suppose 4*d - r = -5*w - 1, 0 = d. What is the smallest common multiple of w and 4?
4
What is the smallest common multiple of 58/3*3*(-6 - -7) and 22?
638
Let u(n) = -n + 5. Let i be u(3). Suppose -i*t - 7 = -43. What is the least common multiple of t and 12?
36
Let b(m) = -m**2 - 5*m - 2. Let q be b(-3). Let d = -4291/414 + 140/23. Calculate the common denominator of d and ((-1)/q)/(9/(-98)).
18
Let n = 1 + 3. What is the common denominator of (-177)/(-6)*(-1)/n and ((-6)/(-4) + 20/(-6))/1?
24
Let d(a) = -5*a**2 + 2*a - 1. Let t be d(1). Calculate the smallest common multiple of (-1)/t + 15/20 and 4.
4
Let v = 2 + 0. Suppose 0 = -3*b - b - v*h - 76, 3*b + 71 = 2*h. Let o = b + 33. Calculate the lowest common multiple of 10 and o.
60
Let b be (-12182)/48792 + 4/16. Let l = b + 71143/36594. What is the common denominator of l and -47/22?
198
Calculate the smallest common multiple of 0/(-2 + -1) - -8 and 10.
40
Calculate the common denominator of 314/48 + 2/6 and -1 - 1/(-10)*-79.
40
Let m = -8964 + 89543/10. Suppose 5*z = 1 + 9. What is the common denominator of 40/(-28) - (-2 + z) and m?
70
Let p be 10/(-6)*-3 - 1. Calculate the least common multiple of 1 - 2/p*-6 and 18.
36
Let c be (-148)/(-18) + (-6)/27. Let j = 30 - c. Calculate the lowest common multiple of 12 and j.
132
Let y = -190 + 16. Let n = y + 2793/16. What is the common denominator of n and ((-12)/(-50))/((-16)/(-340))?
80
What is the lowest common multiple of (-2)/3*7/(42/(-36)) and 2?
4
Let o be 183/3*821/10. Let s = o + -5018. What is the common denominator of 8/9 and s?
90
Suppose 0*x - 3*x = -15. Suppose -14 = x*s - 4. What is the common denominator of (0 - (-28)/(-18)) + s and 59/3?
9
Let v = -29507/694 - -6/347. What is the common denominator of v and -37/9?
18
Let p = -5841/4 + 1452. Calculate the common denominator of p and -45/41.
164
Let z = 16891/8 - 2116. Calculate the common denominator of -2 + 1 + 471/18 and z.
24
Let k(n) = -n**3 - 4*n**2 + 6*n + 7. Suppose -1 = -y - 0*y - z, -3*z - 1 = 2*y. Suppose -y*q + 2*q = -6. Calculate the least common multiple of q and k(-5).
6
Find the common denominator of 93/20 and 3 - 2/8*116/20.
20
Let c = 2959 - 35459/12. Find the common denominator of c and 89/45.
180
Let j = -25 - -31. Calculate the smallest common multiple of j and 5.
30
Let n(a) = 6*a**2 + 2*a + 1. Calculate the lowest common multiple of n(-1) and 46.
230
What is the common denominator of -2*-1*(-237)/(-36) and -10/9?
18
Suppose -4*n - 190 = n. Let l = n - -57. Calculate the common denominator of 34 and l.
1
Suppose 0 = 3*t + 12, x = 4*x + 2*t - 73. What is the smallest common multiple of 27 and x?
27
Let b(t) = t - 6. Let h be b(3). Let n(v) = 4*v + v**3 + v + 0*v + 2*v**2 + 3*v**2 + 3. What is the smallest common multiple of n(h) and 2?
6
Let z = -4656 - -102469/22. Let u = 461/176 - z. Find the common denominator of u and 93/20.
80
Let w(j) = 5*j - 13. Calculate the least common multiple of w(5) and 62.
372
Let h(n) = n**2 + 2*n - 4. Let y be h(-4). Suppose y*a + 2*s = -1166, 2*a - 2*s = -0*a - 586. Calculate the common denominator of -65/22 and 1/(-3)*a/8.
66
Let i = 107716823/677 - 159109. Let p = i - 80923/8124. What is the common denominator of 119/20 and p?
60
Let t = 56/17 - 159/136. Find the common denominator of -43/10 and t.
40
Let o = 22225/9 + -2473. Let f(z) = z + 7. Let t be f(-5). What is the common denominator of (21/t)/(22/4) and o?
99
What is the common denominator of -70/81 and ((-78)/4 - -2)/((-6)/(-4))?
81
Suppose 4*l - 5*l = -4. Suppose 0*x - l*x + 120 = 0. Suppose x = 2*w + 3*w. What is the smallest common multiple of w and 5?
30
Let v = 13 + -4. Let f(x) = x**2 + 11*x + 13. Let a be f(-10). Let d = -1 + a. What is the smallest common multiple of d and v?
18
Let i = -5 + 14. Calculate the smallest common multiple of i and (-1)/(-10)*86 - 9/15.
72
Let n(c) = c - 5. Let y be n(3). Let h = 1267 - 3833/3. Find the common denominator of y + 105/9 - -1 and h.
3
Let b be