
21
Let u = 34440 - 73511/2. Let h = -18439/8 - u. What is the common denominator of -113/12 and h?
24
What is the common denominator of (-774)/(-156) + -2*1 and 81/22?
286
Let m be (862/(-10))/(36/310). Let z = -3526/9 - m. Let h = -362 + z. What is the common denominator of h and -81/4?
4
Let b(r) = -r**3 + 10*r**2 + 12*r + 9. What is the smallest common multiple of b(11) and 16?
80
Let q = -22 - -20. What is the lowest common multiple of 2 and 4 + q - (0 + -20)?
22
Suppose -9*f + 4*f = -135. What is the smallest common multiple of f and 18?
54
What is the smallest common multiple of 16 and (12 - 0)/(10/15)?
144
Suppose 0 = 5*c - 3*c - 40. Calculate the lowest common multiple of (-39)/(-2) + 1/2 and 16/c*(-35)/(-2).
140
Let n = 36 + -22. Calculate the least common multiple of n and 30.
210
Let y = 224 - 134. Find the common denominator of -87/14 and ((-3)/(-4))/((-33)/y).
154
Let s = -21 - -30. What is the lowest common multiple of 2 and s?
18
Suppose -2*s - 4*s = -96. Calculate the lowest common multiple of s and 22.
176
Let y(w) = 20*w**2 + w. Calculate the least common multiple of 27 and y(1).
189
Let c be -1 + -24*(-2)/(-3). Let d = c + 23. What is the lowest common multiple of d and 8?
24
Let o = -1252893353/22 + 56962633. Let q = o + -12938. Find the common denominator of q and -103/12.
132
Suppose 15*u = 12*u + 54. What is the smallest common multiple of 12 and u?
36
Let n be (2626820/(-16))/(31527/8). Let d = -7597/226 - n. Let z = -1/93 - d. Calculate the common denominator of z and -69/2.
18
Find the common denominator of 5/(-2)*268/(-120) and 39/10.
60
Suppose -4*v - 3*d + 16 = 0, -2*v + 8 = -0*v - 3*d. Calculate the least common multiple of v and 4 + 1*(-2 + 4).
12
Suppose 0*r + r - 1 = 0. Let l(i) = 3*i + 1. Let u(q) = q**2 + 5*q - 4. What is the smallest common multiple of l(r) and u(-6)?
4
Let v be (-3)/(-3) - (-10 - 1). Let o = 20 - v. Let d = 6 + 10. What is the lowest common multiple of d and o?
16
Let s be (-6 - (0 - -1)) + -1. Calculate the common denominator of (-96)/(-55)*15/6 and 2*s + 1*2.
11
Calculate the common denominator of -1 - 0 - (-11 - -3) and -28/5.
5
Let h = 2980 + -107273/36. What is the common denominator of h and 79/16?
144
Suppose -12 = g - a - 2, -5*g - 54 = -4*a. Calculate the smallest common multiple of 48/28 - 4/g and 14.
14
Suppose 2*h + 6*h - 144 = 0. What is the least common multiple of 3 and h?
18
Let u(b) = -b**3 - 5*b**2 - 5*b - 3. Let k be u(-3). Let z(f) = -f**2 - 8*f - 2. What is the least common multiple of 3 and z(k)?
30
Suppose -5*u = 3*a - 21, -u - 2 + 3 = -a. What is the least common multiple of 10 and u?
30
Let u = -41 - -421/10. Let f(l) = l**3 + 11*l**2 + l - 7. Let v be f(-7). What is the common denominator of u and v/16 + (-2)/8?
40
Suppose 0 = 3*x - 2 + 8, -4*y + 3*x + 70 = 0. What is the least common multiple of y and 14?
112
Suppose -2*d + 3*o - 4 + 12 = 0, -4*d + 16 = 2*o. What is the least common multiple of d and 3?
12
Let j be 39/(-2) - (-4)/(-8). What is the common denominator of (66/j)/((-2)/(-5)) and 7/4?
4
Let u(t) = -t**3 - 4*t**2 - t. Suppose 4*o + 9 = 4*k - 7, -k + 9 = 4*o. What is the least common multiple of k and u(-4)?
20
What is the lowest common multiple of (-2)/11 + (-68)/(-11) and 14?
42
Let b be 2/7 + (-256)/14. Let i be (0 - 1) + (30 - -1). Let k = b + i. What is the smallest common multiple of k and 8?
24
Let z = -896/3 + 2109/7. What is the common denominator of -71/18 and z?
126
What is the common denominator of 103/18 and (-8)/8 - 170/32?
144
Let p = -58 + 64. Calculate the lowest common multiple of 7 and p.
42
Let y = 14 + -21. Let j(t) = -t + 7. What is the lowest common multiple of j(y) and 18?
126
Let c(m) = -m**3 + 7*m**2 + 5*m - 6. Let l be c(6). Suppose -l = 2*g - 7*g. Find the common denominator of 39/44 + 3/g and 43/14.
154
Calculate the smallest common multiple of 8 and -7 - -3 - 1*-10.
24
Let b = -7 - -6. Suppose -40 = -6*f + f. What is the smallest common multiple of f and 1 + (-33)/3*b?
24
Calculate the common denominator of 4 - 332/144*-3 and 11/54.
108
Let p = 12 + -7. Suppose -m = 2*v + 3*v - 15, -p = -m. Suppose -33 = 17*h - 20*h. Calculate the smallest common multiple of h and v.
22
Let n(o) = -14*o - 2. Let d be n(-1). What is the smallest common multiple of 22 and d*((-9)/6)/(-3)?
66
Let f = 18 - 13. Suppose g = f*g - 16. What is the least common multiple of g and 4?
4
What is the common denominator of 9/(-12)*(-4)/66 and 2/4 + 55/44?
44
Let g = -49419/10 + 4937. What is the common denominator of (-16)/28*212/16 and g?
70
Let s = 8 - 16. Let n = -3 - s. Suppose m - 6*m - 2*w = -24, -6 = -4*m + n*w. What is the lowest common multiple of m and 4?
4
Suppose x - 11 + 0 = -3*l, 21 = l - 4*x. Suppose -l*p + 137 = -178. What is the common denominator of 38/3 and (3 - 0)*14/p?
3
Calculate the least common multiple of (28 - -2) + (3 - 0) + 0 and 33.
33
Suppose g + 3 = 5. What is the lowest common multiple of g*21/(-12)*-2 and 11?
77
Let z = 9 + 5. Suppose p = -0*p - 4*l - 4, 2*l + z = p. Calculate the least common multiple of p and 7.
56
Suppose -r - 3*k + 4 = 14, 0 = r + 4*k + 15. Suppose c - 8 = r*c. What is the common denominator of 47/8 and (110/4)/(7/c)?
56
Let c = -119/27 + 2/27. Let u = c - -35/9. Find the common denominator of 28 and u.
9
Let v = 4 - -1. Suppose -3*m = 5*n + 5, -m - 2*n - 5 = -3. Suppose m = 4*i + v*q - 0*q - 47, 4*i - 67 = -q. Calculate the smallest common multiple of i and 2.
18
Let m = -288602037308968/49006457589375 + -2/2817920625. Let a = 1/5797 + m. Find the common denominator of a and 1/3.
9
Suppose 2*k = 2 + 10. Calculate the smallest common multiple of k and 12.
12
Suppose -j = 4*j - 10. Suppose -36 = -j*q - q. Calculate the smallest common multiple of 20 and q.
60
Let a = -2144 - -40759/19. Let p = 631136/109953 - 119/1929. Let m = a + p. Find the common denominator of m and 39/5.
45
Let h(c) = -11*c - 13. Let x be h(6). Let l = x + 867/11. What is the common denominator of -58/9 and l?
99
Suppose -798 = 3*k - 2*k. Let x = 12759/16 + k. What is the common denominator of 61/22 and x?
176
Calculate the lowest common multiple of 8 and ((-6)/5)/((-38)/285).
72
Let o be (-2 - 7) + 3/(-1). What is the least common multiple of 2 and (o/9)/((-2)/3)?
2
Let v = 1/5935 - 332417/338295. Calculate the common denominator of -45 and v.
57
Let r = 1/4844 - -191329/43596. Let f(y) = -y**3 + y**2 - y - 12. Let q be f(0). Calculate the common denominator of (0 + 2)*97/q and r.
18
Calculate the common denominator of 181/30 and 47/5 - 21/(-35).
30
Let j(t) = 21*t**2 - 1. What is the smallest common multiple of 4 and j(-1)?
20
What is the common denominator of 39 and 3 - 284/12 - (4 + -1)?
3
Let n(p) = -2*p**2 - 6*p + 6*p + 4*p**2. What is the smallest common multiple of 9 and n(2)?
72
Let p = -3 + 3. Suppose 4*j = 5*k - 130, -2*k + p*j = 4*j - 24. Suppose 3*q - 51 - 9 = 0. Calculate the least common multiple of k and q.
220
Suppose -18 = -2*i - 3*g, 3 = -2*i + 3*g + 9. Suppose 10 - 46 = -4*t. What is the lowest common multiple of t and i?
18
Let v be 8/(2/1) + 0. Find the common denominator of 137/6 and ((-2)/v)/(8/10).
24
Let r(t) = 17*t - 3. Let z be r(3). Let w = -29609/10 - -2958. Find the common denominator of 5*(-3)/(z/10) and w.
40
Suppose -5*h - 9 = -4. Let w = h - -3. What is the lowest common multiple of 14 and w?
14
Let w = 15 + -10. Suppose 0 = -w*m + 41 + 49. What is the smallest common multiple of 22 and m?
198
Calculate the lowest common multiple of 18 and -1*(-10)/15*3.
18
Let h(o) = o**2 - o + 9. Let j be h(0). Suppose -x + j = -0*x. Calculate the lowest common multiple of (-4)/14 + 23/7 and x.
9
Let y = 5094549304/3 - 157014009322873/92460. Let o = -2/1541 - y. Calculate the common denominator of o and 133/12.
60
Find the common denominator of (-5)/(-3)*234/40 and -21/32.
32
Let k = -8 - -15. Let m(f) = 3*f + 4. Let a be m(-3). Let r = a + k. What is the least common multiple of r and 7?
14
Let x(g) = -g**3 + 12*g**2 + 2*g - 2. What is the smallest common multiple of (-47)/(-4) - (-2)/8 and x(12)?
132
Suppose 16 = 5*b - 24. Calculate the least common multiple of 7 and b.
56
Let k be (-1)/((-18798)/8)*-76155. Let o = k + 265342925/7368816. Let i = 13/147 + o. What is the common denominator of i and 37/2?
16