04. Let c = x + m. Calculate the common denominator of -95/2 and c.
2
Let h be (-5)/5*22/2. Let u = h + 33. What is the lowest common multiple of 14 and u?
154
Let u(w) = w + 1. Let c be u(0). Calculate the smallest common multiple of 7 and 15/10 + c/(-2).
7
Let v = -21559/16 - -2699/2. Calculate the common denominator of -11/2 and v.
16
Let c = 16 + -10. Let l be 2/7 + 26/7. Calculate the smallest common multiple of (l/2)/(1/5) and c.
30
Let n = -15023/9584 + 3/599. Let s = 6/149 + -2867/894. Find the common denominator of s and n.
48
Let c = -10 - -21. What is the least common multiple of 8 and c?
88
Let m = 114129 - 801006/7. Let s = -301 - m. Find the common denominator of -12/7 and s.
7
Let q(y) = 85*y - 2. Let n be q(2). What is the common denominator of 111/2*4/9 and 2/7 - (-981)/n?
24
Let d = 35 + -3. Calculate the smallest common multiple of d and 20.
160
Let c = -4757/2960 - -421/148. What is the common denominator of c and 46/9?
720
Calculate the common denominator of (-1670)/(-1230) + 2/(-6) and 5/8.
328
Calculate the common denominator of -83/28 and -4*(-3)/48 - (-254)/56.
28
Let y(m) = 21*m + 5. Let u be y(-4). Let h = -27 - u. Let z = h + -361/7. Find the common denominator of z and -33/7.
7
Suppose 0 = -5*s + 4*s - 35. Let l(z) = z**2 - 22*z + 23. Calculate the common denominator of l(23) and 4/6 - s/(-2).
6
Let f = 5 - 2. Suppose 5*l + 0 = -z + 2, f*l = z - 2. Suppose l*g + g = 9. What is the lowest common multiple of g and 4?
36
Suppose -d = -0*d. Suppose -z + 0 + 7 = d. Calculate the lowest common multiple of z and (-4)/(-16) - 54/(-8).
7
Let f(c) = 7*c - 2. Let r be f(1). Let o = 8 - r. What is the smallest common multiple of o and 5?
15
Let b = -15 + 23. Suppose b = -2*p, -5*w + 2*p = -22 - 36. Let x = -25 - -36. What is the least common multiple of x and w?
110
Let i = 39 - 4. Suppose k = -4*k + i. Calculate the least common multiple of k and 7.
7
Let z = 3013/2 + -1546. Let x = -4497/10 - -449. Find the common denominator of z and x.
10
Suppose -4*j - 16 + 104 = 0. What is the common denominator of (-67)/(-12) - (-1)/(-1) and 7/j + 2 + -3?
132
Let l be (-1 - -2)*(4 + 1). Let h = l + 0. Suppose -5*y + 2*n = -44, 0*n + 6 = 2*y + h*n. Calculate the least common multiple of 20 and y.
40
Suppose -2*k + 166 + 18 = 0. Suppose -4*x + 4*w + k = 0, -x + 6*w + 24 = 4*w. Let d = -6 + x. Calculate the lowest common multiple of d and 8.
16
Calculate the common denominator of (-4)/18 + (-9)/81 and -28/3.
3
Calculate the common denominator of -145/6 and (-8)/(-60)*129/(-8).
60
Let g = -6 + 16. What is the lowest common multiple of 6 and g?
30
Suppose 4*l - j + 1369 = 0, 0 = -3*l - 0*j - 3*j - 1023. Let n = 4251 - 68109/16. What is the common denominator of n and (l/(-160))/(12/16)?
80
Let c = -55703/8 + 6973. What is the common denominator of 13/6 and c?
24
Let y = -69/2 - -39. What is the common denominator of y and 91/10?
10
Let y = 702 - 13342/19. Calculate the common denominator of -46/11 and y.
209
Let w(t) = t**3 + 16*t**2 - 18*t - 10. Calculate the least common multiple of w(-17) and 13.
91
Let q = 1368 + -4153/3. Let h = q + -13/6. What is the common denominator of -11/10 and h?
10
Let s = 6 - 4. Let c be ((-27)/15)/(s/71). Let u = -63 - c. Find the common denominator of -31/3 and u.
30
Let b(v) = v**2 + v - 10. What is the least common multiple of b(-7) and 2?
32
Suppose -l + 5*b + 7 = 0, 2*l + 5*b - 3 = -19. Let c(y) = -7*y - 9. What is the lowest common multiple of 30 and c(l)?
60
Let t = 15/120361 + 6853234769/1685054. Let p = t + -4065. Calculate the common denominator of -3/8 and p.
56
What is the common denominator of 71/9 and (16/(-10))/((-21)/15)?
63
Calculate the least common multiple of (54/(-24))/(12/(-32)) and 20.
60
Let j(i) = -i**2 + 6*i - 4. Let y be j(6). What is the common denominator of (226/16)/(6/y) and -131/6?
12
Let m be ((-56)/1519)/((-2)/(-29)). Let n = m - 22201/4340. Calculate the common denominator of ((-2)/80)/1*-6 and n.
20
What is the least common multiple of 4/(-8)*0 - -3 and 1?
3
Suppose 0 = -3*b + 2*b - 8. Suppose 0 = -3*p - 2*m + 99, 0 = -5*p + 4*m - 9*m + 165. Find the common denominator of p and (14/24)/((-3)/b).
9
Suppose 0 = 3*z + 9 + 30. Let h = 16 + z. Calculate the smallest common multiple of h and 7.
21
Calculate the common denominator of 53/16 and ((-17)/(-5) + 0)*(-10)/3.
48
Let y be 1/(-2) + (-17163)/20. Let p = y + 861. Let a = 1337 + -2735/2. Find the common denominator of a and p.
20
Let x = -3/242 + -782/363. What is the common denominator of -11/9 and x?
18
Let b = -216044/15 + 14397. Let q = -1753/30 - -407/6. What is the common denominator of b and q?
15
Let m(l) = -8*l - 6. Let s be m(-7). Calculate the common denominator of 83/20 and (-1)/s*1665/6.
20
Let h be (-80)/(-3)*20/(-6). Let w = -541/6 - h. What is the common denominator of w and 11/18?
18
Let d = -1137 - -6865/6. Find the common denominator of d and 133/12.
12
What is the common denominator of -101/44 and 12/(-198)*(0 - 51/4)?
44
Suppose o = 8 - 10. Find the common denominator of 91/(-49) + 0/o and 47/9.
63
Let g = -12 - -13. Suppose -3*p - h + g = 0, h - 6*h = 5*p + 5. What is the smallest common multiple of 10 and p?
10
Let b = -4539/8 - -559. Calculate the common denominator of b and 17/18.
72
Let c(f) = -f**2 - 5*f + 5. Let j be c(-5). Let m(y) = 1 + 3*y + 5*y - y**2 - y. What is the lowest common multiple of m(j) and 2?
22
Let p(y) = y + 2. Let u be p(-2). Let v = 4 - u. Let k = -1 + v. Calculate the smallest common multiple of 4 and k.
12
Let x(d) = 3*d**3 - d**2 + 2*d - 1. What is the smallest common multiple of x(1) and 3?
3
Let k(q) = 2*q**2 - 5*q - 4. Let g(p) be the second derivative of -p**5/20 - 7*p**4/12 - 7*p**3/6 + p. What is the lowest common multiple of g(-6) and k(4)?
24
Suppose 258 = 5*d + 183. Calculate the lowest common multiple of d and 63.
315
Suppose 0 = -4*g + 4*z + 80, 3*z - 17 = 5*g - 125. Calculate the smallest common multiple of 6 and g.
24
Suppose -4*q - 2*t + 3 = -3, -q + 5*t - 4 = 0. What is the least common multiple of q and 3/2 - 2/4?
1
Let n(k) = k**2 - 2*k + 1. Let p(q) be the first derivative of q**3/3 + q**2/2 + 3*q - 2. Let v be p(0). Calculate the least common multiple of 11 and n(v).
44
Let n(o) = o**2 - 2*o + 1. Let b be n(1). Suppose 2*q + 5 = 3*q. Let l = q - b. What is the smallest common multiple of l and 6?
30
Let s = 1303 + -15721/12. Calculate the common denominator of s and 121/18.
36
Let z = 2/563 + -793/381714. Let j = z + 5254/339. Let v = -391 - -2375/6. Find the common denominator of v and j.
6
Suppose -2*x - 3*x = 5. Calculate the common denominator of 307/12 + x/4 and 0 - (570/4)/(-5).
6
Suppose -y - 5 = 5*r, 2*r + r = 5*y - 31. Let a = 12 - y. Calculate the smallest common multiple of ((-18)/4 + 4)/((-2)/36) and a.
63
Suppose -t = -0*t - 5. Suppose 2*s = t*s. Suppose s*m + 18 = m. What is the lowest common multiple of m and 20?
180
Let h(f) = -19*f + 3. Let o be h(2). Calculate the common denominator of -1 + 1 - (-70)/9 and 7/28 + o/(-8).
72
Find the common denominator of (-100)/18 - (5 - 4) and 2/4*(-46)/(-4).
36
Suppose -5*i = -3*i - 36. What is the smallest common multiple of 2 and i?
18
Let o(c) = -2*c + 16 + 2 + c. Let v be o(10). Let i = v - 0. What is the lowest common multiple of i and 6?
24
Calculate the common denominator of (-30)/27*22/8 and 67/20.
180
Let o = 61704491 + -12217605799/198. Let n = -5284/9 - o. Find the common denominator of n and 127/18.
198
Let z = -9 + 12. Suppose -7 = -l - z. Calculate the smallest common multiple of l and 4.
4
Let c(f) be the third derivative of f**5/60 - f**4/3 + f**3/3 + 2*f**2. What is the smallest common multiple of c(8) and 6?
6
Suppose -m - 2 = 3*t, -2*m + 4*m + 2*t = 0. Let s be (-2 - -15) + (m - 0). Calculate the common denominator of 59/8 and 105/s - (0 - 3).
8
Let f(m) = -9*m**3 - m**2 - 3*m - 2. Let k be f(-2). Suppose 7*l - k = 3*l. What is the smallest common multiple of 22 and l?
198
Find the common denominator of -113/50 and (-62)/44 + 2*(2 - 0).
550
What is the lowest common multiple of 196/21*12/7 and 14?
112
Suppose -83 + 41 = -3*w. Suppose 2*u = 7*u + 60. Calculate the least common multiple of w and (u/3)/(4/(-14)).
14
Let h = -68/9 - -335/36. Suppose 0*k - 123 = -3*k. Let n = k - 5. Fi