. Calculate the lowest common multiple of 6 and d.
42
Let q = -5 - -8. Let s = q - -2. Suppose s*f + 2*z = -2*z + 47, z - 20 = -2*f. What is the smallest common multiple of 9 and f?
99
Suppose -3*z - 3 = 0, -n - 4*n + 26581 = -z. Let h = 53103/10 - n. Calculate the common denominator of h and 33*(-1 + 1/2).
10
Let z(v) = -v**3 - 5*v**2 + 4*v - 8. Let g be z(-6). Let u = -2 + g. Calculate the least common multiple of u and 22.
22
Let s = -4893 - -78313/16. Calculate the common denominator of -47/42 and s.
336
Suppose -5*i + 12 = -u, u + 15 = 4*u + 2*i. Suppose 0 = u*m + 2*j, -5*m + 3*j + 22 = -j. What is the least common multiple of 4 - (0 + 2/4*2) and m?
6
Let k(y) = 2*y + 1. Let w be 2 - (-72)/(-5 + 2). Let q = -16 - w. Calculate the smallest common multiple of k(3) and q.
42
Let u(z) = z + 4. Calculate the smallest common multiple of 2 and u(4).
8
Let b = -4261/5 - -848. Let g = -589/70 - -37/10. What is the common denominator of g and b?
35
Let v be (-65254)/44 - (-3 - -1). Let b = -1480 - v. What is the common denominator of -11/20 and b?
220
Let z(x) = x + 3. Let y be z(-3). Suppose y = -2*j + 2 + 2. What is the least common multiple of 4 and j?
4
Let z(u) = u**3 - 11*u**2 - 10*u + 11. Calculate the lowest common multiple of 30 and z(12).
210
Let t be -11 - 0 - (-11 - -10). What is the common denominator of -7/12 and 375/12*(-1)/t?
24
Let m = -3580/7 + 516. What is the common denominator of m and ((-3)/20)/(15/(-610))?
70
Let p be (-14)/(-3) + 4/12. Suppose p*a - 51 = 2*l, -a - 2*l = -14 - 1. Calculate the smallest common multiple of 2 and a.
22
What is the lowest common multiple of 11 and ((-1)/(-3))/((-7)/(-147))?
77
Suppose -7*u = 4*u - 99. What is the smallest common multiple of 17 and u?
153
What is the common denominator of -5 - -2 - 37/5 - 1 and -23/4?
20
Let b(f) = -f**3 + f**2 - f + 6. Let w be b(0). Suppose t + 5 = -w. Find the common denominator of -99/14 and (-1)/((-36)/3)*t.
84
Suppose 3*s = 8 + 7. Suppose s*t - 3*t - 12 = 0. Calculate the common denominator of -25/2 and (t/16)/(36/272).
6
Let u = 3675 + -14609/4. Let s = -1883207/717 - -7879/3. Let z = s + -9379/2390. Calculate the common denominator of z and u.
20
Let o(g) = g**2 + 3*g + 6. Let s be o(-6). Suppose 4*d = 2*h - s, 2*h = -3*d + d + 24. What is the least common multiple of h and 6?
12
Suppose -13 = -k - 4*m, -3*k = 2*k - 5*m - 90. Suppose -5*q + 2*v + 45 = 0, -3*v + 2*v = -2*q + k. Calculate the lowest common multiple of q and 1.
11
Let b(g) = -g**2 + g + 7. Let q = 6 + -3. Suppose -q*d - 4*a = -24, 2*a - 24 = -0*d - 3*d. Calculate the smallest common multiple of b(0) and d.
56
What is the common denominator of -3*1 + 1575/108 and 75/14?
84
Let k = -25 - -39. What is the smallest common multiple of 22 and k?
154
Let b be -1*1*(-9 - -10). What is the common denominator of b - -1*2/(-36) and -20/11?
198
Suppose -2*r = -5*r + 4*u, 3*u = -4*r. Let p = r + 2. What is the common denominator of 71/3 and p/11 + 9848/528?
6
Let d(b) = b**2 - 11*b - 8. Let v be d(12). Suppose -16 = -v*z, 0 = 2*k - 0*z - 4*z - 20. What is the lowest common multiple of 20 and k?
180
What is the common denominator of -4 + -1 + (-125)/(-60) and -79/18?
36
Let i = 134031/10 - 13391. Let y = 23 - 8. Calculate the common denominator of i and 2 + y*(-2)/4.
10
Let q = -3893 + 1415. Let h = 19783/8 + q. Calculate the common denominator of h and -21/2.
8
Let n = -76732811/20 - -3834837. Let b = n + 1800. Let d = -99241/20 - -4957. What is the common denominator of b and d?
20
Suppose 4*z - 19 = -3. What is the lowest common multiple of z and 5?
20
Let x = 105 + -85. Calculate the smallest common multiple of 6 and x.
60
Let n = -1768/315 + -38/315. What is the common denominator of 41/10 and n?
30
Let b = 3307/18 + -187. Find the common denominator of -131/6 and b.
18
Suppose 0 = 4*s - 2*s + 4, 4*x = -3*s + 26. Suppose 10 = 2*k + 3*k. Suppose 0 = 4*n - o, -o + k + 1 = -n. Calculate the least common multiple of x and n.
8
Suppose 19 = 5*i - 81. Calculate the smallest common multiple of i and 14.
140
Let y be (-2)/((15/(-6))/5). Let w be -2*1/2 + -1. What is the lowest common multiple of 4 and (y/6)/(w/(-30))?
20
Let w = -19 - -49. What is the smallest common multiple of 3 and w?
30
Suppose 1754 = t + 4*o + 353, 0 = 5*t - o - 7047. Let a = t - 8549/6. Calculate the common denominator of 26/9*15/(-10) and a.
6
Calculate the common denominator of -113/18 and 0 + 2 + -2 + 50/(-12).
18
Let z = 2 + 3. Suppose -14 = 4*g + z*s, 0 = 2*g - 2*s - 2. What is the common denominator of 7*(30/22 + g) and 29/5?
55
Let f be 5/(420/193563) - 0. Let o = f + -2305. Let r = o + 10/7. What is the common denominator of r and 31/3?
12
Let p = 713 - 507. Suppose 5*z - 4*q = p, 5*q + 84 = -3*z + 215. What is the common denominator of 121/10 and (-1418)/(-308) - 12/z?
110
Let g = 4 + 1. Suppose 0*x = 4*x + 4*t - 68, 81 = g*x + t. Calculate the lowest common multiple of 26 and x.
208
Calculate the common denominator of (-1710)/(-144) - (-2)/(-8) and 65/18.
72
What is the least common multiple of 22 and (-29)/(-2) + (-6)/12?
154
Let r be (-3 - (1 + 1))/(-1). Suppose 2*j - y - 22 - 15 = 0, 0 = 3*j + r*y - 62. Suppose 0 = -4*p + 17 + j. Calculate the lowest common multiple of 8 and p.
72
What is the smallest common multiple of 39 and (4 - (-3 - 14))/1?
273
Let j = -824957/32 - -25782. What is the common denominator of 101/12 and j?
96
Let l be 22/1*(1 + -7). What is the common denominator of (4/10)/(l/(-1245)) and 71/8?
88
Let t = 6 - 3. Suppose -2*c + 6*c + 4 = -2*j, 0 = -t*c - 2*j - 5. Calculate the smallest common multiple of 11 and c.
11
Suppose -3*i + a = -0*a - 11, -3*a = 2*i - 11. Calculate the lowest common multiple of 16 and 6/i*64/6.
16
Let n be (-692827)/104755 + 10/25. Let q = n + -3/5986. Calculate the common denominator of -2 - (-4)/(96/34) and q.
84
Let v = 63 + -57. Calculate the smallest common multiple of 2 and v.
6
Let w = 6 + 14. Let s = 36 - 18. Calculate the lowest common multiple of (-19 - 1)*(-16)/w and s.
144
Let z(p) = p**3 + 9*p**2 - 3*p - 16. Let f(t) = 2*t**3 - 2*t**2 - t - 2. What is the lowest common multiple of f(2) and z(-9)?
44
Calculate the common denominator of 16/3*(-18)/84 and -38/9.
63
Let g = 17489 - 297165/17. Let h = g - 2399/340. Calculate the common denominator of 139/18 and h.
180
Suppose -2*j - 18 = -d, -j = -3*d - 6*j + 32. What is the least common multiple of d and ((108/(-63))/2)/(3/(-28))?
56
Let g = -26 - -43. What is the lowest common multiple of g and 1?
17
What is the common denominator of 49/10 and (-5)/(-6)*(-168)/160?
40
Let p(d) = -d + 14. What is the least common multiple of p(0) and (-1 + 2 - 0) + -35 + 44?
70
What is the smallest common multiple of 378/36 - (14/(-4) - -2) and 20?
60
Let n = 8 - -10. Calculate the least common multiple of 6 and n.
18
Let g = 21 - 18. Suppose -2*s = b - 8, -s + 0*b = g*b - 4. Calculate the smallest common multiple of s and ((-8)/(-10))/(4/10).
4
Let r = -248 - -473. Let b be (36/14)/((-2)/14). What is the common denominator of (5/b)/((-6)/r) and -23/16?
48
Let m = 665/8 - 191/2. Find the common denominator of 43/2 and m.
8
Suppose 0*g - 5*g + 30 = 0. Calculate the smallest common multiple of 20 and g.
60
Let v = -20 + -1. What is the common denominator of -111/22 and (-2)/6 + v/(-36)?
44
Let l = 5 - 0. What is the least common multiple of 4 and l?
20
Let i = -127/6 + 14/3. Let t = -29/28 + 16/7. Calculate the common denominator of t and i.
4
Find the common denominator of -11/16 and (135/40)/(3 - 69/12).
176
Let z = -44 + 62. Calculate the lowest common multiple of z and 6.
18
Suppose x - 2 = 1, 5*z = -5*x + 35. Suppose -2*v - 1 = -t, 2*t = -3*v - 17 - 2. Let b(p) = p**2 + 4*p + 4. Calculate the lowest common multiple of z and b(t).
36
Let q = -116 - -4. Let c = -8225 + 49223/6. What is the common denominator of c and (-2)/14 + q/(-441)?
18
Suppose 4*k - 24 = 4. Suppose 3*i = 3*n - 24, -2*n - 5*i - 22 = -n. What is the least common multiple of k and n?
21
Let a = -5897/210 - -428/21. What is the common denominator of 67/8 and a?
40
Let j(p) = 10*p**2 - 1. Let u be j(-1). Let i = u - -3. Calculate the lowest common multiple of i and 8.
24
Let x = -674/11 + 2732/55. Calculate the common denominator of x and 21/10.
10
Let b(z) = -220*z**