and m.
132
Let m(p) = 13*p - 1. Let a be m(-5). Find the common denominator of (4/6)/(a/(-477)) and ((-76)/20)/(1/(-3)).
55
Let f = -2 - -11. Calculate the least common multiple of f and 27.
27
Let f = -49/170 + 3/34. Let q be (-1)/1 + 0 - 4635. Let n = q - -37017/8. What is the common denominator of n and f?
40
Suppose 0*v - 6*v = -42. What is the least common multiple of 3 and v?
21
Find the common denominator of (-19 - -18)/((-10)/38) and 53/9.
45
Let x = 140211/10 - 13536. Let r = x - 481. Calculate the common denominator of r and ((-54)/7 - -2) + -1.
70
Find the common denominator of -1 - (-30)/16 - 62/(-31) and 17/4.
8
Find the common denominator of 27/56 and 3/5 + (-2)/(160/1148).
56
Let z = -374 - -1443/4. Let k be (4811/382)/((-8)/3). Let s = 41/191 - k. Calculate the common denominator of z and s.
16
Let n = -173514 - -525263/3. Let v = n + -1591. Calculate the common denominator of -35/3 and v.
3
Suppose n = 6*n - 10. Let p = -23 - -27. What is the smallest common multiple of n and p?
4
Suppose q = -q - 6. Let u = 0 - q. Suppose 11 = u*m - 1. Calculate the lowest common multiple of 6 and m.
12
Let b(v) = -13*v - 1. Let z(a) = -a**3 - 5*a**2 + 7*a + 5. Let o be z(-6). Calculate the least common multiple of 6 and b(o).
12
Let q(l) = -4*l. Let y(g) = -5*g. Let p(v) = 7*q(v) - 6*y(v). Calculate the smallest common multiple of 10 and p(3).
30
Suppose 2*v - 5*y + 61 = 5*v, -v = 2*y - 22. What is the least common multiple of 8 and v?
24
Let k(i) = 2*i - 4. Let f be k(5). Calculate the smallest common multiple of (40/f)/(7/21) and 22.
220
Let w(d) = d**3 - 6*d**2 + 7*d - 6. Suppose 0 = -z + 4*m - 20, 5*z + m - 6*m = -25. Calculate the least common multiple of w(5) and (-12)/(z - (-9)/(-12)).
16
Suppose 3 + 0 = 3*t. Suppose -5*j + 5 = -2*n - 3*n, 5*n - 10 = 2*j. Calculate the least common multiple of t and j.
5
Suppose 4*z - 3*o + 10 - 3 = 0, 3*o = 15. Suppose -1 + 17 = z*p. What is the smallest common multiple of 8 and p?
8
Suppose 6 = 3*w + 4*n - 21, 37 = 5*w + 4*n. Suppose 4*x = -w*b + 58 - 15, 0 = -x - 3*b + 9. Let u = 2 + 0. What is the least common multiple of x and u?
12
Find the common denominator of (2/30)/(12/(-1410)) and -29/8.
24
Let t = 1138/7 - 159. Let x = 24185/4 - 13219/2. Let h = -549 - x. Find the common denominator of h and t.
28
Calculate the common denominator of (-77)/14*(-12)/21 and -40/3.
21
Let b(v) = v - 1 + 0 - 3 - 1. Calculate the lowest common multiple of 6 and b(9).
12
Calculate the least common multiple of 24 and 208/130*(0 - (-5)/2).
24
Suppose -2*i + 2*w = -14, 6 = -2*i + 3*i - 2*w. Let k = 14 - 11. Suppose -u + k*y + i = -0*u, -3*y + 77 = 4*u. Calculate the common denominator of 29/2 and u.
2
Calculate the common denominator of ((-111)/(-8) - 0)*(-24)/(-36) and 21/16.
16
Let p(x) = -x**2 - 6*x - 1. Let g be p(-5). Suppose 12 = g*q - 0. Suppose -2*a + a + q = 0. What is the lowest common multiple of a and 2?
6
Let j(x) = -x + 2. Let h be j(-10). Let f = -6 + h. What is the least common multiple of 16 and f?
48
Let o be (114/(-8))/((-3)/(-144)). Let n be 38582/(-56) - 10/35. Let d = n - o. Calculate the common denominator of 13/2 and d.
4
Find the common denominator of 3 + 247/(-36) + 3/12 and 17/27.
54
Let k(z) = -z**2 - 14*z - 9. Let w = -6 - 7. Let y be k(w). Let u = y + -2. Calculate the smallest common multiple of u and 22.
22
Let x(r) = -r - 5. Let z be x(7). Calculate the common denominator of (-801)/(-33)*2/z and 3/(-4)*(-412)/(-30).
110
Let z be 1/4 - (-8631)/(-28). Let k = 6777/22 + z. Calculate the common denominator of k and (-166)/(-12) + (-1)/(-1).
66
Suppose -1 + 3 = -z - 4*y, 2*y + 4 = 0. Let c = -5 - -12. Suppose -2*m + 50 = 5*d - c*m, -5*d = 3*m - 82. What is the smallest common multiple of d and z?
42
Let f = 2505/14 + -1280/7. Calculate the common denominator of f and ((-8)/(-40))/((-44)/730).
154
Let f be 25/10*(1 + 1). Suppose 3*q = 6*q - 3*a, f*a = -5*q + 20. Calculate the common denominator of q/9 - 2661/(-54) and -23/16.
16
Let q(c) = -c**2 - 21*c - 32. Calculate the lowest common multiple of 20 and q(-19).
60
Suppose -3*c = 2*f + 2*c - 6, 2*f + 2*c - 12 = 0. Let y = 12 - -1. Calculate the lowest common multiple of f and y.
104
Let y be (-3)/(-6) - 350/508. Let a = 1795/762 + y. Find the common denominator of 75/4 and a.
12
Suppose 12 = 4*r - 24. Let l be 418/(-18) + (-6)/(-27). Let y = -16 - l. What is the lowest common multiple of r and y?
63
Let r = 14043/1708 - -12/427. What is the common denominator of 5/4 and r?
4
Suppose 7 + 1 = 2*x. Let c = 18 + -12. Calculate the lowest common multiple of x and c.
12
Suppose -4 = -0*z + 2*z. What is the lowest common multiple of 4 and (-5)/(10/(-44)) + z?
20
Calculate the least common multiple of 5 and 2*(14/(-4))/(-1).
35
What is the common denominator of (-49)/(-5)*(-8)/24 and 46/9?
45
Let p = -3087135503093/5340 + 578115255. Let m = -2/1335 - p. Calculate the common denominator of m and -29/2.
4
Let d(a) = -2*a - 12. Let i be d(-8). Suppose j - 5 = 0, i*j - 18 = 5*b - 4*b. Suppose -b = 2*p - 10. What is the smallest common multiple of 3 and p?
12
Let a = -132289/45180 - -84/1255. Calculate the common denominator of a and 20.
36
Let a = -10/1589 + 173501/47670. What is the common denominator of a and 25?
30
Let k = 13 + -13. Suppose 3*m - 11 - 11 = -j, -5*j - 2*m + 45 = k. What is the smallest common multiple of j and 1?
7
Let q = 208516 - 818669/4. Let f = q + -3871. Calculate the common denominator of 13/16 and f.
16
Let x be 1*((-24)/(-4))/3. Suppose 3 = 3*b - 5*s - 10, x*s = -2*b + 14. What is the least common multiple of 12 and b?
12
Suppose -3*g + 444 = -51. Calculate the common denominator of -59/14 and ((-243)/g)/((-2)/(-5)).
154
Let w(c) = -6*c**2 - 7 - 2*c + 0*c - 2*c**3 + c**3 + 6*c. Calculate the least common multiple of 3 and w(-7).
42
Let p = 533 + -202. Let g = -2597/8 + p. Find the common denominator of g and 69/8.
8
Suppose -5*p + 0*w = -3*w - 62847, 0 = -4*w + 4. Let k be p/756 + (-2)/(-1). Let h = -50/63 + k. Calculate the common denominator of h and -33/14.
42
Let r(i) = -i**3 + 6*i**2 - 5*i - 1. Let n be r(5). Let p = -3 + n. Let v = p + 6. What is the smallest common multiple of 10 and v?
10
Let o(r) = -r**2 + 5. Let v be o(0). Let c(b) = 5*b**3 + 8*b**2 - 2*b - 4. Let y be c(v). Let d = y - 1669/2. Calculate the common denominator of d and 67/3.
6
Let i = 9 - 6. Suppose -s + i = -0. Find the common denominator of 1446/180 + 1/(-3) and s.
10
Let s(p) = p**2 + p - 8. Calculate the least common multiple of s(5) and 20.
220
Suppose 2*h - 20 - 12 = -5*j, 0 = 4*j - 4*h - 48. What is the lowest common multiple of 4/6*(23 + -2) and j?
56
Let o be (-1)/(-4)*50790/(-20). Let v = o - -636. Calculate the common denominator of v and 27/10.
40
Calculate the common denominator of -101/94 and ((-9)/4*1)/((-60)/(-248)).
470
Let m be 1/(-6) - (-4539)/18. Suppose -s - s + m = 0. What is the common denominator of (6/(-4))/(15/s) and -31/10?
10
Suppose w - 22 = 3*w - 2*h, -w - 4*h = -14. Let r = -4 - w. What is the smallest common multiple of r and 22?
22
Suppose 41 = 4*f - 3*m + 1, -2*f - m = -20. What is the smallest common multiple of f and 11?
110
Calculate the common denominator of (-72)/(-15) - 1/4 and 58/40 - (-2)/(-4).
20
Let l(o) = o**2 + 9*o + 11. Suppose 8 + 0 = 2*t. Let x = t + -2. Calculate the least common multiple of l(-8) and x.
6
What is the common denominator of 276/(-56)*(0 + -1) and 67/24?
168
Let z = 805/57 - -9194/171. Let d = z - 937/18. Calculate the common denominator of d and -77/6.
6
Suppose 4 = -5*h + 9. Suppose v - 2 = -2*j + h, j + 5*v = -3. Calculate the smallest common multiple of 88/14 - 4/14 and j.
6
Let j be (2 + -1)*(-3 - -2). Find the common denominator of -25/6 and 117/(-60) + j/4.
30
Let y = 9 + -3. What is the smallest common multiple of y and -2 + 2 + (7 - 3)?
12
Suppose 9 = -g + 3*a, -g + 4*a = 16 - 6. Let b be 6*g/(-27)*3. Calculate the common denominator of (b/3)/((-18)/(-69)) and -18/17.
153
Let u = 5327 - 53197/10. Calculate the common denominator of u and 23/25.
50
Calculate the least common multiple of (0 - -10*1)*2 and 2 + 4 + -2 + 16.
20
Let z = -7/78 - 1747/234. Let f be (9/10)/(478/4). Let d = f + -18899/2390. Calculate the common denominator of d and z.
90
Let a = -9/121 - 7085/726