.
18
Let j = 73/6 + -31/3. Calculate the common denominator of j and 37/30.
30
Calculate the common denominator of (-201)/(-6) + (-1 - 0) and (134/10)/(14/(-5)).
14
Suppose -83 + 11 = 2*a. Calculate the common denominator of (a/14)/((-20)/28) and -1*(2 - (51 - -1)).
5
Let p be -6 + -4 + -3*1. Let z = p + 25. What is the smallest common multiple of 2 and z?
12
Let i = 2303129/5747 - 32/821. Let f = -400 + i. Let g = -7503/856 - -15/107. What is the common denominator of g and f?
56
Let x = -7 - -19. What is the smallest common multiple of 14 and x?
84
Find the common denominator of 55/6 and (-228)/(-160) - (-6)/30.
24
Suppose 0 = 3*t + 2*t - 5*x - 20, -2*x - 4 = -t. Suppose k + 2 = t*k - 4*m, -2*k - 3*m + 7 = 0. Calculate the least common multiple of 1 and (4/k)/(-2) - -3.
2
Let h = -23 + 53. What is the common denominator of -37/12 and ((-15)/275)/(4/h)?
132
Let y = 67 + -63. Calculate the least common multiple of 9 and y.
36
Let q be (-3)/(1*6)*-2. Let v(i) = 11*i**3 - i**2 - i + 1. Let y be v(q). Calculate the lowest common multiple of 22 and (-8)/5*y/(-4).
44
Let p = -4/581 - 16833/2324. Let s = -9018/49 - -184. Let n = s + 551/294. What is the common denominator of n and p?
12
Let w(x) = -22*x**3 + 8*x**2 + x. Let a be w(-7). Let o = a + -71452/9. What is the common denominator of 47 and o?
9
Suppose -9*w + 84 = -2*w. Let t = w + 4. Calculate the least common multiple of t and 4 + -1 + -1 + 0.
16
Let f(j) = j**3 - 5*j**2 - 5*j + 3. Let z(b) = 3*b - 1. Suppose 7 = 5*r + 2. Calculate the lowest common multiple of z(r) and f(6).
18
Let g(m) = -m + 8. Let w be g(5). Find the common denominator of 34/(-16)*w/1 and ((-132)/(-45) + -2)*12.
40
Let k = 10 - 8. Suppose k + 2 = t. What is the least common multiple of 8 and t?
8
Calculate the common denominator of -21/20 and (-574)/(-12) + (-2)/6.
20
Suppose -2*s = -4*s + 4. Suppose -h = -3*a + 4 + s, 58 = -3*h - a. Calculate the smallest common multiple of 4 and (h/8)/((-18)/48).
12
Let q(s) = -2*s**3 - 2*s**2 - s - 1. Let n be q(2). Let p = n + 49. What is the least common multiple of 20 and p?
220
Suppose -85 + 1125 = -5*b. Let x = 688/3 - 7093/30. What is the common denominator of (-5)/8*b/44 and x?
110
Suppose -3*j = 2*j. Suppose j*s + 14 = s. What is the least common multiple of 2/(-4)*(-9 + 5) and s?
14
Suppose 3*k = 3*o - 30, 0 = -3*o + o + 8. Let a = -10 - k. Calculate the common denominator of 10/11 and (-22)/a + -5 + 4.
22
Suppose 4*z + z - 90 = 0. What is the smallest common multiple of z and 20?
180
What is the least common multiple of 651/91 + 2/(-13) and 4?
28
What is the common denominator of -2/27 and (-2 - (-142)/30) + (-20)/40?
270
Let k = 43987 - 19217. Let y = k + -545031/22. Find the common denominator of y and -1/14.
154
Suppose 5*q - q = 68. Calculate the lowest common multiple of q and 1.
17
Suppose 0 = -5*j + 5*g, 3*j = -0*j - g + 16. What is the smallest common multiple of 9 and j?
36
Suppose 3*c = -c + 12. What is the least common multiple of 4 and c?
12
Let b(j) = 2*j - 3. Let f be b(4). Suppose 0 = -5*x - u + 21, -f*x = -u + 3*u - 22. Calculate the lowest common multiple of 2 and x.
4
What is the common denominator of 95/8 and (2/5)/((-16)/(-940))?
8
Suppose -3*i + 8 = -85. Find the common denominator of (34/(-8) + 4)*i and 41/7.
28
Suppose 0 = 3*l - 0*l - 6. Suppose 7*r - l*r + 950 = 0. Calculate the common denominator of (3/9)/((-12)/r) and -109/14.
126
Let c(x) be the second derivative of -x**5/20 + 13*x**4/12 + 9*x**2/2 + 6*x. What is the least common multiple of 1 and c(13)?
9
Let x(o) = o**3 - 5*o**2 + o - 3. Let h be x(5). Suppose a + 5*j = 45, 2*a = -0*j - h*j + 90. Let p = 581/30 + -27/10. Find the common denominator of p and a.
3
Suppose -26 = -4*y + 38. Suppose 5*c - y = -4*v + 4*c, -2*v = c - 6. What is the lowest common multiple of 6 and v?
30
Let y = 6 + -2. Let o(h) = -h**2 + 2*h - 6. What is the common denominator of (70/4)/((-3)/4) and o(y)?
3
Let m = -3735 + 37389/10. Let v = -5/943 + -15921/20746. Find the common denominator of v and m.
110
Suppose 29 = -2*d - f, 0 = 2*f + 3*f - 15. Let w = 28 + d. Suppose 0 = 5*q - 68 - 12. Calculate the smallest common multiple of w and q.
48
Let k = 6 + -4. Let r be -6*(1 - (-4)/(-3)). Suppose 6 = r*q + k. What is the least common multiple of 4 and q?
4
Suppose -2*l - 8 = -5*z, -5*l - 4*z + 8*z = -14. Suppose -4*v = -10 - 2. What is the least common multiple of l and (-3)/(-2)*16/v?
24
Let i(n) = -n**2 + 8*n + 4. Calculate the lowest common multiple of 22 and i(4).
220
Suppose -2*y + 20 = -3*j, 0 = y + 2*j - 17. Suppose 20 = 2*p - 2*z, -38 + y = 5*z. What is the lowest common multiple of 5 and p?
5
Let b = 25/144 - 10/9. Let w = 2485 + -34899/14. What is the common denominator of w and b?
112
Calculate the smallest common multiple of 139/2 - 6/(-12) and 20.
140
Let h(p) = -11*p. Suppose -2*x - 3*u + 13 = 0, -u + 3 = -2. What is the lowest common multiple of 6 and h(x)?
66
Let r(f) = 2*f + 14. What is the smallest common multiple of 22 and r(-5)?
44
Suppose -6*h + 18 = -3*h. Let z = -133 - -193. Suppose 3*d + 0*d = z. Calculate the smallest common multiple of d and h.
60
Suppose 1 + 2 = 3*v. What is the common denominator of v/((-22)/(-74)*-1) and -81/4?
44
Let p = -2 + 2. Suppose -k + 5*l + 11 = 0, p = k - 0*l - 2*l - 5. Suppose k = -5*b + 11. What is the lowest common multiple of b and 8?
8
Calculate the common denominator of -29/16 and (-4)/(-18) + (-183)/(-54).
144
What is the smallest common multiple of 9 + (-4 - 0/(-4)) and 11?
55
Suppose 3*t + t + 4 = 0. Calculate the common denominator of -89/14 and ((-7)/308)/(t/(-58)).
154
Let d(i) = -i**3 - 8*i**2 - 5*i. Let j be d(-6). Find the common denominator of -69/2 and (-193)/j + 4/(-6).
14
Let q = -733/30 - -103/5. Find the common denominator of q and -45/14.
42
Let t(k) = 3*k**2 - 5. Let y be t(5). Suppose -4*d + 50 = 3*r, -3*d = 4*r - y - 6. What is the least common multiple of r and 18?
198
Let m(r) = 2*r**2 - 19*r - 22. What is the least common multiple of m(11) and 8?
88
What is the common denominator of (58/72)/((-1)/(-2)) and 2/(-3) - (-266)/(-24)?
36
Let w = 20819/3560 - -12/445. Calculate the common denominator of w and 187/30.
120
Suppose -i = -4*i + 4*r + 150, 2*r = 5*i - 250. Let w(s) = 30*s. Let k be w(1). Let h = i - k. What is the least common multiple of h and 14?
140
Let v = 2 - 0. Suppose -3*t + 3*w + 9 = 0, 5*w - 27 = v*t - 3*t. Let r = 0 + t. Calculate the lowest common multiple of 9 and r.
63
Let m = 1146 - 9147/8. What is the common denominator of -115/6 and m?
24
Suppose 2 = -2*a - 2. Calculate the common denominator of (a/55)/((-7)/(-70)) and 93/10.
110
Let q = -847 + -1015. Calculate the common denominator of (-357)/q - 6/14 and 25/6.
114
Suppose -43 = -5*z + 37. What is the lowest common multiple of -2*(-3)/((-6)/(-26)) and z?
208
Let x be ((-1)/(3/(-12)))/2. Let r be x/(-12) - (-26)/12. What is the common denominator of 47/8 and r/12 + 312/(-54)?
72
Suppose 0 = -7*t + 4*t - 12. Let m = 16 - t. Calculate the common denominator of ((-348)/m)/(16/(-10)) and -51/16.
16
Let x(c) = -14*c. Suppose 3 - 1 = -2*u. What is the least common multiple of (-40)/(-2)*1/2 and x(u)?
70
Let h(z) = 7*z**2 + z + 1. Let u = 31 - 21. What is the lowest common multiple of h(-1) and u?
70
Calculate the common denominator of 21/2 and (2 - 55)*(-4)/(-48).
12
Find the common denominator of 1/(-2)*234/30 and -21/4.
20
Suppose 0 = 3*i + 4 + 44. What is the least common multiple of (i/4)/(-4) + 41 and 18?
126
Calculate the common denominator of (-6)/(-4) + 24/42 and 49/9.
126
What is the smallest common multiple of (-264)/(-26) - 22/143 and 14?
70
Find the common denominator of 55/13 and 3 - ((-414)/(-12) + -4).
26
Suppose -5*v + 33 = 23. What is the smallest common multiple of 9 and v?
18
Let b(t) be the second derivative of -3*t**5/20 + t**4/12 + 2*t. Calculate the least common multiple of (-2 + 3)/((-2)/(-8)) and b(-1).
4
Let i be 55494/(-20) + (-6)/(-30). Let a = -2574 - i. Let o = a + -1436/7. Calculate the common denominator of o and 29/22.
154
Let q = -59/6 + -92/3. What is the common denominator of 32/3 and q?
6
Let p = 58 + -38. Calculate the lowest common multiple of 20 and p.
20
Let w = 9313/11997 + 2/1333. Find the common denominator of w and ((-21)/2)