y + y. Let f = y - -33254/9. Find the common denominator of f and 51/2.
18
Let y(d) = -d + 1. Let l be y(2). Let j = -2 - l. Calculate the smallest common multiple of 11 and -2 - j - 11/(-1).
110
Let p = -2092/119 - -158/17. Calculate the common denominator of -17/6 and p.
42
Let y(m) = -167*m**3 + m**2 - m + 1. Let i be y(1). Let u = -4828 - -96579/20. What is the common denominator of i/(-140) + 2/(-7) and u?
20
What is the common denominator of 49/4 - (-5)/15 and -40/21?
84
Let k be (3 + -3)*1/2. Suppose k = 4*i - h + 15, 5*i = 4*h - 2*h - 21. What is the common denominator of -37/6 and (-62)/(-4)*i/(-4)?
24
What is the least common multiple of ((-5)/2)/(0 + (-4)/8) and 5?
5
Suppose -5 = -2*b + 3. Let h(r) = r**2 - 7*r - 3. Let n be h(7). Let z(q) = -q**2 - 5*q - 2. What is the lowest common multiple of b and z(n)?
4
Suppose 3*g - 13 = 50. What is the smallest common multiple of (-12)/g + 46/7 and (-2)/3 + 248/12?
60
What is the common denominator of (-43)/4 + 1 + 1 + 1 and -35/9?
36
Let c = -106 + 457/4. Find the common denominator of 2/9 and c.
36
Let t be 1*-71 - (-1 + 0). Let j be (1099/t)/(0 + -1). Let s = -66/5 + j. Calculate the common denominator of s and 121/18.
18
What is the common denominator of -115/6 and 36/(-10) + 4 - (-559)/(-160)?
96
Find the common denominator of 127/12 and 2/12*(-70)/15.
36
Let s(g) = -g**3 + 8*g**2 - 10*g - 1. What is the smallest common multiple of 16 and s(5)?
48
Let o = 7 + 33. Suppose -w - o = -6*w. Calculate the smallest common multiple of w and 4.
8
Calculate the common denominator of (-755)/(-4)*(-16)/120 and -5/54.
54
Let y = 676 + -10745/16. Calculate the common denominator of y and 54/(-4) - (-1 - 0).
16
Suppose -6*o = 4 - 28. Calculate the smallest common multiple of 22 and o.
44
Suppose 6*q - q - 4*i = 14, 2*q - 2 = -2*i. Suppose 6*m = 2*m + 8. Calculate the smallest common multiple of q and (3/m)/(9/132).
22
Suppose -i = -8 - 0. Let r = -7 + 0. Let g(j) = j**3 + 6*j**2 - 8*j - 4. Calculate the lowest common multiple of g(r) and i.
24
Suppose t - 2*f = 0, -3*f - 8 = f. Let n be 2/(-4)*(-6 + t). Calculate the common denominator of -58/9 and ((-15)/18)/n*65.
18
Let a be ((-6)/(-8))/((-2)/24). Let j = a - -13. What is the smallest common multiple of j and 1?
4
What is the lowest common multiple of 30 and -1*36/8*-2?
90
Calculate the least common multiple of (-32)/(-10)*(6 - 1) and 26.
208
Let o = -5050 - -75704/15. Find the common denominator of 22/9 and o.
45
Let v = -5326/5 - -282408/265. What is the common denominator of -9/5 and v?
265
Suppose 0 = 3*c - 5*c + 6. Suppose r + c*r = 44. Calculate the lowest common multiple of r and 1.
11
Suppose 8*u - 15 = 65. What is the least common multiple of 7 and u?
70
Suppose n + 2*z - 66 = 0, -60 = -2*n - 5*z + 70. Calculate the lowest common multiple of n and 2.
70
Let q = -1348 + 12077/9. Calculate the common denominator of -54/19 and q.
171
Find the common denominator of ((-9)/4 - -2)/((-8)/404) and ((-114)/16)/(5/4).
40
Let b = 7 + -5. Calculate the common denominator of -63/4 and (-334)/288 - b/(-9).
16
Suppose q + 2*l - 17 = -l, 3*l = 4*q - 83. Let k(u) = u**3 - 14*u**2 - 13*u - 10. Calculate the smallest common multiple of q and k(15).
20
Calculate the least common multiple of (2 - 0)/2 + (-84)/(-4) and 42.
462
Let n = -323012 + 16795031/52. Let m = -161/13 - n. What is the common denominator of m and 44/9?
36
Suppose 1128 = -t - 3*t. Let h = 3109/11 + t. Calculate the common denominator of 30/7 and h.
77
Let k(u) = -u**2 + 9*u - 3. Let q be k(8). Suppose 7*x + 3*t - 38 = 3*x, -3*t = q*x - 49. Calculate the least common multiple of x and (-2)/5*5*-1.
22
Let o = -8206 - -131365/16. Let l = 143/5 - 45/2. Calculate the common denominator of o and l.
80
Let j(b) be the first derivative of -b**3/3 - 3*b**2 - 5*b - 1. Let v be j(-5). Let y = v - -4. What is the lowest common multiple of 10 and y?
20
Suppose 5*j = 2*r + 23, -3*j + 29 = -5*r - 0. Let k = -37 + 41. Calculate the smallest common multiple of k and (-12)/(-1) + (-2 - r).
28
Let g = 420 - 803/2. Calculate the common denominator of 19/11 and g.
22
Let x(l) = l**2 + l - 1. Let a(k) = 5*k - 3. What is the smallest common multiple of x(-3) and a(3)?
60
Let d = -15 - -37. What is the lowest common multiple of d and (-2 - -2) + (3 - -1)?
44
Let f = -10 + 5. Let o be (-210)/(-12) - 1/2. Let n = o + f. Calculate the lowest common multiple of n and 14.
84
Suppose 4*a - 13 = -5*g, 3*a + g - 7 = -0*g. What is the least common multiple of 18 and (-1)/(a*(-3)/108)?
18
Let p = 653737/24 - 27233. Find the common denominator of p and -59/3.
24
Suppose 5*q - k = 96, 4*q - 5*k - 93 = -12. Let l = 2028 + -22292/11. Calculate the common denominator of l and q.
11
Let m = -2689 - -1451. Let a = m + 3751/3. Find the common denominator of -65/9 and a.
9
Let s(d) = -d**3 + 6*d**2 - 4*d - 2. Let b be s(5). Let x = 5 - 3. Calculate the smallest common multiple of (-40)/b*(-3)/x and 12.
60
Suppose 0 = -2*m - 97730 - 19558. Let t be (6/(-56))/(9/m). Let z = t + -701. Calculate the common denominator of z and 57/4.
28
Let a = 13/361 - 25709/2166. Find the common denominator of a and (-2)/(-10)*(-183)/12.
60
Let w = 12 - 8. Suppose -m = -2*f, -2 = w*f + 4*m - 26. Suppose t = -f - 2, 4*d + 2*t = 32. What is the smallest common multiple of d and 9?
90
Let d = 194/3 - 11060/171. Let y = -8725/342 - d. What is the common denominator of 19/2 and y?
2
What is the common denominator of ((-2)/(-48))/((-2)/(-140)) and -2 + (-724)/(-80) + -4?
60
Suppose 11 + 0 = v. Suppose 6 = -3*n + 3*l, -n - 3*l + 16 = n. Suppose -2*i + 8 = n*i. Calculate the least common multiple of i and v.
22
Let j = 4 - 1. Suppose w - 3*r = -1, 0 = j*w + r - 2 - 15. Suppose -3*c = 3*u - 15, -2*u - 7 = w*c - 5*u. Calculate the lowest common multiple of c and 7.
7
Let a = -290620/9 - -699623/18. Let b = a - 6596. What is the common denominator of b and -46/7?
42
Let w = 577 - 4601/8. Let j be -105114*(-1 - (-93)/96). Let z = 3288 - j. What is the common denominator of w and z?
16
Let p(i) = 4*i. Calculate the smallest common multiple of p(2) and (-1 + 3)*3/6.
8
Suppose -m = -5*m + 104. What is the common denominator of ((-14)/10)/(13/m) and -29/3?
15
Suppose 5*s + 0*s + 15 = -5*n, 4*n = -s. What is the least common multiple of (-1)/(-3) + (154/(-6))/(-7) and n?
4
What is the common denominator of ((-92)/18)/2 - 6/(-4) and 27/20?
180
Suppose 5*m = -0*m - 40. Let i = m + 12. Calculate the least common multiple of i and 3.
12
Let o(t) be the third derivative of -t**4/24 + t**3/3 - 5*t**2. Calculate the smallest common multiple of o(-6) and 1.
8
Suppose -5*l + 75 = -4*t + 13, -2*l + 8 = 4*t. Calculate the smallest common multiple of l and 40.
40
Let o be (2/3)/(-1)*-3. Suppose -u + o*y = 2*u - 40, 4*y - 10 = -3*u. Calculate the lowest common multiple of u and 16/1 - (-1 + -1).
90
Suppose -g - 2*r = -0*g - 3, -2*g = -3*r - 6. Let z(u) = u**3 - 10*u**2 - u + 13. What is the least common multiple of g and z(10)?
3
Suppose -9*i + 12 = -10*i. Calculate the common denominator of 43/18 and 81/(-11)*6/i.
198
Suppose 0*y = 5*a + 4*y + 26, -4*a - 24 = 4*y. What is the lowest common multiple of 5 + (-1)/(a/4) and 1?
7
Let g be 2/((1/4)/1). Let p(i) = g*i + 3*i - 3*i. What is the lowest common multiple of p(1) and 6?
24
Let c = -14827/16 - -927. Find the common denominator of c and -59/4.
16
Let r = 195544/81 - 2414. Calculate the common denominator of r and -43/21.
567
Suppose -20 = -5*g + 5*k, -5*k - 4 + 0 = -g. What is the least common multiple of 4 and g?
4
Find the common denominator of 9/4 and -2*2*1*6/18.
12
Let w(r) = -5*r + 4. Let f be w(5). Suppose 3*k = -1 - 2. Find the common denominator of -6*(k + (-25)/f) and 139/6.
42
Let r = -2 + -3. Let m be (-2)/(-2) - (r + 2). Suppose -57 = -4*i - 3*x + 29, m*i - x - 78 = 0. Calculate the smallest common multiple of 16 and i.
80
Let r be (129/(-72))/(3/(-428)). Let y = 255 - r. Calculate the common denominator of y and 7/8.
72
Let c(v) = 20*v + 1. Let g be c(-2). Calculate the common denominator of 3/6 + 125/(-18) and g/(-4) - (-1)/2.
36
Let o(d) = -d - 6. What is the lowest common multiple of 11 and o(-10)?
44
Suppose 0*b + 4 = 2*b. Suppose -64 = -3*d - 2*s, -2*d - 11 = -b*s - 67. Calculate the common denominator of 81