3*p + 125. What is the common denominator of 41 and (-3)/3 - 164/p?
10
Let w = 8274 + -99383/12. Calculate the common denominator of 45/16 and w.
48
Let r = -18179/10 - -1820. Let p be 2/(-5) + (-970)/(-425). Let i = -454/187 + p. What is the common denominator of r and i?
110
Let z(m) = -m**3 - 8*m**2 - 10*m + 3. Let a be z(-7). What is the common denominator of 32/3 and 19*-1*3/a?
24
Let u(t) = 3*t**2 - 6*t - 4*t**2 + 6 - 3*t. Let l be u(-9). Let s(p) = p**3 - 6*p**2 + 8. What is the least common multiple of s(l) and 6?
24
Let q = -8 - -8. Suppose -44 + q = -2*m. Calculate the smallest common multiple of m and 8.
88
Let y(f) = -2*f + 48. Calculate the lowest common multiple of 20 and y(19).
20
Suppose -24 = -k + 3*t, 2*k - 5*t + 16 = 60. Calculate the lowest common multiple of 3 and k.
12
Suppose -2*f - t + 333 = 0, 5*f - t - 93 = 750. Calculate the smallest common multiple of f and 14.
168
Let h be 0 + -2 + (-373)/(-1). Let v be -1 - (-3 - -3 - h). Let z = v + -1561/4. Find the common denominator of 32/3 and z.
12
Let d(k) be the second derivative of k**3/2 - 9*k**2 + k. Suppose t = -3*h + 16 + 4, 5*t = -h + 44. What is the least common multiple of d(12) and t?
72
What is the lowest common multiple of 0 + -2 + (10 - -2) and (64/10)/(3/15)?
160
Calculate the common denominator of (-6)/3*(-2 - (-38)/(-48)) and -41/21.
84
Suppose -13 = 5*m - z, -4*m + z - 12 + 2 = 0. Find the common denominator of -139/6 and (0 + 102)*m/(-84).
42
Let j = -5 - -8. Calculate the common denominator of (-1*41/(-2))/8 and 254/(-32) + -1 + j.
16
Suppose 191 = -5*h + 3*s, 55 = 2*h - 3*h - 5*s. Let r = h + 60. What is the smallest common multiple of 22 and r?
220
Find the common denominator of -139/30 and -190*((-19)/28 + (-14)/(-21)).
210
Let c = 6 + -4. Suppose 4*k + 72 = 4*f, -f + 0*f - c*k = -24. Suppose 21*v = 16*v + 110. Calculate the lowest common multiple of f and v.
220
Let o = 12 + -7. Suppose 41 = o*b - 2*z - 39, 2*z = b - 24. What is the lowest common multiple of b and 8?
56
Calculate the common denominator of (46*(-6)/8)/(-27) and 29/6.
18
Let j be -1 - (-4)/(8/(-238)). Find the common denominator of 4/12 - (-292)/j and ((273/(-22))/3)/(-1).
110
Suppose 6 = -3*x + 4*x. Suppose -5*u - 5 = 85. Let z = u - -30. Calculate the least common multiple of x and z.
12
Let a(i) = -1898*i**3 + i**2 + i - 1. Let w be a(1). Let o = -7643/4 - w. Let v = -812 - -6439/8. What is the common denominator of o and v?
8
Let m(l) be the second derivative of -l**4/12 + 3*l**3/2 - l**2/2 + 2*l. Calculate the smallest common multiple of m(8) and 7.
7
Suppose 9*w - 30 = 4*w. Let a be (-2)/w - (-515)/15. Suppose -2*v = -v - 4*b + 6, a = 3*v + b. Calculate the least common multiple of v and 4.
20
Let o(k) = k**3 - 17*k**2 + 17*k - 5. Calculate the lowest common multiple of 8 and o(16).
88
Suppose -2*a - 2 = m, -4*m + 16 = -2*a - 2*a. What is the common denominator of (-301)/168*3/a and -37/18?
144
Calculate the common denominator of 1 + 3 + (-353)/112 and -103/10.
560
Let o be (-2)/(-3) - (-2315)/6. Let v = -377 + o. What is the common denominator of v and 59/3?
6
Calculate the common denominator of -25/8 and ((-4)/(-12))/((-4)/68).
24
Suppose -2*z - 18 = z. Calculate the least common multiple of (-42)/4*z/9 and 1.
7
Let d = -19 - -35. Suppose -5*p - l + 12 = -26, -p - 3*l = -d. What is the lowest common multiple of p and 16?
112
Let k(n) = -n**3 + 7*n**2 + 4*n - 6. What is the lowest common multiple of k(7) and 14?
154
Let y = 531 - 1087/2. Let m = 293/4 - 659/12. Find the common denominator of y and m.
6
Let f = 448/51 - -83/17. Find the common denominator of f and -55/24.
24
Let w = 2 - -8. What is the lowest common multiple of w and 4?
20
Suppose -3*q = -5*k - 31, -k = -3*q + k + 16. What is the smallest common multiple of 20 and 20/q + 0 + 2?
60
Let l = 429 + -3853/9. Let g be 4/(-14) - 513/(-7). Find the common denominator of (1 + -2)*g/8 and l.
72
Suppose -2*u + 46 = 18. Let c be (-74)/(-14) - 4/u. Suppose 102 = c*d + h, -4*h - 45 + 13 = -2*d. Calculate the lowest common multiple of d and 12.
60
Suppose 2*y + 0*y = 24. Calculate the least common multiple of -12*(-2 - 0)/2 and y.
12
Let u = 0 - 5. Let a = u + 7. Suppose d - 42 = -4*d - 4*q, -a*q = 3*d - 24. Calculate the common denominator of d and 26/5.
5
Let z = 317/36 - 68/9. Find the common denominator of 5/12 and z.
12
Suppose w - 3 = 3*w - f, -3*w + 15 = 5*f. What is the lowest common multiple of 3 and -4 - -1 - (-4 - w)?
3
Let t = -18473 - -461729/25. Let u = t + -1257/200. Calculate the common denominator of u and 37/5*(-55)/(-154).
56
Let p = 46/39 + 119/13. Calculate the common denominator of p and (32/256)/(1/4 - -1).
30
Let f be (1 + -2)*(-8)/1. What is the common denominator of -121/6 and 12/(-20)*(-10)/f?
12
Let p = 9 - 20. Suppose -4 = 5*h - 3*f + 11, 0 = 2*h + 5*f + 37. Let q = h - p. Calculate the lowest common multiple of 10 and q.
10
Suppose -x + 3*x - 22 = 0. What is the lowest common multiple of 16 and x?
176
Calculate the smallest common multiple of 12 and 1 + (-702)/(-15) - 2/(-10).
48
Let n(a) = 385*a + 3. Let r be (-1)/3 - (-32)/(-12). Let c be n(r). Let y = -6979/6 - c. Calculate the common denominator of -7/6 and y.
6
Let v = -1/292 - -91/5256. Calculate the common denominator of v and -71/9.
72
Suppose -8*j + 3*j - 5 = 5*c, -3 = -2*c - j. What is the lowest common multiple of c and 32?
32
Suppose 9*p - 20 = 142. What is the lowest common multiple of 4*5/6*3 and p?
90
Suppose -4*i - 2*l = -42, 4*l + 6 = -0*i + i. What is the least common multiple of i and 3?
30
Suppose -3*o + 12 = -21. Calculate the smallest common multiple of 2 and o.
22
Let r be 654/(-531) - 6/9. Let b = r - -3657/590. Find the common denominator of b and (-29)/20*9/3.
20
Suppose 0*t + 14 = 2*t. Let l(y) = y**3 - 7*y**2 + 2*y - 8. What is the lowest common multiple of 8 and l(t)?
24
Let z(k) = -8*k**3 - k**2 - k. Let s be z(-1). Let i = 45 + -27. Let w = i - s. Calculate the lowest common multiple of w and 1.
10
Let s = -6961/712 - 31/89. What is the common denominator of s and -45/2?
8
Suppose -5*s - f - 4 = 0, 2*s - 4*s - 4*f = 16. Suppose w - 18 = -4*t, s = 5*t + 5 - 20. What is the lowest common multiple of w and 9?
18
Calculate the smallest common multiple of 1 and 1*(3 - 35)/(-4).
8
Suppose -4*r + 80 = r. What is the smallest common multiple of 8 and r?
16
Let u = 473/6 + -79. Let m = 3288/5 + -650. Find the common denominator of u and m.
30
Suppose 0 = n + 3*n - 20. Suppose 2*c = 3*c - n. Calculate the lowest common multiple of c and 5.
5
Let n(s) be the first derivative of -4*s**3/3 - s**2/2 + s - 1. Let x be n(1). Find the common denominator of (-2)/x*(-51)/5 and -13/12.
60
Let j = 741/4 + -24721/132. Find the common denominator of j and -101/12.
132
Suppose -4*p = 4*b - 24, 3*b = -p - 2*b + 22. What is the smallest common multiple of p and 122?
122
Let g = -3238 - -893687/276. Let t = g + 463/828. Calculate the common denominator of t and (-4)/14 + (-2584)/(-224).
36
Let d = 104 - 64. Calculate the common denominator of 0 + 2/(d/126) and 79/14.
70
What is the common denominator of ((-144)/(-78) - 2) + 2674/312 and -19/12?
12
Suppose 2*h = -h - 5*x + 9, -4*x + 12 = 4*h. Calculate the common denominator of 21/2 and h/15*(-29)/2.
10
Let b = 195377/44 - 8879/2. Find the common denominator of -71/4 and b.
44
Calculate the common denominator of -73/18 and (-43)/(-2)*(-12)/162.
54
Let g = 96 - 64. Suppose -5*t = -3*v + g, -62 = -0*v - 4*v - 3*t. Calculate the smallest common multiple of 16 and v.
112
Find the common denominator of 5/4 and (-448)/12*(-4)/(-8).
12
Let f(h) = 13*h + 1. Let t be f(1). Find the common denominator of 29/10 and -7 + 7 + t/22.
110
Let s = 0 - -2. Let d be (-115296)/10305 - -1 - s. Let a = -8/687 + d. Find the common denominator of a and 29/8.
40
Let m(p) = 8*p**3. Let x be m(-1). Let h be (x - -3 - -3) + 16. What is the common denominator of 95/8 and 174/h*2/4?
56
Let p = -2047/638 + 10/29. Let m = -5935/36 - -1666/9. What is the common denominator of m and p?
44
Suppose 20 = -2*v + 4*v. Calculate the smallest common multiple of v and 36.
180
Let p = -1467669/71 - -1915603127/91590. Let u = -9372/43 + p. Let b = u - 2/15. What is the common denominator of b and -97/6?
6
Let y = -16 + 23. Let h(f) = 