 - 100 = -2*q. Suppose -2*f = 2*k, 0*k + k = 2*f + 6. Suppose 0 = -0*j - k*j + 4. What is the lowest common multiple of j and q?
20
Calculate the least common multiple of 21 and (-129)/(-7) + 78/(-182).
126
Suppose -5*z + 28 = 2*i, 4*i + z = 9 + 11. Calculate the smallest common multiple of i and 2.
4
Let o(z) = z**2 - 3*z - 7. Let g be o(5). Calculate the lowest common multiple of (-3 - (-10)/g)*12 and 7.
28
What is the common denominator of 1 - 2 - (-198)/(-40) and ((-8)/(-360))/(2/(-745))?
180
Calculate the common denominator of 2/17*(-4)/3 and 58/7.
357
Let b = 18 - 13. Suppose 3*o + b*r = 32, 4*o - 5*r = -2*r + 4. Calculate the lowest common multiple of 2 and o.
4
Let p be (-116)/6 - 6/9. Let u = p - -38. What is the least common multiple of u and 10?
90
Let i = 7 - 2. Suppose 12 = -i*v - 8. Calculate the lowest common multiple of 3/v*(-4 - 20) and 4.
36
Find the common denominator of 28/13 and (-30)/36*(-42)/(-20).
52
Let r = -16 - -14. Find the common denominator of -48/7 and (-51)/7 - (r + -1).
7
Suppose 0 = -5*n - 5, 4*v + 0*n = -5*n + 67. What is the least common multiple of 15 + 2/((-2)/(-3)) and 24/v*(-42)/(-4)?
126
Suppose 11*o - 4 = 10*o. What is the lowest common multiple of 22 and o?
44
Let c(v) = -v**3 + v**2 + v + 12. Let b = -7 - -7. Suppose -3*u = -16 - 14. What is the smallest common multiple of c(b) and u?
60
Suppose -f = -2*f - 10. Let y be 5/f - 238/(-466). Let k = -16553/932 + y. Calculate the common denominator of k and 49/6.
12
Suppose -c + 3*c + 2*h + 32 = 0, -5 = -5*h. Let n = -7 - c. What is the smallest common multiple of n and 6?
30
Let c = -12799 + 6335512/495. Let k = c + -2399/990. What is the common denominator of -109/22 and k?
22
Let t(s) = -s**3 + 10*s**2 + 9*s + 13. Let i be t(11). Let g = 8 + i. Find the common denominator of 43/6 and ((-67)/2)/(g*7).
42
Let i(h) be the third derivative of -h**4/24 + 7*h**3/6 + h**2. Let j = 54 + -49. Calculate the lowest common multiple of i(j) and 2.
2
Let r(d) = -3*d + 10. Let x be r(4). Calculate the lowest common multiple of 5 and x/(-1)*14/4.
35
What is the common denominator of -19/10 and 29/10*15/2?
20
Let n be ((-2)/(-62))/((-37)/2). Let g = n + -29816/3441. Let u = 6/175 + 1149/175. Calculate the common denominator of u and g.
15
Calculate the common denominator of -85/21 and 5 + -2 - ((-7172)/120)/(-11).
210
Let z = 25 - 37. Let b be (z/14)/(5/(-35)). Suppose -3*v - 1 = -4*q, b*v - 5*q = 2*v. What is the lowest common multiple of 4 and v?
20
Let y = -91/22 - -15/2. Let x = 10635 + -21723/2. Let t = x + 258. Find the common denominator of y and t.
22
Let q = 192347/2236 + -2231/26. Find the common denominator of q and 67/14.
1204
What is the smallest common multiple of ((-180)/(-16) - 7) + 1/(-4) and 4?
4
Let r = -25 - -49. What is the lowest common multiple of 54 and r?
216
Calculate the common denominator of ((-136)/12)/(1*22/6) and 24.
11
Suppose 0 = 3*m - 58 + 22. What is the least common multiple of 1/2 - -2*2/8 and m?
12
Find the common denominator of -50/7 and (-18)/(-5) + 6/(-2 - 0).
35
Let f = -74303/11 + 6750. What is the common denominator of f and 2/33?
33
Calculate the common denominator of -3/4 and 40/(-16)*(-98)/10.
4
Let h(n) = n + 8. Let m(t) = 2*t - 10. Let y be m(7). Suppose -2*j = -y*q - 0*j + 2, 0 = 4*q - j - 1. What is the lowest common multiple of 12 and h(q)?
24
Let a be 21/35 - (-141)/15. Suppose -a*l = -9*l - 11. Calculate the lowest common multiple of 3 and l.
33
Let i be (-42)/(-26) + 1 + -1. Let b = -911/104 - i. Calculate the common denominator of b and ((-34)/(-8))/((-3)/(-2)).
24
Let v = -702597/4 + 177793. Let q = -2130 + v. Find the common denominator of ((-20)/11)/((-3)/(-6)) and q.
44
Calculate the common denominator of 850/(-144) + 16/(-72) and -71/14.
56
Let i(z) = 16*z + 3. Let w be i(-6). Find the common denominator of 30/11 and 10/25 + w/(-55).
11
Let w = 2/26445679 + -5109225845795/423130864. Let c = -12080 - w. Find the common denominator of 55/18 and c.
144
Let s = 428713/28 - 15309. Calculate the common denominator of s and -39/4.
28
Let c be ((-58)/(-3))/(4/6). Suppose z + 2 = -r + c, 3*r = 3*z + 51. Let w(i) = -i**2 - 7*i + 2. What is the least common multiple of r and w(-7)?
22
Let i(d) be the third derivative of -d**4/24 - d**3/6 - 2*d**2. What is the least common multiple of i(-6) and 10?
10
Find the common denominator of 1*-1 - (-148)/64 and (-1 + 30/(-28))/1.
112
Let o = -31 + 51. What is the least common multiple of o and 2?
20
What is the common denominator of 27/14 and ((-7)/(-102))/(4/(-1260)*-7)?
238
What is the common denominator of 73/18 and (-3068)/560 + (-4)/7?
180
Let d(z) = 7*z**3 - 2*z**2 - 4*z + 3. Let r(c) = 22*c**3 - 5*c**2 - 11*c + 8. Let k(s) = -8*d(s) + 3*r(s). Calculate the lowest common multiple of k(1) and 2.
10
Suppose 4*f - r = 16, -f - 3*r + 17 = -0*f. What is the smallest common multiple of f and ((-1)/2)/(2/(-32))?
40
Suppose 78 = 12*a + a. Calculate the least common multiple of 12 and a.
12
Suppose 3*p - 36 - 12 = 0. Suppose o = -o + 36. What is the lowest common multiple of o and p?
144
Suppose -5*i = -15 - 15. Suppose 0 = -2*j + 5*j - i. What is the smallest common multiple of 8 and j?
8
Let t(a) = -a**3 - 18*a**2 - 19*a - 1. What is the lowest common multiple of 9 and t(-17)?
99
Let l = 49111/1610 - 3/805. Calculate the common denominator of l and -85/2.
2
What is the smallest common multiple of 9 and (4 - (-6 + 9))/((-1)/(-8))?
72
Let n(i) = i**3 - 10*i**2 - 12*i + 21. What is the least common multiple of n(11) and 14?
70
Let s(t) = t**2 + 7*t + 2. Let m be s(-3). Find the common denominator of 53/9 and (-22)/11 + 16/m.
45
Suppose 6*d = d + 5*s - 200, -3*s = 5*d + 200. What is the common denominator of (-28)/d*6 - -1 and 34/4 - (3 + -2)?
10
Suppose 2*h = 5*q, -2*h + 12 = -4*q + 2*q. Let a be 69/15 - (-4)/h. Calculate the common denominator of -71/8 and a/((-45)/34) - -1.
72
Let y = -1577 + 18833/12. Find the common denominator of y and 23/10.
60
Let p be 1*(-4)/((-16)/4). Calculate the common denominator of 4 + (p - 44/(-56)) and -71/2.
14
Suppose -19 = -y + 25. What is the lowest common multiple of 12 and y?
132
Let g(u) = -u**3 + u**2 + u - 21. Let k be g(0). Calculate the least common multiple of (-7)/(-1 + 0/(-2)) and ((-3)/9)/(1/k).
7
Let h = 184 - 177. What is the least common multiple of 35 and h?
35
Suppose 64 = m - q, -3*m + m + q = -128. What is the smallest common multiple of m and 20?
320
Let c(z) = z + 9. What is the lowest common multiple of c(-5) and 12?
12
Let k = -12548 - -301091/24. Calculate the common denominator of k and -91/15.
120
Let x be ((-12)/(-10))/((-8)/(-20)). Let o(n) = n + 1. Calculate the least common multiple of o(x) and 2.
4
Let y be 22/(-6)*(-2082)/(-14). Let v = -544 - y. Calculate the common denominator of -36/7 and v.
7
Suppose -r + 6 + 1 = 0. Let k = -7 - -12. Suppose 0 = k*v - 3*v - 4. What is the smallest common multiple of r and v?
14
Suppose 4*h - 21 - 3 = 0. What is the least common multiple of h and 5?
30
Suppose 4*y - 1 - 7 = 4*n, 0 = 2*y + 3*n + 11. Let i = -13/11 + -4/11. Find the common denominator of i and ((-276)/27)/2 + y.
99
Let n be 3202/(-316)*(-4)/(-22). Let x = n - 34/79. What is the common denominator of x and 13/6?
66
Suppose 2*i - 5*x = 3, 0 = -4*i - 4*x - x + 21. Calculate the lowest common multiple of i and 7.
28
Let d = -2445 - -19529/8. Let m = 5106865625881/3604 - 1416999322. Let p = 4/901 - m. Find the common denominator of p and d.
8
Let c = 473/84 - 110/7. Let a(f) = -3914*f + 2. Let v be a(2). Let q = v + 172213/22. What is the common denominator of c and q?
132
Let c = 11 + -5. Let a(u) = -u**2 - 3*u + 2. What is the smallest common multiple of a(-3) and c?
6
Let p(q) = -4*q**3 + q**2 - 2*q + 1. Let b be p(1). Find the common denominator of b/3*(-402)/16 and -67/14.
14
Suppose 0*y + 4*v - 2 = -2*y, -5*v = y + 5. Suppose 2*k - 12 = k - 4*r, 5*k - y*r = 35. What is the least common multiple of 22 and k?
88
Let l = 897257/3498 + -10/1749. Let o = 4127/16 - l. Let u = -63561/3140 - 6/785. Find the common denominator of u and o.
16
Suppose 20 = -5*r, 5*f + 11 - 1 = -5*r. Let j(s) = s**2 - 6*s + 1. Let i be j(5). What is the smallest common multiple of (33/6)/((-1)/i) and f?
22
Suppose -1 = -3*g + 14. What is 