0, 33 = k - 7*w + 2*w. What is the lowest common multiple of k and 11?
88
Suppose -3*a - 2*r = -16, -5*a - r = 2*r - 27. Let l(q) = 3*q - 25. Calculate the least common multiple of a and l(11).
24
Let s = 2050 + -45131/22. Find the common denominator of s and 19/4.
44
Calculate the common denominator of (-1)/(-2)*(-75)/(-12) and -32/11.
88
Calculate the least common multiple of ((-4)/(-5))/(2/5) and 9.
18
Let j = 7 - -15. What is the lowest common multiple of j and 20?
220
Suppose -p + 4 = 2. Let q = 4 - p. Calculate the smallest common multiple of q and 5.
10
Let q be 20*(-2 + 16/5). What is the common denominator of -39/20 and 297/q + 5/(-5)?
40
Let m = -17 - -21. Let l(p) = 2*p**2 + 7*p + 7. What is the smallest common multiple of l(-5) and m/(-28) + (-99)/(-7)?
154
Suppose 2*x + 673 = 225. What is the common denominator of ((-2)/(-3))/(x/2310) and -13/32?
32
Let p be (-2)/8 + 25/4. Suppose f + b + 10 = p*f, 3*b = 5*f - 10. Calculate the smallest common multiple of f and 5.
10
Let t = 4009/4 + -8085/8. Let j = t + 231/8. Calculate the common denominator of j and 5/(-15) + 90/(-4).
6
Let z be ((-2)/(-12))/(2/4276). Let s = z + -1016/3. What is the common denominator of 15/7 and s?
21
Let j = -8/265 - -14061/530. What is the common denominator of j and -71/4?
4
Suppose 0 = -2*d - 2, -2 = -2*h - 2*h - 2*d. Let q(u) = u**2 + u. Calculate the least common multiple of 2 and q(h).
2
Let h = -15 + 29. Let l be (h - 2)*(-6)/9. Calculate the least common multiple of 3/12 - 54/l and 9.
63
Let w = 79 - 463/6. Let z = -31/3 + 2855/276. Let y = 1567/276 - z. Find the common denominator of y and w.
6
Calculate the common denominator of -72/35 and (-64)/(-3) + -3*1/(-18).
70
Let c be ((-3)/(-3) + -1)/(-1). Suppose 2*i + 3*s - 24 = c, 4*s - 1 = -i + 1. What is the least common multiple of 1/(((-14)/(-24))/7) and i?
36
Let w(k) = -k**2 + 4*k + 9. Suppose -3*t + 2*s + s = -15, -4*t = 3*s + 8. Calculate the least common multiple of w(4) and t.
9
Let j = -13 - -26. Suppose 0*p + p - j = 0. Calculate the least common multiple of 8 and p + -1 + 4/(-2).
40
What is the common denominator of 23/48 and (-26)/(-12)*121/(-22)?
48
Let k = 393/52 - 3/52. Calculate the common denominator of 105/46 and k.
46
What is the common denominator of 1/(-3) + (-295)/42 and 29/22?
154
Let w(v) = 2*v + 10. What is the smallest common multiple of w(3) and 16?
16
Let g = 6221/133 + -337/7. Find the common denominator of g and 13/8.
152
Let c(x) = -2*x**3 - 3*x**2 + 3*x. Calculate the smallest common multiple of c(-3) and 12.
36
What is the common denominator of 39/2 and -9*(-1)/(-60)*74?
10
Suppose 9*k - 6 = 12. Calculate the lowest common multiple of 10 and k.
10
What is the lowest common multiple of 12 and 4/(-10)*(-3 + -2)?
12
Let h(o) = 5*o**2 - 5*o + 4. Calculate the least common multiple of 7 and h(2).
14
Let j = -259/6 - -45. Let b(l) = 6*l + 1. What is the common denominator of b(-3) and j?
6
Let s be (-651)/(1 + 2) + -2. What is the common denominator of (-8)/28 + s/(-154) and -57/2?
22
Suppose 0 = 2*x + 6, 3*x = -5*w + 14 - 3. Calculate the smallest common multiple of w and 10.
20
Let k be (-2)/9 - 22/(-18). What is the lowest common multiple of 5 and -5*((-1)/1 - k)?
10
Calculate the common denominator of -2 - 0 - 255/(-55) and 0/(-1) - (-1003)/34.
22
Let o(y) = y**3 - 2*y**2 + 4*y + 1. Calculate the least common multiple of o(2) and 30.
90
Calculate the smallest common multiple of 10 and 1 - (-1)/1 - 0.
10
Let f = 33 - 15. What is the lowest common multiple of 16 and f?
144
Suppose -98 = 8*k - 450. What is the least common multiple of k and 24?
264
Let k(a) = a**2 + 5*a + 6. Calculate the lowest common multiple of 22 and k(-5).
66
Let n be (-4)/18 + (-228)/(-54). Suppose -5*d - 5*r + 102 = -18, 0 = d - 4*r - n. Suppose -5*k + 2*k = -48. What is the least common multiple of k and d?
80
Let i = -15 + 29. What is the smallest common multiple of i and 20?
140
Suppose -6*f - 34 = -4*t - f, 59 = 5*t + 2*f. Calculate the least common multiple of t and 10.
110
Let w be (-33)/(-22) - (-28454)/(-18972). Let y = w - 365221/47430. What is the common denominator of y and 37/5?
10
Let y = -603/410 - 13/164. Calculate the common denominator of (3 - 1) + 2/24 and y.
60
Calculate the smallest common multiple of 1 and (507/(-12))/(-13) - 1/4.
3
Suppose 5*s + 6055803 = 2*w + 2*w, 0 = -5*w - 2*s + 7569795. Let k = w + -9029407/6. Let f = k - 9078. Calculate the common denominator of f and 71/10.
30
Calculate the common denominator of (6/(-9))/(-4 + -2) and -24/11.
99
Suppose 2*z = -2*i - 12, -3*i + i + 2*z - 12 = 0. Let a(d) = -d**2 - 8*d - 8. What is the smallest common multiple of 8 and a(i)?
8
Suppose 0*t + 16 = -4*t, 0 = 4*y - 3*t - 172. Find the common denominator of -43/6 and y.
6
Let y(q) = -q**2 - 9*q - 4. Calculate the least common multiple of y(-7) and 152/7 + 5/(70/4).
110
Suppose 15 = 5*f, f - 655 = h + 6*f. Let a = -1273/2 - h. Let o = -14950/7 + 2141. Calculate the common denominator of a and o.
14
Let h(i) = 4*i**2 + 5*i - 2. Let x(p) = 6*p + p**2 + 2*p**2 - 3 + 0. Let f(t) = 4*h(t) - 3*x(t). Calculate the common denominator of f(2) and 3.
1
Let p = 115188/20671 - 3/2953. Let j(a) = a**2 - 1. Let q be j(3). Calculate the common denominator of (q/12)/((-8)/129) and p.
28
Let w(f) = -6*f - 20. What is the least common multiple of w(-5) and 12?
60
Suppose -2*s + 15 = -5*s + 3*f, f - 11 = 4*s. Find the common denominator of s + ((-291)/12)/(-1) and -65/12.
12
Let q(r) = -16*r**3 + 2*r**2 + r. Let x be q(-1). Let b = x - 134/5. Find the common denominator of (-19)/(-2) - (0 - -1) and b.
10
Let x(b) = b**2 - 3*b + 3. Let f be x(2). Calculate the lowest common multiple of (-9)/6*(f + -3) and 5.
15
Suppose 2*f = 4*j - 76, 2*j + f + 2*f = 30. Calculate the least common multiple of 4 and j.
36
Find the common denominator of -91/10 and (1/5)/(4/1010).
10
Let f(a) = -a - 1. Let q be f(6). Let d = -13 - q. Let m = 0 - d. What is the smallest common multiple of m and 9?
18
Let d = 197 - 182. What is the smallest common multiple of 5 and d?
15
Suppose 4*p = 5*v + 575, -3 = -0*v + v. What is the common denominator of (-4)/(-14) - 1034/p and 51/11?
110
Let t = -252/19 + 1801/57. Find the common denominator of t and -3/14.
42
Let b = -5563/24 - -686/3. Let s = -871166/9 + 148061509/1530. Let p = 498/17 + s. What is the common denominator of p and b?
40
Let p = 5 + -23. Suppose -13 = 4*c - 1. Calculate the common denominator of 13/7 and (c/p)/(4/246).
28
Let n = -12/1777 - 97543/28432. Let c(w) = w**3 + 3*w**2 - 4*w + 2. Let d be c(-4). Calculate the common denominator of n and 79/(-4)*(-1)/d.
16
Suppose -l = -2*l + 5*b + 22, -b - 14 = -l. Calculate the smallest common multiple of l and 22.
132
Let g(r) = -6*r - 1 + 1. Let m be g(-2). Find the common denominator of 3/4 and (-127)/m + -2*1.
12
Calculate the common denominator of -79/18 and -4 + (-4 - (-338)/12).
18
Suppose 2*v = 7*v - w - 6, -12 = -2*v - 2*w. What is the lowest common multiple of v and 8?
8
Find the common denominator of 457/(-40) + 12/(-60) and 43/11.
88
Let g = -7853/4 - -1973. What is the common denominator of 89/2 and g?
4
Find the common denominator of -25/2 and -3 + (-3 - (-44)/15).
30
Let w(f) = 3*f**2 - 4*f - f - 2*f**2 + 6. Let p be 32/6 + (-3)/9. Calculate the smallest common multiple of w(p) and 12.
12
Suppose -8 = -0*z - 4*z. Find the common denominator of 117/(-4)*z/33 and -53/8.
88
Let d(v) = v - 1. Let i(o) = -o - 3. Let t(m) = 4*d(m) + i(m). Calculate the lowest common multiple of 16 and t(9).
80
Let t be 3/(-12) - 147/(-12). Let y(g) = -g - 6. Let j be y(-6). Suppose k + k - t = j. What is the lowest common multiple of k and 22?
66
Suppose -154 + 46 = -6*r. Calculate the smallest common multiple of r and 22.
198
Suppose -w - 14 = -3*w. Suppose p - w = -d + 1, 4*p = 4*d + 40. Calculate the lowest common multiple of 6 and p.
18
Let m be (-4)/(10028/(-2533)) - 1. Let g = 1078192/17549 - m. Let c = g - 9355/154. Find the common denominator of c and 133/12.
132
What is the least common multiple of 10 and 30/135 - (-79)/9?
90
Let i = 1205/42 + -131/6. Find the common denominator of i and 34/7.
7
Let m(u) = -u**3 + 5*u**2 - 3*u + 1. Suppose 71 - 20 = -5*a + 3*x, -3*a - 51 = 5*x. Calculate the smallest common multiple