
Let q be ((-4)/(-6))/((-2)/(-3)). Let h be (-2 + q)*1 + 322. What is the common denominator of -32/9 and (h/2)/(45/(-5))?
18
Let m be (-4)/6*(4 - 1). Let q(p) = p. What is the smallest common multiple of -1 - (3 + m + -7) and q(4)?
20
Calculate the lowest common multiple of 6 and (3 - 8/4) + 17.
18
Find the common denominator of 37/8 and (-412)/20*(-1)/(-4).
40
Suppose 7*i - 47 = 37. What is the lowest common multiple of 14 and i?
84
What is the smallest common multiple of 4 and (4/3)/((-20)/(-150))?
20
Let r = -32809/6 + 5480. What is the common denominator of -11/6 and r?
6
Suppose -167 = -c - 5*a - 47, -3*a - 104 = -c. Calculate the common denominator of 8/9 and (-108)/c - 7/35.
99
Let q be 1/(-5) + 145/(-25). Let p(v) = v**3 + 7*v**2 + 5*v + 4. Calculate the smallest common multiple of p(q) and 1.
10
Find the common denominator of -63/44 and 207/75*(-5)/(-2).
220
Calculate the lowest common multiple of 26 and 6*(3 + (-4 - -2)).
78
Let v = 16/83 + 3805/498. Calculate the common denominator of -11/53 and v.
318
Let o be (-9)/(-15) + (-1275087)/270. Let p = o - -4730. Find the common denominator of -53/6 and p.
18
Let o = 111496/17001 - 5/1889. Let c be (-67931)/18 + (-7)/(-14). Let v = 3769 + c. Calculate the common denominator of v and o.
9
Suppose 5*i - 5 = 25. Calculate the least common multiple of 23 and i.
138
Let z = -4/43 - 2263/172. Let w = -5/18 - -1/18. Find the common denominator of z and w.
36
Let f = -8 + 14. Let g(q) = -q**3 + 13*q**2 - 11*q - 6. What is the smallest common multiple of g(12) and (-1)/(-3) + 52/f?
18
Let k be 5*(93/(-15) - -3). Let c = k - -32. What is the lowest common multiple of 6 and c?
48
Let k = -3 + 6. Calculate the common denominator of -87/10 and 2/24*786/k.
30
What is the least common multiple of ((3*2)/1)/(12/60) and 33?
330
Let p = -175683/20 + 8786. Let a = 188096451289961/11592 + -16226401930. Let s = 4/1449 - a. Find the common denominator of p and s.
40
Let p be 5/3 + (-2)/(-6). Suppose 0 = -p*s + 3 - 5, 4*s = 2*w + 4. Calculate the common denominator of -7/2 and w/24*33/5.
10
Let z = -739/5 - -5333/35. What is the common denominator of z and 886/40 - ((-6)/(-15) + 0)?
28
Let j(x) = -x**3 - 3*x**2 + 3. Let y be j(-3). Find the common denominator of -83/4 and (2/y)/(12/(-153)).
4
Let z = 3047 + -54901/18. Let v be (-163)/(-450) + (-2)/9. Let m = v - 1/25. What is the common denominator of m and z?
90
Let k be 28716/268*1/27. Let l = -16/201 + k. Calculate the common denominator of l and 158/16*2 - 1.
36
Let j = 0 + 2. Let u be 1 - (1 - 1) - j. Find the common denominator of ((-15)/12 - u)*158 and 9/8.
8
Let l = 35580956/1843 + -19306. Let p = 24003/40546 + l. What is the common denominator of (1 + (-22)/8)*(-1)/(-5) and p?
220
Suppose -9 = 2*u - 21. Suppose 8 = y + r, -4*y = -6*y + 5*r - 19. Suppose 6*t - y*t - 12 = 0. Calculate the least common multiple of u and t.
12
Suppose 2*a = -g + 27, -a = -2*a - 2*g + 18. Suppose -2 + 0 = 5*x - 2*j, 4*x - 5*j = a. What is the common denominator of (-775)/30 + x/3 and 75/14?
14
Suppose -1 - 1 = -k. Calculate the lowest common multiple of k and 22.
22
Let h = -372592429010853399/256540 + 1452375571098. Let f = 1/25654 - h. What is the common denominator of 101/14 and f?
140
Let s be 1145/30 - 2/12. Calculate the common denominator of s/(-3)*11/(-22) and 16/9.
9
Suppose 4*z - 40 + 4 = -f, 4*f + 5*z - 177 = 0. Calculate the lowest common multiple of 4 and f.
48
Calculate the lowest common multiple of 9 + 12/(-2) + 2 and 19.
95
Suppose -14 = i - 26. Calculate the least common multiple of 6 and i.
12
Suppose 0 = -5*n - 80 - 35. Let p = n - -33. Calculate the smallest common multiple of 2 and p.
10
Let r = -54 + 76. Calculate the smallest common multiple of 10 and r.
110
Suppose 2*t = -3*t - 36405. Let k = 3994/2937 + 427955563/58740. Let b = k + t. Calculate the common denominator of b and -107/20.
20
Suppose -5*l = -261 + 21. What is the smallest common multiple of l and 20?
240
Let m = -16 + 26. Let w(d) = 2*d + 6. What is the smallest common multiple of m and w(0)?
30
Suppose -2*j + 17 + 25 = 0. Suppose 4*y + 5*c + j = 7, -5*y + 3 = -4*c. What is the common denominator of 83/4 and (-180)/(-14)*y/(-2)?
28
Let z be ((-4)/3)/(4/(-10)). Let l = z - 1/2. Let r = -108441/10 + 10855. Calculate the common denominator of r and l.
30
Let i = -8 + 24. Calculate the lowest common multiple of i and (5/(-3))/((-120)/432).
48
Suppose 0 = -4*h + 5*f - 610, 5*h + 4*f - 372 = -1114. Let i = 1563/10 + h. Calculate the common denominator of -83/10 and i.
10
Let i(j) = -8*j**2 + 1. Let q be i(1). Let x = q - -25. What is the least common multiple of x and 12?
36
What is the smallest common multiple of (-1 - (-18)/10)/(4/60) and 8?
24
Suppose -123 + 27 = -4*m. Calculate the lowest common multiple of m and 21.
168
Let o(s) = -s**2 - 3*s + 4. Let g be o(-3). Let h = -1 + g. Let k(v) = v**2 - 3*v + 4. What is the lowest common multiple of h and k(3)?
12
Calculate the common denominator of -47/3 and 140/(-21)*1/4.
3
Let m(a) = a**2 + a - 3. Suppose -x + 12 = 3*x. Calculate the smallest common multiple of 11 and m(x).
99
Let t = 183 + -179. What is the lowest common multiple of (-1 - 0/1) + 11 and t?
20
Let r be 78/70 + (-4)/10. Let c = r + -59/63. Let o = 2665/3 - 872. What is the common denominator of c and o?
9
Suppose 3*m - 2*a + 19 = 2*a, a - 43 = 5*m. Calculate the common denominator of (-8)/(-12) + (-47)/m and 45/2.
18
Suppose -p - 3*b = -15, 3*p - 40 = -2*b - 2*b. Let t = p + -3. What is the least common multiple of 6 and t?
18
Let k be ((-2)/3)/(-1)*75. Suppose -2*a = k - 2. What is the common denominator of 7/8 and (-1 - 117/a)*-6?
8
Let a = 281/4 + -70. Find the common denominator of a and -79/16.
16
Let f = -59 + 63. What is the lowest common multiple of 11 and f?
44
Let m = 2407/44 - 324/11. Calculate the common denominator of m and -63/32.
32
Let v be 12/(-10)*35/(-2). What is the common denominator of (-1)/(-4) + v/(-108) and 7/10?
90
Suppose 9*a - 8 = a. What is the lowest common multiple of 9 and a?
9
Let v be (-138)/(-10) + 1/5. Find the common denominator of (-7 + 2)*(-22)/v and -2 - ((-5)/45)/(4/(-582)).
42
Let g = -1819/12 - -157. What is the common denominator of -43/12 and g?
12
Let h(k) = -7*k**2 - 3*k + 4. Let o = -6 - -5. Let c(u) = -u**2 - u + 1. Let x(d) = o*h(d) + 6*c(d). Calculate the least common multiple of x(4) and 2.
6
Let s = -73 + 83. What is the lowest common multiple of s and 7?
70
Let i = -254819/1848 - -12983/84. Let x = 105/11 - i. Calculate the common denominator of x and 56/9.
72
Let f = 1 - 2. What is the lowest common multiple of 0/(-1 - -2) - f and 9?
9
Let q = -7 + 10. Calculate the common denominator of ((93/1)/q)/5 and 1/(-2) - (-14)/36.
45
Calculate the common denominator of (-9)/(-10) + 0 - -2 and -31/34.
170
Suppose 0 = -0*t + 2*t - 20. Let u = 19 - t. What is the smallest common multiple of u and 7?
63
Calculate the lowest common multiple of ((-4)/(-6))/((-4)/(-3) + -1) and 9.
18
Let h = -2738/3 + 925. What is the common denominator of h and -1/6?
6
Calculate the least common multiple of 7/(-28) - (-5)/4 and 13.
13
What is the common denominator of (-87)/105*7/7 and -113/6?
210
Suppose -l = -0*l - 6. Suppose 4*p - l = 2. Let u(k) = 7*k**3 - 1. Calculate the lowest common multiple of p and u(1).
6
Let j = 16 + 0. What is the common denominator of 15/14 and 170/j - 1/(-2)?
56
Let x = 218026765/374536 - -1/93634. Let b = 574 - x. Let v = -11858 - -118677/10. Find the common denominator of v and b.
40
Let f(j) = 2*j**2 + 4*j + 2. Suppose -3*a = 3*v + 18, 3*a + v + 4*v = -22. Calculate the lowest common multiple of -2*5/(15/(-6)) and f(a).
36
Let h(x) = -x**3 + 2*x**2 + 3*x + 3. What is the lowest common multiple of h(3) and 9?
9
Calculate the lowest common multiple of 3 and ((-2)/(-4))/((2 - 5)/(-60)).
30
Let d(j) = -j**2 - 6*j - 1. Let b be d(-6). What is the common denominator of (b/(-22))/(9/423) and 79/18?
198
Find the common denominator of ((-3537)/(-30))/(-9) + 4 and 47/22.
110
Find the common denominator of 73/3 and 1 - 2 - 9/27.
3
Suppose -5*q = 4*s - 0*s - 1000, 0 = -q - s + 200. Let j = -2225/11 + q. What is the common denominator of j and -49/5?
55
Suppose 7*n + 67465 = 2*n. Let p = 242801/18 + n. What is the common deno