
Let w be (-35)/(-3) + (-8)/12. Let u = w - -9. Calculate the least common multiple of u and 8.
40
Suppose 0*q + 25 = 5*q, -q - 112 = -3*l. Calculate the smallest common multiple of l and 33.
429
Find the common denominator of 6/(-8) + 1919/228 and 9/10.
30
Let c = -166186/13735 + -3/5494. Find the common denominator of (-2)/4 - 110/(-16) and c.
40
Let g = 2 - 2. Let z be (3 - g)*4/12. What is the common denominator of -3/20 and (z + 6/(-4))*-53?
20
What is the least common multiple of 22 and (-3)/(-4 + 399/102)?
374
Suppose a + 2 = -9. Let z = a - -22. Suppose 0 = -f + 3*f - 6. Calculate the least common multiple of z and f.
33
Let b = -15 + 18. Calculate the common denominator of (b - 2)*(-43)/10 and (-14)/12*1*-33.
10
Let b(v) = 4*v + 4. What is the lowest common multiple of b(5) and 45?
360
Let p(l) = -1 + 0*l**2 - l**3 + 4*l**2 + 2 - 2*l. Let i be p(4). Let s = i - -16. Calculate the common denominator of s and 67/2.
2
Let n = 6 - 2. Suppose l = n*x - 15, 3*l + 3*x - 3 - 12 = 0. What is the smallest common multiple of l and 2?
2
Let w = 3 - -7. Let t(i) = -i - 1. What is the smallest common multiple of w and t(-7)?
30
Let u(a) = -16*a. Let f be u(1). What is the common denominator of -1 + 2 - (-348)/f and -64/3?
12
What is the least common multiple of 10 and 10/2*(-27)/(-15)?
90
Let j = 28 + -23. Suppose -3*f = -6*f. Suppose t = -f + j. Calculate the least common multiple of 6 and t.
30
Suppose -2*o = -3*o. Suppose 0 = 3*t + 3*l - o - 12, -3*l = -t + 8. What is the least common multiple of 6 and t?
30
Let c(z) = 5*z**2 + z + 3. Let x be c(-5). Let s be x/(-1)*6/(-18). Let r = s - 27. What is the smallest common multiple of 20 and r?
140
Let o(x) = -x**3 - 6*x**2 - 4*x + 7. Let h be o(-5). What is the smallest common multiple of h/(-2) - (-5 + 2) and 10?
10
Let c = -1687/85 - -130/17. What is the common denominator of c and -53/31?
155
Suppose -71 = -5*z - 2*m + 3, -3*z - 3*m = -39. Calculate the common denominator of -111/22 and (4/(z/25))/(-1).
44
Calculate the common denominator of 0 - (255/(-36))/5 and -7/8.
24
Suppose 3*i + 198 = 5*i. What is the common denominator of 6/7 and 4/30*i/4?
70
Let b(i) = 2*i**2 + 10*i + 7. Suppose 5*s = -4*o - 30 + 4, -4*s + 4*o = 28. Let m be b(s). Let u = -5 + m. Calculate the least common multiple of u and 10.
70
Calculate the smallest common multiple of 30 and (-1 - 4)/(7 - 88/12).
30
Suppose -7*t = -t - 96. What is the lowest common multiple of t and 22?
176
Calculate the least common multiple of (-1 - 19)/(-1 + -1) and 4.
20
Suppose -5*t + t + 584 = 0. Suppose -26 = -4*r - t. Let v = 2860 - 8653/3. What is the common denominator of v and r?
3
Let s = 29 + -22. Calculate the smallest common multiple of s and ((-2)/(-2))/((-3)/(-15)).
35
Let o(u) = 4*u + 2. Calculate the lowest common multiple of o(5) and 6.
66
Let n = 5 + -3. Let v be (3/n - 1)*4. Suppose -i - v*i - 3 = 0, -3*i + 17 = 4*c. Calculate the least common multiple of c and 3.
15
Let i be 8/(9/(-6) + 2). Let r = 58 - i. Suppose -4*p + r = -p. What is the common denominator of p and -52/3?
3
Let i(d) = 151*d**2 - 2. Let o(x) = -x**2 - 1. Let a(c) = -i(c) + o(c). Let s be a(1). What is the common denominator of -49/10 and s/(-7)*(-7)/6?
30
Suppose 8*b - 36 = 4*b. What is the common denominator of -139/6 and (-16)/14*42/b?
6
Let f = -195/16 - -685/48. Let g = 645 - 1323/2. What is the common denominator of g and f?
12
Let m = -23000 + 597927/26. What is the common denominator of 55/8 and m?
104
Suppose c - 2 = -0*h + h, -c + 3 = 0. What is the least common multiple of 6 and 21 + (h + 3)/(-4)?
60
What is the least common multiple of (1 + -2)/((-15)/600) and 20?
40
What is the common denominator of -50/11 and 2/(-30)*(-3 + -84)?
55
Let a = -307595/33 + 27727/3. Let o = a + 1707/22. What is the common denominator of o and -63/38?
418
Let d(f) = -2*f**3 + 22*f**2 - 17*f - 22. Suppose -16 = -2*m - 3*k, 0 = -3*m + 6*k - 2*k - 10. Calculate the least common multiple of d(10) and m.
8
Let y = -9759 + 185377/19. What is the common denominator of y and 36?
19
Let s be ((-18)/(-135))/(1/(-10805)). Let t = s - -1461. Calculate the common denominator of t and -97/8.
24
What is the common denominator of (-1 - 0)*2 + (-310)/75 and -8/27?
135
Let i(r) = -r**3 + r**2 + 5*r - 5. Let x = 19 + -12. Calculate the least common multiple of i(2) and x.
7
Let m(b) = -2*b + 1. Suppose 7 = -4*n - 5. Let f(i) = -i**2 - 2*i - 2. Let p be f(n). Calculate the least common multiple of m(p) and 11.
11
Let y = 232 - 178. What is the smallest common multiple of y and 21?
378
Let m = 1363458/77 - 111838605/6314. Let a = 304/41 + m. Let i = 3641 - 65597/18. What is the common denominator of a and i?
198
Let o = -2 + 2. Let b(h) = -h**3 + 1. Let l be b(o). Suppose 5 = 4*u + l. Calculate the lowest common multiple of 3 and u.
3
Let h = 7 + -9. Find the common denominator of ((-2)/(-12))/(h/(-80)) and -19/6.
6
Suppose 3*p - 2*m - 3*m = 68, 5*p + m = 132. Suppose 5*l - p = -3*g, -2*l - 6 = -6*l + 5*g. Let q = 2 - 0. Calculate the least common multiple of l and q.
4
Suppose 3*i - 6 = 6. Suppose -i*x = -0*x - 64. Calculate the lowest common multiple of x and 4/(-2) - 24*-1.
176
Let h(w) = -w + 1. Suppose d - 4*d + q - 15 = 0, -4*d + 4*q = 12. What is the least common multiple of 7 and h(d)?
7
Let g(y) = -y**3 - 5*y**2 + 7*y + 9. Let z be g(-6). Suppose -z*b + 44 = -10. What is the lowest common multiple of 6 and b?
18
Suppose -h = -2*h. Suppose 4*t + 0*t - 16 = h. What is the lowest common multiple of t and 2?
4
Suppose 4*b - 8*b = -16, 0 = -5*u + b + 16. Let d = 18 + -17. What is the smallest common multiple of d and u?
4
Let s(p) = -p**3 - 2*p - 2*p**3 + 3*p. What is the smallest common multiple of s(-2) and 8?
88
What is the smallest common multiple of 20 and ((73 - 1)/4)/(1/4)?
360
Suppose 5*x + 5*w - 27 = x, 0 = 4*x - 4*w. Calculate the lowest common multiple of 4 and x.
12
Find the common denominator of (3/((-75)/(-610)))/(-4) and -2 - ((-45)/22)/(-1).
110
Suppose 4*z = 2*z. Let y be 0 - (z + -1 + -24). What is the common denominator of 315/y*10/32 and -75/22?
176
What is the common denominator of 2/5 + (-196)/35 and 23/6?
30
Let z(f) = -f - 1. Let h(a) = -30*a + 5. Let m(d) = -h(d) - 6*z(d). Let n be m(1). Let b = n - 25. Calculate the least common multiple of b and 18.
36
Let b = 1953/2059 - 65057587/12354. Let n = -5252 - b. What is the common denominator of -20/13 and n?
78
Let j be 1*12*(-6)/(-4). Let d = j + -13. Calculate the smallest common multiple of 3 and d.
15
Suppose 0 = -3*g + 8*g. Let c = g - 1. Calculate the smallest common multiple of 4 and ((-1)/c - -1) + 14.
16
Calculate the common denominator of 10/4*(-46)/(-6) and -2 - -6*(-47)/(-20).
30
What is the least common multiple of (4/14)/(2/14) and (2 + -13)*(0 - 2)?
22
Suppose 5*r - r = 5*c + 312, -123 = 2*c - r. Let y = -47/21 + 11/7. Calculate the common denominator of y and (-164)/c*5/(-2).
6
Suppose -z + 4*z = 3. Calculate the lowest common multiple of z and 8.
8
Let q(k) = -k**2 + 9*k + 15. What is the least common multiple of q(6) and 27?
297
Let z = -98 - -204. Calculate the common denominator of 246/56 - 2/8 and z/(-10) + 8/20.
35
Let k = -16192/24811 + -26/577. Let g = -259/430 + k. Find the common denominator of -23/3 and g.
30
Calculate the common denominator of -3*(-1)/(66/61) and 93/22.
22
Let m = -87/2 + 965/22. Find the common denominator of m and 83/4.
44
Let a(w) = w + 4. Let o be a(-5). Let v be (1*-2 + 1536)/o. Let j = v + 13826/9. What is the common denominator of 15/8 and j?
72
Suppose -2 + 5 = -v. Find the common denominator of -43/7 and (-3)/(30/(-38)) + v.
35
Suppose 0 = 5*q + 54 - 369. Calculate the least common multiple of q and 1.
63
Suppose 7*x - 55 + 13 = 0. What is the least common multiple of x and 4?
12
Let n = 415/3 - 7937/60. Calculate the common denominator of n and (-4)/10*(-205)/(-24).
60
Let j(c) = -c**2 + 3*c + 3. Let d be j(5). Let n = 0 + d. What is the common denominator of (-1770)/175 - (-2)/n and -61/10?
10
Suppose -3*a + 45 = 2*h, 0 = -2*h - 2*h + 5*a + 57. Find the common denominator of 978/140 - 2/7 and (-30)/(-80)*4/h.
60
Suppose 0 = -0*u - u - 2. Let a be u/(-5) + (-9029)/1035. Let m = 2/207 - a. Find the common denominator of m and -43/6.
6
Suppose -f - 2*q - 1 