15/12.
24
Suppose 6 - 36 = -3*m. Let o = -33 - -36. What is the lowest common multiple of o + (3 - (0 + 1)) and m?
10
Let p be 0 + 2 + 1 + 20/4. Suppose -p = -2*a - 5*r, 4*a - 6*r = -r + 16. Calculate the least common multiple of a and 16.
16
Let a = -56 - -59. Suppose 3*l + 2*o = 4, 2*l = 4*o - a*o + 5. Calculate the smallest common multiple of l and 47.
94
Let b be ((-2)/6)/((-2)/(-6)). Let z = 70 - 70. What is the lowest common multiple of 10 and (0 + b + z)/(-1)?
10
Calculate the common denominator of 3 + 2/60*-214 and (-1878)/(-693) + 3 + (-115)/35.
165
Let p(b) = 24*b + 6. What is the smallest common multiple of p(1) and 24?
120
Let q = 57691/18690 - 28/445. Calculate the common denominator of q and (-10)/100*(5 - 118).
210
Let y(h) = -h + 1. Suppose 13 = -f - 3*t, -2*f = t - 0 + 1. Let l be y(f). Let r = 21 - l. Calculate the least common multiple of r and 8.
88
Let a be 3/(-4)*(-16)/6. Let h be 3 + a + 10527/48. Let z = h - 230. What is the common denominator of z and -97/2?
16
Suppose -3*u + 4 = 2*z, -6*u + 12 = 4*z - 2*u. Suppose 4393 = z*v - 6462. Let y = v - 6577/3. Calculate the common denominator of 71/10 and y.
30
Let s = -908/175 + 159/25. Let d = s - 15/14. Calculate the common denominator of -31/18 and d.
90
Suppose 4*r - 2*m = 68, 0 = -2*m - 0 + 4. What is the smallest common multiple of 150 and r?
450
Let u(w) = 9*w - 9. Let r = -11 + 23. Calculate the smallest common multiple of u(3) and r.
36
Let g be 6/10 + (-1671)/(-15). Suppose -i = -5*i + 4*y + 92, 0 = 5*i - 2*y - g. Calculate the least common multiple of i and (-66)/(-2) - (-4 + 1).
396
Suppose 3*n + 5*w = 7*n - 28, 4*n + 4*w = 64. Calculate the least common multiple of n and (-40)/30*(-18)/8.
12
Suppose 2*s + 63 - 2 = -5*o, -5*s - 2*o - 163 = 0. Let r = -12 - -7. Let j = r - s. What is the smallest common multiple of 12 and j?
84
Let r(p) = p**2 - 9*p + 8. Let c be r(7). Suppose -4*m + 13*t + 36 = 11*t, -4*t + 32 = 5*m. Calculate the common denominator of m and 2/4 - 26/c.
6
Let d be (-1 + 2 - -2) + -1. Suppose -d*n + 12 = 2*n. Suppose 0*q + n*q - 36 = 0. Calculate the least common multiple of q and 14.
84
Let s(r) be the second derivative of r**3/3 - 11*r**2/2 - 5*r. Let d be s(10). Suppose n + 3 - d = 0. What is the least common multiple of 20 and n?
60
Suppose 16*z - 56*z + 1120 = 0. Calculate the least common multiple of 14 and z.
28
Let c(y) = 2*y**3 - y**2 + 3*y + 1. Let u = 1 - 3. Let x be c(u). Let s = x - -31. Calculate the least common multiple of 30 and s.
30
Find the common denominator of 248/372*10/12*-13 and -19/5.
45
Suppose 4*p - 16 = 0, -3*g + 0*g + 283 = 4*p. Let c = g - 80. What is the lowest common multiple of c and 6?
18
Suppose 5*b - 421 = 114. Let f be b/(-7) - 16/(-56). Let y = f - -29. Calculate the smallest common multiple of 16 and y.
112
Suppose 4*v = 3*f + 26 + 31, 65 = 4*v + 5*f. Calculate the lowest common multiple of v and 6/((4/2)/14).
210
Suppose -8*j + 36 = -2*j. What is the lowest common multiple of 110 and j?
330
Let h = 158363/26 + -6090. Let k = 388/39 + h. Let l = 793/10 - 173/2. What is the common denominator of k and l?
30
Suppose w = -2*n, n - 5*w = 4*n + 14. Suppose -2*u - 3*d + 5 = -31, n*u - 24 = 3*d. What is the lowest common multiple of 24 and u?
120
Suppose 7*n = 8*n + 85. Let g = 90 + n. What is the lowest common multiple of 3 and g?
15
Suppose 4*a = -12 + 20. Let d be 2 + -4 + (a - -40). Suppose 2*t = d - 0. Calculate the least common multiple of 20 and t.
20
Suppose -g + 7 = 3. Suppose -2*p = 4*z + 2, -4 = -4*p - 24. Suppose z*i = t, -2*t = 4*i - 0*i - 16. What is the smallest common multiple of i and g?
4
Let k(s) = -s**2 - 16*s + 5. What is the smallest common multiple of k(-14) and 69?
759
Let a be (-2)/(-4) + 6/4. Suppose -7*f - 144 = 5*f. Calculate the common denominator of -133/6 and (187/f)/(-11) - a.
12
Let f(a) = 5*a**2 - 5*a + 5. Let x be (-3)/(-6)*-4 - -4. What is the least common multiple of 21 and f(x)?
105
What is the common denominator of ((-154)/(-40))/(-2 + 1) and 53/24?
120
Let y = 2959/44520 + -10/159. Calculate the common denominator of -49/12 and y.
840
Let i(h) = -20*h**2 - 15*h - 27. Let j be i(-11). Find the common denominator of 79/78 and j/168 - (-1 + -4).
156
Suppose -146*n + 2835 = -125*n. Calculate the least common multiple of 50 and n.
1350
Let x = 83/11 + -107/11. Calculate the common denominator of 2/7 - (-502)/56 and x.
44
Suppose -m = -10*w + 6*w + 9, 3*w - 5*m + 6 = 0. Calculate the least common multiple of 7 and w.
21
Suppose q + 4 - 12 = 0. Let v be 12*(1 + 4) + (1 - 1). Suppose 0 = 4*k + 2*k - v. Calculate the smallest common multiple of k and q.
40
Let z = -21221 + 997430/47. Calculate the common denominator of -41/5 and z.
235
Let z = 66 - 71. What is the least common multiple of (-13)/(-3) + (15/9)/z and 14?
28
Suppose 0 = -0*f - 4*f + 48. Let z = 39 + -21. What is the smallest common multiple of f and z?
36
Let q = -34/33 - 3059/330. Let b = 1085 - 2163/2. Find the common denominator of q and b.
10
Let r = 5046173621273/2121531411416 - -1/471032729. Let s = r - 2/563. Let u = -35877/8 + 4478. Find the common denominator of u and s.
8
Suppose 10 = 2*d, -d = -0*w + 5*w - 55. Calculate the least common multiple of 1622 and w.
8110
Let a(v) = -6*v + 16. Let b be a(6). Let i(s) = -s**2 + 4*s - 1. Let u be i(3). What is the common denominator of (-72)/b + u + 3 and 41/6?
30
Suppose 0 = 8*g + 330 - 4074. What is the least common multiple of 10 and g?
2340
Let v = 21808/3075 - 270/41. What is the common denominator of v and -62/75?
75
Let c = -30 - -52. Let o(h) = -3*h + 15. Let x be o(-11). Suppose -2*n - x = -4*p, 0 = 4*p + 3*n - 94 + 26. Calculate the lowest common multiple of p and c.
154
Let z = -301 - -1745/6. Let q = 16123/9 + -1795. Calculate the common denominator of z and q.
18
Suppose -a + 3*s + 19 = 0, 3*a - 36 + 11 = s. Let m(r) = -r**2 - 4*r + 2*r**2 - 2*r. Calculate the lowest common multiple of 8 and m(a).
56
Suppose -2 = -5*k + 4*k. Suppose -3*t + 18 = 4*b, k*t + 22 = 3*b - 0. Let d(l) = 16*l**3 + l - 1. Calculate the smallest common multiple of b and d(1).
48
Let x = 256 - 196. What is the lowest common multiple of 30 and x?
60
Find the common denominator of (9/(-33))/((-7)/((-168)/54)) and -53/39.
429
Suppose 4*z = 8, 6*u - 3*u - 5*z - 242 = 0. Suppose -4*l + 2*a + 44 = 0, -5*l + 2 = 2*a - 44. Calculate the lowest common multiple of u and l.
420
Let s = 612 + -3587/6. Calculate the common denominator of s and (-640)/80 + (-303)/(-24).
24
Calculate the lowest common multiple of 7 and 12/(-90) - 32/(-15).
14
Find the common denominator of 334/40 + -4 - 2 and (0 - 292/(-18))*(-108)/144.
60
Let r = 6 - -6. Suppose 0 = -4*w + 2*y + r, 3*w + 2*w - 15 = -2*y. What is the least common multiple of (0 - -1)*(-4 + 5) and w?
3
Let f(j) = 4*j**2 - 13*j - 156. Calculate the smallest common multiple of f(-6) and 176.
528
Calculate the common denominator of 81/86 and -3 - (270/28)/(-5).
602
Let v be ((-89)/1212)/(1/345). Let z = -1/1212 - v. Calculate the common denominator of z and -38/3.
3
Let w be ((-8)/(-10))/((-3)/30). What is the least common multiple of 5 and (w/24)/(1/(-12))?
20
Suppose -3*q + 5*f + 58 = 0, -q = -3*f - 8 - 10. Calculate the smallest common multiple of 70 and q.
210
Let d(i) = 2*i + 24. Suppose 0*h = h - 2. What is the lowest common multiple of d(-10) and h?
4
Let a be (-766008118)/(-23460) - 5/(-15). Let n = a + -32652. Let s = 13/85 - n. Calculate the common denominator of s and -53/10.
230
Suppose d - 1044 = -d. What is the common denominator of d/15*(-1)/8 and -9/8?
40
Let h(f) = -f**3 - 7*f**2 - 2*f - 6. Let z(u) = 2*u**2 + 5*u + 5. Let w be z(-5). Calculate the smallest common multiple of h(-7) and w/12*16/10.
8
Let x(r) = r**3 - 9*r**2 + 4*r + 5. Let q be x(9). Calculate the common denominator of (q/5*-1)/1 and (-1)/(-3) - 119/14.
30
Let h(c) = -14*c - 74. Let t be h(-15). Let z = -124 + t. Calculate the smallest common multiple of 42 and z.
84
Let i be (-619)/(-5) - (-16)/(-20). What is the common denominator of i/12 - 2 - -3 and -55/9?
36
Let y(a) = -5*a**3 - a**2 + 5*a + 2. Let t be y(-2). Let j = 415/48 + 83/48. Calculate the common denominator of (1/(-2))/(t/232) and j.
56
What is the common denominator of 69/10 and (22 - 1)*2*28/(-264)?
