144
Let f be 1 - 95 - (-1 - -1). Find the common denominator of ((-4)/(-8))/((-6)/236) and (f/6)/(16/(-12)).
12
Let z be (-2 - 1) + (-154)/(-39). Let w = z - -3331/312. What is the common denominator of w and -7/16?
16
What is the common denominator of (-10)/(-4) + -1 + (-1880)/360 and 85/16?
144
Suppose -3*d + 2 + 4 = 0. What is the smallest common multiple of 3 and d?
6
Suppose 0 = 4*b + 4*z - 32, 2*b - b = -2*z + 10. Calculate the smallest common multiple of b and 1.
6
Let g = -3596 - -6813. Let v = -70751/22 + g. Calculate the common denominator of -119/12 and v.
132
Let d be (-6)/(-9) + 16/3. What is the common denominator of 22/3 and (-2)/d - 138/27?
9
Let k(s) = s**3 - 6*s**2 + 6*s - 1. Let p be k(5). Suppose -35 = -p*g + 1. What is the smallest common multiple of 6 and g?
18
Let z = 29 + -241/8. Let r = 118/5 + -53/2. What is the common denominator of r and z?
40
Let n(j) = -j**2 - 12*j - 9. Calculate the smallest common multiple of n(-11) and 10.
10
Let g = -29012/407 - -256/37. Let r = g + 1875/44. Find the common denominator of 87/20 and r.
20
Let f(t) = -t**3 - 6*t**2 + 5*t - 2. Let n = -35 - -55. What is the least common multiple of f(-7) and n?
60
Let o be (-3)/15 + (-36748)/1560. Let f = o - -38/13. What is the common denominator of -47/4 and f?
12
Suppose -2*r + 30 = 3*v, 0*r - 5*r = 0. Calculate the smallest common multiple of 2 and v.
10
Let u = -64 - -80. What is the smallest common multiple of 20 and u?
80
Find the common denominator of 1/(-3) - 1757/336 and 1/2.
16
Calculate the common denominator of 17/18 and 94/(-24) + -6 + 7.
36
Let s(d) = d**2 + 9*d + 2. Suppose 12 = 3*h, 0*k + 4*k - 5*h = 12. Let q = k + 0. What is the smallest common multiple of s(-10) and q?
24
Let q(y) = -y**2 - 14*y - 3. Let g be q(-13). What is the common denominator of 26/(-32)*(-1 + 15) and g/(-66)*57/2?
88
Suppose 2*h = 5*c + 26, -2*c + 4 = -h + 17. Let a = -5 + h. What is the lowest common multiple of a and -3*(-2)/12*14?
56
Suppose -3*c = -c + 8. Let a(s) = -s. Calculate the least common multiple of 5 and a(c).
20
Suppose -t = -5*z - 1277568, 158690 - 669710 = 2*z - 4*t. Let s be z/20 + (-6 - -4). Let b = s + 12790. What is the common denominator of -1/8 and b?
40
Suppose 0 = 5*o + 3*m - 19, m - 2 = 1. Calculate the least common multiple of o and 2.
2
Let g = 41633/2904 + -3/968. What is the common denominator of g and 37/14?
42
Let l(q) be the third derivative of -q**4/24 - q**3/6 + 2*q**2. Let v be l(2). What is the common denominator of 6 and v + (111/(-18) - 2)?
6
Let c = -8 - 0. Find the common denominator of (-681)/(-60) - 2/c and 21/2.
10
Suppose 0 = -5*f + 2*b + 7, -5*f + 3*b = -4 + 1. Let n(c) = -5*c - 1. Calculate the least common multiple of (1/(-2))/(f/(-6)) and n(-2).
9
Calculate the least common multiple of 4 and 10 + (-5 - -3) - -3.
44
Let c = 3413/16 + -214. Calculate the common denominator of c and (6/84)/(1/(-13)).
112
Let b = 36 + -10. What is the lowest common multiple of 6 and b?
78
Let x = -476/3 - -157. Calculate the common denominator of x and 2 + (-25)/(-8) + -3.
24
Let h(d) = -3*d + 1. Suppose -10 = 2*k - 2*y, 3*k + 5*y = 7*k + 25. Let u(n) = -n**3 - n**2 + n + 9. Calculate the smallest common multiple of h(-2) and u(k).
63
Let b = 49 - 23. Suppose 0 = 2*f - b - 14. Calculate the least common multiple of f and 14.
140
Let u = 40103/8 + -5001. Let z = u - -5/8. Let l = 380 - 1918/5. Calculate the common denominator of l and z.
10
Suppose -58 = -4*v + 2*i - 4*i, 2*i + 26 = 3*v. Let a = -10 - -6. Calculate the smallest common multiple of v and 5/(((-2)/a)/1).
60
Let r = -1554313 - 739316. Let s be 2/6 + r/(-198). Let q = 11587 - s. Find the common denominator of 75/16 and q.
176
Find the common denominator of -7/10 and 95/(-6) - (-5 - -2).
30
Suppose 18 = -y - 2*y. Let d be (9/(-3) + 2)*y. Let x = -4 + d. Calculate the smallest common multiple of 18 and x.
18
Let k = -70055/18494 + 3/1321. Let c = 51919/2454 - -4/409. What is the common denominator of k and c?
42
Let o(k) = -k**3 + k + 4. Let r be o(0). Suppose 15 = -5*n, -5*u - r*n + n + 1 = 0. What is the lowest common multiple of 8 and u?
8
Let k(w) = -w**2 - 15*w + 13. Calculate the common denominator of k(-12) and 15.
1
Suppose u - 33 = -2*u. Let p be (-308)/20 - (-2)/5. Let s = 23 + p. What is the smallest common multiple of s and u?
88
Let m = -50 + 59. What is the smallest common multiple of m and 2?
18
Let w = 105741/53732 + -7/1919. Calculate the common denominator of 27/20 and w.
140
Let b = 27023/19922 + 1/1423. Calculate the common denominator of 8/6*(-2)/(-48)*17 and b.
126
Suppose 162 = 4*x + 5*m + 46, 5*m + 76 = 4*x. Suppose g + x = -g. What is the common denominator of 3/g*(0 - 37) and -103/6?
12
Let f = 16 + -8. Find the common denominator of 79/18 and (-270)/f*3/(-20).
144
Suppose 5*s - 5 = -5*v, -v = -6*s + 3*s - 9. Calculate the least common multiple of 5 and v.
15
Let a(l) = 0*l - 2*l - 2 - 2. Let f(s) = -6*s**3 + s + 1. Calculate the least common multiple of a(-7) and f(-1).
30
Find the common denominator of 113/10 and (103/2 + 2)/((-13)/1).
130
What is the common denominator of -53*2/(-1)*36/(-216) and -121/6?
6
Let b be (-4)/16 - (-13)/4. Suppose 0 = -b*h - 4*m + 36, -4*h + 0*m + 38 = 2*m. Calculate the smallest common multiple of h and (2/(-3))/((-2)/30).
40
Let p = -658564679/798180 - 28/66515. Let m = 831 + p. Calculate the common denominator of 2/(-10)*5/(-18) and m.
36
Suppose h = -3*h + 8. Calculate the least common multiple of h and 6.
6
Suppose -a + 5 = -6*a. Find the common denominator of 0 + 114/(-4) + a and 35/16.
16
Let c(a) = -a**2 + 2*a + 6. Let n(p) = -10*p**3 + 1. Let v be n(1). Calculate the lowest common multiple of (-2)/(-9) - 88/v and c(3).
30
Let i(b) = 2*b**2 + 14*b - 6. What is the least common multiple of 11 and i(-10)?
594
Let s be 28*(-4 + (-76)/(-18)). Let x = s + -50/9. Find the common denominator of 40/11 and x.
33
Let d = -6 - -2. Let h = 6 + d. Suppose k + 1 = h*l + 3, 2 = k - 4*l. What is the lowest common multiple of k and 2?
2
Let s = -205/12 - -4/3. Let c be 3*4/6 + 146. Let m = 1642/11 - c. Find the common denominator of s and m.
44
Let b = 194 + -186. Suppose h - 103 = -5*o, 11 = -4*o + 5*o - 3*h. What is the lowest common multiple of b and o?
40
Let z = -256 - 691. Let s = -1939/2 - z. What is the common denominator of s and 24/11?
22
Let q(f) = -4*f**3 - 7*f**2 + 6*f - 3. Let w be q(4). Let j = 2441/7 + w. What is the common denominator of j and (-1382)/(-60) - (-1)/(-5)?
42
Let c = 1 + -1. Suppose c*f - 33 = -3*f + 2*p, -5*f + 3*p = -54. What is the lowest common multiple of f and 1?
9
Suppose 0 = -2*x - 3*x + 40. Calculate the lowest common multiple of 4 and x.
8
Let j = -51/29 - 426/203. Suppose -u = -k - k + 9, k = 4. What is the common denominator of (60/22 - u) + 0 and j?
77
Let d(j) = 7*j**2 + 0*j**3 - 2*j + 0 - 4 + 1 + j**3. What is the least common multiple of 2 and d(-7)?
22
Suppose -8*g + 7 = -g. Let v be (-1 - 0)*(-9)/3. Let d = v - g. Calculate the smallest common multiple of d and 14.
14
Let d = -4 - -6. Let f = 679 + -668. Calculate the lowest common multiple of f and d.
22
Suppose 0 = -3*r + 40 - 16. What is the smallest common multiple of 2 and r?
8
Let k = -8105/99 + 772/9. Find the common denominator of -67/8 and k.
88
Suppose 7*w - 2*w = 20. Calculate the smallest common multiple of (-3 - -2) + (-5)/(-1) and w.
4
Suppose -4*t = 5*o - 7 - 71, t + o = 20. Suppose -4*j = -8*j + 232. Let s = -38 + j. Calculate the least common multiple of s and t.
220
Let f(r) = 3*r**2 - 4*r + 3. What is the least common multiple of ((-10)/8)/(9/(-72)) and f(2)?
70
Let k = 61311676/36675 - -86/4075. Suppose 0 = -5*b + 4771 + 3569. Let q = k - b. Calculate the common denominator of 5/3 and q.
9
Calculate the common denominator of 7/16 and (3/9)/(32/1464).
16
Let b = 13 + -8. Suppose -b*n + n = -96. What is the common denominator of n and 31?
1
Let c(k) = -k**3 + k**2 + 2*k + 10. What is the lowest common multiple of 16 and c(0)?
80
Calculate the smallest common multiple of 496/48 - (-1)/(-3) and 12.
60
Calculate the common denominator of (-1 + 28)*(-9)/(-63) and 40/11.
77
Let b = -108 + 63. What is the common denominator of 83/2 and 295/72 + 10/b?
8
Let u(h) = -3*h**2 - 3*h + 5. Let z be u(2). Let m = -