 6*j - 4. Suppose -4*q + r = -20. Suppose -5*v = -4*v - 16. What is the least common multiple of v and q?
48
Let v = -36 - -51. Calculate the smallest common multiple of 27 and v.
135
Suppose -65 = 2*n - 97. Calculate the smallest common multiple of 4 and n.
16
Let o = -22 + 46. What is the least common multiple of o and 18?
72
Find the common denominator of 12/106*44/6 and 2/3.
159
What is the common denominator of 2/28*5*(-11)/(-2) and -125/36?
252
Let v(j) = j**3 + 4*j**2 + j + 1. Let b be v(-3). What is the common denominator of -93/16 and b/49 - 86/(-84)?
48
Let c(o) = -o**2 - 7*o - 2. Let k be c(-7). Let w be ((-34)/(-8))/(k/(-74)). Let g = w + -155. What is the common denominator of -21/4 and g?
4
Suppose -3*r + 23 + 6 = -4*w, -3*w - 21 = -3*r. Let v be (-4)/(-6) - (-34)/(-6). Let z = v - w. What is the least common multiple of 9 and z?
9
Let a = -4890 + 58567/12. What is the common denominator of -123/20 and a?
60
Let r(x) = -2*x - 20. Calculate the least common multiple of r(-11) and 6.
6
Let o = -78/11 + 125/44. What is the common denominator of 103/6 and o?
12
Let g = -619 + 2461/4. Let u be (-3163)/(-6) - (-3)/9. Let m = u - 506. What is the common denominator of g and m?
4
Let f = 4219 - 33661/8. Find the common denominator of f and 101/8.
8
Let x = -1943/6 - -321. Find the common denominator of 51/2 and x.
6
Let m(u) = -6*u**3 + 4*u**2 - u - 7. Let i(c) = -5*c**3 + 4*c**2 - 6. Let n(x) = -5*i(x) + 4*m(x). What is the least common multiple of n(5) and 6?
42
Let r = -12 + 34. Calculate the lowest common multiple of 12 and -5 + r + (-9)/(-3).
60
Calculate the smallest common multiple of 11 and 3/3 + 2 - -4.
77
Let b(f) = -f**2 + 4*f + 4. Let d be b(5). Calculate the common denominator of 4/3 and ((-16)/12)/(d/11).
3
Let c be 576/7 - (-2)/(-7). Suppose 3*n + 53 = -c. What is the least common multiple of n/(-6) - 1/(-2) and 18?
72
Let n(h) be the first derivative of -h**2/2 - 2*h + 3. Let w be n(-6). What is the common denominator of -89/4 and (24/20)/(w/25)?
4
Let k = -42613/8 - -5315. Calculate the common denominator of k and -29/5.
40
Let w(a) = a**2 + 5*a - 4. Let m be w(-6). Suppose -v + 5*v = -3*c - 78, 2*c - m*v = -66. Calculate the least common multiple of c/(-1 - 1) + 1 and 18.
144
Let t(b) = b**3 - 7*b**2 + 7*b + 8. Calculate the smallest common multiple of 8 and t(6).
56
Find the common denominator of 0 + 339/40 - 54/(-135) and (-178)/24 - -1*2.
24
Let q(m) = m**3 - 5*m**2 - 3*m. What is the lowest common multiple of 20 and q(6)?
180
Let w = -54 + 34. Calculate the least common multiple of ((-45)/20)/(9/(-24)) + -4 and w*((-9)/5 + 1).
16
What is the smallest common multiple of 22 and ((0 - -3) + (22 - 3))/1?
22
Let z(g) = -76188*g**3 + 2*g**2 - 2*g + 7. Let s be z(-6). Let q = s + -263209313/16. Let y = q + -6119. Find the common denominator of -53/16 and y.
16
Let v(y) = y - 4. Let x be v(-5). Let m = x - -17. Calculate the least common multiple of 4 and m.
8
Suppose -4*v - 3*h + 6 = 0, h + h - 11 = -5*v. Let y(o) = 4*o - 2 + v - 3*o + 4. What is the least common multiple of 11 and y(6)?
11
Let j = 19 + -10. Let d = j + -8. Let a = 2 + d. What is the lowest common multiple of a and 2?
6
Suppose 3*w - w = 44. Suppose -20 = -5*f - 0. Calculate the smallest common multiple of w and f.
44
What is the smallest common multiple of 42 and 0 + (-8)/20 + (-144)/(-10)?
42
Find the common denominator of 710/(-360) + (-1)/4 and -17/3.
9
Let u(h) = -4*h - 52. What is the least common multiple of u(-15) and 142?
568
Suppose -3*o + 25 = -8*o, 3*x - 32 = 4*o. Calculate the smallest common multiple of x and 4.
4
Let b = 495827/7 - 71129. Let p = 40 - -260. Let s = p + b. Find the common denominator of s and -53/7.
7
Let h = -1417/5 - -290. Let n be (917/(-21))/((-1)/11). Let z = n + -487. Find the common denominator of z and h.
15
Let a(s) = -s**3 - s**2 + s + 30. Calculate the lowest common multiple of 30 and a(0).
30
Let p(m) = 10*m - 10. What is the least common multiple of p(3) and 16?
80
Suppose 2*t + t - 3*r - 21 = 0, 3*r - 28 = -4*t. Let g(w) = 4*w - 6. Calculate the lowest common multiple of 14 and g(t).
154
Let z be -40*((-3)/2 + 1). Let g = z - 65. Find the common denominator of g and 34/7.
7
Let f(i) = -1 - 4*i + 30*i**2 - 26*i**2 + 2*i. What is the least common multiple of f(2) and 7?
77
Let t = -2/2335 - 100389/18680. What is the common denominator of (7/(-84))/(1/(-7)) and t?
24
Suppose 5*i - 16 = -5*r + 54, 5*i + 2*r - 76 = 0. Calculate the smallest common multiple of 12 and i.
48
Let r = 78 + 106. Let l = 323209/1854 + 5/1854. Let o = l - r. What is the common denominator of -24/5 and o?
15
Let u(c) = -2*c - 3. Let w(y) = y**3 - 4*y**2 - 7*y + 6. Let b be w(5). What is the smallest common multiple of 11 and u(b)?
55
Suppose -r + 28 = 3*r. Suppose 3*v + 120 = 15*v. What is the least common multiple of v and r?
70
Let a(j) = j**2 + 7*j - 4. Calculate the lowest common multiple of a(-9) and 4.
28
Let y = 0 + 6. Suppose -2*s - y*a + 69 = -a, 5*s - 132 = a. Suppose -4*d = -d - s. What is the least common multiple of d and 1?
9
Let x(k) = 3*k - 10. Calculate the lowest common multiple of 20 and x(10).
20
Let x(z) = 4*z + 2. Let u be -2*(5/(-2) + 0). What is the smallest common multiple of x(u) and 20?
220
Let v = -79765/18 - -4433. Suppose 5 = -2*i + 3*x, 2*i + 5*x = 5*i + 9. What is the common denominator of i/(-12)*(-86)/(-4) and v?
36
Suppose -2*h + 50 = 5*v, 0*h + 3*h - 10 = -v. Let x be 5/(-2)*(-16)/20. Let o = x + v. What is the least common multiple of 20 and o?
60
Suppose -5*j - b - 41 = 0, j + 10 = -b - b. Let g = 19 + j. What is the smallest common multiple of 1 and g?
11
Let x = -2 - -9. Let s(m) = -4*m + 3. Calculate the smallest common multiple of s(-2) and x.
77
Let x(v) = 5*v. What is the lowest common multiple of 4 and x(4)?
20
Let b(g) = 2*g + 5 + 22 + 0. What is the smallest common multiple of b(-11) and 3?
15
What is the common denominator of 43/5 and (100/(-165))/(1/6)?
55
Let f = -564 + 207. Find the common denominator of 3/22 and 3/(-3) - f/(-36).
132
Let i be (-1)/(-2 - -3) + 11. Let o be i/14 - 6/(-21). Suppose -5*w + 6 = o. Calculate the least common multiple of w and 7.
7
Let o(r) = 3*r**3 - 3*r**2 - r - 1. Let p be o(-2). What is the common denominator of (-10)/p - (-859)/(-42) and -113/10?
30
What is the lowest common multiple of (-9 + -1)/((-3)/9 + 0) and 30?
30
Calculate the smallest common multiple of -4 + 88/14*(-154)/(-44) and 12.
36
Let u = -145491/16 - -9098. Calculate the common denominator of u and 113/10.
80
Suppose 4*c - 464 = 8*c. Calculate the common denominator of -43/22 and ((-9)/2)/(12/c).
22
Let j(u) = -8365*u**2. Let t be j(1). Let q = 83541/10 + t. What is the common denominator of q and 63/20?
20
Suppose a - 16 = 2. What is the smallest common multiple of 220 and a?
1980
Suppose 0*f = f + 3*m + 870, -4*f = 4*m + 3520. Let j be 2/26*f/(-4). Let h = j + -114/13. Calculate the common denominator of 73/8 and h.
8
Let i be 4/3*(-3)/(-2). Suppose -i*h + 1 = 2*o - 15, 3*h - 24 = 3*o. Calculate the common denominator of (1/7)/(h/(-316)) and -149/6.
42
Find the common denominator of (-1 - (-4 - -1)) + (-128)/6 and -11/8.
24
Let l = -53 + 35. Let m be 12/l - 1111/158. Let c = m - -5/158. Calculate the common denominator of c and 55/9.
9
Suppose 29 = 5*c - 21. Calculate the lowest common multiple of 16 + 0 + (-24)/12 and c.
70
What is the least common multiple of 10 and 21/6 + (-4)/(-8)?
20
Let o(d) = -4*d - 12. Let b(j) = j**2 + 6*j + 5. Let g be b(-6). Suppose -42 = g*q - 2. Calculate the least common multiple of o(q) and 8.
40
Let n be (11685/(-9) - -2)*3. Let d = n + 9617. Let q = -114607/20 + d. What is the common denominator of q and 47/18?
180
Let d = -36 - -54. Find the common denominator of 97/4 and d.
4
Calculate the common denominator of 0 - 3 - 158/(-16) and 38.
8
Suppose 4*v + 2*d + 110 = 0, -2*v - 2*d - 5 = 45. Let a = -22 - v. Calculate the lowest common multiple of 20 and a.
40
Let n(l) be the first derivative of 20*l**3/3 + l**2/2 + l + 2. Let x be 5/(-15)*(1 - -2). Calculate the lowest common multiple of 16 and n(x).
80
Suppose -5*f + 46 = 4*g, 2*f + 4*g - 7 = 9. Calculate the smallest common multiple of f and 18.
90
Let p be ((-1)/3)/((-4)/24). Suppose 0 = q - 3*i - 15, 