
Let m = -10 - -13. Suppose 6 = 5*r + 4*c - 42, -3*r = -m*c - 18. Calculate the lowest common multiple of r and 12.
24
Let p = -56 - -67. What is the lowest common multiple of 3 and p?
33
Let s(p) = 2*p**2 + 4*p - 8. Calculate the least common multiple of s(-4) and 18.
72
Let u(s) be the third derivative of -s**4/24 + s**3 - 9*s**2. Calculate the smallest common multiple of 5 and u(-5).
55
Calculate the common denominator of 34 and 1305/(-10)*(-3)/(-18).
4
Let x(t) = -t**2 - 12*t + 5. Let g be x(-12). Suppose 35 = g*c + 3*f, 2*c - 4*c = 2*f - 10. Calculate the lowest common multiple of c and 8.
40
Let t = -219073/16 - -13697. Calculate the common denominator of -23/8 and t.
16
Let z = 6723 - 67283/10. Find the common denominator of -49/2 and z.
10
Suppose -12 = -4*q + 3*q. Calculate the least common multiple of q and 22.
132
Let t be (10/3)/(24/(-108)). Let v = -7 - t. Let c(h) = h**3 - 5*h**2 + 6*h - 2. What is the least common multiple of v and c(4)?
24
Suppose -5*y + 10 = -0. What is the smallest common multiple of y and 6?
6
Let m = -1/8488 + -335271/42440. What is the common denominator of m and -27/22?
110
Calculate the common denominator of (325/(-35))/(72/14)*-2 and -137/36.
36
Suppose -3*k + 62 = -43. Suppose -83 = -4*x - k. Let f = 13 - -5. What is the least common multiple of x and f?
36
What is the common denominator of 15/28 and 1/(-5) + (-666)/120?
28
Let k = 4 + -3. Let g be k/31500*118*-4449. Let t = -1/1750 + g. What is the common denominator of t and -67/8?
24
Let y be (7/(-25))/(2/(-5065)). Let w = -1253 + 1963. Let j = w - y. Calculate the common denominator of j and 49/8.
40
Suppose -3*f + 1550 = -20737. Let n be (-2 - f)/(3/(-2)). Let y = n + -59387/12. Find the common denominator of y and -87/22.
132
Suppose 43 = 5*i + 4*u, -22 + 58 = 4*i + 4*u. Suppose -i*n = -2*n - 3*m - 70, 3*n = 3*m + 48. Calculate the lowest common multiple of 5 and n.
55
Let h = 17 - 14. Suppose o - 19 - 12 = -2*v, -57 = -h*v - 5*o. What is the smallest common multiple of 2 and v?
14
Suppose -16 + 60 = 4*a. Suppose -5*o = -4*n - o + 12, 5*n = 2*o + 9. What is the least common multiple of a and n?
11
Let y(n) = 4*n**2 - 7*n + 5. Let u be y(4). Let b = -23 + u. What is the common denominator of b and 95/6?
6
Let s(h) = h**2 - 3*h + 2. Let f(l) = -l**2 + 6*l - 4. Let c be f(6). Calculate the smallest common multiple of s(c) and 16.
240
Suppose -3*r = 5*x + 180, -7*r - 300 = -2*r - x. Let u = 415 - 131. Find the common denominator of -4 and u/r*6/(-4).
10
Let k(m) = -2*m + 3. Let u be k(-6). Let v(h) = -h**2 - 8*h - 3. Let a be v(-7). Suppose z = a*z - u. What is the lowest common multiple of z and 10?
10
Let a = 2891/138 - -5/23. What is the common denominator of (-1)/5*-19*2 and a?
30
Let h(s) be the third derivative of 0*s - 1/3*s**3 + 0 - 1/60*s**5 - 7/24*s**4 - s**2. What is the lowest common multiple of 2 and h(-3)?
10
Calculate the smallest common multiple of 15 and (-8 - -7 - 17)*(-4)/6.
60
Let a = -1 + -12. Let s(i) = -i**3 - 6*i**2 - 4*i - 3. Let t be s(-6). Let o = a + t. What is the smallest common multiple of o and 4?
8
Let j(n) = -n**3 - 2*n**2 + 6*n + 11. Calculate the smallest common multiple of j(-3) and 13.
26
Let m(z) = -z**3 - 3*z**2 + z - 1. Suppose 0 = 3*r - 5*k + 17, 15 = -2*r - 2*r - k. Let g(n) = -n - 1. What is the smallest common multiple of g(-8) and m(r)?
77
Suppose -2*j = -8, 4*j - 5 = -2*d - 1. Let w = d + 13. Calculate the lowest common multiple of 7 and w.
7
Let f = -2 + 0. Let s be -2 + -2 + (7 - -1). Let d = s + f. Calculate the least common multiple of 18 and d.
18
Suppose p + 28 = 3*p. What is the lowest common multiple of 48 and p?
336
Let f = 101479/16 + -6340. Calculate the common denominator of (-4)/(-14) + (-2286)/(-672) and f.
16
Suppose -m = -47 - 15. Calculate the common denominator of 9/8 and (m/(-110))/((-6)/(-15)).
88
Let t(r) = 3*r**2 - 4*r + 4. Calculate the lowest common multiple of t(2) and 3.
24
Let g be -25 - (-1 + -4 + 4). What is the common denominator of 43/10 and 3/10*632/g?
10
Let j = -96 - -53. Calculate the common denominator of 19/6 and (j/55)/(2/5).
66
Let c be (-24591)/2590*1/3. Let r = c + -1/555. Calculate the common denominator of 33/7 and r.
42
Let j be -1 + (-112668963)/36 - 1. Let a = -3131604 - j. Let n = a + 1900. Calculate the common denominator of -65/14 and n.
84
Suppose -58 = -3*r + 50. Calculate the least common multiple of (4 - 1)/(6/16) and (3 - 4)/((-2)/r).
72
Let m = 219 - 210. Calculate the lowest common multiple of m and 11.
99
Suppose 0 = -j + 5*z + 57, 2*j + j = 5*z + 121. Let s = -16 + j. What is the smallest common multiple of s and 6?
48
Let n = -11923/24 - -1983/4. Find the common denominator of n and 71/42.
168
Let j(g) = -g - 1. Suppose 5*b - 145 = -5*q, b - 8 = -4*q + 15. Suppose -3*n = 4 - b. Calculate the smallest common multiple of j(-4) and n.
9
Suppose -3*o + 19 = -2*k - 22, 0 = -3*o + 5*k + 53. Calculate the least common multiple of o and 15.
165
Let g = 11/4 + -1. What is the common denominator of (-1)/(-4) + 87/84 and g?
28
Let p = -24763/1476 + 10/369. Find the common denominator of p and -87/8.
8
Let f(h) = -2*h**2 - 3*h - 4. Let a be f(4). Calculate the common denominator of -27/7 and (a/(-105))/(8/20).
7
Suppose 5 = 5*r, k - 5*r = -4*k + 195. What is the lowest common multiple of k and 40?
40
Let a be (-4 + -3)*10/(-35). Suppose -3*h + a*h = -36. What is the common denominator of (7/15)/(1/(-3)) and h?
5
Calculate the lowest common multiple of 30 and 63/3 - (-2*3 + 2).
150
Let a(s) = -4*s + 2. Let h be a(-3). Suppose -38 = 3*n - h. What is the common denominator of 2/n - 285/40 and -2/11?
88
Let n(t) = -t - 219. Let x be n(0). Let v = -740 - -5929/8. What is the common denominator of v and ((-2)/6)/(3/x)?
24
Let v = 38 + -68. Let i be (8/(-10))/(3/v). Calculate the lowest common multiple of 5 and (10/4)/5*i.
20
Suppose -q = 3*q - 5*b - 421, -4*b - 218 = -2*q. Find the common denominator of (2 + -3)*(-145)/(-20) and q/30 - (2 - 2).
20
Let y = -337/5 + 141/2. Find the common denominator of y and 304/(-44) + 4 + 0.
110
Suppose -13 = -2*a + 5*j, 2 = 3*a - j - 11. Find the common denominator of 113/20 and (8/(-96))/(a/(-51)).
80
Let g(x) = -3705785*x**2 + 6*x + 3. Let o be g(-4). Let c = 89650395965/1512 + o. Let r = c - -38/189. Calculate the common denominator of -17/9 and r.
72
Find the common denominator of 15/8 and (9/5)/((-51)/(-10)).
136
Let r(f) = f**3 - 5*f**2 + 3*f + 7. What is the smallest common multiple of r(5) and 8?
88
Suppose -3*l = -2*a - 18, 6 = 2*a - 0. Let p = -7 - -13. What is the lowest common multiple of p and l?
24
Let t be (-3 - 1)/(1/6). Find the common denominator of (5/((-5)/t))/7 and 124/6 + (4 - 2).
21
Calculate the common denominator of (-1 - 1/(-4))*-26 and 7/2.
2
Let c(n) = n - 2. Let a(b) = b**3 + 29. Let h be a(0). Suppose -2*q = -w - 21, 0*q + 3*q - h = -w. What is the lowest common multiple of q and c(5)?
30
Let x(g) = -3*g + 1. Suppose 3*h + 4 = -5. Let y(q) = -q**3 - q**2 - q + 12. What is the smallest common multiple of y(0) and x(h)?
60
Let m be (-21)/84 - (-20170)/8. Let r = m - 10019/4. Let h = 5237 + -104671/20. Calculate the common denominator of h and r.
20
Suppose 2*f = 3*q - 12441, -2*f + f + 5*q = 6224. Let g = 49821/8 + f. What is the common denominator of -101/20 and g?
40
Let n = 405/22 + -2455/99. What is the common denominator of n and 37/(-8) + -1 + 1?
72
Let f = 3261/134 - -11/67. Let t = -32185/8 + 4014. What is the common denominator of t and f?
8
Let u be (-1)/3 + 664/4422. Let c = -6/67 + u. Calculate the common denominator of c and (-4)/9*696/(-64).
66
Let x = -15/218 + -4407/109. What is the common denominator of x and 86/21?
42
Let m = -114 + 166. Calculate the lowest common multiple of m and 2.
52
Let i be 35*(-1)/1 - 2. Let a = i + 59. Suppose r - 7 = -3*g + 26, 2*g = -4*r + a. What is the smallest common multiple of 8 and g?
88
Suppose -3*p + 3*l = -3, 3*p = -4*l + 12 - 2. Calculate the smallest common multiple of p and 12.
12
What is the smallest common multiple of -116*(0 - (-2)/(-8)) and 10?
290
Calculate the common denominator of 9/(-8)*1 - (1 - 3) and 91/44.
88
Let u be 1/2*(-8)/(-1). Let g = 2 + u. Calculate the least common multiple of g and 4.
12
Let c be (-14876)/(-2)*(-1)/156