56
Let i(v) = v + 10. Let g be i(0). Let w = 1 - g. What is the smallest common multiple of 20 and (-13)/(-5) - w/(-15)?
20
Let v(i) = 2*i + 4. What is the least common multiple of 15 and v(1)?
30
Calculate the common denominator of 2/1 + (-53)/8 and 1 - (-3 - (-35)/4).
8
Suppose -v = -4*u - 0*u - 22, -15 = 3*u. Calculate the common denominator of 91/12 and -1 - -138*v/(-40).
60
Suppose 0 = -5*p + 15, -p = 4*z - 36 - 7. Let i(h) = -4*h**2 - 1 - 2*h**2 - h**3 - 2*h + h**2. What is the smallest common multiple of i(-5) and z?
90
Suppose 0 = -3*y + 4 - 1. Let r(h) = 3*h**2 - 2*h - 4. Let z be r(3). Let q = z + -10. Calculate the smallest common multiple of q and y.
7
Let q = -142488/4151 + 24/593. Let b be -1 + (-2)/(168/(-4714)). Let o = q + b. Calculate the common denominator of o and 121/10.
30
Let h = -1091/3 - -371. Let v be 4/3*6/(-2). Let c(g) = 11*g + 2. Calculate the common denominator of c(v) and h.
3
Suppose 11 = -2*h + 51. Suppose -5*v = 2*z - h, 12 = 3*v - 3*z + 2*z. What is the common denominator of -45/16 and 2/v - (-17 + -5)?
16
Let l = 14 + -4. Calculate the smallest common multiple of 4 and (l/(-3))/(3/(-9)).
20
Suppose 0 = 4*k + g + 21, -2*k + 2 - 7 = -5*g. What is the common denominator of 91/4 and ((-66)/(-9))/(k/6)?
20
Let h = 7 + -5. Suppose -4*d + 73 = 5*f, -4*d + f + h*f + 33 = 0. Calculate the least common multiple of d and 8.
24
Suppose 3*f = 4*z + 18, -2*f + 26 = 3*z - z. Let n be 2*-49*(-4)/8. Let l = n + -35. Calculate the lowest common multiple of l and f.
70
Let w = -202 + 2015. Suppose w = 5*h - 4*h. Let y = h - 29039/16. Find the common denominator of y and -101/18.
144
Let q(d) = d**3 + 4*d**2 - 23*d - 10. Calculate the least common multiple of q(-7) and 36.
36
Suppose 3*h - h = 54. What is the lowest common multiple of 15 and h?
135
Let z = 24603/8 + -3081. What is the common denominator of z and 316/(-6)*(-3 + (-285)/(-100))?
40
Let s = -69 + 141/2. What is the common denominator of s and -93/4?
4
Suppose 91 - 7 = 4*l. Suppose -p + 27 = 3*p - 3*g, 0 = 2*p + g - l. What is the lowest common multiple of p and (-70)/(-8) + (-2)/(-8)?
9
Let k(i) = i - 1. Let s be k(6). Suppose 2*w + 54 = s*w. Suppose 0*l + 30 = 4*l + 3*x, 2*l - 4*x = 4. Calculate the smallest common multiple of l and w.
18
Let d = 11 + -3. Suppose 3*s = 4*n + 23, -4*s + 2*s = n + 3. Calculate the lowest common multiple of s and d.
8
Let f = -3 + 4. Suppose -3 = -2*q + f. Suppose -5*y + 38 = -2*y - q*t, -46 = -3*y + 4*t. What is the lowest common multiple of 10 and y?
10
Let z be (-10126)/8 - 5/10. Let v = -1277 - z. Calculate the common denominator of -101/4 and v.
4
Suppose -82 = -4*o - 26. Calculate the lowest common multiple of 1 and o.
14
Let w(p) = 2*p**2 - 2*p - 29. Calculate the smallest common multiple of w(-4) and 12.
132
Suppose 2*b + 3 + 1 = 0, 2*v - 5*b - 6 = 0. Let a be v + 461/(-6) + -1. Let p = 5099/60 + a. Calculate the common denominator of p and 77/16.
80
Let j(f) = -f - 8. Let c be j(-4). Let l = c - -5. Suppose -l = -m + 3. What is the least common multiple of 1 and m?
4
Suppose 4*o + 5 - 237 = 0. Find the common denominator of 21/5 and -3 - 7/((-77)/o).
55
Let o be -2*(5153/(-104) - -1). Let y = 986/13 - o. Find the common denominator of y and -24.
4
Let r = -8006/7 + 1148. What is the common denominator of r and -5/11?
77
Let a = -351/14 - -452/7. Find the common denominator of a and -17/50.
50
Suppose 0*g + 208 = g. Suppose 4*c + 4*l + g = 0, -3*c + l - 111 - 45 = 0. Find the common denominator of 25/7 and (c/30)/(6/(-30)).
21
Suppose -23 + 8 = -5*t. Suppose t*f - 7 = f - 5*i, 0 = -3*f + 3*i + 21. What is the least common multiple of ((-2)/5)/((-1)/10) and f?
12
Let h = -2 + 17. Suppose -n = -2*n - 4*z + 19, h = 5*z. What is the smallest common multiple of 1 and n?
7
Let w(v) = v**3 - 9*v**2 + v + 1. What is the lowest common multiple of 16 and w(9)?
80
Suppose -22 - 28 = -2*a. Find the common denominator of a and 207/(-30) - (0/3 + 3).
10
Let d(c) = 8*c + 7. Let t be d(-5). Calculate the common denominator of (-1570)/44 - 6/t and 1/8.
8
Let b = 10 + -8. Let o(m) = 2*m**2 - 3*m + 2. What is the smallest common multiple of 22 and o(b)?
44
Find the common denominator of -55/14 and (-24)/156 - (-1142)/156.
42
Let z be (-186)/423*(-111)/(-16). Let f = z - 168/47. Calculate the common denominator of f and 7/2.
8
Calculate the least common multiple of 31 - (-2 - -1) - (-2)/(-1) and 12.
60
Let m = 4 - 3. What is the least common multiple of -1 - -7 - (-1 - -2) and m*(-14)/2*-1?
35
Suppose 2*h = 4*h - 314. Suppose l = -222 - h. Let z = l + 2637/7. Find the common denominator of z and 83/4.
28
Let k(p) = p. Let z be k(3). Suppose z*r - 42 = 2*j - 5*j, -2*r = j - 25. Calculate the lowest common multiple of r and 3.
33
Let d(l) = -2*l - 5. Let n be d(-6). Suppose -2*j + n - 1 = 0. Suppose 4*w = j*w + 8. What is the lowest common multiple of 12 and w?
24
Let y = 9309/28 + -2476/7. Calculate the common denominator of y and 69/16.
16
Suppose -5*p + 0*p = 0. Suppose -2*q - 5*y + 57 = p, -q + 0*y + 26 = 2*y. What is the lowest common multiple of q and 10?
80
Suppose 20 = 2*b + 2*b. Suppose -f - 5*i + 768 + 1799 = 0, -b*f + i = -12783. Let a = f - 15391/6. What is the common denominator of 31/14 and a?
42
Let n(x) = 3 + 4 - 3 + 4*x - 2*x. What is the least common multiple of n(5) and 14?
14
Suppose 0 = 5*o - 5*s - 55, -2 + 1 = -2*o - 5*s. Let r = -1 + o. Calculate the least common multiple of 2 and r.
14
Calculate the common denominator of -71/3 and 222/(-42) - 5/((-10)/(-4)).
21
Let h = 9213/3760 - 3/235. Calculate the common denominator of h and -35/8.
16
Let m be (412/12)/((-10)/(-3)). Let d = -14/5 + m. Calculate the common denominator of (-54)/40 + -1 + 0 and d.
20
What is the lowest common multiple of 9 + (-9)/6*-2 and 30?
60
Suppose -2*s - s - 2*l = -54, 0 = s - 3*l - 29. What is the lowest common multiple of (-2)/3 + s/3 and 11?
66
Let a(m) = m**2 - 8*m - 6. Let d be a(9). Suppose 4*v - 2 = d*z, 2*v - 4 = -z + v. Calculate the least common multiple of z and 5.
10
Let f(j) = 7*j - 3. Let g be f(-11). What is the common denominator of -47/4 and (-6)/10 - (-102)/g?
8
Let x = 37301/1844 - -10/461. Find the common denominator of (-16)/12*(-95)/8 and x.
12
Let r be 15/(-1)*1/(-3). Suppose -r*m = -30 - 10. Calculate the least common multiple of m and 3.
24
Let x = 18 + -29. Let i = x - -17. What is the least common multiple of 14 and i?
42
Let r(i) = 4*i - 1. Let u(d) = 12*d - 2. Let x(g) = 7*r(g) - 2*u(g). Calculate the smallest common multiple of x(3) and 8.
72
Let o = -32/15 + 14323/6735. Let d = 2278/4939 + o. Calculate the common denominator of -7/3 and d.
33
Let y = -1/725 - 10581/2900. What is the common denominator of y and -93/14?
140
Let k = 411042717667347/1476280 - 4733333723/17. Let j = -2/10855 + k. Let q = -62187/20 - -3110. Find the common denominator of q and j.
40
Let o(c) = -1 - 2 + 6 + c**2. What is the smallest common multiple of o(0) and 9?
9
Let b(k) be the second derivative of k**5/20 + 2*k**4/3 - 11*k**3/6 - 6*k**2 + 4*k. Calculate the smallest common multiple of 2 and b(-9).
6
Let w = -295849/20 + 14789. What is the common denominator of 103/14 and w?
140
Let d(o) = -o + 12. What is the smallest common multiple of (2/8)/((-11)/(-88)) and d(5)?
14
Calculate the smallest common multiple of 12*((-16)/12)/(-1) and 8.
16
Calculate the common denominator of (-3)/18*(-177)/(-3) and 76/40 - (-4)/(-10).
6
Let m be (-80)/6*36/(-12). What is the common denominator of 7/10 and (-16)/m - (1 - -2)?
10
What is the smallest common multiple of 2/6 + 119/21 and 2?
6
Let i(t) be the third derivative of -t**4/6 + t**3/3 - 4*t**2. What is the least common multiple of i(-2) and 5?
10
Find the common denominator of 44/(-3) - (-9)/18 and 51/4.
12
Let t = -589/30 + 49/5. What is the common denominator of t and (-11)/(-4)*(-56)/12?
6
Suppose 2*s + 5*z + 6 - 3 = 0, 5*s - 2*z - 36 = 0. Suppose -o - 4*o + 70 = 0. What is the lowest common multiple of o and s?
42
Let f(u) = u**2 + 2*u - 4. Let s(d) = d + 10. Let l be s(-6). Calculate the lowest common multiple of 2/(-7) + (-172)/(-14) and f(l).
60
Let r(d) = d**2 + 11*d - 17. Let o be r(-12). Let k(a) = 7 + a**2 + 0*a + 0*a**2 + 6*a. What is the smallest common multiple of k(o) and 20?
20
