
40
Let p = -3 + 5. Suppose 0 = 4*i, -12 = -0*n - n - 2*i. Calculate the least common multiple of n and p.
12
Let i(p) = 2 + 3*p + 0*p - 2*p. Calculate the smallest common multiple of 7 and i(6).
56
Let g = 133261/32 + -4165. Find the common denominator of g and -63/16.
32
Let s(z) = -z + 19. Let c be 16/(-6)*(0 + -3). Calculate the lowest common multiple of 1 and s(c).
11
What is the least common multiple of (30/(-5) - -5) + 40 and 6?
78
Let s be ((-1)/(-24))/((-1)/(-119726)). Let q = -4982 + s. Find the common denominator of q and 5/12.
12
Let x = -33405118451/11942175 - -9036302/3225. Let f = x + -2/2645. What is the common denominator of f and 7/3?
21
Let c = 8 + -14. Let s(m) = 5 + m - 3 + 1 + 5. Calculate the smallest common multiple of s(c) and 4.
4
Let c(d) be the third derivative of -d**5/60 + 7*d**4/24 - d**3/6 - 10*d**2. Calculate the lowest common multiple of c(5) and 8.
72
Let v = 18292/9 + -2037. Calculate the common denominator of v and (-51)/(-136) - 482/(-80).
45
Suppose 4*y + 3*f - 28 = 0, 4*f + 38 = 3*y + 2*f. What is the smallest common multiple of y and 16?
80
Let n = -2/10609 - -615332/53045. Let h = 4712 - 37763/8. Find the common denominator of n and h.
40
Let r = -4 + 7. Suppose 0 = r*m - l - 60, 0 = 3*m - 5*l - 10 - 50. What is the least common multiple of m and (6/(-5))/(6/(-80))?
80
Let w = -16 + 18. Let f(o) = o**3 - 3*o**2 + 2*o - 2. Calculate the least common multiple of f(3) and w.
4
Suppose 6 = 24*j - 22*j. What is the smallest common multiple of j and ((-15)/(-9))/(1/3)?
15
Suppose 3*t = -8 - 4. Let b be (t*1)/((-6)/9). Suppose 5*l = -0*i + 4*i + b, 5*i = 5*l - 5. What is the lowest common multiple of i and 4?
4
Let q = -3131/266 + 111/19. Find the common denominator of q and -17/16.
112
Let q(h) = 41*h + 1. Let n be q(1). Suppose -6 = 2*i - 5*i, n = -3*y + 3*i. Let t = y - -28. Calculate the least common multiple of 2 and t.
16
Let p = -17 + 39. Suppose -2 + 3 = -u. Let y(h) = -17*h - 1. What is the smallest common multiple of y(u) and p?
176
Calculate the lowest common multiple of 44 and (0 + 3)/(13/52).
132
Let f(o) = o**2 - o - 2. Let m(u) = -3*u. Let v be m(1). What is the least common multiple of 2/4 - 105/(-6) and f(v)?
90
Suppose -60 = 5*c - 3*c. Find the common denominator of -61/15 and c.
15
Let x be (-3102)/728 + 2 + -3. Let w = 1/91 + x. Calculate the common denominator of -4/3 and w.
12
Suppose -19 - 10 = -5*z - 3*l, -5*l = -z + 17. Calculate the smallest common multiple of 8 and z.
56
Let y(i) = -i**2 - 5*i + 3. Suppose j - 10 + 2 = 2*r, -5*j + 4*r + 28 = 0. What is the smallest common multiple of j and y(0)?
12
Let y = -26671/168 + 2299/14. Find the common denominator of 169/30 and y.
120
Let n = 44 - 32. Calculate the smallest common multiple of n and 15.
60
Let x = -5261/6 + 881. Let m = 10567/20 - 523. Calculate the common denominator of x and m.
60
Let z = 26915/8 + -3358. Calculate the common denominator of z and -101/50.
200
Let d = 2/16373 - -87153461/147357. Let a = 593 - d. Find the common denominator of 2/3 and a.
9
Let s(y) = y**2 + 23*y - 45. What is the least common multiple of s(-26) and 3?
33
Calculate the smallest common multiple of 9 and 12/(-9) + (-30)/(-9).
18
Let l(q) = q**3 + 9*q**2 + 8*q - 2. Let a be l(-8). Let v be (3/a)/(2/12). What is the lowest common multiple of ((-3)/v)/(2/66) and 7?
77
Suppose -3*a - 13 = -6*a - 5*q, -4*a = -5*q - 29. Calculate the lowest common multiple of 2 and a.
6
Suppose -3*f + 58 = -62. Suppose 0*b + f = 4*b. Calculate the least common multiple of 1 and b.
10
Let f(u) be the first derivative of -9*u**2/2 + 3. Suppose 0*s - 5 = -s. What is the common denominator of -51/8 and f(s)?
8
Let t = -10 + 32. Let d = 36 - 24. What is the lowest common multiple of t and d?
132
Suppose -2*q + 3*a = 6*a - 18, -4*q + 46 = a. Suppose r - 3 + 2 = 0. Calculate the smallest common multiple of 94/q - (-2)/12 and r.
8
Let d(q) = -5*q + q**2 - 2 - q**2 - q**2. Suppose 5*x - 72 = -4*i, i - 5 - 13 = -5*x. What is the least common multiple of i and d(-2)?
36
Suppose 0 = -8*m + 3*m + 25. Let t = 15 - m. Suppose 2*h - 4*y = -0*h + 28, 3*y = -3*h + 24. Calculate the smallest common multiple of t and h.
10
Let h(l) = 9*l**2 + l - 2. Let o be (48/(-5))/(2/(-10)). Let w = o + -32. What is the least common multiple of h(1) and w?
16
Let h = -129141/20 + 6453. What is the common denominator of h and ((-3)/(-4))/((-12)/101)?
80
Let l be 202/((-8)/((-4)/1)). Suppose -11 = 5*n - l. What is the smallest common multiple of 4 and n?
36
Let o(l) = -195*l + 5. Let u be o(-4). Let n = u + -1613/2. Suppose 2*x = 0, -3*a - 2*a + x + 90 = 0. Calculate the common denominator of n and a.
2
Calculate the common denominator of -15/22 and ((-13)/(-30))/((-11)/297).
110
Let g be (-2)/3 + (-964)/(-1437). Let z = g - 10075/3832. What is the common denominator of (97/(-3))/(8/(-6)) and z?
8
Suppose 80 = 8*u - 144. Calculate the lowest common multiple of u and 20.
140
Let q(d) = 1 + 3*d - 2 - 2. What is the lowest common multiple of q(5) and 8?
24
Let h(r) = -r + 1. What is the lowest common multiple of 9 and h(-6)?
63
What is the common denominator of (-649)/(-14) - 2/(-14) and -59/22?
22
Suppose 3*i - 28 = -b, 2*i - 27 - 9 = -2*b. Calculate the smallest common multiple of 8 and b.
104
Let u = -14 - -30. Suppose -3 = 2*o + 3, -3*c = -o - 3. Suppose 0*b = 5*d + 3*b - 11, c = 5*b + 15. What is the lowest common multiple of u and d?
16
Let f = -167054/15 + 11129. Let n = -34260 - -1027691/30. Let k = n - f. Calculate the common denominator of 31/9 and k.
90
Let k(z) = z**2 + 6*z + 4. Let m be k(-5). Let x = 11201/6 + -1887. Find the common denominator of x and (m - -1) + (-12)/15.
30
Suppose 4*h + h = 15. Suppose -2*t + h = -3. What is the lowest common multiple of 11 and t?
33
Let p be 34/((-3 - -5)*1). Suppose -p = -3*f + 4. Suppose 3*w + 3*r = -w + f, 5*w - 2*r = 26. What is the least common multiple of w and 9?
36
Suppose 5*j + 126 = 386. What is the common denominator of -91/18 and 0 + -2 + 90/j?
234
Let g(k) = -3*k - 3 - 9 + 3*k + 4*k. Calculate the lowest common multiple of 20 and g(8).
20
Calculate the lowest common multiple of (-2)/3*((-4)/(-1) + -31) and 18.
18
Let f = -1051 - -2041/2. What is the common denominator of -31/5 and f?
10
Let d = -7 - -1. Suppose -4*h + 1 = -39. Calculate the smallest common multiple of h and (3 - d) + 1*-1.
40
Suppose 3*m + 7 = -5*g + 1, -5*g + 2*m = -4. Suppose -4*z - 5 + 13 = g. What is the lowest common multiple of 20 and z?
20
Let m = 39 + -7. Calculate the least common multiple of 12 and m.
96
Let o(u) = -u**2 - 4*u + 3. Let j be o(-4). Let a = j + 0. What is the common denominator of 1/a + 8/(-4) and -50/3?
3
Let s(v) = 2*v**3 + 2*v**2 - 3*v + 2. What is the lowest common multiple of 2 and s(2)?
20
Let d = 3990013 + -542646325/136. Let l = d + 1/136. What is the common denominator of -9/10 and l?
10
Let r = 6 + 4. Calculate the least common multiple of r and 18.
90
What is the smallest common multiple of 1 + (-5)/5 - -5 and 1?
5
Suppose -4*d = -3*d - 398. Find the common denominator of d/84 - (-18)/(-27) and 151/6.
42
Suppose -h + 0*h + 7 = 0. Let a(w) = 3*w**3 - 4*w**2 + w - 4. Let b be a(3). Suppose -2*t + 6*t = b. Calculate the lowest common multiple of t and h.
77
Let h(c) = -c**2 - c + 36. Calculate the lowest common multiple of h(0) and 44.
396
Let t(g) = g**3 - 10*g**2 - g + 12. Suppose 6 = 3*d - 6. What is the smallest common multiple of d and t(10)?
4
Let j be (6898/(-30))/(6/265). Suppose -5*n = 5*a + 50755, 0 = -5*a - n - 31750 - 19009. Let x = a - j. What is the common denominator of -83/18 and x?
18
Let j(s) = -s**3 + 19*s**2 + 2*s - 34. What is the least common multiple of j(19) and 3?
12
Let o = 20 - 12. Suppose 4*i - o = -4*w, -i + 4*i - 4*w = -22. Find the common denominator of -131/6 and ((-100)/88)/(i/(-4)).
66
Let m = 5 - 3. Suppose 4*l - 32 = -m*f, -5*f - l + 96 = l. Calculate the smallest common multiple of f and (-1 - (-9)/3) + 18.
20
Let z = -33 - -40. What is the lowest common multiple of z and 8?
56
Let k(q) = q + 17. Let g = 18 - 32. What is the smallest common multiple of k(g) and 2?
6
Calculate the common denominator of 2 + ((-58)/(-20) - 0) and 15/8.
40
What is the lowest common multiple of 20 and (4 - 3)/((-4)/(-48))