
30
What is the common denominator of (-135)/6*(0 + (-2)/61) and 55/3?
183
Suppose -z = 2*g - 3*g - 14, 4*g = -4*z + 24. What is the smallest common multiple of 8 and z?
40
What is the common denominator of 3/(0 - 10/(-33)) and 55/(-15)*(-9)/39?
130
Suppose -4*g = -g - 12. Suppose 5*s = 4*x - 40, 4 = -x - g*s - 7. Let d = x + -1. Calculate the lowest common multiple of d and 5.
20
Let y = 82 - 45. Calculate the smallest common multiple of (-3)/(y/10 + -4) and 3.
30
Suppose 2*h - 38 = 2*d, h + 3*d = 2*d + 17. Let x = -19 - -37. What is the lowest common multiple of h and x?
18
Let j be 14/(-12)*10488/32. Let x = j - -385. Calculate the common denominator of 35/3 and x.
24
Let o = -9 + 15. Let l be 2/o + 70/6. What is the common denominator of (0 + 3)*67/l and 37/4?
4
Let k = 503/477 + 3/53. Let t = 7387/316 - 10/79. Find the common denominator of k and t.
36
Let d = -48 - -66. Suppose 5*z + 4*m + 0*m - 112 = 0, 2*z = 4*m + 28. Calculate the smallest common multiple of d and z.
180
Calculate the common denominator of ((-143)/36)/(1/(-2)) and 33/8.
72
Let p = 42 + -26. Suppose -x - 7 + p = 0. Suppose -2*y + 10 = 0, 39 = 3*u + u + 3*y. Calculate the lowest common multiple of x and u.
18
Let l = -2214 + 19973/9. Let o = 46501/14212 - -1/1292. Calculate the common denominator of l and o.
99
Find the common denominator of 123/322 and 64/(-30) + (0 - (-4)/(-24)).
1610
Suppose -2*c - p + 4 = 113, 0 = -5*c - 2*p - 270. What is the lowest common multiple of (-1521)/c - (-3)/4 and 8?
120
Suppose 5*g - 17 + 7 = 0. Let h(o) = o**3 - 2*o**2 - 9*o + 6. What is the least common multiple of g and h(4)?
2
Let v be 6/(-15) - 2/(-5). Let f = 1 - v. Suppose 17 = 3*h - 16. Calculate the lowest common multiple of f and h.
11
Let f(y) = -3*y - 3. Let d be f(-2). Let p be (-1)/d*(-3 + -6). Suppose v + 44 = p*v. Calculate the least common multiple of 12 and v.
132
Let a = -39/10 - -151/90. Calculate the common denominator of -32/7 and a.
63
Suppose -160 = -a - g, -a - 2*g + 5*g = -160. Calculate the lowest common multiple of 10 and a.
160
Let d = -9 - -11. What is the smallest common multiple of 9 and d?
18
Let h = -329326571/9074686220 + -1054/382253. Let t = -1423477667/213660 + h. Let q = t + 6659. Find the common denominator of 23/8 and q.
72
Let a(z) = -z. Calculate the least common multiple of 9 and a(-4).
36
Suppose 2*f - 15 = -3*f. Suppose f*k - g - 126 = 0, g + 3 = 2*g. Calculate the common denominator of (-3)/(-6)*k/4 and 93/2.
8
Let i = 0 + 6. Let x = i + -3. Let v = -533 - -540. Calculate the lowest common multiple of x and v.
21
Let o = -136529/12 - -11390. Calculate the common denominator of o and 131/108.
108
What is the common denominator of -3 + 3/(-198)*-129 and -95/14?
154
Let k = 29341/7 - 4200. Let b = -311/6 + 53. What is the common denominator of k and b?
42
Let m(q) = -q**3 - 8*q**2 - 2*q - 4. Let p be m(-8). Suppose 3*z - 5*z = -p. Calculate the lowest common multiple of 4 and z.
12
Let m = -1 - -2. Let g = -31 - -33. Suppose 0 = 3*f - g*k + 7, 6*f + 5*k = 4*f + 27. What is the lowest common multiple of f and m?
1
Suppose 2*z - 6*z = -4. Calculate the smallest common multiple of 10 and z.
10
Let k be -1*2*(-1)/2. Let b be ((-1)/16)/(k/(-24522)). Let o = -1528 + b. Find the common denominator of o and 47/18.
72
Let z(c) = -c + 4. Calculate the least common multiple of 18 and z(-6).
90
Suppose 11*i = 7*i - 12. What is the least common multiple of 7 and (-26)/i + 2/(-3)?
56
Let k = -21 - -19. Find the common denominator of 0 + (-68)/(-12) + k and -113/6.
6
Suppose 3*s + 3*m - 21 = 0, m - 6*m = -3*s - 11. Calculate the least common multiple of s and 1.
3
Calculate the lowest common multiple of 24 and ((-8)/20)/((-2)/20 - 0).
24
Calculate the common denominator of 61/4 and 1170/(-28) - (-16)/56.
4
Calculate the lowest common multiple of (-2)/4 - 30/(-4) and (-6)/(-2) - (1 + 0 + 0).
14
Let f be 1/((-1)/((-156159)/30)). Suppose -2*o = -2*h - 7*o - 10385, -4*h = 3*o + 20791. Let q = f + h. What is the common denominator of q and -65/12?
60
Let q = 4 + 1. Suppose 0*j - 5 = -2*j - 3*y, -q*j - 5*y = -20. Calculate the lowest common multiple of 18 and 7/(j/12) + 0.
36
Let m = 26908641/530 - 50771. Let q = 60003026591/795 - 75475483. Let c = m + q. Find the common denominator of c and 53/4.
12
Let i = 23 + -17. Let a = 1292 - 488. What is the common denominator of 2/i*a/(-40) and -139/18?
90
Suppose 5*s = -4*j + 20, -3*j + 0*j + 15 = s. What is the least common multiple of 3*-1*((-64)/(-24))/(-4) and j?
10
Let a(u) = -u**2 - 25*u + 60. What is the lowest common multiple of a(-27) and 9?
18
Suppose 0 = -5*s + 4*s + 12. What is the smallest common multiple of s and 24?
24
Let r = -2 + 12. Calculate the smallest common multiple of r and 10.
10
Find the common denominator of 2 + (477/21)/(-3) - -2 and -9.
7
Let h = -15 + 27. Calculate the lowest common multiple of h and 24.
24
Suppose 24 = 2*t + 4*h, -2*t = 3*t + h - 42. Calculate the common denominator of 70/t*(-6)/(-12) and -11/3.
24
Let c be 15/12*234/10. Let r = -175/4 + c. Find the common denominator of 55/(-2)*(-3)/12 and r.
8
Let i(u) = u**3 + 7*u**2 - 2*u - 8. Let l be i(-7). What is the common denominator of 15/4 and 23/4 + l/9?
12
Suppose 25 = -5*l + 220. Suppose x + l = -5*z + 15, -3*z - 15 = 0. What is the lowest common multiple of 18 and (5 - x)*-1*-4?
144
Suppose 5*l - 18 = 3*l. Suppose d + l = -0. What is the least common multiple of ((-2)/6)/(1/d) and 11?
33
Suppose 26*q + 15 = 29*q. What is the least common multiple of 43/9 + 6/27 and q?
5
Let v = -26 - -124. Let j be (v/(-8))/((-2)/8). Suppose j = 4*z + 9. Calculate the least common multiple of z and 1.
10
Suppose 3*k - 27 = 2*a + a, -4*a - 12 = -k. Calculate the least common multiple of k and 22.
88
Suppose 0 = -3*f - f + 20. What is the smallest common multiple of f and 4?
20
Suppose -5*p + 3*i + 36 = 0, -2*p + 2*i + 6 = -2*i. Let w = 16 - p. Calculate the least common multiple of 10 and w.
70
Let b = -5 + 11. What is the least common multiple of b and 4?
12
Let m be (-1)/(3/(-30)) + -2. Let n(b) = 0*b - m - 2*b**2 + 6 + 3*b**2 - b. What is the smallest common multiple of n(5) and 8?
72
Let v be (-9)/6 + 3507/(-108). Let f = -245/9 - v. Find the common denominator of 37/9 and f.
36
What is the common denominator of -37/22 and 4 - 3 - (-61)/18?
198
Suppose 2*b - 47 = 5*h, -4*h + 11 = -4*b + 75. Suppose -3*z - 6 = -i + 2*z, 4 = 4*z. What is the lowest common multiple of i and b?
11
Let z(q) = -q**3 - 10*q**2 + 11*q + 6. Let j be 1*-1*(12 - 1). Calculate the least common multiple of 10 and z(j).
30
Let x = -18 + 27. Calculate the least common multiple of x and 10.
90
Suppose 8 = 2*i - 0*i. Suppose 0 = 5*u + 5*t - 0 + 10, 0 = 4*u - 4*t - 32. Find the common denominator of 114/i*(u - 4) and -67/9.
18
Suppose 0*j + s = j - 22, 0 = j + 5*s - 4. What is the least common multiple of j and 3?
57
Let q = 5268 - 47461/9. Calculate the common denominator of q and 38/3.
9
Let l = 46249099 - 739731281/16. Let n = 15900 - l. Calculate the common denominator of 61/12 and n.
48
Let b = 37/35 + 2111/420. Calculate the common denominator of -9/10 and b.
60
Let f(r) = 9*r**2 - 2*r + 1. What is the smallest common multiple of 10 and f(1)?
40
Suppose 2*s - f - 37 = 0, 0*s - 5*s + 5*f + 105 = 0. Suppose 0 = 2*c + 2*c - 48. Calculate the lowest common multiple of s and c.
48
Let y = -5/116 + 3553/348. Let x = -383 + 2671/7. Calculate the common denominator of x and y.
42
Let b be (1 + -2)/((-7)/35). Let j be 40/b*(-1)/(-2). Suppose -4*y = 2*h - 84, -85 = -4*y + j*h - 13. What is the lowest common multiple of 10 and y?
20
Let r(f) = -f + 2. Let o be r(-8). Suppose 2*k - 4*k = 2*v - 28, k - 5*v = -o. Calculate the smallest common multiple of 3 and k.
30
Let i(q) = -q**2 + 9*q + 3. Let h be i(5). Suppose -2*f + 47 = 4*w - f, -4*f + h = w. Let y = 2 - 1. What is the least common multiple of y and w?
11
Calculate the common denominator of -89/50 and (-1656)/(-9900)*-1*5.
550
Let r = 47485/3 + -16806. Let y = r - -961. Calculate the common denominator of y and 764/(-16) - (-2)/8.
6
Suppose -13 + 21 = o. What is the least common multiple of 12 and o?
24
Let r(c) = -2*c**2 - c. Let l be r(-2). Suppose 2*n - 5*m - 2 = 0, -3*m - 24 = -7*n + 2*n. Calculate the smallest com