Let r = 55448/3 + -155420750/8409. Let w = m - r. Calculate the common denominator of -137/48 and w.
48
Suppose 0 = 18*w - 546 - 30. Calculate the lowest common multiple of 44 and w.
352
Suppose -2*t = 4*x - 7*x + 72, t = 2*x - 48. Calculate the smallest common multiple of x and 12.
24
Let x = -463 + 493. Calculate the lowest common multiple of x and 3.
30
Let n(r) = 5*r**2 + 10*r + 16. Calculate the smallest common multiple of 88 and n(-2).
176
Let r(q) = -q**3 + 6*q**2 + q + 4. Suppose 1 = -x - 17. Calculate the lowest common multiple of -1*7*x/18 and r(6).
70
Find the common denominator of 35/3 and ((-3)/(-21))/(6/114*3).
21
What is the common denominator of 14/33 and 138/(-368) - (-467)/456?
627
Suppose 2*c - 10 = -6. Suppose z - 2*z = c*y - 7, 50 = 5*y - 4*z. Let a(k) = -k - 4. What is the least common multiple of y and a(-6)?
6
Calculate the common denominator of 89/90 and (-6293)/(-560) + -4 + -8.
720
Let r = 9970861/162 - 61549. Find the common denominator of r and -143/36.
324
Let h be -2 - (2418/75 + 2). Let f = h - -1297/50. What is the common denominator of f and -35/9?
90
Suppose -1713 + 525 = -11*j. What is the lowest common multiple of 18 and j?
108
Let r be (33 - (-3 - 1))*-1. Let p = 43 + r. Suppose 0*q - d - 15 = -3*q, 2*q - 23 = 5*d. Calculate the least common multiple of q and p.
12
Calculate the common denominator of (6/(-72))/(-2*6/297) and 95/16.
16
Calculate the smallest common multiple of 1/(2/68) + -1 and 195.
2145
Let s = 39297/4 - 9760. Let l = s - 419/8. Let w = 262271/16 + -16386. Calculate the common denominator of w and l.
16
What is the common denominator of 52/(-442) - (-3734)/(-340) and 23/6?
30
Suppose 492 = 2*x + 2*x - 3*g, 2*x - 244 = 2*g. Calculate the lowest common multiple of x and 33.
1386
Let i(m) = m**3 - 6*m**2 + 10*m - 8. Let q be i(7). Let p = q - 246. What is the common denominator of 35 and p/(-60)*2/(-5)?
10
Let j(q) be the third derivative of q**4/6 + 7*q**3/3 - 13*q**2. Let r be j(-14). What is the common denominator of (-12)/r + 734/126 and -103/10?
90
Suppose -5*p = -2*p + 5*m - 18, -4*p - 2*m = -24. What is the smallest common multiple of p and 36?
36
Suppose 0*o - 21 = -3*c + 3*o, -3*o = 4*c. Suppose 2*g = 5*g - l - 7, 0 = -c*l + 6. Calculate the lowest common multiple of g and 14.
42
Suppose 2*j = 5*t + 138, -3*j + 3*t + 101 + 97 = 0. Let o = j + -46. Calculate the smallest common multiple of o and 33.
198
Let k = -1502 - -13492/9. Let u = 4853794 + -53427502/11. Let d = u - -3249. Find the common denominator of d and k.
99
Find the common denominator of 113/10 and ((-128)/148)/(-5 - -7).
370
Let q = -721 + 844. Calculate the smallest common multiple of q and 153.
6273
Suppose -7*v + 4*v = 2*v. Suppose k = v, 2*i - 2*k = -4*k + 52. Calculate the lowest common multiple of (-1 - 0/2)*-2 and i.
26
Let z = 4 - 8. Let y be (-441)/(-1716) - (-1)/z. Let h = -123/2860 - y. Calculate the common denominator of -37/4 and h.
20
Suppose -4*w + 7 = -n - 0*n, 5*w = 5*n - 25. Let x(g) = 17 - 2*g + g + 2*g. Calculate the smallest common multiple of 1 and x(n).
26
Suppose -3*v = -9, 5*f = -27*v + 25*v + 506. Calculate the smallest common multiple of f and 400.
400
Suppose -4*u + 4*b = -0 + 12, 3*b = u + 9. Suppose 3*n + 19 = j, u = j - 4*n - 18 - 0. What is the smallest common multiple of 2*((-1 - 0) + 12) and j?
22
Let u be ((-4)/6)/(18/(-81)). Suppose 4 = -w + 2. Calculate the smallest common multiple of 20 and (-224)/21*u/w.
80
Let b = 5 - -5. Let q be (-210)/(-12)*(-136)/b. Find the common denominator of -137/12 and q/(-10)*80/(-288).
36
Suppose -2*p = -3*m - 13, 0 = 4*p - 4*m + 7*m - 35. Calculate the smallest common multiple of 16 and p.
16
Suppose -5*s = 1 + 4, -208 = -2*i - 2*s. Let q = 115 - i. What is the least common multiple of q and 58?
290
Let w = -1/22 - 29/88. Find the common denominator of w and (-2)/(-4) + (666/189 - 2).
168
Let y be (-8)/(-10) + (-14)/5. Calculate the common denominator of (5/10)/(4/(-82)) and y + (-1)/(21/45).
28
What is the common denominator of 1/3 and 1064/(-3520) + 18/48?
165
Suppose 22 = 22*n - 0. Calculate the smallest common multiple of n and 39.
39
Let r = 7535/4 - 1859. What is the common denominator of 41/11 and r?
44
Let q(f) = 2*f**2 + f + 1. Suppose 4*c + 2*w = -15 - 11, -2*c - 4*w - 16 = 0. Calculate the lowest common multiple of (-1)/(-7)*19 + c/(-21) and q(-2).
21
What is the common denominator of 18/288*(-177)/(-3) and 57/4?
16
Suppose -2*u + 5*a + 1 = u, 4*u - 4*a - 4 = 0. Suppose 0 = -106*z + 101*z + 40. Calculate the smallest common multiple of z and u.
8
Let r(w) = w**3 - 7*w**2 - 9*w + 8. Let p be r(8). Suppose p*d - q - 21 = -2*d, 0 = -q - 5. What is the smallest common multiple of d and 7 + -8 - (0 + -4)?
24
Let z be -3*(-2)/15 + 180/50. What is the common denominator of (66/(-48))/(z/(-80)) and -1/14?
14
Suppose 3*j + 4*s + 80 = 7*j, 3*s = j - 18. Suppose -j*z + 14*z = -21. Calculate the lowest common multiple of z and 42.
42
Suppose -16 = -5*s + 4*m + 90, 3*m + 102 = 5*s. Suppose -2*d - 19 = -4*p - 1, -3*p + 31 = -5*d. Calculate the lowest common multiple of s and p.
18
Suppose 14*o - 1171 - 397 = 0. Calculate the smallest common multiple of o and 84.
336
Suppose -u = -5*x - 34, 4*u + 6*x - 36 = x. Calculate the least common multiple of u and 470.
3290
Calculate the common denominator of (64 + 0)/4*4/(-69) and -67/27.
621
Let y(j) = -j**2 + 8*j + 18. Let q be y(12). Calculate the smallest common multiple of 66/10 - 12/q and 72.
504
Let y be (-231)/(-14)*4/(-6). Let u be ((-4196)/6)/(3 + y). Let q = u + -3389/36. Find the common denominator of q and 151/6.
18
Suppose -2*h - 4*h + 216 = 0. What is the least common multiple of 6 and -3*-2*66/h?
66
Let u = 92 - 42. What is the least common multiple of 150 and u?
150
Let g = 730 + -20451/28. What is the common denominator of 33/16 and g?
112
Suppose 0*p = 7*p - 7. What is the smallest common multiple of 1 and (-7)/(-1) + p + 9/(-3)?
5
Calculate the least common multiple of (3/12*-4)/((-3)/1650) and 500.
5500
Let t(g) = g**2 + 6*g + 8. Let a(h) = 12*h + 2. Let y be a(-1). Find the common denominator of t(y) and -115/6.
6
Let g be 3/(-2)*32/(-24). Let b = g + -1. Find the common denominator of b + 1 + (-14)/(-3) and -71/2.
6
Suppose -4*i + 120 = -0*i. What is the common denominator of (-6 - (1 - 5)) + i/(-9) and 127/42?
42
Suppose 4*o - 29 = -3*l, 2*l + 4 + 10 = 4*o. Let y(s) = 2*s**3 - 5*s**2 + 4*s + 1. Let f(z) = 11*z - 4. What is the lowest common multiple of y(l) and f(2)?
198
Let x be (-361)/(-1) + 1 + 2. Suppose -7*k = 56 - x. Calculate the smallest common multiple of 10 and k.
220
Suppose -7*f - 14 = -21. Calculate the least common multiple of 10 and f.
10
Suppose 2*r - 18 - 6 = -2*z, 4*z = 8. What is the lowest common multiple of r and 26?
130
What is the common denominator of -5 - 56/(-48) - 0 and 101/8?
24
Let a = 3547/483 + -4/69. What is the common denominator of 48/31 and a?
217
Let g(s) be the third derivative of -s**4/24 + 8*s**3/3 - 3*s**2. Suppose -31*n = 3*n - 408. Calculate the smallest common multiple of g(8) and n.
24
Let f = 0 - -20. What is the common denominator of -13/2 and (273/18 - 1)*(-6)/f?
4
Let j = -43 + 17. Let p = j - -17. Let k = -7 - p. Calculate the lowest common multiple of k and 2.
2
Let r = 226 - 224. Calculate the smallest common multiple of 10 and r.
10
Let b = -256538074/681 + 376708. Calculate the common denominator of -91/18 and b.
4086
Let b = -59 + 65. What is the smallest common multiple of b and 11?
66
Let h(t) = 2*t**2 - 14*t + 28. Suppose -5*y - 2*r + 15 + 171 = 0, -3*r = -5*y + 196. What is the lowest common multiple of h(2) and y?
152
Let n(w) = w**2 + 17*w + 16. Let f be n(-16). Suppose f = 17*x - 21*x + 52. What is the lowest common multiple of x and 11?
143
What is the least common multiple of 48 and 106/9 - 98/(-441)?
48
Suppose 4*q + m + 4 = 5*q, 15 = 3*m. Let g = -14 - -17. What is the smallest common multiple of g and q?
9
Let h = -1/784 - 5479/7056. Let q = 32/5 - 113/10. Find the common denominator of q and h.
90
Calculate the common denominator of -38/3 and 34/119 + (-338)/(-42).
3
Suppose 18*p + 49 = 25*p. What is the lowest common multiple of 8 and p?
56
What is the common denominator of (-1580)/198 + 280/3080 and 1/(-3) + 290/(-66)