
Let i = 26011/12 - 4325/2. Find the common denominator of i and 113/108.
108
Calculate the common denominator of 8*(-2)/20 + 5630/(-900) and 133/426.
1278
Let n(a) = a. Let u(p) = p**2 + 8*p - 6. Let d(h) = -n(h) + u(h). Let f be d(-8). Suppose -f*o - 3 + 31 = 0. What is the lowest common multiple of o and 12?
84
Let y(q) = -5*q**3 - 10*q**2 - 2*q + 16. Calculate the lowest common multiple of y(-6) and 44.
748
Suppose 5*j - 3*j - 52 = 0. Let d = 42 - j. Suppose 2*b + 10 = 2*v, 3*b + 8 - 25 = -5*v. What is the least common multiple of v and d?
16
Suppose -45 = -6*v + v. What is the lowest common multiple of v and 24/32 + 7/((-84)/(-39))?
36
Let s = -1 - 5. Let z be -2*(-1)/s*0. Let q(p) = p**3 + p**2 - p + 4. What is the smallest common multiple of 4 and q(z)?
4
Let r(n) = -77*n**3 - 2*n**2 - 10*n - 9. What is the lowest common multiple of r(-1) and 4?
76
Let u(h) = 7*h - 9. Let r(k) = 15*k - 17. Let d(s) = 6*r(s) - 13*u(s). What is the least common multiple of 16 and d(7)?
16
Let d = 27385/9 - 3039. Find the common denominator of d and (-5)/(150/192) - 0.
45
Suppose -2*m - 16 = -50. Let s(y) = y**3 - 17*y**2 - y + 19. Let n be s(m). What is the common denominator of n/(-9)*(-65)/(-2) and 68/3?
9
Let j(q) = q**2 + 4*q - 108. Calculate the lowest common multiple of 14 and j(-18).
1008
Let t(y) = -2*y**3 - 15*y**2 - 10*y - 9. Let q(g) = g. Let d be q(-7). What is the smallest common multiple of t(d) and 24?
24
Suppose 0 = -3*s - 7 - 17. Let l(m) = -m**2 - 11*m - 15. Calculate the smallest common multiple of 1 and l(s).
9
Find the common denominator of 106/(-36) + (8 - (0 - -6)) and (2/(-10))/(216/30 + 4).
504
Let u = -27 - -148. What is the lowest common multiple of u and 77?
847
Find the common denominator of 13/(91/2)*111/4 and 53/124.
868
Calculate the common denominator of 5 - (-285)/(-38) - (-103)/12 and -50/93.
372
Find the common denominator of 1/120*-5*-2 and 26/45.
180
Suppose 84 = 5*f + 4*w, 4*f + w - 4*w - 92 = 0. Let v = -9 + f. Suppose 4*c - 5 + 1 = 0. Calculate the lowest common multiple of v and c.
11
Let j be ((0/1)/(-4))/(-1). Suppose 3*w + 32 = 4*n, 2*n + 5*w - 7*w - 16 = j. Let c = 23 - 11. Calculate the least common multiple of n and c.
24
Suppose -j = 4*j - 40. Suppose -t + 4 = -13. Let h = t - 14. What is the smallest common multiple of h and j?
24
Suppose g + 3*d - 24 = d, 0 = 3*g + 3*d - 75. Let i = 18 - 8. What is the least common multiple of i and g?
130
Suppose -2*t - 2*t = -76. Suppose r - 6*r - t = -d, 0 = r + 3. Calculate the smallest common multiple of 2 and d.
4
Let i be 2 + (-7364)/2454 + 1. Let k be 169230/16*(-12)/(-88344). Let f = k - i. Calculate the common denominator of 63/16 and f.
16
Let t = -1274/5 + 9098/35. Let u be ((-20)/3)/(-2)*744. Let i = 7504/3 - u. Find the common denominator of t and i.
21
Suppose -379 + 365 = -7*z. What is the smallest common multiple of z and 68?
68
Let p be ((-93)/6)/(-1)*-82. Let h be (-2)/8 - p/(-4). Let b = h - -3539/11. What is the common denominator of b and 46/11?
11
Let c be ((-1)/(-3))/((-3)/(-1026)*3). Let s = -36 + c. What is the least common multiple of 4 and s?
4
Let w = 102 - 90. Let u(h) = h**2 + 5*h + 6. What is the smallest common multiple of u(-8) and w?
60
Let r = 36 - 33. Suppose -g + r = -2*y, 2 = -3*g - 4*y + 51. What is the lowest common multiple of 11 and g?
11
Let r = -232 - -1187/5. Calculate the common denominator of -53/4 and r.
20
What is the least common multiple of 48 and 20*17/(510/132)?
528
Let b(x) = 5*x - 3. Calculate the smallest common multiple of 98 and b(5).
1078
What is the common denominator of 425/140 - (2 + (-11)/7) and -52/7?
28
Calculate the smallest common multiple of (-36)/108*(-7)/(7/57) and 23.
437
Let j = 3/416 - 14355/416. Calculate the common denominator of 13/32 and j.
32
Let x = 3499/4 - 853. Calculate the common denominator of 29/440 and x.
440
Suppose -3*i + 0*i + 48 = 0. Suppose x = 3*c + 23, 0 = -c + 2*x - x - 5. Let m = i + c. What is the least common multiple of 21 and m?
21
Let d = 6875 - 226907/33. Let s = 6096 - 127966/21. Find the common denominator of d and s.
231
Let t(u) = -32*u**2 + 16*u**2 - 16*u + 23*u + 15*u**2. Let w(z) = -z**2 - 4*z + 5. Let o be w(-4). What is the lowest common multiple of 12 and t(o)?
60
Let x = 3328 - 33239/10. Calculate the common denominator of 155/(-22) - (-4 + 2) and x.
110
Calculate the common denominator of 36/126 + 24/147 and 15/28.
196
Let l(g) = 395*g**2. Let v be l(-2). Let m be (-8)/12 - v/(-2397). Let w = m + 20071/12784. Find the common denominator of 111/20 and w.
80
Let b = 58 + 22. Suppose -6*v + b = -v. What is the lowest common multiple of v and 10?
80
Let g(z) = 41*z - 7. Let c be g(7). Find the common denominator of 1745/c - 1/(-8) and -1/18.
126
Let k = 32 - 29. Suppose -k - 5 = -4*c. Calculate the least common multiple of c and 20.
20
Let p(z) = -z**2 - z + 5. Let o be p(5). Let n = 0 + 45. Let f = o + n. What is the least common multiple of 6 and f?
60
Let o be 1/(-2)*2*-48212. Let k be o/(-36)*2/(-4). Let u = 670 - k. Find the common denominator of 115/18 and u.
18
What is the smallest common multiple of 12 and ((-4)/((-16)/(-10)))/(1/(-2))?
60
Let x be 5 + -7 + 2 - -4. Let r(h) = -h**3 + 4*h**2 + 3*h + 2. Calculate the smallest common multiple of r(x) and 8.
56
Suppose w - 596 = 410. Suppose 2*k - 4*c + 1262 = 7*k, -w = -4*k - 2*c. What is the smallest common multiple of k and 4?
500
Suppose 6*y = y + 5. Let w be (-4)/(-7) + 484/(-14). Let f = w - -36. What is the smallest common multiple of y and f?
2
Let q = 397 - 305. Calculate the least common multiple of 40 and q.
920
Let q(d) = -d**2 - d + 32. Calculate the lowest common multiple of 26 and q(-6).
26
Find the common denominator of 41/34 and 60/(-270) - 1857/(-4590).
170
What is the least common multiple of (-34251)/(-245) + (-12)/(-10) and 222?
10434
Suppose j - 5*r = 50 + 125, 576 = 3*j + 2*r. Calculate the common denominator of (10 - 7) + j/(-28) and 53/22.
154
Let n = 28 + -13. Let u be (-3)/(-2) - n/(-10). Suppose 3*a + 36 = 2*q - a, 14 = u*q + 4*a. Calculate the least common multiple of 2 and q.
10
What is the common denominator of -119/110 and (-5)/(-55) - 35*(-3)/22?
110
Let t(c) = -c**3 - 3*c**2 + 2. Suppose 7*o - 1 = 13. Suppose -u = -11 + o. Calculate the smallest common multiple of u and t(-3).
18
Let y = -503479/81 + 6216. What is the common denominator of 31/63 and y?
567
Let b = -423468980 - -10171739311/24. Let f = b - 353392. Let g = f - 302/3. Calculate the common denominator of -109/14 and g.
56
Let p be 4 + (-364474332)/88 + 4. Let a = p + 4150059. Let m = a - 8315. Calculate the common denominator of 85/6 and m.
66
Suppose 9*n = 4*n + 80. Suppose -3*d - d = -n. Suppose c - d - 1 = 0. Calculate the lowest common multiple of c and 5.
5
Let b = 57 + -39. What is the smallest common multiple of b and (-73)/(-3) - (-3)/(-9)?
72
Let v = 35 - -186. Let c = v + -101. Find the common denominator of -37/9 and (-448)/c + (-6)/10.
9
Calculate the common denominator of 65/9 - (-4)/16*-8 and 73/111.
333
Let g be (4/(-34))/(5438/(-904) - -6). Let r = g - 47/34. What is the common denominator of 25/18 and r?
126
Let r = -399 + 402. Calculate the smallest common multiple of (-1 - (-6)/2) + 0 and r.
6
Calculate the common denominator of -19/20 and 2*3/10 + 14905/(-58300).
1060
What is the least common multiple of (-16)/(4/(-1) - -3) and 22?
176
Let q = 9070/7 + -1293. Let u be 33292/10 + (6 + 0)/(-3). Let c = -398629/120 + u. Calculate the common denominator of q and c.
168
Let n(y) = -3*y + 15. Let f(r) = -r - 1. Let t(x) = -f(x) - n(x). Let b(p) = p**2 - 4*p. Calculate the smallest common multiple of t(8) and b(-4).
288
Find the common denominator of 79/6 and (12/(-81) - -1) + (-17)/153.
54
Find the common denominator of -109/540 and 1895/700 - 6/(-42).
540
Let w(z) = 24*z - 66. Calculate the smallest common multiple of w(4) and 50.
150
Calculate the common denominator of 49/6 and -1*(-172)/(-48)*3.
12
Let y = 23 + -16. Let z = 10 - y. Find the common denominator of -87/14 and (-2)/z + 3033/540.
140
Let m(q) = -2*q**3 - 5*q**2 - 4*q + 1. Let k = -48 + 45. What is the least common multiple of 12 and m(k)?
132
Suppose 4 = -15*k - 101. Let i(s) = 4*s - s**2 + 2*s**2 + 9 + 3*s. What is the least comm