3
Suppose 14*m = 13*m. Suppose 77 + 51 = 4*d - 3*a, m = -5*d + a + 160. Calculate the lowest common multiple of 44 and d.
352
Calculate the common denominator of -59/24 and 39/288*(3 - 13).
48
Suppose 10*x - 18 = 9*x. What is the least common multiple of x and 76?
684
Let q = 123 - 93. What is the smallest common multiple of (-32)/20*(-5)/2 and q?
60
Calculate the common denominator of -57/20 and (-543)/300 + 7/(-28).
100
Let c(n) = n**3 + 22. Calculate the least common multiple of c(0) and 15/75 - 58/(-10).
66
Let z(s) = 8*s + 58. Let n = -2 + 4. Calculate the smallest common multiple of z(-7) and n.
2
Let z(k) = k**2 + k + 12. Suppose 0 = -c + 2 + 3. Let x(t) = 5*t - 9. What is the lowest common multiple of z(0) and x(c)?
48
Let s(y) = 22*y + 4. Let k be s(2). Let x = k + -45. Calculate the lowest common multiple of 6 and x.
6
Let d(j) = j**2 + 2*j. Let z be d(-3). Calculate the least common multiple of 1/z - (-1)/(9/96) and 9.
99
Let l = 23 - 13. Let x(w) = -3*w**2 - 87*w + 6. Calculate the smallest common multiple of l and x(-29).
30
Let q = 2748 - 9558. Let n = -40961/6 - q. What is the common denominator of 1 + 45/80 - -3 and n?
48
Let w be 2/11 + 6266/143. Suppose -2*u = q + w, -4*q - 4*u - 203 = -5*u. Calculate the common denominator of 85/6 and q/24 + (1 - -1).
12
Suppose -2*i = 4*y + 53 - 619, -3*y - i = -423. Calculate the smallest common multiple of y and 10.
140
Let b be 102/12 + 2/4. Suppose 0 = -b*o + 13*o - 16. Calculate the least common multiple of o and 11.
44
Suppose -3*i - 12 = -5*i. Suppose 0 = -18*v - 9 - 45. Find the common denominator of i*((-51)/16)/v and 21/2.
8
Suppose 135 = -13*v + 18*v - 4*k, 0 = -4*v - 2*k + 108. Calculate the lowest common multiple of 10 and v.
270
Let v = -121771/3404 - -822/23. Find the common denominator of 39/370 and v.
740
Let g be -1 + 4*2895/6. Let r = -2733 + g. Find the common denominator of (-1)/(-3)*r/16 and 58/9.
36
Calculate the lowest common multiple of 115 and 6/(-9) - (-1)/(3/47).
345
Suppose 0 = 2*y + b - 3 + 2, -3*y + 4*b + 29 = 0. Suppose -p = -4*q - 295, 2*p - 1 = -y. Find the common denominator of 91/18 and (-1)/6 - q/8.
36
Suppose -5*i - 93 = 162. Let r = 72 + i. What is the smallest common multiple of r and 33?
231
Let s = -8068 + 16925. Let q be 10/8*(-283254)/(-40). Let o = s - q. Calculate the common denominator of o and -81/2.
16
Let h(k) = -5 - 6 + 2*k + 2. What is the common denominator of -1/9 and h(5)?
9
Let h = 585 + -438. What is the smallest common multiple of 9 and h?
441
Suppose 3*g - 45 = l, 104 = -2*l - 0*l - g. Let a = -29 - l. Let k(r) = -16*r - 40. Calculate the smallest common multiple of a and k(-5).
440
Let n(y) be the second derivative of -7*y**3/6 + y**2/2 - 5*y. Suppose 0 = 6*x - 8*x - 2. What is the smallest common multiple of n(x) and 6?
24
Suppose -202*l + 14 = -201*l. What is the least common multiple of 0 - (3 - (4 - -81)) and l?
574
Let u = 3676139/60 - 61272. Find the common denominator of 101/36 and u.
180
Let z(h) = h**3 - 15*h**2 - 12*h - 54. What is the lowest common multiple of 140 and z(16)?
140
Let d be 2 + (-1)/(89916/179840). Let a = -1730867/179832 + d. Calculate the common denominator of a and 53/28.
56
Let b(g) = -g**3 - 2*g**2 + 2*g + 3. Let r be b(-3). Suppose -r*s + s + 880 = 0. What is the common denominator of 4*1*(-6)/s and 49/10?
110
Let m(u) = -u**3 + 15*u**2 - 20*u + 14. What is the least common multiple of 18 and m(13)?
828
What is the lowest common multiple of (40 + 40)/(3*(-2)/(-9)) and 600?
600
Let i = -102 + 98. Let n(t) = -12*t - 15. What is the least common multiple of n(i) and 3?
33
Let f be 16/(-10)*(-15)/6. Let y = 47233/13926 - -11/633. What is the common denominator of y and 1 + (-45)/f + 2?
44
Let v be 20/70 - 33*2/(-14). Suppose -3*q - 2*q + 5*w + 80 = 0, w - 50 = -v*q. Calculate the lowest common multiple of 9 and q.
99
Suppose 8*g = 7*g - 12. Let d(o) = -o + 4. Calculate the smallest common multiple of d(g) and 12.
48
Suppose -p - 3*b = -8*b + 89, -5*b - 231 = 4*p. Let h = 70 + p. Calculate the least common multiple of h and 10.
30
Let x = -112 + 115. Suppose 72 = 4*d + 2*l, -d = d - x*l - 36. Calculate the least common multiple of 8 and d.
72
Let l = 6653053/36 - 184820. Let n = -146/9 - l. Find the common denominator of -15/11 and n.
44
Let z be -3 + 1 + -4*40520/(-108). Let w = -1499 + z. Find the common denominator of -97/42 and w.
378
What is the common denominator of -97/10 and (-30)/(-93)*(-15)/(-4)?
310
Let p(k) = k**3 - 8*k**2 + 6*k + 12. Let j be p(8). What is the smallest common multiple of 12 and ((-20)/j)/((1 - -1)/(-12))?
12
Let w = -45 + 45. Suppose 0*v - 5*v + 35 = w. What is the least common multiple of 1 and v?
7
Let q = 256 - 134. Let i = -82 + q. What is the least common multiple of 10 and i?
40
Suppose 33 = 2*u - 5*z, -2*z - 2*z = -4*u + 84. What is the common denominator of -91/2 and (2/30)/(u/2060)?
18
Let l(w) = -24*w**3 - w**2 - 2*w - 2. Let y be l(-1). Suppose 5*z - 133 = -y. Calculate the lowest common multiple of z and 22.
22
Let g = -846 - 538. Let m be (8/(800/(-255)))/(8/4330). Let q = m - g. Calculate the common denominator of -73/16 and q.
16
Let h = 1989 - 11887/6. Calculate the common denominator of h and ((-6)/(-24))/((-3)/(-99)).
12
Let v(k) = -k**3 + 10*k**2 + 13*k - 16. Let o be v(11). What is the common denominator of (o/(-8))/((-108)/8) and 115/18?
18
Let l(k) = k**3 + 5*k**2 - 6*k - 3. Let m be l(-6). Let r(j) = -j**2 + 19*j - 20. Let y be r(18). What is the common denominator of -107/14 and m*y*47/108?
126
Let x be -3*8/11916*3. Let f = x - 953/6620. What is the common denominator of -43/8 and f?
40
What is the common denominator of (33054/3808 - 9)*(-2)/(-3) and 61/4?
136
Suppose -13*o - 330 = -19*o. What is the lowest common multiple of o and 50?
550
Let p = 88 - 46. Calculate the smallest common multiple of p and 2/(-10) - (-244)/20.
84
Let i = -4383086 - -48261064/11. Let w = -4288 + i. Find the common denominator of w and -39/8.
88
Suppose -4*w + 36 = 2*c, 0*c - 4*c + 3*w = -17. Let x = c - 5. Suppose 4*y - 60 = -s, 3*s - 1 - x = -y. Calculate the smallest common multiple of 20 and y.
80
Suppose 5*m - d = -0*d + 140, 0 = -m - 4*d + 28. Suppose 3*f + 4*w = 42, -21 = -4*f - 3*w + m. What is the common denominator of -33/2 and 46/(-9) + 10/f?
18
Suppose -x + 6*x = -20. Let g = x - -24. Find the common denominator of (1 - (-52)/g) + -1 and 31/3.
15
Let x(r) = 10*r + 2. Let u be x(2). Suppose u = y + y. Calculate the lowest common multiple of y and 3/((-1)/(-2) + 1).
22
Let g = 37/106 - -1723/6148. Calculate the common denominator of -47/6 and g.
348
Let l(o) = -o**3 + 6*o**2 - 2*o + 13. Calculate the smallest common multiple of l(6) and 67.
67
Let d = 29 - 26. Suppose 3*p - 8 = o - 27, 0 = -d*p - 9. Calculate the lowest common multiple of 56 and o.
280
Let w = 29 + -25. Suppose z - 10 = -w*z. Calculate the smallest common multiple of 48/9 + (-4)/(-6) and z.
6
Let i = -95 - -656/7. Let b = i - -159/140. Find the common denominator of b and -57/4.
20
Let m = 7631/1776 + -26/111. Find the common denominator of m and -5/2.
16
Suppose 8*s + 153 = 17*s. Calculate the smallest common multiple of s and 2.
34
Let h = -16972 - -407239/24. Find the common denominator of h and -32/279.
2232
Let g be ((-172)/(-20) - 5)*5. Find the common denominator of 47/44 and (7 - (g - 9))/(72/137).
396
Suppose 0 = -2*z + 5*q + 37, -5*z + 4*z - 2*q = 4. Suppose 0 = -0*d + d - 37. What is the common denominator of 55/7 and (1 + 0)*d/z?
42
Let m = 103 - 107. Calculate the common denominator of 74/27 and -158*1/(-102) + m/(-34).
27
Suppose -5*n + 6 + 14 = 0. Let p be 6/((32/4)/n). Suppose 0 = 4*d - 4, 4*g - p*d - 46 = -d. What is the least common multiple of g and 20?
60
Let m(x) = -7. Let s(q) = -q - 7. Let g(t) = 2*m(t) - 3*s(t). Let z(h) = -h**3 + 9*h**2 + 6*h - 18. Calculate the least common multiple of g(5) and z(9).
396
Let x be (2/(-7))/((-3)/84). Let t be x/(-36) + (-54049)/(-2718). Let o = 1/302 + t. Calculate the common denominator of 50/7 and o.
21
Let s be ((-4)/(-10))/((-11)/(1155/(-14))). Find the common denominator of (410/(-600))/((-2)/s) and -9.
40
Suppose -199*f + 183 = 5*c - 200*f, 2*c - 2*f - 78 = 0. Let t(p) = -2*p - 1. Calculate the least common multiple of t(-4) and