
5
Let j = 2553/40 + -425/8. Find the common denominator of 93/4 and j.
20
Calculate the common denominator of (-237)/4*28/294 and 60/176*-1*2.
154
Let u = -1 + 3. Let c be (4/(-6))/((-6)/(-36)). What is the lowest common multiple of (-27)/18*c/6 and u?
2
What is the smallest common multiple of 1 and (-3)/((-3)/20*2)?
10
Suppose 0*g - 3*g - 8 = 2*v, -2*g - 4*v - 8 = 0. What is the lowest common multiple of 11 and 1*(2 + g + 11)?
11
Suppose -8*n = -10*n + 76. Let u be 3 + (-1 - -1 - -1). Suppose 50 + n = u*v. What is the lowest common multiple of 6 and v?
66
Let m = -427/78 - 1/39. Let w = -247587343/2860 + 86569. Let g = 72951/20020 + w. Calculate the common denominator of g and m.
14
Suppose -5*y - 1 = -4*y. Let h = -2 - y. Let x = h + 12. Calculate the lowest common multiple of 1 and x.
11
Find the common denominator of 2/8 + (-6)/(360/(-591)) and -65/2.
10
Calculate the common denominator of -63/2 and (-471)/42 + 2 + 1.
14
Suppose z + 90 = 6*z. What is the smallest common multiple of z and 10?
90
Let y be (-20)/3 + (-4)/12. Calculate the common denominator of (-158)/(-24)*4/6 and 13/20 + y/(-35).
180
Let q(b) = -b**2 - 8*b + 13. Let w be q(-9). What is the least common multiple of (16/(-24))/(w/(-18)) and 10?
30
Find the common denominator of 115/24 and (-3458)/(-2079) + (-2)/11.
216
Suppose 5*f = -3*o + 67, -4 + 3 = f. What is the lowest common multiple of o and 27?
216
Let d = -33174/4225 + 196/25. Let u = d - 3527/1859. Find the common denominator of u and -34/5.
55
Let d = -5 + 11. Suppose d*j - 8 = 2*j. Calculate the lowest common multiple of (8 - j)/((-6)/(-8)) and 12.
24
Let g = -49 - -70. What is the smallest common multiple of g and 36?
252
Let c = 74/55 + -9701/220. Let d = 39 + c. Let u = 4961/6 - 834. What is the common denominator of u and d?
12
Let w = 3 + 1. Suppose -48 = -2*t - 4*j, -w*t - 92 = -9*t + 4*j. Suppose -3*h + 12 = 3*x, 6*h = h - x + 36. Calculate the least common multiple of h and t.
40
Find the common denominator of 41 and ((-4)/28)/(5/(-250)).
7
Calculate the common denominator of 70/3 and 39/44 + 3/(-12).
33
Suppose -f - f - 4702 = -p, 23538 = 5*p - 3*f. Let g = p + -2102. Let m = -13082/5 + g. What is the common denominator of 30/11 and m?
55
Find the common denominator of 4/(-6) - (-442)/168 and (303/(-18))/(-3 + -2 + 3).
84
Calculate the common denominator of ((162/21)/3)/(15/20) and -35/3.
21
Let a = 1 + 1. Suppose -4*n = -3*n + a. What is the common denominator of (6/45)/(n/6) and 77/4?
20
Suppose 2*j + 3*m + 6 = -j, 0 = -5*j - 2*m + 2. Let u = -3 + 19. What is the least common multiple of j and u?
16
Suppose 28*i - 48 = 22*i. Let o(u) = u**2 - 3. Let j = -4 + 9. Calculate the lowest common multiple of o(j) and i.
88
Suppose 3*k - 12 - 6 = 0. Calculate the smallest common multiple of 6 and k.
6
Let d be 951617895/27 - 2/9. Let c = -563693623/16 + d. Let t = 14251 - c. What is the common denominator of -31/4 and t?
16
Let a be (-5 - -1)*3/(-6). Let s be 5/a + 2/4. Calculate the least common multiple of 8 and 6/s - (-2 - 5).
72
Let m = -2030 + 12293/6. Let k = -4791/4 + 1179. Calculate the common denominator of k and m.
12
Let y be -18*(0 - 3/6). Let t(v) = v + 3. Let l = 34 + -24. Calculate the smallest common multiple of l and t(y).
60
Suppose -10 = r + 3*m, -2*m + 22 = 5*r - 5*m. Let l(p) = 3*p. Let f be l(3). What is the smallest common multiple of (r - (-12)/f)*3 and 8?
40
Find the common denominator of 116*(2/100)/(-1) and -3/11.
275
Let o = -969/44 - -58/11. Let h = -2347/546 + -58/39. Calculate the common denominator of h and o.
28
What is the common denominator of (1/35)/((-2)/155) and 19/20?
140
Suppose -4*y = 3*w - 30, -4*y + 20 = -2*y - w. Let p = 0 + 1. Let g = p - 0. What is the smallest common multiple of g and y?
9
Find the common denominator of -6 + 3 + 215/40 and 131/18.
72
Let g = 7 + -5. Calculate the lowest common multiple of 6 and g.
6
Suppose 0 = -2*i - 8 + 2. What is the common denominator of (i/(-4))/((-45)/(-462)) and 2/4 + (-23)/10?
10
Let k = -50 - -64. What is the smallest common multiple of k and 8?
56
What is the common denominator of -2 - (3132/88)/(-9) and 61/4?
44
Let i = 27 + -20. What is the lowest common multiple of 7 and i?
7
Calculate the common denominator of 145/18 and (-472)/(-192) + (-3)/2.
72
Let t(i) = -11*i**2 - 2*i + 2. Let d be t(-4). Let r = 385 + d. Calculate the common denominator of -1/4 and 1 + (r/(-18) - -1).
12
Let g(j) = j**2 - 10*j + 3. Let p be g(7). Find the common denominator of 1/4 - (-219)/p and 47/20.
60
Let s(k) = 6*k + 2. Suppose 4 = -4*i + 8. Calculate the smallest common multiple of 22 and s(i).
88
Suppose -4*h - 9 - 11 = 0, -z = -h - 15. Suppose 0 = -p + z - 3. What is the least common multiple of 8 and p?
56
Suppose 11*c - 59 = 7. What is the least common multiple of 54 and c?
54
Suppose 0*s + 3*u - 8 = -2*s, 0 = -3*s - 3*u + 12. Suppose -s = -4*m - 0*m. Suppose -1 = -a - 0. Calculate the lowest common multiple of a and m.
1
Suppose 9*i - 15 = 4*i. Let n = 83 - 77. Calculate the smallest common multiple of n and i.
6
Suppose -4*h = o - 305, 10*h = 8*h + 5*o + 125. Calculate the smallest common multiple of h and 3.
75
Let b be -1*(0 - -3)/(-3). Suppose 1 + b = 2*o. Suppose 0 = l + 2*l - 27. What is the least common multiple of o and l?
9
Suppose -1 = -i, 0*u - 4*u = -4*i - 12. Calculate the smallest common multiple of u and 13.
52
Let r be 6/(-4) + 4/(-8). Let z(j) = 21*j**2 - 3*j + 2. Let y be z(2). Calculate the common denominator of (-4 + r)/(y/(-66)) and 53/14.
140
Let n = -2037/4 + 531. Calculate the common denominator of n and -3*2*35/196.
28
Let j = 2665721/98 + -27190. Let n = j - -3/196. Find the common denominator of n and 3/8.
8
Suppose -2*s = 4*a - 38, -51 = -3*a - s + 4*s. Calculate the smallest common multiple of 40 and a.
120
Suppose o + 2 = 1. Find the common denominator of -41/8 and (3 + o)/((-96)/(-436)).
24
Find the common denominator of 46/60 + (-5)/25 and 23/30.
30
Let h(g) = 6*g**2 - 1. Let a be h(-1). Let l(f) = -f + 4. Let j be l(a). Find the common denominator of -77/8 and 1 - (j - (-123)/12).
8
Find the common denominator of 43/2 - (-20)/30 and 33/(-21) + 4/14.
42
Let u = 12 + -12. Suppose -2*h + 0 + 8 = 0. Suppose u*m = m - h. What is the lowest common multiple of m and 14?
28
Let w = -78 - -110. Calculate the least common multiple of w and 2.
32
Let n = 18969/8230 + -4/823. What is the common denominator of 31 and n?
10
Let n = 5 + 1. Calculate the smallest common multiple of 4 and n.
12
Let q(r) = -4*r + 16. Calculate the least common multiple of 2 and q(0).
16
What is the common denominator of (-4)/10 + (-422)/20 and 1308/616 - 10/(-35)?
22
Let q = -1319 - -2711/2. Let r = 1/4277 - -526051/85540. Calculate the common denominator of q and r.
20
Find the common denominator of 152/(-12) + 3/(-18) and -19/6.
6
Let v = 11 - 5. What is the common denominator of -87/8 and 98/(-36) - v/4?
72
What is the smallest common multiple of 11 and ((-1)/(-2) + -4)/((-1)/2)?
77
Suppose 5*p + 8899909 = -3*d, 3*p = 2*d + 1117025 + 4816235. Let o = 498392731/168 + d. Let x = o - -10/21. Find the common denominator of -83/8 and x.
8
Let r(q) be the second derivative of q**4/12 - 7*q**3/6 - 2*q**2 + 3*q. Calculate the least common multiple of r(8) and 14.
28
Suppose 23 = q + 3. Let s(m) = 21*m**3 - m**2 - m + 1. Let f be (-2)/(-3)*3/2. What is the least common multiple of q and s(f)?
20
Let c = 7 + 15. Let y(x) = x**2 - x + 4. Calculate the least common multiple of y(3) and c.
110
Let l = 33 + -77. Let o be (47602/l)/(4/(-8)). Let r = 2162 - o. Calculate the common denominator of -53/11 and r.
11
Let m = -417589/10 - -41632. Suppose -4*v = -4*u + 484, -3*v + 0*u = 2*u + 368. Let y = v - m. Find the common denominator of -109/10 and y.
10
Let i be 10/(-5) + (-8473)/8888. Let r = i + -1/808. What is the common denominator of 85/22 and r?
22
Let i be ((-3)/(-342))/((-1)/524). Let f = i + 7213/912. Calculate the common denominator of -45/4 and f.
16
What is the common denominator of ((-8)/(-12))/(-1 - (-357)/321) and -49/33?
198
Let r = 97 - 85. Calculate the lowest common multiple of 108 and r.
108
Let j = 213/22 - 10. Let k = -408/11 + 6077/176. Calculate the common denominator of j and k.
176
Let b be (-1)/(-1) - (-54399)/9786. Le