2
Suppose -2*n + 28 = -24. Let s be (-6)/(-15) + n/10. Calculate the smallest common multiple of 20 and 3 + s - 0/(-3).
60
Let l(k) = -k + 1. Let w(v) = v - 11. Let o(p) = 2*l(p) + w(p). Let h be o(-8). Find the common denominator of (h/2)/((-2)/136) and -87/4.
4
Suppose -3*f + 8 = -4*d, 3*d + 4*f = 4*d + 15. Let y = -15805 - -316011/20. Calculate the common denominator of 1 + d + (-235)/80 and y.
80
Let u(j) = j**3 + 4*j**2 - 2*j - 5. Calculate the least common multiple of 22 and u(-3).
110
Calculate the common denominator of -59/12 and 2 + (-1286)/360 - 42/(-189).
60
What is the common denominator of 705/(-528) + -2 + (3 - 0) and 93/8?
176
Let n = 10 - 6. Suppose 2*v + 9 - 33 = -5*d, d - n = 0. Suppose -3*y + 6 = -v*y. What is the smallest common multiple of y and 5?
30
Let k be (-10)/((-3)/(-2 + -1)). Calculate the lowest common multiple of 18 and 12/20 - 114/k.
36
Suppose 0 = -3*t - 2*f + f - 44, 4*t = 5*f - 27. Let y(q) = 4*q**2 - 2*q + 1. What is the least common multiple of (-54)/t + (-2)/13 and y(1)?
12
Let h = 1561 + -9257/6. Calculate the common denominator of -39/124 and h.
372
Let o be (-6)/(-531)*(-41)/(-2). Let g = o - -12809/3540. Calculate the common denominator of 43/16 and g.
80
Let a(p) = 2*p**2 - 2. Let h be a(2). Calculate the smallest common multiple of (-88)/(-6) - h/9 and 2.
14
Let w = 606982 - 1247591/2. Let u = -18428 - w. Let s = u + 35423/22. What is the common denominator of s and -61/6?
66
Suppose 5*r - 21 = x, x + 0*x = -4*r + 15. Suppose 0 = 5*k + h - 86, 2*k + h = 4*h + 48. What is the least common multiple of k and r?
36
Let q = 11 - 20. Calculate the common denominator of 47/3 and 1162/(-288) - 2/q.
48
Suppose 3*y = -o + 13, 0 = 2*o + y - 6 - 5. Calculate the least common multiple of 6 and o.
12
Suppose 0 = 5*s + 2*v - 2, -4*s - 4*v - v = 12. Suppose 0*k + 40 = s*k. What is the lowest common multiple of (-6 + (7 - 3))*-5 and k?
20
Let b = 14 - 4. Let h be 2/(-4)*(-2 - 78). Calculate the lowest common multiple of b and (-2)/(-11) - h/(-22).
10
Let p(r) = -25*r**3 - 3*r**2 - 4*r - 1. Let z be p(3). Find the common denominator of 7/22 and (182/z)/(1/20).
22
Let b(s) = 5 - 6*s + 15*s - 2 - s**2. Calculate the smallest common multiple of 6 and b(8).
66
What is the common denominator of 15/(((-72)/3)/3) and -3/5?
40
Let k(p) = p**3 + 2*p**2 - 2*p. Let r be (5 - (5 - 2))/(-1). What is the lowest common multiple of 6 and k(r)?
12
What is the common denominator of (-5)/(-24)*(41 + 11) and 6/4*(-7)/9?
6
Let j be 1/(-1 + (-10)/(-12)). Let w(d) = 16*d + 4. Let p be w(j). What is the common denominator of -44/3 and -2 + 3 - p/(-18)?
9
Let m be (-20)/(-48)*(-48414)/(-20). Let g = -1020 + m. Let l = -11 - -59. Calculate the common denominator of l and g.
8
Suppose 300 = 2*s - 7*s. Calculate the common denominator of 4/(-10) - 699/s and -43/7.
28
Let i = 2 + 2. Suppose -j = 2*p + 2*j + 3, i*p + 51 = 3*j. What is the least common multiple of 1 and (-4)/18 - 83/p?
9
Let i be 2/1*1 - -3. Suppose i*k - 25 = -0*k. What is the lowest common multiple of k and 2?
10
Let t(l) = 6*l - 76. What is the least common multiple of t(22) and 16?
112
What is the common denominator of 2 - 5 - 222/(-20) and 2?
10
Calculate the lowest common multiple of 6 and (-15)/6*18/(-5).
18
Find the common denominator of 7/4*55/10 and 2 - ((-165)/6 + 1).
8
Let h = -5 - -9. Let q be 1340/(-1665) - h/18. Let b = 1159/444 + q. Find the common denominator of b and -79/16.
48
Suppose 0 = -4*v + 16, 0 = -2*y - 5*v - 0*v + 48. Suppose -g - g = -y. Let n = g - 1. What is the smallest common multiple of n and 3?
6
Let w(y) = 17*y**2 - 1. Suppose -z - 1 + 2 = 0. Calculate the smallest common multiple of w(z) and (-1 - 0)*(2 - 12).
80
Let m = 86/11 + -1047/110. Find the common denominator of 96/45 - 4/(-6) and m.
10
Let w = -1241/506 - -76/253. What is the common denominator of -25/16 and w?
368
Suppose -4*d + 3*j + j = -12, -3*j = d - 23. What is the lowest common multiple of d and 10?
40
Suppose -5*f = 10, 4*x - 4*f - 30 = -5*f. Let h = 17 + -8. Let d = 13 - h. What is the lowest common multiple of d and x?
8
Let i(w) = -w + 2. Let g be i(0). Suppose y = -4*x + 24, 2*y + 24 = 6*y - g*x. What is the lowest common multiple of 10 and y?
40
Let b be (2852/10)/(1/(-5)). Let s be b/(-1427) - 3/3. Let d = s + -155531/17124. What is the common denominator of -9/22 and d?
132
Suppose 4*s - 2*n = -0*s + 38, 0 = -3*s - 3*n + 6. Let m = 151 + -150. Calculate the smallest common multiple of s and m.
7
Suppose 0 = -5*t + 2*t + 108. Suppose 2*i - t = -i. What is the smallest common multiple of 2 and i?
12
Suppose -4*r + 20 = -c, -3*r = -0*c - c - 16. Let t be -1 + 1 + 32/c. What is the common denominator of 122/t - 0/(-1) and -29/11?
44
Let c = -577898 - -3459091/6. Let i = c + 1360. Calculate the common denominator of (12/(-14))/((-3)/10) and i.
42
Let q = 4 + -2. Suppose q*b = -17 + 67. Find the common denominator of 2/(-15)*b/3 and 62/9.
9
Let l = 176 + -373. Let j = l - -369/2. Find the common denominator of -8/3 and j.
6
Let d(o) = o**3 - 5*o**2 - 8*o. Let a be d(6). Let x = 22 + a. Let j(u) = 2*u - 9. Calculate the least common multiple of j(6) and x.
30
Let r = 2130 - 1398. Let z = -7273/10 + r. What is the common denominator of z and 13/4?
20
Let q = 20537/2 + -10662. Let b = q + 1637/4. What is the common denominator of b and 29/5?
20
Let j = -7284/11 + 144349/220. Calculate the common denominator of -23/2 and j.
20
Let r = -4 - -15. Suppose -b = -2*b + r. Calculate the lowest common multiple of 7 and b.
77
Let g(m) = -3*m + 3. Suppose 2*r = 1 + 3. Let c be g(r). Find the common denominator of 49/12 and (94/12)/(7/c).
84
Suppose 4*f - 20 = m, 3*m - 3*f + 15 = -0*f. Suppose m = 2*p - 4*p + 7160. Calculate the common denominator of 2/7 - p/(-504) and 87/10.
90
Let n = -5/132 - 5099/132. Let m = n + 1331/30. Let b = -155 + 3361/22. What is the common denominator of m and b?
110
Let y(x) = x**2 + 5*x + 3. Let j be y(-3). Find the common denominator of 55/6 and j/(-3) + 190/(-36).
18
Let v(k) = -k + 9. Let l be v(-11). Let b = 31 + -19. What is the least common multiple of b and l/(-50) - 104/(-10)?
60
Let d = -2874 - -48818/17. Find the common denominator of d and -17/7.
119
Let y = -23 - -29. What is the smallest common multiple of y and 6?
6
Suppose 0 = 3*c + 3, -19 = -3*k - 0*c + 4*c. Suppose 7*j - 10 = k*j. Suppose 5*b + j*w = -58 - 77, 4*w + 12 = -b. Find the common denominator of -16/11 and b.
11
Let d = -176 - -186. Calculate the lowest common multiple of 2 and d.
10
Let v(l) = -2*l**2 - 9*l - 3. Let g be v(-6). Let x = 12 - 3. What is the lowest common multiple of ((-4)/6)/(2/g) and x?
63
Let r = 109/3 + -13. Calculate the common denominator of (-2)/13 - (-2955)/(-312) and r.
24
Let r(v) = -v**2 - 11*v - 8. Let l be r(-10). Suppose -3964 + 30930 = l*d. Let c = d + -188863/14. What is the common denominator of 59/12 and c?
84
Let c(r) = -2. Let l(k) = -k - 10. Let p(m) = 9*c(m) - 2*l(m). Calculate the smallest common multiple of p(3) and 8.
8
Let p = 2407/4 + -11833/20. Let i be 279/(-12)*(-10)/189. Let j = i + -89/18. What is the common denominator of p and j?
70
Let w = -20/143 - 85/26. Let c = 4485/11 + -9079/22. Find the common denominator of w and c.
22
What is the common denominator of 1*(45/(-24) - 2) and 4/(-3)*834/(-96)?
24
Let b(h) = 12*h - 2. Let l = 0 + 2. Let v(m) = 12*m + 174. What is the lowest common multiple of b(l) and v(-13)?
198
Calculate the common denominator of 41/(-42) - (-5 - -6) and -143/12.
84
Let b = 38 + -20. Suppose -7*g = -5*g - b. What is the smallest common multiple of 4 and g?
36
Let g = -821/21 - -113/3. Let u(d) = d**3 + 4*d + 4. What is the common denominator of u(-3) and g?
7
Let g = 49/4 + -461/36. Calculate the common denominator of -33/4 and g.
36
Let j be (-4996)/(3/(-9) + 0). Let o = 315032/21 - j. Let t = o + 9/14. Find the common denominator of t and -17/20.
60
Suppose -5*i = -30 + 5. Suppose 1 = c + i*t, 23 - 4 = 3*c - t. Calculate the least common multiple of c and 3.
6
Suppose 4*g + 1 = 25. Suppose 5 = 5*w, -2*j + 2*w = g*w - 24. What is the smallest common multiple of 11 and j?
110
Let j = 5/4723511 - -43838903441/2031109730. Let n = 468/43 - j. Let q = -1080 - -9707/9. What is the common denominator of n and q?
90
