*u = -2*n + 35, 0*n = -5*u + 3*n + 35. What is the lowest common multiple of 2 and 1/u - (-320)/112?
6
Suppose 0*q = q - 3. Suppose -3 = -3*o - f + 25, 0 = -o + q*f - 4. Let h = -3 - -7. What is the lowest common multiple of o and h?
8
Suppose x + 4*x + 9 = -2*l, 0 = 2*l + x + 5. Let t be 2*(-1 - 5/l). Suppose -5*p = -3*c - 48, t = p - 2*c - 1. Calculate the lowest common multiple of 8 and p.
24
Let q = -115/14 + 6. Find the common denominator of ((-1812)/(-288))/(1/4*3) and q.
126
Find the common denominator of (-310)/(-90)*6/(-8) and (21/(-22))/(6/14).
132
Let i = 16 + -71/4. Let d = -8 + 3. Find the common denominator of i and d/2*445/(-25).
4
Let w = 2 - 0. Suppose 5 = w*n - 3*n + 2*h, n + 5 = -2*h. Let m = n - -11. What is the least common multiple of 6 and m?
6
Calculate the smallest common multiple of 4 and (28/(-10))/((-38)/(-10) - 4).
28
Let o be (-83124)/(-12)*1/14. Let k = 500 - o. What is the common denominator of 115/6 and k?
42
Let v = 346985/79849 - 57/7259. Let x = v - -2381/1386. Find the common denominator of 9/14 and x.
126
Suppose -4*c + 8 = -0*c. Calculate the lowest common multiple of c and 8.
8
Suppose 4*f = 5*f - 4. Let a = 1442/5 + -285. Calculate the common denominator of a and (f - 6)/(11/2).
55
Let s(o) be the first derivative of o**4/4 + 5*o**3/3 - o**2/2 + 5*o - 2. Calculate the least common multiple of 11 and s(-5).
110
Let c = 7 - 2. Suppose -k = -c, 0 = -3*h + k + k - 7. What is the smallest common multiple of 8 and (-70)/(-5) - (-1 - h)?
16
Let g be 12/7*(-315)/(-18). Suppose -2*v + 0*v + 2*m + 20 = 0, -3*v + 4*m = -g. What is the smallest common multiple of v and 4?
20
Suppose -4*r + 3*r = -6. What is the lowest common multiple of r and 5?
30
Let p = -66/7 + 17. What is the common denominator of p and -38/13?
91
Let f be (-38194)/10 + 2/5. Let d = f - -30605/8. What is the common denominator of d and ((-10)/6 - -2)*110/16?
24
Suppose 5*p - 6 - 14 = 0. What is the least common multiple of 22 and p?
44
Suppose -5 = -5*v - 4*u, -3*v - 7*u - 10 = -2*u. Calculate the smallest common multiple of 15 and v.
15
Let q = -1 + 3. Suppose -i + 2 + 4 = 0. What is the least common multiple of q and i?
6
Let l(c) = 2*c**2. Let m be l(-1). Calculate the common denominator of -133/18 and (-334)/20 + m/10.
18
Let f(p) = -3*p**2 + 4*p - 1. Let z be f(3). Calculate the common denominator of -11 and 514/24 + 4/z.
6
Find the common denominator of -1/12 and (-2 - 2/(-8)) + -2.
12
Let u be 118046/8*3/(-6). Let n be (-6)/27 - 66494/(-9). Let m = n + u. Calculate the common denominator of m and 65/16.
16
What is the common denominator of (-688)/168*(-1 - (-2)/8) and 21/32?
224
Let p(y) = -y + 12. Let l be p(13). Let b(x) = 13*x**2 + x. Suppose 4*w = 45 + 27. What is the smallest common multiple of w and b(l)?
36
Let k(i) = 4*i**3 + 1. Let c be k(-1). Calculate the common denominator of (-2)/16*(-142)/4 and (657/6 + c)/(-24).
16
What is the least common multiple of 21 and ((-8)/2)/(-8 + (-408)/(-54))?
63
Let w(a) = -2*a. Calculate the smallest common multiple of w(-5) and 2 + -2 + 20/1.
20
Let f be (-8)/(288/(-142) + 2). Calculate the common denominator of (0 - (-16)/(-5)) + 0 and f/42 + (-2)/6.
35
Suppose 85 = 5*d - 115. What is the common denominator of (d/(-4))/((-88)/6) and 73/10?
110
Let q(u) be the second derivative of u**5/20 + 2*u**4/3 - u**3/6 + 2*u. Let a be 3 - (-3 - (-28)/2). Calculate the lowest common multiple of q(a) and 2.
8
Let w = 12291025 + -13249723367/1078. Let g = w - -6/49. Calculate the common denominator of g and -47/8.
88
Let f(t) = 2*t - 2. Let w = -51 - -36. Calculate the smallest common multiple of f(7) and ((-24)/10)/(2/w).
36
Suppose 0 = 6*h - 4*h - 6. Calculate the least common multiple of h and 1.
3
Let a be (14/(-3))/((-1)/3). Let h be -1*((-8425)/a - 1). Let j = h + -602. What is the common denominator of 15/2 and j?
14
Suppose -5*x - 6201 = -0*x + 2*b, 0 = 3*x - 4*b + 3705. Let j = 8653/7 + x. What is the common denominator of j and -25?
7
Let s be (1/(-6))/((-6)/21036). Let j = 594 - s. Find the common denominator of j and ((-52)/(-10))/(1/(-2)).
15
Let z be (-9 + -3)*22/(-3). Let a = z - 60. What is the smallest common multiple of a and 6?
84
Let a = -28 - -39. Suppose -h + 2 = -1. What is the least common multiple of h and a?
33
Let h = -1319 + 9266/7. Calculate the common denominator of 27/11 and h.
77
Let i(d) = d**2 - d - 80. Let p be i(0). Let r be (-1)/5 - p/25. What is the common denominator of (89/(-12))/(r/2) and -79/18?
18
Let y = -12 + 15. Suppose y*h - 3 = 3. What is the least common multiple of h and 10?
10
Let w = 36 + -20. Calculate the smallest common multiple of w and 2.
16
Let o(b) = b**3 - 6*b**2 - 2. Let w be o(6). What is the common denominator of -67/3 and -1*(2 - w/4)?
6
Suppose 3*g - 5*g + 6 = 0. Suppose -g*x - 29 = -w, 2*w - 5*x + 0*x - 53 = 0. Let p = 16 - 10. What is the smallest common multiple of p and w?
42
Let s(j) = 20*j - 1. Let q = -2172 + 17339/8. Find the common denominator of s(-1) and q.
8
Let c(f) = -f**3 + 4*f**2 + f - 4. Let j be c(4). Suppose j*b + 528 = -2*b. Let t = b + 5359/20. Calculate the common denominator of t and -93/14.
140
Suppose -l + 16 = -0*l. Let x = -3 - -6. Let d = 9 + x. What is the lowest common multiple of l and d?
48
Let u = 363 - 3259/9. Find the common denominator of -46/27 and u.
27
Find the common denominator of 41/12 and 60/160*(-38)/(-3).
12
What is the common denominator of (-6)/2 + -1 + (-448)/(-90) and -107/30?
90
Suppose -22 + 70 = 3*n. Calculate the smallest common multiple of 20 and n.
80
Let k = -1222/27 - -14099/297. What is the common denominator of k and -31/9?
99
Let n(t) = -10*t - 20. Calculate the smallest common multiple of n(-4) and 23/3 - 1/(-3).
40
Let s(g) = -g**3 + 3*g**2 + g + 3. Let n be s(3). Calculate the smallest common multiple of n/27 - 176/(-18) and 8.
40
Let o = 899/665 - -1/190. Suppose 2*n + n - 6 = 0. What is the common denominator of (-1 + 74 + n)/(-22) and o?
154
Suppose 12 = 4*i, 63 = 4*s - s - i. Suppose 0 = 2*o - 32 - 4. What is the least common multiple of o and s?
198
Let v(z) = z - 3 + 3 + 0 + 16. Calculate the least common multiple of 22 and v(0).
176
Let z(v) = -v**3 + 3*v**2 + 6*v - 1. Suppose 3*h + 16 = 7*h. Suppose h*f - 2*q - 45 = -q, q = f - 12. What is the smallest common multiple of f and z(4)?
77
Let y = 68251/154 - 3123/7. Let r = 1075/14 + -212/7. Find the common denominator of y and r.
22
Let j = -50425/84 - -12220/21. Let i = -135/14 - j. What is the common denominator of i and (8/70)/(4/(-290))?
28
Suppose -d + 4 = d. Suppose -d*r = -4*u - 4*r + 18, -4*r - 20 = 0. What is the smallest common multiple of u and 6?
42
Let n(s) be the second derivative of 2*s + 0 + 1/6*s**3 + 11/12*s**4 + 0*s**2. What is the lowest common multiple of 9 and n(-1)?
90
Suppose 17 = -3*m + 161. Calculate the lowest common multiple of m and 10.
240
Suppose 4*m - 12 = 8. Calculate the least common multiple of m and 6.
30
Let d be ((-8)/(-42))/(10251/(-27)). Let h = d + -26519/6834. Calculate the common denominator of h and 67/20.
420
Let z = -12 - -17. Suppose -1 = -2*k + 9. Calculate the lowest common multiple of z and k.
5
Let m(c) = -2*c + 17. What is the lowest common multiple of 5 and m(-12)?
205
Let w = 1927/200 + -1/100. Let p = -211856/27461 + 2/3923. What is the common denominator of w and p?
56
Let i(s) = 14*s**3. Let l be 3/15 + 4/5. Let q be i(l). Let h = 277/20 - q. Calculate the common denominator of h and 49/4.
20
Let x = 3379 + -33707/10. Calculate the common denominator of 17/12 and x.
60
Let c = -10747/614 - -1/307. Let g = -183/4 - -383/8. What is the common denominator of c and g?
8
Suppose -4*b = -i - 25, -3*i + 14 - 4 = 5*b. Suppose 0*q - 40 = -b*q. What is the smallest common multiple of 10 and q?
40
Suppose 0*t - 50 = -5*t. Suppose -3*q = -z + 64, -14 = q - 3*z + t. What is the common denominator of q and -143/6?
6
Let d be (-4 - 1)*9/(-9). Suppose d*p = 8 + 12. What is the lowest common multiple of p and 5?
20
Let n = 3 - -2. Suppose v + 7 = -2*f, -5*v - f = 4 + 13. What is the smallest common multiple of 0 - (-3 + 9/v) and n?
30
Suppose 8 + 12 = 2*s. Let g be 16/32 - 62/(-4). Suppose 2*t + 4*y = 3*t, g = 4*y. Calculate the smallest common multiple of s and t.
80
Let j = 1757