).
154
Suppose 2*v - 186 + 182 = 0. Let q(g) = 2*g + 2. Calculate the lowest common multiple of q(2) and v.
6
Let r(y) = -y**3 + 8*y**2 + 9*y - 1. Let w(t) = -t**2 - 10*t - 7. Let o be w(-8). Let v be r(o). Find the common denominator of 55/9 and 4/v + (-585)/(-126).
126
What is the common denominator of -85/52 and 40/9*(-12)/195?
468
Suppose 0*i - 5*i - 57 = -3*l, -3*i + 3*l - 39 = 0. What is the smallest common multiple of 2/(-7)*(-12 + i) and 14?
42
Let u be (-5)/30 + 75/18. Calculate the common denominator of (-24)/4*u/(-6) + 38 and 38/91.
91
Suppose 12 = -0*d + 4*d. Let y(r) = -r**2 + 4*r - 5. Let f be y(3). What is the smallest common multiple of 8 and 3/d + f/(-2)?
8
Let y be (-3)/(1/8*15/5). Calculate the common denominator of (-13)/(-10) + 2*12/y and 25/7.
70
Calculate the smallest common multiple of 24 and 267 - 11*9/9.
768
Let o = -35834 - -29168915/814. What is the common denominator of o and -115/18?
7326
Let v = 1 + -2. What is the common denominator of (-4)/(-7) + 2/(-2) and v - ((-156)/(-20) + -3)?
35
Let w be ((-2)/(-344))/(12/32). Let m = w + -8147/1290. What is the common denominator of -111/98 and m?
490
Let f(k) = -k**2 - 11*k - 20. Let t(b) = 2*b - 16. Let v be t(6). Calculate the smallest common multiple of 13 and f(v).
104
Let p = 57/383 - 55303/34470. Calculate the common denominator of p and -39/20.
180
Let c(d) = 16*d - 59. What is the smallest common multiple of 99 and c(5)?
693
Suppose 12 + 4 = 4*g, 4*g = 5*l - 324. What is the least common multiple of l and 34?
68
Let f = -8637125/138 - -62587. Find the common denominator of f and 65/322.
966
Suppose 0 = 3*w - 15, 5*b - 5*w = 18255 + 12400. Let n be -4 - (45317/b + -1). Let j = n - -8/767. What is the common denominator of 1/11 and j?
88
Let x(p) = 3*p. Suppose 5*m = 3*m + 2. Let t be x(m). Suppose -10 = -2*d + 2*o, d + t*o + 2 = 3. Calculate the least common multiple of 8 and d.
8
Let f(w) = -w**3 - 6*w**2 - 7*w - 18. What is the smallest common multiple of 56 and f(-6)?
168
Let d = 2477 - 39689/16. Find the common denominator of -75/4 and d.
16
Let h = 37537/3696 + -7/528. Let u be 2 - (1 + (-1254)/56). Let w = u - h. What is the common denominator of 31/10 and w?
20
Let r = -5284 - -5302. Suppose 0 = -z + 2*n + 4 + 12, 3*z - 5*n = 43. What is the least common multiple of z and r?
18
Calculate the lowest common multiple of (-48)/(-21) + (-4)/14 and (5/3)/((-1945)/(-7002)).
6
Let v = 255 + -95. What is the lowest common multiple of 16 and v?
160
Let t be 120757/(-56) - (-8)/2. Let c = 2142 + t. Calculate the common denominator of c and ((-4)/48)/(8/(-606)).
16
Let z = -220 + 256. Calculate the lowest common multiple of z and 48.
144
Let o(x) = -x**3 + 9*x**2 - 10*x + 10. Let w(z) = z**2 + 11*z + 5. Let h be w(-11). Calculate the least common multiple of 14 and o(h).
420
Let f = 68 + 60. Suppose 0 = -c - 41 - f. Let a = -853/5 - c. What is the common denominator of a and -7/6?
30
Let o = 3024/295 + -3/59. Suppose -3*y - 8 = -7*y. Find the common denominator of 1/(y - 71/41) and o.
55
Let p = 21392/31 + -690. Let j = -1595/217 + p. What is the common denominator of 4/(-6)*(-19)/2 and j?
21
Suppose l = -18*l + 152. Suppose 0 = k - 0*k - 3. Suppose -n = -k*n + 6. What is the lowest common multiple of l and n?
24
Suppose 3*u + 4*n = 2*n + 159, 0 = 5*u - 2*n - 249. Calculate the smallest common multiple of u and 3.
51
Calculate the common denominator of (2/11 + 1490/(-330))/(-6) and (-129)/(-54) - (-2)/(-2).
18
Suppose 73*u - 69*u - 20 = 0. Suppose 0 = 3*p + 15, 43 = 2*c + c - u*p. What is the least common multiple of c and 14?
42
Let t(j) = -j + 3. Let h be t(0). Suppose -17 = -5*y + h. Suppose 6*q - 3*a - 13 = 2*q, a = y*q - 7. Calculate the smallest common multiple of 11 and q.
11
Let y = 132140 + -2509835/19. Let p = 7439/114 - y. What is the common denominator of -89/2 and p?
6
What is the smallest common multiple of 17/((-68)/(-42))*48/7 and 80?
720
Let m = -8650965/128 + 67585. What is the common denominator of -3/8 and m?
128
Let w = -22 - -32. Find the common denominator of 1/24 and 5/w + 35/18.
72
Suppose j = -0*n + 5*n + 122, 6 = 3*j. What is the smallest common multiple of 2/1 + 8 + 2 and (-6)/n - (-94)/8?
12
Let c = -859 - -881. Calculate the least common multiple of c and 6/21 - 236/(-7).
374
Suppose -3*q + 17*q - 9422 = 0. Let t = q + -1988/3. Calculate the common denominator of -149/6 and t.
6
Calculate the common denominator of (-118)/(-40)*10/12 and ((-111)/30 - -4)*(5622/(-396) + 7).
264
What is the common denominator of -3 - 9/((-504)/211) and -47?
56
Let n = -6/1033 + -63992/9297. Let k = -3199/11 - -291. What is the common denominator of n and k?
99
Let t = -10 + 24. Calculate the smallest common multiple of 366 and t.
2562
Suppose -2*x + 5*x - 33 = 0. Let f(v) = v**3 + 6*v**2 - 10*v - 14. Let q be f(-7). Suppose 10 = -q*o + 8*o. What is the smallest common multiple of o and x?
110
Suppose 3*h = o + 6*h + 2, -5*o = -5*h + 10. Let x be ((-2)/o)/((-2)/2). Let w = 3 - x. What is the least common multiple of 11 and w?
44
Let b = -420 + 552. Calculate the smallest common multiple of 51 and b.
2244
What is the common denominator of 63/248 and (26/32)/(7 + 65/(-10))?
248
Calculate the common denominator of (-36)/(-63) - (2 + (-4105)/840) and 35/3.
24
Let z = 26039787/280 - 741747/8. Let t = z + -1923/7. Calculate the common denominator of 155/102 and t.
1020
Let d = -145357/86220 + 11/4311. Calculate the common denominator of d and -8/45.
180
Let z = -15 + 16. Calculate the smallest common multiple of (z/2)/((-4)/(-40)) and 2.
10
Suppose -5*a = -3*l - 80, -3*a + 4*l - 2*l + 48 = 0. Suppose r + a = -3*r. Let g = r - -20. Calculate the smallest common multiple of 16 and g.
16
Find the common denominator of 67/54 and -6 + 260/56 - (2 + -1).
378
Suppose -i = -t + 1, 4*i + i = 15. Calculate the lowest common multiple of (1*t)/((-2)/1)*-6 and 3.
12
Suppose 0 = 20*b - 3958 - 602. Calculate the smallest common multiple of b and 8.
456
Suppose 6*c - 3*d = 4*c + 246, 3*c - 3*d - 366 = 0. Suppose -19*l + c = -9*l. Calculate the smallest common multiple of l and 30.
60
Suppose -297 - 117 = -9*n. Let b = n - 36. Calculate the smallest common multiple of (14 - -1)*1 + -1 and b.
70
Let r be (3/12)/((-2)/9148). Let j = -1118 - r. What is the common denominator of -37/2 and j?
2
Calculate the smallest common multiple of 5 and (-751)/(-5) + 1/(-5)*1.
150
Let s = 3502633/80 - 43784. What is the common denominator of s and -21/25?
400
Let x(s) = s**2 - 3*s - 4. Let q be x(5). What is the common denominator of (194/(-16) + 2)/(-6) and 63/99 + q/4?
176
Suppose 0 = -2*j - 8, -4 = -w + 4*j + 2. Let p = 21 - 5. What is the smallest common multiple of p and (-176)/w + (-2)/(-5)?
144
Let a = 1 + 2. Suppose -a*z + 3 = -3. What is the common denominator of 0 + z - 120/(-25) and -42/5?
5
Suppose 5*g + 5*z - 49 = 4*z, z - 39 = -4*g. Suppose -5*a - 5 = i - 62, -6 = -3*i. Calculate the smallest common multiple of g and a.
110
Let u = -28 + 30. Suppose -6 - 14 = -5*w, -w = -u*m + 6. Calculate the least common multiple of m and 5.
5
Let o(j) = 68*j - 328. Calculate the least common multiple of 180 and o(6).
720
Let g(l) = -2*l**2 + 14*l + 2. Calculate the lowest common multiple of g(7) and 11.
22
Let s = 50 - 395/8. Calculate the common denominator of (-15)/10*1/3*52 and s.
8
Let m = 78 + -41. Suppose -m = -3*x + 2*p, -3*x + 5*p = -39 - 4. Calculate the least common multiple of 1 and x.
11
Suppose -2 = -11*k + 31. Find the common denominator of 82/33 and (116*k/18)/(-1) + -1.
33
Let m = -56 - -99. Suppose -42*x + m*x = 8. What is the smallest common multiple of x and 10?
40
Suppose 2*o - 3 = -o, -3*u = -5*o + 5. Let y = 10 - 8. Suppose u = -l + y*l + 15. What is the common denominator of l and -51/5?
5
Suppose -21*f = -3*p - 23*f + 48, -2*p + 3*f + 19 = 0. Suppose z = -z - 8. Let u(d) = -d**2 - 6*d - 6. What is the lowest common multiple of u(z) and p?
14
Let i = 3635213 - 36399749/10. Let u = i + 4768. Calculate the common denominator of u and (-93)/60 + (-1)/(-2).
20
Let i(q) = q**3 - 10*q**2 + q - 10. Let v be i(10). Suppose v = -0*a - a + 1. Let u(j) = -j + 2. Calculate the lowest common multiple of u(0) and a.
2
Calculate the common denominator of 1*2/(-5) + 321/40 and (-102)/16