9 and h.
3073
Let t = 7219/355 + -2/1065. Calculate the common denominator of 41/85 and t.
255
Let g = -426 + 466. What is the lowest common multiple of g and 20?
40
Let j = -311023/30 + 10362. Find the common denominator of j and 68/345.
690
Suppose -3*f = 4*p - 4, -p = 4*f + 12 - 0. Suppose -3*w = 5*z - 191, -p*w + 2 = 3*z - 249. Calculate the smallest common multiple of 18 and w.
558
Suppose -13 = -2*x + 5*l, 0 = 5*x + 45*l - 47*l - 64. Let v = -24 + 34. What is the least common multiple of x and v?
70
Let h = 2677 - 21387/8. What is the common denominator of h and (-14)/(168/(-137)) + (-2)/6?
24
Calculate the smallest common multiple of 2 and 2/4 + (-27)/(-18).
2
Let k(f) = 0*f - 7*f + f + 7 - f**2. Let l be k(-6). Suppose 5*i - 97 = -l. What is the least common multiple of 5 and i?
90
Let i(g) = -3*g**2 - 2*g + 2. Let w be i(-2). Let d = w + 11. Suppose -c = -d - 3. What is the least common multiple of c and 11?
88
Let n = -199083/22 + 9051. What is the common denominator of 13/126 and n?
1386
Let t be (70/(-7))/(2 - 0). Let f(u) = -u**3 - 4*u**2 + 2*u - 3. Suppose 3 = -3*y - 3*z, 4*y + 2*z - 5 = 1. What is the lowest common multiple of y and f(t)?
12
Suppose -4*w = 5*p - 372, -w - 124 = -4*p + 161. Suppose 19*t - 11*t - p = 0. What is the least common multiple of 8 and t?
72
Let c = 1555579/92 + -16908. Find the common denominator of c and 53/2.
92
Let p = -64 - -64. Calculate the common denominator of (1 + 1)*(p - (-94)/(-64)) and -57/22.
176
Let k(y) = y**2 + 4*y + 6. Let o be (1 + -2)/(1/(-8)). Suppose 4*x + 30 = 2*j, -o = 3*j - 23. Calculate the least common multiple of k(x) and 6.
66
Let q be (-5)/((-14)/8 - (-15)/20). Suppose -q*o = -68 - 12. Calculate the smallest common multiple of 9 and o.
144
Calculate the common denominator of (-1 - 530/18)*(-33)/(-352) and 11/27.
432
Let y be 232278/(-114) - (-2)/2. Let h = y - -2038. Find the common denominator of h and -67/4.
76
Suppose -5 = -n, -3*s - 10 - 4 = -4*n. Suppose -5*z - q = 4*q - 45, s*z = 2*q + 10. Calculate the least common multiple of z and 4.
28
Let i(b) be the first derivative of -b**3/3 + 9*b**2/2 + b + 1. Calculate the lowest common multiple of i(8) and 5 + (72/(-84))/(6/28).
9
Let d = 1289 + -30823/24. Calculate the common denominator of -101/72 and d.
72
Let l(a) = -9*a**3 - 2*a**2 + 2*a + 3. Let g be l(-2). Let z = -61 + g. What is the lowest common multiple of 10 and z?
10
Suppose -4*q - 3*i + 641 = 0, q = -q - 2*i + 318. What is the lowest common multiple of q and 16?
656
Let z = 804 + -1394. Let p be (-1)/(1768/z + 3). Find the common denominator of 7/10 and p/30 + (-2)/3.
10
Let h = 107523/40 - 13251/5. Let k = -5877/152 + h. What is the common denominator of k and -37/9?
171
Let j = 34665/4408 - -6/551. Let f = 902/51 + -40/17. Find the common denominator of f and j.
24
Let o(y) = 13*y - 22. What is the lowest common multiple of o(2) and 2?
4
Let w = 122 - 116. What is the lowest common multiple of 2 and w?
6
Let s = 2090 + -2083. Calculate the least common multiple of 435 and s.
3045
Let c(p) = p**2 - 2*p - 10. Let j be c(9). Calculate the common denominator of ((-7)/(-14))/(2/j - 0) and 65/12.
12
Let m = 10067 + -362443/36. Let h = 2861 - 40037/14. Calculate the common denominator of h and m.
252
Let k(y) = -3*y + 39. Calculate the lowest common multiple of 12 and k(6).
84
Suppose -3*p = -3 - 3. Suppose 0*f - 2*f = 0. Suppose 2*m - 4 = -f*m. Calculate the smallest common multiple of p and m.
2
Let b be (1 + 2)*(3 + -1)/(-2). What is the common denominator of b - (39/30)/(4/50) and ((-2)/(-8))/((-3)/286)?
12
Let g(y) be the first derivative of 10*y**3/3 - y**2/2 - 4*y - 14. Calculate the least common multiple of g(-2) and 5.
190
Let m = -80498/47 + 1713. Find the common denominator of m and -53/188.
188
Let w = 53 - 32. What is the least common multiple of 27 and w?
189
Find the common denominator of ((-79)/65)/((-6)/15) and -77/18.
234
Suppose 0 = -5*m + 32 + 78. Calculate the lowest common multiple of m and 30.
330
Let g = -214 + 314. Calculate the smallest common multiple of 70 and g.
700
Suppose -4*a - 20 + 104 = 4*s, 2*s + 4*a = 40. Let x = 8 - 6. Calculate the lowest common multiple of x and s.
22
Let a be (-8)/3*108/(-18). Suppose 0 = 4*u - 64 + a. What is the smallest common multiple of 8 and u?
24
Let t = -87457/1211905 - 49/14870. Find the common denominator of 9/20 and t.
3260
Let c(w) = w**2 + 4*w + 17. Calculate the lowest common multiple of 7 and c(-3).
14
Let q be 2*1 - 25685/870. Let p = q + 2/87. Find the common denominator of p and 208/(-24) + (0 - 2).
6
Let w = 62263 + -55787657/896. Let p = w - 31781/2688. Find the common denominator of p and (-1*73/2)/(-5).
30
Suppose -f = 4*u - 470, f = 2*f + 2*u - 466. What is the common denominator of -35/8 and 1169/f + (-3)/6?
264
Let h(y) = -66*y + 23. Let r be h(12). Let t = r - -3099/4. Find the common denominator of t and 37/2.
4
Calculate the smallest common multiple of (8/(-5))/((-68)/(-70) + -1) and 12.
168
Let b = 4 - 2. Let t(m) = 2*m - 7. Let g be t(12). Let j(h) = -h**2 + 18*h - 11. What is the least common multiple of b and j(g)?
6
Let a(v) = v**2 + 7*v - 12. Let h be a(-8). What is the least common multiple of 1 + h + 33 - 0 and 7?
210
Let v = 166 - 163. Suppose i - 3 = -7. Calculate the least common multiple of ((-44)/(-8))/((-2)/i) and v.
33
Let a = 2/45 - -68/495. Let h = 869909/22 + -39534. Let z = a + h. Find the common denominator of z and 35.
2
Suppose -4*g + 5*v + 27 + 54 = 0, 4*g - 102 = -2*v. What is the lowest common multiple of g and 30?
120
Calculate the least common multiple of 28 and (-786)/(-14) - (5 - 204/42).
56
What is the common denominator of 15/2 and (-27012)/14040 - 8/52?
90
Let w = -727219708225605563/1720358528372232 - 6711/11922840152. Let s = w + -5/20613. Let j = s - -419. What is the common denominator of j and -145/6?
42
Calculate the common denominator of -53/18 and ((-1)/2)/(868/(-1358)).
1116
Suppose -312 = -2*g - l + 204, 0 = -4*g - 9*l + 1060. Calculate the least common multiple of 288 and g.
2304
Let z = 4586 + -114628/25. Let o = 624208/45 + -13870. What is the common denominator of z and o?
225
Let m be (4*(-21)/6)/2. Let h(y) = y**3 + 8*y**2 + 7*y + 6. Suppose 5*i - 3*i - 16 = 0. Calculate the smallest common multiple of h(m) and i.
24
Find the common denominator of -3 + 0 + -94*4/80 and 418/80 - (-6)/15.
40
Suppose 8*r = 3*r + 60. Suppose -3*f = -9 - r. Calculate the least common multiple of f and 1/1 + (21 - 19).
21
Let w(s) = s**3 - 2*s**2 - 2*s - 3. Let c be w(4). Suppose -5*p - 139 = c. What is the lowest common multiple of (-1)/(-2 - 60/p) and 12?
24
Suppose 5*j - 8 - 17 = 0. Let v be ((-20)/8)/((-1)/(-2)). Let p = v - -16. Calculate the least common multiple of p and j.
55
Suppose -2*g + 3 = 5*o, -5*o + 34 - 129 = -5*g. Suppose 2*f = 2*p - g, 34 = 5*p - 2*f - 2*f. Calculate the least common multiple of p and ((-10)/15)/((-2)/33).
66
Suppose 2*m - 5*b = 400, 0 = b - 1 + 3. Suppose -6*z - 3*y = -5*z - 31, 3*y - 6 = 0. What is the smallest common multiple of 14 and (-2)/(-10) + m/z?
56
Suppose 2*h + 4 = 4*h. Suppose 204 = 2*o + h*i, -2*i + 122 = o + 19. Find the common denominator of 31/3 and o*2/(-20)*1.
30
Let f = 31 + -25. What is the common denominator of -1/15 and 2/f*(-403)/169?
195
Suppose 0 = 4*i - 8*i - 16. Let m(n) = 3*n**3 + 2*n**2 - 3*n - 4. Let q be m(4). Calculate the common denominator of -41/20 and 1306/q + i/26.
40
Suppose -616*a + 3*g = -619*a + 33, -2*g + 36 = 3*a. What is the smallest common multiple of a and (0 - 1)*-2*8?
112
Suppose 4*s - 25 = 9*s. Calculate the common denominator of 66/(-22) + 2 + (-19)/16 and s/(-6)*6/(-8).
16
Let j(l) = 2*l + 9. Let b be j(-12). What is the least common multiple of (36/b)/((-4)/20) and 22?
132
Suppose 0 = 5*o + 5*w - 130, -w - w - 158 = -5*o. Calculate the smallest common multiple of 30 and o.
30
Suppose 3*j - 3*f + 4 + 5 = 0, -j - 3*f - 15 = 0. Let t(s) = -4*s - 20. Calculate the smallest common multiple of 18 and t(j).
36
Let j = 61246 - 12494083/204. Find the common denominator of j and -111/20.
1020
Let l be (-1)/2 + (6 - 5005/14). Find the common denominator of (1560/l)/15 - (2 - 1) and 111/20.
220
Let t(c) = -c + 2. Let u be t(4). Let v = 20/7 + u. Calculate the common denominator 