
9
Let k = 3 - -1. Suppose -k*i = -3*l + 17, 0 = 4*l - 3*i - 10 - 15. Suppose 7*h + 2*j - 38 = 2*h, -j = 1. What is the smallest common multiple of l and h?
56
Let x = -1904/9773 + 577948697/215006. Let z = -2689 + x. Calculate the common denominator of (-3)/(-36)*(-86)/3 and z.
198
Suppose -4*z - 10 = -2*b, -5 = -3*b + 6*z - 5*z. Suppose 3*n - i = 4, -3*n + 5*i = -5*n - 20. Calculate the lowest common multiple of 9/(0 + n - -1) and b.
9
Suppose -121 + 31 = -3*n. Calculate the smallest common multiple of n and 12.
60
Suppose -c = -2*c + 4. Suppose 5*x = 4*o - 44, -c*x = 3*o - o - 22. What is the smallest common multiple of o and 2?
22
Let c(s) = s**3 + 7*s**2 - 9*s. Calculate the lowest common multiple of c(-8) and 1.
8
Let b be 50/(-18) + (-2)/9. Let d = b - -5. Suppose d*m + 3*y = -0*y + 39, -4*y = 4*m - 76. Calculate the least common multiple of m and 16.
144
Suppose -5*k - 4 = -5*z + 41, -5*k - 41 = -4*z. Suppose -9 + z = -r. Let a = 1 + r. What is the least common multiple of a and 4?
12
Let o = 23 + -5. Calculate the lowest common multiple of o and 8.
72
Suppose 55 = 2*h - 11. What is the common denominator of 8/(-5)*15/h and 35?
11
Let z = 1218/11 + -3437/22. Let h = 1343/2 + -2629/4. Find the common denominator of z and h.
4
Let z(t) = t. Let y(w) = w**2 - w - 7. Let j(g) = y(g) - 3*z(g). Calculate the least common multiple of j(6) and (24/10)/((-6)/(-20)).
40
Let s(k) = -k + 10. Let g be s(6). What is the smallest common multiple of 38 and -21*g/12*-2?
266
Let l be 1 + -1 - (-1 + 0). Calculate the lowest common multiple of 11 and 3 - 3 - l*-4.
44
Let o = -297509/90 + 16488/5. What is the common denominator of o and -133/18?
18
Let x = 2/1399171 + -27805725299/11193368. Let i = x + 2475. Calculate the common denominator of -81/4 and i.
8
Let h be 4701/(-30)*(-2 - -6). Let b = h - -38033/60. Let f = 28903/6 + -4796. What is the common denominator of f and b?
12
Let i(t) = 2*t**2 + 1. Let z be i(-1). Suppose 4*s + z*m = -3567, 986 = -2*s + 2*m - 808. Calculate the common denominator of ((-2)/72)/(3/s) and 65/18.
18
Let k = 145803/22 + -6625. Calculate the common denominator of 1/4 + (-83)/(-8) and k.
88
Let b(k) = -k**3 - k**2 - k + 1. Let q be b(0). Let y(f) = -15*f + 4. What is the common denominator of y(3) and q/4 + 31/36?
9
Suppose -5*j + 0 = -10. Let f be 4/(-2) - (1 + -7). Suppose 2*r + j*r - f = 0. What is the smallest common multiple of r and 1?
1
What is the least common multiple of 2 and (-5 - 3)*-4*1/2?
16
Let z(d) = d**3 + 9*d**2 + 10*d + 17. What is the smallest common multiple of 5 and z(-8)?
5
Let g be 703698/(-48420) + 2/5. Let b = -9/269 + g. What is the common denominator of 1/14 and b?
42
Let n = -3/89 - 3281/356. What is the common denominator of 61/12 and n?
12
Suppose -4*n + 2*n = -2. Let x be 239420/32 - (n - 0). Let l = -7492 + x. What is the common denominator of -3/4 and l?
8
Calculate the common denominator of -16 + 14 - (0 + (-9)/10) and -33/20.
20
Let c = -3374364 - -47222029/14. Let x = -1366 - c. Let n = 2/575 + -1753/8050. Find the common denominator of x and n.
14
Let l(a) = 5*a + 48. Let t = -20 + 42. What is the lowest common multiple of t and l(-6)?
198
Let o = 343949/20 + -17203. Calculate the common denominator of (1/(-18))/(2/194) and o.
180
Suppose z + 2*z = 63. Suppose -3*d - 9 = -z. Calculate the least common multiple of 7 and d.
28
Let n = 23555/6 + -3941. Find the common denominator of n and -47/20.
60
Suppose 68 = 4*n + 3*y - y, 4*y = -n + 10. Suppose 74 - 178 = -4*c. Let r = 48 - c. What is the lowest common multiple of n and r?
198
Find the common denominator of -8/27 and 8/((-208)/20 - -5).
27
Calculate the common denominator of -6 - -10 - (-22)/12 and -83/4.
12
Suppose 3*y + 2*b - 6 = -y, 4*y + 3*b = 3. Let k = 5/2 - 21. What is the common denominator of (y/22)/((-1)/12) and k?
22
Let g = -115 - -179. Suppose 3*b = -b + g. Suppose 1 = m - 1. Calculate the lowest common multiple of m and b.
16
Let h = -191/2 + 144. Calculate the common denominator of 10/11 and h.
22
Suppose 0 = 14*p - 9*p - 25. What is the smallest common multiple of p and 5?
5
Suppose 0 = -4*v - v - 60. Let j be (-4336)/14*81/v. Let z = j - 2087. What is the common denominator of 14 and z?
7
Suppose 170 = 6*t - 3*t - 5*p, -52 = -t + 4*p. Calculate the least common multiple of 11 and t.
660
What is the common denominator of ((-6)/(-36))/((-2)/(-230)) and 95/12?
12
Suppose 0 = -5*j - 17577 + 1842. Let d = j - -25255/8. Calculate the common denominator of d and -12.
8
Suppose -5 = r + 2*w - 15, 4*r = -4*w + 20. Suppose -6 = -2*x, -4*f + 5*x + 11 + 22 = r. Calculate the smallest common multiple of f and 6.
12
Let z be (298/(-4))/(4 + 0). Let n be ((4137/(-20))/(-7))/(-2). Let i = n - z. What is the common denominator of i and 77/8?
40
Suppose 0 = f - 3*f + 12. What is the common denominator of -113/14 and (-4 - -3)*1/f?
42
Suppose -l + 1436 = 3*g, l = g + 641 + 811. Let d = l - 8561/6. What is the common denominator of 101/2 and d?
6
Suppose 22 = -3*a + 76. Suppose -5*j = 2*v + 10 + 6, 3*v = 5*j + 26. Calculate the lowest common multiple of a and ((-84)/8)/(3/j).
126
Let f = 12435/3656 - 12/457. What is the common denominator of f and 77/18?
72
Let z(v) = 2*v**2 - 5*v + 2. Let d be z(3). Find the common denominator of 151/12 and (-35)/(-28)*(-57)/d.
12
Let s(q) = q**2 + 13*q - 18. Calculate the smallest common multiple of 68 and s(-15).
204
Let r = -1015 + 4109/4. Calculate the common denominator of r and 85/4.
4
Let m(b) = -32*b + 4. Let g(o) = o. Let c(z) = 5*g(z) + m(z). Let a be c(-6). Find the common denominator of (-1)/4 + a/56 and 46/5.
35
Let r be ((-30)/(-9))/5*-3. Let d = -2/865 - -61439/10380. What is the common denominator of d and r + 51/(-4) + 1?
12
Let s be ((-1)/2)/((-3)/78). Suppose 3*a - 8 = 10. Suppose 3*d - a = -z, 4*z + d + 0*d = s. Calculate the least common multiple of z and 6.
6
What is the common denominator of 3/(-4) + (-1691)/228 and -42/5?
30
Suppose 0 = 3*v - v + 368. Let u = 30 - 18. What is the common denominator of (v/u)/(8/10) and 43?
6
Let x = -90/19 + 1018/247. What is the common denominator of 53/6 and x?
78
Let m = -2876/9 + 320. Let a(b) = -b + 11. What is the common denominator of m and a(8)?
9
Let a = -5713/45 + 627/5. Find the common denominator of a and -92/15.
45
Find the common denominator of 54/7 and 8 + -9 + 53*(-2)/18.
63
Suppose -5*a + a = 12. Let g(b) = -3*b - 1. Calculate the least common multiple of g(a) and 1.
8
Let j = 48 + -28. Calculate the least common multiple of 20 and j.
20
Let v(q) = -3*q - 2. Let m be v(-2). Suppose -h + m + 0 = 0. Suppose -p = h*t + 10, 4*p - 5 = -t - 0. What is the least common multiple of 14 and p?
14
Let w = -4709/2 - -2399. Calculate the common denominator of 67/8 and w.
8
Let j = 9/103 + -3167/2060. What is the common denominator of (-15)/(-220)*(-188)/6 and j?
220
Suppose 5*v - 22 = -0*v - 2*u, 2*u + 14 = 4*v. Suppose -61 = -4*i - 5*f, v*i + 0*f - 16 = 4*f. What is the lowest common multiple of i and 6?
18
Let q(c) be the first derivative of -c**4/4 - c**3/3 + c**2/2 + 15*c - 1. Let d be q(0). Find the common denominator of -19/5 and (-260)/d*3/(-14).
35
Let i be 1/5 - (-1)/(-5). Suppose i*j = 4*j + 3*x + 112, 0 = -3*j - 5*x - 95. Let t = 37 + j. What is the lowest common multiple of 22 and t?
132
Suppose -3*d - 19 = -f - 4*d, -105 = -5*f + 5*d. Suppose -8 = -5*a + 2. Suppose 3*k = 20 - a. What is the smallest common multiple of f and k?
60
Let v be 3 + (22/(-7) - 0). Let y = v - 411/14. Find the common denominator of y and -10/9.
18
Let p(y) = -y**2 + 13*y + 21. Calculate the lowest common multiple of p(14) and 1.
7
Suppose -56 = 3*k + w, -2*k + 4*w = 3*k + 65. Let m = 3 - k. Let u = 1 - -3. Calculate the lowest common multiple of m and u.
20
Let h = -189711 - -17643560/93. Let w = h + 27/124. Find the common denominator of -81/2 and w.
12
What is the least common multiple of 16 and 34/3 + (-8)/(-12)?
48
Let o = -118/5 - -249/10. Let b = 2/2983 + -173028/20881. Find the common denominator of o and b.
70
Let d(m) = -7 - m + 0*m - 2*m. What is the least common multiple of d(-5) and 2?
8
Suppose q - 5 = 2. What is the smallest common multiple of 4 and q?
28
Suppose -3*h + 5*d = -55, -h - d + 23 = 2*d. Let v = 41 + -19. What is the least co