y + 7 - 1. Let x be (1 + 7/y)*-18. Suppose x + 40 = 4*j. What is the smallest common multiple of j and 6?
48
Let z = 54 + -36. What is the least common multiple of z and 2?
18
Let t = 11138 + -244957/22. Find the common denominator of 11/158 and t.
1738
Let m be 60*1/((-6)/4). Let k = -18 - m. Calculate the common denominator of 89/6 and (0 + 1)*73/k.
66
Suppose 0 = -3*p - 12, 3*m + 16 = -p - 3*p. Suppose 4*f - x = 57 + 18, m = -5*f - 4*x + 78. What is the least common multiple of 4 and f?
36
Let x(o) be the second derivative of 7*o**4/12 + o**3/6 - o. What is the least common multiple of 7 and x(-1)?
42
Suppose -4*o - 8 = 0, 0*o = -2*i + o + 20. Calculate the lowest common multiple of 9 and i.
9
Suppose 3*f = -2*f + 20. What is the smallest common multiple of 16 and (f/(-10))/((-8)/40)?
16
Let v = 11 - -3. What is the lowest common multiple of (-21)/(-4) - (-1)/(-4) and 4/v + 80/14?
30
Let u = 189526/21 - 9022. Find the common denominator of u and -103/6.
42
Suppose -2*m + 4*m = 0. Suppose 5*y + 20 = m, -5*y + 12 = -4*w - 0. Let v = 11 + w. What is the lowest common multiple of v and 8?
24
Suppose 0*d + 10 = 5*d. Suppose -d*j = 3*w - 52, 2*j + 108 = 3*w + 2*w. What is the lowest common multiple of 10 and w?
20
Suppose 0 = -2*r + 2. Let i = r - -8. What is the least common multiple of i and 3?
9
Let s(k) = -127*k + 7. Let j(i) = 191*i - 10. Let v(m) = 5*j(m) + 7*s(m). Let r be v(-2). Let g = r + 1466/11. Find the common denominator of 101/6 and g.
66
Let r = -181/2 + 64. Calculate the common denominator of -1/2 and r.
2
Let d = -573/5 + 113. What is the common denominator of d and ((-7)/(-12))/(2/(-15))?
40
Let i be (-977461834)/(-180) + 2/(-9). Let p = -5442793 + i. Let z = p - -12460. Find the common denominator of 40 and z.
10
Let x = -196/17 - -91/204. Let q be ((-178)/672)/((-1)/9). Let l = q + 3/56. What is the common denominator of l and x?
48
Let c be ((-3309)/6)/(8/30). Let z = c + 2079. Find the common denominator of 20/3 and z.
24
Find the common denominator of 2 + 3*94/(-20) and ((-87)/15)/((-9)/(-15)).
30
What is the least common multiple of 2/3 + (-4)/(-3) and 13?
26
Suppose 0*i = -2*i - 3*z - 2, 4*i - z = 10. Let v = i + -1. What is the common denominator of 79/4 and -1 + v - 150/(-8)?
4
Let d = 2581/4 - 670. Suppose -4*y - 4801 = -3*u, -3*y - 3*u - 3600 = -6*u. Let n = -7175/6 - y. What is the common denominator of d and n?
12
Suppose -5*w + 63 = 3*k, -3*k + 4*w - w + 39 = 0. Suppose -2*s + k = 2*s. What is the common denominator of (-6)/s + (-210)/(-55) and 5/12?
132
Let k be 0/(-4 + 3 + -1). Suppose -3*z - 4*a + 11 = -k*a, 0 = -5*z - 2*a + 37. Calculate the lowest common multiple of z and 2.
18
Let v = 2695/4 - 658. Calculate the common denominator of 53/7 and v.
28
Let z be (-143666)/(-16)*(-2)/20. Let f = z + 4468/5. Calculate the common denominator of 1*-1 + 489/36 and f.
48
What is the common denominator of -25/14 and (-349)/18 - (-16)/72?
42
Suppose -d + 4*d = -2*z + 50, 2*z - 68 = -4*d. Calculate the smallest common multiple of d and 30.
90
Let u = 0 + 0. Suppose -5*z + 5*y + 115 = u, 0 = -z - 0*z - y + 17. What is the smallest common multiple of 10 and z?
20
Let i be (-186)/(-45) + (-5)/20. Let n = i + -17/15. Calculate the common denominator of n and 20/11.
44
Suppose -5*x = 5*q - 35, -q + 2*q = -2. Let i = -6 - 19. Let w = 35 + i. Calculate the least common multiple of x and w.
90
Let f(l) = -l**2 - 13*l - 9. Let p be f(-8). Let o = -17 + p. What is the lowest common multiple of 6 and o?
42
Suppose 32 + 254 = 11*j. What is the least common multiple of 4 and j?
52
Suppose 3*x = 4*d - 27, 3*d - 22 = 4*d + 5*x. What is the common denominator of -31/10 and ((-1140)/(-432))/((-2)/d)?
120
What is the smallest common multiple of 1 and 2/2*(2 - -2)?
4
Let a = -95/167 + -17253/1670. Calculate the common denominator of a and -76/9.
90
Let z(c) = 4*c. Let p be z(1). Let w(v) = -2*v + 6. Let n be w(p). What is the common denominator of -43/8 and 2*n/8 + -33?
8
Let y be ((-1)/2)/((-2)/188). Suppose 3*c = 2*f - y, -3*f - 127 = -8*f - 2*c. Suppose -p - 4*p = -f. Calculate the lowest common multiple of 8 and p.
40
Let y be 18/15*5/2. Suppose y*j - 5*j + 36 = 0. Calculate the common denominator of (-595)/j*(-6)/28 and 113/12.
12
Let m = -7565/16 + 476. Calculate the common denominator of m and -125/12.
48
Find the common denominator of 71/8 and 65/3 + 6/(-6).
24
Suppose 5*j + i = -425, -i = -j + 1 - 80. Find the common denominator of 51/14 and 50/6*(-18)/j.
14
Suppose -4*k = 0, k + 114 = o - 3*k. Let y = 12 - o. Calculate the common denominator of -37/10 and -2 - (-1 - y/27).
90
Let x = 6 + -11. Let j be (x + 87)/(48/(-3170)). Let f = j - -5425. Calculate the common denominator of f and 1/18.
36
Suppose 0*w + 9 = -w. Suppose 0 = 4*r + 2*j + 3*j + 8, -4*j = 3*r + 7. Let v = r - w. What is the lowest common multiple of v and 16?
48
Let r(l) = -4*l - 2. Let q be (-7)/3 + 1/3. Calculate the least common multiple of r(q) and 6.
6
Let f = 2/36681 + 3851461/806982. Let p = -72124/148307 + -25775059337/2322487620. Let u = 4/3915 + p. Calculate the common denominator of f and u.
132
Suppose 6*q - 2*z = 7*q - 17, 2*q - 2*z = 64. Calculate the lowest common multiple of q and 9.
27
Let c(j) = -j**3 + 9*j**2 + 8*j + 13. Let l be c(9). What is the common denominator of -47/8 and (-4)/(-32)*l + 1?
8
Calculate the common denominator of (3/12)/(50/(-364)) and 77/8.
200
Suppose 0 = 3*o + 9. Let u(z) = -5*z - 4. Calculate the smallest common multiple of u(o) and 5.
55
What is the lowest common multiple of 23/5 - (-30)/(-50) and 9?
36
Suppose 5*i + 4*p = 19695, 4*i + 8*p = 3*p + 15765. Let c = 39231/10 - i. What is the common denominator of -8/9 and c?
90
Let p = -10 - -18. Calculate the common denominator of 255/126 + (-4)/6 and ((-1)/9)/(p/(-1380)).
42
Let f = 3371/2 - 6645/4. What is the common denominator of f and 138/(-64)*(0 + 4)?
8
Let i(a) = -a**3 + 8*a**2 - 7*a + 4. Calculate the smallest common multiple of 1 and i(7).
4
Calculate the lowest common multiple of (-13)/((-78)/24) + (-4)/(-2) and 2.
6
Let q = 1054/35 + -22927/630. Calculate the common denominator of q and 77/20.
180
Let g(h) = 5*h - 9. Let c be g(4). Let q = 0 + c. Calculate the smallest common multiple of q and 2.
22
Let f(o) = -12*o**2 - o. Let y be f(1). Let w = y - -25. Calculate the smallest common multiple of w and 4.
12
Let j = 11 + -35. Let n = -13 - j. What is the least common multiple of 6 and n?
66
Suppose -5*d = h - 920, 3*d + 3*h = h + 545. Calculate the common denominator of 2/9 + d/(-144) and 37/6.
48
Let b = 8 - -5. Suppose 0 = -5*c - 3 + b. Suppose 2*i = -3*q + 32, 36 = -5*i - 2*q + 138. What is the lowest common multiple of c and i?
22
Suppose 0 = -k - k + 4. What is the smallest common multiple of 1 and k/(-9) + 101/9?
11
Suppose 12 - 2 = 10*w. Calculate the smallest common multiple of 11 and w.
11
Suppose 3*v = -m - m + 10, m + 2*v = 6. Let x(t) = -t**3 + 6*t**2 + 7*t + 9. What is the least common multiple of 0 + (14 - 2) - m and x(7)?
90
Let u = -15 - -39. Suppose 2*f + f = u. What is the common denominator of -44/5 and -4*((-71)/f - 0)?
10
Let r(v) = -9*v**3 - 2*v - 1. Let f be r(-1). Let q = f + -16. Calculate the smallest common multiple of ((-20)/q)/1*3 and 1.
10
Let y(q) = -q**2 + 6*q + 3. Let c be y(3). Let x(j) = j**3 - 11*j**2 - 11*j + 10. What is the lowest common multiple of x(c) and 22?
22
Let p = -6/197 + 4579/1576. Calculate the common denominator of -24 and p.
8
Suppose -16 = -4*s + 3*w, s + 5*w = 3*w + 4. Calculate the lowest common multiple of (-50)/(-2) - (2 - -1) and s.
44
What is the common denominator of (-1 - (-9)/12) + (-141)/28 and 151/78?
546
Let q(d) = 31*d**3 + 2*d**2 - 1. Let t be q(1). Let c be 0/(-2) - 1 - -3. Suppose 2*l + c*l = t. Calculate the lowest common multiple of l and 1.
8
Let u = 2679 + -42945/16. Let d be (890/(-8))/((-45)/(-40)). Let m = -17863/180 - d. What is the common denominator of m and u?
80
Suppose 0 = 3*p - 28 + 1. What is the smallest common multiple of p and 5?
45
Find the common denominator of 3 - -5*(-33)/42 and ((-97)/(-5))/((-16)/(-10)).
56
Let a(n) = n**3 + 2*n**2 - 12*n - 10. Calculate the smallest common multiple of a(-4) and 92.
276
Suppose 2*p = 6, -20 = -5*s + 2*p - 6. Suppose s*l - 4*n - 2 + 1