Suppose -1 - 1 = -b. Suppose -24 = -4*r + r. Suppose -r*u + 3 = -125. What is the lowest common multiple of b and u?
16
Suppose -n - 24 = -3*n. Suppose -3*d + 12 = k, 0 = -14*k + 9*k - 5*d + 80. Calculate the least common multiple of k and n.
36
Let u = 3985 + -23831/6. Find the common denominator of u and -89/4.
12
Let n(h) = 2*h - 5. Let f be n(2). What is the least common multiple of 16 and (7/(84/(-8)))/(f/12)?
16
Let f = -3/386 + -1021/5211. Let a = -2/9 - f. Calculate the common denominator of a and 53/2.
54
Suppose 6 = 5*o + 16. Let a be 1/3*(o - -527). What is the common denominator of a/77*8/10 and 15?
11
Let u be 1*32*(-8)/(-16). Suppose 3*k - b - 22 = 0, 0*k - 3*k = -4*b - u. What is the least common multiple of 2 and k?
8
Suppose f = -4*d - 52, -5*f - 207 = d - 4. Find the common denominator of -97/2 and ((-4)/f)/((-1)/(-22)).
10
Let j = -14103/20 - -703. Let p(g) = -g**2 - g + 6. Let c be p(-6). Calculate the common denominator of j and c/(-16) + 182/36.
180
Let w(k) = k**2 + 2*k - 5. What is the smallest common multiple of 5 + -2 + 5 + -5 and w(5)?
30
Let l = 119417 - 17912467/150. What is the common denominator of l and -103/120?
600
Suppose 5*y + 2*l - 16 = 0, -2 = 4*y + 5*l - 25. What is the lowest common multiple of 20 and 10/(5 + 0) + y?
20
Let m = 279549798833/27680475710 + -66/11581789. Let c = -48/239 - m. Calculate the common denominator of c and 57/8.
40
Suppose 24*p + 35 - 179 = 0. Calculate the least common multiple of p and 34.
102
Suppose 0 = k - 3*b - 10, -5*b = -2*k - 2*b + 14. Let c(q) = -2*q**2 - 18*q - 4. What is the lowest common multiple of k and c(-8)?
12
Let l(u) = -u**3 + 8*u**2 - 9*u - 6. What is the lowest common multiple of 186 and l(6)?
372
Let p(q) = q**3 - 24*q**2 + 44*q + 4. Let r be p(22). Suppose r*h - t - 4*t = 41, 0 = 5*h + t - 73. What is the smallest common multiple of h and 22?
154
Let x = 865/4 + -663/4. Let h = -58909/182556 + -1/1844. Let f = -67/18 + h. Calculate the common denominator of f and x.
22
Suppose -5*g + 23 = 3*l, 3*g = 8 - 5. Calculate the least common multiple of 12 and l.
12
Let o = -59 + 63. What is the least common multiple of 3 and (4 - 1) + o/(4/21)?
24
Let v(n) = 2*n**3 + 6*n**2 + 3*n. Let f be v(-4). Calculate the common denominator of 303/(-9)*6/(-44) and (-34)/f + (5/(-5))/(-1).
22
Calculate the lowest common multiple of 8 and (-117)/234*-6*(1 + 15).
48
Let d(y) = -3*y**3 + 7*y**2 - 12*y - 14. Let b(s) = s**3 + 1. Let o(z) = 4*b(z) + d(z). What is the smallest common multiple of 1 + 16 + (3 - 4) and o(-8)?
176
Let x = 108 + -113. Suppose 4*o - 16 = 20. Find the common denominator of -46/3 and x/(-15) + o*-2.
3
Let v be 32122/8 - (-5)/(-20). Let x = v + -24191/6. Let h = -5081/7 + 724. Calculate the common denominator of h and x.
42
Let h(k) = -k**2 - 11*k - 6. Let f(d) = d**3 + 7*d**2 - 9*d - 8. Let c be f(-8). What is the lowest common multiple of (c - -2) + 4 + 2 and h(-5)?
24
Let d = -4469/354 + -32/59. Calculate the common denominator of 1/4 + (-2629)/132 and d.
6
Calculate the lowest common multiple of 105 and -42*(7 - (-135)/(-18)).
105
Let z = 71915/6 - 13714. Let r be -8*(2583/4)/(-3). Let w = z + r. What is the common denominator of 101/16 and w?
48
Let s = -385 - -417. Suppose -3*r + 80 = j - 15, 0 = -3*j - 3. What is the least common multiple of s and r?
32
Let b = 1673141/84 + -39839/2. Find the common denominator of b and 41/72.
504
Suppose u - 12 = 8. Let k = 6 + -4. Suppose -k*n = -0*n - 28. What is the least common multiple of u and n?
140
Let v be (50/(-30))/((-2)/6). Suppose v*j - j = 0. What is the least common multiple of 10 and (-1 - -1) + j - -1?
10
Suppose -58 + 82 = 2*n. Calculate the least common multiple of 12 and n.
12
Let d = 2631875/122 - 21573. Calculate the common denominator of 71/14 and d.
854
Let l = 38 - 54. Suppose z - 15 = -14*z. Calculate the lowest common multiple of (-16 + z)/(24/l) and 32.
160
Let z(s) = 5*s - 27. Suppose 2*g - 18 = -r, -5*g - 4*r = -50 - 1. Suppose 3*k = 6 + 6. What is the lowest common multiple of z(g) and k?
8
Suppose 20*q = 19*q + 4. Suppose -q*c - 10 = -118. What is the smallest common multiple of c and 9?
27
Let l = -8/387 - -37699/7740. Suppose 4*j + 5*v - 49 - 286 = 0, -3*j + 234 = -2*v. Calculate the common denominator of 132/j + (-9)/6 and l.
20
Let r(a) = -a**3 - a**2 + 1. Let b be r(-2). Let w = 23 - b. Calculate the smallest common multiple of 76/16 - 6/8 and w.
36
Let s(q) = -49*q**3 + 8*q**2 - 3*q + 2. Let v be s(-4). Let g = v - 26261/8. What is the common denominator of g and -10/11?
88
Let i(p) = 146*p**3 + 2*p - 4. Let n be i(-6). Let v = n - -1325105/42. What is the common denominator of -65/22 and v?
462
What is the common denominator of -65/561 and 52/16 + 72/108?
2244
Calculate the common denominator of 11/30 and 35/875*(-1330)/(-24).
60
Let m(o) = -1. Let c(q) = q + 9. Let f(l) = c(l) + 4*m(l). Let s be f(-6). Let x = s - -6. What is the least common multiple of x and 11?
55
Let p = -1779/26 - -220507/3198. Calculate the common denominator of -37/6 and p.
246
Suppose 5*r = 4*h + 5 - 13, 4*r = 2*h - 10. Let f = -3612 + 25243/7. What is the common denominator of (332/6)/(h + -1) and f?
42
Let u = 7039 - 42349/6. Let b be (-4)/14 + (-15884)/(-4340). Let i = b - -38/31. Calculate the common denominator of u and i.
30
Let q(d) = -2*d**3 + 32*d**2 + d + 23. Calculate the lowest common multiple of 39 and q(16).
39
Let i = 40 - 19. Let j = i - 20. What is the least common multiple of (4 - 1) + (-3 - -3) and j?
3
Let k = 952 - 7605/8. What is the common denominator of k and -19/326?
1304
Suppose 4*v - 16 = -112. Find the common denominator of (-6)/(-42) - (-59)/(-119) and (-4)/v*438/9.
153
Find the common denominator of -145/96 and 469/14*2/(-44).
1056
Let u = 5/59 - -943/708. Calculate the common denominator of ((-333)/148)/(-3 + 162/62) and u.
48
Suppose 23 = -4*n - 1. Let o = n - -16. What is the smallest common multiple of 10 and o?
10
Suppose 3*a = -2*a + 90. Suppose 0 = -o + 3, -a = -3*z - o - 3. Suppose 3*r - z*r = -7. What is the smallest common multiple of r and 11?
77
Let y = -7574 + 1083102/143. What is the common denominator of 5/3 and y?
429
Let b = 859/315 - 22/45. What is the common denominator of b and (-99)/(-55) + 1 + 2/(-2)?
105
Let f be 4*((-4)/(-10) - (-306)/(-1015)). Let v = f - -16615/1624. What is the common denominator of v and 21/8?
8
Let w = -3/59464 - 30356339/654104. Let k be 6/4*102/11. Let f = k + w. What is the common denominator of 61/4 and f?
4
Let y = -31249/3 - -10652. Let w = -243 + y. Let q = -2815/296 - -3/296. Calculate the common denominator of w and q.
6
Let y(x) = -2*x**2 + 7*x + 28. Let d be y(8). Find the common denominator of 73/6 and (-35)/d*(7 + -1).
66
Suppose 0*t - 15 = 5*t. Let l = t + 7. What is the lowest common multiple of ((-3)/6)/(l/(-64)) and 3?
24
Let j be (16 - -4) + (0 - 1). Suppose -25 = 5*a + 5*h, -3*a + 3*h - j = -4. Calculate the common denominator of (2/40)/(19/874) and a.
10
Suppose 64 = -g + 5*v - 68, 506 = -4*g - 2*v. Let d = g + 135. Calculate the lowest common multiple of 6 and d.
24
Let d(g) = 3*g - 4. Let h(w) = -7*w + 8. Let m(l) = -5*d(l) - 3*h(l). Let f = -20 - -38. Calculate the least common multiple of f and m(4).
180
Suppose 2*r + 1 = u - 4*u, -2*r - u = 11. Let w be 3/12 - 46/r. Suppose w*l = 32 + 16. What is the smallest common multiple of l and 18?
72
Let c(g) = -339*g**3 - 6*g**2 - 3*g + 1. Let w be c(-3). Let h = 91207/10 - w. Calculate the common denominator of h and 5/16.
80
Let a = 61014923/293898 - 37886/183. Let w = a - 3/292. Find the common denominator of 41/16 and w.
176
Suppose 0 = 5*i + 20, 3*g = -6*i + 8*i + 41. Let t(z) = -z - 6. What is the least common multiple of t(-9) and g?
33
Let h = -731732/163 - -4489. What is the common denominator of 9/8 and h?
1304
Suppose 36*a = 30*a + 108. What is the lowest common multiple of 24 and a?
72
Let w be 40721/(-10)*1/1. Let x = w - -4078. Find the common denominator of 11387/(-236) + (-2)/8 and x.
10
Let z(a) = a**3 + 7*a**2 - 3*a + 9. Let s be z(-6). Find the common denominator of 71/33 and (-7)/s*266/4.
198
Let g(y) be the first derivative of y**4/4 - 4*y**3 + 5*y**2 + 16*y + 3. Let n be g(11). Suppose -n*i - 5 = -6*i. What is the lowest common multiple 