-77/6 and h?
318
Suppose 11*r + 1575 = 4*i + 6*r, -2*r + 810 = 2*i. What is the least common multiple of 80 and i?
400
Let m be ((-4)/(-70))/(32/9140). Let h = m - -3/7. What is the common denominator of h and 2*11/28 + 0?
28
Let v be (1 - (-4)/1)*1. Suppose -3*n = -v*n. Suppose n = -5*h + 7*h - 6. What is the lowest common multiple of h and 2?
6
Let l(u) = 5*u**3 - u**2 + 4*u + 5. Let n be l(-2). Let t = -20 - n. What is the lowest common multiple of 45 and t?
135
Suppose -3*w + 52 - 10 = 0. What is the common denominator of 47/8 and w/21*(89/(-11) - -1)?
88
Let g = 291509/396858 - 2/2577. What is the common denominator of g and -77/10?
770
Suppose 5*p = 4*d + 274 - 101, 0 = 3*p - 15. Let w = -26 - d. What is the lowest common multiple of w and ((-6)/9)/(18/(-81))?
33
Let s(y) = y**2 + 5*y + 6. Let t be ((-10)/4)/5*10. What is the smallest common multiple of s(t) and 12/((-48)/10)*2/(-5)?
6
Let u = 62377/12 + -5195. Calculate the common denominator of u and 59/12.
12
Suppose -2*i = -4*s + 142, 5*s - 2*i + 110 = 8*s. Calculate the smallest common multiple of 408 and s.
1224
Suppose -47*l - 256 = -55*l. Suppose 0 + 4 = r. Calculate the least common multiple of r and l.
32
Let o be (-2)/11 + (-79)/(-11). Suppose -3*n + 8 + o = 0. Suppose c = q - 1, c + 2*c = q - 1. What is the least common multiple of n and q?
5
Suppose 219 = -4*z + 6*z + 5*m, z + m = 114. What is the smallest common multiple of 3 and z?
117
Let u = -24 - -65. Let h = 16/705 + -79889/9870. What is the common denominator of h and (u/(-5))/((-12)/5)?
84
Suppose 0*a = -9*a + 756. Let w = a + -62. What is the smallest common multiple of 2 and w?
22
Let x(k) = -k**2 - 26*k - 6. Let l be x(-23). Calculate the common denominator of 64/3 and (-1)/(-4 + l/15).
3
Suppose 5*v = -5*d + 2*d - 72, 2*v = 5*d - 4. Let z = -16 - v. Let n = z - -20. What is the least common multiple of 20 and n?
80
Let z(k) be the second derivative of k**3/6 + 2*k**2 + 12*k. Suppose -u - 2*u = -4*c + 86, -2*u = 4*c - 76. Calculate the least common multiple of c and z(8).
60
Let g be (-13)/(325/30)*(-40)/6. What is the common denominator of 43/7 and (372/24)/((90/g)/1)?
315
Let z(d) = 4*d**2 - 7*d - 4. Let n be z(-4). Let r = n - 79. Calculate the lowest common multiple of 9 and r.
9
Let s be (-6 + (-42)/(-6))*(28 - 0). Suppose -b + 8*b - s = 0. Calculate the smallest common multiple of b and 8.
8
Suppose 2*r + 55 = 3*y + 3*r, -2*y - 3*r = -39. Let g = 25 - y. Calculate the smallest common multiple of g and 3.
21
Calculate the common denominator of (-1035)/140*(-2)/3 and -119/10.
70
Let h = -2/56635 - -3794589/1245970. Calculate the common denominator of 45/242 and h.
242
Let g(x) = -13*x - 5. Let h(m) = -5*m + 11. Let i be h(4). Let z be g(i). Calculate the common denominator of ((-3)/z)/((-3)/(-156)) and 119/10.
140
Let a = -1 - -7. Let c = 16 - a. Calculate the least common multiple of c and (10/(-60))/((-2)/12).
10
Suppose 86*h - 84*h = 2890. Let y = h - 2985/2. What is the common denominator of y and -67/8?
8
Suppose 16*p = 41*p - 50. What is the lowest common multiple of 13 and p?
26
Let z(c) = 4*c**2 + 9*c - 4*c**2 + c**2 + 16. Calculate the lowest common multiple of 9 and z(-8).
72
Let g(a) = a**2 - 14*a - 21. What is the least common multiple of g(-6) and 88?
792
Calculate the common denominator of (-7147)/(-1764) + (6 - (-41)/(-7)) and ((-10)/24)/(4/6).
72
Suppose 4*c - c + 5*p = 7392, -4*p = -5*c + 12357. Let f = 4841/2 - c. What is the common denominator of f and 2 + -3*11/(-30)?
10
Suppose -56826 = 10*a + 28994. Let w = -514943/60 - a. Find the common denominator of w and -127/30.
60
Suppose -12*o - 19 + 619 = 0. Calculate the lowest common multiple of o and 65.
650
Find the common denominator of -7*-3*(-55)/30 and -49/16.
16
Suppose -3 = -21*j + 24*j. What is the lowest common multiple of 5 and 6 + -6 + 6 + j?
5
Let f = -17 - -24. Let n be (1 - 1)/(-4) + 28. Suppose -2*x = -5*x - 4*q + n, 8 = -x + 3*q. What is the smallest common multiple of f and x?
28
What is the common denominator of (1/2)/((-7)/(-116)) and 2/(-1) + (-2265)/(-450)?
210
Suppose -2*s = 3*h + 7, 3*h = -s - 2*h - 21. What is the smallest common multiple of (-2)/8 + 29/s and 4?
28
Let r = 493/99 + 19/33. What is the common denominator of r and 19/42 + (-10)/315*9?
18
What is the common denominator of -45/14 and (-2)/(-12)*855/1095?
1022
Find the common denominator of -3/49 and 1128/(-945) - (-4)/18.
245
Let z(j) = j**3 + 18*j**2 - 19*j + 4. Let h be z(-19). Let b = -307/6 + 51. Find the common denominator of b and 154/48 + h/24.
24
Let a = 47131/24 + -1965. Calculate the common denominator of a and 31/240.
240
Let u be (5 + (1 - 3))/((-3)/(-2)). Suppose 3*y + y = -m + 22, 0 = 2*y + 5*m - u. Calculate the smallest common multiple of 7 and y.
42
Let i = 1566 + -1559. What is the smallest common multiple of 1060 and i?
7420
What is the common denominator of -12/11 and -6 + (612/(-210) - -10)?
385
Let g = -1466 - -1481. What is the smallest common multiple of g and 114?
570
Let l be 78/5 - (-6)/15. Let b be -1 + (-4)/l*-4. Calculate the common denominator of 144/(-66) + (b - 0) and -43.
11
Let l = 55/437 - 55963/31464. What is the common denominator of l and 19/204?
1224
Let g = 1 - 3. Let m be ((-32)/(-12))/(g/309). Find the common denominator of 1/11 and -3 - 2/((-48)/m).
66
Let n(d) = d**2 - 8*d + 3. Let o be n(5). Let q be 4/16 + 51/o. What is the smallest common multiple of (-1 + -3)/q + 21 and 26?
286
Suppose -5*z = -j, -j - 3*j = -2*z. Suppose j = -2*d - 2. What is the least common multiple of 7 and ((-3)/d - 4)*-11?
77
Let p = 32 + -22. Let f = -9 + p. Let c(l) = -l**3 - 5*l**2 + 5. Calculate the smallest common multiple of c(-5) and f.
5
Let a(q) = -3*q + 15. Let b be a(7). Let j = 16 + b. Calculate the least common multiple of 10 and j.
10
Suppose -m - m + 2 = 0. Let l = 135/8 - 817/24. Find the common denominator of l and 15 + 1/(-2)*m.
6
Suppose 3 = -5*b - 3*a + 6, -b + 3*a + 15 = 0. Let r(o) = o**3 - o**2 - 8*o - 3. Let k be r(3). Calculate the common denominator of 16 and b + ((-42)/k)/(-2).
3
Suppose 37 = 5*o - 73. Let h = o - 16. Calculate the lowest common multiple of 7 and h.
42
Suppose -3*u + 15 = -6*u, -3*u - 27 = -3*p. Suppose 0*i - 4*n = p*i + 144, -5*n = -5*i - 150. What is the common denominator of ((-7)/2)/(i/(-39)) and -51/4?
44
Let z = -2/1683 - -26369/1683. Find the common denominator of z and -5/261.
261
Suppose -8*u - 42 = -5*u. Let g = u + 38. What is the least common multiple of 3 and g?
24
Let y = -4 - -18. Suppose -4*i = -12, -2*p - 6 = 5*i + 57. Let s = p + 57. Calculate the least common multiple of s and y.
126
Suppose -2 = -5*v + 4*j, -5*j = 3*v + 1 + 20. What is the common denominator of (-4424)/1078 - v/(-11) and 117/10?
70
Let i = -1/41970 - -114019/20985. Calculate the common denominator of i and -121/40.
120
Let q = -42/1013 + 57059/32416. What is the common denominator of q and (-4)/(-24)*(-452)/24?
288
Let o(n) = -2*n + 1. Let d be o(-7). Suppose 0 = -3*b - 15, -3*t - 2*t = 5*b + d. Calculate the smallest common multiple of t and (-6 + -6 + 6)/(6/(-4)).
4
Let w = -14 - -14. Let x(y) = -y + 6*y + 10 + y**2 + w*y**2 - 12. Calculate the least common multiple of 22 and x(-6).
44
Suppose 4*d = 5*v - 14, 0 = -4*d - 6*v + 4*v. What is the common denominator of ((-292)/(-36))/((6/(-9))/d) and 46/11?
66
Suppose 8*m - 264 = 4*m. Let q = 59 - m. What is the common denominator of 14/37 and q?
37
Suppose 3*n - 2*x - 68 = 0, -4*n + 2*n + x = -45. Let c(m) = m**3 + 5*m**2 - m - 4. What is the smallest common multiple of n and c(-4)?
176
Let w(q) = -15*q - 10. Calculate the smallest common multiple of 65 and w(-2).
260
Let s = -344 - -355. Calculate the lowest common multiple of s and 38.
418
Suppose 3*z - 5*z + 4 = 0. Suppose -5*q + 3*u + 13 = 0, -u = 5*q + z*u - 7. What is the least common multiple of 2 and q?
2
Let h(g) = -3*g**2 - 4 + 4*g**2 + 10*g + 3 + 26*g**2. Let t be h(-7). Let p = t - 19953/16. What is the common denominator of p and 19/16?
16
Let p = 388 + -4517/12. Suppose -4*k + 3*z = 1198, k + 2*k + 3*z = -888. What is the common denominator of 1 + 2 + k/24 and p?
12
Suppose 0*n - n - 20 = 0. Let k = -20/237 - -3991/1422. Find the common denominator of k and 5/2*1/n.
72
Suppose 0 = -2*t - d + 