Let h = 2 + y. What is the least common multiple of 14 and h?
126
Suppose 4*j = 92 - 12. Suppose 3*k - 4*z = -7*z, 5*z = -k - j. Suppose 2*o = 4*o - 2. What is the least common multiple of k and o?
5
Let p(b) = 9*b - 8. Let m be p(6). Suppose 0 = -7*c + m - 4. Suppose 66 - 16 = 5*n. Calculate the least common multiple of n and c.
30
Calculate the common denominator of 194/(-14)*315/(-1080) and -31/18.
72
Find the common denominator of 1 + -8 + 895/75 and (-242)/(-36) - 2/6.
90
What is the common denominator of 67/60 and ((-1)/(-7))/(60/2002) - 6?
60
Let k be (-6 - -5)*14*-5. Suppose 5*p - 5*d - k = 0, -2*d - 2*d = p - 34. Let u = -2 - -12. What is the lowest common multiple of p and u?
90
Let v be -6 + 220/35 - 214/700. Let y = -289/550 + v. Find the common denominator of y and -17/5.
55
Let l(r) = 5*r**2 + 6*r + 4. Let t(j) = -15*j**2 - 17*j - 13. Let g(d) = -8*l(d) - 3*t(d). What is the smallest common multiple of 12 and g(-2)?
84
Suppose 2*j = 4*k - 1146, 2*j + 858 = -k + 4*k. Suppose 2*s = -6*s + k. Calculate the least common multiple of 24 and s.
72
Let q = 569 + -503. What is the lowest common multiple of q and 176?
528
Suppose 3*j - 31 = 5*c - 29, -4*c - 12 = -5*j. Let m(n) = 2*n**2 + 10*n + 2. Calculate the smallest common multiple of m(-7) and j.
60
Suppose -13 = -2*n + 5*t + 32, -n + 3*t = -23. Suppose -x + 0 + 9 = 0. Let p = x + -3. What is the lowest common multiple of p and n?
60
Calculate the common denominator of -67/60 and 2583/(-210)*((-116)/56 - -2).
420
Let p = -19 + 35. Let h = p + 64. Suppose -h = -7*w + 2*w. What is the smallest common multiple of w and 16?
16
Suppose 0 = l + 12 - 8. Let q be 1/l + (-148)/(-600). Let o = q - -757/2100. What is the common denominator of -83/2 and o?
14
Let t be (-54)/(-4) + 4/8. Calculate the common denominator of t/35 - (-97)/(-10) and (-3)/(-12) - (-23)/(-4).
10
Suppose -2*h + 460 = 3*c - 0*c, 0 = -h + 4*c + 252. What is the lowest common multiple of h and 18?
2124
Find the common denominator of (-1850)/3465 + (-8)/(-36) and 25/8.
616
Find the common denominator of (635/(-15) - 7)/(-17 + -1) and -127/18.
54
Let r(q) = 2*q**2 + 13*q - 35. Calculate the least common multiple of r(-9) and 50.
50
Find the common denominator of (7 - (-1145)/(-150)) + -2 and -52/33.
330
Let j be 2 - (1399208/40138)/4. Let r be (-17232)/43005 + -1*10/(-25). Let d = r - j. Find the common denominator of d and -63/10.
70
Let q = 14 + -7. Let u(s) = s**3 + 6*s**2 + 3*s - 9. Calculate the smallest common multiple of u(-4) and q.
77
What is the common denominator of (596/(-6))/(-10 - (-10 + 4)) and 87/130?
390
Suppose 8 - 9 = -5*z - 4*w, -2*z = w - 1. What is the smallest common multiple of 2 + (-8)/2 - -6 and z?
4
Let d = -1/1876 - -2019/268268. Calculate the common denominator of 56/39 and d.
429
Let r(z) = -2*z - 10. Let p(l) = l**3 + 11*l**2 - l - 2. Let f be p(-11). Suppose -8*s + f = -9*s. What is the lowest common multiple of 10 and r(s)?
40
Let u = -89 - -169. Calculate the common denominator of 87/26 and (3510/u)/(42/(-8)).
182
Let c = 15 - -13. Suppose 0 - c = -4*m. Suppose -2*z - 33 = -m*r + 2*r, -r = -2*z - 29. What is the common denominator of z and 74/9?
9
Let z = 383966/27 + -14223. Find the common denominator of z and 103/12.
108
Let c(o) = -2*o**2 + 24*o - 14. Suppose 0 = -3*p + 3*f + 42, -3*f - 39 = -3*p - f. What is the smallest common multiple of 8 and c(p)?
8
Let c(m) be the second derivative of m**4/12 + 4*m**3/3 - 7*m**2 + 12*m. Calculate the lowest common multiple of 6 and c(-10).
6
Suppose -o = 3*r - 25, 3*o + o - 35 = r. Suppose 0 = 4*m + 4*p + 52, -2*p - 37 = 4*m - p. Let y = m + 15. What is the lowest common multiple of y and o?
70
Let n = -146/6355 - 4/155. What is the common denominator of n and -13/4?
164
Suppose -4*s + 43 = 3*k, 65 = 5*k + 6*s - s. Let a(q) = 11*q + 71. What is the least common multiple of a(-6) and k?
45
Suppose 393 = 5*w - 3*t, 3*t - 5*t - 80 = -w. Calculate the least common multiple of 208 and w.
624
Let b be 1/(-4) - 109478/24. Let g = b - -4579. Let p = -9149/3 + 3055. Calculate the common denominator of g and p.
6
Calculate the common denominator of -31/10 and (-2 - (38 + -1))/(316 + 21).
3370
What is the common denominator of -2 + (3 - 74/40) and 31/32?
160
Let x(p) = p + 18. Let k(s) = 2*s + 9. Let l be k(-12). Let b = l - -7. Calculate the least common multiple of 16 and x(b).
80
Suppose 0 = 2*k + 3*k + 4*j + 2, -4*j - 6 = 3*k. Let p = 8289 + -66307/8. What is the common denominator of 177/30*k/(-4) and p?
40
Let j = 1382 - 12457/9. Let b be 3/(120/70388)*-1. Let g = -1763 - b. Calculate the common denominator of g and j.
90
Let d = 7712197/108 + -71408. What is the common denominator of d and 169/180?
540
Let y = -181123 - -1436848757/7933. Let f = 1055113/95196 + y. Calculate the common denominator of f and -49/18.
36
Let g be (15/2 + 3/(-6))*-1. Let w(v) = -v**2 - 8*v - 3. What is the lowest common multiple of w(g) and 4?
4
Suppose -2*x + 3*x = 3. Let w be 1/(-3) - (-35)/15. Suppose -2*o + x = 4*p - 15, -w*o = p - 9. What is the smallest common multiple of o and 7?
21
Let u = 45 - 43. Suppose -4*z = 5*w + 7, 10 = -u*z - 4*w + 2. What is the lowest common multiple of z and 10?
10
Suppose 5*z - 7*z + 16 = -4*o, 5*o + 35 = -5*z. Let w(a) = -11*a - 14. Calculate the smallest common multiple of 144 and w(z).
144
Suppose -t + 5 = -0*t, -l + 10 = 3*t. Let s = 31 - 142. Find the common denominator of s/3*l/60 and 113/18.
36
Let h = -1051 - -4243/4. What is the common denominator of (0 + 2/(-4))/(-20 - (-426)/21) and h?
4
Find the common denominator of 128/119 + (-3 - -2) and 71/8.
952
Suppose 11*h + 2139 = 8*h. Let t = h + 1369/2. What is the common denominator of t and (-3)/6*176/14?
14
Let o = 15 + 1. Suppose 0 = -3*l + 3*w + 3, l - o = -4*w + 2*w. Let i = 2638 + -2632. Calculate the smallest common multiple of i and l.
6
Let g = 26 + -15. Let s(k) = 6 + 9*k**2 - 8*k**2 + 0*k**2 - 4*k. Calculate the least common multiple of g and s(4).
66
Calculate the common denominator of -20/33 and 16*9/36 - (-214)/(-48).
264
Let r = -3/34 + -691/68. Find the common denominator of 99/4 and r.
4
Let y = -832 - -837. Calculate the least common multiple of y and 79.
395
Let v = -6349/6 - -1052. What is the common denominator of -31/12 and v?
12
Let z = 6 + -2. Suppose -3*v + v = 2*t + 8, z*v = t - 16. Find the common denominator of (-10)/v + 6 + -4 and -4.
2
Let f = -21469/8 + 2671. Let d = 2/403 + -20573/4030. Find the common denominator of d and f.
40
Suppose 322 + 74 = -11*d. Let t = -11 + 1. Calculate the common denominator of t/(-15)*d/10 and -19/2.
10
Let j = -17/8 - -613/168. What is the common denominator of ((-10)/96)/((-1)/4) and j?
84
Let d be 69/7 + 1/7. Let z(q) = -q**3 + 9*q**2 + 9*q + 11. Let v(u) = -u**2 + 4*u + 2. Calculate the smallest common multiple of z(d) and v(4).
2
Suppose -4*q = s - 220, 0*q - 4*q - 5*s = -204. Calculate the least common multiple of 56 and q.
56
Calculate the common denominator of (-43)/(-2) + -4 + 6 and 6/(-8)*(-770)/30.
4
Suppose 4*r - 5*n = 9*r - 40, 4*r = -n + 20. Let j be (-27)/(-12) - (-1)/(-4). Let c = j - -5. What is the least common multiple of r and c?
28
Let u = 11 - 9. Let g be -2 + u*(-1 - -7). Calculate the least common multiple of 2 and (g/6)/(1/3).
10
Suppose -3*w + 22*z = 21*z - 54, 0 = -2*w - 2*z + 36. Calculate the lowest common multiple of 36 and w.
36
Suppose 0 = -2*o + 2*z - 1616, -14*o + 9*o + 3*z = 4034. What is the common denominator of (4/(-30))/(5/o*-7) and 76/3?
15
Suppose 0 = 5*m + 3*p + 471 + 288, -2*m = 5*p + 315. What is the lowest common multiple of 72 and (m/(-8) - 3) + (-5)/(-20)?
144
Let o = -24 + 14. Find the common denominator of (-2)/o + (-105)/(-28) and (-1 + 2)/(20/175).
20
Let t = 85955/116144 + -36/1037. Find the common denominator of t and 73/140.
560
Let o(y) = y**2 - 35*y + 115. What is the least common multiple of o(34) and 99?
891
Suppose -4*g - 9 + 38 = -d, -3*g - 2*d + 8 = 0. What is the common denominator of -10*g/(-8)*(-126)/(-300) and 95/4?
20
Suppose 36 + 332 = 5*d - 4*w, -4*d + w = -290. What is the common denominator of -53/12 and (-1)/(-2) + (-546)/d?
12
Suppose -2*f = 3*n - 15, 2*f = -0*f + 3*n + 9. What is the least common multiple of 11 and f?
66
Let i(l) = -1659*l - 15. Le