0 = -5*h - 20. Calculate the smallest common multiple of r and 80.
720
Suppose 0 = 2*k - 8 - 28. Let y be (1/1)/((-2)/4). Calculate the common denominator of 17/22 and (y/30)/(k/1545).
198
Suppose 3*h = 2 - 8. Let w(y) = 11*y. Let l be w(h). Calculate the common denominator of 35/6 and 134/312 - l/143.
12
Suppose 0 = -6*q + 3 + 15. Suppose -49 = -q*s - 16. What is the lowest common multiple of s and 13?
143
Calculate the common denominator of -125/6 and 1/(-2)*(-270)/(-1404).
156
Let g = 64 + -29. Suppose 2*d = 5*u - 27, 5*u + 5*d - 20 = g. Calculate the lowest common multiple of u and 60.
420
Suppose 5*j = -r + 30, 0 = 3*j - 2*r - 2*r - 18. Suppose 3*q + 70 = 4*g, g + 3*q - 20 = 5*q. What is the smallest common multiple of j and g?
48
Suppose 4*p + 111 = 127. Calculate the smallest common multiple of 18 and 20 + -5 + p + 3.
198
Suppose 4*p + 2*p = 120. Calculate the smallest common multiple of 38 and p.
380
What is the common denominator of 2 + (1 - ((-245)/220 - -2)) and 19/32?
352
Let r be -1*1/6 - 3472/(-96). Find the common denominator of 131/18 and ((-267)/r)/((-5 + 2)/(-3)).
36
Suppose -v = 5*r + 23, -r + 2*r + 13 = -3*v. What is the common denominator of 6/9 + (-537)/36 and (v + 2)/(9/46)?
36
Let k = 34 + -31. Suppose -5*j + 55 = -k*f - 2*f, 0 = j + f - 7. Suppose -42 = -3*r - r + 2*g, -r - g = -6. Calculate the smallest common multiple of r and j.
9
Suppose 0 = 10*d - 4*d - 24. Calculate the common denominator of -2 + (-146)/(-36) + -2 and -2 + d*218/176.
198
Let z(l) = 3*l + 82. Let r be z(-8). Suppose -5*w - 151 = s, -2*s = -5*s - 3. Calculate the common denominator of 137/6 and r/w - 4/(-30).
30
Let j be (2 - (0 + 1)) + 1. Let n = 137 + -133. What is the least common multiple of 8 and j/n + 624/32?
40
Let g = -39 + 37. Find the common denominator of 5/22 and (-6973)/2014 - (g + 1*-2).
1166
Suppose -5*c = -14 - 106. What is the least common multiple of 34 and c?
408
Find the common denominator of -79/48 and ((-3818)/1104)/((-52)/6).
624
Let a(l) = l**2 - 3*l + 5. Suppose h - 14 = -2*r, -5*h + r = -h - 11. What is the lowest common multiple of a(h) and -3 + (9 - -2)/1?
72
Suppose 78*h = 1989 + 12207. What is the smallest common multiple of h and 14?
182
Let z = 5578499750/197 + -3246251792911201/114638634. Let s = -1/5878 - z. Find the common denominator of -48/5 and s.
495
Let r be (-12303)/24630 - 2/(-4). Let q = r + 184711/28735. What is the common denominator of 12*(-3)/(-44)*-2 and q?
77
Let z(m) = 3*m + 3. Let g be z(6). Let f = -58 - -62. Suppose -f*b = 2*i - 36, -5*b + 36 = 4*i - g. What is the smallest common multiple of i and 11?
88
Let n(k) = 2*k - 5. Let a(u) = -u + 2. Let i(p) = 9*a(p) + 4*n(p). What is the lowest common multiple of i(-3) and 10?
10
Let l be (2521*-3)/(37/(-2) + 2). Let f = l - 402711/880. Calculate the common denominator of 79/6 and f.
240
Suppose -3*r - 9 = -0*r, 0 = 4*d - 2*r - 298. Find the common denominator of d/(-3)*1/4 and (-3 - (-111)/36)*82.
12
Let m(j) be the third derivative of j**5/30 + j**4/24 + j**3/3 + j**2 - 10*j. Let x = 1 - 1. Calculate the lowest common multiple of m(x) and 8.
8
Suppose -23*r + 22*r = -21. Calculate the lowest common multiple of 3/r + 216/7 and 5.
155
Let p(a) = -a + 2. Let y be p(-5). Let r be ((-7)/y)/(1/(-13)). Let g = r + -3. Calculate the lowest common multiple of 14 and g.
70
Calculate the common denominator of 291/(-150) - -2 - (-12 + 13) and -9/10.
50
Let d(g) = -3*g + 663. Calculate the smallest common multiple of 32 and d(-15).
5664
Let f be (2/5)/(-82*4). Let p = 6967/1011060 - f. Let o = p - 75313/12330. Find the common denominator of o and 61/8.
40
Let f = -247 - -252. Suppose -f*g - 10 = -y - 70, -y = g - 6. Let i = 7 + -4. What is the smallest common multiple of g and i?
33
Let h be (-1)/1 + 480/498. Let v = h + -1900/249. Calculate the common denominator of ((-190)/(-57))/((-8)/(-27)) and v.
12
Let h be (2/6)/((-5)/45). Let y(m) = -m**3 - 2*m**2 + 3*m + 4. What is the least common multiple of y(h) and 4 - (3/(-3) - -3)?
4
Let j be (2055/(-110))/((-9)/(-12)). Let v = 203/66 + j. What is the common denominator of v and ((-3)/4)/((-2)/12)?
6
Suppose -2*j + j = 12. Let d be j + 9 + 1 + 35. Calculate the smallest common multiple of (-6)/(-33) - (-522)/d and 8.
16
Let y(d) = -6*d + 23. Let j be y(7). Let p(w) = w**3 + 11*w**2 + 7*w - 7. Let o be p(-10). Let x = o + j. What is the lowest common multiple of 3 and x?
12
Let h be (3 + -2)/1 - (-1088191)/(-2461575). Let o = 3/71350 + h. Calculate the common denominator of o and -85/6.
138
What is the common denominator of (-89)/5*130/(-208) and -48/13?
104
Let o(v) = -v**2 - 8*v - 3. Let t(l) = 48*l + 294. Calculate the lowest common multiple of o(-6) and t(-6).
18
Suppose 18 = 2*s - 2. Let n(u) = 9*u**2 - u. What is the smallest common multiple of n(-1) and s?
10
What is the common denominator of 4/3 + 3472/(-480) - -2 and -1 + (-54)/(-55) + 8/(-20)?
110
Let s = 947938/8855 - 2466/23. Calculate the common denominator of s and 92/525.
5775
Let h = -12421/12 + 1036. Find the common denominator of 26/7 and h.
84
Calculate the common denominator of 8/45*-11*42/(-56) and 68/21.
105
What is the common denominator of 73/63 and (48/(-240))/(162/1095)?
378
Let x = -8 - -10. Suppose 6 - 4 = z, x*z = -2*t + 24. Calculate the least common multiple of t and 2.
10
Let s(a) = 7*a**2 - 44*a + 34. What is the lowest common multiple of s(7) and 161?
483
Let q(l) = -2*l + 5. Let i be q(0). Let w be 2/(-7) + 1128/28. Find the common denominator of 419/w - (-2)/i and -53/7.
56
Let w(y) = -y**2 - 4*y + 7. Let v be w(-5). Let x = 5/996 - -45293/4980. Calculate the common denominator of (29/v)/((-15)/9) and x.
10
Let a = 905 - 897. What is the lowest common multiple of 407 and a?
3256
Calculate the least common multiple of 16/(-5 - -9) + 44 and 3.
48
Let b be 98 + (3/18 - (-38)/(-12)). Let a = b + -85. What is the lowest common multiple of a and 8?
40
Let o be (6 + -6 - (1 - 1))/1. Suppose o = 32*y - 30*y - 10. What is the smallest common multiple of 5 and y?
5
Let h = -10 + 25. What is the lowest common multiple of (-240)/(-1560) - 232/(-13) and h?
90
Let c = 10426 + -125219/12. Calculate the common denominator of 101/195 and c.
780
Suppose 5*m + 3*h = 2*m + 45, 0 = -2*m - 5*h + 30. Suppose -3*b = 3*t - 51, 3*t - m = 8*t. What is the least common multiple of 9 and (-1)/(-3 + b/7)?
63
Suppose -28*m - 25 = -23*m, -5*o + 2*m + 40 = 0. Calculate the smallest common multiple of 56 and o.
168
Suppose 4*j - 6 = 2. Calculate the common denominator of -25/8 and (-1 + (-1)/j)*(-142)/6.
8
Let k = -12 - -9. Let h be (0 + k)/((-24)/(-32)). Calculate the common denominator of 49/18 and 1/h*(6 + 1).
36
Suppose 24 = p - 4*c, 0*p + 17 = -2*p - 5*c. What is the smallest common multiple of p and 38?
76
Calculate the least common multiple of 2 and 7/(-2) + (-663)/(-78).
10
Let z be 8/(-6) + 2590/13937. Let n = -1/4344 + z. Calculate the common denominator of n and -31/5.
440
Calculate the common denominator of -5/3 and 73/12*(-9)/((-1836)/16).
153
What is the common denominator of ((-4)/14)/(488/(-5551)) and 113/100?
100
Let w = 1/2889 + -199349/23112. Let t = 6/623 + 32995/2492. Find the common denominator of w and t.
8
Let i = 667/240 + 7/80. Let k = 30098/6587 + 2/941. Calculate the common denominator of k and i.
105
Suppose 18*q - 1589 = 49. What is the smallest common multiple of 28 and q?
364
Suppose w + g = 1, g = -4*w + 4*g + 39. Calculate the lowest common multiple of w and 175.
1050
Let m = 1916 + -2765. Let a = 6777/8 + m. Find the common denominator of a and 1 + -1 + (-38)/10.
40
Let d(j) = j**3 + 17*j**2 + 17*j + 12. Let q be d(-16). Find the common denominator of 47/14 and (657/(-324))/(2/q).
126
Suppose 3*s + 105 + 126 = d, 4*d - 300 = 4*s. Let o = -44 - s. Suppose l = 3*b + 11, -10 - o = -4*l - 2*b. Calculate the smallest common multiple of 1 and l.
11
Let i(f) = 30*f + 50. Calculate the lowest common multiple of 20 and i(11).
380
Let d be 414865/60 + (-5 - (-9)/3). Let t = -6906 + d. What is the common denominator of t and -11/12?
12
Let h = 912 - 827. Calculate the least common multiple of h and 153.
765
Suppose 0 = -0*m + 12*m - 192. Calculate the smallest common multiple of 20 and m.
80
Suppose 0 = 4*l + 20, -4*l - 4 = 4*t - 12. 