2
Suppose 4*c - y = 13, -8 = -3*c - y - 0*y. What is the common denominator of 76/9 and 3*((-199)/(-90) + -3) + c?
90
Let k = -11 - -18. Suppose k = f + 5. Calculate the lowest common multiple of ((-3)/(12/56))/(-2) and f.
14
Suppose f = 2*k + 2, -3*f - 4*k = -6*f + 16. Calculate the smallest common multiple of 60 and f.
60
Let o be 1*4 - (-8 + 9). What is the least common multiple of 0 + (3 + 3)*o and 20?
180
Let b(j) = -3*j + 3. Let f(a) = a + 1. Let o(i) = -2*b(i) - 10*f(i). Calculate the lowest common multiple of 10 and o(-6).
40
Let a(c) = -c**3 - 4*c**2 + c - 18. Let d be a(-5). Calculate the common denominator of -91/10 and (2 - 28/10)/(1/d).
10
Let q(t) = 1 + 0 - 17*t + t**2 + 14*t + 1. What is the least common multiple of q(6) and (21 - (0 + -1)) + -2?
20
Let o(t) = 5*t**2 - 6*t - 12. Let j be o(-2). Let s(c) = c**2 - 18*c - 25. What is the least common multiple of 33 and s(j)?
165
What is the common denominator of 10/3 and (((-416)/(-20))/2)/(118/10)?
177
Let d = -33277 + 998477/30. Calculate the common denominator of -30/7 and d.
210
Let i = 316 + -302. Let x(p) = -p**3 - p + 22. What is the lowest common multiple of i and x(0)?
154
What is the common denominator of -35/36 and (6/(-824))/((-21)/(-798))?
3708
Let p(t) = t - 1. Let m be p(5). Suppose -2*j = -3 - 25. What is the least common multiple of j and 85/4 - (-3)/m?
154
Let c = 26 - 14. Let k = -342 + 362. What is the least common multiple of k and c?
60
Let f = -7 + 11. Let j(k) = 4 - 11 + 2 + 3 - 2*k. Calculate the lowest common multiple of j(-11) and f.
20
Let h be -6 + 10 + 2 + -2 + 10. Let m = 174653/180 - 8680/9. What is the common denominator of h/(-4)*(-2 + (-213)/(-147)) and m?
140
Suppose 2*t - 3 = -4*o + 7, 5*o + 33 = 4*t. Suppose 37*f - 5*d = 41*f + 7, 0 = 2*f + 4*d + 8. Calculate the lowest common multiple of t and f.
14
Let n be 1/(-3) + 1768/5250. Let a = 37637/3500 - n. Find the common denominator of 48357/20493 - (-4)/(-46) and a.
44
Let k = 20 - 10. Suppose 5*d + 3*j + 93 = -22, 0 = -5*j. Let y(l) = -l**3 - 22*l**2 + 22*l - 19. Calculate the lowest common multiple of k and y(d).
20
Let a be 42/(-28) + ((-573)/6 - 2). Calculate the common denominator of (-2)/15*470/24 and 1*a/(-6) + 3/(-12).
36
What is the common denominator of ((-1293)/1400 - -2) + 392/(-686) and -43/120?
600
Suppose -7*a - 3*a = -140. What is the smallest common multiple of 16 and a + -13 - (-10 - 1)?
48
Let a = 82 - 86. What is the least common multiple of 18 and a/14 - 3*1688/(-84)?
180
Suppose 4*w - 12 = 4. Suppose 0 = -9*f + 28 + 17. Suppose -7*t - 6 = -2*o - 5*t, f*t + 12 = 2*o. What is the least common multiple of o and w?
4
Let z(p) = p**3 - 3*p - 2. Let m(s) = -s - 6. Let x be m(-3). Calculate the least common multiple of 21 - (1 + 6/x) and z(3).
176
Find the common denominator of -13/2 and 12/48 - (-1389)/(-396) - -4.
66
Suppose -134 = -5*h + 466. What is the smallest common multiple of 96 and h?
480
Let r be (-2409)/(-6) - (-3)/(-2). Calculate the common denominator of (-5 + 545/100)/((-2)/(-55)) and 4/(-6) - r/12.
8
Suppose h = 5*x + 221, 4*h - 90 = 3*x + 828. What is the smallest common multiple of h/14 - 2/4 and 10?
80
Let s = -2 - -7. Let z be (-3 + 2)*(-1 + s). Find the common denominator of 131/18 and z/(40/147) + 3.
90
Calculate the common denominator of 3/((-504)/(-46)) + 6/(-14) and 11/408.
2856
Suppose 2*r - 3 = r. Suppose -2*t = 2*t + c - r, -5*t - 3*c - 5 = 0. What is the lowest common multiple of 7 and t?
14
Suppose 31700 = 6*a - a. Let t = a - 56998/9. What is the common denominator of 23/15 and t?
45
Let f(v) = 3*v**2 - 18*v + 5. Let y be f(6). Suppose -6*h + 3 = -y*h. Calculate the least common multiple of 33 and h.
33
Let v = 2/261 - -1390/261. Suppose 174 = 3*n + 39. Find the common denominator of v and (-3)/15 + 379/n.
9
Let j be (-45 - -47)*((-9)/(-2))/(-3). Calculate the smallest common multiple of j/(-4)*(80 - 20) and 8.
360
Let l(r) = -4*r**2 + 13*r - 16. Let w be l(5). Let k = -12 - w. Find the common denominator of 2/7 + (-564)/(-231) and k.
11
Suppose 0*y - y = -2. Find the common denominator of 113/6 and ((-6)/(-48))/(y/(-198)).
24
Let i = 803/19 - -332540/209. Let m = i - 1635. Let g = -516 - -2011/4. Calculate the common denominator of g and m.
44
Let a(i) = -2*i + 24. Calculate the smallest common multiple of a(8) and 44.
88
Suppose 81*b - 5*o = 80*b - 13, 0 = 2*o. Find the common denominator of 39/194 and b.
194
Let r(q) = 9*q - 43. Let f be r(14). Let b = f + -67. What is the lowest common multiple of 20 and b?
80
Let s = -14 + 23. Let l(k) = -4*k + 14 - 9*k + s*k. Calculate the least common multiple of 8 and l(-9).
200
Let d = -11/61 - -2435/14518. Let z = 2438/119 - d. Calculate the common denominator of z and (-6)/(-81) + (-9230)/(-2970).
22
What is the common denominator of (13/10)/((-9)/5) and (-340)/(-144) + (-40)/10?
36
Suppose -4*h = -4*r + 48, -5*h = -2*h + 9. Suppose 0 = -l - 4*o + r, 5*l - 4 = 2*o + 41. What is the least common multiple of 117 and l?
117
Let p(i) = -i**3 + 6*i**2 + 8*i + 3. Let q be (4 - 3)/(-1) - (-1 - 2). Suppose -4*a + 6 = -q. What is the smallest common multiple of p(7) and a?
10
Let b = 524/3 - 1031/6. Find the common denominator of b and (1 - 4) + 213/(-36).
12
Let k(p) = 8*p**3 + p**2 + p + 4. Let s be k(-2). Let f = s + 84. What is the smallest common multiple of f and (-1)/4 + (-196)/(-16)?
156
Calculate the smallest common multiple of 72 and (12/(-20))/((-19)/1520).
144
Suppose 4*c + 36 - 72 = 0. Let r(h) = 5*h**3 - h**2. Let u be r(1). Let f = u - -2. Calculate the least common multiple of c and f.
18
Suppose 3*v - 7*v + 20 = -3*j, v = 2*j + 15. Let i = 20 + j. Calculate the common denominator of (159/i)/((-22)/8) and 13/4.
44
Let q = -35 - -32. Calculate the lowest common multiple of 6 and ((-2)/4)/(q/132*1).
66
Calculate the least common multiple of 180 and 70/105 + (-82)/(-3).
1260
Let w(p) = -p**2 + 19*p + 27. Let o be w(20). Suppose o + 6 = 3*i + 2*l, 4*i - 2*l = 8. What is the lowest common multiple of i and 3?
3
Let d(i) = 4*i + 4. Let f = 434 - 432. Calculate the lowest common multiple of d(5) and f.
24
Let r be 2/(-8) + 806077/8. Let m = 99616 - r. Let a = 1145 + m. What is the common denominator of a and -45/17?
136
Let o = 6109 - 164996/27. Let s = -46367/12 - -3872. Calculate the common denominator of s and o.
108
Suppose -3*s - 42*u = -37*u - 7, 3*s = -3*u + 15. What is the least common multiple of s and 9?
9
Let l = 1361 + -5495/4. Find the common denominator of l and -23/12.
12
Let y be ((-1)/(-9))/(4/180681). Let p = -5022 + y. Find the common denominator of p and -114 - -101 - (-19)/4.
12
Suppose 900 = -109*k + 121*k. Calculate the least common multiple of 48 and k.
1200
Let m = 378/191 - -1040401/1146. Let x = m - 3667/4. What is the common denominator of x and (-7)/(-24)*104/6?
36
Let j(b) = -b + 11. Let t be j(9). Suppose -4*x = -12, 3*x - 18 = i - t*i. What is the smallest common multiple of i and (74/10 - 0) + (-66)/165?
63
Let t = 18875733/10 - 1889093. Let y = t + 1518. Calculate the common denominator of y and -3/7.
70
Let b = -79687 - -465133016/5837. Let i = 554713/385242 + b. Find the common denominator of i and 53/14.
462
Let g be (-237503)/(-292590) - (-4)/(-20). Let q = 2/3251 - g. Calculate the common denominator of 41/22 and q.
198
Let v(r) = -2*r**2 + 10*r - 3. Let j(h) = -h**3 - 12*h**2 - 13*h - 11. What is the lowest common multiple of v(4) and j(-11)?
55
Let j = -321/22 + -65/11. Let s be (-3)/6*(-2 - 0). Calculate the common denominator of j and s/4 - 61/28.
14
Let j = 296/387 + 34/43. What is the common denominator of j and -43/2?
18
Let p(a) = -3*a**2 + 8*a + 7. Let n be p(13). Find the common denominator of (-1 - (-128)/(-6))/4 and n/10*5/20.
60
Let m = -394/15 + 1193/30. Let w = -377/33 + 1427/88. Find the common denominator of m and w.
24
Calculate the common denominator of 97/40 and (-9)/(-15) + (-8 - (-9032)/880).
440
Let q be (-3)/(-5) + 80431/(-9360). Let a = q + -11/48. What is the common denominator of 23 - 1*(-1 - -1) and a?
9
Let c(j) = -7*j - 35. What is the smallest common multiple of 4 and c(-8)?
84
Let o = -17/47 - -1413/658. Suppose -2*p + x = 70 - 7, x - 153 = 5*p. Find the common denominator of o and ((-2)/(-11))/(8/p).
154
Suppose 17 = 5*x + 4*m, 0*x