35/2117 - -6502272. Let r = c + -30/73. What is the common denominator of 97/10 and r?
290
What is the common denominator of (786/720)/(12/(-10)) and -73/15?
720
Let k = 11 + 7. Calculate the least common multiple of k and 18.
18
Let h = 5090 - 580277/114. Calculate the common denominator of 47/5 and h.
570
Let q = 2217581/119 - 18635. Let u = q + 5/17. Find the common denominator of -56/11 and u.
77
Let d(k) = 3*k + 2. Let w be d(4). Let f = 13 - w. Calculate the common denominator of (-999)/(-36)*f/(-12) and 93/16.
16
Let l(m) = -31*m**2 + 1 + 32*m**2 + 4*m - 3*m - 3*m + 35*m**3. Let n be l(1). Suppose -4*k + n = 11. What is the least common multiple of 38 and k?
114
Suppose 68*h - 89*h + 1008 = 0. What is the lowest common multiple of 96 and h?
96
Let m = 165 + -86. Let o = 351/5 - m. What is the common denominator of o and (-1 - 228/32) + -1?
40
Let g(b) = b**2 + 4*b + 3. Let i be (-9 + 13)/(0 - -2). Suppose k = -i*k + 2*t + 62, -2*k + 3*t = -43. What is the least common multiple of g(-5) and k?
40
Let x = 210 - 170. What is the smallest common multiple of x and 48?
240
Let j = -13985/10591 - -109/119. What is the common denominator of -103/6 and j?
534
Let c = 10 - 7. Suppose -2*g + 20 + 29 = c*q, -2*g = 5*q - 55. Suppose -10 = s - 20. What is the lowest common multiple of s and g?
20
Let q(n) = -n**2 + 11*n - 8. Suppose 8*j - 346 = 102. Calculate the least common multiple of q(7) and j.
280
Suppose 6*b = -3*b - 1332. Let s = -297 + 3262/11. What is the common denominator of 2 + -2*b/(-80) and s?
110
Let l(s) = -7*s**3 + s**2 + 6 - 5 - 3*s**2. Let r(f) = -f**3 - 22*f**2 - 18*f + 71. Calculate the least common multiple of r(-21) and l(-1).
24
Let i = 26 + -16. Suppose h - 3*j = i, h - 2 = j + 4. What is the smallest common multiple of 8 and h?
8
What is the smallest common multiple of 14 and (-5)/(15/12) - -266?
1834
Let f = 1509697/1308 - 7098/109. Suppose -3*p + y - 3269 = 0, 0*y = 4*p + 5*y + 4365. Let h = p + f. What is the common denominator of h and -65/12?
12
Let w = -3/548 + -15603/2740. Let i(q) = q**3 - 13*q**2 - 8*q - 6. Let v be i(12). Find the common denominator of 0/(-2) - v/20 and w.
10
Let v be ((-18)/(-7))/((-15)/(-140)). Let c = v + -2. Suppose -3*w + 5*a + 8 - 1 = 0, -w + 9 = 5*a. Calculate the smallest common multiple of w and c.
44
What is the smallest common multiple of 64 and ((-13)/4)/(45/(-40) + 1)?
832
Let j be (-20)/(-2)*14/(-28). What is the common denominator of (-5415)/675 + (-4)/j + -1 and -1/9?
9
Calculate the least common multiple of ((-14)/(-3)*2)/(14/21) and (198/24)/(6/16).
154
Let f(s) = -36*s - 197. Calculate the least common multiple of f(-7) and 11.
55
Suppose 39 = 3*o - 2*l, -5*o + 2*l + l = -66. Let q(r) = -r - 1. Let y be q(o). What is the common denominator of ((-40)/(-36))/(y/6) and 55/12?
12
Let p = -33 - -36. Calculate the common denominator of (-2)/10 - (-2)/(-4) and 186/(-33) + 1 + p.
110
Suppose 4*z + 4*x = -x + 20, z + 2*x - 2 = 0. What is the common denominator of (-10)/(-8)*(-5)/20*z and 77/16?
16
Let o(z) = -5*z**3 - 2*z**2 + 1. Let m = 0 - 1. Calculate the lowest common multiple of o(m) and 4/(-18) - 1/(81/(-1800)).
44
What is the smallest common multiple of 240 and 68/136 - (2 + (-66)/4)?
240
Suppose 278 = -10*m - 92. Let a = m + 44. Calculate the lowest common multiple of a and 3.
21
Suppose 4*c + 5*u - 35 = 0, 6 + 29 = c - 4*u. What is the common denominator of -52/9 and (-3)/c + (-972)/40?
18
What is the least common multiple of 46 and 913/166*16/11?
184
Let t be 3 + (-3 - 2) + 4. Suppose z = 2*b - 2 - 2, t*z + 5*b - 19 = 0. What is the least common multiple of 2 and z?
2
Suppose 9*f = 4*f + 30. What is the lowest common multiple of 18 and -2*(-3)/f - -3?
36
Let x be 141/27 + 2/(-9). Suppose j - x = 3. Calculate the smallest common multiple of j and 4/14 - (-150)/14.
88
Let w(z) = 14*z**3 - 23*z**2 + 3*z. Calculate the least common multiple of w(3) and 100.
900
Let y = -128 + 248. What is the least common multiple of y and 132?
1320
Suppose 0 = -3*v - 0*v + 12, 24 = n + 2*v. Suppose -11*g - 15 = -n*g. What is the lowest common multiple of (g/(-2))/(13/(-78)) and 4?
36
Let h(i) = -i**3 - i**2 + 4*i - 1. Let w be h(-3). Suppose 24 = 2*z + 4*r - 38, 5*z = w*r + 80. Calculate the least common multiple of z and 3.
21
Let b = 50213/3458 - 276/19. Let d = -774/91 - b. What is the common denominator of d and 77/6?
6
Let v(s) = -s - 17. Let w be v(6). Let g = 8 + w. Find the common denominator of 206/(-140) - g/(-35) and 45/11.
110
Let k = -1066 + 21343/20. Calculate the common denominator of k and 101/84 + 16/(-96).
140
Suppose -3*u + 86 = 32. Suppose -4*x = g - u, -x - 4*g = -3*x + 18. Let h = 19 + -12. Calculate the least common multiple of h and x.
35
Let q(k) = 10*k**2 - k - 5. What is the lowest common multiple of q(2) and 96?
1056
Let l = -3495547/120 + 29130. What is the common denominator of 73/150 and l?
600
Calculate the common denominator of (-3)/10 + 70029/(-22320) and (-12)/16*(-202)/90.
240
Let g(j) = -2*j**3 - 4*j**2 - j + 7. Let q(w) = -5*w**3 - 8*w**2 - 2*w + 15. Let z(v) = -7*g(v) + 3*q(v). What is the smallest common multiple of 8 and z(3)?
8
What is the common denominator of 97/20 and (-1 + 10 + -7)*(-13)/120?
60
Suppose 0 = -3*r + 5*d + 208 + 232, -4*r + 581 = -d. Calculate the lowest common multiple of r and 8.
1160
Suppose -15 = -3*g - 3. Suppose 0 = -0*o - o + 2*j + 14, 14 = o - g*j. Let t = 10 + 4. Calculate the lowest common multiple of o and t.
14
Suppose -155 + 47 = u. Let c = u - -62. Let s = -5040 - -30163/6. What is the common denominator of c and s?
6
Let u(q) = q - 1. Let a = 21 - 20. Let y be u(a). Find the common denominator of -2 + 174/9 - y and -20/11.
33
Let a = 9 - 7. Calculate the least common multiple of a and ((-369)/15)/(-3) - 15/75.
8
Suppose -3*t + 51 = 2*n - 13, -88 = -4*t - 4*n. Calculate the smallest common multiple of (1 - (-1)/(-1)) + 2 and t.
20
Suppose -180 = -63*m + 51*m. Calculate the smallest common multiple of m and 55.
165
Let x = -5651/177 + -537007/118. Let s = 4561 + x. Find the common denominator of (-62)/(-16)*(-2)/(-3) and s.
12
What is the lowest common multiple of 52 and (-2)/8 + 5508/144?
988
Let r(m) = -7*m - 2. Let g(n) = -n. Let j(b) = -6*g(b) + r(b). Suppose 0 = -6*l - 12 - 6. Calculate the smallest common multiple of j(l) and 8.
8
Let m = 558/7 + -8993/105. What is the common denominator of -121/80 and m?
240
Let m = 84 + -78. What is the least common multiple of m and 1?
6
Find the common denominator of 62/65 and 6/(-18) + 222/(-45).
195
Suppose 2*x - 36 = -0*x. Suppose 16*b - 17*b = -16. What is the smallest common multiple of b and x?
144
Suppose 0 = -2*r - 2*q - 24, q - 17 = -3*r - 63. What is the lowest common multiple of r/(-5) - 27/(-45) and 8?
8
Suppose -94*c - 56 = -108*c. What is the least common multiple of c and 154?
308
Let w = 3245/257011 + 1051642272349/17476748. Let r = 60175 - w. Calculate the common denominator of r and 5/8.
136
What is the lowest common multiple of 11 and ((-22)/4)/11 + (-246)/(-4)?
671
Suppose 18*d - 11*d - 140 = 0. What is the lowest common multiple of 210 and d?
420
Let i(v) = 6*v**2 - 27*v + 17. What is the least common multiple of 26 and i(4)?
130
Suppose -5*i = -0*i + 2*i. Suppose 0 = -i*q - 14*q + 56. Calculate the least common multiple of 10 and q.
20
What is the common denominator of -67/22 and (-5)/((-200)/212) - 6?
110
Find the common denominator of 36/81 - 20/24 and -103/54.
54
Let b = 1808/1431 - 11629153/62964. Let n = b + 2005/11. Find the common denominator of 35/22 and n.
44
What is the common denominator of (-92)/690 + (-2 - 461/(-270)) and 67/45?
270
Let b = -22 - -13. Let p = 14 + b. Suppose a - 2*l - 2 = 0, -4*l - p = -3*a + 7. What is the lowest common multiple of 3 and a?
24
Let t = -10 + 12. Let b(m) = 0 + 3*m + 3 + 3*m**2 - m**3 - 5. What is the least common multiple of t and b(3)?
14
Suppose 8 = 3*l - 10. Calculate the lowest common multiple of l and 94.
282
Suppose 36*w - 33*w - 42 = 0. What is the least common multiple of w and (-66)/(-14) + 14/49?
70
Suppose 5*p = -4*c + 45, 0 = -5*c - 3*p + 8*p. Suppose 0*o - 3*j - 48 = -4*o, 57 = c*o - 3*j. Calculate the least common multiple of 30 and o.
90
Calculate the least common multiple of ((-300)/(-45))/(5/1