text: on multiple of 12 and z.
  24
  Let j be (-241851)/90*(4 - 1). Let g = j - -8052. Find the common denominator of -23/10 and g.
  10
  Let l(p) = -5*p**3 - p**2 + p + 1. Let q be l(-1). Suppose q*i + 95 = -i. What is the lowest common multiple of (1 - i)*4/8 and 18?
  90
  Let n(c) = -2*c**2 - 5*c - 3. Let s be n(-3). Let l = s + 2. What is the least common multiple of (11/l)/(2/(-16)) and 6?
  66
  Let t be (-12)/(2 - -2) - -2. What is the common denominator of (-335)/(-20) + 0/t and 127/18?
  36
  Let p = 129111/16 - 8064. What is the common denominator of p and -133/6?
  48
  Let i = 97/3 + -102629/3174. Let m be ((10/(-276))/5)/((-23)/(-25918)). Let w = m + i. Calculate the common denominator of 20/3 and w.
  6
  Let a = 318977/456 - 1399/2. Let y = 223/26832 + -4980455/509808. Let r = y + a. Find the common denominator of 77/10 and r.
  20
  What is the common denominator of -50/9 and (924/40)/(-7) + -1?
  90
  Let o = -2167 + 595. Let l = -7836/5 - o. Find the common denominator of 1/8 and l.
  40
  What is the smallest common multiple of 57/4 + (-12)/48 and 44?
  308
  Let z = -984 - -10831/11. What is the common denominator of 87/20 and z?
  220
  Let t = -28 - -47. Suppose -t = -3*z + 17. What is the lowest common multiple of (z/15)/(3/15) and 2?
  4
  Suppose 26 = 3*s - h, 8 = 2*s - h - 2*h. What is the least common multiple of 6 and s?
  30
  Let q = -1/7937 - 944479/190488. What is the common denominator of (17/(-170))/(2*(-2)/246) and q?
  120
  Suppose 32 = 4*m - 3*m. Suppose 0 = 4*n - 0*n - m. Suppose 3*r - 4*c + 1 = 0, -5 = -r + 4*c - n*c. What is the least common multiple of 7 and r?
  7
  Let l = 512/6437 - 1/157. Let m = l + 117/82. What is the common denominator of -45/2 and m?
  2
  Let m = 1956237/50 + -39126. Find the common denominator of 91/18 and m.
  450
  What is the common denominator of ((-1)/18*236)/(14/(-3)) and -55/21?
  21
  Let f(m) = m**3 + 5*m**2 - 6*m + 2. Let o be f(-6). Suppose 5 = -h + o. Let w(v) = v**3 + 3*v**2 - 3*v - 4. What is the least common multiple of 11 and w(h)?
  55
  Let a(v) = -3*v**2 + 5*v**2 + v - v**3 - 4 - 3*v**2. What is the least common multiple of -2 + (-55)/(-2 - 3) and a(-3)?
  99
  Suppose 0 = 4*k + i + 11, -5*k + k - 1 = 3*i. Calculate the smallest common multiple of 18 and (-3)/(-3) + k + 25.
  198
  Let z be 16163/168*(-4)/(-26). Let b = z + -2/39. What is the common denominator of (-3)/12 + (-458)/(-24) and b?
  12
  Let g be (-3)/(-9) + 56/12. What is the common denominator of 45/11 and 15/(-5) - 37/g?
  55
  Let w = -2 - -24. Let a(t) = -t + 22. What is the lowest common multiple of a(8) and w?
  154
  Let z = -245/6 - -39. What is the common denominator of 59/2 and z?
  6
  Calculate the smallest common multiple of 8 and 3/(-2) + 1 - 111/(-6).
  72
  Let z be (2/4)/((-1)/(-14)). What is the least common multiple of 20 and z + -4 + 1 - 0?
  20
  Let r be 1*(2 + 0) - -25. Suppose -3*o + f - r = -6*o, -16 = -o + 2*f. Suppose 70 = 10*j - 50. What is the smallest common multiple of o and j?
  60
  Let v(y) = -3*y - 17. What is the lowest common multiple of 5 and v(-8)?
  35
  Let x = 18 + -14. What is the common denominator of -40/9 and (-178)/x*1 - -1?
  18
  Let v(r) = 4*r**2 + r - 1. Let j be v(1). Let u = 9 - j. Suppose u*c - 2*c - 76 = -4*z, 3*z = 3*c + 36. What is the least common multiple of z and 18?
  144
  Let i(k) = -2 + 4*k + k + 0*k - 2. Let p(w) = -10*w + 7. Let y(h) = 5*i(h) + 2*p(h). Calculate the smallest common multiple of 16 and y(4).
  112
  Let c = -7 + 21. Suppose -3*n - c = 1. Let b(w) = -w**3 - 6*w**2 - 7*w - 3. What is the least common multiple of 11 and b(n)?
  77
  Suppose -t - 3 + 11 = 0. What is the smallest common multiple of 6 and t?
  24
  Suppose -n + 14 = 2. What is the smallest common multiple of 12 and n?
  12
  Let q = -17 + 2. Calculate the common denominator of q and -3 - 259/(-70) - (5 - 1).
  10
  Suppose -3*v - 8 = -h, 0*h + 72 = 3*h + 3*v. What is the smallest common multiple of 22 and h?
  220
  Let b = 617 - 12293/20. Let i = -5 - -3. Find the common denominator of b and i + 4 - 93/(-10).
  20
  What is the common denominator of -35/4 and (582/30)/(4/(-10))?
  4
  Let p(s) = 8*s - 3. Let w be p(5). Suppose 3*y + 10 - w = 0. What is the smallest common multiple of y and 8?
  72
  Let u = 160449/3496 + -4321/152. Let n = -3/2806 - -189/5612. Let q = n + u. Calculate the common denominator of q and -47/3.
  6
  Suppose -5*t + 26 = -0*t + 4*m, -4*m - 4 = 0. What is the smallest common multiple of 5 and t?
  30
  Suppose 2*i + 3*i + 95 = 0. Let d = -12 - i. Calculate the least common multiple of 11 and d.
  77
  Let d be -3 + (1315132/(-142560))/7. Let t be (-4)/(-6) - (-4318)/(-6480). Let i = d - t. What is the common denominator of -53/18 and i?
  198
  Let v = 18084/13 + -1392. What is the common denominator of v and -151/6?
  78
  Let w = 7 - -1. What is the least common multiple of 6 and w?
  24
  Let s(g) = -g. Let p be s(-3). Let v = -349/90 - -13/30. Find the common denominator of v and ((-13)/4)/(2/p).
  72
  Let t = 8019789/902 - 607/451. Let g = t + -8888. Calculate the common denominator of -101/4 and g.
  44
  Let w = 19 - 29. Let s(d) = -d**2 - 11*d - 6. Calculate the least common multiple of s(w) and 2.
  4
  Suppose -3*g - 2*r + 20 = 0, 5*g + 3*r - 36 = r. Calculate the lowest common multiple of g and 1.
  8
  Let j be 20 + 5 + -3 - 0. Suppose -2*r = -4*r + j. Let q = -9 + r. What is the lowest common multiple of 6 and q?
  6
  Let i = -21 - -35. Suppose 0 = -s + d + 6, 5*s + 2*d = -d + i. Calculate the smallest common multiple of 6 and s.
  12
  Let t(i) = 0*i**2 + 3*i - 7*i - i**2. Let r be t(-3). Let q(x) = 2*x. What is the least common multiple of q(r) and 4?
  12
  Suppose 3*h - 8*h = -12330. Let j = h + -9789/4. What is the common denominator of -77/4 and j?
  4
  What is the common denominator of (-44)/18 + (5 - 5) and 16?
  9
  Suppose 21 = 4*g - 31. Let l = g + -5. What is the smallest common multiple of l and 7?
  56
  Calculate the common denominator of (21/140)/((-3)/122) and -10/11.
  110
  Let r = 37 - 19. Suppose 0 = -4*l + 6 + 2. Calculate the least common multiple of l and r.
  18
  Let z be (-2)/((-3)/((-6)/(-4))). What is the smallest common multiple of 11 and ((-16)/(-2) - -1)/z?
  99
  Let r be ((-68)/(-16) - 0)*8. Let t = r - 23. What is the least common multiple of 11 and t?
  11
  What is the lowest common multiple of -3 + 6*16/12 and 9?
  45
  Find the common denominator of 7/3 and 1/(-1) - 41/3.
  3
  Suppose 0*r + 24 = 4*r. Suppose -4*w + 2*j + 8 = 0, -6 + 0 = -3*w - 3*j. Calculate the least common multiple of w and r.
  6
  Let j be (58/(-8))/(3/(-4)). Let y = j + -527/30. What is the common denominator of (-132)/(-4)*7/(-18) and y?
  30
  Let u(w) = w + 2. What is the lowest common multiple of u(4) and 7?
  42
  Suppose -4*j = -3*a - 36, -2*j + 45 = 3*j + 3*a. What is the smallest common multiple of j and 7?
  63
  Let s(r) = -8 - r + 0*r + r**2 + 5*r - 2*r. Calculate the smallest common multiple of 10 and s(4).
  80
  Let v = -31445/9 - -3488. Let d = 4 - 3. Calculate the common denominator of d + -25*1/(-1) and v.
  9
  Let q be (-2)/1*(-8)/4. Suppose -q*z - 22 = 38. Let u = -8 - z. Calculate the smallest common multiple of 8 and u.
  56
  Let p = -13428691344152 + 46718417658558181/3479. Let n = p + -135744. Let t = n - -170498/31311. Calculate the common denominator of t and 37/2.
  18
  Suppose 179 = -3*m + 2*u, 3*m - 27 = -4*u - 236. Calculate the common denominator of m/10 + 6 + -9 and -37/8.
  40
  What is the common denominator of 31/(-39) + (-20)/30 and 87/8?
  104
  Let q be 1*-4*1/(-1). Suppose -2*j = 2*r - 2, 0*r = 3*r - q*j - 31. Suppose -38*u + 37*u = -4. Calculate the smallest common multiple of r and u.
  20
  Let v(y) = -y**3 - y**2 - 2. Let n = 2 - -5. What is the smallest common multiple of n and v(-2)?
  14
  Suppose -5*f + 3742 = -8778. Let a = -19973/8 + f. Calculate the common denominator of a and -39/20.
  40
  Let z be (-519)/(-30) - 1/(-2). Let x = 28/781 - -461011/15620. Let t = z - x. Find the common denominator of 49/6 and t.
  12
  Let d(q) be the second derivative of -q**3/2 - q**2/2 + 22*q. Let o be -1 + (-4)/2*1. What is the lowest common multiple of d(o) and 2?
  8
  Calculate the common denominator of 93/(-36) - 2/8 and (-1)/(-3) + 870/108.
  18
  Let q = -1 - -4. Suppose -3 - 6 = -q*z. Let h = 2 + 0. Calculate the least common multiple of h and z.
  6
  What is the smallest common multiple of 47 and (16/(-2))/(-27 + 26)?
  376
  Suppose 5*i = -5, 2*n + 3*n + 2*i - 118 = 0