text: the smallest common multiple of v and 540.
  540
  Suppose 40*y = 37*y + 2274. Let n = 814 - y. Calculate the lowest common multiple of 136 and n.
  952
  Suppose 2*l = 8, 1684 = 3*q + 5*l + 530. Suppose -q = -40*v + 33*v. Calculate the lowest common multiple of v and 18.
  54
  Let w = 17639 - 423337/24. Find the common denominator of -137/1120 and w.
  3360
  Suppose 11*r - 62 = -18. Suppose 5*w + o + r*o = 340, -4*w + 292 = -o. Calculate the smallest common multiple of w and 66.
  792
  Let x be (-5 - -8 - 5)*-1142. Let f = x - 27461/12. What is the common denominator of -71/24 and f?
  24
  Let h(m) = -58*m**2 + 52*m - 5 + 59*m**2 + 132 + 22. What is the smallest common multiple of h(-49) and 410?
  410
  Let o be (-4 - -3)/(1/(2 + 7)). Calculate the common denominator of 79/10 and (678/(-400))/(-6 - o).
  200
  Suppose 0 = -4*f + 2*p - 632, 2*p = -f - 121 - 47. Find the common denominator of -53/8 and 2*(-452)/f - 3/(-4).
  40
  Find the common denominator of 145/756 and (0 - -1)*-8 - ((-3479008)/96768 - -28).
  3024
  Let y = 8325 - 7198. What is the least common multiple of 112 and y?
  18032
  Let f(y) = -y**2 - 2. Let i be f(-2). Let x be i/(-1654)*(-2)/(-6). Let a = 62033/6616 - x. Find the common denominator of a and 57/10.
  40
  Let l = -15 + -69. Suppose 12*t + 820 = 2*t. Let f = t - l. Calculate the lowest common multiple of f and 1.
  2
  Suppose 25*a - 6 = 24*a. Find the common denominator of -133/54 and a/(-30) - (3454/(-180))/(-11).
  54
  Suppose -5*x - 14*k + 15*k + 285 = 0, 3*x - 5*k = 193. Calculate the smallest common multiple of 22 and 1552/x + 3/42*4.
  308
  Let v = -43 - 9. Suppose 5*l + 46 = -3*o, 4*o - 3*o = l - 2. Calculate the smallest common multiple of o/(-2) - (-78)/v and 12.
  12
  Let a = -25633784023/639764637800 + -3120/4138193. Let z = a - -9/1546. Calculate the common denominator of z and 139/18.
  1800
  Let v(g) = 14*g - 4*g**2 + 22 - g**3 - 7*g**2 + 7. What is the lowest common multiple of v(-12) and 13?
  65
  Let z be 10/(-60) - 658603/24. Let p = -27436 - z. Calculate the common denominator of p and 17/108.
  216
  Let x = -971 + 6766/7. Let r = 344563/47 - 7332. Find the common denominator of r and x.
  329
  Suppose 65*d = 67*d + 2*q - 1048, -d + 4*q = -544. What is the least common multiple of 528 and d?
  528
  Let q = 2000 + -63901/32. What is the common denominator of 27/766 and q?
  12256
  Suppose r + 3*h + 3 = 3*r, -4*r - h + 27 = 0. Suppose -3*a - r + 24 = 0. Calculate the smallest common multiple of a and ((-12 - -16) + -1 + 8)/((-5)/(-5)).
  66
  Let s be (1 - 2)*10/(-2). Let j = 1834 + -1825. Suppose s*g + x - 96 = -j, g - 5*x = 33. What is the smallest common multiple of 12 and g?
  36
  What is the common denominator of -127/30 and ((-40)/2)/(-5) - (-2753)/2088*-3?
  3480
  Let b be (-46)/(-69) + 4/(-6). Suppose b*h - 869 = -3*h + 4*w, 4*w - 901 = -3*h. Suppose -9*z + h - 79 = 0. Calculate the least common multiple of z and 27.
  216
  Suppose -8*u = -48 - 16. Suppose 0 = u*b - 22 - 2. What is the smallest common multiple of 30 and b?
  30
  Let t = -12 + 7. Let b be (-1902)/(-3555) - (0 - 2/t). Let k = -12997/3792 - b. What is the common denominator of k and 119/6?
  48
  Suppose 5*z - 265 = 5*u, 0 = 4*u + 2*z - 0*z + 188. Let p = u - -75. Calculate the smallest common multiple of p and 10.
  130
  Let i(d) = -4*d - 34. Let o be 1/4 + -1*164/16. Let l be i(o). Suppose 3*z = l*z - 21. Calculate the lowest common multiple of z and 1.
  7
  Let z be -2 - -4 - 4/(-4). Let g = z - -1. Let b = g + 14. Calculate the least common multiple of b and 12.
  36
  Let c(l) = l**3 + 3*l**2 - 5*l - 5. Let i(u) = -u**2 - u - 1. Let g(z) = -c(z) - i(z). Let j = 3926 - 3922. Calculate the least common multiple of j and g(-4).
  28
  Suppose -53 - 43 = 6*f. Find the common denominator of 19 + -22 + (-190)/f and 11/4.
  8
  Suppose 0*t + 113798 = -4*q - 2*t, -2*t = -10. Let b = 1564802/55 + q. Find the common denominator of 61/88 and b.
  440
  Suppose 0 = h - i + 19, -5*h - i - 105 = -4*i. What is the lowest common multiple of (15 - -1) + h + 24 and 678?
  5424
  Let n = -94086 + 71505429/760. What is the common denominator of -62/171 and n?
  6840
  What is the smallest common multiple of (2 + (-30)/18)*(90/9 - -23) and 3959?
  43549
  Let w be -6*(-2)/(-3) - 520/(-4). Let f = 144 - w. Calculate the smallest common multiple of f and 4.
  36
  Let p = -189223/2070 - -2115/23. Calculate the common denominator of 50/324*(24 + -22) and p.
  810
  Let r be (0 - -2) + (98/(-2))/(-7). Suppose -18*j + 9*j + r = 0. Find the common denominator of 91/8 and (j/(-132))/(2/620).
  264
  Let c be (-13)/((-3)/(-4) + (-14)/8). Let k = 1 + -3. Calculate the lowest common multiple of 2 and c + (-1 - k) + 0.
  14
  Let k = -5592 - -111807/20. Find the common denominator of 91/7950 and k.
  15900
  Let j = 6804 - 3731. What is the smallest common multiple of j and 28?
  12292
  Let q(g) = 68*g - 3. Let k be q(-1). Let c = k + 77. Suppose -3*t = -2*l + 68, 28 + 0 = l - 3*t. What is the smallest common multiple of c and l?
  120
  Let a be 1 + 4 + -1 - (-2421958)/(-60). Let q = a + 40366. Find the common denominator of q and -11/40.
  120
  Suppose -34*t = -12*t + 5566. Let s = -231 - t. What is the smallest common multiple of s and 138?
  1518
  Let d(x) = 585*x - 19. Let r be d(4). Suppose 2*g = -3*i - 2443 + 9381, -i + r = -g. Let u = i + -20891/9. Find the common denominator of u and 36/25.
  225
  Let k = 25249/2565 - 278/27. Calculate the common denominator of 39/(-78) + (-122)/(-10) and k.
  190
  Suppose 99*n - 2160 = 84*n. What is the lowest common multiple of 192 and n?
  576
  Calculate the common denominator of (-18)/(1080/380)*3/16 and -85/124.
  496
  Let y = -69901/371424 + 5/5088. Find the common denominator of 88/1095 and y.
  1095
  Suppose -72*s = -7*s - 1430. Calculate the least common multiple of s and (23 - 0) + 0 + -3.
  220
  Let u = -17 + -11. Let o = -45 - u. Let g = 33 + o. Calculate the least common multiple of 18 and g.
  144
  Let g = -7478 - -658065/88. Let u = 2483 - 19831/8. Calculate the common denominator of g and u.
  88
  Let y = 76743290/3076291 + 15/130906. Let x = 200975/7896 - y. Find the common denominator of x and -59/49.
  1176
  Let b = 67533/10 - 6759. Calculate the common denominator of b and 36/432*108 + (-5214)/560.
  280
  Suppose 5 = 49*l - 50*l. Let y be 40/2 - l/(-10)*0. Suppose 6*i - i = w + 34, y = -5*w. What is the least common multiple of i and 14?
  42
  What is the common denominator of 1/(-24)*142633/(-11970) - 3/6 and 4/7?
  15120
  Let z(s) = -58*s - 4. Suppose -77 - 28 = -3*g + 3*y, -165 = -4*g - y. What is the lowest common multiple of z(-2) and g?
  560
  Let i = 5564347/438466 + -1/93957. Let f = -4/21 + i. Calculate the common denominator of f and -75/148.
  148
  What is the smallest common multiple of 2231 - (-1 + (-9)/(63/(-70))) and 16?
  17776
  What is the common denominator of (-1)/10*3 + 6275/(-750)*1 and 7*46/390 - 1?
  195
  Calculate the common denominator of (13/(-156))/((-1)/(-2))*-142 and (15/(-177))/((-8)/(-120)*-3).
  177
  Suppose 2*h = 4*f - 488, 3*f + 2*h = -2*f + 592. Suppose 7*r - f = -8. What is the smallest common multiple of 18/(0 + 3/2) and r?
  48
  Let y(z) = -943*z - 1. Let p(f) = 942*f. Let m(j) = 2*p(j) + 3*y(j). Let g be m(1). Calculate the common denominator of 21/8 and (g/96)/((-1)/(-1)).
  8
  Suppose 5*n = x - 109, -2*x = 2*n - 6*x + 40. Let u = 48842/15 - 3261. What is the common denominator of u and (30/8 - -1)*n/55?
  30
  Let h = 144931 - 103625633/715. Find the common denominator of 109/1144 and h.
  5720
  Suppose 3*j - 5*d = 7189, -7191 = -3*j + 24*d - 21*d. What is the smallest common multiple of 3924 and j?
  43164
  Find the common denominator of 80/39 and (-1 + (-2720)/(-2730))/((-104)/632).
  3549
  Suppose -16 - 152 = -4*v. Suppose 92*n - 103*n - 99*n = 2860. Let q = v - n. Calculate the smallest common multiple of q and 8.
  136
  Let a = 33989/2 + -61299160/3607. Find the common denominator of -55/14 and a.
  50498
  Let u = 1069433/36 + -29704. Let r = -28991/561 - -1807/34. Calculate the common denominator of r and u.
  396
  Find the common denominator of 16016/(-1440) + 16/72 and 31/1802.
  9010
  Suppose 0 = 2*u - 7 + 19. Find the common denominator of (-9)/(-2730)*-146 + (-80)/(-100) and 20/(-6)*13/u.
  819
  Let q = -75 - -64. Let a(l) = 2*l**2 + 18*l - 4. Calculate the lowest common multiple of a(q) and 6.
  120
  Let k = 15/214 - 2277/428. Suppose -z + 3*p - 34 = 0, -z + 2*p + 3*p - 38 = 