
Suppose -2*l + 27 + 143 = 0. Let d = l - 45. Calculate the least common multiple of 6 and d.
120
Suppose -5*y + 69 + 66 = 60. What is the lowest common multiple of 1764 and y?
8820
What is the lowest common multiple of ((-2)/(-8))/((-12)/(-192)) - 10/(-1) and 1136?
7952
Let p(t) = -2*t**3 - 3*t**2 - 2*t - 1. Suppose -2*f + 2*a - 4 = 0, 2*f - a + 0*a + 4 = 0. Calculate the smallest common multiple of 68/7 + 125/(-175) and p(f).
63
Suppose 0 = -2*o + 4*r + 18, 0 = 5*o + 2*r - 8 - 1. Suppose -6*g - 4 = -x - 9*g, 12 = 3*x - o*g. What is the least common multiple of 28 and x?
28
Let q = -1358 + 1611. Calculate the least common multiple of q and 1449.
15939
What is the common denominator of -79/561 and (11 - 12) + ((-16432)/(-1320))/13?
2805
Let m(q) = -4*q**2 + 5*q + 35. Let r(b) = -5*b**2 + 5*b + 36. Let w(v) = 4*m(v) - 3*r(v). What is the lowest common multiple of 16 and w(-3)?
16
Calculate the common denominator of (4/(-2416))/((-3*(-4 + 7))/5) and 83/6.
5436
Let w = -2/2431 - -5326/26741. What is the common denominator of (10/165)/((-22)/123) and w?
121
Let s(b) = 186*b**3 - 7*b - 7. Let y be s(-4). Let k = 178313/15 + y. Find the common denominator of k and -77/135.
135
Suppose -t + 4*t = -1455. Let c = t + 6681/14. Let y = -2097/4 + 520. What is the common denominator of y and c?
28
Let u be 9650/30 - 4/6. Let k = -138 + u. What is the smallest common multiple of k and 9?
549
Let d = -27061/16 - -885025/528. Let y = -182/11 - d. Find the common denominator of -47/39 and y.
156
Let k(h) = h - 10. Let a be k(4). Calculate the smallest common multiple of 57 and 1 + 12/2 + (-5 - a).
456
Suppose -22*n + 3*n = -475. Suppose -a + n = -k, -a - 14*k = -10*k - 5. What is the lowest common multiple of a and 102?
714
Let b = 236809 - 49729993/210. Find the common denominator of -69/56 and b.
840
Let w = -447504 + 6726047/15. Let r = 900 - w. What is the common denominator of r and 13/135?
135
Let n(s) = -678*s + 14 - 381*s + 124*s + 169*s. Let p be n(-7). What is the common denominator of -39/8 and (-3280)/p - (-4)/(-14)?
48
Let x = -93 + 91. What is the lowest common multiple of 75 and (x/(-6))/((-1)/(-9))*5?
75
Let b(s) = -12*s - 94. Let v be b(-7). What is the common denominator of (4 - (-7554)/(-1890)) + 4/v and 41/21?
63
Suppose 2*d + 2 = -2*s + 8, -4*s - 3*d + 15 = 0. Suppose 2*v - s*v - 444 = 0. What is the common denominator of 31/22 and 2/(-1) + v/(-612)*3?
748
Calculate the smallest common multiple of 4 and (-418)/(-4) - 313/626.
104
Suppose 46*d - 71949 = -124*d + 58611. Calculate the lowest common multiple of 2560 and d.
7680
Let f be -2 - ((-160)/4 + -4). Suppose -f = -35*p + 28. Calculate the smallest common multiple of 140 and p.
140
Suppose 327*b - 65 = 340*b. Find the common denominator of b/(-35) - 4437/189 and -29/42.
42
Suppose -23*v = -21*v - 10. Suppose -306 = -v*r + 214. Calculate the lowest common multiple of r and 12.
312
Let b = -389 - -394. Suppose 6 = b*d - 4. What is the lowest common multiple of 11 and d?
22
Suppose 5*l - 484 = 4*q, 5*q + 89 = -2*l + 276. Suppose -2*z = 2*z - l. Let s = 255093 + -255078. Calculate the lowest common multiple of z and s.
120
Let h(c) = -50*c + 5. Let z be h(0). Suppose z*n = -2*o + 246, o + 59*n = 62*n + 112. Calculate the lowest common multiple of o and 4.
236
Suppose -10*r - 11 = -13*r + a, 4*r - 40 = -5*a. Let b(m) = -m**3 + 7*m**2 - m + 2. What is the least common multiple of r and b(3)?
35
Let s be (-2)/(-70)*-1327 + 108/(-378). Let t be (-10)/(-5) - (-3106)/(-80). Let v = t - s. Calculate the common denominator of 21/16 and v.
16
Let n(q) = 198*q**2 + 3*q - 4. Let f be n(-6). Let b = -1353123/44 + 41641947/1100. Let r = b - f. Calculate the common denominator of r and -35/6.
150
Let u = 49410879/10 - 4945381. Let r = u - -4301. What is the common denominator of 18/210*(-85)/(-2) and r?
70
Let u = 16364981/1928816960 + -2/861079. Calculate the common denominator of 137/70 and u.
2240
Let s(d) = 9*d**2 + 1156*d + 698. Suppose 0 = -y + 2*a + 29, -y + 7 + 24 = -4*a. What is the least common multiple of s(-128) and y?
1674
What is the smallest common multiple of (-24)/(-28) + (-229200)/(-42) and 18?
49122
Suppose -133 = -4*h - o, 2*h + 4*o - 53 = 17. Calculate the smallest common multiple of 33 and h.
33
Let k = 70 - 48. Let g = -134 + 200. Suppose 3*n - g = -0*n + 2*j, 0 = -2*n + 4*j + 44. Calculate the lowest common multiple of n and k.
22
Suppose 23*c - 144 = 7*c. What is the lowest common multiple of 1556 and c?
14004
Let p = -49257664170893/60651699696 + 2/541533033. Let i = -4867/6 - p. Find the common denominator of -43/12 and i.
336
Suppose 41*i + 35 = 271 + 256. What is the smallest common multiple of i and 692?
2076
Let w = -1355 - -1405. Calculate the lowest common multiple of w and 56.
1400
Suppose 379 = -4*t - 11*t + 424. Calculate the least common multiple of 1505 and t.
4515
Let y = 9/800 + 5791/800. Calculate the common denominator of y and 95/1924.
1924
Suppose 240*u + 145959 = -11*u + 669294. What is the smallest common multiple of u and 834?
4170
Let f = 136 + -147. Calculate the common denominator of 43/12 and (f/(55/(-4)))/((-6)/185).
12
Let s = -148 + 195. Suppose -3*b - 2 = 3*c - s, 2*b = 5*c + 37. Calculate the smallest common multiple of b and 14.
112
Let c(n) = -3*n - 76. Let q = 90 + -75. Let w be c(q). Let d = -105 - w. Calculate the least common multiple of d and 5.
80
Let b = -454/1033 + 1136573/2658942. What is the common denominator of b and 23/198?
2574
Let i(y) = y**2 - 17*y + 77. Calculate the least common multiple of i(9) and 385.
385
Let k = 15931/132 - 1191/11. Find the common denominator of 3/356 and k.
1068
Let l = 8 + -6. Let u(s) = -15*s**2 + 14*s**2 + 8*s + 3*s**2 + 10. Calculate the least common multiple of u(-2) and l.
2
Let j = -1343373/79263404 - -5/58111. Find the common denominator of j and -27/8.
2728
Let a be 21/(-18) - (-6)/36. Let p(j) = 18*j**2 - j + 1. Let k = 61 - -49. What is the smallest common multiple of k and p(a)?
220
Let j(h) = 5 + 3 - 10*h**2 + 5 + 12*h**2 + 12*h. Let c be j(-4). Calculate the common denominator of (-29)/6*c/8 and 77/8.
16
Suppose 0 = -2*b + 4*o, -3*b = 14*o - 10*o - 20. Suppose 0 = 5*p - b*h - 1078, -4*p + 478 + 386 = -4*h. What is the lowest common multiple of 4 and p?
428
Calculate the common denominator of 18/13 and 110/20 - 5 - 1 - (-319)/678.
4407
Suppose -11*b + 18*b - 14966 = 0. Let r = 10731/5 - b. What is the common denominator of r and -163/42?
210
Let n = -55 + 59. Suppose -j = -0*j + n*j. Suppose j = -d + 10*d - 27. Calculate the smallest common multiple of 3 and d.
3
Suppose -7*f - 1102 = 977. Let h = -269 - f. Suppose -2*a - 10 = -s, 4*a = -3*s + 29 + 21. What is the lowest common multiple of s and h?
28
Let d(o) = 2*o**2 - 8*o - 41. Let v be d(-7). Suppose 207 = 2*k - v. What is the lowest common multiple of k and 40?
160
Let b = -75311/227290 + 9/3247. Calculate the common denominator of b and (-3)/(-42)*6/(-12).
140
Let j = 23833/12600 + -484/315. Calculate the common denominator of -115/72 and j.
1800
Let z(h) = 5*h**3 - 2*h + 1. Let y be z(1). Suppose -y*o + 528 = 200. Calculate the least common multiple of 6 and o.
246
Suppose 77*w + 2*k + 8000 = 81*w, -3*k + 12 = 0. What is the smallest common multiple of w and 28?
4004
Let i = 31 + 5. Suppose 20 = 6*p + 8. Suppose -3*l = -5*j + 24 - 134, 4*j + 72 = p*l. Calculate the least common multiple of l and i.
360
Suppose 15*a - 75 = 12*a. What is the lowest common multiple of (-1 + a)/(6/8) and 4?
32
Suppose -s = k + s - 18, -22 = -3*k + 2*s. Suppose -3*j = -4*a - 26, 2*j - 7*a - 2 = -12*a. What is the lowest common multiple of k and j?
30
Let d(w) = w**2 + 20*w + 19. Let q be d(-19). Suppose 4*b + p + 100 = 9*b, -5*b - 5*p + 100 = q. What is the lowest common multiple of b and 24?
120
Suppose -35 - 45 = -5*h. Suppose 4*v - 811 = -3*k, -9*k + 6*k + 5053 = 25*v. What is the smallest common multiple of v and h?
1616
Suppose 5*h + 33*h - 28981 = -1431. Calculate the least common multiple of 290 and h.
1450
Let o be ((-2324)/(-6))/(55/(-1450)). Let n = o - -10220. Let p = n - 7907/858. Find the common denominator of -131/12 and p.
156
What is the common denominator of -29/184 and 35/(-6)*(-15 - 419/(-28))?
552
Let f(k) = -k**2 + 7*k + 12. Let h be