and d.
252
Let b(a) = 8*a - 4. Let c be 3 + 2 + (-3)/1. Suppose u = -0*u + 22. Calculate the least common multiple of u and b(c).
132
Suppose 0 = 3*h - 58 + 16. Let k be (-68)/(-28) + (-6)/h. Suppose 4*g + 5*s - 38 = 3*s, k*g + 3*s = 13. What is the smallest common multiple of g and 9?
99
Let o(d) be the third derivative of d**6/120 - d**5/6 - d**4/24 + 3*d**3 + 4*d**2. What is the least common multiple of o(10) and 9?
72
Let v = 1/1453 + -81379/15983. Find the common denominator of v and (-982)/(-40) + (-3)/(-15).
44
Calculate the common denominator of (-15)/8 + -2 + 2 and -11 + ((-16895)/(-820) - 9).
328
Suppose 4*w + w = 3*j + 292, -w + 76 = -5*j. Calculate the smallest common multiple of 128 and w.
896
Suppose 4*w - n = 8*w - 10, 3*w + 1 = -5*n. Suppose -3*t - 12 = w*f, -5*f - 8 = -5*t + 4*t. Let m = t - -7. What is the least common multiple of m and 3?
15
Find the common denominator of 48/384 + (-86)/(-336) and 26/133.
399
What is the common denominator of 36/(-424)*(-6)/15 and -17/55?
2915
Let o = -15 + 20. Suppose 4*y = g + 145, -y - y = 2*g - 60. What is the common denominator of 0 + (-2)/o + 2443/70 and y?
2
Suppose 322 = 5*g - 3643. Suppose -3*c - 250 = -g. Suppose -n + c = -4*v, 3*n - 6*n = 4*v + 161. Calculate the common denominator of v and -61/2.
2
Suppose 5*s + 3*u + 10 = 8*u, 0 = -5*u + 15. Calculate the least common multiple of s and 545.
545
What is the common denominator of 109/6 and 2/4*(820/(-165) - -5)?
66
Suppose -4*n + 40 = 4*q, n + 10 = q - n. Let d = 2227/2 + -1144. Calculate the common denominator of -2 + 2 + -3 + 44/q and d.
10
Suppose 38*o = 43*o - 25. Suppose -4 = 4*f, -4*f + 74 = o*x - 8*f. What is the smallest common multiple of 4/1 + 4 + -2 and x?
42
Let j be ((-3)/6)/((-8)/16). Suppose 11 - j = p. Calculate the smallest common multiple of p and 78.
390
Let z = -350 - -389. Calculate the least common multiple of 14 and z.
546
What is the smallest common multiple of (19 - -14)/(-6*4/(-64)) and 48?
528
Suppose 0 = -2*r + 2*t, -r = -2*t + 1 - 0. What is the common denominator of 146/32 + 0 + -1 and (2 - r)/(-8)*726/(-9)?
48
Let b = -112 - -122. Suppose 0*m = m - 10. What is the lowest common multiple of b and m?
10
Let v = -750 + 814. Calculate the smallest common multiple of 22 and v.
704
Let l = -30 - 51. Let w = l - -99. Calculate the least common multiple of w and 14.
126
Let x = 6 - 4. Suppose b - 3*b = 2*l - 16, 2*b + 4*l = 24. Suppose -2 = b*y - 30. What is the smallest common multiple of y and x?
14
Let z be ((-10)/4)/((-2)/(-4)). Let i(y) = y**3 + 6*y**2 + 4*y - 1. What is the lowest common multiple of 22 and i(z)?
44
Let j = 2 - 3. Let a be 5/((-5)/2)*j. Suppose z + 3*z - 24 = -2*x, 4*x = -a*z + 78. Calculate the smallest common multiple of x and 4.
44
Let z = 900 + -7167/8. Let o = -400286331/30485 + 65653/5. Let l = -310955/24388 + o. What is the common denominator of z and l?
8
Let k = 1411 - 1186. Calculate the smallest common multiple of 270 and k.
1350
Let d = -17 + 39. Let t = 15 - 9. What is the smallest common multiple of d and (66/22)/(t/16)?
88
What is the common denominator of (-401)/308 - (3 + (-198)/63) and -19/112?
1232
Suppose 2*p + 62 = 3*y, 25 + 33 = 3*y + 2*p. Suppose 4*k = 2*z - 44, 0 = 3*z + 2*k - 5*k - 51. Calculate the lowest common multiple of z and y.
60
What is the lowest common multiple of 8 and 3/((-15)/25)*144/(-20)?
72
Suppose 3*s = -47 + 74. Calculate the lowest common multiple of s and 27.
27
Suppose 10*u - 36 = -6. Let q(w) = 4*w + 10. What is the least common multiple of q(u) and 128?
1408
Let i(z) = -z**2 + 5*z - 4. Let m be i(5). What is the common denominator of 35/3 and 20/(-28) + 3 - m?
21
Suppose 4*i = -5*p + 160, i = -4*i + 2*p + 167. Calculate the common denominator of 62/3 and 276/i + 8/(-28) + 3.
15
Suppose 2*h - 3*d + 29 = 0, 24 = -2*h - 0*h + 2*d. What is the common denominator of 67/4 and 4/14 - ((-15407)/(-1617) + h)?
132
Let q(a) = 3*a**2 + 4*a. Let d be q(-3). Find the common denominator of 6/d + (-82)/(-10) and 10/(-48)*(28 + -1).
40
Suppose -4*k - 4 = 4*u, -5*u + 0 = -2*k - 2. Suppose u = 2*a + a + 6. What is the common denominator of (-29*(-3 - a))/(-2) and 71/10?
10
Let f = 6911/126 - 529/9. Let a be 8/12 + 64958/(-16344). Let t = -1/454 - a. Find the common denominator of t and f.
252
Let s = 36151/24 + -3023/2. Find the common denominator of s and 586/42 - 4/14.
24
Let o = -4 - -10. Suppose p + 53 = 5*r, -4*r + 21 + 28 = -3*p. What is the smallest common multiple of r and o?
30
Let h be ((-140)/(-6))/(6/9). Let b be (-5)/15 + 44/(-3). Let v = b + h. What is the smallest common multiple of 7 and v?
140
Find the common denominator of 10/1172*9130/550 and 43/2.
586
Let t = -23 + 28. Let h = t + -20. Let b = 23 + h. What is the lowest common multiple of 3 and b?
24
Calculate the least common multiple of 1572 and 9 + (3/(-12))/(1/(-4)).
7860
Let f be 3/(-6)*-8 - (-4 + 2). Suppose -8*v + 225 = -5*m - 3*v, 119 = -3*m - 5*v. Find the common denominator of ((-1251)/63)/(f/7) and m.
6
Let a(d) = 2*d**2 - 12*d - 286. Calculate the lowest common multiple of 264 and a(-11).
264
Suppose -s = -4*s + 66. Calculate the lowest common multiple of s/((-12)/3 + 6) and 10.
110
What is the common denominator of 139/280 and (-14208)/2100 + (-42)/(-6)?
1400
Let f(r) = 2*r - 5*r**2 + r**3 + 0*r**2 + 3*r - 7. Let j(v) = -2*v**3 - v**2 - v + 2. What is the lowest common multiple of j(-2) and f(5)?
144
Let y(t) = -t**3 - 11*t**2 - 2*t - 19. Suppose -z = 3*z - 4, c + 5*z - 8 = 0. Let k = 4 + c. What is the lowest common multiple of y(-11) and k?
21
Suppose 112 = 12*y + 4*y. Let s be (-24)/(-5) + (-4)/(-20). Let p = s - 3. What is the lowest common multiple of y and p?
14
Let p(n) = n**3 - 7*n**2 - 5*n + 8. Let j be p(8). Suppose 37*t - j*t - 40 = 0. Calculate the least common multiple of t and 6.
24
Let t be 2/(-2)*14 + (-5 - -5). Find the common denominator of ((-11)/6)/(4/(-18)) and t/28 + (-19)/16.
16
Let i(w) be the third derivative of 6*w**2 + 1/60*w**5 + 1/24*w**4 + 0*w + 0 + 0*w**3 - 1/120*w**6. What is the smallest common multiple of 5 and i(-1)?
5
Let z = -16568 - -530083/32. Find the common denominator of -35/116 and z.
928
Suppose -5*w + 3 = 18. Let n be 72/16*734/w. Let o = n - -4431/4. What is the common denominator of -51/4 and o?
4
Let r(i) = 14*i + 14. Suppose 3*k - 5*k = -40. What is the smallest common multiple of k and r(0)?
140
Let k(h) = h + 26. What is the smallest common multiple of k(4) and 30?
30
Let p be (-1 + -9)/((-24)/(-4390)). Let g = -1838 - p. What is the common denominator of g and -29/6?
6
Let g be 368932/18 - 1/(-2). Let h = g + -20505. What is the common denominator of (-5)/(-5) - (-33)/10 and h?
90
Let g = -12650 + 303701/24. Let q = 56/23 - -752/69. What is the common denominator of g and q?
24
Let x be -1 + (-2)/(8/(-12)). Suppose -4*c = 5*i - x*c + 16225, -c + 16240 = -5*i. Let q = 71419/22 + i. Find the common denominator of 23/34 and q.
374
Let k(j) = j**2 + 4*j + 5. Let b be (5/(-2))/((-1)/(-2)). Calculate the lowest common multiple of k(b) and 2.
10
Let a = 300/77 - 3/77. What is the common denominator of -34/11 and a?
77
Suppose 4*b - 8*m + 11*m - 464 = 0, 3*m = -2*b + 232. What is the lowest common multiple of 4 and b?
116
Suppose 2 + 13 = 5*t. Let q be 4/t*(-1)/(-840). Let w = q + -11761/630. What is the common denominator of w and 47/13?
39
Let g = -412924/19599 - -990/47. Let s = g - -9595/834. What is the common denominator of s and (-3)/4 - (-204)/(-16)?
2
Let x(f) = 2*f + 29. Suppose -2*v = 2*v - 44. Calculate the smallest common multiple of 12 and x(v).
204
Suppose 6*r - 5*r = -n + 10, 3*n + 42 = 3*r. Calculate the lowest common multiple of 9 and r.
36
Let r = 14580 - 8288. What is the smallest common multiple of r and 4?
6292
Let y = 183/7 + -733/28. What is the common denominator of y and 37/315?
1260
Suppose 2*q + 44 = 2*y - 12, 0 = 5*y - 4*q - 142. What is the smallest common multiple of y and 60?
60
Find the common denominator of -71/144 and (16/1008)/(12/(-1918)).
432
Suppose u + 103 = 217. Calculate the lowest common multiple of 2 and u.
114
Let u = 2331 + -6920/3. Let o = -427081/5 + 83027. Let d = 2398 + o. Calculate the common denominator of u and d.
15
Let s = 1305 + -15685/12. Calculate the common denominator 