t j be (3*2)/(3/(-3)). Let a = j - -15. Suppose -4*g + 5*h + 19 = 0, -3*g - 208*h = -206*h - 20. Calculate the smallest common multiple of a and g.
18
Calculate the smallest common multiple of (40 - 13) + 15 + (7 - -1) and 5.
50
Suppose 6757 = 414*k + 2617. What is the lowest common multiple of k and 5834?
29170
What is the least common multiple of 750 and (-10)/5 + ((-514)/(-6) - (-11)/33)?
10500
Let v = 200 + -240. Let z = 79/17 - -1049/34. What is the common denominator of (-4)/(-8) + 2*2/v and z?
10
Suppose -416 + 348 = -4*t. Let z = 22 - 16. Calculate the lowest common multiple of t and z.
102
Let r = 13 + -7. Let n = -707 - -711. Calculate the least common multiple of r and n.
12
Suppose -7*x - 4*r = -2*x - 516, r + 417 = 4*x. What is the smallest common multiple of x and (3 + 0)/(11 + -10) - -37?
520
Suppose 3*x + f = 2 + 4, -3 = x + 2*f. What is the least common multiple of (-12)/8*-1*76/3 and x?
114
Let b be 3 + -5 + -1*(-271124)/85272. Let r = b + 358/323. Find the common denominator of r and 81/10.
330
Let c = -51614 - -51626. Suppose -w + 38 = 4*v - 0*v, w + 3*v - 39 = 0. What is the least common multiple of w and c?
84
Suppose -s + 39 - 13 = 0. Suppose 16 = 6*w - 68. Suppose -104 - 8 = -w*z. What is the least common multiple of s and z?
104
Let k = 2912 + -2884. Suppose -x = -6 - 10. What is the lowest common multiple of x and k?
112
Let d = -70569 - -70596. What is the least common multiple of (4 - -1)/(2/18) and d?
135
Suppose w = 2*v - 35, 2*w + 7*v - 3*v = -30. Find the common denominator of 107/50 and 6/15 - w/(-150).
150
Suppose 2*l = -2*s + 94, 20 = -2*l + 6*l. Suppose 0 = 28*c + 324 + 460. Let y = c + s. What is the smallest common multiple of y and 6?
42
Let c = -14044 - -14355. What is the lowest common multiple of 10 and c?
3110
Suppose 8 = -3*x - 5*f + 58, 4*x - 56 = -4*f. Let b be ((-15)/x)/(1/(-32)). Suppose -w + b = -16. Calculate the least common multiple of 16 and w.
64
Let o = 31235/12 - 2605. What is the common denominator of -29/28 and o?
84
Suppose -12*n = -3 - 21. Suppose j - n*v = -31, -v - 4*v = -2*j - 60. Calculate the common denominator of 35/27 and (-238)/j*(-1)/3.
135
Suppose 0*t + 2*t - 6 = 0. Suppose 0 = -2*p - 4, p = 322*l - 326*l + 466. Calculate the lowest common multiple of t and l.
117
Let t(x) = 17*x**2 - 27*x + 258. Calculate the least common multiple of 22 and t(12).
26202
What is the smallest common multiple of 111 and (10 - 0) + 340 + -347?
111
Let l = 153 - 109. Suppose -a - l = -4*j + 8, j = -a + 18. Calculate the smallest common multiple of 138 and j.
966
Let o = -2453 + 2803. Calculate the smallest common multiple of o and 550.
3850
What is the common denominator of (46/(-15))/((90/(-75))/(-2)) and 67/234?
234
Let x = 1470 + -1474. Let c(r) be the third derivative of r**4/6 + 3*r**3 + 2*r**2. What is the smallest common multiple of 22 and c(x)?
22
Calculate the common denominator of -13/10 and (-1313)/(-220180)*((-4)/9)/(12/234).
3270
Let j(x) = -x**2 - 588*x - 10795. Calculate the least common multiple of j(-19) and -1 - (-51 - (-3 + 1)).
48
Suppose 0 = 1209*q - 1213*q + 168. Suppose -j = 2*j - 126. What is the least common multiple of q and j?
42
Let v be (16 + 1)*(-3)/(-1). Calculate the common denominator of 19/15 - (-4)/10 and (v/(-34))/(18/58).
6
What is the common denominator of (-31)/(-21)*186/155 and -91/855?
5985
Let i = 3463 - 3400. Calculate the least common multiple of i and 255.
5355
Let z be 8415/594 + 1*(-1)/6. Suppose z*v - 2500 = 146. Calculate the smallest common multiple of 15 and v.
945
Let o = 15 - 13. Suppose -h + 10 = n, -4*h + 44 = 5*n - 0*n. Suppose 6*g = g, -g = m - h. Calculate the least common multiple of o and m.
6
Let o = -27593501/270 - -102198. Calculate the common denominator of o and 67/225.
1350
Suppose 4*m = 3*u + 39, 4*m + u - 19 = -0*m. Let k(s) = -s + 7. Let r be k(m). Calculate the common denominator of -67/4 and (r - (-277)/8)/((-18)/(-24)).
4
Let c be 426/(-1440) + (-1)/(-1 - 1). Let v = c - -2807/240. What is the common denominator of 4/16 + (-194)/136 and v?
170
Calculate the common denominator of -27/32 and 2/(-13) - (-2176664)/18945888.
31008
Let v(p) = -6*p + 17. Let z(y) = 17*y - 51. Let s(u) = -8*v(u) - 3*z(u). Calculate the smallest common multiple of s(3) and 8.
8
Let m be (-1 + -6 - (-21 - -23))*-3. Let v(h) = -2*h**2 + 58*h - 31. What is the smallest common multiple of v(m) and 35?
385
Calculate the common denominator of -89/1478 and 6/(-45) - (-38 + 42 + (-181)/(-330)).
16258
Let r = -86 + 122. Let d(f) = -f**2 + 21*f - 50. Calculate the smallest common multiple of r and d(17).
36
Let k = -3/1924 + -16267/55796. Find the common denominator of k and 3*151*((-133)/266 + (-12)/(-27)).
174
Suppose 0 = 10*s + 58*s + 1292. Let n = 32 + -53. Let k = s - n. What is the lowest common multiple of 8 and k?
8
Let t = 2725 - 2721. What is the lowest common multiple of t and 44?
44
Calculate the least common multiple of (-6 - (-50)/15)*9*(0 + -14) and 267.
29904
Calculate the common denominator of (-215146)/(-14784) - (-30)/(-21) - 13 and -151/54.
9504
Let j = -41 - -173. Suppose -12*v - j = -444. What is the lowest common multiple of v and 14?
182
Suppose -5*t = 3*z + 5, -4*t = -4*z - 9 - 19. Suppose -35*y + 38*y = -2*g - 7, -4*y = -12. Calculate the common denominator of -41/18 and (-2)/(g/t)*30/(-66).
198
Calculate the common denominator of 1/10 and 7/((-7)/6) - 339976/(-59280).
570
Let l(i) = 44 - 24 - 10*i - 18. Let q be l(-5). Let u = q + -32. Calculate the smallest common multiple of 4 and u.
20
Suppose -5*s - l = -110, 5*l = s + 2*s - 66. Let t(n) = -11*n + 100. Let c be t(9). Calculate the least common multiple of s and ((-4)/14)/(c + 50/(-49)).
154
Let z = -205 - -253. Suppose 1567*l - 1573*l + z = 0. What is the smallest common multiple of 1686 and l?
6744
Suppose 9*b + b = 200. Suppose 24*n - 36 = b*n. Let g = 53 - 45. Calculate the lowest common multiple of g and n.
72
Let i be (-2 - 63/14)*(-8)/26. Suppose 0 = i*d - 2*q - 86, -71*d + 5*q - 105 = -74*d. Calculate the least common multiple of d and 24.
120
Let d = -11311/2 - -5634. Find the common denominator of (-322)/120 + 3/9 and d.
20
Let j = 15 - 5. Let w(b) be the second derivative of b**5/20 - b**4/2 + 3*b**3/2 + 2*b**2 - 8*b + 8. What is the smallest common multiple of j and w(4)?
40
Let h = -2625515/721 - -25490/7. Find the common denominator of 79/6798 and h.
47586
Let f(k) = 6*k. Suppose 7*x + 3*w = 3*x + 42, 12 = 3*x + 12*w. What is the least common multiple of x and f(2)?
12
Suppose 6*w = 26 + 364. Let h = -18 - w. Let v = -37 - h. What is the smallest common multiple of v and 10?
230
Let m be (-62)/(-10) + (-9)/45. Find the common denominator of m/(-27) + 368/192 and 31/27.
108
Let m = 64 + -72. Let g(q) = -10 + 2*q + 12 + 3 + 17. What is the lowest common multiple of 6 and g(m)?
6
Suppose 0 = y - 23 + 22, 5*p + 4*y = 244. Calculate the least common multiple of 216 and p.
432
Suppose 3*v - 5*q - 663 = 0, 0 = v - 255*q + 256*q - 213. What is the smallest common multiple of v and 1008?
3024
Let h = 135 + -122. Let p(v) = -v**2 + 14*v + 22. Let k be p(h). Calculate the common denominator of (-10)/k - (-1683)/(-210) and 5/106.
530
Calculate the lowest common multiple of 7 and -7 + (-2 - (-81 + -15)).
609
Let r(a) = a**2 - 30*a - 25. Let z be r(35). What is the common denominator of 201/(-33)*(-2)/(-4) and 1 - 3 - (-1055)/z?
330
Let k = 4249 - 4221. What is the lowest common multiple of 88 and k?
616
What is the smallest common multiple of 792 and ((-30)/(-10))/((-8071)/(-8064) - 1)?
38016
Let t = -7866 - -7882. What is the lowest common multiple of 4344 and t?
8688
Let d(s) = 3*s**2 - 3*s - 1. Let w(z) = 2*z**2 - 2*z - 1. Let r(h) = 4*d(h) - 5*w(h). What is the least common multiple of 165*236/5841 + (-4)/6 and r(1)?
6
What is the common denominator of (-99687)/(-25060) + -6 + 2 and 103/7876?
39380
Let b(u) = 35*u**2 - 4*u - 8. Let x = 88 + -90. Let j be b(x). What is the lowest common multiple of 8 and 2/5*j/14?
8
Let l = 35 - 23. Let i = -36 + 38. Suppose i*k - 6 = 0, v - 6*v + 4*k = -23. Calculate the least common multiple of l and v.
84
Calculate the common denominator of 131/1452 and (-15)/(-440)*(-2)/(-33)*(1 - 47).
1452
Let r be (-160)/((-28)/(-240)*-3). Let p = -