 a be (-4)/(0 + s) + (-2292)/(-52). Let z = a + -48. Calculate the common denominator of -76/9 and z.
117
Let o(t) = 5*t**2 + 23*t + 4. Suppose 85 = -19*a - 10. Suppose 0 = d - 7 - 3. Calculate the smallest common multiple of d and o(a).
70
Let n(r) = 5*r - 2. Suppose 0*k = 4*k - 3*h - 162, -h = k - 37. Suppose -k*q - 90 = -44*q. Calculate the lowest common multiple of n(2) and q.
72
Let d = 313 - 199. Let j = -111 + d. Let u(n) = 29*n. Calculate the lowest common multiple of u(1) and j.
87
Suppose -2*a = -i - 3, -3*i - 9 = -4*i - 4*a. Calculate the smallest common multiple of i - ((12 - 6) + -6) and 38.
38
Calculate the smallest common multiple of (6156/(-48)*(-68)/(-255))/(3/(-10)) and ((-2)/4)/((-2)/56).
798
Let p be ((-2)/16)/(253/346909). Let k = p + 1888/11. Find the common denominator of k and -61/48.
528
Let m(q) = 3*q**3 - 3*q**2 - 8. Let p be m(-4). Let g = p + 249. What is the least common multiple of 140 and g?
140
Let m(s) = -s**2 - 3*s + 3. Let k be m(-3). Suppose 3*f - k*v = 8*f + 192, -5*v = -2*f - 52. Calculate the common denominator of 99/10 and 319/208 + f/(-234).
80
Let k be 7 + 7/((-21)/15). Suppose 0 = -3*b + k*p + 160, -14 = -3*p - 2. Find the common denominator of (11/110)/(b/830) and 41/2.
56
Let x = -380160 - -1272015371/3346. Calculate the common denominator of x and 21/10.
16730
Suppose 6*v - 5*v - 3 = 0. Suppose -2*o = -v*o + 2. Let u(t) = -t**2 - 7*t + 474. Calculate the lowest common multiple of o and u(-25).
24
Let h = -342 + 653. Suppose 150 = h*f - 301*f. Calculate the lowest common multiple of 12 and f.
60
Suppose 4*o = 0, -4*f - 4*o = -o - 28. What is the common denominator of -173/252 and ((-7)/(-10))/(f/(-63))?
1260
Let b = 6689/44 + -593/4. Let x = 252295/701274 + -2/1981. Find the common denominator of b and x.
3894
Suppose -4*z + 9 = -z. Suppose p = -z*n + 14, 2*n - 4*p = -5*p + 11. Calculate the smallest common multiple of 2*3*(5 + (n - 7)) and 25.
150
Suppose 12*d + 1219 - 3219 = -38*d. Find the common denominator of d and -23/1910.
1910
Suppose 4*s = 2*w - 3640, -5*w - 5*s = -0*s - 9190. Calculate the lowest common multiple of w and 12.
5496
Suppose -3*u = -6*u - c + 17882, -5*u = -3*c - 29794. Let f = u - 59521/10. What is the common denominator of f and -45/116?
580
Let v = -53755 - -27737527/516. What is the common denominator of v and -133/18?
1548
Let i = 945809/1424220 - -2/10173. Calculate the common denominator of -23/48 and i.
1680
Let l be ((-3)/(-2))/(1 + (-2)/8). Suppose -2 = 2*u - 4*i, -5*i = 3*u - l - 28. Suppose 0 = u*m - 46 - 9. What is the smallest common multiple of 5 and m?
55
Let k be 119*28/483*-2897. Let u = k + 19984. Find the common denominator of u and 71/6.
138
Let q = 64/33 - -1/33. Let h = 317014 - 14265607/45. What is the common denominator of h and q?
495
Let p be (17/3)/((-2)/6) - -3. Suppose 0*b = -3*b + 18. What is the lowest common multiple of -4 + (-3 - p - 5) and b?
6
Suppose 3*c + 24*c = 2970. Calculate the least common multiple of c and 275.
550
Suppose k - 35 = -5*l, 0 = 5*k - 31*l + 35*l - 70. Suppose 63 = 3*z - 123. Calculate the lowest common multiple of z and k.
310
Let d = -3996 + 4016. Calculate the least common multiple of 4826 and d.
48260
Suppose 2*l - 12 - 2 = 0, 0 = 2*m - 3*l - 215. What is the least common multiple of 382 and m?
22538
Let m be (328/32 + -7)/((-2)/(-4504)). Let t = m + -44053/6. Calculate the common denominator of t and -14/207.
414
Let l = 1796540/142233 - 1150/91. What is the common denominator of l and -67/9?
4689
Let z = -2087 + 2112. Calculate the least common multiple of z and 19.
475
Suppose -4*u + 4*q = -76, -21 = -4*u - 3*q + 20. Let x = 64742/33 - 11795/6. Find the common denominator of x and ((-606)/u*(-28)/8)/27.
198
Let x = -11324987/12411120 + -2/155139. Find the common denominator of x and -33/1880.
3760
Let c be 10 - (2/1 - (12 + -16)). Suppose -752 = -4*m - s, -15*s = -c*m - 14*s + 744. What is the smallest common multiple of 3 and m?
561
Suppose 18*w - 73 = 143. Let m(v) = 9*v**2 - 4*v - 1. Let f be m(1). Suppose 295 + 1 = f*y. Calculate the least common multiple of w and y.
444
Let t(d) be the third derivative of 2*d**6/15 + d**4/8 - d**3/6 + 12*d**2 + 3. What is the smallest common multiple of t(1) and (0 - -1 - -3)*5?
180
Let p(d) = -6*d - 52. Let m be p(-14). Let n = m - 28. Suppose 0 = -5*s - 3*g + 132, -n*g - g = -5*s + 100. What is the smallest common multiple of 9 and s?
72
Let u = -1788882 - -16075018/9. Let x = u + 2773. Let l = -4/805 + 15367/14490. Calculate the common denominator of x and l.
18
Let c be (((-2357688)/20)/3)/(-4). Let p = -9832 + c. Calculate the common denominator of ((-6)/(-99))/(8/444) and p.
110
Let o = -23997/1190 - -858/85. Let f = o + 67/7. Find the common denominator of -35/107 and f.
214
Suppose -477 + 497 = z. Calculate the common denominator of 41/2 and ((-8)/z + 0)/(12/(-745)).
6
Let y = -3181 - -105016/33. Find the common denominator of 16/583 and y.
1749
Let h = -444 - -452. Calculate the least common multiple of 74 and h.
296
Let j(o) = -o**3 - 8*o**2 - 13*o - 8. Let f be 3/(-21) - (-4 + 345/35). Let s be j(f). What is the smallest common multiple of 27 and (-425)/(-34) - s/(-4)?
108
Suppose 0 = -6*x + 48 - 126. Let j be 2*6*x/(-4). Find the common denominator of 91/2 and -3*(-8)/(-684)*j/4.
38
Let m be (-85541521)/21385416 + -1 + 5. Let y = m - -290527742/49556589. Let k = y + 3/241. Find the common denominator of k and -53/2.
8
Suppose v + 8 = 1. Let z(y) be the third derivative of -y**5/30 - 17*y**4/24 - 2*y**3 + 87*y**2. What is the least common multiple of z(v) and 8?
72
Suppose -192*n + 196*n = 3480. What is the smallest common multiple of 290 and n?
870
Suppose -80*a - 30 = -83*a. Suppose -2*m - 2*t - a = 3*t, m - 8 = 4*t. Calculate the common denominator of -53/4 and 61/10 + m/(-5).
20
Calculate the least common multiple of 30 and 4*(-3)/30 + (-18048)/(-120).
150
Calculate the smallest common multiple of ((-58)/4)/(3/15)*(-708)/118 and 30.
870
What is the least common multiple of 444/(-8)*(6/2 - (-119)/(-21)) and 1736?
64232
Let j = -16/233 - 9041/7456. Suppose -18*v = -41*v - 401442. Let t = v + 418837/24. Calculate the common denominator of j and t.
96
Let y(b) = b**2 + 39*b + 388. What is the lowest common multiple of y(-21) and 1612?
8060
Let j(u) = -7*u + 40. Let t be j(6). Let v(c) = c**3 - 3*c - 6. Let x be v(t). What is the least common multiple of 3 and (14/x - -2) + (-105)/(-12)?
9
Suppose -h + 0*h + 5*o - 6 = 0, 0 = h - 4*o + 2. What is the lowest common multiple of h and 21/(-63) - (-770)/6?
896
Suppose v - 1 = -4*i, 0*i - i - 8 = 3*v. Suppose 7*d - 2*d = -70. What is the least common multiple of i and (2 + 0)*(-7)/d?
1
Let b be 1*-4 + 90 + -10. Calculate the least common multiple of -2 + -2 - b/(-9 - -5) and 3.
15
Let r = -1885583/52 + 36260. Calculate the common denominator of r and 121/6.
156
Find the common denominator of (164/(-212))/((1/((-1)/(-6)))/2) and -49/75.
3975
Let v = -2379/11 + 175199/814. Calculate the common denominator of (137/(-8))/(36/24) and v.
444
Let g be ((-670485)/(-50))/((-84)/(-58)). Let w = g - 9259. What is the common denominator of w and 85/6?
420
Suppose o + 14 + 30 = 2*d, 0 = -3*o - 4*d - 182. Let h = o + 53. Let q(z) = -17*z - 7. Calculate the lowest common multiple of q(h) and 8.
40
Let j(f) = f**2 - 20*f + 26. Let r be j(19). Suppose -4*c + 8 = 3*l, -3*l + 4 = c - r. What is the least common multiple of (33 + -1)/2 - 2 and l?
28
Let q(p) = 48*p**3 + 2*p**2 - 2*p + 1. Let v be q(1). Suppose -385 = -341*w + 334*w. Let h = w - v. Calculate the smallest common multiple of h and 6.
6
Suppose -y + 11*y = -10. Let h = 860 + -6893/8. What is the common denominator of (y + -173)*(1 - 21/24) and h?
8
Let g = -1854 - -1863. Let t be (147/42)/(2/(-4)). Calculate the least common multiple of g and t/((-7)/2) - -45.
423
Let r = -4115/18 + 229. What is the common denominator of 710/(-312) + 4 + (-10 - -9) and r?
468
Suppose 2*k - 1620 = -3*k. What is the least common multiple of 5 and (-24)/k + (-872)/(-108)?
40
Let l = 74530 + -3279223/44. Let o = -9424 - -603183/64. What is the common denominator of o and l?
704
Let c = 178834/9 - 20021. Let w = c + 20879/144. What is the common denominator of ((-1)/(-11))/(8/(-100)) and w?
176