f (-19910)/l - (-5)/((-45)/(-2)) and -49/104.
208
Calculate the smallest common multiple of (-47 - 1)*3/(-4) and (-2)/((-2)/11 + (-1 - 3568/(-3168))).
36
Let a(m) = 5*m + 39. Let z be a(-9). Calculate the smallest common multiple of z/(-8) + 528/64 and 91.
819
Let l = -28526383/182 - -156739. What is the common denominator of l and 35/962?
6734
Let v be -2*(43/(-2) - -4). Let i = 2/7065 - 289777/395640. Calculate the common denominator of i and 13/(-1)*(84/v + -2).
280
Suppose 4*u + 5*w + 57 = 0, -9 = u + w + 4. What is the lowest common multiple of 44 and (22/u)/((-50)/24 - -2)?
132
Let z = -1608 - -1612. Calculate the least common multiple of 3860 and z.
3860
Let m(t) = 4*t**2 - 92*t + 287. Suppose -5*c + 5*w = -0*c + 15, -c = -2*w. Calculate the least common multiple of m(3) and 40/6*(-9)/c.
470
Suppose -11*j = 2*j - 3078 - 7712. Calculate the least common multiple of j and 581.
5810
Suppose -33*p + 37*p - 3136 = 0. Let g = p + -39193/50. What is the common denominator of (2/(-24))/(45/(-444)) and g?
450
Let z(b) = 7*b**3 + b**2 + 2*b - 2. Suppose 36*n - 32*n - 12 = -4*f, 2*n + 4*f - 10 = 0. What is the least common multiple of (-1*(7 - 1))/(-1) and z(n)?
24
Calculate the least common multiple of 106980/28 - 531/(-413) and 8.
15288
Calculate the lowest common multiple of 825 and 1 + -4*(-4)/((-72)/(-1233)).
825
Calculate the least common multiple of 84 and (-20 + 7)/(-39)*231.
924
Let z = 1115/10152 + -3/376. What is the common denominator of z and ((-27)/(-12) - 2)/((-15)/1520)?
108
Calculate the common denominator of (-238)/(19/((-209)/132)) and (-86)/(-6) + -2 - -3.
6
Suppose 3*g - 34128 = -m + 344848, -4*g = m - 505300. Let c = 14906143/118 - g. Find the common denominator of c and -43/22.
1298
Let h be (-11)/22 - 12836579248942/(-2364864990852). Let f = -1/89946181 - h. Let m = f - 1/1878. Find the common denominator of m and 63/2.
14
What is the common denominator of 6*3/171 - (74025/33858)/7 and -47/18?
198
Let p be ((-982)/6)/((-1400)/(-246708)). Let t = -28840 - p. What is the common denominator of t and -37/10?
50
Let k be 3*(-3)/9 - (-9114)/9112. Let c = 2943163/59228 + k. Let p = 5623/104 - c. Find the common denominator of 77/4 and p.
8
Suppose -7364 = -13*d - 1904. Calculate the least common multiple of d and 280.
840
What is the lowest common multiple of 430 and (20/7)/((-28)/8526*-29)?
1290
Let s = 308 - 811. Let r = -2099/4 - s. Calculate the common denominator of -68/273 and r.
1092
Let d be -3 + 20/3 + (-2)/(-6). Suppose 3*r + 3 = 0, 0*w + 5 = d*w + 3*r. Calculate the least common multiple of ((-147)/(-12) - w) + (-9)/36 and 6.
30
Let c(g) = 106*g**2 + 8*g - 1. Let q be c(-1). Let x = q + -1074/11. Calculate the common denominator of ((-50)/(-26))/(-6 + 3) and x.
429
Let a(b) = -16*b - 5. Let q be a(-15). Let j = 253 - q. Calculate the lowest common multiple of 54 and j.
54
Let w = 67618/77 - 6128/7. What is the common denominator of 80/57 and w?
627
What is the least common multiple of (29/174)/(2/36) - (-39 - 3) and 1510?
13590
Let o = 12233/5372544 + 1/6528. Let w be ((-11510)/(-2469))/2 + 2. Let r = o + w. Calculate the common denominator of r and 149/18.
18
Let z(h) = 3*h**2 + 37*h - 55. Let b(f) = 4*f**2 + 38*f - 58. Let o(w) = 6*b(w) - 7*z(w). What is the smallest common multiple of 54 and o(10)?
54
Let j(n) = n**2 + 4*n - 3. Let v(q) = -3*q + 20. Suppose -w - 19 + 13 = -4*d, 3*d + 9 = 3*w. What is the lowest common multiple of j(-5) and v(w)?
2
Let s = 3443 - 330563/96. What is the common denominator of s and 79/10?
480
Let f = -156 + 162. What is the smallest common multiple of (((-3)/1)/f)/(5/(-260)) and 42?
546
Let u be 142 + (2 - 8/(-4)). Suppose 5*k - u - 174 = 0. Let y(h) = -62*h + 694. Calculate the least common multiple of k and y(11).
192
Let w be 2/(-1) - (-2)/(-4)*2. Let g be 0 - 456/(-1359) - w/(-9). Let c = 8165/4983 - g. Calculate the common denominator of c and -2/3.
33
Suppose 17*j = -12 + 437. Suppose -2*d + 115 = 5*s - 7*d, 0 = 5*d + j. Calculate the lowest common multiple of 18 and s.
18
Let f = 458/13 + -5110/117. Let k be (-899866)/165 - (0 + -2). Let r = -5457 - k. What is the common denominator of f and r?
45
Let w = -2 + 12. Let z = w - -6. Let u(c) = -1697*c - 3390. What is the least common multiple of z and u(-2)?
16
Let k = 107 + -91. Let h(y) = -3*y - 8*y + k*y - 16. Calculate the least common multiple of h(4) and 76.
76
Let s be (-3)/(-2)*(4 - 64/12). Find the common denominator of ((-2)/(-12))/(8/(-159)) and 3731/(-468) + s/8.
144
Let m be 1 + (-8 - -1) - (59 + -122). What is the common denominator of 131/24 and (-346)/(-144) + m/(-513)?
24
Let u = 162 - 192. What is the smallest common multiple of ((-54)/10)/(1/u) and 4?
324
Suppose 2*c + 1 = 3. Calculate the lowest common multiple of 8 and 8/3*c/((-1)/(-12)).
32
Let f(b) = -b**2 - 3*b + 69. Let a be f(-9). What is the least common multiple of 4*(-2)/((-8)/a) and 51?
255
Let q = -7246 - -978194/135. Calculate the common denominator of 1/60 and q.
540
Suppose -11*d + 72 = -115. Let n = d - 15. What is the common denominator of (-201)/(-153) + (4/3 - n) and -45/2?
34
Let b = 5980067/819240642 - 2/459731. Find the common denominator of b and 43/567.
12474
Let c(q) = -q - 2. Let b(x) = -1. Let w(p) = 6*b(p) - c(p). Suppose -3*h = -0*h - 21. What is the least common multiple of 38 and w(h)?
114
Suppose -4*n - 90*h = -92*h - 164, -5*h = -3*n + 130. Calculate the smallest common multiple of n and 2*-3*(-60)/9.
40
Let u(z) be the first derivative of z**4/4 + 11*z**3/3 + 5*z**2 + 2*z + 2. Let v be u(-10). What is the common denominator of 99/8 and ((-122)/(-20))/(3 - v)?
40
Suppose 2*y = 5*f + 575, y + 348*f - 301 = 349*f. What is the least common multiple of y and 62?
310
Let y = 2467/3 - 838. Let o = 152763/2 - 58202593/762. Calculate the common denominator of o and y.
381
Suppose 25 = 3*n + 3*j - 2, 2*n + 10 = 5*j. Let d = -31 + 21. Let p = 16 + d. What is the least common multiple of n and p?
30
Let g = 78 - -174. Suppose -g - 63 = -x. Calculate the lowest common multiple of x and 6.
630
Calculate the lowest common multiple of 319 and ((-127008)/(-182) - 2) + (-10)/(-65).
7656
Suppose -u - 168 = -841*c + 838*c, -2*c + 119 = -3*u. What is the smallest common multiple of 215 and c?
2365
Let w = -51750 + 51768. Let i = -52 + 74. What is the least common multiple of i and w?
198
Let k = -613 + 1263/2. Let u = k - 68/5. Calculate the common denominator of u and 20/72*(-1292)/170.
90
Let x = 52002 - 51986. Calculate the smallest common multiple of x and (273/(-12))/7*-4.
208
Let n = -5 + 23. Let a = n + -9. Let m(g) = 34*g - 1. What is the smallest common multiple of m(1) and a?
99
Suppose -125*r = -123*r + 58. Let j = r - -34. Calculate the least common multiple of 1 and j.
5
Let h(f) = 5*f - 13. Suppose -8*w = -6*w - 18. Let c(j) = -j + 3. Let n(b) = w*c(b) + 2*h(b). What is the smallest common multiple of n(2) and 7?
21
Let d = 48247/528500 - -3/4228. Let p = -537/110 + 13/11. What is the common denominator of d and p?
250
Let h = 1273 + -10133/8. Suppose -2*z + 6*z - 3*k = -28, 0 = -4*z + 2*k - 32. Find the common denominator of h and z/(-9)*((-596)/(-64) - 8).
24
Let j be ((-40)/(-120))/((-1)/(-948)). Let y = 333 - j. What is the least common multiple of y and 31?
527
Let k(h) = h**2 + 10*h + 498. Let j be k(0). Calculate the common denominator of 1/3 and 1/1 + (-1758)/j + 3.
249
Let k be (-3 - (-15)/10)*-20. Calculate the common denominator of (-8)/k*120/(-10) and 29/5.
5
Let r = -670348/209 - -445/627. Let c = 3205 + r. Find the common denominator of c and -85/12.
132
Let c = -200 - -140. What is the smallest common multiple of (-9)/(-2) + 6/4 and 44*(c/8)/(-15)?
66
Let u = -240598/45 + 5346. What is the common denominator of (32/(-5))/(22/(-4)) and u?
495
Suppose -5*i - 22*f + 24*f = 45, 0 = -4*i - 2*f - 36. Suppose -3*b + b = 42. What is the common denominator of 11/18 and i/(-6)*109/b?
126
Suppose 4*l - 106 = 4*i + 2*l, -i - 2*l - 39 = 0. Let k = i + 22. What is the common denominator of k/((-420)/9)*(-1150)/(-36) and 109/24?
24
Calculate the common denominator of 65/2166 and ((510/20)/(-17))/(18/298).
2166
Let b be (-496)/144 - 8/(-18). What is the common denominator of (0 - (-222)/21)/b and -11/27?
189
Let s(n) = -n**3 - 30*n**