7 - (-312)/(-54). Let f be r(c). Calculate the common denominator of 39/2 and (-91)/(-12) - (-8)/f.
12
Let n(i) = i**3 + 11*i**2 - 30*i - 52. Calculate the smallest common multiple of n(-12) and 738.
1476
Let v(f) = -5*f + 2. Let w be v(1). Let l(y) = -8*y**3 - 6*y**2 - 4*y + 2. Let k be l(w). Suppose k + 2 = q. What is the lowest common multiple of q and 22?
1958
Let l = 869849/57 + -15261. Find the common denominator of l and -70/57.
57
Let v = -87 - -90. Suppose 5*l + v*k = 6462, l - 829 = -2*k + 462. Let x = l - 7699/6. Calculate the common denominator of -37/12 and x.
12
Suppose -2*k - 660 + 166 = 0. Let s be ((-56218)/(-8))/((-65)/k). Let c = -26698 + s. Find the common denominator of c and 89/20.
20
Let m(f) = f**3 - 18*f**2 - 40*f + 4. Let j be m(20). What is the least common multiple of 32 and (2565/12)/15 + (-1)/j?
224
Let c be (-9)/(-24)*(-2)/((-18)/15). Let u = c - -255/8. Calculate the common denominator of u and -3/164.
164
Suppose -12636 = -259*u + 145*u - 210*u. Let p(l) = l**2 - 4. Calculate the lowest common multiple of u and p(4).
156
Let a(b) = 87*b - 726. Calculate the lowest common multiple of a(9) and 7.
399
Let c be (-280)/(-133) + 2/(-19). Find the common denominator of 79/12 and (33/72)/(100/52 - c).
24
Let q(k) = k + 84. Let t be q(13). What is the common denominator of t/(((-10)/15)/(1/3)) and -1 + 70/124 + 1?
62
Let h = -2683/8 + 6651/20. Suppose 5*v - 44 = c, 4*v = -235 + 259. Calculate the common denominator of c and h.
40
Let m(w) = 9 - w - 7 - 7. Let q be m(5). Let o(r) = r**2 + 8*r - 6. Calculate the lowest common multiple of 4 and o(q).
28
Let b = 104 - 193. Let y = -87 - b. What is the least common multiple of y and 12?
12
What is the common denominator of -55/3172 and (3/(-488))/(567/17262)?
9516
Suppose 3*r + 3*c - 4*c - 15 = 0, 5*r + 2*c - 36 = 0. What is the least common multiple of 93 and r?
186
Let f be (-6)/(-21) + 4/(-56)*4. Suppose f = -44*a + 38*a + 192. What is the least common multiple of a and 48?
96
Suppose -v + k = 2*v - 19, 41 = 5*v - 4*k. Suppose w = -3*h - 2 - 83, -v*h - 155 = -w. Calculate the common denominator of (44/h)/(36/195) and 37/18.
18
Suppose -20 = 414*s - 409*s. Suppose 8 = 2*d - 8. What is the smallest common multiple of 6*((-23)/(-6) + 2/s) and d?
40
Let s = 2528 + -2462. Calculate the smallest common multiple of 14 and s.
462
Let a be (((-54)/(-12))/(-3))/(3/(-6)). Suppose -4*y + a*t = -2*t - 30, 5*y = -5*t + 15. What is the lowest common multiple of y and 4?
20
Find the common denominator of -1 + -2 + 0 + 5 + 122/(-90) and -34/1845.
1845
Let q = 10845 + -10795. What is the least common multiple of 235 and q?
2350
Suppose -4*a = -3*a + 28. Suppose 4*j = -3*r + 52, 0 = 4*j + r + r - 48. What is the least common multiple of j and (a/(-35))/(2/5)?
10
Let s = -3952/127755 + 4/153. Let o = s + -30823/15030. What is the common denominator of -67/96 and o?
288
Let v = 790/19 - 12941/266. Let r = -567 + 3353/6. Find the common denominator of v and r.
42
Let o = -202333246837/665660380 - -920003/3028. Let z = o + -2/3997. Find the common denominator of z and -9/25.
275
Suppose -143*z - 8 = -73*z - 71*z. What is the smallest common multiple of 1204 and z?
2408
Let u(w) = 2*w**3 + 116*w**2 - 122*w + 99. Let c be u(-58). Let p be 5/24*(-344482)/10. Let v = p + c. What is the common denominator of v and 56/9?
72
Find the common denominator of 7/10 and ((-3)/(-2))/(-1 + 5 + 551).
370
Let g = 10/13161 + 600299/947592. Calculate the common denominator of 35/636 and g.
11448
Let m(z) = 2*z**3 - 24*z**2 + 124*z - 135. Let w = 417 + -297. What is the lowest common multiple of m(5) and w?
1080
Let f(k) = -k**3 + 3*k**2 + 18*k + 3. Let x be f(6). Let g(u) = u**2 - 10*u + 28. Suppose 0 = 5*b + 25 - 65. What is the smallest common multiple of g(x) and b?
56
Let t be 10794/9 + -5*2/(-15). Let v = t - -994. Let i = v + -21869/10. What is the common denominator of -49/2 and i?
10
Suppose -2*y + 43 = -17. Let j = 311 - 267. Suppose 5*f = 16 + j. What is the smallest common multiple of y and f?
60
Suppose 0 = 3*k + 14*k - 408. What is the common denominator of 87/40 and (-9)/k + 846/48?
40
Find the common denominator of -49/2271 and 60/(-48)*((0 - 6 - -1) + 6).
9084
Let y = -3470539/56 - -61976. Find the common denominator of y and 45/248.
1736
Suppose 3*m = 4*z + 38, -42*z + 43*z + 22 = 2*m. Calculate the smallest common multiple of 676 and m.
3380
Let g be 6/(-8) + (-316)/(-16). Suppose 4*m + m + 4*y - 28 = 0, 4*m - 26 = -2*y. Let j = g + m. Calculate the smallest common multiple of 27 and j.
27
Let u(b) = b**3 - 13*b**2 + 9*b + 10. Let t be u(12). Let v be -3 + t + 1 + 0. Find the common denominator of 137/12 and (54/v)/(9/15).
84
Suppose i = 708 + 118. Let w be 4 + -3 - -2*i. Let z = -26471/16 + w. Calculate the common denominator of -99/10 and z.
80
Suppose 9*k = 13*k - 104. What is the least common multiple of k/22 + (-2)/11 and 1 - 0/(-5 + 14 - 7)?
1
Calculate the common denominator of 968/99 + -10 - 37429/(-190260) and 103/3624.
18120
Let a(y) = y**2 - 7*y - 33. Let x be a(7). Let w = 261 + x. Calculate the least common multiple of 21 and w.
1596
Let n(k) = k**2 + k. Suppose -3*y + 18 = -9*y. Let m be n(y). What is the common denominator of (-16)/(24/m) + (-105)/(-4) and 26/25?
100
Let g = 7170 + -7154. Let s = 112 - 32. Calculate the least common multiple of s and g.
80
What is the smallest common multiple of (314*5/10 - 5) + (5 - 5) and 176?
3344
Let c be (12/9 - 1) + (-12766)/37752. Let f = 11049/484 - c. Find the common denominator of f and -5/69.
138
Let j = -2446 + 112507/46. Let u = 69489/4 + -13003. Let l = u - 4346. What is the common denominator of l and j?
92
Let n(z) = 100*z - 838. Calculate the least common multiple of n(10) and 162.
162
Let c be 270/7 + 6/(1 + -4). Let r = 14209/378 - c. What is the common denominator of 133/30 and r?
270
Let m = -121/13 + 1087/26. Let l be (-52323)/(-54)*(-22 + 20). Let q = 1935 + l. What is the common denominator of q and m?
18
Suppose -11580*g + 11576*g + 23896 = 0. What is the smallest common multiple of 206 and g?
5974
Let k be 15*(-4)/(-48)*-12. Let s(g) = 3*g + 41. Let a be s(k). Calculate the common denominator of a - 201/(-24)*-4 and -149/24.
24
Suppose 663 = 6*o - 261. Let k be (-333817)/o*1/(-1). Let u = -2169 + k. What is the common denominator of u and 11/10?
70
Suppose 2*c - 3*c - 3 = 0. Find the common denominator of ((-44)/16 - -4)/((-21)/2) and 255/36 - c/(-1).
84
Let k = -7049/3060 - 227/170. Find the common denominator of 89/6228 and k.
6228
Let n = -95330 + 16015549/168. What is the common denominator of 95/192 and n?
1344
Let q(d) = -2*d**2 - 56*d - 288. What is the least common multiple of q(-20) and 64/6*9/6?
32
Find the common denominator of -81/296 and 2585/376*4/(-50).
1480
Let n be (5 - 57/12)*(-131702)/6. Let z = n - -5493. What is the common denominator of z and 27?
12
Suppose g + 3*p + 11033 = 0, -p = 4*g + 3*p + 44140. Let j = 220779/20 + g. What is the common denominator of j and (-728)/(-72)*(-6)/4?
60
Let c = -23456387/192 - -122168. What is the common denominator of -95/512 and c?
1536
Suppose 0*c = 5*c - 40. Let o = 610902 - 610657. What is the lowest common multiple of o and c?
1960
Let k be 52086/495*18 + 12/20. Let d = -1898 + k. What is the common denominator of -38 and d?
11
Let m = 1323305533/3320 + -398586. Find the common denominator of 53/38 and m.
63080
Find the common denominator of 151/18 and (-30)/(-720)*(-2)/(-59)*117/2.
4248
Calculate the common denominator of ((-3)/(-12))/(2130/424 + -5) and 1 - (212/110 + 0).
55
Let d = 261 - -127. Find the common denominator of (d/(-48))/((-15)/(-6)) and ((11/105)/(-11))/((-8)/3260).
210
Let t be (148/111)/((-4)/6). Let g = 21 - 7. What is the least common multiple of g and (-3 - (t + -5)) + 4?
56
Let z(l) = -l**3 - 10*l**2 + 8*l - 24. Let a be (-4)/(48/4)*(-99)/(-3). What is the lowest common multiple of 3 and z(a)?
9
Suppose 0 = -24*u - 192*u + 12096. Calculate the smallest common multiple of u and 956.
13384
Let i(y) be the first derivative of y**2 + 111*y - 29. Calculate the smallest common multiple of 30 and i(-28).
330
Let t(d) = d + 3. Let k be t(-3). Let g be k/(4 + (0 - 3)). Suppose -6*q + 6 + 0 = g. Calculate the lowest common multiple of q and 10