 - 9. Let m be x(-9). Calculate the common denominator of (m/(-51))/(3/4) and g.
187
Let o = 81 - 69. Suppose 12*q - 17*q - 15 = 0, -4*y + 260 = 4*q. What is the least common multiple of y and o?
204
Let t = 437 + -357. What is the smallest common multiple of t and -4*1/(-2) - -2?
80
Suppose 0 = 51*a - 58*a + 119. Let q(g) = -13*g + 253. What is the lowest common multiple of 10 and q(a)?
160
What is the lowest common multiple of 240 and -21*40/112*-16?
240
Calculate the common denominator of 1600/(-5250)*1/(-13) and 64/105.
1365
Let g be 2 - (-1 + -1) - (-48)/(-48). Suppose 2*k - 30 = -3*o - 3, 0 = g*k + 3*o - 39. Calculate the lowest common multiple of k and 23 - (-2 + (6 - 1)).
60
Let j = 5845/528 + -122/11. Let k = 1093/48 + j. Let c(h) = -h**3 - 96*h**2 - 2075*h + 132. What is the common denominator of c(-33) and k?
4
Let n = -24 + 14. Let v be 1192/n*(-1 + 6). Calculate the common denominator of v/(-240) + 5/(-15) and 97/18.
180
Let a(v) = -v**2 - 6*v + 6. Let x = 278827 + -278797. Calculate the smallest common multiple of x and a(-6).
30
Let o(b) = 43*b - 22. Let p be o(-6). Find the common denominator of ((-12)/42)/(p/1519) and 5/104.
520
Suppose 0 = 4*o + 3*u - 1894, -4*o = -8*o + 3*u + 1882. Let h = 538 - o. Calculate the least common multiple of 33 and h.
66
Calculate the common denominator of -19/2 and (-4 - (-9 - 2)) + (-12)/62112*36390.
2588
Let y(f) = 4*f**3 + 43*f**2 - 14*f - 19. Calculate the lowest common multiple of 14 and y(-11).
14
Suppose -2*c = -5*o + 188, -5*c + 2*c - 156 = -4*o. Suppose -12*s - n + 618 = -8*s, -6*s - 3*n + 936 = 0. Calculate the lowest common multiple of s and o.
612
Let w = 22906164478/12467435841 - 513/536303. Let l = w + -279/287. What is the common denominator of -32/69 and l?
1863
Find the common denominator of (-53)/(6201/(-18)) + (-161)/(-7488) and -61/480.
2880
Suppose i - 21 = 4. Suppose -49 + i = -p. Calculate the smallest common multiple of 15 and p.
120
Suppose 0 = 95*n - 46*n - 53*n + 160. Suppose -5*s + 2*a = -214, 76 = 5*s + 5*a - 159. Calculate the least common multiple of n and s.
440
What is the smallest common multiple of 157 and -14 + 1 - -13 - -3?
471
Let q(a) = -a**3 - 14*a**2 - 25*a - 12. Let i be q(-12). Suppose i = 5*u + y + 8 - 27, -2*u = y - 7. What is the lowest common multiple of 56 and u?
56
Suppose -4*k - 88 = 60. Let s = -19 - k. What is the smallest common multiple of 166 and s?
1494
Let o be -7*(-10)/175 - 324/10. Let s be (-26)/(-117) + o/(-18). Calculate the common denominator of -59/16 and (-69)/6*s/64.
64
Suppose 0 = b - 17 - 3. Calculate the common denominator of (831/6 - 6)*(-2)/b and 9/32.
32
Let q be 3 - 1 - 11947572981/3286256050. Let h = q + -2/26936525. Let v = h + 402/61. What is the common denominator of v and -79/10?
110
Suppose 10*j - 56 - 44 = 0. Let q(v) = 9*v - 72. What is the smallest common multiple of 60 and q(j)?
180
Suppose 5*i - 4*p - 1184 = 0, 2*i + 0*i = -5*p + 467. What is the least common multiple of 40 and i?
2360
Suppose -11 = 18*v - 47. Suppose -v*t = 3*f - 38, 3*t = -t - 5*f + 74. What is the least common multiple of 20 and t?
80
Let h(z) = -5*z**3 + 7*z**2 - 12*z - 62. Let k(d) = -2*d**3 + 2*d**2 - 4*d - 21. Let r(x) = -3*h(x) + 8*k(x). What is the lowest common multiple of r(-6) and 6?
30
Let k = 46 - 179/4. What is the common denominator of (588/(-216))/((-3 + 1)/2) and k?
36
Let i = -2406867/86 - -27986. Let d = -11903/8 - -1486. What is the common denominator of d and i?
344
Suppose -2*b - 806 = s - 301, -1005 = 4*b + s. What is the common denominator of ((-5)/b)/((-5)/10) and -58/9?
225
Suppose -5*k = -5*v + 1783 - 408, 5*k - 543 = -2*v. Let z = v + -271. Calculate the lowest common multiple of 145 and z.
435
What is the common denominator of 99/10 and (-2)/(-14) - (-12087)/(-1701) - -7?
270
Calculate the common denominator of -68/69 and -3 + 5 + (6500/(-128))/13.
2208
Let v = -990299/10 - -98478. Let c = v + 2187/4. Calculate the common denominator of (14 + (-635)/15 + -7)/(28/(-1)) and c.
420
Suppose -9*c + 2808 = 4*c. Let d = 341 - c. Suppose -d*w - 120 = -129*w. What is the lowest common multiple of w and 12?
60
Suppose 4*f + 234 = 32 + 562. What is the smallest common multiple of 10 and f?
90
Suppose -15 = 3*v, -q - v = -2*v - 10. Suppose q*p + 3*x + 420 = -3051, 0 = -3*x - 6. Calculate the common denominator of ((-22)/(-660))/(-1 - p/695) and 64/27.
108
Let n(y) = 36*y + 46. Let h be n(3). Suppose 255 = 3*w + r, 4*r - h - 26 = -2*w. Calculate the least common multiple of 49 and w.
588
Suppose 0*r - r - 4*t = 12, -3*r + t = -29. Let n(x) = -5113*x - 8. Let y be n(r). Let p = y + 1882025/46. Calculate the common denominator of p and -111/14.
322
Calculate the smallest common multiple of (-2 - (-4 - 882)) + 0*(-7)/84 and 6.
2652
Suppose -3*q + 7 = -a - 4, q = -3*a - 13. Suppose -64 - 20 = -q*g + 2*n, -12 = -g - 5*n. Let d = g + -26. What is the lowest common multiple of d and 7?
77
Let z = 67 + -60. Let d(a) = a**3 - 8*a**2 + 15*a - 4. Calculate the lowest common multiple of 44 and d(z).
572
Suppose 0 = 2*j - 5*y - 28, 0 = 5*j + 4*y - 18 + 14. Calculate the lowest common multiple of j and 174.
348
Suppose 6*y + 12 - 30 = 0. Suppose 0*n - 64 = -2*n. Suppose -a + y*a - n = 0. Calculate the least common multiple of 66 and a.
528
Let g be ((-2248)/(-5))/(18/58365). Let k be (-1)/(310976/g) + 4. Let q = k + 2/4859. Find the common denominator of -79/40 and q.
80
Let f(v) = 2*v**2 + 2*v - 6. Let c be f(-3). Calculate the lowest common multiple of ((-80)/15 + 6)*c and 1.
4
Let h(s) = 5*s - 22. Suppose 4*i + 3*a = -0*i + 39, 3*a = -3*i + 33. Suppose 0 = k - i*k + 60. What is the smallest common multiple of k and h(8)?
36
Suppose 233 = 3*q + 2*m, 5*q - 5*m - 380 = -0*m. Suppose 57*u - 24*u = 2310. Calculate the lowest common multiple of u and q.
770
Let c = 151006/239153 + 2/12587. What is the common denominator of c and 4/279?
5301
Suppose 2916 = -95*m + 21536. What is the least common multiple of 3 and m?
588
Let f = 4009784609/126 - 31823910. Let z = -1572/7 - f. Let v = -157703/15 + 10509. What is the common denominator of z and v?
90
Let u(c) = 3861*c - 232. Let n be u(8). Let g = n - 735871/24. Find the common denominator of 67/56 and g.
168
What is the smallest common multiple of ((-1656)/(-10))/((-494)/(-780) - (-3)/(-9)) and 207?
1656
Let s(t) = 20*t + 1028. What is the least common multiple of 576 and s(-46)?
1728
Let a = 40 + -20. Suppose t + 135 = -3*x - 22, t + 133 = 3*x. Let j = t - -165. Calculate the smallest common multiple of a and j.
20
Calculate the common denominator of -15/2669 and (-1140)/(-612) - 10/3.
2669
Let t = -64 + 52. Let d be 3/t - (-12)/48. Suppose d = -5*s + 59 - 19. Calculate the least common multiple of 16 and s.
16
Let p be (-9*47 - -2) + 3. Let r be 30*(p/139 - -3). Let x = r + 5176/2085. Calculate the common denominator of x and -59/27.
135
Let y(r) = r**2 + 11*r - 33. Let z be y(-12). Let f(p) = 3*p**2 - 5*p + 2. Calculate the least common multiple of 7/(z/(-80))*(-9)/(-6) and f(3).
280
Let t = 1679/96 + -58/3. What is the common denominator of t and -14*(-18)/(-588) + 2745/1848?
352
Suppose 4*b = -y - 60, 0 = 2*b - y + 24. What is the common denominator of (-582)/(-80) - 2/5 and 89/6*b/(-28)?
24
Let q = -8190724/599 - -13674. Let o = 11391/2995 - q. Calculate the common denominator of -85/4 and o.
20
Let b(w) be the first derivative of 35*w**3/3 + 3*w**2/2 - 2*w - 7. Let c(x) = -7*x**2 - 45*x - 6. What is the least common multiple of c(-6) and b(1)?
36
Let o(j) = -2*j**3 + 45*j**2 + 25*j - 2. What is the lowest common multiple of 652 and o(23)?
7172
Suppose -63*g - 15*g + 29340 = -1860. What is the smallest common multiple of 440 and g?
4400
Let x(j) = -2*j**2 + 57*j + 3. Suppose -2*m - 2*m + 108 = 4*q, -4*m + 113 = -q. Calculate the smallest common multiple of x(m) and 6.
186
Suppose -3*t - 180 = 3*t. Suppose 11*g - 6*g + 3*s - 4 = 0, 0 = 5*s + 10. What is the lowest common multiple of t*((-8)/3 + 2) and g?
20
Let j = -47 + 46. Suppose 10*l = -4*l + 168. Calculate the least common multiple of 1/(((-16)/l)/(-4)) - j and 14.
28
Suppose 0 = 142*o - 600*o + 43968. What is the smallest common multiple of o and 1400?
16800
Find the common denominator of 73/196 and (2/(9 + -15)*53)/((-9310)/(-15)).
