20)). Let m = -3179/4 - p. Find the common denominator of m and 95/2.
10
Suppose -2*a + 25 = m, 4*m - 13 = 3*m - 5*a. Calculate the smallest common multiple of m and ((-48)/40)/(2/(-65)).
429
Let g = 209/64 - 6805/1344. What is the common denominator of -55/438 and g?
6132
Let f = -155 + 81. Let o = f - -200. Suppose -16 = 10*u - o. What is the smallest common multiple of 11 and u?
11
Let b(o) = 2*o + 22. Suppose 19*y = 14*y - 45. Let j be b(y). Suppose 0 = n + 3*x + 2 - 8, -20 = -n + j*x. Calculate the smallest common multiple of n and 12.
12
Suppose -2*a + 5*d = -441, 21*a + 2*d + 1176 = 26*a. What is the lowest common multiple of 14 and a?
238
Let r = -1/151721 - 6219917/97708324. Find the common denominator of -111/4048 and r.
28336
Suppose 392 = -599*s + 607*s. What is the least common multiple of 21 and s?
147
Let g(t) = t**2 - 6*t + 1. Let l be g(5). Let z be (-4)/7 - (-143)/91. Calculate the smallest common multiple of 6 and z/(l/(-10))*(-16)/(-5).
24
Let g = -23125 + 23355. Suppose -27 = -l - 2*j, -4*l + 59 + 69 = 3*j. Calculate the lowest common multiple of l and g.
1610
Let s = 2554 + -2266. What is the least common multiple of 12 and s?
288
Let t = 214 - 412. Let h = -190 - t. Calculate the least common multiple of 8 and h.
8
Let m = -11800 - -27116. Let j = m + -229651/15. What is the common denominator of -1/60 and j?
60
Let l = 8 - 7. Suppose 3*t - h = 4*h + 25, t + 5*h + 5 = 0. Suppose 4*n = t*r + 59 + 22, 0 = 3*n + 5*r - 17. Calculate the smallest common multiple of n and l.
14
Suppose 10*t = 3*t - 112. What is the common denominator of -6/7 and ((-4)/t)/(3/(-152))?
21
What is the common denominator of ((-22)/(-198))/(1*-1) - (-388)/(-9792) and -21/340?
1360
Let r(t) be the first derivative of 1/3*t**3 - t**2 + 14*t - 33. What is the lowest common multiple of r(0) and 8?
56
Suppose -8*c + 3*c - 1010 = 0. Let u = -3287/1404 + 245/52. Find the common denominator of u and c/468 + 24/156.
54
Let o(c) = -16*c**3 + 3*c**2 - 68*c - 254. What is the lowest common multiple of 15 and o(-4)?
3270
Let t = -9421/1235 + 7/247. What is the common denominator of t and 93/1694?
8470
Suppose k - 4*d + 1 = 30, 3*k - 2*d - 17 = 0. What is the smallest common multiple of 271 and k?
271
Suppose 335*d - 334*d - 561 = 0. Let x be (-60)/(-45)*4241/(-10). Let o = d + x. Calculate the common denominator of 26/11 and o.
165
Suppose -5*s = -68 + 23. Let o be -1 - (4 - (6 - 1)). Suppose o = 46*q - 51*q + 20. What is the lowest common multiple of s and q?
36
Calculate the least common multiple of 38 and 1 + 127 + (-19 - (-8)/1 - -5).
2318
Let l be (10*(0 - 1))/(-1). Let c(g) = g**2 + 85*g - 266. Let m be c(3). What is the least common multiple of 16 and -10 + l + (-40)/(m - 0)?
80
Let t(m) = 19*m + 27. Let k be t(3). Let u be k/9 - (-2)/3. Suppose -13 = -u*p + 27. Calculate the lowest common multiple of 36 and p.
36
Let j be (8 - 2)/(-48) - (-14734)/2105. Let g = j - -1/2105. What is the common denominator of 35/8 and g?
8
Let g = -14 - -13. Let l be 2 + 0 - (-59)/g. Calculate the common denominator of 25/2 and (-10)/(-15) + l/(-144).
16
Let p = 47137 + -234919/5. Let c = p + -36893/240. Calculate the common denominator of ((-1 + 259)/3)/8 and c.
48
Let a = 10218 + -10098. What is the smallest common multiple of 120 and a?
120
Let i be (-913)/55 + 0 + (-3)/(-5). Calculate the common denominator of 23/60 and 524/(-2)*i/384.
60
Let g be 9/27*(142 - 1). Let h = g + -41. Calculate the least common multiple of 60/14 + (-240)/(-42) + -6 and h.
12
Find the common denominator of 61/220 and ((-172)/22 - -8)/(12*4).
1320
Suppose -10*n + 4745 - 5743 + 3798 = 0. Calculate the least common multiple of n and 10.
280
Let s(q) = 2*q**2 + q + 4. Let u be (4*(-10)/80)/((-1)/(-8)). Calculate the least common multiple of s(u) and 11.
352
Let h = -230020186/91 + 2527720. Let b = h - 300/13. Let p = b - 295/112. Find the common denominator of p and 61/208.
208
What is the common denominator of -25/9 and (-127451)/48930 + (-4)/42?
90
Suppose 3*b + 14 = i, -5*i + 18*b - 14*b = -81. Calculate the smallest common multiple of 174 and i.
2958
Find the common denominator of (-3 - -2) + (51/(-12))/(13/(-5)) and -14/31.
1612
Find the common denominator of -43/18 and (-2 - (-258)/10)*55/(-4026).
1098
Let d(h) = -h**3 - 2*h**2 + 3*h - 1. Let k = 66 + -64. Let i be d(k). What is the common denominator of -4/7 and ((-77)/28)/i - (-249)/(-20)?
35
Let i(d) = 2*d + 31. Let g(c) = 6*c + 92. Let f(y) = -2*g(y) + 7*i(y). Calculate the smallest common multiple of f(-13) and 77.
77
Find the common denominator of 82/(-100)*20/72 and -47/1020.
3060
Suppose 3*q - 33*d = -38*d - 17, 3*q + 13 = -4*d. Suppose -16 = 4*s - 6*s. Calculate the least common multiple of q and s.
8
Let n be (-11 - -3)/(-4)*23. Suppose l - 64 = -n. What is the smallest common multiple of l and 202?
1818
Let h(z) = 2*z + 31. Let q be h(-13). Calculate the smallest common multiple of 54 and 3/q + -3*195/(-25).
216
Let y = 21491/209989 + 8/7241. Find the common denominator of 131/174 and y.
174
Let o = 73220 + -6589897/90. Calculate the common denominator of -23/85 and o.
1530
Suppose 18*k = 10*k + 1328. Suppose -18*x = -k - 50. What is the lowest common multiple of x and 12?
12
Suppose 5*m - 10 = 5*k - 0*m, 5 = -k - 2*m. Let t = 57719/12 + -4813. What is the common denominator of 81/(-24) + 1 + k and t?
24
Let i(r) = 7*r - 2. Let s(f) = -3*f + 1. Let a(c) = 4*i(c) + 9*s(c). Let d(p) = 19*p**2 - 3*p + 2. Calculate the least common multiple of d(1) and a(3).
36
Suppose 78*v + 4*z = 79*v - 1412, 2*z = 8. Calculate the smallest common multiple of 714 and v.
1428
Let g(u) = -175*u**3 - u**2 + 4*u - 3. Let x be g(1). Let j = x - -365/2. Find the common denominator of j and 97/22.
22
Let r = -34 - -30. Let y be (r/6)/(2/(-30)). Calculate the least common multiple of 8 and y*(-8)/20*-1.
8
Calculate the common denominator of (3 - (2 - 232/(-80)))*-1 and -11/347.
3470
Let v(w) = w**2 - 5*w + 5. Let t = -156 + 162. What is the least common multiple of v(t) and 59?
649
Let p be (-2*693636/160)/((-42)/(-24)). Let y = p + 4955. Find the common denominator of 52/105 and y.
105
Let b = -193034/5224275 + 2/24075. Find the common denominator of 57/70 and b.
2170
Let n(g) = 2*g + 24. Let b = 31 - 40. Let h be n(b). Suppose 35 = -h*c + 221. Calculate the least common multiple of 7 and c.
217
Let o be (13/26)/(1/10). Suppose m = -i + 8, 19 = o*m + i - 1. Calculate the least common multiple of 93 and m.
93
Suppose 8*z = 2*z + 12. Suppose z*x - 17*x + 210 = 0. What is the lowest common multiple of 160 and x?
1120
Suppose -2225*s - 13440 = -2231*s. Calculate the smallest common multiple of s and 22.
24640
Let i = 1004435142004395377/836563 - 1200668858179. Let c = -12/9193 + i. What is the common denominator of 93/130 and c?
910
Let u(t) = -3*t - 3 - 2 - 3 - 6. Let n be u(-6). Suppose h = -n + 1, -56 = -4*g - 4*h. Calculate the smallest common multiple of g and 5.
85
Let g = -2/66159 + 1698157/2514042. What is the common denominator of g and 31/708?
13452
Let z = -1126 - -757. Let m = -7789/21 - z. Find the common denominator of m and 44/30 + 5 + -5.
105
Find the common denominator of 53/22 and (-1940)/(-9792) + ((-49)/140 - (-3)/30).
26928
Let o = -307 - -275. Calculate the common denominator of 9/32 and (6/8)/3 - 73/o.
32
Suppose 0 = -2*m - 2, -3*v = -0*v - 4*m - 409. Let k = 915 - 909. What is the least common multiple of k and v?
270
What is the common denominator of 151/1596 and (-3015)/150*100/(-1080)?
4788
Let p be (1/(-3))/(((-15)/18)/5). Suppose 0 = -p*h + 4*q - 24, -5*q + 15 = -2*q. Find the common denominator of 0 - 126/(-16) - h/4 and -75/14.
56
Let n = 579863/178420 + 1/89210. Let o = 530519/87 + -24372139/870. Let b = -21921 - o. Calculate the common denominator of n and b.
60
Let s = 46 + -39. Suppose 0 = s*f + 711 + 297. Calculate the common denominator of -107/6 and (-750)/f + 2/(-4).
24
Let j = 16063 + -10687. Calculate the lowest common multiple of j and 7.
5376
Let a(s) = 7*s**2 - 5*s - 21. Let f(t) = 3*t**3 - t**2. Let c be f(-1). Let i be a(c). Suppose 8*q - 81 - i = 0. What is the lowest common multiple of 7 and q?
168
What is the common denominator of 0 - 25/15 - (1336/1560 - 2) and 21/67?
4355
Let w be -9 + (3 + -7)*(-4)/16. 