 12499/2616. What is the common denominator of b and -4 - (-474)/(-360) - (-1)/4?
120
Let b be -1*(25/20)/(-5)*-2516. Let s = -18857/30 - b. Calculate the common denominator of 4/27 and s.
270
Let y(a) = -2*a**3 + 9*a**2 + 4*a - 6. Suppose -14*m + 64 = 2*m. Let l be y(m). Suppose 26 = h - l. What is the smallest common multiple of 2 and h?
52
Suppose 4*a + 50 = 9*d, -4 - 28 = -5*d - 2*a. What is the lowest common multiple of 822 and d?
822
Let h be ((-160)/6)/(-4)*12. Suppose -402 + 830 = -111*r - 460. Find the common denominator of -99/32 and 2/h*(19 - r).
160
Suppose 260 = 3*n + n. Suppose 0 = 10*z + 79 - 23 - 26. Calculate the common denominator of -2 - (n/z)/(-5) and -35/8.
24
Let f = 42 + -39. Suppose p - 7 = -b, f*b - 2 = 5*p + 59. Let u = -6 + b. Calculate the least common multiple of u and 6.
6
Let i = 143/7 - 803/28. Calculate the common denominator of i and (-5)/(-1)*(-14)/54.
108
Let b = -7802271/19060 - 950/953. Let n = 1255/4 + b. Let y = n - -551/10. Calculate the common denominator of 121/40 and y.
40
Let r = -628016 + 80897881043/128815. Let p = -11464901/15715430 + r. Find the common denominator of -97/4 and p.
244
Suppose -2669 = 12*b + 931. Let f = 5971/20 + b. Find the common denominator of 5/8 and f.
40
Calculate the common denominator of 61/9 and ((-11859)/(-472))/((-2397)/(-12) - -2).
4842
Let g = -318823/28 + 22781/2. Let j be (166119/(-18780) - -3) + 1. Let c = j + -64/313. Find the common denominator of g and c.
140
Find the common denominator of -6 - (10/(-15) - (-14217)/(-2610)) and -4/55.
3190
What is the common denominator of -55/8 and (-201481)/(-52644) - 11/3?
984
Suppose 1524 = 2*p - 5*u, 42*p - 2267 = 39*p - 2*u. Let c = p - 229. Calculate the lowest common multiple of 9 and c.
1584
Let z be -897*((-2)/4)/(15/10). Let g = 438 - z. Calculate the common denominator of -22/3 and g*((-44)/(-72))/(-11).
18
Let l = 6933 - 6923. Let a be 3/6 - 3/(-2). Suppose 0 = -2*q + 3*q - a. What is the smallest common multiple of l and q?
10
Let y be 16/3 + -4 + (-66)/(-18). Find the common denominator of (-2)/y - (-3042)/(-520) and 167/42.
84
Suppose 10 = 5*t - 2*w, -t + 0*w = -5*w - 25. Suppose -2*d + 5 + 23 = t. Let i = 628999 + -628993. What is the lowest common multiple of d and i?
42
What is the common denominator of (-203232)/(-8134) + (374 - 399) and -23/4067?
4067
Let v = 1081/181 + -271065/48508. What is the common denominator of v and -93/268?
268
Calculate the common denominator of -77/960 and (-11)/(-5 + 71)*(-666)/200.
4800
Let l = -107 - -163. Suppose 0 = 3*j + 3*m - 99, -14*m = -2*j - 9*m + 31. Calculate the lowest common multiple of j and l.
56
Find the common denominator of (-100)/(-36) - 3 - 1452/(-4644) and -67/172.
1548
Suppose 4*q = -7*z + 12*z + 9020, -9020 = -4*q + 2*z. What is the lowest common multiple of 41 and q?
2255
Let h = -67995920743/8652 - -7858983. Find the common denominator of h and -97/40.
86520
Let v = -33406 - -57679. Let f = v - 946577/39. Calculate the common denominator of f and 74/21.
273
Let q = -67 + 69. Suppose 122 = 2*j - 5*o, -q*j + o + o + 122 = 0. Let u = 88 - j. What is the lowest common multiple of u and 12?
108
Let u = -73223/396 + 2030/11. Let l = 25462/1469 + 2/4407. Find the common denominator of u and l.
36
Calculate the common denominator of 89/7356 and ((-16)/(-76))/(2 - 4) - (-57398)/640585.
36780
Let n be 6663/552 - 5 - 7. Let b = n - -4447/23000. Calculate the common denominator of -34/55 and b.
1375
Let a(c) = 28*c**3 + 6*c**2 + 20*c - 54. Calculate the smallest common multiple of 234 and a(2).
234
Let t = -2/39743 - 278181/397430. What is the common denominator of 20/5344*814 + -3 and t?
3340
Let r = 14080939/55803600 + -2/129175. Calculate the common denominator of 127/18 and r.
432
Calculate the lowest common multiple of 444/22 + (23 - 3315/143) and 32.
160
Let v = 256 + -1009/4. Let z = -152 + 2399/16. Find the common denominator of v and z.
16
Let l = 4 + 6. Suppose 22*i - 60 = 10*i. Suppose -292 = -i*t + 218. What is the lowest common multiple of l and t?
510
Suppose 0 = 4*x - 9*x - 25. Let a(u) = 3*u**2 - u. Let s be a(x). Calculate the common denominator of ((-356)/s)/(1 + -2) and 119/10.
20
Let v(m) = -4*m**2 - 24*m + 2. Let c be v(-6). Suppose c*s = -5*t + 690, 0 = -3*t + 4*s + s + 383. Calculate the smallest common multiple of 4 and t.
136
Let g be ((-15)/(-30))/(-2 + 6/4). Calculate the smallest common multiple of (g/3)/((-28)/840) and 2.
10
Let m = 1/25591 - -25051/13819140. Find the common denominator of m and -59/20.
540
Let c = -5849515/104 - -56246. Find the common denominator of c and (-15)/25 + 755/400*3.
208
What is the common denominator of 6/159*(17220/(-40))/21 and (-14)/(-4)*(-80)/(-12)?
159
Let c(r) = 6*r**2 - 3*r - 2. Let k be (-9)/36 - 165/(-20). What is the smallest common multiple of -1*28/((-16)/k) and c(4)?
574
Let a = -410137/9650 + 6/4825. Calculate the common denominator of 85/8176 and a.
8176
Let x be ((-232)/2958)/((-2)/48). Let m = 893/68 - x. Calculate the common denominator of 73/12 and m.
12
Let v(z) = z**3 + 19*z**2 - 41*z + 20. Let o be v(-21). Calculate the common denominator of -69/2 and ((-984)/(-80) - o) + (-2)/(-10).
2
Calculate the least common multiple of (336 + -331)*(44 + 1/1) and 207.
5175
Let s = -36 + 12. Let g = 126 + s. Suppose 11*d - 8 = g. What is the smallest common multiple of 2 and d?
10
Suppose 18*u = -2*r + 14*u + 60, -3*r = -2*u - 34. Calculate the least common multiple of r and 12.
48
Let r = 12/1679 + -99601/75555. Find the common denominator of r and 47/30.
90
Calculate the common denominator of 61/33 and (-12 - (-249052)/9975) + -13.
5775
Suppose -65*l + 47*l = -1404. What is the smallest common multiple of 39 and l?
78
Let s(m) = m**2 - 5*m - 178. Suppose 6*i - 68 = -11*i. Calculate the smallest common multiple of i and s(18).
56
Suppose 0 = -5*a + 4*y - 0*y + 7, 0 = -5*a + 2*y + 11. Calculate the common denominator of 52/15 and (a - (-258)/(-144))*-5.
120
Let r = -33/125 - 1027/750. What is the common denominator of (-3)/(-2) + -2 + (-145)/(-90) and r?
90
Let j = 30150528 + -18994825907/630. Let r = j + -446/35. Calculate the common denominator of r and 12/15 + ((-13)/(-8) - 2).
360
Let l(d) = 6*d**2 + 6*d - 24. Let y(s) = 2*s - 4. Let p be y(3). What is the smallest common multiple of l(p) and 18/5 + (-2)/(-5)?
12
Let k be (-2 + (-2 - -3))*(-180)/20. Suppose 3*d = -k, -4*i + 616 - 159 = 5*d. Calculate the smallest common multiple of i and 6.
354
Let l(z) = z**2 + 4*z + 3. Let m = 96 + 234. Let f = -324 + m. Calculate the smallest common multiple of l(-7) and f.
24
Suppose -1120 = -263*w + 2825. Calculate the lowest common multiple of 870 and w.
870
Let g = -5 - -9. Let x(s) = -10*s**3 - 3*s**2 - 20*s - 129. Let j be x(-5). Let v = j - 1141. Calculate the smallest common multiple of v and g.
20
Let w(s) be the first derivative of s**2 + 62*s + 39. What is the lowest common multiple of 366 and w(-27)?
1464
Let c be (61/4)/(7/(-28)) + 5. Suppose -4*q - 9 - 7 = 0. Calculate the common denominator of 47/14 and (-30)/c + (-3)/q.
14
Let m be (-704)/1047 - ((-30)/9)/5. Let u = m - 4501/6282. Find the common denominator of u and 65/6.
18
Suppose 4*k + 5*d = -43, 2*d - 16 = 2*k + 10. Let s = 418531/18 + -23253. Find the common denominator of (1030/k)/5 - -1 and s.
18
Let m = -7766 - -77733/10. Calculate the common denominator of m and ((-1)/3)/(104/(-612)).
130
Suppose 17*w + 12 = 13*w. What is the common denominator of -4/9 and (3 + 44)/((-117)/(-6) - w)?
45
What is the common denominator of (4/636)/(2/(-122)) and 1344/594 - 2/18?
1749
Let w = 112 - 173. Let c = 22 - w. Find the common denominator of -87/4 and c/((-3)/(-2)*(-132)/9).
44
Let i = 3042193 + -30537533297/10038. Calculate the common denominator of i and -25/18.
30114
Suppose -2*q - 3*q - 12*q = 0. Suppose 3*p = 5*v + 4661, -7*p + 2*p + 10 = q. What is the common denominator of 63/86 and v/42 - 1/(2/(-4))?
258
Let y(j) = 117*j + 75. Let n be y(-14). Let h be 24 + -28 - n/(-35). Let u = -224/5 - h. What is the common denominator of u and 25/7?
7
Let x = 2208635/37 - 59648. Let k = -110999/2516 + x. Calculate the common denominator of 53/8 and k.
136
Suppose -3*l = -2*l - 1. Let x = 1670 - 1720. What is the common denominator of x and l?
1
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