3331 + -5109463/219. Calculate the common denominator of c and 46/1971.
1971
Suppose -4*n + 2*u = -0*n - 1298, -5*n + u = -1630. Let o = n + -279. Calculate the least common multiple of o and 54.
432
Let i(t) = t**3 + 49*t**2 - 2*t - 93. What is the smallest common multiple of i(-49) and 1*2/1 - (-4 + -2)?
40
Let z = 36922603/20 + -1845666. Let m = z - 466. Let f = -3/12152 + 240005/12152. What is the common denominator of f and m?
20
Calculate the common denominator of (5090/1050 - 7)*(3 + (-339)/108) and 53/28.
756
Let t(q) = -4*q + 4. Let j(b) = -2*b**3 - 3*b**2 + 2*b + 16. Let x be j(-4). Let u = x - 91. What is the least common multiple of 14 and t(u)?
112
Let y = -4 + 3. Let h = 9 + y. Suppose 0 = -k + 5*r, -4*k + 2*r = -37 + 1. What is the smallest common multiple of k and h?
40
Let n(f) = 82*f + 353. What is the lowest common multiple of n(-2) and 210?
1890
Let f be (-2 - 0) + (-5 - -6) + 4. Calculate the common denominator of -3 + ((-675)/(-104) - f) and -89/10.
520
Find the common denominator of 1/432 and (1309/462)/(1 + (-273)/33).
4320
Suppose -2*b + 10 = 2*y, -5*b - 4*y + 39 = -6*y. What is the common denominator of (b/12 - 0)*(-6104)/1372 and -95/66?
462
Let l be (-12)/(-8) - (-36)/8. Suppose 8 + l = 7*z. Suppose 4*s = -h + 4, 3*s + h + z = 4. What is the smallest common multiple of 20 and s?
20
Suppose 26*w + 687 - 9039 = -32*w. Calculate the lowest common multiple of w and 2124.
8496
Let s be (1 + 0)/((-4)/(-5884)). Let d = s + -5807/4. Let l = -689245/8 - -86158. Find the common denominator of l and d.
8
Let k be (10/20)/(1/(-4)). Let u = -126/43 + 3847/946. Calculate the common denominator of u and 2 + k/(680/1185).
748
Let g(r) = -3*r + 2. Let b be g(6). Let n = -731701/35 + 20904. What is the common denominator of ((-16)/240)/(b/66) and n?
280
Let n be -1*(1 + -1)/(10/(-10)). Suppose n = -2*c + 40 - 142. Let u = c + 71. Calculate the smallest common multiple of 26 and u.
260
Let u = -222/43 + 4105/387. Find the common denominator of 1*-2 + 62/(-30) and u.
45
Let l(h) = 2*h**3 - 16*h**2 + 6*h - 45. Let b be l(8). Suppose -9*m + 11*m - 17 = -b*w, -2*m + 5 = -w. What is the smallest common multiple of w and 253?
759
Let g = -359 + 1251. Let i = -29434/33 + g. Calculate the common denominator of i and (-750)/16*(-3)/27.
264
Let f = 105659/10 - 10556. Let u = 2/87909 + -121490252/615363. Let w = u - -29837/154. What is the common denominator of w and f?
110
Let t = -73 + 69. Find the common denominator of -86/45 and (-6)/t*(-116)/(-210).
315
Let o = -11559918989/20554 + 562417. Find the common denominator of -67/18 and o.
184986
Let x be (((-15)/(-5))/((-3)/4))/2. Let h(v) = -9*v**3 - v**2 + 4*v. Calculate the lowest common multiple of 7 and h(x).
420
Calculate the common denominator of 67/6 and (63/10500)/(3/21).
1500
Let f be -606*((-24)/18 + 1). Let i = -162 + f. Calculate the lowest common multiple of 8 and i.
40
What is the common denominator of (-5586)/7660 + 576/960 and -95/4?
1532
Let m = 11676013/45 - 259466. Let z = -3/2600 - -182243/210600. Find the common denominator of m and z.
405
Let o = 17142 - 17134. What is the least common multiple of 2570 and o?
10280
Let n = 2/10443085 + 24948529673/2046844660. Let a = 3/49 + n. What is the common denominator of (-14)/10*((-52)/(-7))/(-2) and a?
20
Let p = -107 + 112. Suppose 110 = p*o - 10. Calculate the smallest common multiple of o and 20.
120
Let d be ((-30)/3)/(-2) - -1. Suppose 7*s = 4*s + 33. Calculate the lowest common multiple of -4 - (-6 + -7 + d) and s.
33
Let m = 35853971/1032 + -16535/129. Let n = 34608 - m. What is the common denominator of n and (85 - 91) + (-1 - 129/(-8))?
24
Let z = -6042354297490 - -3069612660795807125/508016. Let p = z - -2/31751. What is the common denominator of 1 + 0 + (-89)/(-12) and p?
48
Let w be (-4408)/6621 - 8/(-12). Let q = 236161/13242 - w. What is the common denominator of 36/11 and q?
66
Let n = 33796 + -1081377/32. Calculate the common denominator of -7/1504 and n.
1504
Suppose -35*a + 15*a + 44688 = 56*a. What is the least common multiple of 28 and a?
588
Suppose -7*y + 3473 - 1072 = 0. Let o = -12443/36 + y. Calculate the common denominator of -41/22 and o.
396
Let z = 608 - 9695/16. Let p be 70175/(-84) + (-3 - 0). Let u = 837 + p. What is the common denominator of z and u?
48
Let m(y) be the first derivative of 4*y**3/3 - 4*y**2 - 6*y - 8. Let t be m(6). Suppose -a - t = -4*a. What is the least common multiple of a and 30?
30
Suppose -5*j - 3*n = -5 + 2, -20 = 5*n. Suppose 4*b = j*s - 11, b + 1 = s - b. Calculate the smallest common multiple of s and 1.
9
Suppose -4*b - 5*x = -12, 4*b - 6 = 2*b - 4*x. Let o(q) = q**2 - 7*q + 6. Let z be o(b). Calculate the common denominator of -101/20 and (23/66)/((-1)/z*2).
220
Suppose 1 - 37 = -z. Suppose 0*d + z = 3*d. Let u(v) = 27*v - 402. Calculate the least common multiple of u(16) and d.
60
Suppose -205 = -6*a + 131. Let z = -53 + a. Find the common denominator of 5/8 and 4 + (-596)/32 + z.
8
Let z be (-48)/18 + 1/(-3). Let u(n) = n**2 - 4*n + 1. Suppose 4*w - 31 = -2*r + 79, 0 = -w + 2*r + 40. Calculate the smallest common multiple of w and u(z).
330
Suppose -12*y + 13*y = 43. Let q = 42 - y. What is the common denominator of q + 1/30*(1 + -2) and -91/6?
30
Let k = 1051/989 + -4292151/3989626. Calculate the common denominator of k and 73/4.
8068
Let n = 383/4 - -259/4. Let u = 164 - n. What is the common denominator of 31/30 and u?
30
Let u be (402*2/16)/((-165)/22). Let d = 128/15 + u. What is the common denominator of (-90)/(-4)*(-1)/(-2) and d?
12
Let i be -4*7/84*9. Calculate the common denominator of -85/6 and (-222)/36 + 6 + 73/i.
6
Let c = 19943 - 19902. Suppose 0 = 5*f - 2*f + 105. Let j = c + f. What is the smallest common multiple of j and 33?
66
Suppose 24*b + 23*b + 3*b = 500. What is the least common multiple of 33472 and b?
167360
Suppose 1 = -2*u + 9, -2*u - 13 = -3*o. Let h = o - -3. Suppose 9*w - h*w = -26. Calculate the lowest common multiple of w and 2.
26
Suppose -u = -7*u + 348. What is the common denominator of -97/40 and (78/30 - 2) + u/(-40)?
40
Let z = -7286222/259 - -28132. Find the common denominator of 15/49 and z.
1813
Calculate the lowest common multiple of (1 - (-166)/(-1))*(-55)/165 and 3615.
39765
Let i(a) = 57*a**2 + 2622*a + 10. Calculate the least common multiple of i(-46) and ((-35)/4)/((-1)/4).
70
Suppose -3*s + 120 = -108. What is the least common multiple of s and 126/(-35)*20/8 + 149 + -7?
532
Suppose x + 30 = 5*d, -2*x + 4*d - 134 = x. Let q = x - 25. Calculate the common denominator of (q/(-8))/((-17)/34) and 11/4.
4
Let r = 0 - 4. Calculate the common denominator of (-274)/34*(-25500)/9000 and (9/12)/(6/r).
6
Let k be (-9260)/(-16) - ((-9)/(-12) - 1). Suppose -l = -5*o + k + 96, -405 = -3*o + 4*l. What is the least common multiple of o and 7?
945
Suppose 6*x + 59 = 293. Suppose -18*p = -165 + x. What is the least common multiple of 22 and p?
154
Let q be 0 + 3/3*8. Let o(x) = -x**2 + 10*x - 8. Let z = -12517 + 12519. What is the lowest common multiple of o(q) and z?
8
Let t = 1016 - 871. Suppose 396 = 156*p - t*p. Calculate the least common multiple of 15 and p.
180
Suppose -31*n = -7*n + 144. Suppose 0 = -3*q + 4*q + 12. What is the smallest common multiple of (-17)/(-2) - n/q and 32?
32
Suppose -3*x - 16 + 67 = 0. Suppose -x*a + 19*a = 294. What is the least common multiple of a and 9?
441
Let q = -1176 + 1500. Calculate the smallest common multiple of q and 270.
1620
Let y = 34 - 37. Let m be y - (-3 + (-1 - -1)). Find the common denominator of -13/6 and (62 + m)*(-1)/2.
6
Let q(m) = -m + 17. What is the smallest common multiple of q(5) and (6/(-9))/(-2*3/126)?
84
Let l = -8059 - -9819. What is the lowest common multiple of 6 and l?
5280
Find the common denominator of 0 - (0 - (-2)/72) and (363/(-147))/(-34 - 3712/(-112)).
252
Let d = 344/131 + -27883/13362. Find the common denominator of d and 137/30.
510
Suppose -10*u = -8*u - 84. Suppose 18 + u = 3*h. Find the common denominator of (6/h)/(-1 + 412/436) and 13/4.
20
Let r = -105 - -109. Let o(a) = -2*a**3 + 10*a**2 - 7*a + 7. Let v be o(r). Find the common denominator of -55/2 and 2805/110*1/v*-1.
22
Let p = 2/65686343 + -98638750888537/4203925952. Let n = 23463 + p. Calculat