5
Calculate the smallest common multiple of (-33334)/(-238) + 6/(-102) and 112.
560
Let b = -11308 + 12441. What is the lowest common multiple of b and 721?
7931
Let f be ((-134)/(-57068))/(21/5271) + 2. Let l = -2/1297 - f. What is the common denominator of -19/84 and l?
924
Let c(d) = -17*d - 484. Calculate the smallest common multiple of 1170 and c(-29).
1170
Suppose -124 = -5*c + 3*n, -4*c = 4*n - 8*n - 96. Suppose -3*d = 14 - c. Calculate the smallest common multiple of 6/d*(20 - 2) and 30.
270
Let y(p) = p + 13. Let m(l) = -l**2 - 38*l + 70*l - 13 - 15*l. What is the smallest common multiple of m(16) and y(0)?
39
Suppose 3*h = 7*h - 5*f - 27, -3*f + 6 = 5*h. Suppose 0 = -5*b - 2*s - 207, -5*b - 26 = h*s + 182. What is the common denominator of 61/48 and b?
48
Suppose 41*w - 5365 = -w + 2447. What is the smallest common multiple of 20 and w?
1860
Let s be (9 - -1)/(22/(-1408)). Suppose -j - 3*r = 1 + 1, -5*r = j + 10. Calculate the lowest common multiple of s/(-28) - 12/14 and j.
110
Suppose 188*j - 20 = -3*l + 186*j, 4*l = -j + 25. What is the lowest common multiple of 3972 and l?
3972
Suppose -2*v + 6 + 0 = -5*n, 8 = 4*n. Let r(u) = -9*u + 39. Let j be r(v). Let k = j + 57. What is the smallest common multiple of 36 and k?
72
Let l(p) be the first derivative of -p**4/4 - p**2/2 + 5*p + 1. Suppose -130*x + 425 = -355. What is the smallest common multiple of l(0) and x?
30
Calculate the common denominator of -187/540 and (-6084)/(-600) + -4 + -8.
2700
Suppose 81*r - 1472 = 77*r - 4*z, 3*z - 12 = 0. Calculate the least common multiple of r and 532.
6916
Let m be (21/(-12))/((12/(-6))/(-24)). What is the common denominator of -48/31 and 1661/385 + (-6)/m?
155
Suppose 0 = -6*u - 1826 + 2270. Suppose 800 = -54*p + u*p. What is the lowest common multiple of 32 and p?
160
Let s be (-8545)/264*-2 + (-1)/9. Let v = s + -1189/18. What is the common denominator of 61/12 and v?
132
Suppose 3*a + 588 = -o + 5*a, 2940 = -5*o - 4*a. Let f be (-1)/(-7) + 1992865/o. Let i = f - -3385. Calculate the common denominator of i and 13/6.
12
Let q = 3532 + -1891. What is the smallest common multiple of 5 and q?
8205
Let y(w) = -w**2 + w + 2. Let g be y(-2). Let m = -659 - -2649/4. What is the common denominator of (-7)/g*154/(-21) and m?
12
Let g = 2969/4 + -454333/612. Find the common denominator of -49/459 and g.
459
Let d = -410711/37010 - 10/3701. What is the common denominator of -5/471 and d?
4710
Suppose 2*y - m - 439 = 373, -y = -8*m - 466. Calculate the least common multiple of y and 372.
24924
Let d be 1 - 105556/406*(-24)/672. Let z = d - 444/49. What is the common denominator of 9/(-5) + -1 + 0 and z?
290
Let b = -1037 + 2144. Let z be 10 + -23 + (4 - 54). Calculate the common denominator of (-1)/(-6)*b/z and -15/8.
56
Let a = 2/85723 + -14487367/7715070. Let g = 30157/18 + -1674. Find the common denominator of a and g.
90
Let l(d) = 3*d + 104. Let t be l(-33). Suppose -2*b - 5*n = 8, 0 = 10*b - 7*b - t*n - 13. Let j = -18 + 28. Calculate the least common multiple of b and j.
10
Suppose -q + 4*l + 498 + 454 = 0, 0 = -2*q - 3*l + 1970. Calculate the least common multiple of q and 976.
976
Suppose 5 = 4*q - 3, 0 = 5*p - 2*q - 86. Suppose 307716*f = 307677*f + 39. Calculate the smallest common multiple of p and f.
18
Let a(r) = r**2 - 3*r - 6. Let f be a(5). Suppose f*m = 29 - 1. Suppose -180 = 4*p - m*p. Calculate the smallest common multiple of 21 and p.
420
Suppose 152 = 3*k - a, -18*k - 6*a + 188 = -14*k. Calculate the smallest common multiple of k and 500.
500
Let q = -1748 - -1816. What is the lowest common multiple of q and 332?
5644
Let p = -57 - -65. Let u be (p/2 - -48)*-1. Let f = 54 + u. Calculate the least common multiple of f and 2.
2
Let p(k) = 4*k + 3. Let z be p(1). Suppose 18*h + 308 = z*h. Find the common denominator of (-3 - 186/h) + -1 and -127/12.
84
Let f be 0/((12/(-2))/(-2)). Let n(x) = x**2 + 12. What is the lowest common multiple of n(f) and 24?
24
Let x(p) = 4*p**2 - 15*p - 21. Let h be x(5). Suppose -h*n + 29 = 5*a, 16*n - 14*n - 10 = 2*a. What is the smallest common multiple of n and 136?
408
Let q(d) = 101*d - 18. Let g be q(-2). Calculate the common denominator of 73/24 and (48/(-8460))/(8/g).
1128
Suppose -6*b + 193 + 59 = 0. Suppose b = 102*m - 99*m. What is the lowest common multiple of 7 and m?
14
Let m = 2/1871 + 31791/14968. What is the common denominator of (-5)/((-150)/(-4))*(-329)/(-376) and m?
120
Let b = 169052023/795 + -212644. What is the common denominator of -22/7 and b?
5565
Let t be 2/2 + 3 - (-16)/4. Find the common denominator of -31/99 and t/(-3)*(-1 + (-1048)/(-1056)).
99
Let p(w) = 160*w - 5020. What is the lowest common multiple of 2 and p(108)?
12260
Find the common denominator of 38/(-399) - 306/(-84) and 57/140.
420
Let l(x) = -x + 8. Let i be l(-12). Let o be (-5)/(i/8) + 1. What is the least common multiple of 5 and o + 0/3 + 3?
10
Suppose 27 = 791*p - 794*p. Find the common denominator of -103/86 and (p/60 + 0)/(42/364).
430
Suppose 4*a + h = -3 - 0, -4*a + 9 = -3*h. Suppose a = -32*w + 34*w - 16. What is the common denominator of 37/5 and 1538/132 + w/220*5?
30
Find the common denominator of (0 - (-179)/60)*(-10)/((-30)/6) and -77/60.
60
Let k = -18345 - -550333/30. Find the common denominator of k and -1/112.
1680
Let q(a) = 17*a + 1056. What is the smallest common multiple of q(16) and 4?
1328
What is the common denominator of 63/4 and 20/(-32)*9/(-2)?
16
Suppose 65*j - 1390 = -74*j. Let c(z) = z**3 + z**2 + 4*z + 6. Calculate the least common multiple of c(7) and j.
2130
Let t = 64564/152295 - -16/2343. What is the common denominator of t and -71/75?
975
Let p be (38/10)/((-30)/(-5350)). Let a = 665 - p. Let w = 40379/6 - 6750. What is the common denominator of w and a?
6
Let w be 2/(-2 - 0) - 6/(-2). Find the common denominator of -3*996/1134 + w and 52/27.
189
Let n = -7653741355/3336 - -2294287. What is the common denominator of n and -39/1112?
3336
What is the common denominator of -2 - (1 + 150/(-32)) and ((-980)/(-20))/(-196) - ((-46)/(-4))/(-1)?
16
Let c = -206810812 - -1449743712947/7010. Let g = c + -4/701. What is the common denominator of ((-10)/(-140))/((-21505)/2392 - -9) and g?
70
Suppose -3 = 3*w, -775*w = -3*p - 773*w + 314. Calculate the lowest common multiple of 140 and p.
3640
Let q = 139/9 - 4675/333. Let h = q - 1229/111. Find the common denominator of (-80)/40 + (68/6 - -1) and h.
3
Let f(z) be the second derivative of z**4/12 - 19*z**3/6 + 25*z**2 - z + 8. What is the lowest common multiple of f(18) and 8?
32
Calculate the common denominator of -131/708 and (65/2106)/((-10)/(-345)).
6372
Suppose 3*w = 1 - 4, 4*t + 4*w - 28 = 0. Calculate the lowest common multiple of 80 and (-40)/6*t*45/(-50).
240
Let t = 5149 + -5013. Calculate the least common multiple of 442 and t.
1768
Suppose -j - 166 = -2*h, 5*j = 9*j - 24. What is the lowest common multiple of h and 8?
344
Let f = -262/11277 + 1448287/29816388. What is the common denominator of f and 71/16?
10576
Calculate the common denominator of -61/518 and ((-188)/(-32))/(((-3 - 20) + 9)/8).
518
Suppose -v = 86 - 167. Suppose -4*f = -f - 3*m - 102, 3*f + 4*m - v = 0. What is the lowest common multiple of 11 and f?
341
Let d = -30 + 57. Calculate the lowest common multiple of 15 - 17325/(-440) - 6/16 and d.
54
Let r = -217393/24 - -9062. Calculate the common denominator of r and (-1015)/(-72) - 8 - (-11 - -19).
72
Suppose -1543 = 3*h - 2*j, -3*h + 2*j = j + 1541. What is the common denominator of 570/h*276/(-650) and 47/11?
2145
Let r(l) = 165*l - 3. Let h be r(-5). Let m = -27779512/15 - -1852796. Let v = m + h. Calculate the common denominator of -92/15 and v.
15
Let b be ((-26)/29724)/((-5)/(-4395)). Let d = b - 11467936/260085. Let x = -1674/35 - d. Calculate the common denominator of x and 25/33.
330
Let r = 33 - 28. Suppose 5*f = -r*a + 10, 4*a + 2*f = -a + 19. Suppose 4*l + 36 = 3*j, j - l - 6 - a = 0. What is the smallest common multiple of 42 and j?
168
Let f be (-10)/15 - (-634882)/(-2856). Let u(q) = q**3 + q + 1. Let w be u(6). Let b = f + w. Calculate the common denominator of 47/8 and b.
56
Suppose 0 = 171*z - 97*z - 296. What is the least common multiple of z and -1*(-3)/(-6)*-14?
28
Find the common den