e -72*n = -121*n + 5145. What is the lowest common multiple of 255 and n?
1785
Let r = -20/687 + 15832/8931. Find the common denominator of r and 4/24 + 20/(-11760)*-266.
273
Suppose 8*r - 243140 = 4*r. Suppose r + 31935 = -5*h. Let c = h - -741859/40. Find the common denominator of 85/12 and c.
120
Suppose 0 = 5*q - 5 - 0, 5*z - 79 = -4*q. What is the smallest common multiple of 65 and z?
195
Let g = -154 + 148. What is the common denominator of -49/44 and 2/g*3*52/8?
44
Let b = -255411721/1450 - -176146. What is the common denominator of -43/1015 and b?
10150
Let b(u) = -2*u**3 - 41*u**2 + 20*u - 16. Let z be b(-21). Suppose -246 = -z*n - 46. Calculate the smallest common multiple of n and 16.
80
Suppose 25*d = 2*n + 29*d - 3116, n + d = 1557. What is the smallest common multiple of n and 1?
1556
Suppose -5*h - 2*w = -14, 4*h = -13*w + 17*w. Find the common denominator of -41/10 and (h*3/(-6))/(-82)*-99.
410
Let a be (44/16 + -3)*(-8)/21179. Let q = a + -1376689/571833. Find the common denominator of q and -19/240.
2160
Let u be (-1)/(-10) - (-14389213)/(-11780). Let j = -1221 - u. What is the common denominator of 3/20 and j?
620
Let n = -5542 + 5678. What is the smallest common multiple of 12 and n?
408
Let o be 5/10 - (-34)/4. Suppose -28 = o*x - 13*x. Find the common denominator of x/(-49) - (-38)/14 and 47/3.
21
Let f(s) = -6*s - 36. Let t be f(-7). Suppose 140 = 3*m + z, z = -2*m + t*m - 182. Suppose 4 = -2*x + m. What is the lowest common multiple of 30 and x?
210
Suppose -119*u = -129*u - 90. What is the lowest common multiple of (u/9)/((-2)/130) and 39?
195
Suppose 3*h - 184 + 130 = 0. Let s = -34 + 47. Suppose 3*m + 5*q - 7 = 4*m, -q - s = -m. What is the least common multiple of h and m?
18
Let k(j) = 3*j**3 + 2*j**2 - 13*j + 12. Let y be k(1). Calculate the common denominator of 442/156*(-15)/(-13) and (y/(-8))/(10/(-178)).
130
Suppose 2*z - 8124 = 2*r + 5412, 5*r - 33840 = -5*z. Let t = z - 561735/83. Find the common denominator of -49/10 and t.
830
Let y = -2822639/2329952804 + 20/115139. What is the common denominator of y and -41/2?
20236
Let n = 13527 - 2353705/174. What is the common denominator of n and -29/66?
1914
Suppose 72 = -2*i + 3*i. Suppose 2*r + 2*n - 290 = 0, -r + 142 = -n - n. Suppose r = i*p - 69*p. Calculate the lowest common multiple of 30 and p.
240
Let u = 275 + -175. Calculate the common denominator of (9/(-4))/((-6)/u) and (-1974)/(-6909)*(-7)/3.
6
Suppose k = -4*n - 0*k + 37, 2*n = 5*k - 9. Suppose 5*l = -3*x + 185, -n = -4*x + 4*l + 228. Let h = 8 + -6. What is the smallest common multiple of h and x?
60
Suppose 2*t + 318 = -t. Let j = 557/5 + t. What is the common denominator of j and (-117)/(-54) + 1 + -2?
30
Calculate the least common multiple of (1 + -9)*(32 + -33)*46 and 528.
12144
Let u = 17/339 - 12871/2034. Calculate the common denominator of u and -47*3*1/(-18) - 0.
18
Let c = 133 - 98. Suppose c = 4*g + l, -l = 7 - 6. What is the least common multiple of g and 9?
9
Let q(m) = -3*m + 17. Let o be q(6). Find the common denominator of 263/(-35) + (-2)/7 and 2*(o*2)/((-486)/(-783)).
45
Let g(n) = -30*n**3 + 17*n**2 - 7*n - 15. Let q(k) = -7*k**3 + 4*k**2 - 2*k - 4. Let a(o) = 2*g(o) - 9*q(o). What is the least common multiple of 12 and a(3)?
324
Suppose -3*p = 5*z - 70, -3*z + 17 = 4*p - 25. What is the lowest common multiple of z and 2?
14
Let w = 76564/11 - 6960. What is the common denominator of 49/15 and w?
165
Let n = -7 + 11. Suppose -n*z + 24 = 2*x, -5*z + 18 = -2*z - 4*x. Let s(h) = 34*h**2 + 137*h + 6. Calculate the lowest common multiple of z and s(-4).
6
Let d = -28227/15022 + 664/203. Find the common denominator of d and -35/222.
222
Let m = -10664 - -10804. Calculate the lowest common multiple of m and 61.
8540
Let j = -5386 + 269279/50. Let l = j + 17/100. Calculate the common denominator of l and -97/408.
408
Suppose -58*k + 2033 = 119. Calculate the lowest common multiple of 252 and k.
2772
Let g = 106/11 - 2913/308. Let s = -6397 - -294247/46. What is the common denominator of g and s?
644
Let c(a) = 2*a**3 - 22*a**2 - 27*a - 5. Calculate the lowest common multiple of c(13) and 72.
2880
Let v(u) = -14*u - 142. Let y be v(-10). Let r(s) = -27*s**3 - 5*s**2 - 5*s + 4. What is the smallest common multiple of 8 and r(y)?
840
Let l = -2 + -232. Find the common denominator of 23/52 and (13*(-12)/l)/((-104)/(-267)).
52
Suppose 4*x - f - 111 = 1009, -3*f = 5*x - 1400. Let i = x + -248. Calculate the smallest common multiple of i and 5.
160
Find the common denominator of ((-316)/720)/(((-1782)/(-55))/(-18)) and 3/(-6) + 69/(-16).
1296
Let c = -69 - -101. What is the lowest common multiple of c and 840?
3360
Let b = -1858 - -3139. Suppose 0 = -25*o + b + 519. Calculate the lowest common multiple of o and 88.
792
Let m be -6 - 352 - (-4 + 1). Let v = m - -2171/6. Calculate the common denominator of v and -33/200.
600
Let v(i) = 2*i**2 - 55*i + 297. What is the smallest common multiple of v(33) and 30?
660
Let t be (-4)/((3/4)/(663/(-136))). Find the common denominator of -29/30 and t/45 - (46 + -45).
90
Let u = 58 - 46. Suppose 2*q - u*q = 300. Calculate the least common multiple of (1 - 6/q)*10/3 and 20.
20
Let i(j) = 119*j + 643. What is the lowest common multiple of i(-2) and 81?
405
Let t(a) = 12517*a**2 + 2*a - 3. Let o be t(1). Let c = o + -337975/27. Let q = 96 + -2257/24. What is the common denominator of c and q?
216
Let h = -259/60 + 32/5. What is the common denominator of -4*(-5)/20 + 6/10 and h?
60
Let p = 68130839/234 + -291157. What is the common denominator of -89/26 and p?
234
Let l = 2173/504 - 35/8. Calculate the common denominator of -53/189 and l.
189
Suppose 6*c - 1306 = -202. Suppose -82 = -19*a + c. Calculate the lowest common multiple of a and 6.
42
Let o = 1468/171 - 218/19. Calculate the common denominator of o and -14*13/(-4) + (53 - 31 - 27).
18
Let l(w) be the third derivative of w**5/30 - w**4/24 - 37*w**3/6 - 33*w**2. Let u be l(6). What is the common denominator of 2 - (-6)/((-18)/u) and 53/33?
33
Suppose 5*o - 4*r = 472, 403 - 17 = 4*o + r. Calculate the lowest common multiple of o and 122.
5856
Suppose 24768*b = 24796*b - 15680. Calculate the smallest common multiple of b and 1232.
6160
Suppose -f = -4*f + 72. Let c(g) = -13*g - 543. What is the lowest common multiple of c(-42) and f?
24
Suppose 2*z + 1 = 11. Suppose z = f - 3*j, 2*f = -8*j + 4*j + 50. Suppose -10*l = -f*l + 21. What is the least common multiple of 38 and l?
114
Find the common denominator of -119/66 and 3155*(-4)/82368 - (-146)/949.
1584
Suppose -2*n + 96 = 2*n. Suppose -4*k + 2*z - 3794 = 0, -9*z + 14*z = -k - 921. Let q = k + 958. What is the least common multiple of n and q?
24
Calculate the common denominator of 2 + (7 - 4) + (-2 - 12/16) and 4/173.
692
Let a(q) = 3*q**2 - 25*q - 8. Let h be a(9). What is the least common multiple of 20 and 4/(-10) + h/(100/54)?
20
Let v = 11273543/426 - 52927/2. What is the common denominator of 13/568 and v?
1704
Let m = -2382875934875/1584 - -13524611641/9. Let q = 1606265 + m. Let v = q - 246/11. What is the common denominator of v and -119/10?
80
Suppose -23 + 177 = 7*d. Suppose d = 4*s - 6. Calculate the least common multiple of s and ((-4)/6)/(2/(-21)).
7
Let p(d) = -d**3 - 2*d + 14 + 0*d**3 + 30*d**2 - 28*d**2. Let w be p(0). Let t = w - -8. What is the least common multiple of 20 and t?
220
Let q(k) = -66*k + 97. Let s be q(7). Let n = s + 421. What is the lowest common multiple of n and 2?
56
Suppose 31*r - 28*r + 558 = 0. Suppose -1025*f = -1020*f - 100. Find the common denominator of f and (168/16)/(r/14).
62
Suppose 30*t - 6*t - 46 - 98 = 0. What is the lowest common multiple of t and 826?
2478
Let m(t) = t**3 + 10*t**2 + 12*t + 4. Let w = -181 - -176. What is the least common multiple of m(w) and 3?
69
Let p = 14327 - 974261/68. Calculate the common denominator of 4/26 + (-30390)/12480 and p.
544
Suppose 8 = -2*l - 2, 2*y - 3*l - 19 = 0. Find the common denominator of y*-1*1890/1344 and 25/138.
1104
Let r = -25751/14865 - 1/991. Suppose -42*s - 786 = -2256. What is the common denominator of r and ((-310)/(-45))/(s/21)?
15
Let p = 172/5085 - 246619/1027170. What is the common denominator of p and -127/30?
3030
Suppose -88352 + 16592 = 