 = -18/3079 - -105602/1210047. Let o = i - z. Calculate the common denominator of o and -49/12.
12
Suppose 3*r - 3*g = -240, g + 12 = -4*r - 318. What is the common denominator of 4/4 + r/(-16) and (-3220)/2400*6 - (-1 - 4)?
40
Let w(y) = y**2 - y + 1. Let z(j) = 4*j**2 + 24*j + 2. Let c(x) = 3*w(x) - z(x). Calculate the lowest common multiple of c(-26) and 108.
108
Let a(n) = -12*n**2 + 100*n - 14. Let z(j) = j**2 - 15*j + 34. Let u be z(13). What is the lowest common multiple of a(u) and 27?
54
Suppose 882 = 23*g - 37*g + 21*g. Calculate the smallest common multiple of 2646 and g.
2646
Let w(i) = -i**2 - 3*i + 102. Let j be (-288)/36 - (-1 + 7)/2. Calculate the lowest common multiple of w(j) and 70.
70
Suppose 4*s - 8 = 0, 86*o - 3*s - 5454 = 83*o. What is the least common multiple of o and 8?
3640
Calculate the common denominator of (1/(-6) - 253/(-561))*-3 and (-117)/6*5/(-35)*-2.
238
Suppose j - 13 = 2*o - 5*o, 4*o + 3*j - 24 = 0. Suppose -17*p = -20*p - o. What is the lowest common multiple of 2 - (0 + (8*p)/2) and 30?
30
Let c(i) = -i**3 + 4*i**2 + 12*i - 7. Let s be c(6). Let h(j) = -j**2 - 12*j + 16. Let z be h(s). Let k = z - 39. What is the least common multiple of k and 7?
84
Suppose 3*u + 2*z = 2329, 0*u - 5*u - 4*z = -3881. Let i = -1475/2 + u. What is the common denominator of ((-66)/10)/3 + -1 and i?
10
Let s = 533 - 375. Suppose 3 = -b - 2*b, -3*k = 4*b - s. Calculate the smallest common multiple of k and 54.
54
Suppose -88 = -0*m - 2*m. Let i = -991 + 973. What is the lowest common multiple of 48 - -18*12/i and m?
396
Let q(m) = -2*m + 1. Suppose 4*v + 5 = -v. Let r be q(v). Suppose 26 = 3*w + x - r, -2*w + 21 = x. What is the smallest common multiple of 15 and w?
120
Calculate the lowest common multiple of 511 and (117/(-18) + 6)*-1606.
5621
Suppose -42*l + 106 = -41*l + 5*b, 4*b = -2*l + 182. What is the lowest common multiple of l and 144?
1296
Suppose 0 = 3*u - 3, 4*u = m - 6*m - 36. Let k = -22 + m. Let w = -31 - k. Find the common denominator of -7/2 and w.
2
Let r be 1*-2*20/10. Let a be 5 + -3 - (-3 - r). What is the common denominator of 81/8 and (-96)/36*14/(-6)*a?
72
Let j(u) = -u**2 + 6*u - 5. Let l be j(4). Suppose -92*g - 5 = -6 + 1. Suppose 0 = -g*t + l*t - 24. What is the least common multiple of t and 22?
88
Suppose -4202 = -15*x + 1798. Calculate the smallest common multiple of 20 and x.
400
Let p be (2 - 6/3) + (4 - 4). Let g be (-2636436)/144 - (p + 1). Let j = -18320 - g. Calculate the common denominator of j and -29/12.
12
Let c(u) = u**3 + 10*u**2 + 8*u - 6. Let o be c(-9). Suppose 9 = o*m - 18. What is the smallest common multiple of m and (6/10)/((-59)/(-885))?
9
Let s = -211/348 + 2/87. Calculate the common denominator of s and 2/(-18)*470/50.
180
Suppose 12*p + 1 = -8*p + 41. Let f(w) = w**2 - 2*w + 3. Calculate the least common multiple of p and f(-5).
38
Suppose 336 = 33*m - 12*m. Suppose 0 = -18*c + m*c + 72. Calculate the smallest common multiple of 48 and c.
144
Suppose 864 = 222*a - 214*a. What is the least common multiple of a and 212?
5724
Let q = 10834937/212612208 - -4/282729. Find the common denominator of q and 33/10.
11280
Let q = 454516531/1107 + -410584. Find the common denominator of q and 25/6.
2214
Find the common denominator of (208/12 - -2)*(-2)/25788*-7 and 21/1535.
13815
Suppose 0 = -12*q - 6*q + 3795 - 447. Calculate the smallest common multiple of 60 and q.
1860
Let q(s) = -27 - 128*s**2 - 123*s**2 - 24*s + 248*s**2. What is the smallest common multiple of 826 and q(-6)?
7434
Let s = -372 + 390. Calculate the smallest common multiple of 21516 and s.
64548
Suppose 4*l + 493 = 5*n, 0*l + l - 95 = -n. Let k = -58/13 - 171/52. Calculate the common denominator of k and ((-12)/8)/((-9)/n).
12
Let c = -37353 + 40938903/1096. Find the common denominator of 38/1233 and c.
9864
Let q = 16337 + -46319/3. Let z = q - 46669/52. Let x = -27/377 - 26173/8294. What is the common denominator of z and x?
1716
Let d = -133545079863804887/221870 - -601906881792. Let h = -2/66561 - d. What is the common denominator of 10/(-48)*(-2)/10 and h?
120
Suppose -v + 13 = -2. Let h = v + -5. What is the least common multiple of ((-64)/(-10))/(((-8)/(-50))/((-2)/(-5))) and h?
80
Let k = -932881/115 + 4269/23. Let s = k + 1109573/140. Find the common denominator of s and -32.
140
Let h = 46 + -22. Let o be (0 - 0)*(10 + -11). Suppose -27 = -o*v - 3*v. What is the smallest common multiple of v and h?
72
Calculate the lowest common multiple of (45/(-8))/(15516/288 - 54) and 7155.
7155
What is the common denominator of ((34 + -31)*237/162)/(14/2) and -53/231?
1386
Suppose -2 = -v - 4*n, 4*v - 4*n + 13*n = 29. Let f(k) = k**2 + 2*k + 2. Let i be f(-2). Suppose i*b + 2*b = 8. What is the lowest common multiple of b and v?
14
What is the smallest common multiple of (-14)/35 + (-1584)/(-10) and 7 + 3 + -7 + 7?
790
Suppose 3*s + 3*y - 12 = 0, 5 - 11 = -s - 3*y. Find the common denominator of 2764/2464 - ((-124)/(-44) - s) and -49/20.
280
Let r = -23132 - -508817/22. What is the common denominator of r and 34/91?
2002
Let b = 8557 + -8507. Calculate the least common multiple of 2400 and b.
2400
Let z = -97 + 101. Suppose 2*y = 2*u + 3648, -z*u = -2*y + y + 1830. What is the common denominator of -41/14 and (-18)/117 + 2*y/(-7072)?
952
Let h = 1/121 - 1831/1936. What is the common denominator of -9/130 and h?
1040
Let x = 47 - 215. Let s = x - -224. What is the least common multiple of s and 24?
168
Let s(b) = -b**3 + 32*b**2 - 54*b - 95. Let g be s(30). Let v = g + -30. What is the least common multiple of 120 and v?
1320
Suppose -4*s + s = -27. Let p(c) be the first derivative of c**4/2 + c**3/3 - 98. Calculate the lowest common multiple of s and p(1).
9
Let t(x) = -12*x**3 - 192*x**2 + 10*x + 164. Calculate the lowest common multiple of t(-16) and 10.
20
Suppose -37 - 143 = -9*k. Find the common denominator of 3047/165 - (-4)/k and 64/(-11) + 6/3.
33
Let r = 2452 - 2382. What is the least common multiple of 1645 and r?
3290
Let j = -52 - -66. Suppose j*b - 48 = 6*b. Find the common denominator of ((-197)/2 - (-24)/16)/b and -13/22.
66
Suppose -5*o - 8 = 4*a + 4, -14 = -3*a + 2*o. Suppose -3*t + 19*t - 2880 = 0. Calculate the smallest common multiple of a and t.
180
Let y be -11 + 9 + 1 + 2379/3. What is the common denominator of y/(-16)*3/(-42) and -85/12?
84
Let b = 1/6398 + 2520807/31990. Let k = 25012/315 - b. Find the common denominator of k and 107/72.
504
Let m be (23 - 27)*(-3)/(-12). Let u = 16/23 - 487/667. What is the common denominator of (5 - m)/((832/39)/8) and u?
116
What is the common denominator of 2 - 0 - 246/128 and ((-23)/(23552/112))/((-135)/66 + 2)?
64
Let d be 5185/(-90) - 3*1/18. Let i = 58 + d. Find the common denominator of (57/(-7))/(16/(-28)) and i.
36
Calculate the least common multiple of -74 + 88 - (-4 - -1) and 4.
68
Let n = -44 - -47. Suppose -5*d - 104 = -4*o - 1307, -d = -n*o - 894. Let w = 880/3 + o. What is the common denominator of -5 and w?
3
Let p = -33 + 31. What is the smallest common multiple of 16 and 1/p*(-413 + -23)?
1744
Let l(b) = -16*b - 77. Let k be (-3)/6 - 117/18. Calculate the lowest common multiple of 21 and l(k).
105
Suppose -3*b = 2*b - 2*b. Let g(p) = 3*p + 4. Let q be g(b). What is the common denominator of q - (2 - 75/(-8)) and -77/54?
216
Suppose 0 = 29*i - 24*i. Suppose i = -8*a - 2*a + 160. What is the smallest common multiple of 36 and a?
144
Suppose -282 = 8*s + 902. Let g = -129 - s. What is the least common multiple of 6 and g?
114
Find the common denominator of 51/50 and ((-399)/450 - -1) + 105/630.
50
Let o = 6508 - 624805/96. What is the common denominator of -83/2400 and o?
2400
Let g = 4131 - 3427. Calculate the least common multiple of g and 132.
2112
Suppose 3*b - 2*x + 2 = 0, -3*b - 4*x + 4 = -0*b. Suppose b = 3*i - 3*v - v - 52, -2*i - 4*v = -48. What is the smallest common multiple of i and 22?
220
Calculate the common denominator of -63/2816 and 27/792*(276/64 + -2).
2816
Let j(x) = 3*x**2 - 4*x - 5. Let n be j(-1). Suppose -2*i + 2*f + 12 = 0, 4*i - n*f + 3 = 33. What is the least common multiple of i and 3?
9
Let s be (22 + -23)/(-1 - (0 - -2228)). Let r = 140437/22290 - s. Find the common denominator of r and -9/16.
80
Suppose 4539