(-6)/(-9) + (-372)/720 and -113/18.
180
Let k(f) = 4*f - 3. Let n be k(8). Suppose 31 = z - n. Find the common denominator of -7/18 and (-73)/z - 2/(-3).
180
Let w = 16721/17 - 983. Let x = 455/51 - w. Find the common denominator of x and -42 + 45 - (-48)/(-5).
15
What is the common denominator of (-7)/2*180/(-150) and 77/2?
10
Calculate the common denominator of (-41)/3*(-3)/8 and 9/(-33) + (-13428)/(-7128).
72
Let a = 6438566579417/394672806 + -2/17939673. Suppose -3*m - 65253 = 4*p, 5*p - m + 81610 = 4*m. Let q = p + a. What is the common denominator of -6/7 and q?
154
Suppose 52*l - 57*l - 3*z + 548 = 0, -564 = -5*l + z. What is the smallest common multiple of 12 and l?
336
Let d be 171340709709/(-120)*8/(-19915812). Let h = d - 2/4978953. Let f = h - 573. What is the common denominator of f and 97/10?
20
Let j = -8601 - -137569/16. What is the common denominator of 103/132 and j?
528
Calculate the least common multiple of (7 - (-91)/(-21))/((-3)/(-45)) and 18.
360
Let k(r) = -r + 19. Let v be k(18). Calculate the common denominator of (v/(-4))/(5/350) and ((-58)/(-10))/((-4)/(-5)).
4
Suppose -k + o + 27 = 5*o, 3*k = 3*o + 6. Let c(a) = 2*a**2 - a + 1. What is the lowest common multiple of c(2) and k?
7
Let b be (-9)/(-12)*(-159484)/(-6). Let v = 20359 - b. Let m = 5963/14 - v. What is the common denominator of m and 24?
7
Suppose 38 = -2*z - 14. Let o = z + -4. What is the common denominator of 8/20*(1 + o) and 35/6?
30
Let k be 284/(-11) - 6/33. Let b be (3/(-2))/((-1)/k). Find the common denominator of -52/9 and 7*-3*b/(-36).
36
Suppose 75*k = 86*k - 77. What is the least common multiple of k and 258?
1806
Let y be (-26)/169 - 74/26. What is the smallest common multiple of 0 + -16*(-1)/1 and (39/(-6) - -2)/(y/4)?
48
What is the common denominator of (-1)/3*(-354)/(-32) and (-7704)/48*(-3 + 110/36)?
48
Let a = -12041/7 + 1712. Find the common denominator of 117/40 and a.
280
Let h(l) = 115*l**2. Let c be h(2). Find the common denominator of c/(-32) + 4 - 1 and -117/28.
56
Let q(g) = g**2 + 4*g + 3. Let s be q(-6). Suppose 0 = 4*k - s - 1. Let v = 929 - 917. Calculate the smallest common multiple of v and k.
12
Let f be 10/(-28)*(-15446)/(-150). Let s = 471/14 + f. Find the common denominator of s and -45/2.
30
Suppose 2*m - 51 = 5*r, 3*r - 2*m = -m - 30. Calculate the smallest common multiple of 22 and (-147)/(-14)*(-24)/r.
308
Let a = 16839/280 - 411/7. What is the common denominator of a and 57/110?
440
Let m = 298 - 162. Calculate the smallest common multiple of 8 and m.
136
Suppose 2*s = s - 2, -a - 2*s = -45. Calculate the lowest common multiple of a and 28.
196
Let s = 2935 + -2899. What is the smallest common multiple of s and 3?
36
Let v = -159 - -529. Calculate the smallest common multiple of v and 55.
4070
Let y = -109799/12 - -9144. Calculate the common denominator of y and -77/54.
108
Let a = 8/13 + -574/975. Find the common denominator of a and 13/8.
600
Let x be 818111/50 - (-11)/(-22). Let f = x - 16364. Find the common denominator of f and -43/6.
150
Let o(f) = 11*f + 1. Let y(j) = -j - 1. Let d(x) = -o(x) - 2*y(x). Let a be d(7). Calculate the common denominator of 117/14 and a/(-9)*3/(-2).
42
Let z = -94 + 140. Let s be 0 + 1/(-1 - -2). Calculate the least common multiple of (s - -54)*(-8)/(-20) and z.
506
Let r(n) be the third derivative of 0*n - 1/6*n**4 + 3*n**2 + 0 + 1/6*n**3. What is the least common multiple of 10 and r(-1)?
10
Suppose 0 = 2*n - 7*n + 3*r - 40, -4*n = 2*r + 32. Calculate the common denominator of (-8)/(-36)*((-222)/n + 0) and (-6)/(-18) - (-298)/42.
42
Let m = 16652845/1757 + -9478. Let q = -170421/14056 + m. Calculate the common denominator of 9/2 and q.
8
Let n be (3/2)/((-9)/(-60)) - -2. Calculate the common denominator of (2*-1)/((-20)/97) and ((-3)/((-180)/(-3)))/(n/(-555)).
80
Let y(b) = b**2 - 24*b - 97. Calculate the smallest common multiple of 24 and y(-4).
120
Let k = -15 + 7. Let h = k - -10. Suppose -u - 7 = -h*u. What is the least common multiple of u and 11?
77
Suppose k = -4*k + 50. Let y be (30 - 0)*(-28)/(-6). Suppose n = -4*n + y. What is the lowest common multiple of k and n?
140
Let t = -136 - -129. What is the common denominator of (59/t)/((-4)/14) and -99/2?
2
Let d = 33 - 31. Suppose 0*p - 3*p - d*q = 0, -2*p - 2*q - 2 = 0. Calculate the lowest common multiple of 6 and p.
6
What is the common denominator of (-2)/16 - (1274/(-16))/(-7) and 113/12?
12
Let p(r) = -r**3 + 9*r**2 + 16*r - 54. Calculate the least common multiple of 62 and p(10).
186
Let i = 512 + -431. Calculate the least common multiple of 99 and i.
891
Calculate the common denominator of 47/12 and 375/252 - 2/14*-4.
84
Let x = 25 + -17. Suppose 3*n - 4*n + 18 = -2*j, -3*n - 4*j + 4 = 0. Calculate the least common multiple of x and n.
8
Let d = -44 + 31. Let p = d - -21. What is the least common multiple of p and 10?
40
Let k(y) = -66*y**3 + y**2 + 6*y + 5. What is the least common multiple of k(-1) and 30?
330
Let a be (-11 + -41)*1/(-4). Let r = a - -5. What is the least common multiple of r and 24?
72
Suppose -260*c + 248*c = -48. What is the lowest common multiple of 22 and c?
44
Suppose -149 = 3*r - 209. Calculate the smallest common multiple of r and 12.
60
Let v be (-592)/72 + (-2)/(-9). What is the lowest common multiple of 19 and 4/8 - 12/v?
38
Find the common denominator of ((-4929)/(-424))/(1 + (-6)/(-4)) and 59/30.
60
Let j(m) = -m**2 - 12*m - 26. Let l be j(-8). Find the common denominator of -65/12 and 4 - l - 93/4.
12
Let u(o) = o**2 + 4*o - 5. What is the smallest common multiple of u(5) and 2*(168/(-16) + 6)*140/(-21)?
120
Suppose -3*j = -4*l - 40, -5*j - l + 84 = l. Suppose j*m - 13*m = 6. Let f = 20 + -14. What is the least common multiple of f and m?
6
Suppose -2*q - 2*x = -11 - 25, 0 = 4*q + x - 81. What is the lowest common multiple of (-1)/3 + 495/27 and q?
126
Suppose -9 = -4*o + 5*o. Calculate the least common multiple of (-9)/(o/10) + 0 and ((-14)/4)/((-3)/6).
70
Let f be -10 - 4/(16/(-12)) - -3. Find the common denominator of 0 - ((-10)/18 - 2) and (f - (-19)/7)*(-7)/(-2).
18
Calculate the common denominator of 2555/210 + -2*5/(-2) and 13/92.
276
Let r be 6081/(-12) + 2/2. Let o = 626 - 129. Let z = o + r. Calculate the common denominator of z and 97/24.
24
What is the common denominator of 42/189 - (-372)/(-297) and 77/12?
132
Let a = 324827/20 + -16246. Let z be 401 + 4/(-1 + 5). Calculate the common denominator of a and ((-6)/(-108))/(4/z).
60
Let p = 23 + -35. Let r = -681/266 - -31/19. What is the common denominator of (p/(-8))/((-15)/53) and r?
70
Let c(f) = f**2 - 12*f - 1. Let a be c(12). Let n = -3 - -9. Calculate the lowest common multiple of -1 - (-7 + 3 + a) and n.
12
Let r(l) = l**2 - 2*l - 68. Let p be r(9). Suppose -5*f + 0*f = -5*y + 95, -86 = 4*f - 2*y. Find the common denominator of ((-3)/f)/(p/(-4)) and -55/34.
170
Calculate the least common multiple of 70 and 56*(-6 + 2)/(-4).
280
Find the common denominator of (1/(-4) - (-3056)/64)*1 and 8/3.
6
Let a(z) = 15*z - 1. Let j be a(-1). Suppose -3*k + 4*k - 4*h = -16, -k + h - 1 = 0. Calculate the smallest common multiple of (2*j)/(-3 + 1) and k.
16
Let b = 488977/75 - 6519. Find the common denominator of 121/30 and b.
150
Let b = -7 - -15. Let c(u) = -u**3 + 2*u**2 + 8*u + 2. Let t be c(4). Suppose 0 - 4 = -t*i. Calculate the least common multiple of b and i.
8
Let c = -2876 + 25834/9. Calculate the common denominator of 113/12 and c.
36
Let n(p) = -p**3 + 45*p**2 - 42*p + 161. What is the least common multiple of 33 and n(44)?
2739
Let m(h) = h**3 - 8*h**2 + 8*h - 10. Let o be m(7). Calculate the least common multiple of 5 and o/(-1) - -4 - 4.
15
Suppose 0 = -5*s + 4*k + 182, -5*k - 180 = -8*s + 3*s. What is the smallest common multiple of 342 and s?
342
Suppose -15 = 3*v, 112*w = 113*w - 3*v - 42. Calculate the least common multiple of 315 and w.
945
Let a = 5603/240 + -70/3. Calculate the common denominator of -87/112 and a.
560
Suppose -5*x - 5 = 0, 2*v + 2*v + 2*x - 14 = 0. Let t be 2/(-7) - 172/(-14). What is the lowest common multiple of (2 + 1)/(2/t) and v?
36
Suppose 3*d + 2*d - 19 = -3*c, -3*c + 28 = -4*d. Suppose -2*g + 1 = 3*v, 4*g + 2*v = 4*v - 6. Calculate the lowest common multiple of 2/(-1 + g)*-3 an