. Calculate the lowest common multiple of u(-4) and 7.
56
Let f = 1 + -37. Let c be (-6)/(-8) - (-12003)/f. Let x = c - -349. Find the common denominator of x and 33.
3
Let x = -3149/8 - -395. Let w = -1488/11 - -14583/110. What is the common denominator of x and w?
40
Suppose -17 = 2*k - k. Let z = -31 - k. Find the common denominator of (16/(-20))/(z/(-55)) and -74/3.
21
Let r(i) = 337*i + 1. Let w = 11 + -9. Let x be r(w). Calculate the common denominator of 1/(-24)*x/(-18) and 63/4.
16
Let k be (-17 + -1)/(9 + 87/(-9)). What is the least common multiple of 9/(k/24) - 1*-3 and 1?
11
Let t = 939/8 - 6137/56. Let s = -14753/6860 + 1/1715. What is the common denominator of s and t?
140
Let b = -554/3 - -841/6. Find the common denominator of (-133)/18 + 6/12 and b.
18
Suppose 192*g = 1800 - 264. Calculate the smallest common multiple of (-80)/(-14) - (-4)/14 and g.
24
Let z(n) = -2*n**2 + 36*n - 22. Let s be z(17). Find the common denominator of -73/3 and 8/(-44) + s/308.
21
Let s = -18401/7116 + 3/1186. What is the common denominator of 9/14 and s?
84
Let m(h) = h**3 - 2*h**2 + 3*h - 2. Let o be m(2). Let y(i) = 3*i - 3. Let z be y(o). What is the smallest common multiple of ((-54)/12)/(z/(-12)) and 2?
6
Let x(d) = 28*d - 240. Calculate the least common multiple of 13 and x(9).
156
Let b be (-14334)/(-322) + (2 - 4). Let f = b - 5/322. Let d = -2865/448 + 351/64. Find the common denominator of f and d.
56
Find the common denominator of 38/(-10) - (-10 + 18) and 59/50.
50
Let h = 12 - 12. Suppose -n + h*g - 2*g = -28, -4*g + 78 = 3*n. Find the common denominator of -65/96 and n/(-66) + (-241)/(-12).
96
Let t be 22012/(-76993) - 2/(-7). Let g = -538987/197982 - t. What is the common denominator of 20 and g?
18
What is the smallest common multiple of 137 and -9*(7 + 770/(-99))?
959
Let i = -41 + 71. What is the least common multiple of i and (-27)/(-3) + 4 + (-9 - -2)?
30
Let d = 315 - 219. Calculate the smallest common multiple of d and 34.
1632
What is the smallest common multiple of 4 + (378/(-72))/((-3)/20) and 7?
273
Let g = 86 + -61. Suppose 3*p - 54 = -4*m, 2*m + 3*p - 5 = g. Calculate the lowest common multiple of m and 2.
12
Suppose -z = 2*y + 3*z - 14, -3*y + 36 = z. Suppose -y - 47 = -4*v. Suppose 2*q + s + 4 = 13, 2*q + 3*s = v. What is the lowest common multiple of 12 and q?
12
Let i = 1/2098 - -118525/25176. Calculate the common denominator of (-979)/(-110)*10/6 and i.
24
Suppose -18 = n - 5*y, -n - 3*y = -6*y + 10. Let a = 6 + n. What is the common denominator of (-154)/a - (-2 - -5) and -81/20?
20
Let l(h) be the first derivative of 2*h**3/3 - 3*h**2/2 + 5*h + 9. Calculate the smallest common multiple of 14 and l(3).
14
Let q(k) = k - 5*k**2 + 8*k**2 + k**3 - 8*k**3 + 8*k**3. What is the smallest common multiple of q(-2) and 17?
34
Let a(y) = -y**3 + 12*y**2 + y - 7. Suppose -u + 53 = 3*t + t, 3*t + u - 41 = 0. Let h = -6 + 10. What is the smallest common multiple of a(t) and h?
20
Suppose -3*t - 29 = 2*l - 12, 0 = -4*t - 4*l - 16. Let m(b) = -2*b - 4. Calculate the smallest common multiple of 12 and m(t).
84
Let b(f) = f**2 - f - 16. Let g be b(-4). Suppose -g*o - 8 + 52 = 0. Calculate the least common multiple of o and 16.
176
Let o be (-2)/(-10) + (-272)/10. What is the smallest common multiple of (-2)/(-6) + (-180)/o and 7?
7
Let t be (-5)/(-15)*(1 - -29). What is the lowest common multiple of 60 and 6/(-5)*(-5)/3 + t?
60
Let h be 8010*(-3 - (-238)/78). Let v = -409 + h. Let j = v + 253/26. What is the common denominator of 17/6 and j?
6
Suppose -3*m - 5*f = -119, -2*m - 4*f = -54 - 28. What is the lowest common multiple of m and 117?
1287
Let z be ((-2 - 2) + 5)*-3. Let v be ((-6)/z)/((-1)/(-4)). Suppose 2*x = -v + 2. Find the common denominator of x and 70/3.
3
Suppose -2*h = -0*h - 12. Calculate the common denominator of (6/(-64))/(h/(-124)) and 7 - (505/40 - 1).
16
Let h(f) = 67*f**3 - 3*f**2 + f + 1. Let r be h(1). Let z = r - 27. Let w = 4/1445 + -44831/13005. Find the common denominator of w and z.
9
Let h be 0/(1/((-1)/(1 + 1))). Calculate the common denominator of ((-6)/15 - h)/(160/(-525)) and 99/20.
80
Suppose 0 = -77*m + 23*m + 378. What is the smallest common multiple of 61 and m?
427
Suppose -4*m - 3*p + 50 = -10, 4*m + p - 60 = 0. Suppose -4*u = -5*k + m + 13, 3*k - 2*u - 18 = 0. Find the common denominator of -25/18 and 73/k - (-8)/(-32).
72
Suppose 6 = 4*z - 10, 0 = 4*r + 4*z - 76. What is the lowest common multiple of 204 and r?
1020
Let k = 1 + 11. Suppose -2*f = 5*f - 378. Let i = f - 48. What is the least common multiple of i and k?
12
What is the lowest common multiple of 12 and (-1 + 21)*1155/275?
84
Let j = -2021/84 + 190/7. What is the common denominator of j and 131/234?
468
What is the common denominator of 38/11 and (5/(-10))/((-1937)/754)?
1639
Let k = -52 - -55. Find the common denominator of -8 and 2/k - (-5 - (-172)/96).
8
Let c be (-10 - -11)/((-2)/(-10)). Suppose 0 = 4*f - 8, -c*a + 57 = -0*f + f. Calculate the least common multiple of a and 19.
209
Suppose -c + 4*c = -2*a + 17, -c = a - 8. Calculate the least common multiple of a and 63.
63
Calculate the common denominator of 16/63 and 6 + (-795)/175 - 3.
315
Let p be (-34)/(-5)*187/(-2). Let d = p - -639. What is the common denominator of d and (0 - 36/7) + -2?
35
Let j = -6 - 0. Let r = 7919 + -126787/16. Calculate the common denominator of (-2)/j - 530/(-48) and r.
16
Suppose 4*q - 4 = p, -2*p + 4*p - q + 36 = 0. Calculate the least common multiple of p/3*11/(55/(-6)) and 11.
88
Let w = 432367/18 - 24012. Let l = 3115/268 + -25/67. What is the common denominator of l and w?
36
Let u = 2/12537 - 1115833/250740. Calculate the common denominator of 93/28 and u.
140
What is the lowest common multiple of 32 and -3 - (6 + (-200)/5 + -1)?
32
Let t be (0 - 0) + 10944/99. Let c = t - 109. What is the common denominator of c and -2/7?
77
Let x = 12 - 6. Let b(l) = l - 4. Let c be b(x). Suppose 5*p - 5 = 5*a, 3*a = c*p - 5*p + 15. Calculate the lowest common multiple of 6 and a.
6
Let m be -2*(-5)/5 + 2. Suppose -m*z - 12 = q - 4*q, 4*q + 2*z = 16. What is the lowest common multiple of q and 12?
12
Let o = -18 + 12. Suppose 0 = -z + 2*x + 3 + 1, 2*z + 3*x - 22 = 0. What is the least common multiple of z and 10/10*(-1 - o)?
40
Let o(p) = -p**2 + 9*p - 2. Let a(l) = -l**2 - 9*l - 17. Let i be a(-8). Let x be o(i). Calculate the common denominator of (-4)/18 + x/36 and 38/11.
99
Let t be 32 + (9/3 - 2). Let k = t - 32. Calculate the lowest common multiple of k and 1.
1
Suppose -11*i = -7*i + 44. Let j(l) = -l**2 - 14*l - 5. Calculate the least common multiple of j(i) and 14.
28
Suppose n = -2*n + 353283. Let d = n - 6478783/55. Let r = d - -158/5. Find the common denominator of 59/7 and r.
77
Let o = -40/49 + 2489/588. Find the common denominator of o and ((-242)/(-10))/((-18)/5).
36
Suppose 0*g - 4*g = 16. Suppose 6*w = 2*w + 16. Calculate the smallest common multiple of w and (9/(-12) - 1)*g.
28
Suppose 13*s - 1632 = -1567. Let q = 17 - 11. Suppose 2*z - q*z + 32 = 0. Calculate the lowest common multiple of z and s.
40
Let o = 398 - 389. Calculate the smallest common multiple of o and 88.
792
Let y be 13715/(-12)*145398/285. Let b = -583074 - y. Let j = b + -174/19. Calculate the common denominator of j and 57/7.
42
Let q(r) = -2*r**3 - 4*r**2 - 2*r. Let y(z) = z + 1. Let n be y(-3). Suppose -6*p + 15 - 9 = 0. Calculate the lowest common multiple of p and q(n).
4
Suppose -2*v - 88 = -2*g, -26 = -g + 5*v + 2. Suppose -3*l = l - g. Calculate the least common multiple of l and 20.
60
Let p = -178 + 182. Calculate the lowest common multiple of p and 52.
52
Let n be (5 + (-5)/2)*(1 + 1). Suppose -n*j + 401 - 1 = 0. What is the lowest common multiple of j and 10?
80
Let b(g) = g**2 + 6*g - 10. Let t be b(-10). Let p = -24 + t. What is the least common multiple of p and 40?
120
Suppose -5*l + 0*x + x + 23 = 0, -3*l + 2*x = -18. What is the common denominator of ((-23)/(-4))/((-5)/(-2)) and 0 + (l - 1)*43/(-45)?
30
Suppose -94 - 2633 = -3*f. Let k be (-24)/56 - f/231. Let x = -248/77 - k. What is the common denominator of x and 19/5?
35
Suppose 0 = 6*g + g - 28. Suppose 6*l - 4*l = -2*h + 14, -3*h + 13 = l. Suppose w + h*w = 32. Calculate the smallest co