 = 651/10 - 63. What is the common denominator of x and f?
80
Let y(u) = -2*u**2 - u + 4. Suppose -13 = 5*q - 23. Suppose q*f + 3 = f. What is the common denominator of 55/6 and y(f)?
6
Suppose -6*i = -5*h - 4*i + 677, 133 = h + 2*i. Calculate the smallest common multiple of h and 6.
270
Let o = -11278 + -3410. Let u = o - -411211/28. What is the common denominator of u and 119/12?
84
Let z(c) = -42*c - 4. Let g be z(-6). Let j = -784038/7 - -112257. Let b = j - g. Calculate the common denominator of b and 48.
7
What is the common denominator of 19/76 - 133/(-20) and 27/484?
2420
Let u = 4/137 - -3659/1370. What is the common denominator of 89/6 and u?
30
Let d be 16/(-6)*(-1 + -2). Let y be (2*1)/(d + -6). Calculate the lowest common multiple of (-42)/(-24)*y*4 and 9.
63
What is the common denominator of (103/(((-5)/5)/1))/(-42) and -59/77?
462
Suppose -4*j - 4*o - 2592 = 0, 0 = j - 5*j + 4*o - 2560. Calculate the common denominator of -1 + (-3 - j/240) and -43/2.
60
Calculate the least common multiple of 7 and (-2 - (-3464)/34) + 24/204.
700
Let w be (-3 + 13/1)/((-3)/(-379)). Let n = w - 6296/5. Calculate the common denominator of 99/14 and n.
210
Suppose 125*p = 623 + 627. Let f = 24 + -12. Calculate the smallest common multiple of p and f.
60
Let x = 68131/25 - 2725. Calculate the common denominator of -36/85 and x.
425
What is the common denominator of -21/10 and ((-90)/10)/((-132)/(-15))?
220
Let f = 6794/15 - 148/5. Let i = f - 4867/12. Find the common denominator of i and (22/(-2))/((-212)/(-44) + -3).
20
Let u be (1 + -7)*(-385)/10. What is the common denominator of 1/11 and u/4*24/(-180)?
110
Let g(x) = -x**3 + 5*x**2 + 14*x + 47. What is the lowest common multiple of g(-4) and 108?
540
Suppose 4*y + 3*b = -9, -3*y - 4*b + b = 3. What is the common denominator of 109/6 and (y/15)/((-96)/40)?
6
Let b = -487136/33 - -14763. Find the common denominator of 145/6 and b.
66
Let p = -2691 + 18793/7. Find the common denominator of p and -67/10.
70
Let c be (4/6)/((-4)/6). Find the common denominator of -26/5 and -2 + 150/46 - c.
115
Suppose 7*p - 4*p = 15. Calculate the smallest common multiple of p and 32.
160
Let x = 40 - 45. Calculate the smallest common multiple of 20/(-25)*(x/2)/1 and 52.
52
Let f(q) = -8*q - 2. Let y be f(-4). What is the common denominator of (17/(-3))/(2/(-4)) and (-88)/y + 1 + -2?
15
Let q be 7/(28/(-8)) - -62. Suppose 3*c + q = -2*c. What is the least common multiple of ((-16)/c)/((-5)/(-45)) and 10?
60
Let w = -3 - -11. Suppose 48*k - 93*k = -90. What is the smallest common multiple of k and w?
8
Suppose -34*d + 27*d = -609. What is the smallest common multiple of 8 and d?
696
Suppose 119 - 108 = t. Suppose -5*q = -t - 29. What is the smallest common multiple of 44 and q?
88
Let j = 2310 + -1258. Let k = j + -8439/8. What is the common denominator of k and 21/10?
40
Find the common denominator of (6/((-432)/678))/(1 - -2) and 93/196.
1764
Let p(y) = -129*y + 1. Let m be p(-4). Let c = m - 2549/5. Let j = 2/213 + -167/142. Calculate the common denominator of c and j.
30
Let j be 5/(-20) - (-18197)/4. Let m = j - 45451/10. Find the common denominator of 83/38 and m.
190
Suppose 2*g = 3*w + 10, 0*g = 2*g - 4. Calculate the smallest common multiple of -1*(-1 - w) + 3 and 4.
4
Let d(a) = -3*a**2 - 89*a + 34. Calculate the least common multiple of 144 and d(-30).
144
Let h = -313229/18 + 17396. Calculate the common denominator of h and (18/65)/(7 + 4980/(-700)).
234
Let w be ((-2)/2 + 3087)/2. Let m = -7176/107 + 694351/428. Let i = m - w. Find the common denominator of 25/8 and i.
8
Let f = 179 - -31. Suppose -5*s + 8*s - f = 0. What is the common denominator of 40/11 and 120/s + (1 - 0)?
77
Suppose -o - 5*j + 47 = -0*j, 2*o + 2*j = 54. Let y = -14 - -16. Suppose -y - 12 = -n. What is the smallest common multiple of o and n?
154
Let r = -57 - -78. Let x = r + -18. What is the least common multiple of 28 and x?
84
Suppose 5*t - 16 = w + 9, -4*w - 5*t + 25 = 0. Suppose -5*b = -w*b - 15. Calculate the least common multiple of 6 and 13 + (4 - 9) + b.
66
Suppose -2*j - 14 = 3*f, f - 2*j - 2*j + 28 = 0. Calculate the common denominator of -23/76 and (10/f)/((-24)/(-156)).
152
Let n(g) = 2*g**3 - 3*g**2 - 9*g + 4. Let b be n(-2). What is the smallest common multiple of 15 and (9/b*31)/((-5)/10)?
465
Suppose 9*w - 233 = -179. Let c(k) = 6*k - 4. Calculate the smallest common multiple of c(3) and w.
42
Let v(s) = -4*s - 30. Let q(g) = 3*g + 20. Let l(t) = -7*q(t) - 5*v(t). What is the least common multiple of l(8) and 10?
10
Find the common denominator of -57/65 and -5 - ((-4)/(-130))/((-4)/602).
65
What is the common denominator of 51/2 and 710/2505*(-12)/(-16)?
334
Let p be ((-6)/2)/((-5)/(-18330)*-2). Calculate the common denominator of 2/(-7) + p/3640 and -3.
40
Let m(k) = -k**2 - 12*k - 28. What is the smallest common multiple of m(-8) and 9?
36
Suppose 5*q + 37 + 68 = 3*i, 5*i - q = 153. Calculate the least common multiple of (-5 - -1)/((-92)/506) and i.
330
Suppose -2*o + 3*x + 75 = -260, -4*o + 4*x + 668 = 0. Let a be 38/(-6)*114/(-4). Let l = o - a. Find the common denominator of l and 9/22.
22
Calculate the lowest common multiple of 246/8 + 15/12 and 44.
352
Suppose -4*n + 6*n - 2 = 0. Let o be 2/(-1)*n/1. Find the common denominator of 79/6 and (3/o)/(2/(-26)).
6
Let n = 71/145 + 10331/3480. Let z be (-10)/(-25) + (-47354)/60*1. Let w = z - -787. Find the common denominator of w and n.
24
Let a = -523 + 10339/20. Find the common denominator of 43/274 and a.
2740
What is the common denominator of -58/21 and 386/24 - (3 - (-33)/(-12))?
42
Suppose 14*l - 143 = 53. What is the least common multiple of l and 5?
70
Let f(z) be the first derivative of -2*z**2 - 2*z - 1. Let p = 45 + -38. What is the lowest common multiple of f(-2) and p?
42
Let n be 34/5 - 4/(-20). Let q(r) = -3*r + 1. Let j be q(2). Let t = n + j. Calculate the smallest common multiple of 20 and t.
20
Let m(q) = 11*q**2 - 7*q + 3. Let b be m(3). Let c be (-2898)/b + 4/(-18). Find the common denominator of 52/9 and (-160)/c - 3 - 2.
9
Let d = 6860868509/30 + -228675106. Let q = -20514 + d. Calculate the common denominator of q and -1/21.
210
Suppose -4*s = -w - 3*w - 164, -w - s = 31. What is the least common multiple of 16 and 3/18*-2 + w/(-27)?
16
Calculate the common denominator of 19/212 and 819/(-280) - 12/(-32).
1060
Let s(r) = r**3 - 3*r**2 - 6*r + 10. Suppose 4*f - 62 = -5*u, -5*f + 0 = -4*u + 25. What is the lowest common multiple of u and s(4)?
10
Let x = -207/5 - -1567/30. What is the common denominator of x and 41/70?
210
Calculate the smallest common multiple of (-12)/((45/93)/(-5)) and 4.
124
Suppose 5*k + 102 - 27 = -5*t, 0 = -5*t - 15. Let w(s) = 12*s + 9. Let q be w(-8). Find the common denominator of 31 and 3 + 1/(k/q).
4
Let l(i) = 27*i - 8*i - 33 - 13*i. Suppose o + 3 - 5 = 0. What is the least common multiple of o and l(7)?
18
Let x = 10 + -1. Let a = 118 - 68. Suppose -4*v = 6 - a. What is the lowest common multiple of v and x?
99
Let b = -31674 - -4275926/135. What is the common denominator of -53/45 and b?
135
Find the common denominator of -29/23 and (-48)/42*1183/390.
345
What is the common denominator of 89/14 and (-8)/((-2976)/(-30))*(-21)/(-6)?
868
Suppose 76*j = 75*j + 9. Let w(y) = -5*y + 1. Let q be w(-1). Suppose -18 = -3*n + q. Calculate the lowest common multiple of j and n.
72
Let u(v) = -v**3 + 5*v**2 + 3*v - 8. Suppose -12 = -5*s + 8. Calculate the smallest common multiple of 18 and u(s).
180
Suppose 0 = -2*p + 4*m + 72, 2*p - 4*m - 65 = -7*m. What is the lowest common multiple of 11 and p?
374
Let l = 102 - 326/3. Let h(m) = 93*m - 1. Let v be h(1). Find the common denominator of l and 9/(-6)*v/8.
12
Suppose -4*q = 2*j - 587 - 29, -j + 5*q = -287. Calculate the lowest common multiple of j and 20.
3020
Suppose 3*d - 7*d - 16 = 0. Let v be d*(2 + 6/(-4)). Find the common denominator of ((-121)/26 - -3)*v and -91/6.
78
Let d = 1877/18 - 23143/225. Calculate the common denominator of -123/50 and d.
50
Let c = -10613 + 902093/85. Let n = -1323/340 - c. Calculate the common denominator of 49/22 and n.
44
Let j(s) = -6*s - 8. Let u be j(-4). What is the lowest common multiple of u/28 - (-38)/7 and 10?
30
Let o(y) = y**2