f 29 and 65 - (4 + 2*(-3)/1).
1943
Calculate the common denominator of 16/72 + (-2030)/792 and (8 + (-27)/3)*(-14)/64.
352
Suppose -111*l + 122*l - 484 = 0. What is the least common multiple of 72 and l?
792
Suppose 3*w + 4 = -i, 0 = -3*i + 4*i - 3*w - 14. Let u(d) = 6*d - 2. What is the smallest common multiple of i and u(2)?
10
What is the common denominator of (-8 + 16)/(-8) + (-363)/18 and ((-6)/(-234))/(3/(-57))?
78
Let w be -19 + (0 - 4 - -4). Let m = w - -41. What is the smallest common multiple of m and 10?
110
Suppose 0 = -102*q + 98*q + 216. What is the smallest common multiple of 21 and q?
378
Let z(y) = -8*y + 57. Suppose -o = 4*p - 28, 49 = 4*p + 5*o + 5. Let r(a) = 8*a**2 - a. What is the smallest common multiple of z(p) and r(-1)?
9
Let n(f) = 59*f + 271. What is the smallest common multiple of 8 and n(9)?
3208
Let y = -6437/16 - -277123/688. Find the common denominator of 71/430 and y.
860
Let g(k) = -k + 3. Let s be g(3). Suppose s = -4*f + 10 + 34. Let a(z) = 146*z + 2201. What is the smallest common multiple of f and a(-15)?
11
Let m = 4 - 1. Let x be (5/((-30)/8))/((-4)/12). Suppose 2*z - z + x*l = 15, 5*z - l - 33 = 0. What is the smallest common multiple of m and z?
21
Suppose -195 + 199 = 2*z. Suppose 2*i - 5*w - 33 = i, -2*i = z*w - 6. Let n = 13 + -3. Calculate the least common multiple of i and n.
40
Suppose -k = 2*k - 96. What is the smallest common multiple of 64 and k?
64
Let t(z) = -28*z**2 - 115*z - 8. Calculate the smallest common multiple of 47 and t(-4).
188
Let w = 54 + -52. Suppose -8*t + 3*f = -10*t + 8, 2*t - w*f - 28 = 0. Calculate the least common multiple of 4 and t.
20
Let u = 242 - -778. Suppose -3*c = -4*k + 2063, 362 = -2*c + 4*k - u. Let p = c - -3391/5. What is the common denominator of -95/8 and p?
40
Suppose -3*t = -2*t - 34. Let p = t - -21. Calculate the least common multiple of 5 and (-2)/(-11) - (-430)/p.
40
Suppose 4*u - b = 2*b + 25, 2*u - 11 = b. Let w(i) = -i**3 - 6*i**2 - 7*i. Calculate the least common multiple of u and w(-5).
20
Let f(l) = -l**2 - 5*l - 3. Let g be f(-3). Suppose g*m - 5 = 7. Let u(d) = d**3 + 22*d**2 + 2*d + 52. What is the least common multiple of m and u(-22)?
8
Suppose 5*i = 2*h + 68, -5*i - 19*h + 73 = -16*h. Calculate the least common multiple of 4/((-16)/(-28)) + -3 and i.
28
Calculate the common denominator of 4/(-6) - (-13)/18 and (-600)/320*136/(-12).
36
Let o(w) = -w**2 + 16*w - 24. Let t be o(9). Suppose 0 = 5*x - 3*b - t, 3*x - 8*x + 43 = -b. What is the lowest common multiple of 5 and x?
45
Suppose -j + 4 = 1. Suppose 4*b = 5*b, -j*m = b - 3. Calculate the lowest common multiple of 8 and m.
8
What is the common denominator of 894/2340 - 12/(-30) and -29/6?
78
Let x = 56039/8 + -7014. What is the common denominator of x and -7/54?
216
Let v(m) = -m**2 + 19*m - 9. What is the least common multiple of v(18) and 99?
99
Calculate the common denominator of -9*(82/132 - 1) and (1/((-22)/(-81)))/1.
22
What is the least common multiple of (138/8)/(132/3168) and 33?
4554
Let m(t) be the first derivative of -t**3/3 + 17*t**2/2 - 20*t + 33. Calculate the smallest common multiple of 4 and m(15).
20
Suppose -14*v + 15*v = -4*z + 53, -5*z - 5*v = -55. What is the lowest common multiple of 8 and z?
56
Suppose f + 3*l + 2*l - 23 = 0, 3*f - 5*l - 49 = 0. Suppose h = 4*x + 18, 5*x + f + 13 = -3*h. What is the common denominator of h - -1 - 655/30 and 34/3?
6
Let y(z) = z**3 - 2*z**2 - 31*z - 8. What is the least common multiple of 30 and y(7)?
60
Suppose -9 = -5*n + 4*n. Let z = -1 + -4. Calculate the smallest common multiple of n and (3 + z)*1 + 11.
9
Let h = 2578 + -22416. Let g = h - -476185/24. Find the common denominator of g and -5/12.
24
Suppose -15*a + 823 = 103. What is the smallest common multiple of 24 and a?
48
Let z be -23*(-2 + 0/(-3)). Calculate the smallest common multiple of 4 and -1 + 4 - z/(-2).
52
Suppose 4*k + 6*v - 3*v = -69, 5*v = -15. What is the common denominator of 2*(6/k - 166/560) and 29/20?
140
What is the common denominator of 2/(-6) - (-215)/(-1161) and -137/60?
540
Let z = 22 - 22. Let p(c) = z*c - 6*c + 10*c - 5*c. Calculate the smallest common multiple of p(-9) and 7.
63
What is the lowest common multiple of 105 and (280/6)/(25/150)?
840
Let z = -1 + 0. What is the least common multiple of z + (-6)/(-5) + 510/75 and 6?
42
Suppose r + r - u = -4, 10 = -5*u. Let j = 17263 - 241581/14. What is the common denominator of (r - -5) + 57/(-36) and j?
84
Suppose a + p = 19, -5*a - 6*p + 3*p + 87 = 0. Let l = a + -14. Find the common denominator of 19/5 and 374/11*l/(-20).
10
Suppose -11*s + 5*h = -15*s + 156, -5*h - 195 = -5*s. What is the smallest common multiple of 33 and s?
429
Let m = 369 - 11159/30. Calculate the common denominator of -41/30 and m.
30
Let p = -12 - -14. Calculate the lowest common multiple of p and -2 - -1*65/10*2.
22
Calculate the least common multiple of 145 and (14/8 - 9/12)/1.
145
Let y = -8 + 5. Find the common denominator of -27 and -2*-83*y/36.
6
What is the lowest common multiple of 3 + (21 + -8 - -140) and 108?
1404
Let p = 18 - 30. Find the common denominator of 1*2/(8/130) and 18/p*(-129)/63.
14
Suppose 5*h - 83 + 25 = 2*w, 62 = 5*h - 3*w. What is the smallest common multiple of h and (-165)/440 - (-131)/8?
80
Let t = 141/41 - 4685/492. Calculate the common denominator of (3/(-4))/((-12)/23) and t.
48
Let h = -4711949/203394 - 2/33899. Find the common denominator of h and (-18513)/594 + (1 - (-5)/(-6)).
6
What is the smallest common multiple of ((-156)/(-9) - 3)*3 + 5 and 48?
48
What is the lowest common multiple of (-36)/(-60)*2*60 and 54?
216
Let g be 6/(-2) + (-72)/(-8). Suppose g*t - j + 1 = 4*t, 0 = 4*j - 20. Calculate the smallest common multiple of t + (-1)/2*-6 and 2.
10
Let j(m) = -3*m + 2*m - 19 + 2*m + 3*m. What is the smallest common multiple of j(14) and 11?
407
Suppose -2*j - 10 = -7*j. Let h(z) = -3*z**2 - 2*z + 4. Let u be h(j). Let q = u + 26. What is the smallest common multiple of 20 and q?
140
Let v(f) = 6*f + 210. Calculate the lowest common multiple of v(-32) and 60.
180
Suppose -2*q = 5*c - 7*c + 22, 26 = c + 2*q. What is the least common multiple of 34 and c?
272
Let i(a) = -10*a + 346. Calculate the least common multiple of 376 and i(34).
1128
Calculate the lowest common multiple of 20 and (-4 - -11) + (4 - -29)/3.
180
Let o be 4/22 - 4791/26169. Let y = -3949/12688 + o. Calculate the common denominator of y and 3.
16
Suppose -3*j + 8 = 4*o, -4 = 4*o - 3*j + 12. Calculate the smallest common multiple of 7 and (4 - 5)*(o - 6).
7
Calculate the common denominator of 73/12 and (-201)/333 + 1/3.
444
Let c(o) = 12*o + 162. Calculate the smallest common multiple of 28 and c(-13).
84
Let u = -336987/5 + 67619. Let w = u - 7541/35. Let f = -1226 - -2389/2. Find the common denominator of w and f.
14
Let i(m) = m**3 - 5*m**2 + 4*m + 1. Let s be i(4). Calculate the lowest common multiple of (6/s)/(6/4) and -2*5*60/(-75).
8
Suppose 3*d = -3*j - 33, j = 2*d - j + 6. Let r(m) = -m**3 - 6*m**2 + 9*m + 8. Let b be r(d). Find the common denominator of (532/(-20))/(b/(-5)) and 95/4.
12
Suppose -8*d + 1210 = 3*d. Calculate the least common multiple of 77 and d.
770
Calculate the common denominator of 91/56 + 4/8 and -35/254.
1016
Let a = 6145 - 22543. Let r = a + 327887/20. What is the common denominator of r and (62/(-28))/((-2)/(-6))?
140
Calculate the common denominator of -2 + -9*(-1)/(-15) and -1/9.
45
Let p(y) = y - 1. Let m(u) = -3*u - 32. Calculate the lowest common multiple of m(-12) and p(5).
4
Let n = -29716/7 + 1486213/350. What is the common denominator of n and -73/50?
50
Let x(k) = k**3 + 5*k**2 - 4*k + 2. Let b = 23 + -11. What is the least common multiple of x(-5) and b?
132
Calculate the lowest common multiple of (30/(-10))/(18/(-264)) and 256.
2816
Suppose 3*d + 0*x - 21 = -4*x, 3*d + x = 21. What is the smallest common multiple of 9 and (-5 + -1)/(d/((-105)/6))?
45
Find the common denominator of ((-7)/(168/18))/((-36)/392) and -37/168.
168
Calculate the common denominator of (-38789)/(-6952) + (-12)/(-22) and 15.
8
Suppose -5 = 72*x - 73*x. Calculate the smallest common multiple of x and 3*(-12)/9 + 5.
5
Suppose 5 = x - 0, 2*n + x = -7. Let v(r) = -r**2 - 4*r. Let m be v(n). Let c = -1