56
Suppose 48982 = 31*t + 3164. Calculate the lowest common multiple of 20 and t.
14780
Find the common denominator of -13/21 and (-547)/123 + (-10)/(1 - 3).
861
Let n(l) = -3*l + 9. Let f be n(5). What is the smallest common multiple of 6 and 12 - -2 - 1/(-2)*f?
66
Let m(c) = c**3 - 5*c**2 + 10*c + 6. Let n be m(9). Let g = 4283 - 25841/6. Find the common denominator of g and ((-3)/(-10))/(8/n).
12
Suppose 2*c + 5 = 29. Suppose -178*a = -173*a - 35. What is the lowest common multiple of c and a?
84
Calculate the common denominator of 21/3 + 286/55 and 65/27.
135
Let l = -1159/220 + 151/55. What is the common denominator of (-7)/(-14) + 138/80 and l?
440
Suppose 2*k - 2*f - 590 = 0, -2*k - 3*f - 116 = -711. What is the smallest common multiple of k and 12?
888
Let l(r) = 17*r**2 - 14*r + 53. What is the least common multiple of l(5) and 4?
408
Let b = 530 - 30735/58. Find the common denominator of b and -15/58.
58
Let x(h) = -h + 8. Let i be 438/(-2)*(-2)/(-6). Let w = i - -77. What is the least common multiple of x(6) and w?
4
Suppose 0 = 35*g - 34*g - 10. Calculate the least common multiple of 18 and 15/g*84/9.
126
Let o = 7 + -3. Suppose -4*z = 8, -4*u + 6*u - z - 4 = 0. Calculate the lowest common multiple of o and u.
4
Suppose -c = -w - 0*c + 563, 1106 = 2*w + 3*c. What is the common denominator of w/208*(-1 + 3) and -1/36?
72
Let p = 3545 - 3542. Suppose -2*f + 0*f + 42 = 0. Calculate the lowest common multiple of p and f.
21
Let y(r) = -r**3 + 4*r**2 + 1. Let c be y(-3). Calculate the common denominator of (192/(-90))/(6/(-9)) and (c/276)/(4/(-6)).
115
Let k be (-2)/(1 - (3 + -1)). Let p be (40 - -1)*k/(-38). Let w = 9/418 + p. Calculate the common denominator of -55/8 and w.
88
Suppose -3*f - 2*d = 58 - 419, -3*f - 3*d + 360 = 0. What is the smallest common multiple of f and 66?
726
Suppose -k = -14 + 2. What is the least common multiple of 12 and (k - -7) + (-1 - 2)?
48
Let x(p) = -6*p**3 - 3*p**2 + p - 2. Let h be 11/3 - 8/12. Let j be x(h). Calculate the common denominator of -36/5 and (j/(-66))/(10/(-15)).
55
Let h = -2/86261 + 9969311/172522. Let s = -149/7 + h. What is the common denominator of s and -107/30?
30
Let r = -1603/62 - -180479/7068. Calculate the common denominator of 115/18 and r.
684
Let p(w) = w**3 - 4*w**2 + 3*w - 2. Let c = -9 - 3. Let m = -8 - c. Calculate the least common multiple of 7 and p(m).
70
Suppose 5 + 3 = 4*p. Let w(q) = -q - 7. Suppose g - 2*t - 59 = 4*g, g - 5*t + 31 = 0. What is the smallest common multiple of w(g) and p?
14
Let a = 65 - 30. Let o(j) = -2*j**2 - 31*j + 261. What is the lowest common multiple of o(-21) and a?
210
Let h = -820 + 825. Let z = 8 + 22. Suppose -5*y + 15 = -z. Calculate the smallest common multiple of h and y.
45
Let y(i) = -i + 18. Let k be y(10). Let n(z) = -2*z**2 + 16*z + 4. Calculate the lowest common multiple of 26 and n(k).
52
Suppose 7*l + 336 = 2352. Suppose -3*j + 9*j + l = 0. Calculate the common denominator of j and -85/16.
16
Let p = 10 - 6. Suppose -w = 4*b - 22, -p*w - 5*b + 52 = -w. What is the least common multiple of ((-36)/22)/(7/(-77)) and w?
126
Suppose -27 - 18 = -5*o. What is the least common multiple of o and 30?
90
Let a = 65 - 144. Let h = -31 - a. What is the smallest common multiple of 6 and h?
48
Let i = -1297449/62 - -20928. Let f = 679/2 + -3067/9. What is the common denominator of i and f?
558
Let p = -181 - -187. Calculate the least common multiple of p and 42.
42
Calculate the common denominator of -47/8 and 2*1 + 252/(-240).
40
Let t = -131 - -134. Suppose 4*u + 2*r + 0 = 12, 4*u - 6 = -5*r. Let h = 13 - u. What is the least common multiple of t and h?
9
Let a(h) = h**2 + 3*h - 3. What is the least common multiple of 20/2 - (-1 + 1) and a(-4)?
10
Calculate the common denominator of 1*(-486)/(-60) - 2 and (206/36)/(2/(-3)).
60
Suppose 0 = b + 2*l - 7 + 1, b + 6 = 4*l. What is the smallest common multiple of b and (-4)/((-1)/(1 - -1))?
8
What is the lowest common multiple of 3/(-5)*(2 - 17) and 166?
1494
Let q(l) = -7*l - 95. Calculate the lowest common multiple of 7 and q(-14).
21
Let h be 3 + -5 + (-7 - 3). Suppose 3*t + 40 = 7*t. What is the lowest common multiple of t and (-6)/h*(-1 + 7)?
30
Let k = 46 - 16. Find the common denominator of 7/34 and 10/24*532/k.
306
Let k(t) = -2*t + 14. Let h be k(0). Suppose h*n = 17*n - 12. What is the least common multiple of 4 and n?
4
Let w = 95/92 + -6133/460. What is the common denominator of 40/37 and w?
370
What is the smallest common multiple of 1 and (-42)/(-70) - 276/(-15)?
19
Let r = 2997/10516 + 5/478. Find the common denominator of r and 5/12.
132
Let g = -264/37 + 11635/1221. What is the common denominator of g and 4/7?
231
Let m = -2/5327 + -477/756434. Let i = -51693/4970 - m. Calculate the common denominator of i and 32.
5
Let q = 2 + -2. Suppose -3*f - 4*d + 26 = q, 16 = -0*f + 4*f - 4*d. What is the smallest common multiple of 37/7 - (-2)/(-7) and f?
30
Let a = -18639 - -633783/34. Calculate the common denominator of 59/30 and a.
510
Let c = -97 + 102. Find the common denominator of (65/165*-6)/(4/c) and -75/8.
88
Suppose -138 = -4*a + 1182. Calculate the common denominator of -37/8 and (-66)/75*a/(-24).
40
Let u = 148/11 - 1965/88. Let l = -2/14231 - -27011/8132. Find the common denominator of l and u.
56
Let j = -1018 + 11175/11. Let f(x) = x**2 + 11*x + 12. Let g be f(-11). Calculate the common denominator of (-61)/((-5)/((-15)/g)) and j.
44
Let x(r) be the first derivative of 5*r**2/2 - 14*r - 1. Let n = 229 - 219. Calculate the lowest common multiple of x(n) and 10.
180
Let l(f) = -f**3 - 4*f**2 + 4*f + 7. Let o(u) = 14*u + 240. What is the least common multiple of l(-5) and o(-17)?
12
Let l = 25069/12 + -2085. What is the common denominator of -49/3 and l?
12
Let m(z) = -3*z + 2. Let n = -43 + 85. Suppose -62 = -3*o - 2*i, -n = 2*o - 5*o + 3*i. What is the smallest common multiple of o and m(-6)?
180
Suppose -1530 = -21*q - 123. What is the least common multiple of 3 and q?
201
Suppose -5*j + 3*f + 11 = 0, 3 = 2*f - 3. Suppose 3*l - j = -2*o, -o - 4*l = 3*o. What is the smallest common multiple of 3 and ((-24)/(-8))/((-2)/o)?
6
Let l = -481799/672 + 5028/7. Find the common denominator of 35/8 and l.
96
Let o = 247727/18 - 13759. What is the common denominator of o and -67/3?
18
Let g(h) = -4*h + 68. What is the smallest common multiple of 32 and g(11)?
96
Let b(i) be the second derivative of 2*i**3/3 - i**2 + 4*i. What is the least common multiple of (-3*4)/(0 + -1) and b(2)?
12
Let c(f) = f**2 + 9*f + 11. Let u be c(-8). Let x(h) = -h - 2*h + 7*h + 2. Calculate the lowest common multiple of x(u) and 52.
364
Let y(k) = -2*k**3 - 6*k**2 - 7*k + 3. Let m be y(-3). Calculate the common denominator of 29/14 and (-19)/m*1 + 24/32.
168
Let i = -28 - -60. Suppose 0 = -3*b - i - 310. Find the common denominator of 31/4 and -5 + 9 + b/22.
44
Let q = -273 - -281. Calculate the smallest common multiple of q and 9.
72
Let o be (-1*10)/((-10)/5). Suppose -o*n + 365 = -5*j, -293 = -j + 5*j - 5*n. Find the common denominator of (-2)/(-6) - (-177)/j and -5/18.
72
Let k(p) = 2*p - 2. Let u = -65 + 73. What is the lowest common multiple of u and k(5)?
8
Let y = 5 - 3. Suppose 4*f = -v - 3*v - 168, 70 = -y*f + 5*v. Let i = -20 - f. What is the least common multiple of 20 and i?
20
Let x = 513/1294 + 6194447/19410. Let n = x + -1859/6. Let l = 12383/2120 - -9/265. What is the common denominator of n and l?
40
Suppose -12 = 3*i, -4*o - 5*i + i = 24. Find the common denominator of (-157)/(-30) - o/(-5) and 54/5.
30
Calculate the least common multiple of 245 and (3 - -7) + -5 + 2.
245
Let r(d) = -d**2 - 9*d - 8. What is the smallest common multiple of 4 - (3/6 - (-1)/(-2)) and r(-6)?
20
Let a = 29/30 - -6/5. Find the common denominator of a and ((-1)/10)/(3/(-87)).
30
Suppose 79 - 22 = 5*s - 3*i, 30 = 2*s - 3*i. Let v(k) = -k + 8. Let t be v(9). Let g = 6 + t. Calculate the smallest common multiple of s and g.
45
Calculate the common denominator of 43/65 and (-24)/(-702)*1*-3.
195
Find the common denominator of 6/95 and (2/3)/(6 + 1806/(-297)).
380
Let h(n) = -6*n**2 + n. Let o be h(-1). Let v(z) = -z - 2. Let l be v(o). Suppose l*j - 6*j = -18. Calculate the lowest common multiple of j and 16.