What is the lowest common multiple of (14/4)/((-5)/(-10)) and 14?
14
Let b = -7478/7 - -1064. Suppose -150 = 2*j + j + 4*c, 3*c - 221 = 5*j. What is the common denominator of b and j?
7
Let k(g) = -g**2 - 21*g - 43. Let s be k(-18). Calculate the lowest common multiple of 3 and (-10)/(-55) - (-86)/s.
24
Let c be -3 - (1 - -1843) - -2. Let d = -7323/4 - c. What is the common denominator of d and -71/8?
8
Suppose -5*m + 4*z - 2*z = 2, 4*z = -16. Let b be (-1221)/(-27) - m/(-9). Calculate the common denominator of -11/6 and 10/b + 548/126.
42
Let u = 109 + -99. Calculate the least common multiple of u and 83.
830
Let m = -10583/17 + 622. Let v = m - -835/68. What is the common denominator of v and -17/14?
28
Suppose -5*t = -3*c + 2, -3*t + 7*t + 2*c - 16 = 0. Suppose t - 1 = v. Calculate the least common multiple of 10 and v.
10
Let n be (-6)/4 + 1/(-2). Let d be 306/7 - 2/(-7). What is the common denominator of n/d*(-282)/(-3) and 53/9?
99
Let x = 79 - 86. What is the common denominator of ((-39)/(-8))/(7/x) and (2/(-88))/((-2)/92)?
88
Let l(h) = -h**3 - 3*h**2 - 4*h - 2. Let z be l(-2). Suppose w + 3 = 3*b + 12, 0 = 2*w - b + z. Find the common denominator of -85/4 and w/(-15) + 323/10.
4
Suppose 23 + 0 = -i. Calculate the common denominator of (-8)/(-44) + 1*3 and 6/(-15)*i/(-2).
55
Let w be 0 + -3 - 1133514/198. Let m = w + 5723. Find the common denominator of -23/6 and m.
66
Let t be (11 - 0)/(1/(9/3)). Suppose 0 = -4*f + 57 - t. What is the smallest common multiple of 10 and f?
30
Calculate the least common multiple of 26 and (100/(-125))/(1*(-2)/50).
260
Let r be (-90)/21 + (-15)/21 + 1. What is the common denominator of 20/48*4*58/r and (38/(-12))/((-4)/(-30))?
12
Find the common denominator of ((-3)/(-120))/(-7 - (-2483)/355) and 99/76.
304
Let m be ((-48)/(-40))/((-2)/5). Let w = m + 7. Calculate the lowest common multiple of (3/w)/(9/216) and 2.
18
Suppose -5*z + 150 = 3*l + 49, -l = -3*z - 15. Calculate the smallest common multiple of l and 9.
27
Suppose -6*i + 4*i - l = -38, 5*l = -5*i + 105. Calculate the lowest common multiple of 170 and i.
170
Let s be (-2)/(-2)*(6 - 4). Let d(n) = -7 - 4*n + 3*n + 6*n + n**s - 3. What is the lowest common multiple of 14 and d(-9)?
182
What is the common denominator of -86/21 and 3/(-15) + 9/(945/4)?
105
Suppose 4*k = 3*y - 512, 0 = k - 60 + 65. Calculate the least common multiple of 20 and y.
820
Calculate the least common multiple of 70 and 1*77*(-5 - -6).
770
Let w(s) = -3*s - 17. Let a be w(-12). Let q be -5*(33/(-15) + 3). Let i = a + q. What is the lowest common multiple of i and 1?
15
Let h(u) = -u - 4. Let j(n) = n + 14. Let q be j(-10). Let s(z) = 4*z - 6. What is the least common multiple of s(q) and h(-7)?
30
Suppose 0 = 5*s - 10*s + 671170. Suppose 3*j - 5*l - 80529 = 0, -j + 6*j - 2*l - s = 0. Let b = j + -483409/18. Calculate the common denominator of -3/2 and b.
18
Calculate the least common multiple of 12/1 + 0/4 and 86.
516
Suppose -a + 98 = 2*a - 2*v, 3*v - 176 = -5*a. Let x = 322 - 320. Suppose x*b = -5*f + 46 + 1, 2*f - 3*b = a. What is the smallest common multiple of 7 and f?
77
Calculate the common denominator of 83/20 and 9 - (-5 - -11) - (-103)/(-90).
180
Suppose 0 = o + 3*v + 12028, -5*o - 34028 = 2*v + 26112. Let p = o + 144251/12. Find the common denominator of -75/4 and p.
12
Let o be 1 + 0 + -1 - 0. Suppose -2*n = -6*n - r, r + 7 = 3*n. Find the common denominator of -95/8 and n - o - (-114)/(-252).
168
Let i = -2/7961 + -334256/421933. Calculate the common denominator of i and (2/10)/(18/(-1515)).
318
Let y(k) = 57*k + 60. Calculate the lowest common multiple of y(6) and 18.
1206
Let n = -25541/16 + 6397/4. Let w = 3669/10 + -368. What is the common denominator of n and w?
80
Suppose -2*p + 6 - 2 = 0. Suppose 0 = p*q - 7 + 1. Suppose q*n = 6*n - 60. Calculate the lowest common multiple of 6 and n.
60
Let x be 4*((-3)/(-6) + 0). Let k = -7199/10 - -719. What is the common denominator of k and x - 1 - (-3 - -27)?
10
What is the common denominator of 5/18 and ((-66)/18)/((-20)/(-34))?
90
Find the common denominator of (-298)/21 - 4/28 and (56/21)/((-22)/(-3)).
33
Let k be -27*((-24)/(-9))/(-2). Suppose -l - k = -2*u + 4*l, -16 = 4*l. Calculate the lowest common multiple of u and 9.
72
Let r = -33957349/8 - -4238467. Let h = 6190 + r. Find the common denominator of 89/46 and h.
184
Let r be -1*((-16)/(-2476))/(-2). Let m = r + -32825/5571. What is the common denominator of m and 2 + 1/(6/(-129))?
18
Let u = 1413 - 1308. What is the lowest common multiple of u and 133?
1995
Suppose 125*c - 132*c + 35 = 0. What is the lowest common multiple of 71 and c?
355
Suppose -455*m + 452*m + 90 = 0. Calculate the least common multiple of m and 18.
90
Suppose -b = 2*b - 2*k + 314, k = 5*b + 521. Let o = b - -57. Let q = 74 + o. What is the least common multiple of 9 and q?
27
Let r = -12021 + 35714388/2971. Let j = -216943/59420 - r. What is the common denominator of 77/16 and j?
80
Let p = 421/203 - -64/87. What is the common denominator of p and 1 + (1 - 94/54)?
189
Let a(u) = -2*u**2 - 17*u + 14. Suppose m - 13 = -2*r, -2*r + 33 = 3*r + 3*m. Let n(k) = 2*k - 6. What is the least common multiple of a(-9) and n(r)?
30
Let t(a) = -5*a**3 - 29*a**2 - 14. Calculate the smallest common multiple of t(-6) and 126.
1386
Let f = -6001/24 + 761/3. Let i = -640785/1437809 + -2/17323. What is the common denominator of i and f?
664
Suppose 2*z - 1730 = 3*z. Let v = 12151/7 + z. Find the common denominator of v and (-6)/(-120)*4*-4.
35
Suppose 0 = 4*s + 5*q - 10*q - 23, 68 = 4*s + 4*q. Suppose 7*n = -s*n + 209. Calculate the least common multiple of 15 and n.
165
Let y(p) = -25*p - 384. Calculate the smallest common multiple of y(-16) and 190.
1520
Let x(n) = -n**2 + 14*n - 15. Calculate the smallest common multiple of 63 and x(3).
126
Find the common denominator of -4 - (204/(-42) - -1) - -4 and 4 + 185/(-50) - -1.
70
Let a be (10/4)/(2/(-12)). Let t be (-67)/5 + 9/a. What is the common denominator of 0/2 - (-43)/t and -19/6?
42
Let o be (-4)/10*(6 + 4). Calculate the lowest common multiple of 8 and o/(((-18)/8)/9).
16
Let g(q) = 77*q - 290. What is the lowest common multiple of g(4) and 118?
1062
Let b = -18431/30 - -2971/5. Find the common denominator of 109/54 and b.
54
Let r(y) be the first derivative of y**3/3 - y**2 + 3*y - 11. Let v = -4 - -6. Calculate the smallest common multiple of r(3) and v.
6
Let k = 8999993/18285440 - 1/142855. What is the common denominator of 85/112 and k?
896
Let f = 33 + -29. Suppose -u + 35 = f*u. Calculate the smallest common multiple of u and -1 - (-10)/2 - -1.
35
Let r(t) = t + 16. Suppose -2*h - 13 = 9. Let k = h + 20. What is the least common multiple of r(-12) and k?
36
Calculate the common denominator of 59/38 and (-87)/(-40) + 1/((-12)/15).
760
Suppose 4*i + 12 = j, j + 25 = 4*j - i. Suppose j*s = 4*s + 28. Calculate the least common multiple of 4 and s.
28
Let l(h) = 7*h + 73. Calculate the least common multiple of (-2)/((-1)/(2/4)) and l(-9).
10
Find the common denominator of (-293)/(-936) + 32/(-256) and 33/2.
234
Let o(j) = 3*j + 45. Let u be o(-9). Suppose 3*h - u = -2*q, -4*q - h = -9*q + 45. Calculate the lowest common multiple of q and 6.
18
Let t = -1844 + 23929/13. Suppose 0 = 3*n + 6 - 0. What is the common denominator of t and -2 - (101/n + -2)?
26
Let z = -1568465578/12485 + 125628. Let p = -1810289/224730 - z. Calculate the common denominator of p and -13/22.
198
Let x be ((-1)/(-3))/((-3)/(-171)). Suppose x = 2*t + t + 5*k, 4*t - 5*k = 37. Calculate the lowest common multiple of t and 5.
40
Let d = -15505/6 - -2604. Calculate the common denominator of 14/141 and d.
282
Suppose -323 = 4*l - r, 2*l + 2*r = 4*r - 166. Let m = l - -68. Find the common denominator of -1/4 and m.
4
Calculate the common denominator of (-1)/6*46/(-24) and 49/80.
720
Let j = -24990931 + 9096692611/364. Let h = -3/182 + j. What is the common denominator of h and -99/4?
4
Let a = -54 - -672. Calculate the lowest common multiple of a and 10.
3090
Let c(r) = -r**3 + 19*r**2 - 30*r - 65. Calculate the lowest common multiple of c(17) and 45.
45
Let n = 14 - 6. Find the common denominator of (-70)/n*2/(-4) and 4 - (-7)/((-28)/(-162))*1.
8
Let s(n) = -28*n + 154. Ca