g = -317 - -359. Calculate the least common multiple of 76 and g/(-15)*170/(-17).
532
Let s = -8043/130 + 712/13. Let z = 45421/14 - 3239. What is the common denominator of s and z?
70
Suppose 4*t = -4*j - j + 42241, t - 16894 = -2*j. Suppose -6*n = -n + j. Let l = n + 6813/4. What is the common denominator of 59/16 and l?
16
Suppose 2*d - 66 - 12194 = -8*d. What is the smallest common multiple of d and 18?
11034
Suppose -n = -7, -4*n = -5*d - 5726 + 15953. Calculate the smallest common multiple of 7 and d.
2051
Suppose 1394 = -2*l + 7*l + 3*o, -5*l = -3*o - 1406. Let s = l + -268. Let i = 59 + -35. Calculate the least common multiple of i and s.
24
Let i = -1 - -5. Let s be (-210)/(-8) - 1 - 6/(-8). Suppose -h - 3*v = -25, -4*v = -3*h + 114 - s. Calculate the lowest common multiple of h and i.
28
Suppose -31*l + 28*l + 6 = 0. Calculate the common denominator of l/(-6) + (-237)/2340 and -109/18.
2340
Find the common denominator of (-62)/(-1178) + (-4629)/2394 and (-4)/(-4) + 178/(-36).
126
Suppose 0 = 25*f - 30*f + 20. Find the common denominator of f/(-6) + ((-160)/116)/(-10) and -145/6.
174
Let b = 48/89 + -4129/890. Let q = 116 + -122. What is the common denominator of ((-882)/(-48))/(9/q) and b?
20
Let t = -21/169 + 9421/1014. Let n = 6341/7 - 906. Find the common denominator of n and t.
42
Let u(t) = -2*t**3 + t**2 - 2*t - 3. Let v be (168*-3)/(-8) - 3. Suppose 21*r - v - 24 = 0. Calculate the lowest common multiple of r and u(-2).
84
Let h(z) = 6*z**2 + 2*z**2 + 26*z - 2*z**2 - 4*z**2 + 10. Calculate the least common multiple of h(-15) and 7.
70
Let c = 152209 - 52055525/342. Find the common denominator of c and 151/684.
684
Let h(r) = -328*r + 1. Let y be h(-1). Suppose 11*s + 2740 = -y. What is the smallest common multiple of 12 and 10/(-65) + s/(-39) + -1?
12
Let f = -1347519/76 - -17731. What is the common denominator of f and 99/28?
532
Let t be (-136)/(-6)*(-3 + 3336). Find the common denominator of -64/65 and 6/(-20) - t/(-79560).
585
Let o = 97831486/613 + -2445481330813/15322548. Let c be (-6273)/(-8332) + (-3)/4. Let b = c - o. Calculate the common denominator of 91/30 and b.
60
Suppose -4*u + 7 = -9. Suppose 5*q - 17 = 2*v, 3 + u = q - 4*v. Let c = q - -45. Calculate the common denominator of c and 43/6.
6
Suppose 16*x - 6*x - 650 = 0. Suppose 5*m - x = -3*u + 8*u, -4*u = 4. What is the common denominator of m/24*(-47)/(-2) and 51/14?
28
Let x = 1521220 + -9621716452/6325. Find the common denominator of x and -91/44.
25300
Let s = -344455094/955 + 360686. Calculate the common denominator of -59/55 and s.
10505
Let j(a) = -37*a - 424. What is the least common multiple of 276 and j(-19)?
25668
Let v(p) = p**2 + 19*p - 56. Let j be v(-19). Let n = 65 + j. What is the smallest common multiple of n and 39?
117
Find the common denominator of -13 + 19 - -1 - (-5038)/(-744) and 79/180.
5580
Let p(x) = 14*x - 20. Let g(n) = n**2 + 25*n + 48. Let m be g(-23). Calculate the least common multiple of 7 and p(m).
56
Let b = -809 - -705. Suppose 4*n - 3*v - 5888 = -7*v, -n + 1460 = -3*v. Calculate the common denominator of -35/57 and (n/b)/(2/(-4) - -2).
228
Let l = -6881 - -165271/24. Find the common denominator of -149/114 and l.
456
Suppose 0 = z + 4, -79 = -3*h + 7*z + 6. What is the least common multiple of 42 and h?
798
Let o(c) = c**2 - 5*c. Let r = -45 - -51. Let d be o(r). Let g(x) = x**3 - 6*x**2 + 3*x. What is the lowest common multiple of g(d) and 12?
36
Let m = -4 + 36. Suppose -7*n + m = -3*n. Calculate the lowest common multiple of n and 15.
120
Calculate the common denominator of -121/474 and (12 + 1023852/(-85320))*(-1164)/8.
4740
Let l = 5/2828 + -15401/1512980. Find the common denominator of l and 39/40.
4280
Let k = 2469/20696 - 18/199. Let o = -787/1560 - k. Calculate the common denominator of o and 52/15.
15
Let b be 3 + (8/(-16) - 15178/(-12)). Let j = b + -1282. Suppose -463 = 8*o - 135. What is the common denominator of o and j?
3
Let p = 45195/4 - 11287. Calculate the common denominator of p and -41/456.
456
Let q be (-4 - (-2 - 7) - 6)*851. Let d = -51875/61 - q. Calculate the common denominator of 47/11 and d.
671
Let t = -2122923270 - -324797731055/153. Let j = -62283 - t. What is the common denominator of -89/15 and j?
765
Suppose 906*o - 13806 = 880*o. Calculate the lowest common multiple of 45 and o.
2655
Calculate the lowest common multiple of 316 and 8 - (-14 + 17 - 1).
948
Suppose 99*m = 62*m + 999. Calculate the lowest common multiple of 3 and m.
27
What is the common denominator of -61/200 and 27*(-25)/(-675)*(38/(-4) + 2)?
200
Find the common denominator of 5/(-2) - 61215/(-32860) and -139/696.
21576
Let n = 29 + -23. Calculate the least common multiple of n/10 + (-4155)/(-75) and 32.
224
Let g = 60 + -48. Let p = -25789/20 - -1287. Find the common denominator of (g/16 + -1)*124/(-34) and p.
340
Let p = -2485613 - -1449109350/583. Let n = 20/53 + p. Find the common denominator of 39 and n.
11
Let r(b) = -76*b + 614. Calculate the lowest common multiple of 744 and r(4).
3720
Calculate the smallest common multiple of 10 and (-14272)/(-44) + 4/(-11).
1620
Let y = -2/13 + -685/26. What is the common denominator of y and ((-11)/473)/(((-3)/(-234))/((-19)/(-38)))?
86
Let p = 284859 + -2848537/10. Let y = -41395/16 + 2585. Calculate the common denominator of y and p.
80
Let o be ((-10)/48)/(3 - (-952666)/(-317559)). Let c = 6026 + o. Find the common denominator of c and -69/64.
64
Suppose -19*r = -56 - 77. Find the common denominator of (-5)/(-1360)*(14 + r/(-1)) and 3/22.
2992
Let o = 145051/12870 - 148/13. What is the common denominator of 71/594 and o?
2970
Suppose -13*k - 18 = -10*k. Let c = 5617/118 + -6/59. Calculate the common denominator of c and (282/(-76))/(36/k).
76
Find the common denominator of 55/7738 and ((-1)/18)/(9/(-36639)*23).
23214
Let u(c) = -c**2 - 164*c + 5. Calculate the lowest common multiple of u(0) and 59.
295
Let y = 14987 - 1168939/78. Find the common denominator of y and -79/858.
858
Let y be -2 + (-16)/(-10) - (-68)/20. Suppose 0 = -y*d - 3*m + 9, -3*m + 19 - 2 = -5*d. Calculate the common denominator of 7/378*-82 + (0 - d) and 32/9.
27
Let l = -99 + 132. Let n be -2 - -2 - (2 + -6). Suppose n*w = w + l. Calculate the smallest common multiple of 11 and w.
11
Let r(j) = 1425*j + 1960. What is the lowest common multiple of 588 and r(0)?
5880
Let q = -762 + 769. Let h(m) = -9*m + 3*m**3 - 4*m - 5*m**2 + 0*m**2 - 1 - 2*m**3. What is the lowest common multiple of 7 and h(q)?
42
Suppose -6464 = 22*p - 7124. What is the least common multiple of p and 42?
210
Let i = -125 + 137. Find the common denominator of 83/20 and 1646/612 + i/54.
340
Suppose 5*i - 5 = 10, -3*i = t - 5. Let b be t + -3*(30/(-9) + 3). Calculate the common denominator of -69/4 and (b*(-2)/52)/((-84)/(-119)).
104
Suppose 0 = -r - 4*s - 6, -184*s + 181*s = 5*r - 72. Calculate the lowest common multiple of 4852 and r.
43668
Let z = 14349 + -9441. Let q = 71154453/160 - 4398083/10. Let h = q - z. Find the common denominator of 95/6 and h.
96
Let g(m) = -5*m - 1. Let z be g(-5). Let v be -2*(-2)/(-4)*(7 - (-11 + 13)). What is the common denominator of (8/z)/(v/129) and -49/16?
80
Suppose 4*v - 74 = n, 2*n = 7*n - 5*v + 340. Let q = -46 - n. Calculate the least common multiple of ((-1)/1 + 9/(-3))*-4 and q.
80
Let k = 332833/424 - 785. What is the common denominator of k and 37/1060?
2120
Let t = -1637/5 + 84999/260. What is the common denominator of t and 83/1131?
4524
What is the common denominator of 1738/1300 + (1631/91 - 18) and 64/855?
8550
Let p = 33187/18 - 5536/3. Find the common denominator of p and 3/(-4) + 3568/320.
90
Let s = 2249916911/1488 - 1512041. Calculate the common denominator of s and 17/186.
1488
Suppose 1504*a - 15610 = 1500*a + 2*h, 3*h - 15575 = -4*a. Calculate the least common multiple of a and 2.
7798
Suppose 0 = -5*d + 4*z + 378, 142 = 3*d + 4*z - 72. Let b(r) = -r**2 + 12*r - 15. Calculate the lowest common multiple of b(7) and d.
740
Suppose 3*i - 14 + 2 = 0. Suppose 0 = i*s - 133 + 1. Suppose 3*w - 6*w = -s. Calculate the least common multiple of w and 12.
132
Let s = 895 + -908. Suppose -i = -0*i - 37. Let b = i + s. Calculate the lowest common multiple of b and 3.
24
Let g(n) be the thi