0 = -4*r + 5*g + 85. Suppose 477 - 153 = 6*f. What is the smallest common multiple of f and r?
540
Suppose -45*t - 4446 = -7*t. Let y = t - -144. Calculate the smallest common multiple of y and 27.
27
Let f = -304223/9658 - 2/4829. Let z be -1*61 - (2 - 2). Find the common denominator of z/(-14) + -1 + 0 and f.
14
Let y be 9/2*32/24. Find the common denominator of 31/(-12)*8/y and ((-118)/(-108))/(18/54) + 4.
18
Suppose 63750 = 140*f - 55*f. Calculate the lowest common multiple of 90 and f.
2250
Let a(p) = 3*p + 37. Let g(f) = -9*f - 112. Let q(h) = -17*a(h) - 6*g(h). Calculate the lowest common multiple of 30 and q(-14).
30
Let u = -631700 + 379019867/600. Calculate the common denominator of u and -107/600.
600
Let t = -4/14017 + 1920401/252306. What is the common denominator of 119/3534 and t?
10602
Let s = 4789/14276 + -65/83. Find the common denominator of -27/31 and s.
5332
Let w be 484/10*58/116. Let r = 23 - w. Find the common denominator of -93/70 and r.
70
Let h = 2290795/64 - 35795. What is the common denominator of h and 73/464?
1856
Let q be (2/(-3))/(4/6). Suppose -360 = -21*a + 165. What is the smallest common multiple of q/((-2)/22)*1 and a?
275
Let n = 193 - 876. Let z = n + 868. What is the smallest common multiple of 9 and z?
1665
Let n(j) = 28*j**2 + 563*j + 131. Calculate the least common multiple of 5588 and n(-25).
39116
Let f be (-986)/(-17) + 3/(3/(-2)). Suppose -49*k - 168 = -f*k. Calculate the least common multiple of k and 12.
24
Let x be (0/1)/(-8 - -5) + -18. Let w = 1071/5 - 215. What is the common denominator of (-1)/(x/((-75)/20*2)) and w?
60
Let j = -14/11 - 647/88. What is the common denominator of j and -13/6664?
6664
Let s = 66413/9 - 7383. Let t = -1/35712 - -118049/35712. Find the common denominator of s and t.
36
Calculate the lowest common multiple of 14 - (-121)/(-33)*3 and 25.
75
Let b(l) = -19*l**2 - 231*l - 18. Calculate the smallest common multiple of 126 and b(-11).
2016
Suppose -58*m + 2466 = -52*m. Let w = 413 - m. What is the lowest common multiple of 250 and w?
250
Let a be -4 + ((-5207)/(-6720) - 26/(-39)). Let q = 65/64 + a. Calculate the common denominator of -13/25 and q.
175
Let j(z) = 2*z**2 + 84*z - 2. What is the smallest common multiple of 30 and j(13)?
7140
What is the common denominator of (-3)/53130*20751 + (-336)/(-294) and -9/8?
10120
Suppose -5*k = -2*x + 490, -3*k = 3*x + x + 268. Suppose -16*a + 19*a = 108. What is the smallest common multiple of k/a*3/(-2) + -1 and 9?
9
Let p(k) = 2*k**3 - 32*k**2 + 57*k + 62. What is the lowest common multiple of 370 and p(14)?
14060
Let t = -175104 - -181407773/1036. What is the common denominator of t and -29/70?
5180
Let u(b) = 63*b + 5125. Calculate the lowest common multiple of 2348 and u(-81).
25828
Suppose 0 = 2*n, -2*i + 5*n = -26 - 58. What is the lowest common multiple of i and 6*2/9*(-20 - (-6 - 17))?
84
Suppose -4*g + 21319 = -d - 16172, 4*g = 4*d + 37500. What is the lowest common multiple of g and 36?
28116
Suppose -4*y + 0*y + g + 21 = 0, 0 = -3*y + 2*g + 17. Suppose y*u + 320 = 3*c, 4*u - u = -4*c + 446. What is the least common multiple of c and 40?
440
Let o(g) = -g**3 + 5*g**2 - 13*g + 24. Let b be o(7). What is the common denominator of 1*10/b*195/12 and 22/9?
198
Let r(c) = 4*c - 16. Let w be r(16). Find the common denominator of 31/8 and (-2)/(w/30) + 753/420.
280
Let r be 1*(-27)/4*(-80)/3. Find the common denominator of (-1)/(4/(-3)) - 445/r and 27/112.
1008
Suppose -2*l - 2*s + s + 14 = 0, 2*l - 5*s = 14. Calculate the common denominator of 71*((-1690)/(-240) - l) and 17/156.
312
Calculate the common denominator of (2/(-40))/((-16)/1060) and ((-732)/3294)/(16/(-42)).
48
Let t = -5262 - -5388. Calculate the least common multiple of t and 21.
126
Suppose -3*c + 21 = -4*c - 5*h, 3 = 5*c - 2*h. Find the common denominator of -137/6 and (2*c/16)/((-20)/(-484)).
120
Let d(r) be the third derivative of -7*r**4/24 + 15*r**3 + 4*r**2 - 10*r. What is the smallest common multiple of 84 and d(10)?
420
Let k(w) = -175*w + 4470. Calculate the smallest common multiple of k(6) and 180.
3420
Suppose 2*n - 10 = 4*y, y + 0*y = -n - 1. Calculate the common denominator of (-48)/y*(-2 - 73/(-38)) and 33/60 - 1/4.
190
Let i = -8346 - -167021/20. Find the common denominator of i and -27/28.
140
Find the common denominator of 51/484 and (-4 + (-1048)/(-132))/(1056/36).
484
Let j = 710 + -522. Calculate the smallest common multiple of 12 and j.
564
Let o(z) = -z**3 + 4*z**2 - z - 4. Let n be o(3). Suppose -4*w + 4 = -n*g, 1 = -0*g - 2*g + 3*w. Let y = g + 26. What is the least common multiple of 16 and y?
240
Find the common denominator of 2/54*6 - 29976/161136 and -9/8.
2984
Let r be 1 + 5 + -2 - -1. Let g(i) = 6*i - 25. Let y be g(r). Suppose 0*q + q - 29 = -y*c, -3*c - q + 19 = 0. Calculate the least common multiple of c and 13.
65
What is the common denominator of 21 - (22 - (-19104)/(-17976)) and 139/24?
17976
Let y = 18781260055/25642022472 + 1/54211464. Let i = y - 2/387. What is the common denominator of ((-14)/(-28))/(54/172) and i?
297
What is the least common multiple of ((-5550)/(-148))/(3/8) and (-4 + -10)*(-40)/28?
100
Suppose 0 = 71*m - 121*m + 7700. Calculate the lowest common multiple of m and 126.
1386
Let n be ((-12)/(-30))/(3/30). Suppose n*h = -4*g + 68, 3*g - 5*h + 21 = 4*g. What is the common denominator of 55/14 and (2 - 162/g) + -3?
56
Let s be 4 + 4 + -6 - 98/65. Let a = -2183/715 - s. What is the common denominator of -23/10 and a?
110
Let s = -600 + 1249/2. Suppose 0 = 8*q - 22 + 6. Find the common denominator of s and (q + 17/5)/(128/240).
8
Suppose 29 = 3*h - 7. Let r(s) = 8*s + 6 - 5*s**2 + 0*s**3 + s**3 - s**2. What is the smallest common multiple of r(6) and h?
108
Let c = 28191523/900 + -31324. Calculate the common denominator of 113/270 and c.
2700
Let f be ((-450)/(-35))/((-4)/(-28)). Calculate the common denominator of f/(-22) - (-56)/112 and ((-44)/6)/((-32)/(-9)).
176
Calculate the common denominator of -3/5 and 111/1850*530/516.
860
Let a = -42225 - -1688893/40. Find the common denominator of -55/244 and a.
2440
Let u(l) = 148*l + 6. Let f be u(8). Suppose 2*s + f = 16*s. What is the smallest common multiple of 7 and s?
595
Let p = -3730/3 + 1267. Let x = -113294 + 5098237/45. Find the common denominator of p and x.
45
Let k = -11263/10 - -1122. Find the common denominator of (-88)/(-1452) + 2510/(-396) and k.
90
Let o be (-64)/(-288) + (-3454)/(-9). Suppose -72*m + 80*m = o. Calculate the lowest common multiple of m and 22.
528
Let f = -512933/10406 - -2124/43. Calculate the common denominator of 15/2 and f.
242
Let p = 1616 - 1614. Calculate the lowest common multiple of 919 and p.
1838
Let c(q) = 2*q**2 - 4*q - 42. Let r be c(17). Calculate the lowest common multiple of 168/(-392) - r/(-14) and 36.
396
Let s be ((-21)/(-30))/(13/(-26)). Let g = -151/15 - s. Let p = -345/4 + 399/4. What is the common denominator of p and g?
6
Suppose -10*j - 37 + 87 = 0. Let t(q) = -2*q. Let m(g) = -g + 1. Let c(s) = -3*m(s) + 2*t(s). What is the least common multiple of j and c(-10)?
35
Suppose 0 = -k - 3*r, 2 = 2*k - 0*r + 5*r. Find the common denominator of 56/33 and (-14)/k*152/(-3059).
759
Let n(m) = 3*m**3 - 2*m**2 - 16*m + 84. What is the lowest common multiple of n(5) and 14?
658
Suppose -2*l - 3*x - 61 = -4*l, -l = -4*x - 23. Let c(h) = -h**2 + 46*h + 10. What is the lowest common multiple of l and c(46)?
70
Suppose 2*t = 99 - 33. Suppose -2*l = -3*l + 5*c + 10, -2*l + 3*c = -27. What is the smallest common multiple of t and l?
165
Let i = -96378/13 - -48768607/6578. Find the common denominator of i and 97/220.
5060
Let n be ((-332)/6)/((-6)/18). Suppose h - 22 = 2*u, -5*h - 4*u + 0*u = -n. Calculate the smallest common multiple of 54 and h.
270
Suppose o - 83461 = -6*o. Let w = 18028 - o. What is the common denominator of (4/6)/1 - w/4770 and 35/18?
954
Let z(a) be the first derivative of a**2/2 + 14*a - 36. What is the smallest common multiple of z(-6) and 18?
72
What is the common denominator of 39/28 and 18/(144/(-40)) - 14253/(-2892)?
6748
Let d = -2117 - -677443/320. Let n = d + -20809/960. Find the common denominator of (-7)/14*77/(-3) and n.
6
Suppose -5*d = 25, 3*k + 16 = 5*d + 11. Calculate the 