ple of 20 and ((-2)/(3 + -1))/((-139)/3475)?
100
Suppose 3*z + 2 = -3*o + 7*o, 2*z - 14 = -5*o. Suppose -24 = -z*q - 8. What is the smallest common multiple of 4 and q?
8
Suppose 4*t - t + 30 = 0. Calculate the least common multiple of t/((2*1)/(-2)) and 10*(62/10*1 + (-282 - -276)).
10
Let c be (8/(-16))/((-1)/6). Suppose -6 - c = -3*g. Calculate the lowest common multiple of 4 and g.
12
Let t(l) = 15*l - 15. Let c be t(-2). Let u = c + 48. Calculate the lowest common multiple of u and 6.
6
Let h be (-3)/(3*(-3)/21). Let z = 7007 + -98193/14. Find the common denominator of ((-123)/40 - h) + (-2)/(-10) and z.
56
Calculate the lowest common multiple of 42 and 1*(40/7 - 10/(-35)).
42
Let m = 18 - 24. Let t = 18 - 10. Calculate the least common multiple of t and ((-3)/m)/((-2)/(-24)).
24
Suppose -4*b = -b - 21. What is the common denominator of 0 + b*(-14)/(-16) and 11/2?
8
Let v = -54 + 61. What is the least common multiple of v and 3?
21
Let o = -5160682685337233/53496 + 96468571216. Let l = -1/5944 - o. Calculate the common denominator of l and -53/6.
18
Suppose 2*v - 2 = 2. Let d(a) = 2 + 10*a - v + 3 - 2. Calculate the smallest common multiple of d(1) and 1.
11
Let b = -104/235 + -20399/3290. Let u be 16/28*(16 + -2). Find the common denominator of 10/u*904/(-100) and b.
70
Suppose -4*b - 5*i = -5*b + 29, 0 = 5*b - 5*i - 125. Suppose -9 = -4*l + 3*j, j - 8 = -l + 3. What is the common denominator of b and l/(-21) + 401/56?
8
Suppose -v + 89 = 349. Calculate the common denominator of -53/18 and v/(-720)*(-66)/(-4).
72
Let i = -53948/12353 - -4/1123. What is the common denominator of i and 53/122?
1342
What is the common denominator of ((-216)/160)/(6/14) and -33/10?
20
Suppose 12*s - 7*s + 95 = 0. Let f = s - -41. Calculate the common denominator of -65/18 and 30/f*(-9)/(-30).
198
Let k(v) = v. Let j(p) = -22*p + 1. Let n(u) = 2*j(u) - 2*k(u). Let y be n(-3). Find the common denominator of (-4)/14 + 635/y and -51/20.
20
Suppose -7*i + 104 = i. What is the least common multiple of 29 and i?
377
Let c = -997 - -1009. Calculate the smallest common multiple of c and -1*2 + 0 - -20.
36
What is the common denominator of -80/33 and 2 - -2 - 1 - (-145)/(-60)?
132
Let u(n) = -3*n + 4. Let i(q) = 4*q - 3. Let h(p) = -2*i(p) - 3*u(p). Let t be h(6). Suppose t*j + 24 = 4*j. Calculate the lowest common multiple of 1 and j.
6
Calculate the common denominator of 37/22 and (-6)/126*-3 + (-273)/196.
44
Calculate the common denominator of 2/28 + 1251/(-168) and -73/136.
136
Let s = 12951460477665847/219168 + -59093756742. Let y = -47/288 + s. Let b = y + -11407/3044. Find the common denominator of -143/12 and b.
12
Let x(w) = w**2 + 14*w + 26. Let r be x(-12). Suppose -5*c + 55 = 3*k - 0*k, -4*c = r*k - 44. What is the smallest common multiple of 12 and c?
132
Let c(b) = 2*b**2 + 7*b + 7. Let p = -23 + 24. Find the common denominator of c(-6) and 1911/104 - p/(-8).
2
Let z(p) = p**3 - 7*p**2 + 2*p - 7. Let a(x) = 5*x**2 - 5*x - 7. Calculate the least common multiple of a(2) and z(7).
21
Let i = 138 - 102. Calculate the lowest common multiple of i and 18.
36
Let m = -589 - -599. Calculate the smallest common multiple of m and 80.
80
Let k be (-11 - -2)*-7 - 3. What is the common denominator of 321/k - 1/(-2) and -83/14?
140
Let m = -276137/285 + 4851/5. Let z = -6143/912 + m. What is the common denominator of z and 117/10?
80
Let r = 8003/9 + -888. Calculate the common denominator of 1482/(-108) - (2 + (-51)/27) and r.
18
Suppose -j + 18 = j - 4*b, 3 = -3*j - 4*b. Suppose j = -4*w + 51. What is the lowest common multiple of w and (-22)/(-2) - (0 + -1)?
12
Let w = -51418 + 6118696/119. Calculate the common denominator of w and 11/2.
238
Let d(y) = 3*y**2 + 12*y + 6. Let b(i) = -2*i + i + 2*i + i**2 - 1. Let n(t) = -2*b(t) + d(t). Calculate the smallest common multiple of 2 and n(-10).
8
Suppose -6*i + 10*i = -g - 36, -7 = 2*g - 5*i. Find the common denominator of g and 37/10.
10
Find the common denominator of 415/(-30) - -1*1 and (3/45)/(2/18).
30
Let s = 251 + -196. What is the least common multiple of 35 and s?
385
Let b be (8/3)/(1/(-774)). Let h = 1317 + b. What is the common denominator of (-2)/5 + h/120 and -105/22?
88
Let w(j) = 3*j**2 - j - 2. Let t be w(-2). Let l = -69 + 74. Suppose i - t = -l. Calculate the smallest common multiple of i and 6.
42
Suppose 2*r + 177 = 5*q - 0*r, 33 = q + 2*r. What is the least common multiple of 55 and q?
385
Calculate the common denominator of (-366)/(-8)*(-8)/(-84) and 45/2.
14
What is the common denominator of (-50)/(-12) + (-177 - -184) and 33/149?
894
Let j(n) = n + 2. Suppose 2*t - 2*p + 9 - 23 = 0, 4*t = -2*p + 58. What is the smallest common multiple of t and j(0)?
12
Suppose -2*j + 4*f + 52 = f, -j = 4*f - 4. Let l = -5727 + 57373/10. What is the common denominator of 30*(-4)/(256/j) and l?
40
Let d(t) = -3*t**3 - 3*t**2 - 3*t - 1. Let x be d(-1). Suppose -a - 20 = -x*a. What is the lowest common multiple of a and 20?
20
Let r = -15 + 16. Suppose -7 = o + r. Calculate the common denominator of -107/10 and ((-340)/(-32))/(18/o).
90
Let y(t) = -t**3 - 2*t**2 + 3*t. Let o be y(-3). Suppose 4*g + o*g = 4. Let x(z) = z**3 + 115*z**2 + 3*z + 4. What is the lowest common multiple of g and x(0)?
4
Let w = -290815/18 + 16161. What is the common denominator of w and -65/896?
8064
Suppose -3*k - 4 + 28 = 0. Calculate the least common multiple of 0 + (0 - -13) + 1 and (-7 - -8)*k*1.
56
Suppose -w - 5*g + 11 = 0, 5*g + 3 = 5*w + 4*g. Let z = 4 - 0. Calculate the lowest common multiple of z and w.
4
Suppose 8*l - 53 = -13. Suppose -r - 6 = -l*j, 3*r - 2*j = -0*j + 8. Calculate the smallest common multiple of (-1 - 1/(-2))*-4 and r.
4
Let g = 4334 - 104059/24. What is the common denominator of g and -1 - (-5 - (-426)/54)?
72
Calculate the common denominator of (0 - (-2)/6)*(-308)/33 and 23/219.
657
Let t be 351/1 + (4 - 6). Let c = 4225/12 - t. What is the common denominator of 91/10 and c?
60
Let g = -11 - -16. Suppose -2*h = -g*h. Let l(v) = -v**2 + 5. What is the lowest common multiple of 6 and l(h)?
30
Suppose 72 = -o - 8*o. Let q = 14 + o. Suppose 2*c = q, -5*u + 6*c = c - 75. Calculate the least common multiple of u and 4.
36
Calculate the common denominator of -4 + 7 - 20/(-9) and 0 - 315/972*12/8.
72
Let g = 8646 - 121641/14. Let z = g + 1245/28. Calculate the common denominator of z and -19/12.
84
Suppose -4*u + 85 = u - g, 0 = -2*u + g + 31. Suppose 4*c - 2*c + 5*b = 30, 0 = 2*c + 4*b - 32. What is the smallest common multiple of u and c?
180
Let p = 55509930836 - 887567373717/16. Let f = p - 36955764. Let j = f - 14221. Find the common denominator of 25/6 and j.
48
Let a(q) = 7*q + 29 - 17 - 4*q**2 + 4*q**3 - 20. What is the smallest common multiple of a(2) and 5?
110
What is the common denominator of (-46809)/15078 + 12/4 and 61/12?
4308
Suppose -3*t - b + 50 = 0, -4*t = 2*b - 28 - 36. What is the smallest common multiple of 12/t*(-15)/(-2) and 8?
40
Let k be ((-15978)/(-9))/(1 + 3/45). Let j = k + -1660. What is the common denominator of (-4)/6*23/4 and j?
24
Let s be (-16)/4 - -23 - 4. Let y = -15 + s. Suppose 4*c - 4*m - 80 = -y*c, 5*m - 44 = -3*c. What is the least common multiple of c and 20?
180
Let m(a) = 37*a + 223. Calculate the lowest common multiple of 90 and m(-4).
450
Let n = 56 - 71. Find the common denominator of n and 40/29.
29
Let q = 1/11286 + 298999/902880. Calculate the common denominator of q and 34/7.
1120
What is the least common multiple of (162/6 + -15)/6 and 16 - (1 + (-1 - 2))?
18
What is the common denominator of -45/11 and 774/(-308) - 13/(546/(-12))?
22
Let m(a) = -3*a + 2. Let p be m(-1). Suppose p*w + 1932 = -2878. Calculate the common denominator of (-24)/84 + w/308 and -25/8.
88
Let k(b) = b**2 - b - 2. Let v(p) = p**2 - 1. Let t(y) = 7*k(y) - 6*v(y). Let q be t(9). Calculate the common denominator of -75/46 and ((-18)/q)/(11/(-77)).
230
Let l = 2/81081 - -4027015/324324. Let g be -4*9/24*-2. Find the common denominator of (-1518)/252 + (-1)/g and l.
84
Let p(z) = -z**2 + z + 19. Let w be p(4). Find the common denominator of 1*-1*(w - (-76)/(-14)) and 49/12.
84
Let s = -5051/56 - -676/7. Suppose -4*o - 4*l = -292, 0 = -4*l + 4. Find the common denominator of s and 2 - 3*291/o