d h.
18
Let w = -18 - -29. What is the common denominator of (-64)/(-128)*(95/w)/(-1) and ((-4)/10)/((-36)/(-695))?
198
Let p = 31 + -14. Suppose o - 15 = -2*o, f = 5*o - p. Calculate the common denominator of -9/8 and ((-3)/(-35))/(f/300).
56
Suppose 5*k = 4*g + 180, k - 5*g - 72 = -k. Let p(x) = -x**2 - 10*x - 9. Let z be p(-7). What is the smallest common multiple of (4/z)/(1/k) and 12?
12
Suppose 3*f - 3 = -24. Let q be 3/(0 + 3) + -4. Find the common denominator of q - ((-490)/(-4))/f and 58/9.
18
Calculate the smallest common multiple of 47/3 - (4 - (-40)/(-12)) and 201.
1005
Calculate the lowest common multiple of 77 and 8 - (-61 - (12 - 4)).
77
Suppose -x + 2*s + 1 = 0, s = -2*x + 3*s + 12. What is the lowest common multiple of 3/(-5) + 3/5 - -7 and x?
77
What is the common denominator of 63/22 and (-7 - 175/(-28))*(-62)/(-15)?
110
Let y = 14 + -8. Suppose y*z = 5*z - 1. What is the common denominator of 151/6 and -1 + 182/(-20) + z?
30
Suppose 2*l + 6 = 4*l. Suppose 11*s - 8*s - 99 = 0. Suppose 9*u - 12*u = -s. What is the least common multiple of l and u?
33
Let i(n) = -n**3 - 16*n**2 + 31*n - 27. Calculate the lowest common multiple of 63 and i(-18).
63
Let g = 11 + -6. Suppose 4*t = g*m + 65, -3*m + 55 = 3*t - 8*m. Let i(f) = -f**2 + 7*f - 4. What is the smallest common multiple of i(5) and t?
30
Let u = -286 + 3150/11. Let t = -1068 + 5278/5. Calculate the common denominator of u and t.
55
Suppose 6*c - 3*t - 99 = 4*c, -3*c + 149 = -5*t. Calculate the lowest common multiple of 32 and c.
96
Find the common denominator of 94/304 - (-5)/(-10) and 83/10.
760
Suppose -5*n - h - 100 = 4*h, 2*h - 93 = 5*n. Let m = n + 31. What is the smallest common multiple of m and ((-24)/(-10) + 0)/(42/140)?
24
What is the common denominator of 56/126 + 73/(-342) and -46/9?
342
Let o be 3 - ((-12)/3 - -4). Suppose 3*g = 2*z + 106, -12 = -o*z - 0*z. Calculate the smallest common multiple of g and 12.
228
Let r = -3 - -5. Let n = 709 + -705. Calculate the lowest common multiple of n and r.
4
Suppose -3*f = -7*f + 8. Suppose -f*w = w - 42. What is the smallest common multiple of w and 12?
84
Let g(l) = -2*l**2 + 41*l - 47. Calculate the smallest common multiple of 3 and g(16).
291
Let c(p) = p**2 + 2*p + 7. Suppose 2 = -2*o - 4. What is the smallest common multiple of 56 and c(o)?
280
Let d be (-2)/5*5*(-3 - -2). What is the common denominator of ((-4)/(-180))/(d/115) and 107/10?
90
Let c(t) = -2*t - 3. Let n be c(-3). Suppose -2*g - 57 - 9 = -n*i, g + 43 = 4*i. Let v = 7 - g. What is the smallest common multiple of v and 20?
340
Let p(f) = f**3 + 9*f**2 + f - 16. What is the least common multiple of p(-8) and 5?
40
Suppose 23*p - 22*p - 25 = 0. Calculate the lowest common multiple of p and 55.
275
Suppose -5*r + 13519 = -3*c, 5*r + 3548 = c + 17061. Let j = 1178 - r. Let m = -13756/9 - j. What is the common denominator of -13/8 and m?
72
Suppose -1188 = -334*g + 323*g. Calculate the smallest common multiple of 18 and g.
108
Let i = -2/367 + 10679/6606. What is the common denominator of i and 31/4?
36
Let r = -2/46120427 - 6390953689789/645685978. Let z = r - -9903. Calculate the common denominator of 87/20 and z.
140
Calculate the common denominator of 115/108 and (2 - 9) + 15/(-42).
756
Calculate the lowest common multiple of 4 - (4 - 6 - (1 + -1)) and 16.
48
Let g = 2948 + -548. Let m = g + -9649/4. What is the common denominator of -87/22 and m?
44
Let j = -1399/3 + 487. What is the common denominator of -23/8 and j?
24
Let y(g) be the first derivative of g**4/4 - 7*g**3/3 - 9*g**2/2 + 10*g + 1. What is the lowest common multiple of y(8) and 17?
34
Let f = -13/227 + -6401/3178. Find the common denominator of (-2)/((-588)/(-35))*-3*18 and f.
14
Let v = -16331/456 + 610/19. What is the common denominator of 87/20 and v?
120
Let y be (-6)/(-8) - (-21)/112*-4. Calculate the lowest common multiple of 3 and (y + 1)/((-12)/(-84)).
21
Let r(o) = o**3 + 7*o**2 + 6*o + 2. Let i = -161 + 191. What is the lowest common multiple of r(-5) and i?
330
What is the common denominator of 16/(-4) + (-3)/(-54)*137 and (-14)/104*21 - (-9)/36?
234
Suppose 5*z = -2*m + 90, -7*m + 3*m = 5*z - 100. What is the lowest common multiple of z and 40?
80
Let w = -2/863 + -31911/8630. Calculate the common denominator of w and 2 - ((-669)/(-744) - -2) - (-27)/72.
620
Suppose 4*j = -2*r + 38, 4*j + 2*r - 36 = -2*r. What is the lowest common multiple of 9 and j?
90
What is the common denominator of -145/24 and (52*(-3)/(-192))/(3/(-10))?
24
Let l = -1 + -2. Calculate the common denominator of 10/6 + (-2497)/(-66) and (-236)/12*l/(-7).
14
Let k = -1336 + 26709/20. Calculate the common denominator of (-215)/(-210) - 2/7 and k.
420
Suppose -4*n - 372 = -5*j, 0 = -0*j + 2*j + 3*n - 135. Suppose -2*w + z = -3*z - 30, 4*w = -4*z + j. Calculate the smallest common multiple of w and 8.
136
Calculate the least common multiple of (-4 + 78/15)*15 and 10.
90
Let h(i) = -46*i + 339. What is the lowest common multiple of h(6) and 6?
126
Suppose -7 = -j + 9. Let k = 19621 - 19549. What is the smallest common multiple of j and k?
144
Let b = 860 - 858. What is the least common multiple of b and 8?
8
Let f = 47 - 27. Suppose l - 10 + 3 = -2*i, l = 4*i - 29. What is the lowest common multiple of f and i?
60
Let d be (5 - 0)/(0 + 1). Suppose -67 = -d*w - 2. Calculate the least common multiple of w and 2.
26
Suppose -4*h = -3*p - 732, -3*h - 3*p = 2*p - 520. Let z = -13 - -28. Calculate the common denominator of -73/2 and (-3534)/h - (-2)/z.
2
Suppose g + 12 = -11. Calculate the common denominator of g/69*(0 + 2/(-13)) and 83/4.
156
Let s be (62/4)/(21/42). Suppose -5 = -6*u + s. What is the least common multiple of u and 9?
18
Let a(v) = -5*v + 4. Let u be a(-5). Let l = 33 - u. What is the smallest common multiple of 22 and l?
44
What is the lowest common multiple of 8 and 17 + (-2 - 5) + 1?
88
Let f = 8609 + -309959/36. Find the common denominator of f and -173/60.
180
Suppose 2 = 2*n - 6. Calculate the common denominator of 335/(-60) - n/6 and 188/64 - ((-45)/20)/9.
16
Let v be (-59600)/29804 - (-4)/6*3. Let d = 350213/59608 - v. What is the common denominator of d and 91/4?
8
Let m = -26 + 30. Suppose a + 466 = -4*g, 2*g + 458 = -m*a + 3*a. What is the common denominator of -3/2 and (-2245)/a + 6/15?
18
Let t be (-30)/165 - (-1588)/22. Let k be (-488)/t + (-4)/18. Calculate the smallest common multiple of (3 + k)*1/(-4) and 6.
6
Suppose -190*d + 215*d = 1800. Calculate the least common multiple of d and 288.
288
Let t be (-6)/(-9)*(-174)/(-4). Suppose -6 - t = 5*s. Let l = s - -19. What is the smallest common multiple of 12 and l?
12
Let p(s) be the third derivative of s**5/12 - 2*s**3/3 - 20*s**2. What is the least common multiple of 14 and p(2)?
112
Let w(d) = 3*d**2 + 5*d - 4. Calculate the least common multiple of w(-4) and 8 - 5 - (-2 + 0)/2.
24
Let x = -27 + 34. Suppose 0 = x*v + 13 - 55. Calculate the least common multiple of v and 6.
6
What is the lowest common multiple of (1/4 + 182/8)/((-16)/(-16)) and -1 + -1 + (6 - 0)?
92
Suppose -5*m = -4*c + 148, 5*c + 5*m - 44 = 3*c. Let o = -25 + c. What is the lowest common multiple of o and 4?
28
Let i = -205 - -211. Calculate the least common multiple of i and 111.
222
Suppose 85 + 11 = 12*d. What is the lowest common multiple of 8 and d?
8
Suppose -3*t - 3989 + 4097 = 0. What is the smallest common multiple of 144 and t?
144
Let n(q) = q**3 - 8*q**2 + 8*q + 1. Suppose -10*v - 1395 = -1615. Calculate the smallest common multiple of v and n(7).
88
Let v(m) = -m**2 + 7*m - 7. Let k be v(7). Find the common denominator of (-2)/k - 1870/175 and -30/11.
55
Let h be (-1 + -1 + 2)/(-2). Let s be ((-6)/(-15) - h)*5. Suppose 2*v + 32 = 4*l, s*l + 0*l - 5*v - 16 = 0. What is the lowest common multiple of 2 and l?
8
Suppose 5*f = r - 21, -27 = -2*r - 2*f - 3*f. Let w = 93 + -77. What is the smallest common multiple of w and r?
16
Suppose -9 = -32*y + 29*y. Suppose -3*h - 2*k = 2*k - y, 4*h + k - 4 = 0. What is the smallest common multiple of 2/3 + (-96)/(-18) and h?
6
Suppose 0 = o + 3 - 7. Calculate the lowest common multiple of 1 - (o*(-3 + -8) - 3) and 12.
48
Let z = -46 - -22. Let m = -29 + 19. Let c = m - z. What is the smallest common multiple of 8