or of w and -11/20.
100
Let z = -76/295 + 5993/590. Let t(j) = 2*j**2 + 3*j + 6. Let q be t(-4). Suppose -5*f = -s - 47, -q = s + f + f. What is the common denominator of z and s?
10
Let h = -4475/2 + 2192. Calculate the common denominator of 3432/5390 - ((-155)/(-350) - (-7)/(-49)) and h.
98
Let v = 22821/8 + -2864. Find the common denominator of v and -42/95.
760
Let t(g) = -g**2 - 16*g - 10. Let u be t(-14). Suppose h + 2 = u. Calculate the lowest common multiple of h and 14.
112
Let f(q) = 2*q - 10. Let n be f(6). Calculate the common denominator of (n + 0)/(40/17)*-2 and 8/11.
110
Suppose -20 = 4*j, 14*a + 5*j + 61 = 17*a. What is the smallest common multiple of a and 62?
372
Suppose 1603 = 3*u - 6389. Let h = -21343/8 + u. Calculate the common denominator of ((-2)/9)/((-4)/111) and h.
24
Let a = -1543/8 - -53573/280. Find the common denominator of a and -29/5.
35
Let b = 368/1571 + -16212055/17281. Let s = -940 - b. Calculate the common denominator of s and (-6 - -2) + (-97)/(-6).
66
Let d = 3133/345 + 13/690. What is the common denominator of -43/155 and d?
310
What is the common denominator of (11 + (22 - -12))*2/(-28) and 1 - ((-339)/(-18) - 2)?
42
Suppose 4*x + 8 = 0, -4*j + 16 = -2*x - 12. What is the lowest common multiple of j and 9?
18
Let p be -18*(51/6 - 0). Let w = -129 - p. What is the least common multiple of w and 78?
312
Suppose 80 = f + 2*l, -l + 0 - 6 = 0. Let s = 19 - 3. What is the least common multiple of f and s?
368
Let j(h) = h**3 + 16*h**2 + 16*h + 18. Let d be j(-15). Suppose d*t - 6 = 9. Calculate the least common multiple of t and 43.
215
Let h = -97 + 106. What is the least common multiple of 1 and h?
9
What is the common denominator of (10 - 1) + (-12834)/1368 and 79/60?
1140
Suppose -5*p = 4*c - 55, -5*p = -5*c - 0*c + 125. Let y(u) = u - 7. Let v = 22 + -1. Calculate the lowest common multiple of y(v) and c.
140
Suppose 0 = -4*w + 4*h - 4, 0*h - 12 = -4*h. Calculate the smallest common multiple of w and 5/(-30) - 38/(-12).
6
Suppose 2*s - 13 = -5. Suppose g + 14 = f, f = 4*f - s*g - 47. Calculate the lowest common multiple of 3 and f.
9
Calculate the common denominator of 45/812 and ((-303)/(-15))/(5 + -1).
4060
Suppose 35*t - 1 = 34*t. Calculate the smallest common multiple of 9 and (1 + t)*(-105)/(-30).
63
Suppose 3*k + 5*s = 29, -2*k - k + 3*s = 3. Suppose -2 = k*n - 23. Let y = n - 2. Calculate the least common multiple of 8 and y.
40
What is the common denominator of 2/6*66/(-16) and 62/225?
1800
Let u(k) = -k**3 + 2*k**2 - 4*k + 2. Let c be u(4). Find the common denominator of 52/21 and 18/(-30) + 0 + c/(-12).
210
Let c(q) = -q**3 - 9*q**2 - 14*q + 5. Let j be c(-7). Suppose 4*d + j*y = 56, -3*y - 33 = -10*d + 5*d. Calculate the lowest common multiple of 27 and d.
27
Let c = -411 - -421. What is the lowest common multiple of c and 29?
290
What is the common denominator of 154/(-160) + (-17 - -17) and -55/16?
80
Suppose -39 = 12*h - 315. Calculate the common denominator of h and 71/48.
48
Suppose 1632 = -90*q + 102*q. Calculate the least common multiple of q and 408.
408
Suppose 22*a + 3960 = 27*a. Suppose -17*y + a = -8*y. What is the lowest common multiple of 22 and y?
88
Let z = -119 - -131. Suppose 5*d = 14 + 6. Suppose 4*s - 4*l - 50 - 18 = 0, -5*s + d*l + 84 = 0. What is the lowest common multiple of s and z?
48
Find the common denominator of (-41)/(-246) - 44/(-6) and 31/50.
50
Let k = 10 - 10. Suppose 5*f = -5, 247 = -2*x - k*x + 5*f. What is the common denominator of 9/4 and x/(-4)*3/7?
4
Suppose 2*v = -4*g - 6, -3*v = -g - 11 + 13. Let x = -23/60 - 329/20. What is the common denominator of (v - 1)/(1/91*-8) and x?
12
Suppose 3*f = f + 2. Let s = 7 - -7. Calculate the lowest common multiple of s and (-1 - -4)/f - 1.
14
Suppose i = -5*b + 28, 3*i + 1 = -19*b + 21*b. Let d(z) = -4*z - 3. What is the least common multiple of i and d(-3)?
9
Let o = 940 + 188. Find the common denominator of -83/12 and (o/(-9))/(-4)*(-2)/24.
36
Let g = 2873/35420 - -55/161. What is the common denominator of -113/220 and g?
220
Let s = 136 + -207. What is the common denominator of 37/8 and (3/2 - 0)*s/(-39)?
104
What is the common denominator of 10/27 and -6 + (-10598)/(-1890) + (-6)/(-10)?
135
Suppose -4*l + 0*l = -116. Let m be 63*-4*(-5)/(-60). Let u = l + m. Calculate the lowest common multiple of u and 1.
8
Let d(z) = 8*z**2 - 71*z - 1. Suppose -5*n + a = -80, 5*a - 48 = 4*n - 7*n. Calculate the least common multiple of n and d(9).
16
Let k = 27 + -9. Let g(c) = c**3 - 9*c**2 + 3*c + 6. Calculate the smallest common multiple of k and g(9).
198
Suppose m - 10 = -3*a + 20, 0 = m + a - 22. Calculate the smallest common multiple of (-89)/(-4) - 4/16 and m.
198
Let v = -173/6 + 115/3. Calculate the common denominator of 2 + 113/(-10) - -9 and v.
10
Let h = 6 - 15. Calculate the common denominator of (-1)/(-7) + 3627/(-1820) and h/12*(-274)/9.
60
Let i(h) = -2*h + 18. Let r be i(8). Let j be (1 + -2 - 1) + r. Suppose -n + j*n = -8. Calculate the smallest common multiple of 8 and n.
8
Let z = 13189/18 + -725. Find the common denominator of z and (-6)/165*(-40)/(-64)*-62.
198
Let x = -9 + 9. Let g(p) = p + 3. Calculate the lowest common multiple of 3 + 1*(4 - -2) and g(x).
9
Let a(y) = y**2 - 6*y - 9. Calculate the smallest common multiple of a(8) and 174.
1218
Let m = -16 - -21. Suppose 8*y - m*y - 24 = 0. Suppose 5*l - 128 = -18. Calculate the smallest common multiple of l and y.
88
Calculate the common denominator of 22/12*10/(-3) and (6/(-27)*1)/(8*(-4)/(-664)).
18
Suppose 2*p - 36 = -2*p. Let z(d) = d**3 - 16*d**2 + 5. What is the least common multiple of z(16) and p?
45
What is the lowest common multiple of 44 and ((-12)/(-18))/((-21)/(-1386))?
44
Let y = 4637 + -64853/14. Find the common denominator of (-2)/(-54)*129/(-6) and y.
378
Let l = -2/437609 + 282257893/19254796. Let p = l + 1/132. Find the common denominator of 8/27 and p.
27
Let x be 2/2 - 28/((-2)/1). Suppose -x*a + 100 = -5*a. Calculate the smallest common multiple of 57 and a.
570
Let t be (-14)/(0 - (-3 + 1))*-1. Calculate the common denominator of -7/10 and (t/36 - -2)/(1/3).
60
Let o = -109 - -114. What is the smallest common multiple of 30 and o?
30
Suppose 0 = -2*o + 4*w + 14 + 2, -12 = 4*w. Let k(h) = h - 1. What is the lowest common multiple of 14 and k(o)?
14
Let m = 1/777 + 12345/518. What is the common denominator of m and -89/40?
120
Let a(w) = -2*w**2 + 23*w + 58. Let m(l) = -l**2 + 12*l + 29. Let d(i) = -2*a(i) + 5*m(i). Calculate the least common multiple of d(15) and 2.
14
Let k be (-8)/(-3 - (-1 - 1)). Suppose -4*p + k = 2*x, 3*p - 4*x - 11 = -3*x. Calculate the least common multiple of p and 2.
6
What is the common denominator of (95/25 + 0)/(48/(-30)) and -47/49?
392
Suppose 4*l = 5*p - 75, 4*p - 2*l - 60 = l. Suppose -12 = 12*d - p*d. Calculate the lowest common multiple of d and 2.
4
What is the lowest common multiple of ((-1440)/(-84))/(3/21) and 12?
120
Let g = 1361 + -1076. What is the least common multiple of 15 and g?
285
Let v = -240 - -123. Let n = v + 284. Find the common denominator of 39/7 and n/(-15) - 4/6.
35
Let x = -103 - -158. Suppose 3*g - 59 = x. What is the smallest common multiple of 6 and g?
114
Let y(p) = -p**3 - 6*p**2 + 5*p + 2. What is the least common multiple of y(-7) and 36?
144
Let k = -619/100 + 121/25. Find the common denominator of k and (-145)/(-30)*(1 + -10).
20
Let u = -869 - -8763/10. Suppose 14*z - 13*z = 18. What is the common denominator of ((-23)/z)/((-4)/30) and u?
60
Suppose -21 = -15*v + 84. What is the lowest common multiple of -4*((-18)/(-8))/(-3) and v?
21
Let a = 26 - 22. Suppose 2*k = -a*k + 48. Calculate the lowest common multiple of k and (-2)/(-6) - 53/(-3).
72
Let k(p) = -4*p. Let z be k(5). Let m be (z + (-12)/4)*-1. Let f = m - 15. Calculate the least common multiple of f and 32.
32
Suppose 1158 = -4*y + 1570. What is the smallest common multiple of 10 and y?
1030
Suppose 48 = -z + 7. Let y be (-7)/35 - z/5. Suppose 4*k - y = -0*k. Calculate the lowest common multiple of 11 and k.
22
Let y(f) = -f. Let a(z) = -z**3 + 4*z**2 + z + 2. Let l(h) = -a(h) + 3*y(h). Calculate the common denominator of 46/9 and l(6).
9
What is the common denominator of -163/60 and 279/(-24)*(129/(