*q + 10 = -5*q - 4*m, 0 = q + 4*m + 14. Let t be (q + -6)*(-1)/2. Calculate the least common multiple of (0 - t)/(2/(-12)) and 12.
12
Let p be -2 + -1 + 106293/41644. Let j = 1/1436 - p. Let b = 2285/116 - j. What is the common denominator of b and -41/4?
4
Let g = 1 - -26. What is the least common multiple of g and 33?
297
What is the least common multiple of -3*((-16)/(-12) - 2) and (-1*1)/((-3)/54)?
18
Let b(p) = -2*p - 1. Let z be b(-9). Suppose -109 = -5*q + x, -q - x + 6 = -z. Calculate the least common multiple of q and ((-12)/9)/(3/(-45)).
220
Suppose 19 = 5*q - 21. What is the least common multiple of q and 6 + -2*(-2)/(-4)?
40
Suppose -5*g = -g + 7200. Let x = 5336/3 + g. Let f = 1061/1474 + 1/134. What is the common denominator of f and x?
33
Let q(z) = -z**3 + 5*z**2 + 8*z - 4. Let c be q(6). Suppose -3*r - r + c = 0. Suppose -2*u = -r - 4. Calculate the lowest common multiple of u and 4.
12
Let m(v) = -4*v - 6. What is the lowest common multiple of 10 and m(-6)?
90
Let v(h) = 7*h. Calculate the least common multiple of (3 + -7)/(-4) + 1 and v(1).
14
Let f(p) be the second derivative of -p**3/3 + p**2 - 2*p. Let t be f(3). What is the least common multiple of 2 and (3/2)/((-1)/t)?
6
Calculate the common denominator of 26/3 and 12/(-66) - 1082/(-264).
12
Let i = 23 + -13. Let o = 1 + i. Let x = 14 + -9. What is the lowest common multiple of x and o?
55
Let c(h) = h**3 + 27*h**2 + 25*h - 3. Calculate the lowest common multiple of c(-26) and 11.
253
Let b = 21622447937/2072 + -10435544. Let c = 5/941 - 354/243719. Let w = c + b. Calculate the common denominator of w and 68/9.
72
Let d(a) = -a**2 + 3*a + 2. Let q be -16*(-1)/2*1. Let k be 22/8 + 2/q. Calculate the smallest common multiple of d(k) and 12.
12
Let m = 6 - -4. Suppose 519*g - 517*g - 32 = 0. Calculate the least common multiple of g and m.
80
Suppose 2*o = -3*o + 20. Suppose -2*h = 5*v - 52, -3*v + 9 = h - 19. What is the least common multiple of o and h?
16
Let l = 81 - 57. Suppose 4*z = 5*g - 3*g + l, 2*z = 2*g + 8. Let h(m) = -m**3 - 5*m**2 + m + 6. What is the least common multiple of h(-5) and z?
8
Let x = 15761/7 + -6764/3. Calculate the common denominator of -28/33 and x.
231
Let s = -39 + 55. Let k = s + -10. What is the least common multiple of k and 7?
42
What is the lowest common multiple of 48 and 10/(-45)*-3*9?
48
Let r(p) = 2*p**2 - 2*p - 4. What is the least common multiple of r(-2) and 6?
24
Let i = -40018 - -1920761/48. Calculate the common denominator of -83/18 and i.
144
Calculate the common denominator of -77/4 and 9/18 - (-43)/48.
48
Let t(p) = 0*p**2 - 2*p**2 - 2*p**3 + 2 + p - p. Let b be (-2)/(1 - 0/1). Calculate the least common multiple of t(b) and 9.
90
Find the common denominator of 40/(-22) - 12/(-8) and -75/38.
418
Suppose z - 14 = 3*c, -2*z - 3*z + 4*c = -70. What is the smallest common multiple of z and ((-48)/40)/((-1)/15)?
126
Let s be -2*(-2)/(-16)*4. What is the least common multiple of 28/2 + 4/2 and s/((3/(-10))/3)?
80
Suppose -2*n = -7*n + 25. Let m = 11 - n. Suppose -3*o - 21 = -m*o. Calculate the lowest common multiple of o and 1.
7
Suppose -3*j + 42 = -2*j + 3*n, -2*n - 98 = -4*j. Calculate the lowest common multiple of j and 3.
27
Let r be (-2)/(-4*1/(-8)). Find the common denominator of (-73)/6*3/4 and 3 + -22*r/(-24).
24
Let b(w) = -w**3 + 2*w**3 - 2*w**3 - 3 + 4*w**2 + 8*w. Let s be b(5). Find the common denominator of -151/6 and ((-3)/s)/((-2)/(-78)).
12
Let a(m) = -7*m + 2. Let x be a(-6). Calculate the common denominator of 0/1 + (-162)/x and 2/(-5) - ((-805)/200 - -3).
88
Suppose -4*r - 41 = -5*x, 0*x = 5*r - 3*x + 61. Let i = 24 + r. What is the least common multiple of 6 and i?
30
Let v be 4 + -2 + 0/(-2). Let j be (-3)/2 - 9/v. Calculate the common denominator of 32/12*1/j and -21/10.
90
Let w(h) = h**3 + 5*h**2 - 5*h - 2. Let o be (-30)/4*(-8)/(-10). Let z be w(o). Calculate the lowest common multiple of 9 and (-4)/z - (-18)/4.
45
What is the common denominator of 5/32 and (-7734)/(-936) - (-2)/13?
96
What is the smallest common multiple of 6 and (1 + -1 + 34)/1?
102
Let v be 322/268*-2 + 3. Let h = 9206585/598913 + -12118/1277. Let u = v - h. What is the common denominator of u and 17/2?
14
Let a = 1659/4 - 407. Find the common denominator of 205/8*2/(-20) and a.
16
Suppose 14 = 4*z + 3*z. Calculate the smallest common multiple of 4 and ((-42)/7)/(0 - z).
12
Find the common denominator of 426/(-108)*(-2 + 3) and 111/14.
126
Suppose 4*i - 24 = 4*x, -4*x + 30 = 5*i - 0*x. What is the least common multiple of i and 2?
6
Let l be 3 - ((-457786)/40 - -3). Let a = 11440 - l. Calculate the common denominator of a and 85/16.
80
Suppose 4*h = -h. Let o be (h + 0)/(1 - 2). Suppose -6*r + 11*r - 50 = o. Calculate the smallest common multiple of 14 and r.
70
Let n = -1/9717 - -236450/29151. Suppose -5*u = 73 - 23. Find the common denominator of u and n.
9
Find the common denominator of -125/12 and 3/(12*-1) + -3.
12
Let x(b) = b**2 - 7*b + 4. Calculate the lowest common multiple of 12 and x(9).
132
Suppose -2*u = s - 16, -6 = 2*s - 5*u + 7. Suppose 12 = 3*q + 3*h, 3*q - 8*q - 3*h = -28. What is the smallest common multiple of q and s?
24
Let p(l) = -5*l - 28. Find the common denominator of p(-3) and -27/7.
7
Suppose -3*c = -22 - 32. Let k be (-50)/18 - 4/c. What is the lowest common multiple of 11 and 9/k - -2 - -7?
66
Let r = 2243194957/360 - 6231091. Let l = r - 7/360. What is the common denominator of l and -119/12?
12
Let c = -6 + 8. Suppose -2 = -y - 4*g, y + c*y - 6 = g. Suppose v - y*b = 10, -3*v - 2*v = 5*b - 50. Calculate the least common multiple of v and 14.
70
Suppose -6 = 3*z - 6*z. Let w = -13 - 4. Let u = -15 - w. What is the smallest common multiple of z and u?
2
Suppose -v - 3*c - c + 86 = 0, 2*v + c = 158. Suppose -f = -6*f - 4*j + 106, f - j = 23. Find the common denominator of 9/(-6) + v/f and 23/4.
44
Let f(p) = p**2 + 7*p + 8. What is the smallest common multiple of 22 and f(-8)?
176
Let c(y) = -y**3 + 4*y**2 - y. Let z be c(4). What is the common denominator of (-376)/(-6)*2/(-32) and (19/z)/((-4)/20)?
12
Suppose 0 = -5*u - 5*w + 45, 4*w + w + 15 = 5*u. Calculate the smallest common multiple of 16 and u.
48
Suppose 3 = 4*t + y - 2*y, 0 = 2*t - y + 1. Suppose -5 = 2*w + 5*n - 31, 2*n = -t*w + 14. What is the least common multiple of w and 10?
30
Suppose 2*a = -7*j + 3*j + 26, -j - a + 9 = 0. Calculate the lowest common multiple of 37 and j.
148
Let f = -14 - -33. What is the least common multiple of f and 7?
133
Suppose -w + 4*i - 10 = -3*w, 7 = 5*w + i. What is the lowest common multiple of 14 + w*2/(-1) and 18?
36
Calculate the lowest common multiple of 18 and -8*(3 + 13/(-4))*6.
36
Suppose -c = -2*c + f, -5*f = 5*c. Let p be (c + -2)/(-2) - -9. Find the common denominator of 23/11 and (41/p)/((-4)/(-8)).
55
Let u = -3 + 4. Suppose -4*b = 3 + u. Calculate the lowest common multiple of 2/(-3)*(-5 + b) and 6.
12
Suppose 5*q - 22 = 4*o, 7 = 2*q - o - 0. What is the least common multiple of 20 and q?
20
Suppose 0*h = -2*h - 2. Calculate the common denominator of h/3 + (-58)/(-48) and 17/4.
8
Find the common denominator of (1 - 1 - -2)/(138/1081) and 47/33.
33
Suppose 5*l = 3*l + 6146. Let i = l - 42989/14. Find the common denominator of i and -31/11.
154
Let h = -67/14 + 2/7. Find the common denominator of 125/6 and h.
6
Suppose -42 = -4*y - 3*v, 0 = 4*y + 4*v - 47 + 3. Suppose -5*x - 1 = 4. Let o = 8 + x. Calculate the least common multiple of o and y.
63
Suppose -f + 3*f - 20 = 0. Calculate the least common multiple of f and 11.
110
Suppose y + 5*o = -785, 0*y + 5*o - 3190 = 4*y. Let h be y + (0 - -1 - 1). Let j = -4805/6 - h. What is the common denominator of j and -41/3?
6
Let m = -6563/3 - -2450. Let w = m - 258. Calculate the common denominator of w and 23/18.
18
Let c = 9247/8 - 1152. Let m be ((-1445)/10)/((-11)/2). Let z = m - 296/11. Find the common denominator of z and c.
88
Let n = 14482 - 260585/18. Find the common denominator of 34/39 and n.
234
Let x = 21/127 - -8851/2540. Calculate the common denominator of -27/2 and x.
20
Let m(q) = q - 2. Suppose 70 = -3*n - 95. Calculate the smallest common multiple of (n/10)/((-2)/8) and m(4).
22
Suppose 2*d + 6 = d. Calculate the common denominator of 4