Let x(y) = 1 - 4 - 2*y + 5. Let q be x(-5). Suppose 0 = 5*l - 4*p - 18, 5*l + 0*p - q = p. Calculate the least common multiple of 12 and l.
12
Let h(m) = m**3 - 7*m**2 + 2. Let v be h(7). Suppose -3*i + 4*s = -12, v*s + 15 = -2*i - 3*s. Calculate the least common multiple of -6*(i + (-2)/3) and 8.
8
Suppose j + 17 = 53. Suppose -c = 4*u - 21, u - 4*c + j = 5*u. Calculate the lowest common multiple of 6 and 20*((-2)/u + 1).
30
Let u(f) = f + 1. Let a be 52/44 - (-2)/(-11). Let c be u(a). What is the smallest common multiple of 19 - 1 - c - -2 and 12?
36
Let b = 60649/22 - 2756. Calculate the common denominator of 2/5*118/8 and b.
110
Find the common denominator of (-102)/9*-3 - 2 and -51/11.
11
Let c = 2/1161 + -47605/2322. What is the common denominator of -15/16 and c?
16
Let x = -26074008/1385 + 18826. Let y = -131563/8310 - x. Find the common denominator of y and 9/(-48)*(26 + 0).
24
Let q = -7 + 10. What is the lowest common multiple of 6 and q?
6
Suppose 4*s + 0*s = 132. Suppose 5*r - s + 10 = -o, -4*o + 2*r + 158 = 0. Find the common denominator of o and -65/6.
6
Let n = -11 + 6. Let q = n + 15. Find the common denominator of -10/11 and 5*q/12 + -3.
66
Find the common denominator of 29/12 and (-11*3)/(4/(96/270)).
60
Find the common denominator of (5/50)/((-1)/(-97)) and 59/18.
90
Let g be 7 + (-8)/(-12)*3. What is the common denominator of (-94)/g*(-18)/24 and 6/8 - (-17)/(-44)?
66
Let f(b) = -b**3 - 9*b**2 + b + 13. Let a be f(-9). Let v be (-2)/a*6 - -31. Find the common denominator of 10 and 2*(1 - v/(-10)).
5
Suppose 3*u = 24 - 3. Calculate the smallest common multiple of u and 7.
7
Let g = -7 - -8. Suppose 0 = -v - 2*v + 3*i + 21, -v + g = -3*i. What is the lowest common multiple of v and 2?
10
Let p = -1 - -11. Calculate the lowest common multiple of p and 9.
90
Let p = -31753/7620 - -1/2540. Calculate the common denominator of 17/44*-1*-2 and p.
66
Let o(m) = -19097*m**3. Let v be o(-1). Suppose -3*h - 4*q - 11456 = -0*h, -5*h - v = 3*q. Calculate the common denominator of 23/20 and h/336 + 2/7.
60
Suppose 4*x = 39 + 25. What is the least common multiple of 16 and x?
16
Let g(z) = 2*z**3 - 8*z + 11 - 10*z**2 - 2 - z**3 - 2*z**3. Let q be g(-9). Suppose 3*w - 5*w + 20 = q. Calculate the lowest common multiple of w and 12.
60
Find the common denominator of ((-10)/(-75))/(4/(-327)) and 76/3.
30
Let b be (-3)/(-12) + 318274/54880. Let o = b + 3/5488. Find the common denominator of 19/18 and o.
180
Let b(r) = 3*r**2 + r - 3. Let f = 4 - 7. Let a be b(f). Suppose -o - 2*o = 3*j - a, j - 2*o = 10. Calculate the lowest common multiple of 4 and j.
8
Let x = 44926/11 + -4081. Calculate the common denominator of x and 93/10.
110
Let s(r) = r - 2. Let c be s(4). Calculate the common denominator of (2/5)/(c/(-13)) and (-21)/7 + (-134)/20.
10
Let a be 165/(-20) + 2/8. What is the lowest common multiple of 1 and 2 + 1 + -2 - a?
9
Suppose -2*d - 3*k = -2*k + 10, -2*d - 2 = -3*k. Let t = 7 + d. What is the common denominator of 69/2 and 20/3 - (-2)/t?
6
Suppose -m + 31 = 3*w - 8*w, 28 = m - 4*w. Suppose 0 = -5*n + 8 + 12. What is the lowest common multiple of m and n?
16
Let b be 2404/5*(-30)/(-12). Let i = 9629/8 - b. Find the common denominator of i and 7/4.
8
What is the common denominator of 37/9 and (-2)/(-4) - (-3800)/2160?
27
Let o be 9/3 + (-582)/88. Let v = o + -3/22. What is the common denominator of -49/5 and v?
20
Suppose -2*n - 4 + 23 = f, 0 = -4*n + 5*f + 31. Let h be (-6)/4*(-42)/n. Let l = h - -1. Calculate the smallest common multiple of l and 6.
24
Suppose -4*x = -3*s - x - 6, x = 4*s + 17. Let l = 3 + s. Find the common denominator of 109/l*(-1)/(-10) and -91/10.
20
Let d be 46/(-12) + 7/(-42). Find the common denominator of 43/20 and (-423)/120 - d/10.
40
Let d(o) = -5*o**2 - 5. Let g be d(-4). Calculate the common denominator of -3 - -2 - g/(-4) and 1 + (-7)/((-42)/(-128)).
12
Find the common denominator of 41/20 and (-433)/28 + (-1 - 5/(-7)).
20
Let x be (-6004)/198 - 4/18. Let n = 32 + x. Find the common denominator of 2/4 + (-5)/4 and n.
44
Calculate the smallest common multiple of 18 and (-8)/12*(-4 + 1).
18
Let h be 2526/(-10) + -1 + -3. Let a = h + 258. What is the common denominator of a and 21/5?
5
Let m = -4 - -3. Let z = -8 + 6. Calculate the common denominator of m/(-9)*(3 + z) and -7/4.
36
Let h be (-66)/(-8) - 4/16. What is the least common multiple of 4 and 16/(-12)*(-108)/h?
36
Let j be 15279/(-36) - (-1)/(-3). Let q(x) = 436*x - 2. Let i be q(-1). Let s = i - j. Find the common denominator of -31/6 and s.
12
Calculate the lowest common multiple of 3 and ((6 - -3)/(-3))/1 - -10.
21
Let a = -76 - -22. Let s = 91/2 + a. What is the common denominator of 1/9 and s?
18
Suppose 3*u - 8*u + 5*l = -175, -2*u - 3*l + 85 = 0. Suppose 0 = 4*m - 42 - u. Calculate the smallest common multiple of 10 and m.
20
Let o = 32 + -545/17. Calculate the common denominator of o and 89/4.
68
Suppose -5*n = -3*f + 7, 2 = 2*n - 0. What is the common denominator of 2/16 + 2/f and -49/6?
24
Suppose 0 = 2*b + 2, 5*t - 3*b = -0*b + 63. Find the common denominator of (9/(-4))/(t/(-248)) and 7/4.
4
Find the common denominator of 103/26 and 14/(-6*64/(-60)).
208
Suppose 4*a - 2*f - 10 = 0, -4*a + 0*f - 3*f = -25. What is the lowest common multiple of 3 and a?
12
Find the common denominator of (-6)/21 + (-675)/14 and ((-127)/(-4))/(39/(-26)).
6
Suppose -2*v - 2*v = -5*g + 3, -5*g + 21 = 2*v. What is the smallest common multiple of g and 10?
30
Let p = 26913/16 + -1681. Find the common denominator of 53/10 and p.
80
Let g = 36966 + -32419178/877. Let n = -83347/7016 + g. Calculate the common denominator of (-1)/3*66/28 and n.
56
Suppose 0 = -3*j + 9, 4*g + 3*j - 39 = -g. What is the lowest common multiple of 2 and g?
6
Let m = 9 + -7. Let b = -11 - -13. Suppose b*r + 2*r - 8 = 0. Calculate the smallest common multiple of r and m.
2
Let x(p) = -p**3 + 18*p**2 + 18*p + 28. What is the least common multiple of x(19) and 27?
27
Let c = 3 + -1. Let k(b) = b**3 - 8*b**2 - b + 10. Let y be k(8). Suppose 3*l - 8 = m, -y*m - 5*l + 14 = -l. Calculate the smallest common multiple of m and c.
2
Suppose 3 = -2*t + 2*d + 23, 40 = 3*t + 2*d. What is the smallest common multiple of t and 8?
24
Let m(b) = -2*b - 13. Suppose 0 = 4*r - 9*r - 60. What is the least common multiple of m(r) and 6?
66
Let d(k) = 2*k**2 - 6*k + 10. Calculate the lowest common multiple of d(5) and 16.
240
Let z = -1/2586 - 64003/1293. Calculate the common denominator of z and -25/12.
12
What is the common denominator of (-7 - -6)/(10/(-2)) and -53/8?
40
Let l = 165 + -163. Calculate the smallest common multiple of 140 and l.
140
Let n be 4/68*(1 + 140). Let u = 103/119 - n. Calculate the common denominator of u and -57/8.
56
Suppose -15 = -4*w + 5*m + 15, 5*w + 5*m = 60. Let o = -7 - -11. What is the smallest common multiple of w and o?
20
Calculate the common denominator of -23 - ((-95)/(-30) + -3) and -37/30.
30
Let w = 340 - 2143/6. Calculate the common denominator of w and -61/12.
12
Let o = 1117/900 - -2/225. Calculate the common denominator of ((-20)/6)/(12*(-10)/855) and o.
4
Let z = -74 + 132. What is the common denominator of -87/20 and (-2)/(-4) - z/(-16)?
40
What is the common denominator of (0 - 1) + 23/33 and 97/30?
330
Let l be (21/2 + 0)*2. Let m = 12 - l. Calculate the lowest common multiple of 24 - (-6)/m*3 and 20.
220
Calculate the common denominator of (909/(-45))/(129*(-4)/(-30)) and 9/22.
946
Suppose 20 = 3*y + 8. Suppose -4*t + 5*j = -79, t + 2*t - 2*j = 54. Calculate the lowest common multiple of y and t.
16
Suppose -5*v + 11 = 2*r, v = -2*r - 3*v + 12. Let x = 3 + -2. What is the least common multiple of x and r?
8
Let u be 1 + 25 - (-5 - -6). Let i = 36 - u. Calculate the lowest common multiple of i and 10.
110
Calculate the common denominator of 119/24 and (-4)/((-960)/(-378)) + 0.
120
Let r = 4296 + -6313. Let d = -44417/22 - r. Let s = -818 + 3295/4. What is the common denominator of d and s?
44
Let q(f) = f**3 + 7*f**2 + 9*f + 2. Let i be q(-6). Calculate the least common multiple of 22 and 31/4 + (-4)/i.
88
Let j(d) = -4*d. Let m(o) = 1. Let y(f) = -j(f) + 2*m(f). What is the lowest common multiple of y(3) and 16?
112
Let q = 10 + -6. Suppose q*j = x + 