 (-4)/(3*2/(-12)). Let j be 5/(-2)*(-2 + 0). Suppose 7 = j*t - z. Calculate the smallest common multiple of 2 and t.
6
Suppose 2*y - y = 5*i - 39, -3*i - 2*y = -26. What is the common denominator of -25/4 and 2/i + 1413/(-396)?
44
Let c = -128/11 - 7/110. What is the common denominator of c and -59/9?
90
Suppose -7*s = -6*s - 16. What is the lowest common multiple of 94 and s?
752
Let q(g) = 2*g**2 - 12*g + 34. Calculate the smallest common multiple of 12 and q(4).
36
Suppose 0 = 5*n - 4*n. Suppose n = 4*u - 7 + 87. Calculate the common denominator of u and 59/7.
7
Let b = -7 + 23. Suppose 19*p + 64 = 23*p. What is the smallest common multiple of p and b?
16
Let q(u) = u**3 - u**2 - 12. Let l be q(0). Let n be 8/l - (-466)/375. Let p = 6299/1000 + n. Calculate the common denominator of 31/12 and p.
24
Let o be (-60)/9*(-3)/2. What is the common denominator of -89/8 and (2 + 63/o)*1?
40
Let o = -1/138 - 2378/345. What is the common denominator of o and ((-26)/(-312))/((-1)/10)?
30
Let l = 1 + 4. Suppose 0 = 5*q + l*o + 160, -o = -7*q + 2*q - 184. What is the common denominator of 32/q*(-14)/8 and 22/5?
45
What is the lowest common multiple of (16/(-48))/(1/(-18)) and 33?
66
Let z = 416/15 + -397/12. Suppose -3*c - 140 = -5*c. Calculate the common denominator of 6/15 - (-397)/c and z.
140
Let a be (-114)/165 - (-4)/6. Let p = a - 175/132. Calculate the common denominator of p and (-10)/(-6)*19/4.
60
Let g = 20651 + -9967. Suppose 0*w + g = 3*w + z, 0 = 2*w + 4*z - 7126. Let c = 78383/22 - w. Find the common denominator of 1/22 and c.
22
Suppose 0 = -3*b + 1697 + 4057. What is the common denominator of ((-1)/36)/(7/b) and 79/(-18) - 0/(-1)?
18
Let a = -38402 + 103070973/2684. Let q = a + -148987/13420. Find the common denominator of q and 83/14.
70
Let c = 8563/312 + -213/8. Let j = -3301/78 + c. Calculate the common denominator of j and 43/4.
4
What is the lowest common multiple of ((-100)/(-15))/((-2)/(-6)) and 20?
20
Let x = -5204/4131 - -2/4131. Calculate the common denominator of -143/30 and x.
270
What is the common denominator of 33/5 and (-4)/(-3)*6/36?
45
Let r = 387763/4440 - 1/1480. Let l = r - 84. Calculate the common denominator of 6/(-8)*(-4)/7 and l.
21
Suppose 2*q - w = -2, -2*w + 4 = -3*q - 0*q. Suppose -3*b + 2*b + 30 = 0. Suppose q*u - b = 3*u. What is the common denominator of 145/6 and u?
6
Let s(j) = j**3 + 5*j**2 + 4*j + 4. What is the least common multiple of s(-4) and 9?
36
Let y(f) be the first derivative of f**4/24 - 2*f**3/3 - f**2 - 1. Let c(a) be the second derivative of y(a). Calculate the least common multiple of c(7) and 2.
6
Let d(q) = -q - 3. Let i be d(-3). Let p = i - 0. Suppose 0*a + a + 2*y - 18 = 0, -5*a - 4*y + 72 = p. Calculate the smallest common multiple of 10 and a.
60
Let g be (-3)/(-6) - 1/2. Suppose -35 = -5*w + 3*j, g*w + 4*j - 50 = -3*w. Let d(o) = -13*o**3 - 2*o**2 - o. What is the least common multiple of w and d(-1)?
60
Let y(t) = t**3 - 3*t**2 - 2*t. What is the least common multiple of y(4) and 7?
56
Let u = 60 - 42. Calculate the least common multiple of u and 20.
180
Let w(k) = k**2 - 2*k + 7. Let t(l) = -2*l**3 - 7*l**2 - l - 4. Calculate the lowest common multiple of w(5) and t(-4).
176
Let u(p) = p**3 + 5*p**2 + 3*p - 3. Let g be 2 + -3 - (-2 - 0). Let w(r) = -2*r**3 - 1. Let l be w(g). What is the smallest common multiple of 18 and u(l)?
18
Let f(q) = -12*q + 7. Let w be f(6). Find the common denominator of -83/8 and w/(7/((-7)/2)).
8
What is the common denominator of (1 + 442/(-22))*8/(-32) and -55/62?
682
Suppose 6*n - 55 - 101 = 0. Calculate the least common multiple of n and 14.
182
Suppose 5*k - 4*k - 6 = 0. Suppose k = -0*u + 2*u. What is the least common multiple of u and 7?
21
Let i be (1 - 5/(-3))*3. Let p = -1457 - -5739/4. Find the common denominator of 0 + 0 + 11/i and p.
8
Let n(k) = -3*k - 14. Calculate the lowest common multiple of n(-7) and 13.
91
Let m be 4/(-14) + 44/7. Let l = -25487/2148 - -140/179. What is the common denominator of (-4)/m + (-358)/84 and l?
84
Let z = -82 + 90. What is the lowest common multiple of 202 and z?
808
Let y be (-865)/(-4)*(-3)/45. Let w = y + 803/36. Let a = 21 + 7. Calculate the common denominator of a and w.
9
Let h be 4/12*(0 + 6). Suppose 7*z = h*z. Suppose f - 5*x + z*x + 5 = 0, -24 = -3*f + 2*x. What is the smallest common multiple of f and 14?
70
Suppose 3*i - 6 = 3*b + 3, 2*i - 6 = 3*b. Let r = -17 + 13. Let g = 15 + r. What is the lowest common multiple of i and g?
33
Suppose 5*z = 3*c + 33, 4*c - 4 + 37 = 3*z. What is the lowest common multiple of (c/2)/((-6)/16) and 8?
8
Calculate the common denominator of -5/2 and 950/266*(-35)/12.
12
Suppose -39 = -2*a - 3*q, 0*q = 5*a - 5*q - 35. Let i = a + -6. Let y = 11 - 10. What is the lowest common multiple of y and i?
6
Let p be 3/6 - (-2682)/(-5380). Let l = 10487/2690 + p. Find the common denominator of l and 1*-1 - (-912)/256.
80
Let f = -397 + 731/2. Find the common denominator of f and 57/95 + (-374)/(-60).
6
Let z = -19033/12 - -1585. What is the common denominator of -15/8 and z?
24
Let g(b) = -b**3 - 4*b**2 - 7*b - 2. What is the lowest common multiple of g(-3) and 20?
20
Let q = 12 + -4. Calculate the common denominator of (-273)/(-196)*4/6 and q/32*(-11)/3.
84
Calculate the common denominator of -68/21 and (-728)/105*(1/(-2) - 0).
105
Let g(p) be the second derivative of -p**4/12 - 11*p**3/6 + p**2/2 + 2*p. Calculate the lowest common multiple of 1 and g(-10).
11
Let w = -10 + 14. What is the least common multiple of w and 18?
36
Let a(c) = 1093*c**2 + 3*c - 1. Let s be a(2). Let y be 6/15 + s/45. Let m = -111 + y. What is the common denominator of m and 51/4?
12
What is the common denominator of (19/(-4))/(3/(-9)) and -93/2?
4
Suppose 2*c - h = 38, -3*c + 2*h + h + 60 = 0. What is the least common multiple of 33 and c?
198
Let m(w) = w**2 - 11*w + 9. Let p be m(11). Let c = 15 - p. What is the lowest common multiple of c and 13?
78
Suppose -2*m + 7*m = 0. Let a(r) = -13*r - 5*r + m*r. Calculate the lowest common multiple of a(-1) and 16.
144
Let s(k) = -79*k**2 + 79*k**2 - 3*k + k**3 + 2. Let v(l) = -l**3 + 4*l**2 - 2*l + 1. What is the lowest common multiple of s(3) and v(3)?
20
Suppose -45 = -19*a + 16*a. Calculate the lowest common multiple of a and 9.
45
Suppose 5*s = 2*s + 24. Suppose -t = 5*m - 30, 2*t - 5*t - 24 = -4*m. Calculate the lowest common multiple of m and s.
24
Let v = 26 + -75. Find the common denominator of v and 13/6.
6
Calculate the common denominator of 51/8 and (8/24)/((-12)/1287*-3).
24
What is the common denominator of (-4)/(-10) - 307/(-70) and ((-1)/12)/((-1)/(-137))?
84
Let l be (-121524)/(-21357) - (-12)/(-28). Let b = -17/113 + l. What is the common denominator of b and 4/(-3)*148/(-16)?
9
Let y = -2420/7 + 348. Calculate the common denominator of -26/5 and y.
35
Suppose 4*m - 65 - 7 = 0. What is the least common multiple of 28 and m?
252
What is the common denominator of 43/(-5)*15/6 and 101/14?
14
Let j(s) = 3*s**2 - 5*s + 4. Let c be j(2). What is the smallest common multiple of (c - -35) + (-2 - 1) and 10?
190
Let u = -5 - -15. Suppose -2*x - u = -4*x. What is the smallest common multiple of 7 and x?
35
Let c = -3485/99 + 280/9. Find the common denominator of 77/6 and c.
66
Let p = -72/89 + 3479/890. Calculate the common denominator of -89/36 and p.
180
Let n(o) = o**2 + 2*o + 9. Let t be n(-6). Suppose 0 = -2*m + 5*u + t, 0*u + 3*u + 23 = 2*m. What is the smallest common multiple of m and 9?
36
Let z(p) = 2 + p**3 + p - p**3 + p**3 + 4. Let f be z(0). Calculate the common denominator of -47/7 and 2/(-3)*f/(-14).
7
Let l = -3781/2 + 1851. Let s = -518643/22 - -23579. Calculate the common denominator of l and s.
22
Let b(n) = n**3 + 2*n**2 - 2*n + 3. Let s be b(-3). Suppose s*f - 3*f + 36 = 0. Suppose -a - f = -4*a. Calculate the lowest common multiple of a and 7.
28
Find the common denominator of (-1)/3 - 789/(-72) and 35.
8
Suppose -d + 3*i = 2*d - 15, 4*i = -3*d - 13. Suppose 0 = -3*n - d + 7. What is the smallest common multiple of 11 and n?
22
Let d(a) = -a**2 - 19*a + 5. What is the smallest common multiple of d(-19) and 17?
85
Let j = -1018 - -4029/4. Find the common denominator of j and 25/22.
44
Let v be (4 + -1)*4/6. Suppose 