e (0 + -11)/((-2)/12). Suppose -5*p + 4 + 6 = 0. Suppose p*y + y = r. What is the least common multiple of 2 and y?
22
Calculate the common denominator of 1 - 162/40 - -1 and 6/4 + (245/15)/7.
60
Let x = 3/968 - 32939/8712. Find the common denominator of 25/33 and x.
99
Let p(i) = -5*i - 8. What is the least common multiple of 22 and p(-4)?
132
Let i = 127 + -113. Calculate the least common multiple of 18 and i.
126
Suppose -3*k + 12 = 0, 4*q - k = -4 + 20. Suppose 3*u - 5*h = -u + 54, 57 = q*u - h. What is the smallest common multiple of 11 and u?
11
Let d = 6077 - 60847/10. Find the common denominator of d and -125/6.
30
Let k(l) = -l - 5. Let m be k(-11). Let s = 17 - m. What is the least common multiple of -2*-1*(8 - 3) and s?
110
Let a be (288/40)/((-6)/(-20)). Suppose -a = b - 5*b. Calculate the lowest common multiple of b and 4.
12
Let t be 22/24*3*4. Let d = 7 - t. Calculate the common denominator of -7/11 and (d/(-18))/(32/120).
66
Let n be 0 + 0 + 9942/(-36). Let y = -850/3 - n. Calculate the common denominator of 97/4 and y.
12
Suppose 3 = -j + 10. Calculate the lowest common multiple of 3 and j.
21
Let n(a) = 3*a - 1. Let b be n(7). Let t = b - 10. What is the least common multiple of t and -1 + 6/(-1 - -2)?
10
Let z = -653793/38 + 17204. Calculate the common denominator of 107/22 and z.
418
Let o be 3/108*(4 - -569794). Let j = o + -15834. Find the common denominator of -65/22 and j.
198
Let g(p) = -p - 4. Let q(r) = r - 17. Let u be q(8). What is the smallest common multiple of 6 and g(u)?
30
Let d = 711/170 + 2/17. Calculate the common denominator of (-5 - -5) + 42/40 and d.
20
Calculate the common denominator of (-49)/(-231)*(-105)/(-50) and 5/11.
110
Suppose 4*g - 50 = 130. Suppose -4*o - 4*q = -12, -5*o - q + g = -6*q. Calculate the lowest common multiple of 8 and o.
24
Suppose -k - 9 = 2*a, -k - 4*a - 7 = -0*k. Let o be (-8)/(-2)*(0 + -2). Let l = o - k. Calculate the lowest common multiple of l and 1.
3
Let q(w) = -w + 11. Let k be q(6). What is the common denominator of (-62)/(-4) + (k - 7) and -2/11?
22
Let d = -7163/1211 + 10/173. Calculate the common denominator of (37 - 1)*96/(-504) and d.
7
Let r(u) = -u - 2. Let x be r(-3). Let s = x - -3. Suppose 5*d + 7*k - 62 = 3*k, -d - 5*k = -s. What is the lowest common multiple of d and 12?
84
Suppose 0*z + 3*z = -4*g + 11, 6 = 3*g. Let q = z - 5. Let i = 10 + q. What is the lowest common multiple of 5 and i?
30
Suppose 2*x = f + f - 6, 5*f + 1 = -3*x. Calculate the common denominator of (-129)/(-9) + (-1 - -1) and (147 - 7)*f/6.
3
Suppose -2*l - 19 = 4*h + 33, 3*h = 5*l - 13. Let c = h - -15. Suppose x = 2*w - c*x - 41, w = x + 19. Calculate the smallest common multiple of 14 and w.
126
Let i = -25 + 36. Suppose 4*r - l + 1 = -7, -5*r + l - 11 = 0. What is the lowest common multiple of 2/6*-2*r and i?
22
Let f be (-42)/15*10/(-4). Find the common denominator of (-61)/8 - (-5 + f) and -182*((-4)/(-2))/64.
16
Suppose 4*o - 50635 = -o. Let d = o + -202469/20. Find the common denominator of d and -101/8.
40
Suppose -4*w - 11 = -k, 16 = 8*k - 7*k + w. Calculate the least common multiple of k and 30.
30
Let c be (-4)/10 + -1 + 54. Let u = c + -451/10. Calculate the common denominator of -23/8 and u.
8
Let t = -1 + 67. Calculate the common denominator of t/(-4)*(-15)/(-10) and (-278)/(-12) - 6/(-9).
12
Suppose 3*h = -2*y - 2*y + 21, h = -5*y - 4. What is the smallest common multiple of h and 9/3 - 2*1?
11
Let j be (706*-1)/(3 + -5). Let p = j - 146. What is the common denominator of -25/12 and 8/20 - p/(-20)?
12
Let r = -2/43326073 + 341366133369/91028079373. Let s = 13/191 + r. Find the common denominator of 38/5 and s.
55
Let o(q) = 11*q**3. Let z(l) = l**3 - l**2 - l. Let b(f) = -o(f) + z(f). What is the smallest common multiple of b(-1) and 2?
10
Suppose 0 = 2*j + 5*k - 21, -k = -3*j + 3*k - 3. Calculate the lowest common multiple of 10 and j.
30
Let w(a) = a. Let c(k) = -4*k + 16. Let u(n) = c(n) + 2*w(n). Calculate the smallest common multiple of u(7) and 11.
22
What is the common denominator of (-17)/(-3)*6/4 and 29/(-145) + (1068/160)/(-1)?
8
Suppose -5*c - 4*g = -75, -5*g + 32 = 2*c - 3*g. Let h be (17/1)/(0 + -1). Let f = 27 + h. What is the smallest common multiple of c and f?
110
Let x = -5 - -7. What is the least common multiple of 9 and x?
18
Suppose -d - 3*h = -42, -4*d - h - h + 128 = 0. What is the lowest common multiple of d and 33?
330
Let d be ((-2)/(-3))/(3/27). Calculate the common denominator of 12/(-22)*(-7)/3 and (-575)/d*(-3)/15.
66
Suppose -3*y = -2*a + 6*a - 126, a = 3*y - 126. What is the least common multiple of 10 and y?
210
Suppose 3*t - 15 = -3*p, 2*p = -2*p - 2*t + 14. Calculate the smallest common multiple of p and 5.
10
Suppose o + 9 = u, -o + 4*o + 7 = -u. Let x(b) = 4*b**2 + 3*b - 2. Let f be x(1). Calculate the lowest common multiple of (-32)/(-5) - 2/f and u.
30
Let n be (6 - 1) + (-10)/5. Let f = n - 1. Calculate the smallest common multiple of (-1 - -3)/(2 - 1) and f.
2
Let l = 2 - 82. Calculate the least common multiple of 14 and (-2)/(-5)*l/(-4).
56
Let s be 1/(333/354) + -2. Let w = s + -94475/222. Let i = w + 460. What is the common denominator of 65/4 and i?
4
Let f(t) = -t**2 - 6*t - 6. Let d = 89 - 80. What is the lowest common multiple of f(-4) and d?
18
Let d(s) = 14*s. Let x(i) = -5*i. Let j(v) = 3*d(v) + 8*x(v). Calculate the smallest common multiple of j(5) and 8.
40
Let b(m) = 2*m**2 + 9*m - 11. Let h be b(-5). Let f = -1 + 1. Let z = f - h. Calculate the lowest common multiple of z and 18.
18
Let k = 3365/6 - 57463/102. What is the common denominator of k and 0 - (-1 - 40/7)?
119
Let y be (-1976)/6 + (-4)/6. Let l = 1313/4 + y. Calculate the common denominator of l and -59/16.
16
Let b = -184887/22 - -8401. What is the common denominator of b and -13/10?
110
Suppose g + 4*u - 12 = 0, 4*g = 4*u + 88 + 40. What is the lowest common multiple of g and 44?
308
Suppose 95 = 6*z + 5. What is the lowest common multiple of 3 and z?
15
Let p = 517 - 1538/3. Calculate the common denominator of 59/2 and p.
6
Let x = 37 + -27. Calculate the smallest common multiple of 7 and x.
70
Suppose -5*s + 2*r + 174 = -0*r, 2*s - 4*r - 60 = 0. Calculate the smallest common multiple of s and 15.
180
Suppose 0 = -4*m + m + 18. Calculate the lowest common multiple of 6 and m.
6
Let c(z) = 8*z**2 - 37*z + 5. What is the lowest common multiple of 12 and c(5)?
60
Let m(y) be the second derivative of y**3/2 - 3*y**2/2 + 3*y. Suppose 0 = -s - 3*s + 16. What is the lowest common multiple of s and m(2)?
12
Suppose -2*r = -m + 3*r - 4, -2*m - 4*r + 6 = 0. Calculate the least common multiple of 9 and m.
9
Let c be 1/2 + 14/4. Suppose -5*v = -c*v - 4. Find the common denominator of 29/10 and -1*(22/v)/(-1).
10
Let q(n) = -n**3 + 11*n**2 - 9*n + 15. What is the least common multiple of 20 and q(9)?
480
Calculate the common denominator of (-69*(-2)/8)/(-10 + 9) and (-2)/7 + (-733)/(-42).
12
Let j = 32 - 12. What is the lowest common multiple of 16 and j?
80
Let j(d) = 2*d - 8. Let r be j(7). Let w be 1877/(-165) - r/(-18). Let h = 152/15 + w. Find the common denominator of 137/6 and h.
66
Let h = -17 + 23. Suppose 3*u = -4*g + 8, 2*g - h*g + 2*u = -28. Let s(l) = 2*l - 7. Calculate the least common multiple of s(6) and g.
5
Let u = 500/57 + -40/19. Let p = -309/10 + 237/5. What is the common denominator of u and p?
6
Suppose 0 = 4*v - w - 4, 2*v - 2 = 5*w - 3*w. Suppose -13 = -4*j + 4*g + 7, -5*g = j + 13. Find the common denominator of -21/11 and (-202)/(-4) - j/v.
22
Let c = 1622/5 + -6477/20. Calculate the common denominator of c and (-2)/(-8)*-47*1.
20
Let s = -2/49 + 1492/539. Find the common denominator of 7/6 and s.
66
Let a = 3443/238 + -303/17. Find the common denominator of a and (1/(-6))/(72/1971).
112
Let j(q) = 3*q**2 + 3. Calculate the smallest common multiple of j(4) and 1.
51
Suppose 0 = 2*c + 2*c - 48. Suppose -4*j = -24 - c. Calculate the smallest common multiple of 2 and j.
18
Let v = -135 - -155. What is the smallest common multiple of 20 and v?
20
Suppose -60 = 5*i - 10*i. Calculate the smallest common multiple of i and 11.
132
Let l(h) = 57*h**3 - 2*h**2 + 1. Let x be l(1). Calculate the common denominator of -71/4 and (399/x)/((-42)/(-8)).