 of -23/40 and (2/4)/(40/(-101)).
80
What is the least common multiple of 79 + 3*(-4)/12 and 14?
546
Find the common denominator of 49/129 and -2*(-3)/(-10) + 40/50.
645
Let r(d) = 2*d - 5. What is the smallest common multiple of r(6) and 6 + 5 + 170/(-17)?
7
Suppose -42 = 5*r + 58. Let v = r + 36. What is the lowest common multiple of v and 24?
48
Let j be 3/(-5) - (-2)/(-5). Let w be (j - -16) + 8 + -4. Suppose 0 = w*a - 14*a - 90. Calculate the smallest common multiple of a and 6.
18
Suppose 5*n = 5, 2*u + 2*n - 3 = n. What is the lowest common multiple of 824 and u?
824
Suppose -3*z - 2*q = 146, -z + 4*q = -0*q + 30. Let u = 55 + z. Let y(t) = t + 3. Calculate the smallest common multiple of y(0) and u.
9
Suppose -2*r + 4*l = -40, 2*r - 24 = 2*l + 6. Suppose -4*a + 2 = -3*a. Calculate the lowest common multiple of a and r.
10
Let v be 3*2/(-6)*1. Calculate the common denominator of 2/((-96)/(-285))*2 and (v/(-2))/(8/712).
8
Let g(a) = 9*a - 3*a - a**2 - 3 + 0*a**2. Let j be g(3). Let z(v) = v**2 - 4*v - 2. What is the lowest common multiple of z(j) and 12?
60
Let j(a) = 10*a - 75. Let c be j(7). What is the common denominator of 4/((-144)/(-57)) - c and -127/42?
84
Let n = 1099 - 581. Suppose n + 175 = 7*t. Calculate the smallest common multiple of 4 and 972/t - (-4)/22.
20
Let x be (-1552)/(-740)*(-27)/12. Let o be (-4)/6 + (-2496)/(-666). Let n = o - x. What is the common denominator of 32/9 and n?
45
Let r(j) = -j**3 - 6*j**2 + 7*j + 3. Let q be r(-7). Suppose b = -q*b + 8. Let f = -72 + 76. What is the lowest common multiple of f and b?
4
Let j = 227 - -76. Find the common denominator of (j/45)/(4/(-6)) and 215/(-3)*(-19)/285.
90
Let d(v) be the first derivative of v**3/3 - 3*v**2 + v + 1. Let q = -90 + 100. Calculate the smallest common multiple of d(7) and q.
40
Let o(b) = -b**2 - 64*b + 263. What is the least common multiple of o(-65) and 154?
1386
Suppose -4*d - 172 = 3*c, d + d + 3*c = -92. Find the common denominator of -10 + 10 + (-3 - 107/(-6)) and (-2)/(d/(-186)) - -2.
30
Let x = -127541/41 - -3111. Let s = -2339/328 - x. Let l = -23099/3664 - -84/229. Find the common denominator of l and s.
16
Let k = -12382/11 + 1122. Calculate the common denominator of k and 231/90 - (-1)/3.
110
Let c = 6255/56 + -704/7. Find the common denominator of c and 119/18.
72
What is the smallest common multiple of (-9 - (-16 - 2)) + -1 and 122?
488
Suppose -3*y + 16 = y. Let d(s) = 14*s**3 + s - 1. Let z be d(1). Suppose -z = -4*n + 50. Calculate the lowest common multiple of n and y.
16
Let c(u) = -2*u**3 + 4*u**2 + u - 7. Let m be c(3). Calculate the common denominator of 57/7 and (-4)/m - (-292)/(-396).
63
Calculate the smallest common multiple of (5 - (-14)/(-4))/(3/24) and 6.
12
Let i(u) = u**2 - u - 2. Let d = 56 + -52. Calculate the smallest common multiple of d and i(3).
4
Suppose -4*j + 14 = 2*p, 5*p - 5*j + 7*j = 11. What is the smallest common multiple of p and 3*(4/(-6) - -3)?
7
Let d be 11/(-66)*(-78)/58*-1. Let p = d + 301/696. What is the common denominator of -83/15 and p?
120
Let v(j) = j**2 - j + 28. Let m be v(0). Let f be m/10 - (-3)/15. What is the least common multiple of 8 and f/(-5) + (-415)/(-25)?
16
Suppose 0 = 2*s + s. Suppose 11*z - 4*z - 91 = s. Calculate the least common multiple of z and 2.
26
Calculate the common denominator of -12/5 and (-7308)/12936*(-4)/(-6).
385
Suppose -2*v + 12 = -2*u, u = 3*u + 4*v - 12. What is the common denominator of -5/3 and (0 - u) + ((-17)/(-3) - 0)?
3
Let k = -15 + 3. Calculate the lowest common multiple of 2/k + (-258)/(-36) + 5 and 44.
132
Let n be ((-8)/(-10))/(4/10). Suppose -3*r + 10 = -n*r. Calculate the smallest common multiple of r and 11.
110
Let g be (-8 + 2)*18/(-12). What is the common denominator of 25/3 and ((-153)/20)/g*-3?
60
Suppose -3*n - 27 + 111 = 0. Suppose 2*z - 20 = 3*z. Let u = n + z. Calculate the smallest common multiple of u and 14.
56
Let a be (-4)/12 - (-27016)/(-1302). Let x = 153/7 + a. What is the common denominator of -133/6 and x?
186
Suppose 0 = -8*w - 350 - 50. What is the common denominator of w/12 - 4/(-3) and -83/8?
24
Let w = 0 + -4. Let m = 73 - 175. What is the common denominator of (24/(-18))/(w/m) and -8/7?
7
Let m(z) = -1718*z + 3. Let w be m(2). Let d = w - -20699/6. Find the common denominator of d and -37.
6
Let d be (-35)/(-11) + (-12)/66. Suppose 0 = 4*i - d*i - 12. Suppose 3*g - 2*x - 4 = 12, 2*x - i = -4*g. Calculate the lowest common multiple of 2 and g.
4
What is the common denominator of (44/2504)/11 + (-2 - -2) and 73/14?
4382
Let p be 1 - (554/(-32) + 9/(-36)). Let j = p + -22. Find the common denominator of j and -10/11.
176
Let o = 5 - 1. Suppose -2*r - 7 + 73 = 5*b, -b = 3*r - 21. Calculate the lowest common multiple of b and o.
12
Suppose 175 - 7 = 7*b. What is the smallest common multiple of 9 and b?
72
Suppose -13 = -2*u + u + 5*c, -3*u = -5*c - 19. Calculate the lowest common multiple of u and 45 + ((-4)/(-5))/((-42)/315).
39
Find the common denominator of (-201)/18 + (-7)/(-21) and 93/2.
6
Let k = -89/88 + 607/176. Let u(n) = -n**3 + n**2 - 3*n. Let a be u(4). What is the common denominator of k and 643/a + (52/(-10) - -5)?
48
Let j = 221 + -145. Suppose -3*f = -4*z - j, z = 3*f - 0*f - 64. What is the least common multiple of f and 10?
20
Let n = -23 + 39. Let o = -1141 - -1181. What is the lowest common multiple of n and o?
80
Let d(l) = -36*l**2 + 20*l + 8. Let r be d(-6). Let x = r + 4181/3. Let t = -2/2587 - -98324/23283. Calculate the common denominator of t and x.
9
Let q be 2*(2 + 2 + -5). Let d be 10 - q*(-3)/(-3). Calculate the smallest common multiple of 9 and 0/2 + -1 + d.
99
Let n = 0 - -1. Suppose 75 = 3*s - 4*i, 8*s - 6*s - 2*i - 54 = 0. Calculate the least common multiple of s and n.
33
Suppose 5*n - 4*g - 30 = -7*g, n - 5*g - 6 = 0. What is the least common multiple of n and 102?
102
Let b = -5343 - -2718. Let a = -23692/9 - b. Calculate the common denominator of a and 7/3.
9
Suppose 2*m + p - 3*p + 16 = 0, -2*m + 3*p = 20. Let k = m - -10. What is the lowest common multiple of 20 and k?
60
Suppose -4*z = -3*w - w + 44, 0 = 5*z - 2*w + 43. What is the common denominator of (1/21*15)/(12/z) and 41/18?
36
Suppose -d = 2*z - 3*d, -4*d = 2*z + 30. Let l = 4 + z. Calculate the lowest common multiple of 24 and l/(27/14 + -2).
168
Suppose 8*i = i - 56. What is the common denominator of -29/8 and (-200)/(-180)*102/i?
24
Let x be (-60430)/6 - (-2)/3. Let p = 20601389 - 288560501/14. Let r = x - p. Calculate the common denominator of -67/8 and r.
56
Calculate the lowest common multiple of 14 - 3/(39/(-6) + 5) and 10.
80
Let o = 4313/18 + -239. Find the common denominator of o and 61/338.
3042
Let z = -24019/78736 - 68/703. Find the common denominator of -41/84 and z.
336
Suppose -254*c + 7 = -247*c. Calculate the least common multiple of c and 22.
22
Suppose 2*d + 37 = -3*l, -11 + 53 = -3*l + 3*d. Let q = -7 - l. Suppose 21 = 17*i - 81. Calculate the least common multiple of i and q.
6
Let x(t) = -3*t**3 - 4*t**2 + 11*t. Let d be x(-12). Let r = d + -26963/6. Calculate the common denominator of 73/12 and r.
12
Suppose -3*a = -14*a + 99. What is the smallest common multiple of a and 3?
9
Suppose 2*r + 8*g - 4*g - 158 = 0, -5 = 5*g. What is the smallest common multiple of r and 54?
162
Suppose -9*u + 5*y = -10*u + 53, 4*u - 3*y = 120. Let z = -14 + 56. What is the least common multiple of u and z?
462
Suppose -b = -2 - 3, -3*b = 4*p - 47. Suppose -2*l = 2, 8*l = -2*h + 9*l + 81. What is the least common multiple of p and h?
40
Let p(b) = -b**2. Let a be p(-2). Suppose 10*l - 15 = 15*l. What is the common denominator of l/a*266/(-27) and 81/4?
36
Let j = 14 + -9. Suppose -5*h - j*r = -105, 0*h + 55 = 3*h - 5*r. What is the least common multiple of h and 86/4 + 3/(-2)?
20
Suppose -6*t + 9*t = 6. Suppose 0 = t*o + 1 + 11. Let v(x) = -4*x - 12. Calculate the smallest common multiple of v(o) and 22.
132
Suppose 3*v - 2*f = -157, -2*v - 7*f + 4*f - 83 = 0. Suppose -g - 48 = 3*a, 0 = -16*a + 18*a + 4. Calculate the common denominator of (9/(-2))/(g/v) and -73/4.
4
Suppose -4*u - 214 = -2*p, 6 = 3*u + 18. Calculate the lowest common multiple of p and 33.
99
Let d = 1 - -2. Suppose -5*l = 5*a - 90, d*l - 6*l + 48 = 5*a.