 v*j = 4 + 8. Calculate the lowest common multiple of 11 and j.
33
Let t be -205*3/((-150)/32). Let f = t + -6044/45. Find the common denominator of f and 55/9.
9
Let j = 18 - 12. Find the common denominator of 45/(-7)*(-21)/j and -2*(39/(-15) - 2).
10
Let n(z) = -z**2 - 9*z - 10. Let w be n(-7). Suppose 12 = -2*b + 5*p - 17, 5*b + 155 = -w*p. Find the common denominator of -38/3 and 42/b + (-4)/18.
9
Suppose 7 + 13 = 4*j. Suppose -9 = -j*r - d + 11, 3*r = -4*d + 12. Calculate the least common multiple of r and 5.
20
Let d(n) = 12*n**3 + 2*n**2 - 1. Let j be d(-1). Suppose 163 = 4*k - 0*k + 3*p, -4*p = -5*k + 165. Find the common denominator of 61/14 and (j/4 + 3)*k.
28
Let u = 3/36091 + 1417389/36091. Let q = 611/22 - u. What is the common denominator of 7740/1584 + 6/(-8) and q?
22
What is the least common multiple of ((-6)/5)/(81/(-270)) and 20?
20
Suppose -90 = -3*i - 0*i. What is the common denominator of ((-10)/(-6))/(16/i) and -91/6?
24
Let a be (-162)/(-440)*(-84)/(-38). Let x = -586362/95 - -6172. Let f = x - a. What is the common denominator of f and 11/14?
154
Let p(o) = o**3 - 3*o**2 + 3*o - 2. Let t be p(2). Suppose -5*b + 3320 = -t*b. Find the common denominator of 3/(-1) + b/32 and -44.
4
Suppose -2*v - 9 = -5*z, 2*v - z + 1 = 4. Calculate the smallest common multiple of 4 and v.
12
Suppose 3*v = 2*v + 1. Suppose v = -2*z + 41. What is the smallest common multiple of z and 8?
40
Let t = -679 + 65862/97. Let c = t + -2222/873. Calculate the common denominator of c and -4/5.
45
Suppose 4*h + 8 = 52. Let i(c) = c**3 + 36*c**2 + 37*c + 79. What is the smallest common multiple of i(-35) and h?
99
Let c(h) = -3*h**3 + 3*h**2 + h - 1. Calculate the lowest common multiple of c(-1) and 53.
212
Let k be 59/(-1426)*48/39740. Let w = -173227934033/57009255440 + k. Let d = w + -12/503. Find the common denominator of d and 79/4.
16
Let k = -1/591964 - 1648175765/1183928. Let m = 1395 + k. Find the common denominator of 101/8 and m.
8
Suppose 5*v = 2*h + 86, v - 4*h - 17 = -7. Suppose -5*z + 0*u - u + 86 = 0, -3*z + 5*u = -74. What is the lowest common multiple of z and v?
18
Let b(r) = -20*r. Let i be b(-6). Calculate the common denominator of 17/20 and 999/i*(-12)/(-9).
20
Suppose 4*j = 29 + 7. Calculate the common denominator of 40/63 - (-2)/j and 47/11.
77
What is the common denominator of (-34)/119 + 163/(-42) and 67/20?
60
Suppose 3*l + 17 = 98. Let g = l + -17. Calculate the smallest common multiple of 6 and g.
30
Let i = 67/348 - 66/29. What is the common denominator of i and 103/22?
132
Suppose -l - 6*y + y = 15, 0 = -2*l + 5*y. Let g = 23 + l. Calculate the least common multiple of 16 and g.
144
Let o = 3310695/1736 - 13350/7. Find the common denominator of o and -5/4.
248
Suppose -6*p + 311 = -145. Suppose 3*w - 12 = -42. What is the common denominator of p/6*w/(-24) and -117/10?
90
Let z = -69 + 116. Let s = -19187/8 - -2393. What is the common denominator of s and z?
8
Let f = -9816 - -98251/10. Find the common denominator of f and (-3)/9 - ((-627)/(-36) - 1).
20
Let m(g) = -g**3 + 9*g**2 + 4*g - 12. What is the lowest common multiple of m(9) and 40?
120
Let z = -54 + 82. Let y = z + -6. Let h(j) = j**2 - 6*j - 13. Calculate the least common multiple of h(9) and y.
154
Let j(b) = 4*b**2 + b + 1. Suppose 4 = 2*d - 2. Let o be j(d). Find the common denominator of -91/10 and 429/o + 2/5.
40
Calculate the smallest common multiple of 7 and 12/18*-6 + 6.
14
Let u = -216/11 - 18499/22. Let i = -828 - u. Find the common denominator of 14/11 and i.
22
Let b = -14 - -18. Suppose 0*n = 2*n + 5*o + 7, b*o = -3*n + 7. Calculate the lowest common multiple of 7 and n.
63
Let j = 0 - -1. Let t(h) = 3*h**2 + h. Calculate the lowest common multiple of t(j) and 9.
36
Let c = -13 - -19. Let t = 50 + -30. Calculate the lowest common multiple of t and c.
60
Let o = 6 + -6. Suppose o = 3*x - 2*x. What is the common denominator of -1 - 46/20 - x and 61/16?
80
Let j = -1 - 0. What is the common denominator of -139/12 and -1 - ((-9)/30 + j)?
60
Suppose 16*q - 152 = 104. Calculate the least common multiple of q and 11.
176
Let j = -1703/4 + 28973/68. Find the common denominator of 89/8 and j.
136
Let h = 43897 + -5135848/117. Let c = 8779/13 + -675. Let j = c - h. What is the common denominator of 56/5 and j?
45
Let u = 5 + -4. Calculate the common denominator of -61/2 and u/(-2) + (-39)/24.
8
Calculate the least common multiple of ((-16)/(-10))/((-2)/(-10)) and ((-4)/(-5))/(4/20).
8
Let q(w) be the second derivative of w**3/6 + 3*w**2/2 - 6*w. What is the smallest common multiple of 10 and q(5)?
40
Suppose -19 = 2*o - 113. Suppose -5*u + 0*u - 2*l = -o, 5*u = 3*l + 67. Calculate the lowest common multiple of 3 and u.
33
Let o(f) = 11*f - 39. What is the lowest common multiple of o(5) and 44?
176
Suppose -2*h - h + 3*d + 3 = 0, -h - 2*d + 7 = 0. Let a = h + -1. What is the smallest common multiple of 6 and a?
6
Suppose -3 - 5 = -4*m. What is the smallest common multiple of (2/4)/(m/16) and 18?
36
Let n(q) = -q**3 + 10*q**2 - 8*q - 9. Suppose 13 = y + s, -s + 20 = 4*s. Let p be n(y). What is the least common multiple of 2 and 20 + p - (-6)/(-3)?
18
Suppose -4*o - o = 2*p + 21, p = -4*o - 18. What is the least common multiple of p and 16?
16
Suppose -7*z + 5*z + 23 = l, 0 = 3*z + 2*l - 32. What is the smallest common multiple of z and 36?
252
Let b = 6796024075/2092976 - 12/130811. Let o = -3251 + b. Calculate the common denominator of -11/12 and o.
48
Find the common denominator of (-3458)/(-280) + (-6)/(-15) and -51/31.
124
Let p be ((-8)/3)/4*-3. Let f be 1/(0 + 2/p). Suppose -f + 10 = g. Calculate the least common multiple of g and 7.
63
Let r be (-595)/2*8/(-10). Let t be ((-104)/(-54))/((-2)/246). Let j = t + r. What is the common denominator of -95/4 and j?
36
Find the common denominator of -95/8 and (-15)/(-75) - 527/1060.
424
What is the common denominator of ((-8)/12)/(22/6) and 3/(-9) - (-542)/60?
110
Let k(c) = -c**2 - 2*c. Let u be k(-2). Suppose 0 = 5*h - u*h - 40. What is the lowest common multiple of (3/(-6))/(1/(-40)) and h?
40
Let q = 7723499 + -169955141/22. Let g = 1732 + q. Find the common denominator of g and (2/(-40))/((-3)/286).
330
Let l(q) = -10*q + 1. Let a be l(1). Calculate the common denominator of 87/2 and 13*(3 + 28/a).
18
Let c(n) = n**2 - 7*n + 9. Let k be c(6). Suppose 0*t - t = k. What is the common denominator of -121/6 and 95/(3/(t/2))?
6
Suppose -2*s + 6 + 0 = 0. Calculate the least common multiple of s and 9.
9
Let i = -13 - -29. Suppose i = 8*z - 4*z. Find the common denominator of -29/20 and (-973)/(-56)*z/(-6).
60
Let l = -29 + 51. Calculate the lowest common multiple of l and 8.
88
Let i = 4 + -7. Let v be 3*(-2 - 95/i). What is the common denominator of (6/(-44))/((-3)/v) and -69/14?
154
Let b(q) = -q**2 + 7*q + 2. Let s be b(5). Suppose -5*c = w - 26, 0 = w - 2*c - 0*c + 9. Find the common denominator of -65/18 and -1 + w/s*-43.
36
Suppose 2*w + 14 = 58. Let l = -6 - -6. Suppose l = -b + 2*b - 20. What is the least common multiple of w and b?
220
Suppose b + b - 20 = 0. Let t(a) = a - 1. Let r be t(0). Let s(i) = -11*i - 1. Calculate the least common multiple of b and s(r).
10
Find the common denominator of -1 + (-65)/(-12) - 4/24 and 11/4.
4
Let o = 447 - 820. Let i = o - -5233/14. Calculate the common denominator of i and 99/8.
56
Let d(y) = 11 - 11 + y + y**2. Let g be d(0). Suppose 5*m - 5*w = 85, -4*m + 3*w + g*w = -63. What is the least common multiple of m and 6?
12
Let m be (-3)/4 - (-6)/(-24). Let v = -3 + 15. What is the lowest common multiple of 1 + m + 12 + 8 and v?
60
Suppose -4*o + 12 = 0, 3*p - 2*p - 13 = -3*o. Suppose 2*a + 2*w + 12 = 0, -4*w = -0*w + p. What is the lowest common multiple of 4/10 - 58/a and 22?
132
Let s(n) = -22*n**2. Let q be s(-1). Find the common denominator of -59/18 and -3 + q - 2/(-4).
18
Let q(o) = 6*o + 6. Let n(k) = 5*k + 7. Let l(v) = 5*n(v) - 4*q(v). Calculate the smallest common multiple of 9 and l(0).
99
Let w(a) = a**3 + 5*a**2 + a - 2. Suppose -d - h + 16 = 0, d - 2*h + 56 = 5*d. Calculate the least common multiple of w(-4) and d/(-9)*9/(-2).
30
Let i = -3 + 2. Calculate the common denominator of ((-69)/4)/((-60)/8) and i/(-2) + (-113)/(-12).
60
Let n(j) = -2*j