 smallest common multiple of (-2)/(-9) - v/(-18) and 16.
336
Let f(z) = -z**2 - 5. Let c be f(4). Let m be 782/(-1200) + (-14)/c. Let p = 1103/200 - m. Calculate the common denominator of p and -75/4.
4
Let n = 20899/20 + -1048. Find the common denominator of n and 129/110.
220
Suppose 2058 = -68*q + 89*q. Calculate the lowest common multiple of 168 and q.
1176
Let f = 120 + -85. What is the least common multiple of f and 7?
35
Suppose -2*y + 0*c = -c - 12, 4*y = c + 28. Calculate the smallest common multiple of y and 6.
24
Suppose -k + 11 = 2*s, -k - 3 = 2. Let l be (s/12)/(1/3). Let i(q) = 4*q**3 - 4*q**2 + q + 2. What is the least common multiple of i(l) and 8?
40
Let w = -775/9 - -86. Let a = -631 + 11968/19. What is the common denominator of w and a?
171
Suppose 5*h + 0*o - 54 = o, -5*o - 70 = -5*h. Let n = h + 1. What is the common denominator of (-30)/n + 15/(-10) and -49/4?
44
Let c(g) = 3*g**3 + 55*g**2 + 16*g - 20. What is the least common multiple of 88 and c(-18)?
176
Let l be (9 - 6) + 0/1. Suppose l*c - 6 = -5*x + 4, -3*x + 38 = 5*c. What is the smallest common multiple of 16/2 - (-6)/3 and c?
10
Let g(z) = -217*z - 144. Calculate the smallest common multiple of g(-2) and 6.
870
Suppose -2 = 3*v - 5, 3*w - 339 = 3*v. Calculate the lowest common multiple of w/15 - (-4)/10 and 12.
24
Let y be 2*(-9)/6 - -167. Let j be y/(-4) + (-1)/(-4). Let a = j - -883/20. Find the common denominator of 37/11 and a.
55
Suppose -1372 = -41*r - 8*r. What is the least common multiple of 6 and r?
84
Suppose r + 338 = -p, 2*r + 472 + 198 = -5*p. Find the common denominator of 33/7 and (r/30)/(22/(-9)).
77
Let t(j) = -j**2 + 15*j - 14. Let w be t(15). What is the common denominator of (22/(-4))/(w/(-7)) and 131/18?
36
Let f(t) = 2*t**3 - 2*t - 4 - 2*t**3 + 0*t**2 + 4*t**2 + t**3. What is the lowest common multiple of 12 and f(-4)?
12
Suppose 3*m + 13 = 4. Let r be (m - -6)*5 - -1. Suppose r = 4*c - 0*c. Calculate the least common multiple of 10 and c.
20
Let o = -2/2163 - 38207/6489. Suppose -m = 5*c - 0*m + 495, -3*c - 297 = -3*m. Calculate the common denominator of -2 - (c/6 + 1) and o.
18
Calculate the common denominator of (-530)/72 + (-9)/12 and (7 - 132/20)/((-4)/(-325)).
18
Suppose 10*a = 15*a - 20. Let f(u) = u**3 - 3*u**2 + u - 12. What is the lowest common multiple of 12 and f(a)?
24
Let j = -70 + 80. What is the smallest common multiple of 5 and j?
10
Let d be 1/(1 - 2) + 10236/10278. Let a = d + 26329/15417. Calculate the common denominator of -133/24 and a.
216
Let s = 391821302 - 11753035993/30. Let l = s - 53441. What is the common denominator of l and 113/6?
30
Find the common denominator of (-2 + (-163)/(-86))/((-40)/28) and 71/22.
9460
Suppose -t = -4*t + 33. Let j be (-2)/(-3)*-507 - 4. Calculate the least common multiple of t and j/(-95)*(-10)/(-6).
66
Let s(a) = 3*a + 3. Let u be s(1). Suppose 176 = -u*t + 14*t. Suppose -34 = -5*p + 6. Calculate the least common multiple of t and p.
88
Let a = 7483/174 + -556/29. Let d = -17/60 - -309/20. Find the common denominator of a and d.
6
Let u(f) be the third derivative of -f**5/30 - 3*f**4/4 - 2*f**3 + 4*f**2. What is the least common multiple of 10 and u(-8)?
20
Suppose -s = 4*t + 4*s - 185, 3*s - 93 = -2*t. Let a = t - 39. Calculate the smallest common multiple of a and (-1 - -2)*2*1.
6
Let z = 1132/8903187 + -85017782891/40954660200. Let a = z - -4/5175. Calculate the common denominator of 64/22 + 2/(-4) and a.
440
Let o = -5 - -9. Find the common denominator of o/6*219/6 and (-1612)/360 + -5 + 2/(-9).
30
Suppose 3*s - 3 = 4*z, -5*z + 2*s + 7 - 2 = 0. Suppose -z*o = 2 + 1. Find the common denominator of 5/8 and -2 + o/7*-11.
56
Let w = -80 + 92. Suppose -4*t + 52 = -2*b, -5*t + 3*b + 59 = -b. What is the smallest common multiple of t and w?
60
Let f = 13/76 + 2759/532. Let p = 3 - 1. Find the common denominator of 11/p*(-24)/(-28) and f.
14
Let l be (247/95)/(12/5501). Let q = -394420/329 + 74/1645. Let o = l + q. Find the common denominator of o and -53/16.
48
Let f(n) = -3*n + 44. Let p be f(11). What is the least common multiple of -606*(p/(-6) + (-9)/(-6)) and 18?
1818
Let g = 621/5 + -2869/20. Let t = 8928 + -18377/2. Let f = t - -283. What is the common denominator of g and f?
4
Suppose 2*m - 102 = 2*p, m + p + 10 = 51. Calculate the lowest common multiple of 6 and m.
138
Let w = -2436 + 17041/7. Find the common denominator of 103/376 and w.
2632
Let d = 4 + 12. Calculate the common denominator of 21/10 and 2/d + (84/4)/(-3).
40
Suppose -2*g - 79 = -h - 3*g, 0 = -4*h - 5*g + 314. Calculate the common denominator of (10/(-14))/(9 - 7) and h/16 + (-1)/(-4).
112
Let k(m) = -2*m - 47. Calculate the smallest common multiple of 8 and k(-29).
88
Let z(j) = -j**2 - 25*j - 18. Let h be z(-22). Find the common denominator of (-1869)/(-18)*(-3)/(-63) and -2*244/h - 3/(-3).
18
Find the common denominator of (8232/224)/(15/4) and 27/127.
635
Let t be (3 - 0)*45/27. Suppose 10 = -4*k + t*k. What is the lowest common multiple of 6 and k?
30
Let y = -74 - -144. What is the lowest common multiple of 90 and y?
630
Let x = 1/1105 + 109387/8840. What is the common denominator of x and 1222/240 + 2/10?
24
Let t(n) = -640*n**3 - 4*n**2 + 6*n + 3. Let d be t(-7). Let k be (-108510)/(-8)*(-54)/d. Let f = -50/443 - k. Find the common denominator of 13/16 and f.
176
Suppose -y - 4*y = -2*v - 13, -5*v - 1 = -2*y. Let d = y + -1. Calculate the lowest common multiple of 6 + 18 + (-16)/4 and d.
20
Let u = -74 - -175. Let k be (u/(-2))/((-8)/34). Let p = k - 214. What is the common denominator of p and 23/18?
72
Suppose 3*v + 1017 = -3936. Let r = 18190/11 + v. What is the common denominator of (16*(-4)/(-8))/(-5) and r?
55
Let r = 17939 + -251249/14. Calculate the common denominator of r and -53/56.
56
Let g = 29016865/282 + -102897. Find the common denominator of -58/27 and g.
2538
What is the lowest common multiple of 12 and (-8800)/(-50)*(-1)/(-2)?
264
Let a be (-1 - 1/2) + 796/(-8). Let g = 119 + a. What is the smallest common multiple of g and 63?
126
Let s = -5 + -25. What is the common denominator of 49/24 and (s/7)/((-64)/(-560))?
24
Let z(q) = -2*q - 5. Let b be z(-4). Let y be (-27001)/(-6) + b + -1. Let a = -4519 + y. Find the common denominator of 59/14 and a.
42
Let o(k) = 1061*k + 4199. Let b = -565/76033 + 8/547. Let r = 559/417 - b. Find the common denominator of r and o(-4).
3
Let o = 103 + -455. Calculate the common denominator of (-1592)/o + (-1)/(-4) and (6/(-15))/((-16)/70).
44
Let i = 5/37 - 2267/74. Calculate the common denominator of -81/4 and i.
4
Let w be (35928/(-1659))/6 + 4. Let i = -3/79 - w. Calculate the common denominator of i and 29/45.
315
Let v(a) = 8*a - 7. Let o be v(15). Let p = o - 95. Let n(j) = -3*j. What is the smallest common multiple of n(-4) and p?
36
Suppose 4*i - 69 = -13. Let m = 38 - 36. Suppose -a + 11 = j, -m*j + j = -2*a + 7. Calculate the smallest common multiple of i and a.
42
Suppose 0 = -t + 4*t + 3*o - 21, 0 = -4*t - 5*o + 31. Suppose -5*d + 178 = -4*c, -4*d = -8*d + 3*c + 142. Calculate the lowest common multiple of t and d.
68
Let b = 8417/1070 + 18/535. Calculate the common denominator of b and 32/55.
110
Calculate the common denominator of -8 + 51*7/66 and 3/(-9) + (-49)/12.
132
Let m = -4/3211 + -4373354/22477. Let u = 10553/56 + m. Find the common denominator of 5 and u.
8
Suppose 222 = 27*y - 48. What is the least common multiple of y and 70?
70
Let u(j) = 15*j**3 - 5*j**2 - 4*j + 31. Let t(i) = -7*i**3 + 3*i**2 + 2*i - 16. Let c(w) = -13*t(w) - 6*u(w). What is the lowest common multiple of 5 and c(9)?
20
Let n = 79381 - 471341/6. Let o(x) = -14*x**2 - 7*x + 18. Let t be o(-8). Let d = n + t. Calculate the common denominator of -17/16 and d.
48
Let y = 10967/10550 + 1/2110. What is the common denominator of y and -22/95?
475
Let x be (18/4)/((-21)/(-8596)). Find the common denominator of 4/10 + x/120 and -65/18.
36
Let x(f) = f**3 - f - 10. Let k be x(0). Let q(r) = -r**2 - 13*r - 6. Let i be q(k). Calculate the smallest common multiple of 212/i - (-1)/6 and 2.
18
Let i(l) = 15*l**2 - 1. Suppose -w = 4*w + 5. Let v be i(w). Suppose v = 7*a - 5*a. What is the lowest common multiple of 5 and a?
35
Calculate the common denominator of (-4)/(-58