1 + 545340/(-272775). Let d = 1075141/2891415 - m. What is the common denominator of -74/3 and d?
159
Let m(j) = -2*j**3 + 17*j**2 - 20*j - 2. Let z be m(7). Suppose 4*k - 3*v - 405 = -96, -4*v - 386 = -z*k. What is the lowest common multiple of 60 and k?
780
Suppose 0 = -x - 2*c - 8, 0*x - 9 = 3*x + 3*c. Suppose -x*f - 406 = 5*f. What is the smallest common multiple of 3*(-1)/(3/f) and 22?
638
Suppose 0 = -3*g + 12, -2*g + 4*g = s - 8. Let a(o) = 15*o + 30 + 10*o + 20*o - 47*o. Calculate the least common multiple of a(9) and s.
48
Calculate the common denominator of 85/1896 and (-7)/(-18)*8217/924.
1896
Let t = 304/213 - 8669/2343. Suppose n = 4*n + 12. Find the common denominator of n/(-12) - (-320)/(-42) and t.
77
Calculate the common denominator of -49/2229 and (0 + 1)*-6 + 3/(72/(-14)).
8916
What is the common denominator of -1 - -5 - 36231/9100 and 57/500?
3500
Let r be (-1321719)/(-297) - (-2)/9. Let l = r - 4455. Let j = 12372/7 + -74323/42. Calculate the common denominator of l and j.
66
Let m = 1250 - 352501/282. Calculate the common denominator of m and 3/(-5) + ((-2)/70)/((-90)/(-41685)).
282
Suppose 2*k - 7*k - 10 = 0. Calculate the common denominator of 6/27 + (-2397)/(-3672) + (-2)/24 and 83/30 - k/2.
120
Let i be (-1)/(-4) - 11/(-4) - 3. Suppose 134 = 2*k + d, i*d - 3*d + 272 = 4*k. Suppose 0 = 6*q - 7 - k. What is the smallest common multiple of 6 and q?
12
Suppose 4*z = -5*i + 110, 0*z = 4*z + i - 118. Let u be (-105)/84 + (-1 - 603/(-12)). Suppose -13*k + 15*k = u. Calculate the least common multiple of z and k.
120
Let r(a) = 12*a - 104. Suppose 0 = 2*x, -j = -3*j - 2*x + 20. What is the smallest common multiple of r(j) and 32?
32
Calculate the least common multiple of 2*(1950/91 - 21 - 46/(-7)) and 824.
5768
Let g be 16/(-28) + -4 + 74/7. Let h be (-218)/5 - 5/(75/g). What is the common denominator of (-4484)/(-264) - 8/h and 17/20?
60
Let a = 3428 - 455926/133. Calculate the common denominator of 43/95 and a.
665
Calculate the least common multiple of 33 and 3*31/(-372) + (-2421)/(-4).
1815
Let x(i) = 4*i + 58. Let b be x(-13). Suppose -b*w + 4 = -4*w. Find the common denominator of -31/58 and (-18)/6 - w/12*-155.
174
Suppose 7*z + 101311 = 44*z + 32639. Calculate the smallest common multiple of z and 320.
9280
Let n be 3/4 + 234/104. Let i be n/(-18)*-9*58. Calculate the common denominator of ((-40)/(-16))/(i/(-42)) and -1/2.
58
Suppose v = i - 12, -2*v - i - 8 = i. Find the common denominator of (v/(-8))/(2/67) and -1*(-68)/(-21)*(-34 + 3349/102).
18
Let c(r) = -r**2 - 23*r - 251. Let w be c(-20). What is the common denominator of -71/82 and 11 + 442/(-39) + w/(-24)?
328
Let g be ((-41368)/(-80))/(30/14 - 2). Let h = 3625 - g. Find the common denominator of -83/36 and h.
180
Let f = 11130 + -11124. Suppose -6 = 2*w + w. Calculate the least common multiple of f and -5 + 5 - (w - 0).
6
Let b(p) be the first derivative of -7*p**2 - 7*p - 90. Let f = 11 - -5. Calculate the least common multiple of f and b(-1).
112
Let n = 6788387/349 - 19451. Let c = n - 3251/17101. Calculate the common denominator of -11/42 and c.
294
Suppose 7 + 5 = 4*j. Let y be (3 - (-5 - -6))*(-10)/(-4). Let h(n) = -n**2 + 8*n - 6. What is the lowest common multiple of j and h(y)?
9
Let r = 19/1077 - 8453/72159. Calculate the common denominator of r and -11/138.
9246
Let n = -181 + 161. Let p = n + 50. What is the lowest common multiple of 45 and p?
90
Let l = 364 + -340. What is the common denominator of (255/l)/5 - -2 and (8/(-12))/((-6)/10)?
72
Let v = 196080 + -13529533/69. Let s = -11/21 - 15/7. Find the common denominator of v and s.
69
Suppose 5*l + o + 1926 = 0, -l + 108 - 482 = 3*o. Let j = 465 + l. Calculate the smallest common multiple of 4 and j.
316
Let g = 45406 - 8672472/191. Let n = -2066/12415 - g. What is the common denominator of n and 9/55?
715
Let u(l) = l**3 + 25*l**2 - 40*l + 43. Let p be u(-26). Let t = p - 393. Calculate the common denominator of t and 21/58.
58
Suppose 11*o - 3*o = -16. Let a(k) = -74*k - 4. What is the least common multiple of a(o) and 18?
144
Let s(g) = -g**2 + 6*g + 2. Let t be s(8). Let h = -9 - t. Suppose -3 = h*q - 33. Calculate the lowest common multiple of q and 16.
48
What is the common denominator of ((-3)/158)/(63/15*450/4290) and 55/63?
9954
Let t = 5 - 5. Suppose 3*u - 31 - 47 = t. Suppose -q + 2*x + 4 = 0, -5*q = -4*q + x - 1. What is the lowest common multiple of q and u?
26
Let s = -61072177/380 + 482149/3. Find the common denominator of s and -107/342.
3420
Let t(a) be the second derivative of a**5/20 + 7*a**4/12 + 4*a**3/3 + 3*a**2 - a + 16. What is the lowest common multiple of t(-5) and 52?
208
Let w = -115693/16 - -7236. Calculate the common denominator of (315/3360)/(-1 - 35/(-38)) and w.
16
Let n = -1184 - -1188. Calculate the smallest common multiple of 840 and n.
840
What is the common denominator of (6555/(-76))/(-23)*42/3485 and 59/6?
4182
Suppose -5*p + 8*p = 9. What is the least common multiple of 18*(3 - p - 2)/(-3) and 12?
12
Let u = -600267 + 6015581/10. Let o = 1294 - u. Calculate the common denominator of o and -3/20.
20
Let a be ((-876876)/2736)/13 + 2/(-6). Let b = 90/19 + a. What is the common denominator of b and -31/76?
76
Suppose 3*s + s = 0. Suppose s = 2*v - y - 17, -2*v + 6 = -5*y - 7. Calculate the least common multiple of (1 - -1)/((-2)/(-6)) and v.
18
Let x be 3/(-2) - 12212331095461/(-29155). Let t = x + -418876043. Let y = t - 93/98. What is the common denominator of 79/10 and y?
170
Suppose -652 = -2*x + 4*w, -101*x = -106*x - 3*w + 1656. Calculate the least common multiple of x and 12.
660
Let v(t) = t**3 + 6*t**2 - 2*t - 2. Let s be (63/14)/((-7)/4 - -1). Calculate the lowest common multiple of 22 and v(s).
110
Suppose -37726 - 62810 = -213*l. What is the lowest common multiple of 1298 and l?
5192
Let s = 13897 - 13863. Suppose -2*f = -f - 2*o - 6, -3*f + o = -43. Calculate the lowest common multiple of f and s.
272
Let n = -2841 - -758557/267. What is the common denominator of n and -35/4?
1068
Let x = 257645/56728 + -2/21273. Find the common denominator of x and (-1)/2 - 139/(-60).
120
Let d(l) = 5*l**2 - 31*l - 34. Calculate the lowest common multiple of 520 and d(-9).
2600
What is the common denominator of 1755/(-546)*42/36 and (-46)/(-12)*(-6)/(-10)?
20
Let j(l) be the third derivative of -l**6/120 - 7*l**5/60 - l**4/3 - l**3/2 - 7*l**2. What is the least common multiple of 30 and j(-6)?
90
Let y(d) = 11*d + 5. Let g(v) = v**3 + 7*v**2 - 97*v + 14. Let z be g(-14). What is the least common multiple of y(z) and 7?
35
Suppose 31*b - 26*b = 0. What is the common denominator of 24/5 and -27*(b + 5/365)?
365
Suppose -3*r + 12 = p, 289 = r - 2*p + 292. Suppose 0 = -4*i + 399 + 129. What is the lowest common multiple of r and i?
132
Let k be (7 - 8) + (-9)/((-18)/8). Let a = 9 - 0. Suppose -6 - k = -3*v, 0 = i + v - a. What is the least common multiple of 88 and i?
264
What is the common denominator of 101/6 and (-40190)/(-7740) + (-5 - 0)?
774
Let q be 2236/(-32) + (14/16 - 1). What is the common denominator of -31/5 and q/(-280)*(-308)/(-10)?
10
Let c be 6*13388/3 - (1 - 0). Suppose -3*r = 2*r + c. Let x = -64327/12 - r. What is the common denominator of -145/24 and x?
24
Let t = 237 + -369. Let v be 3/4*13056/t. Let q = v + 7663/99. Find the common denominator of -91/10 and q.
90
Let l be -14 + 4/5*5. Calculate the least common multiple of (l - -3) + (26 - -8) and 153.
459
Suppose 0 = 3*z + 386 - 122. What is the common denominator of z/22 - (-222)/16 and -145/24?
24
Let d = -853 + 907. Calculate the lowest common multiple of ((-6)/15)/(3/(-270)) and d.
108
Let f(u) = -u**3 + 21*u**2 + 21*u - 39. Let g be f(20). Let n = g - 3933/5. Find the common denominator of n and 169/60.
60
Let m be 462065/231 - 1/(-7). Let a = m - 3999/2. Find the common denominator of a and -23/18.
198
Let u = -310390 - -5897389/19. Let r = 29 + -17. Calculate the common denominator of u and r.
19
Let x = -44933275/18 - -2494603. Let u = x - -1691. Let j = 2552 - 15299/6. Find the common denominator of u and j.
18
Calculate the common denominator of 4 - (-82)/(-20) - 102/(-160) and -47/200.
400
Let m be 4/(-6) + 18844/(-12). Let p = m - -18761/12. Find the common denominator of (9