3*c + 24. Calculate the common denominator of (-1 + c)*3055/564 and -5/12.
12
Let m = -2127 + 3828. Calculate the least common multiple of m and 10.
17010
Let n = -38 - -8. What is the smallest common multiple of 21 and 1/2*(n/(-5) + 48)?
189
Suppose -10*h + 417 = -613. Let b = h - 94. Calculate the common denominator of -19/22 and ((-4)/(-30))/(b/(1593/4)).
110
What is the common denominator of (-5)/4 - (-546)/(-63) and (-1)/(-1) - 175/36?
36
Let p be (3/(-15))/((-2)/14305). Let b = 1475 - p. What is the common denominator of b and ((9/(-60))/3)/(2/194)?
20
Let p be 0 - 2/(-7) - (-215936)/196. Calculate the common denominator of 83/2 and p/60 - 17/((-850)/40).
6
Let u = -7466 + 918269/123. Find the common denominator of u and -109/10.
1230
Suppose 63*r + 10 = 68*r. Let p be (56/84)/((4/27)/r). Suppose -p = -4*k + 15. What is the smallest common multiple of k and 1?
6
Let b = -10204 + 10588. Calculate the lowest common multiple of b and 864.
3456
Let a = 542432599/28290 + -441000/23. Calculate the common denominator of 17/30 and a.
1230
Let b(r) = -r. Let q be b(-2). Suppose 330 = -7*z + q*z. Let t = -61 - z. Calculate the lowest common multiple of t and 15.
15
Suppose r + 3*r - 22 = 3*p, 5*r = 4*p + 28. Let x be (24/10)/((-6)/(-15)) + p. Suppose -i - 12 = -x*i. What is the smallest common multiple of i and 7?
28
Let y = 12 - 2. Suppose 3 = 2*n - 11. Suppose 0 = 4*g - 3*j - 37, g - 2*j = n + 1. What is the least common multiple of y and g?
10
Let d be ((-4108788)/(-1995))/((-9)/10). Let u = d + 2289. Calculate the common denominator of -16/69 and u.
483
Let j(i) = -3*i + 92. Let o be j(0). Suppose -4*x - o = -6*x. Calculate the least common multiple of x and 2.
46
Suppose 2*c = -4*m - 2, m + 9 = -2*m. Suppose -5*t + t = -3*r - 29, -c*r = -3*t + 30. What is the common denominator of 65/22 and r/(-54)*(-777)/(-14)?
132
Suppose -11*o + 5950 = 3200. Calculate the least common multiple of 20 and o.
500
Suppose 143 = 2*a - 5*t, 188 = -3*a + 5*a + 4*t. Suppose -27*p - a = -34*p. What is the least common multiple of p and 28?
84
Let w = 8 + -40. Let u = w - -51. Suppose -21*a + u = -20*a. What is the least common multiple of 5 and a?
95
Let a = 9/187 - 2237/3740. Let v be (17141/93)/(272/12 - -4). Let k = -451/80 + v. What is the common denominator of a and k?
620
What is the common denominator of 0/2 - (-2 - (-354)/72) and (-1)/((-80)/472)*(-1 + 2)?
60
Let k be 1/(-2) - 8/(-16)*397. Let o = k + -70. Find the common denominator of 1/12 and (1/o)/(1/174).
192
What is the lowest common multiple of 2 and -10 - (-17 - -11)/6*220?
210
Let f be ((-504)/54)/((-2)/1134). Let m = -47681/9 + f. What is the common denominator of (75/15)/(-1 + (-124)/(-22)) and m?
153
Suppose -28*b + 84 = 14*b. What is the common denominator of 49/5 and (b - (-790)/16)*4/(-9)?
30
Let d = -3875/234 + 7/117. Find the common denominator of (0 + 6/(-33))/(-1*6/72) and d.
22
Let s = -11353 + 11365. Let w(t) = -29*t**3 + t**2 + 2*t. Calculate the lowest common multiple of s and w(-1).
84
Let m = 175097032/657 - 266510. Calculate the common denominator of -35/146 and m.
1314
Suppose 2*h = 2*x + 60, -h + 15 = -2*x + 6*x. Suppose -l + 116 = -h. Calculate the smallest common multiple of 78 and l.
858
Suppose 0 = g - 336 + 1044. What is the common denominator of 2/6*g/(-16) and (1 - (-225)/(-6))*(-13)/260?
40
Let l = 333 - 328. Suppose -l*b + 566 = 161. What is the smallest common multiple of 27 and b?
81
Let k = -264041/258610 + 28/2351. What is the common denominator of k and -53/1507?
15070
Let u = 189655 - 79655039/420. Calculate the common denominator of 163/42 and u.
420
Let g(z) = 32*z**2 - 424*z - 3808. What is the lowest common multiple of g(-9) and 10?
2600
Let s = -188 + 191. Suppose 3*m = -s*y + 120, -m = y + 3*y - 40. Calculate the least common multiple of 72 and m.
360
Suppose 0 = -71*p + 5880 + 7965. Calculate the lowest common multiple of p and 975.
975
Calculate the common denominator of 17/717 and (180/24 - 10)/(144/(-116)).
17208
Suppose -204 = -3*k - 2*o, 11*o + 300 = 4*k + 9*o. What is the least common multiple of k and 72?
72
Let l = 5 - 3. Let x = 0 + 0. Calculate the smallest common multiple of 8*((-63)/(-28) - x) and l.
18
Suppose 5*c + 2*h - 4682 = 0, h = -95*c + 91*c + 3748. What is the least common multiple of 140 and c?
9380
Suppose -10*k - 8*k = 107910. Find the common denominator of 58/5 and ((-6)/200)/(5 - (-30107)/k).
80
Let q = -9 + 7. Let r = 5299/472 + 35/236. What is the common denominator of q/(-24)*513/(-12) and r?
16
Let i = 275 + -149. Let y = i + -106. Calculate the smallest common multiple of y and 2.
20
Let s = -30/751 - -62479/78855. Find the common denominator of s and 53/147.
735
Let w(y) = -2*y**2 - 17*y + 1. Let f be w(-12). Let z = f - -123. What is the smallest common multiple of z and 16?
80
Let l(k) = -111*k + 12540. Calculate the lowest common multiple of l(105) and 236.
3540
Let x(h) = -2*h**2 + 52*h - 42. Let s be x(19). Suppose -21*n + 5*n = -s. Calculate the smallest common multiple of n and 7.
14
Let b be 288/(-504) - (-498)/14. Suppose 7*q + b = d + 6*q, -2*q = 5*d - 161. Calculate the lowest common multiple of 6 and d.
66
Suppose 194*i - 183*i - 88 = 0. What is the least common multiple of i and 4/10*165*1?
264
Let m = -475 - -1047. Calculate the least common multiple of 26 and m.
572
Let y = -70850 + 8289451/117. Let t = 25985 - 2104837/81. Find the common denominator of y and t.
1053
Let h(s) = -s**3 + 18*s**2 - 32*s + 15. Let i be h(16). Calculate the common denominator of -13/20 and (29/(-3))/(50/i).
20
Let g(z) = 341*z**2 - 1. Let n be g(-1). Find the common denominator of 2 - 5 - n/(-48) and 4 - ((-355)/(-75) - -2).
60
What is the common denominator of -89/708 and ((-47)/(-20))/(-222 + 229 - (-2054)/10)?
4248
Let g(y) = -y**2 - 282*y - 1899. Let x(s) = s**3 + 2*s**2 - 3*s - 1. Let u be x(-2). Suppose -8 = q - u*q. What is the lowest common multiple of g(-7) and q?
26
Suppose 3*o - 47 = 4*q + 2*o, -2*o = 4*q + 38. Let g(m) = -39*m - 57. Let w be g(q). Calculate the common denominator of 67/3 and 4/(-10) + w/80.
12
Let c = 8718 + -8531. Calculate the lowest common multiple of c and 935.
935
Suppose -11*c + 4*b = -9*c - 6406, 0 = -3*c - 4*b + 9649. What is the common denominator of c/520 - 3/(-15) and -39/76?
152
Suppose 2*w = -0*w - 5*b + 92, 2*w + 4*b - 88 = 0. Let s be (3 - w/4)/(19/(-13)). Let y = 1989/304 - s. What is the common denominator of y and -34?
16
What is the lowest common multiple of 319791/703 + (-6)/(-57) and 325?
2275
Let k(o) = o**3 + 5*o**2 + 7*o + 12. Let l be k(-4). Suppose l = -5*h + 7*h + 2*d - 356, 2 = d. Calculate the smallest common multiple of h and 10.
880
Let f = 21 - 21. Suppose 0*y - 3*y + 109 = 2*i, 2*y - 4*i - 78 = f. Let p = 65 - y. What is the lowest common multiple of 10 and p?
140
Find the common denominator of 51/1220 and (51/(-510))/((-9)/86).
10980
Suppose 8*l + 40 = 160. Let i = l + -23. Let u(t) = -5*t - 14. Calculate the smallest common multiple of 14 and u(i).
182
Let a(v) = -v**3 + 4*v**2 + v + 5. Suppose -2*n + w = -12, n - 3*w - 8 = 2*n. Calculate the least common multiple of 7 and a(n).
63
Let d = 36 - 28. Suppose -464 + 128 = -12*n. Calculate the lowest common multiple of n/(-12)*(-4 - (0 - 1)) and d.
56
Suppose 6*l + 95 = -31. Let j(i) = 7*i - 4. Let o be j(7). Calculate the common denominator of l and (-93)/o - (-4)/10.
3
Let j be (2/(-750))/((-40)/108). Let i = -58943/60000 - j. Calculate the common denominator of i and -59/16.
96
Let i = -7719023209/3598 + 2145365. What is the common denominator of 71/63 and i?
32382
Suppose d - 84 = -2*w + w, -w + d + 76 = 0. Suppose 3*l - w = -62. What is the least common multiple of 18 and l?
18
Let m = -145383/17 + 225927749/26418. Find the common denominator of m and 8/999.
13986
Let h = -97 - -100. Suppose -164 = -4*y - 5*s + 71, h*y - 177 = -3*s. Calculate the least common multiple of 50 and y.
300
Suppose -3*u - 4*o = -19, -3*u - 5*o + 25 = 5. Suppose 0 = 3*g - 8*g. Suppose 4*a + g*k + k = 154, 3*a - k = 112. What is the least common multiple of u and a?
190
Suppose 179*i = 3*i + 352704. Calculate the smallest common multiple of i and 1169.
14028
Suppose -3*j = -5*j - 4. Let r(n) = -39*n - 3. Let z be r(j). Find the common deno