
42
Let r = 30448 + -5297839/174. Find the common denominator of 26/15 and r.
870
Let k be 3*4/3 + (-75 - 3). Let h = -56 - k. Suppose -3*v + 4*s = 14, 4*v - 3 = 2*s - s. What is the least common multiple of h and v?
18
What is the common denominator of ((-66)/55)/2 - ((-4449)/(-1260) - 5) and 102/56 - 6/9?
84
Find the common denominator of ((-2)/7)/((-674)/(-994) - 1) and 35/88.
880
Suppose 5*a + 0*a = 100. Let p(f) = -328*f - 3275. What is the least common multiple of a and p(-10)?
20
Let c = -86 + 92. Let u(d) = 3*d**2 - 4*d + 2. Calculate the smallest common multiple of u(1) and c.
6
Let n = 21730 + -21170. What is the least common multiple of 760 and n?
10640
Let v = 2204615461/4566 - 482833. What is the common denominator of v and -30/7?
31962
What is the common denominator of ((-7)/(-6) + -2)*-33 and 744/558*(-13)/2 - (-2)/(-8)?
12
Let s = 27631/10 + -2766. Let x = -7435/432 - -281/16. Calculate the common denominator of s and x.
270
Let x(o) = o**3 - 10*o**2 - 4*o - 69. Let f be x(11). Find the common denominator of ((-582)/(-48))/(-3 + 2/f) and 83/99.
198
Suppose 26*q - q + 14775 = 0. What is the common denominator of 2/8*(-234)/(-21) and (-4 - -4) + (q/72 - -3)?
168
Let h be (-932)/(-12)*10/(-24). Let z = -190/9 - h. Find the common denominator of 164/(-56) + (-4)/(-14) and z.
28
Suppose -22 = -3*v - 2*k, -3*k + 8*k = 3*v - 50. Let i(n) = 8*n - 32. What is the least common multiple of 33 and i(v)?
528
Suppose 5*l + 4*d - 42 = 10, -d = 2. Suppose -14 - 9 = -f - 3*t, -7 = -f + t. Suppose 3*n - 88 = f. What is the smallest common multiple of n and l?
132
Let v = 3/962 + -1685/481. Calculate the common denominator of v and 23/318.
318
Let a be 4/(56/(-1158))*13. Let h = a - -331839/308. What is the common denominator of h and 15*(-2)/32*1?
176
Let r(u) = 7*u + 270. Calculate the least common multiple of 28 and r(-34).
224
Suppose 0 = -4*f + 2*x + 90, -4*x + 22 = -3*f + 82. Calculate the lowest common multiple of f and 188.
1128
Let f = -2565 + 20605/8. Let r be 141/(-47) + (-116242)/41. Let q = 2838 + r. What is the common denominator of f and q?
328
Suppose -5*n + 1 = 2*q, -5 = -0*q - q - n. Let u be 3*q/6*(-39)/52. What is the least common multiple of 11 and ((u + -2)/(-10))/(1/10)?
55
Let d(t) = -2*t**2 - 16*t. Let j be d(-7). Calculate the common denominator of -23/22 and (j*(-3)/264 - 2)*1.
44
Suppose -2*j + 3*j = 4. Let i(d) = -2*d**2 + 7*d + 9. Let a be i(4). Suppose -4*o = -3*r - 10, a*o - 11 = 4*r + 2. What is the least common multiple of j and o?
4
Let q = 118 - 118. Let j be (q + -1)/((-2)/4). Suppose 0 = -j*l - 10, 0*u - 4*u + l = -125. Calculate the smallest common multiple of u and 21.
210
Let a be (-30)/(-60) - (-154)/4. Calculate the common denominator of -18/11 and (0 - (2 - 2)) + 21/a.
143
Suppose -27958 = -53*p - 24778. Calculate the lowest common multiple of p and 1905.
7620
Suppose -2*t = -2*w - 96, -w = -33*t + 37*t - 172. What is the smallest common multiple of t and 2404?
26444
Let z be (-32)/((-32)/8) - -493. Let u = z - 493. Calculate the lowest common multiple of 4 and u.
8
Let m = -105 + 26. Let v = m - -84. Find the common denominator of 34 and 0 + (-765)/30*v/(-6).
4
Let q = -102378/494077 - 32920529333/14131590354. Let k = q - -293/227. Find the common denominator of -59/3 and k.
126
Let x = -410 + 412. What is the least common multiple of 45 and (-2 + 154/7)/x?
90
Let b = -16535/6 - -3125099/1134. What is the common denominator of b and 7/99?
6237
Suppose -82*c + 1962 = -76*c. Let b = -318 + c. Let x = -5 - -7. Calculate the least common multiple of b and x.
18
Suppose -2*l - 3*b = 0, 5*l - l + 2*b = 0. Calculate the common denominator of l + 126/(-68) + -6 + 9 and 23/16.
272
Let j(a) = 16 - a**2 - 1 - 18 + 5*a. Let s be j(1). Let w(u) = 23*u**2 - u. Calculate the lowest common multiple of 24 and w(s).
264
Let h = -719405 + 10798388/15. Let y = h + -487. Calculate the common denominator of -27/50 and y.
150
Let u be (10 + -1)/(315/36 - 8). Suppose 0 = -u*i + 13*i - 3. Calculate the lowest common multiple of i and 30.
30
Let h = 84079358/885 + -95005. Find the common denominator of -4/27 and h.
7965
Suppose l - 4*l = -75. Suppose 47 = 2*u - w, -110 + 113 = w. What is the smallest common multiple of u and l?
25
Suppose 0 = -2*z - 4*j + 2550 - 1564, -j = 2*z - 989. What is the smallest common multiple of z and 3080?
27720
Let w = -125/13 - -2043/130. Suppose 9*m + 508 + 1472 = 0. What is the common denominator of w and m/33*(-5)/((-350)/12)?
70
Suppose 5*t = -2*l + 6*l - 3, -4*l + t + 7 = 0. Suppose -282*i = -285*i + 414. What is the least common multiple of i and l?
138
Suppose -4 = 4*p, 4*p + 40 = 3*l - 0*l. What is the smallest common multiple of 140 and l?
420
What is the smallest common multiple of 210 and (-15 - 7)*12/(-8)?
2310
Suppose -a + 3880 = -605. Let b = 67313/15 - a. Calculate the common denominator of -53/57 and b.
285
Suppose 3483 = -12*p + 483. Let c = p - -259. What is the smallest common multiple of 39 and c?
117
Let o(m) = -m**2 + 16*m - 56. Let r be (36/(-10))/(10/(-25)). Let s be o(r). What is the common denominator of -95/24 and (-2076)/(-45)*s/56?
120
Find the common denominator of 148/1887*35/(-2) and 1*2 - (-348)/(-72).
102
Suppose 0 = -16*n - 67*n - 13*n + 1152. Calculate the lowest common multiple of 12792 and n.
12792
Let a(i) = 3*i + 4. Let n be a(-3). Let s(d) = 149*d + 1363. Calculate the lowest common multiple of s(-9) and n - -4 - 45/(-1).
44
Let v = 20732116/495 + -41883. What is the common denominator of v and 73/99?
495
Let l(y) = -36*y - 1. Let b be l(0). Find the common denominator of -107/6 and (-58 + 48)*b/(-122).
366
Let o = 4590 + -3994. Calculate the least common multiple of o and 4.
596
Suppose 0 = -2*p + 5*i - 69, -2*i = -8 - 2. Calculate the common denominator of p/(-55)*214/(-8) and 8/2 + 174/54.
90
Calculate the least common multiple of (-2 - 0) + (7 - 2) + -14 + 521 and 102.
510
Let j(r) = -22*r + 794. Let c = -4 + 50. What is the smallest common multiple of j(36) and c?
46
Suppose -2*v - 5*f = -2450, 10*v - 11*v + 5*f + 1240 = 0. What is the lowest common multiple of 105 and v?
8610
Let s = 114426/15905 + 18/3181. Calculate the common denominator of s and -17/132.
660
Let s = -566 - -268. Let t = s + 304. What is the least common multiple of t and 16?
48
Let v be (5 - 8) + (-1)/((-4)/24). Suppose -h = -n - n + 16, -5*n + 42 = -v*h. Calculate the least common multiple of n and 57.
114
Let a = -517284715/1974 - -262049. Calculate the common denominator of a and -211/210.
9870
Let i = 6728428765/7164 - 939200. What is the common denominator of 37/54 and i?
21492
Suppose 0 = 5*t - 0*t - 5*r - 90, 5*r - 43 = -2*t. What is the lowest common multiple of t - 24 - (-35)/1 and 2*(0 + -1) - -32?
30
Let v(d) = 4*d**3 + 41*d**2 - 33*d + 40. Calculate the lowest common multiple of 730 and v(-11).
2920
Calculate the least common multiple of 539 and 2/(-2)*14*(-184)/368.
539
Let k be 19*15 + (-16 - -16). Suppose -216 = 281*x - k*x. Let i(g) = -7*g + 3. Calculate the least common multiple of x and i(-3).
216
Suppose 5*w = 9*w - 32. Suppose c + 18 = -w*c. Let k = 11 + c. What is the smallest common multiple of 4 and k?
36
Let l = 95/77 + -10/7. Find the common denominator of l and 37/77.
77
Let c be -1 + 8*2/4. Suppose -c*x = -4*x - 156. Let k = 2645/17 + x. What is the common denominator of k and -43/7?
119
Let o be 3/((-12)/(-20))*48/20. What is the common denominator of 1/(-4) + 154/o and -31/250?
1500
Let x = 98 + -94. Suppose -5*w + 2835 = 5*o - 0*o, 2*w = x*o - 2286. Let k = 4539/8 - o. What is the common denominator of k and 83/105?
840
Let i = 110374 - 553578/5. Let t = -347 - i. Calculate the common denominator of (-4)/(-72)*(-138 + -1) and t.
90
Let v be (-54)/9 + 324*7/(-2). Calculate the lowest common multiple of (v/((-15)/1))/((-1)/(-2)) and 40.
760
Let o = 11524 - 11340. What is the smallest common multiple of o and 92?
184
Suppose -29*r = -20*r + 153. Let g be (2*1/(-2))/1*r. Find the common denominator of 7/(385/10) + g/(-154) and -37/8.
56
Let r(o) = -45*o**2 + 985*o + 10. What is the smallest common multiple of r(19) and 992?
4960
Let z = -43 - -124. Let r(g) = -2*g**2 - 44*g + 168. What is the lowest common multiple of z and r(-24)?
648
Let n(b) = -b**