st common multiple of 22 and r.
506
Let a = 993479/53 + -18745. Find the common denominator of a and 34/275.
14575
Let p(i) = 45*i**2 - 3*i. What is the smallest common multiple of 156 and p(1)?
1092
Let u be (1 - 5)/((-60)/165). Suppose 0 = 46*p - u*p - 7665. What is the lowest common multiple of p and 7?
1533
Calculate the common denominator of 59/14 and (-6)/(-51) - 8076/(-2448).
84
Let q = -174 - -174. Suppose 0*d - 24 = -m + 3*d, 4*d - 4 = q. What is the smallest common multiple of 6 and m?
54
Suppose 33*u + 116 - 1172 = 0. Calculate the common denominator of 62/39 and 3 + 169/8 - (-12)/u.
78
Suppose -3*p + 3217 = -5*i - 3991, -4*p - 8*i = -9640. Calculate the lowest common multiple of 24 and p.
9624
Let n = 33167/83148 - 76/169. Find the common denominator of -33/20 and n.
2460
Let s = -17 + 7. Let b(n) = -n + 5. Calculate the smallest common multiple of ((-3)/2 - 19/s)*145 and b(-6).
638
Suppose -4*y - 188 = 5*f, 3*f + 37 + 77 = -3*y. Let a = -46 - f. Calculate the least common multiple of 17 and (-3)/(-2) + -1*(-5)/a.
17
Suppose 6*u + 17 = 29. Suppose -5*l = -3*c - l + 364, -u*c - 4*l = -276. What is the least common multiple of c and 3?
384
Calculate the smallest common multiple of 15 and (32 + 64)/(-8) - -19*1.
105
Let n = 90 - 39. Let y = -27 + n. Find the common denominator of 38/5 and 38*3/y*(-3)/(-2).
40
Let d(x) = x**3 - 8*x**2 - 109*x + 858. Calculate the least common multiple of 11/(-3)*(2 + -110) and d(11).
396
Let q = 309509/24 - 12898. What is the common denominator of -111/1000 and q?
3000
Let r(a) be the first derivative of -a**3/3 + 4*a**2 + 34*a - 30. What is the least common multiple of r(11) and (-160)/(-25) + 4/(-10)?
6
Let r(c) = -c - 23. Let a be r(-24). Let t be -65*2*(4 + -3). Calculate the common denominator of a/6 + (-247)/t and 52/5.
15
Let w(m) = 2*m**3 + 6*m**2 - 3*m - 12. Let z be w(-18). Let v = -77527/8 - z. Let f = v - 125/8. Find the common denominator of f and -65/14.
14
What is the common denominator of -107/7270 and 15/12*16302/(-1045)?
7270
Let z be (-14*2/(-120))/((-2)/(-488)). Let p = z + -1349/24. Let j = 52127/24 + -2166. Calculate the common denominator of j and p.
120
Let d = 607/168 - -11/42. Find the common denominator of d and 91/5136.
5136
Let x = -60/511 - -19027/1022. What is the common denominator of x and -49/51?
102
Suppose l = -49 - 28. Let r = 1697/976 - -9/122. Calculate the common denominator of r and (l/(-84))/((-4)/(-27)).
16
Let c = 296 + 2189. What is the lowest common multiple of c and 210?
14910
Suppose 0 = -w - 4, -7*d + 2*d = 5*w + 170085. Let f = d - -816437/24. Let n = 31/18 - 3/2. Calculate the common denominator of f and n.
72
Let t(k) = k**2 + k - 4. Let u be t(-7). Suppose 5*z = -3*x + x - 44, 4*z = -4*x - 100. Let w = u + x. What is the smallest common multiple of 4 and w?
44
Suppose 3*a + 5*o - 19 = o, 3*a - 15 = -3*o. Let s be 20/8*16/10. Suppose 0 = s*q, -2*q = 3*g + q - 39. Calculate the smallest common multiple of g and a.
13
Calculate the least common multiple of 158 and (-102 - 146)*(-1)/4.
4898
Let z = 1424 + -553. Let u = 296 - z. Let x = u + 5216/9. Find the common denominator of -17/27 and x.
27
Suppose 0 = -5*f - 5*k + 96 - 11, f - 2*k = 20. Suppose -19*r = -f*r - 21. Calculate the lowest common multiple of r and (6/4)/(4/88).
231
Let w be (24/28)/((-30)/280). Calculate the common denominator of ((-3330)/225)/(w/(-5)) and 54/5.
20
Let g = 21647 + -21602. Suppose -2*c + 5*p + 37 + 25 = 0, 4*p = -5*c + 89. What is the lowest common multiple of c and g?
315
Let w be ((-15)/6)/(50/(-840)). Let x = w + -34. Suppose 3*s + 5 = 4*s. Calculate the smallest common multiple of s and x.
40
Let s = -591107/36 - -16417. Find the common denominator of (690/80)/((-18)/4) and s.
36
Let m(t) be the third derivative of t**5/60 + t**4/24 + 11*t**3/6 - 12*t**2. Let x be m(0). Calculate the lowest common multiple of x*(-2 + 3) - 0 and 3.
33
Calculate the common denominator of (-3894)/48312 - (-1)/(-3) and 37/44.
2684
Suppose 0 = -4*r - 4*q + 1407 - 219, -2*r - 4*q = -600. Calculate the smallest common multiple of r and 6.
294
Let v = -218 + 233. Suppose -17*p = -16*p - v. Suppose -3*t = -5*a - 5 - 7, 4*a = 3*t - 15. Calculate the least common multiple of t and p.
45
What is the least common multiple of 1942 and (-8)/(-2)*3745/1070?
13594
Let d(u) = 19*u + 1195. What is the lowest common multiple of 20 and d(-33)?
2840
Let k be (0 + 1)/(18/(-108)). What is the common denominator of -95/2 and (-53)/(-6)*k/(-4) - -1?
4
Let l = 7596 - 7576. Suppose 2*w + 2*w - 192 = 0. What is the least common multiple of w and l?
240
What is the common denominator of 1454/(-1219) - (-1434)/1195 and 29/15?
18285
Let b = 78637 - 78605. What is the least common multiple of 0 + (96/2)/2 and b?
96
Suppose -264 = 26*s - 24*s. Let v = 184 + s. Calculate the lowest common multiple of 10 and v.
260
Let l = -1434209/372 + 7711/2. What is the common denominator of -10/93 and l?
372
Let q = 5717/7469 + -13/1067. Let p = 60 - 425/7. Find the common denominator of q and p.
77
Find the common denominator of ((-6)/(-16))/((-4059)/(-185812)) and 71/3387.
6774
Let z = 32 + -3. Let q = -37 + z. Calculate the lowest common multiple of 5/((-60)/q) - (-44)/6 and 13.
104
Suppose 0 = -4*y + 5*y - 12. What is the common denominator of y and (-1)/9 + (12 - -14)/13 + -2?
9
Let o be 21 - -8*(-4)/32. Suppose -o = -6*x + x. Suppose 4*w - 3*w - 3 = 0, -2*w + 42 = 3*f. Calculate the lowest common multiple of f and x.
12
What is the common denominator of (74/288)/(-10*(12 - 16)/12) and 101/128?
1920
Let w = 33/46 - 37643/52440. What is the common denominator of w and -125/108?
20520
Let s = -81 - -48. Let c = -22 - s. What is the common denominator of c and ((-1)/3)/(1720/(-816) - (-6 + 4))?
11
Let t(g) = -g + 12. Let j be -3 + (-1 - (-6)/1). Let v(q) = q - 11. Let f(s) = j*v(s) + 3*t(s). What is the least common multiple of f(0) and 18?
126
Let z(h) = -2*h**3 + 84*h**2 + 175*h + 72. What is the lowest common multiple of 560 and z(44)?
560
Let z = 40 - 28. Suppose -5*o + o = 5*l - 120, 0 = -2*l + 2*o + 30. Suppose 7*a - l - 36 = 0. Calculate the least common multiple of z and a.
24
Suppose 228*j = 202*j + 52. Suppose 4*s - 371 = 61. Suppose -j*i + 0*i + 2*z = -s, -i + 42 = 5*z. Calculate the lowest common multiple of 8 and i.
104
Let a = -28338410/153153 + 9437/51. What is the common denominator of -86/63 and a?
9009
Let m = -162 - -239. Let r(w) = 4*w**2 - 28*w - 76. Calculate the least common multiple of m and r(-3).
308
Suppose -116*r + 743 = -115*r - c, 5*r = 4*c + 3716. What is the smallest common multiple of 18 and r?
2232
Let r(m) = -8*m - 78. Let z(y) = -9*y - 76. Let k(n) = -5*r(n) + 4*z(n). Calculate the least common multiple of k(13) and 12.
276
Calculate the common denominator of ((-1)/2*99/51)/((-176)/(-66)) and -71/102.
816
Calculate the common denominator of (-231)/78 - 2286/(-1016) and -18/107.
5564
Suppose 3*b + 2*h + 70 - 228 = 0, 12 = 3*h. Let z = -18 + 26. Calculate the smallest common multiple of z and 5/3*180/b.
24
Let j(s) = 5*s**2 + 161*s + 5686. Calculate the least common multiple of 6336 and j(-42).
69696
Let l(r) = 9*r + 112. Let j be l(-12). Suppose 3*n - 5*n - 376 = -4*q, 0 = j*q + 4*n - 364. What is the lowest common multiple of 18 and q?
558
Let k(o) = -7*o**3 - o**2 + 23*o + 7. Let x be k(-9). Let a = x + -81950/17. What is the common denominator of 50/9 and a?
153
Calculate the common denominator of (-18987)/7848 + 1 + ((-826)/42 - -21) and 12/763.
6104
Let v = 2/2055 + 20777/1370. Calculate the common denominator of v and -131/402.
402
Let v(l) = -5*l**2 - 372*l + 243. Let r = 8 - 23. What is the lowest common multiple of v(-75) and ((-18)/r)/(2/10)?
18
Suppose 456 = n + 37*n. Suppose 7 = n*u - 137. Calculate the least common multiple of u and 210.
420
Calculate the common denominator of -99/80 and 9516/(-10080) + 2/(-8)*(-112)/98.
240
Suppose 2*j = -4*h + 1618, -11*h = j - 10*h - 805. Calculate the lowest common multiple of j and 712.
6408
Let n = -214 - -269. Suppose -91 - 14 = -3*b + 3*l, 0 = -b + 5*l + n. What is the least common multiple of b and 123?
1230
Let q be (-199885)/42 + 7/42. Let z = q - -57149/12. What is the common denominator of z and -107/60?
60
Suppose 2*a + 421 = 153. 