 Let y = 638 - v. Calculate the smallest common multiple of y and 40.
360
Let d = 72 - 94. Suppose z + 2 = -2*p, -2*z + 5*p = -0 - 5. Let h = z - d. Calculate the lowest common multiple of 150 and h.
1650
What is the common denominator of 59/312 and ((-2145)/(-2100) + (-8)/14)*(-230)/(-24)?
624
Let w = 7807/126 + -521/9. Let x = 9083/2024 + 19/184. Calculate the common denominator of w and x.
154
Let l(m) = -11*m + 97. Calculate the smallest common multiple of 114 and l(5).
798
Let c be (0 - 0/(-4)) + 2 - 6. Calculate the smallest common multiple of 4/c*3 + 19 and (64/(-40))/((-4)/10).
16
What is the common denominator of -15/412 and 867/(-34)*(-5)/(-2250)*6?
10300
Let h(o) = 74*o**2 - 40*o - 39. Calculate the least common multiple of h(-1) and 501.
12525
Let f = 6/37 + -881/185. Let y be 26*(0 - -4)*(-11)/22. Calculate the common denominator of (-65)/y*4/(80/(-186)) and f.
40
Suppose y = -3*c + 51, -2*c - 16 = -5*y + 137. What is the lowest common multiple of (-1)/(-2)*(-2 + 104) and y?
561
Calculate the common denominator of 24/35 and 6 + 98/(-28) + 1826/(-700).
175
Suppose -3*d = 3*w - 1188, -w - 228*d + 226*d = -403. Calculate the smallest common multiple of w and 2334.
2334
Let c(w) = 19*w + 110. Let l be c(-5). Suppose -4*f = -2*q - 10, -q + l + 0 = 2*f. Calculate the lowest common multiple of 25 and q.
25
What is the common denominator of -113/54 and (-15)/6 + (2/(-30))/((-364)/14590)?
4914
Let y = -1369409/72 - -19020. Calculate the common denominator of (4/(-22))/(32/106) and y.
792
Let k be (-1)/((-6)/(-45) + (-7)/165). Let j(x) = x**3 + 9*x**2 - 24*x - 8. What is the lowest common multiple of j(k) and 14?
14
Let j = 60 - 50. Suppose -3*d + m + 41 = -0*d, -5*d + 50 = 2*m. Let u(o) = o**3 - 11*o**2 - 15*o + 42. Calculate the lowest common multiple of j and u(d).
30
Let w(g) = -10*g**2 - 25*g - 25. Let o be w(-10). Let t = o - -86735/112. What is the common denominator of -99/8 and t?
112
Suppose -7*q - 4*q + 33 = 0. Suppose -33 = -4*u - c, -12 = q*u - 6*u - 5*c. Calculate the lowest common multiple of 14 and u.
126
Let y(x) be the second derivative of 5*x**4/12 + x**3/6 + 7*x. Let h be y(-2). Suppose 6 - h = -4*m. Calculate the least common multiple of m and 24.
24
Let q = -118 - -99. Let h = 92/3 + q. Find the common denominator of -87/10 and h.
30
Let l = 1038494/257533 - 33605328329605/202420938. Let m = -166013 - l. Calculate the common denominator of 85/16 and m.
6288
Let o(m) = -m**3 - 2*m**2 - 2*m - 1. Let a be o(-2). Suppose 3*q + a*f + 2*f = 124, 0 = f - 5. What is the smallest common multiple of 27 and q?
297
Let l = 5/18423 - 118204/5619015. Find the common denominator of l and 73/273.
83265
Let i be 13 + 6*(-4 + 3). Let d(m) = 3*m + 57. Calculate the least common multiple of 18 and d(i).
234
Let v = -48015 - -48033. Suppose -3*k - 1080 = -5*q, 74 + 125 = q - 4*k. Calculate the smallest common multiple of q and v.
1314
Suppose 6 = -3*o + 4*o. Suppose 3*u - 5*w - 92 = 0, u + w - 27 = 1. Suppose 8*a - 296 = -u*a. Calculate the lowest common multiple of a and o.
24
Let q(i) = -3*i**2 + 31*i - 22. Let w be q(7). Suppose 3 = 2*x + 5, 3*x = 3*h - w. Calculate the lowest common multiple of 45 and h.
45
Suppose 76935 = -5933*g + 5956*g. What is the lowest common multiple of g and 12?
13380
Calculate the common denominator of 1/(-1) + (5121/(-270) - -16) and 14/69.
690
Let d be (-4)/14 - (-46)/14. Suppose -157*s - 27 = -166*s. Suppose -5*v = -2*v, -d*v - 24 = -s*y. What is the least common multiple of 14 and y?
56
Let k(w) = 17*w**2 - 402*w - 14. What is the smallest common multiple of 4 and k(24)?
260
Let m be (2/4)/(2/4). Suppose -5*v + m + 14 = 0. Calculate the lowest common multiple of (-9)/4 - (-2904)/352 and v.
6
Let n = 71777/279048 - -3/8456. Let x = 1187/28 - -3/28. What is the common denominator of n and x?
66
Suppose -55*r + 630 = 8*r. Calculate the smallest common multiple of 180 and r.
180
Let l be 10/4*(-1326)/(-255). What is the smallest common multiple of 58 and l/(-39)*-12 + 1*14?
522
Suppose -11*i + 210 = 5*p - 10*i, -i + 168 = 4*p. Suppose -109*c + p = -106*c. Calculate the least common multiple of c and 4.
28
Suppose -5*c = 2*c - 91. Let n(r) = -4*r + 3. Let w(v) = 7*v - 6. Let p(g) = 5*n(g) + 3*w(g). What is the lowest common multiple of p(c) and 11?
110
Let m = 918 + -770. Calculate the common denominator of m/(-18) + (-8 - (1 + -12)) and 0 - ((-14)/20 - -2).
90
Suppose 3*a + 3 = 4*o - 3*o, -6 = -2*o + 3*a. Suppose -o*b - b = 0. Suppose b = 3*h + h - 60. What is the lowest common multiple of h and 7?
105
Let f = -17233843123469/186 + 92655297536. Let w = -226979 + f. Find the common denominator of 67/12 and w.
372
Suppose 1572*u - 1599*u + 120 = -447. Calculate the lowest common multiple of 2250 and u.
15750
Let n = 178 + -168. Let a = n + -7. Calculate the smallest common multiple of 5 and a.
15
Calculate the common denominator of -137/114 and -14 + 6 + -1 - 2065/(-270).
1026
Let h = 10 - 17. What is the common denominator of (30/(-16))/((-6)/13) and (h - (0 + -36))*(-3)/(-14)?
112
Let v = -7013/20 - -1427/4. Let h = -2/2301 + -66709/23010. Calculate the common denominator of h and v.
10
Suppose 0 = 17*c + 12*c - 15950. Suppose c = -f + 640. What is the smallest common multiple of f and 30?
90
What is the common denominator of 184*123/6864 - 3 and 67/432?
61776
Let y(w) = w**3 + 33*w**2 + 209*w + 141. What is the least common multiple of 1248 and y(-23)?
1248
Let r = 40208023537/78 - 515469755. Let a = r + -17726. Find the common denominator of -8/39 and a.
78
Let o be (10/(-5))/4 + (-86)/(-4). Suppose -o*a + 14*a = -56. Let l(p) = p**2 + 4*p + 6. What is the least common multiple of l(-2) and a?
8
Let x be 143/((-98)/(-48) - (-14 + 16)). Let s = x + -68553/20. What is the common denominator of -65/16 and s?
80
Suppose 5*v = -2*i + 18 - 15, -5*i - v + 19 = 0. Suppose h - i*c - 4 = 4, -5*c - 21 = -4*h. What is the smallest common multiple of 32 and h?
32
Suppose -5*p = 5*f + 5, 5*f + 3 = 2*f. Suppose 3*g - 39 + 219 = p. What is the common denominator of (9/g)/((-4)/5) and 43/22?
176
Let m(q) = -4144*q + 14. Let s be m(-1). Calculate the common denominator of (0 - (-1477)/s) + (-4)/(-22) and 17/3.
54
Let m(j) = -24*j - 404. Calculate the lowest common multiple of m(-20) and 452.
8588
Suppose 0 = -3*h - 12, -5*x = 3*h + 5 + 12. What is the common denominator of -2 + (164/84*-1 - x) and (-472)/126 - 2/(-9)?
21
Let w = 22393/60 - 1899/5. What is the common denominator of 15/556 and w?
1668
Suppose -8654 + 8646 = -8*x. What is the least common multiple of x and 935?
935
Let k be ((-42)/5)/(6*4/(-120)). Calculate the common denominator of (-14)/k + 171/(-30) and -49/50.
150
Let l be 749469/252 + (-5)/2. Let w = l + -2969. Find the common denominator of 101/40 and w.
120
Let i(v) = 3*v**2 + 6*v - 6. Let f be i(5). Let z = f - 65. Calculate the lowest common multiple of 12/(-9) + z/3 and 22.
110
Let x = 109 - 38. Let d = x + -58. Calculate the least common multiple of d and 2.
26
Calculate the common denominator of 171/(-6) - -10 - -7 and 43/84.
84
Let r be (1/(-3) + 2)/((-25)/(-30)). Find the common denominator of 8*(-15)/(-80) + (-10)/(-16) and r/(-8) - (-156)/160.
40
Let c(v) = -v**3 + 2*v**2 - 2*v + 13. Let f be c(-7). Let l = 24 + -19. Calculate the common denominator of -101/24 and 0 + 1/l + f/(-135).
120
Let i = 295779 - 91100027/308. Find the common denominator of i and 97/396.
2772
Let u = -12523 + 350599/28. What is the common denominator of -23/28 and u?
28
Suppose -5*m + 43 - 398 = -2*y, -4*y + 5*m + 705 = 0. What is the common denominator of 69/35 and ((-252)/y)/(1/1)?
175
Let n = -4186/3 + 1377. What is the common denominator of 47/316 and n?
948
Let x = -2818 + 3523. What is the least common multiple of x and 55?
7755
Suppose -192*w + 59972 = -92075 + 28015. Calculate the smallest common multiple of 418 and w.
7106
Suppose 6*p - 4*p = -z + 492, p - z = 246. Suppose p = 41*q - 40*q. Calculate the lowest common multiple of 2 and q.
246
Let f = 128 + -113. Let p be 21/3 - (f + -10). Suppose -5*v + p*h = -13, -5*v + 0*h + 17 = 2*h. Calculate the smallest common multiple of v and 18.
18
Let w = -18 - -68. Let a = w + -28. Suppose 51*f - 46*f - 10 = 0. What is the least common multiple of f and a?
22
Let 