 j be (-7 + 1)/((-9)/(-6)). Let z be j*17*39/52. What is the least common multiple of 12 and 3/(-6)*z - 6/4?
24
Let q be (12837/(-17298))/((-48)/(-53)). Let k = -1/30752 + q. Calculate the common denominator of ((-472)/576)/(36/144) and k.
72
Let v(n) = n + 30. Let k be (-5 - -2)*(-4 + 32/3). What is the lowest common multiple of 59 and v(k)?
590
Let h = -526067/106380 - -941/197. Find the common denominator of h and 39/80.
2160
Suppose 61 - 17 = -4*h. Calculate the common denominator of -43*(-1)/(-24)*(9 + h) and -1/18.
36
Find the common denominator of 57/2575 and ((-44)/(-330))/((48/(-15))/(231/(-5))).
20600
Let i be ((-27)/(-6))/(((-45)/(-10))/9). Suppose -i*s + 275 = -166. What is the lowest common multiple of s and 4?
196
What is the least common multiple of (805/(-138))/((-7)/546) and 1001?
5005
Let h be 1 - 103 - (15 - 12). Let w = 105 + h. Suppose b - 4*i + 8 = w, 56 + 12 = 4*b + 4*i. What is the smallest common multiple of b and 16?
48
Let z = -16354439/418943970 - 38/125809. Calculate the common denominator of -73/20 and z.
6660
Let n(v) = -8*v**3 - 3*v**2 - v - 3. Let r be n(-3). Suppose -s + r = -10*s. Calculate the smallest common multiple of 6 and ((-2)/5 - s/(-60))*-12.
18
Let n = -374 - -384. What is the least common multiple of n and 5538?
27690
Let y(f) = 30*f - 56. Let p be y(6). Suppose -112*w - 2400 = -p*w. What is the smallest common multiple of 80 and w?
400
Suppose -d + 38 = d - v, 0 = 4*d + 5*v - 76. Suppose -24 = d*i - 7*i. What is the smallest common multiple of (19 - 1) + -1*i/1 and 20?
20
Let w = 6 + -5. Let h(u) = -7*u**2 + 206*u + 59. Calculate the smallest common multiple of h(29) and w.
146
Let c be (156/(-104))/((-148)/(-1286)). Let z = 378/37 - c. Find the common denominator of 0 + -1 + 20/34 and z.
68
Let c = 1139 + -451. Calculate the least common multiple of 80 and c.
3440
Let p = 221/8 - 75/8. What is the common denominator of p and 3 + -1 + 3 + 535/(-50)?
20
Let o(x) = -43*x**2 - 2*x + 49. What is the lowest common multiple of 147 and o(0)?
147
Let g(p) = -2*p**3 - 85*p**2 + 36*p + 353. What is the least common multiple of 3 and g(-43)?
654
Suppose -12 = -6*z + 3*z. What is the least common multiple of z and -51 + 15642/110 + -2*1/10?
364
Let q(f) = 3*f**2 - 25*f + 21. Calculate the lowest common multiple of 19 and q(8).
247
What is the least common multiple of 186 and ((-8)/(-10))/((-22)/165) - (-185 - 16)?
12090
Suppose -5*b + 4*b + 15 = 0. Let p be 95/15 - (13/3 + -5). Suppose -154 = -p*i + 14. What is the lowest common multiple of b and i?
120
Let d = -48273/20 + 2415. Calculate the common denominator of d and 61/(-42) - (1 - 3)*1.
420
Let a = 16229/93080 + 214/895. What is the common denominator of 0 - (-2)/((-156)/59) and a?
312
Let t = -1/53 + 949/19398. Find the common denominator of 101/72 and t.
4392
Let t = 52 + -51. Let y be (6/10)/(t/5) - -3. What is the common denominator of y/20*(-10960)/(-288) and -103/30?
60
Suppose -3*r + 7*r = -3*v + 14673, 4*r - 3*v = 14703. What is the smallest common multiple of 360 and r?
18360
Let y be (6/4 + -2)/((-3)/10023). Let o = y + -16893/10. Let m = 493/10 + o. Find the common denominator of -99/2 and m.
2
Let u = 54344 + -11412301/210. Calculate the common denominator of u and -181/462.
2310
Suppose 16 = 4*v + 44. Let c be (-7 - -1 - -4)/(-2). Let b = c - v. Calculate the lowest common multiple of 7 and b.
56
Suppose 0 = -2*c - 3*b - 226, 5*c + 572 = -0*b - 4*b. Calculate the common denominator of (-112)/(-16) + 842/c and (6/(-12))/(2/82).
58
Let w = -172/159 - -34922/32277. Let b = 202521084348178171/215180 - 941170575089. Let r = b + w. What is the common denominator of 37/6 and r?
60
Let a = 95 - 230. What is the common denominator of 41/90 and -4 - (1731/a - -7)?
90
Suppose 5*a + 3*p - 347 = 0, 5*a + p = 186 + 153. Let l = a - 149. Let y = -78 - l. Calculate the least common multiple of y and 106.
212
Suppose 596*w - 57839 = 26197. Let x = -12 - -27. What is the least common multiple of x and w?
705
Suppose 0 = 2*o - 2, -33*o + 37*o = -4*z + 228. What is the smallest common multiple of 140 and z?
280
Let t(v) = 30*v - 131. Let b = 8 - 7. Calculate the lowest common multiple of t(5) and b.
19
What is the lowest common multiple of 213 and 5/(-1) - (17 - 137200/40)?
3408
Suppose b + 10 = -0*b. Let g = 161397/50 - 3227. Find the common denominator of 74/(-80) + 2/b and g.
200
Let p be (-110198)/(-5720) - 6/(-10). Let v = 125/13 - p. Find the common denominator of -33/7 and v.
28
Let x(k) = -6*k - 44. Let j be x(16). Let n = -138 - j. Calculate the common denominator of (532/(-256))/(-7)*n and 47/12.
96
Suppose 0 = -4*t + 4*r - 20, -15*t + 12*t - 2*r - 10 = 0. Calculate the common denominator of (-8046)/13860 - t/7 and -9/20.
220
Suppose -143*c = -140*c - 9. What is the least common multiple of 11 and c - (-3 + (-15)/5) - 2?
77
Let d = -152 - -91187/600. Calculate the common denominator of -49/600 and d.
600
Suppose 2*x - 989*l = -983*l - 42, -4*x = l - 46. What is the least common multiple of 2*2*45/12 and x?
45
Let q = 1/5 - 61/55. Let d be -191*44/36 + (-1)/(-2). Let f = 457/2 + d. Calculate the common denominator of q and f.
99
Let o(j) = -j**2 + 117*j + 2804. What is the smallest common multiple of o(-19) and 3740?
3740
Let z be 80/(-14)*140/(-40). Let i be 8*z/15*9. Suppose -i = -0*b - 6*b. What is the least common multiple of b and 9?
144
Let z = 3601/48 - 431/6. What is the common denominator of -1 + 11/(-36) + -1 and z?
144
Let p be 0 - (100/(-4976))/(-5). Let q = p + 12781/7464. What is the common denominator of q and 167/60?
120
Suppose 0 = -2*q + 3*x + 7 + 13, 0 = 3*q - x - 44. Suppose -23*a = -q*a - 98. What is the least common multiple of 10 and a?
70
Calculate the common denominator of (2/(-8))/(9361/(-3772)) and -24/37.
407
Suppose 4*m - s = 22, -7*m + 12*m - 27 = s. Suppose m*p - 23 = 3*o - 0, -10 = -3*p - 2*o. What is the smallest common multiple of 16 and p?
16
Calculate the smallest common multiple of ((-45)/5 - 0) + 1212/1 and 30.
12030
Let y = 3388 + -10091/3. What is the common denominator of -119/228 and y?
228
Let m be 2 + (-2 - 1613/(-3)). Let w = 22921/42 - m. What is the common denominator of 0 - (-552)/(-702) - (-17)/306 and w?
182
Let s(a) = a**2 + 4. Let b be s(0). Suppose b*c - 20 = 4*j, c + 3 + 0 = -3*j. What is the smallest common multiple of 12 - (3 - (3 - c)) and 5?
45
Let j = 203 + 38. Suppose 2*n + 3*k - 208 = 0, -4*n - 5*k = -j - 179. Suppose -8*p = -3*p - n. What is the smallest common multiple of p and 22?
22
Let r = -475760075850696121/388443 + 1224787358378. Let t = -2/11771 + r. Let v = -1056 + 9455/9. Find the common denominator of v and t.
99
Let t = -3422 - -3425. Calculate the smallest common multiple of t and 393.
393
Let d be 414/(-1111) - (1 + (-54)/66). Let z = 14309/606 - d. Find the common denominator of -32/3 and z.
6
Let b(r) = -r**2 + 14*r + 11. Let s be b(13). Let a be (-7)/(-2)*30104/s. Let g = a - 4411. Find the common denominator of -37/8 and g.
24
Suppose 20*x - 26*x = -18. Suppose -x*i - 5 = -26. What is the lowest common multiple of i and 9?
63
Suppose 0 = -8*i + 13*i - 3*n + 4655, 4*i = 4*n - 3724. Let t = -336/11 + 5321/176. What is the common denominator of t and (i/57)/(16/(-6))?
16
Let x(y) = -y**3 - 83*y**2 - 51*y - 714. Calculate the least common multiple of x(-83) and 2277.
38709
Find the common denominator of 15/22 and 44/(-210)*9/(900/(-245)).
1650
Let f = -215 - -20. Let u = -185 - f. Calculate the smallest common multiple of 20 and u.
20
Let s = 231 + -268. Let d be (-15)/(-2)*(-24)/(-4). Let f = d + s. Calculate the lowest common multiple of 9 and f.
72
Let s = 1/1666 + -42503/33320. Calculate the common denominator of s and ((-275)/(-200))/(2/7).
80
Suppose 5*d = 3*j + 31607, -d - 385 + 6711 = 4*j. Let i = 56959/9 - d. Calculate the common denominator of -75/8 and i.
72
Let k = 5 - -1. Let g = -8 + k. Calculate the common denominator of 25/18 and 70/(-24) + (g - 0) + 2.
36
Let g(b) = -b**3 + 2*b**2 - 3*b - 3. Let i = -16 + 14. What is the least common multiple of g(i) and (3 - 10/2) + 3?
19
Let k = -1/360778 + -1172206/116350905. Calculate the common denominator of 95/54 and k.
11610
Let v = 536 + -416. Find the common denominator of ((-8050)/v)/23 + (1 - 7) and 49/68.
204
