he common denominator of -9/110 and -438*3/(-4485) + (-38)/247.
2530
Suppose 0 = 3*s - 0*s + 4*o + 13, -6*s + 14 = -2*o. What is the smallest common multiple of 90 and (1700/12 - s) + 14/(-21)?
1260
Let f = 2 - 2. Suppose 278*u - 64 = 262*u. Let i = u + f. Calculate the least common multiple of i and 16.
16
What is the common denominator of -169/168 and (9202/428)/(((-72)/20)/(1/10))?
504
Suppose 4*s = -2*t - 24, -5*s = -5*t - 68 - 37. Let l be (-18 - t)*(2/(-4) - 0). What is the least common multiple of 10/(-10)*(l + -2 - 16) and 3?
18
Let j(v) = -170*v + 1951. Calculate the lowest common multiple of 135 and j(11).
405
Suppose -7*s = -19*s - 27852. Let t = s + 9205/4. Find the common denominator of 37/42 and t.
84
Let g(f) be the third derivative of -f**5/60 - 5*f**4/12 - f**3/2 - 2*f**2. What is the least common multiple of (25/(-10))/(((-2)/6)/((-24)/(-9))) and g(-9)?
60
Suppose -p - 4*m + 16 = 0, -2*p - 5*m + 35 = -0*p. Find the common denominator of 93/8 and (38/(-133))/((-2)/p) - -4.
56
Suppose 4*v + 3 = 19, 2*v + 4 = 3*n. Find the common denominator of (3/(-4) + 0)/6 and 4300/(-80)*n/(-90).
72
Let j be (-4 + (-4)/(-3))*15/(-2). Suppose 4*l + j = -5*g + 78, -5*g = -2*l - 46. What is the lowest common multiple of g and 504?
2520
Let k = -823901/48573432 - 1/74959. Find the common denominator of k and -137/2160.
6480
Find the common denominator of (550/(-7))/5*((-451)/88 - -5) and -61/966.
1932
Let g = -108 + 113. Suppose 15 = g*j, -31 = -3*d - 5*j + 74. What is the lowest common multiple of 12 and d?
60
Let g be -7 - (-1)/(-1*(4 - 3)). Let y(b) = -3*b**2 - 27*b - 17. Calculate the lowest common multiple of 118 and y(g).
826
Let s(v) = 20*v + 1054. What is the lowest common multiple of s(-46) and 2?
134
What is the common denominator of (3/(-14))/((-4)/34) and (2912/(-336))/((-160)/(-42))?
280
Calculate the smallest common multiple of (-8)/12 - ((-11400)/36 + 12) and 236.
17936
Suppose -5*m = 333 - 1273. Let q = m + -186. Suppose 0 = -3*r + 2*z + 35, 3*z = r - 8 - 13. Calculate the smallest common multiple of q and r.
18
Let m be 0 + 1*15 + (-12)/(-4). Let r be 2*m*(-2 + 1905/12). Calculate the common denominator of (-2)/(-13) - r/(-8866) and 19/12.
372
Let m = 74301349955210749/211530 + -351256795517. Let s = -5259641/3094620441 - 1/438891. Let v = m + s. Calculate the common denominator of -51/4 and v.
60
What is the common denominator of (-1 - (-39)/65)/((-159)/(-48) - 3) and 83/760?
3800
What is the common denominator of ((-320)/(-64))/(20/12 + -1) and -1/19160?
19160
Calculate the smallest common multiple of 280 and ((-1180)/70 + 10)/((-4)/28).
1680
Let v = 23/116 + -6517/1276. Let o(y) = -y**3 - 7*y**2 - 14*y + 2. Let s be o(-6). Let k = -128/3 + s. Calculate the common denominator of v and k.
33
Let z = -529/36 - -455/18. Find the common denominator of z and 4/(-10)*708/96.
60
Let k be 2/18 + ((-31065)/(-108) - -10). Let l = k + -301. Calculate the common denominator of 37/320 and l.
320
Calculate the least common multiple of 1 - (-8)/(-4) - (-22 - -11) and 736.
3680
Let v = -1/79 + -233/316. Find the common denominator of v and (4/(-640))/((2176/560)/17).
256
Suppose 29*j - 89*j - 445 + 8845 = 0. Calculate the lowest common multiple of j and 280.
280
Let g = 1185/247 - 1023561/206245. Let l = g + -31849/85170. Calculate the common denominator of l and ((-146)/4 - -2)/(-2).
204
Find the common denominator of (4 + -10)/(-18) - 448/12 and (-636)/603 + 7*(-2)/(-21).
67
Let u(d) = 2*d**2 - 12*d + 16. Let g be (8*-7)/(-4)*(-3)/(-6). Suppose 3*m - 2*j + 1 = 0, 5*m + j = -j + 25. Calculate the least common multiple of m and u(g).
30
What is the common denominator of 6/(-10) - (-41354)/1740 and 9 - ((-97425)/(-2268))/5?
252
Suppose -9*b = -5*b + 40. Let j(r) = -r**2 - 11*r + 6. Let m(a) = 2*a**2 + 22*a + 16. Calculate the lowest common multiple of m(-11) and j(b).
16
Let f be 5/3 - (5903/(-24) - 9). Let a = f + -253. What is the common denominator of a and 55/2?
8
Suppose 688 + 89 = 7*p. Let z = p - 99. Suppose -16*k = -z*k - 168. Calculate the least common multiple of 27 and k.
378
Let q = -6611 + 7061. Calculate the smallest common multiple of 270 and q.
1350
Let c = 4/37 - -5/296. What is the common denominator of (18/22 - 1) + 447/1188 and c?
72
Let f = 74 - 19. What is the common denominator of 30/f + 4285/(-1100) and -179/270?
540
Suppose -5*x = -4*s + 225, -94 - 72 = -3*s + x. What is the lowest common multiple of 15 and (-308 - -306)*(s/(-2) - 0)?
165
Suppose -1236 = -b - 2*h, -10*h = -5*h - 10. Calculate the common denominator of 6/(-14) - (-2 - (-2818)/b) and -3/32.
352
Suppose -s - 138 = 3*y, 4*s + 11*y - 14*y = -492. Let g = s + 146. Calculate the smallest common multiple of g and 100.
100
Calculate the smallest common multiple of (4 - (42 + -17))*(2 - 40/14) and 107.
1926
Let f = 3549 + -3445. Calculate the smallest common multiple of f and 12.
312
Let m(b) = 11*b**2 + 2*b - 3. Let o be m(2). Suppose -z - o = -5*x, -2*x = -z - 26 + 5. Let q = 143732 + -143674. What is the lowest common multiple of x and q?
232
Let r = 54455/12696 - -4/1587. What is the common denominator of r and -58/183?
1464
Suppose -21*t + 444 = -17*t. Let n = 971/8 - t. Calculate the common denominator of (-2)/(-4) + (-10)/(-24) and n.
24
Let s(l) = 56*l**2 + 539*l + 1596. Calculate the lowest common multiple of s(-3) and 115.
2415
Suppose -182*r + 180*r = -3*q - 726, 5*q = -10. What is the lowest common multiple of r and 270?
1080
Let i(g) = 23*g - 234. Let m be i(18). Suppose m = -k + 7*k. Calculate the smallest common multiple of k and 15.
30
Let o(k) be the first derivative of -k**4/2 - 32*k**3/3 - 5*k**2/2 - 56*k + 89. Calculate the smallest common multiple of o(-17) and 4.
2428
Let q = 26833 + -26825. What is the smallest common multiple of 508 and q?
1016
Let q = 7/1935 - -330794/25155. Let d = q + -939/104. What is the common denominator of d and ((-4545)/(-3434))/((-4)/(-40)*12)?
136
Let u = -260 + 364. Suppose 2*o - 5*h + h = u, 4*o - 2*h = 178. What is the smallest common multiple of o and 3?
42
Let i = 33 - 143. Let m = i - -125. Suppose m*w - 8 = 13*w. Calculate the lowest common multiple of w and 11.
44
Let f(r) = -81*r - 315. What is the lowest common multiple of 138 and f(-5)?
2070
Let v(j) = -1243*j - 2031. What is the lowest common multiple of v(-4) and 102?
17646
Let t = -173483/113504 - 10/3547. Find the common denominator of -23/2688 and t.
2688
Suppose 4*k + 5*q - 41 = 0, -5*k - 3*q + 2*q + 46 = 0. Let o be (-2 + 132/k)/((-4)/(-6)). Let v = o - 11. What is the smallest common multiple of 8 and v?
8
What is the least common multiple of (-7464900)/(-1550) - (-12)/(-186) and 3010?
24080
Let q(u) = u**2 - 19*u + 95. Let j be q(-22). Find the common denominator of 45/14 and j/(-3612) + 96/336.
3612
Let x = 1755 - 63181/36. What is the common denominator of x and ((-327)/(-2))/(60/2)?
180
Suppose 4*q - 22 = 3*f + 8*q, -4*q + 34 = -f. Let k = f + 17. Suppose -z - 3*z + 12 = 0. Calculate the least common multiple of z and k.
3
Let m be 1 + -6*1 - (-8 - -1). Suppose -85 = -4*v - j, 4*j = m*j - 6. Calculate the least common multiple of 33 and v.
66
Suppose 0 = h + 2*p + 77, 0 = 3*h + 2*h + 2*p + 377. Calculate the common denominator of 75/44 and (-15)/2*27/h.
220
Calculate the common denominator of ((-497)/42 - -12) + (556/480 - 1) and -91/50.
200
Let x be (-80 + -1)/(-3)*28. Suppose 6*q = -3*q + x. What is the least common multiple of 6 and q?
84
Let s(q) = -q**2 - 12*q + 16. Let g be s(-13). Suppose 0 = g*z - 5*o - 11, 5*z + 2*o + 5 = -18. Find the common denominator of (-202)/96 - z/6 and -69/10.
240
Find the common denominator of (-50)/100*(-139)/(-45) and 77/180.
180
Let n(m) = 9*m**2 - 4*m + 5. Let j(z) = 2*z**2 - 22*z + 2. Let f be j(11). Calculate the smallest common multiple of 33 and n(f).
33
Suppose -2*l = -l - 526. Let s be 48/(-72) + l/6. Let h = s + -86. What is the least common multiple of 6 and h?
6
Suppose 3*x = 3*m - 738, -m - 968 = -5*m - 4*x. Suppose -m*s + 242*s = -50. Calculate the least common multiple of 30 and s.
150
Suppose 2*o = 21 + 15. Suppose -14*k = -13*k - 121. Suppose 39 = 10*a - k. Calculate the smallest common multiple of a and o.
144
Let r(z) = -z**3 - z**2 + 61*z + 40. Calculate the lowest common multipl