
Suppose -a - 4 = -3*c - 10, 0 = 4*c - 4. Let x(l) = 4*l**2 - 36*l + 20. What is the least common multiple of 192 and x(a)?
960
Find the common denominator of 1/14 and (-1)/2*((-10)/(-25) + (-729)/1835).
5138
Let q(i) be the third derivative of i**4/6 - 83*i**3/6 + 25*i**2. Calculate the lowest common multiple of 70 and q(40).
770
Let n be (-8)/20*-15*15. What is the least common multiple of -3*(8/36 - 290/n) and 0/(-3) - (0 + -24)?
72
Let z = -160 - -70. Suppose -594 = 3*h + 8*h. Let k = h - z. Calculate the least common multiple of 9 and k.
36
Let a = -717989/6414120 + -7/71268. Find the common denominator of 41/3348 and a.
33480
Let n = -7324 - -8804. Calculate the lowest common multiple of 5 and n.
1480
Suppose 5*y - 70 = q + 35, -3*y = 5*q - 35. Suppose 17 - 21 = a. What is the least common multiple of y and -144*(3 + -1)*1/a?
360
Let d = -3509/959 - -12/137. Let c = -1/2142 - -19816/5355. Calculate the common denominator of c and d.
70
Let c = -4706 + 155275/33. Let o = -8497 + 815741/96. Find the common denominator of o and c.
1056
Let i = -1/18355 - -1633607/220260. What is the common denominator of 1/(-2) + 76/(-6) and i?
12
Suppose -62*q + 6580 = -4034 + 198. Calculate the smallest common multiple of 1120 and q.
3360
Let z(a) be the second derivative of a**4/12 - a**3 + 3*a**2/2 - 2*a. Suppose -16*v + 11*v + 35 = 0. Calculate the smallest common multiple of z(v) and 24.
120
Let a = -53 - -76. Let f(s) = 4 + 3*s + 24*s**2 + 0 - a*s**2. Calculate the smallest common multiple of f(4) and 18.
288
Let d be 48/(-24) - (-1)/(3894/12236). Let n = d - 96/59. What is the common denominator of n and 7/12?
132
Let i = -2/361 + -27765/5776. What is the common denominator of 7/832 and i?
832
Calculate the common denominator of 43/616 and 62819/(-1792) - -17 - -18.
19712
Let i(s) = 3*s**2 - 46*s + 433. Calculate the smallest common multiple of i(15) and 2.
418
Let k = 16 + 2. Let y(t) be the third derivative of t**5/30 + 5*t**4/3 - 40*t**3/3 - 2*t**2 + 77*t. Calculate the least common multiple of k and y(2).
72
Let r = -19680185/153331236 - 1/587476. What is the common denominator of r and 127/60?
5220
Let j be (166/3)/((-30)/45). Let a = j - -86. Let v(p) = -p**2 + 6*p - 3. Calculate the least common multiple of a and v(3).
6
Let x(j) = j**3 - 71*j**2 - 77*j + 369. What is the smallest common multiple of 267 and x(72)?
801
Suppose -18*i + 326 = -17*i - u, 658 = 2*i - 3*u. What is the smallest common multiple of 10 and i?
320
What is the common denominator of 3/((1/(1 - 3))/(190/342)) and 13/3?
3
Let d(y) = -16 - y**2 + y + 0*y**2 + 4 + 9*y. Suppose -4*u + 3*u - 4*x = -18, -3*u + 75 = 5*x. What is the smallest common multiple of u and d(6)?
60
Let v = 73 + -94. Calculate the common denominator of (-6)/v + (-4433)/(-728) and 115/154.
616
Calculate the common denominator of 17/(5*(-5 - -3)) and -71/1888.
9440
Suppose -9 = 5*q - 4*q - 4*y, -4*q + 59 = 3*y. Suppose -q*d + 2 = -10*d. What is the lowest common multiple of d and 74?
74
Let a(c) = 35*c + 10. Suppose 3*p = m - 2*m + 96, -p = -7*m - 32. Calculate the smallest common multiple of p and a(2).
160
Let o be (4490/8)/((-27)/(-12)). Let u = o + -249. What is the common denominator of 54/(-12)*(-9)/4 and u?
72
Let d(p) = 3*p**2 + 5*p - 23. Let w be d(4). Suppose -x - 28 - 27 = -4*a, 2*x + 4*a + 86 = 0. Calculate the common denominator of x and (-2 - (-11)/4)*(-468)/w.
5
Let x = 217 + -213. Suppose 4*a - j - 25 = 0, -a + x*a = 4*j + 22. What is the least common multiple of 600 and a?
600
Let s = 14343/598 - 947/39. Find the common denominator of s and 59/7.
966
Let l(p) = p**3 + 25*p**2 + 18*p + 8. Let t be l(-24). What is the least common multiple of 11*(1/8 + 133/t) and 2?
22
Let d(s) = 7*s**3 - 77*s**2 + 25*s - 33. What is the smallest common multiple of d(11) and 1287?
28314
Suppose -3*t + 260 = -5*m, m = 3*t - m - 275. What is the lowest common multiple of 1824 and t?
9120
Let p be 1*(-13)/((-91)/(-21)). Suppose -2*i - 67 = -5*l, -i + 2*l = -0*i + 32. Calculate the least common multiple of (39/i)/(p/14) and 7.
7
Let b = 10202/69 + -11120479/75210. What is the common denominator of -71/14 and b?
22890
Find the common denominator of (-614358)/6175200 - (-2)/50 and 71/16.
1328
Let u(i) = -12*i**2 - 458*i + 72. What is the lowest common multiple of 65 and u(-37)?
7670
Suppose 46*u = -4*l + 674, -3*l + 70*u = 69*u - 115. Let i(y) = -y**3 + 4*y**2 + 4*y + 7. What is the least common multiple of i(5) and l?
42
Let h = -266645/78 - -3418. What is the common denominator of (162/14)/(39/36*18) and h?
546
Let l = 4305/10723 + 47150627/20749005. Let b = l + -207/215. What is the common denominator of (16/10)/4 - 4004/(-2940) and b?
315
Let w be (9813/1638 + -6)*244/(-32). Let u = w + -2/273. Let y = -647 + 5191/8. What is the common denominator of y and u?
16
Find the common denominator of 2/22*1825/146 and 27/2062.
22682
Let t(o) = o**2 + 7*o - 7. Let n be t(-9). Let r(p) = -11*p + 206. Calculate the least common multiple of r(n) and 3.
255
Suppose 2*l - 6 = 0, 4*l = 3*q + 296 - 305. Let p = -103 - -201. What is the lowest common multiple of q and p?
98
Let r be 12 - 16 - 10769438/132. Let g = r - -81589. What is the common denominator of 1/7 and g?
462
Let l = 30 + -30. Let t = -1 + l. What is the smallest common multiple of ((1*t)/(10/(-90)))/1 and 15?
45
Let d(x) = -14*x - 24. Let y(i) = -i**3 - 19*i**2 + i + 15. Let n be y(-19). What is the lowest common multiple of 28 and d(n)?
224
Let c(w) = -w**2 - 6*w + 89. Let f be c(7). What is the lowest common multiple of 17 and f + 1 + 28 + -23?
68
Suppose 0 = -5*s + 3*s - 12. Let p be (824/(-6))/4 + 4/s. Calculate the common denominator of 77/30 and 3/(-3) + -2 + p/(-90).
90
Suppose -6*r - 9*r - 2040 = 0. Let x = -103 - r. What is the smallest common multiple of x and 75?
825
Suppose -9*w + 126 - 18 = 0. Suppose 15*r - 39 = w*r. What is the smallest common multiple of 3 and r?
39
Calculate the common denominator of (302/(-15))/(176/55) and 6/(-11) - 13144/12243.
168
Let q = -2889 - 6875. Let k = q - -322279/33. Calculate the common denominator of k and ((-2)/(-54))/((-3)/(-147)).
297
Suppose 0 = 5*i + 15, -4*b + 18 = 3*i - 9. What is the smallest common multiple of 297 and b?
297
Let a(k) = -26*k**2 - 3*k - 1. Let w be a(-7). Let v be (-387)/w + 2/(-4). Let m = v - 5919/2926. Calculate the common denominator of m and -9/8.
56
Suppose -2*k + 44 = 4*s, 54 = 8*k - 6*k + 2*s. Calculate the lowest common multiple of 16 and k.
32
Calculate the common denominator of (17100/10640)/(2/(-4)) and 843/(-1840) - (-2)/10.
2576
Let f(j) = j**3 - 5*j**2 + 2*j - 8. Let l(d) = -d**3 - 18*d**2 + 43*d + 65. Let q be l(-20). What is the smallest common multiple of f(q) and 10?
10
Let v = 35199 + -31467889/894. What is the common denominator of -31/3129 and v?
6258
What is the smallest common multiple of 5 + -2*(5 + -2) - -58 and 27?
513
Let q = 32417 + -30092. Calculate the least common multiple of 1240 and q.
18600
Suppose -11*a - 30837 = -7198. Let j = 309 + a. Let s = j - -18497/10. Find the common denominator of s and 109/14.
70
Suppose 85*u + 1556 = 2066. Let m = -10 - -14. Suppose -o = m*o - 45. What is the least common multiple of u and o?
18
Let b be 8/(-24) - 21901/(-3). Let j = 350327/48 - b. Calculate the common denominator of -101/36 and j.
144
Let x = -37 - -1. Let s = 37 + x. Calculate the least common multiple of 18 and 24 - s - (4 - (-5 + 8)).
198
Let t = -91435 + 95823827/1048. Find the common denominator of 25/262 and t.
1048
Let i = 274532/43 + -6384. Let h be (-2)/(-1) + (-909)/172. Let c = h - i. Calculate the common denominator of 31/10 and c.
20
Suppose -48*q + 4560 = 5*d - 52*q, -d + 912 = -2*q. Calculate the least common multiple of 24 and d.
912
Suppose 62 - 62 = -3*d. Suppose d = 5*k + 52 - 137. Let m(t) = t**2 - t + 4. What is the least common multiple of k and m(3)?
170
Let q(f) = -16 + 4 - f + 5*f + 6*f**2. Let n be (0 - -2)*(0 + -2) - (22 - 28). What is the smallest common multiple of q(n) and 22?
220
Let g = -143413019/56 + 2551197. Suppose 116*l - 114*l - 12 = 0, 2*l + 38980 = -4*a. Let h = a - g. Find the common denominator of h and 55/2.
56
Let a be ((-9)/6)/(12/(-8))*698249. Let g = -343538375/492 + a. Calculate the common denominator of -