0. Suppose 109 = 2*d - f. Calculate the least common multiple of 18 and d.
684
Let j = -18622 + 31594. What is the least common multiple of 40 and j?
129720
Let b be 4/(0 - 2) - (5 + 45). Let j = b + 68. What is the lowest common multiple of j and 2?
16
Let c = 50 + -52. Let v be (c + 0)*-111*4/(-6). Find the common denominator of -85/22 and v/(-72) + 3 - 0.
198
Let z = -516 + 495. What is the least common multiple of 6 and (z/(-1))/(11 + -10)?
42
Let q = 4347/208 - 240/13. Let p = -143 + 141. Find the common denominator of q and (-5)/(-20)*(p + 82/4).
16
Suppose 0 = 5*v + 3*d - 55, -4*v - 3*d = 1 - 45. Let k(y) = 16*y**3 + 21 - v - 11. What is the lowest common multiple of k(1) and 27?
135
Suppose w = -2*w - 3*o + 9, 3*w - 7 = -2*o. Let v be ((-10)/(-6))/(2/6) - w. Calculate the common denominator of -97/6 and (-267)/24*(-2)/v.
48
Let p(g) = 7*g**2 + 4*g + 3. Let z be p(-1). Suppose 90 = z*w + 30. Let h(j) = j**2 + 5*j - 4. What is the least common multiple of h(-6) and w?
10
What is the least common multiple of 14 - ((-66766)/14 - -9) and 6?
14322
Let y be 20667 + -4 + 4 - (-6 - -3). Let o = y - 413501/20. What is the common denominator of -6/85 and o?
340
Let u(o) = 3*o + 31. Let i be u(-9). Suppose -4*h + 5*q = 16, i*h + 3*q = 9*h + 7. Let b = -6 - -9. Calculate the least common multiple of h and b.
3
Let g = 64 + -61. Let p(s) = 17*s**2 - 113 + 2*s + 3*s**3 + 99 - 4*s**g. Calculate the smallest common multiple of p(17) and 8.
40
Calculate the lowest common multiple of -1344*25*(-24)/210 and 1920.
3840
Let i = 45629 + -8030743/176. Calculate the common denominator of 43/792 and i.
1584
Let r be (12 - (-1 + 3)) + -4. Calculate the common denominator of (-2 + (-100)/(-45))/(r/531) and (-6)/8 - (-429)/12.
3
Let s = -21820 - -872863/40. Calculate the common denominator of 19/845 and s.
6760
Let z = -12440 + 21684. Let u = -92319/10 + z. What is the common denominator of 52/7 and u?
70
Let r = -164130 - -164170. Let d(b) = 19*b - 3. What is the least common multiple of d(2) and r?
280
Let j be (2 - (-42)/(-12))/(3/(-4)). Let c be ((175/10)/7)/(j/(-52)). Find the common denominator of 13/64 and (-471)/c - (6 + 480/(-78)).
320
Suppose 0 = -3*f + 3*d + 9, -12 = 4*d - 0*d. Suppose f = 4*v - 16, 4*j + 3*v - 82 = 130. What is the least common multiple of 2 and j?
50
Let b = -79903781624880427/367076 + 217676398416. Let v = b - -33/2252. Calculate the common denominator of v and -35/3.
489
Let c be ((-1)/3)/(9/837). What is the common denominator of ((-14)/126)/(2/c) and 109/30?
90
What is the lowest common multiple of (5/(-35)*-7)/((-12)/(-36)) and 884?
2652
Let l = 0 + -1. Let c(q) be the first derivative of 5*q**3/3 - q - 5. What is the least common multiple of 8 and c(l)?
8
What is the common denominator of -67/72 and 189924/(-166320) + (-5)/(-4)?
3960
Let p = -29804 + 36848. Calculate the lowest common multiple of p and 20.
35220
Let z = 8866/11775 - -66/157. What is the common denominator of z and -56/185?
2775
Suppose k = -3, -g + 28 = -4*k - k. Suppose 3*f = l - 28, 21 = 2*l + f - 49. Suppose -l = -6*j + 2. What is the smallest common multiple of j and g?
78
Let j(n) = 2*n**2 + 34*n - 36. Calculate the lowest common multiple of 3 and j(-21).
132
Let b = -492 + 826. Suppose 2*w - b = -318. Calculate the least common multiple of 26 and w.
104
Let v be (-2 - (2 + -7))/(-1). Let j be ((-10)/v)/((-4)/36). What is the common denominator of 37/18 and (62/j - -2)*-4?
90
What is the common denominator of (-76)/(-90)*(-3 - 407/(-264)) and -59/3?
108
Suppose 4*m - 3 = -3. Suppose m*s + 108 = 6*s. What is the common denominator of 4/s*(-13 - -38) and 41?
9
Let u(n) = 50*n + 120. Let a be u(-18). Let v = -672 - a. Calculate the smallest common multiple of 72 and v.
216
Let j = 181 + -178. Suppose -129 = -j*d - 102. Calculate the least common multiple of 81 and d.
81
Let b = 1050 + -1000. Calculate the least common multiple of b and (30/(-4))/(18/(-36)).
150
Let g(s) = -s**3 + 2*s**2 + 3*s - 3. Let q be g(3). Find the common denominator of 47213/(-37944) - 36/102 and q - (69/14)/(-3).
504
Suppose -55*d + 840 = -48*d. What is the lowest common multiple of d and 60?
120
Let j be (-73)/3*9/(-3). Let q be (122/12)/(27/(-162)). Let o = q + j. What is the smallest common multiple of o and 12?
12
Let j = -4512 + 4515. Calculate the smallest common multiple of j and 3 - -2 - (1 - 2).
6
Let a = -1/206340 + -813853/9010180. Calculate the common denominator of 43/655 and a.
3930
Suppose 2*q + 28 = 5*l - 34, -3*q + 9 = l. Calculate the lowest common multiple of 1084 and l.
3252
Let y(p) = -2*p**2 + 6*p - 3. Let i be y(2). Let u(w) = 30*w**3 - 3*w**2 + w + 2. Calculate the least common multiple of u(i) and 2/(-2)*27*-1.
270
Let s = -409627241/3532 + 115976. Find the common denominator of s and -11/4.
3532
Let j = 325 - 231. Let d = -50 + j. Suppose 2*k - 3*w - 11 = 81, 0 = k - 2*w - d. What is the least common multiple of k and 10?
260
Let u(d) = 2*d**2 + 33*d + 49. Let s(m) = m - 9. Let t be s(-6). Calculate the smallest common multiple of u(t) and 1.
4
Let t = -221 + 221. Let f = t + 6. What is the lowest common multiple of 2 + 3 + 1 - 3 and f?
6
Let w(t) = -2*t**2 - 17*t**2 + 18*t**2 + 22*t + 3. What is the smallest common multiple of (-137 + -3)/(-5) + 2 and w(22)?
30
Let o(f) = 8 - 61*f**2 + 22*f**2 + 20*f**2 + 21*f**2 + 7*f. Calculate the least common multiple of o(-4) and (0 - (-27 - -1)) + 1.
108
Let y = 5771/3 - 1879. Suppose 2063 = -47*m - 428. Let l = y + m. What is the common denominator of 9/4 and l?
12
Calculate the lowest common multiple of 138 and (100/175)/((-6)/(-24633)).
2346
Let j = -35897/16822 - -12/647. Let o = 4904 - 53982/11. Calculate the common denominator of o and j.
286
Let y = 97 - 67. Suppose 15*a = -89 - 1. Calculate the common denominator of (-237)/y + 3 - a/(-2) and 97/22.
110
Let c = 238 + -26. Suppose -3*g + 91 = 2*f, -4*g - c = -f - 3*f. Let n = -43 + f. What is the lowest common multiple of n and 19?
133
Let v be ((-115)/(-25) + -7)*10/4. Find the common denominator of -12/13 and (77 + 14)*(-1)/v + -1.
78
Let t = -3 - -4. Let w be (-8308)/224 - t/(-2). Let o = -341/7 - w. What is the common denominator of -23/34 and o?
136
Suppose -28 = -i + 5*y, -3*i - 4 = -i + 2*y. Suppose 0 = -5*a - 15, 3*u + i*a + a = -657. Let f = -449/2 - u. Find the common denominator of f and 91/22.
22
Let t = -8805 + 8949. What is the least common multiple of 38 and t?
2736
Suppose 0 = 10*s - 4*j - 452, -j + 4*j = -3*s + 165. What is the smallest common multiple of 144 and s?
144
Let z = 15 + -12. Suppose -c + 15 = -5*w, 0*c + 2*c - 9 = z*w. Calculate the common denominator of (-75)/(-84) + 3/w and -143/12.
84
Calculate the common denominator of (6*(6 - (-261)/(-18)))/47 and -2/25.
1175
Calculate the lowest common multiple of 705 and 672/72*(-30)/(-8).
4935
Suppose 4*t - 1 + 5 = -r, -4*t - 36 = 3*r. Let o be ((-12)/r)/(4/176). Suppose 2*w + 15 = o. What is the lowest common multiple of w and 5?
45
Let k be (12 - -16)*(-2)/8. Calculate the lowest common multiple of 266 and 1/k - (7 - (-240)/(-14)).
1330
Suppose -3*u - 203 = g + 121, -4*u - g = 433. Let m = -103 - u. Let n(r) = 6*r**2 + 4*r + 2. Calculate the lowest common multiple of n(-2) and m.
18
Find the common denominator of -23/111 and 12/111*((-1 - 213/(-48)) + 3).
444
Calculate the common denominator of -47/17 and (16185/(-11050))/((-54)/(-5)).
612
Let p(t) = 3*t**3 + 7*t**2 - 18*t - 124. Let f be p(-5). Calculate the common denominator of ((-18)/4)/(3003/f) and -25/121.
847
Let w = -1885/6 - -6740/21. Let a = 60379/4 - 649082/43. Calculate the common denominator of a and w.
1204
Let d = -186095/12 - -15507. What is the common denominator of 127/110 and d?
660
Let n(v) = -5*v**2 - 7*v + 2. Let m(p) = 6*p**2 + 8*p - 2. Let r(s) = 4*m(s) + 3*n(s). Calculate the least common multiple of r(-2) and 36.
36
Let k = -120 - -268. Let j = k - 72. What is the lowest common multiple of j and 20?
380
Let l be 45*12/(-36)*(-1)/(-1). Calculate the common denominator of 67/(-20) + (-13 - l) and -5/404.
2020
Suppose -5*q - 31 = -2*q + 5*r, -5*q - 2*r - 58 = 0. Let y = -60 + q. Calculate the least common multiple of ((-54)/4)/(27/y) and 16.
144
Let y(k) = k - 18. Let x be y(17). Let i = x + 6. Suppose -q + 3*j = 