 and 439/(-40) + (-10)/25.
24
Calculate the lowest common multiple of 150 and (-15)/(-6)*(-416)/(-65).
1200
Let n(c) = c**2 - 2*c - 3. Let a be n(-2). Suppose 5*v = a*u - 65, -2*u + 0*v - 3*v + 41 = 0. Calculate the least common multiple of u and 14.
112
Find the common denominator of (994/(-308))/(2 - 0/3) and 73/10.
220
Suppose 0 = -3*q - 4*g - 176, -5*g + 202 = -4*q - 43. What is the lowest common multiple of 10 and -25*(q/(-25) + -3)?
30
Calculate the least common multiple of (16/10)/((-12)/(-30)) and 22.
44
Suppose -2*y - 6 = -5*b - 44, 0 = -5*y + 5*b + 80. Let d be (-147)/(-9) + (-4)/(-6). Suppose d - 45 = -a. What is the least common multiple of a and y?
28
Let l = 1451 - 4291/3. What is the common denominator of l and (123/(-99))/((1 + 1)/(-2))?
33
Calculate the common denominator of 5/18 and (-17575)/(-421134) - 6/63.
4878
Let s = 65726/7 - 389047/35. Let y = 138541/80 + s. Calculate the common denominator of y and ((-166)/(-12))/(-1) + (21 - 24).
48
Let r(o) = o**3 - o**2 - 3*o + 21. Suppose -2*j = 2*m + m + 3, 0 = -3*j + 2*m + 28. Calculate the least common multiple of j and r(0).
42
Let m(n) = -6*n + 36. Calculate the lowest common multiple of 40 and m(0).
360
Let v = -142 - -146. Suppose 417 = 5*w - 5*i + 132, -v*w - i = -233. Calculate the lowest common multiple of w and 20.
580
Let n = -19674 + 1062449/54. Find the common denominator of -32/9 and n.
54
Let x be (-69)/1 + (15/(-3) - -8). Calculate the common denominator of -133/30 and 34/x - 1/3.
330
What is the common denominator of (1/(-12))/(3/(-298)) and -5/116?
1044
Suppose 12 = -4*c + 5*z, 3*c = 3*z - 7 + 1. What is the lowest common multiple of 10 and c?
10
Suppose -10*y + 693 + 407 = 0. Calculate the smallest common multiple of 30 and y.
330
Let o(r) = -r**2 - 32*r - 171. What is the smallest common multiple of 15 and o(-8)?
105
Let d = 2134 + -2050. Calculate the lowest common multiple of 18 and d.
252
Find the common denominator of -67/8 and (-15 - (-23 + 11)) + 93/58.
232
Suppose 87*r - 86*r - 31 = 2*o, 4*o = 4. Calculate the lowest common multiple of 9 and r.
99
Find the common denominator of (1 - (-1274)/324) + -6 + 1 and 13/36.
324
Let a = -7/113 - 3469/2373. What is the common denominator of a and 11/7?
21
Let f(m) = 6*m**2 - 53*m - 334. Calculate the least common multiple of f(-6) and 80.
400
Suppose -57*a + 60*a = 81. Calculate the least common multiple of a and 36.
108
Suppose 3*g - u - 69 = 0, -5*g + 159 = -2*u + 45. What is the lowest common multiple of 72 and g?
72
Find the common denominator of -24/5 and 10 - 649/99 - 1*2.
45
Let n(u) = -28*u + 10. What is the least common multiple of n(-1) and 2?
38
Let f = -433/278 + 28592/13761. Calculate the common denominator of f and -21/44.
396
Let k = 20930157/10 - 2097812. Let r = 4786 + k. Calculate the common denominator of 149/6 and r.
30
Suppose 5*a - 19*c = -24*c + 100, 0 = 5*a + c - 92. What is the smallest common multiple of 54 and a?
54
Let q be (5 - 7)*2/(-2). Let j(p) = -2*p + p**q + 7*p + 3*p**2 - 5*p**2 + 2. Calculate the lowest common multiple of j(5) and 8.
8
Suppose 650 = 4*q + 562. Calculate the smallest common multiple of 11 and q.
22
Let d(k) = -11*k**2 + 3*k - 2. Let p be d(1). Let q = p + 17. Suppose 6*l + 10 = q*l. What is the smallest common multiple of l and 8?
40
Let m be (-9 + -3)*(-145)/2. Let t = 6138/7 - m. Let z = 713/18 - 100/9. Find the common denominator of t and z.
14
Let k be -22*(-4 + 1 + 2). Suppose 0 = -9*t + 11*t - k. Suppose 0 = -3*y + 5*d + t + 2, 4*y - d = 23. Calculate the least common multiple of y and 6.
6
Let r be (-431945)/(-665)*166/276. Let z = 3/6118 + r. Let y = z - 394. Find the common denominator of y and 52/17.
51
Let c(w) = 2*w**2 + 12*w - 24. What is the smallest common multiple of c(-9) and 60?
60
Suppose 7*a + 4 = 25. Suppose -2*b + a*n + 57 = 4, 2*b - 59 = 5*n. Let j(p) = 6*p + 2. Calculate the lowest common multiple of b and j(2).
154
Suppose 0 = -4*r - 2*f + 88, r + 4*f = -0*f + 29. Let w = -13 + r. What is the lowest common multiple of 1/(1 - w/12) and 5?
15
Let d(c) = -c**3 + 4*c**2 + 4*c - 10. Let q(r) = 16*r**2 - 2*r. What is the smallest common multiple of d(2) and q(-1)?
18
Let p = -14016 + 378491/27. Find the common denominator of -22/3 and p.
27
Let i = -9495/4676 + -6/1169. Calculate the common denominator of -45/112 and i.
112
Suppose -y - 5*m + 107 = 0, -28*y + 343 = -24*y + 3*m. Calculate the lowest common multiple of 8 and y.
328
Suppose 3*s = -4*l - 2 + 6, 0 = -4*l + 2*s + 4. What is the smallest common multiple of 17 + ((-4)/1)/l and 11?
143
Suppose 251 = 9*a + 71. Calculate the least common multiple of a and 94.
940
Let q = -24143 + 13230323/548. Find the common denominator of q and 13/14.
3836
Let f(y) = y**2 + 9*y + 24. Let v be f(-7). Suppose 6*o - 11*o = -v. Suppose 28 = x + o*s, 10 + 2 = 3*s. What is the least common multiple of x and 10?
20
Let d(y) = -159*y - 3. Let p be d(3). Find the common denominator of 4/(-5) - 174/p and -85/26.
208
Let x be 6/39 + 1/(52/(-60)). Calculate the common denominator of 4/5 and x/(-3) - 1212/288.
40
Suppose 4 = -5*z + 39. Let p(k) = -k**2 + 12*k + 8. Let l be p(z). Let o = l - 27. What is the lowest common multiple of o and 8?
16
Suppose -76 = -280*h + 276*h. Let j = -180921/10 + 18111. Let b = h - j. Calculate the common denominator of b and 33/14.
70
Let w be -186821*(-3)/84 + (-5)/20. Let a = 6676 - w. What is the common denominator of -133/12 and a?
84
Let t(j) = 6*j + 42. Calculate the smallest common multiple of 172 and t(-4).
1548
Let i = -19 - -41. Let p(x) = 23*x**3 - 2*x**2 + 1. Let q be (3 + 1 - 3)*1. Calculate the least common multiple of i and p(q).
22
Suppose 170 = 4*n + 42. Let u = 55 - 46. Suppose -108 - 90 = -u*w. Calculate the lowest common multiple of n and w.
352
Let f = -329/156 + 40/39. Find the common denominator of -55/96 and f.
96
Let u(o) = -7*o + 22. Let f be u(12). Let m = -44 - f. Calculate the least common multiple of m and 38.
342
Find the common denominator of -59/30 and 2/(-12) + (-176)/(-21).
210
What is the lowest common multiple of 1*(-7)/((-21)/657) and 27?
1971
Let t be 1654/(-6) + (-4)/12. Let o = t + 1159/4. Calculate the common denominator of 69/62 and o.
124
Let k = -138 - -218. Calculate the lowest common multiple of k and 110.
880
Suppose 7*k + 4 = 6*k. What is the smallest common multiple of (8/(-3))/(k/24) and 4?
16
Let o(s) = s**2 - 5*s + 24. Let c(t) = -2*t**2 + 6*t - 25. Let y(a) = -2*c(a) - 3*o(a). Calculate the smallest common multiple of y(-8) and 18.
18
Let s(l) = -3*l**3 + 153*l**2 + 24*l - 128. Calculate the least common multiple of 18 and s(51).
9864
Let u(i) = 2*i**2 - 4. Let w be u(3). Suppose 0 = 10*g - w*g + 88. Suppose -4*c - 6 = -g. Calculate the least common multiple of c and 1.
4
Let v = -8768/5 - -104491/60. Find the common denominator of -71*2/8 + 7 and v.
12
Suppose -j = j + 8, 5*j = -5*m. What is the smallest common multiple of 8 and ((-10)/(-15))/(m/42)?
56
Let p = 16 + 20. Calculate the smallest common multiple of 60 and p.
180
Suppose -4*z = -8, -2*s + 2*z = -5 + 3. Suppose -s = 3*a + 3*t, 3*a + 30 + 3 = 3*t. What is the smallest common multiple of ((-3)/a)/((-2)/(-88)) and 4?
44
What is the common denominator of 86/(-4644)*(-59)/(-2) and 31/348?
3132
Let f(h) be the second derivative of -h**5/20 - h**3/6 - h**2 + 2*h. Let r be f(0). What is the common denominator of 2/4*(-12)/r and 41/10?
10
Let f be (22/4)/(2/4). Let b = f + -9. Suppose -b*d + 14 + 22 = 0. Calculate the lowest common multiple of 8 and d.
72
Find the common denominator of (1 - 154/24) + (8 - 12) and -49/64.
192
Let z = 236723/48 + -4932. What is the common denominator of 85/18 and z?
144
Suppose -2*y + y - 12 = 0. Let v = -10 - y. Find the common denominator of (-654)/(-15) + v/5 and 49/10.
10
Suppose 31 = -r + 36. Calculate the lowest common multiple of (3/r)/((-60)/(-200)) and 1/((4 + -2)/22).
22
Let f be 2/(4 + 726/(-182)). What is the common denominator of -91/8 and 8/(-60) - f/(-240)?
8
Let b(a) = 5*a - 4. What is the smallest common multiple of (4/5)/((-3)/(-45)) and b(4)?
48
What is the common denominator of 1378/(-632) - (0 + -2) and (0 - (-36)/(-40)) + 6/15?
316
Let l be 2/(-5) + (-3303843)/(-2520). Let n = l + -9204/7. Calculate the common denominato