9*d/8 and -32/3.
3
Let b = -311 + 313. What is the lowest common multiple of b and 306?
306
What is the common denominator of ((-549)/(-4))/9 + -3 and 42/31?
124
Suppose 5*l + j + 85 = 0, -3*l - j - 39 = 2*j. What is the lowest common multiple of (6/10)/(l/(-360)) and 2?
12
Let i = 6731/6138 + -14/341. Let n = 218 + -2611/12. Find the common denominator of n and i.
36
Let h = -21 + 57. Calculate the smallest common multiple of h and 28.
252
What is the common denominator of 3 - 7/(112/444) and -53/18?
36
Let t = -797/38 + -390/19. What is the common denominator of -81/8 and t?
8
Let s = 110387/1425 + -1966/25. What is the common denominator of -47/75 and s?
1425
Let g(a) = -5*a + 30. Let f be g(0). Suppose -8 = 2*r + 2*o + 3*o, -3*r + 3*o = -f. What is the smallest common multiple of ((-8)/6 + 1)*-9 and r?
6
Suppose 5*x - m - 32 = 0, 13 + 7 = 2*x - 4*m. What is the least common multiple of 14 and x?
42
Let v(k) = k**3 + 17*k**2 - 305*k + 95. Let s be 58/(-10) + (-3)/15. Let o = -2 - s. What is the lowest common multiple of v(-28) and o?
44
Suppose 17*w - 141 + 5 = 0. Calculate the lowest common multiple of w and 72.
72
Let a = 13824 - 787933/57. Let g = 297/2 - 2603/18. Find the common denominator of g and a.
171
Suppose -3*i - 2*g = -66, i + 5*g + 111 = 5*i. Let r be 6/9 + 124186/i. Let f = r - 5169. Find the common denominator of 99/10 and f.
60
Let z = -10621 + 265474/25. Calculate the common denominator of 14/135 and z.
675
Let z(x) = 2*x**2. Suppose 5*b + 4*r = -15, -2*b - 3 = -b + r. Calculate the lowest common multiple of z(b) and 11.
198
Let w = -67055/12 - -5598. Find the common denominator of w and -11/68.
204
Find the common denominator of (2 - (-338)/(-264))*(-42)/15 and 31/8.
264
Suppose -3*s + 27 = -3*y, -s - 5 - 4 = 5*y. Let j(z) = z**2 - 5*z - 2. Let r be j(s). Let o = 10 - r. What is the smallest common multiple of o and 9?
18
Suppose 12*r = 9*r + 40941. Let z = r + -218271/16. Calculate the common denominator of z and 167/30.
240
Let z(c) = -c**3 - 12*c**2 + 2*c + 47. Calculate the smallest common multiple of z(-12) and 1.
23
Let w = 144/287 - 11281/50512. What is the common denominator of w and -5/44?
176
Suppose -6595 = -45*x - 2095. What is the smallest common multiple of 50 and x?
100
Let o be (-7)/((-3150)/385885) + (-2)/9. Let c = -846 + o. Find the common denominator of c and 43/13.
130
Suppose z + 7 = m - 6, 3*m + 3*z = 51. What is the common denominator of (-8)/m*(-50)/(-60) and -1 + 2*(-27)/(-10)?
45
Let z = 15 + -23. What is the common denominator of 4/z*(-2 + -91) and -50/9?
18
Let n(t) = -t**2 - 7*t - 3. Let b be n(-4). Suppose -4*z = 91 - 99. Let p = b + z. Calculate the smallest common multiple of 6 and p.
66
Suppose -t = 11 - 37. Suppose -32 = -b - t. Suppose 3*y - 15 - 21 = 0. Calculate the smallest common multiple of b and y.
12
Let t(y) = -3*y + 66. Let p(l) = -2*l + 44. Let c(q) = 8*p(q) - 5*t(q). What is the lowest common multiple of c(0) and 12?
132
What is the least common multiple of 114 and 787/6 + (-215)/(-258)?
2508
Let k = 20 + -8. Let n = -21 + 25. Suppose 0 = -n*m + 23 + 1. Calculate the lowest common multiple of k and m.
12
Let f(i) = i**2 - 6*i + 17. Let o be f(8). Calculate the common denominator of (-2 - -3)*o/60 and -95/6.
60
Let j(q) = 336*q**2 + 2*q - 2. Let s be j(1). Find the common denominator of ((-1)/1 - 6)*-5 and 1099/s - 1/3.
16
Calculate the lowest common multiple of -4 + (-12)/(-18)*4986/12 and 2.
546
Suppose 0 = -2*g - 10, 4*g - 9 + 30 = m. Find the common denominator of (m/(-4))/(20/770) and -71/9.
72
Find the common denominator of 7/8 and (4/(-80))/(32/3560).
16
Let h(y) = -y**3 + 15*y**2 - 15*y + 14. Let j be h(14). Suppose 2*b - 6 - 16 = j. What is the lowest common multiple of 16 and b?
176
Let r be 9578/3*(-3)/(-2). Let m = r + -52627/11. Calculate the common denominator of 42/37 and m.
407
Let b = -2398466839/26 - -92267281. Let k = b - 18560. Calculate the common denominator of k and 81/8.
104
Let x = 231388/49 + -6881123/980. Let n = x + 2297. Calculate the common denominator of n and -41/2.
20
Let c be 108/5 - 4/(-10). Suppose -24 = -93*a + 87*a. Suppose 0 = 2*i - a*r - c - 6, -2*i = -2*r - 24. What is the smallest common multiple of 18 and i?
90
Suppose -16 = -y + 4. Suppose -2*l + 2 = -4. Suppose 5*h - l*h = 44. Calculate the lowest common multiple of h and y.
220
Let g = 58140533/20 - 2906305. Let p = 2915/4 - g. Calculate the common denominator of (-2)/5 - (-4953)/(-3380) and p.
260
Let v(n) = -54*n. Let j be v(-1). Let m = 60 - j. Calculate the smallest common multiple of (-2)/(-4)*2*4 and m.
12
Let w be 30/(-10)*(-17975)/8. Let y = -6753 + w. Find the common denominator of y and 3/8.
8
Let c = -614 - -621. Let v(f) = f**2 - f. Let j be v(1). Suppose -4*o + 0*o + g = -14, 3*o - g - 10 = j. What is the least common multiple of c and o?
28
Let k = -17034 + 613351/36. What is the common denominator of (54967/(-462))/19 + (-12)/(-28) and k?
36
Suppose -148 - 428 = -8*k. Calculate the smallest common multiple of k and 32.
288
Let k = 970 + -17531/18. Let x = 2/167 + -12219/2338. Calculate the common denominator of x and k.
126
Suppose -31*z + 34*z = 414. What is the common denominator of ((24/z)/2)/((-4)/30) and -49/9?
207
Let t(n) = n**3 + 10*n**2 + 9*n + 20. What is the lowest common multiple of 12 and t(-9)?
60
Let u = -83751 + 336903/4. Let f = u + -497. Calculate the common denominator of f and 25/6.
12
Suppose 0 = -2*f - 4*a + 592, 9*f = 12*f - 5*a - 855. Calculate the least common multiple of 8 and f.
1160
Let j = 18 + -22. Let n = -4 - j. Calculate the common denominator of n + 10/(-4) - -2 and -51/11.
22
Suppose -3*m + 39 = -4*j - 32, -5*j + 4*m - 90 = 0. Find the common denominator of 13/20 and (-243)/288*j/3.
80
Let c = 16 + 2. Let g(k) = -7*k + 4. Let a(h) = 15*h - 8. Let z(p) = -3*a(p) - 7*g(p). What is the smallest common multiple of z(3) and c?
72
Suppose -540 = -43*i + 34*i. Calculate the lowest common multiple of 27 and i.
540
Let x = 2504/531 + -16/59. Let h = -3526064 + 162206065/46. Let n = h + -311/2. Calculate the common denominator of x and n.
207
What is the common denominator of 87/368 and 9/21 - 19228/(-1848)?
1104
What is the common denominator of -37/43 and (-3)/215*(-152)/24?
215
Suppose -2 = -2*u + u. Suppose w - 51 = -5*b, -90 = -2*w + u*b - 0*b. What is the smallest common multiple of 4/(-6) + w/6 and 10?
70
Let m be (-3)/(-15) + 147154/(-7620). Let d = m + -7/127. Let g = -46 + 25. What is the common denominator of g and d?
6
Calculate the lowest common multiple of (6 - 8/(-6))*(-9)/(-6) and 64.
704
Let r(k) = k**2 + 5*k + 4. Let u be r(-4). Let h = -59641/3441 + -1/1147. Calculate the common denominator of (-214)/(-16) + (u - 1) and h.
24
Let a = 53 - 21. Let u = 286097/22 - 13007. What is the common denominator of (-370)/a*(-2)/10 and u?
176
Suppose 5*m - 262 + 212 = 0. What is the least common multiple of m and 175?
350
Let t be -1 + 2 - 0 - 3440. Let a = -12534 - -95705/6. Let b = t + a. Calculate the common denominator of -81/10 and b.
30
Suppose -10 = -2*q - 4. Suppose 3*g + q = -3. What is the least common multiple of 20 and 1/(g/1)*-12?
60
Find the common denominator of 59/2 and ((-260)/(-320))/(10/72).
20
Let n = -2681976503/10137 - -264573. Let z = 293957/81096 - n. Let c = -376/7 + 57. What is the common denominator of c and z?
56
Suppose g = 3*l - 4, -2*l = l - 2*g - 2. What is the lowest common multiple of l and 32/12*(-9)/(-6)?
4
Let b = 1009/2 + -494. Find the common denominator of -77/30 and b.
30
What is the common denominator of (-4*(-213)/96 + 0)*-4 and 33/62?
62
Let i = -9336803/164 - -56932. Let r be -3 - 10*(-2569)/984. Let p = i - r. Calculate the common denominator of p and -97/20.
60
Let s(q) = -16*q - 679. Let l(j) = -j**3 + 9*j**2 + 10*j + 3. Calculate the lowest common multiple of s(-43) and l(10).
9
Let m = 59/474 - 32137/67782. Find the common denominator of m and 18/55.
715
Let p = 516649/51 - 10129. Calculate the common denominator of p and 26/11.
561
What is the lowest common multiple of 24 and ((-12)/9)/(6*(-2)/162)?
72
Let q(w) = w**3 - 2*w**2 + 1. What is the common denominator of (18/63)/(12/(-2121)) and q(2)?
2
Let j = 193 - 399/2. Suppose -21 = g + 3. Calculate the common denominator of g and j