ate the smallest common multiple of h and g.
27
Let w = -4536/5015 - -9/2006. What is the common denominator of -3/766 and w?
3830
Let q be (92/(-10))/(52/(-130)). Let o(h) = 3*h**2 - 24*h - 127. Calculate the least common multiple of 10 and o(q).
4540
Let y = 39516 + -869457/22. What is the common denominator of y and -67/978?
10758
Suppose 4*o = -3*k + 2*o - 62, 4*o = 2*k + 68. Let n = k - -45. What is the lowest common multiple of 10/55 + 918/33 + 2 and n?
210
Let h = -2253 + 4049. What is the smallest common multiple of 18 and h?
16164
Let u = -10247 + 10254. Calculate the smallest common multiple of u and 186.
1302
Calculate the common denominator of (-5)/(10120/9097) - -5 and -1/2024.
2024
Let y = -4795/8 + 598. Let u = y - -9/4. Let l = 498 - 925/2. Calculate the common denominator of l and u.
8
Suppose -2*d + 2300 = -2*b, -26*b = -28*b - 6. What is the smallest common multiple of 1 and d?
1147
Calculate the lowest common multiple of 40 and 831 + (-36)/10*(-45)/(-27).
6600
Let l be -6 - 52/(-4) - 13. What is the least common multiple of 1 and l/(-9) + (-8110)/(-30)?
271
Find the common denominator of 11/15 and ((-9)/882)/(50/(-345)).
2940
Let h(l) = -20*l**3 + l. Let f be h(1). Calculate the least common multiple of 132 and 6 - (5 + 2) - f.
396
Let l be 42433/3 - 234/(-429). Let o = l - 14147. Find the common denominator of o and 52/27.
297
Suppose 4*f - 76 = -2*r, 3*r + 5*f - 64 = 52. Let c(m) = -6*m. Calculate the smallest common multiple of c(-7) and r.
42
Suppose 7*x = 2*x - 4*u + 992, -196 = -x - 2*u. Let f(c) = 4*c - 2. Let y be f(8). Calculate the common denominator of y/x*274/(-9) and 131/30.
30
Let h = -66 + 62. Find the common denominator of 6/h*(-134)/(-96) and 17/40.
160
Let g(n) be the first derivative of 3*n**2/2 + 24*n - 22. Let f be g(-11). What is the common denominator of 35/9 and (((-444)/32)/(-1))/(f/(-4))?
18
Let a be (-7)/(462/(-54)) + (-2)/3. Let o = -581/132 + a. Calculate the common denominator of o and 65/44.
44
Let t = 14811525/296 + -50039. Find the common denominator of (265/450*-3)/(6/15) and t.
888
Let r = 6 + -2. Suppose -409*j - 3*f - 18 = -412*j, 0 = -4*j + 3*f + 22. What is the lowest common multiple of j and r?
4
Suppose 19*d - 9*d - 528 = 7*d. What is the lowest common multiple of d and 616?
1232
Suppose 11571*t + 150 = 11581*t. Calculate the lowest common multiple of 447 and t.
2235
Let i = 72907153/542 - 134515. Calculate the common denominator of -113/18 and i.
4878
Let c be (-8)/(-28) - 138/(-7). Let y be ((-48)/(-56))/(6/672). What is the common denominator of -23/5 and c/(-26)*y/(-30)?
65
Suppose 610*z - 62 = 579*z. Suppose 5*v = -r + 3*r - 36, 0 = -5*v + 4*r - 42. Calculate the least common multiple of z and ((-2)/v)/((-1)/(-78)).
26
Let z be ((-51)/(-15) - 1)/(3/10365). Suppose -1824 = 3*f - z. Calculate the common denominator of -43/14 and 1/2 - f/112.
28
Suppose 21*y = 17*y + 4*v + 1656, -3*y + 5*v = -1230. What is the lowest common multiple of y and 1638?
16380
Let r(m) = m**2 - 13*m - 28. Let u(d) = -9*d - 264. Let v be u(-31). Calculate the smallest common multiple of r(v) and 62.
62
Let h be 1 - ((-451)/30 - 1). Let q be 6/(-18) - 2/(-10). Let f = q - h. Find the common denominator of f and 85/8.
24
Let m = -8300 + 8328. Calculate the smallest common multiple of m and 1176.
1176
Let t be 7 - (-296)/(-40) - (-1026)/(-10). Let v = -83 - t. What is the least common multiple of 6 and v?
60
Suppose -11 + 3 = -2*x - 2*z, 2*z - 13 = -3*x. Suppose 3*v + 0*l - 2*l = 48, 3*v - x*l = 39. What is the smallest common multiple of v and 198?
198
Let f(c) = 3*c - 83. Let d be f(31). Suppose 2*p = -s + 9, p - 27 = 5*s - d*s. What is the lowest common multiple of s and 5?
5
Suppose -18*h - 1159 + 115 = 0. Let x = 64 + h. Let w(s) = s**3 + 6*s**2 + 5*s. What is the least common multiple of w(-4) and x?
12
Let g(l) = 3*l**2 - 4*l - 2. Let z be g(6). Suppose 5*a + u = z, -u = -3*a - 5*u + 56. Calculate the smallest common multiple of 3/(-3) - (-52 + 1) and a.
400
Let i = -12653/3 + 1721111/408. What is the common denominator of i and -53/119?
952
Let q(n) = -67*n - 66*n + 197*n - 59*n + 105. Suppose -56 = -4*s + 4*i, -2*s = -3*i - 8 - 16. What is the lowest common multiple of s and q(-15)?
90
Calculate the lowest common multiple of (-2)/(-25) - (-11)/(1650/8388) and 235/(2 - -3) - 2/(-2).
336
Suppose -6 = x - 5*j + 40, -174 = 5*x + 3*j. Find the common denominator of 91/32 and -1 - (1635/x)/(-5).
96
Let w(h) = -h**3 - 3*h**2 - 7*h + 1. Let m be w(-3). What is the least common multiple of ((-22)/1)/((m/(-2))/11) and (-6)/(-15) - (-58)/5?
132
Let d = 21 - 26. Let i be (1 - (-10)/d)*1. What is the common denominator of 49/14 - (i + -1 - -2) and 11/48?
48
Let m = -20 + 38. Let a = m - 21. Let s = 16 + a. What is the common denominator of 88/15 and s?
15
Suppose -4*p + 1393 + 452 = -3*x, 4*p = -x + 1817. Calculate the least common multiple of p and 88.
5016
Calculate the lowest common multiple of 528 and 576/(-1)*(-159)/106.
9504
Let i(s) = -s**3 - 10*s**2 + 14*s + 37. Let z be i(-11). Suppose -8*q = -z*q - 24. Let k = q - -30. What is the lowest common multiple of 2 and k?
36
Let n = 31 + -31. What is the common denominator of 2678/(-91)*(-2)/8 and (n - -1) + (-471)/216?
504
Let z be 3/(66/70) + (-10)/55. Find the common denominator of -29/45 and (6/(-104))/(1743/616 - z).
585
What is the common denominator of 11/347 and (-2838)/(-616) + 15/4 + -3?
4858
Suppose 5*t = -0*f - f - 8, -5*t = 4*f + 17. Let m = -1/3132 + -3911/12528. Calculate the common denominator of m and (t + 3)/((-32)/(-130)).
16
Let m(h) = -1188*h - 678. Calculate the smallest common multiple of m(-1) and 33.
5610
What is the common denominator of -127/186 and 6987/(-1395) + 42/9?
930
Let r = -66 - -69. Suppose -38 = -2*i - 2*h, 15*i + 3*h = 18*i - 39. Calculate the smallest common multiple of i and (77 - (-4 - -2)) + r.
656
Let u(k) = 46*k - 948. What is the least common multiple of 545 and u(23)?
11990
Let s(c) = c**2 - 8*c + 9. Let l be s(6). Suppose -4*n - d = 194, 3*d = n - 3*n - 92. Calculate the least common multiple of 6 and (-4235)/n - l/(-7).
258
Calculate the common denominator of 43/253 and ((-3969)/(-6930))/((-12)/(-25)).
2024
Let q = -134 + 13. Let m = q - -121. Suppose 5*n - 4*n + 5*c + 4 = m, -5*n + 22 = 4*c. Calculate the least common multiple of 33 and n.
66
Suppose -3*l - l + 2*i = -20, -5*l + 3 = 3*i. Let j be 50/l*(-192)/(-80). Find the common denominator of 15/(-16)*(-48)/j and 37/2.
8
Suppose 0 = h - 6 - 5. Suppose h*v + 576 = 27*v. What is the common denominator of 109/18 and 122/60 + (-18)/v?
90
Let d be (13/(-273))/((-12)/(-231957) + 0). Let j(b) = -4*b**2 - 20*b + 14. Let y be j(13). Let z = y - d. Calculate the common denominator of 33/32 and z.
224
Suppose 324 = 12*j - 24*j. What is the least common multiple of (-167)/(-5) - 4/10 and j*(-2)/(2 + 0)?
297
Let w(f) = f**2 - 13*f + 21. Let u be w(2). Let t be (-1 + 265)*u/(-1). Find the common denominator of (-4)/3 + t/54 and 41.
9
Let z = 11/1725 + -79121/234600. What is the common denominator of z and -3/340?
680
Let z = 6 - -14. Suppose -j = 2*m - z, -55 = -4*j + m - 4*m. Calculate the least common multiple of j and 166.
830
Let u = 1042 + -70153/68. Let n = 217/51 - u. Find the common denominator of -111/20 and n.
60
Let u be ((-21)/63)/(-1 - (-11)/12). Suppose 4*w + 4*s - 184 = 0, -w + u*s + 7 = -49. Calculate the lowest common multiple of 21 and w.
336
Let c(i) = -5*i - 27*i - 77 - 5*i - 10*i - 3*i - 2*i**2. Calculate the lowest common multiple of c(-22) and 99.
495
Let a = 34043 - 1906509/56. Calculate the common denominator of -71/64 and a.
448
Let v be (-296)/111*6/(-4). What is the common denominator of 671/(-100) + -1 + v - -4 and 79/60?
300
What is the common denominator of 8/155 and (-681967)/7515640 - (-3 + (-85)/(-29))?
1240
Let w be ((-32520)/(-1))/(-4) + -3. Let z = w - -195259/24. Find the common denominator of z and 9/(-21) - 1/(-945)*-295.
216
Suppose 5*x = 5*w - 45, 68*w - 67*w + 3*x = -11. Let q(k) = 2*k**2 + 2*k - 12. What is the lowest common multiple of q(w) and 120?
840
Suppose -h + 0*h = -2. Let w = 3376/2331 - 1/259. What is the common denominator of w and ((-60)/(-22))/(-1 + h)?
99
Calculate the least common multiple of 80 and 45*14/189