and h.
48
Suppose -k + 5*o + 27 - 3 = 0, 120 = 5*k + 5*o. What is the least common multiple of k and 76?
456
Let w(h) = -4*h + 145. Let d be w(35). Let j = -59 - -169/2. What is the common denominator of j and d - 627/121 - (-41)/22?
22
Let i(k) = 6*k + 32. Let y be i(-12). Let c be (-2)/y*4 + (-19618)/(-1560). Let h = c - -38/39. What is the common denominator of 97/20 and h?
20
Suppose 6 - 111 = 5*c. Let b = c + 20. Calculate the common denominator of -49/44 and (21/144 - b) + 0 + 2.
528
Let x = 431441 + -601428807/1394. Calculate the common denominator of 37/18 and x.
12546
Suppose 0 = 7*f - 5*f - 96. Let d = -138/43 - 134/387. What is the common denominator of (-18)/48 + 106/f and d?
18
What is the smallest common multiple of 11 and (-1218)/(-8) + (9/66)/(18/99)?
1683
Let q be (-751)/115 + (-6)/10. Let d = q - -6811/552. Find the common denominator of d and 31/30.
120
Calculate the common denominator of -83/33 and (-11)/((-22869)/18)*(-906)/48.
924
Suppose 0 = -n, -l + 4*n - 3 = -2. Find the common denominator of l*772/(-540) - 3/(-15) and -32/9.
27
Let z = -98/3 + 12. Let o = 6357 + -95393/15. Calculate the common denominator of o and z.
15
Let q = 11/1085 + -693337/2170. Let r = 336 + q. Let f = 38263/4970 - -3/2485. Calculate the common denominator of r and f.
10
What is the common denominator of 34/21*((-45)/(-72) + -1) and -53/35?
140
Let n(w) = -6*w**2 + 4*w + 5. Let o be n(4). Let u = o - -102. Find the common denominator of 109/18 - 6/u and 83/36.
36
Let t = -6986863/12290 - 1/6145. Suppose -7740 = 12*p - 1260. Let h = t - p. Calculate the common denominator of h and 77/12.
12
Suppose -99 = 4*d - 5*d - 3*a, 3*d = 2*a + 275. Suppose -28 = d*p - 97*p. Calculate the smallest common multiple of 9 and p.
63
Let a(t) = 2*t**2 + 2*t - 2. Suppose -10*d = -4*h - 676, d + 1331 - 1436 = -3*h. Calculate the smallest common multiple of d and a(2).
360
Suppose -5*d = 5, 20*q + d = 17*q + 89. Calculate the lowest common multiple of q and 90.
90
Suppose 2*v - 4*n - 139 + 35 = 0, -3*v + 4*n + 142 = 0. Calculate the smallest common multiple of v and 601.
22838
Find the common denominator of (1 - (-14311)/2040) + (-29 - -44) + -23 and -1/90.
6120
Let h = -266/113 + 426/565. Find the common denominator of h and -48/3401.
17005
Let t = 832 + -831. Calculate the least common multiple of t and 1618.
1618
Let y(v) = -80*v - 696. What is the smallest common multiple of y(-9) and 91?
2184
Let n = 1071/19 + -352739/6251. Let l = n + -25001/70406. Find the common denominator of l and 2 - ((-158)/(-40) + -2).
2140
What is the lowest common multiple of ((-18)/(-14))/((-25)/(7000/(-60))) and 686?
2058
Let x = -9135 + 9363. What is the least common multiple of 132 and x?
2508
Suppose 5 + 7 = 3*y. Suppose 4*r = 4*j - 7*j + 86, y*r - 56 = -2*j. What is the smallest common multiple of -5*(0 + 3/2)*-2 and j?
30
Let s be (-740)/(-8)*-2*(-3 + 2). Suppose 3*z - 135 = -3*m, 2*m - s = -4*z - 3*m. What is the lowest common multiple of z and 16?
80
Let n = -6 + 10. Suppose k = n*k - 24. Suppose 8*h - 2033 = -136*h - 17. What is the least common multiple of h and k?
56
Let d = 14585/297 - 552/11. Find the common denominator of d and -67/168.
1512
Suppose -4*h + 16*h = 14 + 10. What is the lowest common multiple of h and 2877?
5754
Calculate the lowest common multiple of 122 and -7*(5*3/(-70))/(2/24).
1098
Let v = 13 + -7. Let x(k) = 16*k**2 + 3*k + 4. Let d(s) = 15*s**2 + 2*s + 3. Let p(y) = 6*d(y) - 5*x(y). What is the smallest common multiple of v and p(-1)?
66
Let u be 6*(235/(-10) + -7). Let q = -21 + 53/2. Find the common denominator of q and (((-432)/30)/9)/(u/15).
122
Let q = -2/21713 - 1606660/1107363. What is the common denominator of 107/408 and q?
408
Suppose 39 - 45 = -6*t. Suppose 3*u = -t - 8. What is the lowest common multiple of u*6/9 + 3 and 48?
48
Let g(f) = -f**2 + 7*f + 23. Let w be g(9). Suppose -w*r + 18 = 8. Suppose -r + 72 = 5*o. Calculate the lowest common multiple of o and 78.
546
Let m be 119442/36 + 0 - 7. Let a = m - 3321. What is the common denominator of a and 0/(-2) - (-29)/39?
78
Calculate the smallest common multiple of (-54586)/(-175) - (-24)/300 and 12.
312
Let h = 3214 - 3127. What is the smallest common multiple of 348 and h?
348
Let o(k) = -26*k + 2405. Calculate the least common multiple of o(90) and (-21)/(-4) - (-18)/(-72).
65
Let h = 14492 + -12656. Calculate the lowest common multiple of h and 96.
14688
Let a(n) = 2*n**3 - 139*n**2 + 85*n - 376. What is the least common multiple of 832 and a(69)?
5824
Let r(b) = 4*b**3 - 9*b**2 - 65*b - 12. What is the lowest common multiple of 174 and r(7)?
1392
Suppose 4*s - 2*s - 20 = 0. Suppose 6*x = 3*z + 11*x - 352, -z - 2*x + 119 = 0. Calculate the least common multiple of (-126)/(-315)*(z - -1) and s.
220
Let l = 7118 + -5903. Calculate the least common multiple of l and 1485.
13365
Let y = -12674 + 14360. Calculate the least common multiple of y and 281.
1686
What is the common denominator of (-4 + 117/(-72))*-4 and -4/387?
774
Let z be -7131*(-6 - -6 - 3). Let h = 2032376/95 - z. Find the common denominator of h and -17/11.
1045
Suppose -5*j + 0*j = -8205. Let w = 2523 - j. What is the common denominator of -119/18 and w/220 + (-12)/20?
198
What is the common denominator of (-11)/(924/8) - 130/11340 and 115/1386?
12474
Suppose 12 = 7*m - 324. Let g = 40 - m. Find the common denominator of 20/39 and 10/g*8/(-20) - 1.
78
Let z(d) = 91*d + 6. Let b be z(-6). Let v = -355023/65140 - -1/6514. What is the common denominator of (-4)/(-10) + 4506/b and v?
180
Let f(z) = -z**2 + 5*z + 11. Let d be f(6). Suppose -4*v + 4*l = -7*v - 70, 0 = d*v + l + 128. Let n = 36 + v. What is the lowest common multiple of n and 10?
10
Suppose 10 = 3*x + 4. Let a be 3 - (155/(-5) + x). Suppose a = 6*u + 26. What is the smallest common multiple of u and 20?
20
Calculate the common denominator of (-5)/(-2*(3 + 0)/((-684)/(-96))) and (-39)/2*-1*35/1218.
464
Calculate the common denominator of -1/5744 and ((-3)/363)/(544/(-20944)).
63184
Suppose 28 = y - 49. What is the smallest common multiple of (2 - 2880/(-100))/(2/5) and y?
77
Let w = 19035 - 513877/27. Calculate the common denominator of 97/6 and w.
54
Let i = 2232 + -1896. What is the smallest common multiple of 616 and i?
3696
Suppose 3*m - 2*p = p - 147, -5*m + 3*p - 237 = 0. Calculate the common denominator of (9/(-30))/(m/775) and -65/6.
6
Suppose -73*h + 110 = -30*h - 32*h. Calculate the lowest common multiple of h and 1642.
8210
Find the common denominator of 77/1224 and ((-4)/(-150))/((-19)/((-97755)/1428)).
6120
Let x be (-18)/234 - (-117001)/13. Find the common denominator of -95/8 and (-1)/x*-5142 + (-1)/3.
1000
Let l = 6373 + -6069. What is the least common multiple of 8 and l?
304
Let h(i) = 3*i**3 + 24*i**2 + 30*i - 3. Calculate the least common multiple of h(-6) and 2433.
26763
Let j(d) = -d**3 + 13*d**2 + 30*d + 11. Let c(x) = -x**3 + 2*x**2 + 9*x + 14. Let u be c(5). Let h = u - -31. Calculate the least common multiple of j(h) and 5.
55
Suppose -21*k - 985 + 1757 = -2063. Calculate the least common multiple of 6 and k.
270
Suppose -1722*o + 1714*o - 48 = 0. What is the least common multiple of 26 and 46 + (-3)/3 + o?
78
Suppose 168 = -99*z + 120*z. What is the lowest common multiple of 604 and z?
1208
Suppose 14*b = 19*b + q - 671, -b + q = -139. What is the lowest common multiple of 24 and b?
1080
Suppose -15*w = -19*w + 368. What is the lowest common multiple of 5*(-15)/(-100)*(-1 - -17) and w?
276
Let q(a) = 32*a**2 + 20*a + 2. Suppose 2*k - 5*p = -29, 3*k - 3*p + 7 = 7*k. Calculate the smallest common multiple of q(k) and 90.
90
Let c(g) = -162*g - 9546. Suppose -v + j + 118 = 2*v, -110 = -3*v - j. Calculate the least common multiple of v and c(-59).
228
Let k(y) = -y**3 - 4*y**2 - y - 2. Let d be k(-4). Let p = -4/383 - 9567/766. What is the common denominator of 286/(-36) - (1 - d) and p?
18
Let s(p) = p**2 - 9*p + 3*p - 5 + 0*p**2. Let i be s(7). What is the common denominator of (i/32)/(4/(-324)) and 15/4?
16
Let r = 212 - 182. Suppose -10*h + 130 = -r. What is the lowest common multiple of 432 and h?
432
Let d be ((-80)/24)/(-1*2/27). What is the smallest common multiple of d/((10/(-18))/((-50)/30)) and 18?
270
What is the smallest 