 1. Let t be a(7). Suppose -9*q - q = -t. What is the smallest common multiple of 36 and q?
36
Calculate the common denominator of 67/44 and 2/(-1*(-2)/106*88968/(-33)).
14828
Suppose -1 = g + 3*l, g + 4*l = -1 - 1. Let f = 6576 - 177577/27. Find the common denominator of f and g - (-2 + 925/165).
297
Let g(x) = 33 + 27 + 13*x - 12 - 7*x. Let v be g(-7). Suppose r - n = v - 0, -r + 5*n = -18. What is the least common multiple of r and 20?
60
Suppose 0 = -5*q + 2*q. Suppose -v = 3*i - 1, q = -4*v + i - 6*i + 39. Suppose 15*c - 16*c = -44. Calculate the lowest common multiple of c and v.
176
Suppose 4*a - 31*n - 8 = -35*n, -2*n + 7 = 3*a. What is the least common multiple of 324 and a?
324
Let x(h) = -37*h + 8. Let g(i) = -2*i**3 - 2*i - 3. Let m be g(-1). Find the common denominator of x(m) and 115/14.
14
Let n = 10503 + -210053/20. What is the common denominator of n and (588/80 - 1) + -1?
20
Let x(q) be the second derivative of 5*q**3/3 - 19*q**2 + 2*q. Calculate the smallest common multiple of 12 and x(4).
12
Calculate the least common multiple of (2205/(-168))/(39/(-208)) and 130.
910
What is the common denominator of (195/5200)/(1 + (-2698)/(-24) + 1) and -7/4?
27460
Let m = 53101/13130884 - -3/21958. Calculate the common denominator of 69/572 and m.
13156
Let k = 575346 + -341755687/594. Find the common denominator of 145/54 and k.
594
Let q(j) = -18084*j - 32. Let t be q(-6). Let c = 538486/5 - t. Let f = 783 + c. Calculate the common denominator of f and -37/3.
15
Let f = 660 + -369. What is the least common multiple of f and 0/3 + 33 - (-3 + 41 - 32)?
2619
Calculate the common denominator of 67/585 and 30/(-9) + (-2)/3 - (-1312)/48.
585
Calculate the lowest common multiple of (-9)/3*(-6 - -3) and (-2)/(1/(-3)*(-14)/(-259)).
333
Let z(n) = -12 - 10*n**2 + 2*n**3 - n**3 - 95*n + 104*n - 18. Calculate the least common multiple of z(10) and 1.
60
Let z = 2604 - 557265/214. Calculate the common denominator of z and 3158/(-18)*627/(-4598) - (-1)/(-11).
642
Let a = 20 - 12. Suppose 17*y - 293 = -55. Suppose 16*o - y*o + 5 = 5*m, -5*o + 10 = -5*m. Calculate the smallest common multiple of a and m.
24
Calculate the least common multiple of (400/(-6))/((-378)/5103) and 360.
1800
Let r be 294/8 - (-21)/(-28). Suppose -3*x - 3 = -r. What is the lowest common multiple of 11 and (-2)/x + ((-612)/(-33))/3?
66
Let o = -363 - -378. Find the common denominator of -25/56 and (-415)/(-98) - (o + -11).
392
Let f = 5 + -7. Find the common denominator of -1/5 and 0 - f - (-4)/30*-66.
5
Suppose 38*o = 33*o + h + 80, 0 = 2*h. Calculate the smallest common multiple of 1136 and o.
1136
Let l = 114 - 120. Calculate the common denominator of (1000/(-165))/(-4) + l + 2 and (-2)/((-36)/519) + -4.
66
Calculate the lowest common multiple of ((-38)/(-95))/((-5)/5400*-1) and 108.
432
Let b = -29335/1476 - -734/41. Find the common denominator of 303/12*(-14)/105 and b.
180
Calculate the least common multiple of 12/22 - (-4)/(11 + 2145/(-205)) and 1165.
9320
Let d(q) be the first derivative of -q**4/4 - 4*q**3 - 6*q**2 + 3*q - 7. Suppose 4*o + 5 + 39 = 0. What is the smallest common multiple of 70 and d(o)?
70
Let l be (1 - ((-12)/(-4) + -111)) + -1. Let c = -63 + l. Calculate the common denominator of -53/10 and (107/7)/(3 + c/(-21)).
30
Let u = 1 + 1. Suppose -5*s - 5 = u*m, -2*m = 3*m + 4*s + 4. Calculate the lowest common multiple of -5 - -13 - 1 - m/2 and 10.
70
Suppose -161 + 430 = j. Calculate the common denominator of -7 - j*(-20)/732 and -22/15.
915
What is the common denominator of 3/108*309/5 and (2 - (-88)/(-64))*(2 - (-304)/150)?
60
Let w = -12609 - -27235487/2160. What is the common denominator of w and 101/270?
2160
Suppose -233 + 757 = -2*t - 5*h, 996 = -4*t + 3*h. Let l = t + 259. What is the smallest common multiple of l and 5?
35
Let x = 1251793/36 + -34769. Find the common denominator of x and -23/528.
1584
Suppose -5*l = -5*n + 40, n - l = 4*l + 28. Suppose -o - 3*o = 2*v - 22, 0 = -n*v + 15. Calculate the lowest common multiple of o and 23 + -33 - 1*-13.
3
Let k = -92 + 2216. What is the lowest common multiple of k and 18?
2124
Let v(g) = 2*g**2 - 72*g + 784. Let j(r) = -r + 14. Let a be j(6). Suppose -8 - a = -4*d. Calculate the least common multiple of d and v(22).
168
Suppose 0 = -n + 2 + 8. Let y(j) = -9*j**2 + 10*j**2 + 12 + j + 6*j. What is the smallest common multiple of y(-6) and n?
30
Let u be 207/((-10)/(-8)*(-36)/30). Let l = -128 - u. What is the lowest common multiple of 16 and l?
80
Suppose 4*x = 5*y + 6, -5*y = 9*x - 4*x - 30. Suppose y*c = 2*k - 6, 4*c + 27*k = 22*k + 24. Calculate the smallest common multiple of 16 and c.
16
Let j = 211 + -204. Let v(y) = y**3 - 5*y**2 - 5*y - 8. Calculate the smallest common multiple of v(j) and 30.
330
Let n = -1074 + 1542. What is the smallest common multiple of 2808 and n?
2808
Suppose z + 3 - 14 = 3*y, 0 = 5*z + 2*y - 72. Suppose 0 = -0*o + 3*o - 96. Let r = o - z. What is the smallest common multiple of 10 and r?
90
Let f(v) = v**3 + 44*v**2 - 93*v + 8. Calculate the smallest common multiple of 322 and f(2).
966
Suppose 9 = -n - 0*n. Let a = -6141 - -6139. Calculate the smallest common multiple of a*(3/n)/((-8)/(-12)) and 10.
10
Let v(w) = -w**2 - 15*w - 24. Let h be v(-11). Find the common denominator of -29/8 and (-15)/(-910)*(-2)/(h/(-105)).
104
Let q = 574 + -499. Calculate the least common multiple of 5/(q/(-10) + 8) and 109.
1090
What is the common denominator of -19 - -12 - 153/(-420)*18 and (-4)/(-20) - (-258)/(-80)?
280
Let v be (136939/(-36300))/((-3)/(-2)). Let q = -1/4950 + v. Find the common denominator of q and 315/(-18)*72/(-135).
33
Suppose -35*y = -34*y - 317. Let d = y - -557. What is the least common multiple of d and 22?
9614
Let h = -38 - -46. Suppose -b - h = b. Let m = b + 26. Calculate the lowest common multiple of 4 and m.
44
Find the common denominator of -79/1250 and 26/325 - (-174)/(-50).
1250
Find the common denominator of (-30)/6 - (906/108 + -6) and (1/162)/(2/(-363)).
108
Suppose -b = 5*i - 11, 2*b - 7 = -5*i + 20. Calculate the common denominator of (-3404)/(-333)*(-1)/b*-5 and 102/(-80) - (-8 - -6).
360
Let u(c) = -c + 89. Let g(l) = -l + 43. Let x(r) = 5*g(r) - 2*u(r). What is the least common multiple of 14 and x(7)?
112
Let x(b) = -b**2 + 6*b - 7. Let s be x(3). Suppose s*m - 12 = -2*k, 14 = -3*m + k + 48. Let w = -2 - -16. Calculate the lowest common multiple of m and w.
70
Suppose -5*v + 3*v + 4332 = 0. Suppose 17*h - v = 15*h. Let n = h - 2247/2. Find the common denominator of n and 5/113.
226
Let t = -426647/2550 + 2834/17. Find the common denominator of t and (-15004)/5280 - (-3 + 0).
600
Suppose 53 = 5*x + u, 0*u - 3 = -x - 4*u. Let h = x - 6. Suppose 6*z - 11 = -h. Calculate the smallest common multiple of z and 11.
11
Let x be ((-8)/10)/(-3 - 39/(-15)). Suppose x*c = 443 + 349. Let g = -2714/7 + c. Find the common denominator of g and 62/5.
35
Suppose -2*b + 23 = -3*y, -2*b - b = 5*y - 6. Calculate the common denominator of -41/27 and (-4)/(-42) - (-2)/b.
189
Find the common denominator of (-3460)/(-7714) - (-1746)/(-4074) and 149/174.
3306
Suppose 4*s - 155 = -5*x, s = 3*x + 20 + 6. What is the common denominator of -123/10 and 1396/(-448) + 15/s?
80
Let y(t) be the second derivative of -t**4/12 - 4*t**3/3 + 2*t**2 + 10*t - 1. Calculate the lowest common multiple of 48 and y(-6).
48
Let k = -6430049/136 - -47279. Find the common denominator of k and 13/184.
3128
Let s = -3927 - -518299/132. What is the common denominator of -81/26 and s?
1716
Let w = -113 - -200. Let n = w - 143. Let r = n - -46. Find the common denominator of r and 5/9.
9
Let p be (-802)/(-36) - (-2)/9. Let b = p + -62/3. What is the common denominator of 2/10 - (4 - (-299)/(-30)) and b?
6
Let n(f) = -f**2 - 7*f + 32. Let q be n(-10). Suppose k + 4*k - 90 = 0. Let m = q + k. What is the lowest common multiple of m and 12?
60
Calculate the smallest common multiple of (-28*(10 + 0))/(-4) and -7*(-4)/14*6.
420
What is the common denominator of 107/14 and 4371/2632*-8*(-1)/(-342)?
798
Suppose -4*n + 112 = -r, 3*r + 37 = 4*n - 59. Calculate the smallest common multiple of 870 and n.
870
Suppose -2*i - 16605 = 3*w, 3*i + 2*i - 22163 = 4*w. Let f = w + 18092/3. Let z = f + -502. What