34. What is the smallest common multiple of s and 103?
927
Let x = -30651/2852 - 2/713. Find the common denominator of x and (-1)/(-4) + (-93)/24.
8
Let q be 6/9 - (-40)/12. Suppose 0*h + h + q = 0. What is the common denominator of 71/2 and 4 - 147/12 - h?
4
Let r = -365/76 - 56/19. What is the common denominator of r and -61/28?
28
Suppose v - 2*x + 2 = 6*v, -5*x = 20. Suppose t + v = -0, -4*a = 5*t - 6. What is the lowest common multiple of a and 1?
4
Let y(t) = -18*t + 120. What is the lowest common multiple of 117 and y(6)?
468
Let l(w) = -20*w**2 + 9*w + 12. Let q be l(-5). Let i = -273 + q. Calculate the common denominator of i/140 + (-2)/(-5) and 89/12.
84
Let m = 9508173/2380 - 39951/10. Calculate the common denominator of -113/14 and m.
476
Suppose 0*y + 4*y = 8. Suppose -y*f = -2*k + 68, -5*k - 2*f + 138 = f. What is the least common multiple of 10 and k?
30
Suppose 4*y - 5*y - 1 = 0. Suppose 2*x = 5*v - 89, -47 = -3*v + 4*x - 6*x. Let f = v + y. Calculate the lowest common multiple of f and 2.
16
Let d be 10/502*((-14)/245)/1. Let k be 333806/21084 + (-2 - -1). Let u = k - d. Calculate the common denominator of u and 73/2.
6
What is the lowest common multiple of 33 and -6 - 11/((-11)/57)?
561
Let y be (-1)/(7/(-1))*-383. Let p be (1346/(-8))/((-63)/12). Let t = p + y. What is the common denominator of 22/7 and t?
21
Suppose -2*b - 11 = -15. Let w(c) be the third derivative of c**6/40 - c**5/60 - c**4/24 + 2*c**2. What is the least common multiple of w(b) and 12?
36
Let l = -7 - -10. Suppose -4*k + 8*k - 124 = 0. Let a = 40 - k. Calculate the lowest common multiple of a and l.
9
What is the least common multiple of (-5 + (-3)/21)/(10/(-35)) and 102?
306
What is the common denominator of (-554)/624 + 3 + 123/(-39) and -25/27?
216
Suppose -4*y = -2*o - 3*y + 48, o + 4*y - 24 = 0. What is the least common multiple of 3 and o?
24
Let v = 119947/140 + -5451/7. Let h = -78 + v. Calculate the common denominator of h and 99/20.
20
Suppose 0 = 2*o + 1 + 5. Suppose 3*j = -4*l - 0 + 4, 5*j = 5*l - 5. What is the common denominator of 39/36 + o + j and -139/12?
12
Let a(q) = 6*q - 2. Let r(i) = i + 19. Let c be r(-18). Let b = -19 - -33. What is the smallest common multiple of b and a(c)?
28
Suppose x = -3*s + 25, -3*s + 5*x = 3 - 22. Calculate the least common multiple of 17 and s.
136
Suppose 5*s = -3*d + 43, -21 = -5*s - 5*d + 14. Let l = -12476 - -249457/20. Calculate the common denominator of l and (-2)/s + (-6671)/154.
20
Let t(r) = 2*r + 12. Let w be t(-5). Let v = -11 - -19. Let b = v + w. Calculate the lowest common multiple of b and 14.
70
Let h(b) = 2*b**2 + 8*b - 11. Let l be h(-5). Let s(p) = p**2 - 1 - 3*p**3 + 0*p + 0*p**2 - p. Calculate the lowest common multiple of s(l) and 5.
20
Find the common denominator of -5 - (8/16 - 656/90) and -81/10.
90
Let m(z) = -z**2 + 11*z - 5. Let i be m(6). Suppose -i*v - 44 = -24*v. What is the common denominator of -9/11 and v?
11
Suppose 0 = 2*u - 6, -2*u - 17 = 5*s - 6*u. Calculate the common denominator of s + 375/18 + -4 and -73/6.
6
Let t(c) = -c**2 - 11*c + 1. Let y be t(-11). Calculate the lowest common multiple of 817/57 + y/(-3) and 58.
406
Let u = 288 + -208. What is the least common multiple of u and 60?
240
Let p be (-2)/(-6) + (-22)/(-6). Let j = p - -4. Suppose 630*b + 5*t = 627*b + 57, -5*t + 71 = 4*b. What is the smallest common multiple of j and b?
56
Let a(u) be the first derivative of -2*u**2 - u - 2. Let o be a(-1). Find the common denominator of 14/11 and (-12)/(-32)*-29 + o.
88
Let h = -16 - 16. Suppose -2 = -3*n - 2*r, -2*n + 3*r + 15 + 8 = 0. Calculate the smallest common multiple of n and (h/4)/(-2)*2.
8
Let s(n) = -28*n**3 + 3*n**2 + 22. Calculate the lowest common multiple of s(-4) and 18.
16758
Suppose 68 = 4*y - g - 251, 263 = 3*y + 4*g. Let o = -20 - -28. Calculate the lowest common multiple of o and (-2)/6 + (-9)/(y/(-30)).
24
Let u(o) = -o + 2. Let w be (-2)/(-4) - (-6)/4. Suppose 3*b + 29 = w*c, 3*c = -2*c + 4*b + 55. What is the least common multiple of c and u(-10)?
84
Let l be (2 + -6)/(-2 - 0). Calculate the common denominator of l + -6*(-26)/(-16) and 27.
4
Let j = -73005497/1107 + 65949. Calculate the common denominator of 27/4 and j.
4428
Let b be -3*(-2)/6 + 2/(-2). Suppose -2*r - 65 = -5*r + d, -r - 3*d + 35 = b. Calculate the lowest common multiple of r and 7.
161
Let s = -7153/970 + -51/97. Calculate the common denominator of (-98)/44 - 15/(-15) and s.
110
Let w be ((-360)/(-105))/(0 - 4/(-14)). Suppose w*o - 18 = 10*o. Calculate the lowest common multiple of o and 9.
9
Let s = 7 - 3. Suppose -3*i = -26 - s. What is the common denominator of -83/6 and (-4)/10 - 103/i?
30
Calculate the common denominator of 5 + 615/(-18) + 6 and 49/2.
6
Suppose 3*g = 5*x + 60, 3*g - 4*x - 54 = -x. Suppose -h + g = -6*h. Calculate the lowest common multiple of 10 and 6*((-11)/h + -3).
20
Suppose 5*j - 12 = 4*x, -2*j + 5*x - 6 = -j. Suppose -1927 = j*v - 5*z, -4*v + z - 1721 - 210 = 0. Calculate the common denominator of 4/22 + v/(-66) and -9/8.
8
Let g(l) = l**3 - 6*l**2 + 6*l - 3. Let v be (-4)/(-18) + (-104)/(-18). Let d be g(v). What is the common denominator of 691/110 + (-6)/d and 95/22?
110
Suppose 4*v - 4*c = -32, 0*v + 5*v = 3*c - 30. Find the common denominator of (-4)/v + 3*1719/324 and 17/30.
60
Suppose 13 = 3*m + d, 2*d + 17 = 4*m + 3*d. Let g = 34 - 36. Calculate the least common multiple of (-88)/(-6)*(3 - (-3)/g) and m.
44
Let o(k) = -8*k - 1 + 3 - k**2 + 2. What is the smallest common multiple of o(-8) and 3?
12
Let o = 690 - 400. Calculate the lowest common multiple of o and 4.
580
Let t(h) = 136*h - 258. Let y(x) = 2*x**3 - 1. Let p be y(-1). Calculate the least common multiple of t(2) and (4/(-10))/(p/135).
126
Find the common denominator of 59/12 and -6 - ((-2975)/(-18))/(-17).
36
Let x be 1 + (-2 - 0) + -2. Let p(b) = 5*b**2 - b - 12. What is the least common multiple of 11 and p(x)?
396
Let b(v) = v**2 + 40*v - 82. What is the smallest common multiple of 2 and b(-42)?
2
Let f = -15/11 - -483/88. Calculate the common denominator of f and 3/6 - 3*(-78)/99.
88
Let f = -3093/412 - -3/412. What is the common denominator of f and (-51)/4*70/(-147)?
14
Let r = 3107 - 62061/20. Calculate the common denominator of 41/28 and r.
140
Let c(o) = -7*o**3 - 2*o**2 + o + 6. What is the smallest common multiple of c(-3) and 18?
522
Let y = -1/1148 - -10363/35588. Calculate the common denominator of -1/10 and y.
310
Find the common denominator of (51/396)/(((-12)/(-27))/(-2)) and 23/16.
176
Let o = 17 - 6. Suppose 0 = 3*p - 3*m - 0*m + 3, -5*p = -m - o. Suppose -p*h = 4*v - 16 - 5, 4*v - 26 = -2*h. Calculate the lowest common multiple of v and 9.
9
Suppose 2*j = 1 + 5. Suppose 20 = -j*y - 3*g - 2*g, 2*g - 10 = 0. Calculate the common denominator of -7/20 and (-5)/y*(-402)/(-32).
80
What is the lowest common multiple of (-60)/(-12)*(-16)/(-5) and (-3 - (-1)/(5/13))*-35?
112
Suppose 0 = 16*x - 21*x + 20. Suppose 0 = -g + 4*g - 6. Suppose g*c + 14 = 3*c. Calculate the smallest common multiple of c and x.
28
Let y = 47 + 61. Calculate the common denominator of ((-8)/(-20))/(y/(-1725)) and -139/30.
90
Let y = 19307 - 2104425/109. Calculate the common denominator of -38/11 and y.
1199
Suppose 7 = -3*j - 4*v + 20, 0 = 4*j + 3*v - 22. Let u = -15 + j. What is the common denominator of -35/9 and (-2)/u*(-10)/4?
72
Let v(i) be the third derivative of -i**4/24 + 7*i**3/6 + 8*i**2. Let d be v(7). Calculate the common denominator of (-79)/(-20) + d/5 and -117/10.
20
Let c = 32 + -24. Suppose -1600 = c*h - 3*h. Find the common denominator of (-8)/(-6)*156/h and 37/20.
20
What is the smallest common multiple of 48 and 83 + (3 - 3) + 5?
528
Let p = 59617/29 + -2055. Calculate the common denominator of 29/10 and p.
290
Suppose 37 - 10 = 3*t. What is the lowest common multiple of t and ((-90)/5)/(-6) - -4?
63
Let r be 390/(-25) - (-6)/10. Let q = -31 - -97. Calculate the common denominator of 15/q*213/r and -101/10.
110
Let y be -4*(-11)/17 - 2. Let v = y - 1246/153. Find the common denominator of v and (-3 - -4) + 210/(-16).
72
Suppose -4*g + 19 = 5*m - 174, -4*m = 12. Suppose 19*b - 21*b - 3*s + 27 = 0, 17 = 2*b + s. Calculate the least common multiple of g and b.
156
Let b(k)