5*v = -11 + h. What is the least common multiple of v and 90?
720
Suppose 99 - 7 = 4*z. Let y = -278/11 + z. What is the common denominator of (-2)/(-6)*17/3 and y?
99
Let p = -36386029/853499 - -1/44921. Let m = p + 9107/190. What is the common denominator of 151/18 and m?
90
Let d = 23/45 + 1439/90. Let y = 18167/16 + -1136. Find the common denominator of y and d.
16
Let a(s) = 5*s**2 + 2*s + 3. Let u be a(-3). Suppose 5*k - 2*k = -u. What is the lowest common multiple of 8 and ((-3)/2)/(3/k)?
56
Let k(n) be the third derivative of n**6/120 + n**5/30 - n**4/4 + n**3/3 + 38*n**2. Calculate the lowest common multiple of 24 and k(-3).
264
Let w = 52328 + -10680. Let j = w - 85695/2. Let d = -8355/7 - j. Find the common denominator of -75/22 and d.
154
Suppose -8*a - 3 = -11*a. Suppose 0 = -m + 1 + a. What is the smallest common multiple of m and (0 - (-4)/5)*5?
4
Let m = 12835 - 5495. Let h = 73523/10 - m. Calculate the common denominator of (-10)/(-3)*6/5 and h.
10
Let h = -1130709/116570 - 2/11657. Calculate the common denominator of -69/494 and h.
2470
Suppose 0 = 3*m + h - 37, 3*h + 37 = 5*m - 48. Calculate the smallest common multiple of 146/8 + 1/(-4) and m.
126
Let m(s) = s + 26. Let p be m(-17). Let o = 9 - p. Find the common denominator of o/2 - 582/24 and 35/12.
12
Let k = -2905628/9 - -323400. Let n = 553 - k. What is the common denominator of -41/12 and n?
36
Suppose 3*b = -0*b + 15. Suppose 0 = 3*n - b*s - 115 + 24, -20 = 4*s. What is the lowest common multiple of 22 and n?
22
Let r = -12974/19261 - -49/103. Find the common denominator of r and -19/153.
1683
Calculate the common denominator of (32/(-21))/(120/28) and (-59)/9*21/(-14).
90
Suppose -4*p - x = -237, -3*p + 2*x = -0*x - 186. Suppose -3*s + s + p = 0. Calculate the least common multiple of s and 6.
30
Suppose -5*r + 2*r + s + 383 = 0, 2*s = -2*r + 242. Calculate the lowest common multiple of 15 and r.
630
Let k = 10385/84 + -745/6. Calculate the common denominator of k and 57/112.
112
Let k = 37 - 30. Let j = -1107/124 + 52/31. Calculate the common denominator of 2/k + 9*2/280 and j.
20
Let i = 23 - 13. Suppose 18*w = 14*w + 16. Calculate the lowest common multiple of i and w.
20
Let u = -4/231 + 14569/924. Let c be 25/(-2)*(-4)/2*-69. Let j = c + 19002/11. What is the common denominator of j and u?
44
Let q be -4 - -1 - 964*25/40. Let f = -630 - q. What is the common denominator of f and 73/36?
36
What is the common denominator of -51/52 and ((-230)/(-88))/1*162/(-405)?
572
Let w = -5809/260 - -308/13. Calculate the common denominator of w and -97/18.
180
Suppose -w + 5*j = -0*w - 2743, 0 = 4*w - 5*j - 11047. Let t = w - 60871/22. Let b = -97269/14 + 6942. Calculate the common denominator of b and t.
154
Let g be ((-2)/12*3)/((-1)/(-88)). Let x = 50 + g. Calculate the least common multiple of 94 and x.
282
Let n(f) = 2*f - 38. Let u(a) be the first derivative of a**4/4 - 2*a**3/3 + 3*a**2/2 - 2*a - 1. Calculate the lowest common multiple of u(3) and n(24).
80
Let y be (-2 - 0) + 21/3. Suppose 0*i = -y*i + 30. What is the least common multiple of 46 and i?
138
Let j(v) = v**2 - 6*v + 6. Let q = -612 + 617. What is the lowest common multiple of j(5) and q?
5
Suppose -25 + 28 = -3*r. Calculate the common denominator of (-684)/160 - 6*r/2 and 15/8.
40
Suppose 0 = 2*l + 5*q - 4*q - 2, 0 = 2*q + 8. Suppose 9*i - 6*i = 96. Let y = i - 27. Calculate the lowest common multiple of l and y.
15
Calculate the least common multiple of 16 and -42*(-14 - -5) - -6.
384
Find the common denominator of (594/168 - 4)*5 and 69/14.
28
Let w = 798 + -780. Calculate the least common multiple of 10 and w.
90
Let i = 8 - 9. Let w(x) = 593*x + 3. Let f be w(i). Let y = 1153/2 + f. What is the common denominator of 4/5 and y?
10
Let z = -438 - -1285/3. Let b = 4/299 + -11677/1196. What is the common denominator of b and z?
12
Let w be (-2100)/21 - (-8)/(-2). Calculate the common denominator of 9/(-2)*6/7 and (-949)/w + (-1)/(2 + -1).
56
Let w(a) = -a + 10. Let g be w(5). Suppose g*n = 24 - 9. Suppose n*j + 3*f + 129 + 27 = 0, f = -2. Find the common denominator of j and 99/10.
10
Suppose -3*y = -4*k - 8*y + 22, y = -k + 5. Let h(z) = -3 + 4 + 5*z - 5. Calculate the smallest common multiple of h(k) and 1.
11
Suppose -4*a - 230 = -2*t, -5*a - t + 2*t = 295. Let k = 1102/5 + -12599/60. Calculate the common denominator of 2/(-3) + (-289)/a and k.
60
Let z be -4 - ((-770)/48)/11. Let a = -27/8 - z. Calculate the common denominator of a and -93/10.
30
Let r = 6 - 5. Suppose 3*o = 32 + r. What is the common denominator of o/18 + -3 - 1 and 99/4?
36
Let n(l) = 2*l**3 - 7*l**2 - 22*l + 12. What is the lowest common multiple of 15 and n(7)?
1005
Let a = 6967/292 + -154/73. Calculate the common denominator of 39/20 and a.
20
Let x = 15 + 120. Let d = -79 + x. What is the smallest common multiple of 5 and d?
280
Let d(i) = 4*i**3 - 18*i**2 + 6*i + 40. What is the least common multiple of d(7) and 8?
1144
What is the smallest common multiple of (-144)/((-22)/11) + (4 - -2) and 208?
624
Suppose -9*g - s + 29 = -4*g, -5*s = 3*g - 13. Let h = 15 - 13. What is the least common multiple of h and g?
6
Let m(n) = -356*n + 4. Let k be m(2). What is the common denominator of (-1)/(-4) + k/(-80) + -1 and -16?
10
Suppose -13*w = -6*w - 812. Calculate the least common multiple of 112 and w.
3248
Let y = -51 + 104. Let l = 67 - y. What is the least common multiple of l and 92?
644
Find the common denominator of (42/(-45))/(-14)*(-189)/(-2) and -11/9.
90
Suppose -s + 15 - 5 = 0. Let h be 6*(-16)/s*5. What is the common denominator of (-2 + -49)*(-10)/h and 13/18?
72
Let t(w) be the first derivative of -w**4/2 + 5*w**3/3 - 7*w**2/2 - 2*w - 3. Let b be t(5). Find the common denominator of -7/20 and b/1*(-1)/(-8).
20
Suppose 450 = -104*r + 129*r. Calculate the least common multiple of 3986 and r.
35874
Let v(l) = -l**3 - 6*l**2 - 7*l + 10. What is the lowest common multiple of 3 and v(-6)?
156
Suppose -5 = -2*v + 7. Let m(x) = 9*x**3 - 1. What is the smallest common multiple of m(1) and v?
24
Calculate the common denominator of 17/33 and 1340/564*2/(-10).
1551
Calculate the smallest common multiple of 40 and (-2)/11 - 13596/(-242).
280
Let z = -44 - -44. Suppose 41*a - 46*a + 35 = z. Calculate the lowest common multiple of a and 25.
175
Let d(h) be the second derivative of -h**5/20 + 3*h**4/4 - 3*h**3/2 + 5*h**2/2 + 2*h. Let q be d(8). Find the common denominator of -145/6 and 59/4*(-4)/q.
6
Let k = 68 + -131. Let r = k - -34. Let w = r + 33. Calculate the lowest common multiple of w and 8.
8
Suppose -14*b + 517 = -99. What is the smallest common multiple of 15 and b?
660
Suppose -2*t + 4*d = -256, -127 = -t + 49*d - 46*d. Calculate the smallest common multiple of t and 14.
910
Let q(p) = -416*p - 32. Let b be q(4). Let n = b + 20449/12. Calculate the common denominator of n and 51/40.
120
Let g(f) = -f - 1. Let o be g(6). Let b = 17 + o. Let c = -16 + 38. What is the least common multiple of b and c?
110
Let t = 12667/5688 - 3/632. Let d = -17 + 17. Let c = d - 1. Calculate the common denominator of c and t.
9
Let d = 1159589/314974 - -4/14317. Let k(y) = 5*y. Let x be k(8). Calculate the common denominator of (1/(-2))/(x/292) and d.
220
Let x(v) = v + 11. Let t(w) = -3*w - 4. What is the smallest common multiple of t(-8) and x(-9)?
20
Suppose 58*g - 7421 = 17*g. Calculate the smallest common multiple of 10 and g.
1810
Let v(w) = 2*w - 12. Let l(h) = -h + 3. Let y(z) = 8*l(z) + 3*v(z). Let q(m) = -m - 2. Let r be q(6). Calculate the least common multiple of 1 and y(r).
4
Let s = -4223/18 - -236. Let r = -18584 - -631767/34. What is the common denominator of r and s?
306
Suppose 8 = t + 2. Let a = t + -5. Let h = a - -6. Calculate the lowest common multiple of h and 6.
42
Let s be -4 + (-8988)/(-52) + 1. Let h = s - 20871/130. Calculate the common denominator of -75/4 and h.
20
Let w be (-112)/(-14) + (-2)/2. Suppose 2*o + 2*p = 6, -o - 3*p = -0*p + w. What is the lowest common multiple of o and 18?
72
Let g(f) = f**2 - 1. Suppose 2*c = -2*c + 4. Let t be g(c). Calculate the common denominator of 1/5 + (t - -1) and 16.
5
Suppose h + 2*j + 0*j = 24, 0 = -2*h - 3*j + 46. Suppose 10*k - 12*k = -4. Suppose 14 + 6 = k*y. What i