15. Let q(v) = -7 + 5*v**2 + 0 + 20*v - 3*v**2. Calculate the smallest common multiple of q(k) and 30.
30
Let v(n) = n**3 + 14*n**2 + 34*n + 15. Let g be v(-11). What is the common denominator of (-4)/80*(-194)/2 and (-42)/g*169/(-390)?
20
Calculate the lowest common multiple of 1470 and 23/2 + (-48)/(-96).
2940
Let d(q) = 7*q**2 + 90*q + 11. Let i = -276 - -261. What is the least common multiple of d(i) and 2?
236
Suppose -2*x = 5*s - 29, -53 = -5*x + x - 5*s. What is the common denominator of 115/x*(-22)/55 - -3 and 1/12?
12
Let g(a) = 2*a + 160. What is the smallest common multiple of 297 and g(-25)?
2970
Suppose 0 = -43*z - 23656 - 8594. Let g = -4511/6 - z. Find the common denominator of 59/87 and g.
174
Suppose 0 = 22*x - 23*x + 5*i + 29, 5*x - 260 = 2*i. What is the smallest common multiple of 1377 and x?
2754
Calculate the common denominator of -83/8 and ((-810)/24)/45*100/4926.
6568
Let l = -7021/3 - -281119/120. Let x = -125693/81624 + -6/3401. What is the common denominator of l and x?
120
Let o = -14679482/275 - -53380. Find the common denominator of 43/1045 and o.
5225
Let s = 28427 + -2330957/82. Find the common denominator of -38/13 and s.
1066
Let u(d) = -685*d + 4 - 2 + 0 + 6*d**2 + 688*d. Let h = 390 - 387. Calculate the smallest common multiple of u(-1) and h.
15
Calculate the least common multiple of 5862/24 - (-35)/(-28) and 3294.
29646
Suppose 0 = 3*i + 5*d + 118749, -4*i - 6*d - 158332 = -d. Let b = -5462413/138 - i. Let n = b + -4/207. Calculate the common denominator of n and -51/4.
36
Let l = 14600364 - 131841286781/9030. Find the common denominator of 17/14 and l.
9030
Suppose -35 = -0*n - n. Let w = n - 2. Let f(p) = 2*p**3 - 34*p**2 + 134*p + 87. What is the smallest common multiple of f(10) and w?
297
Let q = -9281 + 130009/14. What is the common denominator of 31453/(-19880) + 2/16 and q?
70
Let t(n) = n**2 - n + 4. Let i be t(5). Suppose 3*d - 75 = 2*b, -d = -2*d + b + i. Suppose 831*u = 852*u - 630. What is the lowest common multiple of u and d?
270
Suppose -d + 4 = -w, -2*w = -3*d + 2*w + 15. Find the common denominator of d*((1 - 1) + 900/54) and -61/15.
15
Let y(d) = d**2 + 38*d - 9. Let j be y(9). Let v = j + -377. Calculate the smallest common multiple of 4 and v.
148
Suppose 3*x = u + 435, -26*x - 5*u - 591 = -30*x. Calculate the lowest common multiple of x and 456.
2736
What is the lowest common multiple of (-19)/4*-193 + 1412/5648 and 4?
3668
Let u be (-12)/3 + 3 - 1*-3. What is the common denominator of (u/8)/((-248)/(-93)) and -43/44?
352
Let f = -2568 - -5007. Calculate the smallest common multiple of 9 and f.
2439
Let k = -49201/15 - -3285. Find the common denominator of k and (-1 - -6) + 1841/(-546).
390
Let t = 123 - 154. Let w(m) = m**2 + 30*m + 2. Calculate the smallest common multiple of 30 and w(t).
330
Let r = 149 + -111. Suppose -1 = q, 2*h - q - r - 7 = 0. What is the least common multiple of h and 22?
22
Let w = 1631083/12 + -135688. Let t = -79273/336 + w. Find the common denominator of t and 39/4.
112
Let v be -1*(-2)/(-10) + (-36)/(-5). Suppose 2*z = -4*n + 36, 3*z - v - 2 = 3*n. What is the least common multiple of 6 and z?
24
Suppose -y = -26*y + 125. Let l(f) = 5 - 2*f - 2*f + 5*f. What is the least common multiple of l(y) and 18?
90
Suppose -q = -u + 32, -3*q - 1 - 25 = -u. Suppose -2*n = -16 - 48. Let f = u - n. What is the least common multiple of 3 and f?
3
Let z(s) = -2*s**2 + 59*s + 498. What is the smallest common multiple of 1743 and z(36)?
17430
Suppose 3*r + 4*u = 470, -4*u = -2*r + u + 321. Suppose 13*m - r - 24 = 0. Calculate the least common multiple of m and 20.
140
Let x(t) = 2*t**2 + t - 2. What is the lowest common multiple of 2/(-1) + 54 + -43 + 7 and x(-2)?
16
Suppose -11*y + 6*y - 5 = 0. Let o(x) = -18*x**3 + 2*x**2 - x - 3. Calculate the least common multiple of o(y) and 130.
1170
Let x = 9268643/132 - 70216. Calculate the common denominator of x and (-9292)/(-920) - 2*3.
660
Suppose 0 = -5*u + 24 + 21. Let y = -274 - -372. Calculate the smallest common multiple of y and u.
882
Let g(s) = -3*s**2 + 109*s - 877. Suppose -4*f - 100 = -2*h, 3*f + 103 = 3*h - h. Calculate the least common multiple of g(24) and h.
616
Let o = 100/381 + -3417/10922. What is the common denominator of o and 29/516?
516
Let l(y) = 8*y - 4. Let w = 14204 + -14192. What is the smallest common multiple of l(3) and w?
60
Let l be (-3*3/6)/((-48)/128). Suppose 0*a + 3*a - 159 = -l*r, 0 = 4*r + a - 149. Calculate the least common multiple of 20 and r.
180
Let d = 236 - 314. Calculate the least common multiple of 2/(-6) + (1 - d/18) and 274.
1370
Let b be 6*(-4 - (15/9 + -1)). Calculate the lowest common multiple of -2*(0 + -1) - (0 + b) and 231.
2310
Let g = 85 + -46. Suppose g = 2*y + y. Let l = 5 + y. Calculate the lowest common multiple of l and 10.
90
Let z be -3 + 5/4*4 + -2. Suppose -4*q + 4 = z, -4*q = 5*a - 29 - 5. Calculate the smallest common multiple of 186 and a.
186
Let r be -1*(0 - 0)/5. Suppose 0 = -15*t + 7*t + 64. Suppose t*i - 644 + 164 = r. What is the smallest common multiple of i and 20?
60
Let b = -176 - -168. Find the common denominator of -1*(b - -5) + (-59)/16 and -83/14.
112
Calculate the common denominator of (839/(-51))/((-86)/(-6) + -7) + 2 and -93/646.
7106
Suppose -82 = 159*l - 161*l + 2*u, 5*l - 187 = 3*u. Suppose 5*h - 5*j = 75, 3*h + j - 41 = 3*j. Calculate the least common multiple of l and h.
352
Suppose 1282 + 34 = 47*z. Let m = z - -4. Calculate the least common multiple of 9 and m.
288
Let g(z) = 153 - 66 - 79 - 7*z + 6*z**2 + z**3 + z. Calculate the smallest common multiple of 7 + (-12)/(-3) + -2 and g(-7).
9
Let d = -4049900309 + 1263573620579/312. Let q = d + -311717/26. Let o = 3151 - q. Find the common denominator of o and 32/21.
168
Let v(o) = o**2. Let b(s) = -5*s**2 + 11*s - 21. Let g(a) = -b(a) - 6*v(a). Let c be g(6). Let m = -57 - c. What is the lowest common multiple of 6 and m?
24
Let d be 21*(-3 - (-2)/3). Let x be (-12)/21 - 126/d. Suppose 4*u = -x*v + 12, -4*v - 3*u + u + 54 = 0. What is the least common multiple of v and 18?
144
Calculate the common denominator of 6/(28 - 4) - (-340)/(-168) and -30/77.
924
Let b = 4/123 + 4031/861. Let j = 554/119 - b. Find the common denominator of 27/7 and j.
119
Suppose r = -2*t + 16, -4*t - 3*r = -13 - 23. What is the common denominator of 692/72 + t/(-4) and 302/(-54) - -2 - -2?
27
Let n = -148 + 46. Let t = n - -82. What is the common denominator of (2/t*-94)/(24/(-20)) and -89/4?
12
Let y be (-560)/120*((-468)/(-7))/(-2). Let w = y + -136. Calculate the least common multiple of w and 4.
20
Suppose 0 = 16*q - 2035 - 2061. Calculate the lowest common multiple of 352 and q.
2816
Let t(y) = -2*y + 48. Let u be t(22). Let j be ((-303)/(-12))/(u/48). Calculate the common denominator of 10/165*j/(-4) and 67/112.
1232
Let u = -432007/15576 + 1646/59. What is the common denominator of 143/72 and u?
792
Let d = -7 - -11. Suppose 18 = d*i + 50. Let a(y) = -y**3 - 10*y**2 - 18*y - 12. Calculate the smallest common multiple of a(i) and 8.
8
Suppose 0*z + 8*z + 2952 = 0. Let w be (6 + (-3552)/450)/(z/170). Let r = w - -11/205. What is the common denominator of r and -23/9?
27
Let x = 11607 - 11570. Calculate the smallest common multiple of x and 370.
370
Let k = -201/14 - -1273/56. Calculate the common denominator of (-777)/(-44) + (-2)/(-22) and k.
8
Let v = -54843809086/31890915 - 12005/260334. Let o = -8602/5 - v. Calculate the common denominator of o and 39/22.
1078
Calculate the smallest common multiple of 1 - (-4 - -5) - -87 and (9*(-6)/(-2) - 4) + -2.
609
Let r(a) = -a**3 + 29*a**2 + 36*a - 31. Let t be r(30). What is the common denominator of 2 - 5/200*t and -55/92?
920
Let q = 6270 - 5628. What is the lowest common multiple of 214 and q?
642
Let g(a) = 25*a + 86. Let n be g(-14). Calculate the common denominator of (-54)/(-8)*((-976)/n + -4) and 5/4.
44
Let y(s) = -5*s + 21. Let o be y(4). Find the common denominator of 1 + (o + 1 - (-681)/(-276)) and 101/12.
276
Let k(p) = -p**2 + 4*p + 4. Let c(n) = n**3 + 16*n**2 - 24*n + 15. Let i be c(-17). Let m = 148 - i. Calculate the least common multiple of m and k(4).
28
Suppose 4*v + 104 - 126 = -3*p, -3*p = -5*v - 40. What is the smallest common multipl