 Calculate the smallest common multiple of -1 + (-818)/(-6) - 4/(-6) and s(-12).
680
Let d be (28/(-8) - 3)*(3 - -91). Let p = d - -633. Let m = -10 - -14. What is the smallest common multiple of m and p?
44
Suppose 3*h + 2*g + 6 = 0, 4*h + 6*g - g + 15 = 0. Suppose h = 3*r - 31 + 28. What is the common denominator of (r - (-405)/10)/(-19) and -41/14?
266
Suppose -2*c + c = -2. Let s(j) = 6*j**2 + 50*j + 113. Calculate the smallest common multiple of c and s(-5).
26
Suppose 5*d - 37 = 3*g, -4*d - g + 12 = -4. Suppose -260 = -d*t - 215. Calculate the smallest common multiple of 15 and t.
45
Let w = 0 + -3. Let q(y) be the second derivative of y**5/20 + 5*y**4/12 + y**3 + 2*y**2 + 53*y. Calculate the least common multiple of 42 and q(w).
84
Let b = -1586 + 1589. Let c(w) = -6*w + 4. Let m(r) = -7*r + 3. Let l(a) = 6*c(a) - 5*m(a). Calculate the least common multiple of 19 and l(b).
114
Let a(z) be the second derivative of 7*z**3/6 + 62*z**2 - 28*z. What is the lowest common multiple of 6/(-5)*(-40)/6 and a(-17)?
40
Let z = -246995639383/4068 - -303583627/5. Let q = 9/226 + z. Find the common denominator of -21/4 and q.
180
Let p = 4 - 19. Let s be (p/152)/(12/(-64)*4). Let a = s - 877/4066. What is the common denominator of -107/10 and a?
1070
Let j(d) = -11*d**3 - 2*d**2 - 4*d + 8. Let y be j(4). Let n be (2*7)/((-16)/y). Let l = n - 2583/4. Find the common denominator of l and -115/12.
12
Let u = -9137191237/3036 - -3009615. Calculate the common denominator of -95/12 and u.
3036
Let b = -638263/1501738 + -4/11207. Find the common denominator of b and 41/42.
2814
Let o(v) = 7*v**3 + 3*v**2 + 7*v - 19. Let i(b) = -6*b**3 - 2*b**2 - 6*b + 16. Let c(y) = -6*i(y) - 5*o(y). Calculate the least common multiple of 2 and c(3).
2
Find the common denominator of 51/2 and 1296/160 - ((-20)/(-4) - 7).
10
Let w = -5136 + 154051/30. Let z = -29757 + 714055/24. Find the common denominator of w and z.
120
Let k(n) = n**3 + 17*n**2 - 39*n - 16. Let r be k(-19). Calculate the smallest common multiple of 12/(-8)*(r + -7 + 0) and -3 - -2 - (-5 - 0).
12
Let s = -93080/9 - -12100583/1170. Calculate the common denominator of s and -37/120.
1560
Let i = 683 - 130. Find the common denominator of (-6)/3 - (i/6)/(-7) and -23/7.
42
Suppose 3 = x - 5. Find the common denominator of 1/(-3) - (-1030)/660 and 274/420 - -1 - x/40.
462
Let r be (150831/40)/((-324)/216). Let q = r - -2519. Find the common denominator of -95/256 and q.
1280
Let h(k) = -6*k**3 - 13*k**2 - 4*k + 3. Let t be h(-4). Let z = 213 - t. What is the lowest common multiple of z and 2?
18
Let g = -7 - -6. Let p be 4 - g - (0 - -2). What is the least common multiple of (-1)/4 + 85/4 + p and 4?
24
Suppose -25*j = -11246 - 2112 - 5167. What is the smallest common multiple of 351 and j?
6669
What is the lowest common multiple of 3238 and (48 + -33)/(-30) - 3/(12/(-106))?
42094
Let t be 3*-4*9/((-27)/(-10)). Let n = t + 48. Suppose -4*w + 52 = 4. What is the lowest common multiple of w and n?
24
Let m be 1420769895/5850*(-3)/(-5219). Let t = m - 2075/5219. Let a = t - 1902/13. Calculate the common denominator of 121/12 and a.
60
Let q(m) = -m**3 - 19*m**2 - 3*m - 47. Suppose 4*j + 76 = -0*j. What is the least common multiple of 45 and q(j)?
90
Let f = -5359 - -5941. What is the least common multiple of 582 and f?
582
Let y = 23236 - 2300345/99. Calculate the common denominator of -32/33 and y.
99
Suppose 2*b = 5*z - 9070, 4*z + 5*b = -1746 + 9035. Calculate the lowest common multiple of 32 and z.
7264
What is the common denominator of 107/22 and (1860/(-2750))/((-160)/(-50))?
440
Calculate the common denominator of -3 + 223/21 + -8 and 137/348.
2436
Suppose -68*r = -23*r - 5400. Calculate the smallest common multiple of r and 12.
120
Suppose -1 = -t + r + 3, 3*t - 6 = 5*r. Let g(m) = 4*m**2 - 9 + t + m**3 - 6*m**2. What is the lowest common multiple of g(3) and 27?
189
Let q(w) = -w**3 + 21*w**2 + 3*w - 16. Let b be q(21). Let u = b + 29. Find the common denominator of (-100)/(-8)*2/u*1 and -51/8.
152
Let i(a) = -6*a + 74. Let p be i(11). Calculate the common denominator of (-222)/(-40)*p/(-12) and -99/64.
320
Suppose 307 = 5*r + 287. Find the common denominator of (393/81 - 3) + r/18 and -65/63.
189
Let d(f) = 5*f + 49. Let y = -874 - -902. Calculate the lowest common multiple of y and d(-7).
28
Let k = -5/9331 + 1629/8015329. Let d = k + -306611/156338. Find the common denominator of d and -40/3.
78
Let v = -161299171/12488 + 90414/7. What is the common denominator of 19/8 and v?
1784
Calculate the least common multiple of 5136 and ((-21)/(-2) + -11)/(2/(-12)) + 18.
35952
Suppose -3*z + c + 51 = 0, -3*c = -5 + 14. Suppose -h = h + z. Let u = h + 22. What is the lowest common multiple of u and 2?
14
Let x(w) = 590*w + 11282. Calculate the smallest common multiple of 576 and x(-19).
576
Let s = -387/40 - -12231/520. Let n = s - 681/52. Find the common denominator of n and 22/61.
244
Let z(k) = -597*k + 5979. Calculate the lowest common multiple of -2 + 10*(0 + 1) and z(10).
72
Calculate the common denominator of 1058/(-280) - (-26 - (-529)/23) and -37/18.
1260
Let l(a) = 27*a**3 + 3*a - a**2 - 26*a**3 - 17*a**2 - 24 - a**2. Calculate the smallest common multiple of l(19) and 3.
33
Let k = 8023/440 - 197/11. What is the common denominator of k and (188/12)/(35/3)?
280
Let u(i) = i**3 + 1 - 10*i - 2 - 20*i**2 + 9 + 13*i**2. Let v be u(8). Calculate the least common multiple of 27 and (12/v + -3)*-4.
54
Let g(t) = -t + 81. What is the least common multiple of g(76) and 103?
515
Let h be 5/2 + (-142639)/(-1394). Let f = -5636295 + 1054006104/187. Let n = h - f. Find the common denominator of n and -19.
11
Let t = 845 + -286. Let z be ((-117957)/70)/3 + 2. Let f = t + z. What is the common denominator of f and -99/2?
10
Calculate the common denominator of 31/9*((-20)/55 + 2247/462) and -2*(-334)/(-216) + 1.
54
Suppose 0 = 2*g + 10, 3625 = 5*h + 11*g - 8*g. Calculate the smallest common multiple of 4 and -5*24/(-30) + h*1.
732
Let q be (-20)/(-70) + (-23)/7. Let c be (-1 - q)*(-15)/(-6). Suppose 0 = -c*h - 5*h + 30. What is the lowest common multiple of h and 3?
3
Let t(r) = 2*r + 14. Let z be t(-5). Suppose 10 = z*k - 46. Let c = -1074 + 1090. Calculate the least common multiple of k and c.
112
Let c = -32 + 22. Let x = -8315 - -8333. Calculate the smallest common multiple of (-92)/(-5) + 4/c and x.
18
Find the common denominator of (-15)/(-34)*(-4)/(-6)*(-4)/(-205) and -1/2009.
34153
Let p(m) = 4*m**2 + 8*m + 9. Let k be p(-4). Suppose 0 = i - k + 13. Let r = 319/92 - -110/23. What is the common denominator of i and r?
4
Let x = -3012302519/573108 - 74/47759. Let h = x + 5264. Find the common denominator of 346/(-66) - ((-16)/12 - -1) and h.
132
Let i = -12098 - -12161. Calculate the least common multiple of i and 777.
2331
Suppose 0 = 2*b + f - 239, 187*b - 183*b - f - 475 = 0. What is the least common multiple of 119 and b?
119
Suppose -7*k + 108 = -16*k. Let h be 2/k - (-287)/42*-79. Calculate the lowest common multiple of 10 and h/(-162)*(6/5 - 0).
20
What is the lowest common multiple of 115/110*14 - (-64)/176 and 12?
60
Calculate the common denominator of 34/11 and (132/28836)/(11/(825/(-10))).
17622
Let c = 305 + -304. What is the smallest common multiple of (6 - (-27)/6) + c/(-2) and 17?
170
Suppose -2*b + 11 = -3*x - 118, 4*b - 3*x - 273 = 0. Suppose 18*v + 10*v = 37519 - 36959. Calculate the lowest common multiple of v and b.
360
Let s(t) = 5*t**3 - 416*t**2 + 87*t + 178. Calculate the least common multiple of 612 and s(83).
3060
Suppose -340*n + 153*n = -148*n - 34710. What is the least common multiple of n and 16?
7120
Let m be (4 - 22542/5588)*(-2084)/400. Let i = m - 3/1397. Find the common denominator of 151/60 and i.
120
Let y = -111/1163 - -118795/13956. What is the common denominator of (-4)/(-10) - 2626/3240 and y?
324
Let g(r) be the first derivative of r**4/4 - 4*r**3/3 - 3*r**2/2 + 16*r + 3. Suppose 4*k - 3*k - 4 = 0. Calculate the smallest common multiple of 10 and g(k).
20
Suppose m - 27 = -0*m. Calculate the lowest common multiple of ((-216)/15)/((-28)/105) and m.
54
Let c = -480719 - -216323693/450. Calculate the common denominator of c and 89/500.
4500
Suppose l = -4*s + 169 - 131, 3*s