4205
Let g(l) = 8*l**2 - 2. Let m(i) = 4*i - 1. Let r be m(0). Let t(k) = 12*k**2 + 6*k - 6. What is the smallest common multiple of t(4) and g(r)?
210
Let y = 38808559031/114 + -340485494. Suppose 3*c - 2*a + 178615 = 0, -4*c - 5*a - 246890 = -8752. Let u = y - c. Find the common denominator of 31/4 and u.
228
Calculate the common denominator of ((-7890)/1900 - -4)/(1 + 109/(-15)) and 25/11.
39292
Let v = -7080 + 7137. What is the smallest common multiple of v and 702?
13338
Let v = -71 + 101. Suppose 8*w + 22 = v. Let j(o) = o**3 - 2*o + 2. What is the smallest common multiple of j(2) and w?
6
Let u = 100 - 70. Calculate the lowest common multiple of 150 and u.
150
Suppose -q = -4*c - 3 - 20, 3*q = c + 3. Suppose 3*d + 29 = 2*p + 383, 0 = -3*p - 3*d - 516. What is the common denominator of (7/((-63)/p))/c and 70/9?
9
Calculate the lowest common multiple of (1000/(-4))/((-114)/741) and 715.
17875
Suppose -4*p + 3*v + 18 = p, -3*p - 5*v = -38. Calculate the least common multiple of p and (-31024)/11080*((-288)/14 + 2).
156
What is the common denominator of 14*1 - 71016/5368 and -9/13?
793
Let t = -197365/33 + 5980. Let d = 1984/1617 + t. What is the common denominator of -54/7 and d?
49
Let g = -4327283/3203229 - -2/56197. Find the common denominator of -13/264 and g.
5016
Let k = -4715 - -4725. What is the smallest common multiple of k and 116?
580
Let u be -2*(8 + (-4 - 6)). Find the common denominator of (1 + 165/(-92))*1 and 8379/1980 - 6/33 - u.
460
What is the common denominator of (-1311)/(-406) + -2*36/24 and 67/14?
406
Suppose -2*a = -9*a + 147. Suppose a = 5*c - 19. Let i = 6 + -4. Calculate the least common multiple of c and i.
8
Calculate the common denominator of (5/(-180))/((-120)/9144) and 11/4150.
24900
Let s be (-30)/6 + (-6 - -14). Suppose -14*n + s*i = -18*n + 56, i - 37 = -3*n. Calculate the smallest common multiple of 66 and n.
66
Suppose -75 = 4*o - 5*u, 2*u + 62 = -3*o - 0*u. Let l be (35/(-25) + 2)/((-2)/o). Suppose 235 = l*i - 131. Calculate the lowest common multiple of i and 1.
61
Calculate the common denominator of (-1 - (-825)/828)*45/24*12 and -5/176.
4048
Suppose k + p - 51 + 15 = 0, -3*p = k - 36. Let l(c) = 7*c - 220*c**2 + 62 + 217*c**2 - 46*c. What is the lowest common multiple of k and l(-14)?
180
Let n = 1378264/1395 - 988. Let c = n + 9199/2790. What is the common denominator of 27/20 and c?
20
Let j be 1/((-5840)/17502 + 7/21). Let y = -110833/38 - j. Let c = 807/38 - -195/19. Find the common denominator of c and y.
38
Let p(k) = -5*k**3 - 3*k**2 + 2*k - 3. Suppose 16*l - 312 - 552 = 0. Calculate the lowest common multiple of p(-3) and l.
594
Let y(m) = 32*m - 23. Let i(l) = -l**2 - 24*l + 21. Let t be i(-25). Let c be y(t). Let s = c - -375/2. Calculate the common denominator of s and 75/2.
2
Let f = -328149 - -984494/3. Let w = -4309/10 - -430. What is the common denominator of f and w?
30
Let c = 533284/9253015 + -123/1955. Find the common denominator of c and 107/10.
47330
Let y = -3700 - -6112. Calculate the lowest common multiple of 1206 and y.
2412
Let j = 6291 - 6201. What is the least common multiple of 130 and j?
1170
Let j(y) = 17*y - 126. Let m be j(7). Calculate the lowest common multiple of m - -12 - (9/(-1) - -5) and 17.
153
Calculate the common denominator of (-1)/11 + (-2345)/220 and -71/164.
164
Let m = 3/4231 - -291909/42310. Let i be (597 + -4 + 3)/((-33)/(-102)). Let k = i + -1838. Calculate the common denominator of m and k.
110
Let h be 11/121 + 162/33. Suppose -h*j + 4 = -16. Calculate the lowest common multiple of 72 and j.
72
Suppose 12*f = 69 + 651. What is the common denominator of ((-63)/(-35))/(8/f*-3) and 79/182?
182
Let t(r) = 14*r**2 - 11*r - 289. Calculate the least common multiple of 12 and t(-13).
2220
Let l(c) = c**3 + 10*c**2 - c - 8. Let v be l(-10). Let x = -4 - v. Calculate the lowest common multiple of 26 and (30/9)/((-1)/x).
260
Let h = -23 - -48. Calculate the lowest common multiple of 67/(-469) - ((-3)/18 + 4619/(-42)) and h.
550
Suppose a - 16 = -7. Suppose a*y = 28*y - 228. Let m = -5 + 19. What is the least common multiple of y and m?
84
Let k(f) = f**3 + 7*f**2 + 4*f. Suppose -m + g = -19, -2 = -4*g - 10. Suppose -m*n + 26*n = 198. What is the smallest common multiple of n and k(-6)?
132
Suppose -2*k = -2*m - 0*k - 12, -m + 10 = 3*k. Let x be -4 - -1 - (-366 + m). Calculate the common denominator of x/(-231) + 2/(-11) and -25/9.
63
Let w(t) = 4*t**2 - t + 22764. Let o be w(0). Let s = o - 546247/24. Calculate the common denominator of s and 92/105.
840
Calculate the common denominator of -1/6 and (25/(-200))/(355/380).
426
Let c = -6956408671/74980 + 32473205/326. Let b = -34174/5 + c. Calculate the common denominator of b and 5/12.
276
Let s be -1079270*(-596)/(-6688) - (-27)/36. Let k = 96178 + s. Calculate the common denominator of -67/152 and k.
1672
Suppose 48*m + 260*m = 14168. Calculate the smallest common multiple of (-6)/(-4)*88/6 and m.
506
Let r(o) = 53*o**2 + 2*o + 1. Let d be r(-1). Suppose -2*b - 28*b - 1440 = 0. Let t = d + b. What is the smallest common multiple of 12 and t?
12
Calculate the common denominator of -10/297 and (8/60)/(-1) - 31/10.
2970
Let w = 12489 + -10893. Calculate the lowest common multiple of w and 304.
6384
Suppose 7*z + 53 = 6*z. Let v be 2/(-3 - (-85)/29). Let s = v - z. What is the lowest common multiple of s and 16?
48
Let f(o) = 2*o**2 + 11*o - 8. Let h be f(4). Calculate the common denominator of (4 + 48)*(-3)/h and -26/11.
187
Let v = 6454 + -6436. What is the lowest common multiple of -90*(-1)/((-6)/(-4)) and v?
180
Suppose -6328 = -16*t + 3656. Calculate the lowest common multiple of 624 and t.
624
Suppose 279 = 4*c + 207. Let d be 0 + 1 + (5 - 2). Suppose -3*n = -d*n + 10. What is the smallest common multiple of c and n?
90
Calculate the least common multiple of 133 and (132 + -181)/(14/(-4)).
266
Suppose 0 = -2*b + 353 - 349. Let q be 10/(-6)*(-6)/(-2). Let c = -2 - q. Calculate the smallest common multiple of b and c.
6
Let p be (-30326094)/13577624 + 17/(102/12). Let k = -2/27823 + p. Calculate the common denominator of 29/11 and k.
2684
Let g = 14 - 2. Suppose 0 = -b + 9 - 7, 3*s = -3*b + 78. Calculate the lowest common multiple of s and g.
24
Let t = -137 - -121. Let j = -31917/7 + 4552. What is the common denominator of (-2)/(-10)*(t + 45) and j?
35
Let f be ((-126)/(-15))/((-26)/65). What is the common denominator of -41/56 and 2/10 + (f/(-3))/35?
280
Let x = -134 - -14. Calculate the common denominator of ((-19)/10)/(72/30) and (14/8)/(x/(-680)).
24
Let c(d) = 7*d - 32. Let r be c(5). What is the common denominator of (-11)/(-6) + r + -4 and -53/24?
24
What is the lowest common multiple of 9/12*32 + -3 and 297?
2079
Let c(y) = 3*y**2 + 2*y + 2. Let l be c(-1). Suppose -b - 4*i + 5 = 0, -b + 11 = -5*i - l. What is the common denominator of 17/4 and 2/(-16)*596/b?
36
Find the common denominator of 42 + -1 + (-9291195)/229172 and (-4)/72*(-195)/(-2).
636
What is the common denominator of -10*(-170)/(-840) + 2 and (-54)/243 + (-53)/(-90)?
210
Let c = -857 + 1859. Let u = c - 4993/5. Calculate the common denominator of ((-162)/24 - -7) + (-1086)/(-168) and u.
35
Let j = -25 + 24. Let a be (-8)/((-4)/j)*-5. Calculate the lowest common multiple of (-8)/a*(-300)/8 and 27.
270
Let p = 60106889/12 - 5011962. Let j = p + 3050. What is the common denominator of j and (-21*2/(-129))/4?
516
Let c = -557 - -25. What is the common denominator of ((-3)/36)/(3/(-657)) and c/210 + 2/(-3)?
20
Suppose -13*g = 71 + 59. Find the common denominator of 53/42 - (-15)/g and -74/3.
21
Let j(k) = 4*k**3 - 3*k**2 + 3. Let c be j(2). Suppose 5*z - 67 = 3*b, 5*z = -b + c + 28. What is the smallest common multiple of 6 and z?
66
Let w be 1 + 0 + (-2130)/8. Let u be (-7)/(147/(-54))*(-616)/(-6). Let h = w + u. Calculate the common denominator of -11/14 and h.
28
Calculate the lowest common multiple of ((-9)/45 - 1984/(-70))*7 and ((-15)/(-3) - 0) + 0.
985
What is the common denominator of -58/7 and ((-240)/100)/(((-95607)/(-60))/3)?
24787
Let x be (2/(-16))/((-2)/(-54988 + 2)). Let m = -3427 - x. What is the common denominator of 121/18 and m?
72
Calculate the smallest common multiple of (307 - 313) + (-1)/((-2)/152) and 600.
4200