and f.
156
Let f = 690 - 1343/2. Let l = 819113 + -8202269/10. Let q = l + 1102. Calculate the common denominator of f and q.
10
Let g be (-330)/(-120) + 3/(-4). Suppose 3*x = 5*t - 106, g*x - 35 = -2*t + 1. What is the least common multiple of t and 20?
20
Let i = 2285 - 2277. What is the smallest common multiple of 1306 and i?
5224
Let s = -1933529711/150 + 12890151. Let z = s - -1216/25. Calculate the common denominator of 67/24 and z.
120
Let n(h) = -7*h**2 + 8*h**2 - 4*h - 21009 + 21006. Let r be (-32)/(-6) + 2/(-6). What is the smallest common multiple of 1 and n(r)?
2
Suppose 0 = -3*r + 5*r - 1556. Let b = -4555/6 + r. Find the common denominator of b and 81/56.
168
Let y(a) = 6*a**2 - 2*a + 170. What is the smallest common multiple of 45 and y(0)?
1530
Let t = -335729/891 + 2261/6. What is the common denominator of 103/1782 and t?
1782
Let k(g) = 39*g**2 - 4*g + 5. Let c(u) = -u**2 - 10*u - 20. Let z be c(-7). What is the lowest common multiple of k(z) and 15?
120
Let m = -12919 + 15779. Calculate the smallest common multiple of m and 780.
8580
Find the common denominator of ((-99)/84)/((540/35)/6) and (-217)/30 + 14/42.
120
Let t be (-5)/((-11)/18 + (-6)/27). What is the common denominator of 2/(t/5)*3861/1144 and 99/112?
112
Suppose -5*w + 171 = -149. What is the common denominator of -97/130 and 148/24*w/(-624)?
1170
What is the common denominator of -4*(-60)/96*5/(-4) and -31/1445?
11560
Let z = -17253 + 414203/24. Find the common denominator of z and 2 + ((-4)/96)/(-1).
24
Find the common denominator of 0 + (-54091)/(-20202) + 688/(-258) and -113/12.
40404
Suppose 0 = -28*y + 40316 - 40120. Calculate the least common multiple of y and 7439.
52073
Let b(w) = -w**3 - 26*w**2 + w + 1040. Calculate the smallest common multiple of 858 and b(-26).
11154
Suppose -2*c + 54 = -2*b, 14 = -3*b + 23. Let a(f) = 4*f**2 - 2*f. Calculate the lowest common multiple of c and a(3).
30
Find the common denominator of (((-356)/1329)/(-2))/(13 + -1) and -67/10.
39870
Let f = 16/1463 - 119975/134596. Calculate the common denominator of f and 113/552.
552
Let r be 12/18 + (-572)/(-6). Suppose -34*h + 17*h = -459. Suppose 2*z - 3*l - h - 57 = 0, 3*z + 3*l = r. What is the lowest common multiple of 16 and z?
144
Let i(j) = j - 2. Let o = -228 + 241. Suppose 29*t - 16 = o*t. What is the lowest common multiple of i(5) and t?
3
Let f = 36 - 26. Calculate the common denominator of -1 + 1 + 522/(-12) and (-8)/2 + 101/f.
10
Let m = 755 + -1100. Find the common denominator of (12/(-30))/((-123)/m) and -4/5.
205
Suppose 15 - 1 = 2*v + 2*a, -4*v + 18 = 2*a. Let q = -419 + 338. What is the lowest common multiple of v and (351/q)/((-2)/6)?
26
Let m = 8 + -125. Let x = -189 + 340. Let k = x + m. What is the smallest common multiple of k and 14?
238
Suppose -64*p = -5787 - 6693. Calculate the least common multiple of p and 780.
780
Let o(d) = d**3 - 10*d**2 + 36*d - 136. What is the smallest common multiple of o(14) and 352?
12672
Find the common denominator of (75/(-160))/((-81)/108) and -7/984.
984
Let k(a) = -a**3 - 2*a**2 + 4*a + 5. Let w be k(-4). Let b(o) = -o**3 + 21*o**2 - o + 42. Calculate the lowest common multiple of b(w) and 30.
210
Let g be (-36)/66 - (-11769100)/44. Let x = -81313689/304 + g. Find the common denominator of 14/5 and x.
1520
Let b(g) = 5217*g**3 + 3*g**2 + 5*g + 2. Let a be b(-2). Let r = a - -1252121/30. What is the common denominator of -30 and r?
30
Let v(x) = 9*x - 1. Let j be (40/(-10))/(-1 - (-3)/4). Suppose -j = 4*p - 5*l, -2*p - 10 = -2*l - l. What is the smallest common multiple of 6 and v(p)?
24
Let o = 64999 + -9749783/150. Find the common denominator of o and 1/2925.
5850
Find the common denominator of 117*((-8)/(-10) + 50/(56000/(-924))) and 2/2 - (-66)/(-35).
280
Let z = 198871 + -65627593/330. Calculate the common denominator of (318/(-80))/(19/95 + 1) and z.
2640
Let s(z) = -10 + 13 - 54 + 13*z. What is the lowest common multiple of s(5) and 7?
14
Suppose 3*l - 3*h = -3, -3*h = -4*l - 2 + 1. Suppose 214 = 4*c - l*w, 0 = -4*c - 4*w - w + 179. Let i = 67 - c. What is the least common multiple of i and 10?
80
Suppose 6*z - 4*v = 2*z + 28, 3*z + 3 = -5*v. Let f be (4/14)/(z/28). Calculate the lowest common multiple of 8 and (-7 - -5) + (9 - f).
40
Suppose -42*j + 236 + 604 = 0. What is the lowest common multiple of ((-5)/j)/(7/(-1848)) and ((-14)/(-3))/((-1)/(-3))?
462
Suppose n + 1 = 0, 0 = 6*p - 8*p - 5*n - 17. Calculate the smallest common multiple of 12 and (-1)/(1 - p) - 2019/(-21).
96
Let k = 33783006 - 709225690/21. Let x = 10357 - k. Find the common denominator of x and (-514)/(-21) - (-16)/(-112).
21
Suppose -186*q + 1137 + 909 = 0. What is the lowest common multiple of q and 125?
1375
Let p(c) = -c**3 + 37*c**2 + 36*c + 106. Calculate the smallest common multiple of ((-162)/12)/(3/(-8)) and p(38).
180
Let g be 30/15*(-2)/1. Let w be (2/(-12) + g/(-8))*12. Suppose -3*h + 68 = w*m + h, 3*m - 39 = h. What is the smallest common multiple of m and 20?
140
Let c be 19*(421/(-420) + 1). Let p = 3609846 - 1516136219/420. Let m = p - c. Find the common denominator of -14/15 and m.
105
Let a be (-534)/(-10) + -1 - 40/100. Suppose -a = -3*x - 37. Suppose 277 + 278 = x*p. What is the lowest common multiple of p and 11?
1221
Let d = 560279889 - 1801299882059/3215. Let x = d - -9/1286. Find the common denominator of 7/1600 and x.
1600
Let f(n) = -102*n**2 - 887*n - 14. Calculate the smallest common multiple of f(-7) and 21.
1197
Let j(h) = -h + 12. Let n be (3 + 0 + 4)/(-1). Let v = n + 9. Calculate the least common multiple of 2 and j(v).
10
Suppose -361*u - 15 = -362*u + j, -4*j = 3*u - 80. What is the lowest common multiple of u and 1636?
8180
Suppose -62*h + 162 = -53*h. What is the smallest common multiple of h and 429/4 + 18/24?
108
Let u = -91/2 + 195/4. Let p = -176/481 + 5/37. What is the common denominator of p and u?
52
Let f(p) = 2*p**3 - 6*p**2 + 5*p - 1. Let a = 44 - -152. Suppose -3*r + 229 - a = 0. What is the smallest common multiple of f(4) and r?
561
Let l = -12357 + 4281. Let h = 85/2 - 35. Calculate the common denominator of h and l/(-840) - 4/(-14).
10
Find the common denominator of (-32)/2448*-17 - (1 - 15982/21798) and 25/56.
9688
Suppose -5*c - 8 = -9*c. Suppose -c*q = -2*o - 4, -q - 3*q = 2*o - 32. What is the smallest common multiple of q and 42?
42
Let l(t) = -t**3 - 97*t**2 - 194*t - 305. What is the least common multiple of l(-95) and 33?
825
Let u(f) = f**2 + f**2 - 6 - f**2. Let t(l) = 133*l - 269. Let b be t(2). What is the least common multiple of u(b) and 6?
6
Find the common denominator of 71/183 and ((-2)/10)/((-2496)/(-77480)).
1464
Suppose 0 = -f - 2*r + 37, 20 = -3*f + 2*r + 91. Calculate the least common multiple of (-404)/(-5) - 12/(-60) and f.
81
Let f = 753 - 747. Calculate the common denominator of 4/14 + (-139)/(-28) and (f/(-15))/((-6)/(-25)*1).
12
Let l = -4281 + 25693/6. Find the common denominator of -29/21 and l.
42
Let c = -9808 - -11113. What is the smallest common multiple of 145 and c?
1305
Suppose 32*b = 34*b - 6. Let c = -9320 + 93113/10. What is the common denominator of (3 - b - -3)*(-198)/77 and c?
70
Suppose 3*n - 5*w - 1478 = 0, 6*n - 979 = 4*n - 3*w. Let q = n + -485. Calculate the least common multiple of q and 20.
60
Let w = -13516 + 4649497/344. What is the common denominator of 2 + 0 + (-153)/(-30) and w?
1720
Let a = -5507/324 + 20/81. Let r be (2 - 18/3) + (-656)/(-140). Let w = r - -849/140. What is the common denominator of a and w?
4
Let w = 3329 + -722454/217. What is the common denominator of w and 49/248?
1736
Suppose -h - 297 = -270. What is the smallest common multiple of 102 and ((h/4)/(-9))/(7/140)?
510
Let o be (-1*1)/(2/(-8)). Suppose 82 = 3*u - 5*r - 19, o*u = 4*r + 132. Let y = -220 - -224. What is the lowest common multiple of u and y?
32
Suppose 5657 = -19*u + 5809. What is the smallest common multiple of 174 and u?
696
Let x be 149721/(-37431) + 2*(-2)/(-1). Let z = x - 101204/20795. Let n = -220871/30 - -7365. What is the common denominator of z and n?
30
Let j be (397/(-399) - -1)/((-4932)/1746495). Let y = -222/133 - j. Calculate the common denominator of y and 49/22.
3014
Suppose 41*g - 5746 = 4586. What is the lowest common multiple of 63