Find the common denominator of 47/75 and ((-8)/16)/((-2000)/220).
600
Suppose 181 - 2161 = -90*z. Calculate the lowest common multiple of z and 15.
330
Find the common denominator of -13 + 712*(-8)/(-640) and -62/5.
10
Suppose 3*x + 2*i + 363 = 5*i, 2*i + 254 = -2*x. Let m = x - -127. Calculate the lowest common multiple of 12 and m.
12
Let a(g) = -g**3 + 9*g**2 - 3*g + 16. Let m be a(8). Let d be ((-78)/(-56))/(32/m). Let f = 95/32 - d. Find the common denominator of -99/16 and f.
32
Let s(b) = -2*b**2 - b + 24. Let v be s(-4). What is the common denominator of v/(-8176)*7*110 and (-596)/16*(-2)/(-3)?
438
Suppose -5*u - 235 = -4*b, 5*u = 2*b - 7*b + 305. Calculate the least common multiple of ((-1175)/940)/(5/(-24)) and b.
60
Suppose -2*d - 554 = 4*h + 502, 2670 = -5*d + 5*h. Let o be (-1 - 3395/(-235))*d. Let s = o - -7154. What is the common denominator of -11/2 and s?
94
Calculate the common denominator of (218/(-3815))/(900/(-7)) and 83/60.
4500
What is the least common multiple of (-5560)/(-800) - 4/(-80) and 441?
441
Let s be (-1)/(770/390 - (3 + -1)). Suppose 88 + 2447 = s*a. What is the smallest common multiple of 65 and a?
65
Find the common denominator of (34 - 35)/((-552)/(-989)) and (151/4)/(2 - -1).
24
Suppose u = 1, -4*i - 167 = 5*u + 2656. Let k = -277 - i. Calculate the common denominator of 125/6 and k/150 - 2/3.
30
Let c(a) = -a**3 - 9*a**2 - 9*a + 7. Let z be c(-5). What is the common denominator of (-8 + 2)/z*122/6 and (-76)/54 - (-6)/3?
216
Let i = 178 + -162. Let q(u) = u**2 - 4*u + 3. What is the least common multiple of i and q(7)?
48
Let l(m) = m**3 - 12*m**2 + 13*m - 2. Calculate the least common multiple of l(11) and -2*((-7 - -4) + -3).
60
Let w = -17 - -43. Let f = w + -22. Suppose 0 = -4*g - 8, f*z + 0*g = 2*g + 44. Find the common denominator of z and 68/3.
3
Let m = -14797 - -15936. Calculate the lowest common multiple of 187 and m.
12529
Let n = -6945 - -7080. Calculate the lowest common multiple of 18 and n.
270
Let f = 2651/45 + -274/5. Let c = 104 - 259. Calculate the common denominator of f and 9/(-7 + c)*-76.
9
Calculate the common denominator of (-1478)/(-6920) - (-111)/(-444) and 47/10.
1730
Suppose 125*i - 127*i = 4. What is the least common multiple of 6 and (6 + -5)*i + 47?
90
Let b = 593 - 589. Suppose -j - 7 = -b*m, 35*j - 31*j = 3*m - 2. Calculate the smallest common multiple of m and 20.
20
What is the lowest common multiple of 1008 and ((-56)/21*-2)/((-8)/(-3192))?
19152
Calculate the common denominator of 33/626 and 1 + (-12)/(-16) + (-121096)/70112.
4382
Let j(c) = -c**3 + c**2 - c + 17. Let x be j(0). Let f(n) = -5 + 7 - 19*n + x*n. What is the lowest common multiple of 12 and f(-1)?
12
Suppose 8*b = 6*b - 4*k + 7624, 2*b - 5*k - 7660 = 0. What is the lowest common multiple of b and 110?
42020
Let a = 8514453/77 + -110579. Let l = -7492025/629244 - 2840/14301. Let j = l - a. Calculate the common denominator of -71/52 and j.
156
Let n(t) = -t**3 - 4*t**2 - 17*t - 164. Let w = 15 + -1. Calculate the lowest common multiple of (-23)/(-7) + (-4)/w and n(-6).
30
Let g(r) = -5*r**2 - 350*r - 230. Calculate the least common multiple of g(-68) and 45.
450
Let c = 24803907/308 - 80532. Calculate the common denominator of 17/308 and c.
308
Find the common denominator of (0 - (-2 - 22/(-8))) + 216/(-252) and -83/315.
1260
Suppose -p = 2*p - 2*s - 12020, 4008 = p - s. What is the smallest common multiple of 6 and p?
12012
Let t = 2387837 - 107448046/45. Let q = -23409/220 + 9/44. Let l = q + t. Find the common denominator of 39/11 and l.
99
Let q = 38327/6 - 6402. Let i = 322 + -337. What is the common denominator of (-138)/i*20/(-160) and q?
60
Suppose 0 = -4*q, -4*x - 2*q + 0*q = -96. Suppose x = -i - 144. What is the common denominator of 157/30 and (4/10)/(i/(-132))?
210
Let t be 3/12 - (-1 + 798/27). Let n = 191/9 + t. Calculate the common denominator of -13/10 and n.
60
What is the least common multiple of 16 and 1*(-16677)/(-6) - (-15)/(-10)?
22224
Let s be -2 + -3 + (-31188 - 13). Let z = s - -1123531/36. What is the common denominator of z and -19/51?
612
Let u(p) = -2179*p + 25. Let r be u(1). Find the common denominator of 4/(-22) + r/(-352) and ((-2)/(-5))/(8/210).
16
Let g be -10 - 2/(18/1125). Let k = 22 + 8. Calculate the lowest common multiple of g/54*28/(-10) and k.
210
Suppose -5*g = -2*q + 13 - 155, 4*q + 5*g = -314. Let k = 119 + q. Let a = -20 + k. Calculate the smallest common multiple of a and 3.
69
Let m(c) = -c**3 + 3*c**2 + 12*c - 11. Let a be m(5). Find the common denominator of 58/9 and (8/36)/(a/12).
9
Let a(v) = -v**3 - 28*v**2 - 93*v - 493. What is the lowest common multiple of a(-26) and 1146?
1146
Suppose -67*n + 65*n = -6. Suppose 2*g + 4*s = -2, s - 16 = -5*g - n. What is the least common multiple of g and 79?
237
Let l(y) = -y**3 + 26 - y**2 - 2*y - 2*y**2 - 12 - 11. Calculate the smallest common multiple of 3 and l(-4).
27
Let l = -3971/21 + 84633/448. Calculate the common denominator of -23/192 and l.
192
Let k = -9848/9 + 78367/72. Let n = 7605953/32 + -237685. What is the common denominator of n and k?
96
Let k(s) = 51*s - s**2 - 33*s - 31*s + 10. Suppose 0*x + 5*a - 14 = -3*x, 32 = 5*x + 4*a. What is the smallest common multiple of k(-10) and x?
40
Let j = 6569 + 8810. Let f = j + -1076487/70. Find the common denominator of f and -31/7.
70
Let h(v) = -8*v - 2. Suppose -20 = 5*j - 5, -2*s = 4*j + 16. Suppose 10 = 2*f - 6. What is the least common multiple of f and h(s)?
56
Suppose 37*j - 28*j - 54 = 0. What is the smallest common multiple of (203/87)/(2/j) and (-1)/4 - (-58)/8?
7
Let y = 362 + -357. Suppose -h = 4*x - 27, -3*h + h - x + 26 = 0. What is the smallest common multiple of y and h + 3*2/(-2)?
40
Let q = 18763 + -18751. Let y(n) = 164*n**2 - 2*n - 1. Calculate the least common multiple of q and y(-1).
660
What is the common denominator of ((-2616)/63)/8 - -2 and (-149328)/(-15606) - (10 + 1)?
357
Let q = -1976/5 + 31491/80. What is the common denominator of -63/12100 and q?
48400
Let l be ((-1 - -248) + -1)*-1. Let z = 3677/15 + l. Let f = -949/30 + z. What is the common denominator of 50/7 and f?
14
Let r = 10387 + -10366. Calculate the lowest common multiple of r and 2214.
15498
Let h(p) = -4*p + 4. Let x be h(2). Suppose 8*m = 7*m + 4*g + 15, -4*m = 5*g - 18. What is the common denominator of -20/79 and 21/10*(31/m + x)?
790
Let f = 395 + -392. Suppose 49*i - 3*t = 44*i + 140, -f*t = 0. Calculate the least common multiple of 136 and i.
952
Let m(y) = 19*y**3 + y**2 - 7*y + 24. Let c(q) = -6*q**3 + 2*q - 8. Let u(g) = 7*c(g) + 2*m(g). Calculate the least common multiple of 28 and u(-2).
224
Let i = -621 + 625. Calculate the lowest common multiple of 25 and -4*i/12 - (-1926)/27.
350
Let n = -373817/576 + 5840/9. What is the common denominator of n and -29/18?
576
Let d be 4*(-22)/(-18) - 6/(-54). Suppose -4*w + t + 0*t = -37, d*w = 2*t + 44. Calculate the lowest common multiple of 494 and w.
2470
Let w = -557835/460564 + -3/8857. Let k = w - 20/13. What is the common denominator of -19/16 and k?
16
Suppose -g + 39*l - 36*l = -156, 4*l = -2*g + 332. Suppose -152*c + g*c - 960 = 0. Calculate the lowest common multiple of 15 and c.
480
Suppose 0 = -25*b + 30*b - 3*w - 23304, 2*b - 9336 = 3*w. What is the lowest common multiple of b and 36?
13968
Calculate the smallest common multiple of ((-308)/(-5) - 5) + 12/(-20) and 400.
2800
Let v be 11/((-44)/24)*1. Find the common denominator of 45/49 and 270/(-28) + v + 7 - -2.
98
Suppose -14*p + 97 + 15 = 0. Suppose f = -5*n - 24, 4*f + 0*n - 2*n = -p. What is the common denominator of -4 + (-299)/(-40) + f and -127/36?
360
Let i(b) = -b**2 - 17*b - 65. Suppose 2*f - 4*t = 8 - 50, -3*t = -f - 26. Calculate the least common multiple of 9 and i(f).
9
Let l = -92 - -178. Let p = l - 71. What is the smallest common multiple of 15 and p?
15
Let k be 2/((-1284)/645 + 2). Let y = 5807/27 - k. What is the common denominator of (13 + 2)/270*64 and y?
27
Let c = -165 + 281. Find the common denominator of 98*((-463)/c + (-16)/(-4)) and 41/8.
232
Let a be (-2)/((-4)/38) - -2. Calculate the common denominator of 4/(-42) + (-323685)/24570 + 11 and ((-121)/(-2) + 1)/a.
182
Let r = -2/275268869 + 2111587497319/443182879090. Let