2/5)/(24/(-430))?
42
Let y be -13 - -9 - 6*-1. Let t be (y/3)/((-7)/84). Let k(i) = i + 12. What is the smallest common multiple of k(t) and 11?
44
Suppose 5*c = 4*z + 642, z - 823 = 6*z + 4*c. Let t = z + 429. Let d = t - 190. What is the smallest common multiple of d and 7?
532
Let g = -75288 + 78299609/1040. Calculate the common denominator of g and -51/104.
1040
Let w = -2427 + 2555. What is the least common multiple of w and (1/3)/((-3)/(-18))?
128
Calculate the smallest common multiple of 64 and (-99)/22*(-146 - -18).
576
Let k be (-10 + 7)/(4/((-48)/9)). Suppose 4*z - k = 0, q + 11*z = 14*z + 3. Calculate the lowest common multiple of q and (-84)/(-22) - (-6)/33.
12
Let i(p) = -p**3 + 4*p**2 + 20*p + 21. What is the lowest common multiple of 4324 and i(7)?
30268
Calculate the common denominator of (-4*(-102)/108)/(4*12/18) and -53/12878.
77268
Suppose -5*f + 6 = 5*v - 4, -2*v - 4 = -2*f. Suppose 3*k - 2*p + 63 = f*k, 3*k = 4*p - 185. Let t = -43 - k. What is the least common multiple of t and 34?
272
Let o = -7 - -16. Let h(l) = -29*l - 277. Let a(d) = -15*d - 140. Let r(i) = -5*a(i) + 2*h(i). Calculate the smallest common multiple of o and r(-8).
90
Let r(y) = -316*y**3 - 2*y + 2. Let i be r(1). What is the common denominator of (2/12)/(16/i) and 42/(-1680)*(-54 + 0)?
120
Let y = -10792123/795 + 13575. Let z be (-3 - (-210715)/15900) + -2. Let f = z - y. Find the common denominator of -19/11 and f.
44
Let a = 4515 + -72161/16. What is the common denominator of (-3)/9 + 81/(-18) and a?
48
Let f = -6454249/99972180 + -1/72130. Find the common denominator of 37/924 and f.
2772
Find the common denominator of -157/300 and -190*3/(-12)*207/(-1380).
600
Suppose 11*u + 225 = -14*u. Find the common denominator of -101/12 and 1*(-3)/4*(-146)/u.
12
Calculate the common denominator of (1032/112 - 10)*(-5)/420 and 24/539.
12936
Let g be (-6)/((-30)/(-1055)) + 1. Calculate the common denominator of 195/g*(-1)/1 and -111/14.
14
Let a(q) = -2*q**3 - 26*q**2 + 13*q + 173. What is the lowest common multiple of 482 and a(-13)?
964
Let j(y) = y - 2 + 2*y - 4*y. Let l = -1497 + 1494. Calculate the smallest common multiple of j(l) and 6.
6
Calculate the lowest common multiple of 21 and (3/(-2) - (-16)/16)/((-1)/1206).
4221
Let d = 70 + -68. Suppose 4*y - 172 = -d*r, -3*r - 7*y = -12*y - 280. Let b = -80 + r. Calculate the least common multiple of 20 and b.
20
Let w = 13024/2925 - 8/975. Let t = 9/20 + 141/20. Calculate the common denominator of t and w.
18
Suppose -2*g - 9 = 3*b - 91, 3*b = 6. What is the smallest common multiple of g and 380?
380
Let c = 141 + -372. Let f = -163 - c. Calculate the smallest common multiple of f and 8.
136
Suppose 5*v = 2*r + 242, -4*v - 75 + 263 = -3*r. Let u be (-20)/v - 86518/(-170). Let c = u + -509. What is the common denominator of -27/4 and c?
68
What is the common denominator of 41/78 and (-52)/65 - 11267/(-11115)?
234
Let b be (-268)/(1 + (-252)/248). Suppose -2*r = -4*r + b. Let i = r + -149501/18. What is the common denominator of i and 41/12?
36
Find the common denominator of 79/20 and ((-62)/270)/((-39)/130*112).
22680
Let c = -670/23 + -91085/138. Let w = 688 + c. What is the common denominator of w and -59/668?
2004
Let a = 140 + -131. Suppose -3*o = a*o - 252. What is the lowest common multiple of 18 and o?
126
Calculate the least common multiple of ((-164)/8 + 6)/((-3)/6) and 551.
551
Suppose 7*w = 6*w + 7*w - 4782. Calculate the least common multiple of w and 7.
5579
Let k be (-41)/5*343447/(-130) - -2. Let x = k - 21667. What is the common denominator of x and (0 - 2) + (-37)/(-14)?
350
Suppose 0 = 5*s + 25, 2*s + 0 = -m + 6. Let d = -34 - -39. Let k = 17 + d. What is the least common multiple of k and m?
176
Suppose -10 = 17*r - 44. Suppose 3*f + 36 = 2*c - 33, -4*f = r*c - 76. Calculate the lowest common multiple of 28 and c.
252
Suppose 4*v + 3*j - 37 = 9*v, 0 = 2*j - 8. Find the common denominator of v and -7/1507.
1507
Let q = 22059 - 20255. Calculate the lowest common multiple of q and 1312.
14432
Let h(g) = -7*g + 27. Let d be h(-35). Suppose 9*t = 13*t - d. What is the lowest common multiple of 16 and t?
272
Let a(z) = -z**2 + 25*z - 41. Let v be a(19). Let c = 88 - v. Calculate the lowest common multiple of c and 9.
45
Suppose -4*u + 3476 = 2*w, 5*u + 3*w - 6129 = -1782. What is the lowest common multiple of u and 510?
8670
Let y be (22/15)/11 - (-29999)/30. Let c = 1003 - y. Calculate the common denominator of c and 123/800.
800
Suppose 0 = 147*c - 148*c + 198. Let b = -195 + c. Calculate the lowest common multiple of 159 and b.
159
Suppose 5*a - 4*d = 702, -5*d = -5*a - 2*d + 704. Calculate the common denominator of 18/5 and 2/18*(0 + a + 5).
15
Suppose v - 22 = 2. Calculate the smallest common multiple of v and (-69 + 78)/((-76)/(-32) - 2).
24
Let a = 186206/5 + -37248. Find the common denominator of a and 9/9145.
9145
Let h = -4465 - -169585/38. Calculate the common denominator of (-24)/30*35/18 and h.
342
Suppose -20*d + 63*d - 86 = 0. Suppose 0*p + 40 = 5*p. Suppose -10 - p = -z. What is the lowest common multiple of d and z?
18
What is the least common multiple of 296/12 - ((-4)/3 + 0) and (-414)/(-4) + (-7)/(-98)*7?
104
Suppose -3*x = -740*p + 736*p + 6094, -5*p = -4*x - 7616. Calculate the lowest common multiple of 10 and p.
7640
Let r = -22 - -22. Suppose r = 4*g - 36 - 12. Suppose -1 + g = o. What is the lowest common multiple of 7 and o?
77
Suppose -12008 = 2*q - 12776. What is the least common multiple of 36 and q?
1152
Find the common denominator of -1 + (-3)/(-2) - (17850/(-1080))/17 and -3 - 380/16 - -2.
36
Let f = 607/3 + -185. Find the common denominator of f and -47/15302.
45906
What is the smallest common multiple of ((-33)/(-8))/(2/8)*5494/67 and 11?
1353
Let t(r) = -r - 2. Let p be t(17). Let i = p + 30. Calculate the common denominator of 60/(-8) + -2 + i/5 and 35/8.
40
Suppose -3*d + 5*n - 74 = 126, d - 2*n = -68. Let r = d - -156. Suppose 36*t - 84 = -6*t. What is the lowest common multiple of r and t?
96
Let y(c) = 2*c**2 + 3*c + 4*c + 0*c - 2 + 7. Let n = 290 - 288. Calculate the smallest common multiple of n and y(-7).
54
Suppose -27*s = -33*s - 30. Find the common denominator of 8/15 and (50/36)/((-102)/18 - s).
60
Suppose 0 = -4*y - 5*a + 22, -10 = -3*y + 4*a + 22. What is the lowest common multiple of y and 480?
480
Let q = 1979863/1943892 - -1/71996. Find the common denominator of q and (8/336)/(39/(-65)).
378
Let x = 2431 - 2398. Let c(q) = q. Calculate the smallest common multiple of c(6) and x.
66
Let m = -289809 - -187796165/648. What is the common denominator of m and 47/216?
648
Calculate the common denominator of -44/3 and ((-566)/273 + 2)*(-1988)/(-1278).
351
Let v = 540 + -486. Find the common denominator of 12/v - 7357/(-630) and 69/50.
50
Let v be 35/5*(2 + -1). Suppose -3*z = -v*z + 24. Let i = z - 0. Calculate the least common multiple of 4 and i.
12
Let v(i) = i**2 + 18*i - 1. Let o be v(-18). Let m = o + -58. Let y = -54 - m. What is the smallest common multiple of 19 and y?
95
What is the common denominator of 31/644 and 1 - ((-87)/(-667))/(22/195)?
7084
Calculate the smallest common multiple of (-3010)/630 - (-2)/(-9) - -473 and 198.
5148
Let c = 11487 + -8775. What is the least common multiple of c and 7?
18984
Let c(u) = -u**3 + 18*u**2 - 6*u - 40. Let w(a) = -a**2 - 13*a - 2. What is the least common multiple of c(12) and w(-11)?
3760
Let s = -21870765939 + 9177279578746909/419614. Let l = -12971444201/27504858472 - s. Let o = 1/9364 - l. Calculate the common denominator of o and -87/8.
56
Let g be 30/(-165) + (-4)/(44/(-57)). Suppose -g*x - 159 = -2*j, -3 = 3*j + 6. Let t = -22 - x. Calculate the smallest common multiple of 5 and t.
55
Let u(s) = -2337*s + 1. Let n be u(-1). Suppose 0*q = h + 4*q - n, 2328 = h - q. Find the common denominator of h/(-756) - (-4)/14 and -31/6.
54
Let q = 923 - 24982/27. Find the common denominator of q and 1/15*(-3431)/(-94).
270
Let t = 297 + -295. Suppose 4*u - 25 - 11 = -t*h, 0 = -3*h + 3*u + 90. What is the least common multiple of h and 4?
52
Suppose 0 = -4*s + 8, 3*z - 8*s - 1151 = -6*s. Calculate the least common multiple of z and 55.
385
Let f = 7788 + -15629/2. Calculate the common denominator of f a