19 - -21. Suppose -q*i = 4*i. Suppose 20*g - 24*g + 24 = i. Calculate the lowest common multiple of 2 and g.
6
Let x = -889/9 - 1610/9. Let r = 290 + x. What is the common denominator of 116/30*(1 - (-3 + -1)) and r?
3
What is the common denominator of 93/328 and ((-585)/(-30) - -7)*(2/533)/1?
4264
Let z = 135523/14 + -214667767/22176. Calculate the common denominator of -65/2112 and z.
6336
Let a = 464/2057 + -223359/1655885. Find the common denominator of a and -26/45.
7245
Suppose -4*a - 5*c + 236 = -16631, -2*c - 2 = 0. Calculate the lowest common multiple of a and 16.
33744
Let o be (-24)/(-16) - 538010/78093. Let v = o + 4/8677. Let r = -193881/140 - -9728/7. Calculate the common denominator of v and r.
180
Suppose 3*d = -5*n + 3 + 18, d = -3*n + 11. Suppose -d*q - 129 = -3*t - 3*q, 5*q + 111 = 3*t. What is the lowest common multiple of 6 and t?
42
What is the lowest common multiple of 7508 and 2 - (-3 - ((-52)/(-18) + 6/54))?
15016
Let h = 47 + 102. Suppose -3*a - 49 = -5*t, 24*a + 57 = 5*t + 20*a. What is the lowest common multiple of h and t?
745
Let v = -7 + 7. Suppose r - 22 = -v*r. Let t = 5172 + -5136. What is the lowest common multiple of t and r?
396
Calculate the common denominator of -21/16 and (-17)/((-187)/(-2)) + (-66596)/(-335544).
61008
Calculate the least common multiple of 414 and 25380/987*(-7)/(-2).
2070
Find the common denominator of 1058310/(-210760) + -10*(2 - 10/4) and -73/8.
3832
Let o = -6441 + 6985. Calculate the smallest common multiple of 68 and o.
544
Let d(r) = -r**2 + 4*r - 4. Let g be d(1). Let h(p) = -9*p**3 + p. Calculate the lowest common multiple of h(g) and 10.
40
Let d = -68857 - -7849805/114. Find the common denominator of 41/209 and d.
1254
Let v = -148 - -252. Let o = -40285 + 40295. Calculate the smallest common multiple of o and 2/(-3) + v/12.
40
Let m(r) = 277*r + 2180. Calculate the smallest common multiple of 148 and m(-6).
1036
Let g = 192495 - 69298361/360. Calculate the common denominator of g and 43/40.
360
Suppose 0 = s - 7*s + 246. Suppose -2*j + 7 = -s. Suppose 0 = -5*f + 4*f + 36. Calculate the lowest common multiple of f and j.
72
Let s = 1426499/7308 - 5469/28. Find the common denominator of s and 85/126.
3654
Let u be 8/(-7) - (-72)/14. Suppose -426 = -4*j - 3*d, 0 = -5*j - u*d + 481 + 52. Calculate the smallest common multiple of 8 and j.
840
Let z be (-3)/7 + 93/21. Suppose -z*v + 7*v = 36. What is the least common multiple of v and 8?
24
Calculate the common denominator of (-78)/(-20) - 4*(-9)/42*-7 and -43/5228.
26140
Suppose -41 + 9 = -4*r. Suppose -3*h - 162 = -4*d, 85*d + 78 = 87*d - h. Calculate the least common multiple of r and d.
72
Suppose -13*i = -4*i + 4239. Let u = -387 - i. What is the smallest common multiple of u and 7?
84
Suppose -m + 13 = 4*j - 17, m + 2*j - 26 = 0. What is the lowest common multiple of m and 594?
594
Let f(d) = 630769*d - 60. Let a be f(19). Let o be a/396 - -2 - 4/18. Let p = 30264 - o. What is the common denominator of p and -31/20?
220
Let s = -284404 - -284518. Let y = -2 - -6. What is the least common multiple of y and s?
228
Let m be 620/(-50)*(-30)/12. Let p = 69 - 3037/44. Find the common denominator of p and (-45)/(-64)*(m + -33).
352
Let c be (-1)/3 + 855/(-27). Calculate the common denominator of (-45)/12 - (-3 - -4) and 4/(c/(-188)) - -3.
4
Let n = 84 + -40. What is the least common multiple of n and 80?
880
Suppose -3 = -i - 3*w - 9, -34 = -i + 5*w. Suppose -8*m = -41 + i. Let d = 19 + -3. What is the least common multiple of m and d?
16
Let c = -57213/4 - -13877. Let q = 13875601/16 - 866805. Let h = q + c. Calculate the common denominator of h and -7/8.
16
Suppose -487 = 5*o + 2*n, -2*o - 5*n + 383 = -6*o. Let u = 100 + o. What is the smallest common multiple of 10 and u?
30
Suppose 3*y + 326 = 332. Suppose -3 = 3*u, -g + y*u + 23 = -3. Suppose 3 = m, -2*m = -2*a - a + 12. What is the smallest common multiple of a and g?
24
Let l = -1628073/61 - -26688. Let i be ((-4)/20)/(2318/32455). Let n = l - i. Calculate the common denominator of n and 59/2.
38
Find the common denominator of 27/(-72) - ((-104)/56 + 3) and (708/112)/(6/(-4)).
56
Let r be -2 + (-2)/(-1) + -912. Calculate the common denominator of (-105)/(-16)*(-6)/(-18) and (-694)/r - (-16)/128.
912
Let g(y) = -y**3 - 16*y**2 - 20*y - 74. Let c be g(-15). What is the lowest common multiple of 18 and (c - 1) + -10 + 154?
144
Suppose -77*a + 92*a - 465 = 0. Let f = 6 - 4. Suppose -f*p + 16 = -0*p. Calculate the least common multiple of p and a.
248
Suppose -958 + 644 = -261*w + 1252. What is the lowest common multiple of w and 814?
2442
Let s = 59765/53196 + -236/403. Calculate the common denominator of 143/252 and s.
2772
Let m = -4661 + 7807. Let w = 31553/10 - m. Let k(n) = -n**3 + 4*n**2 + 6*n - 2. Find the common denominator of k(6) and w.
10
Suppose 2*s + 3*s + 15 = 0, 97 = 4*t - 3*s. Let n be (-26)/t - (35/(-11) - -3). Calculate the common denominator of 87/4 and 31/(-20)*(1 + (n - 1)).
20
Let p be 232/(6 - 2) + -1. Let h(j) = 4*j**2 + 8*j + 4. Let k be h(-4). Suppose -3*t - k = -p. What is the least common multiple of 6 and t?
42
Let m(r) = -r**3 - 4*r**2 + 51*r + 38. What is the least common multiple of 4 and m(-14)?
1284
Let k = 457741/75010 + -18/7501. Let x be ((-5)/(-14))/(1/3186). Let a = x - 1133. What is the common denominator of k and a?
70
Let k = -151716/29 + 18775328/3567. Let v = k + 5558/3075. Let g = v + -16603/450. What is the common denominator of -1/3 and g?
18
Let o = -6724779/9164848 + -1/119024. Find the common denominator of -121/252 and o.
2772
Suppose -v + 3*a = -27, v - a = 4*v - 101. Let g = 77 - v. Calculate the common denominator of g and 34/(-16) + (-12)/6.
8
Suppose 0 = -20*q + 25*q - 10. Suppose -q*j = -j + 5*n - 22, -5*j - 4*n = -110. What is the least common multiple of 3 and j?
66
Let d = 335975/46 - 7303. Let j = 632/1605 - 2715611/2140. Let w = j + 1266. Find the common denominator of w and d.
276
Let n(h) = -h**2 - 10*h + 2. Let a be n(-14). Let x = 150 - 60. Let o = x + a. What is the lowest common multiple of 2 and o?
36
Let h be 1 - 58/18 - 46/(-207). Let w be 7/h*16/(-14). Calculate the lowest common multiple of (16 + 4/w*4)/1 and 12.
60
Suppose -4*f + 1378 = -5*x, -1372 = -4*f - 3*x + 5*x. Let k = f - 276. Calculate the lowest common multiple of k and 3.
66
Find the common denominator of -23 + -7*(-43927)/14322 and 2/(-7)*(-2)/22.
462
Calculate the common denominator of 69/10244 and -3*(-52)/(-36) + 21/252.
10244
Find the common denominator of 420/1344*(-38)/(-70) and 25/392.
784
Let w be (3 - 6) + 675/147. Let s = 2/245 + w. Find the common denominator of s and -103/12.
60
Let a = 58844/5649 - 1/22596. Calculate the common denominator of a and 74/1497.
5988
Let y = 735 + -731. What is the smallest common multiple of 720 and y?
720
Calculate the common denominator of 2/216*(-7644)/6272 and 103/3744.
14976
Let a(q) = -6*q**2 + 122*q - 47. Let j be a(20). Find the common denominator of 2/(-5) + 268/45 and (-47)/7*(j/(-6) - 0).
18
Suppose 0 = -3*m + 4*c + 25, 3*m + 3*c - 2 + 5 = 0. What is the least common multiple of 2/2 + (m - 1) and 80/15 - 114/(-171)?
6
Let j = 152833971/7713251452 + 1/3969764. Find the common denominator of j and -111/22.
42746
Let x = 10879 + -7658. What is the least common multiple of x and 9?
28989
Let i = 1128485 - 1388036689/1230. What is the common denominator of -139/4510 and i?
13530
Let a(j) = -361*j**3 + j**2 - 7*j - 15. Let r be a(5). Let y = r - -1806111/40. What is the common denominator of 83/8 and y?
40
Calculate the least common multiple of ((-12)/(-16))/(216/71424) and 964.
59768
Let t = 25084 - 24258. What is the least common multiple of 59 and t?
826
Let i(f) = 23*f - 17. Let u = -142 + 145. What is the lowest common multiple of i(u) and 40?
520
Let q(x) = -x**2 + 16*x + 4. Let l be ((-1)/(-1) - -13)*40/16. Let c be l/10*8/2. What is the lowest common multiple of 40 and q(c)?
160
Let u = -105 + 106. Calculate the common denominator of -53/34 and (-602)/(-308) + 3/u.
374
Let k(p) be the first derivative of -p**3/3 + 11*p**2/2 + 12*p - 17. Calculate the smallest common multiple of (-4)/(4/(-31)) - -2 and k(11).
132
Let i = 561 - 528. Calculate the least common multiple of 1176 and i.
129