8
Let h(a) = 12*a - 234. Calculate the least common multiple of h(21) and 122.
1098
Suppose 9 = 2*g - 1. Suppose 3*k - 35 = -w, k = -5*w + 173 - 54. Let p = w - g. What is the least common multiple of 20 and p?
180
Suppose -23*l + 21 = -30*l. Let y = 1/586 - 15845/13478. Find the common denominator of (15/((-90)/438))/(l*1) and y.
69
Let v(x) = -x**3 + 6*x**2 - x - 7. Let r be v(4). Let t = r + 6. Suppose 4*w = -16, 4*b = 4*w + 14 + 38. Calculate the least common multiple of t and b.
27
Let g be (-5 + 56/12)/((-176)/(-10443)). Let q = 210/11 + g. Calculate the common denominator of 33/8 and q.
16
Let m(s) be the first derivative of -s**3/3 + 9*s**2/2 + s + 467. Let r(a) = a**2 - a + 2. Let d be r(3). What is the smallest common multiple of m(d) and 16?
144
Let a be (-1 + 6/9)*-21. Calculate the common denominator of 732/(-84) + 12/21 and 1*(7/10)/a.
70
What is the common denominator of (((-2)/56)/(27/780))/(354/(-7)) and 69/2?
3186
Let r = 364751/424632 + -1/141544. What is the common denominator of 2/4 + 118/(-42) and r?
546
Let c = -3465 - -3773. Calculate the least common multiple of 220 and c.
1540
Let f be -1*(8 + -5 + -4) - -13. Suppose -u = -x + 1 - f, -2*x = -4. Calculate the least common multiple of 120 and u.
120
Let v = 108742249/442 + -246023. Calculate the common denominator of 11/51 and v.
1326
Let i = -110197/12 - -9183. What is the common denominator of -4 - -2 - 1347/(-882) and i?
588
Let n = 29 + -29. Suppose n = -3*t - 78 - 111. Let z = t - -294/5. Calculate the common denominator of z and 31/29.
145
Suppose 5702 = -17*c + 5770. What is the least common multiple of c and 1307?
5228
Suppose -12*w - 25 = -265. Calculate the common denominator of -1*(-630)/w + 8 and 95/(-672) + 2/(-7).
96
Suppose 5*i + 0 = 20. Suppose 2*v - 5*z = 30, 2*v = -3*z - 0*z + 14. Suppose -72 = o - v*o. What is the smallest common multiple of i and o?
8
Let d(q) = -9*q + 64. Let f be d(7). Calculate the lowest common multiple of 60 and (-374)/(-33) - f/3.
660
Suppose -3*h - 3*m + 351 = 0, 2*m + 450 = -154*h + 158*h. Calculate the least common multiple of 6 and h.
114
Let l = -224291/20 + 11217. Let h = 4846 - 96973/20. What is the common denominator of h and l?
20
What is the common denominator of -149/6 and 3 - 7/(50778/22555)?
558
Let b = 7804 - 62341/8. Suppose 0 = -4*j + 11*j + 3101. Let f = j - -2206/5. Find the common denominator of b and f.
40
Suppose 0 = 5*q - 3*q - 40. Suppose 7*w - 293 = -83. What is the smallest common multiple of q and w?
60
Let j = -39 + 75. What is the smallest common multiple of j and -3 + (-144)/((-10)/5)?
828
Find the common denominator of -61/3678 and (-4)/(48/(-98))*(-286)/(-182).
3678
Let g(x) = -x**3 + 10*x**2 + 5. Let i be g(10). Let f be i/((0 + -3)/3). Find the common denominator of -87/16 and (-4 + (-10)/(-4))*f.
16
What is the common denominator of 6 - ((-309675)/62220 + 11) and 9/40?
41480
What is the common denominator of 27/2170 and 15/(-42)*(-3 + (-178)/(-25) + 0)?
2170
What is the lowest common multiple of 450 and (-15)/(7 + -2)*300/(-5)?
900
Let y = 401693/492 + -3267/4. Find the common denominator of -37/41 and y.
123
Let i = 21 + -11. Suppose -r + i = -5*z - 3, 3*r + z - 55 = 0. Calculate the smallest common multiple of ((-1)/(-3))/(r/648) and 12.
12
Let x(g) = g**2 - 7. Suppose 0 = 3*n + 3*s - 6, n - 5*s + 4*s = 6. Suppose 0 = -n*k + 11 + 1. What is the lowest common multiple of x(k) and 4?
4
Let g = -6259346/13 - -481193. Let s = -90853/312 - g. Find the common denominator of s and 29/10.
120
Let y = 22259/693 - 711/22. What is the common denominator of y and -5/1701?
3402
Let o = -42/79 - -4271/158. Let f = 296603/10483718 + 1/98903. What is the common denominator of f and o?
106
Let h = 521/8 + -61. Let b = 734/5 - 136. Calculate the common denominator of b and h.
40
Suppose 23 = 3*n - 26*n. What is the least common multiple of (-13 - n)/((-46)/115) and 15?
30
Find the common denominator of 13/435 and (-37)/851 + 1520/(-10005).
435
Let t(g) = -g + g**2 - 2*g + 24 + 4*g. Suppose -30*f - 18 = -410 - 58. What is the smallest common multiple of t(0) and f?
120
Let t be (-14000)/(-90)*12/(-45). Let j = 26287/594 + t. Find the common denominator of j and 29/4.
44
Suppose 13*l = 6*l + 861. Let j = -553 + 557. What is the smallest common multiple of l and j?
492
Suppose 6*p + 190 = -13*p. Let f = 10048139/188 - 53447. Calculate the common denominator of f and ((-604)/(-36))/(p/(-15)).
564
Suppose 0 = q - 4, 0 = 7*p - 4*p + q - 22. Suppose i = -4*l - 2461, p*i + 5*l = 2*i - 9855. Calculate the smallest common multiple of 2/(-12) + i/(-102) and 6.
24
Find the common denominator of (-1 + 40/39)*(-11330)/(-618) and -7/1269.
16497
Let x be 3 + (3 - (-3 + 4)*3). Let q be (10/(-20))/(1*x/(-278)). Let s = 35 - q. Calculate the common denominator of 20/21 and s.
21
Let l = -145 - -124. Find the common denominator of -51/40 and (l/700)/((-24)/(-20)).
40
Let y = -329234 - -1013053043/3077. What is the common denominator of -38 and y?
3077
Calculate the common denominator of -68/3 and ((-12195)/11826 + 1)*(-1 + -2).
438
Suppose -18*c = -7*c + 110. What is the least common multiple of 8 and 8/c - (-408)/60?
24
Let d = 528331/28 - 18865. Let k = 2741/2 - 10867/8. Find the common denominator of k and d.
56
Let i = 267996157/38 - 7051800. Let s = 731 - i. What is the common denominator of -67/100 and s?
1900
Let c = 113/4 + -1163/41. Let i = 9197/820 + c. What is the common denominator of i and 87/40?
40
Let f be 184/(-46)*(-1)/((-4)/(-3)). Calculate the common denominator of (-21)/f + 35/(-60) and 74/33.
132
Let l = -6394 + -15. Let c = l - -64007/10. Find the common denominator of c and -12.
10
Suppose 237 = 3*q - 33. Suppose 0 = -5*d + 4*d - 3*i + 45, -3*d - 2*i + 100 = 0. Calculate the lowest common multiple of d and q.
90
Let d be (-10)/(-6)*-3 + -5. Let h(z) be the first derivative of -5*z**2/2 - 24*z - 13. Calculate the lowest common multiple of h(d) and 3.
78
Suppose -5*b + 340 - 115 = 0. What is the common denominator of 13/25 and 267/b + (-2 - 10/(-5))?
75
Let t(b) = -b**3 - 10*b**2 - 7. Let w be t(-10). Let p be ((-2)/6)/(w/(-21)). What is the smallest common multiple of (8/(-4))/(p*2)*1 and 2?
2
Let f = -24758 + 24920. Calculate the least common multiple of 66/8 - (-6)/(-24) and f.
648
Let q(m) = 2*m**2 + 85*m - 120. Let d(l) = 33*l - 3. Let t be d(2). Let x = t + -33. Calculate the smallest common multiple of x and q(-44).
60
Calculate the common denominator of -69/8 and 159/(-234) - ((-55)/11)/15.
104
What is the common denominator of 21/16 and (-7)/(-84)*(3 + 252/8)?
16
Calculate the common denominator of 81/2092 and (-33)/4*2 + 1 + 2.
2092
Suppose 76 = 2*b - 5*y - 549, 5*y - 1325 = -4*b. Suppose f - 74 = -a, 13*f - 8*f = 4*a + b. Calculate the least common multiple of 15 and f.
345
Let x = -23/1590533995 - -388001229178637/297523698570705. Let a = 2/8133 + x. What is the common denominator of a and 6/11?
253
Let h be (-30)/(-4) - (-6)/4. Let s(o) = 9*o**3 - 58*o**2 - 35*o + 3. Calculate the least common multiple of (-3)/h*(-1 - 20) and s(7).
21
Suppose -u + 4*t = -3*u - 10, -1 = 5*u + 2*t. What is the lowest common multiple of 51/(-2*3/(-2)) and u?
17
Let h = -84525/4 - -21156. Let c = 3784/261 + 1/522. Calculate the common denominator of c and h.
4
Suppose -3*d = 2*o + 2*d - 12, 5*o = d + 3. Let h be (o + (-4)/(-12))/((-4)/(-6)). Find the common denominator of (-35)/(-135) - h/3 and -55/18.
54
Suppose 0 = -4*x + 4*d + 752, -3*x - d = -0*d - 580. Let w = -380 - -386. Suppose x = -0*r + w*r. What is the smallest common multiple of r and 10?
160
Let x = 61 - 40. Let j = -6940 + 6949. Calculate the lowest common multiple of j and x.
63
Suppose 4*i - 6*i + 12 = 0. Suppose -i*o + 97259 = -119767. Let b = 1844795/51 - o. Calculate the common denominator of -91/2 and b.
102
Let n be (4/16)/((-1)/(-8)). Suppose -27 = -7*w - n*w. Calculate the least common multiple of w and (-6 - -1)/((-135)/162) - -4.
30
Let v = -14818725/707 - -20960. Find the common denominator of -57/70 and v.
7070
Suppose 0 = -n, -934 - 602 = -3*h - 5*n. Let q = h + -507. Calculate the smallest common multiple of 140 and q.
140
Let n(a) = -a**3 + 6*a**2 - 3*a - 5. Let q be n(5). Suppose -q*r + 11 = 3*j - 0, -12 = -4*r - 4*j. Calculate the