r of 42 and 6/(-8) + d/108.
3
Suppose 5*z = 4*x + 12, 0*x = -z - x + 6. Suppose 0 = z*d - 5*t + 29, 2*t = -2*d + 12 - 4. Calculate the smallest common multiple of (20 - d)/(10/10) and 10.
210
Let t(i) = 5*i**2 - 3*i + 2. Calculate the smallest common multiple of t(2) and -8 - (-20 + 4 + -12).
80
Let m = -28 - -7. Let n = m + 21. What is the common denominator of n + -3*6/(-88) + -1 and -85/24?
264
Calculate the lowest common multiple of 64 and 249 + 7 + (-3 - (-7 - -4)).
256
Let f be (-80369755234)/(-28)*(-1)/(-399158169). Let j = 63/2830909 - f. Let d = j - -8/329. Calculate the common denominator of d and -139/6.
6
Let z(n) = 4*n**2 + 3*n - 6. Let a be z(4). Let c = 38 + a. Let r = -76380 + 76396. Calculate the lowest common multiple of r and c.
432
Let p be (4 - (4 - 4)) + 10. Let z be (-4)/(-3)*(917/p - 4). Let y = -60 + z. Calculate the lowest common multiple of y and 9.
198
Let h(p) = -p**2 - 2*p + 4. Let q be h(-3). Calculate the common denominator of q/4*(-92)/10 and ((-225)/(-2700))/((-1)/9*1).
20
Calculate the common denominator of (-1155)/(-814)*2/108 and -19/444.
1332
Let z be (-71270)/70*(0 - 1). Let o = -1020 + z. Calculate the common denominator of o and 7/68.
476
Let h(t) = 1442*t + 7228. What is the least common multiple of h(-5) and 12484?
112356
Let x = -52255/9 + 5814. Let t be -4 - (1 - (-343)/(-4)). Let f = t + -3649/44. Find the common denominator of x and f.
99
Suppose 16*j - 22*j + 18 = 0. Suppose -j*s = -37 - 86. Find the common denominator of s and (7/(-10))/(2/(-5)).
4
Suppose 0 = -3*j + 4*j - 25. Suppose j*h - 296 = -71. What is the lowest common multiple of 90 and h?
90
Let u = 355505/7182 + 2/3591. Let m(f) = -8*f**2 - 5*f - 4. Let w be m(17). Let b = w - -45607/19. Find the common denominator of b and u.
38
Let p(u) = -9*u - 129. Let l be ((-828)/(-345))/(3/(-20)). Let w(z) = 29*z**3 + z**2. What is the least common multiple of w(1) and p(l)?
30
Calculate the common denominator of -77/1152 and (-15)/5 + (-626)/(-256).
1152
Let c = 9 + -5. Let g = 22072 + -22016. Calculate the smallest common multiple of g and c.
56
Suppose 36*u = 39*u + 3126. Let q = u - -3092/3. Calculate the common denominator of -149/18 and q.
18
Suppose 141*u - 3912 = -22*u. Calculate the lowest common multiple of u and 7977.
63816
Suppose -47*i - 12120 = -57*i. What is the lowest common multiple of i and 3030?
6060
Let j be (-3 - -1)/((-10)/(-441)) - 2. Let o = 4726/55 + j. Calculate the common denominator of -56/325 and o.
3575
Let t = 33 - 23. Suppose -9*w - 9 = -t*w. Suppose -4*g + w = -g. What is the smallest common multiple of 6 and g?
6
What is the common denominator of -75/8 and -5 + 8 - ((-6720)/(-365))/7?
584
Let o(c) = c**2 + 3*c - 39. Let x be (8/(-18))/((-4)/36). Let p(w) = -3*w + 13. What is the lowest common multiple of o(-10) and p(x)?
31
Let v = -3055925987/1890 - -1616892. Calculate the common denominator of 11/72 and v.
7560
Let q = 720 - 720. Suppose q = 4*w + 8, -4*n + 18 + 94 = 4*w. What is the lowest common multiple of 45 and n?
90
Let p(r) = 4*r**2 + 4*r + 3. Let w be p(-1). Suppose w + 37 = -2*v. Calculate the common denominator of v/72*-8*-6 and 38.
3
Let w be 12/(-10) + (-572)/(-1885). Let k = -595/696 - w. Find the common denominator of 77/48 and k.
48
Let m be (-2)/(-9) - (1902/54 - 2). Let t be 88/m*(-6)/4 - 16. What is the common denominator of (-166)/(-72) - (-4)/t and 1/32?
288
Suppose 0 = -2*m - k - 511, -2*m + 6*k - k - 541 = 0. Let t = m - -12383/48. Find the common denominator of -41/18 and t.
144
Let t = -41/19109 + 2193827/51708954. Calculate the common denominator of t and -46/369.
8118
Suppose -613 = -5*r - i, 0 = 5*r + 4*i - 26 - 596. Suppose 141*m - 1938 = r*m. What is the lowest common multiple of m and 119?
714
Let o be 11/(-44) + (-558)/(-56). Let i = 2/160425 + 141334369/4491900. Let s = i - o. Calculate the common denominator of 83/30 and s.
60
Let n be ((-77)/(-35))/11 + (-316)/5. Let w = -1161/119 + 25/17. Find the common denominator of n/(-2) + (-7 - -11) and w.
14
What is the common denominator of 53/1479 and (-28)/126 - 13386/(-31320)?
29580
Let c be 3243 - ((12/(-4))/3 + 0). Let q = c - 58417/18. Let i = 2/15647 + 1017011/344234. Calculate the common denominator of i and q.
198
Let q = 22177115741/441 - 50288220. Let f = 1136/49 - q. Find the common denominator of f and 31/28.
252
Let d(q) = -10*q - 16. Let t be d(-2). Let g(y) = 3*y**2 + 6*y - 36. What is the smallest common multiple of 1 and g(t)?
36
Let p = 1725/7 - 239. Let z be 3/(-1) - 2723/(-84). Let k = z - 26/3. What is the common denominator of p and k?
28
Suppose i + 8854 = -5*k, 2*i - 6*i - 35368 = -4*k. Let h = i + 132574/15. Calculate the common denominator of -62/15 and h.
15
Suppose 5*c = 3*g - 5*g + 439, 4*g + 12 = 0. Calculate the smallest common multiple of c and 10.
890
Find the common denominator of (-138)/(-400) + 382/(-764) and 33/500.
1000
Let u(b) = -2*b - 60. Let j be u(5). Let z be (-6)/(-4) + (-13035)/j. Let i = -13217/70 + z. What is the common denominator of i and 3/4?
20
Let g be (-42519)/(-6075) + -3 + -4. Let m = g + -13768/2025. What is the common denominator of 11/45 and m?
45
Suppose -4*u - 34*u + 342 = 0. Let q(i) = -19 - 6 + 8 - 6*i. Calculate the smallest common multiple of u and q(-6).
171
Let z(y) = 10*y + 121. Suppose 3*c + 32 + 3 = 5*m, -5 = -5*m. Calculate the lowest common multiple of z(c) and 3.
21
Let k(o) = o**3 + 8*o**2 + 3*o - 23. Let t be ((-24)/(-8))/(3/(-7)). What is the smallest common multiple of 5 and k(t)?
5
Suppose 37*t = 35*t + 20, 0 = -o - 3*t + 312. Suppose z = 4*z - 54. Calculate the smallest common multiple of z and o.
846
Let q be (-20)/5*21/24*-2. What is the common denominator of (-2169)/630 - (-35)/q and -31/12?
420
Suppose 26*w = 32*w + 231312. Let c be -1 + 54/12*w/34. Let n = 5101 + c. Find the common denominator of n and 101/8.
136
Let m be ((4 - -1) + -6)*-167. Let p = m - 134. Suppose 4*x + 37 - 49 = 0. What is the lowest common multiple of p and x?
33
Let a = -25461/8 - -3174. Find the common denominator of (-6 + 9)*2 - (-406)/(-48) and a.
24
Suppose -3*u = -5*u - 4*a - 14, -4*u = -a + 10. What is the common denominator of 18/5 and (-20)/495*u + -1?
165
Suppose -28*v - 12*g - 366 = -31*v, 3*v - 416 = 2*g. What is the lowest common multiple of 246 and v?
17466
Let t = 44 - -13. Let h = -63 + t. Calculate the least common multiple of h/15 + (-32)/(-5) and 10.
30
Suppose -13175*h + 132 = -13142*h. Calculate the least common multiple of 500 and h.
500
Suppose 2*j - 50 + 227 = 5*z, 0 = z + 3*j - 49. Suppose -z*w + 300 = -27*w. What is the lowest common multiple of w and 70?
210
Let d = 9167581/18 - 509435. Let a = d - -263/2. What is the common denominator of a and -87/28?
252
Let q = 275855 - 214063541/776. Calculate the common denominator of -57/88 and q.
8536
Let n(s) be the second derivative of -s**4/12 - 7*s**3/3 + 40*s**2 + 84*s. Calculate the smallest common multiple of 111 and n(-18).
888
Let j(y) = y**3 + 15*y**2 - 21*y + 8. Suppose -10*p + 32 = -12*p. Calculate the smallest common multiple of 56 and j(p).
616
Let g = 7041 - 5502. Calculate the least common multiple of g and 1881.
16929
Suppose -f - j = -265, 4*j + 1334 = -5*f + 10*f. Let u = f + -170. Calculate the least common multiple of u and 24.
96
Let q be 2/8 + (-11661)/(-60606). Let v = -5/148 - q. Find the common denominator of v and -31/87.
609
Let m be 5 + (0/1)/1. Suppose -43 = -m*t - 4*b, 18 = 2*t + 2*b - 0. Find the common denominator of -105/22 and t/63 - (-26)/(-396).
22
Let d(w) = -w**2 + 7*w + 26. Let h be d(11). Calculate the common denominator of (11/(-6))/(h/16) and 14/210*(-10)/4.
54
Let k(y) = -y**3 - 10*y**2 + 9*y + 13. Let c = 254 - 265. Calculate the smallest common multiple of k(c) and 70.
70
Let a(t) = -t**3 - 6*t**2 + 14*t + 27. Let m be a(-9). Suppose 27*k - 99 = m. What is the lowest common multiple of k and 3?
9
Suppose -9 = 2*m + 3. Let v(k) = k**3 + 7*k**2 + 8*k + 12. Let d be v(m). Suppose -12*i + 8*i + 48 = d. Calculate the smallest common multiple of 6 and i.
12
Let x be (-1 + 1)/(-2 + -3). Let v = 522 - 3665/7. Calculate the common denominator of v and (x/2 - -3)/((-42)/104).
7
Find the common denominator of 67/10 and 4/24 - (-15 - (-280475)/18408).
2360
Let z = -914 - 