 -7*q = -4*q. Suppose -4 = 2*j + 4*x, q = -2*x - 2 - 2. Let r(v) = v**2 + 51*v - 4041. What is the lowest common multiple of r(43) and j?
2
Let m = 1494 - 1025. Let v = 490 - m. Let z(f) = f**3 - 3*f**2 - f. What is the lowest common multiple of v and z(4)?
84
Let a(g) = 19 - 35 + 12*g + 22. Let f be a(3). Suppose -51*p + 54*p - f = 0. What is the lowest common multiple of 8 and p?
56
Find the common denominator of -107/384 and -5 + (-2 - -1) + 3402391/227200 + -9.
9600
Suppose -9*t + 30*t = t + 820. Calculate the smallest common multiple of t and 15.
615
Let z = 2413 + -38651/16. Let g = 503553/16 + -31472. Find the common denominator of z and g.
16
Let x(t) = t**2 - t - 30. Let n be x(-8). Suppose -62*j = -n*j - 1380. Calculate the least common multiple of j and 18.
414
Suppose -27*o + 25*o = -780. Suppose 0 = 5*i - 3*j - 5, 58*i + 2*j - 1 = 57*i. Calculate the least common multiple of o and i.
390
Let n = 16300 - 15820. What is the lowest common multiple of n and 1152?
5760
Suppose 10*t - 777 = 1583. What is the least common multiple of 16 and t?
944
Let o = 13903 + -333755/24. Calculate the common denominator of o and (-7)/(105/(-2))*(2727/12)/9.
120
What is the lowest common multiple of ((-58)/(-5))/(154/770) and 6?
174
Let t(u) = 66*u - 9*u**2 - 75*u + u**2 - 2*u**2. Let b be t(-3). Calculate the common denominator of (b/(-42))/(70/16 + -1) and -16/9.
9
Let q(r) = 190*r - 2624. Calculate the least common multiple of 4170 and q(14).
25020
Let q(z) = -2*z**2 + 118*z + 394. Calculate the least common multiple of q(62) and 82.
902
Suppose 4*h = -2*r + 2, 0 = 4*r - 3*r - 4*h + 5. Let y(t) = -t - t + 0*t + 19*t**2. What is the smallest common multiple of y(r) and 24?
168
Let a be -1*(1 + (-4745)/(-25)). Let v = 168757 - 1689963/10. Let n = v - a. What is the common denominator of 115/18 and n?
18
Find the common denominator of (1 - -1) + (129767/(-8030) - -14) and 49/730.
730
Let j be (-1)/(-2) + (-9499)/19054. Let r = -83009/8166 - j. Calculate the common denominator of r and (-7)/280*4/(24/(-915)).
48
Let q = 8021/11 - 385415/528. Let o = -43/1051 - -110317/50448. Calculate the common denominator of o and q.
48
Suppose 2*f = y - 277, 0 = -5*f - 28 + 23. Let h = -269 + y. What is the least common multiple of h and 14?
42
What is the common denominator of ((-43)/(-2))/(14/(-4)) and (-45)/(-6) - (-19036)/(-2536)?
2219
Let v(k) = -25*k + 131. Let a be v(5). Calculate the common denominator of (0 + 6/20)/(a/38) and 19/9.
90
Let m = 40 - 32. Suppose -3*v = -2*v - 12. Suppose 36 = m*j + v. Calculate the least common multiple of 75 and j.
75
Suppose 7*u - 3*g = 2*u + 84, 0 = -u + g + 16. What is the least common multiple of u and 3200?
28800
Let u(m) = m**3 + 16*m**2 + 26*m - 26. Let d be u(-14). What is the smallest common multiple of ((-1)/d)/(40/(-3280)) and 4?
164
Let t = -895690667/1108 - -808385. What is the common denominator of 67/16 and t?
4432
Let k be 5 - 6*7/(-21). Suppose -44 = -k*j + 40. Calculate the smallest common multiple of j and 10.
60
Let d(z) = -z**3 - 31*z**2 - 2*z - 61. Suppose 0 = 5*m - m + 84. Calculate the lowest common multiple of (2 - 3)/(1/m) and d(-31).
21
Suppose 0*j - 230 = -5*j. Suppose -1058*m + 14077 = -9199. What is the smallest common multiple of m and j?
506
Suppose -4*x = x + 95. Let i(l) = -26 + 64*l - 66*l + 4. What is the smallest common multiple of 4 and i(x)?
16
Let g = 128/139 - 15399/3892. Calculate the common denominator of g and -44/25.
700
What is the common denominator of -5 - ((-316)/(-848)*-2 + -4) and 8/(-24) - 278/24?
636
Suppose 30*q + 4137 = -3603. What is the common denominator of (-195)/(-8)*(-10 - q/27) and -1/255?
510
Calculate the common denominator of 27/2 and (153/7650)/(730/(-46)).
18250
Suppose 5 + 11 = 2*g. Let k = 8 - g. Suppose k = -4*l, -9 = -t - l + 13. Calculate the smallest common multiple of t and 2.
22
Let p be (-1)/(66567/24*4/1). Let m = -1930511/754426 - p. What is the common denominator of m and -59/4?
68
Let s = 570 - 598. Calculate the smallest common multiple of s/16*-44 - 5 and 7.
504
Let t = -124581 + 80230181/644. What is the common denominator of t and -8/35?
3220
Suppose 5*h - 4*a - 30 = 0, -2*a = 3*h - 0*h - 18. Let l(f) = 2*f + 9. Calculate the least common multiple of l(12) and h.
66
Let d be ((135/12)/(-9))/((-1)/4). Suppose -4*y = -m + y + 29, 77 = 3*m - d*y. Calculate the lowest common multiple of (89 + -91)/(-1*(-2)/(-28)) and m.
168
Suppose -1320 = -13*r + 9*r. What is the lowest common multiple of 48 and 10/r*-6 - 35/(-11)?
48
Let d(c) = -37863*c**2 - 3*c + 11. Let q be d(-8). Let w = 593682316/245 + q. Let y = w + -3/1960. Calculate the common denominator of 2 and y.
8
Let q(c) = 3*c**2 - 3*c - 53. Let k be q(-16). Calculate the common denominator of -85/24 and (0 - 0) + k/(-672).
96
Suppose 9 = 4*f - 27. Suppose -32*d + 63 = -25*d. What is the least common multiple of d and f?
9
Let n be (-84)/(-378) + 2020/(-18)*1. Let z = -70 - n. Suppose a = 11 + 19. Calculate the lowest common multiple of z and a.
210
Let d(y) = -y**2 + 28*y + 56. Let g be d(29). Let o = 33 + g. What is the lowest common multiple of 6 and o?
60
Suppose 2*n + 2*m = 26, -2*n = 3*n - m - 77. Suppose -16*p + 3*o + 33 = -n*p, 0 = -5*p - 3*o + 93. Calculate the lowest common multiple of p and 14.
42
Let t be -1*(-134)/(-3) - 35/105. Let k = -2/88613 - -519039/886130. Find the common denominator of (114/t)/((-33)/110) and k.
630
Let u = 16221367/260 + -62390. Find the common denominator of -5/416 and u.
2080
Suppose 0 = -i - 4*z - 0 + 16, -2*z = 5*i - 26. Suppose -14 = -2*x + 3*p, -i*x + 5*p - 7 = -37. What is the least common multiple of 9 and x?
90
Let q = 1335 - 1330. What is the lowest common multiple of 14 and q?
70
Suppose 0 = 4*h + 4*q + 7916, -h - 3*q - 1977 = -0*h. Let s be 14215/h - (-4)/16. Let k = -42/11 - s. What is the common denominator of -53/11 and k?
99
What is the common denominator of 8/(-6) - (16 + (-179793)/10206) and -157/918?
6426
Let l = -2 - -22. Let t = 625075 + -625019. Calculate the lowest common multiple of t and l.
280
Let h be 4*(2 - 4 - 114/(-12)). What is the common denominator of (35/h - 6)*10/(-14) and ((-3)/20)/((-9)/654)?
210
Suppose -8*v + 15 = -17. Calculate the common denominator of 3/(-18) + (46/15 - 1) and (10/((-120)/873))/(30/v).
10
Suppose 0 = -2*n + f - 84, -3*n + f = 3*f + 126. What is the common denominator of ((-12)/1032)/((-1)/n)*2 and (-17 - (-2 - -2))/(-2)?
86
Let w be -1 + 0 + 0 + -3. Let o be w/1 + 1236/264. Let q = -9/22 + o. What is the common denominator of 48/11 and q?
11
Let o = 408 + 243. What is the lowest common multiple of 310 and o?
6510
Let k(l) be the first derivative of -l**4/4 - 11*l**3/3 - 6*l**2 - 21*l + 17. Let q be k(-10). Find the common denominator of 17/15 and 4/q - (332/40 + -2).
30
Let s = -82 - -78. What is the least common multiple of s/3 + 1518/99 and (0 - (-21)/12)*40?
70
Suppose 4*g = -126 + 190. What is the least common multiple of 2 and g/(-6)*(-1209)/52?
62
Let m = -600 + 4787/8. Let l = 161 + -163. Calculate the common denominator of 35/15*(-11)/l and m.
24
Let y = -8 + 12. Suppose -32 = -4*t - 5*n, t - 2*n + 6 = 1. Suppose 5*o - 18 = -t*j, 5*j - 11 = -o - 3. What is the least common multiple of y and j?
4
Let u be (-6945)/(-27) - 12/54. Let r = -233 + u. What is the least common multiple of 24 and r?
24
Let p be (4/30 + (-5)/(-25))*-177. Let w = p - -81. Suppose w*m = 19*m + 306. Calculate the smallest common multiple of 9 and m.
306
Let l = 640 + -1538. Find the common denominator of -55/14 and -1 + (12597/l)/(-13).
6286
Suppose 0 = 9*a - 10*a + 18. Suppose -a*p + 2 = -17*p. Suppose 27 = p*k + k. What is the smallest common multiple of 11 and k?
99
Let n = -5417 - -5426. Suppose 0 = -3*k + 5*m + 7, -3*k + m = 5*m - 43. What is the lowest common multiple of n and k?
9
Suppose 0 = -3*v + 4*l + 19 + 6, 5*v + l = 11. What is the common denominator of -53/3 and 15 + -10 + -139*v/99?
33
Let o = -86 + 126. Suppose -3*m - 5*y - o = 0, 4 = 2*m - y + 9. Find the common denominator of -7/11 and (36/30 + -5)/(27/m).
297
What is the common denominator of 527/(-168) - 3/72 and -5/18?
252
Suppose 5576 = 67*s + 36*s - 21*s. Let b = 50 - -103. Calculate the smallest common multiple of b and s.
612
Suppose 0 = -39*