 - 169. Suppose 0 = -t - 5*x + 12, r = -5*t - 2*x + 6 + 8. Suppose 0 = 4*a - 137 - 15. What is the smallest common multiple of t and a?
38
Let x = 6 - -11. Suppose -18*j - 111 + 183 = 0. Suppose 4*l - 2*l - x = -a, 4*l = -j*a + 40. What is the lowest common multiple of 12 and l?
84
Suppose 5*n + 2*m = -110 + 366, -2*m = -5*n + 244. Suppose -807*x + 3987 = -8925. What is the lowest common multiple of x and n?
400
Let v = -375911 - -270656149/720. Let l = v + 29/180. Find the common denominator of 83/96 and l.
96
Let l = 154529/5752 - -7/719. Let h = -1793/72 + l. Find the common denominator of -85/63 and h.
252
Calculate the common denominator of (-6)/(-21) - (-1220)/(-2800) and 69/18758.
187580
Let f = 403947/2871278 + -1/79026. Calculate the common denominator of -40/9 and f.
981
Let m = -108 + 183. Suppose -w = 4*l - 72 - 40, 3*l = -3*w + m. What is the lowest common multiple of (-100)/(-8) - 25/10 and l?
290
Let f be ((-6)/(-4) + -1)/(27/162). Suppose 58 = f*z + 28. Calculate the lowest common multiple of z and 37.
370
Let h = -61742 + 6174191/100. Calculate the common denominator of (2/(-6))/(2/40) and h.
300
Suppose -218*c + 1152 = -216*c. What is the least common multiple of c and 42?
4032
Let w(o) = 2*o - 20. Let y be w(11). Find the common denominator of (-2)/(-3) - (-11)/(-10) and (y/(-16))/((-8)/(-196)).
240
Find the common denominator of -151/336 and 226/(-32)*(0 + -1 - (-34)/51).
336
Let a = 17572/29939 - -3/611. Let t = 199653/10 - 19971. What is the common denominator of a and t?
490
Let t(u) = -u**3 - 7*u**2 - 7*u - 8. Let c be t(-6). What is the smallest common multiple of (1080/6)/6 + -8 and (8/6)/(c/(-30))?
220
Suppose 45*k - 327 = 39*k - 111. Calculate the smallest common multiple of k and 132.
396
Find the common denominator of ((-15)/6*(3 - 22827/7555))/4 and 43/18.
54396
Let r be (-3107)/391 + (1 - -7). Let f = r + -37397/4692. Calculate the common denominator of f and -23.
12
Let i be 18/20*(-1720)/96. Let y = i + 509/8. Calculate the common denominator of (-97 + -1)*7/(-252) and y.
18
Find the common denominator of -29/418 and (-204)/(-153)*(-108)/(-42).
2926
Suppose 26 = 4*h + j, -h + 22 = 3*h - j. Let z(l) = -2*l**2 + 13*l - 9. Let y be z(h). What is the common denominator of -47/10 and (-1)/y*(-3)/58?
290
Let s(k) = -k**3 - 12*k**2 - 29*k - 22. Let i(g) = 15*g - 55. Let v be i(3). Calculate the smallest common multiple of s(v) and 40.
680
Let s(d) = -1. Let g(v) = -6*v - 152. Let y(l) = g(l) - 2*s(l). Calculate the least common multiple of 2 and y(-34).
54
Let l(w) = 15*w**2 - 2658*w + 532. Calculate the lowest common multiple of 9526 and l(177).
9526
Let m = 22466/9 + -5009/2. Calculate the common denominator of 21/118 and m.
1062
Let v = -524267/36 - -14567. What is the common denominator of (-2)/6 - (-39)/(-4) and v?
36
Suppose 5*v + 52*t = 54*t + 63, 6 = 2*v + 4*t. What is the smallest common multiple of 1991 and v?
1991
Let s(c) = c**2 - 6*c + 2. Suppose 16*u + 97 + 95 = 0. Let a(l) = l**3 + 12*l**2 - l - 5. Let g be a(u). Calculate the least common multiple of s(g) and 3.
9
Let p be 424494/(-780608)*20/(-6). Let n = 2/12197 - p. Calculate the common denominator of 11259/(-594) + 10 + 13 and n.
176
Suppose 0 = 9*b + 7*b - 240. Suppose 8*y + 147 = b*y. What is the lowest common multiple of y and ((-6)/(-9) - -1)*18?
210
Suppose 0 = 2*b + 8 - 20. Let d be (2/b)/((-10)/38655). Let y = 1252 + d. What is the common denominator of y and -151/42?
42
Suppose -7*m - 4 = -6*m - 4*t, -m = -5*t + 8. Suppose 296 = m*a - 11*a. What is the smallest common multiple of a and 6?
888
Calculate the smallest common multiple of (106*(-1)/1)/(-1) and 24.
1272
Let y(p) = -p**2 - 34*p - 51. Let c be y(-32). Suppose -17*d + 80 = -c*d. What is the lowest common multiple of d and 12?
60
Let y be 66361*1/16*106. Let h = y + -435602. Let j = h - 4051. Find the common denominator of j and -75/22.
88
Suppose 40*u - 660 = -r + 39*u, 3*r - 1938 = 4*u. Calculate the least common multiple of r and 6.
654
Let z be (-743635)/(-60) - (-4)/6. Let q = -12382 + z. What is the common denominator of q and -3 + -7*(-75)/36?
12
Suppose -2106*f + 2121*f = 2550. Calculate the smallest common multiple of f and 210.
3570
Let i = -189 - -124. Let l = -53 - i. Suppose l*k - 13*k = -2. Calculate the least common multiple of k and 6.
6
Let w be 9574/(-8)*(126 - 124). Let b = w + 359069/150. Calculate the common denominator of 143/18 and b.
450
Let v = 5221 + -4871. Calculate the smallest common multiple of 6 and v.
1050
Suppose 4*p - 2 = 46. Suppose 5*q - n = -33 + 34, q - 4 = 4*n. Suppose -4*o - 4 = 0, q = -3*d + 2*o + o + 69. Calculate the least common multiple of d and p.
132
Calculate the smallest common multiple of 60 and (-194)/(-291) - (-89656)/12.
112080
Suppose -37 = -4*a + 3*p, -6*a + 4*a - 4*p = -24. Let i be (1/4*-9)/(3/8). What is the lowest common multiple of a and i/4*(-12)/18?
10
Let h(i) = -i**2 - 7*i + 12. Let r be h(-7). Suppose 869 = -r*k + k. Let j = -70 - k. Calculate the least common multiple of j and 3.
9
Let r = 6/59 + -1063/590. Let y = 15004 - 4621227/308. Let l = 579/2464 - y. Calculate the common denominator of l and r.
160
Suppose 8*d = -26 + 298. Suppose 4*a + 2*h - 80 = 0, 4*a - 4*h = 22 + d. Calculate the lowest common multiple of 6 and 27/a*-4*(-4 - -2).
12
Suppose 5756*s - 5266*s = 353780. Suppose -3*y = 4*o - 44, 0 = y - 4*y + 12. Calculate the least common multiple of s and o.
2888
Calculate the common denominator of (-407)/702 + (-6)/(-39) and (-2)/14 + 60878/25620.
270
Let d(k) be the first derivative of k**3/3 - 5*k**2 - 13*k - 2. Let y be d(11). What is the common denominator of -81/8 and y - 7/((-455)/270)?
104
Let v(r) = -r**3 + 8*r**2 + 14*r - 17. Let l be v(5). Let d = 168 - l. What is the smallest common multiple of 5 and d?
40
Suppose 0 = t - 5*i - 29, -16*t - 19 = -19*t - 2*i. Let y(f) = -4*f**2 + 76*f + 18. Calculate the lowest common multiple of y(19) and t.
18
Suppose -n - 3*x = 3*n - 39, 5*n + 5*x = 55. Suppose -14 + n = -2*y. Calculate the least common multiple of y*(-12)/3*1/(-2) and 26.
104
Let z = 72 - 71. Suppose -y - z = 0, -3*g = g - y - 141. Suppose 7*r + g = 112. Calculate the smallest common multiple of 5 and r.
55
Let c = 381 + -372. Suppose -288*l + 287*l + c = 0. Calculate the smallest common multiple of l and 42.
126
Let r(y) = -y**3 - 12*y**2 + 62*y + 837. What is the least common multiple of r(-12) and 183?
5673
Let i(p) = -p**3 - 7*p**2 + 13*p - 12. Let l(v) = -2*v + 41. Let z be l(12). Suppose -6*u - 37 = z. What is the smallest common multiple of 24 and i(u)?
264
Let j be 4 - (-16)/(-5) - 103/240. Let a be (-4)/(2880/1443) - -2. Let z = a - j. Calculate the common denominator of z and 81/10.
40
Let b(p) = 3*p**2 - 23*p + 44. Let j be b(5). Suppose -4*u + 92 = -5*f, -5*u = j*f - 33 - 41. What is the least common multiple of u and (4*-1 - -2) + 8?
18
Calculate the common denominator of (14/1463)/(8/80 - (-3)/(-6)) and 73/16.
3344
Let b = -699/17 + 26923/680. Suppose -3*r + 4*h = -6*r + 72, -2*h = -3*r + 90. Find the common denominator of 12/r - 1242/56 and b.
40
Let b(z) = 20*z**3 + z**2. Let n(m) = -2*m**3 + 2*m**2 + 93*m + 15. What is the least common multiple of b(1) and n(0)?
105
Suppose y + 594 = 3*p, 4*y = 7*y + 18. What is the smallest common multiple of 308 and p?
2156
Let q be (-8 - -18)*1/2. Suppose 0*y = -q*y + 125. Find the common denominator of ((-1)/(-89 - -1))/(40/6800) and y.
44
Let a(w) = 240 - 127 - 140 + w. Let f be a(4). Let d = f - -31. What is the smallest common multiple of 26 and d?
104
Let b(l) = -6*l**2 + 55*l - 162. Let c be b(3). Let h = 47 + -118. Let y = c - h. Calculate the smallest common multiple of 2 and y.
20
Let q = -736622 + 932563505/1266. Calculate the common denominator of q and 29/1055.
6330
Let u = -619/69 + 155213/17940. Find the common denominator of -99/260 and u.
260
Let j = -1160 - -1143. Let y(f) = f**3 + 4*f**2 + f - 5. Let g be y(-4). Let d = g - j. What is the least common multiple of 26 and d?
104
What is the common denominator of 3 + 540/336*2 and 37/1074?
7518
Let o(g) = 7*g**2 + g. Let t be -4*(4 + (-450)/(-12)). Let q = 186 + t. Calculate the least common multiple of o(-1) and q.
60
Suppose 0 = k + 2*k, -5*f - 3*k + 55 = 0. Let n be ((-3