72 = q + 4*z - 46, -2*q = -3*z - 181. Let n = q + -8. Suppose 12*c - 14*c + n = 0. What is the smallest common multiple of 15 and c?
45
What is the least common multiple of (15/(-9))/(130/(-5772)) and 74?
74
Let m(s) = -s**3 + 23*s**2 + 20*s + 51. Let o be m(24). Calculate the common denominator of 137/12 and (1 + (-408)/20)/((-162)/o).
36
Let a = -439 - -760. Let n = a + -276. Calculate the smallest common multiple of n and 63.
315
Let h = 54 + -16. Calculate the least common multiple of h and (((-30)/(-100))/((-12)/(-10)))/(3/48).
76
Suppose -26*u - 2*x - 3466 = -30*u, u - 8*x = 904. Calculate the smallest common multiple of u and 164.
35424
Let l(c) = -2*c + 1. Let b(m) = 4*m + 219. Let a(j) = b(j) - l(j). Calculate the least common multiple of 105 and a(-23).
1680
Let r be (-16)/(-5) + -3 - 21051/103360. Let v = r - -89/323. Calculate the common denominator of v and -59/2.
320
Let v = 57397 - 57370. Suppose d - 9 - 3 = 0. Calculate the smallest common multiple of v and d.
108
Let b be 27/1086*1*-10. Let v = 6010/5973 + b. Let a = -649408/21 + 30923. What is the common denominator of a and v?
231
Suppose -3*u + 5*v + 194 = 99, -v = 4*u - 119. Calculate the lowest common multiple of u and 36.
180
Let r = -566 - 482. Calculate the common denominator of 167/60 and r/(-480) + (-10)/(-25).
60
Let t be 10921/15 - 6/45. Let d = t + -3776489/5190. Find the common denominator of d and -30.
346
Suppose 2*c = c + 3650. Let k be (-8579942)/2352 + (-2)/(-14). Let w = k + c. What is the common denominator of w and -73/15?
120
Let f = -2531 + 2654. What is the smallest common multiple of 12 and f?
492
Let f = -460 - -436. Calculate the smallest common multiple of ((-80)/f)/(15/18) and (-31)/(-2) + (-1)/2.
60
Find the common denominator of -37/1160 and 2836/(-312) - (-9)/(-117).
3480
Let z(u) = u + 10. Let p be z(-8). Suppose h - p = -l, 2*h + 5*l - 4*l = 8. Suppose -6 = -3*a - 0*a. Calculate the smallest common multiple of h and a.
6
Let a = 509943/220 + -9269/4. Find the common denominator of ((-16)/(-120))/(1/63) and a.
55
Suppose -s = t + 2, 2*t + 4 = 5*s - 0. Suppose s = -4*o + i + 33, -3*o - 6*i + 42 = -i. What is the smallest common multiple of 15 and o?
45
Suppose -14*w = -17*w - 24. What is the common denominator of -101/24 and 452/(-42)*(2 + 22/w)?
168
Let p = 525 - 1079. Let g = p - -4445/8. Let s = 6123 + -110131/18. Find the common denominator of g and s.
72
Suppose -q - c + 11516 = -6*q, 0 = -3*q + 5*c - 6892. Find the common denominator of q/(-405) + 3 + -8 and -23/54.
270
Suppose -5*a - 1 = -6*a. Let z(v) = -a - 13*v**2 - 2*v**3 + 2 - v + 3*v**2 + 3. What is the smallest common multiple of z(-5) and 26?
234
Calculate the common denominator of (-192)/6 + 33 - 482/364 and -115/1036.
13468
What is the lowest common multiple of 11 and 4*511/42*(5/(-2) - -4)?
803
Let p = 3540 - 3200. What is the least common multiple of 90 and p?
3060
Let l = -119351/60 - -7937/4. Calculate the common denominator of l and 0/12 + (-14)/9.
45
Let c be (0 - -203) + (-6)/((-30)/(-5)). Suppose -c*f + 210 = -195*f. What is the lowest common multiple of 20 and f?
60
Let k = 3/425 + -207849/3400. Let r be (-3*(-22990)/(-300))/(-4). Let l = r + k. Find the common denominator of 49/2 and l.
20
Suppose -4*l + 5*a = -0*l + 1168, -1192 = 4*l + a. Let y = l - -555. Calculate the common denominator of y/(-99) + 2 + (-5)/(-15) and 2/3.
33
Suppose -3*z = 5*n + 33, 5*z + 3*n + 24 = 5*n. Calculate the common denominator of -5/9 and 166/(-64)*8/z.
72
Let c(v) = -3*v**2 - v. Let t be c(0). Suppose -5*y + 3*y + 5410 = t. What is the common denominator of 17/16 and (-1)/7 + (-3)/(2730/y)?
208
Let t be (0 - 2 - -2)/3. Let n(d) = 11*d + 43. Let h be n(-18). What is the common denominator of h/(-55) + t + -4 and -9/11?
11
Let c(o) = 21 - 3*o + 6*o - o**3 + 8*o**2 + 3*o + 0*o. Let f be c(9). Calculate the smallest common multiple of 16 and 32/(-96) - 44/f.
112
Suppose 5*u + 29685 = 4995. Let z = u - -49299/10. Let c = 14599/8 + -1819. What is the common denominator of c and z?
40
Let i = 464 + -485. Find the common denominator of -33/16 and (-217)/11098*153/i.
2864
Let s(v) be the second derivative of -v**5/20 + 5*v**4/6 + 7*v**3/3 - 5*v**2/2 + v. Calculate the smallest common multiple of s(11) and (-14)/42*(-136 - -4).
308
Let t = 221 + 374. Suppose 4*n = -155 + t. Suppose n = 3*h - 70. Calculate the smallest common multiple of h and 22.
660
Let k = -34372/5 - -6875. What is the common denominator of k and 22/875?
875
Let a = -2729/6 - -15110/33. Suppose 2*g - 14 + 44 = 0. Find the common denominator of ((-1)/(6/g))/((-4)/26) and a.
44
Find the common denominator of 39/702*(-399)/10 and 103/30.
60
Let z(k) = 2*k + 7. Let i be z(0). Let b = i - -21. Calculate the smallest common multiple of (5/3)/((-255)/(-612)) and b.
28
Let q be 2/(((-2)/3)/(76/12)). Let c = -15 - q. Suppose -18 = -r - c*f + 2*f, -4*f - 68 = -2*r. What is the smallest common multiple of 20 and r?
260
Suppose -2*a = -6*a + 36. Let h = -490226 + 490433. Calculate the least common multiple of h and a.
207
Let j(x) = -3*x**3 + 21*x**2 - 6*x + 6*x**3 + x**3 - 13 - 6*x**3. Let f(u) = -u + 16. Let w be f(6). Calculate the smallest common multiple of j(w) and 15.
135
What is the common denominator of (-72)/1044 - 7914/1305 and -41/720?
720
Let r = -133 + 148. Calculate the common denominator of 26/(((-12)/r)/(8/(-60))) and ((-52)/(-1170))/(4/(-339)).
30
What is the least common multiple of (-10)/(-6) + (-17 - 3008/(-24)) and 11?
110
Find the common denominator of -85/948 and ((-7)/(-28) - (-159)/21)/((-180)/20).
6636
Let r = -1583 - -1833. Calculate the lowest common multiple of r and (2 + 3)*16/5.
2000
Suppose -1647*n + 1637*n + 150 = 0. What is the least common multiple of n and 660?
660
Suppose -j - j + c + 1529 = 0, 0 = 2*j + 4*c - 1534. Let w = 269993 + -1615451/6. Let a = w - j. What is the common denominator of a and 77/39?
78
Let c = -1930 + 2372. What is the least common multiple of 714 and c?
9282
Let x(j) = 180*j + 4507. What is the lowest common multiple of x(-11) and 2527?
2527
Let b = -3301/252 - -109/7. What is the common denominator of 1 + ((-343)/136 - -2) and b?
1224
Let x = 45 + -43. Let i(y) = 3*y - 6 - 7*y - 2*y + 11*y**2 - 10*y**x. What is the least common multiple of 11 and i(7)?
11
Find the common denominator of (4 + 84/60)*10/(-92) and 47/1232.
28336
Let c be (-3 - -4) + 0 + 1 + 1. Suppose -2*i = c*i - 180. Let o(w) = -w**3 + 23*w**2 - 21*w - 17. Calculate the least common multiple of o(22) and i.
180
Let k = -535319/22 - -24337. Let f = 52179/65 - 16321/39. Let h = f - 784249/2040. Find the common denominator of k and h.
1496
Let z = 307 + 1213. Calculate the smallest common multiple of z and 8.
1520
Suppose -3*f + 4*f - 2980 = -3*f. What is the least common multiple of f and 4?
2980
Let p = 6334 + -2924. Let b = -1945 + p. Let w = b - 4330/3. Find the common denominator of w and 35/19.
57
Let t = 36 - 24. Suppose -3654 = -59617*r + 59414*r. Calculate the least common multiple of t and r.
36
Suppose -k = -3*c - 674 - 1249, -15 = 3*c. Calculate the smallest common multiple of 12 and k.
1908
Let u = 219/19 - 2613/380. Let t = -33520133/60 - -558672. Calculate the common denominator of t and u.
60
Let h(n) = -n**3 + 5*n**2 + 14*n + 7. Let s be h(7). Let b = -198 + 204. What is the smallest common multiple of 6/12*s*8 and b?
84
Let f(h) = 18*h + 292. Let q be f(-16). Suppose -5*l = q*s - 153, 3*s + 3*l - 6*l = 81. What is the smallest common multiple of 356 and s?
2848
Let i(w) = -w**3 + 21*w**2 + 57*w - 244. Calculate the least common multiple of 571 and i(23).
5139
Suppose 21 = -13*k + 16*k. Suppose 31 = 4*n - 5*a, -n + k*a - 3*a + 5 = 0. What is the least common multiple of n and 81?
81
Let d = 321992 - 276913027/860. Find the common denominator of d and -145/516.
2580
Calculate the common denominator of -47/6 and 1/(-1) - (-728)/6048.
108
What is the common denominator of (-49)/21 + (-10)/54 and -77/390?
3510
Let b = 231 - 210. What is the smallest common multiple of 28 + (45/(-12) - 3/12) and b?
168
Let w(r) = r**3 + r**2 - 2*r + 3. Let p(q) be the first derivative of -q**2/2 + 5*q - 25. What is the smallest common multiple of p(2) and w(-2)?
3
Suppose 218 = 2*x + t, 5*x - 133*t + 134*t - 542 = 0