. Calculate the least common multiple of 20 and m.
40
Let d = -3923/3 + 1294. Suppose 5*r + 70 = 4*r. Find the common denominator of ((-7)/r)/((-4)/(-94)) and d.
60
Suppose 6*j - 6272 = 2*k + 2*j, 0 = -k - 3*j - 3141. Let d = 169469/54 + k. Find the common denominator of d and -1 - 18*9/(-12).
54
Suppose 2*t + 23 = -4*o - 409, 5*o = -2*t - 427. Calculate the common denominator of 39/44 and (-32)/(-64)*t/10.
220
Let f(z) = -2*z**3 + 23*z**2 - 10*z + 34. Let u be f(12). Find the common denominator of ((-20)/6240)/(u/116 - -2) and -9/20.
780
Let o(x) = x**3 + 23*x**2 + 42*x + 24. Let m be o(-21). Suppose 11*d - m = 97. What is the smallest common multiple of d and 55?
55
Suppose -1869 = -12*l + 2451. What is the smallest common multiple of 63 and l?
2520
Let c = -10189 - -10420. Calculate the lowest common multiple of c and 3234.
3234
Let n = -4741303 - -114538189/24. Let x = 31127 - n. Find the common denominator of x and -46/75.
600
Let t = -106487311634 + 8851012368125605/83118. Let n = -3/3958 - t. Find the common denominator of n and 15/7.
21
Suppose -2*i = -t + 74, 19 - 14 = -5*i. Calculate the lowest common multiple of t and 72.
72
Let k be (-1 - 16/(-11))*1776/60. Let r = k - 1046/99. Find the common denominator of r and 99/266.
2394
Let c = -160492 + 805954/5. Let a = 55429/80 - c. Calculate the common denominator of a and (-2)/7 + 319/(-84).
48
Let t = 4619436259/54 - 85547591. Let a = -2475 - t. Find the common denominator of a and 57/8.
216
Let s = -352455/79937 + 1/14534. Let a be (4/((-48)/(-249207)))/3. Let o = a - 6915. Calculate the common denominator of o and s.
132
Let a(m) = 31*m - 990. Calculate the smallest common multiple of a(32) and 2.
2
Let f = 26 - 28. What is the common denominator of -95/4 and 10/(-15)*15/f - 27?
4
Let u(t) = -365*t - 15. Let n be u(-1). Let z = -320 + n. What is the least common multiple of 5 and z?
30
Suppose 71*w - 269 - 252 - 331 = 0. Let h(d) = d**2 + d - 1. Let r(o) = -o**2 + 1. Let s(b) = 2*h(b) + r(b). What is the least common multiple of s(-5) and w?
84
Suppose -w = -a + 25, -112*a = -107*a - 2*w - 113. Suppose a*j - 304 = 2720. What is the least common multiple of j and 128?
1152
Let q(m) = -3*m - 3. Let k be q(-1). Suppose k = n + 3*n - 6*n. Suppose -6*i = -n - 36. Calculate the smallest common multiple of i and 20.
60
Suppose 14656 + 1302 - 2868 = 55*f. What is the lowest common multiple of 374 and f?
2618
Let z(x) = x**2 + 129*x + 503. Suppose 3*i - 2*i = 4. Calculate the lowest common multiple of z(-4) and i.
12
Let w = 26718/13 + -160399/78. Calculate the common denominator of w and 2/684*337 - 1.
342
Let f = -1275722443/471380 + 159/23569. Let q = 2708 + f. Calculate the common denominator of -1 + 69/20 + 1 and q.
20
Suppose -10 = -2*c - 2*o, -5 = 3*c - 2*o - 0*o. Let f be (-1500)/(-27) + 2 + c. Let v = -977/18 + f. Calculate the common denominator of -52/21 and v.
126
Suppose 0 = -2*o + 5 + 5, -o - 17 = -2*w. Suppose -2*t + 6*s - s = -w, 13 = 5*t + 2*s. Suppose 920 - 923 = -3*y. What is the least common multiple of t and y?
3
Suppose -2*b - 2361 = 2*d - 52561, 125499 = 5*d + 4*b. Let w = d + -451897/18. Calculate the common denominator of -8 - -1 - (902/(-54) - -7) and w.
54
Let v = -348 - -348. Suppose 11*m - 214 - 50 = v. What is the smallest common multiple of (24/9)/((-1)/(-12)) and m?
96
Suppose 53 = -37*d + 201. What is the common denominator of 95/(0 - 19 - (d + -9)) and 107/22?
154
Suppose -42*o + 5*l + 3628 = -41*o, 3*o - 10770 = -4*l. Calculate the lowest common multiple of 22 and o.
39578
Let o = -164999/1793068 + -2/23593. What is the common denominator of 49/57 and o?
228
Calculate the common denominator of (1 + (-2030)/2037)/((-5)/(-108)) and 91/10.
970
Let b = -28188 + 28191. What is the lowest common multiple of b and 500?
1500
Let a = 3784 - 2895. What is the lowest common multiple of 105 and a?
13335
Let p = 16 + -11. Suppose 0 = -2*w + 3*i - 2*i + 273, p*i = -5. What is the lowest common multiple of 48 and w?
816
Suppose 172 + 658 = 5*w. Suppose -w = 5*n - 4*m, 5*m = -5*n + 4*m - 146. Calculate the common denominator of 165/50 - 14*6/(-12) and n.
10
Let i(h) = 7*h**2 + 7*h - 12. Let g(u) = -u - 1. Let r(k) = 2*g(k) - i(k). Let j = 643/240 - -25/48. What is the common denominator of r(1) and j?
5
Let x = 335079 - 164858801/492. Calculate the common denominator of -35/82 and x.
492
Suppose 2*p - 10*p = 144. Let k be ((-333)/4)/(p/192*-4). Let o = k - -883/4. Calculate the common denominator of -133/6 and o.
12
Suppose -8*f + 16 = -4*f. Suppose f*b = -3*s - 0*b + 80, s = -5*b + 12. Calculate the smallest common multiple of s and 36.
288
Let k be (55/(-10) - -5)*(-50494)/(-170). Let q = k + 748/5. Calculate the common denominator of q and (-2)/10 - (-43)/80*22.
136
Let u(m) = -2*m**3 - 14*m**2 - 8*m + 27. Suppose 4*l + 11 - 47 = 0. Suppose 5*i + l = 34, -i + 41 = 3*p. What is the least common multiple of u(-6) and p?
12
Suppose 710*f - 708*f - 3000 = -2*g, 7480 = 5*f - 5*g. Calculate the least common multiple of f and 107.
1498
Let n = 27 - 11. Let j(a) = -2*a**2 + 18*a - 11. Let q be j(8). Suppose 0 = -i - 0*g + g + q, -2*g + 2 = 0. What is the least common multiple of n and i?
48
Suppose -3*j = -2*f + 4*f - 62, 5*f - 160 = -5*j. Suppose -5*c + f - 13 = 3*p, p + 5*c - 7 = 0. Calculate the least common multiple of p and 24.
168
Suppose -3*x + 6*x = -3*n + 342, 0 = -2*x + n + 225. Find the common denominator of x + -117 + -53*(-2)/66 and -115/54.
594
Calculate the common denominator of ((-31)/(20150/(-52)))/(1 - (-2049)/(-1545)) and -29/945.
3780
Let o be (((-65)/(-15))/13)/(1/(-3)). What is the least common multiple of 209/(-76)*(-32 - (o - -1)) and 56?
616
Let v be (-8316)/(-324) - (-2 - (-8)/3). Suppose 504 = v*l + 17*l. Calculate the least common multiple of l and 1116.
1116
What is the common denominator of (189/(-2660))/(186/(-48) + 4) and -91/285?
285
Let k = 1135479/52 + -21836. What is the common denominator of k and 67/3354?
6708
Calculate the least common multiple of 26/((-2392)/(-33116)) + 2/46 and 80.
720
Suppose -5*i = 30, 22 = 3*r + 2*i - 8. What is the smallest common multiple of r and 1156?
8092
Let a = -27815/22 - -1262. Let h = -283 + 233. What is the common denominator of (20/(-60) + h/(-132))*-75 and a?
22
Let r = -485873/120 + 4049. Let k = -25369 - -1217645/48. What is the common denominator of r and k?
240
Let y = 1935 - 19333/10. Let q = 715933557 - 283509496715/396. Let b = 5304/11 - q. What is the common denominator of b and y?
180
Suppose 54*f + 231 = 21*f. Let i(g) = -8*g + 2. Let o(z) = -7*z + 2. Let k(n) = -6*i(n) + 7*o(n). What is the least common multiple of 3 and k(f)?
9
Suppose 5*g + 5*b - 7440 = 0, 4*b + 7458 = 5*g - 0*b. Calculate the smallest common multiple of 3874 and g.
19370
Suppose -24*f - 600 = -29*f. What is the least common multiple of 5*16/f*9 and 22?
66
Suppose 14802 = -2*m + 15698. Calculate the lowest common multiple of m and 140.
2240
Suppose 2*x - 53 = 3*h, 2*x = -0*x - 2*h + 28. Let s = -5 - -16. What is the lowest common multiple of x - 10 - (-1 - 1) and s?
11
Calculate the common denominator of (21150/(-3051) + 7)/(70/14) and -43/30.
3390
Find the common denominator of (-287)/(-180) - 3579/(-5965) and 1 - 22/(-9) - -1.
36
Let p(v) = 3*v**3 - 54*v**2 + 8*v + 10. Let w(i) = i**3 - 3*i**2 + i - 2. Let j(s) = -p(s) + 6*w(s). What is the least common multiple of 238 and j(-12)?
238
Suppose -5*v = -20, -o - 3*v + 64 = -4*v. Suppose 0 = 5*y + 102 + o. What is the common denominator of (-8)/(-32)*(-1 - y) and -75/16?
16
Let s = -16893 - -38061. Suppose 0 = 37*w - s + 7737. What is the lowest common multiple of 30 and w?
3630
Let x = -13698 - -274037/20. Find the common denominator of x and 9/740.
740
Let h(z) = -379*z + 12. Let f be h(5). Let y = -2741 + f. Let m = -36943/8 - y. Calculate the common denominator of -11/10 and m.
40
What is the common denominator of -53/3490 and 276/84 + -3 - 316/(-70)?
3490
Let u(m) = -957*m - 450. Calculate the lowest common multiple of 9 and u(-4).
10134
Let f = -303701/230 + 5284/23. Let r = 1092 + f. Calculate the common denominator of (2 - 42/(-4))/(-4) and r.
40
Let m be 4/16 + (-239016)/32. Let z = 44665/6 + m. Find the common denominator of -97/54 and z.
54
Let h = 4123 + -4115. 