/1111. Find the common denominator of -23/420 and m.
4620
Let j be 1 - (8703/(-39) + 4/26). Let d = j + -468. Find the common denominator of 50/11 and (5 + 1222/d)*-9.
1342
Let w(u) = 7*u**2 - 134*u - 911. Calculate the least common multiple of w(-7) and 2331.
23310
Suppose -4*b + 3*s = 4*s + 17, 5 = -s. Let d be (2/b)/((-5)/(-30)). What is the common denominator of -89/16 and -3 - (0 + -2) - (-126)/d?
16
Let l be 26/(-4)*14 + 0. Let i be -17 - 17/(136/(-866)). Let r = i + l. What is the common denominator of -89/24 and r?
24
Let l(s) = -6*s - 4. Let g(u) = u**3 - 10*u**2 - 36*u - 17. What is the smallest common multiple of g(13) and l(-4)?
220
Let r = -602779/138 - -4368. Let w = 8719/690 - r. Find the common denominator of 67/15 and w.
15
Let j be (-19)/(-8) - (-3)/(-8). Let z(s) = 4*s**3 - 6*s + 10. Calculate the least common multiple of 4 and z(j).
60
Let d = 81898/11 + -110643780/14861. Find the common denominator of 28/579 and d.
4053
Suppose 11 = b + 4. Let q = 5 - b. Calculate the common denominator of (q - -6) + 507/(-18) and -53/6.
6
Suppose -4*b = -2*x - 5*b + 15, -4*b - 57 = -5*x. Calculate the least common multiple of 324 and x.
324
What is the common denominator of 157/270 and (-1)/(-3) + 5472/(-21384)?
2970
Let k = -281590191/520 + 14631589/26. Let q = -21231 + k. What is the common denominator of (4585/630)/(8/(-6)) and q?
120
Let t = -1810/3 - -609. Let i be (-2)/1 - (-152)/40*-109. Let j = -428 - i. What is the common denominator of t and j?
15
Suppose 68*c - 17*c = -59*c + 37290. Calculate the lowest common multiple of c and 6.
678
Let u = -458423/30 - -15284. Let c = -351 - -203. Let n = -4031/27 - c. Calculate the common denominator of u and n.
270
Suppose 0 = 14*x - 16*x - 18. Let s be (-1*(-62)/(-4))/(x/(-36)). Let t = 71 + s. Calculate the smallest common multiple of t and 5.
45
Let g = -8 - 1. Let h = -8234 + 8242. What is the smallest common multiple of h and (-160)/g - (-2)/9?
72
Let p = -3290 - -128267/39. Calculate the common denominator of ((-202)/16)/(3/(-4) + 0) and p.
78
Let s(n) = -5*n - 27. Let c(j) = -24*j - 134. Let b(q) = 6*c(q) - 28*s(q). Let z be b(-14). Find the common denominator of z/(-54) - (1 + 1 + -3) and -29/3.
27
Let g(x) = 3*x**2 - x - 1. Let y(z) = -z**3 - 13*z**2 - 41*z - 44. Calculate the lowest common multiple of y(-9) and g(1).
1
Let s be (-2)/(-10) - 470/(-25). Suppose -i - 1 = -2*x, 4*x + 0*x = 5*i - s. What is the common denominator of -5/22 and 3/((-20)/(i - 3) - -3)?
22
Suppose 2*m + 4*n + 10 = -0*n, -4*m - 5*n = 8. Let z(x) = 23*x**3 + x - 4. Let c be z(m). What is the least common multiple of 7 and 4/18 - c/(-45)?
14
Let s(v) = 3*v - 37. Let q be s(15). Suppose q = 2*n - n. Suppose -5*m + 0 + 4 = -j, -j = m - n. Calculate the least common multiple of 16 and j.
48
Suppose -25*h + 27*h = 3*d + 271, -5*h + 625 = 3*d. Calculate the smallest common multiple of h and 3.
384
Let r(y) = 11*y - 1 - 9 - 1 - 5*y. What is the smallest common multiple of 12 and r(6)?
300
Let h = -207641/12 + 17299. What is the common denominator of 3/41462 and h?
248772
What is the common denominator of -7 + (-324)/(-45) + 11 and (-4)/12 - (-236)/105?
35
Suppose 0 = -4*m - 12, 0 = 35*c - 30*c + 4*m - 1143. Suppose 0 = -16*g + 23*g - c. Calculate the smallest common multiple of g and 87.
957
Let l(h) be the first derivative of 1 + h**2 + 10*h - 2/3*h**3. Calculate the smallest common multiple of 16 and l(0).
80
Let x = 88 + 110. Calculate the lowest common multiple of x and 100.
9900
Suppose 75 + 270 = 3*o. Suppose 3*r - 2*n = -0*r + 80, 0 = -3*r - 5*n + o. Calculate the least common multiple of 15 and r.
30
Let w be (1 - 94/(-14))/(8/112). Calculate the common denominator of -1/32 and w/(-270) + (-283)/(-220).
352
Let c = -6065 + 7143. What is the smallest common multiple of 588 and c?
6468
Let p(v) = v**3 - 5*v**2 + 48*v - 71. What is the least common multiple of p(6) and 5*(3 + -3 + 23)?
1265
Suppose -7*p - 1040 + 312 = 0. Find the common denominator of 762/220 - (-28)/70 and ((-22)/p)/(265/90 - 3).
286
Let u(r) = r**3 - 7*r**2 - 15*r - 10. What is the smallest common multiple of u(9) and 7/(14/(-4)) + 7 + 3?
136
Let t = 341 - 645. Let o = t + 326. Calculate the lowest common multiple of 894 and o.
9834
Suppose m = -2*m + 18. Suppose -7*h + 4*h + 3*a = m, -5 = h - 4*a. Calculate the common denominator of 34/11 and -4 - ((-24)/20 - h).
55
Suppose 0 = -314*y - 67918 + 256318. Calculate the smallest common multiple of y and 300.
600
Let x = 37 + -19. Let h(w) = -10*w - 10*w - w**2 + 2*w**2 + 1 + x*w. What is the lowest common multiple of h(0) and 9?
9
Let d = 44 + -24. Suppose -2*t - 4*y = d, -t - t + 5*y + 25 = 0. Suppose t = -2*c + 3 - 1. Calculate the least common multiple of 2 and c.
2
Suppose 5*s + 247 = c, -s = -0*s + 4*c + 62. Calculate the common denominator of (-2)/4 - 71*1*8/(-112) and s.
7
Let l be -4 - 0 - (-191636)/(-48). Let f = l - -3984. Calculate the common denominator of 3/50*45/2 and f.
60
Let q(p) = -5*p**3 - 48*p**2 - 27*p + 22. What is the least common multiple of q(-9) and 33?
66
Calculate the smallest common multiple of ((-37)/(-3) - -2)/((70/(-966))/(-5)) and 1161.
26703
Let p = -235 + 343. Let a = p + -97. Calculate the smallest common multiple of 219 and a.
2409
Let w = 8 + -2. Calculate the smallest common multiple of w and 86*(21 - (-936)/(-48)).
258
Suppose 6*i = 2*i - 3*z + 9937, 3*i - 5*z = 7431. What is the least common multiple of i and 34?
2482
Let a be 3448/(-20) - 4*3/(-30). Let r = -443/6 + 959/12. Find the common denominator of 1 + -3 + 0 + (-342)/a and r.
516
Let w = -4102 + 4128. What is the least common multiple of w and 156?
156
Let g(t) = -t**2 - 44*t + 609. What is the least common multiple of 258 and g(11)?
516
Let n(g) = 14*g**3 - g - 1. Let d be n(-1). Let u = 16 + d. Calculate the least common multiple of u and 2.
2
Let v = -2929/5 + 102514/175. What is the common denominator of 48/1325 and v?
9275
Let f be (-11208)/30 - 4 - (-8)/(-20). Let j = f - -396. Calculate the smallest common multiple of j and 33.
198
Suppose -15*c - 264 = -3*c. Let s = c + 22. Suppose -3*t = 3*p - 48, -2*p + 43 = 3*t - s*p. Calculate the smallest common multiple of 1 and t.
11
Suppose 3*v - 3*v - 110 = -5*v. Suppose 0 = 3*x + x, 3*c + 2*x = 1374. What is the least common multiple of v and c?
5038
Suppose w + 12 = 2*k, -3*w - 13 = -k + w. Suppose 3 = -4*p - 13, 5*p = -2*r + 100. Suppose r = k*h - 2*h. What is the least common multiple of h and 2?
20
Let w(y) = -24*y**2 + 9*y - 16. Let n be w(3). Find the common denominator of 6*(-2)/16 + n/(-36) and -73/15.
90
Suppose 16*y - 312 = 408. What is the lowest common multiple of ((-1)/3)/((-1)/y) - -3 and 29?
522
Suppose 21*j + 10 = 26*j. Calculate the common denominator of -25/6 and ((j/78)/1)/(390/7683).
390
Let f = -7159/58408 + 27/392. Let n = -257/70 + 1/10. What is the common denominator of n and f?
1043
Let k = -5966 + 6554. Calculate the smallest common multiple of k and 12.
588
Let i = -10 - -12. Suppose -3*a + 3*m = -0*m - 3, i*a - 3*m + 3 = 0. Let s = 2076 - 2058. What is the lowest common multiple of a and s?
18
Let p = 27644/3 + -488363/53. Calculate the common denominator of 65/212 and p.
636
Suppose -327*w - 15 = -t - 326*w, 2*w + 70 = 4*t. What is the smallest common multiple of t and ((-3)/6)/((-2)/80)?
20
Let s be 1/(-2)*(-12)/2. Suppose -5*b + 4*p - 2*p = -355, -5*b + s*p = -355. Let l = -70 + b. What is the smallest common multiple of 7 and l?
7
Let v = 35133/16 + -2200. What is the common denominator of 4*(-177)/(-8)*(-2)/(-30) and v?
80
Let i be ((-840)/(-56))/((-1)/(-28)*-1). Find the common denominator of (-15*456/i)/(16 + 0) and 8/49.
392
Suppose -5*b + 2*n = 6*n - 13, -b - 5*n + 11 = 0. What is the common denominator of 85/82 and (b - (-57)/(-48))*(-177)/(-9)?
656
Suppose -3*f + 4 = -2. Suppose -f*n + 20 = 3*n. Suppose -n*b = -l - 23, b + 2*l + l = 9. Calculate the lowest common multiple of b and 20.
60
Let o be ((-506)/(-52))/(12/(-8)). Let j = o - -10213/1404. Find the common denominator of 46/(-7) + 6 + ((-1222)/140 - 0) and j.
540
Suppose 6806 = 4*j - o, -1060 = -4*j + 2*o + 5752. What is the lowest common multiple of j and 150?
5100
Let y = -151 - -223. What is the lowest common multiple of y and (-1 - 0)/(-1 + 