 of u and (2320/1152)/((-20)/30).
240
Let z = -90724422143/49987553616 + 211/3121101. Let c = -15/2288 + z. Calculate the common denominator of c and 69/14.
28
Let u be ((-3)/(-5) - -1)/(17/255). Suppose u*q + 2088 = 32*q. What is the lowest common multiple of 1 and q?
261
Let j = 24542 + -24448. Let d(r) = 10*r + 2. Calculate the least common multiple of d(2) and j.
1034
Suppose 0 = -5*w + 3*b - 420418, 101333 + 66829 = -2*w - 4*b. Let d = -5549363/66 - w. Find the common denominator of 26/33 and d.
66
Let i = -12913 + 24991/2. Let q = -1297/3 - i. Calculate the common denominator of q and -9/22.
66
Let n(i) = 4*i**2 - 4. Suppose 38 = 7*b + 3. Suppose -5*h = 5*z - 92 - 13, -z - 123 = -b*h. Calculate the lowest common multiple of h and n(-3).
96
Suppose -6*q - 2796 - 1164 = 0. Let t be q/(-105) + (-18)/14 + 1. Suppose -o + 45 = -2*v, -o - 3*v - 232 = -t*o. What is the lowest common multiple of 1 and o?
47
Suppose 0 = 3*y + 3*t + 480, 2*y + 3*t = 4*y + 335. Let n = y + 183. Calculate the least common multiple of n and 16.
80
Let x(m) = -9936*m**2 - 3*m + 1. Let g be x(1). Let i = 148996/15 + g. What is the common denominator of -13/24 and i?
120
What is the common denominator of 74/9 and (-3887)/9243 + ((-10)/9)/(-5)?
711
Let i = 505 - 499. Calculate the least common multiple of 2 and (-42)/21 + 4*471/i.
312
Let i(z) = 7*z + 462. Let a(r) = -3*r - 230. Let m(c) = 11*a(c) + 6*i(c). What is the smallest common multiple of 16 and m(-24)?
208
Let p(z) be the second derivative of -z**4/4 - 7*z**3/2 - 4*z**2 - 11*z. Let c be p(-6). Find the common denominator of -31/36 and ((-51)/27)/(c/(-12) + 1).
36
Suppose 0 = -o + 3*q + q - 26, -3*q = 3*o + 93. What is the common denominator of (54/o - 6/4) + 1 and 3/7 + 17685/1512?
40
Suppose 0 = 2*a - 2 + 4, 5*h - 22 = 2*a. Let r = 10 + 11. Find the common denominator of (h - 25/r) + -1 and 103/24.
168
Suppose -239*l - z = -235*l - 762, 2*l = -z + 378. Calculate the least common multiple of l and 64.
192
Suppose -2*r = 12*b - 15*b - 26, 4*b = -3*r - 12. What is the least common multiple of (-4)/72*-3 - 743/b and 4?
124
Calculate the common denominator of (-1 - 9308/(-2640)) + 8/88 and -29/362.
10860
Let g(k) = k**2 + 15*k + 23. Let j be g(-13). Let t be (312/49)/((-4)/42*j). Let s = t - 253/28. What is the common denominator of 49/4 and s?
4
Let c = -77056487/356 - -216451. What is the common denominator of c and -53/10?
1780
Let p be 100/(-38)*(-63)/252. Let s = 283/228 - p. Find the common denominator of -56/3 and s.
12
Suppose 17*m - 63 = 10*m. Calculate the lowest common multiple of m and ((-84)/96)/(10/(-1520)).
1197
Let g be (11/2)/((-10)/(-1820)). Suppose -3*u = 5*i - g, 2*i = 4*u + 208 + 208. Suppose -i = -4*r - 58. What is the lowest common multiple of 12 and r?
36
Suppose -4687 + 3919 = -64*o. What is the least common multiple of o and 102?
204
What is the smallest common multiple of (-122)/(-5) + 2/(-5) and 5/(5/12) - (164 + -155)?
24
What is the common denominator of ((-8)/((-328320)/(-155)))/(0 + 4/(-12)) and 67/22?
30096
Let v be (-4)/(11 + -3) - (-417949418)/24. Let b = -17425427 + v. Let w = b + 10878. Calculate the common denominator of 7/30 and w.
60
Calculate the common denominator of 37/16 and (54845/10080 - (-4)/(-18)) + -3.
32
Let a(y) = -y**3 + 20*y**2 + 5*y - 98. Let t be a(20). Calculate the common denominator of -38/31 and -150*t/(-43 + 1).
217
Let v be 0 - (1/(-2))/(225/(-35051135)). Let t = v + 77890. What is the common denominator of t and 14/45?
90
Let p(r) = -3*r + 30. Let x be p(0). Suppose 6 = 32*a - x*a. Suppose 0 = a*b - 0*b - 24. What is the least common multiple of b and 4?
8
Let a(r) = -r**2 - 10*r - 21. Let p be a(-8). Let u be (-2 + -3)*11/p. Suppose u*k - 14 = 9*k. Calculate the lowest common multiple of k and 11.
77
Let p = 2670 + -2466. Calculate the least common multiple of p and 8.
408
Suppose 220 = -4*h + 2*h + 442. What is the smallest common multiple of h and 1184?
3552
Let g = -245 + 263. Let b = g - 12. Suppose 5*v - 39 = -t, 2*v - 3*t - 4 = -2. Calculate the least common multiple of b and v.
42
Let t = 4842365/123 - 39369. Calculate the common denominator of t and 55/32.
3936
Calculate the common denominator of 24/7 and (170/8976)/((-3)/(-276)).
462
Let b = -197779/21 - -9422. Calculate the common denominator of b and 32/511.
1533
Let s = 1088/7 + -10369/70. Let j = 52917/8 + -6624. Find the common denominator of s and j.
40
Suppose 0 = 5*v + 15, -2*v = 2*o - 270 - 690. Find the common denominator of (-369)/o + 6/21 and (3 + 0 + 4/(-8))*4.
23
Let d be 11092/(-60) + 4/(-30). Let t = d + 359. What is the common denominator of (-28)/21*t/(-16) and 47/12?
12
Let m = -76468 + 36704659/480. Find the common denominator of 149/48 and m.
480
Let f = 68071269477853/9480 - 7180513672. Let a = 1071/79 + f. Find the common denominator of a and -43/2.
120
Let r = -28168/3 + 9367. Find the common denominator of r and -99/208.
624
Let p = -89202787/6429833053 - -2/1564817. Calculate the common denominator of 43/1761 and p.
12327
Suppose -3*j - 2 + 29 = 0. Calculate the least common multiple of 36/j + 5 + -1 and 2/((0 - 4) + 5).
8
Calculate the common denominator of 1/3 - 254/258 and ((-1464)/23058)/(2/140).
387
Suppose -i + 1 + 6 = 0. Let w = i + 4. Calculate the smallest common multiple of w and 10.
110
Suppose 0 = -5*l + 87 - 62. Suppose 29*a = 20*a - 153. Let v = l - a. What is the lowest common multiple of v and 18?
198
Suppose -21 = -3*h - 4*w, -h = -6*h + 5*w. Suppose -4*t - h*t + 189 = 0. Calculate the smallest common multiple of t and 3.
27
Calculate the common denominator of 1*(-82)/(-176)*353/4589 and -31/20.
5720
Let j = -2167 - -2191. Calculate the smallest common multiple of j and 34.
408
Calculate the common denominator of 19/44 and ((-724)/(-3258) - (-1229)/126) + (-7)/1.
924
Let y = -6120 - -12175/2. Calculate the common denominator of 27/13060 and y.
13060
Let a = -1835404/2625 + 4894/7. Calculate the common denominator of a and 62/5.
375
Suppose -535*z + 529*z = -2028. Let r = z + -248. Calculate the lowest common multiple of 30 and r.
90
Let x(u) = 53*u**2 + 3*u - 14. Let o(f) = 18*f**2 + f - 5. Let r(p) = -8*o(p) + 3*x(p). What is the lowest common multiple of 12 and r(1)?
84
Let j = 42082915/181 + -232503. Let t = j - 16233/2896. Find the common denominator of -15/16 and t.
16
Suppose 5*i - 6*k + 3*k - 138 = 0, -5*i = -2*k - 142. Let c be (-4)/i - 36/(-270). Suppose c = b - 1. What is the least common multiple of b and 1?
1
Let x = -195/139 - -1267/5560. Calculate the common denominator of x and -113/66.
1320
Suppose -5*p = -275 - 130. Let b(t) = -439*t + 6609. Calculate the lowest common multiple of p and b(15).
648
Let v = 4/129441 + 12555137/20710560. Calculate the common denominator of v and 137/1440.
1440
Find the common denominator of 24/77 and 5502/2744 - (6 - 4/1).
2156
Let v(h) = -111*h - 1882. What is the smallest common multiple of 341 and v(-17)?
1705
Let i(y) = y**2 + 14*y - 1. Suppose 36*c + 9 = 39*c. What is the smallest common multiple of 10 and i(c)?
50
Let w = 196/59 + -127/944. Let h = -996 + 4999/5. Let j = h + -53/10. Find the common denominator of w and j.
16
Let z(x) = 150*x**3 + 4*x**2 - 3*x + 1. Let s be z(2). Let j = s + -7195/6. Let d = -7235 + 86801/12. Calculate the common denominator of d and j.
12
Let b = -2/3545 + 152443/14180. Calculate the common denominator of b and -113/266.
532
Let y(s) = -s**2 - 22*s + 1. Let n be y(-20). Suppose 88 = -5*a - 2*f - n, f - 3 = 0. Calculate the common denominator of 201/a*(-1)/6*-2 and -53/6.
54
Let f = -706481/7228 + -14/1807. Let q = 86 + f. What is the common denominator of q and (14/(-12))/((-3)/(-5))?
36
Let h(o) = -8*o**3 - 8*o**2 + o + 19. Let r be h(5). What is the smallest common multiple of 18/21*r/(-36) and 77?
308
Let b(g) = 4*g**2 - 38*g - 43. Let r(i) = i**2 - 12*i - 14. Let j(l) = 2*b(l) - 7*r(l). Suppose -1 = -a - 9. What is the lowest common multiple of j(a) and 6?
12
Let p = -325 - -328. Let w = -69/8 + 12. Calculate the common denominator of w and (-45*(-4 + p))/(-1).
8
Suppose 131*d = 138*d - 14. Calculate the lowest common multiple of d and (0 - 2)*(1 - 62).
122
Suppose -9*s = -5*s - 80. Suppose -5*c = -s + 10. What is the common denominator of (-7 - 1236/(-176))