
Let z = -7 - -5. What is the common denominator of -3 + z - 148/(-24) and 19*3/12*2?
6
Let p(h) = 3*h**2 + 31*h + 15. Let d be p(-10). Suppose -19*c - d*o - 153 = -15*c, -c - 42 = 5*o. Calculate the common denominator of -13/717 and c.
717
Let g = -185 - -154. Let d = g + 39. Calculate the smallest common multiple of 14 and d.
56
Let w = -20 + 28. Suppose -w*c + 90 = -3*c. Suppose -2*z - b + 8 = 0, 18*z - 9 = 13*z + 3*b. What is the least common multiple of c and z?
18
Let f = -234 - -240. Calculate the common denominator of 648/105 + f/(-10) and 13/5.
35
Calculate the common denominator of 1804/123*(-8)/84 and (1/42)/((-150)/(-90)).
630
Let y(a) = -a**3 + 114*a**2 + 361*a - 1161. Let w = 1 + 2. Suppose 42 = w*b - b. What is the least common multiple of b and y(117)?
63
Let d = 276587/46 + -6013. Calculate the common denominator of -32/45 and d.
2070
Suppose -4*i - 4*o - 1592 = 0, 0 = -i - 4*i - 4*o - 1992. Calculate the least common multiple of 24 and (2/5)/((3 - 7)/i).
120
Let c = 165 + -200. Calculate the least common multiple of ((-36)/7)/(5/c) and 60.
180
Let b = -162 + 163. Let k(g) = 10*g**2 - 10*g + 10. What is the least common multiple of k(b) and 29?
290
Let h be (-293)/(-5) - 33/55. Find the common denominator of -131/54 and (-5 - (-115)/20)*h/45.
270
Let q be 92409/(-108) + (-35)/28. Let y = 858 + q. What is the common denominator of y and -1 - (192/(-63) - 0)?
63
Let n(u) = -12*u**3 - 48*u**2 + 6*u + 9. What is the least common multiple of n(-5) and 186?
558
Let k = -12177 + 6481. Let z = k + 4038462/709. Let s = -21999/7090 - z. Find the common denominator of s and 119/10.
10
Suppose 2*c + 2*q - 152 - 32 = 0, 0 = -5*c - q + 452. Suppose 7*o - c = -8*o. What is the smallest common multiple of o and 14?
42
Suppose 0 = -156*l + 1523 - 275. Calculate the least common multiple of 4375 and l.
35000
Suppose 0 = -31*q + 32*q - 1922. Suppose 8*c = -23*c + q. What is the smallest common multiple of 4 and c?
124
Let y(s) = -2*s**2 - 6*s + 13. Let v = 153 - 157. Calculate the least common multiple of y(v) and 40.
40
What is the common denominator of 99/112 and (-1550)/(-576) - ((110/11 - 12) + 5)?
2016
Let t = 4 + 3. Suppose 152 = 4*z - 5*y, -4*z + y + 103 = -z. Calculate the least common multiple of t and 6/z + (-75)/(-11).
7
Let x = 10312 - 7646. What is the lowest common multiple of x and 473?
29326
Let c = -6043 + 7093. Calculate the lowest common multiple of c and 770.
11550
Find the common denominator of -131/24 and (1377/(-57105))/(2/5).
1128
Let s(p) = -5*p - 150. Let j(i) = i - 25. Let y be j(-17). What is the smallest common multiple of 60 and s(y)?
60
Let i(u) = -3*u**2 + 49*u - 27. Let a be i(21). Let o = -303 - a. Calculate the lowest common multiple of 66 and o.
198
Let a = -4698 + 465098/99. Find the common denominator of 89/72 and a.
792
Let q(s) = -5*s**3 + 3*s**2 + s - 1. Let n(g) = 5*g**2 - g - 2. Let k be n(-2). Suppose 0 = -3*o - k + 74. What is the lowest common multiple of o and q(-1)?
18
Find the common denominator of (-1)/(-28)*10584/672 and -101/10.
80
Let x = 45607/2 + -22830. Find the common denominator of x and 15/2348.
2348
Suppose -7*h = -6*h - 12. Calculate the least common multiple of (-2 - -2) + (-6864)/(-26) and h.
264
Suppose g = -3*c - 32, -5*c - 32 - 8 = -5*g. Let w = -6310/7 - -906. What is the common denominator of w and c/(-20)*(-84)/(-10) + 1?
35
Suppose 9*k - 1636 - 5222 = 0. Let p = k - 720. Calculate the least common multiple of p and 6.
42
Let l(g) = 161*g - 2230. What is the least common multiple of l(14) and 432?
432
Suppose 0*y + y = -1, r - 5*y - 398 = 0. Suppose -r = -16*l + 167. What is the lowest common multiple of 9 and l?
315
Find the common denominator of 1395*26/230945 + -2 + (-60)/(-33) and -9/1445.
27455
Find the common denominator of (-226)/(-8136)*(-1002)/680 and -6/25.
20400
Let p = -8311/3454 - 5/1727. Calculate the common denominator of p and 47/8.
88
Find the common denominator of -149/648 and (87/(-270))/((-11)/(1925/(-42))*-5).
648
Let z = 530261 - 489961345/924. Find the common denominator of -85/168 and z.
1848
Let y(b) = b**3 - 7*b**2 - 8*b - 33. Let h be y(8). Calculate the common denominator of (174/(-17))/(25 + h) and 85/12.
204
Suppose 9*j - 4*j = -d + 28, 4*j = -5*d + 224. Suppose x + d = 3*x. Suppose 0 = -9705*o + 9628*o + 1540. What is the least common multiple of x and o?
120
Suppose 225*u - 728707 - 296874 + 42781 = 0. What is the smallest common multiple of u and 280?
21840
Let w = -288 - -310. Calculate the smallest common multiple of w and (-22)/(-4)*(19 + -15).
22
Let k = -167234/33 - -5069. What is the common denominator of k and 47/2453?
7359
Let h = 125 + -55. Suppose -2*d - 2*p = -0*p - h, 0 = 5*d + 2*p - 166. Let j = 124 - d. What is the smallest common multiple of 6 and j?
276
Let i(b) = 2*b**2 - 6*b + 24. Let g = -49 - -61. What is the least common multiple of i(18) and g?
564
Suppose -k = 137*j - 133*j - 129, -4*k = 5*j - 153. What is the smallest common multiple of 1206 and j?
13266
Let i be (-1 - -2)*-1 + (2 - 1). Suppose i*s + 4*h = -2*s + 42, 3*s - 4*h = 93. What is the lowest common multiple of 69 and s?
621
Suppose 0 = -5*r + 654 + 241. Let o = r + 9. Calculate the lowest common multiple of 10 and o.
940
Let s be -2*((-9)/15 - 1/(-10)). Let n(h) = 19*h + 2. Let r(u) = -u - 1. Let c(a) = s*n(a) - r(a). What is the common denominator of c(2) and -71/27?
27
Calculate the common denominator of -25/72 and (438/657)/(68/39).
1224
Suppose 75*z - 8689 = 6836. What is the smallest common multiple of 3 and z?
207
Let s(x) = -x + 8. Let n be s(-11). Let q = 19 - n. Suppose 3*g - 6*g + 3 = q. What is the smallest common multiple of 11 and g?
11
Let t be (-2)/(-64)*(-9 + (-10016001)/(-45)). Let r = t - 6957. Find the common denominator of r and -26/15.
120
Let q = -59 - -68. Find the common denominator of 52/99 and q - (-3 + (-137)/(-9)).
99
Suppose -g - 1 = -7. Let h(q) = 25*q - 204. Let b be h(22). Suppose -b*k + 350*k - 40 = 0. Calculate the lowest common multiple of k and g.
30
Find the common denominator of 11 - ((-3610500)/13248)/(-25) and 107/76.
20976
Let y(i) be the first derivative of i**4/4 + i**3 - 31*i**2/2 + 5*i + 247. Calculate the smallest common multiple of y(5) and 50.
50
Let z(l) = -2*l**3 - l**2 - 4*l - 3. Let k be z(-2). Let o = k + -19. What is the common denominator of 1/2 and o/18 + 15/(-27)?
6
Suppose -1880 + 10898 = 162*o - 144*o. What is the least common multiple of o and 114?
19038
Let a = -18310 + 439579/24. What is the common denominator of 1*143*5/120 and a?
24
Let b = -508 - -623. Find the common denominator of -16/85 and ((-182)/(-50))/(46/b).
170
Let j = 361 - 271. Suppose j = -412*h + 415*h. Calculate the smallest common multiple of 18 and h.
90
Let i(f) = -26*f - 3*f - f - 50 + 2*f. Let x be i(-6). Let p = -108 + x. What is the lowest common multiple of 10 and p?
10
Let k = -25903051/39468 - -21656/33. Calculate the common denominator of k and 7/92.
1196
Suppose 0 = -4*n - u + 29, 0 = -5*n + 3*u + 60 - 11. Calculate the lowest common multiple of 40 and n.
40
What is the lowest common multiple of (-101)/(-1010)*(10 - 0) and 834?
834
What is the common denominator of 3 - (-25)/(119625/(-13343)) and -5/72?
10440
What is the common denominator of (-1)/(-7)*((-123)/(-21) + 2) and -43/21?
147
Let q be (26/3)/((-28)/(-42)). Suppose q + 83 = 24*c. Let g = -2 + 3. What is the least common multiple of g and c?
4
Suppose 5*l - 4*c = 193, -2*c = -4*l - 6 + 152. Let p(d) = 6*d**2 - d - 1. Suppose -4*i + 6 = -2. Calculate the least common multiple of p(i) and l.
231
Let d = -6583329/121 + 54408. What is the common denominator of -32/3333 and d?
36663
Let q = 442157/24 - 18426. Let g be (-60192)/187 - 4/34. Let z = g + 2491/8. Find the common denominator of q and z.
24
Let j be 210/28*10433/36. Let y = j + -2179. What is the common denominator of 63/(-6)*189/343 and y?
168
Let h = 2/3466233 - 27345893/2020813839. Find the common denominator of 57/2332 and h.
20988
Let w = -40051 - -720829/18. Let b = 1 + -2. Calculate the common denominator of w and (-141)/(-9) - -3 - b.
18
Suppose -6*l + 109 + 479 = 0. Suppose 21*w + l = 28*w. What is the lowest common multiple of 28 and w?
28
Let f = 4 + 1. Let o be (-160)/60*870/(-4). Suppose 10*