5
Suppose 14*x = 16*x - 2*b - 56, -x = b - 16. Calculate the smallest common multiple of x and 14314.
157454
Suppose 2*s = 2*t - 42, -20*s + 15*s + 15 = 3*t. What is the lowest common multiple of t and 735?
735
Let h = 14 + -10. Suppose -z + h = -5*z. What is the common denominator of -48/5 and z/(4/3)*188/(-12)?
20
Let i = -751/182 - 16/13. Let l = -112 - -738/7. Calculate the common denominator of l and i.
14
Let a = -251 + 255. Let p be (8/6)/(9/(-324)). Calculate the smallest common multiple of (-1)/(2/p*1) and a.
24
Let x = 10 + -13. Let f(g) = 8*g**2 + g - 3. Let r = 42 + -30. Calculate the smallest common multiple of f(x) and r.
132
What is the smallest common multiple of 2 and (-4 - (-15140)/28) + (-56)/(-196)?
1074
Suppose 399*n - 456*n + 5244 = 0. Calculate the least common multiple of n and 18.
828
Let u = -283 - -295. Suppose 4*t + 222 = 5*m, 0 = -3*m - 4*t + 102 + u. What is the smallest common multiple of m and 35?
210
Let x = -1 + 15. Let f be 3/((-27)/36)*163/4. Let v = f + 175. What is the lowest common multiple of v and x?
84
What is the common denominator of -83/3302 and 52/85852*(24/(-36) - (-10)/6)?
3302
Let b be (1 - 0/(-1))/4. Let m = -73/4 - b. Let q = m + 109/6. What is the common denominator of q and 25/6?
6
Let o = 7315 + -6725. What is the smallest common multiple of o and 354?
1770
Calculate the least common multiple of 464 and (200/(-75))/((-2)/57).
8816
Let i be 206/(-17) + 1/(51/6). Let w(k) = 45*k - 3. Let b be w(-3). What is the common denominator of (1/3 - 1)/(i/b) and 25/11?
33
Suppose -5*q - 2*j = -7*j - 145, 0 = -q + 4*j + 44. Suppose -83*g + 47*g = -432. Calculate the smallest common multiple of q and g.
24
Suppose -8*j + 121 - 33 = 0. Suppose -j*k = -k - 330. Calculate the smallest common multiple of k and 96.
1056
Suppose 9*l - 31875 + 1207 = -155*l. What is the least common multiple of 11 and l?
187
Let b = -9775 - -156347/16. Calculate the common denominator of b and -59/1584.
1584
Let o = -30359/45468 + 13/1263. Calculate the common denominator of 65/93 and o.
3348
Let a be (-198)/6*(-6)/9. Suppose 0 = 4*m - 2*m + 4*g - 14, -2*g + 11 = -3*m. Calculate the common denominator of ((-91)/a)/m - 5 and -55/14.
154
Let a = -479 - -538. Suppose a*x - 189 = 52*x. What is the least common multiple of x and 36?
108
Let x = 1/773 - -19258/51791. Find the common denominator of (-474)/24*4/(-2) and x.
134
Let j(w) = -w**3 + 64*w**2 + 346*w + 43. What is the smallest common multiple of j(69) and 8048?
56336
Let i = -19597421/11790 + 238/5895. Let v = 1676 + i. Let a = 5503/42 + -397/3. Calculate the common denominator of a and v.
42
Let v be ((-40)/16)/(-5)*-6. Find the common denominator of -59/99 and (v/198)/((-6)/(-268)).
99
What is the lowest common multiple of 76128/(-183)*(-2)/8 and 646?
33592
Let b(k) = 22*k**2 + 3*k - 2. Let z be b(2). Suppose -z = -4*o - 12. Suppose 0 = o*r - 13*r - 133. What is the lowest common multiple of r and 4?
76
Let t = -100651/10 + 10064. Let b = -4349/30350 - -2/607. Find the common denominator of t and b.
50
Let v(x) = x**3 + 16*x**2 - 15*x - 24. Let c be v(-16). Suppose 5*f = -f + c. Calculate the lowest common multiple of f and 60.
180
Let j(y) = -2258*y**2 + 6*y + 5. Let c be j(-4). Let n be 0 + (-6)/56*c. Let w = 3875 - n. What is the common denominator of w and 31/10?
140
Suppose -3513 = -32*b + 3687. Suppose -105 = -2*o - 5*n, -5*n = -o + 6*o - b. Calculate the smallest common multiple of 5 and o.
40
Let l(t) = t**2 + 3*t - 5. Let j(d) = -6*d**2 + 123*d + 5. Calculate the least common multiple of l(-5) and j(0).
5
Calculate the smallest common multiple of 17/((-17)/6)*(89/(-2) + 2) and 714.
3570
Suppose 3*b - w - 14 = 0, 0 = b + 4*w - 5 + 9. Suppose -784 = -b*t - 3*t. Calculate the least common multiple of (-6)/(12/(-3) + 427/t) and 20.
160
Let r(z) be the second derivative of z**4/12 - 5*z**3/6 + z**2 - 3*z. Let t be r(5). What is the common denominator of 99/8 and 1 + t + (-12)/(-60)?
40
Suppose -45 = 6*m - m. Let z = -197/42 + 11/6. What is the common denominator of z and 73/m - (0 + -3)?
63
What is the lowest common multiple of 42 and (1075 - 25)*7/21?
1050
Suppose 5762*m = 5697*m + 2600. What is the smallest common multiple of 492 and m?
4920
Let q = 437/219 + -22529/6132. Let u = -4854 - -198. Let y = 74527/16 + u. What is the common denominator of q and y?
112
Suppose u - 27 = -22. Let z(b) = 2*b**2 - 3*b + 7. What is the smallest common multiple of 21 and z(u)?
42
Suppose -14 = -6*i + 16. Suppose 14 = 3*r - 2*v, -5*r + 0 = -i*v - 15. Let b = -7 - -18. Calculate the smallest common multiple of r and b.
88
Suppose -926*b + 892 - 3544 = -930*b. Suppose -2 = 3*p + 1, 0 = -5*v - 4*p + 6. Calculate the lowest common multiple of v and b.
1326
Suppose -3*i + v + 361 = -v, 2*v = -4*i + 486. Suppose 23*n - 5472 - 1381 = -66*n. What is the lowest common multiple of i and n?
847
Suppose 0 = -0*c - 11*c - 1430. Let a = 130 + c. Suppose 3*w - 12 - 91 = -5*q, a = -4*q + w + 79. What is the least common multiple of q and 12?
60
Suppose -2477 = -382*c + 116707. What is the smallest common multiple of 416 and c?
1248
Let j = 22507276/7481955 - 7682/40885. Let b be 5 + (243/(-61) - (-92)/(-138)). Let c = b - j. Find the common denominator of c and 7/4.
68
Suppose -98*w - w + 155100 = 11*w. What is the lowest common multiple of w and 423?
4230
Let z = 7349 + -3105. Suppose 21*q - z = -1535. What is the least common multiple of q and 2?
258
Let j be -1 + -2 - (588/7)/(-7). Suppose -z - 1 = -3, -2*b + 3*z = -36. Suppose -b*r = -24*r + j. What is the lowest common multiple of r and 6?
6
Suppose -71*l = -3445 - 2519. What is the lowest common multiple of 42 and l?
84
Let q = 984/29 + -63929/1914. Calculate the common denominator of (-4 - 0) + 352/(-960) and q.
330
Let a(n) = n**3 - 8*n**2 + 1. Let z be a(5). What is the common denominator of (z/(-8))/(969/152) and 14/33?
561
Let s(m) = -144*m + 4 + 76*m + 69*m. Calculate the smallest common multiple of 8 and s(0).
8
Let o(v) = -3*v**3 - v - 2. Let h be o(-1). Let a = -128 + h. Let c = 132 + a. What is the least common multiple of c and 2?
6
Find the common denominator of (-50)/(-1380)*(-225)/(-18) and -81/46.
276
Let r(k) = 9*k**2 + 9*k + 141. Let m be r(-13). Let s = 468067/303 - m. Calculate the common denominator of s and -34/21.
2121
Let p be (7/(-2))/((-180)/65 - -2). Let r = -3429/1724 + 250904/23705. Let z = r - p. What is the common denominator of z and -37/2?
22
Let o = 110641/20 + -5537. What is the common denominator of o and -41/36?
180
Calculate the common denominator of (-1117)/(-7176) - (-190)/(-1235) and 59/18.
1656
Let m be -13 + 3 - (-1 + -2). Let i(g) = -12*g + 17. Let q be i(m). Find the common denominator of (q/50)/((-6)/15) and 35/34.
340
Let m(d) = -92*d - 612. Let f be m(-8). Let l = 2 - 0. Find the common denominator of 29/134 and f/(-24) + l/2.
402
Let k = 1/4048 - -61727/20240. Calculate the common denominator of k and 27/(-5 - -4)*(-7)/(-56).
40
Let d = 56 + -54. Suppose d*p + 2*f = 26, 2*p + 2*f - 31 = -f. Let l = 424 + -412. What is the least common multiple of l and p?
24
Let b = 3663573/10 + -366369. What is the common denominator of (-17)/(-12) - (-2 - 0) and b?
60
Let l be (8/(-6))/((-4)/72). Suppose 0 = -r - 3, -5*n + 4*r - l = -71. Suppose -4*i + n*i - 12 = 0. What is the least common multiple of 2 and i?
4
Let w = 176/169 + -11337/338. Let p(u) = -5*u - 5. Let s be p(-5). Calculate the common denominator of (2 - 0)/(s/3) and w.
10
Suppose a = j - 1 + 10, -3*a - 5*j + 3 = 0. Suppose a = q - 2. Find the common denominator of (q/(-16))/((-22)/(-82)) and -99/20.
220
Let l be ((-48)/144)/(-1 - 11/(-12)). Let p be 2*-30 - 0/l. Let v = 68 + p. What is the least common multiple of 5 and v?
40
Suppose x + 41 = 5*w, 0*x = w - x - 5. Suppose -36 + 0 = -w*g. Suppose 0 = -g*a + 30 + 50. Calculate the smallest common multiple of 12 and a.
60
Let p = 3665 - 3645. Calculate the smallest common multiple of p and 57400.
57400
Let h = 1853 - 1818. What is the lowest common multiple of h and 1215?
8505
Let i = -9362961/93704 + 5299/53. Find the common denominator of i and -1/221.
1768
Let d = 1 - -3. Suppose d*s - 9*s = 0. Suppose s = 5*p - 5*l - 40, 5*p + 4*l = p + 16. What is the smallest common multiple of 2 and p