 of 1280 and (65 - -305) + (12 - -2).
3840
Let a(n) = n**2 - 18*n - 83. Suppose 3*p - 38 = -v, 4*p + 51 - 2 = 3*v. Let z = -10 + 30. Calculate the least common multiple of a(v) and z.
160
Let z(b) = 2*b**2 - 23*b + 86. Suppose -2*d + 27 + 5 = 0. Calculate the lowest common multiple of z(6) and d.
80
Let j(o) = 2*o. Let y(t) = -15*t + 19. Let q(m) = -5*j(m) - y(m). Let u be (-3)/(39/(-15) - -2). What is the smallest common multiple of 3 and q(u)?
6
Suppose -3250 + 2390 = -43*a. What is the lowest common multiple of a and (-2)/(-6) - (-213)/9?
120
Suppose 4*r = 3*x + 10652, 7988 = 3*r - 21*x + 19*x. Calculate the smallest common multiple of 3040 and r.
21280
Let s be (33252/504)/(2/(-6)). Let c = s - -196. Calculate the common denominator of c and 3 + ((-194)/48 - 45/60).
168
Let r = 377 - 246. What is the lowest common multiple of 4 + (-7)/(4 + 3) and r?
393
Let w = 4232545/117 - 36175. Find the common denominator of w and -7/57.
2223
What is the common denominator of -59/5352 and 4471/(-18732) + (-3)/(-4)*(-18)/(-54)?
37464
Find the common denominator of 74/36 - (-5)/3*144/(-30) and (-4)/(-18) + 35/(-198).
198
Let r be 0/(-2)*(-1 - (-6)/4). Let k = r - 48. Calculate the common denominator of -29/6 and 223/k + -7 + 66/9.
48
Let f = -1919981/58421312 + -1/503632. Find the common denominator of 63/290 and f.
9280
Let j = 64460 - 7219567/112. Calculate the common denominator of 113/1120 and j.
1120
Let y(u) = -u**3 - 14*u**2 + 118*u + 1644. Suppose 2*s = 4*s - 162. What is the least common multiple of y(-15) and s?
891
Suppose -3*h = k - 278 - 357, 430 = 2*h - k. Let z = h - 1906/9. Find the common denominator of z and 7/6.
18
Let u(c) = -4*c + 2. Let z be (-64)/28 + 1 + (-8)/(-28). Calculate the lowest common multiple of 121/17 + 10/(-85) + z and u(-2).
30
What is the common denominator of 48 - ((-65)/(-4) - -45) and 51/(-35)*(-3)/(-9)?
140
Let b(q) be the second derivative of q**5/20 + 11*q**4/12 - 5*q**3/3 - 37*q**2 - 24*q. What is the lowest common multiple of b(-11) and 10?
180
Let j(p) = 14*p + 36. Let f be 5 - 11 - (-18)/2. Calculate the smallest common multiple of j(f) and 12.
156
Let w = -23 + 24. Let p(k) = 4*k + 4. Let j(y) = -y + 4. Calculate the smallest common multiple of j(-16) and p(w).
40
What is the smallest common multiple of 280 and 70/8*(-20 - -2 - -82)?
560
Suppose 0 = -9*d + 194 - 95. Suppose -178 - 262 = -d*j. Calculate the smallest common multiple of j and 40.
40
Let k(a) = 2*a + 18. Suppose 0 = 7*t + 22 + 34. Let d be k(t). What is the lowest common multiple of 38 and d - -4 - (-3 + 3)/5?
114
Let b be 12/8*350/15. Find the common denominator of (b/135)/((-2)/15) and ((-210)/63)/((-4)/57).
18
Let w = -1082807/248 - -17463/4. Calculate the common denominator of -79/310 and w.
1240
Suppose -f + 2122 + 7405 = 8*x, 5*f - 47561 = -3*x. Calculate the lowest common multiple of f and 2.
19022
What is the common denominator of 41/3341 and (-144)/(-10)*(-500)/300?
3341
Let o(z) = -2108*z - 15. Let g be o(4). Let r = 185917/22 + g. Find the common denominator of r and 6/264*51/(-2).
88
Let m be (0 - -7)/(5535/4044). Let l = 2/615 - m. Find the common denominator of (25 - 12)/(34/(-6) - -2) and l.
99
Suppose 2*d - 5 = -3*m + 10, 2*d = 0. Suppose m*q + 235 = -435. Find the common denominator of q/24 - (3 - 6) and -31/40.
120
Suppose 4 = 4*s, -3*n - 2*s + 44 = 15. What is the smallest common multiple of n and 10?
90
Suppose -5*u = 25, -6*i + u + 10 = -i. Suppose -5*o - 4*f = -o - 32, 2*o + 4*f = 14. Find the common denominator of 53/4 and (123/o)/(i + 0/1).
12
Let x = -1203/944 + -135/59. Let y = 1751407/253830 + 2/25383. Find the common denominator of y and x.
80
Suppose 5*c + p = 112, 4*c - 100 = -c + 5*p. Suppose -5*m - 186 = -6*m. Suppose 13*v = -18*v + m. What is the least common multiple of c and v?
66
Let a = -2522 - -2537. What is the lowest common multiple of a and 952?
14280
Suppose 77*w - 75*w + 6 = 0, -y + 3*w + 39 = 0. Calculate the least common multiple of 2301 and y.
23010
Let z = -5346 - -994309/186. Calculate the common denominator of -95/42 and z.
1302
Let z(a) be the third derivative of -a**4/12 + 5*a**3 + 10*a**2. Let v be z(18). Calculate the lowest common multiple of 8 and 24/v*(-2)/2.
8
Let t(p) = 4*p**2 - 2*p - 6. Let k be t(2). What is the common denominator of (32*(-4)/k)/(-3 - -1) and (708/1260)/(18/21)?
90
Let d = 700 + -656. Let g(n) = -14*n - 2. Calculate the lowest common multiple of d and g(-8).
220
Suppose u + c + 3 + 5 = 0, 0 = -2*u - 5*c - 4. What is the common denominator of -61/62 and u/(-90) + (-2372)/240?
124
Let u be (4 + (-132)/30)*10. Let k be (u - 6) + (6 - 6). Calculate the least common multiple of 13/(((-2)/k)/(21/35)) and 18.
234
Let g = -12 + 17. Suppose g*w - 45 = -a - 2*a, 0 = -3*w + 5*a - 7. What is the smallest common multiple of (-4)/(-24) - 179/(-6) and w?
30
Let q(t) = 76*t. Let f be q(-2). Let c = -139 - f. What is the least common multiple of c and 65?
65
Let h(k) = -k + 7. Let y be h(7). Suppose 3*v = 9 - y. What is the lowest common multiple of 1/v + 33/9 and 4?
4
Let y = -2781355/189 - -14716. What is the common denominator of 157/1134 and y?
1134
Let d = 86 + -84. Let o(r) = 324*r - 20. Let z be o(d). Let h = z + -422. Calculate the lowest common multiple of h and 14.
1442
Let u be 3*8628/(-54) - 2/(-6). What is the common denominator of 67/126 and u/84 + (-35)/(-7)?
252
Let s = -380 - -460. Calculate the common denominator of (20/s)/(27/40) and -145/24.
216
Let l = -125 - -127. Suppose -l*i + 2741 = 12101. What is the common denominator of 10356/i - (-4)/(-26) and -46/15?
30
Let i = -40 + 35. Find the common denominator of -2 - ((-2140)/(-24))/i and (-666)/(-572) + 4/26.
66
What is the smallest common multiple of (-1 + (-138)/(-8))/(480/1536) and 8?
104
Let x = -2/1483 - -108283/17796. What is the common denominator of x and -49/15?
60
Suppose -8*b + 1443 = -1138 + 645. What is the smallest common multiple of b and 2?
242
Let v = 7578959443409/186 - 40747407043. Let i = -313262 - v. What is the common denominator of i and -2/27?
1674
Let a(c) = -c**2 + 14*c - 33. Let x be a(3). Find the common denominator of -7/50 and (x + (-9)/42)/((-60)/(-147)).
200
Suppose 0 = -10*c - 18 + 98. Suppose -5*n = -z, -3*z = -n - n - 13. Calculate the least common multiple of z and ((-8)/(-3))/(c/12).
20
Let w(g) = 15*g**2 + 15*g + 70. Calculate the least common multiple of 100 and w(6).
700
Let y(r) = 0*r**2 + 4*r + 2*r**2 + 83*r**3 + 12 - 84*r**3. What is the lowest common multiple of y(0) and 84?
84
Suppose -4*q + 1768 = -8*q + 17*q. Suppose 5*d - 2*d + c = 106, 2*d - 2*c = 60. Calculate the lowest common multiple of q and d.
136
Suppose -3*g - 5*k - 3 = 1, 3*k - 2 = -4*g. Suppose 11 = 2*s + t, -t - 1 = g*s - 4*t. Let u = 8 + s. Calculate the smallest common multiple of u and 4.
12
Let l = 47 - 20. Suppose -2*n - 3*j = -2*j - l, -5*j + 9 = n. Suppose n = d - 4*b, -5*d + 4*b + 48 + 22 = 0. What is the least common multiple of 6 and d?
42
Let z(p) = -14*p + 6. Let n(w) = -2*w. Let c(v) = 6*n(v) - z(v). Let a be c(19). Suppose -9*x = -10*x + a. Calculate the common denominator of x and -40/9.
9
Suppose 0 = 4*m + f - 148, -5*m - 4*f + 9*f + 160 = 0. Suppose i + 4*o = 12, 0*o = -3*i + 2*o + m. What is the smallest common multiple of i and 22?
132
Suppose -2*z + 4*p = -3388, 5*z - 9342 = 4*p - 824. Calculate the lowest common multiple of z and 42.
11970
Let i(o) = -114*o**2 + 4*o + 6. Let k be i(3). What is the common denominator of -9 + (-7)/(k/1878) and 2/10 + 188/(-30)?
120
Suppose 2*x - x - 2*z = 0, 0 = -5*x - 3*z + 65. Suppose 72*i - 30 = 70*i. What is the smallest common multiple of ((-8)/(-2))/(-1 - i/(-9)) and x?
30
Let l(t) = -38*t - 80. Let z be l(-6). Suppose z = 36*n - 1148. What is the smallest common multiple of n and 156?
468
Find the common denominator of ((-67)/(-3))/(17 - 24) and ((-1)/21)/(-3 - (-4959)/1659).
126
Find the common denominator of 10 - (-10)/((-2080)/3133) and -143/4434.
35472
Let a = -2417/10 - -1769/10. Let r be -2 - ((-2978)/60 + 2). Let b = a + r. Find the common denominator of b and -67/6.
6
Suppose 2*o - 2 = 0, -2*o + 0 = -2*m - 2. Find the common denominator of ((-480)/18)/(-2) - (-4)/8 and ((-165)/(-48) - m) + 1.
48
Let w = -3/1747 + -76823/26205. What is