nd -31/11.
132
Suppose 4*k + k - 20950 = 0. Let s = k + -75517/18. Let b = -439745/32574 + -2/16287. What is the common denominator of s and b?
18
Suppose 4*x - 58 = 2*t + 26, -132 = 4*t + x. Let r = -29 - t. Suppose -3*i - r*q = -q - 18, -5*i + 7 = -q. Calculate the lowest common multiple of i and 2.
2
Let q = -5 - -7. Suppose -2*n + 15 + 35 = q*p, -5*p + 141 = -3*n. What is the least common multiple of p and 12?
108
Let z(w) = 2*w**2 + 10*w - 8. Let n be z(-6). Suppose -145 = -5*f - 5*h, -90 = -5*f - n*h + 59. What is the least common multiple of 30 and f?
330
Let t be 0 + (-3)/(6/2). Let f = t + 6. Suppose 3*n - 7*n - 64 = 4*z, 2*z = -f*n - 26. Find the common denominator of -17/6 and z.
6
Let i be -1 + 0 + 581/573. Let r be (394737/42)/(1/((-2)/8022)). Let g = i - r. Calculate the common denominator of -97/22 and g.
154
Let i = 4075 + -57097/14. What is the common denominator of (-2)/4 - 90/(-34) and i?
238
Let l = -119 - -91. Find the common denominator of 40/7 and (31/l)/(4/8).
14
Let b(d) = 17*d + 182. What is the smallest common multiple of b(-10) and 24?
24
What is the common denominator of 5/(-2)*(-67)/(-10050) and 43/40?
120
Let o = -13 + 31. What is the common denominator of (-14)/21 - (-89)/o and (-10)/7 + 3/6?
126
Calculate the common denominator of (23/(-120))/(101/303) and 43/24.
120
Suppose 0 = -2*s + s - 1. Let l(k) = 8*k**2 + k + 2. What is the lowest common multiple of l(s) and 5?
45
Let n be (20 + 0)*9/12. Calculate the lowest common multiple of 20 and (-6)/(-4)*20/n.
20
Let z(v) = -3*v**3 - 2*v**2 + v - 1. Let a be z(-2). Suppose 51 = 4*x - a. Calculate the lowest common multiple of 13 and (-12)/x - 47/(-4).
143
Let y(x) = -x**2 - 21*x - 1. Let m be y(-20). Find the common denominator of 16/33 and 4/(-168)*2*m + 0.
231
Suppose -p = 3 - 4. Suppose -2*s = o + p, -4*o + 4*s + 0 = -20. Calculate the smallest common multiple of ((-9)/o + -3)/(-1) and 16.
48
Suppose 1344 - 9912 = -4*y. Calculate the common denominator of 8/44 + y/440 and 29/22.
220
Suppose 0 = 31*x - 10*x - 42. What is the least common multiple of x and (-12)/15 + 9/((-135)/(-102))?
6
Calculate the common denominator of 12/((-3)/5 - (-148)/80) and 5/859.
4295
Let c(r) = -88*r. Let n be c(1). What is the common denominator of 118/n + 0/(-9) and -7/22?
44
Suppose 8*x = -16*x + 1968. What is the lowest common multiple of 7 and x?
574
Let j be 3 + -3*8/6. Let q = 14 - j. Suppose -q*r = -10*r - 50. What is the lowest common multiple of r and 4?
20
Let q = -2 + 5. Let x be q/204 + 3 + -3. Let r = 21/17 + x. Calculate the common denominator of -49/6 and r.
12
Let h(x) = 3*x**2 - 74*x + 70. Let v be 2*2*45/(-6). What is the lowest common multiple of (16/(-10))/(3/v) and h(24)?
176
Find the common denominator of -57/22 and 23/(-92) + 310/72.
198
Let m be -3 + (0 - (-4 - -1)). Let o be m*2*1/(-2). Let i(x) = x**3 - x + 9. Calculate the least common multiple of i(o) and 4.
36
Suppose 0 = -4*k - 20, -5*u = 4*k + 49 - 159. Suppose -5*l + u = -144. Calculate the least common multiple of l and 22.
374
Suppose 0 = 5*y - 5*d - 1720, -935 = -3*y + 5*d + 95. Let i = 136169/3060 - -1/3060. Calculate the common denominator of y/80 + (-2)/4 and i.
16
Let q be ((-4)/162)/(392/1463846564). Let k = q + 92205. Let a = -448417/79380 - k. Calculate the common denominator of -89/10 and a.
20
Let q be 2 - ((-198420)/32 - -1). Let s = q + -6212. Calculate the common denominator of s and -7/6.
24
Let g = 176 - 66. Suppose -6*m = 5*m - g. What is the smallest common multiple of m and 68?
340
Let g(v) = -3*v - 4. Let a be g(-8). Find the common denominator of (-46)/a + (-12)/(-20) and 3/4.
20
Let f = -586/147 + 88/49. What is the common denominator of 43/3 and f?
21
Let d = -659 - -691. Calculate the least common multiple of 16 and d.
32
Let v = 765 - 518. Calculate the common denominator of (-38)/v + (-1054)/(-260) and -67/10.
10
Let t = 744/23 - 9073/230. Find the common denominator of t and 11/19.
190
Let a = 10256 - 153899/15. Calculate the common denominator of -145/546 and a.
2730
Let c(u) = u**2 - 29*u + 243. Calculate the smallest common multiple of c(20) and 45.
315
Find the common denominator of 5 - (2584/576 + 2) and 41/6.
72
Suppose 35 = -5*g - 65. Find the common denominator of 123/10 and (-82)/g + 4 + -3 + 0.
10
Let r = -907 + 942. What is the smallest common multiple of 140 and r?
140
Let q(t) = -25*t**2 + 9*t + 4. Let s be q(6). Let l = -6727/8 - s. What is the common denominator of l and (10/18)/((-4)/46)?
72
Let j be (1 + 461 - -1) + -1. What is the common denominator of 6/9*j/32 and -9 - (30825/54)/(-25)?
24
Suppose -21*j = -15*j - 270. Calculate the common denominator of 57/8 and 11/(-44)*j/(-12).
16
Let g(w) = -w + 21. What is the lowest common multiple of g(-11) and 36?
288
Let o be -45 + (-2)/(32/12)*4. Let t = 265139/16 - 16566. Calculate the common denominator of (1100/o)/(-11)*-5 and t.
48
Let w be (-1587)/756 + 12/(-54). Let c = 711/56 + w. Calculate the common denominator of (-4)/(-8)*(-50)/4 and c.
8
Suppose 495 = 5*f + 5*y, y - 15 = 4*y. What is the lowest common multiple of 16 and f?
208
Let d(w) = w + 13. Let h be d(17). Suppose -10*x + 5*x = -h. Calculate the smallest common multiple of x and 12.
12
Let z(t) = 9*t**2 - 5*t - 9. Let r(p) = 4*p**2 - 3*p - 5. Let x(q) = 5*r(q) - 2*z(q). Let s = 17 + -13. Calculate the least common multiple of x(5) and s.
36
Let y = 17770 + -1688178/95. What is the common denominator of y and -13/50?
950
What is the least common multiple of 92 and ((-180)/(-42))/(15/70)?
460
Suppose -2*u = 4*l - 24, -6*l - 2*u + 29 = -l. Suppose 0*d - 10225 = -l*d. Let k = d + -8121/4. What is the common denominator of k and 53/10?
20
Suppose 0*b + 2*b + 142 = 0. What is the common denominator of -7/33 and (b/6)/(5/(-3))?
330
Suppose 20*a - 6*a = -112. Find the common denominator of 35*(a/28)/((-4)/(-7)) and -67/14.
14
Let w(q) = -53*q + 448. What is the least common multiple of w(8) and 48?
48
Let i = -648 - -657. What is the least common multiple of i and 192?
576
Suppose -55*x = -56*x + 14. Calculate the lowest common multiple of 192 and x.
1344
Let d(c) = -c**3 - 3*c**2 - c**2 - 1 + 3 - 2*c + 5*c**2. Calculate the smallest common multiple of 40 and d(0).
40
Suppose -30*z = -27*z - 21. Calculate the least common multiple of z and 35.
35
Suppose -n - n + 174 = 2*k, -5*n = -2*k + 174. Calculate the lowest common multiple of 174 and k.
174
Suppose 0 = -f - l - 46, f + 0*l = 4*l - 71. What is the common denominator of -4/3 and (f/16)/((-81)/(-36))?
12
Let c = 190 - 145. Calculate the least common multiple of 81 and c.
405
Suppose -331 = -27*s + 344. What is the lowest common multiple of s and 23?
575
Suppose -t + 10 = -0*t. Let v(m) = -8*m + 21. Calculate the least common multiple of v(2) and t.
10
Suppose -2*t = -3*h - 46, 29 = 3*t - 3*h - 37. Suppose 6*q = 4*q + t. Calculate the least common multiple of 326 and q.
1630
Suppose 5*u - 18 = 4*u. Calculate the least common multiple of 11 and ((-4)/(-6))/(2/u).
66
Let a = 607 + -510. What is the least common multiple of a and 4?
388
Let t = 3/1829 + 34721/18290. What is the common denominator of -43/21 and t?
210
Let j(z) be the first derivative of z**2/2 + 5*z - 6. Let u be j(0). Suppose 0 = 6*r - u*r - 8. What is the lowest common multiple of 2 and r?
8
Suppose -2*c + 0*c + 160 = 0. Let d = 28 + -22. What is the least common multiple of d and c?
240
Suppose 8*q + 480 = 68*q. What is the least common multiple of 516 and q?
1032
Suppose -196 = -4*r + 3*k, -r + k + 50 = -0*k. Calculate the common denominator of 25/33 and r*((-57)/(-54) - 1).
99
Let p = -1 + 11. Let f(w) = w**3 - 4*w**2 - 2*w + 25. What is the smallest common multiple of p and f(4)?
170
Suppose -5*n + h + 392 = 0, 2*n - 2*h = h + 149. What is the lowest common multiple of n and 9?
711
Let f be (-20490957617005)/(-21180) + (-3)/(-1). Let y = -967467325 + f. Let u = y - 1/706. What is the common denominator of 35/16 and u?
48
What is the common denominator of -4/11 and 2/13 + -1*1466/1248?
528
Let l = -3/49528 - -3541387/2228760. Calculate the common denominator of l and -17/60.
180
Suppose 0 = 5*p + h + 52, p - 3*h = 5*p + 46. Let b(l) = -9*l - 18. Calculate the smallest common multiple of b(p) and 6.
72
Suppose -19*v + 14977 + 9419 =