33))*40/48.
36
Suppose -31 = -3*f + m, 0 = -5*m - 17 + 12. Calculate the smallest common multiple of 174 and f.
870
Let n(g) = g**3 - 10*g**2 + 8*g + 13. Let q be n(9). Suppose -3*z - 5*j = -925, -q*z + 349 + 886 = 5*j. Find the common denominator of 73/3 and z/180*2*2.
9
Let y(k) = -80*k**3 + 1. Let d be y(-1). Let i = 1413/20 + -331/4. What is the common denominator of i and (d/(-6))/(21/13)?
70
Suppose -5*h = -2*o - 104, 0 = -4*h - 2*o - o + 97. What is the smallest common multiple of h and 68?
748
Let h(i) = -2*i**3 + 14*i**2 + i - 5. Let v be h(7). Calculate the lowest common multiple of (1/v)/(1/24) and 20.
60
Let b(v) = 3*v**2 + 10*v - 6. Calculate the least common multiple of 91 and b(-6).
546
Let o be (-4 - (-6 + 2))*-1. Suppose -7*a + 22926 + 41152 = o. Let f = 91647/10 - a. Calculate the common denominator of f and 119/18.
90
Let o = 144419 + -427000/3. Let v = o + -2105. Let s = 41 + -206/5. Calculate the common denominator of v and s.
15
Let b = 60671/456 - 2448/19. What is the common denominator of 93/44 and b?
264
Let t be (10/(-4))/1*(-11 + -1). Let m = 32 - t. Calculate the lowest common multiple of m and 11.
22
Suppose -z - w + 23 = 0, 0 = 4*z - 4*w - 127 - 5. Calculate the lowest common multiple of 28 and z.
28
Let l(u) = -2*u**2 - 2*u + 4. Let y be l(-4). Let a = -4/155 - -791/620. Calculate the common denominator of a and (-56)/140 + ((-351)/y)/3.
20
Suppose 156 = 59*h - 316. What is the smallest common multiple of h and 10?
40
Let i = 4 - 0. Let h(y) = 4*y**2 - 2*y. Let n be -3 - -4 - (1 + 2 - 0). What is the lowest common multiple of i and h(n)?
20
Calculate the common denominator of -25/12 and 217/70 + (-6 - -4).
60
What is the common denominator of 48/20*(-1)/33*-30 and 2/9?
99
Suppose -50 = 2*j - 4*j. Calculate the common denominator of j and 59/10.
10
Let x be (-2)/3*10*-6. Suppose h + x = 6*h. Let d(n) = 271*n - 2708. Calculate the least common multiple of d(10) and h.
8
Suppose 20 - 28 = -4*l. Suppose 0 = -3*z - 18 + 48. Let u = 12 + z. What is the lowest common multiple of u and l?
22
Let p(v) = 3*v + 8. Let l be p(-4). Calculate the common denominator of 86/6*l/(0 + 4) and 73/18.
18
Let p = -29251/4 + 7292. Let s(a) = -6*a + 6. Let o(w) = -5*w + 6. Let m(l) = -3*o(l) + 2*s(l). Calculate the common denominator of m(5) and p.
4
Let t(n) be the second derivative of -n**5/20 + n**4/3 - n**3/3 - n**2/2 - n. Suppose 12*a - 30 = 2*a. What is the lowest common multiple of t(a) and 1?
2
Let g(j) = 10*j - 344. Calculate the least common multiple of 6/(-21) - (-100)/7 and g(36).
112
Let y = -5 + 6. Suppose 0 = -d - 3*d + 12, -3*d = -4*h + 15. Calculate the lowest common multiple of 14 + (y + -2 - (10 + -11)) and h.
42
Let h = -3 - -10. Calculate the least common multiple of 111 and h.
777
Suppose -3*d + 5*v + 15 = 2*d, -2*d + 3*v + 3 = 0. Suppose -d*t + 74 = -46. Calculate the lowest common multiple of 2 and t.
20
Let p = -326697 + -100399. Let v be p/560 - (0 + 2). Let b = v - -3788/5. What is the common denominator of b and -73/2?
14
Let o(f) = 3*f - 20. Let p = 43 - 33. Let a be o(p). Suppose -5*b - 5*d = -a, 5*d = b - 2 - 0. What is the smallest common multiple of 8 and b?
8
Let c(r) = r**2 + 18*r - 6. Let p be c(-15). Let o = -29 - p. What is the lowest common multiple of 2/((-6)/(-27))*2 and o?
198
Suppose 0 = -3*z - 4*b + 192, -5*z = -3*z - b - 117. Calculate the smallest common multiple of z and 21.
420
Let f(b) = 4*b + 1. Let h be f(3). Suppose h*z - 6*z = 77. Suppose -5*i = -2*l - 15, -5*l - 2*i + 15 = -4*i. What is the lowest common multiple of z and l?
55
Suppose -t = r + 96, 3*r + 108 = -5*t - 190. Let n = -76 - r. Calculate the least common multiple of n and 21.
105
Let o = -439/3726 + -79978697/14904. Let q = -5374 - o. Find the common denominator of q and -1 - -1 - (-34)/4.
8
Let d = -44917/15 - -2990. What is the common denominator of (-232)/462 + (108/14 - 8) and d?
165
Let c be -181 - -3*5/15. Calculate the lowest common multiple of ((-32)/(-6))/(3/9) and (c/48)/(6/(-16)).
80
Let h = -1156228693/39 + 29639434. Let o = h + 7457. What is the common denominator of 7/27 and o?
351
Let x = 248291/80 + -3103. What is the common denominator of -25/6 and x?
240
Suppose -3*u - 5 = 10. What is the common denominator of (73/u)/((-16)/20) and -5 + (63/(-24) - -3)?
8
Let a = -9 - -17. Suppose 4*i = a*i - 40. Suppose 2*q - 110 = -4*s, q = 2*s - 0*q - 49. What is the least common multiple of s and i?
130
Let w = 5908191/100 - 59083. Calculate the common denominator of w and 34/125.
500
Let p = -20924/13 - -1611. Find the common denominator of p and -1.
13
Let a(u) = -u**2 + 15*u - 25. Let q be a(10). Let j = -20 + q. What is the least common multiple of 5 and j?
5
Find the common denominator of 1113/270 + 32/(-80) and 73/8.
72
Suppose 0 = -4*f - 4*q + 124, -q = 4*f + 2*q - 121. Calculate the smallest common multiple of (-10)/(-4)*-3*(-12)/5 and f.
252
Suppose 4*f + f = -90. Let c = f + 26. Calculate the lowest common multiple of c and 3.
24
Let z = 21 + -20. What is the least common multiple of (2 + z/(-2))*4 and 16?
48
Let k = 458 - 1867/4. Suppose -4*r = 4*z + 12, 4*r + 2*z + 23 - 9 = 0. Calculate the common denominator of k and (-485)/100 - r - 1.
20
Calculate the least common multiple of 170 and (-1 - (-2 + -2)) + -11 + 28.
340
Let p be (-308)/(-35) + 14/(-5) + 2. Suppose -4*u - 5*r + 36 = -2*u, 0 = -u + 4*r - p. Calculate the lowest common multiple of u and 2.
8
Let i = 24 + -17. Suppose -25 = -3*x - 4. Let b = x + -5. Calculate the least common multiple of b and i.
14
Suppose 3*d - 1 = -4*y + 24, -3*d + 1 = -2*y. Calculate the least common multiple of y and 200.
200
Let v be -1 + -2 - -6 - 0. Let s be -3*((-133)/34 + v). Let a = s + 957/340. Calculate the common denominator of a and -143/12.
60
Let v = -5345 - -90837/17. Find the common denominator of v and 24/19.
323
Let l be ((-20)/(-50))/(1202/10). Let a = 10231/4207 - l. Calculate the common denominator of (65/30)/((-6)/(-9) - -2) and a.
112
Let n(w) be the first derivative of -w**4/4 + 7*w**3/3 - w**2/2 + 10*w - 3. Let s be n(7). What is the least common multiple of s*4/6*1 and 6?
6
Let t = 15 - 11. Suppose 4*q - 2*q - 27 = w, t*w = 4. Let b = -2 + 6. What is the least common multiple of b and q?
28
Let c = 2/3093 - 29213/2062. Let r = 0 + 1. Calculate the common denominator of (-22)/(-2)*r/(-12) and c.
12
Let b = 83 + -30. Suppose -4*f + 103 = 3*m, 4*f - 2*f + m = b. What is the least common multiple of f and 4?
28
Let k(z) = 2*z. Suppose 3*w - 5*w + 10 = 0. Suppose 5*d = 4*l + 189 - 77, -w*d + 91 = 3*l. Calculate the least common multiple of d and k(3).
60
Let q be (-2)/(-8) + 6482/4 + -1. Let j = 1611 - q. Calculate the common denominator of -79/8 and j.
8
Suppose 2*b - 4*p - 309 = -p, -5*p + 15 = 0. Calculate the lowest common multiple of b and 3.
159
Let y = -2973339/2003264 - 4/31301. Let l = 240679/202704 - -2/12669. Calculate the common denominator of y and l.
64
Let o = 158103/40 + -3954. Find the common denominator of o and 121/24.
120
Let h = 853 + -193. Let r be -3 + 2/((-16)/h). Let a = -311/3 - r. Find the common denominator of -59/3 and a.
6
Let z = -66545 - -10979977/165. Find the common denominator of -51/10 and z.
330
Calculate the common denominator of 97/42 and (-939)/270 + (96/10)/(-12).
126
Let f be (2/(-5))/(7/(-70)). Suppose 2*y - 5*t - 28 = 0, 4*t = f*y - t - 36. Suppose 0 = -2*o + 8 - 0. What is the least common multiple of o and y?
4
Let y = -35 + 35. Suppose 2*f - 2*t = 18, 19 = 3*f - y*f + 5*t. Calculate the lowest common multiple of f and 10.
40
Suppose -2*x - 7 = 5. Suppose 0 = -5*d + 3*k + 16, -d - 6*k - 8 = -k. What is the smallest common multiple of (0 + -6)*d/x and 12?
12
Let s(n) = -23*n**3 + 2*n + 1. Let c(a) = -a**2 + 3. Let w be c(2). Calculate the lowest common multiple of s(w) and 12.
132
Let z(x) be the second derivative of -3*x**3/2 - x**2 - 6*x. What is the smallest common multiple of z(-2) and 16?
16
Let r = 12 - 1. Suppose -8*c = -r*c + 96. Suppose h + 2 = v + 11, -v = -4*h + 39. What is the lowest common multiple of c and h?
160
Let x = -35 - -52. Suppose -r + x - 9 = 0. Calculate the least common multiple of 16 and r.
16
Suppose c - 46 = -2*o - 5, -4*c = -4*o - 116. Suppose -7 = -2*h + c. Calculate the lowe