202 = -2*v. Calculate the smallest common multiple of v and 121.
1089
Suppose 3*p = 46 - 10. Suppose 3*v = -4*w - 7, 4*w + 12 = v - 7. Suppose v*z = -2*u + 44, 0 = -2*u - 6 - 4. Calculate the least common multiple of p and z.
36
Let y(q) = -q**2 + q. Let g(n) = -2*n**3 - 2*n**2 + 7*n - 7. Let k(z) = -g(z) + 3*y(z). Calculate the smallest common multiple of 7 and k(2).
77
Let f be 16736/8376 - (0 + 2). Let m = 17777/11517 - f. Calculate the common denominator of m and (-1 - 13/(-3))/2.
33
Let v = 26/111 + -1103/444. Let w(h) = 208*h**2 + 3*h + 5. Let x be w(-4). Let c = 93019/28 - x. Calculate the common denominator of v and c.
28
Let c = 188 + -345. Let y be (-2 + (-534)/4)/1. Let b = y - c. Find the common denominator of b and 38/9.
18
Suppose -5*a = 2*h + 1410, -1161 = 4*a - 4*h - h. Let t = 35831/24 - 4450/3. Find the common denominator of (6 - (-343)/(-56))/((-2)/a) and t.
8
Let u(z) = z**2 + 28*z + 89. Calculate the lowest common multiple of u(-25) and 14.
14
Let h = 6312 - 725873/115. Let m = 1439/920 + h. What is the common denominator of 358/(-36) + 1 - -1 and m?
72
Suppose -4*o - 4*q - 6160 = 0, 0*q - 6187 = 4*o - 5*q. Let p = o - -9209/6. Let w = 21710 + -390883/18. What is the common denominator of w and p?
18
Let p be 2 - 1 - (-140783)/(-18). Let y = 7824 + p. What is the common denominator of -79/4 and y?
36
Let x = 9 - 7. Let t(v) = 8*v - 3. Let l(n) = -3*n**2 + 22*n + 3. Calculate the lowest common multiple of t(x) and l(7).
130
Let h be 3 + ((-42)/(-60) - 2). Let t = h + -7/4. Calculate the common denominator of -5/32 and t.
160
Let r = 54074/7 - 7727. What is the common denominator of 98*(0 + 1/(-34)) and r?
119
Let n = -87013/756 + 1619/14. Calculate the common denominator of -62/9 and n.
108
Suppose 63*b - 606 = 66*b. Let x = -116 - b. What is the least common multiple of x and 14?
602
Let g be (-272)/4*(1 - (-27)/(-12)). Let l = -63 + g. Calculate the least common multiple of l and 16.
176
Let f be -1 + -38 + 1*-3. Let x be f/(12/(-4)) + -4. Suppose -j + x*z - 5*z - 9 = 0, 0 = 3*z - 12. What is the smallest common multiple of j and 8?
88
Let x = 1087/52 - 470/13. What is the common denominator of x and 74/747?
2988
Let k(m) = -m**3 - 7*m**2 + 2*m + 20. Let j be k(-7). Find the common denominator of 65/12 and (2/(-60))/(j - 2192/365).
12
Suppose 0 = -3*h + 2*d - 3*d + 13, d = -5*h + 19. Calculate the least common multiple of h and 6.
6
Let p = 15 + -22. Calculate the smallest common multiple of 16/6*(p + 7 - -6) and 22.
176
Let s = -7883/4 - -1958. Find the common denominator of s and (-48)/(-216) - -34*62/720.
20
Calculate the least common multiple of 16 and 25535/30 + (-30)/(-36).
3408
Suppose -5*k + 65 = -4*r, 0*r = -2*r + 3*k - 35. Let m = 137 + -142. Let o = m - r. What is the least common multiple of o and 6?
30
Calculate the common denominator of 80/63 and (-1)/12*(345/36 - 7).
1008
Let x be (-21 + 11)/(2 + 23/(-11)). Suppose -x = -10*o + 10. What is the lowest common multiple of 6 and o?
12
Let s = 1/1883 + -77218/28245. Let b = 759/170 + -98/17. What is the common denominator of s and b?
30
Find the common denominator of 2/3 and (-4)/32*95 + 0.
24
Suppose 2*a - 5*l - 3 - 21 = 0, -3*a - 2*l + 55 = 0. Let t = 27 - a. What is the smallest common multiple of 53 and t?
530
Let j(a) = 28*a**3 + 21*a**2 - 15*a. Let u be j(15). Let i be 539227/u - (-10)/55. Let b = 4/1125 - i. Calculate the common denominator of b and 7/10.
40
Calculate the common denominator of (-246)/800 - (-14 - (-1656)/120) and 4/45.
3600
Let q be (2/(-6))/((-7)/63). Suppose -3*g - 4*v = -28 - 10, 0 = -4*v + 20. What is the lowest common multiple of g and (1/q)/((-9)/(-81))?
6
Let a = 2646 + -7897/3. What is the common denominator of a and 32/1317?
1317
Suppose 28 = -524*d + 526*d. What is the least common multiple of d and 150?
1050
Let i = 739/14 - 158/3. What is the common denominator of i and -25/123?
1722
Let q = -6090 + 6126. Let z(m) = 3*m - 6. Calculate the smallest common multiple of z(6) and q.
36
Let b be (-518)/(-10) - (-18)/90. Let a = b - 44. Suppose 3*l - 5*l - 2*d = -22, -43 = -4*l - 5*d. Calculate the smallest common multiple of l and a.
24
Let d = -6151/30 + 628/3. Calculate the common denominator of d and -47/8.
40
Suppose -4*q - 5*w - 216 - 2034 = 0, -q = w + 562. What is the common denominator of 6/(-9) - q/165 and (6/(-10))/((-12)/285)?
44
Let i = -207225/98 - -296/49. Let n = i - -2066. Find the common denominator of 3/4 and n.
4
Let j(n) = -4*n + 25. Let z be j(5). Find the common denominator of 276/88 + z + -5 and 131/18.
198
Let h = -522 - -552. What is the smallest common multiple of 8 and h?
120
Let l = 10 + 18. Calculate the smallest common multiple of l and 44.
308
Suppose -4*q - 136 - 211 = 5*p, -3*p = q + 85. Let f = 96 + q. Calculate the smallest common multiple of f and 4.
8
Suppose -h - 19 - 2 = -5*r, 5*r = -2*h + 18. Calculate the common denominator of 4862/792 - r/18 and (-2)/(-8) + 435/(-84).
84
Let x = 15 + -20. What is the least common multiple of -2 + (x - -10)*42/5 and 18?
360
Let y(k) = 21*k - 8. Let p be y(5). Suppose -4*j + d = -2*d - 87, 4*j - 5*d = p. What is the least common multiple of j and 4?
36
Let r(n) = -5*n**2 - n. Let t be r(-1). Let b = -36 - -52. What is the smallest common multiple of -4 - t - 1*-4 and b?
16
Suppose 0 = p - 0*p - 9. Suppose 30 = y + p*y. Calculate the lowest common multiple of 2 and y.
6
Let q(t) = -t**2 + 11*t - 15. Suppose 5*k + b = 53, 5*k - 5*b - 58 - 7 = 0. Calculate the least common multiple of k and q(8).
99
Let x = -121 + 121. Find the common denominator of x + 35/(-11) - -3 and -2 - (-2)/((-20)/41).
110
Let a = 5969/30 - 1049/5. Calculate the common denominator of a and 203/(-56)*2*4/5.
30
Let i = 48207 + -3037115/63. Calculate the common denominator of i and 27/4.
252
Suppose j + 4*t = 7 + 5, -2*j + 20 = 4*t. Suppose 0*o + 3 = -o, 2*h + j = -4*o. Calculate the common denominator of h and 3 - (3 - (-5)/(-3)).
3
Let y(x) = -x**2 + 2*x + 28. Let t be y(-4). Find the common denominator of -26/9 and (-9)/27*2*31/t.
18
Suppose 3*q = -2*t + 13, t + 0*q = -4*q + 14. Let w be ((-15 - 0)/(-3))/((-2)/14). Let l = w + 37. Calculate the lowest common multiple of l and t.
2
Let y(i) be the first derivative of -i**2/2 + 17*i - 5. What is the smallest common multiple of y(9) and 22?
88
Let v = -37 - -64. What is the least common multiple of 33 and v?
297
Let y = 3634/7 - 104518/203. Let n = 181/290 + y. Let i = 491 + -953/2. Calculate the common denominator of n and i.
10
Find the common denominator of -127/462 and ((-3)/(45/(-10)))/(180/(-1107)).
2310
Suppose -5*s + 210 = -2*s. What is the common denominator of s/4 + 12/(-3) and -16/63?
126
Let u = 420 - 285. Suppose -u + 51 = -3*p. Calculate the smallest common multiple of p and 20.
140
Let d be (12 - 6)/((-4)/6610). Let c = d + 178397/18. Find the common denominator of c and -17/20.
180
Calculate the smallest common multiple of 54 and 3*10*144/120.
108
Let j = -147 + 213. Suppose -4*a + 144 = 5*a. Calculate the smallest common multiple of j and a.
528
What is the smallest common multiple of 48 and ((-15)/(-6))/(5/84)?
336
Let t(i) = 14*i**2 + i - 1. Let q be 4 - -3*4/(-3). Suppose -4*n + 4*m = -q*n - 192, 3*n = -5*m + 176. What is the lowest common multiple of n and t(1)?
364
Suppose -5*u + 4*o = 57, o + 41 = -u - 2*u. Let c(m) = -m**3 + 15*m**2 + m + 5. Let q be c(15). Let y = q + u. What is the smallest common multiple of 10 and y?
70
Let u = 13 + -14. Suppose -3*r + 5*p - 9 = 0, -3*p + 17 = 4*r - 0*p. Let f = u + r. What is the lowest common multiple of 9 and f?
9
Let j = 3899 - 2335. Calculate the least common multiple of 2 and j.
1564
Let y = -268/49 - -15224/2891. Find the common denominator of y and -4/11.
649
Let d be (-4544)/(-6) + 2/3. Let u = -479 + d. Find the common denominator of -21/4 and -2*u/48 - 0.
8
Let k be ((-122)/(-24))/1*(158 - -6). Let j = -857 + k. Calculate the common denominator of j and -109/6.
6
Let y(a) = 30*a**2 + 5*a + 4. Let i be y(-1). Let m = i - 27. Calculate the smallest common multiple of m and 11.
22
Suppose -l + 1 = 0, -4*i + 9 = 2*l - 5. Suppose 0 = 2*q - 10, 2*q + 47 = i*h + 3*q. Calculate the least common multiple of h and 50.
350
Suppose 5*d = -2*x + 13 + 8, 6 = -x + 3*d. What is the