common multiple of f and 1.
1
Let i(t) = t**2 + 8*t - 10. What is the least common multiple of i(-10) and 2?
10
Let p = 165 + -78. Find the common denominator of p/42 + (-12)/(-4) and 17/4.
28
Let x = -2617/213 - -17/142. Find the common denominator of x and 109/6.
6
Suppose 0 = 4*o + 15*o - 684. Calculate the least common multiple of o and 30.
180
Let x be 2 - 3 - 118259/(-18). Let n = -6572 + x. What is the common denominator of n and -1 + (59/(-14) - 2)?
126
Let w be (-13765)/290*(-1)/(-4). Let y = w - -36/29. What is the common denominator of y and -45/4?
8
Calculate the common denominator of (-4)/22 + (147/(-66) - 2) and -17/14.
154
Find the common denominator of (60/(-423))/((-1)/(-3)) and 29/8.
376
Let h = 12 - 10. Suppose -d = -3*n + 13, 3*d + h*n = d - 50. Calculate the common denominator of d and -57/8.
8
Let y(x) = -x**3 - 5*x**2 + 14*x + 2. Let q be y(-7). Suppose 27 = q*h + o, -2*h + 37 = -0*o - o. Calculate the lowest common multiple of h and 4.
16
Let z(f) = -f**3 - 8*f**2 - 10*f - 3. Suppose -2*r = r + 21. Calculate the lowest common multiple of 16 and z(r).
144
Suppose c = -0*c + 9. Let t = c + -2. What is the least common multiple of t and 8?
56
Suppose 7 = 2*n + 2*b + 15, -5*n + 5*b - 10 = 0. Calculate the common denominator of n/2*142/(-6) and (-5)/((-5)/2) + 3162/(-680).
20
Suppose 5*q + 52 + 58 = 0. Calculate the common denominator of -49/3 and ((-28)/6)/(q/77).
3
Let q(v) = v**3 - 3*v**2 - 8*v + 8. Calculate the lowest common multiple of q(5) and 6.
18
Suppose 3*h = 20 + 16. Calculate the smallest common multiple of 18 and h.
36
Let l = -267536 + 14976959/56. Let z = l + 612/7. Calculate the common denominator of z and -52/5.
40
Let a = 511429/120 + -4262. What is the common denominator of a and -67/20?
120
Suppose 0 = -2*z + 5*z - 9. Suppose 5*j - 29 + 10 = z*t, 3*t + 13 = 2*j. What is the smallest common multiple of 8 and j?
8
What is the common denominator of 27/8 and 3/10 - (-3 + -1)?
40
Find the common denominator of -101/136 and 1/(-16) - (4 + -4) - 1.
272
Let j = 4 + -12. Let x(v) = -v**3 - 9*v**2 - 10*v + 4. What is the smallest common multiple of 10 and x(j)?
20
Suppose 2*x - 14 - 6 = 0. Suppose p = -p + 76. Suppose -3*a - 11 = -p. Calculate the smallest common multiple of x and a.
90
Suppose 4*z + 2*a = 5*a + 81, -5*z + a = -104. What is the smallest common multiple of 15 and z?
105
Suppose -5*z - 125 = -5*r, 89 = 3*r + z + 3*z. What is the common denominator of -51/8 and (-2 - 129/r) + 0?
72
Find the common denominator of (96/(-33))/((-4)/(-2)) and (-2 + 56/6)/(-3).
99
Suppose v - 40 = -4*v. Suppose -5*w = -2*c - 96, w + 2*c = -0*c + 12. What is the lowest common multiple of v and w?
72
What is the common denominator of 2/(-7)*2 + (-743)/84 and -71/2?
12
Let s(r) be the second derivative of -r**4/12 + 5*r**3/3 + 3*r**2/2 - 2*r. Calculate the smallest common multiple of s(9) and 20.
60
Let f(z) = 4*z + 8. Let x be f(-6). Suppose 2*n - 9 = 19. What is the smallest common multiple of (9/6)/((-6)/x) and n?
28
Calculate the common denominator of -55/16 and (1/(-10))/((-32)/1240).
16
Let t = -134273/6700 - -501/25. Let i = t + -3683/2680. Calculate the common denominator of i and ((-366)/(-27))/(-2 + 4).
72
Let j(w) = w**3 + 8*w**2 - 11*w - 11. Let p be j(-9). Suppose 4*y + 10 = p*r - 5*r, 4*r + y = 11. What is the lowest common multiple of r and 1?
3
What is the common denominator of -125/36 and ((-1)/(-18)*-118)/2?
36
Let h be 156/(-10) - 6/15. Let o be ((-18)/(-4))/((-12)/h). What is the smallest common multiple of -2 + 12/(o/2) and 10?
10
Let y = -2143/11 - -195. Find the common denominator of (-2)/7 - (-11)/14 and y.
22
Suppose 2*l - h = -0*l - 7, -4*l - h = 11. Let g be -2*(-3 + 2) + l. What is the least common multiple of -10*(1/(-5) + g) and 12?
12
Suppose 6*a = a - 130. Let x = a - -29. Calculate the smallest common multiple of 3 and x.
3
Let s = 43 - 25. Calculate the least common multiple of (-1)/(-1 + 0) - -19 and ((-9)/s)/((-2)/80).
20
Suppose -3*c + 4 - 1 = -3*x, 0 = 4*c - 16. Suppose 4*n + t = 60, -10 = -n - 3*t + 4*t. What is the least common multiple of 13*(x + -2) - 1 and n?
84
Let f = 15 - 10. Suppose 5 = f*i - 4*i. Calculate the least common multiple of -9*(3/(-3) + 0) and i.
45
Let s = 2/351 + 12983/702. Calculate the common denominator of s and 49/8.
8
Let t = 1462/3 - 14449/30. Calculate the common denominator of 97/2 and t.
10
Let z(r) = -r - 5. Let u be z(-7). Suppose -5*p = -u*b + 69, b - 5*p + 6*p = 17. What is the smallest common multiple of b and 2?
22
Let f(l) = l**3 - 5*l**2 + 2*l - 1. Let z = 9 - 5. Let h be f(z). Let p = h - -13. What is the least common multiple of p and 4?
4
Let i(u) = 11*u - 1. Let k(b) = b - 6. Let y be k(7). Calculate the smallest common multiple of i(y) and 22.
110
Let c(f) = f + 7. Let t = 4 + -3. Calculate the smallest common multiple of c(-4) and t*(-1)/(-1) + 7.
24
Suppose 132 = -b - 0*b - 3*d, 3*d = 9. What is the common denominator of (-3)/(-6)*b/(-33) and 137/18?
198
Let t = 76 + -69. Suppose 16 = w + 5*m, 2*w - 14 = -2*m - 2*m. What is the least common multiple of w and t?
7
Let v = -5 + 2. Let o(m) = m**2 + m - 4. Let f be o(v). What is the common denominator of f/7*(-50)/4 and 61/10?
70
What is the least common multiple of 7 and (-2)/2*(-8 - (3 + -4))?
7
Suppose 47*w - 33 = 46*w. What is the smallest common multiple of 7 and w?
231
Find the common denominator of 5/9*10/4 and 91/8.
72
Let g(k) = k**2 - 3. Calculate the least common multiple of 4 and g(5).
44
Let r = 63 + -13. Suppose -v - 4*v = -r. Let o(c) = c - 2. Calculate the least common multiple of o(5) and v.
30
Find the common denominator of 14/12 - 2*(-1)/4 and -115/6.
6
Suppose 3*u = -0*u - 3. Let a be 2 + (u - -6) + -2. Suppose 4*d = -d - 4*q + 118, a*q + 34 = 2*d. Calculate the lowest common multiple of 4 and d.
44
Let y(w) = -w**2 - 10*w + 27. What is the smallest common multiple of 5 and y(-12)?
15
Suppose 105 = 36*j - 31*j. Calculate the least common multiple of j and 6.
42
Let s(l) = 2*l**2 - l - 3. Let c be s(-3). Find the common denominator of 29/13 and 3/c + 22/6.
78
Suppose -5 + 3 = -r. What is the smallest common multiple of 7 and r?
14
What is the common denominator of 129/(-14) - (-4)/4 and -6?
14
Let w be 33940/66*114/8. Let h = -7324 + w. Calculate the common denominator of h and (1/(-20)*61)/1.
220
Let z = 26 - 19. Suppose 0 = 3*k - 2*k - 1. Let h(o) = 9*o**2. Calculate the smallest common multiple of z and h(k).
63
What is the common denominator of ((-15)/(-10))/(135/492) and -70/33?
165
Let r = 68 - 32. Find the common denominator of ((-12)/8)/(r/(-177)) and ((-108)/10)/((-11)/(-5)).
88
Let t be (-238)/(-6) + (-2)/(-6). Calculate the smallest common multiple of (8/(-20))/((-2)/t) and 9.
72
Let x be (-4)/6*(-367394)/(-24). Let t = x + 10209. What is the common denominator of t and (-2)/(-5) - (-34)/4?
90
Let a be (-538)/14 - (-2)/2. Let d = a - -2411/56. Let t = 23457/10 + -2335. Find the common denominator of d and t.
40
Suppose -4*w + 3*w + 10 = 0. Calculate the common denominator of 22/(-72)*(1 + 1) and w/(-6)*117/52.
36
Let b = 15514 - 26764. Let l = b + 134897/12. Find the common denominator of l and 41/8.
24
Let w = -27875/22 - -1268. Let i = 17264734587 + -637275883165349/36912. Let y = i + 2/2307. Find the common denominator of y and w.
176
What is the common denominator of -49/33 and ((-141)/54 - -3)*-13?
198
Let g be 6/(-21) + 98642/42. Let u = g + -2372. Find the common denominator of (-50)/88 + (-1)/4 and u.
33
Let t = -1/389 - 29943/3890. Let j = 70 + -25. What is the common denominator of t and j?
10
Let x(q) = -q**3 + q**2 + 11. Calculate the smallest common multiple of x(0) and (-2)/(0 - 4/6).
33
Suppose -3*c - 15 + 45 = 0. Let z = 0 - 4. Let f = z - -13. What is the lowest common multiple of c and f?
90
Suppose 5*c - 70 = 5*r - 0*r, -5*c - 5*r + 70 = 0. Calculate the least common multiple of c and 52.
364
Let z(g) be the second derivative of -g**2 - 1/2*g**3 + 0 + g. Calculate the smallest common multiple of 9 and z(-3).
63
Let q = -1/1448 - -60097/7240. What is the common denominator of q and 11/(-77)*50/(-1)?
70
Suppose 8 = p + p. Suppose -p*u = -0 - 12. What is the smallest common multiple of u and 2?
6
Find the common denominator of -56/11 and 1/((-2