30 + 3 - -25.
66
Let q(v) = -v - 1. Let o be q(-5). Suppose -60 = -4*k - 0*i + 5*i, -i - 54 = -5*k. What is the smallest common multiple of k and ((-15)/o)/((-3)/16)?
20
Let y(f) = f**2 + 14*f + 21. Let w be y(-15). Suppose 0 = 3*p + 3*u - u - w, 2*u = 4*p - 48. What is the least common multiple of p and 14?
84
Suppose 0 = 3*b - 5*l + 37, -3*l = 4*b + 16 + 72. Let h(g) = -g**3 - 19*g**2 + 2*g + 40. Calculate the lowest common multiple of h(b) and 10.
10
Let y(a) = -3*a**3 - 5*a**2 + 15*a + 25. Calculate the lowest common multiple of y(-3) and 416.
416
Let m = -7921/3 - -52769/20. What is the common denominator of 101/10 and m?
60
What is the common denominator of 146/(-280) + 5/(40/6) and 28/3?
105
Let d be (-1)/(-6) - (-177)/18. Suppose 15 = 5*c + d. Suppose 2*o - 11 = 7. What is the lowest common multiple of c and o?
9
Suppose -4*m + 21 = 5. Suppose 14*q - 23*q = -90. What is the lowest common multiple of q and m?
20
Calculate the common denominator of (-1095)/(-300) + 2/(-5) and -53/188.
188
Let p(y) be the first derivative of y**2 - 23*y - 6. Suppose -4*k + 55 = 4*h - 3*k, -k - 49 = -4*h. What is the least common multiple of p(h) and 2?
6
Suppose 110 = 2*v - n - 4, 3*v - 162 = -3*n. Calculate the smallest common multiple of 42 and v.
168
Suppose -244 = 22*l - 18*l. Let r = l - -82. Calculate the lowest common multiple of r and 30.
210
Suppose 0 = -12*j + 167 + 313. What is the smallest common multiple of 25 and j?
200
Let d = 393860/59 - 6676. Find the common denominator of d and 73/6.
354
Let w be -7 + 10 - ((-16 - 2) + 1). Calculate the common denominator of (-79)/39 + w/(-30) and ((-1)/5)/((-6)/(-27)).
130
Let f(g) = 11*g**2 - 10 + g**3 - 1 - 5 - 2*g - 2. Suppose -5*h = -3*h - 18. What is the least common multiple of h and f(-11)?
36
Calculate the common denominator of ((-2)/(-8))/(5/(-34)) and (-12216)/(-720) - (-2)/(-15).
30
Let l = 119 + -111. Calculate the least common multiple of l and 8.
8
Find the common denominator of 11*(-58)/(-585) + (-36)/(-234) and 52/35.
315
Suppose y = 2*y - 3. Calculate the least common multiple of y and (-3 + 5)/(-1) + 17 + 3.
18
Let z(d) = -d**2 + 2*d - 24. Let j be z(8). What is the common denominator of 137/18 and 8/j*(-363)/(-2)?
18
Suppose -4*n + 247 = -5*t - 0*n, -104 = 2*t + n. Let q = -39 - t. What is the least common multiple of q and 26?
156
Calculate the common denominator of (2/(-5 + -59))/(7/133) and -41/6.
96
Suppose 2*s = 4*l + 12, -10 = -s + l - 2. Suppose -2*b + j = -4, 5*b - 2*j + 5*j - s = 0. Calculate the least common multiple of b and 2.
2
Suppose -3*n + 28 = -n - 4*b, 0 = -5*n + b + 34. Let r be ((-1)/(-3))/((-1)/(-9)). What is the common denominator of r/(-5)*(-28)/n and 37/7?
35
Let a = 601/459 + -21/17. Find the common denominator of 12/(-30) + (-284)/(-135) and a.
27
Let m be 14/10 + -1 - 69/(-15). Suppose -7*w = -m*w + 82. Calculate the common denominator of w and -125/6.
6
Suppose 120*h = 125*h + 5. Find the common denominator of 55/8 and (2/88*1)/(h/(-13)).
88
Suppose 14*h - 30 = 9*h. What is the lowest common multiple of h and 8?
24
Find the common denominator of ((-2)/36)/(2/((-4736)/272)) and 67/36.
612
Let m = -1335 - -1439. What is the least common multiple of 13 and m?
104
Let a(z) = -6*z - 3. Let p be a(4). Let m = -39 - p. What is the common denominator of (10/(-27))/(m/234) and 36/7?
63
Suppose -r + 2*r = 7. Let i = 15 + -12. Suppose -2*g + 10 = i*g. What is the smallest common multiple of g and r?
14
Let p(a) = a**2 + a - 1. Let x(l) = -4*l**2 + 11*l + 17. Let k(v) = -6*p(v) - x(v). Let s = 5 - 12. What is the least common multiple of k(s) and 6?
30
Suppose -4 = -4*b + 20. Find the common denominator of (-28)/10*b/24 and ((-2)/48)/((-726)/(-364) - 2).
60
Let b(y) = -y**3 - y**2 + 4. Let o be (-5 + -1)/(-6 - -4). Suppose 6*n = o*n - 9. What is the smallest common multiple of 16 and b(n)?
176
Let x(l) = -2*l**3 - 21*l**2 - 10*l + 12. Calculate the smallest common multiple of x(-10) and 32.
96
Suppose 2*l = -4*x - 24750, 3*x = 8*x + 2*l + 30937. Let v = x + 86561/14. Calculate the common denominator of v and (-1)/6*(-237)/5.
70
Let m(r) = -r**3 - 5*r**2 + 3. Let s be m(-5). Suppose 5*v - s*v - 18 = 0. Calculate the least common multiple of v and 24.
72
Let q = 9954 - 99421/10. Find the common denominator of -89/4 and q.
20
Let w be 3/(-2)*16/(-6). Let x be 1*(w - 22/1). Let l = x - -23. Calculate the lowest common multiple of 4 and l.
20
Let q = 17257 + -2640302/153. Calculate the common denominator of 4/11 and q.
1683
Let q(j) = 4295*j. Let d be q(1). Let g = 17263/4 - d. What is the common denominator of (1 - -1) + 77/(-10) and g?
20
Let t = -72 - -12. Let j = t - -27. Find the common denominator of 3 - ((-54)/j - 1) and 49/4.
44
Let s be (-7364)/11050 + (-14)/(-21). Let p = s + 723703/298350. What is the common denominator of p and (-20)/(-12)*(-66)/28?
378
Suppose p + 3 = -0. Let k = 7 + p. Let s = 982 - 981. What is the lowest common multiple of s and k?
4
Suppose 10 = -2*f, 12*f - 88 = -3*z + 8*f. Calculate the smallest common multiple of 180 and z.
180
Let d = -4/945 - -2339/1890. Let m = 24042 + -528829/22. What is the common denominator of d and m?
330
Suppose 0 = -0*b - b. Calculate the least common multiple of (b - -2)*(-4 - (-13 + -3)) and 44.
264
Calculate the common denominator of (870/50 - 17) + 1/(-240) and -103/36.
144
Let b = -20737 - -456319/22. Let f = -555 + 5531/10. Find the common denominator of b and f.
110
Let g(j) = -2592*j + 1291*j + 1299*j + 16. Suppose 0 = 4*r + 2 + 6, -4*n = -4*r - 32. Calculate the lowest common multiple of g(n) and 30.
60
Suppose -5*t + t = 4*u - 348, 3*u + 95 = t. Calculate the lowest common multiple of t and 4.
356
Let s = -1616141/96 + 16835. Let u = -1501/96 - s. What is the common denominator of u and -65/42?
42
Let v be (-1)/(4/6*8/48). Let c = 14 + -6. What is the smallest common multiple of (-3)/v + 68/12 and c?
24
Let d = -48989/10 + 4904. Let z = -55 - -31. What is the common denominator of d and z/192 + (-790)/(-176)?
110
What is the smallest common multiple of 4 and (-220)/(-26) - (-102)/(-221)?
8
Calculate the smallest common multiple of 6 and 5792/88 - 4/(-22).
66
Let k be (-4 - 5)/((-12)/8). Suppose -q + k + 2 = 0. Calculate the lowest common multiple of 2 and (-3)/9 - q/(-6).
2
Let y be (-699)/(-3620) + 2/(-10). Let h = y + 26441/2172. Let i = -1/2430 + 7493/1215. What is the common denominator of h and i?
6
Let m = -10 + 14. Suppose m*i - 6 = 5*i - 4*p, -4*i + 36 = -4*p. What is the smallest common multiple of i and 2?
14
Suppose -53*a + 164 = -12*a. Let u be (-2*6/(-3))/(-1). Let s = u - -5. Calculate the lowest common multiple of a and s.
4
Let c = 1/6184 + 117379/723528. Calculate the common denominator of 26/9 and c.
117
Let r = -74253 + 12177585/164. Calculate the common denominator of 69/2 and r.
164
Suppose -35 = -5*i + 55. What is the least common multiple of 36 and i?
36
Suppose f = 2*i - 6 - 4, 5*f - 10 = -2*i. Suppose 9 = -3*r, 2*h - 5*r + f = 191. What is the smallest common multiple of h and 22?
88
Let q be (-1330)/12 - 2/(-4). Let d = q - -106. Let y = d - 49/24. Calculate the common denominator of y and -23/18.
72
Let j(y) = -y**2 + 7*y + 90. What is the lowest common multiple of 8 and j(9)?
72
Let c = -45 + 57. Let l = -10 + c. Calculate the lowest common multiple of l and ((-6)/(-8))/(2/24).
18
Let q(r) = r**3 + 12*r**2 + r - 43. Let h be q(-13). Find the common denominator of -107/6 and (-10)/h*((-650)/(-8))/5.
18
Let b be 6/(-4)*16/8. Find the common denominator of (189/192)/((3/(-4))/b) and -45/28.
112
Let u be -2 + 422/24*-541. Let k = u - -9520. Find the common denominator of 101/6 and k.
12
Let k = -82 - -127. What is the smallest common multiple of k and 132?
1980
What is the common denominator of -47/32 and (956/(-320) + 3)*(-2130)/36?
96
Let f = -46 - -53. Suppose -5*u - 2*h = -40, 0*u + 3*u = -h + 24. Calculate the least common multiple of u and f.
56
Let x(p) = 6*p**2 - 31*p - 36. Let h(s) = 7*s**2 - 32*s - 37. Let v(z) = 5*h(z) - 6*x(z). Calculate the least common multiple of v(27) and 20.
20
Let y(c) = 2*c - 1. Let z be y(4). Suppose -4*t + 41 = -z. Calculate the lowest common multiple of t and 0 + 38/10 - 7/(-35).
12
Let o be ((-1)/(-2))/((-77)/(-490017)). Let t = -317