lculate the remainder when (99/12)/((-5)/(-20)) is divided by a.
9
Let b = 10 + -10. Suppose 4*h - 89 = 5*s, b = 3*h + 2*s - 5*s - 63. Calculate the remainder when 30 is divided by h.
14
Let m = -27 - -51. Calculate the remainder when 141/(((-3)/(-10))/(9/45)) is divided by m.
22
Let f = -16 - -20. Let c = f + 7. Suppose 0*p - 9 = -3*p - 4*y, 4*y + 6 = 2*p. Calculate the remainder when c is divided by p.
2
Let z = 2 - -2. Calculate the remainder when 26 is divided by -18*(10/z + -3).
8
Let a = 38 + -24. Calculate the remainder when 53 is divided by a.
11
Let y be (-2)/(2678/2674 - 1). What is the remainder when 40 is divided by y/(-63) + 4/(-18)?
19
Let b(n) = -21*n**3 + n**2 + n + 1. Suppose 3*t + 3 = -4*m - 1, -3*m = t + 3. Calculate the remainder when b(m) is divided by 6.
4
Let b(t) be the third derivative of -t**4/12 - 3*t**3/2 - 4*t**2. Suppose -u - 5 = 1. Calculate the remainder when 4 is divided by b(u).
1
Let n(f) = -f**3 - 4*f**2 - 3*f. Let d be n(-3). Suppose 3*l + d*l = 5*g + 229, 388 = 5*l - 2*g. What is the remainder when l is divided by 20?
18
Let m(t) = -t**2 + 8*t - 4. Let r be m(4). Suppose -2*w = 2*w + r. Let v = 8 + w. What is the remainder when 7 is divided by v?
2
Let n = -139 - -167. Calculate the remainder when 54 is divided by n.
26
Let r(a) = a**3 + 10*a**2 + 8*a - 7. Let x(h) = h**2 + 10*h + 12. Let l be x(-7). Calculate the remainder when 6 is divided by r(l).
0
Calculate the remainder when 24 is divided by (-208)/12*9/(-12).
11
Let k(t) = -t**3 - 4*t**2 + 4*t - 2. Let g be k(-5). Suppose g*f + 4*n = 310, -2*f + 0*n + 202 = -2*n. What is the remainder when f is divided by 26?
24
Suppose -4*u + 4 = 4*d, d - 3*d = 5*u + 1. Suppose -15 = -d*p - p. Suppose r + 3*w = -w - 9, -30 = -p*r + 5*w. What is the remainder when 5 is divided by r?
2
Let m(k) = k**2 - 3*k - 5. Suppose -6 = -3*s - 3*g, -s - 8 = -5*s - 5*g. Suppose -s*j + 152 = 2*j. What is the remainder when j is divided by m(6)?
12
Let j be 10 - ((2 - -1) + -2). Let v = 15 - j. Calculate the remainder when 23 is divided by v.
5
Let a = 5 + 103. What is the remainder when a is divided by 22?
20
Suppose z - 56 = -3*z. Suppose w - 3*w + 54 = 0. What is the remainder when w is divided by z?
13
Suppose 0 = n - 0 - 6. Suppose 2*m = 4*f + 50, -m + 3*f + 12 = -18. Suppose -t + n = -m. What is the remainder when t is divided by 11?
10
Suppose -3 = -3*m + 6. Suppose m*t - t = 20. Let r = 34 + -5. What is the remainder when r is divided by t?
9
Let u = -22 + 73. Suppose -4*q + 65 = q. Calculate the remainder when u is divided by q.
12
Suppose g - 6*g = -h - 25, 0 = -5*g - 3*h + 45. What is the remainder when g is divided by ((-10)/(-15))/((-1)/(-3))?
0
Suppose 4*z - 69 = 71. Let g(w) = -w**3 + 6*w**2 + 3*w - 6. Let s(i) = 7*i**3 - i**2. Let x be s(1). Calculate the remainder when z is divided by g(x).
11
Let r = -5 + 3. Let x be (r/(-2))/1*2. Suppose -x*b = -b + 5*c - 32, 2*c = 3*b - 28. What is the remainder when 46 is divided by b?
10
Suppose 2*m = -2*h, -2*m + 11 = 5*h - 4. Suppose 25 = h*q - 65. Suppose -q = -a - 5. What is the remainder when 25 is divided by a?
12
Let l(q) = -q**3 + 7*q**2 - 6*q - 7. Let b(k) = -k**3 + 7*k**2 - 4*k - 7. Let h be b(6). What is the remainder when l(h) is divided by 5?
3
Let r = 60 + -29. What is the remainder when 56 is divided by r?
25
Suppose -2*y - 2*y + 104 = 0. Let a be 82/y + 10/(-65). Suppose -4 = -a*u + 8. Calculate the remainder when u is divided by 3.
1
Let r be 30/9 - (-2)/(-6). Suppose -5*h + 3*t - 27 = 2*t, 0 = t + r. Let o(v) = v**3 + 6*v**2 - 6*v. Calculate the remainder when o(h) is divided by 13.
10
Suppose 20 - 4 = u. Calculate the remainder when u is divided by 6.
4
Suppose 32 - 12 = 3*a - 5*c, -2*c + 10 = 0. Suppose 195 = -n + 6*n. Let g = 82 - n. Calculate the remainder when g is divided by a.
13
Let t(z) = 2*z - 3. Suppose 5*j + 17 = 47. Calculate the remainder when 25 is divided by t(j).
7
Let t(m) = -m**3 + 7*m**2 + 5*m + 3. Let y be t(5). Suppose 4*s - 38 = y. What is the remainder when s is divided by 16?
13
Let d(j) = j**2 - 11*j - 1. Let c be d(8). Let t = c - -46. What is the remainder when t is divided by 8?
5
Suppose -722 = -14*m - 260. What is the remainder when m is divided by 13?
7
Suppose -45 = -3*w - 2*w. Calculate the remainder when 44 is divided by w.
8
Let b be (-1)/5 - 2/(-10). Suppose 2*y = -3 + 1, 4*x + y - 71 = b. What is the remainder when 51 is divided by x?
15
Let o(x) = -6*x + 2. Calculate the remainder when 103 is divided by o(-4).
25
Let v(n) = n**2 + n - 1. What is the remainder when 54 is divided by v(4)?
16
Suppose 0*t - 6 = -2*t. Suppose -3*r = 3 - 15. Calculate the remainder when r is divided by t.
1
Suppose 0 = a - 5*p - 52 + 4, 0 = -2*a - 5*p + 81. Calculate the remainder when 84 is divided by a.
41
Suppose -13 = -4*q + 163. Suppose -25 = -6*k + 5*k - 2*a, 3 = 3*a. Calculate the remainder when q is divided by k.
21
What is the remainder when (-2)/(-9) - 1830/(-27) is divided by 24?
20
Suppose 4*x + z - 47 = 0, -5*z = -2*x + 3*x - 7. Calculate the remainder when x is divided by 7.
5
Suppose -3*k + 2 = -10. What is the remainder when k/(-6) + (-385)/(-15) is divided by 14?
11
Suppose -4*s - 3*c - 129 = -2*c, -3*s - 4*c = 87. Let m = s + 53. Calculate the remainder when 77 is divided by m.
17
Suppose 0 = -4*d + 7*d - 39. What is the remainder when 62 is divided by d?
10
Let s = 252 + -97. Suppose 0*i + 5*i = s. Let h = 9 + 2. What is the remainder when i is divided by h?
9
Let u = 33 + -15. Suppose 4*p - 2*g + 176 = 452, -p + 69 = -4*g. What is the remainder when p is divided by u?
15
Let d = -164 + 237. Calculate the remainder when d is divided by -1 - (3*-9 - -1).
23
Let u be (42/35)/(3/10). Let x = 9 - u. Calculate the remainder when 0/2 - (-16 - -3) is divided by x.
3
Let s = -104 + 175. What is the remainder when s is divided by 18?
17
Let g(m) = m**3 - 5*m**2 + 1. Let u be g(5). Let d(o) = 3 + o - u + 10 - 1. Calculate the remainder when d(0) is divided by 6.
5
Let j = -11 + 4. Let l = 8 + j. What is the remainder when 4/5*(-5)/(-2) is divided by l?
0
Let g(x) = -x**2 + 9*x - 2. Let u be g(7). Suppose 0 = 2*k + 2*k + u. Let o = -2 - k. Calculate the remainder when 1 is divided by o.
0
Suppose 5*i - 5*n + 390 = 0, -3*n + 170 = -2*i - 8*n. Calculate the remainder when (-7)/(28/i) - 0 is divided by 7.
6
Suppose 0 = p + p. Suppose 3*n + p*n = 15. Suppose -28 = a - 3*a. What is the remainder when a is divided by n?
4
Let n = -39 + 109. Calculate the remainder when n is divided by 36.
34
Suppose 5 + 1 = u. Let m be ((-12)/10)/(2/(-5)). Calculate the remainder when 68/m - (-2)/(-3) is divided by u.
4
Let k(q) = q**3 + q**2 - 1. Let j(l) = 3*l**3 + 7*l**2 - l - 6. Let x(v) = -j(v) + 6*k(v). Calculate the remainder when 9 is divided by x(1).
0
Suppose 0 = 17*p - 18*p + 3. Suppose 5*o + d - 1 = 0, 2*o + 3*d + 18 = -2*d. Calculate the remainder when ((-4)/(-5))/(o/5) is divided by p.
1
Suppose -48 = 15*q - 19*q. Calculate the remainder when 71 is divided by q.
11
Suppose -5*z = -4*z + 15. What is the remainder when 28 is divided by (z/(-2))/(1/2)?
13
Let d(c) = -c + 0 + 1 + 4. Let t be d(5). Suppose t = y + g - 9, -g = y - 6*y + 63. Calculate the remainder when 34 is divided by y.
10
Suppose 2*y + 5*b - 24 = 3*b, -4*y - 2*b + 50 = 0. Let w = y + -9. Calculate the remainder when w is divided by (-6)/(-3)*(-12)/(-8).
1
Let t = 62 + -163. Let x = -12 - t. Suppose x + 15 = 4*v. Calculate the remainder when v is divided by 9.
8
Let r(x) = 2*x**2 - 6*x - 10. What is the remainder when 95 is divided by r(-3)?
17
Suppose -5*c - 2*x + 310 = 0, 4*c + c + 5*x - 325 = 0. What is the remainder when c is divided by 17?
9
Let a(s) = 5 + s**2 - 1 + s + 2 - 4. Calculate the remainder when a(-5) is divided by 12.
10
Let m(k) = 2*k**2 - 5*k - 10. Calculate the remainder when m(-4) is divided by 11.
9
Suppose -43 = 4*g + 2*v - 15, 4*v = 0. Let o(q) = q + 6. Calculate the remainder when o(5) is divided by g*(2 + (-40)/14).
5
Let m be (3 - 1)/((-12)/(-42)). Let s(j) = -j**2 + 8*j - 5. Let y be s(m). Suppose 0*n + 22 = y*n. What is the remainder when 32 is divided by n?
10
Let a be -2*(3 + 5 - -2). What is the remainder when 86 is divided by (-425)/a - 6/(-8)?
20
Suppose 50 = x + 4*x. What is the remainder whe