ivided by p.
11
Let u = -47 - -80. Calculate the remainder when u is divided by 18.
15
Suppose -j + 62 = -i, 2*i + i = -5*j + 302. Suppose 4*m + 2*y + 3*y = 71, 3*m - 4*y = j. Calculate the remainder when 37 is divided by m.
18
Let s(i) = -20*i - 3. Let j be s(-3). Suppose -3*z - j = -0*z. Let u = z + 36. Calculate the remainder when 33 is divided by u.
16
Let j = 223 + -136. Suppose -5*z - 5*i = 27 - j, 5*z = 4*i + 60. What is the remainder when 23 is divided by z?
11
Suppose -3*u + 0*t + 87 = -3*t, 3*u + 5*t = 87. Calculate the remainder when u is divided by 4.
1
Suppose 3*j - 12 = q, 3*q - 7*q = j + 9. Let z be -11 - (q + 2 + 2). Let r = z - -28. What is the remainder when r is divided by 6?
4
Let p(s) = -s. Let x(v) = -3*v - 2. Let l(w) = 2*p(w) - x(w). What is the remainder when 19 is divided by l(9)?
8
Suppose 7*x - 279 = 50. What is the remainder when x is divided by 8?
7
Let r(t) = 21*t**2 - 2*t + 11. Let i(o) = -10*o**2 + o - 6. Let k(u) = 11*i(u) + 6*r(u). Calculate the remainder when 31 is divided by k(-1).
14
Let r = -8 - -6. Let d = 0 - r. Suppose 0 = -2*b + 6*b - 4*s - 8, -d*b + 19 = 3*s. Calculate the remainder when 13 is divided by b.
3
Let h(f) = -2*f - 2. Let k be h(-3). Suppose -k*m - t + 57 = 0, 2*m = -t + 6*t + 1. Calculate the remainder when 38 is divided by m.
12
Suppose 3*i - 55 = -5*f + 106, 0 = 3*f + 3*i - 99. Suppose -82 + f = -3*c. Suppose 196 = -l + 5*l. Calculate the remainder when l is divided by c.
15
Let d = -78 + 87. Let z = 1 - -25. Calculate the remainder when z is divided by d.
8
Suppose -5*x = 11 - 46. Suppose -x*v = -4*v - 90. What is the remainder when v is divided by 8/1*(2 + -1)?
6
Let x be 8/6*(-66)/4. Calculate the remainder when x/(6/3 - 3) is divided by 6.
4
Let y = 38 - 11. Let m = 54 - y. Calculate the remainder when m is divided by 14.
13
Let d(p) = 7*p**2 + 2*p + 1. Let x be d(-1). Suppose 2*u = x*u - 16. Suppose u*c = 2*c + 24. What is the remainder when 23 is divided by c?
11
Let t be -1*-1*25*1. Suppose 36 = -2*w - 0*w. Let n = w + t. What is the remainder when 19 is divided by n?
5
Let o(g) = -3*g - 9. Let u be o(-8). Suppose -2*s - 3*s = -u, -4*k + 3*s + 23 = 0. What is the remainder when 34 is divided by k + 1*(0 + 1)?
7
Let s(n) = 19*n - 1. Let k be s(-1). Calculate the remainder when 9 is divided by (-26)/(-8) + (-15)/k.
1
Calculate the remainder when 89 is divided by (-69)/(-6) + (-18)/(-12).
11
Suppose -4*d + 0*d + 180 = 0. Calculate the remainder when d is divided by 16.
13
Let g = -52 - -87. What is the remainder when g is divided by 10?
5
Let l = -10 - -24. Suppose 9 = 5*t + 4*c - 7, 0 = 4*t + 2*c - l. What is the remainder when 6 is divided by t?
2
Suppose 4*w - 163 = 3*v + 33, 4*w - 200 = 4*v. What is the remainder when w is divided by 12?
10
Let h be 2/(-4) - 1/2. Let t be (-2 - h) + (-768)/(-4). Suppose -4*z + t = v, -194 = z - 5*z - 2*v. Calculate the remainder when z is divided by 12.
11
Let j(v) = -v**3 + 2*v**2 + 3*v - 3. Let p be j(2). Suppose -c - 25 = -4*h + p*h, 0 = 5*c. What is the remainder when h is divided by 13?
12
Calculate the remainder when (-26)/117 - 600/(-27) is divided by 12.
10
Suppose -u + 5*u - 4 = 0, 3*p + 2*u = 806. Calculate the remainder when p is divided by 27.
25
Suppose -8*t + 803 - 243 = 0. What is the remainder when t is divided by 19?
13
Let l = 35 + -24. Let x be (-264)/(-15) + (-4)/(-10). Suppose -2*v + 58 - x = 0. Calculate the remainder when v is divided by l.
9
Let k be 10*(2 + (-8)/5). Suppose -5*w + 81 = h, 5*h = k*w + 10 - 98. Calculate the remainder when 32 is divided by w.
15
Let t(x) = -x**3 - 4*x**2 - 8*x - 5. Let z = 3 + -2. Let g(v) = v**2 - 1. Let o(j) = z*t(j) - 3*g(j). What is the remainder when 19 is divided by o(-6)?
9
Suppose 14*r - 16*r = -226. Calculate the remainder when r is divided by 29.
26
Let l = 27 - 26. Let c(b) = -b - 2. Let j be c(-3). Suppose 4*k - j = 3. What is the remainder when k is divided by l?
0
Calculate the remainder when 46/((-4)/4 + 3) is divided by 16.
7
Suppose 2*d - 6*z - 7 = -7*z, -4*z = 4. What is the remainder when d is divided by -2*3/(-4)*2?
1
Suppose 0*b - 10*b + 180 = 0. Calculate the remainder when b is divided by 5.
3
Suppose -t + 52 = -2*f, -5*t + 272 = -3*f + 5*f. Suppose 0 = -2*h + 4*q + 16, -4*h + 2*q + 0*q = -50. What is the remainder when t is divided by h?
12
Let d(l) = l + 6. Let o be d(-4). Let h = 7 - 3. Suppose 0 = c - 5*x - 18, 0 = -o*x + x + h. Calculate the remainder when c is divided by 13.
12
Let w = 4 + 9. Let n = w - 3. What is the remainder when 28 is divided by n?
8
Suppose -3*s + 72 = -4*k + k, -2*s + 51 = -5*k. What is the remainder when s is divided by 8?
7
Let f = -72 + -19. Let n = -31 - f. What is the remainder when n is divided by 21?
18
Let b = 13 + -12. Suppose 0 = 3*t - 28 + b. What is the remainder when 26 is divided by t?
8
Let r = -1 - -3. Suppose 0 = 4*b - 2*b - v - 12, -r*b + 8 = -3*v. Calculate the remainder when b is divided by 4.
3
Let a(y) = y**3 + 6*y**2 + 3*y + 1. Let t = 3 + -8. What is the remainder when a(t) is divided by 6?
5
Suppose -m - 4*s = -14, 0 = m - s - 0*s - 9. What is the remainder when 17 is divided by m?
7
Suppose 3*t = -j + 5, -4*j + 105 = j - 5*t. Let y(h) = -h**3 - 2*h**2 + 2*h - 2. Let a be y(2). Calculate the remainder when j is divided by 7/1*(-12)/a.
5
Let p = 128 + -87. Calculate the remainder when p is divided by (-7)/(1/2 - 1).
13
Suppose -2*w - 3*w = 3*v + 5, 4*v + 3 = -3*w. Let o = -2 - v. What is the remainder when o/(-4)*4 - -10 is divided by 7?
5
Suppose -2*u - 228 = 3*w, 3*w + u = -155 - 73. Let n = -30 - w. Calculate the remainder when n is divided by 24.
22
Suppose z + 11 = -y, 4*y = -0*z - z - 29. Let p = y - -20. What is the remainder when 26 is divided by p?
12
Suppose -5*i = -10*m + 5*m + 35, 0 = 3*m + 3*i + 9. Suppose 143 = m*u - 63. What is the remainder when u is divided by 35?
33
Let c = -9 + 13. What is the remainder when 15 is divided by c?
3
Let k(c) = -26*c - 1. Let y = -13 - -26. What is the remainder when k(-2) is divided by y?
12
Suppose 6*k - 3*k + 3 = 0. Let h(u) = -29*u. Let b(p) = 260*p. Let m(w) = -3*b(w) - 26*h(w). What is the remainder when m(k) is divided by 9?
8
Let b = -13 - -29. Suppose -2*t - 5*m + b = 0, -4*t + 19 = t + 2*m. What is the remainder when 8 is divided by t?
2
Let o(m) = m**2 - 4*m + 2. Let w be o(5). Let v(z) = z**3 - 8*z**2 + 9*z - 2. Calculate the remainder when 2/(-4) + (-213)/(-6) is divided by v(w).
11
Let w = 1 + -20. Let r = w + 56. Calculate the remainder when r is divided by 13.
11
Suppose 0 = -2*g + i + 43, -4*g + 5*i = -0*i - 77. Let z = 4 + 5. What is the remainder when g is divided by (-102)/(-9) - (-6)/z?
11
Let k = -67 + 138. What is the remainder when k is divided by 18?
17
Let u(g) = g**2 + 4*g. Let w be u(-4). Suppose 0 = 3*l - 7*l + 112. Suppose w = m + m - l. Calculate the remainder when 41 is divided by m.
13
Suppose -2*f = -4*f. Suppose -4*c - 48 - 12 = f. Let w = c + 21. What is the remainder when 11 is divided by w?
5
Let x(d) = d - 5. Let l = 5 + 3. Let p be x(l). What is the remainder when (-4)/(-4 - (p - 6)) is divided by 2?
0
Let p be (2/5)/(1/5). Suppose -5*w - 2 = -p*g - 5, 0 = 2*w - 6. What is the remainder when 9 is divided by g?
3
Suppose -g + 6*g - 5*s - 15 = 0, -2*g + 12 = -4*s. Suppose g = -3*r + 3. Calculate the remainder when 1 is divided by r.
0
Let g be (1/3)/(2/30). Suppose 0 = -g*l + c + 10 + 124, 2*c - 137 = -5*l. Suppose 87 = 5*p + l. What is the remainder when 35 is divided by p?
11
Suppose z - 3*j = 6*z - 173, -z + 57 = -5*j. What is the remainder when z is divided by 24?
13
Let x(n) = -n**3 - 2*n**2 - 1. Let b be x(-2). Let p = 4 - b. What is the remainder when p is divided by 8/18 - 168/(-108)?
1
Suppose -6*j + 87 = -63. Calculate the remainder when 72 is divided by j.
22
Let b(n) = -n**3 - 4*n**2 - 8*n - 4. Let p be b(-7). Let u = p - -158. Suppose 121 - u = -4*s. What is the remainder when s is divided by 20?
19
Suppose 2*d + 0*d = -44. What is the remainder when (1/(-2))/1*d is divided by 3?
2
Suppose -2*c + 158 = -3*k, -4*c + 2*k + 312 = -3*k. Calculate the remainder when c is divided by 15.
13
Let v = -23 + 40. Let f = 7 + -4. Suppose -f*h = h - b - 40, 0 = -4*h + 2*b + 44. Calculate the remainder when v is divided by h