 s = -0*n + 5*n. Calculate the remainder when 69 is divided by n.
21
Suppose 2*k + 9 = 4*z + 3, k = -3*z - 8. Let n(b) = b + 17. Calculate the remainder when -1 + (-236)/(-7) - 12/(-42) is divided by n(k).
9
Suppose 0 = 2*g - y - 6 - 4, -4*g - y = -14. What is the remainder when g is divided by 3?
1
Let z(g) = -10*g - 23. Let p be (-2)/(4/22) - (-32 + 29). Calculate the remainder when z(p) is divided by 10.
7
Suppose w - 19 + 0 = 0. Let f(k) = 21*k**2 + 861*k + 37. Calculate the remainder when f(-41) is divided by w.
18
Suppose 7*h = 4*h - 42. Let k be 688/7 - (-4)/h. Suppose 4*z - k = 2*z. Calculate the remainder when z is divided by 13.
10
Suppose 5*p - 95 = -5*m, 4*m = -0*p + 3*p - 43. Calculate the remainder when 42 is divided by p.
8
Suppose 0 = -799*a + 797*a + 80. Calculate the remainder when a is divided by 10.
0
Suppose 3*x = 3*c + 24, -2 = 181*x - 179*x + 4*c. Suppose 89 = -g + 5*g - 5*w, -4*w + 64 = 2*g. What is the remainder when g is divided by x?
1
Suppose 9*n - 18 - 180 = 0. Suppose 40 = -18*b + n*b. Calculate the remainder when 39 is divided by b.
9
Suppose 5*r + 1 = -9, -4*p + 98 = -r. Suppose -18 = -2*m + p. Suppose 2*y - 132 = -2*w, -3*y = 4*w + 38 - 240. What is the remainder when y is divided by m?
20
Suppose 2*h - 18 = -0. Let i be 0 - (h/3 - 3). Suppose i = o - 33 + 6. What is the remainder when o is divided by 15?
12
Suppose 20 = -5*c, -5*i - 3*c = 2 + 5. Suppose 4*b + i - 85 = 0. Suppose 0 = l - 14 + 2. What is the remainder when b is divided by l?
9
Let k(c) be the second derivative of 1/12*c**4 - 10*c + 5*c**2 - 7/6*c**3 + 0. Calculate the remainder when 17 is divided by k(7).
7
Suppose 4*q + 126 = 334. Let n(j) = -2*j + 110. Calculate the remainder when q is divided by n(45).
12
Let d(f) = -f**3 + 12*f**2 - 9*f - 8. Suppose q = -2*q. Suppose 3*g + 7*x - 3*x = 53, 4*x - 20 = q. What is the remainder when d(g) is divided by 5?
4
Let d(k) = -10*k - 9. Suppose 4*s - 2*w - 362 = 0, 0 = -3*s - 5*w + 6*w + 272. What is the remainder when s is divided by d(-4)?
29
Let p(a) = -a**3 - 3*a**2 + 7*a + 2. Calculate the remainder when p(-5) is divided by (9 - 72/12) + (-16)/(-2).
6
Let w be -20*(6/(-4) + 2). Let i = -6 - w. What is the remainder when 70 is divided by i/(-6) + (-168)/(-9)?
16
Suppose 0 = 23*s - 1194 - 807. What is the remainder when s is divided by 41?
5
Let l(c) = -3*c**2 - 61*c - 13. What is the remainder when 102 is divided by l(-20)?
4
Let t(i) = i**3 + 11*i**2 + 21*i + 16. What is the remainder when t(-7) is divided by 21?
2
Let h = 56 - 61. Let k(l) = l**2 + 2*l - 9. Let s(j) = -j**2 - 4*j + 1. What is the remainder when k(h) is divided by s(-3)?
2
Suppose 4*n - 35 = 5. Let r(s) = -s**3 + 8*s**2 - 7*s + 3. Let b be r(7). Suppose 4 = -p, -b*y - 52 = -7*y - 5*p. What is the remainder when y is divided by n?
8
Let k(a) = a**2 + 16*a + 20. Suppose 0 = z - 4*z + 66. What is the remainder when k(-18) is divided by z?
12
Let w(l) = 5*l**2 - 6*l + 5. What is the remainder when 62 is divided by w(3)?
30
Let b = 146 + -129. What is the remainder when b is divided by 4?
1
Let w(k) = -k**2 + 15*k + 9. Suppose -3*t = -8*t + 75. Calculate the remainder when 2/2 - (-13 + -1) is divided by w(t).
6
Let q(y) = -y**2 - 6*y + 30. Let d be q(3). What is the remainder when 65 - (-5 + 1)*d/4 is divided by 8?
4
Let k = -234 + 284. Calculate the remainder when k is divided by 19.
12
Suppose -6*q + 10*q + 12 = h, 35 = 4*h - 3*q. What is the remainder when 78 is divided by h?
6
Let k = 30 + -8. What is the remainder when (136/85)/(1/40) is divided by k?
20
What is the remainder when 900/(-105)*(-2 + 3 - 22) is divided by 26?
24
Let n = -1913 + 1973. Calculate the remainder when n is divided by 18.
6
Let l(y) = y**3 + 8*y**2 - 10*y + 6. Let j be l(-9). Let g = j - 2. Calculate the remainder when 24 is divided by g.
11
Suppose v - 5*q - 81 - 136 = 0, -5*q - 25 = 0. Suppose 4 = -2*p + v. Calculate the remainder when p is divided by 19.
18
Suppose -7*w + 4112 - 213 = 0. What is the remainder when w is divided by 31?
30
Let y = 6 - 6. Suppose y = 4*k + 4*l + 36, 5*l + 0*l = -k - 17. Let r(d) = -d**2 - 7*d + 9. Calculate the remainder when r(k) is divided by 3.
0
Let x = 47 - 27. Let m be 46/8 - (-5)/x. Suppose 7 = g + 4*f, g = 3*f - m*f + 7. Calculate the remainder when g is divided by 4.
3
Let a(f) = -2*f + 29. Let x be a(13). Suppose 2*u - 16 = h, -2*u + x*h = -3*u + 8. What is the remainder when 13 is divided by u?
5
Let y(v) = -v**2 + 62*v - 798. Calculate the remainder when 207 is divided by y(41).
18
Suppose 0 + 9 = 3*i. Suppose 4*f - 240 = 4*l, -5*f + 0*f = -20. Let j = l + 62. What is the remainder when j is divided by i?
0
Calculate the remainder when 62 is divided by 0 + ((-26)/(-3) - (-90)/(-54)).
6
Let p(z) = -68*z + 137. Calculate the remainder when 5 is divided by p(2).
0
Let k = -57 - -162. Suppose 2*x - 68 = 2*h + 30, -4*h + 236 = 4*x. What is the remainder when k is divided by x?
51
Let l(f) = 8*f**2 + 2*f + 11. Calculate the remainder when l(-5) is divided by 15.
6
Suppose -v - 4*a + 194 = 0, -3*v + 6*a + 550 = 2*a. Let p = v + -72. What is the remainder when p is divided by 29?
27
Let n = 1000 + -940. Suppose -5*c + 95 = -60. Suppose -7*q + c = -n. What is the remainder when 74 is divided by q?
9
Calculate the remainder when 9 - 11 - -8 - -125 is divided by 4.
3
Suppose 19*c + 14 = 21*c. Suppose -c + 27 = 4*h. What is the remainder when 18 is divided by h?
3
Let t(h) = h**3 - 11*h**2 + 19*h + 11. Let f be t(9). What is the remainder when 91 is divided by 1 - 8/10 - (-376)/f?
15
What is the remainder when (17/(-2))/((-2)/8) is divided by 10/(-4)*114/(-15)?
15
Suppose -19 + 4 = -i - 2*z, -5*z = -4*i + 8. Suppose -f = -2*f + i. What is the remainder when 26 is divided by f?
5
Let o(w) = -w**2 - 32*w - 93. What is the remainder when o(-21) is divided by 30?
18
Suppose -5*f + 182 = 4*g - 11, -4*f = -5*g - 179. Calculate the remainder when f is divided by 20.
1
Suppose 5*t - 240 = -5*n, 0 = 34*n - 29*n + 2*t - 231. What is the remainder when n is divided by 31?
14
What is the remainder when -3 + (-2 - (-185 - 6)) is divided by 47?
45
Suppose -4*i - 12*i + 48 = 0. What is the remainder when 184 is divided by i?
1
Suppose 7*g - 40 = 2*g. Suppose 3*z + 3*b = 4*z + 5, 0 = -4*b + g. What is the remainder when 4 is divided by z?
0
Suppose 0 = 5*l - 9 - 11. Calculate the remainder when 47 is divided by l.
3
Let k(g) = g**2 + 2*g - 3. Let z(y) = -y**2 + 4*y + 50. What is the remainder when z(7) is divided by k(3)?
5
Let w(d) = -2*d**2 - 10*d - 6. Let a = 6 + -10. What is the remainder when 14 is divided by w(a)?
0
Suppose -2*z - 92 = -5*u, 3*u - 23 - 29 = -2*z. Suppose 0*m + 720 = 5*m. Calculate the remainder when 1/2*(m - 2) is divided by u.
17
Let c = -555 + 667. What is the remainder when c is divided by 19?
17
Suppose 0 = -5*a + 26 + 184. What is the remainder when a is divided by 9?
6
Let s = -210 - -335. Calculate the remainder when s is divided by 4.
1
Let d be (-49)/(-14) - (-6)/4. Suppose 5*l + m = 159, -3*m - 126 = -4*l - d*m. What is the remainder when 157 is divided by l?
29
Calculate the remainder when -1*(-247 - (5 - 3)) is divided by 67.
48
Let f(r) = 101*r**2 + 100*r**2 + 7*r - 200*r**2 + 2. Calculate the remainder when f(6) is divided by 21.
17
Suppose 4*i + 2 = w + 7, -5 = 2*i - 3*w. Suppose i*a = -2*a. What is the remainder when a - 1/1 - -94 is divided by 24?
21
Suppose 0*g = -2*g - 5*l + 48, 0 = -l + 6. Let d(w) = 4*w + 4*w + 6 + w**2 - 4*w. What is the remainder when g is divided by d(-4)?
3
What is the remainder when 97 is divided by (-34)/8*288/(-36)?
29
Suppose -3*o - 1612 = -4*j, -1692 = -7*j - o + 1154. Calculate the remainder when j is divided by 37.
36
Let m(n) = -5*n**2 - 3. Let k be m(1). Let z(x) = -x + 17. What is the remainder when z(k) is divided by 14?
11
Let h = 442 - 104. What is the remainder when h is divided by 120?
98
Let i(b) = 24*b**2 + 2*b - 2. Let c be 1 - (0 + 561/(-3)). What is the remainder when (-3)/2*c/(-3) is divided by i(1)?
22
Suppose -5*h + 186 = 4*v, -2*v - 36 = -3*v + 4*h. Calculate the remainder when 124 is divided by v.
36
Let p(o) = 2*o + 155. What is the remainder when p(12) is divided by 18?
17
What is the remainder when 1062/82 - 628/(-12874) is divided by 0 + -1 + 1 