 the remainder when 175 is divided by j.
15
Suppose 0*p + 48 = n + p, -20 = -5*p. Let v = 45 + -42. Suppose v*k = 8*k - 75. What is the remainder when n is divided by k?
14
Let t(v) = 6*v**2 - 2*v + 4. Calculate the remainder when 45 is divided by t(2).
21
Let c = 45 + 130. Suppose a = 4*q - 4*a - c, 5*q = -4*a + 229. What is the remainder when q is divided by 2/(-18) + 3472/144?
21
Suppose 0 = 4*w + 2*x - 14, -5*x - 9 = -5*w + 16. Let l be 14/(-1) - (7 - w). Let m = l + 23. Calculate the remainder when m is divided by 3.
0
Suppose j - 2*j = -5, -2*j + 16 = w. Suppose 2*c = n + 30, -w*n + n - 6 = -c. What is the remainder when 30 is divided by c?
14
Let b be 9 - 4*(-2)/2. Let y = 0 + b. Calculate the remainder when 36 is divided by y.
10
Suppose j + 33 - 41 = 0. Calculate the remainder when 19 is divided by 64/j*10/8.
9
Let v(y) = -25*y - 2. What is the remainder when v(-1) is divided by (-9)/(-15)*(-1 - -21)?
11
Suppose -3*y = y + 3*p - 995, 0 = 2*y + 3*p - 493. What is the remainder when y is divided by (-28)/((7 - 9) + (-12)/(-9))?
41
Let b = 1104 - 999. What is the remainder when b is divided by 53?
52
Let p(k) = 159*k - 1. Suppose -3*n + 26 = 4*t - 78, 3*t = -5*n + 188. Calculate the remainder when p(1) is divided by n.
38
Suppose 3*k - 1836 = 4*p, -4*k + 241*p = 239*p - 2458. What is the remainder when k is divided by 126?
112
Let p(i) = 6*i**2 - 25*i + 11. What is the remainder when p(5) is divided by 29?
7
Let u be 6 - ((-2)/(-5))/(12/30). Suppose -3 = m + a - 10, 3*m = -u*a + 15. Let d = -40 - -68. What is the remainder when d is divided by m?
8
Suppose -2*b + 141 + 211 = -k, 5*k - 895 = -5*b. What is the remainder when b is divided by 52?
21
Suppose -7*y + 1 = -13. Calculate the remainder when 55 is divided by -2 + y - (-14 - 0).
13
Suppose -4*a = -0*a - 116. Suppose -4*d + 338 = 3*q, -q - 4*d + 113 = -3*d. Calculate the remainder when q is divided by a.
27
Suppose 7*d = 8 + 132. Calculate the remainder when 49 is divided by (0 - (-9)/(-6))*d/(-3).
9
Let o(k) = 89*k**3 - 2*k + 3*k**2 - 2*k + 2 + k - 1. What is the remainder when o(1) is divided by 13?
12
Suppose 6*a - 5*a + 3*z = -65, -3*a - 162 = -2*z. What is the remainder when 54 is divided by (-2 - -1 - 1)/(4/a)?
26
Suppose s - 2*r - 67 = 0, 0*s - 5*r - 61 = -s. Let z = 95 - s. Calculate the remainder when 66 is divided by z.
18
Let m(p) be the first derivative of p**3 + p**2 + 3*p + 2. Let c = 3 - 5. Calculate the remainder when 41 is divided by m(c).
8
Let f(y) = -18*y - 1. Let h be f(-4). Let u = h + -32. Let w = 6 + 15. Calculate the remainder when u is divided by w.
18
What is the remainder when 6 - (3 - 2)/((-9)/2259) is divided by 33?
26
Let f be ((4/3)/4)/(3/108). Let u(y) = -y**3 + 12*y**2 + 2*y - 13. What is the remainder when 35 is divided by u(f)?
2
Let n = 183 + 3. Suppose h - 34 = -3*l + n, 4*h - 296 = -4*l. Calculate the remainder when l is divided by 38.
35
What is the remainder when (-4*21/(-6))/((-2)/(-4)) is divided by 17?
11
Suppose -4*v + 18 = 2*h, -5*h - 4*v = -0*h - 27. Suppose 0 = h*z - 93. Suppose -z - 32 = -7*w. What is the remainder when 13 is divided by w?
4
Let c(b) = -b**3 - b. Let g be c(-1). Suppose -g*m = m - 171. Suppose -4*t = -143 - m. Calculate the remainder when t is divided by 13.
11
Let z be (-35)/(-14)*(-2)/(-5)*43. Suppose -w - 51 = -5*y - 2*w, 3*w - z = -4*y. Calculate the remainder when 57 is divided by y.
7
Suppose 52*u + 4*u - 3920 = 0. What is the remainder when u is divided by 25?
20
Suppose 4 = -2*h + 4. Suppose -6*i + i + b = -17, -i - b + 7 = h. What is the remainder when 14 is divided by i?
2
Let r(w) = -15*w**3 - 2*w - 1. Let f(v) = -2*v**2 - 6*v - 1. Let q be f(-3). Calculate the remainder when 31 is divided by r(q).
15
Suppose 4*j - 10*j + 42 = 0. Calculate the remainder when 18 is divided by j.
4
Let h = -183 + 324. Let i = -98 + h. Suppose -3*n + 70 = x, 7*x = -3*n + 2*x + 86. Calculate the remainder when i is divided by n.
21
Let m(x) = -x**3 - 3*x**2 + 24*x + 13. Calculate the remainder when 148 is divided by m(-7).
25
Let n be 57*(8/(-24))/(2/10). Let i = n - -114. What is the remainder when 29 is divided by i?
10
Suppose -10*m + 208 = -2. What is the remainder when 398 is divided by m?
20
Suppose -2*p - 34*p + 1224 = 0. What is the remainder when 39 is divided by p?
5
Suppose 9*a - 19 = 17. Suppose 0 = -g - u + 44, a*g = u + 49 + 132. Calculate the remainder when g is divided by 8.
5
Suppose 4*z - 5*i = 12, -2*z + 4*z = 4*i + 6. Let d(m) = 3*m + 1. Calculate the remainder when 69 is divided by d(z).
9
Suppose 5*r - 171 = -41. What is the remainder when 98 is divided by r?
20
Suppose 3*h + 35 = 2*h. Let f = -14 - h. Suppose -1 = 4*j - f. Calculate the remainder when 18 is divided by j.
3
Suppose -5*f = -9 - 6. Suppose 4*k + 0*t - t - 21 = 0, 13 = f*k + 2*t. Calculate the remainder when 44 is divided by 1/((-4)/(-12))*k.
14
Let i(m) = 2 - 2 - 5*m + 1. Calculate the remainder when 14 - (-1 + (-6 - -7) + 4) is divided by i(-1).
4
Suppose 0 = 3*q + 2*f - 296, -191 = 9*q - 11*q + 5*f. Calculate the remainder when q is divided by 15.
8
Suppose 5*a - 2*t = 152, -a + 3*a - 59 = -t. Calculate the remainder when a is divided by 5.
0
Let l(p) = p**3 - 4*p**2 - 3*p + 5. Let b be l(5). Suppose t - 2*o = 3 - 11, 0 = 5*t + o - b. Calculate the remainder when 140/t - (-6 - -10) is divided by 17.
15
Let n = 23 + 112. Suppose 0 = w + 4*w - 5*f - n, 0 = -3*f - 12. Calculate the remainder when 66 is divided by w.
20
Let h = -4 + 8. Let g = 22 + h. Let t = 16 - 2. What is the remainder when g is divided by t?
12
Suppose -7 = 5*h + 3*k, -5*k = -2*h - 8 - 1. Let m = 23 - h. Suppose -s - 2*g - 18 = -3*s, 0 = 2*g - 10. Calculate the remainder when m is divided by s.
11
Let w(k) = -43*k + 4. Let i be w(-2). Let y be (-2)/(-9) - (-8080)/i. Suppose 8*r + y = 9*r. Calculate the remainder when r is divided by 23.
21
Suppose 4*k - k + 69 = -3*o, -5*k = -3*o + 107. Let h = k - -31. Let s(w) = w**2 + 2*w. Calculate the remainder when h is divided by s(-3).
0
What is the remainder when (1 + 1235/(-35))*-7 is divided by 27?
24
Suppose -3*f + 237 = 2*y - 994, -3*y + 2*f + 1814 = 0. What is the remainder when y is divided by 102?
98
Suppose 0 = -2*w + 5*z + 63, z = 4*w - 65 - 52. Calculate the remainder when w is divided by 4 + 72/99*11.
5
Suppose -k + 4 = -i, -4*k + 12 = -i - 16. Suppose k*g = -0*g + 240. Calculate the remainder when g is divided by 9.
3
Let v(l) = l**2 + 4*l + 3. Let x be v(-3). Suppose x = -r - 4*r + 455. What is the remainder when r is divided by 31?
29
Suppose -5*l - 210 = -5*f, 16*f + 2*l + 198 = 21*f. Calculate the remainder when 379 is divided by f.
37
Suppose 0 = 6*c - 8*c + 62. Suppose -i = -c - 15. Suppose -3*k = 2*n - 72, -2*n = -5*k + n + 120. Calculate the remainder when i is divided by k.
22
Let o(d) = -d**2 + 11*d - 2. Let z be o(8). Suppose z = 3*f - 11. Suppose 3*j = -j + 120. Calculate the remainder when j is divided by f.
8
Suppose 13*l - 1512 = l. Let f = 132 - l. Calculate the remainder when ((-36)/10)/(1/(-5)) is divided by f.
0
Let j(y) = y**3 - 2*y**2 + 2*y - 8. Let h be 3 + (-4 - 5/(-1)). Suppose h*l + 7*b = 2*b + 26, -2 = b. What is the remainder when j(4) is divided by l?
5
Suppose 2*t - 9*t + 245 = 0. What is the remainder when 181 is divided by t?
6
Let p(r) = -8*r + 3. Let h(l) = 25*l - 9. Let w(u) = -2*h(u) - 7*p(u). Let d be w(2). Calculate the remainder when 55 is divided by ((-3)/d)/(2/(-114)).
17
Let n(k) = -6*k - 3. Let l be n(-2). Suppose -2*f + 8 = 5*w - 17, -3*f + l = -2*w. What is the remainder when w/15 - (-148)/10 is divided by 7?
1
Calculate the remainder when 403 + 7 + (3 - (4 + 5)) is divided by 8.
4
What is the remainder when 4 + 6/((-6)/(-539)) is divided by 78?
75
Let h = 4 - -6. Let r = h - 8. Suppose w - 9 = 5*i - r, -11 = -3*w + 5*i. What is the remainder when w is divided by 1?
0
Suppose -6 = -2*t, -3*l + 2*t - 3 = -t. Let b(x) = l*x - 1 + x**2 + 8 + 0 - 5. Calculate the remainder when 7 is divided by b(-2).
1
Suppose -286 - 353 = -9*s. What is the remainder when s is divided by 41?
30
Let q(s) = -4*s**3 - 2*s**2 - 5*s - 8. Let i be q(-2). Let o be (-1)/(-3) - 49/3. Let k = i + o. What is the remainder when 26 is divided by k?
6
Let b(a) = a**2 - 23*a - 65. Calculate the remainder wh