- 41. Calculate the remainder when c is divided by 19.
17
Suppose 36 = 5*d - d. Suppose 8 = -2*z, -3*n + 0*z - 3*z + 6 = 0. What is the remainder when d is divided by n?
3
Suppose 3*j + 5*o = 113 - 20, 0 = 4*o. What is the remainder when j is divided by 7?
3
Suppose -86 = 2*k - 18. Let z = 38 + k. What is the remainder when 40 is divided by 9 - (-9 - -1)/z?
7
Let l(u) = 3*u + 152. What is the remainder when l(-2) is divided by 41?
23
Suppose 2*c + 108 = -g, -4*g + c - 467 = 2*c. Let o = g + 131. Calculate the remainder when 37 is divided by o.
11
Let u(o) = o**2 - 3*o - 3. Let k(a) = a**3 - 7*a**2 + 8*a - 6. Let c be k(6). Let b be u(c). What is the remainder when 49 is divided by b + ((-2)/(-2) - -1)?
15
Let l(f) = -6*f + 4. Let j be l(-5). Suppose x - j = -x. What is the remainder when x is divided by 9?
8
Let n = 4 - -4. Suppose 2*a + 17 = 3*o - 0*o, a + 4 = 0. Suppose -2*m - o*m = -15. Calculate the remainder when n is divided by m.
2
Calculate the remainder when 115 is divided by (222/(-24) - -9)*-208.
11
Let m(w) = 12*w**3 + w**2 - w + 1. Calculate the remainder when 54/45 - (-184)/5 is divided by m(1).
12
Let s be (23/(-69))/((-1)/222). Let c = s + -27. Calculate the remainder when c is divided by 8.
7
Let x(k) = -7*k - 4. Let d be (-32)/(-12) + (-12)/(-9). Suppose -d*m + 14 - 26 = 0. What is the remainder when x(m) is divided by 5?
2
Let u(t) = t**2 - 3*t - 63. Suppose 5 + 85 = 3*i. Let h = i + -5. What is the remainder when h is divided by u(-7)?
4
What is the remainder when 1854/9 + 28/(-4) is divided by 20?
19
Let n(q) = -5*q - 1. Let w(u) = -5*u. Let c(b) = 5*n(b) - 6*w(b). Let s(p) = 6*p - 1. What is the remainder when s(10) is divided by c(4)?
14
Suppose -17*l - 5*l = -462. Suppose 23 + 127 = 5*c. What is the remainder when c is divided by l?
9
Let z = -41 - -61. Let v = 1263 + -1225. Calculate the remainder when v is divided by z.
18
Let u = 91 - 58. What is the remainder when 64 is divided by u?
31
Let u(x) = -x + 3. Let r be u(4). Let n = 402 + -379. Calculate the remainder when (1 - -1)/r - -46 is divided by n.
21
Suppose -10*j + 262 = -558. Calculate the remainder when j is divided by 7.
5
Suppose 5*a - 6*a = -15. Calculate the remainder when a is divided by 9.
6
Suppose 6*n + 8 = 4*n. Calculate the remainder when ((0 - n) + -65)/(-1) is divided by 21.
19
Let b = 1 + 8. Suppose -2*m = 4*l + 2, 3*l - 2 = -3*m - 8. Calculate the remainder when 27 is divided by (-58)/(-6) - m/b.
7
Let h(b) = b**3 - 7*b**2 - 12. What is the remainder when 145 is divided by h(8)?
41
Let l(m) = -m**2 - 1. Let j(z) = z**3 + 3*z**2 - 4. Let o(s) = j(s) - l(s). Let a be o(-4). Calculate the remainder when 25 is divided by (2 + 1 - a) + 1.
4
Calculate the remainder when 47 is divided by (9 + -4)/(-25)*-65.
8
Let w be (-117)/7 - (-26)/(-91). Let v(q) = q**3 + 19*q**2 + 34*q + 3. Calculate the remainder when v(w) is divided by 3.
0
Suppose -2*l - 3*l - 4*q = -45, 0 = -l - q + 8. Suppose -5*v = 5*d + 52 - 102, 0 = 4*v - 4. What is the remainder when l is divided by d?
4
Let f(s) = s**2 + 12*s - 106. Calculate the remainder when f(11) is divided by 10.
7
What is the remainder when 117 is divided by 0 + -1 - (63/7 - 37)?
9
Let m = -14 - -21. Suppose -403 = -m*t + 136. What is the remainder when t is divided by 16?
13
Let b = -13 - -10. What is the remainder when 12 is divided by ((-40)/(-30))/((-1)/b)?
0
Let n be (-6 - -4)/(-1 + -1). Calculate the remainder when -4*n*82/(-8) is divided by 15.
11
Let o = -151 - -183. What is the remainder when 95 is divided by o?
31
Let z(c) = 12*c - 339. Calculate the remainder when z(65) is divided by 12.
9
Let z(j) = 5*j - 33. Let f be z(7). Suppose -14 = -b + 2*v, 0*v - 24 = -2*b + f*v. What is the remainder when 48 is divided by b?
8
Suppose 3*s - 6*s = -2*p - 514, p - 499 = -3*s. Calculate the remainder when s is divided by 58.
52
Let a(g) = 17*g + 205. What is the remainder when 197 is divided by a(-9)?
41
Let b(n) = -2*n**3 - n**3 + 4*n**3 - 5*n - 6*n**2 - 3. Let r be b(7). Let a = 20 + r. Calculate the remainder when a is divided by 8.
7
Suppose -5*p = 10, 2*y + 3*p - 176 = -0*p. Calculate the remainder when 273 is divided by y.
0
Suppose -f + 17 = 3. Suppose -4*y = -5*h - 393, -4*y + 9*y + 4*h - 481 = 0. What is the remainder when y is divided by f?
13
Let c(d) = d**2 - 8*d + 10. Let r be c(7). Let b = r - 3. Suppose 5*o + b = -2*h + 73, h - 4*o - 30 = 0. Calculate the remainder when h is divided by 9.
7
Suppose -357 = -3*q + 4*l, 124 = 2*q + l - 103. Calculate the remainder when q is divided by 59.
56
Let n(m) = 11*m + 1. Let l(q) = q - 3. Suppose 2*r - r + g - 13 = 0, r - 28 = -4*g. What is the remainder when n(1) is divided by l(r)?
2
Suppose -3*g = g + 4*d - 620, 0 = 4*d. Calculate the remainder when g is divided by 46.
17
Let v = 0 + 15. Calculate the remainder when 81 is divided by -2*1 - 5/(v/(-48)).
11
Let c be 8*(4 - (3 - 0)). Suppose c*u - 180 = -12*u. Calculate the remainder when u is divided by 1.
0
Let x = -13 + 13. Calculate the remainder when 48 is divided by -1*1/1*(x - 10).
8
Let r = 2638 + -2603. Calculate the remainder when 1993 is divided by r.
33
Suppose l = 3, -j + 4*l + 26 + 7 = 0. What is the remainder when 146 is divided by j?
11
Let y(r) = -r**3 + 6*r**2 - 4*r - 4. Suppose 11*g - 20 = 6*g. Calculate the remainder when y(4) is divided by g.
0
Suppose -2*r + 3 = -5*b + 9, b = 4. What is the remainder when r is divided by 3?
1
What is the remainder when 12 is divided by 3/(6/4) - -1?
0
Let c = 505 + -482. What is the remainder when 127 is divided by c?
12
Let b(p) = -p**2 + 4*p + 16. Let h be b(7). Let i(q) = -5*q - 2. Let z(c) = -5*c + 1. Calculate the remainder when i(h) is divided by z(-1).
5
Suppose -84 = -6*u + 2*u. Calculate the remainder when u is divided by 27 - 77*38/209.
8
Let a(q) = -q + 36. What is the remainder when a(-2) is divided by 22?
16
Suppose -4*l + 92 = -0*l. Suppose 0*c + c - 66 = 0. What is the remainder when c is divided by l?
20
Calculate the remainder when (2/(-4)*25)/((-72)/144) is divided by 66/4 - 1/(-2).
8
Let a = -74 - -87. Let t = -4 + 4. Suppose 5*u - 4*z - 45 = t, 4*u - 4*z = -0*u + 40. What is the remainder when a is divided by u?
3
Let b = 276 - 265. Calculate the remainder when 240 is divided by b.
9
Let w(u) = -6*u**3 + 46*u**2 + u + 9. Calculate the remainder when w(7) is divided by 73.
66
Let d(y) = 40*y + 2. What is the remainder when d(3) is divided by 33?
23
Suppose 50*h - 46*h = 140. What is the remainder when h is divided by 19?
16
Let q(r) = -r**2 - 16*r + 24. Calculate the remainder when q(-12) is divided by 37.
35
Suppose 2*h + 40 = -y, -2*y - 66 = 2*h - 5*h. Let g = y - -47. Calculate the remainder when 13 is divided by g.
2
Let f be (-128)/(-7) - 6/21. Suppose 0 = -4*b + 2 - f. What is the remainder when 53 is divided by (-3)/((1 + b)/18)?
17
Let m = 272 - -37. What is the remainder when m is divided by 63?
57
Suppose 846 = 5*l - 5*r - 359, 4*l - 980 = -4*r. Calculate the remainder when 16 is divided by (-166)/(-18) - 54/l.
7
Suppose 439*l + c = 434*l + 1810, -1427 = -4*l - 5*c. What is the remainder when l is divided by 34?
23
Let b = -235 + 288. What is the remainder when 92 is divided by b?
39
Suppose 11*w - 402 - 885 = 0. Calculate the remainder when w is divided by 59.
58
Let t(d) = d**3 + 7*d**2 - 5*d + 11. Let b(m) = -m**3 - 7*m**2 + 6*m - 12. Let y(g) = 3*b(g) + 4*t(g). What is the remainder when y(-6) is divided by 19?
18
Let r(a) = -a**2 + 15*a + 6. Let s be r(15). Suppose 0 = -j + s*j - 240. Calculate the remainder when 190 is divided by j.
46
Let i = -15 - -1. Let n be -3 + -3 + 2/(-4)*-6. Let b = n - i. Calculate the remainder when b is divided by 4.
3
Let m = -779 - -792. Calculate the remainder when 58 is divided by m.
6
Let r(p) = p**3 + 13*p**2 - 15*p - 5. Let f be r(-14). Let d be (5 - -1) + 4/(-2). Suppose -d*o = f - 29. What is the remainder when 18 is divided by o?
3
Let w(s) = -s**2 - s - 3*s**3 - 1 - 4*s**3 + 5*s**3 - s**3. Let z be w(-1). Suppose 27 = z*x + x. Calculate the remainder when 31 is divided by x.
4
Let z = -2144 - -2155. Calculate the remainder when 2825 is divided by z.
9
Suppose 2*r = -4, x + 2*r - 4 + 0 = 0. Suppose 0 = 4*o - x. Suppose -3*z + 53 = o. Calculate the remainder when z is divided by 6.