. Calculate the remainder when a is divided by 14.
9
Suppose 0 = 3*j + j - 16. Let d(w) = -w**3 + 4*w**2 + 2*w + 5. Let a be d(j). Calculate the remainder when 14 is divided by 67/a + 2/(-13).
4
Suppose l - 58 + 1 = 0. Let d = 21 + -71. Let w = -38 - d. Calculate the remainder when l is divided by w.
9
Let f = 325 + 415. Suppose 3*t - f = -t + 4*d, 0 = -4*d - 16. What is the remainder when t is divided by 46?
43
Suppose 10 = 4*f - 2*f + 5*g, 10 = 2*f - 4*g. Suppose -3*z - 3*c + 51 = 0, -f*c = 5 + 5. Calculate the remainder when 84/(-18)*(1 + -13) is divided by z.
18
Let y(b) = 4*b + 11. Suppose 5*t + 3*d - 17 = 30, -2*d + 38 = 4*t. What is the remainder when y(t) is divided by 9?
6
Let l(y) = 11*y**2 - 83*y - 105. Let c(f) = 5*f**2 - 41*f - 53. Let u(v) = -7*c(v) + 3*l(v). Calculate the remainder when u(19) is divided by 15.
11
What is the remainder when (-9)/(18/(-4)) + -5 + 1716 is divided by 78?
75
Let o(r) = 2*r + 16. Suppose 2*x - 7 = -1. What is the remainder when o(-4) is divided by (-12)/(-3)*x/4?
2
Let t(p) = p**3 + 3*p**2 - p - 1. Let g be t(-1). Suppose 0 = -g*m + 10 + 20. What is the remainder when 43 is divided by m?
13
Let s(v) = -10*v**2 - 107*v + 9. What is the remainder when 2130 is divided by s(-10)?
76
Suppose 2*f - o - 44 = -2*f, 5*f - o - 54 = 0. Let s = -6282 - -6290. What is the remainder when f is divided by s?
2
Suppose 50*y = 274*y - 2688. Suppose -4*x + 269 = 5*i, -2*i + 315 = -0*x + 5*x. Calculate the remainder when -1 + x - (-1 + 2) is divided by y.
11
Let h(f) = -f**2 - 6*f + 13. Let t be h(-8). Calculate the remainder when 69 is divided by 33/(-22)*38/t.
12
Suppose 0 = 5*n + q - 1474, 3*q = 5*n - 734 - 724. Calculate the remainder when n is divided by 37.
35
Suppose -4*q + 8 = -4*a - 4, -q - 2*a = 12. Let i = 13 - q. Calculate the remainder when ((-7)/3)/((-1)/18) is divided by i.
12
Let w(g) = -9*g + 84. Calculate the remainder when 104 is divided by w(7).
20
Suppose 29*q - 812 = 15*q. Let x(n) = n**3 + n**2 + n - 19. Let j be x(0). Let r = -4 - j. Calculate the remainder when q is divided by r.
13
Let w(v) = v**3 - 11*v**2 - 11*v + 15. Let p be w(14). Suppose -3*h = 5*z - 4*h - p, 5*h = -20. What is the remainder when z is divided by 18?
17
Suppose -2*t - g = -4*t + 115, -2*g - 6 = 0. Suppose -314*s + t = -310*s. Calculate the remainder when 81 is divided by s.
11
Let k(d) = d - 1. Let x(c) = -1. Let z(i) = -k(i) + 3*x(i). Let o be -3 + 1 + 0 + -4. What is the remainder when 7 is divided by z(o)?
3
Let w(h) = -h**2 + 14*h + 24. Calculate the remainder when 5*(393/15 + 2) is divided by w(12).
45
What is the remainder when ((-6)/(-15) - (-456)/(-40))*-1 is divided by 9?
2
Let u(q) = 25*q + 2. What is the remainder when u(6) is divided by 13 - 8*6/32*-6?
20
Let w(a) = 48*a**2 + 10*a - 9. Calculate the remainder when w(-2) is divided by 40.
3
Let p(k) = k**2 + 3*k - 2. Suppose 3*g - 2*u = 2*u - 8, 3*u - 23 = -2*g. What is the remainder when 103 is divided by p(g)?
25
Let v = -6 + 9. Let z be ((-12)/15)/(8/(-60)*3). Suppose 9 = -z*c + 17. Calculate the remainder when c is divided by v.
1
Let r = 152 - 73. What is the remainder when r is divided by 22?
13
Let f = 100 + -88. What is the remainder when f is divided by 0/((-3)/1) + 8?
4
Let j = -736 - -757. Let c be 6 - (-2)/4*-2. Suppose c*n = 2*k + 8, -3*k = 2*n - 9 - 17. What is the remainder when j is divided by k?
3
Let b(y) = -43*y**3 + y**2. What is the remainder when b(-1) is divided by 9?
8
Let q(u) = u**3 - 4*u**2 - 4*u + 3. Let c be (-2)/5 + (-8)/(-20). Suppose -15 = -c*i - 3*i. What is the remainder when 31 is divided by q(i)?
7
Let o(k) = 5*k**2 + 14*k + 14. Let p(n) = -6*n**2 - 14*n - 15. Let c(z) = -5*o(z) - 4*p(z). What is the remainder when 25 is divided by c(-12)?
11
What is the remainder when (16/(-10))/(30/(-975)) is divided by (4/(-6))/(9/(-243))?
16
Suppose -4*s - 195 - 289 = 0. Suppose 30 = 3*m + 288. Let y = m - s. What is the remainder when y is divided by 18?
17
Suppose 5*h - 4*l - 23 = -0*h, 2*l - 6 = 0. Calculate the remainder when 139 is divided by h.
6
Let f = 220 + -180. Suppose -m = -2*o + o + 163, 2*m = -4*o + 628. What is the remainder when o is divided by f?
39
Suppose 3*g + 17*g = 6080. What is the remainder when g is divided by 51?
49
Suppose k - 12 = -2*x, 0 = -k - 3*x - 1 + 11. Let m = 150 + -25. What is the remainder when m is divided by k?
13
Suppose -g + n + 46 = 2*g, -n = g - 18. Let b(i) = 17*i - 128. Calculate the remainder when b(11) is divided by g.
11
Suppose 4*o - 5*w = 103, 0 = 5*o - 4*w - 69 - 62. Calculate the remainder when 80 is divided by o.
26
Let p = 691 + -661. Calculate the remainder when p is divided by 21.
9
Let w(f) = f + 19. Let j be w(-14). Suppose -3*p + 5*b = -29, j + 5 = 2*p - b. Let l(y) = y**2 - 2*y + 4. What is the remainder when l(-3) is divided by p?
1
Let p(w) = 41*w**2 + w - 4. Let k be p(3). Suppose 12*c - k = 8*c. What is the remainder when c is divided by 24?
20
Let q be 3/12 - (-3 - (-78)/(-8)). Suppose -112 + 840 = q*p. What is the remainder when p is divided by 19?
18
Let h(r) = 2*r - 8. Let s(o) = -2*o + 9. Let x(l) = -6*h(l) - 5*s(l). What is the remainder when 83 is divided by x(-9)?
20
Suppose -y - 73 = -2*y. Let v be -1 + (-42)/(-11) + (-4)/(-22). Suppose 0*h = -5*h - 15, v*w = 2*h + 120. Calculate the remainder when y is divided by w.
35
Let m = -6 + 9. Let p = 2 + 1. Suppose t - m*d = p, -2*t + 5 = 4*d - 11. What is the remainder when 10 is divided by t?
4
Suppose -14*p = -32 - 66. Let z(d) = -d**3 - 3*d**2 + 4. What is the remainder when p is divided by z(-3)?
3
Let c(f) be the first derivative of -7*f**3/3 - 11*f**2 - f + 2. What is the remainder when 2 is divided by c(-3)?
0
Suppose 0*g - g = -115. Suppose -g = -2*u + 349. Suppose 4*m + 3*z = u, 8*m - 317 = 3*m + 3*z. What is the remainder when m is divided by 16?
13
Suppose -72 = -3*t - x + 28, 20 = t + 3*x. Calculate the remainder when t is divided by 9.
8
Let w(o) = 46*o + 313. What is the remainder when w(-6) is divided by 9 + (1 - (1 + -1))?
7
Let g be (-111)/(-12) - (-1 + (-15)/(-12)). Suppose 72 = -g*c + 15*c. What is the remainder when c is divided by 3?
0
Suppose b - 6*b + 29 = 3*c, -2*c + b = -15. Calculate the remainder when c is divided by 7.
1
Let l(b) = 46*b**2 + 2*b + 2. Suppose 0 = -0*w + 2*w + 5*c - 8, 0 = w - c + 3. What is the remainder when l(w) is divided by 25?
21
Let q(i) = 6*i**2 + 13*i + 11. What is the remainder when 15/(1 - 2/4) is divided by q(-1)?
2
Let f(q) = 14*q - 3. Suppose -21 = -5*p - 2*p. Calculate the remainder when f(p) is divided by 22.
17
Suppose -12 = -3*k, 0 = -0*b + 4*b - k - 56. Suppose 3*o - 3*r - 30 = 0, -5*r + b = 40. What is the remainder when 8 is divided by o?
3
Suppose 3*g + 6 = 0, 3*g + 5 = -v - 1. Let b be v + -19 + (-13 - -16). Let a = b - -20. Calculate the remainder when 6 is divided by a.
2
Suppose -11*w = 55 - 429. What is the remainder when 119 is divided by w?
17
Suppose 239 = 2*o - 3*z, -5*z + 381 = 3*o - 2*z. What is the remainder when o is divided by 23?
9
Suppose -23 + 338 = 9*j. What is the remainder when 628 is divided by j?
33
Suppose 2*i - 16 = -w - 2*i, 4*w - 3*i - 7 = 0. Let a(g) = 16*g**2 + 2*g - 2. What is the remainder when (180/(-8))/((-2)/w) is divided by a(1)?
13
Let i = 645 + -117. Suppose -12 = 3*n, -3*n = -o + 6*o - i. What is the remainder when o is divided by 22?
20
Let k be (-688)/18 + 10/45. Let x = -23 - k. Calculate the remainder when 28 is divided by x.
13
Let v = 1527 - 1463. What is the remainder when 79 is divided by v?
15
Suppose 2*u + 0*u = -2*u. Suppose 0 = -3*r + y + 38, -2*r + 48 = -u*y + 5*y. Calculate the remainder when 26 is divided by r.
12
Let g = -11 + 16. Let a(l) = l - 1 - 2*l - 3 + g. What is the remainder when 18 is divided by a(-6)?
4
Suppose -56*o = 2*n - 53*o - 220, -5*o = -4*n + 484. What is the remainder when n is divided by 42?
32
Let a(p) = -19*p + 159. Calculate the remainder when 50 is divided by a(8).
1
What is the remainder when 69 is divided by (-220)/66*(-54)/10?
15
Let v(a) = 6*a. Let h be -1*1 + (7 - 1). Let n be v(h). Let y = 69 - n. Calculate the remainder when y is divided by 10.
9
Let z(o) = -7*o**2 - 3 + 2 + 41*o**2 - 2*o + 3*o**2. Calculate the remainder when z(-1) is divided by 14.
10
Suppose 0 = -a - 3