 by t?
5
Suppose -q - c + 4*c + 17 = 0, 5*c - 89 = -2*q. What is the remainder when 123 is divided by q?
27
Suppose 0 = -5*d + 9 + 16. What is the remainder when (6/(-3))/(2/(-12)) is divided by d?
2
Suppose -13 = -4*w - 4*a + 15, 0 = a. What is the remainder when 27 is divided by w?
6
Suppose 15*h - 357 = -2*h. Calculate the remainder when 81 is divided by h.
18
What is the remainder when (-13 - -9)/((-2)/13) is divided by 14?
12
Suppose 144 + 80 = 4*t. Suppose 4*s = -4*k + 60, 0 = -4*k - 3*s + t + 2. What is the remainder when 36 is divided by k?
10
Suppose -5*b + 77 = -2*m - 2*m, 4*m = 3*b - 51. Suppose 3*z - 37 = -2*i, 2*i + 0*z - 5*z = b. Calculate the remainder when 53 is divided by i.
11
Let n = 0 - -5. Suppose 0 = -2*x + n*x - 9. Suppose -4*r + 2*a + 7 = -a, x*r - 4*a = 0. What is the remainder when r is divided by 2?
0
Suppose 5*w = -0*w - h + 25, -25 = -5*w + 4*h. What is the remainder when 12 is divided by w?
2
Let d = 23 - -3. Suppose 3*x = -5*v - 4 - 3, 2*x - 3*v = 27. Suppose -85 = -5*u + 3*o, 3*u - 4*o - 56 = x. Calculate the remainder when d is divided by u.
12
Let c = -35 + 66. What is the remainder when c is divided by 11?
9
Let o(a) = -5*a + 3. Suppose -z + 2*z = -3. Let l be o(z). What is the remainder when 26 is divided by 5*-2*l/(-20)?
8
Let r(z) = z**3 + 9*z**2 - 9*z - 5. Let k be r(-9). Suppose -k = 3*x - p - 288, -72 = -x - p. What is the remainder when x is divided by 36?
35
Let c(k) = -k. Suppose 2*b = -2 - 4. Calculate the remainder when 11 is divided by c(b).
2
Let h = 5 - -23. Calculate the remainder when h is divided by 14 - (0 - 3/3).
13
Suppose 0 = i - 0*i - 40. Calculate the remainder when 157 is divided by i.
37
Let j = 2 + -3. Calculate the remainder when 1/(-1)*1*-28 is divided by -1*(j - (1 - -13)).
13
Let v(o) = 3*o**3 - 4*o + 1. Let a = 1 - -2. Calculate the remainder when v(a) is divided by 18.
16
Let o = 36 - 25. Calculate the remainder when o is divided by (8/(-10))/((-4)/30).
5
What is the remainder when -3 - ((-44)/2 - 1) is divided by 11?
9
Suppose 5*b - 301 = -2*z, b = 2*z - 6*z + 557. Let s = -46 - -81. What is the remainder when z is divided by s?
33
Suppose -f + 5 = 2. Suppose -f*v - q - 49 = -4*v, 160 = 4*v + 5*q. Calculate the remainder when v is divided by 12.
9
Let q = 9 - 5. Suppose -2*f + 7 = -5*u + 28, -q*u = 3*f - 3. Calculate the remainder when u is divided by 2.
1
Suppose 0 = -3*j + 5*j, -4*a - 4*j = -32. What is the remainder when 14 is divided by a?
6
Let l(r) = -6*r - 16. What is the remainder when 38 is divided by l(-5)?
10
Suppose -12*q + 16*q = 12. Calculate the remainder when q is divided by 3.
0
Suppose -17 = -3*a + 76. What is the remainder when a is divided by 8?
7
Suppose -n + 72 = s, 5*n - 351 + 6 = -2*s. Let m(x) = -x**2 + 17. Calculate the remainder when n is divided by m(0).
16
Let w = 223 + -117. What is the remainder when w is divided by 18?
16
Let h be 4 + 2/(-1) - -22. Let l = h - 5. Suppose 19 = 2*d - l. Calculate the remainder when d is divided by 7.
5
Let q(i) = -7*i - 10. What is the remainder when 124 is divided by q(-6)?
28
What is the remainder when 39 is divided by (-462)/44*(-2)/3?
4
Calculate the remainder when 33 is divided by -13 + 13 - (-1 + -16).
16
Let m(w) = 7*w**2 - 33*w + 18. Let u(h) = -10*h**2 + 49*h - 27. Let q(n) = -7*m(n) - 5*u(n). Calculate the remainder when 35 is divided by q(14).
8
Let z(i) be the second derivative of i**4/12 + 3*i**3/2 - 5*i**2/2 + 3*i. Let s = -89 + 138. Calculate the remainder when s is divided by z(-11).
15
Suppose 5*i + 0*i - 129 = -4*d, 5*d - 110 = 4*i. Let a(q) = -4*q - 3. Let k be a(-3). What is the remainder when d is divided by 21*1/(k/6)?
12
Suppose 0 = 6*r + 233 - 629. What is the remainder when r is divided by 23?
20
Let s(t) = -33*t - 3. Suppose 10 = 5*q - 70. What is the remainder when s(-1) is divided by q?
14
Let f(x) = -x**2 - 2*x + 2. Let p be f(-3). Let j be (-1 - 0)/(p/1). What is the remainder when j - ((-3 - -2) + -11) is divided by 7?
6
Suppose -3*x - 5*t + 33 = -3*t, 3*t - 22 = -2*x. Suppose 4*d - 55 = -x. Let y = -47 + 67. Calculate the remainder when y is divided by d.
9
Let t = -23 - -48. Let a = -22 - -31. What is the remainder when t is divided by a?
7
Suppose 0 = g - 3*u - 49, 3*g - 4*u + 2*u - 154 = 0. Calculate the remainder when g is divided by 14.
10
Suppose 2*q = 5*t - 1, -t - 5 = -3*q - 0. Let j be (4 - 11) + 2 + -1. Let l = 7 + j. What is the remainder when q is divided by l?
0
Suppose 0 = -2*x - 3*x. What is the remainder when 15 is divided by (x + 3/5)*10?
3
Let z = -3 + 12. Suppose 2*k = 4*s - 24, -z + 37 = 2*s + 3*k. What is the remainder when 15 is divided by s?
7
Let c = -42 - -45. Let d = 1 - -4. Calculate the remainder when d is divided by c.
2
Let l(h) = h**3 + 5*h**2 + 4*h + 1. Let o be l(-4). Let d be o*(1 - (-2 + 2)). Let j = d - -2. What is the remainder when 5 is divided by j?
2
Let j(h) = 15*h - 2 - 4*h + 5*h + 3. Let u be j(2). Suppose -a + u = 2*a. Calculate the remainder when 43 is divided by a.
10
Let j(h) = h**2 + 7*h + 11. What is the remainder when j(-9) is divided by 10?
9
Let d = -1 + 3. Let k = d - -5. Calculate the remainder when k is divided by 4.
3
Let r be ((-60)/9)/(-5)*-3. Let w(k) = 2*k**2 + 4. Let a be w(r). Let x = a - 25. Calculate the remainder when 21 is divided by x.
10
Let z(c) = 3*c**2 - 22*c + 11. What is the remainder when 6 is divided by z(7)?
2
Let a(m) = m - 9. Let i(y) = -1. Let d(o) = -a(o) + 6*i(o). Let g be d(-4). Let r = -4 + g. Calculate the remainder when r is divided by 2.
1
Suppose 0 = 2*z - 0 + 22. Let n be 0/1 + 2 - z. Let a = n + -8. What is the remainder when a is divided by 3?
2
Calculate the remainder when 36 is divided by (-1 - 57/(-12))/(15/20).
1
Let o(q) = -2*q + 7. Calculate the remainder when 85 is divided by o(-11).
27
Suppose -2*a = 2*a - 52. Let r = -3 - -4. Calculate the remainder when 114/(3/r) + -1 is divided by a.
11
Suppose 0*b + 4*b = 60. Let z = 11 - b. What is the remainder when 7 is divided by z/6 - 11/(-3)?
1
Suppose 9 + 11 = -2*q - j, q = 5*j - 32. Let y = q + 17. What is the remainder when y is divided by 4?
1
Let h(f) be the second derivative of f**4/12 - 7*f**3/6 + 7*f**2/2 - 3*f. Let z = 27 - 9. Calculate the remainder when z is divided by h(7).
4
Suppose 0 = -d - 4 + 10. What is the remainder when 18 is divided by 15*(2 - 8/d)?
8
Let l(m) = 6 + 12 + 5 - 3*m. What is the remainder when l(-12) is divided by 15?
14
Let d(g) = g**2 - 14*g + 28. What is the remainder when 9 is divided by d(12)?
1
Suppose -3*s + 4*v = s - 80, 5*s - v = 88. Let g = 29 - s. Suppose -2*n + 8 = -2*t, -5*n + 2*t = -2*n - g. What is the remainder when 10 is divided by n?
2
Suppose 0 = -g - g + 26. Let v = -6 - -9. Suppose 21 + v = 3*j. What is the remainder when g is divided by j?
5
Let i(c) = -2*c - 26. Calculate the remainder when i(-18) is divided by 6.
4
Let l = 134 + -85. Suppose 3*t - l = -2*m, 4*m - 60 = -5*t + t. Suppose 3*j = 5*a + 37, a + t = 2*j + 6. What is the remainder when 14 is divided by j?
2
Let u = 50 + -47. Let l be (-69)/(-2) - (-1)/2. Suppose 29 = u*g + 4*b - l, 0 = 2*b + 4. What is the remainder when 47 is divided by g?
23
Let t(o) = o**2 - 2*o + 3. Let p be t(2). Let s(r) = r**3 - 2*r**2 - 1. Calculate the remainder when 14 is divided by s(p).
6
Let r(j) = 6*j + 1. Let g be r(5). Suppose 0 = 2*v - g + 1. What is the remainder when v is divided by 8?
7
Let y = 76 - 67. Calculate the remainder when 9 is divided by y.
0
Let i = 55 - 14. Calculate the remainder when i is divided by 4/6 + (-31)/(-3).
8
Let y = 79 - 32. What is the remainder when y/5 - (-4)/(-10) is divided by 5?
4
Let q(t) = -6 - 5*t**2 - t**3 - 13*t + t**2 + 11*t. Calculate the remainder when q(-5) is divided by 15.
14
Suppose -4*o + 20 = o. Suppose f - 5 = -2. What is the remainder when o is divided by f?
1
Let t be 0/(-1) - (0 - 3). Suppose 30 = -u + t*u. Calculate the remainder when u is divided by 9.
6
Suppose x + 332 = 4*o - 3*x, -4*o + 5*x = -328. What is the remainder when o is divided by 23?
18
Suppose 710 = 5*d + 4*u, 6*d - 4*u = d + 670. What is the remainder when d is divided by 14?
12
Suppose 2*r - 3*b = 13 + 1, -2 = -r + 4*b. What is the remainder when 5/(10/(-4)) + 41 is divided by r?
9
Let a(r) = r**2 + 6*r - 32. Let c be a(