2 + 11 - 9*z. What is the remainder when 3 is divided by a(c)?
1
Suppose -n + 9 = -51. Suppose k = 15 - n. What is the remainder when k/(3*1/(-2)) is divided by 11?
8
Suppose 62*v + 246 = 68*v. What is the remainder when 91 is divided by v?
9
Let m(s) = s**3 + 7*s**2 - 15*s - 28. Let v be m(-9). Let k = v - -89. Suppose 2*c = -c + 54. What is the remainder when k is divided by c?
16
Let y(d) = -3*d**2 - 4*d + 32. Let o be y(4). Let p(b) = -b + 3. Calculate the remainder when p(o) is divided by 19.
16
Suppose -2566 = -11*w - 663. What is the remainder when w is divided by 48?
29
Let o be 6/(-36) + (-39)/(-18). Suppose -6*g - o*g = -688. Suppose -j = -3*c + g, 2*c + 2*j = 3*c - 32. What is the remainder when 55 is divided by c?
27
Let x = -71 - -71. Suppose x = 4*a - 127 - 169. What is the remainder when a is divided by 25?
24
Suppose -732 = -5*i - 102. Suppose -2*t + q = -i, -5*q + 0*q = -2*t + 134. What is the remainder when t is divided by 32?
30
Suppose 2793 - 15 = 2*t - 3*c, 0 = t - 3*c - 1389. Calculate the remainder when t is divided by 6.
3
Let g = 8 - 15. Let s = g - -16. Suppose -t = 2*c - 72, -5*c = -8*t + 3*t - 165. What is the remainder when c is divided by s?
8
Let a(u) be the third derivative of u**6/120 + u**5/15 - u**4/6 + 13*u**3/6 + u**2. What is the remainder when (6/(-4))/((-3)/28) is divided by a(-5)?
6
Suppose -2*z - 5*l = -594, -12*l - 865 = -3*z - 13*l. Calculate the remainder when z is divided by 24.
23
Let p(j) = -j + 1. Suppose 2*v + 10 = 4*v, -v + 15 = -2*n. Let d(t) = 10*t**2 + t + 1. Calculate the remainder when d(-1) is divided by p(n).
4
Let j(n) = 2*n**2 + 2*n - 3. Let h(d) = d + 54. What is the remainder when j(2) is divided by h(-49)?
4
Suppose -b = -4*b + 216. Suppose 36 = -4*m + 12. Let o = m + 31. What is the remainder when b is divided by o?
22
Let v(m) = 261*m**3 + m**2. Let z be v(-1). Let i = 454 + z. What is the remainder when i is divided by 39?
38
Let q(d) = d**3 - 8*d**2 - d. Let g be q(8). Let h(l) = -16*l - 53. What is the remainder when h(g) is divided by (-232)/(-9) - (-4)/18?
23
Let t = 47 + 15. What is the remainder when t is divided by (-2)/(-4) - (-99)/6?
11
Let i(k) = -k**3 - 11*k**2 - 12*k + 8. Let a be i(-6). What is the remainder when a/15*-15 - -1 is divided by 26?
23
Let d(m) = -2*m + 2. Suppose -a = 0, f + 12 = -f - 2*a. Calculate the remainder when 41 is divided by d(f).
13
Let k = -1316 + 1387. Calculate the remainder when k is divided by 46.
25
Let s(g) = 22*g + 3. Calculate the remainder when 305 is divided by s(2).
23
Let w(l) = 9*l**2 - 19*l + 10. Calculate the remainder when w(4) is divided by 42.
36
Suppose 4*i = -q - q + 446, -5*q - 2*i + 1131 = 0. Let z = q + -104. What is the remainder when z is divided by ((-4)/6)/((-4)/186)?
30
Let j(t) = t**2 + 12*t - 127. What is the remainder when 55 is divided by j(7)?
1
Let d(x) = 3*x - 8 - x + 4*x - 5. Let i(u) = u**2 + 7. What is the remainder when d(4) is divided by i(0)?
4
Let t = 12 + 8. Suppose 3*k - 14 = p - 5*p, -8 = p - 5*k. Suppose -2*s = -p*a - 3*a + 31, -2*a + 18 = 2*s. What is the remainder when t is divided by a?
6
Let s = 23 + 0. Let i(y) be the third derivative of y**5/30 + y**4/6 - y**3/2 + 2*y**2. Calculate the remainder when s is divided by i(2).
10
Suppose 3*t + 5*y = 6*t - 29, -2*y - 8 = 0. Suppose 5*c - t*c = 16. Let g(d) = d**3 - 16*d**2 + 32*d - 53. What is the remainder when c is divided by g(14)?
2
Let q = -32 - -36. Suppose q*d = 14*d - 50. Let y(c) = c**2 + 2. What is the remainder when y(4) is divided by d?
3
Calculate the remainder when 204*32/24 + -3 is divided by 18.
17
Let v = 405 + -308. Calculate the remainder when v is divided by 11.
9
Let m be (1 + -10)*2/6. Let i = m - -8. Suppose -3 = w + q - 6, -3*q - 15 = -3*w. What is the remainder when i is divided by w?
1
Let w(h) = 21*h - 26 - 9*h**2 - 3*h**2 + 11*h**2. Calculate the remainder when w(18) is divided by 8.
4
Let w(p) = -34*p. Suppose 4*m + 7 = -1. Calculate the remainder when w(m) is divided by 12.
8
What is the remainder when 16 is divided by (5 + 26/(-6))*12?
0
Suppose 3*z = 15, -5*p - 14 = -2*z - 79. Let x = -26 + 45. Suppose 5*h + 6 - x = 4*m, 0 = 4*h - 2*m - 14. What is the remainder when p is divided by h?
0
Let p = -2790 + 2825. Suppose -5*d + 42 = o - 30, -d + 135 = 2*o. What is the remainder when o is divided by p?
32
Suppose -142 = -7*g - 653. Let r = -39 - g. Suppose -3*v + 8*v = -2*i + 37, -v + 1 = 2*i. What is the remainder when r is divided by v?
7
Let r be (-2658)/(-54) - (-2)/(-9). Calculate the remainder when (1 - 3 - -2) + r is divided by (-312)/16*2/(-3).
10
Suppose -1131 = -25*c + 1019. Calculate the remainder when c is divided by 38.
10
Let y = 1973 - 1669. What is the remainder when y is divided by 7?
3
Let z(l) = -l**3 + 7*l**2 + 22*l + 18. What is the remainder when z(9) is divided by 41?
13
Let u(v) be the third derivative of -v**4/6 - v**3/6 + 4*v**2. Calculate the remainder when 91 is divided by u(-8).
29
Suppose -4*a = -2*z + 250, 0 = 2*z + 3*a - 274 + 24. What is the remainder when z is divided by -77*(2812/(-4389) + (-6)/(-63))?
41
Let y be 2/8 - (-123)/(-12). Let p(t) = -3*t + 14. Let k be p(y). What is the remainder when (k/(-5))/(12/(-90)) is divided by 17?
15
Suppose 21*q - 420 - 1071 = 0. Calculate the remainder when q is divided by 16.
7
Let u(k) = k**3 + 23*k**2 - 110*k + 20. What is the remainder when u(-27) is divided by 13?
9
Suppose -5*u + 16 = 3*u. Calculate the remainder when 5 is divided by u.
1
Suppose -3*y - 57 = 45. Let f = 69 + y. What is the remainder when f is divided by 12?
11
Suppose 5*n - 232 = 2*h, 12 = 4*n + h - 171. Calculate the remainder when n is divided by 19.
8
Let u = 521 - 372. Let k = u - 100. Calculate the remainder when k is divided by 13.
10
Suppose -x - 4*x + 13 = 4*c, 22 = 2*x - 4*c. Suppose -3*s + 25 + x = 0. What is the remainder when s is divided by 3?
1
Let w(s) = s**3 + 9*s**2 + 13*s - 3. What is the remainder when 117 is divided by w(-7)?
1
Let j(d) = -13 - 5*d - 5*d + 4*d + 1. What is the remainder when 68 is divided by j(-6)?
20
Let u = -48 - -31. Let c(l) = 4*l - 10. Let h(v) = 11*v - 31. Let b(s) = u*c(s) + 6*h(s). Calculate the remainder when 7 is divided by b(-11).
1
Let x = 951 - 858. What is the remainder when x is divided by 35?
23
Calculate the remainder when 313 is divided by -2*1 - (-15408)/144.
103
Let f = -586 + 600. Calculate the remainder when 69 is divided by f.
13
Let i(r) = -6*r - 3. Let x be 0*(-2 + 15/6). Suppose -2*v - 4 = -x*m + 2*m, 0 = -3*v. Calculate the remainder when 35 is divided by i(m).
8
Suppose -124 = 5*j - 309. Suppose -l + j - 11 = 0. Calculate the remainder when l is divided by 15.
11
Let o = 45 - 6. Suppose 19*d = 312 - 160. Calculate the remainder when o is divided by d.
7
Suppose 5*d - 21 - 9 = 0. Let n(u) = -10*u + 18. Let c be n(-6). Let g = c - 62. What is the remainder when g is divided by d?
4
Let l = 636 + -626. Let d(c) = -c + 4. Let i be d(3). Let g = 4 - i. What is the remainder when l is divided by g?
1
Suppose -5*q = 143 - 393. Suppose -2*o = 3*o - 60. Suppose -12 = 4*u, l - o = -u - 2. What is the remainder when q is divided by l?
11
Let n = -1794 + 1814. What is the remainder when 237 is divided by n?
17
Suppose 37 = -0*x + x + 4*r, -210 = -5*x + 5*r. What is the remainder when x is divided by 15?
11
Suppose -3*j = -4*j + 5*c + 113, -215 = -2*j - c. Suppose 113*g = j*g + 70. Calculate the remainder when 179 is divided by g.
11
Suppose 0 = -5*r + 421 + 1019. Calculate the remainder when r is divided by 58.
56
Let n = -67 + 88. Let c = 251 - 128. Calculate the remainder when c is divided by n.
18
Let a(o) = -o**2 - 14*o. Let r be a(-14). Suppose b + b - 4 = r. Suppose q = 4*g - 2*q - 48, 0 = -b*g + 5*q + 24. What is the remainder when 23 is divided by g?
11
Let n = -597 + 750. What is the remainder when 472 is divided by n?
13
Let f(g) = -10*g**3 - 2*g**2 - g. What is the remainder when 62 is divided by f(-1)?
8
Let v(l) be the first derivative of 0*l + 1 + 0*l**2 + 1/3*l**3. Calculate the remainder when 48 is divided by v(5).
23
Suppose 2*l + 12 = 5*l. Let j(x) be the second derivative of -x**3/6 + 3*x**2/2 + 8*x. What is the remainder when j(-2) is divided by l?
1
Suppose -123*o - 114 = -129*o. What is the remai