s be -1 + -10 - -1 - (2 + -4). Calculate the remainder when 14/(-10)*(-2 - s - 11) is divided by k.
1
Let c = -23831 + 23847. Suppose 0 = -3*k + 30 + 30. What is the remainder when k is divided by c?
4
Let q(x) = -4*x - 2. Let g be q(-3). Suppose g*j - 107 = 9*j. Calculate the remainder when j is divided by 28.
23
Let n be (-573)/15 + 4 - (-3)/15. Let q = -31 - n. What is the remainder when 6 is divided by q?
0
Suppose 0 = -4*v + 12, -3*v = l - 6*l + 116. Let u = -4 + l. Suppose -326 = -16*n + 314. Calculate the remainder when n is divided by u.
19
Let u(p) = p**2 + 3*p - 23. Let d be u(-7). Suppose 3*h - 61 = -h + d*t, -4*t = 2*h + 2. What is the remainder when 1/(2/128*2) is divided by h?
5
Let m(k) = k**3 - 4*k**2 - 26*k - 1. Calculate the remainder when m(8) is divided by 14.
5
Let m(x) = 4*x**3 + 2*x**2 - 6*x + 7. Let r = -117 + 119. What is the remainder when m(r) is divided by 14?
7
Let b(w) = w**3 - 6*w**2 + 11*w + 5. What is the remainder when 602 is divided by b(3)?
8
Suppose -5*k + 95 = -35. Calculate the remainder when k is divided by (9 + -23)/(3/(6/(-4))).
5
Suppose 6 = 2*h - 5*h. Let k(t) be the third derivative of -t**4/4 + 2*t**2 - 3*t. What is the remainder when 20 is divided by k(h)?
8
Calculate the remainder when (-4)/(-26) + (-148)/(-52) is divided by (-2)/(-9 - -4 - -4).
1
Calculate the remainder when ((-118)/(-5))/(2/5) is divided by 3.
2
Suppose -25*w + 46*w - 380 = 17*w. Let v = -22 + 31. What is the remainder when w is divided by v?
5
Let a = 370 - 322. Calculate the remainder when a is divided by 7.
6
Suppose 2*m - 17 = m. Suppose 4*x - 1 = -2*h - 37, h = 4*x + 30. Calculate the remainder when m is divided by x/40 + (-31)/(-5).
5
Let u(p) = 9*p - 737. Calculate the remainder when 849 is divided by u(83).
9
Suppose 2*q - 14 = 4. Suppose q*i = 4*i + 115. Calculate the remainder when i is divided by 740/44 - 4 - 8/(-44).
10
Let l(q) = -q**3 + 4*q**2 + 19*q - 36. What is the remainder when 406 is divided by l(5)?
32
Suppose 0 = -4*u - u + 50. Suppose -221*g + m = -220*g - 8, 2*m + 58 = 5*g. What is the remainder when g is divided by u?
4
Let s be (2 + -1)*-8*1. What is the remainder when (-7)/(((-4)/s)/((-10)/4)) is divided by 13?
9
Let g(v) = 2*v**2 - 8*v - 105. What is the remainder when g(15) is divided by 114?
111
Let y = -359 - -464. What is the remainder when y is divided by 4?
1
Let j = -95 - -99. Let b(h) = h**2 + 9*h + 8. Let f be b(-6). Let p = f - -19. What is the remainder when p is divided by j?
1
Let b = 501 - -118. Calculate the remainder when b is divided by 4.
3
Suppose 3*c - 18 = -0. What is the remainder when 63 is divided by (c/(-21))/(2/(-154))?
19
Let i(x) = -1. Let w(g) = 2*g - 11. Let k(c) = -6*i(c) - w(c). What is the remainder when k(-5) is divided by 7?
6
Let u(i) = 3*i**2 - 12*i + 69. Calculate the remainder when u(10) is divided by 63.
60
Suppose 3*s - 55 = x, 2*s - 3*x + 4*x = 40. Suppose -3*w = -4*q - 13, 11*w - 13*w = -5*q + 3. Calculate the remainder when s is divided by w.
8
Let a(f) = -8*f - 16. What is the remainder when a(-17) is divided by 63?
57
Let k = 1945 - 1002. Calculate the remainder when k is divided by 86.
83
Suppose 4*w - 24 + 0 = 0. Suppose 2*v + 96 = w*v. What is the remainder when v is divided by 9?
6
Suppose 2*d = 3*s - 431, 8*s - 576 = 4*s + 4*d. What is the remainder when s is divided by 15?
8
Let y(c) be the third derivative of 11*c**4/24 - 11*c**3/6 + 13*c**2. What is the remainder when y(8) is divided by 27?
23
Let o(f) = -36*f - 2301. Let y(k) = -7*k**3 - k - 1. Calculate the remainder when y(-1) is divided by o(-64).
1
Suppose 2*f - 4*q = 312, -3*q = 2*f - 8*q - 315. Suppose 0 = 3*g + 10*g. Suppose -5*m + g*m = -f. What is the remainder when m is divided by 16?
14
Suppose -20*u - 6 = -1266. What is the remainder when u is divided by 2/(-3) + (-224)/(-12)?
9
Calculate the remainder when 121 is divided by 4 - (-7 + 145/(-5)).
1
Suppose -4*w + 0*w + 396 = 0. Let m = -2447 + 2472. What is the remainder when w is divided by m?
24
Let t(h) = h. Let i be t(7). Suppose 4*n + 5*y = 97, -74 = -3*n - i*y + 2*y. Suppose 32 + n = 5*q. What is the remainder when 19 is divided by q?
8
What is the remainder when 2218/14 + 6/28*-2 is divided by 16?
14
Suppose -5*o + 4*o = -5, 0 = -2*j + 3*o + 69. Suppose 3*q = 6*q - 4*d + 69, 2*d = 3*q + 63. Let t = j + q. What is the remainder when t is divided by 8?
7
Suppose 0 = -4*x - 5*k + 46, -4*x = -4*k + 5*k - 54. What is the remainder when 53/(-2)*((-1 - -3) + -4) is divided by x?
11
Let p = -109 + 119. Suppose -5*u - 2*l = -131, -5*l - 95 + p = -4*u. Calculate the remainder when 96 is divided by u.
21
Let r(z) = z**3 + 11*z**2 - 2*z + 2. Suppose -8*f = -5*f + 33. What is the remainder when r(f) is divided by 15?
9
Let i(g) = 2*g**2 - 25*g + 165. Calculate the remainder when i(10) is divided by 7.
3
Let x = -13 + 14. What is the remainder when 39 is divided by x + 1 - (21 + -25)?
3
Suppose -220 = -q - 163. What is the remainder when q is divided by 43?
14
Let t(c) be the second derivative of c**5/20 - c**4/6 - 5*c**3/6 - c**2/2 + 11*c. Let f be (-5 + 9/3)*-2. What is the remainder when 31 is divided by t(f)?
9
Suppose 9*s = 6*s - 45. Calculate the remainder when (-23)/((-2)/(-4)*-2) is divided by s/(-25) - 114/(-10).
11
Let g(o) = -16*o - 5. Calculate the remainder when 30 is divided by g(-1).
8
Let y = 27 - 45. Calculate the remainder when 29 is divided by (-13)/(-3) - (-6)/y.
1
Let k(o) = -o**3 + 29*o**2 + 31*o - 4. What is the remainder when 152 is divided by k(30)?
22
Let a(g) = 2*g**3 - 7*g**2 - 58*g - 5. Calculate the remainder when a(10) is divided by 80.
75
Let p = 6 + 3. Suppose 8*t - 387 = -355. What is the remainder when p is divided by t?
1
Let n = -8 + -5. Let x(o) = o**2 + 10*o + 4. Calculate the remainder when x(n) is divided by 23.
20
Suppose 0 = -3*z - 58 + 58. Suppose 2*t + 2*u - 20 = z, -2*u = -5*t - 4*u + 50. Calculate the remainder when 29 is divided by t.
9
Let q = 120 + -99. What is the remainder when 62 is divided by q?
20
Let i be 92 + 0 + 0/(1 - 0). Suppose 3*c - g - 85 = -3*g, 0 = -3*c + 5*g + i. Calculate the remainder when 109 is divided by c.
22
Let c = -234 - -236. What is the remainder when 13 is divided by c?
1
Suppose -5*x = 2*n - 39, -n - 10*x + 7*x = -19. What is the remainder when 102 is divided by n?
14
Let p = -10 - -4. Suppose 0 = -4*a + 3*a - x + 5, -3*x = a - 1. Let v = a + p. What is the remainder when 1 is divided by v?
0
Suppose 2*h - 4*q - 18 = 0, 0*h + 5*h - 27 = q. Suppose -g = -h*g + 16. What is the remainder when g is divided by 3?
1
Suppose -2*m + 13 = -3*d, -3*d + 8*d = 5*m - 35. Suppose 87 = 5*f - 3. What is the remainder when (-357)/(-27) + (-4)/f is divided by m?
5
Let w = -80 + 48. Let u = 102 + w. Calculate the remainder when u is divided by 15 + 4 - (-1)/(-3)*3.
16
Suppose t + 17 = p, -4*p + 28 = t - 60. Suppose 4*k - 24 - 40 = 0. Suppose -p = -f - 4*g - 2, 4*g + k = 4*f. Calculate the remainder when 19 is divided by f.
5
Suppose 3*m - 2 = 7. Let q = 1 + m. Suppose q*x + 3 - 43 = 0. Calculate the remainder when x is divided by 4.
2
Let n = -16 - -12. Let s be ((-30)/20)/(3/n). Suppose -s*y - y = v - 16, -2*y = -6. What is the remainder when 34 is divided by v?
6
Let n(b) = -b**3 - b + 6. Suppose -3*d - 9 = 0, -z - 2*d - 6 = -3*z. Calculate the remainder when 16 is divided by n(z).
4
Let z(l) be the first derivative of -l**4/4 - 8*l**3/3 - 9*l**2/2 - 12*l - 11. What is the remainder when z(-7) is divided by 2?
0
Suppose -99 + 7 = -2*k. What is the remainder when k is divided by 6?
4
Suppose -2 = -2*v, 3*a - 5*v = -2*a + 210. Calculate the remainder when -2 + 6 + (0 - -164) is divided by a.
39
Calculate the remainder when 138 is divided by (7 - (-136)/(-20))/((-5)/(-475)).
5
Suppose -3*m - 106*f + 111 = -107*f, -5*f = 0. Calculate the remainder when 738 is divided by m.
35
Suppose -4*z + 54 = 5*r - 158, -2*z + 88 = -2*r. Calculate the remainder when 113 is divided by z.
17
Let q(s) = -33*s + 2. Let x = 7 + -2. Suppose -y + x*y = 92. Calculate the remainder when q(-2) is divided by y.
22
Suppose g = -4*g + 360. What is the remainder when g is divided by 37?
35
Suppose 0 = -3*l - t + 4, 5*l = -4*t + 2. Suppose -3 = -g - l. What is the remainder when 15 is divided by (6 - 7)/(g/(-