89 + (1 - -5).
2
Let d(n) = 70*n - 305. What is the remainder when 178 is divided by d(5)?
43
Suppose 2*a - 3*a = -5. Suppose -a*z + 41 - 11 = 0. Calculate the remainder when 26 is divided by z.
2
Suppose -3*j + 47 + 18 = 2*m, 4*j - 3*m - 115 = 0. Suppose 11*b - 10*b = -1, -737 = -5*z + 2*b. What is the remainder when z is divided by j?
22
Suppose -4*t = 4*w - 180, -2*t = t + 4*w - 137. Let d be (-3 + t)/(2/5). Suppose -h = 3*h - d. Calculate the remainder when h is divided by 13.
12
Suppose -95 = -3*t - 2. What is the remainder when t is divided by (204/(-748))/(2/(-66))?
4
Suppose -16*v - 124 = -668. What is the remainder when 170 is divided by v?
0
Let m(o) = -190*o - 474. What is the remainder when m(-4) is divided by 24?
22
Let j(m) = 2*m**3 + 29*m**2 + 14*m + 30. Let c(o) = 21*o - 9. What is the remainder when c(6) is divided by j(-14)?
27
Suppose -p + 0 = -s - 13, 2*p = -s + 20. Let f = 11 - p. Suppose -5 = 5*d, 5*c - 2*d - 113 - 24 = f. Calculate the remainder when c is divided by 7.
6
Suppose 0 = 3*r - 84 + 27. Let w(y) = 3*y - y + 21 - 3*y + 2*y. What is the remainder when r is divided by w(-11)?
9
Suppose 3*j - 4*y = 182, -7*y + 83 = 2*j - 2*y. What is the remainder when j is divided by 11?
10
Suppose 0 = -5*l + 37 + 398. Suppose 0*u = -2*u - 5*z + 36, 0 = -5*u + 5*z + 90. Calculate the remainder when l is divided by u.
15
Suppose 325 = 3*m + 5*z, -111 = 3*m - 4*m - 3*z. What is the remainder when m is divided by (6/(-6))/(1/(-22))?
17
Suppose 41 = 6*q - 871. Suppose 0 = -13*k + 5*k + q. Calculate the remainder when 29 is divided by k.
10
Let o(x) be the third derivative of x**4/12 + 7*x**3 - 40*x**2. Calculate the remainder when o(-6) is divided by 9.
3
Suppose -13*m - 144 + 196 = 0. Let d be (-18)/((-2)/(32/3)). Suppose -s + m*s = d. Calculate the remainder when s is divided by 17.
15
Suppose 0 = 12*a + 50*a - 2170. Calculate the remainder when 126 is divided by a.
21
Suppose 16*p = 803 - 115. What is the remainder when 152 is divided by p?
23
Suppose -10*z + 561 = 7*z. Suppose 0 = 2*v - 2*b + 4*b - 332, -v + 136 = -5*b. Calculate the remainder when v is divided by z.
29
Let o(k) = -23*k - 5. Suppose -2*c - 8*v + 58 = -10*v, 0 = -4*c - 5*v + 98. What is the remainder when o(-6) is divided by c?
25
Suppose k = 3*r - 14, -14 = -5*k + 6. Let x(c) = c**2 - 5*c + 5. Let z be x(5). Suppose -b - 3 = -z. Calculate the remainder when r is divided by b.
0
What is the remainder when (-1639 - -13)*((-5)/2 - -2) is divided by 34?
31
Suppose 2*p - 5*p + 9 = 0. Suppose 5*k + 2*f - 29 = 70, 2*k - 33 = -p*f. Calculate the remainder when 103 is divided by k.
19
Let s(b) = -9*b**3 + 18*b**3 + 2*b + 4*b**2 + 8 - 10*b**3. What is the remainder when 46 is divided by s(4)?
14
Let i(v) = -v**3 + 23*v**2 - 30*v + 7. Let o be i(21). Suppose f - 2*f - 4*j = -97, -3*f - 4*j + o = 0. What is the remainder when f is divided by 42?
39
Let z(f) = -f**2 - 8*f + 2. Let j be z(-10). Let x = -34 - j. What is the remainder when 34 is divided by (x/(-10))/((-2)/(-15))?
10
Let i be (9/(-6))/((-9)/60). Let t be (-20)/(-1*i/15). Let h = t + -18. What is the remainder when 83 is divided by h?
11
Let t(f) be the second derivative of -f**3/6 + 7*f**2/2 - 23*f. Calculate the remainder when t(3) is divided by 1.
0
What is the remainder when (-7)/(-21)*-4*(-534)/4 is divided by 15?
13
What is the remainder when (390/(-91))/(6/(-308)) is divided by 32?
28
Suppose 2*u + u = 0. Suppose -3*a + 393 = -5*l + 1038, -4*l - 4*a + 516 = u. Calculate the remainder when l is divided by 33.
30
Let v = -1547 + 1727. Calculate the remainder when 370 is divided by v.
10
Let r = -21 - -27. Suppose 90 = r*x - 396. Suppose 3*n = -0*t - 2*t + 41, 3*t = 5*n + 109. What is the remainder when x is divided by t?
25
Let g(d) = -4*d**3 + 18*d**2 - 19*d. Let n(x) = -x**3 - x**2 + x + 1. Let r(s) = -g(s) + 3*n(s). Calculate the remainder when r(20) is divided by 11.
10
Suppose 0 = -19*q + 14*q. Suppose 3*p - 68 - 34 = q. What is the remainder when p is divided by 7?
6
Let b(y) = y**2 + 11. Let i = 16 + 5. What is the remainder when b(-7) is divided by i?
18
Let z = -2 - -1. Let j(s) = -64*s + 1. Calculate the remainder when j(z) is divided by 23.
19
Let j(q) = -q**3 - 5*q**2 + 4*q - 7. Let m be j(-6). Let u(l) = l**3 - 7*l**2 + 12*l. What is the remainder when u(m) is divided by 6?
4
Suppose -9*n = -5*m - 5*n + 43, -4*n + 13 = 3*m. Calculate the remainder when 55 is divided by m.
6
Let y = 877 - 822. What is the remainder when y is divided by 22?
11
Suppose -6*r + r + 335 = 0. What is the remainder when r is divided by 20/(2 + -1) + -3?
16
Let j = 63 - -47. Suppose 0 = l - p - 18, -5*p = -5*l - 4*p + j. Let o = 23 + 44. Calculate the remainder when o is divided by l.
21
Let y(h) = -8*h + 65. What is the remainder when 647 is divided by y(-12)?
3
Suppose -2569 = -2*p - 5*r, -392 = -3*p + 3*r + 3472. Calculate the remainder when p is divided by 15.
12
Suppose 10 = 29*y - 27*y. Suppose y*o = 11 + 14. Suppose 0 = -o*u + 36 + 24. What is the remainder when u is divided by 7?
5
Let x = -1 + 8. Suppose 2*i = 2*s - x*s + 62, 5*s = -4*i + 54. What is the remainder when 27 is divided by s?
13
Let a(c) = -3*c**3 - 2*c**2 + c + 2. Suppose 3*i - 47 = -f, 2*f = 6*f + i - 177. Calculate the remainder when f is divided by a(-2).
12
Suppose 0 = 25*j - 889 - 211. Suppose -2*h = 3*o - 42, o + 26 = -h + 3*h. What is the remainder when j is divided by h?
14
Let r(c) = c**2 - 2*c + 2. Let k be r(-7). Suppose 5*z + k = 4*w + 4*z, 85 = 4*w - 5*z. Suppose 3*p = w - 6. What is the remainder when 13 is divided by p?
1
Let m be 1/((-1)/(-34)) + -1. Let f = -30 + m. Calculate the remainder when 12 is divided by f.
0
Let i = -1700 - -1810. Calculate the remainder when i is divided by 45.
20
Let m(b) = -b**2 + 6*b - 7. Let z be m(4). Suppose 58 = 3*j + z. What is the remainder when j is divided by 7?
5
Let k(v) = v**3 - 2*v**2 - 4*v + 5. Calculate the remainder when k(6) is divided by 65.
60
Suppose 0*q = q - 33. Suppose 2*o + 5 + q = 4*c, c - o - 8 = 0. What is the remainder when 21 is divided by c?
10
Suppose -8*j + 6*j - 12 = 0. Calculate the remainder when (-13)/((10/j)/5) is divided by 10.
9
Let n = 30 + -15. Let b(a) = -a**2 - 12*a + 23. Suppose -5*u - 3*g - 41 = 0, -2*u + 0*u - 2*g - 14 = 0. Calculate the remainder when b(u) is divided by n.
13
Let w = 173 + -10. Suppose 4*a = 41 + w. Calculate the remainder when a is divided by 26.
25
Suppose 3*q + 0*q = 9. Let d be 97 - (-1 + 9/3). Suppose -q = n - d. Calculate the remainder when n is divided by 31.
30
Let c be 4/(-6)*(0 + -21). Let a = c + -7. Suppose 6*m - a*m + 34 = 0. Calculate the remainder when m is divided by 18.
16
Let v be (13 + -13)/((-4)/(-2)). Suppose 0 = -v*u - u + 6. Calculate the remainder when 73 is divided by 344/24 - (-4)/u.
13
Let p(z) = -z**3 + 7*z**2 - 9*z + 11. Let j = 5 - 3. Suppose 3*o - s - 22 = 0, -4*o + 5*s + j = -o. What is the remainder when p(5) is divided by o?
7
Let a(s) = 11*s**2 - 2*s + 8. Let o be a(-5). Let f = o + -676. What is the remainder when 8/44 - f/11 is divided by 9?
8
Let j = -134 + 189. What is the remainder when j is divided by 49?
6
Let q = -30 - -61. Let t(o) = o**2 + 5. Let z be t(0). Let l(i) = -i**3 + 7*i**2 - 7*i + 1. What is the remainder when q is divided by l(z)?
15
What is the remainder when 7230/105 - (-2)/14 is divided by 10?
9
Let u(p) = -p + 38. Let v(a) = a + 9. What is the remainder when u(-12) is divided by v(9)?
14
Suppose -7*b + 4*r = -2*b - 58, 29 = b + 5*r. Calculate the remainder when 48 is divided by b.
6
Let f = 188 - 190. Let u = -33 + 54. Let q = u + f. What is the remainder when 73 is divided by q?
16
Let k = -2370 - -2433. Calculate the remainder when 1006 is divided by k.
61
Let l = -1430 + 1443. What is the remainder when 774 is divided by l?
7
Suppose 5*f - 4*j - 130 = 0, -3*f + 46 = -32*j + 36*j. Calculate the remainder when 30 is divided by f.
8
Let x be 0*(2*-2)/12 + 0. Suppose -6*g + g + 390 = x. Calculate the remainder when g is divided by 20.
18
Calculate the remainder when 3/(((-4)/66)/(2/(-9))) is divided by 3.
2
Suppose 0 = 3*j - 9, -4*j - 117 = -3*c - 0*j. Let t(z) = 2*z**3 - 2*z**2 - z + 19. Calculate the remainder when t(5) is divided by c.
42
Let v be 12 - 12/(-4)*-1. Let j be (-2