w.
5
Let o be (-5 + 47)/((-4)/(-42)). Calculate the remainder when 45 is divided by o/36 + 2/(-8).
9
Let j(q) = q + 32. Let s(i) = -8 - 27*i + 45*i + i**2 - 25*i. Let t be s(8). Calculate the remainder when j(t) is divided by 18.
14
Let v = 6 + 10. Let x be 1480/8 + 3 + 0. Suppose 2*z - 4*z = -4*t + x, 5*t = 2*z + 233. What is the remainder when t is divided by v?
13
Let b(q) = -33*q + 7. Let k be b(-1). Suppose 2*z - 4*v = 40, -z - 2*v = -4*z + k. What is the remainder when 28 is divided by z?
8
Let d = -31 + 31. Suppose -6*k + 11 + 109 = d. Calculate the remainder when 56 is divided by k.
16
Suppose -50*b + 2790 = -660. What is the remainder when 77 is divided by b?
8
Let t(o) = 3*o**3 - 3*o**2 + 2*o - 9. Calculate the remainder when t(3) is divided by 29.
22
Suppose 2 = -0*c - 5*c + 4*q, -4*c = -2*q + 4. Suppose -l - 6*g = -10*g + 2, 0 = -5*l - 4*g + 62. What is the remainder when l is divided by (0 - 1)/(c/6)?
1
Let t(b) = 7*b - 4*b + 6 + 1 - 2*b. Calculate the remainder when 34 is divided by t(-3).
2
Suppose 143 = 5*a - 4*q, -36 = -a + 4*q - 1. Let x = -21 + 21. Suppose 7 = u - x. Calculate the remainder when a is divided by u.
6
Let q(c) = c**2 + 7*c + 1. Let t(b) = b**3 + 4*b**2. Let o be t(-4). Suppose -2*k + 10 = -o. Calculate the remainder when q(k) is divided by 16.
13
Let r(d) = d**3 + 4*d**2 - 4*d + 7. Let s be r(-5). What is the remainder when (s/3)/(20/1830) is divided by 21?
19
Let v be 9/6*8/6. Suppose 58 = 4*n + m - 3, -n + 24 = v*m. Calculate the remainder when 52 is divided by n.
10
Suppose -r + 0*r = 3*f - 4, 4*f = 5*r + 18. Calculate the remainder when (r - 60/16)*24/(-6) is divided by 12.
11
Let b be (6 - 2) + -2 + 1. Suppose -b*u + 140 = -55. What is the remainder when u is divided by 17?
14
Suppose 2*k - d = -5, -4*k - 2*d + d + 5 = 0. Let x(v) = v**3 + v**2 + v + 17. Calculate the remainder when 32 is divided by x(k).
15
What is the remainder when 291 is divided by 9/(-11 + (-880)/(-77))?
18
Let r(b) = 4*b - 3. Let o be r(3). Suppose -24 = -6*p + o*p. Let m = p - -22. What is the remainder when 26 is divided by m?
12
Suppose 2*c - 9*c = -2163. Suppose r - 54 = 3*m + 38, 3*r + 2*m - c = 0. Calculate the remainder when r is divided by 15.
11
Suppose 2*t + 120 - 316 = 0. What is the remainder when t is divided by 9?
8
Let d be 17/51 - (-2)/(-6). Suppose d = 3*o - t + 2*t - 31, 3*t - 3 = 0. Suppose -2*w + 0*w = -52. Calculate the remainder when w is divided by o.
6
Let f(u) be the first derivative of -u**4/4 + 2*u**3 - 3*u**2/2 - 5*u - 2. Let x(g) = -33*g**2 + 210*g - 13. What is the remainder when x(6) is divided by f(4)?
14
Let o(z) = z**3 + 2*z**2 - z - 2. Let p be o(-2). Suppose p*v = -3*v + 171. Calculate the remainder when v is divided by 15.
12
Let r = -75 - -143. Let h = 58 - 35. Calculate the remainder when r is divided by h.
22
Suppose -8 = -2*s - 5*k - 3, 4*s + 4*k = -8. Let o = 0 + s. Calculate the remainder when 46 is divided by (-3 + (-17)/o)*40.
14
Let y(x) = x**3 + 6*x**2 - 5*x - 6. Suppose 5*u = -c + 36, 4*u - 5*c = -u + 30. What is the remainder when y(-6) is divided by u?
3
Suppose 0 = 79*u - 63*u - 240. What is the remainder when ((-6)/4)/(6/(-112)) is divided by u?
13
Let o be (0 + -1 - -1)/(-2 + 3). What is the remainder when ((-108)/21)/(4/(-42) - o) is divided by 11?
10
Suppose -66 = 4*s - 7*s. Suppose -791*f + 186 = -760*f. What is the remainder when s is divided by f?
4
Suppose 2958 = 37*o - 3*o. Calculate the remainder when o is divided by 9.
6
Suppose -6*y - 145 = -y. Let a = y + 33. What is the remainder when 20 is divided by a?
0
Let b(l) = -l**3 - 7*l**2 - 5*l + 10. Let f be b(-6). Suppose -8*z + f*z + 280 = 0. Calculate the remainder when z is divided by 18.
16
Let d = -1991 - -2138. Calculate the remainder when d is divided by 10.
7
Suppose -86 = 5*h - 9*h + 3*x, -x = -3*h + 67. What is the remainder when 321 is divided by h?
22
Let z(i) = 2*i + 3. Let s(u) = -3*u - 6. Let r(b) = 6*s(b) + 13*z(b). What is the remainder when r(3) is divided by 17 - (2 - -1 - 0)?
13
Let k(v) = 3*v + 2. Let g be k(1). Suppose -4*y - g + 197 = 0. Calculate the remainder when y is divided by 10.
8
Let d = -126 + 134. Suppose 3*x - 42 = 5*y - d*y, -3*x + 2*y + 42 = 0. What is the remainder when x is divided by 6?
2
Let r be 2 + -2 + 1 - (2 - 1). Suppose r = -5*k + 3*q + 54, 5*k - 6*q - 60 = -q. Calculate the remainder when 60 is divided by k.
6
Suppose 27 + 23 = 4*x + 2*w, 0 = -2*x - 4*w + 28. Calculate the remainder when (-1)/((-6)/87)*4 is divided by x.
10
Let t(i) = i**2 + i + 6. Let s be t(-8). Let a = s + -43. Let o = 119 - 114. Calculate the remainder when a is divided by o.
4
Let n be (-2)/7 + (-2505)/(-21). Let r = 101 + -170. Let q = r + n. Calculate the remainder when q is divided by 17.
16
Let g(s) = -7*s**3 - 2*s**2 + 5*s - 1. Let u(p) = 5*p**3 + 3*p**2 - 4*p. Let r(o) = 3*g(o) + 4*u(o). What is the remainder when 14 is divided by r(2)?
3
Let i(s) = -2*s**2 + 6*s + 18. Let l be i(5). Calculate the remainder when ((-1470)/(-18))/(l/(-6)) is divided by 31.
28
Let x = -2 - -4. Suppose -4*d + 8 = -5*r, -88*d + 91*d - r = 17. What is the remainder when d is divided by x?
1
Let f = -184 - -191. What is the remainder when 76 is divided by f?
6
Let p(o) = -o - 11. Let n be p(-11). Suppose q - 11 - 3 = n. Let f = q + -11. Calculate the remainder when 16 is divided by f.
1
Suppose -5*p - 28 + 13 = -f, -4*p - 4 = 0. What is the remainder when 258 is divided by f?
8
Let g(o) = -o**2 - 3*o + 10. Let c be g(-9). Let f = 99 + c. Suppose 3*w = -4*t + 61, -2*t = -4*w + 2*t + 72. Calculate the remainder when f is divided by w.
17
Let a(v) = -3*v - 10 + 2*v - 2*v - 4. Suppose -8*d - 17 = 31. What is the remainder when 9 is divided by a(d)?
1
What is the remainder when 20 is divided by ((-25)/(-4))/(155/372)?
5
Suppose 4*v - v - 159 = 0. Let t(i) be the third derivative of -i**4/24 + 3*i**3/2 + 8*i**2. What is the remainder when v is divided by t(-5)?
11
Suppose -3 = -3*q, -12 + 116 = 2*d - 2*q. Suppose -46 = -4*o + 14. What is the remainder when d is divided by o?
8
Suppose -u = -2*k + 16, 6*k - 32 = 2*k + u. Let a be ((-18)/4 + -4)*-2 - 1. Let t = a - 3. What is the remainder when t is divided by k?
5
Let y = 11 + -7. Calculate the remainder when 45 is divided by (y + 66/(-8))/(2/(-8)).
11
Let a(i) = 3*i**2 + 7*i + 3. Let t be a(-5). Suppose -5*v + 135 = 5*n, -2*n + t = v - 8. What is the remainder when 69 is divided by n?
21
Let k = 173 + -107. Suppose -20 = -14*r + 176. Calculate the remainder when k is divided by r.
10
Let x(w) = 10*w**2 - 3*w. Let k be x(-4). Suppose -4*i = 5*y - k, 4*i - 104 = -3*y + 2*i. What is the remainder when y is divided by 13?
10
Suppose 4*n - 4 = 0, 0*x = 2*x - 5*n + 17. What is the remainder when (-594)/(-36)*(-8)/x is divided by 12?
10
Let y = 31 + 2. Let f = -29 + y. Calculate the remainder when 10 is divided by f.
2
Suppose 4*u + 34 = 86. Let w(d) = d + 6. Let f be w(-7). Calculate the remainder when u is divided by 4*12/16 + (0 - f).
1
Let f(d) = -37*d - 4. Let b be (-7)/5 + 30/(-50). Calculate the remainder when f(b) is divided by 18.
16
Suppose -4*h - 14 = -r, 4*h + 21 = 3*r - 13. Let n be 4/20 - (-248)/10. Suppose 5*k - n = 70. Calculate the remainder when k is divided by r.
9
Suppose i = 27 - 7. Calculate the remainder when 198 is divided by i.
18
Let q(w) = 2*w**2 + 6*w - 9. Suppose 5*a = 4*a + 3*k - 19, 5*a + k = -175. Let g = a - -27. Calculate the remainder when q(g) is divided by 12.
11
Let h be (-1 - -1)/((-13)/13). Suppose -2*m + 23 - 5 = h. What is the remainder when 43 is divided by m?
7
Let t be (-16)/(-88) + 438/11. Suppose 3*h - 2*n = 64, -2*h = -0*h - 2*n - t. Calculate the remainder when 87 is divided by h - (0 - -4 - 2).
21
Let y(i) = 3*i - 1. Let u be (-10)/4*28/35. Let b be ((-10)/(-10))/(u/(-6)). Calculate the remainder when 15 is divided by y(b).
7
Suppose 51*r = -22*r + 2701. What is the remainder when 287 is divided by r?
28
Calculate the remainder when (-1 + 585/18)*6 is divided by 98.
91
Let q = 755 + -742. Calculate the remainder when 16 is divided by q.
3
Suppose 2*f = 4*v - 28, -3*f - v = 4*v - 2. What is the remainder when (f/8)/(12/(-48)) + 20 is divided by 6?
5
Let j = -132 + 135. Calculate the remainder when 73 is divided by j.
1
Let d(l) = 13*