3
Let n = 16 + -5. Let z = -200 + 206. What is the remainder when n is divided by z?
5
Let n = 172 - 116. What is the remainder when n is divided by 35?
21
Let t = 19 - 37. Let s = -16 - t. Suppose -2*f - 2*q + 9 = -27, -3*f - s*q + 51 = 0. Calculate the remainder when 28 is divided by f.
13
Suppose 0 = 3*q + l - 78, -4*q - 5*l = q - 120. What is the remainder when 2/(-13) - 3436/(-26) is divided by q?
24
Suppose -85*v + 128 = -81*v. Calculate the remainder when 282 is divided by v.
26
Let w(u) = u**3 + 3*u**2 - 24*u - 2. Calculate the remainder when w(-6) is divided by 29.
5
Let q = -79 - -148. Suppose 5*a + 4*l - q = 0, 0*a = -3*a - 3*l + 39. Calculate the remainder when 118 is divided by a.
16
Let m(p) = -p**3 + p + 2. Let y(q) = -2*q**3 - q. Let j be y(1). Calculate the remainder when m(j) is divided by 15.
11
Let v = -1577 - -1817. What is the remainder when v is divided by 136?
104
Let f(u) = -4*u - 117. Let y(k) = -k - 39. Let r(w) = 4*f(w) - 11*y(w). Suppose 4 = -2*o + 68. What is the remainder when o is divided by r(-10)?
10
Suppose -109 = -5*w - 24. Suppose -18*y + w*y = -29. Calculate the remainder when y is divided by 8.
5
Let g be (-9459)/117 - (-2)/(-13). Suppose 6*j - 1 = 2*o + j, 6 = 5*o - 4*j. What is the remainder when (-2817)/g + o/9 is divided by 12?
11
Let n(k) be the first derivative of 2*k**3/3 - 2*k**2 + 4*k - 3. Calculate the remainder when n(7) is divided by ((-38)/4)/(5/(-10)).
17
What is the remainder when (-2)/(-5) + (-2 - (-696)/10) is divided by (2/4)/(9/6)*69?
22
Suppose t + 2*t = 4*x + 713, -2*t - 4*x = -442. Calculate the remainder when t is divided by 47.
43
Let x(n) = 2*n - 4*n - n**2 - 11*n**3 + 1 + n - 2. Let y(m) = -3*m + 4. Calculate the remainder when y(-11) is divided by x(-1).
7
Let a(q) = -10*q + 18. Let l(p) = -2*p - 4. Let b be l(-3). Suppose m - b*m = -5. Calculate the remainder when a(0) is divided by m.
3
Let g = -2 + -13. Let w(z) = z + 30. Let i(y) = -y**3 - 4*y**2 + 3*y - 6. Calculate the remainder when w(g) is divided by i(-5).
3
Suppose 8*w = 5*w + 6. Suppose -w*x - x = -63. Suppose 0 = 2*i - 4*t - 6, 3*i - x = -i + 5*t. Calculate the remainder when i is divided by 6.
3
Suppose -2*j = 3*m - 0*m - 52, -2*j = m - 48. Suppose -n = n - 4, -3*h - 4*n + 20 = 0. Suppose j = -h*c + 5*c. Calculate the remainder when c is divided by 6.
5
Let w(x) = -6*x - 128. Calculate the remainder when 24 is divided by w(-24).
8
Let c = -7 - -7. Suppose x - 11 - 4 = c. Suppose -5*l = -3*a + 10 + 7, 4 = -4*l. What is the remainder when x is divided by a?
3
Suppose -407*r = -412*r + 50. What is the remainder when r is divided by (-10)/(-25) - 18/(-5)?
2
Suppose -s - 3*z = 1 - 22, -5*s + 105 = 3*z. Suppose 0 = -k - 6 + s. Let b = 64 - 21. Calculate the remainder when b is divided by k.
13
Let t(i) = i**2 - 3*i - 5. Let k be t(5). Let q = 56 - 40. Suppose -k*r = -r - q. What is the remainder when 18 is divided by r?
2
Suppose -q + 29 = s, 2*q - 2*s - 73 = -7*s. What is the remainder when q is divided by (-1)/(-6) - (-606)/36?
7
Calculate the remainder when 224 is divided by ((-20)/(-15))/(2*(-9)/(-432)).
0
Suppose x = 4*q - 112, -6*x - 17 = -q - 3*x. What is the remainder when ((-33)/(-5) + -7)*-210 is divided by q?
26
Let t(z) = -6 + 1 + 6*z - 3. Suppose 2*f = -4*i + 4*f + 30, 4*i = 4*f + 32. Calculate the remainder when t(i) is divided by 9.
7
Let o = -191 + 204. Calculate the remainder when 36 is divided by o.
10
Suppose 5*d + 4*b = 65, -55 = 5*d - 5*b - 165. Calculate the remainder when d is divided by 154*-1*(-225)/3150.
6
Suppose 0 = -31*k + 17*k + 9478. Calculate the remainder when k is divided by 40.
37
Let o(c) be the first derivative of 1/3*c**3 - 4 - 1/2*c**2 + 4*c. Calculate the remainder when 45 is divided by o(5).
21
Let y(n) = 2*n**2 + 7*n - 8. Let w be y(-9). Suppose -147 = -5*z - 4*h, -3*h - 28 + w = 2*z. Calculate the remainder when z is divided by (-3)/9 + (-86)/(-6).
13
Let q(t) = t**3 - 6*t**2 + t + 6. Let g = 15 + -10. What is the remainder when q(6) is divided by g?
2
Let w(x) = -x**3 - 10*x**2 - 8*x - 11. Let t be w(-10). Suppose t + 6 = 5*k. What is the remainder when 2/3 + (-260)/(-6) is divided by k?
14
Suppose -q - 2*y - 6 = -3*q, 4*y = -2*q. Let k be -7*1 - (5 - q). Let v = k - -28. Calculate the remainder when 53 is divided by v.
17
Suppose 2*z = 35 + 123. Let w be (z + 2)*4/12. Suppose 7*b - w = 4*b. Calculate the remainder when 34 is divided by b.
7
Suppose 10*y - 13*y + 93 = 0. Let m(j) = j + 1. Calculate the remainder when y is divided by m(11).
7
Let f(k) = k**3 + 20*k**2 - 41*k + 78. What is the remainder when 26 is divided by f(-22)?
2
Let p(o) = o**2 - 2*o + 17. Suppose 4*u = 6*u. What is the remainder when 27 is divided by p(u)?
10
Let v(c) = 2*c**3 + 42*c**2 - 24*c - 3. Let k be v(-20). Suppose 5*n - 348 + k = 4*j, 2*j - 2*n - 464 = 0. What is the remainder when j is divided by 39?
36
Calculate the remainder when 659 + 0 + 11 + -6 is divided by 37.
35
Suppose 7*o = 6*o + 5. Suppose -5*u = -2*c + 9, 3*c + o*u = 3 - 2. Let r = c + 2. What is the remainder when 10 is divided by r?
2
Suppose i - 60 = -4*i. Suppose -4*y + i*y = 112. What is the remainder when 111 is divided by y?
13
Suppose 46 = -3*i + 235. Calculate the remainder when i is divided by (5 + (-4)/1)*16.
15
Calculate the remainder when (-2)/(-11) - (-2 + 119/(-11)) is divided by (-9)/2*(17 + -19).
4
Let r(w) = -2*w - 9. Let v be r(-6). Let s(k) = 2*k**3 - 3*k**2 + 3*k + 3. Suppose 0 = -2*n + 7 + 33. What is the remainder when s(v) is divided by n?
19
Suppose 0 = 3*a + a - 56. Calculate the remainder when a + -1 + 1 + 3 is divided by 9.
8
Suppose -3*l + 4*o - 179 = -6*l, 6*l = -o + 386. What is the remainder when l is divided by 10?
5
Let v(r) = r**2 + 6*r - 10. Let h be v(-7). Let k be (-1 + 5 + -3)*h. Calculate the remainder when 2 + (-46)/(6/k) is divided by 14.
11
Suppose -i = -4 + 2. Suppose -g - i = -18. What is the remainder when 31 is divided by g?
15
Let h(x) = 29*x**2 - 5. What is the remainder when h(3) is divided by 20?
16
Calculate the remainder when 88 is divided by 229/5 - (208/65)/4.
43
Suppose 543*b - 1566 = 485*b. What is the remainder when 238 is divided by b?
22
Suppose y + 241 = 4*z, -3*z + 11*y = 6*y - 168. Let m = -38 + z. Let n = 87 - -3. Calculate the remainder when n is divided by m.
21
Let c(q) = -34*q - 6. Calculate the remainder when c(-6) is divided by 25.
23
Suppose -2*z - 23 = -5*h, 2 = -3*h + h - 2*z. Suppose -l + 0*l = h*w + 4, w + 3 = 0. What is the remainder when 39 is divided by (3 - l) + (-69)/(-3)?
18
What is the remainder when 117 is divided by ((-180)/(-210))/((-12)/(-112))?
5
Let b(x) be the third derivative of 3*x**2 + 1/60*x**5 + 0 + 1/12*x**4 + 0*x + 2/3*x**3. What is the remainder when 14 is divided by b(0)?
2
Let r = -11 + 30. Suppose 32 + 23 = z. Calculate the remainder when z is divided by r.
17
Let k(x) = x - 8. Let z be k(5). Let w be (z - -4)*1 - -3. Suppose w*s + 208 = 4*v, -v - 2*v - 4*s = -156. What is the remainder when v is divided by 18?
16
Suppose 5*g - 206 = -w, 0 = 5*w + g - 0*g - 1102. Calculate the remainder when w is divided by 76.
69
Let c(y) = -3*y. Let q be c(-7). Suppose n = 4*n - q. Suppose 4*o = 2*g - 34, -n*g + 5*o = -2*g - 80. What is the remainder when g is divided by 4?
3
Let b(p) = -12*p**3 - 2*p**2 + 1. Let o be b(-1). Suppose 0 = -o*i + 15*i - 40. What is the remainder when 48 is divided by i?
8
Let j be (-18)/(-4) + 4/8. Let y be (-20)/((10/(-6))/j). Let d = y + -37. What is the remainder when d is divided by 6?
5
Let f(p) = 8*p**3 - p**2 + 3*p - 1. Suppose -7*j + 8 = 1. What is the remainder when 10 is divided by f(j)?
1
What is the remainder when 142/(-2)*(4 - 10/2) is divided by 19?
14
Suppose -20 = -5*b, 10 = -4*o + 4*b + 2. What is the remainder when 29 is divided by (-129)/(-21)*o + 8/(-28)?
5
Let k(v) = -v**2 + 5*v - 3. Let p be k(3). Suppose -g - z + 25 = 0, p*z - 4 - 94 = -4*g. Calculate the remainder when g is divided by 6.
5
Suppose 2*i = 3*q + 8, 4*i - 19 - 5 = 2*q. Let w(s) = 7*s - 8. Let g be ((-4 + 9)/(-1))/(1*-1). Calculate the remainder when w(g) is divided by i.
6
Let p(s) be the third derivative of s**4/24 + s**3/3 + 2*s**2. What is the remainder when 188/14 - 104/(-182) is divided by p(6)?
6
Let n(u) = u**3 - 16*u**2 + 