 is the remainder when q/75 + 538/10 is divided by 8?
6
Suppose 4*o + o - 5 = 4*r, -2*r + 25 = 3*o. Suppose -r*h + 10 = 0, -3*v + 34 + 162 = -h. Let l = 122 - v. Calculate the remainder when l is divided by 20.
16
Suppose 4*n - 5*j - 30 - 145 = 0, -2*n - j = -105. What is the remainder when 291 is divided by n?
41
Let v = 71 - 25. Let q = 5840 + -5833. What is the remainder when v is divided by q?
4
Let y = 26 + -14. Suppose -4*a = -3*g + 400, 5*a - 132 + 5 = -g. Suppose 22*h - 18*h - g = 0. Calculate the remainder when h is divided by y.
9
Suppose s + 5*c = 15, 5*s - 23 = 2*c - c. Let v = -1 + -11. Let x = v - -16. Calculate the remainder when s is divided by x.
1
Suppose -y + 2*p = -44, 0*p + 180 = 4*y - 4*p. Suppose -2*r + r = -y. Let k = 21 - -3. What is the remainder when r is divided by k?
22
Let p = -940 - -1097. Calculate the remainder when p is divided by 20.
17
Let f(u) = 35*u**2 + u - 1. Let k = -1753 + 1771. What is the remainder when f(1) is divided by k?
17
Let t be (-2 - (-15)/6)/((-6)/2412). Let d = -118 - t. Calculate the remainder when d is divided by 22.
17
Let f(k) = -9*k - 3. Suppose -5*i + 104 + 241 = 0. Calculate the remainder when i is divided by f(-3).
21
Suppose 3*x + 4*x = -84. Let m = 27 + x. What is the remainder when m is divided by 6?
3
Let j(z) = 26*z - 519. Suppose q + 1 - 7 = 0. Suppose 1 = q*h - 5*h. What is the remainder when j(20) is divided by h?
0
Let s = 5 - -9. Calculate the remainder when 27 is divided by s.
13
Suppose -3*f + 5*o + 182 = 0, -4*f + 225 + 12 = -o. What is the remainder when 303 is divided by f - 1/(-4)*-4 - -3?
59
Let j be 0 + 4 - (2 - (-2 + 2)). Suppose -4*c + j + 2 = -y, 3*c = 2*y - 12. Calculate the remainder when 59 is divided by y.
11
Let i(y) = y + 11. Let k(n) = n**3 + 3*n**2 - 6*n - 11. What is the remainder when k(5) is divided by i(9)?
19
Let t = -16 + 18. Let o be 1 + (t - 2) + -17. Calculate the remainder when 11 is divided by (18/8)/((-6)/o).
5
Suppose -6*g + 9*g = 102. Calculate the remainder when 163 is divided by g.
27
Suppose -2*d + a + 1438 = 0, 3*d - 4*d - 5*a = -708. What is the remainder when d is divided by 45?
43
Calculate the remainder when 357 is divided by 6356/84 - (-2)/(-3).
57
Suppose 3*z - z = 64. Suppose 3*f = -4*m + z, -3*m + 5*f + 3 = 2*f. Calculate the remainder when (10 - 0)*(-4 + m) is divided by 4.
2
Let l = -4280 - -4298. Suppose 3*i - 3 = 0, 2*q - 3 = 3*q - 4*i. What is the remainder when q/1*(0 + 71) is divided by l?
17
Suppose -3*w + 4*n + 67 = 0, -5*w + 48 = n - 79. Suppose 5*c + 163 = 4*m, 2*c + 3*c = w. Calculate the remainder when m is divided by 17.
13
Let f(u) = u**3 + 2*u**2 - u + 39. Calculate the remainder when f(0) is divided by 6.
3
Suppose 15*r - 48 + 3 = 0. Suppose -60 = -8*h + r*h. What is the remainder when 33 is divided by h?
9
Suppose -4*y = 17*a - 14*a - 215, 266 = 5*y + a. What is the remainder when 211 is divided by y?
52
Let s be (5 + -4)/(2/4). Suppose -60 = -z - s*z. Let y(x) = -2*x + 1. What is the remainder when z is divided by y(-5)?
9
Calculate the remainder when ((-272)/408)/(1*1/(-69)) is divided by 7.
4
Let p be (-20)/5*10/(-8). Suppose -d = 5*a - 4*d - 189, -p*d = -5*a + 195. Suppose -3*o = -6*o + a. Calculate the remainder when 34 is divided by o.
10
Let l(s) = s**3 - 3*s**2 - 3*s - 20. Let d be l(6). Calculate the remainder when ((-9)/(-21))/(4/d)*12 is divided by 1*((1 - -21) + 1).
21
Let k be (-6)/15 - (-128)/20. Suppose 828 - 156 = k*v. What is the remainder when v is divided by 23?
20
Let h(r) = -r**3 + 17*r**2 - 43*r + 4. Calculate the remainder when 61 is divided by h(4).
21
Let g be ((-14)/(-2))/(13/52). Suppose 13 - g = -3*m. Calculate the remainder when 16 is divided by m.
1
Let y(d) = -d**2 - 3*d + 3. Let j(b) = b**2 - 5*b + 2. Let o be j(3). Let a be y(o). Let r = a + 42. Calculate the remainder when r is divided by 22.
19
Let x(m) be the third derivative of -m**5/60 - 3*m**4/4 + 5*m**3/6 + 4*m**2. What is the remainder when 8 is divided by x(-18)?
3
Let u(s) = s**2 + 11*s + 3. Suppose -3*r = -r + 8, 3*r + 8 = 4*q. What is the remainder when u(-11) is divided by 4 + q + -1 + -1?
0
Let o(c) be the first derivative of c**3/3 - 3*c**2 - 12*c + 17. What is the remainder when 9 is divided by o(8)?
1
Let d(m) be the third derivative of m**6/60 + 3*m**5/20 - 5*m**4/24 + 2*m**3 + 49*m**2. What is the remainder when 17 is divided by d(-5)?
5
Let h(v) = 2*v**2 - 7*v - 17. Let z be h(9). Suppose -g - 4 = -z. What is the remainder when g is divided by 17?
10
Suppose 5*m - 119 = -3*s, 2*m - 6*s - 60 = -s. What is the remainder when 192 is divided by m?
17
Let i = -7 + 3. Calculate the remainder when 106/5 + i/20 is divided by 12.
9
Let f(o) = 3*o + 7. Let a be f(-3). Calculate the remainder when (-6 - -10) + (-14)/a is divided by 4.
3
Suppose -215*f + 416 = -211*f. What is the remainder when f is divided by 45?
14
Suppose -23 + 39 = 8*g. Suppose 4*u = g*u + 82. What is the remainder when 90 is divided by u?
8
Let d(a) = -7*a - 72. Let f = 44 - 20. What is the remainder when d(-17) is divided by f?
23
Suppose -12*k + 8*k - 20 = 0. Calculate the remainder when -1 - -34*(k + 7) is divided by 19.
10
Let o be 6/(-5)*(-80)/6. Let b = -4 + o. Calculate the remainder when 23 is divided by b.
11
Let t(k) = -k**2 + 9*k - 5. Suppose -38*s + 598 = -25*s. What is the remainder when s is divided by t(6)?
7
Suppose -r = -3*r - 5*a + 4, -2*a = 0. Let d(x) = 4*x + 1. Let i be d(1). Suppose 0 = 3*n + i*y - 11, -y - 1 = 1. What is the remainder when n is divided by r?
1
Calculate the remainder when 408 is divided by (36/(-24))/(6/(-328)).
80
Suppose -1 = 5*a + 9. Let q(n) = -13*n - 10. Calculate the remainder when 60 is divided by q(a).
12
Let v = -928 + 1199. What is the remainder when v is divided by 3?
1
Let x(t) = t**2 + t + 22. What is the remainder when x(3) is divided by (0 + -18)/((-3)/2)?
10
Let a(s) be the first derivative of -s**4/4 + 7*s**3/3 + s**2/2 + 3*s - 3. Suppose 6 = c - 9. What is the remainder when a(5) is divided by c?
13
Suppose 5*h - 2*h + s = 17, -2*s - 2 = -3*h. Suppose -21 = h*o - 73. Calculate the remainder when o is divided by ((-6)/27)/1 + (-94)/(-18).
3
Let v = -939 + 983. Suppose 0 = 2*l + 10, 2*i - l - 17 = -4*l. What is the remainder when v is divided by i?
12
Let b = 236 + -168. Suppose -s + b = s. Calculate the remainder when s is divided by 12.
10
Let h = 102 - 71. Suppose -5*z - 4*d = -82, 0 = 6*z - 3*z - 3*d - 60. Suppose 5*l - 73 = -z. Calculate the remainder when h is divided by l.
9
Let k = 19 + -41. Let u = k - -26. What is the remainder when u is divided by 3?
1
Let w be 4 + 72/(-32) - 2/(-8). Suppose 4*l = w*z - 68, l = 2*z - l - 74. Calculate the remainder when z is divided by 14.
12
Suppose 0*r - 8 = -2*r. Let l(c) = -c + 16. Suppose 14 = 2*z - t, z - 2*t - 14 = -5*t. Calculate the remainder when l(z) is divided by r.
0
Suppose 0 = -y - 4*y + 635. Let p = -72 + y. What is the remainder when p is divided by 29?
26
Suppose -19 = -r + 40. Let i = r + -25. Calculate the remainder when i is divided by 18.
16
Suppose 2*q = c + 3, -c + 25 = 5*q - 0*q. Let p = -48 + 70. Suppose -b = -4*b + 2*w - 2, -5*b - 3*w = -p. Calculate the remainder when q is divided by b.
0
Let y = -21 + 30. Let w(b) = 2*b**2 + 12*b + 3. Calculate the remainder when w(-8) is divided by y.
8
Suppose 130 = 15*r - 10*r. What is the remainder when 44 is divided by (-19)/(-1) + 1 - (r - 26)?
4
Let u = 964 + -957. Calculate the remainder when u is divided by (-14)/(-8) + (-2)/(-8).
1
Suppose 3*v + 4*n - 15 + 0 = 0, 24 = v - 5*n. Suppose 5*m + v = 224. What is the remainder when m is divided by 12?
7
Suppose -20*t + 17*t = -30. What is the remainder when (-1)/(4/t)*(-214)/5 is divided by 16?
11
Let i(f) = -f**2 + 9*f + 7. Suppose -28 = -c - 10. Suppose 34 = 4*z + c. Calculate the remainder when i(8) is divided by z.
3
Suppose 0*u - 3*u - 6 = 0, 5*u + 64 = -3*d. Let g(t) = -t + 5. What is the remainder when g(4) is divided by (-12)/d - (-3)/9?
0
Suppose -4*h = -0 - 16. Suppose 70*x = 79*x - 36. Suppose -x*n - h*i = -100, -4*n + i + 4*i + 100 = 0. What is the remainder when n is divided by 7?
4
Let p = -275 - -442. Suppose -2*z + z = 2*m - p, 0 = 4*z - 20. Calculate the remainder when m is divided by 14.
11
Let i = 1214 - 607. 