late the remainder when 77 is divided by a.
17
Suppose -3*g = 3*w - 168, -g - 200 = -4*w + g. What is the remainder when w is divided by 18?
16
Suppose 1 = 4*y - 7. Let h = 2 + -2. Suppose 2 = -2*a + w - h*w, -9 = 3*a - 3*w. Calculate the remainder when y is divided by a.
0
Suppose 5*a = 5*j - 95 - 10, 0 = -a - 5*j - 3. Let x = -13 - a. Let o(b) = 4*b. What is the remainder when o(x) is divided by 11?
9
Let a = 79 + -47. What is the remainder when 60 is divided by a?
28
Suppose -g - c = 2*g + 22, 3*g - 2 = 5*c. Let a = g + 8. Suppose -4*q + 88 = 4*k, -k + 3*q + 42 = a*k. Calculate the remainder when 51 is divided by k.
15
Suppose 4*k - 153 = -33. Let l = -1 + 9. Calculate the remainder when k is divided by l.
6
Let g = 7 - 0. What is the remainder when 18 is divided by g?
4
Let k = 5 - 3. Calculate the remainder when 2 is divided by k.
0
Suppose 40 = 4*p + 5*m, 3*p - 9 = 2*m - 2. Suppose 4*v + 2*t = t - 9, 0 = -p*v - 5*t. What is the remainder when ((-26)/(-3))/((-1)/v) is divided by 14?
12
Suppose -4*g = -3*q - q - 200, -12 = 4*q. Calculate the remainder when g is divided by 12.
11
Let w(c) = -c**3 + 11*c**2 - 6*c - 6. Let o be w(11). Let m = -23 - o. What is the remainder when m is divided by 10?
9
Let w(f) be the second derivative of -5*f**3/6 - 4*f**2 + f. Calculate the remainder when w(-10) is divided by 15.
12
Suppose 0 = -4*k + 4*m + 32, 4*k + 2*m = 2*k + 36. What is the remainder when k/2*(0 + 2) is divided by 4?
1
Suppose -m - 9 = -d, 2*d = 5*m - 2*m + 23. Calculate the remainder when 5 is divided by d.
1
What is the remainder when 3 - (64/2)/(-1) is divided by 9?
8
Let j(o) = o**2 + 16*o - 11. Suppose 0 = 7*g - 2*g - 120. What is the remainder when j(-19) is divided by g?
22
Calculate the remainder when 2718/36 - (-3)/(-2) is divided by 25.
24
Suppose 10*v - 129 = -9. Calculate the remainder when 46 is divided by v.
10
Suppose -4*t - 4*a = -180, t = 2*t - 4*a - 25. Let o = t - 11. Suppose -3*l + 77 - 29 = 0. What is the remainder when o is divided by l?
14
Suppose 5*x + 6 = 16. Let o(a) = a**2 + a + 2. Let f be o(0). Suppose b + f = x*b. What is the remainder when 4 is divided by b?
0
Suppose -3*x + f - 32 = -5*x, -5*x = -4*f - 54. Suppose 4*u - 5*t - 232 = 0, 2*u + 3*t - 98 = t. Calculate the remainder when u is divided by x.
11
Let l(i) = -6*i - 22. Let a(o) = -2*o**2 + 6*o + 7. Let g be a(5). What is the remainder when l(g) is divided by 15?
11
Suppose -k = -4*b + 81, 68 = 5*b - 2*k - 37. Calculate the remainder when 34 is divided by b.
15
Let k = 67 + -59. Let b(v) = v**2 + v - 5. Calculate the remainder when b(-5) is divided by k.
7
Let c(r) = 2*r**2 + 8*r + 6. Let p be c(-7). Let v be p/9 - 4/(-6). Calculate the remainder when 10 is divided by 0*(-2)/v + 6.
4
Let r(w) = -6*w + 1. Suppose 165 = 14*g - 11*g. Calculate the remainder when g is divided by r(-3).
17
Suppose 0 = -a + 100 + 16. Suppose 8*w - 4*w = a. What is the remainder when w is divided by (-82)/(-5) + (-2)/5?
13
Suppose 0 = 5*r + r - 42. Calculate the remainder when 32 is divided by r.
4
Suppose 4*k - 2*l + 53 = -5*l, 4*k = 3*l - 83. Let z = k + 29. Calculate the remainder when 25 is divided by 1*(z - (-1 + 0)).
12
Suppose 58*h = 57*h + 13. Calculate the remainder when h is divided by 4.
1
Suppose -3*h - 58 = -i, 3*h = h + 10. Calculate the remainder when i is divided by 37.
36
Let g = 232 + -109. Calculate the remainder when g is divided by 25.
23
Suppose 4*t + 72 = 4*o, o + 5*t - 3 = t. What is the remainder when 28 is divided by o?
13
Suppose -5*h + 294 = -121. Calculate the remainder when h is divided by 17.
15
Let z(c) = -28*c**3 + c**2 + 2*c + 1. Let a be z(-1). Let i = -17 + a. Suppose -2*t - t = -60. What is the remainder when t is divided by i?
9
Let v = -135 - -146. Calculate the remainder when v is divided by 4.
3
Suppose -5*d + 10*d - q - 30 = 0, 0 = -5*d - 4*q + 55. Suppose 0 = 2*v - 0*v + 3*u - 55, -105 = -4*v - u. Calculate the remainder when v is divided by d.
5
Let r = -24 + 78. Calculate the remainder when r is divided by 28.
26
What is the remainder when 1 is divided by 10/8 - 11/44?
0
Let d be ((-1)/3)/(4/(-24)). Calculate the remainder when 20 is divided by 11/((d - 2) + 1).
9
Suppose 5*b = -7 - 8. What is the remainder when 3/(b - (-62)/20) is divided by 8?
6
Let k = -107 - -114. Calculate the remainder when 18 is divided by k.
4
Suppose 0 = -2*i - 3*i. Suppose 0 = -i*h + 5*h - 15. Calculate the remainder when h is divided by 2.
1
Suppose 0 = -7*s + 232 - 8. Calculate the remainder when s is divided by 7.
4
Calculate the remainder when (3144/54 - -4) + 4/(-18) is divided by 17.
11
Suppose 6*i - 14 = 5*i. Calculate the remainder when 54 is divided by i.
12
Let u(z) = z**2 - 5*z + 3. Let w be u(4). Calculate the remainder when 45 is divided by w + -2 - -14 - -1.
9
Let y = -76 + 46. Let a = 44 + y. Calculate the remainder when a is divided by 8.
6
Let u(w) = -w**2 - 7*w + 1. Let p(g) = g + 9. Let f be p(-7). Suppose f*l - 8 + 0 = 0. Calculate the remainder when u(-3) is divided by l.
1
Let r(c) = c**3 - 9*c**2 + 3*c + 1. Let s = 1 - -8. Calculate the remainder when r(s) is divided by 1/(-3) - 31/(-3).
8
Suppose -5*t + 2*t - 4*m + 50 = 0, 0 = -2*t + 5*m + 64. Calculate the remainder when t is divided by 8.
6
Suppose 410 = -13*q + 1151. Calculate the remainder when q is divided by 32.
25
Suppose 2*c + 113 = 3*c + 2*u, 3*c + 3*u - 345 = 0. What is the remainder when c is divided by 30?
27
Suppose 2*o = -3*o - 5. Let u(g) = 21*g - 7. Let r(f) = 32*f - 11. Let t(s) = 5*r(s) - 8*u(s). What is the remainder when 25 is divided by t(o)?
7
Suppose -40 + 10 = -5*x. Suppose 0 = -x*k + 2*k + 24. Calculate the remainder when 8 is divided by k.
2
Suppose 3*q + 0*b = 4*b + 227, 4*q = -5*b + 344. Calculate the remainder when q is divided by 42.
39
Suppose 3*g = g + 20. What is the remainder when 1/2*19*2 is divided by g?
9
Suppose 271 = 5*a - 4*f - 823, -f = -4*a + 884. What is the remainder when a is divided by 15?
12
Suppose 0 = -r + 15. Let y(o) be the first derivative of -o**4/4 + 5*o**3/3 + 2*o**2 - 3*o - 2. Calculate the remainder when y(4) is divided by r.
14
Let o(n) = -5*n**3 + 44*n**2 + 25*n - 69. Let y(h) = -h**3 + 11*h**2 + 6*h - 17. Let d(i) = 2*o(i) - 9*y(i). What is the remainder when d(-11) is divided by 15?
14
Suppose -2*g + 32 = 5*y, -5*g + 4*y + 1 + 13 = 0. What is the remainder when 15 is divided by g?
3
Let v = 111 + -76. Suppose -3*c - 2*c - v = 0. Let l(y) = -4*y - 5. What is the remainder when l(c) is divided by 13?
10
Let r = 218 + -188. Calculate the remainder when r is divided by 8.
6
Let s = 74 - 59. What is the remainder when 42 is divided by s?
12
Let i(v) = 22*v**2 - 5*v + 4. What is the remainder when i(1) is divided by 12?
9
Let f(a) = 13*a**2 + a. Let y = -2 + 10. What is the remainder when f(1) is divided by y?
6
Let h = 6 - 4. Let m = 5 - 3. Calculate the remainder when 3 + 12/h + -2 is divided by m.
1
Let a(l) be the first derivative of -l**4/4 + 5*l**3/3 + l**2/2 + 2*l + 3. What is the remainder when 11 is divided by a(5)?
4
Suppose -y = -0*y + 3. Let k be 2*(y + 2 + 2). Suppose r = 3*u + 10, -r + u - k + 12 = 0. What is the remainder when r is divided by 6?
4
Let i(o) be the first derivative of 13*o**2/2 - 20*o - 1. Let c(p) = 32*p - 50. Let l(t) = -5*c(t) + 12*i(t). What is the remainder when l(-7) is divided by 13?
12
Let v = 1 + 2. Calculate the remainder when 3 is divided by v.
0
Let d(t) = t**3 - 11*t**2 + 6*t - 1. Let l be d(4). Let f = -54 - l. Calculate the remainder when f is divided by 12.
11
Let k be (-8)/3*18/6. Let t(b) = b + 18. What is the remainder when t(k) is divided by 6?
4
Let i(w) = -93*w - 2. Let o be i(-2). What is the remainder when o/8*(1 + 1) is divided by 16?
14
Let o(j) = -2*j - 2. Let q(d) = -4*d - 2. Let h(u) = -u. Let p(x) = -3*h(x) + q(x). Let m be p(0). What is the remainder when o(m) is divided by 2?
0
Let p = 4 - -8. Suppose 0 = 5*d - d - 16. Suppose -n + d*m = 3, 0*m = -4*n + m + 18. Calculate the remainder when p is divided by n.
2
Suppose -6*s - 53 + 137 = 0. What is the remainder when 25 is divided by s?
11
Let k(p) = -p**3 - 8*p**2 - p - 11. Let j = 11 + -19. Let x be k(j). Calculate the remainder when 20 is divided by (-33)/x*-1*-1.
9
Suppose -3*r + r - x = -9, -2*x - 18 = -2*r. 