, 2*x - n*d = -d + 7. Calculate the remainder when 34 is divided by x.
4
Let f = 527 - 367. Calculate the remainder when f is divided by 34.
24
Suppose 0 = -w - 5, 4*n - 2*w - 64 = -6*w. Let t(p) = p**3 - 12*p**2 + 10*p + 13. Let y be t(11). Let m = n - y. What is the remainder when m is divided by 7?
5
Let m(n) be the third derivative of n**6/120 - n**5/10 - n**4/4 - n**3/2 + 3*n**2. What is the remainder when 17 is divided by m(7)?
1
Suppose 5*t + 5*a = 37 - 12, -3*t = -2*a. What is the remainder when (57 + 4/t)/(0 + 1) is divided by 17?
8
Let g(k) = k**3 + 6*k**2 - 2*k - 9. Let t be g(-6). Suppose -4*z - 37 = -5*z - t*o, o + 37 = z. What is the remainder when 110 is divided by z?
36
Suppose -52*p + 104 = -3484. What is the remainder when p is divided by 48?
21
Suppose -4*q + 3*l = -31, -7*l + 25 = q - 2*l. Suppose 2*d = -2*r + 124, 6*d - 195 = r + 142. Calculate the remainder when d is divided by q.
7
Suppose -5*y = -7*y - 104. Let b = y + 74. Let i = b + -12. What is the remainder when 18 is divided by i?
8
Let z(a) = 2*a**2 - 60*a + 4. Let w be z(30). Suppose -w*c + 17*c = 507. Let s(k) = k**3 - k**2 - k - 4. Calculate the remainder when c is divided by s(3).
6
Let c be 2/(-3) + 11/3. Suppose 21 = -79*i + 82*i. Calculate the remainder when i is divided by (c - 5)/((-2)/4).
3
Suppose 2*y + 3*x - 272 = -77, -3*y + x + 276 = 0. Calculate the remainder when y is divided by 38.
17
Let o be (-30)/(-9) + (-4)/(-6). Suppose o*n + 5 = 13. Suppose h + 3*p - n = p, -h + 3*p + 27 = 0. What is the remainder when 35 is divided by h?
11
Suppose 4*b = 3*b + 156. Suppose -b = p - 4*p. Let g = -35 + p. What is the remainder when g is divided by 9?
8
Let c = -2207 - -2442. What is the remainder when c is divided by 4?
3
Let k(t) = -t**3 - 5*t**2 + 3*t + 16. What is the remainder when 576 is divided by k(-6)?
32
Let z(n) = -139*n - 402. What is the remainder when 45 is divided by z(-3)?
0
Let a be (12/27)/(-2) - 42/54. Calculate the remainder when 19 is divided by 4 + a - 1/((-4)/16).
5
Suppose 82*m = -5*x + 84*m + 250, 2*m - 114 = -2*x. Suppose 6*i = 2*i + 112. What is the remainder when x is divided by i?
24
Suppose -2*t + 4*t = 12. What is the remainder when 2 + 8/6*t is divided by (-2)/4*(-1 - 5)?
1
Suppose -72*z + 650 = -47*z. What is the remainder when 62 is divided by z?
10
Let s = 85 + -124. Let g = s + 50. What is the remainder when g/55 - (-178)/10 is divided by 7?
4
Let n = 17 + 23. Calculate the remainder when 190 is divided by n.
30
Let c(x) = -4*x + 92. Calculate the remainder when 215 is divided by c(20).
11
Suppose 7*v - 12*v + 160 = 0. Let a = -18 + v. Suppose -29 - 11 = -5*y. What is the remainder when a is divided by y?
6
Let o(p) = -p**3 + 9*p**2 + 2*p - 12. Suppose 0 = -3*q - 4*i + 51, -3*q - 51 = -6*q + 3*i. Calculate the remainder when q is divided by o(9).
5
Suppose 3*r + z - 14 = 0, 3*r + 18 = 4*r + 3*z. Suppose -1 = 3*d - g, -5*d - 3 = 4*g - 24. Let t = r + d. Calculate the remainder when t is divided by 3.
1
Suppose 15*n + 18 = 16*n. Calculate the remainder when 249 is divided by n.
15
Calculate the remainder when (0 - -31)/(77/308) is divided by 16.
12
Let p = 7 - -8. Let v(i) = -3*i**2 + 32*i - 34. Let q(t) = 2*t**2 - 31*t + 34. Let j(y) = -4*q(y) - 3*v(y). What is the remainder when j(-30) is divided by p?
11
Let n = -20 - -33. Let m(u) = 16*u - 61. What is the remainder when m(7) is divided by n?
12
Suppose -5*k = -5*f + 10, 0*k = -4*k - f + 17. Suppose -k*y - 13 = n - 0*y, -25 = 5*y. Suppose -n*w + 48 = 12. Calculate the remainder when w is divided by 7.
4
Suppose 6 + 9 = 5*v. Suppose n + v - 1 = 0. What is the remainder when (38/4)/((-1)/n) is divided by 5?
4
Let l be (-486)/(-12) + (-3)/2. Let k = 47 + l. What is the remainder when k is divided by 44?
42
Suppose 0*z + 4*z = -3*m + 123, 5*m - 182 = z. Suppose -4*t - 26 = -6*t. What is the remainder when m is divided by t?
11
Let w = -4 + 8. Let n = w + 8. Suppose 4*g + 133 = 3*b, -46 = -2*b - 3*g + 54. Calculate the remainder when b is divided by n.
11
Calculate the remainder when (-26)/((-1)/(87/6)) - 2 is divided by 21.
18
Let s(x) = -5*x - 10. Let g = 15 + -11. Suppose -g*l = -210 - 82. Calculate the remainder when l is divided by s(-7).
23
Suppose -13*m = -10*m - 90. Calculate the remainder when m is divided by 11.
8
Let w(z) = z**3 + 7*z**2 + 4*z - 15. Let r = 55 + -60. Calculate the remainder when 103 is divided by w(r).
13
Let q = 2 + 1. Suppose -q = -b, -2*b = p + 4*p - 66. Suppose -a - 7*i = -2*i - 52, -5*a = i - 236. What is the remainder when a is divided by p?
11
Let d = -397 - -444. What is the remainder when d is divided by 19?
9
Suppose -8*r + 108 = 4*r. Suppose -d + 4*d - 60 = 0. Let f = d - r. Calculate the remainder when 41 is divided by f.
8
Suppose 144 = 2*p + 2*p. Let s = 97 - p. Suppose -4*k = 5*d - s, 2*d - 37 = 3*k - 6*k. What is the remainder when k is divided by 4?
1
Suppose j + 20 - 27 = 0. Let y(m) = -m. Let h be y(j). Let k = h + 26. Calculate the remainder when k is divided by 4.
3
Let j = -1449 + 1555. Calculate the remainder when j is divided by 61.
45
Let h(v) be the third derivative of v**4/24 + 11*v**3/6 + 6*v**2. What is the remainder when h(8) is divided by 12?
7
Let b(i) = -i**3 + 41*i**2 + 139*i + 81. What is the remainder when b(44) is divided by 135?
119
Suppose -1 - 1 = g - 4*q, 3*q - 6 = 0. Let r(w) = 4*w**2 - 10 + 1 + 6*w + 2*w - 5*w**2. What is the remainder when r(g) is divided by 1?
0
Suppose -18*h - 387 = -27*h. What is the remainder when h is divided by 4 + -2 - (-39)/3?
13
Calculate the remainder when (7480/(-330))/((-4)/6) is divided by 19.
15
Suppose -3*a + 9*a - 42 = 0. Let p(s) be the first derivative of -8*s**2 + 2*s - 3. What is the remainder when p(-2) is divided by a?
6
Let x(o) = -8*o + 8. Let g be x(8). Let p be g/(-12) - (-1)/3. Suppose 58 = p*d + z - 5*z, 4*d = 2*z + 44. Calculate the remainder when 39 is divided by d.
9
Suppose -4 = -r - 3*r. Suppose 0 = u - 21 - r. Suppose 18*t = -111 + 327. Calculate the remainder when u is divided by t.
10
Suppose -9*i + 179 = -100. Suppose -2*l = -4*q - 3*l - 90, 5*l + 32 = -q. Let c = q + i. What is the remainder when c is divided by 5?
4
Let z(h) = -20*h + 25. What is the remainder when z(-8) is divided by 47?
44
Let i = -966 - -983. Let m(k) = -9*k**3 - 2*k**2 + 2*k - 1. Let c be m(1). What is the remainder when i is divided by (-1)/1*c + 0?
7
Let a(g) = g + 5. Let b be -3 + 6 + (1 - 4). Suppose b*j + 3*w - 26 = -j, -w - 1 = 0. Calculate the remainder when j is divided by a(5).
9
Let a(g) = 2*g - 3. Let z(l) = l. Let b(f) = f**2 - f + 12. Let w(q) = b(q) - 6*z(q). What is the remainder when w(7) is divided by a(5)?
5
Calculate the remainder when 41 is divided by (2/(-4))/(1*13/(-598)).
18
Suppose 0 = w + 2*q - 0*q + 8, 3*w - q + 17 = 0. What is the remainder when 264 is divided by (w + 7)/(1/19)?
17
Calculate the remainder when 94 is divided by 3/(-36) + (-12500)/(-240).
42
Suppose 0 = -3*m + 4*w + 289, -m - w - 3*w = -123. What is the remainder when 204 is divided by m?
101
Suppose d - 3*y - 47 = 0, d - 47 = -4*y + y. Suppose -3*w - 57 = -4*o, 71 = -3*o - 2*w + 135. Calculate the remainder when d is divided by o.
11
Suppose 2*s + 10 = 0, 0 = 3*d - s - 61 - 19. Suppose 2*i + 36 = y, 4*i - 3*y + d = -43. Let q = 6 - i. Calculate the remainder when q is divided by 7.
5
Let c(y) = 20*y**2 + 148*y - 35. Calculate the remainder when 145 is divided by c(-8).
23
Let v = 357 - 127. Calculate the remainder when v is divided by 73.
11
Suppose -37*h = -40*h + 18. Calculate the remainder when 51 is divided by h.
3
Let b = 27 - 20. Suppose 0 = -b*h - 6 + 104. What is the remainder when h is divided by 13?
1
Suppose 3*j = 4*j. Suppose 4*a - 121 - 143 = j. What is the remainder when a is divided by 23?
20
Let v(j) = -j**3 + 3*j**2 - j + 1. Let n(l) = -2*l + 1. Let u(z) = z + 1. Let k(r) = -3*n(r) + 3*u(r). What is the remainder when k(1) is divided by v(2)?
0
Suppose 128 = 5*u - 3*v + 461, 296 = -4*u - 5*v. Let r = 79 + u. Calculate the remainder when r is divided by 9.
1
Suppose 3 = -5*z + 3*t, -3*t + 2 = 5*z - t. Suppose z = 5*g + b - 36 - 4, -40 = -5*g + 2*b. What is the remainder when 37 is divided by g?
5
Let q = 15 - 1. Suppose 4*t - q = 74. Suppose -j - 4*p = -20, -j - t = -2*