divided by 272/12 - (-4)/x.
19
Suppose -237 = -2*v - 5*q, 5*v + 5*q - 534 - 21 = 0. Let k(g) = -2*g + 6. Calculate the remainder when v is divided by k(-6).
16
Let a(s) = -s**2 - 11*s - 28. Let i(r) = r**2 + 12*r + 28. Let n(z) = 5*a(z) + 6*i(z). What is the remainder when n(-16) is divided by 5?
2
Suppose -303 = -2*n - 109. Let d be (-23)/(-4) + (-19)/(-76). What is the remainder when n + d/(-15)*-5 is divided by 25?
24
Suppose 170*p - 73*p = 17848. Calculate the remainder when p is divided by 64.
56
Calculate the remainder when 108/16*16/6 is divided by 15 + -1 - (-10)/(80/(-24)).
7
Let v be 0 - ((-20)/4 + 3). Suppose -5*i = -5*d + 35, 4*i + v*d + 0*d = 2. What is the remainder when (-41)/i + 7/(-14) is divided by 7?
6
Calculate the remainder when 76 is divided by 192/19 + 33/((-7524)/24).
6
Suppose l + 5*q - 20 = -0*l, -4*l = 3*q - 165. Calculate the remainder when 66 is divided by l.
21
Suppose -4*z + 22 = r - 38, 5*z - 75 = r. Let v = -60 + 103. Calculate the remainder when v is divided by z.
13
Suppose 0 = 2*u - 4*u + 34. Let t be 0 - (4 - 5)*2. Suppose -2*c + 4*n + 63 + 55 = 0, -254 = -4*c + t*n. What is the remainder when c is divided by u?
14
Suppose 0 = 3*s + 5*s - 24. Suppose b + 58 = 4*q, 5*b - 3*b - 49 = -s*q. What is the remainder when 8/3*(-33)/(-2) is divided by q?
14
Let q(h) = 3*h**3 + 3*h**2 + 3*h - 9. Calculate the remainder when 967 is divided by q(3).
103
Suppose -9 + 29 = 4*y. Let o = y - 0. Let r = -3 + o. What is the remainder when 7 is divided by r?
1
Let a(r) = 65*r + 1. Let t(n) = -66*n. Let d(s) = 6*a(s) + 5*t(s). What is the remainder when d(1) is divided by 14?
10
Let k = 84 + -44. Let j = k - 29. Suppose 1 - 15 = -4*x + 2*p, 3*x + 4*p = 16. Calculate the remainder when j is divided by x.
3
Let v be (-75)/27 + (-4)/18. Suppose 0 = 3*c - 13 + 1, -43 = -3*z - 4*c. Calculate the remainder when (42/(-8) + v)*(-2 + -2) is divided by z.
6
Suppose -r + 3*x = 10 - 29, 4*x + 60 = 4*r. Let p(t) = t**3 - 4*t**2 - 3*t - 3. Let y be p(6). Let m = 89 - y. What is the remainder when m is divided by r?
12
Let n be 2/1 - (0 + 60). Let f = -21 - n. Calculate the remainder when f is divided by 20.
17
Let w(l) = l**2 + 12*l - 19. Calculate the remainder when w(-19) is divided by 31.
21
Suppose p = -0*p + 5*u + 1, 4*p = 5*u + 34. What is the remainder when (8/(-6))/(2/(-48)) is divided by p?
10
Let r = -320 - -480. Calculate the remainder when r is divided by 22.
6
Let s(b) = -b + 10. Suppose -65 = -0*t + t. Let i = 96 + t. Calculate the remainder when i is divided by s(-7).
14
Let h be -5*1*(-336)/20. Suppose 0*f = -4*f + h. Let r = 238 + -155. What is the remainder when r is divided by f?
20
Let j be (20/25)/((-2)/(-5)). Suppose 3*r + 3*n = -j*r + 283, 4*r + n = 225. What is the remainder when r is divided by 12?
8
Suppose -2 = a - 4. Suppose -j - 8 = -4*p - 3, -5*j + 63 = a*p. What is the remainder when 107 is divided by j?
8
Suppose -9*v + 3720 = 6*v. What is the remainder when v is divided by 85?
78
Let u(h) be the third derivative of h**6/120 - h**5/10 + 5*h**4/24 + 2*h**3 - 11*h**2. What is the remainder when 45 is divided by u(5)?
9
Let z(w) = -w**3 + 6*w**2 + 9*w - 10. Let g be z(7). Suppose 5*x = g + 6. Suppose -x = -h + 4. Calculate the remainder when 17 is divided by h.
5
Suppose -4852 = -6*p - 3634. What is the remainder when p is divided by 53?
44
Let t(o) be the third derivative of -o**6/60 + o**5/20 + o**4/24 - 2*o**3/3 + 7*o**2. Calculate the remainder when t(-2) is divided by 5.
2
Suppose 5*c - 18 = 2*c + 3*a, -16 = -c + 3*a. Let t be 0 + 0 + (c - 1). Suppose t = -8*j + 3*j + 25. What is the remainder when j is divided by 2?
1
Let f = -8 - -2. Let j be 4/f + (-1510)/(-15). Suppose 0*b + j = 4*b. Calculate the remainder when b is divided by 9.
7
Let d = -187 - -1054. Calculate the remainder when d is divided by 67.
63
Let r(f) = 14*f + 2. Calculate the remainder when r(2) is divided by 17.
13
Let t = -928 + 931. Suppose -4*b - 9 = -25. Suppose -140 = -4*g + b*u, t*g = u - 3*u + 105. Calculate the remainder when 68 is divided by g.
33
Let r(y) = -13*y**2 - 4. Let c be r(2). Suppose 0*m - 26 = -2*m. What is the remainder when ((-21)/(-6))/((-116)/c - 2) is divided by m?
10
Let o(d) = -11*d - 66. Let s(w) = w - 1. Let m be s(1). Suppose 5*k = 3*i + 43 + 26, m = k - 4*i - 24. What is the remainder when o(-9) is divided by k?
9
Let m = -98 + 127. Calculate the remainder when m is divided by 11.
7
Suppose 10 = 4*h - 2*i, -3*i + 5*i = 5*h - 12. Suppose -5*a - 3*p + 139 = 0, 0 = 4*a - h*a + 2*p - 58. What is the remainder when 155 is divided by a?
25
What is the remainder when (-5 + -188)/((-1)/3*3) is divided by 28?
25
Suppose -4*p + 2*i = 6*i - 76, p + 1 = 3*i. Calculate the remainder when 46 is divided by p.
4
Suppose -2*w + 106 = -2*y, -49 = -w - 3*y - 4. What is the remainder when 152 is divided by w?
50
Let d = -159 + 386. Calculate the remainder when d is divided by 10.
7
Suppose 23044 = -60*r + 74*r. Calculate the remainder when r is divided by 97.
94
Let u(j) = j**3 + 3*j**2 + 1. Let z be u(-4). Let q = 52 - 33. Let a = q + z. Calculate the remainder when a is divided by 3.
1
Let q be (1 - 3) + -2 - 4. Let c be (-114)/q + 6/(-24). Let t = c - 5. Calculate the remainder when t is divided by 6.
3
Let a(x) = -14*x - 2. Let d(m) = -m**3 - m**2 + 25*m + 64. Calculate the remainder when a(-6) is divided by d(-3).
5
Let c(d) = d**2 + 3*d + 39. Let i be c(0). Let w = 52 - i. What is the remainder when 63 is divided by w?
11
Suppose 18 = 2*t + 4*x - 12, -2*t = -4*x + 10. Calculate the remainder when 27 is divided by t.
2
Let c = -17 + 24. Suppose 0*h + 34 = 2*h. Calculate the remainder when h is divided by c.
3
Suppose 0 = -18*t + 9*t + 90. Calculate the remainder when t is divided by 7.
3
What is the remainder when 33 is divided by 24 + 12/(48/(-28))?
16
Let t = 96 + 30. Let p = t + -83. Calculate the remainder when p is divided by 15.
13
Let b be 32/(4 + -3) - 2. Let x = 45 - b. What is the remainder when 41 is divided by x?
11
Let f = -83 - -78. Let u(q) = -q + 29. Calculate the remainder when 67 is divided by u(f).
33
Let q(a) = a**3 - 20*a**2 + 85*a - 1. Let k be ((-2 - -4)*-2)/(-1). Suppose k*h + h = 40. Calculate the remainder when q(14) is divided by h.
5
Let s(c) = c**3 + 7*c**2 - 6*c - 12. Suppose 0 = -5*b - 3*f + 30 + 34, 5*b - f = 52. Calculate the remainder when s(-7) is divided by b.
8
Suppose -433*m = -437*m + 28. Suppose 5*r - 4*h - 94 = -5*h, -5*r + 82 = -2*h. What is the remainder when r is divided by m?
4
Let h = 81 - 49. Let c = 2 + h. Suppose -x = -20*o + 15*o + 57, -51 = -4*o - x. What is the remainder when c is divided by o?
10
Suppose a = 2*r - 110, -199 = -3*r + a - 35. Calculate the remainder when r is divided by 30.
24
Let a be (-4)/(112/(-92)) - (-2)/(-7). Suppose 3*j - a = 15. What is the remainder when 29 is divided by j?
5
Let n(c) = c**3 - 3*c**2 - 9*c + 8. Let v be (-4)/(-14) - 33/(-7). Calculate the remainder when 88 is divided by n(v).
10
Suppose 7*y = 2*y - 3*y. Suppose -351 = -y*v - 9*v. Let n = 20 + -12. What is the remainder when v is divided by n?
7
Suppose -5*s + 4*h - h = -55, -5*s + 5*h = -55. Suppose -3*p + 4*p = 4*z - s, z + 4 = p. Calculate the remainder when 29 is divided by p.
2
What is the remainder when ((-55)/60)/(-11) - 4316/(-48) is divided by 49?
41
Let u = 474 + -438. What is the remainder when u is divided by 21?
15
Let j(q) = 18*q - 60. What is the remainder when j(7) is divided by 36?
30
Suppose 0 = -5*n - 2*o - 3*o + 100, -n + 26 = -o. Calculate the remainder when 154 is divided by n.
16
Let y(s) = -36*s**3 + s**2 - 2*s - 2. Suppose -g + 60 = 5*g. What is the remainder when y(-1) is divided by g?
7
Let k = -30 + 52. Let v = 36 - k. What is the remainder when v is divided by 4?
2
Suppose 12*w - 2716 = -232. Calculate the remainder when w is divided by 18.
9
Let o be -3 - (1 + 3 - 9). Suppose 3*s + o = 5. Let q = 10 + -9. What is the remainder when s is divided by q?
0
Let p be -3 - ((5 - 1) + 0). What is the remainder when 2 is divided by 1/((-4)/(p - 1))?
0
Let y be ((-4)/(-3))/(2/159). Suppose f = 4*x - 137, 0 = -2*x - 3*f - f + 64. Let v = y - x. Calculate the remainder when v is divided by 25.
22
Suppose -794 = -3*v + w, 4*v - w - 1046 = -6*w. Suppose v = -3*