167, 5*y + 92 = 2*n + 2. Suppose -4*f + 34 + 18 = 0. Calculate the remainder when n is divided by f.
9
Let d(c) = -2*c + 18. What is the remainder when d(3) is divided by 7?
5
What is the remainder when 371 is divided by (2 + 14/(-3))*54/(-12)?
11
Suppose 40 = 15*j - 1175. Suppose 4*i + 10 = -2*s, 4*s + 4*i + 48 = 3*i. Let g = 8 - s. Calculate the remainder when j is divided by g.
18
Let n(g) = g**3 + 9*g**2 + 13*g + 50. What is the remainder when 106 is divided by n(-8)?
6
Suppose -3*t - 371 = -3*w + 91, 5*w + 4*t = 779. Suppose w = 3*v + 32. Suppose v = 2*s + 7. Calculate the remainder when 67 is divided by s.
16
Suppose -29 = -v + 3*a, -v + 3*a + a + 31 = 0. Calculate the remainder when 320 is divided by v.
21
Let s(x) = -4*x + 4. Suppose -2722 + 252 = -13*q. What is the remainder when q is divided by s(-5)?
22
Suppose 5*w = y + 37, 2*w - 5*w + 31 = -5*y. Let j(v) = -8*v - 5. Let h(d) = -d**3 + 2*d. Let q be h(2). Calculate the remainder when j(q) is divided by w.
6
Suppose -279 = -4*t + o, 4*t + 5*o + 80 = 389. Calculate the remainder when 281 is divided by t.
68
Let j(r) = -2*r + 138. Calculate the remainder when j(-2) is divided by 37.
31
Suppose -5*i + 5*g + 100 = 0, -5*i + 22 = -g - 74. Let l = -20 + i. What is the remainder when -4 + (-8)/l - -17 is divided by 12?
9
Suppose l - 11 = -5*h - 0*h, -2*h = l - 5. Suppose 0 = -h*t - 2 + 10. Suppose 172 = -0*c + t*c. What is the remainder when c is divided by 11?
10
What is the remainder when 782 is divided by ((-91)/(-65))/(6/120)?
26
Suppose -i - 180 = -10*i. Calculate the remainder when 235 is divided by i.
15
Suppose 111*q - 96 = 103*q. Suppose -3*u + 0 = -4*b - 62, -3*u = b - 67. Calculate the remainder when u is divided by q.
10
Let h(m) = 17 - 4*m**3 + 5*m**3 - m + 11. Let w = 5421 - 5411. What is the remainder when h(0) is divided by w?
8
Let z(c) = 4*c - 1. Let q(u) be the first derivative of 10*u**4 + u**3/3 - u**2/2 + u + 4. What is the remainder when q(1) is divided by z(3)?
8
Let p(f) = f**2 + 20. Suppose 4*m = -3*k - 153, k = 3*m + 44 + 61. Let y = m + 75. What is the remainder when y is divided by p(0)?
19
Let g = 1873 - 1268. Calculate the remainder when g is divided by 38.
35
Let i = -167 + 175. What is the remainder when i is divided by 3?
2
Suppose 5*a + 308 = -3*b - b, 2*a + b + 122 = 0. Suppose -3*v + 5 = -37. Calculate the remainder when ((-22)/(-4))/((-6)/a) is divided by v.
13
Let y = 66 + -56. Suppose y*t - 5*t = -4*o + 45, -3*t - o = -34. Calculate the remainder when 37 is divided by t.
11
Let d = -162 - -174. What is the remainder when 33 is divided by d?
9
Suppose -3*n = -2*n + 5*b - 46, n = b + 22. Suppose -2*g + 15 = z, -2*z + z - 15 = -3*g. What is the remainder when n is divided by g?
2
What is the remainder when 86 is divided by 12 - ((1 - 0) + -7)?
14
Calculate the remainder when (1 + 0)*(-18 - -179) is divided by 56.
49
Let s = -691 - -737. What is the remainder when s is divided by 20?
6
Suppose -6*h + 134 + 280 = 0. Let z = h + -54. Calculate the remainder when 43 is divided by z.
13
Suppose -u + 3*u - 23 = p, -29 = -2*u - 5*p. Suppose -t + 62 = 12. Let g = 55 - t. What is the remainder when u is divided by g?
2
Let s = -7 + 260. What is the remainder when s is divided by 52?
45
Let o(r) = -r**3 + 5*r**2 - 6*r + 5. Let w(f) = 11*f**3 + f**2 - 2*f + 1. What is the remainder when w(1) is divided by o(3)?
1
Let w be (2/2 - -1) + -2. Suppose 5*x - 40 - 25 = w. Calculate the remainder when x is divided by 4.
1
Let x be (-15)/(-10) - 2 - 501/(-6). Let y = -77 + x. What is the remainder when 22 is divided by y?
4
Let n = 175 - -76. What is the remainder when n is divided by 65?
56
Let c(u) = -9*u + u**2 + 2 + 9*u. Let d be c(3). Suppose 5*w = -2*h + 38 - d, -2*w = 4*h - 30. What is the remainder when 22 is divided by h?
4
Suppose -3*z + 336 = y, 0 = -z - 3*z - 4*y + 456. Calculate the remainder when 3772 is divided by z.
109
Suppose 36*h - 5822 = -1430. What is the remainder when h is divided by 41?
40
What is the remainder when (-4520)/(-24) - 16/(-24) is divided by 44?
13
Let m(z) = -z**3 + 8*z**2 - 7*z + 8. Let r(j) = -23*j + 74. What is the remainder when r(2) is divided by m(7)?
4
What is the remainder when 53 is divided by 44/2 - (2 + -7)?
26
Let d(m) = -m**3 + 5*m**2 + 2. Let a be d(5). Let t(l) = 18*l**a + 3*l - 4*l - 2*l + l**3 + 4*l + 24. What is the remainder when 11 is divided by t(-18)?
5
Let r = -215 - -221. Calculate the remainder when 27 is divided by r.
3
Let f(s) = -s**3 + 6*s**2 - 7*s - 1. Let x be f(5). Let n = x + 13. Suppose -19 - 3 = -n*h. What is the remainder when h is divided by 6?
5
Suppose 36*y - 30*y - 246 = 0. Calculate the remainder when 144 is divided by y.
21
Calculate the remainder when 157 is divided by -2*(-5)/10 - -19.
17
Suppose -2*b + 34 = -0*b. Let m = 26 - 27. Calculate the remainder when b is divided by 3/(-2 + m)*7/(-1).
3
Let u be (-266)/(-30) + (-32)/(-240). Suppose -54 = -3*m - u. Calculate the remainder when 1/3*-1*-129 is divided by m.
13
Let r be 3/(-9) - 128/(-24). Let i(q) = 6*q + 1. What is the remainder when 123 is divided by i(r)?
30
Let t = -633 - -676. What is the remainder when 194 is divided by t?
22
Let j(l) = -l**2 + 7*l - 2. Let b be j(6). Let c(x) = -2*x + 21. What is the remainder when 62 is divided by c(b)?
10
Suppose -12*q + 2494 = -650. What is the remainder when q is divided by 68?
58
Calculate the remainder when 193 is divided by 19 + 5*(-3 - -2).
11
Suppose 3*j - 280 + 85 = 0. Let o be 2/2*(3 + 53). Suppose -5 + o = 3*z. Calculate the remainder when j is divided by z.
14
Let c be (-4)/(-10)*(0 - -10). Suppose c*w - 82 = -5*q, w - 11 - 15 = -4*q. What is the remainder when 89 is divided by w?
17
Suppose -16*f + 812 = 156. What is the remainder when 146 is divided by f?
23
Suppose -27*y + 830 = -34. Calculate the remainder when 220 is divided by y.
28
Suppose 0 = -i - 3*i + 28. Let s(w) = 2*w**2 - 5*w + 10. Let u be s(2). Let o = u - -3. Calculate the remainder when o is divided by i.
4
Let n be (-4 + 4)/(1/1). Suppose n*x = 3*x - 63. What is the remainder when 38 is divided by x?
17
Let x(j) = j**2 + 13*j + 11. Let r be x(-11). Let l = -11 - r. Calculate the remainder when 15 is divided by 48/6 - (l + 0).
7
Suppose 2*n = -a - 4*a + 261, 3*a - 150 = n. Calculate the remainder when a is divided by 12.
3
Suppose 3*i + c - 20 = 0, -2*i + 3*c + 118 = 112. Let l = 54 - 37. Calculate the remainder when l is divided by i.
5
Let q = 53 + -52. What is the remainder when 32 is divided by (2 - q)*0 - -5?
2
Let a(j) be the first derivative of 3*j**2 - 26*j - 12. Let z(b) = b**3 - 4*b**2 + b + 3. What is the remainder when a(15) is divided by z(5)?
31
Let l be (-19 + 16)/(6/32). Let w be (l/10)/((-11)/55). What is the remainder when 74 is divided by 1/w - 303/(-8)?
36
Suppose -171*w + 55860 = -57*w. Calculate the remainder when w is divided by 123.
121
Suppose 0 = 2*g - 3*s + s + 2, -3*s + 3 = 5*g. Suppose -117 = -0*j - 4*j - v, g = 5*j + 3*v - 148. Calculate the remainder when j is divided by 15.
14
Suppose 3*x - 15 = o, -3*x + o - 2*o = -9. Suppose 0 = -c + 2*d + x, -5*d = 3*c + c - 3. Calculate the remainder when 9 is divided by c.
1
Let l(p) = -2*p**3 + p**2 - p - 1. Let v(b) = 3*b**3 - b. Let k be v(-1). Let h = -23 - -34. Calculate the remainder when l(k) is divided by h.
10
Let p(z) = z**3 - 9*z**2 + 9*z - 3. Let m be p(8). Suppose -m - 17 = -k. Let b = k - 4. Calculate the remainder when b is divided by 7.
4
Suppose 2320 = 65*m - 25*m. Calculate the remainder when 171 is divided by m.
55
Let v = 59 + -33. Let t(a) = -a**2 - 6*a + 3. Let c be t(-6). What is the remainder when -3*103*(-1)/c is divided by v?
25
Let v = 29 + 22. What is the remainder when v is divided by 14?
9
Let u = -4 + 27. Calculate the remainder when (-2 - 2) + 20/4 + 66 is divided by u.
21
Suppose 0 = -5*y + m + 174, -5*y + 4*y = 4*m - 39. What is the remainder when y is divided by ((-1652)/(-1062))/((-8)/(-108))?
14
Suppose -15*x = -32*x + 969. What is the remainder when x is divided by 9?
3
Let f(b) = -5*b - 28. Suppose 4*t + 2*j = j + 78, 0 = 3*j - 6. What is the remainder when t is divided by f(-7)?
5
Let x(a) = 15*a - 10. Let y = 43 - 38. Calculate the remainder when x(y) is divided by 17.
14
Suppose 0 = k + 5*h - 10 - 2, 