Let b = x + 5. Calculate the remainder when 16 is divided by b.
6
Suppose 509 + 601 = 30*z. What is the remainder when 129 is divided by z?
18
Let b = -1470 + 2088. Calculate the remainder when b is divided by 69.
66
Let k(z) = z**2 + 3. Calculate the remainder when 6*(-2 - (-52)/8) is divided by k(2).
6
Let p = -1279 - -1381. Calculate the remainder when 223 is divided by p.
19
Let z be (-12)/(-2) + -1*1. Let o = z + 49. Calculate the remainder when o is divided by (2/7)/(120/8400).
14
Let s be (-4)/(-1*4/20). Let h = s + -9. Suppose 5*g - 150 = -0*g. What is the remainder when g is divided by h?
8
Let h = -121 + 174. What is the remainder when h is divided by 14?
11
Let s = 1025 + -745. Calculate the remainder when s is divided by 70.
0
Let w(i) = i**3 + 2*i**2 + 5*i + 57. What is the remainder when 338 is divided by w(0)?
53
Let r(s) = 307*s - 1351. What is the remainder when r(16) is divided by 12?
9
Suppose -14*a + 135 = -5*a. What is the remainder when 40 is divided by a?
10
Let i be 1 - 3/((-6)/4). Suppose -13 = i*h - 61. Calculate the remainder when 63 is divided by h.
15
Let h(b) be the first derivative of b**4/4 + b**3 - b**2 + 8*b - 7. Let o be h(-4). Suppose -l = -o*l - 16. What is the remainder when 60 is divided by l?
12
Suppose 0*t = 3*h - 5*t - 44, 0 = 2*t - 4. What is the remainder when 665 is divided by h?
17
Let m = 29 - 25. Suppose -m*n - 190 = -3*y, -5*n + 21 = -4. Calculate the remainder when y is divided by 25.
20
Suppose -5*c - 4*i = -2638, 0 = c - 3*i - 39 - 500. What is the remainder when c is divided by 76?
74
Suppose 343*d = 344*d + 2*z - 106, -318 = -3*d - 4*z. Let r = -55 - -83. Calculate the remainder when d is divided by r.
22
Let w = -80 - -242. Let a = -15194 + 15235. Calculate the remainder when w is divided by a.
39
Suppose 0 = -4*f + 2*g - 3*g - 11, -5*g - 4 = 3*f. Let x(z) = 2 + 5*z**2 + z**2 + 0*z**2 + z. Calculate the remainder when x(f) is divided by 18.
17
Let j(b) = -11*b + 59. What is the remainder when j(-9) is divided by 1?
0
Let o(t) = t**3 - 11*t**2 + 3*t - 169. What is the remainder when 18 is divided by o(12)?
7
Suppose -3*i = 4*w - 32, 2*i - 10*w + 5*w = -17. Suppose i*z + z = 380. Calculate the remainder when z is divided by 39.
37
Let u be ((-1536)/(1 - 7))/1. Let b = -143 + u. Calculate the remainder when b is divided by 29.
26
Suppose -2*m + 38 = 8. Let i = m + -10. Calculate the remainder when 14 is divided by i.
4
Let n(j) = j**2 - 14*j + 2. Let i be n(14). Let w(z) = -4*z**i + 2*z**3 - z**3 - 9 - 6*z + 1 + 1. Calculate the remainder when w(6) is divided by 15.
14
Let x(g) = -g**2 + 13*g. Suppose 13*w = 12*w + 11. Let r = 65 - -22. What is the remainder when r is divided by x(w)?
21
What is the remainder when 192 is divided by 14/(2/(16/(-4) - -8))?
24
Let v be (-8)/(-1) + (15 - 13). Let m = v - -2. Calculate the remainder when m is divided by ((-1)/(-4))/((-78)/40 + 2).
2
Suppose 3*d = 2*d - 4*v + 46, 0 = 2*d - 4*v - 44. Let u(b) = 2*b**3 + 19*b**2 - 11*b + 7. Calculate the remainder when d is divided by u(-10).
13
Suppose -2*o - o - 2*v = -5, -4*o = -4*v. Suppose 3*x - 4*x + 19 = 2*l, -2*l + 88 = 4*x. What is the remainder when x is divided by 1 + o/(4/44)?
11
Let a be 9/(4/(-16)*-4). Calculate the remainder when (a - 7)/(2/71) is divided by 24.
23
Let n(l) = -6*l - 10 + 12*l + 7*l. What is the remainder when n(8) is divided by 25?
19
Let x(q) = -q**2 - 20*q + 112. Calculate the remainder when 109 is divided by x(-24).
13
Suppose -6*o - 927 + 1725 = 0. Calculate the remainder when o is divided by 60.
13
Suppose 30 = 2*b - 5*b. Let p be 8/b*5/(-2). What is the remainder when (-3)/(-2 - 1)*p is divided by 1?
0
Let h = 7 - 3. Suppose 3*q + 9 = h*q. What is the remainder when (12/30)/(1/60) is divided by q?
6
Let m(j) = 22*j - 52. Calculate the remainder when m(21) is divided by 18.
14
Suppose -h + c + 6 = 0, -11 - 3 = -2*h + c. Suppose 3*v - h*v = -3*m + 9, 2*v = 5*m - 15. Suppose -47 + 2 = -m*f. What is the remainder when 29 is divided by f?
14
Suppose -2*t + 9 = -71. Let o(g) = g**2 + 63*g + 936. What is the remainder when o(-20) is divided by t?
36
Let j(m) = 4*m - 275 + 275. Suppose -4*g + 22 = -2*g. What is the remainder when g is divided by j(1)?
3
Let m be (-8)/(-4) + -1 - (-2 - 1). Suppose 534 - 50 = m*p. Calculate the remainder when p is divided by 31.
28
Let w = 6411 + -6346. Calculate the remainder when w is divided by (11/1)/((-2)/(-6)).
32
Let l = 340 - 322. Suppose 0 = -4*x - 16, n = -0*x - 2*x + 63. Calculate the remainder when n is divided by l.
17
Let d(r) = -r**2 - 12*r - 10. What is the remainder when d(-9) is divided by 4/2*3 + -1?
2
What is the remainder when 1330 is divided by ((-15)/3)/((-195)/1677)?
40
Let p be (-6)/9 - 2/(-3). Suppose -c - 5 + 2 = 0, 4*f - 4*c + 24 = p. Let v = f - -19. What is the remainder when v is divided by 6?
4
Suppose 10*m + 4*m - 42 = 0. Calculate the remainder when 62 is divided by m.
2
Suppose 31*l + 35 = 36*l. What is the remainder when 18 is divided by ((-1 + l)/(-1))/((-12)/16)?
2
Suppose q + 7 - 15 = 0. Calculate the remainder when 31 is divided by q.
7
Suppose h - 11 - 12 = -2*i, 0 = 4*h - 12. Let x = 61 - 36. Suppose 4*r = x + 91. What is the remainder when r is divided by i?
9
Let h = 136 + -133. Suppose -2*d - h*l = -7, 50 = 7*d - 2*d + l. Calculate the remainder when d is divided by 7.
4
Let z = -1229 + 1509. What is the remainder when z is divided by 19?
14
Let x(l) = 5*l**2 - 3*l - 17. Calculate the remainder when x(-9) is divided by 16.
15
Suppose -4*c - 3*k - 45 = c, 45 = -5*c + 2*k. Let g = -5 - c. Suppose g*h - q - 105 = 0, 4*q + 50 = 2*h - 6. What is the remainder when h is divided by 15?
11
Let i(d) = -d**3 - 8*d**2 + 23*d - 10. Suppose -2*c = 2*y - 56, 3*c + 76 = 6*c - y. Calculate the remainder when i(-11) is divided by c.
22
Suppose -3*u + 984 = -3*j, -328 = 2*u - 3*u + 3*j. What is the remainder when u is divided by 5?
3
Let c(n) = -19 + 31*n - 11*n - 16*n. Calculate the remainder when c(7) is divided by 3.
0
Let w = -1312 + 1331. Calculate the remainder when 416 is divided by w.
17
Suppose 0 = 3*l - 51. Let t = 95 + -89. Suppose -4*f = -2*k - 30, 0 = -2*f - 4*k + 8*k + t. What is the remainder when l is divided by f?
8
Suppose -4*y + 2*x + 779 = 3*x, -995 = -5*y + 3*x. What is the remainder when 144 is divided by 3/(2/y*6)?
46
Suppose 105*d = 100*d - 25, -3*q + 18 = 3*d. What is the remainder when 13 is divided by q?
2
Suppose 2*p + 144 = 2*z, 2*z + 3*p + 0*p - 139 = 0. Calculate the remainder when z is divided by 53.
18
Let o be (3 + -7 + 0)/(-2). Suppose 3*a - 70 + 13 = o*q, 4*q + 12 = 0. What is the remainder when 118 is divided by a?
16
Suppose 0 = -41*b - 494 + 2749. Calculate the remainder when 95 is divided by b.
40
Let q = -204 + 231. What is the remainder when 122 is divided by q?
14
Suppose -d = d - 46. Let h = d - 2. What is the remainder when 41 is divided by h?
20
Let x be 0 - (10*3)/5. Let y(r) = 6*r + 3. Calculate the remainder when y(8) is divided by (8/10)/(x/(-135)).
15
Let s(x) = x**2 - 130*x - 1995. Let m = 28 - 16. Calculate the remainder when s(-14) is divided by m.
9
Let r = 14 - 17. Let z = 10 + r. Suppose -f - 1 = -z. Calculate the remainder when 11 is divided by f.
5
Let x = 145 - 42. Calculate the remainder when x is divided by 24.
7
Suppose 0 = -0*c - 6*c + 60. Let z = c - -8. Suppose -z = -3*u + 78. What is the remainder when u is divided by 17?
15
Let d(r) = 7*r + 3. Let z(g) = 6*g + 4. Let p(b) = -5*d(b) + 6*z(b). Calculate the remainder when 18 is divided by p(-4).
3
Suppose v = -v - 8. Suppose -31*h + 136 = -4*h + 7*h. Calculate the remainder when (-74)/(-10) - v/(-10) is divided by h.
3
Let n(z) = -2*z + 6. Let r be n(6). Let l be 1*r*1*3. Let f = l + 30. What is the remainder when 23 is divided by f?
11
Suppose 4*n + 3*i - 313 = 4*i, 72 = n + i. Suppose 0 = 4*t + n - 213. Calculate the remainder when t is divided by 18.
16
Let n(l) = -3*l + 5. Let u(r) = r - 2. Let j(v) = 2*n(v) + 5*u(v). Let k be j(-2). Suppose -o + k*o = 4. What is the remainder when 10 is divided by o?
2
Let w = 720 + -620. Calculate the remainder when w is divided by 38.
24
Let g = -13 - -15. Let f = 15 + -8. What is the remainder when (3/(-6))/(g/(-104)) is divided by f?
5
Suppose 25 = -3*r + 10, -4*w + 3