
15
Let o = -68 - -72. Suppose 4*c = 5*v + 4 + 7, -7 = -3*c + o*v. What is the remainder when 20 is divided by c?
2
What is the remainder when 7378/28 - 4/(16/(-10)) is divided by 67?
65
Let f = -18 + 22. Suppose -k = f*k + 400. Let r = 131 + k. Calculate the remainder when r is divided by 13.
12
Let p be (-2)/4*(-17 - -1). Let d be ((-5)/(-4))/(2/p). Suppose d*w - 75 = -2*u, 0 = 2*w + 2*w - 5*u - 60. Calculate the remainder when w is divided by 8.
7
Let b(t) = t**2 - t + 1. Let n(h) = 6*h**2 + 3*h - 16. Calculate the remainder when n(3) is divided by b(4).
8
Suppose 30 = 5*q - 4*l + 6*l, -4*q + 26 = 2*l. Let y = 16 + -3. Let f = y - -1. What is the remainder when f is divided by q?
2
Calculate the remainder when 310 is divided by (-13)/((-13)/42) + 9/(-3).
37
Let k = 55 + -46. Calculate the remainder when 2 + 22/(2 + -1) is divided by k.
6
Suppose -2 = 4*i + 6. What is the remainder when (1095/30)/((-1)/i) is divided by 19?
16
Let s = -84 - -150. Let f = -1211 - -1228. What is the remainder when s is divided by f?
15
Calculate the remainder when 1 + (-2 - -21) + 46 + -13 + -36 is divided by (3/2)/((-3)/(-18)).
8
Let l(u) = 2*u**2 - 10*u + 4. What is the remainder when l(-6) is divided by 28?
24
Let t(w) = 1 + 1 - w - 2 - 4. Let r be t(-7). Suppose -k + 4*z - r*z + 4 = 0, 0 = 5*k - 2*z - 11. What is the remainder when k is divided by 1?
0
Suppose -335*q + 104 = -334*q. What is the remainder when q is divided by 4?
0
Calculate the remainder when 696 is divided by (441/63)/((-1)/6*-3).
10
Suppose 3*u = 5*u - 4. Suppose u*k - 5*c - 94 + 37 = 0, -34 = -k - 3*c. Let f = 263 + -252. What is the remainder when k is divided by f?
9
Let r be (-16)/(-12)*12/8. Let d(o) = 16*o - 4. Suppose 2*v - 98 = -3*w, 3*w - 70 + 357 = 5*v. What is the remainder when v is divided by d(r)?
27
Let m(q) = -19 + 11 + 79 + 0*q + q. Calculate the remainder when 125 is divided by m(-28).
39
Suppose t - 8*o + 4*o - 13 = 0, 2*t = -o + 8. Suppose -314 = -t*n - 49. What is the remainder when n is divided by 19?
15
Let o = 24 + -22. Suppose 55 = o*y - 5*h, 2*y = -2*h + 7 + 13. Calculate the remainder when 42 is divided by y.
12
Let v(a) = -17*a - 9 + 2 - 4*a**2 + 5*a**2 - 1. What is the remainder when v(19) is divided by 16?
14
Suppose 3*a - 142 = k, 0 = -2*a + 3*k + 33 + 50. Let i be (-309)/(-6) + 4/8. Suppose 2*h - 6*h = -i. Calculate the remainder when a is divided by h.
10
Let f(r) = -r**2 - 62*r - 424. Calculate the remainder when f(-21) is divided by 22.
19
Suppose 0 = 7*z - 10*z + 45. Let x be z - (-9 + 3 + 3). Suppose -2*l - 2*l - 2*o + x = 0, 0 = 5*l + 3*o - 22. What is the remainder when 13 is divided by l?
3
Let v(z) = z + 36. Suppose 2*f + 10 = 0, -5*m - 2*f - 82 + 422 = 0. Calculate the remainder when m is divided by v(0).
34
Let b be (-2)/10 + 66/55. What is the remainder when (16 + 7)/(b - 0) is divided by 12?
11
Suppose -b + 26 = -15. Suppose 0 = 4*j - o + 53, 3*j - 3*o + 2*o = -b. Let l = j - -19. Calculate the remainder when l is divided by 4.
3
Suppose 24*n - 4*a - 23 = 23*n, -2*a - 7 = n. Let l(w) = w - 4. Let p be l(4). Suppose 0*s + n*s - 99 = p. What is the remainder when s is divided by 12?
9
Let t(r) = -r**2 + r - 1. Let y(d) = d**2 - 4*d + 9. Let f(q) = -2*t(q) - y(q). Calculate the remainder when (1 + 0)/(2/30) is divided by f(-5).
7
Suppose -37*i + 20 = -32*i. Suppose 31 = d + 4*r, 2*d - 6 - 36 = -i*r. Calculate the remainder when 30 is divided by d.
8
Let b(u) = u**3 + 5*u**2 + u - 1. Let g be b(-6). Let q = g - -8. Let f = -20 - q. Calculate the remainder when 29 is divided by f.
14
Calculate the remainder when 64 is divided by 1/2*57 + (-243)/162.
10
Let t(z) = -37*z - 10. Let n be t(2). Let o = n - -96. What is the remainder when 166 is divided by o?
10
Suppose -3*m = -0*m - 15. Calculate the remainder when (-4*(-6)/(-4))/((-6)/14) is divided by m.
4
Suppose 0 = 58*v - 29*v - 754. What is the remainder when 175 is divided by v?
19
Let n be (-2)/(-8) - (-207)/4. Calculate the remainder when 34 is divided by (-13)/n - 98/(-8).
10
Let d(k) = 4*k**3 + 2*k**2 + 3*k - 71. Calculate the remainder when d(5) is divided by 55.
54
Let d = 565 - 547. What is the remainder when 827 is divided by d?
17
Suppose 10*b = 7*b + 69. Calculate the remainder when 36 is divided by b.
13
Let q = 21 + -30. Let m = 6 - q. Calculate the remainder when 54 is divided by m.
9
Suppose 0 = -7*v + 809 + 1179. What is the remainder when v is divided by 48?
44
Let w(y) = y**3 - 7*y**2 + 6*y - 15. Let d = -29 + 81. Calculate the remainder when d is divided by w(7).
25
Let y = 15 - -8. Let i be 32830/90 - 2/(-9). Suppose 5*j + 3*k = 7*j - 183, 5*k = 4*j - i. What is the remainder when j is divided by y?
21
Let f(m) = -11*m - 1. Let l(g) = g**3 + 20*g**2 - 2*g - 26. Let h be l(-20). Calculate the remainder when (-8)/h - 9707/(-119) is divided by f(-2).
18
Let n = -10 - -24. Suppose 5*p = 270 - 75. What is the remainder when p is divided by n?
11
Let w be (-2 + 1 + (-1 - -2))/1. Suppose w = -5*s + 5*h + 100, -s = 2*s + 5*h - 92. Let y(n) = n**2 + 6*n - 2. What is the remainder when y(6) is divided by s?
22
Suppose -12*q + 38*q - 2964 = 0. Calculate the remainder when q is divided by 25.
14
What is the remainder when ((-57)/(-18))/((-3)/(-6))*6 is divided by 4?
2
Let h = -119 + 198. What is the remainder when h is divided by 2/3 + 92/6?
15
Let v(m) = 6*m**3 - 5*m**2 - 2*m - 7. Calculate the remainder when v(3) is divided by 94.
10
Suppose m = 3*m + 2*j - 10, -5*m + 2*j = -4. Suppose -2*r = -5*g + 3, m*g - 12 = -2*g. What is the remainder when 10 is divided by r?
4
Let m(b) = -b**3 - b**2 + 6*b + 7. Suppose 49 = 2*h - 197. Calculate the remainder when h is divided by m(-4).
30
Let k = -181 - -195. What is the remainder when 111 is divided by k?
13
Suppose -66*t = -17999 - 4111. Calculate the remainder when t is divided by 42.
41
Let d = 65 + -12. Suppose 5*c = 2*c - 3*m + 87, 3*m - 3 = 0. Calculate the remainder when d is divided by c.
25
Let r(i) = 2*i**2 + 5*i - 6. Let s be (-12)/2 - 1/1. Suppose -125*n + 180 = -116*n. What is the remainder when r(s) is divided by n?
17
Suppose 5*w - 3 - 2 = 0. Suppose 0 = x - w + 3, h + x = 2. Calculate the remainder when h is divided by 3.
1
Let f = -2 - -5. Suppose 3*l - 5*t - 35 = 0, -f*l - 2*t + 110 = 2*l. Let p = 13 + -2. Calculate the remainder when l is divided by p.
9
Let y(l) = 17*l + 4. Let v be y(-6). Let h = v + 165. What is the remainder when h is divided by 17?
16
What is the remainder when 6/(-4)*(-2112)/72 is divided by 10?
4
Let i be -2*((-6)/(-3))/(-2 - 0). Suppose -5*t + 34 = 2*r, i*t - 2*r + 4*r = 10. Calculate the remainder when t is divided by 7.
1
Suppose -3*z + 8 + 1 = 0. Suppose -2*j = -z*j + 24. What is the remainder when 46 is divided by j?
22
Suppose 0 = 25*c + 84 - 459. Suppose 6*n + 58 = p + 3*n, 3*p - 162 = -3*n. Calculate the remainder when p is divided by c.
10
Let w = -46 + 75. Let f = -15 - -20. Suppose 1 = -f*b + 41. What is the remainder when w is divided by b?
5
Suppose 3*t - 29 = -4*g + 35, -g + 4*t = 3. Let z = -12 + g. Suppose -3 = -r + z. What is the remainder when 13 is divided by r?
1
Let q = 169 + -145. Calculate the remainder when 119 is divided by q.
23
Let n(l) = -2*l**3 - 6*l**2 - 3*l + 16. Let x be n(-4). Suppose 0*f - 34 = -2*f + c, 3*f + 3*c = x. Calculate the remainder when f is divided by 10.
8
Let z = -17 + 24. Let o(v) = 332*v + 6335. What is the remainder when o(-19) is divided by z?
6
Let h(r) = -r**3 + 2*r + 72. Let s be h(0). Suppose m = -4*p + 2*p + s, 3*p = 3*m + 117. Calculate the remainder when 70 is divided by p.
33
Let z be 36 - 1*(-8)/4. Suppose 3*x = l - 19, 5*x - z = -5*l + 37. Calculate the remainder when 63 is divided by l.
15
Let h = 487 - 385. Calculate the remainder when 1424 is divided by h.
98
Let b(q) = -3*q**2 - 7*q - 8. Let m(x) = -x**2 - x - 1. Let y(u) = b(u) - 5*m(u). Calculate the remainder when y(3) is divided by 3.
0
Let a be 2/3 - 8/12. Suppose 10*l - 5*l - 10 = a, 5*l - 4 = v. Suppose -5*y = 6 - 21, -4*y = -r - v. Calculate the remainder when 27 is divided by r.
3
Suppose 21*i - 1416 = 13*i. Calculate the remainder when i is divided by 36.
33
Let z = 6 - 40. Let j = -21 - z. Suppose 11*d = j*d - 44. What is the remainder when 42 is divided by d?
20
Let m be 35*