r when r is divided by z?
1
Suppose 5 = 5*b, -b = 22*a - 26*a + 135. Let v(l) = -10*l + 1. Let k be v(3). Let u = -17 - k. Calculate the remainder when a is divided by u.
10
Suppose 17*w - 4766 = 4533. What is the remainder when w is divided by 62?
51
Let t(u) = -2*u - 1. Let v = -19 - -14. Calculate the remainder when t(v) is divided by 3.
0
Suppose -5*u = b - 4, -u = 3*b - 70 + 2. What is the remainder when 239 is divided by b?
23
Suppose 4*m - 450 = m. Let s = m - 132. Calculate the remainder when 125 is divided by s.
17
Suppose 4*h = -0*h + 32. Suppose -4*p - 4*k = p - 47, 4*k = 12. What is the remainder when (0 + 1)/(p/147) is divided by h?
5
Calculate the remainder when 185 is divided by 8196/84 + (-21)/(-49).
87
Suppose -1372 - 244 = -16*v. Let j(i) = 12*i - 3. What is the remainder when v is divided by j(2)?
17
Let o(u) = u**3 - u**2 + 7. Let v be o(0). Let t = -3650 + 3670. What is the remainder when t is divided by (v - -1)*(-1 - -2)?
4
Suppose 14*u = 466 + 1298. What is the remainder when u is divided by 26?
22
Let a = 101 - 65. Let m = -194 + 207. What is the remainder when a is divided by m?
10
Let h(k) = -3*k - 48. What is the remainder when 836 is divided by h(-24)?
20
Let s = -2231 - -2279. What is the remainder when 97 is divided by s?
1
Let g(v) = 16*v - 31 + 22 - 18. What is the remainder when 147 is divided by g(4)?
36
Suppose -4*j - 45 = -165. Suppose 2846*c + 119 = 2847*c. Calculate the remainder when c is divided by j.
29
Suppose 3*k = -0*k - 15. Let z(a) = -4*a - 8. Let q be z(k). Calculate the remainder when 78 is divided by q/(-4)*(-40)/6.
18
Suppose 65*v - 276 = 114. What is the remainder when 51 is divided by v?
3
Let z(d) = -d**3 - 3*d**2 + 14*d + 6. Let x be z(-6). Suppose -b + 4*w = -x + 4, -w + 7 = 2*b. Let a = -7 - -23. What is the remainder when a is divided by b?
4
Let q = 14 + -1. Calculate the remainder when 44 is divided by q.
5
Suppose -5*t = -91 + 31. Let l(h) = -5*h - 37. Let o be l(-10). Calculate the remainder when (16 - o)*34/3 is divided by t.
10
Let m(z) = -4*z + 2. Let n be m(0). Let f = n + 1. What is the remainder when f is divided by 3?
0
Suppose 0 = -a + o + 40, 0*o + 6 = 3*o. Calculate the remainder when 166 is divided by a.
40
Let m(b) = -6*b - 13. Let q = 28 - 32. Calculate the remainder when 54 is divided by m(q).
10
Let n(t) = 23*t**2 - t. Let v be n(1). Suppose 0 = -2*k - v - 38. Let o = k - -96. What is the remainder when o is divided by 17?
15
Let s(q) be the second derivative of 13*q**3/6 + q**2 - 20*q. Calculate the remainder when s(7) is divided by 24.
21
Let z = -205 - -230. What is the remainder when 773 is divided by z?
23
Suppose -7*d - 25 = -12*d. Suppose 3*v = -9, d*m + 1 - 83 = 4*v. What is the remainder when 27 is divided by m?
13
Suppose -29 = 2*v - 101. Let x(p) = 2*p + 5. Let f be x(8). Let j = -8 + f. Calculate the remainder when v is divided by j.
10
Let x(p) be the second derivative of p**5/20 + 5*p**4/12 - 5*p**3/6 + 13*p**2/2 + 4*p. Calculate the remainder when 18 is divided by x(-6).
4
Let t = 8 - 2. Suppose t*w - w = 0. Suppose -2*f + 70 + 60 = w. What is the remainder when f is divided by 22?
21
Suppose 5*p + 250 = -0*p. Calculate the remainder when (p/(-6))/5*3 is divided by (-32)/(-14) - 10/35.
1
Suppose -237 = -3*s - 5*j, -3*s = -0*j - 2*j - 237. Let h = s - 43. Calculate the remainder when h is divided by 17.
2
Let x = 29 + -5. Suppose -3*t + 4*w - 1 = 0, w - 29 = -8*t + 3*t. Suppose -5*i + 40 = -j - 6, t*i = -2*j + 43. Calculate the remainder when x is divided by i.
6
Suppose -134 - 30 = -2*y. Let r(g) = g**3 + 8*g**2 + 4*g. Suppose -21 = 2*j + j. What is the remainder when y is divided by r(j)?
19
Let l = 189 + -170. Calculate the remainder when 186 is divided by l.
15
Let q(c) = c**2 + 26*c + 211. What is the remainder when q(-24) is divided by 83?
80
Let z(p) = 2*p**2 + 10*p - 2. Let x be z(-5). Calculate the remainder when 31 is divided by ((-102)/9)/(x/3).
14
Suppose 11 + 4 = 3*a - 3*w, -4*a + 15 = -5*w. What is the remainder when 94 is divided by 234/a + 45/75?
22
Suppose -3*y - 3 = 0, -4*k - 3*y + 4*y + 917 = 0. Suppose 5*g - k = f + 53, 3*g - 5*f - 156 = 0. What is the remainder when g is divided by 29?
28
Let t = 49 + -45. Suppose d - 15 = -2*z, -2*z + t*z + 11 = d. Calculate the remainder when d is divided by 5.
3
Let f(t) = 2*t**2 + 155*t + 1417. Suppose -2*m + 45 - 11 = 0. Calculate the remainder when f(-10) is divided by m.
16
Let q(v) = v**3 - 21*v**2 - 26*v + 13. Let i be q(22). Let n = i + 78. Calculate the remainder when 16 is divided by n.
1
Let l = -31 - -33. Suppose -l*q - q = -276. What is the remainder when q is divided by 31?
30
Let t(x) = -x**2 - 16*x - 18. Suppose -2*z - 5*k = -6*z + 80, 0 = -k - 4. Calculate the remainder when (348/z)/(10/25) is divided by t(-14).
8
Let s = 30 + -18. Calculate the remainder when 654/9 - (-1 - (-24)/9) is divided by s.
11
Suppose u - 2 = -0*u, -3*u - 176 = -2*v. Let l(k) = -4*k - 17. Calculate the remainder when v is divided by l(-10).
22
Calculate the remainder when ((-63)/84)/((-1)/132) is divided by 20.
19
Suppose -n = 4*i - 501, -78*n + 134 = i - 76*n. What is the remainder when i is divided by 40?
4
Let y = 212 + -206. What is the remainder when 11 is divided by y?
5
Let z = -31 + 37. Let q be (z + -3)*-1 - -3. Suppose q = -2*i - 8 + 28. What is the remainder when 39 is divided by i?
9
Suppose -342*v + 348*v = 138. Calculate the remainder when 75 is divided by v.
6
Let n(w) = -w**3 - 9*w**2 - 2*w - 4. Let s(x) = x**2 + x - 7. Let a be s(0). Let t = a + 12. Calculate the remainder when n(-9) is divided by t.
4
Suppose 0 = o + g - 83, -4*g + 242 = 3*o - 8*g. Calculate the remainder when o is divided by (-508)/(-18) + (-26)/117.
26
Let z(h) = 2*h**2 + h + 3. Let w(v) = -3*v**2 - v - 2. Let g(u) = -4*w(u) - 3*z(u). Suppose -4*i + 36 = -16*i. What is the remainder when g(i) is divided by 13?
11
Suppose 0 = 5*q - 3*y + 530, -3*q - 106 = -2*q + 2*y. Let j = q - -112. Calculate the remainder when 7 is divided by j.
1
Let o(g) = -3*g + 10. Suppose 0*s = s - 65. Calculate the remainder when s is divided by o(-4).
21
Let o = 98 + -52. Let t = -39 + o. Let h = 45 - 27. Calculate the remainder when h is divided by t.
4
Calculate the remainder when 39 - (-5 - 0 - (-7 - 0)) is divided by 8.
5
Suppose 4*t = -0*n - n - 12, -3*t = -3*n + 9. Suppose 4*a - 24 + 0 = n. Let m = 43 - 22. What is the remainder when m is divided by a?
3
Let x = 1300 - 1175. Suppose 2*n - 2 = 0, n = -7*d + 2*d + 211. What is the remainder when x is divided by d?
41
Let x(n) = 5*n**2 + 1. Let a be x(1). Suppose -a = -2*h + 22. Suppose 50*g - 196 - 1104 = 0. Calculate the remainder when g is divided by h.
12
Suppose 37 = n - b, -9*n + 8*n + 61 = 5*b. Let w(y) = 2*y + 7. What is the remainder when n is divided by w(7)?
20
Let y = -1371 - -1430. What is the remainder when y is divided by 34?
25
Suppose 4*u = 6*u + 40. Let q = 52 + u. Suppose 4*t - 33 - 35 = 0. What is the remainder when q is divided by t?
15
Suppose 0 = 2*f - 19*f + 238. What is the remainder when 34 is divided by f?
6
Let q be (-67)/2 + 18/12. What is the remainder when (96 - (0 - 2)) + q/8 is divided by 8?
6
Suppose 0 = -12*n + 9*n + 12. What is the remainder when 14 is divided by n?
2
Suppose -r + 0 = -2*f - 60, -2*f = 10. What is the remainder when r is divided by (-1 + 14)/(-99 - -100)?
11
Suppose 34*a - 1539 = 15*a. Calculate the remainder when 2591 is divided by a.
80
Let b = 823 + -629. Calculate the remainder when b is divided by 31.
8
Calculate the remainder when 30 is divided by ((-14)/(84/9))/((-3)/16).
6
Let s = -8 + 30. Let g(a) = 6*a - 52. Suppose -5 = -z + 14. What is the remainder when g(z) is divided by s?
18
Suppose -5*g = -11*q + 14*q - 16, 33 = 4*q - 5*g. Suppose -h + 5 = -4*z - 32, 5*z = -3*h - 25. Let x = 11 + z. What is the remainder when q is divided by x?
1
Let a = 56 - -31. Suppose -15*n + 246 = 81. Calculate the remainder when a is divided by n.
10
Let o(a) = a**2 + 3*a - 5. Let h be o(-5). Suppose -3*u - h*f = -130, f = 5*u - 120 - 50. Suppose 7*d - 2*d = u. What is the remainder when 12 is divided by d?
5
Let j(a) = 8*a**2 + 13*a + 40. What is the remainder when j(-4) is divided by 39?
38
Let a(l) be the second derivative of 0*l**2 + 11/6*l*