-140 + 368 = -2*m. Let r = -28 - m. Calculate the remainder when r is divided by 29.
28
Let y = -16 + 42. Suppose 5*n - 2*n = 5*w + 32, 8 = 5*n + 3*w. Suppose 52 = 4*f + 4*j, -f = -n*f - 5*j + 47. Calculate the remainder when y is divided by f.
8
Suppose -3*h + 61 = -41. Suppose 0 = 7*b - 10*b + 36. What is the remainder when h is divided by b?
10
Suppose 0 = -2*d - 3*b + 8 + 75, -d + 54 = -b. Calculate the remainder when 830 is divided by d.
46
Let a(v) = v + 18. Let r(p) = -18*p + 11. Let d be r(1). Calculate the remainder when 62 is divided by a(d).
7
Let i(g) = g**3 + 10*g**2 + 4*g - 1. Let c = -57 + 61. Suppose j = -2*p + 2 + 15, -c*j + 5*p + 107 = 0. What is the remainder when i(-9) is divided by j?
21
Let w = -1396 - -1693. Calculate the remainder when w is divided by 19.
12
Suppose 657 = 3*m + 3*p, 2*m - 5*p + 58 - 496 = 0. Suppose 0 = h - m + 38. Calculate the remainder when h is divided by 26.
25
Let u(o) = 7*o - 2. Let q(j) = 6*j - 2. Let h(f) = 6*q(f) - 4*u(f). Let r be h(4). Let w = r - 12. What is the remainder when 47 is divided by w?
15
Suppose 2024*t - 16 = 2020*t. Let j(i) = 4*i + 1. Calculate the remainder when j(1) is divided by t.
1
Let z = 3 + 4. Let a = z - 8. Let v = a + 14. Calculate the remainder when v is divided by 5.
3
Suppose -3*x + 8*x - 4*z + 5 = 0, -5*x - 4*z + 35 = 0. Suppose -31 - 15 = -5*i - 2*f, -3*i - x*f + 24 = 0. What is the remainder when 47 is divided by i?
7
Let n = 332 + -234. Let v = -48 + n. Calculate the remainder when v is divided by 13.
11
Let j = -11 - -313. What is the remainder when j is divided by 34?
30
Let d(c) = -c**3 + 3*c + 251. What is the remainder when d(0) is divided by 36?
35
Let z = 13 - 13. Let a be (3 - z) + 12 + 3. What is the remainder when 21/7 + (a - 0) is divided by 12?
9
Suppose 4*d - 58 = 4*s + 3*d, 4*d = 3*s + 50. Let b = s + 22. What is the remainder when 38 is divided by b?
6
Let k = -6 - -1. Let w be (-11 - -6)*(-2)/k. Calculate the remainder when (-3)/w*-2 + 57 is divided by 19.
16
Let k = 50 - 8. Suppose -k*u - 56 = -49*u. Calculate the remainder when u is divided by 5.
3
What is the remainder when (140/(-2))/(10/(-50)) is divided by 8?
6
Suppose 3*h + 6 = -18. Let p = -3 - h. Let o(j) = -2*j**2 - 25*j - 19. What is the remainder when o(-11) is divided by p?
4
Let w(l) = 10*l**2 + 267 - 254 - 34*l**3 + 33*l**3. Let d(g) = -3*g - 8. Let a be d(-6). What is the remainder when 51 is divided by w(a)?
12
Suppose q - 27 = -5*z + z, 0 = 2*q - 3*z - 54. What is the remainder when q is divided by 7?
6
Let w = 43 - 31. Let p(l) = 4*l**2 + l. Let y be p(4). Suppose -2*z - 5*r = -y, 0 = -3*z + 5*r + 28 + 74. Calculate the remainder when z is divided by w.
10
Suppose 2*o + 2*k - 4*k = 494, 2*k - 474 = -2*o. What is the remainder when o is divided by 61?
59
Let l(y) = -43*y**3 - 3*y**2 - 6*y - 2. What is the remainder when l(-1) is divided by 4?
0
Suppose -3*q + 30 = 3*q. Suppose -5*r = 5*k - 55, -2*r - 3 = -4*k + q. Calculate the remainder when 17 is divided by r.
5
Suppose -5*m - h + 3*h + 50 = 0, 3*m + h - 41 = 0. Calculate the remainder when 382 is divided by m.
10
Let r = 45 - 42. Suppose -12 = -2*v + 3*f + 42, -r*v + 66 = 3*f. Calculate the remainder when v is divided by 17.
7
Calculate the remainder when 127 is divided by ((-10)/2)/((-155)/62).
1
Let k(p) = 2*p**3 + p**2. Let a be k(1). Suppose -a*l + 2*l + 8 = 0. What is the remainder when 19 is divided by l?
3
Let q(w) = w**3 - 2*w**2 + 4*w - 7. Let k be q(5). Suppose -10 = 3*y - y, 4*g - 4*y = k. What is the remainder when g is divided by 5?
2
What is the remainder when (86 - -4) + (-9 - -7) is divided by 22?
0
Let g(y) be the third derivative of y**6/120 + y**5/4 - 3*y**4/4 - 10*y**3/3 + 6*y**2. Let v = -100 + 169. What is the remainder when v is divided by g(-16)?
9
What is the remainder when 15/(-1*(-9)/6) is divided by (-4)/14 + (10/35 - -9)?
1
Let g = -321 + 718. Calculate the remainder when g is divided by 20.
17
What is the remainder when 45*(-13 + 12)*2/(-5) is divided by 2?
0
Let t = 3078 + -2958. What is the remainder when 1435 is divided by t?
115
Let s(n) be the third derivative of -n**4/12 + n**3/6 - 2*n**2. Calculate the remainder when s(-3) is divided by (132/(-30) - -5)/((-1)/(-5)).
1
Let k(u) = u**2 + 2*u + 3. Let d be k(-4). Suppose -d*a + 5*a = -66. Calculate the remainder when a is divided by 6.
5
Let v(z) be the first derivative of 43*z**2/2 + 10*z + 1. Let u be v(-5). Let q = u + 314. What is the remainder when q is divided by 28?
25
Suppose -3 + 17 = 7*j. What is the remainder when 187 is divided by j/5*(-15)/(-12)*94?
46
Suppose 0 = -4*x + c + 104, 10*c + 87 = 3*x + 7*c. What is the remainder when x is divided by 22?
3
Let y = 4493 - 4475. Suppose 0 = 4*v, 0 = a + 5*v - 68 + 1. Calculate the remainder when a is divided by y.
13
Let k(c) = -c**2 + 19*c - 64. Suppose 4*i = 20 + 16. Calculate the remainder when k(13) is divided by i.
5
Let p be (-20)/70 + 366/7. Suppose -5*n = -n - p. Calculate the remainder when n is divided by 8.
5
Let p be ((-1)/1)/((-2)/4). Let s be -2 + p + -1 - 41. Let b = 65 + s. Calculate the remainder when b is divided by 6.
5
Let f = 62 + 49. What is the remainder when f is divided by 23?
19
Suppose 0 = 2*f - 4*o - 62, -f - 23 = 5*o - 19. What is the remainder when 83 is divided by f?
20
Suppose 2*u = -u + 3*j + 225, -3*j = 2*u - 160. Calculate the remainder when u is divided by 19.
1
Suppose 38 = 9*f - 16. What is the remainder when 56 is divided by f?
2
Let a(z) = 2*z**2 + 60*z - 22. Calculate the remainder when a(-31) is divided by 14.
12
Suppose -8*k - 36 = -7*k. Let b = 51 + k. What is the remainder when 85 is divided by b?
10
Suppose 4*y - 9 = 27. Let g = -17 - -24. Suppose -5*f = -g*f + 64. Calculate the remainder when f is divided by y.
5
Suppose -13*t + 9 + 173 = 0. What is the remainder when 68 is divided by t?
12
Let s(v) = -2*v**3 - 1. Suppose -4*b + 7*b = 0. Suppose 0 = -4*q + 3*i - 2, -q - 1 = -b*i - i. What is the remainder when s(-1) is divided by q?
0
Let j = -12 + 24. Calculate the remainder when (9*12)/2 + 21/7 is divided by j.
9
Let u(k) = k**2 + 31*k - 16. What is the remainder when u(-35) is divided by 6?
4
Let m(d) = d**3 + 4*d**2 - 7*d - 4. Let s(v) = -v**3 + v**2 - 2*v + 11. Calculate the remainder when s(0) is divided by m(-5).
5
Let p = 8 - 1. Suppose -p*w = -12*w. Let v = 34 + w. What is the remainder when v is divided by 12?
10
Let i = -150 + 230. Calculate the remainder when i is divided by 12.
8
Suppose 5*q = 0, 8*m + 4*q = 4*m + 204. Let i = m - 41. Calculate the remainder when i is divided by 10.
0
Let p = 30 - 21. What is the remainder when (-68)/3*36/(-24) is divided by p?
7
Let g(p) = -p**2 - 20*p + 6. What is the remainder when 149 is divided by g(-19)?
24
Suppose 18387 + 12831 = 43*d. What is the remainder when d is divided by 52?
50
Let o = 3227 + -3195. Calculate the remainder when 362 is divided by o.
10
Suppose -13*h - h = 57638. What is the remainder when h/(-46)*(0 - -2) is divided by 14?
11
Let j = 18 + -22. Let m be j*1*(-2)/4. Suppose m*g + 3*g - 5 = 0, 3*p + 3*g = 234. Calculate the remainder when p is divided by 16.
13
Suppose -3*h - 30*u + 46 = -32*u, 2*u + 18 = h. Calculate the remainder when 48 is divided by h.
6
Suppose 195*o + 728 = 202*o. What is the remainder when 411 is divided by o?
99
Suppose 0 = 7*u + 88 - 333. Suppose -21 = -38*l + u*l. Calculate the remainder when 34 is divided by l.
6
Let v(g) be the third derivative of g**4/4 - g**3/3 + 3*g**2. Let d(u) = 3*u**2 - 24*u + 3. What is the remainder when v(2) is divided by d(8)?
1
Let c = -15 + 18. Suppose 0 = -b + 3*x + 4 + 6, -5*b + 26 = -c*x. Let f = 4 + 3. Calculate the remainder when f is divided by b.
3
Suppose 12*d = -3*i + 11*d + 316, 2*d - 314 = -3*i. Calculate the remainder when i is divided by ((-4)/10)/(3/(-90)).
10
Let r be 8/12 - 475/(-3). Let t = -87 + r. Calculate the remainder when t is divided by 19.
15
Suppose 18 = 2*k + 28, i - 1685 = k. Calculate the remainder when i is divided by 29.
27
Let m = 57 + -57. Suppose 11*q = -m*q + 231. What is the remainder when 62 is divided by q?
20
Suppose 4*y - u = 3*y + 48, y - 40 = 3*u. Let v = -46 + y. Calculate the remainder when v is divided by 4.
2
Let n = -2 + 39. Suppose n*k - 64 = 33*k. Suppose 4