- 2*j - 6569, -18808 = -4*f + 2*j. What is the remainder when f is divided by 16?
13
Suppose -7*r + 275 = 100. Calculate the remainder when 674 is divided by r.
24
Let v = 146 + -115. Let i(g) = -34*g - 20. Calculate the remainder when i(-6) is divided by v.
29
Suppose 5*t - 290 = -z, 9*t - 3*z + 72 = 10*t. Calculate the remainder when 284 is divided by t.
56
Suppose -3*u + 7*u + 432 = 4*l, 0 = -3*u - 6. Calculate the remainder when 423 is divided by l.
105
Let h = -24 - -37. Let t be 12/21 - 96/(-28). Suppose -3*d = -2*z + 13, 5*z + d = t*d + 37. Calculate the remainder when h is divided by z.
5
Let w be (-1)/(-4) + 120/32. Suppose w = -4*k + 36. What is the remainder when (-12)/8*(-10 + 0) is divided by k?
7
Let n(y) = -y - 5. Let o(u) = 4*u + 14. Let c(z) = -7*n(z) - 2*o(z). Calculate the remainder when 26 is divided by c(0).
5
Suppose 152*m - 1495 = 150*m - 3*c, 0 = -m - 2*c + 747. What is the remainder when m is divided by 15?
14
Suppose -2*u - p = -31, -2*u + 54 = u + 3*p. Suppose -5*r = 19 - 14. What is the remainder when 5/((-50)/4)*(r + -149) is divided by u?
8
What is the remainder when (-4 + 1)/((-99)/4389) is divided by 17?
14
Let i = 31 - -5. Suppose -3*u + 0*l + l = -46, 2*u - 2*l = i. What is the remainder when u is divided by 6?
2
Suppose 33*s - 176 - 88 = 0. What is the remainder when 97 is divided by s?
1
Suppose 20 = -5*d, -5*u + d - 10 = -44. Calculate the remainder when ((-384)/15)/((-8)/20) is divided by u.
4
Suppose 2*b + 4 = -4*k, -b = -3*b + k + 11. Suppose -r + 52 = -5*j, -r - b*j + 122 = 34. What is the remainder when r is divided by 25?
22
Let s be (2/4)/((-13)/156). Let c be ((-2)/s)/((-6)/(-18)). What is the remainder when -1*c*(-3 + -34) is divided by 19?
18
Suppose -2*r + 52 = -36. Let c = -31 + r. Calculate the remainder when 57/3 + ((-186)/217)/((-1)/7) is divided by c.
12
Let z(a) = -a**2 - 9*a + 76. Let h = 2 - -1. Calculate the remainder when z(-14) is divided by h.
0
Let i = -45 + 21. Let a = 39 + -27. Calculate the remainder when i*4/(-3) + 2 is divided by a.
10
Let j = -122 + 103. Let b = j + 44. What is the remainder when b is divided by 13?
12
What is the remainder when (9 - 610/20)/(3/(-12)) is divided by 20?
6
Let r(a) = -a**3 - 2*a**2 + a - 5. Let t be r(-4). Suppose 2*h - 3*h + t = 0. Let c = h - 12. Calculate the remainder when 32 is divided by c.
10
Let o(z) = -2*z + 2. Let i = 69 - -9. Suppose -7 = -5*b + i. What is the remainder when b is divided by o(-4)?
7
Suppose 7*l - 6*l + 23 = 0. Let o = -21 - l. Calculate the remainder when 4 is divided by o.
0
Suppose 2*c + 3*x = 76, -2*c + 120 - 32 = -3*x. What is the remainder when c is divided by 18?
5
Let a(k) = k**3 - 11*k**2 + 28*k**2 - 14 + 24*k - 17*k - 8*k**2. Calculate the remainder when a(-7) is divided by 8.
3
Let k(y) = 4*y**3 + y**2 + y - 2. Let r be k(1). Suppose s = r*w + 2, -5*s - 2*w = -s + 82. Let f = s + 70. What is the remainder when f is divided by 27?
25
Let w = 127 - 89. Let b(s) = 5*s**2 - 240*s - 485. Calculate the remainder when w is divided by b(-2).
8
Suppose r + 7 = 4*s, 11 = -3*r - 2*r - 4*s. Let b(c) = -24*c + 3. Let m be b(r). Suppose 4*l + 19 = m. Calculate the remainder when l is divided by 8.
6
Let o(r) = 46*r. Let y be o(1). Let j = 193 + -181. Calculate the remainder when y*1 - (0 + 1) is divided by j.
9
Let x(z) = -29*z - 461. Calculate the remainder when x(-23) is divided by 107.
99
Suppose -4*j + 2*j + 619 = i, 308 = j + i. What is the remainder when j is divided by 26?
25
Suppose -2*a = -7*a + 5. Let f(m) = 4*m**3 - m**2 + 2. Calculate the remainder when f(a) is divided by 2.
1
Suppose h + 105 = k, -3*k = -4*k + 5*h + 125. Suppose -2*c + 38 + k = 0. What is the remainder when c is divided by 14?
13
Let o(a) = -9*a - 27. Suppose 2*v + 3*v = -2*t + 13, -v - 19 = -5*t. What is the remainder when o(-4) is divided by (v + 0)*(5 + -1)?
1
Let w = 254 - 190. Calculate the remainder when 637 is divided by w.
61
Let f be (-26)/(-39)*3/(-2). What is the remainder when 43 is divided by ((-15)/(-10) + -1)/(f/(-24))?
7
Let x = 1350 + -1335. Calculate the remainder when 142 is divided by x.
7
Suppose -271*h = -251*h - 2220. Calculate the remainder when h is divided by 41.
29
Suppose -3*b = -0*b - 2*k - 14, -3*b = -k - 13. Suppose 7*m - b*m + 24 = 3*o, m = -2*o + 13. Calculate the remainder when (4 - 92/12)*(7 - 16) is divided by o.
5
Let d(i) be the third derivative of -i**4/12 + i**3/2 - 58*i**2. Suppose -1 = -l - 5. What is the remainder when 31 is divided by d(l)?
9
Let a = 34 - 27. What is the remainder when 17 is divided by a?
3
Suppose -5 - 39 = 4*o. Suppose -88 = 5*y - 2*q + 20, 3*y - 4*q + 62 = 0. Let t = o - y. Calculate the remainder when 43 is divided by t.
10
Let j(x) = x**3 + 8*x**2 - 4*x - 19. Let r be j(-8). Let z = 12 - r. Let c(l) = 19*l**2 - 1. What is the remainder when c(z) is divided by 11?
7
Suppose 45*l - 292 = -22. Calculate the remainder when (-29)/(-2) - (-1)/(-2) is divided by l.
2
Suppose 8 = -4*u, -2*u = 5*f - 6*u - 738. Let x be 9/(-15) + 2401/35. Let d = f - x. What is the remainder when d is divided by 16?
14
Let m(b) = -b**2 + 8*b + 3. Let v be ((-15)/(-30))/(1/10). What is the remainder when (-2)/8 + (-141)/(-4) is divided by m(v)?
17
Suppose p = -4*o + 16, -4*p + 25 = 3*o - 0. Suppose 0 = -5*j - 5*z - 15, 3*z + 0 = -12. Let s(y) = 6*y + 1. What is the remainder when s(j) is divided by p?
3
Calculate the remainder when (-57 - -45)*206/(-4) is divided by 31.
29
Let a = -1757 - -1874. Suppose -2*q + 37 = -d, -79 = -7*q + 2*q - 2*d. Calculate the remainder when a is divided by q.
15
Let m(t) = -t**2 + 1. Let w be m(1). Suppose w = -5*l + 3*l + 38. What is the remainder when l is divided by 12/(-8)*20/(-6)?
4
Let h = 1657 - 1409. Calculate the remainder when h is divided by 12.
8
Suppose -3*q = 10*w - 14*w - 5, 8 = 2*q + 2*w. Suppose -5*h + 45 = q*i, -3*h + 0*h - 7 = -5*i. What is the remainder when 22 is divided by h?
4
Let m(f) = f**2 - 11*f + 15. What is the remainder when m(15) is divided by 29?
17
Suppose 16*l - 1355 = -203. What is the remainder when l is divided by 30?
12
Suppose 3*c - n - 5036 = 0, -5*n + 1018 = -c + 2678. What is the remainder when 113 is divided by c/44 + (-10)/55?
37
Suppose -7*q = -151 - 1004. What is the remainder when q is divided by 12?
9
Let j = 767 - -51. Calculate the remainder when j is divided by 39.
38
Let l(b) = 2*b**2 - 13*b + 13. Calculate the remainder when 3 is divided by l(1).
1
Let k = 11 - -101. Suppose -5*p + 2*f = -200, -5*f = -p + 35 + 28. What is the remainder when k is divided by p?
36
Let l(o) = -38*o + 230. Let x = 17 - 6. What is the remainder when l(5) is divided by x?
7
Suppose -7*r - 5*w + 11 = -4*r, -5*w - 10 = 0. What is the remainder when 7 is divided by r?
0
Let k(w) = 124*w**2 - 6*w - 3. What is the remainder when k(-1) is divided by 32?
31
Let j(b) = -5*b - 22. Let u be j(-5). Suppose 290 = 5*t + u*h - h, -5*t = -3*h - 290. Calculate the remainder when t is divided by 10.
8
Let g = -6 - -8. What is the remainder when (-10)/(-30)*18 - 1 is divided by g?
1
Let t = 163 - 117. What is the remainder when 52 is divided by t?
6
Let t = 88 + -164. Let q = -18 - t. Calculate the remainder when q is divided by 20.
18
Let q = -174 - -269. Calculate the remainder when q is divided by 16.
15
Let n = -1 - -6. Let s(w) = 2*w + 33. Let y be s(-14). Suppose -2*d + 3*g - n = 2*d, -d = y*g - 16. What is the remainder when 3 is divided by d?
0
Let b = 8 - 27. Let y = b + 38. Calculate the remainder when 54 is divided by y.
16
Let i(b) = 0*b + 5 + 3*b - 14*b + 10. Let k(l) = -22*l + 30. Let y(u) = -7*i(u) + 3*k(u). Calculate the remainder when y(11) is divided by 27.
25
Calculate the remainder when -6 - 3/2*-32 is divided by 15.
12
Suppose -2*t = -5*h + 7, -3*t + 10 = t - 2*h. Let u(n) = -n**2 + 5*n + 1. Let m be u(t). Suppose -4*s = -3 - m. What is the remainder when 2 is divided by s?
0
Suppose 102*d - 11640 = 78*d. Calculate the remainder when d is divided by 70.
65
Suppose 6*s + 2*s - 176 = 0. Suppose -3*z = 15, -2*z = -b + s - 5. What is the remainder when 40 is divided by b?
5
Let j = 176 + -42. Calculate the remainder when j is divided by 35.
29
Let m(d) = -3*d + 67. What is the remainder when 153 is divided by m(11)?
17
Let p(k) = -k**3 - 9*k*