inder when 6 is divided by n(-8).
2
Suppose 4*n + 0*n + 4*n = 0. Suppose 2*i - 112 = -5*m, 2*m + n*i - 40 = 4*i. What is the remainder when m is divided by 13?
9
Let p(r) = 6*r. Suppose 130 + 206 = 42*n. What is the remainder when n is divided by p(1)?
2
Let h = -14 - -1533. What is the remainder when h is divided by 80?
79
Suppose 0*n - 17 = n. Let j = -12 - n. Suppose 0 = j*y - y - 72. What is the remainder when 33 is divided by y?
15
Let o(p) = -p**2 - 7*p - 8. Let g be o(-4). Suppose v + 0 = 3, g*v + 43 = y. Let h = 95 + -66. Calculate the remainder when y is divided by h.
26
Let u(h) = -h**2 + 6*h - 16. Let r be u(12). Let n = -17 - r. Calculate the remainder when n is divided by 12.
11
Let z(l) = -136*l + 6. What is the remainder when z(-1) is divided by 9?
7
Let k(c) = -c**3 - 8*c**2 - 10*c + 15. What is the remainder when 179 is divided by k(-7)?
35
Let o(h) = -29 - 35*h + 7*h + 0*h. What is the remainder when o(-8) is divided by 14?
13
Let v = -12 + 15. Calculate the remainder when 25 is divided by v - (-1 + -4 + 5).
1
Suppose 0 = -i - 2*h + 2, 5*i + 12 = 4*h + 64. What is the remainder when 92 is divided by i?
4
Suppose -5*v = 16*v - 4788. What is the remainder when v is divided by 33?
30
Let p = -525 - -556. What is the remainder when p is divided by 10?
1
Suppose 319 = 17*c - 1041. Calculate the remainder when 636 is divided by c.
76
Let c(l) = 66*l + 2. Let n be c(1). Suppose 3*x - n = -3*m - 8, -5*m + 100 = -2*x. Calculate the remainder when 98 is divided by m.
18
What is the remainder when (-1046)/(-9) - (-72)/(-324) is divided by 39?
38
Let t = -62 - -100. Suppose 0*i + t = i. Calculate the remainder when i is divided by 27/162 + 118/12.
8
Suppose 189*q - 191*q + 108 = 0. Calculate the remainder when 316 is divided by q.
46
Suppose -5*h = -5*u - 1685, 5*u = -4*h + 5*h - 317. What is the remainder when h is divided by 27?
18
Calculate the remainder when (18/(486/(-63)))/((-1)/57) is divided by 23.
18
Let m = -79 - -74. Calculate the remainder when 43 is divided by 2*((-13)/(-2) - m).
20
Let l = -347 - -360. Calculate the remainder when 77 is divided by l.
12
Let h(w) = -w**2 + 37*w - 176. What is the remainder when h(25) is divided by 44?
36
Suppose 2*x = -3*p - 4, -2*p = x + 2 + 2. Let g(i) = -4*i**3 - 3*i**2 - 2. What is the remainder when g(-2) is divided by x?
2
Suppose -12 = 2*w + 4*v, 2*w + 1 = 3*v - 4. Let r be 15*5/((-50)/w). Suppose 11*c - 30 = r*c. What is the remainder when c is divided by 2?
0
Suppose 631*p - 1575 = 622*p. What is the remainder when p is divided by 10?
5
Let l be (2/4)/(4/(-40)*-1). Let o(g) = 12*g**2 - 7*g + 5. Let x be o(5). Suppose -l*r + x = -0. Calculate the remainder when r is divided by 19.
16
Let p be (-5)/4*(-5 - -37). Let n be 13/(-5) - (-16)/p. What is the remainder when 8/(n/72*-3) is divided by 11?
9
Let c = 36 + -20. Calculate the remainder when c is divided by 10 + -2 + 1/(-1).
2
Suppose -4*u = d - 6*d - 30, -4*u - 4*d = -12. Let g = u + 17. Calculate the remainder when (-2)/(2 + (-344)/170) is divided by g.
19
Let s be ((-288)/45)/((-4)/30). What is the remainder when s - 11 - (12/(-3) - -2) is divided by 14?
11
Let g(f) = 10*f**3 + f**2. Let k(m) = m**2 + m - 1. Let y be k(0). Let v be g(y). Calculate the remainder when (3/v)/(3/(-117)) is divided by 4.
1
Let g(s) = -s**3 - 13*s**2 + 2*s**3 + 0*s**3 + 6*s**2 + 11 + 7*s. Calculate the remainder when 25 is divided by g(6).
8
Let y(a) = a**3 - 10*a**2 - 2*a - 5. Let w be (-18)/(-117) + (-282)/(-26). Calculate the remainder when y(w) is divided by 19.
18
Suppose 14*p - 10*p = 24. Let b(x) = x - 1. Let m = 1 + 2. Calculate the remainder when p is divided by b(m).
0
Let t(l) = -5 + 109*l + 2 - 113*l + 16*l**2. Suppose 2*o - 36 = 3*r, -4*r + 8 + 10 = o. What is the remainder when t(-2) is divided by o?
15
Let m = -31 - -30. Calculate the remainder when 66 is divided by 8 + (-1 + -1)/m.
6
Let u be -4 - -2*(2 - 0). Suppose -83 = -p - 2*z - 0*z, u = -z + 2. What is the remainder when p is divided by 21?
16
Let l(x) = 29*x + 2. Let y be l(-2). Suppose -54 = -6*p + 4*p. What is the remainder when p is divided by y/6*(-6)/4?
13
Let u(c) = c**2 + 20*c + 93. What is the remainder when 54 is divided by u(-7)?
0
Let w be (-14)/35 - (1 - (-4641)/(-15)). Let i = -184 + w. What is the remainder when i is divided by 14?
12
Let o = -162 - -256. What is the remainder when 116 is divided by o?
22
Let k = 2337 - 2334. What is the remainder when 13 is divided by k?
1
What is the remainder when (-4)/(-30) + (-13988)/(-390) is divided by 25?
11
Let a(o) = -15*o + 171. What is the remainder when 460 is divided by a(10)?
19
Let l be 8 - ((-1)/(-1) + -1). Calculate the remainder when (l/(-10))/((-6)/195) is divided by -1*(3 - 5) + (24 - 17).
8
Calculate the remainder when 83 + -3*(-18)/(-3) is divided by (-1)/(-1) - -10*1.
10
What is the remainder when (6 + 2 - -106)/(6/9) is divided by 22?
17
Suppose 8*v = -23*v + 651. Calculate the remainder when 62 is divided by v.
20
Let p(v) = 5*v**3 + 3*v**2 - 7*v + 1. Let o be p(2). Let q = o + -25. Calculate the remainder when 24 is divided by q.
10
Suppose r + 172 = -4*m + 7*m, -4 = -2*r. Calculate the remainder when m is divided by 4.
2
Suppose 206*t = 200*t + 2988. Calculate the remainder when t is divided by 20.
18
Let c(v) = 4*v**3 + 7*v - 7 + 0*v**2 - 3*v**3 - 7*v**2. Suppose t = -n - 0 + 17, -5*t = 2*n - 40. What is the remainder when c(7) is divided by n?
12
Let m be 0 + 10/(-2) + 2. Let v = 40 - m. What is the remainder when v is divided by 9?
7
Suppose 0 = -29*i + 3387 - 574. What is the remainder when i is divided by 42?
13
Let j = -46 - -50. Suppose j*z - 2*z = 54. What is the remainder when z is divided by 9?
0
Let p(r) = r**2 + 4*r + 4. Let s be p(-2). Suppose s*b + 4*b - 8 = 0. What is the remainder when 7 is divided by b?
1
Let j(h) = h**3 - 8*h**2 - 7. Let f be j(8). What is the remainder when 8 is divided by (4 + f)*3/(-3)?
2
Let l be (21/2)/((-13)/(-26)). Suppose b + 5*a = 34, 2*b + 5*a - l - 27 = 0. What is the remainder when 55 is divided by b?
13
Let y(s) = -s**3 - 13*s**2 + 30*s. What is the remainder when y(-16) is divided by 29?
27
Let t = -11 + 24. Calculate the remainder when t is divided by (-36 - -41)/((-3)/9*-3).
3
Let f = 11 - 13. Let n be (12/2)/f - -27. What is the remainder when 57 is divided by (n/(-10))/(5/(-25))?
9
Calculate the remainder when 1200 is divided by (-43)/(-9 + 153/18).
82
Let x(m) = -4*m. Let f be x(-1). Suppose -3*r + 0 = -4*n - 1, 27 = r + f*n. Let i = r + 44. Calculate the remainder when i is divided by 18.
15
Let g = 1 - -24. Let w(k) = -k**2 - 3 + 2*k**3 - 2*k + 6 - k**2. Calculate the remainder when g is divided by w(2).
4
Let u = -16 + 22. Suppose u*q - 5*q = 22. Suppose -5*i + 341 = 4*v - 93, 2*i + v = 173. Calculate the remainder when i is divided by q.
20
Let z(h) = -4*h - 23. Let l(p) = -36*p - 208. Let r(n) = -3*l(n) + 28*z(n). Calculate the remainder when r(-8) is divided by 4.
0
Let y(x) = 2*x**3 - 36*x**2 - x + 147. What is the remainder when 384 is divided by y(18)?
126
Let h(c) = -c**3 + 11*c**2 - 16*c + 15. Let v be h(9). Suppose v + 597 = 5*f. What is the remainder when f is divided by 32?
30
Let l = 20 + 44. Calculate the remainder when l is divided by 12/20*(-15 + 70).
31
Suppose 3*n = 86 + 85. Calculate the remainder when 169 is divided by n.
55
Let f(d) = d**3 - 9*d**2 - 2*d + 21. Let h be f(9). Let m be (2 + 15/(-9))*h. Let n = 13 - m. Calculate the remainder when 45 is divided by n.
9
Suppose -i = 2*z - 57, -3*z + 80 = -0*z - 4*i. Suppose -5*d - z = -98. Calculate the remainder when d is divided by 6.
2
Let k = 95 + -60. Suppose -52*t = -57*t + k. Calculate the remainder when 25 is divided by t.
4
What is the remainder when 3 + 22059/63 + (-3)/21 is divided by 71?
69
Let d(q) = 6*q**2 - 64*q + 7. What is the remainder when d(11) is divided by 16?
13
Let c = 4 - -69. Suppose -2*w = -c - 9. Suppose 0 = -3*x + 15 + 18. What is the remainder when w is divided by x?
8
Let x(f) be the first derivative of f**4/4 + 4*f**3/3 + f**2 - 6*f + 1. Let u be x(-3). What is the remainder when 1 is divided by 1/(((-6)/2)/u)?
0
Let f = -39 + 3. Let b be (-14)/(-8) + 3/12. Calculate the remainder when b/(0 + 2) - f is divided by 13.
11
Suppose b + d = 33, 5*b = -