culate the remainder when g is divided by c.
9
Suppose -m = 5*p + 4, 8 = 3*m + 2*p - 7*p. Calculate the remainder when 1 is divided by m.
0
Let l(d) = -4*d**3 + 11*d**2 + 40*d - 4. Calculate the remainder when 180 is divided by l(-3).
14
Suppose -4*a - 21 = 95. Let w = a - -36. Calculate the remainder when 18 is divided by w.
4
Let k be (632/6)/(5/15). Suppose 3*b + 59 = h, h + 4*b = -3*h + k. What is the remainder when h is divided by 19?
17
Suppose -4*q + 2*p = 4*p + 50, -q + p = 17. Let x = q - -27. Calculate the remainder when 51 is divided by x.
12
Let z = 1 - 1. Let m(x) = 3*x**2 + 8*x + 64. Let q be m(-12). Suppose z = -5*u + q - 70. What is the remainder when u is divided by 17?
15
Let n(z) = 15*z - 1. Suppose 0 = 4*l - 4*k - 32, 4*k = 2*l - 6*l + 8. What is the remainder when n(1) is divided by l?
4
Let o = 886 + -855. What is the remainder when 370 is divided by o?
29
Let v = -35 + 69. Calculate the remainder when v is divided by 13.
8
Let p(c) = 31*c - 142. Calculate the remainder when 102 is divided by p(5).
11
Let c = 6 - 6. Suppose c*t + 66 = 3*t. Let a(q) = -q**2 + 13*q. What is the remainder when a(7) is divided by t?
20
Let t = 32 - -108. Suppose -4*q = 20 - t. Suppose -4*g + 3*h = -q, 3*g + 5*h - 10 = -2. Calculate the remainder when 13 is divided by g.
1
Suppose 3*i - 6*i + 5*o = -120, -5*i + 5*o = -210. Suppose 0 = 8*m - 9*m + i. Let h(q) = -7*q - 5. Calculate the remainder when m is divided by h(-4).
22
Let o(i) = 6*i**2 + 44*i - 5. What is the remainder when o(-8) is divided by 6?
3
Suppose 4650 = 19*t - 5496. What is the remainder when t is divided by 27?
21
Suppose d + 46 = 5*o, 0 = 3*o + 4*d - 6 - 17. Calculate the remainder when 2/o - (-906)/54 is divided by 5.
2
Suppose -29*f = -8*f - 1575. Calculate the remainder when f is divided by 38.
37
Let k(u) = 4*u**2 - 11*u - 6. Let g be k(6). Let x = -41 + g. What is the remainder when x is divided by 8?
7
Suppose -4*d + 9 = -d. Let g(b) = b**2 - 2*b + 4. What is the remainder when (80/64)/(5/80) is divided by g(d)?
6
Let w(b) = 6*b - 11 + b**2 + 3*b**2 - 3*b**2. Suppose 0 = -2*d + 28 + 14. What is the remainder when w(-12) is divided by d?
19
Let i(t) = t**2 + 2*t + 108. Calculate the remainder when i(0) is divided by 11.
9
Let l(m) = 4*m**2 + 5*m + 9. Let c be l(5). Suppose 4*x + x + 140 = 4*r, 4*x - c = -5*r. What is the remainder when r is divided by 14?
2
Let z(y) = y**3 + 20*y**2 - y - 8. Calculate the remainder when 359 is divided by z(-20).
11
Suppose -29 = -2*p - 37. Let f(x) = -x**3 - 4*x**2 - 4*x - 2. Calculate the remainder when 54 is divided by f(p).
12
Let b(n) = 5*n + 4. Let p be b(-1). Calculate the remainder when (19/2)/(6/12) is divided by (0 + 3 - 8)/p.
4
Suppose 2*u + 2*u = -5*r + 1352, -3*u - 5*r = -1014. Calculate the remainder when u is divided by 17.
15
Let n = 378 - 335. Calculate the remainder when n is divided by 11.
10
Let v = -17 + 28. Suppose 1939*q - 30 = 1936*q. Calculate the remainder when v is divided by q.
1
Let n = -16 + 23. Suppose -9*k + 2*g = -8*k + 3, 5 = 3*k + g. Suppose 2*b - n = -k. Calculate the remainder when 9 is divided by b.
0
Let u(q) = 2*q**3 + 30*q**2 - 56*q - 368. Suppose -t - 5*z - 92 = -5*t, z = 5*t - 94. What is the remainder when t is divided by u(-16)?
2
Let r(o) = 5*o**2 + 6*o + 4. Let f be r(-8). Suppose -f = -z - 2*z. Calculate the remainder when z is divided by 19.
16
Suppose -5*o + 35 = -0. Suppose -d + 1 = 4. What is the remainder when o is divided by (0 - 3/5)/(d/15)?
1
Let d(o) = 2*o + 1. What is the remainder when d(5) is divided by ((-4)/(-2) - 1) + 54/9?
4
What is the remainder when 31824/273 - (-8)/(-14) is divided by 12?
8
Let t be -6*(18/2)/(-1). Suppose 0 = 5*q - 2*j - 151, 3*j + t = 2*q - j. What is the remainder when q is divided by 20?
11
Suppose 4*h + n - 6*n = -3, -13 = 4*h + 5*n. Let l(y) = 3*y**2 + 5*y - 1. Let x be l(-4). Calculate the remainder when h + x + (-28)/(-7) is divided by 10.
9
What is the remainder when 1/(6*(-7)/(-6762)) is divided by 33?
29
Let a = -25 - -18. Let l = a - -16. Calculate the remainder when 47 is divided by 102/l - (-16)/(-12).
7
Let t = -1 - -4. Suppose -5*b + 5*g + 18 + 12 = 0, -b - 2*g - t = 0. Suppose -5*v + 8*v - 15 = 0, -6 = -w - v. What is the remainder when b is divided by w?
0
Let i = 20 - 11. Let z(d) = -d**3 - 9*d**2 + 4*d - 14. Let m be z(-10). Let u = m + -30. What is the remainder when u is divided by i?
7
Let q = -31 + 46. Let x = 22 - q. What is the remainder when 18 is divided by x?
4
Suppose 963 = 33*v - 93. What is the remainder when v is divided by 5?
2
Suppose -284*c - 957 = -287*c. What is the remainder when c is divided by 36?
31
Let a = 19 + -17. Suppose 0 = -5*w - 16 - 4. Calculate the remainder when a is divided by 3 + 4/(w/2).
0
Suppose 14*m - 10*m + 568 = 0. Let z = m + 315. Calculate the remainder when z is divided by 58.
57
Suppose 102*q = 108*q - 324. Calculate the remainder when 141 is divided by q.
33
Let t be 62/(-12) + (-4)/(-24). Let c = t + -5. What is the remainder when 85 is divided by 2*(-145)/c*1?
27
Suppose -3*k + 3*r = 66, -r - 27 = k - 1. Let u(a) = a**3 - 5*a**2 + 5*a - 5. Calculate the remainder when u(5) is divided by (-2)/6 + (-200)/k.
4
Let u = 110 + -98. Let x(w) = w + 7. Let v be x(-5). Suppose -2*h + 5*r + 90 = 0, v*r - 8 = 4*r. Calculate the remainder when h is divided by u.
11
What is the remainder when 30875/390 + (-1)/6 is divided by 48?
31
Let s be (-2)/13 - (-576)/26. Suppose -5*d + 28 = -s. Suppose 3*y = 5*w - 33, w = 2*w - 4*y - d. Calculate the remainder when w is divided by 4.
2
Let x be -2 + -2 + 2 + -33. Let l be (x + -2 + 3)/(-2). Suppose 2*v - 87 = -l. What is the remainder when v is divided by 19?
16
Suppose -4*z - 5*m = -66, -z + 8 - 2 = -4*m. Calculate the remainder when 152 is divided by z.
12
Let i = -88 + 111. Calculate the remainder when 111 is divided by i.
19
Let m be 6/(((-10)/15)/((-4)/9)). Suppose 2*z + 43 = 3*z + 2*i, 0 = 4*z + m*i - 176. Calculate the remainder when 176 is divided by z.
41
Suppose 3*t - 39 = -9. Let v = 11 - 4. Let z = t - v. What is the remainder when 9 is divided by z?
0
Suppose -4*b - w = -3, 5*w + 21 = -2*b - 0*b. Suppose 7*x + b*x - 783 = 0. Calculate the remainder when x is divided by 44.
43
Let q = -9 - -9. Calculate the remainder when 73 is divided by (q/(-3) - -3) + 35.
35
Suppose -3*j - 4*y = 7, 2*j + 2*y - 14 = 4*y. What is the remainder when (-1 - 4680/(-25)) + j/(-15) is divided by 17?
16
Let a(s) = 17*s + 11. Let k(f) = f + 1. Let g(m) = -2*a(m) + 14*k(m). Calculate the remainder when 22 is divided by g(-1).
10
What is the remainder when 163 is divided by (-6402)/(-143) - (-6)/26?
28
Calculate the remainder when 393 is divided by 29610/77 + (-36)/66.
9
Let j = 163 + -87. Suppose -4*i - 3*b = -7*i + 120, -2*i + b = -79. Calculate the remainder when j is divided by i.
37
Let j(z) = 8*z - 2. Suppose 3 = -4*g + 19. What is the remainder when 58 is divided by j(g)?
28
Suppose 5*d - 3*i = 2158, 2*d + i - 1740 = -2*d. Calculate the remainder when d is divided by 23.
20
Suppose -3*v + 0*v + 183 = 3*c, -3*c + 297 = 5*v. What is the remainder when ((0 - 4)/(-4))/(1/v) is divided by 15?
12
Let q(r) = -8*r**2 - 9*r**2 - 7*r**2 - 3*r - r**3 - 3 + 23*r**2. What is the remainder when q(-4) is divided by 12?
9
Suppose -15 = -29*p + 24*p. Suppose -5*x = -9 - 6. What is the remainder when x is divided by p?
0
Suppose 0 = 2*u - 8*u + 1590. What is the remainder when u is divided by 67?
64
Suppose 3*o = -12 + 30. Let t(m) = m**3 + 8*m**2 - 2*m + 6. Let a be t(-7). Suppose -2*r + 73 = a. Calculate the remainder when o is divided by r.
0
Let y(c) = 3*c. Let s = 16 + -16. Suppose -61 = -w - s*w. Calculate the remainder when w is divided by y(7).
19
Let q = 585 - 540. Calculate the remainder when 80 is divided by q.
35
Suppose 5*o = -156 + 776. Calculate the remainder when o is divided by 22.
14
Suppose 20*f - 15*f = 0. Suppose 4*q - 3*y - 88 = y, f = q - 3*y - 28. What is the remainder when 33 + (2 + -2 - -3) is divided by q?
17
Suppose 420 = -12*q + 32*q. Calculate the remainder when 58 is divided by q.
16
Let d = 525 + -394. Calculate the remainder when d is divided by 17.
12
Suppose -5*h - 54 = -5*j + 3*j, -5*j + 106 = 2*h. What is the remainder when ((-30)/25)/((-6)/320) i