g).
0
Suppose -65 = -5*p + 145. Let c = -72 + p. Let a = c + 62. Calculate the remainder when a is divided by 11.
10
Suppose -16 = 5*b - 56. What is the remainder when b is divided by 5?
3
Let z(k) = -k**3 + 6*k**2 - 5*k + 3. Let g be z(5). Suppose 0 = -g*f + 9 + 33. What is the remainder when 54 is divided by f?
12
Let p = -3 + 45. Suppose o + 67 = 3*f, -o = 4*f - 2*o - 89. What is the remainder when p is divided by f?
20
Let y(t) = 3*t**2 + 7*t + 1. What is the remainder when y(-7) is divided by 17?
14
Let l(g) = -g**3 - 4*g**2 + 2. Let c be l(-4). Suppose -5*z + 6 = -c*z. What is the remainder when (20/14)/(z/14) is divided by 6?
4
Suppose -12 = -3*h - 0*h. Suppose u - 6 = 2*o, 3*o + h = 7*o. What is the remainder when 15 is divided by u?
7
Let j = -27 + 16. Let v = j + 42. What is the remainder when v is divided by 11?
9
Suppose -2*l - 4*z = 8, 5*l - z = -6*z. Suppose -5*s + 43 = o, -l*o + o = -9. Calculate the remainder when 14 is divided by s.
6
Suppose 4*d = 2*s - 106, 4*d - 179 = -0*s - 3*s. Calculate the remainder when s is divided by 20.
17
Let b be (-110)/(-25) + (-2)/5. Suppose -b*d = -63 - 113. Suppose -2*y = -m - 40, 4*y = -5*m + 8 + d. Calculate the remainder when 34 is divided by y.
16
Let x = 94 + -72. Calculate the remainder when 63 is divided by x.
19
Suppose 0*n + 2*n = 4*l - 44, -4*n + 16 = 0. Let r = l + -9. Suppose 2*f + o - 22 = -2*o, 0 = 3*f - r*o + 1. Calculate the remainder when 14 is divided by f.
4
Suppose -4*s + 2*r - 5*r = -47, -5*r + 5 = 0. What is the remainder when 26 is divided by s?
4
Let b = -6 + 13. Let k(f) = -f**2 + 10*f + 3. Calculate the remainder when k(9) is divided by b.
5
Let n = 15 + 29. Suppose 0 = 3*k + 15, 3*k - 5*k - 56 = -2*g. What is the remainder when n is divided by g?
21
Let n(f) = -2*f - 4. Let i be n(-5). Suppose -2*d + i = -0. Suppose -6 = -d*v + 3. What is the remainder when 4 is divided by v?
1
Let z(d) = 3*d - 46. Calculate the remainder when 29 is divided by z(19).
7
Let s = 55 + -7. Suppose -4*g - 2*k = -106, 2*g - 3*k = k + s. What is the remainder when g is divided by 7?
5
Let v = -37 + 46. What is the remainder when v is divided by 5?
4
Let k(f) = -f**2 + 9*f + 19. What is the remainder when 41 is divided by k(10)?
5
Let x be ((-8)/(-10))/((-2)/(-5)). Let o(c) = c - 16. What is the remainder when o(25) is divided by (-15)/x*(-2)/3?
4
Let x(b) = -6*b - 27. What is the remainder when 59 is divided by x(-8)?
17
Let s(p) = -23*p - 29*p + 1 + 16*p. Let d(f) = f**3 + f**2 + 2*f + 1. Let r be d(-1). Calculate the remainder when s(r) is divided by 13.
11
Let n = -41 + 66. What is the remainder when n is divided by 7?
4
Suppose 0*y + 3*y = 36. Let o(v) = -23*v**3 + v**2 - 1. Let p(b) = b - 3. Let n be p(2). What is the remainder when o(n) is divided by y?
11
Calculate the remainder when 59 is divided by (4 + -8)/(1/(-5)).
19
Let h be 0 + (74 - 0)/2. Let g = 67 - h. What is the remainder when g is divided by 8?
6
Calculate the remainder when (4 - (-120)/(-25))/(2/(-170)) is divided by 18.
14
Let j(h) = -h + 3. Let w = 0 - 0. Let s be j(w). Suppose -3*b - 2*b - 2*x = -38, s*x + 35 = 4*b. Calculate the remainder when 15 is divided by b.
7
Let q = -9 - -14. Suppose -2*o = -q*o + 6. Suppose -5*d - o*u = -161, 1 = -5*d - 4*u + 168. What is the remainder when d is divided by 11?
9
Suppose 3*f = 98 + 49. Let q(u) = -u**3 - 6*u**2 - 3*u + 2. Let p be q(-6). Let l = -3 + p. What is the remainder when f is divided by l?
15
Suppose -3 + 5 = -2*u. What is the remainder when 26 is divided by (-1 - -2)/(u/(-9))?
8
Let v(t) = 36*t**2. What is the remainder when v(1) is divided by 10?
6
Let s(a) be the first derivative of -7*a + 5/2*a**2 - 3. Calculate the remainder when s(7) is divided by 10.
8
Suppose 3*c = 2*i + 121, 4*c - 119 = c + 4*i. What is the remainder when c is divided by 14?
13
Suppose 0 = -r + 5*d + 30, 27 = -r + 2*r - 4*d. Suppose -b + 42 + 1 = 0. What is the remainder when b is divided by r?
13
Let w(z) = -3*z**3 - z + 4. Let q be w(-3). Suppose u + 3*u = q. Let o(c) = c**3 - 6*c**2 - c + 1. What is the remainder when o(7) is divided by u?
21
Let h = 8 - -21. What is the remainder when 84 is divided by h?
26
Suppose 0 = 3*x - 36 - 6. What is the remainder when -1*3 - (-3 + -27 + 0) is divided by x?
13
Let x be ((-26)/4)/((-1)/(-98)). Let m = 963 + x. Suppose -m + 136 = -5*t. Calculate the remainder when t is divided by 13.
12
Let l be (-1)/4 - 21/(-4). Suppose 41 = n + l*t, -4*n - 3*t = n - 139. Let d = 300 - 291. What is the remainder when n is divided by d?
8
Let d be -1 - (4 + -2)*-1. Let n = 6 - d. What is the remainder when 24 is divided by n?
4
Let q(m) = -3*m - 19. Let u be 2/(0 - 4/14). Calculate the remainder when q(-14) is divided by u*2*(-12)/14.
11
Suppose 0 = 4*m - 2*m + 2*o - 70, m + 2*o - 40 = 0. Calculate the remainder when m is divided by 16.
14
Let n = -45 + 58. Suppose 2*l + 3*l + d - 253 = 0, 5*d = -10. What is the remainder when l is divided by n?
12
Let f = -38 + 57. What is the remainder when 55 is divided by f?
17
Suppose 2*p - 28 - 13 = -3*t, 2*p = 4*t + 6. Suppose 11*n - 304 = 257. Calculate the remainder when n is divided by p.
12
Let c = 104 - 71. Let s(u) = -u**2 + 11*u - 1. What is the remainder when c is divided by s(9)?
16
Suppose 0 = 3*g - 0*g + 3. What is the remainder when g - (-2)/4*58 is divided by 10?
8
Let x = 5 - 11. Calculate the remainder when (-27)/(-2) + x/12 is divided by 4.
1
Suppose 6*j = 311 + 61. Calculate the remainder when j is divided by 11.
7
Let h = -9 - -21. Suppose -3*d - 5*g = -33, 14 + 7 = 3*d + g. Suppose -2*x = d*k - 3*k - 98, 94 = 3*k + 4*x. Calculate the remainder when k is divided by h.
10
Suppose -m + 32 = -13. Suppose -74 = -4*u + 5*o, -3*u + 4*u - 8 = -4*o. What is the remainder when m is divided by u?
13
Suppose 3*l - 380 = -u, 2*l + 4*u - 2*u = 260. Suppose 0 = t + 4*t - l. What is the remainder when t is divided by 14?
11
Suppose -2*o - o + 39 = 0. Calculate the remainder when (-28)/(-35) - (-372)/10 is divided by o.
12
Calculate the remainder when 8 is divided by (-18)/(-24) - 15/(-12).
0
Let a(h) = 11*h**2 - 2*h - 1. Suppose -5*s - 164 = 4*p, 0*s + 4*s + 133 = -5*p. Calculate the remainder when (1 - s)*4/6 is divided by a(-1).
10
Let v = -7 - 2. Let f = 18 + v. What is the remainder when f is divided by 6?
3
Let u = 2 - 8. Let n be 1/((-9)/u)*9. What is the remainder when 9 is divided by 5/(2/n*3)?
4
What is the remainder when (-11)/(-2) - 12/(-8) is divided by 3?
1
Let b be 2/3*(-15)/(-10). Suppose 4*l = g - b + 25, 30 = 5*l + 5*g. What is the remainder when 9 is divided by l?
3
Suppose 0 = -4*b + 50 + 2. Let x(z) = z**3 + z**2 - z + 7. What is the remainder when b is divided by x(0)?
6
Let v = 0 - 0. Suppose 14 - 40 = -2*s + z, -2*z + 4 = v. Suppose d - 2*d + 113 = 4*n, 0 = -3*n - 5*d + 106. What is the remainder when n is divided by s?
13
Let n = 49 - 25. Suppose z = n + 10. Calculate the remainder when z is divided by 12.
10
Suppose -4*z = -8*z + 4, -h = -4*z + 3. What is the remainder when 4 is divided by h?
0
Let w be (-14)/(-63) - (-86)/18. Calculate the remainder when w*(2 - -12 - 3) is divided by 19.
17
Let d(k) = -14*k**3 - k**2 - k. Let i be d(-1). Let w = i - 9. Suppose -2*x = -6*x - 2*a + 42, -4*a = -3*x + 4. What is the remainder when x is divided by w?
3
Let i(p) = p**3 + 3*p**2 - 5*p + 2. Let o = 15 + -7. Let s = 30 - o. What is the remainder when s is divided by i(-4)?
4
Suppose 5*l = 39 + 96. Calculate the remainder when l is divided by 4.
3
Let z = 12 - 4. Let q = z + -25. Let y = q + 40. What is the remainder when 44 is divided by y?
21
Let n(w) be the third derivative of 1/3*w**3 + 0 + 0*w - 5/24*w**4 - 4*w**2 - 1/12*w**5 - 1/60*w**6. What is the remainder when n(-4) is divided by 24?
22
Let m = -3 + 1. Suppose 2*n - 4*n + 48 = 0. What is the remainder when n is divided by (-4 - 9)/(1 + m)?
11
Let y = 5 - -26. Calculate the remainder when 122 is divided by y.
29
Suppose 4*p = -4, -2*m + p = -0*m - 47. Calculate the remainder when m is divided by 14.
9
Let m(g) = -17*g - 5. Calculate the remainder when 111 is divided by m(-2).
24
What is the remainder when -1 + (2 - 4) + 58 is divided by 14?
13
Suppose -3*s = -4*k + s + 168, 0 = -4*k - 2*s + 174. What is the remainder when k is divided by 22?
2