ate the remainder when 83 is divided by a.
20
Suppose y + 15 = 53. Let f(g) = 3*g**2 - g + 0*g**2 - 2*g**2 + y. Calculate the remainder when f(0) is divided by 13.
12
Suppose 5*m - 127 - 18 = 0. Suppose 4*o + 5*g - m = 0, 3*o - 9 = o + 3*g. What is the remainder when 16 is divided by o?
4
Suppose 5*t + 2*z + 5 = 6*t, 8 = -2*z. Let l be 1 + 1/(-2 - t). Suppose -w = l*w - 108. What is the remainder when w is divided by 19?
17
Suppose 0 = -t - 4*c - 6, t + 3*c - 4 = -8. Calculate the remainder when 12/15*10/4 is divided by t.
0
Let g = 12 + -13. Let n(j) = -26*j**3 + j**2 - 1. Suppose -3*i - i + 56 = 0. What is the remainder when n(g) is divided by i?
12
Calculate the remainder when 1/(1/(0 + (54 - -1))) is divided by (-18)/(-4)*6 + 1.
27
Suppose 2*a - 5*n + 38 = 3*a, 4*n + 219 = 5*a. Calculate the remainder when a is divided by 9.
7
Let g(i) = -i**3 - 9*i**2 - 5*i - 6. Let r(u) = 4*u - 1. Let w be r(-2). What is the remainder when g(w) is divided by 21?
18
Calculate the remainder when (-3)/6*2 + 1*12 is divided by 4.
3
Let o(z) = 216*z**2 - 3*z + 2. What is the remainder when o(1) is divided by 36?
35
Let b = -4 - -7. Suppose -4*d - 95 = -5*r, -d - 55 = -b*r + d. Let z = 17 - 9. What is the remainder when r is divided by z?
7
Calculate the remainder when (156/4)/((-6)/(-4)) is divided by 15.
11
Let b(s) = -s**2 - 5*s + 4. Suppose -5*j + 3*j - 2 = -2*o, 0 = -5*j - 5*o + 15. Calculate the remainder when b(-5) is divided by (j/3)/((-1)/(-6)).
0
Let l = -4 - -3. Let w = 7 + -6. Calculate the remainder when -4*l/(0 + 2) is divided by w.
0
Suppose 2*x - 16 - 14 = 3*a, -a + 4 = 0. What is the remainder when 165 is divided by x?
18
Suppose 0*q - 2*q = 4*h - 118, 3*h - 5*q - 56 = 0. Calculate the remainder when h is divided by 14.
13
Let v(x) = -2*x - 9. Calculate the remainder when v(-10) is divided by 3.
2
Let h = 32 + -23. Suppose z = 6*z - 30. What is the remainder when h is divided by z?
3
Suppose 0 = -2*q - l + 84, 0 = 4*q - 2*q - l - 88. What is the remainder when q is divided by 11?
10
Let g(u) = u**2 - 1. Let p be g(-2). Suppose 8 = p*z - 4. Calculate the remainder when 10 is divided by z.
2
Let l be ((-6)/3 + 5)*1. Suppose -l*q - 59 = -359. Suppose -5*h + 25 = -q. Calculate the remainder when h is divided by 9.
7
Let q = 50 + -33. Let g be 2/(((-6)/8)/(-3)). Calculate the remainder when q is divided by (-36)/(-8)*g/6.
5
Let f(w) = 7*w**2 - 2*w + 1. Calculate the remainder when 23 is divided by f(1).
5
Let r(h) = h**3 + 12*h**2 + 8*h - 9. What is the remainder when r(-11) is divided by 10?
4
Suppose 4*n - 3 = -2*g + 21, 8 = 4*n. Calculate the remainder when 63 is divided by g.
7
Let d(c) be the second derivative of 2*c**3/3 + c**2 + c. Let j be (-36)/(-15) - (-4)/(-10). What is the remainder when d(j) is divided by 6?
4
Suppose -3*w + 16 = -14. Calculate the remainder when 79 is divided by w.
9
Suppose 6*s - 8 = 10. Calculate the remainder when 7 is divided by s.
1
Suppose 4*i - 5 - 15 = 0. Suppose 47 = 3*z + w - 2*w, 3*z - 2*w - 43 = 0. Let b = z - 3. What is the remainder when b is divided by i?
4
Suppose 3*v = -v. Suppose 2*y - y - 12 = v. Calculate the remainder when 33 is divided by y.
9
Suppose 0 = -w + 2*o + 10 + 68, o = -5*w + 346. Suppose 0*t + 2*t - w = 0. What is the remainder when (t + (1 - 2))/2 is divided by 9?
8
Suppose -2*d + 1 = -17. Let y = d - 8. What is the remainder when 1 is divided by y?
0
Suppose 2*j = 10, -5*p + 0*j + 150 = -j. What is the remainder when p is divided by 11?
9
Let j(b) = 2*b**2 + b + 2. What is the remainder when j(2) is divided by 3?
0
Let c(s) be the third derivative of -s**6/120 + s**5/10 - s**4/8 - s**3 + 2*s**2. What is the remainder when 13 is divided by c(5)?
1
Let d(x) = x**2 - 5*x + 7. Let f = 9 - 7. Suppose -f*h = -0*h - 76. What is the remainder when h is divided by d(6)?
12
Let v = 1 - 1. Let m = v + -2. What is the remainder when 28 is divided by (-1 - -5)*2 - m?
8
Calculate the remainder when (4/(-5))/(-2*4/460) is divided by 7.
4
Let h(s) = s**2 - 8*s + 10. Let t be h(7). Suppose 0*p = -t*p + 186. What is the remainder when p is divided by (-249)/(-12) + 2/8?
20
Calculate the remainder when 17 is divided by 2/(-7) + (-325)/(-35).
8
Let l(s) = 4*s**3 + 2*s**2 - 3*s + 2. Calculate the remainder when 15 is divided by l(1).
0
Let n = 99 - 83. What is the remainder when 143 is divided by n?
15
Suppose -74 - 41 = -5*h. Let o(i) be the first derivative of i**4/4 + 4*i**3/3 - 7*i**2/2 - 2*i - 2. What is the remainder when h is divided by o(-5)?
7
Suppose 0 = -0*w + 4*w + 16. Let d be (12/15)/(w/(-130)). Let m = d - -3. What is the remainder when m is divided by 10?
9
Let p(h) = 7*h + 6. What is the remainder when 54 is divided by p(2)?
14
Let o(f) = f + 13. Calculate the remainder when 66 is divided by o(4).
15
Suppose 2*h + 0*d = -d + 27, -2*h + 4*d = -2. Let v(m) = -3*m + 19. What is the remainder when h is divided by v(4)?
4
Let c be (2/(-2) - -3)/(-1). What is the remainder when 27 is divided by -15*(1 + c + 0)?
12
Let b(x) = -2*x + 52. Let v(w) = -w + 26. Let o(s) = 4*b(s) - 7*v(s). Let l be (1 - 1) + 0/(-20). What is the remainder when o(l) is divided by 9?
8
Suppose -3*a + 6*a = 3*r + 207, 0 = a - 3*r - 63. What is the remainder when 50 is divided by (-12)/a - 206/(-12)?
16
Suppose 0 = 4*t - s + 53 + 26, -2*t - 3*s - 43 = 0. Let c = -13 - t. Suppose 3*b = -2 + 14. What is the remainder when c is divided by b?
3
Suppose -13 = -0*t - t. Let j(v) = -8*v - 1. What is the remainder when t is divided by j(-1)?
6
Suppose -56 = -14*p + 7*p. Calculate the remainder when 54 is divided by p.
6
Suppose 0 = 5*i - 7*i. Suppose 4*d = -3*z + 48 + 17, d + 3*z - 23 = i. Calculate the remainder when 55 is divided by d.
13
Suppose l + 4 = 4*a, 0 = -3*a + 2*l - l + 2. Suppose 8 = a*f - 3*x - 7, 0 = -4*f - 4*x + 40. What is the remainder when 34 is divided by f?
7
Let y(a) = 18*a - 13. What is the remainder when y(4) is divided by 15?
14
Let p(x) = -3*x**3 + 2*x**3 - 11*x - 2*x + 11*x**2 - 1. Let n be p(10). Let s = 44 + n. What is the remainder when 37 is divided by s?
11
Calculate the remainder when 77 is divided by 42/1 - 1*(-3)/(-1).
38
Calculate the remainder when (1742/(-65))/((-4)/10) is divided by 23.
21
Let d = -4 - -7. Suppose 0 = 2*b - 9 + d. What is the remainder when 7 is divided by b?
1
Suppose -b = -5*a - 315, -4*b - 5 = 15. Let t = -100 - a. What is the remainder when 34 is divided by 2/9 + (-640)/t?
16
Let v = -81 + 138. Let a = v + -36. Suppose 0 = d - 40 - 0. Calculate the remainder when d is divided by a.
19
Calculate the remainder when (7 + -4)*(-40)/(-6) is divided by 9.
2
Suppose 1236 = 5*a + 2*h, -2*a - 5*h + 64 = -422. Suppose 16*y - 12*y = a. Calculate the remainder when y is divided by 21.
20
Let w(h) = h. Let p be w(0). Suppose p = -2*k - k + 51. Calculate the remainder when k is divided by 9.
8
Suppose -4*i - 5*p + 73 = 24, p = 5. Let u be 1 + 0 - (-1 + -2). Suppose 0 = j + x - u, 5*x = i*x. Calculate the remainder when j is divided by 2.
0
Let l(f) = -f**2 - 10*f + 2. Suppose -2*s = 2*y - s + 21, 2*y + 5*s = -25. Calculate the remainder when 2 is divided by l(y).
0
Let o(h) = 4*h**2 - h + 3. Calculate the remainder when o(4) is divided by 16.
15
Let p = 15 + 51. Calculate the remainder when p is divided by (-90)/(-4) - (-1)/2.
20
Suppose 9 = 2*i - 27. Suppose 2*b = 4*b + 2*j - i, 24 = 4*b + j. Suppose -b*y = -y - 104. What is the remainder when y is divided by 14?
12
Let d(z) = -z**2 + 4*z. Suppose -5*r + 3 = w, -5*w - 6 - 8 = -4*r. What is the remainder when (w + 7)*7/5 is divided by d(3)?
1
Let r = 11 + -5. Suppose w - r = -w. Suppose w*v = 24 + 54. What is the remainder when v is divided by 14?
12
Let z(p) = -5*p - 5. Let x be z(-4). Suppose -199 = -4*u - x. Suppose -2*w = 2*w - 2*n - u, -w = -4*n - 8. What is the remainder when 46 is divided by w?
10
Let m = 26 + -15. Let o(q) = -q**3 + m*q**2 + 0*q**2 - 4*q**2 - 5*q. What is the remainder when o(4) is divided by 10?
8
Suppose 7*n - 2*n - 40 = 0. Let o = -6 + 17. Suppose 2*t + 17 + 21 = 2*z, -o = z + 5*t. What is the remainder when z is divided by n?
6
Let i = -17 + 10. Let p = -6 - i. Suppose -3*a + 5 = -p. What is the remainder when 4 is divided by a?
0
Let b(z) = -6*z**2 - 4*z - 2. Let c be b(-2). Let t = -12 - c. Suppose