123. Calculate the remainder when r is divided by 19.
18
Suppose -q - 1 = 5*g + 15, 5*q = g + 50. Let u(j) = j - 1. Let a be u(0). Let c = a - -17. Calculate the remainder when c is divided by q.
7
Suppose -4*w + 5*s + 128 = 0, w = -3*w - 4*s + 128. Let a = 51 - w. Calculate the remainder when a is divided by 7.
5
Let n(q) be the third derivative of -q**6/120 + q**5/12 - q**4/12 + q**2. Let a = 22 - 8. Calculate the remainder when a is divided by n(4).
6
Let j(x) = x**3 - 9*x**2 + 15*x - 4. Let m(w) = w**3 + 9*w**2 - 9*w + 13. What is the remainder when j(7) is divided by m(-10)?
0
Suppose -22 = r - 7. What is the remainder when 2/6 - 340/r is divided by 12?
11
Let k be 0/(-2)*(-1)/(-2). Suppose d - 6*d + 65 = k. Suppose 3 = 3*a - l - 13, 2*l + 12 = 2*a. Calculate the remainder when d is divided by a.
3
Suppose -4*a + 2 = -10. Suppose 4*n - 37 = -a*i, n + n - 57 = -5*i. Calculate the remainder when 43 is divided by i.
10
Calculate the remainder when 26 is divided by (9/(-2))/((-9)/18).
8
Let v be 12/16*-2*-2. Suppose 3*t + v = 4*t. Calculate the remainder when 9 is divided by t.
0
Let u = 56 + -23. What is the remainder when u is divided by ((-1)/3)/1*-27?
6
Calculate the remainder when (203/(-28))/((-3)/24) is divided by 10.
8
Suppose 5*g = 25, 2*o + 0*g - 2*g = 20. What is the remainder when 70 is divided by o?
10
Suppose u - 137 = -20. What is the remainder when (-73)/(-3) + 1/(-3) is divided by (-4)/(-6)*u/6?
11
Suppose 10 = b - 0*b. Let r be 2/b + (-76)/(-20). Calculate the remainder when (r/6)/((-5)/(-90)) is divided by 7.
5
Let u be (10/8)/(3/12). Let m = u - 25. Calculate the remainder when -3*m/6 + 1 is divided by 6.
5
What is the remainder when 6 - (-2 + (-6)/(-3)) is divided by 8/6*3/2?
0
Let t = 75 + -53. What is the remainder when 41 is divided by t?
19
Let h be (0 + 3)/(9/132). Suppose 5*s - h = s. Suppose 5*k + 3*c = 20, -5*c + 10*c = -2*k + 8. What is the remainder when s is divided by k?
3
Let n(r) = r**2 - 5*r + 4. Let h be n(5). Suppose s + 4*s = 3*w - 41, -h*s = -w + 2. Let p = 20 + -8. Calculate the remainder when w is divided by p.
10
Suppose -3*g = -0*g + 3*j - 153, -5*g - 2*j = -264. Calculate the remainder when g is divided by 14.
12
Let k = 47 + -11. Calculate the remainder when k is divided by 19.
17
Let p(d) = 3*d**2 - 6*d + 5. What is the remainder when p(4) is divided by 8?
5
Let v(d) = d**3 + 2*d**2 - 3*d + 2. Let a be v(-3). Suppose 3*j - a*j - 2 = 0. What is the remainder when 8 is divided by 14/j + -1*2?
3
Let z(j) = -j**2 + 9*j - 15. What is the remainder when z(5) is divided by 4?
1
Let y = -77 + 87. What is the remainder when 15 is divided by y?
5
Let t = -84 + 115. Suppose -2*a + 20 = -14. What is the remainder when t is divided by a?
14
Suppose -l - 2*y = l - 8, 4*l = -5*y + 11. Calculate the remainder when 35 is divided by l.
8
Suppose -65 = -j + 3*n, 0 = 3*j + j + n - 273. Suppose -2*l - j = -5*k + 2*k, -3*k - 5*l = -82. Calculate the remainder when k is divided by 9.
6
Let z = -111 + 115. What is the remainder when 19 is divided by z?
3
Let i(p) = 6*p**2 + 6*p + 2. What is the remainder when 65 is divided by i(-2)?
9
Suppose -7*c - 9 = 2*v - 2*c, 0 = 3*c + 9. Suppose -v*l = -14 - 7. What is the remainder when 27 is divided by l?
6
Let c(h) = -29*h**3 - 2*h**2 - 2*h - 1. Suppose 0*n = -n + 3. Suppose -51 = -3*d + n*z, -2*d - 5*z + 5 = -d. What is the remainder when c(-1) is divided by d?
13
Suppose 6*c = -0*c + 96. Calculate the remainder when 44 is divided by c.
12
Suppose -28 = -0*i - i. Suppose 0*d - 4*d + i = -3*c, -35 = -5*d + c. Calculate the remainder when 26 is divided by d.
5
Suppose -41*d = -43*d + 32. Calculate the remainder when 94 is divided by d.
14
Let n = -2 - -105. What is the remainder when n is divided by 26?
25
Suppose 123 = 4*h + 23. Suppose 4*u = -4*s + 12, 4*s - h = -s + 5*u. Suppose b = -s*b + 75. Calculate the remainder when 43 is divided by b.
13
Let n = 28 - -5. Calculate the remainder when n is divided by (-6)/(-9) + 25/3.
6
Suppose g - 7 = -3*f, -5*g - 36 = -5*f - 11. Suppose -8*h - 10 = -f*h. Calculate the remainder when 12 is divided by -21*h*(-2)/(-12).
5
Let y = -3 + 17. What is the remainder when 2/(-7) + 550/14 is divided by y?
11
What is the remainder when 17 is divided by (-3)/3*63/(-7)?
8
Let x = 0 + 1. Suppose -2*g = s + x, -2*s - g - g = 4. Calculate the remainder when 29 is divided by (3*(s + -2))/(-1).
14
Let n(r) = r**2 + 21*r - 8. What is the remainder when n(-23) is divided by 20?
18
Suppose -2*d + 51 = 3*g + 4, 129 = 4*d - g. Let o = d + -5. Calculate the remainder when o is divided by 14.
12
Let x = -3 + 6. Let s = 18 + -16. Suppose 1 = -2*g + x*d - s, 5*g = -d + 35. Calculate the remainder when g is divided by 2.
0
Let d(l) = -2*l + 1. What is the remainder when 32 is divided by d(-5)?
10
Calculate the remainder when 12 is divided by (-8 + 12)*2/8.
0
Let n = -13 - -23. Suppose 156 = 11*d - 8*d. Suppose 5*m = d + 43. Calculate the remainder when m is divided by n.
9
Suppose 8 = 4*i - 0. Let z(r) = r**3 - 4*r**2 + 3*r. Let a be z(i). Let n(v) = 2*v**2 + 2*v. Calculate the remainder when 11 is divided by n(a).
3
Let r = -3 + 6. Suppose 2*c = -4*x + 28, -2*x - 4*c + 5 = -r. Calculate the remainder when 14 is divided by x.
6
Suppose 4*c - 41 - 3 = 0. Let b be (-8)/20 - 218/5. Let z = 75 + b. What is the remainder when z is divided by c?
9
Let z be (4 + -2)*62/(-4). Let f = z - -48. Let j = -92 + 142. Calculate the remainder when j is divided by f.
16
Suppose 5*v + y = 12 + 8, -5 = -y. What is the remainder when 9 is divided by v?
0
Let f be ((-33)/2)/(18/(-48)). Suppose 0 = -h - 2, -4*m + f + 38 = -h. What is the remainder when 57 is divided by m?
17
Let u be (-6)/(-2) + 1 + 0. Suppose 0 = -u*q - 58 + 158. Calculate the remainder when q is divided by 13.
12
Let s be 0 - 1/((-1)/(-4)). Suppose i = -2*x + 74, 278 = 4*i - 4*x + 6*x. What is the remainder when i/s*(-1)/1 is divided by 6?
5
Suppose -j + 3 + 1 = 0. Suppose -5*l - 10 = -2*y - 6*l, 2*y = j*l - 10. Calculate the remainder when 9 is divided by y.
0
What is the remainder when (-290)/(-6) + 25/(-75) is divided by (-2)/(-6)*25*3?
23
Suppose s + 30 = -6. Let u = -25 - s. What is the remainder when 30 is divided by u?
8
Let h(a) be the second derivative of a**5/20 - a**4/6 + a**3/3 + a**2 + 3*a. Calculate the remainder when h(2) is divided by 3.
0
Let q = 155 + -93. What is the remainder when q is divided by 16?
14
Let g(o) = o**2 + 4*o + 1. Let v be g(-4). Suppose 0*h + 5*h - 41 = 2*f, -2*f = h - 1. What is the remainder when 1 + -1 - (-20)/v is divided by h?
6
Let s(c) = -c - 10. Let j be s(-8). Let v = j - -2. Calculate the remainder when 5 is divided by 4 - (0 + v + 2).
1
Let d = 0 - -2. Let b(i) = i**3 + 10*i**2 + 4*i - 10. Calculate the remainder when b(-9) is divided by (-1)/d + 19/2.
8
What is the remainder when 5 + -3 - (-60)/1 is divided by 32?
30
Calculate the remainder when 780/24 + 1/(-2) is divided by 14.
4
Suppose y - 3 = 7. Calculate the remainder when y is divided by 8.
2
Let k(l) = -3*l + 20. Let c be k(6). Suppose -4*g = -3*g - 3*q, 0 = -4*g + c*q + 40. What is the remainder when 21 is divided by g?
9
Suppose 3*i - i + 2*l = -138, -3*i - 5*l = 209. Let q = -42 - i. Calculate the remainder when 77 is divided by q.
25
Let c(n) = 2*n**2 + 5*n + 2. What is the remainder when c(-7) is divided by 23?
19
Suppose 5*q - 3*d + 2*d = 150, 0 = -q + 2*d + 21. Suppose -15 = x + 4*x. What is the remainder when q is divided by -4*(-12)/((-9)/x)?
15
Suppose -347 = -8*l + 885. What is the remainder when l is divided by 39?
37
Let o be (-21)/(-4)*(-16)/(-6). Suppose o = 2*y + 4. Suppose -2*f + u = -4*f + 35, y*f = -4*u + 89. What is the remainder when 33 is divided by f?
16
Suppose 5*m = -2*z + 627, m + 2*m = -5*z + 380. What is the remainder when m is divided by 26?
21
Let k(z) = -z**2 + 12*z - 21. Calculate the remainder when 23 is divided by k(9).
5
Suppose -2*u - 18 = -4*u. Calculate the remainder when u is divided by -2*(2 - 5) - 0.
3
Let f(g) be the second derivative of -g**3/6 + 5*g**2/2 - 3*g. Let p be (-6 + 0)*12/18. Calculate the remainder when 34 is divided by f(p).
7
Let z be (-3)/((-222)/(-76) + -3). Calculate the remainder when z/2 + (3 - 1) is divided by 11.
10
Let b(q) = -q**3 + 3*q**2 + 