ivided by 6.
3
Let t(b) = -14*b + 1. Calculate the remainder when t(-5) is divided by 24.
23
Suppose 4*l - 14 - 2 = 0. Suppose b = -5*v - 2, 0*b + 2*b - l*v + 4 = 0. What is the remainder when -6*((-78)/9 - b) is divided by 14?
12
Suppose 6*c - 11 - 7 = 0. Suppose -6*l + 2*l + 75 = 5*i, -c*l + 57 = 3*i. Calculate the remainder when 58 is divided by l.
18
Let o(q) = -5*q + 12. Calculate the remainder when 123 is divided by o(-4).
27
Suppose 0 = 2*h + 5*u - 0*u - 13, -2*u - 6 = 0. Suppose 54 = 4*m + h. Let f = -6 + m. What is the remainder when 7 is divided by f?
3
Suppose 4*b - 175 = 3*p, 2*p - 127 = -b - 2*b. What is the remainder when b is divided by 15?
13
Let i = -4 - -15. Calculate the remainder when i is divided by 7.
4
Let r be -1*26/(-3)*6. Suppose 0*h - r = -h. Let t = -27 - -45. What is the remainder when h is divided by t?
16
Suppose -9 = 3*x, 2*i + 3*x - 21 = -3*i. What is the remainder when 101 is divided by i?
5
Let i(r) be the third derivative of r**5/30 + r**4/6 - r**3/3 - r**2. What is the remainder when i(3) is divided by 10?
8
Let t = -52 + 69. Calculate the remainder when t is divided by 10.
7
Let b = 39 - -4. Suppose 2*p + 3*i = b, 5*p + 0*i = -i + 75. Calculate the remainder when 53 is divided by p.
11
Let p = -110 + 132. Calculate the remainder when p is divided by 9.
4
Let l(j) be the first derivative of 2*j**2 - 9*j - 1. Let b be l(8). What is the remainder when 31 is divided by 1/(b/11 - 2)?
9
Suppose 5 = -5*a - 0. Calculate the remainder when -2*a/(-6)*-63 is divided by 11.
10
Let o be -120 + (-6)/(-3) + -3. Let m = 186 + o. Calculate the remainder when m is divided by 17.
14
Let q be 3 + (2/2 - -4). Let m = q + -6. Suppose 9 = m*v + 4*b - 11, 0 = 3*v - 3*b - 21. What is the remainder when 22 is divided by v?
6
Let k = -1 + 4. Suppose p - k = 2*p. Let s = p + 5. What is the remainder when 2 is divided by s?
0
Let j(t) = t - 3. Let n be 6 - -1*(-3 + 5). What is the remainder when 7 is divided by j(n)?
2
Let s = 3 + 1. Let g(l) = l**2 - 6*l + 4. Let q be g(6). Suppose -10 = -2*b + 2*t, q*b = -2*t + 22 + 22. Calculate the remainder when b is divided by s.
1
Suppose -3*w + 7*w = 112. Calculate the remainder when w is divided by -10*(4/(-18) - 98/126).
8
Let w(z) = 2*z - 1. Let j(a) = a**3 - 5*a**2 + 5*a. Let m be j(4). What is the remainder when 12/54 - 356/(-18) is divided by w(m)?
6
Suppose 0 = 3*w - 7 - 5. Suppose 5*r + w*g = 592, 3*r + 2*g - 357 = -g. Suppose -4 = -5*f + r. What is the remainder when 46 is divided by f?
22
Suppose x + q = -0*q + 9, 4*x - 2*q - 54 = 0. Suppose 5*p - 21 = -2*f + f, -4*f = -4*p + x. Calculate the remainder when 6 is divided by p.
2
Suppose 2*p - 21 = -p. What is the remainder when 11 is divided by p?
4
Suppose -5*t + 58 = 4*m + 7, 5*t + 2*m - 53 = 0. Calculate the remainder when t is divided by 4.
3
Let d(m) = m**2 - 5*m + 7. Calculate the remainder when d(6) is divided by 4.
1
Let z = -45 + 50. What is the remainder when 20 is divided by z?
0
Suppose -5*y = 3*i - 28 - 12, -y + i = 0. Let x(f) = -f**3 + 6*f**2 - 5*f + 6. Let m = -3 + 19. Calculate the remainder when m is divided by x(y).
4
Let i be 1*((0 - -1) + -79). Let c be i/(-15) + (-3)/15. Suppose 5*w = -c*d + 80, -3*d + 40 = -d + 4*w. What is the remainder when d is divided by 7?
5
Let o(p) = 18*p + 2 + 40*p - 3. Let v be o(1). What is the remainder when v/5 - 4/10 is divided by 6?
5
Let o(s) = s**3 - 3*s**2 - 2*s - 5. Let g be o(4). Let d(a) = 10 + a - a**g + 6 + 2*a**3. What is the remainder when 30 is divided by d(0)?
14
Suppose 8*m - 30 = 3*m. Let y = 12 - m. Calculate the remainder when 4/y*(-261)/(-6) is divided by 10.
9
Let r = 8 + -3. Suppose -5*l - 2*o + 44 = -l, l + r*o = 20. What is the remainder when 28 is divided by l?
8
Suppose 0*q - 4*p + 60 = 5*q, -5*q = -5*p - 60. Let g(r) = 2*r**2 - r - 2. Let i be g(2). Suppose 60 = i*o - 76. What is the remainder when o is divided by q?
10
Let h be (30/9)/((-2)/(-3)). Suppose -5*w + 0*w = h*g - 430, -4*w + g + 354 = 0. Calculate the remainder when w is divided by 30.
28
Suppose -3*g + 23 = -103. Let z(x) = -x**3 - 3*x**2 + x - 10. Let n(a) = a - 1. Let l(p) = -4*n(p) + z(p). Calculate the remainder when g is divided by l(-4).
20
What is the remainder when (-1)/(2 - 123/61) is divided by 16?
13
Let v(h) = -2*h - 3. Let b be v(-5). Let p = -4 + b. Suppose 2*s - 90 = -p*u, -2*u - 3*u - 3*s = -151. What is the remainder when u is divided by 11?
10
Suppose -4 = -5*p + 6. Let r(c) = -c**2 - 5*c - 1. Let i be r(-3). Suppose 40 = 4*b + 5*y, -i*y = -b - 2*b - 5. What is the remainder when b is divided by p?
1
Suppose -20 = -4*k + 3*s, 5*s + 10 = 5*k - 15. Suppose -k*f + 10*f = 130. Calculate the remainder when f is divided by 7.
5
Let n = -2 + 98. Suppose -5*s = n - 416. Calculate the remainder when s is divided by 22.
20
Let h(x) = -x**2 + 5*x + 3. What is the remainder when h(4) is divided by 5?
2
Suppose 0 = 4*t - 5*t. Let v = t + 2. What is the remainder when 7 is divided by v?
1
Suppose -2*q + 3*l + 29 = 0, 2*q = 3*q - l - 13. What is the remainder when 37 is divided by q?
7
Suppose -2*f - 2*s = -0*f - 20, 4*f - 40 = 3*s. What is the remainder when 47 is divided by f?
7
Suppose -7*y = -12*y + 35. Calculate the remainder when 20 is divided by y.
6
Suppose 3*l - 33 + 6 = 0. What is the remainder when 12 is divided by l - ((2 - 0) + 0)?
5
Let v = 50 - 19. Suppose 0 = 5*i + 4*t - 75, i + 3*i + 3*t = 59. What is the remainder when v is divided by i?
9
Suppose 0 = 3*a - a + 66. Let i = 13 + -4. Calculate the remainder when 1/2 + a/(-2) is divided by i.
8
Suppose -30 = d + 4*d. Let l be (12/(-18))/(2/d). Calculate the remainder when 5 is divided by (l/1)/(10/15).
2
Let l(i) = -i**3 - 4*i**2 + i - 7. Suppose -3*g - 2*a + 22 = 0, -3*a - 27 = -3*g - 0*a. Calculate the remainder when l(-5) is divided by g.
5
Let d = -19 + 31. Suppose -d = -2*f + 16. Calculate the remainder when (-1 + 25)*f/21 is divided by 9.
7
Suppose 4*v + 3*a + 59 = -24, -v - 2*a = 27. Let o = -12 - v. Suppose o*c = 240 - 85. Calculate the remainder when c is divided by 8.
7
Let f(z) = -7 - 5*z**2 + 0*z + 0*z + 6*z**2. What is the remainder when f(7) is divided by 9?
6
Let g(h) = -3*h - 14 + 15*h - h**3 + 8*h**2 + 1. Let n be g(9). Let x = n + 4. What is the remainder when 52 is divided by x?
16
Let v = 149 + -50. Suppose 49 = 4*g - v. What is the remainder when g is divided by 10?
7
Suppose -2*b - d = 46, -2*b - 29 = -4*d + 27. Suppose -2*t = -6*t - 140. Let l = b - t. What is the remainder when l is divided by 4?
3
Let q be 4 + 0 - (-2)/(-2). Suppose -i - 28 = -4*d, 10 = q*d + 4*i - 11. Calculate the remainder when 32 is divided by d.
4
Suppose 5*b = 2*q + 13, -2*q - 2*b - 18 = 3*q. Let w = -7 - -16. Let g = w - q. Calculate the remainder when g is divided by 5.
3
Suppose 4 = -x + 3*x. Suppose 0*r = -r + 3*k + 48, x*r - 75 = -k. Calculate the remainder when r is divided by 14.
11
Suppose 0*j - 21 = -3*j. Suppose f - 12 - 7 = 0. What is the remainder when f is divided by j?
5
Suppose -j + 4*s + 11 = 1, -4*s = 4. What is the remainder when 16 is divided by 27/6*8/j?
4
Let d = 7 + -2. Suppose 0 = d*k + 10, 4*n + 0*k - 34 = 3*k. Suppose -5*q = 3*f - 72, q + 147 = 5*f + 55. What is the remainder when f is divided by n?
5
Suppose b - 2*b = 16. Let a = b + 32. What is the remainder when 78 is divided by a?
14
Let z(n) = 2*n**3 + 2*n**2 - 2*n - 6. Let l be z(-4). Let g = -48 - l. Suppose -3*v - 17 = -65. What is the remainder when g is divided by v?
14
Let k(s) = -6*s**2 - 7 - s**2 + 8*s**2 + 2*s. Calculate the remainder when 48 is divided by k(-6).
14
Let t(k) = -7*k. Let d be t(-1). Suppose -12 = 4*s - d*s, 0 = -2*j + 3*s. Calculate the remainder when 16 is divided by j.
4
Let d = 2 - 0. Let s(y) = 2*y + 2. Calculate the remainder when 17 is divided by s(d).
5
Suppose 42 + 54 = 2*p. Let q = p - 34. What is the remainder when 25 is divided by q?
11
Let y be (-2)/(-2)*(-3)/(-1). Suppose -4 = 2*k + y*s + 7, -s = 2*k + 9. Let u = k + 9. What is the remainder when u is divided by 3?
2
Suppose -b + 2 = 5. Let g = b + 12. What is the remainder when g is divided by 5?
4
Let m = -159 - -177. Calculate the remainder when 63 is divided by m.
9
Suppose z = 6*z. Suppose z = -v - 4 + 5. Calculate the remainder when 1 is divided by v.
0