pose 4*p + 120 = 7*z - 2*z, -4*p - 24 = -z. Suppose 0*t = -2*t + z. What is the remainder when a is divided by t?
9
Suppose 11 + 13 = 2*m. Calculate the remainder when 5/15 + 68/3 is divided by m.
11
Suppose 0 = 6*w - 15 - 3. What is the remainder when 13 is divided by w?
1
Let o = -1 + 3. Suppose 3*u - 160 = 5*p, -3*u + 2*p = -o*u - 55. What is the remainder when u is divided by 23?
22
Let d(c) = 12*c**2 - 2*c - 1. Let j(v) = -12*v**2 + 3*v + 2. Let r(o) = 3*d(o) + 2*j(o). What is the remainder when 37 is divided by r(1)?
11
Suppose 0 = 2*f - 4 - 0. Let l be f*1 - (-40 + 2). Let n = 69 - l. Calculate the remainder when n is divided by 15.
14
Let v(t) = -2*t - 5. Let o = -2 + -2. Let s be v(o). Suppose -2*n - 5*r + 45 = 0, s*n - n + 2*r = 36. What is the remainder when 28 is divided by n?
13
Let o(j) = 4*j. What is the remainder when 38 is divided by o(2)?
6
Suppose 33*g + 140 = 37*g. Suppose 4*t - 2*y + 0 = 32, 2*t + y = 8. Calculate the remainder when g is divided by 111/t - 2/4.
17
Let g = 142 + -131. Calculate the remainder when 41 is divided by g.
8
Let o(h) = 5*h - 37. Calculate the remainder when o(14) is divided by 18.
15
Let s(k) = 4*k - 6. Let i(p) = -p**3 - 5*p**2 - 6*p - 5. Calculate the remainder when s(4) is divided by i(-4).
1
Suppose 4*b - 2*z - 6 - 108 = 0, 5*b - 141 = z. Let k(g) = g**2 + 8*g - 23. Calculate the remainder when b is divided by k(-11).
8
Let q(w) = -27*w + 7. Let k be q(-5). Let f = k - 81. Suppose 5*y + 5*t - 90 = 0, 2*t + 0*t = 2*y - 48. Calculate the remainder when f is divided by y.
19
Let n = -41 - -60. Calculate the remainder when -55*(0/2 - (10 + -9)) is divided by n.
17
Suppose 0 = -4*l + 4*t + 52, -l - 5*t = -2 + 1. Suppose -128 = -3*u - u. What is the remainder when u is divided by l?
10
Suppose 4*u + 2*v = -0*v + 64, -4*u = 4*v - 64. What is the remainder when 61 is divided by u?
13
What is the remainder when 81 is divided by (3 - 34/10)*2*-15?
9
Suppose 0 = 2*s - 20 + 8. Let n(b) = 2*b**2 + 6*b - 10. What is the remainder when n(-5) is divided by s?
4
Let w(u) = 2*u**2 + 5*u - 4. What is the remainder when w(-6) is divided by (-59)/(-3) - ((-26)/6 + 4)?
18
Let h = -53 - -125. What is the remainder when h is divided by 15?
12
Suppose -4*m = -5*h + 48, 2*h = 4*h - m - 21. Calculate the remainder when 31 is divided by h.
7
Let d(w) = -3*w**3 - 4*w**2 - 5*w + 2. Calculate the remainder when 116 is divided by d(-2).
16
Let u(l) = l + 3. Calculate the remainder when 41 is divided by u(8).
8
Let r(z) = z + 25. What is the remainder when 17 is divided by r(-16)?
8
Suppose -4*h + 16 = -4. Let m be 2/1 + (-3 - -5). Suppose 0 = -3*f - 3*g + 51, -2*f + 3*f + m*g = 29. Calculate the remainder when f is divided by h.
3
Suppose 0 = 3*b + 2*b - 25. Let c(m) = m**2 - 3*m + 3. Let y be c(b). Let a = y - 8. Calculate the remainder when a is divided by 4.
1
Let k(s) = 33*s**2 - 4*s + 5. Calculate the remainder when k(1) is divided by 8.
2
Let o(w) = 2*w + 19. Calculate the remainder when 47 is divided by o(3).
22
Let x(b) = -30*b**2 + 3*b + 3. Let s be x(-2). Let h = -173 - s. Let c = -19 - h. What is the remainder when c is divided by 16?
15
Suppose -2*n - 60 = -4*n. Let i = 24 + n. Suppose -2*z + 0*a = -2*a - 26, i = 4*z - 2*a. What is the remainder when z is divided by 5?
4
Let t be 2/(-4) - (-254)/4. Suppose -2*s - 20 = -b, 4*b + t = -5*s - 0*b. Let m = s + 18. What is the remainder when 18 is divided by m?
4
Suppose -l - 3*k + 8 + 19 = 0, 4*k = 3*l - 107. Suppose -7*b - 18 = -9*b. What is the remainder when l is divided by b?
6
Let t = -4 - -13. Let x(n) = 2*n**3 + n - 1. Suppose -3*z + z - c + 6 = 0, -5*c + 20 = 5*z. What is the remainder when x(z) is divided by t?
8
Suppose s = -2*a - 29, 2*s + 0*a + 5*a = -57. Let q = s + 64. Suppose -2*g + 48 = 3*d, -2*d + q = g - 0*g. Calculate the remainder when d is divided by 10.
8
Let z be (-16)/10*(-25)/10. Suppose z*n = -n + 25. Suppose n*k + 2*b - 78 = -4, k = -2*b + 18. Calculate the remainder when 26 is divided by k.
12
Suppose -3*s = 2*n - 11, -2*s = 4*n + 2 - 12. Let g = n - -4. What is the remainder when g is divided by 3?
2
Let f = 170 + -97. What is the remainder when f is divided by 38?
35
What is the remainder when 0 - -135 - (0 - (-16)/4) is divided by 33?
32
Suppose 0*z + 2 = -5*z - 4*h, -2*z - 4*h = 8. Let j = 5 - 0. Suppose 5*n + 0 - 44 = -z*t, 110 = j*t - 3*n. Calculate the remainder when t is divided by 12.
10
Suppose -2*d + 27 = -5. Suppose 3*r + t = -0*r + 10, -d = -2*r - 3*t. Suppose -3*h + 10 = -5*h, 0 = 3*x + 4*h + 8. What is the remainder when x is divided by r?
0
Let a(m) = -4*m**2 + m - 1. Let t be a(1). Let y(c) = 3*c**2 + 6*c + 6. Calculate the remainder when y(t) is divided by 11.
8
Suppose 0 = 43*g - 38*g - 55. Let d = -32 + 52. What is the remainder when d is divided by g?
9
Let n(p) = -5*p - 8. What is the remainder when 10 is divided by n(-3)?
3
Suppose 4*l - 8*l = 3*r - 7, 3*l = r - 24. Calculate the remainder when r is divided by 6.
3
Suppose 10 + 2 = -4*x, 0 = -3*t + 5*x + 276. What is the remainder when t is divided by 8?
7
Suppose -4*u - 15 = -7*u. Calculate the remainder when 9 is divided by u.
4
Suppose 0 = 2*o + 3*o - 215. Suppose o = 3*p - 23. Calculate the remainder when p is divided by 9.
4
Let b(u) = u**3 - 5*u**2 + u - 6. Let t be b(5). Let a(v) = -2 + 2 - 7*v + 48*v**2 + 6*v. What is the remainder when a(t) is divided by 25?
24
What is the remainder when 7 is divided by -1 + 3 + 1 + 2?
2
Let j(x) = 8*x**2 + x. Let y be j(-1). Suppose 0 = 5*r + y + 3. What is the remainder when 14 is divided by (1 + 3)/((-1)/r)?
6
Let g = -696 - -760. Suppose -2*w = 5*h - 100, 3*h + 2*w - 11 - 45 = 0. What is the remainder when g is divided by h?
20
Suppose -y + 188 = 3*q, -q - 37 = 5*y - 95. What is the remainder when q is divided by 16?
15
Suppose 5*t - 20 = 0, -4*q = -3*t + 3 + 17. Calculate the remainder when 14 is divided by (4/(-6))/(q/15).
4
Calculate the remainder when -3*(4 - 50/6) is divided by 4.
1
Let a(c) = -3*c**2 - 3*c + 2. Let r be a(-3). Let g = -47 + 71. Let n = g + r. What is the remainder when n is divided by 3?
2
Suppose c + 3*c = 56. Let n be c - (-6)/(-3)*1. Suppose n = -5*j + 92. Calculate the remainder when 46 is divided by j.
14
Let w(i) = -i**2 + 5*i + 8. Let q be w(6). Suppose y = 1 + q. Suppose y*s + 0*s - 123 = n, -3*s + 105 = 5*n. Calculate the remainder when s is divided by 14.
12
Let x be 9/((-9)/3) + 76. Let n(w) = -10*w**2 - 3*w + 2. Let r be n(2). Let a = r + x. Calculate the remainder when a is divided by 16.
13
Let j be ((-7)/(-14))/(2/12). Let r(c) = c**3 - c**2 + c + 1. Suppose t + 15 = -2*t, -2*t = 5*w - 50. Calculate the remainder when r(j) is divided by w.
10
Let f(i) = -i**3 + 4*i**2 + 15*i - 7. Calculate the remainder when 20 is divided by f(6).
9
Let t be 78/9 - (-3)/9. Let y = t + -6. Calculate the remainder when y is divided by 2.
1
Suppose 24 = -13*d + 115. What is the remainder when 55 is divided by d?
6
Suppose -2*x = -9*x + 91. What is the remainder when 61 is divided by x?
9
Let s(v) be the first derivative of -v**2/2 + 8*v - 1. What is the remainder when -5 - -9 - (-2 + -31)/3 is divided by s(0)?
7
Let j(x) = -8*x**3 + 4*x**2 + x + 23. Let l(u) = 3*u**3 - u**2 - 8. Let k(f) = 4*j(f) + 11*l(f). What is the remainder when k(-4) is divided by 2?
0
Suppose 5*g - 9 = 4*g. Let m(r) = r. Suppose 3*i + 10 = 25. What is the remainder when m(g) is divided by i?
4
Let o(v) = -v**2 - 13*v - 5. What is the remainder when o(-11) is divided by 5?
2
Let l(i) = -i**3 + i**2 + 3*i. Calculate the remainder when l(-3) is divided by 14.
13
Let l(h) be the third derivative of h**4/6 - 4*h**3/3 - 2*h**2. Suppose -4*f = -2*n + 110, 42 = n + f - 1. What is the remainder when n is divided by l(6)?
15
Suppose 0 = -4*i + 5 - 1. Let a = -94 + 170. Calculate the remainder when 2 - a/(i - 3) is divided by 14.
12
Suppose 5*t - p = 24, -4*p - 5 - 11 = -4*t. Suppose -t*y = 2*c - 63 - 34, y = 4*c + 37. What is the remainder when 40 is divided by y?
19
Let i(n) = 103*n + 2. Calculate the remainder when i(1) is divided by 18.
15
Let j(m) = 19*m**3 - m**2 - 1. What is the remainder when j(1) is divided by 7?
3
Let v(w) = 6*w**3 + 3*w**2 - 2*w + 3. Let z = -1 + 26. Let b = -10 + z. Calculate the remainder when v(2) is divid