. What is the remainder when o is divided by (12/10)/((-3)/n)?
2
Suppose 74 = m - 2*n, -n = 3*n. Suppose 5*r - 155 = 5*w, -5*r - 2*w + m = -81. Let l = -14 + r. Calculate the remainder when 49 is divided by l.
15
Let o(l) = 10*l**2 + l - 1. Let h(a) = 7*a - 7. Let x(k) = 6*k - 8. Let j(p) = 5*h(p) - 6*x(p). Calculate the remainder when o(1) is divided by j(7).
4
Suppose -4*l - l - 25 = -3*g, 0 = -4*g - 2*l - 10. Suppose g*m = 5*m - 45. What is the remainder when m is divided by 3?
0
Let l = -3 - -5. Suppose -46 = -l*k + 3*k. Let o = -16 - k. What is the remainder when o is divided by 16?
14
Let u = -5 - -16. Calculate the remainder when 64 is divided by u.
9
Let a = -7 + 21. Calculate the remainder when 26 is divided by a.
12
Let v(n) = 6*n - 2. Let o(c) = 2*c**2. Let k be o(1). Suppose k + 10 = j. What is the remainder when v(6) is divided by j?
10
Suppose 0*n + 3*b = 3*n - 12, -2*n - 3*b - 12 = 0. Let r = n + 1. What is the remainder when (-412)/(-16) + r/4 is divided by 7?
5
Suppose -3*c = -c - 5*a + 20, -2*c - 28 = -a. Let k = c - -20. What is the remainder when 9 is divided by k?
4
Suppose -2*i = 2*u - 2, -4*i + 1 = 3*u - 2. Let t = i - 0. Calculate the remainder when 14/((-1 + t)*-1) is divided by 5.
4
Suppose -92 = -6*l + 2*l. Suppose -2*k = -5*p - 139, k + 11*p = 10*p + 66. What is the remainder when k is divided by l?
21
What is the remainder when 7*4 - (-6 + 2) is divided by 11?
10
What is the remainder when 16 is divided by ((-36)/16)/(6/(-16))?
4
What is the remainder when ((-23)/1)/1*(-5 + 1) is divided by 24?
20
Let h(f) = f**2 - 2*f + 1. What is the remainder when h(-2) is divided by 6?
3
Let m(c) be the third derivative of -c**4/24 + 7*c**3/3 + 4*c**2. Let s(v) = 25*v**2 + 1. What is the remainder when s(1) is divided by m(0)?
12
Suppose l = -4*z - 1, 6 = -3*l - 3*z + 21. Let r = -28 - -47. Calculate the remainder when r is divided by l.
5
Let c = -9 + 11. Suppose c*g = 4*p - 26, -2*g = -2*p - 0*g + 16. What is the remainder when 9 is divided by p?
4
Let i = -3 + 5. What is the remainder when -2 + 4 + -2 + 5 is divided by i?
1
Let g(z) = 5*z + 12. What is the remainder when g(5) is divided by (-93)/(-5) - 2/(-5)?
18
Suppose -5*k = -4*x + 192, -5*x + 70 = -k - 149. Let h = x - 30. What is the remainder when 25 is divided by h?
12
Let p(l) = l**2 + 6*l - 5. Calculate the remainder when 41 is divided by p(-8).
8
Let q(m) = m + 16. Let f be q(-16). Suppose -z + 18 = -f*z. Suppose -6*s = -s - 175. Calculate the remainder when s is divided by z.
17
Suppose 0 = -3*f + 11 - 2. Let g(y) = 5*y**2 - 2*y + 1. Let h be g(1). Suppose 1 + 7 = h*a. Calculate the remainder when f is divided by a.
1
Suppose 0*m + m = 57. Suppose -3*t + 2*f + 67 = 0, 0 = 4*t - 5*f - 17 - 84. Let b = m - t. What is the remainder when b is divided by 13?
12
Let y(c) = 2*c**2 + 11*c + 6. Let v be y(-4). Calculate the remainder when (90/(-25))/(v/45) is divided by 10.
7
Let g(i) be the third derivative of -1/6*i**4 + 0 + 0*i - 2/3*i**3 + i**2. What is the remainder when 23 is divided by g(-4)?
11
Suppose 4*j - 40 = 2*j. Let p = j - 7. What is the remainder when p is divided by 5?
3
Let c be -2*(0 + 1) - -268. Suppose 2*v - 4*x - c = 0, -x + 148 = v - 6*x. What is the remainder when v is divided by 31?
30
Let l(a) = a**2 + 4. Let m be l(-3). Suppose 0 = 2*d - 4*i - 45 + m, -4*d - 4*i + 4 = 0. Calculate the remainder when 22 is divided by d.
4
Let f(r) = r + 5. Calculate the remainder when 4 is divided by f(-2).
1
Let o(s) = -2 - 8*s - 4*s - 1. Let t be o(-4). What is the remainder when 31 is divided by (-10)/t + (-101)/(-9)?
9
Let b(d) = -d**3 - 7*d**2 + 9*d + 10. Calculate the remainder when 3 is divided by b(-8).
1
Let t = 30 + -6. What is the remainder when 67 is divided by t?
19
Suppose -109 + 85 = -2*n. What is the remainder when n is divided by 8?
4
Let u be ((-12)/(-8))/((-2)/(-4)). Let g = u + 5. Let o = 3 - -11. What is the remainder when o is divided by g?
6
Suppose 8*k = 13*k - 225. Calculate the remainder when k is divided by 12.
9
Suppose -14 = -2*t - 5*p, -6*t + t + p = -35. Calculate the remainder when t is divided by 4.
3
Let z be 1*28 - (-6 + 4). What is the remainder when 11 is divided by z/4 - (-18)/(-12)?
5
Suppose 94 + 170 = 4*p. Calculate the remainder when p is divided by 17.
15
Suppose 4*m - 136 = 4*l, 5*m + 2*l - 158 = 3*l. What is the remainder when m is divided by 11?
9
Suppose -5*f = -4*b + 78, -3*b + 64 = -0*b - f. Calculate the remainder when 43 is divided by b.
21
Let y = 44 - 31. What is the remainder when y is divided by 5?
3
Let y be ((-9)/6)/((-9)/24). Let o = y - -6. Calculate the remainder when o is divided by 4.
2
Let l(t) = -3*t - 3. Let m(k) = -2*k - 2. Suppose 5*w + 5 = 0, 3*w - 7 = 5*y - 10*y. Let x be m(y). What is the remainder when 44 is divided by l(x)?
14
Suppose -2*t = 2*t. Let v(m) = m**2 - 2*m + 7. Calculate the remainder when v(t) is divided by 4.
3
Let a(o) = o**2 - 5. Suppose 40 = -5*l + 4*c + 6, 0 = 4*c + 16. Let r = l - -17. What is the remainder when a(r) is divided by 23?
21
Let q be (0/3)/(1*-1). Suppose q = -b - b. Suppose 4*y - l - 36 = b, 6*y - y - l - 45 = 0. What is the remainder when 26 is divided by y?
8
Suppose -2*r + 18 - 6 = -g, g + 16 = 3*r. Suppose -5*l + 34 = r. Suppose 0 = -4*s - 2*b + 38, 2*s = b - 0*b + 21. What is the remainder when s is divided by l?
4
Let n = 0 - 1. Let i = 3 + n. Suppose -i*s - 45 = -5*s. Calculate the remainder when 42 is divided by s.
12
Let v(g) = -g**3 + 7*g**2 + 7*g + 8. Let j(n) = 3*n + 2. Let b be j(2). Let z be v(b). Suppose i - 48 = -z*i. Calculate the remainder when i is divided by 17.
14
Suppose 3*d + 6*f = 3*f + 36, -5*f = 3*d - 28. Suppose 0 = 4*k + 3*h - 8, 16*h - 15*h + 4 = 0. What is the remainder when d is divided by k?
1
Let m(t) = t**3 + t**2 + t + 9. Let k be m(0). Calculate the remainder when (282/9)/(6/k) is divided by 12.
11
Suppose 3*h = 9 - 0. Suppose 0 = h*x + j - 6*j - 123, 0 = 3*x + 3*j - 123. Calculate the remainder when x is divided by 21.
20
Calculate the remainder when 396/10 - 10/(-25) is divided by 11.
7
Let n = 22 + -8. What is the remainder when (-1 + (-22)/4)*-6 is divided by n?
11
Let a be 202/(-6)*9/(-3). Let v = a - 66. Calculate the remainder when v is divided by (-1 - 0)*(1 + -13).
11
Let o = 7 + 25. What is the remainder when 126 is divided by o?
30
Let w(k) = -7*k - 10. Let m(z) = 17*z**2. Calculate the remainder when w(-6) is divided by m(-1).
15
Let z(d) = -d**2 - 8*d - 7. Let h be z(-6). Suppose -5*l - p = 2*p - 30, h*l + p = 30. Calculate the remainder when 29 is divided by l/(-9) - 32/(-3).
9
Let s(m) = 153*m. Let a be s(-1). Let w = -106 - a. Calculate the remainder when w is divided by 12.
11
Let a = 35 - 33. Let u be 13 + 0 + 1 + -1. Suppose -5*g + 16 = 2*j, -5*j - 5*g + 38 = u. What is the remainder when j is divided by a?
1
Suppose 6*n - 5*t - 8 = 3*n, -5*n - t + 4 = 0. Calculate the remainder when 1 is divided by n.
0
Let x = 28 - 19. Suppose 10*z = 28 + 12. Calculate the remainder when x is divided by z.
1
Let z(s) = -s**3 - s**2 + 6. Let p be z(0). Let y be (-6)/(-9)*p + -1. Suppose -4*q + y*q + 16 = 0. Calculate the remainder when 30 is divided by q.
14
Let o(w) = -w**2 - 7*w + 12. Let d be o(-9). Let m = -2 - d. Calculate the remainder when 14 is divided by m.
2
Let d be (-4)/(-2) + -2 + 0. Suppose -60 = -3*y - d*y. Calculate the remainder when 38 is divided by y.
18
Let n = 10 + -4. Suppose 10 = -v + 3*x - 1, -2 = -3*v + 2*x. Suppose w + 6*f - 2 = 2*f, -v*w + 30 = 5*f. What is the remainder when w is divided by n?
4
Let v be -4 + 3/3 - -77. Suppose -3*r - v = -2*m, 3*m + 2*m = -5*r + 185. Calculate the remainder when m is divided by 13.
11
What is the remainder when (-41)/(-4)*(16 - 12) is divided by 15?
11
Suppose 5*x - 9 = 16. Suppose 2*n + 10 = 38. What is the remainder when n is divided by x?
4
Let g = -26 - -50. Let h be 0*(-4)/(-12) + 2. Suppose u - 39 = -h*u. What is the remainder when g is divided by u?
11
Calculate the remainder when 89 + (-20)/(5 + 0) is divided by 29.
27
Let d = -35 - -51. Suppose -5*r + 50 = -100. What is the remainder when r is divided by d?
14
Let a(u) = 7*u. Let n(h) = h - 39. Let v be n(-16). Let i = v + 81. Calculate the remainder when i is divided by a(2).
12
Let j = 61 - 28. 