
19
Suppose 2*z + 2*z = 12. Suppose 3*w = -5*a + z, -a + w + 10 = a. Calculate the remainder when 4 is divided by a.
1
Let c(z) = z**3 - 3*z**2 - 5*z + 6. Let a be c(4). What is the remainder when 14/a*1*2 is divided by 4?
2
Calculate the remainder when (0 + 6/4)/(9/30) is divided by 4.
1
Let l(g) = -40*g - 65*g + 19*g. What is the remainder when l(-1) is divided by 22?
20
Let g = 13 - -1. Let b = g + -10. Suppose p = 5*p - r - 149, b*p - 155 = -r. Calculate the remainder when p is divided by 13.
12
Let y = 2 + 4. Calculate the remainder when 16 is divided by y.
4
Let m be (-450)/12*4/(-5). What is the remainder when 39 is divided by ((-4)/6)/((-2)/m)?
9
Let b(q) = 5*q**3 - 2*q + 3. Calculate the remainder when b(2) is divided by 14.
11
Let i(r) = r**3 - 7*r**2 + 9*r - 15. Calculate the remainder when 9 is divided by i(6).
0
Let y be ((-6)/(-4))/((-3)/(-4)). Let z(c) = -4*c**2 - y*c**3 + 1 + c**2 + 0*c**2. Calculate the remainder when 8 is divided by z(-2).
3
Suppose 0 = -3*k + 4*p + 79, 5*k - 3*p = 118 + 10. What is the remainder when 45 is divided by k?
20
Let p(x) be the first derivative of x**3/3 - 3*x**2/2 + x - 2. Suppose -4*s - 21 = -5*s. What is the remainder when p(-5) is divided by s?
20
Suppose -w - 38 = 26. Let v = -32 - w. Calculate the remainder when v is divided by (-1)/(-1 - 20/(-22)).
10
Let w = 13 - -31. Calculate the remainder when w is divided by 9.
8
Suppose -4*b = -8*b. Suppose 0 = 2*j - 5*w - 112, -2*j + 108 = -b*w - 4*w. Calculate the remainder when j is divided by 12.
10
Suppose k = 3*k - 64. Suppose 2*w - 13 = 3*n + 12, -3*n = w - 8. Calculate the remainder when k is divided by w.
10
Let f = 4 + -1. Let q(i) = i**2 - 3*i + 2. Let a be q(1). Suppose -f*u + u + 22 = a. What is the remainder when 31 is divided by u?
9
Suppose 5*o - 299 = 276. Suppose j + 13 = 5*v - o, 4*v - j = 103. What is the remainder when v is divided by 9?
7
Let g be (-32)/(-18) - (-10)/45. Suppose -3*a - g*a = -85. What is the remainder when a is divided by 10?
7
Let g(s) = -s - 5. Calculate the remainder when 6 is divided by g(-7).
0
Suppose -319 = -5*b + 3*n, 5*b + 0*n - 304 = -2*n. Suppose -7*x + 2*x + 105 = 0. Calculate the remainder when b is divided by x.
20
What is the remainder when 40*(7/14)/(3/6) is divided by 18?
4
Let c(u) = 2*u - 3. Suppose -5*r + z + 2 = 6, -3*r - 8 = -2*z. Suppose -4*a + 57 + 119 = r. Calculate the remainder when a is divided by c(9).
14
Let u be ((-42)/(-4))/((-12)/16 + 1). Let k = -93 + 66. Let h = u + k. Calculate the remainder when h is divided by 9.
6
Let a(w) = 12*w**2 - 5*w + 2. Let j be a(4). Suppose 5*f + z = j, -f + 4*z + 39 = -0*f. What is the remainder when f is divided by 9?
8
Let f(b) = 11*b + 7. Let z be 2/4*2 - -74. Suppose 3*o + 2*o = z. What is the remainder when f(2) is divided by o?
14
Suppose -10 + 0 = -2*u. What is the remainder when 7 is divided by u?
2
What is the remainder when (-4)/(-3)*18/4 is divided by ((-9)/(-3))/(-3) - -3?
0
What is the remainder when 140 is divided by (-48)/(-1)*(-5)/(-15)?
12
Suppose 0 = -2*n - 2*m + 40 - 0, -3*n + 2*m + 45 = 0. Calculate the remainder when 32 is divided by n.
15
Let n = -21 + 29. Let i = n - 6. Let d = -5 - -8. What is the remainder when d is divided by i?
1
Suppose 3*x - x - 108 = 0. Suppose -2*f + d + 8 = -20, d = 0. What is the remainder when x is divided by f?
12
Suppose -5*q = -10*q + 75. Let a(t) = 8*t**2 + t + 1. Calculate the remainder when q is divided by a(-1).
7
Suppose -j + 48 = 7*j. What is the remainder when 52 is divided by j?
4
Suppose 1 = -3*i + 13. Suppose 3*w + 2*q + 19 = 0, 0 = -w - 2*w - 5*q - 25. Let g(r) = -r**2 - 6*r - 2. What is the remainder when i is divided by g(w)?
1
Let i be (1/3)/((-1)/(-15)). Suppose 4*f - 2*n = -i*n + 97, f - 48 = 4*n. Calculate the remainder when f is divided by 15.
13
Suppose 0 = 3*y + 5*u - 122, -2*u - 166 = -5*y - u. Let x be (-6 + 5)/(2/y). Let a = -7 - x. Calculate the remainder when 29 is divided by a.
9
Let p(x) = -16*x**2 + 5*x + 5. Let f(l) = 5*l**2 - 2*l - 2. Let r(u) = -8*f(u) - 3*p(u). Let g = -6 - -5. Calculate the remainder when 14 is divided by r(g).
6
Let u(r) = 14*r + 5*r**2 + r**3 - 14*r. Suppose l = x - 0*l - 11, 5*x = -3*l + 15. Calculate the remainder when u(-4) is divided by x.
4
Let c = 112 - 77. Let y = c - 5. Suppose -3*n = -8*n + y. What is the remainder when 10 is divided by n?
4
Let a be (-1)/3 - 19/(-3). Let k = 8 - a. Suppose -5*y + p + 64 = 0, k*y = -0*y - 2*p + 28. What is the remainder when y is divided by 7?
6
Suppose -12 = -5*d + 18. Let n(c) = 7*c - 3. Suppose -5*u + 2*u = -6. Calculate the remainder when n(u) is divided by d.
5
Let k be 6/(-15) - 64/(-10). Let d(x) = 2 - 4*x + k*x - x. What is the remainder when d(4) is divided by 4?
2
Suppose -4*c + c = 6. Let j = c - -7. Calculate the remainder when 2 + (3*-8)/(-2) is divided by j.
4
Suppose 3*c + 10 - 43 = 0. Let q = c - 7. Calculate the remainder when 11 is divided by q.
3
Let o = 61 - 22. Calculate the remainder when o is divided by 14.
11
Suppose -k - 2 = -s - 5, -4*s - 17 = k. Calculate the remainder when 43 is divided by (-1)/s + 118/8.
13
Suppose 116 = 2*t - 0*u - 4*u, 5*u = -5*t + 290. What is the remainder when t is divided by 5?
3
Let b(a) = -a - 5. Let z be b(-8). Suppose -5*x + 3*h = -138, -z*h - 72 = -4*x + 39. What is the remainder when x is divided by 15?
12
Suppose -2*k - 3*k = -60. Calculate the remainder when k is divided by (-13)/(-2) + 5/10.
5
Suppose 0*q = -3*q. Let c(a) = a**2 + 5. Calculate the remainder when (-3)/((-9)/33) - -3 is divided by c(q).
4
Let z be ((-42)/4)/(-3)*2. Let j = z + 10. What is the remainder when (1 + (1 - 34))*-1 is divided by j?
15
Suppose 0 = 3*m + 9, 1435 = 5*y + m + 4*m. Suppose y = -v + 6*v. What is the remainder when v is divided by 15?
13
Suppose p - 3*p + 4 = -3*d, -10 = -5*p. Suppose 0*o = -3*o + 5*g + 28, d = -3*g + 3. Calculate the remainder when 30 is divided by o.
8
Suppose 3*y - m = 11, 2*y - 5*m + 7 = -3. Let f be (-3)/(((-3)/22)/(-1)). Let d = f - -36. Calculate the remainder when d is divided by y.
4
Suppose 16 = 4*r - 4*o, 6 = -r + 3*o - 0. Calculate the remainder when r is divided by 5.
4
Let h = -17 - -24. Let o(y) = 3*y - 9. Calculate the remainder when o(7) is divided by h.
5
Suppose f - 3*o + 15 = 0, -3*o - 1 = -4. Let u(k) = -k**3 - 11*k**2 + 12*k + 14. What is the remainder when 40 is divided by u(f)?
12
Suppose 2*f = 3*d + 39, 4*d + 10 = 3*f - 47. Suppose -5*o = -j + f, -j = -4*o + 3 - 19. Calculate the remainder when 57 is divided by j.
17
Let i(c) = -28*c - 1. Let a be i(2). Calculate the remainder when (-4)/8 + a/(-2) is divided by 15.
13
Let p(f) = -f**3 - 7*f**2 + f + 8. Let g be p(-7). Suppose 0*m + 21 = 3*m. Calculate the remainder when m is divided by -1*(-4 + (g - 1)).
3
Let u(n) = 2*n + 5. Calculate the remainder when u(9) is divided by 11.
1
Suppose -3*i - i + 40 = 0. What is the remainder when 84/5 - 1/(-5) is divided by i?
7
Suppose -188 = -5*j + j. Calculate the remainder when j is divided by 16.
15
Suppose 4*z - 17 = -2*t - 5, -6 = 3*t. Calculate the remainder when 4/(-14) + 44/7 is divided by z.
2
Suppose 2*l = 6*l + 4*u, -4*l = -3*u - 28. What is the remainder when 4 is divided by l?
0
Let z = 23 - -10. Let o = z - 16. Calculate the remainder when o is divided by 6.
5
Suppose 3*f + 3*b + b - 34 = 0, 0 = -4*b - 20. Calculate the remainder when 53 is divided by f.
17
Suppose -4 = 4*k, -2*i + 2*k + 0*k + 38 = 0. Calculate the remainder when 64 is divided by i.
10
Let u be -2 + 12/(5 - 2). Suppose -3*m = -s + 25, -2*s - u*s + 100 = 3*m. What is the remainder when s is divided by 9?
7
Let y be 0 - (-1 + 1) - 0. Suppose -3*j + 5*p = -2*j - 40, y = 4*j - p - 65. Calculate the remainder when 29 is divided by j.
14
Let g(p) = 7*p - 13. Calculate the remainder when 115 is divided by g(6).
28
Suppose 2*g + 0 = 8. What is the remainder when 5 is divided by g?
1
Suppose 105*k + 12 = 107*k. Calculate the remainder when 6 is divided by k.
0
Let w(i) = 2*i**2 - 8*i + 17. Calculate the remainder when w(7) is divided by 16.
11
Let k(x) = -30*x + 12. Calculate the remainder when k(-5) is divided by 33.
30
What is the remainder when 3 is divided by ((-2)/(-5))/(1/5)?
1
Let u(f) = f**3 + 11*f**2 + 13*f + 1. Calculate the remainder when u(-