m + 5*z + 32, -7 - 13 = -5*z. What is the remainder when m is divided by 14?
12
Suppose 0 = -21*a + 24*a - 24. What is the remainder when 1/(0 + 2/46) is divided by a?
7
Let a(x) = -6*x + x**3 - 5*x**2 - 4 + 0*x - 4. Let y be a(6). Calculate the remainder when 22 is divided by 2/y + (-49)/(-4).
10
Suppose -5*x - 22 = 8. Let i = -18 - x. What is the remainder when (-4)/i - 14/(-3) is divided by 2?
1
Let u(h) = -8*h + 1. Suppose -24*t + 603 = 43*t. Calculate the remainder when u(-4) is divided by t.
6
Suppose 0*i - 5*i + 25 = 0. What is the remainder when i is divided by 4?
1
Suppose -4*h + 25 = 2*a - 19, -29 = -a + 5*h. Calculate the remainder when 95 is divided by a.
23
Let b be 4/(-8)*-1*2. What is the remainder when (5*-2)/(b/(-2)) is divided by 3/((-12)/14)*-2?
6
Suppose -162 = -4*r + 178. What is the remainder when r is divided by 22?
19
Suppose -8*d = 4*p - 3*d - 36, -p = 2*d - 6. Calculate the remainder when ((-4)/8)/(1/(-108)) is divided by p.
12
Let w(r) = -r**3 + 6*r**2 + 8*r + 1. Let z(d) = 3*d**2 + d. Let a(s) = -3*s. Let f be a(-1). What is the remainder when z(f) is divided by w(7)?
6
Let c(b) = b**2 - b - 23. What is the remainder when c(-6) is divided by 11?
8
Let a be 6/3 + 1 + -1. Suppose -i = -0*i - w - 24, -a*i + 5*w + 45 = 0. Calculate the remainder when (-258)/(-903) + 1 + 509/7 is divided by i.
24
Let h be 1/(2*1/(-28)). Let r be h/4*(-1 + -1). Let g(i) = -i**3 + 7*i**2 + 3*i + 8. What is the remainder when g(r) is divided by 10?
9
Suppose 11 + 24 = -4*v - 3*a, -3*v + 4*a = 45. Let z(g) = -1 + 0 - 2*g + 2. What is the remainder when z(v) is divided by 12?
11
Let d(s) = -s**2 + 2*s + 1. Let v be d(-5). Let p be v - -4 - (-1 + -1). Let i = 40 + p. What is the remainder when i is divided by 7?
5
Let t(g) = 5*g + 2. What is the remainder when t(13) is divided by 18?
13
Calculate the remainder when 12/(-4)*(86/(-6) + 1) is divided by 11.
7
Suppose -5*q + 2*a = -70, -3*a + a = 5*q - 70. Calculate the remainder when 0/(6/(-3)) + 54 is divided by q.
12
Suppose -2*c + 6*j + 16 = 2*j, -4*c + 22 = -3*j. What is the remainder when c is divided by 5 - (3 + 0)/1?
0
Suppose 3*a = -4*j + 338, -1 = 2*a - 5. Calculate the remainder when j is divided by 42.
41
Suppose -31*x = -38*x + 56. What is the remainder when 63 is divided by x?
7
Let x be (4 - 2)/(-2)*1. What is the remainder when 16/3 + (-1)/3 is divided by -5*(14/(-10) - x)?
1
Let k(a) be the third derivative of a**4/6 + 2*a**3/3 - 3*a**2. Let m be k(4). Calculate the remainder when ((-45)/m)/((-3)/8) is divided by 4.
2
Suppose -3*i + 20 + 34 = 0. What is the remainder when 1*(2 + 3 + -6)*-53 is divided by i?
17
Let a(w) = w**3 - 24*w**2 + 3*w - 35. Suppose 0 = -3*p - 0*p + 39. Calculate the remainder when a(24) is divided by p.
11
Suppose 5*z - 8*z = -45. Calculate the remainder when 2 is divided by 16/6 + (-10)/z.
0
Let r be 9/(-12) - (-270)/8. Calculate the remainder when 8 is divided by 2/(-4) - r/(-6).
3
Suppose -r - y = -9, 2*y - 6 + 16 = 0. Calculate the remainder when r is divided by 5.
4
Suppose -3*j - 5*m = -4*j + 1, -3*j - 4*m + 60 = 0. What is the remainder when 29 is divided by j?
13
Let h(d) = -16*d - 3. Let s be h(-3). Suppose s = 4*x - 15. Suppose -2*t = 5*u + x - 45, -54 = -5*t - 2*u. Calculate the remainder when 19 is divided by t.
9
Let m(l) be the second derivative of -l**3/3 + 5*l**2/2 - l. Let u(d) = -3*d**2 + 4*d + 3. Let x be u(-1). What is the remainder when m(x) is divided by 7?
6
Let s = -3 + 3. Let b(t) = t**2 + t + 10. Calculate the remainder when b(s) is divided by 6.
4
Suppose -3*g + 5 = a, -2*a - 12 + 0 = -5*g. Let i be (2 + a - 9)/1. What is the remainder when 27 is divided by -7*3/12*i?
13
Let o(f) = -f**3 + 4*f**2 + 2*f - 6. Let j be o(4). Suppose -1 = -n, -2 + 10 = j*z - 2*n. What is the remainder when 9 is divided by z?
4
Let v = 1 - -11. Let c(o) = 3*o**2 + 4*o - 4. Calculate the remainder when c(3) is divided by v.
11
Suppose 4*j + 67 = 283. What is the remainder when (-4)/(-6)*j/6 is divided by 2?
0
Let m(i) = -i**3 - 15*i**2 - i + 20. What is the remainder when m(-15) is divided by 12?
11
Suppose -4*g - 16 = 0, 4*v + 3*g = -0*g. Suppose -5*s = v*h - 180, -s - 3*h + 23 + 1 = 0. Let j = s + -8. Calculate the remainder when j is divided by 16.
15
Let c(y) = 17*y**2 + 4*y. Calculate the remainder when c(-2) is divided by 16.
12
Suppose -s - 5*k + 75 = 24, k = 2*s - 102. Calculate the remainder when s is divided by 13.
12
Let n(q) = -q**2 + q + 14. What is the remainder when 52 is divided by n(0)?
10
Let s(q) = q**3 - 4*q**2 - 4*q - 3. Let m be s(5). Let x(z) = -10*z**2 - m*z + z**3 + 15*z**2 + 3 - 2. What is the remainder when x(-5) is divided by 6?
5
Suppose -5*q - 4*p + 78 = 0, -3*p + 62 = 3*q + q. Suppose 3*r + 2*b = 8*r - 194, -5*b = -2*r + 65. Calculate the remainder when r is divided by q.
12
Suppose 0 = -11*o + 6*o + 170. Calculate the remainder when o is divided by 9.
7
Suppose i = -3*i + 1072. Suppose 5*q - 47 - i = 0. Calculate the remainder when q is divided by 16.
15
Suppose 24 = 4*n - 16. Calculate the remainder when 21 is divided by ((-44)/6)/(n/(-15)).
10
What is the remainder when 98 is divided by 13 + 3 + (-1 + 17)/4?
18
Let m = -45 + 63. Suppose -3*t + 207 = -0*t. What is the remainder when t is divided by m?
15
Let f = -9 - -13. What is the remainder when (13 - -1) + 4 + 0 is divided by 11/1 + (f - 5)?
8
Let s(t) = t**2 + t + 2. What is the remainder when 52 is divided by s(-4)?
10
Suppose 15*t = 10*t + 20. What is the remainder when 21 is divided by t?
1
Let t = 34 + -7. Calculate the remainder when t is divided by 10.
7
Let f = -50 + 66. Calculate the remainder when 76 is divided by f.
12
Let l(b) = 21*b**2 - 2*b - 1. Let n = -4 + 3. Calculate the remainder when l(n) is divided by 8.
6
Let v(u) = -u**2 + 6*u - 2. Suppose -2*a = -87 + 3. Let y = -25 + a. Calculate the remainder when y is divided by v(4).
5
Let h = -115 + 170. Let j(f) = -15*f + 3. Let x be j(-5). Let z = x - h. What is the remainder when z is divided by 8?
7
Suppose 3*d - 4*l - 19 = 39, -d - 4*l - 2 = 0. Calculate the remainder when 39 is divided by d.
11
Let g be (-2)/2*-3*1. Let j = g + -1. Suppose 3*p = 5*k - 11, -k + 2*p + 1 + 4 = 0. Calculate the remainder when j is divided by k.
0
Suppose 5*l = 7 + 63. Suppose -2 = -y + l. Let h = -58 - -105. Calculate the remainder when h is divided by y.
15
Suppose 3 = z + 1. Let v be (3 - z)*-9 + 0. Let s = -5 - v. What is the remainder when 11 is divided by s?
3
Let v(w) = -w - 5. Let s be v(-7). Let x = s + -1. Suppose 0 = -k + 4*n - 14, -n = -5*k + 3 + 3. What is the remainder when k is divided by x?
0
Suppose 2*i + 230 = 5*z + 3*i, 0 = -4*z + 4*i + 184. What is the remainder when z is divided by 27?
19
Suppose 3*f - 25 = 2. Calculate the remainder when (162/(-20) - (-22)/(-55))*-2 is divided by f.
8
Let i = -19 + 32. What is the remainder when i is divided by 5?
3
Suppose 0 = 5*m - o - 89, -5*o + 15 = m - 8. Let y = 27 - m. What is the remainder when (44/6)/(6/y) is divided by 6?
5
Suppose -3*a + 2*w - 308 = -7*a, a + 3*w - 87 = 0. Calculate the remainder when a is divided by 13.
10
Let k(a) = 2*a + 3. Let r = -19 - -29. What is the remainder when k(r) is divided by 13?
10
Suppose -2*q + 9 = 3*q + 2*a, -7 = -q - 3*a. Suppose -64 = -v - 3*v. Calculate the remainder when (5/q)/((-4)/(-24)) is divided by v.
14
Suppose -12 - 63 = -5*h. Calculate the remainder when h is divided by 8.
7
Let m(c) = -c**3 + 10*c**2 - 9*c + 5. Let x be m(9). Suppose 34 = x*l - 36. What is the remainder when l is divided by 4?
2
Let g = -5 + 15. Let y(h) = -h**2 + 9*h + 13. Calculate the remainder when 11 is divided by y(g).
2
Let v = 62 + -37. Suppose 3*h = -15, 25 = 4*x - 2*h - v. What is the remainder when x is divided by 4?
2
Let o(l) = l**2 - 14*l - 9. What is the remainder when 23 is divided by o(15)?
5
Let l = 12 + -3. What is the remainder when (l/2)/((-3)/(-4)) is divided by 4?
2
Let r be (-1)/(4/6)*-2. Let b be 0/r - (-1 - 2). Suppose b*y + 2*y = -h + 108, -39 = -2*y + h. Calculate the remainder when 41 is divided by y.
20
Let g(i) = 7*i**3 + i**2 + 3*i - 2. Calculate the remainder when g(2) is divided by 22.
20
Let t(q) = 11*q + 6. Calculate the remainder when 279 is divided by t(2).
27
Let n = 4 + -2. Let b be (1 - n)*6/6. 