. What is the remainder when 37 is divided by a?
17
Suppose 0 = h - 2*l - 7, -5 = -0*l + 5*l. Let c be 46 + -3 + 0 + 1. Suppose -4*f + 53 = i, -3*f - i - 4*i = -c. What is the remainder when f is divided by h?
3
Let j be (-1)/4 + 105/20. Let p = j + 0. Suppose 0*x = 5*x + 3*r - 239, -p*x + 243 = r. What is the remainder when x is divided by 17?
15
Let d = -41 + 60. Calculate the remainder when d is divided by 10.
9
Suppose 0 = -0*j + 3*j - 33. Let y = 3 - 1. Suppose 48 = 3*s + 5*i, -y*i = -4*s - 0*i + 90. Calculate the remainder when s is divided by j.
10
Let b = -7 - 1. What is the remainder when 55 is divided by (-88)/(-6) + b/12?
13
Suppose 0 = n + n. Suppose -g = 2*d - n*d - 5, 0 = -3*d - 2*g + 10. Suppose -3*i + 0*i + q = -75, 3*q = d. What is the remainder when 73 is divided by i?
23
Let n = 186 + -129. Calculate the remainder when n is divided by 29.
28
Let j(h) be the second derivative of 2*h**3/3 + h**2/2 + h. Let k be j(2). Calculate the remainder when (30/k)/(6/27) is divided by 8.
7
Let p = -1 - -4. Suppose 0 = -g - p + 1. Let b = g + 5. What is the remainder when 7 is divided by b?
1
Let n be -2 - (1 + 30 - -1). Let i = 187 - 127. Let b = i + n. Calculate the remainder when b is divided by 14.
12
Suppose -6 = 2*k - c + 12, -3*c = -6. Let g(a) = -25*a - 8. Let n(l) = -8*l - 3. Let r(f) = k*n(f) + 3*g(f). What is the remainder when r(-2) is divided by 8?
6
Suppose -v + 27 = 2*v. Let m = 49 - 32. Calculate the remainder when m is divided by v.
8
Let i be -7 + 0 + 4 + -2. Calculate the remainder when (i + 6)/(1/15) is divided by 9.
6
Let s = -1 - 9. What is the remainder when (-12)/s*(-15)/(-2) is divided by 6?
3
Suppose 8*j - 15*j = -35. What is the remainder when 59 is divided by j?
4
Suppose 3*a + j = 2*a - 2, 0 = -4*j + 4. Calculate the remainder when (-146)/(-3) - 1/a is divided by 13.
10
Suppose 3*u - 8 - 1 = 0. What is the remainder when 32 is divided by 1*(-3)/u*-11?
10
Suppose f - 28 = -95. Let d be (2 - f)/(3/(-2)). Let y = -25 - d. Calculate the remainder when y is divided by 11.
10
Let z(w) = 3*w**2 - 6*w - 5. Calculate the remainder when z(7) is divided by 30.
10
Suppose -11 = -5*l - 1. Let x = -1 + 5. Suppose -2*r + 15 = 3*b, 3*r - 1 + 4 = x*b. What is the remainder when b is divided by l?
1
Suppose 5*f + 3*r - 102 = 0, 4*f + 2*r = 4*r + 86. Let g(c) = c**2 + c - 3. Let l be g(3). Suppose 0 = b - l - 2. What is the remainder when f is divided by b?
10
Suppose 3*l - 7*l = 12. What is the remainder when (-1)/(2 - (5 - 2)) is divided by l/(24/2)*-4?
0
Suppose 4*x - 2*x - 65 = -h, 2*h - x - 150 = 0. Suppose 4*b - 3*b = h. What is the remainder when b is divided by 19?
16
Let h(i) = i**3 + 5*i**2 + 2. Let g be h(-5). Suppose -g*m + 7 = 1. Calculate the remainder when 2/m - 50/(-6) is divided by 3.
0
Let i = 111 + 10. What is the remainder when i is divided by 25?
21
Let v = 130 - 89. Calculate the remainder when v is divided by 21.
20
Let g = -54 + 93. What is the remainder when g is divided by 12?
3
Let x(r) = 10*r**3 - 2*r**2 + 2*r. Let i(t) = -10*t**3 + t**2 - t. Let d(o) = -3*i(o) - 2*x(o). Calculate the remainder when d(1) is divided by 3.
1
Suppose 0 = 2*q - 3*n - 125, 5*q - 3*n - 355 = -38. Calculate the remainder when q is divided by 23.
18
Suppose j - 66 = -5*j. What is the remainder when 18 is divided by j?
7
Let q(d) = -7*d - 5. Let l(s) = -s**3 - 9*s**2 - 6*s + 6. Let x be l(-8). What is the remainder when q(x) is divided by 17?
14
Suppose -18 = 2*v + 76. Suppose -5*r - 3*u + 276 + 84 = 0, 0 = 5*u. Let s = r + v. What is the remainder when s is divided by 9?
7
Let v = -11 + 16. Suppose -3*t + 1 = -v. Let m = 24 + t. What is the remainder when m is divided by 9?
8
Suppose -5*j + 65 = -390. Calculate the remainder when j is divided by (-125)/(-4) + (-2)/8.
29
Suppose -3*o - 6 + 3 = 0. What is the remainder when 9 is divided by 12*(o - 10/(-8))?
0
Let j = -15 + 47. What is the remainder when 63 is divided by j?
31
Let u(f) = 2*f**2 + 2. Suppose 2*n - 40 = -2*l, 5*l = n + 67 + 27. Calculate the remainder when u(-6) is divided by l.
17
Suppose 0 = 3*t + 2*f + f - 21, 2*f = 2. Calculate the remainder when 11 is divided by t.
5
Suppose l = 4*b - 7, 0*l - 2*l + 16 = 2*b. Suppose b*c + 22 - 88 = 0. Calculate the remainder when (-1 + -95)/((-3)/2) is divided by c.
20
Let b(x) = -3*x + 1. Let o be b(4). Let p = o - -19. Let m(r) = r**3 - 7*r**2 - 7*r - 2. What is the remainder when 16 is divided by m(p)?
4
Let n = 18 - 11. Calculate the remainder when n is divided by 5.
2
Suppose 4*k - 28 = 2*k. What is the remainder when 81 is divided by (k/4)/((-2)/(-12))?
18
Let n(g) = -g**2 - 4*g + 4. Let h be n(-9). Let c = -27 - h. What is the remainder when 26 is divided by c?
12
Suppose -17 = -l - l - m, 0 = -l - m + 7. Suppose -i - 3 = 0, 4*k = -k - i + 17. What is the remainder when l is divided by k?
2
Let m(o) = -5*o - 3. Suppose 3*i + 2 = -7. Let n(c) = -45*c**3 + 2*c**2 + 2*c + 1. Calculate the remainder when n(-1) is divided by m(i).
10
Let d be -3 + -2 + (3 - 3). Let f be d/(5/(-2)) + 13. Suppose -3*w = -z + 9, 0*z + z - w = f. Calculate the remainder when 34 is divided by z.
16
Let g be (-2)/(-6) - (-6)/9. Let k(m) = 7*m + 2. Calculate the remainder when k(g) is divided by 5.
4
Let q = -9 - -12. Suppose 5*o = -3*f + 47, q*o = 3*f + o - 19. What is the remainder when f is divided by 3?
0
Suppose 5 = -m - 5*h - 0, -3*m = 4*h + 4. Suppose -5*l - 27 + 72 = m. Calculate the remainder when 52 is divided by l.
7
Let r = -21 - -21. Suppose -4*l - l + 105 = r. What is the remainder when l is divided by 8?
5
Let u = 2 + 28. What is the remainder when 7/(-1 - (-8)/6) is divided by 3*u/9 - -1?
10
Let g = -7 - -2. Let b(p) be the second derivative of p**4/12 + p**3/3 - 2*p**2 - 2*p. What is the remainder when 31 is divided by b(g)?
9
Let m = 24 + 59. Let f = m - 59. Calculate the remainder when f is divided by 13.
11
Let l(w) = 14*w + 4. What is the remainder when l(7) is divided by 21?
18
Let i(m) = 34*m**3 + 2*m**2 - 2*m + 1. Let h be i(1). Let w = h + -22. Let t = -18 - -42. What is the remainder when t is divided by w?
11
Let b = 50 + 8. What is the remainder when b is divided by ((-10)/(-4))/(3/24)?
18
Let w = -92 - -104. Calculate the remainder when 33 is divided by w.
9
Suppose 3*j + 0*w - 5*w - 53 = 0, -8 = -4*w. Calculate the remainder when j is divided by 11.
10
Let h = 48 - 23. Calculate the remainder when h is divided by 13.
12
Let b = 9 - 4. What is the remainder when 9 + (-1 - (-2 - 1)) is divided by b?
1
Let a = -3 + 18. Let y = 23 + a. What is the remainder when y is divided by 10?
8
Suppose -4*r + 0*r - 54 = -5*d, 2*d + r - 32 = 0. What is the remainder when 40 is divided by d?
12
Suppose -1 = -h - 0, -4*h = 5*d - 24. Let j be (6/d)/(6/(-40)). What is the remainder when j/(-25) - 228/(-5) is divided by 16?
14
Let y(z) = 3*z**3 - 2*z**2 - 2*z - 1. Let p be y(-1). Let k = 30 - 19. What is the remainder when (p - 0)*(-62)/8 is divided by k?
9
Suppose 3*j - 4*j - 20 = -5*i, -2*j + 5*i = 15. Let v(f) = -1 + 2*f**2 - 8*f + 2*f + j. What is the remainder when 23 is divided by v(4)?
11
Let z = -44 - -49. What is the remainder when 38 is divided by z?
3
Let z = 5 - -5. Suppose 8*j + 2*d = 3*j + 233, j - 43 = -4*d. What is the remainder when j is divided by z?
7
Let q = 11 - 0. Suppose -5*a = -5*l + 8 - 28, -14 = -3*a + 2*l. Suppose -a*m + 3*m = -96. Calculate the remainder when m is divided by q.
10
Let y(b) = b**2 - 2. Suppose 0*v = -2*v - 12. Calculate the remainder when y(v) is divided by 12.
10
Let b = -165 + 177. What is the remainder when 19 is divided by b?
7
Let i(c) = c**3 + 11*c**2 - c - 8. Let v be i(-11). Suppose -2*p + 1 = -v. Calculate the remainder when 19 is divided by (-2)/4 + 21/p.
9
Suppose m + 2*m = 3. Suppose v = -m + 3. What is the remainder when (56/(-35))/((-2)/5) is divided by v?
0
Suppose -4*f + 376 = 2*h, -4*f + 2*f + 178 = -4*h. Suppose 0 = -2*s - 3*x + f, 2*s + 2*x = 7*x + 53. Calculate the remainder when s is divided by 21.
18
Let h = -247 + 254. Suppose 2*n - 26 = -2*x, 5*x - 83 = -3*n - 8. Calculate the remainder when x is divided by h.
4
Let y(h) = -h**3 - 3*h**2 - 4*h - 3. Let o be y(-2). Let k = o - -2. Suppose 0 = k*j + j - 4. What is the remainder when j is divided by 1?
0
Suppose -r = y 