remainder when 43 is divided by p.
10
Let g(p) = 4*p - 7. Suppose 3*b = 8*b + 20, 3*b = 3*q. Let x be 69/12 + 3/q. What is the remainder when g(x) is divided by 8?
5
Calculate the remainder when 206/10 + 8/20 is divided by 12.
9
Suppose 2*r + 3*h = 138, -6*r - 3*h = -r - 336. Let s(l) = -2*l + 31. Let f be s(14). Suppose 0 = -f*m + 120 + r. What is the remainder when m is divided by 16?
14
Let o(c) = 0*c + 0*c + 1 + 17*c**2 - c. Let l be o(1). Suppose 0 = -3*z + 5*f + l, 0*f = z + 5*f - 19. Calculate the remainder when z is divided by 3.
0
Let m = 23 + -11. Calculate the remainder when m is divided by ((-2)/1)/((4/(-10))/1).
2
Suppose 2*i + 2 = 10. Suppose 4*c = -2*t + t + 78, -3*t - i*c = -226. Calculate the remainder when t is divided by 19.
17
Let d = -40 - -64. Let t(r) = 2*r**3 - 4*r**2 - 2*r - 4. Let a be t(4). Suppose -a = -2*h - 2*h. What is the remainder when d is divided by h?
11
Suppose -11 = -2*z + 11. Let j(b) = 3*b**3 + 1 - 3*b**3 - z*b**3. What is the remainder when 22 is divided by j(-1)?
10
Let h(d) = -d**3 + 6*d**2 - 4*d + 3. Let u be h(5). Let r = -71 - -73. Suppose -r*l - 2 = -u. What is the remainder when 7 is divided by l?
1
Suppose -70 = -p + 3*d, -4*p + 5*d = 7 - 287. What is the remainder when p is divided by ((-1)/(-1) + 5)*3?
16
Let v(p) = 3*p + 16. What is the remainder when 10 is divided by v(-4)?
2
Suppose -31*c = -32*c - 1. Let d = -25 - -17. Calculate the remainder when ((-74)/d)/(c/(-4)) is divided by 13.
11
Let c = 3 - 1. Let y(m) = 4*m**3 - m**2 - 2*m + 1. What is the remainder when y(c) is divided by 13?
12
Suppose 0*h - 4*h + 80 = 0. Suppose -5*b = t - 0*t - 16, 4*t + b - 83 = 0. Suppose 4*s - 131 = t. Calculate the remainder when s is divided by h.
18
Suppose -3*t + 0 = -3. Let k = 30 + -21. What is the remainder when (3 + t)/(5/20) is divided by k?
7
Let u(b) = b**2 + b + 1. Let k be u(-2). What is the remainder when -18*k*2/(-4) is divided by (-1)/(5/(-65)) - -2?
12
Suppose 0 = 5*s + 4*v - 214, 4*v + 38 = s - 0*s. Suppose j - 5*l - 34 = 0, 3*l + s = 2*j - 12. Calculate the remainder when j is divided by 9.
6
Suppose -z + 276 = 11*z. What is the remainder when z is divided by 2?
1
Let q = -2 - 2. Let v(d) = -d + 4. Let r(z) = 2*z**2 - 7*z - 7. What is the remainder when r(6) is divided by v(q)?
7
Let a = 0 - 3. Let r(y) = -3*y - 7. Calculate the remainder when a + 1/(-1) + 18 is divided by r(-5).
6
Suppose 7*c + 20 - 97 = 0. Calculate the remainder when 39 is divided by c.
6
Let d(s) = s + 10. What is the remainder when 57 is divided by d(5)?
12
Let s(m) = m + 10. Suppose d = -0*d. What is the remainder when 19 is divided by s(d)?
9
Let t(f) = f**3 + 6*f**2 - 2*f - 6. Suppose -3*q - 2 = -29. Calculate the remainder when q is divided by t(-6).
3
Suppose -7*l + 120 = 3*l. What is the remainder when 33 is divided by l?
9
Let t(u) = u**3 - 8*u**2 + 7*u + 3. Let g be t(7). Suppose g*z - 8*z + 85 = 0. Calculate the remainder when 33 is divided by z.
16
Let x = 8 + 49. Suppose -5*i = 5*l - 55, 0*i + i = -4. What is the remainder when x is divided by l?
12
Suppose 0 = -5*s + 3*a + 13 - 45, -5*s - 36 = -4*a. Let z(w) = 2*w**2 - w - 4. Calculate the remainder when z(s) is divided by 11.
10
Suppose -2*u + 0*u = -6. Suppose r - u*r + 40 = 0. Suppose 0 = -2*g + r + 8. What is the remainder when g is divided by 8?
6
Suppose 5*h - 3*u + 2 - 12 = 0, 3*h - 5*u + 10 = 0. What is the remainder when -2 + 4 + -6 - -23 is divided by h?
4
Suppose -3*g = -g - 38. Suppose -3*w = p - w - g, -p = w - 15. Calculate the remainder when (33 - 1)*(1 + 0) is divided by p.
10
Let h(n) = -n**3 + n**2 + n + 8. Suppose 3*d = r - 26, -3*r + 3*d + 2*d = -62. What is the remainder when r is divided by h(0)?
6
Let l be 15/((-2)/8*6). Let z(k) = -k**2 - 12*k - 11. What is the remainder when z(l) is divided by 4?
1
Let r(u) = -2*u**3 - 1. What is the remainder when 58 is divided by r(-2)?
13
Let q = 88 - 51. Let j = 99 + -61. Suppose 3*i - 42 = -3*f, 6*f = 3*i + 5*f - j. Calculate the remainder when q is divided by i.
11
Suppose 13 = 3*v + i, -i = -4*v + 10 + 12. Suppose -24 + 12 = -m. Calculate the remainder when m is divided by v.
2
What is the remainder when -11 + 157 - (6 + -1) is divided by 49?
43
What is the remainder when 6/4*212/6 is divided by 9?
8
Suppose -2*s = 3*o - 32, -6*s + 4*s = 2*o - 24. Let t = 51 - o. Suppose 4*m - t + 11 = 0. What is the remainder when 14 is divided by m?
6
Let j = -18 - -23. What is the remainder when 19 is divided by j?
4
Suppose s - 4*h = 36, s - 3*h - 17 = 18. What is the remainder when s is divided by 5?
2
Let x(z) be the first derivative of 5*z**2 - 13*z + 5. What is the remainder when x(5) is divided by (-2 - 11 - 0)/(-1)?
11
Suppose 3*n = 14 + 1. Suppose 11 + n = v. Calculate the remainder when 45 is divided by v.
13
Suppose 4*a - i - 38 - 8 = 0, 5*a + 2*i - 51 = 0. Let o = a - 8. Calculate the remainder when ((-14)/8 - 0)*-4 is divided by o.
1
Let j = -6 - -10. Suppose -w = -3, -3*w = -j*p - 2*w + 21. Calculate the remainder when 75/p*(-8)/(-5) is divided by 11.
9
Calculate the remainder when (-1 + 16/12)*117 is divided by 21.
18
Suppose -5*m = -2*m - 3*l - 42, -5*m = -4*l - 74. Suppose 0 = -6*n + 7*n + 13. Let a = n + 23. What is the remainder when m is divided by a?
8
Suppose b + 3*l - 43 = 0, 0 = -0*l - 2*l. What is the remainder when b is divided by (-2 - -4) + 4 + 5?
10
Suppose 96 + 0 = -3*g. Suppose n - 1 = 1, -5*d = -4*n - 52. Calculate the remainder when (g/d)/((-2)/3) is divided by 3.
1
Suppose 10*o - 65 = 5*o. Suppose u = -3*u - m + 25, -4*u + m = -15. What is the remainder when o is divided by u?
3
Calculate the remainder when 46 is divided by (-2546)/(-152) + ((-5)/(-4) - 1).
12
Let d be (-48)/(-2) - (0 + 1). Suppose 3*q + d - 56 = 0. Calculate the remainder when 21 is divided by q.
10
Let a be 163/7 - (-2)/(-7). Suppose -4*m + 5*d + 41 = 0, 3*m = 5*d + a + 14. Suppose m*h + h - 65 = 0. What is the remainder when h is divided by 5?
3
Calculate the remainder when 31 is divided by 36*((-27)/(-6) + -4).
13
Let x(k) = -k + 9. Let u(h) = h + 1. Let j(o) = -2*u(o) + x(o). Calculate the remainder when j(-12) is divided by 11.
10
What is the remainder when -1 - (3 + -1*62) is divided by 15?
13
Suppose 2*x - 4*y = 44, 2*x + 2*y - 9 - 11 = 0. Suppose 0 = -2*r + 14 + 38. Calculate the remainder when r is divided by x.
12
Suppose -4*m - 3*o + 172 = o, m = -4*o + 49. Calculate the remainder when 121 is divided by m.
39
Let b = -5 + 7. Suppose -2*z = i - 37, 3*i = i - b. Calculate the remainder when 36 is divided by z.
17
Let h(u) be the second derivative of u**5/20 - u**4/3 - u**3/2 + 5*u**2/2 - u. What is the remainder when 28 is divided by h(5)?
13
Let z = 4 - -15. Let n be (-4)/14 - 205/(-7). Suppose 5*g - 6 = n. What is the remainder when z is divided by g?
5
Suppose 3*w = -3*w + 30. Suppose 2*f = 1 + 3. Calculate the remainder when w is divided by f.
1
Suppose 3*p - 4*g + 43 = 8*p, 0 = 5*p + 2*g - 39. Let n be (-2)/(-7) + (-422)/p. Let a = 84 + n. What is the remainder when a is divided by 13?
11
Let y be 62 + (3 - 5)/(-2). Suppose -y = -4*w + 9. Calculate the remainder when w is divided by 5.
3
Let y(i) = -i**3 + 5*i**2 + 6*i + 4. Let w be y(6). Suppose w - 32 = -4*d. What is the remainder when 2/d + (-550)/(-35) is divided by 9?
7
Let q = -4 + 1. What is the remainder when (12 - 1)/(q/(-18)) is divided by 17?
15
Let t = 4 + -1. Suppose m = -m - 5*p + 95, 0 = -t*p + 9. Calculate the remainder when m is divided by 1/(-3) - 43/(-3).
12
Suppose -55 = -i - 2*i + 4*r, 0 = -i - 4*r - 3. Calculate the remainder when 23 is divided by i.
10
Suppose -2*c - d = 2*c - 690, 0 = 5*c + 5*d - 870. Let k = -114 + c. Suppose 71 + k = 3*p. Calculate the remainder when p is divided by 15.
13
Let l = -1 - 6. Let m be (-5 - l)/(1/65). Suppose 3*y = 3*o - 8 + 122, -3*y + m = o. Calculate the remainder when y is divided by 15.
12
Suppose 5*d + 60 = -0*d. Let g = d + 21. Calculate the remainder when 34 is divided by g.
7
Let a(n) = -6*n + 2. Suppose 0 = -3*w + w + 4. Let j be a(w). Let b = j - -23. What is the remainder when 24 is divided by b?
11
Suppose 0 = -3*b - 9*b + 240. Calculate the remainder when 79 is divided by b.
19
Let s be 23/(2 - (-3)/(-1)). Let y = -16 - s. What is the remainder when 2/4 + (-21)/(-2) 