= -5*d + 45. Calculate the remainder when d is divided by 3.
1
Let t = 4 + 26. Calculate the remainder when 88 is divided by t.
28
Let b = 18 - 12. Suppose -2*z + 0 = -4. Suppose 9 = z*p + 1. Calculate the remainder when b is divided by p.
2
Let i(k) = -2*k + 15. Let v be i(10). Let p = v - -10. What is the remainder when 8 is divided by p?
3
Suppose 4*z - 24 = -0*z. What is the remainder when 52 is divided by z?
4
Let c = -424 + 694. Suppose 3*j - c = -2*j. Calculate the remainder when j is divided by 19.
16
Let q be 68/16 + 3/4. Suppose -m = -7 + 3. Suppose 4*g = -5*n - m + 41, 0 = -q*g - 10. Calculate the remainder when 17 is divided by n.
8
Let x(r) be the second derivative of r**5/20 - r**3/3 + r**2 + r. Let f be x(2). Let g = 10 + f. What is the remainder when 31 is divided by g?
15
Let m(o) = -o**2 - 10*o + 7. Let z = 73 - 63. What is the remainder when m(-7) is divided by z?
8
Suppose 0 = -5*d + w + 33 + 20, -d = -5*w - 25. Calculate the remainder when 79 is divided by d.
9
Let o(c) = -c**2 - 9*c + 6. Suppose -4*m - 3*p = -0*p + 47, p = m + 3. What is the remainder when 41 is divided by o(m)?
13
Let g(o) = o**3 - 3*o**2 - 5*o + 5. Let p be g(4). Suppose -p = 4*y - 9. Suppose 39 = v + 5*h, y*h + 15 = 5*h. Calculate the remainder when 39 is divided by v.
11
Suppose -54 = -5*g + 2*g. Let n be (62/(-6))/((-2)/(-12)). Let v = 97 + n. Calculate the remainder when v is divided by g.
17
Suppose j + 76 = 3*u, -2*j + 9 = -2*u + 57. Calculate the remainder when 102 is divided by u.
24
Let g(k) = k**2 + 6*k + 29. What is the remainder when g(-12) is divided by 26?
23
Suppose -5*v = -v. Let s(c) = c - 5. Let w be s(v). Let u(j) = j**2 + 3*j + 1. What is the remainder when 31 is divided by u(w)?
9
Suppose b - 3 = 0, 0*q + 3*b = q + 8. Calculate the remainder when (34 - q) + 2/1 is divided by 12.
11
Let s = -44 + 56. What is the remainder when 35 is divided by s?
11
Let z = 32 - 19. What is the remainder when 19 is divided by z?
6
Let f be 4/(-18) + (-235)/(-45). Suppose d - 15 - 4 = -4*t, f*t - d = 26. What is the remainder when 8 is divided by t?
3
Calculate the remainder when ((-50)/(-3))/(24/180) is divided by 32.
29
Calculate the remainder when 58 is divided by (9/(-12))/(2/(-40)).
13
Let i = 79 - 62. Calculate the remainder when 83 is divided by i.
15
Suppose -h + 3*z = 4, 0 - 5 = -z. What is the remainder when 51 is divided by h?
7
Suppose -4*m + 5*f = -103, 2*m + 3*f - 77 = -20. What is the remainder when 180/m*66/4 is divided by 28?
26
Let r = 119 + -82. Calculate the remainder when 147 is divided by r.
36
Let b be 44/(-6)*(-3)/1. Let s = 9 + -22. Let c = b + s. Calculate the remainder when 16 is divided by c.
7
Let i be -6 + 5 + 63/1. Suppose -2*j = -3*j + 4*d + 22, 0 = 5*j + 4*d - i. Let z(b) = b**2 - 5*b + 2. What is the remainder when z(8) is divided by j?
12
Let p(c) = -c**3 - 2*c**2 - 5*c + 8. Calculate the remainder when p(-5) is divided by 38.
32
Suppose 3*j - 4*p - 20 = 0, 18 = 5*j - 5*p - 17. Calculate the remainder when 22 is divided by j.
6
Let n(o) = o**3 + o**2 + o + 3. What is the remainder when 4 is divided by n(0)?
1
Let d(x) = 0 - 2 + 2 + 2 - 4*x. Calculate the remainder when d(-3) is divided by 4.
2
Let n = -17 - -9. Let l(h) = -3*h + 18. What is the remainder when l(n) is divided by 15?
12
Suppose p - 3 = -2*l, -2*p - 5*l = -5 - 2. Suppose -u = -18 - p. What is the remainder when u is divided by 5?
4
Let z(m) = 5*m**2 + 3*m + 2. Let d be z(-1). Suppose -18 - 10 = -d*h. Calculate the remainder when h is divided by 6.
1
Let v(m) = 3*m**2 - 7*m + 31. What is the remainder when 303 is divided by v(4)?
48
Let a be (-3 + 15/6)*42. What is the remainder when 54 is divided by a/(-12)*16/2?
12
Suppose 0 = -6*i + 8*i - 26. What is the remainder when 51 is divided by i?
12
Suppose 7*i = 4*i. Let m = i + 5. Calculate the remainder when 8 is divided by m.
3
Let l(v) be the second derivative of -v**4/12 + v**3/6 + 19*v**2/2 + 2*v. Let n be l(0). Let s = n + 8. Calculate the remainder when s is divided by 7.
6
Let o(r) be the second derivative of 7*r**4/6 + r**3/6 + r**2 + r. Calculate the remainder when o(-2) is divided by 19.
18
Let v be (2 - 5)*1*-1. Suppose 6 = -v*j + 6*j. Suppose 57 = j*m - 47. Calculate the remainder when m is divided by 27.
25
Let i = -139 - -213. Suppose -3*h = -0*g - 3*g - 27, -4*g = -5*h + 47. What is the remainder when i is divided by h?
8
What is the remainder when 88 is divided by (0 + -2)*(3 - 8)?
8
Suppose 0*o - 3*o = 4*a - 14, 4*o + 33 = 5*a. Suppose 0*r - 4 = 2*r. What is the remainder when -6*(r + 1 + o) is divided by 10?
8
Let j(n) = 8*n - 12. Calculate the remainder when 95 is divided by j(5).
11
Suppose 4*r - 47 = -3*x, 2*x + 11 = x + 4*r. Suppose s = -x + 23. Let n(t) = 26*t + 1. What is the remainder when n(1) is divided by s?
13
Suppose -5*g - 5 = 5*k, -4 = k + 2*g + 1. Calculate the remainder when 8 is divided by k.
2
Suppose 0*v - 24 = -2*v. Calculate the remainder when 14 is divided by 114/v - (-3)/(-2).
6
Let n be 24 + -2 - 2*1. Suppose 3*o - n = -o. Suppose -2*m + o*m - c = 50, -2*c - 4 = 0. What is the remainder when m is divided by 9?
7
Suppose 0 = h - 6*h - 3*d + 195, 4*d + 78 = 2*h. What is the remainder when h is divided by 10?
9
Suppose 4*b = -4 - 12. Let m be b/(-1) - 2 - -1. Suppose 0 = m*j + 2*j - 10. What is the remainder when j is divided by 2?
0
Let r(h) = -h**2 - 6*h - 3. Let m(j) = j**3 - 4*j**2 - 3*j - 6. What is the remainder when m(5) is divided by r(-5)?
0
Suppose 0 = -4*a - 9 + 77. What is the remainder when a is divided by 5?
2
Suppose -3*z + 13 = 1. Suppose z*y - y - 120 = 0. What is the remainder when y is divided by 14?
12
Let o = -4 + 11. Suppose -o*v + 2*v = -270. Calculate the remainder when 2202/v - (-4)/18 is divided by 14.
13
Suppose -2*t - 11 = -l, -2*l + 115 = 3*l + 2*t. Let i = 61 - 42. Let o = i - 13. Calculate the remainder when l is divided by o.
3
Suppose 0 = 3*o - o - 14. Suppose -o*j = -2*j. Let q = 9 + j. Calculate the remainder when 15 is divided by q.
6
Suppose 3*t + 0*f - 5*f - 4 = 0, 2 = -2*t + f. What is the remainder when 5/t*12/(-10) is divided by 2?
1
Suppose 0 = -n - 3*i + 19, 3*n + 2*n = -2*i + 147. Let t = 11 - 3. Calculate the remainder when n is divided by t.
7
Let j(g) = 10*g. Let o be j(1). Let q = o + -1. Calculate the remainder when 4/10*-13*-5 is divided by q.
8
Let q(m) = m**3 + 17*m**2 - 19*m + 8. Calculate the remainder when 76 is divided by q(-18).
24
What is the remainder when 135 is divided by 2/3 + (-737)/(-33)?
20
Let b = 44 - 27. What is the remainder when b is divided by 9?
8
Suppose l - 17 - 9 = -2*w, 5*w = 3*l + 87. Let g = -4 - -7. Suppose 72 = u + 2*u + g*q, -5*u + 152 = -3*q. Calculate the remainder when u is divided by w.
13
Let m(n) be the first derivative of -n**2/2 - 4*n + 1. Suppose 5*q + 25 = 2*y - 6*y, 3*y + 16 = -q. What is the remainder when 2 is divided by m(y)?
0
Let a be 1 + (14 - (4 - 3)). Suppose 5*i = 3*i + a. Calculate the remainder when 26 is divided by i.
5
Let g = 2 - 1. Let w = -5 + 6. Let h = 2 - w. What is the remainder when g is divided by h?
0
Let h(j) = 27*j**2 - 2*j + 1. What is the remainder when h(1) is divided by 4?
2
Let k = -63 + 74. Calculate the remainder when 72 is divided by k.
6
Let k(z) be the second derivative of -z**3/3 + z**2/2 - z. Let q(a) = a**2 + 1. What is the remainder when k(-1) is divided by q(1)?
1
Suppose 14*q - 15*q + 22 = 0. What is the remainder when q is divided by 5?
2
Let s(l) = 2*l + 1. Let w be s(1). Suppose -5*z + 12 = -w. Suppose 0 = z*h + 2*k - 29, -6*h + h + 47 = 2*k. What is the remainder when 17 is divided by h?
8
Calculate the remainder when 11 is divided by (68/85)/(4/30).
5
Suppose 2*i - 3*w + 0*w - 13 = 0, -4*i + 30 = -2*w. Calculate the remainder when (-12)/i + (-17)/(-2) is divided by 5.
2
Let y(d) be the second derivative of d**3/6 - 2*d**2 - d. What is the remainder when y(8) is divided by (-40)/(-22) - 4/(-22)?
0
Calculate the remainder when (2 - 7)/((-2)/10) is divided by 7.
4
Suppose -2*p + 58 = 5*r, 0*p + 2*p + 2*r - 58 = 0. What is the remainder when 4/12*p*3 is divided by 8?
5
Let g be -1 - (2 - -1)/(-3). Suppose 0*s - 5*j = -3*s + 45, g = 2*j + 6. What is the remainder when -2 + (19 - (1 - 2)) is divided by s?
8
Suppose -2*o = y - 0*o, o 