4
Calculate the remainder when (-7)/((-21)/54) - (3 + 1) is divided by 5.
4
Let g = -19 + 34. Suppose 4*y - g = 5*q - y, -y = -1. What is the remainder when 34 is divided by (0 - -1)*(-18)/q?
7
Suppose -c - 3 = 2, 5*c = 5*k - 150. What is the remainder when k is divided by 7?
4
Suppose s - r = -s + 4, 0 = -3*r. Suppose -f = -11 + s. Let a = 45 + -19. Calculate the remainder when a is divided by f.
8
Let r(m) = -m**2 + m + 1. Let h(n) = n**3 - 10*n**2 + 8*n + 7. Let x(a) = h(a) - 6*r(a). What is the remainder when x(4) is divided by 6?
3
Let o(r) = 2*r**3 - 11*r**2 - 10*r + 2. What is the remainder when o(8) is divided by 49?
46
Suppose 0 = -d - d + 32. Calculate the remainder when 15 is divided by 5*(d/10 - 0).
7
Suppose 3*w = -w + 32. Suppose 2*q = -q + 93. Let d = -16 + q. Calculate the remainder when d is divided by w.
7
Suppose l = -3*s + 27, -5*s + 13 + 32 = -5*l. What is the remainder when 16 is divided by s?
7
Let u = 111 - 99. Calculate the remainder when 44 is divided by u.
8
Let p = 55 + -43. Suppose 3*i + 0*i - 102 = 0. What is the remainder when i is divided by p?
10
Suppose -6*w = -0*w - 24. What is the remainder when w is divided by 3?
1
Let l be ((-20)/15)/(4/(-6)). Suppose -140 = -7*c + l*c. What is the remainder when c is divided by 15?
13
Suppose -12 = -5*o + 38. Let d = -3 - -40. What is the remainder when d is divided by o?
7
Let a(x) = -2*x + 10. Let s be a(-12). Suppose -2*i = -5*w - 79, 54 + s = 2*i + 4*w. What is the remainder when i is divided by 11?
9
Suppose -4*o - 27 = -f, -3*f + 2*o + 32 + 49 = 0. Calculate the remainder when 79 is divided by f.
25
Let k(w) = 5*w**2 - 3*w - 4. Let f(i) = 3*i + 1 + 2 - 8*i - i**2. Let t be f(-6). What is the remainder when k(t) is divided by 17?
16
Let h = 5 + -7. Calculate the remainder when 19 is divided by 10/(-6)*(h - 4).
9
Suppose -i + 1 = -4. What is the remainder when 10 is divided by i?
0
Let m be (-2)/(-8) + (-788)/16. Let t = -34 - m. What is the remainder when t is divided by 8?
7
Let g = 89 + 3. What is the remainder when g is divided by 19?
16
Let d = -24 + 40. What is the remainder when 63 is divided by d?
15
Let s(l) = 2*l**2 + 7*l + 3. Let r be s(-6). Let d = r + -17. Let j(f) = f**3 + 3*f**2 - f - 4. Calculate the remainder when j(3) is divided by d.
15
Let l = -35 - -10. Let z = l + 72. Calculate the remainder when z is divided by 24.
23
Suppose k = -3*k + 28. Suppose -10 = -t + 2. What is the remainder when t is divided by k?
5
Let p(b) = -2*b**3 - 10*b**2 - 10*b + 7. Calculate the remainder when p(-6) is divided by 47.
45
Suppose x = -2*x - 42. Calculate the remainder when 32 is divided by (-150)/(-14) + (-4)/x.
10
Let x = 2 - 0. Suppose -28 = -x*k - 0. What is the remainder when k is divided by 8?
6
Suppose -2 = -2*b + 10. Let s(n) = 4*n**3 + n**2 - n - 1. Let k be s(-1). Let l(t) = t**2 + 3*t + 4. What is the remainder when b is divided by l(k)?
2
Calculate the remainder when (-40)/(-16)*(-424)/(-30)*3 is divided by 22.
18
Suppose 2*d = 2*x + 8, -3*d + 2*x + 2 = -10. What is the remainder when (-12 + -3)*(-4)/10 is divided by d?
2
Let a be 490/63 - 4/(-18). Let i = a + 6. Calculate the remainder when 26 is divided by i.
12
Let z = -13 - -22. What is the remainder when z is divided by 5?
4
What is the remainder when 82 is divided by 17 + (2 + 1 - 3)?
14
Let w = -112 - -117. Calculate the remainder when 13 is divided by w.
3
Let a(h) = h**3 + 5*h**2 + 3*h - 4. Let f be a(-3). Suppose f*p = 4*p + 13. What is the remainder when p is divided by 5?
3
Let b = 544 + -387. Let t = b - 93. Calculate the remainder when t is divided by 22.
20
Suppose -6*o + 547 = -3*o - 4*q, -5*o - 2*q = -877. Suppose 57 = -5*h + o. What is the remainder when h is divided by 0/(-8) + (-26)/(-2)?
11
Suppose 27 - 135 = -4*b. Suppose -3*h - b = -2*l + 14, -5*l + 116 = -3*h. Calculate the remainder when l is divided by 14.
11
Let l(f) be the third derivative of -17*f**4/24 - 9*f**2. Calculate the remainder when 99 is divided by l(-2).
31
What is the remainder when 186/4 + (-8)/16 is divided by 12?
10
Let k be (-45)/(-5)*(-4)/6. Let w be ((-6)/(-5))/(k/(-120)). Suppose 0 = 5*n - 11 - w. Calculate the remainder when 19 is divided by n.
5
Let y(a) = a + 2. Let p be y(-2). Suppose p = 3*n - 4*x - 38, -45 = -4*n + 5*x + 6. What is the remainder when 26 is divided by n?
12
Let s(k) = -k**3 + 12*k**2 - 10*k - 9. Let u = 5 - -6. Let f be s(u). Suppose -t = -f*t + 35. What is the remainder when t is divided by 18?
17
Let r = 110 - 5. What is the remainder when r is divided by 12?
9
Calculate the remainder when 60 is divided by 5 - 3/3 - -27.
29
Let m(s) be the first derivative of 2*s**3/3 - 3*s**2 + 7*s + 5. Calculate the remainder when m(7) is divided by 22.
19
Let l = 62 + 5. What is the remainder when l is divided by 17?
16
What is the remainder when 11 is divided by (8 - (-4)/(-4)) + -3?
3
What is the remainder when 21 is divided by (4/(-2))/(2 + (-26)/12)?
9
Let o(t) be the third derivative of -t**6/120 + 2*t**5/15 - t**4/4 + 2*t**3/3 + 4*t**2. What is the remainder when 43 is divided by o(7)?
10
Let a(y) = y**3 - 4*y**2 + 4*y. Let s be a(3). Suppose -6*x = -s*x - 30. Calculate the remainder when x is divided by 4.
2
Suppose k = -5*b - 207, -b + 0*b = -5*k - 905. Let s = k + 96. Calculate the remainder when 34 is divided by (-2)/7 - s/7.
10
Let g(b) = -b**3 - 2*b**2 + 3*b + 2. Let i be g(-3). What is the remainder when 69 is divided by 2 + i + 12 + 2?
15
Let z = 11 - 8. Suppose -5*s + z*a + 179 = 5*a, 4*s - 134 = 3*a. Calculate the remainder when s is divided by 9.
8
Let s(u) = 10*u - 3. Let o be s(-5). Let r = -32 - o. Calculate the remainder when 19 is divided by r/2 + (-2)/4.
9
Suppose -5*x = -s - 62, s = -3*x + 39 - 5. Calculate the remainder when 33 is divided by x.
9
Let i = -11 - -5. What is the remainder when 21 is divided by (-6 - -4)*33/i?
10
Let g = 175 - 94. Let r(o) = -3 - 2*o + 1 + 1 - 20*o. Calculate the remainder when g is divided by r(-1).
18
Let g(a) = -a**3 + 6*a**2 + 1. Calculate the remainder when 54 is divided by g(3).
26
Suppose -j = -c + 4, 0 = 5*j - 3*j - 5*c + 11. What is the remainder when 9/j + (-42)/(-3) is divided by 5?
1
Let t be 328*(-1)/(-8)*6. Suppose 5*n - t = -86. Calculate the remainder when n is divided by 11.
10
Let j(w) = w - 12. Let k be j(8). Calculate the remainder when 22 is divided by (k/10)/(8/(-240)).
10
Let r(q) = q**3 + 2. What is the remainder when r(2) is divided by 8?
2
Suppose -4*u = -56 - 576. What is the remainder when u is divided by 40?
38
Let f = -1 - -51. Calculate the remainder when 146 is divided by f.
46
Let b = -114 - -213. What is the remainder when b is divided by 35?
29
Suppose 4*p = 12, 2*a + 2 = -p + 7. What is the remainder when 2 is divided by a?
0
Suppose -2*a - 2*u = 6, 4*u + 2 = -4*a + 2*u. Suppose -2*w + 5*w = 24. What is the remainder when (a + -3)/1 - -15 is divided by w?
6
Suppose 5*c - 6*c = -72. Suppose 0 = 2*w + t - c, w = 2*t + 4 + 27. What is the remainder when w is divided by 12?
11
Suppose 0 = -0*d - 4*d. Suppose d*y = -4*y + 80. Let k = 37 - -1. What is the remainder when k is divided by y?
18
Let n = 2 + 7. Calculate the remainder when 12 is divided by n.
3
Let v = -59 + 92. What is the remainder when v is divided by 19?
14
Let x(n) = 3*n + 26. What is the remainder when 4 is divided by x(-8)?
0
Let o = -2 + 3. Let z(d) = 10*d**2 - d - 1. What is the remainder when z(2) is divided by o/2*(-3 + 29)?
11
Suppose 0*x = v + x - 61, 152 = 2*v - 4*x. Suppose 4*q = -b + 24, 3*b - 15 = q - 2*b. What is the remainder when v/8 - 2/8 is divided by q?
3
Let t(c) = -14*c - 7. Let g be t(-2). Suppose 5*r - 3*r = 4*i - 54, -r = i - g. Calculate the remainder when 29 is divided by i.
13
Let f(c) = -c**2 + 5*c + 2. Let y be f(5). Suppose y*z - 3*z = -6. Let u(n) = 3*n - 4. What is the remainder when 40 is divided by u(z)?
12
Suppose -6*p + 9*p - 87 = 0. Calculate the remainder when 57 is divided by p.
28
Suppose -3*d = -6, 5*l + 36 = 5*d - 79. Let i = -13 - l. Let v(u) = -u**2 - 6*u - 2. What is the remainder when i is divided by v(-5)?
2
Suppose 4*v - 2*h - 90 = 0, 4*h + 0*h = -4*v + 60. Let i(j) = -j**3 - 10*j**2 - 5*j - 13. What is the remainder when i(-10) is divided by v?
17
Let w(r) = -r**3 - 2*r**2 + 2*r - 2. Let a(g) 