 What is the remainder when s is divided by 10?
6
Suppose 9*l + 180 = 4*v + 8*l, -2*v + 2*l = -84. Suppose -5*h + h + 48 = 0. What is the remainder when v is divided by h?
10
Let b be 4/(4/3) - -42. Suppose 2*f = -3*f + b. Calculate the remainder when 17 is divided by f.
8
Suppose 5*m - 120 = 400. Let j = m - 69. Suppose 0 = 2*a + 3*a - 60. What is the remainder when j is divided by a?
11
Let q = 4 - 1. Let o = 63 - 8. Suppose 2*h + q*h = o. What is the remainder when h is divided by 7?
4
Let v(k) be the third derivative of -k**6/120 - k**5/6 + k**4/6 + k**3/3 - 10*k**2. Calculate the remainder when v(-11) is divided by 16.
15
Suppose -3*p + 3*u = -36, -5*u - 24 = -p - u. Suppose -f + 2*c - p = 5*c, 3*f = -5*c - 24. Calculate the remainder when 55 is divided by 0 + (-4)/(f/38).
17
Let j = 4 - -7. Let o(b) = 2*b + 83. Calculate the remainder when o(-21) is divided by j.
8
Let r be 580/30 + (-4)/(-6). Let b = r + -13. Calculate the remainder when 1/1 - 1 - -13 is divided by b.
6
Let d be (-45)/1 - (-3 - -4). Let u = -25 - d. What is the remainder when 60 is divided by u?
18
Let j(m) = 5 - m**3 - 6*m + 4*m**2 + 6*m**2 - 13. Suppose c - 10 = -0*c. What is the remainder when j(9) is divided by c?
9
Suppose -10*t + 5 = -5*t. Calculate the remainder when 4 is divided by t.
0
Calculate the remainder when (-1)/(75/(-36) + 2) is divided by 5.
2
Let s = 184 - 101. What is the remainder when s is divided by 21?
20
Suppose -2*m + 3*n + 28 = 7, 2 = 4*m + 2*n. Suppose -x = -m*x + 34. Calculate the remainder when 67 is divided by x.
16
Let t(c) = 11*c + 7. Let b = -20 - -24. What is the remainder when t(b) is divided by 18?
15
Let i = 10 + -6. Suppose -2*c + 3*q = -4, -i*c - q + 18 = -2*q. What is the remainder when 17 is divided by c?
2
Suppose -3*d + 60 = -6*d. Let k = 10 + d. Let h = 26 - k. Calculate the remainder when h is divided by 19.
17
Let w = -4 + 19. Calculate the remainder when 208 is divided by w.
13
Let l = 19 + -28. Let n = -7 - l. Suppose 35 = a - 2*m, -6*m + 4 = -n*m. Calculate the remainder when a is divided by 19.
18
Suppose 5 = -5*x + 10. Let q = x - -16. What is the remainder when 65 is divided by q?
14
Let d(a) = a**2 - a - 24. Calculate the remainder when 69 is divided by d(-6).
15
Suppose 3 - 33 = 5*g. Let f = 4 - g. Let q = -28 + 56. Calculate the remainder when q is divided by f.
8
Suppose -2*x = -4*c - 88, -51 - 31 = -2*x + c. Calculate the remainder when x is divided by 21.
19
Let c = 3 - -9. Calculate the remainder when 45 is divided by c.
9
Let i(o) be the third derivative of 11*o**5/60 + o**4/24 + o**3/6 + o**2. Suppose 0*l + 3*l = 93. Calculate the remainder when l is divided by i(-1).
9
Suppose -888 = 4*w - 12*w. What is the remainder when w is divided by 14?
13
Let q = 14 - -126. Suppose 3*y + y - q = 0. Calculate the remainder when y is divided by (-38)/(-3) + (-8)/12.
11
Let m = -61 + 33. Let i = m - -51. What is the remainder when i is divided by (22/(-55))/((-3)/60)?
7
Suppose -5*k = 195 - 30. Let j = -22 - k. What is the remainder when 20 is divided by j?
9
Let a(h) be the first derivative of -7*h**2 + 2. Let j(o) = -o**2 + 10*o - 6. Calculate the remainder when a(-2) is divided by j(7).
13
Let y(v) = v**3 + v + 54. Let q = -10 + 24. Calculate the remainder when y(0) is divided by q.
12
Suppose -7*g + 2*g + 65 = 0. Suppose -12 = -4*f, -b + 5*f = 4*f - g. Calculate the remainder when 62 is divided by b.
14
Suppose 2*s - 76 = -2*m, 5*s + 5*m - 3*m - 193 = 0. Suppose 21 + s = 2*i. What is the remainder when 59 is divided by i?
29
Suppose -5*o = 15, 5 = f - o - 5. Let b be (1 - -2)/(6/4). What is the remainder when (b/4)/(3/108) is divided by f?
4
Suppose -3*u - 3*p + 33 = 0, 0 = -3*u + 6*u - p - 21. What is the remainder when 63 is divided by u?
7
Let y be (-3)/(-3 - 270/(-88)). Let q be 1355/(-11) - 8/y. Let g = -87 - q. What is the remainder when g is divided by 19?
17
Let q be 12/5 + (-12)/(-20). Suppose 2*r = -2*h, 0 = -2*h + 7*h + q*r. Calculate the remainder when 11 is divided by h - (-1 + (-2 - 1)).
3
Suppose 0 = i - 5*o + 9, -5*i - 7 = 2*o - 70. What is the remainder when i is divided by 4?
3
Let n = 3 - 2. Calculate the remainder when 3 + -1 + n + 27 is divided by 11.
8
Let g = -26 + 49. Suppose 0 = -4*s + 18 + 14. What is the remainder when g is divided by s?
7
Let a = -23 - -41. What is the remainder when 89 is divided by a?
17
Let t = -214 - -221. Calculate the remainder when (-1 + -2)/((-3)/34) is divided by t.
6
Let c(k) = -k**3 + 13*k**2 - 4*k - 26. Calculate the remainder when c(12) is divided by 19.
13
Let p(a) = -a**3 + 1. Let y be p(0). Suppose 0*t + 3*t = 9, 0 = -3*j + 5*t - 6. Calculate the remainder when 6 is divided by (-1)/(j/(-12)*y).
2
Let f be (-8)/(-2) - (-13 - -13). Suppose 4 = -4*v, f*v + 181 = -0*p + 3*p. Calculate the remainder when p is divided by 15.
14
Let v(h) = -h**3 - 9*h**2 + 2*h + 11. Let m be v(-9). Let p = m + 10. What is the remainder when (-40)/(-6) + 1/3 is divided by p?
1
Let z be (-26 - (0 + 2))*-1. Let l = 50 - z. Calculate the remainder when l is divided by 12.
10
Calculate the remainder when 57 is divided by (-10)/(-1)*((-14)/4 - -5).
12
Let z(o) = -o**2 + 8*o - 2. Let d(a) = a**3 - a - 2. Let v be d(2). Suppose 2*q = 10, -5*f + 28 = v*q - 82. What is the remainder when f is divided by z(6)?
8
Let w(h) = 14*h - 8. Let o(x) = 7*x - 4. Let f(v) = -7*o(v) + 4*w(v). What is the remainder when f(5) is divided by (0 - 33)*(-1)/3?
9
Suppose -2 - 6 = -4*u + 4*b, 0 = 5*u - 3*b - 16. Suppose -5*p + 2*h - 7 + 57 = 0, -52 = -4*p + 4*h. What is the remainder when p is divided by u?
3
Let q(k) = -k + 7. Let m be q(6). Calculate the remainder when -4 + m - 185/(-5) is divided by 0 + -1 - -13 - 0.
10
Suppose 4*k + 1 + 0 = -3*x, 37 = 5*x - 3*k. Suppose -2*g = -x - 25. Calculate the remainder when g is divided by 8.
7
Suppose -h = 3 + 7. Let c = 15 + h. Calculate the remainder when 19 is divided by c.
4
Suppose -2*s + 6 = 4*a, 0*s - s + 2 = a. What is the remainder when (-329)/(-14) + 2/4 is divided by (3 - s)*36/8?
6
Suppose s - 4 = -2. Suppose s*i - 100 = -3*i. Calculate the remainder when i is divided by 7.
6
Suppose 3*z - 5*g - 27 = 34, 0 = -4*z + 3*g + 63. What is the remainder when 21 is divided by z?
9
Suppose -4 = -2*r + 2, -39 = 3*x - 4*r. Let y = 6 - x. Let f(v) = v**3 + 6*v**2 + 3. What is the remainder when f(-5) is divided by y?
13
Suppose 4*d = d + 21. Let w = d - 12. Calculate the remainder when 7 is divided by ((-2)/w)/((-1)/(-10)).
3
Let h = 21 + 12. What is the remainder when h is divided by 12?
9
Let r = 5 - 1. Let p = -2 + r. Suppose l = -p*j + 21, -l - 2*j = j - 20. What is the remainder when 44 is divided by l?
21
Suppose -5*j - y = 3 - 18, -5*y = 5*j - 35. Suppose 0 = 5*r - 0*c + 3*c - 382, -j*c = 2. What is the remainder when r is divided by 20?
17
Let o = -8 - -12. Suppose -2*y = -w - 37, -o*y - 3*w = w - 92. What is the remainder when 38 is divided by y?
18
Let r(z) be the third derivative of z**6/120 - z**5/60 - z**4/8 - z**3/3 - z**2. What is the remainder when 18 is divided by r(3)?
4
Suppose z + 78 = 4*z. What is the remainder when 76 is divided by z?
24
Let u(a) = -5*a - 1. What is the remainder when (0 + 2)*(-6)/(-12)*56 is divided by u(-6)?
27
Let q = -257 + 385. What is the remainder when q is divided by 26?
24
Calculate the remainder when 22 is divided by 2*5/(-3)*(-27)/15.
4
Suppose -8*w + 828 = -4*w. What is the remainder when w is divided by 42?
39
Let u(f) be the second derivative of -5*f**3/6 - 3*f**2 + 3*f. Let m = 69 + -14. What is the remainder when m is divided by u(-5)?
17
Let j be 3 + -4 + 2 + 1. Let w(z) = z + 1. Let k be w(5). Let l = k - j. Calculate the remainder when 6 is divided by l.
2
Let k(a) = -a - 1. Let x be k(-4). Suppose 8*d - 541 + 5 = 0. Suppose 19 = -x*o + d. What is the remainder when 31 is divided by o?
15
Let o(g) = g**3 + 8*g**2 - g + 8. Let y(x) = -x + 1. Let n(d) = -o(d) - 5*y(d). What is the remainder when n(-9) is divided by 5?
4
Let v = -12 - -8. Let x = 9 + v. Let n = 4 - 2. What is the remainder when x is divided by n?
1
Let o be 17/3 + 2/(-3). Suppose -11 - 24 = -o*r. Calculate the remainder when 12 is divided by r.
5
Suppose -3*x - 3*j = -51, 3*x + 5*j - 1 = 4*x. Calculate the remainder when x is divided by 5.
4