 remainder when 326/8 + 7/28 is divided by t.
13
Let l(o) = -o**3 - o + 8. Let f be l(0). Let h = -251 + 258. Calculate the remainder when h is divided by (f/10)/((-1)/(-5)).
3
Suppose -3*s + 6*s = -x + 10, 0 = -x - 2*s + 5. Let r(a) = a**2 + 4*a + 6. What is the remainder when 43 is divided by r(x)?
10
Let b(c) = 7*c + 2. Calculate the remainder when b(8) is divided by 15.
13
Let q = -119 + 134. Suppose u + 1 - 6 = 0, 45 = 5*o + 5*u. What is the remainder when q is divided by o?
3
Let a = -43 - -62. Let j(b) = 5*b + 1. Calculate the remainder when j(11) is divided by a.
18
Let z = 10 + -4. Let p be (1 - 3)*11/(-2). Suppose -55 + p = -4*x. What is the remainder when x is divided by z?
5
Calculate the remainder when 1 is divided by (5/1 - 4)/(2/2).
0
Let i = 0 + -1. Let g = i + -5. Let v = 5 - g. Calculate the remainder when 20 is divided by v.
9
Let z(m) = 5*m - 1. Let h be z(3). Suppose 5 = -3*a + h. Calculate the remainder when a/9 + 244/6 is divided by 14.
13
Let t(d) be the third derivative of -d**5/60 + 11*d**4/24 - 11*d**3/6 + d**2. Let m be (-8 - (-3 - -3))*-1. What is the remainder when 38 is divided by t(m)?
12
What is the remainder when (-1)/((-2)/(78 + 4)) is divided by 15?
11
Let f(v) = -23*v - 9. Calculate the remainder when f(-4) is divided by 28.
27
Suppose -i = i - 40. What is the remainder when 39 is divided by i?
19
Let s = 50 - 35. What is the remainder when s is divided by 4?
3
Let i = 27 + -16. Let n(z) = z**2 + 9*z - 3. Let y be n(6). Let v = y + -55. What is the remainder when v is divided by i?
10
Let s(i) = -i**3 - 5*i**2 - i - 7. Suppose 40 - 16 = -4*h. Let y be s(h). Let f = 72 - y. What is the remainder when f is divided by 13?
11
Let o(c) = c + 10. Let y(p) = p**3 + p**2 - 8*p - 9. Calculate the remainder when o(0) is divided by y(-2).
1
Suppose -5*n + 272 = 77. Calculate the remainder when n is divided by 14.
11
Suppose -4*t + 34 = -70. What is the remainder when t is divided by 15?
11
Calculate the remainder when 100 is divided by (442/(-39))/((-2)/6).
32
Calculate the remainder when (258/15 - 4)*10/3 is divided by 15.
14
Suppose 2*z - 106 = -4*n, -z + 159 = 2*z + 2*n. Let a(c) = c**2 + 8*c + 9. Let k = -28 + 19. Calculate the remainder when z is divided by a(k).
17
Let r(d) = -d**2 + 7*d - 1. Calculate the remainder when 29 is divided by r(3).
7
Calculate the remainder when 121/2 + ((-5)/2)/(-5) is divided by 16.
13
Let b be (0/(-2) + -62)/1. Suppose -5*w + 12*w = -903. Let m = b - w. Calculate the remainder when m is divided by 23.
21
Let a be (-4)/(-6) + 58/3. Suppose 3*p - a = 1. Suppose -q + 2 = 0, 2*t - 4*q + 5 = t. Calculate the remainder when p is divided by t.
1
Let s(a) = -a**2 + 16*a - 23. Calculate the remainder when 62 is divided by s(12).
12
Let h = -92 - -130. Calculate the remainder when h is divided by 10.
8
Let h = 170 + -129. What is the remainder when h is divided by (1 - 0)/((-1)/(-15))?
11
Suppose 0 = -z - 3*y + 7, 4*z + 2*y = -z + 35. Let v(c) be the second derivative of -c**3/6 + 5*c**2 + 5*c. Calculate the remainder when 5 is divided by v(z).
2
Let y = -61 + 2. Let n = 86 + y. Calculate the remainder when n is divided by 4/14 - (-96)/7.
13
Suppose 36 = 2*g - 14. Let u(h) = 2*h**2 + 13*h - 18. What is the remainder when u(5) is divided by g?
22
Let c = -2 - 19. Let g be 5/(24/c - -1). Let d = -21 - g. Calculate the remainder when 41 is divided by d.
13
Let p(q) = 25*q - 94. What is the remainder when 117 is divided by p(5)?
24
Suppose 7 = 4*b - 13. Let r = 3 + 7. Suppose 3*v + 1 - r = 0. What is the remainder when b is divided by v?
2
Let a = 10 + 29. What is the remainder when a is divided by 14?
11
Suppose 0*d = -2*d - 2. Let w = 7 + d. Calculate the remainder when (198/(-24))/((-3)/8) is divided by w.
4
Suppose 6*d = 11*d - 265. Calculate the remainder when d is divided by 1/(-4) + (-57)/(-4).
11
Suppose 18 = 5*l - 12. Suppose -5*k + 15 = 0, t - 7 = -0*k - k. Calculate the remainder when 3 - (t + -23) - -1 is divided by l.
5
Let k(x) = -x - 4. Let t be k(-8). Suppose 4*u + 3*n = 4*n + 232, 232 = t*u + 2*n. What is the remainder when u is divided by 12?
10
Suppose 17 + 24 = p - w, w = -2*p + 85. What is the remainder when p is divided by 17?
8
Suppose -5*o + 92 = -83. What is the remainder when o is divided by 19?
16
Let d = -33 + 48. Calculate the remainder when 70 is divided by d.
10
Let g = 96 - 69. What is the remainder when 51 is divided by g?
24
Let m = -25 - -39. Let w(z) = -z**3 - 5*z**2 + 3*z + 9. What is the remainder when w(-6) is divided by m?
13
Let o(h) = -h**2 + 5. Let q be o(-6). Let w(j) = -8*j + 32. Let f be w(-8). Let c = f + q. Calculate the remainder when c is divided by 17.
14
What is the remainder when (-1*2)/(36/(-414)) is divided by 3?
2
Let u = -60 + 87. What is the remainder when 53 is divided by u?
26
Suppose -a - 1 = -5, 3*o + 3*a = 42. What is the remainder when 18 is divided by o?
8
Suppose a + 6 = 4*a, -5*r - 5*a = 130. Calculate the remainder when (-612)/r - (-1)/7 is divided by 8.
6
Let q = 13 - 7. Let h(y) = -9 - 3*y + 3*y + 3*y. Calculate the remainder when 26 is divided by h(q).
8
Suppose -17*d + 12*d = -505. Let o = 53 - 19. Calculate the remainder when d is divided by o.
33
Let b(q) = 2*q**2 - 3*q - 5. What is the remainder when 59 is divided by b(4)?
14
Suppose 0 = -3*v + 10*v - 168. What is the remainder when 95 is divided by v?
23
Suppose 10*z - 64 = 8*z. What is the remainder when z is divided by 17?
15
What is the remainder when 4 + (13 - 1)*(-12)/(-8) is divided by 6?
4
Let t(o) = o**3 - 5*o**2 + 4*o - 6. Let u(s) = -s + 29. What is the remainder when u(-12) is divided by t(5)?
13
Let x(l) = -l**3 + 5*l**2 - l + 3. What is the remainder when x(3) is divided by 10?
8
Suppose 5*w = 7 + 3. Suppose -3*b + 22 = -b - 5*k, w*b - 22 = k. What is the remainder when b is divided by 4?
3
What is the remainder when (6/5)/((-6)/(-100)) + 2 is divided by (-2)/(-4)*(-96)/(-6)?
6
Let a be (-1)/(-2) - (-5)/(-2). Calculate the remainder when 43 is divided by ((-5)/2)/(a/12).
13
Let q(u) = u**3 + 8*u**2 + 8*u - 6. Let b(n) = -50*n**3 + n**2 + 2*n + 2. What is the remainder when b(-1) is divided by q(-6)?
15
Suppose 3*l + 98 = 4*l. What is the remainder when l is divided by 25?
23
Let d = 13 + -5. Calculate the remainder when -16*(-6)/3 - 1 is divided by d.
7
Suppose 0 = -3*a + 4*b - 10, 0 = -2*a + 5*b - b - 12. Let v = a + 2. Suppose -p + v = 4*z + 5, 5*p = -3*z - 22. Calculate the remainder when 1 is divided by z.
0
Suppose -48 = -0*s - 4*s. Let w(j) = 2*j + 8. What is the remainder when w(13) is divided by s?
10
Let z = 2 - -5. Suppose -x - 35 = -3*f - 3*x, -x - 67 = -5*f. Calculate the remainder when f is divided by z.
6
Let g = 7 - 5. Let d be (-1)/(-1)*(1 - 34). What is the remainder when 18 is divided by d/(-3) - (g + -1)?
8
Let r(b) = b + 30. Calculate the remainder when r(-18) is divided by 3/(-12) + (-13)/(-4).
0
Let x(d) = 4*d**2 - 6*d + 1. Calculate the remainder when x(5) is divided by 18.
17
Let v = -5 + 10. Suppose v = 3*a - 10. Suppose -a*m + 4*m = 5*l - 20, -3*m = -l + 4. What is the remainder when l is divided by 3?
1
Suppose -5*x + 3 = 4*a, 0 = 3*a - x + 7 + 5. Calculate the remainder when a*1/(6/(-176)) is divided by 18.
16
Suppose 0*a - a = 0. Suppose a*p - 2*p = 0. Suppose -3*o + 2*c + 216 = p, -3*o + 2*c + 207 = 3*c. Calculate the remainder when o is divided by 24.
22
Let f = 36 + -54. Let c = 1 - f. What is the remainder when c is divided by 10?
9
Suppose -2*j + 4*i = -7*j + 15, -3*i = -3*j - 18. Let g be 0/j - (2 + 1). Let t(f) = -2*f - 1. What is the remainder when 13 is divided by t(g)?
3
Suppose 26 = -0*v + v. What is the remainder when v is divided by 7?
5
Suppose 7*j - 48 = 5*j. What is the remainder when j is divided by 9?
6
Let u(y) = -y**2 + 13*y + 13. Suppose 0 = -3*i + 5 + 49. What is the remainder when u(11) is divided by i?
17
Suppose -2*f + 143 = 7. Let j(s) = -2*s**3 - 5*s**2 - 2*s - 1. Calculate the remainder when f is divided by j(-3).
12
Let c = -10 - -25. Calculate the remainder when 2/5 + 429/c is divided by 8.
5
Suppose -5*h + 20 = -4*h. What is the remainder when 38 is divided by h?
18
Suppose b + 2 = -b - 4*z, 0 = 4*z + 8. Let l = -11 - -18. Suppose -37 + l = -b*c. What is the remainder when c is divided by 6?
4