emainder when 152 is divided by w.
22
Let v(i) = -i**3 + 9*i**2 + 4*i - 6. Let p be 2/3*(27/(-2))/(-1). Calculate the remainder when v(p) is divided by 8.
6
Let d be (-31)/3*(-18 + 15). Let x = d + -28. What is the remainder when -35*(27/(-5))/x is divided by 16?
15
Calculate the remainder when 6/(-4)*(-6)/9*247 is divided by 15.
7
Suppose -4*t = -5*t + 3*q - 3, -4*q + 43 = 3*t. Let s(m) = -2*m**2 + 18*m + 8. Calculate the remainder when 39 is divided by s(t).
7
Suppose -a - 8 = i, -2*a + 0*a - 4*i - 10 = 0. Let w = -12 - a. Let n = 7 - w. What is the remainder when 29 is divided by n?
5
Let v(i) = i**3 - 4*i**2 - 3*i + 5. Suppose -2*b = 3*b - 490. Let d = b + -40. Calculate the remainder when d is divided by v(5).
13
Suppose 2*o + 5 = 3*o, o - 80 = -5*h. Let v be (-1 + 4 - 2) + h. Suppose r - v = -0*r. Calculate the remainder when r is divided by 9.
7
Let v = -28 - -33. Let x(o) = o**3 - 5*o**2 + 3*o + 3. What is the remainder when x(v) is divided by 7?
4
Suppose -3*l = -3*f - 2*f + 38, 36 = 2*f + 4*l. Suppose -f = -3*u - h, 5 = 5*u + 4*h - 7. Calculate the remainder when u is divided by 3.
1
Let q(v) = -v**3 - 3*v**2 + 14*v + 19. Let g(p) = p + 1. Let y(r) = 6*g(r) - q(r). Calculate the remainder when 36 is divided by y(-3).
3
Suppose -645 = 4*f - 9*f. What is the remainder when f is divided by 262/8 + (-10)/(-40)?
30
Suppose 6*p - 8*p + 4*v = -224, -4*v + 224 = 2*p. What is the remainder when p is divided by 17?
10
Suppose -2*h - 5*x = -4*x - 242, 4*h - x = 496. Calculate the remainder when h is divided by 21.
18
Let h(l) be the third derivative of -5*l**4/24 + 7*l**3/6 + 21*l**2. What is the remainder when 220 is divided by h(-2)?
16
Let s = -62 + 65. Suppose s*f + 32 = o, -o = 2*o - 4*f - 106. Calculate the remainder when o is divided by 13.
12
Let o(s) = -s**2 - 15*s - 2. Calculate the remainder when 471/7 - 2/7 is divided by o(-2).
19
Suppose -5*k = -3*g + 13, -2*k - 7 = -g + k. Let d(c) = 41*c**2 - c + g + 3*c - 39*c**2 - 43*c**3. What is the remainder when d(-1) is divided by 9?
8
Calculate the remainder when 323 is divided by (5*(-132)/275)/((-6)/45).
17
Let x = -1176 - -1282. What is the remainder when 107 is divided by x?
1
Let x = -4 + 8. Suppose 0 = -x*y + 2*y + 10. Calculate the remainder when (1*2)/((-11)/(-66)) + -4 is divided by y.
3
Suppose -3*q + 1 = 16. Let a(d) = -d - 3. Let m be a(q). Suppose 0 = -3*j - 4*t + 93, j = -m*t + 31 - 0. Calculate the remainder when j is divided by 16.
15
Let g = 317 - 220. Calculate the remainder when g is divided by 7.
6
Let f = 25 + -3. Let h(a) be the first derivative of 13*a**3/3 + 31. What is the remainder when f is divided by h(1)?
9
Let a(j) = -21*j + 276. What is the remainder when a(11) is divided by 3?
0
Suppose 41*f + 272 = 45*f. What is the remainder when f is divided by 24?
20
Let n = -741 - -1135. What is the remainder when n is divided by 50?
44
Suppose -2*t + 4*g + 154 + 28 = 0, 449 = 5*t - 4*g. Calculate the remainder when t is divided by 13.
11
Let p be 1 - (-2 - 0)*1. Suppose -4*r + 116 - 43 = 3*m, p*r - 63 = -5*m. Calculate the remainder when 46 is divided by r.
14
Let a(q) = -5*q**3 - 82*q**2 - 35*q - 35. Suppose 0 = 3*g - 10 - 11. Calculate the remainder when a(-16) is divided by g.
6
Let u(y) = -16*y + 72. What is the remainder when u(-5) is divided by 39?
35
Let a = -10 + 22. Let p = 29 + a. Let h(j) = j + 14. What is the remainder when p is divided by h(0)?
13
Let i = 5 - 6. Let o = i - -5. Let g = 11 - o. What is the remainder when 27 is divided by g?
6
Suppose -119*q + 267 = -1637. Calculate the remainder when q is divided by 3.
1
Suppose -3 - 2 = 5*w + 3*c, 5*w - 25 = 3*c. Suppose -x + 5*a + 52 = 0, -3*a + 5*a - 152 = -w*x. Calculate the remainder when x is divided by 13.
7
Suppose 5*i - 1 = o, -5*o - 6*i = -9*i - 17. Suppose o*u + 3*x = -0*x + 41, u = 3*x - 1. What is the remainder when 31 is divided by u?
7
Suppose -44 - 25 = -3*a. Let p be (18/3 + -2)/2. What is the remainder when a is divided by 8*3/4*p?
11
Let j = 10894 - 10884. Let q = -46 + 74. What is the remainder when q is divided by j?
8
Let y(c) = -2*c**3 + c**2 + 2*c - 1. Let x(s) = -s**3 - 10*s**2 - 4*s - 13. Let d be x(-6). What is the remainder when y(-2) is divided by d/(-38)*(-6)/(-7)?
0
Suppose -6 + 10 = h. Suppose 40*n - 32 = 36*n. What is the remainder when (-6)/h*-28 - -3 is divided by n?
5
Let u = 6 + 3. Let x = 59 - u. Calculate the remainder when x is divided by 11.
6
Suppose 8*g - 142 - 50 = 0. What is the remainder when g is divided by (-1)/(-5) + 192/15?
11
Let q(m) = 63*m**2 - 1. Suppose -2*p - 7 = -p + 3*k, -5*k = 3*p + 5. Suppose 5*n + 5 = 0, 2*n + 47 = p*w - 60. What is the remainder when q(-1) is divided by w?
20
Suppose 5*d + 0*o - 40 = -4*o, 8 = d - o. Calculate the remainder when 30 is divided by d.
6
Let y(s) = 3*s - 32. Suppose 20 = -v + 54. Calculate the remainder when v is divided by y(14).
4
Let n = 18 + 19. Calculate the remainder when -1 + n - (-8)/(-4) is divided by 9.
7
What is the remainder when 14 is divided by 8/48*-14*-6?
0
Let o(t) = t**3 - 4*t**2 - 4*t. Let k be o(5). Suppose -14 + 6 = -i. Suppose -a = -k*a + i. Calculate the remainder when 3 is divided by a.
1
Suppose 0*u - 3*u = 54. Let i = -2 - u. What is the remainder when i is divided by (-4)/(-8) - (-11)/2?
4
Suppose 0 = q - 389 + 369. Suppose 4*g - 2*n = 228, -4*g - 3*n + 189 = -g. Calculate the remainder when g is divided by q.
19
Suppose 44 = 4*i + 3*f, 2*f + 44 + 20 = 4*i. Suppose -2*x + 21 = -x + 3*r, 4*r = x - i. Calculate the remainder when 8/14 - 1416/(-21) is divided by x.
14
Let i be (9/1)/(-3)*(-33 + -3). Let x = -46 + i. Calculate the remainder when 246 is divided by x.
60
Suppose -3*q = -n - 15, -26 + 3 = -2*q + 5*n. Suppose -q*k - 51 = -w, -5*k = 2*w - 4*w + 102. What is the remainder when 202 is divided by w?
49
Let h(a) = -2*a**2 + 20*a + 33. What is the remainder when 181 is divided by h(10)?
16
Let y = -34 - -53. What is the remainder when (-4)/(-12) + 1 + (-848)/(-12) is divided by y?
15
Suppose 3*n + 43*f - 41*f = 1764, 4*n - f = 2352. Calculate the remainder when n is divided by 3.
0
Suppose -4*x + 0 + 32 = 0. Suppose 2*j - j = x. Let q(r) = 6*r + 64. Calculate the remainder when q(-7) is divided by j.
6
Let r(g) = -g**3 - 13*g**2 + 18*g + 69. What is the remainder when 233 is divided by r(-14)?
12
Let r(n) = n - 2. Let s be r(4). Suppose -67 + 8 = -3*k - s*x, -5*k - x = -96. Suppose 0 = -5*t + k + 236. What is the remainder when t is divided by 13?
12
Suppose -3*q + 4*y = -19, -5*y + 81 = 5*q - 9. What is the remainder when 77 is divided by q?
12
Suppose 0*i + 2*i = 64. Suppose -10*u + 147 = -23. What is the remainder when i is divided by u?
15
Let n = 13 - 10. Suppose i = n*d - 16, -4*d = -6 + 14. Let c = 31 + i. What is the remainder when c is divided by 5?
4
Let c = 43 - 19. Let t = -83 + 142. What is the remainder when t is divided by c/2 - (-7 + 4)?
14
Let k(r) be the second derivative of r**4/12 + 2*r**2 - 20*r. What is the remainder when k(0) is divided by 2?
0
Let x be 2/(-11) - 838/(-11). Suppose 38 + x = 3*f. Let h = f + -1. What is the remainder when h is divided by 13?
11
Let z(s) = -s**2 + s + 9. Let w be z(5). Let p(q) = -q**2 - 13*q - 14. Let f = -33 - -56. What is the remainder when f is divided by p(w)?
7
Let j(w) = -3*w + 48. What is the remainder when 177 is divided by j(6)?
27
Let d = -5958 - -5978. Let s = 2 - -5. What is the remainder when d is divided by s?
6
Calculate the remainder when (-2*(-3)/(-7))/((-3)/84) is divided by 10.
4
Suppose -3*j = -k - 39, j = 4*k + 11 + 13. Suppose 11*t = j*t - 10. What is the remainder when 29 is divided by t?
9
Let m be -13*1*((3 - -5) + -7). Let y = m - -54. What is the remainder when y is divided by 15?
11
Let k(a) = -a**2 - 12*a - 9. Let t be k(-11). Suppose -l - t*l - 573 = 0. Calculate the remainder when 106 is divided by l/(-7) + 6/(-21).
25
Suppose 5*o = 3*b - 834, 5*b - 6*o = -2*o + 1390. What is the remainder when b is divided by 5?
3
Let o(s) = 3*s - 51. Let x be o(18). Suppose -x*z + 270 = 6*z. Calculate the remainder when 59 is divided by z.
29
Calculate the remainder when (380/(-8))/(6/(-12)) is divided by 30.
5
Let b = 181 + -160. What is the remainder when b is divided by 13?
8
Let j = 153 - 88. Suppose 46 = 3