alculate the remainder when f is divided by 7.
6
Let v = 111 - 103. What is the remainder when 13 + 133 - v/(-2) is divided by 22?
18
Let t = 33 - -8. Let m = 2 + t. Calculate the remainder when m is divided by 12.
7
Let k(v) = -2*v**2 - 7*v + 0*v + 13*v. Calculate the remainder when 9 is divided by k(1).
1
Let q(t) be the second derivative of 13*t**3/6 + 47*t**2/2 - 42*t. Calculate the remainder when 46 is divided by q(-3).
6
Let r(a) = -a**3 - 4*a**2 + a + 11. Let p(f) = -f - 3. Let j be p(-4). Calculate the remainder when (-1 - 18)*(-1)/j is divided by r(-4).
5
Let o(j) = -8*j**3 - 3*j**2 - 2*j - 2. Suppose g - 9 = 2*r, -g + 3*r + 7 + 1 = 0. What is the remainder when o(-2) is divided by g?
10
Let d = -60 + 92. Suppose -2*r - 13 + 4 = -5*b, r + 3*b = 12. Suppose d = r*t - t. What is the remainder when t is divided by 9?
7
Let c(b) = b**3 - 10*b**2 - 10*b - 9. Let s be c(11). Let h = s - -2. Calculate the remainder when 17 is divided by ((-15)/(-6))/1*h.
7
Suppose -3*t + 5348 = 11*t. What is the remainder when t is divided by 65?
57
Suppose 0 = -5*i - i + 234. Suppose -3*c = -k + 2*c + i, -36 = -4*k - 4*c. What is the remainder when k is divided by 8?
6
Suppose m - x = 2 + 3, m + 2*x = 8. Let i be ((-6)/4)/(-3)*54. Let g = i - 25. Calculate the remainder when m is divided by g.
0
Let g(a) = -a**3 - 2*a**2 - 7. Let h be ((-2)/1 - -1)*6. What is the remainder when g(h) is divided by -2*(31*1/(-2) + 72/(-36))?
32
Let h = 155 - 152. What is the remainder when 39 is divided by h?
0
Let b be (3 - 9/3)/(-3). Suppose b = 3*w + 4*c - 27, -w - 2*w + 36 = c. Calculate the remainder when 63 is divided by w.
11
Let f(y) = 37 - 26 - 2*y - y - 2*y. What is the remainder when 110 is divided by f(-9)?
54
Let b be -1 - 16/((-1)/1). Let w be 3 - 7 - -58 - -2. What is the remainder when 48 is divided by 10/b + w/6?
8
Suppose 0 = t - 6*i + i - 21, 0 = -2*i - 4. What is the remainder when 79 is divided by t?
2
Suppose -4*t + 340 = -4*f, 4*f = -f - 25. Suppose t = 2*u + 3*u. Let x(g) = -140*g - 830. Calculate the remainder when u is divided by x(-6).
6
Let f be ((-9)/(-6))/(1/2). Suppose 0*g + f*g = -4*t + 4, 0 = 5*g. What is the remainder when 43 is divided by (-1)/(-2*t/30)?
13
Suppose 5*c - 208 = 3*c. Suppose 0 = 4*l - 0*l - c. What is the remainder when l is divided by 15?
11
Suppose 0 = -r - 55 + 60. Let a(o) = 28*o**3 + 2*o - 3. Calculate the remainder when a(1) is divided by r.
2
Let p(s) = 2*s**3 - 20*s**2 + 11*s - 3. What is the remainder when p(10) is divided by 18?
17
Let v(m) = 2 - 9*m**2 - 11*m**2 + 23*m**2 + 5*m**3 - 4*m. What is the remainder when v(2) is divided by 12?
10
Suppose 5*t - 3*a - 19 = 0, -t + 5*a = -0*t + 5. What is the remainder when 52 is divided by t?
2
Let f = -12 + 37. Let u = f - 19. Suppose 240 = u*a - a. Calculate the remainder when a is divided by 13.
9
Suppose 0 = 45*v - 632 - 313. Let w(d) = d**2 + 4*d + 3. Calculate the remainder when w(-8) is divided by v.
14
Let c(n) = 6*n + 1. Let x be c(3). Suppose 1 = -2*f - 9. Let m = x + f. What is the remainder when 26 is divided by m?
12
Let k(j) = 3*j**2 + 38*j + 124. Let x(r) = -r**3 + 7*r**2 + 5*r + 5. Let q be x(6). Let v = q - 36. Calculate the remainder when v is divided by k(-8).
11
Let d be -1 + ((-6)/(-1))/2. Suppose -11 = -4*x - r, 5*x - 5*r = 6 + 39. Suppose -x = -m + w - d*w, 8 = 2*m + 3*w. What is the remainder when m is divided by 1?
0
Suppose -f = -0*f - 9. Suppose f*a - 6*a = 114. What is the remainder when a is divided by 8?
6
Suppose -p + 1 = -2. Let o be 9 - p - (-1 + 3). Suppose 0 = -3*i - h + 51, -h = -o*i + 2*h + 81. Calculate the remainder when i is divided by 7.
4
Let o(v) = v - 7. Let b be o(-5). Let s(p) = -p**3 - 13*p**2 - 17*p. Calculate the remainder when s(b) is divided by 16.
12
Suppose -76 + 362 = 13*l. What is the remainder when 43 is divided by l?
21
Suppose 3*p + 0 = 6. Suppose 2*o + p*y + y + 108 = 0, 0 = -2*o - 5*y - 100. What is the remainder when 16 is divided by (-9)/5*o/18?
4
Let f = 33 - 16. What is the remainder when (-1 - -3)*(-390)/(-12) is divided by f?
14
Suppose -5*v + 2*a - 11 = -a, 4*a - 4 = 4*v. Let o = 13147 - 13076. Calculate the remainder when o is divided by v/18 + (-164)/(-9).
17
Let u = 48 + -33. Calculate the remainder when 1 + 0 + 45 + -4 is divided by u.
12
Suppose 3*x + 3*s = 2*s + 205, 4*x - s = 285. Suppose -4*f - f = -x. Calculate the remainder when f is divided by -2 + (-11 - -4 - -12).
2
Let d(g) = -g**2 - 13*g - 1. Let b(c) = c**2 + 15*c + 6. Let n be b(-13). Let f = n + 8. Calculate the remainder when d(f) is divided by 7.
4
Let a(q) = q**3 - q**2 - 7*q - 5. Suppose -4*x + 3 + 11 = y, -y + 3*x = -7. Calculate the remainder when a(4) is divided by y.
5
Suppose -13*t + 368 = 3*t. Calculate the remainder when 68 is divided by t.
22
Let m = -3 - -16. What is the remainder when 50 is divided by m?
11
Calculate the remainder when (12/(-18))/(4/(-438)) is divided by ((-675)/162)/(7/(-6) - -1).
23
Suppose a + 0*s - 220 = 2*s, -5*s - 443 = -2*a. What is the remainder when a is divided by 57?
43
Suppose 0 = -6*h + 372 + 246. Let j = 147 - h. Calculate the remainder when 128 is divided by j.
40
Suppose 0*r - 23*r = -414. Let d = 76 + -25. Calculate the remainder when d is divided by r.
15
Let r(q) = 18*q**3 + 11*q**2 - 6*q**3 - 5*q**3 - 8*q**3 + 7. Let v be 1 + 15*(-2)/(-3). What is the remainder when 19 is divided by r(v)?
5
Let w(i) = 23*i**3 + 3*i - 3. Let n(b) = b**2 - 5*b + 3. Let o be n(5). Suppose -2*d - 44 = -o*d. Calculate the remainder when d is divided by w(1).
21
Let z(c) = -3*c**3 - 2*c**2 + 4*c - 8. Let l(t) = 35*t**2. Calculate the remainder when z(-4) is divided by l(-1).
31
Let n be 2 - -10*(-9)/(-6). Suppose -t - 5 + n = 0. Calculate the remainder when t is divided by 7 + (0 - 3 - -3).
5
Let y(a) = -a**3 + 5*a**2 + 4*a. Let t be y(6). Let u = t + 21. Let r = -67 + 101. What is the remainder when r is divided by u?
7
Suppose 3*a - 205 = -4*s, -15*a + 3*s + 265 = -11*a. Calculate the remainder when a is divided by 48.
19
Let l = -324 + 462. Calculate the remainder when l is divided by 71.
67
Let z(x) = 2*x**2 - 13*x + 12. Let r be z(14). Let w = r - 24. Suppose 0 = 3*p - 9 + 21, -3*s + w = -3*p. Calculate the remainder when s is divided by 22.
18
Let j(s) = -s**3 + 19*s**2 - 20*s + 39. Calculate the remainder when 17 is divided by j(18).
2
Suppose -4*o + 45 = -39. Suppose -w - 16 = 2. Let p = w - -58. Calculate the remainder when p is divided by o.
19
Suppose -20 = -31*o + 21*o. Suppose -5*n + 25 = 0, -y = 4*y + n - 15. What is the remainder when 17 is divided by o - y/((-4)/6)?
2
Let l(i) = i**3 + 8*i**2 - 8*i + 12. Let d be l(-9). Calculate the remainder when -1 + 68 - d - 2 is divided by 21.
20
Suppose 0 = 3*q - 4*o - 455, 0 = -5*q - 2*o + 504 + 289. Calculate the remainder when q is divided by 40.
37
Suppose 3*c = -u + 53, -2*c - u + 38 = u. Suppose -5*f = -2*b - 40 - 59, -f + c = b. Suppose 2*v - 54 - 58 = 0. What is the remainder when v is divided by f?
18
Suppose 2*o = 14 + 4. Let f(w) = w**3 - 9*w**2 + w + 2. Let d(j) = 3*j**3 - 5*j**2 + 3*j - 4. Calculate the remainder when d(3) is divided by f(o).
8
Let p be ((-6)/45*-5)/((-1)/(-3)). Suppose -10 - 162 = -4*t + 4*r, 91 = p*t - r. Calculate the remainder when t is divided by 17.
14
Let q = 84 + 30. Let y(p) = -2*p**2 + p + 29. What is the remainder when q is divided by y(0)?
27
Let w(y) be the third derivative of 0 - 5/6*y**3 - 7/12*y**4 - 5*y**2 + 0*y. Calculate the remainder when w(-5) is divided by 17.
14
Let j(l) = -l**3 + 10*l**2 - 15*l + 3. What is the remainder when 900 is divided by j(8)?
9
Calculate the remainder when -1 + ((-23)/(-69))/(1/87) is divided by 11.
6
Let f = -1155 + 1218. Calculate the remainder when f is divided by 19.
6
Let v be (-2 - -8)/(-3) + 2. Suppose d + 5 = -4*r, 4*r + v*d = -5*d + 7. Let o = r + 33. What is the remainder when o is divided by 17?
14
Calculate the remainder when 1288/63 - (-8)/(-18) is divided by 8.
4
Suppose -16*n = -14*n - 70. What is the remainder when 72 is divided by n?
2
Suppose -11*z - 114 + 433 = 0. What is the remainder when 77 is divided by z?
19
Let h(b) be the first derivative of -3*b**2/2 + 21*b + 19. What is the remainder when 41 is divided by h(4)?
5
Let n = -48 - -81. Let z = 282 - 270.