alculate the remainder when f is divided by 7.
5
Calculate the remainder when (-19)/(4/(5 + -33)) is divided by 74.
59
Suppose 4*s - 3*f - 70 = 0, 3*f - 2*f + 18 = s. Suppose 0*c + 2*c = 90. What is the remainder when c is divided by s?
13
What is the remainder when 100 is divided by (-9)/(63/(-28))*6?
4
Suppose -u - 29 - 11 = -3*y, 0 = y + 5*u - 8. What is the remainder when 230 is divided by y?
9
Let q = -76 + 107. Suppose 80*c = 70*c + 1220. What is the remainder when c is divided by q?
29
Let d = 0 + 3. Suppose -7 - 17 = -3*z + 4*s, 2*s + 18 = d*z. Let t(r) = 3*r - 2. Calculate the remainder when t(4) is divided by z.
2
Calculate the remainder when 2 + -1 + 1 + 69 is divided by 17*(2 + -1) - (-21 + (14 - -5)).
14
Let o(b) = -b**3 + 6*b**2 + 2*b - 9. Let v be o(6). Suppose 5*w + 486 = 4*k, -8*w + v*w = -3*k + 362. Calculate the remainder when k is divided by 18.
16
Let w be ((-12)/42)/((-3)/42). Suppose 2*j - 5*j - w*l = 14, -l + 3 = 4*j. Calculate the remainder when 8 is divided by j.
0
Suppose -9*p = -53 - 64. What is the remainder when 19 is divided by p?
6
Let l(r) = r**3 + 9*r**2 + 12*r + 8. Calculate the remainder when 100 is divided by l(-7).
12
Let s(l) = -5*l - 12. Let i = 38 - 43. Calculate the remainder when 77 is divided by s(i).
12
Let c(f) = -f**2 + 14*f + 9. What is the remainder when 112 is divided by c(7)?
54
Let a(r) = r**3 + 4*r**2 + 2*r. Let s be a(-2). Suppose 3*w = t + 6, -s*t = w + 87 + 2. What is the remainder when 38 is divided by 2/(-3)*t - 1?
12
Suppose 5*b + 144 - 214 = 0. What is the remainder when b is divided by 7?
0
Let m = 80 - 38. Let t = m - 32. Calculate the remainder when 17 is divided by t.
7
Let u(c) = -c**3 + 8*c**2 - 7*c + 2. Let y be u(7). Suppose -2*x + 324 = y*x. What is the remainder when x is divided by 159/6 + ((-42)/4)/(-7)?
25
Let d(x) = -9*x + 137. What is the remainder when 144 is divided by d(12)?
28
Let s(q) = -q**2 - 35*q + 8. Calculate the remainder when s(-34) is divided by 31.
11
Let u = 168 - 95. Let l(a) = -a**2 + 14*a + 19. Calculate the remainder when u is divided by l(0).
16
Let m = -91 - -91. Suppose 2*d + 4*f - 188 = m, -4*d + 5*d - 5*f - 59 = 0. What is the remainder when d is divided by 19?
8
Suppose 2*b = -0*b + 72. Suppose -2*y - 21 = j, -2*j + 5*y - 60 = -0*j. Let q = j + 44. What is the remainder when b is divided by q?
17
Let w(c) = 23*c**3 + c**2 - 1. Calculate the remainder when 24/15 + -2 + (-1554)/(-35) is divided by w(1).
21
Let i be 533/3 + 2/6. Let j = -35 + 58. Calculate the remainder when (i/(-6))/((-2)/6) is divided by j.
20
Let r(i) = -33*i - 1. Let x = 15 - 30. Let s = -16 - x. Calculate the remainder when r(s) is divided by 12.
8
Let m = 47 + -14. What is the remainder when m is divided by 5?
3
Let r be ((-40)/(-15) - 2)*6. Calculate the remainder when (1 - (-52 - r)) + 2 is divided by 10.
9
Suppose 28 = -d + 5*q, -2*d + 28 = -3*d - 3*q. Let a = d + 34. What is the remainder when 27 is divided by a?
3
Let s = 52 - -45. Let c = 115 - s. What is the remainder when 88 is divided by c?
16
Let f(c) = c**3 - 57*c + 6. What is the remainder when 866 is divided by f(8)?
60
Suppose -5*p - 5 = -2*y + 5, 4*y - 5*p - 10 = 0. Suppose y = -6*h + 2*h + 60. Calculate the remainder when h is divided by 10.
5
Let h be (4 - 19/1)/1. Let t(m) = 2*m**3 + 32*m**2 + 18*m + 6. What is the remainder when t(h) is divided by 17?
16
Suppose -5*m - 34 = -3*c, 0 = -3*c - 3*m + 7*m + 35. What is the remainder when 36 is divided by c?
10
Let c(t) = -2*t - 4. Let o be c(2). Let m = o - -8. Suppose -h + m*h = -7. What is the remainder when 27 is divided by h?
6
Suppose 0 = -5*p + 20, 3*g + 0*p - 13 = -4*p. What is the remainder when 23 + -1 + g/(-1) is divided by (-6)/24 + (-49)/(-4)?
11
Suppose j - 51 = 2*v, 14*j - 17*j - 5*v + 142 = 0. Calculate the remainder when 1174 is divided by j.
47
Let r(x) be the second derivative of -x**5/20 + x**4/12 + 9*x**2 + x. Let n = 1102 - 1102. What is the remainder when r(n) is divided by 3?
0
Suppose 3*f - 43 = -3*m - 1, -32 = -2*m - 3*f. What is the remainder when 217 is divided by m?
7
Suppose 2 + 37 = f - 2*x, 0 = -f - x + 27. Calculate the remainder when 119 is divided by f.
26
Let u(j) be the third derivative of 25*j**4/24 + j**3/3 + 9*j**2. Calculate the remainder when 104 is divided by u(1).
23
Suppose -2*d = -10, -2*y + d + 3 = -0. Suppose y*o + 4*l - 62 = 2*o, 8 = 2*l. What is the remainder when o is divided by -8 + 7 + (-12)/(-2)?
3
Let u(d) = -d**3 + d + 1. Let p(z) = 6*z**3 - 6*z**2 - 13*z + 1. Let c(w) = -p(w) - 5*u(w). Calculate the remainder when 1/2*6/3 is divided by c(7).
0
Suppose -f - 70 = -5*f + 2*t, -64 = -4*f - 4*t. Calculate the remainder when 268 is divided by f.
13
Let a(h) = h**3 - 8*h**2 + 2*h - 12. Let g be a(8). Suppose x - g = 3. What is the remainder when x is divided by 6?
1
Let d(x) = x + 14. Suppose 0 = 4*f + 2*g - 48, 8*g - 5*g + 32 = 2*f. Calculate the remainder when d(10) is divided by f.
11
Let l(j) = j + 71. What is the remainder when l(18) is divided by 34?
21
Let d = 12 + -9. Calculate the remainder when d is divided by 1.
0
Let a = 28 - 20. Let r(y) = -y**2 + 7*y + 31. Calculate the remainder when r(a) is divided by 14.
9
Let z = -889 - -923. Calculate the remainder when 197 is divided by z.
27
Let n(o) = -38*o**3 - 3*o**2 + 2*o + 3. What is the remainder when 127 is divided by n(-1)?
19
Let x = -7772 + 7773. Let l = 15 + -11. Calculate the remainder when l is divided by x.
0
Let a be (4 - -2)/(2 + -4) - -9. Let i(z) = -z**3 + 5*z**2 + 1 - 2 + 0 + 8*z. Calculate the remainder when 53 is divided by i(a).
9
Let p be (2/(-4))/((-7)/798). Let q be 8/(-60) - 2854/(-30). Let x = q - p. Calculate the remainder when x is divided by 13.
12
Let n be (-14)/2 + 4 + -1. Let a(h) = -h - 4. Let v be a(n). Suppose v = -3*q - 0*q + 81. Calculate the remainder when 79 is divided by q.
25
Suppose 0 = 3*n + 2*n - 25. Suppose 0 = -4*m, n*c = -2*m + 4*m - 25. Let g(r) = r**2 - 6*r + 5. Calculate the remainder when g(c) is divided by 21.
18
Let z(g) = 7*g**2 + 4*g + 12. Calculate the remainder when 187 is divided by z(-3).
61
Let y = -9 - 5. Let m(g) = -g**2 - 14*g + 6. Let b be m(y). Suppose -25 = -b*q + q. What is the remainder when q is divided by 4?
1
Let v = 7 + -1. Suppose r + 3*i - 1 - 4 = 0, 3*i - 7 = -2*r. Suppose 2*u + 5*m - 73 = 0, u + 26 = r*u - m. What is the remainder when u is divided by v?
5
Suppose 15*s - 3*s - 8040 = 0. What is the remainder when s is divided by 15?
10
Let p = 6 + 2. Let k(w) = 4*w - 19*w**2 - w**3 + 6*w - 5 - p + 30*w**2. What is the remainder when k(11) is divided by 25?
22
Let t = 7 - 2. Let x(s) = 5*s**2 - 2*s + 4. Let o(y) = -y**3 - 12*y - 33. Calculate the remainder when x(t) is divided by o(-3).
29
Let z = 1925 + -1874. What is the remainder when 127 is divided by z?
25
Suppose -5*b - 60 = -5*g, 0 = g - 3*g - b + 39. Let a(r) = 4*r**3 + r. Let n be a(1). Let p = n + 4. Calculate the remainder when g is divided by p.
8
Let k = 215 + -214. Let z(b) = b**2 + 2*b - 5. Let a be z(-4). Suppose -a*d + d = -4. Calculate the remainder when d is divided by k.
0
Suppose 16*q - 277 = 91. Calculate the remainder when 294 is divided by q.
18
Suppose 28 = 9*u - 17. Let j(x) = x**2 - 4*x - 4. What is the remainder when j(7) is divided by u?
2
Let r(z) = -2*z**3 + 6*z**2 + 2*z + 7. Let o be r(3). Let t = o - 8. Suppose -m - 2*m = -42. Calculate the remainder when m is divided by t.
4
Calculate the remainder when 578 is divided by (-8)/(-18) + 743/9.
80
Suppose 279 = 3*r - 5*p, 193 + 291 = 5*r - 2*p. What is the remainder when 191 is divided by r?
93
Suppose -15 = -3*x + 5*z, 7*x - 5*x + z + 3 = 0. Suppose 5*p - y - 283 = 0, x = -4*p - 0*y + y + 227. What is the remainder when p is divided by (-1)/(-2)*58*1?
27
Let h(m) = 46*m**2 + 5*m - 8. Calculate the remainder when h(2) is divided by 48.
42
Let t be (-5)/1 + (1 - 0). Let k(o) = 2*o**3 - 2*o**2 - 6*o - 2. Let n be k(t). What is the remainder when 67 is divided by 4/(-6)*n/4?
21
Suppose -2*j = -3*w + 7, 0*w + 1 = -j + w. What is the remainder when 24 - (j + 0 - 3) is divided by 12?
11
Suppose 4*q + 41 = 5*x, 0 = 5*x + 2*q - 60 + 13. Let y(k) = 2*k + 1. Let p be y(4). Suppose p = z - 16. Calculate the remainder when z is divided by x.
7
Let y be 3/(-15)*0 