t f = o + c. What is the remainder when 15 is divided by f?
7
Suppose -5*n + 1754 - 599 = 0. Calculate the remainder when n is divided by 74.
9
Suppose 0 = -4*y + 3 - 3. Let k(q) = -3*q**2 - q + 5. What is the remainder when k(y) is divided by (1 - (1 - -1))*-2?
1
Let m = -1 - -63. Calculate the remainder when 105 is divided by (-6)/(-9)*(-2 - m/(-4)).
6
Let p(g) = 3*g**2 - 5*g + 15. What is the remainder when p(13) is divided by 17?
15
Let t(h) = 2*h - 7. Let v(p) = 2*p**2 - 4 + 3*p + 2 + 2*p**3 - 4*p. Calculate the remainder when v(3) is divided by t(12).
16
Suppose -u + 2*u = -13. Let i = -6 - u. Let y(x) = x**2 + 15. What is the remainder when y(i) is divided by 13?
12
Let w(i) = 3*i - 4. Let f be w(4). Suppose 861 = f*z - z. Calculate the remainder when z is divided by 42.
39
Let h = 204 - 157. What is the remainder when 137 is divided by h?
43
Suppose -5*i - q = -307, 2*q - 32 = -i + 33. Let z be (-177)/12 - 1/4. Let x = z + i. Calculate the remainder when x is divided by 16.
14
Suppose c - 21 = t, 57 = 3*c - 0*c + 3*t. Let b(k) = -4*k**2 + 64*k + 111. What is the remainder when b(17) is divided by c?
3
Let w(k) = -k**3 + 5*k**2 + 14*k + 3. Let j be w(7). Suppose y - 5*c = -0*y + 13, 0 = j*y + 3*c - 93. What is the remainder when y is divided by 10?
8
Let d be (4 + 36/(-10))*10. Suppose 5*p + 3*q - q = 245, -d*p + 196 = -q. Calculate the remainder when p is divided by 17.
15
Let s(j) = j**3 - 3*j**2 + j - 1. Let q be s(2). Let o = 20 + q. What is the remainder when 66 is divided by o?
15
Let u = -427 - -451. Calculate the remainder when 381 is divided by u.
21
Suppose -369 = -5*o - 2*r + 534, -3*o - 5*r + 557 = 0. What is the remainder when 185 is divided by o?
6
Let j = 43 - 16. What is the remainder when 78 is divided by j?
24
Let n(r) = 29*r - 13. Let c = 89 + -86. What is the remainder when n(c) is divided by 11?
8
Suppose 57 = 6*r - 3*r. Calculate the remainder when 220 is divided by r.
11
What is the remainder when 618 is divided by (10/6)/(4 - 161/42)?
8
Suppose 2*q = 2*h + 2*h - 110, 0 = -2*h + 2*q + 60. What is the remainder when 147 is divided by h?
22
Let b(q) = 8*q + 266. What is the remainder when b(-23) is divided by 6?
4
Let z(g) = g + 5. Let b be z(-3). Suppose -i - 5 = b*v, -5*i + 2*v + 1 - 14 = 0. What is the remainder when 28 is divided by (2 + 7)/(i/(-2))?
4
Let c be ((-16)/(4/1))/(4/(-204)). Suppose -5*p = -51 - c. Calculate the remainder when p is divided by 14.
9
Let p = -194 + 329. What is the remainder when p is divided by 23?
20
Let g(z) = -2*z**3 - 7*z**2 - 3*z + 5. What is the remainder when g(-5) is divided by 7?
4
Suppose -t + 1 = -4*f, -2*t = f + f - 2. Suppose f = q - b - 2, -4*b + 6 = -6. Calculate the remainder when 7 is divided by q.
2
Let g = 11 - 6. Suppose -g*n + 116 + 99 = 0. Calculate the remainder when 171 is divided by n.
42
Let d = -92 - -102. Let q be 143/2 + 2/(-4). Let z = q - d. Calculate the remainder when z is divided by 16.
13
Let t(g) = -g**3 - g**2 + 4. Let n be t(0). What is the remainder when (2 - 1)/(1/10) is divided by (n/2)/1 + 1?
1
Suppose 5*h = d - 7, -2*d + 4*h + h = -39. Let c(z) = z**2 - 3*z - 1. Let o be c(6). Let m = o + -5. What is the remainder when d is divided by m?
8
Suppose -790 = 8*m + 250. Let j = -105 - m. What is the remainder when j is divided by 10?
5
Let a be (-85)/(-10) - 2/(-4). Let u = 13 - a. Suppose -2*w = 3*f + 8, -13 = -u*w + 5*f + 15. What is the remainder when w is divided by 1?
0
Let v(k) = -k**3 - 14*k**2 + 15*k + 17. Suppose -2*u + 12 + 12 = 0. Suppose -d + 78 - u = 0. What is the remainder when d is divided by v(-15)?
15
What is the remainder when 52 is divided by 1976/(-78)*3/(-4)?
14
Suppose 46 = 5*q - 44. Let y be -1 + -2 + 58 + -52. Suppose q = v + y. What is the remainder when 42 is divided by v?
12
Calculate the remainder when 189 is divided by (3 - 5)/(0 - (-3)/(-78)).
33
Let l(x) = -x**3 - 26*x**2 + 23*x - 88. What is the remainder when 168 is divided by l(-27)?
8
Suppose -3*z - 223 = -34. Let w = -30 - z. Calculate the remainder when w is divided by 17.
16
Suppose -g = 5*u - 58 + 21, 5*u = 4*g - 73. Let b be (2/(-1) - -1) + 3. Let o = b - -4. What is the remainder when g is divided by o?
4
Suppose -10*i = -2*i + 24. Let b = i + 52. Calculate the remainder when b is divided by 10.
9
Let n(t) = 4*t**2 - 1. Suppose 6*p - 2 = 4*p. Let h be n(p). Suppose h*k = 2 + 1. What is the remainder when 3 is divided by k?
0
Suppose -4*z - z + o = 35, -14 = 4*z + 2*o. Let u(m) be the third derivative of -m**4/24 + 2*m**2. Calculate the remainder when 8 is divided by u(z).
2
Let d(i) = -177*i + 1115. Let p(r) = -r**2 + r + 11. What is the remainder when d(6) is divided by p(0)?
9
Let d(k) = -k**2 + 7*k + 32. Let j be d(10). Suppose j*g = 6*g - 40. Calculate the remainder when 30 is divided by g.
0
Let o = -231 - -247. Let f = -1 - -47. Calculate the remainder when f is divided by o.
14
Let j = 20 + -1. What is the remainder when 66 is divided by j?
9
Let u(k) = -6*k - 16. Let z be u(15). Let n = z - -148. Calculate the remainder when 166 is divided by n.
40
Suppose 5*d - k - 625 = 0, 3*k + 111 = 24*d - 23*d. Let c(i) = -34*i**3 + 2*i + 1. What is the remainder when d is divided by c(-1)?
27
Let h = -51 - -40. Let l(z) be the third derivative of -z**4/6 - z**3 + 2*z**2. What is the remainder when l(h) is divided by 14?
10
Let v = -3 + 15. Suppose 9 = -4*p + 7*p. Suppose -4*g - 25 = g, s - p*g - 61 = 0. Calculate the remainder when s is divided by v.
10
Let x = 7 + 15. Suppose 9 = i + p, -2*i - 5*p + x + 8 = 0. Suppose -5*k + 90 = -i*w, 35 = 3*k + 4*w + 2. Calculate the remainder when 28 is divided by k.
13
Let r(l) = 2 + 6*l**2 - 10*l - 8*l**2 - 3*l**2 + 4*l**2. Calculate the remainder when r(-6) is divided by 10.
6
Suppose 268 = -6*s + 1354. What is the remainder when s is divided by 13?
12
Let f = 26 - -56. Let q = 185 - f. Calculate the remainder when q is divided by 18.
13
Let d be (-2)/10 + 8/40. Suppose -4*c + 3*j + 384 = d, 27 + 453 = 5*c - 5*j. What is the remainder when c is divided by 20?
16
Suppose -1135 = -3*y - 2*y. Suppose -5*i + y = -108. What is the remainder when i is divided by 14?
11
Let q(c) = 6*c + 18. Let o(n) = -5*n - 17. Let f be -2*(0 + (1 - -1)). Let u(z) = f*q(z) - 5*o(z). Calculate the remainder when 11 is divided by u(-10).
2
Suppose -6*x - 5*x + 1045 = 0. Calculate the remainder when 184 is divided by x.
89
Suppose -4*i + 1662 = -1418. Suppose 0 = 25*t - 30*t + i. What is the remainder when t is divided by 39?
37
Let m(l) = 35*l - 644. What is the remainder when 41 is divided by m(19)?
20
Let v be (-1)/1*(-17)/17. Suppose 3*a + 60 = -a. Let d = v - a. Calculate the remainder when 46 is divided by d.
14
Let d = -39 + 90. What is the remainder when 457 is divided by d?
49
Suppose -13*d + 9*d - 5*v = 12, -4*v = d + 14. Calculate the remainder when 12 is divided by d.
0
Suppose -2*t + 7 = 1. Suppose -15 + 30 = t*j. Suppose 2*a + a = 5*f - 182, -5*f + 190 = j*a. Calculate the remainder when f is divided by 19.
18
Let l = -378 + 392. Calculate the remainder when 108 is divided by l.
10
Let z(s) = s**2 + 2*s - 19. Calculate the remainder when 33 is divided by z(-6).
3
Let v(b) = -8*b**3 + 3*b**2 + 10*b + 10. What is the remainder when v(-2) is divided by 40?
26
Let z = -3 + 18. Let b = z - 5. What is the remainder when 37 is divided by b?
7
Let q be (-1 + (-5)/(-3))/((-18)/(-81)). Suppose -2*v + 4*f + 7 + 7 = 0, q*v + 5*f = 21. Calculate the remainder when 26 is divided by v.
5
Let h = -13 - -35. Calculate the remainder when (3 - 1315/(-35)) + 3/7 is divided by h.
19
Calculate the remainder when (-160)/(((-42)/18)/7) is divided by 37.
36
Suppose -68*x + 46*x + 440 = 0. What is the remainder when 1296 is divided by x?
16
Let c(l) = 40*l**3 - l**2 + 16*l - 15. What is the remainder when 116 is divided by c(1)?
36
Let z(g) = -g**2 + 14*g + 6. Let i be z(12). Suppose 0*p - i = -5*p. Suppose -2*x = -p*x + 96. What is the remainder when 71 is divided by x?
23
Suppose -5*q - 2*z + 144 = 0, 4*q = 2*z - 5*z + 118. Suppose -q = -3*r + 2*v, -r - 6 + 16 = -v. What is the remainder when 31 is divided by r?
7
Suppose -2*o + 3*h = -2*h - 250, 3*o + h = 392. What is the remainder when o is divided by 66?
64
Let n = 31 + 1. Calculate the remainder