e 3*n + j = -5 + y, -i*j = -n + 4. What is the remainder when 19 is divided by n?
3
Let h(d) = d**2 - 16*d + 19. Let m be h(15). Suppose 8*f = m*f + 160. Suppose b = 5*b - f. Calculate the remainder when 18 is divided by b.
8
Suppose 2*t + i + 100 = 0, -4*t - 311 = -5*i - 111. Let m = -27 - t. Suppose -19 = -3*n - 5*u, -6 = -n - u + 1. What is the remainder when m is divided by n?
7
Suppose 0 = -20*i + 19*i + 33. Suppose 2*u + 2*g - 24 = 0, u - 4*g - 24 = -3*u. Let r = 21 - u. What is the remainder when i is divided by r?
9
Let t = -70 + 89. Suppose 4 = 2*o - 2*n + 10, 3*n = -3*o + 15. Let b = 6 + o. What is the remainder when t is divided by b?
5
Let b = 169 + -152. Let j = 17 + -9. Calculate the remainder when b is divided by j.
1
Suppose -5*l = 2*w + 267, 5*w - w - 208 = 4*l. Calculate the remainder when 20 is divided by (-5)/(-30) - (l/6 + -2).
9
Let z = -13 - -12. Let y be 78/(-6) - z/1. What is the remainder when 19 is divided by 4/(-8)*(y + -2)?
5
Let c(n) = 3*n**2 + n + 4. Suppose 4*g = 2*g + 8. Calculate the remainder when c(g) is divided by 3/(1 - -5)*38.
18
Suppose -n = 8 - 7. Calculate the remainder when 34 is divided by (1 + 1)/(n/(-6)).
10
Let y(r) = -r + 1. Let h = -5622 - -5640. Calculate the remainder when h is divided by y(-6).
4
Let n = 11 + -14. Let f(z) = 2*z**2 + 3*z + 2. Let u(l) = l**3 - 5*l**2 + 4*l - 8. Calculate the remainder when u(6) is divided by f(n).
8
Let j(o) = o + 17. Let z(x) = 18. Let c(b) = -4*j(b) + 3*z(b). Let l = -17 - -36. What is the remainder when l is divided by c(-6)?
9
What is the remainder when 145 is divided by -8 + (-245)/(-30) - 226/(-12)?
12
Let k(b) = b**2 - 12*b + 32. Let r be k(6). Let m(u) = -u**3 - 3*u**2. Calculate the remainder when 31 is divided by m(r).
15
Suppose -4*q = 2*z - 62, -5*q + 0 = z - 16. Suppose 49 = 51*j - 44*j. Calculate the remainder when z is divided by j.
6
Suppose 5*x = 5*p - 85, 3*p - 16 = p - 4*x. Let z(n) = 2*n**2 - 3. What is the remainder when p is divided by z(-2)?
4
Let p = 1564 - 1534. Calculate the remainder when 148 is divided by p.
28
Let j = 145 + -51. Let u = 274 - 249. Calculate the remainder when j is divided by u.
19
Let d = 458 - 423. Calculate the remainder when d is divided by (-74)/(-4) + (-2)/4.
17
Suppose 0 = 5*y - k - 46, 36 = 4*y - 2*k - 2. Suppose 5*t + 16 - 26 = 0. Let w = y - t. Calculate the remainder when 26 is divided by w.
5
Let c = 245 + -233. What is the remainder when 46 is divided by c?
10
Suppose -2*d = -5*g - 48, -2*g - 80 = -8*d + 4*d. Calculate the remainder when 223 is divided by d.
14
Suppose -18*k = -20*k - 6. Calculate the remainder when 24 is divided by (-14)/(-2) + -2 + (-3 - k).
4
Let d(t) = -t - 2. Let y = -17 - -19. Let h be d(y). Let r(b) = -12*b + 3. What is the remainder when r(h) is divided by 13?
12
Suppose 3*p - 4*d - 23 = 0, -3*d = 4*p - 2*d - 18. Suppose 69 = 2*a + 3*u, 3*a - p*u + 38 = 113. Calculate the remainder when a is divided by 11.
8
Suppose -32 = -3*m - 5. Let t = -1195 - -1207. What is the remainder when 92/(-3)*m/(-6) is divided by t?
10
Let i = 41 - -59. Let u = i + -80. Calculate the remainder when u is divided by 8.
4
Let p = 2335 + -2148. What is the remainder when p is divided by 70?
47
Let k(o) = 10*o**2 + 2*o + 3. Calculate the remainder when 272 is divided by k(-2).
38
Suppose -220 + 31 = -7*m. Calculate the remainder when 172 is divided by 7/(7/m) - 2.
22
Let k be (-7)/((-42)/32) + (-6)/(-9). Suppose 12*v - 156 = k*v. Calculate the remainder when v is divided by 14.
12
Let q(s) = -2*s + 5. Let u be q(-4). Suppose -4*n + 8*n + p = 43, p = -n + u. What is the remainder when 29 is divided by n?
9
Suppose -2*z - 2*v = -218, 2*z - 230 = 4*v - 2*v. What is the remainder when z is divided by 55?
2
Let k(j) = -j**3 + 5*j**2 + 9*j + 22. Calculate the remainder when 271 is divided by k(6).
31
Let r(t) = -3 + 6*t + 1 - 2 + 2. What is the remainder when 76 is divided by r(3)?
12
Suppose 0*r = 4*r - 164. Suppose -13*n - 57*n = 363 - 1833. Calculate the remainder when r is divided by n.
20
Let m = 21 - 11. Suppose o + q = 24, 66*o + q = 64*o + 46. Calculate the remainder when o is divided by m.
2
Let t be 20/20 - (0 + -4). Suppose -57 - 28 = -t*x. Calculate the remainder when 67 is divided by x.
16
Let j = 23 + -8. Calculate the remainder when 40 is divided by (-8 - -1)/(j/(-30)).
12
Let z = -136 - -222. What is the remainder when z is divided by 46?
40
Suppose -44 + 2 = 2*a. Let r be (-1590)/a + (-2)/(-7). What is the remainder when r/10 - (-4)/10 is divided by 6?
2
Let h = 102 - 97. Suppose 0 = -0*r - 3*r - 2*b + 38, -4*r - h*b = -39. What is the remainder when 158 is divided by r?
14
Let y be (-1)/(-6) + 1135/30. Let a = y - 29. Calculate the remainder when 87 is divided by a.
6
Let b(h) = -h**2 - 4*h + 177. What is the remainder when b(0) is divided by 26?
21
Suppose 468*j + 1056 = 480*j. What is the remainder when j is divided by 26?
10
Let t = 25 - 11. Calculate the remainder when t is divided by -6 + (4 - -6 - -2).
2
Let x(w) = -47*w + 1 + 50*w + 1. Let t = 40 - 22. What is the remainder when t is divided by x(1)?
3
Let h = 161 - 144. Calculate the remainder when 220 is divided by h.
16
Let m(v) = v**2 + 6*v - 60. What is the remainder when 31 is divided by m(6)?
7
Let h(u) be the second derivative of u**4/12 - 2*u**3/3 + u**2 - 5*u. What is the remainder when h(5) is divided by 2?
1
Let f = -7 + 12. Suppose 0 = 3*t - 4*n - 21, -5*t - 2*n = -f*n - 46. Let d = 4 + t. Calculate the remainder when d is divided by 8.
7
Let n = 0 - 0. Suppose n = -2*w + 2*s + 48, 3*s + 120 = w + 4*w. Suppose -j - w = -5*j. What is the remainder when 10 is divided by j?
4
Suppose -r - 3 = -2*r. Suppose -3*d + r*m + 9 = 0, 3*d + 0*m + 4*m = -5. Calculate the remainder when 54 is divided by (-72)/(-3) + d + 3.
26
Let k = -13 + -7. Let u = 33 + k. Suppose 7*a - 2*i - 112 = 4*a, i = 3*a - 113. What is the remainder when a is divided by u?
12
Let r(p) = 58*p**2 + 1. What is the remainder when 176 is divided by r(1)?
58
Let s be (-39)/26*(-1 + -1). What is the remainder when 33 is divided by (-72)/(-16)*8/s?
9
Suppose -3*h + 2*h + 35 = 0. Let o = -84 - -99. What is the remainder when h is divided by ((-110)/o)/(-11)*(-114)/(-4)?
16
Let o = 876 - 848. What is the remainder when o is divided by 11?
6
Suppose -197*y = -217*y + 1960. Calculate the remainder when y is divided by 3.
2
Let g = 3 + 0. Suppose 2*f = -g*t - 2, f + 6 = t + 15. Let p = t + 6. Calculate the remainder when 4 is divided by p.
0
What is the remainder when 160 is divided by (1/(-2))/((-239)/(-60) + -4)?
10
Suppose 0 = -18*f + 470 - 2. What is the remainder when 68 is divided by f?
16
Let d = -143 - -282. Let y = d - 37. Suppose -25 = -5*n, 0 = -2*r - 0*n + n + 47. Calculate the remainder when y is divided by r.
24
Let q(m) = -m**2 + 6 - 2 - 2 - 11*m. Suppose -17 = -3*x - 4*f, 3 + 13 = -4*f. What is the remainder when q(-9) is divided by x?
9
Let w be (-3)/(-3)*-1*-3. Let c(r) = r + 3. Let v be c(w). Let l(p) = p**3 - 4*p**2 + p + 8. What is the remainder when l(v) is divided by 29?
28
Let k(i) = i - 1. Let q(d) = -25*d + 2. Let w(y) = -4*k(y) - q(y). Let n be w(2). Let j = -29 + n. Calculate the remainder when 58 is divided by j.
13
Let h(o) = -6*o - o**2 + 0 + 30 + 26. What is the remainder when 58 is divided by h(-10)?
10
Let i(u) = 4*u. Let m be i(8). Suppose -j + 5*j = m. Calculate the remainder when j is divided by 2.
0
Let i(y) = -46*y - 45. Calculate the remainder when i(-3) is divided by 12.
9
Let w = -130 + 163. What is the remainder when 195 is divided by w?
30
Suppose 5*t - 1484 = -4*f, 0*t - 312 = -t + 3*f. What is the remainder when (-1)/(-1 + 2 - t/296) is divided by 25?
24
Let d(y) = -15*y**3 - y**2 + y + 1. Let w(k) be the first derivative of 5*k**2/2 - 3. What is the remainder when w(5) is divided by d(-1)?
11
Let s = 21 + 21. Let h(p) = p + 4. What is the remainder when s is divided by h(5)?
6
Suppose 2*b - 4*j = b + 10, -2 = 2*b + 3*j. Let d = 9 + b. What is the remainder when 38 is divided by d?
5
Let p be (-63)/(-15) + (-1)/5. Suppose -5*d - 4*k + 86 = 0, -p*d + 2*k + 40 = -2*k. What is the remainder when 67 is divided by d?
11
Let q(h) = h**2 + 2*h - 13. Let k be q(-6). Suppose -7*c + 2*c + 76 = y, c - 4*y - k = 0. What is the remain