 the remainder when i is divided by 27?
24
Suppose 0 = -0*n + 3*n - 15. Suppose n*f + 5 = 65. What is the remainder when 45 is divided by f?
9
Let b(k) = 17*k**3 + 1. Let y = 404 - 245. Suppose -12*h + y = -9*h. Calculate the remainder when h is divided by b(1).
17
Let p be 6*((-150)/(-4) - -2). Suppose -d = -13 - 12. Suppose 4*w + d = p. What is the remainder when w is divided by 14?
11
Suppose 1045 = -14*j + 8969. Calculate the remainder when j is divided by 9.
8
Suppose -59*j + 46*j + 637 = 0. Calculate the remainder when 81 is divided by j.
32
Suppose 1 + 45 = 2*p. Suppose 6*l + 68 = 4*n + 3*l, -4*n = 2*l - 88. Suppose 0 = m + 2*f - 2 - n, 5 = f. Calculate the remainder when p is divided by m.
11
Suppose 3*i = 23 - 5. Suppose 0 = -3*x - i*x + 459. What is the remainder when x is divided by (2 + -2 + 18)/1?
15
Let p = -18 + 23. Suppose 60 = p*m - 3*j, -41 = -3*m + j - 1. What is the remainder when 24/(-20)*220/(-6) is divided by m?
14
Let c(p) = 3*p**2 - 2*p - 20. Let h(a) = a**2 - 1. Let l(u) = c(u) - 2*h(u). What is the remainder when 48 is divided by l(-5)?
14
Let x(h) = -h**2 - 9*h + 3. Suppose -4*a = 144*a - 592. What is the remainder when x(-8) is divided by a?
3
What is the remainder when 179 is divided by 85 - (-4 + (-9)/3)?
87
Let s(h) = 9*h**2 - 6*h - 2. Let d(v) = 2*v**2 - v + 42. Calculate the remainder when s(-4) is divided by d(0).
40
Suppose -2*x - 7*v = -2*v - 308, 3*v + 143 = x. What is the remainder when x is divided by 18?
5
Let c be 9/(-6)*-1*14. Let j be ((-2)/(-3))/(c/1260). Suppose 2*y + j = 114. Calculate the remainder when y is divided by 13.
11
Suppose 421*m - 425*m + 68 = 0. What is the remainder when m is divided by 4?
1
Let j = 167 + -162. Calculate the remainder when 13 is divided by j.
3
Let n(v) = -v**3 - 3*v**2 + v + 2. Suppose -6*k - 16 = -2*k. What is the remainder when n(k) is divided by (11 - -2) + (-3 - 5)?
4
Suppose -4*d + 45 = 29. Suppose 4*k - 26 = l + 15, 2*l + 38 = d*k. What is the remainder when 20 is divided by k?
9
Let s(o) be the second derivative of -o**5/20 - 7*o**4/12 + 4*o**3/3 + 24*o. What is the remainder when s(-9) is divided by 24?
18
Suppose -4*o = -24 - 28. What is the remainder when 7 is divided by ((-5)/3)/(o/(-39))?
2
Suppose -2352 = -5*f - c, 2*c + 264 = 3*f - 1142. What is the remainder when f is divided by 3?
2
Suppose -34*n + 840 = 8*n. What is the remainder when n is divided by 14 - 2 - (-4)/(-2)?
0
Let m(b) = -2*b - 1. Let d be m(-2). Suppose 0 = -d*r + k - 5*k + 23, 4*r + 5*k - 32 = 0. What is the remainder when 35 is divided by r?
9
Suppose 45*h = 46*h. Suppose h = -4*i + 18*i - 378. What is the remainder when 134 is divided by i?
26
Suppose -3*n + 155 = 5*k, -11*k - 4*n = -7*k - 132. Calculate the remainder when 1035 is divided by k.
27
Suppose -5*c = 2*v - 0*c - 26, -5*v + 27 = 3*c. Suppose -v*q = -10*q + 469. What is the remainder when q is divided by 23?
21
Let l = 183 + -80. Calculate the remainder when 57 is divided by (-51)/85 + l/5.
17
Let b = 1099 + -1038. Let u(p) = p**2 + 3*p - 2. Calculate the remainder when b is divided by u(-6).
13
Let d(r) = 2*r**3 + 14*r**2 + 8*r - 9. Suppose -n - 2*n = -357. Calculate the remainder when n is divided by d(-6).
14
Let j = -328 - -348. Calculate the remainder when 37 is divided by j.
17
Let y = 81 - 48. What is the remainder when y is divided by -3 - -8 - (4/(-8))/((-4)/(-128))?
12
Let z(o) = o**2 + 6*o + 1. Let y be z(-5). Let d(b) = -b**3 - 4*b**2 - 6*b. What is the remainder when 143 is divided by d(y)?
23
Let t = -30 + 66. Suppose -2*m + 8*m - t = 0. Suppose x = m*x + 5*f - 75, 4*f = -8. Calculate the remainder when x is divided by 9.
8
Calculate the remainder when 115 is divided by 2/(-1 + (-24)/(-23)).
23
Let y(b) = 9*b - 7 - 2 - 2. Calculate the remainder when 103 is divided by y(7).
51
Let s = 91 + -17. Let y = 23 + s. Calculate the remainder when y is divided by 25.
22
Let q = -12 + 7. Let x be 26/(-65) + (-62)/q. Suppose -2*c - 4*j + 7 = -21, x = 4*c - 3*j. Calculate the remainder when 21 is divided by c.
3
Let w(u) = -5*u - 12. Let p = 2525 + -2389. What is the remainder when p is divided by w(-8)?
24
Suppose 0*m = 4*m - 72. Suppose 740 = 4*t + 4*r, -2*t - 4*r + 376 = -0*r. Suppose -17 = 5*c - t. What is the remainder when c is divided by m?
15
Suppose -t + d = -20, 4*t - 5*d + 10*d = 107. Calculate the remainder when 620 is divided by t.
22
Let i(d) = -d**3 - 4*d**2 + d - 3. Suppose 2*y + 2*y = -240. What is the remainder when i(-6) is divided by (84/35)/((-9)/y)?
15
Let q(g) = g**3 + 19*g**2 + 84*g + 25. What is the remainder when -3 + 1/(-1) + 177 is divided by q(-12)?
23
Suppose 6*j - 2*j = 4. What is the remainder when 66 is divided by ((-136)/(-16))/(j/2)?
15
Let j(u) = 15*u**2 - 22*u + 39. Calculate the remainder when 121 is divided by j(2).
11
Suppose 3 = j - 3. Let s = 5 - 1. Suppose s*w = 42 - 2. What is the remainder when w is divided by j?
4
Let h(f) = 2*f**2 - 5*f + 5. Let j be h(2). Let l(x) = 2*x**3 + x**2 + x - 1. Calculate the remainder when l(j) is divided by 22.
21
Suppose k + 4*g + 7 = 0, 7 = -2*g + 1. Suppose k*o = 167 - 92. Calculate the remainder when (-1 + 2)/(1/59) is divided by o.
14
Suppose 3*c + 114 - 180 = 0. What is the remainder when 701 is divided by c?
19
Let l(a) = -20*a - 747. Calculate the remainder when 35 is divided by l(-38).
9
Let s = -29 - -33. Let i = -3 + s. Let q = 4 + i. Calculate the remainder when 11 is divided by q.
1
Calculate the remainder when 18/(-42) + 5362/49 is divided by 31.
16
Let c = -562 + 1197. What is the remainder when c is divided by 13?
11
Let i(w) = -4*w - 2. Suppose 0*q = 3*a - 2*q + 15, 6 = -3*a - q. Let u = 4 + 0. Calculate the remainder when i(a) is divided by u.
2
Suppose 0 = 3*q + 4*k - 237, 0 = 3*k + 10 - 1. What is the remainder when q is divided by 22?
17
Suppose 5*a + 5*v = 145, 5*v - 5 + 4 = a. Suppose -1 = -t - 2*b, -28 = 5*t + 2*b - 3*b. Let x(k) = -18*k + 5. What is the remainder when x(t) is divided by a?
23
Let z(p) = p**3 - 6*p**2 + 9*p - 47. What is the remainder when 647 is divided by z(7)?
62
Let v(r) = -r**2 - 6*r + 14. Let g be v(-7). Calculate the remainder when 147 is divided by 41 + (0 - g) + 3.
36
Let b(p) = 6*p - 7*p + 0 - 3. Let u(l) = l**2 - 5*l + 6. What is the remainder when u(-4) is divided by b(-14)?
9
Let w = 25 + -20. Let z(x) = 3*x. Let u be z(1). Suppose -w*k = -u*m + 96, -258 = -5*m - 5*k - 58. What is the remainder when 71 is divided by m?
34
Let m = 1 + -1. Suppose m*l = l - 23. Suppose -119 = -4*p - l. Calculate the remainder when 45 is divided by p.
21
Let m(j) = -2*j**3 + j**2 + j - 1. Let b be m(1). Let n be -1 - (-2 - 0 - b). Suppose -4*k + 92 + 20 = n. Calculate the remainder when k is divided by 15.
13
Suppose -9 = -u + 3*x, 0 = u + 5*x - 3*x + 6. Let a be (1 + 0)/(1/5). Let h = a - u. What is the remainder when 9 is divided by h?
4
Let j = -68 - -93. Let v be (5/5)/((-2)/14). Let d = v + j. Calculate the remainder when d is divided by 5.
3
Suppose 0 = 2*p + 2*p - 3*v - 63, 2*p - 24 = 4*v. What is the remainder when 171 is divided by p?
9
Suppose 3*z = -3 + 9. Let m(a) = 200*a**2 + a. Let h be m(z). Calculate the remainder when 8/(-64) + h/16 is divided by 13.
11
Let x(u) = 153*u + 10. What is the remainder when x(2) is divided by 31?
6
What is the remainder when -4*(-3)/6 - -210 is divided by 27?
23
Let f = 311 + -301. Let z(m) = -m**3 - 11*m**2 - 13*m + 6. Calculate the remainder when z(-10) is divided by f.
6
Suppose f - 19 = -0*f. Suppose 6*n = 4*n + 5*h + 158, -10 = 5*h. What is the remainder when n is divided by f?
17
Suppose -2*s = 3*m - 209 - 10, 4*m = 2*s + 278. Let h(c) = c**3 + 21*c**2 + 17*c - 23. What is the remainder when m is divided by h(-20)?
34
What is the remainder when (135/(-60))/(3/(-32)) is divided by 2?
0
Let t be 7*10/35*-1. Let d(u) = 18*u**3. Let p be d(1). Let v = p + t. What is the remainder when 77 is divided by v?
13
Suppose 3*p + 3*s - 366 = 0, -237 = -2*p + 12*s - 7*s. What is the remainder when p is divided by 31?
28
Let r = 1358 + -1174. Calculate the remainder when r is divided by 23.
0
Suppose -124 = -v - 3*v. Suppose 0 = 2*j - 2, 9*y + 2*j + 32 = 11*y. What is the remainder when v is divided by y?
14
Suppose -7*z + 58*z - 2003 = 1159. Let t = -5 + 18. Calculate th