se 2*k = -5*y + 52, 2*y + 4*k - 2 = 6. What is the remainder when 405 is divided by y?
9
Let n = 47 + -16. Suppose -224*v - 2*i = -222*v, 5*v - i = 12. Calculate the remainder when n is divided by v.
1
Suppose 2*u + 561 = 3*y, 292*u + 9 = 295*u. What is the remainder when y is divided by 5?
4
Suppose -5*v - 23 + 38 = 0. Suppose 0 = 2*q - v*q + 33. Calculate the remainder when q is divided by 12.
9
Suppose -47 = -11*k - 14. Suppose -3*r + 171 = k*w, 4*r + 3*w = 5*w + 216. Calculate the remainder when r is divided by 14.
13
Suppose j + 2*j = 3. Calculate the remainder when 7 is divided by 4 + -3 + 2 + j.
3
Suppose -18*i + 21*i - 324 = 0. What is the remainder when i is divided by 14?
10
Let i = -25 - -15. Let j(v) be the first derivative of v**4/4 + 10*v**3/3 - v**2/2 + v - 18. Calculate the remainder when 43 is divided by j(i).
10
Suppose -791*d - 64 = -793*d - 4*r, 4*r = 28. Suppose 2*b = -0*b + 52. What is the remainder when b is divided by d?
8
Suppose 0 = -2*w - 2*s + 814, 2*w = -5*s + 286 + 528. Calculate the remainder when w is divided by 24.
23
Suppose -30*o + 1 = 4*l - 33*o, 0 = -5*o + 25. What is the remainder when 954 is divided by l?
2
Suppose 3*p + 3*o - 149 = 7*o, -4*p - 2*o = -206. What is the remainder when p is divided by 48?
3
Let s be -1 + 3 - (-27 - 1). Let m = 230 + s. Suppose 2*y - m = -3*y. Calculate the remainder when y is divided by 14.
10
What is the remainder when 230 is divided by (-66)/((0 + -6 + 5)*2)?
32
Let v = -59 + 149. What is the remainder when v is divided by 25?
15
Suppose -4*k - 5*f + 155 = -4*f, 5*f + 25 = 0. Suppose -2*u + 2*r + 7 = -r, 0 = 5*u - 3*r - k. Calculate the remainder when 32 is divided by u.
10
Suppose -6*o = -o - 35. Suppose o*d = -d. Let y = d + 29. What is the remainder when 86 is divided by y?
28
Suppose -22*r + 252 = -4*r. What is the remainder when 179 is divided by r?
11
Let t(b) = 4*b**3 + 50*b**2 + 23*b. Calculate the remainder when 272 is divided by t(-12).
8
Suppose 11*c - 8*c = 27. Let p = c - 7. Suppose 9 = p*n + z, 5*n - 2*z + 4 = 49. What is the remainder when 25 is divided by n?
4
Let z(y) = -y**2 - 10*y - 3. Let u be ((-50)/(-20))/(1/(-2)). Suppose -4*c = -3*j + 36, 3*j - 4*c = 2*j + 12. What is the remainder when z(u) is divided by j?
10
Suppose 3*l + 33 = -12. What is the remainder when 46 is divided by (1/4)/(l/(-780))?
7
Let y(q) = 2*q**2 + 42*q + 45. Calculate the remainder when 27 is divided by y(-20).
2
Let x(s) = s + 11. Let a be x(-9). Suppose 3*v = a*z - 219, -z - 3*v = -2*z + 114. Calculate the remainder when z is divided by 27.
24
Calculate the remainder when 45 is divided by (-10)/(-4) + 248/16.
9
Let i be 5/(-1) + (-72)/18. Let a(u) = -2*u + 12. What is the remainder when 87 is divided by a(i)?
27
Let o(v) = -v**3 + 9*v**2 - 10*v - 2. Suppose -30 = -5*q + 5*b, 2*q + 107*b = 112*b + 9. What is the remainder when o(7) is divided by q?
5
Let j = 234 - 222. Suppose -b - 3*i = -0*b - 113, 15 = 3*i. Suppose -3*k - 186 = -4*x, 2*x = 8*k - 4*k + b. Calculate the remainder when x is divided by j.
9
Let x(p) = 5*p + 162. What is the remainder when x(-7) is divided by 22?
17
Suppose 4*o + 20 = 3*t + 2*t, 0 = -2*o - 5*t + 20. Suppose -3*q + 27 - 21 = 0. Suppose o = q*c + 2*c - 44. What is the remainder when 65 is divided by c?
10
Let q(b) = -b**2 + 19*b + 26. Calculate the remainder when 263 is divided by q(18).
43
Let g = -71 + 84. Let u = g + -10. What is the remainder when (2/6)/(1/33) is divided by u?
2
Suppose -6 = -462*i + 460*i. Let d(w) = w**3 - 2*w**2 - 2*w - 2. What is the remainder when i is divided by d(3)?
0
Let s(l) = -15*l**3 + 2*l**2 + l. Suppose -591 - 264 = -15*a. What is the remainder when a is divided by s(-1)?
9
Suppose -2*h - 6 = 0, -3*j - 6 = -5*h - 0*h. Let f = j - -11. What is the remainder when (-26)/(-4) + 9/(-6) + 1 is divided by f?
2
Let x(c) = 219*c + 71. Calculate the remainder when x(2) is divided by 8.
5
Suppose -v + 18 = -4. Suppose u + 4*u - 5 = 5*d, -5*u = -d + 11. Let r = v + d. What is the remainder when 52 is divided by r?
16
What is the remainder when 847/3 + 148/(-111) is divided by 8?
1
Calculate the remainder when (-4830)/(-644)*(16/10 + 0) is divided by -1*(-1)/2*16.
4
Let t(l) = -l**3 + 7*l**2 - l + 7. Let v(x) = -x**2 - 5*x + 4. Let r be v(-5). Suppose r*u = 3*u + 6. Calculate the remainder when t(u) is divided by 19.
18
Let h(a) = a**3 + 6*a**2 - 2*a - 21. What is the remainder when 149 is divided by h(-4)?
16
Let z be (4 + -3 - 2)*0. Suppose z = 42*j - 44*j + 94. What is the remainder when j is divided by 24?
23
Let v(o) = o**3 - 9*o**2 - 9*o - 8. Let p = -36 + 46. What is the remainder when 3 is divided by v(p)?
1
Let n(k) = -k + 4. Calculate the remainder when n(-4) is divided by (1/((-4)/(-3)))/(174/464).
0
Suppose -2*i - 3*g - 22 = 0, g = -4*i - 0*g - 54. Let l = i - -16. Suppose 4*k = l*r, 1 = -2*r + 5*k - 1. Calculate the remainder when 17 is divided by r.
1
Let i(p) = 5*p + 43. What is the remainder when 63 is divided by i(-7)?
7
Let d be 40/4*(-2)/(-4). Suppose -d*f + 71 + 64 = 0. What is the remainder when 101 is divided by f?
20
Let t = -49 + 121. Suppose 5*v + 99 = 4*q, -3*q + 4*v - 2*v + 69 = 0. Suppose -19 = q*y - 22*y. What is the remainder when t is divided by y?
15
Suppose 0 = -2*f + 5*b - 9, 4*f + f - 24 = -3*b. Calculate the remainder when 3 + (-3 - (f + -56)) is divided by 11.
9
Let c(n) = n**3 + n**2 - n. Let t(x) = -x**3 + 14*x**2 - 11*x - 24. Let j be t(13). Calculate the remainder when 57 is divided by c(j).
7
Suppose 773 - 2725 = -16*u. Calculate the remainder when 596 is divided by u.
108
Suppose -1979*i = -1978*i - 65. What is the remainder when 908 is divided by i?
63
Let m(j) = -13*j + 82. Let b be m(6). Suppose 4*d + 31 = r, -r - b*d + 0 = -7. Calculate the remainder when 92 is divided by r.
16
Let a(d) be the third derivative of -2/15*d**5 + 0*d + 5/12*d**4 + 1/120*d**6 + 0 + 1/2*d**3 - 9*d**2. What is the remainder when a(7) is divided by 5?
4
Let q(c) = -c**2 + 16*c + 13. Let d be q(16). Suppose 4*k + d = 5*b, -4*b + 4 = k + 2. Calculate the remainder when b + -4 + -2 + 27 is divided by 12.
10
Let z(s) = -3*s**3 - 75*s**2 - 4*s + 7. What is the remainder when 197 is divided by z(-25)?
90
Suppose 0 = s - 2*j + 3 + 1, -12 = -2*s - j. Suppose 1 = s*a - 139. What is the remainder when a is divided by 10?
5
Let j(w) = -w**2 + 5*w + 14. Let b be j(-2). Let o = -7 - -11. Suppose o*r + b = -5*l + 84, -l = -3*r - 32. What is the remainder when 39 is divided by l?
19
Suppose -65 = 5*u - 2*c, u + 3*c + 7 = -u. Let m = -6 - u. Let d(n) = -12*n**3 + 2*n**2 + n + 1. Calculate the remainder when d(-1) is divided by m.
4
Let y(s) = 7*s**2 - 26*s - 30. What is the remainder when 171 is divided by y(5)?
6
Let a(n) = n**3 - 14*n**2 + 15*n + 4. Let v be 3*(-1 - 5/(-3)). Let g be (v/3)/(22/429). Calculate the remainder when 119 is divided by a(g).
29
Suppose 16*y = 9*y + 245. Calculate the remainder when 100 is divided by y.
30
Let c be 57/(-6)*(-4)/2. Suppose -c = v - 2*v - 4*d, -4*d + 4 = -4*v. What is the remainder when 2/6 + 119/v is divided by 11?
7
Calculate the remainder when 354 is divided by (-1 - -2)*(-142)/(-2).
70
Let i(s) = s**2 + 19*s + 40. Suppose -j + 3*m - 24 = 2, 2*j + 19 = -5*m. Let q = 1 - -1. Calculate the remainder when i(j) is divided by q.
0
Calculate the remainder when 75 is divided by (-26)/(-26)*(27 + 1) + -2.
23
Let c(m) = m**3 + m**2 + 3*m - 2. Let p(r) = 4*r**2 - r - 3. Let n be p(3). Suppose -15 = b - n. Calculate the remainder when c(3) is divided by b.
13
Let f(v) = v**2 + 73*v - 382. Calculate the remainder when 1/(-2) - 220/(-8) is divided by f(5).
3
What is the remainder when 34 is divided by (6 - 5) + 4 + 4?
7
Let i(j) = -7*j - 4. Let a be i(-2). What is the remainder when ((-415)/a)/(3/(-6)) is divided by 21?
20
Suppose -3*s + 3*o + 78 = 0, -2*o + 38 + 90 = 4*s. Suppose -h + s = -0. Calculate the remainder when 209 is divided by h.
29
Let n be ((-20)/(-16))/((-3)/60). Let l = n + 40. Suppose 3*z - 3*s = -6*s + 18, -4*z + s + 14 = 0. Calculate the remainder when l is divided by z.
3
Let b = 395 + -359. Let n(a) = -a**2 + 4*a. Let u be n(4). Suppose u*g - 2*g = -b. What is the remainder when 52 is divided by g?
16
Let q = -3 + 1. Let j be 0 + q + 4*2. Calculate the remainder w