
14
Let o = -11 + 6. Calculate the remainder when (-8 - o) + (-32)/(-2) is divided by 8.
5
Suppose -32 = -5*j + 3*j. What is the remainder when (1/(-2))/((-5)/20) + 26 is divided by j?
12
Let q(w) = 4*w**2 - 2*w - 2. Suppose 0 = -d + 3*a + 14, -d + 0*a + 26 = a. Let f = d - 13. Calculate the remainder when q(-2) is divided by f.
8
Calculate the remainder when (-8325)/(-50) - (-9)/6 is divided by 5.
3
Let o = 180 + -163. Calculate the remainder when o is divided by (1 + 0)/(5/45).
8
Let h = -6 + 8. Suppose j = h*g + 21, 5*j - 37 = 4*g + 44. Let s = 50 - -1. Calculate the remainder when s is divided by j.
12
Let m be 21/6*26 + -3. Suppose 4*j = -20 + m. What is the remainder when 50 is divided by j?
16
Let l be (-3 - (-1 + 2))/(-2). Suppose 2*j - 56 = -l*j. What is the remainder when 54 is divided by j?
12
Suppose -k - 5*w = -11, -2*k - 4*w = -0*w - 16. Suppose -5*d + k = -39. Suppose -3*y = -116 + 14. What is the remainder when y is divided by d?
7
Let h be 4 + (2/6)/(1/3). Suppose 0*c - h*c = -40. Suppose 0 = -3*t + 2*t + 15. Calculate the remainder when t is divided by c.
7
Let l be ((-8)/(-15))/(-4) + (-47)/(-15). Suppose -f + 4*v - 84 = -5*f, -2*f - l*v = -41. Calculate the remainder when 83 is divided by f.
17
Suppose 2*f + 2*t - 254 = -2*f, 2*f - 5*t = 121. Let s = f + -4. What is the remainder when s is divided by 21 - (14/7 + (8 - 4))?
14
Suppose -8*z = -55 + 31. Calculate the remainder when 3 is divided by z.
0
Calculate the remainder when 0*2/4 + 95 is divided by 6.
5
Suppose 23*r = 16*r + 112. Calculate the remainder when 34 is divided by r.
2
Let j be 2/((24/(-42))/((-6)/7)). Suppose 2*l = j*y + 26, -3*l = -0*y + 3*y - 39. Calculate the remainder when 332/14 - (-2)/7 is divided by l.
11
Let b be (-6 - -3)*(-10)/6. Let r(d) = -d**3 + 7*d**2 - 5*d + 1. What is the remainder when (-1)/3 - (-310)/3 is divided by r(b)?
25
Let h = -19 - -33. Suppose -4*i + j + 17 = 0, 5*i - 9*i = 2*j - h. Suppose a + 39 = 4*a. What is the remainder when a is divided by i?
1
Suppose 3*l = -22 + 100. Calculate the remainder when 56 is divided by l.
4
Suppose 2*y + 60 = 3*s, 34*y - 31*y + 80 = 4*s. What is the remainder when 36 is divided by s?
16
Suppose 0 = -2*u - u + 45. Suppose -4*z - u - 5 = 0. Let q = z + 16. Calculate the remainder when 42 is divided by q.
9
Suppose -2*a = 3*c - 40, a + 1 - 43 = 4*c. Calculate the remainder when a is divided by -1 + (-4)/(-6)*12.
5
Suppose 140 = 5*r + 4*f, 4*f - 14 - 6 = 0. Suppose 2*v = 3*k + 95 + 53, 3*v - 217 = 2*k. Calculate the remainder when v is divided by r.
23
Suppose l - 2*l = -m - 51, -5*l + 225 = m. What is the remainder when l is divided by 16?
14
Let b be ((-52)/(-8))/(2/(-8)). Let k = b + 37. Calculate the remainder when (-3)/((9/21)/(-3)) is divided by k.
10
Suppose 3*m + m = -3*m. Suppose 0*k = k - 102. Suppose -5*p + k + 8 = m. What is the remainder when 41 is divided by p?
19
Let s = 965 + -953. Calculate the remainder when 479 is divided by s.
11
Let y(v) = -54*v**3 + v**2 - 1. Suppose -2*q = -3*b - 1 - 80, 2*q = -4*b + 116. Suppose 23*c - 17*c = q. What is the remainder when y(-1) is divided by c?
6
Let f(c) = -c**2 + 6*c - 2. Let r = 78 - 77. Calculate the remainder when 36*r/8*2 is divided by f(5).
0
Suppose r + 19 - 4 = 0. Let d = 23 + r. Suppose m + 83 = 3*a, 9*a - 10*a + 3*m = -25. What is the remainder when a is divided by d?
4
Let u = -69 - -146. Suppose 4*i = -3*i + u. Let d = -5 - -25. What is the remainder when d is divided by i?
9
Calculate the remainder when 1265 is divided by (81/(-4))/((-213)/284).
23
Let i(j) be the first derivative of j**2/2 + 33*j + 8. Calculate the remainder when 105 is divided by i(-15).
15
Suppose 3*d = x - 36, -5*d - 36 = -2*x + x. Let f = 28 + -99. What is the remainder when (8/(-4) + 0)*f is divided by x?
34
Suppose 43*a = 36*a + 189. What is the remainder when 105 is divided by a?
24
Let t = 69 - 39. Let m = t + -24. What is the remainder when m is divided by 5?
1
Suppose -338 = -5*s + s + z, z = -5*s + 418. Suppose n - 24 = 3*q, 4*n - 3*q - 110 = 2*q. What is the remainder when s is divided by n?
24
Let b(k) = k**3 + 24*k**2 - 5*k - 51. Calculate the remainder when b(-24) is divided by -10*(-2*2 + 3).
9
What is the remainder when (-9)/((-10)/(280/6)) is divided by 14?
0
What is the remainder when 35 + 121/(-22) + (-3)/(-2) is divided by 16?
15
Let y = -342 - -714. What is the remainder when y is divided by 25?
22
Let c be (27/(-3) - -6)/(6/(-32)). Suppose -a = -73 - c. Calculate the remainder when a is divided by 45.
44
What is the remainder when -31*(-8 - -3)/5*(-7 - -8) is divided by 1*(-2)/(-2) - -3?
3
Let g = 8 - 5. Suppose -b - 2*r - 9 = 0, g*b + 5*r + 27 = -b. Let u(j) = -12*j + 1. Calculate the remainder when u(b) is divided by 10.
7
Let y = 14 - 25. Suppose 8*n = 322 + 110. Calculate the remainder when n is divided by 357/33 - 2/y.
10
Let m = 12 + -10. Suppose 4*b = -0 + 12. Calculate the remainder when 6 is divided by (b/(6/8))/m.
0
Let x(j) = 10*j + 0*j**2 - 4*j**2 + 3 + 3*j**2. Let y(i) = i**3 - 41*i**2 - 40*i - 2. Calculate the remainder when y(42) is divided by x(5).
26
Suppose -5*c - 2*c = -525. Let v(j) = -4*j**3 + j**2 + 2*j + 3. Let t be v(-2). Suppose -3 = -2*f + t. What is the remainder when c is divided by f?
18
Let h = -391 - -664. Let q = h + -139. What is the remainder when (-1)/6 - q/(-12) is divided by 7?
4
Suppose -3*l + 8*l - 920 = 4*c, 3*l + 4*c - 584 = 0. Calculate the remainder when l is divided by 65.
58
Let r(m) = -m**3 + 11*m**2 - 15*m - 21. Let f be 11/3 - 4/6. Suppose -z = n - f*z - 17, -67 = -5*n + 4*z. Calculate the remainder when n is divided by r(9).
5
Let m be (-16)/24*(1 + -4). Suppose -4*d + j = -5, 6*d - 16 = d - m*j. Suppose k = -d*k + 30. Calculate the remainder when 27 is divided by k.
7
Suppose 446 = 5*h - 2*s, -194 = -4*h + 4*s + 158. What is the remainder when h is divided by 38?
14
Suppose -197*i + 193*i + 204 = 0. What is the remainder when 151 is divided by i?
49
Let c = -87 - -109. Suppose 4*m - 28 = -4*r, 1 = 4*r + m - 6*m. Suppose -12 = -r*p + s + 33, -39 = -4*p + 3*s. What is the remainder when c is divided by p?
10
Let n(z) = 2*z**2 - 9*z - 3. Let r be n(5). Calculate the remainder when 3 is divided by (r + -4)/(-4 - -3).
1
Suppose 3*s - 5*s + 2 = 0. Calculate the remainder when (-10)/4*(-12)/10 is divided by s.
0
Let l = 82 - 85. What is the remainder when 13 is divided by (-2)/(-2)*(l - -6)?
1
Let q = 46 + -44. What is the remainder when ((-1)/((-1)/(q - 44)))/(-2) is divided by 12?
9
Let h be 168/16*(-4)/6. Let j(f) = -f + 1. Let o be j(h). Suppose -c + 111 - 37 = 3*l, -l = -3*c - o. What is the remainder when l is divided by 12?
11
Suppose 4858 = 10*i - 1132. Calculate the remainder when i is divided by 12.
11
Suppose 0 = 2*b + 10, 65*d - 69*d + b + 213 = 0. What is the remainder when d is divided by 41?
11
Let i = 1269 + -1264. Calculate the remainder when 150/8 - 2/(-8) is divided by i.
4
Suppose -5*i - 4*n - 78 = 0, i + 2*n = -n - 9. Calculate the remainder when (-4)/i + (-1 - 142/(-9)) is divided by 6.
3
What is the remainder when 19*-3*(-7 + 6) is divided by 258/(-602) - -1*(-146)/(-14)?
7
Let a(b) = 4*b**2 - 25*b - 13. What is the remainder when a(8) is divided by 28?
15
Suppose 2004 = 149*j - 1125. Let n = 60 + -26. What is the remainder when n is divided by j?
13
Let j be (-4)/18 + (-261)/(-81). Suppose 7*r - 12 = j*r. Calculate the remainder when 80 is divided by 29 + ((-12)/r)/2.
26
Let d = -437 - -614. What is the remainder when d is divided by 94?
83
Suppose 2*i = -3*j + 57, -2*i = 5*j - 61 - 6. Calculate the remainder when 1005 is divided by i.
18
Suppose 21 = 3*w + 4*w. Let z(k) = k + 3. What is the remainder when z(w) is divided by 2?
0
Let z(i) = i + 17. Let o be z(-15). Calculate the remainder when 6/o*(-38)/(-3) is divided by 10.
8
Suppose -f = 2*t - 124, -4*f + 0*f = 2*t - 472. What is the remainder when f is divided by 7?
4
Let s(f) = 20*f + 214. What is the remainder when 26 is divided by s(-10)?
12
Let k(c) = 24*c**2 - 7*c - 11. What is the remainder when 919 is divided by k(-1)?
19
Let m(j) = 7*j**3 + j**2 + 7*j - 12. Calculate the remainder when m(2) is divided by 35.
27
Suppose -3*s = -4*f + 1037, -f = 4*f - 2*s - 1305. What is the remainder when f is divided by 123?