Calculate the remainder when c is divided by n.
1
Suppose 505*h - 509*h = 3*x - 771, 956 = 5*h - 4*x. Calculate the remainder when h is divided by 61.
9
Calculate the remainder when 140 is divided by 3/(4 + 235/(-60)).
32
Suppose 68 = 10*i - 7*i - 4*y, y - 11 = -i. What is the remainder when 59 is divided by i?
11
Suppose -4*k - 4 = 48. Let d(u) = u**2 + 8*u - 16. Suppose 0 = 4*l + 3*q - 37, -5*l + 22 = -q - 29. Calculate the remainder when d(k) is divided by l.
9
Let k = 71 + -31. Let q be 2/(-3)*267 - -1*2. Calculate the remainder when k is divided by (q/56)/(-1 + 12/14).
18
Let p = 88 + -80. Calculate the remainder when 63 is divided by p.
7
Let h(x) = x**3 + 2*x**2 - x + 2. Let l be h(-3). Let c = l + 4. Suppose -j - 6 = -3*a, j = -2*a - c*a + 4. What is the remainder when a is divided by 1?
0
Suppose 4*j - 2*f = 10, -3*j + 3*f + 2*f = -11. What is the remainder when 10/6*(28 + j) is divided by 4 - 0/5 - -9?
11
Suppose -3*g - q = -0*q - 85, -2*q = g - 35. Suppose -8 = -4*s + 48. Calculate the remainder when g is divided by s.
13
Let l be (440/(-77))/((-4)/14). Suppose l + 25 = 3*f. Calculate the remainder when f is divided by 6.
3
Suppose 371 = 2*o - 5*z, -2*o + 5*z + 365 = 6*z. What is the remainder when o is divided by 46?
45
Suppose 31 + 0 = t. What is the remainder when (-3 - 77/(-21))/(3/234) is divided by t?
21
Let i = 536 - 520. Calculate the remainder when 73 is divided by i.
9
Suppose 1 + 7 = 2*b, 2*b = -5*h - 217. Let v = h + 127. Calculate the remainder when v is divided by 22.
16
Let t(y) = -y**2 - 7*y - 3. Let j be t(-3). Suppose 9*r = 18 - j. What is the remainder when r is divided by 1?
0
Calculate the remainder when 114 is divided by 1 + 0 - (-39 + 0 + 9).
21
Let y(t) = t**2 - 3*t - 26. What is the remainder when 90 is divided by y(-5)?
6
Suppose -l = 4*l + 15. Let a = l + 8. Let y = a + 2. Calculate the remainder when 24 is divided by y.
3
Suppose 26*s - 80 = 18*s. Calculate the remainder when 59 is divided by s.
9
Suppose -2*n + 64 = -5*v, -95 = -5*n - 3*v + 34. Calculate the remainder when 344 is divided by n.
20
Let f = 499 - 478. What is the remainder when 1112 is divided by f?
20
Let v = 14 + 2. Let w be (1 + 12 - 1) + -1. Let b = v - w. What is the remainder when b is divided by 2?
1
Suppose 105 = j + 4*j. Calculate the remainder when j/((-3)/9*-1) is divided by 8.
7
Let l(r) = -2*r**2 - 3*r + 2*r**2 + 6 + r + r**2. What is the remainder when 83 is divided by l(5)?
20
Let h = -19 - -21. Suppose -4*o + 13 = -b - 4, -2*b = h*o - 16. Let s = -5 + 10. Calculate the remainder when s is divided by b.
2
Let f = 10 - 7. Suppose 53 + 61 = f*v. What is the remainder when v is divided by 10?
8
Let a be -5*(0 - (-6)/(-5)). Let d = 19 + -17. Let y = a - d. What is the remainder when 10 is divided by y?
2
Let v(t) be the third derivative of 0*t + 1/6*t**3 + 0 + 0*t**4 - 3*t**2 + 1/12*t**5. What is the remainder when 10 is divided by v(-1)?
4
What is the remainder when (-2 + 1)/1*(-132 + 108) is divided by 7?
3
Suppose -2*b - 6 + 38 = 2*c, 0 = -5*c + b + 74. What is the remainder when 131 is divided by c?
11
Suppose -305 = 3*j + 2*j. Let n = j - -120. What is the remainder when n is divided by 15?
14
Suppose 20*k - 346 - 454 = 0. Calculate the remainder when k is divided by 29.
11
Let n = 112 + -110. What is the remainder when 31 is divided by ((-21)/(-6) - 5) + 27/n?
7
Let k(i) = -i**3 + 8*i**2 - 3*i - 24. Let t be k(7). Suppose t*n - 38 - 82 = 0. Let g(r) = -12*r. What is the remainder when n is divided by g(-1)?
6
Let b(n) = -2 - 2*n**2 - n - 5*n**3 + 2*n + n**3. What is the remainder when b(-2) is divided by (-15)/10 + (-500)/(-40)?
9
Suppose 0*y - 3*y = -4*v + 38, 34 = 4*v - y. What is the remainder when 71 is divided by v?
7
Let v be -1 - -5 - (13 + -16). Suppose -3*y = -v - 56. Suppose z + 2 = 0, -z + 22 = 3*n - y. Calculate the remainder when 59 is divided by n.
14
Suppose 0*x = 2*x. Suppose -20 = -4*r - x. Calculate the remainder when 19 is divided by r.
4
Suppose -919 + 861 = -2*n. What is the remainder when 82 is divided by n?
24
Let i = -160 - -157. Suppose -5 - 7 = -3*d. What is the remainder when 8 is divided by d - (i - -3)/(-2)?
0
Let g = 839 - -58. What is the remainder when g is divided by 11?
6
Let q(b) = 26*b - 24. What is the remainder when q(3) is divided by 7?
5
Let t(f) = -3*f**3 - 3*f**2 - 3*f - 2. Suppose 4*b = 5*m + 174, -5*m + 38 + 64 = 2*b. What is the remainder when b is divided by t(-2)?
14
Suppose 2*q + 156 = 4*k, -k - k + 5*q + 86 = 0. Let y = -267 - -275. What is the remainder when k is divided by y?
6
Suppose 4*a - 3*t + 4*t = 198, 4*a - 206 = -5*t. Let o = a + -15. Calculate the remainder when o is divided by 12.
10
Let d be 40/15 - (2 - (-12)/(-9)). Suppose -d*h + 23 = -3. What is the remainder when 34 is divided by h?
8
Suppose -12*s = -16*s + 12. Suppose -4*j + 31 = s. What is the remainder when 13 is divided by j?
6
Let d(n) = -8*n**3 - 3*n**2 + n + 4. Let y(w) = 4*w + 14. Let b be y(-4). Calculate the remainder when d(b) is divided by 19.
16
Suppose 2*y = 2*r + 34, y + 3*r = -2 - 1. Let q be (-1581)/12 + (-1)/4. Calculate the remainder when ((-2)/(-6))/((-2)/q) is divided by y.
10
Suppose 3*i - 13 - 14 = 0. Let d = 15 + -9. What is the remainder when i is divided by d?
3
Calculate the remainder when 99 is divided by (((-231)/14)/11)/(3/(-40)).
19
Let x = 84 - 22. Let o = 87 - x. Calculate the remainder when o is divided by (21/(-6))/(-5*5/50).
4
Let g = 33 - 20. Let v = 38 - -29. What is the remainder when v is divided by -1 + g + (-6 - -4)?
7
Let t = -13 + 19. Let f(p) = 2*p + 24. Let q be f(-8). Calculate the remainder when q*(-6 + 3)/(-3) is divided by t.
2
Let j = -756 - -796. What is the remainder when 244 is divided by j?
4
Let w be (8 - 9) + (-3 - 0). What is the remainder when 134 is divided by (-9)/((1/w)/((-15)/(-20)))?
26
Let z be (3/2)/(5/10). Suppose z*b - 976 = -b. Suppose 5*i - i - b = 0. Calculate the remainder when i is divided by 16.
13
Let l(j) = 45*j**2 - 6*j - 2. What is the remainder when l(-1) is divided by 40?
9
Let p(t) = -3*t**2 + 7*t + 20. Let r be p(6). Let j = r - -86. What is the remainder when j is divided by 7?
5
Suppose 5*x + 4*k - k = 37, 0 = 5*x + 4*k - 41. Let n = 20 - x. Calculate the remainder when n is divided by 4.
3
Suppose 16 = -6*p + 88. Let m(z) = 2*z**2 - 19*z + 34. What is the remainder when m(p) is divided by 33?
28
Let x = -279 - -306. What is the remainder when x is divided by 25?
2
Let l be ((-21)/(-14))/(6/16). What is the remainder when 45 is divided by -1 + l/(7 + -3) - -10?
5
Let j = 967 + -586. What is the remainder when j is divided by 51?
24
Let a be 1 - 4 - (-3 - -1). Let t = -12 - -17. Calculate the remainder when a - (-5 + 3) - -5 is divided by t.
1
Suppose -10 = -l - 0*l. Calculate the remainder when (-7)/3*(-18)/3 is divided by 2/l - (-48)/10.
4
Calculate the remainder when 244/3*(-792)/(-96) is divided by 136.
127
Let b = 154 - 155. What is the remainder when b - 2 - 2/(-1) - -43 is divided by 15?
12
Let m = 40 - 76. Let b = 53 + m. Let n = 91 + -44. Calculate the remainder when n is divided by b.
13
Suppose 6*o - 1500 = -24*o. Calculate the remainder when o is divided by 15.
5
Let k = -1048 + 1219. Calculate the remainder when k is divided by 6.
3
Let k be 48 + -6 - (-1 - 0). Suppose -5*a = 2*q - 133 - k, 3*a - 5*q - 118 = 0. What is the remainder when 34 is divided by 1/((4/a)/1)?
7
Let k(v) = -38*v - 580. What is the remainder when 550 is divided by k(-20)?
10
Suppose -3 = k - b + 1, 2*b - 10 = 0. Suppose 1 = -l + 3. Calculate the remainder when l is divided by k.
0
Let n = 5 + 22. Let i = 58 - 6. Let t = i - n. Calculate the remainder when t is divided by 9.
7
Let x(b) = 2*b + 18. Suppose -5*y + 7*y + 24 = 0. Let k be x(y). Let t(c) = c**3 + 8*c**2 + 7*c + 2. What is the remainder when 61 is divided by t(k)?
29
Let y(m) = -10*m + 5. Let w be y(-7). Let b = -41 + w. What is the remainder when b is divided by 12?
10
Suppose -3*v + 23 + 22 = 0. Suppose -b + 21 = 1. Let q = b - -22. What is the remainder when q is divided by v?
12
Suppose -5*n + 5*r + 1349 - 9 = 0, -r = 2. Suppose -5*k - n = -12*k. Calculate the remainder when k is divided by 14.
10
Suppose -311 = -5*w - 4*m, 3*w - 5*m + 68 = 225. Let z = -34 + w. What is th