6 - 57. Let n = k + 77. What is the remainder when 41 is divided by n?
9
Suppose -2*r = -r - 3. Suppose -r*j - 2*w = 3*w - 45, j - 2*w - 15 = 0. What is the remainder when 57 is divided by j?
12
Suppose -u = 5*u + 18. Calculate the remainder when 44 is divided by (177/12 - (-2)/8) + u.
8
Let h(u) = 8*u + 494. Calculate the remainder when 431 is divided by h(-55).
53
Suppose -7*y + 13 + 57 = 0. Suppose -o = -4*s + 3 + y, o + 4 = s. Let f = -2 - -10. Calculate the remainder when f is divided by s.
2
Suppose 0*z - 4 = z. Let n = -932 - -941. What is the remainder when (0 + 6)*(-22)/z is divided by n?
6
Let d = 85 - 76. What is the remainder when 18 is divided by d?
0
Calculate the remainder when 360 is divided by 53 + -4 + 33/11.
48
Let l = -13 - -14. Let v be 17/4*(l + 3). Suppose -v*w + 14*w = -54. Calculate the remainder when 70 is divided by w.
16
Let r = 93 + -87. Calculate the remainder when 41 is divided by r.
5
Let g(x) = x**2 - 2*x + 1. Let z be g(-4). Suppose 4*s - 5*q - 373 - 36 = 0, -z = 5*q. What is the remainder when s is divided by 25?
21
Suppose -2953 = -7*p + 1058. What is the remainder when p is divided by 25?
23
Suppose 24064 = 12*o + 52*o. Calculate the remainder when o is divided by 64.
56
Suppose y = -2*y + 30. Let z be 0 - 1*(-6 + 3). Suppose 4*j - 201 = -5*n, -z*j - 4*n + 2*n + 149 = 0. Calculate the remainder when j is divided by y.
9
Let n = 363 + -348. What is the remainder when 19 is divided by n?
4
Let x(f) = f**3 - 7*f**2 - 5*f - 13. Let i be -3 - -2 - 9*-1. What is the remainder when 54 is divided by x(i)?
10
Suppose -a = 2*a - 87. Let j = -18 + a. What is the remainder when 1*3/((-6)/(-38)) is divided by j?
8
Let x be ((-32)/1)/(-2) - -1. Calculate the remainder when 1 - -31 - (x + -14) is divided by 17.
12
Suppose -6*g + p - 109 = -g, -5*p + 20 = 0. Let h = 26 + g. What is the remainder when 9 is divided by h?
4
Let b = -270 + 295. What is the remainder when b is divided by 7?
4
Let y = 285 + -259. Calculate the remainder when 59 is divided by y.
7
Let w(i) = -i**2 + 10*i + 2. What is the remainder when 14 is divided by w(10)?
0
Let b be (-47)/1 + (1 - 3). Suppose 0 = -196*a - 23*a + 27*a + 3264. What is the remainder when (0 + 1)*(-1 - b) is divided by a?
14
Suppose 4*s = -4*v + 2544, -636 = -4*v + 3*v + s. Calculate the remainder when v is divided by 58.
56
Let s = 194 - 126. Suppose 7 = -d + 2, 4*i - 2*d - 38 = 0. Suppose i*k - s = 16. What is the remainder when 34 is divided by k?
10
Let p be 1*18 - (-6 - -10). What is the remainder when 73 is divided by 544/p - 5/(4 + -39)?
34
Let m(l) = -l + 22. Let b be (-32 - -2)*(-4)/8. What is the remainder when 20 is divided by m(b)?
6
Let b = -6 - -9. Suppose -3*p + 145 = -5*q, 0 = -6*p + b*p + 4*q + 149. Let x = -35 + p. Calculate the remainder when 76 is divided by x.
16
Let v = -578 - -611. What is the remainder when 524 is divided by v?
29
Suppose -14*j + 3066 = 770. What is the remainder when j is divided by 39?
8
Let f(d) = 2*d + 1. Calculate the remainder when (-4)/5 + (-2262)/(-290) is divided by f(2).
2
Calculate the remainder when 680/6*(-14 - 430/(-20)) is divided by 283.
1
Let v = -513 - -593. What is the remainder when v is divided by 17?
12
Let z(q) = -q**2 - 18*q - 41. What is the remainder when 48 is divided by z(-11)?
12
Let l(d) = 1. Let f(x) = 4*x - 8. Let z(a) = -f(a) - 8*l(a). Let o be z(-4). Calculate the remainder when 1 + (-2)/(-2) + o is divided by 7.
4
Let w be 2*((-3)/(-2))/(-1). Let j(l) = -13*l**2 - 11*l - 3. Let b(f) = 4*f**2. Let n(i) = 3*b(i) + j(i). Calculate the remainder when 39 is divided by n(w).
18
Suppose 13 = 3*z - 2. Let o = 54 - 60. Let d(a) = 3*a + 35. What is the remainder when d(o) is divided by z?
2
Let v(u) = 4*u**2 - 6*u + 10. Let d be v(9). Let i = d + -173. Calculate the remainder when i is divided by 18.
17
Suppose 2*m - 4 = -g, 0 = m - 6*m + 2*g - 8. Suppose m*c - 62 = -2*c. Suppose -c + 95 = u. What is the remainder when u is divided by 33?
31
Let c(z) = -z**2 + 10*z. Let y = 0 + 11. Let x = y - 2. Calculate the remainder when c(x) is divided by 6.
3
Let f(x) = -2*x + 40. Let r = 3 - -10. What is the remainder when 69 is divided by f(r)?
13
Let l = -608 - -633. Calculate the remainder when l is divided by -22*(0 - 1/2).
3
Let g(o) = 2*o**2 - 22*o - 4. Let d be g(13). Let u = -13 + d. Calculate the remainder when 103 is divided by u.
33
Let b = -28 - -38. Suppose -13*x + b*x + 33 = 0. What is the remainder when x is divided by 7?
4
Suppose 2*w - 4*c = -3*c + 105, 4*w + 2*c - 190 = 0. Let t = w + -43. What is the remainder when 15 is divided by t?
1
Let q(d) = -2*d. Let p(a) = 3*a - 1. Let v(t) = -2*p(t) - 2*q(t). Let b be v(-2). Let c = 6 + b. What is the remainder when 59 is divided by c?
11
Suppose -2*w - 137 + 339 = 0. Suppose 8*j = 35 + w. What is the remainder when 37 is divided by j?
3
Let b = 328 - 320. Suppose 0 = x - 3*i - i - 21, -3*i = 12. Calculate the remainder when b is divided by x.
3
Suppose -9 = -w + 13. Suppose m = -2*m - 12. Calculate the remainder when w is divided by ((-10)/2 - m) + 9.
6
Let w(p) = -3*p - 7. Let r be w(-3). Suppose -80 + 0 = -r*d. Suppose 0 = -2*t + 3*f + 23, d = 4*t - 5*f - 7. What is the remainder when t is divided by 4?
1
Let v = -23 + 26. Suppose -5*z - 73 = -4*a, v = z - 0. What is the remainder when a is divided by 4?
2
Suppose -v + o + 22 = 0, -3*v + 4*o + 13 = -2*v. Let w(f) = f**3 + f**2 - 3*f + 5. Calculate the remainder when w(4) is divided by v.
23
Let a = 1271 + -840. What is the remainder when a is divided by 36?
35
Suppose 5*d - i - 90 = 4*d, 0 = -d - 5*i + 60. What is the remainder when d is divided by 15?
10
Suppose 0 = -17*o + 113 + 363. Calculate the remainder when o is divided by 18.
10
Let b = 8 + 15. Suppose -3*f - 84 + 354 = 0. Suppose f = 5*x - 3*x. What is the remainder when x is divided by b?
22
Suppose 0 = -4*g + 9*g - 1035. Let s(l) = -l - 7. Let v be s(-7). Suppose 4*x - g - 85 = v. Calculate the remainder when x is divided by 19.
16
Suppose 0 = -4*k + 3*u + 43, -5*k + 39 = 4*u - 7. Suppose k = b + b. Calculate the remainder when 65/9 - (-16)/(-72) is divided by b.
2
Let h(j) = j**3 - 9*j**2 + 10. Suppose 5*v = 3*q - 20, v + v + 8 = 4*q. Suppose -9*n + 4*n + 185 = q. What is the remainder when n is divided by h(9)?
7
Let m(d) = -49*d - 5. Let j be m(1). Let o = 85 + j. What is the remainder when o is divided by 17?
14
Let b(j) = j + 11. Let l be b(8). Suppose -2*z + 13 = -o, 3*z + 2*z = o + 31. Suppose -l = -k + z. What is the remainder when 98 is divided by k?
23
Let p(s) = -s**3 - 6*s**2 + s + 3. Let c(o) be the third derivative of 7*o**4/24 + o**3/3 - o**2. Calculate the remainder when p(-7) is divided by c(3).
22
Let m = 32 - 4. Let v = -20 + m. What is the remainder when 14 is divided by v?
6
Let z = 1062 - 799. Calculate the remainder when z is divided by 69.
56
Suppose 4*t = 3*t + 48. Let r be (-77)/(-14)*(0 + 2). Let g = 28 - r. Calculate the remainder when t is divided by g.
14
Suppose -2*g = 2*m - 12, 0*m = -2*m. Suppose -65 = -g*y + 121. What is the remainder when y is divided by 19?
12
Let y(p) = 140*p - 6. Let n be y(2). Let v = n + -160. What is the remainder when v is divided by 29?
27
What is the remainder when (-10 + 5)*(-10 - 10) is divided by 23?
8
Suppose n = 2*h - h + 24, 2*n + 5*h = 34. Suppose 5*m + 5 = 5*j, -4*j + 1 = -5*m + 4*m. Calculate the remainder when (n/(-4))/(m/6) is divided by 12.
9
Let u be (-11 - -103)/(1/1). Suppose 2*v = u + 154. Calculate the remainder when v is divided by 42.
39
Suppose 5*g = -b - 45 + 1054, -2*g + 399 = 5*b. What is the remainder when g is divided by 5?
2
Suppose -94*o + 98*o - 124 = 0. Calculate the remainder when 155 is divided by o.
0
Suppose h = -5*b + 13, 2*h - 4*b - 4 = -2*h. Suppose -5*g - 2*w = -5*w - 27, -h*w = 2*g - 15. What is the remainder when 519/15 + g/15 is divided by 12?
11
Let n(a) = 7*a**2 + 57*a - 10. What is the remainder when n(-9) is divided by 0 + 1 - 2 - -10?
8
Let z be 2/(-5) - 18/5. Let f = 1 - z. Suppose 18 = t + 2*x, t - 81 = -t + f*x. Calculate the remainder when t is divided by 10.
8
Let h = 40 + -37. Let o be 8 - 6 - (1 - h). Suppose 113 - 1 = o*r. Calculate the remainder when r is divided by 8.
4
Let a = 347 + -151. Suppose -5*f + a + 44 = 0. Let w = f - 34.