when 6/(30/425) + 4 + -1 is divided by s?
16
Let r = -46 + 49. Suppose -4*x + 182 = r*x. Calculate the remainder when 127 is divided by x.
23
Suppose 4*m - 48 = 2*f, -m + 0*f + 17 = -3*f. Suppose -128 = -h - 0*h. Suppose u - h = -3*u. Calculate the remainder when u is divided by m.
10
Let s be (-11)/(-77) + (-2397)/21. Calculate the remainder when 70 is divided by (s/12)/(1/(-2)).
13
Suppose -5*c - 96 = -6*c. Calculate the remainder when c is divided by 11.
8
Let a = -29 + 35. Let m(w) = -w + 11. What is the remainder when 7 is divided by m(a)?
2
Let f = 0 - -8. Let i be (-33)/(-22)*(-4)/(-3) - -49. Let c = 74 - i. What is the remainder when c is divided by f?
7
Suppose -3*p - 3*b + 8*b = -29, 4*p = 3*b + 35. What is the remainder when 70 is divided by p?
6
Suppose -7*b - 232 = -274. What is the remainder when 248 is divided by b?
2
Let k = 25 + -22. Suppose -k*g + t = -144, -t = 3*g - 4*t - 138. Suppose -u = -2*u + 26. What is the remainder when g is divided by u?
23
Let a = -111 + 165. Suppose -3*f = 6 - 21. Let x(c) = -c**3 + 7*c**2 - 6*c - 1. What is the remainder when a is divided by x(f)?
16
Suppose -2*q - 4*o + 38 = 0, q + 3*o - 22 = -2*o. Calculate the remainder when (-21)/6*-14*1 is divided by q.
15
Suppose 25*u + 780 = 31*u. Let n = -98 + u. Calculate the remainder when n is divided by 10.
2
Suppose 0 = 5*z - 20, -5*z + 151 = 5*v - 9. Suppose -g = -u - 3*g + 7, -g + v = 4*u. What is the remainder when 16 is divided by u?
2
Let z(l) = 17*l**2 - 4*l - 5. Calculate the remainder when 58 is divided by z(-1).
10
Suppose 23980 = 1091*x - 1081*x. Calculate the remainder when x is divided by 96.
94
Suppose 0 = -10*t + 5*t + 4*c + 752, 4*t - 604 = 4*c. What is the remainder when t is divided by 50?
48
Suppose -4*j = -89 - 47. Suppose 23*z = 73*z - 28*z - 2200. Calculate the remainder when z is divided by j.
32
Let m(w) = w**2 + 5*w + 4. Let k be m(-3). Let o(u) = -u**2 - 12*u - 27. Calculate the remainder when (-2 + 94)*(-1)/k is divided by o(-5).
6
Let o be (-1)/3 - (152/(-24) + 2). What is the remainder when 1060/90 + o/18 is divided by 9?
3
Let o be 5 - (7 + -5) - -1. Suppose o*w - 156 = 2*u - 0*u, -2*w - 2*u + 84 = 0. What is the remainder when w is divided by 23?
17
Suppose 0 = 11*u + 3*u - 42. What is the remainder when 19 is divided by u?
1
Suppose -3*v = -6*v - 3, -2 = 2*y + 2*v. Suppose -4*h = 4*f + 28 - 4, y = -2*h - 3*f - 10. What is the remainder when (h/6 - 1)*-21 is divided by 17?
15
Suppose -4*c + 36 = 2*q, -q + 20 - 6 = -2*c. What is the remainder when 86 is divided by q?
6
Suppose -609*k + 617*k = 784. What is the remainder when 587 is divided by k?
97
Let a = 10 - -42. What is the remainder when a is divided by 7?
3
Calculate the remainder when 142 is divided by (-12)/(-4) + (-18)/(-1).
16
Let g(s) = -13*s - 10. Calculate the remainder when 108 is divided by g(-2).
12
Let w be (-7)/(42/(-20))*-3. Let v be 2206/10 + 6/w. Suppose c + c - v = 3*y, -3*y = 0. What is the remainder when c is divided by 28?
26
Suppose 0 = -6*h + 9*h - 54. Suppose -2*f = -3*f + 71. What is the remainder when f is divided by h?
17
Let c(w) = w**3 + 34*w**2 + 12. Suppose -172 + 421 = 3*o. What is the remainder when o is divided by c(-34)?
11
Let a(j) = j - 2. Let c be a(2). Let y(k) = -k**2 - k + 34. Let h = 51 + -33. Calculate the remainder when y(c) is divided by h.
16
Suppose q + q - 18 = 0. Let g = 21 - 38. Let v = 17 - g. Calculate the remainder when v is divided by q.
7
Let x be (-1 + 23)*8/(-16). Let r = 4 - x. What is the remainder when 38 is divided by r?
8
Let m = 296 - 263. Calculate the remainder when 60 is divided by m.
27
Let a(u) = -40*u**3 + u**2 + u. Let h be a(-1). Suppose -i - h = i. Let j = i + 29. Calculate the remainder when 17 is divided by j.
8
Suppose 5*x - 81 = 44. Calculate the remainder when 97 is divided by x.
22
What is the remainder when 622 is divided by (-140)/(-5) + 4 + -7?
22
Suppose -5*h = 1 + 4, 982 = 3*a - 4*h. What is the remainder when a is divided by 22?
18
Let b = 452 - 440. What is the remainder when 102 is divided by b?
6
Let y(n) be the second derivative of n**3/3 + 17*n**2/2 + 15*n. What is the remainder when 26 is divided by y(-4)?
8
Let y(g) = 12*g + 45. Let a be y(-4). Suppose -4*k = -15 - 5. Calculate the remainder when (-24 - a)/((-24)/16) is divided by k.
4
Let x be 66/15 + 6/(-15). Suppose 0 = -2*r - 0*r + x. Suppose -4*l = 3*f - 35 - 48, r*f - 2*l - 46 = 0. What is the remainder when f is divided by 14?
11
Suppose -3*q = s - 11, -2*q - 24 = s - 6*q. What is the remainder when 2 is divided by (-33)/(-22)*s/(-3)?
0
Suppose -3*v + 7 = h, -4*v - 2 + 3 = 3*h. Let c = 28 + -14. Calculate the remainder when (-4)/c - 158/(-14) is divided by v.
3
Suppose -5*s - 19 = -3*v - 79, v - 24 = -2*s. Let w = s - 6. Calculate the remainder when w is divided by 3.
0
Let c(a) = -a**2 - 37*a + 175. Calculate the remainder when 569 is divided by c(-41).
8
Suppose 45 - 127 = -2*c + 4*d, 0 = c + 4*d - 17. What is the remainder when 64 is divided by c?
31
Let g(d) = d**2 - 3*d - 13. Let h be g(6). Suppose 0 = h*u, -5*u + u - 116 = -2*t. Calculate the remainder when t is divided by 30.
28
Suppose 2 = 5*f - 8. Suppose -w - f + 6 = 0. Suppose -5*x - 10 = 0, 4*g - w*x = -0*g + 48. Calculate the remainder when 17 is divided by g.
7
Let j be 82 - 5/(20/8). Let w = j - 47. Calculate the remainder when w is divided by 18.
15
Let l(f) = f**2 + 3*f. Let s be l(-2). What is the remainder when s/(-3) + 273/9 is divided by 1 - ((-5)/((-5)/(-6)) - (367 + -363))?
9
Suppose n + 421 = 4*v, v + 42*n - 107 = 44*n. Calculate the remainder when v is divided by 37.
31
Suppose 4 = 5*n - 4*z, n = -4*n + 5*z. Suppose 0 = -2*f - n*t + 90, f - 4*t - 15 = -0*t. Calculate the remainder when 173 is divided by f.
33
Let k = -54 - -145. Suppose -k = -0*l - 7*l. Let i = 75 - 24. What is the remainder when i is divided by l?
12
Suppose 7*s - 4*s = 0, 0 = 2*r - 2*s - 12. Let w(y) = 23*y + 14. Calculate the remainder when w(r) is divided by 14.
12
Let q(d) = -43*d + 10. Let y(a) = -14*a + 3. Let k(b) = 2*q(b) - 7*y(b). Calculate the remainder when k(3) is divided by (140/(-84))/(5/(-54)).
17
Suppose 4*u - 25 + 41 = 3*f, 4*f - 5*u - 21 = 0. What is the remainder when f is divided by 2?
0
Let s = -293 + 313. Calculate the remainder when 148 is divided by s.
8
Suppose -6*g + 60 = 48. Calculate the remainder when 54 is divided by g.
0
Let v(n) = -n**2 + 3*n + 22. Suppose -l - 3*d + 42 = 0, l + 5*d = -3 + 51. Let o = 78 - l. What is the remainder when o is divided by v(5)?
9
Calculate the remainder when 145 is divided by (-1)/(-3) + (-550)/(-15) - -3.
25
Let r(d) = -d**3 - 2*d**2 - d - 1. Let x = 45 + -45. Suppose x = -j + t - 2, 4*t - 6 - 8 = j. What is the remainder when j is divided by r(-2)?
0
Let p(r) = -r**3 + 11 + 5*r - 14 + 2*r**2 + 0*r**2. Let t be p(3). Suppose -18 = -t*c + 45. What is the remainder when c is divided by 6?
3
Let u be -42 + 4 + -3 - (1 + 2). Let t = u - -65. What is the remainder when 41 is divided by t?
20
Suppose 5*l + 4*n - 21 = 0, -5*n + 18 = -2*l - 0*n. Calculate the remainder when 3 + l + -3 + 0 - -28 is divided by 15.
14
What is the remainder when 52 is divided by 13/1 - 9*1/(-3)?
4
Suppose 8*f = 9*f - 3*t - 11, 5*t = 5*f - 105. Let k = 13 - 8. Let s(i) = 5*i**2 + i - 1. Calculate the remainder when s(k) is divided by f.
25
Suppose 4*j - 307 = -10*c + 7*c, -2*j + 305 = 3*c. What is the remainder when c is divided by 15?
11
Let o(j) = 5*j - 13. Let t be o(7). Suppose 9*l - 23 = t. What is the remainder when 11 is divided by l?
1
Let q(w) = -w**3 - 5*w**2 - 5*w + 7. Suppose -3*o + 21 = 4*d, -6*o - 5*d = -3*o - 18. What is the remainder when q(-5) is divided by o?
10
Let c be 2/9 - 10/45. Suppose c*v + v = 23. Calculate the remainder when v is divided by 13.
10
Let a be (-12 - (-6)/(-2))/(6/(-4)). Calculate the remainder when 200/16*((-48)/a)/(-3) is divided by 12.
8
Let o = -587 - -636. What is the remainder when 95 is divided by o?
46
Let w(c) = c**2 - 9*c + 419. Calculate the remainder when w(-17) is divided by 4.
1
Suppose 118*f + 168 = 132*f. Let i(q) = 20*q - 1. Suppose 35 = 5*s + 5*p, 2*s + 31 = 7*s + 4*p. Calculate the remainder when i(s) is divided by f.
11
Suppose -58 = -4*d + 3*d. Let g(a) = a**2 - 6*a + 4. Let n be g(