*o + 5, 0 = f + o - 38. Let g be 24/7 + -3 + (-3)/7. Suppose g = p - 23 + 10. Calculate the remainder when f is divided by p.
9
What is the remainder when 74 + (18/(-2) - (8 + -13)) is divided by 38?
32
Suppose 90*k = 97*k - 182. Calculate the remainder when 521 is divided by k.
1
Suppose 0 = -7*w + 1145 - 795. Calculate the remainder when 98 is divided by w.
48
Suppose 4*k + 3*w - 137 = 0, -3*k - 2*w - 2 = -106. Let u = k + -69. What is the remainder when 1*((-9)/3 - u) is divided by 15?
13
Let m(c) = 1 + 2*c - 1 - 7 - 4. Let g be m(6). Calculate the remainder when 93*5/15 - g is divided by 8.
6
Suppose 0 = 5*v + q - 109, q = -2 + 1. Let w = 26 - v. Suppose w*b - 9 = -d, -3*b - 4*d + 1 = -9. Calculate the remainder when 6 is divided by b.
0
Suppose 0 = j - 83 + 25. Calculate the remainder when j is divided by 12.
10
Suppose -3*t = -p - 5, 4*p - 2*t = t + 16. Suppose 14*i = p*i + 252. What is the remainder when i is divided by 20?
16
Let p = -30 - -33. Suppose -p*o + 4*c + 26 = 0, -3*o = -0*o + 4*c + 14. Suppose -5 = -o*l + 19. Calculate the remainder when 21 is divided by l.
9
Let a = -189 - -227. Calculate the remainder when a is divided by 8.
6
Suppose 0 = 3*j + 2*d - 13, 12*j - 7*j = 3*d + 9. Let c(y) = -2*y. Calculate the remainder when c(-2) is divided by j.
1
Suppose -4*d + 5*m + 21 = 0, 26*d - 2*m - 6 = 25*d. What is the remainder when d is divided by 4?
0
Let m = -628 - -652. Calculate the remainder when 260 is divided by m.
20
Let t(k) = 4*k - 6. Suppose 11*s = 671 + 88. What is the remainder when s is divided by t(5)?
13
Calculate the remainder when (-327 + 0)*(32/6)/(-16) is divided by 37.
35
Let f(l) = -5*l**2 - 6*l - 5. Let o(d) = -4*d**2 - 5*d - 4. Let p(t) = -5*f(t) + 6*o(t). Let z be 24/4*6/9. Calculate the remainder when 32 is divided by p(z).
15
Let j = -33 - -26. Let b(r) = 4*r**2 + 15*r + 10. What is the remainder when b(j) is divided by 26?
23
What is the remainder when 286 is divided by 2 - 8 - (-51)/1 - 4?
40
Let j(c) = -c**2 - 9*c + 8. Let z be j(-9). Suppose p - 36 = 4*d, 0 = p + 3*d - z. What is the remainder when 77 is divided by p?
17
Suppose 4*c = -22*i + 23*i + 5926, 2*i - 4 = 0. Calculate the remainder when c is divided by 9.
6
Let r(w) = 19*w + 28 - 7*w - 9*w + 1. Let l(q) = -4*q - 1. Calculate the remainder when l(-2) is divided by r(-9).
1
Let l be (-110)/(-33) + (-1)/3. Let t(r) = -4 + 5 - 8*r**l + r - 7*r**3. What is the remainder when 57 is divided by t(-1)?
12
Let k be -2 + (-1 - -79) + -2. Suppose 0 = -3*b - k + 11. Let y = 42 + b. What is the remainder when 41 is divided by y?
20
Let q be (1 + 2 + -9)/((-12)/8). Suppose 0 = -q*n + 27 + 13. Calculate the remainder when 18 is divided by n.
8
Calculate the remainder when 56 is divided by (-1)/7*-2*(238 + -203).
6
Let s = 127 - 114. What is the remainder when 26 is divided by s - (1 - 1 - 2)?
11
Calculate the remainder when 3*3/36 + 2317/28 is divided by 39.
5
Suppose 255 = 15*r - 0*r. Calculate the remainder when 67 is divided by r.
16
Suppose 2*t - 16 = -2*f, 0*t - 4*t = -5*f + 58. What is the remainder when 628 is divided by f?
8
Calculate the remainder when ((-9)/(-15))/((-5)/(-1325)) is divided by 27.
24
Suppose -4*h = a - 26, 0 = -4*a + 2*h + 49 + 19. Let y = 87 + -81. Calculate the remainder when a is divided by y.
0
Suppose -5*s + 251 = 16. What is the remainder when s is divided by ((-6)/(-24))/(13/1300)?
22
Let o(g) = 38*g**2 - g + 1. Suppose 1 = -3*d + 4. Let l be o(d). What is the remainder when 8*(-2 - l/(-8)) is divided by 6?
4
Let h = 23 - 16. Let j(x) = -x**3 + 9*x**2 - 10*x + 1. Calculate the remainder when j(h) is divided by (-96)/(-10) + 2/5.
9
Let k(s) = s**3 + 53*s**2 + 49*s - 18. What is the remainder when k(-52) is divided by 38?
24
Suppose 2*i = -4*a + 22, 3*i - 33 = a - 4*a. Calculate the remainder when 175 is divided by i.
10
Let s = 40 + -37. Suppose 27 = 2*d + s*g, 2*g - 5*g = 3*d - 39. Suppose 0*w - 5*w - 2*n = -41, 4*n + 9 = 3*w. What is the remainder when d is divided by w?
5
Suppose -20*c = -37*c + 2516. What is the remainder when c is divided by 89?
59
Let s(g) = g**3 + 8*g**2 + 11*g + 51. Calculate the remainder when 794 is divided by s(-6).
53
Let y = -11 + 17. Suppose 162 - 38 = 4*g. What is the remainder when g is divided by y?
1
Suppose 2*y - 3*j + 88 = -4*j, -3*j - 39 = y. Suppose 15 = 18*b + 213. Let x = b - y. Calculate the remainder when 133 is divided by x.
31
Let g = -2495 - -3014. What is the remainder when g is divided by 9?
6
Let r(b) = b**2 - 13*b - 4. Let w(l) = 5*l**3 - 3*l**2 + 2*l + 1. Let h be w(2). Let o = 48 - h. What is the remainder when 51 is divided by r(o)?
25
Let b(r) = r**2 + 36*r - 26. What is the remainder when 317 is divided by b(-37)?
9
Let t = -23 + -10. Let v = t + 36. What is the remainder when 9 is divided by v?
0
Let r(a) be the second derivative of a**4/6 - 2*a**3 + 23*a**2/2 + 15*a. Calculate the remainder when r(9) is divided by 2/(-4) + 99/6.
13
Suppose -51*w + 45*w = -168. Calculate the remainder when 1146 is divided by w.
26
Suppose 2*y - r + 5*r - 6 = 0, -5*y + r - 18 = 0. Let o = 27 + y. Suppose -22 = -5*m + 43. Calculate the remainder when o is divided by m.
11
Suppose 0 = 2*q + 2*o + 6, 4*q + 2*o - 4 + 6 = 0. Suppose -19 = -3*b - 7*v + q*v, -v = 5*b - 39. What is the remainder when b is divided by 3?
2
Let l(x) = x**2 + 10*x + 16. Suppose -7*k = -3*k - 16, -3*q + 119 = 2*k. Calculate the remainder when l(-14) is divided by q.
35
Calculate the remainder when 156 is divided by (-27)/(3 - 42/7).
3
Suppose 5*u + 3*m = -544, 0*m - 334 = 3*u - 2*m. Let s = -73 - u. Calculate the remainder when 69 is divided by s.
32
Let o be (-2 - (-1095)/21) + (-1)/7. Let c = o - 47. What is the remainder when 18 is divided by c?
0
Let a(l) = 3*l**2 - 7*l + 3. What is the remainder when a(6) is divided by 7?
6
Let x(b) = 2*b**2 + 5*b - 3. Let v be (3 - 2)/(3/75). Let h = 33 - v. What is the remainder when x(3) is divided by h?
6
Suppose -10*m = -7*m - 15. Suppose -7 = -m*s + 188. Let i = 38 - 30. What is the remainder when s is divided by i?
7
Suppose j = -3*x + 4*x - 16, 0 = -2*x - 4*j + 56. Suppose x*z + 345 = 25*z. Calculate the remainder when z is divided by 6.
3
Let k(r) = -3*r + 3. Let b be k(-11). Let f be 30/(-3 - b/(-16)). Let l = -23 - f. What is the remainder when 49 is divided by l?
15
Suppose 2*n + 3*s = 68, 2*n - s = 6*n - 116. Calculate the remainder when n is divided by 20.
8
Calculate the remainder when 45 is divided by 1159/61 + (1*14)/2.
19
Let m be (-6)/((-2)/4 - -2). Let q = 19 + m. Calculate the remainder when 29 is divided by q.
14
Suppose -10*y = 35 + 5. Calculate the remainder when 12 is divided by 1*((9 - 0) + (y - -3)).
4
Suppose 2*p - 6 = 4. Suppose 14 = 6*k - 94. What is the remainder when k is divided by p?
3
Let i be (6/15)/((-12)/(-30)). Suppose 4*j = 544 - 100. Calculate the remainder when j is divided by 23 + 2/i - (-9)/3.
27
Let a(n) = n**3 + 2*n**2 - 4*n + 2. Let j be a(-4). Let g(l) be the first derivative of -l**2/2 - 4*l - 1. What is the remainder when g(j) is divided by 4?
2
Let g(r) = 63*r - 5. What is the remainder when g(1) is divided by 24?
10
Let p(i) = i**2 - 2*i + 2. Suppose 5*r + 8 - 113 = 0. What is the remainder when p(-8) is divided by r?
19
Let a(x) = x**3 + 6*x**2 + 8*x + 5. Let m be a(-4). Suppose -t - m*z = 12, z = -5*t - z + 55. What is the remainder when 48 is divided by t?
9
Let j(h) = -4*h**3 - 2*h**2 - 3*h - 6. Calculate the remainder when j(-3) is divided by 8.
5
What is the remainder when 5*256/40 - -5 is divided by 18?
1
Let q(f) be the first derivative of -3/2*f**2 + 4*f + 7 + 1/3*f**3. Calculate the remainder when 13 is divided by q(4).
5
Let n = 38 + -97. Let c = 89 + n. Let b(t) = -t**2 + 10*t - 5. What is the remainder when c is divided by b(7)?
14
Let h(k) = -k**3 - 5*k**2 + 8*k - 13. Let s(n) = -4*n**3 - 16*n**2 + 25*n - 39. Let w(u) = 7*h(u) - 2*s(u). Calculate the remainder when 53 is divided by w(4).
26
Suppose -5 - 45 = -5*x. Suppose -5*l + 0*t = -3*t - 41, 0 = 5*l - 5*t - 45. What is the remainder when (-2)/(-6)*l/((-21)/(-153)) is divided by x?
7
Let k = -401 + 455. What is the remainder when 267 is divided by k?
51
Suppose 0 = -t - 2*t + 237. What is the remainder when t is divided by ((-1)/(-1) + -3)*(1 - 11)?
19
Let 