d by 15.
13
Let s = -945 - -979. What is the remainder when 74 is divided by s?
6
Suppose 13*r + 10*r - 3197 = 0. Calculate the remainder when r is divided by 102.
37
Suppose 0*f + 4*f = -5*l - 96, -3*l - 59 = f. Let c = -14 - l. Let q(k) = 5*k + 3. Calculate the remainder when q(4) is divided by c.
5
Let d be ((-45)/(-6))/((-2)/(-8) - 1). Let s(h) = -16*h**3 - h**2 + 1. Let a be s(-1). Let j = d + a. What is the remainder when 22 is divided by j?
4
Let h(c) = -147*c + 10. Calculate the remainder when h(-1) is divided by 40.
37
Suppose 412 = 3*g + g. Let r = 1476 - 1423. Calculate the remainder when g is divided by r.
50
Let w(c) = 2*c**2 - 6*c - 1. Let s be w(3). Let x = 31 - -10. What is the remainder when x is divided by (s/4)/(1/(-44))?
8
Calculate the remainder when 908 is divided by (0 - -1)*(166 - 153).
11
Suppose 51 = 4*u - 49. What is the remainder when u is divided by 14?
11
Let d(v) = 17*v**2 + 78*v + 318. What is the remainder when d(-4) is divided by 41?
32
Let x(a) = a + 6. Let o be x(-4). Let b be (4/3*3)/o. Suppose 3*c + b*g - 49 = 0, -g - 58 = -2*c + 4*g. Calculate the remainder when 54 is divided by c.
16
Let l(c) = 8*c + 5. Let z be l(9). Suppose -69 = -2*x - 5*w, -3*w + 4 = 3*x - z. Calculate the remainder when 63 is divided by x.
19
Suppose -17*j = -2*j - 60. Suppose w + 12 = -3*v + j*v, 2*v - 5*w - 15 = 0. Calculate the remainder when (6/(-4))/(6/(-224)) is divided by v.
11
Let j = 5 - -3. Let c(t) = t**2 + 4*t + 3. Let r be c(-3). Suppose -3*q = -4*l - 81, -q + l = -r*q - 28. What is the remainder when q is divided by j?
7
Suppose 33 = -2*n - 47. Let g = 85 + n. Let y(c) = c**3 - 8*c**2 + 16. What is the remainder when g is divided by y(8)?
13
Suppose 53*o = 64*o - 693. What is the remainder when o is divided by 13?
11
Suppose f = -0*f + 2. Suppose -f*d + 10 = -28. Suppose 0*w = -5*x - 4*w + d, -x - 2*w - 1 = 0. What is the remainder when x is divided by 2?
1
Let r(w) = 10*w**2 + 3*w - 12. Let n(y) = 9*y**2 + 2*y - 11. Let m(l) = 5*n(l) - 4*r(l). Calculate the remainder when 84 is divided by m(-2).
16
Let j be -2*9/(9/(-2)). Calculate the remainder when 29 is divided by (-4 + 16)/(3/j).
13
Suppose a + 64 = 4*i, -5*i + 55 + 25 = 2*a. Let l = 2 + i. What is the remainder when 71 is divided by l?
17
Let r be (-184)/(-2)*(-6)/(-8). Let j = -17 + r. Calculate the remainder when j is divided by 9.
7
Let m = -15 - -38. Suppose -19 = j - m. What is the remainder when 13 is divided by j?
1
Let y(g) = 4*g + 1. Calculate the remainder when 75 is divided by y(16).
10
Let u(w) = -w**3 + 5*w**2 + 2*w + 7. Let k(r) = r**2 + 7*r - 8. Let q be k(-9). Suppose 4*f = 2*f + q. Calculate the remainder when u(f) is divided by 6.
5
Suppose 5*n = -2*s + 31 - 111, -2*n - 4*s = 48. Calculate the remainder when 45 is divided by -7*(4 - (-80)/n).
9
Suppose 274 = 4*p - 2*z, 3*p - 8*z = -13*z + 199. Calculate the remainder when p is divided by 10.
8
Suppose -289*m = -293*m + 568. What is the remainder when m is divided by 37?
31
Suppose -i = -2*n - 6, -2*n - 2*n - 12 = -5*i. Suppose 0*x = -2*x + 5*l - 9, i = -x + l + 3. Calculate the remainder when 29 is divided by x.
5
Let u(n) be the first derivative of n**3/3 + 3*n**2/2 - 7*n + 4. Let p = -5 + 8. Calculate the remainder when u(-5) is divided by p.
0
Suppose -34*r = 5*r - 2691. What is the remainder when 125 is divided by r?
56
Suppose 6*y - 729 + 21 = 0. What is the remainder when y is divided by 20?
18
Suppose 0 = 7*w + 148 - 204. Let g = -7 - -5. Calculate the remainder when g/6 - 64/(-3) is divided by w.
5
Let l = -89 + 157. What is the remainder when l is divided by 53?
15
Calculate the remainder when 123 is divided by 39 + (7 + (-18)/(-6) - 4).
33
Let o(v) = 23*v. What is the remainder when o(3) is divided by 26/2 + (2112/(-48) - -45)?
13
Suppose -4*k + 2*k = -106. What is the remainder when k is divided by ((-2)/6)/((-49)/24 + 2)?
5
Let m = 497 + -488. What is the remainder when 293 is divided by m?
5
Let p = -21 + 7. Suppose -7*s + 36 = 8. What is the remainder when s is divided by (-49)/p - (-2)/(-4)?
1
What is the remainder when 81 is divided by ((-320)/(-24) + 1)*3?
38
Suppose -2*n = 454 - 462. Let i = 5 + 0. Calculate the remainder when i is divided by n.
1
Let s = -1 + 3. Let b(i) = 3*i**2 + 5*i + 14. Let v be b(-5). Suppose -5*n = -0*l - s*l - 87, v = 4*n + 4*l. What is the remainder when 49 is divided by n?
15
Suppose -n - 165 = -2*i, -3*i + 327 = i - 5*n. Suppose 2*w - 42 = -w. What is the remainder when i is divided by w?
13
Suppose -7*y + 6*y = -26. What is the remainder when 110 is divided by y?
6
Suppose 0 = 5*g + 5*y - 790, 6*g - 322 = 4*g + y. Calculate the remainder when g is divided by 42.
34
Let t(o) = o + 1. Let l(b) = 2*b + 17. Let f(s) = l(s) - 3*t(s). Calculate the remainder when f(-11) is divided by 9.
7
Let x = -2 + 18. Let y = 25 - x. What is the remainder when 26 is divided by y?
8
Suppose 7*t = 4*t + 9. Suppose -3*n + 4*u = -43, 5*u = -2*n + 39 + 28. Suppose l - 5*f = n, 5*l + 2 - 55 = -f. What is the remainder when l is divided by t?
2
Suppose 104 = 2*f - 164. Suppose 3*t = t + f. What is the remainder when t is divided by 440/26 - (-156)/2028?
16
Let s(n) = -n**3 - 4*n**2 + 8*n. Let t(r) = 5*r**3 + 16*r**2 - 33*r - 1. Let v(y) = 9*s(y) + 2*t(y). Calculate the remainder when 86 is divided by v(4).
20
Let a be 6/(-2 - 95/(-40)). Suppose 2*n - a = n. Let j = n - -11. What is the remainder when j is divided by 15?
12
Suppose 15*o - 7*o - 1856 = 0. Calculate the remainder when o is divided by 47.
44
Let v(f) = -f**2 - 7*f - 8. Let g be v(-4). Suppose -g*o = -6 - 6. Calculate the remainder when o/(-2)*(-420)/18 is divided by 9.
8
Suppose 2 + 7 = -3*f. Calculate the remainder when 43 + 0/((f - -4)*1) is divided by 11.
10
Suppose 74*s = 78*s - 92. What is the remainder when 148 is divided by s?
10
Suppose 0 = 2*a - 41 - 9. Suppose 3*z - 14 = 5*m + 290, 2*m = 2*z - 200. Calculate the remainder when z is divided by a.
23
Let t(m) = -148*m - 582. Calculate the remainder when 30 is divided by t(-4).
0
Let k = 57 - 36. Let l = k + -68. Calculate the remainder when (-9)/(-3)*l/(-3) is divided by 16.
15
Suppose -4*h + q = 13, -h + 3*q - 9 - 8 = 0. Let i be (-453)/(-6) + (-1)/h. Suppose 0 = -8*l + 4*l + i. Calculate the remainder when l is divided by 11.
8
Let x(b) = -b**2 - 5*b - 3. Let h be x(-3). Suppose h = 5*r - 4*r. What is the remainder when 4 is divided by r?
1
Let c(h) = -h + 41. Let j(v) = v**2 - v + 5. Let f(l) = l**2 + 8*l + 3. Let b be f(-8). Calculate the remainder when c(0) is divided by j(b).
8
Suppose 0 = -4*d - 3*y + 131, -y + 6*y = 3*d - 91. Suppose -6*m = -4*m - d. What is the remainder when 61 is divided by m?
13
Suppose 22 = -5*j - 18. Let t(q) = -q**2 - 12*q - 14. Let v be t(-10). What is the remainder when 11 is divided by (v/j)/(3/(-12))?
2
Let m(j) = 42*j - 98. Calculate the remainder when 671 is divided by m(3).
27
Suppose -10 = -2*h - 0*h. Suppose -32 = -s - 5*w, -4 = h*s - 5*w - 44. Suppose -3*l + 93 = -12. Calculate the remainder when l is divided by s.
11
Let h be 182/13 + (-2)/1. Suppose 28 = d + 4*d - 3*n, -5*n + h = -d. Suppose d = -3*f + 4*f. Calculate the remainder when 13 is divided by f.
5
Calculate the remainder when (2/(-4))/(((-5)/296)/5) is divided by 3.
1
Let f be (-4)/(-26) - 7065/39. Let m = -102 - f. Calculate the remainder when m is divided by 27.
25
Let k(d) = -d**2 - 9*d + 1. Let z(n) = -n**2 - 4*n - 2. Let r be z(-5). Calculate the remainder when k(r) is divided by (-1)/4 - 34/(-8).
3
Let w = 401 - 248. Suppose 114 - 21 = 3*h. Calculate the remainder when w is divided by h.
29
Suppose 0 = c - s + 3*s - 12, -2*s = 8. Suppose 84*n = 1081 + 15551. What is the remainder when n is divided by c?
18
Let c = 182 + -175. Calculate the remainder when c is divided by 5.
2
Let h = 28 + -17. Suppose -j = -5*i + 14, -i + h = 5*j + 3. What is the remainder when (138/(-1 - j))/(-1) is divided by 24?
21
Let w(k) = 3*k**2 + 2*k + 3. Let q be w(-2). Let g(p) = p**2 - 12*p + 7. Let l be g(q). Let c(n) = -3*n + 3. Calculate the remainder when 58 is divided by c(l).
13
Let a(f) = f - 1. Let o be a(-1). Let z be (216/(-4 + 0))/o. Suppose 0 = -i + z - 0. Calculate the remainder when i is divided by 7.
6
Suppose -g - 2*g = -2*d + 8, -4*g - 2*d = 34. 