 remainder when 72 is divided by r.
22
Let n(g) = -g**2 + 8*g + 7. What is the remainder when 66 is divided by n(0)?
3
Let l(v) be the second derivative of 1/2*v**2 + 0 + 4*v + 1/3*v**3. What is the remainder when 48 is divided by l(8)?
14
Let z(l) = -17*l**3 + 1. Let i be z(-1). Suppose n - w - 14 = 3*w, 2*n + 2*w = i. Suppose 243*p = 236*p + 203. Calculate the remainder when p is divided by n.
9
Let a = 295 + -170. What is the remainder when ((-4)/(-10))/((-1)/(-2))*a is divided by 26?
22
Let n be (-19 + 3)/((-24)/9 - -2). Let c = n - 9. What is the remainder when c is divided by 9?
6
Suppose 439*h + 476 = 467*h. Calculate the remainder when 321 is divided by h.
15
Let o(n) = 18*n - 18. Let c be o(4). Suppose 2*g = 5*j - 2*g - c, 0 = -3*j + g + 38. Calculate the remainder when 68 is divided by j.
12
Suppose -2*d = -6*d - 24. Let j(b) = -5*b + 6. Let l be j(-3). Let m = l + d. Calculate the remainder when 42 is divided by m.
12
Calculate the remainder when 5 - (1 + 5 + -20) is divided by 12.
7
Suppose -2*i + 9 - 1 = 2*h, 2*i + 4*h = 0. What is the remainder when 6/(-24) + 4 + (-219)/(-12) is divided by i?
6
Let p(v) = -6*v - 171. What is the remainder when p(-58) is divided by 51?
24
Suppose q + 11 = 5*v + 2*q, 5*q - 7 = -v. Suppose -3*a + 22 = -5*h, v*a = -a + 3*h + 18. Calculate the remainder when 8 is divided by a.
0
Let x be -3 - (-1)/((-1)/(-5)). Let z = 11 + x. Suppose 53 = 2*j + z. Calculate the remainder when j is divided by 11.
9
Suppose -12 = 2*p - 16. Calculate the remainder when 26 is divided by -18*(3/2 - p).
8
Let g(h) = h**2 + 5*h + 7. Let u be g(-7). Suppose -4*r = -4, 8*r - 4*r + u = x. What is the remainder when 45 is divided by x?
20
Let j(r) = 43*r - 10. Suppose s = -3*s + 8. Suppose -s = -2*h, 5*h = g - 5 - 7. Calculate the remainder when j(1) is divided by g.
16
Let o = -28 + 35. Suppose 0 = -o*i + 154 + 14. What is the remainder when i is divided by 6 - (-3 + 2 + -1)?
0
Calculate the remainder when 139 is divided by 19/((-456)/(-512))*3.
11
Calculate the remainder when (-43)/(-3 + (-16)/(-8)) is divided by 12.
7
Let f = -12 - -15. Let b be (3 - 9)*(f - 2). Calculate the remainder when (2/b)/(6/(-342)) is divided by 7.
5
Suppose 2*o + 9 = -5*p, p + 4*o - o = 6. Let x be -2 - (p - 0) - -3. What is the remainder when (-1)/(-4) + 227/x is divided by 30?
27
Let d be (-4)/(-6)*(-3)/(-2). Suppose 3*j - 6*j + 65 = 4*u, 4*j = 4*u - 44. What is the remainder when 0 - (25 + d)*-1 is divided by u?
12
Suppose -6*p + p - 3*q + 47 = 0, 4*p - 38 = -2*q. Let j = 101 - 42. What is the remainder when j is divided by p?
9
Let f = -211 - -335. What is the remainder when f is divided by 8?
4
Let l(h) = h**3 - 8*h**2 - 22. Let q be l(9). Let n = q + -46. Suppose 0*c = -2*c + 100. Calculate the remainder when c is divided by n.
11
Let r(l) = -l**2 - 43*l + 158. What is the remainder when r(-35) is divided by 73?
0
Let h(u) = -13*u**3 + 2*u**2 - u - 2. Let f be h(-1). Let j be (-1 - -3)/(2/4). What is the remainder when j/f - 804/(-28) is divided by 8?
5
Let i(f) = 55*f**2 + 2*f + 1. Let z(j) = j**2 + 19. Calculate the remainder when i(-1) is divided by z(0).
16
Let t = 359 + -262. What is the remainder when t is divided by 25?
22
Let l(f) = 23*f**2 + f + 1. Let n = 7 - 11. Let u(i) = -i**2 - 4*i - 1. Let x be u(n). Calculate the remainder when 45 is divided by l(x).
22
Calculate the remainder when 12/((-48)/44) + 67 is divided by (-4)/6 - 38/(-3).
8
Suppose -2*k = -3*a + 323, -4*a + 309 + 91 = 5*k. Calculate the remainder when 288/168*a/2 is divided by 13.
12
Let l = 73 + -138. Calculate the remainder when (4 - 78/15)*l is divided by 16.
14
Let u(s) = -132*s**3 + s**2 + s + 1. What is the remainder when u(-1) is divided by 45?
43
Suppose 0 = -17*s + 6*s + 110. Suppose -s*n + 12*n - 154 = 0. What is the remainder when n is divided by 40?
37
Let x = 0 + 5. Suppose 0 = 14*a - 41 - 57. Calculate the remainder when a is divided by x.
2
Let d be (4/(-5))/((8/10)/(-4)). Suppose -d*i + 5*j - 9 = 0, -i + 7*j - 16 = 3*j. What is the remainder when 31 is divided by i?
3
Suppose 4*w + 16 + 4 = 4*c, 4*w = -3*c - 34. Let t = -5 - w. Calculate the remainder when 13 is divided by (-8 - -9)/(t/14).
6
Suppose 3*x + 3 = 18. Suppose 2*c = 5*c + s - 9, -23 = -2*c + x*s. What is the remainder when 14 is divided by c?
2
Let r(a) = a**3 - 8*a**2 + 8*a - 10. Let l(s) = -s**2 + 8*s + 7. Let c be l(8). Let w be r(c). Let g = 12 + w. Calculate the remainder when 15 is divided by g.
6
Let f be ((-2)/(-5))/(3/(-15)). What is the remainder when -2 - (85 + -4)*f is divided by 18?
16
Let a = -28 - -31. Suppose -a*r = -7 - 32. What is the remainder when r is divided by 1 + 14/4*2?
5
Let t(s) = 3*s**2 + 29*s - 30. What is the remainder when t(-14) is divided by 35?
12
Suppose -69*k = -75*k + 42. What is the remainder when 37 is divided by k?
2
Let c = -1088 + 1070. Suppose 0*k + k + 31 = 0. Let a = c - k. Calculate the remainder when 50 is divided by a.
11
What is the remainder when (-3 - 153/18)*-2 is divided by 17?
6
Let a(m) = -16*m. Let v be a(6). Suppose -5*i = -p - 681, 5*i - p = -4*p + 697. Let s = v + i. What is the remainder when s is divided by 15?
11
Suppose 4*p - 14 = 2*q, 0*p - p + 2 = 0. Calculate the remainder when (7/q)/((39/18)/(-13)) is divided by 5.
4
Let f(g) = 3*g**2 - 74*g + 118. What is the remainder when 175 is divided by f(23)?
1
Suppose -5*w = -33 + 48. Let s(g) = g**3 + 3*g**2 - 4*g - 4. What is the remainder when 17 is divided by s(w)?
1
Let l be (-159)/106*(-33 + 1*-1). Suppose -l = -15*b + 12*b. What is the remainder when 81 is divided by b?
13
Let u(l) = -2*l**2 - 15*l + 15. Let k = -6 + 10. Suppose -2*y = -10, -204 = -k*x - 3*y - 29. Calculate the remainder when x is divided by u(-8).
5
What is the remainder when 978*(-9)/(-189) + 3/7 is divided by 16?
15
Suppose o = 23 - 18. Suppose 8 + 21 = 2*c - o*k, 2*c - 28 = 4*k. What is the remainder when (-4)/6 + 512/c is divided by 22?
20
Let o(d) = -19*d - 25*d - 7*d**2 + d**3 + 34*d - 21 + 3. What is the remainder when o(9) is divided by 11?
10
Suppose 6*f - 66 = -0*f. Let o = 59 + -39. Calculate the remainder when o is divided by f.
9
Suppose -16*z + 16 = -14*z. Calculate the remainder when 19 is divided by z.
3
Suppose 8987 + 3597 = 121*a. Let j(p) = -2*p**3 - 4*p - 3. What is the remainder when a is divided by j(-2)?
20
What is the remainder when ((-340)/(-14))/(5/70) is divided by 38?
36
Let k = 95 + 13. Calculate the remainder when k is divided by 22.
20
Let x(c) = 2*c**2 - 18*c + 29. Calculate the remainder when x(11) is divided by 12.
1
Let d = 408 - 356. What is the remainder when d is divided by 35?
17
Let o(u) = -2 + 8 + 11*u**2 + 9*u - 5 + 2. What is the remainder when 144 is divided by o(-2)?
28
Let l(j) = j**3 - 2*j**2 + 1. What is the remainder when 4 is divided by l(2)?
0
Let p = -4 - -16. Suppose 0 = 9*s + 11 - 38. Suppose -2*f + 5*f = -k + 63, -5*k = -s*f - 351. Calculate the remainder when k is divided by p.
9
Calculate the remainder when (-9240)/40*(-20)/12 is divided by 15.
10
Suppose 2*l = -5*n + 50, 2*n - 4*l = -0*n - 4. Let c(b) = 8*b - 14. What is the remainder when c(n) is divided by 18?
14
Let l = 16 + -11. Let h = 10 + l. What is the remainder when h is divided by 8?
7
Suppose 0 = 57*m - 1437 - 2040. Calculate the remainder when 303 is divided by m.
59
Let b(h) = -h - 7. Let g = -21 - -5. Let m be b(g). Suppose -107 = -4*n + m. Calculate the remainder when n is divided by 11.
7
Let l = -77 - -69. Let g(c) = c**3 + 9*c**2 + 4*c - 15. Calculate the remainder when 77 is divided by g(l).
9
Suppose 4*a = -2*g + 56, -2*g + 3*a = -0*g - 63. Suppose -5*r - 3*v + 900 = 0, -44*v = -40*v - 20. What is the remainder when r is divided by g?
27
Let z(l) be the first derivative of l**4/4 + 10*l**3/3 - 13*l**2/2 - 10*l + 11. Let a = -34 - -67. Calculate the remainder when a is divided by z(-11).
9
Let t = -274 - -343. Let x(i) = i**3 + 13*i**2 + 15. Calculate the remainder when t is divided by x(-13).
9
Let p = -15 - -12. Let z be (2 + p)*1 - 10. Let r = z + 49. Calculate the remainder when r is divided by 10.
8
Let k be -5 + (-4)/(-8)*24. Suppose k*o - 3*o = 232. Calculate the remainder when 113 is divided by o.
55
Suppose 2*q = 3*x + 103, -2*x + 122 = -4*q + 7*q. Calculate the remaind