at is the remainder when t(0) is divided by 7?
4
Let k(a) = -3*a**2 - 6*a - 3. Let r be k(2). Let j = r + 38. Let h(f) = 8*f**3 - f + 1. Calculate the remainder when j is divided by h(1).
3
Let b(g) = g - 2. Let m be b(-1). Let x(l) = -2*l**2 + 4*l. Let f be x(m). Let p = -7 - f. Calculate the remainder when p is divided by 13.
10
Let z(l) = -2*l**2 - 7*l - 5 - 3 + 3*l**2 - l. Let g be z(9). Let m(i) = 29*i - 1. What is the remainder when m(g) is divided by 8?
4
Let p = -27 - -27. Suppose p = -6*d + 8*d - 16. Let r = 45 - 23. Calculate the remainder when r is divided by d.
6
What is the remainder when 111 is divided by 124/(-217) + (-46)/(-7)?
3
Calculate the remainder when 99 is divided by (-5 - -11)*(-5 + 96/9).
31
Let f(q) = -q**3 + 20*q**2 - 19*q + 11. Let g be f(19). Suppose -19*m = -g - 730. What is the remainder when m is divided by 11?
6
Let m be (-1 + 3)/(2/(-13)). Let u = -12 - m. Calculate the remainder when 51/2 - u/(-2) is divided by 14.
12
Let i(w) be the first derivative of -w**4/4 - 2*w**3 + 5*w - 21. What is the remainder when 8 is divided by i(-6)?
3
Let q(i) = 11*i**2 - 5*i - 1. What is the remainder when q(-2) is divided by 39?
14
Let q(g) = -3*g**3 + 21*g**2 + 6*g - 29. Calculate the remainder when 1104 is divided by q(7).
12
Suppose 2*l = 3*j + 36 + 56, -2*j + 192 = 5*l. Calculate the remainder when 199 is divided by l.
39
Let d be (0*(-1)/(-1))/1. Suppose d = -2*g - 29 + 3. Let t(f) = -f**3 - 12*f**2 + 14*f + 17. What is the remainder when 13 is divided by t(g)?
1
Suppose 5*t - 50 - 84 = 3*j, -3*j = -3*t + 78. Suppose -7*k = -11*k + t. What is the remainder when 7 is divided by k + (4 - 2) + -6?
1
Let x be (-4)/(-10) + (-10)/25. Suppose y + x = 5. Suppose -3*b = -2*l - 14, -2*b - 7*l = -4*l + 8. What is the remainder when y is divided by b?
1
Suppose -26*m + 36*m = 400. What is the remainder when m is divided by 12?
4
Calculate the remainder when -1 + (-76)/(-68) + 13222/34 is divided by 65.
64
Suppose 16*k = 15*k + f + 122, -2*f = -5*k + 604. What is the remainder when 345 is divided by k?
105
Let r(z) = -z - 5. Let n(g) = 3*g + 6. Let l be n(-4). Let m be r(l). Let d(p) = 60*p + 1. Calculate the remainder when d(m) is divided by 16.
13
Let p = 1317 - 1253. Calculate the remainder when p is divided by 9.
1
Calculate the remainder when ((-3)/(-2))/((-14)/6720*-4) is divided by 14.
12
What is the remainder when 4/2 + (14 - -246) is divided by 12?
10
What is the remainder when 117 is divided by 14388/572 + (-4)/26?
17
Let d(v) = 5*v - 1. Suppose -5*x = 3*h - 82, 4*h - 3*x - 40 = 21. Calculate the remainder when h is divided by d(1).
3
Suppose -2*t - 40 = -4*b, -b + t - 20 = -4*b. What is the remainder when 11 is divided by b?
3
Suppose -30*r + 31*r - 2*c = 50, 0 = 4*r + c - 200. What is the remainder when r is divided by 46?
4
Let c be 1 + -7 + (-2 - 1). Let y = -7 - c. Calculate the remainder when 33 is divided by (20 - 2)/(y + -1).
15
Let k(b) = b**2 + 3*b + 3. Let v be k(-3). Suppose y = f - 174, -v*y = -4*f - y + 700. Suppose -68 = 2*g - f. Calculate the remainder when g is divided by 28.
26
Let c = -14 + -77. Let o = -26 - c. What is the remainder when o is divided by 34?
31
Let m = -16 - -18. Suppose 0 = -4*p - 3*g - 2*g + 68, -m*p + 34 = 3*g. Calculate the remainder when 33 is divided by p.
16
Let u(b) = 16*b**2. Let t be u(-1). Suppose -4*n + 3*n + t = 0. Suppose n = -5*l + 41. Calculate the remainder when 17 is divided by l.
2
What is the remainder when (10 - (-1 - -10)) + 35 is divided by 35?
1
Suppose 0*a + 5*a - 70 = -2*w, -2*a = -w - 19. Let u be (-22)/(-11) - (-1 + -1). Suppose -u*p - 47 = -5*p. What is the remainder when p is divided by a?
11
Calculate the remainder when 19721/37 - (1 - 2)*3 is divided by 135.
131
Let r(m) = -m**3 - 12*m**2 + 398*m - 51. Calculate the remainder when 282 is divided by r(-27).
6
Let z = 28 - 21. Let c = -26 + 50. Calculate the remainder when c is divided by z.
3
Let s = -64 - -117. What is the remainder when s is divided by 52/3 - ((-20)/12 - -1)?
17
Suppose 23*q = 248 - 41. Suppose -48 = -0*x - 2*x. Calculate the remainder when x is divided by q.
6
Let l be 3*(-2 + 0 + 3). Suppose l*s - 13 = 14. Calculate the remainder when 31 is divided by s.
4
Let y be 8/20 - 408/20. Let m = y + 33. What is the remainder when 21 is divided by m?
8
Let t = 177 + -264. What is the remainder when ((-2)/1)/(t/27 + 3) is divided by 6?
3
Let s be (-90)/48 + 2/(-16). Let c(o) be the third derivative of o**5/6 - o**4/12 + 2*o**2. Calculate the remainder when c(s) is divided by 9.
8
Suppose 3*x + 4*u = 35, 0 = 2*x - 3*u - 0*u - 46. Let r = 33 - x. What is the remainder when 62 is divided by r?
14
Suppose 115 = 5*t + 4*d - 142, 0 = -4*t + 2*d + 190. Suppose -c = -4*c + 51. What is the remainder when t is divided by c?
15
Let c(s) = 2*s - 3. Let y = 204 - 80. Let b = 149 - y. Calculate the remainder when b is divided by c(5).
4
Let t be (-10)/4*(-32)/10. Let w = 11 - t. Suppose -w*i + i - 52 = -4*s, 4*s + 3*i - 62 = 0. Calculate the remainder when s is divided by 3.
2
Suppose -15 = 3*h, 2*j - j = 4*h + 21. Suppose 2*c - 2*k - 73 = -3*c, 4*c + k - 48 = 0. What is the remainder when c is divided by 4 - j - (-4 + 2)?
3
Let t(z) = -z**2 + 21*z - 37. Let b be t(15). Suppose -5*q = -4*n + b + 114, -5*q = -n + 53. What is the remainder when 74 is divided by n?
36
Let c be 18/15 + 20/25 - -2. Suppose 5*m - c*b = 436, -m + b = -2*m + 80. What is the remainder when m is divided by 22?
18
Let b(s) = 4*s + 2*s**2 + 4*s + 3 - s**2. What is the remainder when 33 is divided by b(-9)?
9
Suppose 9*q + 115 = 14*q. Suppose 88 = 3*b - 44. Calculate the remainder when b is divided by q.
21
Let b = 277 - 69. Let o = 256 - 221. Calculate the remainder when b is divided by o.
33
Suppose -2*r - r = -6. Suppose -r = -p + 1. Calculate the remainder when 25 is divided by p.
1
Let x(r) = r**3 + 3*r**2 + 5*r + 5. Let h be x(-5). Let k(n) = 34*n - 61. Let s be k(2). What is the remainder when s/2*(-920)/h is divided by 16?
14
Let o = 5259 - 5226. Let a(n) = -n + 162. Calculate the remainder when a(0) is divided by o.
30
Calculate the remainder when 42 is divided by (-1)/((-2)/6) - (43 - 45).
2
Let z(i) = -i**2 + 33*i - 185. Calculate the remainder when 57 is divided by z(24).
26
Let z = -53 - -73. Suppose -q - 3*q = z, 5*r - 4*q - 60 = 0. Calculate the remainder when r is divided by 6.
2
Suppose -4*l = -4*d - 24, 4*l + 3*d = 2*l + 7. Suppose w - 135 = -3*g, -l*g - 50 = -w - 275. Calculate the remainder when g is divided by 6.
3
Let u = -156 + 138. Calculate the remainder when 47 is divided by ((-13)/2)/(u/(-12) + -2).
8
Suppose m + 3*m - 300 = -2*n, n = -4*m + 150. Let o be (1/((-3)/(-2)))/((-2)/(-33)). Suppose n = o*a - 9*a. Calculate the remainder when a is divided by 19.
18
Let x be -5*((-12)/10 - 0). Suppose 3*w - x - 123 = 0. Suppose 0 = -d - 4*n + 23, 0 = 8*d - 13*d - 2*n + 79. Calculate the remainder when w is divided by d.
13
Let d(v) = 19*v**3 - v**2 + 2*v - 1. Suppose -i + 6 = b - 6*i, 0 = 3*b - i - 4. Suppose -17*p = -13*p - 220. What is the remainder when p is divided by d(b)?
17
Suppose -4*i = -7*i + 81. Let l(v) = 156*v - 462. What is the remainder when i is divided by l(3)?
3
Suppose 24 = g + 3*c, -2*c + 140 = 5*g + 3*c. Let z = 194 + -110. Calculate the remainder when z is divided by g.
24
Let i(n) = n**3 + 7*n**2 + 7*n - 7. What is the remainder when 25 is divided by i(-4)?
12
Let p(j) = j**2 + 2*j. Suppose -28*z = 51*z - 7347. What is the remainder when z is divided by p(-6)?
21
Let i = -57 - -288. What is the remainder when i is divided by 18?
15
Let v(y) = 4*y**3 - y**2 + 2*y + 38. Calculate the remainder when 1595 is divided by v(0).
37
Suppose g + 2*c - 91 = 0, 3*c + 2 = 2*c. Suppose q = -4*q - 25, -g = -2*b + q. What is the remainder when b is divided by 12?
9
Let m(h) = 45*h - 95. What is the remainder when 64 is divided by m(3)?
24
Let u(o) = -3*o**2 + o + 2. Let s be u(0). Suppose -5*l + s*l = 3*h - 66, -2*l - 4*h = -38. What is the remainder when 97 is divided by l?
22
Let z = 26 - 5. What is the remainder when z is divided by (-176)/1320 + (-334)/(-30)?
10
Suppose -7*k + 18 + 731 = 0. Calculate the remainder when k is divided by 102.
5
Suppose -14 = -c - 15. Calculate the remainder when 131 is divid