 What is the remainder when n is divided by z?
9
Let w = 414 - 385. Calculate the remainder when 230 is divided by w.
27
Let j be -2 + ((-10)/(-25))/(1/5). Suppose n + j*c - 88 = -2*c, -3*n = 4*c - 262. What is the remainder when n is divided by 30?
26
Let y(p) = 148*p**3 + 2*p - 1. Calculate the remainder when y(1) is divided by 30.
29
Let c(z) = -z**3 + 28*z**2 + 71*z - 1136. Calculate the remainder when c(29) is divided by 1 - 3/((-3)/20).
19
Let r = 378 + -322. What is the remainder when r is divided by 25?
6
Let u(y) = -y**3 - 3*y**2 + y - 1. Let i(f) be the second derivative of f**3/2 + f**2 + 2*f. What is the remainder when i(9) is divided by u(-4)?
7
Suppose -l - 23 = -g + 19, 2*l + g + 90 = 0. Calculate the remainder when (-2 - l)*(-2 - -3) is divided by 11.
9
Let c be 58*(-12)/(-14) + (-12)/(-42). Suppose -2*q - 95 = -3*x, -3*x + 2*q = -5*x + c. Calculate the remainder when x is divided by 17.
12
Let a be (-42)/(-4) + 1/(-2). Suppose -s + a = -2*s. What is the remainder when 2 + -5 - -4 - s is divided by 6?
5
Let s be 52 + -2 + 3 + -2. Suppose s = -2*b + 5*b. What is the remainder when b is divided by 4?
1
What is the remainder when 161 is divided by (-325)/(-10) + (-2)/(-4)?
29
Let b = 11 + 23. Suppose 3*i + 193 = 2*p - 0*i, -196 = -2*p + 2*i. Calculate the remainder when p is divided by b.
33
Suppose -68 = -9*y + 94. Calculate the remainder when 37 is divided by y.
1
Calculate the remainder when 266 is divided by (-1265)/(-16) + (-47)/752.
29
Let h(f) = f**2 - 37*f + 34. Calculate the remainder when h(37) is divided by 7.
6
Suppose 4*m = -3*v + 275, 2*m - 155 = -6*v + v. Let x = 119 - m. Calculate the remainder when x is divided by 116/6 - (-1)/(-3).
16
Let u(x) = x**2 - 105. What is the remainder when 388 is divided by u(12)?
37
Let d(b) = 35*b - 443. Let i be ((-2)/(-3))/((-4)/(-30)). Suppose 4*r + 80 = 2*g, -2*g - 9 = -i*r - 86. What is the remainder when g is divided by d(13)?
10
Let h(u) = u**3 - 16*u**2 + 19*u + 8. What is the remainder when h(15) is divided by 14?
12
Let t(h) = 6*h - 7. Calculate the remainder when -89*((-12)/4 + 2)/1 is divided by t(5).
20
Let k = -91 + 61. Let n = k - -34. Calculate the remainder when 11 is divided by n.
3
What is the remainder when (-4459)/65*(-3 + -2) is divided by 14?
7
Let g = 33 - 33. Let y = g + 18. What is the remainder when 87 is divided by y?
15
Suppose 0 = 3*g - 12, 46*g - 36 = -4*b + 43*g. Suppose 10 = -2*n, 2*n = -2*z + 4*n + 2. What is the remainder when 1/(z/(-42))*2 is divided by b?
3
Let o = 579 + -561. What is the remainder when 57 is divided by o?
3
Let d = -1734 + 2621. Suppose -239 = 6*t - d. What is the remainder when t is divided by 22?
20
What is the remainder when 18 is divided by (-2)/(((-84)/(-12))/(-35))?
8
Suppose 0 = -2*l - 2 - 8. Let a(b) = b**3 + 7*b**2 + 5*b - 5. Suppose -2*t + 7*t + 202 = 3*n, 4*t + 20 = 0. What is the remainder when n is divided by a(l)?
19
Suppose 4*u - 8 = -0. Let z = u - 6. Calculate the remainder when 27*4/(-16)*z is divided by 10.
7
Suppose -3*y + 184 = 4*d, y + 8*d = 43 + 45. What is the remainder when 501 is divided by y?
53
Let g = -6 - -6. Suppose g = -0*a + 2*a - 4, -a + 12 = 2*o. Let y(q) = -q**3 - 6*q**2 - 2*q - 3. What is the remainder when y(-6) is divided by o?
4
Let j be 3/2*(-16)/6. Suppose -3*k = 2*l - 35, -5*l + 76 = -7*k + 3*k. Let s = l + j. What is the remainder when 21 is divided by s?
9
Let q(s) = -s**3 - s**2 + 3*s + 2. Let o = 7 - 68. Let l = o - -71. Calculate the remainder when q(-4) is divided by l.
8
Let x = -357 + 529. What is the remainder when x is divided by 45?
37
Let q(v) = 5*v**2 - 21*v - 40. What is the remainder when 416 is divided by q(6)?
10
Let b = 741 - 723. What is the remainder when (-1 - 1)*-35 + 0 is divided by b?
16
Let n = -52 + 63. Suppose -14*f + 87 = -n*f. What is the remainder when 115 is divided by f?
28
Let t = -5 - -10. Suppose 3 + 32 = -t*m. Calculate the remainder when 2 - (-15)/(-3) - m is divided by 3.
1
Calculate the remainder when 2/9 - 11056/(-144) is divided by 20.
17
Suppose 0 = 2*p - 339 - 781. Suppose -4*l - 10*l = -p. What is the remainder when l is divided by (-150)/(-14) - 4/(-14)?
7
Let u = -1296 + 1430. What is the remainder when 266 is divided by u?
132
What is the remainder when 299 is divided by (((-240)/25)/(-24))/(2/490)?
5
What is the remainder when (-5)/(-12 + 7)*95 is divided by 52?
43
Let v = 58 - 32. Let s be -1*(3 + -1)*4. Let i = s - -22. What is the remainder when v is divided by i?
12
Let f(v) = -29 + 171 - 127*v - v**2 + 126*v + 3. What is the remainder when f(0) is divided by 37?
34
Let b be 46 + -3 - (-2 - 2/1). Let o = -65 + 45. Let f = b + o. Calculate the remainder when 50 is divided by f.
23
Let f(i) be the second derivative of 5*i**4/12 + i**3/3 - 3*i**2/2 + 15*i. What is the remainder when 59 is divided by f(1)?
3
Let d be ((-10)/8)/((-1)/4). Suppose 0 = -d*s + 2*s + 63. Suppose -9 = 3*o - s. What is the remainder when 14 is divided by o?
2
Suppose -94*l = -63*l - 93. Let f be (-54)/(-4)*8/6. Suppose -5*b - 5*m + 12 = 32, 0 = 3*b - l*m - f. Calculate the remainder when 1 is divided by b.
0
Suppose 0 = -4*i + 8 + 24. Let s = -11 + 25. What is the remainder when (-538)/(-8) + 6/i is divided by s?
12
Suppose 3*i - 5*i = -8. Let j(k) = -k + 8. Let x(s) = -9. Let v(w) = -7*j(w) - 6*x(w). Calculate the remainder when 101 is divided by v(i).
23
Suppose -v - 3*k + 23 = 0, -k + 12 = 17. What is the remainder when v is divided by 10?
8
Suppose 30*a - 4428 = 1812. Calculate the remainder when a is divided by 80.
48
Let i = -473 + 561. What is the remainder when 250 is divided by i?
74
Suppose -52*s = -49*s + 4*c - 121, -c = -3*s + 101. Calculate the remainder when s is divided by 31.
4
Suppose 0 = 5*k + 49 - 64. What is the remainder when 135 is divided by k?
0
Suppose g = -5*b + 4, 0 = b + 23*g - 25*g - 3. Let v(p) = p**2 - 4*p - 8. What is the remainder when v(6) is divided by b?
0
Let i = -402 - -427. Calculate the remainder when i is divided by 3.
1
Suppose -v + 70 = s, 0 = -3*s - 5*v + 4*v + 202. Suppose -s = 3*i - 102. Calculate the remainder when 69 is divided by i.
9
Suppose 4*t - 11 = 13. Let n(j) = j**3 - 6*j**2 + 4*j + 1. Calculate the remainder when n(t) is divided by 14.
11
What is the remainder when 173 is divided by 5/(2 - 10/(200/36))?
23
Suppose j - 21 = -2*p, -3*p + 4*j + 1 = -14. Suppose 141 = 4*y - 5*n, 3*y - 5*n - 107 = -0*y. Calculate the remainder when y is divided by p.
7
Let q = -24 - -38. Let p = -23 + 31. Suppose r - j = 28 + 28, -4*j - p = 0. What is the remainder when r is divided by q?
12
Suppose 349 = -5*n - 3*r, 0 = -0*n + 2*n + 5*r + 151. Let g = 111 + n. What is the remainder when 83 is divided by g?
40
Let o(u) be the second derivative of u**5/4 - u**4/4 + u**3/6 + u**2 - 14*u. What is the remainder when 24 is divided by o(1)?
4
Let n(j) = 5*j - 66. What is the remainder when 13 is divided by n(14)?
1
Let n = 442 - 389. Calculate the remainder when n is divided by 11.
9
Suppose 0 = 4*t - 12 - 8. Suppose 3 = -4*g + o - 41, 0 = t*g - o + 54. What is the remainder when (-4)/g - (-316)/10 is divided by 11?
10
Suppose -192 - 546 = 9*k. Let q = 149 + k. Calculate the remainder when q is divided by 17.
16
What is the remainder when (-249*6/36)/((-1)/2) is divided by 26?
5
Suppose 4*q + 8*s - 35 = 5*s, 5*q - s - 39 = 0. Calculate the remainder when 286 is divided by q.
6
Suppose 6*v = 4*v + 396. Let c(y) = y**3 - y**2 - 8*y - 7. Let o be c(-5). Let x = o + v. What is the remainder when x is divided by 14?
11
Let z(h) = h + 42. Calculate the remainder when z(-8) is divided by 9.
7
Let x = -147 - -152. Suppose -8*j = 5*p - 4*j + 11, 5 = p - j. Suppose 0 = 2*y - p - 35. What is the remainder when y is divided by x?
3
Suppose -2*o = -5*l + o + 69, -3*l + o + 43 = 0. Let z(a) = -11*a + 30. Calculate the remainder when l is divided by z(2).
7
Suppose -2*d + 6 = -3*d. Let m be ((-32)/d)/((-8)/48). Calculate the remainder when (39/(-4))/(8/m) is divided by 14.
11
Let o = -87 - -174. Suppose 4*h - o = -3*i, -3*h + 44 = i + 10. Let x = i - 9. Calculate the remainder when x is divided by 9.
7
Suppose 5*d = h - 6, -4*h = -3*d + d - 78. Calculate the remainder when h is divided by 5.
1
Let z(v) be the second derivative of -v**5/20 - 3*v**