is the remainder when f is divided by 24?
23
Let f be (9 + -5)*6/(-8). Let d(j) = -j + 6. What is the remainder when 24 is divided by d(f)?
6
Let s be 176 + 0/(2 + 1). Let n = -109 + s. Suppose -5*j - 3*v + v = -n, v = 3*j - 38. Calculate the remainder when j is divided by 7.
6
Suppose 5*c = 35 - 0. Let q be (-12)/42 + 16/c. Suppose 0 = q*l - 10 + 2. What is the remainder when l is divided by 3?
1
Suppose -2*a + 33 = 3*u, 0 = 4*a - 2*u + 5*u - 51. Let i be ((-3)/(-6))/((-1)/2). Calculate the remainder when a is divided by 10*(1 + i/2).
4
Suppose b = 3*a + 5 - 12, 2*a - 26 = -2*b. Calculate the remainder when 15 is divided by b.
7
Suppose 0 = -2*b + 5*u + 37, 3*u = -4*b + 35 + 26. Calculate the remainder when (-2)/6 - 94/(-3) is divided by b.
15
Let k = -196 - -209. Calculate the remainder when (-153)/6*-2*1 is divided by k.
12
Let k(g) = 4*g**2 + 21*g + 19. What is the remainder when 141 is divided by k(-6)?
30
Suppose 5*h = 4*i - 6, 2*h - 5*i + 16 = -0*h. Suppose 3*z - 135 = -3*p, -z + 3*p - 43 = -h*z. Let m = z - 17. What is the remainder when m is divided by 15?
14
Let w(z) = -z + 32. What is the remainder when w(9) is divided by 13?
10
Suppose -4*u = -27 - 1. Let c = u + 11. What is the remainder when 70 is divided by c?
16
Suppose -3*z + 156 = -57. What is the remainder when z is divided by 18?
17
Suppose -14 = -v + 4*l - 7*l, -16 = -v - 5*l. Let k = -234 - -252. Calculate the remainder when k is divided by v.
7
Let m(s) be the first derivative of s**4/4 + 4*s**3/3 + 3. Calculate the remainder when m(-2) is divided by 1 + 5 - 0 - 1.
3
Suppose -2*b - 2*s + 10 = 0, 0 = 3*s + 2*s - 10. Suppose -b*v - v = -24. Calculate the remainder when 10 is divided by v.
4
Let z = -1 + 6. Let m = 10 - z. Suppose n + 4*c = 55, -5*n + 154 + 76 = m*c. Calculate the remainder when n is divided by 15.
13
Let v = 90 - 45. What is the remainder when v is divided by 24?
21
Suppose 0 = -5*g + 4*k - 154, 51 + 37 = -2*g - 5*k. Let t = g - -2. Let w = t - -51. Calculate the remainder when w is divided by 10.
9
Suppose -9*a + 7*a + 126 = 0. Calculate the remainder when a is divided by 13.
11
Suppose 0 = x - 5*x + 4, x = 4*q - 59. What is the remainder when 44 is divided by q?
14
Suppose 44 = g + c, 2*g - 4*g = 3*c - 89. Calculate the remainder when g is divided by 16.
11
Suppose 0*a - 4*a = -44. Let o(c) = -2*c**3 - 4*c**2 + 5*c - 2. Calculate the remainder when o(-4) is divided by a.
9
Let v be (-66)/(-54) - (-4)/(-18). Suppose -5*l - 3 = -3*k - 0, -v = -k - l. Calculate the remainder when 1 is divided by k.
0
Let i(v) be the first derivative of -v**3/3 - 9*v**2/2 - 7*v + 2. What is the remainder when 20 is divided by i(-7)?
6
Suppose 10 + 26 = 4*n. Suppose r + n = -0*m + m, -19 = -3*m + r. Suppose -1 = j, -m*u - j = -0 - 19. What is the remainder when 11 is divided by u?
3
Suppose 3*q - 152 - 406 = 0. Calculate the remainder when q is divided by 27.
24
Let k be (20/1)/(5/(-10)). Let l = k - -57. Calculate the remainder when 67 is divided by l.
16
What is the remainder when (-4)/(-8)*2*(2 + 77) is divided by 20?
19
Calculate the remainder when 932/15 - 16/120 is divided by 21.
20
Suppose 2*d = 487 - 463. Calculate the remainder when 106 is divided by d.
10
Let i(k) = k**2 + 25. What is the remainder when i(12) is divided by 43?
40
Let q be 5 + -3 + (-4)/2. Suppose q = -2*u + 6 - 0. What is the remainder when u is divided by 2?
1
Suppose 8*s = 62 + 426. What is the remainder when s is divided by 32?
29
Suppose 521 = 5*i + 2*a - 254, -3*a + 770 = 5*i. What is the remainder when i is divided by 32?
29
Let q(h) = -h**3 - 5*h**2 + 5*h + 9. Let o be q(-6). Calculate the remainder when 624/o + (-4)/(-10) is divided by 11.
9
Suppose 0 = 6*s - s - 55. What is the remainder when (-376)/(-20) - 2/(-10) is divided by s?
8
Suppose -4*k - h = -161, -k + 51 = 2*h + 9. What is the remainder when k is divided by 7?
5
Suppose -3*i + 8*i - 5 = 0. Suppose -3*a + a = -2. What is the remainder when a/1*i - -27 is divided by 15?
13
Suppose -2*k = -2*p + 3*p + 4, 2*p - 2*k - 10 = 0. Suppose q = -2*z - p*z + 9, -3*q = -3*z - 57. What is the remainder when 3*-4*q/(-6) is divided by 12?
10
Let n = 36 - 25. What is the remainder when 31 is divided by n?
9
Suppose n - y - 17 = 0, -2*n + 3*y + 37 = -0*y. Suppose -4*q + 3*q = -8. Calculate the remainder when n is divided by q.
6
Suppose 5*u + 12*u = 510. What is the remainder when (-808)/(-14) - (-6)/21 is divided by u?
28
Let d(r) = -r**3 + 14*r**2 + 2*r - 14. Calculate the remainder when d(14) is divided by 8.
6
Suppose t - j + 1 = -2, -3*j + 11 = -2*t. Suppose -t*h = h - 42. What is the remainder when 40 is divided by h?
12
Calculate the remainder when 94/6 - (15/9 + -3) is divided by 10.
7
Suppose -x - 9 + 21 = -3*s, -2*s = 3*x - 14. Let o be 866/x - 6/(-9). Let f = -86 + o. What is the remainder when f is divided by 15?
14
Suppose -2 = -r + 5. Let j(w) = 5*w - 6 - 2*w - 3*w**3 + 4*w**3 + 8*w**2 - w**2. Calculate the remainder when j(-6) is divided by r.
5
Suppose -19*o + 15 = -14*o. Suppose -4*m = -2 - 10. What is the remainder when m is divided by o?
0
Suppose -1 = 5*a - 4*a. Suppose 159 - 3 = 4*h. What is the remainder when h is divided by ((-15)/a)/(9/12)?
19
Let n(z) = 3*z**3 + 5*z**2 + 5*z + 4. Let i be n(-4). Let q = -52 - i. What is the remainder when q/16 - 1/(-4) is divided by 3?
2
Suppose -6*g + 160 = -g. What is the remainder when g is divided by (-1 - 0/(-3))*-17?
15
Suppose 2*b - 5*b + 111 = 0. Let u(f) = -f - 1. Let y be u(-3). Suppose -6*l + l - y*p = -b, -4*p = -2*l + 34. What is the remainder when l is divided by 5?
4
Suppose -d + 0*d = -5. Let h(r) be the second derivative of -r**5/20 + 5*r**4/12 + r**3/3 - 3*r**2 + 4*r. What is the remainder when 11 is divided by h(d)?
3
Let q(x) = -9*x**3 - 2*x**2 - 2*x - 1. Let z be q(-1). Suppose -3*p + 2*p = -z. What is the remainder when (2 - (2 + -1)) + 22 is divided by p?
7
Suppose 0 = 4*i - 2*b - 20, -4*b + 11 = i - 3. Let u = 7 - 4. Suppose -2*y - 2*l = -44, u*l - 14 - 35 = -2*y. What is the remainder when y is divided by i?
5
Suppose -3*a = -2*x + 56, 2*a = -0*a - 3*x - 20. Let i = a + 20. Calculate the remainder when 2*(-1 + (-13)/(-2)) is divided by i.
3
Let x = 4 + -1. Suppose 0 = 2*p + x*p - 235. Let s(u) = u**2 + 5*u + 2. What is the remainder when p is divided by s(-7)?
15
Suppose -h + 14 = 2*r, -5*r + 3*r - 2 = 0. Calculate the remainder when 109 is divided by h.
13
Suppose 5*u - 67 = 2*r, -2*u + 0*u = 5*r - 50. Calculate the remainder when 57 is divided by u.
12
Let y(a) = -102*a. Let v(h) = h**2 - 4*h - 3. Let r be v(5). Let x be y(r). What is the remainder when 3/((-2)/(x/9)) is divided by 12?
10
Suppose -4*h + h = 0. Suppose 1 = 3*l - 4*y - 2, -4*l + y + 17 = h. What is the remainder when (-2)/(-10) - (-24)/l is divided by 3?
2
Suppose y - 6*y = -80. Suppose -165 - 111 = -6*n. Calculate the remainder when n is divided by y.
14
Let z(p) = 2*p**2 - 2*p. What is the remainder when 6/(2/2) - (4 + -3) is divided by z(2)?
1
Let r(z) be the first derivative of -z**2 + 9*z - 9. What is the remainder when 60 is divided by r(-6)?
18
Suppose w = 19 - 9. Let o(f) = 6*f**3 + f**2 - 2*f + 1. Let a be o(1). Calculate the remainder when a/9*(-87)/(-2) is divided by w.
9
Let p(o) = o - 9. Let n be p(7). Let a = n - -14. What is the remainder when 33 is divided by a?
9
Let n = -127 + 203. Suppose 6*z = 4*z + n. Suppose w + 149 = 4*q, q - z = -5*w + 15. What is the remainder when q is divided by 10?
8
Let p(w) = w**3 + w**2 - w + 2. Let c be p(-2). Suppose -70 = 5*s + 3*v, -4*s - v - 69 + 6 = c. Let m = -9 - s. What is the remainder when 23 is divided by m?
7
Suppose 9*f - 79 = 74. What is the remainder when 44 is divided by f?
10
Let q = 37 + 23. Suppose 5*o - q = -0*o. Calculate the remainder when 45 is divided by o.
9
Let v = 9 + -9. Let y = 40 - v. Let w = -5 + 19. Calculate the remainder when y is divided by w.
12
Suppose -l + 1 = -1. Suppose 0*g = 2*p + l*g - 70, 5*p - 3*g - 159 = 0. Calculate the remainder when p is divided by 9.
6
Let f = 5 + 22. Let x = 28 + -13. Calculate the remainder when f is divided by x.
12
Suppose -529 = -27*r + 4*r. Let i(j) = 69*j**2 - 1. Calculate the remainder when i(-1) is divided by r.
22
Suppose -y + 18 = 3*b, 5*y + 5 = 5*b - b. What is the rem