 - 7. What is the remainder when r is divided by f?
4
Suppose -4*q = -23 - 5. Suppose -3*s - 1 = -q. What is the remainder when 7 is divided by s?
1
Let w(o) = 19*o + 7. Let g(p) = 9*p + 3. Let s(a) = -5*g(a) + 2*w(a). Calculate the remainder when 39 is divided by s(-3).
19
Let b(s) = -s**3 + 15*s**2 - 16*s + 13. Let m be b(14). Let u(l) = -l. Calculate the remainder when u(m) is divided by 8.
7
Let t = 75 - 53. Calculate the remainder when 16 is divided by (-1)/(-2)*(-4 + t).
7
What is the remainder when 8 is divided by 6/8 + 9/4?
2
Let h(a) = -4*a. Let p(z) = 13*z**2 + z. What is the remainder when p(1) is divided by h(-2)?
6
Let p be -1*(-26)/((-6)/(-3)). Suppose p + 158 = 3*b. Suppose b + 7 = 4*i. Calculate the remainder when 62 is divided by i.
14
Suppose 0 = -w - w + 6. Calculate the remainder when 5 is divided by w.
2
Let m(n) = -n**2 + 3*n + 8. What is the remainder when 10 is divided by m(4)?
2
Let r = 147 + -116. Calculate the remainder when (184/6)/(1/3) is divided by r.
30
Let r be 4*(-2 + (-54)/(-8)). Let h = -17 + 11. Let q = r + h. What is the remainder when 25 is divided by q?
12
Let c(o) be the second derivative of o**4/12 + 3*o**3/2 - 9*o**2/2 + 3*o. What is the remainder when 2/(-4) + (-5)/(-2) is divided by c(-10)?
0
Let c(f) = -f**3 + 6*f**2 - f - 1. Suppose 3*g + 3 = q, 33 = -4*q + g + 2*g. Let z = q + 17. Calculate the remainder when 36 is divided by c(z).
17
Suppose -5*c + 317 = 3*x, 2*c = -4*x + 3*x + 126. Calculate the remainder when c is divided by 32.
29
Let b = 36 + -29. Calculate the remainder when b is divided by 6.
1
Let p(c) = -c**3 + 7*c**2 - 7*c + 12. What is the remainder when -5*(-2 + 0/1) is divided by p(6)?
4
Let s(r) = r**3 + 6*r**2 - 3*r - 5. Let l(x) = 8*x + 2. Let a be l(-1). What is the remainder when 36 is divided by s(a)?
10
Suppose -y = -0*y + 1. What is the remainder when 6 is divided by -1 + (-3 - 1)*y?
0
Suppose 66 = 3*w - 0*w. Let d = 24 - 13. Suppose 2*v - 27 = -d. Calculate the remainder when w is divided by v.
6
Let p = -12 - -17. Suppose 0 = 2*y + 5*n - 38, y = -p*n + n + 19. Calculate the remainder when 37 is divided by y.
18
Let r be ((-1)/1)/(4/(-8)). Suppose 3 = -k + 2*n, 3*k - 2*n = -2 + 5. Calculate the remainder when 7*(-2 - (-5 + r)) is divided by k.
1
Suppose -k = 4*i - 4, -3*k - 10 = i - 0*k. Suppose -7 = -5*z - 2*d + 133, 0 = -2*z + i*d + 42. What is the remainder when z is divided by 9?
8
Suppose 12 = 2*p + 2*p - v, p + 4*v + 14 = 0. Suppose -p*o + 24 = -32. Calculate the remainder when o is divided by 15.
13
Suppose -3*r + 19 = 4*n - 44, -2*n = -3*r - 9. Let h(t) = 3*t - 13. Calculate the remainder when 67 is divided by h(n).
21
Suppose 5 = -4*r + 49. Let a = -15 + 8. Let g = 49 + a. Calculate the remainder when g is divided by r.
9
Let j be (12/(-8))/(6/(-76)). Let m = j - 31. Let l = m - -21. What is the remainder when 26 is divided by l?
8
Let x = -8 + 12. Suppose -5*n - 8*k + x*k + 18 = 0, -5*n + 2*k + 36 = 0. Suppose n*v = v + 10. Calculate the remainder when v is divided by 2.
0
Let q = -187 - 45. Calculate the remainder when 2*-1*q/16 is divided by 8.
5
Let p be 19/7 + 26/91. Suppose 0 = -s - p*h - 0*h + 48, -4*s + 170 = h. What is the remainder when s is divided by 15?
12
What is the remainder when 70 is divided by (-91)/(-5) + (-5)/25?
16
Let r = 86 + -75. What is the remainder when 36 is divided by r?
3
Let z(q) = q**2 + 6*q. What is the remainder when 12 is divided by z(-7)?
5
Let o = 4 + -3. Let i(q) = 19*q + 14. Let m(t) = 6*t + 5. Let x(a) = 4*i(a) - 11*m(a). Calculate the remainder when 32 is divided by x(o).
10
Let b = 5 - -1. What is the remainder when 16 is divided by b?
4
Suppose -2*r + 5*i = -r - 7, 0 = 3*r - 5*i - 11. Suppose 3*z + r*p - 3*p - 47 = 0, z + 1 = -3*p. What is the remainder when 40 is divided by z?
12
Let u(d) = -d**2 + 5*d + 3. Calculate the remainder when 26 is divided by u(4).
5
Suppose -7*l = -9*l + 8. Suppose y - 3*x = 18, -18 - 7 = -5*y + 2*x. Suppose -3 = y*k - 4*k. What is the remainder when l is divided by k?
1
Let y(q) = -q**2 + 3*q - 6. Let f be y(6). Calculate the remainder when (-1 - 0)*(f + 1) is divided by 14.
9
Let l = -4 + 7. Let g = l - 1. Suppose g*d - 70 = -3*d. Calculate the remainder when 41 is divided by d.
13
Let i = 29 - 13. Calculate the remainder when -5 + (37 + 1 - 2) is divided by i.
15
Let c be (45 - 0)/((-3)/(-2)). Suppose 4*f = f + c. Calculate the remainder when 28 is divided by f.
8
Let l(i) = i**3 - 3*i**2 - 9*i + 7. Calculate the remainder when l(6) is divided by 16.
13
Let q(x) = -x**2 + 11*x - 11. Calculate the remainder when 49 is divided by q(7).
15
Let x(v) be the first derivative of -v**4/4 - 2*v**3 - 2*v**2 - 9*v + 1. Let r be x(-6). Let s = r - 11. What is the remainder when 11 is divided by s?
3
Calculate the remainder when 5 is divided by (12/(-21))/(2/(-14)).
1
Let f(c) = -c**2 - 5*c + 8. Let d be f(-6). Let a be ((-12)/(-9))/(d/123). Suppose 0 = 2*w - 0*w - a. What is the remainder when w is divided by 14?
13
Suppose -2*x - 5*i = -24, 3*x - i = x + 24. Suppose 0 = -y + 5*y + 4*t + 20, -25 = -4*y + 5*t. Let l = y + 7. Calculate the remainder when x is divided by l.
5
Suppose -3*p - 15 + 1 = -2*x, -3*p = 6. Suppose -u = x*u - 115. What is the remainder when 44 is divided by u?
21
Suppose -32 = 2*t - 4*t. Let i(k) = -2*k**2 + 2*k + 1. Let w be i(3). Let z = w - -17. What is the remainder when t is divided by z?
4
Suppose -9 + 85 = 4*y. Calculate the remainder when 75 is divided by y.
18
Suppose -4*s + 15 = 3. Let n(w) = 5*w**2 + w - 1. Let h be n(1). Suppose -4*f = -3*i + 27, -h*f + s*f = 2*i - 4. Calculate the remainder when 9 is divided by i.
4
What is the remainder when 36 is divided by 86/4 + 12/(-8)?
16
Let x = 13 + -8. Let m(v) = 9*v**2 + 6*v - v + 1 - 6*v + 3*v. Calculate the remainder when m(-1) is divided by x.
3
Suppose 0 = -5*j + 3*v + 75, -120 = -4*j + 5*v - 47. What is the remainder when j is divided by 8?
4
Suppose 0*r - 3*r = 0. Suppose j - 5*h - 9 = r, 0 = -2*j - 3*j - 4*h + 16. Let q = j - -2. Calculate the remainder when 11 is divided by q.
5
Calculate the remainder when -2 - -6 - (-115)/5 is divided by 7.
6
Let f be (4/10)/(14/70). Let i(g) = -g**2 + 7*g + 4. Let w be i(7). Suppose f*u = 3*q + 19, w*u = 4*q - 2*q + 18. What is the remainder when 4 is divided by u?
0
Let l = 4 + 4. Let q = -3 + l. Calculate the remainder when 14 is divided by q.
4
Suppose -q - 4*q = -40. Let w(g) = 3*g**2 - 3*g - 9. Let f(s) = -s**2 + 1. Let h(i) = 2*f(i) + w(i). What is the remainder when h(7) is divided by q?
5
Let t(w) = -w**3 + 8*w**2 - 10*w + 13. Let l(v) = v + 7. What is the remainder when t(6) is divided by l(7)?
11
Let c(g) be the third derivative of -g**6/120 + 13*g**3/3 - g**2. Let h(j) = 14*j**2. Calculate the remainder when c(0) is divided by h(-1).
12
Suppose 46 = 5*a - 34. What is the remainder when 124 is divided by a?
12
Let p = -40 - -51. Calculate the remainder when 20 is divided by p.
9
Suppose 2*h = -0*h + 26. Calculate the remainder when h is divided by 4.
1
Let h = 16 + -10. What is the remainder when 27 is divided by h?
3
Let m(g) = g**3 + 9*g**2 + 18*g + 9. Calculate the remainder when (-94)/(-6) + (-2)/(-6) is divided by m(-6).
7
What is the remainder when 39 is divided by (-4)/1 + 3 + 21?
19
Suppose -58 = 2*b + 3*c, b - 2*b - 2*c = 31. Let s = b - -36. Calculate the remainder when 23 is divided by s.
10
Let u = 74 + -64. Calculate the remainder when 46 is divided by u.
6
Let a(g) = -3*g - g - 3 + g - g. What is the remainder when 81 is divided by a(-6)?
18
Suppose -1083 = -13*r - 394. Suppose 0 = -5*c + 3*b + 36, -4*b + 48 = 5*c - c. Calculate the remainder when r is divided by c.
8
Let k(n) = n**2 + 3*n - 5. Let q = 15 + -11. Suppose -19 + 75 = q*j. What is the remainder when j is divided by k(-5)?
4
Suppose 102 = 2*d + 5*c, d = -5*c + 3*c + 50. Calculate the remainder when d is divided by 12.
10
Suppose -2*x = p - 20, -40 = -4*x - 0*p - p. Suppose -3*u - 2*f - 2 = -0*f, 3*u + 4*f = -x. What is the remainder when 4 is divided by u?
0
Suppose -4*k - 89 + 269 = 0. Let j = 37 - 25. What is the remainder when k is divided by j?
9
Suppose 2*o + 4*r = r - 22, -o + 5*r - 11 = 0. Let c(m) = -m + 24. Calculate the remainder when c(o) is divided by 9.
8
Let k be (17 - 16)*(-1 