nder when g(5) is divided by l?
1
Suppose -t - 90 = -4*t + c, -2*t = 2*c - 60. What is the remainder when t is divided by 14?
2
Let g be (28/(1*-4))/(-1). What is the remainder when 4 is divided by (-3 - g/(-2))*4?
0
Suppose 20 - 5 = z. What is the remainder when 43 is divided by z?
13
Let s be 1/4 + (-15)/(-4). Let g = s + -5. Calculate the remainder when 30 is divided by (32/(-6))/(g/3).
14
Suppose -a = 3*a + 2*t - 116, 145 = 5*a + 5*t. What is the remainder when a is divided by 15/2*8/6?
9
Suppose 77 = 3*u - 0*u + 4*t, 0 = 2*u + 3*t - 50. What is the remainder when 92 is divided by u?
30
Let n(h) = -h**3 - 8*h**2 - 10*h - 4. What is the remainder when 49 is divided by n(-7)?
15
Let y(f) = -4*f - 5. Let q(h) = h - 1. Let v(w) = q(w) - y(w). What is the remainder when 35 is divided by v(3)?
16
Suppose -112 = -3*u - u. Calculate the remainder when u is divided by 8.
4
Suppose -21 = -4*v + 3. Suppose 0 = -2*f + v*f - 44. What is the remainder when 43 is divided by f?
10
Suppose 20 = 4*f - i + 4*i, -4*i + 6 = -5*f. Calculate the remainder when (6/4)/((-1)/(-4)) is divided by f.
0
Suppose -2*o = 2*o - 3*u - 356, 4*o + u = 356. Calculate the remainder when o is divided by (-2)/(-10) - (-178)/10.
17
Suppose -11 - 15 = -2*x. Suppose 4*m - 56 - 84 = 0. Let j = m - 10. Calculate the remainder when j is divided by x.
12
What is the remainder when 39 is divided by (0 - (-58)/4) + 1/(-2)?
11
Let z be 0*((-1)/(-2) + -1). Suppose -5*c + 2*w + 77 = z, 3*c - w - 3*w = 49. Suppose q = 2*q - 8. What is the remainder when c is divided by q?
7
Suppose j = -j - 4*u + 18, 4*j - 2*u - 26 = 0. What is the remainder when 32 is divided by j?
4
Let j(v) be the second derivative of v**5/10 + v**2/2 + 6*v. Calculate the remainder when 7 is divided by j(1).
1
Let w(v) = v**3 + 8*v**2 - 10*v + 5. What is the remainder when 53 is divided by w(-9)?
11
Let r = 50 + -43. Calculate the remainder when 33 is divided by r.
5
Suppose 0 = -4*s - 0*s + 8. What is the remainder when 6 is divided by s?
0
Let t(u) = -u**2 + 16*u - 9. Suppose -4*s + 15 = v, 10 = 3*s - 2*v + 4*v. Suppose 12 = 4*q - s. Calculate the remainder when t(15) is divided by q.
2
Let o(r) = -4*r**3 - 4*r**2 - 3. Calculate the remainder when o(-3) is divided by (-1 - 15)*(-3)/2.
21
Let g(d) = d**3 - 6*d**2 + 6*d - 2. Let m be g(5). Suppose 2*x - m*x + 10 = 0. Suppose -2*b = -0*b - 12. Calculate the remainder when x is divided by b.
4
Let m be ((-32)/(-12))/(4/42). Let z = m - 11. What is the remainder when z is divided by 10?
7
Suppose -9*n + 14*n + 145 = 0. Let o = n - -48. What is the remainder when 54 is divided by o?
16
Let g = 0 + 2. Suppose z - g*z = 4*p - 117, 2*p - 61 = -3*z. Calculate the remainder when 84 is divided by p.
26
Let b(p) = -6*p - 1. Let j(s) = -s + 1. Let q(a) = -b(a) - 3*j(a). Let c(f) = 2*f + 12. Let t be c(-5). Calculate the remainder when 31 is divided by q(t).
15
Suppose -6 = -2*m - j, 11 = 3*m - 0*m + 2*j. Suppose -7 = -3*s - 4. Calculate the remainder when s is divided by m.
0
Let l(f) = -f**2 + 10*f + 2. Let d be l(9). Let i = d + -5. Calculate the remainder when i is divided by 4.
2
Suppose 0 = -2*f - 5*r - 12 + 101, 2*f + 4*r - 92 = 0. Calculate the remainder when f is divided by 19.
14
What is the remainder when 7 is divided by (-23)/(-6) - 11/(-66)?
3
Let v be 3/18 + (-47)/(-6). Suppose 5*x - 71 = u, -4*u + v = -2*u. Calculate the remainder when x is divided by 8.
7
Let v be 12/10*(-10)/(-4). Suppose 2*f - 3*g = -1, -v*g + 20 = 2*f + g. What is the remainder when f is divided by 2?
0
Let t(w) = -w**2 - 5*w + 1. Let s be t(-4). Suppose -s*r = -6*r - 10. Calculate the remainder when 4 is divided by 6/(-10)*r/2.
1
Let j(k) = -2*k**3 - k**2 - 3*k - 2. Let h be j(-2). Let g = 6 + h. What is the remainder when g is divided by 6?
4
Let k = 87 + -51. What is the remainder when k is divided by 13?
10
Suppose -5*j + o = -78, -j = j - 3*o - 39. What is the remainder when j is divided by 8?
7
Let c = -102 + 158. What is the remainder when c is divided by 21?
14
Suppose -7*y + 3*y + 24 = -4*g, -4*g - 3 = 3*y. Let v(m) = 3*m**2 - 3*m - 3. What is the remainder when v(y) is divided by 4?
3
Suppose -k - 8 = 3*k, 0 = -4*r + 2*k + 36. What is the remainder when -1*(1 + -22 + -2) is divided by r?
7
Let f(j) = j - 4*j - 3*j - 1. Let u = 14 + 0. What is the remainder when f(-7) is divided by u?
13
Let u(p) = -p**2 + 8*p + 2. Let t be u(6). Suppose r + 0*r = t. What is the remainder when r is divided by 4?
2
Let c = 11 - -35. Let d = -25 + c. Calculate the remainder when d is divided by 11.
10
Suppose 2*m - 18 = 4*o, -m + 19 = -2*m - 5*o. Let d(a) = -a**3 - 3*a**2 - 1. What is the remainder when (m - 1) + 11*4 is divided by d(-4)?
14
Suppose 30*a - 24*a = 24. What is the remainder when 12 is divided by a?
0
Let r = 5 - -13. Suppose -2*u + r = -0. What is the remainder when u is divided by 4?
1
Suppose -2*y + y + 2 = 4*n, 27 = 4*y - 3*n. Suppose 3*t - y = 6. Calculate the remainder when t is divided by 3.
1
Let h(t) = -2*t**3 - 5*t**2 + 2*t. Let n be h(-4). Let j(f) = -8*f + 11. Let x be j(1). Suppose n = x*c + 2*c. What is the remainder when 15 is divided by c?
7
Suppose 3*u = -5*a + 23, -3*u = 4 + 8. Suppose -3*k + 8 = k. Calculate the remainder when a is divided by k.
1
Let k = 11 + 2. Let l = 18 - 13. What is the remainder when k is divided by l?
3
Let k(d) be the third derivative of -d**4/6 - 7*d**3/6 + d**2. Calculate the remainder when 23 is divided by k(-5).
10
Let w(n) = -n**2 - n + 51. Let v be w(0). Suppose 3*z - 15 = v. Suppose q - 4 = 3*q - 4*f, 4*q + 4*f = 52. What is the remainder when z is divided by q?
6
Suppose 4*g = 3*l + 73, -5*l = 2*g - 7 - 10. Calculate the remainder when 46 is divided by g.
14
Let y = 12 - 2. Let m(j) = 7*j**2 - 8*j + 4. Let d(i) = 20*i**2 - 23*i + 12. Let s(b) = 4*d(b) - 11*m(b). Calculate the remainder when s(3) is divided by y.
9
Let d(n) be the first derivative of 5*n**2/2 + 2*n + 3. What is the remainder when d(7) is divided by (13/(-4))/((-2)/8)?
11
Let z(s) = -4*s - 1. Let f be z(-1). Let i be 2/f*(1 + 2). Suppose 3 = -3*o, 6*o - i = -w + 3*o. Calculate the remainder when 14 is divided by w.
4
Let m(v) = -v**2 - 8*v + 5. What is the remainder when m(-6) is divided by ((-70)/(-56))/((-2)/(-16))?
7
Suppose 0 = 2*y - 4, -3*u + 5*u - 26 = 2*y. Calculate the remainder when (2/6)/(14/1848) is divided by u.
14
Let k = 0 + 8. Let i(l) = 2*l**2 - 4*l + 3. Let g be i(3). Let y = 13 + g. Calculate the remainder when y is divided by k.
6
Let o = -4 - -7. Suppose 2*r - 30 = d, 0*d = -o*d - 12. Suppose -7*q + 0*q + 35 = 0. What is the remainder when r is divided by q?
3
Suppose -l + 9 = -5. Calculate the remainder when 50 is divided by l.
8
Let y(k) = 14*k**3 - 32*k**2 + 18*k - 29. Let r(l) = 5*l**3 - 11*l**2 + 6*l - 10. Let b(a) = 17*r(a) - 6*y(a). What is the remainder when b(-6) is divided by 2?
0
Suppose 5 = t, -4*t + 30 = -3*o + 10. Let m be -1*2 - (-4 - o). Let c(j) = 12*j**2 + j + 2. Calculate the remainder when c(m) is divided by 18.
16
Let z = -3 - 3. Let g(w) = -4*w - 5. Calculate the remainder when g(z) is divided by 5.
4
Let k(c) = c**3 - c**2 + 2*c + 4. Let s be k(0). Suppose 0 = -4*n - 3*q + 55 - 4, -n + s*q = -27. What is the remainder when n is divided by 9?
6
What is the remainder when 27 is divided by (-96)/(-7) + (-6)/(-21)?
13
Calculate the remainder when 76 is divided by (0 - 5/10)*-52.
24
Calculate the remainder when 45*(28/(-20) + 2) is divided by 12.
3
Suppose 0 = 5*a - 3*a. Suppose 4*r + 3*s = 267, a*s + 257 = 4*r + s. What is the remainder when r is divided by 22?
19
Let r(i) = -11*i. What is the remainder when 19 is divided by r(-1)?
8
Suppose 68 + 104 = 4*h. Let j = 13 + 9. What is the remainder when h is divided by j?
21
Let n = -4 - -16. What is the remainder when 20 + (-2)/(6/(-9)) is divided by n?
11
Suppose 2*d + 2*d = 56. Suppose 4*k = 2*k + 34. Let r = 42 - k. What is the remainder when r is divided by d?
11
Let j(h) = -h + 1. Let r be j(-1). Suppose -25 = -r*w - 9. Let f(l) = 3*l + 4. Calculate the remainder when f(6) is divided by w.
6
Let r = -5 + 18. Let y(z) = -4*z**3 + 6 + 3*z**3 + 0*z**3 + 5*z. What is the remainder when y(-4) is divided by r?
11
Let a(p) = p**2 - p + 9. Calculate the remainder when a(6) is divided by 7.
4
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