t is the remainder when 4 is divided by j?
1
Let i = 20 - 21. What is the remainder when (7/(-4))/(3/(-12)) is divided by (3/6)/(i/(-6))?
1
Suppose 2*l = 4*h + 78, 5*l + 5*h - 91 = 119. Suppose n - 6 = -2*n. Suppose 7 = n*a - 21. Calculate the remainder when l is divided by a.
13
Let r(n) = 2*n + 15. What is the remainder when r(6) is divided by 4?
3
Let z(q) = 2*q + 1. Let w(k) = -k**3 + 9*k**2 - 14*k + 25. What is the remainder when w(7) is divided by z(3)?
4
Suppose -5*g = 5, 2*g + g + 33 = 5*o. What is the remainder when 11 is divided by o?
5
Let a(n) = -5*n**2 - n - 4. Let w(u) = u - 4. Let b be w(8). Let v be a(b). Let o = -49 - v. What is the remainder when o is divided by 10?
9
Let s = -79 + 29. Calculate the remainder when (-80)/s - 2/(-5) is divided by 1.
0
Suppose -l = 5*t + 8, -6*t + 4*t - 2 = l. Let a = 72 - 141. Calculate the remainder when l + 0 - a - -3 is divided by 19.
17
Let c be 24/(-132) - 2372/22. Let u = c - -211. What is the remainder when u is divided by 26?
25
Let h = -11 - -25. Calculate the remainder when 2*(3 + h/4) is divided by 8.
5
Suppose 0 = -4*m - m + 525. Suppose 5*j - 350 = -m. Let i = 40 - 23. Calculate the remainder when j is divided by i.
15
Suppose -2 = -s - 0, -s = 4*a - 426. What is the remainder when a is divided by 12?
10
Let i(o) = -o**3 + 4*o**2 + 5*o + 3. Let c = 0 + 5. Let r be i(c). Suppose 2*a = r*a - 24. What is the remainder when a is divided by 13?
11
Let j(a) = 2*a + 7. Let m = -11 - -20. What is the remainder when j(m) is divided by 14?
11
Let z(m) = -m**2 - 9*m. Calculate the remainder when z(-6) is divided by 7.
4
Calculate the remainder when (-4)/(-6)*(-63)/(-6) is divided by 5.
2
Calculate the remainder when 136 is divided by 14*1*(3 + -2).
10
Suppose 0 = 2*m - m - 12. What is the remainder when 59 is divided by m?
11
Suppose 0 = -2*z - 5*k - 22, 2*z + 0*k = k - 34. Let h = 8 - z. Suppose j = -0*j + 9. What is the remainder when h is divided by j?
6
Suppose -4*q + 4*z + 24 = 0, 0 = 5*q + 4*z - 10 - 11. What is the remainder when 12 is divided by q?
2
Let h(u) be the second derivative of -4*u**3/3 - 5*u**2/2 + u. Let t be 1/2 - 22/4. Calculate the remainder when h(t) is divided by 12.
11
Suppose 14*j - 216 = 232. Suppose -2*o - 41 = -3*k, k + 14 = 3*k + 2*o. What is the remainder when j is divided by k?
10
Let k(g) = g**2 - 15*g + 20. Calculate the remainder when 10 is divided by k(14).
4
Let p(y) = -49*y**3 + y**2 + 2*y + 1. Calculate the remainder when p(-1) is divided by (-3)/2*(-68)/6.
15
Calculate the remainder when (-12)/5*(-245)/14 is divided by 11.
9
What is the remainder when 1*668/12*3 is divided by 28?
27
Suppose -20 = 5*m + 5*p, 4*m - 4*p + 3*p - 4 = 0. Suppose m*q - q - 3*s + 13 = 0, -2*q = 3*s - 17. Calculate the remainder when q is divided by 2.
0
Suppose 2*j - 7 = 5*k, 5*j - 1 = 4*j. What is the remainder when 36 is divided by 1*k + (5 - -15)?
17
Let b(w) be the first derivative of 4*w**3/3 - w**2/2 - 1. What is the remainder when b(-3) is divided by 14?
11
Let z be 62/(-6) - (-1)/3. Suppose -2*f = -4*t - 36, -111 = -0*f - 4*f - 5*t. What is the remainder when f is divided by (-39)/(-2)*z/(-15)?
11
Let p(t) = 3*t - 1. Let b be p(3). Let x = -6 + b. Suppose 65 = x*a - 9. Calculate the remainder when a is divided by 13.
11
Suppose 0 = 4*j + 5*w - 145, -103 - 26 = -3*j + 3*w. Calculate the remainder when j is divided by 14.
12
Let m = 126 - 103. Calculate the remainder when m is divided by 17.
6
Let w = 73 - -24. Calculate the remainder when w is divided by 50.
47
Suppose -f = -4*x - 25, 49 + 0 = f + 4*x. Suppose m - q - 27 = -0*m, -77 = -3*m - q. Let j = 39 - m. Calculate the remainder when f is divided by j.
11
Let t(x) = -x + 15. Let i(d) be the second derivative of d**3/3 + d**2 + 2*d. What is the remainder when t(0) is divided by i(3)?
7
Suppose -4*f = -70 - 62. Calculate the remainder when 65 is divided by f.
32
Let h be (3/(-2))/((-6)/8). Suppose -h*n = -3*n + 11. Calculate the remainder when 31 is divided by n.
9
Suppose -5*p - 8 = -2*s, 2*p = 5*p + 5*s - 20. Let j = 3 - p. Suppose -2*q - j*q + 95 = 0. What is the remainder when 55 is divided by q?
17
Let x be 10/(-25) + 4/10. Suppose -g + x*g = -14. Suppose 2*k + g = 4*k. What is the remainder when 13 is divided by k?
6
Let o = -21 + 32. Suppose -61 + o = -5*x. Let d = -2 + 21. Calculate the remainder when d is divided by x.
9
Let m(t) = 25*t**2 - 2. What is the remainder when 61 is divided by m(1)?
15
Calculate the remainder when (-2 + -19)*12/(-7) is divided by 10.
6
Let r = -5 - -7. Suppose -r*v = 3*v. Suppose -p = -v*p - 5. What is the remainder when 8 is divided by p?
3
Let d(a) = a**3 - 5*a**2 - 8*a + 9. Let y be d(6). Let o = -13 + 23. Let b = y + o. What is the remainder when b is divided by 3?
1
Let r(m) = 2*m**2 - 6*m - 4. Let w be r(-4). Suppose -3*c - 4*p + w = -c, -40 = -2*c - p. What is the remainder when c is divided by 7?
4
Let r = -18 + 21. Calculate the remainder when 3 is divided by r.
0
Let y = -1 + 46. Calculate the remainder when y is divided by 23.
22
Let s be 2*(80/2 - -1). Let u = s + -40. Suppose u = p + m, -p - p + 88 = m. Calculate the remainder when p is divided by 16.
14
Let c(r) = -r**2 + 14*r - 24. Calculate the remainder when 90 is divided by c(10).
10
Let t = -55 - -69. Let w be (-4)/(-14) + 5/7. Calculate the remainder when 54/2 - (0 + w) is divided by t.
12
Let f = -65 + 69. What is the remainder when 24 is divided by f?
0
Calculate the remainder when ((-28)/8)/((-4)/56) is divided by 17.
15
Suppose 9*r = 4*r - 120. Let n = r + 62. Calculate the remainder when n is divided by 13.
12
Suppose 3*v - 9 = y, v + 20 = 5*y - v. Let s(c) = -c**3 - 12*c**2 - 11*c - 3. Let l be s(-11). Calculate the remainder when (-1)/l + 235/15 is divided by y.
4
Suppose -3 = -u - 23. What is the remainder when 35 is divided by 91/5 + 4/u?
17
Suppose -2*l + 30 = -l. Calculate the remainder when l is divided by (-3 - (-4)/4)*-4.
6
Let u be (6/4)/((-1)/(-2)). Suppose -s + 60 = u*s. Calculate the remainder when 28 is divided by s.
13
Let q(u) = u**3 - 8*u**2 + 14*u - 8. What is the remainder when 5 is divided by q(6)?
1
Suppose 0 = -2*c - 0 + 206. What is the remainder when c is divided by 26?
25
Let i(u) = u**3 - 5*u**2 - 4*u. Suppose -4*j + 16 = f - 0, 0 = -5*f. Suppose 11 = -j*h + 147. What is the remainder when h is divided by i(6)?
10
Let q(a) = -a**3 - 8*a**2 - 5*a - 5. What is the remainder when 136 is divided by q(-8)?
31
Let n = 3 + 1. Let c be (2 - 3)/((-1)/2). Calculate the remainder when 3 is divided by c + -2 - n/(-2).
1
Let x = -75 + 107. Let h = 27 + 13. Suppose h = 5*n - 45. Calculate the remainder when x is divided by n.
15
Let c be (-2 - 1)*4/(-6). What is the remainder when 69 is divided by ((-120)/(-35))/(c/14)?
21
Let p be (-1)/2 - 15/(-6). What is the remainder when p*-1*(-34)/4 is divided by 1/((-2)/12*-1)?
5
Let y = 69 + 1. Calculate the remainder when y is divided by 36.
34
Let h(m) = -m**3 - m**2 + 2*m + 15. What is the remainder when h(0) is divided by 8?
7
What is the remainder when 38 is divided by 13*((-4)/4 + 2)?
12
Let o(u) = 8*u - 28. Calculate the remainder when o(11) is divided by (24 - 0) + 0 + -3.
18
Let f be -2*-1*(-2 - -3). Suppose p - 13 = -5*c - 5, f*c + 4*p = -4. Suppose -c*z - 3*z = -40. Calculate the remainder when 23 is divided by z.
7
Let y(h) = -4*h**3 - 6*h**2 - 2*h + 4. Calculate the remainder when y(-3) is divided by 11.
9
Suppose -5*i - g = -129, 0 = -2*i - 0*g + 2*g + 54. What is the remainder when 128 is divided by i?
24
Suppose -27 = -2*j - 3. Calculate the remainder when j is divided by (0 + (-5)/(-1))*1.
2
Let v(i) = i - 1. Let x be v(1). Suppose 0 = -l - x + 4. Suppose -l*q - 5 = -49. What is the remainder when 32 is divided by q?
10
Suppose 1 - 3 = -2*r. Let w be (r - 2)/((-4)/12). Suppose s - x - 16 = -6, 3 = w*x. Calculate the remainder when s is divided by 6.
5
Let v(a) be the third derivative of -a**4/3 + a**3/3 - 2*a**2. Let g be 6/21 - 60/14. Calculate the remainder when v(g) is divided by 12.
10
Suppose -3*o + 77 = 5*w, o = -2*w - 2*w + 63. Calculate the remainder when w is divided by 10.
6
Let l = -216 + 309. Suppose -d - l = -5*d - 3*z, -d = 4*z - 33. What is the remainder when 82 is divided by d?
19
Let o(f) = -f**3 - 8*f**2 - 16*f. C