 1. Suppose -k - u*r = 7, k - 5*k - 2*r = -14. Calculate the remainder when (1/2)/((-4)/(-72)) is divided by k.
4
What is the remainder when (-1842)/(-18) - (-8)/12 is divided by 13?
12
Suppose 2*b + 12 = 4*b. Suppose b = -4*n + 54. Let m(q) = 6*q**2 - 2*q + 1. Calculate the remainder when m(2) is divided by n.
9
Suppose 3*s = 6, -v - 4*s + 3*s + 7 = 0. Let u be 7/4 - v/(-20). Suppose -146 = -4*k - 3*l, 2*k = -u*l + 58 + 16. What is the remainder when k is divided by 12?
11
Calculate the remainder when 44 is divided by ((-20)/3)/((144/27)/(-8)).
4
Suppose -r = q - 17 - 5, 4*q = -r + 22. What is the remainder when 65 is divided by 1 + (r - (1 - 0))?
21
Suppose 2*t - 2*o - 10 = 0, -2*t + 4*o + 0*o = -12. Suppose t*h - 12 = -4. Suppose 9 = y + h*y. Calculate the remainder when y is divided by 3.
0
Let o be (40/15)/((-2)/6). Let u = 20 + o. Calculate the remainder when 34 is divided by u.
10
Suppose 16 = 4*u, -4*k = -2*u + 5*u - 64. Let s be (16/4)/1 - 2. Suppose -45 = -s*q + 29. Calculate the remainder when q is divided by k.
11
Let x be 2/(-7) + (-16)/(-7). Let q = 17 + -14. Calculate the remainder when (-1 - -10) + (-2)/x is divided by q.
2
Let s(r) be the third derivative of -r**4/4 - 3*r**3/2 - 3*r**2. Calculate the remainder when 59 is divided by s(-4).
14
Let y(j) = -2*j**2 - 4*j + 1. Let s be y(-3). Let d = s + 10. Suppose 4*a - 32 = 5*t, 60 = 4*a - 3*t + d*t. Calculate the remainder when 37 is divided by a.
11
Let d(y) = -y**3 - 29*y**2 - 3*y - 14. Calculate the remainder when d(-29) is divided by 19.
16
Let c(i) = i**2 - i + 8. Suppose -5*n - 15 = -0*n. Let w = -3 - n. Calculate the remainder when 14 is divided by c(w).
6
Suppose -4*k - 14 + 138 = 0. Suppose -w - 34 = -3*w. What is the remainder when k is divided by w?
14
Let c = 15 + -12. What is the remainder when c is divided by 3?
0
Let v(k) be the first derivative of k**3/3 + k**2/2 - 4*k + 2. Suppose 4*s = -4*f - 4, -15 = 3*s - 3. Calculate the remainder when v(-4) is divided by f.
2
Let a(m) = 2*m**2 - 3*m - 1. Let c be 4/(-22) - 36/(-198). Suppose -3*n + 23 - 8 = c. What is the remainder when a(3) is divided by n?
3
Let g = 1 - 1. Suppose 4*v - 5 - 47 = g. Calculate the remainder when 51 is divided by v.
12
Suppose 4*i = 58 - 2. What is the remainder when 54 is divided by i?
12
Suppose 2*d - 5*d = -27. Suppose -y = -2*y + 25. What is the remainder when y is divided by d?
7
Let t(o) = -2*o**2 + 4*o - 3. Let y be t(6). Let c be (-6)/(5/((-270)/(-4))). Let z = y - c. Calculate the remainder when z is divided by 16.
14
Suppose 4*l - 118 = q, 4*q = -2*l + q + 52. Calculate the remainder when 57 is divided by l.
28
Let u = 45 - 26. Let i = 5 - 0. Suppose 2*a - 50 = -4*d, -5*d - 2*a - i = -65. What is the remainder when u is divided by d?
9
Suppose 3 = 5*o - 17. Suppose m - 58 = -3*m + 3*u, -2*u + o = 0. Let d(n) = -n**3 - 5*n**2 - 7*n - 4. What is the remainder when d(-5) is divided by m?
15
Suppose 24 = v + 5*q, 0*q + 5 = 5*v + 2*q. What is the remainder when 32 is divided by 1*v - (-6 + -6)?
10
Let d = -38 - -90. Calculate the remainder when d is divided by 18.
16
Let j be 78/4 - (-5)/(-10). Let n = -16 + j. Calculate the remainder when 9 is divided by n.
0
Let b = 30 - 22. Calculate the remainder when 23 is divided by b.
7
Suppose -33 = -s + a - 9, 3*a = -3*s + 60. Calculate the remainder when s is divided by 9.
4
Let r = 210 - 127. Let l(a) = -3*a**2 - 20*a + 9. What is the remainder when r is divided by l(-6)?
20
Let x = -38 + 23. Let g = 24 + x. Calculate the remainder when 25 is divided by g.
7
Let y be -5 + 2 - (-2 - 4). Suppose 12 = -0*q - y*q. What is the remainder when 12 is divided by 4 + -1 + q/(-1)?
5
Let j = -17 - -22. What is the remainder when 18 is divided by j?
3
Let p(d) be the second derivative of d**4/6 + d**3/2 - d**2 + 5*d. What is the remainder when 35 is divided by p(2)?
11
Let o = -49 + 96. What is the remainder when o is divided by 17?
13
Suppose -2*q + 10 = -2*i, -3*i + 7*i - 5*q = -17. Let n = i - -18. Suppose 5*d - 2*d = -h + 7, -3*h + 2*d = -n. Calculate the remainder when 6 is divided by h.
2
Suppose o - 20 = 6*o. Calculate the remainder when 1/(-4) - 217/o is divided by 14.
12
Let r(q) = -4*q + 3. What is the remainder when 56 is divided by r(-4)?
18
Calculate the remainder when ((-30)/8*-1)/((-2)/(-8)) is divided by 5.
0
Let i = -50 + 83. Let k = 3 + -18. Let h = i + k. Calculate the remainder when 53 is divided by h.
17
Suppose -4*m + 68 = -c, 0*m = 4*m + c - 68. Suppose 3*b - 4*b = -2. Suppose 0*l + 62 = b*l. What is the remainder when l is divided by m?
14
Suppose k = -4*k + 155. Let x = k + -21. Suppose 5*y + n + 4*n - 115 = 0, -3*y + 77 = 5*n. Calculate the remainder when y is divided by x.
9
Let w(u) = -u**2 + 5 - u - 3 + 4. What is the remainder when (3 + (-17 - -6))/(1/(-2)) is divided by w(0)?
4
Let a be -1 - ((-3)/1)/3. Let g = -10 + a. What is the remainder when (-1)/1 - (g - -6) is divided by 3?
0
Let w be 2 + -2*(-6)/(-4). Let o = w - -6. Let k = 8 - o. What is the remainder when 4 is divided by k?
1
Let x = 5 + -2. Suppose x*l - 117 = -0*l. Calculate the remainder when l is divided by -1 + (-1)/3 + 192/9.
19
Suppose -4*n = -n + 9, 0 = -3*q - 2*n + 180. Let c(s) = -4*s**3 - 4*s**2 - 3*s - 1. What is the remainder when q is divided by c(-2)?
20
Suppose p = -5*b + 33, 4*p - 5*p + 5*b - 17 = 0. Calculate the remainder when 28 is divided by p.
4
Calculate the remainder when 15/2*(-3 + 1 - -14) is divided by 23.
21
Let z(n) = -5*n - 3. Suppose 63 = -i + 2*i. Calculate the remainder when i is divided by z(-5).
19
Let z(y) = -y**2 - 14*y - 24. What is the remainder when 29 is divided by z(-10)?
13
Suppose -6*h + 523 - 193 = 0. Calculate the remainder when h is divided by 13 + (-4 + 1)/(-3).
13
Let d = 9 + 2. Suppose 20 = 3*q - 37. What is the remainder when q is divided by d?
8
Suppose 0 = 3*l + 2*l - 10. Calculate the remainder when 29 is divided by 3/l*20/3.
9
Suppose 2*f - 3*k + 40 = 0, 58 = -5*f - k - 2*k. Calculate the remainder when 2 is divided by (4 + -1)*f/(-21).
0
Let r = 36 + -22. What is the remainder when 53 is divided by r?
11
Suppose 3*w - 55 = -2*w - 4*a, 3*w - 3*a - 60 = 0. What is the remainder when 1/4 + (-1035)/(-36) is divided by w?
14
Let f be -15*4/(-40)*6. Let z(i) = -i**2 + 12*i + 10. What is the remainder when z(f) is divided by 10?
7
Let r(y) = y**2 - 3*y - 1. Let q(o) = -o**2 + 10*o + 9. Calculate the remainder when q(8) is divided by r(-2).
7
Let r be (1/(-2))/(1/(-6)). Suppose -3*y + 4*q + 38 = -10, 3*q + 9 = 0. Calculate the remainder when r + (-3 - -38) + -3 is divided by y.
11
Let q = -6 + 4. Let w be ((-16)/(-20))/(q/(-3855)). What is the remainder when w/42 - (-4)/14 is divided by 13?
11
Suppose y - 4*x + 0*x - 58 = 0, 205 = 5*y - 3*x. What is the remainder when y is divided by 13?
12
Let i(j) = j**3 - 6*j**2 + 5. Let k be i(6). Suppose 0 = g - 0*g - 4*f - 14, k*g - 32 = f. What is the remainder when 98/6 - 4/(-6) is divided by g?
5
Let o(h) = h**2 - 5*h - 5. Let i be o(6). Let u be i - ((0 - 2) + 2). What is the remainder when u/2 + 98/4 is divided by 9?
7
Let y(g) = -5*g**2 + g + 1. Let l be y(-1). Let j(f) = -f**2 - 6*f - 3. What is the remainder when 8 is divided by j(l)?
0
Let h = 6 - 3. Calculate the remainder when (-2)/(h - 1) - -91 is divided by 23.
21
Let l(m) = -m**2 + 3*m + 5. Let c be l(4). Let p = c - -14. Calculate the remainder when 27 is divided by p.
12
Let c(z) = 2*z**3 - 9*z**2 + 16*z + 1. Let n(v) = -v**2 + 6. Calculate the remainder when c(3) is divided by n(0).
4
Let u(q) be the second derivative of 3*q - 5/6*q**3 - 3*q**2 + 0. What is the remainder when 40 is divided by u(-4)?
12
Calculate the remainder when ((-24)/(-12))/(-2*(-1)/32) is divided by 11.
10
Let z(v) = 59*v**3 - v**2 + v. Let o = -149 - -169. Calculate the remainder when z(1) is divided by o.
19
Let v(x) = -x + 3. Let y be v(2). Let w be (-2 + y)/(4/(-20)). Let i = 9 - w. What is the remainder when i is divided by 2?
0
Suppose 4*i - 2*m = 30, 2*i + m - 18 = -m. What is the remainder when 14 is divided by i?
6
Let d be 4/12 - (-5)/3. Suppose 0 = -d*p + 3*p - 31. Let k = -7 + 23. Calculate the remainder when p is divided by k.
15
Let l(n) = 2*n**2 - n - 3. Let z(i) = -4*i + 5. Let s be z(-7). Suppose 2*b = -d + 3, 2*d - b