the remainder when (-458)/k - (-14)/49 is divided by 1 + 18 - (-2 - -4).
16
Suppose 0 = 5*u - 4*g - 123, 6*u - 4*g - 69 = 3*u. Suppose 2*q + q - 32 = 2*h, 3*q = -3*h + u. Calculate the remainder when 29 is divided by q.
9
Suppose -5*k + 16 = -3*k. Let q = k + -4. What is the remainder when 9 is divided by q?
1
Let v(l) = -l + 19. Calculate the remainder when v(0) is divided by (-4)/(-10) + 33/5.
5
Let w = -39 + 76. What is the remainder when 109 is divided by w?
35
Suppose -3*l + 5*v + 38 = 0, -3*l + 2*v + 10 = 4*v. What is the remainder when (-2 - l*-4) + -3 is divided by 7?
5
Suppose 287 + 115 = 6*m. Calculate the remainder when m is divided by 14.
11
Suppose 7*v - 30 = 47. What is the remainder when 41 + (0 - (-1 + -1)) is divided by v?
10
Let i(h) = h**3 + 6*h**2 + h - 5. Calculate the remainder when 104 is divided by i(-5).
14
Let z(k) = k - 35. Let w be z(0). Let q = 73 + w. Calculate the remainder when q is divided by 13.
12
What is the remainder when 8 + (-155)/20 + 358/8 is divided by (5/10)/(1/46)?
22
Suppose -4*s = -s - 96. Calculate the remainder when s is divided by 11.
10
Let a = -14 - -17. Calculate the remainder when 10 is divided by a.
1
Let m(k) = 15*k**2 + 12*k - 16. Let y(c) = 5*c**2 + 4*c - 5. Let f(t) = -2*m(t) + 7*y(t). What is the remainder when f(-4) is divided by 21?
19
Suppose 5*h - 10*h = -145. Suppose -3*z - 4*x = -74, -3*x = -4*z + 3*z + h. What is the remainder when z is divided by 14?
12
Calculate the remainder when (-141)/(-21)*1 + (-2)/(-7) is divided by 5.
2
Let j(g) = -g**3 - 7*g**2 - 3*g - 9. What is the remainder when 94 is divided by j(-7)?
10
Let p(s) = -s**3 - s**2 - 1. Let f(c) = -c**2 + 15. Let b be f(0). Suppose b = 2*w - 7*w. What is the remainder when 32 is divided by p(w)?
15
Let o(t) = 3*t + 2. Let g be o(-1). What is the remainder when 20 is divided by (g/(-3))/(1/21)?
6
Suppose -4*t + 19 = -21. Let h(g) = -g**3 - 12*g**2 + 10*g - 10. What is the remainder when h(-13) is divided by t?
9
Suppose -3*c = -c - 4. Suppose -24 = -c*t + 4. Calculate the remainder when 26 is divided by t.
12
Let t(d) = 7*d + 3 - d**3 + 0 + 4*d**2 + 2*d**2. Let k be t(7). What is the remainder when 3 is divided by 1 - (5/(-1) + k)?
0
Let d(k) = k**2 + 6*k + 5. Let h be d(-6). Suppose -3*o = 2*o + 5, h*o = 3*w - 62. Calculate the remainder when 2 + 51 + 4/2 is divided by w.
17
Suppose -17 = -2*s - 7, -15 = -5*c + s. Suppose -c*o + 0 = -8. Suppose v = o*v - 15. What is the remainder when 28 is divided by v?
13
Suppose -5*o = 5*c + 5, -6*c = -3*o - 3*c + 3. Let j(g) = 5 - 3*g + 11 + 2*g. What is the remainder when j(o) is divided by 6?
4
Let q(f) = f**2 - f + 1. Let z be q(1). Let w be (z*3)/(9/6). What is the remainder when 34 is divided by 1*16 - w - 2?
10
Let x = -2 + 21. Let d(u) be the second derivative of 2*u**3/3 - u**2/2 + u. Calculate the remainder when x is divided by d(2).
5
Let q = -18 - -27. Suppose 4*f + 5*f - 144 = 0. Calculate the remainder when f is divided by q.
7
Suppose 0 = -2*f + 6*f - z - 885, 5*f - 1095 = -z. Suppose 8*u - f = 3*u. Calculate the remainder when u is divided by 15.
14
Let k = -56 + 111. What is the remainder when 216 is divided by k?
51
Let k = 61 + -47. Calculate the remainder when 22 is divided by k.
8
Suppose 0*w + 34 = 5*g + 4*w, 11 = g + 5*w. Calculate the remainder when ((-212)/6)/((-4)/g) is divided by 14.
11
Suppose x = 5*r - 219 - 211, -x = -r + 86. Suppose -5*g - 21 + r = 0. What is the remainder when g is divided by 2/(-4)*-2 - -4?
3
Let x(u) = 3*u + 7. Let t be x(5). Let w = 38 - t. What is the remainder when w is divided by 9?
7
Let o(n) = -3*n**3 - 3*n**2 + 2. Let v(t) = t**2 + 4*t - 7. Let k be v(-5). Calculate the remainder when 25 is divided by o(k).
11
Let s(i) be the second derivative of 3*i**5/10 + i**4/12 - i**3/6 - 3*i. Suppose 4*l = -l + 85. What is the remainder when l is divided by s(1)?
5
Let m be (-3)/12 + (-26)/(-8). Suppose -2*d - 40 = m*d. Let s = d + 18. Calculate the remainder when s is divided by 6.
4
Let v(f) = -f**2 + 12*f + 6. Let w be (-2)/(-4)*6 - -3. Calculate the remainder when v(w) is divided by 22.
20
Let m(h) = -h**3 - 19*h**2 - 7*h - 24. What is the remainder when m(-19) is divided by 11?
10
Let n(k) = k**2 - 4*k - 6. Let l be n(6). Suppose 0 = -4*h + 4*a + 120, -l = -5*a + 9. What is the remainder when h is divided by 12?
9
Suppose 0 = 3*o - 10*n + 8*n - 16, 4*o - 2*n - 18 = 0. Calculate the remainder when 18 is divided by o.
0
Suppose 3*b = 5*r - 190, -2*r + 50 = -0*r + 4*b. What is the remainder when 104 is divided by r?
34
Let g = 14 + -16. Let p(t) = 24*t**2 + t + 2. Calculate the remainder when p(g) is divided by 25.
21
Suppose -2*z = -4*l + 16, -14 = 5*z - 2*z + 4*l. Let u = z + 9. What is the remainder when u is divided by 2?
1
Suppose 0 = -s + 3, -2*m = 2*s - 32. Calculate the remainder when 37 is divided by m.
11
What is the remainder when 15 is divided by 16*(2/(-4))/(-1)?
7
Let k(d) = 5*d**2 + 3*d - 2. Let x be k(1). Let u = 29 + x. What is the remainder when u is divided by 18?
17
Let j = 34 + -24. Let s(v) = 27*v - 7. Let b be s(6). Suppose 5*y - 3*d - b = 0, -41 = -2*y - 3*d - 0. Calculate the remainder when y is divided by j.
8
Let b(c) = -c**3 - 11*c**2 + 11*c + 18. Calculate the remainder when 89 is divided by b(-12).
29
Suppose -5*q + 196 + 44 = 0. What is the remainder when q is divided by 7?
6
Suppose -2*t - o + 3*o + 116 = 0, -3 = o. What is the remainder when t is divided by 15?
10
Let o = -2 - -4. Suppose -3*n + o = -4*n + 3*t, -t - 26 = -3*n. What is the remainder when 29 is divided by n?
9
Suppose 10 = 2*k + 36. Let z = 18 - k. What is the remainder when z is divided by 11?
9
What is the remainder when 35 is divided by 1*(3 + 6 + 1)?
5
Suppose a - n - 52 - 166 = 0, 0 = 4*a + 4*n - 872. What is the remainder when a is divided by 55?
53
Suppose -h + 3 + 9 = 0. Let d be (2 + -70)*3/(-6). Calculate the remainder when (-3)/h - d/(-8) is divided by 2.
0
Calculate the remainder when 7 is divided by ((-7)/2 + 5)/(9/12).
1
Suppose 0*w + 80 = -5*w. Let j = -7 - w. Suppose 68 = -l + 5*l. What is the remainder when l is divided by j?
8
Suppose 4*s = 9*s - 25. Suppose -c = 3*z + 7, -z = -0*c - 4*c + 37. What is the remainder when c is divided by s?
3
Calculate the remainder when 54 is divided by (84/18)/((-2)/(-6)).
12
Suppose 5*y = -3*n + n + 35, -10 = 2*y - 4*n. Let w = 25 - y. Suppose -4*p + 4 = 0, p + 0*p + 43 = 4*d. What is the remainder when w is divided by d?
9
Let i(z) = 6*z**3 + 29*z**2 + 34*z - 34. Let t(d) = -d**3 - 6*d**2 - 7*d + 7. Let q(y) = 2*i(y) + 11*t(y). Calculate the remainder when q(9) is divided by 4.
1
Let h(b) = -6 - 5*b + 3*b + 5 - 15. Calculate the remainder when 21 is divided by h(-12).
5
Suppose 2*o = -0*o + 3*t + 49, -4*t = 4. Calculate the remainder when o is divided by 13.
10
Let b(r) = -2*r + 24. Calculate the remainder when (2/(-3))/(-2)*15 is divided by b(11).
1
Suppose 2*h = -2*u + 14, u - 5*u + 4 = -4*h. Suppose -363 + 127 = -u*l. What is the remainder when l is divided by 31?
28
Let u = 75 - 25. Suppose -2*c = -2*m + 8 - 22, 5*c - u = 2*m. What is the remainder when 21 is divided by c?
9
Suppose -3626 = -19*r + 573. What is the remainder when r is divided by 32?
29
Suppose -74 = -5*n + 6. Suppose 12*z + 108 - 180 = 0. What is the remainder when n is divided by z?
4
Suppose d = 2*h - 54, -81 = -3*h + 2*d - 3*d. Calculate the remainder when 80 is divided by h.
26
Let g(b) = 14*b + 1. Let z be 2/(-6) - (-12)/9. Calculate the remainder when g(z) is divided by 4.
3
Let t(v) = -v**3 - 5*v**2 - 5*v - 2. Let k be t(-4). What is the remainder when 17 is divided by 2/k*(-3 + 12)?
8
Suppose -l - 8 = 2*a, 0 = l + 4*l - 4*a - 16. Suppose l = -6*z + 4*z + 16. Calculate the remainder when z is divided by 2.
0
Suppose 0*l = -4*k + 3*l - 60, 28 = -2*k + l. Let i = k - -31. What is the remainder when i is divided by 11?
8
Let n = -5 + 33. Let x(h) = -h + 0 + 5 - 1 - h. Calculate the remainder when n is divided by x(-3).
8
Let v be (-6)/9 + 2/3. Suppose -3*b + 2*m = 2*b - 17, 14 = 3*b - 5*m. Suppose 33 = -v*w + b*w. What is the remainder when 32 is divided by w?
10
Let r = -89 + 151. Let y = -30 + r. What is the remainder when y is divided by 17?
15
Suppose 2*t = -4*r + 40 + 24, 0 = -4*t + 3*r + 106. Calcula