ed by f.
4
Suppose -2*p - 5*z + 7 = 0, -5*p - 15 = -5*z - 120. Let y(x) = -59*x + 3. Let f be y(2). Let u = -68 - f. What is the remainder when u is divided by p?
15
Calculate the remainder when 297 is divided by 0 + (7/42 - 449/(-6)).
72
Let u = 38 + -24. Calculate the remainder when 54 is divided by u.
12
Suppose -141 - 1 = -2*v. Let t = 14 + 10. What is the remainder when v is divided by t?
23
Let w(n) = -n**2 - 2*n + 1. Let m be w(-2). Let u(p) = -1 + 140*p + 1 - 119*p. Calculate the remainder when u(m) is divided by 11.
10
Suppose -3*z - 2*z = -15. Suppose -h + 6 = -z*h. What is the remainder when 22 is divided by 5*(-1 - h) + -2?
6
Let j(d) = -10*d - 6. Suppose 5*p = -2*x + 8*p + 49, 2*x + p - 45 = 0. Calculate the remainder when j(-5) is divided by x.
21
Suppose 0 = -2*y - 5*r + 29, -y - 4*r = -17 - 2. Suppose -2*s + 11 = a, -a + 5 + 2 = 3*s. Calculate the remainder when a is divided by y.
5
Let h(c) = -2*c**3 - 4*c**2 + c - 1. What is the remainder when 55 is divided by h(-3)?
13
Let f(x) = 122*x**2 - 2. Let c(w) = -183*w**2 + 3. Let t(s) = -5*c(s) - 7*f(s). Calculate the remainder when t(1) is divided by 21.
18
Suppose 2*p + 0*p - 74 = 0. Let w = 118 - 65. Let u = -34 + w. Calculate the remainder when p is divided by u.
18
Let r be ((-15)/10)/(2/(-4)). Suppose -2*k - r*k + 10 = 0. Suppose 2*g = 5*j + 49, -k*g - 4*j + 6 = -16. Calculate the remainder when 33 is divided by g.
16
Let v(t) = t**3 + t + 3. What is the remainder when 8 is divided by v(0)?
2
Let f = -1 - -3. Let v(o) = o**3 - 3*o + 2. What is the remainder when 11 is divided by v(f)?
3
Let n(c) = 35*c**2 + c. Let x be n(1). Let l = 72 - x. Suppose 589 = 34*r - 3*r. What is the remainder when l is divided by r?
17
Let g = 8 + -15. Let r be (-8)/(-28) + (-131)/g. Let n = -11 + r. What is the remainder when 15 is divided by n?
7
Let q = 2 - 2. Suppose q = -2*j - j + 48. What is the remainder when j is divided by (-3)/(-1) + -2 + 8?
7
Suppose 4*j - 3*t - 14 = 0, 4*j - 18 = t + 4*t. Suppose 4 = j*l, 4*i - l + 0*l - 26 = 0. What is the remainder when 13 is divided by i?
6
Let l(h) = -h**2 - 4*h + 5. Let i be l(-5). Suppose i = -3*g + 42 + 39. Calculate the remainder when 107 is divided by g.
26
Let m(q) = -q**3 - 10*q**2 - 10*q + 3. What is the remainder when 45 is divided by m(-9)?
9
Let u(y) = 3*y**2 - 3*y. Let k be u(2). Let o(z) = 0*z**2 - z**2 - 1 - k*z + 2*z. Calculate the remainder when 4 is divided by o(-3).
0
Suppose -3*b + 5*b = 30. What is the remainder when 30 is divided by (10/b)/(2/33)?
8
Suppose j = l - 42, -2*l + 2*j + 41 = -l. Let q = -26 + l. Calculate the remainder when 32 is divided by q.
15
Let g = 26 - -18. Let a(q) = 9*q. Let d(o) = o - 1. Let v(w) = -a(w) + 5*d(w). Calculate the remainder when g is divided by v(-5).
14
Calculate the remainder when 68 is divided by (-4)/((-44)/10 - -4).
8
Suppose 2*p - 9 = 17. Calculate the remainder when p is divided by 5.
3
Let m = 6 + -1. Suppose 2*z - 2*v = 10, -1 - 18 = -m*z - v. Suppose -z*l + 38 = -38. Calculate the remainder when l is divided by 7.
5
Let u = -79 + 122. What is the remainder when u is divided by 23?
20
What is the remainder when (4 - 1) + -3 + 86 is divided by 22?
20
Let d = 47 - 20. What is the remainder when d is divided by 14?
13
Let u = -57 - -72. Calculate the remainder when u is divided by 4.
3
Suppose x - 8 = -4*b, 3*x - 4*b + 1 - 9 = 0. What is the remainder when 44 is divided by (-11 - -8)/((-1)/x)?
8
Let o(t) = t**2 + 15*t + 21. What is the remainder when 17 is divided by o(-14)?
3
Suppose 2*m = -4*o - 2, -2*o + 6 = -3*m + 3. Suppose 4 = 2*y - o*y. Suppose -j + 5*f = -18, 3*j - f - 38 = y*j. Calculate the remainder when j is divided by 15.
13
Let i = -2 - -7. Suppose i*b + 4*z = 42, 2*b - 31 = -4*z - 7. What is the remainder when 16 is divided by b?
4
Suppose p = 4*w + 23, 2*p - 35 - 56 = -w. Let k be (-6)/15 + 1812/30. Let j = k - p. Calculate the remainder when 50 is divided by j.
16
Let n = -95 + 98. Let j(k) = k**3 + k**2 + k + 11. What is the remainder when j(0) is divided by n?
2
Suppose 0 = x - l + 14, x + l = -9 - 5. What is the remainder when ((-60)/x)/(8/56) is divided by 11?
8
Suppose s + 1 = -4. Calculate the remainder when 13/(-2 + s/(-2)) is divided by 14.
12
Calculate the remainder when 117 is divided by 94/10 - 3/(-5).
7
Let b be 3/3 + (-1)/1. Suppose -3 = -l - b*l. Suppose -3*c - 3 = -4*s + 4, -1 = -4*s + 5*c. What is the remainder when s is divided by l?
1
Suppose 3*q - 7 = -2*r, r + 3*q = q + 1. What is the remainder when 63 is divided by r?
8
Calculate the remainder when 31 is divided by (18/(-10))/(2/(-10)).
4
What is the remainder when 30/(-10) - 9*-2 is divided by 4?
3
Let q(m) = m**3 + m**2 - 3*m - 4. Let t be q(-3). Let z(v) = v**2 + 2*v - 3. Let f be z(-6). Let x = t + f. What is the remainder when 15 is divided by x?
7
Let k(p) = p**3 - 9*p**2 + 11*p + 11. What is the remainder when 67 is divided by k(8)?
32
Suppose s = -2*g, 0 = -3*s - 2*g - g. Suppose 2*a - 7*a + 25 = s. Suppose 4*p + a*k = 68 - 4, -2*k = 3*p - 41. What is the remainder when 32 is divided by p?
10
Let a be 1*-2*5/(-2). Suppose 20 = -0*c + a*c. Calculate the remainder when 14 is divided by c.
2
Calculate the remainder when (11 - 5)*62/4 is divided by 24.
21
Suppose -3*u = -8*u + 30. Calculate the remainder when ((-34)/10)/(2/(-10)) is divided by u.
5
Let q(t) = t**2 + t + 3. What is the remainder when 5*((-2)/(-7) + 78/70) is divided by q(0)?
1
Suppose -8*p + p = -364. What is the remainder when p is divided by 27?
25
Let c = 2 - 5. What is the remainder when 34 is divided by 36/14*(-21)/c?
16
Let s(f) be the second derivative of -f**5/20 - f**4/12 + f**3/6 + 22*f**2 + 3*f. Calculate the remainder when s(0) is divided by (-1 + 5)*4 - 1.
14
Let p(l) = -l**2 - 10*l + 12. Let j be p(-10). Suppose 0 = -3*n - y + 57, y - j - 27 = -2*n. Calculate the remainder when 33 is divided by n.
15
Let o(q) = q**3 - 21*q**2 + 2*q - 16. Calculate the remainder when 102 is divided by o(21).
24
Let k be 2 - 1 - 7*7. Let n be k/2*3/(-1). Suppose -d = -n + 17. What is the remainder when d is divided by 19?
17
Suppose 2*a + 5*x - 11 = 15, -4*x + 24 = 2*a. Let r(h) = -2*h**3 - 3*h**2 + 4*h. What is the remainder when r(-3) is divided by a?
7
Let m(i) = -3*i - 3. Calculate the remainder when 142 is divided by m(-13).
34
Suppose -3*w + 4*w - 7 = 0. Suppose 150 = 16*o - 42. Calculate the remainder when o is divided by w.
5
Suppose 2*j - 4*j + 80 = 0. Let m = -13 - -27. Calculate the remainder when j is divided by m.
12
Suppose -8*j - 56 = -224. Calculate the remainder when 81 is divided by j.
18
Suppose -5*m - 8 = -m + 4*d, 0 = 5*d + 10. Suppose 0 = -4*s - m*s + x + 89, -s + 19 = 3*x. Let p(t) = 13*t + 3. What is the remainder when p(3) is divided by s?
20
What is the remainder when 74 is divided by 1/4 - (-792)/32?
24
Suppose -2*w = 5*k - 28, -4*k + w = 3*w - 24. Suppose 0*i - 52 = -k*i. What is the remainder when 37 is divided by i?
11
Let u(g) = 23*g - 3. Let p(k) = 3*k**2 + 3*k - 3. What is the remainder when u(2) is divided by p(-3)?
13
Suppose 0 = -5*f - 14*l + 9*l + 285, f + 4*l - 54 = 0. What is the remainder when 231 is divided by f?
57
Suppose 43 = q + 4*y, -y + 0*y = -1. Calculate the remainder when q is divided by 14.
11
Suppose -7*u = -3*u. Suppose u = -4*m - m + 50. Let p = -1 + 20. Calculate the remainder when p is divided by m.
9
Suppose 6*n = 2*n + 20. What is the remainder when 17 is divided by n?
2
Suppose -5*k = -0*k + 5*y - 65, -y - 53 = -5*k. Suppose -3*j - 6 = 0, 2*w - j = 7*w - 158. What is the remainder when w is divided by k?
10
Let h = 24 - 13. Let v be -1 + 2 + (2 - -7). Let c = 30 - v. Calculate the remainder when c is divided by h.
9
Suppose 0*w - 4*w + 16 = 0. Calculate the remainder when 34 is divided by ((-2)/w)/((-1)/24).
10
Let i(p) = -2*p**2 - p + 1. Let z be i(1). Let k be (-8 - 1) + z*1. Let t = 28 + k. Calculate the remainder when 32 is divided by t.
15
Let q = 86 + -47. Calculate the remainder when q is divided by 7.
4
Let w = 74 + -30. Calculate the remainder when w is divided by 16.
12
Let p be (-18)/(-5) - 6/(-15). Suppose -n - 2*r = -3*n + 44, 3*n + p*r = 73. Calculate the remainder when n is divided by 6.
5
Suppose 6 = -4*u + 7*u. Suppose -u*l - 3*l - 3*j + 90 = 0, -4*j - 55