ppose -18 = -2*x + 126. Calculate the remainder when x is divided by 19.
15
Let p be (-16)/3*(-3)/2. What is the remainder when 15 is divided by p + (1 - 0) - 1?
7
Let p(f) = -f + 14. Calculate the remainder when 15 is divided by p(6).
7
Suppose 11*u - 97 - 156 = 0. What is the remainder when 135 is divided by u?
20
Let x(l) be the second derivative of l**5/20 + l**4/3 + l**3/3 + l**2/2 + 2*l. Let b be x(-3). Calculate the remainder when 26 is divided by (-2 - -5)*(b + -1).
8
Let g be (-1)/2 - 5/(-2). What is the remainder when 23/g - (-7)/14 is divided by 7?
5
Let l(g) = 835*g + 1. Let q be l(-1). Calculate the remainder when (-4)/(-14) + q/(-21) is divided by 21.
19
Let q(m) = m**3 - m**2 - 4*m + 3. Calculate the remainder when (-1)/((8/(-4))/34) is divided by q(3).
8
Suppose -17 = -t - 8. Suppose -h = -0*h. Suppose -3*y + 65 + 37 = h. What is the remainder when y is divided by t?
7
Let q(z) = z + 7*z**2 - 2 - 2*z - z + z. Calculate the remainder when 46 is divided by q(2).
22
What is the remainder when 16 is divided by 140/12 - (-4)/12?
4
Let d(t) = t**2 - 6*t + 9. Let f = -16 - -23. Calculate the remainder when 45 is divided by d(f).
13
Suppose -2*n + 4*n - 46 = 0. Let y(q) = -q**2 + 8*q - 7. Let j be y(7). Suppose 2*z + x - 11 = j, 5*x + 10 = 3*x. What is the remainder when n is divided by z?
7
Let d = -1 + 23. Suppose l = -l + d. Let g(y) = -y + 31. Calculate the remainder when g(0) is divided by l.
9
Suppose 0*c = -2*c - 8. Let h be (c/(-6))/(4/24). Suppose -3*d = -h*i + 2*d, -6 = 2*i - 4*d. What is the remainder when 8 is divided by i?
3
Let g = 11 + -3. What is the remainder when 14 is divided by g?
6
Let f(l) = 33*l + 11. Calculate the remainder when f(2) is divided by 39.
38
Suppose 12*b = 10*b + 70. Calculate the remainder when 103 is divided by b.
33
Suppose 0 = -4*i - 2*x + 12, -4*x = -7*i + 2*i + 2. Suppose 7 = 5*l - 3*u - 6, -2*u + 13 = l. Let o = -3 + l. Calculate the remainder when o is divided by i.
0
Suppose -6*l + 5*l + 5*x - 16 = 0, -5*l + 24 = x. Suppose 0 = l*y - 5 - 15. Let z = -4 + 23. Calculate the remainder when z is divided by y.
4
Suppose 12*l - 32 = 10*l. What is the remainder when 307/5 + 4/(-10) is divided by l?
13
Suppose k = -f + 38 + 39, -89 = -k + 2*f. Calculate the remainder when k is divided by 14.
11
Let s = 121 + 0. Let v = s + -86. Calculate the remainder when v is divided by 12.
11
Let n(v) = v**3 + 7*v**2 + v - 3. Calculate the remainder when 89 is divided by n(-3).
29
Let a(f) = 2*f**2 + 3*f + 3. Let l be (8/12)/((-4)/(-42)). Let v = -10 + l. What is the remainder when 45 is divided by a(v)?
9
Suppose 0 = -2*a - 5*u + 62, -39 = -3*a - 2*u + 76. Calculate the remainder when a is divided by 22.
19
Let h(f) = f**3 + 6*f**2 + 4*f + 9. Let a be h(-6). Let k = -3 - a. Let q = 78 + -56. Calculate the remainder when q is divided by k.
10
Suppose 6*t + 438 = 8*t. Suppose -j - t = -5*w, 5*j - 1 = 4*j. Calculate the remainder when w is divided by 15.
14
Suppose -3*q - 20 = -8*q. Suppose q*h = 0, -17 = -4*g - 2*h + 115. What is the remainder when g is divided by 12?
9
Suppose 5*o - 9 - 16 = 0. Let q(d) = -d**3 + 7*d**2 - 8*d + 4. What is the remainder when q(o) is divided by 5?
4
Let y(r) = -r + 4. Calculate the remainder when y(-9) is divided by 7.
6
Let v(c) = c. What is the remainder when (-1 - 0) + ((-8)/4 - -6) is divided by v(3)?
0
Suppose -6 = n - 3*n. Suppose 2*m + n*f = 2*f + 8, 3*m - 5*f + 1 = 0. Calculate the remainder when 3 is divided by m.
0
Let j(v) = 5*v - 14. Let b be j(4). Let n = -2 - -5. Suppose n*z = z + b, 0 = 4*o - 3*z - 79. What is the remainder when o is divided by 12?
10
Let a be (-370)/(-22) + (-4)/(-22). Suppose -3*w + a = -10. Let j = 29 - 3. Calculate the remainder when j is divided by w.
8
Suppose -k - 21 = 5*i - 79, 4*i = -k + 57. Suppose 7*n = 13*n - 168. Calculate the remainder when k is divided by n.
25
Let h(r) = r**3 + 7*r**2 + 5*r - 2. Let w be h(-6). Suppose 0 = w*b - 2*k - 42, 4 = 2*b + k - 7. Calculate the remainder when 21 is divided by b.
5
Let l = 86 - 57. Suppose -b = 2*i - l, -2*i + 11 = -b + 32. What is the remainder when b is divided by 9?
7
Let d = -31 + 45. What is the remainder when 25 is divided by (-348)/(-28) + 8/d?
12
Suppose 0*l = l - 7. Suppose 0 = -4*g + 9 + l. What is the remainder when 11 is divided by g?
3
Let d = 25 - 14. Let o(l) = -l**2 + 8*l + 6. Let b be o(5). Let f = b - d. What is the remainder when f is divided by 6?
4
Let z = 0 - -5. Suppose 2*o + 8 = -2*o, -z*c + 4*o + 28 = 0. Suppose -64 = -4*n - c*g, -4*n - 3*g + 65 = -0*g. Calculate the remainder when 32 is divided by n.
15
Let y(r) = 4*r**2 - 4*r. Suppose -4*o = 3*m, 5*o = -3*m - 4 + 7. What is the remainder when y(o) is divided by 14?
10
Suppose -5*f + 445 = 4*n, -5*n + 68 = -4*f + 5*f. Calculate the remainder when f is divided by 19.
17
Suppose j + j = -12. Let y(u) = -u - 2. Let z be y(j). Suppose 0 = -5*r + z*d + 2, 2*r + 4 = r + 3*d. Calculate the remainder when r is divided by 1.
0
Let f(d) = -d**2 + 3*d + 3. Let a be f(3). Suppose -n = -a*n + 18. Let p(s) = s**2 + 40*s + 42. What is the remainder when n is divided by p(-39)?
0
Let f(s) = 21*s - 10. What is the remainder when f(3) is divided by 19?
15
Suppose -4*k + 0*k = 5*r - 30, 3*k + 18 = 3*r. Let w = 11 - r. Calculate the remainder when w is divided by 3/((-1)/(-2)*3).
1
Suppose 3*j + 3 = 12. Let y(d) be the third derivative of 5*d**4/24 - d**3/6 + d**2. What is the remainder when y(j) is divided by 5?
4
Calculate the remainder when 35 is divided by 3/(-2) - 105/(-10).
8
Let k(v) = v**3 + v**2 + v - 6. Let r be k(0). Let w = r + 21. What is the remainder when w is divided by 8?
7
Let t(f) = f**3 - 5*f**2 + 6*f. Suppose -2*g = -u - 0*u + 22, -5*u - 5*g = -110. Calculate the remainder when u is divided by t(4).
6
Suppose 0 = -5*l + 3*l + 16. Let z = 78 + -44. Suppose 4*p - z = b - 14, 4*b + 25 = 5*p. Calculate the remainder when l is divided by p.
3
Suppose j - 50 = -17. Calculate the remainder when 98 is divided by j.
32
Let v = -84 - -107. What is the remainder when 68 is divided by v?
22
Suppose -c = 3*i - 75 - 22, -c + 99 = 2*i. Calculate the remainder when c is divided by 26.
25
Let s(c) = 32*c**3 - c**2. Let t be s(1). Let l = 55 - t. Suppose 0 = y - 2*y + 13. Calculate the remainder when l is divided by y.
11
Let i(s) = s**3 + 8*s**2 + 6*s - 1. Let o(g) = g - 2. Let n be o(5). Let x = 1 + n. Calculate the remainder when i(-7) is divided by x.
2
Calculate the remainder when ((-132)/(-16))/(1/4) is divided by 17.
16
Suppose 6*w - w = -5, -3*t = 2*w - 7. Let c = 12 + t. Calculate the remainder when 57 is divided by c.
12
Suppose -v + 8 = -2*v - 5*r, -3*v = 2*r - 41. Suppose 7*o = 3*o + 128. Calculate the remainder when o is divided by v.
15
Suppose 0 = 5*i + 2*f - 19, 2*i + f = -3*i + 17. Suppose -q + 3*c - i = 0, -q + c = 2*q - 15. Calculate the remainder when q is divided by 3.
0
Let v(f) = -f**2 + 5*f + 9. What is the remainder when v(6) is divided by 2?
1
What is the remainder when 4 - -1*(-46)/(-1) is divided by 13?
11
Suppose 8*a = 88 - 24. Suppose -5*l + 167 = 22. What is the remainder when l is divided by a?
5
Let r(u) = -u**3 - 12*u**2 - 14*u - 6. Suppose 41 = 3*b - 1. Calculate the remainder when r(-11) is divided by b.
13
Let g be (5/10)/(1/(-2)). Let m = 5 - g. Suppose -5*o + 56 = 3*s, s = m*s - 4*o - 118. Calculate the remainder when 42 is divided by s.
20
Let i be ((-16)/3)/((-1)/(-3)). Let c = 67 - 36. Let w = c + i. Calculate the remainder when 29 is divided by w.
14
Suppose -5*s = 5*c - 330, -c - 82 = -4*s + 162. Calculate the remainder when s is divided by 21.
20
Suppose 3 - 1 = -d. Calculate the remainder when -106*d/4*1 is divided by 18.
17
Let p(r) = 22*r**2. Let i = 13 + -1. What is the remainder when p(1) is divided by i?
10
Let j(o) = o**3 - 13*o**2 + 14*o - 12. Calculate the remainder when 22 is divided by j(12).
10
Let n be (-35)/4 - (-12)/16. Calculate the remainder when n/(-14) + (-398)/(-14) is divided by 8.
5
Let i = 2 - 4. Let w(c) = -18*c + 2. Calculate the remainder when w(i) is divided by 13.
12
Let a = 1 - 1. Suppose -66 = -4*j - a*j - w, -55 = -3*j + 2*w. Calculate the remainder when j is divided by 10.
7
Suppose n - 5*q - 45 = 0, 5*q + 12 = 2*n - 78. Calculate the remainder when 88 i