ainder when 19 is divided by p*(6 - i) - -1.
5
Let w(h) = 3*h**3 + 3*h**2 - 4*h. Calculate the remainder when 106 is divided by w(2).
22
Suppose -z = -4*m - 156 - 45, 5*m + 5*z + 220 = 0. Let g = 144 + m. Calculate the remainder when g is divided by 24.
23
Let m = 1 - -4. Suppose -2 + 17 = m*f. Calculate the remainder when (-3)/(22/(-8) - -2) is divided by f.
1
Suppose j - 5*l = 0, -3*j + 2*l = -l - 24. Let t(f) = 7*f - 6. Suppose -2*v + 11 = 1. What is the remainder when t(v) is divided by j?
9
Suppose s - 56 = -2*o, s - 52 = -2*o - s. Let z = -36 + 60. What is the remainder when o is divided by (12 + -2)*z/15?
14
Suppose -t + 3 = -0*t. Let r = t + -1. What is the remainder when 3 is divided by r?
1
Let s(y) = 2*y - 5 - 4*y - 3*y + 3*y. Let w be s(-4). Suppose -j - j = -l + 21, -3*l + 48 = -w*j. Calculate the remainder when 32 is divided by l.
10
Let u be 9/(18/4) - 2. Let n(r) = r + 8. Let w be n(-4). Suppose -w*t = -u*t - 136. What is the remainder when t is divided by 12?
10
Suppose -4*o = -15 + 7. Let m = 1 + 3. Calculate the remainder when o is divided by ((-2)/m)/((-4)/8).
0
Suppose 3*w + 3*p - 5*p - 20 = 0, -11 = -2*w - p. What is the remainder when 28 is divided by w?
4
Let m(s) = -3*s**3 + 2*s**2 + s - 3. Calculate the remainder when m(-2) is divided by 11.
5
Let i = 197 - 104. What is the remainder when i is divided by 24?
21
Let t(v) = v - 1. Let g be t(7). Suppose 2*j - g + 0 = 0. Suppose -3*w = -0*w - 15, 2*f = j*w + 63. Calculate the remainder when f is divided by 10.
9
Let x(d) = -d + 14. What is the remainder when x(7) is divided by 3?
1
What is the remainder when 47 is divided by ((-6)/4 + 2)*48?
23
Let m(a) = -a**3 + 6*a**2 + 7*a + 7. Let h(z) = 3. Let s(g) = g - 7. Let v(w) = -15*h(w) - 6*s(w). What is the remainder when v(-5) is divided by m(7)?
6
Let m(d) = -8*d - 25. Suppose 0 = s - n - 46, -2*n = -4*s + 241 - 65. Calculate the remainder when s is divided by m(-5).
12
Let l(a) = -2*a + 2. Suppose 28 = -4*d + 5*v, -5*v + 31 - 1 = -5*d. Let k be l(d). Suppose -c + k*c - 105 = 0. What is the remainder when 62 is divided by c?
20
Let t be 18/15*15/2. Suppose -q + t = -0*q. What is the remainder when 25 is divided by q?
7
Let v = 9 + -12. Let n(p) = -p**2 - 5*p + 4. What is the remainder when 29 is divided by n(v)?
9
Suppose 4*d + s - 12 = -3*s, 2*d - 2*s - 6 = 0. What is the remainder when 7 is divided by d?
1
Let f be 8 + (-7)/((-21)/(-6)). Suppose f*m - 2*m - 20 = 0. What is the remainder when 10 is divided by m?
0
Let d(x) = -x**3 + 8*x**2 - 8*x + 8. Let b(k) = -k + 2. What is the remainder when b(0) is divided by d(7)?
0
Suppose -114 = -2*h + 4*b, -5*h + 240 = 6*b - b. What is the remainder when h is divided by 9?
6
Let j = -1 - -37. Suppose j = 5*u - 14. What is the remainder when 29 is divided by u?
9
Let p(s) = s**3 - 10*s**2 + 12*s - 3. Let u be p(9). Suppose 7*v = z + 4*v - u, 0 = -3*z - 3*v + 24. What is the remainder when 35 is divided by z?
11
Let t = 7 + -4. Let h = t + 1. Suppose b + 5*r - 10 = h*r, -2*b - 4*r + 26 = 0. What is the remainder when b is divided by 3?
1
Suppose 32 = c - 33. Suppose -k - c = -6*k. Calculate the remainder when (3/(-3))/((-1)/25) is divided by k.
12
Let z(m) = -m**3 - 6*m**2 - 3*m - 7. Let t be z(-6). Suppose 6 = d - t. What is the remainder when d is divided by 9?
8
Let x = 8 - 11. Let d(y) = -y**3 + y + 1. Let v = -29 + 43. Calculate the remainder when d(x) is divided by v.
11
Let n(s) = s**3 - 3*s**2 - 2*s + 2. What is the remainder when n(6) is divided by 17?
13
Suppose -3*m = -2*n - 4*m + 12, n - 5*m - 17 = 0. What is the remainder when 18 is divided by n?
4
Let x(o) = 5*o**2 + o. Let q be x(-1). Suppose 2*s - 4 = 2*f, q*s + 5*f = 2*s + 25. Let k(h) = 2*h - 1. Calculate the remainder when s is divided by k(2).
2
Let i be 1 + 6*1/2. Let c be (i + 2)/(1/(-2)). Calculate the remainder when (69/c)/(1/(-4)) is divided by 8.
7
Let k(v) = -v - 1. Let d be k(-9). Suppose 5*s + 8 = 5*h - 12, 4*s = -d. Let m = h - -15. Calculate the remainder when m is divided by 6.
5
Suppose 0 = -6*f + 120 + 108. Calculate the remainder when f is divided by 13.
12
Suppose -3*a - r + 78 - 9 = 0, r - 46 = -2*a. Let f(m) = m**2 + 26*m + 2. Calculate the remainder when f(-29) is divided by a.
20
Calculate the remainder when -154*(3/(-2) + 1)*1 is divided by 20.
17
Let p = 131 + -89. What is the remainder when p is divided by (-275)/(-22)*8/5 + 2?
20
Suppose 21*h - 569 = -44. Suppose 2*w + 4*l - 13 = 3*w, -2*w + 9 = -l. What is the remainder when h is divided by w?
4
Let c = -47 - -82. Calculate the remainder when 102 is divided by c.
32
Let o = -10 - -9. Calculate the remainder when -7*(3 - 2)/o is divided by 3.
1
Suppose 0*o - 61 = -3*v - 2*o, -4*o - 48 = -4*v. What is the remainder when v is divided by 9?
8
Suppose w = -2*g - 40 + 7, 65 = -4*g - 3*w. Let l = 3 - g. Suppose 0 = -5*x + 311 - 21. Calculate the remainder when x is divided by l.
18
Let y(a) = 3*a**3 - 2*a**2 + 2*a. Let d(w) = 8*w**2 - 1. Let q = 0 - 1. Calculate the remainder when y(2) is divided by d(q).
6
What is the remainder when 25 is divided by ((-16)/12)/((-6)/63)?
11
Let a(j) = -j**3 - 16*j**2 - 19*j - 35. What is the remainder when 121 is divided by a(-15)?
21
Let n(o) = 32*o**2 - 19*o - 18. Let a(g) = -g**3 - g + 18. Calculate the remainder when n(-1) is divided by a(0).
15
Let o be ((-6)/9)/((-5)/375). Suppose o = 3*m - 4. Calculate the remainder when 52 is divided by m.
16
Suppose 4 + 66 = 7*p. What is the remainder when 29 is divided by p?
9
What is the remainder when (4/(-10))/((-2)/110) is divided by (-4 + 2)/(2/(-6))?
4
Let q(x) = -4*x - 15. Suppose -17 = -2*n + d, 3*n + 4*d - 11 = 20. What is the remainder when q(-12) is divided by n?
6
Let m(n) = -2*n - 6. Let o = -8 - -3. What is the remainder when 7 is divided by m(o)?
3
Let k = 47 - -2. Calculate the remainder when k is divided by 17.
15
Suppose 3*u - 2*u + 26 = g, -5*u = -2*g + 64. What is the remainder when 63 is divided by g?
19
Let s(a) = -a**2 - 3*a + 4. Let o be s(-3). Suppose -7*g + 5*g = -o. What is the remainder when 3 is divided by g?
1
Let m = 8 + 2. Calculate the remainder when 19 is divided by m.
9
Suppose 0 = -k + 3*p + 47, -10 = 4*p - 2*p. Let l = 45 - k. Suppose a = -t + 34, 194 = -7*t + 12*t - a. What is the remainder when t is divided by l?
12
Let p(t) = 44*t**2 + t. What is the remainder when p(1) is divided by 12?
9
Let v = -8 + 13. Suppose d + 4*l - 98 = -d, 5*d + v*l = 260. Let y = d + -15. What is the remainder when y is divided by 14?
12
Suppose 0 = -j - 3*h - 55, -j = -0*h - 3*h + 37. Let k(y) = -y - 16. Let z be k(9). Let t = z - j. What is the remainder when 40 is divided by t?
19
Suppose -b - 96 = b. Let y = b + 75. What is the remainder when y is divided by 10?
7
Let p(v) = -v**3 - 5*v**2 + 5*v + 6. Let r(k) = 2*k**3 - 4*k**2 + 2*k + 1. Calculate the remainder when p(-6) is divided by r(2).
2
What is the remainder when 44 is divided by -4*4/(-16) + 22?
21
Let v(w) be the first derivative of -w**5/120 + w**3/3 + 2. Let o(q) be the third derivative of v(q). Calculate the remainder when 1 is divided by o(-1).
0
Let l(y) = y**2 - y + 5. Calculate the remainder when (-12)/16 - (-158)/8 is divided by l(0).
4
Suppose -p + 11 = -0*p - 4*m, -40 = -2*p - m. What is the remainder when 74 is divided by p?
17
Let i(t) = -t**3 + 3*t**2 + 6*t + 6. Let m be i(5). Let j = m - -23. Let c = j - 4. Calculate the remainder when c is divided by 4.
1
Suppose -2*o - 3*o + 35 = 0. Suppose 41 + o = 2*t. Let a = 75 - 28. Calculate the remainder when a is divided by t.
23
Let o(j) = -j**3 - 4*j**2 + 18*j + 15. What is the remainder when 106 is divided by o(-7)?
34
What is the remainder when ((-2)/(-2))/(4/224) is divided by 29?
27
Let u be ((1*-3)/3)/1. Let h(z) = -16*z**3 - 2*z**2 - z. Calculate the remainder when 43 is divided by h(u).
13
Let k(b) = b**2 + 6*b - 11. Suppose -3*a = 2*a + 40. Let l be k(a). Suppose v = l + 9. Calculate the remainder when 40 is divided by v.
12
Suppose 0*g = g + 21. Let r = 40 + g. What is the remainder when r is divided by 10?
9
Suppose 0 = 2*a - y - 25 - 3, -5*a + 55 = 5*y. Calculate the remainder when a is divided by 5.
3
Let a(t) = 9*t - 4. Suppose l - 19 = 3*w + 13, -l - 5*w = 8. What is the remainder when a(4) is divided by l?
15