remainder when 54 is divided by h.
16
Let y(t) = -t**2 - 7*t - 4. Suppose 4*z = 8, -p + 7*z + 8 = 3*z. What is the remainder when p is divided by y(-5)?
4
Suppose f - 4 + 0 = 0, 3*c - 3*f = 210. What is the remainder when c is divided by 19?
17
Let y(q) = -q**3 - 2*q - 2. Let x(o) = -o**3 - o**2 - 2*o - 2. Let j(f) = -5*x(f) + 6*y(f). What is the remainder when 38 is divided by j(3)?
8
Calculate the remainder when (-5)/((-175)/2121) - (-2)/5 is divided by 16.
13
Suppose -3*l - 48 = -5*k - 2*l, -l = k - 12. Let t = k - -6. Calculate the remainder when 29 is divided by t.
13
Suppose 0 = 2*c - 7 + 27. Let z = c + 21. What is the remainder when 21 is divided by z?
10
Let g(t) = t + 14. What is the remainder when 126 is divided by g(18)?
30
Let u = 26 - 11. Suppose j + u = 2*j. Suppose 5*b + 5*f = 35, 47 = 5*b - 3*f + 4. Calculate the remainder when j is divided by b.
7
Let h(n) = -3*n**3 - n**2 + 4*n + 3. Suppose w + 10 = -4*w. What is the remainder when 28 is divided by h(w)?
13
Suppose -12*u + 2*u + 110 = 0. Let g = 17 + -10. Calculate the remainder when u is divided by g.
4
Suppose 2*o = t - 6, -3*t + 18 = -0*t + 3*o. Calculate the remainder when 15 is divided by t.
3
Let g = 31 + -29. Calculate the remainder when 3 is divided by g.
1
Let q be 58/10 + 2/10. Let b(x) = -x**3 + 8*x**2 - 7*x + 4. Let u be b(q). Suppose h - u = -h. What is the remainder when h is divided by 9?
8
Suppose 378 = 34*a - 28*a. What is the remainder when a is divided by 13?
11
Let n = 1 - -2. Suppose n*l = 5*w + 52, -4*w = -5*l - 0*w + 65. Calculate the remainder when 25 is divided by l.
7
Let k(c) = -c + 7. Let w be k(6). Let f be w + 25 - (1 + -1). Suppose -5*s + 2*s = 2*n - f, 0 = 2*s + 8. Calculate the remainder when 36 is divided by n.
17
Let u = -7 - -4. Let r be u - -1 - (-9 + 0). Let c = 10 - r. Calculate the remainder when 7 is divided by c.
1
Let d be -4 - -5 - (-3 + 0). Let m(g) = g**3 - 2*g**2 - 4*g. Suppose -3*n + 27 = -0*n. What is the remainder when m(d) is divided by n?
7
Suppose -137 = -2*m + 3*w, -3*w + 391 = 5*m + 80. Suppose -5*o - 3*f = -o - 80, f = 4*o - m. Let v = 19 + 14. What is the remainder when v is divided by o?
16
Let p = 6 + 6. Let l(k) = 4*k**3 + 2*k**2 - 2*k - 1. What is the remainder when l(2) is divided by p?
11
Let y = 45 - 21. Calculate the remainder when 70 is divided by y.
22
Suppose j - 1 = -o, 2*j + 3*o = 10 - 5. What is the remainder when 8 is divided by (-258)/(-54) + j/(-9)?
3
Let n(j) = 2*j + 37. Calculate the remainder when 37 is divided by n(-12).
11
Suppose -2*u - 3*u = 3*b - 165, 3*b + 4*u = 162. Let g(k) be the second derivative of -5*k**3/6 - k**2 + k. Calculate the remainder when b is divided by g(-3).
11
Suppose -10*y - 20 = -11*y. Calculate the remainder when 37 is divided by y.
17
Let k(z) = -2*z**3 + z**2 - z - 1. Let o be k(-1). Let v = o - 0. Let i = v - -1. Calculate the remainder when 7 is divided by i.
3
Suppose -24 = -4*v + 5*i, -i - 16 = -5*i. Suppose g + 2 = v. Calculate the remainder when g is divided by 5.
4
Let z = -24 - -33. Calculate the remainder when 35 is divided by z.
8
Let o = 42 + -21. Let g = o + 87. Let h = g - 76. Calculate the remainder when h is divided by 17.
15
Let s(r) = -7*r - 13. Calculate the remainder when s(-10) is divided by 12.
9
Suppose -3*s + 5 = -1. Suppose -s*n = n - 3. What is the remainder when 3 is divided by n?
0
Suppose 5*k = -3*c + 383, -4*c = 6*k - k - 384. Calculate the remainder when k is divided by 39.
37
Suppose 3*a - s = 5*a - 116, -a + 58 = -5*s. Calculate the remainder when a is divided by 12.
10
Let r(l) be the second derivative of l**4/12 - 5*l**2/2 + l. Let h be r(7). Let f = -27 + h. Calculate the remainder when f is divided by 9.
8
Let u = 209 - 99. What is the remainder when u is divided by 16?
14
Let c(i) = 15*i + 9. Let a(o) = -5*o - 3. Let m(j) = -8*a(j) - 3*c(j). What is the remainder when 25 is divided by m(-2)?
4
Let p(i) = -i**2 + 11*i + 17. Let k be p(12). Let m = 9 - k. Suppose 5*h - 2*q = 85 - 6, -m*q + 29 = h. What is the remainder when h is divided by 6?
5
Let m = -51 - -60. Calculate the remainder when 43 is divided by m.
7
Suppose -2*w = -o - 0*o + 28, 4*o - 4*w = 96. Calculate the remainder when 36 is divided by o.
16
Suppose 12 = -3*o, 4*a - 5*o - 206 = -62. Let s = 163 - 155. What is the remainder when a is divided by s?
7
Let a = 0 + 2. Suppose -2*o - m = -3*m + 14, o - a*m = -12. Let c = o + 16. Calculate the remainder when c is divided by 4.
2
Let p = 378 + -270. Let l = p - 77. Let y = l + -20. What is the remainder when y is divided by 4?
3
Suppose 0 = 4*r - 4, -2*t + 0*t - 5*r = 751. What is the remainder when 8/(-44) + t/(-22) is divided by 9?
8
Suppose -8 = 4*f + 5*n - 0, f = 3*n + 15. Suppose -p - 38 = -f*p. What is the remainder when p is divided by 10?
9
Let y = 15 - 14. What is the remainder when 4 is divided by y?
0
Let o(i) be the third derivative of i**5/60 + i**4/4 + 2*i**3/3 - i**2. Let m be o(-4). Calculate the remainder when (135/4)/(-5)*m is divided by 14.
13
Calculate the remainder when 21 is divided by (-2)/(-13) - 924/(-78).
9
Let q = -14 - -32. Calculate the remainder when q is divided by 12.
6
Let o be 4*(-1 + (-6)/(-4)). Suppose -x + o*j + 18 = 0, x - 5*j = 2*x - 4. Suppose -2*c + 5 = -11. What is the remainder when x is divided by c?
6
Let j(g) = g**2 - g - 1. Let k(o) = 7*o**2 - 10*o - 2. Let c(b) = -6*j(b) + k(b). What is the remainder when c(5) is divided by 5?
4
Suppose -5*g - 5*j = -g - 5, 3*g = -2*j + 2. Suppose u = c - g*u - 6, -5*c - 4*u = -48. Suppose -c = -2*w - 0. What is the remainder when 7 is divided by w?
3
Let n(s) = -s**3 + 4*s**2 - 5*s + 2. Let z(b) = -6*b**3 + 21*b**2 - 26*b + 10. Let i(r) = 11*n(r) - 2*z(r). What is the remainder when 34 is divided by i(2)?
10
Let v be (-6)/7*-1*14. Suppose v = 4*l - 12. Calculate the remainder when 2 is divided by ((-3)/l*2)/(-1).
0
Let b(h) = -1 + 16*h - 5 - 23*h. What is the remainder when b(-4) is divided by (-4)/(2 - 5/2)?
6
Let i = -20 - -4. Let c = i - -30. Let b(l) = 40*l**2 + 2*l - 1. Calculate the remainder when b(1) is divided by c.
13
Suppose -2*r - r = -3. Let j(i) = -1 - 3*i + 2*i + i**2 - r. What is the remainder when j(5) is divided by 10?
8
Let t be (-3)/12 + 1/4. Suppose -8 = -5*g + 2*s + 28, g - 2*s - 4 = t. Calculate the remainder when 23 is divided by g.
7
Let x be (-18)/15*(-5)/2. Suppose x*u - 72 = -0*u. Let g(i) = -13*i. What is the remainder when u is divided by g(-1)?
11
Let p(q) = 2*q**2 - q + 9. What is the remainder when p(4) is divided by 10?
7
Let j be 3/(-6) - 22/(-4). Suppose 13 = j*v - 2. Suppose v*w - 17 = 13. What is the remainder when 28 is divided by w?
8
Let h(u) be the first derivative of 7*u**2/2 + 4*u + 6. Calculate the remainder when h(6) is divided by 12.
10
Let h = -23 + 76. What is the remainder when h is divided by 18?
17
Suppose n = 11*n - 960. What is the remainder when n is divided by 29?
9
Suppose -5*d + 5*o = -200, -2*o = 5*d + 2*o - 191. Let z = d - 22. What is the remainder when z is divided by 0 - 0 - (-6)/1?
5
Let u = 13 - 0. Let d(y) = -y**3 + 10*y**2 - 11*y - 2. What is the remainder when d(8) is divided by u?
12
Suppose -2*t + 82 = -3*m + m, 0 = 3*t + 5*m - 131. Calculate the remainder when t is divided by 15.
12
Let i be (-1*2)/(3/6). Let w be i/1 + 2/(-1). Let z(b) = b**2 + 7*b + 9. What is the remainder when 4 is divided by z(w)?
1
Suppose -u - 2 = -2*u. Suppose -7*v + u*v - 14 = -2*y, -3*v - 6 = 0. Suppose -4 + 36 = y*q. What is the remainder when q is divided by 6?
4
Let h = 217 + -154. Let v(b) = -b**3 - 4*b**2 - 4*b. Calculate the remainder when h is divided by v(-4).
15
Let q(o) = o**2 - 12*o. Let m be q(12). Suppose 5*i - 1 - 74 = m. Suppose -h - 131 = -5*x, 2*h = -2*x + h + 58. Calculate the remainder when x is divided by i.
12
Suppose -k - 36 = -5*f, 2*f - k - 12 = -0*k. Calculate the remainder when 29 is divided by f.
5
Let r(m) = 2*m**2 + 3*m - 13. Calculate the remainder when r(5) is divided by 28.
24
Suppose 33 = -3*g + 3*h - 0*h, h - 2 = 0. Let n = g - -31. Let i = 13 + -5. Calculate the remainder when n is divided by i.
6
Let v = 196 - 190. What is the remainder when 82 is divided by v?
4
Suppose 2*u + 0*f - 61 = -f, -3*f = 3. Suppose 13 = -2*d + 35. Suppose -b = -0*b - d. Calculate 