 remainder when h(-2) is divided by u.
8
Let i = 6 + -1. Suppose p - 181 = -i*h, p + p = -h + 38. What is the remainder when h is divided by 13?
10
Let i = -6 + 9. Suppose -i*d - d + 80 = 0. What is the remainder when 57 is divided by d?
17
Suppose 0 = 4*t + 8 + 4. Let n(g) = -4*g**2 - 2*g + 4. Let y be n(t). What is the remainder when 25 is divided by y/(-2) + (3 - 3)?
12
Suppose 10 = y - 10. Suppose 0*a - y = -2*a + 5*w, -2*a + 3*w = -16. What is the remainder when 8 is divided by a?
3
Let j = -17 - -38. Calculate the remainder when 81 is divided by j.
18
Let u be (3 + 1)/((-6)/(-9)). Let q(f) = f**2 - 4*f - 7. Calculate the remainder when q(u) is divided by 2.
1
Suppose 0 = -a - 4*a + 10, 111 = 5*s + 3*a. Let b = 3 + s. Let n = b + -7. What is the remainder when n is divided by 6?
5
Suppose -2*k = 3 - 35. What is the remainder when 44 is divided by k?
12
Let o = 56 - 25. Let k(t) = -t**3 + 6*t**2 + 8*t - 5. What is the remainder when k(5) is divided by o?
29
Suppose -4*j + 2*m = 4*m - 44, j + 2*m - 11 = 0. What is the remainder when 39 is divided by j?
6
Let h(q) = -q**3 + 12*q**2 + q - 5. Calculate the remainder when h(12) is divided by 5.
2
Let c(l) = 2*l**2 - l. What is the remainder when 16 is divided by c(-2)?
6
Let a = -10 + 20. Suppose -5*x - a = -0*x. What is the remainder when 1*(-16)/x + -3 is divided by 3?
2
Let k be (1 + -2)/(1/(-2)). Suppose -56 = -4*h + 96. Calculate the remainder when h is divided by ((-3)/(-6))/(k/52).
12
Let a(l) be the second derivative of 1/6*l**3 + l + 1/2*l**2 + 0 + 1/12*l**4 - 1/5*l**5. Calculate the remainder when a(-1) is divided by 2.
1
Let o(c) = c**3 + 5*c**2 - 4*c - 2. Calculate the remainder when (-1238)/(-14) - 9/21 is divided by o(-4).
28
Calculate the remainder when 6/(-33) + 2811/33 is divided by 22.
19
Suppose 2*l - 24 = 2*h, -h + 60 = 5*l - 0*l. What is the remainder when 46 is divided by l?
10
Let j = 19 - 4. Suppose -v + 2*v - j = 0. Let t = 46 - 18. Calculate the remainder when t is divided by v.
13
Suppose -5*a - 84 = -12*a. What is the remainder when a is divided by 5?
2
Calculate the remainder when (-9)/12 + 2001/12 is divided by 42.
40
Let f = 32 - 23. Suppose 0*i = i - 75. Suppose -w = 3*x - i, 3*w + w - 50 = -2*x. What is the remainder when x is divided by f?
7
Let b(p) be the second derivative of p**4/12 + p**3 - p**2/2 + 6*p. What is the remainder when b(-9) is divided by 9?
8
Suppose 0 = -2*w + v + 46, 4*w = 6*v - v + 92. What is the remainder when 41 is divided by w?
18
Let g = 136 - 97. Let l(o) = -19*o**3 + 2*o**2 - 1. Suppose -5*t = 5 - 0. What is the remainder when g is divided by l(t)?
19
Let k(x) = 4*x + 1. Let y be k(1). Suppose -8 = -y*w + 22. What is the remainder when w is divided by 3?
0
Let t(k) be the first derivative of k**4/4 - 5*k**3/3 - 5*k**2/2 - 4*k + 1. Calculate the remainder when 5 is divided by t(6).
1
What is the remainder when 14 is divided by 21/28*(-8)/(-2)?
2
Suppose 3*d = 5*i + 103, -2*d = -3*i - 27 - 43. Calculate the remainder when d is divided by 6.
5
Let m be (-6)/27 - 58/(-18). Suppose -a = -2 - m. What is the remainder when a is divided by 2?
1
Let p(q) = -q**3 - 2*q**2 + q + 1. Suppose 4*y + 0*y + 11 = 3*j, -j + 5*y = -22. Let l be p(j). Calculate the remainder when (8 - l)*(1 - -46) is divided by 16.
15
What is the remainder when 25 is divided by 345/39 + (-4)/(-26)?
7
Let j = -53 - -82. Calculate the remainder when j is divided by 6.
5
Suppose -4*i = -2*w - 6, 32 = -w + 2*w + 5*i. Let m(j) = j - 8. Let u be m(w). Calculate the remainder when 10 is divided by (18/(-15))/(u/5).
4
Let q(y) = 34*y**2 - 1. Let f be q(-1). Let n = -21 + f. What is the remainder when n is divided by 7?
5
Let k(a) = -a**3 + 9*a**2. Let h be k(9). Suppose -3*y = -h*y - 87. What is the remainder when y is divided by 20/3*(-3)/(-2)?
9
Let o(p) = -p**2 + p + 1. Let m(r) = -r**2 + 9. Let q be (-1)/(3*(-2)/(-24)). Let a(x) = q*o(x) + m(x). What is the remainder when a(4) is divided by 13?
11
Let l = 6 + -2. Suppose -3*o = -2*o - 2*y - 3, 0 = -5*o + l*y + 33. What is the remainder when 16 is divided by o?
7
Suppose 2*t - 25 = 3*n, -23 = -2*t + t + 5*n. Suppose 0 = y - 27 + 4. What is the remainder when y is divided by t?
7
Suppose 43 = 5*h - 67. Suppose a - 4 - h = 0. What is the remainder when a is divided by -2*(-1)/4*18?
8
Suppose 3*i - 53 + 14 = -4*p, -4*p - 2*i = -38. Let s be 0 - (-660)/((-4)/(-2)). What is the remainder when s/21 - 2/(-7) is divided by p?
7
Let n = 13 + -9. Suppose 3*v - 3*j + 0*j = 0, 3*v = -j + 8. Calculate the remainder when n is divided by v.
0
Let f(y) = y**2 - 13*y + 17. Calculate the remainder when 19 is divided by f(12).
4
Let q = 16 - 11. Suppose 3*v = 4*f + q, 16 = 5*v - 0*f + f. What is the remainder when v is divided by (-1)/(-8) - 623/(-712)?
0
Let p be (-33)/(-39) - 2/(-13). Let t be (-22 - (0 + -1))*p. Calculate the remainder when 3 is divided by ((-12)/t)/(4/14).
1
Let s(v) = -v**2 + 6*v - 4. Let k be s(4). Let b be 0 - (-20 - (1 - 3)). Suppose k*a - b = 54. What is the remainder when a is divided by 10?
8
Suppose 0 = 5*l - 3*w - 2, 5*w = -5*l + 10 - 0. Let x(j) = 2*j + j**2 + 0*j**2 - j + l. What is the remainder when 20 is divided by x(2)?
6
Suppose -3*d + 25 = -5*z, -z - 19 = -3*d + z. Suppose -3*g + 4*g - 4 = 0. Calculate the remainder when d is divided by g.
1
Suppose 8*j = 4*j + 56. Calculate the remainder when j is divided by 6.
2
Let z = 85 + -79. Calculate the remainder when 11 is divided by z.
5
Suppose -a + 9 = -0*a. What is the remainder when 26 is divided by a?
8
Let w(l) be the third derivative of l**4/24 - 16*l**2. Suppose j + 23 = 4*g, -3*g - 20 = -7*g + 4*j. Calculate the remainder when 11 is divided by w(g).
5
Suppose -2*u + 3*y + 40 + 144 = 0, -y = 4*u - 382. Calculate the remainder when u is divided by 24.
23
Let y(i) = 90*i**2 - i + 1. Suppose 3*t = -n + 7, -5 = -3*t + 1. Let m be y(n). Let a = -58 + m. What is the remainder when a is divided by 11?
10
Let i be 3/2 - 4/(-8). Suppose 5*s - i*s = 126. What is the remainder when s is divided by 15?
12
Let k(p) = p**3 + 4*p**2 - 8*p - 7. Let v be k(-5). Calculate the remainder when 78 is divided by 4*(46/v - -1).
24
Suppose -92 = -0*h - 4*h. Let j = 61 - h. Calculate the remainder when j is divided by 13.
12
Let z(r) = 43*r - 98. What is the remainder when z(4) is divided by 1 + -1*2 - -39?
36
Suppose -6*o + 19 = -5*o. Suppose 5*z - 9 = 11. Suppose -56 = 3*u - z*u. What is the remainder when u is divided by o?
18
Suppose -2*a + 117 = -5*k, -5*a - 5*k + 275 = -0*a. What is the remainder when a is divided by 12?
8
Let f be ((-1)/1 + -1)*1. Let o be (-5)/((f - 0)/2). Suppose -g + o*g - 196 = 0. What is the remainder when g is divided by 17?
15
Suppose 15*v = 145 + 710. Calculate the remainder when 282 is divided by v.
54
Let s = -32 + 58. Suppose 0 = 4*n - 6*n. Suppose n = 2*i + 3*i - 45. Calculate the remainder when s is divided by i.
8
Calculate the remainder when (-35 - -1)*((-16)/4)/8 is divided by 9.
8
Let f = 72 + -51. Calculate the remainder when 83 is divided by f.
20
Let u(t) = -t**3 - 14*t**2 - t - 11. Let c be u(-14). Suppose 2*j + 10 = 2*w, c*w + j = -j. What is the remainder when w is divided by 1?
0
Suppose -j + 1 = -10. What is the remainder when 4 + -2 - 1 - -17 is divided by j?
7
Let n be 1/3 - 23/(-3). Let f(b) = -b**3 + 7*b**2 + 11*b + 3. Let w(a) = 13*a**2 + 2*a - 1. Calculate the remainder when f(n) is divided by w(1).
13
Let x = 5 - 2. Suppose 0*p - 54 = -x*p. What is the remainder when p is divided by 7?
4
Suppose -9 = -s + 2. Let t(x) = -7*x + 3. Suppose 0 = 2*c + 8 - 0. Calculate the remainder when t(c) is divided by s.
9
Let q(v) = v**2 - 5*v + 3. What is the remainder when q(9) is divided by 10?
9
Suppose -3*b + 41 = b + 5*q, -b = -5*q + 21. Let v = b - 1. Calculate the remainder when 9 is divided by v.
0
Suppose 5*f = -5*b + f + 62, 2*b + 2*f = 26. What is the remainder when 18 is divided by b?
8
Let i(j) = -j. Let q be i(-1). Suppose 50 = 5*k + 5*z, q = 2*z - 7. Let b(a) = a**3 - 6*a**2 + 4*a - 3. What is the remainder when b(k) is divided by 11?
10
Suppose -m = -3*q, 2*m - 6*m = 12. Let u = 8 - q. Calculate the remainder when 14 is divided by u.
5
Let m(v) be the third derivative of -3*v**4/8 + v**3/3 - v**2. What is the remainder wh