c. What is the remainder when h is divided by 3?
1
Let s = 184 - 160. What is the remainder when 66 is divided by s?
18
Let m be (-4 - -2)*4/(-2). Suppose 390 = -2*k - 5*p + 3*p, 0 = -4*p + m. Calculate the remainder when (-4)/(-10) + k/(-10) is divided by 7.
6
Suppose 4*o - 14 = -2. Suppose 1 = -o*q + 7. Calculate the remainder when 5 is divided by q.
1
What is the remainder when 69 is divided by 3/((-18)/(-123)) + (-2)/4?
9
Let m = 11 - 9. Suppose -m*o + 48 = -0*o. Suppose o = 2*g + s, -4*s + 12 = -s. Calculate the remainder when g is divided by 4.
2
Suppose -3*j = j. Suppose 4*r - 16 = 0, y + 3*r - 3 - 17 = j. Let v(z) = -z**3 + 9*z**2 - 4*z - 11. Calculate the remainder when v(y) is divided by 6.
3
Let j(d) = d + 7. Let s = 19 - 6. Calculate the remainder when s is divided by j(0).
6
Let s(b) = -10*b. Suppose -27 = -a + 1. Calculate the remainder when a is divided by s(-1).
8
Suppose 0 = 5*u - 3*b - 310, -3*u - 3*b + 2*b = -200. Let o = 93 - u. Calculate the remainder when o is divided by 10.
8
Let z(w) = 44*w + 11*w + 0 - 2. Let j be z(7). Suppose 4*t - j = -143. What is the remainder when t is divided by 21?
18
What is the remainder when 5 is divided by ((-16)/(3 - 7))/2?
1
Suppose -4*d = -2*d - 8. Suppose d*a - 2*a = 0. What is the remainder when 34 is divided by 40/2 - (2 + a)?
16
Suppose -3*a + 5*z = -535, z - 345 = -2*a + 2*z. What is the remainder when a is divided by 57?
56
Suppose 0 = -v - y + 6, -3*y - 2*y = -15. Let i = v - -1. What is the remainder when 13 is divided by i?
1
Suppose 2*b + o = 3*o - 170, 4*o + 16 = 0. Let n = -49 - b. Calculate the remainder when 117 is divided by n.
37
What is the remainder when (-8)/36 + (-994)/(-18) is divided by 29?
26
Let s = 51 - 40. Calculate the remainder when 31 is divided by s.
9
Let c(x) = x + 5. What is the remainder when 19 is divided by c(2)?
5
Suppose 0 = -2*t - 31 + 125. Suppose 12 = -4*j, -5*f + 95 = j - t. What is the remainder when f is divided by 8?
5
Suppose o + 2 = 0, 13 = 2*u + 2*o - 7. Calculate the remainder when 21 is divided by u.
9
Suppose k = 3*k - 46. What is the remainder when k is divided by 14?
9
Let s(a) = a + 15. Suppose -5*f - 10 = -2*c, 2 - 27 = -3*f - 5*c. What is the remainder when 29 is divided by s(f)?
14
Let m(w) = 2*w**2 - 7*w - 18. What is the remainder when m(9) is divided by 12?
9
Let h = 5 - 7. Let g = h + 0. Let x = g - -7. What is the remainder when x is divided by 2?
1
Let a = -89 - -129. Calculate the remainder when -2 + 1/(2/a) is divided by (3 - 0) + (-6 - -13).
8
Let a = -60 + 87. Suppose 0 = -5*f - a + 127. What is the remainder when 52 is divided by (-2)/(-8) - (-355)/f?
16
Let z = -6 - -8. Suppose -2*a = z*a + 160. Calculate the remainder when 46 is divided by (-36)/5*a/12.
22
Suppose -3*o = 3*d - 3, d + 3 = 5*o - 8. Suppose 2*t + 80 = o*b, 2*t - 1 = 1. Let l = -22 + b. Calculate the remainder when 55 is divided by l.
17
Let o(n) be the third derivative of n**5/60 + n**4/2 - 5*n**3/2 + 3*n**2. What is the remainder when o(-14) is divided by 4?
1
Let t = 55 - 31. Suppose t = -3*r + 78. What is the remainder when r is divided by (-1)/5 + 51/5?
8
Suppose -k + 0*k + 45 = 0. Calculate the remainder when k is divided by ((-23)/2)/((-7)/14).
22
Let d be (2 - 1)/(1/(-6)). Let q be (-2)/(d/3 + 4). What is the remainder when 16 is divided by 3 - -2 - q*1?
4
Let b(v) = v**3 - 16*v**2 + 16*v + 12. Calculate the remainder when b(15) is divided by 10.
7
Let c(f) = f**2 + 2*f + 18. What is the remainder when 29 is divided by c(0)?
11
Let p(v) = v**3 + 5*v**2 + 3*v. What is the remainder when 30 is divided by p(-3)?
3
Let f(t) = t**3 - 4*t**2 - 6*t - 3. Let p(b) = -2*b - 2. Let q be p(-4). Calculate the remainder when f(q) is divided by 12.
9
Let o = 40 + 248. Suppose m - o = -5*b - m, -b - 4*m + 54 = 0. Suppose -a = a - b. What is the remainder when a is divided by 10?
9
Suppose 14 = -2*q + 3*j, 5*j - 4*j = -3*q - 10. What is the remainder when 15 is divided by (q - 0)*6/(-4)?
3
Let q(m) = 17*m**3 + 2*m**2 + 2*m - 2. What is the remainder when 30 is divided by q(1)?
11
Let l = -386 + -826. What is the remainder when (-4)/(-14) + l/(-21) is divided by 15?
13
Let z(t) = 2*t**2 - 2*t - 1. Let v be z(-1). Let u(x) = x**3 + 2*x**2 - 2*x + 2. Let a be u(v). Let o = 88 - a. What is the remainder when o is divided by 12?
11
Suppose 0 = 2*s - 5*s - 6. Let m be (1/3)/(s/(-6)). Suppose -r + 11 = m. What is the remainder when 19 is divided by r?
9
Let s(k) = -k**2 - 7*k - 2. Let v be s(-4). Let g = 31 - v. Calculate the remainder when 81 is divided by g.
18
Let c = -3 - -5. Suppose 2*h = 14 - 2. Suppose 0 = -2*g - c, -s - h*g = -g + 4. Calculate the remainder when s is divided by 1.
0
Suppose 145 = 5*u + 2*s, 2*u + 3*s - 20 = 27. Suppose -12 = -f - f + 2*x, -4*f = -5*x - 22. What is the remainder when u is divided by f?
7
Suppose 3*n - 4*a = -28, a + 4*a = -4*n + 4. What is the remainder when 60/(-18)*6/n is divided by (0 + 1)*(4 + -2)?
1
Suppose 0*o - 3*o = -21. Let c(t) = 3*t - 21. What is the remainder when c(11) is divided by o?
5
Let s(b) be the second derivative of 11*b**3/6 - b**2 - b. Calculate the remainder when s(5) is divided by 42/(-4)*(-16)/12.
11
Suppose 24*i - 2718 = 6*i. Calculate the remainder when i is divided by 14.
11
Let j(t) = -t**2 - 8*t - 7. Let g be j(-5). Suppose -5*p - g = -33. Calculate the remainder when p is divided by 3.
2
Let q(p) = p**3 - 4*p**2 - 5*p + 2. Calculate the remainder when (-3 - 0 - -1) + 4 is divided by q(5).
0
Let q(a) = -a**3 + 4*a**2 + 1. Let b be q(2). Suppose b = 3*x - 0. What is the remainder when x/((-6)/31)*-6 is divided by 24?
21
Let z be 17/2 - 7/14. Let v(r) = 2*r + 3. Calculate the remainder when 93 is divided by v(z).
17
Suppose -42 - 24 = -3*x. What is the remainder when (-5)/((2/26)/(3/(-3))) is divided by x?
21
Let h be (-2)/(-4) + 1/(-2). Suppose h = -m - m. Calculate the remainder when 26 is divided by m - (0 + (-18)/2).
8
Suppose -2*m = -p, -m - 2 + 4 = -p. Calculate the remainder when (0 - m) + -3 - -62 is divided by 31.
30
Let d(l) be the third derivative of l**4/24 + 3*l**2. What is the remainder when 16 is divided by d(6)?
4
Let c be ((-12)/2 - -1)*-1. Suppose -2*v + 4*r = c*r - 37, v = 5*r + 35. What is the remainder when 37 is divided by v?
17
Let d(o) = -3*o**2 + 4*o - 2. Suppose 4*a = a + 6. Let k be d(a). Calculate the remainder when 32 is divided by 2/3 - 62/k.
10
Suppose -2*x = 3*x + 660. What is the remainder when 4/14 + (-897)/(-21) is divided by x/(-8)*(-4)/(-6)?
10
Calculate the remainder when 7 is divided by (-1)/3 - 35/(-15).
1
Calculate the remainder when 21 is divided by 1/(-4) - (-315)/28.
10
Let m(h) = -h**3 - 6*h**2 + 6*h - 3. What is the remainder when 11 is divided by m(-7)?
3
Let m(p) = -p**2 - 6*p - 1. Suppose -2*j - 15 = 3*j. What is the remainder when 23 is divided by m(j)?
7
Suppose -4*r + 0*l + 131 = -5*l, 2*r - 5*l = 53. Let t = r - 4. Calculate the remainder when t is divided by 12.
11
Let q be (2/6)/((-6)/(-126)). Let y = q - 2. What is the remainder when 8 is divided by y?
3
Let r(v) = 2*v**2 - 2*v + 1. What is the remainder when 36 is divided by r(-2)?
10
Suppose -36 = -0*h - 3*h. Suppose -p + 3*p - 42 = 0. Suppose 2*v + p = 5*v. Calculate the remainder when h is divided by v.
5
Let m = -68 + 110. What is the remainder when m is divided by 9?
6
Let f = 3 + 37. Let v = f - 14. Calculate the remainder when 102 is divided by v.
24
What is the remainder when 74 is divided by ((-38)/(-2) - 0)/1?
17
Suppose 156 = -4*r + 8*r. Let y = r - 21. What is the remainder when y is divided by 7?
4
Let s = 4 + -2. Let a be 2/((12/10)/3). Suppose -a*h + m = 0, -m = -h + 2*m - 14. Calculate the remainder when s is divided by h.
0
Let s(j) = 0*j**3 - 3*j**2 - 2*j**3 - 3*j**2 + 9 - 2*j - 4. Calculate the remainder when s(-4) is divided by 12.
9
Suppose -5*b + 333 + 57 = 0. Calculate the remainder when b is divided by 21.
15
Suppose c + 0*c = -3*b - 18, 4 = -b. What is the remainder when 42 is divided by (-43)/(-3) - c/9?
12
Let b(y) = -y**2 - y - 1. Let d be b(0). Let h = d + 3. What is the remainder when 2 is divided by h?
0
Let p(c) = -2*c - 1. Let b be p(-2). Suppose -b*o = -o - 16. Let i = 40 + -26. Calculate the remainder when i is divided by o.
6
Suppose -11 = 2*h - 49. Calcula