ppose -2*n = 3*v + 110, -6*n - 288 = -n + v. Let s = n + 93. Suppose 2*j - 2*z = z + 31, s = 4*j + 3*z. What is the remainder when 21 is divided by j?
10
Let g = -32 - -45. Calculate the remainder when 50 is divided by g.
11
Suppose -1 + 121 = 5*s. Let w = 116 - 21. Calculate the remainder when w is divided by s.
23
Let k be (-1)/4 + (-295)/20. Let f = k + 43. Calculate the remainder when f is divided by 15.
13
Suppose -q = 4*q - 120. Let l = -41 + 50. Calculate the remainder when q is divided by l.
6
Suppose -k + 16 = 3*b, -b + 0 + 5 = 0. Let d(a) = -5*a + 1. Let u be d(-1). Suppose 3*w + 3 - u = 0. What is the remainder when w is divided by k?
0
Let m(z) = z**2 + z - 6. Calculate the remainder when 52 is divided by m(-5).
10
Let y = -5 - -8. Suppose -4*s + y*s + 6 = 0. What is the remainder when 33 is divided by s/(-33) + (-134)/(-11)?
9
Let r be 270/8 + (4 - (-19)/(-4)). Let w = 6 - 2. Suppose -g + w*g = r. What is the remainder when g is divided by 7?
4
Suppose -w + 3*s + 119 = 0, -2*w + w = -2*s - 115. What is the remainder when w is divided by 18?
17
What is the remainder when 179 is divided by ((-4)/2)/(70/(-2135))?
57
Let n be 7 - ((0 - 0) + 4). Suppose n*u + 16 = 4*u. What is the remainder when 61 is divided by u?
13
Suppose t - 80 = 4*w, 2*t = -3*w + 7*t - 77. Let p = 30 + w. Suppose -140 = -5*f - 5*c, -5*f = 2*c - 3*c - 164. What is the remainder when f is divided by p?
10
Suppose -4 = d, z + 3*d = -2*z + 51. Let c = -30 + 32. Suppose -c*f - 3*f + 45 = 5*g, -5*g - 4*f = -47. What is the remainder when z is divided by g?
10
What is the remainder when 60 + -3 + (-4 - 0) is divided by 18?
17
Let w = 700 + -342. Suppose -6*a + a = 4*i - w, 66 = a - 2*i. Let f = a + -43. Calculate the remainder when f is divided by 14.
13
Suppose 2*c + 39 = -c. Let o = 1 - c. Calculate the remainder when 41 is divided by o.
13
Let f be -4*(2 + 44/(-8)). Let m = 0 + f. Calculate the remainder when 53 is divided by m.
11
Suppose 2*p - 6 = -0*p. Suppose -p*k + 38 = -k. What is the remainder when 36 is divided by k?
17
Suppose a = d + 2, a = 2*d + 4 - 3. Suppose -r = -0*r + 3*s - 18, 0 = 2*r - a*s + 9. Calculate the remainder when 14 is divided by r*(1 - 6/(-9)).
4
Let k = 8 + -3. Suppose k*s = s + 220. Let q = s + -35. What is the remainder when q is divided by 7?
6
Let q = -1 - -6. Let n(r) = -r + 2. What is the remainder when -2 - (1 - (0 + q)) is divided by n(1)?
0
Let l be (15/2)/((-12)/(-16)). Let m(g) = -3 - 5 + 3 - l*g. Calculate the remainder when m(-6) is divided by 19.
17
What is the remainder when 28 is divided by 2/(-6) + 460/30?
13
Let o(a) = -a**3 - 44*a**2 - 43*a + 8. Let f(g) = -g**2 - 7*g + 1. Calculate the remainder when f(-3) is divided by o(-43).
5
Let a(t) be the second derivative of t**5/20 + 3*t**4/4 - t**3 - 13*t**2/2 + 3*t. Calculate the remainder when a(-9) is divided by 11.
8
Let x = 2 - 4. Let y = 5 + x. Suppose -o - y*o + 124 = 0. What is the remainder when o is divided by 16?
15
Let k be 11/(-2) - (-2)/(-4). Calculate the remainder when (42/(-14))/(k/100) is divided by 26.
24
Let l be (-105)/(-10) - (-6)/(-4). Let g = l - 5. Let d = g + 15. What is the remainder when 55 is divided by d?
17
Calculate the remainder when (-38)/((-6)/9 + 0) is divided by 29.
28
Suppose 5*y - 333 - 37 = 0. Calculate the remainder when y is divided by 19.
17
Suppose 22*r = 18*r + 328. What is the remainder when r is divided by ((-2)/(-4))/((-3)/(-126))?
19
Suppose -12*u + 7*u = -10. Suppose d - 60 = -3*d. Calculate the remainder when (-5)/(-15)*1*d is divided by u.
1
Suppose -y - 6 = 5*u - 14, -4*y + 2 = 5*u. Calculate the remainder when 2 is divided by u.
0
Let l(w) = w**3 + 2*w**2 - 3*w + 4. What is the remainder when (-4 - -4) + 7 + 2 is divided by l(-3)?
1
Suppose -33 = 5*b + p, -33 = 5*b - 3*p - 12. Let q(c) = -2*c + 1. Calculate the remainder when q(b) is divided by 7.
6
Let a = -47 + 68. Suppose 4*i = 47 - 3. What is the remainder when a is divided by i?
10
Let n = -3 + 5. Suppose 2*o + 0 - n = 0. What is the remainder when o is divided by 1?
0
Let b(l) = -l**3 - 7*l**2 + 11*l - 12. What is the remainder when b(-9) is divided by 26?
25
Let d = -4 + 4. Let l = d + 1. Calculate the remainder when 1 is divided by l.
0
Suppose -4*i + 14 = 2. Let v(n) = -4*n - n**2 + 2*n**3 - 2 + 2*n**3 - 3*n**3 + i. Calculate the remainder when 11 is divided by v(3).
4
Let t be 6/4 + (-30)/(-20). Suppose -2*c = -6*c - t*v + 80, -c + v = -13. Calculate the remainder when c is divided by 6.
5
Let u(k) = -k**3 - 3*k**2 - 2*k + 4. Let f = -215 - -234. Calculate the remainder when f is divided by u(-3).
9
Suppose -3*c - 101 = -5*i - c, 0 = i - c - 22. Calculate the remainder when 56 is divided by i.
18
Let d(x) = -x - 4. Let y = 0 + -4. Let n be d(y). Suppose n = 5*h + 5*m - 57 + 17, -5*m = 2*h - 13. Calculate the remainder when h is divided by 5.
4
Let s be 37*3 + (-4)/(-2). Let j = -163 + s. Calculate the remainder when 28 is divided by 8/(-10)*j/4.
8
Suppose 3*h - 15 = -b + 46, 0 = 3*b - 5*h - 155. Calculate the remainder when b is divided by 14.
13
Let r = 134 - 72. What is the remainder when r is divided by 32?
30
Suppose 0 = -3*w + w + 44. What is the remainder when 43 is divided by w?
21
Let l be -1 - -2 - (1 + 0). What is the remainder when 35 - (-3 - (-2 + l)) is divided by 19?
17
Let u = 40 - 20. Suppose b = 15 + 43. Calculate the remainder when b is divided by u.
18
Let u = -11 + 25. What is the remainder when 36 is divided by u?
8
Let o = 73 - 44. Let y = 170 - 84. What is the remainder when y is divided by o?
28
Let o(g) = -8*g + 7. Let u be o(-7). Suppose 4*a - z = u, 4*a - 2*a - 5*z - 9 = 0. What is the remainder when 33 is divided by a?
16
Suppose 2*o + 3*b - 39 = 0, 5*o = 5*b + 21 + 14. What is the remainder when 291/9 - (-2)/3 is divided by o?
9
Let c be 96/20 - (-1)/5. Suppose -4*b + 3*b - 87 = -c*m, 0 = m + b - 15. Calculate the remainder when m is divided by 1 + 9 + (-7 - -6).
8
Let f = 8 - -12. Calculate the remainder when 37 is divided by f.
17
Calculate the remainder when 4/(-34) - 208/(-34) is divided by 3.
0
Suppose o = -5*h - 2 - 3, -3*o = -3*h + 15. Let l = h - -3. Suppose v + v - 10 = 0. What is the remainder when v is divided by l?
2
Let t = 46 - -22. Calculate the remainder when -4*(-2)/32*t is divided by -6*(-2 + 0) + -2.
7
Suppose k = 4*w - 52, w + 3*k + 16 = 3*w. What is the remainder when w is divided by ((-25)/(-20))/(1/4)?
4
Suppose 4*k = 2 + 26. What is the remainder when k is divided by 6?
1
Let b(n) = 7*n + 36. Calculate the remainder when 106 is divided by b(0).
34
Let v(g) = -g**2 - 12*g - 8. Calculate the remainder when v(-4) is divided by ((-36)/(-16))/(1/4).
6
Let u be ((-8)/5 - -1)*-15. Let p(t) = 2*t - 7. Calculate the remainder when 43 is divided by p(u).
10
Calculate the remainder when 47 - (-6)/9*3/(-2) is divided by 25.
21
Suppose -70 = -5*i - 5*w, -i - 5*w = -2*i + 26. Suppose -20 + 5 = -5*n. Suppose -n*x + 14 + 4 = 0. Calculate the remainder when i is divided by x.
4
Suppose 2*l = -l. Suppose -t + 52 + 1 = l. Calculate the remainder when t is divided by 14.
11
Let b(u) = u**3 + 9*u**2 - 12*u - 6. Let z = -433 - -607. Suppose -4*d - 5*j + z = 0, -3*d + 47 = -2*d + 3*j. What is the remainder when d is divided by b(-10)?
13
Let z = 119 + -98. Calculate the remainder when z is divided by 4.
1
Let c(o) = -3*o**2. Let p be c(2). Let d = p + 34. Calculate the remainder when d is divided by 12.
10
Let l(m) = 3*m**2 - m - 5. Suppose -4*s = -3*s - 4. What is the remainder when l(3) is divided by s?
3
Let r(l) = -40*l + 1. What is the remainder when r(-1) is divided by 7?
6
Let c be (8/(-3) + 1)*-3. Suppose c*a + 9 = 3*h - 20, 4*h = a + 33. What is the remainder when 23 is divided by h?
7
Let h(v) be the third derivative of 13*v**5/20 + v**4/12 - v**3/6 + 2*v**2. Let r be h(1). What is the remainder when ((-2 - -4) + -1)*r is divided by 14?
12
Suppose 0 = -5*u + 2*c + 292, 4*u - 3*c + 6 = 234. What is the remainder when u is divided by 7?
4
Suppose 2*g - 15 = -5, 5*t + 2*g = 60. Suppose -5*w + 25 = b, b + w - 5 = -0. Suppose 5*d - 12 - 8 = b. What is the remainder when t is divided by d?
2
Let t(n) = 3*n**2 - 3*n - 11. What is the remainder when t(-4) is divided by 25?
24
Let v = -10 + 17. Suppose 3*y - 130 = y. Let w = -4