 when 17 is divided by j(f).
5
Let g = -25 + 37. What is the remainder when 6/39 - (-1359)/39 is divided by g?
11
Suppose -7*b = -56 + 14. Calculate the remainder when 23 is divided by b.
5
Suppose 145 - 25 = 4*i. Let o(r) = r**3 + 10*r**2 - 12*r - 6. Let n be o(-11). Suppose -80 = -10*d + n*d. What is the remainder when i is divided by d?
14
Suppose k = -k + 58. Calculate the remainder when k is divided by (0 - (-2)/6) + 88/6.
14
Suppose -4*x - 24 = -184. What is the remainder when 79 is divided by x?
39
Let k(f) = -f**2 - 3*f - 1. What is the remainder when 1 is divided by k(-2)?
0
Let p(n) be the third derivative of -n**6/60 - n**5/15 - n**4/6 - 2*n**2. Let a(t) = t**2 + 3*t - 2. Calculate the remainder when p(-3) is divided by a(-6).
14
Suppose -33 = 5*j + 27. Calculate the remainder when (1 - -11)/(j/(-8)) is divided by 5.
3
Suppose 6 = -3*k - 5*q - 32, -q + 14 = -3*k. What is the remainder when (10/15)/((-1)/k) is divided by 2?
0
Suppose q = -0*q + 2. What is the remainder when 29 is divided by 20*(1 + (-1)/q)?
9
Suppose 2*w - o - 3 = 5*w, -o + 13 = -5*w. What is the remainder when 48 is divided by w/((4/(-5))/4)?
8
Let k = 71 + -48. Let s = -13 + k. What is the remainder when s is divided by 3?
1
Suppose -3*f + 2*f + 12 = 0. Suppose -2*m - 3*q = -59, 3*m + q = -4*q + 87. What is the remainder when m is divided by f?
10
Suppose -4*f + 875 = f. Calculate the remainder when (-1 - -3)*f/10 is divided by 12.
11
Suppose 270 + 180 = 6*d. Calculate the remainder when d is divided by 39.
36
Suppose 3*m - 6*m = -15. Suppose 7*u - 6 = m*u. Suppose 125 = 2*q + u*q + 3*d, 3*q - 75 = 2*d. What is the remainder when q is divided by 9?
7
Let s = 0 + 0. Suppose s = -4*t + t + 21. What is the remainder when t is divided by 2?
1
Let q(f) = f**2 + 8. Let v = 23 + -23. Let t(h) = -h**2 + 8*h - 7. What is the remainder when q(v) is divided by t(6)?
3
Suppose 2*m = 5*o - 385, -5*o + 0*o - 4*m + 385 = 0. What is the remainder when o is divided by 26?
25
Suppose -12 = 4*d, 0*a = -a - 2*d + 11. What is the remainder when 48 is divided by a?
14
Let t(p) = 68*p - 1. Calculate the remainder when t(1) is divided by 56/6*(-3)/(-2).
11
Suppose q + 32 = -0*q. Let m = -9 - q. Calculate the remainder when 67 is divided by m.
21
Let h(z) = z**2 + 2*z + 2. Let o be (18 - (-3 + 2)) + 1. Let r = 33 - o. What is the remainder when r is divided by h(-3)?
3
Suppose -j = -4*v - 0 + 12, -5*v + 26 = -4*j. Suppose i + 4*q = 39, v*i - 3*q - 139 = -39. Calculate the remainder when i is divided by 16.
15
Suppose -2*i = -2*n - 2, 3*i - 4 = 2*i. Suppose -u = n*r, 2*u + 2*r + 2*r = 6. Suppose 0*o + o = u. Calculate the remainder when 26 is divided by o.
8
Let m = 88 - 72. Calculate the remainder when 76 is divided by m.
12
Calculate the remainder when 24/204 - 644/(-17) is divided by 10.
8
Suppose v - 3*y = -10, -3*v = -3*y + y - 5. What is the remainder when v is divided by 2?
1
Suppose -4*r = -10*y + 5*y + 45, -r - 30 = 5*y. Let g = 0 - r. What is the remainder when 59 is divided by g?
14
Suppose 5*m - 11 = -6. Let b = 33 - -6. Calculate the remainder when b is divided by (3*m)/((-36)/(-120)).
9
Let k = 3 - 1. Let h = 4 - k. Let z(c) = 2*c**2 + 3*c - 1. Calculate the remainder when z(h) is divided by 5.
3
Suppose 3*z + 63 = 5*w, 2*w + z + 2*z - 42 = 0. Suppose -4*l + w = -5*s, -8 = -2*l - 5*s + 7. Calculate the remainder when l is divided by 4.
1
Let b(a) = 16*a**3 - a + 1. Calculate the remainder when 78 is divided by b(1).
14
Let f = 0 + 13. What is the remainder when 36 is divided by f?
10
Suppose 3*q = 5*x - 43, 0*x = -2*x + 5*q + 21. Let m(u) = -u**2 + u + 23. What is the remainder when m(0) is divided by x?
7
Let f = 21 + -15. Suppose 0 = -f*o + 3*o + 6. Suppose 0 = -2*h + a + 25, 0*a - 49 = -5*h - o*a. Calculate the remainder when 31 is divided by h.
9
Calculate the remainder when ((-2)/(-2) - 2)*-9 is divided by 5.
4
Suppose -7 - 49 = -4*p. What is the remainder when 26 is divided by p?
12
Let k(w) = 4*w - 14. What is the remainder when k(11) is divided by 17?
13
Let g(s) = -6*s**2 - 3*s + 1. Let q be g(-3). Let t = -15 - q. Calculate the remainder when t is divided by 10.
9
Let r(a) = 2*a + 58. Calculate the remainder when 28 is divided by r(-26).
4
Suppose -3*y + 20 = -16. Let t be 5/(-2)*y/(-15). Suppose -2*z - r = -2*r - 54, -4*r - 42 = -t*z. Calculate the remainder when z is divided by 10.
9
Let q(d) = 20*d - 33. Calculate the remainder when q(10) is divided by 24.
23
Let q(f) = -3*f - 33. Suppose 0 = -6*k + k + 5*t - 30, 0 = -2*k - 3*t - 12. Let o = 8 + k. Calculate the remainder when q(-12) is divided by o.
1
Suppose -3*k = -4*k - 4. Let q(m) = -m**2 - 3*m + 5. Let h be q(k). Suppose 3*w + 4*y - 28 = 0, -y + 8 + h = w. What is the remainder when 15 is divided by w?
7
Calculate the remainder when 96 is divided by 28 + -2 - (8 - 7).
21
Let a(m) = m**2 - 12*m - 7. Calculate the remainder when a(15) is divided by 13.
12
Suppose -3*g + 61 = 4*k, 0 = 5*g - 0 + 5. Calculate the remainder when 156 is divided by k.
12
Suppose 6*w = -6*w + 72. Calculate the remainder when (2/3)/((-2)/(-33)) is divided by w.
5
Suppose -20*i + 15*i + 135 = 0. What is the remainder when 134 is divided by i?
26
Let q(m) be the first derivative of -m**4/4 + 5*m**3/3 + 3*m**2/2 + 2*m + 2. Let w = -13 + 22. Calculate the remainder when q(5) is divided by w.
8
Let k be (-366)/8 - (-10)/(-40). Let b = k - -116. Calculate the remainder when b is divided by 36.
34
Suppose -k + 20 = -3*c, 0*c - 15 = 3*c. Suppose -k*w = -n + 3*n - 26, -4*n = -4*w + 32. Let d(u) = -2*u - 6. Calculate the remainder when w is divided by d(-5).
2
Let f(y) = y**2 + 4*y - 6. Suppose z + 2 - 18 = 2*j, -46 = -3*z + 4*j. Let t = z + -23. What is the remainder when f(t) is divided by 20?
19
Let p(x) = 8*x + 14. Let y be p(-7). Let s = -30 - y. What is the remainder when 23 is divided by s?
11
Suppose 5*r - 40 - 10 = 0. Suppose -2*a + 0*a = -r. What is the remainder when 27 is divided by a?
2
Suppose 7*g = 2*g + 130. Suppose 2*m = m + g. What is the remainder when 49 is divided by m?
23
Suppose -2*l - 3*c = -4*c - 72, -115 = -3*l + 5*c. Let o = 11 - 5. Suppose 0 = -w + o*w - 90. What is the remainder when l is divided by w?
17
Let f = 19 - -39. What is the remainder when f is divided by 18 - 2*(-2)/2?
18
Let z = -5 + 47. What is the remainder when 83 is divided by z?
41
Suppose -s + 3*g + 3 = 4*s, -5 = s + 5*g. Suppose 3 = i, 4*t - 358 = -s*t + 2*i. Suppose -t = -4*a - 19. Calculate the remainder when a is divided by 10.
8
Let s be (-3)/(-4) - 9/(-4). Suppose 0 = h + s*h. Suppose h = -3*x + 5*a - 7, 2 + 2 = 4*x - 4*a. Calculate the remainder when 17 is divided by x.
5
Let g(v) = 7*v + 1. Let w(t) = -8*t. Let i(b) = 7*g(b) + 6*w(b). Let f be i(-6). Calculate the remainder when 16 is divided by 56/6 - f/3.
7
Let y be -44*(3/2 - 2). Suppose -74 - y = -3*b. What is the remainder when b is divided by 17?
15
Calculate the remainder when 2/(-1 + 30/29) is divided by 33.
25
Let g(n) = -2*n + 1. Let y(s) = -s**2 - 3*s. Let r be y(-2). Suppose 85 = -r*p + 7*p. Calculate the remainder when p is divided by g(-4).
8
Let c be ((-2)/8)/(6/(-72)). Suppose 7*i - c*i - 36 = 0. What is the remainder when 17 is divided by i?
8
Calculate the remainder when (4 + 13/(-3))*-168 is divided by 25.
6
Suppose -16 = -3*u + 194. Let m = 83 + -59. What is the remainder when u is divided by m?
22
Suppose p = -15*p + 352. What is the remainder when 33 is divided by p?
11
Suppose 0 = -x + 3 - 17. Let i = -5 - x. What is the remainder when 17 is divided by i?
8
Suppose 21 = 4*o - 3. Let j(i) = -i**2 + 10*i + 1. Let s be j(o). Let f = s - -7. Calculate the remainder when f is divided by 11.
10
Suppose -3*j - 52 = -4*b, -6*b + 65 = -b + j. Suppose 0 = -a + b - 3. Calculate the remainder when 28 is divided by a.
8
Let a = 60 + -46. What is the remainder when 109 is divided by a?
11
Let i(n) = -6*n**2 + n - 15. Let r(t) = -5*t**2 + t - 15. Let x(y) = 4*i(y) - 5*r(y). Calculate the remainder when x(0) is divided by 6.
3
Suppose 0 = -5*r - 3*u + 197, -6*u + u - 165 = -4*r. Calculate the remainder when r is divided by 24.
16
Suppose 117 + 48 = 3*b. Suppose 4*m - 45 - b = 0. Calculate the remainder when m is divided by 7.
4
Suppose -i - 2*a + 7 = -5, i - 2*a = 12. What is th