280. What is the remainder when 521 is divided by f?
104
Let m = -86 - -151. Suppose 3*s + 2*s = m. What is the remainder when 38 is divided by s?
12
Let q(a) = -2*a**2 - 36*a - 53. Calculate the remainder when q(-9) is divided by 10.
9
Suppose 0 = -0*v + 2*v, 5*x = v - 5. Let r be (-7 + 7)/(2*x). Suppose -5*z + 35 + 5 = r. What is the remainder when 15 is divided by z?
7
Let u(n) = -n**2 - 7*n + 10. Let o be u(-8). Suppose -4*f - 56 = k, -k = -o*f + 2*k - 28. Calculate the remainder when 70/4*(-24)/f is divided by 16.
14
Let t(i) = 13*i**2 + 12*i - 30. What is the remainder when t(5) is divided by 30?
25
Suppose -2*j = -2*o + 120, -2*j = -22*o + 17*o + 294. Calculate the remainder when o is divided by 6.
4
Let r(a) = -2 + 7 + 6*a**3 + a**3 - 3*a**2. What is the remainder when r(2) is divided by 26?
23
Let h(s) = s**2 - 9*s + 12. Let g be h(8). Suppose -333 = -g*x + 111. Calculate the remainder when x is divided by 28.
27
Suppose -5*w + 2*w + 231 = 0. Let s(i) = -15*i + 87. What is the remainder when w is divided by s(4)?
23
Suppose -10 = -2*d + 2*y, d = 2*d + 3*y - 1. Suppose -4*p + h + 508 = 0, p + d*h = 82 + 28. What is the remainder when p is divided by 32?
30
Let g(u) be the first derivative of u**2 + 8*u + 11. Suppose 3*w + 2 = 26. Calculate the remainder when g(7) is divided by w.
6
Let k(l) = -2*l**3 - 47*l**2 - 25*l - 24. Calculate the remainder when 82 is divided by k(-23).
16
Let j(k) = k**2 + 5*k + 8. Suppose -2*l - 5*b = 12, -b - 2*b = -2*l + 20. Suppose -4*m - 28 = -l. Calculate the remainder when j(m) is divided by 6.
2
Let t(d) = 88*d**2 + 2*d + 10. What is the remainder when t(-2) is divided by 90?
88
Suppose -3*h - p + 0 = -7, 6 = -3*p. Suppose x - 3*t + 3 = -t, 0 = -h*x - 4*t + 21. Suppose x*j - 49 = 53. Calculate the remainder when j is divided by 18.
16
Let n be ((-4)/12)/((-2)/(-54)). Let s(y) = y**3 + 10*y**2 + 9*y + 6. What is the remainder when s(n) is divided by 4?
2
Let y be 1/(((-3)/16)/(9/(-6))). Suppose y*d + 12 = 100. Calculate the remainder when d is divided by 6/1*(-2)/(-4).
2
Suppose 0 = 10*l - 5*l + 10, -169 = -5*k + 2*l. What is the remainder when 92 is divided by k?
26
Suppose -v = -18 - 32. Suppose 8*m = 3*m + v. Suppose -m*c = -15*c + 90. Calculate the remainder when c is divided by 5.
3
Let b(y) = -y + 4. Let a(z) be the third derivative of z**4/6 - 2*z**3/3 - 21*z**2. Calculate the remainder when a(7) is divided by b(-5).
6
Let j(s) be the third derivative of s**4/12 - s**3/6 - 2*s**2. Let a be 38/6 - -7*5/(-105). Calculate the remainder when j(a) is divided by 4.
3
Let p be 10/5 - (-6 + -3). Suppose 0 = p*i - 124 - 74. Let q = 173 + -104. What is the remainder when q is divided by i?
15
Let h be -3 + (36/90)/(2/20). Suppose 96 = 4*v - 5*j, -3*v + 0*j + 72 = -5*j. What is the remainder when (1 - h*-94)/(8 + -7) is divided by v?
23
Let k(w) = 15*w**3 - w + 1. Let v = 72 - 71. Suppose -26 = -3*l + p, 2*p - p + 36 = 4*l. Calculate the remainder when k(v) is divided by l.
5
Suppose 0 = -4*h + 12, 3*z - 5*h - 2 = 31. What is the remainder when 79 is divided by z?
15
Suppose 0 = 16*j - 15*j - 38. Suppose j + 37 = 3*u. Calculate the remainder when u is divided by 14.
11
Suppose -2*c = -7*c + 75. Let w = 19 - 2. Let t = 59 - w. What is the remainder when t is divided by c?
12
Let t = 43 + 26. Let n be (6 - 2)*15/20. Suppose -n*x = -2*x - 36. What is the remainder when t is divided by x?
33
Suppose -2*t + 50 = -4*i, -2*i + 2*t - 6*t = 50. Let f = i + 24. What is the remainder when 34 is divided by f?
7
Suppose -5*v - 20 = 4*g, -18 = 5*v + 2. Suppose 5*f + 0*f - 80 = g. Suppose a = -4*a + 225. Calculate the remainder when a is divided by f.
13
Let p(h) = h**2 - 8*h + 10. Let i be p(7). Suppose 2*c - 4*y + 0*y = 114, i*c + y = 157. Suppose 5*x - 12 = c. Calculate the remainder when x is divided by 5.
3
Let z(x) = 108*x - 647. What is the remainder when (-4)/10 - (-24)/10 is divided by z(6)?
0
Suppose 4*c - 4*v - 608 = 0, 4*c - 6*v - 611 = -3*v. Let r = -108 + c. Calculate the remainder when r is divided by 25.
22
Suppose -414*f + 384*f = -2460. Let d(t) = -t**3 - 4*t**2 + 9*t + 3. What is the remainder when f is divided by d(-6)?
19
Suppose 0 = 2*u + 5*a + 43, -2*a + 16 = -4*u - 10. What is the remainder when (-7 - u)*(-2 - 226/(-4)) is divided by 11?
10
Suppose 9 + 9 = 6*p. Suppose -14 = -c - 5*w, 4*w + 12 = -0*w. Suppose c = -p*b + 80. Calculate the remainder when b is divided by 6.
5
Let i = 13 + -13. Let y(t) = 75*t**3 + 1. Let z be y(1). Suppose -4*p = -z - i. What is the remainder when p is divided by 5?
4
Let n = -4 - -49. Calculate the remainder when 82 is divided by 918/n + 6/10.
19
Let g = 1 + 1. Let c be (6/(-8) - -3) + 6/8. Suppose -g*y + 5 = -x - 32, c*x + 31 = y. What is the remainder when 30 is divided by y?
14
Let t = -23 + 85. Suppose 3*c - d = -13 + 39, 0 = 5*c + 3*d - t. Calculate the remainder when 28 is divided by c.
8
Let v(s) = -3*s + 12. Let t be v(4). Suppose -b - 20 + 147 = t. Calculate the remainder when b is divided by 26.
23
Let h be (-268)/12 + -4 - 2/3. Let k = h + 38. Calculate the remainder when 26 is divided by k.
4
Let z = -1 - -13. Let d be (-1612)/(-7) + 7/(294/(-12)). Suppose -3*r - d = -8*r. What is the remainder when r is divided by z?
10
Suppose -r = -v - 1, 3*r + 5*v - 15 = -4. Suppose r*d = d + 7. Suppose 5*b + 6*f = 5*f + 63, 5*b + 5*f = 75. What is the remainder when b is divided by d?
5
Suppose -30*q + 3*q + 972 = 0. Calculate the remainder when q is divided by 30.
6
Let o(h) = -h**3 + 26*h**2 + 98*h - 121. Calculate the remainder when o(29) is divided by 10.
8
Suppose -10*m + 116 = -6*m. Calculate the remainder when 131 is divided by m.
15
Let z = -114 + 130. Let y = -45 - -55. What is the remainder when z is divided by y?
6
Suppose -h + 10 = h. Let a = -146 + 153. Calculate the remainder when a is divided by 6/(-15) + 17/h.
1
Suppose 246 = 5*w + k, -4*k - 351 + 110 = -5*w. Calculate the remainder when 12/84 - (-1007)/7 is divided by w.
46
Suppose 4*h = -f + 80, 10 = -3*h - f + 70. Let m = h + -9. What is the remainder when m is divided by 3?
2
Suppose -4*b = 2*y - 1396, -5*y = -2*b - b + 1047. What is the remainder when b is divided by 14?
13
What is the remainder when 63 is divided by (207/(-36))/(3/(-24))?
17
Let l(t) = -2*t + 92. Calculate the remainder when 73 is divided by l(25).
31
Let a = 92 + 57. Let k = -124 + a. Let v(l) = 99*l**3 + l**2 - 2*l + 1. What is the remainder when v(1) is divided by k?
24
Suppose -w - 1 = -q, w - 12 = -3*q - 1. Suppose -q*n + 4*l + 8 = 0, -3*n - 2*n = 5*l - 60. Calculate the remainder when 23 is divided by n.
7
Let z = -178 + 188. Let u = -63 - -35. Calculate the remainder when 2/2*-1*u is divided by z.
8
Suppose 443*y - 433*y - 580 = 0. What is the remainder when y is divided by 17?
7
Suppose 10*g + 35 = 11*g. What is the remainder when 102 is divided by g?
32
Let u(k) = -k**3 + 9*k**2 - 6*k. Let y be 6 + 21/(-4) - 17/(-4). Calculate the remainder when u(y) is divided by 8.
6
Let v = 131 - 125. Suppose 0 = 2*y + 10, 4*y = 4*i + v*y - 10. What is the remainder when 54 is divided by i?
4
Suppose -6*k - 13*k + 456 = 0. Calculate the remainder when k is divided by 18.
6
Let i(m) = -m**2 - 4*m + 11. Suppose 4*a - 6*a = 10. Suppose w = -w + 56. Calculate the remainder when w is divided by i(a).
4
Suppose m = 11 - 1. Calculate the remainder when m is divided by 7/(-9*49/(-126)).
0
Suppose -6*w = -8*w + 8. Calculate the remainder when 23 is divided by (w + -3)/(-1) - -14.
10
Suppose c - 50 = -18. Let h = c + -18. Calculate the remainder when 52 is divided by h.
10
Let g = 15 - 12. Suppose -10*x + g = -9*x. Suppose u = -3*j + 192, u + 68 = x*j - 2*j. Calculate the remainder when j is divided by 22.
21
Suppose 0 = 2*m + 4*j - 16, 0*m - 3*j + 16 = 2*m. What is the remainder when (1 + 0)/(2/m) is divided by 1?
0
Let t = -397 - -430. What is the remainder when 97 is divided by t?
31
Let d = 50 - 29. Let k(u) = -u**3 + 10*u**2 + 13*u - 10. Let z be -22*(-2)/(-24)*-2*3. Calculate the remainder when d is divided by k(z).
9
What is the remainder when 27 is divided by (42/(-30))/((-27)/(-15) + -2)?
6
Suppose -70*w = -69*w - 23. Calculate the remainder when 87 is divided by w.
18
Let k = 3 - 2. Suppose 0 = -4*p + 2*d, -8 = -5*d - 28. Calculat