 divided by 7.
5
Let c(k) be the third derivative of -k**4/24 - k**2. Suppose -2 - 2 = -4*t. What is the remainder when c(-1) is divided by t?
0
Let n = 15 - 15. Suppose n = c - 2*i - 4, 5*c - 25 = 3*i + 2*i. Calculate the remainder when c is divided by 5.
1
Suppose 12 = 4*x - 4*w, 19 = -x + 6*x - 3*w. Let v = 14 + -10. Suppose v = 2*p - 22. What is the remainder when p is divided by x?
3
Suppose -4*j = -64 + 16. What is the remainder when j is divided by 5?
2
Let s(h) = 5*h - 12. Let r be s(9). Let y = r - 17. Suppose -n = -2*n + 9. Calculate the remainder when y is divided by n.
7
Suppose 3 = 9*f - 6*f. Let b = -3 + 4. What is the remainder when b is divided by f?
0
Suppose -5*o + 4*m = 6, 3*o - m - 1 = 1. Suppose -4*v + 14 = 4*z - o*z, -2*v + 12 = -4*z. What is the remainder when (-5)/(-25) + (-68)/(-10) is divided by v?
3
Let a(n) be the second derivative of -n**3/6 + 5*n**2/2 + n. Let y be a(-8). Let l = 20 - y. What is the remainder when l is divided by 3?
1
Suppose -s + 5*h - 63 = -4*s, 0 = -h. Calculate the remainder when (-14)/s - (-101)/3 is divided by 9.
6
Let i(x) = 5*x**2 - 4*x. Let q be i(-6). Suppose -3*d - q = -5*b - 2*d, 5*b = 2*d + 203. What is the remainder when b is divided by 14?
13
Suppose 5*i + 62 - 172 = 0. What is the remainder when 8/(-32) + 1285/20 is divided by i?
20
Suppose 34*r = 32*r + 4. Calculate the remainder when 4 is divided by r.
0
Let r(k) = -10*k**3 + k**2 + 3*k + 1. Calculate the remainder when r(-2) is divided by 27.
25
Let z be 41 + -3 + 0/(-3). Suppose z = 5*b - 97. Calculate the remainder when 52 is divided by b.
25
Let m(p) = -7*p + 23. Calculate the remainder when m(-12) is divided by 36.
35
Let l(o) = -o**2 + 10*o + 13. Calculate the remainder when l(6) is divided by 13.
11
Let d(b) = b**3 - 9*b**2 - 37*b + 27. What is the remainder when 40 is divided by d(12)?
10
Suppose -3*k + 6*k = 45. Suppose 5*h - 2*z - 139 = 0, 0 = -4*h + 5*z - z + 104. Calculate the remainder when h is divided by k.
14
Suppose -r + i + 1 = 0, -2*r = -0*r + 3*i + 3. Suppose r = -4*n - 7 + 43. Calculate the remainder when 16 is divided by n/1*5/5.
7
Let b = 6 + 1. Suppose -b = h - 9. Calculate the remainder when 1*6*1 - 0 is divided by h.
0
Suppose -5*a + 8 = 48. Let w = a - -61. What is the remainder when w is divided by 18?
17
Let i be 10/(-15)*57/(-2). Suppose 3 = -4*b + i. Suppose b*q = 4*u - 32, -2*u + 24 = u + 5*q. What is the remainder when 21 is divided by u?
5
Suppose -4*v - 2 = -3*v. Let t(u) = -10*u - 2. Suppose 5*w - 114 = 146. What is the remainder when w is divided by t(v)?
16
Let f(l) = l**2 + 6*l - 2. Calculate the remainder when f(3) is divided by 9.
7
Let h = 19 - -2. Let q be 2 - (4 + -2) - -5. Suppose -4*u - 4*s + 68 = 4, 0 = q*u + 4*s - 75. Calculate the remainder when h is divided by u.
10
Let a(x) = x - 5. What is the remainder when (-2 - -3) + (-1)/(-1) is divided by a(6)?
0
Let s(k) = k**2 - 3*k - 2. Let m be s(4). Suppose a - m*c = 0, -3*a = -2*c - 30 + 10. Calculate the remainder when 37 is divided by a.
7
Let o(l) = l**3 - 18*l**2 - 15*l - 43. Calculate the remainder when 195 is divided by o(19).
30
Let y = 164 + -103. Let f = 26 - y. Let u = -22 - f. Calculate the remainder when 24 is divided by u.
11
Let a(g) = -8*g + 4. What is the remainder when a(-2) is divided by 6?
2
Let d be (-3)/(-2) + (-2583)/(-14). Suppose -3*f + 9*f - d = 0. Calculate the remainder when f is divided by -4*2*2/(-2).
7
Suppose 0 = -18*h + 7*h + 143. What is the remainder when (-4 - 1)/((-1)/5) is divided by h?
12
Suppose -2*p - 4670 = 5*f, -2*f - 651 - 1206 = 3*p. Calculate the remainder when f/(-56) - (-2)/7 is divided by 9.
8
Let x be 0 + 15/(-3)*-6. Suppose 4*o - 5*y - x = o, 2*o = -3*y + 1. Calculate the remainder when ((-9)/(-6))/((-6)/(-52)) is divided by o.
3
Let k = 41 - 37. What is the remainder when 15 is divided by k?
3
What is the remainder when (65 + 0)*(-24)/(-40) is divided by 23?
16
Let n be 0 + (1 - -5) + 0. Suppose 3*d + 3*f = 6, -2*d + 2*f + 10 + n = 0. What is the remainder when 12 + 1 + (2 - d) is divided by 4?
2
Let j = 78 - 44. Let n = 4 - -8. What is the remainder when j is divided by n?
10
Suppose b = -4*m + 75, 5*m + 3*b - 60 = 32. Let p(u) = 65*u + 27. What is the remainder when p(1) is divided by m?
16
Suppose 4*q - 15 = 1. Let m be ((-4)/3)/(8/(-12)). Suppose 3*r - 5*y = -16, 14 = -m*r + y + 3*y. Calculate the remainder when q is divided by r.
1
Suppose 0 = 2*i - 5*i + 129. Suppose 4*f = -4*n + 48, 1 = 4*f - 5*n - 74. Calculate the remainder when i is divided by f.
13
Let m = -34 - -97. Let k = 89 - m. Suppose b - 16 = -3*g, 1 = -5*g - 2*b + k. Calculate the remainder when g is divided by 4.
3
Let b be (5/(-3))/((-5)/(-390)). Let m(p) = -2*p**3 - p**2 + 2*p + 1. Calculate the remainder when m(-2) is divided by (-4)/(-14) + b/(-35).
1
Let p = -33 - -22. Let d = p + 15. Suppose -5*l + 62 = d*t, 2*t - 3*l = -0*l + 20. What is the remainder when t is divided by 7?
6
Let q be ((-3)/(-2))/((-3)/(-6)). Suppose -q*r + 5 = -1. Let v = -6 + 7. Calculate the remainder when r is divided by v.
0
Let j(o) = o**2 - 4*o - 2. Let p be j(5). Suppose -3*w = -6*f + 3*f, 5*w - 32 = -p*f. Calculate the remainder when (4/6)/((-1)/(-42)*4) is divided by f.
3
Suppose -2*b - 58 = -4*q, -q - 2*q + 41 = b. Let j = 0 + q. Let g = 101 + -60. What is the remainder when g is divided by j?
13
Let n = -17 - -64. Suppose c + 13 = n. What is the remainder when c is divided by 9?
7
Let b(q) = -q**3 - 5*q**2 - 2*q + 7. Let j be b(-4). What is the remainder when 7 is divided by (24/(-32))/(j/4)?
1
Let a be (-1)/2 - 273/(-6). Let s = a - 30. Calculate the remainder when s is divided by 8.
7
Let c(y) = -y**2 - 9*y + 18. What is the remainder when 71 - -1*0/(-1) is divided by c(-9)?
17
Calculate the remainder when 33/7 - 12/(-42) is divided by 5.
0
Let o be 1 - 2 - 565/(-5). Let q be o/3 - (-3)/(-9). Let x = -15 + q. Calculate the remainder when x is divided by 12.
10
Let d = 31 + -19. Calculate the remainder when 47 is divided by d.
11
Suppose -4*z + 0*x + 4*x = -4, -20 = -5*x. Let i(m) = m + 1. Let u be i(z). Suppose -a = -3*a + u. What is the remainder when 4 is divided by a?
1
Let x(n) = -n**2 - 10*n + 10. Let u(s) = -s**3 - 4*s**2 + 7*s. Let o be u(-5). Let w = 5 + 1. What is the remainder when x(o) is divided by w?
4
Let o(t) = t**3 - 9*t**2 + t + 1. Calculate the remainder when o(9) is divided by 6.
4
Let i(j) = -j**3 - j**2 - 7*j - 1. Let o(s) = 2*s**3 + 3*s**2 + 14*s + 3. Let m(w) = -7*i(w) - 4*o(w). What is the remainder when 9 is divided by m(-4)?
2
Let s(y) = -12*y - 4. Let d be s(3). Let g be (-10)/4*48/d. Suppose 0 = -g*l - 0 + 12. Calculate the remainder when 14 is divided by l.
2
Suppose -5*z + 207 = -0*z - 4*b, 4*b - 8 = 0. Let g(m) = -m**3 + 2*m**2 + 3*m + 1. What is the remainder when z is divided by g(-2)?
10
Suppose 15*l - 22 - 53 = 0. What is the remainder when 24 is divided by l?
4
What is the remainder when (-2)/(-8) - (-332)/16 is divided by 11?
10
Let s(q) = q**3 - 10*q**2 + 11*q - 8. Suppose 0 = -m - m - 5*h + 33, -h = -4*m + 33. What is the remainder when 37 is divided by s(m)?
7
Let o = -12 + 21. What is the remainder when 25 is divided by o?
7
Suppose 5*y + 28 = 113. What is the remainder when 29 is divided by y?
12
Suppose 4*d + s - 59 = -0*s, 5*d + 2*s = 73. Let c(j) = 2*j**2 + 5*j - 4. Let o be -1 - (-6)/(2 - 4). What is the remainder when d is divided by c(o)?
7
Let m(t) = t**2 + 9*t - 110. Suppose 0 = -0*u + 2*u - 10. What is the remainder when u is divided by m(-16)?
1
Suppose 2*m - 128 = 4*n, 3*m + n - 201 + 44 = 0. Calculate the remainder when m is divided by 14.
12
Suppose 2*u - 6*u = -164. What is the remainder when u is divided by 14?
13
Let h(b) = -21*b. Let p(z) = 2*z**2 + 3*z. Let s be p(-3). Suppose d - s + 1 = 0. What is the remainder when h(-1) is divided by d?
5
Let o = -5 + -1. Let x(t) = -7*t - 1. Let s = -25 - -36. What is the remainder when x(o) is divided by s?
8
Let y = 1 - 1. Let l(p) = p**2 + p + 64. Suppose 52 = 2*o - 0*x - 4*x, 2*o - x = 46. What is the remainder when l(y) is divided by o?
20
Suppose -26*i + 29*i = 585. Calculate the remainder when i is divided by 49.
48
Let d(z) be the second derivative of -z**4/12 - 2*z**3 + 9*z**2/2 - 5*z. What is the remainder when d(-