e 6*x - 6 - 12 = 0. Suppose 12 = -0*k + k + t, 30 = 3*k - x*t. Calculate the remainder when 31 is divided by k.
9
Let p(q) = -18*q**2 + 70*q + 4. What is the remainder when 142 is divided by p(3)?
38
Suppose 5*d - 2*b - 970 = 0, 2*d + b - 195 = 193. What is the remainder when d is divided by 15?
14
Let r = -1013 - -1373. Calculate the remainder when r is divided by 52.
48
Let s(i) = 144*i - 638. What is the remainder when s(5) is divided by 54?
28
Let d(c) = 2*c**2 + 14*c - 11. Let k be d(-8). Suppose 0 = k*h - 102 + 27. Calculate the remainder when h is divided by 5.
0
Let w(o) = -6*o**3 + 2*o - 1. Let v be w(1). Let k(r) = -r - 2. Calculate the remainder when 7 is divided by k(v).
1
Let x(h) = 8*h + 2. Let b be x(1). Let g = 6 + b. Suppose 19*j = g*j + 21. What is the remainder when 18 is divided by j?
4
Let s(z) = 9*z**2 + 5*z**2 - z**3 - 7*z - 8*z**2. Let v be s(4). Suppose -x - v + 5 = 0. What is the remainder when 2 is divided by x?
0
Let i = -32 - -37. Calculate the remainder when 33 is divided by i.
3
Let q be (-634)/(-14) - (-2)/(-7). Suppose 8*x - 5*x - q = 0. Calculate the remainder when 25 is divided by x.
10
Let f = -8 - -19. Let u = f + -7. What is the remainder when 27 is divided by (1 - -15) + (u - 6)?
13
Let f(w) = -4*w - 1 - 2*w - w + 4*w**2. Suppose -y + 0*y + 15 = 3*g, 3*y + 5*g - 29 = 0. What is the remainder when f(y) is divided by 8?
6
Suppose 5*u + 473 = -242. Let j = u - -153. Calculate the remainder when 37 is divided by j.
7
Let x = 14 - 8. Let k(w) = w**3 - 4*w**2 - 5*w + 8. Let s(v) = -v**3 - 17*v**2 - 14*v + 50. Calculate the remainder when k(x) is divided by s(-16).
14
Let p = 5 - 0. Suppose p*q = q + 56. Calculate the remainder when q is divided by 8.
6
Let k(l) = l**3 + 18*l**2 + 13*l - 44. What is the remainder when 44 is divided by k(-17)?
20
Calculate the remainder when 97 is divided by 45/6*60/9.
47
Suppose 0 = -2*f + f - z + 54, -2*z = -f + 48. What is the remainder when f is divided by (38 - 2)*(-9)/(-12)?
25
Let o(y) be the second derivative of y**5/20 + 2*y**4 - 13*y**3/3 + 26*y**2 + 14*y. Calculate the remainder when o(-25) is divided by 28.
21
Let t be 186/2 + -4 + -2. Let u = t - 72. What is the remainder when 46 is divided by u?
1
Suppose 88 = 546*g - 542*g. Calculate the remainder when 153 is divided by g.
21
What is the remainder when (5 - (-4 + 13)) + 256 is divided by 78?
18
Let p = 270 + -261. What is the remainder when p is divided by 1?
0
Suppose -3*d - 5*r + 146 = 0, -d + 0*r = 4*r - 58. Calculate the remainder when 2*(12 + 33)*9/10 is divided by d.
39
Suppose -3*w + 10 = 2*f, -2*f - 12 = -2*w - 2. Let o = w + 5. What is the remainder when 33 is divided by o?
6
Suppose 5*v - 34 = -p, p = -2*v + 2*p + 8. Suppose -42 = 51*k - 53*k. Calculate the remainder when k is divided by v.
3
Suppose -2*b + 2*y + 10 = 0, -b + 14 = b - 3*y. Let a be 175/6 + b/(-6). Let k = a + -12. What is the remainder when k is divided by 5?
2
Suppose -351 + 21 = -6*k. Suppose 0 = -0*b - b. Suppose b = q - 0*q - 29. What is the remainder when k is divided by q?
26
Suppose 5*j - 846 = 3*b, b = -2*b + 9. Suppose -7*q + 4*q + j = -3*p, 0 = 5*q + p - 291. Calculate the remainder when q is divided by 15.
13
Let z(w) = -855*w**3 + w**2 - w - 1. What is the remainder when z(-1) is divided by 11?
9
Let c be 103/(-8)*-2*(26 + -14). Let j = -169 + c. What is the remainder when j is divided by 24?
20
Let y be ((-4)/(-10))/((-6)/(-30)). Suppose -3*t + 2*t - y = 0. Calculate the remainder when 25 is divided by (-6 - 0)/(t/3).
7
Let l(w) = w**3 + 23*w**2 - 4*w - 23. Calculate the remainder when 194 is divided by l(-23).
56
Suppose 250 = 4*h - 4*k + 10, 0 = h - 3*k - 62. What is the remainder when h is divided by 9?
5
Let v(w) = -19*w + 17. Let r be v(-7). What is the remainder when (3/(-9))/((-5)/r) is divided by 10?
0
Suppose 102 = -12*z - 30. What is the remainder when 2/z - (-40968)/264 is divided by 16?
11
Let m(w) = w**3 + 18*w**2 - 2*w - 38. Let u be m(-18). What is the remainder when 46 is divided by (u + 16/12)*(-14 + -1)?
6
Suppose 0 = 108*q - 1509 - 2919. What is the remainder when q is divided by 3?
2
Let p be -2 - (-1)/((-3)/(-9)). What is the remainder when (24/(-20))/(p/(-5)) is divided by 4?
2
Let l be 1*-1 + 2 - 0. Suppose 2*q - 5*v + 29 - 57 = 0, 3*v = 5*q - 108. Calculate the remainder when 22 is divided by l/(2/(q/2)).
4
Let z be (6/(-4))/((-30)/80). Suppose -z*d = -2*d - 36. Calculate the remainder when 89 is divided by d.
17
Let m(k) = 24*k. Let l be m(1). Let a be (-105)/10*l/(-14). Suppose 17*g + 23 = a*g. What is the remainder when g is divided by 13?
10
What is the remainder when 201 is divided by (-8)/(-1) - 6/6?
5
Let n(z) = 2*z**3 - 28*z**2 - 28*z - 20. Calculate the remainder when 37 is divided by n(15).
7
Let q(x) = 22*x**2 + 2*x - 1. Let f(v) = -21*v**2 - 3*v + 1. Let c(r) = 2*f(r) + 3*q(r). What is the remainder when c(1) is divided by 9 + 0 + (-5 - (-45)/5)?
10
Suppose 3*g = x + 102, 5*g + x = 81 + 81. Calculate the remainder when 593 is divided by g.
32
Suppose -79*v + 109 = -72 - 56. Calculate the remainder when (5 + 1)*(-6)/(-4) is divided by v.
0
Let h(c) = 3*c - 5. Let q be h(6). Suppose q = -6*r - 35. Let z(f) = f**3 + 10*f**2 + 7*f - 7. Calculate the remainder when z(r) is divided by 17.
14
Let d be (-20)/30 + (-69)/(-9). Suppose 34*b - 33*b = d. What is the remainder when 25 is divided by b?
4
Let d(r) = 154*r - 37. Calculate the remainder when d(3) is divided by 107.
104
Let u(m) = -m**2 - 12*m - 11. Let d be u(-11). Let x(n) = 135 + 4*n**2 - 3*n**2 - 128 + d*n - 3*n. Calculate the remainder when x(6) is divided by 13.
12
Let o be ((-72)/20)/6*-5. Let v(s) = s**3 + 2*s - 10. Calculate the remainder when v(o) is divided by 12.
11
Suppose 83 = 3*s - 4*z, -z = 5*s - 4*s - 23. Let x be 468/(-1) - 2/1. What is the remainder when s is divided by (-2)/(-7) - x/70?
4
Calculate the remainder when (-2)/(-4) + 9078/68 is divided by 17.
15
Let k(m) = 2*m + 3. Let n(h) = 6*h + 12. Let p(b) = -22*k(b) + 6*n(b). Calculate the remainder when p(-7) is divided by 9.
8
Let s(g) = g**2 + 45*g - 136. What is the remainder when s(-48) is divided by 1?
0
Let v(a) = a**3 - 5*a**2 - 6*a + 2. What is the remainder when 20 is divided by v(6)?
0
Let h(j) = -15*j + 21. Let f = 31 - -16. What is the remainder when h(-11) is divided by f?
45
Suppose -4*g + a = -22 + 1, 2*g = -4*a + 6. Suppose 3*c = -g*o + 17, o - 1 = -0*o. Calculate the remainder when ((-7)/c)/(3/(-72)) is divided by 11.
9
Suppose g - 3*g = 182. Let b = g - -164. What is the remainder when b is divided by 19?
16
Let h(b) = -2*b**3 + 5*b**2 - 8*b + 2. Let m be h(4). Let k = m - -145. What is the remainder when k is divided by 10?
7
Suppose 46*w = 50*w + 5*c - 166, -4*w = 4*c - 164. Calculate the remainder when 193 is divided by w.
37
Suppose -2*d + 68*b - 63*b = -621, 4*b - 291 = -d. What is the remainder when d is divided by 148?
7
Let b(s) = -s**2 - 7*s + 16. Let t be b(-7). Let g be (t/12 - 1)*12. Suppose 9 = g*f - 55. Calculate the remainder when 30 is divided by f.
14
Suppose 9*y - 8*y = -v + 145, -3*v - 265 = -2*y. Calculate the remainder when y is divided by 9.
5
Suppose 7*h - 4*h = 5*d + 29, -d + 77 = 4*h. Suppose 13*p = h*p - 95. Let x = -22 + 57. What is the remainder when x is divided by p?
16
Suppose 1646 = 22*b + 150. What is the remainder when 405 is divided by b?
65
Let q(p) be the second derivative of 1/3*p**3 + 0 - 1/2*p**2 + 2*p. Calculate the remainder when 43 is divided by q(6).
10
Let m(p) = p**3 + p**2 + 2*p - 3. Suppose -4*u + 6 = -2*u. Let i be m(u). Let z = 61 - i. What is the remainder when 43 is divided by z?
21
Suppose 0*j = -j + 54. Suppose 4*c = 3*d + 105, 2*c + d - j = 3*d. Let f = -2 - -9. What is the remainder when c is divided by f?
3
Let b(o) = o**2 - 6*o - 22. Let m be b(9). Let q be (1 + -2)*1 - -2. Suppose -q + 3 = -k - 5*y, -3*k + m*y = -54. What is the remainder when k is divided by 3?
1
Let l = 230 - 221. Let n = -56 - -11. Let m = -12 - n. Calculate the remainder when m is divided by l.
6
Let o(v) = -2*v**3 + 2*v**2 + 4*v + 2. Let q be o(-1). Suppose 4*s = -4*j + 376, q*s - 57 - 39 = -j. Calculate the remainder when j is divided by 24.
20
Let g = -58 + 73. Calculate the remainder when 132 is divided by g.
12
Sup