remainder when x(-12) is divided by 40.
26
Let c = -14 - -24. Let d(q) = -3*q - 138. What is the remainder when c is divided by d(-47)?
1
Suppose -17*x + 530 = -7*x. Suppose -3*v = -4*v + 5*z + 14, 5*v = -5*z + 100. Calculate the remainder when x is divided by v.
15
Suppose 36*k + 161 = 37*k - s, -5*s - 20 = 0. What is the remainder when k is divided by 31?
2
Suppose 5*l - 28 + 48 = 0. Let a(z) be the first derivative of -4*z**2 + z - 1. What is the remainder when a(l) is divided by 7?
5
Let d(i) = -4*i + 71. Let c(y) = 4*y + 12. Let f be c(-7). Calculate the remainder when d(f) is divided by 23.
20
Let u be 0 + (2 + -3 - -11). Let g = -26 + 19. Let v = g + u. What is the remainder when 3 is divided by v?
0
Suppose -13*f + 454 = -66. What is the remainder when 1478 is divided by f?
38
Let g(s) = -s**3 + 13*s**2 + 21*s - 46. What is the remainder when g(14) is divided by 27?
25
Let w(c) = -c**2 + c - 3. Let h be w(0). Let y = h + 6. Suppose -13*n + 26*n = 221. Calculate the remainder when n is divided by y.
2
Let v(p) = -15*p + 10*p + 8*p + 10*p - 11. What is the remainder when v(2) is divided by 6?
3
Let c be (1 - 1) + -2 + 6. Suppose 0 = -c*z + 58 + 82. Calculate the remainder when z is divided by 14.
7
Suppose -227 = -z - 222. What is the remainder when 24 is divided by z?
4
Let d(f) = f**3 - 14*f**2 + 16. What is the remainder when 109 is divided by d(14)?
13
Suppose 9*b + 150 = 582. What is the remainder when 141 is divided by b?
45
Suppose -16 = b + 40. Let t = b - -267. Suppose -5*y - 2*s + s = -t, y - s = 41. What is the remainder when y is divided by 22?
20
Let q(d) = -d**2 + 4*d + 17. Suppose -3*a = -2 - 19. What is the remainder when q(5) is divided by a?
5
What is the remainder when (10 - 9581/26)*-2 is divided by 59?
9
Suppose 0 = -2*r + 5*r - 12. Let a(g) = -4*g. Let f be a(-1). Suppose -m + 0*y = r*y - f, -2*m + 4*y + 44 = 0. Calculate the remainder when m is divided by 5.
1
Suppose -10 = 5*f - 35. Suppose 0 = 3*l + f*m - 162, 6*l - 2*l + 2*m = 216. Calculate the remainder when l is divided by ((-84)/(-8))/(3/4).
12
Let f = 118 + -64. Calculate the remainder when f is divided by 762/36 - (-1)/(-6).
12
Let p = 559 - 536. Calculate the remainder when 88 is divided by p.
19
Let o(i) = -3*i**3 + 37*i**2 - 3*i - 26. What is the remainder when 320 is divided by o(12)?
74
What is the remainder when 35 is divided by (-4 - -9) + 6/(10/5)?
3
Suppose 57 + 23 = -5*d. Let l be (-2)/8 - 4/d. Suppose 0 = -l*n - 2*n + 10. What is the remainder when 13 is divided by n?
3
Suppose -z + 2*n = 5*n - 12, 0 = 2*z + 3*n - 21. Suppose z + 31 = 4*v. Let x(i) = 2*i**2 - 6*i + 1. Calculate the remainder when x(6) is divided by v.
7
Calculate the remainder when 204 is divided by 28 + ((-21)/63)/(2/30).
20
Let c = -14 - 11. Calculate the remainder when 2/10 - 870/c is divided by 18.
17
Let y = 10 + 29. Calculate the remainder when (-1 + -1)*250/(-20)*3 is divided by y.
36
Suppose 15*j - 813 = 237. Let h = j - 60. Calculate the remainder when 16 is divided by h.
6
Suppose 51 = 2*w - 5. Let d = 31 - w. Suppose -d*f + 17 = -25. Calculate the remainder when 54 is divided by f.
12
Let v = 1254 + -450. Calculate the remainder when 31 is divided by 4/34 + v/102.
7
Let c = 6 + 3. Suppose 3*o + 13*d = 9*d + 17, 3*d - 21 = -5*o. Calculate the remainder when c is divided by o.
0
Let k(n) = n**3 + 8*n**2 + 2*n + 10. Let m be k(-8). Calculate the remainder when (4 + (m - -11))/(1 - 0) is divided by 5.
4
Let m(x) = -x**2 + 4*x + 12. Let p be m(6). Let k(s) = -s**3 - s**2 - 2*s - 8. Let n be k(p). What is the remainder when ((-80)/n)/(4/42) is divided by 27?
24
Calculate the remainder when 157 is divided by (58/(-3))/((128/(-12))/16).
12
Let h be 56/(-21) + 1 + (-4)/(-6). Calculate the remainder when ((-1)/(-1))/(26/(-27) - h) is divided by 10.
7
What is the remainder when 357 is divided by 80/((4 + 66/(-15))*-5)?
37
Let l = 251 + 461. What is the remainder when l is divided by 42?
40
Let x(c) = c**3 - 34*c**2 + 9*c - 270. Calculate the remainder when 68 is divided by x(34).
32
What is the remainder when -1 + 143 + 90/10 is divided by 17?
15
Let h(o) = -4*o**2 + 25*o - 6. Let f be h(6). Suppose f = -19*z + 14*z + 135. Calculate the remainder when z is divided by 6.
3
Suppose 50 = 3*q + 2*q. Suppose 4*n + q - 38 = 0. Let r(f) = -f + 10. What is the remainder when r(n) is divided by 1?
0
Let f be 3*(2 - 3 - -2). Let l be -5 + f/1 + -2. What is the remainder when 35 is divided by (2/l)/((-1)/24)?
11
Suppose 0 = 3*v - 2*o - 0 - 5, 0 = o - 2. Suppose -5*f - 4*u - 9 = 1, v*f - 3*u = 21. Calculate the remainder when f is divided by 2.
0
Let d = 0 + 14. Suppose 6*n - 797 + 641 = 0. What is the remainder when n is divided by d?
12
Suppose 0 = 2*i + 4, -2*i + 47 = 2*y - 75. Let l = 72 - y. What is the remainder when 25 is divided by l?
7
Let k(l) be the first derivative of l**4/4 + 8*l**3/3 - 3*l**2/2 + 9*l + 33. Calculate the remainder when k(-8) is divided by 19.
14
Let s(t) = 5*t**3 + 2*t + 2. Let q(i) = i**2 - 7*i - 2. Let o be q(8). Calculate the remainder when s(2) is divided by 100/o + (-10)/15.
14
Let x(g) = -5*g - 28. Let c(j) = -3*j + 24. Let o be c(12). Let d(t) = -3*t + 2. What is the remainder when x(o) is divided by d(-3)?
10
Suppose -9*d - 482 = -2984. What is the remainder when d is divided by 6?
2
Suppose 240 = -3*w + 7*w. Suppose -2*u - w = -7*u. Suppose 2*d - u + 8 = 0. What is the remainder when 7 is divided by d?
1
Let z = -3 + 7. Let h(q) = -37*q - 37. Let o be h(6). Calculate the remainder when o/(-28) + (-1)/4 is divided by z.
1
Let a be (-9)/(-15) + (-635)/(-25). Suppose 15 = a*q - 23*q. What is the remainder when 10 is divided by q?
0
Suppose 2*z = -z. Suppose z - 16 = -k. What is the remainder when k is divided by 9?
7
Suppose 2*n = 7*n - 360. Suppose 4*i - 3*i = 5*v - 90, -n = -4*v - i. What is the remainder when (-2)/(-5) + (-686)/(-10) is divided by v?
15
Let j(w) = -32*w - 4. Let h be j(-2). Suppose 0 = -2*p + 3*g + h, 2*p - 5*g = -3*p + 145. What is the remainder when p is divided by 14?
13
Let p(m) = 19*m**2 + 3*m - 1. What is the remainder when p(3) is divided by (((-375)/(-10))/5)/((-3)/(-18))?
44
Let a(w) = 5*w**2 - 5*w - 3*w - 4 - 4*w**2 + w. What is the remainder when a(9) is divided by 5?
4
What is the remainder when 922 is divided by 29/(203/168) - (2 + -6)?
26
Let h(k) = -k - 1. Let f(x) = -x**3 - x**2 + 7*x - 31. What is the remainder when f(-5) is divided by h(-6)?
4
Let v(m) = 3*m**2 + 13*m - 13. What is the remainder when 78 is divided by v(-7)?
35
Suppose b = 2*b + 5, -5*k = 2*b - 425. Suppose k = -4*z + 239. Calculate the remainder when 112 is divided by z.
36
Let t = 8 - -5. Suppose t + 11 = u. Let d = -56 + 59. What is the remainder when u is divided by d?
0
Let n(u) = 5*u + 5. Let w(r) = r. Let d(i) = n(i) + 2*w(i). Let k(a) = -4*a - 3. Let b(o) = -3*d(o) - 5*k(o). What is the remainder when 17 is divided by b(-7)?
3
Suppose 2*h = -2*o - h + 31, 0 = 5*o - 2*h - 49. Let p be (-6)/(-9) - 340/(-12). Suppose -47 = -4*q + p. Calculate the remainder when q is divided by o.
8
What is the remainder when 74 is divided by 47 + -21 - (1 - 0)?
24
Let j = 279 + -164. Let u = j + -111. Let t = 45 + -26. What is the remainder when t is divided by u?
3
Suppose 3*u + 4 = 124. Suppose -45 = -2*k - k. Let w = u - k. Calculate the remainder when 99 is divided by w.
24
Let a be -6 + 12/4 + 4 - -33. Let o = 51 - a. What is the remainder when 45 is divided by o?
11
Let p(r) = -4 + 11 - 14 - 6*r - 8*r. Suppose 10 - 43 = -3*o. Calculate the remainder when p(-2) is divided by o.
10
Let y = 850 - 280. Suppose 0 = -z + y + 741. Calculate the remainder when z/45 - (-2)/(-15) is divided by 10.
9
Let f = -11 - -14. Let i(o) = -5 + 12*o**2 - 2*o**2 - f*o + 7. Calculate the remainder when 16 is divided by i(1).
7
Suppose -3*v + 123 = -5*w, 25 + 16 = v - 5*w. Calculate the remainder when 113 is divided by v.
31
Let g = -93 - -99. Let x = 17 - g. What is the remainder when 18 is divided by x?
7
Let i = -92 - -109. Suppose z - 7 = i. What is the remainder when 65 is divided by z?
17
Suppose 2*o + 702 = 5*p, -7*o - 422 = -3*p - 6*o. Calculate the remainder when 444 is divided by p.
18
Let b = -41 - -77. Let a = b - 18. Let u(l) = -l - 5. What is the remainder when a