emainder when 12 is divided by c?
5
Suppose 5*i - 288 = -i. Suppose 0 = 4*l - 40 - i. Suppose -5*b = l - 107. Calculate the remainder when b is divided by 4.
1
Suppose -7*y + 385 = -357. Suppose -2*a - 115 = -7*a. Calculate the remainder when y is divided by a.
14
Let g be 3/(-9)*-3 + -2. What is the remainder when 100 is divided by (-33)/g - 0*(-10)/50?
1
Suppose -999 = -5*u + 4*n, 3*u + u - 801 = 5*n. Let o = u - 174. What is the remainder when 42 is divided by o?
17
Let y = -18 + -269. Let n = 385 + y. What is the remainder when n is divided by 30?
8
Let o(b) = -b**3 + 24*b**2 - 46*b + 46. Suppose -11*u = -19*u + 176. What is the remainder when 31 is divided by o(u)?
1
Let r(h) = 2*h**2 + 11*h - 147. Suppose 3*l = 5*n - 28, 2*n - 12 = -5*l + 24. Calculate the remainder when r(n) is divided by 18.
15
Let d(a) = -9*a**2 - 24*a + 4. Let q be d(-4). Suppose 11 = u - 19. What is the remainder when q*((-3)/4)/((-18)/(-30)) is divided by u?
25
Let b be ((-885)/(-20) - 0)/((-3)/36). Let o = 2 - 3. Calculate the remainder when o/(-2) + b/(-18) is divided by 12.
6
Let p(t) = -271*t + 1125. What is the remainder when p(-32) is divided by 213?
212
Let r(i) = 740*i + 4949. What is the remainder when 1567 is divided by r(-6)?
40
Calculate the remainder when 217 is divided by 2/(-4 + (-20)/(-6)) + (-248)/(-2).
96
Let n(h) = -h**3 + 46*h + 20. Let q be n(7). Let w(m) = -82*m**3 + 6*m + 5. What is the remainder when w(q) is divided by 29?
23
Let m = 305 - 321. Let h(c) = -4*c - 37. Calculate the remainder when h(m) is divided by 3.
0
Let g be (-8)/(-6)*(-186)/(-31). Suppose 2*c + g*c - 190 = 0. What is the remainder when 1/(1 + 148/(-150)) is divided by c?
18
Let y(g) = 8*g - 5. Let i be y(-5). Let r = i + 77. Suppose 101*t + 157*t = 577 + 1229. What is the remainder when r is divided by t?
4
Suppose -21879 = 20*z - 68159. What is the remainder when z is divided by 54?
46
Suppose 4*z = 2*t + 1128 - 1432, -4*t = 3*z - 608. Let a(c) = -10*c. Calculate the remainder when t is divided by a(-2).
12
Suppose 0 = -l, 5*s + 7*l = 10*l + 50. Suppose -s*c = 2*c - 348. What is the remainder when c is divided by 17?
12
Suppose 0 = 4*s - 2*g - 518 - 432, 215 = s - 5*g. Let n(o) = o**3 + o**2 + 35. Calculate the remainder when s is divided by n(0).
30
Calculate the remainder when ((-100)/(-9))/(37758/(-945) + 40) is divided by 52.
42
Let g(o) = 111*o**2 - 5*o - 263. What is the remainder when g(-9) is divided by 25?
23
Suppose -47*s - 899 = -1786 - 1651. What is the remainder when 11123 is divided by s?
53
Suppose 4*k - 12 = -0*k. Calculate the remainder when (61/(-7))/(k/(-21)) is divided by 21.
19
Suppose 255 = 5*f - 5*v, -f - 10 + 79 = -4*v. What is the remainder when 504 is divided by f?
9
Let h(f) = -f**2 - 8*f + 76. Let x = 210 - 223. Calculate the remainder when 62 is divided by h(x).
7
Let c = -142 + 777. Let k = c + -564. Calculate the remainder when 1064 is divided by k.
70
Let w = -2443 - -2492. Suppose -381 + 1 = -4*x. What is the remainder when x is divided by w?
46
Calculate the remainder when (-5)/2 - 791950/(-940) is divided by 125.
90
Let f(l) = l**2 - 420. Calculate the remainder when 1403 is divided by f(-21).
17
Let p(n) be the first derivative of 3*n**3 + 71*n**2/2 - 4*n + 85. Calculate the remainder when 30 is divided by p(-8).
2
Let y be ((-5)/(-3))/((-145)/(-87)). Calculate the remainder when 274 is divided by ((-134)/(-5))/y*(12 - 7).
6
Suppose 3*u = 20 + 1. Let g = -484 + 325. Let b = g - -165. What is the remainder when u is divided by b?
1
Let r(q) = 4*q + 1. Let l be r(1). Suppose 0 = -l*s + 38 - 3. Calculate the remainder when s is divided by -3*(-10)/(-7 - -2)*(-3)/6.
1
Suppose 1567 = 8*n - 465. Calculate the remainder when 748 is divided by n.
240
Suppose 3*u + 3*c + 48 = 0, c = -2*u - 13 - 22. Let h(o) = -o - 7. Calculate the remainder when 46 is divided by h(u).
10
Suppose 16*m + 5 = 5*p + 11*m, -4*p - 28 = 4*m. Let f(b) = -b**3 + b. Calculate the remainder when 239 is divided by f(p).
23
Suppose 2*t - t = 40. Let r = -1740 + 1165. Calculate the remainder when (0 - 1)/(-6 + (-3445)/r) is divided by t.
35
Suppose 3*u = -4*v + 4 + 20, -5*u + 11 = -3*v. What is the remainder when v/(-9) + 9/((-189)/(-805)) is divided by 9?
2
Let h = -3759 - -3801. Let o(i) = -23*i - 1. Calculate the remainder when h is divided by o(-1).
20
Let j be 22/((-2)/54*-6) - 3. Suppose -3*b + 9 = -5*c - 40, -2*b + 2*c + 38 = 0. Calculate the remainder when 244/(-1)*j/(-128) is divided by b.
22
Let v(g) = g**2 + 9*g + 47. What is the remainder when 6347 is divided by v(-11)?
68
Let x = -7872 + 7965. What is the remainder when 4833 is divided by x?
90
Let z be 36/(-96) - (-9541)/(-8). Let u = 1232 + z. Suppose -27 = -2*g - g. Calculate the remainder when u is divided by g.
3
Let d be 20 + -19 - (-3 - -1). Suppose 261 = d*w + z, -w + 5*z + 191 = w. Let s = w - 36. What is the remainder when s is divided by 27?
25
Calculate the remainder when 144/(48/3) + 2695 is divided by 63.
58
Let q = -1165 + 1196. Calculate the remainder when 8740 is divided by q.
29
Let b = -241 - -236. What is the remainder when 6 - (1 + 4 + b) is divided by 4?
2
Let l(v) = -2*v + 7. Let o be l(1). Suppose 5*p = -4*g, g = o*g + p. Suppose 0 = -f + 5, g = -a - f - 2*f + 34. Calculate the remainder when a is divided by 7.
5
Suppose -2*h - 96 = -2*d, 3*h = 2*d - 69 - 27. Calculate the remainder when 99 is divided by d.
3
Suppose 0 = 4*k - 3*n - 6084, 2*n = 227*k - 225*k - 3044. What is the remainder when k is divided by 8?
6
Let t(h) = h**3 + 10*h**2 + 3*h - 3. Suppose -38 = 6*d - 116. Calculate the remainder when t(-9) is divided by d.
12
Let r(a) = -a**3 + 64*a**2 - 49*a - 659. Calculate the remainder when r(63) is divided by 71.
10
Let i(o) be the first derivative of -2*o**3 - 2*o**2 + 3*o - 3. Let w be i(-3). Calculate the remainder when ((-14)/42)/(1/w) is divided by 13.
0
Suppose 5*s - 2*s - 308 = -s. Calculate the remainder when 283 is divided by s.
52
Let v = 413 - 144. Let o = v - 115. Calculate the remainder when o is divided by 39.
37
Let x(p) = p**3 + 17*p**2 - 186*p + 28. What is the remainder when x(-20) is divided by 22?
18
Suppose -3*w = 3, -98*w = -i - 100*w + 996. Calculate the remainder when i is divided by 20.
18
Calculate the remainder when 6626 is divided by 1114/20609 - 3474/(-74).
46
Calculate the remainder when 3350 is divided by ((-61)/(-7))/((-3 + 352/112)*1).
56
Let i(b) = -b**3 + 9*b**2 - 8*b - 9. Let t(v) = 19*v**2 - 67*v - 32. Calculate the remainder when i(7) is divided by t(4).
1
Suppose 425*m = 435*m - 1720. What is the remainder when 523 is divided by m?
7
Let j = 143 + -139. Suppose 0 = -j*z, -2*t + 0*z + 5*z = -6. Suppose -12*p = -8*p - 44. What is the remainder when p is divided by t?
2
Let u(o) = -o**2 - 13*o - 6. Let s = 5 - 15. What is the remainder when s*(0 + -1 - 2) is divided by u(-11)?
14
Let l(h) = -5*h**3 - h**2 - h + 2. Let y be l(-2). Calculate the remainder when y - (0 + -2*1) is divided by ((-78)/12 - -3)*(-3990)/931.
12
Let a(k) = k**3 - 7*k**2 - 9*k + 18. Let x be ((-3)/(-6))/((-1)/(-18)). Calculate the remainder when a(x) is divided by (-73)/(-3) + (-24)/(-36).
24
Calculate the remainder when 1823 is divided by (-1*48)/(-3)*(-135)/(-90).
23
Let t(b) = b**3 - b**2 + 65. Let u be t(6). Let k = -78 + u. What is the remainder when k is divided by 45?
32
Suppose 5*q - 32 = 4*f, -2*f - 3 - 3 = 0. Suppose q*i = -95 + 295. Calculate the remainder when -1 - (0 + -105 + 5) is divided by i.
49
What is the remainder when 800 is divided by -11 + (4 + 0)*37?
115
Let p be (-3273)/5 - 3/(-5). Calculate the remainder when 48 is divided by p/(-26) + (-4)/26.
23
Suppose 7*a - 12*a = -5. What is the remainder when 19*(-1 - -4)*a is divided by 20?
17
Let v be 4*(-1 + 3)*-10. Let d = 312 + -194. Let u = v + d. Calculate the remainder when u is divided by 22.
16
Suppose -4*q - 72 = -4*o, -o + 29*q + 50 = 32*q. Calculate the remainder when 569 is divided by o.
23
Suppose 3*b - 6*l + l = 272, 2*b = -4*l + 218. Calculate the remainder when 501 is divided by b.
6
Let u(x) be the first derivative of 17*x**4/4 + 2*x - 315. Calculate the remainder when 2/3 - (-462)/9 is divided by u(1).
14
Let s = -3 + 13. Suppose -70314*i + 70297*i = -1989. What is the remainder when i 