ppose -b*r + 27 = 4*n - 57, -4*r = n - 32. Calculate the remainder when n is divided by 9.
7
Let a(d) = d**3 + 7*d**2 - 4*d - 25. Suppose 5*q = 45 + 55. Let h = q - 9. What is the remainder when h is divided by a(-7)?
2
Let d(k) = 8*k - 55. Suppose -30 = -2*z - 2. What is the remainder when d(z) is divided by 12?
9
Let h be 4*-1 - 1/(-1). Calculate the remainder when (-72982)/(-858) - (-6)/(-99) is divided by (h/(-2))/((-12)/(-176)).
19
Let z = -5 - 3. What is the remainder when (81 - 4) + 6/z*-4 is divided by 23?
11
Let b = -159 - -394. Suppose -3*p + 2*f + b = 0, -2*p + 155 = 2*f - 3*f. Let x = 22 + p. Calculate the remainder when x is divided by 33.
31
Suppose 5*v = -x + 109, 3*x - 6*x + 4*v + 403 = 0. What is the remainder when x is divided by 61?
7
Suppose -8*j + 3*j - 2*k + 1796 = 0, 4*j + 2*k = 1436. What is the remainder when j is divided by 112?
24
Let n = 5 - 1. Suppose 4*i - 18 = -2*j + j, -2 = -2*i + 3*j. Suppose -3*m - i*x + 38 = 0, 5*m - 80 - 6 = -x. What is the remainder when m is divided by n?
2
Suppose 0 = -4*z + 6*z - 74. Let k = z + -25. Suppose r - b = 4*b + 48, -5*r - 3*b + 156 = 0. Calculate the remainder when r is divided by k.
9
Suppose 0*t - t - 106 = 5*g, 3*t + 5*g + 278 = 0. Let q = t + 130. Let k = -29 + q. Calculate the remainder when 58 is divided by k.
13
Let r = 164 + -156. What is the remainder when 94 is divided by r?
6
Suppose -28*q = -29*q + 3. Calculate the remainder when 42 is divided by -3*(q - (-80)/(-12)).
9
Let z(u) = -8*u + 17. What is the remainder when 101 is divided by z(0)?
16
Let o(c) = -c**2 - 4*c. Suppose 0 = -3*k - 3*j - 141, -5*j = -2*k - j - 82. Let p be (12/10)/(18/k). What is the remainder when 4 is divided by o(p)?
1
Suppose 34*w - 27*w - 35 = 0. Let p be (6 + 0)/(2/31). What is the remainder when p/7 + 2/(-7) is divided by w?
3
Let x(d) = 5 + 2*d**2 - 6 - d**3 + 5*d**3. Let n be x(1). Suppose -4*a + 16 = -n*w + w, a = 5*w - 16. Calculate the remainder when a is divided by 4.
1
Let f = -50 - -76. Let u = -11 - f. Let k = 55 + u. What is the remainder when 87 is divided by k?
15
Let l = 658 + -547. Calculate the remainder when l is divided by 31.
18
Suppose -5*d = -2*d + 21. Let s = d - 3. Let n = 64 + s. What is the remainder when n is divided by 11?
10
Suppose -8*t = 35*t - 4558. What is the remainder when 106 is divided by t?
0
Let n(f) = f**2 - 4*f - 3. Suppose -2*a + 2 + 2 = 4*o, 3*a + 1 = o. What is the remainder when n(-4) is divided by (-4)/2 + (11 - o)?
5
Calculate the remainder when ((-3320)/(-50))/2 + (-1)/5 is divided by 3.
0
Let y be (-2)/7 + ((-24)/14 - 0). Let c(n) = -38*n - 3. Calculate the remainder when c(y) is divided by 19.
16
Calculate the remainder when 34 is divided by (4/40*5)/((-3)/(-138)).
11
Let o(h) = 2*h**2 + 17*h - 51. What is the remainder when 243 is divided by o(-13)?
45
Let f(t) = 3*t**2 - 44*t - 241. Calculate the remainder when f(-6) is divided by 20.
11
Let r(y) = 46*y - 111. Calculate the remainder when r(4) is divided by 38.
35
Let o(u) = 72*u**2 + 26*u + 48. Calculate the remainder when o(-2) is divided by 11.
9
Let v(p) = -2*p**3 + 41*p**2 + 25*p - 69. What is the remainder when 404 is divided by v(21)?
14
Suppose 4*q - 437 = -45. Let p = 81 + -16. Let v = q - p. Calculate the remainder when v is divided by 17.
16
Let p = 0 + -7. Let z = p - -21. Calculate the remainder when -3*(-3 + 1 + (-102)/9) is divided by z.
12
Suppose 27 = -4*c - 5*r, -5*c - 6 = -2*r + 3. Let i = 3 - c. Calculate the remainder when 23 is divided by i.
5
Let d(k) = 4*k**2 - 9*k + 9. Calculate the remainder when 66 is divided by d(2).
3
Suppose d = -5*x + 55 + 286, d = 3*x - 211. Calculate the remainder when 757 is divided by x.
67
Suppose -17 = -9*f + 73. Suppose -4*g + 6 + f = 0. Let a = 27 - 16. Calculate the remainder when a is divided by g.
3
Suppose -3*n + 5*c = -329, 0*c = -2*n - 5*c + 236. Calculate the remainder when n is divided by 44.
25
Suppose 6*v + 27 - 273 = 0. What is the remainder when 160 is divided by v?
37
Suppose -4 = -3*p - 2*q, -31*p + 4*q = -28*p - 10. Let z = -3 + 4. Let u = 1 + z. What is the remainder when u is divided by p?
0
Suppose 17*x - 110 = 43. What is the remainder when x is divided by 7?
2
Let o = 8 + -2. Suppose -3*y + 3*j + 114 = 0, 0 = -10*y + 7*y - 3*j + 96. Calculate the remainder when y is divided by o.
5
Let c be 792/11 - 0/1. Let h = c - 52. Calculate the remainder when h is divided by 7.
6
Suppose 13 = 2*l - 53. What is the remainder when (-21)/(-2)*((-16)/8 + (-54)/(-7)) is divided by l?
27
Let j(o) = 66*o + 542. Calculate the remainder when 84 is divided by j(-7).
4
Let x be (-12)/(-10)*(-1)/(12/(-210)). Suppose -x*j = -22*j + 18. What is the remainder when 51 is divided by j?
15
Let r = -14 + 15. Let l be 4 + (-3 - -2) + r. Suppose -f = l*v - 0*f - 26, -8 = -4*f. Calculate the remainder when 11 is divided by v.
5
Let i = 1469 - 1379. What is the remainder when 268 is divided by i?
88
Let k(t) = t**2 - 8*t + 4. Suppose -20 = 4*i + i. What is the remainder when k(i) is divided by 19?
14
Let s(p) = -p**2 + 11*p + 48. What is the remainder when 31 is divided by s(13)?
9
Let y = -231 - -256. Suppose z - d + 2 = -3*z, d = z - 1. Calculate the remainder when y is divided by (1*-9 + 2)/z.
4
Let i = 8 + 7. Let f = 102 - 92. What is the remainder when i is divided by f?
5
Let j(o) be the third derivative of -o**4/12 + 11*o**3/6 + 13*o**2. Calculate the remainder when 19 is divided by j(0).
8
Let t = 230 + -195. Calculate the remainder when t is divided by 2.
1
Let f = -29 + 34. Suppose 3*a = w + 42, f*a + 5*w - 53 = w. Suppose 0 + 120 = 5*g. Calculate the remainder when g is divided by a.
11
Suppose 7 = h + 42. What is the remainder when (-430)/h + (-4)/14 is divided by 5?
2
Let x(y) = 2*y**2 - y. Let r be x(3). Let b = -11 - r. Let m = -13 - b. Calculate the remainder when 64 is divided by m.
12
Let m(v) = v**3 - 7*v**2 + v - 5. Let b be m(7). Let y(j) = 2*j**b - 10*j**2 + 3*j - 7*j - j**3 - 4*j. What is the remainder when 12 is divided by y(-7)?
5
Let h(j) = 1 + 7*j**2 - 6 - 3*j**3 - 3*j + 11*j + 4*j**3. Let k be h(-6). Let n = 54 + k. What is the remainder when n is divided by 13?
11
Suppose -4*x - 33 = -3*s, 4*x + 30 = 4*s - 6. Suppose v - 2*k - 4 = 5*v, -v - 11 = -2*k. What is the remainder when 43 is divided by 3/x*v*10?
13
Let y(r) = r**3 - 7*r. Calculate the remainder when y(5) is divided by 20.
10
Let s(t) = 38*t**2 + 7*t + 5. Let p be s(-4). Suppose -p = -6*l + l. Suppose -95 = -4*w + l. Calculate the remainder when w is divided by 18.
17
Let z(b) = -b**3 - 8*b**2 + 5*b + 8. Let w be z(-9). Suppose w = 11*n - 9*n. What is the remainder when n is divided by 12?
10
Suppose -5*p + 7*p = 132. Suppose -16*c - p = -18*c. Calculate the remainder when c is divided by 7.
5
What is the remainder when ((-6)/(-4))/((2457/(-1722))/(-39)) is divided by 19?
3
Let c(y) = 3*y**2 + 20*y + 27. What is the remainder when 73 is divided by c(-6)?
13
Let d = 5280 + -3742. What is the remainder when d is divided by 44?
42
Let v(p) = 4*p + 55. Let i be v(-13). Suppose 152 = i*j - j. What is the remainder when j is divided by 27?
22
Let h(o) = 7*o**2 + 2*o - 1. Let j be h(-1). Suppose 10 = -m + 2*m. Calculate the remainder when (54/j)/(2/(-8)*-2) is divided by m.
7
Suppose -2*p = 4*p - 102. Calculate the remainder when 74 is divided by p.
6
Suppose -355 + 2038 = 17*b. Let j = 166 - b. Calculate the remainder when j is divided by 7.
4
Let j = -325 - -464. Calculate the remainder when j is divided by 33.
7
Suppose 3*h + f - 39 = 322, f + 5 = 0. Calculate the remainder when h is divided by (-8)/(-32)*(-492)/(3/(-1)).
40
Let i(c) = -2*c + 4. Let x be i(0). Suppose x*u = 5*u - 8. What is the remainder when 22 is divided by u?
6
Let o = -44 + 82. Calculate the remainder when o is divided by 11.
5
Let k = 3 - 52. Let n = -28 - k. Suppose -6*o + 36 + 42 = 0. Calculate the remainder when n is divided by o.
8
Calculate the remainder when 3/(-5) + 44352/320 is divided by 47.
44
Suppose 4*f + 3*p - 1302 = 0, 5*p + 7 = -3. Suppose 0 = -7*x + f + 492. What is the remainder when x is divided by 30?
27
Let o(w) = -w + 70. What is the remainder when o(28) is divided by 15?
12
Let k = 56 - 37. Let n(b) = b**2 + 12*b + 13. Let h be n(-11). Suppose -h*m = 3*m - 275. What