d + 4. Calculate the remainder when 84 is divided by d.
18
Suppose 3*a = 2*j - 15, 0*j + 12 = -j - 5*a. Suppose -j*b + 35 = 5*y - 2*b, y = -5*b - 17. What is the remainder when (26/3)/((-2)/(-3)) is divided by y?
5
Let q = -1573 + 1607. Let v(n) = -n**2 - 6*n - 2. Let b be v(-4). Let p = -2 + b. Calculate the remainder when q is divided by p.
2
Let c(a) = -a**3 - 31*a**2 + 91*a + 1250. What is the remainder when c(-34) is divided by 10?
4
Calculate the remainder when 649 is divided by (32/7)/(2 + 132/(-77)).
9
Suppose -86 = 69*f - 70*f. What is the remainder when f is divided by 82?
4
Let u(z) = 4*z - 140. Let w be u(35). Suppose -21*t + 189 + 42 = w. What is the remainder when 118 is divided by t?
8
Let b(o) = 24*o**3 + 313*o**2 - 6*o - 52. What is the remainder when 1694 is divided by b(-13)?
134
Suppose 17*g = 21*g + 3*n + 7, -3*g - 7*n - 48 = 0. What is the remainder when 279 is divided by g?
4
Suppose -85 = -4*c - g + 4*g, -4*c + 90 = -2*g. Let d be ((-8)/14)/((-11)/77). Calculate the remainder when (-16)/d + (7 - -121) is divided by c.
24
Calculate the remainder when -13 - (-104)/13 - -677 is divided by 332.
8
Let y = 900 + -910. What is the remainder when (y/60 + (-465)/18)/(-1) is divided by 2?
0
Suppose -p + 63 = 2*c, -1 + 13 = 3*c. Calculate the remainder when 183 is divided by p.
18
Let q(h) = 4*h**2 - 13*h + 31. Let b(g) = -g**2. Let v(p) = 3*b(p) + q(p). Let o be v(8). Let l = -6 - o. What is the remainder when 24 is divided by l?
0
Let m(c) be the third derivative of -c**6/120 + c**5/15 + c**4/12 - c**3/2 - c**2. What is the remainder when 19*(-13 - -12) - -33 is divided by m(4)?
4
Suppose 21*u + 388 = 72*u - 1754. Let i = -59 - -102. Calculate the remainder when i is divided by u.
1
Let d(q) = 4*q**2 - 508*q + 321. Calculate the remainder when d(127) is divided by 64.
1
Let j = -1079 + 647. Let t be 2/8 - j/64. Suppose -2*q + 89 = 5*l, -4*q - 6 = -t*q. Calculate the remainder when 67 is divided by l.
16
Suppose 5*b - 228 = -2*u + 21, 4*u - b - 421 = 0. What is the remainder when 5990 is divided by u?
105
Suppose -130 = 5*m - 10*m. Let n(f) = f**2 + 128*f + 1281. What is the remainder when n(-118) is divided by m?
23
Let g(b) = -98*b**3 - b**2 + b + 2. Let y(p) = -p**2 + 9*p + 35. Let s be y(12). What is the remainder when g(s) is divided by 33?
32
Let v(z) = -z**2 - 5*z - 3. Let x be v(-3). Suppose -5*n = 3*k - 0*k - 3, x*n = 5*k + 29. Let l = -205 - -216. Calculate the remainder when l is divided by n.
2
Suppose -2*h + 274 = f - 6, 0 = h + 5*f - 140. Calculate the remainder when 417 is divided by h.
137
Let q = -77 - -223. Calculate the remainder when q is divided by 141.
5
Let n = -26726 - -27365. Calculate the remainder when n is divided by 157.
11
Suppose 37*f - 23*f = 910. Calculate the remainder when (-1707)/(-5) - 26/f is divided by 19.
18
Suppose -123*p = -129*p + 24. Suppose -8*g = -p - 52. What is the remainder when (-1526)/(-56) - (-1)/(-4) is divided by g?
6
Let y(a) = 11*a**2 - 6. Let b(o) = -148*o**2 - 2960*o + 18. Calculate the remainder when y(5) is divided by b(-20).
17
Let b = -4318 + 5084. What is the remainder when b is divided by 70?
66
Let u(o) = 4*o**3 + o**2 + o - 1. Let a be u(1). Suppose a*h - 5*b = -4*b + 356, 0 = 5*h - 2*b - 352. Calculate the remainder when h is divided by 7.
2
Let z(u) = 27*u**2 - 188*u - 1364. What is the remainder when z(-7) is divided by 61?
55
Suppose 2*l + 49 = 5*b, 3*l = 4*b - 0*l - 42. Suppose a - 7*a + 792 = 0. Suppose -b*t + 12*t = a. Calculate the remainder when t is divided by 23.
21
Let w(y) = y**2 + 56*y - 2 - 1 - 60*y + 7*y**2. What is the remainder when 19 is divided by w(-1)?
1
Let z = -341 + 336. Suppose -2*m + 4*m = 100. Let x = m + z. Calculate the remainder when x is divided by 13.
6
Let k = -32733 - -33052. What is the remainder when k is divided by 52?
7
Let a = 349 + -345. Suppose 4*j = -a*x + 72, -4*j + 2*x + 8 = -40. Calculate the remainder when 41 is divided by j.
13
Suppose 0 = 5*j + q + 6, -j - 15 = -4*q + 3. What is the remainder when (70 - j)/((-12)/(-40)) is divided by 61?
57
Suppose 137*j - 142512 = 155737. Calculate the remainder when j is divided by 18.
17
Suppose l - 178 = -2*l + 5*f, -3*l = 5*f - 128. Calculate the remainder when (-20)/35 + 6492/42 - 5 is divided by l.
47
Suppose -15*z = -18*z + 2*a + 835, 2*a = -3*z + 827. Suppose 5*b + 0*b - 354 = 4*s, -3*b + 209 = s. Calculate the remainder when z is divided by b.
67
Calculate the remainder when 18/(-24) + (8/28 - (-25239)/84) is divided by 101.
98
Suppose -12 = 11*i - 7*i, i - 1461 = -4*q. Suppose -5*n = -q + 11. Calculate the remainder when 208 is divided by n.
66
Suppose -g = 1, 2*g = -3*o + 6*g + 76. Suppose 2*s = o - 10. Let a = s - -24. What is the remainder when a is divided by 18?
13
Let n = 20 - 12. Suppose -65 = -3*c - n. Let m(w) = 11*w - 7. Calculate the remainder when m(7) is divided by c.
13
Let n = -83 - -446. Calculate the remainder when n is divided by (15 + 195/78)*(-72)/(-45).
27
Calculate the remainder when 1816 is divided by (-4416)/(-768) - (-6)/(-8).
1
Suppose 5*l - 922 - 6070 = 2*n, -n = -2*l + 2798. Calculate the remainder when l is divided by 191.
59
Let m(j) = -6*j**3 - 4*j**2 - 3*j + 1. Let s = 51 + 367. Suppose 33 = -11*f + s. What is the remainder when m(-3) is divided by f?
31
Let q be 3/(-12) - (-159)/12. Suppose -4*f - q = -137. Let x = 9774 - 9763. What is the remainder when f is divided by x?
9
Suppose 0 = -36*y + 119 + 1753. Calculate the remainder when 11074 is divided by y.
50
Let c = 18445 + -17023. What is the remainder when c is divided by 17?
11
Let r = 313 + -172. Let y = 254 + r. Suppose -4*h + 748 = -4*i + 240, -3*h + y = 4*i. What is the remainder when h is divided by 45?
39
Suppose 4*r = 5*z + 2*r - 9, -4*z = 2*r - 18. Suppose -74 = -2*l + k, 5*l = -z*k - k + 172. What is the remainder when 250 is divided by l?
34
Let j be -2 + 20 + -4 - 0. Let r be (-16)/(-56)*j/2. Suppose -46 = -3*f - 4*n, 67 = -r*f + 7*f - 3*n. Calculate the remainder when f is divided by 4.
2
Let u(v) = -43*v + 3*v**2 - 9 - 32*v - 61 - 5*v**2. Calculate the remainder when u(-35) is divided by (-2)/8 + 327/12.
24
Let q = -32691 - -32729. Let h(n) = n**2 + 10*n + 8. Suppose w + 20 = -w. Calculate the remainder when q is divided by h(w).
6
Suppose -2*r = -2*k - 178, 67 = -3*k + 52. What is the remainder when 158 is divided by r?
74
Let u(d) = -31*d + 7. Let r be u(13). Let s = -381 - r. What is the remainder when 1034 is divided by s?
14
Let t = -8166 + 8371. Calculate the remainder when t is divided by 124.
81
Let j(b) = -53*b - 3953. What is the remainder when 1556 is divided by j(-75)?
16
Let s(l) be the third derivative of l**5/60 - 9*l**4/8 - 15*l**3 + 50*l**2 - 2*l. Calculate the remainder when 122 is divided by s(-4).
20
Let x(l) = 5*l - 4 + 6*l - 12*l. Let c be x(2). Let w(j) = j**3 + 6*j**2 - 8*j - 3. What is the remainder when w(c) is divided by 24?
21
Suppose 11*y - 11 = 66. Let s(q) = 7*q - 37. Let g be s(y). Suppose 30 = 6*a - g. What is the remainder when 11 is divided by a?
4
Suppose -31*d - 36*d = -14*d - 52046. Calculate the remainder when d is divided by 62.
52
Calculate the remainder when 6/15 - (-566825)/125 is divided by 108.
107
Let t be (160/(-25))/((8/(-110))/4). Let p = -309 + t. Calculate the remainder when p is divided by 3.
1
Let i(j) = -j**3 + 187*j**2 + 198*j - 1780. Calculate the remainder when 15695 is divided by i(188).
95
Let w be (-151)/(-2) - (6/(-3))/(-4). What is the remainder when 150 is divided by w/2 + (5 - (-27)/(-6))?
36
Suppose 0 = f - 52 + 10. Let q(x) = -x**3 - 5*x**2 - 34*x - 449. Calculate the remainder when f is divided by q(-8).
12
Suppose -31*u = -29907 - 9587. Calculate the remainder when u is divided by 17.
16
Suppose -7*r - 18876 = -19*r. What is the remainder when r is divided by 83?
79
Suppose 2*t - 2 = 2. Suppose -132 = -t*i - 54. Let f(x) = -13*x + 742. What is the remainder when i is divided by f(56)?
11
Let q = -6456 + 6613. What is the remainder when 310 is divided by q?
153
Let i = 200 - 366. Calculate the remainder when i*(42/(-12))/7 is divided by 29.
25
Suppose -6*f = 310 + 542. Let h = f + 259. Calculate the remainder when h is divided by 30.
27
What is the remainder when 1182 is divided by 9 - (1 - -1 - (-96)/