Suppose 384 = 5*h + 139. Let t(r) = -217*r. Let i(p) = -9*p. Let d(b) = h*i(b) - 2*t(b). Calculate the remainder when d(-3) is divided by 8.
5
Suppose 1 = -i + 1. Suppose -3*u + 5*u - 52 = i. Calculate the remainder when u is divided by 7.
5
Let b(p) = -2*p + 643. Calculate the remainder when b(56) is divided by 12.
3
Suppose 7*o + 562 = 205. Let z = 54 + o. Suppose -3*n + 2 = -10. Calculate the remainder when n is divided by z.
1
Let j be (-3)/4*(-6 + 2). Suppose 0*z = -j*z + 93. Calculate the remainder when z is divided by 9.
4
Suppose 4*k - 239 = -79. Suppose -n + k = 3*n. Suppose -48 = -2*r - 14. Calculate the remainder when r is divided by n.
7
Suppose -1650 + 1655 = r. Let c be -2 + 5 + 1/1. Suppose 21 = c*f - 11. Calculate the remainder when f is divided by r.
3
What is the remainder when 115 is divided by 3/(-11 - -8) - -32?
22
Let j(h) = 38*h**2 + 6*h. Let d be j(-2). Suppose 79*c = 74*c + d. Calculate the remainder when c is divided by 11.
6
Let a(r) = -r**3 + 9*r**2 + 6*r + 10. Let h be a(9). Suppose h = -b + 5*b. What is the remainder when 1/((-1)/(-48)) - 2 is divided by b?
14
Let w(c) be the second derivative of c**3/2 + 2*c**2 - 2*c. Let l be -2 + (4 - 2) + 4. What is the remainder when 61 is divided by w(l)?
13
Let z = -153 - -202. What is the remainder when z is divided by 39?
10
Let h = -8 + 8. Suppose -7*a + 161 = -h*a. What is the remainder when a is divided by (-44)/(-5) - 1/(-5)?
5
Let t be 6/2 + -6 - 1. Let j(m) = -12*m - 2. Let c be j(t). Suppose -k = 5*w - 41, 0 = k + k + w - c. Calculate the remainder when 41 is divided by k.
20
Suppose -12*j = -7*j - 115. Let t = 27 - j. Calculate the remainder when 16 is divided by t.
0
Let q(u) = 2*u**2 - 6*u - 24. Let g be q(7). Let l = 53 - g. Suppose 0 = z + 5*t - 66, t + 417 = 5*z - 3*t. What is the remainder when z is divided by l?
18
Let q be 2/((-3 + 0)/12). Let i be (q - -9)/((-2)/2). Calculate the remainder when 14 is divided by (i - -2) + (-3)/(-1).
2
Suppose 0 = -8*d + 302 + 474. What is the remainder when d is divided by 79?
18
Let z be 6 + -3 + -5 + -1. What is the remainder when 79 is divided by 20/z*((-3)/1)/1?
19
Let q(a) = 2*a**3 - 43*a**2 + 20*a + 47. What is the remainder when 97 is divided by q(21)?
19
Let a be 5 + (-114)/42 + 2/(-7). Suppose 2*c - 2*i - 46 = 0, 0*i = a*c - i - 46. Calculate the remainder when 112 is divided by c.
20
Suppose 28*t = 2*t + 260. What is the remainder when 98 is divided by t?
8
Let k(w) = 15*w. Suppose -5*q + i + 0 = -12, -2*i = -2*q + 8. Calculate the remainder when k(q) is divided by 16.
14
Let a(k) = -k**2 + 2*k + 4. Let y be a(3). Let i be 2 + (-3 + y - -3). What is the remainder when 43 is divided by 69/i - (4 + -3)?
21
Let z be ((-12)/8)/(9/(-66)). Suppose -z = -3*q + 28. Calculate the remainder when 19 is divided by q.
6
Let p = 20 - 13. Suppose 4*z = -20, -z + 0 = -5*w + 5. Suppose 4*h + 0*l = 2*l + 66, w = -l + 1. What is the remainder when h is divided by p?
3
Let m(x) = -x**3 - 3*x**2 - 11*x + 2. Let q(y) = y**2 + 2*y + 1. What is the remainder when m(-4) is divided by q(-5)?
14
Let w = -18 - -27. Let c be (-4)/3*(-6)/(-2). Calculate the remainder when (-1225)/(-28) + (-1)/c is divided by w.
8
Suppose -5 = y + p - 10, 5*y - 2*p - 18 = 0. What is the remainder when 54 is divided by y?
2
Let l(x) = -13*x**3 - 2*x**2 - 6*x - 15. Calculate the remainder when l(-2) is divided by 20.
13
Suppose 13*z + 7*z = 160. Let k(v) be the first derivative of -3*v**2/2 + 8*v - 1. Calculate the remainder when k(-7) is divided by z.
5
Suppose -2*a + 4 = -148. What is the remainder when a is divided by 12?
4
Suppose -7*z = -8*z + 4*v + 36, 2*z + v = 54. Let a = z + -18. Let m = 13 - a. Calculate the remainder when 4 is divided by m.
1
Let c(k) = k**3 - 16*k**2 - 37*k + 29. What is the remainder when 28 is divided by c(18)?
6
Suppose 0 = 7*r - 23*r + 272. What is the remainder when r is divided by 9?
8
Let m(v) = -v**2 - v - 1. Let t(c) = 4*c**2 - 5*c - 7. Let p(y) = 5*m(y) + t(y). What is the remainder when p(-7) is divided by 7?
2
Let h(t) = -2*t - 7. Let o be h(-5). Suppose -2*j - 3*j = -o*w - 295, 5*w - 273 = -4*j. Let l = j + -39. What is the remainder when 90 is divided by l?
21
Let q = 3 + -9. Let s(f) = 2*f + 1. What is the remainder when ((-3)/q)/((-5)/(-150)) is divided by s(4)?
6
Suppose q + 160 = 3*i, -5*q - 43 = -4*i + 185. What is the remainder when 257 is divided by i?
49
Let u = -9 + 9. Suppose u*x - 3*x + 121 = g, 0 = 3*x + 2*g - 122. What is the remainder when x/14*35/10 is divided by 4?
2
Suppose 15 = 3*x - 4*x - 5*r, 15 = -5*x - 5*r. Suppose x*m - 4*m = -80. What is the remainder when m is divided by 7?
6
Suppose 0*l - 26 = -3*a + 2*l, 5*l = -5*a + 35. Suppose 0 = a*u - 207 - 185. Calculate the remainder when 97 is divided by u.
48
Let v be ((-16)/12)/((-5)/(-15)). Calculate the remainder when (-134)/v - 5/(-10)*-3 is divided by 6.
2
Suppose 0 = -5*b + 3*d - 70, -5*b - 2*d - 6 = 64. What is the remainder when 267 is divided by 3/1 - 7/(b/102)?
51
Suppose -25 + 0 = -5*d. What is the remainder when d is divided by (-60)/(-24) - (15/(-6) - -2)?
2
Let i(m) be the second derivative of 8*m - 1/12*m**4 + 3/2*m**2 + 5/6*m**3 + 0. What is the remainder when 18 is divided by i(4)?
4
Let j be -8 + 5 + 2 - -10. Let t = 18 - 10. What is the remainder when (0 - -54)/(-7 + j) is divided by t?
3
Calculate the remainder when 479 is divided by 0 + 5 - 459/(2 + -5).
5
Let b = -71 + 73. Suppose b*p = -2*o - 2*o + 2, 4*o = 3*p - 13. Calculate the remainder when 5 is divided by p.
2
Let i(a) = a**2 - 17*a - 30. Let d be i(15). Let w = 23 - d. What is the remainder when w is divided by 21?
20
Let k be (-3)/(((-21)/38)/7). Suppose 14 + k = 4*b. Calculate the remainder when 64 is divided by b.
12
Suppose 2*d + 5*f - 42 = 9, -4*d + 77 = 5*f. Suppose -10*p = -557 - d. Calculate the remainder when p is divided by 12.
9
Let r = 1712 + -1701. Calculate the remainder when 1877 is divided by r.
7
What is the remainder when (3 - 15)/(-36) + (-1835)/(-3) is divided by 41?
38
Let n(y) = 11*y**2 + 2*y + 1. Let o be n(-2). Suppose f - 18 = o. Calculate the remainder when f is divided by 10.
9
Suppose -5*q + 15 = -5*z - 110, -70 = -2*q - 2*z. Let h = -3 - 8. What is the remainder when h/(21/24 - 1) is divided by q?
28
Suppose 8 + 8 = 2*h - 2*v, 5*v + 34 = 3*h. Let l = -2392 - -2395. Calculate the remainder when h is divided by l.
0
Let q(b) = -24*b + 3. Let g be q(-2). Suppose -n = -g + 29. What is the remainder when 38 is divided by n?
16
Let m(k) = k**2 + 15*k + 1. Calculate the remainder when 1154 is divided by m(4).
76
Let r(d) = d - 3. Let n be r(3). Let i = n + 21. Suppose -206 = -2*o - 4*x, -7*o + 3*o + 2*x = -412. What is the remainder when o is divided by i?
19
Suppose 105 = 3*z - 4*w + 9*w, -2*z - 5*w = -75. What is the remainder when 208 is divided by z?
28
Let n = -2098 + 2109. Calculate the remainder when n is divided by 6.
5
Let a(u) = -2*u - 18. Let d be a(-12). Suppose 124 = d*t - 128. What is the remainder when t is divided by 15?
12
Let s be 0 - (20/(-5) + -5). Suppose -2 = c, h + 2*c + 0*c - s = 0. Calculate the remainder when 39 is divided by h.
0
Let t = 118 + -96. Calculate the remainder when 189 is divided by t.
13
Suppose -6*q + 31 + 125 = 0. What is the remainder when 174 is divided by q?
18
Suppose 0 = 12*a - 57 - 63. Calculate the remainder when 34 is divided by a.
4
Calculate the remainder when 136 is divided by 284/10*285/114.
65
Suppose -10*p - 720 = -58*p. Calculate the remainder when 83 is divided by p.
8
Suppose -2*p = 5*d - 84, 0 = -2*d - p + 40 - 6. Calculate the remainder when 52 is divided by d.
4
Suppose -22*y = -21*y + 8. Let z(o) = o**2 + 11*o + 25. What is the remainder when z(y) is divided by 1?
0
Let q be 10/(-8) + (1 - (-18)/(-24)). Let g = 0 + 5. Calculate the remainder when (((-207)/4)/(-9))/(q/(-4)) is divided by g.
3
Let q be 301 - -20 - 2*-1. Suppose -5 = 2*o - q. Calculate the remainder when o is divided by 40.
39
Suppose 6*g - 30 = -6. Suppose 0 = 3*d - g*d + 144. Let x = d + -34. Calculate the remainder when x is divided by 28.
26
Suppose 447*b = 435*b + 252. What is the remainder when b is divided by 14?
7
Let w(m) = -2*m - 9. Let p = 6 + -13. What is the remainder when 8 is divided by w(p)?
3
Let d = -2