- 21*m + 6. Let c = 18 - 39. Let f be o(c). Suppose -3*p - f*p + 306 = 0. What is the remainder when p is divided by 7?
6
Let b be (-140)/(-5) + -4 + 2 + 4. Let r = 41 - b. Let i = 122 - 71. What is the remainder when i is divided by r?
7
Suppose 4*j + 616 = 26*j. Calculate the remainder when 210/(-3)*(-6)/5 is divided by (j - (-2)/(-2)) + 148/74.
26
Let m(b) be the second derivative of b**3/6 + 3*b**2 + 18*b. Suppose -t = 3*h + t - 4, -4*t = 3*h + 4. What is the remainder when m(h) is divided by 3?
1
Calculate the remainder when 321 is divided by (351/(-6))/(66/(-88)).
9
Let l = -171 - -175. Suppose 3*k - 3 = 4*k, l*k + 52 = 4*z. Suppose 0*w = -2*w + 254. What is the remainder when w is divided by z?
7
Let y(o) = -83*o + 15. Let b be (2 - 6)*(-6 + 65/10). Calculate the remainder when y(b) is divided by 17.
11
Let c(v) = -v**3 - 7*v**2 + 6*v - 18. Let p be c(-8). Let q be 4*(149 - (-4 + 9 + p)). Calculate the remainder when (8/(-32))/((-2)/q) is divided by 19.
16
Let y = -505 + 360. Let r = y - -330. Suppose -4*u - 5*i = -r - 7, 4*i - 188 = -4*u. What is the remainder when u is divided by 17?
9
Let g(h) = -10 - 17*h + 17*h - 35*h + 53 - 343. What is the remainder when 106 is divided by g(-9)?
1
Let b(n) = 5*n**3 + 2*n**2 - n + 2. Let m be b(-2). Let v = m + 66. Let g = v - 35. What is the remainder when 6 is divided by g?
0
Let a be (-1)/(-4) - 59/(-4). Let z = -5062 + 5078. Suppose a*r - z*r = -3. Calculate the remainder when r is divided by 2.
1
Let j = -13 + 58. Let t(i) = 2*i**2 - 15*i + 21. Let o be t(9). Suppose -f - o = -4*l, 0 = -l + 4*l - 4*f - 36. What is the remainder when j is divided by l?
9
Let c = -795 - -1121. What is the remainder when 1584 is divided by c?
280
Let z(y) = y**3 + 9*y**2 + 7*y - 11. Let h be z(-6). Let i = -39 + h. Suppose i*t + 42 = 18*t. Calculate the remainder when t is divided by 11.
10
Let c(f) = 267*f**3 + 8*f**2 + 13*f - 46. Calculate the remainder when c(2) is divided by 45.
33
Suppose 2*r = 3*g - 431, 2*g + 5*r - 291 = -29. Suppose -3*z - 4*s - 417 = 0, -4*z - 2*s - g = 405. Calculate the remainder when 38 is divided by (-1)/(3*3/z).
8
Calculate the remainder when 993 is divided by 9/24 + ((-14330)/(-144) - 20/(-180)).
93
Let v be 7416/39 + (-2)/13. Let u be 4*(-2)/(-16)*v. Suppose -p = 2*h + 2*p - 181, h - u = 3*p. Calculate the remainder when h is divided by 24.
20
Let n be 105/(-14) - -7 - 1/(-2). Let x be n + (-5 - -5) - -85. Suppose 4*s - 47 = x. Calculate the remainder when s is divided by 7.
5
Let d = 2732 + -1239. Calculate the remainder when d is divided by 18.
17
Let z = 11 - -13. Suppose -99*c = -80*c - 4446. What is the remainder when c is divided by z?
18
Suppose -3366 = -147*z + 2367. What is the remainder when 253 is divided by z?
19
Let y be -5 + (-2)/(-2) + 2. Let o(g) = -g - 5. Let z be o(y). What is the remainder when 14 is divided by 0*z/12 - -9?
5
Let a be (230 + 12)/(2/33). Suppose 99*p = 66*p + a. Calculate the remainder when p is divided by 44.
33
Suppose 223 = 14*x - 5*x - 623. Calculate the remainder when x is divided by 32.
30
Let o be (-540)/(-80)*12/3. Suppose o = -3*n + 54. What is the remainder when 30 is divided by n?
3
Suppose -13*x = -10*x - 120. Let t = 45 - x. Suppose -6*p = -43 - t. What is the remainder when 33 is divided by p?
1
Suppose 8*b + 49 = b. Let i = 43 - b. Suppose 5*z + i = 215. What is the remainder when z is divided by 17?
16
Let z(y) = 45 + 5*y**2 - 92 + 48. What is the remainder when z(-2) is divided by (0 - 1/(-2))*(13 + -5)?
1
Let r(k) = k**3 + 12*k**2 - 3*k + 17. Let z be 111*(8/3 + -3). Let j = 25 + z. What is the remainder when r(j) is divided by 19?
15
Let y(m) = m**3 + 12*m**2 - 3*m + 1. Let q(x) = 2*x**3 + 23*x**2 - 7*x + 1. Let g(z) = 3*q(z) - 5*y(z). What is the remainder when g(-8) is divided by 26?
6
Suppose -13*h + 3*o = -1342, h + 2*o = -0*h + 101. Calculate the remainder when 617 is divided by h.
102
Suppose 4*m - 104 = -o, -4*m - 354 = -4*o + 2. What is the remainder when 1927 is divided by o?
87
Let b = 3466 + -3255. Calculate the remainder when b is divided by 5.
1
Suppose 0 = 2*c + 45 + 9. Suppose 3*f = 7*n - 2*n + 6, 0 = -5*n - 5*f - 30. What is the remainder when (c/n)/((-1)/(-10)) is divided by 19?
14
Let g = -10377 - -10772. Calculate the remainder when 411 is divided by g.
16
Calculate the remainder when (12/(204/5423))/((-1)/(-3)) is divided by 69.
60
Let j = 16929 + -15527. Suppose 4*b + 4*l = 32, 4*b + 5*l - 12 - 15 = 0. What is the remainder when j is divided by b?
11
Let h = -138 + 367. Calculate the remainder when h is divided by 2 + 16/(-10) - (-286)/10.
26
Let a(v) = -v**3 + 26*v**2 - 47*v - 24. Let j be a(24). Suppose -3*y - y + 112 = j. What is the remainder when 81 is divided by y?
25
Suppose -32 = 5*s + 2*o + 8, 4*o = -3*s - 24. What is the remainder when (-66)/(-6) - -5 - s is divided by 18?
6
Let l = -501 - -611. Calculate the remainder when l is divided by 18.
2
Let f(l) = l**2 + 59*l + 174. What is the remainder when f(-71) is divided by 36?
18
Calculate the remainder when -20 + 10 + (9 - -469) is divided by 117.
0
Suppose 5*a = 2*o + 340, -5*o = 3*a - a - 165. Let k(w) = -2*w**3 - 29*w**2 - 262*w - 5377. Calculate the remainder when k(-18) is divided by a.
67
Suppose 2*n + i = 7*n - 483, -4*n = -2*i - 384. Calculate the remainder when n is divided by 29.
10
Let o be 3/(-5) + (-7)/(315/(-72)). What is the remainder when 109 is divided by 1/7*o - 333/(-21)?
13
Let x(j) = 183*j + 615. Calculate the remainder when x(0) is divided by 52.
43
What is the remainder when 5 - 410/(-82)*((-6556)/(-10) + -2) is divided by 12?
9
Let d = -79321 + 79460. Let z(u) = -u**2 - 15*u - 8. Calculate the remainder when d is divided by z(-8).
43
Let l(c) = 95*c + 1154. What is the remainder when l(19) is divided by 39?
34
Calculate the remainder when ((1/3)/((-1)/183))/((-14)/126) is divided by 182.
3
Suppose -76*q + 75*q = 4*z - 482, 5*q = 2*z - 230. Suppose k = 31 + 11. Calculate the remainder when z is divided by k.
36
Let z(o) be the third derivative of 21*o**4/8 - 28*o**3/3 - 8*o**2 - o. Calculate the remainder when 349 is divided by z(2).
69
Let k(i) = i. Let g be k(-9). Let r(z) be the second derivative of z**3/2 + 15*z**2 + 7*z. What is the remainder when 36 is divided by r(g)?
0
Suppose -4*k = 5*f - 371, -20*k + 15*k + 4*f + 515 = 0. Calculate the remainder when 160 is divided by k.
61
Suppose -44*x = -41*x - 213. Suppose 3*q = -3*f + x + 25, 0 = f. What is the remainder when q is divided by 15?
2
Suppose -g = -1 - 2. Let d be 3 - 4/(g - -1). Suppose 30 = d*m + 2*f, -2*f = -5*m - 3 + 92. Calculate the remainder when 82 is divided by m.
14
Let g = 4644 - 4628. Calculate the remainder when 2541 is divided by g.
13
Suppose 528*u - 16579 = 11693 - 3456. What is the remainder when 832 is divided by u?
33
Let l(k) = k**2 + 3*k + 9. Let c(x) = 649*x**2 + 11*x - 10. Let t be c(1). Suppose t = 46*d - 21*d. Calculate the remainder when l(-8) is divided by d.
23
Suppose 2*b = 3*r - 758, -18*r + 14*r + 957 = 5*b. What is the remainder when 1203 is divided by r?
211
Suppose 4*u = -3*h - 46, -5*u + u - 16 = 0. What is the remainder when ((-4)/h)/(4/680) is divided by 24?
20
Let k = 97 - -26. Let w be ((-38)/(-4))/(2/(-4)). Let t = 12 - w. What is the remainder when k is divided by t?
30
Let s(r) = 9*r**2 - 4*r - 4. Let y be s(-1). Suppose m = -m + 2, 5*d - 4*m = -y. What is the remainder when (d*1)/((-1)/53) is divided by 28?
25
Let o(r) = -r**2 - 2*r + 4. Suppose 3*c + 1 + 8 = 0. Let p(q) = 2*q + 8. Calculate the remainder when p(-1) is divided by o(c).
0
Let m be (26/6 - 4)*6. Suppose m*u - 12*l + 17*l - 197 = 0, 2*u - 185 = -l. Calculate the remainder when u is divided by 36.
19
Suppose -503*l + 197*l + 129132 = 0. What is the remainder when l is divided by 65?
32
Let k(v) = -v**3 - 6*v**2 + 4. Let r be k(-6). Suppose -8 = -0*y - r*y. What is the remainder when y*-219*(-4)/12 is divided by 37?
35
Let o(t) = -2*t**2 - 8*t - 4. Let k be 2/(-6)*5/(10/18). Let z be o(k). Suppose 2*m - 12 = z. Calculate the remainder when 19 is divided by m.
5
Calculate the remainder when 1/10*25/(-20) - (-2466)/16 is divided by 10.
4
Let o(q) = 8*q - 1. Calculate the remainder when (1856/(-696))/(4/10)*-63 is divided by o(6).
44
Suppose 4*h + 2917 - 28