 = -4*j + 167 - 55. Suppose -22 + j = 3*c. Suppose -5*f = c*v - 61, -f + 3*v = -v - 21. What is the remainder when f is divided by 7?
6
Let t(u) = -u**2 + 3*u + 2. Let d be t(-2). Suppose 5073 = -57*p + 146*p. What is the remainder when p is divided by 6/(-8)*128/d?
9
Calculate the remainder when (-258)/(-8)*(-312)/20*(-180)/54 is divided by 56.
53
Suppose 3*n = -31*n + 3468. Suppose -13*t + 106 = -n. What is the remainder when 51 is divided by t?
3
Let h = 25704 - 18999. Calculate the remainder when h is divided by 23.
12
Suppose -6*g = -2*g + 64. Let p = 14 + g. What is the remainder when -4 + (p - -29) + -1 is divided by 8?
6
Suppose 391*x + 0*x - 85113 = -188*x. What is the remainder when 1205 is divided by x?
29
Let y = -165 + 161. Suppose 0 = -4*l - 43 + 443. Calculate the remainder when l is divided by ((-2)/y)/((-2)/(-104)).
22
Let x = 75 - 91. What is the remainder when 43 is divided by ((-5)/((-50)/(-45)))/(3/x)?
19
Suppose -279*o = -270*o - 45. Suppose 0 = o*s - 4*s + 4*r - 50, -5*r + 103 = 2*s. Calculate the remainder when s is divided by 76/(-4)*(1 + -2).
16
Let p = -77 + 80. Suppose 0 = -47*r - 1161 + 5767. What is the remainder when r is divided by p?
2
Calculate the remainder when 4247 is divided by ((-18)/(-8))/((15/42)/(720/756)).
5
Let z(w) = -w**2 - 3*w. Let b be z(-4). Let t = b + 12. What is the remainder when (-20 - 1)*(-2)/3 is divided by t?
6
Let r(z) = -z**3 - 6*z**2 - 10*z - 119. Let p be r(-7). Let d(w) = -141*w + 22. Let s = 35 + -22. Calculate the remainder when d(p) is divided by s.
9
Suppose 0 = 5*c - 0*c + 2*t - 285, 0 = 3*c + 4*t - 171. What is the remainder when 214 is divided by c?
43
Suppose -14*d + 131*d = 31005. What is the remainder when 2383 is divided by d?
263
Let t(o) = -36*o - 65. Calculate the remainder when 1798 is divided by t(-2).
6
Suppose -7*k - 808 - 1418 = 0. Let v = k + 376. Calculate the remainder when v is divided by 21.
16
Let v = 13 + 1. Let l = 67 - v. What is the remainder when l is divided by 11?
9
Suppose 98*f = 97*f - 804. Calculate the remainder when 38 is divided by 7/(-1)*(9 + f/84).
2
Let g(m) = 4*m + 69. Let v be g(-16). Suppose -y = -0*y - 5*p - 13, v*y - 125 = 5*p. What is the remainder when 83 is divided by y?
27
Let y = -64 + 69. Let q(t) be the third derivative of t**5/60 + 4*t**2. What is the remainder when y is divided by q(2)?
1
Let q(b) = -b**3 + 22*b**2 + 84*b - 39. Calculate the remainder when q(23) is divided by 65.
64
Let v(h) = -8*h - 29. Let p be v(-6). Suppose -p*a = -24*a + 25. What is the remainder when 8 is divided by a?
3
Suppose -3*o = w - 204, -5*w - 15 = -45. Calculate the remainder when 349 is divided by o.
19
Let m(x) = 2*x**2 - 3*x + 3. Suppose q - 2*q = -112. Suppose 3*k + 5*k = q. Calculate the remainder when m(5) is divided by k.
10
Let w(r) = r**3 - 13*r**2 + 15*r + 1. Suppose 0 = 4*q - 3*q - 12. Suppose 4*b + 2 = 2*z - 4, 60 = 5*z - b. Calculate the remainder when w(q) is divided by z.
11
What is the remainder when (-122)/((-2484)/492 + 5) is divided by 48?
5
Let i(n) = 122*n**2 + 702*n + 6283. Calculate the remainder when i(-9) is divided by 394.
391
Let p = 122 + -76. Let k be -579*(20/(-3))/(-10). Let b = -370 - k. Calculate the remainder when p is divided by b.
14
Let w = 82 + -42. Let a = -421 + 502. What is the remainder when w is divided by (-3 - -1)/((-27)/a)?
4
Let n(u) = u**2 + 8*u - 1. What is the remainder when (-3 + 21/6)/((-9)/(-846)) is divided by n(-9)?
7
Let z = 18770 - 17364. What is the remainder when z is divided by 64?
62
Let z(b) = 17*b**2 + 171*b - 34. What is the remainder when z(-11) is divided by 18?
16
Let m = -8255 - -8475. Calculate the remainder when m is divided by 98.
24
Let u(k) = -k + 41. Let o(a) = -a**3 - 7*a**2 - 3*a - 4. Let h be o(-7). Let x = -1 + h. What is the remainder when 72 is divided by u(x)?
22
Let d = -22256 + 23433. Calculate the remainder when d is divided by 171.
151
Let h = 174 + -173. Suppose 6*c - h = 65. Calculate the remainder when 105 is divided by c.
6
Let q(j) = 20*j + 384. Let d be q(-19). Suppose 46 = 4*f + 5*i, -14 - 24 = -d*f - i. Calculate the remainder when 485 is divided by f.
8
Let w(a) = -4*a + 81. Let u be w(-19). Let c = 197 - u. What is the remainder when c is divided by 21?
19
Let m(k) = -13*k + 3*k**2 + 12 - 4*k**2 - 3 + 4. Let q(x) = -x**2 + 12*x - 46. Let z be q(7). Calculate the remainder when 135 is divided by m(z).
30
Let f be -8 - (-530)/45 - (-2)/9. What is the remainder when (-3)/(45/(-785)) + f/6 is divided by 35?
18
Let i(m) = -20 - 10 + 5*m + 12 - 19. What is the remainder when 209 is divided by i(18)?
50
Suppose 280*h = 35*h - 305*h + 49500. What is the remainder when h is divided by (-3)/9 + (-154)/(-3)?
39
Let y = -3 - -23. Suppose y*x = 23*x - 6. Suppose -x*o + 30 = 3*s - 1, 4*o - 47 = -3*s. Calculate the remainder when 29 is divided by o.
5
Let l(i) = -2*i + 36. Let w be l(18). Suppose -2*z = -4*d - 0*z + 32, -2*d - z + 20 = w. Calculate the remainder when 21 is divided by 5/2 + d/6.
1
Let s(a) = -23*a - 34. Let y(u) = 34*u + 52. Let q(m) = 8*s(m) + 5*y(m). What is the remainder when 217 is divided by q(-4)?
41
Suppose 2223 - 319 = 14*s + 54*s. Suppose -5*m = -259 - 151. What is the remainder when m is divided by s?
26
Let v = 30 - 24. Suppose v = -2*o + r, -2*o + 2*r = -o. What is the remainder when 19 is divided by 2/(-16)*o*8?
3
Let u = -83 + 148. Suppose 6*x - x = 6*p + 166, 0 = 5*x + 3*p - 157. What is the remainder when u is divided by x?
1
Let d(m) = m**2 + 4*m - 20. Let c be d(-8). Suppose 0 = 4*s + c, 0 = q + 63*s - 64*s - 9. Calculate the remainder when 131 is divided by q.
5
Let i = -135 - -138. Suppose i*g - 4*p = 25, -4*g - p = -6*p - 35. Suppose 5*s + y + y - 35 = 0, -g = -3*y. Calculate the remainder when 14 is divided by s.
4
Suppose 0 = b + 241 - 4184. What is the remainder when b is divided by 304?
295
Suppose -163*p - 690 = -b - 168*p, 3*b - 2135 = -2*p. What is the remainder when b is divided by 120?
115
What is the remainder when (56/(-21))/(7105/2373 - 3) is divided by 164?
124
Suppose 14*d + 247 + 3001 = 0. Let j = d - -243. Calculate the remainder when 74 is divided by j.
8
What is the remainder when (0 - (-272)/(-80))/((-2)/150) is divided by (-15)/(-20) - (-507)/12?
40
Let i = 79 - -98. Let p = i + -125. Let r = p + -43. Calculate the remainder when r is divided by 2.
1
Suppose 0 = -4*f + 146 - 38. Suppose 175 = 4*k + 3*d, 3*k - 2*d - 4 - 106 = 0. Suppose k*c = 37*c + 45. What is the remainder when f is divided by c?
12
Suppose 4*l + 664 = -5*h + 231, 0 = -l + 3*h - 121. Let u = -10 + 22. What is the remainder when l/40 + (-1)/5 + 44 is divided by u?
5
Let t(w) = 13*w - 32. Let y be t(2). Calculate the remainder when 7 is divided by -2*5/y - 9/(-27).
1
Let m = 92 - 64. Let c be 2/(-3) - -33*2/18. Suppose 4*w - 2*y - 72 = y, -c*w - 3*y = -33. Calculate the remainder when m is divided by w.
13
Suppose r + 5*f - 14 = 0, -2*r + 9*f + 28 = 10*f. Calculate the remainder when 24665 is divided by r.
11
Let b(c) = -c**2 + 70*c + 2684. What is the remainder when b(92) is divided by 34?
14
Suppose 1678 - 11252 - 7861 = -55*i. Calculate the remainder when i is divided by 41.
30
Suppose 70*n + 48 = 94*n. Calculate the remainder when 109 is divided by n.
1
Suppose 3*s + 4 - 100 = -k, 0 = 2*s + 3*k - 57. Calculate the remainder when 23297 is divided by s.
32
Let y(f) be the third derivative of -13*f**4/6 - 281*f**3/6 + 124*f**2. Calculate the remainder when y(-8) is divided by 20.
15
Let m = -5 - -3. Calculate the remainder when (-213)/m*(-4)/(-3) is divided by (-1)/(-26) - (-280869)/9698.
26
Suppose -2*l - 2*t = -4*l + 70, 0 = -l + 5*t + 55. Calculate the remainder when 4017 is divided by l.
27
Let x(o) = -4 - 5*o + 2 + 2*o. Suppose 3*w - f - 178 = 0, 3*f - 194 = -899*w + 895*w. What is the remainder when w is divided by x(-7)?
18
Let s(g) = 68 - 154 - 3*g**2 + 77 + 71*g + 5*g**2. What is the remainder when 45 is divided by s(-36)?
18
Let l be 11 - 0*(-4)/32*-4. Suppose -l*y = -9*y - 8. Suppose j = -y*w + 96, -j + 58 = w - 29. Calculate the remainder when j is divided by 17.
16
Suppose 2*z + 276 = -2*p + 4*p, 0 = 5*p + 5*z - 680. Let d be 2/9 + (-410)/(-18). Suppose -c + 23 = -d. What is the remainder when p is divided by c?
45
Let g(c) = c*