 3*c - q - 403 = 0. What is the remainder when c is divided by v(-23)?
14
Let h be 9/(1 + (-8)/9). Let m = 172 - h. Suppose -6*u = -u - 235. What is the remainder when m is divided by u?
44
Suppose -g = -17 + 3. Let k = -6 + g. Let p = -1577 + 1582. What is the remainder when k is divided by p?
3
Let z = 70 - 54. Let d = z - 10. Suppose d*h + 0*h = 204. Calculate the remainder when 135 is divided by h.
33
Let z(x) = 350 + 558*x - 1109*x + 568*x. Calculate the remainder when z(-7) is divided by 18.
15
Suppose -2*i + 176 = 2*z, -118 - 62 = -2*z - 3*i. Calculate the remainder when z is divided by 5*1*8/5.
4
Let m be (3 - (-1 + 0)) + (2 - 1). Suppose 0 = m*u - u - 28. Calculate the remainder when u is divided by 5.
2
Let r(k) = 2*k**2 - 9*k + 3. Suppose -21*x = -5*l - 17*x - 2610, -4*l + x = 2099. Let t = -515 - l. Calculate the remainder when r(6) is divided by t.
10
Suppose 29*g - 167 = 1312. Suppose -154*l - 56 = -158*l. Calculate the remainder when g is divided by l.
9
Let k be ((-4)/6)/((-12)/90). Suppose -5 = d - 2*d. Suppose 5*y - 125 = d*u, 0*y + u = k*y - 129. What is the remainder when y is divided by 4?
2
What is the remainder when 852 is divided by (-368)/(-3) - (-136)/(-204)?
120
Let q(d) = 4*d**2 - 1034*d + 4146. Let s = -88 + 219. Calculate the remainder when s is divided by q(4).
57
Let s(v) = v**3 - v - 3. Let w be s(2). Suppose -w*a + 0*a - 12 = 0. Let q(j) = 8*j**2 + 10*j + 4. Calculate the remainder when q(a) is divided by 31.
30
Suppose -2*y + 13 = -2*s - 3*y, 0 = -3*s + y - 12. What is the remainder when 4014/90 + ((-2)/s - 0) is divided by 17?
11
What is the remainder when 4/(-30) - (5 - (-1798840)/(-300)) is divided by 13?
11
Let s = -1312 + 1358. What is the remainder when 3862 is divided by s?
44
Let v = -5206 + 5689. What is the remainder when v is divided by 9?
6
Suppose -415*f = -501*f + 192296. Calculate the remainder when f is divided by 10.
6
Suppose -63*u + 23*u = -1160. Let x(t) = -t**2 + 36*t - 96. What is the remainder when x(u) is divided by 12?
11
Calculate the remainder when 109 is divided by 4 - (-8 + 8 + -1)/1.
4
Calculate the remainder when -6 + (675 - (-4 - -6)) is divided by 238.
191
Let c = -15 - -32. Suppose -k - 2*z = -1390, -12611*z + 12616*z + 90 = 0. Calculate the remainder when k is divided by c.
15
Let g(n) = 209*n**2 - 89*n + 91. What is the remainder when g(6) is divided by 253?
250
Suppose 52*p = 72*p - 18800. Calculate the remainder when ((-358)/2 + 0)/(-1) is divided by p/20 + (-6)/3.
44
Let v(i) = -1070*i + 11983. Let w = 21 - -22. Calculate the remainder when v(11) is divided by w.
41
Let b be (-1)/2 - 2/(-4). Suppose -w + b*a + 23 = 2*a, -w = 3*a - 19. Calculate the remainder when w is divided by 17.
14
Suppose -18 = -3*m + 36. Let i be 118/(-4) - m/(-12). Let a = i - -45. What is the remainder when 45 is divided by a?
11
Calculate the remainder when -1*(-3 - (-111 - -1))*239*-1 is divided by 93.
91
Let k(q) = 3*q**2 - 3*q - 9. Let c = 16 - 21. Calculate the remainder when k(c) is divided by 1368/81 + ((-16)/36)/(-4).
13
Let z(v) = -30*v**3 + v**2 - 2*v - 2. Let t = -1300 - -1310. Calculate the remainder when z(-1) is divided by t.
1
What is the remainder when 16743 is divided by 73/730 - 559/(-10)?
55
Suppose 93*i = 89*i + 5*x + 154, -10 = -5*x. What is the remainder when 1594 is divided by i?
36
Let t(j) = 996*j - 1231. Calculate the remainder when t(2) is divided by 168.
89
Suppose -4*x + 1152 = 2*l, 2*x - x = -5*l + 2880. Suppose -7*q + 159 = -l. What is the remainder when 1258 is divided by q?
103
Suppose -k + 153 = h + 4*h, 2*k - 151 = -5*h. Let q(n) = -n**2 - 18*n + 21. What is the remainder when q(-10) is divided by h?
8
Let y(w) be the second derivative of -7*w**3/2 + 50*w**2 + 60*w. What is the remainder when y(-2) is divided by 6?
4
Let a be 50/(-125) - (-2064)/10. Suppose -4*v + 256 = w, -a - 23 = -w + 5*v. What is the remainder when w is divided by 82?
80
Suppose -h - 4*z + 36 = 3*h, -5*h = -5*z - 35. Suppose -7*f = u - 2*f + 15, -2*f = h. What is the remainder when 44 is divided by u?
4
Suppose -36 = -2*p + 3*x, -p = 2*p - 3*x - 51. Suppose 5*d - y = d + 523, 3*d + 4*y - 416 = 0. What is the remainder when d is divided by p?
12
Let c be ((-15)/(-6))/((-2)/(-196)). Let b = 368 - c. What is the remainder when b is divided by (1/(-3))/(-6 + (-2259)/(-378))?
11
Let n(p) be the second derivative of -p**4/12 + 11*p**3/6 + p**2 - 82*p. Calculate the remainder when 78 is divided by n(10).
6
Suppose 6*x = -10*x + 144. Let f = 19 + x. Calculate the remainder when 50 is divided by f.
22
Suppose 35572 = 137*h - 95674. What is the remainder when 1937 is divided by h?
21
Let w = -14341 + 17915. What is the remainder when w is divided by 12?
10
Suppose -261*x + 549*x = 271*x + 1003. Let k = -704 + 1054. What is the remainder when k is divided by x?
55
Suppose 3*r = 2*j + 511, -271 - 418 = -4*r - 5*j. Let f = -129524 - -129585. What is the remainder when r is divided by f?
49
Suppose -3*c + 4*o - 25 = -5, -4*c + o - 31 = 0. Let z = 581 + c. Calculate the remainder when z is divided by 12.
9
Calculate the remainder when 2085/6 - 15/6 is divided by 57.
3
Let w(c) = -5 + 9*c**2 - 7*c + 13 + c**3 + 3*c. Let l = -8304 - -8295. What is the remainder when w(l) is divided by 23?
21
Let p(h) be the second derivative of 7*h - 11/6*h**3 + 0 - 8*h**2. Calculate the remainder when 83 is divided by p(-4).
27
Suppose 90*i + 95*i - 23775 = 170*i. What is the remainder when i is divided by 84?
73
Suppose -5971 + 16003 = 16*z. Suppose 19*k + 0*k - z = 0. What is the remainder when k is divided by 8?
1
Let t(m) = 2*m**2 - 619*m + 47. Suppose 5*o - 4*k = k + 1150, 0 = 3*k - 6. What is the remainder when o is divided by t(0)?
44
Let l(t) = -111*t + 5. Let w(h) = h**3 - 8*h**2 - h + 9. Let k be w(8). Let v be l(k). Let s = -41 - v. Calculate the remainder when s is divided by 10.
5
Suppose 2517 = 36*g + 645. Calculate the remainder when 322 is divided by g.
10
Let i(s) = -4*s - 2*s + 15*s + 5*s**2 - 8. What is the remainder when i(4) is divided by 26?
4
Suppose 0 = -3*a + 5*m + 10448, -3*m + 48652 = 22*a - 8*a. What is the remainder when a is divided by 7?
4
Let s = 7 - 6. Let h be s*-3 + -5 + 9. Calculate the remainder when 59 is divided by 5*(h/(-1) - -4).
14
Let s be (9*3519/27)/((-3)/(-2)). Let p = s + -449. Calculate the remainder when p is divided by 56.
53
Suppose -3*s - 4*k + 1127 = -323, 0 = -5*k - 25. Calculate the remainder when s is divided by 123.
121
Suppose 106 = 2*l - 4*r + 20, -3*l + 127 = -5*r. Let z = 198 + -138. Suppose z - 10 = 5*v. What is the remainder when l is divided by v?
9
Let g(f) = 6*f - 65. Suppose u = -3*w + 165, 0 = -3*w - 2*w + 3*u + 261. Let o = w - 35. Calculate the remainder when g(23) is divided by o.
16
Suppose 5*u = 4*i + 63 + 27, -3*u + i = -54. What is the remainder when 2879 is divided by u?
17
Suppose -4*j + 7*j - 14*j + 1375 = 0. Calculate the remainder when j is divided by 122.
3
Suppose 4672*f - 4675*f = -1878. Calculate the remainder when f is divided by 63.
59
Let o be (2772/54)/(2/9). Let n = o - 162. Let x = -86 - -110. What is the remainder when n is divided by x?
21
Let m(x) be the third derivative of -6*x**2 - x + 13/24*x**4 - 1/60*x**5 + 0 - 5*x**3. Calculate the remainder when m(7) is divided by 4.
0
Let j = 78 + -121. Let u = 47 + j. Suppose 0 = -8*b + u*b + 72. Calculate the remainder when b is divided by 4.
2
Suppose 7*y - 964 = -650 + 1016. Calculate the remainder when y is divided by 41.
26
Let m(z) = z**3 - 50*z + 134. Calculate the remainder when m(11) is divided by 229.
228
Let q = -4049 + 7167. Calculate the remainder when q is divided by 30.
28
Suppose 51040 = b + 50957. Let j = -29 - -73. What is the remainder when b is divided by j?
39
Suppose 0 = 3*j + 5*z - 95 + 34, -2*j = -z - 19. Let u(s) = 4*s**2 + s - 7. Calculate the remainder when u(6) is divided by j.
11
Let c = 24 - 21. Suppose c*m + 3*b + 69 = 0, -m - 53 = 2*m - b. Let h = 39 + m. What is the remainder when 78 is divided by h?
18
Suppose 0 = 14*y - 31*y - 4165. Let q = y - -326. Calculate the remainder when q is divided by 43.
38
Suppose -s = -4, 4*s - 7 = -2*u + 105. Suppose -29*d = -26*d + 30. Let w = 20 + d. Calculate the remainder when u is divided by w.
8
Let g(j) = -487*j**