6, -92 = -4*x + 2*i. Calculate the remainder when 380 is divided by x.
20
Suppose 200 = 2*a - 3*s - 1302, -a + 3*s + 751 = 0. What is the remainder when a is divided by 47?
46
Suppose -124*f + 125*f = -r + 374, 334 = r - 4*f. Calculate the remainder when r is divided by 167.
32
Suppose -4*v + 4*m + 552 = 0, m + 281 = -4*v + 858. What is the remainder when 234 is divided by v?
91
Let g = -11271 - -13718. What is the remainder when g is divided by 24?
23
Let s = -24 + 29. Suppose 0 = -s*n + 178 - 33. Suppose 13 = -4*k + n. What is the remainder when 14 is divided by k?
2
Let q = 66490 - 66482. Let f(a) = a**2 - a + 46. Let v(b) = -b**2 - 6*b. Let n be v(-6). What is the remainder when f(n) is divided by q?
6
Suppose -50 = -4*u + 686. Let g = u - 163. What is the remainder when 41 is divided by g?
20
Let y(v) be the second derivative of -v**4/6 - 10*v**3/3 + 25*v**2 + 228*v. Calculate the remainder when 109 is divided by y(-11).
25
Suppose 62*k = 709 + 4747. What is the remainder when k is divided by 61?
27
Calculate the remainder when (-36)/((-1)/(180/(-5)) + 4/(-16)) is divided by 126.
36
Calculate the remainder when -104*((-5)/15)/(13/39) is divided by 14.
6
Let y = -1019 + 1412. Calculate the remainder when y is divided by 204.
189
Let x = 67 + -56. Suppose 16 + 105 = x*h. Let p(a) = 2*a**2 - 20*a + 1. What is the remainder when 67 is divided by p(h)?
21
Suppose 0*o - 7*o = -42. Suppose 0 = 5*j - 4*t - 260, -5*j + 3*t - o*t + 225 = 0. Let w(c) = c + 7. Calculate the remainder when j is divided by w(0).
6
Suppose -5*p + 523 = -3*a + 5*a, -5*a = -2*p - 1235. Calculate the remainder when a is divided by ((-6)/(-9) - (-988)/12) + 1.
81
Suppose -q + 24 = 8. Let l(y) = -2*y**2 - 9*y + 25. Suppose 3*o - 10 = o, 3*d + 3*o = -3. What is the remainder when q is divided by l(d)?
2
Let m(d) = 17*d**2 + 32*d - 78. Calculate the remainder when m(15) is divided by 264.
3
Suppose 7958*k + 10392 = 7964*k. Calculate the remainder when k is divided by 29.
21
Let h(y) = y**3 + 47*y**2 + 225*y - 34. What is the remainder when 186 is divided by h(-6)?
2
Let f(u) = -53*u + 1941. Calculate the remainder when f(-18) is divided by 10.
5
Let i = -40 - -48. Let u(l) = l**3 + 9*l**2 + 2*l + 20. Let k be u(-9). Suppose -3*q - 3 + 6 = 2*j, k*q = -j. What is the remainder when i is divided by j?
2
Suppose -3*x = 3*s - 3159, 124*x - 4*s = 121*x + 3166. Calculate the remainder when x is divided by 56.
46
Suppose 5*f + 16*f = 32*f - 10934. Calculate the remainder when f is divided by 272.
178
Suppose 60*a + 187970 + 44386 = 328*a. What is the remainder when 2617 is divided by a?
16
Let b = -70 - -72. Suppose b*v = 1 + 143. Calculate the remainder when v is divided by 15.
12
Let a = -50 - -50. Suppose a = -26*y + 19*y + 77. Calculate the remainder when 40 is divided by y.
7
Suppose 0 = 4*r + v - 351, 7*r = 3*v + 853 - 253. Let j(t) = t**3 - 6*t**2 - 4. Calculate the remainder when r is divided by j(7).
42
Let b(f) = 7*f**2 + 117*f + 413. Calculate the remainder when 105 is divided by b(-4).
48
Let b = 9 - -19. Suppose -3100 = -3*j - f, -5*j + 5*f + 3688 = -1492. What is the remainder when j is divided by b?
26
Let u(b) = 4*b**2 - 2*b - 52. Calculate the remainder when u(14) is divided by 59.
55
Calculate the remainder when (-12396)/(-18) - 65/39 is divided by 46.
43
Suppose 5*t - 2*t = 5*c + 19, -3*t + 5 = 2*c. Suppose -t*f + 28 = 4*r - 5*f, 3*r + f - 16 = 0. What is the remainder when 93 is divided by r?
3
Let h(i) = -2*i**3 - 28*i**2 - 23*i + 46. Calculate the remainder when 2708 is divided by h(-13).
6
Let h(a) be the second derivative of -a**4/12 - 11*a**3/6 + 14*a**2 + 36*a. What is the remainder when 43 is divided by h(-12)?
11
Suppose 0 = -7*s + 5*s + 3*s. Suppose -o + s*o = 0, 5*o = -3*c + 69. What is the remainder when c is divided by (-7)/((-7)/12) + 0?
11
Suppose t + 5*h + 120 = -203, 363 = -t + 5*h. Let c = t + 375. What is the remainder when 414 is divided by c?
30
Suppose 2*h = -k - 77, 192 - 518 = 4*k + 2*h. Let t = k + 188. Suppose -t = 17*b - 22*b. What is the remainder when 145 is divided by b?
19
Suppose -3*p = -4*w - 8419, 102*w - 14020 = -5*p + 107*w. Calculate the remainder when p is divided by 80.
77
Suppose 0 = 216*k - 132*k - 5544. What is the remainder when 373 is divided by k?
43
Suppose 160*y = 610*y - 57150. Calculate the remainder when 268 is divided by y.
14
Let p = -13 + 38. Calculate the remainder when (120/(-80))/((-11)/((-3784)/(-12))) is divided by p.
18
Suppose 5*r + 47 = f, -5*f - 4*r + r + 123 = 0. What is the remainder when 1025 is divided by f?
26
Let t = -7 + 10. Suppose t*y - 76 = 35. Suppose -6*p + 87 = 3. Calculate the remainder when y is divided by p.
9
Suppose 17 = 66*m - 64*m + 7*y, 0 = 2*y - 2. What is the remainder when 407 is divided by m?
2
Suppose 25 = 5*f, 15*b + 2*f = 14*b + 82. Suppose -384 = -2*o + b. What is the remainder when o is divided by 7?
4
Suppose 5*k - 5*y + 15 + 30 = 0, 5 = -k - y. Let n(t) = -2*t**3 - 6*t**2 - 8*t - 43. What is the remainder when n(k) is divided by 51?
48
Let b = 39 - 36. Suppose 2*n - b*n + 27 = 0. Suppose 2*l = 5*v + 122, -3*l - 2*l + v = -259. What is the remainder when l is divided by n?
24
Let o = 16 - -11. Suppose -178*w + 12281 = -1442 - 7815. Calculate the remainder when w is divided by o.
13
Suppose -4*t + t + 75 = 0. Suppose 0 = 4*m - 3*m - 7. Let p(r) = -2*r**2 + 16*r - 2. Calculate the remainder when t is divided by p(m).
1
Let g(y) be the second derivative of y**3/6 + 3*y + 18. Calculate the remainder when g(7) is divided by 1.
0
Let j be 6/(-21) + (-6482)/(-49). Let q = j + -83. Suppose -5*m + 10 = 0, -4*d + 2*m = d - 61. What is the remainder when q is divided by d?
10
What is the remainder when 163 - (1 - 1)/(-4) is divided by (960/(-448) - -2) + 337/7?
19
Let l be (-10)/(-40) - (-363)/4. Suppose c + 3*s - 33 = 0, l = 3*c - 0*s + s. What is the remainder when 63 is divided by (c + -14)/(-1 - -2)?
15
Suppose 4*a = 7*s - 2*s + 44, 4*a - 28 = s. Calculate the remainder when (-4)/a*(-783)/29 is divided by 1.
0
Suppose -3*c + 20*f = 25*f - 6973, -4*c + 9372 = -4*f. Calculate the remainder when c is divided by 78.
74
Let b = -332 + 317. What is the remainder when 146 is divided by 9/(b/5) + 44?
23
Suppose 7099*u = 7101*u - 124. Suppose -2*z + 7*z - 20 = 0. Calculate the remainder when u is divided by z.
2
Let v = -108 - -111. Suppose -v*r = -8*n + 4*n + 51, 0 = -5*n - 2*r + 81. Calculate the remainder when 57 is divided by n.
12
Let j(b) be the second derivative of -b**5/20 + b**4/2 + 5*b**3 - 7*b**2/2 - 10*b + 7. Calculate the remainder when 63 is divided by j(9).
3
Let i(n) = 4*n**2 + 4*n + 16. Let h = -197 - -201. What is the remainder when i(h) is divided by 14?
12
Calculate the remainder when 5233 is divided by 11/(((-54)/14 - -4) + -8 + 8).
74
Let g(t) = -3*t**2 + 16*t + 508. Calculate the remainder when g(0) is divided by 121.
24
Suppose 4*a = -3*a + 217. Suppose -f + 54 = a. Calculate the remainder when 90 is divided by f.
21
Let u(v) = -658*v + 2661. What is the remainder when 22416 is divided by u(4)?
28
Let s(f) = f**2 - 11*f + 21. Let k be s(9). Suppose -3*l + k = 24. What is the remainder when (329/l)/(-1*1) is divided by 12?
11
Suppose -4*n = 130 + 94. Suppose -16*o - 252 = 996. Let w = n - o. Calculate the remainder when w is divided by 8.
6
Let m = 6307 + -6174. Calculate the remainder when m is divided by 133.
0
Let a = -1 + -3. Let x = 7 + a. Suppose -2*z + 36 = -f, 2*z + 4*f - 38 = 6*f. What is the remainder when z is divided by x?
2
Suppose -12*n + 85 = 13. Suppose 4*p - 15 = -3*h, n*h - 5*h + 2*p = 3. Calculate the remainder when 49 is divided by h.
4
Let p = -11730 - -11766. Let g(h) = 18*h**2 - 2*h + 2. Suppose -m + 5*w + 22 = w, 10 = -2*w. What is the remainder when g(m) is divided by p?
34
Let g(o) = -8*o - 2. Let s be g(-1). Let r(u) = u**2 - 8*u + 12. Let h be r(s). Let b(y) = y**2 + 2*y + 8. What is the remainder when 34 is divided by b(h)?
2
Let j(n) = -2*n**2 - 19*n - 17. Let f be j(-9). Let c be (134/8)/(1/f). Let a = 243 + c. Calculate the remainder when a is divided by 14.
11
Suppose -17 - 29 = -5*p - 4*b, b = 4. What is the remainder when (3/4 - (-51960)/96) + p is divided by 55?
53
What is the remainder when 118/3*(2219/(-634) - (-4 + -1)) is d