emainder when 163 is divided by c?
7
Suppose 8845 + 5561 = 343*r. Calculate the remainder when 1369 is divided by r.
25
Suppose 4*a = 12*a. Let l(u) = u**2 + 7*u + 67. What is the remainder when l(a) is divided by 17?
16
Let x = -7 + -276. Let a = x - -319. What is the remainder when 214 is divided by a?
34
Let b(d) be the third derivative of 5*d**4/24 - 19*d**3/6 - 8*d**2 + 2. Suppose 75 = 4*s + s. What is the remainder when b(9) is divided by s?
11
Let p = 15 - 4. Let m = -18136 - -18149. Calculate the remainder when m is divided by p.
2
Suppose 4*m = 10 - 2. Suppose -3*n + 58 = -m*x, -88 = -5*n - x - 0*x. What is the remainder when 45 is divided by n?
9
Suppose -2*f + 246 = a - 518, 4*a - 4*f - 3044 = 0. What is the remainder when a is divided by 192?
186
Let h = 43 - 74. Let f = h - -7. What is the remainder when 69 is divided by ((-22)/(-20) - f/(-40))*72?
33
Let p be 5 + 7/(7/3). Suppose 0 = 2*u + 2 - p. Suppose -v = -u*v + 20. Calculate the remainder when 27 is divided by v.
7
Let c(n) = -n**2 + 8*n - 9. Let b be c(6). Let z(d) = 14*d - 3. What is the remainder when z(b) is divided by (0 - (-4 + -1))*896/320?
11
Let p be 12 + -14 + (0 - -1) + 3. Suppose 2*k = p*m + 40 - 4, -5*k - 2*m = -76. Calculate the remainder when 175 is divided by k.
15
Let b(h) = h**2 + 4*h - 2. Let k(g) = 2*g - 23. Let u be k(13). Suppose u = -4*d + 7. Calculate the remainder when b(-5) is divided by d.
0
Let s(g) = -g**2 + 11*g + 1. Suppose -w + 32 = 4*l, 2*l + 5 = -w + 19. What is the remainder when s(l) is divided by 12?
7
Suppose 4*r + 4*s - 12 = 0, -s + 0 = 3. Suppose -2*h = -r, -m - 2 = -0*m - 4*h. What is the remainder when 13 is divided by m?
3
Suppose 7*m - 1724 = -2*u + 9*m, -u = 3*m - 854. Suppose 0 = y - 4*d - u, 0 = -2*d - 1 + 5. Calculate the remainder when y is divided by 30.
28
Suppose -105*a = -39327 - 40263. What is the remainder when a is divided by 118?
50
Let a(p) = -29*p**2 + 2*p + 1. Let h(f) = 87*f**2 - 6*f - 4. Let n(t) = -7*a(t) - 2*h(t). What is the remainder when 104 is divided by n(1)?
20
Let a(r) = -462*r + 968. Calculate the remainder when a(0) is divided by 457.
54
Let s(r) = -r**3 - 23*r**2 + 291*r + 103. Let l be s(-32). Let j(o) = 5 + 2*o**2 + 4*o - 1 - 11*o. Calculate the remainder when j(l) is divided by 18.
17
Suppose -3*g - 3*d = -60, 5*g + 25*d - 68 = 24*d. Let r = -187 + 264. What is the remainder when r is divided by g?
5
Suppose p + 2*a - 14 = 0, -p - 5*a + 0*a + 29 = 0. Let h(k) = -2*k - p*k - 2*k + 89*k**2 + 4 - 90*k**2. Calculate the remainder when 73 is divided by h(-6).
9
Let w(p) be the second derivative of p**3/3 + 4*p**2 + 32*p. Let r be w(-3). Suppose 5*h = r*h + 372. Calculate the remainder when h is divided by 32.
28
Let t(j) = -1032*j - 5097. Let o = -11 + 15. Calculate the remainder when t(-5) is divided by o.
3
Let f(v) = 169*v + 5903. Calculate the remainder when 9889 is divided by f(-34).
155
Suppose 5*f - 22 = 128. What is the remainder when -21*((-6)/51 - (3 + 1624/68)) is divided by f?
27
Let r(p) = -2. Let s(u) = u + 1. Let o(y) = r(y) - 3*s(y). Let t = 2714 + -2724. Calculate the remainder when 69 is divided by o(t).
19
Let b(a) be the third derivative of 2*a**4/3 - 47*a**3/3 - 59*a**2. Let n = -5 - -7. Calculate the remainder when b(6) is divided by n.
0
Let k = 18729 - 14055. Calculate the remainder when k is divided by 17.
16
Let i = 607 + -591. Suppose 3*j = -m + i, -10*j + 11*j = -m + 18. What is the remainder when m is divided by 5?
4
Let j(s) = -12 - s - 3 - 4 - 2*s**2 - 12 + 36*s. Calculate the remainder when j(15) is divided by 7.
2
Let f be ((-9)/(-6))/((-6)/(-32)). Let t(z) = z**2 - z + 14. Let m be t(f). Let q = m - -116. What is the remainder when q is divided by 47?
45
Calculate the remainder when (-7 - -4)/((-9)/177) is divided by (66/77)/(1/7).
5
Suppose z - 2938 = -2*n + 26, 0 = -2*n + 3*z + 2956. What is the remainder when n is divided by 38?
37
Let o be 15/6 + (-13)/26. Let z(m) = 5*m - 7. Let i(v) = -3*v + 3. What is the remainder when i(-2) is divided by z(o)?
0
Suppose -2*c - 118 = -638. Let j = -172 + c. Calculate the remainder when j is divided by 34.
20
Let g = 2 + 0. Suppose 2*y - 3*c = 30, -3*c = y + c - 15. Suppose -10 = -w - 3*z, 4*z = -4*w + w + y. What is the remainder when g is divided by w?
0
Let z(o) = 132*o**3 + o - 1. Let c(g) be the third derivative of -5*g**4/24 + 25*g**3/2 + 15*g**2 + 2*g. What is the remainder when z(1) is divided by c(12)?
12
Suppose -4*q + 5220 = 4*f, 254*f = 250*f + q + 5205. Calculate the remainder when f is divided by 9.
6
Suppose 0 = 4*x - 3*z - 1235, -41*x + 286 = -40*x - 4*z. Calculate the remainder when 389 is divided by x.
75
Suppose 71 + 5 = 4*w. Suppose w = 3*v - 14. Let u(t) = t**2 - 18*t - 138. What is the remainder when v is divided by u(-6)?
5
Suppose 2*c = 2*m - 496, 2*m - 304 = -2*c + 196. Let l = m + -237. What is the remainder when 311 is divided by l?
11
Suppose 105 = 3*f + 6*c - 5*c, -2*f = -5*c - 104. Let o = -11 + 22. Calculate the remainder when f is divided by o.
4
Let a = -3705 + 4004. What is the remainder when 326 is divided by a?
27
Let p = 366 + -233. Let o be (-1)/(-2)*19/(p/1176). Let y = 98 - o. Calculate the remainder when y is divided by 10.
4
Suppose -4*m - 122 = -3*c + c, -2*m = -3*c + 187. Calculate the remainder when 380 is divided by c.
2
Let c(y) be the first derivative of -1/4*y**4 + 36*y + 29/3*y**3 + 37 - 14*y**2. Calculate the remainder when c(28) is divided by 8.
4
Let k(y) = y**3 - 2*y**2 - y + 6. What is the remainder when (-4 + 9)*(82/10 + -1) is divided by k(0)?
0
Let s(q) = 2*q**2 + 2*q + 1. Let i = 345 - 342. Suppose -3*t - 12 = 0, 4*c + i = t + 95. What is the remainder when s(4) is divided by c?
19
Let w be 348/(3 - -1) + (-4 - -7). Suppose -5*c - 3*m + 273 = 26, w = 2*c - m. Calculate the remainder when 138 is divided by c.
44
Suppose 0 = 6*t - 63 - 159. Suppose 10 = 5*s, 3*s = v - s - 13. Calculate the remainder when t is divided by v.
16
Suppose -5*s = -126*h + 131*h - 1760, -6*s = -48. Calculate the remainder when h is divided by 185.
159
Suppose -11*c - 8*c + 247 = 0. Calculate the remainder when (4/(-5))/(38/(-2565)) is divided by c.
2
Suppose 528 = 7*m - 3*m. Let z(y) = 3*y**2 + 79*y - 86. Let x be z(-28). Suppose 55*r - m = x*r. Calculate the remainder when r is divided by 27.
24
Suppose 849*q - 852*q - 4*h = -140, 0 = 5*q + 2*h - 252. What is the remainder when 70 is divided by q?
18
Let b = 250 - 219. Let p = 16 + 5. Let c = b - p. Calculate the remainder when c is divided by 4.
2
Suppose -j + 4*c = c + 176, -844 = 5*j + 3*c. Let w = -157 - j. What is the remainder when 155 is divided by w?
12
Suppose -3*i - 2*i - 5*d = -500, 2*d - 302 = -3*i. Calculate the remainder when (-1)/(-2)*(-17)/(i/(-1068)) is divided by 47.
42
Suppose 0 = -2*d + 2*z - 3230, -4*d - 1638 = 4*z + 4846. Let n = d + 1659. Let p = 831 + -587. Calculate the remainder when p is divided by n.
39
Let o = -2870 - -2884. Let g = -152 - -247. Let u = g - 56. What is the remainder when u is divided by o?
11
Let b = -8 + -71. Let h = 99 + b. Calculate the remainder when 198 is divided by h.
18
Suppose -5*d = 3*h - h + 350, 2*d + 139 = -h. Let p = -77 - d. Calculate the remainder when 58 is divided by 10/p + -1 - -15.
10
Let o be -2*5/10*3/3. Let t(l) = 2*l**3 - l**2 - 3*l - 2. Let a be t(o). Let b(c) = 6*c**2 + 5*c. What is the remainder when 79 is divided by b(a)?
9
Suppose 4*l - 3*l = 121. Let o = l - 108. Calculate the remainder when 103 is divided by o.
12
Let p = 48 - 33. Let t(f) = 2*f**2 + 41*f - 16. Let u be t(-30). Let n = 563 - u. Calculate the remainder when p is divided by n.
6
Suppose 3938 + 6304 + 2670 = 16*b. Calculate the remainder when b is divided by 74.
67
Suppose -8*b - 2546 = 2214. Let n = b - -623. Calculate the remainder when 1/((-2)/(-164) - 0) is divided by n.
26
Let o = 86 + -137. Let n be (9 - 3)*43/3. Let f = o + n. What is the remainder when 103 is divided by f?
33
Let b = 20503 - 19387. What is the remainder when b is divided by 543?
30
Suppose 4*x = 5*y - 235, 0 = -3*y + 31*x - 33*x + 141. Calculate the remainder when 208 is divided by y.
20
Let r(o) = -4 + 8*o**2 + 2 + 0*o**2. Suppose -2*j + 20 = -2*b, j - 12 = -4*b + 6*b. Calculate the remainder when j is divided by r(-1).
2
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