49 is divided by k.
1
Let w = 212 - -66. Calculate the remainder when w is divided by 68.
6
Let c(j) = j**3 - 6*j**2 + j - 3. Let h be c(6). Suppose -8 = -h*m + 16. Let x(p) = -p**2 + 10*p + 6. What is the remainder when x(9) is divided by m?
7
Suppose 5*s - 13 + 3 = 0. What is the remainder when 69 is divided by (27/s - 0) + (-3)/6?
4
Let c = -10 + 22. Let s = 17489 - 17475. Suppose -s = c*t - 218. What is the remainder when 32 is divided by t?
15
Let g = 145 - 140. Suppose -g*k - 16 = t, -2*k + 4*t - 5 = -3. What is the remainder when k/4 + 334/8 is divided by 22?
19
Suppose 224*u - 26 = 222*u. Let y = 122 - -252. What is the remainder when y is divided by u?
10
Suppose -8 = 4*j, -4*k - j + 122 = -6*j. What is the remainder when 97 is divided by k?
13
Suppose 0 = -4*d - 20, -4*r + 3*d = -1098 - 2349. Calculate the remainder when r is divided by 3.
0
Let z = 3 + -2. Let b(i) = -i**2 - i - 1. Let m(q) = q**3 + 4*q**2 + 6*q + 254. Let s(r) = z*m(r) + 5*b(r). What is the remainder when s(0) is divided by 36?
33
Suppose -q + 0 = 2, -5*n - 3*q = 26. Let x = 12 - 3. Calculate the remainder when ((-2)/n + 3)*6 + 4 is divided by x.
7
Let f(b) = -60*b + 1345. What is the remainder when 213 is divided by f(22)?
13
Suppose -1039 - 1868 = 17*n. Let w = n - -195. What is the remainder when w is divided by 8?
0
Suppose c = 5*h - 13*c - 1621, 5*h = c + 1634. What is the remainder when h is divided by 46?
5
Suppose 8*y = 35 - 11. Suppose -52 = -3*r - 4*m, 2*r + m = 31 - y. Suppose -11*k - 93 = -r*k. Calculate the remainder when k is divided by 16.
13
What is the remainder when 479 is divided by 19030/(-2076)*42/(-5)?
17
Suppose 871 = 6*o + 343. Let q(w) be the third derivative of -w**6/120 + w**5/12 - w**4/12 + w**3/3 + 26*w**2. What is the remainder when o is divided by q(4)?
8
Suppose -3*l = 5*a - 67, -2*a - 44 + 66 = 2*l. Let g = 226 + -114. What is the remainder when g is divided by a?
10
Let r = -710 - -761. Let c(k) = 2*k**2 + 2*k. Let b be c(2). Let q = r - b. Calculate the remainder when q is divided by 11.
6
Let h = 16 + 8. Suppose 33 = 10*j - 47. Calculate the remainder when j/24*(3 + (-1005)/(-5)) is divided by h.
20
Let o(c) = 2*c**2 - 30*c - 8. Calculate the remainder when 154 is divided by o(18).
54
Suppose 3*u + 15*x - 27 = 13*x, -4*u + 41 = x. Calculate the remainder when 128 is divided by u.
7
Let v = -2268 + 2352. What is the remainder when 661 is divided by v?
73
Suppose -3*q - 3*u = -168, -87*u = 2*q - 82*u - 115. What is the remainder when 85 is divided by q?
30
Suppose -6*q = -12 + 36. Let d be -2*(q - 18/(-4)). Calculate the remainder when 78 is divided by (d + 0 + 2)*1*16.
14
Let v(b) = 3008*b + 152. Calculate the remainder when v(3) is divided by 21.
20
Let z(a) = 3*a**2 - 24*a + 107. Let r be z(30). Suppose -11*m + r = -1125. Calculate the remainder when m is divided by 5.
2
Suppose 0 = -7*d - 2*d - 360. Calculate the remainder when (-1 - 143)*1/(-2) is divided by 15*-2*d/48.
22
Let t(g) = -310*g - 12078. Suppose -5*u = -3*u. Suppose 0 = -u*a + 4*a - 16. What is the remainder when t(-39) is divided by a?
0
Suppose -2720 = 114*n - 118*n. What is the remainder when 65 is divided by n/26 + (3 - (-123)/(-39))?
13
Let p = 9422 + -9381. Calculate the remainder when 260 is divided by p.
14
Suppose -41*t = -7*t - 22197 - 24553. Calculate the remainder when t is divided by 63.
52
Let r = -18 + 41. Let f = r - 0. What is the remainder when -4 + 532/7 - (5 + (-13)/(-13)) is divided by f?
20
Let x(m) be the second derivative of -m**5/20 + 2*m**4/3 + 13*m**3/6 - 19*m**2/2 + 19*m. What is the remainder when ((-102)/(-18) - 6)*-453 is divided by x(9)?
15
Let o = 7382 - 7223. Calculate the remainder when 953 is divided by o.
158
Let i(o) = -8*o + 381. Calculate the remainder when 170/(-51)*(312/(-5))/2 is divided by i(43).
30
Suppose 133*g - 35648 + 470 = 65370. Calculate the remainder when 2292 is divided by g.
24
Let c(z) = -227*z - 136. What is the remainder when c(-3) is divided by 102?
35
Let u(i) be the third derivative of i**6/120 - 9*i**5/20 + i**4/24 + 10*i**3/3 + 26*i**2 + 1. Calculate the remainder when u(27) is divided by 22.
3
Let p = 55 + -37. Suppose -2*i = 2*c - 110, 8*c + 39 = 5*c. Calculate the remainder when i is divided by p.
14
Let k = -50 - -71. Let l be (-2)/3 - ((-119)/k + 4). What is the remainder when 25 is divided by (8 + (-5 - l))*14/4?
4
Let h(t) = t**2 + 6*t - 19. What is the remainder when h(8) is divided by 14?
9
Let k(w) = 7*w - 85. Let j be k(12). Let h(v) = -102*v + 19. What is the remainder when h(j) is divided by 13?
4
Let f(o) = -o**3 + 25*o**2 + 4*o - 35. Let r be f(25). Suppose 0*m - a = -3*m + 81, 2*m + 3*a - r = 0. What is the remainder when m is divided by 3?
1
What is the remainder when 76/266 + (-5178)/(-7) is divided by 152?
132
Let s(x) = x**2 + 22*x - 1. Let t be s(-22). What is the remainder when t/2*(-112)/24*42 is divided by 3?
2
Suppose -348*b = 280*b - 68043 + 3987. What is the remainder when 1233 is divided by b?
9
Let o(c) be the third derivative of 11/6*c**3 + 1/120*c**6 - 20*c**2 + 0 - 1/12*c**5 + 1/4*c**4 + 0*c. Calculate the remainder when o(6) is divided by 14.
13
Suppose -11421*q + 11422*q = 69. Calculate the remainder when 255 is divided by q.
48
Suppose -107 - 23 = -5*y. Let o = 394 + -345. Suppose -o + 291 = 22*z. What is the remainder when y is divided by z?
4
Let q be ((-1048)/6)/(-2)*171/38. Suppose -11*c + q + 223 = 0. Calculate the remainder when c is divided by 15.
11
Let b(u) = -330*u + 6978. Let f(z) = -37*z + 2. Calculate the remainder when f(-5) is divided by b(21).
43
Let j(n) = n**2 + 31*n + 350. Calculate the remainder when 438 is divided by j(-16).
108
Suppose 8 - 33 = 5*d, 0 = -a - 3*d + 151. Calculate the remainder when 1166 is divided by a.
4
Suppose 2 = -4*t - 2*j, t + 4*j - 5 = -4*t. Let y(n) = -126*n + 9. Let x be y(t). Suppose 57 = 6*i - x. What is the remainder when i is divided by 15?
14
Let s(v) = 9*v - 27*v**2 + 14*v + 383*v**3 - 382*v**3 + 88. Calculate the remainder when 75 is divided by s(26).
5
Let v = -149 + -238. Let z = -362 - v. Calculate the remainder when 121 is divided by z.
21
Let v(a) = -24*a - 236. Let c be v(-10). Let n(k) = -k**2 + 5*k - 1. Calculate the remainder when 1/(((-2)/(-2))/11) is divided by n(c).
2
Suppose -966*u + 24636 = -962*u. Calculate the remainder when u is divided by 39.
36
Let w(u) = 2*u**3 + 17*u**2 + 16*u + 14. Suppose 0 = -3*g + 4 + 29. Calculate the remainder when w(-6) is divided by g.
10
Suppose c = -5*r + 535, -5*c = 2*c + 5*r - 3655. What is the remainder when c is divided by 136?
112
Let v(r) = 4*r**2 - 13*r + 390. Calculate the remainder when v(18) is divided by 91.
87
Let l = -3 + 6. Suppose -3*b = -39 - l. What is the remainder when ((-5292)/(-490))/((-2)/(-10)) is divided by b?
12
Let k be -2*4/4 - -4 - 17. Let u = k - -205. What is the remainder when u is divided by 66?
58
Suppose 3*k + 459 = -79*o + 80*o, 3*k - 1329 = -3*o. Suppose 8*z - o + 335 = 0. What is the remainder when 135 is divided by z?
9
Let b be ((-18)/(-4))/(24/3872). What is the remainder when 57 is divided by 5/(1 + -21) + b/24?
27
Suppose 7*a + 0*a - 189 = -56*a. What is the remainder when 1529 is divided by a?
2
Let o = 64 + -91. What is the remainder when (-132)/10*(248/16 - 18) is divided by (-2)/(-12)*-4*o?
15
Suppose -3*n + 15 = -2*n. Let w(k) = -2374*k - 11859. Calculate the remainder when n is divided by w(-5).
4
Let r be (66/(-77))/((-3)/14). Suppose -16 + 14 = -b. Suppose -b*j = -5*v + 59, r*j - 15 = -j. What is the remainder when 88 is divided by v?
10
Let z = 65 + -33. Let k = z - 39. Let f = 16 - k. What is the remainder when 43 is divided by f?
20
Suppose -21 = 98*w - 99*w - 2*v, v = 5*w - 83. What is the remainder when 440 is divided by w?
15
Suppose -5*o + 2399 + 236 = 0. Calculate the remainder when o is divided by 32.
15
Let y(h) = 36*h - 2. Let d(s) = -13*s - 67. Let v be d(-6). Suppose -4*c - 315 = -v*c. Calculate the remainder when y(5) is divided by c.
43
Suppose -2*z - 12*k + 2783 = -11*k, 0 = -2*z - 9*k + 2823. Calculate the remainder when z is divided by 461.
6
Let t(n) = 14*n**2 + 7*n - 6. Let j(q) = -6*q**2 + q + 1. Let k be j(1). Let b be (k - 11/(-2))*4/6. Calculate the remainder when 57 is divided by t(b).
12
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