 What is the remainder when k is divided by 47?
44
Let r = 15358 + -15320. Calculate the remainder when 125 is divided by r.
11
Suppose u - 863 = -132*b + 131*b, 5*b + 3533 = 4*u. Calculate the remainder when u is divided by 5.
2
What is the remainder when (-814)/(-2849)*14*23 is divided by 27 + (2 - (1 - 0))?
8
Let u(a) = -a**3 + 50*a**2 + 192*a + 100. Calculate the remainder when u(53) is divided by 37.
36
Suppose 0 = -3*l + 44 + 22. Suppose -4*p + 302 = -d + 33, 0 = -2*p + 4*d + 124. Let q = -4 + p. Calculate the remainder when q is divided by l.
20
Suppose -316*n = -43818 - 3582. What is the remainder when 305 is divided by n?
5
Let x(j) = 17*j**2 + 5*j - 5. Let v(q) = 8*q - 29. Let t be v(4). Let b be x(t). Let f = -92 + b. What is the remainder when f is divided by 20?
11
What is the remainder when 512 is divided by 3*(1036/185)/((-4)/(-10))?
8
Let v = -4040 - -4740. Calculate the remainder when v is divided by 39.
37
Calculate the remainder when 1020/(-9)*(-60 + -6) is divided by 6.
4
Let k = 17 - -82. Let f = -96 + k. What is the remainder when (6/9)/(4/36) is divided by f?
0
Suppose -24*z + 3905 = -110*z + 33145. What is the remainder when 735 is divided by z?
55
Suppose 13 = 2*z - 5*j + 2, 3*z + 5*j - 29 = 0. Let n = 20 + 2. Calculate the remainder when n is divided by z.
6
Let m(c) = c**3 + 3*c**2 + 2*c - 9. Let a be m(-5). Let y = 132 + a. Suppose -4*i - 19 = -91. What is the remainder when y is divided by i?
9
Suppose 0 = -3*a - a + 92. Let m(y) = 21*y**2 - 83*y - 407. Calculate the remainder when m(7) is divided by a.
18
Suppose 23*a - 182 = 1198. What is the remainder when 2514 is divided by a?
54
Let s be -1*90*(-32)/(-40). What is the remainder when 8/10*380*(-9)/s is divided by 19?
0
Suppose 3*a = 3*y + 21, 5*a - y - 20 = -5. Suppose 12*q - a*q = 450. What is the remainder when q is divided by 25?
20
Let f = -5 - -12. Let t be -18*(4/(-1) - (-9)/2). Let q(n) = -n**2 - 9*n + 2. What is the remainder when f is divided by q(t)?
1
Let a = -60 - -134. Suppose -4*b - 5*m + 132 = 0, -6*b - 2*m + 82 + 94 = 0. What is the remainder when a is divided by b?
18
Suppose -2*x + 12 = -4*l, -3*x + 3 = 3*l - 4*l. Let r(z) = -9*z**3 - 4*z**2 + z + 3. Calculate the remainder when r(l) is divided by 26.
25
Let i be (4 - (-5 + 3)) + (-1020)/(-4). Suppose i + 399 = 33*p. What is the remainder when 977 is divided by p?
17
What is the remainder when 6142/6 + (-216)/(-162) is divided by 79?
77
Let c be (21 - 0)*1*(3 - 2). Suppose c*o + 2*o = 13478. Calculate the remainder when o is divided by 21.
19
Suppose -70*k + 10325 = 1015. Calculate the remainder when 7445 is divided by k.
130
Suppose -583 = -5*d - 2*w, -472 = -3*d - d - 3*w. Calculate the remainder when d is divided by (-411)/(-18) - (-1330)/1140.
19
Let f(u) = u**3 - 5*u**2 - 7*u - 17. Calculate the remainder when 3805 is divided by f(8).
116
Suppose 4*m = -24, -x + 285 - 223 = 3*m. What is the remainder when 398 is divided by x?
78
Let n = -10607 - -10638. What is the remainder when 588 is divided by n?
30
Let a(y) = y**2 - 8*y + 15. Let k be a(6). Suppose -6*o - 2*m = -o + 287, -197 = k*o - 5*m. Let h = 81 + o. Calculate the remainder when h is divided by 4.
2
Let m = 27 - 0. Suppose 4*b - m = 197. Suppose 0 = -12*c + 6*c + 132. What is the remainder when b is divided by c?
12
Let c = 215 - -106. Calculate the remainder when c is divided by 53.
3
Suppose -j - 7 = -q, 0 = -q - j + 1 - 0. Suppose -3*x = q*x - 336. Suppose -3*u = n - 45, 5*n = -4*u + x + 122. Calculate the remainder when n is divided by 16.
14
Let q = 92 + -187. Let l = q - -135. Suppose -42*d = -l*d - 38. What is the remainder when d is divided by 5?
4
Let t(k) = -k**3 + 42*k**2 + 166*k + 399. Calculate the remainder when t(43) is divided by 19.
7
Let w(m) = 348*m**2 + 52*m + 8. What is the remainder when w(-2) is divided by 30?
6
Suppose 2*b - 568 = 4*l, -2*l - 5*b + 40 = 348. Let a = -112 - l. Let n = 32 - -31. Calculate the remainder when n is divided by a.
31
Let g(c) = -96*c + 1. Suppose -3*t = 21*t - 48. Suppose -3*u + 103 = 4*z, -13*z - t*u = -10*z - 77. What is the remainder when g(-1) is divided by z?
22
Suppose 3*f + 3*l = 1809, 1518 = 4*f - l - 904. Calculate the remainder when f is divided by 74.
13
Let r = 0 + 3. Suppose -53 = -r*c + 25. Let j = -339650 - -339654. Calculate the remainder when c is divided by j.
2
Let h = 17130 - 17109. What is the remainder when 374 is divided by h?
17
Let c(n) = 7*n**2 + 25*n + 5. Suppose -148 = -4*j + 4*k, 0 = -j + 5*k + 57 - 16. Calculate the remainder when c(-6) is divided by j.
35
Suppose -m + 2*m - 5*l + 200 = 0, l = -2*m - 378. Let q = m + 278. Let a = 105 - 86. What is the remainder when q is divided by a?
12
Let z(t) = 5*t - 68. Let m be z(15). Suppose y = m*y - 462. Suppose -5*r = -3*v + 83, 5*v + 4*r + 50 = 176. What is the remainder when y is divided by v?
25
Let h(m) = -2*m + 49. Let v(l) be the second derivative of -l**3/2 - 2*l**2 - 7*l. Let t be v(-7). Calculate the remainder when 134 is divided by h(t).
14
Suppose 0 = -4*s + 448 + 272. Suppose 0 = 2*a - 387 + 51. Suppose c + 233 = 5*i, -3*i = -2*c + 24 - a. What is the remainder when s is divided by i?
42
Let n(g) = -g**2 - 8*g - 22. Let p be n(-4). Suppose 0 = -0*z - 3*z - c + 90, 0 = 3*c - 9. Calculate the remainder when 777/9 + p/18 is divided by z.
28
Suppose 2*o - 150 - 193 = h, -4*h - 147 = -o. What is the remainder when 484 is divided by o?
134
Suppose 4909*s - 888 = 4872*s. Let v(f) = -f**3 - 2*f**2 + 7*f + 2. Calculate the remainder when v(-6) is divided by s.
8
Let v(k) = -k**2 + k + 58. Let f be v(13). Let y = -90 - f. What is the remainder when 53 is divided by y?
5
Suppose -27*x - 51 + 969 = 0. What is the remainder when 405 is divided by x?
31
Let h(v) = -2*v**3 - 7 + 5*v**2 + 6*v - 1 + 4*v + v**3. Calculate the remainder when h(4) is divided by 30.
18
Suppose -313 = -5*s + 4*p, -3*s + 179 = 6*p - 4*p. Let l = 131 + -142. Let v(y) = y**3 + 11*y**2 - y + 21. Calculate the remainder when s is divided by v(l).
29
Suppose n - 205 = 400. Suppose 0 = -12*x + x + n. Suppose -25 = x*v - 56*v. What is the remainder when v is divided by 16?
9
Let n(z) = -5*z + 78. Let v be (-25)/(-4) + (-3)/(-4). Calculate the remainder when n(v) is divided by 5.
3
Let k(b) = -2*b**3 + 13*b**2 - 3*b - 54. What is the remainder when 121 is divided by k(4)?
9
Suppose 60 = 3*f + 4*t - 2*t, 0 = -4*f - 5*t + 87. Calculate the remainder when ((-158)/(-4))/((f/(-8))/(-9)) is divided by 42.
32
Let n be ((-52)/(-5) - -2) + 8/(-20). Suppose -12*t = -12 - n. Suppose 0 = t*o + i - 6*i - 37, 2*i - 86 = -4*o. What is the remainder when 61 is divided by o?
19
Let p(v) = 2*v + v - 2 + 145*v**2 - 143*v**2. What is the remainder when 67 is divided by p(2)?
7
Let i(c) = 62*c**2 - 8*c + 2. Suppose -4*v = -548 + 544. What is the remainder when 334 is divided by i(v)?
54
Let v(m) be the first derivative of 34*m - 1/4*m**4 - 28/3*m**3 + 8 + 0*m**2. What is the remainder when v(-28) is divided by 14?
6
Let r = 11604 + -11430. What is the remainder when 7304 is divided by r?
170
Calculate the remainder when 38 is divided by 4 - (((-10)/4)/5 + (-444)/24).
15
Let b be ((-2)/(-3))/((-2)/(-12)). Suppose b*v - 72 = 4*q, -7*v + 3*v + 2*q + 78 = 0. Let d = -45271 + 45437. Calculate the remainder when d is divided by v.
19
Calculate the remainder when 7168 is divided by (-4416)/(-192) - 4/(-2).
18
Let w(z) = -10*z**2 - 221*z + 33. What is the remainder when 341 is divided by w(-22)?
11
Let h be (-1)/(-4) - (-54)/8. What is the remainder when -2*h*(-198)/77 is divided by 13?
10
Let v(c) = 11*c**2 + 18*c - 1. Let h(r) = 3*r**2 + 6*r. Let u(m) = -7*h(m) + 2*v(m). What is the remainder when 370 is divided by u(-5)?
52
Suppose 3*x = -15*r + 20*r - 9472, -5*x - 5664 = -3*r. Calculate the remainder when r is divided by 34.
28
Let g(o) = 3*o - 16. Suppose -5*j + 2 = -53. What is the remainder when 4/(-22) + (-1062)/(-33) is divided by g(j)?
15
Let x = -655 + 660. Suppose -2*t = -2*o + 134, -t + 7 = x. Calculate the remainder when 204 is divided by o.
66
Suppose -11*y - 5*a = -9*y - 219, -2*a - 240 = -2*y. Calculate the remainder when y is divided by 39.
0
Let g be -185 + 1 + -7 + 4 + 6. Let f = 202 + g. Calculate the remainder when f is divided by 13.
8
Suppose