 remainder when c is divided by 13.
11
Suppose 16*y = 21*y, -2*r + 3*y = -y - 6548. What is the remainder when r is divided by 63?
61
Let m(k) = 2*k + 48. Let n be m(-8). Suppose 5 = p - 42. What is the remainder when p is divided by ((-24)/n)/(6/(-104))?
8
Let l(b) = -200*b + 1933. Suppose 3*w + 2*w = 170. What is the remainder when l(9) is divided by w?
31
Suppose 0 = -41*l + 162659 + 6343. What is the remainder when l is divided by 133?
132
Suppose 9448*q - 9454*q + 78 = 0. Let u(v) = -9*v + v**2 - 2*v + 2 - 11. Calculate the remainder when 32 is divided by u(q).
15
Suppose s - 145 = -2*q, 362 = 4*q + q + 3*s. Let x = 20 - -58. Suppose 4*w = -t + 150, -w - w + t = -x. Calculate the remainder when q is divided by w.
35
Suppose 4*n + b + 9 = 0, 4*n = 3*b - 8*b + 3. Suppose 12 = -6*v + 6. What is the remainder when 23 is divided by n - (-12 + 1) - v?
5
Calculate the remainder when 1511 is divided by (15/75)/((-3)/(-495)).
26
Let g(v) = -662*v**3 - 3*v**2 - 7*v - 1. Calculate the remainder when g(-1) is divided by 29.
27
Suppose 6*p + 3*p = p. Suppose p = -11*m + 894 - 223. Calculate the remainder when m is divided by 16.
13
Suppose 24*j + 161 = 209. Let q(f) = 2*f**3 - 6*f**2. Let v be q(4). Suppose 2*h - j*k = -7*k + v, h = -2*k + 17. What is the remainder when h is divided by 8?
5
Suppose -220*v + 586 = -193*v - 251. Suppose k - 4 = -0. Suppose -a - k*j = -0 + 5, a - 19 = 4*j. What is the remainder when v is divided by a?
3
Let g(s) = 152*s + 2197. What is the remainder when 3309 is divided by g(-14)?
66
Let r(t) = -14*t + 3. Let f be r(4). Let u = -21 - f. Suppose 2*p - 256 = -u. What is the remainder when p is divided by 23?
20
Let w(r) be the second derivative of -r**5/20 - 23*r**4/12 + 19*r**3/6 - 39*r**2 - 11*r - 5. What is the remainder when w(-24) is divided by ((-10)/4)/((-1)/6)?
12
Let w = 5561 - 5504. Calculate the remainder when 119 is divided by w.
5
Let r = -32 + 112. Suppose -2*o - 3*s = -12, -o - 4*s = -4*o - 16. Suppose b + o*b = 41. Calculate the remainder when r is divided by b.
39
Let s = -179 + 182. Suppose s*k = -10*k + 624. Suppose 3*x - 4*a - 17 = -0*a, -3*x = a - 22. Calculate the remainder when k is divided by x.
6
Suppose 1066 = 137*r - 55*r. Calculate the remainder when 257 is divided by r.
10
Let z be 3/5*(7/1 + -2). Let j(a) = -a**3 + 10*a**2 - 12*a + 9. Suppose 0 = -5*y + 73 + 32. Calculate the remainder when j(z) is divided by y.
15
Let n = -8867 - -8907. What is the remainder when 40 is divided by n?
0
Let t = 1989 - 1954. What is the remainder when 4478 is divided by t?
33
Let u = 13 + 14. Suppose 5*b - 9*x + 12*x = 898, -212 = -b + 3*x. What is the remainder when b is divided by u?
23
Suppose 9*x = -5*x + 20*x - 312. What is the remainder when 8839 is divided by x?
51
Suppose 2*a = 2*z - 332, -658 + 667 = -a. What is the remainder when 7377 is divided by z?
155
Let x be ((-8)/(-200)*10)/(1/10). Suppose -x*i = 2*i - 1338. What is the remainder when i is divided by 56?
55
Let k = 70 - 70. Let x be ((6*2)/4)/(6/4). Suppose k = x*v + 7*v - 54. What is the remainder when 10 is divided by v?
4
Suppose -3*i + s + 7217 = 0, 806 = i - 4*s - 1629. What is the remainder when i is divided by 478?
13
Let t(p) = p**3 + 6*p**2 - 46*p - 14. Calculate the remainder when t(-7) is divided by 18.
7
Suppose 0 = 3*z + 2*z - 3*w - 152, 4*w = 2*z - 58. What is the remainder when z is divided by 5 + (-30)/33 + (-2)/22?
3
Let l = -106 + 114. Suppose l + 4 = -3*p, p + 44 = 4*j. Calculate the remainder when 46 is divided by j.
6
Let o = -338 - -338. Suppose -3*k - t + 1329 = o, 5*k + 65*t = 61*t + 2208. Calculate the remainder when k is divided by 56.
52
Let u(x) = x**3 - 7*x**2 - 55*x + 419. Calculate the remainder when 815 is divided by u(8).
41
Let s(q) = 4*q**3 - 19*q**2 - 15*q + 5. Suppose 13*n - 59 = 201. What is the remainder when s(6) is divided by n?
15
Let h(y) = -33*y + 76. Let z be h(-10). Suppose -3*t - z = 5*n - 1461, 0 = 3*n - 2*t - 633. Calculate the remainder when n is divided by 53.
52
Let o(v) = v**2 + 25*v + 27. What is the remainder when o(29) is divided by 12?
9
Let o = -152 - -155. Let b(f) = -6*f + 22. Calculate the remainder when 37 is divided by b(o).
1
Let l(t) = -t**3 + 13*t**2 - 16*t + 18. Let v(d) = d**3 - 6*d**2 - 4*d - 6. Let s be v(6). Let j = 37 + s. What is the remainder when l(j) is divided by 51?
47
Let j(d) be the third derivative of -3*d**4/8 + 113*d**3/3 - 15*d**2 - 2. Calculate the remainder when 93 is divided by j(22).
9
Let d = 25113 + -25071. What is the remainder when 106 - (-1)/(0 - 1) is divided by d?
21
Suppose 471 = -4*f + 4*n + 2987, 5*f - 3124 = -2*n. Suppose f - 738 = -7*t. Calculate the remainder when 189 is divided by t.
13
Let p(x) = 2*x - 2. Let m(o) = 20*o + 19 + 2*o**2 + 1 + 5 - 5 + 42. Calculate the remainder when m(-10) is divided by p(5).
6
Let y = -6 + 12. What is the remainder when (-8 - (0 - 2))/(255/(-680)) is divided by y?
4
Let s be (80/(-140))/((-2)/973). Suppose s = 27*q + 62. What is the remainder when 101 is divided by q?
5
Let s = -29 + 48. Suppose -16*c = -32*c + 18944. Let p = c + -1180. Calculate the remainder when s is divided by p.
3
Let o = 62 + 32. Suppose -2*a - 4*b = -3*a - o, -3*a + 3*b = 318. What is the remainder when 105 is divided by a/(-4) - ((-14)/4 + 3)?
21
Suppose -4 = d - 5*l, -2*l + 70 = 5*d + 3*l. Calculate the remainder when d is divided by (-2713)/(-438) + 1118/(-40807) - (-5)/6.
4
Let a = -901 + 413. Let v = a - -530. What is the remainder when v is divided by 3?
0
Let q(l) = -8 + l + 10 + 2*l. Suppose -8*x - 57 = -369. Calculate the remainder when x is divided by q(4).
11
Let b = 154 - 145. Suppose -2*i = 10*i + 72. What is the remainder when (-2 + -3 + 2)/(i/30) is divided by b?
6
Let j = -10 + 22. Let u = 423 - 270. Calculate the remainder when u is divided by j.
9
Suppose -5*r + 10 = 0, -41*r + 43*r = -s + 8. What is the remainder when 1*183*1/3 is divided by s?
1
Suppose 2017*z - 365 = 2012*z. What is the remainder when 142 is divided by z?
69
Suppose 4*k + 5*o + 84 = 2*k, -5*k - 187 = o. Let l(x) = x**3 + 38*x**2 + 33*x - 86. Calculate the remainder when l(k) is divided by 7.
6
Suppose 0 = 4*u + j - 68, -u + 3*j = -24 - 6. What is the remainder when (2 - (-44)/(-10))*-20 is divided by u?
12
Let h = 883 - 847. Calculate the remainder when 319 is divided by h.
31
What is the remainder when (9 - 12/1) + 0 + 1330 is divided by 36?
31
Let c(w) = 2*w**2 + 14*w + 13. Let r(t) = t**2 - t + 1. Let b be r(2). Let x be (16/(-10))/(b/15). What is the remainder when c(x) is divided by 5?
4
Let f be (-1 - 2) + 1 + 6. Suppose -3*r = -2*l - 440, 5*r = -f*l + 304 + 444. What is the remainder when r is divided by 41?
25
What is the remainder when 2340 + 13/(78/(-4))*-3*2 is divided by 1163?
18
Let n(t) = t + 1. Let u(i) = 8*i + 11. Let b(v) = -n(v) + u(v). Let q be b(5). What is the remainder when q/(-60) - (-1062)/8 is divided by 19?
18
Suppose -20 = -20*x - 3*x + 3*x. What is the remainder when 599 is divided by x?
0
Suppose -19280 = 2159*m - 2163*m. Calculate the remainder when 4/45*m + 4/(-9) is divided by 54.
50
Suppose -i + 1022 + 652 = -b, -b - 5018 = -3*i. Suppose 4*d + 1564 - i = 0. What is the remainder when 102 is divided by d?
21
Let v(m) = 13*m + 40. Let n be v(-8). Calculate the remainder when (-96)/n*906/9 is divided by 54.
43
Let b(d) be the second derivative of d**4/2 + d**3/6 + 3*d. What is the remainder when 16 + 1/((-6)/(-30)*5) is divided by b(-1)?
2
Suppose -1441*k + 1428*k + 169 = 0. What is the remainder when 225 is divided by k?
4
Suppose -4*m - 4*s + 10 + 2 = 0, 0 = -3*m + 4*s + 2. Suppose -a - m*x = -45, 48 = 3*a - 2*a + 3*x. Calculate the remainder when a is divided by 27.
12
Let i(q) = 55*q + 10. Let o be i(-4). Let b = o - -308. Calculate the remainder when b is divided by (-5 - (-9 - -5))*-33.
32
Suppose -4*w + 5 = 5*k - 3*w, -2*w = -10. Suppose k = 6*y - 13*y. Suppose 2*z - g = 22, 3*z + g = -y*z + 23. What is the remainder when z is divided by 6?
3
Let u be (2/(-4))/((-2)/12). Suppose u*d - 116 - 157 = 0. What is the remainder when d is divided by 13 + 0 + ((-7656)/29)/(-44)?
15
Let t = -8317 - -8561. What is the remainder when t is divided by 20?
4
Suppose -p + 273 = 5*k, 0*p = -4*k - p + 218. What is the remainder