the remainder when s(-77) is divided by 58.
2
Let k = -22366 + 22371. Calculate the remainder when 1113 is divided by k.
3
Let j(h) be the first derivative of h**4/2 + 16*h**3/3 + h**2/2 + 16*h + 56. Calculate the remainder when 133 is divided by j(-8).
5
Let n = 3400 - -1156. Calculate the remainder when n is divided by 47.
44
Let g = 247 - 176. Let i = g - 78. What is the remainder when 2/11 + i/((-77)/900) is divided by 42?
40
Let x = 7001 - 6991. Calculate the remainder when 1709 is divided by x.
9
Let j = -272 + 475. What is the remainder when j is divided by ((-102)/(-8))/(234/312)?
16
Suppose -5*b - 4*w + 76 - 17 = 0, 6 = b - 5*w. Suppose -4*t = 3*p - 144, -5*t + 9*p = 10*p - 191. Calculate the remainder when t is divided by b.
6
Let h = 127131 + -127080. Let u(z) = -z**2 - z + 27. Calculate the remainder when h is divided by u(0).
24
Let a = -289 + 295. Suppose 0 = 2*f - a*f + 200. What is the remainder when f is divided by 20?
10
Let f be (1 - 1)*(-3)/(-6)*2. Suppose -o - 4*a = -f*a + 16, -o + 8 = -2*a. Suppose o = -2*u - 10*u + 648. What is the remainder when u is divided by 11?
10
Let u be 6/(-3) + 2 - 20. Let n(l) = l**2 + 19*l - 4. Calculate the remainder when (8/(-32))/((-1)/228) is divided by n(u).
9
Let o = -54 - -92. Suppose k - 7*k = 0. Calculate the remainder when o is divided by (k + 5/(-3))/(3/(-9)).
3
Let k(x) = x + 136 + 194 - 211. What is the remainder when 557 is divided by k(-39)?
77
Let o(y) = -y**2 + 7*y + 7. Let h(z) = -z - 9. Let m be h(-13). Let p be o(m). Suppose -6*a + p = -23. What is the remainder when 68 is divided by a?
5
Suppose -4*u = -1984 - 3234 + 54. What is the remainder when u is divided by 323?
322
Suppose -107 - 221 + 9 = -11*x. Calculate the remainder when 1043 is divided by x.
28
Suppose 116 = 2*h - 8. Let w(a) = -a**3 - 3*a**2 - 2*a + 14. Let x be w(5). Calculate the remainder when h is divided by (-56)/84 - x/6.
30
Suppose -80*y + 24614 = 2854. What is the remainder when y is divided by 12?
8
Suppose m = -0 + 6. Let z = 13 + 30. Suppose z = 5*l + 13. Calculate the remainder when m is divided by l.
0
Suppose 4*k - z - 59 = 0, -7*k + 5*z = -6*k - 29. What is the remainder when 6/18*1*453 is divided by k?
11
Let n(s) = -s**3 - 5*s**2 - 2*s + 15. Let x(i) = i + 3. Let q be x(0). Let k = q - -15. Calculate the remainder when k is divided by n(-4).
4
Let m(t) = t**2 - 2*t + 7. Let k be m(-5). Suppose -14*q = -140 - k. What is the remainder when 13 is divided by q?
0
Suppose 70 = 4*t - 3*f, -3*t + 55 = f - 2*f. Let r(j) = j**3 + 2*j**2 - 4*j + 8. Suppose 0 = -8*a + 1 - 25. Calculate the remainder when t is divided by r(a).
8
Suppose -s + 192 = 7*s. Suppose 0 = 2*v + 4*v - s. Suppose v*m - 80 = -3*u, -u = -2*m - m - 18. Calculate the remainder when u is divided by 13.
11
Suppose -w - 5*r + 137 = 15, -4*w = 5*r - 443. What is the remainder when 244 is divided by w?
30
Let j(q) = q**2 - 143*q + 841. Suppose 4*p - 2*p = 8. Suppose -n = 5*u - 0*n - 271, 0 = -4*u + p*n + 236. What is the remainder when u is divided by j(6)?
17
Let j = -1584 + 3726. What is the remainder when j/27 + (1/(-3) - 0) is divided by (0 - -2)/(4/54)?
25
Let y(l) = -84*l - 845. Calculate the remainder when y(-17) is divided by 73.
72
Let v be 5*(2 + 0 + -1). Suppose -56 = -4*m - v*k, 0*k = -4*k. What is the remainder when (-4147)/(-44) + 14/8 is divided by m?
12
Let v(b) = 2*b**2 - 2*b + 6. Let z be v(2). Let q be (z/(-4))/(50/(-24) - -2). Suppose 19*h = 14*h + q. What is the remainder when h is divided by 5?
1
Suppose -11 = 4*x - 7, -k - 4*x = 2. Suppose 0 = g - 4*v - 60, g - k*v - 96 = -40. What is the remainder when g is divided by 34?
18
Let x(q) be the second derivative of q**5/20 - 13*q**4/6 - q**3/3 + 63*q**2/2 + 12*q. What is the remainder when 25 is divided by x(26)?
3
Let j(r) = 7 - 5*r - 2*r + 14*r - 8*r. Let y be j(7). Suppose -w + 25 + 7 = y. What is the remainder when 82 is divided by w?
18
Suppose -7699 - 15 = -58*f. What is the remainder when f is divided by 12?
1
Let b(n) = -14*n + 278. Let p be b(16). Suppose p*t = 58*t - 56. What is the remainder when 77 is divided by t?
7
Let h = 29055 + -29023. Suppose u = 5*s - 195, 7*s = 2*s + 5*u + 215. Let x = s - h. Calculate the remainder when 31 is divided by x.
1
Let v = 1245 - 1231. Calculate the remainder when 590 is divided by v.
2
Suppose -3*h - 9*x + 4*x = 1, 21 = 5*h - 3*x. Suppose 4*i + 3*w - 185 = 0, -3*i = -0*i - h*w - 123. Calculate the remainder when 123 is divided by i.
35
Let q = -9 + 33. Suppose 5 = -5*x + 25. Suppose x*u - 475 = -u. What is the remainder when u is divided by q?
23
Suppose 5*f = 4*l - 0*l + 501, -2*l = -2. What is the remainder when f is divided by (-1 + 55)/1*((-407)/(-22) - 18)?
20
Suppose 4*j - 17*j - 26 = 0. Suppose -4*y + 0*y = -g - 95, -2*g - 115 = -5*y. What is the remainder when (2058/(-35))/(j/5) is divided by y?
22
Suppose 0*y = 4*y - 24. Let o(j) be the first derivative of j**3/3 + 8*j**2 + 20*j - 73. Calculate the remainder when y is divided by o(-15).
1
Suppose n + 2*a = 206 + 78, 2*a = -2*n + 558. What is the remainder when n is divided by 139?
135
Let j be (1/(-3) - (-440)/24) + 2. Let m be (27/(-18))/((-6)/20). Suppose 3*t + 0*t = 2*w - 58, -m*t = j. Calculate the remainder when w is divided by 5.
3
Let m(r) = 13*r + 8 - 5*r + 0*r - 5*r - r**2. Let i be m(5). What is the remainder when 80 is divided by ((-14)/(-4))/(i/(-12))?
17
Let v = -298 - -302. Suppose -51 = -3*f - 0*f - 2*k, 0 = v*k. What is the remainder when 118 is divided by f?
16
Suppose -103 = 4*n - 19. Let s = 7 - n. What is the remainder when 15 is divided by (2 + -1)/(7/s)?
3
Let c(z) = 4*z**2 - 8*z + 11. Suppose -14*j = -379 + 127. Let n be (-15)/j*(7 - 13). What is the remainder when c(n) is divided by 19?
14
Let h = -5305 - -5462. What is the remainder when h is divided by 52?
1
Let h(x) be the first derivative of 20*x**3/3 - 13*x**2/2 + 24*x + 43. What is the remainder when h(2) is divided by 31?
16
Let z = -8312 + 8426. What is the remainder when 3072 is divided by z?
108
Let j = -10328 - -10557. What is the remainder when j is divided by 61?
46
Let a = -78 - -103. Suppose 0 = -x - 5*t + 103, 4*x - 20*t = -a*t + 427. What is the remainder when x is divided by 20?
8
Let v(n) = 114*n**3 + n**2 - 4*n + 2. Let s be v(1). Let r = s - 70. Calculate the remainder when r is divided by 13.
4
Calculate the remainder when ((-6)/10)/((-475)/738625) is divided by 73.
57
Suppose -2*q + 12 = 4. Suppose 2*f + 63 = 4*d - 51, -d + 42 = q*f. Calculate the remainder when d is divided by 19.
11
Let t be (9/6)/(5/(-180)). Let n = -38 - t. What is the remainder when 42 is divided by n?
10
Suppose -4*i + 4*u - 35 = -5*i, -5*u = 4*i - 195. Suppose 9526*h + 24766 = 4888*h + 4760*h. What is the remainder when h is divided by i?
38
Suppose 12859 = 15*z - 4*z. Suppose -863 = -4*h + z. What is the remainder when h is divided by 73?
70
Let s(n) = -18*n + 13*n - 24*n**2 - 47 + n**3 + 44*n + 28*n. What is the remainder when s(21) is divided by 19?
18
Suppose 6*r + 32 - 368 = 0. Let s = 1630 - 1600. Calculate the remainder when r is divided by s.
26
Suppose 828 - 25 + 577 = 20*z. Calculate the remainder when 142 is divided by z.
4
Let y be ((-3)/(-6))/(69/(-18) + 4). Suppose -3*q + 51 = 4*f, -4*f + 3*f = -y*q + 36. Let u = 123 - 46. What is the remainder when u is divided by q?
12
Suppose 446 = 20*v + 1166. Let h = 74 + v. Let m(n) = 13*n. Calculate the remainder when h is divided by m(1).
12
Let y = 196 + -182. Suppose -29*k + 6493 = y*k. What is the remainder when k is divided by 11?
8
Let w(f) = 12*f + 32. Let b be w(-2). Suppose 5*z = 3*i + 15 + b, -3*i - 3 = 0. Calculate the remainder when 9 is divided by z.
1
Let a = 1769 + -1760. Let g = 168 + -68. Calculate the remainder when g is divided by a.
1
What is the remainder when ((-45)/2)/(146/(-876)) is divided by 80?
55
Let q = 34335 - 34321. Calculate the remainder when 27970 is divided by q.
12
Let h = -5262 + 5635. What is the remainder when h is divided by 50?
23
Suppose -15421 = -17*o - 14724. Calculate the remainder when 1923 is divided by o.
37
Let t = -126 + 105. Suppose 3*y - 90 = -0*y. What is the remainder when (-10)/35 - (3609/t)/3 is divided by y?
27
Suppose -490 - 238 = -o. Suppose 96*m - 88*m - o = 0. Calculate the r