 5*a - 12 - 18 = -k*b, -b = -a - 2. What is the remainder when s(-4) is divided by a?
0
Let k = 38 + -139. Let c = -89 - k. Calculate the remainder when 80 is divided by c.
8
Suppose 0 = -2*m - 70 - 72. Let d = 94 + m. Let q = 29 - d. What is the remainder when 10 is divided by q?
4
Let i(j) = -109*j + 620. What is the remainder when i(3) is divided by 13?
7
Let m(t) = t**2 + t - 9. Let k be m(3). Suppose 0 = k*g - 11 - 1. What is the remainder when 6 is divided by 11/4 - (-2 + 7/g)?
0
Suppose -3672 = -18*y + 180. What is the remainder when y is divided by 15?
4
Let r = 3122 - 1655. What is the remainder when r is divided by 22?
15
Suppose x - 2*x - 102 = -3*t, 5*x - t = -454. Calculate the remainder when (-9)/x + (-618)/(-20) is divided by 18.
13
Calculate the remainder when 180114/(-165)*(-3)/2 - (-2)/(-5) is divided by 126.
125
Suppose 0 = 20*y - 3827 + 2407. What is the remainder when 1839 is divided by y?
64
Suppose 35*c = 32*c + 24. What is the remainder when (c/9)/4 + (-2870)/(-45) is divided by 3?
1
Let q(t) = -t**2 - 5*t + 7. Suppose 4*u - 13*u = 0. Suppose u = a + 4*a - 10. Calculate the remainder when q(-3) is divided by a.
1
Suppose 8*o + 3552 = 56*o. Calculate the remainder when 222 is divided by o.
0
What is the remainder when 60 is divided by 4/(-2)*5096/(-208)?
11
Calculate the remainder when 12 - (-4 + 16 - 1182) is divided by 92.
78
Suppose -5*p = 4*o + 354 - 706, 3*o = -p + 264. What is the remainder when 8974 is divided by o?
86
Let k = -218 - -220. Suppose 321 = k*c - g, 4*g - 783 = -9*c + 4*c. What is the remainder when c is divided by 23?
21
Let p = 49 + -32. Suppose -9*k = 12 - 30. Suppose -d + k*m - 8 = -4*d, -3*m + 14 = 5*d. Calculate the remainder when p is divided by d.
1
Let x(p) = p**2 + p. Let c(h) = 6*h**2 - 4*h + 21. Let j(v) = c(v) - 3*x(v). What is the remainder when j(-5) is divided by 34?
29
Let b(z) = -16*z + 64. Suppose -18*p + 23*p + 35 = 0. Calculate the remainder when b(p) is divided by 26.
20
What is the remainder when 342 + ((-26)/(-8) - 10/40) is divided by 110?
15
Suppose 3*s - 462 = 14*r - 17*r, -764 = -5*r - 2*s. What is the remainder when r is divided by 128?
24
Let p = -142 - -147. Let l(r) = -12*r + 80. What is the remainder when 57 is divided by l(p)?
17
Let u(r) = 15*r**2 + 0*r + r**3 + 3*r - 4*r + 16 - 6*r**2. Let c be u(-9). Suppose -5*j = -35 - c. Calculate the remainder when 46 is divided by j.
10
Let l = -20376 - -20384. Calculate the remainder when 2627 is divided by l.
3
Let t(n) = n**3 - 15*n**2 + 59*n - 15. Calculate the remainder when 29 is divided by t(6).
14
Let s = 161 - 145. Suppose -s*j + 15 = -15*j. Calculate the remainder when 88 is divided by j.
13
Suppose 2*a - 14 = 0, 216*m = 215*m - 4*a + 39. Calculate the remainder when 1521 is divided by m.
3
Suppose -2317 = 30*a - 9697. Let m = a - 230. Calculate the remainder when 137 is divided by m.
9
Let c(w) = w**3 + 18*w**2 - 76*w + 116. What is the remainder when c(-19) is divided by 99?
11
Let b(p) be the third derivative of 11/6*p**3 - 4*p**2 + 0 + 0*p - 1/24*p**4. Calculate the remainder when 23 is divided by b(5).
5
Let s = -11984 + 12037. What is the remainder when 7101 is divided by s?
52
Suppose 3*l = 4*a - 9, -5*a + 2*l = -a - 6. Suppose a = 5*m - 6*m + 31. Suppose -15 = -3*x + 36. What is the remainder when m is divided by x?
14
Let o be -4 + (-1)/(3/(-822)). Let y = -186 + o. Suppose -h - 3*r = -2*r - 17, 4*h - 4*r = 68. What is the remainder when y is divided by h?
16
Suppose 2*s + 4 = -2*v, 0 = 2*s - 6*s - 20. Suppose h - 8*f + 3*f + 12 = 0, 37 = 4*h - v*f. Calculate the remainder when 142 is divided by h.
12
Let m(l) = -l**2 - 10*l. Suppose -104 = -43*b - 405. Let y = 12 + 153. Calculate the remainder when y is divided by m(b).
18
Let k(r) = 8*r - 572. Suppose n + n - 3*c = 137, 3*n - 5*c = 204. What is the remainder when n is divided by k(74)?
13
Let m(i) = -i**3 - 6*i**2 - 6*i. Let n be m(-5). Let c = 17 - n. Calculate the remainder when 57 is divided by 1 + -1 - (-1)/(1/c).
9
Suppose -16999 + 129527 - 3367 = 351*l. What is the remainder when 444 is divided by l?
133
Suppose 19 = -5*b - 4*v - 4, -4*b - 22 = 2*v. Suppose 2*h = h + 5. What is the remainder when h is divided by (b - (-60)/8)*(5 - -1)?
2
Let q(u) = 2*u**2 - 10*u + 3. Let k(a) = 2*a**2 - 31*a - 25. Let v be k(19). Let o = -17 + v. What is the remainder when o is divided by q(7)?
29
Let i = -833 + 911. What is the remainder when 2026 is divided by i?
76
Let h(v) = 4*v + 14*v + 47 + 10*v. Let m be h(9). Suppose 2*a = -4, m = 5*u + 2*a + a. What is the remainder when u is divided by 22?
17
Let t = 17089 + -16957. Suppose -2*h = -25 - 21. What is the remainder when t is divided by h?
17
Let b = 5124 - 5015. What is the remainder when 210 is divided by b?
101
Let z = -1678 + 4097. Calculate the remainder when z is divided by 101.
96
Let g(u) = -u**3 + 47*u**2 + 110*u - 511. What is the remainder when 527 is divided by g(49)?
65
Let c(b) = -2*b**2 + 11*b + 60. Let i be c(-10). Let w = -216 - i. What is the remainder when w is divided by 34?
0
Let p be (1/(-15) + 2/(-6))*10. Let z(n) = 6*n - 7*n - 9 - 7*n + 0*n + 5*n**2. Calculate the remainder when z(p) is divided by 13.
12
Let f be 3 + (4 - 3 - -1). Suppose -f*g + 47 = 22. Suppose -5*u = -g*n - 150, -2*u = 2*u + 3*n - 148. What is the remainder when u is divided by 18?
16
Let p(z) = 5*z**2 + 6*z + 2. Let h be p(-3). Suppose 0*a = u + 3*a - h, -63 = -2*u - a. What is the remainder when u is divided by 9?
5
Let l = -9383 - -9582. Calculate the remainder when l is divided by 53.
40
Let v = -34 - -38. Suppose -2*a = -v*a - 58. What is the remainder when 107 is divided by (-4 - a) + 0 + 2?
26
Let s(l) = 6*l + 4. Let v be s(-4). Let g = -22 - v. What is the remainder when (g - 3)*(-3 + 2) is divided by 5?
0
Calculate the remainder when ((-31)/(-2))/((-81)/(-3726)) is divided by 4.
1
Suppose 0 = 33*p + 602 - 2351. Calculate the remainder when 261 is divided by p.
49
Let c(l) = l**3 + l**2. Let z(v) = -5*v**3 - 7*v**2 - 3. Let a(d) = 6*c(d) + z(d). Let h = 177 - 172. Calculate the remainder when a(h) is divided by 33.
31
Let j(i) = i**3 + 3*i**2 - i - 1. Let u be j(-1). Suppose -q = 4*m - 83, 0 = -q + u*m + 61 + 16. Calculate the remainder when q is divided by 41.
38
Suppose 3*b + 2*a - 228 = -a, 0 = -3*a. Suppose 0 = -z + 2*g + 301, 281 = 10*z - 9*z + 3*g. What is the remainder when z is divided by b?
65
Suppose 0 = 425*b - 9878 - 7972. Calculate the remainder when 1925 is divided by b.
35
Let x(z) = -z**3 - 6*z**2 + 4. Let w be x(-6). Let y be -2 + w/(4/67). Let b = -14 + y. What is the remainder when 97 is divided by b?
46
Let g(p) = p**2 - 4*p - 1. What is the remainder when 4 + 5 - (-682)/11 is divided by g(7)?
11
Let j be (-3 - -7) + (-42)/(-6). Suppose 5 - 599 = -j*s. Let h = 144 - s. What is the remainder when h is divided by 19?
14
Let z = -601 + 604. Let w(n) = -32*n + 106. Calculate the remainder when 119/(-1)*-1 - 2 is divided by w(z).
7
Calculate the remainder when (45/18 + -3 + (1 - 1))*-35748 is divided by 14.
10
Let w = 101 - 98. Let j(m) = m**w - m**3 + m + 39 + 2*m**3 - 3*m**3 + 2*m**2. Calculate the remainder when 74 is divided by j(0).
35
Suppose -50*a + 4*p = -52*a + 6848, -3*p - 10326 = -3*a. What is the remainder when a is divided by 18?
16
Suppose -866*s = -95*s - 63*s - 233640. Calculate the remainder when s is divided by (-1044)/(-28) - (-2)/(-7).
34
What is the remainder when (23 + -25)/((-22)/891) is divided by 6?
3
Suppose 7437 + 8328 = 62*k - 21683. Calculate the remainder when k is divided by 54.
10
Let k(h) = -5*h + 6. Let c = -51 + 45. Let p be k(c). Suppose -4*f + f = -p. Calculate the remainder when f is divided by 10.
2
Suppose 3209 = -30*v + 72149. Calculate the remainder when v is divided by 11.
10
Let l(o) = 1449*o - 60. Let p be l(-4). What is the remainder when 8/(-68) - p/68 is divided by 30?
26
Suppose -15 = 4*b - 5*b. Let v(x) = -10*x - 38. Let l be v(-15). Suppose 434*n + l = 438*n. What is the remainder when n is divided by b?
13
Suppose -53*c + 11466 = -67*c. Let v = 845 + c. What is the remainder when 103 is divided by v?
25
Let f(u) = -5*u**3 + u**2 + 23*u + 3. Calculate the remainder when f(-5) is divided by 109.
102
Suppose -i = -3*u - 108 + 479, u + i - 125 