ivided by j.
1
Let r = 356 - 145. Let p = -108 + r. Suppose 20 = -3*l + 5*x + p, 4*x = 4*l - 108. Calculate the remainder when l is divided by 7.
5
Suppose -3*c + 209 = -40. Let j(l) = -111*l + 798. What is the remainder when c is divided by j(7)?
20
Let m = 461 - 20. Suppose -3*p = -3*d - 255, 5*p - d + 0*d = m. What is the remainder when p is divided by 10?
9
Let j(v) = v**3 - 31*v**2 + 186*v - 7. Calculate the remainder when 38 is divided by j(8).
2
Let x(d) = 280*d + 1991. What is the remainder when ((-2)/4)/((-1)/244) is divided by x(-7)?
29
Let q(s) = 2*s - 11 + 8*s**2 + 14 - 16*s**2 + 10*s**2. What is the remainder when 23 is divided by q(-2)?
2
Let u = -323 + 361. What is the remainder when 149 is divided by u?
35
Suppose -8 = -14*j + 12*j. Suppose 4*l - 3*m - 48 = 0, -l - j*m = -0 + 7. What is the remainder when 20 is divided by l?
2
Suppose 2*n - 6 = 0, -2*g + n = 3*n - 20. Suppose 5*k + 67 = 5*a + 322, -5*k + a + 263 = 0. What is the remainder when k is divided by g?
4
Suppose -5*r = 3*x - 14, -4*x = 4*r - 24 - 0. Let y be (-57)/(-21) + (-2)/(-7). Let s = 16 - y. Calculate the remainder when s is divided by x.
5
Suppose -3452*p + 85 = -3447*p. Let f(t) = 32*t**2 - 1. What is the remainder when f(-1) is divided by p?
14
Let n(q) = 5*q - 61. Let l(s) = -s**3 + 6*s**2 + 10*s + 1. Let h be l(7). What is the remainder when n(h) is divided by 13?
10
Let b = -11 + 14. What is the remainder when b - 902/(-8) - (-3)/12 is divided by 30?
26
Let k be (-1422)/8*(-48)/18. Suppose 9*g + k = 15*g. Calculate the remainder when g is divided by 28.
23
Suppose 0 = -0*g + 5*g - 20. Let o = 15 - g. What is the remainder when 41 is divided by o?
8
Suppose 3*z + 5 = d, d + 11 - 22 = -3*z. Calculate the remainder when 158 is divided by d.
6
What is the remainder when 381 is divided by ((-32)/(-36))/(-4) + (-434)/(-9)?
45
What is the remainder when (-12620)/(-25) - (-3)/15 is divided by 10?
5
Suppose -2*q - 1 = -p + 1, -3*q = -4*p + 13. Calculate the remainder when -14*((-54)/4)/q is divided by 48.
45
Suppose -24 = -b - 4*f, -4*b = 3*f - 24 - 7. Suppose b*z - 9 = 115. Suppose -16 = -3*v - 2*a, -6 = v - 3*a - 26. Calculate the remainder when z is divided by v.
7
Let t(p) = 8*p**2 - 3*p + 1. Let v be t(1). Suppose -2*w = v - 50. What is the remainder when 85 is divided by w?
19
Suppose v + v = 2*w - 368, 373 = 2*w - 3*v. Suppose -15 + w = 4*c. Suppose l - 4 = 7. Calculate the remainder when c is divided by l.
8
Suppose 13*u + 380 = 419. What is the remainder when 35 is divided by u?
2
Suppose -3*u = -2*v - 105, -70 = -49*u + 47*u + 5*v. What is the remainder when 66 is divided by u?
31
What is the remainder when 356 is divided by (136/168*7)/(3/27)?
50
Suppose 0 = 37*n - 75 - 110. What is the remainder when 14 is divided by n?
4
Let u = -138 + 66. Let v be (-119)/(-9) - (-16)/u. Suppose v*b - 16*b = -102. Calculate the remainder when 135 is divided by b.
33
Suppose -2*k + 30 = 4*x, k + 0*x - 5 = -4*x. Suppose 2*v + 5*d = -1, v = -0*v + 2*d + 4. What is the remainder when (-2)/v*(-106 + 9) is divided by k?
22
Let c = -3896 + 3914. Let w = 123 - 72. What is the remainder when w is divided by c?
15
Suppose -7*m = -312 - 122. What is the remainder when m is divided by 21?
20
Calculate the remainder when (9/(-6))/(((-102)/560)/17) is divided by 36.
32
Suppose 5 = -s + 3*u, 2*s - 5*u + 7 - 1 = 0. Calculate the remainder when 32 is divided by s + 19 + -5 - 3*1.
14
Let f(s) = -2*s**2 + 20*s. Let j be f(12). Let d = -34 - j. What is the remainder when 181 is divided by d?
13
Let p = -2049 + 2088. Let k(c) = -8*c - 4. What is the remainder when p is divided by k(-3)?
19
Let t be (-15)/25 - 39/(-15). Let n be t/4*(139 + -1). Let y = 9 + n. What is the remainder when y is divided by 20?
18
Suppose -3 = -y + 6. Let m = y - 4. Suppose -55 = -4*s + 17. Calculate the remainder when s is divided by m.
3
Suppose z + 3 = 0, -108*z + 104*z + 23 = 5*k. Suppose 0 = -0*w - 3*w + 78. What is the remainder when w is divided by k?
5
Let r = -688 - -721. What is the remainder when 224 is divided by r?
26
Suppose 0 = -f + 6 - 3. Let l be 63/(-28) + f/(-4). What is the remainder when (-25)/(30/(-9) - l) is divided by 19?
18
Let g = 3 - 3. Let b(q) = q + 8 + q + 16. What is the remainder when 70 is divided by b(g)?
22
Suppose 0*y = -3*y + 5*y. Suppose 2*s + 63 - 135 = y. Calculate the remainder when s is divided by 10.
6
Let m(n) = n**3 + 149. Let c = 65 - 65. Calculate the remainder when m(c) is divided by 38.
35
Let k = 9 - -102. Let n = k + -68. Suppose -77 = 12*d - 341. Calculate the remainder when n is divided by d.
21
Let q(o) be the second derivative of -o**5/20 + o**4/3 - o**3 + 2*o**2 + 7*o. Let d be q(4). Let z = d + 90. Calculate the remainder when z is divided by 24.
22
Let d(w) = w**2 - 5*w + 4. Let c be d(5). Suppose 0 = -c*l - 8, 5*l + 208 = 3*q - q. Suppose -q - 3 = -2*m. What is the remainder when m is divided by 13?
12
Suppose -128 = -4*v + 58*s - 54*s, -2*v + 64 = 2*s. What is the remainder when 190 is divided by v?
30
Let g be -6*((-33)/(-9) + -1). Let t = 21 + g. What is the remainder when t is divided by 3?
2
What is the remainder when -8*11/(-176) - 190/(-4) is divided by 13?
9
Suppose -4*x - 414 = -3*q, -3*x + 676 = 5*q - 43. What is the remainder when q is divided by 48?
46
Suppose -667 - 1724 = -3*x. What is the remainder when x is divided by 14?
13
Let c be -9 + (-9)/((-36)/(-16)). Let m = 48 - c. What is the remainder when m is divided by 32?
29
Let v be -1 + -13 + -2 + 2. Let n = v + 40. Let l(b) = 20*b - 4. What is the remainder when l(4) is divided by n?
24
Suppose 2*r + 60 + 430 = 4*k, 5*r = -3*k + 374. Calculate the remainder when k is divided by 32.
27
Suppose k - 322 - 5222 = o, 5*k - 3*o = 27714. What is the remainder when k is divided by 22?
19
Let a(d) = d**3 + 7*d**2 - 8*d + 3. Let f be a(-8). Suppose 4*m - b - 35 = 0, m + f*b = -3*m + 55. Calculate the remainder when 57 is divided by m.
7
Suppose 4*b + 47 = 2*v + 13, 0 = -5*v + 25. Let z = b - -25. Calculate the remainder when 73 is divided by z.
16
Suppose 0 = 6*l - 11*l + 30. Let a = 9 - 8. What is the remainder when (-22)/(-1)*(a - 0) is divided by l?
4
What is the remainder when 142 is divided by -3*(-1)/(-15) - (-1086)/30?
34
Suppose -54*o + 1628 = -43*o. What is the remainder when o is divided by 77?
71
Let c = 2724 + -2424. Calculate the remainder when c is divided by 37.
4
Let d = 27 - 24. Suppose d*w - 12 = w. Calculate the remainder when 20 is divided by w.
2
Suppose -2*r - 14*m + 11*m + 19 = 0, r - 37 = 4*m. Calculate the remainder when r is divided by 6.
5
Let k = 1019 + -717. Calculate the remainder when k is divided by 107.
88
Suppose -3*y + 282 = 126. What is the remainder when y is divided by 30?
22
Let f = -243 + 421. Calculate the remainder when f is divided by 12.
10
Let d be ((-4)/10)/((-1)/10). Suppose 4*i + 0*q = -q + 3, -d*q = 2*i + 16. Let f = i - -12. Calculate the remainder when 27 is divided by f.
13
Let j = -1325 + 1720. What is the remainder when j is divided by 127?
14
Suppose 2 + 232 = c. Let a = 16 + 35. What is the remainder when a is divided by ((-4)/(-6))/(12/c)?
12
Let p = -9 + 48. Suppose -161 = -b - 2*k, 29*b = 27*b + k + 302. Calculate the remainder when b is divided by p.
36
Let j(x) = -x**2 - 3*x + 9. Let z be j(0). Suppose -66 = z*s - 11*s. What is the remainder when s is divided by 1 + (2 - (1 + -7))?
6
Suppose 5*x + s - 22 = 75, -4*x + 4*s = -92. Suppose -19*u = -18*u - 97. Calculate the remainder when u is divided by x.
17
Let i(n) be the first derivative of 3*n**2/2 + 413*n + 6. Let f be i(0). Suppose 0 = -6*l + 31 + f. Calculate the remainder when l is divided by 19.
17
Suppose -2*d = 5*w - 110, -42*d + 152 = -39*d + w. What is the remainder when d is divided by 13?
11
What is the remainder when 9 - (8 - (-5369)/(-7)) is divided by 77?
75
Suppose 78*g - 21375 = 63*g. What is the remainder when g is divided by 68?
65
Let o(f) = f + 2. Let g be o(2). Suppose 106 = 5*r - g*p, 6*p = 2*r + 4*p - 42. Let j(l) = l**3 - l + 65. Calculate the remainder when j(0) is divided by r.
21
Let p = -31 - -33. Let r be 1/p - 254/4. Let s = r - -109. Calculate the remainder when s is divided by 7.
4
Let u = -7 - -3. What is the remainder when -4 - (-39)/3 - u is divid