 23*f - 28*f - 3*m + 523. Calculate the remainder when f is divided by 21.
20
Suppose -563 + 235 = -8*u. What is the remainder when u is divided by 4?
1
Calculate the remainder when -1*511/14*-4 is divided by 45.
11
Let s = -274 - -451. What is the remainder when s is divided by 33?
12
Let g(o) = -o + 6. Let n be g(0). Suppose 5*m - n*m + 22 = 0. Let l = m - -7. Calculate the remainder when l is divided by 16.
13
Let t(p) = 3*p + 96. What is the remainder when (-104)/(-5) + 2/10 is divided by t(-28)?
9
Calculate the remainder when ((-6)/(-5))/(150/23500) is divided by 48.
44
Suppose -189 = -12*j + 9*j. Suppose j = 4*r + 3*l, 20 = -2*r + 3*r + 5*l. Calculate the remainder when 58 is divided by r.
13
Suppose 37*l = 33*l + 108. Let n = 42 - 27. What is the remainder when l is divided by n?
12
Let r(v) = -5*v - 7*v + 13 + 0 - 7*v. Let f be r(-6). Suppose -4*t = 15 - f. Calculate the remainder when t is divided by 8.
4
Let c(s) = -s**2 - 11*s + 9. Let d be c(-12). Calculate the remainder when 20 is divided by d/12 - (-165)/20.
4
Let r = 25 - 51. Let b = 31 + r. Calculate the remainder when 13 is divided by b.
3
Let g = 13642 - 13601. Let i(z) = 3*z**2 - 1. What is the remainder when g is divided by i(2)?
8
Let i(g) = -2*g - 4. Let o be i(-3). Suppose -3*h = o*h - 1255. Suppose -h + 51 = -5*j. What is the remainder when j is divided by 21?
19
Let r(q) = q**3 - 7*q**2 + 6*q - 8. Let s be r(6). Calculate the remainder when (1/7 - s/42)*411 is divided by 28.
25
Suppose o - 2 = 3*o, -w - 4*o + 103 = 0. What is the remainder when w is divided by (-21)/2*12*18/(-81)?
23
Let g = 5 + -3. Suppose g*z + 35 = -3*u + 108, 4*z + 104 = 4*u. Let k(w) = -w**3 - 12*w**2 + 12*w - 6. Calculate the remainder when u is divided by k(-13).
4
What is the remainder when (-2)/((-1)/(-3)*(-27)/702) is divided by 21?
9
Suppose 5*q + 4*y = 45, -q + 16 = 4*y - 9. Suppose 3*d + 1 = 10, -2*l = -q*d + 5. Calculate the remainder when 23 is divided by l.
3
What is the remainder when (92/(-253))/(6/(-1551)) is divided by 42?
10
Suppose -8 = -2*c + 44. Let r = -633 + 639. What is the remainder when c is divided by r?
2
Let h(s) = 4*s + 57. What is the remainder when (-3)/9 - 542/(-6) is divided by h(-11)?
12
Let o be 4*((-5)/(-2))/(-5) + 29. Let u = o - 23. Calculate the remainder when u is divided by 4.
0
Suppose 4*u = -2*x - 134, -5*x - 35 + 10 = 0. What is the remainder when 92 is divided by 2/(-4) + 1/2 - u?
30
Calculate the remainder when 97 is divided by 810/216 - 3/4.
1
Let k(w) = 2*w + 5. Let i be k(0). Suppose -y = -i*y. Suppose -d + 3 + 17 = y. What is the remainder when 77 is divided by d?
17
Let r(t) = -t**3 - 4*t**2. Let q be r(-4). Suppose q = l + 17*l - 1116. What is the remainder when l is divided by 7?
6
Suppose 0*b - 6*b + 6 = 0. What is the remainder when 152 is divided by (-2 - (48 + b))*-1?
50
Let p = 15 + -2. Let l be ((-3)/(-4))/(4/16). Suppose j - 6*j = -x - 34, 4*x + l = j. Calculate the remainder when p is divided by j.
6
Suppose -3*k + k - 2 = 0, -3*o - k = -5. Suppose 0 = 10*m + 5*m - 45. Calculate the remainder when m is divided by o.
1
Suppose 0 = -j + 5, -2*j = 4*x - 5*j - 69. Suppose -3*z + 0*z = -36. What is the remainder when x is divided by z?
9
Let c(h) = -24*h - 3. Let f be c(-7). Suppose 0 = 6*g - g - f. Suppose 3*l = p + 19, -4*l - g + 90 = 5*p. What is the remainder when 30 is divided by l?
6
Let d(s) = -s**3 - 3*s**2 - 3*s + 2. Let i be d(-3). Let t = -17 + i. What is the remainder when 3 is divided by t*-1*(-4)/(-8)?
0
Let o(w) = w + 12. Calculate the remainder when 16 is divided by o(-7).
1
Let r = 2 - -3. Let q(h) = h**3 + 8*h**2 + 13*h + 4. Calculate the remainder when q(-5) is divided by r.
4
Let c = 532 + -527. Let m = -1 - -9. What is the remainder when m is divided by c?
3
Let a = -12 + 12. Suppose v - k - 8 = -3*k, -4*v + 4*k + 32 = a. Calculate the remainder when 31 is divided by (-148)/(-18) - v/36.
7
Suppose 7*f - 6*f = 5*c - 186, 0 = -3*c - 5*f + 106. Calculate the remainder when 72 is divided by c.
35
Suppose 0 = -17*u + 12*u - 5*d + 805, -2*d + 482 = 3*u. What is the remainder when u is divided by 41?
37
Suppose 4*s + 3*x = 355, -2*s + 5*x + 150 = x. Calculate the remainder when 259 is divided by s.
4
Let c(b) = b**3 + 20*b**2 + 20*b + 19. Let i be c(-19). Calculate the remainder when (-308)/(-7) + i + -2 is divided by 16.
10
Suppose 2*s + t = s + 31, 3*t = -s + 33. Let g(q) = 6*q**2 - 21*q + 26. Calculate the remainder when s is divided by g(3).
13
Suppose -w + 6*w = 50. What is the remainder when (-6)/8 + (-216)/(-32) is divided by w/35 - (-19)/7?
0
Let n = 61 + -57. Suppose 0 = n*g + 274 - 646. Calculate the remainder when g is divided by 32.
29
Let a be (2 - -6 - -1)/((-11)/(-44)). Suppose a = -79*g + 82*g. What is the remainder when g is divided by 8?
4
Let z(c) = c**3 - 6*c**2 + 97*c - 565. Let l be 1/2 - (-263)/2. Suppose -3*r = -r - l. What is the remainder when r is divided by z(6)?
15
Calculate the remainder when 285 is divided by -4*7/84*-213.
1
Suppose 2*m + 130 = 3*m. Let c = -1059 - -1070. Calculate the remainder when m is divided by c.
9
Suppose 3*g + 20 = 2*i + 6, i - 7 = -2*g. Suppose 0 = -n + 1, -4*m - i = -5*n + 22. What is the remainder when 28 is divided by 3/m - (-21)/2?
8
Let o be (9 - 3)*4/6. Suppose -5*t + 2*q = -o, 4*t = -q + 2*q + 5. Suppose 4*p - 20 = -5*w + 13, 0 = 3*w - 15. What is the remainder when p is divided by t?
0
Let r(w) = w**2 + 10*w - 2. Let h(c) = 2*c**2 + 11*c - 3. Let s(i) = -3*h(i) + 4*r(i). Calculate the remainder when 41 is divided by s(3).
1
Let h(z) = z**3 - 5*z**2 - 7*z - 5. Let w be h(9). Suppose 0*m + 5*o = -4*m + 270, -2*o - w = -4*m. Calculate the remainder when m is divided by 22.
21
Let b(i) = i**2 + 3*i + 6. Let f(v) = v**3 + 8*v**2 - 11*v + 21. Let o be f(-10). Let p = o + 75. Calculate the remainder when b(-4) is divided by p.
4
Let s(v) be the second derivative of -v**2 + 1/6*v**3 - 6*v + 0 + 5/4*v**4. Calculate the remainder when s(-2) is divided by 19.
18
Let v(a) = 35*a**2 - 9*a - 3. Let c(z) = 2*z - 22. Let l be c(10). What is the remainder when v(l) is divided by 12?
11
Suppose -5*w = 2*x - 38, 5*x - 3*x = -2*w + 32. Suppose -312 + 62 = -2*n. Calculate the remainder when n is divided by x.
13
Let h(a) = -a**3 - 4*a**2 - a + 9. Let f be h(-3). Let w = 8 + f. What is the remainder when 40 is divided by w?
7
Let o be -1*(-1 - 9/3). What is the remainder when 89 is divided by 1 - -1 - (o - 21)?
13
Suppose 139 = 8*s + 27. What is the remainder when 166 is divided by s?
12
Suppose 2 + 4 = -2*i, 0 = 5*c - 2*i - 226. Let u(q) = 4*q - 8. Let n be u(6). Suppose -44 - n = -4*z. What is the remainder when c is divided by z?
14
Let g(k) = 13*k + 434. Calculate the remainder when 128 is divided by g(-33).
3
Let r = -4 + 9. Let w be 1/(-5) - (-24)/(-5). Let f = w + 9. Calculate the remainder when r is divided by f.
1
Let a(f) = f**3 + 2*f**2 - 2*f + 2. Suppose -g - 1 = -3. Calculate the remainder when 344*(-18)/(-144) - 8/2 is divided by a(g).
11
Suppose -3*t - 146 = -a, -196 = -5*a - 4*t + 591. Calculate the remainder when a is divided by 35.
15
Suppose 2*a - 730 = -5*x - 2*a, -4*x + 605 = -a. What is the remainder when x is divided by 51?
48
Let g = 108 + -2. What is the remainder when g is divided by 28?
22
Let m(b) = b**2 - 8*b + 2. Calculate the remainder when 74 is divided by m(-2).
8
Let h(o) = o**3 + 15*o**2 + 5*o - 193. Calculate the remainder when 238 is divided by h(-13).
78
Suppose 8*f + 30 = 2*f. Let o(r) = r**3 + 6*r**2 + r + 8. Calculate the remainder when 54 is divided by o(f).
26
Let c = -65 + 85. Let b(i) = -i - 8. Let r be b(-8). Suppose r = 4*p + 3*d - 7*d - 324, 0 = -5*p - 5*d + 375. Calculate the remainder when p is divided by c.
18
Let c(d) = 4*d**2 - 23*d - 1. Let k(v) = 10*v - 4. What is the remainder when c(8) is divided by k(4)?
35
Let s(o) = -5*o**3 - 2*o**2 - 4*o - 2. Let g be s(-1). Suppose -53 = -g*y - 5*v + 27, 3*v - 18 = -y. What is the remainder when 87 is divided by y?
12
Suppose -1075*n = -1085*n + 250. What is the remainder when 1974 is divided by n?
24
Suppose -j + 2*o - 13 = 0, -o = -3*j + 3*o - 29. Let b = -2 - j. Let l(z) = -z**3 - 3*z**2 + 5*z + 6. What is the remainder when l(-4) is divided by b?
0
Let m = 8 - 2. What is the remainder