r when w is divided by 12.
8
Suppose -2*h + 52 + 156 = 0. What is the remainder when h is divided by 35?
34
Let d(g) = 3*g**2 - 28*g + 29. Calculate the remainder when d(12) is divided by 18.
17
Let x be 0 - 1/(-2)*0. Suppose 0*v - 3*v + 114 = x. What is the remainder when v is divided by 13?
12
Suppose -4*n = -2*n - 28. Suppose 0 = 3*i - 12 - 12. What is the remainder when n is divided by i?
6
Let h(u) = -6*u**3 + u**2 + 2*u + 3. Calculate the remainder when h(-2) is divided by 13.
12
Suppose -4*q + 28 = -24. Calculate the remainder when q is divided by 8.
5
Suppose 3*h - 2 = -4*r + 9, 5 = 2*r + h. Let z be (-2)/(-5)*(-2 - -22). Let i = r + z. Calculate the remainder when i is divided by 4.
2
Let u(d) = 8*d - 7. Let g be ((-88)/(-33))/(2/6). Let q = 19 - g. Calculate the remainder when u(6) is divided by q.
8
Let t = 23 - 9. Calculate the remainder when 83 is divided by t.
13
Let q = -3 - 2. Let g = q + 10. Calculate the remainder when 13 is divided by g.
3
Suppose 5*p = -2*f - 20, 12 = 2*f - 0*p - 3*p. Calculate the remainder when 14 - (3 - f/3) is divided by 6.
5
Let v(d) be the third derivative of d**6/120 + d**5/30 - d**4/12 - d**3/6 + 7*d**2. Calculate the remainder when 3 is divided by v(-2).
0
Let q(i) = 4*i**2 - i - 4*i + 4*i + i**2. What is the remainder when 53 is divided by q(2)?
17
Suppose 4*a = -4, 3*d - 2*a - 45 = 17. What is the remainder when (2 - (-51)/(-12))*(-208)/6 is divided by d?
18
Calculate the remainder when 27 is divided by 11/((-2)/(1 + -3)).
5
Let b = -1 - -4. Suppose 0 = -t + b*t - 6. Calculate the remainder when 4 is divided by t.
1
Let q(z) be the third derivative of -z**4/8 - 4*z**2. Calculate the remainder when 28 is divided by q(-5).
13
Suppose 63 = -s + 22*s. Suppose 3*n - 8 - 7 = 0. Calculate the remainder when n is divided by s.
2
Let u(h) = -23*h**3 + 2*h + 1. Let i(f) = -f + 8. What is the remainder when u(-1) is divided by i(0)?
6
Suppose -3*a + 10 = -35. Calculate the remainder when 50 is divided by a.
5
Let a = 58 + -24. Let l(x) = -x**3 - 8*x**2 + 3*x + 9. Let k be l(-6). Calculate the remainder when a is divided by (k/6)/(3/(-4)).
16
Suppose 72 = 5*j - f, 0*j - 52 = -4*j - 2*f. Suppose -16 = 5*q + 9. What is the remainder when (-200)/(-6)*(-6)/q is divided by j?
12
Let h(m) = 5*m + 6. Let k(s) = 9*s + 12. Let n(w) = 5*h(w) - 2*k(w). Suppose 4*z - z = 15. What is the remainder when n(z) is divided by 14?
13
Let r = 137 - 91. What is the remainder when r is divided by 12?
10
Let k(z) = 4*z**2 + z - 1. Let y be 0 - 0 - (-8 + 6). Suppose 2 = -y*i + 14. Calculate the remainder when i is divided by k(1).
2
Calculate the remainder when 1/(((-10)/(-110))/(1 + 4)) is divided by 31.
24
Let z be 1 - 3 - -33 - -2. Calculate the remainder when 5 is divided by (-4)/(-22) + 126/z.
1
What is the remainder when -618*7/(-28) - 1/2 is divided by 13?
11
What is the remainder when 94 is divided by (-4)/(-30) + 2380/150?
14
Suppose 0 = 5*v - 2*v - 27. Calculate the remainder when 25 is divided by v.
7
Suppose 46 = 5*v - 14. What is the remainder when (-2 - 1)*(-47)/3 is divided by v?
11
Let u(y) = -y**2 + 13*y + 4. Suppose 2*q - 48 = 3*m, -m = -5 + 1. Calculate the remainder when q is divided by u(12).
14
Suppose 4 = f - 16. Let u(s) = -s**2 - 8*s - 5. Calculate the remainder when f is divided by u(-6).
6
Suppose 0 = t + y - 5*y - 19, -73 = -3*t + 4*y. What is the remainder when 80 is divided by t?
26
Let r(f) be the first derivative of f**2/2 + 3*f - 1. Let n be r(-3). What is the remainder when 18 is divided by (n - -5)*(0 - -2)?
8
Let d = 1 + 3. Let a be (-364)/(-10) - (-6)/(-15). Let k = a + -25. Calculate the remainder when k is divided by d.
3
Suppose -40 = -2*w - i + 6*i, 0 = -2*w + i + 24. What is the remainder when 16 is divided by w?
6
Let c(b) = 6*b**2 - 9*b + 6. Let g(v) = v**3 - v + 1. Let p(h) = -c(h) - g(h). Suppose 2*t + 24 = -t. What is the remainder when p(t) is divided by 14?
13
Let r(w) = -w**2 - w + 3. Let y be r(-3). Calculate the remainder when 22 - -1*(-6 - y) is divided by 10.
9
Let q be 2/12 + 34/12. Let m = 11 - q. What is the remainder when 22 is divided by m?
6
Suppose 4*l - 173 = -3*b, 2*b + 0*l + l - 112 = 0. Calculate the remainder when b is divided by 19.
17
Let c be 16/(-6) - 8/(-12). Suppose -5*f = 54 + 31. Let b = c - f. What is the remainder when 43 is divided by b?
13
Let v = 1 + 0. Suppose -4*n + x = -3*n - 8, x = 2*n - 11. What is the remainder when 1/2*6/n is divided by v?
0
Suppose -2*p - l = -18, -5*l - 15 = -4*p + 49. Suppose -3*c - 15 = -0, -c - 95 = -5*s. Let q = s - p. Calculate the remainder when q is divided by 4.
3
Let f be 2*1 + 3 + -1. Suppose -h + v + 0 + 12 = 0, -v = f*h - 43. What is the remainder when 31 is divided by h?
9
Suppose 4*s - 4 = 0, -3*g + 6*g + 2*s = 185. Calculate the remainder when g is divided by 13.
9
Let a(d) = d + 3. Let h be a(7). Suppose 4*o - 20 = 0, -4*n - h = 4*o + 22. Let c = 47 + n. What is the remainder when c is divided by 12?
10
Let s(d) = 23*d**3 - 2*d**2 + d + 1. What is the remainder when 67 is divided by s(1)?
21
Suppose 0*y + 50 = 5*n - 4*y, -2*n - 4*y = -48. Let a be -4*((-7)/2 + 4). Let z(h) = -6*h**3 - 3*h**2 - 2*h. Calculate the remainder when z(a) is divided by n.
12
Let o(c) = 2*c**2 + 8*c + 9. What is the remainder when o(-7) is divided by 28?
23
Suppose 3*v - 38 = 2*v. Calculate the remainder when 73 is divided by v.
35
Suppose 5*y - 2*f - 19 = 82, -5*f = -5*y + 110. Suppose -5*s + u + y = 3*u, 2*u + 11 = s. Calculate the remainder when (12/(-5))/(3/(-10)) is divided by s.
3
Let k be (-7 - 0)/((-3)/9). Let m = k + -14. What is the remainder when 16/(-4) - (-80)/5 is divided by m?
5
Let j(n) = -n**3 + 6*n**2 - n - 7. Suppose 3 = r - d - 17, 50 = 2*r - 4*d. Suppose -2*a = a - r. Calculate the remainder when 36 is divided by j(a).
10
Let r(z) = z**3 + 7*z**2 + 8*z + 6. Let a be r(-6). Let d = a - -9. What is the remainder when d*(-2 + (-50)/(-6)) is divided by 10?
9
Let v = -18 - -29. What is the remainder when 19 is divided by v?
8
Suppose 5*s = f + 4 + 3, 4 = -4*s + 4*f. Calculate the remainder when 3 is divided by s.
1
Let h(d) = d**3 - 8*d**2 - 8*d + 1. What is the remainder when 25 is divided by h(9)?
5
Suppose -3*c = -5*y + 95, 4*c + 70 = 5*y + 6*c. What is the remainder when y is divided by 5?
1
Suppose -2*l + 16 = 2*d, 3*l - 16 = 5*d + 24. Calculate the remainder when l is divided by 6.
4
Suppose -2*v + 3*n + 41 = 0, v - 3*v + 36 = -2*n. Calculate the remainder when 35 is divided by v.
9
Let r(z) = z**3 - 9*z**2 - 16*z + 13. Calculate the remainder when r(12) is divided by 32.
29
Suppose n - 2 = 22. What is the remainder when n is divided by 12/((-28)/(-105)*5)?
6
Suppose 3*z = 5*i - 21, 3 = 3*i + 3*z - 0. Let t(n) = -5*n + 1. Let x be t(-1). Let h = x + -4. What is the remainder when i is divided by h?
1
Suppose 5*f - 195 = 5*z, 0 = 4*f + 4*z - 254 + 98. What is the remainder when 309 is divided by f?
36
Suppose -2*y = -2, 3*y - 2 = w + 1. Suppose -1 = -4*i + 7. Suppose w*u + 20 = i*u. Calculate the remainder when 29 is divided by u.
9
Let d(z) = -2*z - 1. Let r = 0 + -5. Calculate the remainder when 52/3 - 1/3 is divided by d(r).
8
Let u be 6/(-15) - (-819)/(-15). Let k(w) = 80*w**2 + w - 1. Let v be k(1). Let g = v + u. Calculate the remainder when g is divided by 13.
12
Let f(t) = -t + 4. Let r be f(9). Let z = r + 13. Calculate the remainder when 21 is divided by z.
5
What is the remainder when (-6)/1*(-48)/9 is divided by 17?
15
Let o be 2/5 - 91/(-35). Suppose 13 = o*c - 2. Calculate the remainder when 18 is divided by c.
3
Suppose m + 5*h = -7, h + 0*h + 30 = 2*m. Calculate the remainder when 51 is divided by m.
12
Let v = 108 - 88. What is the remainder when v is divided by 7?
6
Let k be ((-8)/(-4))/((-4)/(-594)). Suppose -k = -2*v - v. What is the remainder when v is divided by 25?
24
Suppose 6*q = 5*q + 6. What is the remainder when q is divided by 2?
0
Let b(d) = 3*d**2 + 2*d - 2. What is the remainder when b(2) is divided by 8?
6
Let n(x) = -x**3 + 6*x**2 + 2*x + 8. What is the remainder when 56 is divided by n(6)?
16
Let q(h) = -h + 2. What is the remainder when 32 is divided by q(-9)?
10
Let k(l) = -l**3 - 5*l**2 - 2*l - 4. Suppose 2*d - 10 = 10. Calculate the remainder when d is divided by k(-5).
4
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