t n be w(6). Suppose 0 = -q + 16 + n. Calculate the remainder when q is divided by 12.
11
Let j(h) = -2*h**2 + 9 + 10*h - 2*h**2 + 3*h**2. What is the remainder when 53 is divided by j(9)?
17
Let w = -12 + 11. What is the remainder when 11 is divided by w - 0 - (-9 - -2)?
5
Suppose -i = 5*i - 84. What is the remainder when 52 is divided by i?
10
Suppose 0 = 7*u - 70 - 21. Calculate the remainder when 232 is divided by u.
11
What is the remainder when 29 is divided by 2 - (56/2)/(-2)?
13
Let d = -5 - -9. What is the remainder when 22 is divided by (-1)/(0 - d/32)?
6
Let c(t) be the third derivative of -t**6/120 + 3*t**5/20 - t**4/4 - 4*t**3/3 + t**2. Let j = 35 + -4. Calculate the remainder when j is divided by c(8).
7
Let l = -4 - -6. Suppose -c - l*c + 21 = 0. What is the remainder when c is divided by 21/6 - 1/2?
1
Let l = -5 - -2. Calculate the remainder when (-1)/3 - 58/(-3) is divided by 20/(5 + -3) + l.
5
Let l(m) = m**2 - 6*m + 9. Suppose -6*q + 16 = -2*q + 2*o, -3*q - 4*o + 17 = 0. Suppose x + 34 = q*x. Calculate the remainder when x is divided by l(6).
8
Suppose -5*q - 35 = -l, 2*l + 2*q - 18 = -q. Calculate the remainder when 57 is divided by l.
12
Suppose -4*c = -2*c + x - 34, -4*c + 80 = 5*x. Suppose 149 = 5*p - 3*t, -4*p + 5*t + 118 = 3*t. Calculate the remainder when p is divided by c.
13
Suppose 23*k - 24*k = -141. What is the remainder when k is divided by 36?
33
Let j = 5 - 5. Let g = j + 5. Suppose 4*k - g*m = -9, -m + 3 = -k + 2. What is the remainder when k is divided by 3?
1
Let o be (1 + 2)*2/(-3). Let p = -30 + 31. Calculate the remainder when (o/(-2))/(1 + 0) is divided by p.
0
Let v(z) = 5*z + 2. Let q be v(-2). Let i = -2 - q. What is the remainder when 11 is divided by i?
5
Let i = 58 - 35. Suppose 2*m - 3*r - i = -0*m, -2*r = 3*m - 28. What is the remainder when 7 is divided by ((-4)/m)/(3/(-30))?
3
Let k(n) = -4*n - 8. Let q(c) = c**3 + 4*c**2 - 3*c + 1. What is the remainder when k(-8) is divided by q(-4)?
11
Let l = 44 - 23. Let f = -14 + 9. What is the remainder when l is divided by (-3 - (2 + f)) + 12?
9
Suppose 0*l + 100 = 4*l. Suppose -15 = -5*o - 5*b, 0 = 4*o - o + 5*b - 3. Let a = 15 - o. What is the remainder when l is divided by a?
7
Let j be 4/(-10) - (-122)/5. Suppose -3*l + j = -15. What is the remainder when l is divided by 4?
1
Let g = -1 - -23. Let w = 93 - 28. Calculate the remainder when w is divided by g.
21
Let z(g) = 2*g + 4. What is the remainder when 21 is divided by z(4)?
9
Let v = 620 + -415. Suppose -5*r + 35 + v = 0. What is the remainder when r is divided by 17?
14
Let p be (-3)/1 + 2 + 10. What is the remainder when 70 is divided by (p - 0)*(-4)/(-2)?
16
Let o(l) = l**3 - 4*l**2 + 4*l - 3. Let s be o(3). Suppose 2*g - 4 - 6 = s. Let q = 15 + -6. Calculate the remainder when q is divided by g.
4
Let x(s) = -6*s - 10. Calculate the remainder when x(-12) is divided by 16.
14
Suppose 2*d + 2*t = -t + 53, t = -d + 28. Calculate the remainder when 91 is divided by d.
29
Suppose 0 = 4*a + 3*r - 12, -2*a + 5*r - 20 = -3*a. Suppose a*n - 3*n = -i - 47, n + 2*i = 4. Calculate the remainder when 40 is divided by n.
12
Suppose 23 = 4*j + 5*f, -9*j + 2*f = -4*j - 4. Suppose 7*h = j*h + 40. What is the remainder when 23 is divided by h?
7
Let i = 54 + -11. Let m = i + -26. Calculate the remainder when 32 is divided by m.
15
Suppose -4*z = -8*z + 76. What is the remainder when z is divided by 7?
5
Let m = -58 + 83. Suppose -f - 3 + m = 0. What is the remainder when f is divided by 12?
10
Suppose 2*d - 30 = 5*p, 6*d - 5*d - 4*p - 18 = 0. What is the remainder when 38 is divided by d?
8
Suppose 3*a - 1 = 5*p, 3*p + 4*a - 3*a + 9 = 0. Calculate the remainder when ((-4)/2*3)/p is divided by 1.
0
Calculate the remainder when 4 is divided by (0 + -1)/(6/(-12)).
0
Let l = 3 - 1. Suppose 3*b - 64 = -7*a + l*a, 30 = 2*a - b. Calculate the remainder when 55 is divided by a.
13
Let j = -3 + 41. What is the remainder when j is divided by 10?
8
Let w = -97 - -188. What is the remainder when w is divided by 20?
11
Let g(z) = -z**2 - 12*z - 9. Let j be g(-11). Suppose -j*l - 4 = p - 42, 0 = 4*l + 4*p - 80. Calculate the remainder when 32 is divided by l.
14
Let f(s) = -53*s**3 - 2*s**2 - s. Let k be f(-1). Let q = k - 0. What is the remainder when q is divided by 18?
16
Let c(n) = -15*n - 40. What is the remainder when 37 is divided by c(-4)?
17
Suppose 0 = -3*y + 31 + 29. Calculate the remainder when y is divided by 6.
2
Let a(i) = -i**3 + 8*i**2 - 8*i + 6. Let r = -7 + 5. Let c be (-2)/(-4) - 11/r. What is the remainder when a(c) is divided by 8?
6
Let g = -8 + 4. What is the remainder when (-9)/(-6) - 74/g is divided by 7?
6
Let z(t) = -30*t + 67. Calculate the remainder when z(-6) is divided by 50.
47
Let j = 34 + 11. Suppose 0 = -d - 4*d + 60. Calculate the remainder when j is divided by d.
9
Calculate the remainder when 4/(-18)*69*(-3)/2 is divided by 4.
3
Suppose -t = -4*k - 6*t - 34, -14 = k + 4*t. Suppose 2*o - 7 + 1 = 0. What is the remainder when o is divided by k/(-4)*(-4)/(-3)?
1
Let m = 43 - 19. Calculate the remainder when 43 is divided by m.
19
Suppose 12 = j - 3*l, -4*l = -2*j + 29 - 3. Suppose 4*o = 108 + 8. What is the remainder when o is divided by j?
14
Suppose -19 = -5*q + 6. Suppose -32 = -q*u - 5*y - 2, -36 = -5*u - 3*y. Calculate the remainder when u is divided by 5.
4
Let v(p) = p - 3. Let w be v(0). Let b(n) = 3*n**2 - n - 4. What is the remainder when b(w) is divided by 9?
8
Let b(i) = -7*i**2 - i - 2. Let t be b(2). What is the remainder when (-9)/6*1*t is divided by 10?
8
Let o(a) = -a**3 + 4*a**2 + 7*a - 7. Let t be o(5). Let q(f) = 2*f**2 - 3*f - 3. Calculate the remainder when 11 is divided by q(t).
5
Let x = 31 + 23. Calculate the remainder when x is divided by 11.
10
Suppose 2*r + 3*r - 40 = 0. Calculate the remainder when 28 - (-19)/((-38)/12) is divided by r.
6
Let o(c) = -c + 3. Suppose -5*r = 3*d - 24, 7*r - 5*d = 2*r. Let z be o(r). What is the remainder when 47 is divided by (-3)/(-9)*z + 12?
11
Calculate the remainder when 180 is divided by (183*(-16)/72)/((-2)/3).
58
Let o be (-2 + 5)*(-105)/9. Let p = 84 + o. What is the remainder when p is divided by 17?
15
Suppose 5*p + 24 = 6*p. Let r be (-1)/(-3)*(2 + 7). Suppose r*i + 5*x - 14 = 0, -2*i - x = -5*x - 46. Calculate the remainder when p is divided by i.
11
Suppose 4*r = 5*g - 367, 2*g - 4*r = -3*r + 145. What is the remainder when g is divided by 18?
17
Let r(d) = 3*d**2 + 5*d - 4. Let m be 74/(-14) + (-2)/(-7). Calculate the remainder when r(m) is divided by 16.
14
Let w(y) = 2*y**2 + 9*y + 3. Let p(o) = o**3 + 3*o**2 - 4*o - 1. Calculate the remainder when w(-6) is divided by p(-3).
10
Let r(i) = i + 5. Let m be r(-6). Suppose -54*j + 51*j = -81. Let x = j + m. What is the remainder when x is divided by 14?
12
Let a(f) = 7*f. Let j be a(2). Suppose -3*i - u = -52, -j - 10 = -2*i + 2*u. Calculate the remainder when 47 is divided by i.
15
Suppose 3*a - x + 0*x = 4, -3*a + 16 = 5*x. Let g(i) = -4*i**a + 2*i**3 - 7*i - i**3 + 0*i**2 - 4. Calculate the remainder when g(6) is divided by 14.
12
Suppose 29*q - 30*q = -19. Calculate the remainder when q is divided by 4.
3
Let m = 1 - -20. Let o(i) = -9*i + 9. What is the remainder when o(-8) is divided by m?
18
Let q(o) = 2*o - 14. Let j be q(7). Let l(g) = -g. Let h be l(0). Suppose a - 2*i - 5 = j, i = -h*i - 1. What is the remainder when 8 is divided by a?
2
Let t(o) be the first derivative of -7*o**2 + 4*o - 3. Calculate the remainder when t(-3) is divided by 12.
10
Let s(o) = -o**3 - 3*o**2 + 6*o - 3. Calculate the remainder when s(-5) is divided by 6.
5
Let s = -91 - -127. Calculate the remainder when s is divided by 13.
10
Let n(j) = -j**3 + 6*j**2 + 5. Let q be n(6). Let y(r) = -r**3 + 7*r**2 - 5*r - 7. Calculate the remainder when 53 is divided by y(q).
17
Let i = 8 - 8. Suppose 4*g + 4 = i, 2*x + g - 10 = 3*g. Calculate the remainder when 9 is divided by x.
1
Suppose -5*o - y = -43 - 62, 0 = -5*y + 25. Calculate the remainder when o is divided by 7.
6
Suppose -h - r = -0 - 6, 4*r = 0. Let d = h + -7. Calculate the remainder when -1 - (-2 + -44 + d) is divided by 12.
10
Let z be ((-10)/(-7))/((-2)/(-14)). Let k = z - 6. Calculate the remainder when 6 is divided by