-0. Let k(y) = -4 - b + 6*y + y. Calculate the remainder when k(4) is divided by 8.
6
Suppose -48 = -4*i + 4*z, 0*z + 46 = 3*i - 5*z. What is the remainder when 34 is divided by i?
6
Let k(c) = 15*c + 5. Let i be k(2). Suppose 24 = v - i. Calculate the remainder when v is divided by 20.
19
Let a be 2/7 - (-75)/7. Suppose 2*s + 3 = a. Suppose 0 = 2*b - s*b + 16. What is the remainder when 23 is divided by b?
7
Suppose 4 = -g + 45. Suppose -3*x = d - 61, 4*x + d - 3 = 80. What is the remainder when g is divided by x?
19
Suppose 48 = 4*k + 8*k. Let g be (1 - -245) + 0/2. Suppose w - k - g = -5*b, 157 = 3*b + 2*w. Calculate the remainder when b is divided by 17.
15
Let l be 4/10 - (-6)/(-15). Suppose 5*u + l*x - 87 = -3*x, -5*u = -3*x - 63. Let o(q) = 12*q**2 - 4*q + 3. What is the remainder when o(2) is divided by u?
13
Suppose -d + 2*d - 22 = 0. What is the remainder when 83 is divided by d?
17
Let x be -49 - (2 + -1 + -3). Let a = x - -76. Let w = 9 + 1. What is the remainder when a is divided by w?
9
Let f(l) = 2*l**2 + 2*l + 1. Calculate the remainder when 88 is divided by f(2).
10
Let t be 8 - 1 - (-4 - -4). Suppose 2*o + 13 - 77 = 0. Suppose -t*h = -2*h + 3*k - 45, o = 2*h + 4*k. What is the remainder when 17 is divided by h?
5
Suppose 3 = -2*g - 1, 222 = 4*c - 5*g. What is the remainder when c is divided by 28?
25
Suppose -3*v + 211 = 61. Calculate the remainder when 149 is divided by v.
49
Suppose -15*w = -12*w - 33. Let f = 17 - 11. Calculate the remainder when w is divided by f.
5
Suppose z - 3*s = -2*s + 5, 3*z + 3*s - 3 = 0. Let f = 0 - -5. Suppose 0 = -3*y + m - f*m + 41, -2*m + 24 = 2*y. Calculate the remainder when y is divided by z.
1
Suppose 142 = 6*t - 380. What is the remainder when t is divided by 15?
12
Suppose 3*o - 2*y = 61, -5*o + 3*o - 3*y + 58 = 0. What is the remainder when 91 is divided by o?
22
Suppose -3*q + 95 = -4*c, -2*q + 39 = -5*c - 15. Calculate the remainder when 146 is divided by q.
35
Let k = -20 + 51. Suppose 8*f + 3*v = 3*f + 15, -4*f = -3*v - 12. Suppose -11 = -4*u + f*u. What is the remainder when k is divided by u?
9
Calculate the remainder when (-3 - (39 - 0))/(-2) is divided by 12.
9
Let v(y) = y**2 + y. Let i be v(0). Suppose i = -3*l + 33 - 0. What is the remainder when 31 is divided by l?
9
Suppose -3*d - 4*n + 35 = 3, -5*d = n - 59. What is the remainder when 13 is divided by d?
1
Let q(a) = -a**2. Let v(s) = -s**2 + 7*s + 7. Let c(t) = -t + 8. Let m be c(7). Let b(u) = m*v(u) - 2*q(u). What is the remainder when b(-6) is divided by 1?
0
Suppose 0 = 2*n - h - 145, 5*n - 5*h = -3*h + 360. Calculate the remainder when n is divided by 18.
16
Let p = 34 - 22. Calculate the remainder when 33 is divided by p.
9
Let l be 28/12 + (-2)/(-3). Suppose 27 = l*t + 3*o, -o + 2 = -1. Calculate the remainder when t is divided by 2.
0
Suppose 3*l = -l + 40. Calculate the remainder when 49 is divided by l.
9
Suppose z = 4*v - 530, -4*z + 2*z + 656 = 5*v. Suppose -v = -i - 3*i. What is the remainder when i is divided by 12?
9
Let q = -6 - -8. Let o = -24 + 28. Suppose 2*g + 3 - 1 = -q*w, 4*g - o*w = 36. Calculate the remainder when g is divided by 3.
1
Let t(n) be the first derivative of 12*n**2 + 1. Let f be (-1 - 0)*(5 - 6). Calculate the remainder when 70 is divided by t(f).
22
Suppose -4*m + 34 = 2*t, 2*t + 3*m - 7*m + 6 = 0. Let j(s) = -s**2 + 8*s + 7. Calculate the remainder when 39 is divided by j(t).
11
Suppose -t - 4 = -29. What is the remainder when t is divided by 13?
12
Let s(c) = c**3 - c**2 - c + 3. Let b(y) = 2*y**2 + 2*y - 7. Calculate the remainder when b(4) is divided by s(3).
15
Let u(i) be the first derivative of -i**3/3 + 2*i**2 + 5*i + 1. Calculate the remainder when 12 is divided by u(4).
2
Let y(q) = 31*q**3 - 1. Suppose -7 = 4*p - 43. Suppose 0 = -i + 7 + p. What is the remainder when y(1) is divided by i?
14
What is the remainder when (-8)/12 + 41/3 is divided by 8?
5
Let n(g) be the first derivative of g**4/4 + g**3 + g**2/2 + g - 1. Calculate the remainder when 7 is divided by n(-2).
1
What is the remainder when -158*3/12*-2 is divided by 17?
11
Let i be (-1)/2 + (-1)/2. Let g be i*(0 - (1 + 0)). Let k = g - -7. Calculate the remainder when k is divided by 5.
3
Let s(a) = -a**3 + 9*a**2 + a + 3. Let b be s(9). Suppose 0 = 2*u - 5*l - b, -l = -u - 0*u. Calculate the remainder when -6*(u/(-3))/(-2) is divided by 2.
0
Calculate the remainder when 36 is divided by ((-4)/(-8))/((-2)/(-52)).
10
Let t(f) = -3*f**3 + 3*f**3 - 2*f + f**3 + 6*f**2 + 1. What is the remainder when 24 is divided by t(-6)?
11
Suppose 4*d + n - 121 = 0, d - 4*d + 82 = -n. What is the remainder when d is divided by 15?
14
Suppose -24*f + 108 = -20*f. Calculate the remainder when f is divided by 7.
6
Let n(g) = -10*g**3 + 2*g + 1. Let a be n(-1). Suppose 5 = -3*o - 4. Let u = o + a. What is the remainder when u is divided by 4?
2
Suppose m - 12 = -i + 4*m, -m = 4*i - 9. What is the remainder when (1 - -2)*11/3 is divided by i?
2
Let g(p) = -p**2 - 9*p - 3. Let x be g(-9). Let r = -1 - x. Suppose 0 = r*v - 13 - 7. What is the remainder when 28 is divided by v?
8
Let r = -8 + 11. Suppose 2*b = -b - 2*g + 38, -48 = -4*b - 2*g. What is the remainder when b is divided by r?
1
Let j(k) = 2*k**2 + 8*k - 9. Let x(g) = 2*g**2 + 28*g + 7. What is the remainder when j(-7) is divided by x(-14)?
5
Let j = 141 + -85. Suppose -2*u - 2*u + j = 0. Calculate the remainder when u is divided by 5.
4
Let a(p) = -p**3 + 3*p**2 + 5*p - 4. Let s be a(3). Let o = -3 + s. Calculate the remainder when 31 is divided by o.
7
Let t = 18 - 15. Calculate the remainder when t is divided by 1.
0
Suppose -460 = -4*t + 572. Let v be 0 + 2 - t/(-1). Suppose -3*j - v = -8*j. What is the remainder when j is divided by 18?
16
Let q = -30 + 32. Calculate the remainder when 6 is divided by q.
0
Let p = 2 - -3. Calculate the remainder when 34 is divided by p.
4
Let i(f) = -f**2 + f - 21. Let u be i(0). Let v = -9 - u. What is the remainder when v is divided by 8?
4
Suppose 0 = 2*g + 4*t - 34, -3*t + 6 = -6*t. What is the remainder when 123 is divided by g?
18
Let p be (-20)/8*(-16)/10. What is the remainder when 9 is divided by (p + 0)*(1 - 0)?
1
Let g(c) be the second derivative of -c**5/20 + c**4/2 - c**3/2 - 3*c**2 - c. Suppose 7 = 9*z - 92. Calculate the remainder when z is divided by g(5).
3
Let l(j) = -j**3 - 3*j**2 - 3*j. Let a be l(-4). Suppose 4*b + 24 = z + 240, -4*b + 192 = 5*z. Let c = b - a. What is the remainder when c is divided by 13?
12
Let l be (2/(-6) - 0)*-6. Suppose 0 = 3*g + 5*k - 60, 0*g - l*g + 45 = 5*k. Calculate the remainder when g is divided by 8.
7
Suppose 4*t + 2*o - 11 = o, 4*t + 4*o - 20 = 0. Suppose -5*v = -5*f + 5, -t*v = -0*f - 4*f + 8. What is the remainder when f is divided by 3?
0
Let k(q) = q**3 - 7*q**2 + 9*q - 7. Let i(v) = 4*v + 3. Let m be 3/5 + 128/20. Calculate the remainder when i(m) is divided by k(6).
9
Suppose -p - 32 = -3*m, 44 = 2*m + 3*p + 2*p. Suppose -3*y - 4*d + 88 = -9*d, 2*d = 4*y - 94. What is the remainder when y is divided by m?
9
Let u(g) = -g**2 - 10*g - 18. Calculate the remainder when 6 is divided by u(-6).
0
Suppose -4*x + 20 = 0, 0 = -3*t - x - x + 184. Let p = 10 + 8. Suppose l - t = -p. What is the remainder when l is divided by 14?
12
Let a be ((-4)/10)/((-2)/10). Let i = 18 - 9. What is the remainder when i is divided by (1/a)/(2/20)?
4
Suppose -3*r + 27 = 2*k, -r - 75 = 2*k - 6*k. Calculate the remainder when 68 is divided by k.
14
Let k(w) = -w**3 + 3*w**2 + w - 1. Let y be k(-4). Suppose -5*c + 8 = -2*s + y, 0 = -4*s - 3*c + 237. What is the remainder when s is divided by 15?
12
Suppose -55 = -27*f + 26*f. Calculate the remainder when f is divided by 17.
4
Suppose 2*x + 3*d - 26 - 37 = 0, 3*x + 4*d - 97 = 0. Let z = -1 - -8. What is the remainder when x is divided by ((-40)/14)/((-2)/z)?
9
Suppose -18*m + 21*m - 141 = 0. Calculate the remainder when m is divided by 25.
22
Let p = -55 + 90. Let g(f) = -5*f**2 + 6*f - 1. Let u(j) = 6*j**2 - 7*j + 2. Let m(w) = -4*g(w) - 3*u(w). What is the remainder when p is divided by m(4)?
17
Let z = 39 + 32. Suppose 0 = 3*t - 5*t + 48. Calculate the remainder when z is divided by t.
23
What is the remainder when 80 is divided by (-37)/(-1) - -1*4?
39
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