n + p. Calculate the remainder when n is divided by 6.
5
Suppose 0*q - 3*q = -60. Suppose q = 2*a - 28. Suppose -2*f = -a - 0. What is the remainder when 46 is divided by f?
10
Suppose 22 = -p + 20. Let x be (16 - 44)*(-2)/p. Calculate the remainder when 42 is divided by 122/8 - (-7)/x.
12
Suppose -6 + 9 = -3*i. Calculate the remainder when ((-1239)/(-42))/((2/(-4))/i) is divided by 15.
14
Let k = -33 - -3. Calculate the remainder when 1/(3/354*2) is divided by (-4)/(-6) + (-580)/k.
19
Let h = 32 + -41. Let y be (-4 - h)/((-2)/(-4)). Suppose -19 = -y*z + 9*z. What is the remainder when 55 is divided by z?
17
Calculate the remainder when 336 is divided by (-1683)/(-39) + (-150)/975.
35
Suppose 10*z - 5*z = 60. What is the remainder when 32 is divided by z?
8
Suppose -45*g + 75*g = 480. What is the remainder when 30 is divided by g?
14
Let y(l) = l**3 - 7*l**2 + 4*l + 1. Let o be y(3). Let d = 40 + o. Calculate the remainder when 64 is divided by d.
13
Suppose -7*k = -3*k - 4*w - 364, 2*w = -6. What is the remainder when k is divided by 46?
42
Let o = -133 + 245. Calculate the remainder when o is divided by 13.
8
Calculate the remainder when (2/6)/(13/1950) is divided by 17.
16
Suppose 0 = -0*s + 5*s. Let k be (s - (-1)/2)*0. Calculate the remainder when 54 - (k + 1 + -3) is divided by 19.
18
Suppose -21*k + 293 + 85 = 0. What is the remainder when 29 is divided by k?
11
Let g be ((-1 - -2)*1)/(30/3270). Suppose 4*q = -k + 64, 3*k + 3*q - g = 47. Calculate the remainder when k is divided by 7.
6
Let w = -450 - -455. Let q(a) = -30*a - 3. Calculate the remainder when q(-2) is divided by w.
2
Let s = -47 + 18. Let q = s + 38. Calculate the remainder when 14 is divided by q.
5
Let k(r) = 85*r - 678. What is the remainder when 202 is divided by k(9)?
28
Suppose -2*d - 4*g + 1344 = 0, 5*d = 2*g + 524 + 2884. Calculate the remainder when d is divided by 18.
14
Calculate the remainder when 37 is divided by (-84)/16*(-4)/3.
2
Suppose 2*w = -0*n - 4*n + 16, 3*w + 8 = 2*n. Suppose w = -5*j + 139 - 14. Calculate the remainder when j is divided by 14.
11
Suppose -r = -0*r - 43. Suppose 12 = -42*i + r*i. What is the remainder when 35 is divided by i?
11
What is the remainder when 279/62*(-344)/(-18) is divided by 34?
18
What is the remainder when 335 is divided by ((-6)/4)/(6/(-4)) + 47?
47
Let g = 21 - 18. Suppose g*a - 72 = -5*a. What is the remainder when 33 is divided by a?
6
Let h(z) = z**2 - 2*z - 33. What is the remainder when 149 is divided by h(-7)?
29
Suppose 5*q + 8*q = 312. Calculate the remainder when 65 is divided by q.
17
Let d = -50 - -77. Let b = -17 + d. What is the remainder when 47 is divided by b?
7
Let i(a) be the first derivative of a**4/4 + 8*a**3/3 + 2*a**2 - 12*a + 8. What is the remainder when i(-7) is divided by 3?
0
Suppose -6*m + 384 = -204. What is the remainder when m is divided by 30?
8
Let v = -347 + 396. Calculate the remainder when v is divided by 47.
2
Let d(n) be the first derivative of n**2 - 8*n - 20. Calculate the remainder when 22 is divided by d(7).
4
Let y = 529 + -416. Calculate the remainder when y is divided by 15.
8
Suppose 0*p + p = 3*x - 15, 0 = -2*x + p + 11. Suppose 2*n - 57 - 23 = -4*v, 2*n = -x. What is the remainder when 30 is divided by v?
9
Suppose 3*k - a - 1 = 2*k, -a = -5*k + 9. Suppose k*s + 4 = 8. Suppose -4*f - 14 = -u - s*u, 10 = u + 4*f. Calculate the remainder when u is divided by 2.
0
Let p = 697 + -468. Calculate the remainder when p is divided by 63.
40
Let m(n) = -14*n - 10. Let j be m(-3). Suppose -4*y = -84 - j. Let c = -93 - -148. Calculate the remainder when c is divided by y.
26
Let n(k) = -41*k - 601. Calculate the remainder when n(-17) is divided by 65.
31
Suppose -4*h - m = -43, -4*h - 4*m + 2 = -26. Let k = 75 - 66. What is the remainder when ((-99)/h)/((-2)/8) is divided by k?
6
Suppose -3*a + 6*a - 144 = 0. Calculate the remainder when a is divided by -4 + (385/28 - 1/(-4)).
8
Let j = -35 - -35. Let b(x) = -x**2 + 14. Calculate the remainder when 41 is divided by b(j).
13
Let v(n) = n**2 + 11*n + 5. Suppose -2*h = -4*b - 7*h, 0 = -2*h. Let i = 4 - 2. Calculate the remainder when v(b) is divided by i.
1
Let q be -8 - -6 - (-81 + 0). Suppose -4*u + q + 13 = 0. What is the remainder when u is divided by 8?
7
Let c = -912 - -971. What is the remainder when c is divided by 41?
18
Let q(m) = -9*m - 48. Let p be q(-6). Let t(r) = 2*r**2 - 9*r - 6. Calculate the remainder when (-298)/(-14) - (-4)/(-14) is divided by t(p).
9
Let g(p) = -p**2 + 6*p + 3. Let f be g(6). Suppose 3*w + 2*w - f*b = 4, -3*b = 2*w - 10. What is the remainder when 1 is divided by (3 - -1) + (-6)/w?
0
Let s(v) = -4*v - 6. Suppose 0 = 13*a + 9*a - 910 - 542. Calculate the remainder when a is divided by s(-5).
10
Let y be 2*4/24*3. Let v(l) = 18*l**3 - 2*l**2 - l + 2. Let f(o) = -10*o + 2. What is the remainder when f(-3) is divided by v(y)?
15
Suppose 0*l - 25 = -l. Let z be 341/121 + 4/22. Suppose 8*v - z*v + 5*y = 250, 3*y = 3. Calculate the remainder when v is divided by l.
24
Suppose -4*y = -4*f + 88, -5*f = -2*y + 13 - 111. Let i(d) = 5*d - 73. Calculate the remainder when 61 is divided by i(f).
10
Let t = -589 - -649. What is the remainder when 236 is divided by t?
56
Let n = -5 + 8. Suppose -n*p + 48 = -0*p. Let g = -2248 + 2276. Calculate the remainder when g is divided by p.
12
What is the remainder when ((-154)/(-14) - 28)*-1*5 is divided by 27?
4
Let j(p) = -p**2 + 9*p - 20. Let z be j(5). Suppose 3*t + z*a = 2*a + 87, 2*a - 145 = -5*t. What is the remainder when t is divided by 8?
5
Suppose -5*v = -8*f + 6*f - 65, 2*v - 26 = -2*f. Calculate the remainder when 38 is divided by v.
12
Let h(o) = -7*o**3 + 5*o + 5. Let q be h(-2). Let c = -24 + q. Calculate the remainder when 80 is divided by c.
26
Calculate the remainder when 36 is divided by (-2)/(-3) + (-74)/(-6).
10
Let b(p) be the second derivative of 16/3*p**3 - p**2 + 0 - 3*p. Calculate the remainder when b(1) is divided by 11.
8
Let f(d) = 4*d - 2. Let h be f(4). Suppose 0 = p - h + 3. What is the remainder when 20/(-15) - (-128)/6 is divided by p?
9
Suppose -5*v - 3 + 43 = 0. Let x(r) = 38*r**2 - r - 1. Calculate the remainder when x(-1) is divided by v.
6
Let w(p) = -p**3 - 9*p**2 - 10*p - 17. Let f be w(-7). Let x = f - -26. Let d = -15 - x. Calculate the remainder when 4 is divided by d.
0
Let s(g) = 3*g**2 - 10*g + 35. Calculate the remainder when 83 is divided by s(4).
40
Suppose -7*p + 2684 = 206. Calculate the remainder when p is divided by 71.
70
What is the remainder when 44 + -39 + 58 + 0 is divided by 8?
7
Let t = -4 + 28. What is the remainder when t is divided by ((-52)/16)/(1 - 10/8)?
11
Suppose 4*m - 126 + 30 = 0. Suppose -3*p = -3*t - m + 6, 50 = 5*p - t. What is the remainder when 53 is divided by p?
9
Let c = -2 + 4. Suppose -170 = -20*u - 14*u. Calculate the remainder when u is divided by c.
1
Let n = -6 - -21. Let g be 45/5 - (-4)/(-1). Suppose -j = 4*x - g, -3*j + 14 = 2*x - 11. Calculate the remainder when n is divided by j.
6
Let d = 130 + -107. Let s = d - 9. Let i(g) = -g - 3. Calculate the remainder when s is divided by i(-7).
2
Let x(a) = 2*a**2 + 3*a - 2*a**2 + 24 - a**2. Calculate the remainder when 118 is divided by x(0).
22
Suppose -7 - 3 = -5*f. What is the remainder when 42 is divided by (-42)/(-4) + ((-15)/(-6) - f)?
9
Let y(z) = z**2 - 12*z - 14. Let s be y(13). Let g(i) = -12 + 12 - 9*i. What is the remainder when 24 is divided by g(s)?
6
Let k = 14 - 10. Suppose -k*u + 200 = u. Suppose 4*r + 35 = 5*w, -4*w + 19 = 3*r - u. Calculate the remainder when 42 is divided by w.
9
Suppose -2*h + h = 2, -2*g - h + 356 = 0. Let x = g - 89. Calculate the remainder when x is divided by 46.
44
Let j(t) = t**3 - 5*t**2 + 2*t + 7. Suppose 3*r = 10 + 23. Calculate the remainder when j(5) is divided by r.
6
Suppose 0 = y - 3*g - 70, 3*y - 3*g - 111 = 75. What is the remainder when 247 is divided by y?
15
Let z = 14 + -29. Suppose 2*l - 5*l = 3. Calculate the remainder when 7 is divided by l/(18/z + 1).
2
Let a(p) = -p**3 - 17*p**2 + 3*p + 9. Let i be a(-17). Let w(v) = 4*v**2 - v + 1. What is the remainder when w(1) is divided by i/(-12) - 6/4?
0
Let r = -1 + 9. Let u(y) = -2*y**3 - 2*y**2 + 10*y + 9. Calculate the remainder