mainder when (-695)/(-10) + i/2 is divided by 6.
4
Let b(f) = f + 4. Let a be b(21). Let u = a + 17. What is the remainder when 166 is divided by u?
40
Suppose -18 = -900*c + 897*c. Calculate the remainder when 9 is divided by c.
3
Let w(d) = 7*d**2 + 3*d + 16. Let z be w(-3). Suppose -n - 40 = -2*x - 0*n, 0 = -5*x - 5*n + z. What is the remainder when 67 is divided by x?
13
Let i(q) = -24*q**2 + 1. Let t be -6 + 6 + 1 + 0. Let y be i(t). Let n = y - -33. Calculate the remainder when 29 is divided by n.
9
Calculate the remainder when 501 is divided by 14256/1800 - 4/(-50).
5
Let l(f) = f**3 + 2*f**2 + 2*f - 120. Let t be l(0). Let c = -106 - t. Calculate the remainder when 33 is divided by c.
5
Let g(z) = -15*z - 1 + 7 + 80*z. Let l = 14 + 9. What is the remainder when g(2) is divided by l?
21
Let l(o) = o**3 - 4*o**2 + 2. Let z be l(4). Suppose z*x + 1 = 33. Let y(r) = -9*r**3 - 4*r**2 - 2*r + 2. Calculate the remainder when y(-2) is divided by x.
14
Let d(k) be the second derivative of -k**3/6 + 27*k**2/2 - 15*k. What is the remainder when d(11) is divided by 6?
4
Suppose 1385 = -8*k + 8193. Calculate the remainder when k is divided by 39.
32
Suppose 3*f - 281 = -0*b - b, f = -b + 97. What is the remainder when f is divided by 46?
0
Let g = 81 + -77. Let o(m) = 3*m**2 - 3*m + 2. Calculate the remainder when o(g) is divided by 20.
18
Suppose -15 = -2*t - 3*x, 0 = 3*t + 2*x - 109 + 84. Suppose -57 = -5*u + 298. What is the remainder when u is divided by t?
8
Suppose 3*j - 4822 + 822 = -4*o, -3*o - 2*j = -2999. What is the remainder when o is divided by 40?
37
Let p = -56 - -55. Let v(m) = -36*m + 2. What is the remainder when 150 is divided by v(p)?
36
Let h be -69*(21/(-9) + 3 + -1). Let r = 38 - h. What is the remainder when 59 is divided by r?
14
Let b = 6 + 85. What is the remainder when b is divided by 20?
11
Suppose 2*p - 4 + 14 = 0. Let v = p + 24. What is the remainder when (3 - -3)*(-56)/(-6) is divided by v?
18
Let h(s) = s**3 + 8*s**2 - 6. Let n be h(-5). Suppose 0 = 66*t - 63*t - n. What is the remainder when t is divided by 13?
10
Let o(u) = -9*u - 55. Calculate the remainder when 118 is divided by o(-8).
16
Let w = -193 - -324. What is the remainder when 519 is divided by w?
126
Let w(a) = -a**2 + a + 5. Let k be w(0). Suppose 5*i + 2*q + 167 = 0, -k*q - 96 + 25 = 2*i. Let r = i - -78. Calculate the remainder when r is divided by 24.
21
Let h be ((-28)/(-35))/((-2)/(-5)). Suppose -h*d = 1 - 17. Calculate the remainder when 15 is divided by d.
7
Let l(c) = 12*c + 429. Calculate the remainder when l(-25) is divided by 24.
9
What is the remainder when 36 is divided by ((-51)/(-12))/(1/4)?
2
Suppose 3*x + 0 = -54. Let n = x - -36. Calculate the remainder when 34 is divided by n.
16
Let w = -18 + -19. Let g = w + 87. Suppose 2*s - 23 = 3. Calculate the remainder when g is divided by s.
11
Let y(u) = 16*u**2 - 8*u + 3. Suppose 4*r - 3*h = -6*h, 0 = -2*r - h - 2. What is the remainder when y(2) is divided by -2 - (51/r + 2)?
12
Let k(p) = 1 - 2 + 44*p**2 - 45*p**2 - 5*p. Let u be k(-4). What is the remainder when 51 is divided by ((-4)/u)/((-20)/270)?
15
What is the remainder when (24/(-60) + (-4648)/(-20))/1 is divided by 26?
24
Let g(a) = -3*a**3 + a**2 - 6*a - 9. Suppose -1 - 15 = 8*s. Calculate the remainder when 59 is divided by g(s).
28
Let b(o) = o**2 + 12*o + 14. Let m be b(-11). What is the remainder when 58/4 - m/2 is divided by 7?
6
Let f = -122 - -143. Suppose 0 = 5*x - s - 54, s = 6*x - 3*x - 32. What is the remainder when f is divided by x?
10
Suppose 400 - 449 = -7*r. What is the remainder when 229 is divided by r?
5
Suppose -2*f = -22 - 18. Let m = f - -3. What is the remainder when m is divided by 6?
5
Let r(u) be the second derivative of u**4/12 - 3*u**3/2 - 9*u**2 - u. Let x = 110 + -97. Calculate the remainder when r(x) is divided by 9.
7
Let i(d) be the second derivative of 0 + d - 1/2*d**4 - 1/20*d**5 + 1/2*d**3 - 9/2*d**2. What is the remainder when i(-7) is divided by 5?
4
Suppose 0 = -c + 16 + 10. Suppose 13*h - c + 0 = 0. Suppose 2*l - 14 = -4*z, 4*l + 0 = 2*z + 8. Calculate the remainder when l is divided by h.
1
Let m be (4 - 3) + 2 + -1. What is the remainder when -2 + (2 - (-60 - -2)) is divided by 30/((m/(-1))/(-1))?
13
Let t(k) = -16*k + 14. Let n be t(6). Let v = 152 + n. What is the remainder when v is divided by 12?
10
Let f be 2/(-3)*(2 - 11) - -2. What is the remainder when 3*f/(-6) - -31 is divided by ((-2)/(-4))/(2/60)?
12
Let b = 704 + -666. Calculate the remainder when b is divided by 17.
4
Let c = 75 + -45. Calculate the remainder when (5/2)/((-1)/(-44)) is divided by c.
20
Suppose 0*o = -6*o + 222. Suppose 109 = 4*t - 3*t. What is the remainder when t is divided by o?
35
Let n(c) = 2*c + 10. Suppose 5*g + 3*l + 9 = -6, 5*g = 3*l - 15. What is the remainder when 27 is divided by n(g)?
3
Suppose -91 + 97 = 3*v. Suppose -3*r + v = -2*r, z - r - 30 = 0. Calculate the remainder when z is divided by 13.
6
Let s be 22488/216 + 2/(-18). Let n = -67 + s. Calculate the remainder when 109 is divided by n.
35
Let v = -90 + 109. Let r(q) = 9*q + 3. What is the remainder when r(8) is divided by v?
18
Suppose -n + 4*q = -70, 3*q = 3*n - n - 135. Let j = 196 - n. Calculate the remainder when j is divided by 33.
31
Suppose 1 + 2 = o. Suppose 6 - o = x. Let v = x + 20. What is the remainder when 91 is divided by v?
22
What is the remainder when 157 is divided by 5/((-75)/(-12)) + (-1776)/(-80)?
19
Suppose -2*z = -3*u - 15, 19*z - 23*z + 4*u = -28. What is the remainder when 1059 is divided by z?
3
Let t = 64 + -53. Suppose 6*q = t*q + 2*j - 504, 0 = -5*j + 10. Calculate the remainder when q is divided by 35.
30
Suppose 9 = 3*x - 0*x. Suppose 0 = g + 4 - x. Let q = g - -2. What is the remainder when q is divided by 1?
0
Let h be (-69)/(-184) - (-26)/16. Suppose -h*d + d = -5*t - 5, 0 = -t. Calculate the remainder when d is divided by -6*(1 + 3/(-2)).
2
Let r = -82 + 90. Suppose 11 = z + 4*y, 4*z + 4*y = -z + 23. What is the remainder when r is divided by z?
2
Suppose 9*h + 2 - 56 = 0. Suppose -91 = -h*s + 5. Calculate the remainder when (-21)/(-49) + 431/7 is divided by s.
14
Let o be (8/6)/((-4)/(-6))*2. Suppose -o*n - n = -165. What is the remainder when n is divided by (-4)/(-14) - 124/(-7)?
15
Let z(d) = 5*d**3 - 2. Let q be z(1). Suppose q*y + 5*o = 38, 48 = 4*y + 5*o - o. Let w = -62 - -115. What is the remainder when w is divided by y?
9
Let j(x) be the third derivative of x**5/30 - x**4/2 + x**3 + 6*x**2. Calculate the remainder when j(7) is divided by 12.
8
Let r be ((-834)/8)/((-54)/72). Suppose -2*z + 29 = -2*q + r, -4*q = -3*z - 223. Calculate the remainder when q is divided by 16.
10
Let w = 16 + -22. Let m(r) be the second derivative of -r**4/12 - 5*r**3/3 - 15*r**2/2 + 6*r. Calculate the remainder when m(w) is divided by 4.
1
Suppose -3*c + 40 = 2*c. Suppose 5*s = 2*o + 1 + 1, -4*s = -4*o + c. Let k(x) = x**2 - x - 1. What is the remainder when 30 is divided by k(o)?
8
Suppose -2*u = -3*v + 652, 4*v - 231 = u + 630. Calculate the remainder when v is divided by 8.
6
Let p(y) = 5*y**3 + 8*y**2 + 2*y - 5. Calculate the remainder when p(3) is divided by 14.
12
Let d(w) = -w**3 + 23*w**2 - 21*w + 17. Calculate the remainder when 320 is divided by d(22).
8
Let r = 187 + -59. Let y = r + -106. Let g = 2 - -7. Calculate the remainder when y is divided by g.
4
Suppose 2*y = -5*h + 106, -h - 1 = -3*y - 29. Suppose 9*g - 6*r = -9*r + 1359, -465 = -3*g - 3*r. Calculate the remainder when g is divided by h.
17
Let r(p) = 2*p**2 - 62*p - 38. Suppose 3*g = 4*m - 85, 0 = -4*m + g + g + 82. Calculate the remainder when r(33) is divided by m.
18
Let x(i) = 3*i**2 - 29*i + 82. Calculate the remainder when 106 is divided by x(3).
18
Suppose m + 0*m = 3*t - 85, 3*t = 4*m + 88. Suppose -34*q + 65*q - 64 = 27*q. Calculate the remainder when t is divided by q.
12
Suppose 0 = 3*k + 3 - 12. Let t be (-1)/2*(-11 + k). Suppose -6*j + 2*j - t*b = -32, 5*j = 2*b + 19. What is the remainder when 18 is divided by j?
3
Suppose 3*p + 0*p + 4*n - 88 = 0, -5*p + 104 = -4*n. Suppose -i - 6 = -2*v - 5*i, 5*v - p = -i. Calculate the remainder when 28 is divided by v.
3
Let u(n) = 2*n**3 + 12*n**2 + 3*n - 4. What is the remainder wh