7) + -1 - 16/56 is divided by 71.
63
Suppose 348 = -4*n + 5*y, 4*n + 5*y = -0*n - 308. Let m = 11 - n. Calculate the remainder when m is divided by 32.
29
Suppose -h = 98 - 25. Let y = 61 - 42. What is the remainder when h*(-3 - (0 - 2)) is divided by y?
16
What is the remainder when (-1)/24*-3 + (-2355)/(-40) is divided by 27?
5
Let t(n) = 6*n - 27. Let u be t(4). Calculate the remainder when u/2 + (-873)/(-18) is divided by 12.
11
Let c = 27 - -87. Suppose 25*w + 352 = 1077. What is the remainder when c is divided by w?
27
Let f(o) = -o**3 + 14*o**2 - 6*o. Let c be f(13). Let w = c + -69. Calculate the remainder when 50 is divided by w.
6
Suppose 6 = h - 3*o + 3, -2*o - 24 = 3*h. Calculate the remainder when 62 is divided by (18/(-15))/(h/80).
14
Let p(k) be the second derivative of -29*k**3/6 - 2*k**2 + 13*k. Calculate the remainder when p(-2) is divided by 11.
10
Let l = 250 - 151. What is the remainder when l is divided by 50?
49
Suppose -4*l + 0*l = 3*r - 24, 5*r = -5*l + 40. Calculate the remainder when 70 is divided by r.
6
Let k be (8/(-6))/((-7)/21). Suppose -k*s - 133 = 295. Let n = -61 - s. What is the remainder when n is divided by 12?
10
Suppose 5*y + 423 = 3*j, 0 = j + 18*y - 19*y - 143. Calculate the remainder when j is divided by 26.
16
Let i = -7500 + 7514. Let h(y) = 3*y**2 - 3*y + 6. What is the remainder when h(6) is divided by i?
12
Let c(z) = 6*z**2 - 12*z + 17. Calculate the remainder when 173 is divided by c(4).
43
Let o be 2/(-1 + (-75)/(-65)). Let t(j) = -j**2 + 20*j - 17. Calculate the remainder when t(o) is divided by 25.
24
Let w(i) = i**3 + 12*i**2 - 12*i + 14. Let c be w(-13). Let t(z) = 7*z - 2. Let u be t(c). What is the remainder when (2/5)/(u/600) is divided by 10?
8
Suppose 0 = -4*j - 2*b + 94, 7 = -3*b - 8. What is the remainder when 74 is divided by j?
22
Let j(a) = -a**3 + 10*a**2 + 16*a - 1. Let x be j(11). Suppose -4*k + 5*q + 14 = -x, -k = 5*q + 8. What is the remainder when 22 is divided by k?
10
Suppose -57*n + 64*n - 903 = 0. What is the remainder when n is divided by 11?
8
Let q(g) = 3*g + 113. Calculate the remainder when q(12) is divided by 49.
2
Let i be (-4)/14 - (-867)/21. Suppose -w - 2*y - 14 - 24 = 0, -y - i = w. Calculate the remainder when (-33)/22*(w - 0) is divided by 17.
15
Suppose 0*n = -5*n + 2*s + 5879, -s - 4705 = -4*n. Suppose -n = -8*h - 3*h. Calculate the remainder when h is divided by 37.
33
Let i be ((-7)/(-14))/(1/(-8)). Let z = i + 10. Calculate the remainder when 9 is divided by z.
3
Suppose 0 = 3*i - 5 - 142. Calculate the remainder when 230 is divided by i.
34
Let x(t) = -4*t - 2. Calculate the remainder when 79 is divided by x(-3).
9
Let j(l) = -67*l - 147. Calculate the remainder when 317 is divided by j(-3).
47
Suppose 5*l + 2*z = 506, 0*l - 2*z - 412 = -4*l. What is the remainder when l is divided by 11?
3
Suppose 14*f = 10*f + 104. Suppose f = n - h, 0*n - 3*h = 4*n - 104. Calculate the remainder when 50 is divided by n.
24
Suppose -9*d = 3*d - 2760. Suppose 8*x - d = -62. Calculate the remainder when x is divided by 12.
9
Suppose 2*y = 5*i + 8, 2*y + 0*i = i. Let j be ((-34)/y)/((-8)/(-16)). Suppose 4*r - j = 2*r. Calculate the remainder when r is divided by 12.
10
Let t be 16/5*(28/8 + -1). Calculate the remainder when 76 is divided by (-2)/t + 1701/84.
16
What is the remainder when (-51597)/(-315) - 8/10 is divided by 24?
19
Suppose -1018 + 338 = -34*s. What is the remainder when s is divided by 6?
2
Suppose 3*t - 19 + 3 = 5*s, 8 = -4*s. Suppose 0 = 3*w + 4*b - 48, 0 = t*b - 7*b. What is the remainder when 45 is divided by w?
13
Let z(b) = 2*b + 6. Let y(x) = x - 1. Let k(u) = 3*y(u) + z(u). Suppose -2*n = 2*w - 31 - 41, -2*n = -w + 39. Calculate the remainder when w is divided by k(2).
11
Let r(q) = q**3 - 4*q**2 + 4*q + 2. Let g be r(4). Suppose -n - 12 = -g. Suppose m - 4 = n. What is the remainder when 19 is divided by m?
9
Calculate the remainder when 136 is divided by (-2)/(2*2/(-95 - 1)).
40
Suppose -2*m - 562 = -132. Let g = -107 - m. Suppose 0 = 2*u - g + 14. Calculate the remainder when u is divided by 12.
11
Suppose 0 = p - 4, 4*w + 4*p - 283 = w. Let i = w + -62. What is the remainder when 105 is divided by i?
24
Let v(p) = -27*p - 141. Calculate the remainder when v(-8) is divided by 11.
9
Let f = 47 + -33. Calculate the remainder when 55 is divided by f.
13
Suppose 26 = -3*w + 101. Suppose -4*v + w = -23. What is the remainder when 35 is divided by v?
11
Let c(v) = -21*v - 48. Calculate the remainder when 169 is divided by c(-5).
55
Suppose 4 = -2*c + 68. Let p = 8 + 3. Calculate the remainder when c is divided by p.
10
Suppose 4*f + 4*y = 676, 7*f - 5*f = 3*y + 313. Calculate the remainder when f is divided by 21.
17
Suppose -4*r = 1 - 5. Suppose s + 2*j = 3*j - r, -s = -2*j + 3. What is the remainder when (-31)/(-1)*(s + 0) is divided by 11?
9
Let t(o) = 2*o**2 - 13*o + 6. Let i be t(6). Let d(s) = 0 - 6 + i*s**2 + 6*s + 2*s**2 + 4. What is the remainder when d(-5) is divided by 7?
4
What is the remainder when (-25)/(-3)*21/5 is divided by 20?
15
Let p(i) = -i**2 + 11*i - 9. Let t(q) = -4*q + 18. What is the remainder when t(-6) is divided by p(8)?
12
Let g = 368 - 322. Calculate the remainder when 641 is divided by g.
43
Suppose 0 = k - 0*k - 28. Let h be (1/2)/(8/(-224)). Let i = h - -29. Calculate the remainder when k is divided by i.
13
Let z(i) = 2*i**2 + 7. What is the remainder when z(4) is divided by 8?
7
Calculate the remainder when (-40)/14*3465/(-90) is divided by 19.
15
Let a(l) = -14*l - 68. What is the remainder when a(-10) is divided by 38?
34
Suppose 34*j - 182 - 22 = 0. What is the remainder when 136 is divided by j?
4
Let j(c) = -3*c**2 - c + 11. Let x be j(-4). Let z = 59 + x. Calculate the remainder when z is divided by 9.
8
Suppose -12 = -4*k + k. Suppose k + 4 = t. Calculate the remainder when 53 is divided by (2 - 12/t)*38.
15
Suppose 2 = f - 0*f. Suppose 4*m = f*m + 44. Let q(n) = 117*n - 226. What is the remainder when m is divided by q(2)?
6
Let v(n) be the first derivative of 15*n**4/4 + 2*n**3/3 + n**2/2 - 2*n - 4. What is the remainder when 42 is divided by v(1)?
10
Suppose y - i + 334 = 5*y, 4*i - 423 = -5*y. Calculate the remainder when y is divided by 26.
5
Let v = 1165 + -1163. Calculate the remainder when 63 is divided by v.
1
Let a(k) = 4*k**2 + 5*k + 3. Suppose -3*s + 10 = 19. Let w(j) = 5*j**2 - 7*j + 3. What is the remainder when w(5) is divided by a(s)?
21
Suppose 37 = 5*q - 118. Suppose g + 10*w = 11*w + 12, 3*g - 4*w - 31 = 0. Calculate the remainder when q is divided by g.
14
Let a(j) = -j**3 - 12*j**2 - 5*j + 96. Calculate the remainder when 129 is divided by a(-11).
9
Let q(h) = 16*h**2 - h + 1. Suppose -5 = 2*j - 3*j + 2*o, -6 = 3*o. Calculate the remainder when 29 is divided by q(j).
13
Let p be -1*((-16)/(-4) - 9). Suppose 0 = p*h - 68 - 57. Suppose -k - 8 = -3*k. What is the remainder when h is divided by k?
1
Let w = -37 - -19. Let m = -21 - w. Calculate the remainder when 3 is divided by (m/(-6))/((-3)/(-18)).
0
Let u(f) = 3*f**2 + 2*f - 9*f - 2*f**2 + 8 + 0*f**2. Let m be u(7). Suppose 0 = -m*v + 4*v + 32. What is the remainder when v is divided by 3?
2
Let m = -113 + 80. Let c = 20 + m. Let j = c + 42. What is the remainder when 113 is divided by j?
26
Let f(i) = 2*i**2 - 6*i + 3. Let t be (6/(-2) + 3)*1. Suppose 5*a - 4*u - 38 = t, -2*a = 7*u - 2*u - 35. What is the remainder when f(6) is divided by a?
9
Suppose 928 = -62*b + 70*b. Calculate the remainder when b is divided by 41.
34
Let c be 109/2 + (-1)/2. Suppose -56 - c = -5*v. Let n(o) = -o**2 + o + 41. What is the remainder when n(0) is divided by v?
19
Suppose 3*y - 16 = -1. Let a = 72 + -68. Suppose -21 = -7*i + 3*i + 3*d, -a*i - 2*d = -46. What is the remainder when i is divided by y?
4
Suppose -25 = -3*m - w + 102, -3*w + 80 = 2*m. Calculate the remainder when 125 is divided by m.
39
Suppose 239 = 16*h - 145. Calculate the remainder when h is divided by (-1 + 3)/2 + 12.
11
Let n(i) = 7*i**2 - i**3 - 3 - 4 + 2*i**2. Let m = 129 - 121. What is the remainder when n(m) is divided by 15?
12
Let q(p) = -2*p**3 + 3*p**2 + 4*p + 5. Let d(k) = -k**2 - 9*k. Let l be d(-4). Calculate the remainder when q(-2) is divided by 2/(-4)*(2 - l).
7
Su