)/12 + (-34)/12. Let d = 22 + o. What is the remainder when d is divided by 10?
9
Let t(b) = -20*b**2 + 45*b - 3. Let f be 2/6 - (-13)/(-3). Calculate the remainder when t(2) is divided by (-27)/f - 6/8.
1
Let m be -1 - 2*1/(-2). Suppose 0*x - x - 2*w + 36 = m, 5*x + 5*w = 165. Suppose -18*a = -21*a + 177. Calculate the remainder when a is divided by x.
29
Let n(l) = l**3 + 10*l**2 - 12*l - 21. Let f be n(-11). What is the remainder when ((-5)/f)/(4/240) is divided by 16?
14
Let v = -293 - -156. Let f = 272 + v. Suppose p + 4*p = f. What is the remainder when p is divided by 14?
13
Let u(w) = 7*w**2 - 1. Let h be u(1). Let q = -20 + 27. What is the remainder when (-2 + h)/(2/9) is divided by q?
4
Let d(a) be the second derivative of a**5/20 + a**4/3 - a**3/6 + 5*a**2/2 + 5*a. What is the remainder when 34 is divided by d(-4)?
7
Suppose 0 = 3*n + 3*s - 363, -101 = -16*n + 15*n + 3*s. Calculate the remainder when n is divided by 56.
4
Let x(f) = -f**2 - f + 1. Let b = 1 + -1. What is the remainder when x(b) is divided by 1?
0
Let v = 33 - -56. Suppose 0 = 4*p + 3*h - v, -4*p + 2*h = -84 + 10. What is the remainder when p is divided by 11?
9
Suppose 2*n + 53 = 4*d + 3*n, 48 = 3*d - 2*n. Suppose -127 + 32 = -g. What is the remainder when g is divided by d?
11
Suppose 2*u + 3*p - 92 = 0, -176 = -3*u + 6*p - p. Let n = u - 35. Calculate the remainder when 83 is divided by n.
15
Let o = -307 - -398. Suppose 3*n + 248 = -n. Let w = n + o. What is the remainder when w is divided by 15?
14
Suppose -3*a + 339 = 33. What is the remainder when a is divided by ((-76)/114)/((-2)/78)?
24
Let y = 220 + -186. Let m be (-3)/(1 - 29/26). Suppose -y = -o - 5*l - 5, 4*l = -o + m. What is the remainder when o is divided by 5?
4
Let j be (-11853)/(-72) + 3/8. Suppose 3*f + 0*f = j. What is the remainder when f is divided by 21?
13
Calculate the remainder when 117/(-6)*(-2 + (0 - 0)) is divided by 37.
2
Let i(l) = l**2 - 11*l + 10. Let r be i(10). Suppose r*f = -2*f + 10. Suppose -f*o + 5 = -55. Calculate the remainder when 35 is divided by o.
11
Suppose 122 = 8*x - 6*x. Suppose 0 = 3*j - 12, -3*i = -8*i + j + 46. Suppose -5*t + i*t = 105. Calculate the remainder when x is divided by t.
19
Let n(t) = -t + 10. Let b be n(8). Let k(s) = 2*s**3 - 3*s**2 + 4*s - 2. Let p be k(b). What is the remainder when 450/8 + p/(-40) is divided by 15?
11
Let f = -4 + 14. What is the remainder when 54972/1404 + (-6)/39 is divided by f?
9
Suppose k + 18*q = 21*q + 472, 5*q - 889 = -2*k. Calculate the remainder when k is divided by 21.
16
Suppose -14*d + 2932 - 594 = 0. Calculate the remainder when d is divided by 65.
37
Let j(l) = l**3 + 16*l**2 - l - 13. Let m be j(-16). Suppose 0 = -4*g + 20, 2*g - 63 = -m*s - g. What is the remainder when s is divided by 10?
6
Let c(a) = 3*a**2 + a - 1. Suppose 2*n = -3*l - 1050, 2*l + n + 151 + 548 = 0. Calculate the remainder when l/(-9) - (-8)/(-12) is divided by c(2).
12
Let y(b) = b**3 - 14*b**2 - 21*b + 34. Calculate the remainder when y(16) is divided by 75.
60
Suppose 0 = 2*w - 4*t + 2, 3*w + 9*t - 4*t = 41. Calculate the remainder when 32 is divided by w.
4
Let x be 82*(-4)/16*-2. Let j = 52 - x. Calculate the remainder when 41 is divided by j.
8
Calculate the remainder when 42 is divided by -1*(4 - (1 - -14)) - 0.
9
Let y(s) = s**3 + 7*s**2 - 3*s - 3. What is the remainder when y(-7) is divided by -1 - (8 + -24 + 3)?
6
Suppose 2*b = -4*m + 53 + 21, 69 = 4*m + 3*b. Calculate the remainder when 46 is divided by m.
4
Let q(i) = 14*i**3 + 7*i**2 - 6*i - 5. Calculate the remainder when q(2) is divided by 31.
30
Suppose -26 = 2*y - 0*y. Let b = 27 + y. What is the remainder when ((-24)/10)/((-18)/405) is divided by b?
12
Suppose -47 = -5*w + 3*c, -5 + 3 = -2*w - 3*c. Let r = 1 + w. Calculate the remainder when 29 is divided by r.
5
Let i(z) = z**2 - 22*z - 21. Let p = 12 + -6. Calculate the remainder when i(24) is divided by p.
3
Suppose -47*o + 68*o + 954 = 2592. Let k = -2 + 42. Calculate the remainder when o is divided by k.
38
Suppose 0 = 3*p - 32 - 10. Let q = p + -8. Calculate the remainder when 8 is divided by q.
2
Let f be (2/(-2))/((-1)/46). Suppose -2*n = 4*s - f, 3*s + 4*n = -1 + 38. Let o(t) = t**3 - 6*t**2 + 4*t + 6. Calculate the remainder when o(6) is divided by s.
8
Let g = 41 + -38. Suppose -g*d = 5*a - 33, 2*a - 4*d - 7 = d. Calculate the remainder when 17 is divided by a.
5
Let d(g) = 29*g**2 - 7*g - 3. What is the remainder when d(-2) is divided by 66?
61
Suppose 108 - 29 = x. Calculate the remainder when x is divided by -102*4/(-10) + 3/30*2.
38
Let a = 1052 - 1011. Let x(l) = 10*l**2 + 1. Let j be (-4)/(-6) + 1/3. What is the remainder when a is divided by x(j)?
8
Suppose 5 = 5*z, -2*f + 4*z = 3*f - 136. Let r = -96 - -168. Suppose 4*l - r = -12. Calculate the remainder when f is divided by l.
13
Let x(s) = s**2 - 30*s + 264. What is the remainder when x(36) is divided by 54?
48
Suppose -3*x - 548 = -2342. What is the remainder when x is divided by 30?
28
Let o = -13 + 14. What is the remainder when 114 is divided by o/((-6)/(-69))*2?
22
Let q(x) = 4*x**2 - 4*x + 5. Suppose -4*k = -18*r + 17*r + 60, 4*r - 5*k = 196. Calculate the remainder when q(7) is divided by r.
41
Let b(v) be the third derivative of -v**4/12 + 2*v**3 - 10*v**2. Let c be b(-6). Let f = c - -1. What is the remainder when f is divided by 14?
11
Suppose 0 = 10*k - 6*k. Let m(c) = -c**2 - c + 48. Let z be m(k). Suppose 126 = 6*r + z. Calculate the remainder when 51 is divided by r.
12
Suppose 11*z - 671 = 858. What is the remainder when z is divided by 73?
66
Suppose 0*i = 2*i + 4, c = i - 31. Let o = -23 - c. What is the remainder when 19 is divided by o?
9
Suppose 7*z + q = 2*z + 1831, -1456 = -4*z - 3*q. Calculate the remainder when z is divided by 5.
2
Suppose 11*k - 3*k - 24 = 0. Calculate the remainder when (-175)/(-63) - k - 526/(-18) is divided by (16/10)/(2/20).
13
Let k = 6 + -2. Suppose x - k*x = 2*r - 37, -5*r = -4*x - 127. Calculate the remainder when r is divided by 8.
7
Suppose -9*z = 3*x - 8*z - 700, -708 = -3*x - 3*z. What is the remainder when x is divided by 18?
16
Let d = 41 - 38. Suppose 5*v + d*c - 32 - 87 = 0, -4*v + 90 = 5*c. Calculate the remainder when 47 is divided by v.
22
Let r = 70 + -29. What is the remainder when 76 is divided by r?
35
Suppose 0 = -48*f + 6*f + 2898. Let i be 8/(-5)*145/(-2). Suppose -4 = -5*p + i. Calculate the remainder when f is divided by p.
21
Suppose 454 = 2*g + 2*q, 3*q - 1136 = -5*g - q. Calculate the remainder when g is divided by 46.
44
Suppose -638 = -50*y + 2662. Calculate the remainder when y is divided by 50.
16
Suppose -4*s = -l - 59, 3*s - 3 = 3*l + 48. Let h = -14 + s. Suppose -b + 9 = -r - 13, h = -b - r + 18. What is the remainder when 38 is divided by b?
18
Suppose -42*t - 3635 + 45845 = 0. Calculate the remainder when t is divided by 48.
45
Let d(z) = 3*z**3 - 3*z**2 + z - 1. Let c be d(2). Let v(u) = -u**3 + 15*u**2 - 26*u + 7. What is the remainder when 33 is divided by v(c)?
5
Suppose -3*d + 2*o + 52 = 0, -5*d + 6*o - o = -85. Calculate the remainder when 211 is divided by d.
13
Suppose 5*c = -3*a + 140, 5*a = 2*c - 91 + 4. Calculate the remainder when 493 is divided by c.
28
Let i(b) = 2*b**3 + b**2 - 4*b - 6. Let f be i(3). Suppose 46*x - f*x = 5. Calculate the remainder when 22 is divided by x.
2
Let l = 20 + -17. Suppose 33 = u - l*d, -3*u - 2*u + 2*d = -204. Suppose 4*m + 5*q = 84, -2*m - 3*q + u = -6*q. What is the remainder when m is divided by 8?
5
Suppose 21*h - 708 = -288. What is the remainder when 85 is divided by h?
5
Suppose 4*a - 114 = -p - 85, 70 = 2*p - 4*a. What is the remainder when 60 is divided by p?
27
Let t(m) = -7*m - 11. Let q be t(-6). Suppose 3*x - 53 = 5*b, -2*x + q = b - 26. What is the remainder when x is divided by 6?
2
Let g = 184 + -166. Suppose 7*a - 39 = -g. Calculate the remainder when (-102)/(-14) - (-2)/(-7) is divided by a.
1
Let z be 9/12*(-1 + 2 + -5). Let k(v) = v**3 + 7*v**2 - v - 4. What is the remainder when k(-6) is divided by 9 + 1/((-3)/z)?
8
Let z(i) = i + 35. Calculate the remainder when 149 is divided by z(-16).
16
Let g be (0 + 18)*(-2 - (-21)/9). Suppose 2*w - 75 = -3*h, 0 = -4*h - 10*w + g*w + 100. What is the remainder when 46