6. Calculate the remainder when 78 is divided by b(30).
12
Let g(d) = 3*d - 38. Suppose 313 + 87 = 5*x. Calculate the remainder when x is divided by g(20).
14
Let o be 5*1*15/(-25). Suppose -v + 19 = 2*n, 19 = 2*v - 4*n + 5. Calculate the remainder when o/(-9) - 143/(-3) is divided by v.
9
Suppose 297*y = 86*y + 49163. What is the remainder when 1147 is divided by y?
215
Let u(y) = -10*y**2 + 54*y - 3. Calculate the remainder when 1033 is divided by u(5).
13
Let v = 3696 - 2869. Calculate the remainder when v is divided by 31.
21
What is the remainder when 55 is divided by (-5)/(-30) + (6710/(-12))/(-11)?
4
What is the remainder when (-22)/((-264)/9468) + 0 is divided by 160?
149
What is the remainder when 271 is divided by 1599/11 - (-16)/33*(-90)/120?
126
Calculate the remainder when 648/40*(4 + (-163)/(-3)) is divided by 14.
7
Let h = 20087 + -19979. What is the remainder when 13173 is divided by h?
105
Suppose 24*y - 19*y = 5*v - 60, 19*y = -2*v - 165. Calculate the remainder when -1 + (-33)/((-9)/3) is divided by v.
1
Let b = -5098 + 5145. What is the remainder when 182 is divided by b?
41
Suppose -4*i = 3*o - 3*i - 23, -3*i = -4*o + 22. Let n(k) = -11*k - 134. Let b be n(-12). What is the remainder when b/3 - 8*44/(-24) is divided by o?
0
Let g(h) = h**3 + 19*h**2 - 39*h + 93. Suppose -4*a + 4*l = -228, 43 = 4*a + l - 185. Calculate the remainder when a is divided by g(-21).
27
Let k(x) be the first derivative of -5*x**3/6 + x**2 + 30*x - 4. Let h(y) be the first derivative of k(y). What is the remainder when h(-16) is divided by 17?
14
Let v = 9 - -8. Suppose 3*f = -0*a + 4*a - 1076, -3*a + 808 = -2*f. Suppose -7*g + a = 41. Calculate the remainder when g is divided by v.
16
Let b = -26018 + 26037. What is the remainder when 843 is divided by b?
7
Suppose -632 = 301*q - 309*q. Suppose 142 + 443 = 13*v. What is the remainder when q is divided by v?
34
Let c(p) = -p**2 - 3*p + 10. Let l be -1 + (-2)/(-4)*-6. Let q be c(l). What is the remainder when (-6)/(-36) + 365/q is divided by 16?
13
Let z = -1304 + 1333. Let a be 2/(-2) + 4/4. Suppose 2*m + 5*o - 253 = a, 2*m + 4*o = 5*m - 322. Calculate the remainder when m is divided by z.
27
Let z(n) = 1296*n + 6947. Calculate the remainder when z(-5) is divided by 126.
89
Suppose -8473 = -2*t + 5*d, -4286 = -t + 40*d - 43*d. Calculate the remainder when t is divided by 387.
2
Suppose -10*k + 9*k - 5*j = -610, 5*k = 6*j + 3267. Calculate the remainder when k is divided by 642.
3
Let u(o) = -1607*o + 3247. What is the remainder when 34318 is divided by u(2)?
31
Let c = 285 - 543. Let j = 302 + c. Calculate the remainder when j is divided by 23.
21
Let r(b) = b**2 + 42*b + 117. Let n be r(-39). Let s(q) be the third derivative of q**4/12 + 5*q**3/3 + q**2. What is the remainder when s(n) is divided by 4?
2
Let p be 2/(-7) - (-9)/((-504)/(-968)). Suppose -23*g + 24 = -p*g. Calculate the remainder when 30 is divided by g.
2
Let s = 110 + -168. Let n = s - -53. Let u = n - -27. What is the remainder when u is divided by 8?
6
Let c(z) = -11*z - 6*z**2 + 7*z**2 + 40 + 17*z + 13*z. Calculate the remainder when 52 is divided by c(-18).
8
Let k = -11992 - -12005. Suppose -x = 5*w - 54, 3*x = 4*w + 181 + 57. Calculate the remainder when x is divided by k.
9
Let t(y) = -6*y**2 + 239*y - 54. Calculate the remainder when 554 is divided by t(39).
131
Let t be -6674*(-5)/35 + 24/42. Suppose -402 = 8*c - t. Calculate the remainder when c is divided by 4/10 + (-118)/(-5).
21
Suppose r - 5*s = 3, 9*r - 10*r - 9 = -s. Calculate the remainder when 69 is divided by (-6 - (7 + r))*-67.
2
Let j be ((-4)/14)/((-8)/14)*82. Let n = 52 - j. Suppose -4*m + 149 = -15. What is the remainder when m is divided by n?
8
Suppose 57 + 212 + 7849 = 41*c. What is the remainder when 305 is divided by c?
107
Suppose 34 = 5*h + 24. Suppose 10 - 40 = -h*f. Suppose 5*i - 4*i - 12 = -5*c, -5*i + 16 = 3*c. Calculate the remainder when f is divided by i.
1
Suppose 2908 = 3*n + 3*h - 2*h, -2*n + 2*h = -1920. Calculate the remainder when n is divided by 54.
49
Let x(r) = -r**3 + 10*r**2 - 35*r + 269. Calculate the remainder when 157 is divided by x(9).
17
Let o(b) be the third derivative of b**6/60 - b**5/12 + b**4/24 - 3*b**3/2 - 2*b**2. Let m = 135 - 131. What is the remainder when o(m) is divided by 15?
13
Suppose 102 + 94 = 4*n. Suppose 7*y - 193 = -46. What is the remainder when n is divided by y?
7
Suppose -291*g + 37 = i - 290*g, 4*g + 62 = i. What is the remainder when 967 is divided by i?
1
Let m = 16598 - 15612. Calculate the remainder when m is divided by 51 + 3*(4/12 + 0).
50
Suppose 38 = 6*b + 38. Suppose b*l + 2*w + 18 = l, -2*l + 5*w = -33. What is the remainder when l is divided by 8?
0
Let u = -1849 + 1920. Let o = 36 + -17. Suppose -u*d + 72*d - o = 0. What is the remainder when 55 is divided by d?
17
Let j be (-4)/(-6) - (-866)/6. Suppose -214*c + 179*c + 140 = 0. Suppose -a = c*a - j. Calculate the remainder when 113 is divided by a.
26
Let n = 17963 + -17670. What is the remainder when 896 is divided by n?
17
Let l(n) = 5*n + 4. Calculate the remainder when l(6) is divided by -2 - -5 - ((-1)/(-15) + 589/(-285)).
4
Let r = -2523 + 2555. Suppose -4*s + 0*u - 3*u + 340 = 0, -2*s = 5*u - 170. Calculate the remainder when s is divided by r.
21
Let s = 43 - 36. Let b(p) = -s*p**2 - 165*p**3 + 83*p**3 + 14 + 83*p**3. What is the remainder when 53 is divided by b(7)?
11
Let h be 106 + (-3 - (-8 + 0)). Let w = -52 + h. Calculate the remainder when w is divided by 22.
15
Suppose j + 45 = 4*n + 235, 5*n = 3*j - 535. What is the remainder when j is divided by 129*(0 - (-1)/3)?
41
Suppose -2 = -4*g + 18, -5*g - 1191 = -4*o. Let j be o/(-6) + 6/9. Calculate the remainder when 420/j*(-5)/2 is divided by 11.
10
Suppose 4413 = 18*q + 3477. Calculate the remainder when 143 is divided by q.
39
Let x = -61 + -77. Let c = x + 283. Suppose 3*u + 176 = 4*p + 4*u, 3*p = -4*u + c. What is the remainder when p is divided by 15?
13
Suppose -1286*a = -1165*a - 107932. What is the remainder when a is divided by 214?
36
Suppose -z - 6065 + 6139 = 0. What is the remainder when 2219 is divided by z?
73
Suppose 6*g = 3*g - 4*j + 354, 0 = -5*g + 5*j + 590. Calculate the remainder when g is divided by (-2)/(-12 - 858/(-72)).
22
What is the remainder when -1 + 1450 + (-610 - -586) is divided by 47?
15
Suppose 5*o - 3*z + 225 = 0, 5*o + z = -265 + 20. Let s = -33 - o. Calculate the remainder when 78/(-4)*(-4)/2 is divided by s.
9
Let k be (-40)/(-15)*(-12)/(-8). Suppose -b - 4*b - 4*r = -45, -k*b = -5*r + 5. Calculate the remainder when 9 is divided by b.
4
Suppose 9321 = h - 2215. Calculate the remainder when 405 is divided by (h/336)/(1/3).
96
Let z(g) = 7*g - 15. Suppose 0*o + 11 = o - 2*m, 33 = 3*o + 5*m. Calculate the remainder when z(o) is divided by 16.
14
Suppose 36 = 226*j - 220*j. Suppose 7*k - 156 = -j*k. What is the remainder when 28 is divided by k?
4
Let p(h) = h**3 - 39*h**2 + 139*h + 837. Calculate the remainder when p(38) is divided by 359.
8
Let k = -1976 + 3015. What is the remainder when k is divided by 174?
169
Suppose r - 6*w + w - 136 = 0, 4*w - 12 = 0. Suppose -u - 3*u + 34 = 2*s, -3*u + 22 = s. Calculate the remainder when r is divided by s.
4
Suppose -2*i - 4 = 2*q + q, -4*q = 2*i + 4. Suppose -3*b + 81 - 36 = q. Calculate the remainder when 27 is divided by b.
12
Suppose 26*n + 87*n = -260*n + 10444. Calculate the remainder when 6770 is divided by n.
22
Suppose 3*x - 8 = -3*o - x, -5*x + 37 = -3*o. Calculate the remainder when o/(-3) - 910/(-15) is divided by 17.
11
Let q(s) = -s + 16. Suppose 5*a = 3*w - 58, 0*w - 5*a = w + 14. Suppose -h - 1 = -w. Calculate the remainder when 10 is divided by q(h).
4
Let y = 4597 + -4556. What is the remainder when 1514 is divided by y?
38
Suppose 5*s - 2453 = -3*l, 827 = -27*l + 28*l + 3*s. Calculate the remainder when l is divided by 391.
24
Calculate the remainder when 160 is divided by (0 - 6) + 13 + 55.
36
Let f be 26/8 - (6 + 115/(-20)). Suppose f*t - 272 = w, 3*t - 5*w - 440 = -2*t. What is the remainder when t is divided by 16?
12
Let u = 305 - 637. Let m be u/14 - (-2)/(-7). What is the remainder when 43 is divided by (m*1)/(75/(-50))?
11
What is the remainder when (2 - 0)*((-513)/(-1