 18. Let r = -800 + 808. What is the remainder when b is divided by ((-72)/20 + 6)/(r/20)?
3
What is the remainder when 3636 is divided by (-300)/(-15) + (-2090)/(-19)?
126
Let d(b) be the second derivative of -b**4/12 - 2*b**3/3 + 7*b**2/2 + b. Let i be (-26)/52 - ((-9)/(-2) + -2). What is the remainder when 38 is divided by d(i)?
8
Suppose 222*g = 102*g + 97*g + 2231. Suppose 50 = 3*d + 2*d. Calculate the remainder when g is divided by d.
7
Suppose -709 = -43*d - 150. What is the remainder when 25*1/(-1)*14/(-7) is divided by d?
11
What is the remainder when 47 is divided by (48/30)/((-17)/680*-4)?
15
Suppose -4*f + 475 = f. Calculate the remainder when f is divided by (94 - 87) + (2 - (-25)/1).
27
Suppose -1419 = -33*g + 1881. What is the remainder when 311 is divided by g?
11
Let c(j) = -10*j**2 - 3*j**2 + 10 + 5*j**2 - 3*j + 17*j**2. Let v be c(-3). What is the remainder when (v/7)/(4/14) is divided by 13?
11
Let r be (-150)/(1032/(-174) + 6). What is the remainder when 1/(1/16)*r/(-100) is divided by 27?
24
Suppose -3*u + 24 = -3*q, 19 = 4*u + 3*q - 13. Let m = -1612 - -1693. Calculate the remainder when m is divided by u.
1
Suppose 0 = 4*v - 4*o - 8, 0*v - 2*v = -4*o. Suppose i - 3*i = 3*j - 31, -2*j = v*i - 66. Calculate the remainder when 46 is divided by i.
12
Suppose -3*c = -2*t + 8, -c - 8 = -2*t - 5*c. Suppose -5*m + t*k + 48 = 0, m - 2*k = 3*k - 3. Calculate the remainder when 20 is divided by m.
8
Let p(y) be the third derivative of 5*y**5/12 + y**4/6 - y**3/3 + 12*y**2. Let i be p(1). Let g = -7 + i. What is the remainder when g is divided by 11?
9
Let j(r) = r**3 - 8*r**2 + 19*r + 8. Suppose 3*n + 2*n = -2*v + 175, 4*v - 371 = -3*n. Calculate the remainder when v is divided by j(5).
11
Suppose 0 = -35*p + 139 + 536 + 25. Calculate the remainder when 565 is divided by p.
5
Suppose 3708*g - 110 = 3697*g. Let y(s) = s**3 - 8*s**2 + 9*s - 2. Let m be y(7). Let p = m - -6. Calculate the remainder when p is divided by g.
8
Let j(l) = 262*l + 5559. What is the remainder when j(-15) is divided by 102?
99
Let w = -175 - -127. Let z = -17 - w. Suppose -4*s - s = -5*r + 65, 77 = 5*r - 2*s. What is the remainder when z is divided by r?
14
What is the remainder when 6692/49 + 32/(-56) is divided by (-988)/(-28) + 2/(-7)?
31
Let x = 5209 + -4451. What is the remainder when x is divided by 375?
8
What is the remainder when 470/3*((-819)/(-45) + 22) is divided by 70?
68
Suppose 15*j - 905 = 10*j. Let h = j - 169. What is the remainder when 31 is divided by h?
7
Let y = 293 + -677. Let h = y - -408. What is the remainder when -1 + 1 + 1 + 94 is divided by h?
23
Let a(j) = j**3 - 6*j**2 + 5*j. Let u = 23724 - 23607. Calculate the remainder when u is divided by a(6).
27
Suppose 2*v - 7 - 11 = 0. Suppose -2*y - 2*a - v = 3, -y = 3*a + 6. Let c(o) = 2*o**2 + 5. What is the remainder when c(y) is divided by 13?
12
Suppose -2*s + 60 = 2*y, 2*y - 100 = -2*y + s. Let c(w) be the first derivative of 3*w**2/2 + 26*w - 61. What is the remainder when c(17) is divided by y?
25
Let p = 66 + -39. Suppose -1116 = 56*h - 62*h. What is the remainder when h is divided by p?
24
Suppose -16*i - 122 = -18*i. Suppose -i*v = -49*v - 96. What is the remainder when 90 is divided by v?
2
Let j = 605 - 600. Suppose 14*d - 11*d + 135 = n, j*n + 4*d = 770. What is the remainder when n is divided by 69?
12
Let o = -140 + 159. Suppose 0 = 4*d + 2*t - 1470, 16*t - o*t = 4*d - 1465. Calculate the remainder when d is divided by 31.
29
Let x = -46001 - -46013. What is the remainder when x is divided by (-6)/(-15) - 26/(-10)?
0
Let c(m) = -217*m - 1037. Calculate the remainder when c(-7) is divided by 146.
44
Let b(t) = -30*t + 5. Suppose 33747*u - 33745*u + 10 = 2*l, -5*l + 3*u + 27 = 0. Calculate the remainder when b(-6) is divided by l.
5
Let w(u) = -4*u**3 + 5*u**2 + 69*u + 338. Calculate the remainder when w(-5) is divided by 23.
20
Let z(g) = 3*g**3 - 9*g**2 - 35*g + 121. Suppose 5*k - 704 = 4*w - w, -3*w - 9 = 0. What is the remainder when k is divided by z(3)?
11
Let f(c) be the second derivative of -c**4/6 + 4*c**3/3 + 7*c**2/2 - 19*c. Calculate the remainder when 159 is divided by f(4).
5
Let j = 30 + -14. Suppose 0 = -f + 3*f - 2, j = -g - 4*f. Let k = 31 + g. Calculate the remainder when 30 is divided by k.
8
Let g(k) = k**3 + k**2 + k + 68. Let o be g(0). Suppose -5*m - 12 + o = 2*b, -b + 22 = 2*m. Calculate the remainder when (4/(-3))/(40/(-600)) is divided by m.
8
Let r be ((-15)/(-9))/((-1)/21). Let n = r - -33. What is the remainder when 17 is divided by ((-21)/((-9)/3))/(-1 - n)?
3
Let n be (-3)/6*-26 - (-1 + 0). Suppose n = -9*v + 104. What is the remainder when 56 is divided by v?
6
Suppose 5*m - 4*m = 479. Let g = 598 - m. What is the remainder when g is divided by 24?
23
Let g = 279 + 264. Suppose g - 1859 = -7*a. What is the remainder when a is divided by 16 - 1 - (15 + -21)?
20
Let g(w) = 2*w**2 + 9*w. Let s be g(-6). Suppose -q + s = -19. Suppose -m + q = -47. Calculate the remainder when m is divided by 15.
9
Suppose -3*c = 3*w - 138, 3*c - 5*w - 242 + 0 = 0. Suppose -61 = -4*x + 1083. What is the remainder when x is divided by c?
50
Suppose 0 = -9*n + 5*n + 1520. Let w = n - 269. Suppose -2*z + 99 - 13 = -2*g, 0 = -5*z - 2*g + 180. Calculate the remainder when w is divided by z.
35
Let k = 131 + -51. Suppose -5*n + 0 = -k. What is the remainder when (-190)/(-3) + 4/(-12) is divided by n?
15
What is the remainder when (-64884)/(-28) + 60/(-210) is divided by 80?
77
Let w = -83 + 136. Suppose -197 + w = -3*v. Suppose -5*n + 158 = x - 166, -n + 4*x = -v. What is the remainder when n is divided by 11?
9
Let w = 157 + 0. Let z = -70 + w. Suppose 4*y - z = a, -46 = -3*y - 3*a + 8. What is the remainder when 83 is divided by y?
20
Suppose -1 + 33 = -4*n. Let t = n - -14. Calculate the remainder when 22 is divided by t.
4
Suppose -15 = 41*q - 44*q. Let a be 4 + q - 1/2*6. Let z(n) = -n**3 + 6*n**2 + 4*n + 8. What is the remainder when 61 is divided by z(a)?
29
Let s(x) be the third derivative of x**4/24 + 35*x**3/6 - 2*x**2. Let t = 111 - 119. What is the remainder when 52 is divided by s(t)?
25
Suppose 117*p - 3141 = 14058. Calculate the remainder when 569 is divided by p.
128
Suppose o = 9*d - 8*d - 519, -2*d = -o - 1040. What is the remainder when d is divided by 34?
11
Let l = 2025 - 2006. What is the remainder when 351 is divided by l?
9
Suppose -4*m - c = 29 - 30, -4*m - 1 = -c. Suppose m = -5*y + 10, 2*y + 2*y = -3*f + 185. What is the remainder when 112 is divided by f?
53
Let u(q) = 2*q**2 - 32*q - 8. Let v(c) = -27*c + 15. Calculate the remainder when v(-8) is divided by u(17).
23
Suppose -337*y + 5372 = -332*y - 2*a, -2*a = 5*y - 5348. Calculate the remainder when y is divided by 209.
27
Let o(q) = q**3 + 8*q**2 + 12*q + 8. Calculate the remainder when 43 is divided by o(-4).
19
What is the remainder when 3632 is divided by (-80)/(8/6*90/(-96))?
48
Let c(r) = -r**3 + 7*r**2 - 4*r - 7. Suppose n = -6*n + 35. Suppose 9 - 34 = -n*f. Calculate the remainder when 45 is divided by c(f).
22
Let s = -5 - -7. Suppose 3*j - 2*t = 8, 1 - s = j + 3*t. Suppose -n = -p + 14, -27*p - 33 = -29*p + 3*n. Calculate the remainder when p is divided by j.
1
Let g = -270 + 428. Let s = g + -106. What is the remainder when s is divided by 9?
7
Suppose 0 = -25711*s + 25690*s + 5670. What is the remainder when s is divided by 25?
20
Let h = 97 - 95. Suppose 4*u + d = 36, -u = -h*u + 5*d + 30. What is the remainder when u is divided by 0 - 8*1/(-1)?
2
What is the remainder when 2772 is divided by (9/(-15))/((-14)/350)?
12
Suppose 9*x + c = 126652, 129*x - 3*c + 14084 = 130*x. What is the remainder when x is divided by 92?
88
Let g be 1587/(-7) + -7*18/441. Let d = -222 - g. Calculate the remainder when 15 is divided by d.
0
Let o(h) = -38*h - 2036. What is the remainder when 809 is divided by o(-54)?
9
Let i(u) = -10*u - 56. Suppose 3*g + 2*g - 5*n = -60, -4*n = 2*g + 18. Suppose -23 - 17 = -5*c. What is the remainder when i(g) is divided by c?
6
Let n(s) = -134*s - 230. Let g = 1 + 0. What is the remainder when n(-3) is divided by 6/3*g + 33?
32
Let a(w) = -w**3 + 13*w**2 + 8. Let v(s) = -s**2 - 4*s + 6. Let h be v(-8). Let g = 36 + h. What is the remainder when g is div