remainder when 29 is divided by b.
14
Let u(l) = -4 - 1 - 6*l - 72*l**2 - 1 + 75*l**2. Calculate the remainder when u(5) is divided by 7.
4
Let b = 91 - 33. Calculate the remainder when b is divided by 20.
18
Let g(h) = -h**3 - h**2 - h + 11. Let r be 6/54 + (-1)/9. Suppose r = -4*l - 55 + 183. Calculate the remainder when l is divided by g(0).
10
Let n(t) = t**2 + t + 10. Let m(b) = 4*b + 7. Let i be m(-6). Let l = i + 17. What is the remainder when n(l) is divided by 6?
4
Let h(i) = 0*i - 4 - 8*i - 1 - i**2 - 5. Let c be h(-7). Calculate the remainder when (c - -2)/1 - -55 is divided by 14.
12
Let y(v) = v**3 + 9*v + 12*v + 5*v**2 + 20*v - 4 - 43*v. Let r be (1 + 0)*(-10)/2. Calculate the remainder when 14 is divided by y(r).
2
Let b = -109 + 126. Calculate the remainder when 405 is divided by b.
14
Let j = 13 - 10. Let p(x) = -x**2 - 10*x + 5. Let b(z) = -z**2 - 10*z + 4. Let o(w) = j*b(w) - 4*p(w). What is the remainder when 47 is divided by o(-12)?
15
Let g = -17 - -26. Let o(r) = 0*r**3 + 6*r**2 + 7*r - 2*r**3 - 8 + r**3. Calculate the remainder when o(6) is divided by g.
7
Let m(f) = -f. What is the remainder when m(-38) is divided by 5?
3
Let b = -21 + 24. Suppose 31 = 2*s + b*s + 3*d, -2*d + 19 = 3*s. Let z(w) = w + 2. Calculate the remainder when 18 is divided by z(s).
4
Let l = -265 - -286. Suppose -3*w + 108 = 3*p + 2*p, -2*w + 4*p = -72. What is the remainder when w is divided by l?
15
Calculate the remainder when ((-80)/15)/(-4)*15 is divided by 10.
0
Suppose 3*s - 3 = 0, -s - 29 = -3*b - 0*s. Let z(a) = -2*a + b*a + 3*a. Calculate the remainder when z(5) is divided by 19.
17
Let d(y) = y - 9. Let k be d(-13). Let n = k + 4. Let l = 25 + n. Calculate the remainder when l is divided by 3.
1
Calculate the remainder when 25 is divided by (13/2)/((-6)/(-4) - 1).
12
Let l(s) = -3*s - 1. Let w be l(-1). Suppose -3*n - w*n + 55 = 0. Let b = 281 + -227. What is the remainder when b is divided by n?
10
Suppose -3*k - 4 = -2*u - 22, -5*k + 30 = -5*u. Calculate the remainder when 8 is divided by (-12 - -7)*k/(-5).
2
What is the remainder when (1*-73 - 1)*(-6)/12 is divided by 9?
1
Suppose -4*b - 5*q - 10 = b, -5*b - 4*q = 10. Calculate the remainder when 9 is divided by (-33)/14*b + (-76)/(-266).
4
Suppose 13*t + 203 = 5*c + 9*t, 4*c + 5*t = 146. Calculate the remainder when c is divided by 16.
7
Let l be (20/8 - 3)*-2. Suppose 11 + l = -2*z. Let c(d) = -d**3 - 5*d**2 + 3*d - 2. Calculate the remainder when 63 is divided by c(z).
15
Suppose 5*b = -i + 6*i - 35, -b + 8 = 4*i. Let p be i*66*8/18. Suppose z - 5*z = -p. What is the remainder when 64 is divided by z?
20
Calculate the remainder when (498/(-8))/(13/((-1664)/12)) is divided by 35.
34
Calculate the remainder when 14 is divided by 2/1 - (-1)/(7/35).
0
Let j(b) = 16*b + 188. Calculate the remainder when j(2) is divided by 23.
13
Let g(i) = 2*i**2 - 3*i + 57. Calculate the remainder when g(0) is divided by 31.
26
Let u be (-260)/45 + (-2)/9. Let d = 41 - u. Calculate the remainder when d is divided by 12.
11
Let g(q) = -2*q - 22. Let f be g(16). Let a = f + 153. Calculate the remainder when a is divided by 34.
31
Calculate the remainder when 267 is divided by (2/(-4))/(20/(-2760)).
60
Suppose 3*r = -4*p + 84, 5*p = 4*r - 4 + 78. Let v = -144 - -249. Calculate the remainder when v is divided by p.
15
Let y(r) = -r - 3. Suppose -22 = -2*n - 8. Let c be y(n). Let q = c - -21. What is the remainder when 30 is divided by q?
8
Suppose 80*g - 300 = 70*g. Calculate the remainder when 140 is divided by g.
20
Suppose 2*t = -3*q + 183, 6*q - 2*q = 5*t - 515. Calculate the remainder when t is divided by 38.
23
Let l(s) = -7*s**3 - 3*s**2 - 9*s - 16. Calculate the remainder when l(-2) is divided by 11.
2
Let b(i) = 6*i + 7. Let f(w) = -6*w - 8. Let v(h) = 5*b(h) + 6*f(h). What is the remainder when v(-14) is divided by 12?
11
Let r(y) = -32*y - 10. Let u be r(-4). Let m = -78 + u. What is the remainder when 77 is divided by m?
37
Let h(j) = 7*j + 129. Suppose 0 = w + 3*w - 24. Calculate the remainder when h(-17) is divided by w.
4
What is the remainder when (-1170)/(-22) + -1 + 18/22 is divided by 28?
25
Let m(b) = -2*b**2 + 71*b + 64. Calculate the remainder when m(36) is divided by 8.
4
Suppose 3*z + 191 = 4*c, -14*c = -18*c + z + 197. Let o = 14 + -9. Suppose 4*f - 73 = -o*w, 4*w - 4*f + 2*f = 48. What is the remainder when c is divided by w?
11
Let u be (-5 - -1)/((-14)/161). Suppose n = -4*g - g + 102, -u = -2*g - 3*n. Calculate the remainder when 76 is divided by g.
16
Suppose 4*f + 2*o - 4194 = 0, -4*f + 11*o - 7*o + 4212 = 0. What is the remainder when f is divided by 96?
90
Let s be ((-12)/21)/(8/(-28)). Let g(p) = 2*p**3 + 0*p**2 + 0*p**3 + 1 - 3*p**2. What is the remainder when 9 is divided by g(s)?
4
Let p = -1019 + 1151. What is the remainder when p is divided by 20?
12
Let o(u) = 79*u**2 + 2*u. Calculate the remainder when 158 is divided by o(1).
77
Let s(a) = 3*a + 6. Let z be s(-2). Suppose 4*x - 151 + 43 = z. What is the remainder when 80 is divided by x?
26
Let x be (-49)/(-4) + (-3)/12. Calculate the remainder when 47 is divided by 4 + -4 + x - -4.
15
Suppose z - 4 = -5. Suppose -5*j = 2*f - 340 + 34, 126 = 2*j - f. Calculate the remainder when j is divided by (160/25)/(z/(-5)).
30
Suppose -19*w = 15*w - 17238. Calculate the remainder when w is divided by 30.
27
Let m(j) = -4*j**3 - 6*j**2 + 3*j - 3. Let s be m(-5). Suppose 5*h = -4*w + s, -5*w + 69 = 2*h - 74. Calculate the remainder when h is divided by 11.
9
Calculate the remainder when 244 is divided by 214/8 + 345/276.
20
Let d(p) be the second derivative of -p**4/12 + 13*p**3/6 - 5*p**2 - 11*p. Let o = 113 - 67. What is the remainder when o is divided by d(11)?
10
Suppose -5*x = -24 - 76. Let m = x + -10. What is the remainder when 32 - (7/(-28))/(2/56) is divided by m?
9
Let j = 29 - 23. Suppose 2*i + 10 = 3*i. What is the remainder when i is divided by j?
4
Suppose -2 = -2*s + 2*h + 6, -4 = -3*s + 5*h. Suppose 3*y = -g + 24, 0*g + 49 = g - 2*y. Calculate the remainder when g is divided by s.
7
Suppose 0 = -2*l - 4*w - 2 + 8, -4*l = -4*w - 24. What is the remainder when 272 is divided by l?
2
Let t = 11 - 5. Suppose t*i - 30 = i. Suppose -140*h + 289 = -123*h. What is the remainder when h is divided by i?
5
Suppose -2*a = -3*o + 230, -12*a = 2*o - 15*a - 150. Suppose 3*f - 16 - 65 = 0. What is the remainder when o is divided by f?
24
Let a(b) = 3*b**2 - b + 3. Let v = 6 + -10. Let i(o) = 2*o**2 + o - 3. What is the remainder when a(4) is divided by i(v)?
22
Suppose -4244*f + 4239*f + 120 = 0. Calculate the remainder when 94 is divided by f.
22
Suppose 0 = 4*u + 5*q + 89, -5*u + 3*q = 26 + 39. Calculate the remainder when (-1)/((2*-1)/142) is divided by u/((-14)/(-6) - 3).
23
What is the remainder when 347 is divided by (-36)/(-216) + (-1390)/(-12)?
115
Suppose v - 2*i = 16, -v + 5*i + 60 = 4*v. Calculate the remainder when v is divided by -3 + 0 + 3 + 3.
2
Suppose -42 = -2*y + 142. Suppose -5*r + y - 2 = 0. What is the remainder when 8/6 + 5356/78 is divided by r?
16
Let f = 249 - 232. Calculate the remainder when 32 is divided by f.
15
Suppose 3*x + 2*x + 2*b - 11 = 0, 3 = -x - 3*b. Suppose 7*d - x*y - 461 = 2*d, -2*d + 3*y = -179. Calculate the remainder when d is divided by 12.
10
Suppose -c - 186 = -2*j, j = 6*j + 3*c - 465. Let i(g) = -6*g - 4. What is the remainder when j is divided by i(-6)?
29
Let u(x) = x**3 - 10*x**2 + 4. Let g be u(10). Let b = g + 10. Suppose t = -2, i = -i + 3*t + 22. What is the remainder when b is divided by i?
6
Calculate the remainder when 1/((9 + -3)/642) is divided by 22.
19
Let o(z) = -z**2 + 12 + 13*z - 20 - 14 + 2*z**2. Suppose -3*w + 19 - 64 = 0. What is the remainder when o(w) is divided by 3?
2
Let b(w) = 5*w**2 + 5*w + 16. Let z = 3 + -9. Calculate the remainder when 201/2 - 3/z is divided by b(-2).
23
Suppose 0*p - p - 5*g - 85 = 0, -322 = 4*p + 2*g. Let b = -56 - p. What is the remainder when -3*(-2 - 13) + -1 is divided by b?
20
Suppose 7*r + 2149 = 6181. Calculate the remainder when r is divided by 34.
32
Let q = 2 + -1. Calculate the remainder when (86/8 - 4)*(-32)/(-24) is divided by q/(-1)*(-3 + -2).
4
Suppose -4*t - 4*b = -44, 5*b = -t + 9 + 6. Let u = 1844 + -1837. W