by b.
17
Let r(g) = g**2 - 43*g + 223. Calculate the remainder when r(5) is divided by 14.
5
Suppose -147*d = -134*d - 1077 - 2. Calculate the remainder when 328 is divided by d.
79
Suppose 1631 = 8*j + 311. What is the remainder when -1 + 793/3 - (-110)/j is divided by 53?
52
Let t(o) = 15*o**2 + 5*o + 6. Let g be t(-4). Suppose -g = -7*v + 6*v. What is the remainder when v is divided by 57?
55
Suppose -5*c - 5*q = -125, 6*q - 10*q - 8 = 0. Suppose 4*k + 4*l - 180 = 0, 0*k + 3*k = l + 127. What is the remainder when k is divided by c?
16
Calculate the remainder when 1754 is divided by 268272/612 + 12/(-34).
2
Let v(q) = q**2 + 4*q - 5. Calculate the remainder when 1168/2044 - 185/(-7) is divided by v(-6).
6
Let m(u) = u**3 + 4*u**2 - 4*u + 12. Let f(t) = 6*t**2 + 2*t + 1. Let a be f(-1). Calculate the remainder when a*(-5)/25*-19 is divided by m(-5).
5
Suppose -2*r + 0*i = -2*i + 950, -4*r + 5*i = 1903. Let p = -447 - r. Calculate the remainder when 67 is divided by p.
17
Let t(n) = -39*n + 106. Calculate the remainder when 215 is divided by t(2).
19
Let b = -39 + 81. Let n(i) = -6*i + 51. Calculate the remainder when b is divided by n(7).
6
Let w = -215 + 215. Suppose -69*x + 80*x - 110 = w. What is the remainder when 49 is divided by x?
9
Let j = 7 + -3. Suppose -10 = 4*l + 6, -107 = -c + 5*l. Suppose -c - 29 = -j*f. Calculate the remainder when f is divided by 16.
13
Let n = -622 + 565. What is the remainder when 372 is divided by (n/9)/(-5*1/75)?
87
Let k(f) = -f**2 + 8*f - 7. Let v = 8 + -3. Suppose 91 = 5*w - h, -2*w - v*h + 58 = -0*w. Calculate the remainder when w is divided by k(6).
4
Let z = -4625 - -4699. Calculate the remainder when 2663 is divided by z.
73
Suppose -4*d - 5*t + 138 = 0, -5*d + 251 - 68 = t. Suppose -d = -4*w - 5*p + 133, -2*p + 131 = 3*w. What is the remainder when w is divided by 12?
9
Suppose 0*f - 23 = -f. Suppose -20*k + 17*k + 18 = 0. What is the remainder when k - 6 - (-2 + -65) is divided by f?
21
Let t be 3105/10 - (-1 - (-9)/6). Let z be (-2)/6 + t/30. Suppose 0 = 2*f + z - 44. Calculate the remainder when f is divided by 14.
3
Let n be 60/24*208/8. Suppose -3*f - 3*j = -87, 61*j - n*j = -20. Calculate the remainder when 155 is divided by f.
11
Suppose 296 = 8*d - 192. Let p = 56 + d. Let g = 166 - p. What is the remainder when g is divided by 13?
10
Let m = -7222 + 7232. What is the remainder when 504 is divided by m?
4
Suppose 28 = -4*x + 44. Let z be x + -2 + (-3)/(-3). Calculate the remainder when 76 is divided by ((-31)/(-5) - z)*5.
12
Suppose 200 = 20*x - 15*x - 5*y, -4*y + 128 = 2*x. What is the remainder when 5803 is divided by x?
43
Let c = -2325 - -2514. What is the remainder when 1712 is divided by c?
11
Let l be 8 + -7 - -87*1 - 1. Suppose -36*o + 32*o = -248. Let k = l - o. What is the remainder when 47 is divided by k?
22
Suppose -4*n = 5*y - 104, -2*n - 4*y = -2*n. Suppose b + 3*b = -5*u - 24, -2*b + 4*u - 38 = 0. What is the remainder when (-12)/66 - 541/b is divided by n?
23
Suppose 25*i = 5*o + 23*i - 577, -422 = -4*o - 5*i. What is the remainder when 6778 is divided by o?
111
Suppose -3*o + 10 + 5 = 0. Suppose -32 - 3 = -o*j. Let i = -60 - -100. What is the remainder when i is divided by j?
5
Suppose 77 - 409 = -4*c. Let t = 4442 + -4438. Suppose -4*s = -t, 0*r - c = -3*r - 5*s. What is the remainder when 102 is divided by r?
24
Suppose -2*s + 392 = 4*m, -3*m + 5 + 1 = 0. Suppose -10*o = -12*o + s. What is the remainder when o is divided by 9?
6
Suppose -1143*z = -1130*z - 34242. Calculate the remainder when z is divided by 91.
86
Suppose -4*i + 2*c = -434, 4*i + 0*c + c = 431. What is the remainder when i is divided by 72?
36
Let a = 2 + 10. Calculate the remainder when (-2)/(-3) - 296/(-6) is divided by (a/10)/((-9)/(-135)).
14
Let k = 23935 - 23814. What is the remainder when 1311 is divided by k?
101
Suppose 5*i - 4*d = 694, -d - 2*d + 12 = 0. Let r be (-1)/2 + ((-230)/(-4) - -6). Suppose -i = -5*b + r. What is the remainder when b is divided by 16?
9
Suppose 0 = -f + 2*f + 105. Let a = -64 - f. Let m(n) = -2*n**3 - 2*n + 1. What is the remainder when a is divided by m(-2)?
20
Suppose 0 = 24*m - 23*m + 177. Let u = m - -186. What is the remainder when 80 is divided by u?
8
Let b(p) = -73*p + 1247. Calculate the remainder when 1154 is divided by b(17).
2
Let n(h) = -h**2 + 35*h - 36. Suppose -49 = -5*t + 116. What is the remainder when n(t) is divided by 20?
10
Let u(l) = 4*l + 8. Let b(z) = z**2 - 14*z - 27. Let g be b(16). Let h be u(g). What is the remainder when (-80)/(-1)*21/h is divided by 21?
18
Let u be (-806)/(-117) - 1/(-9). Suppose -65 = 2*n - u*n - 2*r, 5*r + 30 = 5*n. Calculate the remainder when 29 is divided by n.
7
Let d = -1531 + 1602. What is the remainder when d is divided by 14?
1
Let d = -64 - -66. Suppose d*i = -4*f + 422, 0*f = -3*f + 5*i + 297. Suppose -10*j = -6*j - f. Calculate the remainder when 75 is divided by j.
23
Let f = -65 + 53. Let g(k) = -k**3 - 12*k**2 - 14. Let y be g(f). Calculate the remainder when 96 is divided by y/(-21) - 73/(-3).
21
Suppose 60 = -i - 5*i. Let w be 6/((2/6)/(i/(-45))). Suppose w*y + z - 53 = 18, -5*z + 49 = 3*y. Calculate the remainder when 89 is divided by y.
17
Let v(t) = t**2 - 173*t + 4360. Calculate the remainder when v(29) is divided by 95/3 - (-2)/(-3).
29
Let n = 8 - 3. Suppose -3*j + 2*d + 47 = 0, -n*d = -j - 17 + 50. Suppose 2*b = -4*k + 155 + 47, 4*b - k = 404. Calculate the remainder when b is divided by j.
10
Suppose -56*r + r - 74*r + 1083213 = 0. Calculate the remainder when r is divided by 300.
297
Let j be 64/(-48)*(-1 + (-57)/6). Calculate the remainder when (-1 - (-2 + -6))/(1/j) is divided by 27.
17
Let l be (6/4)/(-3) - 147/(-2). Suppose 0 = 2*r + 67 - l. Suppose -j - r*j = -88. What is the remainder when 109 is divided by j?
21
Let d(j) be the first derivative of -5*j**2 + 24*j + 48. What is the remainder when 218 is divided by d(-2)?
42
Let z = -219 + 338. Suppose 5*k + 3*j = 494, -5*j + 9 = -k + z. Calculate the remainder when 6/(-4)*k/(-6) is divided by 14.
11
Suppose -5*b = -3*z - 91, 0 = 5*b - 2*z + 5*z - 109. Let s(h) = -h**3 + 54*h**2 - 78*h**2 - 3*h + b + 28*h. What is the remainder when s(-25) is divided by 6?
2
Let y(x) = 5*x**2 + 9*x - 4. Let h be y(-3). Suppose -2*b + 124 = -h. Let p(f) = 2*f**2 - 4*f + 2. What is the remainder when b is divided by p(4)?
15
Suppose 0 = 5*a - 15, 0 = -w - 5*a - 55. Let m be (1316/w)/(4/(-10)). Let f = m + -36. What is the remainder when 21 is divided by f?
10
Suppose -2*x - 86 = -a + 75, x + 850 = 5*a. Let s = a + -55. Calculate the remainder when s is divided by 35.
11
Suppose -194 = -4*u + 2*b, -2 = 5*b - 7. Suppose 0 = -4*q - 54 - 22. Let r = u + q. What is the remainder when 237 is divided by r?
27
Let r be -1304*(-1)/12 - (-4)/3. Let b = 112 - r. What is the remainder when 14 is divided by b?
0
Let b(t) = -8*t + 24. Let h(p) = -25*p - 279. Let m be h(-11). What is the remainder when b(m) is divided by 33?
23
Calculate the remainder when 105 is divided by 46 + 3 + (4 - 4 - -4).
52
Suppose 145*j - 9009 = 23616. Calculate the remainder when 1566 is divided by j.
216
Let i = 40 - 26. Let h be (-24)/(-16)*(-52)/(-6). Suppose u - b = 99, 4*b - 181 = -2*u - h. What is the remainder when u is divided by i?
10
Suppose 4241 - 3366 = 7*g. What is the remainder when 639 is divided by g?
14
Let k = -201 - -205. Suppose -5*n - 57 = -k*q, 0 = 17*q - 18*q + 3*n + 23. What is the remainder when 117 is divided by q?
5
Suppose 2*g = -g + 147. Suppose -f = -24 - g. Suppose -5*h + f = -4*b - 115, -6 = 3*b. Calculate the remainder when h is divided by 20.
16
Let v(p) = 4*p + 28. Let m(u) = -3*u - 29. Let j(d) = 3*m(d) + 2*v(d). Let a be j(26). Let c = -44 - a. Calculate the remainder when 179 is divided by c.
10
Suppose j - 6 - 19 = 0. Calculate the remainder when j is divided by (92/(-161))/(8/(-28)).
1
Let j(p) = -p**3 - 16*p**2 + 14*p - 1. Suppose -196 = 12*r + 8. Let k = 31 + -12. What is the remainder when j(r) is divided by k?
12
Let a(d) be the third derivative of -d**5/60 + 7*d**4/8 - 17*d**3/2 - 54*d**2. Calculate the remainder when a(15) is divided by 8.
7
Let y(z) = -7*z**2 - 608*z - 87. What is the remainder when y(-86) is divided by 106?
5
Let k = 506 + -259