e -5*o - 4*l = -107, -o - s = -6*o - 3*l. What is the remainder when 40 is divided by o?
17
Let h be 204 + (0/26)/(-1 + 0). Let z = 283 - h. Calculate the remainder when z is divided by 33.
13
Let n(h) = -h**2 - 20*h - 69. Let o be (-2)/(-13) - 2244/221. Suppose 267 = 5*y - 2*y. Calculate the remainder when y is divided by n(o).
27
Suppose 6*z = -z - 5*z + 288. What is the remainder when 191 is divided by z?
23
Suppose 5*y - 4 - 16 = 0. Let b(k) = k**3 + 26*k**2 - 2*k - 21. Let t be b(-26). Let j = 34 - t. Calculate the remainder when y is divided by j.
1
Suppose -50*y - 2*g = -53*y + 12698, g = -9*y + 38066. What is the remainder when y is divided by 1055?
10
Let r = -253 + 283. Suppose -2*w = -5*i + r, 3*i = w - 6 + 23. Suppose -5*q = 5*v - 10, q = -0*q + 4*v + 27. Calculate the remainder when q is divided by i.
3
Let z = -12247 - -12249. Let v = 3 + 7. Let f(c) = -c**3 + 9*c**2 + 10*c + 5. Calculate the remainder when f(v) is divided by z.
1
Let u = -244 + 252. Suppose -5*v = -5*n - 200, u*v - 6*v + 3*n = 75. Calculate the remainder when v is divided by 14.
11
Let w(f) = 2*f**3 - 22*f**2 - 22*f - 19. Let s be w(12). Suppose 0 = -5*l + 3*u + 65, -2*u - 44 + s = -3*l. What is the remainder when 102 is divided by l?
11
Let l(d) = -2*d - 14. Let t be l(8). Let b = t + 60. Let m = -82 - -91. Calculate the remainder when b is divided by m.
3
Let g(c) be the first derivative of 91*c**3/3 + 2*c**2 + 3*c + 58. Let i(a) = 32*a**3 - a. Calculate the remainder when g(-1) is divided by i(1).
28
Let m(w) = -21*w + 15. Let b be m(5). Let i = -32 - b. Suppose -i*k - 8 = -60*k. Calculate the remainder when 10 is divided by k.
2
Suppose 9*m + 351 = g, 14*m - 18*m = -2*g + 730. What is the remainder when 1132 is divided by g?
25
Suppose 9*x - 14641 = -13678. Calculate the remainder when 403 is divided by x.
82
Let a be 1/4 + (7 - (-1000)/(-32)). Suppose 3*h + 4*v + 101 = 0, v = -2*h - 0*h - 69. Calculate the remainder when 33 is divided by (0 + h)*a/40.
12
Suppose q - 30 = 4*p + p, -4*q = 4*p - 144. Suppose 63*g = 64*g - q. What is the remainder when g is divided by (-9*1)/(-3) + 10?
9
Suppose 68*d = 37*d + 33*d - 408. What is the remainder when 1015 is divided by d?
199
Let o(m) = -m**2 + 14*m + 7. Let r(v) = -v**3 - 10*v**2 - 18*v - 3. Let i be r(-8). What is the remainder when 78 is divided by o(i)?
18
Calculate the remainder when 1325 is divided by 120 - 22 - (13 + -9).
9
Suppose -7*r = -8*r + 4. Let b = -9 - r. Let t = b + 45. Calculate the remainder when t is divided by 7.
4
Let o(m) = m**2 + 38*m + 275. What is the remainder when o(-6) is divided by 3?
2
Suppose -4*t + 54 = 3*c - 7, 0 = -10*c - 5*t + 170. Calculate the remainder when 3868 is divided by c.
13
Let r = -17 - -40. Suppose x + 0*x - r = 0. Let t = -12182 + 12195. What is the remainder when x is divided by t?
10
Let c be (-6 - -3) + 383 + -2. Suppose -p + c = 5*f + 114, 2*p + 2 = 0. Let h = f + -48. What is the remainder when 18 is divided by h?
3
Let g(j) be the third derivative of j**5/20 - 5*j**4/12 + 13*j**3/6 - 2*j**2 - 3. Suppose 12 = 3*a - 3. What is the remainder when 74 is divided by g(a)?
36
Suppose 117*o + 104 = 119*o. Suppose 70 = p + 65. Calculate the remainder when o is divided by p.
2
Let g = 2237 - 1754. Suppose -8*j + 54 = -7*j. What is the remainder when g is divided by j?
51
Suppose 25*y = -13*y + 7*y + 3193. What is the remainder when 1007 is divided by y?
80
What is the remainder when (-3)/(4*(-21)/(-280)) + 1429 is divided by 237?
234
Suppose 892 = 26*j - 1767 - 149. Suppose 0*p + 6 = -3*p, 4*g - 180 = -4*p. Suppose -g = -d + j. What is the remainder when d is divided by 40?
35
Suppose 27 - 87 = -2*h. Suppose 3*x - 20 = 31. Calculate the remainder when h is divided by x.
13
Let v(h) = -h**3 + 31*h**2 + 3*h - 47. Let n be (161/(-14) - 4)/(2/(-4)). What is the remainder when 183 is divided by v(n)?
45
Calculate the remainder when -7 - (6 - (680/2 - (-11 - -2))) is divided by (25 + 2 - 1)*1.
24
Let t(w) = -w**2 - 20*w + 25. Suppose -24 = h - 27. Let u be (-2)/(-1) + (-69)/h. What is the remainder when 5 is divided by t(u)?
1
Let v = -112 - -172. Let x = -736 + 757. What is the remainder when v is divided by x?
18
Let j(m) = m - 2. Let c be j(5). Suppose 4*l = -c*x + 148, -3*x - 60 = -2*l - 220. Calculate the remainder when 195 is divided by x.
39
Suppose 312 = 28*p - 52. What is the remainder when 372 is divided by p?
8
Let z = 8100 + -7878. What is the remainder when z is divided by 38?
32
Suppose 5*a - 105 = 5*k, -59 = -3*a + 3*k + 2*k. Calculate the remainder when 73 is divided by a.
4
Suppose -2*o - 34*i + 102 = -32*i, -4*o - i + 195 = 0. Calculate the remainder when 201 is divided by o.
9
Let d(i) = -i**2 - 13*i + 23. Suppose 19*u = -257 + 124. Calculate the remainder when d(u) is divided by 20.
5
Suppose 0 = -8*o - 8*o + 64. Calculate the remainder when 70/o*(-252)/(-49) - -5 is divided by 6.
5
Let s(k) = -k**3 - 15*k**2 - 5*k - 2. Let y be s(-14). Let t = y - -249. Suppose -1 + t = 10*o. Calculate the remainder when 23 is divided by o.
11
Let m(f) = 63*f + 156. Let p(d) = 4*d + 1. What is the remainder when m(-2) is divided by p(3)?
4
Let u(i) = 32*i**2 + 28*i - 74. Calculate the remainder when u(4) is divided by 93.
85
Suppose 3100 - 2770 = 37*i - 4480. What is the remainder when 381 is divided by i?
121
Let k(f) = -4*f**3 - 2*f**2 - 2*f + 4. Let l(g) = 7*g**2 - 129*g + 71. What is the remainder when k(-4) is divided by l(18)?
15
Suppose 5*u - 3*c - 652 = 0, 4*u - 116 = 3*u - 3*c. What is the remainder when u is divided by -12 + -5*(-342)/45?
24
Let i(k) = 19*k + 85. Let n be i(-5). Let b = 15 + n. What is the remainder when 48 is divided by b?
3
Let t be (3 + -9)/(8/152). Let w = t + 140. What is the remainder when w is divided by -2 - -2 - (3 - 10)?
5
Let t(z) = 1182*z + 4828. Calculate the remainder when 1697 is divided by t(-4).
97
Let t = -5948 - -6021. Let z = 248 + 116. What is the remainder when z is divided by t?
72
Let b(n) = -17*n**2 - 1344*n + 82. Calculate the remainder when 359 is divided by b(-79).
37
Let k(n) = -n**2 - 53*n + 109. Calculate the remainder when k(-24) is divided by 16.
5
Let t = 4 + 7. Suppose -215*i = -220*i + 1145. Let l = i - 121. What is the remainder when l is divided by t?
9
Suppose 13*x + 12*x = -30*x + 3740. Calculate the remainder when 395 is divided by x.
55
Suppose -70*g = -15116 - 4. Calculate the remainder when g is divided by 81.
54
Suppose 0 = -4*r + 2*x + 6092, -3*r + 2091 = 2*x - 2492. What is the remainder when r is divided by 128?
117
Let t = 17220 + -17138. Calculate the remainder when 673 is divided by t.
17
Let h = 176 - 61. Let a = 214 - h. Let d = a - 82. What is the remainder when 39 is divided by d?
5
Let b = -86 - -90. Suppose y = -0 - b, 5*p - 82 = -2*y. Let h(g) = -15*g - 5. Calculate the remainder when h(-5) is divided by p.
16
Suppose 5*l = -5*o + 121895, -4*o - 2*l + 114918 = 17406. Calculate the remainder when o is divided by 106.
103
Suppose 0 = 17*d - 47 + 13. Let z be (40/55)/(-4) + d/11. Suppose z = 3*f - 3*b - 312, 0*f - 322 = -3*f + b. Calculate the remainder when f is divided by 14.
11
Let c = -1281 - -1396. What is the remainder when 4138 is divided by c?
113
Suppose -3*d = -t - 7*d - 7, 0 = 3*t + 2*d - 19. What is the remainder when 22 is divided by t?
4
Let t = 6914 + -6287. What is the remainder when t is divided by 122?
17
Suppose 5*m = -3 + 13. Let w(v) = 4*v**3 + v + 5. What is the remainder when 75 is divided by w(m)?
36
Let y(b) = b**3 + 29*b**2 + 121*b + 10. What is the remainder when y(-21) is divided by 326?
19
Suppose 5*d + a - 3857 = 0, -12*d + 3861 = -7*d + 3*a. What is the remainder when d is divided by 38?
11
Suppose 140 = 5*y + 3*p, 3*p = 24 - 9. Calculate the remainder when 721 is divided by y.
21
Suppose -o + 7160 = -5*o + 4*m, 3*m = o + 1788. Calculate the remainder when o/(-15) - (24/30)/2 is divided by 11.
9
Suppose 25*h - 80 = 19 + 26. What is the remainder when 152 is divided by h?
2
Calculate the remainder when 43648/33 - (-105)/(-63) is divided by 147.
145
Suppose -6 = 4*g - g. Let v = -4775 - -4772. Calculate the remainder when 47 is divided by (g - 5/(-1)) + (6 - v).
11
Calculate the remainder when 926 is divided by 3*-5 + -17 + 76.
2
Let z(u) = -u**3 - 14*u**2 