is the remainder when d(6) is divided by 1?
0
Let r(c) = 43*c + 237. Suppose -3*f - 15 + 0 = 0. What is the remainder when r(f) is divided by 14?
8
Let h(r) = -6*r - 40. Let t be h(-5). What is the remainder when 104 is divided by t/(-90)*3*66*1?
16
Let g(c) = 2*c**2 - c + 2. Suppose -9*t + 10*t - 2 = 0. Let l be g(t). Suppose 7*w + 12 = l*w. Calculate the remainder when 22 is divided by w.
10
Let a = -708 + 784. Calculate the remainder when 264 is divided by a.
36
Let s(x) = -x**2 + 12*x + 27. Let h be s(18). Let g = 85 + h. Suppose 21 = k + 2*k + 2*n, g*k - 28 = 4*n. What is the remainder when k is divided by 4?
3
Suppose -63*h = 91*h - 1078. Calculate the remainder when 1054 is divided by h.
4
Suppose -4*z = 5*d - 531, -5*d - 18*z + 21*z + 538 = 0. Calculate the remainder when 6631 is divided by d.
104
Suppose -5*p + 3*q = q - 186, 2*q = -5*p + 194. Suppose -9*f + 1640 = p. Calculate the remainder when f is divided by 30.
28
What is the remainder when 1801 is divided by -4 + 7908/72 + 5/30?
105
Let w = 423098 - 423043. Let b = 128 + 90. Calculate the remainder when b is divided by w.
53
Suppose -3*y + 14 + 7 = -4*h, 3*h = -9. Suppose g + 247 = y*n + 2*g, 4*g + 91 = n. What is the remainder when n is divided by 17?
15
Suppose 14130 = 25*v + 430. What is the remainder when v is divided by 95?
73
What is the remainder when 1/((-34)/136) - (-125 - 0/(-2)) is divided by 53/2 - 3/2?
21
Suppose 4*w + 3*z = 247, -5*w + 5*z + 37 + 263 = 0. Calculate the remainder when 11284 is divided by w.
60
Suppose 0 = -3*u - 2*i + 418, 9*i = 4*i + 25. Calculate the remainder when 182 is divided by 2289/51 + 16/u.
2
Let h(i) = 3*i + 2. Let a(c) = 4*c + 172. Suppose 76 = -2*z - f, 5*z - 1 = 5*f - 176. What is the remainder when a(z) is divided by h(4)?
10
Suppose -3*m + 239 = 2*g, -3*g - 2*g - 440 = -5*m. Calculate the remainder when m is divided by 20/(-6)*(2034/90 - 25).
3
Suppose 27*j = 23*j + 4224. Suppose 0 = -11*b - 0*b + j. Suppose -5*r + b = -2*r. What is the remainder when 61 is divided by r?
29
Let z = 210 + -174. Let u(d) = -d**2 + 35*d + 46. Let o(b) = -4*b + 2. What is the remainder when o(-6) is divided by u(z)?
6
Let u(j) = 11*j + 0*j + 92 - 9. Let t(l) = 4*l + 28. Let c(h) = -8*t(h) + 3*u(h). Calculate the remainder when 62 is divided by c(-9).
14
Suppose -q + 3*s + 12012 = 0, 34*s + 59965 = 5*q + 38*s. Calculate the remainder when q is divided by 75.
72
Suppose 0 = -26*o + 24*o - 3*r + 55, 27 = o + 2*r. What is the remainder when o is divided by (2/6)/((-8)/(-432))?
11
Let i(u) = u**2 + 13*u + 24. Let z be i(-9). Let w be (-1*474/z)/((-2)/(-4)). Let b = 181 - w. What is the remainder when b is divided by 26?
24
Let q be -267*(6/12 - 3/18). Let d = -85 - q. Suppose d*s = 296 + 228. What is the remainder when s is divided by 33?
32
Let p(n) = -n**3 + 18*n**2 - 145*n + 2304. Calculate the remainder when p(17) is divided by 73.
55
Let x = -3254 + 3375. What is the remainder when 549 is divided by x?
65
Let a = -319 - -331. What is the remainder when 862 is divided by a?
10
Let y(n) = 5*n**2 + 278*n + 5020. Calculate the remainder when y(-17) is divided by 24.
11
Suppose 23*v - 19*v + 2968 = 0. Let h = -725 - v. What is the remainder when h is divided by 12?
5
Let q = -194 - -221. Suppose -5 = w - q. What is the remainder when 131 is divided by w?
21
Suppose 1141*l = 1131*l + 2220. Suppose -6*a = -347 + 77. Calculate the remainder when l is divided by a.
42
Let i = 545 - 522. Let h(a) = 6*a - 111. Calculate the remainder when 134 is divided by h(i).
26
Calculate the remainder when (7/7)/(-1) - 2475/(-11) is divided by 18.
8
Let m(w) = w**3 + 20*w**2 - 4*w - 18. Calculate the remainder when m(-20) is divided by (15/(-10))/(2 - (-87)/(-42)).
20
Let p(r) = -6*r + 74. Let w be 1/(2/5 + (-27)/105). Calculate the remainder when 151 is divided by p(w).
23
Suppose -127*m + 103*m = -408. Calculate the remainder when 2768 is divided by m.
14
Let j = 30570 - 30194. Calculate the remainder when 488 is divided by j.
112
Let n(j) = -2*j**3 + 24*j**2 - 16*j - 10. Let p be n(11). Suppose -p*a + 24*a + 736 = 0. Let g = 6 - 2. What is the remainder when a is divided by g?
3
Suppose -2*n - 372 = -6*n + 4*h, 378 = 4*n - 2*h. What is the remainder when 1271 is divided by n?
23
Let v = -59 + 57. What is the remainder when -2*(4 - 21/6)*-65 is divided by 1/(70/34 + v)?
14
Let b be (1*(3 - 2))/(1/107). Let m = 125 - b. What is the remainder when 61 is divided by m?
7
Let p = -44 + 50. Suppose p = 4*i - 346. What is the remainder when i is divided by 0 - (-12 + (1 - -1))?
8
Suppose r + 5*x + 6 = 0, 0 = -3*x - 1 - 8. Let w be (r - 0) + 4 + 2. Suppose 7 - w = -d. Calculate the remainder when 31 is divided by d.
7
Let j(q) = -q + 14. Let s(v) = 12*v - 104. Let m be s(9). Calculate the remainder when 27 is divided by j(m).
7
Let i = -63 - -69. Suppose 1 - i = -h, -3*z = -3*h. Suppose 3*t = -3*a - 93 + 468, -a = -z*t - 125. Calculate the remainder when a is divided by 16.
13
Let y(h) = -h**3 + 7*h**2 + 2*h + 2. Let j = 31 + -18. What is the remainder when y(6) is divided by j?
11
Let n be 16 - 4 - (3 + 5). Suppose -119 = -2*x - 3*x - 2*c, -5*x + 117 = c. Let r = x - n. Calculate the remainder when 56 is divided by r.
18
Suppose 3180*w = 3185*w - 14315. What is the remainder when w is divided by 191?
189
Let v = 624 - 588. Let w(b) = -b**3 + 37*b**2 - 34*b - 53. Calculate the remainder when w(v) is divided by 10.
9
Let d(q) = 2*q + 12. Let t be d(-6). Suppose t = 3*b - 2*z - 28, -18 = -5*b + 4*z + 30. What is the remainder when b is divided by 2?
0
Let g be (-4 - (-28)/12)*-3. Suppose -g*i = -8*i - 264. What is the remainder when 47 is divided by i/(-55)*5*2?
15
Let o = 55 - 31. Let u(n) be the third derivative of -n**6/120 + 13*n**5/60 + 11*n**4/12 - 17*n**3/6 + 3*n**2. What is the remainder when u(14) is divided by o?
23
Let a(p) = p**2 - 16*p - 18. Let r be a(15). Let l be 2/(-6)*r + 3. What is the remainder when 357/l*2/1 is divided by 28?
23
Let w = 21 - -33. Suppose 0 = 3*i - w - 162. Suppose -p = 2*b - 38 + 3, 2*p - i = -2*b. What is the remainder when p is divided by 22?
15
Suppose w - 4*p = 22031, 408*w = 412*w - 4*p - 88172. Calculate the remainder when w is divided by 16.
15
Let m(z) = -8*z - 5. Let s(a) = a**2 + 4*a - 1. Let k be s(-3). Let x(h) = 109*h - 385. Calculate the remainder when x(4) is divided by m(k).
24
Let q(u) = 144 - 5*u - 3*u**3 - u**2 - 148 - 2*u**2. Suppose 7*s - 2*s = -z - 8, -12 = 4*s - 2*z. Calculate the remainder when 70 is divided by q(s).
16
Suppose 4*a + 2450 = -j, -3*j - 538 + 2368 = -3*a. What is the remainder when a/(-21)*77/22 is divided by 35?
32
Let i(y) = -6*y + 42. Let t be i(11). Let z = 49 + t. Let g(q) = 17*q - 5. What is the remainder when g(6) is divided by z?
22
Suppose 29*a = 1744 + 431. Suppose 0 = 2*d + 5*d - 252. Calculate the remainder when a is divided by d.
3
Let m = 8698 + 7446. What is the remainder when m is divided by 26?
24
Suppose -71 = -11*y + 160. Calculate the remainder when 4845 is divided by y.
15
Let x(s) = 90*s**3 + s**2 - s + 1. Let w = 39 - 34. Suppose q - 2*f = 5*q, w*f + 7 = -3*q. What is the remainder when x(q) is divided by 31?
29
Let l(r) = -11*r**3 - 107*r**2 + 6*r + 28. What is the remainder when l(-10) is divided by 55?
48
Suppose 2*m = m + 69. Let u(o) = -35*o + 22*o + 8 + 19*o - o**3 - 7*o**2. Calculate the remainder when m is divided by u(-8).
21
Suppose -4*o + 6*o = -w + 26, 2*w = -2*o + 46. Suppose -7*x + 71 + w = 0. Let y(q) = 15*q - 65. What is the remainder when y(x) is divided by 34?
28
Suppose 2*w - 66 = 8. Let l(t) = -t**3 - 7*t**2 - 2*t + 5. Let c(x) = 3*x - 7. Let j be c(0). What is the remainder when w is divided by l(j)?
18
Let v = 4357 - 4332. What is the remainder when 86 is divided by v?
11
Suppose -5*g + 2*r + 0 = -2, 4 = -g - 4*r. Suppose -v + 4 = -2*u + 12, g = u - 2*v - 1. Calculate the remainder when 13 is divided by u.
3
Suppose 0 = -l + 5, 4*g = -4*l + 71 + 73. Calculate the remainder when 184 is divided by g.
29
Let k(h) = 3*h**2 - 33*h + 95. What is the remainder when 167 is divided by k(9)?
3
Suppose -3*l + t + 174 = 0, 82*l + 2*t - 232 = 78*l. Let s = 66 + -42. Suppose -2*h - s = -4*h. Calculate the remainder when l is divided by h.
10
Suppose -2*z + 4*z = -w - 62, -5*