z(n) = -9*n + 38. What is the remainder when z(m) is divided by 17?
15
Let h = -51 - -15. Let r be (-663)/(-5) + h/(-90). Let f = -87 + r. Calculate the remainder when f is divided by 17.
12
Let r = 232643 - 232525. Suppose 4 + 0 = h. Suppose h*y - 5*s = 78, -2*y + 2*s + 36 = s. Calculate the remainder when r is divided by y.
16
Suppose 0*d - 4*i - 346 = -5*d, -3*d + 190 = 2*i. Let o = -149 + 149. Calculate the remainder when d is divided by 3*(-5 - (-96)/9 - o).
15
Suppose -a + 2*q = -5*a + 580, -a + 5*q + 123 = 0. Calculate the remainder when a is divided by 65.
13
Let t(v) = v**2 - 4*v - 4. Let c(k) = k**3 + 19*k**2 + 23*k + 89. Let z be c(-18). Calculate the remainder when t(-4) is divided by (z - (-4)/(-4)) + 7.
3
Let f = -51 + 38. Let o = 45 + f. Calculate the remainder when o is divided by 8 - (-1 - (1 + 1)).
10
Let j(i) = -269*i**2 - 260*i**2 - 9*i + 22 + 528*i**2. Suppose -3*c - 17 = 4*n + n, n - 2 = 0. What is the remainder when 40 is divided by j(c)?
18
Let y = -192 + 206. Let d = 6 + -88. Calculate the remainder when 4 + (-3 - (4 + d)) is divided by y.
9
Let n(j) = -118*j**2 - 2*j + 47. Calculate the remainder when 113 is divided by n(0).
19
Suppose 896 + 2497 = 9*k. Let j = 431 - k. Calculate the remainder when 146 is divided by j.
38
Let m(d) = 20*d**3 - 2*d**2 + 6*d - 4. What is the remainder when -147*((-10)/45 + 1/(-9)) is divided by m(1)?
9
Suppose -5*q - 5*p + 4105 = -0*q, -q + 2*p + 836 = 0. Let z = -818 + q. What is the remainder when 541 is divided by z?
5
Let v(j) = j**3 + 9*j**2 + 5*j - 2. Let m(x) = x**2 - 8*x - 1. Suppose -t + 3*t - 18 = 0. What is the remainder when v(-8) is divided by m(t)?
6
Suppose 0 = -a - 0*a + 3*q + 32, -60 = -2*a + 5*q. Calculate the remainder when 279 is divided by a.
19
Suppose -120*j = -105*j - 4800. Calculate the remainder when j is divided by 4.
0
Let l be 146/8 + 1 - (-3)/(-12). Let k(t) = t**2 - 18*t. Let a be k(l). Suppose -s + 26 = 3*v + 7, a = s - 4*v. What is the remainder when s is divided by 5?
4
Calculate the remainder when 51 - (10/10 + 12) is divided by 29.
9
Suppose 21*y = 34*y - 17459. Suppose 3739 = 14*v - y. Calculate the remainder when v is divided by 91.
90
Suppose 35 = r - 30. Suppose 3 - 9 = -2*w. Suppose 0 = w*c - 8*c + 85. What is the remainder when r is divided by c?
14
Suppose 8*k = -11*k + 1653 + 1748. Calculate the remainder when 2140 is divided by k.
171
Let z(n) = 4 + 0 + 5*n + 8*n - 2. Let i(y) = 14*y + 1. Let l(h) = 5*i(h) - 6*z(h). Calculate the remainder when 50 is divided by l(-3).
16
Let b(f) = -40*f**3 - 5*f**2 + 1. Let k be b(-2). Let j = k + -208. Suppose 3*y - 3*x - 55 = 23, -2*x = 3*y - j. What is the remainder when 54 is divided by y?
25
Let k(d) = -6*d - 31. Let i be k(-6). Suppose i*p + 5*h - 4 = p, -5*p + 2*h = -38. Suppose -6*o + p = -96. What is the remainder when o is divided by 9?
8
Let i be ((-5)/4)/(1/(-4)). Suppose 3 = y + 1, i*l = -2*y + 309. Calculate the remainder when l is divided by 14.
5
Suppose 0 = 5*z + 4*p - 33, 0 = -3*z - 4*p + 13 + 10. Suppose 24*y - 4598 = z*y. What is the remainder when y is divided by 7?
4
Suppose 4*s - 2*s - 2322 = 0. Suppose 4*h - s = -141. What is the remainder when h is divided by 16?
15
Suppose 16*z + 975 = 3*z. Calculate the remainder when 70 is divided by (-3 + 13)*(-180)/z.
22
Calculate the remainder when (334880/(-49))/(-5) + (-4)/(-28) is divided by 37.
35
Let h = 167045 - 166966. What is the remainder when h is divided by (-2)/(-3)*15/2?
4
Let c(a) = 4*a - 2 - 2*a + 6*a**2 + 2*a - a. Let r = 40679 - 40510. What is the remainder when r is divided by c(-3)?
40
Suppose 0 = -2*q + 12*p + 136, 8 = -492*q + 494*q + 4*p. What is the remainder when 1083 is divided by q?
3
Suppose -112*x - 2203 = -116*x + d, 0 = -3*d + 15. Calculate the remainder when x is divided by 212.
128
Let u = -2336 - -3232. What is the remainder when u is divided by 32?
0
Suppose 0 = -3*v - 9, 2*j + 29 = 3*j + 4*v. Suppose -5 = i, 5*o = -5*i + 519 - 449. What is the remainder when j is divided by o?
3
Let p(c) be the third derivative of -113*c**4/6 + 29*c**3/6 - 317*c**2. What is the remainder when p(-2) is divided by 24?
21
Suppose 1144*s - 1210*s + 1518 = 0. Calculate the remainder when 381 is divided by s.
13
Suppose -5*n + 841 = 836, y + 5*n = 2499. Calculate the remainder when y is divided by 278.
270
Let k = 92123 + -92110. Suppose 0 = 5*o - 0 - 5. What is the remainder when (-2 - 1)*(o + -74) is divided by k?
11
Let s = 16 - 13. Suppose -4*z + s = -z. Suppose -4*w = m + 3 - z, 5*w = -2*m + 8. What is the remainder when m is divided by 5?
4
Let w = 10827 - 10812. Let a(x) = 1 + 8*x**2 - 5*x**2 + x**3 + 4*x**2 - x. What is the remainder when a(-6) is divided by w?
13
Calculate the remainder when 566 is divided by (4 - 5)*-59 - 12/3.
16
Let g(p) = -3*p**3 + 3*p**2 - p - 7. Let c = 69 + -42. What is the remainder when g(-3) is divided by c?
23
Let h(l) = -24*l - 61. Let d = -229 - -223. Calculate the remainder when h(d) is divided by 30.
23
Let b = 7998 + -6844. What is the remainder when b is divided by 282?
26
Let g(d) = 109*d**2 - 5*d - 8. Calculate the remainder when 175 is divided by g(-1).
69
Let q be (-2)/2 - 66/2. Let h = 36 + q. What is the remainder when 73 - (3 + -2)*h is divided by 24?
23
Let l(h) = -h**3 + 12*h**2 - 33*h + 6. Suppose 0 = -p + 8*p - 42. What is the remainder when l(p) is divided by 4?
0
Let p(z) = -13*z**3 - z**2 - 5*z - 5. Calculate the remainder when 2411 is divided by p(-2).
101
Let l = -29511 - -34845. What is the remainder when l is divided by 97?
96
Let z(f) = 3*f**2 - 4*f + 1. Let k be z(-3). Suppose -4*a - 6*a - k = 0. What is the remainder when 39 is divided by -15*a/(-6)*-1?
9
Let t(m) = 2*m**2 - 42*m - 11. Let i be t(-11). Suppose 0 = -8*l - 349 + i. What is the remainder when 148 is divided by l?
19
Let h(l) = -l + 41. Suppose 0 = -2370*c + 2697*c - 6213. Calculate the remainder when h(0) is divided by c.
3
Let h(u) = 24*u**2 + 274*u - 419. Suppose 3*m - 41 = 5*o, 2*o - 5 - 5 = -m. What is the remainder when h(-13) is divided by m?
3
Suppose -s + 415 = 4*s. Suppose -2*i - 1022 = 4*k, -5*k - 5*i = -9*i + 1297. Let o = k - -286. Calculate the remainder when s is divided by o.
25
Let a(k) = 2*k**3 + 19*k**2 - 18*k + 39. Calculate the remainder when a(-10) is divided by 31.
26
Let u(h) = -9*h - 56. Let g be u(-7). Suppose g*b - 24 = -5*b. Calculate the remainder when 11 is divided by b.
1
Let v be (4/4)/((-10)/(-40)). Let y(a) = -20*a + 107. Calculate the remainder when 212 is divided by y(v).
23
Let j(g) = 7*g**3 - 10*g**2 + 63*g - 253. Calculate the remainder when j(5) is divided by 53.
51
Let b = 61 + -23. Calculate the remainder when -2 + -1 - (4 - 1497/3) is divided by b.
36
Suppose -3*n = 3*w - 9, 4*n - 4*w = -0*w - 12. Suppose -l = 2*u - 17, -4*u = 4 - n. What is the remainder when 51 is divided by l?
13
Suppose -12*m = -751 + 283. Calculate the remainder when 8538 is divided by m.
36
Let n = 6 - -1. Let b be (-2)/3*(-18)/(-6) + n. Suppose -3 - 12 = -5*k, b*p - 457 = k. What is the remainder when p is divided by 12?
8
Suppose 549*c + 56 = 557*c. Calculate the remainder when 267 is divided by (-1 - -1) + 60 + c.
66
Suppose m = -5*v - 5 - 2, 5*m + 2*v - 11 = 0. Suppose -m*p - 4 = -3*b + p, -5*p = 5*b - 30. What is the remainder when ((-2)/5)/(2/(-60)) is divided by b?
0
Let r(z) = z + 4. Let a be 86*8/(-16) + 1*-2. What is the remainder when (-32)/12*a/12 is divided by r(0)?
2
Suppose -12*w - 1095 = -3411. Calculate the remainder when 613 is divided by w.
34
Let f be ((-144)/120)/((-1)/270). What is the remainder when 153 is divided by f/16 - 3/12?
13
Let p = 140 - 86. Suppose -p = -4*f + 218. Suppose 0 = -2*b - 2*b + f. Calculate the remainder when 30 is divided by b.
13
Let d be ((-24)/16)/((-1)/(-8)). Let n be d/(-7) - 4/(-14). Suppose -142 = -4*q + n*q. Calculate the remainder when q is divided by 9.
8
Let w = -5021 - -5084. Calculate the remainder when 556 is divided by w.
52
Let h = -5731 - -6147. Calculate the remainder when h is divided by 96.
32
Suppose -n = 2*n + 5*l + 43, n - 19 = 5*l. Calculate the remainder when (208/(2 + n))/(2 - 4) is divided by 15.
11
Calculate the remainder when 2159 is divided by 4 - (-1)/((-7)/14 + 1) - -41.
44
Let b be (-5)/(15/(-9)) + 29. Suppose 