at is the remainder when h is divided by 13?
10
Suppose 3*m - 4*u - 1248 = 0, -u + 2115 = 5*m + 4*u. Suppose 25*n - 10*n = m. Let g(y) = 17*y**2. What is the remainder when n is divided by g(1)?
11
Let v(b) = -2*b**3 + 29*b**2 + 276*b + 76. Calculate the remainder when 1533 is divided by v(21).
4
Let r = -87 - -188. Let a(j) = -6*j**2 - 276*j - 1224. What is the remainder when r is divided by a(-5)?
5
Let k(a) be the first derivative of a**4/2 - a**3 - 11*a**2/2 - 4*a - 52. Calculate the remainder when 62 is divided by k(4).
30
Suppose 563*v - 518*v - 174285 = 0. What is the remainder when v is divided by 7?
2
Let k(w) be the second derivative of w**4/12 + 5*w**3/2 - 9*w**2/2 + w + 65. What is the remainder when k(14) is divided by 40?
37
Let b(l) = -31*l - 33*l - 158 - 30*l + 99*l. What is the remainder when 30 is divided by b(35)?
13
Let d be ((-2)/(-2) + 3)*(-23)/2. Let z = 50 + d. Suppose 71 = z*i - 1. What is the remainder when 88 is divided by i?
16
Suppose -2*f + 150 = -2*b, -b + 280 - 87 = 3*f. What is the remainder when 2343 is divided by f?
65
Let d = 41 + -44. Let t(q) = -2*q**3 - 4*q**2 - 3*q + 2. Let c be t(d). Let b = c + -19. Calculate the remainder when 67 is divided by b.
7
Let u = -18623 - -18644. Let y = -93 + 162. What is the remainder when y is divided by u?
6
Let f = -184 + 224. What is the remainder when 70 is divided by (48/40)/((-78)/f - -2)?
22
Suppose -140 = 22*d - 8*d. Calculate the remainder when 79 is divided by ((-16)/d)/(34/(-5) + 7).
7
Let d(n) = -58*n - 96. Let z be d(2). Let j = 217 + z. What is the remainder when 3/(-3) - -2 - -21 is divided by j?
2
Let a = -7205 - -19103. Calculate the remainder when a is divided by 17.
15
Let a(b) = b**2 - 24*b + 132. Let j be a(14). Let v(l) = l**3 + 10*l**2 + 9*l - 34. Calculate the remainder when v(j) is divided by 12.
10
Let s(d) = -497*d**3 - d**2 + 0*d**2 + 524*d**3. Let f be s(-1). Let q = f - -34. Calculate the remainder when 21 is divided by q.
3
Suppose -n - u = 0, 3*n = n + u + 15. Calculate the remainder when -1 + 198/(143/13) is divided by n.
2
Calculate the remainder when 1582 is divided by (-7 - (8 + -13))*(-48)/6.
14
Let d(a) = 6*a**2 - 4 + 2 + 3 - 4*a - a**3 - 5. Let t(j) = -j**2 - 22*j - 69. Let n be t(-4). What is the remainder when 41 is divided by d(n)?
8
Let i(h) = 3*h**2 + 60*h + 55. Let o be i(-15). Let d = o + 181. What is the remainder when 262 is divided by d?
9
Let b = -55 + 60. Suppose -b*h + 0*h + 4*z - 87 = 0, -3*h - 53 = -2*z. Let i = h - -31. What is the remainder when 55 is divided by i?
7
Suppose -65688 = -160*t + 16*t + 8*t. Calculate the remainder when t is divided by 3.
0
Let m = -2784 - -2818. Calculate the remainder when 152 is divided by m.
16
Let i(f) = 3*f**2 + 20*f - 14. Let u be i(-17). Suppose 4*r - 7*r - u = 0. Let o = -125 - r. Calculate the remainder when o is divided by 10.
6
Suppose -3*z + 0*z = 4*h + 16, 4*h + 20 = -4*z. Let u be (14/7)/(h/(-4)). Suppose -2*b = -u*b + 192. What is the remainder when 59 is divided by b?
27
Suppose 0*o - 7*o - 14 = 0. Let n be o + 14 - 4/4. Suppose -14*z + 207 = -n*z. Calculate the remainder when z is divided by 36.
33
Let u = 7470 - 6885. What is the remainder when u is divided by 85?
75
Suppose 5*c + 7 = -m, -5*c - 24 - 31 = -5*m. Suppose 0 = -2*t + 3*p + 8, 2 - 6 = -t - 2*p. What is the remainder when m is divided by t?
0
Suppose -5*c + h = -298, 3*c + 3*h - 168 = -0*c. Suppose -17*o + 16*o = -2*y + 125, -y = -4*o - c. Calculate the remainder when y is divided by 20.
3
Let v = 12 - 10. Let s(z) = 18*z**v + z**3 + 3*z + 6 - 27*z + 10 + 7. What is the remainder when s(-19) is divided by 40?
38
Suppose 12*v + 0*v - 3547 = 161. What is the remainder when v is divided by 85?
54
Suppose -z + 2 = -26. Let c be ((-12)/7)/((9/(-42))/3). Suppose -c*q - 476 = -z*q. Calculate the remainder when q is divided by 30.
29
Let j(n) = 5*n**2 + 5*n - 1. Let a(x) = 4*x**2 + 6*x - 2. Let c(m) = -4*a(m) + 3*j(m). Let t = -166 + 172. What is the remainder when c(-8) is divided by t?
1
Let c be 5/(6 - (-815)/(-135)). Let f = c + 146. What is the remainder when 18 is divided by f?
7
Suppose 252 + 108 = 5*b. Let s = 50 - 13. What is the remainder when (b/14)/(5/105) is divided by s?
34
Let u(a) = 70*a - 7124. Calculate the remainder when u(108) is divided by 207.
22
Let i(a) = -16 - 13 + 26 - 10 + 2*a**3 + 24*a**2. What is the remainder when i(-11) is divided by 59?
52
Let j(n) = -n**3 + 36*n**2 + 38*n + 17. Suppose 4*r - 8 = 0, -4*g - 2*r + 231 = 79. Calculate the remainder when j(g) is divided by 30.
24
Suppose 396 = -3*y + 57. Let i = -70 - y. Suppose 2*f + 2*f - 331 = u, 356 = 4*f + 4*u. What is the remainder when f is divided by i?
41
Suppose 1500 - 396 = 24*f. Let g(w) = -2*w**3 - 3*w**2 + 8*w - 1. Calculate the remainder when g(-6) is divided by f.
45
Let v(m) = m**2 + 27*m + 133. What is the remainder when v(-48) is divided by 11?
8
Suppose v - 18 = -16*d + 18*d, 9*v + d = 143. What is the remainder when 318 is divided by v?
14
Let s(h) = h**2 - 23*h + 133. Calculate the remainder when 16 is divided by s(10).
1
Let z = 3044 + 7163. What is the remainder when z is divided by 123?
121
Suppose 7*h + 20 = 12*h - 5*t, 0 = -5*t - 5. Let s = 10 - 2. What is the remainder when s is divided by h?
2
Suppose 2094 = 2*s - 3*z, 4*s - 4184 = 4*z - 0*z. Suppose 31*y = -5*y + s. What is the remainder when y is divided by 15?
14
Suppose 6*x + 3*m = -157 + 856, -4*m = -3*x + 366. Calculate the remainder when 244 is divided by x.
8
Let s = 898 + -791. What is the remainder when 231 is divided by s?
17
Let y(r) be the third derivative of -13/6*r**3 + 0 - 1/3*r**4 + 0*r + 1/6*r**5 + 11*r**2. Calculate the remainder when y(-3) is divided by 26.
23
Let l = 1026 + -1011. Calculate the remainder when 805/15 + 2/6 is divided by l.
9
Suppose 14*g - 13792 - 1188 = 0. Suppose 5*q - 4*y = 1070, 13*q - 18*q - 2*y = -g. What is the remainder when q is divided by 8?
6
Let f(a) = -6*a**3 + 3*a + 1047*a**2 - 1049*a**2 + 3*a**3. What is the remainder when f(-3) is divided by 29?
25
Suppose -23*a + 30178 = -31535 - 19293. What is the remainder when a is divided by 1759?
4
Suppose -6 = 997*u - 994*u, -5*u - 2578 = -3*w. What is the remainder when w is divided by 319?
218
Let j be -22 - -16 - (-12)/(-2). What is the remainder when (-9)/j*(99 + 1 - 0) is divided by 26?
23
Let v be (26/(-4))/((-3)/(-1 + -35)). Let l = v - -100. Let f = -122 + 209. What is the remainder when f is divided by l?
21
Suppose -7*p - 16 = -4*k - 3*p, -5*k - p = -50. Suppose -t + s + k = -61, 4*t = s + 295. What is the remainder when t is divided by 40?
35
What is the remainder when (-13 + 378/28)*564 is divided by 9?
3
Let p(c) = 2*c**2 + 145*c - 1244. What is the remainder when p(-82) is divided by 45?
44
Suppose -1944 = -3*x + 3*s, -2321*x + 2322*x + 5*s = 648. Calculate the remainder when x is divided by 27.
0
Let x(n) be the first derivative of 3*n**2 + 38*n - 21. Suppose 3*k - 94 = 38. What is the remainder when x(8) is divided by k?
42
Calculate the remainder when 467 is divided by (1 - -11)/(-19 - (-9 - 11)).
11
Let k(u) = 3*u**3 + 2*u**2 - 3*u - 1. Suppose -2*a = 2*z - 12, -5*z = 2*a - 9*z + 12. Calculate the remainder when 43 is divided by k(a).
18
Suppose 0 = 20*p - 1789 + 989. Calculate the remainder when 146 is divided by p.
26
Let q(l) = 5*l**2 + 12*l - 23. Let a be q(-10). Suppose 18*j - a + 123 = 0. Suppose -7*b + 988 = 6*b. What is the remainder when b is divided by j?
11
Let u(c) = c**2 + 3*c + 531. Let v be u(0). Suppose 8*d = v - 43. Calculate the remainder when 304 is divided by d.
60
Let d(y) = y**3 - 16*y**2 + 33. Calculate the remainder when 163 is divided by d(16).
31
What is the remainder when (-2 - (14 + -15))*(-2 - -6)*-446 is divided by 77?
13
Suppose 6 + 5 = p. Calculate the remainder when 330/11*112/24 is divided by p.
8
Suppose 2*h - 2 = 0, -2*a + 0*a - 3*h = -113. What is the remainder when a is divided by 30?
25
Let u be -3*16/(-27) + 24/108. Let t = 9 - 1. Calculate the remainder when (-3)/u - (-636)/t is divided by 27.
24
Calculate the remainder when (-14)/(1344/18)*(-316)/3*372 is divided by 294.
291
Let x(a) = -a**3 - 2*a**2 + 6*a + 5. Suppose -54*m - 32 = -46*m. What is the remainder when x(m) is divided by 8?
5
Suppose -2*w + 