s divided by y.
3
Suppose -q + 82 = 2*y, 2*y - 4*q - 33 - 29 = 0. What is the remainder when 69 is divided by y?
30
Suppose -19*h + 13*h + p = -37145, -24745 = -4*h - 3*p. Calculate the remainder when h is divided by 59.
54
Suppose 5*h - 273*z = -278*z + 1070, 4*h - 4*z = 832. What is the remainder when 6540 is divided by h?
210
Let r(y) = 4*y - 5. Let z = -13583 - -13588. What is the remainder when r(11) is divided by z?
4
Let d(n) = 411*n + 4151. Suppose 0*p = 2*i + 3*p + 7, -2*p - 26 = -4*i. Calculate the remainder when d(-10) is divided by -2*46*(-1)/i.
18
Let v(a) = 4*a - 3. Let x be v(2). Let n(j) = j**2 - 3*j + 2. Let m be n(x). Suppose 4*l = m*l - 144. Calculate the remainder when l is divided by 8.
2
Suppose -12*x - 80 = 88. What is the remainder when 107 is divided by -6 + (1 - x) + 2/1?
8
Let r = -32 - -60. Let p(z) be the second derivative of -5*z**3/2 - 57*z**2 + z - 99. Calculate the remainder when r is divided by p(-8).
4
Let k(h) = h**3 + 20*h**2 + 54*h + 502. Calculate the remainder when k(-12) is divided by 28.
26
Suppose 5*u - 17*u + 144 = 0. What is the remainder when 154 is divided by u?
10
Calculate the remainder when 3396 is divided by 1168/(-12)*387/(-516).
38
What is the remainder when 3204 is divided by (-6)/144*-56 - 118/(-6)?
14
Suppose 5256*a = 5249*a + 5670. Suppose -64*u + 278 + a = 0. Suppose -62 - 28 = -3*k. Calculate the remainder when k is divided by u.
13
Let m(y) be the second derivative of -y**4/12 + 3*y**3 + 4*y**2 - 35*y - 85. Suppose b = -0*b + 12. Calculate the remainder when m(b) is divided by 27.
26
Suppose 0 = -4392*l + 4307*l + 20740. Calculate the remainder when l is divided by 70.
34
Let c be 340/(-36) + ((-16)/9)/(-4). Let r(p) = -30. Let o(b) = -b. Let f(g) = -o(g) - r(g). What is the remainder when 79 is divided by f(c)?
16
Suppose -16 = 30*i - 28*i. What is the remainder when 153 is divided by 13/((-52)/i) + 29?
29
Calculate the remainder when 1383 is divided by (-4)/42*3 - (-17920)/980.
15
What is the remainder when (-7620)/(-16) + (-45)/36 is divided by 234?
7
Suppose 825 = u - s, -2*u - 9*s = -7*s - 1666. Suppose 0 = 836*q - u*q - 3465. What is the remainder when q is divided by 16?
15
Let b(a) be the second derivative of a**4/12 + 41*a**2/2 - 85*a. Suppose -2*h = -4*h - 2, 5*k - 5*h = 35. Calculate the remainder when b(k) is divided by 13.
12
Let n(u) = 21*u + 1. Let m(j) = 7*j. Let c(t) = 7*m(t) - 2*n(t). Let g(b) = b - 1. Let k(y) = c(y) - 6*g(y). What is the remainder when 68 is divided by k(15)?
11
Suppose 4*h - 391 = -5*p, 387 = 68*p - 63*p + 3*h. Calculate the remainder when 988 is divided by p.
13
Suppose -42*b + 80*b = 23598. What is the remainder when b is divided by 306?
9
Let r(g) = 5*g - 16. Let o be r(13). Let x(k) = 53*k**2 - k + 1. Let u be x(1). Let p = u + o. Calculate the remainder when p is divided by 26.
24
Let c = -36 + 18. Suppose 4*m + 0*y = -5*y + 36, 4*y = 4*m. Calculate the remainder when -7 + (-7 - -13) - c is divided by m.
1
Let w = -4886 - -6711. What is the remainder when w is divided by 30?
25
Let u be (2 - -1) + 0 - -9. Suppose 0 = -t + 111 + u. Suppose 4*k - 5*f - 103 = 0, 86*f - 116 = -3*k + 82*f. What is the remainder when t is divided by k?
27
Let v(q) = -29*q**3 - 215*q**2 + 132*q + 8. What is the remainder when 2 + 1 + 69 + -2 is divided by v(-8)?
30
Let l(x) = 3*x - 24 - 8*x + 28. Calculate the remainder when l(-2) is divided by ((-36)/((-4)/1))/1.
5
Suppose 0*z + 83 = h + 2*z, -368 = -4*h + z. Let d(u) = -2*u**3 + 2*u**2 - u + 5. Let i be d(-3). Let o = -57 + i. What is the remainder when h is divided by o?
22
Let w = -288 + 328. Let x be 58/(-3 + (-98)/(-34)). Let p = -295 - x. What is the remainder when p is divided by w?
38
Suppose 376 = 2*n + 2787*t - 2788*t, 10 = 5*t. Calculate the remainder when n is divided by 117.
72
Let t = -5357 - -6796. Calculate the remainder when t is divided by 23.
13
Suppose -1888*l + 1870*l + 21402 = 0. What is the remainder when l is divided by 369?
82
Let h(v) be the third derivative of 1/24*v**4 + 2/15*v**5 + 0*v + 8*v**2 + 0 + 1/120*v**6 - 2/3*v**3. What is the remainder when h(-6) is divided by 23?
16
Let a = -53 - -55. Suppose f - 6*f + 45 = -5*g, 2*f + 2*g = -a. Suppose 0*d = f*d - 36. Calculate the remainder when 34 is divided by d.
7
Let v(d) = -2*d - 13. Let b be v(-8). Let r = 8 + b. Let o = 8 + r. What is the remainder when 34 is divided by o?
15
Let o(c) = 84*c + 186. What is the remainder when 335 is divided by o(-2)?
11
Let g = 15 + -9. Suppose p = g*p - 200. Suppose -l + 2*h + 7 - 1 = 0, -3*l + 54 = 3*h. What is the remainder when p is divided by l?
12
Suppose 6*q - 2*q + 518 = 11*q. Let h(p) = -p**3 - 7*p**2 + 8*p. Let y be h(-8). Suppose s + 13 - 40 = y. Calculate the remainder when q is divided by s.
20
Let k = -175 - -407. Suppose -k - 406 = -11*u. Calculate the remainder when 173 is divided by u.
57
Let x(c) = 8*c**2 + 160*c - 1115. Calculate the remainder when x(7) is divided by 10.
7
Suppose 4*t + 2*x - 16 = 0, -t - 4*x = -0*t + 3. Suppose 2 = -4*g - 230. What is the remainder when 3/(-6) - g/4 is divided by t?
4
Let t(n) = 198 - 114 - 74 + 2*n. Suppose -3*s = -3*c - 0*c + 36, 2*c + 5*s - 52 = 0. What is the remainder when t(c) is divided by 23?
19
Let f(y) = 4*y**3 - 3*y**2 - 3*y + 10. Let g(m) = -8*m + 19. Calculate the remainder when f(3) is divided by g(-6).
15
Suppose -116*h + 29*h = -47154. Calculate the remainder when h is divided by 53.
12
Let b = -2861 + 2917. Calculate the remainder when 275 is divided by b.
51
Suppose -11*k = 29*k - 54440. Calculate the remainder when k is divided by 31.
28
Suppose -3*t + 80 = -2*t. Suppose -835*x + 22723 = -6502. What is the remainder when t is divided by x?
10
Suppose 5*z - 350 = -5*k, 16*k = -4*z + 14*k + 288. Calculate the remainder when z is divided by 2.
0
Suppose 0 = 667*j - 598*j - 105846. What is the remainder when j is divided by 11?
5
Let n = 7 + -1. Let y be ((-33)/(-6))/((-17)/(-170)). Suppose 24 = y*j - 49*j. What is the remainder when n is divided by j?
2
Let d(u) = -253*u + 1. Let o(l) = 1131*l**3 + 8*l**2 + l. Let x be o(1). Calculate the remainder when d(-1) is divided by (x/(-304))/((-3)/52).
59
What is the remainder when (-5552)/128*(3 + 3)*-4 + -3 is divided by 344?
6
Let l be 6/(-27) + 4/18. Suppose 13*d + 7*d - 380 = l. Let i(t) = t**2 + 6*t. Calculate the remainder when i(5) is divided by d.
17
Let d(l) = 10*l + 19. Let s = -21 - -14. Let h be d(s). Calculate the remainder when 0 + -2 - (3 + h) is divided by 16.
14
Let o = 24 + -21. Let q(x) = 15*x - 60. What is the remainder when -89*1*(o + -4) is divided by q(5)?
14
Suppose -2*s = -26 + 2. Suppose 13*a - 31 = s*a. Let g = 46 - a. Calculate the remainder when g is divided by 5.
0
Suppose -2*u = -182 + 24. Let d = u + -57. What is the remainder when 130 is divided by d?
20
Let c(j) = j**2 - 10*j + 10. Let s be c(10). Suppose 0 = -16*n + s*n + 78. Suppose n*g + 100 = 18*g. What is the remainder when 72 is divided by g?
12
Suppose -34*h - 81045 = -82201. What is the remainder when 1 + (2 - (-189 + -2)) is divided by h?
24
Let m(y) = 3*y. Let z(r) = 7*r + 1. Let w(s) = -5*m(s) + 2*z(s). Let g be w(-3). Suppose -143 = -g*v + 212. What is the remainder when v is divided by 19?
14
Let j = -144199 + 144208. What is the remainder when (-702)/(-8) + 3/12 is divided by j?
7
Suppose 188 - 42 = 5*s - 234. What is the remainder when 225 is divided by s?
73
Suppose 98 = 4*p - 126. Let a(u) = 12*u**2 - u - 1. Let t be a(-1). What is the remainder when p is divided by (-40)/t*(-2)/8*18?
11
Let i be (12/(-15))/((-4)/1390). Let t = -197 + i. What is the remainder when t is divided by 21?
18
Let f = -1251955 - -1252242. Let a = 61 - 29. What is the remainder when f is divided by a?
31
Let g = 3111 - 2739. Calculate the remainder when g is divided by 30.
12
Suppose -5*b = 4*c + 2, -2*b - 11 = 8*c - 3*c. Let k(m) = -4 - 4 + 15 + 3*m + 16*m**2 - 9. What is the remainder when k(b) is divided by 14?
12
Suppose 0 = -90*r + 94*r + 5*o - 387, -4*r + 393 = -o. What is the remainder when 978 is divided by r?
96
Suppose -5*o = 2*z - 121 - 120, o + 2*z = 45. What is the remainder when 235 is divided by o?
39
Let f = -4948 - -9251. Calculate the remainder when f is divided by 269.
268
Suppose -31*a - 21