ulate the remainder when j is divided by g.
20
Let g = -115 - -120. Let d(p) = 3*p**2 + 8*p - 68. Suppose 0 = -3*u + 3*b + 282, -5*u - 3*b + 664 = 210. What is the remainder when u is divided by d(g)?
45
Let y(x) = -x - 20. Let m be y(-12). Let d(q) = -2*q + 1 + q + 3*q + 17. Calculate the remainder when d(m) is divided by 2.
0
Suppose 16 = 8*f - 16. Suppose 0*u = -3*b - u + 87, f*b - u = 123. Calculate the remainder when 124 is divided by b.
4
Let y be 3 + 6/(-2) + 5. Suppose -9 = h - y. Calculate the remainder when (h/(-5))/(8/380) is divided by 13.
12
Suppose -4*c = 4*k - 5588, 0 = 2*k - 34*c + 33*c - 2812. Calculate the remainder when k is divided by 32.
27
Let n(t) = -3 - t**2 - 2*t**2 - 14*t**3 + 1 - 3*t + 15*t**3. Let r be n(4). What is the remainder when 60 is divided by (1 - 7/r)*(-168)/20?
18
Suppose -b - 193 - 65 = w, 1 = -w. Let v = -243 - b. What is the remainder when 119 is divided by v?
7
What is the remainder when (-168894)/(-550) + (-4)/50 is divided by 36?
19
Suppose -2*u - 3*w + 10 = -0, 3*u + 5*w = 16. Let v be (-10240)/(-140) - u/14. Let n = -37 + v. What is the remainder when n is divided by 14?
8
Let g be 120/(-45) - (-2)/3. Let k = -144 - -275. What is the remainder when k is divided by (4 - 9*g) + -3?
17
Let v(u) = -23*u**3 - 2*u**2 + 2*u - 1. Let j be v(1). Let o = 53 - j. Let a(h) = -31*h + 1501. What is the remainder when o is divided by a(48)?
12
Let o(u) = -u**3 + 13*u**2 + u - 25. Let v(w) = -w + 17. Let i = 19 + -13. Let k be v(i). Calculate the remainder when o(k) is divided by 46.
44
Let l = 5556 - 5340. Calculate the remainder when 438 is divided by l.
6
Suppose 8*z - 80 - 8 = 0. Suppose 8*f - z*f = -120. Calculate the remainder when 238 is divided by f.
38
Suppose -811 = -81*p + 79*p - q, -4*p = 3*q - 1623. Calculate the remainder when 1216 is divided by p.
1
Suppose 2*b + 16 = 10*b. Suppose 23 = u + 4*d, 19 = u - b*d - 4. Let w = -44 + 58. Calculate the remainder when u is divided by w.
9
Let i(o) = o + 49. Suppose -2*z + 5*m = 54 - 230, 3*z - 264 = -5*m. Calculate the remainder when z is divided by i(-26).
19
Let s = 143 - 145. Let g(f) = -f**2 + 10*f + 1. Let u(p) = p**2 - 11*p - 1. Let i(v) = 2*g(v) + 3*u(v). Calculate the remainder when 55 is divided by i(s).
26
Let y(v) = 5*v**2 + 75*v + 9. Let h = -33 - -57. What is the remainder when h is divided by y(-15)?
6
Suppose 142*z - 107*z = 28420. Calculate the remainder when z is divided by 5.
2
Let h(u) = -2*u**3 + 51*u**2 - 21*u + 16. Calculate the remainder when 197 is divided by h(25).
81
Let s be (290/(-20))/(-1*1/54). Let t = -738 + s. What is the remainder when t is divided by 8?
5
Let o(j) = -j**2 + 15*j + 20. Let p be o(16). Suppose -3*f + 7*f - p*c = 72, 0 = -4*c. Suppose 57 - f = 3*z. What is the remainder when z is divided by 3?
1
Let d(n) = -n**3 - 9*n**2 - 8*n + 3. Let k be d(-8). Suppose -1 - 32 = -k*w. Let c(j) = -31*j + 807. What is the remainder when c(25) is divided by w?
10
Suppose -3*r - r = 3*h - 133, 5*r - 3*h - 146 = 0. Let l = 43 - r. Calculate the remainder when 16/l*2/(-4)*-156 is divided by 15.
14
Let t(r) = 33*r + 4270. What is the remainder when 384 is divided by t(-127)?
68
Suppose -4*m + r = -50, 4*r + 0*r + 46 = 2*m. Suppose -a = -0*a - 141. What is the remainder when a is divided by m?
9
Let k(d) = 21*d**2 + 28*d - 64. Calculate the remainder when 453 is divided by k(2).
73
Let k(j) = 16*j**2 + 11*j + 74*j**3 - 139*j**3 + 33 + 67*j**3. What is the remainder when 2 + 153 + (-1 - -3) is divided by k(-7)?
49
Let z(f) = -1149*f**3 - 21*f**2 - 13*f + 10. Calculate the remainder when z(-1) is divided by 10.
1
Let p = 67 + -46. Let j(l) = 2*l + 175. Let m be j(31). Suppose -m = -241*u + 238*u. Calculate the remainder when u is divided by p.
16
Suppose 0 = -5*b + 2*l + 1156, 2*l + 926 = 21*b - 17*b. What is the remainder when b is divided by 14?
6
What is the remainder when 648 is divided by (-9 + (-18475)/(-75))*3/4?
114
Let k(g) = 2*g**2 - 15*g + 13. Let u be k(7). What is the remainder when 171 is divided by (u/8)/((-7)/(-140))?
6
Suppose 4*f - 31 = 21. Suppose f*y - 36 = 7*y. What is the remainder when 51 is divided by y?
3
Let h(z) = -2*z + 96. Let p be h(38). Suppose 0 = x - 4*g - p, 5*x + 22 = g + 84. Calculate the remainder when 165 is divided by x.
9
What is the remainder when (-258004)/(-53) - (8 + 0 + (-81)/27) is divided by 1618?
9
Suppose -256 - 745 = -10*z - 1. What is the remainder when 339 is divided by z?
39
Calculate the remainder when 45147 is divided by 23/(6279/8164) + (-14)/(-147).
27
Let d be 20/12*(72/20)/2. Let l(v) = v**3 + v**2 - 4*v + 6. What is the remainder when 74 is divided by l(d)?
14
Suppose -h + 4*m = -213, -5*h + 4*h - 3*m + 178 = 0. What is the remainder when 690 is divided by h?
111
Suppose 46*v + 459 = 63*v. Suppose -5*d - 2*n + 594 = -122, 4*d = -5*n + 566. What is the remainder when d is divided by v?
9
Let w be 1/2 - 553/14. Let g = w + 101. Let d = -172 + 179. Calculate the remainder when g is divided by d.
6
Suppose 0 = -46*u + 149 + 403. What is the remainder when 883 is divided by u?
7
Suppose 0 = 27*a - 25*a - i - 625, 2*a - 5*i = 653. Calculate the remainder when a is divided by 101.
6
Let k = -12570 + 13026. What is the remainder when k is divided by 131?
63
Let y(f) = -114*f + 55*f - 2 + 57*f. Let o be y(-8). Suppose -24 = -5*m - 3*n, 2*n - o + 2 = -2*m. Calculate the remainder when 10 is divided by m.
1
Let n(c) = -77*c + 34 - 102 + 36*c + 54*c. Calculate the remainder when 16 is divided by n(6).
6
Let h = -53 - -78. Let i be (-10)/(-55) + (-2534)/22. What is the remainder when 1 - (-2 - (4 - i)) is divided by h?
22
Suppose -4*d = i + 504, -903 - 599 = 3*i + 2*d. Let f = i + 509. What is the remainder when 106 is divided by f?
7
Let x = 21163 - 9147. What is the remainder when x is divided by 7?
4
Suppose -24*h - 9*h + 17948 = -67984. What is the remainder when 5214 is divided by h?
6
Suppose -w + 99*u - 101*u + 24 = 0, 3*u + 94 = 5*w. What is the remainder when 54 is divided by w?
14
Let l = -73 + 16. Let s = l - -59. Suppose 3*v = -s*u + 37, 6*u - 3*v = 2*u + 101. Calculate the remainder when 68 is divided by u.
22
Let w = -23536 + 24300. What is the remainder when w is divided by 51?
50
Suppose 31*s = 30*s + 28. Suppose 4*i - 4 = s. What is the remainder when 47 is divided by i?
7
Suppose 1086 = 2*d - 3*s, -2*s - 2*s - 1088 = -2*d. Suppose 21*a + d = 30*a. Calculate the remainder when a is divided by 18.
6
Let o = 663 + -609. Let z(d) = -d**3 + 20*d**2 + 49*d + 47. What is the remainder when z(22) is divided by o?
49
Suppose 0 = -3*q, 0*i + i - 7*i = -2*q - 798. Calculate the remainder when 596 is divided by i.
64
Let p be ((108/3)/6 + -5)*-51. What is the remainder when 320 is divided by 263 + -259 - (1 + p*1)?
50
Let h be 52 - -1*(1 + 0). Suppose 3*u = 1 + h. Let w = -229 + 233. What is the remainder when u is divided by w?
2
Suppose 2524 = 6*f - 1244. What is the remainder when f is divided by 618?
10
Suppose 143 + 28 = 9*h. Suppose -523 - 686 = -93*s. What is the remainder when h is divided by s?
6
Suppose 14*j - 3776 + 2884 = 7648. What is the remainder when j is divided by 183?
61
Let w be 1*-57 - (-2 + 3)/(-1). Let q = w - -55. Let u(z) = -11*z**3 + z**2 + 3*z + 2. What is the remainder when 30 is divided by u(q)?
8
Suppose -11*g + 68 + 515 = 0. Calculate the remainder when 241 is divided by g.
29
Let y(m) = -m + 69. Let n(l) = -l + 46. Let q(j) = 8*n(j) - 5*y(j). Let f be q(-11). Suppose -8*a + 48 = -f. Calculate the remainder when a is divided by 7.
6
Suppose 6*z + 17*z - 6*z = 986. What is the remainder when z is divided by 16?
10
Suppose 4*c + 296 - 62 = 5*t, -4*c - 4 = 0. Let q(j) = j**3 - 18*j**2 + 17*j - 32. Calculate the remainder when q(18) is divided by t.
44
Suppose 3*m - 4*g - 251 = 0, -461 = -4*m - m - 4*g. Let q(f) = 0*f**3 - 6 + 17*f**2 + m*f - f**3 - 85*f. Calculate the remainder when q(17) is divided by 32.
30
Let j = -30 + 94. Suppose -126 = -5*f - m, -5*f - 840 = 4*m - 939. What is the remainder when j is divided by f?
10
Suppose 74*y + 30 = 80*y. Suppose 3*i - 2*s - 21 = 0, -y*s - 15 = -0*s. Calculate the remainder when 89 is divided by i.
4
Let n be (-34 - -43) + (-1 - 5). Suppose 0 = -n*u + 370 + 14. What is the remainder when u is divided by 10