 5*m + 6. Let p be l(1). Calculate the remainder when 69 is divided by 112/(-70) - p/10.
4
Let s(g) = -6*g + 3. Let k(j) be the first derivative of -j**2/2 + 18. Let a(c) = 4*k(c) - s(c). Calculate the remainder when a(6) is divided by 6.
3
Suppose 2*v + 3*j + 7 = 77, j + 126 = 4*v. What is the remainder when 403 is divided by v?
19
Let o = -261 + 512. What is the remainder when 514 is divided by o?
12
Let q(u) = -28*u**3 + u**2 - 4*u - 5. What is the remainder when 2435 is divided by q(-1)?
27
Suppose -6*j = -321 - 27. Suppose -4*o = -7*o + 123. What is the remainder when j is divided by o?
17
Let y(d) = 9*d + 81. Calculate the remainder when 321 is divided by y(-6).
24
Let f(m) = -105*m - 3. Let s be f(7). Let h = s - -467. Let l = -179 - h. Calculate the remainder when l is divided by 32.
28
Suppose d = -4*d + 330. Let o = d - 63. Suppose -g + m + 133 = -o*m, 4*m - 218 = -2*g. What is the remainder when g is divided by 30?
27
Let m(k) = 4*k**3 - 34*k + 96. What is the remainder when 2195 is divided by m(3)?
53
Let g(y) = -160 + 75 + 80 + 22*y**2. Calculate the remainder when g(2) is divided by 12.
11
Suppose -190*c - 101*c = 47*c - 5070. What is the remainder when 2544 is divided by c?
9
Suppose 7*w = j + 4*w - 18, 15 = j - 2*w. Let s(q) = -q**3 + 8*q**2 + 5*q - 83. What is the remainder when j is divided by s(7)?
0
Let w be 2/(-1*(-3)/(-42)). Let v = w - -31. Suppose -31 - 104 = -v*x. Calculate the remainder when x is divided by 12.
9
Suppose 57 = 4*d + l, -7*l + 3*l - 45 = -5*d. Let k = 90 + d. What is the remainder when k is divided by 38?
27
Suppose 0 = -2*h + 18, 4*h + 16 = 18*u - 14*u. Calculate the remainder when 532 is divided by u.
12
Suppose -3*y + 98 = 4*l, -8*l + 71 = -5*l + y. What is the remainder when 2020 is divided by l?
19
Let o(f) = -14*f**3 + f**2 + 14*f + 12. What is the remainder when 1986 is divided by o(-1)?
10
Suppose -284*x - 47095 = -171487. Let d(c) = 50*c - 1. What is the remainder when x is divided by d(1)?
46
Suppose 7*z - 12 = -19. Let l = -26 - -110. Calculate the remainder when l is divided by (z + (-6)/(-8))/((-4)/464).
26
Let m = 562 - -10. Suppose -3*n = 3*b - 210 - 357, 3*n - m = 2*b. Calculate the remainder when n is divided by 24.
22
Let s = -81 + 156. Let z(j) = -6*j**2 + 34*j + 291. What is the remainder when z(0) is divided by s?
66
Let a(l) = 291*l - 1404. What is the remainder when a(5) is divided by 4/24 - ((-175)/6)/5?
3
Suppose -s - 4 = -2*q - 24, -5*q + 2*s - 50 = 0. What is the remainder when (-820)/(-40) + q/(-4) is divided by 4?
3
Suppose -1 = 5*d - 2*x - 7, 3*d + 9 = -3*x. Let q(g) = g**2 - g + 20. Let w be q(d). Suppose -2*f = -f - w. What is the remainder when 56 is divided by f?
16
Suppose 2*d + 5*r = 201, 0*r = 4*r - 20. Let c = 29 + -33. What is the remainder when d is divided by ((-648)/(-90))/(c/(-10))?
16
Let l = 5495 - 3211. What is the remainder when l is divided by 21?
16
Let m be 4/(-26) - (6 + 160/(-26)). Let q(v) = -4*v**3 - v**2 + 25. Let o(x) = -x**3 - 3*x**2 + 2*x + 1. What is the remainder when q(m) is divided by o(-4)?
7
Let k = -26680 + 27098. Calculate the remainder when k is divided by 349.
69
Let t be 237/33 + 11 - 2/11. Suppose t*q + 46 = 2*p + 16*q, 101 = 4*p + 5*q. Calculate the remainder when p is divided by (-8)/(-2) - (-2 + 0).
0
Calculate the remainder when 11930 is divided by (364/49)/((-38)/(-399)).
74
Let y(g) = 137*g + 135. Let k be y(-3). Let c = -217 - k. Calculate the remainder when c is divided by 6.
5
Let k(i) = 8*i - 6 + 2 - 4*i. Let j be k(2). Suppose -2*w - g = -w - 79, -j*g = -w + 59. What is the remainder when w is divided by 26?
23
Suppose -16*q = -12*q - 4*k - 68, -3*q + 27 = k. What is the remainder when 1049 is divided by q?
4
Let z = -121 - -276. Calculate the remainder when z is divided by 73.
9
Suppose -2*d = 29*p - 28*p - 171, -4*d - p + 337 = 0. Suppose 649 = 4*j - d. What is the remainder when j is divided by 46?
45
Let z(s) be the second derivative of s**5/20 + 2*s**4/3 + 8*s**3/3 + 35*s**2/2 + 61*s. What is the remainder when 357 is divided by z(-5)?
27
Suppose -1053*y + 132 = -1031*y. What is the remainder when 2355 is divided by y?
3
Let v = -9 - -21. Suppose x - v = 3*o, -5*x + 4*o - o + 72 = 0. Let n(z) = 2*z**2 - 6*z + 5. What is the remainder when n(5) is divided by x?
10
Let a = -79251 + 79313. What is the remainder when a is divided by -1*2/(-6)*9?
2
Suppose 19*q - 4*h = 23*q - 696, h = -3*q + 504. What is the remainder when 1968 is divided by q?
153
Let y(n) = 21*n - 108. Let o be y(10). Suppose -o*u = -101*u - 10. What is the remainder when 45 is divided by u?
5
Let t(m) = 12*m**2 - 80*m + 17*m**2 - 135 - 29 + 159*m. Calculate the remainder when t(2) is divided by 8.
6
Let a = 122 + -60. Let s(t) = -t**3 - 6*t**2 - 2*t + 33. What is the remainder when a is divided by s(-4)?
8
Suppose -u - 5*d = -10*d - 367, -2*u = -d - 689. Let y = u - 329. Calculate the remainder when 15 is divided by y.
2
Let c(r) = 2*r**3 - 9*r**2 - r + 3. Let g(m) = 5*m**3 - 19*m**2 - 2*m + 5. Let t(k) = -7*c(k) + 3*g(k). Calculate the remainder when 21 is divided by t(-5).
7
Let m(s) = -68*s - 195. Suppose -2*t + 13 = -19. What is the remainder when t is divided by m(-3)?
7
What is the remainder when 753 is divided by (168/(-5))/((56/84)/(25/(-15)))?
81
Suppose 261 = 5*q - i, 136*i - 139*i = 4*q - 186. What is the remainder when q is divided by 15?
6
Let y = 99 + -59. Let o be (-8 + 6/3)*(-16)/24. Suppose o*d = 5*v - 55, 3*d + 57 = 4*v + 13. What is the remainder when y is divided by v?
7
Suppose 5*n + 442 = 1137. Let i = n - 104. Suppose -96 = -3*c + 2*l, 3*c - 5*l - 52 - i = 0. Calculate the remainder when c is divided by 6.
4
Let b(l) = 3*l**3 + 65*l**2 - 23*l - 11. What is the remainder when 889 is divided by b(-22)?
9
Let v(s) = -10*s - 58. Let d be v(-7). Suppose -d*p + 368 = 128. Calculate the remainder when 197 is divided by p.
17
Suppose 132*k - 146*k + 3429 = -12741. What is the remainder when k is divided by 512?
131
Suppose -13*l + 48 = -10*l. Let w(k) = -45*k - 10. Let t = -31 - -28. Calculate the remainder when w(t) is divided by l.
13
Let l(y) = y**2 + 21*y - 208. What is the remainder when l(-36) is divided by 64?
12
Let n(b) = 3 + 27*b - 38*b**2 + 37*b**2 - 3. Let t(i) = 5*i**2 + 5*i + 1. Calculate the remainder when n(12) is divided by t(-4).
58
Suppose 5*w - 3*m = 1000, w - 3*m - 91 = 97. Suppose -4*c = v - 28, 5*c - 8 = 3*c. Calculate the remainder when w is divided by v.
11
Suppose -5*x = 3*i - 264, x - i - 27 = 21. What is the remainder when x is divided by 13?
12
Let f be 12*((-4)/48)/(2/(-6)). Suppose -151 = f*b - 160. What is the remainder when 27 is divided by b?
0
Let j(c) = -c**3 - 4*c**2 - 12*c + 8. What is the remainder when j(-5) is divided by 40?
13
Suppose -4*a + 13 = -3. Suppose -2*k + 17 = z, 3*k - 80 = -a*z + 7*k. Suppose -z*u = -24*u + 150. What is the remainder when 119 is divided by u?
29
Suppose -5*m + 9*m - 5*t - 11 = 0, 0 = -4*t + 4. Suppose 38 = 2*s + 4*i, -2*s = -s - m*i + 11. What is the remainder when 169 is divided by s?
7
Let u = -2655 + 2842. Calculate the remainder when u is divided by 88.
11
Let w(r) = -129*r + 281. What is the remainder when 649 is divided by w(2)?
5
Suppose 220*d + 157*d + 152*d - 27508 = 0. Suppose -y - 55 = -6*y. Calculate the remainder when d is divided by y.
8
Suppose -29 = -i + l, 0 = -i - 3*i - 2*l + 146. Let d(g) = 225*g - 1563. Calculate the remainder when i is divided by d(7).
10
Suppose -3*q + 3*v + 265 = -113, 4*v - 496 = -4*q. Calculate the remainder when q is divided by (-5 - -10)/(2 - 333/189).
20
Let p = 1004 + -565. Let n = -379 + p. Calculate the remainder when n is divided by 15.
0
Let m(j) = -j**3 - 27*j**2 - 185*j + 36. What is the remainder when 2993 is divided by m(-13)?
68
Let t = 13364 + -11385. Calculate the remainder when t is divided by 30.
29
Suppose 5*t + 3 = n, t + 5 + 2 = -3*n. Let v be (95/(-20)*3)/(n/(-24)). Let u = -121 - v. What is the remainder when u is divided by 18?
14
Suppose 0 = -15*l + 11*l + 28. Let t = -141 + 85. What is the remainder when (t/(-70))/((-22)/(-20) + -1) is divided by l?
1
Suppose 454*z - 449*z = 20. Suppose 3*j + 2*u + 301 = 1380, 0 = -z*j - u + 1447. What is the remainder when j is divided by 13?
12
Suppose 754 = -b - b