der when n is divided by t.
6
Let d(q) = -3489*q + 10143. What is the remainder when d(-4) is divided by 206?
203
Suppose f + 766 = -3*t - 353, -4*f + 746 = -2*t. Let i = -94 - t. Calculate the remainder when i is divided by 40.
39
Suppose 10 = -3*h + b + 38, 4*b + 35 = 5*h. Let j = -41 - -41. Suppose -156 = -j*y - 3*y. Calculate the remainder when y is divided by h.
8
Let s = 1605 - 1591. What is the remainder when 383 is divided by s?
5
Let g = -919 - -953. Calculate the remainder when 1393 is divided by g.
33
Suppose -4*t - 2517 + 2565 = 0. What is the remainder when 5555 is divided by t?
11
Let g = 32 - -21. Let h = g - -24. Let n(a) = a**2 + 4*a + 8. What is the remainder when h is divided by n(-6)?
17
Suppose -117 = -34*r + 5289. What is the remainder when (0 - -2) + r + 33 is divided by 50?
44
Suppose 30*p + 5 = 31*p. Suppose -t + 4*x = -24, p*x + 192 = 4*t + 41. Let w(q) = q**3 + 3*q**2 - 4*q + 5. What is the remainder when t is divided by w(-4)?
4
Let b = 82 + -57. Suppose 2*s + b = 31. Suppose -u + 36 = -w - s, -5*u = 5*w - 245. What is the remainder when 86 is divided by u?
42
Let f(a) = -a**3 - 11*a**2 - 2*a - 2. Let k = -1244 - -1253. What is the remainder when f(-11) is divided by k?
2
Let p(a) = -50*a - 358. Let l(u) = -25*u - 180. Let j(r) = 13*l(r) - 6*p(r). Calculate the remainder when 197 is divided by j(-9).
32
Suppose -2*i - 4 = -i, 5*g + 3*i = -12. Suppose -3*z + 6*z - 3*p - 102 = 0, g = 3*p - 3. Calculate the remainder when z is divided by 8.
3
Suppose 0 = 3*h - 17*q + 20*q + 981, 0 = 4*h - 3*q + 1329. Let b = h + 589. Calculate the remainder when b is divided by 22.
17
Let t(v) = -v**3 + 32*v**2 - 29*v - 17. Suppose 62 = 2*w - 2*f - 8, 171 = 5*w - 4*f. What is the remainder when 178 is divided by t(w)?
43
Let f = 14449 - 14006. What is the remainder when f is divided by 255?
188
Suppose 4*f - 4*u = 68, 4*u + u = -4*f + 50. Suppose -165*d = 42*d + 47*d - 25908. Calculate the remainder when d is divided by f.
12
Suppose -28*n = -24*n - 756. Suppose 7*h - n + 14 = 0. Calculate the remainder when 424 is divided by h.
24
What is the remainder when 81 is divided by (-9 - (-6 - 8/8))*-27?
27
Suppose -434 = 5*f + 2*n, -2*f - 175 = 113*n - 112*n. Let o(p) = -p + 101. Let h be o(0). Let v = h + f. Calculate the remainder when 64 is divided by v.
13
Let v(u) = -2*u**2 + 49*u - 105. Let f be v(22). Let m(c) = -23*c + 129. Let s = -16 - -41. What is the remainder when s is divided by m(f)?
11
Suppose 5020*h + 5023*h + 47 + 409 = 10049*h. Let k = 1 + -1. Suppose k = 4*x - 35 - 29. Calculate the remainder when h is divided by x.
12
Let k(o) = 3*o - 1. Let w(c) = 2*c**3 - 8*c**2 - 5*c - 1. Suppose 6*m - 11*m = -25. What is the remainder when w(m) is divided by k(2)?
4
Suppose -2*w + 28 + 20 = 0. Suppose -w*o + 111 + 81 = 0. What is the remainder when 191 is divided by o?
7
Let o = -44 + 47. Suppose o*j + 24 = 4*l + 3, -2*l - 3 = 3*j. What is the remainder when 4 + (-12)/l + 154 is divided by 31?
30
Let o = -903 + 927. Calculate the remainder when 359 is divided by o.
23
Let f = -58 - -79. Let g = 20 + 67. Suppose -11*v = -g + f. Calculate the remainder when 17 is divided by v.
5
Let t = -6306 + 6419. Calculate the remainder when t is divided by 36.
5
Suppose -k + 45 = 3*a, -4*k + 2*k + 40 = -4*a. Suppose -33*t + 16*t = 13243. Let q = -694 - t. What is the remainder when q is divided by k?
25
Let l be (-7)/28 - (-331)/(-4). Let x = 79 - l. What is the remainder when x is divided by 55?
52
What is the remainder when -400*12/(-72)*6 is divided by 30?
10
Let y = -45271 + 45661. What is the remainder when 944 is divided by y?
164
Let l = -3775 + 4751. Calculate the remainder when l is divided by 11.
8
Let x be (-900 - 0)*8/64*-4. Let j = x - 288. What is the remainder when j is divided by 57?
48
Suppose -4574 = -24*v + 29026. Calculate the remainder when v is divided by 239.
205
Let m(l) = l**3 - 9*l**2 - 334*l + 13. What is the remainder when m(-14) is divided by 32?
21
Suppose 3*z - 12 = 2*o, -11 = -5*z + o + 9. Suppose z*k = 16 - 4, 5*k = -m + 48. Let h = 70 - m. Calculate the remainder when h is divided by 20.
17
Suppose 30*b - 31*b - 362 = 0. Let y = 441 + b. Let j = 29 + -9. Calculate the remainder when y is divided by j.
19
Let f be (-72 - (-8 - -3))*-6. Let v = f - 265. What is the remainder when v is divided by 6?
5
Suppose -3*d - k + 292 = 0, 5*d + 27*k = 32*k + 540. What is the remainder when d is divided by 78?
22
Let l = -34048 - -34064. Calculate the remainder when 3755 is divided by l.
11
Let l be (-4 + (0 - -2))*(-2415)/30. Let q = l - 114. Calculate the remainder when 280 is divided by q.
45
Suppose -118 = -c - l - 108, -4*l - 136 = -4*c. Suppose 3*k = -0*k + 39. What is the remainder when c is divided by k?
9
Let t(v) = -v**3 - 5*v**2 - 11*v - 107. Calculate the remainder when t(-15) is divided by 286.
20
Let g(p) = -6*p**3 - 20*p**2 + 3*p - 7. Suppose 2*l - 2*m = -18, -2 - 26 = 4*l - 2*m. What is the remainder when g(l) is divided by 58?
54
Let j = -9650 + 9816. What is the remainder when 14605 is divided by j?
163
Let y(x) = 98 + 7*x + 99 + 94 + 2*x**3 - 5*x**2 - x**3 - 288. What is the remainder when y(7) is divided by 13?
7
Suppose 4*o + 2*j - 336 = 0, -4*j - 31 - 62 = -o. Suppose 0 = -l + 3*r + 12 + 12, 3*l = -3*r + 72. Calculate the remainder when o is divided by l.
13
Suppose 3*c + 15 - 3 = -q, -5*c - 23 = 2*q. What is the remainder when 449 is divided by q/6 - 10*(-85)/20?
39
Let v(d) = -d**2 + 75*d - 644. Calculate the remainder when 10 is divided by v(10).
4
Suppose 7*a + 125 = 2*a - 5*b, -2*b + 34 = -2*a. Calculate the remainder when 126 is divided by (-1)/(a/28)*33.
38
Suppose 5*q + 5*w = 375, 2*q - 228 = -q - 2*w. What is the remainder when q is divided by -10 + (-168)/(-4) + -3?
20
Let n(r) = 12*r + 449. What is the remainder when 15 is divided by n(-37)?
0
Let x be ((-258)/10)/((-2)/10). Let a = x - 69. Suppose -3*z + 0*z = -a. What is the remainder when 158 is divided by z?
18
Suppose -2*k = 3*f + 152 - 732, -3*f - 317 = -k. Calculate the remainder when 819 is divided by k.
221
Suppose -3*f - 2*v = -12, 3*v + 1 = -0*f + 5*f. Suppose u + 3*p - 26 = 0, f*u - p - 7 = 10. Calculate the remainder when 656 is divided by u.
7
Let c be -10 + 243/24 + (-945)/8. Let f = c - -146. What is the remainder when 92 is divided by f?
8
Suppose -213*h + 116 = -209*h - 4*y, -2*h - y + 64 = 0. Calculate the remainder when 2570 is divided by h.
28
Suppose -3*q + 35 - 4 = 2*t, 4*t - 47 = -q. Suppose -3*f + 4*u = -82, -t = -5*f - u + 118. What is the remainder when 68 is divided by f?
16
Suppose -669 = 4*w + c + 46, -3*c + 169 = -w. Calculate the remainder when (1 - w*1) + 23 + -26 is divided by 61.
54
Suppose 87*j = -100*j + 300135. What is the remainder when j is divided by 88?
21
Let o(i) = i**2 - 161*i + 6468. Calculate the remainder when 646 is divided by o(95).
52
Let d(n) = -329*n + 178. What is the remainder when 360 is divided by d(0)?
4
Let n be 6 - 11 - (1 - 48). What is the remainder when (-12)/n + (-2736)/(-21) is divided by 66?
64
Suppose -3*x = -3 - 42. Let f(w) = 6*w**2 - 10*w + 32. Let s be f(3). Suppose -60*c + 24 = -s*c. What is the remainder when x is divided by c?
3
Suppose -5*g - 60 = -4*g. Let s be g/(-15)*(0 + 1). Suppose -s*p + j = 3*j - 80, 2*p - 36 = -3*j. Calculate the remainder when p is divided by 5.
1
Let n be (0 + 1)*32/4. Suppose -l - n*q = -5*q - 13, 3*l - q - 79 = 0. Calculate the remainder when 298 is divided by l.
23
Suppose c - 8 = -1. Let j = 12 - c. Suppose -4*x + 34 = -3*g, 13 = j*x + 5*g - 47. What is the remainder when 18 is divided by x?
8
Suppose 2*v = -v - 18. Calculate the remainder when (7 - -3)*(-9)/v is divided by 90/63*70/25.
3
Suppose -2*w + 2 = -6. Suppose -5*m + w*o + 125 = 0, -40*o + 95 = 5*m - 38*o. What is the remainder when 74 is divided by m?
11
Suppose 3*v + 3*z = -105, 2*v - 4*v + z = 64. Calculate the remainder when 131 is divided by (v/(-11))/(3/(-35)*-1).
26
Suppose -2754 = -5*q + 2*z, 1653 = 249*q - 246*q - z. What is the remainder when q is divided by 79?
78
Let d(f) = f**3 + 8*f**2 - 14*f - 40. Let k be d(-9). Let i(b) = 8*b**3 - 18*b**2 - 2*b - 15. What is the remainder when i(k) is divided by 66?
63
Let n(a) = -2*a**2 - 37*a - 156. Calculate the remainder wh