t is the remainder when 32 is divided by d(u)?
5
Suppose 0 = 5*a - 30. Calculate the remainder when 13 is divided by (a + 156/(-28))*7.
1
Let v(a) = 5*a - 31. Let b be v(7). Let s be -10*-1*b*4/32. Suppose s*u - 120 = -u. What is the remainder when 36 is divided by u?
16
Suppose -4*i + 3*k = -0*k - 24, -2*i - 2 = -5*k. Suppose b - 470 = -i*b. Calculate the remainder when b is divided by 12.
11
Suppose -4*i + 35 = 2*k - 103, 4*k + 5*i - 294 = 0. Calculate the remainder when 195 is divided by k.
33
Suppose -48*c = -49*c. Suppose -85 = 4*f - 5*a, 4*f - 3*f + 5*a - 10 = c. Let z = f - -26. What is the remainder when 51 is divided by z?
7
Let s(x) = x**3 + 8*x**2 - 52*x - 410. Let g = 63 - 42. Calculate the remainder when g is divided by s(-8).
3
Let q(w) = w. Let y be q(3). Suppose y*c = 7*c - 112. Let m = 6557 - 6480. Calculate the remainder when m is divided by c.
21
What is the remainder when (94/5)/((-11)/(-3630)) + (0 - -3) is divided by 230?
227
Suppose -4*c - 2*z + 841 + 1087 = 0, 4*c + 5*z - 1928 = 0. What is the remainder when c is divided by 1/(-9) + (14 - 1968/(-216))?
22
Let h be (117/195)/((-2)/(-80)). Suppose -37*f + h*f + 1326 = 0. What is the remainder when f is divided by 13?
11
Calculate the remainder when ((-8670)/(-75))/((-12)/(-4)*(-3)/(-45)) is divided by 83.
80
Suppose 6*o = 2*o + 44. Let u be ((-38)/(-4))/(6/48*2). Suppose 0 = u*i + 72 - 680. What is the remainder when i is divided by o?
5
Suppose 5*g - 1494 - 4998 = -c, -12 = 4*c. Calculate the remainder when g is divided by 257.
14
Suppose 2*z = -2*z - 4*y + 44, 0 = -5*y + 25. Let l(d) = 112*d + z - 3 - 114*d - 5*d**2 - d**3. What is the remainder when 16 is divided by l(-5)?
3
Calculate the remainder when 5166 is divided by (6/7)/((-12)/(-224)).
14
Suppose 2*x - 6*d + 2*d = -18, 2*x - d + 24 = 0. Let q(w) = -9*w + 4. Let i be q(-9). Let h = i + x. Calculate the remainder when h is divided by 25.
22
Let g = -2753 - -2772. What is the remainder when 1180 is divided by g?
2
Suppose t + 5*r = -21, t - 4*r - 7 = -2*r. Let a be (-4)/(225/(-235) - t). Let c = -80 - a. Calculate the remainder when 53 is divided by c.
11
Let s(j) = 2*j**3 - 5*j**2 - 2. Suppose -3*b + 120 = -v, 3*v - 5*b + 527 - 155 = 0. Let w = v + 264. What is the remainder when w is divided by s(4)?
43
Let t be 75/(24/(-8) - (-54)/16). What is the remainder when 54/10*t/8 is divided by 23?
20
Suppose 0*i = -11*i - 715. What is the remainder when (-10)/i - (-10288)/52 is divided by 40?
38
Suppose -9 = -15*t + 12*t. Suppose 11 = -k + 5*k + t*z, -3*z + 6 = 3*k. Suppose -f + 2 = -6. What is the remainder when f is divided by k?
3
Suppose -4*n - 46 = -86. Suppose 8*k = n*k - 10. What is the remainder when 239 is divided by k?
4
Let a = 484 + -416. What is the remainder when a is divided by 24?
20
Let t = -72799 - -72959. What is the remainder when t is divided by (-752)/(-14) + (-6)/(-21)?
52
Let c(q) = q**3 + 13*q**2 - 21*q + 1. Calculate the remainder when 1122 is divided by c(-13).
26
Let a(s) = 3*s - 25. Let q = -128 - -143. Calculate the remainder when q is divided by a(9).
1
Let a = 1834 - 1524. What is the remainder when 913 is divided by a?
293
Let l(b) = -6*b - 133. Suppose -a + 6*a + 128 = -3*j, a = 4*j - 44. What is the remainder when 243 is divided by l(a)?
33
Suppose -1446 + 278 = 4*h. Calculate the remainder when 0 + h/(-2) - 0/3 is divided by 21.
20
Calculate the remainder when (-34)/((-3096)/90 + 34) is divided by (4/(-3))/((-2)/6).
1
Let y(g) = -g**3 - 7*g**2 + 15*g + 11. Let d be y(-10). Suppose 3*s + d = 437. Let f = 130 - s. Calculate the remainder when f is divided by 13.
12
Let k(z) = -7*z - 239. Let u be k(-35). Let j(a) = -12*a + 1. What is the remainder when ((-10)/u)/((-1)/87) is divided by j(-4)?
47
Suppose 0*x + 5*q = 5*x - 25, 0 = 5*x + 4*q - 7. Suppose 3*l + x + 8 = 2*n, -2*l + 6 = 2*n. Suppose 28 + 88 = n*h. What is the remainder when h is divided by 6?
5
Let u = 1 + 22. Let c = u + -19. Suppose 3*h = 4*h - c. Calculate the remainder when 8 is divided by h.
0
Let k(x) = -2*x**2 - 28*x + 8. Let j be k(-10). Suppose 4*g - j = 132. Let l = g - 44. Calculate the remainder when l is divided by 10.
1
Let f = 18470 + -18447. Suppose -2*g + 2*r + 166 = 0, 4*r + 419 = 3*g + 2*g. What is the remainder when g is divided by f?
18
Suppose o + 73 = 3*q, -968*q - 3*o = -963*q - 131. Suppose 0*r - 4*r + 168 = 2*f, 0 = 2*f - 4. Calculate the remainder when r is divided by q.
16
Let x = 5324 - -13443. What is the remainder when x is divided by 23?
22
Suppose -1215*x + 9114 = -1184*x. Calculate the remainder when x is divided by 71.
10
Let y = 2766 - 1639. What is the remainder when y is divided by 10?
7
Let c = 37 + -13. Let x(s) = -1426*s + 109. Calculate the remainder when x(0) is divided by c.
13
Let n(y) = -y**3 + 18*y**2 + 81*y - 39. What is the remainder when n(20) is divided by 29?
27
Let v(o) = 12*o**2 - 25*o + 115. Calculate the remainder when 2479 is divided by v(4).
202
Let n = -7245 + 7269. Calculate the remainder when 3306 is divided by n.
18
Suppose 334*h = 358*h - 2880. What is the remainder when 137 is divided by h?
17
Let p be (3 + 1 + -1)*243/243. Suppose 27*j - 24*j = -p*s + 72, 2*j - 76 = 5*s. Suppose 3*x + 2*x - 520 = 0. What is the remainder when x is divided by j?
20
Let q(i) be the third derivative of -i**5/60 + 13*i**4/24 + 27*i**3/2 + 85*i**2. What is the remainder when 56 is divided by q(16)?
23
Let y be 0 - (-2 - (-8)/(-2)). Suppose n - 3*d - 108 = 0, 5*d - 42 = -3*n + 268. Suppose 3*j = y*j - n. What is the remainder when j is divided by 9?
8
Let f be (45/20 + -1)*80. Suppose -2*u + f = 4*h, -3*h + 23 = -u - 42. What is the remainder when 67 is divided by h?
21
Suppose 15*j - 1608 - 762 = 0. What is the remainder when 1419 is divided by j?
155
Suppose -3*a + 567 = o, 2*a = 4*o - 518 + 924. Calculate the remainder when a is divided by 80.
31
Suppose r - 52 = -3*r - 3*f, -5*f + 60 = 5*r. Suppose -151 = -4*d + 101. Suppose r*p + d = 19*p. Calculate the remainder when 80 is divided by p.
17
Calculate the remainder when 123 is divided by 19 - ((22 - 6) + -2).
3
Let v = -18113 + 18198. Calculate the remainder when 93 is divided by v.
8
Let o(g) = 12*g**2 - 2*g + 1. Suppose -417*i = -246*i - 12825. Calculate the remainder when i is divided by o(1).
9
Suppose -24*b + 261 = -15*b. Suppose 24*d = b*d - 85. Calculate the remainder when 98 is divided by d.
13
Let h be (-9)/(-4)*1*24/(-3). Let u = h + 21. What is the remainder when 56 is divided by 2/u*27 - -2?
16
Let g(r) = 12*r - 1. Suppose -3*n + 2 = -1. Let f = 781 - 764. Calculate the remainder when f is divided by g(n).
6
Let h(f) = -53*f - 1560. What is the remainder when 319 is divided by h(-31)?
70
Suppose -41*n + 52*n - 55 = 0. Suppose n*s - 5*c = 90, -4*s - 4*c + 1 = -79. Let g(o) = -5*o. Calculate the remainder when s is divided by g(-1).
4
Suppose -24*b - 6417 = -3*c - 20*b, 10649 = 5*c + b. Calculate the remainder when c is divided by 164.
163
Suppose 0 = r - 5*u - 91, -1016 = -2*u - 1020. Calculate the remainder when 621 is divided by r.
54
Suppose 2*b = 3*x - 192, -2*x - 18*b + 21*b + 123 = 0. Calculate the remainder when 35/21*(x + -6) is divided by -2*1 - (-53)/1.
49
Suppose 0 = -1909*s + 1944*s - 14525. Calculate the remainder when 1968 is divided by s.
308
Let g(r) = 16*r**3 - 5*r**2 - 53*r + 164. What is the remainder when g(3) is divided by 382?
10
Suppose -4*d - 40 = 6*d. What is the remainder when 19 is divided by (d + 5)/((-3)/(-33))?
8
Let u = -36274 + 36289. Calculate the remainder when 101 + 2/4*-2 is divided by u.
10
Let o(j) be the first derivative of -j**2/2 - 3*j - 3. Suppose 963 = -5*q + 983. Calculate the remainder when o(-8) is divided by q.
1
What is the remainder when -5 - (-79380)/99 - (-4)/22 is divided by 38?
37
Let w = -147 - -145. What is the remainder when 20 is divided by (9 - w - 7)*(-2)/(-4)?
0
Suppose 5*h - 2711 - 2027 = u, -5*u = -2*h + 1863. What is the remainder when h is divided by 942?
7
Let j = -229 + 333. Suppose -10*t + 90 = -10. Suppose -45 = 7*o - t*o. What is the remainder when j is divided by o?
14
Let k be (-27)/(-6)*2094/9. Calculate the remainder when k/(2 + 4/4) is divided by 16.
13
Suppose -4*n + 23 = -p, 3*p - 34 - 65 = -2*n. Suppose -23 - 23 = -3*k - 2*b, -b + 17 = k.