- 531 = -101*t. Let d = t - -98. Calculate the remainder when (75/(-2))/((-2)/4) is divided by d.
36
Let x(q) = q**3 + 6*q. Let f be x(6). Suppose -434 - f = -7*d. What is the remainder when d is divided by 20?
18
Let w(i) = 6*i - 1. Let n be w(1). Suppose -n = -3*h + 7. What is the remainder when 4/(-2) - (-2 + -19) is divided by h?
3
Suppose 3*c = -0*c + 1530. Suppose 0 = 2*x + 3*x - c. What is the remainder when x is divided by 21?
18
Let h be (-6)/63*3*(-3 - 4). Suppose -3*r + 53 = p + 1, 2*p - h*r = 64. Let w = 32 - 13. What is the remainder when p is divided by w?
18
Let n(u) = -4*u**2 - 22*u + 14. What is the remainder when 1559 is divided by n(-5)?
23
Let d = 86 + -82. Suppose n + 0 = d*q + 12, -n = q - 2. What is the remainder when n is divided by 4?
0
Suppose 5*c - 3 = h, -h + 3*c - 2 = -c. Calculate the remainder when 5 is divided by (3 - h - 3) + 5.
2
Suppose 5*w = 4*s - 146 - 278, 4*w = -4*s + 424. Calculate the remainder when s is divided by 22.
18
Let o = -227 + 332. Let m be 0*((-2)/(-2))/(-1). Suppose -4*p + 7 + o = m. Calculate the remainder when p is divided by 15.
13
Let x(u) = u**3 - 5*u**2 - 4*u + 1. Let w(d) = d**2 - 5*d - 8. Let h be w(7). Calculate the remainder when (25/(-2))/(2/(-4)) is divided by x(h).
12
Let c = 11 + -29. Let a = 28 + c. Suppose -48 = -2*k - 4*l - 0*l, l = -4*k + 103. What is the remainder when k is divided by a?
6
Suppose -5*v = -q - 84, 3*v - 60 = 2*q + q. Suppose -v = -2*m + 2. Suppose -w - 27 = -3*l, l + 4*w - m = -w. Calculate the remainder when 33 is divided by l.
6
Suppose 155 = 3*d - 5*r + 29, -r = -5*d + 210. Let i(g) = -2*g - 16. What is the remainder when d is divided by i(-14)?
6
Suppose -4 - 8 = -2*k. Let i(v) = v**3 - 4*v**2 - 7*v - 8. Calculate the remainder when 85 is divided by i(k).
19
Let u = -59 + 63. Let j = 70 + -46. What is the remainder when (j/(-4))/((-3)/4) is divided by u?
0
What is the remainder when 180 is divided by 51/4 - (-42)/168?
11
Let o(c) = -3*c**3 - 5*c**2 - 10*c + 11. Let s be o(-5). Suppose -q - s - 29 = -4*v, -94 = -v - 2*q. Calculate the remainder when v is divided by 15.
11
Let v = 2027 + -1188. Calculate the remainder when v is divided by 70.
69
Suppose 5*c - 247 = -5*f + 128, -c + 4*f = -95. What is the remainder when c is divided by 34?
11
What is the remainder when (16/2)/((-1)/(-2)) is divided by (-2 - 3)/(-12 + 4 - -7)?
1
Suppose 0 = -3*m - 16*m + 247. Suppose -u + 37 = 2. What is the remainder when u is divided by m?
9
Suppose -3*l + 11 - 2 = 0. Let x(h) = 2*h**2 - 2*h + 3. What is the remainder when 27 is divided by x(l)?
12
Suppose 0 = 2*v - 71 - 21. Suppose o - 3*c + 2 = -o, -3*o + 4 = -c. Suppose 48 = 2*a - o*i, 2*a - 72 = -a - 2*i. What is the remainder when v is divided by a?
22
Let q(o) = o**3 + o + 203. Let b be q(0). Let x = b + -38. Calculate the remainder when x is divided by 24.
21
Let k(c) = c - 11. Let f be k(14). Let o(h) = h**3 - h**2 - h + 2. Calculate the remainder when 1/(1 + 0)*49 is divided by o(f).
15
Suppose 0*a + 10 = 2*a. Suppose -7 - 8 = -5*d. Suppose 3*m - 54 + a = -2*v, -31 = -d*v + 4*m. What is the remainder when v is divided by 6?
5
Let p(o) = o**2 + 2*o - 7. Let c be p(6). Let h = 45 - c. Let v = h + 11. Calculate the remainder when 103 is divided by v.
13
Let n = 54 - 4. Let v(c) = 3*c - 24. Let w be v(7). Let b = w + 29. Calculate the remainder when n is divided by b.
24
Suppose 26*x + 1050 = 6692. What is the remainder when x is divided by 55?
52
Let q = -445 + 460. What is the remainder when 70 is divided by q?
10
Let u = 110 + -102. Calculate the remainder when 36 is divided by u.
4
Suppose -2*m = 2*f - 40, m + 5*f - 19 + 3 = 0. Suppose -4 = -660*s + 659*s. What is the remainder when m is divided by s?
1
Let m be (-168)/(-2)*1 + -2. Suppose -2*x + 4*x - m = 0. What is the remainder when x is divided by 15?
11
Calculate the remainder when (52/26)/((-2)/(-44)) is divided by 15.
14
Let w(n) = -10*n + 26. Let g be w(-12). Suppose -7*s - 34 + g = 0. Let c(r) = r**2 - 5*r - 3. Calculate the remainder when c(-5) is divided by s.
15
Suppose -b - 102 = t, -4*t - 400 = -6*b + 2*b. Let l = -71 - t. What is the remainder when 57 is divided by l?
27
What is the remainder when 442/2*5/5 is divided by 28?
25
Suppose 3*i = -3*t + i - 49, -5*i - 64 = 3*t. Let d(x) = -x**2 - 13*x - 17. Let j be d(t). Let k = j + 33. What is the remainder when 61 is divided by k?
13
Suppose -5*v + 101 = 5*r - 44, 5*r = -3*v + 87. Suppose -5*m + x = -570, -2*m - 2*m = 3*x - 437. Calculate the remainder when m is divided by v.
26
Let x = -16 + 3. Let o = 18 + x. Calculate the remainder when 9 is divided by o.
4
Let n(h) = -h**2 + 9*h + 2. Let p be n(9). Calculate the remainder when 58 is divided by 4 - (5*-3 - p).
16
Let z = 1144 - 1061. Calculate the remainder when 164 is divided by z.
81
What is the remainder when 245 is divided by (2/(-11))/((-4)/11)*248?
121
Suppose 4*c - 15*c + 847 = 0. What is the remainder when c is divided by 28?
21
Let d(p) = 29*p + 28. What is the remainder when d(6) is divided by 41?
38
Suppose -4*v + 94 = 3*b, 4*v - 34 = -3*b + 2*b. What is the remainder when 178 is divided by b?
28
Calculate the remainder when 91 is divided by (-570)/(-18) + 7/21.
27
Suppose -3*z + 223 = 2*l, 6*z + l = 8*z - 144. What is the remainder when z is divided by 12?
1
What is the remainder when -6 + 4 + 7 - -95 is divided by 36?
28
Let m = -399 + 411. What is the remainder when 260 is divided by m?
8
Let n = 760 - 701. Calculate the remainder when 470 is divided by n.
57
Suppose -u + 5 + 6 = 0. Let j = u + -6. Let w = -4170 + 4176. Calculate the remainder when w is divided by j.
1
Let o be (-12)/(-66) - (-376)/(-11). Let h = o - -58. Suppose 0 = 4*c - 16 - h. What is the remainder when 49 is divided by c?
9
Suppose -3*n - 5 + 38 = 0. Suppose 9*h - 12*h = 144. Let o = h + 101. What is the remainder when o is divided by n?
9
Let y(l) = 3*l**2 + 15. Let b(c) = c**3 + 8*c**2 - 7*c + 18. Let a be b(-9). Calculate the remainder when y(a) is divided by 6.
3
Let t be ((-13)/3 - -1)*48/5. Let u = 41 + t. What is the remainder when 26 is divided by u?
8
Let b = -23 + 27. Suppose 524 = b*j + p, 3*p + 228 + 180 = 3*j. Suppose 8*y - 228 = j. Calculate the remainder when y is divided by 12.
9
Suppose 3*u - 371 = 724. Suppose 0 = -24*l + 19*l + u. Suppose 2*y - 48 = k - 2*k, 58 = 2*y - 4*k. What is the remainder when l is divided by y?
23
Let o(y) = y**2 - 4*y - 6. Let u be o(6). Let s = u - 1. What is the remainder when 12 is divided by (2 - s/2)*-14?
5
Let f = -34 + 55. Let w = f - -13. Suppose -o - 3*u = -5*u - w, -5*o - 4*u + 142 = 0. What is the remainder when o is divided by 8?
6
Suppose 0 = -r - 2*h - 108, 3*h + 324 = -3*r - 0*r. What is the remainder when 6 is divided by (-240)/r - 2/9?
0
Let i be (-4)/(-2) + 3 + 3 + -5. Suppose 24 = i*p - 36. What is the remainder when 91 is divided by p?
11
Let u(n) = n**3 + 117*n - 7*n**2 + n**2 - 10 - 131*n. Calculate the remainder when 36 is divided by u(8).
0
Suppose -274*u - 2700 = -294*u. Calculate the remainder when 135 is divided by u.
0
Let b(w) = -w**2 + 9*w - 5. Let x be b(9). What is the remainder when 44 is divided by 0 + -3 - (35*4)/x?
19
Suppose 0 = -5*s + 3*n + 22, -5*n = s - 7 + 25. Suppose 3*m + 2*m = -5. Let l(q) = -3*q + 2. Calculate the remainder when l(m) is divided by s.
1
Suppose 92 = -2*w + 6*w. Let y = -9 + w. Calculate the remainder when 52 is divided by y.
10
Let f = 539 + -533. Calculate the remainder when 10 is divided by f.
4
Let r = 18 + 13. Calculate the remainder when r/((-2)/7 + (-18)/(-14)) is divided by 11.
9
Let x be ((-138)/5)/((-2)/5). Suppose -o - 2*o = -x. Calculate the remainder when 44 is divided by o.
21
Let k(w) = -19*w + 167. Calculate the remainder when 234 is divided by k(8).
9
Suppose -x + 37 = j - 2*x, -j + 28 = 2*x. Suppose 2*h - 174 = -j. Calculate the remainder when h is divided by 24.
22
What is the remainder when 30 is divided by (4 + -1)*(-4)/3*-4?
14
Let h(m) be the second derivative of -m**4/12 - 23*m**3/6 - 31*m**2/2 + 41*m. Calculate the remainder when h(-20) is divided by 6.
5
Suppose 4*q = 2*i - i + 6, 0 = 5*i - 4*q - 18. Suppose 29 + 34 = 7*c. Let w(l) = l**2 - 4*l - 34. Calculate the remainder when w(c) is divided by i.
5
Let s(i) = 2 - 20 - 15 - 1