remainder when 117 is divided by s.
37
Let w = -1 - -9. Let k = 10 - w. Suppose 3*y = -4*p + k*y + 80, -8 = -2*y. What is the remainder when p is divided by 7?
5
Suppose -8 = 2*q, 5*q - 298 = -y - 0*q. Suppose 5*x - y = 3*i, -3*x = 2*i + 2*i - 185. What is the remainder when x is divided by 0 - 3 - 38/(-2)?
15
Let w be -105*((-9)/(-3))/(-9). Calculate the remainder when 38 is divided by (-2)/(((-14)/w)/(11/5)).
5
Let n be 3/(2/(-2)) + 7. Let x = n - -4. Let t = -4 + x. What is the remainder when 7 is divided by t?
3
Suppose -184 = -5*v + 2*p, -6*v - 4*p = -3*v - 126. What is the remainder when v is divided by 5?
3
Let k(a) = 3*a**2 + 51*a - 4. Let f be k(-17). Calculate the remainder when (0 - (f - 128)) + -3 + 3 is divided by 19.
18
Let x = 1441 - 1028. Suppose 0 = 3*d - 3*y - 405, 7*y - 2*y + x = 3*d. Suppose d = 4*g - 29. What is the remainder when g is divided by 21?
19
Let p = -52 + 36. Let m = -67 + 94. Let f = p + m. Calculate the remainder when f is divided by 6.
5
Suppose 637 - 89 + 352 = 45*i. What is the remainder when 6*1*(-56)/(-6) is divided by i?
16
Let q(v) = -3 - 2*v + 5 - 1 + 2. Let o(w) = -10*w - 18. What is the remainder when o(-5) is divided by q(-3)?
5
Let j = 91 - 12. Calculate the remainder when j is divided by ((-273)/2457)/((-1)/189).
16
Suppose 0 = -4*n + 3*n + 273. Suppose -7*j + 105 + n = 0. What is the remainder when j is divided by 28?
26
Let c = 31 + -22. Let x(b) = -5*b + 38. Calculate the remainder when c is divided by x(7).
0
Let n be 8/(-28)*1 - 80/14. Let d(m) = -m**2 - 10*m - 13. Calculate the remainder when 21 is divided by d(n).
10
Suppose -16*s - 3*s = -3857. What is the remainder when s is divided by 42?
35
Suppose -2*b - 4*u + 34 = 0, -b + 55 = 3*b - 5*u. Suppose 0 = 2*h - 5*h + b. Calculate the remainder when 9 is divided by h.
4
Let v = -15 - -40. Let t = 110 - 104. Calculate the remainder when v is divided by t.
1
Let h(w) be the first derivative of w**4/4 - w**3/3 - w**2/2 + 5*w - 7. Calculate the remainder when 59 is divided by h(3).
19
Let z(s) = -31*s + 305. Calculate the remainder when 203 is divided by z(9).
21
Let b(c) = 51*c - 90. Let i(z) = -5*z + 9. Let a(s) = 2*b(s) + 21*i(s). Let v be -1 + (-51)/9 + (-12)/36. What is the remainder when 118 is divided by a(v)?
28
Let l = -761 + 2979. What is the remainder when l is divided by 15?
13
Let b(u) = -u**3 + u**2 + u + 82. Let s be b(0). Let v = s - 35. Let c = v - 19. Calculate the remainder when c is divided by 10.
8
Suppose t = -12*t - 2275. Let v = -144 - t. Calculate the remainder when 120 is divided by v.
27
Let v(c) = c**3 - c**2 + c. Let t(l) = -3*l**3 - 8*l**2 - 2*l - 33. Let r(i) = -t(i) - 4*v(i). What is the remainder when 80 is divided by r(12)?
8
Let q(o) = -3*o + 34 + 4*o - 8*o - 6*o. Calculate the remainder when q(-5) is divided by 51.
48
Let n(a) = 7*a**2 + 14*a - 9. Let w be n(6). Let f = -217 + w. Calculate the remainder when f is divided by 29.
23
Suppose -2*t + 580 = h - 4*h, -4*h = 0. What is the remainder when t is divided by 49?
45
Suppose 3*p = -12, -8*p + 3*p - 8 = 2*r. Suppose c + 40 = r*c. What is the remainder when c is divided by 5?
3
Let n = -53 - -87. Let h(d) = -d + 50. Calculate the remainder when n is divided by h(30).
14
Suppose -5*v + 28 = -27. What is the remainder when 53 is divided by v - 1/(4/(-12))?
11
Let w be (-3 + 2 - -2)*-1. Let z = w - -10. Calculate the remainder when z is divided by (-1218)/(-87) + (2 - 10).
3
Suppose -2*t = -t - 3*r - 6, -4*t + 104 = 4*r. What is the remainder when 65 is divided by t?
2
Suppose 5*j + 21 = 2*o - 126, -4*o + j + 285 = 0. What is the remainder when o is divided by 18?
17
Suppose f + 3*a - 21 = 0, -4*f - a + 23 = -61. Let q = 102 + -69. Calculate the remainder when q is divided by f.
12
Suppose -678 = -0*d - 6*d. Calculate the remainder when d is divided by (-2)/(-4)*(4 - 3 - -57).
26
Suppose 18*w - 198 = -4*w. Calculate the remainder when 1 + 0 + 3 - -2 is divided by 2/w + 75/27.
0
Let q be (-2)/(-8)*2*0. Calculate the remainder when (38/(-2))/(q - 1) is divided by ((-588)/112)/(6/(-8)).
5
Suppose 0 = -y + 6. Let o(i) = -i - 1. Let n be -5 + (1 + -1 - -1). Calculate the remainder when y is divided by o(n).
0
Suppose 0 = -459*z + 460*z - 10. Calculate the remainder when 17 is divided by z.
7
Let v be 45/75 - 114/(-10). Suppose -3*d + 81 = -2*p, 0 = -3*p - p - v. What is the remainder when 97 is divided by d?
22
Calculate the remainder when 296 is divided by 6 + (-360)/(-25) - (-2)/(-5).
16
Let t(m) = -4*m - 43. Calculate the remainder when 103 is divided by t(-20).
29
Suppose -9 = -3*m - u, 5*u = -5*m + 40 - 15. Suppose 4*i = -z - 268, 2*z = -6*i + m*i - 268. Let x = i + 120. What is the remainder when x is divided by 18?
17
Suppose -999*l + 1016*l = 4318. Calculate the remainder when l is divided by 24.
14
Let i(u) = 20*u**3 - u**2 + u. Let s be i(1). Let a = s - 8. Let b(m) = m**2 - 8*m + 15. What is the remainder when b(a) is divided by 16?
15
Suppose 0 = 4*o + k - 71, 16*o + 3*k - 61 = 12*o. Calculate the remainder when 138 is divided by o.
5
Let x(s) be the third derivative of -49*s**4/12 - s**3/2 + 6*s**2. Let j be x(-3). What is the remainder when 53 is divided by j/21 - 4/(-28)?
11
Let u(n) = 5*n**3 + 3*n**2 - 26*n + 11. Calculate the remainder when u(4) is divided by 46.
45
What is the remainder when 868 is divided by 1968/18 + -1*(-4)/(-12)?
105
Suppose -3*t = 2*s - 6 + 4, -3*s + 37 = -4*t. Suppose s*d + 178 = 738. What is the remainder when d is divided by 15?
5
Let i(p) = p**3 + 20*p**2 + 16*p + 29. Let g be i(-19). Let s = g + -75. Calculate the remainder when s is divided by 3.
2
Suppose -384 = 15*t - 19*t. Calculate the remainder when t is divided by 10.
6
Suppose -60*p + 159*p = 83*p + 176. Calculate the remainder when 1/3 + 632/12 is divided by p.
9
Let v be ((-1)/(-4))/((-17)/(-2924)). Let f = v + -36. Let t(q) = -q**2 - 17*q - 10. What is the remainder when t(-15) is divided by f?
6
Suppose 1708*w = 1704*w + 420. Calculate the remainder when w is divided by 27.
24
Suppose -s + 119 = 3*r, 216*s = -3*r + 221*s + 107. Calculate the remainder when 183 is divided by r.
27
Suppose w = -4*s + 50, 3*w - 2*s = -w + 164. Let x be (-2)/(-4)*(-27 - 7). Let f = w - x. Calculate the remainder when f is divided by 15.
14
Let x(w) = w**3 - 3*w**2 - 5*w - 3. Let j(s) = s**3 - 14*s**2 + 14*s + 13. Calculate the remainder when x(6) is divided by j(13).
23
Suppose -5*d + 301 + 214 = 0. Suppose -33*l + 1730 = 28*l + 83. What is the remainder when d is divided by l?
22
Let m(u) = -13*u + 227. Let k = -7 + 12. Suppose -k*w - 4*l - l + 70 = 0, -2*w = -5*l - 42. What is the remainder when m(13) is divided by w?
10
Let i(p) = -10*p - 31. Let k be 5*-1 - (-56)/(-14). What is the remainder when i(k) is divided by 30?
29
Suppose -t + 22 = -28. Let n(z) = 5*z**2 + z - 4. What is the remainder when t is divided by n(2)?
14
Suppose 5*z - 112 = -3*c, -z = -4*c + 30 - 57. What is the remainder when 38 is divided by z?
15
Let u(q) = q**3 + 2*q - 3. Let m be u(2). Let z(k) = k**2 - 9*k + 4. Let w be z(m). Suppose -w*a = -2*a - 160. What is the remainder when a is divided by 27?
26
Let p = -56 - -58. Suppose p*w = 2*i - 16, 6*i - 5*w = 3*i + 16. What is the remainder when 59 is divided by i?
11
Suppose -31*y = -27*y - 8. Calculate the remainder when (1 - 8/y) + 29 is divided by 6.
2
Let r(c) = -c**2 - 10*c + 4. Let d be ((-9)/(-5))/(18/60). Suppose 56 = 5*z - 2*v - d, -v = z - 18. What is the remainder when z is divided by r(-10)?
2
Let z be -4*((-74)/(-8))/(-1). Let p(r) = -3*r**3 + r**2 - r + 3. Let h be p(-2). Suppose 0 = 5*k - h - z. What is the remainder when k is divided by 4?
2
Let p(q) = 5*q - 27. Let r be p(8). Suppose 95 = 4*m - r. Calculate the remainder when 105 is divided by m.
24
Suppose -2*o + 779 = -c, 3*o + 4*c = 223 + 951. What is the remainder when o is divided by 44?
38
Suppose 136 + 29 = 3*v. Let k = 43 + -45. Calculate the remainder when v is divided by (-60)/((-8)/4) + k.
27
Let d be (-1)/(-2)*(5 - -3). Suppose d*g - 1 = -r + 35, 4*g = 16. Calculate the remainder when r is divided by 7.
6
Let h(b) = -b**2 + 25*b - 71. What is the remainder when 287 is divided by h(5)?
26
Let b(v) be the third derivative of -v**5/60 + 5*v**4/24 + v**3/2 - v**2. Let y = -2674