the remainder when s is divided by i?
3
Let d = 312 + -309. Suppose 32 = 2*w - 0*c + 3*c, -d*w + 2*c + 48 = 0. Calculate the remainder when 159 is divided by w.
15
Suppose 0 = d - 2*h - 20, -4*d - 6*h = -4*h - 90. Suppose d = -z + 26. What is the remainder when 28 is divided by z?
0
Suppose -x - q = 6, 0*x - 3*x + 3*q + 12 = 0. Let t(s) be the first derivative of 34*s**3 + s**2 + s - 7. What is the remainder when t(x) is divided by 26?
23
Let b = -55 - -81. Let g = 61546 + -61516. What is the remainder when g is divided by b?
4
Let z(p) = p**3 + 5*p**2 + 3*p + 1. What is the remainder when ((-11560)/16)/((-130)/52) is divided by z(-4)?
4
Let y = -50646 - -50753. Suppose l = -m + 33, 3*m - 4*l = -0*m + 71. Calculate the remainder when y is divided by m.
20
Suppose -567*q = -524*q - 262515. What is the remainder when q is divided by 235?
230
Let t(o) = -2*o**3 - 32*o**2 - 54*o + 124. Calculate the remainder when t(-17) is divided by 32.
20
Suppose r = -6 + 22. Suppose -2*c + 2*u = -2 - 4, -2*c - 3*u = -r. Suppose -v = 5*h - c*v - 43, v = 3*h - 30. What is the remainder when 21 is divided by h?
10
Suppose 10 = 3*h - 2. Suppose 279 + 188 = 7*z - 3*l, 0 = -2*l + 6. Suppose h*w - 120 = z. What is the remainder when w is divided by 8?
7
Let o = 1243 - 1233. Suppose a = -3*a + 12. Suppose a*l = 7*l - 156. Calculate the remainder when l is divided by o.
9
Let g(j) = -56*j + 133. Let x be g(2). Suppose 0 = x*d - 31*d + 1110. Calculate the remainder when d is divided by 7.
6
Suppose 4*p = u + 70, 6*p = 7*p + 5*u - 7. Let z(k) = -k**2 + 3*k - 11. Let g be z(10). Let b = g - -165. What is the remainder when b is divided by p?
16
Let k = 11 + -7. Suppose -4*h - 4*a - 49 = -13, -3*a + 8 = -2*h. Let l(r) = -4*r**2 - 31*r - 6. What is the remainder when l(h) is divided by k?
3
Let a be 10 - (14 - 4)/5. Suppose d - 13 = -a. Suppose 3*t = -d*v + 80, 5*v + 5*t = v + 77. Calculate the remainder when 24 is divided by v.
11
Suppose 0 = 3*m - 5*o - 135 + 71, -o + 172 = 5*m. Calculate the remainder when 1426 is divided by m.
7
Let b(n) = 167*n + 13094. Calculate the remainder when b(-76) is divided by 208.
194
Let d be 1/((15 - 15) + (-1)/159). Let o = d - -182. Suppose 5*k + 4*x - 8 = 0, 3*x = -2*k - 2*x - 7. What is the remainder when o is divided by k?
3
Suppose 9*d - 12 = -57. Let a be 0 + (-15)/25 + (-53)/d. Suppose -3*w - x + a = -67, 31 = w - x. Calculate the remainder when w is divided by 7.
6
Let m(t) = t**2 - 5*t - 36. Let j be m(-4). Suppose j = 42*q - 46*q + 640. Let h = -14 + 23. What is the remainder when q is divided by h?
7
Let r(g) = 13*g**2 + 4*g + 3. Let v be r(-2). Let t = 2284 - 2305. Let s = v + t. Calculate the remainder when 101 is divided by s.
23
Suppose -480*i + 486*i - 1513 + 265 = 0. Calculate the remainder when i is divided by 75.
58
Suppose -22*b - 14684 = 782. Let x = b - -714. Let t(z) = -42*z**3 - 2*z - 1. What is the remainder when t(-1) is divided by x?
10
Let d(p) = 25*p - 302. Let k(q) = -5*q + 56. Let a(l) = 2*d(l) + 11*k(l). Suppose -o = -5*j - 8 - 4, o = -3. What is the remainder when a(j) is divided by 10?
7
Suppose -156 = -2*r - 4*x, 0 = 4*r + r + x - 399. Let u = 26982 + -26952. Calculate the remainder when r is divided by u.
20
Let n(k) = 25*k + 3. Let b be n(1). Suppose 5*w + 2*a = 6*a + b, 4*a = 4*w - 24. Suppose 664 = 4*h + w*h. What is the remainder when h is divided by 22?
17
Suppose 0 = -3*z + 3*s - 6, 4*s - 2*s = 4*z. Let t(w) = -10*w + 102*w**z - 202*w**2 + 99*w**2 - 11. What is the remainder when 15 is divided by t(-8)?
0
Suppose 2 = 5*b + 27. What is the remainder when (24 + -2)*-1*1/(-2) is divided by (52/20 - 1)/((-1)/b)?
3
Let b(k) = -k**2 - 29*k + 16. What is the remainder when 1883 is divided by b(-27)?
63
Let f = 9 + 13. Let n(p) = p**3 - 5*p**2 + 3*p + 5. Let h be n(4). Let t(g) = 63*g**3 - g**2 + 4*g - 2. Calculate the remainder when t(h) is divided by f.
20
Let x be (44/8 - -3)/((-2)/(-4)). What is the remainder when 31 is divided by (x - 55)/(0 + -2)?
12
Suppose 0 = 86*u - 92*u + 3564. Let w = -521 + u. What is the remainder when w is divided by 47?
26
Suppose -565*d = -582*d + 476. Calculate the remainder when 323 is divided by d.
15
Let f = 6742 - 6720. Calculate the remainder when 269 is divided by f.
5
Suppose 0 = -x - 2*i + 25, -22 = -x - 4*i + 5*i. What is the remainder when 82 is divided by x?
13
Suppose -2*f - 8618 = 6*d - 8*d, 2*d + 2*f - 8622 = 0. Suppose 30*r + 1460 = d. Calculate the remainder when r is divided by 11.
7
Suppose 3*n + q = 199, -5*n + 50 = -3*q - 291. Let w = n + -70. Calculate the remainder when w - ((-147)/(-14))/(6/(-16)) is divided by 14.
11
Let q = 179 - 159. What is the remainder when 76 - (2 + (-3)/(-3)) is divided by q?
13
Suppose 1133 = 24*m - 19. Suppose 16*f - m = 10*f. Calculate the remainder when 14 - (-1 - (-1 - 1)) is divided by f.
5
Let d = 9660 - 9377. What is the remainder when d is divided by 74?
61
Let m(u) = 11*u**2 + 25*u - 275. What is the remainder when 2008 is divided by m(5)?
8
Let u(o) = 5*o**2 + 102*o - 101. What is the remainder when u(13) is divided by 26?
16
Let z = -70978 + 71024. Let j(b) = -b**2 - 6*b - 6. Let c be j(-4). What is the remainder when c + 229 + (-6)/3 is divided by z?
45
Let u(z) = -z**2 + 20*z - 44. Suppose -3*t + 19 = -14. Calculate the remainder when t is divided by u(17).
4
Suppose -15*i + 12*i = 3*p - 84, -4*p + 143 = 5*i. Suppose -324 = -5*h + i. What is the remainder when 218 is divided by h?
5
Let c(o) = o**2 - 7*o - 102. Let i be c(-8). Suppose 107 + 37 = i*v. What is the remainder when 19 is divided by v?
3
Suppose 85 = 4*n - 195. Let k = 75 - n. Suppose k*j - 4 = 4*j. Calculate the remainder when 18 is divided by j.
2
Suppose 3*n - 5*p - 3121 = 0, -3*n + 3128 = 154*p - 158*p. Calculate the remainder when n is divided by 43.
20
Suppose -12 = -4*b + 3*q, 3*q = -b + 18 - 0. Let k(r) = -2*r - 2*r + 0*r + b + 21. Calculate the remainder when k(-24) is divided by 31.
30
Let x = 92 + -88. Suppose -31 = -x*y + 37. What is the remainder when 32 is divided by y?
15
Let y = 3 - -7. Let h = 152 - 237. Let n = h - -102. What is the remainder when n is divided by y?
7
Let b be 11/(88/64) + 0. Suppose -b*u = -3*u - 630. Let p(f) = -4*f**3 - f - 2. Calculate the remainder when u is divided by p(-2).
30
Suppose 321 = 5*k + 3*r - 434, 0 = -2*r. What is the remainder when 347 is divided by k?
45
Let r(b) = b**3 + 9*b**2 + 12*b + 17. Let p(u) = -u**3 - 15*u**2 + 3*u + 11. Let l be p(-15). Let s = 27 + l. What is the remainder when 123 is divided by r(s)?
30
Let f = 13 + -5. Let s(t) = 2*t**2 - t - 4. Let i be s(-8). Suppose i = z + 5*z. Calculate the remainder when z is divided by f.
6
Let n be 1125/6 - ((-25)/(-10))/(-5). Suppose -3*k + 3*f = -3, -4*k + 2*k + 6 = 2*f. Calculate the remainder when k/(-1)*(-1 - n/8) is divided by 10.
9
What is the remainder when ((-87)/609)/((6/10178)/(-3)) is divided by 16?
7
Let i = 1976 - 1970. Let l(z) = -5*z**3 + 10*z**2 + 2. Let g(u) = -u**3 - u - 1. Let r(j) = -6*g(j) + l(j). Calculate the remainder when r(-7) is divided by i.
5
Suppose 0 = 16*n + 2*n - 2646. Let z = n - 84. What is the remainder when z is divided by 26?
11
Let b be (0 - 2) + 12/3. Suppose -3*s - 4 = -2*f - 31, -b*f - 45 = -5*s. What is the remainder when (-3)/(s/(-38)) - 12/18 is divided by 11?
1
Let z = 16704 + -15802. What is the remainder when z is divided by 168?
62
Let c(t) = -t**2 + 4*t + 191. Let r be c(-13). What is the remainder when 76 is divided by (2 - (-260)/15) + 40/r?
4
Let r(t) = t**2 - 6*t - 7. Let g be r(-3). Let n be 45/(-6)*(-72)/g. Suppose 0 = -3*z + 3 + n. Calculate the remainder when 107 is divided by z.
7
Let y = -217 - -219. Suppose 2*n = -4*h + 782, 597 = 3*h - 3*n + 8*n. What is the remainder when h is divided by (y/(-4))/(10 + (-1962)/196)?
47
What is the remainder when (30/4)/((-90)/40)*(-10 - 59) is divided by 58?
56
Let y be (-8 - 111/(-9))*30*3. Suppose -y = -7*o + 3*o - 3*n, -3*o + n = -286. What is the remainder when o is divided by 33?
30
Let h be (-17)/3 - (-3)/(-9). Let r(w) be the third derivative of -w**5/60 - 3*w**4/8 - w**3 + 1660*w**2. What is the remainder when r(h) is divided by 7?
5
Suppose 5*q + 16 = -3*v + 75, 4*q - 37 = v. Suppose 0 = -3*f - 0*f + 261. What is the remainder when f