e the remainder when 451 is divided by (186/(-9))/((-186)/837).
79
Let b = 8 + -10. Let s be (-408)/(-6) + -2 + b. Calculate the remainder when (-91)/(-4) + 16/s is divided by 12.
11
Let o = 416 - 406. Suppose -5 = 4*x - 33. Calculate the remainder when -6*(-8)/(32/o) is divided by x.
1
Suppose -36*c + 178 = -110. What is the remainder when (c/16)/((28/432)/7) is divided by 3?
0
Let k(m) = m + 23. Let h be k(8). Suppose -623 + 127 = -h*f. What is the remainder when f is divided by 8?
0
Let k be (2 + -2)/(1*(-2)/1). Suppose 5*o - 174 = 5*s - 29, -4*s + 4 = k. What is the remainder when o is divided by -2 - (-1 + (-12 - 0))?
8
Let j = -356 - -625. Suppose 2*v + 90 = -12*f + 15*f, -5*f + 152 = -3*v. Calculate the remainder when j is divided by f.
31
Let z(d) = 8*d - 20. Let q be z(8). Calculate the remainder when (4*q/(-24))/((-6)/9) is divided by 1 - (-2)/(-1)*-2.
1
What is the remainder when (4/14 - 21641/(-35))*(11 - 6) is divided by 91?
90
Let y = 1566 - 1534. What is the remainder when 985 is divided by y?
25
Suppose -385 = -4*r - 5*n, -n = -23 + 26. What is the remainder when 299 is divided by r?
99
Let s(i) = 11*i + 162. Let m(b) = -35*b + 267. Let d be m(8). What is the remainder when (74/(-5))/(1/(-5)) is divided by s(d)?
17
Let v be (-2)/(-6) - (-1)/(-3). Suppose i - 6 + 0 = v. Calculate the remainder when (6/(-2))/(2/(-6)) is divided by i.
3
Let n = 1286 - 1. Calculate the remainder when n is divided by 18.
7
Let r = -140 - -244. Suppose 64*o + 66 = 70*o - i, -3*o + 3*i + 18 = 0. What is the remainder when r is divided by o?
8
Let y(u) = -u**2 - 16*u - 22. Let t be y(-14). Suppose 0 = -5*i - 3*o + 94, -4*i + o = -71 + t. What is the remainder when 80 is divided by i?
12
Let a(l) = -l**3 - 15*l**2 - 32*l - 31. Let h be a(-13). Suppose -h - 21 = -y. What is the remainder when y is divided by 42?
26
Let q = 2407 - 2350. What is the remainder when q is divided by 41?
16
Let t = 39581 - 38840. Calculate the remainder when t is divided by 7.
6
Suppose 0 = -2*u - 3*u - 3*z + 759, 285 = 2*u - 5*z. What is the remainder when u is divided by ((-10)/(-80)*8)/(1/19)?
17
Let w be 6/(1 - 467/94 - -4). Suppose -2*l = -2*g + 104, -5*l + w = 14*g - 11*g. What is the remainder when g is divided by 20?
16
Suppose -2*x = -44 + 10. Suppose 25*b - 1782 = 7*b. Suppose 7*c - 111 = b. What is the remainder when c is divided by x?
13
Let x(r) = 29*r**2 - 2*r + 2. Calculate the remainder when x(2) is divided by ((-174)/(-21))/((-50)/(-175)).
27
Let h(w) = -w**2 + 6*w + 5. Let i = -106 - -112. What is the remainder when (3/(27/i))/((-25)/(-1350)) is divided by h(5)?
6
Suppose y - 4*y + 3*h - 54 = 0, 3*y + 46 = 5*h. Calculate the remainder when 23 is divided by ((-194)/22 - -9) + (-282)/y.
10
Let l = -7 - -25. Suppose 1 = 2*z - 3. Suppose 2*k - z*y - 212 = -k, 5*y = -5. What is the remainder when k is divided by l?
16
Suppose 3*v - 273*b = -269*b + 109, -5*v + 114 = 3*b. What is the remainder when v is divided by 19 + -1 - 4/4?
10
Let s = 6664 - 6661. What is the remainder when 2720 is divided by s?
2
Let x = 679 - 675. Suppose -2*l = -5*l + 123. What is the remainder when l is divided by x?
1
Let g be -4*((-45)/6 - -7). Suppose -g*o = a - 215 + 76, -3*o + 2*a + 226 = 0. Calculate the remainder when o is divided by 29.
14
Let h(g) = g**3 - 2*g**2 - 1. Let s(a) = -2*a**3 + 17*a**2 - 16*a + 9. Let d(o) = 4*h(o) + s(o). What is the remainder when d(4) is divided by 72?
69
Let u(z) = 17*z**2 - 86*z + 618. What is the remainder when u(9) is divided by 24?
21
Let x be 24/21 + 4/(-28). Suppose -3 + x = -l. Suppose -l*n = -3*h + 75 - 21, 72 = 4*h - 4*n. What is the remainder when h is divided by 7?
4
Let y = 196025 - 195989. Let j = 21 + 48. What is the remainder when j is divided by y?
33
Let a = -331 + -29. Let j = -272 - a. Suppose 2*p - 40 = 8. Calculate the remainder when j is divided by p.
16
Suppose -16*g - 939 = -20*g - f, 453 = 2*g - 5*f. What is the remainder when 260 is divided by g?
26
Let k(j) = j**3 + 7*j**2 + 4*j - 13. Let u be ((-4)/(-2) - 7) + -1. Let c be k(u). Calculate the remainder when 3 + (3 + -2)/c + 12 is divided by 7.
0
What is the remainder when 1 + 14/(-12) + (-252590)/(-804) is divided by 49?
20
Let n(f) = 47*f - 1893. Suppose -4*c + i + 28 = 3, -4*c + 16 = -4*i. Calculate the remainder when n(41) is divided by c.
6
Let o(j) be the third derivative of -j**5/15 + j**4/12 + 499*j**3/3 - 96*j**2 + 1. Calculate the remainder when o(0) is divided by 25.
23
Let n(b) = -11*b - 2. Let w be n(-1). Suppose 45 = 3*s - 3*v, -1 + w = -2*v. Calculate the remainder when 87 is divided by s.
10
Suppose -4976 - 329 = -218*u + 8647. Suppose -144 = -4*b - 0*y + 3*y, 2*y - 203 = -5*b. Calculate the remainder when u is divided by b.
25
Let t(f) = -f**3 - 11*f**2 - 56*f - 52. What is the remainder when t(-10) is divided by 65?
18
Suppose -4*g - 2*i - 14 = 0, 16 = 4*g - 6*g - 4*i. Let v = 33 + 25. What is the remainder when v is divided by -3 + (4 + -7)*g + 7?
8
Suppose k + s = 34, -k = -3*s - 68 + 42. Calculate the remainder when 356 is divided by k.
4
Let c(v) = -65*v + 346. What is the remainder when c(-14) is divided by 42?
38
Suppose -24*m = -40*m - 74*m + 3330. Calculate the remainder when 2569 is divided by m.
16
Let j = -417 - -450. Let f(h) = -9*h. Let r(b) = -28*b - 1. Let y(s) = 7*f(s) - 2*r(s). What is the remainder when j is divided by y(-1)?
6
Suppose 5*w + 740 = 5*x, 0 = 37*x - 32*x + w - 734. Calculate the remainder when 586 is divided by x.
145
Suppose -4563 + 574 - 1186 = -69*h. Suppose 0 = -y + 17. What is the remainder when h is divided by y?
7
Suppose 0 = 4*a - w - 38, -188*w + 12 = 2*a - 192*w. Calculate the remainder when 3*(28 + -2 + 3) is divided by a.
7
Let j(g) = 4*g + 47. Let t be j(-11). Suppose 3*w + t = 0, 5*s - s + 5*w - 43 = 0. What is the remainder when 30 is divided by s?
6
Let w(a) = -a + 17. Let s be w(-5). Let g = 28 + s. Let p = g - 44. Calculate the remainder when 6 is divided by p.
0
Let y = 26 - -9. Let s(h) be the second derivative of 3*h**4/4 - 2*h**3/3 - 12*h**2 - 83*h - 1. What is the remainder when s(4) is divided by y?
34
Let v = 33364 - 31047. What is the remainder when v is divided by 79?
26
Let t = 172 + -93. Calculate the remainder when t is divided by (-174)/319*(17 + -50).
7
Suppose -628*c - 761498 = -662*c. What is the remainder when c is divided by 131?
127
Let d(a) = -12*a**2 - 16*a**2 - 6 + 7*a + 29*a**2. Let v be d(4). Suppose -3*u + 13 + v = 0. Calculate the remainder when 101 is divided by u.
16
Suppose t - 3*g - 41 = 0, -5*t + g + 83 = -192. Suppose 5*w = 5*v + 80, -5*v + 0*w - t = 3*w. Let l = 0 - v. What is the remainder when 48 is divided by l?
9
Suppose -5*j + 3*j + 6864 = 3*v, 0 = -j - v + 3434. Calculate the remainder when j is divided by 172.
170
Let p be -34*-1*1 - 1. Calculate the remainder when (p + (-2)/2)*1 is divided by -8 + ((-64 - -37) + 43 - (1 + 0)).
4
Let n(w) = 49 + 321*w - 5 - 328*w. What is the remainder when n(-5) is divided by 28?
23
Let p = 1626 + -1625. Suppose 3*h - 69 = -0*h - k, -4*k = -12. Calculate the remainder when 79 is divided by -20 + 18 + p*h.
19
Suppose -2*k = -3*j + 28, 3*j + 0*j + k = 22. Suppose -3*b = -4*g + 144, 5*g + j*b = 10*b + 187. Calculate the remainder when 78 is divided by g.
0
Let l(r) = 49*r - 2. Let h be l(8). Suppose -171 = -3*g + h. Suppose 5*c + 5*j = -114 + 569, 2*c = -j + g. What is the remainder when c is divided by 49?
47
Suppose 12*i - 16*i - 2*g + 236 = 0, -i = -4*g - 50. What is the remainder when i is divided by 12?
10
What is the remainder when (1474/(-121))/((-1)/(-22)*-2) is divided by 16?
6
Let f(b) = 4*b**3 - 80*b**2 - 48*b + 160. Calculate the remainder when f(21) is divided by 185.
176
Suppose -33*y - 31*y + 4473 = -y. What is the remainder when 302 is divided by y?
18
Suppose 0 = -3*j + 3*p + 1683, 15 - 14 = -p. Suppose 56 = -8*n + j. What is the remainder when 110 is divided by n?
47
Let m = 475 + -457. Suppose 14*k = m*k - 16, -3*k = -4*s + 44. What is the remainder when s is divided by 14?
0
Suppose 2 = 5*c - 3. What is the remainder when (3/(-5))/(6 - (-1955)/(-325)) is divided by 1 + 23 - (2 + c)?
18
Suppose -3*q + 228 = 2*a, -5*a + 126*q + 627 = 124*q. Calculate the remainder when 1963 is divided by a.
118
Let c(j) = -4*j**3