= 111 + -58. Suppose -4*o + 4*r + 24 = -3*o, 5*o + r = 15. Calculate the remainder when i is divided by o.
1
Let b = -49 + 52. Suppose -j + b*m = 4*j - 4, 2*j = 2*m. Suppose -j*q + 54 = 20. What is the remainder when 40 is divided by q?
6
Let v(l) = -4*l + 0*l**2 - l**2 + 9*l + 3. Let d = -3734 + 3737. What is the remainder when 11 is divided by v(d)?
2
Let c = -2487 - -2561. What is the remainder when c is divided by 31?
12
Suppose -4*z = -3*n + 1645 + 1769, -z = 9. What is the remainder when n is divided by 1124?
2
Let p(q) = -49*q - 5539. What is the remainder when p(-116) is divided by 31?
21
Suppose 0 = -10*r + 18*r - 1288. Let y be 24*(104/12 - 4). Let v = r - y. What is the remainder when v is divided by 26?
23
Let n(t) = -30*t - 106. Let v be n(-3). Let w(o) = -o**2 - 26*o - 136. What is the remainder when 261 is divided by w(v)?
21
Let g(w) = -w**2 - 95*w + 578. Calculate the remainder when 587 is divided by g(-100).
41
Suppose 0 = 4*c + 2*d - 5546, -2*c - 5552 = -6*c + 4*d. Suppose 6*x + 445 = c. What is the remainder when x is divided by 53?
51
Let y = -157 + 85. Let i = y + 72. Calculate the remainder when 146 is divided by 19 - -19 - (i - 0).
32
Let q(n) = 8*n - 107. Let c be q(19). Calculate the remainder when 42 is divided by ((-328)/410)/((-92)/c + 2).
6
Let v be ((-62)/(-155))/((-1)/(-5)). Suppose -4*r + 11 = -9, 0 = -v*o - 3*r + 443. What is the remainder when o is divided by 5?
4
Suppose 182*i + 462 = 196*i. What is the remainder when i is divided by 8?
1
Suppose 23*p + 22*p - 405 = 0. Calculate the remainder when 16 is divided by p.
7
Suppose 4*z + 0 = -2*q + 14, 2*q = 2*z - 10. Suppose z*f + 17 - 57 = 2*o, -50 = -5*f + 2*o. Calculate the remainder when 35 is divided by f.
5
Suppose 1116 = -30*w + 9156. Suppose 3*p = -w + 1651. What is the remainder when p is divided by 42?
41
Suppose 194*u = -124*u + 68052. Calculate the remainder when u is divided by 194.
20
Suppose 2*v - 629 = -83. Calculate the remainder when v is divided by 66 + -1 + (26 - 22).
66
Calculate the remainder when 2803 is divided by 118636/380 + (3 - (-33)/(-15)).
299
Let o(s) = -21*s**2 + 11*s - 3. Let c be o(3). Let g = c + 173. What is the remainder when 206 is divided by g?
10
Let c(b) = 22*b**2 + 1. Let k be c(1). Let u = 34 - k. Let w(l) = 6*l - 5. What is the remainder when w(8) is divided by u?
10
Let d(u) = 258*u + 25. Let x = 962 + -905. What is the remainder when d(1) is divided by x?
55
Suppose -18*h - 2*h + 594 = 7*h. Calculate the remainder when 101 is divided by h.
13
Let h = 8 + -8. Suppose h = -m - m + 18. Suppose 28 = -2*t + c + 49, 5*t - 2*c = 54. What is the remainder when t is divided by m?
3
Suppose 0 = 4*w - w - 270. Suppose 0*l - 2*l = -w. Calculate the remainder when l is divided by ((-20)/(1520/(-171)))/((-39)/(-208)).
9
Let q = -293 - -533. Suppose -19*r + 14*r + q = 0. What is the remainder when r is divided by 34?
14
Suppose 2*w - 6231 = 3*r, 7*w + 163*r - 166*r - 21816 = 0. What is the remainder when w is divided by 240?
237
Suppose -2*n + 2*a = -a, -2 = -a. Let h(y) = -1. Let g(x) = -x + 8. Let p(s) = g(s) - 5*h(s). What is the remainder when 29 is divided by p(n)?
9
Suppose -27*s + 22*s = -35, 2*s = 3*v - 319. Calculate the remainder when 3003 is divided by v.
6
Suppose -3860 = 1236*b - 1256*b. Calculate the remainder when 631 is divided by b.
52
Let c(g) = -g**2 - 16*g + 268. Let a be c(-26). Let y = -167 - -294. Calculate the remainder when y is divided by (0 - -1) + a + 4.
10
Let u = -758 - -781. Calculate the remainder when u is divided by ((-18)/(-4))/(15/40).
11
Let l(u) = -6*u**3 + 2*u**2 + 6*u + 1. Let g be l(-7). Let m be (-1)/(-7) - g/105. Calculate the remainder when 9 is divided by 1*4*((-115)/m + -5).
0
Calculate the remainder when 29/4*((-2)/(-33) + 900250/10725) is divided by 87.
0
Suppose 4*b = 133 + 19. Calculate the remainder when 24058/106 - 104/(-2756) is divided by b.
37
Let r = 3980 - 3962. Suppose 5*y = 333 + 17. Calculate the remainder when y is divided by r.
16
Let i(m) = -10*m**2 + 42*m + 12. Let w be i(8). Let h = w - -325. Calculate the remainder when 86 is divided by h.
20
Let s = 19109 + -19062. Calculate the remainder when 1066 is divided by s.
32
What is the remainder when -1 + 0 + 1860 + -22 + 11 is divided by 17?
12
Let q(v) = 7987*v + 195. What is the remainder when q(2) is divided by 49?
48
Suppose 0 = -2453*z + 2455*z + 3*m - 204, -7*m = -3*z + 168. Calculate the remainder when z is divided by (-1)/3 + 176/6.
26
Let l = 7205 + -6570. Calculate the remainder when l is divided by 314.
7
What is the remainder when ((-2)/8*127)/(-28 + (-31340)/(-1120)) is divided by 128?
114
Suppose -3*i - 2*y = -8, 7*i = 2*i - 4*y + 10. What is the remainder when 343 is divided by i?
1
Suppose -x = -5*r + 69, -5*r + 97 = -2*x + 29. Let q = -7 - -35. What is the remainder when 1869/q - 2/(-8) is divided by r?
11
Suppose -50790 = -18*y - 29*y + 17*y. Calculate the remainder when y is divided by 53.
50
Let y(s) = 17*s + 107. Suppose -10*x + 27 = -53. Calculate the remainder when y(x) is divided by 64.
51
What is the remainder when 35/15 + (-1)/((-9)/4983) is divided by 80?
76
Suppose -46*w + 23 + 59 = -102. What is the remainder when 6577 is divided by w?
1
What is the remainder when 10096 - (13 - -3) - -15 is divided by 51?
48
Suppose 8*m - 2680 = -12*m. Calculate the remainder when 683 is divided by m.
13
Suppose -3*j + 192 = -24. Let u = -255 - -2. Let b = u - -273. Calculate the remainder when j is divided by b.
12
Suppose q - 14*q - 78 = 0. Let p be (q/4)/(24/(-64)). Let l(v) = 2*v**2 + 6*v - 6. What is the remainder when 98 is divided by l(p)?
48
Suppose 20*k = -14*k - 8*k + 54600. Calculate the remainder when k is divided by 3/((-9)/(-129)) - 1.
40
Let u(i) = -i**3 - 4*i**2 + 3*i - 1. Let c be u(-4). Let q = -207 - -186. Let h = c - q. What is the remainder when 15 is divided by h?
7
Let x(v) = -3*v**2 + 61*v - 10. What is the remainder when 1 - ((1 - 169) + 0) is divided by x(20)?
9
Suppose -58 = 138*w - 167*w. Calculate the remainder when 1229 is divided by w.
1
Let d(n) be the second derivative of n**4/12 + 11*n**3/6 - 7*n**2/2 + 78*n. Calculate the remainder when 41 is divided by d(-14).
6
Let d(n) = 47*n + 5110. What is the remainder when d(-96) is divided by 52?
26
Let s(h) = h**3 + 13*h**2 - 17*h - 48. Let i be s(-14). Let p(a) = 9*a + 2*a**2 + 0 - 2 + 2. What is the remainder when p(i) is divided by 3?
0
Let r = 167 + 170. Let q = 359 - r. Calculate the remainder when 99 is divided by q.
11
Suppose -3*u = 3*b - 0*b - 153, 295 = 5*u - 5*b. Calculate the remainder when u is divided by 136/6 + (-14)/21 + -8.
13
Let y be (15 - 15) + (0 - -2 - 5). Let r(z) = z**3 + 10*z**2 + 4*z - 10. Let w be r(-10). What is the remainder when 49 is divided by w/y*(-7)/(84/(-18))?
24
Let b(f) = 4*f**2 - 4*f + 3. Suppose 2 = 3*j - 4. Let o = 538 + -534. Calculate the remainder when b(j) is divided by o.
3
Suppose -3*u = d - 58, 3*u = 5*d - 172 - 208. Let l = d + -56. Calculate the remainder when 50 is divided by l.
16
Calculate the remainder when 4222 is divided by (39/15 + -2)*(-6380)/(-348).
9
Suppose -9*a = -0*a - 27. Suppose -9 = a*r, -3*b = -4*r + 7*r - 27. Let o = 58 - b. What is the remainder when o is divided by 7?
4
Let a(z) = 8*z + 45. Let s be a(-6). Calculate the remainder when ((-5226)/(-52))/(0 + s/(-4)) is divided by 25.
9
Let b(x) = 138*x + 2258. Calculate the remainder when 735 is divided by b(-15).
171
Suppose -o - 4*o = -2*f + 24, 17 = 3*f + 2*o. Suppose -f*b - 48 + 34 = 0. Calculate the remainder when 61 is divided by -24*(b/(-6))/(16/(-16)).
5
Let b = 531 + 34. Let w = -15825 + 15846. What is the remainder when b is divided by w?
19
Let y(n) = 3*n**3 - 6*n**2 - 8*n + 2. Let d be y(3). Suppose 4*k - 2*h - 36 = 2*h, -d*k = 3*h - 29. What is the remainder when 47 is divided by k?
5
Suppose -2*j - 212 = -216, -v + 195 = 2*j. Calculate the remainder when 2877 is divided by v.
12
Suppose -15*p = -20*p - 65*p + 1750. What is the remainder when 711 is divided by p?
11
Suppose -49*p + 344 = -1224. What is the remainder when 435 is divided by p?
19
Let g = 63 - 61. Calculate the remainder when (-4)/(-8)*178 + -3 is divided by g/(-4)*10 + 23.
14
Calculate the remainder when 4598 is divided by (24/24)/((-