d + 31. Suppose -a + 17 = -3*f, -4*a + 2*a = 8. What is the remainder when 15 is divided by q(f)?
5
What is the remainder when 450 is divided by ((-60)/105 - -2)/(57/28 - 2)?
10
Suppose -5*u = 2*a - 8002, -5*u - 4*a = -6104 - 1910. What is the remainder when u is divided by 50?
48
Let z = -3325 - -3977. Calculate the remainder when z is divided by 217.
1
Let v be 6/(((-42)/4)/(-7)). Calculate the remainder when 318 is divided by ((-16)/v)/(-1*(-5)/(-20)).
14
Suppose 2*f - 3*f = 4*m + 1178, -3*m - 2*f - 886 = 0. What is the remainder when (-2)/((-1170)/m + -4) is divided by 34?
30
Let o(t) = -t**3 - 80*t**2 - 827*t - 26. Calculate the remainder when 13991 is divided by o(-12).
105
Suppose -3*p = 5*l - 707 - 5099, l = -5*p + 9706. Suppose -13*q = -p - 3856. What is the remainder when q is divided by 75?
71
Let g = 42190 - 38007. What is the remainder when g is divided by 322?
319
Suppose -24*k + 1260 + 1404 = 0. Suppose 0 = -4*q + 3*z + k, q - 5*z = -6*z + 26. What is the remainder when q is divided by 10?
7
Let n = 1025 - 467. What is the remainder when n is divided by 40?
38
Let k = 33 - 43. Let g(d) = -2*d - 11. Let o be g(k). Suppose -3*t = -6*t + o. Calculate the remainder when 4 is divided by t.
1
Let i(k) be the second derivative of k**4/12 + 7*k**3/6 + 25*k**2 + 34*k. What is the remainder when 94 is divided by i(0)?
44
Let u be (1/(-2))/((-51)/204). Suppose u*t = -2*h + 46, -2*t = t + 3. What is the remainder when h is divided by 13?
11
Suppose a - 9*q + 4*q = 5, 0 = -a + q + 9. Suppose a*d - 4*y = 12*d - 638, -4*y = 0. What is the remainder when d is divided by 32?
31
Suppose 0 = -10*d + 13*d - 297. Suppose -2 = -x - 5*g + 32, 4*g - 86 = -5*x. Suppose -x = -h + 20. Calculate the remainder when d is divided by h.
31
Let c(q) = -2*q**2 + 34*q - 95. Let w be (-6)/(-2) + 1 + -1 + 9. Calculate the remainder when 174 is divided by c(w).
24
Calculate the remainder when 1 + 103/(-21) + 60/(-630) + 7155 is divided by 16.
15
Suppose 15*v + 480 = 63*v. Calculate the remainder when 8160/200 + 12/v is divided by 40.
2
Let m(d) = d**3 + 4*d**2 - 9*d - 9. Let g be m(-5). Suppose -g*k = -4*h - 6*k + 32, 5*k = -20. Calculate the remainder when 11 is divided by h.
2
Let x = 57 - 55. Suppose 5*r - 216 = -5*m - 76, x*r = m - 25. What is the remainder when m is divided by 15?
12
Suppose -5*j + 8*j - 27 = 0. Let c = 2159 + -2132. What is the remainder when c is divided by j?
0
Let h(k) = -7*k**2 + 8*k + 1. Let z be h(1). Calculate the remainder when 645 is divided by 15 - z/(-4)*18.
21
Let j(y) = 3*y**2 - 5*y + 8. Suppose -3*v - 2*h - 192 = -0*h, h + 313 = -5*v. Let d = 92 + v. What is the remainder when j(6) is divided by d?
26
Suppose 24 - 84 = -12*o. Suppose -4*u + l = -623, 0*u = -o*u + 4*l + 765. Calculate the remainder when u is divided by 32.
29
Let d(h) = h**2 - 13*h + 2. Let r be d(-9). Let n = r - 297. Let q = n - -107. Calculate the remainder when 15 is divided by q.
5
Let l(i) = -3*i**3 + 41*i**2 - i + 4. Calculate the remainder when l(12) is divided by 11.
8
Let y = 6 - 8. Let w(x) = -10*x**3 - 3*x**2 - 2*x - 1. Let v(g) = -g**2 - g + 19. What is the remainder when w(y) is divided by v(0)?
14
Let r(f) = f**2 + 34*f - 61. Let p be r(18). Let c be 0 - (0 - (-36)/(-2)). Calculate the remainder when (-4)/c + p/9 is divided by 33.
31
Let o = -16094 - -18707. What is the remainder when o is divided by 12?
9
Suppose -30*k + 15*k = -750. Calculate the remainder when 448 is divided by k.
48
Suppose -c - g = 364, 4*c = 3*g + 518 - 1981. Let f = -198 - c. Suppose 1402019 - 1401759 = 20*j. What is the remainder when f is divided by j?
11
Suppose -4*f = -3*t - 64, 2*f - 3*t - 8 = 18. Let l be 697 + (-42)/(-6) + -2. Suppose 0 = 5*i - l - 333. Calculate the remainder when i is divided by f.
17
Suppose 15 - 17 = w. What is the remainder when 7/(-21) - 362/(-6) is divided by 8/w*(-21)/4?
18
Let o be 7 - 2 - (-16)/(-4). Let a(i) = 569*i + 4. What is the remainder when a(o) is divided by 72?
69
Let j = -1587 - -1656. Calculate the remainder when 1516 is divided by j.
67
Suppose -37 = -5*a - 4*s + 1048, -859 = -4*a - 5*s. Let p be 152/(-26) + (-34)/a. Calculate the remainder when 21 is divided by p/8 + 245/28.
5
Let y(l) = -l**2 + 30*l - 139. Let p be y(17). Suppose -5*g - 5*k + 205 = 0, -7*g - p = -9*g + 2*k. What is the remainder when 98 is divided by g?
16
Let t = 266 - 158. Let r(d) = -d**2 + 15*d + 10. What is the remainder when t is divided by r(14)?
12
Let r(s) = -s**3 - 2*s**2 + 16*s - 12. Let u be r(-11). Calculate the remainder when u/11 - 45/(-495) is divided by 17.
14
Let w(f) = 5*f**2 - 4*f + 1. Let y(c) = -34*c - 19. Let g be -2*(42/18 - (-12)/(-9)). Calculate the remainder when w(-5) is divided by y(g).
48
Let z(f) = f**2 + 223*f + 4270. Calculate the remainder when z(-21) is divided by 15 + 0 + 0/4.
13
Calculate the remainder when 358 is divided by (38 - 1)*(-242 + 244).
62
Suppose -68*l + 3732 = 35*l - 10173. What is the remainder when l is divided by (-768)/(-56) - (-2)/7?
9
Let s be 15/(-10)*344/12*-25. Let w = s - 1059. Calculate the remainder when w is divided by -9*(1/3 - 1).
4
Suppose -30*w = -31*w - 6*l + 107, w = -3*l + 119. Calculate the remainder when 391 is divided by w.
129
Let n(i) = -16*i**3 - 4*i**2 - 3*i. Let f = -1716 - -1746. What is the remainder when n(-2) is divided by f?
28
Suppose -118*j + 269 = -1265. Calculate the remainder when 584 is divided by j.
12
Let q = -13 + 30. Suppose 5*g = -q + 162. Suppose 4*t = -3*l + 98 + g, 0 = t - 5*l - 26. Calculate the remainder when 89 is divided by t.
27
Let w = 31 + -27. Let o be (-20)/(2*w/(-16)). Suppose 0 = -k + o - 4. What is the remainder when k is divided by 10?
6
Suppose 0 = -17*x + 14*x + 390. Let s = x + -20. Let g = -84 + s. Calculate the remainder when 46 is divided by g.
20
Let i(h) = -7*h + 3*h - 19*h - 2 - 5*h. Let p be i(-5). Suppose 5*b - 272 = p. Calculate the remainder when b is divided by 29.
24
Suppose -3*b - 4*w + 925 = 0, 7*b - 3*w + 1245 = 11*b. Suppose -3*y = -216 - b. What is the remainder when y is divided by 90?
87
Suppose -195752 = -110*q + 40954 + 11454. Calculate the remainder when q is divided by 54.
42
Let j = -2708 - -2724. What is the remainder when 1*36 - (-4 + 3) is divided by j?
5
Let k = -2431 + 3146. What is the remainder when k is divided by 14?
1
Let v(t) = 2*t**2 - 11*t - 10. What is the remainder when v(-7) is divided by 33?
0
Suppose -3*a + 5*i = -42, 3*a - 2*i - 12 = -7*i. Suppose 0 = 5*d + a - 34. What is the remainder when 125 is divided by (28/6)/(176/(-36) + d)?
41
Let f = -35117 + 35128. Suppose 4*d = 2*d + 4*h + 122, 76 = d - 5*h. Calculate the remainder when d is divided by f.
7
Let d = 74 + -78. What is the remainder when 286 is divided by (-163)/d + 1/(-28)*-7?
40
What is the remainder when 28 is divided by (1*(2 + 1))/(2*3/54)?
1
Let n be (-2)/1*(-1243)/22. Suppose -n = -6*v + 571. Calculate the remainder when v is divided by 53.
8
Let h(o) = 12*o - 32. Let i(x) = -2*x + 27. Let a be i(21). Let g = 21 + a. What is the remainder when 117 is divided by h(g)?
37
Let d(o) = o - 132. Let m be d(27). Let i = m - -126. What is the remainder when 47 is divided by i?
5
Let l = -32 + 53. Let n(v) = -641*v + 2023. Calculate the remainder when n(3) is divided by l.
16
Calculate the remainder when 60 is divided by (28/(-42))/(3/27) - -7.
0
Let j(a) = -2*a**3 + 5*a**2 + 46*a + 170. What is the remainder when j(-6) is divided by 158?
32
Suppose 4*w - 2*w = 56. Let d(k) = 40 - w - 55 - 29*k. Calculate the remainder when d(-4) is divided by 27.
19
Let h(k) = -k**2 - 68*k - 275. Calculate the remainder when h(-22) is divided by 63.
44
Let g(y) = -y**3 + 10*y**2 + 56*y - 434. What is the remainder when 4513 is divided by g(7)?
103
Suppose 2*v + 0*a = a + 162, v - 2*a - 78 = 0. Let t(c) = 48*c + 10. Let k be t(2). Let d = 150 - k. Calculate the remainder when v is divided by d.
38
Let j(o) = 49*o**2 + 11*o - 2. What is the remainder when 229 is divided by j(1)?
55
Let w = -2 - -14. Suppose -46 = -17*i + 5. Suppose 4*g + 5*k = 112, 5*g = -i*k - 17 + 144. Calculate the remainder when g is divided by w.
11
Let g be (-2)/(-16) - (1131/24 + 4). Let y = g + 164. Suppose -3*z + w = -y, 14*z + 3*w - 105 = 11*z. Calculate the remainder when 147 is divided