is the remainder when q(-10) is divided by 347?
17
Let c = 3988 + -286. What is the remainder when c is divided by 95?
92
Let d be -1*(-2)/((-6)/(-15)). Suppose -33 = d*x - 93. Suppose -x = -g - 4*t, 4*g - 19 = t - 5. Calculate the remainder when 19 is divided by g.
3
Let y be (-9)/(-3)*70/42. Suppose 973 - 263 = y*s. What is the remainder when s is divided by 4?
2
Suppose -16*u = -6*u - 140. Suppose 0 = 32*x - 3 - 125. What is the remainder when u is divided by x?
2
Let q = -393 - -413. Suppose 0 = -q*p + 904 + 216. Calculate the remainder when 389 is divided by p.
53
Suppose -25461 = -21*k + 13172 - 1799. Calculate the remainder when k is divided by 870.
14
Let j = 16298 + -16248. What is the remainder when 1048 is divided by j?
48
Suppose -2*y + 5*y - 4*j - 36 = 0, 0 = -y - 4*j + 12. Suppose y*i - 224 + 68 = 0. Calculate the remainder when 48 is divided by i.
9
Suppose 0 = 5*q - 3*v - 218, -2*q = -23*v + 19*v - 90. Suppose 0 = -2*b - 3*b - 4*p + 1932, -5*p = 5*b - 1935. What is the remainder when b is divided by q?
40
Let c(j) = 4*j + 14. Let x(t) = 9*t + 28. Let i(r) = -5*c(r) + 2*x(r). Let s be i(-8). Suppose -12 + 62 = s*n. What is the remainder when n is divided by 9?
7
Suppose 0 = 2*l - x - 25, 4*l - 2*x - 65 = -5*x. Suppose 19*h - l*h - 340 = 0. Calculate the remainder when h is divided by 24.
20
Suppose 0 = 2*c - c + 4*c. Suppose 2*k - 2*p = -3 + 27, -3*k - 5*p + 44 = c. Let q = 49 + -45. What is the remainder when k is divided by q?
1
Let r be ((-2)/(-3))/((-8)/(-180)). Calculate the remainder when 19 is divided by (36/(-20))/(r/(-50)).
1
Let t(m) = 15*m + 6. Suppose -64 = 2*z + 2*z. Let c = z - -19. What is the remainder when t(c) is divided by 26?
25
Let r(z) = 136*z**2 + 124*z + 627. What is the remainder when r(-5) is divided by 3?
2
Let d(f) = f**2 + 28*f + 195. Suppose -50*x = -52*x + 670. What is the remainder when x is divided by d(-9)?
23
Let r = 46 - 43. Let d(i) = -15*i - 5. Let t(s) = -s. Let y(l) = r*t(l) + d(l). Calculate the remainder when y(-2) is divided by 16.
15
Suppose -4*y + x + 16575 = 0, -3*y = 2*x - 6967 - 5489. What is the remainder when y is divided by 67?
59
Suppose -22*s = -790 + 614. Let a(v) = -v**3 - 4*v**2 + v - 2. What is the remainder when a(-5) is divided by s?
2
Suppose -2*c - 12 = -3*b, 7*b + 4*c = 3*b - 4. Suppose 0 = 2*i + 5*v - 31 + 16, 51 = 3*i - b*v. Calculate the remainder when 29 is divided by i.
14
Let f(n) = 204*n - 209. What is the remainder when f(2) is divided by 180?
19
Let v(n) = n**3 - n + 113. Let s(o) = o**2 - o - 42. Let p be s(-6). Calculate the remainder when v(p) is divided by 5.
3
Let h(p) = -384*p + 131*p**2 + 1 + 194*p + 189*p. What is the remainder when h(1) is divided by 4?
3
Let p(v) = 22*v**3 - 2*v**2 + 1. Let f be p(-1). What is the remainder when 52 is divided by (25 + f)/((-2)/(-6))?
4
Suppose 9*u - 3756 - 1977 = 0. What is the remainder when u is divided by 28?
21
Let s(p) = p**3 - 19*p**2 - 16*p - 10. Suppose v + 14 - 6 = 3*q, -5*v + 2*q = -25. Let z(h) = 2*h + 10. What is the remainder when s(20) is divided by z(v)?
22
Suppose m - 4*m = 3*j - 159, 2*j = 2*m - 118. Calculate the remainder when m is divided by (-3 + -8)*(16 + -17).
1
Suppose x = -3, 7*h - 69 = 2*h - 2*x. Suppose -3*a + 5*w = 2*w - 168, -2*w = -7*a + 382. What is the remainder when a is divided by h?
9
Let u be 1*(-3)/((-6)/4). Let f(x) = u*x - 6*x + 3*x + 4*x - 21. What is the remainder when 9 is divided by f(8)?
0
What is the remainder when 23/((-575)/(-2730))*(-8 + 604/8) is divided by 97?
96
Let g = 6644 - 6630. Calculate the remainder when 2462 is divided by g.
12
Let q(v) = -v**3 - 9*v**2 + 6*v - 44. Let g be q(-11). Suppose 10*o - 16*o = -g. Calculate the remainder when o is divided by -1*(-17 - (4 + -7)).
8
Let q = 28 - 23. Suppose 0 = 2*r - 397 + 15. Let d = 205 - r. What is the remainder when d is divided by q?
4
Suppose -m - 608 = -569. Let j be 1 + -1 - (-38 - 2). Let k = m + j. Calculate the remainder when 6 is divided by k.
0
Let v(t) = 4*t**3 - 3*t + 5*t + 4 + 49 + t**2 - 5*t**3. What is the remainder when v(0) is divided by 28?
25
Suppose -3*i + 3*v + 61 = -2, 4*v + 48 = 2*i. What is the remainder when 6 + ((-405)/6)/45*36*-1 is divided by i?
6
What is the remainder when 10/150*290*12 is divided by 24?
16
Let n(u) = u**2 + 3*u + 1. Let d be (-10)/3*6/5. Suppose -k + 3*p = -31, 5*p - 7*p = -4*k + 134. Calculate the remainder when k is divided by n(d).
4
Let g(b) be the third derivative of -b**4/3 - 19*b**3/6 + 14*b**2. Let y be g(-2). What is the remainder when -8*(-5 + (-9)/y) is divided by 7?
2
Let d = 106 + 105. Let k = d + -124. Let n = k + -78. What is the remainder when 16 is divided by n?
7
Let n = 7462 + -6738. Calculate the remainder when n is divided by 75.
49
Let a(p) = p**3 + 17*p**2 + 30*p + 3. Let n be a(-15). Calculate the remainder when -1*n/6 - (-140)/8 is divided by 11.
6
Suppose -3*t - 274 = -2*k + 2*t, 4*k - 4*t - 536 = 0. Suppose -5*a + 1742 = 9*a + 12*a. Calculate the remainder when k is divided by a.
65
Let h(k) = 17*k + 227. Suppose -w + 3 = -1. Calculate the remainder when (-2)/w - 245/(-14) is divided by h(-13).
5
Let b(l) = -l**2 + 12*l - 27. Let c be b(3). Suppose c = -4*h - 0*h - 4*u + 120, -4*u = -2*h + 36. Calculate the remainder when 85 is divided by h.
7
Suppose -1177*o = -1201*o + 120. Calculate the remainder when 294 is divided by o.
4
Suppose 0 = -0*z - 4*z - 448. Let h = z + 84. Let x = h + 51. What is the remainder when x is divided by 12?
11
Let s be 2/4 - (-5)/(-10). Suppose 0 = 5*h - 0*h + u - 244, 0 = -2*h + 4*u + 80. Suppose s = -2*j - 4 + h. What is the remainder when j is divided by 8?
6
Let r be 96/(-51) - -2 - 4548/(-68). Suppose 2*q - 5*q = 4*v - 55, r = 5*v + 2*q. What is the remainder when 168 is divided by v?
12
Let p(x) = -x**2 - 15*x - 41. Let k be p(-11). Suppose 6*l = 5*r + 8*l - 18, k*r - l - 13 = 0. Calculate the remainder when r is divided by 4.
0
Calculate the remainder when -61*(1/(-4) - 3/4) is divided by 38.
23
Let s(x) = -7*x - 28. Let n be s(-4). Suppose 3*c - 62 = -q, n = -c + 2*c + 5*q - 30. What is the remainder when c is divided by 11?
9
Suppose 40*n = 41*n, -5*x + n + 10950 = 0. Let f = x - 1495. Calculate the remainder when f is divided by 87.
86
Let b(q) = 13*q**2 - 741*q + 18. Calculate the remainder when 165 is divided by b(57).
3
Let u be 14/119 + (-1103)/(-17). Let a(p) = -p**2 - 19*p + 2. Let t be a(-19). Suppose -t*d - 15 + u = 0. What is the remainder when 48 is divided by d?
23
Let f = -112 + 114. Suppose f*a + 3*r = 222, -a + 76 = -4*r - 24. Calculate the remainder when a is divided by 3*(32/(-6))/(-1).
12
Let n(i) = -i**2 - 115*i + 1753. Calculate the remainder when n(13) is divided by 87.
2
Calculate the remainder when 140 is divided by (-367)/(-3) + 1/(51/85).
16
Suppose -155*k - 264 = -243*k. What is the remainder when 14 is divided by k?
2
Let x(h) = 6*h**3 + 12*h**2 - 17*h - 1. Let k be x(8). Calculate the remainder when (-40)/(-380) - k/(-19) is divided by 26.
13
Suppose -8*y = -9*y + 12. Suppose 3*m - y = 114. Calculate the remainder when 87 is divided by m.
3
Let n = 14 + -11. Suppose 17 = 3*q - 4*q + n*w, -37 = 5*q + w. What is the remainder when (182/(-4))/(-2*(-2)/q) is divided by 23?
22
Suppose 20 + 51 = -3*r + 4*d, 2*d - 4 = 0. What is the remainder when 222 is divided by (42/r)/((-45)/(-23) + -2)?
38
Let v = 13304 + -13178. What is the remainder when v is divided by 23?
11
Suppose 5*v + 22 = 2*c, -c + 4*v = 3*c - 68. Let l = -5 + c. Suppose 27*n - 28*n + l = 0. Calculate the remainder when 50 is divided by n.
2
Let s = 197 + -67. Suppose 38*w - 19*w = 25*w - 42. Calculate the remainder when s is divided by w.
4
Suppose -101*c - 38*c = 29*c - 6048. Let x = 6 - 3. Suppose 6*o - 2*o + 3*r = 577, -2*o + 293 = x*r. Calculate the remainder when o is divided by c.
34
Suppose -2281 - 1102 - 360 = -19*b. What is the remainder when 208 is divided by b?
11
Let c = 108 + -49. Let p = 463 + -460. Suppose 2*u - 40 = 5*s, 8*u + p*s = 5*u + 18. What is the remainder when c is divided by u?
9
Suppose 9*i - 5*i = 100. Calculate the remainder when 61 is divided by (i - -7) + -3 - (-6)/2.
29
Let x(c) = -7*c - 78. Let b be x(-39). Suppose -t = 5*z - b, 3*t + 28 = 13. Calculate the remainder when z is divide