 the remainder when (c/9)/(-1) - 16/(-6) is divided by t?
1
Let t(q) = 47*q**3 + q**2 - q. Suppose 184*w - 96*w - 12936 = 0. Calculate the remainder when w is divided by t(1).
6
Suppose -23617 + 7063 = -24*k + 7182. What is the remainder when k is divided by 252?
233
Suppose 4*g - 12 = 0, -4*w - 2443*g + 2439*g = -756. Calculate the remainder when w is divided by 30.
6
Suppose -2*y + 5*g + 64 = 0, 2*g - 115 = -3*y - 0*g. Let q = y - 19. Calculate the remainder when q is divided by (-110)/10*(-3)/3.
7
Suppose -2*x = 3*g + 191, -8*x + 10*x = g + 69. Let b = 49 - g. Suppose 0 = -110*t + b*t - 28. What is the remainder when 15 is divided by t?
1
Let g(r) = 2*r**2 - 2*r - 5. Let y(u) = 147*u + 5606. Calculate the remainder when g(-4) is divided by y(-38).
15
Let c be -2 - (-220)/33*21/2. Suppose c*v + 125 = 73*v. Calculate the remainder when 222 is divided by v.
22
Suppose -5*b + 7*b - 16 = 0. What is the remainder when 34 is divided by 162/b - 255/(-340)?
13
Let d(u) = 11*u**3 - 10*u**2 + 30*u - 1. Calculate the remainder when d(2) is divided by 55.
52
Let n = 851 + -580. Let o = -270 + n. Calculate the remainder when 3 is divided by o.
0
Let b(q) = -51*q - 1 - 21 + 47*q. What is the remainder when 148 is divided by b(-13)?
28
Suppose -4*q - 11*a + 811 = -16*a, -4*q + 4*a + 808 = 0. Calculate the remainder when q is divided by -1 + 4 + 434/14.
29
Suppose 8*i - 16 = -0*i. Suppose i*f = -2*s + 36, f + 19 + 14 = 2*s. Let b = s + -1. What is the remainder when 60 is divided by b?
12
Suppose -5*f + 4*q = 0, -f + 4*q = -0*q. Suppose f = 7*v + 49 - 14. Let y(u) = -u**3 - 4*u**2 + u + 9. Calculate the remainder when y(v) is divided by 17.
12
Suppose 33*j + 52*j - 19040 = 0. Calculate the remainder when j is divided by 43.
9
Let m = 47 - 23. Suppose -9*n = -m - 30. Let w(x) = 13*x - 14. Calculate the remainder when w(5) is divided by n.
3
Let x(z) = -18*z**2 + 390*z + 23. What is the remainder when x(14) is divided by 282?
263
Let s(o) = 2*o**2 - 5*o + 17. Let d be (5/3 - 1) + 8614/219. Suppose d - 110 = -14*t. Calculate the remainder when 122 is divided by s(t).
38
Suppose 217 = 5*o + 72. Let a be ((-5)/(-5))/((-1)/3) - 57. Let p = a - -115. Calculate the remainder when p is divided by o.
26
Let m be -2*(-1)/6 + 184356/(-486). Let z = m - -397. What is the remainder when 250 is divided by z?
16
Let c = -929 - -1009. Calculate the remainder when 550 is divided by c.
70
Let v(f) = f**2 - 20*f + 42. Let a(m) = -m**2 + 19*m - 41. Let r(j) = 3*a(j) + 4*v(j). What is the remainder when 6 is divided by r(21)?
0
Suppose -4*w = -5*f + 47 + 75, f = 3*w + 31. Let s(g) = -10 + 29*g - 42*g + 23*g + 42*g**2. What is the remainder when s(1) is divided by f?
20
Let t be (-24)/(-84) - (-60)/(-14). Suppose -4*r + 2*r + 212 = 0. What is the remainder when r is divided by 186*(-16)/128*t/3?
13
Suppose 4*s - 8*m = -3*m - 496, m = s + 124. What is the remainder when -2*s/24*3 is divided by 11?
9
Let w be 16/20*10/4. Suppose 3*c - 4*n + 4 = -w, n - 5 = -c. Suppose -14 = 97*u - 104*u. Calculate the remainder when u is divided by c.
0
Let o(a) be the first derivative of -7 - a**2 + 1/4*a**4 + 5/3*a**3 + a. What is the remainder when 41 is divided by o(-5)?
8
Let n(x) = 32*x + 4958. What is the remainder when n(-90) is divided by 95?
83
Suppose 620*u - 594*u = 442. What is the remainder when 2209 is divided by u?
16
Let i = 18698 + -18375. What is the remainder when i is divided by 116?
91
Let p = 719 + -734. Calculate the remainder when 541 is divided by p/75 + -1 + 528/15.
31
Let h(p) = 58*p**2 + 113*p + 1. Let b be h(-7). Suppose b = 40*x + 612. What is the remainder when 100 is divided by x?
28
Suppose -6747 = -5*q + 3*g, -111*q + 3*g - 1371 = -112*q. What is the remainder when q is divided by 339?
336
Let c(b) = -b**2 - 18*b. Let s be c(-13). Let j = s + -37. What is the remainder when ((-141)/12)/((-7)/j) is divided by 6?
5
Let y(f) be the first derivative of f**4/4 - 5*f**3/3 + 8*f**2 - 53*f + 14. What is the remainder when y(6) is divided by 43?
36
Suppose 14803 + 3177 = 58*t. What is the remainder when t is divided by 97?
19
Calculate the remainder when 1250 is divided by -8*62/3*279/(-186).
10
Suppose 0 = -90*j - 93*j + 175*j + 1824. Calculate the remainder when j is divided by 108.
12
Suppose -191 = -5*j + 409. Suppose j*x - 105 = 113*x. Calculate the remainder when 149 is divided by x.
14
Let p = -12 + 52. Suppose -5*b = -b - p. Suppose -7*f + 48 = -6*f. Calculate the remainder when f is divided by b.
8
Suppose -10*f + 13*f = -1428. Let t = -379 - f. Calculate the remainder when t is divided by 23.
5
Suppose -56 = 6*c - 20*c. Suppose 18 = -3*b + 3*k, -c*k + 2 = -2*b - 16. What is the remainder when 8/(24/(-261))*2/b is divided by 16?
10
Suppose 6*x + u = 8688, 0 = x - u - 543 - 912. What is the remainder when x is divided by 25?
24
Suppose 38*u + 92 = -22*u - 32*u. Let r(l) = 6*l**2 - 4*l + 3. Let i be r(2). Let a = u + i. What is the remainder when 69 is divided by a?
15
Suppose -199*w + 12863 = 2515. Suppose 5*x - 24 = 2*x. What is the remainder when w is divided by x?
4
Suppose 38 = 5*n - 3*u - 62, 3*n - 89 = -4*u. Calculate the remainder when 530 is divided by n.
1
Let w(l) = 9*l**2 + l + 2. Let v be w(-4). Let d be (-38)/(-57)*(v/(-4) + 1). Let g = d - -42. What is the remainder when g is divided by 15?
4
Let p = 31377 - 29567. What is the remainder when 3622 is divided by p?
2
Suppose 12*m - 177 = -167 + 290. Suppose u = 5*u. Suppose u = c - 2*c + 14. What is the remainder when m is divided by c?
11
Calculate the remainder when 55 is divided by (7 - 2)/((8/8*-1)/(-5)).
5
Suppose 4*a + 0*a = -12. Let o = 27 + a. Let r(t) = -7296*t + 7339. What is the remainder when r(1) is divided by o?
19
Let h = 168 + -148. Suppose i - h = -4*i, 3*i + 193 = 5*u. What is the remainder when 80 is divided by u?
39
Let f(k) = -115*k**3 + 3*k**2 + 6*k - 60. What is the remainder when f(-4) is divided by 74?
72
What is the remainder when 241 is divided by (-5)/(-5) + 955*(-7)/(-35)?
49
Let z be (-4)/(-6)*39 + (7 - 3). Let p(h) = -5*h. Let s be p(-2). Let v = z - s. Calculate the remainder when 77 is divided by v.
17
Let c(z) = 75*z + 1355. Calculate the remainder when 312 is divided by c(-18).
2
What is the remainder when (7*(-12)/(-140))/(1/(-5)) + 11621 is divided by 14?
12
Let a(q) be the third derivative of -q**5/60 - 17*q**4/24 - 43*q**3/6 + q**2. Let n = 21765 + -21776. What is the remainder when a(n) is divided by 9?
5
Suppose -14 = 5*b + 1, -2*b - 816 = 3*r. Let v = r + 277. Suppose -2*p + 4*o = -64, -4*p - 24 = -3*o - 152. What is the remainder when p is divided by v?
4
Let f(b) = -b**3 + 6*b**2 - 9*b + 19. Let y be f(7). Let z = y + 95. Calculate the remainder when 50 is divided by z + -4 - (-6 + 3 - 17).
14
Let o(n) = -n**3 + 30*n**2 + 22*n - 29. What is the remainder when o(30) is divided by 103?
13
Calculate the remainder when 3045 is divided by 599 + -1 + (0 - 12) + 22.
5
Suppose 0*l = 4*l - 100. Let a = l - 22. Let m = -330 + 343. What is the remainder when m is divided by a?
1
Suppose f - 1940 = -3*f. Suppose -5*b - 4*w + 140 = 0, -5*b = -0*w - 4*w - 100. Calculate the remainder when 2*(-1 - f/(-10)) is divided by b.
23
Suppose -9*m = -2*m + 273. Let r = m + -176. Let k = -89 - r. Calculate the remainder when k is divided by 43.
40
Let x be 6/4 - (-15 - (-175)/14). Suppose -2*r + 5*r = -x*k + 125, 0 = -r + 5*k + 29. What is the remainder when 387 is divided by r?
36
Let r = 2329 - 2209. What is the remainder when 130 is divided by r?
10
Let z = -9618 + 9663. Calculate the remainder when 24028 is divided by z.
43
Let n(r) = 34*r**2 + 83*r + 6. What is the remainder when 7180 is divided by n(-3)?
61
Suppose 350*n - 542*n = -67392. Calculate the remainder when n is divided by 229.
122
Suppose -50 = 4*g - 126. Suppose -3*j - 3*s + 24 = 0, 9*j + 2*s = 6*j + 21. What is the remainder when j + (-4 - (-89 + 0 + 0)) is divided by g?
14
What is the remainder when 298 is divided by 10/1 + 26 + -16?
18
Let i = -5 + 11. Let v be (-5)/(-30) - (2 + 123/(-18)). Suppose 3*l = -3*m + 38 - 23, v*l + 15 = 3*m. Calculate the remainder when i is divided by m.
1
Let v(q) = -5*q**3 - 8*q**2 - 8*q - 11. Calculate the remainder when 3626 is divided by v(-2).
12
Let p(g) = -3*g**3 - 91*g**2