pose 0 = 6*t - 7*t + 14. What is the remainder when p is divided by t?
10
Suppose 36 = 5*z - 3*z - 2*s, 4*z - s = 69. Suppose -q + 2*o + 37 = 0, -2*q + 50 = -30*o + 32*o. What is the remainder when q is divided by -2 - z*(1 + -2)?
14
Suppose -15 = -3*s, -19 = 2*f + s - 4. What is the remainder when (-3519)/(-27) - f/6 is divided by 27?
24
What is the remainder when (0 - -13)*-1 - -4808 is divided by 39?
37
Let l(m) = 38*m**3 + 27*m**2 - 63*m + 4. Calculate the remainder when l(2) is divided by 15.
5
What is the remainder when (-6)/(-16) + 21/(3360/96580) is divided by 140?
44
Let j = -11182 + 11311. What is the remainder when 1167 is divided by j?
6
Let g(i) = -i**3 - 17*i**2 + 14*i + 111. Calculate the remainder when g(-18) is divided by 183.
0
Let g(u) be the first derivative of 8*u**3/3 - 5*u**2 + u - 4. Calculate the remainder when g(3) is divided by 18.
7
Calculate the remainder when ((-6)/(-12 - -6))/(10/20610) is divided by 172.
169
Calculate the remainder when 396 is divided by (-640)/20*(-6 - -2).
12
Let v(s) = s**3 + 8*s**2 - 3*s - 15. Let n be v(-8). What is the remainder when n + -4 + 23 - -1*5 is divided by 13?
7
Suppose w - 1560 = -4*w. Suppose 5*f - 3*f - w = -4*i, 0 = -4*i - 3*f + 314. Let u = -2520 + 2540. Calculate the remainder when i is divided by u.
17
Let w(h) = -7*h + 26. Let q be w(-12). Let n = q - 41. Calculate the remainder when n is divided by 15.
9
Let v = -2104 + 2144. Calculate the remainder when 410 is divided by v.
10
Let i = -2154 + 2293. Calculate the remainder when 555 is divided by i.
138
Suppose 9*s = -2*w + 4*s + 34, 5*s - 13 = w. Suppose -c = -w*c + 36. Suppose -125 = -c*l + l. What is the remainder when 123 is divided by l?
23
Suppose 7*w + 10 = 2*w, -4*w = -2*r + 186. What is the remainder when r is divided by -250*(-23)/(-12 - -242)?
14
Let n = -476 + 1389. What is the remainder when n is divided by 300?
13
Suppose 9 = -b + 139. Suppose 0 = -9*f - 399 + 462. What is the remainder when b is divided by f?
4
Suppose 789 = 8*i + 693. What is the remainder when 1314 is divided by i?
6
Suppose 2*u - 293 = -t, 16*t + 592 = 4*u + 20*t. Calculate the remainder when u is divided by 12.
1
Let g = -82 - -84. What is the remainder when 45 is divided by 4/g*(-833)/(-98)?
11
Let o = 5177 + -3214. What is the remainder when o is divided by 652?
7
Suppose -2*c + 14 = 2*o, -4*o - 8 = -4*c - c. Suppose -y = 5*z - 146, -2*y = -36*z + 31*z + 143. What is the remainder when 2/o + (-498)/(-9) is divided by z?
27
Suppose 6*k = 114 + 330. Let f(g) = g**3 - 15*g**2 + 4*g - 7. Let q be f(15). Let y = 72 - q. What is the remainder when k is divided by y?
17
Suppose 270 - 2986 = 420*n - 422*n. Calculate the remainder when n is divided by 44.
38
Suppose -51*i + 840 = 4*m - 47*i, -2*m + 5*i = -420. Calculate the remainder when 1442 is divided by m.
182
Let i be (34/(-4))/(14/(-168)). Let t = 180 - i. Let x = t + -55. Calculate the remainder when x is divided by 6.
5
Let y = 12554 - 12436. What is the remainder when 4716 is divided by y?
114
Let d(k) be the third derivative of 11*k**5/60 + k**4/12 + k**3/2 + 105*k**2. Calculate the remainder when d(3) is divided by 22.
20
Let p(o) = -14*o**2 - 286*o + 20. What is the remainder when 2471 is divided by p(-6)?
7
Suppose -8*k = -3*k - 260. Let y(o) = 2*o**3 - 31*o**2 + 17*o - 19. Calculate the remainder when k is divided by y(15).
8
Suppose 1622 = 225*r - 55*r - 758. What is the remainder when 11168 is divided by r?
10
Let z(l) = -l**2 + 16*l - 56. Let w be z(10). Suppose 3*t + 91 = 2*c - 85, w*t = -2*c + 204. Calculate the remainder when c is divided by 32.
30
Let y(s) = s**3 - 29*s**2 - 43*s - 23. Let u be y(31). Suppose -558*t + u*t = 40. Calculate the remainder when 43 is divided by t.
3
Suppose -r - 5*p + 130 = 0, 64*r = 60*r - p + 672. What is the remainder when 222 is divided by r?
52
Let k = -3456 + 3483. Calculate the remainder when 446 is divided by k.
14
Suppose 23*s - 27 = 19. Suppose -3*x = -5*r - s, -r - 1 + 19 = 4*x. What is the remainder when 55 is divided by x?
3
Let y(o) = 12*o - 197. Let f be y(19). Suppose 0 = 7*p + f - 178. What is the remainder when p is divided by 32/6*3/2?
5
Let o = 25231 - 23811. What is the remainder when o is divided by 465?
25
Suppose 4*k + 7 - 59 = 0. Suppose -5*c - 3*o + 350 = -k, -4*o + 284 = 4*c. Suppose -5*u + 0 = -c. What is the remainder when 57 is divided by u?
12
Let t(q) = 222*q - 1159. Suppose -s + 5*s = -5*n + 71, -2*s = 5*n - 43. Calculate the remainder when t(9) is divided by s.
13
Let r be (8 + -9)/((-68)/32 - -2). Suppose 3*i = y + 40, -r*i + 10*i - 2*y - 28 = 0. Calculate the remainder when 184 is divided by i.
2
Suppose -d + 4 + 91 = 0. Calculate the remainder when 195 + (29 - (66 - 26)) is divided by d.
89
Let z(m) = -7*m**2 - 7*m. Let a(k) = -13*k**2 - 14*k + 1. Let q(l) = -4*a(l) + 7*z(l). Calculate the remainder when q(-5) is divided by 8.
4
Suppose 2*a + 3*f = 4*f + 6, 0 = 3*f + 6. Calculate the remainder when 25 is divided by (4 + 81/18)*a.
8
Let x(v) = v**2 + 9*v - 10. Let i be x(-12). Let r = 1677 - 1673. Suppose 62 = r*m - i. What is the remainder when 102 is divided by m?
14
Let r(c) = -1272*c + 5632. What is the remainder when r(4) is divided by 42?
40
Let v(o) = -o**3 + 4*o**2 + 5*o - 6. Let f be v(5). Let h = 406179 - 406148. Calculate the remainder when h is divided by 62/6 - 4/f.
9
Let a(p) = p**3 - 2*p - 55. Let i be a(0). Let o = i - -76. Calculate the remainder when o is divided by 1/(3 - (-17)/(-6)).
3
Suppose 24*v - 26*v = -5*f - 116, 0 = 3*f. What is the remainder when 692 is divided by v?
54
Suppose 3*a + 187 = 4*q - 155, 5*q = 2*a + 417. What is the remainder when q is divided by 52?
29
Let k = 14 - -4. Let v(z) = 6*z + 191. Let j be v(-31). Suppose 5*f - 79 + 14 = -3*c, -30 = -j*f + 4*c. What is the remainder when k is divided by f?
8
Let w = -1737 + 2046. What is the remainder when w is divided by 45?
39
Let f(h) = -3*h**3 - 27*h**2 + 22*h - 22. Calculate the remainder when f(-10) is divided by ((-580)/(-16) - 4) + 1/(-4).
26
Let m(p) = 3*p**2 + p - 17. Suppose 0 = -2*d - 8, -5*d = 2*o - 2*d - 42. Calculate the remainder when m(5) is divided by o.
9
Let g = -198 + 330. Let r(y) = -8*y**2 - 102*y - 26. What is the remainder when g is divided by r(-12)?
40
Suppose 37*x + 630 = 58*x. Calculate the remainder when x is divided by (1 - -2)*(19 - 13).
12
Suppose -109*o - 121*o + 172664 = -4*o. Calculate the remainder when o is divided by 48.
44
Let s = -14537 - -14549. What is the remainder when 174 is divided by s?
6
Let q(i) = i**3 - 3*i**2 + 3*i - 4. Let s be q(6). Let a = -82 + s. Calculate the remainder when 112 is divided by a.
32
Suppose 5*f + 11 = 4*y + 316, -2*f + 2 = 0. Let h = 129 + y. What is the remainder when h is divided by 19?
16
Let x be 820/(-123)*-1*24/(-10). Let n(i) = -i - 4. Calculate the remainder when (-4 + (-15)/(-5))*-19 is divided by n(x).
7
Suppose -2*i + 0*a - 24 = a, -5*i - 3*a - 60 = 0. What is the remainder when 2/(-8) - 531/i is divided by (-4)/(-8)*0 - (-10)/2?
4
Calculate the remainder when 88/11 + (120 - 16) is divided by 65.
47
Let q be ((-176)/(-220) - 1/(-5)) + -195. Let f = 420 + q. Calculate the remainder when f is divided by 58.
52
Let u(x) = x**3 + 8*x**2 - 6*x + 1. Suppose -80 = -2*y + 7*i - 5*i, 129 = 3*y - 4*i. Calculate the remainder when u(-7) is divided by y.
30
Let f(j) = 7*j**2 - 17*j - 139. Calculate the remainder when 2085 is divided by f(8).
9
Let z = -95 - -90. What is the remainder when 160 is divided by 1 - (-2 - (z + 6))?
0
Let c(j) = 13*j - 1003. Calculate the remainder when 690 is divided by c(78).
8
Let v(r) = 3*r + 47. Let a be v(-6). Suppose -2*y + 63 - a = 0. Calculate the remainder when 31 is divided by y.
14
Let m(z) = 41*z + 2748. Calculate the remainder when 2 is divided by m(-67).
0
Suppose 0 = -28*a + 34906 + 17846. What is the remainder when a is divided by 145?
144
Suppose 4*u - 6*u = 4*m - 78, -u = 3*m - 59. Let x = -224 - -341. Suppose -26*r + 29*r - x = 0. What is the remainder when r is divided by m?
19
Suppose 5*r = 2*j - 90 - 50, -5*r = -20. Let q be 14/8 + (-65)/(-260). Suppose q*f = -4*a - 2*f + j, f = -3. Calculate the remainder when a is divided by 7.
2
Let h(x) = 43*x**3 + 6*x**2 + 50*x - 203. Calculate the remainder whe