r when o(m) is divided by 54.
51
Let q = -303 - -808. Let a = -417 + q. What is the remainder when a is divided by 34?
20
Suppose 4*n = n + 5*u + 123, u = -n + 41. Let c(r) = -3*r**3 - 14*r - 61. Let w be c(-4). Suppose -w = 2*i - 235. What is the remainder when n is divided by i?
17
Suppose 942*q = 929*q + 86333. Calculate the remainder when q is divided by 70.
61
Calculate the remainder when 152 is divided by -2*(-8 + (-13)/(-26)).
2
Suppose -1046*x + 1050*x = 244. What is the remainder when 98 is divided by x?
37
Suppose -9*o - 1 = 44. What is the remainder when 9 is divided by (-3 - -8)*(-5)/o?
4
Suppose 0 = -z - 10*z + 3003. Let o = -178 + z. Calculate the remainder when o is divided by 24.
23
Suppose 3*z + 10114 + 10236 = 113*z. Calculate the remainder when 919 is divided by z.
179
Let c = -1701 + 1757. What is the remainder when c is divided by 25?
6
Suppose 95*b - 42*b + 152 = 57*b. Calculate the remainder when 14780 is divided by b.
36
Suppose 2*v - 2*w = 2*w - 194, 0 = -2*w + 6. Let p = v - -91. Suppose p = -2*c + 26 + 2. What is the remainder when 18 is divided by c?
4
Let w = -64464 - -64569. Suppose 0 = -4*a + 85 + 23. What is the remainder when w is divided by a?
24
Let a = 37 + -20. Suppose -a = b - 84. Let n = b - 58. Calculate the remainder when n is divided by 3.
0
Let b = -32085 + 33263. What is the remainder when b is divided by 386?
20
Let a = -160 + 345. Let k = 199 - a. Calculate the remainder when 124 is divided by k.
12
Suppose 5*g - 2*f = 799, -g + 473 = 2*f + 294. Calculate the remainder when 1144 is divided by g.
3
Let f(u) = 157*u + 75. Let d be f(-5). What is the remainder when (0 - 0 - -21)*d/(-213) is divided by 37?
33
Let g(a) be the third derivative of a**6/120 + 4*a**5/15 + a**4/12 + 47*a**3/6 - 27*a**2. Calculate the remainder when 47 is divided by g(-16).
2
Let c = -9 - -19. Suppose -5*r - 565 = 50. Let x = r - -140. Calculate the remainder when x is divided by c.
7
Suppose 24*g + 24*g - 12672 = 0. Calculate the remainder when g is divided by 30.
24
Suppose 3*g - 3*o - 48 = 0, -7*g + 2*g + 90 = -3*o. What is the remainder when 2490 is divided by g?
12
Suppose 149*i - 1362 = -5*f + 150*i, 3*f - i = 818. What is the remainder when 948 is divided by f?
132
Let w be (6/5)/((-1)/(-5)). Suppose 0*a + w*a = 366. What is the remainder when a is divided by 21?
19
Let g = 3760 + -3650. What is the remainder when g is divided by 45?
20
Suppose 6289*n = 6304*n - 285. Calculate the remainder when 78 is divided by n.
2
Suppose 2*y - 292 = -2*c, -759 = c + 2*y - 897. What is the remainder when 433 is divided by c?
125
Suppose -12*a + 29*a = 69 + 339. Calculate the remainder when 522 is divided by a.
18
Let u(v) = 5*v**3 - 10*v**2 - 34*v - 47. What is the remainder when u(9) is divided by 18?
16
Suppose 79*c + 102*c - 463 = 1166. Calculate the remainder when ((-4)/(-4) - -411)*1 is divided by c.
7
Let l(v) = v**2 - 25*v + 140. Let q be l(8). Suppose 2*z + 3*z - 2*u - 58 = 0, q*u = 4*z - 56. Calculate the remainder when 808 is divided by z.
8
Let x(l) = 13*l**2 - 19*l**2 - 53 + l + 4*l**2. Let t be x(0). Let f = t - -62. Calculate the remainder when 39 is divided by f.
3
Let h = 10552 - 10500. Calculate the remainder when 630 is divided by h.
6
Suppose -3*v - 24 = -9*v. Let n(o) = 21*o. Let q be n(2). Let w = q + -33. Calculate the remainder when w is divided by v.
1
Suppose -144*b = -130*b - 924. What is the remainder when 193 is divided by b?
61
Let q(d) = -11*d - 5. Let r = -104 - 148. Let h = 368 + r. What is the remainder when h is divided by q(-2)?
14
Let a = 769 - 135. Calculate the remainder when a is divided by 127.
126
Suppose 1323 = 570*d - 423*d. What is the remainder when 466 is divided by d?
7
Let m(k) = -k**3 + 34*k**2 - 119*k - 1. What is the remainder when 872 is divided by m(30)?
2
Let n(s) = -2*s**3 + 10*s**2 + 10*s + 12. Let a be n(6). Suppose -31*z + 30*z + 249 = a. Calculate the remainder when z is divided by 18.
15
Suppose -2*w - 2*l = w - 18, -4*l = 0. Let b be 2*(15/w)/1. Suppose y = -b*y + 72. Calculate the remainder when 33 is divided by y.
9
Let k = -16274 - -19047. Calculate the remainder when k is divided by 139.
132
Let a(x) be the first derivative of 2*x**3/3 - 3*x**2/2 + 27. Let c be a(3). Calculate the remainder when ((-6)/c)/(2/(-9)) + 54 is divided by 10.
7
Suppose -5*c + 67 = 3*y, 0 = 3*y + 14*c - 18*c - 22. What is the remainder when 32057 is divided by y?
11
Let n be ((-1611)/6)/((-15)/40). Suppose n = -15*h + 19*h. Suppose 0 = 10*u - 611 - h. What is the remainder when u is divided by 20?
19
Suppose -4*s - h = -19776 + 4438, -3*s - h + 11504 = 0. Calculate the remainder when s is divided by 1910.
14
Let c = 112 + -105. Suppose -147 = -4*r - c. What is the remainder when r is divided by (2/(-2))/(9/(-36))?
3
Let f(p) = 50*p - 4 - 48*p - 24. Let i be f(-12). Calculate the remainder when 37 is divided by (12/(-8))/(6/i).
11
Let l(v) = 85*v**3 - 2*v**2 - v + 4. Suppose -2*k - 5*o = 45, 5*o - 3*o = -4*k - 82. Let y = 49 + k. Calculate the remainder when l(1) is divided by y.
28
Let y(f) = 14*f**3 + 1. Let j be (11*(-4)/(-110))/((-2)/(-2490)). Suppose -778 = -22*b + j. What is the remainder when b is divided by y(1)?
13
Let j(f) = -11*f - 47. Calculate the remainder when j(-46) is divided by 53.
35
Let y = -56 + 167. Suppose 0 = -a + 29*x - 27*x + 1, 0 = 4*x - 8. Suppose 0 = -5*d, a + 51 = 2*v + 2*d. What is the remainder when y is divided by v?
27
Suppose -3*i - 890 = -v, -7559 - 2045 = -11*v + 2*i. Calculate the remainder when v is divided by 36.
8
Let b = -317 - -359. Calculate the remainder when 19 is divided by 28/b - (-2 + (-20)/(-12)).
0
Let y be -270*((-8)/24)/((-2)/(-6)). What is the remainder when 74 is divided by ((-5)/(-10))/(5/y)?
20
Let j = -80 - -80. Suppose j = 2*p + 9 - 17. Calculate the remainder when 31 is divided by (-21 - -37)*2/p.
7
Let f be (5 - 13) + -1 + 1. Let c = -6 - -26. Let z = c - f. Calculate the remainder when 53 is divided by z.
25
Let o(b) = 26*b**2 - 29*b + 66. Calculate the remainder when 122 is divided by o(2).
10
What is the remainder when ((-56)/5 + 7)*(-70)/6 is divided by 25?
24
Let v = -28903 - -28917. What is the remainder when 2625 is divided by v?
7
Suppose 4*n = 3*x - 117, 3*x - 138 = 256*n - 259*n. Calculate the remainder when x is divided by 9.
7
Suppose 4*w - 248 = 4*a, 40*w - a = 43*w - 186. What is the remainder when 135 is divided by w?
11
Suppose -59*t + 52*t = 0. Suppose 4*n + 6*a = 10*a + 168, 2*n + 2*a - 92 = t. Let m(y) = 132*y**2 - y. What is the remainder when m(1) is divided by n?
43
Let t = -687 + 686. Suppose 0 = 2*n + 2, 4*c - 4*n - 17 = 11. Calculate the remainder when 2 is divided by t/(4/(-10)) - c/12.
0
Suppose 0 = -18*z + 4648 + 3539 + 255. What is the remainder when 1784 is divided by z?
377
Let o(m) = -m**3 - 32*m**2 - 3*m + 30. Let s be o(-32). Let p = s + -110. What is the remainder when p is divided by 6?
4
Calculate the remainder when 3981 is divided by 66/(-418) + (-125890)/(-95).
6
Let b(k) = -2*k**3 + 173*k**2 + 710*k - 3. Calculate the remainder when 2806 is divided by b(-4).
50
Let c(f) = -23*f + 3183. Calculate the remainder when 1323 is divided by c(135).
75
Let a(v) = -v**3 + 8*v**2 + v + 3. Let x be a(7). Suppose 12*s + 1645 = x*s. What is the remainder when s is divided by 6?
5
Let x = -95 + 179. Let h be -4 + 5 + 0/2 - -4. Suppose q + 4*g - 24 = -3, 0 = 3*q + h*g - 77. Calculate the remainder when x is divided by q.
26
Suppose 0*u + 42 = b + 4*u, 4*b = -3*u + 233. What is the remainder when (-255)/(-14 - -31)*164/(-20) is divided by b?
61
Let p = 13 - -61. Let r(o) = 7*o**2 - 148*o + 311. What is the remainder when p is divided by r(19)?
22
Let d(z) = 0*z - 14 - 6*z**2 + 1 + 3*z + z**3. Let q be d(6). Suppose k + q*a = -3, -a = 5*k + 3*a - 69. Calculate the remainder when k is divided by 7.
3
Let c(k) = 263*k - 127*k + 0*k**2 + 121 - 135*k - k**2. Calculate the remainder when 161 is divided by c(-10).
7
Let y = 24548 + -24544. What is the remainder when 214 is divided by y?
2
Suppose 3*x = 2*c - c + 142, 3*c = 3*x - 138. Suppose 953*l + 13236 - 62264 = 94875. What is the remainder when l is divided by x?
7
Let s(p) = -7*p**3 - 7*p**2 + 29*p - 45. Calculate the remainder when s(-8) is divided by 16.
11