 Let b be f(-1). Calculate the remainder when 19 is divided by 5/(210/b) - 6/(-21).
1
What is the remainder when 397 is divided by (1 - -18 - 6)*7?
33
Let f(p) = p**3 + 2*p**2 + 5*p + 8. What is the remainder when 2046 is divided by f(0)?
6
What is the remainder when 715 is divided by ((-1281)/(-61)*4/(-5))/(3/(-10))?
43
Let g be -4 + (5 - (-67 - 5)). Suppose 1 - g = -q. Calculate the remainder when q is divided by 27.
18
Suppose -8*q + 366 - 126 = 0. Suppose 0 = q*h - 56*h + 2444. Let i = 12 + 2. Calculate the remainder when h is divided by i.
10
Let d be 2/(-7) - (360/(-35) + 5). Suppose 2 = -h + 4*w + w, -d*h + 74 = -4*w. What is the remainder when (-149)/(-3) + 4/(-6) is divided by h?
13
Suppose -48030 - 147825 = -33*g. Calculate the remainder when g is divided by 28.
27
Let x(n) = -141*n + 135. Calculate the remainder when 571 is divided by x(-1).
19
Suppose -13*s + 11*s - 3*b = -603, -4*b - 1156 = -4*s. Suppose 7*u - s = -147. What is the remainder when 39 is divided by u?
18
Calculate the remainder when 390 is divided by 0/277 - 34/(-2).
16
Let b = 7302 - 6885. What is the remainder when b is divided by 135?
12
Let r = 3364 + -3210. What is the remainder when r is divided by 6 + 0 + -2 - -2?
4
Suppose 2*c - 46 = -4*r + 60, 5*r + 2*c = 131. Suppose 20 = y + 4*y + 5*a, -5*y = 4*a - r. What is the remainder when 33 is divided by y?
6
Suppose -l + f = -23 - 0, 5*f = -2*l + 46. Suppose 16 = 3*a + 2*y, -6*a - 32 = -9*a + 2*y. Calculate the remainder when l is divided by a.
7
Let h = 76 + -59. Suppose -h*c + 158 = -998. What is the remainder when 336 is divided by c?
64
Suppose -4*g = -5*n + 3348, 4*g - g = -n - 2511. What is the remainder when 659 is divided by (-6)/(3 + (g/30)/9)?
59
Suppose 1820 = -43*b + 108*b. Calculate the remainder when 34 is divided by b.
6
Let j(d) = 5*d**2 + 110*d - 51. Suppose w + w - 26 = 0. Calculate the remainder when j(-23) is divided by w.
12
Let c(s) = -119*s - 90. Calculate the remainder when 2200 is divided by c(-1).
25
Suppose -36*m + 24 = -32*m. Calculate the remainder when ((-98)/(-35) + m)*10 is divided by (-2)/2*1*-23.
19
Calculate the remainder when 501 is divided by 4 - (-5)/((1 - 2) + 7 + -5).
6
Suppose -813*s + 2640 = -758*s. Calculate the remainder when 97 is divided by s.
1
Suppose 0 = 4*d + 2 - 70. Suppose -20*y = -d*y + 159. Let o = y + 57. What is the remainder when 22 is divided by o?
2
Suppose 4*y + 317 = -4*g + 1337, 4*y + 3*g = 1016. What is the remainder when 817 is divided by y?
64
Suppose 5*m = -39*q + 44*q + 2170, 4*m - 1766 = -q. Calculate the remainder when m is divided by 49.
48
Let q(s) be the first derivative of -s**2/2 - 10*s + 53. What is the remainder when 14 is divided by q(-14)?
2
Let f = 12603 - 12371. Calculate the remainder when f is divided by 39.
37
Let t = -174 - -180. Calculate the remainder when (-4)/10 + (-27)/(-5) + 1 is divided by t.
0
Let i(h) = 64*h**2 - 2*h - 1. What is the remainder when i(-1) is divided by (-94)/(-10) + 1 + (-2595)/(-4325)?
10
Suppose 0 = -4*y - 5*j + 126 + 106, 3*y = 2*j + 151. Let d = 8 + y. Calculate the remainder when d is divided by -4 - (-1 - 8) - -3.
5
Suppose -4*o = -3*q - 46, q - 3*o = 4*q + 18. What is the remainder when 50 is divided by (q - -9)/((-6)/42)?
1
Let v be 0/(((-6)/(-15))/((-7)/(-35))). Suppose -5*c + 9*c + 4*o = 40, 5*o = v. What is the remainder when 184 is divided by c?
4
Let v(f) = -5*f + 346. Calculate the remainder when (-156)/2*2/(-3) is divided by v(66).
4
Suppose 0 = -23743*h + 23736*h + 21. What is the remainder when 6161 is divided by h?
2
Let o(m) be the first derivative of -27 + 1/2*m**2 - 5*m - 1/4*m**4 + 7/3*m**3. What is the remainder when o(7) is divided by 2?
0
Suppose o - 14 = -o. Let x be (1/(-9)*0)/(1*-1). Calculate the remainder when o is divided by 3/(x + 3) - -3.
3
Let j = 23983 - 20649. Calculate the remainder when 3342 is divided by j.
8
Suppose -223 = -5*a + 3*c, -5*a + 257*c - 258*c = -179. Suppose -3*u + 60 = 4*y, -22 = -u - 0*y - 2*y. Calculate the remainder when a is divided by u.
6
Suppose -5*a - 3 + 23 = 0, -5*v - 2*a = -43. Suppose v*f = 3 + 18. Suppose -70 = -3*c + 4*j - 6, c - f*j = 18. Calculate the remainder when c is divided by 8.
0
Let f(a) = 2*a - 7. Let g be 28/21 - (-38)/3. Let v be f(g). Let o = 35 - v. What is the remainder when 67 is divided by o?
11
Suppose -5*v = -6*v + 5*l + 145, 4*v = l + 504. Suppose -v*x + 104 = -117*x. Calculate the remainder when 101 is divided by x.
10
Suppose -89*c - 503 = -3*s - 88*c, -5*c - 523 = -3*s. What is the remainder when 11284 is divided by s?
162
Let o = 15769 - 15589. What is the remainder when 4678 is divided by o?
178
Suppose -95189 - 74798 = -178*z - 19755. What is the remainder when z is divided by 7?
4
Let l(p) = 4*p**2 - 101*p + 1269. Calculate the remainder when l(22) is divided by 478.
27
Let r(g) = 72*g + 65*g - 128*g - 5. What is the remainder when 9 is divided by r(1)?
1
Suppose 0*c = 23*c - 575. Suppose -13*n + 7*n = 0. Suppose u + 1 + 0 = 0, n = -3*b + 5*u + 185. Calculate the remainder when b is divided by c.
10
Let v(c) = -6*c + 18 + 31*c - c**3 - 13*c - 5*c + 2*c**3 - 6*c**2. Calculate the remainder when v(9) is divided by 25.
24
Suppose -2*v + 4 = -v, 0 = -4*a + 3*v + 92. Suppose -2*c = 4*y - a - 6, 2*y = 4. Calculate the remainder when 40 is divided by c.
4
Let n = 207 + -209. What is the remainder when (-1)/(n + -2)*20*4 is divided by 9?
2
Let f(u) = u**3 - 21*u**2 - 41*u + 451. What is the remainder when 528 is divided by f(22)?
0
Suppose 2160 + 21552 = 19*w. Suppose -1906 = -38*r + w. Calculate the remainder when r is divided by 76.
7
Let o(x) = 264*x + 1093. What is the remainder when 1440 is divided by o(-4)?
34
Let t = 3697 - 2902. Calculate the remainder when t is divided by 89.
83
Let c(a) = -a**2 - 153*a + 3510. Calculate the remainder when c(20) is divided by 40.
10
Let l(r) = 12*r**2 + 21*r + 47. Let s be -4 + (-4)/2 - (4 + -6). What is the remainder when l(s) is divided by 33?
23
Suppose 40*v + 3334 = 44*v + 5*y, -856 = -v - 5*y. What is the remainder when v is divided by 6?
4
Let l be (166/8)/((-220)/32 - -7). Let g = -54 + l. Calculate the remainder when g is divided by 38.
36
Let n(s) = s**3 + s**2 + 167. Suppose 0 = 141*o - 11707 + 3811. What is the remainder when n(0) is divided by o?
55
Suppose 0 = -198*u + 152*u + 239890. What is the remainder when u is divided by 20?
15
Suppose -49713*i - 42648 = -49737*i. What is the remainder when i is divided by 26?
9
Suppose -9*u + 1444 = -5*u. Suppose -449 = 6*p + u. What is the remainder when (-9)/18 - p/2 is divided by 34?
33
Suppose 0 = 4*r - 10*r + 12. Let u(h) = 7*h**3 + 6*h - 5. Let y = 48 + -26. Calculate the remainder when u(r) is divided by y.
19
Let w(d) = d**3 - 9*d**2 + 6*d - 7. Let c be w(8). Let j = c + 47. What is the remainder when 42 is divided by j?
18
Suppose -4*j + 3*h = -207, -6*j = -3*h - 192 - 111. What is the remainder when 288 is divided by j?
0
Suppose 68*r - 66*r - 5*b = 18228, 3*r - 2*b - 27331 = 0. What is the remainder when r is divided by 134?
131
Suppose -j - 2*j = -93. Let f(y) = 3*y**2 + y + 1. Let w be f(-1). Suppose -61 = 10*k - 15*k - 2*l, 20 = k + w*l. What is the remainder when j is divided by k?
9
Suppose 4200 = 2*u - 2*g, -5586 - 696 = -3*u + g. Calculate the remainder when u is divided by 8.
3
Suppose 0 = 2*c + 5*z - 531, 9*c - 5*c = -3*z + 1083. What is the remainder when c is divided by 82?
27
Suppose 17 = 66*p - 65*p + j, -4*j + 51 = 3*p. Calculate the remainder when 85 is divided by p.
0
Let q = 595 - 490. What is the remainder when 256 is divided by q?
46
Let n be ((-81)/18)/(2/(18 - -2)). Let j be 12/15 - 99/n. Suppose j*t + 5*k - 6 - 7 = 0, -2*k + 28 = 5*t. Calculate the remainder when 28 is divided by t.
4
Let z be (216/(-48))/(6/8*-1). What is the remainder when z + (10 - 1) - -2 is divided by 6?
5
Let z(i) = -i**3 + 38*i**2 + 54*i - 132. Let k be z(39). Let b = 475 - k. What is the remainder when 88 is divided by b?
0
Suppose -16*f = -11*f - 290. Suppose 38 = 3*x - f. What is the remainder when 91 is divided by x?
27
Let k = 458 - 458. Suppose -517 = -5*n - a, -5*n + k*n + 519 = 2*a. Suppose 25 = 5*r, t + 0*t - 36 = -3*r. Calculate the remainder when n is divided by t.
19
Let s = -39496 + 40797. Calculate th