(x) is divided by 18.
17
Suppose 5*f + t - 96 = 0, 110 = 5*f - t + 6. Suppose -s = 3*i + 4, 3*i - 6 + f = 4*s. Let v(x) = 10*x - 4. Calculate the remainder when 59 is divided by v(s).
11
Let q(y) = -y**3 + 13*y**2 - 11*y - 10. Let l be q(12). Suppose l*r = -f + r + 22, -46 = -f + 5*r. Calculate the remainder when 77 is divided by f.
25
Suppose -4*y + 28 = -o, -4 = 5*o + 4*y + 136. Let d = o + 46. Calculate the remainder when ((-477)/d)/(1/(-6)) is divided by 9.
6
What is the remainder when 176 is divided by -4*1*(-870)/232?
11
Let h(p) = p**2 + 23*p + 1. Suppose 3*v + 5*b - 15 = 0, 0 = -2*v - 2*b - 0*b + 10. Let c be (v/3)/(2/(-30)). What is the remainder when h(c) is divided by 13?
12
Suppose 300*z - 329 = 299*z - 131. What is the remainder when z is divided by 172?
26
Calculate the remainder when 135 is divided by (-8)/(-32) + 1107/36.
11
Suppose 6*z + g = 8*z - 3095, -5*z + g = -7742. What is the remainder when z is divided by 47?
45
Let f be (-5)/((-50)/8)*30. Suppose 0 = -2*z - 3*p + f, 13 = z + 2*p - 0*p. Calculate the remainder when (-10)/(-4)*2028/130 - (7 + -2) is divided by z.
7
Let h be (-2 + 3)/((-2)/100). Let s = h + 55. Suppose -4*a + 108 = s*t - a, 22 = t + a. What is the remainder when t is divided by 9?
3
Suppose -27 = -5*d - 2. Calculate the remainder when (273/364)/(323/80 - 4) is divided by d.
0
Suppose 3*n = 29 - 5. Suppose -n*y + 6*y + 4 = 0. Suppose -3*t - 7 = o, -3*t - 2 = y*o - 3. What is the remainder when 29 is divided by o?
5
Let d be (231/14 - -1)*4/10. What is the remainder when (-92)/d*(56/(-16) - 0) is divided by 17?
12
Let w(j) = 7*j + 13. Let g = -7 + 10. Suppose -2*h = -4*h + 26. What is the remainder when w(g) is divided by h?
8
Suppose -v = -u - 25, u - 87 = -4*v + v. Suppose d - 758 + 7 = -4*y, -2*y + 3018 = 4*d. What is the remainder when d is divided by v?
27
Suppose -42*t + 209 = 83. Calculate the remainder when (6 - 96/18)*177 is divided by t.
1
Let w(f) = -f**3 + 27*f**2 - 28*f - 61. Let s be w(26). Let b = s + 123. Calculate the remainder when 218 is divided by b.
8
Suppose 4*g = -5*y + 227, 4*g = -0*g - 4*y + 228. Suppose 83 = 2*n - j, -3*j + g = n + 2*j. Calculate the remainder when n is divided by 5.
3
Let c(h) = -h**2 + 12*h - 20. Let j be c(6). Suppose 23*a = j*a + 518. What is the remainder when a is divided by 5?
4
Suppose 3*x + 997 = 1018. What is the remainder when 161 is divided by x?
0
Suppose -7*x + 6*t = 10*t - 4977, t + 7 = 0. What is the remainder when x is divided by 100?
15
Let g(y) = 2*y + 11 + 6*y**2 + y**2 + 2*y + y**3. Let z be g(-6). Suppose -3*x + z = -19. Calculate the remainder when 55 is divided by x.
13
Let z be (-2 - (-30)/9)/(6/99). Suppose -25*m = -z*m - 24. Calculate the remainder when 45 is divided by m.
5
Let q(g) = -g**2 + 33*g - 127. Let a be 8/(-36) + 3430/126. What is the remainder when 174 is divided by q(a)?
34
Let d(o) = 16*o**2 - 4*o - 5. Suppose 110*j - 107*j = -3. Calculate the remainder when 71 is divided by d(j).
11
Let q(w) be the second derivative of -w**4/12 - 5*w**3/2 - 14*w**2 - 11*w. Suppose 0 = f + 4*f - 265. What is the remainder when f is divided by q(-12)?
5
Suppose -2474 + 524 = 13*b. Let a = b + 170. What is the remainder when 49 is divided by a?
9
Let x be (-2210)/(-18) + 2/9. Suppose -12 = -5*i + x. Let t = 35482 - 35471. Calculate the remainder when i is divided by t.
5
Let o = 313 - 315. Let s(c) = -2*c**3 - 6*c**2 - 5*c - 3. Let r be s(-4). Let p = o + r. What is the remainder when p is divided by 13?
8
Suppose 0 = -3*t + 3*q + 341 + 2740, 2*t - q = 2059. Suppose -3*j - t = -11*j. Let k(o) = 4*o**2 - 2*o - 4. Calculate the remainder when j is divided by k(3).
25
Let n be -6 + (-270)/63 + 4/14. Let l = 54 + n. Calculate the remainder when l is divided by 15.
14
Let j be 5/(-4) + (-127)/4 - -2. Let o be (2/(-3))/((-3)/333). Let h = j + o. What is the remainder when h is divided by 15?
13
Suppose 534*o + 371*o = 127*o + 95694. What is the remainder when 626 is divided by o?
11
Suppose -5*p = 42*l - 44*l + 30, 5*l - 75 = 5*p. Calculate the remainder when 1270 is divided by l.
10
Let m = -275 + 299. Suppose 0 = -m*x + 29*x - 70. Calculate the remainder when 64 is divided by x.
8
Let r(o) = 6*o**3 - 3*o**2 - o - 3. Suppose -50*a - 176 = -54*a + 2*k, -3*k = 4*a - 176. What is the remainder when r(3) is divided by a?
41
Let v be (-80)/12 + 2/(-6). Let z(t) = 24*t**2 - 7*t + 1. What is the remainder when v - (-9)/3 - -55 is divided by z(1)?
15
Suppose -3*h - 47*f = -44*f - 336, 3*h - 3*f - 336 = 0. Suppose -63*t = -56*t - h. Calculate the remainder when 48 is divided by t.
0
Suppose -4*q + 4*z + 28 = -40, -5*q - z + 79 = 0. Let l = -121 - -207. Calculate the remainder when l is divided by (q/(-6) - 2/(-1))*-33.
20
Let x(f) = f**2 + f - 2. Let a be x(-2). Suppose a = -3*i + 21 - 27. What is the remainder when -1 + i + -2 - -44 is divided by 15?
9
Suppose 106 = -10*n + 536. What is the remainder when 229 is divided by n?
14
Suppose 2*u - d - 49 = 0, -u + 3*u + 4*d - 74 = 0. Suppose -503*z - 4*o = -498*z - 550, -3*o = -2*z + 197. Calculate the remainder when z is divided by u.
25
Let d(h) = 2*h**3 + 2*h**2 - 118*h - 12. Calculate the remainder when 933 is divided by d(-8).
33
Suppose 4436*k = 4*d + 4439*k - 10666, 3*d - 8012 = 4*k. Calculate the remainder when d is divided by 222.
4
Suppose 19*g - 92*g + 425 = -48*g. What is the remainder when 155 is divided by g?
2
Let d = -2 + 31. What is the remainder when 176/(-28)*(13 + -20) is divided by d?
15
Let h = -20989 + 21036. What is the remainder when 201 is divided by h?
13
Suppose 0 = -212*g + 214*g - 868. Suppose 399 + g = 17*m. What is the remainder when m is divided by 44?
5
Let q = -72 - -2371. Suppose -475 = 16*r - q. What is the remainder when r is divided by 108?
6
Suppose 12*k - 9 = 39. Suppose k*t - 20 = -t. Suppose -670 = -q - t*q. Calculate the remainder when q is divided by 34.
32
Let f = 6517 - 6237. Calculate the remainder when f is divided by 69.
4
Suppose -s + 7 = 7. Suppose s = 15*z + 79 - 409. Suppose 0*v + v - 7 = 0. What is the remainder when z is divided by v?
1
Let s(p) = p**3 + 5*p**2 - 2. Suppose 558131*i - 5157 = 558104*i. Calculate the remainder when i is divided by s(-3).
15
Suppose -6*d + 228 + 132 = 0. Suppose t - 4 = -0*t + g, 2 = t - 2*g. Calculate the remainder when t is divided by d/33 - (-6)/33.
0
Let p be (324/(-63) + 6)*7. Suppose 3*w + w - 72 = 0. What is the remainder when w is divided by ((-20)/p)/(615/(-1476))?
2
Let v = 7077 + -7061. What is the remainder when 280 is divided by v?
8
Let z = -251 + 279. Suppose z*l - 5*l = 2967. Calculate the remainder when l is divided by 65.
64
Suppose -6*i - 4*z = -450, 22*i = 19*i - 3*z + 222. Calculate the remainder when 482 is divided by i.
20
Suppose j + 5*q = 61 + 13, -4*j + 221 = 5*q. What is the remainder when 783 is divided by j?
48
Let h be (30756/(-99))/(2/3). Let l = 933 + h. Calculate the remainder when l is divided by 95.
87
Let a(f) = -f**3 + 5*f**2 - 2*f + 31. What is the remainder when a(-5) is divided by 12?
3
Let p = 619 - 492. What is the remainder when p is divided by 10?
7
Let u = -124 - -220. Suppose -3*a + 4 = 3*z - 2*a, -a = -4*z + 10. Suppose z*j - u = -3*p - p, 5*p - 123 = -j. What is the remainder when p is divided by 7?
4
Suppose 840 = -1760688*o + 1760723*o. What is the remainder when o is divided by -9*2*6/(-9)?
0
Let d be (308/(-42))/((1/3)/(-1)). Suppose -d*c + 20*c = -284. Calculate the remainder when c is divided by 39.
25
Let b = -30306 + 30508. Calculate the remainder when b is divided by 36.
22
Let a(w) = 1956*w**2 + 155*w + 301. Calculate the remainder when a(-2) is divided by 391.
386
Let v(f) = -2*f**2 + 46*f - 119. Let t = 35 + -23. What is the remainder when v(19) is divided by t?
9
Suppose -1 = -3*x + c, 2*x + x - 5 = 2*c. Let u be 70 + (3/(-3) - x). Suppose 0 = h - 5, -5*p = 3*h - 6*h - u. What is the remainder when p is divided by 4?
1
Suppose 0 = 29*w - 37*w + 360. Calculate the remainder when 5/(w/513) - -2 is divided by 12.
11
Let z = 119 - 40. What is the remainder when z is divided by (172/(-2))/((-18)/3)*3?
36
Let u(o) = -36*o + 118. Calculate the remainder when ((-114)/(-3 - 3))/((-1)/(-7)) is divided by u(2).
41
Let c(s) = -2*s**3 - 16*s**2 + 12*s - 11. Let b be c(-10)