1
Calculate the remainder when 8 - (61/61)/((-1)/271) is divided by 66.
15
Let y(n) = n**3 - n**2 - n + 1. Let s(z) = 8*z**3 - 7*z**2 - 4*z + 6. Let i(d) = s(d) - 4*y(d). Calculate the remainder when 15 is divided by i(1).
0
Suppose 422 = 5*a - w - 213, -5*w = -3*a + 403. What is the remainder when a is divided by ((-2392)/130 - -34)*((-10)/3)/(-2)?
22
Let f = -146 - -157. Suppose 111*w - 1281 - 8265 = 0. What is the remainder when w is divided by f?
9
Let p = 41755 - 41619. What is the remainder when 1658 is divided by p?
26
Suppose 11*x - 368 = 1103 - 162. Calculate the remainder when 1424 is divided by x.
115
Suppose 2*x = 2*r - 34, -5*r + 101 = -0*x - x. What is the remainder when (7 - 64596/(-120)) + ((-21)/(-30) - 1) is divided by r?
20
Suppose 0 = 43*m + 32 - 421 - 428. Calculate the remainder when 196 is divided by m.
6
What is the remainder when 127 is divided by -3 - (9 + -3) - -124?
12
Suppose -212*m = -192*m - 1420. Calculate the remainder when 83 is divided by m.
12
Suppose 22177 = 60*g - 10746 - 86117. Calculate the remainder when g is divided by 45.
4
Let z = 538 + 356. What is the remainder when 501 is divided by z/42 - 4/14?
18
Let s(t) = -4*t**3 - 75*t**2 - 47*t + 137. Calculate the remainder when (-2)/9 + 281/9 is divided by s(-18).
9
Suppose -14616 = -3*v - 3*r, 0 = 5*v + 3*r - r - 24369. Suppose 19*c = -6*c + v. What is the remainder when c is divided by 22?
19
Suppose -5*n + a = -17, -n + 11 = -2*n + 5*a. Suppose 6*d - 4*d - 924 = 0. Suppose -n*o + d = 3*o. What is the remainder when o is divided by 23?
20
Suppose 106*q - 635088 = 5*q - 30*q. What is the remainder when q is divided by 180?
168
Let h(w) = 33*w - 131. Let b be h(9). Suppose -3*p - 2*p = 4*x - b, -5*x + 4*p = -228. Calculate the remainder when x is divided by 30.
14
Let w = -326 - -346. Let l be 9/6*(-246)/(-9). Let a = 45 - l. Calculate the remainder when w is divided by a.
0
Suppose -4*v + 8 = 3*l, -3*v - l + 5 = -6. Let y(m) = m**2 + 28*m - 112. Suppose 0 = 4*r - 6*r + 18. Calculate the remainder when y(v) is divided by r.
8
Let b(s) = s**3 + 130*s**2 + 380*s - 77. Calculate the remainder when b(-127) is divided by 1.
0
Let r(b) = 23*b. Suppose 9*z + 4*z - 972 = 952. Calculate the remainder when z is divided by r(1).
10
Suppose 4*r - 12 = 0, 127*r - 471 = -4*n + 122*r. Calculate the remainder when n is divided by 31.
21
Let h(t) = -908*t - 10855. Calculate the remainder when (0 - 1)/((-2)/178) is divided by h(-12).
7
Suppose -12*d + 155*d - 119977 = 0. What is the remainder when d is divided by (75/(-10))/(9/(-24))?
19
Let o(y) = 2*y**2 + 2*y - 2. Let a = -4284 + 4291. Calculate the remainder when o(-4) is divided by a.
1
Let w(m) = 8*m + 1. Let z(v) = 6*v + 2. Let i(t) = -4*w(t) + 5*z(t). Calculate the remainder when 84 is divided by i(-14).
16
Suppose -l = 3, 2*t + t + 2*l = 3. What is the remainder when (32/24)/(t/171) is divided by 25?
1
Suppose -4*j - m + 84 = 0, 5*j + 4*m - 225 = -120. What is the remainder when -2 - (-217 + 5 + 2) is divided by j?
19
Let i(f) = 3*f**2 - 2*f + 4. Let b = 916 - 813. What is the remainder when b is divided by i(2)?
7
Let m be -12*4/16*-1. Let r(y) = 4*y + 0*y**2 + 5*y**2 + y**2 - 2*y**2 - 4. What is the remainder when r(m) is divided by 16?
12
Let b = -73 - -110. Let c = 93 - b. Suppose 49*d - 48*d = c. Calculate the remainder when d is divided by 19.
18
Let r(i) = -3*i + 33. Let w be r(10). Let j be 1 - (-2 + w/3*1). Suppose j*z - 4 = 14. Calculate the remainder when 33 is divided by z.
6
What is the remainder when 568 is divided by ((-9)/30)/(24/40) - 63/(-2)?
10
Suppose 37*q = -102*q - 13*q + 1672. What is the remainder when 222 is divided by q?
2
Let y be 53445/40 - (50/16 - 3). What is the remainder when (y/32)/(1 - (-6)/(-8)) is divided by 57?
53
Let m be (-36)/19 + 1 + (-63)/57. What is the remainder when 15 is divided by m/((-12)/114) + -5?
1
Suppose -211 + 508 = 11*b. Let g(u) = -14*u - u + 4*u - 9 + 2*u. Calculate the remainder when g(-8) is divided by b.
9
Suppose 3*a + 4*t = 131, -a - 2*a + 115 = -4*t. Suppose a + 281 = 14*z. Calculate the remainder when 66 is divided by z.
20
Let w(n) be the first derivative of -n**2/2 - 8*n - 33. Let x be w(-13). Suppose 0 = -x*o + o + 176. Calculate the remainder when o is divided by 6.
2
Let c = 2302 + -2278. Calculate the remainder when 765 is divided by c.
21
Suppose -4*n - 4*r = -1720, -1462 - 260 = -4*n - 2*r. Calculate the remainder when n is divided by 420.
11
Let b be 642/4*(-48)/72. What is the remainder when (b/(-2))/((-7)/(-28)*2) is divided by 37?
33
Suppose m + 32 = f - 3*m, -m - 26 = -f. Let y(v) = -45*v + 1241. What is the remainder when y(25) is divided by f?
20
Let y be ((-12)/7)/(4/(-98)). Let v = y + -13. Suppose -x - 2*x = -4*j - 18, -3*x + 18 = -3*j. What is the remainder when v is divided by x?
5
What is the remainder when -14*18/(-1890) - (-31676)/30 is divided by 187?
121
Let l(i) be the first derivative of 20*i**3/3 - i**2/2 + 1. What is the remainder when (14282/(-8106))/(3/(-63)) is divided by l(-1)?
16
Let l = -1 - -2. Let n(r) = -3 + 532*r + 534*r - 1529*r + 528*r. Calculate the remainder when n(l) is divided by 17.
11
Let y = 2201 + -2186. Suppose -5*x = -4*p - 0*p + 772, -2*p + 386 = -3*x. What is the remainder when p is divided by y?
13
Suppose 50*s - 14235 = -2*s + 20657. Calculate the remainder when s is divided by 60.
11
Suppose 18*l - 2026 = 10016. Suppose 0 = -3*m + 115 + 110. Suppose 4*j - m = l. What is the remainder when j is divided by 47?
45
Let k(j) = 274*j**2 + 37*j - 1. Calculate the remainder when k(1) is divided by 15.
10
Suppose 232*s - 387595 - 473135 = -177722. Calculate the remainder when s is divided by 27.
1
Let p = -18 + 131. Let t = p + -118. What is the remainder when t + -43*5/(-5) is divided by 20?
18
Let s = -197 - -199. Suppose -s*h + 84 = -y + 11, -5*y = 3*h - 116. Calculate the remainder when h is divided by 21.
16
Let f = -2213 - -2367. What is the remainder when 456 is divided by f?
148
Let y be 186/(-21) - ((-124)/14 - -9). Let b(j) = 4*j + 189. What is the remainder when b(y) is divided by 79/3 + (-2)/6?
23
Suppose -19*l + 65744 = 21*l - 12*l. What is the remainder when l is divided by 112?
108
Let l(d) = d**3 - 3*d**2 + d + 178. What is the remainder when l(0) is divided by 29?
4
Let n = 45 - -11. Suppose -73 = -2*o + 5*z, -5*o + 25*z + 151 = 23*z. What is the remainder when n is divided by o?
27
Let s(x) = x**3 - 16*x**2 + 18*x - 26. Let f be s(15). Let b = 19 - f. What is the remainder when (b - 6)*(-5 + 122/(-4)) is divided by 43?
41
Let r(k) = -3. Let n(c) = 13*c - 45. Let v(h) = -n(h) + 4*r(h). Calculate the remainder when v(-7) is divided by 25.
24
Suppose 54 + 41 = 19*j. Calculate the remainder when 21 is divided by 5 - 6/j*-5.
10
Let h(i) = 604*i - 553. Calculate the remainder when 242 is divided by h(1).
38
Let w(f) = -f**3 - 7*f**2 - 8*f + 1. Suppose -3*n = 3*c + 294, -4*n - 397 = -0*n + 3*c. Let u = 204 + n. Calculate the remainder when u is divided by w(-6).
10
Suppose -2*r - 3*b + 528 = b, -4*b + 8 = 0. Suppose 8*m = 5*m - k + r, k = 2*m - 175. What is the remainder when m is divided by 45?
42
What is the remainder when 1175 is divided by 6/57 + ((-3130)/(-95))/(2/4)?
53
Let w(y) = 62*y + 251. Calculate the remainder when 1136 is divided by w(-2).
120
Let i be (-126)/(-33) - (-1)/33*6. Suppose -4*f = -2*w - 1030, 2*f - 4*w + 520 = i*f. Calculate the remainder when f is divided by 19.
11
Let h(z) = -z**3 + 18*z**2 - 15*z - 37. Let k be h(17). Calculate the remainder when k*(-1590)/18 + -5 is divided by 29.
28
Let p(h) = 10*h - 3. Suppose -4*n - 3*k = -90, 2*k + 94 = 4*n + 3*k. Suppose 0 = 34*g - n*g - 80. Calculate the remainder when p(2) is divided by g.
1
Let g(k) = -2*k**2 + 30*k + 4. Suppose 33 = 3*l + 3*y, 3*l + 2*y = -0*l + 34. What is the remainder when g(l) is divided by 26?
24
Let u(a) = -9*a - 51. Let s be u(-6). Suppose -3*z = -5*h + 20, -5*h + s*z = 4*z - 20. What is the remainder when 12 is divided by h?
0
Let z = -14 + 35. Suppose 2*u = -3*f - 3 - z, -4*f + 2*u = 18. Calculate the remainder when 193 is divided by (8 - 5)/(f/(-56)).
25
Let s(b) = -12*b + 81. Let j be s(13). Calculate the remainder when 1/(2 + (-92)/44)*j is divided by 46.
43
Suppose -3*l = -4*r - 1802, -r - 