remainder when p(r) is divided by 15.
11
Let o = -30948 - -36704. Calculate the remainder when o is divided by 72.
68
Suppose -6*w + 35 + 121 = 0. Let q(a) = 9*a - 18*a + 10*a + 1. Calculate the remainder when w is divided by q(7).
2
Suppose -2986 + 1378 = -9*s + 8400. What is the remainder when s is divided by 367?
11
Suppose -8*c = -7*c - 24. Let k = -537 - -655. What is the remainder when k is divided by c?
22
Suppose 11*g - 949 = -62*g. What is the remainder when 225 is divided by g?
4
Let y = -115 + 124. What is the remainder when 1/((14/6)/7) + 20 is divided by y?
5
Suppose 0 = -x - 2*w + 105, -5*w = -19*x + 22*x - 320. Suppose -1 + 48 = i. Calculate the remainder when x is divided by i.
21
Let o(d) = -d**2 - 11*d + 4. Let r be o(-6). Suppose 2*v = -5*s + 9, -31*v + 36*v - r = -s. Calculate the remainder when 53 is divided by v.
4
Suppose 5*r + 8 = -g + 31, 0 = g + r - 11. Let w(o) = 5*o - 7. Let y be w(g). Let d = -26 + y. What is the remainder when 67 is divided by d?
4
Suppose -2*a + 4*g = -520, -a + 2*g + 1028 = 3*a. Suppose a = -10*t + 1276. Calculate the remainder when t is divided by 15.
12
Let u = -229 - -625. What is the remainder when u is divided by 48?
12
Let q(r) = -19 - 2 + 14*r - 10*r + 3. What is the remainder when q(14) is divided by (14/3)/(1/3)?
10
Let m(o) = 2*o**2 - 20*o - 9. Let d = 606 + -591. What is the remainder when m(d) is divided by 16?
13
Let m be (5/(-3) + 1)*-126. Suppose 0*j + 4*j = m. Let v = 377692 - 377610. What is the remainder when v is divided by j?
19
Suppose 0 = 32*o + 7*o - 12285. Let f = 345 - o. Calculate the remainder when f is divided by 10.
0
Let d be (-78)/90 + (-2)/15. Let u be -2*d/((-3)/(-111)). Suppose u = -3*z + 236. Calculate the remainder when z is divided by 14.
12
Let s be ((-1476)/16)/9*4. What is the remainder when (-9)/(-15) - 24/15 - s is divided by 22?
18
Suppose 5*s = -3*m + 216, 5*s - 347 = -2*m - 128. Suppose 0 = 24*d - s*d + 1869. What is the remainder when d is divided by 45?
44
Let p(y) = y**2 - 14*y + 30. Let x be 2 + -11 + -2 + 2. Calculate the remainder when p(12) is divided by (-20)/(-6)*x/(-6).
1
Let l(g) = g**3 + 2*g**2 - 11*g + 31. Let x be l(-5). Let w(m) = m**2 - 17*m + 125. Calculate the remainder when 233 is divided by w(x).
56
Let k = -2325 - -4300. What is the remainder when k is divided by 104?
103
Calculate the remainder when ((-606)/9)/((-10)/15) is divided by 12.
5
Let l = -4056 - -4286. What is the remainder when l is divided by 26?
22
Suppose 4 = 5*k + 5*g - 6, 4*k - 5*g - 17 = 0. Suppose -k*a + 75 - 24 = 0. Calculate the remainder when (38/(-4) - -2)/((-62)/1116) is divided by a.
16
Let i = -159 + 169. Let y(f) = f**2 - 9*f + 9. What is the remainder when y(i) is divided by 11?
8
Let p = -9141 - -9170. Let j be 7*12/(-1 + -2). What is the remainder when p is divided by 7/2*(-32)/j?
1
Let s(n) = 10*n**3 + 82*n - 520. Calculate the remainder when s(6) is divided by 11.
9
Let q be ((-9 - -4)/(-20))/(2/24). Suppose -17 = q*g - 5*g + 5*w, w = -3*g - 17. What is the remainder when 53 is divided by g/3*(-105)/10?
11
Suppose -f + 3*l = -51, -67 = -f - 5*l + 4*l. Let w = -34 - -40. Suppose w*c = c + 65. Calculate the remainder when f is divided by c.
11
Let j be 1/6 + 28456/48. Suppose -j = -x - 589. Calculate the remainder when 14 is divided by x.
2
Let d(h) be the first derivative of h**4/4 + 4*h**3/3 + h**2/2 + 7*h + 1. Let v be (-294)/56 - 5/(-4). Calculate the remainder when 4 is divided by d(v).
1
Let u = 14385 + -14225. Calculate the remainder when u is divided by 14.
6
Let v(h) = 5*h + 261. Calculate the remainder when (-110 + -1)*2/(-6) is divided by v(-50).
4
Let t = 40 - -14. Suppose 2*m - t = -m. Calculate the remainder when 21 is divided by 8/(-6)*m/(-2).
9
Let f be 2*(2/6 + (-46)/12). What is the remainder when 118 is divided by 840/147*f/(-2)?
18
Suppose -3*i = -2*f + 196, -f + 22 = i + 94. Let o = i + 72. Suppose 28 = x + 2*z, 0 = -o*x + 8*z - 4*z + 88. Calculate the remainder when x is divided by 14.
10
Suppose -9146 - 701 = -229*i. Let a(z) = 14*z + 1. Calculate the remainder when i is divided by a(1).
13
Let r(i) = -21*i**2 - 194*i - 35. Calculate the remainder when 262 is divided by r(-9).
2
Let z(w) = 141*w**2 - 3*w - 2. Let o be z(-1). Suppose -o*h + 540 = -147*h. Let y = -103 - h. What is the remainder when 6 is divided by y?
1
Let k(f) = 42*f - 8. Let j be (2 - 18)/((-12)/18). Let z be (8/(-12))/((-4)/j). What is the remainder when k(z) is divided by 23?
22
Suppose -2*i + 3*f = -509 - 164, -f - 1676 = -5*i. Calculate the remainder when i is divided by 171.
164
Suppose -5*x + 376 = i, -22*i + x - 3008 = -30*i. What is the remainder when 752 is divided by i?
0
Suppose 22*r = 2050 + 2284. What is the remainder when r is divided by (-6)/(-4) - (-4 + (-801)/18)?
47
Suppose 2*r - 182 = 222. What is the remainder when 62/31*(r + 2 + -2) is divided by 14?
12
Let n(h) = -6*h - 16. Let w be n(3). Let g = w - -38. What is the remainder when 5 is divided by g?
1
Suppose 0 = 2*o - 10, 4*o + 547 + 407 = 2*z. Calculate the remainder when z is divided by 49.
46
Let p = -6288 - -6336. What is the remainder when p is divided by (-75)/2*(-20)/25?
18
Let j be (1 + 0 - 4) + (-35)/(-1). Suppose -j*h = -37*h + 395. What is the remainder when h is divided by 21?
16
Let z(q) = 30*q + 92. Calculate the remainder when z(2) is divided by 72.
8
Suppose -5*o + k + 2162 = 0, 0 = 5*o - 4*k + 2*k - 2159. Suppose -4*h + o + 31 = 0. What is the remainder when h is divided by 55?
6
Suppose -7*b + 23 = -5. Suppose 0 = 4*p - b*y - 4, p + 2*y = 5*p - 8. Suppose 0 = 2*m + p*m - 75. Calculate the remainder when 26 is divided by m.
11
Suppose 20 = -2*i + 5*p, -2*i + 16 = 6*p - 2*p. Suppose i = 51*o - 175 - 18644. What is the remainder when o is divided by 17?
12
Let o = -531 - -2008. Calculate the remainder when o is divided by 114.
109
Suppose 54 = 5*j - 151. What is the remainder when 420 is divided by j?
10
Let z(s) = s**3 + 19*s**2 + 19*s - 15. Let h be z(-17). Let u = -212 + h. Calculate the remainder when 136 is divided by u.
24
Suppose 284*h - 555*h - 8802 = -340*h + 64752. What is the remainder when h is divided by ((-24)/(-10))/((-3)/(-15))?
10
Let g(a) be the first derivative of 17*a**3/3 - 5*a**2 + 24*a + 245. Calculate the remainder when g(2) is divided by 61.
11
Suppose -48*p = -45*p + k - 6992, 6996 = 3*p + 3*k. Calculate the remainder when p is divided by 23.
7
Let w = 13 + -5. Suppose 0 = 9*y + 8*y - 85. Suppose 0 = 5*z - y - 105. Calculate the remainder when z is divided by w.
6
Suppose 4*z = -2*j - 4, -47*j + 44*j - z - 1 = 0. Let f = -41 + 171. Suppose f = 5*d + v - 3*v, -3*v = j. Calculate the remainder when 51 is divided by d.
25
Suppose 59*a + 73*a + 1360 = 149*a. What is the remainder when a is divided by 41?
39
What is the remainder when ((-1)/21)/(170/(-162180)) + 4/7 is divided by 3?
1
Let q(u) = -u + 31. Let s(a) = 104*a + 70. Calculate the remainder when s(0) is divided by q(0).
8
Suppose -126*a = -137*a + 264. Suppose a*s = 351 + 33. Suppose 3*m - 125 = 202. What is the remainder when m is divided by s?
13
Suppose 3*d - 6 - 3 = 0. Let a(c) = -382*c - 3052. Let h be a(-8). What is the remainder when 77 is divided by (-5 - -6)/(h*d/240)?
17
Let o(z) = z. Let h(n) = -8*n + 222. Let m(y) = h(y) + 3*o(y). Suppose 3*i - 12 - 141 = 0. Calculate the remainder when i is divided by m(39).
24
Suppose 0 = -1013*n + 1018*n - 25. Let b(j) = 5*j**2 - 23*j - 3. What is the remainder when 15 is divided by b(n)?
1
Let j = 26211 - 26138. Calculate the remainder when 1020 is divided by j.
71
Suppose -12*o + 809 = -307 + 348. Calculate the remainder when o is divided by 32.
0
Let w = -183 - -195. Let r(q) = 11*q - 11. Let o(z) = z**2 - 8*z + 3. Let l be o(8). What is the remainder when r(l) is divided by w?
10
Let u be ((-35)/(-2))/(-5)*(-24)/14. Let a(x) = 3*x - 15 + u + 5. What is the remainder when 18 is divided by a(3)?
3
Let k(m) = 9*m + 118. Let l be k(-13). What is the remainder when 84 is divided by (-7337)/(-203) + 1*l/(-7)?
12
Let p be (-108)/(-126)*(-1 + 15). Suppose 18*c = p*c + 120. What is the remainder when 50 is divided by c?
10
What is the remainder when 21/(-14)*-2 - (502/(-2) - -1) is divided by 75?
28
Let w(n) = 3*n**3 - 16*n**2 + 52*n - 5. Calc