e remainder when 27 is divided by z?
12
Suppose 5*m - 815 = 249*g - 247*g, 3*g - 489 = -3*m. What is the remainder when 6680 is divided by m?
160
Suppose -5*j - o - 2*o = -116, 3*j = -4*o + 63. Suppose -i = -3*f + 25, -12*i = -7*i - j. Calculate the remainder when 38 is divided by f.
8
Let c(r) = -r**3 + r + 137. Suppose -2*h - d = -4*d, -12 = -3*d. What is the remainder when c(0) is divided by h?
5
Let t = -95 + 177. Suppose -153 - 87 = -16*f, 0 = -0*w - 5*w + 3*f + 50. Calculate the remainder when t is divided by w.
6
Suppose -20 = -4*z - 4*i, 0 = -2*z - 0*i + i + 7. Suppose -z*v + n = -550, 6*v - 419 = 3*v + 4*n. Calculate the remainder when v is divided by 35.
32
Suppose 51 = 3*i - 57. Suppose -10*k + 4*k = -i. Suppose -23 = -p + m, k = -m - m. What is the remainder when p is divided by 8?
4
Let t(a) = -2*a**2 + 79*a - 7. What is the remainder when t(35) is divided by 64?
52
Let s be 1/(-4 + (-5184)/(-740) - 3). Let i be (-172)/(-28) - (-2)/(-14). Suppose p + s = i*p. Calculate the remainder when p is divided by 19.
18
What is the remainder when 2384 is divided by ((-6244)/8)/(-1) - 213/(-142)?
38
Let n = -398 - -423. Let z be (-1)/(-4) + 451/4. Let r = 162 - z. Calculate the remainder when r is divided by n.
24
Suppose 45 = 5*k + q, -4*k + 5 = -3*k + q. Let a(z) = 2004*z - 14024. What is the remainder when k is divided by a(7)?
2
Let i(b) = -7*b**3 - 7*b**2 + 32*b + 210. What is the remainder when i(-5) is divided by 2?
0
What is the remainder when 798 is divided by 158*40/(-48)*(4 + -8 + 1)?
8
Let k(i) = -5*i - 34 - 3*i**2 + 3*i - 9*i - 7*i**3 + 6*i**3. Suppose -2*z = -z - 4*m, z - 16 = -4*m. What is the remainder when k(-4) is divided by z?
2
Let w(b) = b + 25. Let y be w(-5). Let s(p) = p**3 - 20*p**2 + 3*p + 29. What is the remainder when s(y) is divided by 33?
23
Let b(q) = 14*q - 112. Let n be b(0). Let a = n + 126. What is the remainder when (-1)/(-4) - 1505/(-28) is divided by a?
12
Suppose -3*r = -2*r - 36. Let g = -10 + r. Let h(y) = -y**3 - 13*y**2 + 103*y + 1389. What is the remainder when g is divided by h(-11)?
12
Let y(p) = 91*p**2 + 415*p + 826. What is the remainder when y(-2) is divided by 102?
54
Suppose -4*x = 3*i - 122, 2*i = -2*i + x + 131. What is the remainder when 2957 is divided by i?
33
Let c(b) = 21*b + 424. What is the remainder when c(17) is divided by 29?
27
Let y = 395 - -204. Let p = y + -149. What is the remainder when p is divided by 41?
40
Let d(g) = -17 - 4*g**2 - 2*g + 2 + 5*g**2 - 25. What is the remainder when d(-6) is divided by 4?
0
Suppose 0 = -g + 13 + 25. Let t = -15463 - -15470. What is the remainder when g is divided by t?
3
Suppose -8*n + 54 = -7*n. Suppose -16 = -2*f - 2*q, q + 28 + 14 = 4*f. What is the remainder when n is divided by f?
4
Suppose 4*l + 24 = -4*i + 6*i, -2*l = i + 8. Suppose 2*x - 41 = -g, -g - i*x + 176 = 3*g. What is the remainder when g is divided by 23?
22
Let r = -13812 + 13891. Let u = -14 + 25. Calculate the remainder when r is divided by u.
2
Suppose 5*v - 2*v = -k + 2277, -759 = -v - 5*k. What is the remainder when v is divided by 51?
45
Let z = 229 - 261. Let v(t) = 6*t**3 - 4*t**2 + 3*t - 2. Calculate the remainder when v(2) is divided by z/10 + 4/20 + 25.
14
Let u(b) = 744*b + 250067. Let d be (-3 - 0)/(6/(-8)). Suppose 4*r - 137 = 5*p, 2*p = d*r - 169 + 47. Calculate the remainder when u(-336) is divided by r.
27
Let m = 30 - 26. Let u(n) = 28*n - 12. What is the remainder when u(m) is divided by 34?
32
Suppose 172*m = 166*m + 2208. Let z = -346 + m. Let b = -17 - -30. What is the remainder when z is divided by b?
9
Let w(n) = 3*n + 3. Let v be 4/(-10) + (-51)/(-15). Let l = -2236 - -2271. Calculate the remainder when l is divided by w(v).
11
Let a = -13033 + 16077. Calculate the remainder when a is divided by 87.
86
Suppose -645 = -5*u + 5*s, 122*u - 125*u + 399 = -s. Calculate the remainder when 1986 is divided by u.
96
Let b = -35 + 66. Let x = -15 + b. Suppose -x = 4*r, -p = -5*p - 4*r + 68. Calculate the remainder when 103 is divided by p.
19
Suppose 2*q = -4*s + 1276, 0 = 4*s - 6*q + 2*q - 1276. Let x(j) = 2*j**3 - 180*j**2 + 1007*j + 124. What is the remainder when s is divided by x(84)?
39
Let r(q) = -5 + 39*q + 23*q**2 - 31 - 24*q**2 - 58. What is the remainder when r(34) is divided by 40?
36
Let v = 89 + -27. Let n = -62 + v. Suppose -4*f = -4*j - 76, n*f + f + 2*j = 4. Calculate the remainder when 95 is divided by f.
11
Calculate the remainder when 3869 is divided by 5 + (14388/545 - (1 - (-8)/(-5))).
29
Let m be (6 + -20)/((-9)/7 - -1). Suppose 50*y - 96 = m*y. What is the remainder when y is divided by 25?
21
Let f = -432 + 438. Suppose -38 = -f*n - 20. What is the remainder when 32 is divided by n?
2
Calculate the remainder when ((-1692)/90 - -23)/((-2)/(-6570)) is divided by 150.
147
Let l(f) = f**3 - 9*f**2 + 11*f - 4. Let w be l(9). Suppose -7*a + w + 52 = 0. Calculate the remainder when 104 is divided by a.
20
Suppose 2*b - 4*p - 17 - 95 = 0, 4*p = 4*b - 220. Calculate the remainder when 318 is divided by b.
48
Suppose 128 + 64 = -0*x + 12*x. What is the remainder when 350 is divided by x?
14
Suppose -2*t = -3*l - 0*t + 214, 4*l - 291 = -3*t. Suppose 0 = 9*s - 6*s + l. Let w = -3 - s. What is the remainder when 58 is divided by w?
16
Let n = 81 + -75. Let p be (-1 - n/(-4))*6. What is the remainder when (174/8)/(p/4) is divided by 19?
10
What is the remainder when ((-23)/((-1380)/(-912)))/(2/(-1 + -39)) is divided by 94?
22
Let p(w) = 2*w**2 - 6*w - 14. Let i be p(6). Let t = i + -2. Let o(g) = -g**3 - 2*g**2 + 7*g - 2. What is the remainder when o(-5) is divided by t?
18
Calculate the remainder when -13 - (-16 - 11) - -117 is divided by 44.
43
Suppose 5*l = r + 2568, -1179*r + 6 = -1181*r. What is the remainder when l is divided by 282?
231
Let q(w) = w**3 - 9*w**2 - 34*w + 170. What is the remainder when q(13) is divided by 225?
179
Let o(j) = -6*j**3 - 4*j**2 - 5*j + 2. Let u be o(-3). Suppose -3*s + 152 = -5*p, 3*s + 0*p + 4*p = u. Calculate the remainder when s is divided by 20.
9
Let w(b) = 29*b + 5370. Calculate the remainder when 2396 is divided by w(-180).
146
Suppose 2*n + 33 = 5*h + 82, 0 = 4*h + 12. Calculate the remainder when (0 + (-12)/5)*(1400/(-120) - 0) is divided by n.
11
Let t = 117 + -112. Suppose -2*u - 4*a = 1 - 9, -t*u = -4*a + 8. What is the remainder when 142 is divided by (-1)/(-1)*(u - -16)?
14
Let u be ((-75)/4)/(-6 - (-90)/16). Suppose -3*f = u - 14. Calculate the remainder when ((-15)/(-10))/(3 - (-35)/f) is divided by 10.
8
Let q(d) be the second derivative of -d**5/20 + d**4/4 - d**3/3 + 7*d**2/2 - 96*d. What is the remainder when 180 is divided by q(0)?
5
Let s be (-65)/39 - -2*11/6. What is the remainder when 37 is divided by s/(((-23)/46)/((-10)/4))?
7
Suppose -2*b - 7*b = -45. Suppose -b*a + 368 = 108. Suppose 55*j - 27 = a*j. What is the remainder when 79 is divided by j?
7
Let v = -60 - -68. Let p be (5 - (-75)/(-12))*v/2. Let j(u) = 3*u**2 + 6*u + 5. Calculate the remainder when j(p) is divided by 26.
24
Suppose 8*a - 4*a = -3*s + 29, 5*s - 52 = -3*a. Let k(d) = -d**3 - 15*d**2 - 6*d - 7. Calculate the remainder when k(-15) is divided by s.
6
Suppose 20 = 20*z - 15*z. Suppose -3*d + 73 = 5*l, -13*l - 4*d - 66 = -18*l. What is the remainder when l is divided by z?
2
Let a = 20192 + -15920. What is the remainder when a is divided by 225?
222
Suppose -25*u + 5*u - 5407 = -5647. What is the remainder when 625 is divided by u?
1
Let q = 9 - -5. Suppose -3*h + 1 + q = 0. Suppose 4*g - 174 = -h*u, -5*g - 5*u + 220 = -0*g. What is the remainder when g is divided by 10?
6
Let s = 8505 + -8403. Calculate the remainder when 245 is divided by s.
41
Let t(c) = c**2 + 24*c - 39. Let f be t(-19). Let o = f - -138. What is the remainder when 8 is divided by o?
0
Let s(t) = 6*t**2 - 186*t + 169. Calculate the remainder when s(33) is divided by 32.
21
Let s = 1436 + 4376. What is the remainder when s is divided by 153?
151
Let z be ((-33)/66)/((-1)/4). Suppose 5*h = -20, -472 = -2*q + z*h + h. Calculate the remainder when q is divided by 39.
35
Let c(a) = 2*a**3 - 17*a**2 + 65*a - 166. What is the remainder when 30*3 + (-3 - -1) is divided by c(6)?
0
Let a(z) = 297*z - 3131. Calculate the remainder when 3943 is divid