 + 14*s, -5*y + 287 = -2*s. What is the remainder when 824 is divided by y?
57
Suppose -2*b - 14 = -i - 21, i + 11 = 4*b. Suppose 0 = b*q - 5*w - 4, 2 = q + 8*w - 4*w. Calculate the remainder when 45 is divided by q.
1
Let d(y) = -3*y - 45. Let w be d(0). Let i = w + 102. Suppose 0 = 3*z - 12 - 24. Calculate the remainder when i is divided by z.
9
Suppose -5*t - 5*a = -12400, -38*t + 94281 = 8*a - 11*a. Calculate the remainder when t is divided by 1240.
1
Let o = 363 - 364. Calculate the remainder when o/5 + 7056/105 is divided by 18.
13
Let q(k) = k**2 - 13*k + 45. Let c be q(7). Suppose 12*z - 126 = c*z. What is the remainder when 23 is divided by z?
9
Suppose 28*x = 32*x + 4456. Let r = 1175 + x. Suppose -k + 31 = 3*l, -2*k + 0*l + 12 = -4*l. What is the remainder when r is divided by k?
13
Suppose -18*a + 10*a = -152. Suppose -1040 = -a*h + 11*h. What is the remainder when h is divided by 11?
9
Suppose 12*v + 734 = 4755 + 5267. Calculate the remainder when v is divided by 200.
174
Suppose -33*k = -31*k - 960. Let b = k - 433. What is the remainder when 134 is divided by b?
40
Let l(o) = 2*o + 5. Calculate the remainder when ((-180)/(-70))/(11 + (-4768)/434) - -2 is divided by l(7).
17
Let a(z) = 6044*z - 5918. Calculate the remainder when a(3) is divided by 19.
16
Calculate the remainder when 338 is divided by (-10)/(-10)*(-3 + (-552)/(-6)).
71
Suppose 0 = -y + 444 - 89. What is the remainder when y is divided by (42/(-24))/((-244)/48 + 5)?
19
Let f(l) = -l**2 + 27*l + 208. Let s be f(-7). Calculate the remainder when 1/(-2)*(s - 132) is divided by 41.
40
Let b = -27 - -58. Suppose -5*j - o = 12, 0 = -4*j + 9*o - 13*o - 16. Calculate the remainder when (j - -6) + 1/2*106 is divided by b.
26
Suppose 15*p - 18*p = 351. Let g = p + 164. Suppose 0 = r - 1, -2*m + 2*r = -0*m - 48. Calculate the remainder when g is divided by m.
22
Suppose -166 = 4*q - b, -2*q + b + 121 = -5*q. Suppose 4*x = -3*s - 272, -5*s + 160 + 44 = -3*x. Let p = q - x. What is the remainder when 105 is divided by p?
24
Let t(r) = 144*r + 1175. Calculate the remainder when 1241 is divided by t(-8).
22
Suppose 5*c - 42 = 108. Suppose -2*y + 15*h = 16*h - 22, 3*y - c = -3*h. Let s(r) = r**2 - 5*r - 6. What is the remainder when y is divided by s(7)?
4
Let o be 0 - 0 - (-50 + -2). Suppose -3*s - o = -7*s. Calculate the remainder when ((-14)/5)/((-36)/(-90)) + 11 - -19 is divided by s.
10
Suppose 5*p + g + 75 = 6*p, 4*p - 312 = g. Let x = 123 - p. Suppose 5*q + 5*j - 655 = -0*q, -4*j - 379 = -3*q. What is the remainder when q is divided by x?
41
Let v be (0 - -144) + (0 - (0 - 1)). Let t = v - 79. Let x = -56 + t. What is the remainder when 38 is divided by x?
8
What is the remainder when (1*237)/(12 - (-9 - (-18 + -2))) is divided by 17?
16
Let o(f) = -5*f + 1. Calculate the remainder when o(-14) is divided by 27 - (4 + 3 + 0).
11
Suppose 2*z - z = -15. Calculate the remainder when 140 is divided by (2 - -6)/((-5)/z).
20
Suppose 985*s = 973*s + 5616. Calculate the remainder when s is divided by (-6)/(-9)*((-3618)/4)/(-9).
66
Let y(j) = j**3 - 5*j**2 + j - 3. Let k be y(6). Suppose 5*w + 654 = k. Let v = 176 + w. What is the remainder when v is divided by 14?
11
Let k = -5697 + 13869. Calculate the remainder when k is divided by 61.
59
Suppose 17*d - 192 = 13*d. Let v = -56 + d. Let h(u) = -u + 5. What is the remainder when 22 is divided by h(v)?
9
Let h(f) = 0*f**2 - 5*f**2 + f**3 - 35*f + 29 + 42*f. Calculate the remainder when h(6) is divided by 12.
11
Suppose 2*r - 5*r + 9 = 0, -4*n + 4*r = -24. Let t(a) = -a + 0*a - 7*a**2 + a**3 - 10*a - 7*a + 14. What is the remainder when t(n) is divided by 10?
4
Let l = -124 - -136. What is the remainder when (-18)/(-8)*112/l is divided by 12?
9
Let w(b) = -b**3 - 12*b**2 - b - 11. Let j be w(-12). Calculate the remainder when 93*(1/1 + 0) is divided by (-1008)/(-64) + j/4.
13
Let q = 2932 - 2903. Suppose -3*b = -m - 360, 3*b = 5*m + 378 - 18. Calculate the remainder when b is divided by q.
4
Let z(f) = -109*f + 3601. Calculate the remainder when z(-7) is divided by 168.
164
Let w = -3816 - -4623. Calculate the remainder when 812 is divided by w.
5
Suppose -29*z = -16*z. Suppose z = q + 2*k - 15 - 395, -5*q - 4*k + 2056 = 0. What is the remainder when q is divided by 105?
97
Let f(c) = -c**2 - 28*c - 184. What is the remainder when 462/15 + 2/10 is divided by f(-16)?
7
Let d(p) = -104*p - 1631. Calculate the remainder when d(-20) is divided by 170.
109
Suppose 4*o = 8, -5*k - o + 150 = 93. Let g(q) = -2*q**3 + 23*q**2 + 4*q + 26. Calculate the remainder when g(k) is divided by 8.
7
Suppose 3*k - 4*b = 44, -4*k - 10*b = -5*b - 69. What is the remainder when 220 is divided by k?
12
Let y be 23*2 + (-1 + -6 - -2). Suppose 19*t - 383 = -y. What is the remainder when 233 is divided by t?
17
Let l(i) = -8*i - 141. Let a be l(41). Let z = a - -497. What is the remainder when 68 is divided by z?
12
Suppose -3*g + 2*g - 4*t + 1157 = 0, 0 = -3*t. Calculate the remainder when g is divided by 8.
5
Suppose -6*j + 27 + 3 = 0. Suppose -u + f = -0*f - 22, -5 = j*f. Suppose -4*d = -5*d + 4*i + 16, 3*d - 20 = -2*i. What is the remainder when u is divided by d?
5
Let g(y) = y**2 - 81*y + 736. Let x = -119 + 47. Let c = 173 + x. What is the remainder when c is divided by g(10)?
23
Let b = -108 - -212. Let r = -80 + b. Suppose 0 = 3*p - 38 - 1. Calculate the remainder when r is divided by p.
11
Let y(v) be the third derivative of v**6/120 - 7*v**5/60 + v**3/3 + 20*v**2. Let z be y(7). Calculate the remainder when 3/1 + 92 + z/(-2) is divided by 24.
22
Let d(h) = 2*h**3 - 25*h**2 + 37. What is the remainder when d(17) is divided by 19?
16
Suppose 6*f + 15*f = 29*f - 1384. Calculate the remainder when 521 is divided by f.
2
Let x = -77850 + 78204. Suppose 0 = -4*w - 2*v + 246, 0 = -3*w - 2*w - 2*v + 306. What is the remainder when x is divided by w?
54
Calculate the remainder when 259 is divided by 18/2 + -545 + 568.
3
Let z = -6273 - -6550. Calculate the remainder when z is divided by 75.
52
Let x(h) = h**3 + 26*h**2 + 4*h - 7. Let s be x(-23). Suppose 27*p + 138 = s. Calculate the remainder when p is divided by 30.
20
Suppose 0 = -o + 3*j - 443, o + 3*o + 5*j + 1687 = 0. Let b = o - -874. Suppose -9*r + b = -4*r + c, -r - c = -90. What is the remainder when r is divided by 6?
5
Let n(p) = -p**3 + 28*p**2 - 30*p + 16. Let c be n(26). Let w = -291 + c. Calculate the remainder when w is divided by 6.
3
Suppose 376 = 184*u - 176*u. Let g(j) be the first derivative of j**3/3 - j**2/2 - 4*j - 24. Calculate the remainder when u is divided by g(5).
15
Suppose 0 = 3*o + 2*s - 1670, -4*o - 2*s + 2220 = 2*s. Let j be (-2)/(-6) + o/21. Suppose -5*c + 8 = -j. Calculate the remainder when 38 is divided by c.
3
Suppose 0 = -28*q - 8*q - 19728. What is the remainder when 365 is divided by 917/15 + (q/60 - -9)?
60
Suppose 46 + 17 = -7*j. What is the remainder when 142 is divided by (560/30)/(-7)*1*j?
22
Let r = -292 + 862. Suppose 6*l - 492 = r. Calculate the remainder when l is divided by 30.
27
Let z(g) = g**2 - 25*g - 18. Calculate the remainder when 118 is divided by z(26).
6
Suppose -4*r = -133 + 85. Calculate the remainder when (12 - 0/(-1))*(-432)/(-162) is divided by r.
8
Let g(f) = f**2 - 6*f + 8. Let p be g(5). Suppose -3*b + p*v + 104 = -2*b, -2*v = -5*b + 494. What is the remainder when b is divided by 17?
13
Calculate the remainder when 1392 is divided by (-2277)/(-45) + 12/(-20).
42
Let w be ((-28)/(-294) - 4/42) + 3. Suppose 0 = -3*b - 0*b - 3*x - w, 0 = -4*b + 5*x + 41. Calculate the remainder when b is divided by 4.
0
Let q(s) = 3*s**2 + 4*s + 8. Let b be q(7). Let t = -155 + b. Let j(v) = v + 82. What is the remainder when j(0) is divided by t?
26
Suppose 4*m = 4*q + 892, -2*m + 7*q + 447 = 6*q. Calculate the remainder when m is divided by 131.
93
Let c = -19279 - -19484. What is the remainder when c is divided by 123?
82
Let z(r) = -55*r + 1292. What is the remainder when z(14) is divided by 234?
54
Let c = -14557 - -14848. What is the remainder when 913 is divided by c?
40
Suppose 5*w = 45, -92*w = k - 89*w - 951. What is the remainder when k is divided by 191?
160
Suppose 2*k + 2*w - 54 = 0, -3*w = -2*k + 3*k - 33. Calculate the remainder when 182