= 1381 - 1207. Suppose -16 = 8*a - 12*a. Suppose -175 = -9*z + a*z. Calculate the remainder when w is divided by z.
34
Suppose -3*c - 2*p = -83, 4 = p - 0. Calculate the remainder when 166 is divided by 57 - (-3*c/(-15) + -4).
54
Let c(f) = f**2 - 6*f - 19. Let w be c(16). Let b = w + -138. Suppose 0 = b*y + 39 - 90. What is the remainder when y is divided by 7?
3
Suppose 4819 - 5257 = -6*q. What is the remainder when 802 is divided by q?
72
Let m be (-44)/10 + (-24)/(-60). Let q be (-1)/m*-2*-872. Suppose 23*h = 19*h + q. What is the remainder when h is divided by 22?
21
Let m = 24696 + -23455. Calculate the remainder when m is divided by 130.
71
Suppose 4166 = 11*j - 58. Let c = -378 + j. Calculate the remainder when c is divided by 5.
1
Let j(m) = -m**3 + 25*m**2 - 154*m + 53. Calculate the remainder when 235 is divided by j(10).
1
Suppose -k - 5*h = 0, 108*k - 30 = 104*k - 5*h. What is the remainder when 385 is divided by k?
5
What is the remainder when 25628/14 + -20 + (-21)/(2058/(-1904)) is divided by 39?
36
Let k(c) = 17*c**2 - 106*c + 129. Calculate the remainder when 552 is divided by k(6).
27
Suppose -2*i = -4*i - 2*h + 38, 4*i = 2*h + 52. Let c = 19 - -10. Suppose -z + c = -26. Calculate the remainder when z is divided by i.
10
Let b(p) = p**3 + 5*p**2 - p - 3. Let z be b(-2). Let v(j) = -j**3 + 9*j**2 + 24*j - 19. Calculate the remainder when 49 is divided by v(z).
1
Suppose -50*k + 104760 = 70*k. What is the remainder when k is divided by 73?
70
Suppose 2*p = 8*p - 72. Suppose -16*y + 20*y + p = 0. Let h = 20 - y. Calculate the remainder when 63 is divided by h.
17
Let k = 5 + 52. What is the remainder when (k - -2*1) + 0/(-4) is divided by 3*-7*(-3)/3?
17
Suppose 0 = -4*u - 3*b + b + 30, 0 = -5*b - 15. Let h = 408 + -330. Suppose -275 = h*s - 89*s. Calculate the remainder when s is divided by u.
7
Suppose -g = -4*d - 6*g + 572, -3*d - 3*g = -429. Let o = 163 - d. What is the remainder when (118/(-6))/((-2)/12) is divided by o?
18
Let k = -5391 + 5416. What is the remainder when 3122 is divided by k?
22
Suppose 4*f - 2849 = -7*c, f + c = 6*c + 746. Let h = f - 608. Calculate the remainder when h is divided by 59.
54
Let w = -5683 + 6433. What is the remainder when 2252 is divided by w?
2
Suppose -t + 3*q = 536, -q - 599 = 4*t + 1597. Let p = -25 - t. Calculate the remainder when p is divided by 15.
13
Let o = 9274 + -9270. What is the remainder when 3570 is divided by o?
2
Let u(g) = 12*g - 14. Let i(w) = -w**2 + 8*w + 6. Suppose 4*h + 5*q - 33 = 4, -h + 7 = -q. Let v be i(h). What is the remainder when u(v) is divided by 31?
27
Suppose 2*h - 5*m = -20, h + 12 = 6*m - 3*m. Suppose 0*a - 5*a - 25 = h. Let c(p) = 3*p**2 + 9*p - 8. Calculate the remainder when 60 is divided by c(a).
16
Let s(z) = -z**2 - z + 16. Suppose 4*n + 5*u - 10 = 0, -7*u + 4*u = 6. What is the remainder when (24/2)/((-8)/(-140)*n) is divided by s(0)?
10
Let z = -144 - -149. Suppose 102 = z*o - 0*a + 4*a, -6 = -2*a. Calculate the remainder when 160 is divided by o.
16
Let g = -73 + 73. Suppose g*b + 2*b = 40. What is the remainder when 46 is divided by b?
6
Let s(m) = -m**2 + m - 1. Let c(p) = -3*p**2 + 12*p - 2. Let i(y) = -c(y) + 2*s(y). Let x be i(-8). What is the remainder when 1/((28/x)/7) is divided by 13?
10
Let q be 2/(-12)*-9*2. Suppose q*h = -h + 272. Calculate the remainder when h is divided by (-270)/12*8/(-10).
14
Let l(n) = -7*n + 205. Calculate the remainder when 88 is divided by l(18).
9
Let l = -4867 + 4885. Calculate the remainder when 690 is divided by l.
6
Let y be ((-6)/(-4))/(33/(-594)). What is the remainder when 2/((-5)/((-825)/10)) is divided by (-6)/y + (388/36 - -1)?
9
Let s(x) = 53*x**2 + 3*x + 3. Let n be s(-1). Suppose n + 27 = 2*m. Let w = 1396 + -1382. Calculate the remainder when m is divided by w.
12
Suppose -5 - 3 = -4*m. Suppose 0 = l + m*l - 78. What is the remainder when 205 is divided by l?
23
Suppose 13*y = -13, 4*k - 15*y - 282 = -17*y. Calculate the remainder when 91 is divided by k.
20
Let r = -164 + 190. Suppose 4954 = -69*k + 20824. Calculate the remainder when k is divided by r.
22
Let u(r) = 3*r**3 - 3*r + 2. Let d be u(-3). Let p be (d/(-20))/((-2)/(-104)). Suppose p = 3*c + 128. What is the remainder when 63 is divided by c?
9
Let p(y) = 127*y + 204. Calculate the remainder when p(2) is divided by 44.
18
Let g be 125/50*(-16)/(-10). Suppose -3*z = -u + g, u + 4*z + 1 = -2*u. What is the remainder when 12 is divided by u?
0
Suppose 2*t + 67 = r, 2*t - 234 - 77 = -5*r. What is the remainder when r is divided by (-8)/20 + (-132)/(-30) + 20?
15
Calculate the remainder when 1/2*6 + (-12 - -23) is divided by 4/5*(-90)/(-12) - 2.
2
Let p(g) = -559*g - 7331. What is the remainder when p(-14) is divided by 83?
80
What is the remainder when (-6)/99 - (-3520325)/825 is divided by 25?
17
What is the remainder when (-12921)/511*(-28)/6 is divided by 32?
22
Suppose p + 3 - 4 = 0. Let g(l) = -25*l**3 - l**2. Let c be g(p). Let d = c + 51. What is the remainder when 66 is divided by d?
16
Suppose 3*r + 2670 = -7*r. What is the remainder when 3 - r/(-3)*-1 is divided by 32?
28
Suppose -340 - 26 = -35*u + 124. Calculate the remainder when 5567 is divided by u.
9
Suppose 3*n = 2*u - 49, -106 + 26 = -5*u - n. Suppose -b = -3*k - 739, -b + k = 2*k - 727. What is the remainder when b is divided by u?
16
Suppose -80*z + 34*z + 4938 = 200. Calculate the remainder when 7722 is divided by z.
100
Let d(t) = -t + 1. Let y be d(-3). Suppose -3*c - y*h = -4, -5*c + 4*h + 16 = -3*c. Calculate the remainder when c is divided by 1/((-2)/(-12)) - 60/330*11.
0
Let f be (-3125)/(-7) - (-60)/(-140). Let n = f + -208. What is the remainder when n is divided by 48?
46
Suppose -3*z + 12 = -0*z. Suppose 4*m = 4*j + 24, m + j = 4*m - 12. What is the remainder when (-5)/(-10) + 42/z is divided by m?
2
Let h be (-9)/(-21) + (-288)/(-112). Suppose -h*c + 284 = -x, -4*c + 4*x = -488 + 120. Calculate the remainder when c is divided by 38.
20
Suppose 3*k - 205 = -2*p + 32, 15 = 5*p. What is the remainder when 90 is divided by k?
13
Calculate the remainder when ((-24)/9)/(4 - 278/69) is divided by 74.
18
Let x(i) = i**3 + 38*i**2 - 78*i + 72. Let d be x(-40). Calculate the remainder when 70 is divided by (-16)/2*20/d.
10
Suppose -7*t + 305 = -2*t. Let b = 417 + -449. Let u = b + t. What is the remainder when u is divided by 15?
14
Let m(n) = n**2 + 4*n + 11. Calculate the remainder when m(-11) is divided by (24 + 64/8)/1.
24
Suppose -4*l - 4*p = -8270 + 1418, 0 = -5*l + 3*p + 8557. Suppose 3024 = 8*o + l. What is the remainder when o is divided by 15?
14
Suppose -r = -23*r + 1628. Suppose 0 = 5*w + 2*k - r, -3*k - 2 = w - 9. Calculate the remainder when 62 is divided by w.
14
Let x(c) = 2*c**2 + 7*c + 2. What is the remainder when x(-12) is divided by 86?
34
Let h = -231 + 233. What is the remainder when ((-2)/6)/((-16)/432) is divided by h?
1
Suppose -n + 8 = 67. Let k = -61 - n. Calculate the remainder when 22 is divided by 0/3 - 2*5/k.
2
Let t = -49 - -59. Suppose 4*p - 344 = 4*y + 624, -5*y = -t. Let z = -143 + p. What is the remainder when z is divided by 17?
16
Suppose -4*s + 293 = -135. Suppose -3*r + s = 5*h, -1 + 5 = h. What is the remainder when 114 is divided by r?
27
Suppose -2*g - 13 = -11, -3*x + 4*g + 1000 = 0. Calculate the remainder when x is divided by 72.
44
Suppose -9*p - p = -2*p. Let d(h) = h**3 + 4*h**2 + 179. What is the remainder when d(p) is divided by 30?
29
Let g(p) = p**3 - 17*p**2 - 12*p + 23. Let v be g(18). Let d = v - 93. Suppose 4*f = 3*m + 3*f - 43, 2*m - 28 = f. What is the remainder when d is divided by m?
8
Suppose 2*g = -6*x + 5*x + 27, -x + 131 = 10*g. What is the remainder when 634 is divided by g?
10
Let s(r) = -17*r - 123. Let p(a) = 34*a + 246. Let j(x) = -2*p(x) - 5*s(x). Calculate the remainder when 12 is divided by j(-7).
0
Suppose -39*j + 44*j - 102 = -4*m, -m = -4*j - 36. Calculate the remainder when 4113 is divided by m.
25
Suppose -20 = 4*j - 224. Let y be 5/((-160)/248) - (-6)/8. Calculate the remainder when 27 is divided by j/7 - (-2)/y.
6
Suppose -96832 = -27*r - 151*r. What is the remainder when r is divided by 107?
9
Let j = 148 + -67. Suppose k - 2*h = j, 3*h - 5*h + 61 = k. Calculate the remainder 