2 - 4/8. Suppose -r*b = -36*b + 672. Calculate the remainder when 94 is divided by b.
22
Let c = 1090 - 564. Let b be c/4 - 4/(-8). Suppose -4*f + 4*n + b = 0, -3*f + 134 = -2*n + 34. Calculate the remainder when f is divided by 7.
6
Let o = -7536 + 7705. What is the remainder when 233 is divided by o?
64
What is the remainder when 1067 is divided by (14/(560/(-1110)))/(12/(-16))?
31
Suppose -j = r - 193, r + 7*j - 197 = 2*j. Suppose 0 = -51*x + 53*x + r. Let i = x + 112. What is the remainder when 30 is divided by i?
14
Let f = -24815 - -24926. Calculate the remainder when 377 is divided by f.
44
Let u = 32 - 47. Let i(f) = f**2 + 15*f + 1. Let x be i(u). Calculate the remainder when 8/3*((-109)/(-2) + x) is divided by 25.
23
Calculate the remainder when 54/(-594) - ((-2344)/11 + -2) is divided by 59.
38
Let n = 8 + -5. Let y be (5589/115)/(12/(-15) + 1). Suppose y = n*x - 0*x. What is the remainder when x is divided by 23?
12
Let y(z) = -z**3 + 114*z**2 + 121*z - 600. What is the remainder when 771 is divided by y(115)?
51
Let d(c) = c**3 + 4*c**2 - 18*c - 31. Let z be d(-6). Suppose -3*p - 3*x + 18 = 0, z*p - 3*x - 44 - 18 = 0. What is the remainder when 87 is divided by p?
7
Let a(u) = -796*u**3 + 3*u**2 - 18*u - 20. Calculate the remainder when a(-1) is divided by 25.
22
Suppose 1541 = -64*v + 186437. What is the remainder when v is divided by 2888?
1
Let k(u) = 5*u**2 + 1. Let f be k(-1). Let r(q) = q**3 - 4*q**2 - 9*q + 7. What is the remainder when (455 + -8)/(-72 - -75) is divided by r(f)?
24
Suppose -d + 4*m = 2*d, 4*m - 12 = 0. Calculate the remainder when ((-67)/2)/((-30)/60) is divided by 340/30*6/d.
16
Suppose -3*n = 119 - 824. Let t = -148942 + 148976. What is the remainder when n is divided by t?
31
Suppose 155 = -4*b + 375. Let q = -15594 - -15756. What is the remainder when q is divided by b?
52
Let c(a) = -a - 39 + 1 + 2 - 3*a. What is the remainder when 59 is divided by c(-13)?
11
Let q be 1 + (-12)/(-4) + (-58)/2. Let w = q + -4. Let s = w - -52. Calculate the remainder when s is divided by 14.
9
Calculate the remainder when 1/(81/41628) + (-19 - (-6180)/324) is divided by 130.
124
Suppose 0*s - 57*s + 5757 = 0. Suppose -4*z - 5*d = -2*z - 67, 139 = 5*z + 3*d. Calculate the remainder when s is divided by z.
23
Calculate the remainder when (4765 - 4) + -17 + 10 is divided by 82.
80
Suppose -2*k + 604 = 4*w, -2*k + 574 + 26 = 2*w. What is the remainder when 379 is divided by k?
81
Let c(t) = -t**3 + 28*t**2 + 65*t - 1817. What is the remainder when 1602 is divided by c(28)?
0
Let a = -61 - -178. Suppose -a = -19*z + 16*z. What is the remainder when z is divided by 22?
17
Let l(r) = 2*r**2 - 5*r - 2. Suppose 4*z + 5*s = 3*z + 29, 2*s = 6. What is the remainder when l(6) is divided by z?
12
Let q(h) = -h**3 + 7*h**2 + 6*h + 131. What is the remainder when 10026 is divided by q(9)?
21
Let m(a) = -2*a**2 - 21*a - 11. Let k be m(-8). Suppose -k*w + 310 = -531. What is the remainder when 124 is divided by w?
8
Suppose 20 = m + 3*m. Suppose 0*n = 9*n. Suppose -14 = -u + a - 0*a, n = u + 3*a - 10. What is the remainder when u is divided by m?
3
Suppose 5*q + n = 954, -756 = -6*q + 2*q + n. What is the remainder when q is divided by 9?
1
Suppose -8*j + 7*j = -3*p + 2415, 7*j = -3*p + 2463. Calculate the remainder when p is divided by 163.
155
Let n = 15 - 17. What is the remainder when (46/5)/(n/(-5)) is divided by 1/(((-12)/39)/(-4))?
10
Suppose 787*x - 808 = 779*x. What is the remainder when -1*(-1110 + 2 + -1) is divided by x?
99
Suppose -o - 58*g + 52 = -54*g, -4*o = 4*g - 196. Calculate the remainder when 1675 is divided by o.
43
Let s(w) = 94*w**2 - 530*w + 4293. What is the remainder when s(8) is divided by 11?
8
Suppose -14*b = -850 - 130. Suppose -y - 4*f + 14 = 0, 23*f - 24*f = -5*y + b. Calculate the remainder when 58 is divided by y.
2
Calculate the remainder when 1360/(-12)*(-3)/2 is divided by (18/(-5))/((143 - 146)*(-2)/(-10)).
2
Suppose -2*r = -7*r - 3*i + 25, -34 = -3*r + 2*i. Suppose -r*n + 1002 = -1086. Calculate the remainder when n is divided by 66.
63
Let q = -531 + 619. Let o(n) = -n**3 - 5*n**2 - 5*n - 2. Let u be o(-4). Suppose -60 = -2*t - u*t. What is the remainder when q is divided by t?
13
Suppose -2*u + 0 = -4*r + 6, -4*r = 2*u - 18. Suppose u*z - 4*i = 2*z + 64, -3*z + 147 = -3*i. Let p = 84 - z. Calculate the remainder when 77 is divided by p.
37
Let s(b) = -b**3 + 11*b**2 - 19*b + 36. Let g be s(8). Suppose 0 = -44*m + 40*m + g. What is the remainder when 63 is divided by m?
6
Let j be 140/14*(-1)/(-2). Suppose j*m = 4*x + 9, -2*x = 5*m - 3 - 0. Calculate the remainder when 16 is divided by 26/2 - m/(5/10).
5
Suppose 5*z - 159 = 4*i, -147 = -5*z - 115*i + 117*i. Calculate the remainder when 175 is divided by z.
13
Suppose 5*v + 4*t - 408 = 0, 122*v - 120*v + t - 159 = 0. What is the remainder when 615 is divided by v?
7
Let j = 34 + 12. Let r = j - 14. Suppose 0 = -6*m - 209 + 959. Calculate the remainder when m is divided by r.
29
Let y(a) = a**3 + 10*a**2 - 11*a + 15. What is the remainder when (-4 + 5 + 49)*70/20 is divided by y(-11)?
10
Let j(p) = 16*p**2 - 24*p - 86. Calculate the remainder when j(-3) is divided by 69.
61
Let z = -140 - -143. Suppose b - z*p = p + 29, -2*p + 10 = 0. Let d(o) = 2*o - 6. What is the remainder when b is divided by d(8)?
9
Suppose -53 = -4*u + 4*j + 159, j - 5 = 0. What is the remainder when 273 is divided by u?
41
Let k(m) be the first derivative of m**3/3 - 2*m**2 + 4*m - 3. Let g(h) = 4*h**3 - 12*h**2 + 3*h - 4. What is the remainder when g(4) is divided by k(7)?
22
Suppose 15503 + 49 = 54*z. What is the remainder when z is divided by 77?
57
Suppose 1149 = 3*y - 2*h, -2*h + 12 = y - 387. What is the remainder when y is divided by 55?
2
Let g(l) = 5*l - 64. Let i be g(9). Let u = i + 110. What is the remainder when u is divided by 33?
25
Let x = 432 - 544. Let u = x + 326. Calculate the remainder when u is divided by 31.
28
Let t = -8678 - -12836. What is the remainder when t is divided by 64?
62
Let f(y) = y**2 - y + 7. Let l = -191 + 196. Calculate the remainder when 8/4*125/l is divided by f(5).
23
Let z be 3 - (-6 + 10)*1/4. Suppose -4*v + 2*r = 5*r - 7, -4*v - 2*r = -z. What is the remainder when 41 is divided by 5/(5/v) - -13?
8
Let k = -286 + 290. Suppose 4*l - 309 = -k*a + 235, 251 = 2*l - 5*a. Let i = 97 + -51. What is the remainder when l is divided by i?
41
Let z = -82 + 67. Let j = 52 + z. Calculate the remainder when j is divided by 11.
4
Suppose 0 = 2*h + 2*g - 5176, g + 2598 = h - 3*g. Calculate the remainder when h is divided by 96.
94
Let o = -95 + 180. What is the remainder when 60 is divided by ((-77)/3 - 1)*(-102)/o?
28
Let x(u) = -106*u - 16. Let h be x(-1). Suppose -5*t = 3*n - 176, -2*t + 5*n = -h + 32. Let k = 60 + 39. What is the remainder when k is divided by t?
31
Let k = 7747 - 7627. Calculate the remainder when 1214 is divided by k.
14
Suppose -57*z + 125 = -32*z. Suppose -90 = -b + z*r + 647, 3 = -3*r. What is the remainder when b is divided by 21?
18
Suppose -n + 4*k - 29 = 0, 136*n - 57 = 133*n - 4*k. Let i(m) = 4*m**3 - 5*m**2 - 4*m + 1. What is the remainder when i(5) is divided by n?
6
Suppose -5*x + 136 = -x. What is the remainder when (17 - 1431)*(-1)/7 is divided by x?
32
Suppose 0 = 17*p - 248 - 109. What is the remainder when 233 is divided by p?
2
Calculate the remainder when 2350 is divided by (-391)/(2*(-16)/64).
4
Let p = 5021 + -5004. What is the remainder when 4622 is divided by p?
15
Let n = 5115 + -5073. Let t = 14 + -5. Suppose v + 4*i - t = 0, -3*i - 2*i = -v + 9. What is the remainder when n is divided by v?
6
Let a = -187 - -189. Suppose a*k = k + 2, 4*k = -o + 28. Calculate the remainder when 137 is divided by o.
17
Let y(j) = 602*j + 11134. What is the remainder when 1333 is divided by y(-18)?
141
Let w be -71*3/1*(-90)/(-27). Let n = -591 - w. Calculate the remainder when n is divided by 34.
17
Let f(s) = 206*s + 1456. Let m be 83*3/(-9)*-3. Suppose -4*x = -m - 117. What is the remainder when x is divided by f(-7)?
8
Let h be (-2)/13 - (-14385)/(-39). Let g = h + 228. Let m = g + 217. What is the remainder when m is divided by 39?
37
Suppose -9291 = -50*z - 7*z. Calculate the remainder when z is divided by