 32. Let a = 774 - 695. Calculate the remainder when a is divided by y(0).
15
Let y = 141 + -78. Suppose y = -0*b + 3*b. Suppose -2*z + 2 = 0, -5*s + 3*z = -3*s - b. What is the remainder when 20 is divided by s?
8
Let t = 1689 - 1542. What is the remainder when 297 is divided by t?
3
Suppose -2*n = -3*h + 931, 8 = -h - 5*n + 341. Let w(d) = -d**2 + 114*d - 1299. Calculate the remainder when h is divided by w(100).
10
Suppose 285*o + 6172 = 289*o. What is the remainder when o is divided by 43?
38
Suppose a + 15 = 6*a. Let o(l) = l**3 - 4*l + 3. Let b = -367 - -377. What is the remainder when o(a) is divided by b?
8
What is the remainder when 2961 is divided by ((52/(-20))/(4/10))/((-384)/2304)?
36
Let x(w) = w**3 - 46*w + 5. What is the remainder when x(8) is divided by 31?
25
Let b = 8972 + -8904. What is the remainder when 4416 is divided by b?
64
Let u(v) = 3*v + 101. What is the remainder when ((-9936)/(-30) - -4) + (-1)/5 is divided by u(-15)?
55
Let h = 339 - 335. Suppose h*w + 60 = 4*s, -2*w - 46 = -4*s + s. What is the remainder when 398 is divided by s?
14
Suppose -3*m + 6 + 90 = 0. Let n be (-3380)/40*(-4)/1. Let y = 398 - n. What is the remainder when y is divided by m?
28
Let d(h) = 15*h**2 + 2*h - 6. Let o = 0 - -32. Calculate the remainder when d(-3) is divided by o.
27
Suppose -39*n - 1128 = -45*n. Let q(c) = -c**3 - 6*c**2 + 7*c + 52. What is the remainder when n is divided by q(-6)?
8
Suppose 0 = -3*y - 2*y + 3*d + 17, 5 = 5*d. Suppose -3*j + y + 26 = 0. Calculate the remainder when 189 is divided by j.
9
Suppose 15*y - 11*y - 176 = 0. Let b = 2573 - 1959. What is the remainder when b is divided by y?
42
Suppose 2*x = -a + 35, 60 + 85 = 5*a + 5*x. Calculate the remainder when 294 is divided by a.
18
Let h = 5823 + -5716. What is the remainder when 519 is divided by h?
91
Suppose 0 = -4*f - l - 8, 36 = 2*f - 247*l + 245*l. Let z(b) = 2*b**3 - 3*b**2 - 4. Calculate the remainder when z(3) is divided by f.
1
Let x(r) = 3*r**3 - 4*r**3 + 11 + 3*r**2 - 16*r + 7*r**2. Calculate the remainder when 32 is divided by x(8).
10
Let a be (6 + 0 - -6)/((-12)/(-16)). Suppose 4*l = 2*i + a, 60*l = 4*i + 59*l - 3. Calculate the remainder when (1 + -7)*(-3 + 2) is divided by i.
0
Let r(z) be the first derivative of -13*z**2/2 + 98*z + 223. What is the remainder when r(-4) is divided by 32?
22
Let q(x) = 4*x - 299 + 475 + 19*x - 7*x - x**2. What is the remainder when 179 is divided by q(23)?
14
Suppose 3 = 4*o + 19. Let u(d) = 9*d**2 + 2*d - 10. What is the remainder when u(o) is divided by 39?
9
Suppose -d + 4*h = d - 14, -3*d + 15 = -3*h. Let l(v) = -v**3 - 48*v**2 + 7*v + 362. Calculate the remainder when l(-48) is divided by d.
2
Let x = 38083 + -38066. Suppose 5*o - 5 - 40 = 0. Calculate the remainder when x is divided by o.
8
Let x(o) = -4 - 13 + 36*o + 2*o**2 - 6. Let b be (-192)/10 - 57/(-285). What is the remainder when 74 is divided by x(b)?
14
What is the remainder when 1522 is divided by 1133244/2982 - 12/426?
2
Suppose 434*o + 47*o = -515*o + 30876. What is the remainder when ((-60)/9)/((-1)/36) is divided by o?
23
Suppose -2*f + 6*f - 472 = 0. Suppose -6*m + f = -4*m + l, -5*l = m - 59. Suppose -3*a = 4*a - 119. Calculate the remainder when m is divided by a.
8
Let p(g) = 880*g - 1164. What is the remainder when p(5) is divided by 108?
104
Suppose 0 = 47*h - 21833 - 33674. Let d = 1191 - h. Calculate the remainder when (-145)/(-3) - 3/9 is divided by d.
8
Suppose 5*j = 9*j + 3*k - 15, 15 = 3*j + k. Suppose 2*w - 8 = 0, -v = 5*w + j - 38. Calculate the remainder when 57 is divided by v.
9
Let i(w) = w**3 + 2*w**2 - w - 2. Let p be i(-2). Suppose -5 = 5*m, -4*n + 6*m - 2*m + 236 = p. Calculate the remainder when n is divided by 19.
1
Suppose -2*b - 1155 = -4*y + 11, y - 2*b = 299. Let h = 299 - y. What is the remainder when 77 is divided by h?
7
Let c(a) be the third derivative of 23*a**4/12 + a**3/6 - 2*a**2. What is the remainder when c(1) is divided by (2 - (-96)/(-28))/((-225)/105 - -2)?
7
Let c(t) = -33*t + 103. Let m be c(3). Calculate the remainder when ((-8)/(4 - 0))/(m/(-148)) is divided by 19.
17
Suppose -3*k + w = -38 + 15, 4*k - 32 = 2*w. Let l = -198 - -201. Suppose l*z - 980 = -k*z. What is the remainder when z is divided by 25?
23
Suppose -4*r - 2304 = 8*r. Let n = r + 206. Calculate the remainder when 97 is divided by n.
13
Let g be (-33)/6 + 1/2 - -5. Suppose -2*r - 143 = -3*l, 0*l - l - 3*r + 44 = g. What is the remainder when 232 is divided by l?
44
Suppose 8 = -4*r, 3*r = i + 4*r - 192. Calculate the remainder when 388 is divided by i.
0
Let w = -267 + 300. Let r(a) = -a + 119. What is the remainder when r(27) is divided by w?
26
Let f be 296/(-48) + (-5)/(-30). What is the remainder when ((-8)/f)/(1/177) is divided by 12?
8
Let s = -5336 - -5352. Calculate the remainder when s is divided by 6.
4
Let m = 5896 + -5657. What is the remainder when 964 is divided by m?
8
Let a = -563 - -77. Let f = -457 - a. What is the remainder when 142 is divided by f?
26
Suppose 0 = 32*x - 4*x. Suppose -17*t - 12*t + 5568 = x. Calculate the remainder when t is divided by 103.
89
Suppose 0 = 23*f - 24*f + 40. What is the remainder when f is divided by 18/(-15)*-1*(-45)/(-6)?
4
Let l = -12558 + 12560. Suppose -3*s - g = -92, 0*s - 97 = -3*s - 2*g. What is the remainder when s is divided by l?
1
Suppose -8*i = -0*i - 336. Suppose -33*b = -30*b - i. What is the remainder when 47 is divided by (-6)/(-14) - (-106)/b?
7
Let c = 385 + -385. Suppose 25*q - 470 - 180 = c. What is the remainder when 34 is divided by q?
8
Suppose 11*l - 4149 = 746. What is the remainder when l is divided by 148?
1
Suppose 0 = -7*a - 146 + 678. Suppose 0 = 2*y - 24 - a. What is the remainder when y is divided by 13?
11
Calculate the remainder when 128500/30 - (-10)/(-30) is divided by 36.
35
Let d = 30 + -30. Suppose d = -3*w + 2*w + 5. Calculate the remainder when (27 + 1)*((-11)/(-22))/1 is divided by w.
4
Let w be -164 + (0 + -2)/2*3. Suppose 2*u + 242 = -2*l + 774, 4*l = 4*u + 1096. Let q = w + l. What is the remainder when q is divided by 15?
13
Suppose -1298 = -n + 5*p, -2*n = n - 3*p - 3918. What is the remainder when n is divided by 16?
12
Let h = -4 - -7. Let c be 71/(-2*1/(-24)). Suppose 9*d = h*d + c. What is the remainder when d is divided by 16?
14
Let a = 2209 - 2081. Suppose 2 = y + 78. Let u = y + a. What is the remainder when 206 is divided by u?
50
Let i be 7 + (-117)/15 + (-1)/5. Calculate the remainder when 77 is divided by (-656)/(-41) + i*3.
12
Let f(v) = 3*v + 1. Let h be f(1). Suppose 2*z + 3*z = 3*n - 21, 3*n + h*z - 21 = 0. What is the remainder when n/((2 - 4)/(-8)) is divided by 16?
12
Let s be ((-98)/(-8))/(12/48). Let z = 52 - s. Suppose 0 = 3*u + 5*d - 155, -2*u + 4*d + 86 = z*d. Calculate the remainder when u is divided by 16.
13
Suppose 0 = 4*f - r - 801 - 6, -5*r + 634 = 3*f. Calculate the remainder when f is divided by 55.
38
Let u(z) = 4*z**3 - 5*z**2 - z + 19. Suppose -354*y + 15 = -349*y. What is the remainder when u(y) is divided by 17?
11
Suppose -3*d - 12 - 38 = -5*x, 4*x = 2*d + 40. Let r(j) = -9*j + 138. Calculate the remainder when (228/(-10))/((-4)/x) is divided by r(14).
9
Let q = -13 - -77. Let p be (q/10)/(6/(-75)). What is the remainder when 93 is divided by (-2 + (-21)/(-10))*-4*p?
29
What is the remainder when 972*(-7)/(-10 - 4) is divided by 59?
14
Suppose -y - 239 + 35 = 4*o, -5*o - 4*y = 255. Let m = 721 + -672. What is the remainder when m is divided by -3 + 3*o/(-9)?
7
Let d(t) = 3*t**2 - 513*t + 2062. What is the remainder when d(4) is divided by 22/(-3)*(-3)/2?
3
Suppose 34*d = 5*a + 30*d - 4, a - d = 1. Suppose a = -34*l + 38*l - 636. Calculate the remainder when l is divided by 40.
39
Suppose 0 = 130*z + 34200 - 142100. What is the remainder when z is divided by 811?
19
Let m(w) = -6*w**2 + 8*w + 5. Let x be m(4). Let c = x + 163. Suppose -5*i - q = -5*q - 130, 4*i - c = -q. What is the remainder when i is divided by 9?
8
Let s = -8170 - -8228. Calculate the remainder when 810 is divided by s.
56
Let o = -16077 - -16409. Calculate the remainder when o is divided by 18.
8
Suppose -5*v - 3270 = -5*t, -5*v + 462 = 2*t - 902. Calculate the remainder when t is divided by 148.
70
Suppose 0 = 232*h - 23