Let d be ((-170)/3)/(-10)*3/1. Let s(t) = 25*t - d - 3*t - 25*t. What is the remainder when s(-11) is divided by 10?
6
Suppose 2*s - b - 455 = 0, -20 + 19 = b. Let c = 103 - 49. Calculate the remainder when s is divided by c.
11
Suppose 20*d = -179*d + 5174. Let h = -49 + -127. Let n = 330 + h. What is the remainder when n is divided by d?
24
Suppose -3*c = -12 - 3. Suppose c*k + 3*t = 80, 32 = 4*k - 2*k - 5*t. Let m = -696 + 755. What is the remainder when m is divided by k?
11
Let p(y) = -7*y**3 - 69*y**2 + 90*y + 41. Let s = -1 + 4. Calculate the remainder when p(-11) is divided by s.
1
Suppose 56*y - 90 = 449 + 413. What is the remainder when 55 is divided by y?
4
Let f(r) = -1887*r**3 - 2*r**2 + 2*r + 3. Let q be f(-1). Suppose -18*m - q = -59*m. Calculate the remainder when m is divided by (24/(-5))/(3/(-15)).
22
Suppose 29*z - 16*z - 12*z - 1060 = 0. Calculate the remainder when z is divided by 41.
35
Let y = -125 - -122. What is the remainder when 200 + y + (5 - 9) is divided by 2/8 + 1085/28?
37
Let z(v) = 2*v**2 - v. Let q = -273 - -277. Suppose -q*r + 5*b - 2*b = -102, -64 = -3*r - 4*b. Calculate the remainder when r is divided by z(3).
9
Let y be (-36)/(-45)*225/2*-1. Let w be (-2)/(-10) + (-612)/y. What is the remainder when 0 + ((-2)/w - 2072/(-49)) is divided by 22?
20
What is the remainder when 91 is divided by 180/2 + (-337 - -323)?
15
Let x(q) = 15*q + 67. Let u be x(-9). What is the remainder when 101 is divided by (18/(-40) - 21/(-105))*u?
16
Let z = 22398 - 22199. Calculate the remainder when 1007 is divided by z.
12
Suppose 4*x = -16, 3*x = 127*i - 123*i - 472. Calculate the remainder when 1029 is divided by i.
109
Let a(r) = 5*r + 12. Let h be a(-2). Suppose -6*d = -h*d + 2*b - 48, 3*b = -2*d + 20. Calculate the remainder when 59 is divided by d.
7
Let u = -307 + 341. Suppose 0 = -s - 4*h + 1, -4*s + 0*s - h = -u. Calculate the remainder when 89 is divided by s.
8
Let q = -25516 + 27556. Calculate the remainder when q is divided by 225.
15
Suppose -5*z = 220*o - 224*o + 31, 2*o - z = 23. Calculate the remainder when 262 is divided by o.
10
Calculate the remainder when 269 is divided by 17/(102/288) + (-84)/(-12).
49
Calculate the remainder when ((-556)/(-16))/((0 - -1)*(-32)/(-1280)) is divided by 36.
22
Let q be -1 - (-6 - 32/(-4)). What is the remainder when 186 is divided by q/(-7 + (-96)/(-14))?
18
Suppose -5*g = 15, 5*u - 117 = -g - 10. Suppose -4*o = -4, 0 = 2*k - 6*k + 3*o + 1725. What is the remainder when u is divided by (k/(-42))/4*(-42)/9?
10
Let h(u) = 7*u + 128. Calculate the remainder when (-3 - -375) + (1 - 6) is divided by h(-15).
22
Suppose 6*f - 64 = 4*v, 89 = 3*f + 3*v + 32. What is the remainder when 87 is divided by f?
3
Suppose 53*u - 13839 + 142 = 3422. Calculate the remainder when u is divided by 43.
22
Let x = 91 + -170. Let v = -66 - x. Calculate the remainder when 141 is divided by v.
11
Suppose -37*b + 17017 = 4548. Calculate the remainder when b is divided by 57.
52
Suppose 2*l - 277 + 89 = 0. Let o = l - 91. What is the remainder when 30 is divided by o?
0
Let m = 9199 - 9184. What is the remainder when 38969 is divided by m?
14
Suppose -1938 = -n - 5*p - 602, -4*p - 5560 = -4*n. Calculate the remainder when n is divided by 107.
97
Suppose -n - 12 + 48 = 0. Let f = 99 + -71. Let q = n - f. What is the remainder when q is divided by 4?
0
Let b = -271 + -44. Let q = b - -390. Calculate the remainder when q is divided by 6.
3
Let u = -308 - -316. Suppose -u*v + 6*v = -138. Calculate the remainder when 259 is divided by v.
52
Let q(w) = 10*w - 85. Let r be q(10). Suppose 4*y - 8 = -0*y. Suppose o - r = y. Calculate the remainder when 44 is divided by o.
10
Let h(a) = a**3 + 10*a**2 + 9. Let l be -5 + 3 - (-6 + 4). Suppose -2*j + 2*w = -l*j - 76, 5*w + 110 = 3*j. Calculate the remainder when j is divided by h(-10).
4
Let g(j) = j**3 - 31*j**2 - 30*j + 46. Let a be g(34). Let n = -1295 + a. Calculate the remainder when n is divided by 50.
49
Suppose -1 = -6*v + 87 - 10. Suppose -3*k - 2*m + 260 = 0, -5*k + 4*m + 455 = 3*m. What is the remainder when k is divided by v?
12
What is the remainder when -29 + 31 - (-64)/(2/1) is divided by 3 + 0 - (-10 - 5)/5?
4
Suppose 0 = -3*w + 3*i + 27, -3*w + i - 13 = -4*w. Suppose -18*m + 4133 = 13*m + 258. Calculate the remainder when m is divided by w.
4
Suppose 89*w - 86*w - 2*c = 96, -5*w + 4*c + 156 = 0. What is the remainder when 211 is divided by w?
31
Let r(z) = -355*z + 3987. Calculate the remainder when 1966 is divided by r(11).
80
Let o(c) = c + 17. Let u be o(-13). Suppose -j = -2*n - 353, -3*n - u + 13 = 0. What is the remainder when j is divided by 60?
59
Suppose 4*p = n - 1737, 556*n - 558*n + 4*p = -3494. Calculate the remainder when n is divided by 70.
7
Suppose 66 = b + 2*b. Suppose 140 - b = 3*u + 5*g, 5*u - 178 = g. Suppose 0 = 539*m - 511*m - 280. What is the remainder when u is divided by m?
6
Let s be (8 + 224/(-21))*6/(-8). Suppose h = -s, -5*h + 44 = 2*l - 22. Suppose 12*u - l = 454. Calculate the remainder when u is divided by 11.
8
Let j be 30/90 - 250/(-6). Let q = j + 9. Let a = 12 + 1. Calculate the remainder when q is divided by a.
12
Suppose 40*l + 734 = 4174. What is the remainder when 431 is divided by l?
1
Suppose 7*u + u - 480 = 0. Let l = -15 + u. Let s = 49 - l. Calculate the remainder when 15 is divided by s.
3
Suppose 3*h + 23 = 209. Suppose v - h = 62. What is the remainder when v is divided by 63?
61
Suppose -390 = 6*y + 522. Let w = y - -167. What is the remainder when 71 is divided by w?
11
Suppose -9*c - 10*c - 8*c = -21735. What is the remainder when c is divided by 210?
175
Suppose 1803*p - 1808*p = -180. What is the remainder when 140 is divided by p?
32
Let u(t) = -2*t**3 - 10*t**2 + 9*t - 12. What is the remainder when 354 is divided by u(-7)?
112
Let y(x) = 4*x**2 + 3*x + 2. Let i(q) = q - 220. Let p be i(0). Calculate the remainder when (p/12)/5*-39 is divided by y(-3).
27
Suppose -m - 15 = 5*s - 64, s - 29 = -m. Suppose 29*l = 27*l + m. Suppose -3*u = -27 - l. What is the remainder when u is divided by 6?
1
Let x be 10 - ((-156)/(-38) + 4/(-38)). What is the remainder when (-2 - 201/x)/(38/(-152)) is divided by 25?
17
Let z(q) = q**3 + 11*q**2 + 5*q - 34. Suppose -k = -2 - 0. Suppose -2*t - 26 = 2*d, -2*t + k*d - 44 = 3*t. What is the remainder when 73 is divided by z(t)?
9
Let o(g) = 238*g + 1208. What is the remainder when 24 is divided by o(-5)?
6
Let q = 187 + -73. Suppose -5*w - 1 = -11, -2*i + 5*w = -q. Let o(z) = -z**2 + 15*z - 4. What is the remainder when i is divided by o(12)?
30
Suppose -10*k + 52*k = -294. Let h(l) be the second derivative of -l**4/12 - 2*l**3 - l**2/2 + 4*l. What is the remainder when h(k) is divided by 19?
15
Suppose 0 = -5*i + 5*u + 3690, 2*i - 5*u = -i + 2222. Calculate the remainder when i is divided by 23.
21
Suppose -150*p + 156 = -149*p - 4*q, 529 = 4*p + 3*q. What is the remainder when 2583 is divided by p?
135
Let x(f) = f**2 - f - 1. Let r(p) = -7*p**2 + 2*p - 9. Let u(w) = -r(w) - 6*x(w). What is the remainder when 89 is divided by u(-5)?
9
Let u = -101 + 34. Let w = u - -68. Suppose 3*x = -5*j + 9, -3*j + 5 = 2*x - 0. What is the remainder when j is divided by w?
0
Let b = 11339 + -6751. What is the remainder when b is divided by 17?
15
Suppose -33*u + 4*x = -31*u - 2430, 2*u + 3*x = 2437. What is the remainder when u is divided by 303?
5
Let s(k) be the second derivative of k**4/12 - 31*k**3/6 + 16*k**2 + 5*k. Calculate the remainder when s(32) is divided by (1 - 0)*(14 + -3).
9
Let b = -5773 - -5789. What is the remainder when 3294 is divided by b?
14
Suppose 0 = 65*o - 70*o + 150. Suppose -n - 3*n = 80. What is the remainder when o is divided by ((-18)/10)/(4/n)?
3
Suppose -u = 2*u - 6, u - 17 = -5*j. Suppose 5*i = -j*x + 128, 20 = -0*i + i - 5*x. What is the remainder when 44 is divided by i?
19
Let c(v) = 57 + 30 - 9 + 19 + 33*v + 83. Suppose -5*i = -3*y - 10*i + 158, 4*y + 2*i = 220. What is the remainder when y is divided by c(-5)?
11
Suppose -3*j + 0*j - 5*r + 16 = 0, 3*r - 48 = -5*j. Suppose s - 47 = 3*x, s - 6 = x + 13. Calculate the remainder when j is divided by (x/(-5))/(3/30*4).
5
Let j = 4 - -1. Let x(g) = 21*g + 8*g**2 - g**2 - 9 - 10*g**2. What is t