
Suppose h - 3 = -0*h. Suppose h*w - 3*p = 33, 5*p - 42 = -5*w + 13. Let i(q) = 4*q**3 - 1. Calculate the remainder when w is divided by i(1).
2
Calculate the remainder when (16 - 19)/((-1)/15) is divided by 4.
1
What is the remainder when (-30)/4*(-46)/3 is divided by 20?
15
Suppose 236 = 4*l - v, 4*v - 319 + 103 = -4*l. What is the remainder when l is divided by 23?
12
Suppose 5*n - 17*n + 336 = 0. Calculate the remainder when 223 is divided by n.
27
Suppose 4*r + 5*l = 140, -3*l = 5*r - 2*l - 154. Suppose -106 + 42 = -4*s. What is the remainder when r is divided by s?
14
Let j be (-2)/(-8)*9*-4. Suppose 92 = -8*x + 12*x. Calculate the remainder when x is divided by 3/j*(2 + -20).
5
Let u = 1153 + -1071. Calculate the remainder when 167 is divided by u.
3
Let b(f) = 14*f**2 + 85*f - 76. Let w(o) = -2*o**3 - o**2 - o + 3. Calculate the remainder when w(-4) is divided by b(-7).
14
Let d(q) = -21*q - 9. Let u = 29 - 22. Calculate the remainder when d(-3) is divided by u.
5
Let z = 106 - 100. Calculate the remainder when 88 is divided by z.
4
What is the remainder when 178 is divided by (-4)/14 + (72/7 - 0)?
8
Suppose f = -2*f - 4*t + 37, 4*t = -20. Calculate the remainder when ((-110)/(-8))/((-15)/(-60)) is divided by f.
17
Let x = 2430 + -1231. What is the remainder when x is divided by 48?
47
What is the remainder when (366 - 3) + -5 + 5 is divided by 73?
71
Calculate the remainder when 792/(-108)*15/(-2) is divided by 16.
7
Let k be ((-60)/(-1))/((-33)/22). Let m = k - -66. Let a = 49 - m. What is the remainder when a is divided by 13?
10
Let a(y) be the first derivative of y**3/3 - y + 3. Suppose 62 = 9*r - 19. Calculate the remainder when a(-5) is divided by r.
6
Suppose 4*w = 0, 0 = -4*k + 4*w - 6*w + 88. Let g(y) = 29*y - 80. What is the remainder when g(4) is divided by k?
14
Let d = 4 + -2. Suppose -2 = -3*p + d*p. Let i = -410 - -415. What is the remainder when i is divided by p?
1
Suppose 151 = 9*m - 470. What is the remainder when 206 is divided by m?
68
Suppose -2*l = -3*v + 69, l = 5*v - 38 + 7. Let j = 46 + l. Calculate the remainder when 19 is divided by j.
9
Calculate the remainder when 589 is divided by (-1)/(6/(-236)*(-20)/(-30)).
58
Suppose 3*f + 9 = 0, f + 0 - 47 = -2*z. What is the remainder when 115 is divided by z?
15
Let o = -50 + 52. Suppose h + 16 = -o*i + 42, 39 = 3*i + 4*h. Calculate the remainder when 22 is divided by i.
9
Let y = 1292 + -1288. What is the remainder when 173 is divided by y?
1
Let t = -43 + 52. Let j(u) = -u**3 + 12*u**2 + 2*u. What is the remainder when j(12) is divided by t?
6
Suppose 120 = 57*c - 51*c. Calculate the remainder when c is divided by (3/9)/(2/24).
0
Let r(u) = u + 8. Let s be r(-8). Suppose 4*p + 88 = 2*w, s = -3*w + 2*p - 0*p + 152. Calculate the remainder when w is divided by (2/(-5))/((-4)/140).
12
Let a(y) = 17*y - 35. Let j be a(15). Suppose 0 = -5*v + 7*v - j. What is the remainder when v is divided by 28?
26
Calculate the remainder when (3660/48)/((2 + -4)/(-8)) is divided by 18.
17
Let d(n) = 69*n**3 - 5*n**2 + 3*n + 1. What is the remainder when d(1) is divided by 18?
14
Let s(w) = -4*w**2 - 3*w + 1. Let y be s(-2). Let c(a) = -a**2 - 7*a + 49. Let g(x) = 6*x**2 + 6*x + 2. Calculate the remainder when g(-5) is divided by c(y).
29
Suppose 1048 = -4*g + 12*g. Calculate the remainder when g is divided by 19.
17
Let t be 21*(-1 - (-44)/12). Suppose -7*r = -3*r - t. What is the remainder when r is divided by 5?
4
Suppose 5*l = -5*n + 780, -2*l + 284 = -n - 4*n. Suppose -5*z - 47 + l = 0. Calculate the remainder when 3/(0 - 3) + 41 is divided by z.
19
Let x(a) be the second derivative of a**3/2 - 7*a**2 + 6*a. What is the remainder when 3 is divided by x(5)?
0
Let o = 193 - 184. What is the remainder when 33 is divided by o?
6
Let r be (-2)/((0 - 3)/3). Let p(v) = v**2 - 2*v + 3. Let z = -8 + 17. What is the remainder when z is divided by p(r)?
0
Let k(v) = -18*v - 3. Calculate the remainder when k(-5) is divided by 1740/(-464)*8/(-5).
3
Suppose -79 = -4*n + c, -4*n + 3*c + 75 = -2*c. Let z(h) = -h**2 + 15*h + 3. Let t be z(12). Let f = t - 1. Calculate the remainder when f is divided by n.
18
Let f be 5/((-231)/(-228) - 1). Suppose -35*t + f = -31*t. Calculate the remainder when t is divided by 12.
11
Suppose 73 = -b - 5. Let l = 99 + b. Calculate the remainder when 102 is divided by l.
18
Let q = -41 + 72. Let j = q - 9. Calculate the remainder when j is divided by 12.
10
Let h be (-21)/42*(-1118)/(-1). Let c = -386 - h. What is the remainder when c is divided by 612/14 + 2/7?
41
Let c(r) = r**3 - 5*r**2 - 3*r - 7. Let y = 21 - 17. What is the remainder when (656/(-32))/((-2)/y) is divided by c(6)?
8
Let w(u) = 8*u - 28. Let q(f) = -95*f + 335. Let g(n) = -3*q(n) - 35*w(n). Calculate the remainder when g(10) is divided by 13.
12
Suppose 0 = -2*n + 75 - 33. What is the remainder when 50 is divided by n?
8
Suppose 183*y + 540 = 193*y. Calculate the remainder when 107 is divided by y.
53
Let x be 4*((-20)/24 + 1/3). What is the remainder when 37 is divided by (-720)/(-70) - ((-12)/7 - x)?
7
Let q(r) = -3*r**2 - 69*r - 8. What is the remainder when q(-20) is divided by 25?
22
Let h = -487 + 578. Calculate the remainder when h is divided by 16.
11
Let s = -27 - 30. Let i = s + 80. What is the remainder when 90 is divided by i?
21
Let t(v) = v**3 + 8*v**2 - 27*v - 39. Calculate the remainder when 167 is divided by t(-10).
12
Suppose -4*f + 7*f + 2*y - 341 = 0, 2*y - 2 = 0. What is the remainder when 350 is divided by f?
11
Let y(a) = 161*a**2 - 11*a - 6. Let r(u) = -32*u**2 + 2*u + 1. Let o(n) = -11*r(n) - 2*y(n). Calculate the remainder when o(-1) is divided by 7.
3
Suppose 0*a + a - 136 = 0. Suppose -4*p + 148 = -2*i, 3*p + 5*i = -38 + a. Calculate the remainder when 71 is divided by p.
35
Suppose -4*q + 24 = -3*q. Let r(v) = 78*v - 172. What is the remainder when r(4) is divided by q?
20
Suppose b - 2 = 0, -h + b - 7 - 23 = 0. Let g = h + 48. Calculate the remainder when 74 is divided by g.
14
What is the remainder when 2*(12/(-72))/(2/(-498)) is divided by 70?
13
Suppose -3*o + 15 = 0, 5*x + 4*o - 285 = -0*x. Let m = -333 - -542. Calculate the remainder when m is divided by x.
50
Let v(f) = -13*f - 9. Calculate the remainder when v(-5) is divided by 17.
5
Suppose 3*c - 112 = -c. Suppose 0 = -5*k + 351 - 121. Let p = k - c. What is the remainder when 34 is divided by p?
16
Let v(b) = -56*b + 245. What is the remainder when 123 is divided by v(4)?
18
Let p be (-912)/(-64) - 6/(-8). Suppose -71 = -5*o + 3*j, j = -o + 2*j + p. Calculate the remainder when 18 is divided by o.
5
Suppose 3*u - 2*u - 3*i + 15 = 0, 3*u + 12 = -2*i. Calculate the remainder when (582/(-15))/(u/15) is divided by 25.
22
Suppose 3*z - 11 = 1. Let n be -4 - (z + -21)/1. Calculate the remainder when 22 is divided by (-4)/2 + n + 1.
10
Let b(s) = 7*s**2 - 5*s - 5. Calculate the remainder when 52 is divided by b(-1).
3
Suppose 0 = -2*v + 3*v + 2*o - 272, 5*o - 272 = -v. Calculate the remainder when v is divided by 25.
22
Suppose 0 = 2*b + 4*b. Suppose 11 = p - b. What is the remainder when 19 is divided by p?
8
Suppose 2*s - 95 + 17 = -2*t, 5*s - 5*t - 205 = 0. What is the remainder when s is divided by 12?
4
Let m(c) = c + 17. Let x be m(-8). Let h(u) = 2 - 4*u**2 - 8*u + 6*u + x*u**2. Calculate the remainder when h(-4) is divided by 23.
21
Suppose -508 = -4*b + 3*q - 180, 0 = -3*b - q + 259. What is the remainder when b is divided by 70/21*(0 + 9)?
25
Let m(g) = -g**3 + 16*g**2 + 32*g - 162. What is the remainder when m(16) is divided by 44?
42
Suppose 0 = 5*j + y - 58, 62 = 5*j + 3*y - 2. Calculate the remainder when 417 is divided by j.
10
Let j = -198 + 349. Calculate the remainder when j is divided by 11.
8
Suppose 12*r - 9*r = 129. Calculate the remainder when r is divided by 15.
13
Suppose -3*r - 3*v = -45, -r + 20 = 3*v + 1. Let a = 798 + -747. Calculate the remainder when a is divided by r.
12
Suppose 2*h - 36 = h - 3*h. Suppose -10 = a - 3*a. What is the remainder when h is divided by a?
4
Let w = -187 + 267. Calculate the remainder when 153 is divided by w.
73
Let m(q) = 8*q**2 - 8*q + 7. Let t(y) = -y**3 - 4*y**2 - 124*y - 621. Calculate the remainder when m(5) is divided by t(-5).
23
Let k = -45