 be (-18)/90 + 42/10. Let v(l) be the first derivative of l**3/3 - l**2 - l - 1. What is the remainder when 19 is divided by v(b)?
5
Suppose -5*v - 2*w = -120 + 372, -4*v + w - 212 = 0. Let b = v - -29. Let t = 0 - b. Calculate the remainder when t is divided by 13.
10
Let f(y) = 54*y + 61. Calculate the remainder when 60 is divided by f(-1).
4
Calculate the remainder when 118 is divided by (-9 - (-455)/49) + (-346)/(-14).
18
Suppose -4*g + o = -4*o - 1464, -4*g - 5*o = -1424. What is the remainder when g is divided by 58?
13
Let s(m) = 4*m**3 - m**2 - 3*m + 4. Let q = 6 + -3. What is the remainder when s(1) is divided by q?
1
Let b = 10 + -7. Suppose 4*k + b*f = 13, -4*k + 3*k - 4*f + 13 = 0. What is the remainder when 1 is divided by k?
0
Suppose 0 = 6*n - 52 - 2. What is the remainder when 88 is divided by n?
7
Suppose 2*m - 7 = 3. Suppose i - m = -4*i. Let f = 4 - i. What is the remainder when f is divided by 2?
1
Suppose -f - 6 = 2*f. Let d be (f - 28/(-8))*8. Calculate the remainder when 26 is divided by 10 + (-4)/(16/d).
5
Suppose 2*v - 2*r - 154 = 0, -207 = -3*v - 2*r + 49. Let k = 488 - 444. What is the remainder when v is divided by k?
38
Suppose -5*g + o = 20, o + 0 = 2*g + 5. What is the remainder when 15 is divided by 22/4 - g/10?
3
Suppose -m + 11 = -4*u + 47, -2*u + 3*m = -18. Suppose -4*d + 50 = -5*w, 2*d + 20 = -0*w - 5*w. Calculate the remainder when 104/(-6)*9/w is divided by u.
8
Let f(u) = 25*u - 190. What is the remainder when 475 is divided by f(9)?
20
Let x(a) = 70*a - 2. Let r be x(-1). Let f = -39 - r. What is the remainder when f is divided by 17?
16
Let s = 1022 - 962. What is the remainder when 238 is divided by s?
58
Let t(u) = u**3 - 7*u**2 - 15*u - 26. Calculate the remainder when 6 + (1*4)/(-2) is divided by t(9).
0
Let u be -2 - -6 - (0 + 3). What is the remainder when 22 is divided by 2/3*(u + 8)?
4
Let y(q) = -q**2 + 7*q + 16. Let o be y(7). Suppose 12*c - o*c = -112. Let k(r) = r**2 + 4*r + 5. Calculate the remainder when c is divided by k(-5).
8
Let w = -81 - -120. Let r(x) = x**2 + 31*x + 244. Calculate the remainder when w is divided by r(-13).
9
Let o(n) = 7*n**2 + 15*n - 19. What is the remainder when o(-12) is divided by 18?
17
Let k be 1/(-1*-2*4/8). What is the remainder when 142 is divided by 34 + k + (-1 - -2)?
34
Let h = -8 + 23. Let z(q) = 25*q**2 + 8*q - 7. Let f be 1/(-5)*35/(-3 + -4). What is the remainder when z(f) is divided by h?
11
Let n = 1965 - 18. What is the remainder when n is divided by 75?
72
Let d(j) be the second derivative of -j**4/12 + 11*j**3/6 + j**2 - 2*j. What is the remainder when 34 is divided by d(10)?
10
Suppose 9 + 23 = m. Let k = m - 16. What is the remainder when 79 is divided by k?
15
Let n(g) = g**2 + 4*g + 11. Let z(l) = 18*l + 1. What is the remainder when z(1) is divided by n(-2)?
5
Suppose 8 = 2*s, -4 = -5*y - 2*s + 54. Suppose 0 = -2*m + 10 + y. Suppose t - m = 12. Calculate the remainder when t is divided by 6.
4
Let u = 209 + -203. What is the remainder when 14 is divided by u?
2
Let j = -51 - -705. What is the remainder when j is divided by 44?
38
Suppose -2*p + 22 = 4*o, 2*o + 3 = 1. Calculate the remainder when 36 is divided by p.
10
Let a(l) = l**3 - 4*l**2 - 7*l - 5. Let y be (-1 + 98 - (-6 + 3)) + -1. Calculate the remainder when (-1 - y)/(-1) - (-29 - -32) is divided by a(6).
22
Let j be 9/(-3)*(-3 + 2). Calculate the remainder when 38 is divided by (1*(-84)/8)/(j/(-4)).
10
Let u = 48 - 32. Suppose -3*r + 79 - u = 0. Suppose 4*a = 65 - r. What is the remainder when 18 is divided by a?
7
Let b(i) = -i**3 + 6*i**2 - 3*i - 4. Let v(l) = l**3 - 8*l**2 - 15*l - 6. Calculate the remainder when v(10) is divided by b(4).
12
Let j = -24 - -57. Suppose -z - 2*y + 22 = 0, -55 = -4*z + 4*y + j. Let w(x) = 7*x - 8. Calculate the remainder when w(7) is divided by z.
19
Let v(c) = -3*c - 11. Let o(i) = -i + 1. Let a(y) = -5*o(y) + v(y). Let z be a(17). Calculate the remainder when 40 is divided by z/(-27)*(0 + -21).
12
Let j(o) = 2*o**2 - 6*o - 30. Let a be j(5). Calculate the remainder when (36/a)/(-1*(-9)/(-240)) is divided by 7.
5
Suppose h - 2*w = 235, 30*h - 25*h - 2*w - 1135 = 0. What is the remainder when h is divided by 12?
9
Suppose -3*o + 9 = 2*g - 0*g, 9 = 3*g. Let y(i) = i**3 - 6*i**2 + 2. Let v be y(6). Suppose 0 = -v*d - d + 6. Calculate the remainder when d is divided by o.
0
Suppose 23 + 7 = 5*h. Let p = 33 - 25. Suppose 11*d = 7*d + p. Calculate the remainder when h is divided by d.
0
What is the remainder when 145 - (-8 - (-36)/6) is divided by 25?
22
Let t = 8 + -7. Let h = t - -8. Suppose h*z - 45 = 6*z. What is the remainder when 73 is divided by z?
13
Let a = 1022 + -694. Calculate the remainder when a is divided by 33.
31
Suppose 9 = 2*z + 3*q - 2, 5 = -z + 2*q. Let b(t) = t**2 + 2*t + 1. Calculate the remainder when z is divided by b(-2).
0
Let w(y) = -5*y + 172. What is the remainder when 26 is divided by w(30)?
4
Suppose -4*h - 145 = -3*b, 157 = -0*b + 3*b + 2*h. Let n = 74 - b. What is the remainder when 67 is divided by n?
21
Let x(m) = -m**3 - m**2 - m + 50. Suppose 3*z = z. Calculate the remainder when x(z) is divided by (17 - (1 + -4)) + 12/(-4).
16
Suppose -5*m = 5*z - 2070, -4*m - 5*z + 2212 = 559. Calculate the remainder when m is divided by 81.
12
Let w(n) = n**3 + 3*n**2 - 2*n + 15. Let s be w(-7). Let v = -83 - s. Calculate the remainder when v is divided by 29.
26
What is the remainder when 237 is divided by (19 + -3)/4*(-666)/(-24)?
15
Let z(c) = 64*c - 399. What is the remainder when z(14) is divided by 130?
107
Suppose 85*c = 104*c - 5225. What is the remainder when c is divided by 5?
0
Let r = -178 + 192. Let i(m) = -m**3 + 7*m**2 + 7*m + 10. Let x be i(8). Calculate the remainder when r is divided by (x/(-4) + -2)*-2.
4
Suppose 0 = 14*j + 9*j - 92. Calculate the remainder when 845 is divided by j.
1
Let i(a) = 322*a**2 + 53*a + 54. What is the remainder when i(-1) is divided by 54?
53
Let q be (-3)/(-15) + 2/(-10). Suppose m = -0*m + 4*k + 129, q = -4*m + k + 561. Calculate the remainder when 21 is divided by m/12 - (-5)/20.
9
Let i be (-9)/(-45) + 24/5. Let d = i - 2. Suppose -6*x + d*x = -135. What is the remainder when x is divided by 12?
9
Suppose -404 = -4*t - 5*o, -3*o + 7 - 19 = 0. What is the remainder when 2119 is divided by t?
105
Suppose -4*t = c - 15, 5*t = -c - 3 + 18. Suppose -3*m + 108 = -3*x, 2*x - 97 = -2*m - x. What is the remainder when m is divided by c?
11
Let l(t) = 12*t**2 - t. Let h(y) = 9*y - 10*y**2 + 47*y**3 - 20*y**3 + 18 - 26*y**3. Calculate the remainder when h(9) is divided by l(1).
7
Suppose 0 = -3*t + 9*t + 210. Let l = t + 44. What is the remainder when l is divided by 3?
0
Suppose -4*u + 89 = -3*b, 4*b + 20 = 8. What is the remainder when 1237 is divided by u?
17
Let b = -171 + 201. Calculate the remainder when b is divided by 20.
10
Suppose -140*w + 650 = -130*w. What is the remainder when w is divided by 25?
15
Suppose -2*k + 3608 = 9*k. What is the remainder when k is divided by 30?
28
What is the remainder when 64 is divided by (1/(-10))/(1/(-44))*5?
20
Let k(r) = -r**2 + 10*r + 26. Let u be -2 + (-13)/(1 + -2). Let i = -31 + 58. Calculate the remainder when i is divided by k(u).
12
Let r(z) = -8*z + 25. Let a(l) = 3*l - 13. Let p(c) = 5*a(c) + 2*r(c). Calculate the remainder when 67 is divided by p(-20).
2
What is the remainder when -10 + 1293/3 - (3 + -1) is divided by 35?
34
Suppose -4*o = -121 + 369. Let q = o + 111. Let y(v) = -2*v**2 - 15*v - 5. What is the remainder when q is divided by y(-2)?
15
Let j = 145 + -131. Let h = -16 - -28. Suppose h = 4*k - 4. Calculate the remainder when j is divided by k.
2
Suppose -7*x + 20 = -11*x. Let o be x + 1 + (-9 - 10). Let j = 40 + o. Calculate the remainder when 48 is divided by j.
14
Let d(q) be the second derivative of -q**5/10 + 5*q**4/4 - q**3/6 + 4*q**2 - 12*q. What is the remainder when d(7) is divided by 17?
16
Let i(t) = -t**2 + 5*t - 2. Let s be i(4). Let r be 0/(-1) - (s + -2). Suppose 5*d - 275 - 135 = r. What is the remainder when d is divided by 28?
26
Let i(a) = -3*a**3 - a**2 + 1. Let q be i(-1). Suppose -p + 48 = q*p. Calculate the remainder when 45 is divided by p.
9
Let v = -1055 - -1133. Calculate the remainder whe