r when t(-3) is divided by 21.
16
Suppose 4*t - 91 - 5 = 0. Suppose 20*c = t*c - 200. Calculate the remainder when c is divided by 9.
5
Let i(g) = -10*g + 88. Calculate the remainder when 77 is divided by i(5).
1
Suppose 34*x - 42*x = -296. Calculate the remainder when x is divided by 12.
1
Let l = -614 + 636. What is the remainder when 439 is divided by l?
21
Let o(i) = 5*i**3 + 5*i**2 - 4*i**3 - 19*i + 13*i**2 - 4 + 7. Calculate the remainder when 8 is divided by o(-19).
2
Let u = 15 + 10. Suppose 4*c + 24 = d + 10, -3*c = 5*d + 22. What is the remainder when u is divided by (-14)/(-1) + c + -3?
4
Let f = 1302 - 1254. What is the remainder when 136 is divided by f?
40
Let x be 371/5 + 9/(-45). Suppose 3*a = x + 34. What is the remainder when 35 is divided by (a/(-14))/((-11)/77)?
17
Let o(q) be the first derivative of q**4/4 - 5*q**3/3 + 3*q**2/2 - 5*q + 5. Calculate the remainder when 27 is divided by o(5).
7
Suppose -2*t = -7*t - 40. Let m be (4/t)/((-4)/8). Calculate the remainder when 35 is divided by ((-2)/6)/(m/(-27)).
8
Suppose 3*h - 3*d + 285 = 0, d + 193 = -2*h + 2*d. What is the remainder when -2*2/8*h is divided by 13?
10
Suppose 9*n = 481 + 122. What is the remainder when n is divided by 35?
32
What is the remainder when 385 is divided by ((-9)/5)/((-165)/3575)?
34
Suppose -3*c + 98 - 20 = 0. Suppose -3*s + 5*a + 155 = 0, 2*s - 101 + 0 = a. What is the remainder when s is divided by c?
24
Let w(l) = -l**3 - 13*l**2 + 7*l - 28. Calculate the remainder when w(-14) is divided by 19.
13
Let z(l) = l**3 + 2*l**2 - 3*l. Let a be (3*2)/(-3) + 4. Calculate the remainder when (-1 - 1)*(-153)/18 is divided by z(a).
7
Let u(z) = -z**3 - 9*z**2 - 4*z + 5. Let r = 10 - 4. Calculate the remainder when u(-9) is divided by (1*-2)/(r/(-33)).
8
Let b(r) = r**3 + 4*r**2 - 5*r - 1. Let w be ((-8)/(-4) - -4) + 3. Suppose -1 = -2*k - w. Calculate the remainder when b(k) is divided by 11.
8
Let v(p) = 6*p**2 - p + 1. Let s be (-15)/10 + (-7)/(-2). What is the remainder when 66 is divided by v(s)?
20
Suppose 0 = 16*k - 26*k + 40. Let h = 10 + -7. Suppose 8 = f - k*n, -f + 7 = -8*n + h*n. What is the remainder when f is divided by 3?
0
Let u be (447/6)/((-3)/(-6)). Let g = -73 + u. Suppose -3*d + 90 = 3*y, -2*y = 2*d - 4*y - g. Calculate the remainder when d is divided by 18.
16
Let y = 41 + -29. Let n = 205 + -171. Calculate the remainder when n is divided by y.
10
Suppose 46 + 1010 = 6*u. Calculate the remainder when u is divided by 26.
20
Suppose -2*t - v = -660 - 1406, -t + 1034 = v. What is the remainder when t is divided by 74?
70
Let c(f) be the second derivative of f**3 - 5*f**2/2 - 23*f + 2. Let r = -8 + 12. Calculate the remainder when c(r) is divided by 11.
8
Let b(t) = -2*t**3 - 2*t**2 - 2*t. Suppose 31 = -2*f + 4*f + 5*u, -2*u + 1 = -3*f. Suppose 0 = -2*n - f - 1. Calculate the remainder when 23 is divided by b(n).
11
Suppose 2*a + 14*p - 462 = 17*p, -a - p + 226 = 0. Calculate the remainder when a is divided by 34.
24
Let z(c) = c**3 - 8*c + 106. What is the remainder when 353 is divided by z(0)?
35
Let z = -91 - -99. Suppose -z*c = -5*c - 204. What is the remainder when c is divided by 25?
18
Let h(m) = -3*m + 1. Let k be h(-3). Let j = k + -12. What is the remainder when (-1)/j*4 + 2 is divided by 4?
0
Suppose -5*r - y = -360 - 911, -5*r + 1291 = -4*y. What is the remainder when r is divided by 14?
3
What is the remainder when 231 is divided by (-11 - (-11 + 9))*-1?
6
Let c = -33 + 52. Let u(v) = 19*v - 3. Suppose 3*j + 0 - 12 = 0. Calculate the remainder when u(j) is divided by c.
16
Let o = 1291 - 1256. What is the remainder when o is divided by 7?
0
Let i(k) = -k**2 - 5*k + 8. Let u be i(-7). Calculate the remainder when 26 is divided by 564/36 - (-1)/(u/4).
11
Let q(k) = 14*k + 37. Let v = -38 + 68. Calculate the remainder when q(8) is divided by v.
29
Let r = 3 + -4. Let c(y) be the third derivative of y**5/5 + y**4/12 + y**3/6 - 155*y**2. Calculate the remainder when 17 is divided by c(r).
6
Let r(l) = -2*l**2 + 12*l - 5. Let h(x) = -2*x + 6. Let k be h(-4). Let j be r(k). Let o = 320 + j. What is the remainder when o is divided by 23?
22
Let t = -867 + 968. Suppose 0 = -3*w - 9, 0 = -f - 2*f + 4*w + 168. What is the remainder when t is divided by f?
49
Suppose -14*i = -9*i - 190. Suppose -84 = -5*p - 9. Calculate the remainder when i is divided by p.
8
Let p be (8/(-7))/4 - (-821)/7. Let t = -88 + p. Calculate the remainder when t is divided by 13.
3
Calculate the remainder when (((-100)/(-15))/10)/(4/1170) is divided by 20.
15
Let r = 619 + -222. Calculate the remainder when r is divided by 50.
47
Let p(i) be the third derivative of -i**5/60 - 11*i**4/24 + 13*i**3/6 + 2*i**2. Let j = -29 - -20. What is the remainder when p(j) is divided by 11?
9
Let u(j) = -69*j**2 + j. Let n be u(1). Calculate the remainder when n/(2/((-4)/4)) is divided by 9.
7
Suppose 8 = 2*y, -2*w + 5*y - y + 4 = 0. Let q = w + 25. Suppose -4*s - 3*k + 45 = 0, 3*s - k = -0*s + 24. Calculate the remainder when q is divided by s.
8
Let a = 2554 + -2539. What is the remainder when 71 is divided by a?
11
Let g(p) = -p**3 + 24*p**2 + 3*p - 50. Let k be g(24). Let c(v) = -v**2 + 31*v - 68. Calculate the remainder when c(k) is divided by 22.
20
Suppose -632 - 3 = -5*s. Let d = 181 - s. What is the remainder when d is divided by 20?
14
Suppose 0 = 33*p - 18*p - 35655. Calculate the remainder when p is divided by 34.
31
Let z be 6*(4/(-8))/1. Let k be 5*(z/(-3) - 0). Suppose 2*p = -k*x + 3*x + 22, x = -4*p + 14. What is the remainder when 19 is divided by x?
9
Let s = -501 + 523. Calculate the remainder when 364 is divided by s.
12
Suppose -2*v - 84 = 3*k - 0*v, 5*v = -4*k - 119. Let s = -14 - k. Calculate the remainder when (-6)/27 + 209/9 is divided by s.
11
Let l be (-1)/(-2) - 125/(-30)*3. Suppose 0 = l*b - 14*b + 26. Suppose 1 = -2*s + 153. Calculate the remainder when s is divided by b.
24
Suppose -11*i + 68 + 31 = 0. Calculate the remainder when 123 is divided by i/(27/(-12)) - -22.
15
Suppose -4*v + 11 = -3*j, 3*v + j + 7 = 6*v. Suppose 0 = -5*i + v*d + 58 + 87, 91 = 3*i - 2*d. What is the remainder when 44 is divided by i?
17
Suppose 4*p - 206 = 2*i, -27*i - 151 = -3*p - 29*i. What is the remainder when 244 is divided by p?
40
Suppose 0 = 7326*l - 7347*l + 630. Let f = 27 - 16. Calculate the remainder when l is divided by f.
8
Let y be ((-158)/4)/((-5)/10). Let k = y - 51. Calculate the remainder when k is divided by (-1 - -2 - 1) + 10.
8
Suppose 5*n - v + 2*v - 377 = 0, -142 = -2*n + 4*v. Let i = -160 + 284. Let h = i - n. Calculate the remainder when h is divided by 17.
15
Let p = -35 - -64. Suppose 3*s = -v + 2*v + 42, 5*s = 2*v + 79. What is the remainder when (v/(-18))/(3/112) is divided by p?
27
Suppose 4*l - 6*l + 6 = 0. Let w(x) = -3*x + 21. What is the remainder when l is divided by w(6)?
0
Let a(k) = -3*k**3 - 19*k**2 + 12*k - 2. What is the remainder when 116 is divided by a(-7)?
8
Let u = 10 + -9. Let l(d) = -6*d**2 + 2*d - 1. Let g be l(u). Calculate the remainder when 1 + 1 + g - -34 is divided by 16.
15
Let o = 255 - 118. Suppose -3*v + 0*t = -2*t - 391, 0 = v + t - o. What is the remainder when v is divided by 35?
28
Let q(l) be the first derivative of -3*l**4/4 - 3*l**2/2 - 2*l + 40. Calculate the remainder when 7 is divided by q(-1).
3
Suppose 2*d = d - 4*p - 21, 4*d - 5*p = 0. Let j = 16 - d. What is the remainder when j is divided by 8?
5
Suppose -5*q + 4*q = -7. Let i(d) = -d**2 + 8*d - 8. Suppose 0 = a + 4*a - 30. What is the remainder when q is divided by i(a)?
3
Suppose 2*y + 0*y - 14 = 2*n, 0 = -5*y + 2*n + 29. Suppose 4*l + 2*p - 16 = 0, -5*l + p + 5 = -1. What is the remainder when y is divided by l?
1
Calculate the remainder when ((-464)/(-20))/((-6)/(-120)) is divided by 118.
110
Suppose -p = 2*w, 0*w + 5*p + 28 = 4*w. Suppose -k = w*k - 9. Let b(t) = -2*t**3 - 46*t**2 + 155*t - 15. Calculate the remainder when b(-26) is divided by k.
2
Suppose 2*v + 4*t = 3*t + 35, 0 = 4*t - 20. Calculate the remainder when (-74*(-1)/6)/(5/30) is divided by v.
14
Let n = -8 - -19. Calculate the remainder when 63 is divided by n.
8
What is the remainder when 259 is divided by 62/3 - ((-88)/(-33) + -2)?
19
Let z(d) = -3*d + 92. Calculate the re