vided by c(-2).
9
Suppose 21 = 3*c - 5*k + 2*k, -k = 0. Suppose 0 = d + d - 40. Suppose -3*s - 8 = -d. Calculate the remainder when c is divided by s.
3
Let v = -724 - -786. Calculate the remainder when 1981 is divided by v.
59
Suppose 4*t - w = 81 - 31, -4*w - 57 = -5*t. Let h = t + -4. Calculate the remainder when 16 is divided by h.
7
Suppose y + 5*s = -24, -s = -2*y + 8 - 1. Let f be (14/(-28))/(y/146). Let n = f - -106. What is the remainder when n is divided by 9?
6
Suppose 0 = 84*t - 91*t + 196. Calculate the remainder when 45 is divided by t.
17
Let a(p) = -p**2 + 20*p + 98. What is the remainder when a(23) is divided by 1/(-6) + 62/12?
4
Suppose 15*a - 33*a = -16*a. Let z(b) = 2*b + 9. What is the remainder when (-2 - -41)/((-3)/(-2)) is divided by z(a)?
8
Let t(g) = g**2 - 20*g + 15. Calculate the remainder when 225 is divided by t(22).
48
Suppose -2*w - 4 = -5*h, w - 4*h - 4 = -12. What is the remainder when (-3 - 5) + 12 - -17 is divided by w?
5
Suppose f - 2*f = 5*o - 473, 2*o - f = 185. What is the remainder when o is divided by 12?
10
Let t = 143 - 141. Suppose -o = -6*o - 5*s + 25, -2*s + 14 = 4*o. Suppose -o*x + 4 = -3*x - 2*a, -4*x = 5*a + 1. Calculate the remainder when x is divided by t.
0
Calculate the remainder when (142/3)/(7/(-21) + 1) is divided by 9.
8
Let b = 172 + -169. What is the remainder when 11 - 1 - (0 - 1) is divided by b?
2
Suppose -2*w + 0*w = -6. Suppose -w*s + 2*p = 4*p - 21, -3*p + 9 = 0. Let b(k) = 3*k + 4. What is the remainder when b(s) is divided by 7?
5
Suppose -8*u - 1177 = -19*u. What is the remainder when u is divided by 51?
5
Suppose 5*t + 2*m = 103 + 409, 3*t - 3*m = 324. Suppose 0 = 2*f + 6*f - 168. What is the remainder when t is divided by f?
20
Suppose -5*j + s + 47 = -4*j, 4*j = s + 194. Calculate the remainder when 145 is divided by j.
47
Let r = 18 - 8. Calculate the remainder when (-10)/(50/(-405)) - -5 is divided by r.
6
Suppose 5*w = 2*w + 63. What is the remainder when 81 is divided by w?
18
Let j = 10 - -5. What is the remainder when 5*(-4)/((-20)/43) is divided by j?
13
Suppose -g = -l, 3*g + 2*l - 16 = 4. Let o(d) = 2*d**3 - 4*d**2 - 3*d + 2. Calculate the remainder when o(g) is divided by 19.
16
Suppose 2*t + 5 = b + 1, 2*b - 26 = -5*t. What is the remainder when 23 is divided by b?
7
What is the remainder when 69 is divided by (-596)/(-16) - (-1)/(-4)?
32
Suppose -m = -2*b + 13, -m = 2*b - 6*m - 33. Calculate the remainder when 86 is divided by b.
2
Let y = 654 + -355. Suppose -2*w + 226 = w - 4*x, 3*x = 4*w - y. Calculate the remainder when w is divided by -1 + -2 + 23 + -1.
17
Let k(s) = s**3 - 14*s**2 + 15*s + 2. Suppose -10 = 3*w + 5, l - 23 = 2*w. What is the remainder when 111 is divided by k(l)?
27
Let l = 153 + -115. What is the remainder when l is divided by 38?
0
Let y(f) = -2*f + 10. Let l be y(5). Suppose l*p = p - 5. Suppose -p*q = -8*q + 114. What is the remainder when q is divided by 8?
6
Calculate the remainder when 173 is divided by 4 + -1 + -5 - (-8 + 1).
3
Let f = -202 + 233. Calculate the remainder when 526 is divided by f.
30
Let m(c) = -c**2 + 13*c - 8. Let d be m(12). Suppose d*f + 385 = 9*f. What is the remainder when f is divided by 26?
25
Suppose 317*p + 11 = 318*p. What is the remainder when 22 is divided by p?
0
Suppose 4*x + 52 = 264. Suppose 4 - 38 = o. Calculate the remainder when x is divided by (-153)/o*(0 - -4).
17
Calculate the remainder when 56 is divided by (-806)/(-39)*(-6)/(-4).
25
Let z = 48 + -17. Suppose -5*v + 3 = -4*v. Suppose -23 = -v*o + z. What is the remainder when 33 is divided by o?
15
Let c = -346 - -382. What is the remainder when c is divided by 8?
4
Suppose -5*y - 5 + 15 = 0. Suppose -2*k - k + 1 = y*s, 3*k + 23 = s. Calculate the remainder when 15 is divided by s.
7
Let v = 31 - 19. Let o(y) = 48*y - 2. Let z(u) = u - 1. Let n(b) = o(b) - 3*z(b). Calculate the remainder when n(1) is divided by v.
10
Suppose 4*u - 34 = 2. Suppose 2*r - 7*r - 3*n = 2, 2*r = -n. Suppose 0 = 3*h + 7 + r, 169 = 5*f + 2*h. Calculate the remainder when f is divided by u.
8
Suppose -12 = 4*d, -2*j - d + 97 + 18 = 0. Suppose 38 = 3*y + a, 6*a - 9*a = 4*y - j. Calculate the remainder when y is divided by 1/(-1) - (1 + -5).
2
Let h = -22 - -35. Calculate the remainder when 48 is divided by h.
9
Suppose 3*f - 2 = 4. Suppose f*h + 16 = 5*j, -5*j + 1 - 21 = 0. Let l = -4 - h. What is the remainder when l is divided by 8?
6
Let p(z) = 7*z + 191. What is the remainder when p(-20) is divided by 6?
3
Suppose 2 = y + h, h - 9 = 4*h. Let x(a) = -a**3 - 13*a**2 + 15*a + 28. Calculate the remainder when x(-14) is divided by y.
4
Let f = -6 - -11. Suppose 5 = f*o + 5*y, o - 1 = 3*o + 3*y. Suppose o - 72 = -4*c. Calculate the remainder when c is divided by 9.
8
Let y(f) = -f**3 - 8*f**2 - 12*f + 3. What is the remainder when y(-7) is divided by ((-4)/6)/(7/(-105))?
8
Suppose 190 + 83 = 3*d. Calculate the remainder when d is divided by 13.
0
Suppose l - 1 = 3*k - 19, -5*l = 3*k - 36. Let t = 49 - -107. Suppose s = -5*s + t. What is the remainder when s is divided by k?
5
Let u be ((-2)/(-1) - 2) + -66. Let q = u + 124. Calculate the remainder when q is divided by (-490)/(-25) - (-44)/110.
18
Suppose -2*r + 9 = -7. Suppose -r*c = c - 414. What is the remainder when 137 is divided by c?
45
Suppose 120 = 43*q - 23*q. What is the remainder when 22 is divided by q?
4
Let t(o) = -o**2 + 19*o - 17. Let w be t(8). Let y = -57 + w. What is the remainder when 52 is divided by y?
10
Let f be (-15)/(-4) - (-5)/20. Suppose 3*p - 15 = -2*l, -5*p + l - f*l = -26. Calculate the remainder when 12 is divided by p.
5
Suppose -900 = -5*l + 8*l. Let t = -105 - l. What is the remainder when t is divided by 18?
15
Let b = 1676 - 1671. Suppose -3*o + 44 = -o. What is the remainder when o is divided by b?
2
Let r = 909 - 896. What is the remainder when 4/6*(-111)/(-2) is divided by r?
11
Let k be 150 + 1*(3 + 1). Suppose -35 = -3*f + k. What is the remainder when f is divided by 16?
15
Let d(t) be the third derivative of -t**5/60 - t**4/2 - 5*t**3/2 - 3*t**2. Calculate the remainder when 60 is divided by d(-8).
9
Suppose 191*k + 432 = 227*k. Calculate the remainder when 605 is divided by k.
5
Let c = 157 - -390. Calculate the remainder when c is divided by 139.
130
Let q(o) = o**3 - 9*o**2 + 3*o - 19. Calculate the remainder when 214 is divided by q(9).
6
Suppose 0 = 2*c - 42 + 16. Let z(u) = -2*u**2 + 9. Let j be z(0). Suppose -c*s + 196 = -j*s. What is the remainder when s is divided by 25?
24
Suppose 4*j = -2*y + 82, 4*j = -j + 5*y + 80. What is the remainder when 169 is divided by j?
17
Let f(o) = -o**3 - 4*o**2 + 47*o - 7. Let h = 90 - -6. Calculate the remainder when 8/(-20) - h/(-15) is divided by f(5).
0
Let u(j) = 5*j**3 + 51*j**2 - 6*j - 32. What is the remainder when 136 is divided by u(-10)?
8
Let p be 5/((-20)/(-8))*(4 + -1). Let d = 12 - p. What is the remainder when 76 is divided by d?
4
Suppose -60*w + 64*w - 20 = 0. Let k(z) = -z**3 - 6*z**2 - 6*z + 3. What is the remainder when k(-5) is divided by w?
3
Suppose 41 = 2*k - 5*d, -3*d = 4*k - 0*k - 69. Calculate the remainder when 44 is divided by k.
8
Let u(h) = -2*h**3 + 114*h**2 + 4*h - 94. Calculate the remainder when u(57) is divided by 75.
59
Let j(k) = 15*k + 329. Suppose -4*m + 4 = -0*m. Calculate the remainder when j(-19) is divided by 17 + -1 + (1 - m).
12
Calculate the remainder when (6 - -1)*(-3)/((-42)/470) is divided by 7.
4
Let v be 1/(-2) + 5625/30. Suppose c - v = -3*q - 3*c, -365 = -5*q + 4*c. Let y = q + -24. What is the remainder when y is divided by 16?
13
Let q = -932 - -944. Suppose -4*t - 4*f + 152 = 0, 5*t - f + 2*f - 210 = 0. What is the remainder when t is divided by q?
7
Suppose 0 = -4*t + 8, 4*t + 298 = 3*b + 12. Calculate the remainder when b is divided by 34.
30
Suppose 5*b = -o - 6 + 24, 0 = -2*o - 4*b + 18. What is the remainder when 26/o - 13/(-39) is divided by 2?
1
Let n = -4 - -20. Let a(g) be the first derivative of g**3 + 2*g**2 - 2*g - 1. Calculate the remainder when a(4) is divided by n.
14
Suppose -a + 46 = 2*m, -7*m + 2*a = -10*m + 69. Calculate the remainder when 113 is divided by m.
21
Let t(k) be the second derivative of -k**4/6 - 7*k**3/3 - 15*k**2/2 + 28*k. What is the remai