emainder when 79 is divided by s.
9
Suppose -4*r - 47 = -4*i - 3, -5*r + 17 = 4*i. Calculate the remainder when 22 is divided by 14*(-4)/16*i/(-7).
2
Let n = 5303 + -4604. What is the remainder when n is divided by 69?
9
Suppose 2*q = 5*v + 28 - 53, 5*q + 4*v - 53 = 0. Calculate the remainder when 262 is divided by q.
2
Let y(h) = 425*h - 1886. What is the remainder when y(10) is divided by 11?
10
Let y(z) = 5*z**2 + 154*z + 812. Calculate the remainder when y(-34) is divided by 44.
36
What is the remainder when 6957 is divided by 13 + (20 - 11) + -14?
5
Suppose 2*q = -2*p + 28, -2*p = -2*q + 3 - 23. Suppose 2*t = 5*u + 32, -3*u + p*t = 16*t + 14. Calculate the remainder when (-4)/6 - 2014/u is divided by 48.
47
Let n(z) be the third derivative of z**4/12 - z**3/3 + 5*z**2. Let u be n(-1). What is the remainder when 45 + (u - 0/4) is divided by 14?
13
Suppose 4*z = -4*u + 1384, 0*z = -u - 5*z + 330. Suppose -2*f = x - 103, 0 = -4*x + 5*f + 114 + u. What is the remainder when x is divided by -1 + -2 - -31*1?
27
Let n be (-1)/((-2)/(-3532)*(1 + -3)). Let b = n - 869. What is the remainder when 107 is divided by b?
9
Let q = 2887 + -2726. Calculate the remainder when 941 is divided by q.
136
Suppose -2*g + 10 = v, 4*g = v - 320 + 328. Let j = 10 - 7. Suppose -2*d + 29 = 3*b + 3, v*b - 39 = -j*d. Calculate the remainder when 38 is divided by d.
12
Suppose -1193 = -34*i + 133. What is the remainder when 163 is divided by i?
7
What is the remainder when 1209 is divided by 5985/114 + (-2)/4*(0 - 1)?
43
Let c(s) = -s**3 + 11*s - 4. Let b be c(3). Suppose -b*y = -3*a, -5*a + 10 = -0*a. Calculate the remainder when 21 is divided by y.
0
Suppose 150 = -11*s + 12*s. Let j be ((-7)/((-35)/4))/((-2)/s). Let f = -7 - j. What is the remainder when f is divided by 18?
17
Let f = 10 + -6. Suppose -112 = -f*s - 32. What is the remainder when (-741)/26*12/(-9) is divided by s?
18
Let b(r) = -r**3 + 6*r**2 - 2*r - 5. Suppose 2*w - 67*a = -70*a + 370, 4*a - 550 = -3*w. Calculate the remainder when w is divided by b(4).
18
Let i be 100/(-8)*12/(-30). Suppose 19*d + 8 = 17*d, 5*d + 1365 = i*p. Calculate the remainder when p is divided by 69.
62
Suppose 0*c - 4*c + 4*f = -8, 1 = 2*c - f. Let b be c + (-17)/(-4)*2*6. Suppose 306 = 4*k - b. Calculate the remainder when k is divided by 9.
8
Let w = -19686 - -19733. What is the remainder when 1253 is divided by w?
31
Let c(f) = -f**2 + 11*f + 35. Let v = 47 - 36. Let r be c(v). Suppose a = -6*a + r. Calculate the remainder when 12 is divided by a.
2
Let u be ((-1014)/117)/((-2)/39). Let o = u + -159. Let b = 19 - -39. What is the remainder when b is divided by o?
8
Let s be 1 - -8 - (1 + 4). Suppose -4*i - 40 = i + s*b, 0 = -3*i + 3*b + 3. Calculate the remainder when -1 + 2 - (4 + i + -96) is divided by 34.
29
Let q = -54 + 123. Suppose 2*f + 2 = 0, 4*x + 0*x - 13 = f. Suppose -16 = -i + 2*w, 0 = -x*i + 4*w + 61 - 5. What is the remainder when q is divided by i?
21
Suppose 2*v = 2992*t - 2994*t + 24, 2*t - v + 6 = 0. Calculate the remainder when -2 + 2 + -2 + 8 is divided by t.
0
Let y(l) = l**3 - 3*l**2 + 33*l - 358. What is the remainder when y(9) is divided by 11?
7
Suppose 0 = -2*z + 2*h + 1 + 3, 4*z - 2*h - 6 = 0. Calculate the remainder when (2 - z)*9/(-6)*-60 is divided by 13.
12
Let t(r) be the first derivative of -r**2 + 22*r + 18. Let a be t(10). Suppose -a*d = -0*d - 46. What is the remainder when 85 is divided by d?
16
Let x(g) = 2*g**2 - 1. Let b be x(1). Suppose 6 = 3*d - a + 1, a = d + b. What is the remainder when 11 is divided by -12*(2 + (-7)/d)?
3
Let c = 19 + 212. Suppose -63*v = -68*v + 90. Calculate the remainder when c is divided by v.
15
Suppose 0 = -0*r - r + 1, u = -3*r - 5. Let w(v) = v**3 + 33*v**2 + 32*v + 7. Calculate the remainder when (-177)/u + (-7)/56 is divided by w(-32).
1
Let t be (-2 + 4 - 0) + 0/3. Suppose -3*z - 1 = f - 4, t*z + 2 = -2*f. Calculate the remainder when 66 is divided by 34*((-2)/(-6) - f/18).
15
Let w = -365 + 393. What is the remainder when 51 is divided by ((-91)/w)/((-10)/40)?
12
Suppose l - 11*y + 10*y - 26 = 0, -5*l + y = -110. What is the remainder when (5408/112)/(3/l) is divided by 68?
66
Let l = -5582 + 5752. What is the remainder when l is divided by 21?
2
Let w(i) = -32 + 21*i**2 + 4*i - 14*i**2 - 6*i**2. Calculate the remainder when 133 is divided by w(6).
21
Suppose 0 = 2*l + 39*q - 44*q - 7, -5*q = -30*l + 595. Let v = 3 + -1. Calculate the remainder when l is divided by v.
1
Let v(d) = 1503*d - 8847. What is the remainder when v(6) is divided by (-346)/(-14) - (-4)/14?
21
Let f(h) = h**3 - 3*h**2 + 3*h - 4. Let z be 2/(-2) - 12/(6/(-2)). Let l be f(z). Suppose 2 - 22 = -l*d. What is the remainder when 10 is divided by d?
2
Let k(d) = d**3 + 38*d**2 + 223*d - 54. What is the remainder when k(-24) is divided by 10?
8
Let c(t) = -33*t - 1 - 34*t**3 + 16*t**3 + 19*t**3 - 9*t**2 - 8 - 8. What is the remainder when 298 is divided by c(12)?
13
Let w(u) = 185*u - 372. Let s be w(2). Suppose p - 5*q = -17 - 11, 4*q - 32 = 2*p. Calculate the remainder when -3*s/p - (-887)/4 is divided by 56.
53
Let x = -9925 - -10116. What is the remainder when x is divided by 172?
19
Suppose 0*g + 4*j + 23 = g, 0 = -4*j - 12. Let w(u) = u**3 + 8*u**2 - 3*u - 18. Calculate the remainder when w(-7) is divided by g.
8
Let r = -3380 + 3423. Calculate the remainder when 217 is divided by r.
2
Suppose 3*q = m + 5, 4*m = -q + 8*m - 13. Suppose -q = -4*b - 15, 0 = -4*v - 2*b + 434. What is the remainder when v is divided by 38?
34
Suppose 2*a = -4*g + 2694, -4*a + 267 = 4*g - 2433. What is the remainder when g is divided by 15?
12
Let l(a) = a**3 + 24*a**2 - 28*a - 43. What is the remainder when l(-25) is divided by 9?
5
Let u(v) = v**2 + v + 31. Suppose 10 = 2*l - 10. Suppose 71 - 11 = -l*j. Calculate the remainder when u(j) is divided by 21.
19
Suppose 205 = 12*q - 530 + 291. Suppose -5*y + 3*x = -55, -y + 16 = -5*x - 17. Calculate the remainder when q is divided by y.
5
Suppose -1 = 2*y - 9. Suppose c - 4*m + 5 = -7, -y*c + 24 = 2*m. What is the remainder when 28/42*(-90)/(-4) is divided by c?
3
Suppose 0 = -9*v + 326 - 299. Suppose v*l + 0*l = -3*p + 123, -p - 187 = -5*l. What is the remainder when 645 is divided by l?
37
Suppose 4*n - 8*p + 10*p = 42, -n + 3*p = -21. What is the remainder when 130*6/8*(-48)/(-8) is divided by n?
9
What is the remainder when 690 is divided by 98/(-637) + 1874/13?
114
Let k(v) = 15*v - 28. Let y be k(-8). Let c = y - -277. Suppose 2*h - 48 + 4 = 0. Calculate the remainder when c is divided by h.
19
Let v = -6723 - -6798. What is the remainder when 1020 is divided by v?
45
Let u = -21939 - -21948. Let i(h) = -11*h - 2. What is the remainder when i(-4) is divided by u?
6
Let i(d) = d**3 + 111*d**2 + 107*d - 96. Calculate the remainder when 715 is divided by i(-110).
13
Let z = 48 - 44. Suppose -2*a = 3*b + 1 - 29, z*a = -5*b + 48. What is the remainder when 86 is divided by b?
6
Suppose -n + 2*f - 5*f = -89, -5*n + f = -477. Suppose 11*t = 16*t - n. Calculate the remainder when (-47 - 0)/(-6 - -2 - -3) is divided by t.
9
What is the remainder when 2524 is divided by ((-1260)/(-378))/(10/1086)?
352
Suppose 2*f = -f + 33. Suppose 3*i + 2*v = 84 - f, -4*i - 4*v = -96. Calculate the remainder when i is divided by 4.
1
Suppose 4*n = 7*n + m - 2327, n = m + 769. What is the remainder when n is divided by 253?
15
Suppose -4332 = 4*o - 23*o. Suppose o = 7*b - 94. Calculate the remainder when 142 is divided by b.
4
Let z be -87 + 93 - (3 + (2 - 1)). What is the remainder when (-2)/3*(5 - 97/z) is divided by 9?
2
Let w(k) = k**3 + 8*k**2 + 10*k + 13. Let z be w(-7). Calculate the remainder when 2/(z/(-996)*3) is divided by 43.
40
Let o(b) = b**2 + 2*b. Let u(m) = m**3 + 10*m**2 - m - 23. Let x(h) = -2*o(h) + u(h). Calculate the remainder when x(6) is divided by 38.
33
Let k be 7/(14/36)*-9. Let u = k + 175. Calculate the remainder when 72 is divided by u.
7
Suppose i + 128 - 136 = 2*c, 3*c - 9 = 0. Let l = -27 + 74. Suppose 290 - l = 3*a. What is the remainder when a is divided by i?
11
Let y be -2 + 2/(-2) - (-612)/68. Let x(h) = 42*h - 9. Calculate the remainder when x(y) is divided by 4.
3
Suppose -p + 34 = 5*q + 9, -3*p = -5*q + 5. Suppose -w = q*w - 53