der when w is divided by b.
6
Let v = 13 - 8. Let p(d) = d**2 - 4*d - 3. Let n be p(-5). Let t = -28 + n. What is the remainder when t is divided by v?
4
Suppose 3*r - 12 = 3*g, 7*r - 10 = -5*g + 2*r. Let v(p) = 133*p**2 + 8*p + 8. Calculate the remainder when v(g) is divided by 34.
31
Let x = 1971 - 1941. Calculate the remainder when 478 is divided by x.
28
Suppose 93 = -3*w + 3*r, -2*w - 2*r = -7*r + 56. Let j = w + 48. What is the remainder when 132 is divided by j?
12
Let g(o) = -2*o + 3 - o**2 + 1 - 7*o - 2*o. Calculate the remainder when g(-10) is divided by 4.
2
Let l be 0/(0 + 12/4). Suppose 3*d - 10 + 2 = -4*u, l = -u + 2*d + 2. What is the remainder when 58 is divided by (-30)/(u + 14/(-4))?
18
Let m = -943 + 964. Calculate the remainder when 37 is divided by m.
16
Let a(x) = -x**3 + 7*x**2 + 14*x + 22. What is the remainder when a(8) is divided by 47?
23
Suppose 0 = -4*q + 4*t + 100, -5*q - 5*t + 125 = -8*t. What is the remainder when 96 is divided by q?
21
Let r(b) = -8*b - 4. Let k = 504 - 498. What is the remainder when r(-3) is divided by k?
2
Suppose -239*q + 191*q = -2832. What is the remainder when 637 is divided by q?
47
Let f = -96 - -107. Calculate the remainder when 54 is divided by f.
10
What is the remainder when 128 is divided by (-31)/(-5) + -6 - (-329)/5?
62
Let j be 2/(-12) + 50/12. Let s(v) = -v**2 + 6*v - 4. Let d be s(j). Suppose 7*q - 24 = d*q. What is the remainder when 30 is divided by q?
6
Suppose 2*m + 2 + 0 = 0, 0 = z - 2*m - 2. Let h be z*1*(-1 - 0). Suppose c - f + h*f = 100, -3*c - f = -292. Calculate the remainder when c is divided by 25.
23
Suppose 5*i + 3 = -c + 6*i, c - 22 = -4*i. Suppose 0 = 4*h - c*b - 34, -h + 2*b + 11 = b. What is the remainder when 23 is divided by h?
5
Let j(d) = 11*d**2 + d. Let g be j(-1). Suppose -g = -5*b + 25. What is the remainder when 12 is divided by b?
5
Let x = -15 - -21. Suppose x*u = -3*g + 2*u + 493, 4*g - 3*u = 674. Calculate the remainder when g is divided by 42.
41
Let l(k) = -k + 3 + 7*k + 7*k. Let z(d) = -6*d - 1. Let y(a) = -2*l(a) - 5*z(a). Calculate the remainder when y(8) is divided by 11.
9
Let t(p) = p**2 + 4*p - 319. Calculate the remainder when 127 is divided by t(17).
13
Let w = 5 + 1. Let n be (w - 4)/(2/(-7)). Let j = 23 + n. Calculate the remainder when 47 is divided by j.
15
Suppose 3*j + 78 = 2*w + 7*j, -3*w + 3*j = -81. Suppose -2*a - 2 = -6. What is the remainder when w is divided by a/(4/(-2))*-8?
7
Suppose d - 147 = -2*d. Suppose -159 = 2*c - 5. Let h = c - -94. Calculate the remainder when d is divided by h.
15
Let d(t) = t**3 - 16*t**2 + 62*t + 10. What is the remainder when d(12) is divided by 13?
9
Suppose -17*l = -20*l - 2*s + 532, 4*l + 3*s = 709. Calculate the remainder when l is divided by 60.
58
Let d = -260 - -278. What is the remainder when 88 is divided by d?
16
Let v(m) = m**2 - 17*m - 27. Let p be v(23). Let f = p + -101. What is the remainder when 49 is divided by f?
9
Let u be ((-2)/(-6))/((-3)/9). Let a(c) = -60*c**3 + 1. Let y be a(u). Suppose -3*q - 20 = -g, -g + 3*g = -q + y. What is the remainder when 56 is divided by g?
27
Suppose p = -o + 79, 0 = 3*p - 2*p + 5*o - 67. What is the remainder when p is divided by 31?
20
Let s = 51 - 35. Suppose -c - s = -2*x, 2*x - 4*c - 34 = -3*x. What is the remainder when x is divided by 3?
1
Let b(d) be the third derivative of -d**5/60 + 3*d**4/8 - d**3/3 - 3*d**2. Let t be b(6). What is the remainder when 8/t + (-119)/(-2) is divided by 9?
6
Suppose -5*q + 5 = 0, 0 = -4*d - 0*d - 4*q + 224. Calculate the remainder when d is divided by 14.
13
Suppose 0 = 5*p + 2*d - 45, -p + 4*d = p - 18. Suppose -2*a = -82 - 174. Suppose 2*u - a = -2*u. What is the remainder when u is divided by p?
5
Let l = 24 - 12. Let b = 21 - 21. Suppose a + 3*s - 44 + 7 = b, -s + 170 = 4*a. What is the remainder when a is divided by l?
7
Suppose -5*z + s - 44 = 92, 5*z + 152 = -3*s. Let y = z + 47. Calculate the remainder when 54 is divided by y.
16
Let x = -59 - -63. Calculate the remainder when 63 is divided by -15*(-511)/231 + x/(-22).
30
Suppose 2*q - 5 - 21 = 0. Let m(l) = -5*l - 4. Calculate the remainder when q is divided by m(-2).
1
Suppose -22440 = 2*j - 24*j. What is the remainder when j is divided by 73?
71
What is the remainder when 1028 is divided by 6/57 - 7432/(-152)?
48
Suppose 50*m + 56 = 52*m. What is the remainder when 194 is divided by m?
26
Let g(x) be the second derivative of x**4/4 + 2*x**3/3 + 5*x**2/2 - x. Let k = -244 + 352. Calculate the remainder when k is divided by g(-4).
34
Let c = 16 - -11. What is the remainder when c is divided by (-114)/(-12) + 8/16?
7
Let k(i) = -4*i + 78. Suppose -5*j + 3*t = -200, 5*j = t - 10 + 210. What is the remainder when j is divided by k(14)?
18
Suppose 0 = 3*a + 5*w - 157, 5 = -0*w - 5*w. Let b = -6 + 20. What is the remainder when a is divided by b?
12
Let s(x) = x**3 + x**2 + 2*x + 5. Suppose -14*z + 20*z = 0. Calculate the remainder when 47 is divided by s(z).
2
Suppose -4*j + 6*w = 8*w - 72, -j = -5*w - 7. Suppose -1 = -3*m - 46. What is the remainder when j is divided by m/(-2) + (-15)/10?
5
Suppose 0 = 4*o + 2*u - 380, 123*u - 466 = -5*o + 125*u. Calculate the remainder when o is divided by 10.
4
Let w(a) = 23*a**2 + 8*a + 13. What is the remainder when w(-3) is divided by 22?
20
Suppose -3*i + 15 = 0, -6 = -d + i + 1. Calculate the remainder when d is divided by 3.
0
Let v(f) = -2*f**2 + 11*f + 9. Let x be v(6). Suppose -4*m + 4 = 2*w, 4*w = 3*w - x*m + 1. Calculate the remainder when 16 is divided by w/(-18) + 1826/198.
7
Let h = 66 + -34. Calculate the remainder when 116 + 22 + (-4 - 8) is divided by h.
30
Suppose -2*m = -150 + 94. What is the remainder when 305 is divided by m?
25
Suppose -4*m - 5*a + 30 = -3*m, 0 = 4*m - 3*a - 28. Suppose 10*d - 5*d = 335. What is the remainder when d is divided by m?
7
Let i be (2/4)/((2 + -1)/4). Let h(l) = 2*l**3 - 4*l**2 + 4*l. What is the remainder when h(3) is divided by (-18 + i)*(0 - (-3)/(-3))?
14
Calculate the remainder when 271 is divided by (-6)/(5 - 927/180).
31
Suppose 2*v - 132 - 186 = 0. Suppose -24 - 3 = -u. Calculate the remainder when 3/1*v/9 is divided by u.
26
Let h(z) = 2*z**3 + 37*z**2 - 14*z - 19. Calculate the remainder when h(-18) is divided by 13.
11
Let v(q) = -q**2 + 10*q - 14. Calculate the remainder when 76 is divided by v(3).
6
Suppose t - 2*q = -3*t + 110, -46 = -2*t + 4*q. Let g = t - 25. Calculate the remainder when 23 is divided by g.
3
Let o(z) = -z**3 + 4*z**2 + 2*z + 2. Let j be 7 + (-15)/(6 - 1). Suppose 3*y = 2*l + 10 + 34, 0 = 3*l - 15. Calculate the remainder when y is divided by o(j).
8
Let w(l) = -2*l**3 - 3*l - 6. Let x be w(-3). Suppose 1 = -7*b + x. Calculate the remainder when b is divided by 5.
3
Let n(y) = -2*y**2 - 8*y - 9. Let m be n(-4). Let c be (-5)/(-15) + (-42)/m. Suppose s - c*s = -140. What is the remainder when 67 is divided by s?
32
Let l = 3 + 2. Suppose -l*h + 2*h + 18 = 0. Calculate the remainder when h is divided by 2/9 + 102/27.
2
Let x = 14149 - 14121. What is the remainder when x is divided by 14/5 - 1/(-5)?
1
What is the remainder when 2756/26 + (-16)/(-4) is divided by 35?
5
Let x(m) = m**3 - 13*m**2 - 13*m + 217. What is the remainder when x(13) is divided by 28?
20
What is the remainder when 229 is divided by 99 + (-5 - (-3)/(-1))?
47
Suppose 39*r - 40*r = 4*j - 138, 0 = 2*j - 2. What is the remainder when r is divided by 33?
2
Let u(i) = -i**2 + 12*i + 5. Calculate the remainder when 556 is divided by u(11).
12
Suppose -4*n + 5*k + 56 = -3431, n - 2*k = 868. What is the remainder when n is divided by 17?
11
Let o(n) = n**3 + 9*n**2 + 8*n + 17. What is the remainder when o(-7) is divided by 30?
29
Let a = -13 - -19. Let x = 38 + 4. Suppose -84 = -4*l - 5*n, 3*n + n + x = 2*l. Calculate the remainder when l is divided by a.
3
Let i(r) = r**3 + 6*r**2 - 9*r - 17. Calculate the remainder when 162 is divided by i(-4).
9
Let d(j) = 50*j - 28. Let n be d(6). Suppose 0*v = 8*v - n. What is the remainder when 66 is divided by v?
32
Calculate the remainder when 42 is divided by (-7)/(-21) + 3 + 106/6.
0
Suppose -18*b = -16*b - 24. Suppose 10*r + b*r = 4334. Calculate the remainder when r is divided by 11.
10
Let j(f) = -33 - f**3 - 5*f + 5