 5. Let z(w) = w**2 + w - 2. Let y(v) = 2*v**2 + v - 5. Let m(x) = 3*y(x) - 7*z(x). Calculate the remainder when 2 is divided by m(l).
0
What is the remainder when -6*(95 + -1)*(-34)/102 is divided by 19?
17
Suppose -115 = -13*o + 2. What is the remainder when 95 is divided by o?
5
Let s be 2*(15/6 + 0). Suppose -s*k - 5*c = -3*k - 23, -3*c + 5 = -k. Calculate the remainder when 8 is divided by k.
0
Let s(u) = -5*u - 6. Let d be s(-8). Let h = d - 30. Calculate the remainder when 4 is divided by h.
0
Let w(j) = j**3 - 7*j**2 - 11*j + 20. Let i be w(9). Suppose 23 = -4*q + i. What is the remainder when q is divided by 6?
3
Suppose 3*r - r = -5*k + 92, 3*r - 2*k = 176. What is the remainder when 166 is divided by r?
54
Suppose 13*l - 4*l - 4365 = 0. Calculate the remainder when l is divided by 61.
58
Suppose 2*y + 4*m - 24 = 2*m, 0 = m. Let l(r) = r + 1. Calculate the remainder when 90 is divided by l(y).
12
Let t(p) = p**2 - 5*p + 6. Suppose 2*n = 2*o + o - 1, -3*n + 26 = o. Let s be t(n). Let q = s - 9. Calculate the remainder when q is divided by 7.
4
Calculate the remainder when 63 is divided by (5/2)/(8/((-480)/(-25))).
3
Let g(i) be the second derivative of -i**5/20 - i**4/4 + i**3/6 - 6*i**2 + 3*i. What is the remainder when g(-7) is divided by 60?
57
Let m be ((-2)/(-4))/(21/(-98))*6. Let v = m - -49. Calculate the remainder when 101 is divided by v.
31
Let i be (-1)/1*0/1. Calculate the remainder when 11*13 + -1 - i/(-22) is divided by 24.
22
Let j be (-24)/(-9)*3/2. Suppose o = r - 62, r + 3*o - 302 = -j*r. Let z = -3 + 24. Calculate the remainder when r is divided by z.
19
Suppose 6*k - 7*k = -4. Suppose -7*a + 67 = -3*a + r, k*r - 92 = -5*a. What is the remainder when a is divided by 7?
2
Let x be 2/(-4)*-1*-10. Let u(z) = 2*z**2 + 7*z + 1. Suppose -3*s + 35 = -2*v, 3 + 8 = -s - 5*v. Calculate the remainder when u(x) is divided by s.
7
Let d(t) = -19*t**3 + t**2 + 2*t. Let u be d(-1). Suppose -13*n + u*n = 50. Calculate the remainder when 39 is divided by n.
9
Let i be 6/(-4 + 1) - -95. Suppose c = 4*c - i. Suppose -v - 1 = 0, 0 = -3*t + v - 3*v + 46. Calculate the remainder when c is divided by t.
15
Let h be 852/30 - (-6)/(-15). Suppose -26*t - 14 = -h*t. Calculate the remainder when 13 is divided by t.
6
Let f = -305 - -350. Calculate the remainder when f is divided by 15.
0
Suppose -4*o + 3*r + 23 - 11 = 0, 12 = 3*r. What is the remainder when 688 is divided by o?
4
Let w(h) = h**2 - 9*h - 18. What is the remainder when 84 is divided by w(-4)?
16
Let q(u) = -3 + 1 - 2*u**3 - 5*u**2 + u**3 - u. Let y(f) = f**2 + 4*f - 17. Let r be y(-6). Calculate the remainder when 5 is divided by q(r).
2
Let k = -1 - -4. Suppose 2*y = -4*l + 26, -2*l - 2*y + 0*y = -14. What is the remainder when l is divided by k?
0
Let n be (-26)/(-7) - (-4)/14. Suppose -n*r - 10 = -70. Suppose 4*b + u - 216 = -48, -3*b = -u - 133. Calculate the remainder when b is divided by r.
13
Let b be 2*3/(-6) - -1. Suppose k - 62 = -3*p, -2*k + b*k = 2*p - 104. Let j = -33 + k. What is the remainder when 55 is divided by j?
13
Suppose 54 = 20*l - 11*l. Let s = -15 + 25. Calculate the remainder when s is divided by l.
4
Let o(v) be the second derivative of -v**3/6 + 3*v**2/2 + 2*v. Let f be o(9). Calculate the remainder when ((-4)/f)/(2/201) is divided by 14.
11
Let v(h) be the first derivative of 3*h**2/2 - 51*h + 9. What is the remainder when 62 is divided by v(24)?
20
Suppose 8 = 2*v, 11*q = 8*q - 4*v + 64. Let l = -2 - -5. Suppose -c - 22 = -l*i - i, i + 2*c - 10 = 0. Calculate the remainder when q is divided by i.
4
Suppose -3047 = -2*w - 2*j + 149, -6*j + 6390 = 4*w. Calculate the remainder when w is divided by 5.
4
Let u(q) = -2*q - 13. Let v be u(-10). Suppose v*f = 12*f - 110. What is the remainder when 129 is divided by f?
19
What is the remainder when (760/6)/(-15*20/(-450)) is divided by 51?
37
Suppose 2*y - 1121 + 825 = 0. Calculate the remainder when y is divided by 96.
52
Suppose -3*n + 50 - 11 = 0. Calculate the remainder when -5*(6 + -2 + -12 + 3) is divided by n.
12
Let v(r) = -3*r + 14. Let m(c) = -5*c + 28. Let l(q) = 4*m(q) - 7*v(q). Calculate the remainder when l(-5) is divided by 3.
0
Let k be 4/3*30/20. Suppose 0*v - k*v = -8. Suppose 2*m - 4*z - 17 = -9*z, z = -v*m + 61. Calculate the remainder when 28 is divided by m.
12
Let j be ((-6)/(-4) + -1)*(15 - -7). Suppose 304 + 257 = j*v. What is the remainder when v is divided by 26?
25
Let v = 2115 + -1076. What is the remainder when v is divided by 116?
111
Let y(t) = -3*t + 48. Let m be y(8). What is the remainder when 25 is divided by (39/(-52))/((-2)/m)?
7
Let r be 546/22 - (-22)/121. Suppose -r*q + 24*q + 29 = 0. Calculate the remainder when q is divided by 19.
10
What is the remainder when 3*-5*434/(-21) is divided by 39?
37
Let x = 90 - 64. What is the remainder when x is divided by (15/(-5) + -4)*-2?
12
Suppose -2*p + 0*x - 5*x = -68, 0 = p - 4*x - 60. Let d = p + -31. What is the remainder when (-2)/4 - 103/(-2) is divided by d?
12
Suppose -2*j - 4*g = 8, -g - 21 = -3*j + 4*g. Suppose 3*i = j*i + 8. Calculate the remainder when 14 is divided by i.
6
Suppose 387 = 6*r - 357. Suppose 9*p - r = 65. Calculate the remainder when 62 + 4/(-6)*3 is divided by p.
18
Let j = 261 - 255. What is the remainder when 94 is divided by j?
4
Suppose -3*k = -3*j, -3*k + 2*j = 4 - 1. Let u be (k/(-3) - -33) + -2. Suppose -u + 7 = -5*r. Calculate the remainder when 13 is divided by r.
3
Let v = -20 + -9. Let w = v + 51. Suppose -l = 2*t - 6*t - 62, 4*l - 143 = -5*t. What is the remainder when l is divided by w?
20
Let y(a) = -a**2 + 5*a + 6. Let b be y(8). Let d = -18 - b. Suppose -2*v + d = -2. What is the remainder when 3 is divided by v?
0
Let a = 131 + -127. Let r = 3 + 1. Let g = 10 + r. What is the remainder when g is divided by a?
2
Suppose 3562 = 18*s + 448. What is the remainder when s is divided by 6?
5
Let j = -28 - -68. Suppose 3*g - 4 = -5*k + 35, -4*k = -2*g - j. Calculate the remainder when 34 is divided by k.
7
Suppose -6*n + 4*g - 60 = -8*n, -5*g = 4*n - 129. Calculate the remainder when n is divided by 13.
10
Suppose -3*p + 6*p = 30. Suppose 0 = -107*r + 112*r + 4*t - 23, -20 = -4*r - 4*t. Calculate the remainder when p is divided by r.
1
Let r(y) be the first derivative of -y**4/2 + y**3/3 + 13*y**2/2 + 4*y - 53. Calculate the remainder when 55 is divided by r(-3).
27
Suppose -31*i = -32*i + 62. What is the remainder when 110 is divided by i?
48
Let x = -8169 + 8186. What is the remainder when 584/14 - (-6)/21 is divided by x?
8
Suppose -927 = -64*m + 61*m. Calculate the remainder when m is divided by 78.
75
Let j be 0 + 1 + -2 + -9. Let b be 22/4 + 5/j. What is the remainder when 4*1 - (-120)/b is divided by 5?
3
Let u(s) = -3*s**2 - 54*s - 32. What is the remainder when 128 is divided by u(-17)?
14
Suppose -2*l + 3*c - 2 = -24, 4*l = -c + 16. Suppose l*m - 17 = 133. Calculate the remainder when m is divided by (-4)/(-2 + (-6)/(-4)).
6
Let g(f) = -13*f + 20. What is the remainder when g(-7) is divided by 14?
13
Suppose 3*c + 609 = 3*x, -208 = -x - 0*x - 4*c. Let g = -317 - -194. Let t = g + x. What is the remainder when t is divided by 28?
25
Let s = 300 - 124. Let b = -120 + s. Calculate the remainder when b is divided by 19.
18
Let s = -22 + -2. Suppose 2*u = 25 - 161. Let y = s - u. What is the remainder when y is divided by 15?
14
Suppose 5*r + 15 = 4*m, -4*m + r = 3*r - 22. Suppose 4*a = a + 156. Suppose 0 = 6*h - 2*h - a. Calculate the remainder when h is divided by m.
3
Suppose 10 + 142 = 8*b. Suppose 5*v = 25, 3*v - 338 = -5*k + 47. Calculate the remainder when k is divided by b.
17
Let r(a) = a + 5. Let w be r(-5). Suppose w = -t + 2*t - 5. Calculate the remainder when 18 is divided by t.
3
Let x = 3 + -1. Suppose -22 + 2 = -5*j, -5*j + 12 = -x*z. What is the remainder when z is divided by 4?
0
Calculate the remainder when (11 - 10)*-3 + 80 is divided by 35.
7
Let k(z) = z**2 + 10*z + 2. Let u = -21 - -31. Suppose 9*h = 4*h + u. Calculate the remainder when h is divided by k(-10).
0
Suppose 3*c - 5*c = 320. Let f be -2 - 0 - (-227)/1. Let r = c + f. Calculate the remainder when r is divided by 17.
14
Let p(u) = -u**2 - 34*u. Calculate the remainder when p(-21) is divided by 28.
2