6. Suppose 177*n - 18 = 174*n. Suppose 2*s - 4*s + 46 = 4*i, -2*i + 2*s = -14. What is the remainder when i is divided by z(n)?
0
Suppose g = 358*p - 361*p + 119, -5*p = -3*g + 371. Calculate the remainder when g is divided by 66.
56
Let o(j) be the first derivative of 4*j**2 - 88*j - 80. Calculate the remainder when 29 - ((-3 - -3) + 0) is divided by o(12).
5
Suppose 9*w = 1614 - 615. What is the remainder when 226 is divided by w?
4
Suppose 3*b - 3*b = -b + 72. Calculate the remainder when 1075 is divided by b.
67
Let p = 34 - 30. Suppose 0 = p*i - 5*i. Suppose i = 5*t + 25, -4*j + 3*t + 0*t = -111. What is the remainder when 47 is divided by j?
23
Suppose -18*p + 32*p + 5250 = 0. Let j = p - -382. What is the remainder when 419 is divided by j?
6
Suppose -h = -4*h + 3. Let f(x) = 1 - 2 - 3503*x**3 + 3703*x**3 + 0*x**2 + x + 3*x - 2*x**2. Calculate the remainder when f(h) is divided by 34.
31
Suppose -2*b + 2*a = -2*a - 112, -a - 2 = 0. Let s = 907 - 700. What is the remainder when s is divided by b?
51
Suppose -160*h + 225 + 9135 = -115*h. Calculate the remainder when h is divided by 62.
22
Let f(m) = m**3 + 13*m**2 - 13*m - 14. Let y(d) = d**3 + 4*d**2 + 12. Let j be y(-5). What is the remainder when f(j) is divided by (-2 - -50)*1 + 5?
49
Let p = 121 - 116. Suppose 3*k + 1 = 4*d, -d + p*k - 1 = 3. Calculate the remainder when 9 is divided by d/(-7) - (-66)/21.
0
Suppose 2*m + 2*m = -3*f + 7, 0 = 5*m + 2*f - 7. Suppose 2*b - m + 45 = 0. Let o = 34 + b. Calculate the remainder when 34 is divided by o.
10
Let t(q) = 18*q**3 - 233*q**2 - 7*q - 60. Calculate the remainder when 1840/25 + (-3)/5 is divided by t(13).
1
Let p(t) = 6*t**2 + 2*t + 1. Suppose 3*u - 12*u = -936. What is the remainder when p(-4) is divided by -3*(1 - u/12)?
20
Let p(r) = -r**3 + 2*r**2 + 12*r - 10. Let k be p(4). Suppose 150 = k*j - 402. Calculate the remainder when j is divided by 12.
8
What is the remainder when 549 is divided by 21/9*(9/(-12) + (-27135)/(-180))?
199
What is the remainder when ((-22)/(-6))/((-5)/15) - -119 is divided by 21?
3
Let l be (-6)/(-4)*160/48. Suppose -l*j = -0*j - 2*x - 54, 3*j - 5*x - 21 = 0. Let f = 276 - 243. What is the remainder when f is divided by j?
9
Let s = -20 + 104. Let j be 2/4 + (-1)/2. Suppose -2*a - s + 322 = j. What is the remainder when a is divided by 30?
29
Let u(m) = -11*m - 61. Let v = 12 + -7. Suppose 2*d - v*d + 45 = 0. What is the remainder when u(-9) is divided by d?
8
Let i be (-14)/70 - (-928)/(-10). Let k = 93 + i. Suppose -282 = -2*v + 5*s - k*s, -705 = -5*v + 3*s. What is the remainder when v is divided by 29?
25
Suppose 265 = 127*j + 84*j - 3744. What is the remainder when 1442 is divided by j?
17
Suppose -418 = -5*d - 4*l, -2*d - 2*l + 156 = -6*l. Let u = 102 - d. What is the remainder when 139 is divided by u?
19
Suppose -36*n + 32*n - 494 = -3*a, 291 = 2*a + 5*n. What is the remainder when a is divided by 135?
23
Suppose -52983 = -18*m + 24939. What is the remainder when m is divided by 228?
225
Suppose 13*u - 62 = 133. What is the remainder when 673 is divided by u?
13
What is the remainder when 1308 is divided by (-18 + (-1848)/(-22))/1?
54
Let m = 28251 + -27826. What is the remainder when 1284 is divided by m?
9
Let z(j) be the second derivative of -3*j**5/20 + 3*j**4/4 + 19*j**3/6 - j**2/2 + 13*j. Calculate the remainder when 141 is divided by z(-2).
15
Calculate the remainder when 599/3 + (43 - 42) - (-14)/(-21) is divided by 71.
58
Suppose -5*l = 5*h - 225, 61*l - 62*l + 4 = 0. Let r = -12 + 14. Suppose 2*o + 5*y = 7, -5*o - r*y - y + 65 = 0. What is the remainder when h is divided by o?
9
Let t be (-1)/2 - (130/(-20) + -5). Suppose t*k + 11*k = 550. Calculate the remainder when 123 is divided by k.
23
Let d = -50 - -70. What is the remainder when ((-306)/765)/((-2)/625) is divided by d/(-3)*12/(-5)?
13
Let s(w) = -13*w**3 + 390*w**2 + 30. Suppose 0 = 2*n - 219 + 31. Suppose 9 - n = -5*v. Calculate the remainder when s(30) is divided by v.
13
Suppose d = 13*p - 17*p, -5*d + 96 = -4*p. What is the remainder when ((-158)/8)/((-5)/20) is divided by d?
15
Suppose 26*v - n = 22*v - 689, 2*v + 337 = 3*n. Calculate the remainder when (-3 - v) + -10 + 3 is divided by 15.
13
Suppose 153*k = -5*q + 158*k + 1530, -5*q = -k - 1530. Calculate the remainder when q is divided by 305.
1
Let u = 20 + -15. Suppose -5*n - u*n = -50. Suppose -5*o + 495 = -n*a, 3*o = a + 3*a + 297. Calculate the remainder when o is divided by 25.
24
Let a be 900/(-35)*133/(-38). Let i(u) = -u - 1. Let p be i(-3). Suppose w = -p*b + a, -5*b = -b + 4*w - 172. What is the remainder when b is divided by 12?
11
Let m(h) = h**2 - 7*h + 10. Let g be m(4). Let x be (7 + g)/(-15)*-87. Suppose n = x + 20. What is the remainder when n is divided by 18?
13
Let q = 6006 - 5968. Let n = -6 + 12. Suppose -n = -2*p + 20. What is the remainder when q is divided by p?
12
Suppose 0 = -20*i - 2220 - 600. Let r = i + 255. What is the remainder when r is divided by 12?
6
Suppose -361*i - 6536 = -447*i. Calculate the remainder when 230 is divided by i.
2
What is the remainder when (-1611)/6*(-6 + 5)*18/27 is divided by 10?
9
Suppose 2*q - 7*k = 1340 + 215, -5*q = 4*k - 3952. Calculate the remainder when q is divided by 87.
5
Let h(x) = 2*x**2 - 50*x - 35. Let q be h(26). Suppose 20*y + 5*u - 153 = q*y, -51 = -y + u. Calculate the remainder when 92 is divided by y.
41
Suppose 46*x - 149*x + 21475 - 4995 = 0. Calculate the remainder when x is divided by 73.
14
Suppose 10312 = 7*v + 435. Calculate the remainder when v is divided by 157.
155
Let j = -6 + 9. Let m(i) = 4*i**2 - 3*i. Let n(z) = -4*z**3 - 51*z**2 + 12*z - 8. What is the remainder when m(j) is divided by n(-13)?
2
Suppose 0 = -0*t - 5*t - 10. Let j(i) = -6*i - 11. Let d be j(-6). Let c = d - t. Calculate the remainder when c is divided by 5.
2
Suppose -446*k + 399*k = -41407. Calculate the remainder when k is divided by 230.
191
Suppose 15 = 2*b + 3*n, 3*b - 84 + 42 = 2*n. Calculate the remainder when 24 is divided by 224/b - 7 - (-2)/6.
0
Suppose -4*z + 12 = -5*z + 5*s, 0 = -s + 4. Suppose q = 4*a - 14, 2*q + z = -4*a + 2*a. Let y = q + 11. What is the remainder when 18 is divided by y?
3
Let v(s) = -s**2 + 18*s - 30. Let u be v(15). Suppose -22*a + u = -19*a. Calculate the remainder when 144 is divided by a.
4
Suppose -5*f - q + 153 = -2*f, 0 = -2*f + q + 87. Calculate the remainder when 57 is divided by f.
9
Let t(x) be the first derivative of -x**3/3 + x**2/2 + 2*x - 2. Let q be t(-1). Suppose q = -4*i + 39 + 29. Calculate the remainder when i is divided by 11.
6
Suppose -60 + 60 = -17*a. Let l(q) be the first derivative of -q**3/3 + 7*q**2/2 + 8*q + 1. What is the remainder when 31 is divided by l(a)?
7
Suppose -4831*b + 315 - 7959 = -5125*b. Let h = 6 - 4. Suppose a - 225 = -h*a. Calculate the remainder when a is divided by b.
23
Suppose b + 3 = 2*b. Let g(x) = 2*x**b - 2*x**3 - 6*x**3 + 5*x + 8*x**3 - 8. Calculate the remainder when 69 is divided by g(2).
15
Let q(c) = -c**3 + 4*c**2 + 1. Let t be q(4). Let u = -883742 + 883848. What is the remainder when u is divided by 0 + 10 - (2 - t)?
7
Let g(l) = -l + 16. Let a be g(13). What is the remainder when 5 is divided by (-1 + -3)/(a + -1 + -4)?
1
Let u be (2 + -3)*(6 - 3) - -130. Suppose 153 = 7*a - u. Calculate the remainder when a is divided by 21.
19
Suppose -2*b = d - 341, 4*d - 53 + 938 = 5*b. Calculate the remainder when 686 is divided by b.
167
Suppose 5*n - v = -3*v + 1279, -4*n + 2*v + 1016 = 0. Let a = 261 - n. Calculate the remainder when 111 is divided by a.
3
Suppose -52*v = -31*v - 42. Suppose 2608 = -2*q + 6*q. Suppose q = v*s + 2*s. Calculate the remainder when s is divided by 33.
31
Suppose -63 - 7 = -14*p. Suppose 259 = 12*u - p*u. Let g = 13 - 0. What is the remainder when u is divided by g?
11
Let o(v) = 37*v**2 + 2*v + 1. Let f(x) = -x. Let r(h) = 6*f(h) + 2*o(h). Suppose -8*b - 3871 = -3879. Calculate the remainder when r(b) is divided by 11.
8
Let m(c) = -c**2 + 3*c + 8. Let l be m(4). Let d = -2114 + 2117. Calculate the remainder when (-90)/5*(-2)/l is divided by d.
0
Let r(p) = 8*p. Let f be r(2). Let b be (-910)/(-30) + (-80)/24. Let o = b + f. Calculate the remainder when o is divided by 9.
7
Let p(q) = q**2 - 2*q