the remainder when ((-7490)/(-25))/(78/195) is divided by 15?
14
Let z(l) = -l - 1. Let o(w) be the second derivative of -w**4/4 + w**2/2 - 25*w. Let k(d) = -o(d) + z(d). What is the remainder when k(-5) is divided by 21?
15
Suppose 14*i + 45181 = 45223. Let y(s) = -s**3 - 6*s**2 - 4*s + 3. Let n be y(-5). Calculate the remainder when 2 - (-14 + (n - -3)) is divided by i.
0
Suppose o + 6*o - 1704 = -o. Calculate the remainder when 395 is divided by o.
182
Let i = 13232 + -12892. What is the remainder when 2737 is divided by i?
17
Suppose -13*w + 50 = -12*w. Suppose 0 = -3*t + a - 0*a - 60, -2*t + 3*a - 40 = 0. Let q = 31 + t. What is the remainder when w is divided by q?
6
Let v(k) = -49*k + 21. Let y(s) = s**3 - 2*s**2 - 6*s + 7. Let m be y(3). What is the remainder when v(m) is divided by 37?
8
Suppose -2*l + 4*g = -433 + 451, -4*l = 5*g - 68. Suppose -5*b + 204 = -2*q, 2*b + q - 44 = 34. What is the remainder when b is divided by l?
5
Let o(q) = 5*q - 15. Let i be o(-5). Let s = -10 - i. Calculate the remainder when 147 is divided by s.
27
Let f = 55 - 53. Suppose f*m + 317 = u - 35, 349 = u - 5*m. Suppose -z = -3*v + 708, -v - z - 114 = -u. What is the remainder when v is divided by 48?
45
Suppose -f + 2*f + 1 = -l, 2*f - 19 = 5*l. Suppose -47*j + 1265 = -51. Suppose -6*x + f*x + j = 0. What is the remainder when 33 is divided by x?
5
Let p be 288/(-120)*(-6 - -1). Suppose -10*n = p - 62. Suppose 3*m + n = j, -2 = 5*m - 7. What is the remainder when 22 is divided by j?
6
Suppose -21*s + 83 + 456 = -10*s. Let c = 271 + -77. What is the remainder when c is divided by s?
47
Let q = -12645 - -13328. What is the remainder when q is divided by 137?
135
What is the remainder when ((-1)/(-1) - 0) + 2 is divided by 10 + 104/13 + -17?
0
Suppose 13*o - b = 15*o - 271, 296 = 2*o - 4*b. Calculate the remainder when o is divided by (6/(-3) + -5)*-2.
12
Suppose -792*c + 795*c - 2200 = -4*d, -4*d = -c + 712. What is the remainder when c is divided by 202?
122
Let k = 518 - 256. Suppose 11*w - 13*w = -k. What is the remainder when w is divided by 12?
11
Let d(f) = -75*f + 2507. Calculate the remainder when d(24) is divided by 85.
27
Suppose -5 = 7*q - 2*q, -4*q + 857 = 3*x. What is the remainder when x is divided by 130?
27
Suppose -y + 3*j = -6, -20*j + 16*j = -6*y + 120. What is the remainder when 32 is divided by y?
8
Suppose -1929 = -103*t + 3736. Let q = 31 + -15. Let l = 35 - q. What is the remainder when t is divided by l?
17
Suppose 0 = 4*k + 4*j - 208, 8*j + 49 = k + 6*j. Suppose 55 = 4*b + 2*l - 3, -3*b = -l - k. Calculate the remainder when b is divided by 1.
0
Let l(v) = 3*v**3 + 213*v**2 - 14*v + 767. Calculate the remainder when l(-71) is divided by 28.
25
Let m = -7382 + 7693. Calculate the remainder when 365 is divided by m.
54
Calculate the remainder when (-2 + 10146/(-21))/(1/(-7)) is divided by 25.
21
Suppose -6*g - 3*z - 9125 + 9740 = 0, 0 = g - 2*z - 70. Let v(p) = -p**2 + 55. What is the remainder when g is divided by v(0)?
41
Let b = 57842 - 57388. Let x = 26 - -31. Calculate the remainder when b is divided by x.
55
Let b(o) = 9*o**3 + 157*o - 477. What is the remainder when b(3) is divided by 10?
7
Let l be (-4)/(-2) - 1 - (11 - 10). Suppose -10*o + 16*o = l. Suppose o = 13*q - 341 - 530. Calculate the remainder when q is divided by 14.
11
Let g be (16/6)/((-46)/(-621)). Calculate the remainder when 181 is divided by 3/(-2)*(-552)/g.
20
Let t(q) = -541*q + 1686. Calculate the remainder when 2468 is divided by t(3).
11
Suppose -59*o - 56*o = -17*o - 10290. Calculate the remainder when 304 is divided by o.
94
Let f be (125/(-175))/(2/(-14)). Calculate the remainder when (-54 + f/(-25)*-5)/(-1) is divided by (1/2)/(2/36).
8
Suppose 0 = -2*d + 13*d - 352. Suppose d - 80 = -12*r. Suppose 0*q + 124 = r*q. What is the remainder when q is divided by 6?
1
Suppose -95 = -4*v - j, j - 71 = -5*v + 2*v. Let o = 28 - 31. Calculate the remainder when v is divided by (-1 + o)*287/(-164).
3
What is the remainder when 76 is divided by 17/(204/160)*105/28?
26
Let k = -4988 - -5087. Calculate the remainder when 359 is divided by k.
62
Suppose 111 = 3*m - 3*b, 6*m - 3*b = 5*m + 47. Suppose 1 = 11*d - m. What is the remainder when 10 is divided by d?
1
Suppose -65*l - 735 - 2332 - 2068 = 0. Suppose 4*g + 2*v + 2*v = -424, -2*v = -2*g - 204. Let r = l - g. What is the remainder when r is divided by 14?
11
Let p(j) = -5*j + 6. Suppose -58*b - 48 = -60*b. What is the remainder when p(-6) is divided by b?
12
Suppose 3*n - 704 = -2*l, -473*n + 942 = -469*n + l. What is the remainder when n is divided by 115?
6
Let a be ((-4)/(-10))/(10/1350). Suppose 6*o - 2*o - 233 = 3*b, 5*b = o - a. What is the remainder when 136 is divided by o?
18
Suppose 447 = -107*x + 2159. Calculate the remainder when 2731 is divided by x.
11
Let b be (85 - 2)*2 + -2. Suppose 0 = -3*a - a + b. Let h(z) = 683*z + 10934. What is the remainder when a is divided by h(-16)?
5
Let a = 176737 + -176554. Suppose -5*d + 117 = -d + 5*l, 0 = -3*d + 5*l + 44. What is the remainder when a is divided by d?
22
Let t(k) = 9*k - 606*k**3 + 1 + 605*k**3 - 6. What is the remainder when 31 is divided by t(2)?
1
Calculate the remainder when 1081 is divided by 738/10 - (-8 - 132/(-15)*1).
59
Let u = -40 + 93. Calculate the remainder when 138690/536 + 6/(-8) is divided by u.
46
Let m be 4 + (-54)/(-4)*-2. Let u = m - -28. Suppose -u*t = -0*t - 240. Calculate the remainder when t is divided by 10.
8
Let w be (56/(-10))/((-10)/375). Suppose -4*z + w = z. What is the remainder when (415/(-3))/((-255)/153) is divided by z?
41
Let x = -4676 + 5379. What is the remainder when x is divided by 349?
5
Let y(i) = -i**3 + 8*i**2 + 7*i + 41. Calculate the remainder when y(-4) is divided by 26.
23
Let q(l) = l**2 - 12*l + 25. Let c be q(10). What is the remainder when 71 is divided by c - ((-264)/(-154))/(4/(-42))?
2
Let n = 19 - -92. Let c = 37896 - 37858. What is the remainder when n is divided by c?
35
Let w be ((-1)/7)/(18/(-63))*82. Let q = w + -20. Suppose 3*p + q - 51 = 0. Calculate the remainder when 16 is divided by p.
6
Suppose -2*v + 5*b - 865 = -5*v, -v + 291 = b. Let o = v + -218. What is the remainder when o is divided by 9?
5
Let s be -2*(-3)/(0 + -6)*-2. Suppose -s*w + 6*w - f - 65 = 0, -2*w = 3*f - 43. Calculate the remainder when 41 is divided by w.
7
Let j(v) = -34*v**2 - v - 14. Let k(q) = -11*q**2 - 4. Let u(l) = -4*j(l) + 11*k(l). Calculate the remainder when u(-2) is divided by (-92)/2*(-2)/4.
18
Let y(f) = -f**2 + 17*f + 59. Let z be y(20). What is the remainder when (z/(-3))/((-9)/(-1242)) is divided by 26?
20
Let p be -4 + (6 - (0 + -2)). Let v be 1 - (99/(-12) + 1/p). Suppose -v*h = -15*h + 528. What is the remainder when h is divided by 30?
28
Suppose -2*j + 5*g = -2019, 25*j = 26*j - g - 1005. Calculate the remainder when j is divided by 21.
15
Suppose -2 = 4*o - 7*o - 2*u, 3*o = -5*u - 13. Suppose 29 = -o*z + 125. Suppose 13*p - 442 - 390 = 0. What is the remainder when p is divided by z?
16
Let b = -25 + -47. Let f = b - -72. What is the remainder when 116 is divided by (-69)/92*(f + -20)?
11
Calculate the remainder when (-285)/39 + (-144)/(-468) + 4757 + -2 is divided by 49.
44
Suppose -74*r = -75*r + 4. Suppose 4*s - 188 = -3*f, -22*s + r*f = -27*s + 234. What is the remainder when 499 is divided by s?
49
What is the remainder when (13 - 9)/(54/(-135)*10/(-482)) is divided by 419?
63
Let z = -623 - -649. What is the remainder when 101 is divided by z?
23
Let b = 81 - 142. Let s = 62 - b. What is the remainder when s is divided by 21?
18
What is the remainder when 923 is divided by (-94 - -1)*((-10)/15 - 0/(-4))?
55
Suppose -8*f = 482 - 1466. Let o = f - 99. Calculate the remainder when (27/12 - -2)/(3/o) is divided by 14.
6
Let k(a) = -a**2 + 22*a - 12. Let t = 4989 - 4938. What is the remainder when k(15) is divided by t?
42
Suppose 45 = 2*o - 35. Let u(r) = -13*r - 210. Let i be u(-20). Let n = i - o. What is the remainder when 38 is divided by n?
8
Let w(a) = -a**3 - 30*a**2 - 69*a - 35. Let t be w(-28). What is the remainder when 3/9*t + (-17)/(-51) is divided by 31?
17
Let z(t) = -18*t - 25 + 23*t**2 - 7 + 66. Calculate the remainder when z(6) is divided by 14.
12
Calculate the