alculate the remainder when 670 is divided by a.
82
Let q = 34905 + -34851. Calculate the remainder when 2480 is divided by q.
50
Let r(x) be the third derivative of 31*x**4/3 + 2*x**2 - 17*x. Let l be r(1). What is the remainder when 36 is divided by l/18 + (-10)/(-45)*1?
8
Let w = -3247 - -3557. What is the remainder when w is divided by 21?
16
Suppose -2*h - h = -6. Suppose 1022 = 161*m - 848 + 99. Suppose a - h*a = -m. What is the remainder when 29 is divided by a?
7
Let k = 11 + -5. Let d(o) = 26 + 1 + o + 10. Calculate the remainder when d(-20) is divided by k.
5
Suppose -v + 14 = 4*i - i, 0 = -5*i - 20. What is the remainder when 1555 is divided by v?
21
Suppose 52 = 2*q + 4*x, 98*q - x = 100*q - 58. Calculate the remainder when 1351 is divided by q.
1
Suppose -h + 19 = 3*o, 2*h + 3*o + 7 = 6*o. What is the remainder when (1 - -5) + (-12 - -10) is divided by h?
0
Calculate the remainder when 5 - (-11 + (-7872)/6) is divided by 88.
8
Let h(n) be the third derivative of n**5/12 + n**4/12 + n**3/6 - 9*n**2. Let m be h(3). Let i = m + -10. Calculate the remainder when i is divided by 15.
12
What is the remainder when 2480 is divided by (-4 - -28 - 25)/(11/12 + -1)?
8
Suppose 0 = 37*i + 144 - 2105. What is the remainder when 1032 is divided by i?
25
Let s(k) = -63*k + 4993. Suppose -3*g + 435 = 2*q, -3*g - 4*q - 703 = -8*g. Calculate the remainder when g is divided by s(79).
15
Let w = -37 + 54. Suppose -w*b + 1849 + 1364 = 0. What is the remainder when b is divided by 32?
29
Let m be (-30)/(-2) + (-34 - -30). Suppose -5*q - 10*v = -m*v - 90, q = 5*v + 42. Calculate the remainder when 49 is divided by q.
15
Suppose 151*b - 1584 - 1436 = 0. What is the remainder when (-257)/(((-3)/(-1))/(-3)) is divided by b?
17
Let t(f) = -f**3 - 29*f**2 - 185*f - 29. What is the remainder when 669 is divided by t(-9)?
13
Suppose a + s - 28 + 7 = 0, -2*a + 66 = -4*s. Let y = -187 - -307. Calculate the remainder when y is divided by a.
20
Let k be 864/33 + (-6)/33. Let o = k + -21. Suppose n = -4*u, -o*n - 2*u = -0*u - 36. What is the remainder when n is divided by 7?
1
Let m(v) = -v**3 - 7*v**2 - 14*v - 5. Let x be m(-3). Suppose n = 6 + x. What is the remainder when 75 is divided by n?
5
Let b = 72 - 12. Suppose 62 - b = w. Suppose -r + w*c = 0, 0 = 2*r - 0*c - 3*c - 5. Calculate the remainder when r is divided by 3.
1
Let z(p) = p + 12. Let k be z(-9). Let x be (-2 + 2/k)/((-14)/(-294)). Let i = 130 + x. What is the remainder when i is divided by 35?
32
Suppose -16*g + 106*g - 33713 = 44497. What is the remainder when 875 is divided by g?
6
Let y(j) = j**2 + 215*j + 3228. Calculate the remainder when 490 is divided by y(-16).
6
Let c = 205 - 961. Let p be (c/(-45))/(2/10). Suppose -12*w + 0*w = -p. Calculate the remainder when 18 is divided by w.
4
Suppose 9*j - 21*j = 15*j - 2214. Calculate the remainder when 143 is divided by j.
61
Suppose 24*a - 14914 = 11*a + 3*l, 3*a + l = 3440. Calculate the remainder when a is divided by 96.
91
Let x be 0/(-1)*(1 + -2). Suppose -4*u = -3*w + 1268 + 1248, x = 4*u + 5*w + 2516. What is the remainder when 33 is divided by (-2)/8 + u/(-68)?
6
Suppose 0 = -38*f + 3102 + 2522. What is the remainder when 171 is divided by f?
23
Suppose -r + 386 + 419 = 0. Let o = r - 454. Calculate the remainder when o is divided by 22.
21
Let v(b) = -b**2 + b + 5. Let r be v(-3). Calculate the remainder when 24 is divided by (1/(-2))/((-1967)/280 - r).
4
Suppose 0 = -9134*y + 9137*y - 759. What is the remainder when y is divided by 58?
21
Let y = 1553 + -570. Suppose -y = -5*a - 3*g, -6*g = -2*a - 9*g + 395. What is the remainder when a is divided by 57?
25
Let w = -1 - -18. What is the remainder when (29 - 682/22)*(-134)/4 is divided by w?
16
Suppose 14*r - 319 = 507. Calculate the remainder when 2534 is divided by r.
56
Suppose p - 2 + 0 = 0, -5*p = 3*x - 34. What is the remainder when (5 - (x + 5)) + 118 is divided by 30?
20
Suppose 32*w = -16 + 368. Suppose 0 = w*x + 210 - 650. What is the remainder when 92 is divided by x?
12
Let j = -82 - -80. Let b be (-1)/j*(240 + (-5 - -1)). Suppose -9*x + 548 + b = 0. Calculate the remainder when x is divided by 21.
11
Let l = -13886 - -14164. Calculate the remainder when l is divided by 36.
26
Suppose r - 6 = -5*x, -4*r + 5*x + 108 = 4*x. Suppose -8*o = -818 - 726. Suppose -139 = 6*c - o. What is the remainder when r is divided by c?
8
Let f be (-12)/8*(-8)/6. Let o(c) = 6525*c + 1 - 3259*c - 3269*c + 14*c**3. Calculate the remainder when o(f) is divided by 36.
35
Suppose -3*h - c + 73 = 0, 0 = -4*h + 3*c + 2*c + 129. Suppose 14640 - 858 + 6682 + 1558 = 286*u. What is the remainder when u is divided by h?
25
Let p(t) = t**3 + t**2 + t. Let b be p(0). Suppose -233*h + 179*h = -2106. Calculate the remainder when h is divided by b/3 - (-14 + 0).
11
Let i(s) = -2*s**2 + 84*s + 89. Let o be i(43). Suppose 3*g + 128 = 4*l, o*g + 3 = -l + 50. What is the remainder when 487 is divided by l?
32
Suppose -3 = 2*j + 9. Let l be (-6)/5*15/j - 0. Suppose -2*b + w - 5*w = -52, 0 = b + l*w - 29. Calculate the remainder when 51 is divided by b.
11
Let n(c) = c**3 - 4*c**2 + 1. Let g(y) = -15*y**2 + 9*y + 44. Let w be g(-7). Let f = 758 + w. Calculate the remainder when f is divided by n(4).
0
Suppose -1486 = -69*f + 860. Suppose -2*d + 5*d - 246 = 0. What is the remainder when d is divided by f?
14
Suppose -13*r = -4*r. Let p(o) = 10*o**3 - 2*o**2 + o + 2. Calculate the remainder when 153/3 + r + -1 - -2 is divided by p(1).
8
Suppose 0 = -46*m + 66*m - 3220. Calculate the remainder when m is divided by 12.
5
What is the remainder when 27584519/1937 - (-4)/78*3 is divided by 17?
12
Suppose -107*p = -117*p + 740. Calculate the remainder when 205 is divided by p.
57
Suppose 199*o - 70876 = 83*o. Calculate the remainder when o is divided by 10.
1
Let o = 43 - 43. Suppose o = 4*i - 3*i + 9. Let d(u) = 2*u + 22. What is the remainder when 35 is divided by d(i)?
3
Let n(h) = -h**2 - 52*h + 1138. What is the remainder when 2048 is divided by n(16)?
48
Suppose -9537 = -101*o + 11269. Calculate the remainder when 420 is divided by o.
8
Let v be -5*3/((105/69)/(-7)). Let g(s) = -s**3 - 2*s**2 - 2*s + 4. Let m be g(-3). Let d = v - m. Calculate the remainder when d is divided by 13.
11
Suppose 4*t - 35 = 173. Let r = 15074 + -15068. What is the remainder when t is divided by r?
4
Let l = -172 + 172. Let o(f) = f**2 + f + 15. Calculate the remainder when 133 is divided by o(l).
13
Suppose 0 = -9*n - 20*n + 290. Suppose 3*m - 66 = 51. Calculate the remainder when m is divided by n.
9
Let r be (10 + -11)*172/(3 - 1). Let t = -69 - r. Let g(u) = -3*u + 1. What is the remainder when t is divided by g(-3)?
7
Suppose -29*j + 5*j = 16*j - 9720. Calculate the remainder when j is divided by 14.
5
Let q(p) = 244*p**3 + 2*p**2 + 46*p - 159. What is the remainder when q(3) is divided by 178?
177
Let f = 1275 - 1256. What is the remainder when f is divided by 14 - (0 - (3 + -4))?
6
What is the remainder when 2410 is divided by 182 - -9 - 10*(-14)/(-28)?
178
Let d(o) = -o**3 + 16*o**2 + 17*o + 17. Let p be (15 + -3)/6 - -15. What is the remainder when 48 is divided by d(p)?
14
Suppose -3*g + g = -76. What is the remainder when g is divided by (-340)/(-24) + (-4)/3 + (2 - (-100)/(-120))?
10
Let x = 156 + -107. Let u be ((-11)/(-2) - 1)/(12/(-72)). Calculate the remainder when x is divided by (-232)/(-108)*12 + (-6)/u.
23
Let i = -694 - -468. Let l = 261 + i. What is the remainder when 79 is divided by l?
9
Suppose 0 = 2*b - d + 87, -7*b - 127 = -4*b + 2*d. What is the remainder when (2/(-8) - 1)*1204/b is divided by 14?
7
Suppose -167 = -r + 3*a, 2*r + 1505*a = 1507*a + 366. What is the remainder when 9167 is divided by r?
190
Suppose -219 = 3*x - 2*p, 4*x - 4*p + 83 = 3*x. Let q(s) = 4*s. Let r be q(22). Let y = r + x. What is the remainder when y is divided by 7?
3
Let f = 64 - 56. Let y be (4/f)/((-3)/(-324)). Suppose 16 = -b + y. Calculate the remainder when b is divided by 13.
12
Let v be 1069/17 - 22/(-187). Let l = -12 + -16. Let f = l + v. Calculate the remainder when 66 is divided by f.
31
Suppose -3*c + 4*d = -3194, -4*c = 101*d - 103*d - 4232. What is the remainder when c is divided by 53?
47
Let q(j) be the third derivati