 the remainder when 113 is divided by k.
5
Let l = 9437 + -4976. What is the remainder when l is divided by 124?
121
Suppose 0 = -5*z - 2*x + 25, x = 6*x. Suppose 3*q - 23 = -g, -6*q + q = z*g - 35. What is the remainder when (21/(-12))/((-6)/48) is divided by q?
6
Let w(q) be the first derivative of q**3/3 - 7*q**2/2 + 14*q + 16. Let x be w(6). Suppose 5*m - 27 = x. What is the remainder when 41 is divided by m?
6
Let a(v) = 15*v + 981. What is the remainder when 416 is divided by a(-62)?
8
Let l(w) = 37*w**2 + 23*w - 75. Calculate the remainder when l(-6) is divided by 20.
19
Suppose 4*h = -0*h + 232. Let v be (6/(-30) + 1)*10/(-4). What is the remainder when h is divided by 11 - (-2 + 0 + v)?
13
Let y(r) = -2*r**2 - 15*r - 4. Let g be y(-7). Suppose g*a - 219 = -4*t, -3*a + 168 = -t + 4*t. Let m = 97 - t. What is the remainder when m is divided by 8?
6
Let k(t) be the first derivative of -2*t**2 - 1/4*t**4 - 7*t - 13 + 8/3*t**3. What is the remainder when k(6) is divided by 21?
20
Let j(s) = -31*s + 484. Let x be j(16). Let v = 0 + 0. Calculate the remainder when (v - -22)*(-11 - x) is divided by 7.
1
Suppose -3*u = 5*f - 2142, -469 = -3*f - 4*u + 814. Calculate the remainder when f is divided by 32.
13
Let n(p) = 31*p - 58. Let k be n(2). Suppose -161 = -4*c + 3*a, -k*c - a = -3*c - 35. What is the remainder when 415 is divided by c?
35
Suppose -4*u + 40 + 64 = 0. Suppose -1235*p + 456 = -1229*p. What is the remainder when p is divided by u?
24
Let m(l) = 2*l**3 + l**2 + 2*l - 1. Let k(r) = -3*r**3 - 14*r**2 + 10*r - 19. Let b(a) = -k(a) - 2*m(a). Calculate the remainder when b(10) is divided by 14.
11
Let f(g) = 11*g + 54. Let o be f(-5). Let s(j) = -25*j + 4*j - 2*j. Calculate the remainder when 88 is divided by s(o).
19
Suppose 2*y - 2 = 2*b, 0 = 2*b - 4*b + 10. Suppose 0 = -2*q - 3*q + v + y, 5*v = -4*q + 28. Calculate the remainder when 25 is divided by q.
1
Let t be -2*(-8 + 11) + 14. Calculate the remainder when 763 is divided by 2*(15 - t) + 1.
13
Let w = -532 - -131. Let t = -276 - w. Suppose j = 6*j - t. What is the remainder when 70 is divided by j?
20
Let x = -1127 + 649. Let c = x - -591. What is the remainder when c is divided by 29?
26
Let j(l) = l**3 - 4*l**2 + 3*l - 8. Let c be j(4). Suppose 0 = 6*i + c - 52. Calculate the remainder when (6/(-4))/(3/(-28)) is divided by i.
6
Let q = 1483 + -1439. Calculate the remainder when 295 is divided by q.
31
Let p = -1435 + 1457. Calculate the remainder when 291 is divided by p.
5
Suppose -5*y + 8 = -4*l - 4, 3*y - 6 = 3*l. Suppose 4*x + l = 5*x. Suppose 5*c = 5*v - 30, -x*c + 4*c = v - 5. Calculate the remainder when 40 is divided by v.
5
Let r(k) = 16*k**2 - 132*k - 256. What is the remainder when 1518 is divided by r(-2)?
6
Suppose -6*x = -3*x - 78. Suppose 3*w + 54 = 4*b, -2*b + 0*w + x = -2*w. What is the remainder when 133 is divided by b?
13
Let q(u) = 44*u - 1. Suppose -b - 846 = -5*g, 5*g = -0*b + 5*b + 850. What is the remainder when g is divided by q(1)?
40
Let d be 2 + 4652/(-10) + 4/(-5). Let c = 480 + d. What is the remainder when 78 is divided by c?
14
Suppose -i - 37 = -4*f, 16*i = f + 11*i - 33. What is the remainder when (1 + (-326)/f)/(144/(-768)) is divided by 43?
40
Suppose -3*m = 2*r - 854, 3460 = 11*r - 3*r + m. Calculate the remainder when r is divided by 95.
53
What is the remainder when 838 is divided by (-39396)/(-49)*(-3)/(-12)?
34
What is the remainder when 13/(-234)*9 - (-1353)/2 is divided by 40?
36
Let g(s) = s**3 + 17*s**2 + 48*s + 2. What is the remainder when g(-5) is divided by (3*-1)/((-4)/28)?
20
Let r(g) = -15*g - 5. Let i(u) = 2834*u + 119052. Calculate the remainder when r(-6) is divided by i(-42).
13
Suppose -4*w - 6*m = -2*m - 884, -5*w + 1089 = -3*m. Let j = 1320 - 1298. Calculate the remainder when w is divided by j.
21
Let q = 43 + -35. Let j(g) = -g**3 + 9*g**2 - 4*g - 11. Let o be j(q). What is the remainder when ((-249)/(-4))/((o/8)/7) is divided by 42?
40
Let f(s) = -3*s**3 - 230*s**2 + 61*s + 224. Calculate the remainder when f(-77) is divided by 81.
79
Suppose 0 = -85*x - 51 + 1411. Let g(r) = r**3 + 3*r**2 - 5*r - 7. Let b be g(-6). Let w = -56 - b. What is the remainder when w is divided by x?
13
Suppose -4*s = -o - o - 658, 2*s - 344 = 4*o. Let h = s + -140. Calculate the remainder when 175 is divided by h.
21
Let y(o) = -o**2 - 10*o + 16. Let d be y(4). What is the remainder when ((-216)/d)/((2 - 3)/(-5)) is divided by 23?
4
Suppose -4*c + 202 = 2*m, -3*c - 103 = -4*m - 238. Calculate the remainder when -3 + 33/9 - (-553)/3 is divided by c.
38
Let n(b) = -82*b + 256. Calculate the remainder when n(1) is divided by 1.
0
Let b(j) = 4*j**2 + 12*j + 5. Let w be b(-3). Suppose -336 = -8*g + w*g. Calculate the remainder when g is divided by 39.
34
Suppose 195*a - 193 = 207*a - 1177. What is the remainder when 255 is divided by a?
9
Suppose 4*k + 45*h = 40*h + 389, 4*h = -12. What is the remainder when 136 is divided by k?
35
Suppose 0 = -n + 4*w + 46, n + 36*w - 38*w - 30 = 0. Let l = -53 - -93. What is the remainder when l is divided by n?
12
Let m(h) = 2*h - 3. Let q be (-6)/(-39) - (-76)/13. Let y be m(q). Calculate the remainder when 3/(y/(-30))*(-6 + 3) is divided by 8.
6
Suppose 200*c + 499 - 26780 - 24319 = 0. What is the remainder when 751 is divided by c?
245
Let v(f) = -f**3 - 3*f**2 - 13*f - 10. Let b be 306/(-63) + 60/21 + -3. What is the remainder when v(b) is divided by (-845)/(-91) - (-4)/(-14)?
6
Let s = 193 + -189. Suppose r - 8 = -s*i, -6*i = 2*r - 4*i - 10. Calculate the remainder when 17 is divided by r.
1
Suppose -2*q - 49 = 3*h - 526, -q - 2*h + 239 = 0. What is the remainder when 941 is divided by q?
230
Let x(w) = 6*w**3 - 5*w**2 - 63*w + 280. What is the remainder when x(4) is divided by 155?
22
Let x(z) = -z**2 - 12*z - 24. Let q be x(-9). Let o(p) = 27*p - 10. Let w be o(q). Let j = -65 + w. Calculate the remainder when j is divided by 2.
0
What is the remainder when 70/(-15 - -10) + 234 is divided by 15?
10
Calculate the remainder when (39/(-130) - 4619/(-5)) + (-8)/(-16) is divided by 16.
12
Calculate the remainder when 413 is divided by (-1564)/(-30) - (182/195)/7.
49
Suppose 0 = -684*k + 679*k + 240. Suppose -18*y + 22*y = k. What is the remainder when 61 is divided by y?
1
Let q = -208 - -145. Let r = 33 - q. Let l = -100 - -149. What is the remainder when r is divided by l?
47
Let h be (-10)/55 + 13/11 + 38. Let v = 60 - h. Suppose -5*d - 6*x = -2*x - 514, 0 = -5*d + 5*x + 505. Calculate the remainder when d is divided by v.
18
Suppose 1969*t + 9 = 1972*t. Suppose -8*y + 11*y + t*d = 15, 4 = 4*d. What is the remainder when 68 is divided by y?
0
Let x be (-1 - -1)*(40/(-5))/(-8). Suppose x = 2*o + 11*o + 2*o. Suppose o*d + d - 118 = 0. Calculate the remainder when d is divided by 17.
16
Let x(m) = m**2 - 24*m - 9. Suppose 20*o = 15*o + z + 128, 0 = 5*o - 3*z - 134. What is the remainder when 127 is divided by x(o)?
15
Suppose -3*r + 12267 = -19*p + 24*p, p - 5*r - 2487 = 0. What is the remainder when p is divided by 15?
12
Let g be (10/8 + 0)*4. Suppose f + 2*d = 173, 0*f + 910 = 5*f - g*d. Suppose -v - 4*h = -0*v - 42, 3*h = v - 14. What is the remainder when f is divided by v?
23
Let u = 408 - -250. Calculate the remainder when u is divided by 10.
8
Suppose -19*p = -33*p + 14. Let r = p + 20. What is the remainder when 144 is divided by r?
18
Suppose 82 + 170 - 364 = -28*w. What is the remainder when 1447 is divided by w?
3
What is the remainder when (4*1 + (-9328)/24)*(-5 - 25) is divided by 119?
116
Suppose c = -3*c + 100. Suppose 24*r - c*r - 105 = 0. Let v = -92 - r. What is the remainder when 34 is divided by v?
8
Let p = 2968 + 3608. Calculate the remainder when p is divided by 28.
24
Let w(r) = 2*r + 5. Let j be w(-1). Suppose -p = -14 + j. Let d = 310 + -279. Calculate the remainder when d is divided by p.
9
Suppose 102*q - 66 = 100*q + 706. Calculate the remainder when q is divided by 194.
192
Suppose 3*h - 37 - 22 = -p, 5*p + h = 351. Let l = -68 + p. Calculate the remainder when 41 is divided by (-1)/((-1)/11)*(-1 + l).
19
Let k(t) = 62*t**2 + 18*t - 267. Calculate the remainder when k(4) is divided by 2.
1
Suppose -828 = 4*c - 0*c. Let s = 93 - c. What is the remainder when s is divi