 Calculate the remainder when 89 is divided by ((-24)/20)/((-12)/t + -1).
1
Let j(k) be the second derivative of k**5/20 - k**4/6 + k**3/2 + 2*k**2 - 14*k - 2. Calculate the remainder when 33 is divided by j(3).
11
Let y(t) = 3*t**3 + 39*t**2 - 264*t + 11. What is the remainder when y(7) is divided by 69?
68
Let k(f) = 6*f**2 + 23*f + 81. Let u be k(-3). Suppose 65*h + 11 = u*h. Calculate the remainder when 163 is divided by h.
9
Let q(b) = b**3 - 3*b**2 - 3*b + 7. Let p be q(3). What is the remainder when 434/(p/(-2)) + (89 - 91) is divided by 62?
60
Suppose -3*j = -8*j - 5. What is the remainder when 10088/40 + j/5 is divided by 86?
80
Suppose -2*h = l - 143, -5*h = l + 33 - 185. What is the remainder when 1226 is divided by l?
130
Let y = -67 + 115. Suppose 2*d - o = 40, -o = -2*d - 2*o + y. Let v = -10 + 22. What is the remainder when d is divided by v?
10
Let c(o) = -5*o - 13. Let q(k) = -6*k + 14*k + 3*k + 7 + 4*k. Calculate the remainder when q(5) is divided by c(-6).
14
Suppose -1196*o - 83 - 23 = -1198*o. Calculate the remainder when o is divided by 8.
5
Suppose 0 = -8*p + 3*p. Let n be -4 - (3 + -11 + p). Suppose -30 = -n*s + 34. What is the remainder when 77 is divided by s?
13
Let a(r) be the second derivative of -r**4/12 - 17*r**3/3 - 19*r**2 - 7*r. Let p = 331 - 363. Calculate the remainder when a(p) is divided by 4.
2
Let o = -2019 - -2073. Calculate the remainder when o is divided by 12.
6
Let r = 35 + -9. Suppose -20*m = 5*m + 14700. Let c = -583 - m. Calculate the remainder when r is divided by c.
1
Suppose 0 = 5*p - 3*t - 241, -5*p - 8*t + 6*t + 231 = 0. Let z(j) = -9*j + 3. Let d be z(2). Calculate the remainder when p is divided by 2/15 + (-148)/d.
7
Let r be (-14)/((-880)/125 - -7). Let u = -79 + r. What is the remainder when u is divided by 46?
41
Calculate the remainder when ((-27)/(-4))/(4220/(-61344) + (-36)/(-486)) is divided by 180.
18
Suppose -2*g = -2*s + 1082, 555 = s - 1342*g + 1343*g. What is the remainder when s is divided by 15?
8
Let l = -38854 + 40053. Calculate the remainder when l is divided by 100.
99
Let w(l) = 2*l**3 - 6*l**2 + 8*l + 16. Let o = 302 + -298. What is the remainder when 156 is divided by w(o)?
76
Let y = -534 - -534. Suppose 0 = x - 5 - 5. Suppose x*o - 17 - 23 = y. Calculate the remainder when 14 is divided by o.
2
Let y be (66/55)/((-2)/(-25)). Let g be (-140)/25*y/(-6). Let h = g - -27. What is the remainder when h is divided by 14?
13
Let f(k) = 15*k + 5. Suppose -3*i - 5*x = 25, 5*x = -i + 5*i - 25. Suppose 3*u + 6 = -3*s, 3*s = -i - 9. What is the remainder when f(u) is divided by 7?
6
Suppose -26 = -v + 38. Let d = 68 - v. Suppose 9*o - 85 = d*o. Calculate the remainder when 32 is divided by o.
15
Let t be ((-6420)/(-14))/((-27)/(-504)). Suppose -20*o = -0*o - t. Calculate the remainder when o is divided by 13.
12
Let o = -3135 - -3361. What is the remainder when o is divided by 74?
4
Suppose 5*f - 294 = -4*j + 394, 4*j - 724 = 4*f. What is the remainder when j is divided by 3?
0
Let w be -2 + 24/(1/1). Suppose 71 + 2283 = w*t. What is the remainder when t is divided by 10?
7
Calculate the remainder when (-22)/(-55) + (-3346)/(-10) is divided by 87.
74
Suppose 4 = 2*w, 0 + 62 = 3*p - 5*w. Let x be (2 - 1) + -5 - -1. What is the remainder when p is divided by 28/4 + (x - -10 - 0)?
10
Suppose -2*p = w - 772, -99*p = -94*p - 3*w - 1974. What is the remainder when p is divided by 97?
2
Let a(w) = 2*w**2 + 20*w - 2366. What is the remainder when a(37) is divided by 18?
14
Suppose -5*p = -6*p. Suppose 4*r + 2*x = 14, p*x + 26 = 4*r - 2*x. Suppose -r*o + 9*o = 60. Calculate the remainder when o is divided by 6.
3
Calculate the remainder when (-21840)/(-42) - (-4 + 8)/1 is divided by 107.
88
Suppose 5*m - 8*w - 643 = -7*w, m + 2*w = 122. Calculate the remainder when 371 is divided by m.
115
Let g(k) = k**2 - 391*k - 1579. Calculate the remainder when 122 is divided by g(-4).
0
Suppose 3*o - 54 = -18. Suppose -3*q - 2160 = -o*s + 7*s, s - 3*q = 444. What is the remainder when s is divided by 36?
33
Let n(b) = -40*b + 61. Let w(v) = 39*v - 65. Let p(i) = -5*n(i) - 4*w(i). Calculate the remainder when p(4) is divided by 28.
19
Let z = -6 + 24. Let s = 4506 + -4496. What is the remainder when z is divided by s?
8
Suppose 4*p = -5*x + 396, -p - 674 + 248 = -5*x. What is the remainder when x is divided by 82?
2
Suppose 26*g - 4*g = -10*g + 768. Let a = -32 + 75. Calculate the remainder when a is divided by g.
19
Suppose 5*j = 3*j - 20. Let r be (-1)/((-5)/9) - 2/j. Suppose 3*u - 81 = -6*x + r*x, x - 33 = -5*u. What is the remainder when 47 is divided by x?
11
Let u = -67 - -100. Let f(t) = -t**3 - 15*t**2 + 18*t + 20. Let a be f(-16). Let g = a + u. What is the remainder when g is divided by 4?
1
Let u be (3 - 18/4)*-22. Suppose -5*v = -3*o + u + 30, -5*v + 21 = o. What is the remainder when o is divided by 11/11 + 16 - 5?
9
Let p = 188 - 159. Suppose 0 = p*o - 25*o - 28. What is the remainder when 24 is divided by o?
3
Let j(g) = -64 + 20 + 18 + 12*g**2 + 4*g - g**3. What is the remainder when 86 is divided by j(12)?
20
Let n(d) = -d**3 + 33*d**2 - 54*d + 64. Calculate the remainder when 21527 is divided by n(31).
311
Suppose 690 = 28*j - 38. What is the remainder when 647 is divided by j?
23
Let s be (530/(-8) - 2)*4. Suppose 0 = 4*k - 278 + 38. Calculate the remainder when k is divided by s/(-30) + (-1)/10.
6
Suppose a + 4 = 2*a. Suppose 0 = -t + 4*d + 2, 4*t + d = 4*d + 8. Let o = a + t. Calculate the remainder when 6 is divided by o.
0
Suppose 78*i - 79*i + 108 = -4*o, -2*o = 3*i - 184. Let g = 52 + -36. Let p = g + 3. What is the remainder when i is divided by p?
11
Calculate the remainder when 1814 is divided by (-249830)/(-1909) + (-15)/(-115).
111
Suppose -4*i = -16 - 216. Suppose -94695 = -421*l - 658*l + 47733. Calculate the remainder when l is divided by i.
16
Let y = 2341 + -2320. What is the remainder when 944 is divided by y?
20
Suppose -4*s + j = 3728, 4*s - 14*j + 3720 = -11*j. Let k = -925 - s. Let q = -193 - -280. Calculate the remainder when q is divided by k.
7
Suppose -49*u + 51*u = r + 1513, -4*r + 2264 = 3*u. Calculate the remainder when u is divided by 63.
0
Suppose -2*q = 3*f - 148, -7*f + 288 = 4*q - 3*f. Suppose 0 = 72*d - q*d - 316. Calculate the remainder when d is divided by 68.
11
Let x(g) = 9*g**2 - 23*g - 12. Suppose 61*y - 72*y = -55. Calculate the remainder when x(y) is divided by 53.
45
Suppose -10 = 2*f, 5*f + 43 = 3*w + 12. What is the remainder when -3 + 491 + 12 + w + -1 is divided by 72?
69
Let l(v) = 16074 - 17*v - 4*v - v**2 - 16172. Calculate the remainder when 19 is divided by l(-11).
7
Let a = -1582 + 1727. What is the remainder when 1154 is divided by a?
139
Let s = -742 - -15639. Calculate the remainder when s is divided by 10.
7
Let c(r) = r**3 - 38*r**2 + 9*r + 18. Calculate the remainder when c(38) is divided by 22.
8
Suppose 3*h + 68 = m, -2*h - 5*m - 42 = 9. Let r = h + 35. Let q = 29 - 6. Calculate the remainder when q is divided by r.
11
Let w = -100412 + 100443. Let j = 98 + -41. Calculate the remainder when j is divided by w.
26
Suppose 24*o - 71 = -s + 20*o, -2*o + 337 = 5*s. What is the remainder when 9512 is divided by s?
65
Let g(r) = -35*r**3 + 10*r**2 + r - 2. What is the remainder when 545 is divided by g(-1)?
41
Let p = 7024 + -4472. What is the remainder when p is divided by 37?
36
Let v(s) be the first derivative of -6*s**4 + s**2/2 + s + 1. Let w = 868 - 773. What is the remainder when w is divided by v(-1)?
23
Let n(m) = 6*m**2 - 12*m - 10. What is the remainder when n(-7) is divided by 7?
4
Calculate the remainder when 10003 is divided by 220/(-66)*(-1230)/100.
40
Suppose 5*q = f + 1050, -q + 199*f = 195*f - 210. Calculate the remainder when q is divided by 44.
34
Let v(q) = -12*q - 162. What is the remainder when v(-16) is divided by -3*12*8/(-36)?
6
Let f be (12 - 1) + (4 - (3 + -2)). Suppose -f*q = -q - 520. What is the remainder when q is divided by 12?
4
Let d = -1268 - -1272. Suppose 2*h - 11 = -d*a + 9, 2*h = 5*a + 65. What is the remainder when 1/2*39*2 is divided by h?
19
Let l = -9 - -29. Let h(w) = w**2 + 6*w - 1. Calculate the remainder when 3 + 5*(156/l - 4) is divided by h(-7).
4
Let l(i) = 32*i**3 + i**2. 