197. What is the remainder when 23 is divided by c?
7
Suppose -3*c + 4 = -11. Suppose 0*i = 5*f + 5*i - 65, c*f = -3*i + 61. Calculate the remainder when 54 is divided by f.
10
Let n(x) = -x**3 - 10*x**2 - 12*x + 8. Let d = 9 + -18. Calculate the remainder when n(d) is divided by (-2)/3 + (-38)/(-3).
11
Let p be 2/(-2)*(15 - 8). Let q = p - -31. Calculate the remainder when 47 is divided by q.
23
Let p(s) = 2*s**3 - 7*s**2 - s - 6. Let g be p(5). Suppose -2*u + 5*u = -2*t + 27, 5*u - 3*t - g = 0. What is the remainder when 41 is divided by u?
8
Let m(k) = 2*k**2 + 3*k - 3. Let c(t) = 5*t**2 + 10*t - 10. Let u(h) = -3*c(h) + 10*m(h). Let y = -4 - -3. Calculate the remainder when u(y) is divided by 2.
1
Suppose -4*w + 890 = -0*w + 2*u, -4*w = -4*u - 908. Calculate the remainder when w is divided by 70.
14
Let d(c) be the third derivative of 0*c + 8*c**2 - 1/60*c**5 + 0 - 19/6*c**3 - 17/24*c**4. What is the remainder when 39 is divided by d(-15)?
6
Suppose -4*r + 37 = -87. Let v = -5 + r. Let l = v - 21. Calculate the remainder when 7 is divided by l.
2
Calculate the remainder when 107 is divided by (51/21 - -3)/((-1)/(-7)).
31
Suppose 13*b = 14*b - 3. Suppose 9 = b*a - 27. What is the remainder when a is divided by 7?
5
Suppose -25 - 94 = -3*x + j, 4 = j. Calculate the remainder when 90 is divided by x.
8
Suppose -s - 16 = -2*t, -4*t - 3*s + 2 = -10. Suppose 0 = -5*w - 2*o + 85, 0 = -4*w - 4*o - t + 86. Calculate the remainder when 44 is divided by w.
14
Let v(m) = -7*m - 67. Calculate the remainder when 89 is divided by v(-16).
44
Let f(s) = -3*s + 10. Let j be f(3). Let k(z) = 90*z + 2. What is the remainder when k(j) is divided by 31?
30
Let b be (-240)/32*(-8)/10. Let a be (2/b)/(6/54). Suppose -4*w + 11 = a*u - 7, 0 = -4*w - 12. What is the remainder when 29 is divided by u?
9
Let c(o) be the third derivative of -o**6/120 + 11*o**5/60 + o**4/12 + 4*o**3 + 3*o**2. What is the remainder when c(11) is divided by 12?
10
Let s(o) = 3*o**2 - 2*o + 6. Let y = -106 + 110. Suppose -4*x + y*h = 2*h - 134, -4*h - 144 = -4*x. What is the remainder when s(-5) is divided by x?
29
Let x = 1875 + -1043. Calculate the remainder when x is divided by 22.
18
Suppose -d + 8 - 29 = 0. What is the remainder when 316/6 + (-7)/d is divided by 18?
17
Let h(m) be the third derivative of -m**6/120 + m**4/8 - m**3/6 - 9*m**2. Calculate the remainder when h(-3) is divided by 7.
3
Suppose -21*g - 208 = -2014. Calculate the remainder when 215 is divided by g.
43
Suppose 0 = 2*h - 5*h + 33. Let f = 14 - h. Suppose 0 = 2*k - k + t - 22, -f*t - 88 = -4*k. What is the remainder when 86 is divided by k?
20
Let z(p) = p + 5. Let u be z(0). Suppose -k + u - 1 = 0. Suppose j = -5*t + 52, -k*t + 343 - 62 = 5*j. What is the remainder when j is divided by 15?
12
Suppose -2*u - 103 + 21 = -2*v, -4*v = -5*u - 167. What is the remainder when 108 is divided by v?
32
Suppose -3*n = 4*o - 0 - 22, 2 = -3*n + 2*o. Suppose 5*k = -4*a + 18, 0*a + 3*a = -4*k + 13. Calculate the remainder when 12/(-21) + (201/a)/3 is divided by n.
1
Let z(u) = 10*u**2 - 3*u + 2. Let q be z(1). Let h = q + -4. Suppose 0*p - h*p + 45 = 0. What is the remainder when 43 is divided by p?
7
Suppose 0 = -0*i - 2*i + 8. Suppose 12 = i*p - 4*r, 4*r = r + 3. Suppose -p*u + 150 = u. Calculate the remainder when u is divided by 11.
8
Let y(r) = 165*r - 1. Let f be y(-3). What is the remainder when f/(-36) - 2/(-9) is divided by 2/(-8) - 546/(-104)?
4
Let y(k) = -k**3 + 12*k**2 + 10*k - 11. Let s = 41 + -29. What is the remainder when y(s) is divided by 28?
25
Suppose -525*c = -528*c + 90. What is the remainder when 624 is divided by c?
24
Suppose 75 = 3*i + 5*w + 26, -3*i + w = -19. Suppose -2*g = -6 - i. What is the remainder when 27 is divided by g?
6
Suppose 28*q - 70 = 24*q + 2*u, 3*q + 4*u - 58 = 0. Calculate the remainder when q is divided by 5.
3
Suppose 0 = 17*t - 2*t - 630. What is the remainder when t is divided by 22?
20
Calculate the remainder when 166 is divided by (-7 - (-55)/22)*-26.
49
Suppose -4*k + 3*p + 78 = p, 4*k - 71 = -5*p. Suppose 9 - 4 = -i - 2*u, 0 = -i + 3*u + 15. Calculate the remainder when k is divided by i/((1/2)/((-7)/(-14))).
1
Let a(k) be the second derivative of k**3/6 + 63*k**2/2 + k. Suppose -2*g + 0*g - 4 = -4*p, -p - 2*g - 4 = 0. What is the remainder when a(p) is divided by 22?
19
Let q be -12*2*(-2)/12. Suppose 5*b - 52 = -3*u, 0 = 3*u - u + q*b - 38. What is the remainder when (-5)/(-2)*(0 - (0 + -14)) is divided by u?
8
Let j = -181 + 203. What is the remainder when 106 is divided by j?
18
Calculate the remainder when ((-10)/6)/((-20)/408) is divided by 6.
4
Let l be 2 + 0 + (-2 - -505). Suppose -4*r + l = r. Calculate the remainder when r is divided by 26.
23
Let v = -467 + 484. What is the remainder when 163 is divided by v?
10
Let d = 121 - 209. What is the remainder when 27 is divided by (-15)/(0 - 3)*d/(-55)?
3
Suppose -2*m = -2*g - 60, 3*g = m - 48 + 12. Calculate the remainder when m is divided by 14.
13
Suppose 9 + 11 = 5*s, 5*s = 2*l + 10. Suppose -66 = -l*n + 4*h, -2*h - 11 - 1 = -n. Let x = 1 + n. What is the remainder when x is divided by 9?
6
Let h = 58 - 13. Let c(p) = -5*p**2 - 2*p - 2. Let u(w) = 6*w**2 + 3*w + 3. Let s(t) = -6*c(t) - 4*u(t). Calculate the remainder when h is divided by s(-2).
21
What is the remainder when (2*410/(-8))/((-3)/6) is divided by 53?
46
Suppose 501 = 12*z - 591. Calculate the remainder when z is divided by 5.
1
Suppose -o + 444 = 3*r - 6, -o = -4*r + 600. Calculate the remainder when r is divided by 93.
57
Suppose 19*x - 23*x + 844 = 0. Let l = x + -96. Calculate the remainder when l is divided by 39.
37
Let s be (-690)/(-14) - 4/14. Let p = 76 - s. Let f(h) = h**3 + 8*h**2 - 22*h - 5. What is the remainder when p is divided by f(-10)?
12
Let b(o) = 6*o + 16 - 20*o - o**2 + 0*o. What is the remainder when 197 is divided by b(-12)?
37
Calculate the remainder when 55 is divided by 9/((-18)/(-44)) - 2.
15
Suppose 730*h - 135 = 727*h. Calculate the remainder when 132 is divided by h.
42
Let h be 394/7 + 2/(-7). Calculate the remainder when -1 + (2 + h - 2) is divided by 28.
27
Let a = -1143 + 1401. Calculate the remainder when a is divided by 54.
42
Let j = -149 + 170. What is the remainder when 28 is divided by j?
7
Suppose -31 = -5*y + 184. Let m = 79 - y. What is the remainder when m is divided by 10?
6
Let r be (-2)/19 + (-2286)/(-57). Let f = r - 31. Calculate the remainder when 35 is divided by f.
8
Let k(m) = 44*m - 199. Calculate the remainder when 155 is divided by k(6).
25
Let h = -298 + 334. What is the remainder when 170 is divided by h?
26
Suppose 2 = -5*o + 37. Let w(m) = m**3 - 8*m**2 + 7*m + 1. Let p = 1 - -1. Calculate the remainder when p is divided by w(o).
0
Let k(s) = 4*s**2 + 8*s - 10. What is the remainder when k(7) is divided by 41?
37
Suppose 208*w = 206*w + 28. Calculate the remainder when 52 is divided by w.
10
Calculate the remainder when 22/8*10 + (-14)/(-28) is divided by 15.
13
Let y(l) = 2*l - 10. Let w(h) = h - 1. Let n(u) = 3*w(u) - y(u). Calculate the remainder when (9/(-2))/((-3)/20) is divided by n(4).
8
Let z be (-5*2/(-10))/(-1). Calculate the remainder when -2 - (z + -3 - 69) is divided by 36.
35
Suppose 25*o - 14*o = 3223. What is the remainder when o is divided by 74?
71
Let k(c) = -19*c - 308. What is the remainder when k(-25) is divided by 54?
5
Suppose 0 = 3*v - 4*k - 1143, -k - k = 5*v - 1931. Suppose 2*y = 7*y - v. What is the remainder when y is divided by 26?
25
Let u(k) = -11*k + 8. Let w be u(-5). Let s = w - 23. Suppose -l = -2*i - i + 64, 0 = -5*i + l + 106. What is the remainder when s is divided by i?
19
Let x(a) = 16*a + 16. Let j be x(-4). Let k = j - -92. What is the remainder when 173 is divided by k?
41
Suppose 0 = -4*d + 5*s + 215, 4*s - s - 15 = 0. Calculate the remainder when 296 is divided by d.
56
Let t(n) = -n - 8. Let g be t(0). Let d = g + -8. What is the remainder when 13 is divided by (-5 + 4)/(2/d)?
5
Suppose 261 = 6*s + 57. What is the remainder when s is divided by 6?
4
Let p(v) = -v**3 - 12*v**2 - 23*v + 12. Calculate the remainder when p(-10) is divided by 2/(-5)*(-110)/4.
9
Let t = 120 - 77. What is the remainder when t is divided by 3/(-1) + 4/(-26) + (-8690)/