 when 9 is divided by x(k).
4
Calculate the remainder when (-2)/(((-140)/195)/14) is divided by 6.
3
Suppose -r + 0*r + 11 = 0. Let u = r - 8. Calculate the remainder when 11 is divided by u.
2
Let j = 1 - 16. Let i be (4*1)/((-6)/j). Suppose 6*d - 4*d - i = 0. What is the remainder when 8 is divided by d?
3
Let k(t) be the third derivative of t**4/24 + 7*t**3/3 - 5*t**2. What is the remainder when 37 is divided by k(7)?
16
Let b = -105 + 166. What is the remainder when b is divided by 7?
5
Suppose 0*g = -3*g + 693. Let k = 7 + g. What is the remainder when k is divided by 48?
46
Suppose -46 = d - 6. Let q(v) = -9*v - 268. What is the remainder when q(-34) is divided by (-1 - 2)*d/12?
8
Let f(q) = q**2 - q + 4. Let u(k) = -k + 2 - 3 + 0 + k**2 + 4*k. Calculate the remainder when f(5) is divided by u(-5).
6
Let d = -340 + 358. Let m = -73 - -107. Suppose -3*j - 4 = -m. Calculate the remainder when d is divided by j.
8
Suppose 5*x - 27 = -h, -5*x - 10 = 3*h - 51. Suppose h*g = -13 + 174. Calculate the remainder when g is divided by 8.
7
Let c be ((-156)/20)/(3/(-15)). Suppose 4*r + 0 = -20, 3*r + c = 4*n. Suppose -5 = 5*l, -3*s = -2*l - 62 + n. Calculate the remainder when s is divided by 4.
2
Let i = 11 + -7. Suppose 8*x - 15*x = -70. What is the remainder when x is divided by i?
2
Let b = -15 + 10. Let g be -1 + b - (8 + -11). Let j = g - -16. Calculate the remainder when j is divided by 5.
3
Suppose -40*o + 45*o = 10, 5*u + 3*o = 416. What is the remainder when 572 is divided by u?
80
Suppose 31*i + 2*c = 34*i - 22, i - 22 = -3*c. What is the remainder when 37 is divided by i?
7
What is the remainder when 1479/12 - 4/80*5 is divided by 19?
9
Suppose 2*x + 10 = 0, 0*a - 2*a - 9 = 3*x. Suppose -a = 5*t - 83. What is the remainder when 95 is divided by t?
15
Suppose 7*y = -y + 24. Let n = 6 + y. Calculate the remainder when n is divided by 5.
4
Suppose -n + 1181 = 5*q, 5*q + 241 = 6*q - n. Calculate the remainder when q is divided by 17.
16
Suppose -i - 5*o + 15 = 0, -2*i - o + 5*o + 44 = 0. Suppose -160*q + 173*q - 91 = 0. Calculate the remainder when i is divided by q.
6
Let f(z) = z**3 - 9*z**2 + 8*z + 6. Let i be ((-20)/(-15)*-3)/((-1)/2). Suppose 2*y - 6*y + 12 = 0. Calculate the remainder when f(i) is divided by y.
0
Let f = 8 + -5. Suppose 0 = -10*p + 2*p + 32. What is the remainder when (40 - 35) + (p/(-2))/(-1) is divided by f?
1
Suppose 10*o - 59 + 9 = 0. What is the remainder when 26/8 + o/(-20) is divided by 1?
0
Suppose -7*f + 1605 = -201. What is the remainder when f is divided by 64?
2
Suppose 774 = 4*t + 5*w, w + 6 = 4. Suppose -3*a - t = 47. Let g = a + 154. Calculate the remainder when g is divided by 25.
23
Let z = -6 - -12. Let g(d) = -12*d + 69. What is the remainder when g(4) is divided by z?
3
Let o(a) = a**2 + 4*a - 13. Calculate the remainder when o(-12) is divided by 13.
5
Suppose 3*d - 90 = -2*j, 4*d + 10*j - 119 = 7*j. What is the remainder when 133 is divided by d?
5
Let m be -2*(-78)/(-24)*(-3 + 1). Suppose -5*u = -m*u + 160. Calculate the remainder when u is divided by 5.
0
Suppose f = 3*f - 6. Suppose -4*r + 22 = 2*n, 0 = -f*n - r + 17 + 1. What is the remainder when 2 is divided by 4*(2 - n)/(-12)?
0
Suppose -3*j + 4*k + 552 = 0, 1 + 5 = -2*k. Calculate the remainder when j is divided by 17.
10
Suppose 0 = -2*k + 3*c + 653, -28*c = -31*c - 3. Calculate the remainder when k is divided by 103.
16
What is the remainder when 175 is divided by 271/6 + 9/(-54)?
40
Let g(y) = -y**3 - 74 + 35 + 42 + 4*y**2 + y**2. Let f(c) = 2*c**3 - 4*c**2 + 2*c + 1. Let i be f(2). What is the remainder when 8 is divided by g(i)?
2
Let j(f) be the first derivative of f**2 + 7*f - 10. Let b be j(-7). Calculate the remainder when (-1 + 0)*2 - b is divided by 5.
0
Suppose -152 + 12 = g. Let h = 183 + g. Calculate the remainder when h is divided by 8.
3
Suppose -580 = 5*r - 10*r. Let m = r + -34. What is the remainder when m is divided by 43?
39
Let p(q) = -12*q - 2. Let r be p(6). Let a = 141 + r. Suppose -5*z - 23 = -5*w + a, -4*z + 4 = 0. Calculate the remainder when 54 is divided by w.
16
Let f = 1768 + -142. Calculate the remainder when f is divided by 37.
35
Let p = 42 + 35. Let n(y) = 43*y**3 - 42*y**3 - 9*y**2 + 16 - 9*y + y**2. Calculate the remainder when p is divided by n(9).
13
Suppose 4*a + a - 5*v = 2285, 2*a - 926 = 5*v. What is the remainder when a is divided by 91?
89
Let d be -5 + 2 + -1 + 0. Calculate the remainder when 21 is divided by 6/d + 4/(-8)*-27.
9
Suppose -4*k + 3*c = -46 - 25, 0 = -3*c + 9. Calculate the remainder when 379 is divided by k.
19
Let g(d) = d**3 + d**2 - 2*d - 2. Let i be g(-1). Suppose i = -z + 37 + 13. What is the remainder when 148 is divided by z?
48
Let x(b) = b**2 + 6*b + 2. Let v be x(-6). Let l(y) = -2 - y**v + 9 - 5*y - 1. What is the remainder when 8 is divided by l(-5)?
2
Suppose 11*v + 2424 = 7*v. Let k = v - -926. Suppose 4*i - k = 5*m, 2*i + 5*m = i + 105. What is the remainder when i is divided by 22?
19
Let t = -10 - -24. Let s = -20 + 19. Let k = 40 - s. What is the remainder when k is divided by t?
13
Suppose -375 = -2*m - 333. Calculate the remainder when m is divided by 8.
5
Let b(j) = 26*j**2 - j. Suppose 30*q - 2 = 28*q. What is the remainder when b(q) is divided by 11?
3
Suppose -24*t + 124 = -20*t. Let w = t - 14. Let v = 11 - -56. What is the remainder when v is divided by w?
16
Let c be 1 - 2/((-3)/3). Suppose -c*d + 55 = 5*f - 3, 0 = d - 5*f - 6. Let s = d + -6. Calculate the remainder when 18 is divided by s.
8
Let j(r) = -r**3 - 3*r**2 - 2*r + 4. Let h be -8*((-3)/6 - -1). Let v(y) = -9*y**3 - 62*y**2 - 4*y + 6. Calculate the remainder when v(-7) is divided by j(h).
27
Let q = -111 - -168. Suppose 5*z - 2*z = o - 27, -5*z - 145 = -5*o. Calculate the remainder when q is divided by o.
27
Let j be (-46 - -3 - 2) + 1. Let t = j + 71. Let n(i) = 2*i**3 - 5*i**2 + i + 2. Calculate the remainder when t is divided by n(3).
13
Let k be ((-272)/24)/(4/6). What is the remainder when 30 is divided by (k/5)/((-1)/5)?
13
Let f = -129 - -160. Let r be 3/(0 + (-1)/1). What is the remainder when f is divided by 13 - r - (1 + -1)?
15
Let h(l) = l**3 + 7*l**2 + l + 9. Let k be h(-7). Suppose 4*z = k*z + 26. Calculate the remainder when z is divided by 5.
3
Let r = 640 - 567. Calculate the remainder when r is divided by 61.
12
Let a = 5 + -3. Suppose -29 = -a*d + 57. Calculate the remainder when d is divided by 11.
10
Let x be 17/(-2) + 4/8. Let y = -17 - x. Calculate the remainder when y/((6/(-44))/1) is divided by 17.
15
Let k be (-35 - 1)*(-8)/24. Suppose -2*z + 78 + 32 = 0. Calculate the remainder when z is divided by (-18)/k*((-34)/3 + 2).
13
Let s = 727 + -708. What is the remainder when 75 is divided by s?
18
Let j = 1766 + -1674. What is the remainder when j is divided by 16?
12
Suppose -592 = -q - 199. What is the remainder when q is divided by 115?
48
Let i = -280 - -188. Let q = i - -115. Calculate the remainder when 1314/15 + (-2)/(-5) is divided by q.
19
Let r(p) = 24*p**2 + 2*p - 3. Calculate the remainder when r(2) is divided by 50.
47
Let t be 134*(-2)/(-4) - 1*3. Suppose -t = -0*v - 4*v. Calculate the remainder when 79 is divided by v.
15
Suppose -1311*t - 788 = -1315*t. Calculate the remainder when t is divided by 18.
17
Suppose -4*w - 2*g + 960 = -2840, -1896 = -2*w + g. What is the remainder when w is divided by 68?
65
Suppose 0 = -4*y - 0*u - 3*u + 67, -u - 15 = -y. Let w(k) = -k**2 + 16*k + 23. What is the remainder when (-8)/20 - (-674)/10 is divided by w(y)?
21
Suppose j = 4*j - 15, -5*j = 3*x - 5266. What is the remainder when x is divided by 92?
91
Let u(a) = -a**3 - 22*a**2 - 2*a - 25. Calculate the remainder when 32 is divided by u(-22).
13
Suppose 0 = 5*u - v - 120, 0*u = -4*u + 4*v + 112. Suppose 22 = m - u. What is the remainder when m is divided by (-9)/2*16/(-6)?
9
Suppose 0 = 2*i + 3*r - 55, -4*r - 22 = 30*i - 31*i. Calculate the remainder when 45 is divided by i.
19
Suppose -4*j = 3*c + 837 - 3515, 5*c - 4460 = -5*j. Calculate the remainder when c is divided by 19.
16
Suppose -4*l + 1131 - 1059 = 0. Suppose 0 = -5*t - 2*h + 59, 4 = h + 2. Calculate the remainder when l is divided by t.
7
Let r(o) = 2*o**2 + 4*o - 3. Let l(g) = g**3 - 2*g**2 - 7*g - 2.