= 2697 + -2693. Calculate the remainder when 397 is divided by d.
1
Suppose -l - 8 = -5*l. Suppose l*j = -3*o + 12, o - 3 = 5*j + 1. Suppose -z - 3 + 21 = j. What is the remainder when 34 is divided by z?
16
Suppose 0*a + 8*a = 2816. Suppose 0 = -6*c - 52 + a. Calculate the remainder when c is divided by 13.
11
Suppose -5*c - 108 = -2*c. What is the remainder when (-18)/c - 26/(-4)*5 is divided by 10?
3
Let p = -3 - -16. Suppose -23 = -r + p. Suppose 0 = -9*k - 0*k + 1269. What is the remainder when k is divided by r?
33
Suppose -k + v - 5 = 32, 4*v + 118 = -3*k. Let o = -155 + k. Let x = -135 - o. What is the remainder when x is divided by 12?
10
Suppose 2*i = 4*i - 24. Let c = -3 + 53. Let a = -16 + c. What is the remainder when a is divided by i?
10
Suppose -105*l = -108*l + 24. What is the remainder when 31 is divided by l?
7
Let k = 11 - 11. Suppose -5*y + 15 + 145 = k. Let c = 60 - y. What is the remainder when c is divided by 10?
8
Let a = 13 + 0. Suppose 3*v - 1 - 4 = -4*n, -n - 7 = -2*v. Let p(x) = -24*x. What is the remainder when p(n) is divided by a?
11
Let v = 54 + -47. Suppose -2*i = 3*f - 132, -v*f + 178 = -3*f + 2*i. Calculate the remainder when f is divided by 27.
19
Let m = -21 - -24. What is the remainder when 83 is divided by (-4)/6 + 86/m?
27
Let f = 942 - 853. Calculate the remainder when f is divided by 34.
21
Let d(s) = -15 + s - 3*s + 16. Let o be d(-6). Suppose b - o - 8 = 2*j, -5*j = -b + 6. What is the remainder when 120 is divided by b?
27
Let m(l) = -7*l + 39. Let b be m(6). Calculate the remainder when 15/((-225)/78 - b) is divided by 33.
31
Let c = -68 - -49. Let u = 184 - c. What is the remainder when u is divided by 34?
33
Let o(i) = i + 7. Let c = -17 - -12. Let r be o(c). Suppose 183 = 5*j - r*v + 57, -15 = 5*v. Calculate the remainder when j is divided by 13.
11
Let v = 12 - -4. Suppose -2*z + 18 = -z. Suppose 2*o + z = 4*o. Calculate the remainder when v is divided by o.
7
Suppose 5*k - 125 = 25. Let x(y) = y**3 + 89. Calculate the remainder when x(0) is divided by k.
29
Suppose -20*a = -523 - 17. What is the remainder when 133 is divided by a?
25
Let q(x) = -x**3 - x**2 + 20*x + 19. Calculate the remainder when q(-7) is divided by 26 - 3*(-4 - -3).
28
Let w(z) = -z + 12. Let h be 34/119 + 33/7. Calculate the remainder when w(h) is divided by 4.
3
Suppose 55*b = 5358 + 2067. Calculate the remainder when b is divided by 127.
8
Let x = -110 + 187. Calculate the remainder when x is divided by 29.
19
Suppose 0 = -x - o + 29, -o + 21 = 2*x - 32. Let j = -5 + 48. Calculate the remainder when j is divided by x.
19
Suppose -20*b = -0*b + 920. Let k = b + 57. What is the remainder when 96 is divided by k?
8
Suppose 0 = 3*g - 53*g + 600. Let p be (-2)/7 + (-26)/7. Let v(l) = -8*l + 3. What is the remainder when v(p) is divided by g?
11
Let x(m) = m**3 - m**2 - 5*m + 6. Let z be x(-3). Let l = 28 + z. Calculate the remainder when 2*(2 - 33/(-2)) is divided by l.
11
Suppose -4*s + 20 = 0, 12*z - 9*z - 28 = -2*s. What is the remainder when 14 is divided by z?
2
Let h(r) = r**2 - 3*r + 3. Let s = -37 + 44. What is the remainder when h(5) is divided by s?
6
Suppose 0 = 3*o - 4*o + 13. Suppose 4*w = 3*w + 5. Suppose -4*l + k = 2*k - 91, -k = -w*l + 125. Calculate the remainder when l is divided by o.
11
Suppose 21 = 3*c + x - 4*x, -20 = -2*c + 4*x. Suppose 4*t - 2*g = 312, 5*t - 96 = c*t + 5*g. Calculate the remainder when t is divided by 11.
10
Let d = -11 - -12. Let b(m) = 9*m - 2. Calculate the remainder when (0 - -48)*1/2 is divided by b(d).
3
Suppose 3*q + 18 - 6 = 0. Suppose 28*p = -5*h + 33*p + 180, -4*h - p = -159. Calculate the remainder when h is divided by 42/(-4)*q/3.
11
What is the remainder when 370 is divided by (1 - (-70)/(-8))*(-219 + 207)?
91
Let a(m) = -m**3 - 16*m**2 + 16*m. Let n(q) = q**3 - 22*q**2 - 19*q - 43. Calculate the remainder when n(23) is divided by a(-17).
15
Suppose 0*h + 21 = 3*h. Let u = h - 4. Suppose -13*q = -8*q - 30. What is the remainder when q is divided by u?
0
Let k(z) = -7*z - 271. Calculate the remainder when 91 is divided by k(-41).
11
Suppose -10 = q - 5*q - 2*g, 3*q - 3*g - 21 = 0. Suppose 5*z - 4*w = z + 192, 0 = -q*w - 12. What is the remainder when 89 is divided by z?
44
Let b(o) = 7*o - 3. Let z be b(6). Let s be (1 + -1)/((-48)/(-12)) + -26. Let r = s + z. Calculate the remainder when 37 is divided by r.
11
Let o(w) = w**3 + 11*w**2 - w - 2. Let r be o(-11). Let b = 7 + r. Suppose -3*s - b = -7*s. What is the remainder when 23 is divided by s?
3
Calculate the remainder when 3*(23 - 25)*94/(-4) is divided by 29.
25
Let s(z) = z**3 + 17*z**2 - 15*z + 26. Let i be s(-18). Calculate the remainder when i*(-2 + (-7)/(-4)) is divided by 2.
1
Let t = 14 + -31. Calculate the remainder when 2*((-22)/(-4) - -2) is divided by t/(-5) - 24/(-40).
3
Suppose 5*b + 4*q = 841, 2*q + 850 = 5*b - 3*q. Calculate the remainder when b is divided by 17.
16
Let b = 11 - 6. Suppose 5*i - 80 = -7*c + 2*c, -i + 24 = 3*c. Calculate the remainder when i is divided by b.
2
Let g(k) = k**2 - 2. Let x be g(-2). Suppose 2*r - r = x*y + 16, -29 = -4*r + y. What is the remainder when 34 is divided by r?
4
Let v(a) = -2*a**2 + 71*a - 89. Calculate the remainder when 36 is divided by v(34).
10
Calculate the remainder when (-2002)/56*(7 + -15) is divided by 51.
31
Suppose -2*x = -9*x + 217. Calculate the remainder when x is divided by 9.
4
Let a = -15537 + 15545. Let r(p) = -p**3 + 7*p**2 - 1. What is the remainder when r(3) is divided by a?
3
Suppose 6*c = 2*c + 2*w - 88, 3*c + 5*w + 79 = 0. Let q = c + 43. Calculate the remainder when 98 is divided by q.
18
Suppose 4*a - 52 = 20. Let h(m) = -m**3 - 3*m**2 + 2*m + 6. What is the remainder when 6/a*(83 + -2) is divided by h(-4)?
13
Let y(u) = u**2 + 6*u - 6. Let q(l) = l**3 - 28*l**2 - 30*l + 39. Calculate the remainder when y(5) is divided by q(29).
9
Let h = -1605 + 1712. Calculate the remainder when h is divided by 8.
3
Let m(g) = 17*g - 1. Suppose -4*b + 71 = 5*k, -5*b + 4*k - 12 + 70 = 0. Let w = -5 + b. Calculate the remainder when m(1) is divided by w.
7
Let f(b) = -b**2 + 8*b + 7. What is the remainder when 14 is divided by f(7)?
0
Suppose 3*w - 16 = 14. Let u be (1/((-1)/6))/2. What is the remainder when ((-62)/(-4) - u)*2 is divided by w?
7
Let o(i) be the first derivative of 5*i**2/2 - 27*i - 6. What is the remainder when o(12) is divided by 7?
5
Suppose 2*n = -0*n + 6. Suppose 4*q + 280 = 4*l, 4*l - 5*q = n*l + 66. What is the remainder when l is divided by 18?
17
Suppose -298 = -39*p + 1067. Suppose w - 2*w - 2 = a, 40 = 5*a - 5*w. What is the remainder when p is divided by a?
2
Let a = 61 + -48. What is the remainder when 38 is divided by a?
12
Let j be -42*((-14)/4 - -3). Calculate the remainder when (2/(-4))/(7/(-336)) is divided by ((-14)/j)/(2/(-27)).
6
Suppose -k = -37 + 105. Let v be k/5 - (-18)/(-45). What is the remainder when 22 is divided by -10 - v - (0 - 4)?
6
Let g = 108 + -105. Calculate the remainder when 79 is divided by (6/g*-1)/(3/(-6)).
3
Let c(f) = -f**2 - 1. Let m(i) = 3*i**2 - 4*i + 2. Let p(x) = -4*c(x) - m(x). Calculate the remainder when p(-5) is divided by 5.
2
Suppose 4*n - 10 = -n. Suppose n*c = -3*c - 5*b + 380, 4*c - 286 = 5*b. What is the remainder when c is divided by 153/(8 - -1) - -2?
17
What is the remainder when 196 is divided by 269/7 + (-15)/35?
6
Suppose 3*n + 26*q = 27*q + 27, 5*n + q - 45 = 0. What is the remainder when 79 is divided by n?
7
Let d(q) = -q**3 + 41*q**2 - 35*q - 154. Calculate the remainder when 126 is divided by d(40).
34
Let r = -54 + 89. Let j = r - 14. Let q(s) = -s**3 - 2*s**2 + 8*s + 6. Calculate the remainder when q(-5) is divided by j.
20
Let h(d) = d**3 + 21*d**2 + d + 9. Calculate the remainder when h(-19) is divided by 13.
10
Suppose -d - 2*d = 78. Calculate the remainder when (-16215)/(-195) + 4/d is divided by 17.
15
Let x be (0 - 8/6)*21/2. Let d(g) = -5*g - 20. What is the remainder when d(x) is divided by 18?
14
Suppose -2*n - 25 + 140 = -5*u, 3*n = -2*u + 182. Suppose 12*k - n = -0*k. What is the remainder when k is divided by 2?
1
Suppose 13 = g - 2. Let s(x) = -5*x + 12. Let r(w) = -6*w + 13. Let t(p) = 2*r(p) - 3*s(p). What is the remainder when t(g) is divided by