 the remainder when b is divided by m.
3
Suppose 19*n + 7*k - 1023 = 15*n, n = 2*k + 237. Calculate the remainder when n is divided by 56.
23
Suppose -75*i + 576 = -11*i. Calculate the remainder when 2266 is divided by i.
7
Suppose 27 + 18 = -3*o. Let j be 252/(-20) + (-9)/o. What is the remainder when 38 is divided by 14 - (j/4)/(-3)?
12
Suppose -68 = -3*w - 20*q + 21*q, 5*q = -40. Calculate the remainder when 399 is divided by w.
19
Let q(o) = -22*o + 2538. What is the remainder when q(-10) is divided by 10?
8
Calculate the remainder when 2185 is divided by (796/2)/((-153)/102*(-4)/3).
195
Let j(p) = 124*p**2 - 8*p - 1. What is the remainder when j(-1) is divided by (3 + 2)/(-10)*-44?
21
Let z = -3890 + 4126. What is the remainder when z is divided by 34?
32
Let h(q) = 78*q**2 - 6*q + 2. Let t be h(2). Let k = t + -134. Suppose k = 4*v + 24. What is the remainder when v is divided by 14?
8
Let m be (3 + 0 - 6) + 63. Suppose -3*c = -5*l - m, -6*l = 5*c - 2*l - 137. What is the remainder when (-1767)/(-18) - 2/12 is divided by c?
23
Let s = -523 + 1565. Suppose -1342 = -16*i + s. Suppose 2*x - 4*x + 100 = 0. Calculate the remainder when i is divided by x.
49
Let l be (-4977)/6*4*(-4)/24. Suppose h - l = -3*w, -2*h = 4*w - 7*h - 769. What is the remainder when w is divided by 39?
30
Let l = 1522 - 1300. What is the remainder when l is divided by 62?
36
Let f(p) be the first derivative of 26*p**2 - 9*p + 41. What is the remainder when f(2) is divided by 17?
10
Suppose 8*x = -19*x + 146 + 178. What is the remainder when 2123 is divided by x?
11
Let n(m) be the first derivative of m**3/3 - m**2/2 - 33*m + 18. Suppose y - 5*y + 8 = 0. What is the remainder when n(7) is divided by y?
1
Let j(r) = -r**2 - 27*r + 323. Suppose 11*v - 3*h = 15*v - 32, 63 = 5*v - 2*h. What is the remainder when j(-35) is divided by v?
10
Let a = -10 - -56. Let v(c) = -c**2 + 8*c - 9. Let t be v(5). Let h = 18 - t. Calculate the remainder when a is divided by h.
10
Suppose 2 = -5*p + 22. Let f be 1*p - 32/(-8). What is the remainder when (-255)/2*f/(-6) is divided by 43?
41
Let y(t) be the first derivative of t**3/3 - 6*t**2 + 18*t - 2. Suppose -45 = -4*k + a, 3*k = -4*a + 10 + 19. Calculate the remainder when y(k) is divided by 7.
0
Let l(f) = -47*f + 3*f**2 - 3*f**2 + f**3 + 3*f**2 - 7*f**2 - 3. What is the remainder when l(11) is divided by 8?
7
Suppose -2*x - 3*t = -80, 7 = -x - 4*t + 42. Let b(z) = z**3 + 11*z**2 + 11*z + 22. Calculate the remainder when x is divided by b(-10).
7
Suppose -2 = -3*k + 13. Let h(p) = -2*p + 57. Calculate the remainder when 120 is divided by h(k).
26
Let g be (-10)/(-12)*(-6 + 13 + -1). Suppose 4*q + 3*s = 5*q + 3, -4*q + g*s + 2 = 0. What is the remainder when 9 is divided by q?
0
Let d be (14/(-4))/(48/9888). Let i = 733 + d. What is the remainder when 30 is divided by i?
6
Let q(t) = 12 - t + 1 + 2. Let u be q(5). Suppose -7*d - u = -9*d. What is the remainder when 9 is divided by d?
4
Suppose -2*h + 532 = -3*o, -10*h + 7*h = 4*o - 747. What is the remainder when h is divided by 83?
8
Let u(p) = 3*p**3 - 172*p**2 + 64*p - 240. What is the remainder when 396 is divided by u(57)?
78
Let m(j) = 6*j**2 + 3*j - 5. Let z = 15 + -13. Let s = 34 - -62. What is the remainder when s is divided by m(z)?
21
Let t(x) = 2*x**3 - 5*x**2 - x - 3. What is the remainder when 5 + (-390)/(-40)*12 is divided by t(4)?
40
Suppose 0 = 2*q + 443 - 447. Calculate the remainder when 1 + (q - 2) - (-76 - -32) is divided by 8.
5
Let j = 707 + -647. Suppose 2*r = 4, -5*g = 3*r - 1151 + j. What is the remainder when g is divided by 4?
1
Suppose -4*l + 3*x + 0*x = 7739, 9694 = -5*l - 3*x. Let o = 2928 + l. Suppose 15*c = o + 29. Calculate the remainder when c is divided by 20.
8
Suppose -107*j = -102*j - 75. What is the remainder when 321/j*(-6*5)/(-6) is divided by 31?
14
What is the remainder when (4/(-3))/((-2)/8718) is divided by 171?
169
Let n(u) = -7*u**2 + u + 10. Let q be n(4). Let k = q + 103. Suppose -287 - 83 = -k*v. What is the remainder when v is divided by 11?
8
Let i = -937 - -941. Suppose -24*b + 22*b - 104 = -i*o, 3*o + 5*b - 104 = 0. Calculate the remainder when o is divided by (-1)/(-2) + (-31)/(-2).
12
Let d(u) be the first derivative of -15*u**2/2 - 26*u - 228. What is the remainder when 109 is divided by d(-5)?
11
Let z = -9 + 15. Suppose -3*r - 176 - 674 = 5*s, 529 = -3*s + 2*r. Let g = 177 + s. What is the remainder when z is divided by g?
2
Let y = 755 + -597. What is the remainder when y is divided by (-150)/9*-2*(-12)/(-20)?
18
Let w(f) = 14*f + 19. Suppose -6*j = -41 - 37. Suppose -v + 1 = -i + j, -3*i = -v - 28. Calculate the remainder when i is divided by w(-1).
3
Suppose 3*z = 2*o + 17, z + 8*o - 3*o - 17 = 0. Suppose 138 = z*k - 436. What is the remainder when k is divided by 5?
2
Let p = 508 - 505. Suppose 1 - 3 = -2*r - m, -p*m = 2*r + 6. Calculate the remainder when (-2)/8 - 37/(-4) is divided by r.
0
Suppose 3*m = 4*k - 2*k - 1720, -k + 4*m = -865. Calculate the remainder when 2581 is divided by k.
10
Suppose 11*t - 5811 - 3549 = -49*t. Suppose 0 = -3*v - 3*i, -4*v + 7*v = 2*i. Suppose -3*g + v = -120. Calculate the remainder when t is divided by g.
36
Suppose -110 + 278 = 3*m - 3*s, -m + 80 = 5*s. What is the remainder when m is divided by (1 - -10)*(0 - -2)?
16
Let q be 5/(-20)*(-5 + 1)*8. What is the remainder when (4/1)/(q/412) is divided by 54?
44
Let b = 22689 - 22102. Calculate the remainder when b is divided by 31.
29
Suppose x = 4*n + 5, -2*x - 258 = -3*n - 333. Let z = -11 - -31. Calculate the remainder when x is divided by z.
17
Let h(p) = p**2 - 82*p + 1447. What is the remainder when h(70) is divided by 35?
12
Suppose 46 = 34797*s - 34774*s. Let y(m) = 5*m**2 + m + 1. What is the remainder when y(-2) is divided by s?
1
Let g = 7707 + -7006. What is the remainder when 1418 is divided by g?
16
Suppose 0 = 2450*u - 2465*u + 570. Let g be (6/9)/((-4)/(-18)). Let q(h) = 13*h**2 - 3*h + 3. What is the remainder when q(g) is divided by u?
35
Suppose 43 - 31 = 2*b. Suppose 0 = -b*k + 3*k + 144. What is the remainder when k is divided by (3/(-12))/(4/(-80))*5?
23
Let a(y) = -3*y - 18. Let g be a(-6). Suppose 0 = -5*v - g*v - 5*j + 175, 0 = 3*j - 3. What is the remainder when v is divided by 14*(6 + (-22)/4)?
6
Suppose 4*g + 15 + 1 = 0, 4*o + 20 = -5*g. Let z be ((-36)/(-4))/(-1 + o/(-1)). Let c(p) = -18*p + 11. Calculate the remainder when c(z) is divided by 35.
33
Let v = -5414 + 5479. What is the remainder when 130 is divided by v?
0
Let x(z) = z**3 + 6*z**2 + 4*z - 3. Let o = -670 + 687. Suppose -11*b + 27 + o = 0. Calculate the remainder when x(-4) is divided by b.
1
Let t be 3 + -2 + (-126 - 18). Let q = t - -219. Suppose -2*c - q = -4*c - 2*l, 4*c - 128 = 2*l. Calculate the remainder when 66 is divided by c.
32
Let n = -6935 - -6963. Calculate the remainder when 1116 is divided by n.
24
Let h(o) = 117*o + 10913. What is the remainder when h(39) is divided by 33?
32
Let i = -179 - -182. Suppose -4*q + 6*y = y - 143, i*q - y = 110. What is the remainder when q is divided by 9?
1
Suppose 4*t + 49 - 17 = 0. Let z(j) = -j**3 - 7*j**2 + 9*j + 11. Let o be z(t). Suppose 57 - 42 = o*y. What is the remainder when y is divided by 2?
1
Let s be (385/(-3))/5 + 6/9. Let c be (1 + 8/(-6))/(s/375). Suppose c*y - 209 - 71 = 0. What is the remainder when y is divided by 26?
4
Let w(c) = -c**3 + 14*c**2 + 9*c + 35. What is the remainder when w(6) is divided by 82?
49
Suppose 0 = 2*j + 3*d - 167, -2*j + 14*d - 11*d + 185 = 0. What is the remainder when 543 is divided by j?
15
Suppose 12*i - 470 = 2*i. Suppose i = 4*a - 57. What is the remainder when a is divided by 14?
12
Let n = 9688 + -9659. Calculate the remainder when n is divided by 9.
2
Let d(z) = -487*z + 9350. Calculate the remainder when d(18) is divided by 205.
174
What is the remainder when 315 is divided by -18*3*(22/6 + 95/(-19))?
27
What is the remainder when (-4 - 1 - -123)/((-2)/(-2)) is divided by 71?
47
Suppose 234*x = 235*x + 4*f - 226, -2*x + 344 = -4*f. Suppose -3*h + 0*b = 2*b - 104, -2*b - 76 = -2*h. Calculate the remainder when x is divided by h.
10
Let u(c) = -30*c + 586. What is the remainder when 1287 is divided by u(9)?
23
Let p = 1540 + -530. Suppose -p = 