d by b.
1
Suppose -145 = 8*n - 3*n. Let o = n - -31. Suppose o*p - 42 = 16. What is the remainder when p is divided by 15?
14
Suppose -16 + 4 = a. Calculate the remainder when (220/3)/(-2)*a/8 is divided by (0 - -7)/((-2)/(-4)).
13
Let a(x) = -x**3 + 5*x**2 + 10*x - 9. Suppose 0 = y - 124 + 42. Suppose 3*p - 2*d = y, 6 = -3*d - 0. Calculate the remainder when p is divided by a(6).
11
Let i(w) = -w + 23. Let a be i(24). What is the remainder when -6*(70/3)/a is divided by 24?
20
Let i be (-26)/(-4) - (-1)/(-2). Let z(r) be the first derivative of r**2/2 + 7*r + 11. What is the remainder when 51 is divided by z(i)?
12
Let h be ((-8)/14)/(2/(-7)). Calculate the remainder when 13 is divided by (-1 - -2)*(h - -6).
5
Let m = -191 - -203. Let r be 0/((-6)/(-2) + -2). Suppose r*d + d = 45. Calculate the remainder when d is divided by m.
9
Suppose -310 = k - 3*k. Let p = -79 + k. Let x = p - 36. What is the remainder when x is divided by 14?
12
Suppose -7*d - 69 = -8*d - 4*j, -345 = -5*d + 3*j. Calculate the remainder when d is divided by 5.
4
Let w = 16 - 14. Let n be 45 - (-2)/2 - -2. Suppose -w*q + l = 2*l - 56, l = 2*q - n. Calculate the remainder when 101 is divided by q.
23
Let f(d) = 2*d**2 + 50*d - 19. Calculate the remainder when f(-32) is divided by 72.
69
Let j = 0 + 10. Let o = j - -2. What is the remainder when 57 is divided by o?
9
Let t(f) = -5*f - 6. Let k(s) = -14*s - 19. Let l(n) = 3*k(n) - 8*t(n). Calculate the remainder when 31 is divided by l(-8).
3
Suppose 11*d = -d + 36. What is the remainder when 110 is divided by d?
2
Suppose -4*j = -4*i + 572, i + 8*j = 7*j + 141. What is the remainder when i is divided by 52?
38
Let v = 23 + -32. Let x be 25 - 2 - v/3. Suppose -z = z - x. What is the remainder when z is divided by 5?
3
Let b(p) = -p + 19. Calculate the remainder when 59 is divided by b(5).
3
Let j(p) = p**3 - 2*p**2 - 8*p - 4. Suppose 5*x = 4*l + 42, -2*x + 0*x - 3*l = -3. Calculate the remainder when j(x) is divided by 31.
30
Let v = -24 + 14. Let d = v + 34. What is the remainder when d is divided by 13?
11
Suppose -15*k + 425 = -10*k. Suppose 5*a + 4*d + 71 = 493, -a - d + k = 0. What is the remainder when a is divided by 12?
10
Let f(j) = -7*j - 209. Calculate the remainder when f(-43) is divided by 20.
12
Let u = 351 - 304. Let s = -35 - -68. Suppose -5*p = -27 - s. Calculate the remainder when u is divided by p.
11
Let t(r) = 3*r**2 + 10*r + 32. Calculate the remainder when 131 is divided by t(0).
3
Suppose 4*j = 0, -m + 11 = -5*j - 28. Suppose 7*p = 3*p + 3*a - m, 3 = -p + 3*a. Calculate the remainder when -50*(-2 - p/8) is divided by 13.
12
Let j(x) = 73*x + 694. What is the remainder when j(0) is divided by 87?
85
Suppose -3*x + 293 = 2*b, -2*x + 2*b + 190 = 6*b. Let q(p) = p**3 - 25*p**2 - 23*p - 28. What is the remainder when x is divided by q(26)?
49
Let s be -290 - -2*(-4)/(-16)*2. Let n = -140 - s. What is the remainder when n is divided by 38?
35
Let g(z) be the second derivative of z**3/6 + 33*z**2/2 + 33*z. What is the remainder when g(-23) is divided by 4?
2
Let p(n) = n**2 + 3*n - 16. Let f be p(3). Suppose 6*c = 4*c + f. Calculate the remainder when 2 is divided by c.
0
Suppose 0 = -786*q + 789*q - 1554. What is the remainder when q is divided by 131?
125
Suppose -2*r + 112 = -v + 25, 0 = -v - 1. Let h = 44 - 26. Calculate the remainder when r is divided by ((-6)/(-2))/(6/h).
7
Let g(p) = p**2 + 7*p + 18. What is the remainder when 150 is divided by g(-3)?
0
Let s = 25 + -22. Suppose 0 = x - s*x - 4. What is the remainder when 24 is divided by (x/5)/((-6)/150)?
4
Let m(t) = -2*t + 13. Let n be m(5). Let d(q) = 2*q**3 - 3*q**2 - 5*q + 2. Calculate the remainder when (-115)/(-3) + 6/9 is divided by d(n).
11
Suppose 0 = -19*s + 1859 - 168. What is the remainder when s is divided by 46?
43
Suppose -6 = -3*u - 3*y, -5*u + 24 = -u - 4*y. Suppose -3*m = -3*g - 69, -u*g + 10 = m + 2. What is the remainder when m is divided by 3?
2
Let k = 25 + -5. Suppose -113 = 8*j - 33. Let u = k + j. Calculate the remainder when 39 is divided by u.
9
Suppose f + 2*f = h - 7, 8 = 3*h + 4*f. Suppose h*v - 79 = 3*v. What is the remainder when v is divided by 21?
16
What is the remainder when (1293/12 - 1)/(23/184) is divided by 123?
116
Suppose -1413 = -5*k - 4*o, -867 = -3*k + 3*o + o. What is the remainder when k is divided by 48?
45
Suppose 5*t + 0*t = 125. Calculate the remainder when 10*(-8)/16*(-264)/20 is divided by t.
16
Let r = 3 + 4. Let h(f) = 4*f - 2. Let t(n) = -9*n + 5. Let s(j) = 7*h(j) + 3*t(j). What is the remainder when 37 is divided by s(r)?
5
Let c(b) = 14*b**2 - 22. Let w be c(-9). What is the remainder when (-18)/90 - w/(-10) is divided by 19?
16
Suppose -146 = -5*n + 2*j + 2*j, -26 = -n + 4*j. Let l = 610 - 553. What is the remainder when l is divided by n?
27
Let u = 20 + -12. Suppose -24*r - 62 = -28*r - 2*o, -4*o = -5*r + 71. Calculate the remainder when r is divided by u.
7
Suppose 0 = 15*u - 1802 - 133. Calculate the remainder when u is divided by 22.
19
Calculate the remainder when (-24)/48*(-1 - 1841) is divided by 44.
41
Let k be ((-4)/(-3))/(8/(-228)). Suppose -10*s - 189 = -7*s. Let m = k - s. Calculate the remainder when m is divided by 13.
12
Let r = 18 + -27. Let s be (-9)/(-3)*3/r. Calculate the remainder when 35 is divided by s + (-3 - -5) + 8.
8
Suppose 3*l - 13 = -2*v, -2*l + 7 = -3*v + 20. Suppose 0 = a - l. Let g = -52 - -55. Calculate the remainder when g is divided by a.
0
Suppose -29*p + 104 = -157. Calculate the remainder when 21 is divided by p.
3
Suppose 16*h + 4*m = 20*h - 1312, -3*h + 964 = m. What is the remainder when h is divided by 13?
11
Suppose -3*m + 70 = 5*a - 121, 4*a - 16 = 0. Calculate the remainder when 277 is divided by m.
49
Suppose -3 = -c + 4*i + 12, 3*c + i = 6. Suppose 4*p - 100 = o, 2*p - 2*o = c*p - 34. Calculate the remainder when 127 is divided by p.
23
Let p = -7 + 11. Let m(y) be the first derivative of y**2/2 + 3*y - 81. What is the remainder when 19 is divided by m(p)?
5
Let p = 32 + -69. Let c = p + 68. Calculate the remainder when 214 is divided by c.
28
Calculate the remainder when (-4)/(-6)*582*(-10)/(-40) is divided by 25.
22
Let y(b) = -b**3 + 8*b**2 - 6*b - 5. Let a be y(7). Suppose a*q + v - 6*v = 29, 0 = -q - 3*v - 2. What is the remainder when 24 is divided by q?
3
Let g be 9*((-1)/(-3) - (6 - 5)). Suppose -3*h = 4*v - 36, v = 4*h - 3*h + 2. Calculate the remainder when (g - -14) + (5 - 2) is divided by v.
5
Suppose 11*f = -3*f + 1190. Let c = f + -71. Calculate the remainder when 55 is divided by c.
13
Suppose 4*j - 5 = 7. Suppose -i - 6 = -20. Calculate the remainder when i is divided by j.
2
Suppose 9*d - 73 + 784 = 0. Suppose 4*p = -4*g - p - 506, 5*p = 2*g + 268. Let h = d - g. Calculate the remainder when h is divided by 13.
11
Let i = 27 + -13. Let y = 25 - i. Suppose -4*h = -73 - 55. Calculate the remainder when h is divided by y.
10
Suppose -140*j + 136*j + 104 = 0. What is the remainder when 37 is divided by j?
11
Let a(r) = -2*r**3 + 17*r**2 - 2*r + 3. What is the remainder when 140 is divided by a(8)?
38
Suppose 4*a - 139 = -7. Suppose -3*j + h = 4 + 85, a = -j + h. Calculate the remainder when 37 is divided by (20/(-7))/(8/j).
7
Suppose -2*y + 4 = 2*y. Let a be -5 - -2 - (-4 - y). What is the remainder when 37 is divided by ((-3)/9)/(a/(-114))?
18
Suppose -2*y = -0*y - 42. What is the remainder when y is divided by ((-161)/(-46))/(18/8 + -2)?
7
Let c(k) = k**2 - 4*k - 3. Suppose -2*b + 24 = b. Suppose b*x - 14 = 6*x. What is the remainder when x is divided by c(5)?
1
Let g = 290 - 189. What is the remainder when g is divided by 30?
11
Suppose -a - 3*w = -49 - 110, 827 = 5*a - w. Calculate the remainder when a is divided by 19.
13
Let x(b) = -2*b**3 - 90*b**2 - b - 5. Calculate the remainder when 73 is divided by x(-45).
33
Let a(c) = c**2 - 9*c + 16. Calculate the remainder when 91 is divided by a(11).
15
Let x = 106 + -63. Let b = -1112 + 1124. What is the remainder when x is divided by b?
7
Let v(l) = l**2 + 9*l - 1. Let r be v(-9). Let z(n) be the second derivative of -n**3 - n**2/2 + 21*n. What is the remainder when 12 is divided by z(r)?
2
Calculate the remainder when 90 is divided by 117/(-15) + 4/5 + 38.
28
Let w be 8/(2 