remainder when 91 is divided by 20/(-45) + (-2123)/(-99)?
7
Let y(d) = 14*d**2 + 4*d - 2. Let p be y(1). Let b(w) = -w**3 + 17*w**2 - 15*w + 2. Suppose -52 = -3*s + 104. Calculate the remainder when s is divided by b(p).
16
Let g be (25 + -1)*(-8)/(-24). Let w = g - 1. What is the remainder when w is divided by 4?
3
Suppose 3*q - 24 = -q. Suppose -3017*y = -3016*y - 19. What is the remainder when y is divided by q?
1
Let m = 3 + -1. Suppose -y = -m*y + 155. Suppose 2*c - y = -3*c. Calculate the remainder when c is divided by 16.
15
Let g(q) = -q - 1. Let c be g(-6). Let w = 0 + c. Calculate the remainder when (3168/48 - 38)*((-12)/(-14))/3 is divided by w.
3
Let x = -169 - -188. What is the remainder when 167 is divided by x?
15
Suppose -3*h - 6 = 3*h. What is the remainder when 2/(-8) + (-169)/(-4) is divided by 14 - 1*h/1?
12
Let s(c) = c**2 + c + 1. Let y = 24 + -23. What is the remainder when 7 is divided by s(y)?
1
Suppose -5*s - 4*o + 3*o - 273 = 0, -4*s = 2*o + 216. Let g = -51 - s. What is the remainder when 18 is divided by g?
2
Let c be (29 + 2)/(-1) + (-3)/(-1). What is the remainder when c/16*(-48)/(7 + -3) is divided by 12?
9
What is the remainder when (-2)/(-1) + 66 + -2 is divided by 34?
32
Let h = -54 - -35. Let x = h - -26. Calculate the remainder when 18 is divided by x.
4
Let p be -3 - -2 - -18 - -2. Let b = 49 - p. What is the remainder when 119 is divided by b?
29
Let p(n) = -n**2 + 18*n + 9. Let y be p(17). Let j = y - 13. What is the remainder when 21 is divided by j?
8
Suppose -2*g + 72 = 2*g. Suppose 5*y - 11 = 4*x, -3*y - 19 = 7*x - 3*x. Let p = g - y. Calculate the remainder when p is divided by 10.
9
Let o(g) = -g**2 + 6*g + 49. What is the remainder when 153 is divided by o(7)?
27
Suppose -3*k + 160 = 5*m, 0*k + 168 = 3*k - 3*m. Suppose -247 = -4*o + 5*v - k, -31 = -o - 3*v. Let c = 14 - 5. What is the remainder when o is divided by c?
7
Suppose -18*a + 20*a - 10 = 0. Suppose -a*l = -9*l + 20. Calculate the remainder when l is divided by (-3)/(-2)*(-8)/(-6).
1
Suppose -r = 5*o - 91, -3*r + 3*o + 308 = 35. Suppose -41 = -11*c + r. Calculate the remainder when 83 is divided by c.
11
Let y(i) = -i**3 - 4*i**2 + i + 8. Let d be y(-5). What is the remainder when 23 is divided by 2/(-4) + 406/d?
9
Suppose 3*o + 30 - 174 = 0. Calculate the remainder when o is divided by 18.
12
Suppose 5*q - 7*q = 0. Suppose q*a + 2*a = 10. Suppose 19 = a*d - 46. What is the remainder when 38 is divided by d?
12
Let r(k) = 2*k**2 + 12*k + 29. What is the remainder when 378 is divided by r(-5)?
17
Suppose -i = -5*o + 58, 26 = 2*o + o - 5*i. What is the remainder when 104 is divided by o?
8
Suppose -12*y + 1651 - 127 = 0. What is the remainder when y is divided by 58?
11
Let i(j) = j**3 - 19*j**2 + 2*j - 23. Calculate the remainder when 40 + (-8)/4*1 is divided by i(19).
8
Let w be 2 + 45 + -4 + 3. Let f = w + -44. What is the remainder when 7 is divided by f?
1
Suppose 112 = -9*w + 436. Let c(y) = -6*y**2 - 1. Let i be c(-1). Let g(h) = -14*h + 9. What is the remainder when g(i) is divided by w?
35
Let p = -111 - -79. What is the remainder when 36 - (p/(-2))/(-4) is divided by 11?
7
Suppose -3*v + 108 + 27 = 5*z, 0 = 3*z + 4*v - 92. Suppose -5*n + 423 = 4*n. What is the remainder when n is divided by z?
23
Let j(x) = -x**3 + 5*x**2 - 2*x - 1. Let a be j(3). Suppose 10*m = a*m - 10. Calculate the remainder when 28 is divided by m.
8
Suppose -4*b = 3*r - 187, -5*r + 4*b = -2*r - 203. Let c(g) = 5*g**2 - g. What is the remainder when r is divided by c(-2)?
21
Suppose -51 = -i - 3*t, -4*t + 0*t = -i + 51. Let z = -17 + i. What is the remainder when 134 is divided by z?
32
Suppose 5*p + 3*a - 60 = -2*a, 3*p - 4*a = 57. What is the remainder when 322/6 + 92/69 is divided by p?
10
Let q be 1/(-2)*(19 - 13). Let u(j) = -6*j + 2. What is the remainder when (-75)/q + 1 - 0/(-1) is divided by u(-2)?
12
Suppose -28*y + 425 = -11*y. Suppose 2*u = 7 + 23. Calculate the remainder when y is divided by (-6)/u - 74/(-10).
4
What is the remainder when 6*((-2)/(-7) - 1158/(-63)) is divided by 40?
32
Let z(l) = -29*l - 239. Calculate the remainder when 570 is divided by z(-9).
20
Calculate the remainder when 91 is divided by (-1108)/(-30) - (-208)/3120.
17
Let m = 45 - 26. Let x(k) = -k**2 - 7*k - 5. Let h be x(-8). Let t = h - -69. Calculate the remainder when t is divided by m.
18
Let g = -731 - -999. What is the remainder when g is divided by 145?
123
Suppose -15*o = -55*o + 18280. What is the remainder when o is divided by 20?
17
What is the remainder when ((-3)/(9/(-168)))/2 is divided by ((-6)/21)/(6/(-84))?
0
Let j(s) = 44*s - 112. What is the remainder when j(6) is divided by 22?
20
Let y(n) be the second derivative of -2*n**2 + 0*n**3 + n + 0 + 1/3*n**4. Calculate the remainder when y(3) is divided by 17.
15
Suppose 5*t - 4*i = 26, 0 = -5*t - 0*t + 5*i + 30. Let x(s) be the second derivative of s**4 - s**3/6 + s. What is the remainder when x(t) is divided by 12?
10
Suppose 0 = -5*s + 21 + 69. Suppose -5*r = 3*z + z - 69, -2*z = 8. Suppose 3*d + d - r = -5*m, -3 = m + 4*d. Calculate the remainder when s is divided by m.
3
Let g = 10 + -40. Let z be (-105)/10*10/15. Let m = z - g. What is the remainder when m is divided by 13?
10
Suppose 0 = 2*z - 6, 4*z - 72 = -6*a + 2*a. Suppose 0 = 7*g - a - 83. Calculate the remainder when g is divided by 3.
2
Suppose 2*y + 2 = 4, x + 4*y = 38. Let t(c) = c**3 - 2*c**2 + 5*c + 3. Calculate the remainder when x is divided by t(2).
8
Suppose 0 = -8*p + 23*p - 1395. Calculate the remainder when p is divided by 47.
46
Let q(t) = t**2 + 11*t - 21. Let z be q(-16). Suppose s - k = -0*k + 50, 0 = s - 4*k - z. What is the remainder when s is divided by 17?
13
Let m = 2 + 49. Calculate the remainder when m is divided by 26.
25
Suppose 0*l + 5*l - g = 135, 0 = 4*g. Calculate the remainder when 159 is divided by l.
24
Calculate the remainder when 276/(-9)*((-120)/16 + 6) is divided by 6.
4
Let f = 148 - 82. Let w(c) = 3*c**2 + c - 4. What is the remainder when f is divided by w(2)?
6
Let f(t) = 138*t - 9. Let c(p) = 92*p - 6. Let l(d) = 8*c(d) - 5*f(d). What is the remainder when l(1) is divided by 5?
3
Let j = 279 - 246. What is the remainder when 163 is divided by j?
31
Calculate the remainder when -2 - 1 - (-21 - 30) is divided by 7.
6
Let d(f) = 3*f + 26. Let t be d(-9). Calculate the remainder when ((-64)/12 + t)*(-1 - 5) is divided by 14.
10
Let o(l) = 6*l**2 - l**3 + 0*l**3 - 17 + 19. Let n be o(6). Suppose n*s - 135 = -s. What is the remainder when s is divided by 16?
13
Let x(l) = l**3 - 6*l**2 - 3*l + 39. Suppose 3*a - 27 = 2*k, 1 + 10 = -k + a. Let c = k + 12. Calculate the remainder when x(6) is divided by c.
3
Let g(p) = p**3 + 2*p**2 - p. Suppose c - 21 + 0 = 4*j, -5*c + 2*j = -15. Let i be g(c). Suppose 9 = f - i. What is the remainder when 21 is divided by f?
10
Let g(h) = 32*h**3 + 25*h**3 + 2*h - 56*h**3. Let p be 48/28 + 2/7. What is the remainder when 32 is divided by g(p)?
8
Let r(s) = -s**3 - 7*s**2 + 3*s + 5. Let y be r(-5). What is the remainder when 68 is divided by (-4 - y/(-8))*-2?
22
Suppose 8*t - 9*t = -8. Suppose -152 = -t*u + 472. What is the remainder when u is divided by 21?
15
Suppose -m = -z - 3, m - 3*z = -0*m - 7. Suppose 5*d + 42 = 112. Calculate the remainder when d is divided by m.
6
Let a(j) = j**2 + 10. Let k be (1 - ((-15)/(-6) + -2))*0. Calculate the remainder when 47 is divided by a(k).
7
Suppose 13*f - 9*f + 5*a = 1015, 0 = 2*f + a - 509. Calculate the remainder when f is divided by 29.
23
Let y(n) = -n + 1. Let b be y(-1). Suppose 15 = b*u - 27. What is the remainder when 145 is divided by u?
19
Suppose r - 1 = -z + 3, z = r + 4. Let a(j) = -17*j**3 - j**2 - 2*j - 1. Let x be a(-1). Let m = x + -2. What is the remainder when m is divided by z?
3
Suppose -4*h - 2978 + 3050 = 0. Calculate the remainder when 626 is divided by h.
14
Let a(s) = -s**2 - 16*s - 33. Calculate the remainder when 267 is divided by a(-9).
27
Let u(b) = -b**3 - b**2 + b + 1. Suppose 0 = -5*c - 4*n - 12, -26 = 5*c - n - 2*n. Calculate the remainder when 224 is divided by u(c).
44
Suppose 4*p = 2*f + 40, p - 11 = 4*f - 3*f. What is the remainder when 75 is divided by p?
3
Suppose x + 18 = -4*c, x + 0 - 2 = 