remainder when (90 - -2) + 12/(-8 + 2) is divided by 19.
14
Suppose -107 = -4*h - 3*l - 3, 70 = 2*h - 3*l. Let i be (6 - 7)/(1/(-17)). Let b = i + -1. What is the remainder when h is divided by b?
13
Calculate the remainder when ((72/(-5))/6)/(4/(-190)) is divided by 13.
10
Suppose 6*f - 4 = 56. Suppose -3 = f*u - 353. Calculate the remainder when u is divided by 15.
5
Let q(p) = -p**3 - 4*p**2 + 4*p - 2. Let v be q(2). Let z = v - -16. Let x = z - -5. What is the remainder when 11 is divided by x?
2
Suppose -24*r + 38 + 58 = 0. Calculate the remainder when r is divided by ((-6)/(-1))/(-1 + 3).
1
Calculate the remainder when 642 + (-5 - -15) + -7 is divided by 72.
69
Let o(c) = 13*c - 24. What is the remainder when o(5) is divided by 22?
19
Let v(x) = 9*x**2 - 6*x - 4. Suppose 2 = 7*c + 9. Let u(s) = s + 1. What is the remainder when v(c) is divided by u(2)?
2
Let t = -157 + 286. What is the remainder when t is divided by 39?
12
Suppose -3*s = s. Suppose s + 39 = 3*b. Suppose 199 - 223 = -2*u - 4*z, 4 = 2*z. What is the remainder when b is divided by u?
5
Suppose 141*z - 91 = 134*z. Calculate the remainder when z is divided by 74/14 - 2/7.
3
Suppose 39*m = 654 + 87. What is the remainder when 51 is divided by m?
13
Let p(s) = -17*s + 1. Let m be p(2). Let o be ((-2)/(-1))/(3/m). Let b = o - -31. Calculate the remainder when b is divided by 5.
4
Let n be 50/(-30) + (-896)/6. Let w = n + 161. Calculate the remainder when 79 is divided by w.
9
Suppose 3*w - 148 = -22. Let p(x) = -2*x**3 + 52*x**2 + 5*x + 44. Let l be p(26). Suppose -2*i = -l + w. What is the remainder when i is divided by 17?
15
Let c(n) = 2*n - 4. Let q(u) = u**3 + 19*u**2 - 20*u + 10. What is the remainder when q(-20) is divided by c(4)?
2
Suppose 5*i + 24 = 3*o + 2*i, -2*o - 3*i = -26. What is the remainder when 50 - (5 + (3 - (5 - -1))) is divided by o?
8
Suppose -14*x + 2 = -194. Calculate the remainder when 220 is divided by x.
10
Let j(h) = -2*h - 5. Let w be j(-5). Let o(k) = k - 3. Let n be o(w). Calculate the remainder when 3 is divided by (-5)/(-6) + n/12.
0
Suppose 3*x - 244 - 14 = 0. Let w(z) = -19*z - 3. Let u be w(-4). Suppose x = 2*y - 2*q, 0 = -3*y + q + u + 58. Calculate the remainder when y is divided by 9.
8
Suppose z - 4*c + 9 = 2*z, 2*z = 4*c - 6. Let q(t) = 4*t**3 - 2*t - 1. Let p be q(2). Calculate the remainder when z + (p - 3/(-3)) is divided by 16.
13
What is the remainder when (-2 - 40/(-6))*24 is divided by 46?
20
Suppose 10*o - 60 - 40 = 0. What is the remainder when 62 is divided by o?
2
Let m = 16 + -16. Suppose m*n = -3*n + 102. Calculate the remainder when 100 is divided by n.
32
Suppose 2*q - 82 = -5*t - 2*q, 0 = 5*t - 4*q - 58. Let g = 26 - t. Calculate the remainder when 58 is divided by g.
10
Suppose 2*h = 98 + 16. What is the remainder when h is divided by 5/((-35)/161)*-1 + -3?
17
Let q be ((-9)/(-6))/(3/6). Let o = 7 - 5. Suppose 3*g = -g + q*a + 52, -2*g = -o*a - 28. Calculate the remainder when 28 is divided by g.
8
Let v(m) = 13*m - 8. Let w be v(-3). Let s = -35 - w. What is the remainder when 34 is divided by s?
10
Let d(l) be the first derivative of 4*l**3/3 + 3*l**2/2 - 3*l + 2. Suppose 2*p = 32 - 38. Calculate the remainder when 70 is divided by d(p).
22
Let c(b) = -b**2 + 23*b + 20. Let f be c(17). Let j = f + -44. What is the remainder when j is divided by 21?
15
Let k = -40 - -12. Let a be (-132)/k + 4/14. Suppose -3*t = -4*i - 257 - 58, -a*i = -2*t + 210. Calculate the remainder when t is divided by 27.
24
Let m be -2 + 0 + 4*(-2)/(-4). Suppose -2*g = -m - 4. Calculate the remainder when -10*(2 - (-5)/(-2)) is divided by g.
1
Let d = 121 + -70. What is the remainder when d is divided by 19?
13
Suppose 7*k + 474 = 705. Let y(h) = 61*h**2 + h + 1. Let q be y(-1). Suppose q = 5*i + 16. What is the remainder when k is divided by i?
6
Let r = 1659 - 1633. Let s(t) = t**3 - 6*t**2 - 6*t + 8. Calculate the remainder when r is divided by s(7).
11
Suppose 7*a - 349 = 64. Calculate the remainder when a is divided by 12.
11
Suppose 11*p - 33 + 0 = 0. Let h = 19 - p. Calculate the remainder when 30 is divided by h.
14
Suppose -5*v + 29 = 3*y, -79*y + 74*y = -4*v - 36. Let o(t) = -t**2 + 6*t - 2. Calculate the remainder when y is divided by o(5).
2
What is the remainder when 186 is divided by (-8 - -14)*(-85)/(-10)?
33
Let g(a) = -8*a - 118. What is the remainder when 66 is divided by g(-19)?
32
Suppose q - 3*p - 27 = 0, 14*q + 5*p - 43 = 13*q. Calculate the remainder when 107 is divided by q.
8
Let d be (-2)/9 + (-100)/(-45). Let a(k) = 16*k - 4. Calculate the remainder when a(d) is divided by 10.
8
Suppose 139 + 29 = 7*u. Suppose h = u + 10. What is the remainder when h is divided by 9?
7
Let h(d) = d**3 - 4*d + 2. Let u be h(2). Suppose u*a - a = 0, -5*n = 2*a - 45. Calculate the remainder when n is divided by 5.
4
Let w(j) = -j**2 + 8*j + 8. What is the remainder when 70 is divided by w(4)?
22
Let w(h) = -h**3 - 13*h**2 + 9. Let v be w(-13). Suppose v = 2*y + 3. Calculate the remainder when 23 is divided by 80/16 + y/1.
7
Let y be 1*0/(0 - -1). Let u(k) = k**2 + 24. Suppose -5*g + 375 = -0*v + 5*v, -v = 3*g - 215. What is the remainder when g is divided by u(y)?
22
Let h(d) = 5 + d**3 + 35*d**2 - 7*d - 32*d**2 + 0*d. What is the remainder when 480/5*(-2)/(-4) is divided by h(-4)?
14
Suppose -194 = 4*o - 470. What is the remainder when 757 is divided by o?
67
Let s(f) = f**2 + 17*f - 19. Let i be s(-15). Let h = 25 + i. Calculate the remainder when 65 is divided by 1 + -1 + -2 - h.
21
Suppose 9*k + 336 = k. Let z = k - -66. What is the remainder when 141 is divided by z?
21
Let q = -23 + 47. Let b = -105 - -80. Calculate the remainder when (-10)/b*1*115 is divided by q.
22
Suppose -x + 6 = x. Suppose -c - x*y + 59 = 0, -y - y + 6 = 0. What is the remainder when c is divided by 14?
8
Suppose -33*k + 32 = -31*k. Calculate the remainder when 6 is divided by (-4)/k + (-27)/(-12).
0
Let l(z) = 90*z**2. Let a be l(1). Suppose -34 = 8*r - a. Calculate the remainder when 22 is divided by r.
1
Suppose -351 = -12*d - 303. Calculate the remainder when (4/3)/(3/36) is divided by d.
0
Let l be (4/(-5))/(1/(-5)). Suppose 5*g = -2*z - 135, -95 = -0*g + 3*g + l*z. Let w = 5 - g. What is the remainder when w is divided by 8?
6
Suppose 37 = 3*n + 5*k, -12 - 14 = -2*n - 4*k. Calculate the remainder when 114 is divided by n.
6
What is the remainder when 209 is divided by 0 - (-5 + (-96)/2)?
50
Suppose -11 + 56 = 5*h. What is the remainder when 184 is divided by h?
4
Let l be 2/5 + (-54)/(-15). Suppose 5*z - 15 = h, -2*z + l*h - 6*h = 6. Let f(y) = 5*y**2 + 2*y - 2. Calculate the remainder when 43 is divided by f(z).
21
Suppose -3*h + 12 = -h + 3*r, 6 = h + 3*r. Let f be (-753)/2 - (-3)/h. What is the remainder when 6/(-2)*f/24 is divided by 12?
11
Suppose -4*r = 0, 2*r - 3 - 189 = -4*i. Calculate the remainder when 94 is divided by i.
46
Let s = 15 + -9. Let i = 14960 + -14897. What is the remainder when i is divided by s?
3
Let a = 337 + -207. Let v = 37 + -26. Calculate the remainder when a is divided by v.
9
Suppose -633 = -5*f - 83. Let x = 162 - f. Suppose x = 4*i - 3*i. Calculate the remainder when i is divided by 18.
16
Suppose -21 = -4*x + 15. Let j(p) = -p**3 + 8*p**2 + 9*p + 9. Suppose 3*u - 5*t - 92 = 0, 3*u - t = 6*u - 104. What is the remainder when u is divided by j(x)?
7
Let c be 138/(-42) - 2/(-7). Let y = c + -2. What is the remainder when 70 is divided by y*(-5 - -1) - 2?
16
Let h(n) = 4*n**2 + 5*n + 2. Let u be h(-5). Let a = u + -9. Suppose 14 = -3*s + 3*o + a, -96 = -5*s - o. Calculate the remainder when 37 is divided by s.
18
Suppose 243 + 66 = v. Suppose -2*x + v = x. Suppose q - 50 = -2*w, -w + 62 = w - 5*q. What is the remainder when x is divided by w?
25
Calculate the remainder when 178 is divided by 256/4 + (-5)/(25/15).
56
Suppose 19*d - 148 - 175 = 0. Let g(a) be the second derivative of 49*a**3/6 + a. What is the remainder when g(1) is divided by d?
15
Suppose 0 = 13*w + 39, 7*w - 6649 = -5*g + 10*w. Calculate the remainder when g is divided by 11.
8
Suppose 5*b = b + 96. Calculate the remainder when 35 is divided by (-13)/(26/b)*-1.
11
What is the remainder when 96 is divided by 2*(-3 + 6/((-24)/(-38)))?
5
Suppose -153*v 