emainder when 9 is divided by y.
1
Suppose -3*p - 2*t + 654 = -378, 4*p = 5*t + 1399. What is the remainder when p is divided by 44?
38
Let r be 4/10 - 7/5. Let y be (r - -4)/(5/15). Let w = y + 10. What is the remainder when 56 is divided by w?
18
Let s = -8 + 8. Suppose s = i - 8 - 40. Calculate the remainder when i is divided by 17.
14
Let y(v) = -v + 1. Let k be y(-1). Suppose -k*z - 2*z = -100. Calculate the remainder when (15 - (5 - 2))*4*2 is divided by z.
21
Let c = -61 - -43. What is the remainder when 39 is divided by c/3*7/(-2)?
18
Let o(v) = -5*v - 23. Let p be o(-5). Suppose -p*c - 490 = -5*u, 5*u - c = -0*c + 485. Calculate the remainder when u is divided by 34.
28
Let h(w) = 9*w - 109. Calculate the remainder when h(15) is divided by 22.
4
Suppose 0 = b - 2*b + 625. Let x be ((-6)/15)/((-5)/b). Calculate the remainder when 72 is divided by (-3)/6*-1*x.
22
Let r = -1 - -7. Let l(d) = 2*d**3 + 10*d**2 - 29*d - 3. What is the remainder when r is divided by l(-7)?
2
Let k = -1 + -41. Let v be 60/27 + (-4)/18. What is the remainder when 25 is divided by k/(-3) - (v + -2)?
11
Let t(b) = b**3 - 12*b**2 + 10*b + 13. Let g be t(11). Suppose g*f - 640 = -2*f. Let h = 224 - f. What is the remainder when h is divided by 22?
20
Suppose -d = 2 - 16. Suppose -5*u + 20 = -q - d, 0 = 4*u + 3*q - 12. Let r(k) = -k**3 + 6*k**2 + 2*k + 7. Calculate the remainder when r(u) is divided by 5.
4
Let g be 4/(-30) + (-488)/(-60). Let f = g + -3. Suppose -43 = f*d - 153. Calculate the remainder when d is divided by 6.
4
Let v = -1148 - -1223. What is the remainder when 177 is divided by v?
27
Suppose 0 = -4*o + 4*w + 184, -o + 46 = -2*w - 4. Calculate the remainder when 166 is divided by o.
40
Let r = -17 - -20. Let k(o) = -o + 3. Let b be k(3). Suppose b = v - 5. Calculate the remainder when v is divided by r.
2
Let a(d) = 2*d + 5. Let s be a(-4). Let t(b) = 2*b**2 + 1. What is the remainder when 74 is divided by t(s)?
17
Let d(y) = 4*y + 3. Let z(q) = -3*q - 13. Let b be z(-5). Calculate the remainder when 19 is divided by d(b).
8
Let u be (2 - 0 - -9) + 1. Suppose -3*l = -79 + 1. Let c = l - u. Calculate the remainder when 24 is divided by c.
10
Suppose 0 = -2*p - 20 + 74. Let a(b) = -15*b - 27. Let r be a(-8). Let i = 103 - r. Calculate the remainder when p is divided by i.
7
Let s be -1*(-1)/2*0. Suppose s = -2*j + 10. Suppose 5*p + 0*v = -j*v + 95, 57 = 3*p - v. Calculate the remainder when 55 is divided by p.
17
Suppose 37*f - 12 = -4*x + 32*f, 3*f = -x + 3. What is the remainder when 508 is divided by x?
1
Let s = -496 + 570. Calculate the remainder when 292 is divided by s.
70
Calculate the remainder when (447 - 9) + 9 - 4 is divided by 12.
11
Let x(g) = 32*g - 6. Calculate the remainder when x(1) is divided by 17.
9
Suppose -6*l + 209 = 4*j - l, -2*l - 174 = -4*j. Suppose 17 = k - d, 5*d = -7 + 2. Calculate the remainder when j is divided by k.
14
Suppose j - 4*y = 141, -4*j - y + 615 = -0*j. Let x(v) = v**2 - 67*v + 764. What is the remainder when j is divided by x(53)?
21
Let p(v) = -4*v**2 + 38*v + 9. What is the remainder when p(8) is divided by 30?
27
Let m(s) = 107*s**2 - 634*s. What is the remainder when 251 is divided by m(6)?
11
Let t = 1269 - 1246. Let m(l) = -7*l. Calculate the remainder when t is divided by m(-1).
2
Suppose 4*v - 1162 = 246. What is the remainder when v is divided by 24?
16
Let r be (-4 + (7 - 7))*(-1)/2. Suppose -2*s - 5*o + r*o + 157 = 0, -3*o = -s + 56. What is the remainder when s is divided by 19?
14
Let k = 157 - 143. What is the remainder when 42 is divided by k?
0
Let b = 55 + -90. Let y be 10/b - 69/(-21). Suppose -33 = -r + y*z, -2*r + 58 = -5*z + z. What is the remainder when 40 is divided by r?
19
Let u(b) = 38*b**2 + 13*b + 1. What is the remainder when u(-1) is divided by 20?
6
Let w(f) = -44*f - 169. Calculate the remainder when w(-5) is divided by 36.
15
Let p(x) = -x + 38. Let w be -4*(-5)/6 + 4/6. Suppose 2*a + 36 = 5*a. Calculate the remainder when p(w) is divided by a.
10
Suppose -53*f + 4264 = -1354. Calculate the remainder when f is divided by 37.
32
Let a = 573 - 555. Calculate the remainder when 105 is divided by a.
15
Let j = 295 - 274. Calculate the remainder when 64 is divided by j.
1
Let r(n) = n**2 + 2*n - 3. Let f be r(2). Suppose -f*t + 148 = -22. What is the remainder when 134 is divided by t?
32
Suppose -5*j - 85 = -340. Calculate the remainder when 103 is divided by j.
1
Suppose 6 = 2*j + 5*p + 23, 3*p + 31 = 4*j. Suppose -2*s + 16 = j. What is the remainder when 16 is divided by s?
4
Suppose 6 = 3*a - 9. Suppose 0 = -a*f - 2*g + 28, 5*f + 2 = g + 18. Calculate the remainder when (-18)/(-63) - (-89)/7 is divided by f.
1
Calculate the remainder when 3 - (-149*(-3 + 5))/2 is divided by 52.
48
Suppose 2*b - 57 - 1 = 0. Suppose -13*j + 538 - 138 = 7*j. What is the remainder when b is divided by j?
9
Let y(z) = -28*z + 12. What is the remainder when 34 is divided by y(0)?
10
Suppose 8*p - 6*p - 35 = -3*s, 4*s - 25 = -p. What is the remainder when 68 is divided by p?
3
Suppose -s + 22 = 9. Let l = s + 32. Suppose -2*j - 3*j = -l. Calculate the remainder when j is divided by 5.
4
Suppose -384 = -15*r + 1491. What is the remainder when r is divided by 27?
17
Suppose 149 = 4*n - n - 2*i, 4*n - 5*i - 187 = 0. Calculate the remainder when 195 is divided by n.
36
Suppose 2*t - 10 = 4*t. What is the remainder when -22*(-3 + t/(-2)) is divided by 6?
5
Let t(n) = n + 7. Let u be t(-5). What is the remainder when u/(-1 - (-96)/93) is divided by ((-166)/10)/(-1) - (-144)/(-240)?
14
Suppose 0*p + 4*p - j - 73 = 0, -5*j - 4 = -p. Let l = p + -16. Suppose 0 = 6*v - l*v - 63. Calculate the remainder when v is divided by 8.
5
Suppose -355 = -5*m + 150. What is the remainder when m is divided by 22?
13
Let t be -1 + (5 - 2) - -2. Let n = -10 + 14. Suppose 193 = t*l + 3*k - n*k, -58 = -l - 3*k. What is the remainder when l is divided by 17?
15
Suppose -3*b + 9 = -2*b. Let x(p) = -p**3 + 9*p**2 + 3*p - 11. Calculate the remainder when 78 is divided by x(b).
14
Let m(u) = -25*u + 1. Let q(f) = 74*f - 4. Let v(g) = -17*m(g) - 6*q(g). Let k be v(-8). Suppose 5*i - k = 16. What is the remainder when 102 is divided by i?
32
Suppose 14*v - 441 = 7*v. Let o(b) = -3*b - 3. Let i be o(-2). Calculate the remainder when v is divided by (i/(-1))/((-6)/44).
19
Suppose -a + 6*a = 75. Let c = -10 + a. Calculate the remainder when 13 is divided by c.
3
Let k be (1/(-2))/((-5)/160). Suppose 4*n - k = -4. Suppose -n*j = -v - v + 20, 2*j - 30 = -3*v. What is the remainder when v is divided by 6?
4
Let w(v) be the second derivative of -1/12*v**4 - 2*v**2 - v**3 + 0 - 4*v. Calculate the remainder when 15 is divided by w(-4).
3
Let d(i) = i**3 - 7*i**2 + 7*i - 4. Let o be d(6). Suppose -5*t = -0*c - c - 221, -o*c + 98 = 2*t. What is the remainder when t is divided by 12?
9
Suppose 3*i = 6*i. What is the remainder when 37 is divided by i/(-4) - (0 - 20)?
17
Let g(r) = -8*r. Let a be g(-3). Let t = a + -5. Suppose -5*f - s + 24 = 0, -2*f = f - 4*s - t. What is the remainder when f is divided by 3?
2
Let r(c) be the first derivative of -3*c**2 + 3*c - 3. Suppose -2*f = -6*f - 2*i + 58, -3*i - 3 = 0. Calculate the remainder when r(-4) is divided by f.
12
Let j be (-1)/3 - (-9)/27. Suppose -2*s = 2*c - j*c + 598, -3*c + 3*s - 921 = 0. Let m = c - -433. Calculate the remainder when m is divided by 33.
31
Let a(n) = -n**2 + 5*n + 6. Suppose -2*p = -7 - 1. Suppose 2*j + 2 = 3*z + 1, 4 = -p*z + 4*j. Calculate the remainder when a(z) is divided by 5.
2
Calculate the remainder when 214 is divided by (-1)/((15/(-80))/(6 + 3)).
22
Suppose -7*j + 8 = -62. Suppose -2*a + 38 = j. Calculate the remainder when 53 is divided by a.
11
Let w = 43 + -41. Suppose -w*q - 4*v + 55 = 1, 48 = 2*q - 2*v. Calculate the remainder when q is divided by 13.
12
Let t(o) = 3*o**2 - 1 + o**2 - 3*o**2. Let h = 32 - -26. Calculate the remainder when h is divided by t(4).
13
Let d(r) = 5*r**2 - 5*r + 10. Let w(a) = -a**3 + 5*a**2 - a - 2. Let u be w(3). Let b be d(u). What is the remainder when 17 is divided by 4/(-22) + b/110?
3
Suppose u - 13*p = -12*p + 15, 0 = 4*p - 8. Calculate the remainder when 65 is divided by u.
14
Suppose 20*a - 2333 - 6027 = 0. Calculat