4). Calculate the remainder when 1 + t - q - -34 is divided by 7.
6
Let b(l) = -8*l + 681. Calculate the remainder when b(53) is divided by 59.
21
Let y(q) = 5*q**2 - 3*q. Let m(f) = 3*f - 16. Let b be m(-3). Let l = b + 28. What is the remainder when y(l) is divided by 13?
10
Let l = 3297 - 3262. Calculate the remainder when 453 is divided by l.
33
Suppose 714*v - 717*v + 1797 = 0. What is the remainder when v is divided by 9?
5
What is the remainder when 712 is divided by (3/(-4) - -1) + (-534)/(-8)?
42
Let v(j) = 3*j**2 - 8*j - 3. Let b be v(3). Let p(r) = 0*r**3 + 0*r**3 - r**2 - 2*r + 18 - r**3. What is the remainder when 70 is divided by p(b)?
16
Let i = -5708 - -5721. What is the remainder when 59 is divided by i?
7
Suppose 15884 = -308*c + 384*c. Calculate the remainder when c is divided by 18.
11
Let y(l) = -7*l**2 + l. Let f be y(1). Suppose -145*b = 693 - 1998. Calculate the remainder when f/(-18) - (-98)/3 is divided by b.
6
Suppose 43 - 15103 = -12*g. Calculate the remainder when g is divided by 63.
58
What is the remainder when 483 is divided by ((-8704)/(-640))/((-3)/(180/(-8)))?
75
Suppose 0 = 5*r - 4*d - 53, 3 = 2*d + 7. Suppose r*z = 7*z + 16. What is the remainder when 47 is divided by z?
7
Let u(c) = -c**3 - 36*c**2 - 75*c + 238. Calculate the remainder when u(-34) is divided by 98.
84
Suppose 0 = 2*d - 4, 2*d - 120 = -3*t - t. What is the remainder when 69 is divided by t?
11
Suppose 5*b - x = 1274, 100 - 869 = -3*b - 4*x. What is the remainder when b is divided by 117?
21
Let h = -2113 - -2142. Calculate the remainder when 388 is divided by h.
11
Let g = 170 - 210. Let y = g - -82. What is the remainder when 80 is divided by y?
38
Let b(j) = j**2 + 3*j - 2. Let p(c) = -c**2 + 22*c + 43. Let d be p(24). What is the remainder when b(-6) is divided by (3 - d) + -7 + 9?
6
Let l = 11103 - 10996. Calculate the remainder when 350 is divided by l.
29
Calculate the remainder when 1117 is divided by (-6 - 104/(-18))/(2/15)*-105.
67
Suppose -4*j - h = 6 - 52, 0 = -2*h + 4. Calculate the remainder when 6905 is divided by j.
8
Suppose 4*y = -3*a + 38, 0 = 4*y - 0*y + 4*a - 36. Let x = 9 - 7. What is the remainder when y is divided by x/(-1) - (-2 + 20)/(-2)?
4
Suppose -33*x - 45543 = 18*x. Let w = x + 918. What is the remainder when 147 is divided by w?
22
Calculate the remainder when ((-471)/4)/((-675)/200 + 3) is divided by 22.
6
Calculate the remainder when (-1 - 4)*(-1167)/15 is divided by 99.
92
Let x(n) = -n**2 + 5*n + 49. Let h be x(-5). Let r = 18 + h. Calculate the remainder when 1416/16*16/6 is divided by r.
15
Let i = 760 - 1122. Let m = 378 + i. What is the remainder when 71 is divided by m?
7
Let f(k) be the third derivative of -k**5/60 + 7*k**4/6 - 10*k**3/3 - 53*k**2. What is the remainder when f(22) is divided by 39?
34
Suppose 5*r = 16 + 9. Suppose 2*y - 87 = -4*x - y, r*y + 100 = 5*x. Let o = -52 + 58. Calculate the remainder when x is divided by o.
3
What is the remainder when 363 is divided by -5*144/(-45)*(0 - -7)?
27
Calculate the remainder when 138 is divided by (-25)/200 - (-2931)/24.
16
Let g(p) = p**3 - 2*p**2 - 5*p - 24. Let i be g(7). Suppose 277*f + i = 280*f. Calculate the remainder when f is divided by 6.
2
Let w = 254 - 263. What is the remainder when 92 is divided by (24 - -2) + (-6)/w*-9?
12
Suppose -a - 4*a = 4*o + 16, -a = -5*o + 9. Let r = 75 + 3. What is the remainder when r is divided by 60/(-12) - o*-25?
18
Let p(m) = 2*m**2 + 6*m. Suppose 5*o - 9 = 2*o, j = -2*o + 26. Suppose -24*n = -j*n - 164. What is the remainder when p(-8) is divided by n?
39
What is the remainder when 94 is divided by (-11)/77*7/6 - 602/(-12)?
44
Let u = 10776 + -10275. What is the remainder when u is divided by 126?
123
Suppose 46 = 3*n + 4. What is the remainder when 16 is divided by n?
2
Let t = 323 + 357. What is the remainder when t is divided by (2 - -4) + ((-30)/5 - -62)?
60
Let t(s) = 90*s**2 - 148*s + 149. What is the remainder when 261 is divided by t(1)?
79
Let k(w) = w**3 - 13*w**2 + 13*w + 15. Let f be k(11). What is the remainder when 39 is divided by (4/6 - 0)/((-8)/f)?
4
Suppose 3*q - 5*s = 312, 2*q = 3*s - 34 + 240. What is the remainder when q is divided by (-1)/(-4)*(40 - 8)?
6
Suppose 5*i - 16 = -2*r, -r = -i + 2*r + 10. Suppose i = -116*s + 114*s. What is the remainder when ((-3146)/(-65))/(s/(-5)) is divided by 41?
39
Let r(b) = -3*b**2 + b - 2. Let d be r(3). Let y = d - -43. Let u = 70 + -21. Calculate the remainder when u is divided by y.
15
Let l be 5/(((-4)/32)/((-1)/8)). Suppose 4*h + 138 = 3*d, 213 = l*d - h - 0*h. Calculate the remainder when 73 is divided by d.
31
Suppose -4*x = -15*x + 330. What is the remainder when ((-240)/x)/(1/(-5)) is divided by 23?
17
Suppose -50*m = -44*m - 36. Suppose 0 = -m*y + 8 - 2. Let x(q) = 38*q**2 - 2*q + 1. Calculate the remainder when 220 is divided by x(y).
35
Suppose 2*c - 165 = -3*c. Calculate the remainder when (-270)/36*(-2290)/75 is divided by c.
31
Let r(b) = 11*b - 110. Let q(i) = 34*i - 328. Let v(k) = 2*q(k) - 7*r(k). What is the remainder when v(10) is divided by 2/(-8)*-2*26?
11
Suppose 3*d - 92 = -80. Suppose -477 = -6*o + 3*o. What is the remainder when o is divided by 12/d*46/6?
21
Suppose 3*m + 3*a - 84 = -6, 0 = a - 5. Suppose -11*y + 26 = -95. Calculate the remainder when m is divided by y.
10
Suppose 2 = u + 1. Let r be (-2 + (-7)/(-2))*(83 - u). Let i = -41 + r. What is the remainder when i is divided by 17?
14
Let z be (-18)/(-3) - (3 + -3). Suppose z*s - 82 = 146. What is the remainder when 111 is divided by s?
35
Let k be (-6)/(-21) + (-61)/(-7). Suppose -4*w - 150 = -5*y, -y + w + k = -4*w. Suppose -17*n = -45 - 261. Calculate the remainder when y is divided by n.
16
Let m be (-1 + 5)/((-32)/(-24)). Suppose 2*v - 3 = -m*s, 0*v = 4*v - 5*s - 39. Calculate the remainder when 8 is divided by v.
2
Let s be (36/(-54))/((-2)/360). Suppose -11*x + 5*x = -s. Suppose 0 = -26*c + x*c + 522. What is the remainder when c is divided by 31?
25
Let f(n) = n**3 - 9*n**2 + 21*n - 53. Let g be f(7). What is the remainder when g + 7868/63 + 1/9 is divided by 36?
13
Suppose 10624*p = 10650*p - 988. Let h = 33 + -20. Calculate the remainder when p is divided by h.
12
Calculate the remainder when 27 is divided by (-255)/25*(-115)/69.
10
Let d(p) = 56*p + 3. Let f = 52 - 50. Let z be d(f). Calculate the remainder when (2*z/(-10))/(-1) is divided by 14.
9
Let v(w) = 499*w + 3519. Calculate the remainder when 221 is divided by v(-7).
13
Let v(w) = 21*w**2 - w + 5 - 6 + w**3 - 8. Let z be v(-21). Suppose -r - 12 = -i, 0 = -i + 2*i + 5*r - z. Calculate the remainder when 21 is divided by i.
9
Suppose -16*g - 5 = i - 15*g, 5*g = -i - 5. Let o be (0 + 0)*-1 + 11. Let q = i + o. What is the remainder when 25 is divided by q?
1
Let y = 23 - -60. Let s = y - 3. Let j(a) = a**2 + 4*a - 23. What is the remainder when s is divided by j(4)?
8
Let q = -2087 - -2594. Calculate the remainder when q is divided by 164.
15
Let b be (-42)/(-35) + 24/(-20). Suppose 2*r + 5*t - 9 = b, r + 2*t - 26 = -3*r. What is the remainder when r is divided by 4?
3
Suppose 3*d - 3*y = -231, 128 = -5*d + 4*y - 257. Let w = -70 - d. Let z = -41 - -46. Calculate the remainder when w is divided by z.
2
Let f be (-1 + 0)/1 + -2. Let u be (-52)/f + 3 + (-40)/12. Suppose 10*k - u = 123. What is the remainder when 52 is divided by k?
10
Let q(w) = 9*w - 121. Calculate the remainder when q(22) is divided by 42.
35
Suppose -6*p + p + 2*u + 571 = 0, 0 = 3*p + u - 336. Let t = p + -87. What is the remainder when t is divided by 18?
8
Let c(f) = -40*f - 531. Calculate the remainder when 314 is divided by c(-14).
24
Let x(p) = p**2 - p - 6. Let g be x(3). Suppose g = -a - 2, -3*k - 3*a + 2 = -1. Suppose k*f - 11 = 7. Calculate the remainder when f is divided by 2.
0
Let p(o) = o**2 + 47*o - 851. Suppose -5*v + 10 = 30. Calculate the remainder when p(-62) is divided by ((-162)/v)/3*2.
25
Let y be 2/9 - (-3 + 958/18). Let b = y + 46. What is the remainder when -1 + (-6)/b - (-1793)/22 is divided by 28?
26
Let r = 61 + -42. Let f(x) = -x**3 + 16*x**2 - 28*x + 5. Let m be f(14). Suppose z = 3*k - 6, -m*z + k + 24 = 4*k. What is the remainder when r is divided by z?
1
Let q be (-2772)/(-30) + 6/(-15). Le