n be ((-18)/q)/((-9)/(-12)). What is the remainder when (-39)/(-1) + (-6)/n is divided by 13?
12
Let p(m) = -25*m**2 + 379*m + 51. Calculate the remainder when 596 is divided by p(15).
41
Let i(t) be the second derivative of t**5/20 - 19*t**4/12 - 3*t**3 - 18*t**2 - 188*t. What is the remainder when -2 + 3 + (-1 - -15) is divided by i(20)?
3
Let q = 18261 - 9876. Calculate the remainder when q is divided by 233.
230
Let y(j) = -9*j**3 + j**2 + 8. Suppose -3398 = -18*g - 3002. Calculate the remainder when y(-3) is divided by g.
18
Suppose -l = -2*l + 4*s - 14, 0 = 4*l - s + 56. Let i = 12 + l. Calculate the remainder when i/(-10) - (-416)/20 is divided by 11.
10
Let o be ((-9)/(-9) - -19)*(-10)/(-8). Suppose 207 = o*k - 168. Calculate the remainder when 131 is divided by k.
11
Suppose -1470 = -19*s - 35 + 104. Calculate the remainder when 1050 is divided by s.
78
Suppose h - 13*c - 52 = -11*c, -4*c = 20. Calculate the remainder when -156*(2/(-5))/(h/35) is divided by 29.
23
Suppose -2 = r, 0*c = -3*c + 5*r - 485. What is the remainder when (-3*1 + 0)*4730/c is divided by (-2)/6*-11*3?
9
Let q = 149 - 147. Let u = q + 14. Calculate the remainder when 205 is divided by u.
13
Suppose -8*n - 4*n + 14967 = -11*n. What is the remainder when n is divided by 4989?
0
Suppose 2*i - 153 = 4*o - 577, -5*i = 20. Calculate the remainder when 311 is divided by o.
103
Let a = -8510 + 9535. Calculate the remainder when a is divided by 46.
13
Let o = -428 - -543. Suppose 0 = -p + 3*v + 47, -4*p - 4*v + o = -121. Calculate the remainder when 110 is divided by p.
54
Suppose -o + 60 = -10. Suppose 33*q - 36*q + 4*b = -3866, b + 5159 = 4*q. What is the remainder when o is divided by (2 + (-39)/15)/((-43)/q)?
16
Suppose -2*m = -0*m - 10. Suppose -6*z - 221 = -7*z. Let q = z + -213. Calculate the remainder when q is divided by m.
3
Suppose -148 = -94*x + 86*x + 4*v, -5*v - 71 = -4*x. Calculate the remainder when 1612 is divided by x.
16
Let w(x) = 3*x**2 - 24*x + 41. Let b(a) = -13*a**2 + 95*a - 165. Let j(g) = -2*b(g) - 9*w(g). What is the remainder when 112 is divided by j(23)?
22
Let v be ((-12)/14)/((-6)/28). Suppose -8 = -u - 4*u - r, -v = 2*r. Let n(k) = 3*k**3 - 19*k**2 + 9*k - 14. Calculate the remainder when n(6) is divided by u.
0
Let k be ((-20)/(-3))/(-2)*(-173 + 62). Suppose -k = -0*a - 2*a. What is the remainder when a is divided by 17?
15
Suppose 0 = 2*s - 599*r + 604*r - 43, 3*s - 52 = -5*r. Calculate the remainder when 1169 is divided by s.
8
Let t be (-7)/28 + (-674)/(-8). Let v = 179 - t. Calculate the remainder when v is divided by 50.
45
Let t = 16 - 13. Let c(m) = -2*m - 3. Let a(u) = 37*u - 4. Let x(l) = a(l) + 2*c(l). What is the remainder when x(t) is divided by 25?
14
Let f = 3545 + -3468. What is the remainder when 629 is divided by f?
13
Suppose 2*k + 10 = 0, u + 5*k - 1 = -21. Suppose -c + 3 = -21 + 2. What is the remainder when c is divided by u?
2
Let c = -18 - -6. Suppose -k + 10 = 6. Let r = k - c. Calculate the remainder when 55 is divided by r.
7
Let l = -255 - -588. What is the remainder when 1/3*(l - (3 - 3)) is divided by 7?
6
Let i(r) = -r**2 + 37*r + 21. Let t be i(16). Let h = t + -244. Calculate the remainder when h is divided by 29.
26
Suppose 0 = -3*a + 39 + 9. Let t be 3 - 4 - 67*-1. Calculate the remainder when t/8*(-464)/(-87) is divided by a.
12
Let y be ((-9)/2)/((-66)/5148). Let v = -311 + y. Calculate the remainder when v is divided by 4.
0
Suppose 5*h = -5*v - 580, -5*v - 604 = -h - 2*h. Suppose -2*q + 0*q - 2*j = 212, -4*j = 3*q + 318. Let w = q - v. What is the remainder when 49 is divided by w?
10
Let r(s) = -23*s - 8. Suppose -75*i - 4413 + 4713 = 0. Calculate the remainder when r(-6) is divided by i.
2
Suppose -6*l - 120 = -l + 3*p, -5*l = 4*p + 120. Let i(h) = h**3 + h**2 - 3*h + 13. Calculate the remainder when i(3) is divided by 40/(-12)*l/5.
8
Suppose -5*u - 5*a = 120, 0*u - 2*u + a - 57 = 0. What is the remainder when (-15)/(-5)*(-936)/u is divided by 21?
20
Calculate the remainder when 1007 is divided by (3 - 0)/(5 - (2 - 4965/(-1660))).
11
Suppose -2570 = -5*c - 2*d, 4*c - 2074 = 6*d - 4*d. Let a = c - 468. What is the remainder when 142 is divided by a?
46
Let w(p) = 14*p - 150. Let m be w(11). Suppose -o = -m - 15. Calculate the remainder when 85 is divided by o.
9
Suppose 20 = 4*b - 84. Suppose 0 = 30*p - b*p - 608. Let z = -78 + 109. Calculate the remainder when p is divided by z.
28
Suppose -4*x + 575 - 62 = -5*t, -2*x + 256 = -2*t. Suppose -103 = -5*c + x. Suppose -c = -7*d + 80. Calculate the remainder when 29 is divided by d.
11
Let u(a) be the second derivative of -26*a**3/3 + a**2 + 5*a. Let r(x) = x**2 - 9*x + 7. Let p be r(8). Calculate the remainder when u(p) is divided by 19.
16
Suppose -196*n - 483648 + 1042056 = -464320. Calculate the remainder when n is divided by 55.
48
Suppose -4*v = -2*v + 110. Let s(u) = u**3 - 5*u**2 - 12*u + 4. Let w be s(6). Let h = w - v. What is the remainder when h is divided by 6?
5
Suppose -6 - 74 = -4*y. Let o(q) be the third derivative of -q**5/60 - 47*q**4/24 - 47*q**3/2 + 74*q**2. Calculate the remainder when o(-40) is divided by y.
19
Suppose -26*q - 231 = -22*q - 2239. What is the remainder when q is divided by 113?
50
Let l(w) = -22*w - 86. Let b = 717 - 656. Calculate the remainder when b is divided by l(-6).
15
Let o = 3127 - 3030. What is the remainder when o is divided by 94?
3
Let u be (4 + -5)/((-2)/6). Suppose 4*n - 333 = u*o, -18 = -5*o + 7. Calculate the remainder when n is divided by (10 - (-8 + 22)) + 2*13.
21
Calculate the remainder when 10705496/13850 - 2/(-50) is divided by 134.
103
Let t be (1 - 0)/(((-4)/16)/1). What is the remainder when -6 - t - (-1470)/6 is divided by 35?
33
Let w(n) = -n + 52. Let g = -472 - -478. What is the remainder when w(-4) is divided by g?
2
Let l(f) = 2*f**2 + 23*f + 119. Let c be l(-6). Suppose 3*m = -2*s + c, 0 = 3*m + 5*s - 28 - 37. Calculate the remainder when 28 is divided by m.
13
Calculate the remainder when ((536796/(-27))/26)/((-2)/6) is divided by 110.
94
Suppose -79*j + 6512 = -32*j + 27*j. Suppose -5*r + 63 = -77. Suppose -4*o = 4*i - 16 - r, -o + 3*i = -27. Calculate the remainder when j is divided by o.
13
Let m(u) = u**3 - 15*u**2 + 59*u - 37. Calculate the remainder when 620 is divided by m(11).
108
Suppose 5*k + y - 20 = 0, -3*k - 9 + 21 = -2*y. What is the remainder when 577 is divided by k?
1
Suppose -z = 5*g - 7, -g - 2*g = 2*z. Suppose g*c = -2*l + 94, -3*c - 17 = -l + 2*c. Let a = 60 - l. Calculate the remainder when a is divided by 4.
2
What is the remainder when 252 is divided by (-60 + -3)/(14/16*96/(-112))?
0
Let p = -73 + 75. Suppose -6*m + 249 = 5*w - p*m, -33 = -w - 5*m. What is the remainder when 93 is divided by w?
40
Suppose 170 - 522 = -16*t. Suppose -4 = 5*s + 5*o - 84, 2*s - 38 = -4*o. Calculate the remainder when t is divided by s.
9
Let u(g) = -g**2 - 2*g + 63. Let n be u(6). Calculate the remainder when 544 is divided by (-7)/((n/(-18))/5).
40
Let j(i) = i**2 - 36*i + 4. Let b be j(36). Suppose 3*r - b*d - 105 = 0, -3*r + 92 = 3*d - 34. Calculate the remainder when r is divided by 31.
8
Let y = -444 + 449. Calculate the remainder when ((-155)/(-20) + y)*4 is divided by 11.
7
Let y = -2748 - -2793. What is the remainder when 443 is divided by y?
38
Suppose 3*k - 15597 = 3*q, k - 67*q + 69*q = 5202. What is the remainder when k is divided by 153?
151
Let v = -213 + 233. Calculate the remainder when 9/6*24/9 - -90 is divided by v.
14
Let h = -283 + 541. Let a = h + -238. What is the remainder when 51 is divided by a?
11
Let j be 716/6 - (-2)/(-6). Let t = -914 - -817. Let z = j + t. What is the remainder when 47 is divided by z?
3
Let o(g) = 2*g**3 - 10*g**2 - 3*g + 9. Let y be (717/9 + 3)*(-7 + 4). What is the remainder when o(7) is divided by y/(-32)*(-3 - -7)?
29
Suppose 4*y - 49 = -r, 5*y + 127*r - 129*r - 97 = 0. Let q(c) = 2*c**2 - 6*c - 7. What is the remainder when q(6) is divided by y?
14
What is the remainder when 521 + (-72)/(-54) + (-2)/(-3) is divided by 90?
73
Suppose -172*s + 1560 = 167*s - 79*s. Calculate the remainder when s is divided by (-9)/(-5)*(-10)/(-3).
0
Calculate the remainder when 48 is divided by (-1)/(-9)*2 - 590/(-18).
15
Suppose -17*k - 23