, 0 = -2*y + v*p + 354. What is the remainder when y is divided by 17?
5
Suppose 0 = 18*k - 16*k - 14. Suppose 2*b = k*b - c - 256, 4*b = 2*c + 200. What is the remainder when 308 is divided by b?
48
Let f = -660 - -1114. What is the remainder when f is divided by 57?
55
Let p(r) = -110*r - 969. Calculate the remainder when p(-11) is divided by 19.
13
Let j(a) = -4*a**2 + 24*a - 131. Let w be j(12). Let v = w - -519. Calculate the remainder when 392 is divided by v.
92
Let c(a) = -82*a + 43. What is the remainder when c(-3) is divided by 18?
1
Suppose -3*o = -o + 3*o. Suppose o = -n + 7*q - 2*q + 56, n - 40 = -3*q. Calculate the remainder when n is divided by 8.
6
Let w be (36/20)/((-3)/(-10)). Suppose -2*t + w*t = 0. Suppose t = l + 6 - 10. Calculate the remainder when 10 is divided by l.
2
Suppose 2 - 35 = -5*h + 3*a, 0 = 4*h - a - 32. What is the remainder when 187 is divided by h?
7
Suppose -34*d + 67632 = -29574. What is the remainder when d is divided by 18?
15
Suppose -1 = -3*o + 3*m + 203, 4*m = 3*m. Let v(h) = -15*h - 4. What is the remainder when v(-9) is divided by o?
63
Let l(r) = r**2 + 60. Let f be l(0). Let k = 386 - 327. Calculate the remainder when k is divided by ((-26)/(-65))/(2/f).
11
Let m(k) = 18*k - 3. Suppose 5*z - 3*r = 642, 47 = 4*z - 2*r - 465. What is the remainder when z is divided by m(2)?
27
Let f = -25 + 44. Suppose -7*r + 129 = -6*r. Suppose -5*p + r = -56. What is the remainder when p is divided by f?
18
Let r(s) = -s**2 + 4*s - 3. Let t be r(3). Suppose -4*k = -3*a - 8, t = -k - 5*a - 1 + 3. Let c = -182 - -188. What is the remainder when c is divided by k?
0
Suppose 16 = 10*d - 2*d. Suppose 0 = d*r - 3 + 9, -4*r + 54 = 2*p. Suppose -133 - 62 = -3*j. What is the remainder when j is divided by p?
32
Suppose 5*u - 9*h = -4*h + 360, 4*u - 290 = 5*h. Suppose 220*i = 388*i - 46704. What is the remainder when i is divided by u?
68
Suppose -5*r + 322 = -3*o, -5*r - 3*o + 200 + 128 = 0. Calculate the remainder when 134 is divided by r.
4
Let n(z) = -6*z**2 + 539*z + 192. Calculate the remainder when n(78) is divided by 94.
90
What is the remainder when (-1)/16 + 1897207/3952 is divided by 472?
8
Suppose -49*h + 11790 + 3225 = -4977. What is the remainder when h is divided by 58?
2
Let r = -5416 + 5465. Calculate the remainder when 123 is divided by r.
25
Suppose -4*t - 2*l + 202 = -7*l, -t + 2*l + 49 = 0. Let z(s) = -18*s - 3. Let q be z(-7). Suppose -11*y = -q + 24. What is the remainder when t is divided by y?
8
Let d(t) = -t**3 - 2*t**2 + 16*t + 1. Let l = 109 - 99. Calculate the remainder when d(-6) is divided by l.
9
Suppose 4*b - 51 = 1. Let w(p) = -p**3 + 6*p**2 + 18*p - 16. Let a be w(8). Suppose 8*h + 21*h - 116 = a. Calculate the remainder when b is divided by h.
1
Let h(d) = 21*d**2 - 8*d - 385. What is the remainder when h(9) is divided by 14?
12
Suppose 34 = t - 20. Suppose 0 = 6*i - 66 - t. What is the remainder when i is divided by (-99)/(-15) - 2*(-1)/5?
6
Let z = -119 - -395. Let y = 580 - z. Suppose -4*p = -4*s + y, -s + 70 = 3*p - 7*p. What is the remainder when s is divided by 20?
18
What is the remainder when 340 is divided by -4 + 102/18 + -3*(-84)/27?
10
What is the remainder when ((-64)/224)/((-3)/7833) is divided by 7?
4
Suppose -19*v = -16*v - 3*y, -11*v + 169 = 2*y. Suppose -2*g + 38 = -64. What is the remainder when g is divided by v?
12
Let h = -7 + 10. Let a be 1/(h/(-26))*(-6)/4. What is the remainder when 346/12 + a/78 is divided by 15?
14
Let h be 6/(-7)*(-22 + -4 + -2). Suppose 17*y + h*y - 1107 = 0. Calculate the remainder when 142 is divided by y.
7
Let v = 13245 + -12406. Calculate the remainder when v is divided by 65.
59
Let d(o) be the first derivative of -o**3 - 18*o**2 - 12*o + 43. Calculate the remainder when 267 is divided by d(-11).
15
Suppose 18*h - 268*h = -33*h - 7161. Calculate the remainder when 966 is divided by h.
9
Let m = 239 + -141. Let h = m - 101. Let u(s) = -2*s**3 + s**2 - s - 9. Calculate the remainder when u(h) is divided by 29.
28
Let a = 2694 + -2685. What is the remainder when 484 is divided by a?
7
Suppose -5*j + 149 = -101. Let s(l) be the second derivative of l**5/10 - l**4/6 - l**3 - 2*l**2 - 154*l. Calculate the remainder when j is divided by s(3).
8
Suppose -5*o = -2*q - 14734 + 3030, -4*o = 2*q - 9356. Calculate the remainder when o is divided by 8.
4
Suppose d - 13 = -j - 6, -3*j + 24 = 4*d. Suppose -20 = 5*v, s - j*v + 6 = 35. What is the remainder when 23 is divided by s?
10
Let t be (-40*(-28)/21)/(1/(-3)). Let d = 184 + t. Calculate the remainder when 81 is divided by d.
9
Suppose 2*k + 7 = -2*v + 5*k, -4*v = k + 21. Let m = -86 + 153. What is the remainder when m/4 + 0 + v/(-20) is divided by 11?
6
Let i(v) = 6*v**2 + v + 4. Calculate the remainder when i(-2) is divided by (-9)/(-4 + 1) - -6.
8
Let u = -211 + 259. Let w = -31 + u. What is the remainder when 49 is divided by w?
15
Suppose 197*i = 176*i + 1155. What is the remainder when 90 is divided by i?
35
Suppose 46*f = 4420 - 1292. What is the remainder when f is divided by 4 + -7 - (-15 - 0)?
8
Let z = 192 - 124. What is the remainder when z is divided by (-4)/(-6) + 630/189?
0
Let q be 10*(5 - (-3 - -7)). Suppose 3*g - 4*a = q + 2, 4*a = -g + 20. Suppose u + 5*h - 39 = 0, 2*h - 1 = 3. What is the remainder when u is divided by g?
5
Let j(s) = 4*s**3 - 2*s**2 - 1. Calculate the remainder when 3701 is divided by j(2).
21
Suppose 1659*a + 1496 = 1681*a. What is the remainder when 133 is divided by a?
65
Suppose 0 = 3*i + 3*z - 216, -2*i - 51*z + 46*z = -141. Let r = 27 + 41. Suppose r*q = i*q - 370. What is the remainder when q is divided by 19?
17
Let o(h) = -3*h**2 + 37*h + 1372. Calculate the remainder when 8645 is divided by o(27).
181
Let j(d) = -d**3 + 14*d**2 + 34*d - 26. Let n be j(16). What is the remainder when 302 is divided by (-51)/((-5)/n + (-24)/144)?
47
Let b = 583 + -48. Let l = 559 - b. Calculate the remainder when l is divided by 17.
7
Let b = 17 - 5. Let a(k) = 20*k + 17*k - 46*k + 25*k - 114 + 423. What is the remainder when a(-12) is divided by b?
9
Suppose -99*r + 41077 = 127*r - 14293. What is the remainder when 679 is divided by r?
189
Suppose -22*m + 42 = l - 17*m, 2*m = l - 35. Suppose 31*a + 798 = l*a. Calculate the remainder when a is divided by 28.
21
Let v(s) = 316*s - 12. Let x be v(1). Let y = x + -302. Calculate the remainder when 49 is divided by y.
1
Let k be 4/18 + 32/18. Suppose 0*g = k*g - 8. Let s = 15 + -12. Calculate the remainder when g is divided by s.
1
Calculate the remainder when (-4*7)/(-7) - -5 is divided by -33*(4 + -3)/(-3) + -4.
2
Suppose 12*t = -2 + 62. Suppose f + t = 13. Let v = -29 - -52. Calculate the remainder when v is divided by f.
7
Suppose -4*d + 2*l = -18, -24*d - 5*l - 6 = -21*d. Suppose 0 = -4*u + 88 - 4. Let y = u - 11. What is the remainder when y is divided by d?
1
Let x = 16978 - 15453. Calculate the remainder when x is divided by 48.
37
Suppose 4*x - 2*m - 40 = 0, -2*x = -5*m + 2*m - 24. Suppose 0 = 29*j + x*j - 11248. Calculate the remainder when j is divided by 50.
46
Let d be 3 + (-1 - 0) + 34 + -4. Suppose 288 = -10*l - d. Let w = 34 - l. Calculate the remainder when w is divided by 18.
12
Let p be 145*3*4/40*-16. Let o = p + 714. Calculate the remainder when o is divided by 10.
8
Let q(u) = -2*u**3 + 2*u**2 - 4*u + 14. Calculate the remainder when 1423 is divided by q(0).
9
Let q be (-40 + 40)*(-2*1 - -1). Suppose q = 11*p - 155 - 1022. What is the remainder when p is divided by 27?
26
Let a be (-533 - 18) + (-4)/(-1). Let v = 553 + a. Calculate the remainder when 417 is divided by v.
3
Let q = -725 - -748. What is the remainder when q is divided by 7?
2
Suppose 0 = 8*x - 469 - 75. Suppose 7 = -y - 5*l - 3, 0 = -l - 4. Let r = 8 + y. Calculate the remainder when x is divided by r.
14
Let l = 489 + -437. What is the remainder when (l + -2)*(4 + -3) is divided by 1/4 - (-91)/4?
4
Suppose 65*q - 73257 = -17422. What is the remainder when q is divided by 171?
4
Let c = -1069 - -1004. What is the remainder when 7/((-7)/21*15/c) is divided by 43?
5
Let q(l) = l - 7 + 0*l**3 - 6 - 73*l**2 + 4*l**3 + 53*l**2 - l**3. What is the remainder when q(7) is divided by 10?
3
Let u = -1071 + 1201. Let r = -61 + 90. What is the