- 51. Let k be z(12). Suppose 341 + 136 = k*d. Suppose 5*c - 265 = -5*p, -2*p - 131 = -3*c + d. Calculate the remainder when c is divided by 15.
13
Let t = -337 + 569. Let u = -221 + t. What is the remainder when 87 is divided by u?
10
Let l(c) = -50*c - 146. Let j(u) = -17*u - 48. Let b(g) = 17*j(g) - 6*l(g). What is the remainder when 175 is divided by b(0)?
55
Let v = -11980 + 12056. Calculate the remainder when 325 is divided by v.
21
Let p(q) = -2*q - 21. Let m be p(-14). Let a be (2 - m - -10) + 35. Let i = 48 - a. Calculate the remainder when i is divided by 3.
2
Let a = 32 + -29. Suppose 2*t - 55 = -a*t. Let q = -82 - -89. Calculate the remainder when t is divided by q.
4
Suppose -6*q - 168 - 2232 = 0. Let g = 419 + q. Suppose -6*s + s + 165 = 0. Calculate the remainder when s is divided by g.
14
Let q = 266 + -133. Suppose 3*g + 41*g + 2745 = 105*g. What is the remainder when q is divided by g?
43
Let z(b) = b**2 + 6*b + 35. Let f be z(-7). Suppose 21*a - 19*a = f. What is the remainder when ((-8)/(-24))/(3/738) is divided by a?
19
Let f(b) = -b**3 + b + 690. Let a be f(0). Let m = a + -367. Calculate the remainder when m is divided by 65.
63
Let w = 11089 + -10998. What is the remainder when 2364 is divided by w?
89
Let o(w) = -w**3 + w**2. Let h(z) = 7*z**3 - 15*z**2 - 6*z + 21. Let t(c) = -h(c) - 6*o(c). What is the remainder when t(9) is divided by (-45)/1*2/(-5)?
15
Suppose 0 = -280*c + 136*c + 137*c + 1659. Calculate the remainder when c is divided by 119.
118
Let l = 37604 + -37006. What is the remainder when l is divided by 124?
102
Suppose 11*a - 6*a = -l - 274, -2*l = a + 62. Suppose 2*i = 118 + 72. Let d = a + i. What is the remainder when d is divided by 14?
13
Suppose -4*j = -2*j + c - 87, 3*c = 3*j - 135. Suppose -44 = -4*g + j. Calculate the remainder when 38 is divided by g.
16
Suppose 4*o = 4 + 8. Suppose 26 = 3*t + 4*h, -4*t - 3*h + 6 + 17 = 0. Let m(k) = 2*k**2 + 7*k - 11. What is the remainder when m(t) is divided by o?
2
Suppose -271 - 59 = -6*k. Let v = 177 - 134. Suppose 2*i - 3*j = v, 9*i + 2*j = 7*i + 68. What is the remainder when k is divided by i?
26
Let w(h) = h**2 - 3*h + 21. Let o be (11/(-33))/(-2 + 46/24). Calculate the remainder when 42 is divided by w(o).
17
Let o = -257 + 249. Calculate the remainder when 8 is divided by (1/(-3) + o/(-12))*12.
0
Let b = -17 + 19. Let f(l) = -17*l - 2. Let c be f(b). What is the remainder when 56 is divided by 32/(-6)*81/c?
8
Suppose 640*g - 136 = 638*g. Suppose -g*t + 270 = -65*t. Calculate the remainder when 269 is divided by t.
89
Let v(w) = -45*w - 150. Let f be v(-23). Let d be 1/(2/(-8)) + 10. Suppose -4*u + 696 = 4*t, -d*t - 2*u + f = -t. What is the remainder when t is divided by 30?
29
Let u(h) = -h - 2. Suppose 0 = 4*b + 24 + 8. Let f be u(b). Calculate the remainder when 6/(36/739) - 1/f is divided by 31.
30
Let s(x) = x - 9. Let y be s(6). Let v = 5957 + -5719. Calculate the remainder when 6/(-18) - v/y is divided by 10.
9
Let r be ((-48894)/348)/((-1)/10 + 0). Suppose -11 = -12*v + r. Calculate the remainder when v is divided by 43.
32
Let b = 144 + -134. Calculate the remainder when 106 is divided by (-33)/(-9)*(b - 7).
7
Suppose 0 = 73*w + 46*w - 4513 - 14170. Suppose 0*f + 3*p - 392 = -5*f, -3*f = 2*p - 235. What is the remainder when w is divided by f?
78
Let r(j) = 3*j - 20. Let a(w) be the first derivative of -w**2/2 - 2*w + 22. Calculate the remainder when a(-6) is divided by r(7).
0
Suppose -x = -3*i + 3*x - 238, 0 = -4*i - 4*x - 308. Let h = -61 - i. Suppose 4*l = 4*p - 8, 2 - 8 = p - 3*l. What is the remainder when h is divided by p?
5
Suppose y + 276 = -4*n, -2*y = -4*y - 5*n - 537. Let t = y - -302. Calculate the remainder when t is divided by 25.
21
Let q(y) = -20*y**2 + 440*y + 44. Calculate the remainder when q(14) is divided by 26.
22
Let d(i) = 52*i - 143. Let h be d(9). Let o = h + -177. Calculate the remainder when o is divided by 51.
46
Let r = 4422 - 2768. What is the remainder when r is divided by 23?
21
Calculate the remainder when 186 is divided by (-2)/(-6*70/207 - -2).
48
Suppose l - 3366 = 1209. Let x be l/21 + (-1)/(-7). Suppose -16*z + x = -54. What is the remainder when 31 is divided by z?
14
Suppose 50 = 21*m - 34. Suppose 0 = m*l + 3*t + 10 - 93, 0 = -4*l + 3*t + 77. Calculate the remainder when 36 is divided by l.
16
Suppose -5*n + 2*s = -10*n + 3248, -n + 2*s = -652. What is the remainder when n is divided by 18?
2
Suppose 0 = -4*k + 45 - 17. Suppose -15*y + 48 = -k*y. What is the remainder when 25 is divided by y?
1
Suppose -2*o - 4*q - 14 = 0, 5*o - 20*q - 7 = -23*q. Calculate the remainder when o is divided by (-1)/4 + 126/24.
0
Let s = -25 + 29. Suppose 5*k - 195 = -0*u - 5*u, -5*u - 129 = -s*k. Calculate the remainder when 249 is divided by k.
33
Let h = -496 + 528. Let j(z) = -8*z + 31. Calculate the remainder when j(-7) is divided by h.
23
Let f = -7895 + 7907. What is the remainder when 1634 is divided by f?
2
Let m(a) = 27*a + 18. Let h(f) = -f - 8. Let t(l) = -2*h(l) - m(l). What is the remainder when 40 is divided by t(-1)?
17
Suppose 4*t - 14*t + 88 + 102 = 0. Calculate the remainder when 204 is divided by t.
14
Let a be (14/3 - 5)*(2 + -29). Calculate the remainder when (183/a)/(((-14)/(-6))/7) is divided by 35.
26
Let y(c) = 3*c**2 - 123*c + 301. What is the remainder when y(40) is divided by 166?
15
What is the remainder when 247 is divided by (-2 - -11) + -2 - -1*27?
9
Suppose 0 = d + 4*s - 22, -4*d + 176 = -617*s + 622*s. Suppose 5*t - 32 = t. What is the remainder when d is divided by t?
6
Let c(f) = 8*f + f**2 - 7*f + 6*f + 9. Suppose -l - 49*s + 12 = -50*s, -s = -5. Calculate the remainder when l is divided by c(-6).
2
Let y(l) be the second derivative of 5*l**3/2 - 69*l**2/2 - 34*l + 2. What is the remainder when 161 is divided by y(6)?
14
Let f(a) = 15*a**2 + 3. Let s be f(2). Suppose l - 2*l + s = 0. Let w = l + -39. What is the remainder when 71 is divided by w?
23
What is the remainder when 2670 is divided by (-30)/20 - 5333/(-2)?
5
Let w = 3861 + -3808. What is the remainder when 317 is divided by w?
52
Let y = 253 - 130. Let k = -47 - -31. What is the remainder when y is divided by 2/(k/84)*-2?
18
Suppose 52 = 4*s + 5*h - 9*h, -4*h = 3*s - 60. Suppose -15 = 3*t - 276. Suppose -4*b + b = -t. What is the remainder when b is divided by s?
13
Let a = 7387 - 7230. What is the remainder when 728 is divided by a?
100
Suppose -3*t + 21 = 9. Suppose -795 = -3*f - 2*y, 4 + 518 = 2*f + 4*y. Let b = -257 + f. What is the remainder when b is divided by t?
2
Let d(n) = n**3 + 68*n**2 - 2*n - 16. What is the remainder when 953 is divided by d(-68)?
113
Suppose -3*w + 10 + 5 = 0, -3*z = -3*w - 303. Let q = -6190 + 6229. What is the remainder when z is divided by q?
28
Suppose 3*i + 3*c = 57, -3*i - 4*c + 10 = -42. Let s(f) = -2*f**3 + 23*f**2 - 37*f - 35. Calculate the remainder when s(8) is divided by i.
21
Let u = -115 - -120. Suppose -u = -j, -j = -3*d - 4*j + 399. Suppose -4*w = -2*q - d + 32, 34 = w + 2*q. What is the remainder when 103 is divided by w?
25
Suppose 10*j + 3842 - 1192 = 116*j. Calculate the remainder when 50 is divided by j.
0
Let q be ((-20)/3)/(9/(2727/2)). Let v = -436 - q. What is the remainder when v is divided by 32?
30
Suppose 5*u - 102 = -4*g, -g + 12 = u - 3*g. Let s = -17 + 33. Suppose -u*b = -s*b - 54. Calculate the remainder when b is divided by 8.
3
Let w(m) = 6*m**2 - 83*m - 8. Let n be w(14). Suppose -4*a - 7 = -z + n, -4*z = 3*a - 147. Calculate the remainder when 186 is divided by z.
21
Let b be 1120/16 - (-2 + 1 - -1). Suppose 50*c = 55*c - b. Suppose 3 = -3*s + 126. Calculate the remainder when s is divided by c.
13
Suppose j - 2*f = 150, 64*j + 2*f = 62*j + 300. What is the remainder when j is divided by 4?
2
Suppose r - 2*g - 12 = 259, r = -3*g + 246. Calculate the remainder when r is divided by 74.
39
Let l(g) be the third derivative of g**4/8 + 62*g**3/3 - 48*g**2. Calculate the remainder when l(-10) is divided by 19.
18
Let t(a) = -14*a + 22*a - 4 + 6*a. Suppose 0 = 3*x - 2*r - 504, x = 6*x - r - 833. What is the remainder when x is divided by t(2)?
22
Let z = 88 - 84. Suppose z*k - k = -2*k. Suppose -22 = -5*m + 3, k = 4*f + 5*m - 113. Calculate the remainder w