e the remainder when d is divided by j.
10
Suppose 3*f + 4*n + 35 = 29, 5*f = n - 10. Let j(c) = -c**2 - 12*c + 2. Let p be j(-11). Let i = p - f. What is the remainder when 41 is divided by i?
11
Let y = 164 - 93. Suppose -y = -5*w - 26. What is the remainder when w is divided by 7?
2
Suppose -252 = 23189*j - 23191*j. Suppose -37 + 20 = -i. What is the remainder when j is divided by i?
7
Let g(i) = -i**2 + 5*i + 3. Let o(p) be the third derivative of -p**6/120 + p**5/15 + p**4/4 + 58*p**2 + 1. What is the remainder when o(3) is divided by g(4)?
6
Let x = -79 + 126. Let w(f) = 76*f + 1. Let z be w(12). Suppose 3*n = z - 361. What is the remainder when n is divided by x?
43
Suppose 5*v - 4*p + 100 = 8*v, 3*v - 2*p = 76. Calculate the remainder when (1/1)/(2/260) is divided by 11*(-5 + -1 + v + -18).
42
Let a(q) = 5*q + 133. What is the remainder when a(13) is divided by 50?
48
Suppose -5*x - 15 = 0, 19*t - 5*x - 21 = 17*t. Suppose -n - t*w + 264 = 0, 11*n + 271 = 12*n - 4*w. Calculate the remainder when n is divided by 16.
11
Suppose i + 0 = 3*p - 14, 4*p = -3*i + 10. Let q be (-6 + -4*(-3)/6)/i. Suppose -7*f + q*f + 20 = 0. Calculate the remainder when f is divided by 3.
1
Let t = -202 - -383. Let x = 371 + -314. Suppose 4*r + 4*i - 264 = 0, 2*i + x = r + 6. What is the remainder when t is divided by r?
59
Calculate the remainder when 457 is divided by 17*(-1*2)/((-92)/138).
49
Let s be (-90 - 0)*30/(-50). Suppose -5*i + 133 = 2*k - 5*k, 5*i - k = 141. What is the remainder when (s - -1)*13/13 is divided by i?
26
Suppose -5*v = -17 - 273. Let y = 7438 - 7416. What is the remainder when v is divided by y?
14
Let q = 2345 + -2340. What is the remainder when 216 is divided by q?
1
Let x = 23 + 1. Calculate the remainder when ((-22)/110 + (-1112)/(-10))/3 is divided by x.
13
Let o(u) = 22*u**2 + 2*u + 4. Let z be o(-3). Suppose p = -p + z. Let r(s) = -2*s + 1. Calculate the remainder when p is divided by r(-4).
8
Suppose -280*p + 3963 = 137*p + 210. What is the remainder when 641 is divided by p?
2
Let n(p) = -298*p - 3771. What is the remainder when n(-14) is divided by 58?
53
Suppose -1277 = -6*n + 271. Calculate the remainder when n is divided by 25.
8
Let v(y) be the second derivative of y**4/3 + 11*y**2/2 - 100*y. What is the remainder when v(5) is divided by 62?
49
Let m = -283 + 287. What is the remainder when 1586 is divided by m?
2
Suppose 13*u = 602 + 22. Calculate the remainder when 1534 is divided by u.
46
Suppose 9*u = 5*y - 1628, 28*u = 4*y + 25*u - 1294. What is the remainder when 961 is divided by y?
317
Let i(h) = -4*h**3 - h**2 + 4. Let q be i(-4). Suppose 170 = 6*l - q. Calculate the remainder when l is divided by 5.
4
Suppose -34*d - 53*d = -81 - 963. Calculate the remainder when 1774 is divided by d.
10
Suppose 37*z - 118*z - 5425 + 23650 = 0. What is the remainder when 491 is divided by z?
41
Let b = 141 - 136. Calculate the remainder when 93 is divided by b + (138/7 - (-12)/42).
18
Let a = 2033 - 1315. What is the remainder when a is divided by 81?
70
Suppose 4*d + 2332 = 4*o, -4*o - 75*d + 2314 = -73*d. Suppose -o = -33*w + 5987. Calculate the remainder when w is divided by 51.
46
Let t = -56 + 66. Let y(b) = 7*b**2 - b + 2. Let d(o) = 29*o**2 - 4*o + 7. Let w(x) = -2*d(x) + 9*y(x). What is the remainder when w(3) is divided by t?
6
Let h(l) = -141*l - 7684. Calculate the remainder when h(-57) is divided by 92.
77
Let p = 138 + -108. Suppose -p*r + 31*r - 193 = 0. What is the remainder when r is divided by 50?
43
Suppose 2*c + 557 = 61. Let t = c - -261. Calculate the remainder when 113 is divided by t.
9
Calculate the remainder when (22 - 4 - -6)*324/24 is divided by 106.
6
Suppose -11*i - 17*i + 980 = 0. Calculate the remainder when i is divided by (248/24)/((-1)/(-3)).
4
Let z be 133/57 + 2/3. Suppose d + 75 = -z*h, 2*d = -3*h - 20 - 58. Calculate the remainder when 2/16 - 1893/h is divided by 20.
19
Suppose -45 + 100 = 11*q. What is the remainder when 34 is divided by 2/10 + 99/q?
14
Let s(z) = 2*z**3 - 4*z**2 - 3*z + 46. Calculate the remainder when s(7) is divided by 43.
42
Let j(m) = m**3 - 5*m**2 - 2*m + 5. Let y be j(6). Suppose -7 - y = -2*i. What is the remainder when (-3)/12 + 114*(-15)/(-24) is divided by i?
17
Suppose -3*r + 5*d = -1327, 3*d = -18*r + 13*r + 2257. Calculate the remainder when r is divided by (18/16)/((-12)/(-80))*6.
44
Suppose -16356 = 17*z - 29*z. What is the remainder when z is divided by 15?
13
Let j be -10 + 5 + 4 + -6. Calculate the remainder when 49 is divided by ((-2)/j)/1 + 966/49.
9
Suppose 2*a - 220 = -4*w, 4*w - 25 = a + 189. Suppose -2*y - 34*x + 33*x + 430 = 0, -4*x + 655 = 3*y. What is the remainder when y is divided by w?
51
Suppose 3*i + g - 127 = -10, -2*i = g - 79. Calculate the remainder when 1251 is divided by i.
35
Let c(q) = -9*q + 87. Let a be c(10). What is the remainder when 36 is divided by 5*(8/a)/((-4)/6)?
16
Suppose -k + 173 = 170. Suppose 28 = 2*i + k*r, -62 = -3*i + 2*r - 7. What is the remainder when 40 is divided by i?
6
Let k = 96 - 68. What is the remainder when (-132)/21*-3*k/24 is divided by 15?
7
Let l(r) = -10*r**3 - 55*r**2 - 43*r - 349. Let d = 70 - 24. Calculate the remainder when l(-6) is divided by d.
43
Suppose 5*w - 208650 = -7*w - 63*w. What is the remainder when w is divided by 8?
6
Suppose 5*k = 25, -3*h + 0*k + 21 = 3*k. Let t(o) = 4*o - 6. Let q be t(h). Suppose -3*d - q*d = -55. What is the remainder when 30 is divided by d?
8
Let k(p) = -p**3 + 10*p**2 + 3*p + 70. Let o be k(8). Calculate the remainder when 78 is divided by (o/(-4))/(-3)*(9 + -7).
4
Calculate the remainder when (-3)/((-93)/45200) + (-8)/124 is divided by 77.
72
Calculate the remainder when 239 is divided by (3 + -65)/((-23)/((-207)/(-18))).
22
Suppose 3*c - 2627 = -2255. Calculate the remainder when c is divided by 66.
58
Let y = -878 - -1073. Suppose -182*i = -197*i + y. Calculate the remainder when 28 is divided by i.
2
Let p be (259/(-28) + 10)*-24. Let j = -74 - -47. What is the remainder when p/j - (-88)/3 is divided by 8?
6
Let u be -1*(5/1 + -323). Suppose 0 = -23*f + 17*f + u. What is the remainder when f is divided by 20?
13
Let d(j) = 4*j - 63. Calculate the remainder when d(67) is divided by 121.
84
Let v(o) = 52*o - 7. Let i be v(-3). Let z = i - -233. Suppose 0 = -17*p + 113 + 40. What is the remainder when z is divided by p?
7
Suppose 4*v - 13 = -1. Let r = 17605 + -17573. What is the remainder when r is divided by v?
2
Let t be (-51)/204*(0 - 0)*-1. Suppose -13*b + 20 + 201 = t. Suppose 2*l - 99 = -l. What is the remainder when l is divided by b?
16
Suppose -3*c - 4*l - 222 + 967 = 0, 3*l = 12. What is the remainder when 749 is divided by c?
20
Suppose 3*r + 132 + 38 = -2*d, 3*r + 4*d = -172. Let p = r + 73. What is the remainder when 27 is divided by p?
10
Let o = 44 + -41. Suppose -498 = -t + o*r, -7*t + 3*t + 1927 = r. Let a = t - 292. What is the remainder when a is divided by 32?
31
Let f(q) = -q**3 + 33*q**2 - 17*q - 60. What is the remainder when f(32) is divided by 78?
30
Calculate the remainder when 264 is divided by (12/(-32)*-8 + -5)*-13.
4
Let k = -37 - 47. Let n(i) = -2*i**3 - 19*i**2 + 13*i - 16. Let u be n(-10). Let h = u - k. Calculate the remainder when h is divided by 20.
18
What is the remainder when 1258 is divided by (-23)/(920/96)*-15?
34
Suppose 3*z - 2*n + 401 = 0, -3*z - 11*n + 6*n - 436 = 0. Let h = z - -161. Calculate the remainder when 95 is divided by h.
23
Suppose 514*a - 6311430 = 169*a. Calculate the remainder when a is divided by 9.
6
Suppose 127*k = -253*k - 168*k + 2740. Let b = -8 + 13. What is the remainder when b is divided by k?
0
Suppose 0*k = 5*k - 150. Let g(o) = -3*o + 60. Let s be g(9). Let d = s - 25. Calculate the remainder when k is divided by d.
6
Suppose 373 + 472 = -13*u. Let b(g) = -g**3 - 6*g**2 - 4*g. What is the remainder when (6 - u/(-3))/((-1)/3) is divided by b(-6)?
23
Let z = -5557 + 6328. What is the remainder when z is divided by 194?
189
Let f = -15455 - -15499. Calculate the remainder when 308 is divided by f.
0
Let i(v) = -v**2 - v - 552. Let q be i(0). Let n(g) = 4*g - 115. What is the remainder when q/(-9) + 2/3 is divided by n(31)?
8
Let k = -8135 + 8155. What is the remainder when 1078 is 