emainder when 378 is divided by d.
14
Let d(q) = -q - 33. Let f be d(0). Let r = f + 89. Suppose -22 = -4*g + 58. What is the remainder when r is divided by g?
16
Let x(s) be the third derivative of -s**4/6 + 53*s**3/6 + 43*s**2 + 1. What is the remainder when 89 is divided by x(10)?
11
Let j(p) = 14*p**2 - 3*p - 1. Let k be j(-4). Suppose 9*g - 1135 + k = 0. Suppose l = 5*l + 3*d - 49, -l + 12 = d. What is the remainder when g is divided by l?
9
Let l = -20536 + 20788. Calculate the remainder when l is divided by 92.
68
Let c be (17 - -4)*(200 - (-1 + 0)). Suppose 6*o - 4527 = -c. Calculate the remainder when 303 is divided by o.
48
Suppose 97*i - 93*i - 610 = -6*s, i = -2*s + 206. Suppose 0 = -5*j + 311 + 1349. What is the remainder when j is divided by s?
11
Suppose -l + 3*l - j = 37, -58 = -3*l - j. Suppose -2196 = -9*o - 3*o. Let v = o + -173. What is the remainder when l is divided by v?
9
Let p(i) = 2*i**2 - 3*i - 9. Suppose -6 = -2*c, 4*w + 29 = -3*c + 6*c. Let v be p(w). Let j = v - 24. What is the remainder when 95 is divided by j?
31
Suppose -13*t + 3*t + 130 = 0. Calculate the remainder when (-10*(-1)/15)/(1/24) is divided by t.
3
Suppose 7*n + 680 = 2108. Calculate the remainder when n is divided by 116.
88
Let j be -33*(-10)/(-135)*9. Calculate the remainder when 51 is divided by (j/(-99))/(2/18)*13.
25
Let p be 25/3 - 3/9. Suppose 0 = 9*c - p*c + 10. Let w = c + 42. What is the remainder when w is divided by 10?
2
Suppose 304 = 13*x - 268. What is the remainder when x is divided by 27?
17
Let c be (426/(-355))/(6/10). Calculate the remainder when ((-384)/112)/(c/14) is divided by (-13)/1*(0 + -1).
11
Let u = 367 + -311. Suppose 0 = -52*w + u*w - 8. What is the remainder when 12 is divided by w?
0
Let o be 4110/27 + (-2)/9. Suppose 37*t = -232*t + 422 + 385. Suppose -t*h + 2*g - o = -7*h, 0 = -5*g. What is the remainder when h is divided by 22?
16
Suppose -223*b + 219*b = 2*w - 114, -3*w = 5*b - 165. What is the remainder when w is divided by 39?
6
Calculate the remainder when 1792/42*(3 + (13 - -2)) is divided by 35.
33
Suppose 64*x + 2*l + 278 = 68*x, -4*l - 124 = -2*x. Calculate the remainder when 190 is divided by x.
46
Let o = -2393 - -2400. Calculate the remainder when (-8 - -6)*11/(-2) is divided by o.
4
Suppose 3*p + 2*i - 104 = 0, -496*p + 4*i = -497*p + 48. Suppose -285 = -3*m + 3*f, -f - 467 = -5*m - 0*f. What is the remainder when m is divided by p?
29
Suppose 5*r - 2*l + 2 = 0, 4*r - 2*l - 3 = -5. Let w(v) = v**2 + 44*v + 503. Calculate the remainder when w(r) is divided by 21.
20
Let h(c) = 2*c - 66. Let y be h(33). Suppose f + y*f - 11 = 0. Calculate the remainder when 18 is divided by f.
7
Let k(c) be the second derivative of c**5/20 + 13*c**4/12 - 8*c**3/3 - 17*c**2/2 + 5*c. What is the remainder when k(-14) is divided by 28/10*(-200)/(-80)?
4
Let c = 7 - 3. Suppose -4*j + c = -12. Suppose 14 - j = w. What is the remainder when 26 is divided by w?
6
Calculate the remainder when 812 is divided by (16/3 - 3)/((-103)/(-4017)).
84
Let s = 25 - -13. Let m(t) = -t**3 - 8*t**2 - 7*t + 7. Let n be m(-9). Calculate the remainder when 2*n*3/6 is divided by s.
37
Let x = -7380 - -16774. Calculate the remainder when x is divided by 9.
7
Calculate the remainder when -4 + 80/28 + 2 - 3449611/(-371) is divided by 6.
5
Let p = -3604 + 3710. Calculate the remainder when 264 is divided by p.
52
Let a = 2632 + -2561. Calculate the remainder when 281 is divided by a.
68
Let m(g) = -11*g + 6. What is the remainder when m(-10) is divided by (8/18 + (-207)/(-81))*1681/123?
34
Calculate the remainder when 1335/5*(-4)/(-3) is divided by 180.
176
Let p(k) = -k**3 - 18*k**2 - 65*k + 19. What is the remainder when 188 is divided by p(-13)?
17
Let x = -3211 + 3328. Calculate the remainder when 816 is divided by x.
114
Let r = 1786 + -126. What is the remainder when r is divided by 11?
10
Let s(m) = -2*m**2 - 63*m + 234. Calculate the remainder when s(-34) is divided by 2.
0
Calculate the remainder when 8/(-36) - (-2383085)/657 is divided by 227.
222
Let g = 135 - 137. Let m be 1 - (-4)/(g + -2). Suppose l + 2 = m, -10*x - 3*l + 144 = -5*x. What is the remainder when 116 is divided by x?
26
Let n = -354 + 358. Suppose n*u + 1 = 65. Let r(h) = h**2 - 6*h + 8. Calculate the remainder when r(8) is divided by u.
8
Let m(d) = d**3 + 14*d**2 - 74*d + 4. Calculate the remainder when 361 is divided by m(-18).
1
Let s = 185 - 166. Let k(z) = -3*z**3 + z**2 + z + 1. Let u be k(-1). What is the remainder when -43*2*((-2)/u - 0) is divided by s?
5
Let i = 141 - 73. Suppose -i - 108 = -4*h. Let f = 20 - 5. Calculate the remainder when h is divided by f.
14
Suppose -11*g = -139 - 521. Suppose 0 = -7*b + g + 381. Calculate the remainder when b is divided by (-46 + 2)/(-2 - 0).
19
Suppose 24*n - 718 - 1508 = -82*n. What is the remainder when 4806 is divided by n?
18
Let s(v) = 104*v**3 + 7*v**2 + 2*v + 1. Let m be s(-1). What is the remainder when 685 is divided by 2 + m/(-7) + 0/(-2)?
13
Let l = 1226 - 898. What is the remainder when 986 is divided by l?
2
Suppose -19*g + 417005 = 416625. Suppose -3*w + 96 = -0*w + 3*o, 4*o + 88 = 2*w. What is the remainder when w is divided by g?
16
Let s(o) = -1 - 7 + 5*o**2 - 2*o**2 + 7*o - 2*o. Let g(n) = n**3 + 4*n**2 - 21*n - 58. Let a be g(-6). What is the remainder when 98 is divided by s(a)?
18
Let l(o) = 5 + 5*o - o**2 + 2*o + 0*o**2. Let i be l(7). Suppose 36 = 4*a - 5*g, -5*a = -4*g + i*g - 45. What is the remainder when a is divided by 2?
1
Suppose 3*o = -3*y + 177, y + 75 = 2*o - 34. Suppose 4*f - 478 = 3*u, 2*u = -f - 2*u + 129. Let d = o + f. Calculate the remainder when d is divided by 20.
17
Let g be (1/(-2))/(-2*(-1)/28). Let u = -20 - -40. Let r = g + u. Calculate the remainder when 46 is divided by r.
7
Calculate the remainder when ((-36955)/38)/((-25)/10) is divided by 9.
2
Let f(b) = 4*b + 62. Let a = 64 + -56. What is the remainder when f(a) is divided by 12?
10
Suppose 3*z = 4*f - 8*f + 21, -f + 54 = 4*z. What is the remainder when z is divided by 4?
3
Let u(c) be the third derivative of 2/3*c**3 + 0 + 0*c - 1/60*c**5 - 5/24*c**4 + 4*c**2 + 1/120*c**6. What is the remainder when u(5) is divided by 16?
15
Let f(z) = -8 + 683*z - 344*z - 340*z. What is the remainder when 5 is divided by f(-13)?
0
Let a(s) = -3*s + 38. Let i be a(5). Suppose i = j - x, 4*x = 2*j + 9*x - 81. Let b(u) = 3*u**2 - 8*u - 9. What is the remainder when b(7) is divided by j?
26
Suppose -15*y + 77 + 1332 + 2026 = 0. Calculate the remainder when 1090 is divided by y.
174
Suppose 8*s - 1611 = 613. Suppose 104 = -2*f + s. Let n = f + -59. What is the remainder when 110 is divided by n?
26
Suppose 0 = 18*w - 11*w - 2275. Suppose s + 0*b + 2*b = 79, 4*s - b = w. What is the remainder when s is divided by 17?
13
Let j(v) = v - 13. Let p be j(12). Let c = p - -8. Suppose -c*s + 135 = -26. Calculate the remainder when s is divided by 6.
5
Suppose 3*h = 5*h - 86. Suppose 2*f = 5*q - f - 86, -5*q - 3*f + 104 = 0. Calculate the remainder when h is divided by q.
5
Let w(u) = -2*u**3 - u**2 + u. Suppose 21 = 16*q + 85. What is the remainder when w(q) is divided by 14?
10
Suppose -139*x + 10758 = -128*x. Suppose 10*t - l = 15*t - x, 792 = 4*t + 4*l. What is the remainder when t is divided by 29?
21
Suppose -w - 18 = -7*w. Suppose -3*o + 71 + 31 = 4*u, -3*u - 102 = -w*o. Suppose 0 = h - 17 + 8. Calculate the remainder when o is divided by h.
7
Let i be (-3 + 5)/(2/(-5)). Let b be 209 - 0*1/i. Suppose 3*g - 128 - b = 2*z, -3*g + 341 = -z. Calculate the remainder when g is divided by 29.
28
Let s(u) = 3*u**3 - u**2 - 133*u + 403. Calculate the remainder when s(14) is divided by 47.
44
Let i(m) = -m + 2. Let q be i(-2). Let s = 0 + q. Suppose -4*y - 738*f + 741*f + 70 = 0, 83 = 5*y - 3*f. Calculate the remainder when y is divided by s.
1
Let j(a) = -a**2 + 4*a - 144. Let c be j(0). Let k = c + 183. Suppose 2*z - 3*z = 3*n - 13, -5*z - 2*n = -52. What is the remainder when k is divided by z?
9
Let d = -12476 - -12658. Calculate the remainder when d is divided by 3.
2
Suppose 5*a + 80 = 2*n, 0 = -0*n - 3*n + 3*a + 129. Let m(f) = 2*f + 22. What is the remainder when n is divided by m(-7)?
5
Let t = -29 + 537. Suppose 0 = -12*a + 476 + t. What