6
Calculate the remainder when (-1)/3 + -80*(-1014)/9 is divided by 23.
20
Suppose 3*g = 4*d - 607 + 4, g = -4*d + 567. What is the remainder when 10077 is divided by d?
141
Let b(w) = 2*w**2 - 9*w + 26. Let v be ((-132)/88)/(2/(-4)). Calculate the remainder when 46 is divided by b(v).
12
Suppose -449 - 286 = 35*j. Let l(i) = i**3 + 20*i**2 - 26*i + 41. What is the remainder when l(j) is divided by 15?
11
Let h(s) = 14*s**2 - 23*s - 9. Calculate the remainder when h(-4) is divided by 107.
93
Let a = 948 - 935. Let f = -10 + 21. Calculate the remainder when a is divided by f.
2
Suppose -6*w = -9*w + 2274. Suppose 0 = -13*q + 478 - 231. What is the remainder when w is divided by q?
17
Suppose k = -k + 4*f - 136, -2*k - 5*f = 100. Let s be k*((-18)/(-15))/(-3). Let i = s - 6. What is the remainder when i is divided by 6?
0
Calculate the remainder when ((-57)/133 + (-8)/14)*-26245 is divided by 22.
21
What is the remainder when (((-1080)/25)/18)/((-3)/625) is divided by 62?
4
Let j be 991/2 + 75/(-50). Suppose 380 = 4*k + 4*m, -j = -5*k - 4*m - 21. Calculate the remainder when k is divided by 30.
3
Let i(x) = -13*x - 14. Let z be i(-35). Let d = -391 + z. Calculate the remainder when d is divided by 13.
11
Let c(d) be the third derivative of -d**5/60 + 5*d**4/8 - 8*d**3/3 - d**2 - 11. Let h = -26 + 43. What is the remainder when h is divided by c(13)?
7
Let a(z) = -z + 1. Let f(n) = -n + 3. Let j(r) = -2*a(r) + f(r). Let t = -2677 + 2709. Calculate the remainder when t is divided by j(11).
8
Suppose 3*z + 123 = 4*z + 50. What is the remainder when z is divided by 17?
5
Let a = 18 - -7. Let p = -14 - -24. Suppose p*z - 13*z = -285. What is the remainder when z is divided by a?
20
Let f(l) = l**2 + 3*l - 3. Let u be f(-3). Suppose 2*a - 3*q - 112 = 0, 4*a - 169 = q + 65. What is the remainder when a is divided by (-1 + 0)*15*(u - -1)?
29
Let w(p) = -26*p - 113. Let m be w(-5). Suppose m - 5 = 6*k. Calculate the remainder when 3 is divided by k.
1
Let m be -1*6/10*(-25 - -100). Calculate the remainder when 164 is divided by 1 + m/35 + (-5900)/(-70).
80
Suppose 5*k = 5*a, -2 - 43 = -4*k - 5*a. Let q be ((-856)/20)/2 + 2/k. Calculate the remainder when 7/q - (-84)/9 is divided by 4.
1
Let c = -49 + 49. Suppose c*d - 2*v + 42 = -2*d, -5*v = -3*d - 71. Let b = 48 + d. What is the remainder when b is divided by 18?
13
Let i = -154 + 170. Suppose -9*b = -i - 38. What is the remainder when 21 is divided by b?
3
Suppose 0 = -3*x - x + 204. Suppose 0 = -5*o - 347 - 3. What is the remainder when x is divided by (-4)/14 + (-1280)/o?
15
Let j be (-2)/(0 + 7/(-7)). Suppose -2*y - 42 = -2*l, l + j*y - 22 + 16 = 0. What is the remainder when 125 is divided by l?
13
Suppose 1763 = 422*s - 379*s. What is the remainder when 694 is divided by s?
38
Let r be (20/(-3))/(-4 + 1060/270). Suppose 105 = 13*c - r. Calculate the remainder when c is divided by 9.
6
Suppose 0 = 2*u - 5*y - 2281, 8*y = u + 4*y - 1136. Suppose z = -z - u. Calculate the remainder when (-22)/33 - z/6 is divided by 24.
23
Let z = -3899 + 3843. Let n be 1/((-1)/45 - 0). Let a = n - z. Calculate the remainder when 30 is divided by a.
8
Let x(l) = -l**2 + 16*l - 31. Let t be x(13). Suppose 3*v - 13 = t. Suppose 3*s + 248 = v*s. What is the remainder when s is divided by 22?
18
Suppose 20*z - 88 = 112. Suppose 7789 = z*l + 519. What is the remainder when l is divided by 73?
70
Let q(t) = -3*t**2 + 3*t + 36. Let k be q(0). Suppose -528 = -47*c + k*c. Let d = 32 - -109. What is the remainder when d is divided by c?
45
Suppose -61*a + 1023 = -30*a. Suppose -k = -2*t + 39, a = 2*t - 3*k + 8*k. Calculate the remainder when 493 is divided by t.
18
Let o = 57 - -5. Let k = -63 + o. Let q = k - -3. Calculate the remainder when 6 is divided by q.
0
Suppose -862 = -5*a + 17*i - 19*i, 1715 = 10*a - 5*i. What is the remainder when 1372 is divided by a?
168
Let o(j) be the first derivative of -j**4 - j**3/3 - 2*j**2 - 14*j - 87. What is the remainder when o(-4) is divided by 27?
26
Let i(f) = -182*f - 4663. What is the remainder when 529 is divided by i(-27)?
27
Let z be (-15696)/(-109)*(-30)/(-8). What is the remainder when 174 is divided by (-18)/8*z/(-81)?
9
Let q be 1/(3/117*1). Let j = q + -27. Suppose 2*y - 104 = 3*d, -5*y + 250 = -12*d + 7*d. Calculate the remainder when y is divided by j.
10
Calculate the remainder when 1573 is divided by (608/2660 - (-3)/15) + (-522)/(-7).
73
Let w(b) = 2*b**2 + 66*b + 555. What is the remainder when 227 is divided by w(-16)?
7
Let j(c) = -c**3 + 7*c**2 + 21*c - 15. Suppose -13*z + 1070 = -3*z. Calculate the remainder when z is divided by j(9).
11
Suppose 1164 = 2*k + 2*c, -5*c = -84 + 49. Calculate the remainder when k is divided by 177.
44
Let l(u) = 187*u + 11179. Suppose -4 = 5*q - 44. What is the remainder when l(-58) is divided by q?
5
Let l be (-2)/(-18) - (-442)/234. Calculate the remainder when 109 is divided by (33/6)/(l/(-60)*-3).
54
Let y(v) = 3*v**3 - 3*v**2 + 5*v - 34. Calculate the remainder when y(5) is divided by 49.
46
Let g = -39106 + 39150. Let j(k) be the first derivative of -k**4/4 - k**3/3 + 4*k**2 - 3*k - 1. What is the remainder when j(-6) is divided by g?
41
Suppose 47*a - 6687 = -2269. What is the remainder when a is divided by (103 - 3)/4 + 2?
13
Suppose 3*r + r - 2*f - 226 = 0, -46 = -r - f. Calculate the remainder when 93 is divided by r.
40
Suppose -5*r + 66 = 2*o, 0 = -1445*r + 1446*r + o - 9. Let b(z) = -z**2 + 4*z. Let t be b(3). Calculate the remainder when r is divided by (1 + 0)/(1/t).
1
Let a be (-1)/1*(-8 - 8 - -552). Let j = a + 552. What is the remainder when 23 is divided by j?
7
Let a(g) = g**2 + 8*g - 1335. Calculate the remainder when 2770 is divided by a(33).
16
Suppose 66*p + 30110 = 89246. Calculate the remainder when p is divided by 440.
16
Let n = 6 - 5. Let o(f) = 140*f**2 - 5*f + 3. Let k be o(n). Suppose 8*c = 10*c - k. Calculate the remainder when c is divided by 25.
19
Suppose -4*d + 6*d = -4*o + 78, 0 = 2*d - 2. Let l = -40587 - -40984. Calculate the remainder when l is divided by o.
17
Suppose -4*w = -0 + 4. Let u(q) = -488*q**3. Let x be u(w). Let r = x + -319. What is the remainder when r is divided by 43?
40
Suppose 71 = -30*s + 31*s - 2*x, 2*s = -3*x + 107. Let t(f) = f**2 - 6*f - 3 + 7*f**2 + 0*f - 6*f**2. What is the remainder when s is divided by t(6)?
28
Suppose m = 2*v + v - 31, -4*v - 98 = 5*m. Let d be 2/m*46 - (-10)/55. Calculate the remainder when 111 is divided by (133/(-2))/7*d.
35
Suppose -1466*f = -1421*f - 11295. What is the remainder when f is divided by 244?
7
Let d(g) = 179*g - 5271. Calculate the remainder when 522 is divided by d(31).
244
Suppose -241*w + 32822 = -48877. Calculate the remainder when w is divided by 23.
17
Let z = 14585 + -7018. Calculate the remainder when z is divided by 8.
7
Let o = 22488 - 22133. Calculate the remainder when o is divided by 65.
30
What is the remainder when (5*3/30)/((-3)/3696*-4) is divided by 77?
0
What is the remainder when -6*(-279 + 15) + 13 is divided by 123?
121
Let i(r) = 4*r**2 - 30*r - 206. Calculate the remainder when i(-9) is divided by 108.
64
Suppose 8 = -6*f - 10. Let z be (-4)/(-3 + (-7)/f). Suppose 0 = 4*y + 16, 2*j + y - 54 + z = 0. Calculate the remainder when 74 is divided by j.
22
What is the remainder when -4*(30/8)/5*6012/(-108) is divided by 32?
7
Let r = -7 - -16. Suppose 3*x + r = -0*x, 0 = 3*q + 3*x - 9. Let h(b) = 5*b - 12. What is the remainder when 50 is divided by h(q)?
14
Suppose 1088 = 50*h + 38. Suppose 155 + 235 = -5*q + 5*j, -330 = 4*q + 2*j. What is the remainder when 0/2 - 1 - q is divided by h?
17
Suppose 7*z = 3*z + 128. Suppose 4*f - z - 120 = 0. Suppose 0 = 2*v - 2*q - 15 - 7, -3*v = -5*q - 29. Calculate the remainder when f is divided by v.
12
Calculate the remainder when 864 is divided by (-158)/5*-3*(-6)/(180/(-25)).
74
Let s = 1045 - 1013. Suppose -s*x + 15915 = 6379. Calculate the remainder when x is divided by 75.
73
Let a be -5 - 4/12*-237. Suppose p - a = j, 0 = p + p - 3*j - 153. Calculate the remainder when p is divided by 6.
3
Let w be -1 - -3 - (45 - 46). Suppose 5*p - 5*m - 135 = 0, -2*p - w*m - 4 = -58. Calculate the remainder when p is divided by 12.
3
Calculate the remainder when 0/(24 - 34) + (-29