0 = -3*d - 3*v + 45, -v + 66 = 3*d - 5*v. What is the remainder when g is divided by d?
7
Let i(n) = n**3 - 12*n**2 + 3. Let j be i(12). Suppose 0 = 4*v + 8, -3*r - 31 - 8 = j*v. Calculate the remainder when (-1 - r)/(4/14) is divided by 3.
2
Let n be -2 + -1*(0 - (1 + 6)). Suppose w = 2*a - 41, n*a - 9*a - 2*w = -86. Calculate the remainder when 1/((-146)/74 - -2) is divided by a.
16
What is the remainder when 415 is divided by 730/(-6)*((-3828)/(-165) - 25)?
196
Let r be (-38)/2*(3 + -2). Let t = 24 + r. Calculate the remainder when 5*3/5*t is divided by 9.
6
Let y = -23606 + 23660. What is the remainder when 1863 is divided by y?
27
Let b be (-28)/(-21) - (-4)/(-3). Suppose 4 = 2*h - b. Suppose 4*f = -h*j + 18, 3*j + 3 - 10 = -f. Calculate the remainder when 8 is divided by f.
0
Suppose 41*w + 8*w - 1795 = 361. Calculate the remainder when 1621 is divided by w.
37
Suppose -5*i + 20 = 0, -4*q = -18*i + 21*i - 1024. What is the remainder when q is divided by 15?
13
Suppose -4*z + 773 = -q - 2*q, -z + q = -193. What is the remainder when 1143 is divided by z?
173
Let d = 137429 - 137418. What is the remainder when 3 + -2 - (0 + -53) is divided by d?
10
Suppose 4381 - 5716 = -146*r + 14287. Calculate the remainder when 210 is divided by r.
103
What is the remainder when 192/(-2400) - (-49452)/25 is divided by 20?
18
Suppose 2*s - w - 1849 = 0, -4*s = -22*w + 25*w - 3723. What is the remainder when s is divided by 30?
27
Let z = 207 + -158. Suppose -324 = -z*g + 1097. Calculate the remainder when 81 is divided by g.
23
Let a(m) = -4*m - 17. Let t(h) = 3*h + 18. Let p(v) = 2*a(v) + 3*t(v). Let q be p(-12). What is the remainder when (2 - q/(-4)) + 50 is divided by 14?
12
Let g(b) = -b**3 - 105*b**2 + 101*b - 270. What is the remainder when g(-106) is divided by 64?
4
Suppose 165 = 2*n - 59. Calculate the remainder when 144 is divided by n.
32
Let p = 1508 - 1384. Calculate the remainder when p is divided by 40.
4
Let r = 20 - 24. Calculate the remainder when 32 is divided by ((-38)/5)/(r/10).
13
Let s = 253 - 100. Let m(j) = 2*j**2 + j - 7. Let g be m(2). Suppose 5*h + 44 = 3*q + g, 4*h = 5*q - 90. What is the remainder when s is divided by q?
21
Suppose 26*i - 110175 = 9*i + 88912. What is the remainder when i is divided by 217?
210
Let t(b) = 25*b**2 + 21*b - 106. Calculate the remainder when t(10) is divided by 15.
9
Suppose 0 = 4*t - 2*w + 40, -t + w - 50 = 4*t. Let r(d) = -d**3 - 11*d**2 - 15*d - 12. What is the remainder when 74 is divided by r(t)?
36
Let x = -147 - -149. Calculate the remainder when 33 is divided by x + (-4 - (-20 - 1)).
14
What is the remainder when 1141 is divided by 554 - (102/(-6) - -9)?
17
Let r(i) be the third derivative of -i**4/12 + 7*i**3/2 + 2*i**2. Let p be r(7). Suppose 0 = -5*k + p*k - 48. What is the remainder when 119 is divided by k?
23
Suppose 24*m - 70 = 2. Let h(g) = 23*g - 32. Calculate the remainder when h(m) is divided by 6.
1
What is the remainder when (32/(-3) + -1)/(1/(-49 + -20)) is divided by 56?
21
Suppose -5*y + 4828 = 2*q, 0 = -5*y + 11*q - 7*q + 4804. Calculate the remainder when y is divided by 121.
117
Let t(h) = -7*h + 7. Let l = 386 + -383. Suppose -l*u = -22*u + 475. What is the remainder when t(-6) is divided by u?
24
Suppose 16*c - 5700 = -17*c + 65514. Calculate the remainder when c is divided by 127.
126
Calculate the remainder when ((-6)/(-1))/1*(-2 - (-14990)/60) is divided by 24.
23
Let b be (19/5 - 3)*5. Suppose 3*h - v = 64, 2*v - 102 = -b*h - 0. Let q = -178 + 190. Calculate the remainder when h is divided by q.
11
Let y = -97 - -99. Let p = 10 - 1. What is the remainder when p is divided by y - ((-12)/(-15))/((-5)/25)?
3
Let w = -86089 + 86150. Let z = 30 - 101. Let h = z + 103. Calculate the remainder when w is divided by h.
29
Let q(r) = -r + 29. Let l be q(25). What is the remainder when 153/2 - 2/(-4) is divided by 3/(l + (-22)/4) - -22?
17
Let l(n) be the first derivative of -n**2 + 40*n - 22. Let g be l(12). Let j(x) = x**2 - 13*x + 16. What is the remainder when j(g) is divided by 22?
20
Suppose -16 = -2*g - 4*w, -2*g + 21 - 2 = 5*w. Let u be g*(-14 + 3) - -4. Let z = u - -27. What is the remainder when z is divided by 6?
3
Let m = 47 - 27. Suppose 19*o = 4*o - 3*o + 2034. Calculate the remainder when o is divided by m.
13
Suppose -2*i - 267 + 635 = -4*n, -5*i = 5*n - 1010. What is the remainder when 963 is divided by i?
179
Suppose 0 = -22*u + 2*u + 60. Suppose -3*g = -2*m - 135, 21*g + u*m - 150 = 18*g. Let a = 3 + 7. Calculate the remainder when g is divided by a.
7
Let z(a) = 246*a**2 + 50*a + 52. Calculate the remainder when z(-1) is divided by 29.
16
Suppose 8 = 2*k, -16*u + 4*k - 6*k = -1544. Calculate the remainder when 668 is divided by u.
92
Suppose 0 = -3*n - k + 53, 4*k = -5*n + 2*k + 89. Let t(i) = -2*i - 14. Let o be t(-20). Let q = o - 19. Calculate the remainder when n is divided by q.
3
Let t(l) = -7802 - 3*l**3 - 5*l**2 + 0*l**3 + 7801 - 14*l. What is the remainder when t(-4) is divided by 24?
23
Let u(l) = 10*l**2 - 11. Let s(c) = -23*c**2 + c + 23. Let t(k) = 6*s(k) + 14*u(k). What is the remainder when t(-12) is divided by 48?
8
Suppose -j + 2*r = -241, -j + 2*r + r + 245 = 0. Calculate the remainder when j is divided by (-5 + (66/12 - 0))*-14 + 27.
13
Suppose -5*u - h + 99 = 0, -4*u + 68 = -0*h - 2*h. Let t = -70 + 105. What is the remainder when t is divided by u?
16
Calculate the remainder when ((-5578)/(-36)*-2)/((-1)/9) is divided by 62.
61
Let a = 1620 + -1611. What is the remainder when 11 is divided by a?
2
Let r = 94 + -130. Let m = r - -40. What is the remainder when 22 is divided by (-138)/(-23) - m/2?
2
What is the remainder when 234 is divided by (-2 - 136/(-51))*36?
18
Suppose -29*a - 3367 = -11922. Calculate the remainder when a - 1 - (62 + -60) is divided by 21.
19
Let d be (5 - 40)/(-5)*-1. Suppose -2*v + 72 = -6. Calculate the remainder when v is divided by 18/42 - 144/d.
18
Suppose -431 = -2*q - 75. Suppose 2 = -4*x - r, 12 - 4 = -4*r. Suppose x = 10*i + 16*i - 936. Calculate the remainder when q is divided by i.
34
Let z = 73 - 33. Suppose -k + 38 = 3*h - 10, 2*h + 2*k = 28. Calculate the remainder when 128*5/z*4 is divided by h.
13
Suppose -w = -z + 95, -5*w + z - 3*z - 461 = 0. Let f = w - -87. What is the remainder when 906/4 - f/(-4) is divided by 38?
35
Suppose 33 - 3 = 3*z. Let a(y) = -3*y**2 - 21*y + 22. Let u be a(-14). Calculate the remainder when (19 + -18)/((-2)/u*4) is divided by z.
4
Let g = 41 + 28. Calculate the remainder when g is divided by 1 + -3 - ((-100)/150 + (-152)/6).
21
Suppose -9*p + 19343 = -9169. Suppose 18*l - p = -6*l. Calculate the remainder when l is divided by 34.
30
Calculate the remainder when (-72)/108*-3*1 - -291 is divided by 71.
9
Let g(q) = -14*q**2 - 81 + 11*q**2 + q**2 + q**2 - 22*q. What is the remainder when 323 is divided by g(-9)?
35
Suppose -8*x - 176 = -6*x. Let h = -91 - x. Calculate the remainder when 13 is divided by (-150)/(-25)*(-1)/h.
1
Suppose -3*i + 0*b - 4*b + 563 = 0, -i + 6*b = -195. What is the remainder when i is divided by 51?
36
Let z(c) be the first derivative of 10*c**3/3 - 3*c**2/2 + 7*c - 10. Let q be z(3). Let n = 102 - q. What is the remainder when 31 is divided by n?
3
Suppose 4*d + 3*a = 3*d + 26, 2*a + 2 = 0. Suppose -32*p = -d*p - 21. Suppose -12*o + 8*o = -48. What is the remainder when o is divided by p?
5
Suppose o - 165 = -2*f, 0*f - o = f - 85. Suppose 0 = 4*y + 4*j - 152, -4*y = -6*y - j + f. What is the remainder when 76 is divided by y?
34
Suppose 5*c - 11 = -4*r + 12, 0 = c + 1. Let v(n) = -17*n + 135. What is the remainder when v(7) is divided by r?
2
What is the remainder when 2094 is divided by (-17 + 1106/70)/(1/5) - -697?
21
Let g be 9/(355/(-120) + 3). Suppose 141*w - 145*w + g = 0. What is the remainder when w is divided by 28?
26
Let d be 1160/15*(0 - 135/(-20)). Suppose i = 5*k + 198, -3*k + d = 4*i - 247. Let w(y) = -5*y + 4. What is the remainder when i is divided by w(-7)?
37
Let x = 6 - 2. Suppose 5*q - 67 = -5*y + 83, 5*y - x*q = 141. Calculate the remainder when y is divided by 24/(-20)*7/(21/(-20)).
5
Suppose 3*l = 17 - 8. Suppose -3*h = -l*z - 47 - 37, -3*z = -h + 24. What is the remainder when 0 + 0 - (-124 - 23) is divided by 