-9).
8
Suppose 72*i - 64*i + 968 = 0. Let k = i - -176. Calculate the remainder when k is divided by 17.
4
Let v = -90 + 299. Let z(i) = i**2 - 700*i - 9871. Let r be z(-14). Let c = v - r. What is the remainder when c is divided by 29?
26
Suppose h + 2*t = 2*h + 18, -4*h + 2*t - 90 = 0. Let z = 28 + h. Suppose 277 = z*m - 199. What is the remainder when m is divided by 15?
14
Let v(q) be the second derivative of 5*q**4/12 - 8*q**3/3 - 61*q**2/2 - 135*q + 2. Calculate the remainder when 91 is divided by v(-3).
27
Let h(g) = g**3 - 2*g**2 - 5*g + 15. Let v = 445 - 443. Calculate the remainder when 43 is divided by h(v).
3
Suppose -8*y = -55 - 169. Calculate the remainder when 1846 is divided by y.
26
Let u be (11/5 - 2) + (-1128)/(-235). Suppose -u*k - c + 2876 = -3*c, 4*c = 8. What is the remainder when k is divided by 17?
15
Let h(g) = -4801*g + 29081. What is the remainder when h(6) is divided by (1 - (-3 - -27))*-3?
68
Calculate the remainder when (-68)/(-2) - (-8 - 4) is divided by 27.
19
Let o = -201 + 269. Calculate the remainder when o is divided by 30/(-9)*36/(-8).
8
Suppose -89*p + 87*p = -82. Suppose 0 = u - 4*j - p, u = -0*j + 3*j + 37. Let n = 287 - 164. Calculate the remainder when n is divided by u.
23
Suppose -5*u = -4*u + 3*v - 92, -v + 516 = 5*u. Let p = -147 + 143. Calculate the remainder when u is divided by (4/((-8)/(-21)))/((-2)/p).
20
Let g(q) = 4*q - 100. Let a be g(27). Suppose -2*z + a = 4, r + 4*z = 88. Calculate the remainder when r is divided by 0 + 9 + 0/(-2).
8
Let n(u) = -59*u + 1677. What is the remainder when 421 is divided by n(28)?
21
Let f = 630 - 594. Let x(s) = s**2 - 33*s + 11. What is the remainder when x(f) is divided by 40?
39
Suppose y = -2*p + 1, 0*p = 2*p + 10. Let h(z) = -86*z - 615. Calculate the remainder when h(-8) is divided by y.
7
Let u be 2*39*3/18. Let v(h) be the second derivative of h**5/20 - 7*h**4/6 + 13*h**3/6 + 17*h**2/2 + 15*h. What is the remainder when 30 is divided by v(u)?
13
Let a be -2 + -3 - (-6928)/16. Let r = 442 - a. Calculate the remainder when 138 is divided by r.
12
Let o(r) = -2*r - 34. Let z(d) = -d**3 - 6*d**2 - 4*d + 4. Let k be z(-4). Let n be o(k). What is the remainder when 2/(-4) + (-1215)/n is divided by 25?
21
Let r be (8*(-14)/56)/((-4)/(-56)). Let k be 2/((2/(-12))/1). Let y = k - r. What is the remainder when 63 is divided by y?
15
Let j(a) = 17*a**2 - 8*a - 7. Suppose 15*v = 20*v + p + 8, 0 = v - 3*p - 8. Calculate the remainder when 12/((4/10)/1) is divided by j(v).
12
Let k(h) = -h**3 + 51*h**2 - 138*h - 272. What is the remainder when k(47) is divided by 100?
78
Suppose -3*s + 7*s - 36 = 0. Suppose -8*u - 4 = -s*u. What is the remainder when 54 is divided by u?
2
Let a(h) = h + 5. Let j(o) be the second derivative of o**3/3 + 8*o**2 - 5*o. Let r(f) = -10*a(f) + 3*j(f). Calculate the remainder when 28 is divided by r(-3).
8
Suppose -6*h + 2783 = 989. Let m = 8212 + -8162. Calculate the remainder when h is divided by m.
49
Suppose 19294 = 131*q - 109*q. What is the remainder when q is divided by 80?
77
Suppose 44*y - 39031 - 127 = 17030. Calculate the remainder when y is divided by 71.
70
Let v = -4700 + 4783. Calculate the remainder when v is divided by 37.
9
Suppose 645*t + 6630 = 675*t. What is the remainder when t is divided by 28?
25
Let g = -4883 + 5773. What is the remainder when g is divided by 126?
8
Suppose -193*q - 27*q + 26180 = 0. What is the remainder when 431 is divided by q?
74
Suppose 5*n + 5*p - 769 = 2621, -4068 = -6*n + 2*p. Calculate the remainder when n is divided by 56.
6
Suppose 3*q = 2*x + 20, 15*q = 4*x + 36 + 40. Calculate the remainder when 340 is divided by q.
0
Let z be (-22)/(-77) + (-40)/(-7). Suppose 5*w - 4*s - 677 = -131, -w - 5*s = -115. Calculate the remainder when w is divided by (z*20/(-90))/((-1)/21).
26
Let d(p) = p**3 + 18*p**2 - 22*p - 38. Calculate the remainder when (6660/16)/9 - (-1)/(-4) is divided by d(-19).
8
Let v = 80 + -73. Suppose 3*a = v - 19. What is the remainder when 65 is divided by (-94)/a - 9/18?
19
Let q = 3224 + -3181. Calculate the remainder when 1475 is divided by q.
13
Suppose 977*j - 5880 = 732*j. What is the remainder when 735 is divided by j?
15
Suppose 469*h = 453*h + 1648. Calculate the remainder when 2880 is divided by h.
99
Let b = 71 + -64. Suppose -236 = -3*q + 4*n, -2*n = 5*q - b*q + 160. What is the remainder when q is divided by (22/3)/((-1)/(-3))?
18
Suppose 170 = 25*s - 20*s. Let a = s + -20. Suppose p - a = -1. Calculate the remainder when 51 is divided by p.
12
Let z(g) = -g**3 + 5*g**2 + 11*g. Let h be z(7). Let k = h + 139. Suppose 7*t - k = 92. Calculate the remainder when 84 is divided by t.
24
Let q(c) be the third derivative of -6*c + c**2 + 0 + 13/6*c**4 + 2/3*c**3. Calculate the remainder when q(1) is divided by 12.
8
Let i = -25847 + 25896. Calculate the remainder when 46842 is divided by i.
47
Suppose 725 = 5*i + 2*r + r, 0 = -i + 4*r + 122. Suppose 199*w = 128*w + 2627. Calculate the remainder when i is divided by w.
31
Let z be (-10584)/(-15) + 0 + (-46)/(-115). Suppose 3*j - z = 2*h, j - 89 - 149 = 2*h. Calculate the remainder when j is divided by 63.
45
Suppose 63673 - 376857 = 17*p - 33*p. What is the remainder when p is divided by 225?
224
Let m(a) = -6*a - 28. Let p be m(-4). Let k(c) = -28*c + 8. Calculate the remainder when k(p) is divided by -1 - 3*-14*1.
38
Suppose 2*k = 6*k - 3*k - 14. Suppose 2*j - 2*w - 3*w - 59 = 0, -5*w - 25 = 0. What is the remainder when j is divided by k?
3
Let r be (-741)/(-143) + (-1)/((-22)/(-4)). Let s = r - -6. Let a = s - -140. Calculate the remainder when a is divided by 22.
19
Let f = -524 - -783. Suppose -s = -45 - 20. Calculate the remainder when f is divided by s.
64
Suppose 434*j = 424*j + 2420. Let q = j + -180. Let r = -75 + 108. Calculate the remainder when q is divided by r.
29
Suppose 34*c - 9994 + 52218 = 138*c. Calculate the remainder when c is divided by 47.
30
What is the remainder when 47 is divided by (464/(-522))/(6/(-243))?
11
What is the remainder when (-16384)/(-26) + 1 - (-77)/(46046/(-92)) is divided by 28?
15
Let z = 51 + -17. What is the remainder when z is divided by (744/434)/(3 - 57/21)?
4
Let x(j) = j**3 + 9*j**2 - 247*j + 43. What is the remainder when x(15) is divided by 84?
58
Let r = 42 + -31. Let o(b) = b**3 - 9*b**2 - 19*b. Calculate the remainder when o(r) is divided by 21.
12
Let y(n) = 2*n**2 - 240*n + 2777. Calculate the remainder when y(115) is divided by 273.
262
Let u(c) = -4*c - 13. Suppose 8*q + 6*q + 42 = 0. Let m be u(q). What is the remainder when (1/(-1) - (0 - 53)) + m is divided by 19?
13
Suppose 0 = 2*h + 2*u - 698, 5*h + 4*u - 702 = 3*h. Calculate the remainder when h is divided by 44.
39
Let a be (6/10*-3)/(27/(-135)). Suppose -5*u = -a*u + 552. Calculate the remainder when u is divided by 41.
15
Let w = 141 - 145. What is the remainder when (129/(-3))/(w + 3) is divided by 15?
13
Let j = 20 - 9. Let y = j - -30. Let f = 35337 + -35135. What is the remainder when f is divided by y?
38
Let j = 21941 - 21578. What is the remainder when j is divided by 193?
170
Suppose 5*v = -5*c + 515, 5*c = 3*c. Let k = 12840 - 12832. What is the remainder when v is divided by k?
7
Let c(j) = 32*j**2 + 62*j + 526. Calculate the remainder when 11166 is divided by c(-11).
18
What is the remainder when (-846)/(-987)*((-1)/1 + 1324) is divided by 60?
54
Let b be (9/(-6))/(4/(-8)). Suppose 2*f + 3*r - 10 = 5, 3*f - b*r = 0. Suppose -3*l + 282 = f*l. Calculate the remainder when l is divided by 25.
22
Suppose 8*o + 14 = -10. Let k be (0 + -1)/(o/6). Let b = 8 - k. Calculate the remainder when 40 is divided by b.
4
Suppose -4*r + 3*u + 3355 = 0, 5*r - 6*u - 4190 = -u. Let q = r - 605. What is the remainder when q is divided by 48?
44
Let c = -14939 - -15006. What is the remainder when 544 is divided by c?
8
Let v be (-2 + -7)/(-3) - 3536/13. Let c = -133 - v. Suppose 4*a = -4*g + c, 0*g - 4*a - 44 = -g. What is the remainder when g is divided by 20?
16
Suppose 15*a = m + 12*a - 183, 0 = -a. Suppose 120 = 3*u - 3*k, 0 = 3*u - 0*k + k - 108. What is the remainder when m is divided by u?
35
Let b(n) = -16*n + 86. Let j be b(9). Let m = j - -74. What is the remainder when m is divided by ((-18)/5)