6
Suppose -245 = -5*m - 194*l + 195*l, -3*l = -15. Calculate the remainder when m is divided by 17.
16
Let b = -498 + -58. Let t = 585 + b. What is the remainder when t is divided by 10?
9
Let x = -606 - -738. What is the remainder when 276 is divided by x?
12
Suppose 24*s + 15 = 25*s. Suppose 141 = s*c - 309. Calculate the remainder when 39 is divided by c.
9
Let a(n) = 7*n - 29. Suppose -7*h = -8*h + 8. Let f(z) = z**2 - 4*z - 25. Let b be f(h). What is the remainder when 77 is divided by a(b)?
17
Let a be 1767/2 - ((-180)/24 - -7). Let x = a + -815. Calculate the remainder when 893 is divided by x.
65
Let k(n) = -37*n**2 + 95 + 12*n**2 + n**3 - 22*n - 31*n. Calculate the remainder when k(27) is divided by 22.
12
Suppose j + 2 = 6. Suppose 44 = 9*p - 10. What is the remainder when j is divided by (7/(-14))/((-1)/p)?
1
Let u(c) = 9*c - 39. Let l be u(16). Let j = l - 74. Let y = 254 - 101. Calculate the remainder when y is divided by j.
29
Let o = 293 - 290. Calculate the remainder when -80*o*(-14)/105 is divided by 13.
6
Suppose 226*m - 223*m = 984. Calculate the remainder when m is divided by 66.
64
What is the remainder when (174/8)/29*932 is divided by 90?
69
Calculate the remainder when 10493 is divided by (-328)/(-44)*1133/206.
38
Let x(b) = -77*b + 1115. What is the remainder when x(13) is divided by -3 - -41 - (-2)/2?
36
Let r = 55 - 23. Suppose y = 78 + 9. Suppose -3*f + y = 2*f + g, -3*f + 3*g + 45 = 0. What is the remainder when r is divided by f?
15
Suppose 3*z - 3*c = 731 - 95, 3*z - c = 646. Suppose 14*h = 12*h + 40. Calculate the remainder when z is divided by h.
17
Suppose -5*o - 2*m + 6149 = 0, -2*m + 17 = 13. What is the remainder when o is divided by 77?
74
Let v(o) = -o + 36. Let m be v(0). Let q be (-88)/3 + 12/9. Let n = m + q. What is the remainder when 38 is divided by n?
6
Let r(f) = 5*f + 64. Let m be r(-12). Suppose m*v + 2*b - 4*b - 126 = 0, -v + 24 = -2*b. Calculate the remainder when v is divided by (19/4)/((-1)/(-4)).
15
Let h = 303 - 297. Suppose -5*y - m - 212 = -10*y, 3*m = -h. What is the remainder when y is divided by 34?
8
Let m(d) be the third derivative of -d**5/30 - 23*d**4/24 - 9*d**3/2 - 63*d**2. Calculate the remainder when 71 is divided by m(-8).
13
Calculate the remainder when 667 is divided by 1788/33 + (-68)/374.
19
Suppose -9*i = -10*i - 1. Let o be (-5 + 22 - i) + 4. Suppose p - 58 + o = 0. Calculate the remainder when p is divided by 10.
6
Suppose 4*a = 4*y + 36, -3*a + 5*y + 13 = -20. Let r be a*(-27)/12*2*-2. Let u = r + -21. Calculate the remainder when u is divided by 19.
14
Suppose -4*a = -4*w + 1780, 3841*w + 1784 = 3845*w - 5*a. Calculate the remainder when w is divided by 26.
25
Let s(u) = -u**3 + 106*u**2 + 229*u - 1019. What is the remainder when s(108) is divided by 43?
41
Let n be (18/2)/(42/(-252)). Calculate the remainder when 121 is divided by ((-144)/n - 2)/(1/24).
9
Suppose -4*f = 14*f - 324. Let i be 4/3 + (-6)/f*1. Suppose -i = 9*m - 289. Calculate the remainder when m is divided by 10.
2
Suppose -n - 171 = -4*n. Suppose 973*k - 978*k = 5*v - 2595, 0 = -4*k - v + 2049. What is the remainder when k is divided by n?
54
Suppose -372 = -2*d - 2*a, -d - 2*a + 33 = -150. Calculate the remainder when 597 is divided by d.
30
What is the remainder when 10/65 + (-1192)/26*-1 is divided by 36?
10
Suppose -2*l + 362*g = 360*g - 24, 5*l - 3*g = 66. What is the remainder when 938 is divided by l?
8
Let c = -133 - -148. Calculate the remainder when 66/(-22) - c*-1 is divided by 5.
2
Let c(d) = -22*d**3 - 3*d**2 + 2. Let t be 2*8/(-12)*9/12. What is the remainder when 32 is divided by c(t)?
11
Let l(o) be the third derivative of -o**6/60 + o**5/30 - 2*o**3/3 - 5*o**2 - 2. What is the remainder when 270 is divided by l(-3)?
66
What is the remainder when (1596/(-72))/(3/(-6))*(-5 + 20) is divided by 54?
17
Let u(b) = 3*b - 3*b**3 + 18*b**2 - 19 + 8*b + 4*b**3 + 3*b. Let a = -271 + 254. What is the remainder when u(a) is divided by 12?
8
Suppose 23*n + 241 = 2242. Calculate the remainder when 273 is divided by n.
12
Let n(d) = 4*d**3 + d**2 + d - 1. Let k be n(1). Suppose -x + 15 = -k. What is the remainder when x is divided by 52891/10669 - (-2)/47?
0
Suppose 19*q = 103 - 46. What is the remainder when 109 is divided by (-27)/(-6)*(57/9 + q)?
25
Let k = -635 - -633. Calculate the remainder when 2/5 + (k - (-2978)/5) is divided by 17.
16
Let v(f) be the first derivative of f**3/3 + 5*f**2/2 - 65*f + 100. Calculate the remainder when 242 is divided by v(-12).
14
Suppose 0 = a - 5*o + 3*o - 13, o + 1 = 0. Suppose 0*l = -l + a. Calculate the remainder when 33 is divided by l.
0
Let p = 223 + 374. Suppose 13*g = 16*g + p. Let o = 304 + g. Calculate the remainder when o is divided by 36.
33
Let v = -55926 + 111719. Calculate the remainder when v is divided by 377.
374
Let o(b) = -b**2 + 6*b + 29. Let x be o(-9). Let f = x + 111. What is the remainder when 82 is divided by f?
2
Let k(j) = j**2 - 40*j - 10827. Calculate the remainder when 1312 is divided by k(128).
1
Let c be 230/8 - 2/(-8). Suppose 0 = -3*j + 25 + c. Suppose -2*g = 4*z - 328, 4*g - 3*z - 708 = -74. What is the remainder when g is divided by j?
16
Calculate the remainder when 194/8*96/12 is divided by 6/36 - (-2097)/54.
38
Let y(p) = -p**2 + 24*p + 181. What is the remainder when 477 is divided by y(28)?
63
Suppose 3658 = 19*d + 27*d + 72*d. What is the remainder when 204 is divided by d?
18
Let t = 133 + -130. Suppose t*y - g - g = 259, -170 = -2*y + 4*g. What is the remainder when y is divided by 5?
2
Suppose -86*s + 4104 = -59*s. Calculate the remainder when 317 is divided by s.
13
Let p be (0/19)/((-10)/(-5)). Suppose p = -52*r + 575 + 985. Let j(v) = 2*v**2 - 5*v + 4. What is the remainder when r is divided by j(4)?
14
Suppose 1 = -y + 4. Suppose b + 10 = 3*n + 26, 0 = -3*n - y. What is the remainder when 48 is divided by b?
9
Suppose p - 3153 = h, -5*p - 55*h + 15837 = -51*h. What is the remainder when p is divided by 34?
33
Let g(j) = -j**3 + 84*j**2 - 1131*j - 24. Calculate the remainder when g(17) is divided by 31.
19
Let d(b) = -149*b - 4. Let u be d(1). Let x = u + 155. What is the remainder when x is divided by 2?
0
Let u(h) = 5*h**3 - 9*h**2 + 14*h - 6. Calculate the remainder when u(6) is divided by 54.
24
What is the remainder when 929 is divided by -18 + (-276)/(-24)*28?
17
Let r = 179 + -177. What is the remainder when (18/(-8))/((r + -7)/1000) is divided by 41?
40
Suppose 2*n = 4*j + 4 + 40, -74 = -3*n - 2*j. Suppose -v = 3*t - 13 - n, 2*t = -2*v + 74. What is the remainder when 1/(144/(-145) + 1) is divided by v?
34
Suppose -4*u = -2*h + 22, -h = -5*u - 3*h - 50. Let i(a) = a**3 + 9*a**2 + 4*a + 4. Calculate the remainder when i(u) is divided by (6 + -21)/(-5) + (11 - 1).
10
Let b(c) = 3*c**3 + 195*c**2 - 24*c - 78. What is the remainder when b(-65) is divided by 247?
0
Let t = -1068 + 1122. What is the remainder when 8205 is divided by t?
51
Suppose -12*x + 3720 + 8373 = -2763. What is the remainder when x is divided by 155?
153
Calculate the remainder when 207/(((-30)/(-35))/((-40)/(-35))) is divided by 274.
2
Suppose z = 5*p - 2, -5*z + 2*p = -2*p - 95. What is the remainder when -2 + -7*(-1005)/105 is divided by z?
19
Let o = -21812 + 22720. Calculate the remainder when o is divided by 90.
8
Let c(u) = -158*u - 728. Calculate the remainder when 456 is divided by c(-6).
16
Let c = -15 + 40. Suppose 3*r - 2*x - 380 = 63, -2*r + 296 = -x. What is the remainder when r is divided by c?
24
Suppose 40*p + 5*a - 90 = 36*p, -4*p + 86 = 3*a. Calculate the remainder when 316 is divided by p.
16
Let o = 29787 + -29667. Calculate the remainder when 744 is divided by o.
24
Calculate the remainder when (-286)/(-4) + (-21)/42 is divided by 31.
9
Suppose 8*v = -1 + 433. What is the remainder when v is divided by 52?
2
Suppose 4*q - 2*x - 240 = 0, -4*x = 20*q - 18*q - 160. Calculate the remainder when 796 is divided by q.
28
Suppose 0 = 2*a - 45 - 33. Let o(p) = 7*p - 93. Calculate the remainder when a is divided by o(14).
4
Suppose 4*u - 5*m = 2038, 22*u + 3078 = 28*u + 3*m. Calculate the remainder when u is divided by 34.
2
Suppose 2*v + g - 47 = 0, -77*v + 78*v + 5*g = 37. What is the remainder when 2544 is divided by v?