 19.
17
Suppose 25*k - 28*k - 6 = 0, 0 = 4*w - 2*k - 1060. Calculate the remainder when w is divided by 79.
27
Let i = -2521 + 2581. Calculate the remainder when 1621 is divided by i.
1
Let w be (30/8)/((-5)/(80/(-12))). Suppose v = -4*p + 108, -w*p - 6*v + 122 = -8*v. What is the remainder when 98 is divided by p?
20
Let i(u) = 3*u**2 - u + 4. Suppose -21 = -32*r + 54*r - 29*r. Calculate the remainder when i(-4) is divided by r.
2
Let u be 9/4*(-32)/(-3). Let w(i) = -u + 25*i - 49*i + i**2 + 25*i. Calculate the remainder when w(8) is divided by 13.
9
Let s be (-4)/6*(-39)/(-1). Let b(u) = -3*u - 53. Let l(a) = 25*a + 449. Let i(v) = 102*b(v) + 12*l(v). What is the remainder when i(s) is divided by 48?
42
Suppose 6*i = 26 + 40. Let w(a) = a**3 + 5*a**2 - 8*a + 3. Let d = -15 + 9. What is the remainder when w(d) is divided by i?
4
Let r = -505 - -506. Let c be (-62)/((-6)/(-3) + -4). Suppose -5*z = t - r, z = t - 4*z - c. What is the remainder when t is divided by 9?
7
Let r(q) = 8*q**3 + 17*q**2 - 13*q - 23. Calculate the remainder when 446 is divided by r(-2).
5
Let b(n) = 22*n + 74. Let s be b(-9). Let x = 135 + s. Calculate the remainder when 15 is divided by x.
4
Suppose -5300*q = -5295*q + 2*z - 91, -5*q - 3*z + 84 = 0. Let j be (1/(-1) - 68)/(-1). Let d = j + -10. Calculate the remainder when d is divided by q.
17
Let h(m) = 2*m**2 - 14*m - 24. Calculate the remainder when 319 is divided by h(10).
31
Suppose 50*i = -32*i + 410. Calculate the remainder when 3262 is divided by i.
2
Suppose -6*a + 0*a = -3*a. Suppose -y + 13 = -5*i, 4*y + 4*i + 0*i - 4 = a. What is the remainder when 14 is divided by y?
2
Suppose -4 = 22*d - 18*d, 5*z = -5*d + 2305. What is the remainder when z is divided by 78?
72
Suppose 0 = -4*q - n + 1425, -2*q + 50*n + 709 = 51*n. Calculate the remainder when q is divided by 45.
43
Suppose -111 = -n + 3*b, 22*n - b - 237 = 20*n. Calculate the remainder when 468 is divided by n.
108
Let w = 776 + -760. Suppose 0 = b - 5 - w. What is the remainder when 75 is divided by b?
12
Let r(t) = 12*t - 3*t**2 + 2 - 4*t + 1 + 2*t**2. Let w be r(-4). Calculate the remainder when -1*(w - 4) - (-3 + 1) is divided by 13.
12
Let k(n) = 5 - 1030*n + n**2 - 5 + 1031*n. Let r(x) = 3*x**2 + 22*x - 41. Let i(q) = -4*k(q) + r(q). What is the remainder when 158 is divided by i(9)?
38
Let q be (-5 - -7)*(-7)/(7/(-2)). Suppose q*g = g + d + 78, g - d = 24. What is the remainder when g is divided by 7?
6
Let v(a) = -29*a - 6. Suppose -9*n + 15*n = -6. Calculate the remainder when v(-3) is divided by n/3*-44 - 6/9.
11
Let q be 474/4 - (-12)/(-8). Suppose 5*t - 2*d = 125, 4*t - 4*d - q = d. Calculate the remainder when t is divided by 2.
1
Calculate the remainder when 981 + (6 + -6 - 5*(-18)/(-15)) is divided by 61.
60
Suppose 79*h - 395 - 2180 = 1612. What is the remainder when h is divided by (-2)/11 - 3978/(-99)?
13
Suppose -124 = -113*r + 2410 + 178. What is the remainder when 32879 is divided by r?
23
Let q = -2097 + 2186. Calculate the remainder when 157 is divided by q.
68
Let l(i) = 22*i**2 - 2*i. Let z(t) = t**2 + 19*t - 60. Suppose -137*b + 138 = -143*b. What is the remainder when l(-2) is divided by z(b)?
28
Let m = -15939 - -15959. What is the remainder when 2149 is divided by m?
9
Let b(v) = 21*v**2 - 16*v - 4. Let g be b(-4). Let p = g - 7. Calculate the remainder when p is divided by 14.
11
Let a(n) = 310*n + 2. Let t be a(4). Suppose 0 = -12*p + 906 + t. Calculate the remainder when p is divided by 9.
8
Let s(a) = -a**3 - 4*a**2 + 175*a + 1026. Calculate the remainder when 274 is divided by s(-6).
34
Suppose w = -2, -2*a - 3*a + 5*w + 1395 = 0. Suppose -a = -4*f - 3*j, 5*j - 2*j = f - 88. Calculate the remainder when f is divided by 13.
8
Suppose -5*m = -2*h + 7376, 169*m + 18469 = 5*h + 171*m. What is the remainder when h is divided by 28?
25
Suppose 71*h = 2507 + 1114. What is the remainder when h is divided by ((-63)/(-12) + -2)*4?
12
Let c = -199 - -294. Calculate the remainder when c is divided by -30*8*8/(-96).
15
What is the remainder when (5295 - (-44)/11) + 9 is divided by 77?
72
Suppose 4*f + 32 = 2*f. Let g(q) = -4*q - 127. Let s be g(-21). Let h = f - s. What is the remainder when h is divided by 15?
12
Let a(r) = -54*r**3 + 8*r**2 + 11*r + 1. Calculate the remainder when 3015 is divided by a(-3).
19
Let i(d) = 33*d - 81. Let h(x) = -x**3 - 11*x**2 - 4*x + 25. Calculate the remainder when h(-11) is divided by i(3).
15
Suppose -3*m - d - 3 = -22, -5*d = 4*m - 7. Suppose -m*c + 439 + 1337 = 0. What is the remainder when c is divided by 57?
51
Suppose 2*s = 4*s - 214. Let c(m) = 12*m + 639. Calculate the remainder when s is divided by c(-51).
26
Suppose -4*o = f - 4*f + 37, 0 = -4*f - 4*o + 40. Suppose -f*l + 2032 - 437 = 0. What is the remainder when l is divided by 15?
10
Let n = -14883 - -22383. Calculate the remainder when n is divided by 268.
264
Suppose -3*r - 4*m = 1942, 3*m - 178 = 5*r + 3049. Let x = -507 - r. Calculate the remainder when x is divided by 71.
68
Let y = -1466 - -1471. Calculate the remainder when 429 is divided by y.
4
Let b = 22 - 24. Let m(d) = -14*d**3 + 3*d + 2. Let a be m(b). Suppose -3*t = -5*j - 68, -4*t - j - j = -a. What is the remainder when 76 is divided by t?
24
Let n(s) = -s**2 - 6*s - 3. Let j be n(-5). Suppose 0 = -2*o - 3*l - j + 4, 5*l - 15 = -5*o. Calculate the remainder when 153 is divided by o.
6
Let u(k) = -4*k - 62. Let p be u(-16). Calculate the remainder when 270 is divided by p*(-51)/12*-4.
32
What is the remainder when -7 - (9/12 - (8 - 43116/(-16))) is divided by 29?
27
Let n = 296 + -187. Suppose 5*i - 350 = -5*y, 5*y - 2*i - 262 - n = 0. What is the remainder when y is divided by 21?
10
Let a = -9373 - -9505. Calculate the remainder when a is divided by 25.
7
Suppose 20 = 3*y - z - 404, -290 = -2*y - 3*z. Let q = y - 69. Calculate the remainder when q is divided by 19.
16
Let p(z) = 123*z - 3. Let n(y) = 368*y - 10. Let s(c) = 5*n(c) - 14*p(c). Let k be s(1). Let r = k + -104. Calculate the remainder when 46 is divided by r.
4
Let m = 5060 - 5015. What is the remainder when 193 is divided by m?
13
Let z(f) = -3*f + 8. Let d(k) = 3*k**2 - 3*k - 15. Suppose -i - 3 = -h, 8*i - 4 = 7*i. Calculate the remainder when d(h) is divided by z(-7).
24
Let j(z) = 35*z + 2654. What is the remainder when j(-71) is divided by 49?
22
Let h be 3/(-12) + (-44)/16. Let z = 2 - h. Suppose 70 = 2*s + 4*m, -z*s - m - 48 = -214. What is the remainder when s is divided by 9?
6
Let b(g) = 3*g**2 - g + 4. Suppose -1385 = -4*l - l + 5*v, -1399 = -5*l - 2*v. What is the remainder when l is divided by b(2)?
13
Suppose 0 = 10*m - 475 + 55. What is the remainder when (1/3)/(11 - 27055/2460) is divided by m?
38
Let s(g) = -5*g + 50. Let n be s(7). Suppose c - n = -2*f, -f - c = 19 - 24. What is the remainder when 185 is divided by f?
5
Calculate the remainder when (-221)/5083 + 120684/69 is divided by 3.
0
Suppose -3*v - 3*j + 1797 = 0, 3*v - j + 35 - 1828 = 0. What is the remainder when v is divided by 9?
4
Let u(n) = -n**3 - 6*n**2 + 4*n - 15. Let c be u(-7). Let q be c*2/4*140/15. Let w = q - 17. What is the remainder when 19 is divided by w?
8
Let k be (4/(1 - -3) + 0)*6. Let t(s) = 2*s**3 - 8*s**2 - 33. What is the remainder when t(k) is divided by 28?
27
Suppose -76*d - 140*d + 52488 = 0. What is the remainder when d is divided by 31?
26
Suppose 266 = -9*q + 77. Let t be (3/(q/(-2)))/(1/14). Calculate the remainder when (-6 - -2)/t - -43 is divided by 15.
12
Calculate the remainder when 42780/744*412/10 is divided by 12.
5
Let h(s) = 22*s + 17*s - 2 - 36*s + 26*s**3. Let u be h(1). Suppose -5*c + 13 + u = 0. Calculate the remainder when 38 is divided by c.
6
Let g(y) be the third derivative of 2*y**5/15 - y**4/8 - 19*y**3/6 + 11*y**2 + 4. What is the remainder when g(6) is divided by 36?
35
Suppose 5*h + 3*l = 7225, -h - 228*l = -233*l - 1473. What is the remainder when h is divided by 44?
40
Let l(p) = p**3 + 29*p**2 + p + 625. What is the remainder when l(0) is divided by 226?
173
Suppose -137*h + 24041 + 5277 = 0. What is the remainder when h is divided by 28?
18
Let y(v) = -v**3 - 87*v**2 - 424*v + 838. Calculate the remainder when y(-82) is divided by 30.
6
Let s(i) = -3*i**2 - 62*i - 16