354 is divided by j.
56
Suppose 19*k - 70 = 6. Suppose k*z - 39 = -4*m + 57, 4*m = z - 9. What is the remainder when 120 is divided by z?
15
Suppose -8 = 14*f - 10*f. What is the remainder when 61 is divided by (217/(-14) - -2)*f?
7
Suppose -2*p = -f - 17 - 4, -3 = f. Suppose 32*a = 30*a + 64. Calculate the remainder when a is divided by p.
5
What is the remainder when (72128/(-276))/(4/(-6)) is divided by 28?
0
Suppose -9*l + 96 = -6*l. Suppose 0 = -l*p + 21*p + 1122. Calculate the remainder when p is divided by 18.
12
Suppose 4*q - 34 + 2 = -5*j, -2*j - 24 = -3*q. Calculate the remainder when q/(-14) + 11920/280 is divided by 24.
18
Suppose 311 = 15*d - 259. Suppose 29*m - t = 26*m + 67, 2*m - 2*t - d = 0. Calculate the remainder when m is divided by 10.
4
Let s be 1/(-2)*(3 + -7). Suppose 0 = a + 22 - s. Let y(h) = -3*h - 42. What is the remainder when 71 is divided by y(a)?
17
Suppose 0 = 2842*y - 2792*y - 2050. What is the remainder when 656 is divided by y?
0
Let f(g) = -9*g**3 - 147*g**2 - 49*g - 8. Calculate the remainder when 174 is divided by f(-16).
6
Suppose 76 = 4*k - 2*a - 88, -k + 4*a = -62. What is the remainder when 1175 is divided by k?
35
Suppose -970 = -7*h + 2*h. Let g(f) = f**3 - 30*f**2 + 200*f + 15. What is the remainder when h is divided by g(10)?
14
Suppose 818*u = 737*u + 2187. What is the remainder when 13282 is divided by u?
25
Suppose 9430 = 17*u - 9406. Suppose 0*m = 4*m - u. Calculate the remainder when m is divided by 74.
55
Suppose -2*r + 20 + 6 = 0. Suppose -363 = -r*v + 417. What is the remainder when 479 is divided by v?
59
Let s = 132 + -52. Let y = -5884 - -5915. What is the remainder when s is divided by y?
18
Let a(y) = 8*y + 43. Let p be a(-5). Let q be 1/(2 - (-10)/(-6)). Suppose 0*f - q = -p*f. Calculate the remainder when f is divided by 1.
0
Let i(v) = v**3 + 11*v**2 + 6*v - 12. Let d(s) = s**3 - 6*s**2 + 2*s - 22. Let f be d(6). Suppose -x + 1 = -5. What is the remainder when i(f) is divided by x?
4
Let i be -6*((-42)/(-4) - 1). What is the remainder when 155 is divided by i/(-10)*8 + (-32)/(-80)?
17
Calculate the remainder when 407 is divided by 98/(-980) - ((-1122)/20 - -1).
22
Let d = 74 + -142. Let k = d + 224. Calculate the remainder when k is divided by 9.
3
Suppose o + 37 = 2*r + 11, 2*r - 24 = 2*o. Let z be (1/2*2)/(-1). Let s = 26 + z. Calculate the remainder when s is divided by r.
11
Suppose 46*c + 35*c = 44*c + 12469. What is the remainder when c is divided by 74?
41
Let n be 7 + 2*(-505)/(-5). Suppose 53*b - 64*b + n = 0. What is the remainder when 184 is divided by b?
13
Let v(s) = -s**3 + s**2 - 2*s - 1. Let k(w) = 2*w**3 + 25*w**2 + 49*w - 76. Let h(t) = -k(t) - v(t). Calculate the remainder when h(-24) is divided by 23.
7
Let v be (-6)/(-1) - (-776 + -19). Suppose 0 = 7*l - v + 31. What is the remainder when 214 is divided by l?
104
Let f(j) = -314*j + 632. Let u(y) = 2*y**2 + y - 2. What is the remainder when u(-2) is divided by f(2)?
0
Suppose 53*s - 58*s + 5*t = -8190, 3*s = -3*t + 4932. What is the remainder when s is divided by 33?
24
Let g(v) = 18*v**2 - v. Let h(u) = -1 + 1242*u - 1233*u - 3*u**3 + u**3 - 5*u**2. Calculate the remainder when g(-1) is divided by h(-4).
8
Let y = 782 - 595. What is the remainder when 360 is divided by y?
173
Let l(p) = 36*p**2 - 183*p + 28. Calculate the remainder when 4419 is divided by l(5).
12
Suppose 5*p - 8*r + 7*r - 342 = 0, -261 = -4*p + 5*r. What is the remainder when (-23)/p + (-670)/(-3) is divided by 45?
43
Calculate the remainder when 1779 is divided by (-14592)/1792*217/(-3).
12
Let n(g) be the first derivative of 2*g**3 - 7*g**2/2 - 12*g + 17. Let y be n(-3). Let r = y + 155. Calculate the remainder when r is divided by 44.
42
Let g(w) = w**3 - 52*w**2 - 43*w + 350. What is the remainder when g(53) is divided by 176?
0
Let j(z) = 1269*z + 10701. Calculate the remainder when j(-8) is divided by 135.
9
Suppose 0 = -5658*l + 5668*l - 53700. What is the remainder when l is divided by 9?
6
Calculate the remainder when 2330 is divided by 14043/744 + 4*1 - (-2)/16.
7
Let u(n) = -5*n + 39. Let j be (-44)/(1 - -3) + (-7 - -2). What is the remainder when u(j) is divided by 11?
9
Let l = -90 - -134. Let v = -147 + 164. Suppose 2*r + 4 = 0, v = k + 2*r + 2*r. What is the remainder when l is divided by k?
19
Let b be 4 + (-39)/12 + (-146)/(-8). Suppose 5*v - 21*f + b*f - 120 = 0, 2*f - 96 = -4*v. What is the remainder when v is divided by 15?
9
Let r = -5332 - -5377. What is the remainder when 272 is divided by r?
2
Let n be 411/2*48/72. Suppose f = d - 65, 3*f + n - 6 = 2*d. Calculate the remainder when d is divided by 24.
16
What is the remainder when 4/(72/36466) - (-2)/18 is divided by 70?
66
Suppose 13265 = 14*b + 5075. Suppose 577*c = b*c - 3464. What is the remainder when c is divided by 29?
27
Suppose -3*r - 233 = -1370. Suppose -p - 332 = -4*i - 5*p, -4*p - r = -5*i. Calculate the remainder when i is divided by 44.
35
Let v(o) = -13*o + 34. Let m be v(5). Calculate the remainder when 369 is divided by (-6)/2*1*(27 + m).
9
Let m = -18823 + 18858. What is the remainder when (0 + 4)*414/8 is divided by m?
32
Let r(f) = -f**3 - 58*f**2 + 379*f - 257. What is the remainder when -2 - -1 - (0 - 754) is divided by r(-64)?
60
Let y(t) = t**3 + 21*t**2 + 18*t + 3. Let w be y(-20). Suppose 4*v + 21 + w = -q, 2*v - 2*q = -22. Calculate the remainder when 142 is divided by -4 + v/10*-22.
26
Suppose 15847 = 9757*f - 9734*f. What is the remainder when f is divided by 46?
45
Suppose 5*k = -8*k + 11661. Suppose 0 = 7*f - 1051 + k. What is the remainder when 81 is divided by f?
15
Let n = -34916 - -34930. Let x = -48 + 34. Calculate the remainder when (-4)/x + 467/7 is divided by n.
11
Let u be ((-8094)/(-95))/(6/20). Suppose 278*c - u*c = -96. Calculate the remainder when 108 is divided by c.
12
Suppose 0 = 3423*c - 3439*c + 976. What is the remainder when 14639 is divided by c?
60
Let o(g) = -g**3 + 22*g**2 + 73*g + 63. Suppose 14*t - 196 = 10*t. Calculate the remainder when t is divided by o(25).
10
Suppose 2*v - 198 = -4*n, 5*n + 0*n - 300 = -3*v. Suppose 2*o - 8 = z, -2*o + 32 = -0*o + 5*z. Calculate the remainder when v is divided by o.
3
Let j be (-2)/((-137)/27 - -5). Suppose -2*b + j = a, 0 = a - b - 33 + 3. Let z(t) = t**2 - 1. Calculate the remainder when a is divided by z(-3).
5
What is the remainder when 443 is divided by (-18872)/(-44) + (-2)/(-22)?
14
Suppose 82 = n - 0*m - 2*m, 415 = 5*n - 5*m. Let r = -54 - -58. Suppose r*v + 74 = 4*i - 10, 0 = -2*v - 8. What is the remainder when n is divided by i?
16
Suppose 0 = 4*t - c - 19294 + 2783, -3*t + 12375 = 2*c. What is the remainder when t is divided by 86?
85
Suppose -93*i + 96*i - 738 = 0. Calculate the remainder when i is divided by 34.
8
What is the remainder when 561 is divided by -10*(33*(-20)/75 + (-2)/(-10))?
45
Suppose -943*h + 3*y + 153 = -940*h, -4*h + 3*y + 202 = 0. Let f(b) = b**3 - b**2 + 390. What is the remainder when f(0) is divided by h?
47
Let q(b) = 55*b + 1277. What is the remainder when 227 is divided by q(-22)?
26
Let b(h) = -2*h**2 + 73*h - 241. What is the remainder when 416 is divided by b(32)?
40
Calculate the remainder when 3083 is divided by 0 + (-178)/(-15) - (-15 - (-2676)/180).
11
Let d(u) = u**3 + 3*u**2 + 100*u - 166. Calculate the remainder when d(13) is divided by 58.
10
Let c = -32802 + 35121. What is the remainder when c is divided by 192?
15
Let h be (-2)/3 + (-931)/21. Let j be (-2817)/h + 6/(-10). Suppose 0 = i - 3*i + j. What is the remainder when i is divided by 11?
9
Let o(n) = n**2 + 2*n - 2481. What is the remainder when o(-152) is divided by 16?
15
Let i(w) = 34*w**2 - 4*w - 2. Let p be i(-1). Suppose p = -17*c + 20*c. Let z = c + 5. Calculate the remainder when z is divided by 9.
8
Let n(h) = h**3 + 23*h**2 + 80*h - 6. What is the remainder when 385 is divided by n(-17)?
17
Suppose 0 = -24*x + 20*x - 4944. Calculate the remainder when (x/9)/((-10)/15) is divided by 9.
8
What is the remainder when 465 is divided by (78 + -2)*6*4/96?
9
Suppose -3*h - 10 = 23*p - 27*p, 3*p = -2*h + 16. Calculate the remainder when 40 is divided by p.
0
Suppose 35*s = -15*s + 287 + 363. Calculate the remainder when 441 is divided by s.
12
Calculate the rem