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c = 146 + -105. Let r = c - w. What is the nearest to 1/3 in r, -3, 2?
r
Let u be ((-1650)/200)/(15/(-40)). Suppose 0*p - 6 = -2*p. What is the closest to 0 in 4/3, u, p?
4/3
Let l be (-1)/(-3) - 250/75. Let u(y) = -y**2 - 9*y - 4. Let t be u(-9). Let c = t + 6. What is the nearest to -1 in c, -15, l?
l
Let w = -4.794 - -4.494. What is the nearest to -1 in 13, w, 2/7, 0.1?
w
Let k = 389/17 + -23. Let l = 29.26 + -29.46. Which is the closest to 3/7? (a) l (b) k (c) 1
b
Suppose 5*i + 30 = 4*z, 3*z + 48 = -15*i + 7*i. Let s = 0.1 + -0.1. Let o = -44.8 + 45. Which is the closest to z? (a) s (b) o (c) 4
a
Let o = 10999 + -11004. Let h be (0 - 1) + 2/5. What is the closest to 0 in h, o, 0.78?
h
Let b = -1.276 + 1.576. Let l = -74 + 109. Suppose -4*s + 13 = o, 4*o + 11 = -2*s + l. What is the nearest to -5 in b, 0, o?
0
Let p be (100/(-70) - -2)/(8/(-28)). Which is the nearest to p? (a) -2 (b) -5 (c) -1
a
Let v = -944 + 633. Let n = v - -309. What is the nearest to n in -0.1, 3, 2/37?
-0.1
Let c(w) = 15*w**2 + 4*w. Let r be c(-4). Let a = r + -219. Let u(b) = -b**2 + b - 2. Let q be u(0). What is the closest to 0.03 in q, a, 2/5?
2/5
Suppose 2*m - 2 = -10. Suppose -7*y = 3*y + 800. Let i be 4 + (-5)/(y/(-56)). Which is the nearest to 1? (a) i (b) m (c) 0
a
Let t = 61/72 + -13/18. Let y(v) = -v + 4. Let w be y(9). What is the closest to 0 in w, 8, t, -0.2?
t
Let v be (-4)/(-550)*25 + 18/22. Which is the nearest to 1? (a) -4 (b) v (c) -24
b
Let t = 1.4 + -1.2. Let z(h) = 62 + 5*h + 5*h - 121. Let x be z(6). Which is the nearest to 2/7? (a) t (b) -2 (c) x
a
Let s = 25 + -124/5. Let q = 0.9 + -1.3. Which is the closest to s? (a) q (b) 3 (c) -1/8
c
Let p = -17 - -33/2. Suppose -15 = 3*k - 9*u + 5*u, 3 = 6*k + 3*u. Which is the nearest to k? (a) p (b) -5 (c) 2
a
Let o = 451.5 - 451.1. What is the closest to -0.4 in o, 0.5, -0.3, 2/7?
-0.3
Let l = 4614.5 - 4614. Which is the nearest to -2/7? (a) -15/2 (b) -1/3 (c) l
b
Let j = 29/14 - 11/7. Let i(f) = 5*f - 31. Suppose -29*r - 6 = -30*r. Let q be i(r). Which is the nearest to q? (a) -0.4 (b) j (c) -1/3
a
Let x = -1321 + 1325. Which is the nearest to 0.1? (a) -2/7 (b) -18 (c) x (d) 3
a
Let r be (-1985)/35 - (-4)/(-14). Let u = 281/5 + r. Let o be 3 + (-6)/(-21) - 3. What is the nearest to o in 1, u, -0.03?
-0.03
Suppose -4*i + 8*i + 12 = 0, 3*t + 2*i = 30. Suppose 2 = -t*k - 22. Which is the nearest to 2/11? (a) 2/3 (b) k (c) 0.4
c
Let n = -2.5483 - -2.6883. Which is the closest to -0.3? (a) n (b) 3/5 (c) 3 (d) -77
a
Let t = -9.3 - -9.8. Which is the nearest to -7? (a) t (b) -3 (c) 0.3 (d) 2/19
b
Let w = -6819.84 + 6820. Let f = -8.3 - -8. Which is the closest to 1? (a) -3/4 (b) f (c) w
c
Let x be 1/(-2)*(12/(-72) - 34/(-60)). What is the closest to 1/3 in 1, x, 92.6?
x
Let a = -0.075 - 42.925. Let z = 181.5 - 226.5. Let i = a - z. What is the nearest to 2/7 in i, -0.3, 5?
-0.3
Let a = -85 + 95. Let m be 4*(a/4)/5. What is the nearest to -1/4 in -6, -2, m?
-2
Let p = -2.7 + 2.2. Let w = 1292 + -3878/3. Which is the closest to w? (a) -0.1 (b) p (c) -0.2
b
Let x = 0.9688 - -0.0312. What is the nearest to -0.16 in 0.458, x, -3/2?
0.458
Let z = 2.516 - 2.3. Let o = -0.116 + z. Which is the nearest to 2/17? (a) o (b) -3 (c) -0.5
a
Let f(z) = -z**2 - 6*z - 1. Let k be f(-6). Let i be (-532)/(-1512)*84 + -30. Which is the nearest to i? (a) k (b) -4 (c) 0.3 (d) 5
a
Let w = -23575 + 23546. Let u = -0.8 - -1. Which is the closest to 1/3? (a) -2/5 (b) -1/10 (c) w (d) u
d
Let r = -5004.5 - -5005. Which is the closest to 1? (a) -302 (b) r (c) -0.4
b
Let f = -17018 - -17014. What is the closest to -1 in 19, 0.8, 0, f?
0
Suppose -7*s + 8 = -20. Suppose 10 = 5*x - w - s*w, -w - 2 = 2*x. Suppose x = -6*u - 5 + 11. Which is the nearest to u? (a) -5 (b) -1/4 (c) 5/2
b
Suppose 0 = 260*q - 254*q + 48. Let k be (-1035)/(-81) + q - 5. Which is the closest to 0.1? (a) -3 (b) -3/7 (c) k (d) -0.05
d
Let d(b) = 3*b**3 + 50*b**2 + 22*b - 18. Let g be d(-16). Let f = g + -137. What is the closest to -1 in -0.1, f, 2?
-0.1
Let u = -1215 - -1199. Let q be -23 + 25 - 14/8. Which is the closest to -0.2? (a) -0.1 (b) u (c) q (d) 1
a
Let u = -4.47 - -4.47. Let f be (-2)/(-8) + ((-245)/(-84))/(-7). What is the nearest to -5/7 in u, -2/11, f?
-2/11
Let k(m) = 11*m**3 - 17*m**2 - 66*m - 12. Let s be k(-6). Let u be s/420 + 0 + 0 + 6. Which is the nearest to -4? (a) 1/5 (b) 0.1 (c) u (d) 1
c
Let o = 4175 - 4178. Which is the nearest to 0? (a) -2/19 (b) o (c) -6 (d) 0
d
Let v = -6359 - -6362. Which is the nearest to -2? (a) -0.14 (b) -0.5 (c) v (d) 4/3
b
Let n = -180.4 - -179.4. Which is the closest to n? (a) -4/7 (b) 0.073 (c) 1
a
Let g = 14 - 10. Let k = -287/44 + 2051/220. Which is the nearest to k? (a) 1 (b) 0 (c) g
c
Suppose 25*p + 6 = 7*p + 3*l, 5*l + 3 = -17. Let m = -6/41 + 112/205. Let g = 2.6 + -3. Which is the nearest to g? (a) m (b) p (c) 4
b
Let h = 2256 - 2255.8. Suppose 2*o = o + 6. Let q be -3 - 3/((-9)/o). Which is the closest to q? (a) h (b) -4 (c) 1
a
Let u = -0.06 - -0.03. Let z = 1.97 - u. Let t = -26449.7 - -26450. Which is the nearest to 1? (a) t (b) -1/2 (c) z
a
Let j(g) = g**3 + 7*g**2 - 3*g - 23. Let t = -99 + 92. Let m be j(t). Which is the nearest to m? (a) 0.2 (b) -2/7 (c) -0.15
b
Let d = 2 + -1. Let x be (-7428)/480 + 17 - (-21)/(-15). What is the closest to -13 in -0.1, d, x?
-0.1
Let d be 3893/(-20152) + 4/(-22). Which is the closest to 5? (a) 1/11 (b) d (c) -4
a
Let t = -2.635 + 2.735. What is the nearest to t in -0.4, -8, 0.4, -21?
0.4
Let i = 1.8 + -37.8. Let p = 36.558 - 0.258. Let f = p + i. Which is the closest to -0.1? (a) -2/9 (b) f (c) -5
a
Let u = 1523 - 1518. What is the nearest to -1 in u, -0.04, -3/4, -4?
-3/4
Let n = 3 + -3.1. Let y = -22 + 28. Let k be y/12*2/8. What is the nearest to n in 0.7, k, 4?
k
Let i = -15.24 + 16.8. Let l = i - 5.56. Which is the nearest to 1/4? (a) l (b) 2 (c) 0.1 (d) 0
c
Let g = 0.3932 - 0.1932. Which is the nearest to 1? (a) -1 (b) g (c) 5 (d) -14/19
b
Let h = -0.2485 - 2.7515. What is the nearest to -1/2 in 0.1, 0.3, h, -5/13?
-5/13
Let m = 1.7637 + -0.7637. Let p = -0.6 + 0.2. What is the nearest to -1 in p, m, 0.05?
p
Let p = -51 + 201. Let n = p + -151. Which is the nearest to -1/4? (a) n (b) -1/2 (c) 0.2
b
Let u = -24.6 + 24.697. Let m = u + 0.103. Which is the closest to -2/3? (a) -1 (b) -5 (c) -7 (d) m
a
Let g = 29 - 27. Let j be (1 + -1)*(-87)/348. What is the nearest to -2/3 in g, -1, j?
-1
Let k = -6.7 - -0.7. Suppose 47 + 3 = -24*f - f. Let d be (2/6)/((-6)/27). Which is the closest to -0.2? (a) d (b) f (c) k
a
Let m = 6751 + -6751.1. Which is the closest to m? (a) 2.1 (b) 5/2 (c) 3/7 (d) 2.7
c
Suppose -161 - 304 = -93*q. Let p = -0.02 - 0.48. Let w = p - -0.7. Which is the closest to -1? (a) q (b) -0.14 (c) w
b
Let v = -103.44 - -108.44. Let a = -21.5 - 88.5. What is the nearest to 0 in -0.2, v, a?
-0.2
Let m = -8872 - -8861. What is the closest to 1 in m, 0.02, 1?
1
Let b = -19 - -47. Let q(c) = -371*c + 370. Let w be q(1). What is the nearest to w in -2/15, 0.3, b?
-2/15
Let f = -153 - -152. Let y be (8 - 7 - 5)/(-42). Which is the nearest to f? (a) y (b) 4 (c) 6/5
a
Let n = 74 + -22. Let o be 9/36 + 67/n. Let a = o - 246/143. What is the nearest to 1 in -2, a, 1/4?
1/4
Let p = 11 - 8. Let j(h) = -h**3 + 6*h**2 - h + 8. Let n be j(6). Let l = -95 + 1427/15. Which is the nearest to -7? (a) p (b) l (c) n
b
Let s = -2.904 + 1.904. Let b = -8 + 9. Let i = -3 + b. What is the closest to i in 0.3, s, -5?
s
Let f = 0.03 + 0. Let l = 490 - 751. Let y = 260.9 + l. What is the closest to 2 in f, 2, y?
2
Let c be (-4)/(-28)*((-2)/(-7))/((-84)/(-294)). What is the nearest to -2/3 in 16/7, c, -5, -1/2?
-1/2
Let r = -24 + 28.6. Let n = 66.6 - r. Let t = -62.5 + n. What is the closest to 0.1 in t, 0, -0.4?
0
Let o = 43 - 43.2. Let q be -3 + 2*(-19167)/(-14154). Let c = q - -2/337. What is the nearest to o in 0, c, -1?
c
Let o = -1568.3 - -1567.3. What is the nearest to -15 in o, 1/4, -0.1, -14?
-14
Let u = -40.994 - -41. Let o = 0.034 + u. Let n = o - 5.04. Which is the closest to 2/21? (a) n (b) -3/4 (c) -0.5
c
Let b = -0.32
|
{
"pile_set_name": "DM Mathematics"
}
|
= -4*h - 6*h - 3*h + h + 14*h. Let k(y) = 7*y**2 - 6*y. Let u(n) = n**2 + n. Let v(x) = k(x) + 6*u(x). Give v(f(r)).
52*r**2
Let c(s) = 2*s**2 - 3. Let l(f) = -1. Let z(d) = -c(d) + 3*l(d). Let j(u) = -u**3 - 2*u**2 + u + 2. Let i be j(-2). Let p(x) = x + i*x + 0*x. Calculate p(z(t)).
-2*t**2
Let v(j) be the first derivative of 27*j**2 - 48. Let m(k) = 3*k - 2. Let i(u) = -4*u + 3. Let b(o) = -2*i(o) - 3*m(o). Give b(v(p)).
-54*p
Let s(c) = -46*c**2 - 2*c. Let n(b) = -184*b**2 - 9*b. Let i(o) = 4*n(o) - 18*s(o). Let a(w) = -w**2. Determine a(i(x)).
-8464*x**4
Let q(h) = -40200*h + 1. Let u(n) = 5*n**2. Give q(u(r)).
-201000*r**2 + 1
Let o(v) = -11*v**2. Let k(p) = -3*p**2 + 4*p + 4. Suppose 4*t - 7*t = -12. Let c(d) = -5*d**2 + 7*d + 7. Let s(h) = t*c(h) - 7*k(h). Determine s(o(m)).
121*m**4
Let x(s) = 2*s + 2. Let f be x(4). Let h(y) = -f*y**2 - 1 + 1 + 12*y**2. Let a(g) be the second derivative of -g**3/3 + 3*g. Calculate h(a(z)).
8*z**2
Let x(d) = -d - 8483. Let m(p) = 12*p. What is m(x(l))?
-12*l - 101796
Let x(c) = 4*c**2. Let a(l) = -12*l**2 - 9*l**2 + 26*l**2 - 10*l**2. Determine a(x(y)).
-80*y**4
Let r(f) = 3174*f**2 - 1585*f**2 - 1594*f**2. Let i(z) = 111*z**2. Calculate i(r(u)).
2775*u**4
Let a(w) = -4*w. Let f(b) = 281*b + 7. Calculate f(a(q)).
-1124*q + 7
Let g(q) = -q. Let m(w) = -1. Let s(h) = 7 + 10*h**2 - 1 + 4 + 0*h**2. Let c = -32 - -22. Let d(o) = c*m(o) - s(o). Calculate d(g(k)).
-10*k**2
Let u(k) = -7*k. Let l(n) = 4*n**2 + 11*n - 11. Let j(a) = -a**2 - 3*a + 3. Let p(w) = 22*j(w) + 6*l(w). Determine u(p(g)).
-14*g**2
Suppose 0*n = 3*n - 153. Let y(p) = -51*p + n*p + 2*p**2. Let s(o) = -16*o**2. Give s(y(h)).
-64*h**4
Let p(m) = 170*m. Let l(b) be the first derivative of -2*b**3/3 - 314. Give l(p(d)).
-57800*d**2
Let r(p) = -12*p**2 + 4*p + 8. Let b(y) = 37*y**2 - 13*y - 26. Let d(a) = -4*b(a) - 13*r(a). Let h(m) = 2*m - 3. Give d(h(x)).
32*x**2 - 96*x + 72
Let w(s) be the first derivative of -5*s**2 + 260. Let a(h) be the second derivative of h**3/6 + 2*h. What is w(a(p))?
-10*p
Let c(x) = x**2. Let g(q) = 7*q + 761. What is g(c(b))?
7*b**2 + 761
Let k(h) = -4*h. Let i(x) = -15686*x**2. Determine i(k(s)).
-250976*s**2
Let q(r) = -r**2 - 3*r. Let b(p) = p**2 + 4*p. Let x(h) = -3*b(h) - 4*q(h). Let i(z) be the third derivative of -z**5/30 - 138*z**2 - 1. Give x(i(a)).
4*a**4
Let z(m) be the second derivative of 0*m**3 - 10*m + 0 + 2/3*m**4 + 0*m**2. Let y(j) = 7*j. Give z(y(u)).
392*u**2
Let k(r) = 25*r - 34. Let u(n) = -33*n + 33. Let t(x) = 4*k(x) + 3*u(x). Let w(j) = -18*j**2. What is t(w(i))?
-18*i**2 - 37
Let n(i) = 68*i - 2. Let u(y) = -4*y**2 - 6*y**2 + y**2 + 6*y**2. Calculate u(n(k)).
-13872*k**2 + 816*k - 12
Let n(o) = 3316 - 1656 - 1660 - 4*o. Let j(a) = -18*a + 2. Determine n(j(k)).
72*k - 8
Let b = 65 - 45. Let c(g) = -26*g**2 - g + g + b*g**2. Let i(o) = -5*o. Give i(c(m)).
30*m**2
Let u(g) = 49900*g. Let t(o) = -5*o. Give t(u(c)).
-249500*c
Suppose -2 = -2*p + 2. Suppose 2*n = -p*n. Let b(o) = -7*o**2 + o**2 + n*o + 0*o. Let r(h) = h. Calculate b(r(k)).
-6*k**2
Let i(u) = 2*u**2. Let a = -263 + 265. Suppose -8 = -2*l - 2*l. Let w(z) = 2*z**2 + 0*z**l - 6*z**a. What is i(w(j))?
32*j**4
Let q(h) = 4*h. Suppose -2*l = -u + 6*u - 28, -12 = -u - 2*l. Suppose -5*m + 2 - 8 = -u*b, -b + 4 = 0. Let j(s) = 5 - 5 + s**m + s**2. Give j(q(d)).
32*d**2
Let b(h) = 8*h. Let g be (8/5)/(4/20). Let c = -2 + g. Let p(y) = 4*y**2 + c*y**2 - 12*y**2. Give p(b(k)).
-128*k**2
Let l(d) = -22*d - 12. Let h(m) = 9*m + 5. Suppose c + 11 + 1 = 0. Let f(a) = c*h(a) - 5*l(a). Let p(r) = -r**2. What is p(f(i))?
-4*i**2
Let t(w) = -90*w + 33. Let c be t(-4). Let f(n) = -397*n - c*n + 791*n. Let s(y) = 0*y - 2*y + 7*y. Give f(s(k)).
5*k
Let n(o) = o - 99146. Let h(r) = 5*r. Give h(n(g)).
5*g - 495730
Let f(v) = v. Let y(d) = -68*d**2 + 2. Let l(i) = 1. Let h(m) = 2*l(m) - y(m). Determine h(f(n)).
68*n**2
Let s(r) = -46*r**2. Let n(a) = a. Let u(x) = 3*x. Let z(g) = 7*n(g) - 4*u(g). Calculate s(z(p)).
-1150*p**2
Let l = -620 + 623. Let q(d) be the first derivative of 0*d + 0*d**2 + 3 - 7/3*d**l. Let k(p) = p**2. What is q(k(b))?
-7*b**4
Let m(a) = -a**2. Suppose 4*k + 5 = 5*k. Let h(w) = 8*w**2 - w**2 - k*w**2 - 6*w**2. Determine m(h(v)).
-16*v**4
Let n(y) = y + 1. Let v(u) = -3*u - 4. Let z(k) = -4*n(k) - v(k). Let g(f) be the first derivative of 6*f**2 - 4. Determine g(z(b)).
-12*b
Let r(s) = 40*s - 2. Let j(p) be the first derivative of -p**3/3 + 82. Give j(r(x)).
-1600*x**2 + 160*x - 4
Let k(f) = -f. Let r(x) = 1277187*x. Calculate k(r(c)).
-1277187*c
Let z(k) = 186476*k + 1. Let i(h) = -7*h**2. Give z(i(t)).
-1305332*t**2 + 1
Let w(y) = -3*y - 17. Let h(v) = v**2 - 32. Calculate w(h(o)).
-3*o**2 + 79
Let x(k) = 1628*k**2. Let q(d) = -1320*d**2. Give x(q(t)).
2836627200*t**4
Let o(r) be the second derivative of 2*r**3/3 - 5*r**2/2 + 269*r. Let f(p) = 4*p**2. What is o(f(w))?
16*w**2 - 5
Let s(k) = -2*k + 3099. Let w(q) = 11*q**2. Determine s(w(t)).
-22*t**2 + 3099
Let z(n) = -5*n**2 + 0*n**2 - n**2. Let b(y) = y**2 + 1. Let r(l) = 2. Let j(v) = 2*b(v) - r(v). What is z(j(d))?
-24*d**4
Suppose 8*m - 36 + 4 = 0. Let n(t) = m - 16*t**2 + 13*t**2 - 4. Let s(c) = 6*c. Give n(s(w)).
-108*w**2
Let g(u) = 5*u**2. Let x(i) = i**3 - 6*i**2 + 4*i + 7. Let j be x(5). Suppose -h = -j*h + 3. Let z(v) = -h*v + v**2 - 2*v + 5*v. What is g(z(s))?
5*s**4
Let w(j) = -j**2 - j - 1. Let k(m) = 3*m**2 + 4*m + 4. Let p(i) = -k(i) - 4*w(i). Let g(d) = -2 - 42*d + 2. Calculate p(g(o)).
1764*o**2
Let h(x) = 5*x**2 + 37593. Let u(w) = 8*w. What is h(u(k))?
320*k**2 + 37593
Let x(l) = -14 - 14 + 5*l - 2*l + 28. Let k(c) = 35*c + 1. Calculate x(k(o)).
105*o + 3
Let u(m) = -361737*m. Let c(v) = 7*v. Give c(u(a)).
-2532159*a
Let c(l) be the third derivative of l**4/12 - 2*l**2 - 15. Let p(v) = 2*v - 14. What is c(p(s))?
4*s - 28
Let z(q) be the third derivative of 43*q**4/8 - 7*q**2 + 8*q. Let i(l) = -2*l. Determine z(i(c)).
-258*c
Let i(x) be the third derivative of -x**6/72 - x**5/24 + 3*x**3/2 - 15*x**2. Let l(c) be the first derivative of i(c). Let z(s) = -2*s. Calculate z(l(u)).
10*u**2 + 10*u
Let v(f) = 3*f**2. Let y(m) = -26867*m + 1. What is v(y(a))?
2165507067*a**2 - 161202*a + 3
Let t = -7 - -4. Let y(i) = -11*i. Let q(k) = -208*k. Let m(x) = t*q(x) + 56*y(x). Let z(h) = 26*h + 8 - 8 - 25*h. Determine z(m(n)).
8*n
Suppose n + q = 5 + 15, -n + 20 = -3*q. Let z = n - 14. Let d(b) = -12*b + 3*b - z*b. Let y(s) = s**2. Determine y(d(h)).
225*h**2
Let k be (2 - 4) + (-4)/(-2). Let a(q) be the third derivative of 4*q**2 + 0*q**3 + 0 + k*q**4 - 1/20*q**5 + 0*q. Let b(l) = -3*l**2. What is a(b(c))?
-27*c**4
Let l(x) be the second derivative of 0 + 32*x + 0*x**3 + 8/3*x**4 + 0*x**2. Let n(c) = 2*c. Give l(n(v)).
128*v**2
Let h = 9 + -6. Let w be 85/(-15) + 2/h. Let n(s) = 11*s**2 - 5*s. Let x(i) = 16*i**2 - 8*i. Let j(q) = w*x(q) + 8*n(q). Let z(m) = m. Calculate j(z(r)).
8*r**2
Let k(h) = h. Let l(s) = s**2 - 150224*s. Calculate l(k(c)).
c**2 - 150224*c
Let d(t) = 13331 - 14*t**2 - 13331. Let y(u) = -7*u + 6. Let q(k) = -k + 1. Let f(z) = -6*q(z) + y(z). Determine f(d(x)).
14*x**2
Let z(h) = 38*h**2 - 2. Let x(n) = -37 - 2*n - 19 + 56. Give z(x(d)).
152*d**2 - 2
Let r(i) = -2*i. Let w(v) = 924646*v. Give w(r(o)).
-1849292*o
Let a(w) = -w**2 - 85*w. Let h(r) = 33*r**2. Give a(h(j)).
-1089*j**4 - 2805*j**2
Let r(q) = -q**2 + q + 3. Let u be r(0). Let z = -84 + 84. Let j(t) = 3 + z - 3*t - u. Let d(f) = -2*f. Calculate d(j(k)).
6*k
Let k(j) = 19*j. Let f(b) = 3352*b. What is f(k(v))?
63688*v
Let a(z) be the second derivative of -z**3/6 + z + 15. Let g(y) = 0*y - 2*y**2 - 7*y + 7*y. Determine a(g(d)).
2*d**2
Let n(f) be the first derivative of -11*f**5/20 - 6*f**2 + 11. Let o(l) be the second derivative of n(l). Let s(t) = t. Give s(o(j)).
-33*j**2
Let n(i) = -2*i. Let w(j) be the first derivative of -18 - 23 + 46 - 4*j**2. Let y(o) = o. Let c(g) = -w(g) - 6*y(g). What is c(n(a))?
-4*a
Let v(m) = -2*m**2. Let t = -8 + 2. Let i be 4/6 + (-38)/t. Let j(o) = 8*o - 17 + i + 10. What is v(j(n))?
-128*n**2
Let o(x) = -25*x. Let d(z) = -2*z**2 + 1798. Calculate o(d(w)).
50*w**2 - 44950
Let d = -17 - -19. Let x(m) = -5 + 12 + 2*m**d - 7. Let b(r) = -28*r. Calculate x(b(c)).
|
{
"pile_set_name": "DM Mathematics"
}
|
Expand (-2 - 18*p**5 + 15*p**5 + 4*p + 9)*(5 + 2 - 4).
-9*p**5 + 12*p + 21
Expand 2*m**2 - 2*m**2 + 5*m**4 + (0 - m**3 + 0)*(23 + 16*m + 4*m - 24) + (3*m**2 - 4*m**2 + 0*m**2)*(-4*m**2 - 2 + 2).
-11*m**4 + m**3
Expand -w + 3*w + 0*w + (2 + 6 + 6)*(-11 - 15 + 23)*(0*w + w - 3*w).
86*w
Expand -3*l**3 - l + l + (-l + 4*l - l)*(169 - 169 - 35*l**2) + l**3 - 4 + 4.
-72*l**3
Expand (0*b + 0*b + 2*b)*((23*b - 6*b + 7*b)*(1 - 1 - 1) + 8*b + 10*b - 8*b).
-28*b**2
Expand (-2*u**3 - 3 + 3)*(0 - u + 0) - 4179 - 97*u**4 + 4179 + (u**4 - 5*u**4 + 2*u**4)*(-1 - 2 + 4) - u**4 + u**4 + u**4 + 2*u**4 - u**3 + u**3.
-94*u**4
Expand (88*w + 211 - 211)*(-496*w**3 - 151*w**4 + 496*w**3).
-13288*w**5
Expand -5*n + 8*n - 10*n + (-44*n - 55*n - 2 + 79*n)*(-3 + 4 - 3) - 5*n + 3*n + 3*n.
34*n + 4
Expand (-6*n + 33*n + 25*n)*(2 + 1 - 2)*(3 - 3 - 3*n) + 3*n**2 + 10*n**2 - 3*n**2 + (5*n - n - 2*n)*(n + 1 - 1).
-144*n**2
Expand (10*s - 7*s + 87907 - 86770)*(-2 + 1 - 1)*(1 + s - 1).
-6*s**2 - 2274*s
Expand (k + k + k)*(2*k + 0*k - 4*k)*(3*k**2 - 4*k**2 + 2*k**2)*(6 + 3 - 16)*(-2 + 2 + 2)*(-2 + 8 + 2).
672*k**4
Expand ((-4 + 4 + 9*j)*(-14 + 39 - 19) + 3 - 2*j - 3)*((3*j**3 - 3*j**3 + 2*j**3)*(-2*j + 4*j - 4*j) - 2*j**3 - j**4 + 2*j**3).
-260*j**5
Expand (1303*m - 653*m - 660*m + 17)*(27 + 31*m - 27).
-310*m**2 + 527*m
Expand (-1 - 5*h + 1)*(-181*h + 243*h - 475*h).
2065*h**2
Expand (0*u**2 + u**2 - 5*u**2)*(22*u - 30 + 30) + 2*u**2 + 2*u**3 - 2*u**2.
-86*u**3
Expand (-10 - 5*x + 10)*(-4*x**2 + 0*x**2 + 6*x**2)*(-41 + 59 + 34).
-520*x**3
Expand (j + 2 + 13*j - 4)*(4*j**4 + 2*j**4 + 3*j**4).
126*j**5 - 18*j**4
Expand -5*h - 18*h - 12*h - 63*h + (h - 4*h + h)*(-1 + 0 - 2) - 2 + 2*h + 2 + 7*h + 2*h + 8*h.
-73*h
Expand ((0*p**3 + p**3 + p**3)*(6*p + p - 3*p) + (2*p**3 + 0*p**2 + 0*p**2)*(4 - 4 - 2*p)*(2 + 11 - 22))*(-66*p + 9*p - 72*p).
-5676*p**5
Expand (73*d**4 - 14*d**4 + 2 - 27*d**4)*(d - 2*d + 0*d + (-4*d + 4*d - 2*d)*(26 + 7 - 12)).
-1376*d**5 - 86*d
Expand (-1696*t**2 - 22333 + 398*t**2 + 22333)*(t**2 + 5*t**2 - 4*t**2).
-2596*t**4
Expand 147*y + 3*y**2 - 22 + 38 - 5*y**3 - 148*y + (0 + 2*y**2 + 0)*(1 - 1 - y).
-7*y**3 + 3*y**2 - y + 16
Expand 2*k + 2*k - 5*k + 4*k - 6*k + 4*k + (2 - 1 + 1)*(-3*k - k + 6*k) + 30*k - 64*k - 28*k + 4*k - 8*k + 22*k.
-39*k
Expand (b - 2*b + 5*b)*(48 - 16 - 25 + (3 + 0 - 4)*(2 - 1 + 0) + 0 - 4 + 3).
20*b
Expand (3*f**2 - f**2 - 4*f**2)*(5 - 1 - 3) + 2*f**2 + 2*f**2 - 5*f**2 - 2*f**2 - f**2 + f**2 + 4*f**2 + 0*f**2 - 2*f**2 - 121 + 74 + 5608*f**2 + 47.
5605*f**2
Expand (-2*w**4 + 3*w**4 - 2*w**4)*(2 - 2 - 3) - 315*w**2 + 315*w**2 + 153*w**4.
156*w**4
Expand (138*p - 55936 + 55936)*(-p - 2*p + 0*p)*(3*p - 2*p - 3*p).
828*p**3
Expand (7 - 7 - 12*i)*(2*i + 24 + 0*i + 24) + (5 - 6*i - 5)*(0*i - i - 2*i).
-6*i**2 - 576*i
Expand (8*i**2 - 13*i**2 - 5*i**2)*(238 - 147 - 236).
1450*i**2
Expand (0 + 1 - 4)*(-1102*r - 447*r + 298*r + 103*r)*(-4 - r + 4).
-3444*r**2
Expand (2 - 5*b - 2 - 2)*(5*b + 1 - 1)*(-34*b**2 + 34*b**2 - 19*b**2) + (3*b**3 - 2*b**3 - 3*b**3)*(-2*b - 3 + 3) + 0*b**3 + 0*b**3 + b**4.
480*b**4 + 190*b**3
Expand (-10 + 5 - 12 + (-2 + 4 - 4)*(2 + 0 - 1))*(0*u + 2*u + 0*u) - 16719 + 16719 + 581*u.
543*u
Expand (-121 + 55 - 88)*((2*q + 2*q - 5*q)*(-10*q + 2*q + q) + (q + 0*q - 3*q)*(0*q + 4*q - 2*q)).
-462*q**2
Expand 37*s**5 - 17*s**5 + 53*s**5 + (0*s**2 - 2*s**4 + 0*s**2)*(s - 4*s + s) + (2 + 3*s + 3*s**4 - 4*s**4 + 0*s**4)*(-21 + 21 + 13*s).
64*s**5 + 39*s**2 + 26*s
Expand (-15*p - 2598 + 3514 + 49*p)*(-3 + 4 - 2).
-34*p - 916
Expand (11 + 10 - 28 - 4*t)*(-20 - 30 - 25)*(0 + 3 + 1).
1200*t + 2100
Expand (-k + 0*k + 0*k)*(828*k + 1938*k + 1486*k).
-4252*k**2
Expand (95 + 70 + 98 - 14 - 44)*(4 - 19 - 4)*(z**2 + 2*z**2 + 0*z**2).
-11685*z**2
Expand (-7 + 4 + 4 + 57*k - 1)*(-63*k + 1 + 7*k + 3*k).
-3021*k**2 + 57*k
Expand (204*s - 385*s + 122*s - 17)*(-2*s - 1 + 1).
118*s**2 + 34*s
Expand (1 + 3 - 3)*(-3*q**3 + 5*q**3 - 5*q**3) + (6*q**3 - 14*q + 14*q)*(-2 + 4 - 3) - 32*q**3 + 251*q - 251*q.
-41*q**3
Expand -j + 2*j - 3*j + (5 - 4 - 2)*(-4*j - 3*j + 5*j) + (659*j - 24970 + 24970)*(1 + 1 + 0).
1318*j
Expand (2 + 2 - 5)*(2 + 0 - 1)*(-3 - 13 - 24)*(6*q - 4*q - 6*q).
-160*q
Expand (260*t - 51*t + 377*t)*(5*t**2 - 5*t**2 - 2 - t**2).
-586*t**3 - 1172*t
Expand w + 0*w + w + (0*w + w + 2*w)*((-4 - 1 + 3)*(4 - 5 + 2) - 4 + 2 + 0 + 1 - 3 + 1 - 6 - 2 + 3)*(-1 + 5 - 1)*(-3 + 2 - 1).
182*w
Expand (s**2 + 2 - 2)*(4*s**3 - 62 + 62) + (-s**4 - s**2 + s**2)*((-13*s + s - 7*s)*(0 - 1 + 0) + (2*s + 0*s - s)*(-2 + 6 - 2)).
-17*s**5
Expand (906*g - 260*g - 1 + 49*g + 2091*g)*(-16*g - 8*g + 2*g).
-61292*g**2 + 22*g
Expand (3*h**4 - 2*h**4 - 4*h**4)*(-6 + 0 + 3) + (4*h - 6*h + h)*(-12*h**3 - 12*h**3 - 7*h**3).
40*h**4
Expand (4*q**2 - 2*q**2 - 4*q**2)*(-7*q**2 + 28 - 28) + 247*q**4 - 116*q**4 + 186*q**4.
331*q**4
Expand (-2*n**2 - n**2 + 0*n**2)*(0*n + 0*n + n) - 3*n - 8*n**3 + 3*n + 6*n**2 + n**2 + 11*n**2 + n**3 - 2*n.
-10*n**3 + 18*n**2 - 2*n
Expand (9 - 34 - 12 - 1 - 2 + 1 - 1 + 1 + 2 + (-1 - 1 + 0)*(3 - 2 + 0) - 4 + 1 + 1 + 1 - 3 + 0)*(6*n - 20*n + 0*n + (-n - n + 0*n)*(-2 + 6 - 2)).
774*n
Expand (4*q - 4*q - 3*q)*(3*q**2 + q**2 + q**2) + (1 - 2 + 2)*(-26*q**3 + 60*q**2 - 60*q**2 + (-3*q - q + 3*q)*(3*q**2 - 2*q**2 - 3*q**2)).
-39*q**3
Expand (-237 - 1916 + 6077 + 13147)*(7*h - 6*h + 0*h)*(3 + 2*h - 3).
34142*h**2
Expand (18 + 4774*j - 5 - 6 - 7)*(10*j**2 + 10*j**2 - 8*j**2).
57288*j**3
Expand (3532 + 57*t**3 - 3532)*(-5 + 5 - 20*t).
-1140*t**4
Expand (1640889 - 1640889 - 2590*d)*(-d**2 - d**2 + 3*d - 2*d).
5180*d**3 - 2590*d**2
Expand (0*c**2 - c**2 + 2*c**2)*(9146 - 880*c - 9144 - 406*c).
-1286*c**3 + 2*c**2
Expand (-5758*k + 362173 - 362173)*(-3 - 1 + 6).
-11516*k
Expand (2 - 1 - 6)*(0*b + 2*b + 2*b)*(0 + 1 + 1 + 8 - 2 - 2 + (2 + 2 - 3)*(1 - 5 + 0)).
-40*b
Expand (-8 + 9 + 0)*(1 - 4762*z**2 + 4760*z**2 + 2*z - 18).
-2*z**2 + 2*z - 17
Expand (-36 - 69 - 21)*(-3*x + x + 0*x) - 8*x + 16*x + 9*x.
269*x
Expand 6*x**2 + 9*x**2 - 2*x**2 + (5*x + 2 - 2)*(x + 2 - 2) - 2*x**2 - 4*x**2 + 3*x**2 + (-1 + 6 + 1)*(3*x**2 - x**2 + 0*x**2).
27*x**2
Expand (-x - 2*x + 5*x)*(118056*x + 114097*x - 242679*x).
-21052*x**2
Expand (3*l - 3*l - 2*l)*(7104 - 4332 + 3761 + 1244 + 6577).
-28708*l
Expand (-t - t + 14*t)*(-28 + 28 - 11*t + (t + 4*t - 3*t)*(2 - 6 + 0)).
-228*t**2
Expand (s + s + 0*s)*(-10 - 8 + 913*s**3 + 18 + 1545*s**3).
4916*s**4
Expand -b**2 + b**2 - b**2 + (-2*b + b + 3*b)*(b - 3*b + 6*b) + 367 - 90 - 93 - 89 - 3693*b**2 - 95.
-3686*b**2
Expand (2 - 1 + 2)*(2*a**5 + 3*a**5 - a**5) - 101*a**5 - 66*a**5 + 36*a**5.
-119*a**5
Expand (k**2 - 3*k**2 + 3*k**2)*(0 + 2 - 1) + (-9 + 9 + k)*(k + 0*k - 4*k + 20).
-2*k**2 + 20*k
Expand (-y**3 + 3*y**3 - 4*y**3)*(-2*y - 4*y - 5*y)*(4 + 0 + 1)*(3 - 3 + 4 + (1 + 1 - 1)*(-1 - 2 + 0) + 3 - 2 + 0).
220*y**4
Expand (-12*u + 11*u - 15*u)*((180 - 180 - 12*u)*(5 + 4 - 5) - 4*u + 2*u + 4*u + (u + 2*u - 2*u)*(0 - 1 + 2)).
720*u**2
Expand (p + 5*p + 8*p)*(-3*p**3 + p**3 + p**3 + (p - 2*p + 3*p)*(-2*p**2 + p**2 - 2*p**2) + 109*p - 109*p - 10*p**3).
-238*p**4
Expand (-3*n + 3*n + n**4)*(-3 + 4 - 8)*(-3*n - 5*n + 0*n) - 4*n**2 - n**5 - 6*n**2 + 6*n**2.
55*n**5 - 4*n**2
Expand (-15*x**4 - 2*x**4 + 7*x**4)*(-3 + 2 - 2 + 3 - 9*x).
90*x**5
Expand -15*x**3 - 4*x + 4*x + (127*x - 19*x + 67*x)*(-2*x**2 + 3*x**2 + 0*x**2).
160*x**3
Expand (-2*t**2 + 0*t**2 + 4*t**2)*(13*t - 7*t**2 - 13*t)*((-3 + 5 - 1)*(-7*t + 3*t + 7*t) + (4 - 4 - 4)*(-5 + 2 - 1)*(2*t + t - 2*t)).
-266*t**5
Expand (2 - 1 - 3)*(10*y - 210*y - 69*y)*(3 - 1 + 1).
1614*y
Expand 2*d**3 + 1 - 1 - d**3 + 4*d - 4*d + (2*d**3 + 2*d**3 - 5*d**3)*(4 + 0 - 2) + 22*d**3 - 7*d**3 - 10*d**3 + 8 - 8 - d**3 - 4*d**2 + 11*d**3 + 4*d**2.
14*d**3
Expand (-4 - 270 - 158)*(-c + 2*c - 2*c) + (-4 + 3 - 2)*(2 - 2*c - 2) + 2*c - 3*c - 2*c.
435*c
Expand -9*j**3 + 826*j - 6*j**2 - 72 - 3*j**4 + 7*j**2 - 827*j + (-3 + 3 - 2*j)*(-3*j**2 - 2*j**3 + 3*j**2).
j**4 - 9*j**3 + j**2 - j - 72
Expand (169 - 5*y - 169)*(-117*y**4 + 169*y**4 + 109*y**4).
-805*y**5
Expand -33*i**4 + 3*i**4 + 9*i**4 + 12*i**4 + 15*i - 15*i + (1 - 1 - 2*i**3)*(3*i - 2*i + 0*i) + (i**3 - 3*i**3 + 3*i**3)*(-i - 2*i + 5*i) + i**2 - i**2 + i**4.
-8*i**4
Expand (-3*m**3 + 4*m**3 - 3*m**3)*(-2*m - m + m)*(4580 + 449 + 1398).
25708*m**4
Expand
|
{
"pile_set_name": "DM Mathematics"
}
|
from kbjkdkbvkjddkjkbkdk. Give prob of sequence bj.
1/38
What is prob of sequence ffh when three letters picked without replacement from {z: 2, f: 4, d: 1, h: 1, x: 3}?
2/165
Calculate prob of sequence et when two letters picked without replacement from eweuuuttuuwuuutt.
1/30
What is prob of sequence uj when two letters picked without replacement from {j: 7, u: 2}?
7/36
What is prob of sequence vuvj when four letters picked without replacement from {d: 7, u: 2, v: 5, j: 5}?
25/11628
Three letters picked without replacement from {l: 7, f: 6}. Give prob of sequence lll.
35/286
Three letters picked without replacement from fohookf. What is prob of sequence okf?
1/35
Calculate prob of sequence jh when two letters picked without replacement from {e: 4, v: 3, h: 7, j: 2, l: 2}.
7/153
Four letters picked without replacement from {t: 1, m: 2, n: 6, f: 1, l: 2}. What is prob of sequence lnlt?
1/990
Four letters picked without replacement from rccrrrrrrcrrrr. What is prob of sequence rccc?
1/364
Two letters picked without replacement from zzfszzzzzfzs. What is prob of sequence zf?
4/33
What is prob of sequence hhh when three letters picked without replacement from hhhhhhhhgehhehhehhee?
91/285
Calculate prob of sequence fll when three letters picked without replacement from {l: 7, w: 1, f: 11}.
77/969
Three letters picked without replacement from {g: 5, l: 3, c: 2}. Give prob of sequence lgl.
1/24
Calculate prob of sequence bqx when three letters picked without replacement from {x: 2, q: 5, b: 4, s: 7}.
5/612
Three letters picked without replacement from {f: 2, q: 9}. What is prob of sequence qff?
1/55
Calculate prob of sequence fx when two letters picked without replacement from {f: 3, x: 3, y: 3, w: 1}.
1/10
What is prob of sequence gmgu when four letters picked without replacement from ngjneuejegem?
1/5940
Calculate prob of sequence oz when two letters picked without replacement from aawoazzwaboea.
1/39
What is prob of sequence mzzm when four letters picked without replacement from {z: 5, m: 5, f: 3}?
10/429
What is prob of sequence jr when two letters picked without replacement from {r: 3, j: 3, i: 5}?
9/110
Four letters picked without replacement from eeaeeaaeywaywqyee. What is prob of sequence aqwa?
1/2380
Three letters picked without replacement from {y: 1, f: 2, r: 2, s: 4}. Give prob of sequence ysr.
1/63
What is prob of sequence uu when two letters picked without replacement from ukzzkkzzkzu?
1/55
Calculate prob of sequence rs when two letters picked without replacement from {v: 2, r: 14, s: 1, k: 2}.
7/171
Calculate prob of sequence iikc when four letters picked without replacement from {x: 3, i: 2, c: 4, k: 1}.
1/630
Calculate prob of sequence pp when two letters picked without replacement from {p: 16, x: 2}.
40/51
What is prob of sequence lo when two letters picked without replacement from {o: 1, l: 2, t: 1, n: 2}?
1/15
Three letters picked without replacement from {f: 1, z: 2, b: 1, k: 4}. What is prob of sequence fkb?
1/84
Two letters picked without replacement from {x: 1, g: 3, h: 1}. What is prob of sequence xg?
3/20
What is prob of sequence wvww when four letters picked without replacement from wvwwwwwwvwww?
4/33
Three letters picked without replacement from oakpkpapkp. Give prob of sequence okp.
1/60
Two letters picked without replacement from wtccwcswcw. Give prob of sequence cc.
2/15
What is prob of sequence fv when two letters picked without replacement from {f: 2, x: 11, v: 2}?
2/105
Calculate prob of sequence dr when two letters picked without replacement from dmummmsmrmmmuml.
1/210
What is prob of sequence bq when two letters picked without replacement from dbbbqqqccqb?
8/55
Three letters picked without replacement from wopcwwpw. Give prob of sequence pww.
1/14
Two letters picked without replacement from {q: 1, b: 1, x: 4, p: 2, c: 3}. Give prob of sequence cx.
6/55
Three letters picked without replacement from yvvvkkbvbvvw. Give prob of sequence kvw.
1/110
Three letters picked without replacement from appppppapap. Give prob of sequence pap.
28/165
Calculate prob of sequence ol when two letters picked without replacement from vvevvvvevvvvlvo.
1/210
What is prob of sequence cnli when four letters picked without replacement from ntitliitlctinlil?
1/1092
Three letters picked without replacement from {z: 2, i: 4, q: 1, b: 3}. What is prob of sequence zqb?
1/120
Two letters picked without replacement from {t: 6, x: 12}. Give prob of sequence tx.
4/17
Three letters picked without replacement from mxxxmxxx. Give prob of sequence xxm.
5/28
Calculate prob of sequence pp when two letters picked without replacement from {p: 5}.
1
What is prob of sequence iu when two letters picked without replacement from tiuvutuubtvuutbbvutu?
2/95
Calculate prob of sequence zvzz when four letters picked without replacement from vdvdvvdddvvdzzzdvd.
7/12240
Three letters picked without replacement from {b: 5, w: 14}. Give prob of sequence wbw.
455/2907
What is prob of sequence cl when two letters picked without replacement from llnlaallc?
5/72
What is prob of sequence bnpp when four letters picked without replacement from {t: 4, n: 1, p: 2, b: 4}?
1/990
What is prob of sequence ki when two letters picked without replacement from {z: 3, t: 2, y: 1, u: 2, i: 2, k: 2}?
1/33
Four letters picked without replacement from xbbugx. What is prob of sequence uxbx?
1/90
Three letters picked without replacement from jzshzjjhhjsssjshjjj. What is prob of sequence hzj?
32/2907
Calculate prob of sequence dd when two letters picked without replacement from {d: 7}.
1
Calculate prob of sequence enln when four letters picked without replacement from yyhhynlyehnhyenn.
1/1820
Four letters picked without replacement from {m: 1, c: 7, a: 5}. Give prob of sequence cmaa.
7/858
Three letters picked without replacement from {j: 4, e: 2, i: 3, m: 1, s: 3, r: 2}. What is prob of sequence eir?
2/455
Calculate prob of sequence emb when three letters picked without replacement from mbbbe.
1/20
Calculate prob of sequence wm when two letters picked without replacement from mwmmwwmm.
15/56
Calculate prob of sequence zee when three letters picked without replacement from jzqzzezzzzzjezqeeje.
10/323
Calculate prob of sequence bx when two letters picked without replacement from bxbob.
3/20
What is prob of sequence lem when three letters picked without replacement from {l: 1, e: 1, j: 1, m: 1, p: 1}?
1/60
Four letters picked without replacement from {w: 10, z: 9}. Give prob of sequence zwww.
45/646
What is prob of sequence puh when three letters picked without replacement from pahhhkahku?
1/180
Three letters picked without replacement from wwpwiwipiii. Give prob of sequence ipp.
1/99
Three letters picked without replacement from {l: 2, r: 1, t: 1, i: 1, a: 4}. Give prob of sequence raa.
1/42
What is prob of sequence ev when two letters picked without replacement from evve?
1/3
Four letters picked without replacement from uhuhuu. What is prob of sequence uhuu?
2/15
Four letters picked without replacement from qqqq. What is prob of sequence qqqq?
1
Two letters picked without replacement from yxtxttbpxttt. What is prob of sequence px?
1/44
What is prob of sequence til when three letters picked without replacement from tataittaaktaltttt?
3/1360
Calculate prob of sequence soms when four letters picked without replacement from mssamammosbmmmabomm.
3/2584
What is prob of sequence vu when two letters picked without replacement from {r: 1, v: 1, u: 2}?
1/6
What is prob of sequence bbb when three letters picked without replacement from {b: 3, a: 2}?
1/10
Calculate prob of sequence lxl when three letters picked without replacement from {w: 2, x: 2, l: 2, j: 5, a: 1, o: 5}.
1/1020
Three letters picked without replacement from {a: 2, p: 2, t: 2}. Give prob of sequence tpa.
1/15
Two letters picked without replacement from {g: 2, j: 1, l: 3, a: 3, c: 3, i: 2}. What is prob of sequence la?
9/182
What is prob of sequence zze when three letters picked without replacement from {z: 18, e: 1}?
1/19
Two letters picked without replacement from {m: 3, x: 3, r: 5, y: 1, a: 3}. Give prob of sequence ya.
1/70
Calculate prob of sequence wc when two letters picked without replacement from cywgyyd.
1/42
Four letters picke
|
{
"pile_set_name": "DM Mathematics"
}
|
3
What is the greatest common divisor of 11863308 and 828?
276
What is the highest common divisor of 2409 and 148126?
11
Calculate the highest common factor of 25927 and 195631.
2357
Calculate the greatest common divisor of 16173 and 232060986.
5391
What is the greatest common divisor of 4516 and 63384318?
2258
Calculate the highest common divisor of 27682432 and 8832.
2944
Calculate the greatest common divisor of 294800 and 21854800.
4400
What is the highest common factor of 26446 and 189630?
14
What is the highest common factor of 136 and 20706?
34
What is the highest common divisor of 27322 and 107692?
38
What is the highest common divisor of 5515650 and 29664?
1854
What is the greatest common factor of 10 and 15484010?
10
Calculate the highest common factor of 3544 and 16474284.
1772
Calculate the highest common divisor of 777 and 7868457.
111
What is the greatest common divisor of 120638 and 3577?
49
What is the highest common divisor of 5791545 and 3580?
895
Calculate the greatest common factor of 5363285 and 480.
5
What is the highest common factor of 9758103 and 2037?
291
Calculate the highest common factor of 136017259 and 14.
7
What is the highest common factor of 30173693 and 55?
11
What is the greatest common factor of 711954 and 851?
37
Calculate the highest common divisor of 1761149 and 1077375.
2873
What is the highest common divisor of 94172 and 27872?
52
What is the highest common divisor of 4191040 and 12992?
448
What is the highest common divisor of 253423964 and 68?
68
What is the greatest common factor of 807141 and 11748?
267
Calculate the highest common factor of 1573008 and 156.
12
Calculate the greatest common divisor of 7319 and 526177548.
7319
What is the greatest common divisor of 273 and 235893?
21
Calculate the greatest common divisor of 630330 and 525.
15
What is the highest common divisor of 2211 and 246828?
201
Calculate the highest common factor of 1760 and 5682160.
880
What is the highest common divisor of 685563709 and 17?
17
What is the greatest common factor of 503823605 and 635?
635
Calculate the highest common divisor of 94573864 and 264.
88
What is the highest common factor of 20352 and 223992?
24
Calculate the highest common factor of 2085 and 115188744.
417
What is the greatest common divisor of 1100551 and 18057?
463
What is the highest common divisor of 165900016 and 20032?
5008
Calculate the highest common factor of 91580255 and 845.
845
What is the greatest common divisor of 28 and 15639764?
28
What is the greatest common divisor of 20 and 341328860?
20
Calculate the greatest common factor of 35672 and 7030816.
104
What is the greatest common divisor of 72 and 948024792?
72
Calculate the greatest common factor of 42858609 and 70967.
5459
What is the greatest common divisor of 27138755 and 2240?
35
What is the greatest common divisor of 1376 and 9984256?
1376
Calculate the highest common factor of 1046132962 and 14.
14
Calculate the highest common divisor of 1007804 and 56.
28
What is the greatest common factor of 12871518 and 618?
6
What is the greatest common divisor of 30 and 7844622?
6
Calculate the highest common divisor of 95804706 and 90804.
6486
What is the highest common divisor of 14016 and 7035156?
876
What is the greatest common divisor of 49257757 and 537?
179
What is the highest common divisor of 4384 and 240483224?
1096
What is the greatest common divisor of 1576 and 88632664?
1576
Calculate the greatest common divisor of 661115 and 68385445.
7265
Calculate the highest common factor of 294686 and 127400.
98
Calculate the highest common factor of 3243 and 5453139.
69
What is the greatest common factor of 221833146 and 6582?
6582
Calculate the greatest common factor of 10939721 and 236.
59
What is the greatest common factor of 5547 and 139492?
43
Calculate the highest common factor of 27261 and 15273.
9
What is the greatest common factor of 7786758 and 235818?
2382
What is the greatest common factor of 834 and 6910802?
278
Calculate the highest common divisor of 34584 and 173688.
24
What is the highest common divisor of 10419995 and 1030?
515
What is the greatest common factor of 2820 and 935790?
30
Calculate the highest common factor of 242081547 and 10302.
5151
What is the greatest common factor of 2927914 and 638?
22
What is the highest common divisor of 143083 and 19527?
23
What is the greatest common factor of 2676 and 91884?
12
What is the greatest common factor of 260 and 652684?
4
What is the greatest common factor of 161919 and 261869?
1999
What is the greatest common divisor of 1707552 and 19782?
126
Calculate the highest common factor of 13312 and 4394.
26
What is the greatest common divisor of 1800 and 446436?
36
What is the greatest common divisor of 1504 and 136515448?
376
Calculate the greatest common factor of 90999412 and 5502.
1834
Calculate the highest common divisor of 7195325 and 225.
25
What is the highest common factor of 48993 and 383901?
21
Calculate the greatest common factor of 1487095 and 5756822.
5041
What is the highest common factor of 360 and 31265880?
120
What is the greatest common divisor of 22686 and 517002?
1194
Calculate the greatest common divisor of 849811 and 27263.
137
What is the highest common divisor of 166138616 and 14?
14
What is the greatest common divisor of 1070032 and 208?
16
Calculate the greatest common divisor of 3562504 and 2200.
88
Calculate the greatest common divisor of 18296376 and 168.
168
Calculate the greatest common factor of 20938 and 239704.
722
Calculate the greatest common divisor of 584 and 8906.
146
Calculate the greatest common factor of 41738700 and 2400.
300
Calculate the greatest common factor of 27 and 5173797861.
27
Calculate the highest common factor of 652 and 59649524.
652
Calculate the highest common divisor of 22551903 and 198.
99
Calculate the highest common divisor of 630 and 17448390.
90
Calculate the highest common factor of 1307765004 and 21.
21
Calculate the greatest common divisor of 399175040 and 11.
11
What is the highest common divisor of 2650000 and 27984?
848
Calculate the highest common factor of 10965 and 63597.
2193
Calculate the highest common divisor of 10608 and 10477168.
3536
Calculate the highest common factor of 22 and 44939499.
11
Calculate the highest common factor of 1340 and 160340.
20
What is the greatest common divisor of 36927 and 987591?
33
Calculate the greatest common divisor of 4232021 and 42958.
47
Calculate the highest common divisor of 9509699 and 191.
191
What is the greatest common divisor of 256 and 1455584?
32
Calculate the greatest common factor of 35251275 and 50.
25
What is the greatest common factor of 21828 and 2116228?
68
What is the highest common divisor of 619135 and 15345?
55
What is the greatest common divisor of 83 and 5357813?
1
Calculate the highest common factor of 125215428 and 1937.
1937
Calculate the highest common divisor of 12492 and 6618.
6
Calculate the highest common divisor of 211631 and 2115076.
617
Calculate the greatest common divisor of 370674 and 2682.
18
What is the greatest common factor of 4697713 and 626203?
2381
What is the greatest common divisor of 7194 and 132326?
218
What is the highest common divisor of 1896 and 1811154?
474
Calculate the greatest common factor of 11008 and 296528.
688
What is the greatest common divisor of 710136 and 2016?
504
What is the highest common divisor of 4520796 and 14532?
84
Calculate the highest common factor of 110454675 and 226.
113
What is the greatest common divisor of 24943048 and 532?
76
What is the highest common factor of 777 and 1365411?
111
What is the highest common divisor of 74425792 and 224?
224
What is the highest common factor of 19534267 and 34464?
359
Calculate the highest common divisor of 98336 and 258.
2
Calculate the greatest common divisor of 111583 and 672739.
463
What is the greatest common divisor of 59524 and 1257180?
92
Calculate the greatest common divisor of 2242 and 788614.
38
Calculate the greatest common factor of 38984 and 3987.
443
What is the greatest common divisor of 636226074 and 22?
22
What is the highest common factor of 2292 and 1703237916?
2292
What is the greatest common factor of 1187088 and 6?
6
Calculate the highest common factor of 191072719 and 47.
|
{
"pile_set_name": "DM Mathematics"
}
|
the remainder when s is divided by 64.
62
Let s = -2320 - -2326. Suppose 2*j - 5*i = 281, 3*j + 2*j + 4*i = 752. What is the remainder when j is divided by s?
4
Suppose -2*n + 3 + 7 = 0. Let x = -2 + n. Suppose 5*t = -x*j - j + 180, 3*t - 5*j = 71. Calculate the remainder when 95 is divided by t.
31
Let m(o) = 241*o - 1807. Suppose 4*u = 20, -4*s = -2*s + 5*u - 51. Calculate the remainder when m(8) is divided by s.
4
What is the remainder when -75*((-160)/(-30) + -7) is divided by 17?
6
Let g = -620 + 951. What is the remainder when g is divided by 16?
11
Suppose 5*t - c = 430, -t + 62 = -0*t - 5*c. Let v(i) = 0*i**2 + 0 - 18*i + 23 - 3*i**2 - 6 + 34*i**2. What is the remainder when t is divided by v(1)?
27
Suppose 0 = 4*l - 21 + 1. Let y(x) = 3*x - 39. Let h be y(l). What is the remainder when 157 is divided by h/30 + 164/5?
29
Let o(p) be the second derivative of 2*p**3/3 + 5*p**2/2 - 15*p + 2. Calculate the remainder when o(25) is divided by 27.
24
Suppose 4*k + 3*q - 708 = 0, -306 = -5*k - 3*q + 576. Let n = -81 + k. Let b = -29 - -54. Calculate the remainder when n is divided by b.
18
Let r = 2044 - 1910. What is the remainder when r is divided by 58?
18
Suppose -2*o - 3*o = 3*y - 102, -y + 83 = 4*o. Let i(q) = -q**2 + 27*q - 43. Calculate the remainder when i(o) is divided by 42.
41
Suppose -4*n + 16 = 0, 5*f - 1460 - 1959 = 4*n. Calculate the remainder when f is divided by 67.
17
Let m = 135 - -7. Let w(b) = b**3 + 13*b**2 + 14*b + 42. What is the remainder when m is divided by w(-12)?
16
Let l(a) = 17*a**2 - 47*a - 181. Let q be l(-5). Let i = q + -446. What is the remainder when i is divided by 28?
5
Let k be 616/(6 - 10) - (0 + 3). Let w = 190 + k. Calculate the remainder when 33 is divided by w.
0
Suppose -5*b - 58 = -208. Let k = 4863 - 4840. Calculate the remainder when b is divided by k.
7
Suppose 52 = -8*z + 228. Let g = 15 + -12. What is the remainder when -13*g*(-2 - -1)*1 is divided by z?
17
Suppose 0 = -9*t - 5*k + 1300, 5*t - 330 = -3*k + 394. Let a = 2 + 9. Calculate the remainder when t is divided by a.
8
Suppose -3*o = 2*o + 5*c - 280, 0 = 2*o + 3*c - 113. Suppose 7*j - 50 = o. Suppose 13*g - j*g + 82 = 0. What is the remainder when g is divided by 7?
6
Let d = -65627 - -65711. Suppose 0 = 3*s + s - 700. What is the remainder when s is divided by d?
7
Let o(p) = 250*p**2 + 1322*p + 1321. Calculate the remainder when 3988 is divided by o(-1).
4
Let x = 61 - 61. Suppose o + x*s - 41 = -4*s, s + 181 = 4*o. What is the remainder when o is divided by (6/(-9))/((-2)/39)?
6
Let d(r) = 8*r**3 + r**2 + r - 7. Let k(i) = -i**2 - i + 3. Let s be k(0). Calculate the remainder when d(s) is divided by 28.
25
Let q = -18023 + 18058. Calculate the remainder when 2289 is divided by q.
14
Let v(a) = -7 - a + 7 + 4*a - 7. Calculate the remainder when v(14) is divided by 20.
15
Suppose 5*a - 100 = -150. Calculate the remainder when 73 is divided by 42 + (-9)/((-18)/a).
36
Let h = -36835 - -36843. What is the remainder when 35 is divided by h?
3
Let n = 10 - 4. Suppose -200 = m - n*m. Calculate the remainder when 1119/15 + -17 + 957/55 is divided by m.
35
Suppose -2*o + 20 = -y + 2*o, -3*o + 15 = -5*y. Let z be (-9)/(45/1330) + y. Let c = 388 + z. What is the remainder when c is divided by 42?
38
Let f = 47 - 33. Let b(h) = -26*h - 7. Let t(u) = -78*u - 20. Let o(v) = 11*b(v) - 4*t(v). What is the remainder when o(2) is divided by f?
13
Let w(d) = -147*d - 59. Let g be w(-22). What is the remainder when (-4 - g/(-65)) + (-2)/(-13) is divided by 6?
3
Let p be -364*(3 - 100/16). Suppose -8*z + p = 5*z. Suppose -235 = -4*y - y. Calculate the remainder when z is divided by y.
44
Suppose 26*o = 25*o - 2*h + 66, h = 3*o - 44. Suppose -2*i + 173 + 1451 = 0. Calculate the remainder when i is divided by o.
20
Let r = -204 - -238. Suppose x + r*x - 455 = 0. What is the remainder when 44 is divided by x?
5
Let d(s) = 16*s**2 + 4*s - 3. Suppose -78 = -4*u + 182. Calculate the remainder when d(-3) is divided by u.
64
Let v be 36*((1 - 3) + 1). Let h be ((-1)/(1*4))/(v/720). Suppose -3*c = h*c - 160. Calculate the remainder when 54 is divided by c.
14
Suppose 354*t - 120 = 351*t. Suppose 0 = -t*f + 15*f + 2600. What is the remainder when f is divided by 22?
16
Let r = 377 + -376. What is the remainder when 577 is divided by r?
0
Suppose 6*x = -x + 91. Suppose -x*p - 101 = -17*p - v, 2*p - 55 = v. What is the remainder when 49 is divided by p?
23
Let k = 9495 - 9279. What is the remainder when 509 is divided by k?
77
Suppose -9*k + d = -4*k - 105, -4*k + 5*d + 105 = 0. Suppose 0 = -11*a + 1762 + k. Calculate the remainder when a is divided by 33.
30
Let t = 240 + -59. Suppose -c + 196 - t = 0. Calculate the remainder when 119 is divided by c.
14
Suppose s + 3*s = -3*b + 18, -4*b - 20 = -2*s. Suppose 8 = 2*j - 2*y - 2, 5*j + y - 13 = 0. What is the remainder when ((-4)/j)/(-2)*51 is divided by s?
4
Let j(h) = h**3 + 4*h**2 - h - 7. Let a be j(-3). Suppose a*z + 4 = 44. Calculate the remainder when (-1 + 2)/(2380/(-217) + 11) is divided by z.
7
Suppose -537 = -3*s - 10*r + 15*r, s + 4*r - 213 = 0. Let a = -31 - -44. What is the remainder when s is divided by a?
7
Suppose -5*i - 3*q + 2765 = 0, -4*q - 1871 = -4*i + 341. Calculate the remainder when i is divided by 425.
128
Let p(q) = 2*q**2 - 14*q - 1536. What is the remainder when p(-38) is divided by 234?
12
Let u(f) = 6*f**2 - 641*f - 3168. What is the remainder when u(-5) is divided by 36?
7
Suppose 7*j - 995 = -351. Suppose -3*n + 8*n = -5*v + 15, -2 = 2*v. Calculate the remainder when j is divided by n/5 - 364/(-20).
16
Let l = 8 - 4. Suppose 2*a - 150 = -l*y, y - 6*y + 5*a = -225. Suppose 2*u - 20*z + 25*z = 10, 2*z + 8 = 0. What is the remainder when y is divided by u?
10
Let i = 3603 - 3512. What is the remainder when 270 is divided by i?
88
Let c(v) = -2*v**2 + 155*v - 2. What is the remainder when c(71) is divided by 13?
11
Suppose 30 + 9 = s. What is the remainder when s is divided by 1025/(-533)*-13 - 4/2?
16
Let s(l) = l**3 + 12*l**2 + 8*l - 12. Let a be 25 + (-2 - (3 - 8)) - 4. Calculate the remainder when 3453/a + 8/64 is divided by s(-11).
18
Let n be -12 - ((1 - -1) + -5 - 1). Let q = 14 + n. Suppose -q*r + 2*y = -3*r - 592, 761 = 4*r + 3*y. What is the remainder when r is divided by 39?
38
Suppose -34*k - 286 = 54. Let g(l) = -6*l + 40. Calculate the remainder when g(k) is divided by 13.
9
Calculate the remainder when (-45)/(-3)*16/3 is divided by (-339)/(-12) + 36/(-144).
24
Let h(l) = 81*l + 204. Let d be h(-4). What is the remainder when 199 is divided by d/(-14)*(504/(-27))/(-4)?
39
Let y(h) = h**2 - 8*h + 2. Let k be y(7). Let z = k + 52. Suppose 36*j - 828 = 27*j. What is the remainder when j is divided by z?
45
Let s = 124 + -61. Suppose -16 = -2*l - 2*k + 8, -5*k - 30 = -4*l. Suppose -6 - l = -p. Calculate the remainder when s is divided by p.
15
What is the remainder when (-30)/(-75)*475 + 6 is divided by 45?
16
Let c(d) = 19*d - 5. Let f be c(3). Suppose -24*p + 22*p = -f. What is the remainder when p is divided by 15?
11
Suppose -2*d + 23 = -3*k, -k + 17 = -2*d - 6*k. Calculate the remainder when (-2*8/12)/(d/(-279)) is divided by 32.
29
Let y = -13562 + 13688. What is the remainder when 2401 is divided by y?
7
Suppose -2*x + 24 = -64. Suppose 19*b + 4658 = -852. Let j = -278 - b. What is the remainder when x is divided by j?
8
Let g(k) = 22*k - 271. Let z(v) = 6*v. Calculate the remainder when g(13) is divided by z(1).
3
Let z(u) = 2*u**2 + 51*u - 249. What is the remainder when 590 is divided by z(-30)?
2
Let i be (-27)/36 - (-71)/4. Suppose -i = -4*n - 5. Suppose -520 = -n*v - v. Calculate the remainder when v is divided by 33.
31
Let c(d) = 3*d**2 - 88*d + 614. What is the remainder when c(7) is divided by 11?
2
Suppose 7 = h - 7. Suppose -560 = 17*o - 33*o. What is the remainder when o is divided by h?
7
Suppose 3*b - 145 = -u, -3*b - b + 198 = 6*u. Calculate the remainder when 189 is divided by b.
45
Suppose -290*o + 295*o - 2*c = 25, -2*o - 3*c + 29 = 0. What is the remainder when 39 is divided by o?
4
Suppose -i + 160 = 3*r, 4*r - 340 + 105 = 3*i. Let d = 20168 - 20155. Calculate the remainder when r is divided by d.
3
Let l = -19227 + 19327. Calculate the remainder
|
{
"pile_set_name": "DM Mathematics"
}
|
1.
-1, 0, 4, 6
Sort 17, 0, -774, -3 in descending order.
17, 0, -3, -774
Put -1, -16, -14 in descending order.
-1, -14, -16
Sort -1, 1, 2/25.
-1, 2/25, 1
Sort -2/7, 0, -8.21.
-8.21, -2/7, 0
Put 4, -1, -4, 5 in increasing order.
-4, -1, 4, 5
Sort -4.3, -155, 1.
-155, -4.3, 1
Put -1, -57, 4 in decreasing order.
4, -1, -57
Sort 7, 1, -5 in ascending order.
-5, 1, 7
Put 2, -19, 7 in descending order.
7, 2, -19
Sort -439, 2, -1, -3.
-439, -3, -1, 2
Put 0, 4, 6, 3 in ascending order.
0, 3, 4, 6
Put -7, -4, 1, -1, 3 in decreasing order.
3, 1, -1, -4, -7
Put 16, -0.2, -0.08, 1 in increasing order.
-0.2, -0.08, 1, 16
Sort 62, -1/3, -0.12 in descending order.
62, -0.12, -1/3
Put 0, -131, -3 in decreasing order.
0, -3, -131
Sort 5, 2, -2, -368 in descending order.
5, 2, -2, -368
Sort 3, 61, 37, -4, 5 in decreasing order.
61, 37, 5, 3, -4
Put -5, 14, -19, 3 in descending order.
14, 3, -5, -19
Put 2, 0, -289 in ascending order.
-289, 0, 2
Sort 0, -2, -61 in descending order.
0, -2, -61
Put 23, 9, 1, -5 in decreasing order.
23, 9, 1, -5
Put -15, -5, 0, 1, -3 in decreasing order.
1, 0, -3, -5, -15
Sort 0, -4, -8, -18.
-18, -8, -4, 0
Sort 211, 1, 5, 0 in decreasing order.
211, 5, 1, 0
Put -5, 1153, 6 in decreasing order.
1153, 6, -5
Sort -2429, 3, 7 in decreasing order.
7, 3, -2429
Put 15, 5, -7, 4, -1 in descending order.
15, 5, 4, -1, -7
Sort -5, 0, -23, -2 in ascending order.
-23, -5, -2, 0
Sort 5, -3/4, 0.5, -6, 3/5.
-6, -3/4, 0.5, 3/5, 5
Sort -1/8, 2/5, -25, 3/4.
-25, -1/8, 2/5, 3/4
Sort 5/8, -5/6, 7, 0.3 in descending order.
7, 5/8, 0.3, -5/6
Sort -4, -2, -610.
-610, -4, -2
Sort -7, -27, -3, -1 in descending order.
-1, -3, -7, -27
Sort -4, -448, 15 in descending order.
15, -4, -448
Sort 32, -6, 2, -4.
-6, -4, 2, 32
Put 2/19, -21, 2 in increasing order.
-21, 2/19, 2
Put 3/8, -4, 7/4, 2/17 in decreasing order.
7/4, 3/8, 2/17, -4
Put 0, -4, 1, 176, -0.4 in ascending order.
-4, -0.4, 0, 1, 176
Sort 7, -2, -0.08 in descending order.
7, -0.08, -2
Put 6, -20, 5/4 in decreasing order.
6, 5/4, -20
Sort 3, -3, 57 in descending order.
57, 3, -3
Put -22, 5, -4, -0.05 in descending order.
5, -0.05, -4, -22
Sort -5, 2, 5/3 in ascending order.
-5, 5/3, 2
Put 15, -4, 5 in ascending order.
-4, 5, 15
Put 17, 2, -5, -2, 5 in ascending order.
-5, -2, 2, 5, 17
Sort -2, -91, -4, 5 in decreasing order.
5, -2, -4, -91
Sort -3, 0, -141, -4 in descending order.
0, -3, -4, -141
Put -0.5, -1, 1, -1.2 in descending order.
1, -0.5, -1, -1.2
Sort -2, 2, -1, -8 in increasing order.
-8, -2, -1, 2
Sort -5, 0.1, 2/7 in descending order.
2/7, 0.1, -5
Sort 0, -0.4, -2/59.
-0.4, -2/59, 0
Sort -5, -1/5, 0.165 in decreasing order.
0.165, -1/5, -5
Put -0.2, 2/5, -310 in decreasing order.
2/5, -0.2, -310
Sort -6, -1, 6, -2 in decreasing order.
6, -1, -2, -6
Put 4, -6, 6, 12, 3 in decreasing order.
12, 6, 4, 3, -6
Put -4, 1, 23, 15 in ascending order.
-4, 1, 15, 23
Put -5, -155, -1 in increasing order.
-155, -5, -1
Sort 0.2, -0.2, -260 in ascending order.
-260, -0.2, 0.2
Sort -0.1616, -1/4, 0.1.
-1/4, -0.1616, 0.1
Sort 10/51, 2/9, -3.
-3, 10/51, 2/9
Put -0.2, 0.2, -2/9, 2/11 in descending order.
0.2, 2/11, -0.2, -2/9
Put 0.4, 3, -0.5, -293, -4 in decreasing order.
3, 0.4, -0.5, -4, -293
Sort 4, 1, -3.
-3, 1, 4
Sort -3, 1/3, 4, 3, -51.
-51, -3, 1/3, 3, 4
Sort -0.3, 334, 7 in descending order.
334, 7, -0.3
Put 3, -2, 39 in decreasing order.
39, 3, -2
Sort -2, 0, -6 in descending order.
0, -2, -6
Put -14, 1, -3, 5 in decreasing order.
5, 1, -3, -14
Put 11, -2, 0.1 in decreasing order.
11, 0.1, -2
Sort 4, 3, -10, -12, -2.
-12, -10, -2, 3, 4
Put 23, 171, 1 in increasing order.
1, 23, 171
Put -0.2, 0.12, 3, 1, 0.08 in increasing order.
-0.2, 0.08, 0.12, 1, 3
Put 10, 4, 34 in descending order.
34, 10, 4
Sort 4, 2, -148.
-148, 2, 4
Put 12, 20, -1, -21 in descending order.
20, 12, -1, -21
Sort 1, -1, 12, -65 in ascending order.
-65, -1, 1, 12
Sort -5, 3, 17, 2, 8.
-5, 2, 3, 8, 17
Sort 0, -2, 50 in descending order.
50, 0, -2
Put 3, 5, -115 in decreasing order.
5, 3, -115
Put 0.5, -0.4, -1, 1 in increasing order.
-1, -0.4, 0.5, 1
Put 113/13, -4, -1 in descending order.
113/13, -1, -4
Put -19, 229, -2/3 in increasing order.
-19, -2/3, 229
Put -12, -1, 4 in decreasing order.
4, -1, -12
Put 6, 0.09, 3, -2/9 in increasing order.
-2/9, 0.09, 3, 6
Sort -10, 1, 2, -4 in decreasing order.
2, 1, -4, -10
Sort -1, -18/83, 2/3 in ascending order.
-1, -18/83, 2/3
Sort -144, -3, -1 in ascending order.
-144, -3, -1
Sort 2/9, 0.1, -7, -50 in increasing order.
-50, -7, 0.1, 2/9
Put -0.4, -13, -0.07, 0.2, 1 in descending order.
1, 0.2, -0.07, -0.4, -13
Sort 2, 10, -2 in increasing order.
-2, 2, 10
Sort -2, -1, 119, 4 in decreasing order.
119, 4, -1, -2
Sort -0.01, -1/5, 65, 9 in decreasing order.
65, 9, -0.01, -1/5
Sort -46/5, -5, 0.062.
-46/5, -5, 0.062
Sort 1.5, 0.2, 2, -2 in increasing order.
-2, 0.2, 1.5, 2
Put -70, -0.4, 2/9 in descending order.
2/9, -0.4, -70
Put -10, 0.1, 0, -0.1 in decreasing order.
0.1, 0, -0.1, -10
Put 171, 8, -3, 4 in descending order.
171, 8, 4, -3
Sort 6, -1, 125, -6 in ascending order.
-6, -1, 6, 125
Put 21, 0, -2, 5 in ascending order.
-2, 0, 5, 21
Put 1, 0.1, -44 in descending order.
1, 0.1, -44
Sort -1, -17, -39 in descending order.
-1, -17, -39
Sort -6/11, 2, 0.081, -0.2 in decreasing order.
2, 0.081, -0.2, -6/11
Sort -4, 5, -13, 63 in ascending order.
-13, -4, 5, 63
Put 1, 5, -11, -13 in ascending order.
-13, -11, 1, 5
Put -2/13, 0, 3/5, -3 in descending order.
3/5, 0, -2/13, -3
Sort 3, 2/17, -1313, -3/4.
-1313, -3/4, 2/17, 3
Sort -7, -1, 83 in ascending order.
-7, -1, 83
Sort -0.1, -59, -1/6.
-59, -1/6, -0.1
Sort 1, 3, -4, 664 in increasing order.
-4, 1, 3, 664
Sort -0.5, 0.15, -4, 3/14.
-4, -0.5, 0.15, 3/14
Put 5, 7, -3, 4 in descending order.
7, 5, 4, -3
Put 1, -638, 4, -6, 2 in descending order.
4, 2, 1, -6, -638
Sort -125, -1, 4, -2 in descending order.
4, -1, -2, -125
Sort -2, 4, 73 in decreasing order.
73, 4, -2
Sort 4, 2, 3, -8 in ascending order.
-8, 2, 3, 4
Put 5, -0.5, 2, 9.7, -1/7 in increasing order.
-0.5, -1/7, 2, 5, 9.7
Sort -3, -4, 92, 2.
-4, -3, 2, 92
Sort -17, 2, -4 in increasing order.
-17, -4, 2
Sort 3, -5, 16, -12.
-12, -5, 3, 16
Put 181, -6, 3 in descending order.
181, 3, -6
Sort 1528, 4, 14 in decreasing order.
1528, 14, 4
Sort 0.4, 3, 1/5, -4 in descending order.
3, 0.4, 1/5, -4
Sort 18, 1/5, -3/7 in ascending order.
-3/7, 1/5, 18
Sort -5, 2, -239 in ascending order.
-239, -5, 2
Sort -2/7, 2, 0.1, -0.5, 9.4.
-0.5, -2/7, 0.1, 2, 9.4
Sort -3, -4, 0, -16 in descending order.
0, -3, -4, -16
Put -56, -2, -8 in increasing order.
-56, -8, -2
Put -9/4, 3/2, 0, -4 in ascending order.
-4, -9/4, 0, 3/2
Put 8, -3, 40, 2 in decreasing order.
40, 8, 2, -3
Sort 15, 221, -5 in increasing order.
-5, 15, 221
Put 0, -0.3, 2, 0.8 in increasing order.
-0.3, 0, 0.8, 2
Put 0, 1/3, -18/11 in decreasing order.
1/3, 0, -18/11
Put 2, 1/2, -58/5, -0.2 in descending order.
2, 1/2, -0.2, -58/5
Sort 5, -2/17, -1/3 in descending order.
5, -2/17, -1/3
Put 1/4, 3.4, -2, -0.2 in decreasing order.
3.4, 1/4, -0.2, -2
Put 6/137, 2, -2/13 in descending order.
2, 6/137, -2/13
Sort 0.37, 1/5, 5 in decreasing order.
5, 0.37, 1/5
Sort 0, -1, 5, 6 in increasing order.
-1, 0, 5, 6
Sort -2, 0, 3, -4.
-4, -2, 0, 3
Put 11, -5, 3, 1 in increasing order.
-5, 1, 3, 11
Put 0.3, -0.4, -0.3, 0.026 in decreasing order.
0.3, 0.026, -0.3, -0.4
Sort 5, 2, 4, 38, -2 in increasing order.
-2, 2, 4, 5, 38
Sort -3, 0, 3, -147 in decreasing order.
3, 0, -3, -147
Sort -3, 0, 74, 5 in descending order.
74, 5, 0, -3
Put 74, 5/3, 0.5 in increasing order.
0.5, 5/3, 74
Put 2, 5, 0, -5 in increasing order.
-5, 0, 2, 5
Put -0.5, -14, 6 in ascending order.
-14, -0.5, 6
Sort -6, 493, 0 in increasing order.
-6, 0, 493
Sort -0.5, -10, 2/15, 1 in ascending order.
-10, -0.5, 2/15, 1
Put -1/3, 6.6, -3/7 in ascending order.
-3/7, -1/3, 6.6
Put 66, -1, -3 in decreasing order.
66, -1, -3
Sort -2/17, 0.7, 0.332, -2 in decreasing order.
0.7, 0.332, -2/17, -2
Sort -4, 4, 3, 19 in descending order.
19, 4, 3, -4
Sort 3, 2, -8 in descending order.
3, 2, -8
Sort -5, 0, 1, 3 in decreasing order.
3, 1, 0, -5
Sort -5, 5, -513 in descending order.
5, -5, -513
Put -4, -1739, 0 in descending order.
0, -4, -1739
Sort 2, -105, 0 in decreasing order.
2, 0
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2404. What is the hundreds digit of w?
4
Let t be 0 + -4 - (-1326 + 2). Suppose -10*q + 20 = -6*q, 4*q = -4*b + t. What is the hundreds digit of b?
3
Suppose 2*r + 54*t = 55*t + 3194, 7972 = 5*r + 4*t. What is the units digit of r?
6
Let t be 1380/18 + (-24)/9 + 3. Let m = -37 + t. What is the units digit of m?
0
Let f = -23 - -28. Suppose 2*r - 141 = 3*y - 4*y, 2*y = -f*r + 284. What is the units digit of y?
7
Let t = -47 + 92. Let w = t - 11. What is the units digit of w?
4
Let s = 1044 - 680. Suppose 4*i + 5*o - s = 0, 0 = 5*i + 4*o + o - 460. What is the units digit of i?
6
Suppose 2*f + 4*w - 516 = 0, -w + 63 = -4*f + 1113. What is the units digit of f?
2
Let d(c) = c**2 - 10*c + 6. Let a be d(10). Suppose -659 = -a*x + 211. What is the hundreds digit of x?
1
Let g(d) = 137*d**2 - 3*d + 2. Let w(h) = -137*h**2 + 2*h - 2. Let t(v) = -2*g(v) - 3*w(v). What is the hundreds digit of t(1)?
1
Suppose 5*j = 5*d - 5, j - d = -3*d + 14. Let q(m) = -m**2 - 6*m - 1. Let f be q(-5). Suppose g - j = -2*b, -g = -f*b + 3*g + 8. What is the units digit of b?
2
Suppose 0 = 3*k - 5*k + 2434. What is the units digit of k?
7
Suppose -q + 5*q = -5*a + 13925, -q = -2*a - 3465. What is the hundreds digit of q?
4
Let j(h) = 16*h**3 + 5*h**2 - 8*h + 26. What is the units digit of j(4)?
8
Suppose 9*v + 2*c = 7*v + 816, 2*c = -v + 404. What is the hundreds digit of v?
4
Let a(d) = d**3 + 6*d**2 - 1. Let z(y) = -2*y**2 - 3*y - 2. Let i be z(-2). What is the tens digit of a(i)?
3
Let m(n) = 2*n - 1. Let u(t) = -15*t - 12. Let v(a) = -4*m(a) - u(a). What is the units digit of v(26)?
8
Let p(v) = 57*v**2 - 15*v + 113. What is the thousands digit of p(8)?
3
Suppose -6*t + 4*t = -2*c + 234, 601 = 5*c + 3*t. Suppose -4*n - 2*s + 131 = -c, -s = 4*n - 255. What is the units digit of n?
5
Let h = 139 + 540. What is the hundreds digit of h?
6
What is the tens digit of 3 + 1 + -3 - (-471)/1?
7
Let v = 35 + -57. Let u = 32 + v. What is the units digit of u?
0
Let g(r) = 5*r**2 + 2*r - 1. Let p be g(1). Suppose -o + 3*o + p = 0. Let z(k) = -8*k - 7. What is the tens digit of z(o)?
1
Let y(r) = -318*r + 140. What is the hundreds digit of y(-1)?
4
Let d(g) = -10*g - 7. Let u be d(7). Let c = 132 + u. Suppose -c = 4*k - 5*k. What is the units digit of k?
5
Let m = 903 + -258. What is the units digit of m?
5
Let n(x) = x**2 - 12. Let b be n(4). Suppose 0 = 3*r + 78 - 12. What is the units digit of ((-2)/b)/(r/1628)?
7
Let c(z) = -z**3 - 2*z**2 + 8*z + 8. Suppose 0 = 6*l + 30 - 0. What is the units digit of c(l)?
3
What is the hundreds digit of ((-1004)/(-2))/((-24)/(-6) + -2)?
2
Let n = -3 + 5. Suppose 2*v = 4*f - 2 - n, 3*v - 9 = f. Suppose 4*a - 3*l = 220, l - f*l = 0. What is the tens digit of a?
5
Suppose 0 = -4*t + 5*k + 19, t - k = -4*k - 8. What is the tens digit of 50*(2 - t - 0)?
5
Suppose -7097 + 52079 = 17*d. What is the tens digit of d?
4
Let s(z) = -z**3 - 2*z + 5*z**2 + 8 + 0*z + 7*z + 0*z**3. Let u be s(6). Suppose 55 = -u*l + 3*l. What is the tens digit of l?
5
Let s(u) = -u**2 - 2*u - 1. Let h be s(2). Let y be (-1 - h) + -3 + 0. Suppose -y*l + 5 = 3*r - 75, 5*l - 70 = -5*r. What is the tens digit of l?
1
Let t(n) = -n**3 + 3*n**2 + 5*n. Let l be t(4). Suppose -9 - 7 = l*c. What is the units digit of (-4 + 7)*c/(-6)?
2
What is the tens digit of (-85)/(-20) + -5 + (-3734)/(-8)?
6
Let i(s) = -s**2 + 12*s + 5. Let q be i(12). Let z be q/15 - (-10)/6. What is the units digit of 3/2 - (-95)/z?
9
Let l = -40 + 28. What is the tens digit of (1 + (-232)/l)*3?
6
Let k(o) = -5*o**3 + 2*o**2 + 6*o + 3. Let w = 28 + -31. What is the hundreds digit of k(w)?
1
Let d(w) = -w**3 + w**2 + w - 2. Let n be d(0). Let z be 1/(2*n/16). What is the units digit of (-56)/(-16) - (-6)/z?
2
Let l be ((-8)/4 + -2)/(1/(-1)). Suppose 2*y = l*z + 378, y - 189 = -z - z. What is the tens digit of y?
8
Suppose 0 = 5*j + 4*n - 475, j + 2*n + 380 = 5*j. Suppose -j = -2*c + 9. What is the tens digit of c?
5
Suppose 5*h - 164 = 311. Suppose 4*l - 140 = -4*w, -h = -3*l - 3*w + 5*w. Suppose 4*p = -2*d + 59 + 63, d - l = -p. What is the units digit of p?
8
Suppose -1318*o + 1820 = -1313*o. What is the tens digit of o?
6
Let a be 22/4 + (-4)/(-8). What is the tens digit of 28 - 6*(-3)/a?
3
Suppose -4*f = 3*i + 160, 3*i + 0*i = 2*f - 154. Let k be (104/3)/((-1)/(-3)). Let l = k + i. What is the units digit of l?
2
Let w(l) = 3*l**2 + 10*l + 8. Let n be w(10). Suppose -n = -5*k - 8. What is the units digit of k?
0
Suppose 0*g + 4*g + 24 = 0. What is the tens digit of 6 + g + 4 - -61?
6
Suppose -5*a + 5*v - 784 = -8764, 5*a = 2*v + 7989. What is the tens digit of a?
9
Let x(k) = 63*k**2 - 7*k + 84. What is the hundreds digit of x(6)?
3
Let f be 53 - 1/((-3)/12). Suppose -2*g = -3*t + 4*t - 47, t = 2*g - f. What is the units digit of g?
6
Suppose 3*i + 3*w - 21 = 0, -w + 4 = -3*i + w. Let h = -41 + 11. What is the tens digit of (i + 42/(-15))*h?
2
Let m be (-5 + (-3 - -4))/(-2). Suppose -4*c + 658 = 5*a, a - 5*a = m*c - 326. What is the units digit of c?
7
Suppose 0 = -6*y + 2*y - 2*d - 2, -4*y - 3*d - 7 = 0. Let w = -33 - -105. Suppose 2*r = -y*r + w. What is the tens digit of r?
1
Let z(n) = -n**3 + 8*n**2 + 10*n - 7. Let r be z(9). Suppose -28 + 12 = -p - 3*k, -p + 21 = -r*k. What is the tens digit of p?
1
What is the hundreds digit of 1551 - 49/(-7) - -8?
5
Let h be (-3)/2*4/(-3). Suppose h*r + 1 = -5*g - 0, r = g + 10. Suppose 5*b - r = -2. What is the units digit of b?
1
Let j(q) = q**3 + 4*q**2 - 4*q + 1. Let l be j(-5). Let m be (8/10)/(l/10). What is the units digit of 25 + m/((-2)/(-3))?
2
Let d(u) = -2*u - 8. Let b be d(10). Let l = 35 + b. What is the units digit of l?
7
Let l be (68/51)/((-4)/6). What is the units digit of l/3 - (400/(-3))/2?
6
Let b(l) = 48*l + 1854. What is the hundreds digit of b(0)?
8
Let h(z) = -z**3 + 17*z**2 - 15*z - 11. Let g be h(16). Suppose -k + 114 = g*v - 348, 0 = -5*v - 3*k + 456. What is the tens digit of v?
9
Let a be (7/(-2) + -1)*(-8)/6. Suppose -604 = -4*p + 4*k, -a*k = 5*p - 5*k - 731. What is the hundreds digit of p?
1
What is the thousands digit of 36/(-234) - (-13236)/13?
1
Suppose 0 = 4*y - 5*f - 2457, 5*f = -8 - 17. What is the hundreds digit of y?
6
Suppose -5*k + y + 27171 = 0, -2*y + 1 = -3*y. What is the tens digit of k?
3
Let r be (-3)/(-2)*(-14)/3. Let l be 1/r - 7/(-49). Suppose 45 = 5*s + 2*y, l = s + 5*y + 5 - 14. What is the units digit of s?
9
Let z(q) be the first derivative of 12*q - 4*q**2 - 4 - 1/3*q**3. What is the units digit of z(-9)?
3
Let j be (-51)/(-48)*4 + (-2)/8. Let g = 0 + j. What is the units digit of g?
4
Let o be 3/(-4) - -1 - (-5735)/148. Suppose 3*x - 30 - 59 = -5*l, 0 = x - 3*l - o. What is the tens digit of x?
3
Let i(p) = 9*p**2 - 2*p - 6. Let m(a) = a**2 + 6*a + 3. Let j be m(-5). What is the tens digit of i(j)?
3
Let s = -83 - -69. Suppose 4*h - 2*h + 14 = 0. What is the tens digit of (-292)/h - 4/s?
4
Let v = 129 + -119. Suppose -v*w - 544 + 2104 = 0. What is the units digit of w?
6
Suppose 0 = 7*u + 2*u - 4950. What is the units digit of u?
0
Let l(i) be the third derivative of -i**6/60 + 4*i**5/15 - i**4/12 - 5*i**3/2 + 8*i**2. What is the tens digit of l(7)?
6
Suppose -36*g = 27123 - 123639. What is the tens digit of g?
8
Let i be -4 - (-3)/((-9)/(-462)). Suppose -5*z = -0*z - i. Suppose 0 = m + 2*y - z + 8, -m = -4*y - 52. What is the units digit of m?
2
Let a(y) = -91*y - 192. What is the thousands digit of a(-23)?
1
Let u(w) = w**3 + 7*w**2 - 22*w + 12. Let k be u(9). What is the tens digit of k/9 + 6/9?
2
What is the hundreds digit of -1861*1/3*-3?
8
Let j = -598 + 853. Let m = j + -11. What is the tens digit of m?
4
Suppose -w + 3*y + 3157 = 0, -3*w - 4*y - 1061 + 10584 = 0. What is the units digit of w?
9
Let h(b) = -b**3 + 5*b**2 + 2*b - 2. Let p be h(6). Let i = p + 44. What is the units digit of -9*5*(-24)/i?
0
Suppose -4*x + 0*x + 36 = -2*f, -28 = -3*x + 2*f. Suppose -305 = 3*d - x*d. What is the tens digit of d?
6
Suppose -5*h - 1075 = -p + 2*p, -h - 5*p - 191 = 0. Let s = h + 323. What is the tens digit of s?
0
Let p = -41 + 70. Let t = p - -2. What is the tens digit of t?
3
Let f(v) be the second derivative of -v**4/12 - 3*v**3/2 - 7*v**2/2 + 8*v. What is the tens digit of f(-5)?
1
Let w be (6 - 7)
|
{
"pile_set_name": "DM Mathematics"
}
|
Is u/(-70) - (-8)/z a multiple of 24?
True
Suppose -g - 5*b = -120, 2*g + b - 185 = 2*b. Does 19 divide g?
True
Let s = 49 - 45. Suppose -25 = 2*k - 3*m, -2*k + 4*m - 30 = -0*k. Let p = s - k. Is 9 a factor of p?
True
Is (-7)/(-3) + -3 + 204/9 a multiple of 14?
False
Let j be (2/(-8))/(2/(-8)). Does 27 divide (1 - (-87)/3) + j + -2?
False
Suppose h + 9 = 2*h - n, -h + 15 = -3*n. Suppose -5*p + 8 = -2*j, 3*p + p - h = 2*j. Suppose 30 = p*o - o. Is o a multiple of 10?
True
Suppose 0 = -3*r + 9, g + 70*r = 69*r + 1158. Does 5 divide g?
True
Let q = 1826 - 387. Is 38 a factor of q?
False
Suppose -f + 45 = 4*f. Is 6/f + 0 - 1299/(-9) a multiple of 29?
True
Let j = 11 + -15. Let k(a) = a**3 + 4*a**2 - a - 2. Is k(j) a multiple of 2?
True
Let c(l) = -l**2 - 7*l + 19. Let o be c(-9). Does 14 divide -2 + (-4)/((-12)/51) - o?
True
Let b(d) = d**3 - 35*d**2 + 35*d - 8. Let m be b(34). Let x = m - -30. Does 8 divide x?
True
Suppose -43 = 3*p - 1555. Does 9 divide p?
True
Let f(c) = c**3 - 14*c**2 + 38*c - 7. Does 4 divide f(11)?
True
Suppose 645 = 3*v + 2*a, 0*v = -3*v + 3*a + 630. Suppose -147 = -3*j + v. Is j a multiple of 24?
True
Suppose 4*a - 5*c - 725 = -0*c, -177 = -a - 3*c. Is a a multiple of 30?
True
Let t = -3792 + 7017. Is t a multiple of 11?
False
Suppose -5*f = x + 3*x + 23, 5*f + 11 = -3*x. Let w(t) = t + 13. Let d be w(x). Suppose -h + d = -27. Is h a multiple of 28?
True
Let o(f) = 3*f**2 - 7*f + 14. Let l be o(4). Suppose 0 = 5*x + i - 44 - l, -4*i - 8 = 0. Is x a multiple of 8?
True
Let t(p) = p**3 - 8*p**2 + 7*p + 8. Let i be t(7). Let v(b) = 0 - 9*b**2 - 3 + 2*b**3 - 5*b**3 + 9*b + 4*b**3. Is 5 a factor of v(i)?
True
Does 30 divide 23121/45 + 4/20?
False
Let f(d) = 6*d**2 + 6*d + 15. Is 9 a factor of f(-5)?
True
Suppose 5*k + 2*a = 8, -4*k + 0*a + 9 = -a. Suppose 5*w - 4*h = 10, -k*h + 0*h + 16 = w. Is 4 a factor of (-4)/w - 748/(-33)?
False
Suppose -4*i = -116 - 188. Suppose -132 = -i*f + 72*f. Is 12 a factor of f?
False
Suppose 0*h - 8 = -4*h, 4*x + 2 = -3*h. Let z = x - -242. Does 15 divide z?
True
Let i(j) = 0*j - 4*j + 2 + 5*j**2 + 94*j**3 - 2*j**2. Does 9 divide i(1)?
False
Suppose 0*v - 36 = -2*v. Suppose -3*y + 27 = 3*i, y + 8*i + 11 = 3*i. Does 9 divide v/5*35/y?
True
Is 30 a factor of (-2549)/(-5) + ((-3)/5)/(-3)?
True
Let c be -4 + 7 - (-2 - 2). Suppose c*o = -0*o + 525. Is 15 a factor of o?
True
Let s = 83 - 71. Does 7 divide 40/s*3*15/2?
False
Suppose 3*a - 6 = 0, 4*a + 358 = 4*l + 3*a. Is l a multiple of 11?
False
Suppose -4*l + 411 = -5*r, -2*r + 4*r + 99 = l. Suppose 107 = 3*g - l. Is g a multiple of 18?
True
Let s = 12 + 7. Suppose -3*r = -i - i + 41, 3*i + 4*r - s = 0. Is i a multiple of 6?
False
Suppose 0 = -2*x + 16 - 8. Suppose -s - 285 = -x*s. Suppose 5*l + 0*l - s = 0. Does 7 divide l?
False
Suppose 4*q - 6 = 2*q. Suppose 4*n = 2*z - 48, 0*n = -q*z + 5*n + 77. Is 17 a factor of z?
True
Suppose -11*p + 22*p = 44. Suppose 0 = -p*f - 14*f + 1872. Is f a multiple of 13?
True
Suppose 3*l - 5*c - 365 = -64, 4*l + 2*c - 358 = 0. Is l a multiple of 23?
True
Let i be (6/2)/((-17)/(-51)). Suppose 8*x - i*x = -44. Is x a multiple of 44?
True
Let w be 1430/70 - 6/14. Is 3 a factor of 395/w - 2/(-8)?
False
Suppose 2*a = -4*n + 656, -4*a + 1337 = -0*a + 3*n. Does 13 divide a?
True
Suppose 1441 + 211 = 4*m. Suppose -o - d + m = 2*o, -5*o - 5*d = -675. Let n = -74 + o. Is 13 a factor of n?
True
Let a(f) = 7*f**3 - f**2 + 3*f - 3. Suppose -26 = -5*b - 16. Does 6 divide a(b)?
False
Suppose 18 = 2*s + 4*s. Suppose 2*x = 4*j + 34, -5*j - s = 2. Does 5 divide x?
True
Let a(j) = 22*j + 12. Is 18 a factor of a(17)?
False
Suppose g - 772 = 3*q, 4*g + 3*q - 2979 - 94 = 0. Is 84 a factor of g?
False
Let k = -4 + 6. Suppose -f + 555 = k*s, s - 4*f = 2*s - 288. Suppose -3*q - 19 = -5*d + s, 3*d + 5*q - 211 = 0. Is d a multiple of 22?
False
Let l(a) = -a**3 + 6*a**2 + 6*a + 10. Let m be l(7). Suppose -2*t - 3*s + 1 = -0*s, -t - m*s + 5 = 0. Does 12 divide 32 + 4 + (t - -4)?
True
Suppose 4*c = -t + 1284 + 1569, -2*t - 5*c = -5694. Suppose -16*b + t + 267 = 0. Is b a multiple of 31?
False
Is 1763 - (-3 - -7 - (2 - -3)) a multiple of 63?
True
Let d = -399 + 561. Let s = d - 18. Is 26 a factor of s?
False
Suppose 3*l = 10*l - g - 3053, 3*l - 3*g - 1311 = 0. Is 4 a factor of l?
True
Suppose -16 = -3*s + 380. Suppose p - 5 = -1, 5*p = -4*d + s. Suppose 0*j - d = -4*j + w, w - 4 = 0. Is 3 a factor of j?
False
Let k be 3/(-2)*(-20)/6. Suppose -4*w + 6*w - 323 = 5*b, b - 821 = -k*w. Is 41 a factor of w?
True
Suppose -2*s = -10 - 2. Suppose -g = -15 - s. Is g a multiple of 13?
False
Let n = 894 + -159. Is 15 a factor of n?
True
Let t(b) = 2*b - 34. Let p be t(-6). Let y = -118 + 187. Let l = y + p. Is 4 a factor of l?
False
Suppose -5*a + 5*p = p - 52, -2*a + 28 = 2*p. Let h(i) = -i**2 - 3 + 3*i + 11*i - 13. Is 8 a factor of h(a)?
True
Let i = 234 - 75. Let c = i - 39. Is 40 a factor of c?
True
Suppose -5*l - 7*w + 3*w + 38 = 0, 5*w + 55 = 4*l. Does 8 divide -6 + l + (11 - -1)?
True
Let m(n) = -8*n**3 - 3*n**2 + 6*n + 2. Let t be m(-4). Suppose 0 = 5*c - 38 - t. Is c a multiple of 10?
False
Let t be 10*(4 + 114/15). Suppose -6*h + 4*h = -t. Is h a multiple of 29?
True
Does 20 divide ((-33201)/(-34) - 19)/(1/2)?
False
Let n(u) = u**2 - 6*u + 24. Let s(q) = -2*q**2 + 13*q - 47. Let x(o) = -11*n(o) - 6*s(o). Is 2 a factor of x(11)?
False
Let g(i) = -9*i**3 + 5*i**2 + 2*i + 2. Let t(c) = -16*c**3 + 9*c**2 + 3*c + 3. Let p(r) = -5*g(r) + 3*t(r). Suppose -3*v - 7 + 1 = 0. Is 11 a factor of p(v)?
True
Suppose -12 = 17*q - 13*q. Let t(p) = -25*p - 10. Let n be t(q). Suppose 4*j = -j + n. Does 10 divide j?
False
Suppose -3*w = -u + 354, -3*u - 2*u = -4*w - 1726. Let g = u - 188. Suppose -12*d + g = -10*d. Does 13 divide d?
False
Let z(b) = -b**3 + b**2 + 13. Suppose 3 = 4*t - t. Let p = t + -1. Does 9 divide z(p)?
False
Suppose 63 = -7*w + 4*w. Does 18 divide (108/w)/((-6)/189)?
True
Let z(v) = 1489*v**2 + 7*v - 6. Is z(1) a multiple of 14?
False
Let t = 260 - 228. Is t a multiple of 16?
True
Let v(l) be the third derivative of l**5/60 - l**4/12 - 4*l**3/3 + 14*l**2. Does 2 divide v(-4)?
True
Let n be (-1 + (3/2)/(-3))*-2. Let x be (-3)/2*678/(-9). Suppose 216 = n*c - 3*t, 4*c + t + x = 386. Is 29 a factor of c?
False
Let u(c) = -23*c - 102. Does 3 divide u(-15)?
True
Let j be (-2)/(-5) + 16/(-40). Let o = 34 - j. Suppose 2*s - d - 40 = 3*d, -2*s + o = 2*d. Is s a multiple of 4?
False
Suppose -75*j + 67*j = -3744. Is 26 a factor of j?
True
Let g be 1/2*6 - 12. Let t = 11 + g. Suppose t*x + 5 - 119 = 0. Does 19 divide x?
True
Suppose 0 = 95*f - 110*f + 15000. Is f a multiple of 9?
False
Suppose 4654 = 8*i - 210. Is i a multiple of 15?
False
Suppose 2*n + s = 7*n + 14, 3*n - s = -8. Let x be (-4)/18 + (-1612)/36. Let g = n - x. Does 21 divide g?
True
Let x(i) = i**3 + 4*i**2 - 6*i. Let k be x(-5). Suppose k*c + 9 + 66 = 0. Let j = -3 - c. Does 5 divide j?
False
Let b = 1127 - 1106. Does 7 divide b?
True
Suppose -3*q - 165 = -3*g, -68 + 233 = 3*g + 2*q. Suppose -6*c + g = -c. Does 2 divide c?
False
Let i(z) be the third derivative of z**5/30 - z**4/24 + 43*z**3/6 - 11*z**2. Is 47 a factor of i(10)?
False
Suppose i = -5*x + 1198, i + x - 1234 = -28. Is 8 a factor of i?
True
Let q = -75 + 52. Let y = 84 + q. Is 7 a factor of y?
False
Let a = 918 - 508. Is a a multiple of 26?
False
Let j(b) = -b**2 - 12*b - 13. Let a be j(-10). Suppose a*h - 113 + 15 = 0. Does 9 divide h?
False
Let l be (-22)/77 + 2622/14. Let o = l + -112. Does 15 divide o?
True
Suppose -8*w + 2*f = -4*w - 1204, -2*f = -2*w + 598. Is w a multiple of 13?
False
Let t be 18*((-14)/(-4))/(-7). Let h be 10*(-4)/(t - -1). Suppose j - h*n + 28 = 2*j, 2 = 2*n. Does 23 divide j?
True
Does 5 divide (-1)/(-2)*912/(-3 + 11)?
False
Suppose p + 5*g - 33 = -10, -18 = -2*p - 3*g. Suppose 2*s + k - 6*k - 160 = 0, 0 = -5*k - 10. Suppose -p*z = -s - 42. Is 22 a factor of z?
False
Let q(t) = 370*t - 394. Is 10 a factor of q(7)?
False
Suppose h = -4*m + 3 + 2, 2*h - 10 = -3*m. Suppose 0 = h*t - 9*t + 224. Does 8 divide t?
True
Suppose 0*l = -3*l + 72. Suppose -25*b = -26*b + l. Is 5 a factor of b?
False
Suppose -3*l + 71 = 29. Let r = l - 11. Suppose r*q + 3 = 12. Is q a multiple of 2?
False
Let t(h) = -h**3 + 3*h
|
{
"pile_set_name": "DM Mathematics"
}
|
?
8
Suppose -3177 = 15*x - 4932. Calculate the remainder when 169 is divided by x.
52
Suppose -484*x + 503*x - 95 = 0. Let s = -5 - 7. Calculate the remainder when 4/(-16) + (-291)/s is divided by x.
4
Suppose -8*j = -58*j + 44600. Let v = j - 872. What is the remainder when v is divided by 3?
2
Let z be (-215)/(-20) + 3/(-4). Suppose 14*r = 9*r + z. Suppose -p - 110 = -6*p + 5*i, 0 = -r*p + 5*i + 47. What is the remainder when 39 is divided by p?
18
Let a(y) = -3874*y - 1537. What is the remainder when a(-5) is divided by 41?
39
Let j = -14 + 38. Let p be (318/j)/(1/4). Let g = 89 - p. Calculate the remainder when g is divided by 20.
16
Let d be -10*(22/(-10) + -3 + 4). Let z be d*(-3 + 2)/3 - -9. Calculate the remainder when 29 is divided by (77 - 12)*1/z.
3
Suppose 0 = -0*x - 2*x + 120. Suppose 0 = 3*o - 39, -2*q + 0*q + 429 = -521*o + 526*o. Calculate the remainder when q is divided by x.
2
Suppose 20*h - 1313 - 6327 = -20*h. Calculate the remainder when h is divided by 51.
38
Let i be -3*(24/(-18) + 0). Suppose q = 2*b - 126, -b = -i*b + 5*q + 182. What is the remainder when b is divided by 19?
7
Suppose -2*q + 33 = -163. Calculate the remainder when q is divided by 3 + (-10 - (9 - 31)).
8
Let y(o) = 2*o**3 - 3*o**2 - o + 4. Let w be y(1). Suppose 0 = w*u + 5*u - 602. Calculate the remainder when u is divided by 15.
11
Suppose f - 200 = -3*f. Let o(r) = -50*r - 142. Let c be o(-4). Suppose c = 9*d - f. Calculate the remainder when 68 is divided by d.
8
Suppose -2520 = 728*j - 371*j - 372*j. What is the remainder when j is divided by 4?
0
Let d = 7 + 7. Let l be -537 + (0 - 2) + (-90)/30. Let v = l + 566. What is the remainder when v is divided by d?
10
Suppose -2*l = c - 4, c = -2 - 2. Let y be (6*-6)/l*(-28)/6. Suppose y*v = 46*v - 12. What is the remainder when 3 is divided by v?
0
Let u(p) = -13*p**2 + 6*p - 10. Let f(x) = 11*x**2 - 5*x + 11. Let n(r) = -7*f(r) - 6*u(r). What is the remainder when n(9) is divided by 15?
10
What is the remainder when (187/5 - 3)/((-16)/(-3200)*16) is divided by 246?
184
Suppose 935 = 5*t + 870. Calculate the remainder when 1766 is divided by t.
11
Let r = 636 + -647. Let b(g) = -23*g - 195. What is the remainder when 463 is divided by b(r)?
57
Suppose -k = 2*k + 4*o - 15, -4*k + 4*o + 20 = 0. Suppose 0 = k*q - 68 - 117. Calculate the remainder when 146 is divided by q.
35
Suppose 5*g - h = 65, -3*g = -5*g - 2*h + 38. Suppose g*j + 380 = 5*q + 9*j, -q + 76 = 3*j. Calculate the remainder when q is divided by 21.
13
Suppose 1410*c - 4*v - 14344 = 1406*c, c - 4*v = 3577. What is the remainder when c is divided by 3?
1
Suppose 72 + 3 = 4*u + r, 120 = 5*u - 4*r. Let t = -15 + u. Suppose 3*m - t*h = 10 + 1, 4*m + 2*h - 6 = 0. Calculate the remainder when 2 is divided by m.
0
Let l(a) = 100*a**2 + 463*a + 10. Calculate the remainder when 311 is divided by l(-5).
116
Suppose 6740 = 4*v - u, 4*v + 6*u - 6477 - 291 = 0. Calculate the remainder when v is divided by 154.
146
Suppose -3*t + 7*t = -5*q + 279, 39 = q - 2*t. What is the remainder when 203 is divided by q?
50
Suppose -28*o - 1369 = -1481. Let n = 15 - -2. Suppose 7 = 2*c - n. Calculate the remainder when c is divided by o.
0
Let z(q) = 719*q + 4332. What is the remainder when 374 is divided by z(-6)?
14
Suppose 2*b - 3*u + 15 = 5*b, b + 3 = -3*u. Let g = b - -31. What is the remainder when g is divided by ((-69)/12 + 3)*-4?
7
Let l(q) = 831*q**2 - 4933*q - 233. Suppose 3*z - 233 = 292. What is the remainder when z is divided by l(6)?
5
Let f(t) = -14*t + 75. Suppose -2*l + 6 = -q, -3*l + 4 = q - 0. Let d = l - -22. Calculate the remainder when d is divided by f(5).
4
Suppose 16*h + 92 + 68 = 0. What is the remainder when 62 is divided by -4 + (-72)/(-5) + h/25?
2
Let d(k) = -2*k**2 - 40*k + 56. What is the remainder when 492 is divided by d(-21)?
2
Suppose 19*t = 1847 + 2105. Let v = 213 - t. Calculate the remainder when 107 is divided by v.
2
Let r = 5475 + -5471. Calculate the remainder when 6611 is divided by r.
3
Suppose 355 = 3*m - 38. Suppose 5*n - m - 139 = 0. Let r(x) = x**3 - 2*x**2 - 2*x - 3. What is the remainder when n is divided by r(4)?
12
Let l be 12*(1 + 246/12). Let j = 305 - l. Calculate the remainder when 656 is divided by j.
45
Let m = 320 - 340. Let n(y) be the first derivative of -y**4/4 - 22*y**3/3 - 24*y**2 - 9*y - 9. Calculate the remainder when n(m) is divided by 38.
37
Suppose 5*y - 92 = 158. Suppose 67*k - 65*k - 4 = 0. Suppose -211 - 268 = -k*n - 5*x, 0 = 4*n - 5*x - 1003. What is the remainder when n is divided by y?
47
Let d = 384 - 237. Suppose -4*c - 6*k = -5*k - 176, 3*c - 3*k = d. Suppose 3*b + w = 53, 0 = 4*w + 2 + 14. What is the remainder when c is divided by b?
7
Suppose 31 = j - 215*i + 210*i, 0 = 4*j - 3*i - 56. What is the remainder when 1377 is divided by j?
2
Let d(q) = -q**2 - 5*q - 3. Let i(r) = -3*r**3 - 9*r**2 + 92*r + 321. Calculate the remainder when d(-4) is divided by i(-4).
0
Let t(y) = y**2 - 6*y - 23. Let m be t(-3). Suppose s + m*s = 255. Calculate the remainder when s is divided by (-7)/(28/(-8)) + 11.
12
Let u = -282 + 310. Let t be 2 - -1 - 0 - -72. Suppose -t = -r - 4*r. What is the remainder when u is divided by r?
13
Suppose -8 = -11*q + 14. Suppose 5*f - q = 18. Suppose -f = -y - 1, s - 4*y - 8 = 0. Calculate the remainder when s is divided by 11.
9
Suppose -170 + 266 = 3*y. What is the remainder when 142 is divided by y?
14
Let z = 602 + -392. Let i = z + -198. What is the remainder when 67 is divided by i?
7
Let s(z) = -z**3 + 5*z**2 + 8*z - 6. Suppose 39*o - 25714 = -4*o. Calculate the remainder when 92/o + (-594)/(-26) is divided by s(6).
5
Suppose 3*m - 5*l - 30 = 0, -2*m + 5*l + 25 = -0*l. Let c be (-2)/(-5)*((-2)/(-1) + 3). Let a(v) = 5*v - 3. What is the remainder when a(c) is divided by m?
2
Let s = 29 + 19. Suppose 2*b + 277 = 9*z - 4*z, 2*z - 106 = -4*b. Suppose 0 = z*q + 8*q - 441. What is the remainder when s is divided by q?
6
Let q = -317 - -389. Suppose -16*z + q = -13*z. What is the remainder when 93 is divided by z?
21
Suppose -5*n = 6 + 9, -3*n = -j + 425. What is the remainder when j is divided by 57?
17
Let d = 60 - 52. Let q(t) = -t**2 + 11*t - 15. What is the remainder when q(7) is divided by d?
5
Let j(c) = 3*c**2 - 53*c + 244. What is the remainder when 6926 is divided by j(14)?
86
What is the remainder when 556 is divided by ((-42)/9 - -4)/(30/(-1530))?
12
Let d(y) = 103*y**2 + 5*y + 2812. What is the remainder when d(0) is divided by 97?
96
Let n = 117 - 121. Let g(m) = 2*m - 9. Let f(h) = -3*h + 11. Let a(v) = n*f(v) - 3*g(v). Calculate the remainder when a(15) is divided by 20.
13
Suppose -3*u + 23 = 2*n, -4*n + u = 3*u - 74. What is the remainder when 1888 is divided by n?
18
Suppose -14*d + 9 = -17*d. Calculate the remainder when 83 is divided by 1/(-3 - (1 + d))*-25.
8
Let s be 2/13 - 80/13 - -331. Suppose s = 15*j + 10*j. Calculate the remainder when 127 is divided by j.
10
Let r(j) = -j**3 + 8*j**2 + j + 10. What is the remainder when (-6)/8 + (-29)/(-2)*25004/1064 is divided by r(8)?
16
Suppose -m + 65 = -2*a + 32, 4*m - 3*a = 127. What is the remainder when 2200 is divided by m?
30
Let r = -6416 + 7128. What is the remainder when r is divided by 350?
12
Let n be (-2)/(-1) + -12 + 13. Suppose 4*s = i + 44 - 9, 2*s = n*i + 5. Suppose s*u - 140 = 5*u. Calculate the remainder when 53 is divided by u.
25
Let m(l) = 153*l + 5664. Let s(p) = p**3 + 14*p**2 - 4*p - 9. What is the remainder when s(-12) is divided by m(-37)?
0
Suppose 5*y - 5*j = 50, -3*y + 96 = 4*j + 31. Suppose 11*g - 7 = y. What is the remainder when 143 is divided by g?
1
Suppose p + 8*s = 35, 4*p - 93*s + 96*s = 256. Calculate the remainder when 240 is divided by p.
39
Let c(s) = 23*s**2 - 7*s - 19. Calculate the remainder when c(-3) is divided by (2 - (-8 + 0))*1.
9
Suppose -48 = -9128*m + 9122*m. Let d = 11 - 5. Calculate the remainder when 29 is divided by (d/m)/((-1)/(-8)).
5
Suppose 15438 = 60*o + 126*o. What is the remainder when 253 is divided by o?
4
Let j(l) = -l**3 + 9*l**2 + 26*l - 7. Let i be ((-30)/(-35)*1)/((-1)/(-7)). Suppose i*q + 0*q = 114. Calculate the remainder when j(11) is divided by q.
18
Suppose -105*z + 11919 = -18*z. What is the remainder when 543 is divided by z?
|
{
"pile_set_name": "DM Mathematics"
}
|
s prob of sequence tt?
55/91
Calculate prob of sequence jkkk when four letters picked without replacement from {j: 2, k: 3}.
1/10
Calculate prob of sequence aa when two letters picked without replacement from {o: 4, a: 10, l: 5}.
5/19
Two letters picked without replacement from {n: 6, r: 8, k: 3, u: 2}. Give prob of sequence kr.
4/57
Four letters picked without replacement from bnbbbnnnbb. Give prob of sequence bnnn.
1/35
Three letters picked without replacement from {t: 1, c: 3, p: 5, n: 2, k: 1, y: 1}. What is prob of sequence kpp?
5/429
Calculate prob of sequence bgwg when four letters picked without replacement from {w: 3, b: 5, g: 2}.
1/168
Two letters picked without replacement from {o: 5, k: 5, j: 8}. What is prob of sequence ok?
25/306
Three letters picked without replacement from {q: 4, s: 9, z: 2, i: 1, p: 1}. Give prob of sequence zqp.
1/510
What is prob of sequence tftt when four letters picked without replacement from {f: 3, t: 8}?
7/55
Two letters picked without replacement from {b: 4, g: 8, e: 4}. What is prob of sequence gb?
2/15
Four letters picked without replacement from {p: 17, j: 3}. Give prob of sequence pjpp.
2/19
Two letters picked without replacement from ffflnndhnfflnhf. Give prob of sequence fh.
2/35
Three letters picked without replacement from {e: 1, w: 2}. What is prob of sequence www?
0
What is prob of sequence hjj when three letters picked without replacement from {h: 2, j: 9}?
8/55
Four letters picked without replacement from {m: 1, q: 2, p: 1, c: 1}. What is prob of sequence mcmp?
0
Four letters picked without replacement from {k: 4, n: 3}. Give prob of sequence nkkn.
3/35
Calculate prob of sequence oy when two letters picked without replacement from yyjojjjo.
1/14
Calculate prob of sequence eeik when four letters picked without replacement from krirerre.
1/840
Three letters picked without replacement from lhzkyulhluhhhhhhyh. Give prob of sequence khy.
1/272
What is prob of sequence bb when two letters picked without replacement from {t: 2, x: 1, n: 1, b: 2, k: 1, o: 2}?
1/36
Calculate prob of sequence nn when two letters picked without replacement from nwdndzdnwddzdznggn.
10/153
Two letters picked without replacement from {q: 6, l: 9, h: 4}. What is prob of sequence hh?
2/57
Calculate prob of sequence qpq when three letters picked without replacement from fuquqquqpqfcqpfp.
3/112
What is prob of sequence ajja when four letters picked without replacement from ownbawjoowww?
0
Two letters picked without replacement from {h: 1, i: 6, a: 9, m: 2}. Give prob of sequence am.
1/17
What is prob of sequence zh when two letters picked without replacement from {z: 1, t: 2, h: 1, n: 3}?
1/42
Calculate prob of sequence ojjo when four letters picked without replacement from jjjjojjjo.
1/36
Two letters picked without replacement from jjzjjjjjjjjjjjjjjj. What is prob of sequence zj?
1/18
Two letters picked without replacement from {e: 4, a: 2}. Give prob of sequence ee.
2/5
What is prob of sequence orr when three letters picked without replacement from orror?
1/5
Two letters picked without replacement from {c: 4, n: 2, e: 1, j: 12}. What is prob of sequence cc?
2/57
What is prob of sequence op when two letters picked without replacement from {p: 1, o: 1, t: 2, z: 2, h: 1}?
1/42
What is prob of sequence fzk when three letters picked without replacement from fkbkfkzkbkzf?
1/44
What is prob of sequence ff when two letters picked without replacement from iiiiiifiif?
1/45
Calculate prob of sequence dm when two letters picked without replacement from oooooddoohdomoo.
1/70
Calculate prob of sequence dcdc when four letters picked without replacement from {c: 4, d: 7}.
7/110
Two letters picked without replacement from kklatalkkl. What is prob of sequence lk?
2/15
Calculate prob of sequence vf when two letters picked without replacement from ffzuuvu.
1/21
Three letters picked without replacement from kdnnkknkkdkknnkw. Give prob of sequence wkd.
1/210
Calculate prob of sequence yee when three letters picked without replacement from eeyggeygeegyeeeeyey.
25/323
Two letters picked without replacement from cccscfccccccc. Give prob of sequence sc.
11/156
Four letters picked without replacement from tutbyyutgbuyvuv. What is prob of sequence gbut?
1/1365
Two letters picked without replacement from fxwffuufuwuufxwwuux. What is prob of sequence fu?
35/342
Three letters picked without replacement from {j: 1, g: 1, l: 1, q: 2}. What is prob of sequence gjl?
1/60
What is prob of sequence aaka when four letters picked without replacement from kknnknnaakkakkka?
2/455
What is prob of sequence qfq when three letters picked without replacement from faqaa?
0
What is prob of sequence pc when two letters picked without replacement from npinkkkjcnpi?
1/66
Calculate prob of sequence jg when two letters picked without replacement from {k: 1, e: 1, g: 1, s: 2, y: 1, j: 1}.
1/42
What is prob of sequence ozf when three letters picked without replacement from {z: 2, o: 1, l: 1, f: 2, s: 1}?
2/105
Two letters picked without replacement from {f: 11, q: 1, p: 2}. What is prob of sequence ff?
55/91
What is prob of sequence lxxf when four letters picked without replacement from ffaxbbfbfxffbfxxl?
1/680
Calculate prob of sequence jpi when three letters picked without replacement from {h: 2, i: 7, j: 1, o: 3, p: 1}.
1/312
Three letters picked without replacement from yygjyyyjyy. What is prob of sequence jgj?
1/360
What is prob of sequence dvd when three letters picked without replacement from dvdd?
1/4
Two letters picked without replacement from {n: 2, r: 1, c: 1}. What is prob of sequence nr?
1/6
What is prob of sequence jun when three letters picked without replacement from iinjniinjiuij?
3/572
Calculate prob of sequence sa when two letters picked without replacement from {d: 2, t: 2, v: 2, s: 2, n: 2, a: 4}.
4/91
Four letters picked without replacement from {f: 2, e: 1, w: 1, y: 1}. What is prob of sequence fyfe?
1/60
What is prob of sequence dd when two letters picked without replacement from {d: 3, j: 1, b: 1, i: 7}?
1/22
Two letters picked without replacement from {i: 2, a: 6, t: 3, w: 1}. Give prob of sequence aa.
5/22
Calculate prob of sequence wj when two letters picked without replacement from jjjwjwwjjwwwwhhwhhw.
3/19
Four letters picked without replacement from nojom. What is prob of sequence onjo?
1/60
Two letters picked without replacement from {r: 5, z: 3, a: 3, c: 1, w: 1, q: 4}. What is prob of sequence ra?
15/272
What is prob of sequence dc when two letters picked without replacement from {c: 2, d: 3, v: 13}?
1/51
Three letters picked without replacement from {h: 2, j: 7}. Give prob of sequence hjh.
1/36
What is prob of sequence ro when two letters picked without replacement from arklogk?
1/42
Two letters picked without replacement from {e: 1, p: 2, c: 1}. What is prob of sequence ce?
1/12
Two letters picked without replacement from hhlrrrrrllrrhlvhrh. Give prob of sequence vr.
4/153
Two letters picked without replacement from {a: 3, j: 4}. What is prob of sequence aj?
2/7
Three letters picked without replacement from {q: 17, w: 3}. Give prob of sequence qqq.
34/57
Four letters picked without replacement from zwzzwzzzssz. Give prob of sequence swsw.
1/1980
Four letters picked without replacement from {w: 3, n: 11}. Give prob of sequence nwwn.
5/182
Two letters picked without replacement from {h: 6, b: 2, n: 2, l: 10}. Give prob of sequence nn.
1/190
Calculate prob of sequence es when two letters picked without replacement from sssssssseseessqss.
39/272
Two letters picked without replacement from ddddygddgdyydddddddd. Give prob of sequence gd.
3/38
What is prob of sequence lb when two letters picked without replacement from {o: 2, l: 3, r: 3, b: 5, u: 5}?
5/102
Calculate prob of sequence lk when two letters picked without replacement from {i: 3, k: 4, h: 1, l: 1, p: 2}.
2/55
Two letters picked without replacement from gbgg. What is prob of sequence gb?
1/4
Calculate prob of sequence uwe when three letters picked without replacement from {w: 2, n: 1, y: 2, e: 5, u: 2, q: 1}.
5/429
Calculate prob of sequence rpgy when four letters picked without replacement from {y: 1, p: 1, g: 1, m: 1, h: 1, r: 2}.
1/420
What is prob of sequence frr when three letter
|
{
"pile_set_name": "DM Mathematics"
}
|
e of 9?
False
Does 517 divide 1779220?
False
Is 804875 a multiple of 25?
True
Does 480 divide 1830898?
False
Does 32 divide 1686211?
False
Does 26 divide 99144?
False
Does 4 divide 5339244?
True
Does 24 divide 678576?
True
Does 7 divide 6291236?
True
Is 7 a factor of 3138941?
False
Does 818 divide 137857?
False
Is 93 a factor of 264417?
False
Is 1102 a factor of 25210454?
True
Is 47082 even?
True
Is 92187 a multiple of 27?
False
Is 1942482 a multiple of 534?
False
Does 2 divide 6799?
False
Does 202 divide 4121134?
False
Does 30 divide 69025?
False
Does 11 divide 112189?
True
Does 318 divide 1153068?
True
Does 68 divide 933028?
True
Is 72 a factor of 167163?
False
Is 357854 a multiple of 7?
True
Is 20 a factor of 824046?
False
Is 22 a factor of 1945372?
True
Is 163976 a multiple of 8?
True
Does 56 divide 5880?
True
Is 7830593 a multiple of 8?
False
Does 189 divide 2219427?
True
Is 67 a factor of 222105?
True
Is 2209653 a multiple of 27?
True
Is 16 a factor of 52904?
False
Does 61 divide 9699820?
False
Is 2 a factor of 146271?
False
Is 883 a factor of 3967811?
False
Is 324764 a multiple of 489?
False
Is 1553411 a multiple of 59?
True
Is 6802904 a multiple of 4?
True
Is 5 a factor of 169021?
False
Does 5 divide 610295?
True
Is 85 a factor of 8263?
False
Is 720 a factor of 3429360?
True
Does 9 divide 51638?
False
Is 490759 a multiple of 101?
True
Does 6 divide 221650?
False
Is 152 a factor of 5919321?
False
Does 11 divide 15138317?
False
Is 13154945 a multiple of 81?
False
Does 49 divide 776591?
False
Is 71538 a multiple of 14?
False
Is 35 a factor of 417046?
False
Is 27 a factor of 25245?
True
Is 280 a factor of 10360?
True
Is 10640811 a multiple of 385?
False
Is 5239041 a multiple of 19?
True
Is 55 a factor of 1341?
False
Is 38134 a multiple of 10?
False
Does 74 divide 4797585?
False
Is 27 a factor of 6076317?
False
Is 22 a factor of 5432240?
True
Does 10 divide 7990360?
True
Is 16798395 a multiple of 69?
True
Is 64 a factor of 18426?
False
Is 931 a factor of 14022722?
True
Is 301 a factor of 4087558?
False
Is 186 a factor of 966779?
False
Does 14 divide 26394?
False
Does 6 divide 7572?
True
Is 47 a factor of 462151?
True
Does 14 divide 428674?
False
Is 808 a factor of 1233816?
True
Is 240506 a multiple of 574?
True
Does 2210 divide 2817750?
True
Is 837200 a multiple of 23?
True
Is 5845616 a multiple of 469?
True
Does 8 divide 6616?
True
Does 896 divide 7557760?
True
Does 12 divide 552948?
True
Is 4118400 a multiple of 88?
True
Is 70956 a multiple of 27?
True
Is 137517 a multiple of 15?
False
Does 1159 divide 13990289?
True
Is 466 a factor of 1341602?
False
Does 93 divide 1042812?
False
Is 343458 a multiple of 45?
False
Is 10122273 a multiple of 31?
False
Is 64220 a multiple of 8?
False
Is 230 a factor of 373290?
True
Does 607 divide 1474887?
False
Is 74387 a multiple of 4?
False
Does 11 divide 8367?
False
Does 141 divide 68385?
True
Does 469 divide 38458?
True
Is 3628560 a multiple of 208?
True
Does 275 divide 205123?
False
Is 1556096 a multiple of 461?
False
Is 5 a factor of 355068?
False
Does 26 divide 205634?
True
Is 367473 a multiple of 347?
True
Does 20 divide 625940?
True
Is 5028450 a multiple of 75?
True
Is 555 a factor of 3704070?
True
Does 54 divide 3383640?
True
Is 32616 a multiple of 191?
False
Does 274 divide 1549727?
False
Does 217 divide 582174?
False
Is 415 a factor of 355655?
True
Does 361 divide 501027?
False
Does 901 divide 3942776?
True
Does 14 divide 6613516?
True
Does 5 divide 2521?
False
Is 259899 a multiple of 41?
True
Is 33 a factor of 262218?
True
Does 22 divide 2135804?
True
Does 296 divide 142376?
True
Does 296 divide 506161?
False
Is 3027522 a multiple of 246?
True
Is 1386 a factor of 11807334?
True
Does 1019 divide 1420705?
False
Is 13 a factor of 1281478?
False
Does 36 divide 1246196?
False
Does 13 divide 2063274?
False
Is 5898031 a multiple of 102?
False
Is 2718 a multiple of 4?
False
Is 85 a factor of 330398?
False
Is 111 a factor of 2479134?
False
Is 17234376 a multiple of 933?
True
Does 10 divide 314020?
True
Does 626 divide 601253?
False
Is 286 a factor of 383057?
False
Does 560 divide 1627920?
True
Is 4532978 a multiple of 56?
False
Is 36 a factor of 19758016?
False
Does 49 divide 157440?
False
Is 2388464 a multiple of 5?
False
Does 238 divide 404600?
True
Does 69 divide 661739?
False
Does 7 divide 42076?
False
Is 128876 a multiple of 10?
False
Is 166 a factor of 644744?
True
Does 7 divide 123949?
True
Is 37 a factor of 473008?
True
Does 1202 divide 11038306?
False
Is 17860880 a multiple of 571?
True
Does 20 divide 9533260?
True
Does 83 divide 2939900?
False
Is 32358780 a multiple of 15?
True
Is 12 a factor of 452328?
True
Does 4 divide 2034878?
False
Is 10313216 a multiple of 14?
False
Is 13190400 a multiple of 720?
True
Is 1449371 a multiple of 873?
False
Is 165443 a multiple of 2?
False
Does 46 divide 19688?
True
Is 14196 a multiple of 14?
True
Does 606 divide 444804?
True
Is 460 a factor of 1635892?
False
Is 36702 a multiple of 2?
True
Is 21 a factor of 23400363?
True
Is 10 a factor of 311550?
True
Is 10 a factor of 815770?
True
Does 27 divide 176891?
False
Is 21 a factor of 225471?
False
Is 480 a factor of 10627291?
False
Is 584 a factor of 5327293?
False
Is 105600 a multiple of 16?
True
Does 673 divide 1449503?
False
Is 6053805 a multiple of 5?
True
Is 297592 a multiple of 197?
False
Does 55 divide 259414?
False
Is 19 a factor of 57983?
False
Is 2 a factor of 333132?
True
Is 322200 a multiple of 90?
True
Does 34 divide 68839?
False
Is 4268086 a multiple of 308?
False
Is 90309 a multiple of 758?
False
Is 295020 a multiple of 45?
True
Does 2 divide 23794?
True
Is 88884 a multiple of 18?
True
Is 717530 a multiple of 593?
True
Does 466 divide 557433?
False
Does 32 divide 2818528?
True
Is 60722 a multiple of 194?
True
Is 68528 a multiple of 14?
False
Does 10 divide 107090?
True
Does 7 divide 653628?
False
Is 95 a factor of 31278?
False
Is 16368758 a multiple of 37?
False
Does 48 divide 296016?
True
Is 1538010 a multiple of 45?
True
Does 851 divide 875504?
False
Does 78 divide 3139890?
True
Is 3599480 a multiple of 580?
True
Is 109 a factor of 9654786?
False
Does 125 divide 174061?
False
Is 17 a factor of 681707?
False
Is 570 a factor of 682442?
False
Does 242 divide 2617997?
False
Does 587 divide 3177713?
False
Is 14 a factor of 431326?
True
Does 13 divide 181337?
True
Is 81846 a multiple of 57?
False
Does 177 divide 16016022?
True
Is 448342 a multiple of 4?
False
Does 31 divide 120815?
False
Is 186 a factor of 5485286?
False
Is 228525 a multiple of 164?
False
Does 5 divide 21519?
False
Is 339048 a multiple of 24?
True
Is 9 a factor of 1411452?
True
Is 10 a factor of 9037?
False
Does 202 divide 501970?
True
Is 214407 a multiple of 527?
False
Is 249354 a multiple of 63?
True
Is 10 a factor of 42450?
True
Does 531 divide 2591280?
True
Is 2030 a multiple of 7?
True
Is 20 a factor of 247380?
True
Does 20 divide 34890608?
False
Is 42 a factor of 10057572?
True
Does 90 divide 452661?
False
Does 53 divide 4453961?
True
Does 100 divide 471692?
False
Is 145 a factor of 1270925?
True
Is 10402723 a multiple of 43?
False
Is 7038 a multiple of 23?
True
Does 31 divide 415710?
True
Is 40 a factor of 7178760?
True
Does 353 divide 1689838?
False
Is 37 a factor of 245635?
False
Is 26 a factor of 1607091?
False
Does 12 divide 295764?
True
Does 658 divide 7251818?
True
Is 1336315 a multiple of 646?
False
Does 268 divide 2017623?
False
Is 10 a factor of 1263250?
True
Is 519 a factor of 488021?
False
Is 32443 a multiple of 95?
False
Does 961 divide 6431204?
False
Is 8 a factor of 159451?
False
Is 403447 a multiple of 11?
True
Is 843178 a multiple of 16?
False
Is 13 a factor of 715?
True
Is 481806 a multiple of 174?
True
Is 28905 a multiple of 15?
True
Is 46148 a multiple of 89?
False
Is 4 a factor of 353432?
True
Is 82078 a multiple of 21?
False
Is 255 a factor of 917745?
True
Does 26 divide 286130?
True
Is 398 a factor of 1705828?
True
Does 21 divide 395355?
False
Is 22 a factor of 499064?
False
Does 184 divide 60352?
True
Does 325 divide 5155475?
True
Is 15 a factor of 263535?
True
Does 4 divide 197562?
False
Does 6 divide 910518?
True
Does 112 divide 241501?
False
Is 6394 a multiple of 5?
False
Does 27 divide 7128918?
Tru
|
{
"pile_set_name": "DM Mathematics"
}
|
(-976)/(-10) + 168/(-280). Suppose y = -6*a + 193. Solve 0 = -4*u + a, 2*u - 33 = -z*n + 5*n for n.
5
Let n(k) = 3*k**2 - 8*k + 7. Let i be n(3). Let a be 56/i + (-12)/90*-3. Solve 4*r = 20, 0 = 2*z + a*r - 2*r - 30 for z.
5
Let r be 1/4*6*(14 - 12). Let s be 2/r*(6 - -3 - 3). Solve -5 = k - 0*k, 5*o = s*k + 5 for o.
-3
Suppose q = -8*z - 380, -4*q = -5*q + 3*z - 380. Let s = q - -380. Let c(v) = 2*v**2 + 3*v. Let t be c(-2). Solve -t*u - d + 6 = s, 4*u - 37 = 5*d - 11 for u.
4
Suppose 60 = 9*i - 7*i. Suppose 0 = -i*y + 29*y + 15. Solve 0 = 3*j - 4*d + 13, j + y = 3*d + d for j.
1
Suppose 0*r + 4*r = -5*p - 25, -15 = 3*p. Suppose 3*z + 34*z - 583 = -16*z. Solve k - z = -5*i, r = -4*i + 3*k + k + 28 for i.
3
Suppose 0*b + 12 = 3*b. Let o be (-808)/88 + (-4)/(-22). Let f be o/(-3) - (-12 - 4/2). Solve -4*g - b*u - u + f = 0, 20 = 4*u for g.
-2
Suppose -3*f - q + 132 = 0, -8*f + 7*f = -4*q - 31. Suppose 30*p - 17 = f. Solve p + 0 = 2*v - 3*d, 3*v - 22 = -5*d for v.
4
Let n = -12201 + 12205. Solve -2*q = -2*x + 24, -10*x = n*q - 9*x + 13 for q.
-5
Suppose -g + 6*p + 7 = 3*p, 2*g - 25 = -5*p. Let b be -2 - 81/(-6) - (-5)/g. Suppose -b*f + 9*f + 15 = 0. Solve 4*o = 4*k - 24, -f*o - 14 = -2*k + k for o.
-2
Suppose -8*m = 3*m - 121. Solve -i - 1 = -4*d, i = -m + 6 for d.
-1
Suppose 133 = -k - 13*k + 21*k. Solve 3*x = 4*t - k, -44*t + 19 = -4*x - 45*t for x.
-5
Let c(r) = -r - 5. Let q(d) = -2*d - 14. Let u(t) = -16*c(t) + 5*q(t). Let a be u(4). Suppose 36 = v + a. Solve -h - 5*k + 5 = v*h, 2*h = 2*k - 18 for h.
-5
Suppose 0 = -3*b + r + 357 - 351, -2*b = -r - 4. Solve -18*t + 15*t = o, o + 1 = -b*t for o.
-3
Suppose -3*d - 12*n + 2435 = -16*n, -d = -3*n - 820. Let c = 805 - d. Solve 5*f + 10 = 0, 2*f + c*f = -l + 1 for l.
5
Let o be -15 - 42/(-6) - (-1 + 0). Let p(s) = -9*s**2 - 4*s**3 + 3*s**3 + 2*s**2 - 17 - 3*s. Let d be p(o). Solve 0*x - d = -x, 17 = -5*c - 2*x for c.
-5
Let y be -5*30/200*696/(-18). Solve 16 = -5*j - 3*q, -j + 33 - y = 3*q for j.
-5
Let q(z) = -z**2 - 25*z + 4007. Let v be q(-77). Solve -28*p = -30*p + v*o + 14, -5*o - 17 = 3*p for p.
1
Suppose -5*s - 98 = u - s, -5*s = -10. Let v = -70 - u. Let p = 40 - v. Solve -p*o = -3*w - 10, 3*w + 0*o - 2*o + 2 = 0 for w.
2
Let d be (-16)/4 + 4 + -8. Let r be d + (-5)/(10/(-4)). Let a(y) = -3*y**2 - 18*y + 2. Let j be a(r). Solve -l = -5*x + 21, -10 = -j*l - x - 2*x for l.
-1
Suppose 3*r = -4*y - 571, -4*r + 585 = -7*r + 3*y. Let g = r - -195. Solve 0 = 2*s - 5*j + 6, 3*s - 5*j = -g*s for s.
2
Suppose -o - b + 4*b - 15 = 0, o - 15 = -3*b. Let i(k) = k**3 - 3*k + 6. Let y be i(o). Solve 5*j + 8 = 5*m + j, 4*m + 3*j = -y for m.
0
Let h = 219 - 201. Suppose d + 3*l = 0, -h = d - 5*d - 3*l. Solve -3*j = -d*q + 2*q + 5, 2*q = -j + 15 for j.
5
Let c = -316 + 317. Solve -2*w - 2 = -0, -4*w = -f + c for f.
-3
Let b be 4/5*150/20. Suppose b*t - 3 = 33. Solve u + v = -0*u - 2, u = v + t for u.
2
Let t = 367 + -365. Suppose n - 3 = -t*d, 0*n = 4*d - n - 15. Solve -4*q + 22 = 2*f, f - 4*q = -d*q - 4 for f.
1
Let x be 98/(-21)*(-12)/14*1. Suppose -129 = -x*v - 105. Suppose -v*b + 9 + 15 = 0. Solve 13 - 4 = -t + 3*f, 4*t - b*f = -20 for t.
-3
Let n = -6652 + 6654. Solve -n*q + 14 = 3*j - 5*j, -q + 3*j = -11 for q.
5
Suppose 45 = 2*p - 8*f + 7*f, 0 = -2*p + 3*f + 51. Let c = 23 - p. Let z be (13 - 11)/(2/(-3)*-1). Solve 2*t - c*n = -2, n - z = -t - 4 for t.
-1
Let w = 34 - 86. Let x be (w/(-8) + (-6)/4)/1. Suppose q + 3 = n, n - x*q = -1 - 0. Solve -u + 2*b - 7 = 0, -11 - 4 = 3*u - n*b for u.
-1
Let s = 96 + -94. Let b be -34 + 32 - (-4 + 1). Solve -8 = -s*c + 2*z, -6 + b = -2*c - z for c.
3
Suppose -57 = 31*y - 76*y + 26*y. Let w = -12 + 18. Solve 3*x + 15 = 4*g, g + 0 = y*x + w for g.
3
Let b be ((-6 - -5)*447*-1)/3. Let f = 151 - b. Solve -f*v - 4 = -x, 4*x - 3*v - 8 = 8 for x.
4
Suppose 2*v = -v - 5*o + 15, 0 = v - 5*o - 5. Let b be -5*(-5 + (8 - v)). Solve -d + 4*r = 10, 5*d - 4*r + 8 = -b for d.
-2
Let f(k) = 17*k + 19. Let c(h) = -3*h - 2. Let a(v) = c(v) + f(v). Let d be a(-1). Solve 2 = -5*b - d*y, -5*b - y + 3 = -7*b for b.
-1
Let t = 14427 - 14423. Solve -t*a + 9 = m, -2*m - 5*a - 17 = -26 for m.
-3
Suppose -766 - 613 = -7*i. Let n = 202 - i. Solve a - 1 = d, -n - 12 = -4*d - 3*a for d.
2
Let b be (-15)/(-25)*(-150)/(-9). Let l be (2 + (-8)/b)/((-3)/(-15)). Solve l = 2*v + 2*h - 0, 2*h - 10 = 0 for v.
-2
Suppose -133*a = -129*a - 20. Let w(d) = -d**3 + 7*d**2 - 6*d + 10. Let h be w(6). Solve -h = 4*m + o - 4*o, a*m + 16 = 2*o for m.
-4
Let x(z) be the first derivative of z**4/4 - 5*z**3 - 8*z**2 + 2*z + 30. Let n be x(16). Solve 4*v - 3*l = -4, 0*v + 3*v = l + n for v.
2
Suppose 5*b = -4*i - 74 + 189, i + 3*b - 27 = 0. Solve -5*g = -4*c - 6, 2*c + i*g - 31*g = -6 for c.
-4
Let s(o) = 3*o**2 - 13*o + 9. Let j be s(4). Suppose 0*k - j*m - 5 = 5*k, -4*k + 21 = -m. Solve 2*c - 2 = -2*p, -k*p + 26 - 7 = -c for p.
4
Let z = -117 + 120. Suppose 0 = -z*y + 5 - 2. Let j be -2*y + 5 + 0 + -1. Solve 4*s + 5*u - 18 = -0*u, -3*s - j = -4*u for s.
2
Let y be 2/((-684)/(-42) + -16). Solve 3 = -3*c, 4*z - 3*c - 2 = -y for z.
-2
Let b(d) be the second derivative of -d**4/12 + 8*d**3/3 - 45*d**2/2 - 140*d. Let f be b(11). Solve 4*h + 5*n = -11, -4*n - 5 = -3*h + f for h.
1
Suppose 55 = -66*g + 187. Solve r = g*c - 4, -5 = 2*r + 2*c - 3*c for r.
-2
Let k = 39 - 27. Let z be k/28 + 7533/63. Let i = -95 + z. Solve -4*o = -y + 4*y - 20, 5*o - i = 4*y for o.
5
Let j(l) = 25*l**3 - 2*l**2. Let b be j(1). Suppose b = 18*n - 13. Let h = 6 + -3. Solve -3*g = -h*d - n*g + 4, g - 14 = -3*d for d.
3
Suppose -48*g - j = -58*g + 752, 5*g - 381 = 3*j. Solve -h = 3*n + g - 78, 0 = 3*n - 3*h - 3 for n.
1
Let m = -155 + 159. Suppose -22*w - m*w = -598. Solve 2*h - 5*r = -21, -7*h + 3*h - 3*r + w = 0 for h.
2
Let n(m) = m**3 - 19*m**2 + m - 12. Let l be (1520/200)/((-2)/(-5)). Let o be n(l). Solve 4*s + o*f = 2*f - 3, -s = -2*f + 4 for s.
-2
Let f(h) = 5*h**2 - 2*h - 1. Let r be f(-1). Let j be (-9)/(-12)*r/(-9)*-4. Let p = -289 - -292. Solve -7 = p*b - j*t, 5*b - 2*t = t - 12 for b.
-3
Suppose 3*o - 4*h = -152, o - h = 2*o + 39. Let z = -40 - o. Suppose 4*r + u = -z*u - 10, 0 = 3*r + 2*u + 4. Solve r*q - 5*q - 5*w = 10, 2*w = 5*q + 10 for q.
-2
Let d(i) = 3*i**2 + 17*i + 24. Let k be d(-4). Solve -20*l + 15*l + 2*p = -6, 4*p = -k*l - 12 for l.
0
Suppose -19*k = -8 + 46. Let a be 4 - ((-16)/k - (9 - 5)). Solve a = b + 4*b - r + 10, b - r = -2 for b.
-2
Let t(w) = -w**3 - 12*w**2 + 10*w - 34. Suppose 0 = 2*l + 4*f + 6, -5*f - 22 = 4*l + 5. Let r be t(l). Solve -23 = -3*d - 4*j, -r*j = d - 7 - 8 for d.
5
Let i be 4*(97/4 - 3). Suppose 2 = r - 1, 5*r = 5*z - i. Solve -f = 3*y - 2 - 0, 3*f = 5*y + z for y.
-1
Suppose 7*j + 31 - 3 = 0. Let w = j - -9. Solve 3*q - 10 = 2*f, q - w = -4*q + f for q.
0
Let j(h) = 2*h + 126. Let c be j(-45). Suppose 116 = 3*p + p. Let s = c - p. Solve 4*l = -5*d + s + 3, -4*l + 28 = -4*d for d.
-2
Let l be (-16)/(-6)*(-3)/(-2). Suppose 6 + 62 = 17*b. Solve b*q + 20 = -d - 3*d, -l*d = q + 8 for d.
-1
Suppose -113 = -3*d - 113. Suppose d = 49*f - 44*f. Solve f = -5*q - 2*x + 5*x + 5, x = -3*q - 11 for q.
-2
Suppose 3*u + 2*i = 2, 0 = 2*u - 3*u + 3*i + 8. Solve 3*n - 17 = 5*m, -3*m - 9 = -u*n - n for m.
-4
Suppose 0 = -367*p + 380*p - 26. Solve 12*j - p*d = 15*j + 12, d + 5 = -j for j.
-2
Let b = 66163 - 66160. Suppose -g = g - 4. Suppose 4*s + p - 10 = 0, 3 = -g*s + 5*p - 3. Solve b = -s*y - n, -y - 2*n = -2 - 1 for y.
-3
Suppose 8 = p + 13. Let j(x) = -x**3 - 8*x**2 - 4*x - 5. Let f be j(p). Let r = -58 - f. Solve 2*u - 16 = -2*k, -r*k + k - 5*u = -24 for k.
4
Let w(u) = -u**3 + 8*u**2 + u + 15. Suppose 0 = 3*h - 42 + 18. Let d be w(h). Let v = d + -20. Solve 0 = -2*t - 5*f + 30, -21 = 2*t - v*t - 4*f for t.
5
Suppose -5*c - 2*s = -213 + 120, 4*c = s + 77. Solve 25*m = o + 21*m + 13, 5*o + c = -3*m for o.
-5
Let g = -524 + 527. Let z be (-85)/(-34) + (g/2)/3. Solve -z*c = 3*p - 5 - 1, 5*p = -2*c + 10 for c.
0
Let l be (-4 - -4)/(-2 + 6 + -5). Solve l = -5*g - 4*x + 2*x + 21, -3*g + 5*x + 25 = 0 for g.
5
Suppose -20 = -4*s + c, 89*c - 90*c = 2*s - 4. Solve -7 = -2*a + k - 0*k, 2 = -5*a - s*k for a.
2
Suppose 89 = -102*f + 9*f + 554. Solve f*x = -w - 39 + 12, 2*w = x + 1 for w.
-2
Let a be ((-76)/3)/(420
|
{
"pile_set_name": "DM Mathematics"
}
|
/15982
Is -0.029 greater than 0.3265?
False
Is -0.92215 <= -5?
False
Which is greater: -0.298 or 5/46?
5/46
Is 19195 >= 19185?
True
Which is smaller: 30408 or -3/4?
-3/4
Is 149935 bigger than 149930?
True
Is 1 bigger than 457/281?
False
Is 0 at most -1432/1091?
False
Which is bigger: -40228 or -40231?
-40228
Is -143 equal to -2291/16?
False
Which is greater: -5289 or -5845?
-5289
Is 54214 at most as big as 54209?
False
Which is bigger: -84739 or -84746?
-84739
Does 11/6 = 10156?
False
Which is bigger: -2/9591 or 2/645?
2/645
Are 1265 and 3796/3 equal?
False
Is 66217 < 66218?
True
Which is smaller: -2242 or -2256?
-2256
Is 26261 less than or equal to 26262?
True
Which is smaller: 4/95 or 1462/9?
4/95
Which is bigger: -448650 or -448652?
-448650
Are -2041 and 8 equal?
False
Do 0.17 and -14807 have different values?
True
Is 5/532657 smaller than 1?
True
Does 0.1 = -8532463?
False
Which is smaller: 0 or 2/2046255?
0
Is -1618 > -653?
False
Which is bigger: -19 or 2630?
2630
Which is greater: 0.4 or -21363?
0.4
Which is smaller: 5.99639 or 0?
0
Which is smaller: -1/3 or 37571?
-1/3
Are -110/27439 and 1 unequal?
True
Is -68 less than 5.45?
True
Which is greater: -1469301 or -1469299?
-1469299
Is -515980/19 > -27158?
True
Is -90086/139 <= -648?
True
Which is smaller: -47/521 or 0?
-47/521
Is 1304/10391 less than 0?
False
Are 16935 and 16942 equal?
False
Is -4230 >= -4224?
False
Which is smaller: -1 or 30056?
-1
Which is greater: -1/2 or 1656/19?
1656/19
Is -4545/3238 greater than or equal to -1?
False
Is 4 greater than -84251?
True
Which is smaller: -305 or -3982/13?
-3982/13
Is 93 smaller than 3425?
True
Is -1 at least 3/20728271?
False
Is 452 less than or equal to 8/3?
False
Which is bigger: 1256 or 1252?
1256
Which is smaller: -56348/121 or -465?
-56348/121
Is -3588 greater than -3586?
False
Which is smaller: 251 or 761?
251
Is -604 bigger than 1849?
False
Is -88254 less than or equal to -88250?
True
Which is smaller: -26 or 24/1159?
-26
Is 81367 at most 81364?
False
Is -2627 greater than or equal to 2/9?
False
Is 2/396343 != 0?
True
Is -21350 at least as big as -21325?
False
Which is smaller: 1962177 or 1962176?
1962176
Which is bigger: -79.92 or -1/3?
-1/3
Is 240 < 28975/121?
False
Is 1 less than or equal to -78/29857?
False
Is 105.2 at least -0.156?
True
Is -71 bigger than -67?
False
Is -0.1 smaller than -516/137?
False
Which is bigger: 74/1159 or -1?
74/1159
Is 1234/13 bigger than 95?
False
Is 683 at least as big as 676?
True
Is 0 equal to 3/236059?
False
Is -27/13270 <= 1?
True
Which is bigger: 18876/23 or 820?
18876/23
Is -350975/9 less than or equal to -38996?
True
Which is greater: 0 or 2/145167?
2/145167
Which is smaller: 309 or 240?
240
Which is bigger: 4153 or 4007?
4153
Which is smaller: -93 or -1019/11?
-93
Which is smaller: -40031/15 or -2669?
-2669
Is 9265 not equal to -4.5?
True
Which is smaller: 10 or 5421/529?
10
Which is bigger: -1 or -4.76902?
-1
Which is bigger: 497 or 4983/10?
4983/10
Which is greater: -524137 or -524138?
-524137
Which is smaller: -3/177277 or 0?
-3/177277
Is 75276 greater than or equal to 75276?
True
Is -9939 smaller than -59627/6?
True
Is 114856 smaller than 114866?
True
Is -673 >= 184/11?
False
Which is smaller: 11 or -0.3429?
-0.3429
Is -1 greater than or equal to -2/214809?
False
Is 174 at least as big as 13963/80?
False
Which is bigger: -9432 or -9431?
-9431
Is 41915 <= 42089?
True
Which is smaller: -426/2117 or 0?
-426/2117
Which is greater: 0 or 386420?
386420
Which is smaller: 16/17 or -16.81?
-16.81
Is 7198 less than 7192?
False
Is 1896 greater than 1894?
True
Which is bigger: -10/4067861 or 1?
1
Which is smaller: -33703 or -33694?
-33703
Which is smaller: -58 or 1088?
-58
Which is smaller: 624971 or -1?
-1
Does -19163 = 1/6?
False
Is -1.75 less than or equal to 1/24?
True
Which is greater: 3.032 or -14/27?
3.032
Which is greater: 1009801 or 1009805?
1009805
Which is greater: 505 or 21/11?
505
Is 3590465 < 3590466?
True
Is 219/6667 at most 0?
False
Which is smaller: 3 or 8586?
3
Which is smaller: 4/341139 or 1?
4/341139
Are -152371 and -2/17 nonequal?
True
Is -5206 bigger than -5211?
True
Which is greater: -503 or -221?
-221
Is -0.2 at least -6329.2?
True
Is 3282/1291 smaller than 4?
True
Which is greater: -85310 or -85309?
-85309
Is -5968 greater than -5988?
True
Do 193 and -3069 have the same value?
False
Is -1 not equal to -2/767087?
True
Is -7/17425 > -2?
True
Is -236087/4 less than or equal to -59021?
True
Is 1 smaller than -127/1095?
False
Which is smaller: -1 or 3/3079?
-1
Is -145.6 greater than or equal to 26/61?
False
Which is greater: -29413 or -29416?
-29413
Which is greater: 52396 or 52433?
52433
Is -429524 at least as big as -429527?
True
Which is bigger: 6588 or 6579?
6588
Which is greater: 2/628687 or 1?
1
Which is smaller: 8201 or 41008/5?
8201
Is 67406 <= 67402?
False
Is -0.005 at least as big as -614/11?
True
Which is smaller: 0.37 or 5/3894?
5/3894
Which is smaller: -261729 or -261723?
-261729
Are 27 and 1584/59 unequal?
True
Is 3686621 less than -1?
False
Which is greater: 422834/19 or 22255?
22255
Which is greater: 43 or 2329/55?
43
Is 0 bigger than 448023?
False
Is 8/77251 <= 0?
False
Which is bigger: 2007659 or 2007657?
2007659
Are 4037 and 4036 nonequal?
True
Do -69 and -4/13 have different values?
True
Is 12558/5 greater than 2511?
True
Which is greater: 10220/799 or 12?
10220/799
Which is bigger: -71/23683 or -1?
-71/23683
Is -566 at most -569?
False
Is 183186 >= 183187?
False
Are -9/51700 and 0 nonequal?
True
Which is bigger: 0.4 or -15267?
0.4
Is -4957/135 greater than -37?
True
Which is smaller: 0 or 26/40399?
0
Which is smaller: 0.01 or 2/2943?
2/2943
Which is smaller: 3/34858 or -1?
-1
Do -1908537 and -1908538 have different values?
True
Is 854543 at most as big as 854544?
True
Which is smaller: 397603 or 397602?
397602
Do 22028 and 22004 have the same value?
False
Does -295661 = -295659?
False
Are 6/81263 and -1 nonequal?
True
Are -980 and -907 nonequal?
True
Are 1 and -142/2489 unequal?
True
Which is smaller: 5 or 1327?
5
Is 3/1451603 >= 1?
False
Is 0.55 smaller than -1614?
False
Which is greater: -528 or -20?
-20
Which is bigger: 12/26921 or -1?
12/26921
Which is smaller: 17 or 2419/155?
2419/155
Is 670 at most as big as 655?
False
Is 383 less than or equal to 3061/8?
False
Which is smaller: -511 or -27146/53?
-27146/53
Is 3103 > -2?
True
Which is smaller: 1 or 7612.7?
1
Are 51038 and 51034 nonequal?
True
Is 29.02 <= 440?
True
Which is smaller: 461/345 or 1?
1
Does 0 = -35/682?
False
Is 6 bigger than 3/1756?
True
Are -964 and -9629/10 non-equal?
True
Which is bigger: -317256 or -1269019/4?
-1269019/4
Is 148409 not equal to 148409?
False
Is 8647 greater than 8647?
False
Which is smaller: 0.1 or 1/5281?
1/5281
Is 22038 greater than or equal to 22042?
False
Are -1.459 and -0.01 non-equal?
True
Is 5 <= -4.92065?
False
Are -142878 and -142878 equal?
True
Is -1/534363 at most 0?
True
Which is smaller: 9 or 1134/115?
9
Which is greater: 1126/707 or 2?
2
Which is greater: -1028 or -902?
-902
Which is greater: -12 or -3462/277?
-12
Is -181679 less than -181679?
False
Which is smaller: 10185 or -15?
-15
Which is greater: -20/207803 or -1?
-20/207803
Which is smaller: 82 or 4417/53?
82
Which is smaller: -43011/11 or -3911?
-3911
Is 10/147571 bigger than 1?
False
Is -110613 at most -1/4?
True
Which is greater: 255 or 884?
884
Which is smaller: -18/7673 or 1?
-18/7673
Is -1050 greater than or equal to -40958/39?
True
Which is greater: 852275/6 or 142045?
852275/6
Which is smaller: -188 or -164?
-188
Are 0 and 7/6273 equal?
False
Which is smaller: 1/305 or -48/67?
-48/67
Is 163.4 > -11?
True
Is -275318/5 >= -55065?
True
Which is smaller: 2615 or 2494?
2494
Is -9/8 equal to 5/147?
False
Which is smaller: 228.8736 or 1/4?
1/4
Is -1 > 37/396507?
False
Which is smaller: -2724 or 186?
-2724
Is 660588 smaller than 660591?
True
Which is smaller: 572.7 or -35?
-35
Is 557 > 503?
True
Is -118191 > -0.1?
False
Which is bigger: -803.6 or 1/49?
1/49
Is -4366 less than -30561/7?
True
Which is smaller: 957/133 or 6?
6
Which is smaller: -321 or -554?
-554
Is 85974 greater than or equal to 86013?
False
Does 22463 = 22466?
False
Does 54207 = 54206?
False
Which is smaller: -12696 or -13115?
-13
|
{
"pile_set_name": "DM Mathematics"
}
|
e the remainder when 491 is divided by 2.
1
What is the remainder when 512 is divided by 19?
18
What is the remainder when 55523 is divided by 28?
27
What is the remainder when 299 is divided by 50?
49
What is the remainder when 1486 is divided by 110?
56
Calculate the remainder when 83 is divided by 20.
3
What is the remainder when 291 is divided by 37?
32
Calculate the remainder when 253 is divided by 16.
13
Calculate the remainder when 5596 is divided by 38.
10
What is the remainder when 3991 is divided by 235?
231
Calculate the remainder when 1116 is divided by 273.
24
Calculate the remainder when 71 is divided by 71.
0
Calculate the remainder when 250 is divided by 170.
80
Calculate the remainder when 72 is divided by 57.
15
Calculate the remainder when 151 is divided by 51.
49
What is the remainder when 193 is divided by 105?
88
What is the remainder when 392 is divided by 18?
14
What is the remainder when 714 is divided by 45?
39
What is the remainder when 305 is divided by 39?
32
Calculate the remainder when 1977 is divided by 46.
45
Calculate the remainder when 1295 is divided by 36.
35
Calculate the remainder when 28 is divided by 28.
0
Calculate the remainder when 125 is divided by 21.
20
Calculate the remainder when 55 is divided by 19.
17
Calculate the remainder when 18210 is divided by 39.
36
What is the remainder when 428 is divided by 202?
24
What is the remainder when 791 is divided by 112?
7
What is the remainder when 2789 is divided by 25?
14
Calculate the remainder when 822 is divided by 25.
22
What is the remainder when 631 is divided by 106?
101
Calculate the remainder when 135 is divided by 53.
29
Calculate the remainder when 1253 is divided by 119.
63
Calculate the remainder when 5461 is divided by 34.
21
Calculate the remainder when 1379 is divided by 230.
229
What is the remainder when 3034 is divided by 230?
44
What is the remainder when 259 is divided by 8?
3
What is the remainder when 150 is divided by 6?
0
Calculate the remainder when 59 is divided by 6.
5
What is the remainder when 96 is divided by 25?
21
What is the remainder when 15831 is divided by 14?
11
Calculate the remainder when 38 is divided by 31.
7
Calculate the remainder when 15874 is divided by 34.
30
Calculate the remainder when 4583 is divided by 1527.
2
Calculate the remainder when 14478 is divided by 26.
22
What is the remainder when 48 is divided by 5?
3
Calculate the remainder when 681 is divided by 200.
81
Calculate the remainder when 910 is divided by 48.
46
Calculate the remainder when 552 is divided by 22.
2
Calculate the remainder when 225 is divided by 78.
69
Calculate the remainder when 290 is divided by 251.
39
Calculate the remainder when 412 is divided by 14.
6
What is the remainder when 442 is divided by 106?
18
Calculate the remainder when 1208 is divided by 121.
119
Calculate the remainder when 1472 is divided by 374.
350
Calculate the remainder when 311 is divided by 13.
12
Calculate the remainder when 210 is divided by 36.
30
What is the remainder when 269 is divided by 22?
5
What is the remainder when 263 is divided by 22?
21
Calculate the remainder when 440 is divided by 44.
0
Calculate the remainder when 108 is divided by 8.
4
Calculate the remainder when 58 is divided by 56.
2
What is the remainder when 770 is divided by 55?
0
What is the remainder when 381 is divided by 51?
24
Calculate the remainder when 3419 is divided by 18.
17
Calculate the remainder when 459 is divided by 128.
75
Calculate the remainder when 3550 is divided by 2.
0
What is the remainder when 17 is divided by 1?
0
What is the remainder when 282 is divided by 60?
42
What is the remainder when 37 is divided by 13?
11
What is the remainder when 1577 is divided by 17?
13
What is the remainder when 150 is divided by 48?
6
What is the remainder when 2949 is divided by 15?
9
Calculate the remainder when 2633 is divided by 137.
30
What is the remainder when 23 is divided by 5?
3
What is the remainder when 7445 is divided by 29?
21
Calculate the remainder when 6948 is divided by 37.
29
What is the remainder when 1251 is divided by 30?
21
Calculate the remainder when 711 is divided by 122.
101
What is the remainder when 129 is divided by 37?
18
What is the remainder when 711 is divided by 299?
113
What is the remainder when 298 is divided by 7?
4
What is the remainder when 106 is divided by 48?
10
What is the remainder when 3135 is divided by 3126?
9
What is the remainder when 188 is divided by 27?
26
Calculate the remainder when 1511 is divided by 18.
17
What is the remainder when 251 is divided by 128?
123
What is the remainder when 46 is divided by 27?
19
Calculate the remainder when 479 is divided by 60.
59
Calculate the remainder when 23906 is divided by 86.
84
What is the remainder when 113 is divided by 23?
21
What is the remainder when 766 is divided by 59?
58
Calculate the remainder when 218 is divided by 65.
23
What is the remainder when 1597 is divided by 16?
13
Calculate the remainder when 429 is divided by 154.
121
What is the remainder when 381 is divided by 345?
36
What is the remainder when 456 is divided by 23?
19
Calculate the remainder when 156 is divided by 83.
73
Calculate the remainder when 404 is divided by 29.
27
Calculate the remainder when 96 is divided by 28.
12
Calculate the remainder when 653 is divided by 16.
13
What is the remainder when 638 is divided by 211?
5
Calculate the remainder when 2658 is divided by 20.
18
What is the remainder when 96 is divided by 71?
25
Calculate the remainder when 580 is divided by 53.
50
What is the remainder when 44 is divided by 15?
14
What is the remainder when 82 is divided by 24?
10
What is the remainder when 374 is divided by 2?
0
What is the remainder when 3574 is divided by 891?
10
Calculate the remainder when 835 is divided by 19.
18
Calculate the remainder when 90 is divided by 90.
0
What is the remainder when 1170 is divided by 1169?
1
What is the remainder when 217 is divided by 20?
17
What is the remainder when 129 is divided by 34?
27
What is the remainder when 213 is divided by 6?
3
Calculate the remainder when 3676 is divided by 16.
12
What is the remainder when 94 is divided by 5?
4
Calculate the remainder when 711 is divided by 14.
11
What is the remainder when 45 is divided by 16?
13
Calculate the remainder when 784 is divided by 33.
25
What is the remainder when 8930 is divided by 77?
75
What is the remainder when 334 is divided by 68?
62
What is the remainder when 196 is divided by 33?
31
What is the remainder when 228 is divided by 57?
0
What is the remainder when 12326 is divided by 7?
6
What is the remainder when 1454 is divided by 476?
26
Calculate the remainder when 638 is divided by 46.
40
Calculate the remainder when 354 is divided by 36.
30
What is the remainder when 374 is divided by 75?
74
What is the remainder when 8958 is divided by 31?
30
What is the remainder when 25 is divided by 17?
8
Calculate the remainder when 283 is divided by 63.
31
What is the remainder when 285 is divided by 72?
69
What is the remainder when 1370 is divided by 86?
80
Calculate the remainder when 49 is divided by 10.
9
What is the remainder when 3474 is divided by 79?
77
Calculate the remainder when 1580 is divided by 22.
18
What is the remainder when 421 is divided by 8?
5
What is the remainder when 376 is divided by 78?
64
Calculate the remainder when 2470 is divided by 1183.
104
What is the remainder when 5655 is divided by 138?
135
What is the remainder when 2014 is divided by 96?
94
What is the remainder when 47 is divided by 3?
2
Calculate the remainder when 55 is divided by 12.
7
What is the remainder when 197 is divided by 27?
8
Calculate the remainder when 91 is divided by 16.
11
What is the remainder when 99 is divided by 26?
21
Calculate the remainder when 1068 is divided by 514.
40
Calculate the remainder when 479 is divided by 21.
17
What is the remainder when 199 is divided by 57?
28
What is the remainder when 303 is divided by 61?
59
Calculate the remainder when 176 is divided by 30.
26
What is the remainder when 2962 is divided by 13?
11
Calculate the remainder when 133 is divided by 15.
13
What is the remainder when 72 is divided by 14?
2
Calculate the remainder when 1273
|
{
"pile_set_name": "DM Mathematics"
}
|
15 = d - i*h, -4 - 2 = 2*d - h for d.
-5
Let b = 27 - 25. Let n be (1 - b)*(4 - 6). Solve 3*d - 5 = 5*q, n*d - 2*q = d + 1 for d.
5
Let d = 1504 - 1502. Solve -d*h + 3*h + 4*v = 16, 0 = -5*h - 5*v + 5 for h.
-4
Suppose -5*f + 20 + 10 = 0. Let i be (-2 + 0 + (-8)/(-3))*f. Solve 3*y = 4*y + 2, 5*y - 10 = -i*h for h.
5
Suppose -19 = -10*j + 71. Suppose 5*q = -v - 10, 0*v + 4*q + 8 = 3*v. Solve 5*n - 25 = v, -n + j = -d - 3*d for d.
-1
Let l(u) be the first derivative of -u**2 + 51*u - 5. Let i be l(24). Solve -i*p - 1 = -2*p + 2*r, -4*r - 17 = -3*p for p.
3
Let l(f) = 16*f - 2. Let k be l(2). Suppose 8*o - k = 3*o. Let z(r) = 2*r - 8. Let q be z(o). Solve 2*w = q*s - s + 4, -s = 5*w - 10 for w.
2
Let g be 0/(1/(9/6 + -2)). Solve g*f + 7 = -k - 2*f, 3*f + 13 = -2*k for k.
-5
Let q = 47 - 44. Let x(w) = w**3 - 3*w**2 + 2*w - 3. Let f be x(3). Let d be -7*1*(15 + (-968)/56). Solve 0 = 4*u + q*l + d, -u = f*l - 2*l + 5 for u.
-1
Suppose 2*z + 1 = 15. Suppose 0 + 14 = z*t. Solve -5*x - 10 = i, -t*x = 3*i - 4 - 5 for i.
5
Let z be ((-8)/18)/(20/(-90)). Let f(h) = -h + 0*h + 3*h. Let b be f(2). Solve z*i = b*j, 20 = 2*j - 2*i + 6*i for j.
2
Let n(d) = d**2 + 6*d - 12. Let w be n(-8). Suppose 0 = w*j - 3*j - 8. Solve 5*c + 2*b = 3*c - 8, 5*c + j = -b for c.
-1
Let b be 61/(-61) - (-2 - -1 - 2). Solve -4*f = b*z + 8, -5*z = -z + 8 for f.
-1
Let m be (10/(-6))/((-13)/156). Suppose m*y = 44 + 16. Solve 0 = 5*t - 25, y*u + 5*t - 2 = 17 for u.
-2
Let w = -311 - -319. Solve -5*a + 0 = -2*c - 1, 4*a = 4*c + w for c.
-3
Let v = 96 + -97. Let n = 13 + v. Solve -5*r - n = -4*b + 3*b, 27 = -4*r - 5*b for r.
-3
Let a be (-2 + 1)*7 + 3. Let f be 0*(-1)/(-2 - a). Suppose f = -0*d - 2*d + 28. Solve -4*c = -5*g + 36, -g = -5*c - 38 + d for g.
4
Let u = 501 + -496. Solve u*x = -v - 2*v - 34, -2*v = -4*x - 14 for v.
-3
Suppose 0 = 2*s + 4*q + 16, 6*s = 10*s + q - 3. Solve 2 = -w - 0*l + 3*l, s*l = -w + 8 for w.
4
Suppose 11*x - 11 - 33 = 0. Suppose 49 = 4*b + 5*q, -6 = 3*q - q. Suppose 5*o + 6 = b. Solve -3*z = -w + 8, -2*w - o*z = -x*z for w.
-4
Suppose -6 = -2*m + 5*j, 5*m = m + 2*j + 12. Suppose -4*v + m*v = 0. Suppose 4*p - p - 9 = 0. Solve -2*q + 8 = v, -p*q = -5*b - 12 - 15 for b.
-3
Let h be 5 + -7 + (-4)/(-2) - -2. Let c(o) = -o**3 + o**2. Let w be c(1). Solve 4*r - 1 - h = -z, w = 3*z + 2*r - 9 for z.
3
Let g(d) = -d**2 + 5*d - 7. Let b be g(4). Let l be 3 + -2 + b/3 + 3. Solve -v = -s - l, -2*s + 5*v = -7*s + 35 for s.
2
Let x(a) = -3 + 1 + 3 - 2*a + a**2. Let f be x(6). Suppose 306 = -17*p + 391. Solve 4*b + b - p = -5*v, 0 = 3*b - 4*v + f for b.
-3
Suppose -2*y + 12*y + 320 = 0. Let f = y - -37. Solve 0*d - 2*c + 15 = f*d, -4*c - 20 = 0 for d.
5
Suppose -k + 3 = 2*i, 5*k - 4*i - 15 = -6*i. Solve -3*q - 15 = c, -20 = q + k*q + c for q.
-5
Let a = 607 + -107. Suppose i = -3*i + a. Suppose 4*v + 2*o - 126 = 0, 2*v - i = -2*v - o. Solve 7 = 4*j + 2*w - 9, -v = -5*j + 3*w for j.
5
Let q = -45 - -52. Suppose -q*i = -169 + 29. Solve -3*w - i = -8*w - 5*r, 3*r = 2*w + 7 for w.
1
Suppose 4*d - 27 = -2*y - 13, -2*d - 13 = -3*y. Solve y*j + 17 = -3*r, -10 = 4*j - 4*r + 10 for j.
-4
Let k(o) = -o**3 - 3*o**2 - o + 7. Let a be k(-3). Suppose 14 = 6*p - a. Solve 2*t = -p*s + 3*t + 12, s - 3 = -4*t for s.
3
Let r = 1 - 0. Let p(n) = 6*n**3 - n**2 - n + 1. Let v be p(r). Solve -3*a = v*z - 19, 0*z + 21 = 3*z + 5*a for z.
2
Let o = -14 - -18. Suppose 1 + 7 = -o*j. Let z = 1 - j. Solve 2*c + 2*x = 1 - 3, -3*c = -z*x - 15 for c.
2
Let m(f) = -f**2 - 4*f. Let d be m(-3). Let n = -1 + d. Solve -n*r - 2*l - 9 = -l, -2*r = 2*l + 8 for r.
-5
Let s be 7 - (5 + -3 + 0). Suppose 18 = s*d - 17. Let m be (-12)/(1 - -3) + d. Solve 0*q + 5*q - k = 30, -15 = q + m*k for q.
5
Let m(f) = f - 2. Let t be m(-12). Let w(o) = -o**3 - 14*o**2 - o - 10. Let l be w(t). Solve 12 = -2*n - 5*g, -l*n + 12 = 2*g + 4 for n.
4
Suppose 2*s = -4*w + 78, 58 = 8*w - 4*w - 2*s. Let i be 1276/290 - 3/(-5). Solve -3*k + 22 = i*u, -4*k = -2*k - 3*u + w for k.
-1
Suppose -5*z - 1 = -4*c + 18, z - 5 = 0. Suppose 4 - 1 = l. Suppose -4*f + c - l = 0. Solve -4*m = q + 22, -f*m - 6 = 5*q + 14 for q.
-2
Suppose 0 = a + 11 + 23. Let u be (2/1)/(a/(-51)). Let t be (-3)/18 + u/18. Solve t*o + o - 5*m = -11, 0 = o + 5*m - 19 for o.
4
Suppose 8 = 5*g + 3. Let i be g + 76 + (3 - 7). Let w = i - 52. Solve -h - w = -5*b + 2, 5*b + h - 17 = 0 for b.
4
Suppose d + 7 + 90 = 5*a, a - 2*d = 23. Let c = 23 - a. Solve -2 = -3*n + c, x + n = -3 for x.
-5
Let i(c) = -c + 9. Let x be i(7). Solve -4*n - 3 = -2*h - 1, -n + h = x for n.
1
Let l be (-1 + (-4)/(-4))/(-1). Solve 0*f - 2*f - 5*s + 10 = l, f + 13 = 2*s for f.
-5
Let d be 1 - 0 - (-27 - 15)/14. Let j(o) = -o**3 + 11*o**2 - 10*o + 5. Let u be j(10). Solve 4*p = -u*v + 14, d = v + v for p.
1
Let y = -5 + 15. Suppose 3*f + 3*u + u - 46 = 0, 0 = -2*u + 8. Suppose 0 = -a - 4*a + f. Solve t + 0*t - a = 3*o, 3*t - o = -y for t.
-4
Suppose -4*j + 24 = 5*d, -3*d + 4*j + 36 = -4. Solve -v = 4*s - 8, 4*s + v = -3*v + d for s.
2
Suppose 0 = 7*s - 2392 + 2357. Solve r + 10 = -5*z, 0 = 7*z - s*z + r + 7 for z.
-1
Let a = 4 - 2. Suppose 14*h - 10*h - 44 = 0. Suppose -h - 15 = -13*v. Solve -a*y = v*j, 4*y - 24 = 2*y + 4*j for y.
4
Let x(y) = -11*y - 407. Let j be x(-37). Solve 3*g + l + 2 - 3 = j, -4*l = 20 for g.
2
Suppose -65 = -6*k - 17. Solve k = -4*f - t, -t + 2 = f + 1 for f.
-3
Let o = 19 - 16. Solve 0 = -5*a - 2 - 8, 3*l + o*a + 21 = 0 for l.
-5
Suppose -j = 4*x - 9*x - 17, 5*x = -15. Suppose j*h + 2*h = 0. Solve -2*a - 4*k - 20 - 2 = h, -4*k = 3*a + 25 for a.
-3
Let g(c) = c**2 + c - 4. Let a be g(-3). Suppose 0 = -4*w + 3*d + 18, -w + d + 6 = a. Solve 0*p - 3*t = 2*p + w, 0 = -2*p + t - 6 for p.
-3
Let r be (5 - (-6)/(-3)) + 3. Suppose w + 25 = r*w. Suppose -u + 15 = -3*v, -v + w = -3*u + 34. Solve 2*a + u = -o + 4*a, -2 = 2*o + 4*a for o.
-5
Let j be (-1 - (-2 + -2) - 6)/(-1). Solve -j*p = 2*n + p + 2, 0 = -n - 4*p - 3 for n.
1
Let x = -35 - -21. Let q = x + 11. Let k be 8 + (-4)/((-4)/q). Solve 4*b + 5*m - 4*m = 0, k*m = -b for b.
0
Let i be (-7)/2*(60/(-21) + 0). Solve -3*n = o + i, 3*o - n = n + 14 for o.
2
Let m(w) = w. Let c be m(5). Suppose 0*h - c*h = -15. Suppose 4*j - 73 = 5*q - 78, -3 = 3*j - 3*q. Solve j = 3*l + h, 0 = -o - 4*l - 6 + 2 for o.
0
Let l(f) = f**2 - 8*f + 6. Let y be l(3). Let q(v) = -v**2 - 8*v + 14. Let u be q(y). Suppose s - 3 = 2. Solve -i + u*i - 9 = -r, s*i = 15 for r.
-3
Let c(v) = 15 - v**2 - 10 - 7*v - 7*v - 39. Let h be c(-10). Solve 0 = -3*z + 3, h*z = -k + 2*z + 1 for k.
-3
Let r be 128/22 + 82/451. Solve 2*q = -q + 3*w - r, 2*w = -6 for q.
-5
Let r = 5 - 2. Suppose 0 = 2*g + r*g - 20, 0 = -2*o + 3*g - 8. Suppose 5*k - 4*j - 14 = 12, -5*k + o*j = -18. Solve 5*l + 2 = 3*y - 19, -k*y + 4 = 0 for l.
-3
Suppose 0 = -j - 2*j + 3. Let l(y) = 3*y**3 + y - 2. Let f be l(j). Solve -g = 4*d + 4 + 3, 2*g + 4 = f*d for d.
-1
Let u be ((-3)/(-9))/((-3)/(-45)). Let m be (17 - u)*((-6)/9 - -1). Solve -3*v + 35 = m*w, -5*w = -4*v - w for v.
5
Suppose t = 3*z - 11, -4*t - 11 = -4*z + t. Suppose 0 = 11*h + h - 48. Solve -2 = 2*c + h*s, -7*c = -3*c - z*s - 32 for c.
5
Let i(a) = 2 + a - a**3 - a**2 + 7*a - 5*a - 7. Let c be i(-3). Solve -3*l + c*l - z + 2 = 0, -4*z + 4 = -2*l for l.
-2
Suppose -9*g = -11*g + 138. Let b = g - 51. Solve -4*c - b = a - 5, 0 = 2*c - 5*a + 23 for c.
-4
Suppose 3*b = 5*m + 15, 0 = -37*m + 34*m. Solve 5*p + x + 25 = 6*x, -b*x + 25 = 3*p for p.
0
Suppose 1 = -q + 4. Suppose s - 6 = -q*m, 0 = -5*m + 5*s + 36 - 6. Solve -5*v + 2*y + 20 = 0, -m*v = -4*y - 0*y - 12 for v.
4
Let y(m) = -m**3 + 22*m**2 + 23*m + 5. Let t = -21 + 44. Let d be y(t). Solve d*h - z = -11, 5*z - 1 = -3*h - 2 for h.
-2
Let l be (-2)/(-4) + -1 - (-262)/524. Solve l = -5*w - q + 3*q, -3*q = 0 for w.
0
Let w = -9 - -2. Let u(y) = y**2 + 4*y - 16. Let b be u(w). Suppose -5 = -0*p + b*p, p = -4*h + 11. Solve 2*t + 2 = 0, 3*i + 3 = 6*i - h*t for i.
0
Let k be 9/6 + -2 - 5/(-10). Suppose y - 4*y + 4*l = -25, 2*y + 5*l + 14 = k. Solve g = 3*w - g + 2, y = -5*w + 3*g for w.
0
Let i be ((-104)/(-48))/(-13)*0. Let m be 12/3*(2 - 3). Let h be m/(-2) - 1*-5. Solve i = 3*o - 2*l + 17, -3*l = 2*o - h*l + 14 for o.
-5
Let q be -4 - ((-48)/(-3))/1. Let l = q - -26. Let h(i) = i - 1. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
t f be -1 - -7*1/g. Which is smaller: f or 1?
f
Let u = -4.2 + 0.8. Let s = 4 + u. Let b = s - 0.56. Is 0 != b?
True
Let l = 19.4 - 20. Let v be 2/5 - (2 + -2). Is v >= l?
True
Let p(s) be the first derivative of -s**2/2 - 4*s + 4. Let u be p(-6). Let k be (4/18)/((-6)/(-9)). Is u <= k?
False
Let w = -8 - -5. Let k be 9/2*(-1 - w). Suppose -4*h = -k*h + 10. Which is greater: h or 4?
4
Let u(j) be the third derivative of j**5/60 - j**4/24 + 5*j**3/6 + 3*j**2. Let v(w) = -2*w**2 + w - 9. Let i(x) = -7*u(x) - 4*v(x). Let a be i(-2). Is -2/5 > a?
True
Let j = 0.3 - 0.1. Let k = -0.14 + 0.04. Let i = k + j. Which is bigger: i or -0.3?
i
Suppose -5*m = -246 + 26. Let d be -2 - (m/3 - 2). Let t = d + 14. Which is smaller: 0 or t?
t
Suppose 4*j + 2*u + 20 = 0, 8 = 4*j + 4*u + 32. Let i be ((-1)/(-2))/(j/(-8)). Let r = i + 0. Is -1/7 bigger than r?
False
Let m be (-3)/(-5) + 603/45. Is 44/3 > m?
True
Let g(p) = -p**2 - 6*p - 6. Suppose 3*q = -15 - 0. Let h be g(q). Which is bigger: h or 1?
1
Let l = -49 - -25. Which is smaller: l or -23?
l
Let y be 3 - -1*(4 + -8). Is -4/9 bigger than y?
True
Let a be (4/(-16))/(2/(-2)). Are -0.2 and a nonequal?
True
Let x = 15.9 + -16.1. Is -1/8 equal to x?
False
Let z be (-3 + (-51)/(-15))*-10. Is -3 >= z?
True
Suppose 3*h + 23 = -2*l, 4*l + 4 = -2*h - 6. Let s = 8 + h. Is 2/7 equal to s?
False
Let r be -3 - 2*249/(-162). Which is bigger: r or 1?
1
Let b be 18/(-102)*(-2)/3. Is 1 at least b?
True
Let y(h) = h + 4. Let n be y(-4). Let d(v) = -v**3 + v**2 - v + 1. Let u be d(n). Suppose -m - u = -o, -5*m + 30 = 4*o - 1. Are m and 3 nonequal?
False
Let o = -6 - -11. Suppose -a - 4*n = -o*a + 20, 3*a - n - 11 = 0. Let m be 2/(-3)*a/2. Which is smaller: -2 or m?
-2
Let b = -16 + 22. Let c = -5 + b. Let y = 17 - 14. Which is smaller: c or y?
c
Let o be 486/(-4) + 9/6. Let n be 0 - -2 - o/(-65). Suppose -5*r - 1 = 3*t - 3, 2*t + 3*r = 1. Which is smaller: n or t?
t
Let q = -17/84 - -3/28. Which is greater: q or -1?
q
Suppose -5*a + 66 = 6. Let c = -6 + a. Which is greater: c or 4?
c
Let y be 9/(-6)*1/(-6). Let x = 467/13 - 36. Do x and y have the same value?
False
Let b = -34.79 + 35. Do 1 and b have the same value?
False
Let a(v) = -v**2 - v + 1. Let f be a(0). Let u = f + -3. Let l(c) = c + 1. Let x be l(u). Does 0 = x?
False
Suppose -5*q + 14 = -7*q. Let d(r) = -r**2 - 6*r + 6. Let m be d(q). Is m < -1/2?
True
Let v(l) = l - 5. Let g be v(8). Suppose g*h - 6 = -3. Which is bigger: 0.03 or h?
h
Suppose -3*v - 6 = -3. Let u = -1 - -1. Is v < u?
True
Let n(q) = q**3 - 3. Let x be n(0). Let j be 49/(-266)*(1 - x). Let h = -220/247 - j. Is 2/3 less than h?
False
Let y be 63/(-71) - 7/(-7). Let m = 212/639 + y. Which is smaller: 0 or m?
0
Let v be 12/2 + (-2)/2. Suppose 0*w = v*w + 15. Let b = 2 + w. Which is smaller: 0 or b?
b
Suppose -5*a + 3 + 2 = 0. Which is greater: 3/23 or a?
a
Let d be (-5)/20 + (-6)/4. Suppose 1 = 2*k - 2*m + m, -5*m = 4*k + 33. Is k != d?
True
Let a = 2847 - 85397/30. Let z = -1/6 - a. Is -1 <= z?
True
Suppose -152 = 4*t - 4*h, 5*t = -3*h - 177 + 11. Which is smaller: t or -33?
t
Let f = -16 - -20. Let m be (-6)/(-4)*(1 + 1). Is f < m?
False
Let j be 0 - 1/((-1)/(-136)). Let i be (-2423)/(-18) - 24/(-16). Let k = i + j. Is 1 != k?
True
Let q = -2/109 + -319/436. Let d be (4/(-5))/(2/(-5)). Suppose -2*t - d = -4*b, 5 - 2 = 2*b - 3*t. Is b less than or equal to q?
False
Let g = 356/1295 - -2/185. Let z = 159/205 - -1/41. Is z greater than g?
True
Let g = -18 + 18. Which is smaller: g or -2?
-2
Suppose 5*w + 3*f + 2*f = 35, -w - 3*f + 13 = 0. Let m(o) = -o + 2. Let s be m(-3). Is w less than s?
True
Suppose 4*u - 22 - 2 = 0. Let a(g) = -g**3 + 4*g**2 - 4*g + 4. Let o be a(3). Let s be (o + (-10)/u)*3. Is 0 less than or equal to s?
False
Let n(j) = j**2 + 3*j + 1. Let h be n(-4). Suppose -h + 17 = -l + 4*f, 3*l + 5*f - 15 = 0. Let x be 1*3/(-3 - l). Is x not equal to -3?
True
Let l = -0.5 + 0.6. Let m = l + -0.3. Let r = m - -2.2. Does 0.1 = r?
False
Suppose -3*v - 27 = -4*s, v - 4*v - 42 = s. Is v not equal to -14?
True
Let z = -8 + 4. Is z less than or equal to 1/4?
True
Let p = 0.1 - 0.1. Is -2 <= p?
True
Suppose 0 = n - 2 - 0. Let m = 1 + n. Which is bigger: 1 or m?
m
Suppose x = -3*b + b, -2*b = 3*x. Let j = -1 + x. Let k = j + 6. Which is bigger: 6 or k?
6
Suppose -2*c = -3*o + 1, 2*o + 4*c - 5 = 1. Which is greater: -1/8 or o?
o
Suppose 12 = -58*i + 52*i. Is -1/2 > i?
True
Let u = -4 - -10. Which is greater: 1 or u?
u
Let z be 5/2 + (12 - 15). Which is smaller: z or -2/9?
z
Let n = 22 + -14. Let s = -15 + n. Let d = s + 11. Which is smaller: 0 or d?
0
Let c = 2 + -2. Let a(v) = v**2 - 2*v + 1. Let g be a(3). Suppose -4*k - 3*l + 9 = 0, 5*k + 0*l - 12 = -g*l. Is k != c?
False
Suppose -5*s + 16 = 1. Let m(w) = -3*w**2 - 9*w - 5. Let o be m(-2). Let u = o - s. Which is smaller: u or 0?
u
Let m = -12 - -3. Let d = 9.2 + m. Is 3 > d?
True
Let c = 73 - 76. Is 0 <= c?
False
Let r be (-40)/(-16)*(-2 + 4). Suppose w - y - 6 = -r*y, 0 = -2*y. Is 7 at most w?
False
Let q be (11/2464)/((-6)/(-8)). Let s = -47/168 - q. Let r(d) = -d**2 + d + 2. Let p be r(2). Is s >= p?
False
Let d = 4.9 + -26.9. Which is smaller: 0 or d?
d
Let o be (4/(-6))/((-30)/(-45)). Is 1/6 less than o?
False
Suppose -3*m + 7 = -0*f - 4*f, -2 = -4*m - 2*f. Is 0.06 greater than or equal to m?
False
Suppose 5*i = g - 5, -3*i - g = -0*g + 3. Which is smaller: -2/5 or i?
i
Let k(a) = a - 6. Let d be k(8). Let u = 82 - 77. Is u not equal to d?
True
Let g = -25 - -170. Let w = 153.7 - g. Let a = w - 9. Which is smaller: -0.1 or a?
a
Suppose -36 = -5*i + 4*z, 2*i - i = -z. Is 4 < i?
False
Suppose -q - 30 = -6*q. Let y(d) = -d**3 + 5*d**2 + 7*d - 7. Let x be y(q). Let z = 0 - x. Are -1/4 and z nonequal?
True
Let w = -89/388 - 2/97. Suppose -8*z = -6*z - 12. Suppose 5*l = z*l. Which is smaller: l or w?
w
Suppose 5*d + 0*d = -80. Let h be d/(-120)*(-8186)/4. Let x = h + 273. Is 1 >= x?
True
Let w be 14/3 - (-4)/(-6). Suppose v + 3 - w = 0. Which is greater: v or 8/9?
v
Let v = 4 - 10. Let n be -3*1 + (1 - v). Is 3 bigger than n?
False
Suppose 5*m - 862 = -4*t, 319 = 4*t + 4*m - 545. Let b be 0 - ((-5826)/(-27) + 2). Let r = b + t. Which is bigger: -0.2 or r?
r
Let o = -10 - -12. Suppose 3*r = 4*x + 16, 2*x - 6*x = 5*r + 16. Suppose -o*t + 4*t = r. Which is smaller: 2/17 or t?
t
Let i(f) be the third derivative of f**6/120 - f**5/20 + f**4/8 - f**3/3 - 3*f**2. Let t be i(2). Is 1/3 at least as big as t?
True
Suppose 5*t + 6*t - 11 = 0. Which is bigger: 0.057 or t?
t
Suppose 3 = -57*q + 54*q. Let x be 8/(-14)*(-6)/(-8). Which is greater: q or x?
x
Suppose 4*b - g - 6 = -25, 2*b = -5*g + 7. Let n = 6 - -9. Let l be b/(-22) - n/22. Which is bigger: 0 or l?
0
Let z be -2*213/(-30)*8. Let k = -114 + z. Which is greater: k or -7?
k
Let x = -14665/3 - -4976. Let k = x - 87. Is 4 bigger than k?
True
Suppose -4 - 7 = 2*a + 3*n, 5*n + 27 = a. Suppose -a*q = -3*q. Is 1/5 < q?
False
Let j = 5.1 - 10.1. Let x = 0 - 0.1. Which is smaller: x or j?
j
Suppose 5*t = 5*f - 20, -2*f + 4*t + 19 = -f. Let o = 3 + -7. Let k be o/10 + 0/2. Which is greater: f or k?
k
Suppose 0 = -2*a + 40 - 30. Which is bigger: a or -4?
a
Let m be (154/(-12))/(-7) + 0. Let x = m + -4/3. Let l be (-4)/(-6) - (-6)/(-9). Is x not equal to l?
True
Suppose 5*i - 2 = 13. Let l be i*3/36*2. Let j = 0 + 0.1. Which is smaller: l or j?
j
Let p = -35 - -33. Which is smaller: -3 or p?
-3
Suppose 0 = 3*t - 4*t. Suppose t = 3*z - 3. Which is smaller: 4 or z?
z
Let g be (-1 - 2 - -9) + -2. Suppose g*u = -0*u. Is 2/9 greater than u?
True
Let t be 5 - (-2 + 8 + -3). Is t less than 4?
True
Suppose 0 = -9*q + 5*q + 128. Which is smaller: q or 33?
q
Let p be -5 - 10/(-14)*6. Are p and 2 non-equal?
True
Let c = -15 + 7. Let x(b) = b + 8. Let z be x(c). Let d = 379/7 - 54. Is z less than d?
True
Suppose -2*s = -6*s + 2*p, 3*s = 5*p. Which is smaller: -1/4 or s?
-1/4
Let h be ((-7)/(-14))/((-82)/(-104) - 1). Is h not equal to -1?
True
Let s be ((-2)/(-1))/(-4)*-4. Let d(h) = h**2 + h - 2. Let v be d(-3). Let t(a) = -a**3 + 3*a**2 + 4*a + 3. Let g be t(v). Which is greater: s or g?
g
Suppose 3*m = 5*i + 3 + 4, -15 = 5*m + 5*i. Which is smaller: -3 or m?
-3
Let i(x) = -8*x + 17. Let m be i(2). Let p(d) = -3*d
|
{
"pile_set_name": "DM Mathematics"
}
|
9
Calculate -34*-16.
544
What is the product of 0.067302 and -1?
-0.067302
What is the product of -202.5 and 0.2?
-40.5
Product of -19.5 and -288.
5616
-95532 times 5
-477660
Work out -36451 * 0.3.
-10935.3
1603.45 * 0.2
320.69
What is 1.24 times 132?
163.68
698 times -7.66
-5346.68
2417620*2
4835240
Product of 0.085 and -214.56.
-18.2376
Calculate -55*3.0526.
-167.893
Calculate -0.68535*1.
-0.68535
Product of 0.9 and -686.
-617.4
-608 times -2184
1327872
Calculate 785*-0.4.
-314
Work out 0.4624 * -0.087.
-0.0402288
What is 6 times -0.006821?
-0.040926
Product of 7 and 0.045034.
0.315238
What is 31 times -817?
-25327
Multiply 14.9974 and -4.
-59.9896
Work out -35.939 * -0.5.
17.9695
1232*-0.004
-4.928
-0.2 * 2.3723
-0.47446
What is the product of 396297 and -0.2?
-79259.4
4073 times -0.4
-1629.2
0.1741 times 77
13.4057
-0.44 times -7189
3163.16
Calculate 10752*-5.
-53760
What is the product of -4 and -614.6?
2458.4
Multiply -0.08783 and -0.4.
0.035132
-0.08 * -0.085015
0.0068012
Product of 616900 and 0.
0
-3722*-244
908168
What is 9823 times 0.052?
510.796
Calculate 2*-0.04173.
-0.08346
What is -603273 times 0.4?
-241309.2
Product of 183 and -575.2.
-105261.6
Calculate 2235*0.1868.
417.498
What is the product of -124128 and -0.9?
111715.2
-1.2*-0.0312
0.03744
Calculate 154687*-0.06.
-9281.22
What is 5 times 35.638?
178.19
Multiply 2070 and 7.
14490
10.8 times -483
-5216.4
2 * -14887
-29774
What is the product of 435 and 0.3?
130.5
What is the product of -0.04 and -16075?
643
Work out -1547 * 801.
-1239147
Calculate -3833.5*0.5.
-1916.75
-13.47 times -58
781.26
What is -5052 times -0.5?
2526
Work out -0.3 * -356.1.
106.83
Product of -184 and -57.
10488
96 times 0.04774
4.58304
1230*-24
-29520
-0.3 * 0.18169
-0.054507
What is the product of 0.221169 and -0.2?
-0.0442338
Product of -220230 and -1.1.
242253
What is the product of 509 and -0.02566?
-13.06094
Calculate 0.192772*0.1.
0.0192772
What is 0.11 times 237147?
26086.17
-51*-50.24
2562.24
What is 0.1 times 13291?
1329.1
Multiply 10537115 and 0.1.
1053711.5
0.28*-228673
-64028.44
0.49*-0.0156
-0.007644
4 times 2062.7
8250.8
Product of 43957 and -4.
-175828
Calculate 169.9*-0.07.
-11.893
Calculate -1*-131.841.
131.841
0.022431*-0.3
-0.0067293
Work out 8969 * -3.
-26907
Product of -0.0517 and -7.
0.3619
What is -6 times -3410?
20460
2*48217
96434
Product of 29.629 and -0.3.
-8.8887
Multiply -1.4129 and -3.03.
4.281087
11*-0.202343
-2.225773
Multiply -2 and 365.4.
-730.8
11*-5.5922
-61.5142
Work out -5 * 16531.
-82655
Work out -39 * -395.
15405
-0.53 times -0.187
0.09911
Work out -7.906 * 0.03.
-0.23718
Product of -59842 and 0.21.
-12566.82
Calculate -0.1*-2.27535.
0.227535
-301 times -854
257054
Work out 0.06 * -0.41609.
-0.0249654
Work out 5 * 491.4.
2457
Calculate 0.00253*31.
0.07843
Calculate 2077*-299.
-621023
Product of -59.3748 and 3.
-178.1244
What is 0.1 times 14256?
1425.6
Product of -2197 and 0.058.
-127.426
Work out -1077 * 0.06.
-64.62
16.25 * 1.09
17.7125
1517 times -3.6
-5461.2
4.2437 times 7
29.7059
Multiply 3 and -1.12947.
-3.38841
-8*12069
-96552
Multiply 17073 and -0.08.
-1365.84
Multiply -1745 and -14.
24430
What is the product of -0.4 and 2.92907?
-1.171628
Calculate -37495*5.
-187475
2*22.738
45.476
Product of 613 and -0.218.
-133.634
Product of 0.4 and -971.9.
-388.76
Work out 0.1 * 995695.
99569.5
What is the product of 0.4421 and 0.02?
0.008842
3275 times 1.2
3930
-97842 times -0.1
9784.2
22 * 0.678
14.916
-27576*0.35
-9651.6
20182 * -0.2
-4036.4
What is the product of -974 and -11.4?
11103.6
Calculate -2*-25.7096.
51.4192
What is -4 times 17457?
-69828
676615 * -3
-2029845
-12769 * -0.5
6384.5
What is the product of 5 and -0.020188?
-0.10094
Product of -0.25 and 40.1.
-10.025
Work out -1214 * -4.
4856
What is the product of 0.112 and 263.3?
29.4896
What is the product of 16920.3 and -0.5?
-8460.15
What is the product of 0.59 and -4712?
-2780.08
What is the product of -16019 and -1.4?
22426.6
Product of -1 and -43.1.
43.1
-42*376
-15792
Product of -240 and -13.2.
3168
Multiply 3.4 and -31716.
-107834.4
Calculate -2.67*0.31.
-0.8277
29.938 * 0
0
-2.62*0.044
-0.11528
Calculate -8*-128703.
1029624
Calculate -0.1*0.43114.
-0.043114
Work out 0.4 * 0.05165.
0.02066
What is -47 times 5814?
-273258
Product of -6 and 55465.
-332790
-0.25 times -21869
5467.25
6*5616
33696
-3 * -0.3019
0.9057
Product of -134006 and 5.
-670030
-219393*0.5
-109696.5
-261.6 * -2.03
531.048
What is the product of -0.2 and -148078?
29615.6
What is the product of -0.18 and -2.018?
0.36324
What is 634 times 3.82?
2421.88
Product of 0.272 and 0.105.
0.02856
Product of -93151 and -2.3.
214247.3
0.047*3385
159.095
Work out 14 * -0.362.
-5.068
0.1 * 0.74346
0.074346
-0.497236*-2
0.994472
What is the product of -1 and -20397?
20397
-1139.885 * 0.5
-569.9425
Calculate -0.04*-8507.
340.28
-38908 * 0.5
-19454
7.1*6132
43537.2
Multiply -0.0356345 and 0.
0
Product of -6076 and 0.15.
-911.4
What is -389460 times -4?
1557840
130 * 26793
3483090
-0.5 * -0.0195389
0.00976945
Work out 75.315 * -0.2.
-15.063
-8.7532*5
-43.766
Calculate -3*519646.
-1558938
What is the product of -5.57 and -11?
61.27
-16084.7*0.06
-965.082
Product of -4968 and -1.
4968
Multiply 0.02338 and -0.9.
-0.021042
2 * -60571
-121142
Product of 9995 and -0.058.
-579.71
What is -542554 times -0.3?
162766.2
Calculate 94*-6.4.
-601.6
Calculate -2*0.58128.
-1.16256
What is the product of 123 and -2195?
-269985
0.3 * -2.01178
-0.603534
Multiply -85 and -0.0594.
5.049
Product of -65.999 and -0.4.
26.3996
-3 * -0.09254
0.27762
Multiply 19.6 and 1.3.
25.48
-15*-101.26
1518.9
What is the product of 0.7 and -416.641?
-291.6487
0.05 * 0.64
0.032
1*-3214.7
-3214.7
1199*1.931
2315.269
Calculate 0.4*0.3978.
0.15912
-4.273 times -1.096
4.683208
What is the product of -38129 and -0.2?
7625.8
-6 times 89.44
-536.64
What is 1.3 times 74.79?
97.227
Product of 156 and 1241.
193596
Calculate -0.3*-0.047062.
0.0141186
What is 44507 times -0.6?
-26704.2
-0.1 times 5698
-569.8
What is -8.98 times -27?
242.46
Product of -487 and 0.12644.
-61.57628
Work out -0.228 * -29.8.
6.7944
What is the product of 0.3 and 0.09928?
0.029784
2 * -480.67
-961.34
Calculate 2263.3*9.
20369.7
2.93 times -0.9
-2.637
0.3 * -34914
-10474.2
Work out -88.961 * -0.1.
8.8961
Multiply 893.04 and -0.06.
-53.5824
Multiply 696.5 and 1.5.
1044.75
14 times -1.7307
-24.2298
Work out 3916.8 * -0.24.
-940.032
What is the product of -119415 and -0.5?
59707.5
0*-12037.2
0
Work out -190.09 * -117.
22240.53
0.167339 times 0.5
0.0836695
What is -2 times 11021.1?
-22042.2
Product of 4891.23 and 0.1.
489.123
-22224*-6
133344
-0.11675 times -6
0.7005
What is the product of 4701 and -495?
-2326995
Calculate 0.5*-84630.
-42315
What is the product of 92 and -3.39?
-311.88
-159.2 * -249
39640.8
1.031004 * 0
0
What is the product of 4920 and 1?
4920
0.01913 times -4
-0.07652
Work out -684 * 14.3.
-9781.2
What is 0.18 times -8.175?
-1.4715
Calculate -10844*0.02.
-216.88
Work out -82 * -1661.
136202
0.1215 times 0.5
0.06075
Product of 19446 and -122.
-2372412
What is -0.888 times -91?
80.808
What is 0.0697457 times -2?
-0.1394914
0.02*-51065
-1021.3
Multiply 33.656 and 4.
134.624
Work out 93.666 * 1.5.
140.499
28836*5.1
147063.6
52460 times -5
-262300
Multiply 0.5 and -2760.
-1380
What is -176725 times -0.5?
88362.5
-2295032 * -0.2
459006.4
What is -0.2 times -105.56?
21.112
Calculate 24*5663.3.
135919.2
Product of -0.61224 and 3.
-1.83672
What is the product of 0.03 and -5946?
-178.38
Multiply -0.4 and 77.
-30.8
37.6 * -5.44
-204.544
What is -35.3 times 2438?
-86061.4
-75.7329*-0.1
7.57329
What is -55894 times 17?
-950198
Work out 2.331 * 110.
256.41
Product of -0.4 and 83.05.
-33.22
2*16130
32260
0 times -16.0752
0
122 * 545
66490
Work out 6 * 4.69099.
28.14594
Calculate -24*-241.9.
5805.6
Calculate 0.3*5696.31.
1708.893
Work out 0.3071 * -0.068.
-0.0208828
Calculate -3715*5.
-18575
-0.4 * 2074.9
-829.96
Calculate -7005.16*-0.1.
700.516
Calculate 2440*-4.2.
-10248
Product of 5 and -520.3.
-2601.5
Multiply -3920 and -395.
1548400
8233 * -0.07
-576.31
Calculate 0.493*308.
151.844
What is -919341 times -0.4?
367736.4
Work out 193617 * -19.
-3678723
Calculate -2180522*-3.
6541566
-5.1 * 0.33
-1.683
-1325 times 0.1
-132.
|
{
"pile_set_name": "DM Mathematics"
}
|
v.
54
Let c be (-6 - -8)/((-3)/24). Let b = -6 - c. Let l(p) = 13*p - 122. Calculate the least common multiple of b and l(10).
40
Let k(i) = -i**3 - 13*i**2 - 3*i - 433. What is the lowest common multiple of k(-15) and 2?
62
Let k = 100 - 123. Let p = -72 - -41. Let s = k - p. Calculate the least common multiple of 1 and s.
8
Suppose -168*s + 165*s + 3*b + 6285 = 0, 5*s + 4*b - 10520 = 0. Calculate the least common multiple of 75 and s.
2100
Let s be 0/(4 + (-5 - -3)). Suppose -9*w = 3 - 30. Calculate the least common multiple of w and (s + (2 - -1))*1.
3
Suppose 96 = -6*u - 12. What is the common denominator of u/(1 + -7) + 754/(-244) and 73/12?
732
Suppose -3*b = 1786 - 622. Let m be (-57)/(-12) - (-1)/4. What is the common denominator of b/(-45) + (-2)/m and 49/12?
36
Calculate the common denominator of (6/28)/(1681/656) and -37/328.
2296
Let i be ((-3)/9)/(8/6888). Let t = 333 + i. What is the smallest common multiple of 16 + (0/(-2))/1 and t?
368
Let k(b) = b**2 - 6*b + 4. Let c be k(5). Find the common denominator of -1 + 59358/10920 + 5/7 and 2 + 267/(-60) + c.
20
Let m = -140075878 + 144978590768/1035. Let r = m - 1290/23. Calculate the common denominator of -24/5 and r.
45
Let k be ((-99)/27 - (-2)/(-6)) + 10. Suppose k = -9*x - 21. Let w = 3 - x. What is the least common multiple of w and 12?
12
Let b(c) be the third derivative of c**6/120 + 3*c**5/10 - 73*c**4/24 - 10*c**3/3 + 13*c**2. What is the least common multiple of b(-21) and 20?
380
Suppose 0 = -k + 13*k + k - 780. What is the smallest common multiple of k and 122?
3660
Let a(y) = 2*y**3 + 45*y**2 - 29*y - 21. Let g be a(-23). Calculate the common denominator of g/(-78) + 298/420 and 11/18.
630
Suppose -w = 4*u - 510, w = -0*w + u + 535. Calculate the least common multiple of w and 53.
530
Let a = -34 - -39. Suppose o = -2*c + 48, 19 = a*o - 3*c - 182. Calculate the least common multiple of o and 5.
210
Suppose -5*x - 18 = -128. What is the smallest common multiple of 52/10 - 25/125 and x?
110
Suppose -2*l - 1 = l + 5*u, -2*u = l + 2. Let q be (l/18)/(-2) - (-20384)/79821. Let p = -5303/1629 + q. Calculate the common denominator of 1/10 and p.
90
Let t = 1255968325/196 - 6408018. Let n = t - -680/49. Find the common denominator of -85/8 and n.
56
Suppose 9900 = -665*h + 698*h. What is the lowest common multiple of h and 690?
6900
Let t = 5 - 3. Let m = 586 + -444. Suppose -190 = -4*j - m. Calculate the smallest common multiple of t and j.
12
Let i be 80/(-200) + 2/5. Let z(w) = -w**2 + 6*w + 4. Let f be z(7). What is the common denominator of i + -1 + 19/f and -56/9?
9
Calculate the common denominator of (-3416)/2135*(-2 + 2858/1419) and 26/3.
1419
Let p(n) = 213 - 26*n - 47 + 57*n - 19*n. Calculate the smallest common multiple of 80 and p(-13).
80
Suppose 484*b + 59*b - 4456 + 112 = 0. Calculate the lowest common multiple of b and 59078.
236312
Let s(u) = -2*u + 76. Suppose -5*c = 5*b - 40, b = 2*c - 3 + 2. What is the lowest common multiple of 6 and s(b)?
66
Suppose 0 = i - 5*a - 1 - 0, -3*i + 20 = 2*a. Let g = 1775 + -1739. Calculate the lowest common multiple of g and i.
36
Suppose -2*w + 81 = -j + 4*j, 0 = -2*w + 5*j + 57. Suppose 0 = 5*y - y + w. What is the common denominator of -131/12 and 188/(-90) + (-2)/y?
60
Let x(g) = 170*g**2 - 30*g - 34. Calculate the smallest common multiple of 830 and x(-1).
830
Suppose -3*u - 283 = -b - 6*u, 5*u = -4*b + 1097. Calculate the common denominator of -131/282 and b/80*5 - (-5)/1.
564
Calculate the common denominator of 1 + -2 + 10541/8636 and -71/24.
408
Let y = -6286 + 6790. Calculate the least common multiple of y and 54.
1512
Suppose -3*h - 4*f = -21, 5*h + 0*h - 35 = 3*f. Let s = 371921/30 - 12400. Calculate the common denominator of (h - 15/54) + (0 - -1) and s.
90
Let j = 6958 + -6948. Calculate the least common multiple of j and 82.
410
Let r = 107/30 + 171/10. Find the common denominator of 12*(-8 + 7)/(2/1*-29) and r.
87
Suppose -62*k - 18 = -113 - 91. What is the lowest common multiple of 2 and k?
6
Let v = -240/319 + -2689/9570. Calculate the common denominator of v and 4/3*2/1.
30
Let y be (1 - (1 + 1)) + 4. Suppose 5*z + y*v = 394, -5*z - 4*v = -253 - 139. Let l = -71 + z. What is the lowest common multiple of l and 16?
144
Let f = -3309467/4 - -16449961/20. Let o = -4864 - f. What is the common denominator of o and -67/2?
10
Let q be 4 - (0 - -8) - -7. Let d(x) = 8*x**3 - 23*x**2 + x + 5. Calculate the lowest common multiple of 119 and d(q).
119
Let t = -13573 - -14329. What is the least common multiple of 1386 and t?
8316
Let n = -1654 + 43027/26. Let d = 235569 - 50646614/215. Let l = 2/43 + d. Calculate the common denominator of l and n.
130
Suppose -142*j + 692306 - 31580 = 0. What is the lowest common multiple of 6721 and j?
60489
Let m = 30913/9672 + -96/31. Find the common denominator of m and -89/195.
1560
Let y = 4417 + -1753. What is the lowest common multiple of 1110 and y?
13320
Suppose -4*y + 4*m = -28, -3*y + 0*y = m - 21. Calculate the lowest common multiple of 253/y + (-1 - 30/(-35)) and 8.
72
Suppose 3*s = -y - 1016, -5*y = -s - 152 - 192. Let o = s + 4103/12. Find the common denominator of o and -61/429.
1716
Let j(q) = -q**3 - 6*q**2 + 6*q - 5. Let i be j(-7). Suppose 2 = -4*t + 2*p, -3 = 4*p - 5*p. Calculate the common denominator of -36 and 328/8 + t/i.
2
Suppose 21*d - 347 = 94. Suppose 160 = d*q - 5*q. What is the least common multiple of 7 and q?
70
Let h(p) = 38*p**2 - 15*p - 59. Calculate the smallest common multiple of h(-3) and 451.
3608
Suppose 15*k + 1125 = 1170. Calculate the smallest common multiple of 183 and k.
183
Let k(t) = t**2 + 48*t - 448. What is the least common multiple of k(11) and 24?
1608
Suppose 4*x = -5*s + 1768, 175 + 899 = 3*s - 2*x. Suppose -5*m + t + s = -29, -t + 161 = 2*m. What is the lowest common multiple of m and 18?
234
Suppose 38 = -5*v - 4*a - 0, v + 4 = -2*a. Calculate the common denominator of 65/2 and -2*3/v*55/5.
10
Suppose 5*v = -2*a + 182, -a - 143 = -7*v + 3*v. What is the lowest common multiple of 72 and (-9)/v*320/(-10)?
72
Let d(o) = -2*o**3 + 6*o - 17. Let w be d(2). What is the common denominator of (-12)/(-8800)*-422 + w/(-28) and -87/10?
550
Find the common denominator of 5/36 and -14 - (-70)/56 - -2.
36
Let n = -3 + 4. Find the common denominator of (2/n + -1)/8 and 6/(-8) - 270/405*31/2.
24
Let o(r) = 1514*r**2 - r - 11. Calculate the least common multiple of 1 and o(1).
1502
Suppose 13*x = 15*x - 1800. Suppose -32*z + 37*z + x = 0. Find the common denominator of -87/8 and 2/6 + (-984)/z.
40
Let t = 982719/80 - 24571/2. What is the common denominator of 95/3208 and t?
32080
Suppose 15 = 4*w - 9. Suppose 0 = -u + w*u. Suppose -5*j + 5 = -u*j. Calculate the lowest common multiple of 3 and j.
3
Let m(k) = -300*k - 160. Calculate the least common multiple of m(-4) and 160.
2080
Let w(k) = 15*k**2 - 1. Suppose g = 56 + 7. Let z = 91 - g. What is the least common multiple of z and w(-1)?
28
Suppose 2*f + 10 = 0, -2*p + 132 = f + 129. Calculate the lowest common multiple of 890 and p.
1780
Suppose -2*c + 2*i - 10 = 0, -c - 21 = -4*i - i. Let m = -52902/253 + 4918/23. What is the common denominator of m and -2 - c*(-8)/(-9)?
99
Suppose 3*j - 146 + 68 = 0. Suppose -156 = -5*q + 134. Calculate the least common multiple of q and j.
754
Suppose 0*r = l - 2*r - 17, 2*r - 13 = -l. Suppose -m - 2*n - 3 = -l, 0 = m + n - 15. Calculate the least common multiple of m and 324.
324
Let j = -1249531/150 - -133281/16. Find the common denominator of j and 43/5.
1200
Suppose 5*k - 95 = 5*a - 0*a, 2*k = 5*a + 53. Suppose k + 21 = 7*h. What is the smallest common multiple of 1 and h?
5
Let q = -21 - 75. Find the common denominator of -5/48 and (-14)/12*(q/(-10) - 7).
240
Let r = 1164853/60 + -19413. What is the common denominator of 13/165 and r?
660
Suppose 0 = 814*k - 3033 - 3479. What is the least common multiple of k and 5616?
5616
Let i be ((-6)/3)/(-1 + 0). Suppose -18 = i*b - 5*b. What is the lowest common multiple of 990/495 + (-1 - -6) + (-1)/(-1) and b?
24
Let f = 47933/6 + -7969. Find the common denominator of f and 1 + (-93)/24 + 2.
24
Suppose -5*q + 193 = 173. Suppose 0 = 5*s - q*y - 135, -6*y + 4*y = -2*s + 54. Calculate the least common multiple o
|
{
"pile_set_name": "DM Mathematics"
}
|
01
Let x = 1218 - 1222.27. Round x to the nearest 10.
0
Suppose -12*s = -3*z - 13*s + 3, 2 = 2*z - 3*s. Let w be 16/(-12) + z - 5770/6. Round w to the nearest ten.
-960
Let h = 217.700916 - -0.061084. Let g = h - -0.238. Let p = g + -218.00000161. Round p to 7 decimal places.
-0.0000016
Suppose -3*p + 83044 = 4*q, 4*p + q = 147537 - 36790. Suppose y - 2*h + 535 + 6377 = 0, p = -4*y - 2*h. Round y to the nearest 1000.
-7000
Let a = 154 - -23. Let n = a - 176.99717. Round n to 3 decimal places.
0.003
Let x = -79 - -65. Let y = 202342.0129 + -202328. Let q = x + y. What is q rounded to 3 dps?
0.013
Let a = -57919846 - -57919897.799561. Let k = -51.8 + a. Round k to four decimal places.
-0.0004
Let p(t) = 194990*t - 80. Let v(o) = -129993*o + 53. Let k(f) = -5*p(f) - 8*v(f). Let u = -22 - -18. Let b be k(u). Round b to the nearest 100000.
-300000
Suppose 4*m = -32, -3*x + 771*m + 22809 = 774*m. What is x rounded to the nearest one hundred?
7600
Let f be 140717524/3*(-108)/72. Let s = f - -36458762. What is s rounded to the nearest one million?
-34000000
Let u = 247.42 + -247. Let w = 59669 - 59668.580104. Let j = w - u. Round j to five decimal places.
-0.0001
Let t = -65 + 111. Let o = t + -44.47. Let h = 1.5300083 - o. Round h to 6 decimal places.
0.000008
Let q = 5988 - 5987.999953135. What is q rounded to five decimal places?
0.00005
Let z be 192/168*(-7)/(-2). Suppose -14*b + 17*b = -y - 47012, z*y + 188012 = -3*b. Round y to the nearest 10000.
-50000
Let g = 7760894 + -7760851.99989. Let v = -35 - 7. Let p = g + v. Round p to 4 decimal places.
0.0001
Let t(j) = 2*j**2 + 11*j - 9. Let k be t(-6). Let o be 30479999/k - 25/75. What is o rounded to the nearest 1000000?
-10000000
Let t = -93 - -103. Suppose -t*a = -9*a - 5. Suppose -2*i = -4*r - 21812, 3*i = i + a*r + 21815. Round i to the nearest 1000.
11000
Let b = 52 + -51.959. Let s = -31.959 - b. Let z = -31.99979 - s. Round z to 4 decimal places.
0.0002
Let x = -44742 + 44742.000036343. What is x rounded to 6 dps?
0.000036
Let n = 286 + 13. Let w = 298.9999985 - n. Round w to six dps.
-0.000002
Let x = -21201574528.959973 + 21200666892.57. Let f = x + 907636. Let t = f - -0.39. Round t to 6 dps.
0.000027
Let c be ((-18)/(-15))/(4/(-10)). Suppose 12*f + 594 = 9*f + 5*o, 0 = -2*f - o - 396. Let l be (5 + c)*(-2 - f). What is l rounded to the nearest ten?
390
Let l = -90 + 73.8. Let q = -760.8 + 756.1. Let j = l - q. What is j rounded to the nearest integer?
-12
Let y = 8 + -23. Let s(b) = 469333*b**2 - 3*b + 30. Let u be s(y). Suppose 0*l + 8*l = u. What is l rounded to the nearest 1000000?
13000000
Let t = -198760 + 198901.0236. Let h = -141 + t. What is h rounded to 3 decimal places?
0.024
Let w = -59.0099982184 - -59.01. Round w to 7 decimal places.
0.0000018
Let y = 92941.54 - 91361. What is y rounded to the nearest ten?
1580
Let q = 773 - 774.668. Let j = q + 9.4424. Let n = j - 7.8. What is n rounded to 3 dps?
-0.026
Let n(y) = -1. Let s(d) = -5*d + 2. Let v(k) = -6*n(k) - s(k). Let i be v(0). Suppose -200 = 5*f - i*f. What is f rounded to the nearest 1000?
0
Let y be (-464989)/(-362)*(-1 + (-1 - -20)). Round y to the nearest 1000.
23000
Let v = -75796.3 - -71709. Round v to the nearest one hundred.
-4100
Let j = -201.72950058 - -201.73. What is j rounded to 5 decimal places?
0.0005
Let k(x) = 3*x**2 - 13*x - 6. Let c = -90 + 95. Let v be k(c). Let q be (14/v)/(2/68). What is q rounded to the nearest 10?
120
Let m = 5302.824 + -5292. Round m to the nearest integer.
11
Let s(u) = -5*u + 6. Let g be s(3). Let j be 12/g*(63/6)/7. Let n be -4*50000 - 4/2 - j. Round n to the nearest one million.
0
Let b = -416.1 - -411.281. Let s = b - -4.8189994454. Round s to 7 dps.
-0.0000006
Let r = 20660 + -21046.86. Round r to the nearest 100.
-400
Let i = 399.6 + -36.6. Let h = i + -22. Let g = h - 341.000644. Round g to 4 decimal places.
-0.0006
Let c = 17 + -40. Let u(j) = -786959*j - 57. Let f be u(c). Suppose f = -17*r + 18*r. What is r rounded to the nearest 1000000?
18000000
Let i = -3027 + -1531. Suppose 3488 + 3976 = -3*q. Let o = q - i. Round o to the nearest one hundred.
2100
Let n(b) = 7876389*b - 1387. Let k be n(-17). Round k to the nearest one million.
-134000000
Let c = 0.16 - -3.84. Let h = 0.02216 + -4.022. Let r = c + h. Round r to four dps.
0.0002
Let h = 97.7021884 - 97.5322. Let m = h - 0.17. What is m rounded to 6 dps?
-0.000012
Let b(h) = -1534*h**2 - 49*h - 16. Let m = 70 + -78. Let f be b(m). Round f to the nearest ten thousand.
-100000
Let p(y) = -61351*y**3 - 6*y**2 - 6*y + 4. Let c be p(-2). What is c rounded to the nearest one thousand?
491000
Let x = 127769.938057 + -127770. What is x rounded to 2 decimal places?
-0.06
Let t = 144 - 146.97. Let q = -3.216 - t. Let k = q + 0.09. What is k rounded to two dps?
-0.16
Let n = 139.64 + -139.640049585. What is n rounded to 6 dps?
-0.00005
Let y = 5432.80515 - 5433. Round y to 3 dps.
-0.195
Let n(t) = t - 40. Let q be n(-12). Let l be (-3)/(-2) - q/8. Suppose l*i = 13*i + 245. What is i rounded to the nearest ten?
-50
Let p = 2.405 - -88.215. What is p rounded to the nearest integer?
91
Let t(l) = -10*l - 54. Let o be t(-7). Let n be 161606/o + (-87)/232. Round n to the nearest one thousand.
10000
Let c = -25.28217635 - -4.38218022. Let o = c - -20.9. Round o to 6 decimal places.
0.000004
Let p(d) = -521*d**3 + 64 - 4*d**2 - 545*d**3 + 18*d - 68. Let w be p(-6). Round w to the nearest one hundred thousand.
200000
Let k = 3602.2070028 + -3602.2. What is k rounded to 4 decimal places?
0.007
Let a = -31670 - 262435. Let d = a + 1104105. Round d to the nearest one hundred thousand.
800000
Let u = -1967.234 - 2.766. Let q = -1969.98759 - u. What is q rounded to three dps?
0.012
Let u be (-178447478)/(-77) - (-4)/14. Round u to the nearest ten thousand.
2320000
Let o = 844 - 844.1026. Round o to 1 decimal place.
-0.1
Let b = 52122 - 27836. Suppose -9*q + 11*q - b = 0. Let n = q + -8443. Round n to the nearest 10000.
0
Let i = 3439725 + -2435854. Let o = 1003965.0154 - i. Let w = -94 + o. What is w rounded to three decimal places?
0.015
Let w = -266.35 + 266.35014213. Round w to six decimal places.
0.000142
Let j = -82.668 + -45.306. Round j to the nearest integer.
-128
Let j = -0.05602 + 0.05572223. Round j to 5 decimal places.
-0.0003
Let x = -251739.119 + 251871. What is x rounded to the nearest 10?
130
Suppose -20*f = -120 + 60. Let p(o) = 180*o - 39. Let c be p(f). Round c to the nearest 10.
500
Let h = -10180 + 10179.9999980082. What is h rounded to seven decimal places?
-0.000002
Let y = -275.87 - 36.83. Let t = -288 - y. Round t to the nearest 10.
20
Let n = 15145.859 - 15153. Let q = n - -7.2. Let s = 0.06003 - q. Round s to three dps.
0.001
Let n = -2727.698 + 2725. Round n to the nearest 10.
0
Let l = 30.2764 - 30.4. Let o = -0.27 - -0.153. Let f = l - o. Round f to 3 dps.
-0.007
Let a = 5834.8 - 5704. Let k = -171 + 318. Let n = k - a. What is n rounded to the nearest integer?
16
Suppose -577*m = -743*m - 335818. What is m rounded to the nearest one hundred?
-2000
Let f = 15.191 + -0.831. Let d = 13.6 - f. Round d to one decimal place.
-0.8
Let h = 3574 + -3573.9999555. Round h to six decimal places.
0.000045
Let f = 1546.2 - 1543.3356. Round f to zero decimal places.
3
Let r = 37.2 - 194.2. Let d = r + 157.156. Let c = -0.15298 + d. What is c rounded to 3 dps?
0.003
Let g = 3109453.4028 - 3110785. Let q = g + 1332. Round q to one dp.
0.4
Let r(q) = 40 - 14 - 8 - 3*q**2 + 8*q - q**3. Let t be r(-4). Suppose -5*l + 3 + 12 = 0, 3*l = t*n - 8371. Round n to the nearest one hundred.
4200
Let c = 0.021983272 - 0.02196. What is c rounded to 7 decimal places?
0.0000233
Let m = 438.5 - 63.5. Let a = -377.965 + m. Round a to one decimal place.
-3
Let q = 110.2 + 2.8. Let f = q + -113.0226. What is f rounded to 3 decimal places?
-0.023
Suppose -1022205 = -81*t + 2182155. What is t rounded to the nearest one thousand?
40000
Let s = 3900 + -3899.999971206. What is s rounded to 6 dps?
0.000029
Let q = 22296.924 + -22284. Round q to zero dps.
13
Let b = -0.53284 - -0.5507. What is b rounded to 3 decimal places?
0.018
Suppose 0 = 111*k + 63*k + 4*k - 284800. What is k rounded to the nearest one hundred?
1600
Let q = -649.350698499 - -5
|
{
"pile_set_name": "DM Mathematics"
}
|
45.
-99.7714445
-165084 - 8132
-173216
What is 1.58 plus -206.75?
-205.17
Work out 3 - -1349235.
1349238
What is -14 - 1.430462?
-15.430462
What is 0.12 minus 0.1730354905?
-0.0530354905
Subtract 37363 from -25.3909.
-37388.3909
What is 6559365 - -5?
6559370
Sum 712 and 873748.
874460
Add -0.8 and 502.0028.
501.2028
Calculate 345.77 + 44733.
45078.77
What is 1303.5646827 take away 0.4?
1303.1646827
-1559 + -0.4401316
-1559.4401316
Calculate 874470.071 - -1.
874471.071
Calculate 0.4 + -144988707.
-144988706.6
Add -430 and -3806.9893.
-4236.9893
-3+-4211177
-4211180
Calculate -0.2 - 10261080.
-10261080.2
Work out 2960 - -24262.
27222
-3.781682+1.94
-1.841682
What is the difference between -0.5 and 909129397?
909129397.5
What is -0.5757 less than -1.1891?
-0.6134
Calculate -0.004454453 + 0.2.
0.195545547
Calculate 5 - -200892146.
200892151
-48.24233 + -346
-394.24233
What is 296019184 less than -0.19?
-296019184.19
Work out 455388 + 1.23.
455389.23
Calculate 0.2131 + 526441.
526441.2131
Calculate -17 - 121533675.
-121533692
-0.16287629+4
3.83712371
What is the difference between 0 and -153176735?
153176735
What is -24 - -235776?
235752
Calculate -4 - -0.105917547.
-3.894082453
Sum 56 and -2844.3211.
-2788.3211
-306508 + 0.14
-306507.86
Add -2175942 and -2.
-2175944
27 + -30.30122
-3.30122
Total of -142 and -2673.
-2815
What is -0.2 + -5.98315745?
-6.18315745
4543.78127 + -5.2
4538.58127
Add -6133129 and -0.3.
-6133129.3
Work out -376203.4 - 155.
-376358.4
What is the difference between -178.9 and -98730?
98551.1
What is -1464 - -1115.6?
-348.4
2.477 - 26437
-26434.523
What is 1083 + 6916?
7999
Sum -151.13 and 0.639.
-150.491
-0.07433 + -1.852
-1.92633
Add -2377 and -107.76.
-2484.76
-0.4293+13.3316
12.9023
What is 0.21188546 - -11?
11.21188546
Add together 0.0216121 and 314.
314.0216121
Sum -0.4 and -150590735.
-150590735.4
Total of -6 and 151982.
151976
Sum -177212 and -195.2.
-177407.2
What is the distance between 77.93 and -100?
177.93
What is the difference between 1813027293 and 0.4?
1813027292.6
What is the difference between 40 and 751.7152?
711.7152
What is 6500.4 less than 1032.5?
-5467.9
Add together 24.6 and -930.19.
-905.59
What is 23372699 + -8?
23372691
-35.356+-7.7572
-43.1132
What is the distance between 111166 and -554638?
665804
Total of -214037202 and -0.3.
-214037202.3
Sum 161725480 and -3.
161725477
Add 284157 and -318.
283839
-3.919559 - -0.07
-3.849559
Work out 2556 + -0.3078.
2555.6922
What is 0.0092 minus 1.1007?
-1.0915
Work out -0.2 - 5883764.
-5883764.2
0.213543+0.7
0.913543
Total of 14.70288876 and -0.15.
14.55288876
What is the distance between -118 and 807084923?
807085041
Total of -67 and -0.0763989712.
-67.0763989712
155 + 128031311
128031466
Subtract 13799 from -1104359.
-1118158
Total of -16899567090 and -5.
-16899567095
-0.3 + 2013000167
2013000166.7
Work out -3 - 478813630.
-478813633
Calculate 19 - 6033.8134.
-6014.8134
What is -5 - 0.7610913?
-5.7610913
What is -275 - -60069437?
60069162
-0.56421 + 2541
2540.43579
What is 7.8043776 - -1.9?
9.7043776
What is the distance between -74507549 and -16?
74507533
-491487 - -1408
-490079
Work out -752701124 - 0.2.
-752701124.2
Total of -11.92 and 11156.6731.
11144.7531
Add together -168.43802 and 104.
-64.43802
What is 2329749 + 72?
2329821
Put together 9.98 and -6921.
-6911.02
What is -135700818.25 - 3?
-135700821.25
Put together 42 and 72445933.
72445975
Calculate 675862396 - -5.
675862401
What is -36723 minus 468472?
-505195
-0.04091 - 0.46082
-0.50173
What is -37405323 less than 245?
37405568
What is the distance between -71 and -15529481?
15529410
What is the difference between -0.079 and -2865?
2864.921
What is the distance between 150775 and 0.2?
150774.8
-34523765 + 0.72
-34523764.28
Work out 87954 + 58.
88012
What is 14894751659 take away 0.3?
14894751658.7
Work out 376529 + -4.
376525
-0.4+385298.17
385297.77
Add together 0.005 and -94297252.
-94297251.995
Calculate -1478.7 + 81.86.
-1396.84
Add 21.29686 and -0.111.
21.18586
Add -7255 and -30.65351.
-7285.65351
Calculate -1560529 + -863.3.
-1561392.3
What is the difference between 9763502 and 1424?
9762078
Calculate 0.007599417 + 0.1284.
0.135999417
Total of 0.28 and -1370669.
-1370668.72
What is -0.21 take away -57672103?
57672102.79
-0.113 - 2025.825
-2025.938
What is 522008921 plus -6?
522008915
Calculate 1.1 + 22071703.
22071704.1
Work out 0.2 - -3.0457079117.
3.2457079117
Add -1.1 and 6164278.07.
6164276.97
What is the distance between -2036 and -392380?
390344
Add 0.2 and -2058.899298.
-2058.699298
Total of -0.5 and 17.496966.
16.996966
Sum -134 and 0.228774.
-133.771226
What is 3.6 less than -0.024338?
-3.624338
Add -0.048 and 1234842.
1234841.952
What is the difference between 0.3 and 24.00538531?
23.70538531
What is -112 less than -87.218216?
24.781784
-1024771777 + 5
-1024771772
What is -0.04959 plus 4366?
4365.95041
What is the distance between 13.3 and 93.24066?
79.94066
What is 0.038116187781 take away -0.5?
0.538116187781
What is 29.2 less than -1838171?
-1838200.2
Sum -88 and -24817.1.
-24905.1
-0.0059169+-0.7493
-0.7552169
Work out 2129 + 2632146.
2634275
Put together 1402.9045503 and -4.
1398.9045503
What is -35233 plus -0.39?
-35233.39
What is -60870375761 minus 5?
-60870375766
What is 1758.432982 - -0.14?
1758.572982
-0.158+28481966
28481965.842
What is 4538 plus 1891.268?
6429.268
What is 1 less than 31509498565?
31509498564
What is -71 - -35339823?
35339752
74898966 + 5
74898971
Calculate -14 - 545503.63.
-545517.63
What is 38 minus -1.230146289?
39.230146289
Work out -10.5 - -67888606.
67888595.5
What is -129.39707 take away 0.191?
-129.58807
What is the distance between 0.3 and 3002256?
3002255.7
Calculate 16.9 - 8733.43.
-8716.53
What is -481169 + 0.11?
-481168.89
0.09 - 11.8136202
-11.7236202
Add -108 and 5209.54102.
5101.54102
What is the difference between -355.7 and -6535?
6179.3
What is -9750 - 1.64226?
-9751.64226
Add together -5 and -3494031155.
-3494031160
Calculate -16629 - -2189.3.
-14439.7
Total of -4818 and 35292.
30474
Add together -18.3 and 269282.
269263.7
0.12+70669555
70669555.12
What is 0.0534317 minus 1.389?
-1.3355683
What is 72165 - 3.9128?
72161.0872
Work out -0.287 - 23530063.
-23530063.287
-0.88 + -2.494609
-3.374609
What is the difference between 3612037 and 5?
3612032
What is -0.3 take away -0.002543752?
-0.297456248
What is the distance between -3442.5 and 0.0609?
3442.5609
Total of -1.05144 and -0.882.
-1.93344
Calculate 1.71053758 - -4.
5.71053758
152 - -230491325
230491477
What is the distance between 0.4 and 6470486529?
6470486528.6
Put together -2 and -0.25833871.
-2.25833871
Work out 29 - 26277320.
-26277291
Calculate 260.660012 + -52.
208.660012
What is 0.07197 less than 3.89?
3.81803
What is 88022 - -19.41?
88041.41
What is -1410845 less than 479?
1411324
Calculate -3058 + -6.962.
-3064.962
Subtract 5440.2654 from 14.
-5426.2654
Total of -0.05 and -105086136.4.
-105086136.45
What is 0.1927 plus 0.7?
0.8927
Total of 4.97 and 0.32456083.
5.29456083
Total of -0.1 and -145502393.
-145502393.1
Put together 92.64568 and -6.
86.64568
What is 36356 + 554?
36910
Total of 14 and 47778.
47792
Total of -258619.2 and -0.8.
-258620
Calculate -0.15 - -13332471.
13332470.85
Total of -1928 and 276204.
274276
Work out 1306002 + -144.
1305858
Calculate -15 + 4109816.
4109801
Put together 13553 and -59.
13494
What is the difference between 0.454 and 828874?
828873.546
Add -0.055 and -761531.222.
-761531.277
Subtract -6.78 from 591.66.
598.44
Add -42.6 and -1085936.7.
-1085979.3
Put together -215.72 and 4234.
4018.28
What is 451169 minus -17?
451186
Subtract 43.7655 from -339.9.
-383.6655
Add together 2141229 and -11.
2141218
Subtract -3542487 from 100.3.
3542587.3
Add 9095.57 and 22689.
31784.57
What is -68 minus -11878927?
11878859
What is -11 + 761353?
761342
Sum -54.203 and -1426.
-1480.203
What is the distance between 4200354 and -7?
4200361
Calculate -809.70504 - 18.
-827.70504
-6104 - 5389
-11493
-302488+-5.6
-302493.6
What is 24150250673 plus 0.4?
24150250673.4
-127877.9 + -55.07
-127932.97
Calculate -4668.8 + 1.4641.
-4667.3359
What is -21070.63 take away 0.475?
-21071.105
-47+21554.46358
21507.46358
Add -0.05639 and -0.347918.
-0.404308
3259750 - 0.351
32
|
{
"pile_set_name": "DM Mathematics"
}
|
implify (3 + (3*3*sqrt(264) + sqrt(264))/(sqrt(864) + sqrt(24) - sqrt(6)))**2.
120*sqrt(11)/13 + 5921/169
Simplify ((sqrt(135) + sqrt(135)*4)/sqrt(3))/(sqrt(3645)/sqrt(5)).
5*sqrt(5)/9
Simplify (-2 + (sqrt(170) + (sqrt(170) - 2*sqrt(170))*-1)/(sqrt(50)/sqrt(245))*6)**2.
-336*sqrt(17) + 119956
Simplify -6*(0 + sqrt(3) + sqrt(12)/(sqrt(4)*1) + (sqrt(33)/(4*sqrt(11)))**2)*3.
-36*sqrt(3) - 27/8
Simplify 4*((1 + sqrt(1331) - sqrt(1331)) + sqrt(1331) + 2 + sqrt(11) + -5)**2 + -2.
-192*sqrt(11) + 6350
Simplify 3 + (sqrt(1274)*2*-6)/(-3*sqrt(128)*-1).
-7*sqrt(13)/2 + 3
Simplify (sqrt(605)/(sqrt(11) - -5*sqrt(22)/sqrt(2) - sqrt(11)))/(6*(sqrt(160) + sqrt(40))/sqrt(8)).
sqrt(11)/90
Simplify -4*((-1 + sqrt(300))**2 + 3) + 1.
-1215 + 80*sqrt(3)
Simplify (sqrt(66)/(sqrt(12)/sqrt(2)))**2 + (2*sqrt(110))/sqrt(10) + ((sqrt(891)*1)**2 + -5 - (sqrt(891) - (sqrt(891) + 1*sqrt(891) + -2))).
11*sqrt(11) + 895
Simplify (2*(sqrt(143)*1 + sqrt(143))/sqrt(11) + -6*sqrt(52)/sqrt(4) + 1)*-1.
-1 + 2*sqrt(13)
Simplify -1 + (-1*sqrt(153))**2 + (-1 + sqrt(1088))*-6 + sqrt(1088).
-40*sqrt(17) + 158
Simplify -1*(((sqrt(304) - (sqrt(304) - sqrt(304)*3*3))**2 - sqrt(304)) + 2).
-24626 + 4*sqrt(19)
Simplify (sqrt(252) + 1 + sqrt(252))*6 + sqrt(70)/(sqrt(250)*-1).
6 + 359*sqrt(7)/5
Simplify (4 + ((sqrt(3888) - ((sqrt(3888) - (sqrt(3888) + -1*sqrt(3888))) + sqrt(3888))) + sqrt(3888) - sqrt(3888)) + 0 + sqrt(3888)*2)**2.
288*sqrt(3) + 3904
Simplify -6*((sqrt(130) + (sqrt(130) + ((-2*sqrt(130) + sqrt(130))*3 - sqrt(130)) - sqrt(130)))/(sqrt(20)/sqrt(2)*-3)*-4 + 4)**2.
-1344 + 192*sqrt(13)
Simplify (0 + sqrt(76))**2*-2 + 0 - ((-4 + sqrt(76) + -1 + sqrt(76) - sqrt(76)) + 4).
-151 - 2*sqrt(19)
Simplify ((sqrt(576) - (sqrt(576) + -3*sqrt(576))*3)/(1*sqrt(12)*4 + sqrt(432)*1 + sqrt(432)))**2.
147/16
Simplify (2*sqrt(21)*1 - (((sqrt(126)*1 + sqrt(126))/sqrt(6) - sqrt(21)) + sqrt(21)))/(5*(-4*sqrt(175) + sqrt(175) + sqrt(175))).
0
Simplify (-4*((sqrt(76) - (sqrt(76) - sqrt(76)*-2)) + 5 - (-4 + (-1 + sqrt(76) - sqrt(76))))*1*6)**2.
-46080*sqrt(19) + 232704
Simplify -6*-4*sqrt(68) + 5 - ((4*sqrt(204)*-1)/(sqrt(432)*-1))**2.
-23/9 + 48*sqrt(17)
Simplify 3 + 1*(sqrt(7) - sqrt(28)/sqrt(4)) + 5 + 0 + sqrt(847).
8 + 11*sqrt(7)
Simplify (2*(-3 + -2*(((sqrt(300)*2 + sqrt(300) - sqrt(300)) + sqrt(300) - sqrt(300)) + 2 + sqrt(300)))*-4)**2.
53760*sqrt(3) + 694336
Simplify (-3 + sqrt(80)*-2)**2 - (-3 + sqrt(15)/sqrt(3) + 0).
47*sqrt(5) + 332
Simplify (5*-1*sqrt(95) - (sqrt(95) + (2*sqrt(95)*1 - sqrt(95)) + sqrt(95)))/((sqrt(405) + sqrt(405) + sqrt(405)*2)*6).
-sqrt(19)/27
Simplify ((5 + (sqrt(1872)*2 - sqrt(1872)))**2 - sqrt(117)/(sqrt(225)*4)) + -3.
2399*sqrt(13)/20 + 1894
Simplify 5 + (-5 + 5 + sqrt(99) - (sqrt(176) + 5 + 1*sqrt(11)*2)).
-3*sqrt(11)
Simplify 1 + (5 + (sqrt(7) + 1 + -2)**2 - (((sqrt(84) - sqrt(84)*2)/sqrt(12))**2 - sqrt(70)/sqrt(40))).
-3*sqrt(7)/2 + 7
Simplify ((sqrt(208)*4)/sqrt(8))/(6*sqrt(162))*-6.
-4*sqrt(13)/9
Simplify (sqrt(684)*-2 + sqrt(133)/(sqrt(42)/sqrt(6)) + -4)**2*-3.
-6945 - 264*sqrt(19)
Simplify (0 + ((sqrt(567) + sqrt(567) + 1 + sqrt(567))*-2 + -4*(sqrt(567) - (sqrt(567)*-2 - sqrt(567))) - ((1 + sqrt(567) - sqrt(567)) + -2 + 1)))**2.
792*sqrt(7) + 274432
Simplify (-3*((sqrt(136) + sqrt(136)*2 + sqrt(136) - sqrt(136)) + sqrt(136) + sqrt(136))*-2)/((sqrt(800)*3 + sqrt(800))*3 + sqrt(800)).
3*sqrt(17)/13
Simplify ((2 + sqrt(720))*-4 + (-4 + sqrt(720) + 0)**2)*-5.
-3640 + 720*sqrt(5)
Simplify -5 + (0 + sqrt(13)*-2)*1 + (sqrt(13) - ((sqrt(208)/sqrt(4))/sqrt(4))**2 - sqrt(117)/(-2*sqrt(9))).
-18 - sqrt(13)/2
Simplify 5 + (1 + sqrt(2299))*6 + sqrt(2299) + -5 + -5.
1 + 77*sqrt(19)
Simplify (1*(2 + sqrt(243) + sqrt(243)) - (sqrt(3) + (sqrt(45)/sqrt(3))/sqrt(5))*6)**2.
24*sqrt(3) + 112
Simplify (-5*(sqrt(68) - 1*(sqrt(68) - sqrt(68)*3)))/((sqrt(216) + 1*sqrt(216) - sqrt(216))/sqrt(6) + sqrt(36)).
-5*sqrt(17)/2
Simplify (-1*((3*sqrt(66) - sqrt(66) - sqrt(66)) + sqrt(66)))/sqrt(6) - (-4 + (0 + sqrt(11))*4).
-6*sqrt(11) + 4
Simplify (0 + 2 + 2*sqrt(12) + 4)**2.
48*sqrt(3) + 84
Simplify 2*((3 + sqrt(539)*2)**2 - (sqrt(539) + 1)*6).
84*sqrt(11) + 4318
Simplify (-3*sqrt(22)/sqrt(2)*-4)**2 + (1 + sqrt(275))**2*-2.
-20*sqrt(11) + 1032
Simplify 5*((2*sqrt(2496) + sqrt(2496))/sqrt(3) - (0 + 4 + (sqrt(13)*-2)**2)).
-280 + 120*sqrt(13)
Simplify (sqrt(11) - 6*sqrt(22)/sqrt(2))*5 - ((sqrt(121) - (sqrt(121) + (sqrt(121) - (sqrt(121) + sqrt(121)*-2))) - sqrt(121))/sqrt(11)*5)**2.
-2475 - 25*sqrt(11)
Simplify (5*((1*sqrt(44))/sqrt(4) - (2 + sqrt(11) + 0 - sqrt(11))) + 0)**2.
-100*sqrt(11) + 375
Simplify (((3*(sqrt(77) - -1*sqrt(77) - sqrt(77)))/(-4*sqrt(11)*1) + 0)*3)**2*2.
567/8
Simplify -5 + 5*((2 + sqrt(425))*-6)**2.
3600*sqrt(17) + 77215
Simplify ((sqrt(304)*2)**2*-5 - sqrt(304)) + -4 + ((-1*sqrt(304))**2 - sqrt(304)) + -4.
-5784 - 8*sqrt(19)
Simplify -5 + ((sqrt(22)/sqrt(2))**2 - sqrt(11)) + (3*sqrt(121))/sqrt(11) - (2 + (sqrt(44) - (3 + sqrt(704) + sqrt(44))))**2.
-699 - 14*sqrt(11)
Simplify -4*((sqrt(190) - (sqrt(190) - (2*sqrt(190) + sqrt(190) + sqrt(190))*2))/(sqrt(40) + sqrt(120)/sqrt(3) + sqrt(40) + sqrt(40)) + 0).
-4*sqrt(19)
Simplify (1 + (0 + sqrt(17))**2 + sqrt(17) + (sqrt(17) - sqrt(17)*2) + sqrt(17) + 4)*3.
3*sqrt(17) + 66
Simplify (sqrt(1944) + (sqrt(1944)*-1 - sqrt(1944)))/(2*sqrt(392)) - (1 + -5 + (sqrt(96)/sqrt(2))**2).
-44 - 9*sqrt(3)/14
Simplify -6*((2*sqrt(13)*-5)**2 - (sqrt(26)/sqrt(18))**2 - (-4*1*sqrt(143))/sqrt(11))*6.
-46748 - 144*sqrt(13)
Simplify -3 + ((sqrt(216) + sqrt(24))*-5)/(sqrt(12) - (sqrt(1728)*-2 + sqrt(1728) - sqrt(1728))) + 0.
-3 - 4*sqrt(2)/5
Simplify ((sqrt(400) - sqrt(400)*2) + sqrt(256)*-6)/(1*(sqrt(8) + -1*sqrt(512))).
29*sqrt(2)/7
Simplify (((sqrt(192) - 1*sqrt(192)) + 4 - -6*-1*sqrt(192)) + (sqrt(192) + -1 + sqrt(192))*3 + (sqrt(192) + -1)*-6)**2.
-672*sqrt(3) + 6961
Simplify (-4 + 4*(sqrt(147) + -1) + sqrt(528)/(sqrt(22)/sqrt(2)) + -5)**2.
-832*sqrt(3) + 3241
Simplify (5 + (sqrt(832) - -1*sqrt(832)*-3) + 3)**2.
-256*sqrt(13) + 3392
Simplify (sqrt(19) - (sqrt(19)*1 + -2)**2) + sqrt(171)*-1 + 1.
-22 + 2*sqrt(19)
Simplify (5 + (-1*sqrt(114)/sqrt(6) + sqrt(19) + 3 + -1)**2)*-1.
-9
Simplify -5*((-3 + -2*sqrt(2))**2 + sqrt(2) - ((-1 + sqrt(288))**2 + sqrt(288)))*6.
-750*sqrt(2) + 8160
Simplify 0 + (-5 + (-6*sqrt(110) - sqrt(110))/sqrt(10) + sqrt(121)/(sqrt(132)/sqrt(12)))**2.
60*sqrt(11) + 421
Simplify (sqrt(112)*1*1 - sqrt(112) - (sqrt(112) + (sqrt(112) + 1 + sqrt(112) + -3 + sqrt(112))**2))*2 + 0.
-2024 + 88*sqrt(7)
Simplify (sqrt(704) - (-1 + sqrt(704) + sqrt(704) + 1) - sqrt(704) - sqrt(132)/((sqrt(12)*-2 + sqrt(12))*-5))**2.
72171/25
Simplify ((sqrt(84) + (sqrt(84) + sqrt(84)*-1 + sqrt(84))*-2 - sqrt(84))*5)/(sqrt(36)/sqrt(3)*6 + 3*(sqrt(12) + (sqrt(12) + 1*sqrt(12) - sqrt(12)))).
-5*sqrt(7)/6
Simplify -2 + ((sqrt(70)/sqrt(7))/sqrt(5)*-4 - ((-2*sqrt(2) + sqrt(2))*-3 + -4)).
-7*sqrt(2) + 2
Simplify ((-2*sqrt(72))**2 - (sqrt(2) + sqrt(162)*2)) + (sqrt(2)*-3 + sqrt(2) + -3 - sqrt(24)/sqrt(48)).
-43*sqrt(2)/2 + 285
Simplify -3*(0 + sqrt(189)/sqrt(3) + 1) + 2.
-9*sqrt(7) - 1
Simplify 4*(-1 + -3*(sqrt(2299) + -2) + ((sqrt(2299) + (sqrt(2299) + -2 - sqrt(2299)) + sqrt(2299) - sqrt(2299))**2 - sqrt(2299)) + 0).
-352*sqrt(19) + 9232
Simplify (2*(3*(1 + sqrt(405) + sqrt(405)) + -1*sqrt(405) + 0 + sqrt(405)))**2*-2.
-116712 - 2592*sqrt(5)
Simplify ((sqrt(77) + 6*-2*sqrt(77) - sqrt(77)) + (1*(sqrt(77) + -2*sqrt(77) - sqrt(77)) - sqrt(77) - sqrt(77)) + sqrt(77))/(2*sqrt(11)*-2*2).
15*sqrt(7)/8
Simplify ((-5*-1*sqrt(77) - sqrt(77))/sqrt(7) + ((sqrt(55)/sqrt(5) - sqrt(11))*-1 - -3*-2*sqrt(11)))**2.
44
Simplify sqrt(99)/(sqrt(9)*-3) + 5 - ((sqrt(1584) + sqrt(1584) + 3 + sqrt(1584))*1)**2.
-14260 - 649*sqrt(11)/3
Simplify (-3*(5*sqrt(153) + 2 + 1))**2.
810*sqrt(17) + 34506
Simplify (-3*sqrt(132)*-3)/(sqrt(33)/sqrt(12) + sqrt(891)*1).
36*sqrt(3)/19
Simplify (sqrt(45)/(sqrt(99)/sqrt(176)) + (sqrt(40) + sqrt(4000) + sqrt(4000) + sqrt(4000)*3)/sqrt(8))*2.
110*sqrt(5)
Simplify (((2*sqrt(117) - sqrt(117)) + 1)*-1 - (-4*(sqrt(117) + 1) + -2))**2.
90*sqrt(13) + 1078
Simplify (sqrt(56)/((-1*sqrt(4) - sqrt(4))*-5))/(5*sqrt(35)/sqrt(5) + (-2*sqrt(70))/sqrt(10)).
sqrt(2)/30
Simplify -4*(sqrt(14)/sqrt(2) + 0 + sqrt(7)) + -4 - (sqrt(175) + sqrt(175) + 5 + sqrt(175)*1 + (
|
{
"pile_set_name": "DM Mathematics"
}
|
3*h**2.
141*h**2
Collect the terms in 14*g**2 - 36*g**2 + 11*g**2 + 9*g**2.
-2*g**2
Collect the terms in 3 - 3 - 35*f**2 + 41*f**2.
6*f**2
Collect the terms in -41421 + 41421 + 2*u**3.
2*u**3
Collect the terms in u**2 + 19 + 19 + 4 + 17.
u**2 + 59
Collect the terms in 4*d**2 - 18 - 16 + 5*d**2.
9*d**2 - 34
Collect the terms in -586*h**2 + 16*h**3 + 586*h**2.
16*h**3
Collect the terms in 7*j + 6*j + 8*j - 25*j.
-4*j
Collect the terms in 54*d + 69*d - 118*d.
5*d
Collect the terms in -9*v + 4*v + 9*v.
4*v
Collect the terms in 0*n + 2 + 0*n - 161*n**3 + 261*n**3.
100*n**3 + 2
Collect the terms in 6*x**3 + 27*x**3 + 7*x**3.
40*x**3
Collect the terms in -119*y**2 + 45*y**2 + 69*y**2.
-5*y**2
Collect the terms in -2*x + 2*x - 2*x**2 + 0*x - 41.
-2*x**2 - 41
Collect the terms in 212*o**3 - 467*o**3 + 180*o**3.
-75*o**3
Collect the terms in 0*b + 16*b - 2*b.
14*b
Collect the terms in -22 + 4*u**2 - 4*u**2 - u**3.
-u**3 - 22
Collect the terms in -4*s**2 + 28*s**2 - 2*s**2.
22*s**2
Collect the terms in -6599 + 7*s + 3*s + 6599.
10*s
Collect the terms in -2962*b + 2962*b - 9*b**2.
-9*b**2
Collect the terms in j**3 - 198*j + 198*j.
j**3
Collect the terms in -21 - 2*i - 22 - 1.
-2*i - 44
Collect the terms in 9*d + 6*d + 5*d**3 - 15*d.
5*d**3
Collect the terms in 248*f - 38*f - 957*f.
-747*f
Collect the terms in k + 100 - 100.
k
Collect the terms in -139*v - 1208*v**3 + 139*v.
-1208*v**3
Collect the terms in 10*o + 9*o - 25*o + 2*o.
-4*o
Collect the terms in 57*p**2 + 59*p**2 - 116*p**2 + 51*p**3.
51*p**3
Collect the terms in -61*p**2 - 117*p + 117*p.
-61*p**2
Collect the terms in 79038 - 79038 - 12*z.
-12*z
Collect the terms in -466 + 11*t - 16*t + 466.
-5*t
Collect the terms in 3*r + 23*r**2 - 3*r - 25*r**2.
-2*r**2
Collect the terms in 25*n - 8 + 5 + 3.
25*n
Collect the terms in -9*q**3 - 4*q**3 - 6*q**3.
-19*q**3
Collect the terms in 49*g**3 + 10*g**3 + 20*g**3.
79*g**3
Collect the terms in 8*a**2 - 6*a**2 - 6*a**2 + 4*a**2 + 2*a**2.
2*a**2
Collect the terms in -b**3 + 7*b**3 - 4*b**3 - 4*b**3.
-2*b**3
Collect the terms in -18*m - 23*m + 16*m.
-25*m
Collect the terms in c - c + 6*c**2 + 5*c**2 - 12*c**2.
-c**2
Collect the terms in -h**2 - 71*h - 42*h + 0*h**2.
-h**2 - 113*h
Collect the terms in 6*n + 35 - 35.
6*n
Collect the terms in -1262 - 3*b + 1262.
-3*b
Collect the terms in 8*b**3 - 63*b + 3*b**3 + 63*b - 14*b**3.
-3*b**3
Collect the terms in 25*a + 30*a + 0*a**2 + a**2 - 55*a.
a**2
Collect the terms in 10 + 0 - 10 - 69*b.
-69*b
Collect the terms in 10866*p**2 - 10870*p**2 + p - p.
-4*p**2
Collect the terms in 6160*j**2 - 3080*j**2 - 3081*j**2.
-j**2
Collect the terms in 22*n + 4*n - 68*n.
-42*n
Collect the terms in -22*g**3 + 9*g**3 + 7*g**3 - 32*g**3.
-38*g**3
Collect the terms in 203 - 400 + n**2 + 197.
n**2
Collect the terms in -8*y + 24*y - 859 + 859.
16*y
Collect the terms in 2 - 32*s - 4 + 0.
-32*s - 2
Collect the terms in 4*x + 11*x - 7*x.
8*x
Collect the terms in 5*q**2 - 8*q**2 - 11*q**2.
-14*q**2
Collect the terms in -25*n - 19*n + 67*n - 25*n.
-2*n
Collect the terms in -10*v + 10 - 10.
-10*v
Collect the terms in 4*s**2 - 3*s**2 + 7*s**2 + 6*s**2.
14*s**2
Collect the terms in -3 - 20*w + 3 - 24*w.
-44*w
Collect the terms in 8*s + 7*s - 5*s - 7*s**2.
-7*s**2 + 10*s
Collect the terms in 3 - 23032457*d**3 + 23032456*d**3 - 3.
-d**3
Collect the terms in 25*d - 6*d - 9*d.
10*d
Collect the terms in -131*t**2 + 0 + 0 + 120*t**2.
-11*t**2
Collect the terms in 34*t - 32*t - 20*t.
-18*t
Collect the terms in 3*k + 20*k + 2*k.
25*k
Collect the terms in -1309 - 7*z**2 - 1317 + 2626.
-7*z**2
Collect the terms in -2*s**3 - 215 - 207 + 422.
-2*s**3
Collect the terms in -6 + 161*n - 159*n - 2.
2*n - 8
Collect the terms in -1249*k + 654*k + 597*k.
2*k
Collect the terms in o**3 - o**3 - 31*o + 2*o**3.
2*o**3 - 31*o
Collect the terms in -4*v**2 + 9*v + 2*v**2 - 9*v.
-2*v**2
Collect the terms in 4*i - 48*i - 2*i - 16*i.
-62*i
Collect the terms in -4*h**3 - 118 + 61 + 57.
-4*h**3
Collect the terms in 6*v**3 - 502*v + 502*v.
6*v**3
Collect the terms in -10*z - 20*z - 2*z - 3*z.
-35*z
Collect the terms in -8*p + 4*p + 5*p - 3*p.
-2*p
Collect the terms in -3*x**2 - 2*x**2 + 2*x**2 + 9*x.
-3*x**2 + 9*x
Collect the terms in 3642*q - 50*q**3 + 13*q**3 - 3642*q.
-37*q**3
Collect the terms in -15*b + 15*b + b**3 + 27.
b**3 + 27
Collect the terms in -1421*n**2 + 718*n**2 + 702*n**2.
-n**2
Collect the terms in 24 - 31196*p - 24 + 31193*p.
-3*p
Collect the terms in -6*r**3 - 3 + 12 - 9.
-6*r**3
Collect the terms in 7*k - 2 - 13 + 15.
7*k
Collect the terms in 23 - 2*w**3 - 13 - 10.
-2*w**3
Collect the terms in -5*l + 13*l + 10*l.
18*l
Collect the terms in 0*f**2 + 37*f**3 - 42*f**3 + 0*f**2.
-5*f**3
Collect the terms in -4*q**2 + 12*q**2 - 11*q**2 + 7*q**2 + 12*q**2.
16*q**2
Collect the terms in -1769 + 1769 + 2*j**3.
2*j**3
Collect the terms in -v - 6*v - 7*v - v.
-15*v
Collect the terms in -93*h**2 + 16*h**2 - 62*h**2.
-139*h**2
Collect the terms in 14*d + d + 13*d - 7*d.
21*d
Collect the terms in 53 - 196 + 99 + 44 + m**3.
m**3
Collect the terms in -11*h + 86 - 86.
-11*h
Collect the terms in -847*f + 1687*f - 845*f.
-5*f
Collect the terms in 28*t**3 - 9*t**3 - 1 + 3*t**3.
22*t**3 - 1
Collect the terms in 2 + 6450*y**3 - 6462*y**3 - 2.
-12*y**3
Collect the terms in 6*n**2 - 4*n**2 + 5*n**2.
7*n**2
Collect the terms in -162*j - 154*j + 309*j.
-7*j
Collect the terms in -19*a**3 + 9*a**3 - 13*a**3 - 4*a**3.
-27*a**3
Collect the terms in 18*s + s + 16*s + 27*s.
62*s
Collect the terms in -54*o - 2 - 77*o + 2.
-131*o
Collect the terms in 25*f - 55*f + 33*f.
3*f
Collect the terms in -22*g**2 - 16*g**2 - 3*g**2.
-41*g**2
Collect the terms in 6*x**3 - 16*x**3 + 4*x - 4*x.
-10*x**3
Collect the terms in 16 - 16 - 9*h + 10*h.
h
Collect the terms in -14439 + 14439 + 7*w.
7*w
Collect the terms in -12*y**2 - 4*y**2 + 5 - 5.
-16*y**2
Collect the terms in h - 1400*h**3 + 1396*h**3 - h.
-4*h**3
Collect the terms in -31*w**2 - 23*w**2 - 18*w**2 + 75*w**2.
3*w**2
Collect the terms in 6*k - 48 + 48.
6*k
Collect the terms in -9*q - 90 + 175 - 85.
-9*q
Collect the terms in 26*a + 14*a - 42*a.
-2*a
Collect the terms in 0*d**2 + 0*d**2 - 3676*d**3.
-3676*d**3
Collect the terms in 3 - 162*o - 1 + 136*o - 2.
-26*o
Collect the terms in -55*j - 27*j - 2 + 7*j.
-75*j - 2
Collect the terms in 116*q**3 + 3*q - 3*q + 3 - 2.
116*q**3 + 1
Collect the terms in -6*n + 36 - 1 + 7*n.
n + 35
Collect the terms in 39*i + 53*i**3 - 39*i + 113*i**3.
166*i**3
Collect the terms in -14*c**2 + 18*c**2 - c**2.
3*c**2
Collect the terms in 7*k**2 - 19*k**2 + 8*k**2 + 7*k**2.
3*k**2
Collect the terms in 3*u**2 - 4*u**2 + 11*u**2.
10*u**2
Collect the terms in -3*n**3 - 64*n**2 + 1226*n**2 + n**3.
-2*n**3 + 1162*n**2
Collect the terms in 12*x - 26*x**2 + 17*x**2 - 12*x.
-9*x**2
Collect the terms in -4*x + 7 + 4 - 11.
-4*x
Collect the terms in 23*b**3 - 34*b**3 + 10*b**3.
-b**3
Collect the terms in -121*v**2 + 371*v**2 - 127*v**2 - 122*v**2.
v**2
Collect the terms in -3*k**2 + 406*k**3 - 2*k**2 + 5*k**2.
406*k**3
Collect the terms in -115 - r**3 - 489 + 0*r**3.
-r**3 - 604
Collect the terms in 0 - 108*y + 12*y + 4 - 2.
-96*y + 2
Collect the terms in 194 - 194 + a.
a
Collect the terms in -55 - h**3 + 2*h**3 - 264.
h**3 - 319
Collect the terms in 4 - 71*d**2 - 4 - 18*d**2.
-89*d**2
Collect the terms in 4*i - 47*i**2 - 4*i.
-47*i**2
Collect the terms in -2 - 5*z**2 + 1 + 14*z**2.
9*z**2 - 1
Collect the terms in 1454*m**3 + 11 - 11.
1454*m**3
Collect the terms in 69*l**2 + 61*l**2 - 125*l**2.
5*l**2
Collect the terms in -3*c + 85*c**3 + 2*c + c.
85*c**3
Collect the terms in -10*x + 14*x - 3*x**3 - 4*x.
-3*x**3
Collect the terms in -11*q**2 - 35*q + 35*q.
-11*q**2
Collect the terms in 5977 - 5977 + 22*q**3 + q**3.
23*q**3
Collect the terms in 13*f**2 - 37*f**2 + 18*f**2.
-6*f**2
Collect the terms in 52 - 52 + 21*d.
21*d
Collect the terms in 2293*i + 83 - 83 - 2293*i + 2*i**2.
2*i**2
Collect the terms in 3*o + 6*o**3 + o + 239*o**3 - 55*o**3.
190*o**3 + 4*o
Collect the terms in -13*s**2 - 5*s**2 - 3*s**2 + 7*s**2 - 11*s**2.
-25*s**2
Collect the terms in -1411*o**2 + 1381*o**2 + 0 + 0.
-30*o**2
Collect the terms in -14*y**2 - 15*y**2 + 53*y**2 - 22*y**2.
2*y**2
Collect the terms in t - 26*t**2 + 22 - 22.
-26*t**2 + t
Collect
|
{
"pile_set_name": "DM Mathematics"
}
|
328/(-168))?
-1/21
Evaluate -33 - -89 - 24 - (-2 - -19).
15
Evaluate (6/(-9) - (-5)/30)*(-1 + -27).
14
What is (-20 - (-99)/9)/(-22 - -21)?
9
Calculate ((-96)/168)/((-3)/(-7)) - 2/(-3).
-2/3
Calculate (-97257)/(-9535)*10*(-2)/(-12).
17
Evaluate 35/(-77)*-3*4/(-10).
-6/11
(9424/171)/8 + 1 + -8
-1/9
Calculate 6/(-15)*180/(-576) - (-62)/16.
4
Calculate ((-42)/(-27))/(22/(-99)).
-7
Calculate -28*(12/14)/(792/693).
-21
Calculate (-70)/50 - (-12)/5.
1
What is the value of (-591)/39 + ((-212)/(-364) - 36/84)?
-15
What is the value of ((-2)/8 + 0)*(-28912)/23491?
4/13
What is ((-238)/(-385) + 5/25)/(18/12)?
6/11
Calculate 78/169 - 9576/(-546).
18
What is ((-8827)/1552 + 3/16)*-4?
22
Evaluate 13/1092*12 + (-576)/(-378).
5/3
What is (2 - 1 - 2)*396/2772?
-1/7
Evaluate (456/171)/(((-588)/18)/7).
-4/7
Evaluate (-62)/10*(684 + -689).
31
What is (-44114)/(-1449) + (-4)/9*1?
30
-2*(-6)/(-99)*(4 + 31 + -32)
-4/11
Calculate 6/15*(-285)/57.
-2
What is ((-67)/(-469))/((-22)/7)?
-1/22
Calculate -8 + -8 + 11 - ((-189)/15)/3.
-4/5
What is 94/(-423) + (-7)/252?
-1/4
Evaluate (15/6 + 9/2*-1)/(-1).
2
Calculate (-137299)/11536 + 1 + 11 + (-2)/7.
-3/16
What is (-717)/478 + (2/(-8))/(4/24)?
-3
What is the value of 30/42 - ((-570)/(-105))/2?
-2
Evaluate 0/((-127 + 125)*(-2)/(-4)).
0
Evaluate 5 + (2178/(-77))/6.
2/7
What is the value of (39/(-15) - -3)*-15*3/36?
-1/2
Calculate (-50502)/(-1254) + (-3)/(-22)*(-16)/8.
40
Evaluate (19 - 7)*(4/12 - 15/(-36)).
9
What is the value of 60/66 + (-9 - (-1100)/121)?
1
(-5)/3 - (-13158)/(-1161)
-13
What is the value of ((-300)/(-165) + -2)/((-14)/11)?
1/7
4 + 13/(-5) - (-135)/(-27)
-18/5
Calculate 812/(-928)*(-2 - -1 - 7).
7
What is the value of (-108 - -88)/(1/(3/(-6)))?
10
What is (-230)/1449 + 12/(-42)?
-4/9
((-48)/14)/((-2595)/105 + 25)
-12
Evaluate 9 + (10395/108)/(-11).
1/4
What is ((-21)/(-42))/((-6)/(-96)) - (-151)/(-19)?
1/19
What is the value of 6/(-21)*1890/120?
-9/2
Evaluate 16/(-112)*(-12 - 9).
3
Evaluate (100/(-90))/((-364)/(-936)).
-20/7
Calculate -14 + 13 + -4 + 3.
-2
What is the value of (-49)/(-42) + -4 + (-284)/(-24)?
9
What is ((-2)/18)/((-239)/(-239))?
-1/9
((-4)/8 - 0)*(26 - 20)
-3
What is the value of (16 - (-4053)/(-252))/((-3)/4)?
1/9
Evaluate (-35)/(-21) - (1*-1)/((-2)/(-4)).
11/3
2511/372 - (-2)/8
7
Evaluate (-99)/((-15741)/(-2014)) - 8/(-3).
-10
What is the value of (2/(-24))/((-33)/198*6/(-4))?
-1/3
What is (-3)/(-9)*(39/78)/(1/(-6))?
-1
What is the value of (-120)/4 - (40 - 74)?
4
-1 + -10 - (-22 - (-3336)/312)
4/13
What is the value of -9 - (-189)/(21/3)?
18
What is the value of (-5 - 17 - -16) + 8/4?
-4
((-175)/315)/(5/6)*(-16)/(-12)
-8/9
What is the value of -9*(642/54 - 12)?
1
What is (-21 - 48051/(-2299))*-11?
12/11
What is (-63)/((15 - 22) + 4)?
21
(6/6)/(((-1)/21)/((-1)/3))
7
What is the value of (-2 - (-34)/16) + (-15264)/(-768) - 3?
17
What is the value of (2 + (-123)/54)*160/1000?
-2/45
What is the value of 77/33*360/672?
5/4
What is the value of (-11)/(-6)*(-2 + 9 - 9)?
-11/3
Calculate 27/30*(-330)/396.
-3/4
Calculate 10/24*-3 + (-4 - (-280)/(-32)).
-14
Calculate (22 - 13 - (-6 + 13))/((-4)/(-24)).
12
Evaluate 13 - ((-107)/(-642))/(2/168).
-1
Calculate 303/5656*(-8)/(-6).
1/14
What is the value of (468/(-8))/13*2 - 16?
-25
Calculate (-18)/(-8)*8 - 6.
12
Calculate ((-96)/240)/(4/(-137)) + -14.
-3/10
What is 7 + 56 + -18 + -84?
-39
What is the value of 902/(-369) - (-16)/36?
-2
What is the value of -107 - -92 - (-25 + -1)?
11
What is the value of (4 + 15*8/(-48))*2?
3
(2 - 168/64 - -1)*(-2)/3
-1/4
Calculate ((-27)/36)/(((-6)/72)/(184/207)).
8
What is 3/22 - 2061/(-12595)?
3/10
Calculate 104/(-8) - -28 - 30.
-15
What is (-9)/((-387)/(-344)*4/6)?
-12
Calculate -46 + -19 + 4769/76.
-9/4
Evaluate -2 + 5 + (-513)/(-209) + (-3 - 3).
-6/11
31 - 101/(105444/32472)
-3/29
Calculate 141 + -149 + 15 + -1.
6
Evaluate (-438)/16 - (60/(-32))/5.
-27
Calculate 8/(-22)*288/2592*18/4.
-2/11
What is (-24)/2268*-369 - 4?
-2/21
What is the value of (-3 - 60/(-24))/((-530)/(-76) - 7)?
19
What is the value of (-46)/8 + (-7098)/1352?
-11
What is -79 + 30189/435 + 2*3?
-18/5
What is 99/((-5940)/(-48)) - (1 - 1)?
4/5
What is (1 - (-12)/(-10))*1495/(-7475)?
1/25
Calculate (-1)/(8 - (24/(-16) - -9)).
-2
(96/(-64) + (-17)/6)/((-1)/(-3))
-13
Calculate (-138)/(-54) - (1 + 2).
-4/9
Calculate (-66)/572 + (-10549)/286.
-37
Calculate (-1 - -4)*(-70 + (-5592)/(-80)).
-3/10
Evaluate (-10)/((-21700)/1023) + 2/(-5).
1/14
(-4)/(-18)*(1/(-4))/(42/(-168))
2/9
2 + 138/1242*(-16)/6*7
-2/27
24 + (-1888)/80 - (2 + 42/5)
-10
((333/(-162))/(-37))/(((-143)/(-22))/(-13))
-1/9
((-10)/(-50)*-1)/((-12)/(-18))*4
-6/5
Calculate 820/45305*(-26)/(-4).
2/17
Calculate 11/(440/105)*(16 + 96/(-12)).
21
What is the value of 13394/1448 - 6/(-8)?
10
Evaluate ((-15)/12)/((-11)/44).
5
Evaluate ((-32)/280)/((-14)/175)*-7 + 13.
3
Evaluate (-2)/5*255/340.
-3/10
(-2 - 20/(-12))*165/44
-5/4
What is the value of ((4480/910)/64)/((-44)/(-26))?
1/22
What is the value of (-7 - 5) + 15 + 15?
18
Calculate (-13 - 0)*(6 + -38 + 31).
13
Calculate ((-3)/(-2) - 0)*(-21 + (-2247)/(-105)).
3/5
Calculate (13/(-10) + 2)*3144/917.
12/5
What is the value of (16 + -66 - -9 - -17) + 3?
-21
Evaluate -16 - (-33 - (-110)/5).
-5
What is the value of 0 + 5 + (-329)/(-112) - (1 + 7)?
-1/16
Evaluate ((13 - -1) + 10688/(-768))*32/(-10).
-4/15
What is the value of (7*6/3465)/((-66)/198)?
-2/55
Evaluate 1 + -8 - (1 + -11) - (12 + -6).
-3
Evaluate (133 + -103)*(-2)/6.
-10
Evaluate (-228)/14 + ((-12)/56)/((-42)/56).
-16
What is (4/(-30))/((-2)/(-18)) - (-1062)/708?
3/10
Evaluate -6*34/1020*-1.
1/5
Evaluate (-16)/(-12) + 5 + 133/(-21).
0
What is (-1592)/1990*(-3)/(-6)?
-2/5
What is (3/6 - 1)*192/(-880)*-11?
-6/5
(-12)/(-54) - 3*(-1 - (-104)/108)
1/3
What is ((-5)/((-800)/24))/(8/(-40))?
-3/4
Calculate 4/10*514/(-257).
-4/5
Evaluate 150/(-90)*(-9 + 48/(-40)).
17
Calculate (-219)/30 + 2/(120/18).
-7
-18 - ((-30)/7*(-280)/100)/6
-20
((4/6)/(38/(-513)))/1
-9
Evaluate (-9)/(36/28) - 150/(-22).
-2/11
((-132)/(-297) + (-82)/(-18))/(-1)*-1
5
Calculate ((-15)/450)/(-8 - 42/(-5)).
-1/12
What is (-4)/9 + 31500/(-1296) + 4/(-16)?
-25
What is the value of 4/(-12)*((-12)/28)/((-6)/42)?
-1
Calculate -26*((-176)/8)/44.
13
((-9)/(-18))/((-447)/150 - -3)
25
Evaluate (-270)/20 + 13 + -1 + (-1)/1.
-5/2
Evaluate (-22)/2288*-16 + 158/(-13).
-12
142/36 + 1 - (60 + (-76112)/1278)
9/2
Calculate 2/(162/(-12) + 13).
-4
Evaluate (-584)/(-511)*(-2)/(-8).
2/7
Evaluate ((-8)/(-8))/((-5)/(-35)) - -3.
10
What is ((3/(-18))/(1/(-9)))/((-54)/360)?
-10
What is (2*(-1)/22)/(-17*18/(-612))?
-2/11
What is the value of (5/290)/((-4)/16)?
-2/29
What is the value of (-24)/(-10)*(5 + (-5)/((-160)/(-168)))?
-3/5
What is (46/115)/(-6 + 27/5)?
-2/3
Evaluate 39/((-624)/(-32))*(-2)/(-12).
1/3
What is the value of (-47)/(143773/(-3762)) - 2/23?
8/7
Evaluate 2202/9909 + (-14)/(-72).
5/12
21/49*28/72*21
7/2
Evaluate (-7 - -8) + 47 + -12 + -20.
16
Calculate (-2)/(-34) + 187050/(-10965).
-17
What is 2*(-5 - (-10 - -1 - -8))?
-8
Evaluate (1 - 1)/((-8 - 0)/4).
0
What is the value of 1*-1 - 6/10*(56 - 57)?
-2/5
Calculate (-68)/16 + 36/(-72) + 9.
17/4
Calculate 15322/(-1141) + (-6)/(-14).
-13
Evaluate (-18 + 13)/(4/24 + (-5)/(-6)).
-5
Calculate (2/2 + 4*(-341)/1100)*-5.
6/5
Calculate ((-98)/147)/(4/(-114)).
19
What is the value of 1*(-15 + 1044/69)/(12/(-8))?
-2/23
((-16)/(-15) - 1)/(243/1458)
2/5
What is the value of 1090/218 - (-2 + 4 - 14)?
17
((9/(-15))/(36/120))/((-1)/8)
16
What is 9 - 2208/108 - -11?
-4/9
Calculate (-15)/(-10)*20/14.
15/7
1/6*(-2460)/(-2050)*(-130)/6
-13/3
Calculate ((-3)/39)/(0 - (-4)/8).
-2/13
(-30)/170*(-13 + -4)
3
Calculate (30/(-90))/(178/(-672) - 2/(-7)).
-16
What is (-15 + 55/5)*-4?
16
What is the value of (-45 - -39) + 3 + 2 + 1/(-4)?
-5/4
((-144)/390)/((-3224)/400 + 8) - 6
2/13
What is the value of (-1)/(342/64) - (-402)/1809?
2/57
Calculate (-2)/(-8)*-9*(-156)/1287.
3/11
What is the value of ((-2095)/18855)/((-57)/54 - -1)?
2
What is the value of (48/180)/(16/240)?
4
What is the value of 43 + (7308/(-216) - 12)?
-17/6
Calculate (-10)/35*(-28)/(-60).
-2/15
What is 0 + (-3 - -1 - (12 + -10))?
-4
What is the value of 52 - 75 - (-1 - 14)?
-8
Evaluate -18 + 6 + 5 + -11 + 11.
-7
Evaluate ((-8)/(-36))/(2/(-21)).
-7/3
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
, -42687, -53359?
-64031
What is next in 60200, 60201, 60196, 60185, 60168?
60145
What is the next term in -16417, -32846, -49277, -65710, -82145, -98582, -115021?
-131462
What is next in 40228, 40235, 40246, 40261, 40280, 40303, 40330?
40361
What is the next term in 22360, 89463, 201300, 357871, 559176, 805215?
1095988
What is next in 127, 227, 267, 217, 47, -273, -773?
-1483
What is next in 450, 3519, 11814, 27951, 54546, 94215?
149574
What comes next: -10925, -10915, -10903, -10889, -10873, -10855?
-10835
What is the next term in 3798, 7671, 11546, 15423?
19302
What is next in -11399, -11367, -11333, -11297, -11259, -11219?
-11177
What is the next term in 146, 268, 390?
512
What is the next term in -4011, -4125, -4239, -4353, -4467?
-4581
What is the next term in 4116, 4134, 4188, 4296, 4476, 4746, 5124?
5628
What is next in -4427, -8849, -13271, -17693, -22115?
-26537
What comes next: -187262, -749069, -1685418, -2996309, -4681742?
-6741717
What comes next: 720, 1481, 2280, 3123, 4016, 4965, 5976, 7055?
8208
What comes next: 523, 1384, 2245, 3106, 3967?
4828
What is the next term in 17321, 34637, 51955, 69275?
86597
What is next in 2089, 2117, 2145, 2173?
2201
What comes next: -82, 565, 1654, 3191, 5182, 7633?
10550
What is next in -1727, -1710, -1675, -1616, -1527, -1402?
-1235
What is next in -15378, -15341, -15304, -15267, -15230?
-15193
What comes next: 2744227, 5488450, 8232671, 10976890, 13721107, 16465322, 19209535?
21953746
What is the next term in -3355, -3361, -3367, -3373?
-3379
What is the next term in 583024, 1166060, 1749096, 2332132, 2915168?
3498204
What comes next: -454, -416, -398, -412, -470?
-584
What is the next term in 34, 48, 46, 22, -30, -116, -242?
-414
What comes next: 62355, 124699, 187047, 249399, 311755, 374115, 436479?
498847
What is next in -867, -1069, -1271, -1473, -1675?
-1877
What comes next: 834, 3538, 8050, 14364, 22474, 32374?
44058
What is next in 333, 933, 1533, 2133, 2733, 3333?
3933
What is next in 2771, 2690, 2557, 2378, 2159, 1906, 1625, 1322?
1003
What is next in -1426, -11239, -37866, -89713, -175186, -302691?
-480634
What is next in -1797, -3537, -5275, -7011, -8745, -10477?
-12207
What comes next: -258, -246, -234, -222, -210?
-198
What is next in -104791, -209583, -314375, -419167, -523959?
-628751
What is next in 18005, 18018, 18043, 18080?
18129
What comes next: -38, -253, -606, -1097, -1726, -2493?
-3398
What is the next term in -2025126, -2025127, -2025128, -2025129, -2025130?
-2025131
What is next in 8465, 16882, 25275, 33632, 41941, 50190, 58367?
66460
What is the next term in 47, 35, 15, -1, -1, 27?
95
What is the next term in 163, 158, 153, 148?
143
What is the next term in 2137, 2129, 2121, 2113, 2105?
2097
What is next in -7098, -14193, -21288?
-28383
What is the next term in -173, -769, -1761, -3149, -4933?
-7113
What comes next: 2276, 4433, 6364, 7955, 9092, 9661, 9548, 8639?
6820
What is the next term in -371971, -371947, -371885, -371767, -371575?
-371291
What is next in 1120, 4432, 9936, 17632, 27520?
39600
What comes next: 1720, 3369, 5016, 6661, 8304?
9945
What comes next: -159734, -319465, -479196, -638927?
-798658
What comes next: -76, -296, -918, -2152, -4208, -7296, -11626, -17408?
-24852
What is next in 298, 1243, 2818, 5023, 7858, 11323?
15418
What is next in -167, -323, -445, -503, -467, -307, 7, 505?
1217
What comes next: 138, 1780, 4508, 8316, 13198, 19148?
26160
What comes next: 196087, 196088, 196089, 196090, 196091, 196092?
196093
What comes next: -10733000, -10732998, -10732996, -10732994, -10732992, -10732990?
-10732988
What comes next: -1371, -1343, -1295, -1227, -1139, -1031?
-903
What comes next: -4727, -4675, -4587, -4463?
-4303
What comes next: -15878, -15877, -15864, -15833, -15778, -15693?
-15572
What is next in 43, 245, 443, 637, 827, 1013?
1195
What is the next term in 1153, 2677, 4203, 5731, 7261?
8793
What is the next term in -144643, -144624, -144605?
-144586
What is next in 3517, 3489, 3463, 3439, 3417, 3397, 3379?
3363
What is next in -4177, -16740, -37677, -66988, -104673?
-150732
What comes next: -192971, -192978, -192985, -192992, -192999?
-193006
What comes next: 10399, 41590, 93575, 166354, 259927, 374294, 509455?
665410
What comes next: -845, -1379, -1913, -2447, -2981, -3515?
-4049
What is next in -16696, -33387, -50076, -66763, -83448, -100131, -116812?
-133491
What is next in 517, 1958, 4359, 7720, 12041, 17322?
23563
What is the next term in -269, -457, -933, -1841, -3325, -5529, -8597, -12673?
-17901
What comes next: -10045, -20084, -30123, -40162?
-50201
What is the next term in 182, 405, 630, 857, 1086?
1317
What is next in 62279, 62267, 62255, 62243?
62231
What is next in -118, -220, -420, -742, -1210?
-1848
What is next in -436134, -436135, -436136, -436137?
-436138
What comes next: -3295449, -3295450, -3295451, -3295452?
-3295453
What comes next: -975, -7624, -25663, -60786, -118687, -205060?
-325599
What comes next: 28, 41, 14, -83, -280, -607?
-1094
What comes next: 1341, 5299, 11895, 21129, 33001, 47511, 64659?
84445
What comes next: 2237, 2195, 2071, 1823, 1409, 787, -85, -1249?
-2747
What is the next term in 758, 3090, 6976, 12416?
19410
What comes next: 428709, 428720, 428731, 428742, 428753?
428764
What is next in -75572, -75548, -75524?
-75500
What is next in 1347, 1358, 1377, 1398, 1415, 1422, 1413, 1382?
1323
What is the next term in -578663, -578669, -578687, -578723, -578783, -578873, -578999, -579167?
-579383
What is next in 66048, 66047, 66046, 66045, 66044, 66043?
66042
What comes next: -11, 41, 215, 571, 1169, 2069, 3331?
5015
What comes next: -1534, -1555, -1584, -1615, -1642, -1659?
-1660
What is next in -14368, -28708, -43048?
-57388
What comes next: 239157, 239159, 239163, 239169, 239177, 239187, 239199?
239213
What comes next: -911, -963, -1011, -1055, -1095, -1131, -1163?
-1191
What comes next: -3161, -6319, -9477?
-12635
What is next in -18612, -37198, -55784?
-74370
What is next in 146532, 293066, 439600, 586134, 732668, 879202?
1025736
What is the next term in 348, 1969, 4676, 8475, 13372?
19373
What is next in 13745, 13786, 13827, 13868, 13909?
13950
What is the next term in 157, 1309, 4435, 10519, 20545, 35497, 56359?
84115
What is next in -12452, -24896, -37340, -49784, -62228?
-74672
What is the next term in -1966, -4135, -6304, -8473?
-10642
What is the next term in -5185, -5175, -5165?
-5155
What is the next term in 57, -60, -259, -540?
-903
What is next in 569, 1152, 1735?
2318
What is next in -8654, -8695, -8736, -8777, -8818?
-8859
What is the next term in -29795, -29806, -29839, -29906, -30019, -30190, -30431, -30754?
-31171
What is the next term in 3510, 5486, 7462, 9438?
11414
What is next in 597016, 1194030, 1791044?
2388058
What is next in -495394, -495384, -495370, -495352, -495330, -495304?
-495274
What is the next term in -36902, -36902, -36900, -36896, -36890, -36882?
-36872
What is the next term in 6020, 12038, 18056, 24074?
30092
What comes next: 26928, 107730, 242402, 430944?
673356
What is next in 449, 3572, 12025, 28472, 55577, 96004, 152417?
227480
What is the next term in 1059629, 1059636, 1059647, 1059662, 1059681?
1059704
What comes next: 83569, 83570, 83571, 83572?
83573
What comes next: -603, -1811, -3623, -6039, -9059, -12683, -16911?
-21743
What is the next term in -103, -389, -871, -1555, -2447, -3553?
-4879
What comes next: -9499, -9483, -9467?
-9451
What is next in 1454, 1386, 1318, 1250?
1182
What comes next: -546, -567, -582, -585, -570, -531?
-462
What comes next: 652, 2574, 5772, 10246?
15996
What is next in -571, -464, -275, 2, 373, 844?
1421
What is next in 1468, 5874, 13224, 23524, 36780, 52998?
72184
What comes next: 414893, 829779, 1244665, 1659551?
2074437
What comes next: 344, 656, 934, 1178, 1388?
1564
What is next in 2606, 10383, 23344, 41489, 64818, 93331, 127028?
165909
What is next in -907, -1755, -2587, -3397, -4179, -4927?
-5635
What is next in -2137, -2015, -1893, -1771, -1649, -1527?
-1405
What is the next term in 42, 156, 336, 582, 894, 1272?
1716
What is the next term in 12220, 12226, 12242, 12274, 12328?
12410
What comes next: 382, 1071, 1760, 2449, 3138, 3827?
4516
What is next in 71403, 71401, 71399, 71397?
71395
What is the next term in 50, -2
|
{
"pile_set_name": "DM Mathematics"
}
|
(-2) + -3). What is the closest to -2 in 2, t, 1, -18/5?
-18/5
Let z = 0.16 - 0. Let g = -0.26 + z. Let r = -0.86 - 0.14. Which is the closest to r? (a) g (b) 1 (c) 0.2
a
Let a be (-2)/5 - 16/(-65). Let h = -64482/47 - -1372. What is the nearest to h in a, 5, -3?
a
Let q = 13/6 - 5/3. Suppose 9 = -5*f + 2*m - 3*m, -3*m - 16 = 4*f. What is the nearest to q in f, -0.2, -2/9?
-0.2
Let f = -163.3 + 163. Which is the nearest to -0.3? (a) f (b) -9 (c) 1/4
a
Suppose 2*w + 2 - 9 = -5*m, -1 = -w. Let h be 1 + m/(-44)*-7. Let o = 10/11 - h. What is the nearest to -1 in 0.2, 0, o?
o
Suppose -3*i + 4 = -5. Suppose -i*l = -4*l + 4. Let h = -2/27 - 7/27. What is the closest to h in 2/3, l, 0.3?
0.3
Let c = 31/4 - 13/2. Let i = 8.5 - 9. What is the nearest to 1 in c, 3/2, i?
c
Let g = 1.96 - -0.04. Let w = -1 + g. Suppose z - 4*z + 5*v - 7 = 0, v + 3 = 5*z. Which is the closest to w? (a) 2/5 (b) z (c) -7/4
b
Let z = 92 + -92. Let f be ((-4)/3)/(4/(-30)). Let r = f - 9. What is the nearest to r in z, 1/11, 0.1?
0.1
Let k = -244 - -242. Let o = 3 - 3.1. Which is the nearest to o? (a) 2/17 (b) -5 (c) k
a
Let o = -3926/5 - -784. Which is the closest to 0? (a) -7/5 (b) 1/4 (c) o
b
Let g = 10 + -7. Let r be 9/(-2) + g + 2. Which is the closest to -1/4? (a) r (b) 0 (c) -5
b
Let s be 4/6*3/11. Let v = -160.8 + 159.8. What is the closest to v in -0.2, -1, s?
-1
Let w = 0.1 + -3.1. Let v = w + 2. Let g = 8 + -7. What is the nearest to g in v, -1/4, -0.3?
-1/4
Suppose 10 = -5*c - 5*x - 5, -2*c - 3*x - 7 = 0. What is the nearest to -4/7 in -3/5, c, 2.2?
-3/5
Let g = -31 - -31.062. Let a = 0.262 - g. What is the nearest to 0 in -2/7, 7, a?
a
Let g = 2/2519 - 2527/10076. What is the closest to 3 in g, 2, -0.1?
2
Let f = -43 + 128/3. Let j = -0.06 + -0.14. Let t = j + 0. What is the closest to -0.1 in 0.3, t, f?
t
Let n be 26/(-36) - (-118)/531. What is the closest to n in -3, 8, -2/3?
-2/3
Let d be 1 - ((28 - 2) + -3). Let t = -27 - d. Let n = 1.5 + -0.5. Which is the nearest to n? (a) 4 (b) t (c) 1
c
Let v = -13/168 + -5/24. Let d = -3.4 - -5. Let y = d + -2. Which is the nearest to v? (a) 4 (b) y (c) 2
b
Let f = 2.32 - 0.02. Let g = -2.5 + f. What is the nearest to g in 5, 2, -12?
2
Let d = 2 + -1.9. Let z = 4.421 + -0.021. Let u = z + -0.4. Which is the nearest to d? (a) u (b) 5 (c) 2
c
Let m = -113 - -118. Which is the closest to -2/5? (a) 29/5 (b) -1 (c) m
b
Let i = -6 - -8. Let p = -594 + 598. Which is the closest to -2? (a) p (b) i (c) 3
b
Let s(u) = -u**2 - 15*u - 29. Let m be s(-4). Let l be (3 - (-662)/(-210)) + (-2)/m. Which is the closest to l? (a) -1/2 (b) -3 (c) -1/5
c
Suppose -14*q - 175 = -7*q. Which is the closest to -1? (a) 0 (b) q (c) 1
a
Let l = -551/7 - -79. Which is the nearest to 1? (a) l (b) 3 (c) -7
a
Let n = 510 + -506. What is the nearest to -1/14 in 5, 0.3, n?
0.3
Let d = 60 + -96. Let z = d + 38. Which is the closest to z? (a) 0.7 (b) -1 (c) 2
c
Let l = 31 + -55. Let g = -98 + 119. Let c = l + g. What is the nearest to c in -5/3, 3, -2?
-2
Let y(x) = x**3 - 7*x**2 - 2*x + 10. Let q be y(7). Let p = -4660 - -4664. Which is the closest to -3? (a) q (b) 5 (c) p
a
Suppose 5 + 0 = 5*o, -5*s + 5 = 5*o. What is the nearest to -1 in s, -8, 1/2?
s
Let d = -54.46 + 55. Let g = d + -0.18. Let i = g + 0.14. What is the nearest to 0.1 in 0.1, -3, i?
0.1
Let g = 527 + -525. What is the nearest to g in -1/7, -0.5, 2/17, 2/5?
2/5
Suppose -2*q + 14 - 8 = 0, -2*q = 4*n - 14. Let x = -12 - -17. Which is the closest to 1/3? (a) 4 (b) x (c) n
c
Let l = 1.052 + -1.752. What is the closest to 1 in 0.5, 2, 2/15, l?
0.5
Let y = 35 - 11. Let x = y - 73/3. Which is the nearest to x? (a) 3 (b) 0.2 (c) 0.05
c
Let s = -0.05 - -0.45. Let x = 3.62 - -1.38. What is the closest to 0 in s, x, -3/4?
s
Let x = -1350 - -1349.8. Let i be ((-4)/2)/(-1 + -1). Let v = 4 + -9. What is the nearest to x in i, -0.2, v?
-0.2
Let v = 64.4 - 64. Let g be 10*(-3 + 1*(-20)/(-8)). Which is the closest to 3/4? (a) v (b) g (c) 3/4
c
Let q = 12049/16 + -753. Which is the closest to q? (a) -0.03 (b) -0.4 (c) 0.5
a
Let p be 2/13 + (-90)/78. What is the closest to -2/11 in p, 3/7, -3/10?
-3/10
Let i = -172 + 171.29. Let l = i - -0.41. Which is the closest to 1? (a) -0.1 (b) l (c) -1/6
a
Let s be 16/55*2 + 36/(-198). What is the closest to -0.06 in -1, 2, s?
s
Let j be 1/((-18)/16) + 22/99. Suppose b = -4 + 1. What is the closest to b in 1, -4, j?
-4
Let f = -61011 - -426211/7. Let u = -124 - f. Which is the nearest to 2? (a) -0.2 (b) 1 (c) u
b
Let t be (-30)/80*4/(-6). Let q(f) = f - 13. Let v be q(10). Which is the nearest to v? (a) t (b) 3 (c) -2
c
Let n = -16879.1 - -16879. Suppose -2*t - 2 = -0. Let y be 1/((-1)/3)*t. Which is the nearest to n? (a) 3/2 (b) -2/5 (c) y
b
Let w = 197 - 1377/7. Let u = 1.89 + -1.99. Which is the closest to u? (a) w (b) 1/10 (c) -0.2
c
Let u be 24/40 + (-114)/15. What is the closest to u in 1/6, 1/4, 5/3?
1/6
Let v be (72/420)/(5/(50/(-4))). Let z(y) = y - 3. Let n be z(8). Let s = -5 + n. Which is the nearest to -0.4? (a) s (b) v (c) 0.4
b
Let j = -766 - -767. Which is the nearest to j? (a) 2/71 (b) 2 (c) -1
a
Let y(u) = u - 4*u**3 + 4*u**3 - 2*u**3. Let d be y(1). What is the closest to d in 0.07, 2, 1?
0.07
Let h be 2/(0 - (3 + 0)). Let i be -368 + 6 - (-6)/(-3). Let g be 195/i + 2/7. Which is the nearest to h? (a) 2/11 (b) g (c) 0.4
b
Let o = 129 - 132. Let u = -4/13 + -1/39. Which is the nearest to -1? (a) o (b) 0 (c) u
c
Let u = 0.0025 + 5.9975. What is the closest to -3 in -0.1, -0.3, u?
-0.3
Suppose 3 = b - 1. Let a be (-6)/b*16/(-12) + -3. Let u = 1 + -1. What is the nearest to a in u, 0.3, 1/3?
u
Let g = -2129 - -14909/7. Let j = 1.5 - -0.5. What is the nearest to -1/4 in -2, g, j?
g
Let b = 2.7 - 2.6. Let x be 96/(-54) - 2*-1. What is the nearest to b in 1/7, x, 1?
1/7
Let u = -240 + 245. Which is the nearest to -2? (a) 0.04 (b) u (c) -2
c
Let y = 0.11 + -4.11. Let f = 2 + -2.1. Suppose 790 = -5*c - 130*c - 20. What is the nearest to f in c, 0.5, y?
0.5
Suppose 8*n - 4*n = 3*n. What is the nearest to n in 2, -26/7, -4, -5?
2
Let f be 63/12 + (-27)/(-36). Which is the closest to 2? (a) -3 (b) -4/5 (c) f (d) 18
b
Let s = -0.1 - -0.5. Let p = 361/42 + -49/6. What is the nearest to -4 in p, 0.2, s?
0.2
Let x = -2.8 - 0.2. Let f be -10 + ((-2912)/36)/(-8). Which is the closest to f? (a) 1 (b) x (c) 4
a
Let c be ((-3)/(-13) + 0)*-1. What is the closest to 1 in c, -1, -0.9?
c
Let h = 2.5 - 3. Let w = -0.36 + 26.36. Let m = w - 25. What is the nearest to m in h, 1, 3?
1
Let v be (-2124)/6237 - 2/(-11). Let r = 8/21 + v. Let u = 0.1 - 0.1. What is the nearest to -0.1 in r, u, -4?
u
Let x = 0.133 - 0.103. Which is the nearest to 1/2? (a) x (b) 0.4 (c) 1/4
b
Let y = 40.3 + -37.3. Which is the nearest to 1/3? (a) -1/2 (b) 5 (c) y (d) -4
a
Let c(f) = -40*f - 1361. Let u be c(-34). Let o = -2 - -2.1. What is the nearest to 0.6 in 1, u, o?
1
Let b = 20.6 + -20.8. Let y be 2/6*(-18)/15. What is the closest to 3/5 in y, 2/15, b?
2/15
Let j = 1.244 - 6.244. Which is the closest to -0.115? (a) -2 (b) j (c) -4
a
Let s = -3286.9 + 3287. Let f = 1.5 + 0.5. Which is the closest to -4? (a) f (b) s (c) 2/3
b
Suppose 3*o + 11 = -92*r + 91*r, -5*r - 15 = 5*o. What is the nearest to 5/3 in o, -0.04, 0.2?
0.2
Let s = 30 - 40. Let t(z) = z - 13. Let q be t(7). Let b be (-3)/(-30) - q/s. What is the nearest to -2/3 in b, 0.2, -5?
b
Let w = -587 + 2933/5. What is the closest to w in 3.3, -1.5, 4/3?
-1.5
Let w = 15950/9 - 1772. Which is the closest to 1? (a) w (b) 1 (c) 2/55 (d) -0.3
b
Let d = 34 - 73. Let u = d + 35. Which is the closest to 3? (a) -1/5 (b) -3 (c) u
a
Let r = 1.755 + 3.245. Which is the closest to -7? (a) -2 (b) 9 (c) -5 (d) r
c
Suppose 14 = -4*c + 2. Let m = -1 + -17. Let u = m + 17.5. What is the nearest to c in 4, -3, u?
-3
Let t = -177 - -296. Let u = t + -125. Which is the closest to 2? (a) u (b) -0.1 (c) -4
b
Suppose 0 = -10*y + 8*y + 4. Let z be (-3*1/y)/(-6). Which is the nearest to z? (a) -4 (b) 5 (c) 1/3
c
Let x = 10.6 + -11. Suppose 296*l = 299*l. Which is the nearest to l? (a) -1/4 (b) 3 (c) x
a
Let v = -4.8876 + -0.1124. Which
|
{
"pile_set_name": "DM Mathematics"
}
|
ve -i = -u*i + 5 for i.
-5
Let p be (2/9)/((-10)/15)*-39. Suppose p*j - 14 = 6*j. Solve -4*s = -j*s + 4 for s.
-2
Let z = -18 - -22. Suppose 0*n - 11 = -4*y + n, -3*y - z*n = -32. Suppose -3*p = -p - y. Solve 3 = -x - p*x for x.
-1
Suppose 4*m = -0*m + 8. Suppose m = 19*w - 18*w. Solve p + 0 = -w for p.
-2
Suppose -5*z - 5*a + 20 = -10*z, 5*z = -2*a + 8. Solve z = 5*j - 1 + 21 for j.
-4
Let a be 2/12 + (-29)/(-6). Suppose -2*w - 3*q = 4 + a, -2*q = -3*w + 6. Suppose -g = -0*g + 2*t - 2, 4*g + 5*t - 8 = 0. Solve w = g*v + v - 9 for v.
3
Let m(i) = 6*i**2 + 3*i - 3. Let c = -5 - -6. Let z be m(c). Solve 5*h = -26 + z for h.
-4
Suppose 0 = 5*x - 4*y - 46, -3*x + 2*x = 2*y + 2. Solve 8*t - x*t = 6 for t.
3
Let u = 439 - 435. Solve 0 = 6*s - u*s + 8 for s.
-4
Let j be 4/1 + 78/39. Solve -10 = 4*t + j for t.
-4
Suppose 0 = 4*w - 12, -5*n - 3*w + 8 = -26. Solve -4 = -n*f + f for f.
1
Let p be 6/((-4)/(3 - 5)). Suppose -m = 2*m - 9. Let x be -2*m/2*-1. Solve p*q - 9 = x for q.
4
Let i be ((-20)/16)/(-2 + (-156)/(-80)). Solve 0 = -30*k + i*k + 10 for k.
2
Let h be (-30)/(-9) + (-1)/3. Let j be 1/h - 88/(-33). Suppose -1 = b - j. Solve o = b*o for o.
0
Let d be (-7)/1*(-2 - -1). Solve -d*m = -m - 24 for m.
4
Suppose 5*j - 78 = -z, -j + z = 4*j - 82. Suppose -22*y = -j*y - 24. Solve -v - 20 = y*v for v.
-4
Let w(d) = -d**3 + d**2 - d. Let x(o) = 4*o**3 - 6*o**2 - 4. Let y(n) = -3*w(n) - x(n). Let h be y(4). Solve h = 5*k - 3*k + 2 for k.
-1
Suppose 0 = -2*y - 2*y - 3*m + 3, 3*y + 4 = 4*m. Solve y = -2*c + 22 - 16 for c.
3
Let v(q) = -q + 26. Let f be v(23). Let b(d) = -d**3 + 2*d**2 + 4*d. Let a be b(f). Solve 6 = -a*p - 0 for p.
-2
Suppose -3*l + 70 = 4*s - 54, -155 = -5*s - l. Suppose 0*j + 13 = 2*f - 3*j, -j = -4*f + s. Let y = -6 + f. Solve -y*g + 4 = -2 for g.
3
Suppose v = 3*l + l - 449, -4*l + 458 = 2*v. Suppose 0 = 6*s - 29 + l. Let t(g) = g**2 + 13*g - 9. Let m be t(s). Solve -m*h + 4 = -1 for h.
1
Suppose 87 - 87 = -62*z. Solve z = -15*n + 20 + 10 for n.
2
Let x(i) = -10*i - 2. Let m be x(-2). Let d = m + -6. Let r = d - 4. Solve -17 = -5*p + r for p.
5
Let d = -223 - -237. Solve -3*a - 1 = d for a.
-5
Let j(d) = -6*d**2 + 108*d - 72. Let u be j(17). Solve -51*p - u = -45*p for p.
-5
Suppose 3*y + 3*c - 27 = -0*y, -c + 27 = 4*y. Let a(w) be the first derivative of w**4/4 - 2*w**3 + 3*w**2/2 + 2*w - 1. Let k be a(y). Solve s + k = -3*s for s.
-5
Let d(b) = b**2 + 8*b + 7. Let q(i) = i**3 - 4*i**2 - 2*i + 4. Let g be q(2). Let r be d(g). Solve -32 = -5*u - r for u.
5
Let p(t) = -5*t. Let w be p(-1). Suppose -w*v + 4*v = -2. Let c(x) = -11*x + 58. Let z be c(5). Solve -o = -v*o + z for o.
3
Suppose 0 = -g + 3, u - g - 1 = g. Suppose 160 = y + u*y. Solve -5*l = -0*l - y for l.
4
Let s(b) = b**2 + 5*b + 3. Let u be s(-5). Suppose 0 = -2*o - 1 + 9. Suppose 0 = 5*a + k - 89, 56 = 8*a - 4*a - 3*k. Solve -o*x - a = u for x.
-5
Let k = 410 + -366. Solve 9*j + k = 20*j for j.
4
Let b(k) = -6*k + 15. Let p be b(2). Let r = -2 + 11. Solve 0 = -3*l - p - r for l.
-4
Suppose -5*z + 15 = 5*d, 0 = 2*z - 3*z - 4. Let n(w) = -w**2 - 27*w - 128. Let b be n(-20). Let a be b/(-21) + 144/d. Solve 7*y - 3*y = -a for y.
-5
Let u(m) be the third derivative of -5*m**4/24 + 37*m**3/6 - 27*m**2. Let d be u(7). Solve d*a - 14 = -4 for a.
5
Let a(j) = 11*j - 33. Let c be a(3). Suppose c = -2*g + 4, 3*i = -2*g + 5*g - 6. Solve -k - 3*k + 4 = i for k.
1
Let h(f) = -19*f - 427. Let n be h(-23). Solve n = -12*k + 22 for k.
1
Let p = -3 - 25. Let c be (-80)/p + (-1)/(-7). Let z be -4 - -1 - (3 - 6). Solve -c*u - 2*u = z for u.
0
Let l be ((-2)/2)/(2/(-58)). Let f = 39 - l. Solve 0*t + f = -5*t for t.
-2
Suppose -g + 48 = -2*h + 30, -5*g = h - 68. Solve 1 = 3*x - g for x.
5
Suppose -m - l = -4*m + 76, 5*m - 4*l = 115. Let r be m/(-18)*(-8)/6. Suppose 0 = r*p + 4*f, 2*p = -2*p - 5*f. Solve p = a + 1 + 4 for a.
-5
Let v = 23 - 18. Suppose 8*c - 156 = v*c. Let a = -36 + c. Solve 3*j + a = -j for j.
-4
Suppose 3*g - 2*i - 4 = 6, 3*i + 10 = 2*g. Suppose -2*n = g*j - j - 1, 3*n = -2*j - 1. Solve 5*d = n*d for d.
0
Suppose 1075 - 361 = -6*x. Let h = -117 - x. Solve 0*q - h*q + 4 = 0 for q.
2
Let v = 69 - 60. Solve 10*i - 7*i = v for i.
3
Let c(x) be the first derivative of -x**3/3 - 15*x**2/2 - 24*x - 27. Let s be c(-13). Solve s*d + 6 = -0 for d.
-3
Let l(g) = -g**2 - 8*g - 7. Let x be l(-3). Let c = x - -19. Let v = c + -24. Solve -2*z = -v*z for z.
0
Let x = 58 + -49. Solve x = -20*d - 11 for d.
-1
Let j(n) = 6*n**2 - n + 13. Let f(d) = -11*d**2 + 3*d - 25. Let p(l) = -4*f(l) - 7*j(l). Let y be p(2). Solve -4*w + 9 + y = 0 for w.
4
Suppose 148*w = 151*w. Solve -q + w*q = -5 for q.
5
Let f(h) = -h**3 + 9*h**2 - 7*h - 4. Let t(q) be the first derivative of -3*q**2/2 - q + 3. Let j be t(-3). Let m be f(j). Solve m*v = -0*v - 8 for v.
-2
Let p(b) = -4*b - 52. Let r be p(-33). Solve 98 = -6*l + r for l.
-3
Let l(f) = -f**3 + 2*f**2 + 8*f - 12. Let t be l(-3). Solve -12 = -w - t for w.
3
Let j be 12/48 + 19/4. Suppose 0*x + 21 = 4*x - 3*f, j*f - 35 = -5*x. Solve -4*m = -2*m + x for m.
-3
Let m(t) = t**3 - 18*t + 14. Let w be m(4). Solve -19 = -13*f - w for f.
1
Let n = -55 - -43. Let y(m) = 2*m**2 + 23*m - 10. Let g be y(n). Solve -6*z + g*z = -12 for z.
3
Suppose -4*h - 5*s = -64, -3*h - 5*s - 4 = -57. Solve -13 + h = -2*j for j.
1
Let b(m) = -m**3 + 3*m**2 + 1. Let r be b(3). Let w be r/(-3)*(6 + -8)*6. Solve w*t - 3 = 1 for t.
1
Let i be (2/(-10)*0)/2. Suppose i = 16*f - 17*f. Solve o = -1 - f for o.
-1
Suppose -n = 6*n - 616. Let c = 90 - n. Solve 0*a + c*a + 6 = 0 for a.
-3
Let q(c) = 3*c - 5. Let p(l) = 4*l - 9. Let g be p(3). Let y be q(g). Let a be 1*y*(-15)/(-20). Solve n = -a*n for n.
0
Suppose -5*p = -0*d - 3*d + 7, 0 = 3*d + 3*p - 15. Suppose -2*t = 3*t - 15. Let r(y) = 3*y**2 + 2*y + 1. Let l be r(-1). Solve 0 = l*g - t*g + d for g.
4
Let b be 1*-2 - (0 + 1). Let j be ((-1)/3)/(b/9). Let n(y) = 3*y**2 - 70*y - 70. Let u be n(-1). Solve u*v + j = -2 for v.
-1
Let d(x) = -x**3 - 3*x**2 + 5*x + 5. Suppose 3*c - 3*z - 36 = 0, 0*z + 8 = -4*z. Let t be 5/(c/(-12)) - -2. Let r be d(t). Solve 2 = 3*l - r for l.
1
Suppose 21 + 59 = 5*z + 2*q, -2*z = 4*q - 16. Solve 0 = 16*b - 22*b + z for b.
3
Let g(t) = -12*t + 1. Let b be g(-2). Let w(s) = s**3 - 24*s**2 - 26*s + 25. Let l be w(b). Solve l = -2*a - 13 + 7 for a.
-3
Let o(l) = -l**2 + 3*l - 2. Let g be o(2). Suppose 3*x - 5*x - b - 5 = g, 2 = -x - b. Let a(d) = -2*d - 6. Let c be a(x). Solve -2*i + 10 + 0 = c for i.
5
Suppose 10 = 32*v - 31*v. Suppose -v*x + 39 = -61. Solve -x = 3*m + 5 for m.
-5
Let x = -17 + -16. Let u be (-16)/56 - x/(-7). Let z be 1 + -1 + (u - -7). Solve -z*q = -4*q - 4 for q.
-2
Let b(a) = -2*a**2 + 18*a - 35. Let p be b(4). Solve p*n = n for n.
0
Let l(h) = 2*h**2 + 2. Let p be l(-4). Let w = 40 - p. Suppose 5*a = 19 - 4. Solve -w = -a*i - 0 for i.
2
Suppose 0 = s + 3, -2*q = -q + s. Suppose 2*h = -q*h + 15. Solve -2*x = -h*x - 1 for x.
-1
Suppose c - 2*r - 10 = 0, 5*c = r + 42 - 10. Let j = 2 + 0. Solve -w = j*w + c for w.
-2
Let t(v) be the second derivative of -v**3/6 + 7*v**2/2 - 4*v. Let x be t(4). Solve x*k - 4 = 4*k for k.
-4
Let w be (-4 - 0)*((-25)/(-2))/(-5). Let u be (-10)/(-4)*(-5 + w - 3). Solve -u*o = -5 - 0 for o.
1
Suppose -4*w - 9 + 149 = 0. Suppose 2*u - w + 31 = 0. Solve b + u = 1 for b.
-1
Suppose 3*n - 10 = 3*d - 40, 5*n = 10. Let o(a) = a**3 - 6*a**2 + 4*a + 8. Let x be o(5). Solve 0 = -0*j - x*j + d for j.
4
Let k(r) be the third derivative of -r**5/60 + r**4/8 + 5*r**3 + 4*r**2. Let x be k(7). Solve -x*b = 3*b - 20 for b.
4
Let i(c) = 5*c**2 - 1. Let w be i(-1). Let l(o) = o - 2. Let u be l(w). Suppose -j - u = -5. Solve 2*z - 1 = -j for z.
-1
Let y be (-5 - -10) + (-4)/2. Suppose 0 = y*j + 4*p - 65, 2*p = j - 6 + 1. Solve -j = -5*n - 0 for n.
3
Let m(f) = -f**2 - 15*f - 17. Let n be m(-14). Let p be 2 + (3/n - -3). Solve 3 = -p*k + k for k.
-1
Let v(b) = -b**2 - 8*b + 9. Let q(i) = -2*i**2 - 17*i + 19. Let z(g) = -2*q(g) + 5*v(g). Let s be z(-7). Suppose -3*c + 24 = -s. Solve 0 = -3*n + n - c for n.
-4
Let t(c) = 4*c. Suppose 2*b - 2 + 5 = n, 3*n = -5*b + 20. Let q be t(b). Solve 0 = q*o - o - 15 for o.
5
Suppose 2*m + 0 = -22. Let v = m + 14. Suppose -4*b = v*g - 43, g + 33 = 3*b +
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the second smallest value in q, v, 2/9?
v
Let m = -570 + 570.5. What is the second smallest value in m, -3, 0.1, -39?
-3
Suppose -14 = 17*z - 3*z. Which is the third smallest value? (a) 21/4 (b) z (c) 0.2
a
Let g = 25 - 16. Let k = 10.7 - 14.7. Which is the third biggest value? (a) g (b) -3 (c) 2/3 (d) k
b
Let d = 0.2598 + 0.1402. What is the fourth biggest value in d, -3/4, -10, 5?
-10
Let v = -1/160 - 3/32. Let z = 0.7 - 3.7. What is the smallest value in v, -2, 5, z?
z
Let p = -1.98 - -2. Let r = 87 + -782/9. What is the smallest value in r, -3, p, -5?
-5
Let f = -1.78 + -5.22. What is the second biggest value in -1/4, f, 1?
-1/4
Let g = 163 - 813/5. Which is the biggest value? (a) g (b) -2/19 (c) -1
a
Let k = -137 + 102. What is the third smallest value in 3/5, -3/7, k?
3/5
Let u be (-5 + 2)/3 - -4. Suppose -x - u*x = 0. Which is the biggest value? (a) -4 (b) -5 (c) x
c
Suppose 4*b + 2*n - 4 - 10 = 0, 2*b = 5*n + 1. Let u = b + 2. Let i = 20 - 16. What is the biggest value in u, i, -4?
u
Let c(w) = -w**3 - 4*w**2 + 2*w + 6. Let f be c(-4). Let u = f + 0. Let s be u/(-9) + 258/54. What is the third biggest value in 0.1, s, -6?
-6
Let g = 0.17 + 0.83. Let v = 3 + g. Suppose 0 = r - 5 - 7. What is the third smallest value in v, 0.1, r?
r
Let s(w) = -2*w**3 + 2*w**2 + w + 2. Let m be s(0). What is the second biggest value in 3/2, -1, m, 24?
m
Let m = 329 - 329.1. What is the smallest value in 3/2, -2, m?
-2
Let w = -83.3 - -83.32. What is the biggest value in -1, 4/3, w?
4/3
Let n = -333.6 - -334. What is the second smallest value in 4, -3/2, -24, n?
-3/2
Let q = 5 + -5.3. Let h = 17404/11 + -1582. Which is the second biggest value? (a) h (b) 3 (c) -3 (d) q
a
Let h(l) = -l**3 + 9*l**2 - 10*l + 17. Let t be h(8). Suppose 5*s + g - t = 9, -5*g = s + 22. Which is the second smallest value? (a) s (b) -4/7 (c) -0.2
c
Let s = -54 + 59. Which is the smallest value? (a) 0.4 (b) 4 (c) 2/47 (d) s
c
Let x = -27.4 + -82.6. Let m = x - -106. Which is the third smallest value? (a) 4 (b) -3/4 (c) m
a
Let n be 4 + (98/(-56) - (-1 + 3)). What is the third smallest value in n, -0.4, -1/6, -10?
-1/6
Let i be (-9)/(-57)*(-1)/(-3). Let t = -147526/9 - -16392. Which is the second biggest value? (a) t (b) -4/7 (c) i
c
Let j = -205 - -201. Which is the third smallest value? (a) j (b) -20/9 (c) -0.4 (d) -2/7
c
Let r = -87/5 - -18. Which is the third smallest value? (a) 1/5 (b) 2 (c) r (d) -0.1
c
Let k(x) = x**2 + 3*x - 19. Let u be k(-7). Suppose -2*t + t - u = 0. Let m be ((-6)/t)/((-4)/18). Which is the second biggest value? (a) m (b) -4 (c) 5
a
Let h = 24 + -71/3. Let v = -5/9 + h. What is the second biggest value in -3, v, -0.4?
-0.4
Let p = 1/14 + -5/21. Let j be 3 + 7/(-2) - -1. Which is the second smallest value? (a) p (b) -1/5 (c) -3 (d) j
b
Suppose 0 = -u + 3*r - 19, 22 = -5*u + r - 3. Which is the second smallest value? (a) 1/2 (b) -12 (c) u (d) 2/21
c
Let u = 0.71 - 16.71. Which is the fourth biggest value? (a) -0.1 (b) -5 (c) u (d) 0.5
c
Let s be ((-36)/(-16))/((-84)/224). What is the third smallest value in 2/5, -17, s?
2/5
Let k = -0.05 - -0.05. Let g = 155 + -155.42. What is the second smallest value in k, 5, g?
k
Let m(k) = 6*k - 7 + 1 - 3*k**2 - 3*k + 4. Let h be m(1). Let i = -0.4 - -0.3. What is the third smallest value in -0.4, h, i?
i
Let n = -247.7 + 248. Let i = 3 - 0. What is the biggest value in -1, n, -0.2, i?
i
Suppose -3*j + 180 = 4*g, 0*j + 5*j = -5*g + 300. Let x = j + -178/3. What is the second smallest value in x, 5, 3?
3
Suppose 2*w - 5*k = -10, 9*w - 10*w - 3 = -2*k. Which is the biggest value? (a) w (b) -12 (c) -20
a
Let b = 1.47 + -9.47. Let g = 0.39 + -5.39. What is the biggest value in -2, 0.2, g, b?
0.2
Suppose 0 = 3*g + 261 - 249. Which is the smallest value? (a) -1/41 (b) -1 (c) g
c
Let j(q) = q**3 + 4*q**2 - q - 4. Let l be j(-4). Suppose -5*o + 11 - 1 = l. Let b = -3.95 - 0.05. What is the biggest value in o, b, -1/5?
o
Let f = -0.3 + 0.8. Let u = f + -1. Let g = -21/1913 - 1829/7652. Which is the second biggest value? (a) -4/3 (b) g (c) u
c
Let b = 4.07 + -0.07. Let z = 536 + -541. What is the smallest value in b, z, 1/6?
z
Let j = 22 + -14. Suppose -2 = -t - i - 4, 3*i = -2*t - j. Let m = -66.6 - -67. What is the third smallest value in m, t, -0.2?
t
Let y be ((-35)/(-14) + -7)/6. Which is the second smallest value? (a) -4 (b) y (c) 1/3 (d) 1/5
b
Let r = 159.1 - 152.01. Let m = r + -0.09. Let q = -7.1 + m. Which is the third smallest value? (a) 3 (b) q (c) 0.06
a
Let t = 357 + -357.3. Which is the third biggest value? (a) -2 (b) 5 (c) t
a
Let t = -14.985 + -0.015. Let k = -8.5 - 6.1. Let y = t - k. Which is the second smallest value? (a) y (b) -1 (c) -1/5
a
Let g = -18 - 18. What is the biggest value in 0.2, g, 0.8?
0.8
Suppose 0*v - 4 = -3*v + 5*p, v + 3*p = -8. Which is the third smallest value? (a) 5 (b) v (c) -1/4 (d) 1
d
Let p = 171.5 - 238. Let t = p + 67. Which is the biggest value? (a) 2 (b) t (c) -0.2
a
Suppose -3*a = -0 + 3. Let f = 8782/5 - 1757. What is the smallest value in f, a, 1, 4?
a
Let s = 93 + -461/5. Let a(w) = 4*w**3 + 2*w**2 - 2*w + 1. Let d be a(1). Suppose 5*y + d = -0*y. What is the third smallest value in y, s, 14?
14
Let g = 11 - -49. Let u be 21/g + 2/5. Let d = 1 - 3. Which is the third biggest value? (a) 4 (b) u (c) d
c
Let f = -6 - -11. Let g = -14/3 + f. Let x = 3993 + -3992. Which is the second smallest value? (a) x (b) -3 (c) g
c
Let i = -48 - -69. Let s be (-4)/i + 285/(-35) + 8. Suppose 5*w - 2*w - 9 = 0. Which is the third biggest value? (a) -4 (b) w (c) s
a
Let d = -180 - -119. Let h = -57 - d. Which is the second biggest value? (a) h (b) 5 (c) -2.2
a
Let v be (-4)/(35/10*4). What is the fourth smallest value in -2, v, 2/15, -0.8?
2/15
Let r = 425 - 426.2. What is the third biggest value in r, -5, -1?
-5
Let o = 0.76 + -3.03. Let h = 4.28 + o. Let s = h - 2. Which is the second smallest value? (a) s (b) 4 (c) 0
a
Let z = 426.61 - 429. Let x = -0.39 - z. What is the third biggest value in 0.3, -0.2, x, 1?
0.3
Let u = -1.7 + 1.9. Let i = -2837/17 - -167. Which is the smallest value? (a) u (b) i (c) -3
c
Let n = -4 + 3.6. Let j = -5356 - -5360. Which is the second smallest value? (a) 0.4 (b) j (c) n (d) -2
c
Suppose -590 = -8*h - 622. Let p = 1/7 + -1/56. Let u = -849/7 + 121. Which is the third smallest value? (a) h (b) u (c) p
c
Let h = 2.3 - 1.6. Let z = -2.56 + 0.21. Let t = z - -0.35. What is the second biggest value in h, t, 5?
h
Let v = 5.18 - 5. Let u be (-2156)/(-1232)*(-36)/(-21). Which is the fourth smallest value? (a) v (b) 1/2 (c) u (d) -3
c
Let p = 0.249 + -1.249. Which is the smallest value? (a) 0.1 (b) p (c) 1 (d) 1/2
b
Let x = -3861 + 3861. Let q be (-2)/(4 + 4/(-2)). What is the smallest value in 2/13, q, x?
q
Let o = 5.52 - 4.6. Let q = -10 + 9.92. Let u = o - q. Which is the second biggest value? (a) u (b) 2/9 (c) 3
a
Let n = 54/5 + -133/10. What is the second smallest value in 0, -2/11, n?
-2/11
Let f(u) = u - 3*u + 9 + 3*u - 5*u. Let i be f(3). Let r = -4 - -54/13. What is the third biggest value in i, r, 1?
i
Let x = 0.259 - -0.141. Let k(n) = -n - 1. Let d be k(-2). Let r = -0.1 + 4.1. What is the smallest value in r, x, d?
x
Let u be (-10)/160*(1 + -655). Let b = u - 41. Let t = -0.4 + 0.6. What is the smallest value in b, -2/3, t?
-2/3
Let k(l) = -l**2 - 15*l - 51. Let o be k(-8). Let c = 0.1 - -0.2. What is the smallest value in c, -4, -1/6, o?
-4
Let u = -102.4 + 107.4. What is the third biggest value in u, -4/7, 295?
-4/7
Suppose -768 - 372 = -57*g. Let u be (-1 - (-1 + -1))*-1. Which is the biggest value? (a) g (b) 0 (c) u
a
Let s = -379/329 - -3/329. Let v = 172 - 171.6. What is the smallest value in 1, s, v, 4?
s
Let d = 23 - 24. Suppose 6 = -n - 5*q, -4*n + 8 = 4*q - 0. Let h be (n/(-15))/((-2)/3). What is the smallest value in 5, d, h?
d
Let r be (-1*(-7)/(-14))/(10/(-8)). What is the third biggest value in 0, 5, r, -1?
0
Let z = 0.1868 - 0.1068. What is the second biggest value in z, 1/6, -2/43?
z
Let q = 0.34 + -0.19. Let i = q - 2.15. Which is the second smallest value? (a) -0.3 (b) 5 (c) i
a
Let q = 195 - 194. What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
the first derivative of v(o) wrt o.
21008*o**3
Suppose t + 37 = o, -4*o + 3*t + 145 = -2*t. Find the first derivative of -46*g - 57*g**4 - 48*g - o + 94*g wrt g.
-228*g**3
Find the second derivative of 15223903*o**4 - 15223586*o**4 + 859*o + 930*o wrt o.
3804*o**2
Let i(v) be the third derivative of -25/3*v**3 + 0*v**4 + 100*v**2 + 0*v**6 + 0 + 0*v + 0*v**5 + 5/21*v**7. Differentiate i(j) with respect to j.
200*j**3
Let l = 10913 + -10911. Suppose w + 4*w - 79 = -3*c, 2*c - 62 = -4*w. Find the first derivative of 6*h - 9*h + l*h + w + 14*h wrt h.
13
Let u = -38 - -40. Let f(i) be the first derivative of i + 37*i**u + 5 - 44*i**2 + 5*i. What is the derivative of f(n) wrt n?
-14
Let l(r) be the third derivative of 13*r**7/35 + r**6/120 + 268*r**4/3 - 17*r**2 + 34. Find the second derivative of l(o) wrt o.
936*o**2 + 6*o
Let i(c) = 49*c**2 + 40*c. Let n be (-30)/9*(54/(-12) - -3). Let d(m) = 99*m**2 + 80*m. Let u(f) = n*i(f) - 2*d(f). Find the second derivative of u(l) wrt l.
94
Let o(y) = y**2 - 1. Let k(t) = -24*t**2 - 5. Suppose 3*f - 5*w = -0*f - 28, 3*f + 16 = -w. Let j(h) = f*o(h) - k(h). Differentiate j(m) with respect to m.
36*m
Let t(n) be the first derivative of -104*n**7/7 - n**6/3 - n**4/4 + n**3/3 + 189*n**2/2 - 2*n + 2867. What is the third derivative of t(i) wrt i?
-12480*i**3 - 120*i**2 - 6
Suppose 18 = 2*d - 0. What is the first derivative of 5*a**3 - 25 + 3*a - 9*a**3 - d - 9*a**3 wrt a?
-39*a**2 + 3
Let s = -44 - -45. Let l(d) = 12*d + 1. Let y be l(s). Differentiate 17*k**2 + 9*k + y - 9*k wrt k.
34*k
Let o(v) = -24*v**4 + 63*v**2 - 18*v + 3737. Let u(b) = 2*b**4 + 2*b**2 + 3*b - 1. Let k(y) = -o(y) - 6*u(y). What is the derivative of k(d) wrt d?
48*d**3 - 150*d
Let z(x) be the first derivative of x**4/4 - 6440*x**3/3 + 9507*x**2/2 + 4378. What is the second derivative of z(q) wrt q?
6*q - 12880
Let f(i) be the first derivative of 0*i + 0*i**2 + 67/2*i**4 + 45 - 44/3*i**3. What is the third derivative of f(o) wrt o?
804
Let d(m) = 186*m**2 + 830*m - 24. Let j(a) = a**2 + a - 4. Let n(h) = -d(h) + 6*j(h). Find the second derivative of n(c) wrt c.
-360
Let u(b) be the first derivative of -389*b**5/5 - 1190*b - 1983. What is the derivative of u(g) wrt g?
-1556*g**3
Let l(s) be the first derivative of 4781*s**6/6 + 2211*s**2 - 851. What is the second derivative of l(r) wrt r?
95620*r**3
What is the third derivative of 2*z + 2096*z**4 - 443581*z**3 + 68*z**2 - 2*z**6 + 443580*z**3 + 0*z wrt z?
-240*z**3 + 50304*z - 6
Let j(t) = 17*t + 93. Let d = 61 + -55. Let p(k) = -35*k - 188. Let z(n) = d*p(n) + 13*j(n). Differentiate z(g) wrt g.
11
Suppose 0 = f + b - 70, 4*f - 2*b = 105 + 157. Let z = -30 + f. What is the second derivative of 55*o**3 + z*o**4 - 14*o - 55*o**3 wrt o?
444*o**2
Let v(j) be the first derivative of -11 + 68/3*j**3 - 3/2*j**2 + 1/2*j**4 + 32*j. Find the second derivative of v(n) wrt n.
12*n + 136
Let i(u) be the first derivative of -278*u + 135 - 16*u**2 + 180*u + 189*u. Find the first derivative of i(w) wrt w.
-32
Let l(o) be the second derivative of -o**6/5 - 51*o**5/20 + 7*o**4/12 + 161*o**3/6 - 111*o - 16. What is the third derivative of l(x) wrt x?
-144*x - 306
Let h = -7519/3 + 2514. Let p(z) be the first derivative of h*z**3 - 7 - 7/2*z**2 + 0*z. Find the second derivative of p(o) wrt o.
46
Let s(j) be the first derivative of 16/3*j**3 - 46 - j**2 - 7*j. Find the second derivative of s(n) wrt n.
32
Let p(o) be the second derivative of 1363*o**5/20 - 857*o**2/2 - 10*o - 1. Differentiate p(i) wrt i.
4089*i**2
Let w(m) = 13*m**2 - 2*m - 757. Let u(c) = 21*c**2 - 5*c - 1513. Let o(q) = 4*u(q) - 9*w(q). What is the first derivative of o(v) wrt v?
-66*v - 2
Let l(u) = 8*u + 9 + 12*u - 19*u. Let y be l(-7). What is the derivative of -6*d**2 - 6 - 11 + 7 + 18*d**y wrt d?
24*d
Let l(q) be the second derivative of -213*q**5/10 - q**4/6 - 5*q**3/3 + q**2/2 + 5078*q. Find the second derivative of l(s) wrt s.
-2556*s - 4
Suppose -5*p + p + 120 = 5*s, -3*s - 2*p + 74 = 0. Let o = s - 20. What is the first derivative of -4 + 11 - o*y**4 - y**4 wrt y?
-36*y**3
Let s(h) be the first derivative of 355*h**6/2 + 236*h**3/3 + h - 879. What is the third derivative of s(u) wrt u?
63900*u**2
Let n(i) be the first derivative of 0*i**4 + 0*i**5 + 0*i**6 - 60 + 6*i + 2/3*i**3 - 3*i**7 + 0*i**2. What is the third derivative of n(t) wrt t?
-2520*t**3
Let u(g) be the first derivative of -1/2*g**4 + 65*g**2 + 0*g**3 - 48*g + 148. Find the first derivative of u(p) wrt p.
-6*p**2 + 130
Let p(d) be the first derivative of 5*d**4/4 + 3*d**2 + 801*d + 2816. What is the derivative of p(q) wrt q?
15*q**2 + 6
Let u = -2 - -4. Find the third derivative of 6747*q**2 + 136*q**3 - 6930*q**u - 2 + 2 wrt q.
816
Let d = 160 + -156. Find the third derivative of -45*t**4 + 20*t**4 - 48*t**d - 5*t**2 - 2*t - 52*t**2 wrt t.
-1752*t
Find the third derivative of 141*p**2 + 967*p**2 - 23*p**3 - 16*p**3 - 64*p**3 wrt p.
-618
Suppose 0 = -3*z + 2*b + 167 + 20, z - 62 = b. What is the derivative of -z - 4239*r**3 + 4240*r**3 - 43*r + 18 - 3*r wrt r?
3*r**2 - 46
Let a(i) be the third derivative of -5957*i**6/120 + 145*i**4/4 - i**3/6 - 20*i**2 - 3*i + 12. What is the second derivative of a(l) wrt l?
-35742*l
Let b(z) be the second derivative of -1/30*z**6 + 0*z**5 - 60*z + 17/3*z**4 + 0*z**7 - 9/28*z**8 + 0 + 0*z**2 + 0*z**3. Find the third derivative of b(v) wrt v.
-2160*v**3 - 24*v
Differentiate -260*y + 532*y + 773*y**3 + 2622 - 271*y wrt y.
2319*y**2 + 1
What is the first derivative of 1505*p + 27280 - 820*p - 26224 + 1771*p wrt p?
2456
Let x(j) be the first derivative of 923*j**4/2 - j**3 + 131*j + 674. Find the third derivative of x(t) wrt t.
11076
Let h(z) be the third derivative of -z**8/14 - 2*z**7/21 - z**4/24 + 178*z**3/3 - 1974*z**2. What is the second derivative of h(m) wrt m?
-480*m**3 - 240*m**2
Let t = -34 + 52. Suppose -t = -4*y + 4*j + 10, 3*y + 4 = -2*j. Find the third derivative of -3*m**2 + 25*m**y + m**3 + 7*m**3 wrt m.
48
Let m(w) be the first derivative of 699*w**3 - 3*w**2/2 + 182*w - 1461. What is the second derivative of m(i) wrt i?
4194
Find the first derivative of -299 + 17686*w**2 - 1671*w**3 - 35366*w**2 - 5767 + 17680*w**2 wrt w.
-5013*w**2
What is the first derivative of 89 + 5055*f**2 - 274 + 429 wrt f?
10110*f
Let v = 435 - 237. What is the third derivative of -153*h**2 + 12*h**4 + v*h**2 - 47*h**4 wrt h?
-840*h
Let t be 2 - (-3)/((-9)/(-66)). Let h be t/(-7)*(-16 + 9). Find the second derivative of 12*x + 4*x**4 - h*x**4 - 2*x**4 wrt x.
-264*x**2
Let g be 318/9 - (9 - (-116)/(-12)). Find the third derivative of -38*j**3 - g*j - 34*j - 9*j + 2*j**4 + 112*j + 4*j**2 wrt j.
48*j - 228
Let h(v) be the second derivative of -781*v**4/12 - 292*v**3 - v**2 + 1809*v. What is the second derivative of h(y) wrt y?
-1562
Let c(m) be the second derivative of 1 + 31/2*m**3 - 17*m - 71/2*m**2. What is the derivative of c(f) wrt f?
93
Let h(t) be the third derivative of -t**8/14 - 11*t**5/20 - 205*t**4/24 + 174*t**2 + 2*t. Find the second derivative of h(u) wrt u.
-480*u**3 - 66
Find the third derivative of -6 + 19 - g**3 - 5 + 35*g**4 + 940*g**2 - 8 wrt g.
840*g - 6
Let p(s) be the second derivative of -s**4/6 + 52*s**3/3 - 237*s**2/2 + 229*s + 3. Differentiate p(l) wrt l.
-4*l + 104
Suppose -3*q = -k + 7, -k - 5*q = -1 + 2. Find the third derivative of -155*w**2 - 371*w**6 + 18*w**4 + 112*w**6 - 9*w**4 - 9*w**k wrt w.
-31080*w**3
Let q(f) be the first derivative of 1228*f**3/3 - 553*f**2 - 1168. Find the second derivative of q(t) wrt t.
2456
Let q = -269 + 274. What is the derivative of q*d**4 + 260 + 184*d - 184*d + 20*d**4 + 5*d**4 wrt d?
120*d**3
Suppose -3*v + 560 + 1876 = -4*b, 5*v = -4*b + 4060. Suppose 0 = -0*l - 2*l + 24. Differentiate 9*c**3 + l - v*c**2 + 812*c**2 wrt c.
27*c**2
What is the third derivative of 185 + 173 - 875*r**5 - 358 - 7*r**2 + 23*r**2 wrt r?
-52500*r**2
Let b(j) be the second derivative of 0 - 1/2*j**4 + 31*j + 14*j**3 + 0*j**2. Find the second derivative of b(o) wrt o.
-12
Differentiate -776*h - 23 + 387*h - 179 + 419*h with respect to h.
30
Let q be (-84)/10 - (28/(-20) + 1). Let c = q - -27. Differentiate c + 7*y**2 + 11*y - 11*y with respect to y.
14*y
Suppose -29*t + 22*t + 21 = 0. Find the first deriva
|
{
"pile_set_name": "DM Mathematics"
}
|
-3)/(-5) + (-144)/40. Sort y, 1, l.
y, l, 1
Let z = 0.846 - 0.9. Let i = 4.154 + z. Let x = i + -0.1. Put x, -5/3, -0.3 in ascending order.
-5/3, -0.3, x
Suppose -4*c + 17 = -u, 0 = 3*u - u - 4*c + 26. Let g = 13 + u. Let w be 1/3 + (-2)/6. Put g, -4, w in decreasing order.
g, w, -4
Let d = -0.069 + -0.931. Let b = -1 - 4. Sort b, d, -3.
b, -3, d
Let k = 19 + -30. Let x = k + 16. Suppose 2 = h - t - 3, -2*t - 3 = x*h. Sort -5, 0, h in increasing order.
-5, 0, h
Let h = -1.6 - -1.5. Let o = -1.2 + 1.3. Sort 0.3, h, o.
h, o, 0.3
Let f be ((-36)/(-45))/((-1)/1). Let a = -1 + 1. Sort -5, f, a in descending order.
a, f, -5
Let b = -1.97 + -0.03. Let t = -19.1 + 19. Sort 0.3, t, b in decreasing order.
0.3, t, b
Let k be 2 + 1 - (-5851)/(-2286). Let o = 1/254 + k. Sort o, 0.4, -0.2 in decreasing order.
o, 0.4, -0.2
Let r be 0 + 2 + 0 - -1. Sort r, 1, 5 in descending order.
5, r, 1
Let q = 0.08 - 0.08. Let w = 0 + -4. Let y be (-34)/357*7/(-3). Sort y, q, w in ascending order.
w, q, y
Suppose -5*y + y = 4*t + 72, 3*y + 24 = 3*t. Let h(q) = q + 17. Let w be h(y). Let s(v) = -v + 4. Let d be s(7). Put d, -2/17, w in increasing order.
d, -2/17, w
Suppose 91*u - 85*u = 6. Put 10, u, -1 in increasing order.
-1, u, 10
Let q be (276/(-18))/((-3)/(-9)). Sort 0, 5, q in ascending order.
q, 0, 5
Let u = 63 - 59. Sort u, 1, 6 in decreasing order.
6, u, 1
Let c be (-5 + 1)/(-2) - (4 + -2). Sort c, 1, -3, -4 in increasing order.
-4, -3, c, 1
Let c = 0.14 + 1.56. Let h = c - 2. Sort 0.5, h, -1 in descending order.
0.5, h, -1
Let z = 0.01 - 0.11. Put 2/13, z, 1/4 in ascending order.
z, 2/13, 1/4
Suppose -5*m - k - 2*k = 9, 5*k + 15 = 3*m. Sort 1, 1/8, m, 3 in decreasing order.
3, 1, 1/8, m
Let l be ((-6)/(-10) - 296/160) + 0. Let x = -2.02 + 0.02. Put 2, x, l in decreasing order.
2, l, x
Let b = 64 + -509/8. Sort b, 1, -1 in descending order.
1, b, -1
Let v = -17 - -30. Sort 1, v, 3 in increasing order.
1, 3, v
Let d(z) = z**2 + 2*z - 1. Let u be d(-3). Let w be (4/(-6))/(5/15). Put 1, w, u in decreasing order.
u, 1, w
Let s be (-3)/(-4)*1/(-6)*2. Put s, -4, -9, -5 in ascending order.
-9, -5, -4, s
Let u = 3 - 0. Let r(y) = -2*y**3 - y + 1. Let a be r(1). Let z = -5 + 7. Put a, z, u in decreasing order.
u, z, a
Suppose -3*v = -3*s + 24, 0*s + 3*s - 28 = 5*v. Suppose o + 2*g + 8 = 0, s*o - o + 14 = 3*g. Let b be 3/2*(-4)/(-6). Put -1, o, b in ascending order.
o, -1, b
Let s = -19 - -21. Sort -2, s, 4 in ascending order.
-2, s, 4
Let k = 0.01 - -0.69. Let b = -0.3 - k. Let c be 2/4 + 2/(-2). Put -5, b, c in ascending order.
-5, b, c
Let p = 1.1 + -0.6. Sort -3/4, 1, p in decreasing order.
1, p, -3/4
Let c = 7/33 - -97/165. Let v be 2/5 + (-1)/15. Put 7, c, v in decreasing order.
7, c, v
Let b = 111.2 - 111. Sort -13, b, 1, 3/5 in descending order.
1, 3/5, b, -13
Let a be 4/(-8)*2*-4. Suppose -2 - 2 = -a*g. Sort g, -3, 5 in decreasing order.
5, g, -3
Suppose 5*f - 4*f - 1 = 0. Suppose 4*v - f = 5*v. Let x = v + 1. Sort x, 5, 1.
x, 1, 5
Let k be (-4)/22 + 24/(-352). Put -4, -2/5, k in ascending order.
-4, -2/5, k
Let u = -0.94 + 11.94. Put -5, 1/4, u in increasing order.
-5, 1/4, u
Suppose -3*s - 48 = -2*c + 5*c, 0 = -2*s - 4*c - 28. Let l be (-1)/(3/s*-3). Let q(h) = -3*h**3 + h + 1. Let j be q(-1). Sort 2, j, l in decreasing order.
j, 2, l
Let x = 14 - 9. Sort -1, 4, x in decreasing order.
x, 4, -1
Let t = -268 + 2946/11. Put 1/5, t, -0.4 in decreasing order.
1/5, t, -0.4
Let p be (-2)/2 + 0 - -2. Let t(k) = -k**2 + 4*k. Let x be t(4). Let n be 3 - (x - -3 - 4). Put p, n, 3 in descending order.
n, 3, p
Suppose -2 = s - n, -10 = -5*n - 0. Let w = -5 + s. Let y = -3 - -6. Sort 5, y, w in decreasing order.
5, y, w
Let o = 2 + -1. Let j be 9/6*1/6. Sort -3, o, j in descending order.
o, j, -3
Let m = 76 + -75.9. Sort m, -2/9, -0.4, 0.2 in decreasing order.
0.2, m, -2/9, -0.4
Let q be 1/(-3) - 40/(-30). Put 5, q, -5 in decreasing order.
5, q, -5
Let l be 12/2 - 10/((-60)/(-18)). Let s = -2 - -1. Sort 0, l, s in decreasing order.
l, 0, s
Let v(d) = d**3 + 20*d**2 + 37*d + 21. Let a be v(-18). Put a, 1, -3, 0 in ascending order.
-3, 0, 1, a
Suppose -5*c = k - 22, k - 6*k + 10 = 5*c. Put k, 0, -5 in decreasing order.
0, k, -5
Suppose 4*o - 2 = 2*r + 2, -8 = r - 4*o. Let g = -13 - -16. Let j be (2/4)/(g/6). Sort -1, j, r.
-1, j, r
Suppose -3*x + y - 14 = 0, 4*x = -0*y - y - 14. Let z be 1/((-12)/(-10) + -1). Let f = 9 + -7. Sort f, z, x in ascending order.
x, f, z
Let r = 1.9 + -6.9. Let g = -0.99 + -0.01. Put r, -5/2, g in decreasing order.
g, -5/2, r
Let f(z) = -z**2 + 6*z. Let t be f(8). Let n be (-6)/27 - t/(-9). Let d(i) = -4*i**2 - i - 1. Let s be d(-1). Sort n, s, 0 in increasing order.
s, n, 0
Let c = -0.55 - -32.55. Let v = -17 + c. Let m = v - 10. Sort 0.5, m, -2/17 in increasing order.
-2/17, 0.5, m
Suppose -9*x + 4 = -5*x. Sort -5, x, 3 in decreasing order.
3, x, -5
Let r be (-1)/9*-1*-3. Sort -1/2, -0.4, r.
-1/2, -0.4, r
Let y = 9.3 + -9.22. Put -3, 2, y in descending order.
2, y, -3
Let w = -14 - -38. Suppose 0 = 5*m + 4 - w. Let l = -7 - -2. Sort l, m, 1 in ascending order.
l, 1, m
Let q(f) = -f + 1. Let k be q(1). Let h be 2 + (k - (-18)/(-8)). Let n = 2.3 - 1.9. Put h, n, 5 in descending order.
5, n, h
Let u = 8 - 3. Let f = 1 + u. Suppose 0*d - f = -2*d. Sort d, 1, -4 in decreasing order.
d, 1, -4
Let q = 8 - 3. Suppose -3 - 2 = -q*r. Let g(m) = 3*m + 1. Let f be g(r). Sort f, -3, 1.
-3, 1, f
Suppose -18 = f + 5*v, 3*f - 5*v + 24 = -10*v. Put 1, -6, f in decreasing order.
1, f, -6
Let a = -24 - -25. Let w = -10 - -7. Put w, a, 5 in increasing order.
w, a, 5
Let b = 14.9 + -15. Sort b, -3/2, 5.
-3/2, b, 5
Let d(q) = 2*q - 8. Let w be d(5). Let m be ((-8)/w)/(0 + 2). Put -0.4, 0.3, m in descending order.
0.3, -0.4, m
Let w(r) = -6*r - 7. Let a(v) = 17*v + 20. Let c(s) = -4*a(s) - 11*w(s). Let u be c(-2). Sort -5, u, -4 in increasing order.
-5, -4, u
Let d = -14 + 19. Suppose d = -c - 0. Sort -4, c, 0.
c, -4, 0
Let c = 0 - 1. Let o = -1.3 - c. Let l = 0.3 + o. Sort -4, l, -0.3.
-4, -0.3, l
Suppose 4*u - 2 = 2*v - 8, 2*v = u - 3. Put 5, 1, v, 4 in ascending order.
v, 1, 4, 5
Let y be 4/10 - 2/5. Suppose -4*a + 3*a + 2 = 0, y = q - 2*a + 3. Sort 5, q, 6 in ascending order.
q, 5, 6
Let v = -11 - -7. Suppose 0 = 5*u + 6*x - x - 5, -5*u + 3*x + 37 = 0. Suppose 2*s - 2 + u = -p, 5*s = -10. Sort p, v, -3.
v, -3, p
Let f(u) = -u**2 + 5*u - 1. Suppose 2*k + 12 = 5*k. Let y be f(k). Suppose 0 = 2*t - h - 9, -h = 5*t - y*h - 23. Sort t, -4, 2 in descending order.
t, 2, -4
Let b = -5 - -8. Suppose -5*q - r - 30 = -b*r, -3*r = -15. Sort -2, q, 5 in decreasing order.
5, -2, q
Suppose 0 = 2*y + 2*d - 2, -2*y - 1 = -5*d - 3. Let l(t) = 2*t. Let p be l(y). Sort -2, p, 0 in descending order.
p, 0, -2
Let w be 3/((-8)/((-800)/(-15))). Sort 4, w, -4 in decreasing order.
4, -4, w
Let k be (1/(-4))/(1/(-4)). Let u be 38/10 + 3/15. Sort u, 0, k in descending order.
u, k, 0
Let t be 12/(-10)*(-40)/12. Let h(q) = -q**2 - q + 1. Let u be h(-2). Put t, 1, u in decreasing order.
t, 1, u
Let m be (0/7)/(-1 - (-2)/(-1)). Put -1/8, m, -1/3 in increasing order.
-1/3, -1/8, m
Let l = -0.66 - -0.7. Let c = 2.96 + l. Let t = 3 - c. Sort t, -4, -0.5 in increasing order.
-4, -0.5, t
Let b(z) be the first derivative of z**2 - 6*z + 1. Let f be b(4). Let l(m) = m + 7. Let q be l(-6). Put f, q, -2 in ascending order.
-2, q, f
Let u = -4 + -14. Let v = -21 - u. Let b = 2565/17 + -151. Sort -0.3, b, v in ascending order.
v, -0.3, b
Let i be 5/15*0 + -2. Let f be -2*(-2)/(4/(-3)). Sort f, i, 4.
f, i, 4
Let g = -0.33 + 0.19. Sort -2/17, g, 1/7 in decreasing order.
1/7, -2/17, g
Let f = -0.05 - 0.15. Suppose 3*d + 4 = 1. Let k = 1 - 0.5. Sort f, d, k in descending order.
k, f, d
Let k(s) = s**3 - 6*s**2 + 8*s - 15. Let g be k(5). Sort g, 2, 3 in increasing order.
g, 2, 3
Let c = 0.05 - -8.95. Let j = c - 5. Let q = 0.028 + 0.472. Put j, -0.2, q in descending order.
j, q, -0.2
Let z be (0 - -1) + 3 + -2. Suppose -z*n + 3 = -1. Put -4, n, 3 in decreasing order.
3, n, -4
Let i = -2.95 + -0.05. Sort -1, -2, i.
i, -2, -1
Let g = 1 + 1. Suppose -4*s + 9*s = -20. Let h = 9 + -11. Put h, g, s in ascending order.
s, h, g
Let c(v) = 2*v - 9. Let d be c(6). Suppose 5*j = 23 - 3. Sort -4, j, d in decreasing order.
|
{
"pile_set_name": "DM Mathematics"
}
|
st the prime factors of 31926.
2, 3, 17, 313
List the prime factors of 145359.
3, 31, 521
What are the prime factors of 1685?
5, 337
What are the prime factors of 3016?
2, 13, 29
What are the prime factors of 34514?
2, 17257
List the prime factors of 2103.
3, 701
What are the prime factors of 756?
2, 3, 7
List the prime factors of 112882.
2, 7, 11, 733
What are the prime factors of 2808?
2, 3, 13
What are the prime factors of 56559?
3, 17, 1109
What are the prime factors of 79883?
17, 37, 127
What are the prime factors of 1327?
1327
What are the prime factors of 1086?
2, 3, 181
List the prime factors of 8016.
2, 3, 167
What are the prime factors of 38427?
3, 12809
List the prime factors of 175.
5, 7
List the prime factors of 6202.
2, 7, 443
List the prime factors of 93464.
2, 7, 1669
What are the prime factors of 3260?
2, 5, 163
List the prime factors of 6616.
2, 827
List the prime factors of 54152.
2, 7, 967
List the prime factors of 810.
2, 3, 5
List the prime factors of 124.
2, 31
List the prime factors of 713.
23, 31
List the prime factors of 7302.
2, 3, 1217
List the prime factors of 461.
461
What are the prime factors of 698?
2, 349
What are the prime factors of 436?
2, 109
What are the prime factors of 30987?
3, 11, 313
List the prime factors of 3931.
3931
What are the prime factors of 539?
7, 11
List the prime factors of 655.
5, 131
List the prime factors of 1447.
1447
What are the prime factors of 8457?
3, 2819
List the prime factors of 47645.
5, 13, 733
List the prime factors of 541.
541
List the prime factors of 4595.
5, 919
List the prime factors of 1011.
3, 337
What are the prime factors of 5275?
5, 211
List the prime factors of 97388.
2, 97, 251
What are the prime factors of 20739?
3, 31, 223
List the prime factors of 150.
2, 3, 5
What are the prime factors of 12774?
2, 3, 2129
List the prime factors of 1719.
3, 191
List the prime factors of 2026.
2, 1013
List the prime factors of 1397.
11, 127
What are the prime factors of 1994?
2, 997
What are the prime factors of 1597?
1597
What are the prime factors of 29488?
2, 19, 97
List the prime factors of 923.
13, 71
What are the prime factors of 1877?
1877
List the prime factors of 74.
2, 37
What are the prime factors of 64181?
13, 4937
List the prime factors of 46598.
2, 23, 1013
What are the prime factors of 553?
7, 79
What are the prime factors of 14200?
2, 5, 71
What are the prime factors of 58696?
2, 11, 23, 29
List the prime factors of 70256.
2, 4391
List the prime factors of 2152.
2, 269
List the prime factors of 312.
2, 3, 13
List the prime factors of 1925.
5, 7, 11
What are the prime factors of 178934?
2, 7, 12781
List the prime factors of 26055.
3, 5, 193
What are the prime factors of 3921?
3, 1307
List the prime factors of 23156.
2, 7, 827
What are the prime factors of 137538?
2, 3, 283
List the prime factors of 12147.
3, 4049
What are the prime factors of 98046?
2, 3, 13, 419
What are the prime factors of 448?
2, 7
List the prime factors of 810.
2, 3, 5
List the prime factors of 4106.
2, 2053
List the prime factors of 6893.
61, 113
List the prime factors of 97154.
2, 31, 1567
What are the prime factors of 1291?
1291
What are the prime factors of 104?
2, 13
What are the prime factors of 3140?
2, 5, 157
List the prime factors of 25096.
2, 3137
What are the prime factors of 954?
2, 3, 53
List the prime factors of 2226.
2, 3, 7, 53
What are the prime factors of 328?
2, 41
List the prime factors of 12706.
2, 6353
What are the prime factors of 1216?
2, 19
List the prime factors of 1277.
1277
What are the prime factors of 9227?
9227
List the prime factors of 732.
2, 3, 61
What are the prime factors of 664?
2, 83
List the prime factors of 19184.
2, 11, 109
What are the prime factors of 43885?
5, 67, 131
What are the prime factors of 3689?
7, 17, 31
List the prime factors of 4137.
3, 7, 197
What are the prime factors of 22101?
3, 53, 139
What are the prime factors of 11832?
2, 3, 17, 29
List the prime factors of 5580.
2, 3, 5, 31
List the prime factors of 607.
607
What are the prime factors of 2245?
5, 449
What are the prime factors of 17212?
2, 13, 331
List the prime factors of 1665.
3, 5, 37
What are the prime factors of 32893?
7, 37, 127
What are the prime factors of 1553?
1553
List the prime factors of 465.
3, 5, 31
List the prime factors of 5530.
2, 5, 7, 79
List the prime factors of 18523.
18523
What are the prime factors of 82062?
2, 3, 47, 97
List the prime factors of 6882.
2, 3, 31, 37
List the prime factors of 11897.
11897
List the prime factors of 15149.
15149
What are the prime factors of 93?
3, 31
List the prime factors of 1759.
1759
List the prime factors of 1903.
11, 173
List the prime factors of 27024.
2, 3, 563
What are the prime factors of 27156?
2, 3, 31, 73
List the prime factors of 243.
3
What are the prime factors of 276?
2, 3, 23
List the prime factors of 245.
5, 7
What are the prime factors of 2500?
2, 5
List the prime factors of 94017.
3, 7, 11, 37
What are the prime factors of 16855?
5, 3371
List the prime factors of 720.
2, 3, 5
What are the prime factors of 58?
2, 29
What are the prime factors of 3081?
3, 13, 79
What are the prime factors of 8008?
2, 7, 11, 13
What are the prime factors of 1092?
2, 3, 7, 13
What are the prime factors of 41624?
2, 11, 43
What are the prime factors of 9180?
2, 3, 5, 17
List the prime factors of 1236.
2, 3, 103
What are the prime factors of 16940?
2, 5, 7, 11
List the prime factors of 95290.
2, 5, 13, 733
What are the prime factors of 65907?
3, 2441
List the prime factors of 4459.
7, 13
List the prime factors of 7638.
2, 3, 19, 67
What are the prime factors of 13953?
3, 4651
What are the prime factors of 15512?
2, 7, 277
List the prime factors of 616.
2, 7, 11
List the prime factors of 1944.
2, 3
List the prime factors of 14939.
14939
What are the prime factors of 644?
2, 7, 23
What are the prime factors of 7465?
5, 1493
What are the prime factors of 2931?
3, 977
List the prime factors of 41869.
149, 281
List the prime factors of 39613.
7, 5659
List the prime factors of 117006.
2, 3, 19501
List the prime factors of 110895.
3, 5, 7393
List the prime factors of 1194.
2, 3, 199
List the prime factors of 1660.
2, 5, 83
List the prime factors of 99637.
17, 5861
What are the prime factors of 9161?
9161
List the prime factors of 22.
2, 11
What are the prime factors of 2542?
2, 31, 41
List the prime factors of 3377.
11, 307
What are the prime factors of 3170?
2, 5, 317
List the prime factors of 81647.
81647
What are the prime factors of 72099?
3, 8011
List the prime factors of 128137.
97, 1321
What are the prime factors of 3353?
7, 479
What are the prime factors of 1229?
1229
List the prime factors of 17860.
2, 5, 19, 47
What are the prime factors of 246?
2, 3, 41
What are the prime factors of 100?
2, 5
What are the prime factors of 134494?
2, 67247
What are the prime factors of 2117?
29, 73
List the prime factors of 49075.
5, 13, 151
List the prime factors of 709.
709
What are the prime factors of 17301?
3, 73, 79
List the prime factors of 17585.
5, 3517
What are the prime factors of 38634?
2, 3, 47, 137
List the prime factors of 56244.
2, 3, 43, 109
List the prime factors of 1930.
2, 5, 193
List the prime factors of 7027.
7027
List the prime factors of 561.
3, 11, 17
List the prime factors of 270.
2, 3, 5
What are the prime factors of 3968?
2, 31
What are the prime factors of 32216?
2, 4027
What are the prime factors of 424?
2, 53
What are the prime factors of 7010?
2, 5, 701
List the prime factors of 594.
2, 3, 11
List the prime factors of 11665.
5, 2333
What are the prime factors of 2037?
3, 7, 97
What are the prime factors of 265?
5, 53
List the prime factors of 1170.
2, 3, 5, 13
What are the prime factors of 23229?
3, 29, 89
What are the prime factors of 165?
3, 5, 11
What are the prime factors of 6645?
3, 5, 443
What are the prime factors of 6437?
41, 157
List the prime factors of 1322.
2, 661
List the prime factors of 35099.
35099
List the prime factors of 893.
19, 47
What are the prime factors of 1909?
23, 83
What are the prime factors of 69271?
53, 1307
What are the prime factors of 455?
5, 7, 13
List the prime factors of 10175.
5, 11, 37
What are the prime factors of 307?
307
What are the prime factors of 20224?
2, 7
|
{
"pile_set_name": "DM Mathematics"
}
|
)/a*(-4)/11. What is the closest to -1 in 0.1, y, 3?
y
Let w = 6 - 6.3. Let g = 4.87 - -0.13. Let y be (-20)/(-14) - 2/(-4 - -5). What is the closest to y in g, w, -0.2?
w
Let z = 85 + -84. Let s = -5.3 + 5. Which is the closest to z? (a) -1/7 (b) 2/3 (c) s
b
Let t = -147/5 + 1901/65. Let m = -29/6 - -25/6. Which is the closest to m? (a) t (b) -5 (c) 0.4
a
Let f = 15 - 14.9. What is the closest to 1 in -2/3, -2, f?
f
Let l = -4/5 + 11/20. What is the nearest to l in 0.3, 1/2, 1/7?
1/7
Let p be (-30)/105 + 9/7. What is the closest to p in 1, 0.5, -4?
1
Let v = 9/4 - 43/20. Let a = -3/19 + 28/57. What is the nearest to -1/2 in a, v, -3?
v
Suppose -3*l - 4*y = 21, 9 = -4*l - 3*y - 12. Let h = -1/10 - -7/20. Which is the closest to h? (a) l (b) 0.1 (c) 0.3
c
Let k be 1 - (-4)/(-3) - 14/3. What is the closest to 2/7 in k, 0.1, -3?
0.1
Let c = -167/13 + 13. Suppose -4*b - b - 30 = 0. Let j = b - -2. What is the nearest to 0.1 in j, -0.5, c?
c
Let q = -48 + 50. Let c = 214/3 - 72. What is the nearest to -1/4 in c, -5, q?
c
Let h = 2.3 - 2.1. What is the nearest to -4 in -1, 2/7, h?
-1
Let d be -2 - ((-12)/(-5))/(-2). Suppose -w = v - 0*v + 10, -5*w - 50 = v. Let o be (-5)/w - 2/(-12). What is the nearest to o in 1/2, 4, d?
1/2
Let l be 1*1/((-4)/(-4)). Suppose 2*o - 2*m - 10 = -2*o, -o - m + l = 0. What is the closest to -2 in 3, -4/3, o?
-4/3
Let z = 28 - 31. Which is the closest to -2? (a) z (b) -2/13 (c) 0.4
a
Let d be 1*22*5/(-5). Let s = d + 25. What is the closest to s in 5, 2/11, 0?
5
Let j be 0/(-2) - 44/(-66). What is the nearest to j in 2/21, -2, -1/2?
2/21
Let b = 97/150 + 1/50. What is the nearest to 1 in -2/7, b, -4?
b
Let u be -2 + 3*(-1 - 64/(-42)). Which is the nearest to -0.1? (a) 13 (b) u (c) 2/7
b
Let k = 1.1 + -1.2. Which is the closest to -3? (a) 0.1 (b) 0.4 (c) k
c
Let i = -3/16 - -27/16. Which is the closest to 2/7? (a) i (b) 0 (c) 7
b
Let u = 405/2 - 202. What is the nearest to u in -1, 10, 0?
0
Let v = -17.9 + 18. Let u = -8 + 5. Let r = -6.7 - -7. Which is the closest to v? (a) r (b) u (c) -0.3
a
Let p be 9/(-15) + (-6)/(-15). What is the nearest to 0.1 in -0.07, p, 4?
-0.07
Let g = 90.1 - 90. Which is the closest to g? (a) 2/7 (b) 0.1 (c) -5/3
b
Let q = 31 + -29. Which is the nearest to 0.1? (a) -2 (b) q (c) 0.4
c
Let z be (4/3*(-15)/35)/(-2). What is the closest to z in 5, -3/4, -3?
-3/4
Let g = 0.6 - 0.6. Which is the nearest to g? (a) -0.3 (b) -0.01 (c) 0
c
Let p = 0.58 + -0.5. Let t = p - 1.18. Let n = t + 1. What is the closest to -1/2 in -2/3, n, 2/13?
-2/3
Let y(z) = -2*z**3 + z. Let f be y(1). Suppose 15 = -2*h + 7. What is the closest to 0.1 in h, -0.2, f?
-0.2
Let t(y) = -y**2 - 5*y - 2. Let d be t(-2). Let j = d - 1. Let l = j - -2. What is the nearest to -0.1 in -0.4, l, -2?
-0.4
Let n = -0.24 - 0.76. What is the closest to n in -1/10, 2/9, -0.5?
-0.5
Let h be (-33)/30 + (-1)/(-2). Which is the closest to -0.2? (a) h (b) 0 (c) 0.3
b
Let d = -3 - -2. Let h = 3.1 - -0.4. Let v = 3 - h. Which is the nearest to -1? (a) d (b) 1/2 (c) v
a
Let q = -16 - -20. Suppose 8 = -2*k + q*k. Let f = -0.3 + -0.2. What is the nearest to -1 in k, -0.4, f?
f
Let v = 2.5 + -1.5. What is the closest to 1 in -0.1, v, -5?
v
Let d = -27.4 - -27. Which is the closest to 0? (a) 3 (b) d (c) -4
b
Let m = 6.255 - 0.215. Let z = -6 + m. Let k = 0.96 + z. Which is the closest to 2/7? (a) 0.3 (b) 2/7 (c) k
b
Let d = -87 - -91. Which is the closest to d? (a) 0.1 (b) -2/21 (c) -1/5
a
Let d = -13 + 15.6. Let h = -1.3 + d. Let f = h - 6.3. Which is the closest to -1/3? (a) 4 (b) -2/5 (c) f
b
Let h = -93 + 92.9. What is the closest to h in 1/3, 0.8, -5?
1/3
Let w = -2 + -3. Let n(s) = -s - 2. Let d be n(-6). Suppose 0 = d*l + 2 - 6. Which is the closest to -0.1? (a) w (b) l (c) 0.4
c
Let s = 83/3 - 28. Suppose 5*h + 7 = 3*m, m = -0*h + 2*h + 2. Let y = 6 - 5.5. Which is the nearest to 0.1? (a) s (b) h (c) y
c
Let o(x) = x - 4. Let d be o(9). Suppose d*m - 7 = 13. What is the nearest to 1/4 in -5, 2/15, m?
2/15
Let r = 0.1 + -0.4. Let x = -5.5 + 6. What is the closest to 2/3 in x, r, 0?
x
Let h = 7 - 11. Let r be (1/(-1))/((-1)/46). Let b = 139/3 - r. What is the closest to b in 2/9, -0.3, h?
2/9
Let x = -27 + -237. Let o be (6/8)/(x/64). Let h = -761/1004 + 2/251. What is the closest to h in 0.1, o, -0.3?
-0.3
Let d = 22/7 - 73/21. Which is the closest to 1/3? (a) d (b) -0.5 (c) 4
a
Let w be (2/(-26))/(4/8). Let k = 0.04 + 0.06. Which is the nearest to k? (a) -5 (b) 0 (c) w
b
Let s = 0.3 + -0.1. Let j = -19.1 - -19. Let d = s - j. Which is the nearest to 0? (a) -0.2 (b) -1/4 (c) d
a
Let v be 2/7 + 28/245. Let z be 0/(-1) + 6/33. What is the nearest to -0.1 in z, v, 1?
z
Let s be (0 + (2 - 2))/2. Suppose s = -4*o + 5*u - 40, 5*u + 19 = -o - 16. Let q be 1/(-4) - o/28. What is the nearest to q in -4/5, -3/5, -3?
-3/5
Let r be 0 + -3*(1/(-21))/(-1). What is the closest to -1/3 in r, -0.1, -5?
r
Let b = -74 + 76. What is the closest to b in -0.5, -3, -0.3?
-0.3
Let v = 24 - 42. Let h be (0 + -1)*2/v. Let s = 235/3 + -79. What is the nearest to s in 0.3, 2/13, h?
h
Let k = -3.3 + 3. Let t = -0.028 + 2.028. Which is the nearest to t? (a) 0 (b) 3 (c) k
b
Let x = 10 + -13. What is the closest to x in 0.4, 3, -1?
-1
Let k = 2.6 + 1.4. Let j = 0.2 - 0.1. Let s = -149/40 - -33/8. Which is the closest to j? (a) 5 (b) k (c) s
c
Let r(n) = -n**2 + 9*n + 17. Let c be r(11). What is the closest to 1 in 4, c, 0.4?
0.4
Suppose -2*m - 4*t + 17 = -m, -3*m + t = 1. Let w = m - 1/3. What is the closest to -1 in -2/9, 4/5, w?
-2/9
Let s(g) = g**2 + 14*g - 5. Let b be s(-14). Let i = -2.6 + 0.6. Let t be (2/25)/((-3)/(-15)). What is the closest to i in b, t, 0.5?
t
Let x = -101 - -101.4. Let d = -387 + 8893/23. Let a = 10/161 + d. What is the closest to 0.2 in a, x, -1/3?
x
Let b = -0.5 + 0.1. Let x = 1 - 1. What is the closest to 0.1 in -0.1, x, b?
x
Let g = -0.4 - -0.5. Let c = -5.78 - -0.78. What is the nearest to g in -2/11, c, 1/4?
1/4
Let k be -1 - ((-4)/(-6) + -1). Let c = -437/9 - -49. Let d = -17 + 18. What is the nearest to k in d, 2/19, c?
2/19
Let y = -0.81 + 1. Let x = -0.29 + y. Which is the closest to -2/3? (a) 1/4 (b) x (c) -2/13
c
Let t(r) = 7*r**3 + 5*r**2 + 11*r. Let l(y) = 6*y**3 + 5*y**2 + 10*y. Let g(f) = -6*l(f) + 5*t(f). Let o be g(-4). What is the nearest to -2/5 in 0.5, 5, o?
0.5
Let o = -3 - -3.4. Let n be -2 - ((-52)/25 - 0). Let s = -7 - -6.9. Which is the nearest to s? (a) n (b) -1 (c) o
a
Let w = -29.7 - -30. Which is the nearest to 2/7? (a) w (b) 0.4 (c) -0.8
a
Let v = 21 + -21. Let m = 1 - 0.5. What is the closest to -0.1 in m, -3/8, v?
v
Let f = 64 - 59. What is the closest to -28 in f, 2/5, 2/3?
2/5
Let u = 547/4 + -136. Suppose -5*y + 21 = 6. Let s be 0 + -1*2/y. Which is the closest to s? (a) u (b) -0.4 (c) 3/2
b
Let t = 0.036 - -0.964. Let a = -5 - -1. Let x be (-6)/a - 2/(-4). What is the nearest to t in 0.5, -5, x?
0.5
Let k = -6 - -7. Let s = -23/56 - -1/8. Which is the nearest to k? (a) 0.4 (b) -4/7 (c) s
a
Let w = 0.8 + -0.4. Which is the nearest to -5? (a) 4 (b) w (c) 2/9
c
Let h = 11 - 11.4. Which is the closest to 2/7? (a) h (b) 0.4 (c) -5
b
Let l = 44 - 44.1. Which is the nearest to -1? (a) 0.2 (b) -1/3 (c) l
b
Let f = 7.7 + -8. Let g = -51 + 151/3. What is the nearest to 1 in -3, g, f?
f
Let s = -2 - -2. Let d = 1 + -2. Which is the nearest to s? (a) -0.2 (b) -5 (c) d
a
Let w = -46 + 42.3. Let o = 0.7 + w. Let m = 0.56 + -0.06. Which is the closest to -2? (a) -1/9 (b) o (c) m
b
Let a = -0.44 + 0.24. What is the closest to -0.3 in -2, 1/8, a?
a
Let l be (-2)/7*(-9)/(-6). Let h be (-3)/(-9) + 2/3. Let a = 2 - 1.9. What is the nearest to h in a, -2/17, l?
a
Let u = -13 - -8. Suppose 360 = -3*c - c. Let i be (-8)/c - 1/5. What is the nearest to -1 in u, i, 1?
i
Let t = 4.8 - 5. Let n = 3 + -2. Which is the nearest to 1? (a) n (b) 3/7 (c) t
a
Let o = 111 - 331/3. What is the closest to 0 in 3, o, -2/9?
-2/9
Suppose 0 = 5*l - 5*p + 40, 0 = 6*l - 3*l + 5*p + 8. Let y be 2/l - (-2)/(-12). Which is the closest to -0.1? (a) 2 (b) -5 (c) y
c
Let n = -4 - -3.5. What is the nearest to 1 in n, 2, 3?
2
Let v = -4 - -4. Suppose v =
|
{
"pile_set_name": "DM Mathematics"
}
|
d and 1 n when three letters picked without replacement from {q: 4, l: 1, d: 2, t: 1, n: 9}.
9/680
Three letters picked without replacement from iididdd. What is prob of picking 3 d?
4/35
What is prob of picking 1 f, 1 h, and 1 t when three letters picked without replacement from trloffh?
2/35
Two letters picked without replacement from {l: 2, k: 6, g: 4, w: 7, q: 1}. Give prob of picking 1 w and 1 g.
14/95
Two letters picked without replacement from onoonnhnnhnhhn. Give prob of picking 1 o and 1 n.
3/13
Four letters picked without replacement from pnppnppppppn. What is prob of picking 4 p?
14/55
Four letters picked without replacement from {c: 11, d: 3}. What is prob of picking 1 d and 3 c?
45/91
Two letters picked without replacement from {q: 1, u: 2, j: 1}. Give prob of picking 2 u.
1/6
Calculate prob of picking 1 j and 3 p when four letters picked without replacement from jjjjpwpiwwjwwijpwwjw.
7/4845
Four letters picked without replacement from ewxxxxxxwxxxxxxxx. What is prob of picking 2 x, 1 w, and 1 e?
13/170
Four letters picked without replacement from uuoouuoougu. What is prob of picking 3 u and 1 g?
2/33
Calculate prob of picking 1 g, 1 m, 1 b, and 1 u when four letters picked without replacement from {b: 2, g: 1, m: 1, l: 2, w: 1, u: 1}.
1/35
Calculate prob of picking 1 y, 1 l, and 1 n when three letters picked without replacement from ccnccycynccycclc.
3/280
Two letters picked without replacement from {e: 2, j: 8, v: 4, w: 1, t: 1}. Give prob of picking 1 w and 1 e.
1/60
Calculate prob of picking 3 g when three letters picked without replacement from pgpggggpgpg.
7/33
Calculate prob of picking 1 a and 1 q when two letters picked without replacement from {a: 1, x: 2, q: 12, h: 4}.
4/57
Four letters picked without replacement from adazzoazzzaaoadadod. Give prob of picking 1 o, 1 a, and 2 d.
21/646
Calculate prob of picking 1 d and 1 u when two letters picked without replacement from uuud.
1/2
What is prob of picking 4 i when four letters picked without replacement from {y: 4, i: 16}?
364/969
What is prob of picking 2 h and 1 y when three letters picked without replacement from {u: 2, h: 6, y: 1, q: 2}?
1/11
Three letters picked without replacement from qbbcbvqqveqqeb. Give prob of picking 2 e and 1 v.
1/182
Three letters picked without replacement from {n: 7, w: 5, u: 4, o: 2}. What is prob of picking 3 u?
1/204
Three letters picked without replacement from {l: 1, h: 2, i: 1, k: 4, a: 3}. What is prob of picking 3 a?
1/165
Two letters picked without replacement from oaoooalloddooagoo. What is prob of picking 2 a?
3/136
What is prob of picking 1 a and 2 u when three letters picked without replacement from {w: 1, a: 3, u: 5}?
5/14
What is prob of picking 2 k when two letters picked without replacement from lrrkks?
1/15
What is prob of picking 2 s when two letters picked without replacement from {s: 5, j: 2}?
10/21
What is prob of picking 2 f when two letters picked without replacement from ffff?
1
What is prob of picking 1 k and 2 a when three letters picked without replacement from ynnaknnettknk?
0
Three letters picked without replacement from {h: 1, k: 1, r: 3}. Give prob of picking 2 r and 1 h.
3/10
What is prob of picking 2 n when two letters picked without replacement from {d: 4, n: 7}?
21/55
Calculate prob of picking 1 c and 1 p when two letters picked without replacement from pusskic.
1/21
Four letters picked without replacement from {s: 1, x: 1, v: 1, q: 1, i: 1}. What is prob of picking 1 s, 1 q, 1 x, and 1 i?
1/5
Three letters picked without replacement from ododooddxogodhdoo. What is prob of picking 1 d, 1 x, and 1 h?
3/340
Four letters picked without replacement from xxxixxxxiixx. What is prob of picking 2 x and 2 i?
12/55
Three letters picked without replacement from wuwwuwswwwjsuswjssww. What is prob of picking 2 j and 1 s?
1/228
Three letters picked without replacement from {t: 1, l: 2, a: 1, s: 4, f: 4, n: 2}. What is prob of picking 2 s and 1 t?
3/182
What is prob of picking 1 t and 1 y when two letters picked without replacement from tmowyottttwtmoaoy?
3/34
Two letters picked without replacement from egdfeggcfdekfddc. Give prob of picking 1 g and 1 f.
3/40
Four letters picked without replacement from yvddghgvp. What is prob of picking 1 g, 1 v, 1 d, and 1 h?
4/63
Three letters picked without replacement from pmspppppmzsplzpspmp. Give prob of picking 1 p and 2 m.
10/323
What is prob of picking 2 f, 1 n, and 1 h when four letters picked without replacement from {h: 1, n: 1, f: 11}?
1/13
Calculate prob of picking 1 j, 1 x, and 1 m when three letters picked without replacement from {m: 1, j: 3, x: 1, i: 1, e: 1}.
3/35
Calculate prob of picking 2 e and 1 p when three letters picked without replacement from {n: 1, e: 9, p: 10}.
6/19
Two letters picked without replacement from wrwrrrrwrr. What is prob of picking 2 r?
7/15
Three letters picked without replacement from {d: 1, c: 3, j: 1, b: 9, q: 2, r: 3}. What is prob of picking 1 j, 1 c, and 1 r?
3/323
Four letters picked without replacement from {n: 7, f: 7}. Give prob of picking 4 n.
5/143
Calculate prob of picking 1 x and 2 s when three letters picked without replacement from sohvxvvsvvhohvtshv.
1/272
What is prob of picking 1 m, 1 s, and 2 l when four letters picked without replacement from llllmmllsl?
1/5
Four letters picked without replacement from {e: 4, t: 3}. What is prob of picking 4 e?
1/35
Two letters picked without replacement from ujddvxjddbdxdxvduuj. What is prob of picking 1 u and 1 j?
1/19
Two letters picked without replacement from {j: 6, z: 1, q: 1, w: 3, v: 2}. Give prob of picking 1 q and 1 v.
1/39
Three letters picked without replacement from {j: 4, s: 2}. Give prob of picking 3 j.
1/5
What is prob of picking 1 q and 2 s when three letters picked without replacement from {q: 3, x: 4, s: 2, m: 1, l: 4}?
3/364
Three letters picked without replacement from {q: 1, l: 1, o: 1, p: 1, g: 2, d: 1}. Give prob of picking 2 g and 1 p.
1/35
Three letters picked without replacement from {s: 4, f: 6, g: 3}. Give prob of picking 2 s and 1 f.
18/143
Two letters picked without replacement from {p: 2, u: 2, z: 4, t: 2, w: 2}. Give prob of picking 2 u.
1/66
Four letters picked without replacement from {e: 14, g: 1}. Give prob of picking 1 g and 3 e.
4/15
Calculate prob of picking 1 e and 2 f when three letters picked without replacement from {f: 2, e: 5, y: 7, l: 2, w: 4}.
1/228
What is prob of picking 1 a and 1 q when two letters picked without replacement from aqqaqaqaqauqq?
35/78
What is prob of picking 1 v and 1 c when two letters picked without replacement from cdvvvvvvvvvvdv?
11/91
What is prob of picking 3 z and 1 m when four letters picked without replacement from {m: 1, c: 4, z: 3}?
1/70
What is prob of picking 1 h and 1 o when two letters picked without replacement from {m: 3, e: 1, o: 1, q: 1, h: 1}?
1/21
Four letters picked without replacement from ifiiiindd. What is prob of picking 1 i, 1 f, 1 d, and 1 n?
5/63
What is prob of picking 2 k when two letters picked without replacement from dkdddkddddd?
1/55
Four letters picked without replacement from {q: 1, j: 3, i: 6, n: 2}. What is prob of picking 2 j and 2 i?
1/11
Four letters picked without replacement from gtgggggggtggtgggttgg. What is prob of picking 4 g?
91/323
Calculate prob of picking 4 k when four letters picked without replacement from {i: 2, v: 3, b: 1, m: 2, k: 6}.
15/1001
What is prob of picking 1 q, 1 t, and 1 f when three letters picked without replacement from frfkrfffttffkftkrq?
1/34
What is prob of picking 1 m, 1 r, and 1 t when three letters picked without replacement from hththhmmhtrmhhhhr?
9/340
Two letters picked without replacement from {t: 1, h: 2}. Give prob of picking 2 h.
1/3
Two letters picked without replacement from {d: 4, y: 3, l: 1, o: 5, z: 2, c: 5}. What is prob of picking 1 d and 1 c?
2/19
What is prob of picking 2 q and 2 j when four letters picked without replacement from jjjjjjjqjqjjjjjjjjj?
2/57
Two letters picked without replacement from {i: 5, l: 11}. What is prob of picking 2 i?
1/12
Two letters picked without replacement from {j: 1, t: 1, p: 1, m: 1, f: 1, x: 2}. Give prob of picking 1 t and 1 x.
2/21
Calculate prob of picking 2 w when two letters picked without
|
{
"pile_set_name": "DM Mathematics"
}
|
te -2*h*m + 8320*h*p**2 + 11*m*p**2 - 29*m*p - 2 wrt m.
-2*h + 11*p**2 - 29*p
Find the second derivative of v**3*z**2 - 4349*v**3*z - 2*v**2*z**2 - 7*v*z**2 - 2897*v*z + 2*v wrt v.
6*v*z**2 - 26094*v*z - 4*z**2
Differentiate -13410*d**2*i**3 + 8*d**2*i**2 + d**2 + 14765*d - 4 with respect to i.
-40230*d**2*i**2 + 16*d**2*i
Find the second derivative of 138324*s**3 + 3*s - 22092.
829944*s
Find the second derivative of 1478550*i**3 + 567276*i.
8871300*i
Find the first derivative of 64*t**2*y**3 + 92*t**2*y + 11791*y**3 - 2*y**2 + 8 wrt t.
128*t*y**3 + 184*t*y
Differentiate -504570*r**3*x + 7*r**3 + 5*r**2 + 484*r + 2 wrt x.
-504570*r**3
Find the third derivative of -2158*p**3*t**3 + 2*p**3*t**2 + 6*p**3 - p*t**3 - 2*p*t - 787*t**2 wrt t.
-12948*p**3 - 6*p
What is the second derivative of 2237*h**4 - 2*h**3*x - 29*h**2*x + 5*h + 102926*x wrt h?
26844*h**2 - 12*h*x - 58*x
What is the second derivative of 71*u**3*z**3 - 195*u**2*z**2 - 74*u*z**2 - 2*u + 9*z**3 + z**2 wrt u?
426*u*z**3 - 390*z**2
What is the third derivative of 1219016*c**3 + 2331559*c**2 wrt c?
7314096
What is the third derivative of -2*m**6 + 42*m**5 - 51*m**3 - 105*m**2 - 252*m wrt m?
-240*m**3 + 2520*m**2 - 306
Differentiate -889062*t*w - 718416*t with respect to w.
-889062*t
Find the second derivative of -3*f**2*l**2 + 24*f**2 - 32428*f*l**3 - 2*f*l - f + 23*l wrt l.
-6*f**2 - 194568*f*l
Find the second derivative of -b*s**2*y**2 + 74*b*s*y + 2*b*y**2 + 616*s**2*y**2 + 3*s**2*y + 33*s**2 wrt y.
-2*b*s**2 + 4*b + 1232*s**2
Find the second derivative of 4438*d**4*g + 6*d**3*g + d**2 - 6877*d - 5*g wrt d.
53256*d**2*g + 36*d*g + 2
Find the second derivative of -15340*t**2 - 55*t + 152.
-30680
Find the first derivative of 93*v**4 - 373*v**3 - 3*v**2 - 778810 wrt v.
372*v**3 - 1119*v**2 - 6*v
Differentiate 225*k*p*w + 32*k*p - 112*k*w - 3*p*w - 4*p + 412*w with respect to p.
225*k*w + 32*k - 3*w - 4
Find the third derivative of d**4 + 16245*d**3 - 2*d**2 + 3382*d - 3.
24*d + 97470
What is the first derivative of 38444*t + 72193 wrt t?
38444
What is the second derivative of 2*h**4*n + 5*h**2*n - 1314*h**2 - 11*h*n + 52*h + 3*n + 58 wrt h?
24*h**2*n + 10*n - 2628
Differentiate -3*y**2 - 7443*y - 733159 wrt y.
-6*y - 7443
What is the first derivative of 261471*m*s*x**2 + m*s + 236*m*x**2 + m + 302*x**2 + 2 wrt s?
261471*m*x**2 + m
Differentiate -50*i**3 + 4*i**2 - 467*i - 494867 with respect to i.
-150*i**2 + 8*i - 467
What is the second derivative of -1244928*y**4 + 7*y + 75181 wrt y?
-14939136*y**2
What is the derivative of 11748*b + 72471?
11748
Find the first derivative of 11*u**3 + 1076*u**2 + 12*u - 229991.
33*u**2 + 2152*u + 12
What is the third derivative of 128*o*y**3 - 15*o*y**2 - 10*o*y + 205*o - 6254*y**3 wrt y?
768*o - 37524
What is the first derivative of 20*d**3*z**2 - 507681*d**3 - 12952*z**2 wrt z?
40*d**3*z - 25904*z
What is the second derivative of -2*a**2*k**2*o + 12*a**2*o + 4434*a**2 - 2*a*k**2 - 50*a*k + 12*a*o + 57*k**2*o wrt a?
-4*k**2*o + 24*o + 8868
What is the third derivative of -33731*c**4 + 3*c**3 - 57891*c**2 + c wrt c?
-809544*c + 18
Differentiate -594558*f + 25747.
-594558
What is the third derivative of -1126310*s**4 - 3*s**3 - 275186*s**2 + 6?
-27031440*s - 18
What is the third derivative of 63194*a**4 + 2*a**3 + 14027*a**2 + 3*a + 2 wrt a?
1516656*a + 12
What is the third derivative of 3*h*o*p*q + 38*h*p**3*q**3 + 44*h*p**3 - 5*o**2*p**3*q - o**2*p**2*q + 8733*q**3 - 2*q**2 wrt p?
228*h*q**3 + 264*h - 30*o**2*q
Find the third derivative of -2502827*m**3 + 2622638*m**2.
-15016962
What is the second derivative of 7237495*f**2 - 22*f - 109664?
14474990
What is the third derivative of 52546*o**5 - 2*o**2 + 26*o - 9?
3152760*o**2
What is the derivative of -9*o**2 + 1486*o + 70962 wrt o?
-18*o + 1486
What is the second derivative of 28181*g**2*o**3 - 179*g*o - 2*g + 2*o**3 - 12 wrt g?
56362*o**3
Find the third derivative of 39550*l**3 - 3*l**2 - 4811*l.
237300
Find the second derivative of 221189*s**3 + 207*s.
1327134*s
Find the second derivative of 96704*o**2 - 110277*o wrt o.
193408
Find the third derivative of -71*o**6 + 3*o**5 + 5*o**4 - 28*o**2 - o - 32.
-8520*o**3 + 180*o**2 + 120*o
What is the second derivative of -134*r**5 + 235*r**2 - 4*r - 2989?
-2680*r**3 + 470
Differentiate 178043*c**4 - c - 5035900 with respect to c.
712172*c**3 - 1
What is the second derivative of f**5*r + 7678*f**4*r - 222*f*r - 11*r wrt f?
20*f**3*r + 92136*f**2*r
Find the second derivative of 668478*b**2*n - 9*b*n + 297*b + 16*n wrt b.
1336956*n
What is the third derivative of 2*d*s**3*y + 10149*d*s**3 + d*s**2 - 2*d*s + 78*d*y + 9*s**3*y - s**2*y + 13*s**2 wrt s?
12*d*y + 60894*d + 54*y
Find the second derivative of 58*b**3 - 67*b**2 - 4888*b + 63.
348*b - 134
Differentiate o**3 - 2*o**2 + 587040*o - 2200353 wrt o.
3*o**2 - 4*o + 587040
Find the third derivative of d*f*g**4 - 3*d*f*g**3 - 28*d*f + 3*d*g - 12*f*g**3 - 2*f*g + 9*g**3 - 13*g**2 - 2*g wrt g.
24*d*f*g - 18*d*f - 72*f + 54
What is the third derivative of -76*p**5 + 4*p**4 + 164*p**3 - 248514*p**2 - 4?
-4560*p**2 + 96*p + 984
What is the second derivative of 3572*p**4 - 264*p - 200?
42864*p**2
Find the second derivative of -4*a**2*d**3 + a**2*d - 7*a**2 - a + 4*d**3 + 277*d**2 + 6*d wrt d.
-24*a**2*d + 24*d + 554
Find the second derivative of -1212758*b**2*p + b*p + 22*b + 3325 wrt b.
-2425516*p
Find the third derivative of 216*u**4 - 1213*u**3 - 65053*u**2 + 2 wrt u.
5184*u - 7278
What is the second derivative of 140625*p**2 + 42*p + 385?
281250
Find the second derivative of 32730*b**4 - 17690*b.
392760*b**2
Find the second derivative of 103*d*o**2*s + 45*d*o**2 - 2*d*o*s + 6*d*o + d*s + 6*o**2*s + 95*o*s - 2*s - 3 wrt o.
206*d*s + 90*d + 12*s
What is the second derivative of -5482*l**2*y**2*z - 51*l**2*y*z - 2*l**2 - 10*l*y**2*z + 4*l*y*z + 61*y*z wrt y?
-10964*l**2*z - 20*l*z
Find the second derivative of -28323*s*y**2 + 8*s*y - 234*y wrt y.
-56646*s
Differentiate -14516*q**3 + 2470.
-43548*q**2
What is the third derivative of -188*m**2*s**3 - 232788*m**2*s**2 - 904*m*s**3 wrt s?
-1128*m**2 - 5424*m
What is the third derivative of -5*m**5 + 2066*m**4 - 2*m**3 + 46*m**2 + 259*m?
-300*m**2 + 49584*m - 12
What is the first derivative of -115*l**3 - 16*l*z - 184*z + 4 wrt l?
-345*l**2 - 16*z
Find the first derivative of -42190*l**2 - 3230 wrt l.
-84380*l
What is the derivative of -j*r**2 - 1074936*j*r - j + 1391676 wrt r?
-2*j*r - 1074936*j
What is the third derivative of 960*i**2*q**2*u**3 + 3*i**2*q*u - 14*i**2*u**3 - 16967*i*q**2*u**2 wrt u?
5760*i**2*q**2 - 84*i**2
What is the second derivative of 5648*c**2*k**3*p**2 + 5*c**2*k**3*p - 17*c*k**3*p - c*k**3 - 283*c*k*p**2 wrt c?
11296*k**3*p**2 + 10*k**3*p
Find the third derivative of 1366237*q**3 + 338908*q**2 - 3*q + 2 wrt q.
8197422
Find the second derivative of -1612*j**3*y**5 + 5*j**3*y - 11*j**3 + 167*j**2 - 145*y**5 wrt y.
-32240*j**3*y**3 - 2900*y**3
Find the third derivative of -31*b**3*n**2 - 5096*b**3*n*v + 4*b**2*n**2*v - 11888*b*v wrt b.
-186*n**2 - 30576*n*v
What is the third derivative of 8078*k**3*l**2*t + 3*k**3*l**2 - 23*k**2*l**2*t + 2*k**2*l + 46*k**2 + l**2*t wrt k?
48468*l**2*t + 18*l**2
What is the derivative of -438712*i*m**2*v + 18769*m**2 + 11*v wrt i?
-438712*m**2*v
What is the second derivative of 476*r**3 - 228*r**2 + 70*r + 11012 wrt r?
2856*r - 456
Find the third derivative of -426*p**3*t**3 + 807*p**3*t + 24*p**2*t**3 - 2*p**2*t**2 + 14001*p*t**3 wrt p.
-2556*t**3 + 4842*t
Find the third derivative of -4085*y**5 + 12*y**3 + 6*y**2 - 4444*y wrt y.
-245100*y**2 + 72
What is the second derivative of 2*l*y**3 + 2*l*y**2 + 27*l*y + 172*l - 10487*y**3 wrt y?
12*l*y + 4*l - 62922*y
Find the second derivative of -21757*d**4*x**3 - 310*d*x - 15*x**3 wrt d.
-261084*d**2*x**3
Differentiate 5*h**4*v**3 + 736*h*v**3 + 8*h*v - 142*v**3 - v**2 - 614*v with respect to h.
20*h**3*v**3 + 736*v**3 + 8*v
What is the derivative of -450230*q**3 + 889088 wrt q?
-1350690*q**2
Find the second derivative of 155*d**2*y**2 - 4*d**2*y - d**2 - 4*d*y**2 - 170*d*y - d + 4 wrt d.
310*y**2 - 8*y - 2
Differentiate 634*k**3*s**2 + k**3 + 42*k**2*s**3 + 17*k - 128 wrt s.
1268*k**3*s + 126*k**2*s**2
Find the second derivative of -3*c**2*q**2 + 618*c**2*q - 30*
|
{
"pile_set_name": "DM Mathematics"
}
|
ors of (-1 + (-5 - -4))*b?
2, 3, 11
Suppose 0 = -3*v + 3. What are the prime factors of (-1)/(-2)*(-128)/(-2*v)?
2
Suppose -2*q = -7*q - 5*k + 210, 20 = -4*k. Let z(l) = -76*l**3 + l + 1. Let r be z(-1). Let o = r - q. List the prime factors of o.
29
Let u = -1616 + 2686. List the prime factors of u.
2, 5, 107
Let p(y) = 4*y**3 + 4 + 11*y**2 - 5*y**3 + 3*y + 8 + 9*y. List the prime factors of p(12).
2, 3
Let i(o) = -o**3 - 17*o**2 - 11*o + 9. List the prime factors of i(-18).
3, 59
Let j(d) = 44*d**3 - d**2 - 2*d + 3. Let u be j(1). Suppose 49*n - u*n = 330. What are the prime factors of n?
2, 3, 11
Suppose d - 12 = -5*g, 5*g = 3*d - 21 + 5. List the prime factors of d.
7
Let c be (-72)/(-10)*(0 + 5). Let s = c + 33. What are the prime factors of s?
3, 23
List the prime factors of ((-364)/(-8))/(2/28) - 3.
2, 317
Let m(t) be the first derivative of 2*t**3/3 + 3*t + 8. List the prime factors of m(-8).
131
Let t be 72*(2 + 10/(-15)). What are the prime factors of t - -2 - 0/4?
2, 7
Let c(r) = 5*r - 4. Let d be c(5). List the prime factors of 0 + d + 2/(-2*1).
2, 5
Suppose 8*w = 5*w + 18. Suppose w*s = -17 + 401. List the prime factors of s.
2
What are the prime factors of (24/6 + -4)/4 - -1114?
2, 557
Suppose 725 = 4*x - 587. List the prime factors of x.
2, 41
Suppose -6*u - 68 - 124 = 0. Let l = -30 - -71. Let m = u + l. What are the prime factors of m?
3
Suppose 197 = 4*h - g, 5*g - 265 = -13*h + 8*h. List the prime factors of h.
2, 5
Let z be (-3 + 4 + 0)/(2/(-658)). Let c = 627 + z. What are the prime factors of c?
2, 149
Let d be (-10)/4*(-16)/10. Suppose -d*i - 8*i + 1488 = 0. What are the prime factors of i?
2, 31
Let r = 8344 + -4705. List the prime factors of r.
3, 1213
Let r(b) be the third derivative of -11*b**4/24 - 4*b**3/3 + 37*b**2. What are the prime factors of r(-6)?
2, 29
Suppose -4*o + 491 = 71. Let k be (42/o)/(2/20). Suppose k*v = 34 + 74. List the prime factors of v.
3
List the prime factors of (-555)/(-5) + -2 + 6 + 0.
5, 23
Let i = 1801 + -1355. What are the prime factors of i?
2, 223
Suppose -31 + 0 = -z. Let k = z - 26. List the prime factors of k.
5
Suppose -48*w - 46584 = -127272. List the prime factors of w.
41
Let q = 9 + -5. Suppose s + q*o = -1, o + 3*o = -4. Suppose i - 14 = -5*m, -s*i - 5*m - 34 = -96. What are the prime factors of i?
2, 3
Let v(k) = -k**2 - 40*k + 46. List the prime factors of v(-33).
277
Let k(b) = 2*b**3 + 2*b**2 - 1. Let o be k(1). Suppose -83 = -o*x + 145. Suppose t - x = -3*t. List the prime factors of t.
19
Let b(d) = d**3 - 13*d**2 - 7*d - 5. Let k be b(14). Suppose 138 + k = 3*f. What are the prime factors of f?
7, 11
Let a = 3267 - 2141. What are the prime factors of a?
2, 563
Let w = 45 + -36. Let o(g) = 7*g + 12. List the prime factors of o(w).
3, 5
Let g(v) = -6*v + 175. List the prime factors of g(-34).
379
Let i = -768 + 1194. List the prime factors of i.
2, 3, 71
Suppose o + 40 = 4*a, -4*a - o + 32 = -0*o. Suppose 3 + a = x. What are the prime factors of x?
2, 3
Let n(l) = -l - 5. Let p be n(-4). Let a(c) = -27*c**2 - 10*c + 7. Let y(m) = 18*m**2 + 7*m - 5. Let q(x) = -5*a(x) - 7*y(x). List the prime factors of q(p).
2
Suppose 3*n + p + p - 32 = 0, 4*n - 5*p - 35 = 0. Suppose -z - 2*z = o - 4, 0 = o + 5*z - 2. Suppose -l + o = -n. List the prime factors of l.
17
Let c = 15 - 12. Suppose c*b - 4*b + 30 = 0. Suppose p + p = b. What are the prime factors of p?
3, 5
Let z be 0/(-2 - 3*-2). Suppose -2 + z = -t. Suppose 100 = 3*y + t*y. List the prime factors of y.
2, 5
Let q be (-3 - -1)/(-2 - -4). Let h = q + 4. Suppose -h*y + 36 = 3*y. What are the prime factors of y?
2, 3
Let c(t) = t + 7. Let x be c(-13). Let v = 11 + x. Suppose 3*k - v*k + 185 = 5*s, -2*s + 65 = -k. What are the prime factors of s?
5, 7
Let d = 350 - 130. Suppose 0 = -2*n - d. What are the prime factors of (156/(-10))/(33/n)?
2, 13
Let y(w) = w**3 - 8*w**2 + 11*w - 6. Let a be y(7). Let x = 19 - 17. Suppose 3*o + 2*k - 53 = 0, -2*o + 4*k = x*k - a. List the prime factors of o.
3, 5
Let v = -673 - -1190. List the prime factors of v.
11, 47
Let f be 3/(12/28) + (-2 - 0). Suppose -f*z + 915 = -5*b, -2*z + 368 = -0*b - b. What are the prime factors of z?
5, 37
Suppose 8 = 12*j - 10*j. What are the prime factors of (-26)/j*-6*(1 - -2)?
3, 13
Let j be 2/(-1) - -2*3. Suppose -2*s + 6 = 5*t, -3*s + 2*s + 3 = -j*t. Suppose s*x = -0*x + 48. List the prime factors of x.
2
Suppose 3*c - f + 148 = 0, -5*f = c + 41 + 3. Let n = c + 76. What are the prime factors of n?
3
Suppose 4*w = -0 - 12, -5*a - w = -22. Suppose 0*z - 12 = -5*z - 3*j, -3*z + 20 = a*j. Suppose 0 = -4*f - z*f + 36. What are the prime factors of f?
3
Suppose 0*t = -5*t - 515. Let g = t - 67. Let b = -121 - g. List the prime factors of b.
7
Let m = -139 + 1133. List the prime factors of m.
2, 7, 71
Suppose -8*o + 4*o + 24 = 3*b, 5*b - 75 = 5*o. Let m = -8 + b. Suppose -x + 38 = -5*j, -x + 7 = -m*j - 26. What are the prime factors of x?
13
Let q(s) = 7*s + 10. Let r be q(6). Suppose -26 - r = z. List the prime factors of z/(1 - (5 - 2)).
3, 13
Suppose c + 8*c - 2952 = 0. Suppose -3*q + 5*g = -c, 0 = q + 3*g - 86 - 14. What are the prime factors of q?
2, 53
Let a = -13 - 67. What are the prime factors of (-6)/(-4)*-2 - (a + 1)?
2, 19
Suppose 1339 - 118 = -11*m. Let f = 57 - m. List the prime factors of f.
2, 3, 7
Suppose b + 10*b + 1551 = 0. List the prime factors of 13 - b - (-4)/(-2).
2, 19
Let i = -431 + 1493. List the prime factors of i.
2, 3, 59
Let p = 1149 + -640. What are the prime factors of p?
509
Suppose -328 - 603 = -7*d. What are the prime factors of d?
7, 19
Suppose 0 = -5*t - 25, -g + 5*t = 296 - 1992. List the prime factors of g.
3, 557
Let d be (12/(-9))/((-2)/12). Let c = d - 6. Suppose 2*r = -c*r + 20. List the prime factors of r.
5
Let j(v) = -v**3 + 12*v**2 + 20*v - 14. What are the prime factors of j(-8)?
2, 7, 79
Let o(f) = -3*f - 6. Let y be o(-3). Suppose -34 = 2*l - y*l. List the prime factors of l.
2, 17
Let v = 2112 - 1143. List the prime factors of v.
3, 17, 19
Let t(v) = -6 + v + 3 + 10 + 3. Let o be t(-11). List the prime factors of (559/65)/(o/(-5)).
43
Suppose -3*v = -3*i - 9, v - 5 = -0*i - i. Let h(d) = 4*d + 3. Let a be h(1). Suppose 0 = c + 2*g + v, 0 = 2*c + 3*g - 2*g - a. List the prime factors of c.
2, 3
Let x(h) = -6*h + 2. Suppose -8 = 6*d - 2. Let o be x(d). Let u = 52 - o. What are the prime factors of u?
2, 11
Let w be 2626/14 - 69/(-161). What are the prime factors of w/8*(-12)/(-3)?
2, 47
Let n be 42*((-2)/3 - 0). List the prime factors of 48/(-20)*(n + 3).
2, 3, 5
Let j(l) = 5*l**2 - l + 80. What are the prime factors of j(8)?
2, 7
Let l(y) = 26*y**3 - 5*y**2 + 4*y + 14. Let f be l(-4). What are the prime factors of (f/(-24))/(3/8)?
2, 97
Suppose 11*b = 321 + 1857. What are the prime factors of (-66)/11*(-1)/(-2) + b?
3, 5, 13
Let s be (-3)/(-9) + 70/15. Suppose -s*q = -o + 1 + 1, 0 = 5*o - 2*q - 10. List the prime factors of o.
2
Let v = -494 - -657. What are the prime factors of v?
163
Suppose 0 = -a - a + 6. Suppose 4 = 5*v - a*v. List the prime factors of 55/v + (-15)/(-10).
29
Suppose -5*m + 24 = -2*w, 0*w - w - 27 = -5*m. Suppose m*s = s. Let l = 11 - s. List the prime factors of l.
11
Suppose -5*u + 6*u = -4*h + 4775, -2*h + 2365 = 5*u. List the prime factors of h.
5, 239
Suppose -2*v - v = 15, 2*g = v + 5. Suppose -7*t = -9*t + 536. Suppose g = -5*q + q + t. List the prime factors of q.
67
Let d = -22 - -44. List the prime factors of d.
2, 11
What are the prime factors of 704/2*(90/9 - -1)?
2, 11
Let x = 203 - 118. What are the prime factors of x?
5, 17
Let v(h) = -3*h + 5*h - 4*h + 2 + 3*h. Let k be v(-2). Let c(l) = l + 10. What are the prime factors of c(k)?
2, 5
Let g(q) = 74*q**3 - q + 2. Let f be g(1). Let s = f + -54. What are the prime factors of s?
3, 7
Let f be (104/32)/(2/32). Let u = 94 - f. List the prime factors of u.
2, 3, 7
Let b(s) be the second derivative of s**4/12 + s**3 + s**2 + 10*s - 3. Suppose -2*m - 2 = j + 11, 0 = 3*j - 5*m + 6. List the prime factors of b(j).
3
Suppose 0 = -3*v + 5*v + 2. Let x(t) = 27*t + 42. Let j be x(-4). What are the prime factors of v + 4 - (j + 17)?
2, 13
What are the prime factors of 3 - (-50)/(-15) - (-126364)/21?
11, 547
Suppose 0 = 110*h - 104*h -
|
{
"pile_set_name": "DM Mathematics"
}
|
b(l) = -7*l - 2. Let j be b(-11). What is the greatest common factor of r and j?
25
Suppose -289*f = -284*f - 75. What is the highest common factor of f and 24?
3
Let v = -5 - -14. Let j(i) = -2*i + 24. Let g be j(v). Calculate the greatest common divisor of 2 and g.
2
Suppose 10*u = 8*u + 6. Suppose 4*c - 27 = -u*z, -5*z = 5*c - c - 45. Calculate the highest common divisor of 36 and z.
9
Let r = 53 + 1817. Calculate the highest common divisor of 110 and r.
110
Suppose 3*g = 6*g - 63. Suppose -5*f - 1 = -11. Suppose -945 = -f*c - 3*c. Calculate the greatest common factor of g and c.
21
Let r = 51 + 34. Suppose 6*d = d + r. Suppose -d = -z - c + 9, -z + 4*c = -16. What is the highest common divisor of 16 and z?
8
Suppose 3*n - 21 = 2*v, 3*v + 0*n - n + 21 = 0. Let t(g) = -g - 8. Let q be t(7). Let b be 98/5 + v/q. What is the highest common factor of 180 and b?
20
Suppose 0 = -4*o + 5*x + 157, 2*x + 76 = -0*o + 2*o. Let r = -32 + o. What is the highest common factor of 5 and r?
1
Let b(r) = -r**2 + r + 1. Let p be b(3). Let y be (-10)/75*p*189. Calculate the greatest common factor of y and 18.
18
Let l(i) = 11*i + 34. Let v be l(7). Let c = 159 - v. Calculate the highest common divisor of 64 and c.
16
Let c be 24/((48/(-16))/(52/(-2))). What is the greatest common factor of c and 48?
16
Suppose 6*r = 4*r + 4. Let y(l) = -3 - r*l + 8*l**2 + 8*l**2 + 3 - 1. Let o be y(1). What is the highest common divisor of o and 65?
13
Suppose -j = -5*h + 72 + 81, -3*h = -3*j - 99. Calculate the highest common divisor of h and 435.
15
Let k(x) = 2*x**3 + 33*x**2 + 8*x. Let j be k(-16). Calculate the greatest common factor of 2 and j.
2
Let z = -60 - -124. Let t = -15 + z. What is the highest common factor of t and 7?
7
Let u = -20 + 34. Let x be -3 + (-58)/(-20) - (-141)/10. What is the highest common divisor of x and u?
14
Let t(b) = b**2 - 8*b - 25. Let j be t(12). Calculate the greatest common divisor of j and 184.
23
Suppose 117 = 2*f + 3*o, 2*o - 3*o - 5 = 0. Suppose 3*d = 4*z + 189, 7*d - 195 = 4*z + 2*d. Let y = f + z. What is the highest common factor of y and 3?
3
Let m(n) = 45*n - 6. Let l be m(1). Let y be 1/(-3)*l*-1. What is the highest common divisor of 65 and y?
13
Let p = -9 - -11. Suppose -7 + 1 = o + j, -p*o = -j. Let w(c) = c**2 + c + 1. Let v be w(o). Calculate the highest common factor of 3 and v.
3
Let a = 269 - 119. Calculate the highest common factor of a and 20.
10
Suppose 104 - 14 = 18*k. Suppose -66 = -q + 18. Let j = q + -39. Calculate the highest common factor of j and k.
5
Let h be ((-24)/(-10))/((-30)/(-75)) + 78. Calculate the highest common factor of h and 210.
42
Let l(u) = 20*u**2 + u - 6. Let m be l(2). Let s = -70 + m. Let o be 73/4 + (-1)/4. Calculate the greatest common divisor of s and o.
6
Let w be 1/(-2)*(-1 - 3). Suppose 2*k + w - 4 = 0. What is the greatest common factor of 1 and k?
1
Suppose -3*x = 5*x + 120. Let o(b) = b**2 + 13*b + 22. Let c be o(x). What is the greatest common divisor of c and 104?
52
Let r = -816 - -855. Calculate the highest common divisor of 299 and r.
13
Let x be 37/2 - (15/(-10) + 0). Calculate the highest common divisor of 620 and x.
20
Suppose -34*y = -514 - 234. Calculate the highest common divisor of y and 319.
11
Let g(d) = 16*d**2 - 127*d + 6. Let k be g(15). What is the greatest common factor of k and 126?
63
Let s = -1791 + 2011. Calculate the greatest common divisor of 22 and s.
22
Suppose 26 = -4*r + 3*a + 6, 0 = -2*r + 5*a - 24. Let w be 2*r/(-8)*(-210)/(-15). What is the greatest common factor of 7 and w?
7
Let a(r) = -r**3 - 4*r**2 - 1. Let d be a(-8). Suppose -4*v = p - d, -5*v - 4*p - p = -300. Calculate the highest common factor of 13 and v.
13
Let o be 392/(8/2) + 0. Let b(f) = 49*f**3 - f. Let k be b(1). Let n = o - k. Calculate the highest common factor of n and 20.
10
Suppose 0 = -4*l - l. Suppose 6*y - 7*y + 1 = l. Suppose y = -o + 13. Calculate the highest common factor of 108 and o.
12
Let r(l) be the third derivative of -11*l**2 + 0 - 1/4*l**4 - 11/3*l**3 + 0*l. Let i be r(-11). Calculate the highest common factor of i and 4.
4
Let w be (-14)/(-7) + 2 + 315/1. Let g be -1*(4/2 + -31). Calculate the highest common divisor of g and w.
29
Suppose -470 = 5*f - 1410. What is the highest common divisor of f and 235?
47
Let h be (4 - 9)*-9*1. What is the greatest common divisor of 72 and h?
9
Let i(z) = -z - 2*z + 3*z + 2*z + 2. Let a be i(2). Let n = -51 + 99. Calculate the highest common factor of n and a.
6
Suppose -2*b + 15 = -j, 0 = -2*j - 7*b + 2*b - 12. Let m be j/(-3*3/9). What is the highest common factor of 1 and m?
1
Let q be 2/(-2)*(-8)/4. Let n be 81 - ((-4)/(-2))/q. Let c = 63 - 31. Calculate the highest common divisor of n and c.
16
Let r = -28 - -32. Suppose 0 = -5*l - u + 12, 5*l + 6*u = u. Suppose 4*g - h - 63 = 0, l*h - 4*h = 4*g - 65. What is the greatest common divisor of g and r?
4
Let h(u) = u**2 + 2*u + 12 + 5 + 17 - 26. Let q be h(-4). Calculate the highest common factor of q and 144.
16
Let z = -36 - -46. Calculate the highest common factor of z and 6.
2
Suppose -4*h = -2*h - 40. Suppose 4*f - h = -4. Suppose 5*b - 2*y - 5 = 183, 2*y = b - 44. What is the greatest common factor of f and b?
4
Let x be (3 - -75) + 3 + -3. What is the greatest common divisor of 507 and x?
39
Let f be (-4 - 14/(-4))*-792. What is the highest common factor of f and 44?
44
Let o(c) = -7*c**3 - 48*c**2 - 4*c - 33. Let w be o(-7). What is the highest common factor of w and 11?
11
Let u = -72 - -77. Let x(g) = 3*g - 1. Let s be x(2). What is the highest common factor of u and s?
5
Let o = 75 + -73. Calculate the highest common divisor of 13 and o.
1
Suppose 3*y = 5*a - 154, -4*y = 5*a - 8*a + 99. Suppose 29 = 12*x - 11*x. Calculate the greatest common factor of x and a.
29
Let j(s) = -s**2 + 4*s - 1. Let o be j(11). Let c(g) = -162*g**2. Let m be c(-1). Let u = o - m. Calculate the greatest common divisor of 12 and u.
12
Let r(d) = d**3 - 6*d**2 - 23*d + 15. Let l be r(9). Suppose -k + 38 = 2*o - 0*k, 3*k = -3*o + l. What is the greatest common divisor of o and 14?
7
Suppose p = 2*v + 9, v + 18 = p + 4*p. Suppose z = 4*n + 35, z = -z + 2*n + 58. What is the greatest common factor of z and p?
3
Let m(o) = 13*o - 2. Let f be (-1 - 2)*6/(-18). Let b be m(f). Let j = b - -25. What is the greatest common factor of 4 and j?
4
Let t(l) = -2*l**3 - 5*l**2 - 5*l - 2. Suppose -p - 6 = 2*y + 2, -5*p = 0. Let o be t(y). Calculate the greatest common divisor of 6 and o.
6
Let l = -52 - -49. Let c be (l - -7)*49/14. Suppose 4*m = -0*m + 28. Calculate the greatest common factor of m and c.
7
Let n = -19 + 29. Suppose -2*a + n = 2. Suppose 2*k - 36 = -a*c + 6*k, 0 = 5*c + 5*k + 5. Calculate the highest common divisor of 1 and c.
1
Let w(q) = -3*q - 37. Let r be w(5). Let k = 69 + r. What is the greatest common factor of 68 and k?
17
Suppose 14*g - 5*w = 16*g - 80, 2*g + w = 80. What is the greatest common factor of g and 60?
20
Suppose 184 = 4*r - 4*v, 0 = -5*r - 0*r + v + 222. What is the highest common divisor of 4 and r?
4
Let r be 2*5/(-8)*-4. Suppose 4*g - 5*s - 85 = 0, r*g - 3*s - 95 = s. What is the greatest common factor of 5 and g?
5
Let k(o) = o**3 + 14*o**2 + 27*o + 41. Let u be k(-12). What is the greatest common divisor of u and 130?
5
Suppose 4*l + 4 = 184. Suppose 4*v = 5*z + 27 + 9, 5*v + 2*z = l. Suppose -2*q + v + 11 = 0. What is the highest common divisor of q and 110?
10
Let t be 27/6 - (-3)/(-6). Suppose t*g + 0*y - 651 = 3*y, -g + 165 = -3*y. Suppose 0 = 10*h + 3*h - 234. What is the greatest common factor of h and g?
18
Let t(m) = -23*m - 2. Let f be t(-4). Let a = -265 + f. Let g be a/(-15) + 1/3. Calculate the highest common divisor of 84 and g.
12
Suppose -4*t = t + 3*s - 46, 20 = 2*t + 2*s. Let i = 12 - 8. What is the highest common factor of t and i?
4
Let p = -113 - -338. What is the greatest common divisor of p and 825?
75
Suppose 2*l - 282 = 4*u, 3*u - 207 = -4*l + 368. Suppose 5*n - 3*h - 53 = 0, 0 = -5*h + h + 16. What is the greatest common factor of n and l?
13
Let d = 201 - 96. Suppose 1 = -m - 0. Let p be 48/3 + (-2 - m). Calculate the highest common factor of d and p.
15
Suppose -4*h = -2*f - 30, 4*h - 27 = h - 3*f. Suppose 3*k + 384 = 93. Let q =
|
{
"pile_set_name": "DM Mathematics"
}
|
/2). Put i, -2, 2, -1 in increasing order.
i, -2, -1, 2
Suppose -2*k + 13 = 3*t, -4*k = -0*k + 4*t - 24. Sort 1/4, 1/2, k in descending order.
k, 1/2, 1/4
Suppose 2*q - 12 = -s + 4, -5*q - 5*s + 30 = 0. Suppose 0 = q*v - 12*v. Sort 5, -1, v.
-1, v, 5
Let h be 128/60 - 4/2. Let a = h - 29/105. Put a, 1, -4/5 in ascending order.
-4/5, a, 1
Let h(j) = -j - 9. Let b be h(-8). Let v = 3 - 0. Sort 1, b, v.
b, 1, v
Let w = -1.46 - 0.54. Put w, 4, 2 in increasing order.
w, 2, 4
Suppose -18 = -5*j + 2*j - o, -j - 7 = -4*o. Suppose -j*a = 6*r - r + 25, -5*r - 11 = -2*a. Let u be (-4)/(-18) + (-6)/27. Sort r, 2, u in decreasing order.
2, u, r
Let l(q) be the second derivative of q**5/20 + 7*q**4/12 - 5*q**3/3 - 6*q**2 - q. Let h be ((-72)/27)/((-2)/(-6)). Let v be l(h). Sort v, 2, -4.
-4, 2, v
Let n(u) = 0 + 0 - 1 + 6*u**3 - 3*u**3 + 2*u. Let h be n(1). Suppose w = 5*w + h. Sort w, 0, 1 in descending order.
1, 0, w
Let p be 5/(-15) - 40/(-3). Suppose -12 = 5*w + p. Sort w, 1, -2 in decreasing order.
1, -2, w
Let z = -21 + 16. Sort z, -4, 2 in decreasing order.
2, -4, z
Let c = 13 - 12. Suppose -o + 3 = -0*o. Let x(l) = l**2 - 8*l + 7. Let g be x(7). Sort g, c, o in descending order.
o, c, g
Let r = -1 - 2. Sort r, -6, 3 in decreasing order.
3, r, -6
Let h be (2/(-3))/(8/(-12)). Suppose -4*t = -z - 20, 4*t - z - 20 = 3*z. Sort h, t, -3 in ascending order.
-3, h, t
Suppose -3*q - 12 = -3*i, -4*q = -q - i + 14. Sort q, 5, -4.
q, -4, 5
Suppose -45 = -4*m - w + 11, 23 = m - 2*w. Let n be 11/(-3) + (-5)/m. Let b(k) = k**2 - 9*k + 1. Let q be b(9). Sort q, -1, n in ascending order.
n, -1, q
Let c = 0.1 - 0.4. Sort 3, c, -0.4 in decreasing order.
3, c, -0.4
Let t be (-2 - (-2 - 0))/2. Suppose 0 = 5*b + 5, t = -3*x - 4*b + 3*b + 11. Let g be x/(-10) + 16/(-60). Put 3, g, 5 in descending order.
5, 3, g
Let p be (-51)/(-9) + (0 - 4/6). Put -6, -0.4, p in ascending order.
-6, -0.4, p
Let f be 710/(-45) + 6/(-27). Let p be 1/3*(-18)/f. Put -3, 2, p in descending order.
2, p, -3
Let m be ((-1)/3)/(8/(-24)). Put -5, m, 3 in decreasing order.
3, m, -5
Let n = 3 + -1. Suppose 0 = 4*h - 4*a - 16, 3*h + n*a + 4 = h. Put 3, h, 4 in descending order.
4, 3, h
Let m(a) = 2*a**3 - 5*a**2 + 6*a - 4. Let t be m(2). Sort -4, -5, t in increasing order.
-5, -4, t
Let z = -351/268 - -4/67. Let v be ((-4)/(-130))/((-1)/(-5)). Sort z, -2/5, v in decreasing order.
v, -2/5, z
Let q(d) = d**3 + 4*d**2 - 3*d - 7. Let g be q(-4). Put 1, g, -3, 3 in ascending order.
-3, 1, 3, g
Let r = -138 - -137. Put -11, r, -1/6 in descending order.
-1/6, r, -11
Let d = -2 - -18. Put 2/9, 1, d in descending order.
d, 1, 2/9
Let p(j) = j**2 + 5*j - 16. Let h be p(-7). Sort h, -5, 2, -3 in descending order.
2, h, -3, -5
Let k be ((-5)/(-2) + -1)*(-24)/(-162). Put 0.5, k, 0.2 in descending order.
0.5, k, 0.2
Let q = 637 + -992. Let h = 2479/7 + q. Let i = -3.91 + -0.09. Put i, 2, h in descending order.
2, h, i
Let i be ((-1)/3)/(2/(-6)). Suppose -5*a + 2*a = 9, 0 = 3*t - 2*a - 6. Let n be t/(5 - (0 + 3)). Sort n, i, -2.
-2, n, i
Suppose -2*k = -4 - 10. Suppose 6*l - 4 = k*l. Let d(x) = x - 1. Let j be d(1). Put -2, j, l in descending order.
j, -2, l
Let f = 0.8 - 7.8. Let y = -9 - f. Sort 0.3, y, -1/4 in decreasing order.
0.3, -1/4, y
Suppose 0 = -5*b - 5*v + 45, b + 0*v = -2*v + 14. Let p = -5 + 5. Suppose -9 = -p*m + 3*m. Put 1, m, b in ascending order.
m, 1, b
Suppose 4*t - 2*n - 16 = -6*n, 0 = -2*t + 5*n - 6. Suppose 0*j = -2*j - 4*x + 14, 9 = 3*j + 2*x. Sort j, t, 5.
j, t, 5
Let c = 3 + -6. Let m be c/(-3) + (-5 - 0). Let q be (-9)/3 + 3 - 3. Put q, 3, m in decreasing order.
3, q, m
Suppose -3*a - 3*c = -18, -2*c - 20 = -3*a - 7*c. Suppose -4 = 2*x, -5*b + 6*b - 3*x - 7 = 0. Sort -3, b, a in increasing order.
-3, b, a
Suppose -2*j - 2*d = -4*j - 12, -5*j = -3*d + 22. Let s = -3 + 4. Put j, 2, s in decreasing order.
2, s, j
Suppose 0 = -3*l + l + 6. Let v be (-18)/l*3/(-45). Put -5, v, 5 in ascending order.
-5, v, 5
Let z(g) = 2*g + 1. Let y be z(-3). Let u = 1.1 - 0.5. Put y, 3, u in increasing order.
y, u, 3
Suppose 7*c + 7 = 35. Put c, 2, -1 in descending order.
c, 2, -1
Suppose 3*w - 13 + 31 = 0. Let y = 7 + w. Sort 4, y, 2 in descending order.
4, 2, y
Let n be (-5)/7 + 6/(-21). Suppose -4*a + 17 = o + a, 4*o = -3*a. Let h be (2 + 2)*(-2)/4. Put n, h, o in increasing order.
o, h, n
Let r = 7 + -12. Let l = r - -10. Put l, -0.1, 1 in decreasing order.
l, 1, -0.1
Let r = 5 + -7. Put -1, -0.3, r in decreasing order.
-0.3, -1, r
Let f(a) = -a**2 - 2*a + 2. Let b be f(-3). Let n = 3 - 4. Let p = -2 + n. Put b, p, -5 in decreasing order.
b, p, -5
Suppose -3*z + 31 = -11. Let k be ((-2)/(-6))/((-7)/z). Let y = 20 - 218/11. Put y, -5, k in decreasing order.
y, k, -5
Let n = 86 - 79. Put -0.1, n, -5/3 in ascending order.
-5/3, -0.1, n
Let d = -0.24 - -0.2. Let a = d + -0.86. Let t = 0.5 + a. Sort 1/3, t, -0.5.
-0.5, t, 1/3
Let s(p) = -3*p + 4*p - 4*p + 4*p - 5. Let i be s(8). Sort i, 2, 5 in decreasing order.
5, i, 2
Let m(f) = -f**3 + 14*f**2 - 11*f - 26. Let j be m(13). Sort 9, j, 2, 4.
j, 2, 4, 9
Let l = 28 + -28. Sort l, 2/9, 2/7 in descending order.
2/7, 2/9, l
Let o(g) = -g + 1. Let n be o(0). Suppose -n + 13 = 3*a. Sort -2, a, 1 in ascending order.
-2, 1, a
Let k = 0 - -0.3. Let b = 2.3 - 2. Let x = k - b. Sort 1, x, -1/2 in increasing order.
-1/2, x, 1
Let l be 6*(2 - (-12)/(-8)). Let v = -7/2 + l. Sort v, 2/7, -2 in descending order.
2/7, v, -2
Let l = -27 - -6. Let x = 16 + l. Sort x, 2, 4 in decreasing order.
4, 2, x
Let k = -2.3 + 2. Sort k, 1/8, 2/23.
k, 2/23, 1/8
Suppose u + t = 0, 5*u + 3*t + 1 + 5 = 0. Let j = 0 - u. Let y(k) = k**3 - 5*k**2 - 6*k - 2. Let f be y(6). Sort -1, j, f in ascending order.
f, -1, j
Let u = 0.2 - 6.2. Let k = -5.7 - u. Sort 0.1, k, -0.5.
-0.5, 0.1, k
Suppose d - 6 = -2*u, 4*u - 9 = -d + 7. Let c be (-51)/18 - (-1)/(-6). Sort 0.3, c, u in ascending order.
c, 0.3, u
Let a be 1*(0/2 + 0). Let b = a - -1. Let f = 11 - 13. Sort b, 0, f.
f, 0, b
Suppose -6*o + 20 = -o. Let m be 12/8*o/(-6). Put -2, 2, m in descending order.
2, m, -2
Let v = 4.11 + -0.11. Suppose -t + 2*t = 54. Let p be (t/96)/((-3)/(-4)). Put v, 2, p in descending order.
v, 2, p
Let v = 63/10 - 13/2. Sort -2/13, -0.5, v in increasing order.
-0.5, v, -2/13
Suppose 9*h - 14*h + 30 = 0. Sort h, 2, -4, 3.
-4, 2, 3, h
Suppose -2*z = 2*z - 44. Suppose 0 = 3*r - 1 - z. Sort -1, r, -4 in ascending order.
-4, -1, r
Let h(x) = -x + 2. Let o be 3*(-2 + 2 + 2). Let n be h(o). Let s be (-2 - -2) + 5 + 0. Sort 1, s, n in decreasing order.
s, 1, n
Let q be 3/(-4) + (-44)/(-16). Let t be q/(-6) + (-13)/(-3). Suppose -2 = 5*n - 2*s - 0, t = 2*n - 2*s. Sort 5, -4, n in increasing order.
-4, n, 5
Let k = 0.2 + 3.8. Let z = -98 - -93.9. Let a = k + z. Put -1/4, 1/4, a in increasing order.
-1/4, a, 1/4
Let c = 0.3 - -1.7. Let o = -3.3 - -3. Sort -1, c, o in ascending order.
-1, o, c
Let h = 4.8 + -1.8. Sort h, 5, -3 in decreasing order.
5, h, -3
Suppose -2*f + 6 = 3*s - 4, f - s = 0. Let l be (-2)/(3/1 + -2). Put l, 4, f in decreasing order.
4, f, l
Let p = 10 + -1. Let f = p + -5. Suppose 0 = 3*w - d - 5 + 1, 4*w + 2*d + 8 = 0. Put f, -4, w in increasing order.
-4, w, f
Let k(v) = -v + 11. Let g be k(11). Let f(y) = -6*y**2 + 1. Let j be f(1). Put 1, g, j in increasing order.
j, g, 1
Suppose -4*z = 19 - 71. Suppose -z = 5*i + 12. Put 3, i, -2/9 in decreasing order.
3, -2/9, i
Let w = -193/56 - -23/8. Sort -0.2, w, -1/3 in ascending order.
w, -1/3, -0.2
Let l = -75 + 75.4. Sort -8, l, 2 in ascending order.
-8, l, 2
Let f(z) = z + 4. Let b be f(5). Let i(r) = -r**3 + 8*r**2 + 10*r - 9. Let a be i(b). Sort 2, a, -2 in descending order.
2, a, -2
Suppose 0 = -2*f - f - n - 25, -2*f - 24 = -3*n. Sort -4, -3, f in ascending order.
f, -4, -3
Suppose 0 = -4*q + z + 13, 3*q - 49 = 5*z - 18. Let v = 30 - 28. Suppose 4 = -4*t + 5*t - v*a, 0 = q*t - a + 1. Sort t, 1, 5.
t, 1, 5
Let g(m) = -2*m - 2. Let p be g(-3). Put 3, -4, p in descending order.
p, 3, -4
Suppose -r + 6 = -3. Let u be ((-3)/(-45))/(3/r). Let a = 0 - -0.1. Put a, u, -5 in decreasing order.
u, a, -5
Suppose -44 = -0*a + 3*a + 5*y, -5*a - 32 = -2*y. Put 1, a, -2 in increasing order.
a, -2, 1
Let n = -9 - -12. Put -0.2, n, 6, 2 in descending order.
6, n, 2, -0.2
Let f =
|
{
"pile_set_name": "DM Mathematics"
}
|
1/2, to the nearest integer?
32
What is 75638 to the power of 1/10, to the nearest integer?
3
What is the third root of 11987 to the nearest integer?
23
What is the square root of 77055 to the nearest integer?
278
What is 4078 to the power of 1/2, to the nearest integer?
64
What is 1028 to the power of 1/2, to the nearest integer?
32
What is the cube root of 2270 to the nearest integer?
13
What is 378 to the power of 1/2, to the nearest integer?
19
What is the fourth root of 500 to the nearest integer?
5
What is 16928 to the power of 1/7, to the nearest integer?
4
What is 3259 to the power of 1/4, to the nearest integer?
8
What is the square root of 125388 to the nearest integer?
354
What is 7188 to the power of 1/3, to the nearest integer?
19
What is 1873 to the power of 1/3, to the nearest integer?
12
What is 795 to the power of 1/4, to the nearest integer?
5
What is 2162 to the power of 1/3, to the nearest integer?
13
What is the third root of 169400 to the nearest integer?
55
What is 39 to the power of 1/3, to the nearest integer?
3
What is the seventh root of 39984 to the nearest integer?
5
What is 4136 to the power of 1/5, to the nearest integer?
5
What is 37447 to the power of 1/6, to the nearest integer?
6
What is the cube root of 1621 to the nearest integer?
12
What is the square root of 2483 to the nearest integer?
50
What is the third root of 1164 to the nearest integer?
11
What is the square root of 13 to the nearest integer?
4
What is 4824 to the power of 1/2, to the nearest integer?
69
What is 6138 to the power of 1/10, to the nearest integer?
2
What is 817 to the power of 1/5, to the nearest integer?
4
What is 65072 to the power of 1/3, to the nearest integer?
40
What is the square root of 5983 to the nearest integer?
77
What is 468 to the power of 1/2, to the nearest integer?
22
What is 600 to the power of 1/2, to the nearest integer?
24
What is 10112 to the power of 1/5, to the nearest integer?
6
What is the cube root of 109535 to the nearest integer?
48
What is the cube root of 248 to the nearest integer?
6
What is 1730 to the power of 1/2, to the nearest integer?
42
What is the square root of 553 to the nearest integer?
24
What is the sixth root of 13368 to the nearest integer?
5
What is the tenth root of 1164 to the nearest integer?
2
What is 1311 to the power of 1/3, to the nearest integer?
11
What is the third root of 1270 to the nearest integer?
11
What is the square root of 8637 to the nearest integer?
93
What is 1196 to the power of 1/7, to the nearest integer?
3
What is the third root of 469 to the nearest integer?
8
What is the tenth root of 14682 to the nearest integer?
3
What is 22056 to the power of 1/3, to the nearest integer?
28
What is the cube root of 59878 to the nearest integer?
39
What is 28554 to the power of 1/3, to the nearest integer?
31
What is 1053 to the power of 1/2, to the nearest integer?
32
What is the third root of 25569 to the nearest integer?
29
What is 9924 to the power of 1/7, to the nearest integer?
4
What is the cube root of 50281 to the nearest integer?
37
What is 177464 to the power of 1/4, to the nearest integer?
21
What is 72615 to the power of 1/2, to the nearest integer?
269
What is the square root of 17247 to the nearest integer?
131
What is the third root of 16194 to the nearest integer?
25
What is the cube root of 1537 to the nearest integer?
12
What is the ninth root of 453 to the nearest integer?
2
What is the third root of 654 to the nearest integer?
9
What is the fifth root of 12644 to the nearest integer?
7
What is 33695 to the power of 1/2, to the nearest integer?
184
What is 3960 to the power of 1/9, to the nearest integer?
3
What is 5611 to the power of 1/3, to the nearest integer?
18
What is 326 to the power of 1/3, to the nearest integer?
7
What is the third root of 7991 to the nearest integer?
20
What is the seventh root of 105057 to the nearest integer?
5
What is 3771 to the power of 1/2, to the nearest integer?
61
What is 16319 to the power of 1/3, to the nearest integer?
25
What is 206894 to the power of 1/2, to the nearest integer?
455
What is 6148 to the power of 1/3, to the nearest integer?
18
What is the seventh root of 2531 to the nearest integer?
3
What is the eighth root of 1195 to the nearest integer?
2
What is 21309 to the power of 1/5, to the nearest integer?
7
What is 6157 to the power of 1/10, to the nearest integer?
2
What is the square root of 2311 to the nearest integer?
48
What is 383 to the power of 1/2, to the nearest integer?
20
What is 33492 to the power of 1/3, to the nearest integer?
32
What is the eighth root of 63189 to the nearest integer?
4
What is 704 to the power of 1/2, to the nearest integer?
27
What is the eighth root of 2800 to the nearest integer?
3
What is the third root of 15771 to the nearest integer?
25
What is 1344 to the power of 1/3, to the nearest integer?
11
What is 1003 to the power of 1/2, to the nearest integer?
32
What is 134911 to the power of 1/3, to the nearest integer?
51
What is the seventh root of 2856 to the nearest integer?
3
What is 2484 to the power of 1/10, to the nearest integer?
2
What is the fourth root of 17322 to the nearest integer?
11
What is the square root of 1531 to the nearest integer?
39
What is the third root of 323 to the nearest integer?
7
What is the cube root of 150421 to the nearest integer?
53
What is the ninth root of 21422 to the nearest integer?
3
What is 2021 to the power of 1/2, to the nearest integer?
45
What is 21229 to the power of 1/6, to the nearest integer?
5
What is 187763 to the power of 1/2, to the nearest integer?
433
What is 2320 to the power of 1/2, to the nearest integer?
48
What is the square root of 2572 to the nearest integer?
51
What is the cube root of 21590 to the nearest integer?
28
What is the fifth root of 436 to the nearest integer?
3
What is 14228 to the power of 1/5, to the nearest integer?
7
What is 1004 to the power of 1/10, to the nearest integer?
2
What is 2052 to the power of 1/6, to the nearest integer?
4
What is 3786 to the power of 1/10, to the nearest integer?
2
What is the seventh root of 815 to the nearest integer?
3
What is the square root of 49523 to the nearest integer?
223
What is 121688 to the power of 1/2, to the nearest integer?
349
What is 9622 to the power of 1/3, to the nearest integer?
21
What is the cube root of 20476 to the nearest integer?
27
What is 40040 to the power of 1/2, to the nearest integer?
200
What is 75574 to the power of 1/9, to the nearest integer?
3
What is the square root of 13755 to the nearest integer?
117
What is the square root of 6767 to the nearest integer?
82
What is 26754 to the power of 1/2, to the nearest integer?
164
What is the cube root of 53 to the nearest integer?
4
What is the square root of 5930 to the nearest integer?
77
What is the cube root of 100004 to the nearest integer?
46
What is the cube root of 1845 to the nearest integer?
12
What is 1012 to the power of 1/2, to the nearest integer?
32
What is 1940 to the power of 1/2, to the nearest integer?
44
What is 6325 to the power of 1/2, to the nearest integer?
80
What is 20034 to the power of 1/2, to the nearest integer?
142
What is the seventh root of 21606 to the nearest integer?
4
What is the sixth root of 1387 to the nearest integer?
3
What is 39518 to the power of 1/7, to the nearest integer?
5
What is 32296 to the power of 1/3, to the nearest integer?
32
What is the third root of 606 to the nearest integer?
8
What is 16700 to the power of 1/8, to the nearest integer?
3
What is 54543 to the power of 1/9, to the nearest integer?
3
What is the ninth root of 17642 to the nearest integer?
3
What is the third root of 1868 to the nearest integer?
12
What is the third root of 56 to the nearest integer?
4
What is the square root of 49 to the nearest integer?
7
What is 37667 to the power of 1/4, to the nearest integer?
14
What is 123576 to the power of 1/2, to the nearest integer?
352
What is 7028 to the power of 1/8, to the nearest integer?
3
What is the tenth root of 26363 to the nearest integer?
3
What is the ninth root of 6151 to the nearest integer?
3
What is 8361 to the power of 1/7, to the nearest integer?
4
What is the ninth root of 1283 to the
|
{
"pile_set_name": "DM Mathematics"
}
|
hree letters picked without replacement from {p: 3, r: 5, v: 8}. What is prob of picking 1 r, 1 v, and 1 p?
3/14
Calculate prob of picking 1 w and 2 s when three letters picked without replacement from {w: 2, t: 2, s: 2}.
1/10
Two letters picked without replacement from xexdxdhxoxedhxxhxe. Give prob of picking 1 o and 1 x.
8/153
Three letters picked without replacement from {z: 10}. What is prob of picking 3 z?
1
Two letters picked without replacement from axxmlaxalxxxlxllnxxx. Give prob of picking 1 l and 1 m.
1/38
Three letters picked without replacement from {g: 1, z: 11}. What is prob of picking 1 g and 2 z?
1/4
Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {f: 3, y: 1}.
1/2
Two letters picked without replacement from cllllc. Give prob of picking 2 c.
1/15
Calculate prob of picking 4 k when four letters picked without replacement from {k: 7, q: 4, x: 6}.
1/68
Two letters picked without replacement from {i: 3, l: 3, f: 2}. What is prob of picking 1 l and 1 i?
9/28
Calculate prob of picking 2 o when two letters picked without replacement from {o: 3, u: 2, z: 3}.
3/28
Calculate prob of picking 1 x, 1 j, and 1 o when three letters picked without replacement from {j: 4, g: 1, o: 4, u: 1, x: 1, c: 1}.
4/55
What is prob of picking 2 y, 1 c, and 1 x when four letters picked without replacement from wwwwaywyawaxwc?
1/1001
Three letters picked without replacement from dnldnldldxulnlnddndd. What is prob of picking 1 u and 2 l?
1/114
Calculate prob of picking 4 d when four letters picked without replacement from {d: 5, a: 13}.
1/612
Three letters picked without replacement from {l: 4, f: 4, d: 1, m: 1, j: 1}. Give prob of picking 1 j and 2 l.
2/55
Three letters picked without replacement from {o: 4, e: 15}. Give prob of picking 2 e and 1 o.
140/323
Three letters picked without replacement from {b: 8, x: 3}. Give prob of picking 2 b and 1 x.
28/55
Three letters picked without replacement from {x: 7, z: 1}. What is prob of picking 3 x?
5/8
Calculate prob of picking 1 s and 1 p when two letters picked without replacement from aaqapsc.
1/21
Calculate prob of picking 1 d, 1 h, 1 s, and 1 r when four letters picked without replacement from ksksrrdhrsch.
2/55
Calculate prob of picking 3 j and 1 r when four letters picked without replacement from {j: 4, e: 3, g: 1, r: 4, y: 1, d: 1}.
16/1001
What is prob of picking 1 u and 3 a when four letters picked without replacement from {a: 7, u: 2}?
5/9
What is prob of picking 1 a and 1 r when two letters picked without replacement from rfmamrmmrmammmrrmr?
4/51
Four letters picked without replacement from {d: 7, g: 1, p: 3, y: 1}. Give prob of picking 2 y, 1 g, and 1 p.
0
Three letters picked without replacement from {w: 10}. What is prob of picking 3 w?
1
What is prob of picking 4 h when four letters picked without replacement from {x: 11, h: 3}?
0
What is prob of picking 1 t and 1 a when two letters picked without replacement from czttzatazj?
2/15
What is prob of picking 1 v, 1 n, and 1 q when three letters picked without replacement from {q: 6, v: 10, n: 4}?
4/19
Three letters picked without replacement from ffssfff. Give prob of picking 1 f and 2 s.
1/7
Calculate prob of picking 1 x and 1 r when two letters picked without replacement from xxpxxxxrxxxepxreep.
20/153
Two letters picked without replacement from ccccckckkcwcwcggwck. Give prob of picking 1 c and 1 g.
20/171
Three letters picked without replacement from uuaau. What is prob of picking 1 a and 2 u?
3/5
What is prob of picking 1 b, 1 j, and 1 z when three letters picked without replacement from {f: 4, o: 1, j: 5, z: 1, b: 1, h: 5}?
1/136
Calculate prob of picking 2 q when two letters picked without replacement from qpaqsqncsssq.
1/11
What is prob of picking 2 b when two letters picked without replacement from bobtltwe?
1/28
Four letters picked without replacement from {b: 1, s: 1, r: 1, o: 2}. Give prob of picking 1 b, 2 o, and 1 s.
1/5
Four letters picked without replacement from {j: 1, s: 2, w: 1, q: 2, a: 1}. Give prob of picking 1 w, 2 s, and 1 q.
2/35
What is prob of picking 1 k and 1 n when two letters picked without replacement from knnnnnnn?
1/4
Two letters picked without replacement from {b: 1, z: 5, e: 4}. Give prob of picking 2 e.
2/15
Two letters picked without replacement from {v: 1, y: 3, i: 1}. Give prob of picking 1 y and 1 i.
3/10
What is prob of picking 2 c when two letters picked without replacement from cchhhhhby?
1/36
Three letters picked without replacement from mmxmmmmxmttmmmm. Give prob of picking 2 m and 1 x.
22/91
Four letters picked without replacement from {o: 2, r: 1, t: 3, f: 12, s: 1}. What is prob of picking 1 o, 1 r, 1 s, and 1 t?
1/646
Four letters picked without replacement from {a: 7, e: 7, t: 2}. What is prob of picking 4 e?
1/52
Four letters picked without replacement from {u: 2, q: 1, a: 1}. What is prob of picking 1 q, 2 u, and 1 a?
1
Calculate prob of picking 2 u and 1 b when three letters picked without replacement from esueubfebousuobuue.
15/272
What is prob of picking 1 o, 1 x, and 1 k when three letters picked without replacement from nknnnnnxoohnnoxnnnkn?
1/95
Four letters picked without replacement from iffifigfgfif. What is prob of picking 4 f?
1/33
Three letters picked without replacement from {s: 7, b: 1}. Give prob of picking 2 s and 1 b.
3/8
What is prob of picking 1 k and 1 w when two letters picked without replacement from wkwkk?
3/5
Two letters picked without replacement from {r: 2, p: 2, y: 13, n: 3}. Give prob of picking 1 n and 1 y.
39/190
Two letters picked without replacement from rzzppzzizpzppz. Give prob of picking 2 p.
10/91
Three letters picked without replacement from {c: 2, o: 6}. Give prob of picking 2 o and 1 c.
15/28
Four letters picked without replacement from {r: 3, t: 8}. What is prob of picking 1 t and 3 r?
4/165
What is prob of picking 3 z when three letters picked without replacement from {z: 8, m: 2}?
7/15
Two letters picked without replacement from {t: 8, d: 1, c: 2, q: 2}. What is prob of picking 2 q?
1/78
Three letters picked without replacement from {v: 3, l: 7}. Give prob of picking 3 v.
1/120
Calculate prob of picking 1 s, 1 i, and 1 a when three letters picked without replacement from {s: 5, a: 3, i: 10, l: 2}.
5/38
Three letters picked without replacement from nnnnnnn. What is prob of picking 3 n?
1
What is prob of picking 1 g and 1 f when two letters picked without replacement from {f: 7, g: 2, s: 1}?
14/45
Calculate prob of picking 1 i and 3 p when four letters picked without replacement from {i: 1, p: 16, n: 1}.
28/153
Four letters picked without replacement from {k: 3, c: 4, a: 9}. What is prob of picking 3 a and 1 k?
9/65
Three letters picked without replacement from jrrraarajjrjjarr. What is prob of picking 1 a and 2 r?
3/20
Two letters picked without replacement from cweeewwcwjcwwej. Give prob of picking 1 j and 1 w.
4/35
Two letters picked without replacement from oobogbgogoogogo. Give prob of picking 1 o and 1 g.
8/21
Four letters picked without replacement from {q: 1, z: 6, i: 4}. Give prob of picking 4 z.
1/22
Two letters picked without replacement from {f: 3, z: 1, l: 5, p: 2, n: 1, i: 3}. Give prob of picking 1 l and 1 f.
1/7
What is prob of picking 1 f and 3 t when four letters picked without replacement from {t: 4, s: 6, f: 7}?
1/85
Calculate prob of picking 1 j and 3 u when four letters picked without replacement from {u: 16, j: 2}.
56/153
Three letters picked without replacement from {n: 9, v: 2, a: 2}. What is prob of picking 3 n?
42/143
What is prob of picking 2 q and 2 z when four letters picked without replacement from {z: 12, v: 1, q: 6}?
165/646
Four letters picked without replacement from jjjjofonjjjfjjyjofn. Give prob of picking 1 y, 1 j, and 2 n.
5/1938
Two letters picked without replacement from nninfnffnfffnfnna. Give prob of picking 1 i and 1 n.
1/17
What is prob of picking 1 n and 1 m when two letters picked without replacement from jnnjnjnm?
1/7
Calculate prob of picking 1 n and 1 o when two letters picked without replacement from {e: 3, v: 1, d: 1, o: 2, n: 13}.
13/95
Calculate prob of picking 2 x and 1 t when three letters picked without replacement from txxttx.
9/20
Calculate prob of picking 2 y
|
{
"pile_set_name": "DM Mathematics"
}
|
ommon multiple of 18 and l.
180
Suppose -1078 = -13*f - f. Calculate the common denominator of (-3)/(-2) + (-3)/(-12) and 7/16 - (5 - f/14).
16
What is the lowest common multiple of 176 and 0 - 2/18 - ((-14848)/144 - -4)?
1584
Let t(l) = -30*l + 134. Let g be t(4). Suppose 8*v = -g*v + 330. What is the smallest common multiple of v and 21?
105
Find the common denominator of 428/(-114) + 3 - (-15)/(-45) and -9/76.
228
Let l be (20 - 20)*(-4)/(-4). What is the least common multiple of 285 and ((-363)/(-22))/(1/2 - l)?
3135
Let u = -13869 - -166295/12. Let g = 21 - 11. Find the common denominator of u and -2*(25/g - 3).
12
Let b = -1/69133 - 7120611/6083704. What is the common denominator of b and -9/77?
616
Let n be (-157 + -1)*-3*(-6)/(-9). Let s = n - 226. Let d = 99 - s. Calculate the least common multiple of d and 30.
90
Let z(h) = h**3 - 5*h**2 - 16*h + 20. Let n be z(6). Calculate the least common multiple of ((-156)/13)/(2/(n/6)) and 36.
360
Let a = -35453061/284 - -124835. What is the common denominator of (-10 + 1132/112)*(-214)/(-3) and a?
1988
Suppose 2*p = 4*p, 2*g - 60 = 5*p. Calculate the lowest common multiple of -8 - 2*g/(-4) and 8.
56
Let l(u) = -u**3 + 7*u**2 - 7*u. Let n be l(3). Suppose n*y - 328 = -26*y. What is the least common multiple of 2 and y?
8
Let g = -8461/3 - -2795. What is the common denominator of 1434/244 - (-84)/(-14) and g?
366
Suppose 10*z = 2*g + 11*z - 632, -4*g + 5*z + 1292 = 0. Calculate the least common multiple of g and 636.
636
Let w(s) = -6511*s**3 - s**2 + 10*s + 5. Let i be w(-8). Let a = -1006716541/302 + i. Let p = 3/151 - a. Calculate the common denominator of p and 77/6.
6
Suppose 111*c - 5507 = 3217 + 1044. Calculate the lowest common multiple of c and 104.
1144
Let y(s) = -s**3 + 14*s**2 - 38*s + 71. What is the lowest common multiple of y(7) and 1156?
42772
Suppose -2488 = -5*f + 3*k, 8*k = -3*f + 13*k + 1496. What is the lowest common multiple of f and 142?
994
Let b = -2/5911 + 135975/65021. Calculate the common denominator of b and 17/454.
4994
Find the common denominator of -34/35 and 13416/37840 - (-4)/5.
770
Let s = 56309539/10 + -5638069. Let l = -7122 - s. Calculate the common denominator of 56/15 and l.
30
Let w be ((-7)/(-3))/(147/126). Find the common denominator of -43/386 and w/4*-2 - (-915)/30.
386
Let d = -22 + 13. Let l = 193 - 259. Calculate the common denominator of 65/22 and 6/d + (-179)/l.
22
Let x(w) = 3*w + 9. Let p be x(-2). Let g(a) = p + 2*a - 5*a - 5 + 7*a. What is the smallest common multiple of 18 and g(2)?
18
Let v(x) = 1382*x**2 - 2*x - 4. Suppose -4*q - 6 = -14. Let h be v(q). Let m = 88371/16 - h. Find the common denominator of m and 109/54.
432
What is the common denominator of (-9)/81 - 4917/(-594) and 7/2136?
2136
Suppose -4*n = -4*c + 2*c + 1228, -c - 8*n = -624. What is the least common multiple of 5 and c?
3080
Let s = -21 + 24. Suppose -55 = -5*g - a - 4*a, -38 = -s*g + 2*a. What is the least common multiple of g and 8?
24
Let h = 1464004/9401265 + -2/56295. Find the common denominator of h and 13/11.
1837
Let v = -223684 + 80973553/362. Let f = -11665/14 - -828. Calculate the common denominator of v and f.
2534
Let a(w) = 6*w + 200. Let t be a(-30). Suppose -19*v + 40 = -15*v + 3*h, 2*v + 5*h - t = 0. What is the least common multiple of v and 14?
70
Let t(y) = -y**3 + 13*y**2 - 33*y - 9. Let m = -671 + 680. Calculate the least common multiple of 362 and t(m).
3258
Let y = -1/3 + 8/3. What is the common denominator of (6 - 3) + (-37)/12 and y?
12
Let n(q) = -3*q - 3. Suppose -215*t - 100*t + 1890 = 0. What is the least common multiple of t and n(-5)?
12
Suppose 0 = 28*x + 160 - 440. Calculate the lowest common multiple of x and 227.
2270
Let k be (16/20)/((-2)/(-15)). Let b = 2 - 0. Suppose -b*d = -3*d + k. What is the least common multiple of 20 and d?
60
Suppose 7*a = -3*a + 5*p + 150, -3*p = -5*a + 72. Calculate the lowest common multiple of 590 and a.
5310
Suppose 3*h - 2 = -a, a + 6 = 2*h - 3*a. What is the common denominator of (h - 0) + (-1001)/605 and -52/115?
1265
Let x = -475414950 + 34227905309/72. Let w = 27377 + x. Calculate the common denominator of -53/16 and w.
144
Suppose 5*t - r - 6 = -3*r, -r + 4 = 3*t. Suppose -5*g + k = -45, -g - t*g - k + 19 = 0. Suppose g*u - 23 = 1. Calculate the lowest common multiple of 11 and u.
33
Let q = 4/2873 - -37325/17238. Calculate the common denominator of q and -115/2156.
6468
Suppose 131 = r + 6*r - 177. What is the smallest common multiple of 1344 and r?
14784
What is the common denominator of -11/170 and (636/112)/(-1) + 19/((-95)/(-30))?
2380
Let x = 6723 - 53807/8. What is the common denominator of x and 71/58?
232
Let h = -2748 + 2860. Calculate the least common multiple of 992 and h.
6944
What is the lowest common multiple of 51 and (-9486)/(-372)*(-8)/(-3)?
204
Let s be 257/17 + -6 + (-400)/(-68). What is the common denominator of -34/15 and (-34)/(-15) - (s/25 + 0)?
15
Let i be (-4)/(-22) - (-8 + (-38095)/(-15)). Let b = i - -2534. Calculate the common denominator of b and 143/12.
132
Let w = -771 + 779. Let c(t) = 16*t + 47. Calculate the least common multiple of 63 and c(w).
1575
Let c = 520 + -3499/7. Let g = 1192/63 - c. Calculate the common denominator of 47/27 and g.
27
Let q be 6 + (1 + 1)/((-20)/(-30)). Let z be (-1175)/15*-2*q/(-6). Find the common denominator of 109/42 and (z/120 + 2)*-119.
168
Suppose -2*j - 13 = o, 4*o - 2*j - 3*j = 0. What is the common denominator of ((-695)/(-50))/(o/(50/(-48))) and -47/28?
336
Suppose 469*v + 60 = 467*v. Calculate the lowest common multiple of 244/12 - 50/v and 8.
88
Let c = -1074289/206 - -5215. Calculate the common denominator of c and 11/6.
618
Suppose -6*v + 2*v = -2*h - 116, 0 = 5*h + 4*v + 304. Suppose -y - 4 = -2*w, 4*w - 46 + 14 = -4*y. Calculate the least common multiple of 6/27 + h/27 + y and 8.
8
Let b = 238/3 - 689/6. Let l = 2676/709 - 1835240/36159. Let f = l + 47. What is the common denominator of f and b?
102
Let z = -14583997/836 - -17445. What is the common denominator of z and -44/3?
2508
Let m = 40773 - 40755. Let z(r) = r + 9. Let k be z(-6). Suppose 10 = k*t - s - 20, 0 = -3*t + 2*s + 30. What is the least common multiple of m and t?
90
Let c = 59483/3626 - 778/49. Calculate the common denominator of ((-1785)/(-14) + 6)/(27/(-1)) and c.
666
What is the common denominator of (-8050)/420*(-6)/40 and 354/148 - 8/4?
296
Let v(o) be the first derivative of 16*o + o**2 - 1/4*o**4 - 2/3*o**3 + 1. What is the lowest common multiple of v(0) and 16?
16
What is the common denominator of 38/(-35)*6/24 and (-3255)/756 - (-18)/81?
420
Suppose -m = 0, 0 = -5*c - 5*m - 1479 + 4279. Calculate the lowest common multiple of c and 140.
560
Let d = 167639/24 - 6987. What is the common denominator of 139/144 and d?
144
Suppose 132*h - 3202 = 758. Calculate the lowest common multiple of h and 9492.
47460
Let i(q) = -42*q - 1628. Calculate the smallest common multiple of 1518 and i(-39).
7590
Calculate the common denominator of 53/6721 and 0 + -21 - (-137060)/5785.
6721
Let m be ((-12610)/291)/((-4)/6). Let p = 179 + -96. Let i = p - m. Calculate the smallest common multiple of 21 and i.
126
Let l = -3634 - -3635. Calculate the smallest common multiple of l and 662.
662
Suppose -930*y - 3*d - 75 = -933*y, 0 = 4*y + 3*d - 93. What is the smallest common multiple of y and 6022?
72264
Suppose 24*n + 37*n = -299 + 2129. Suppose 3*q + m = 122, -q + 0*q - m + 42 = 0. What is the lowest common multiple of n and q?
120
Let k = 3890 + -719639/185. Let b = k - 1649/2220. Calculate the common denominator of b and 145/12.
60
Suppose 228 = 20*q - q. Suppose b - q - 10 = -p, 0 = -3*p. What is the smallest common multiple of b and 194?
2134
Let t = -76367 - -129300. Let x = t + -5928413/112. Let j = 1534 - 6085/4. Find the common denominator of j and x.
112
Let w be ((-165)/(-6))/(2/4). Let d be 5/w*-2551 - 2. Let k = 32405/132 + d. Calculate the common denominator of -33/20 and k.
60
Let n(s) = 67*s - 2068. Calculate the least common multiple of 36 and n(34).
1260
Suppose 42 + 253 + 251 = 21*a. What is the least common multiple of 130 and a?
130
Suppose -36 = -4*g + 3*g - 3*r, 0 = -3*g + 2*r + 75. Let z be (-3)/(-10) - 49056/320. Let h = z - -156. Calcul
|
{
"pile_set_name": "DM Mathematics"
}
|
t m be r(n). Which is smaller: m or z?
m
Let v(x) be the first derivative of -x**4/4 - 7*x**3/3 + x**2/2 + 7*x + 2. Let t be v(-7). Which is greater: t or 1?
1
Suppose 69*z - 68*z = 0. Which is smaller: z or -1/20?
-1/20
Let v = -3/8 + -1/40. Suppose -3*z - 5 = -14. Suppose 5*c + 2 = -z. Is v <= c?
False
Let k = -13 + 12.3. Let p = 0.7 + k. Which is smaller: 0.1 or p?
p
Let j = 688/53 - 97223/7314. Let w = j + -1/46. Which is smaller: w or -1?
-1
Suppose 2*z + 0*z + 2 = 0. Which is smaller: z or 5?
z
Let l = 26 - 17. Let q = 15 - l. Does 6 = q?
True
Let x = -5 - 1. Let g be (-8)/x*9/30. Which is smaller: g or 3?
g
Let w be 0/7 - (-1)/(-5). Is 0 less than w?
False
Suppose 2*z - 18 = w, 2*w - 2*z = 3*w + 6. Do w and -12 have the same value?
True
Let p = 14 - 12. Is 2/5 greater than or equal to p?
False
Let y(a) = 2*a**2 + 2*a - 1. Let j be y(1). Suppose 1 + j = 2*p. Let k = -4 - -7. Is k less than or equal to p?
False
Let m = -9 + 14. Let a = 11 - 9. Suppose -m*g + 3*s - 2 = 0, -4*g = -a*g - 4*s - 2. Which is bigger: -2/23 or g?
-2/23
Let v(p) = -p**2 - 4*p + 4. Let w be v(-6). Let a be w/(-12) - (-2)/(-3). Which is bigger: -3/7 or a?
a
Let s = -6.02 - -6. Let q = s - 1.98. Let a = q - 0. Which is smaller: -2/7 or a?
a
Let t(l) = 4*l + 2. Let q(s) = -3*s - 2. Let f(c) = 3*q(c) + 2*t(c). Let h be f(-1). Is 4/11 smaller than h?
False
Suppose w = 5*a - 3*w + 18, 0 = -2*a + w - 6. Let q = 6 + -2. Let x = 1 - q. Which is smaller: x or a?
x
Let w be (-2 - (52 + -4))/(3 + -2). Is w at most as big as -50?
True
Let y(b) = b**3 + 12*b**2 + 12*b + 7. Let w be y(-11). Let z be 84/(-90) - w/(-10). Is z smaller than -1?
True
Suppose -2*z = -3*z. Suppose z*n = -n. Suppose n = -j + 5*j. Which is smaller: j or -4?
-4
Suppose 4 = -5*l - 16. Which is smaller: 2 or l?
l
Let v(z) = -z**3 + 4*z**2 - 4*z + 3. Let c be v(3). Which is smaller: c or 0.6?
c
Let h = 1/4 + -1/20. Which is smaller: 8 or h?
h
Let t be (-28)/(-12) + (-2)/6. Let u(k) = -3*k + 3. Let m be u(t). Which is bigger: 0 or m?
0
Let d = -7 + 13. Let v = 8 - d. Which is smaller: -3 or v?
-3
Let o(n) = 8*n**2 + 4*n + 2. Let b be o(-2). Suppose 4*q + b = -2. Which is smaller: -6 or q?
q
Suppose 2 = -4*h - 2*n, 3*h = -n + 6*n - 21. Let t be 0/(1 - (h + 4)). Suppose -3*c - 8 = 2*b + 2*c, c + 1 = -b. Is b >= t?
True
Let d = -0.04 + -0.16. Which is smaller: -1/3 or d?
-1/3
Let u(p) = -3 + p + 0 + 4 + 0*p. Let h = -1 - 1. Let s be u(h). Which is bigger: s or -2?
s
Let s = -0.4 + 0.5. Let f = s + -0.2. Let q = f + 0.2. Is q at most 0.1?
True
Let x = -6.03 - -0.03. Let b = x - -6. Which is smaller: -1/4 or b?
-1/4
Let w be (-1 - -3)/((-2)/(-4)). Suppose 48 = -0*c + w*c. Suppose -2*d + y - 4 = 5*y, c = d - 5*y. Which is greater: 1/2 or d?
d
Let z be (-1)/7 - (20/7 - -1). Which is smaller: z or 1?
z
Let a = 63 - -28. Is a <= 91?
True
Let i = 0 + 4. Which is smaller: i or 3?
3
Let s be (1/3*3)/1. Let l = -73/36 + 16/9. Is l < s?
True
Let o(p) = p**2 + p - 5. Let h(r) = 2*r**2 + 3*r - 11. Let g(m) = 6*h(m) - 13*o(m). Let q be g(5). Let d = -20 + 20. Which is bigger: q or d?
d
Let x(w) = w**2 + 3*w - 6. Let h be x(-5). Let d = h - 1. Which is greater: 2 or d?
d
Suppose -3*t - 3*q = 633, -q - 89 = 4*t + 761. Let r be (-2)/10 - t/15. Let i be (-18)/(-63) + (-4)/r. Do -1 and i have the same value?
False
Let p = 0.12 + 0.02. Let b = -0.04 + p. Let q be (5/(-3) - -1) + 0. Is b < q?
False
Let t(n) = n**3 + 9*n**2 + 4. Let x be t(-9). Suppose x*f + 3*y = 9, 0*y - 3*y - 6 = -f. Suppose 0 = -m - f + 8. Is m smaller than 5?
False
Let p(v) = v + 6. Let x be p(0). Let g be (9/x + 1)/2. Let t be (14 - 14)/(2*1). Which is bigger: t or g?
g
Let r = -2 - -4. Suppose 0 = -3*z + r*n + 19, 5*n - 5 = -4*z - 18. Let j be 2/(-6) + 7/z. Which is greater: j or 1?
j
Suppose 4*y - 5 = -y. Let p(b) = -1 + 2*b - b - y. Let d be p(5). Do d and 4 have the same value?
False
Let s = 0 - 4. Let o be 1434/936 + (-1)/4. Let l = -8/13 + o. Which is greater: l or s?
l
Let h be (-4)/(-6) + 600/(-9). Let y be (-4)/(-6) + (-1598)/(-24). Let j = h + y. Are j and 1 equal?
False
Suppose 0*c - 3*c = -0*c. Is -6 < c?
True
Let a = -55 - -43. Is -2 at most a?
False
Let x = 20 + -10. Which is bigger: 11 or x?
11
Let d be ((-2)/(-4))/((-2)/(-12)). Which is greater: d or -1?
d
Suppose -4*b - 9 - 15 = 0. Let c be (4 + b)*(-2)/(-38). Let y = -3 + 2. Which is smaller: c or y?
y
Let h be (16/(-96))/(1/3). Which is greater: -4 or h?
h
Let c be (-19)/10*-4*-1. Let s = -8 - c. Are 1 and s unequal?
True
Let p(z) = -8*z**3 - 6*z**2 + 7. Let m be p(4). Let y = m - -25845/43. Which is greater: y or 0?
y
Let o be ((-4)/(-4))/((-2)/8). Let n be (-10)/(-6)*o/(-10). Is 2 greater than or equal to n?
True
Suppose -5*a - n + 3*n = 5, -4*n + 2 = -2*a. Let t be (0 - -2) + -5 + 4. Which is greater: t or a?
t
Let l be (24/(-14))/(3/21). Let b be (2/(-6))/((-16)/l). Is b >= 1?
False
Let v = 0.152 + 3.768. Let a = v + 0.08. Is 2 at most as big as a?
True
Let b(w) = 6*w. Let s be b(-1). Let o = s - -5. Which is greater: 2/7 or o?
2/7
Suppose -4*o + 15 = 5*t - o, 4*t - 5*o = 49. Let g be t/9 + 20/6. Let w be 6/4*g/24. Which is bigger: w or 0?
w
Let d = -8 + 4. Let q = 2 + d. Let y = q - -1. Which is greater: y or 2?
2
Let d be (-1 + -4)/5 - -4. Suppose 5*l = 2*l + 9. Let m = d - l. Which is greater: 1/2 or m?
1/2
Let v be 0 - (-4 - -2) - -7. Let p be 26*(-2 + 10/4). Let t = v - p. Is t != -4?
False
Let j be (6/4)/((-2)/(-4)). Let p(s) = -s**2 + 2*s + 1. Let b be p(j). Let y(r) = -r**2 - 2*r. Let c be y(b). Which is smaller: 0.1 or c?
c
Let f = 1.7 - 0.7. Is f at most as big as -4?
False
Let u = 3 + -1. Let w be 4 + 0 + 9/(-3). Is w at least u?
False
Let k = 5.8 - 5.14. Which is smaller: 1 or k?
k
Let h(f) = -f**2 - 10*f. Let r be h(-9). Suppose -r = 2*d - 3. Is d < -5?
False
Let r = -5 + 3. Let a = -1.9 - r. Let f(d) = -3*d**2 + d. Let q be f(1). Is q < a?
True
Let r be 3/(-12) + (-3)/(-4). Which is greater: -2 or r?
r
Suppose -d + 5 = 2*u, -5*d + 27 = 5*u + 7. Suppose r - 10 + 1 = -4*z, -5*z + 30 = -5*r. Let l be (z/7)/1*-1. Are l and u nonequal?
True
Let p = 105.1 - 110. Let r = p - -5. Which is greater: r or -0.1?
r
Let c = 27.2 + -27. Which is smaller: c or 2.8?
c
Let j be (60/70)/(-1 + (-24)/(-14)). Is j equal to 2?
False
Let d be (-22)/11*63/2. Is d at least -62?
False
Let t = 57 + -49. Which is smaller: t or 2/15?
2/15
Let d be (-2)/(-2)*4/(-8). Does 1 = d?
False
Suppose 3*f + 0 = -12, 0 = -5*x - f - 29. Let p = 2 + x. Which is greater: -4 or p?
p
Let w(r) = -r**3 + 15*r**2 + 15*r + 13. Let j be w(16). Which is greater: -18/11 or j?
-18/11
Let a = 0.08 - -38.92. Is -0.1 at least as big as a?
False
Let g be (-3*2)/2 + -2. Let x = g - -13/2. Let r = 11 + -8. Is r greater than or equal to x?
True
Let i be (-2)/(-62)*(-5 + (0 - -6)). Are -1 and i equal?
False
Let x be 4/(-6)*18/(-48). Let r = 0.1 - -0.1. Let c = 0 - r. Which is greater: c or x?
x
Suppose 8 = -4*s - 8. Let v be (-12)/8 + (-17)/(-14). Are v and s equal?
False
Let s(t) = t**2 - 4*t + 1. Let l be s(4). Suppose -g - 40 = -3*g. Let q be (-8)/(-20) - 13/g. Is l greater than q?
True
Let o be (2/(-4))/((-1)/(-4)). Suppose d - 26 = -24. Which is smaller: o or d?
o
Suppose 3*z - 3*v = -0*z - 3, 2*v = 5*z + 11. Let p be (1/(-14))/(z/(-12)). Suppose 4*u = 5*g - 6 + 35, -2*g = 10. Is p not equal to u?
True
Let b be -3 - (-3 + -2) - 0. Let u = 1 + b. Is 3 > u?
False
Let l(x) = -2*x - 12. Let k be l(-7). Let c = 3 - k. Are 0 and c nonequal?
True
Let n = -2.55 + 2.5. Let a = 0.42 + -0.4. Let c = -0.98 - a. Which is smaller: n or c?
c
Suppose 0 = 2*p - 1 - 1. Suppose 5*z = 3*k - 263, 79 = -2*z - 3*k - 22. Let r be 21/z - (-11)/44. Which is bigger: r or p?
p
Let t(i) = -i**3 + 8*i**2 - i + 7. Let w be t(8). Which is bigger: w or 1/2?
1/2
Let j be ((-2)/20*1)/((-1)/(-8)). Which is bigger: -2 or j?
j
Let d be 2/(2 - (-2 + 3)). Suppose -w - 2*u = -d*w - 5, -3*w - 7 = -2*u. Is w less than 0.2?
True
Suppose 0 = -4*q + 7 + 1. Does 11 = q?
False
Let f(m) = m**3 + 4*m**2 - 2*m - 1. Let s be f(-4). Let x = 11 - s. Which is smaller: 5 or x?
x
Suppose 7*j - 25 = 2*j. Let k(i) be the third derivative of -i**4/12 + 5*i**3/6 + 9*i**2. Let o be k(j). Is o greater than or equal to -5?
True
Suppose -f = 2*p + 3*p - 87, -32 = -2*p + f. Suppose p = 4*t -
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 + 4*i**3)*(2*i + 2 - 3 - 10) to l*i**3 + v*i + c*i**2 + d + f*i**4 and give l.
-33
Rearrange 6*c**2 + 2*c**2 - 18*c**2 to the form n*c**2 + x + p*c and give n.
-10
Rearrange 13*b - 8*b - 2*b**3 + 3*b to z*b**3 + o*b + g*b**2 + s and give o.
8
Rearrange (y - 2*y + 0*y)*(y + 2*y + 0*y)*(y + 6*y - 3*y)*(2 - 1 - 3) to the form v*y**2 + j*y**3 + o*y + k and give k.
0
Express 34*j + 7*j**2 - 8*j**2 - 14*j in the form z*j**2 + f*j + d and give z.
-1
Rearrange 1 + 12*z + 2*z**4 - 2*z - 7*z - 2*z to the form o*z**2 + f*z**3 + j*z + g*z**4 + x and give x.
1
Rearrange -57*w**4 + 55*w**4 - 2 + 0*w**2 + w + 0*w**2 + w**3 to t*w**2 + p*w**4 + v + i*w**3 + x*w and give i.
1
Rearrange 10*f + f**4 - 6*f - 2*f - 10*f**2 to t*f + x + y*f**3 + q*f**4 + o*f**2 and give t.
2
Express -4*x**3 - x**3 + 0*x**2 + 2*x**2 as g*x**3 + u*x**2 + v*x + d and give u.
2
Rearrange (2 + 1 - 4)*(1 - 1 - 1)*(6*z + 3*z - 2*z) to the form y + t*z and give t.
7
Express (-2*x**2 + 0*x**2 + 0*x**2)*(3 - 3 - 1) + (1 + 1 - 3)*(x**2 - x**2 - 16*x**2) as c*x + t + g*x**2 and give g.
18
Express (-3*i + 4*i + 0*i)*(-17*i + 2*i - 27*i) + 0*i + 0*i - 2*i**2 - i + 0 - 1 + 2 - i**2 as u*i + k + r*i**2 and give r.
-45
Rearrange 110*x + 2 + x**2 + 107*x - 219*x to m*x + h + t*x**2 and give m.
-2
Express (-3*n + 2*n + 2*n)*(4*n**2 + 6*n**2 - 4*n**2 + (-n**2 + 0*n**2 - n**2)*(-3 + 0 + 1) + 0 - 2*n**2 + 0) in the form l*n**3 + k*n + f*n**2 + p and give l.
8
Express 2 - 2 - 3*z**3 + (-5*z**3 + 2*z**3 + z**3)*(-7 - 2 + 2) as b*z**3 + j*z**2 + w + n*z and give j.
0
Rearrange (-19 + 10 + 3 - 2*w)*((-3 + 2 - 1)*(3 + 2 - 3) + 3 - 8 + 3) to the form i*w + q and give i.
12
Express 4*o**2 + 8 + 1 + 3 + 5*o**3 - 14 in the form p*o + a*o**3 + t + f*o**2 and give a.
5
Rearrange 4 + 33*d**3 - d - 54*d**3 - 6 to the form h*d + o + g*d**2 + z*d**3 and give h.
-1
Rearrange 21*r**2 - 8 + 8 + 9*r**2 to h*r**2 + k*r + p and give p.
0
Rearrange 0 + 4 - 3 + 2 - 16*z to j*z + a and give a.
3
Express -4*s**2 - 457*s**3 - 2*s**4 + 457*s**3 + 1 + 2*s in the form j*s**4 + y*s**2 + t + l*s**3 + p*s and give t.
1
Express i**4 - 4*i**4 - 4*i**4 + (-4 + 7 - 2)*(i - 5*i**4 - i) + 1 - i**4 - 1 - i**4 - i**4 + i**4 in the form y*i**2 + g*i**3 + j*i**4 + f + c*i and give j.
-14
Express (0*b**2 + 3*b**2 - 5*b**2)*(-5 - 2*b + 5) as x*b**2 + l*b + h*b**3 + i and give h.
4
Rearrange (-1 - 3*w + 1)*(-4*w + 2*w + 0*w)*(2*w - w - 3*w) to g*w**3 + k + v*w**2 + m*w and give g.
-12
Express (-3 + 13 - 2)*(j + 2*j - 4*j) as f*j + g and give f.
-8
Rearrange (5*f + 2*f**2 - 5*f)*(2*f + 2*f - f) + (0*f + 3*f - 2*f)*(14*f**2 + 17 - 17) to c + m*f + x*f**3 + u*f**2 and give x.
20
Rearrange -9*s**4 + 889*s - 889*s + (2 + 4 - 7)*(-2 + 2 - s**4) to the form u*s**2 + g + f*s**3 + w*s + x*s**4 and give x.
-8
Express 2*u**3 + 7 + 17*u**2 - 36*u**2 + 21*u**2 - 2*u**4 in the form m + t*u**4 + z*u**3 + x*u**2 + d*u and give x.
2
Express -1 - 2*s**2 + 0*s + 4*s + 6*s**4 - 4*s**4 - 4*s**4 in the form c*s**4 + h*s + y*s**2 + n + v*s**3 and give n.
-1
Express 2*r**4 + 2*r - 4*r**2 - r + 0*r**2 - 2*r**3 + 2*r**2 as j*r + k*r**3 + a*r**4 + t*r**2 + p and give k.
-2
Express -9*z**2 - 5*z**2 - 9 + 2*z**2 + 11 as b*z**2 + f + n*z and give b.
-12
Express 20*g**2 - g - 82*g**2 + 38*g**2 in the form x + y*g + p*g**2 and give p.
-24
Express (-47*o**2 + 58 - 58 - 27*o**2)*(o - 1 + 1) in the form z + u*o + m*o**2 + v*o**3 and give v.
-74
Rearrange -3*v**2 - 3*v**2 + 3*v**2 + (-v + v + v)*(-8*v + 9*v - 3*v) + (-6*v + 4*v + 0*v)*(-2*v + v + 0*v) to the form n*v**2 + a*v + j and give j.
0
Express (-31 + 22 + 13)*(-o**3 + 0*o**3 - 4*o**3) as u*o**3 + d*o**2 + w*o + b and give u.
-20
Rearrange -13 + 21 - 11 - 12*q to s*q + x and give x.
-3
Express -5*o**2 - o**3 + 6*o**4 + 4*o**2 + 0*o**2 - 13*o**4 - 1 in the form v*o**3 + h*o**2 + l + c*o**4 + t*o and give h.
-1
Express -6 + 5*l + 2 - 11 - 4*l as f*l + p and give p.
-15
Rearrange (506 + 134*g - 506)*(-3 + 4 - 2)*(g + 0*g - 3*g) to o*g**2 + s + a*g and give o.
268
Rearrange 1 - 2*m + 0*m**4 + 9*m**4 - 4*m**2 + 4*m**2 to b*m**2 + v + p*m**3 + s*m**4 + o*m and give o.
-2
Express -8*m**3 - 32*m**2 + 15*m**2 + 18*m**2 as j*m**2 + f*m**3 + h + d*m and give f.
-8
Rearrange (6*i**2 - 16*i**2 - 9*i**2)*(-2*i**2 + 4*i**2 + 0*i**2) to s*i + o*i**2 + w*i**4 + c*i**3 + t and give w.
-38
Rearrange 9 - 7 - 2 + 6*h**2 to u*h + j + g*h**2 and give g.
6
Express -42 + 20 + 22 + z in the form f*z + u and give f.
1
Rearrange (-2 + 2 + 5*v)*(4*v**2 - v**2 - 2*v**2) + (2*v**3 - 2*v**3 + v**3)*(0 - 2 + 1)*(-3 + 2 - 1) to the form m + x*v**2 + f*v + u*v**3 and give u.
7
Express 0*v**3 - 3*v**2 - 4*v**3 + 2*v**3 in the form w*v**2 + p*v + m + s*v**3 and give w.
-3
Express 2*o**2 + 7*o - 1 - 3 + 4 in the form p + t*o + s*o**2 and give t.
7
Rearrange 3*g**3 - 16*g**4 + 8*g**4 + g**2 - 1 + 6*g**4 to the form f*g**3 + b*g + c + v*g**2 + r*g**4 and give c.
-1
Rearrange 16 - s**2 + 0*s**2 + 0*s**2 to b*s + f + v*s**2 and give f.
16
Express 66*u + 2 + 3*u**4 - 68*u + 3*u**3 - 2*u**4 in the form h*u**2 + r + t*u**3 + x*u**4 + m*u and give m.
-2
Express -j**2 + 2*j**2 - 3*j**2 as t*j**2 + h + z*j and give t.
-2
Rearrange -23*s**2 + 25*s**2 - 33*s**2 - 85*s**2 to the form q*s**2 + u*s + h and give q.
-116
Express (3 - 4 + 2)*(0*i**2 + 4*i**2 - 17*i**3 + 26*i**3) as f*i + h + d*i**3 + n*i**2 and give n.
4
Rearrange 2*p + 10 + 16 - 54 to the form g + f*p and give g.
-28
Express (0 + 1 + 0)*(a + 5 - 5) + a - 3*a - 6*a - 2*a - a + 2*a + (1 - 1 + 1)*(2 - 2 + 2*a) + 0*a - a - a in the form f + y*a and give y.
-8
Express n**3 - n + 2*n**3 - 6*n**3 + (-11*n**2 - 4*n**2 - 2*n**2)*(-3*n + 4*n + n) in the form c*n + q*n**3 + y*n**2 + b and give c.
-1
Express 204*f**4 - 202*f**4 - 3*f - 2*f**2 - f**3 + 0*f**3 in the form y*f**4 + q + p*f**2 + d*f**3 + c*f and give c.
-3
Rearrange 2*r - 4*r**2 - 2*r - 2*r to i*r**2 + l*r + n and give i.
-4
Rearrange (4 - 4 - 1)*(-2*t + 4*t - t)*(34*t - 11*t**2 - 33*t - 2*t**2) to b + d*t**3 + p*t**2 + y*t and give p.
-1
Express (6 + 40 - 8)*(-3 + 0 + 2)*(2 - 2 - 2*p) in the form u + d*p and give u.
0
Rearrange (-3 - 1 + 2)*(-3 + 2 - 1)*(2 - 2 + 1)*(-6 + 15*o + 6) to the form t + m*o and give m.
60
Express -181 + 181 + p**3 - 8*p**2 in the form g*p**3 + a + b*p + o*p**2 and give g.
1
Rearrange 0*c**2 - 17 + 2*c**2 - 8 to w*c**2 + g*c + n and give w.
2
Rearrange (-2*n - n + 2*n)*(-11*n**3 - 2*n - 8*n**3 - 3*n**3) to the form l*n**4 + j*n**3 + t*n + m*n**2 + g and give g.
0
Rearrange 9*p - 9*p - p**2 + 0*p**2 to the form m*p**2 + o*p + d and give m.
-1
Express (2*t**2 - 16*t**2 - t + 3 + 4*t**2)*(t - 45 + 45) as g*t**2 + m + o*t**3 + w*t and give w.
3
Rearrange -4 + 3*g + 4 - 2 - g + 4 + 5*g + (4*g - 6*g + 3*g)*(4 + 0 - 3) - 3*g + g + 3*g to the form u + l*g and give u.
2
Express r + r + 3 - 5 + (2*r + 0*r - 3*r)*(4 - 7 + 15) as x*r + w and give x.
-10
Rearrange -z**2 + z**2 + 4*z - 4*z**2 to the form b*z**2 + s*z + d and give s.
4
Rearrange -2*f**2 + 0*f**2 + 14*f - 44*f + 14*f to g + m*f**2 + c*f and give m.
-2
Rearrange (-9 - 6 - 118)*(-2*n**3 - n**3 + 5*n**3) to h + k*n**2 + v*n**3 + t*n and give v.
-266
Express (4*p - 4*p + 2*p**2)*(-2 - 3 + 4)*(-9 - 3 + 1) in the form k*p**2 + j*p + i and give k.
22
Rearrange 34*m - 68*m + 36*m - 11 + 4 to the form s*m + i and give s.
2
Rearrange 40*f + 96 - 96 to the form r*f + q and give r.
40
Express -59*a + 97*a - 108*a in the form j + g*a and give g.
-70
Rearrange -2*j + 29*j + j to i + s*j and give s.
28
Express 0*r + 0*r - 2*r**4 + (-3 + 3 - 6*r)*(-r**3 - r + r) - r**3 - 3*r**4 + r**3 as q*r + g*r**2 + h*r**3 + b + f*r**4 and give f.
1
Rearrange 28*g**3 + 3*g - 32*g**3 - g + (-g + 1 - 1)*(3*g**2 - g**2 + 0*g**2) to the form v*g**2 + d*g**3 + w*g + j and give w.
2
Express q + q + 0*q + (2 - 2 + 1 + 0 - 2 + 1 + (0 + 1 + 1)*(-1 + 1 + 2) + 1 + 0 + 1 - 3 + 3 + 1)*(-4 + q + 4) + 8*q - 3*q + q as w + d*q and give d.
15
Rearrange 9*a + 3 - 3 + 4*a + 0*a - 3*a + (-3*a + 2*a + 3*a)*(0 - 2 + 1) + 4 - 4 + 2*a to the form h*a + g and give h.
10
Rearrange (-5 + 2 + 2)*(3*k + 2*k + k + (-k + 3 - 3)*(-1 + 4 - 4) - 4 + k + 4) to the form p + b*k and give b.
-8
Rearrange 2*y**2 - y**2 + y**2 - y**2 - 9 to the form j*y + g*y**2 + x and give g.
1
Rearrange (79*k + 33*k - 16*k)*(-5*k**3 + k**3 + 3*k**3) to the f
|
{
"pile_set_name": "DM Mathematics"
}
|
43, 8, -4, -10
Put 2, -510, -4, 5, -5, 6, 87 in decreasing order.
87, 6, 5, 2, -4, -5, -510
Sort 84, -5/6, -1149.8 in decreasing order.
84, -5/6, -1149.8
Sort 0.2, -16, -0.2, -3756/83.
-3756/83, -16, -0.2, 0.2
Sort 2, -6, 4, -2, 774, -24 in decreasing order.
774, 4, 2, -2, -6, -24
Put 6, -1, -61, 0, 375 in decreasing order.
375, 6, 0, -1, -61
Put -1, -1131, -7/5, -0.0532 in decreasing order.
-0.0532, -1, -7/5, -1131
Put 10, -1/5, 7, -28, -494, -5 in descending order.
10, 7, -1/5, -5, -28, -494
Sort 0.3, 5, -3.2, -2/181, 2621 in ascending order.
-3.2, -2/181, 0.3, 5, 2621
Sort 3, 11, -4, -333, 4, 7, 5.
-333, -4, 3, 4, 5, 7, 11
Sort -0.2, -1/6, 0.06, -1/3, 4047 in decreasing order.
4047, 0.06, -1/6, -0.2, -1/3
Sort 126, 125, 2, 107 in increasing order.
2, 107, 125, 126
Sort 2, 72, -8, -62, 20 in increasing order.
-62, -8, 2, 20, 72
Sort -5, 28, -19, 1, 0, 2.
-19, -5, 0, 1, 2, 28
Put 1276, -4, 147, 2, 2/7 in increasing order.
-4, 2/7, 2, 147, 1276
Put 1514, 0.2001, -34, 5 in decreasing order.
1514, 5, 0.2001, -34
Sort -316, -7, -248 in descending order.
-7, -248, -316
Put -540, -5, 78, -512 in ascending order.
-540, -512, -5, 78
Sort 9, -1, 0, -38, 8, -4 in descending order.
9, 8, 0, -1, -4, -38
Put 2/11, -144.8, -0.01, 1, -1, -2 in decreasing order.
1, 2/11, -0.01, -1, -2, -144.8
Sort 116, 21, -7, 35 in ascending order.
-7, 21, 35, 116
Sort -6, 2.3961, 5, 0.
-6, 0, 2.3961, 5
Put -5, -0.3, 58/3, 5/3, -2, 26 in descending order.
26, 58/3, 5/3, -0.3, -2, -5
Put 89, 1, 5, -11096 in increasing order.
-11096, 1, 5, 89
Sort 38, -2, 37, 5, -1339 in ascending order.
-1339, -2, 5, 37, 38
Put 1.337, 5, -160 in increasing order.
-160, 1.337, 5
Sort 154, -0.2, 3/3518, -3 in ascending order.
-3, -0.2, 3/3518, 154
Put 70, -4, 2347, 21 in decreasing order.
2347, 70, 21, -4
Put 33, 4, -2/221, 3, -21/16, 3/4 in increasing order.
-21/16, -2/221, 3/4, 3, 4, 33
Put 3, -645, -4, 68 in descending order.
68, 3, -4, -645
Sort 23416265, 3, -5 in decreasing order.
23416265, 3, -5
Put 167, 1.1, -1/9, -13/2, -0.2 in decreasing order.
167, 1.1, -1/9, -0.2, -13/2
Put -5/3, -0.15, 661, -0.5, 3/7 in ascending order.
-5/3, -0.5, -0.15, 3/7, 661
Sort 3, -4, 32, 4, 55, -5, 7 in descending order.
55, 32, 7, 4, 3, -4, -5
Put -3, 204, -11, -5, -10, 12 in decreasing order.
204, 12, -3, -5, -10, -11
Sort -5, 3, 0, -4, 15, 2, -835 in increasing order.
-835, -5, -4, 0, 2, 3, 15
Put -4, -2, -0.19196, 3, -21.2 in ascending order.
-21.2, -4, -2, -0.19196, 3
Sort 3/2, -3/2, -4477, 2/3 in decreasing order.
3/2, 2/3, -3/2, -4477
Put -7, -5, 364, 5, -2, 7 in increasing order.
-7, -5, -2, 5, 7, 364
Sort -38, -3/4, 1/4180, -36 in descending order.
1/4180, -3/4, -36, -38
Put -4, 1, -2137344 in descending order.
1, -4, -2137344
Put -63, -81, -3, -4, 41 in ascending order.
-81, -63, -4, -3, 41
Put 1/3, 13, 0.06832 in descending order.
13, 1/3, 0.06832
Sort -0.06, 0.3, 221/257 in decreasing order.
221/257, 0.3, -0.06
Sort 27547, -0.4, 59 in ascending order.
-0.4, 59, 27547
Put -8, -246, 3, 7683 in ascending order.
-246, -8, 3, 7683
Sort -14, -15, -5, 12, -21, -4, 5 in ascending order.
-21, -15, -14, -5, -4, 5, 12
Sort 1, -4, -6, 20, 27, -1, -18 in descending order.
27, 20, 1, -1, -4, -6, -18
Sort -8, 12, 1, 1296, -1.
-8, -1, 1, 12, 1296
Sort -0.2, -3, 1, 10, 94038 in increasing order.
-3, -0.2, 1, 10, 94038
Put 0.17, -63/16, -0.03, -3, -2/75 in increasing order.
-63/16, -3, -0.03, -2/75, 0.17
Sort 1, 6, 60, 125, -4 in descending order.
125, 60, 6, 1, -4
Sort 65, 72, 9, -1, 1, 4 in ascending order.
-1, 1, 4, 9, 65, 72
Put 0.4, -5, 0.0267, -2789, -2 in ascending order.
-2789, -5, -2, 0.0267, 0.4
Put -4, 8, -6, 1, -2, 0, 8466 in increasing order.
-6, -4, -2, 0, 1, 8, 8466
Sort -3702, -73, 5, 3, 20.
-3702, -73, 3, 5, 20
Put 4, 2, -3739, 0.0602 in ascending order.
-3739, 0.0602, 2, 4
Put 50096, -2, -472 in ascending order.
-472, -2, 50096
Put 792, 683, 0 in ascending order.
0, 683, 792
Put -14, 6840933, 2 in increasing order.
-14, 2, 6840933
Put -5/113, -382, -2 in descending order.
-5/113, -2, -382
Sort -2, 1, -4, -1198597 in descending order.
1, -2, -4, -1198597
Sort -23, 23, -2463, 4, 12.
-2463, -23, 4, 12, 23
Sort 3/4, -4, -30249, 31/5, -3/8.
-30249, -4, -3/8, 3/4, 31/5
Sort 93, -590, -3, -14.
-590, -14, -3, 93
Sort -1, 9, 1/7, -12, -3, 307/21.
-12, -3, -1, 1/7, 9, 307/21
Sort -2/7, -33, -0.5, -3, 1/6, 48 in ascending order.
-33, -3, -0.5, -2/7, 1/6, 48
Sort 5, -115, 17, -29, -5 in decreasing order.
17, 5, -5, -29, -115
Put -3, -5, 13, 32, 3, 5 in increasing order.
-5, -3, 3, 5, 13, 32
Sort 169, 0.4, 0.01, 0.08, 3 in descending order.
169, 3, 0.4, 0.08, 0.01
Put -72, 13, -1, -3, 2, 3 in descending order.
13, 3, 2, -1, -3, -72
Sort -9, -230, -3, -91, -1/4.
-230, -91, -9, -3, -1/4
Put 2, 32, 1, -3, 4, -6, -1 in decreasing order.
32, 4, 2, 1, -1, -3, -6
Sort -3, 5, 6, -1121, 3 in increasing order.
-1121, -3, 3, 5, 6
Put -9, -35, -5, -61, -11, -2, 2 in increasing order.
-61, -35, -11, -9, -5, -2, 2
Put -1018, 0, -2, -108, -4, 4 in descending order.
4, 0, -2, -4, -108, -1018
Sort 10050088, 2, -4.
-4, 2, 10050088
Put -5, -2, -49, -11, 3, 430 in decreasing order.
430, 3, -2, -5, -11, -49
Put 6099, -1/4, 4, -3, 2/45, 1/7 in decreasing order.
6099, 4, 1/7, 2/45, -1/4, -3
Put -21, -34, 85, 3, -4, 0 in decreasing order.
85, 3, 0, -4, -21, -34
Sort 513, 4, 0, -3, -4, 5, 144.
-4, -3, 0, 4, 5, 144, 513
Put 2, 13, 267, -27148 in ascending order.
-27148, 2, 13, 267
Put 2/29, -1.3, 1/7, -1, 2, 108 in ascending order.
-1.3, -1, 2/29, 1/7, 2, 108
Sort 1680036/5, -2/27, -1.
-1, -2/27, 1680036/5
Put -5, 2, 0.31355098 in descending order.
2, 0.31355098, -5
Put 61, -29, 2, 72 in decreasing order.
72, 61, 2, -29
Sort -109, -500/9, 9 in increasing order.
-109, -500/9, 9
Put -50, -86594, 1, 0 in ascending order.
-86594, -50, 0, 1
Sort -19, 340, 5, -5, 1, -230 in decreasing order.
340, 5, 1, -5, -19, -230
Sort 5, 286, 3, -2, 2, 4, 7 in decreasing order.
286, 7, 5, 4, 3, 2, -2
Sort -25, -29, 218.
-29, -25, 218
Put 1, 68, -4.2, -2/21, 9, 0.1 in descending order.
68, 9, 1, 0.1, -2/21, -4.2
Put 2/3, 3, -1.7, 426, -1237 in descending order.
426, 3, 2/3, -1.7, -1237
Put 6, 214, -1189 in decreasing order.
214, 6, -1189
Sort -28266, 49, 53, -1 in decreasing order.
53, 49, -1, -28266
Sort 4, -4, 2, 0, 50, 5, -268 in descending order.
50, 5, 4, 2, 0, -4, -268
Sort -2843, -21, 212 in ascending order.
-2843, -21, 212
Sort -3, 2571/14, -45, 4.
-45, -3, 4, 2571/14
Put -13, -1/1158, -2145.9 in ascending order.
-2145.9, -13, -1/1158
Put -442, -4, 6, 0, 2, -1, -46 in increasing order.
-442, -46, -4, -1, 0, 2, 6
Sort 3, 427, -161757 in decreasing order.
427, 3, -161757
Sort -0.3, 3, -4, 0.6, -2.9 in descending order.
3, 0.6, -0.3, -2.9, -4
Put 4, 1027, -4, -1, 1, 294, -6 in descending order.
1027, 294, 4, 1, -1, -4, -6
Put 118, -13, 26, 133 in descending order.
133, 118, 26, -13
Put -72, 133, 38, 62 in descending order.
133, 62, 38, -72
Put 5157, 3, -1 in descending order.
5157, 3, -1
Put 0.5, 3/7, 2/5, -3452, -62, 2 in decreasing order.
2, 0.5, 3/7, 2/5, -62, -3452
Sort 5, -3476, 2/7, -35.82.
-3476, -35.82, 2/7, 5
Put 78, -21, 1, 5, 5077 in increasing order.
-21, 1, 5, 78, 5077
Put -204, 2/3, -3.3, 291 in decreasing order.
291, 2/3, -3.3, -204
Sort 89, 2, 5516.
2, 89, 5516
Sort -41, -4/33, 0.3, -488, 1.
-488, -41, -4/33, 0.3, 1
Sort 1, 0.021, 12, 0, 234 in descending order.
234, 12, 1, 0.021, 0
Put 7, 47, 9, 5, 4, 10, -3 in increasing order.
-3, 4, 5, 7, 9, 10, 47
Sort -3, 2/221283, 0.094 in ascending order.
-3, 2/221283, 0.094
Sort -6, -32/7, 0.5, -10241, -2/19 in ascending order.
-10241, -6, -32/7, -2/19, 0.5
Sort -803, 0.5, 92, -3, 0 in descending order.
92, 0.5, 0, -3, -803
Put -0.227, 0, -5, 26/1725 in increasing order.
-5, -0.227, 0, 26/1725
Sort 2018, -51, -71, 0.
-71, -51, 0, 2018
Put 1, -92, -2, 0.5, 25.61, -0.056 in increasing order.
-92, -2, -0.056, 0.5, 1, 25.61
Sort 0.04, -3, 0.3, 483290, -5/3 in decreasing order.
483290, 0.3, 0.04, -5/3, -3
Put 2/5, 2, -39725 in ascending order.
-39725, 2/5, 2
Sort -232, -1677, -4 in descending order.
-4, -232, -1677
Sort -33496, 193/5, 4 in descending order.
193/5, 4, -33496
Sort 389, 5, -7130 in increasing order.
-7130, 5, 389
Sort 8, 7, -3, 27, 4, 61.
-3, 4, 7, 8, 27, 61
Put 822182, 6, 5 i
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose -11*v - 18 = -12*v. Suppose -v = 3*a + 57. Does 10 divide (4/(-5) + 0)*a?
True
Suppose -2*l + 401 = 3*x, -4*l - 478 + 47 = -3*x. Is x a multiple of 9?
False
Let h be (-3)/9 - 570/18. Let c = 45 - -17. Let f = c + h. Is 15 a factor of f?
True
Let o(q) = q**3 - 3*q**2 + q - 1. Let r(w) = -w + 16. Let x be r(12). Let y = x - 1. Is 2 a factor of o(y)?
True
Suppose 0 = -7*v + 3*v - 4. Let l be (-48)/(-9)*57 + v. Does 17 divide l/6 - (-1)/2?
True
Let s = 713 - -277. Is 45 a factor of s?
True
Let x(g) = 2*g + 161. Is x(-23) a multiple of 40?
False
Suppose -57 = 3*k - 153. Suppose -k = -27*y + 23*y. Let v = 21 - y. Is v a multiple of 13?
True
Let g = 805 + -310. Is 33 a factor of g?
True
Suppose 0 = -18*k + 22*k + 12, -4*n = -5*k - 10839. Is 82 a factor of n?
True
Does 64 divide ((-172)/(-7))/((-90)/(-945))?
False
Let v(c) = c**3 - 7*c**2 + 11*c + 4. Let z be v(4). Suppose 0 = -2*n - 0*n + y + 26, -4*n + 5*y + 46 = z. Is n a multiple of 13?
False
Suppose -x + 4762 = 5*b, -3*b + 2*x + 2848 = -2*x. Is 21 a factor of b?
False
Let d be (42/(-10))/(10/350). Let p = d - -268. Does 27 divide p?
False
Suppose -2 - 2 = -2*u. Suppose -2*m + 3*c + 54 = u*c, -64 = -2*m - 4*c. Suppose d - m = -0*d. Does 16 divide d?
False
Suppose 10182 = -14*t + 36390. Is t a multiple of 26?
True
Does 46 divide 325975/169 + 10 + 2/13?
False
Suppose 210276 = -19*x + 137*x. Does 9 divide x?
True
Let x = -32 + 29. Is (-1692)/(-13) - x*4/(-78) a multiple of 13?
True
Suppose 3*x = 6*x - v - 268, 5*x - 444 = v. Suppose -4*k + 6*k = x. Suppose 6*n - 400 = k. Does 37 divide n?
True
Let c be (1 - (-94)/6)/((-76)/1710). Let z = -242 - c. Does 11 divide z?
False
Let u(f) = 5*f**2 - 9*f - 106. Is 8 a factor of u(-6)?
True
Is 0 + 2 + 3 + -6 + 463 a multiple of 66?
True
Let o be 20*(84/(-8))/(-7). Let q(i) = -i + 5. Let t be q(3). Suppose t*f = 10 + o. Is 10 a factor of f?
True
Let d(m) = 2*m**2 + 19*m - 20. Let k(f) = -f**2 - 20*f + 21. Let t(w) = 2*d(w) + 3*k(w). Let b be t(19). Let s = b + 40. Is s a multiple of 6?
True
Suppose 0 = -4*j - 4, 0 = -4*p - j + 931 + 3484. Is p a multiple of 8?
True
Let o = 13 - 9. Let y(b) = 2*b**2 - 1 + 34*b**3 + 2 - 6*b**2 + 4*b + 0 - 33*b**3. Is y(o) a multiple of 17?
True
Let h be (4/6)/(2/(-24)). Let t = 28 + h. Is 3 a factor of t?
False
Is 24 a factor of -1195*((-77)/35 - -2)?
False
Let o(i) = 3*i**2 + 18*i - 5. Is 11 a factor of o(-20)?
False
Does 3 divide 4/14 - (0 + 46458/(-126))?
True
Suppose -4*f - 177 = 75. Let m be f/(-54) - (-1)/(-6). Is (m/1)/(5/75) a multiple of 5?
True
Let j(n) = 2*n**2 + n - 216. Is 10 a factor of j(-26)?
True
Suppose 2*l - 110 = -0*l. Is 5 a factor of l?
True
Let h(r) = -2*r**2 + 87*r + 30. Is h(42) a multiple of 13?
True
Let h(t) = t**3 + 13*t**2 - 34*t - 5. Is h(-15) a multiple of 5?
True
Let w(p) be the first derivative of -117*p**4/4 + 2*p**3/3 + p**2 + p + 9. Let q be w(-1). Let u = -68 + q. Is 10 a factor of u?
True
Let d(s) = 18*s**3 + s**2 - 5*s + 5. Let v(t) = -6*t - 4 - 17*t**3 - t**2 + 10*t + 0*t**3. Let x(i) = 4*d(i) + 5*v(i). Does 12 divide x(-1)?
True
Let f = 22 - 22. Suppose g = -2*g - 6, -5*t + 5*g - 775 = f. Let q = 231 + t. Is 32 a factor of q?
False
Let l(o) = o**3 + 14*o**2 + 14*o + 16. Let g be l(-13). Suppose z + z + 416 = g*n, 2*n - z - 277 = 0. Is 6 a factor of n?
True
Let a be (0 - 5) + 6 + 1 + 247. Let d = 449 - a. Is d a multiple of 11?
False
Let d(i) = 3*i - 6. Let m be d(3). Suppose -4*f - 2*h = 2*h - 144, 5*f + m*h = 174. Let b = f + -26. Is 4 a factor of b?
False
Let v = 7 + -4. Let y = v - -1. Suppose 2 = -3*g + 4*x + 47, -y*g = -5*x - 60. Does 11 divide g?
False
Let n be (-1 + 3)*(1 - -1). Let g be 6/n - 315/(-18). Suppose -2*f - 2*d + 13 = -g, -5*d = -2*f - 3. Does 11 divide f?
True
Suppose -3*y + 19995 = 15*x - 11*x, 3*x = -3*y + 14997. Is 102 a factor of x?
True
Suppose 37 = -14*h + 219. Let w = 55 - h. Is w a multiple of 6?
True
Let b be 3 - 0/(3 - 4). Suppose -u = -4*u + m - 29, 2*m = b*u + 28. Does 3 divide (-4)/u + 169/65?
True
Let z(j) = 2*j**3 + 41*j**2 + 46*j - 8. Is z(-16) a multiple of 6?
True
Suppose 5*p = -37 - 3. Does 20 divide ((-203)/(-5) - 1) + p/(-20)?
True
Let s be -3 - (-5)/(15/10404). Suppose -3*o = -0*o + s. Does 12 divide (-3)/18 + o/(-18)?
False
Let t = 190 + 476. Is 54 a factor of t?
False
Let t(s) = -s**3 - 11*s**2 - 23*s + 6. Does 17 divide t(-12)?
False
Let q(s) be the second derivative of 5*s**4/12 - s**3/2 + 13*s. Let y(v) = -v. Let d be y(-4). Is q(d) a multiple of 19?
False
Let d = 84 - 144. Suppose 0 = -i + 129 - 29. Let a = d + i. Is a a multiple of 7?
False
Let m = 1420 - 939. Is m a multiple of 32?
False
Does 25 divide 15 - 610/40 - (-4837)/4?
False
Let k(y) = -74*y - 6. Is 18 a factor of k(-3)?
True
Let t = -130 + 64. Is 10 a factor of 2/11 + (-1308)/t?
True
Let s(d) = 566*d**2 - 2*d - 1. Is s(-1) a multiple of 9?
True
Suppose 0 = 3*t + 3 - 9. Suppose -2*k - 78 = -4*j, -t*j = 2*k - 6*k - 54. Is 7 a factor of j?
False
Let v = 12 + 11. Suppose 5*x - 4*m - 135 = m, 0 = -x - 3*m + v. Does 13 divide x?
True
Let n = 535 - -152. Let b = n + -445. Is b a multiple of 9?
False
Suppose 5*k + 56 - 231 = 0. Let r(b) = -b**3 - 2*b**2 - 2*b. Let c be r(-2). Suppose 0 = x + 5*i - 1, -c*i + k = 3*x - 1. Is 16 a factor of x?
True
Suppose p - 1 = 12. Let g(t) = p*t + 3 - 4 - t**2 + 0 - 5. Is 5 a factor of g(5)?
False
Suppose 4 = 3*t - 3*p - 11, -t = 2*p - 14. Suppose 0 = -11*q + t*q + 21. Is q a multiple of 7?
True
Suppose 25*j = 31*j - 756. Is 21 a factor of j?
True
Suppose -3*g - 762 = u, -5*g + 3048 = -4*u - 0*g. Let y = -385 - u. Suppose 5*q - y + 27 = 0. Is q a multiple of 25?
False
Suppose -6 = 2*q + 24. Let g(z) = z**2 + 6*z - 13. Is g(q) a multiple of 25?
False
Suppose 2*q + 2 = -2*d, 0*q = -2*d + 2*q + 18. Suppose 13 = d*x - 3*y, -5*x + 4*y + 9 + 7 = 0. Suppose b + 2*t + x = 21, -4*b + 98 = 2*t. Is b a multiple of 9?
True
Let t(c) = 5*c**2 - 16*c - 25. Does 2 divide t(5)?
True
Let h = 526 - -464. Is 90 a factor of h?
True
Suppose -4*a = 3*k - 5310, 0 = -5*k + 9*k + 5*a - 7080. Is k a multiple of 59?
True
Let t be (-58)/(-4) - 4*(-4)/32. Is (t/4)/((-48)/(-512)) a multiple of 5?
True
Let h(j) = 4*j**2 - j + 2. Suppose -4*k - 5*t - 3 = -44, 5*t - 25 = 0. Let l be (-6)/k*(-16)/12. Does 11 divide h(l)?
False
Suppose 10222 + 15608 = 9*n. Is n a multiple of 10?
True
Let h = 525 - 481. Is 2 a factor of h?
True
Is 8 a factor of 76/114 + (1568/6 - -1)?
False
Let z(t) = -t**2 + 5*t + 9. Let f(a) = 6*a**3 + a**2 - 3*a + 2. Let m be f(1). Let b be z(m). Does 2 divide 3/9 - (-38)/b?
False
Let m be -8*((-1)/10 - (-9)/15). Is 33 a factor of m + (5 - 4)/((-1)/(-268))?
True
Suppose s - 5*r = -5 + 65, 3*r + 66 = s. Is s a multiple of 15?
True
Let u(a) = -47*a + 42. Does 32 divide u(-10)?
True
Let h(q) = 8*q + 144. Does 6 divide h(30)?
True
Let a(w) = 45*w**2 - 33*w + 2. Does 11 divide a(3)?
True
Let l(g) = 3*g**2 - 2*g - 7. Let r be l(-3). Does 9 divide (-4)/r + (-714)/(-78)?
True
Let g(z) = 2*z**3 - 13*z**2 + 13*z + 14. Is 8 a factor of g(9)?
True
Let j(y) = 12*y**3 + 3*y**2 - 3*y + 1. Let s be (-1003)/(-34) + 2/(-4). Let w = -27 + s. Is j(w) a multiple of 31?
False
Suppose -331 = -w - 7*k + 5*k, 3*w - 961 = 2*k. Is w a multiple of 22?
False
Does 12 divide (-36)/(-42) + 5313/147?
False
Let c = 61 + -21. Suppose a - 2*r - 31 = 0, 3*r = -2*a + c - 6. Does 3 divide a?
False
Let q = -172 + 172. Let b be (-195)/(-21) + (-2)/7. Suppose -11*m + b*m + 42 = q. Is m a multiple of 18?
False
Let p = 4142 + -2830. Is p a multiple of 22?
False
Let i = 9 - 29. Let s be (408/i - -3)*-5. Suppose f - 9 = s. Is 27 a factor of f?
False
Let o = 3 - 0. Let n be (-1)/(o - (-133)/(-44)). Suppose -9*l + n = -7*l. Does 11 divide l?
True
Suppose -447 = -3*i - 4*n + n, -2*i + 4*n = -286. Is 33 a factor of i?
False
Suppose 0 = 2*m + 4*j + 18, j + 72 = -6*m + m. Let v = -10 - m. Does 2 divide v?
False
Let t(i) = -i**2 + 4*i - 2. Let r = 7 - 3. Let h be t(r). Is (h - -1) + (-1 - -32) a multiple of 9?
False
Suppose -308 = -q - 62. Is q a multiple of 41?
True
Let h(m) = -m**3 + 9*m**2 + 10*m + 9. Let y be 4/16 + (-39)/(-4). Does 3 divide h(y)?
True
Is (-20)/60 + -88*4/(-3) a multiple of 39?
True
Let s = -41 + 18. Suppose -l = q + 51, 82 = -0*l - 2*l + 2*q. Let f = s - l. Does 7 divide f?
False
Suppose y
|
{
"pile_set_name": "DM Mathematics"
}
|
18b (base 12) in base 15?
11b
Convert -134 (base 12) to base 7.
-352
Convert -5 (base 13) to base 6.
-5
What is -1 (base 12) in base 3?
-1
Convert 2 (base 15) to base 14.
2
-2040 (base 5) to base 16
-10e
3 (base 4) to base 8
3
What is -10 (base 3) in base 2?
-11
115 (base 12) to base 11
137
What is 10 (base 2) in base 14?
2
Convert 0 (base 4) to base 9.
0
Convert -11 (base 2) to base 3.
-10
Convert 11 (base 7) to base 13.
8
Convert 4 (base 6) to base 2.
100
-111011 (base 2) to base 11
-54
What is 5 (base 8) in base 6?
5
Convert -3 (base 8) to base 5.
-3
What is -100 (base 2) in base 10?
-4
What is 110 (base 2) in base 10?
6
-2 (base 11) to base 5
-2
What is -11 (base 3) in base 5?
-4
16 (base 16) to base 5
42
-1000 (base 3) to base 4
-123
What is 14 (base 16) in base 7?
26
5 (base 6) to base 14
5
What is 6 (base 12) in base 8?
6
What is 33 (base 6) in base 10?
21
-133 (base 10) to base 13
-a3
Convert -1 (base 2) to base 10.
-1
110011 (base 2) to base 5
201
27 (base 12) to base 10
31
322 (base 4) to base 9
64
What is 1001011 (base 2) in base 16?
4b
What is 11 (base 2) in base 5?
3
What is 4 (base 14) in base 11?
4
1100 (base 2) to base 7
15
What is -10110 (base 2) in base 9?
-24
Convert 120 (base 5) to base 12.
2b
Convert 10 (base 3) to base 15.
3
What is -4 (base 7) in base 15?
-4
-121 (base 3) to base 10
-16
1424 (base 5) to base 12
17b
Convert 10 (base 7) to base 4.
13
148 (base 12) to base 16
c8
What is -4 (base 12) in base 9?
-4
11 (base 2) to base 5
3
Convert 27 (base 10) to base 16.
1b
What is -100 (base 5) in base 4?
-121
Convert -4b (base 14) to base 5.
-232
-10 (base 10) to base 12
-a
Convert 2 (base 13) to base 9.
2
-3 (base 5) to base 16
-3
Convert 1 (base 9) to base 8.
1
-24 (base 8) to base 10
-20
What is 8 (base 13) in base 16?
8
Convert 110 (base 5) to base 2.
11110
What is -18 (base 15) in base 8?
-27
-4 (base 15) to base 10
-4
-4 (base 13) to base 14
-4
Convert 10101 (base 2) to base 16.
15
-3 (base 14) to base 15
-3
4 (base 5) to base 6
4
What is 135 (base 10) in base 5?
1020
Convert 4 (base 11) to base 12.
4
What is 0 (base 5) in base 9?
0
Convert 10 (base 8) to base 14.
8
What is 7 (base 13) in base 15?
7
2 (base 9) to base 11
2
4 (base 13) to base 10
4
What is -73 (base 11) in base 13?
-62
-90 (base 12) to base 6
-300
What is -2 (base 4) in base 10?
-2
What is -52 (base 7) in base 9?
-41
What is 5 (base 15) in base 14?
5
Convert 5 (base 11) to base 7.
5
Convert 2 (base 14) to base 16.
2
Convert 13 (base 4) to base 8.
7
-44 (base 10) to base 7
-62
Convert 1 (base 3) to base 8.
1
1 (base 13) to base 8
1
What is -3 (base 11) in base 13?
-3
What is -106 (base 11) in base 9?
-151
3 (base 12) to base 5
3
What is -5 (base 8) in base 10?
-5
What is 0 (base 3) in base 9?
0
What is -10 (base 7) in base 14?
-7
4 (base 6) to base 11
4
a3 (base 15) to base 8
231
-42 (base 14) to base 15
-3d
Convert 24 (base 6) to base 14.
12
2 (base 15) to base 4
2
10 (base 3) to base 10
3
-5 (base 10) to base 4
-11
Convert 70 (base 10) to base 8.
106
-14 (base 5) to base 16
-9
Convert -10 (base 7) to base 10.
-7
Convert 28 (base 15) to base 11.
35
Convert -2 (base 12) to base 2.
-10
Convert 113 (base 5) to base 7.
45
12 (base 5) to base 3
21
What is 10001100 (base 2) in base 4?
2030
What is -20 (base 6) in base 7?
-15
Convert 51 (base 8) to base 4.
221
65 (base 15) to base 10
95
5 (base 6) to base 3
12
Convert 22 (base 4) to base 11.
a
Convert -29 (base 10) to base 14.
-21
-141 (base 5) to base 4
-232
452 (base 6) to base 13
107
Convert -3 (base 14) to base 6.
-3
What is 2 (base 13) in base 16?
2
3 (base 7) to base 5
3
What is 13b (base 12) in base 4?
2333
-15 (base 12) to base 15
-12
-3 (base 11) to base 6
-3
0 (base 13) to base 3
0
What is -2 (base 9) in base 13?
-2
What is 17 (base 15) in base 12?
1a
-67 (base 8) to base 16
-37
Convert -66 (base 8) to base 11.
-4a
What is -11111 (base 2) in base 16?
-1f
Convert -13 (base 4) to base 10.
-7
10300 (base 4) to base 11
257
1 (base 5) to base 9
1
Convert 1a (base 15) to base 13.
1c
5 (base 15) to base 8
5
What is -23 (base 11) in base 2?
-11001
What is 1a1 (base 12) in base 8?
411
-21120 (base 3) to base 6
-540
Convert a (base 11) to base 14.
a
What is -68 (base 12) in base 10?
-80
What is -1 (base 4) in base 6?
-1
8 (base 9) to base 13
8
-1000 (base 2) to base 9
-8
Convert -3 (base 10) to base 9.
-3
What is 1 (base 5) in base 9?
1
Convert 11002 (base 3) to base 12.
92
-10 (base 14) to base 12
-12
137 (base 12) to base 2
10111011
Convert 1 (base 16) to base 9.
1
What is 37 (base 15) in base 7?
103
What is -10102 (base 3) in base 5?
-332
Convert 124 (base 5) to base 13.
30
What is -1011100 (base 2) in base 5?
-332
Convert 1022 (base 6) to base 13.
149
What is -7 (base 9) in base 11?
-7
-3 (base 8) to base 10
-3
Convert 10 (base 7) to base 2.
111
What is 104 (base 8) in base 13?
53
Convert -3 (base 14) to base 6.
-3
Convert -2 (base 15) to base 9.
-2
Convert -7 (base 12) to base 9.
-7
What is -10011 (base 2) in base 12?
-17
Convert -101 (base 2) to base 14.
-5
What is c (base 16) in base 3?
110
What is 10 (base 4) in base 9?
4
What is 34 (base 8) in base 12?
24
0 (base 13) to base 5
0
Convert 2 (base 5) to base 13.
2
-2 (base 4) to base 12
-2
Convert -3 (base 13) to base 15.
-3
9 (base 13) to base 12
9
Convert 40 (base 9) to base 14.
28
Convert -12 (base 5) to base 2.
-111
5 (base 14) to base 4
11
Convert -9 (base 10) to base 16.
-9
What is -61 (base 7) in base 12?
-37
5 (base 6) to base 2
101
38 (base 9) to base 6
55
Convert 4 (base 13) to base 16.
4
What is -5 (base 10) in base 11?
-5
33 (base 6) to base 10
21
What is -5 (base 6) in base 2?
-101
What is -4 (base 13) in base 3?
-11
Convert -57 (base 16) to base 11.
-7a
What is -144 (base 10) in base 2?
-10010000
-5 (base 7) to base 3
-12
Convert -2 (base 4) to base 9.
-2
-29 (base 12) to base 10
-33
1 (base 12) to base 16
1
What is 3 (base 11) in base 15?
3
Convert -435 (base 7) to base 5.
-1342
What is -21 (base 3) in base 2?
-111
-312 (base 4) to base 10
-54
-117 (base 9) to base 15
-67
Convert 3 (base 12) to base 4.
3
Convert -4 (base 9) to base 13.
-4
What is -23 (base 7) in base 15?
-12
-102 (base 3) to base 11
-10
Convert -74 (base 11) to base 10.
-81
Convert -6 (base 9) to base 6.
-10
Convert -25 (base 13) to base 14.
-23
Convert -3 (base 8) to base 6.
-3
What is 660 (base 7) in base 9?
413
Convert 1 (base 8) to base 14.
1
Convert -247 (base 8) to base 16.
-a7
Convert 7 (base 10) to base 12.
7
42 (base 8) to base 14
26
12 (base 11) to base 15
d
What is -1 (base 15) in base 12?
-1
What is 211 (base 4) in base 11?
34
Convert -1200 (base 3) to base 10.
-45
Convert -15 (base 7) to base 10.
-12
-101 (base 2) to base 10
-5
Convert -50 (base 12) to base 13.
-48
What is -22 (base 6) in base 15?
-e
-15 (base 9) to base 10
-14
Convert -62 (base 12) to base 3.
-2202
Convert 1 (base 6) to base 8.
1
Convert 0 (base 6) to base 5.
0
What is -10 (base 3) in base 12?
-3
Convert 5 (base 8) to base 4.
11
Convert -a (base 15) to base 11.
-a
-2110 (base 3) to base 14
-4a
244 (base 6) to base 15
6a
What is 20210 (base 3) in base 15?
c3
10 (base 3) to base 4
3
Convert -181 (base 9) to base 11.
-130
What is 4 (base 15) in base 11?
4
What is 2 (base 14) in base 9?
2
-121 (base 3) to base 2
-10000
Convert -b (base 14) to base 6.
-15
What is 0 (base 9) in base 14?
0
-c9 (base 16) to base 12
-149
Convert 88 (base 15) to base 14.
92
Convert 11100 (base 2) to base 3.
1001
What is -15 (base 12) in base 16?
-11
What is -13 (base 6) in base 9?
-10
-1 (base 15) to base 6
-1
-3b (base 16) to base 4
-323
-20 (base 3) to base 13
-6
-102 (base 12) to base 16
-92
Convert 3 (base 9) to base 13.
3
What is 1 (base 12) in base 9?
1
Convert -1010100 (base 2) to base 10.
-84
Convert 2 (base 3) to base 8.
2
-1210 (base 3) to base 11
-44
Convert 32 (base 5) to base 2.
10001
Convert 1 (base 7) to base 13.
1
-1212 (base 3) to base 10
-50
Convert -2001 (base 3) to base 16.
-37
Convert 0 (base 5) to base 16.
0
-4 (base 12) to base 9
-4
Convert -10 (base 8) to base 5.
-13
Convert -2 (base 14) to base 3.
-2
Convert -7 (base 12) to base 8.
-7
What is 70 (base 12) in base 14?
60
-100 (base 4) to base 5
-31
What is 1 (base 5) in base 15?
1
Convert b (base 16) to base 4.
23
18 (base 14) to base 9
24
|
{
"pile_set_name": "DM Mathematics"
}
|
8*r = -4*t + 7*r + 24. Suppose -s + y = t*s. Calculate the remainder when 4 is divided by s.
1
Suppose -4*u + 2*i + 403 = 3*i, 0 = 2*u + 4*i - 184. Suppose -2*c - 3*q + u = -8*q, -4 = -q. What is the remainder when c is divided by 16?
13
Suppose -3*v = 3*f - 309, -2*v - 204 = -2*f - 6*v. Calculate the remainder when f is divided by 40.
24
Suppose -414 = -2*m - k, 3*m - 16*k = -21*k + 635. Calculate the remainder when m is divided by 70.
65
Let m(g) = g**2 - 13*g + 96. What is the remainder when m(-14) is divided by 68?
66
Let z(r) = -r**3 - 13*r**2 - 10*r + 23. Let u be z(-12). What is the remainder when -1 + (3 - (2 + u)) - -22 is divided by 15?
8
Let k = -380 - -749. What is the remainder when k is divided by 7?
5
Let c(i) = 9*i - 164. What is the remainder when c(33) is divided by 17?
14
Let h = -15 - 57. What is the remainder when (-3)/4*h/27 is divided by 2?
0
Let j = -10 + 73. Let t = -4 + 11. Calculate the remainder when 33 is divided by (1/1)/(t/j).
6
Calculate the remainder when 62 is divided by (-20)/(-45) + (-366)/(-27).
6
Let d(x) = -x - 2. Suppose 9 = 3*f - 6. Let b be d(f). Calculate the remainder when (b + 15)/(4/18) is divided by 10.
6
Suppose 0 = 4*n - 6 - 6. Let u be (1 - n)*26/4. Let t = 32 - u. What is the remainder when t is divided by 12?
9
Let h(c) be the second derivative of -c**3/3 + 13*c**2/2 - 8*c. Let g be h(6). What is the remainder when ((-4)/(-12))/(g/255) is divided by 29?
27
Suppose 5*q + 2*y - 92 = 0, -2*q - y + 16 = -q. Suppose 415*v = 405*v + 340. What is the remainder when v is divided by q?
14
Suppose -3*n + 4*s = -5, -5*n + 4*n = -3*s + 5. Suppose n*b = 55 + 36. Calculate the remainder when 20 is divided by b.
7
Let d = -22 + 19. Let v(f) = -f**3 - 3*f**2 - 2*f - 1. Calculate the remainder when 20 is divided by v(d).
0
Suppose 140*s - 440 = 52*s. What is the remainder when 62 is divided by s?
2
Let l = 12 + -4. What is the remainder when 66 is divided by l?
2
Suppose 3*z = 34 + 41. Calculate the remainder when z is divided by (99/15 + -3)*(-45)/(-18).
7
Let m = -675 + 1044. Calculate the remainder when m is divided by 37.
36
Let c = 423 + -291. What is the remainder when c is divided by 27?
24
Let w(c) = -3*c - 11 + 23 + c. What is the remainder when w(-3) is divided by 16?
2
Suppose 5*o - j - 47 = 0, 20 = 3*o - 5*j + 5. Calculate the remainder when 105 is divided by o.
5
Let u(x) = -7*x**2 + 56*x + 14. Calculate the remainder when 222 is divided by u(8).
12
Let u(a) = 2*a**2 + 88*a - 1000. Let c(p) = 2*p**3 - 4*p**2 + 4*p - 3. Calculate the remainder when u(10) is divided by c(3).
26
Suppose x + a + 5 = -a, -4*x + 13 = -3*a. Suppose 5*y = 59 + x. What is the remainder when y is divided by 3?
0
Suppose -5*h = 2*a - 66, -3*h + 3*a + 49 = 1. Suppose 3*m + k = 4*k + 204, -2*m + 141 = -3*k. Let c = m + -37. What is the remainder when c is divided by h?
12
Suppose -80 = -15*n + 340. Calculate the remainder when 698 is divided by n.
26
Suppose o - 9 = 3*x, 4*o + 3*x + 18 = 8*o. Suppose p + 5 = u - 2*p, 5*p = -o*u + 57. Calculate the remainder when 23 is divided by u.
9
Suppose 34 - 46 = -3*i. Suppose 0 = i*p + 4, 0 = d + 3*d - 4*p - 72. Calculate the remainder when 66 is divided by d.
15
Let j = 521 - 383. Calculate the remainder when j is divided by 10.
8
Let c = 2 - 1. Let h(a) = 7*a**3 - a**2 + a. Let q be h(c). Suppose -4*b + 2*f + 90 = 0, -q = f - 2. What is the remainder when 56 is divided by b?
16
Suppose 95 = 4*w - s, -3*w = -3*s - 20 - 58. Suppose 4*x = 0, 3*f + 5*x = x + 36. Calculate the remainder when w is divided by f.
11
Suppose 4*s - 10*s = -900. Let i = 81 + -43. Calculate the remainder when s is divided by i.
36
Suppose 0 = w - 0*w. Let q(t) = t - 8. Let m be q(w). Let u(x) = -x**2 - 10*x + 3. What is the remainder when 36 is divided by u(m)?
17
What is the remainder when 1317 is divided by ((-1424)/18)/(-4) - 6/(-27)?
17
Let r(b) = 56*b + 1. Let l be r(-1). Let o = l - -85. What is the remainder when o is divided by 8?
6
Let o = 1 - -11. What is the remainder when 44 is divided by o?
8
Let w(l) = -8*l**3 - 35*l**2 - l + 6. Calculate the remainder when w(-5) is divided by 12.
4
Suppose -3*v = -2*m - 160, 148 = 3*v - m - 4*m. Suppose -3*s - 44 = -4*f + v, 25 = f + 3*s. What is the remainder when f is divided by 16?
9
Suppose -2*i = -i - 21. Suppose -73 = -d - i. Let f = -37 - -64. What is the remainder when d is divided by f?
25
Suppose 9*p - 6 = 7*p, -4*i + p + 105 = 0. Calculate the remainder when 284 is divided by i.
14
What is the remainder when 131 is divided by 130/2 + (11 - 8)/3?
65
Suppose 0 = -i - 2*h + 97, 5*i - 3*h - 492 = -6*h. Calculate the remainder when 393 is divided by i.
96
Suppose 0 = -4*i - 0*f - f + 1853, 0 = 5*i - f - 2323. What is the remainder when i is divided by 117?
113
Let q(y) = -6*y**2 - 3*y - 13. Let a(c) = 12*c**2 + 6*c + 25. Let o(f) = 4*a(f) + 7*q(f). What is the remainder when o(-3) is divided by 19?
16
Calculate the remainder when 9/(-6) - 2743/(-26) is divided by 24.
8
Suppose -9*t + 4*t = -15. Suppose n = -2*n + 30. Suppose 2*s = 4*i - 4, -5*s - 4*i - n = -70. Calculate the remainder when s is divided by t.
2
What is the remainder when 179 is divided by -2 + (3 - -2) + 9?
11
Let m = 225 + -187. What is the remainder when m is divided by 15?
8
Let g(z) = z**3 - z**2 + 3*z - 10. Calculate the remainder when 144 is divided by g(4).
44
Let u = -796 - -853. What is the remainder when 206 is divided by u?
35
Let o(i) = 2*i + 7. Let b = -23 - -27. Calculate the remainder when b is divided by o(-3).
0
Let k(c) be the third derivative of -c**6/120 - 19*c**5/60 - c**4/12 + 5*c**3/3 - 3*c**2. Calculate the remainder when k(-19) is divided by 18.
12
Let o(k) = 15*k**3 + k**2 - 3*k + 3. Let b be o(2). Let r = b - 9. What is the remainder when r is divided by 23?
20
Let w be 1/3 - 682/(-6). Suppose 3*y - 360 = -w. Suppose -y = c - 3*c + 3*u, 2*u = 3*c - 128. What is the remainder when c is divided by 23?
21
Let k(l) = l**3 + 6*l**2 - 2*l + 38. What is the remainder when k(0) is divided by (-2)/(48/(-21) - -2)?
3
Let n(w) be the third derivative of 0*w + 5/6*w**3 - w**2 + 0 + 5/24*w**4 + 2/15*w**5 + 1/120*w**6. Calculate the remainder when 54 is divided by n(-7).
16
Let a(i) = -i**3 + 24*i**2 + 22*i + 42. Let v be a(25). Suppose 5*o - 132 - 153 = 0. Let u = v + o. What is the remainder when 69 is divided by u?
21
Let b be ((-72)/(-2))/(4/6). Suppose -39*s + 12 = -37*s. Suppose -p + s = 3*g - b, -4*g = -2*p - 70. What is the remainder when 94 is divided by g?
18
Let t(u) = -u**3 + 9*u**2 - 7*u - 4. Let n be t(6). Suppose -4*c + 2*c + n = 0. What is the remainder when 153 is divided by c?
29
Let t = -739 - -838. Suppose -2*k = -k - 25. What is the remainder when t is divided by k?
24
Let t(m) = 6*m + 5. Suppose 2*k - 4*x = 152, -273 = 44*k - 47*k - 3*x. What is the remainder when k is divided by t(4)?
28
Let d(m) = -m**2 + 14*m + 22. Let o(r) = r**2 + r + 1. Let q(f) = -d(f) - 2*o(f). Calculate the remainder when q(-9) is divided by 6.
3
Let j be (-3 - -8)*(-6)/2. Let w = 28 + j. Calculate the remainder when 21 is divided by w.
8
Suppose 3*k + 2*z - 58 - 36 = 0, -5*z = -5*k + 190. Suppose -y + 8 + k = 0. Calculate the remainder when y is divided by 11.
9
Let h be 6286/34 - (-16)/136. Suppose -65*z = -60*z - h. What is the remainder when 71 is divided by z?
34
Let t(w) = w**3 + 5*w**2 + 2*w + 1. Let i = 0 - 4. What is the remainder when 15 is divided by t(i)?
6
Suppose 3*l = -3*p + 12, l - 4 = -2*p - 3*p. Let y(h) = -22*h + 16. Let m be y(7). Calculate the remainder when ((-4)/6)/(l/m) is divided by 13.
10
Suppose 3*m - 75 = 246. Suppose 0 = -a - a + 3*b + m, 3*b = -3*a + 153. Suppose 5*i = 3*i + a. What is the remainder when i is divided by 7?
5
Suppose 707 = 3*w + 647. Calculate the remainder when 1237 is divided by w.
17
Suppose 8*a + 484 - 3428 = 0. Calculate the remainder when a is divided by 37.
35
Suppose -21*m + 8*m = -78. What is the remainder when 17 is divided by m?
5
Let s(k) = -6*k**2 - 14*k**3 + 2 - k + 13*k**3 - 3. Let j(v) = -v**3 - v + 4. Let r be j(2). Calculate the remainder when s(r) is divided by 4.
1
Let l = -29 - -33. Suppose l*g + k = 2*g + 94, 3*g - 3*k - 150 = 0. Calculate the remainder when g is divided by 10.
8
What is the remainder when 16 i
|
{
"pile_set_name": "DM Mathematics"
}
|
hich is bigger: -1 or -9/6298?
-9/6298
Which is greater: 2/9 or -39613?
2/9
Which is greater: -439/57 or -9?
-439/57
Which is smaller: -293/278 or -1?
-293/278
Which is greater: 30139 or 30161?
30161
Is -32 less than or equal to -5543?
False
Is 735764 != 0.1?
True
Is 65872 bigger than 65862?
True
Is -143/67866 at most as big as 1?
True
Which is smaller: -57376 or -57377?
-57377
Is 137852 >= 137851?
True
Does 1460 = 45282/31?
False
Which is smaller: 1 or -3/5300?
-3/5300
Which is smaller: 2224 or -41?
-41
Is -73464 >= -514239/7?
False
Is -36781 less than -36782?
False
Which is greater: -24996 or -49993/2?
-24996
Which is smaller: 1/2 or 2.378?
1/2
Do 470589 and 470586 have the same value?
False
Is -7611673 at least -7611672?
False
Is 219/8332 smaller than -1?
False
Which is bigger: 20.05 or 0.15?
20.05
Does -1 = -805/589?
False
Is 58 less than -57/16?
False
Which is bigger: -12 or 504?
504
Is 107/2214 < 1?
True
Which is smaller: 3737871 or 3737872?
3737871
Is -2/6613815 less than -1?
False
Which is smaller: -4311 or -4296?
-4311
Are -2/11 and -188/109 non-equal?
True
Which is smaller: 91811 or 91809?
91809
Which is smaller: -732315 or -732314?
-732315
Which is greater: 0.01 or 0.01907?
0.01907
Is -1143273 at least as big as -1143275?
True
Do -31/6728 and 0 have different values?
True
Which is greater: 1/5 or -13/10?
1/5
Which is smaller: -745/31 or -23?
-745/31
Which is bigger: 37806 or 37888?
37888
Is 3585 < 3585?
False
Is 631/22 at least as big as 28?
True
Does 94999 = 94999?
True
Is -1234 > -1242?
True
Which is smaller: 1104340/11 or 100395?
1104340/11
Is 40391 bigger than 40391?
False
Is -2/3 bigger than -48548?
True
Is 531603/2 greater than 265802?
False
Which is bigger: 154173 or 154165?
154173
Which is bigger: 55 or 46?
55
Are 0 and 475/23586 nonequal?
True
Which is smaller: -1/657338 or 0?
-1/657338
Are -8142 and 2 nonequal?
True
Which is smaller: -1 or 401131?
-1
Is 52132 at most 52131?
False
Is 1 smaller than -11.4?
False
Which is greater: -14052 or 2/9?
2/9
Does 4 = -707/12?
False
Is -2826 greater than -1/93?
False
Which is smaller: 11 or 545/52?
545/52
Are 5585 and 5582 equal?
False
Is -1/5 != 7/330?
True
Which is smaller: -17644/7 or -2521?
-2521
Is -822/12965 at most -1?
False
Is 14649 at most 28?
False
Is 80834 >= 80836?
False
Which is greater: -10709 or -10726?
-10709
Are 621 and 614 equal?
False
Is 2222 less than or equal to 2192?
False
Is 59616 equal to 59624?
False
Is 22/51541 greater than or equal to -1?
True
Which is greater: 2/7 or -215209?
2/7
Which is greater: -9921/4 or -2481?
-9921/4
Is -747 not equal to 2?
True
Is -2/1224553 greater than or equal to 0?
False
Which is smaller: 799586/7 or 114226?
114226
Is 695387 > 695388?
False
Which is smaller: 10499 or 10498?
10498
Is -1 >= 2/153421?
False
Is 16498 equal to 16490?
False
Is 120.4 at most -2/9?
False
Which is bigger: -224 or 0.161?
0.161
Is 5309/1024 at most 6?
True
Which is bigger: -1 or -48/4621?
-48/4621
Is 394 greater than or equal to 145?
True
Is -40093 greater than -40095?
True
Is 269278 less than 269279?
True
Which is greater: -12 or -396/37?
-396/37
Which is greater: 3 or 327/173?
3
Which is smaller: -1766 or 122?
-1766
Which is smaller: -57350 or -57349?
-57350
Is -45261 smaller than -45307?
False
Is -1448 less than -1445?
True
Which is greater: -2104 or -24?
-24
Which is bigger: 12222 or 12187?
12222
Is -71606 at most as big as -71606?
True
Which is greater: 1488801/4 or 372201?
372201
Is 20 smaller than 2236/113?
False
Which is smaller: -0.0197716 or -1?
-1
Is -1324350 at least as big as -1324350?
True
Are 4/3 and 109 non-equal?
True
Are 7090 and 7105 unequal?
True
Which is bigger: -311866 or -7/4?
-7/4
Is 0 less than -1/103192?
False
Which is bigger: 8904090 or 8904091?
8904091
Do 0.1 and -1/183468 have the same value?
False
Do -4 and 17378 have different values?
True
Which is smaller: 0.1087 or -0.05206?
-0.05206
Are 15513 and -1 equal?
False
Which is smaller: -226/11645 or 0?
-226/11645
Do -12 and -1770/151 have the same value?
False
Which is bigger: 0 or 215588.5?
215588.5
Is 32267 < 32283?
True
Is 197/7 at most 1536?
True
Which is bigger: 114 or -13518?
114
Which is greater: 4/127 or -473?
4/127
Which is greater: -0.09023 or 2/7?
2/7
Is 31/6396 greater than or equal to 0?
True
Which is greater: -162.26 or 1.2?
1.2
Which is bigger: 14 or -275984?
14
Which is smaller: -2 or -1267/22?
-1267/22
Which is bigger: -15847 or -15850?
-15847
Which is bigger: -41827 or -41828?
-41827
Is 4220 at least as big as 16881/4?
False
Is -13006 at most -13009?
False
Which is bigger: 0.1 or -42213?
0.1
Which is bigger: -270 or 5.5?
5.5
Are 2369504 and 2369504 equal?
True
Which is bigger: 1617285 or 1617286?
1617286
Is -941/102 less than or equal to -8?
True
Which is bigger: 2/71491 or 2?
2
Which is smaller: -70782 or -212348/3?
-212348/3
Which is bigger: -1 or 90/32597?
90/32597
Which is greater: -3 or 7/141460?
7/141460
Is 0 at most 2/552067?
True
Is -119532 not equal to 0?
True
Is 9/401 equal to 3/2?
False
Which is greater: 400407 or 400406?
400407
Which is greater: -3610 or -3630?
-3610
Which is bigger: -145 or -7227/50?
-7227/50
Which is smaller: -3784/123 or -30?
-3784/123
Which is greater: -112594/47 or -2395?
-2395
Which is bigger: -996 or -1139?
-996
Which is greater: -274679 or -274672?
-274672
Which is greater: -158/6291 or 1?
1
Is -1/21 greater than 742.4?
False
Is -3/450785 bigger than 0?
False
Is 2569 <= 2555?
False
Is 71/17225 > 0?
True
Is -107076/23 greater than or equal to 1/2?
False
Which is smaller: 0.06 or 2.5109?
0.06
Which is smaller: 3/236 or -0.1?
-0.1
Which is smaller: -13677 or -13683?
-13683
Is 410604 at most as big as 410597?
False
Which is bigger: -2799/190 or -16?
-2799/190
Is -101092/5 bigger than -20219?
True
Is 17194 at most 17157?
False
Is 28/965 at least as big as 0?
True
Is -15580 <= -155793/10?
True
Is -59 greater than 447?
False
Which is bigger: 114640/131 or 874?
114640/131
Which is bigger: 0 or 222/39431?
222/39431
Is -35782 equal to -35784?
False
Is -235246 at most 1.3?
True
Which is greater: -38085 or -38086?
-38085
Which is bigger: -16981 or -16982?
-16981
Which is greater: -83142 or -83143?
-83142
Which is bigger: -1 or -5/28962?
-5/28962
Which is greater: 481 or 99?
481
Which is smaller: -589907 or -589906?
-589907
Is -0.08758 <= 0.2?
True
Which is smaller: 73535 or 73520?
73520
Which is smaller: 1668 or -11?
-11
Is 280289 greater than 280289?
False
Which is greater: 6486 or 6228?
6486
Is -301 bigger than -585?
True
Which is smaller: -8102 or -8105?
-8105
Is 78782 bigger than -3?
True
Which is bigger: -114 or -29291?
-114
Is 6 at most -35613/4?
False
Is 14/540851 greater than or equal to -1?
True
Which is smaller: 110 or 1353?
110
Does -272725 = -2727261/10?
False
Which is smaller: 257 or 3325/13?
3325/13
Is 2/89 bigger than 3889?
False
Is -74162 greater than or equal to -74145?
False
Is 73 greater than 3580/49?
False
Which is smaller: -1671 or -48458/29?
-1671
Is 32318 less than 743322/23?
True
Which is greater: -446/271 or -3?
-446/271
Which is greater: 1213150 or 1213151?
1213151
Which is smaller: 1254/739 or 2?
1254/739
Which is smaller: -1188/23 or 0.4?
-1188/23
Which is bigger: 284/14933 or -1?
284/14933
Is -0.05 equal to -0.060864?
False
Is -913462 at least as big as -1/2?
False
Which is bigger: 5822 or 5476?
5822
Which is smaller: 64 or 142?
64
Is 51/2245 at least as big as -1?
True
Is 419144 less than or equal to 419144?
True
Which is greater: 3135 or 3238?
3238
Which is bigger: -13653/49 or -278?
-278
Which is smaller: 1 or 6/17641?
6/17641
Is -199/187 > 0?
False
Do -0.03 and -1030.8 have the same value?
False
Which is greater: -85/24 or -6/17?
-6/17
Which is smaller: 0 or 100851?
0
Is -1 smaller than 1/14283367?
True
Which is smaller: -2.2 or -120/233?
-2.2
Is -1834446 not equal to -1834445?
True
Which is smaller: -1754 or -198114/113?
-1754
Is -31452/7 >= -4492?
False
Is 3.67 <= 130?
True
Which is smaller: 0 or -2/48899?
-2/48899
Are 125712 and 0.1 nonequal?
True
Is -11574 <= -11569?
True
Is 2 less than 1008/299?
True
Is -79 < -3/1279?
True
Is -473 at most -389?
True
Which is smaller: 736 or 748?
736
Are 109 and 564 equal?
False
Which is bigger: 590/13 or 44?
590/13
Does 4697 = 4677?
False
Is -0.1 at least as big
|
{
"pile_set_name": "DM Mathematics"
}
|
t t be h(6). Suppose -s + t = -0*s. What is the highest common divisor of 24 and s?
12
Let s = -9 - -13. Suppose s*d - 168 = -0*d. Calculate the highest common divisor of 63 and d.
21
Let p(i) = -i**2 - 4*i + 1. Let t = -2 + -1. Let j be p(t). What is the greatest common divisor of 16 and j?
4
Suppose 3*l + 28 = 7*l. Let d(u) = 2*u + 1. Let h be d(l). Calculate the greatest common factor of h and 3.
3
Let r = 124 - 195. Let n = -11 - r. What is the highest common divisor of 90 and n?
30
Let h = 43 + -17. Calculate the highest common divisor of 65 and h.
13
Suppose -4*m + u + 300 = -3*u, 2*u + 78 = m. What is the greatest common divisor of 18 and m?
18
Let m(j) = -j. Let d be m(-2). Suppose 4*b = 6 + 14, -3*p + 4*b = d. What is the greatest common factor of p and 2?
2
Suppose 2*m - 8 = -4*g + 6*m, -3*m + 18 = 3*g. Suppose -25 - 30 = 5*x - 5*n, -5*x - g*n = 91. Let o = -6 - x. What is the greatest common divisor of o and 1?
1
Let h = 12 + -10. Let j(m) be the second derivative of -m**5/20 + m**4/12 + m. Let g be j(-1). Calculate the greatest common divisor of g and h.
2
Let f = -25 + 32. Suppose b = f*b - 276. Calculate the greatest common divisor of b and 115.
23
Suppose 2*k = -4*l + 122, 5*l - 6*k - 145 = -k. What is the highest common divisor of l and 330?
30
Suppose 2*p = 9 + 7. Calculate the highest common divisor of 1 and p.
1
Let h be (11/(-33))/((-2)/6). What is the greatest common factor of 11 and h?
1
Suppose 6*i + 3*c - 139 = i, i = -c + 27. What is the highest common factor of 261 and i?
29
Let b(o) be the first derivative of 13/3*o**3 - 1/4*o**4 - 5*o**2 - 7*o - 2. Let g be b(12). What is the greatest common divisor of g and 136?
17
Let v = -8 + 26. Calculate the highest common factor of 9 and v.
9
Let h(r) = -6*r + 6. Let c be h(-5). Let a = c + -21. Calculate the greatest common divisor of a and 105.
15
Suppose -4*s = -2*j + 236, 3*j - 167 = 3*s + 7. Let y = -36 - s. What is the greatest common divisor of 36 and y?
12
Suppose 0 = -0*z + 5*z - 10. Let a be -8*(3/3 - z). Calculate the greatest common divisor of a and 2.
2
Suppose -2*f + 0 = -4. Let b be 14 - (2 - (1 + f)). What is the highest common factor of 15 and b?
15
Suppose -4*w = -2*w + 2*i - 154, 5*w = 5*i + 405. Let f be w + 0 + 24/12. Let n = 14 + -5. What is the greatest common divisor of n and f?
9
Let y(i) = i + 3. Let g be y(2). Calculate the highest common factor of 10 and g.
5
Suppose -5*l = -0*s - 5*s + 135, 3*s + 2*l = 91. What is the greatest common factor of s and 203?
29
Let o(h) = -4*h - 5. Let t be o(-3). What is the highest common factor of t and 70?
7
Let o be (-4)/34 - 1560/(-255). What is the highest common factor of 66 and o?
6
Suppose 3 = -q, -4*z - 3*q + 140 = 13. Let a be ((-34)/4)/((-2)/4). What is the greatest common factor of a and z?
17
Let r = -4 - -8. Suppose 0 = 2*p - 3*h + 8, -16 = -r*h - 0*h. Suppose -44 = v - 3*v. Calculate the greatest common divisor of v and p.
2
Suppose 26*z = 24*z + 72. What is the greatest common divisor of z and 8?
4
Let d(w) = -w**2 + 55. Let m be -2 + 0/2 - -2. Let p be d(m). Suppose 5*y = -2*b + 7*b - 10, 0 = 5*b + 3*y - 34. What is the highest common divisor of b and p?
5
Let t = 102 + -98. What is the highest common factor of t and 44?
4
Let k be 0*(3/2 + -1). Suppose -b + 87 = 3*r, k = r + r + 5*b - 45. What is the highest common divisor of 20 and r?
10
Suppose 0 = -3*c - 15, 0 = -d + c + 2*c + 3. Let t = -7 - d. Suppose -t - 7 = -r. Calculate the greatest common divisor of 18 and r.
6
Suppose 5*h - 612 = h. Suppose 2*d + d = h. What is the greatest common factor of 34 and d?
17
Suppose -4*k + 35 = -33. Calculate the highest common factor of k and 51.
17
Let c(g) = 2*g**2 - 18*g + 7. Let v be c(0). Suppose -3*m - 6 = 6. Let a(h) = -11*h + 5. Let x be a(m). Calculate the greatest common divisor of v and x.
7
Let x = 105 - -5. Calculate the greatest common factor of 55 and x.
55
Let z be 30 - -4 - (0 + 2). Suppose 3*t + 2*s + 50 = 0, t - 2*s - 9 = -31. Let m = z + t. Calculate the highest common divisor of m and 126.
14
Let o = -5 - -55. What is the greatest common factor of o and 25?
25
Let l = 1 - 1. Suppose l*r + 5*r - 10 = 0. Let c be r/(1 - (-39)/(-40)). What is the highest common factor of c and 10?
10
Suppose -3*z - 20 = -7*z. Let d = -5 + z. Suppose 0*k + 2*k - 36 = d. What is the greatest common divisor of 2 and k?
2
Let l = -164 - -206. Calculate the greatest common divisor of l and 42.
42
Let z be 12 - (4 + (4 - 8)). Calculate the highest common factor of z and 2.
2
Let u be 14/(0 + (-2)/(-9)). Calculate the highest common divisor of 9 and u.
9
Suppose 0 = -0*h + 3*h - 9. Suppose -h*c + 458 = 170. Calculate the highest common factor of c and 24.
24
Suppose -1 = 5*l - 16. What is the greatest common factor of l and 21?
3
Let h(i) = 5*i - 18. Let j be h(9). Let q be 6*1/4*2. What is the highest common factor of j and q?
3
Let h(u) = 132*u**3 - 2*u**2 + u - 1. Let j be h(1). Calculate the greatest common factor of j and 5.
5
Let w(j) = -j. Let f be w(4). Let r be f/10 - 964/(-10). Calculate the highest common factor of 12 and r.
12
Let j = -26 - -41. Calculate the highest common divisor of 150 and j.
15
Let n = -4 - -3. Let x be n*(2 - (65 + 1)). Let o = 37 - 29. Calculate the greatest common factor of x and o.
8
Suppose -5*z + 140 = 5*c, -2*z - 5*c = -7*z + 100. Suppose 34 = 2*f - z. Suppose o - 20 = 5*o, 0 = i - 3*o - f. What is the highest common factor of 112 and i?
14
Suppose -2*j - 2 = -8. Let s = -15 + 24. What is the greatest common factor of j and s?
3
Let n be ((-3725)/20)/(-1) + 9/12. What is the greatest common factor of n and 17?
17
Let p = 24 + 3. Calculate the greatest common divisor of 3 and p.
3
Let p(o) = -o**3 + 7*o**2 - 4*o - 1. Let a be p(6). Suppose -5*w + 121 = -44. Calculate the greatest common divisor of a and w.
11
Let t = 34 + 162. Calculate the greatest common divisor of t and 28.
28
Let u = 192 - 182. Let h = 6 + -4. Suppose 2*f = h*y - 165 - 17, -3*y + 266 = 4*f. What is the greatest common factor of y and u?
10
Suppose -2*b + 27 = -5. Calculate the greatest common divisor of 128 and b.
16
Let g be (-3252)/(-60) - 1/5. Suppose 5*i + g = 8*i. Let q(d) = -4*d**3 - 4*d**2 - 2*d - 2. Let o be q(-4). Calculate the greatest common divisor of o and i.
18
Suppose v + 0*v - 231 = 0. What is the highest common factor of 33 and v?
33
Suppose 2*b + 4*s = -2*b + 88, -2*s + 92 = 4*b. Calculate the highest common divisor of 120 and b.
24
Let v be 0 - (-240 - (0 + 0)). Suppose -2*h + v = 2*h. Calculate the highest common divisor of h and 15.
15
Let h = -35 - -69. Calculate the greatest common divisor of h and 272.
34
Let l = -1 - -2. Let k(i) = -i + 11. Let p be k(10). Let b = p + 2. Calculate the greatest common factor of l and b.
1
Let b be ((-4)/6)/(17/(-204)). Calculate the highest common divisor of b and 1.
1
Suppose 6*t - 11*t + 1160 = 0. What is the greatest common factor of 29 and t?
29
Let u = 55 - 27. Calculate the highest common divisor of 7 and u.
7
Let b(a) = a**2 + 7*a - 2. Let o be b(-8). Calculate the highest common factor of 54 and o.
6
Let j be (10/3)/(2/42). Let g = j + -36. Suppose 34 = 4*z - 2*z + 5*n, 0 = -z + n + 17. Calculate the highest common factor of z and g.
17
Let p be -4*(14/(-8) - 0). Suppose -5*q + 83 + 86 = 3*w, 3*w + 76 = 2*q. Calculate the greatest common divisor of q and p.
7
Let g = -15 + 23. Suppose -5*s + 57 + 8 = -4*y, -2*s + g = 2*y. Suppose -h + s = -16. Calculate the highest common factor of 10 and h.
5
Let f(k) = -k**3 + 8*k**2 + 5*k. Let w be f(6). Suppose 5*x = w + 78. Let m(u) = -2*u - 1. Let n be m(-5). Calculate the highest common factor of n and x.
9
Suppose -19 = -4*f + 41. Suppose -4*q + 0*p = p - 45, -2*q = 5*p - 45. What is the greatest common factor of f and q?
5
Let z = 29 + 15. Calculate the greatest common divisor of z and 4.
4
Suppose 0 = -10*w + 5*w + 25. Calculate the greatest common factor of 5 and w.
5
Let w = 76 - 34. What is the greatest common divisor of 6 and w?
6
Let i = 183 + -173. What is the greatest common factor of i and 20?
10
Let d be 560/8 - (0 + 0/(-1)). Calculate the greatest common factor of 10 and d.
10
Let w be 1425/171 - 1/(-6)*-2. Calculate the greatest common factor of 16 and w.
8
Let s(p) = 4*p - 5. Let l
|
{
"pile_set_name": "DM Mathematics"
}
|
2)/(1/(5 - 1)). Let o = x + -20. Solve 6 = -2*i - 3*r, -2*i + 5*r - 3 - 3 = o for i.
-3
Let x(r) = 505 - 9*r - 524 + 0*r. Let t(l) = -4*l - 10. Let f(h) = -7*t(h) + 3*x(h). Let m be f(-6). Solve 2*v + 1 = p + m*v, 4*p + 3*v - 4 = 0 for p.
1
Let g(j) = j + 6. Let s be g(-5). Let m be s/2*(-198)/(-33). Solve 2*p = m*f - 25, 3*f + 0*p = -2*p + 5 for f.
5
Let f be (-42)/(132/(-30) - -4). Let h be (-42)/(-9)*90/f. Solve -h*u - 18 = s + s, -4*s - 4*u - 24 = 0 for s.
-3
Suppose -15*r + 928 = 373. Suppose -36*o = -r*o + 8. Solve 3*x + v = 11, -4*x + o = -0*x - 2*v for x.
3
Suppose -3*c = 15, 7*c - 5*c + 16 = 2*d. Suppose 5*r + 40*z = 35*z + 5, 0 = d*r + 5*z - 1. Suppose 0*b - b = -3. Solve -n + 1 = 3*k, -r*k = 4*n + b + 3 for n.
-2
Let s(m) = 24*m + 5. Let q be s(-5). Suppose -3*b = -4*h - 458, 0*h + 230 = -2*h + 2*b. Let k = h - q. Solve -4*g - 3*w = 16, -k*w + 23 = -5*g + 3 for g.
-4
Suppose 0 = 38033*u - 38054*u. Solve 0 = 2*r - 5*b + 9, -r + 11*b - 13*b + 9 = u for r.
3
Let p(s) = -8*s**2 + 137*s - 1. Let c be p(17). Solve -2*u = b + 8, -c*b + 6 = 3*u - 19*b for u.
-2
Let g(w) = w**2 + 8*w + 19. Let v(z) = -z**2 + 20*z + 121. Let r be v(25). Let u be g(r). Solve 31 = -2*c - 5*s, -u*s - 17 = -c + s for c.
-3
Let h be (1/(-2))/((-2)/(-72))*(-350)/2100. Solve -2*s = -12*f + 15*f - 13, 0 = -h*s - 3*f + 18 for s.
5
Suppose 7*v - 32 = -11. Suppose v*q = -5*s, -5*s + q = -6*s. Solve s = 5*b + a + 15 + 9, 4*b + 2*a = -24 for b.
-4
Let f be (24/42)/((-1)/(-77)). Suppose -f*i - 5 = -45*i. Solve i*c - 3*p = -11, 0*p = -5*c + p - 17 for c.
-4
Let r(s) = -2*s - 5. Let h be r(-15). Suppose 11*q - 12*q + 5 = 0. Suppose 4*l + 12 = 0, -q*j - l + 3*l = -21. Solve 4*g + h = j*f, -3*g = f + g + 13 for f.
3
Let f = 12 + -8. Suppose 7*y + f*y = 22. Solve 2*o - q - 4 = -2*o, -3*o + 2*q - y = 0 for o.
2
Suppose -i = -2*x - 2 + 5, -3*x - 5*i = -11. Solve -x*m - 7*b + 5*b = -16, 0 = -3*m + 5*b for m.
5
Suppose -556*m = -589*m + 165. Solve -r - 10 = -m*z, -2*r - 5 = -z - 3 for z.
2
Let y be (-5)/((3/52)/(15/(-10))). Let d = y + -83. Let f = d + -28. Solve 4*j - 7 = -f, 4*j = 4*s - 24 for s.
3
Suppose 36*u - 31*u - 5*f - 25 = 0, 0 = -2*u + 5*f + 10. Solve -3*q + 7 = -4*i, -u*q + 7*q + 3 = -5*i for i.
-1
Let s(z) = 2*z**3 - 4*z**2 + 2 - 8*z**2 + 3*z**3 + 14*z**2 - 4*z. Let v be s(1). Solve -v*c = -3*n - 12, 0 = -n + 2*n - 1 for c.
3
Let v be (-697)/(-51) + (-3)/(-9). Solve -25 = -5*y, 3*y + 9 = 2*s + v for s.
5
Suppose 3*a + 1 = -4*t + 10, 3*a - 9 = t. Suppose t*w - 58 = -5*w + 2*s, -4*s = 2*w - 4. Solve 0*f - w = -5*f - 3*d, -4*f + 3*d + 35 = 0 for f.
5
Let z be 5/(-30) + 3 + (38/12 - 3). Solve -9 = 2*j - 5*k - 37, 2*k = -z*j + 4 for j.
4
Let g be (((-5)/(-3))/((-6929)/(-858) - 8))/2. Solve 3*b + 8 = -4*z, 3*b - 4*z + 5 + g = 0 for b.
-4
Suppose 5*r - 42 = 2*b - 72, -4*r = -b + 12. Solve -4*g - b = 0, 3*d - g = 8*d + 30 for d.
-5
Let h(c) = -c**3 + 38*c**2 + 112*c - 1275. Let q be h(40). Solve -q*s - 29 = 50*u - 48*u, u - s - 3 = 0 for u.
-2
Suppose 2*g = -3*o - 3*g + 36, -2*o + 3*g = -24. Let p be 0 - 4/(o/(-27)). Solve 4*j = 5*s + 12, s - 3 + p = -j for s.
-4
Let f be (-6 + (3 - 0))/((-36)/6 - -5). Solve -i + 13 = 17, -4*n = -f*i for n.
-3
Let p = 671858 - 671817. Suppose 2*r - 30 + 4 = 0. Suppose -3*t - r = 5*y, -3*y = 4*t - 2 + 1. Solve -2*v - 2 + 0 = -2*m, t*v = -5*m + p for v.
4
Let w be -1 + ((-14)/(-21))/((-6)/27). Let h = w + 7. Solve -8 = h*n - 2*n - 2*a, n + 2*a = 4 for n.
-2
Suppose 2*l + 6 = -4, 1180 = 3*n - 5*l. Let p = n - 385. Solve -2*u + 4*r = p, 0*r - 2 = 3*u - 5*r for u.
-4
Suppose -3*y - 392 = -5*t - 133, 38 = t + 4*y. Suppose 5*b = 5*d + t, -b + 0*d + 25 = -4*d. Solve 26 = 2*i - b*r, -i + 15 = -4*r + r for i.
3
Suppose 3*a - 8 = 5*a, 5*a + 26 = 2*d. Let b(g) = -2*g**2 + 6*g - 4. Let s be b(2). Suppose -4*k = -8*k + 32. Solve -q = -s*w - 2*w - 7, q - k = d*w for w.
-1
Let v(g) = -5*g**3 + 2*g**2 + 2*g - 2. Let z be v(-2). Let f = 53 - z. Suppose -3*s + 1 = -f. Solve -4*c - 8 = c + s*j, -2 = 2*c + j for c.
0
Suppose 0 = 41*y - 93*y + 104. Solve r + y*f - 14 = 0, 3*r + 5*f = -7 + 44 for r.
4
Let x be ((-21)/7 - -236)*1. Let n = x + -226. Solve 10 = -y - 5*z, 0 = y + 2*z + n for y.
-5
Suppose 152 + 1026 = 22*x + 40*x. Solve q - j = 5, 2*q + 5*j + x = 5*q for q.
3
Let d(v) = v**2 + 8*v - 36. Suppose 7*b = -63 - 14. Let z be d(b). Let s be (-4 - z)/((-30)/9 + 3). Solve 3*o + 15 = -2*f, -5 = -4*o + 5*o + s*f for o.
-5
Suppose -1511*q = -1515*q + 16. Suppose -5*h + q*h = 3, 3*i + 5*h + 3 = 0. Solve -4*o = -4*x + 5*x + 6, 0 = -o - 3*x + i for o.
-2
Suppose 4*m + 1 = 17. Let z be -23 + 17 - (-164)/m. Solve -4*y - 5*l = 45, 2*y + 6*l - l + z = 0 for y.
-5
Let d(z) = 3*z + 15. Let k be d(-19). Let x = k - -45. Let v be (-9)/(-84)*4 + 64/14. Solve 0 = -3*b + v*a - 5, x*b + 3*a = -21 for b.
-5
Let i(f) = -4*f + 3. Let j(g) = -5*g + 4. Let k(m) = -4*i(m) + 3*j(m). Let d be k(5). Let h = 10919 - 10915. Solve -2*z = -h*c - 3*z, 0 = d*z for c.
0
Let k be 30/(-345) - (1872/92)/(-4). Solve 2*u = 4, 2*i - 2*u + 1 = k for i.
4
Suppose -4*g - 11*z = -8*z - 1345, -g = -4*z - 360. Let m = -330 + g. Solve 0*a - 2*a = 2*i + 4, i = -3*a - m for i.
2
Let t be ((-3600)/78 - -1) + 4/26. Let v be -3 - 0 - (t + 40). Solve -b - 4*y = -12, -7*y - v = -2*b - 4*y for b.
4
Let k = -6001 + 6002. Solve -r - r + 24 = 4*d, -d + k = -2*r for r.
2
Let j be 0*(-1)/(-21)*7. Suppose -p + j*p - 5*t + 7 = 0, 4*t + 2 = 3*p. Solve 0*l - 2 = 2*l + p*i, 2*l + 10 = -4*i for l.
3
Let h = 6 - -1. Let k(v) = 2*v**3 + 135 - 144 - 7*v**3 + 8*v**2 + 4*v**3 - 5*v. Let w be k(h). Solve 2*b - b = w*p - 28, 0 = 5*p - 3*b - 34 for p.
5
Suppose -107*v = -156*v + 245. Solve 5 = -v*t, -2*t + 10 = -2*d - 2*d for d.
-3
Let x be (-3)/9 - (-944)/(-12). Let k = x + 84. Suppose 4*l = k*g - 15, l + 0*l = 2*g - 6. Solve -3*c - 3*w = -27, -1 = -2*c + 2*w - g for c.
4
Let b(w) = 2*w**2 - 24*w + 2. Let y be ((-4)/(-7))/(54/1134). Let i be b(y). Solve 0 = 4*z - 16, -18 = -5*n - 4*z + i*z for n.
2
Let g(z) be the third derivative of 13*z**4/12 - 125*z**3/6 - z**2 - 77. Let w be g(5). Solve 3*i - 3*l - 3 = -0*i, -2*l = w*i + 2 for i.
0
Let o(a) = -4*a + 22. Let i be o(5). Suppose p - 20 = 2*w + 2*w, -i*w - 4 = p. Solve -r - p = -2*v, 0*v = -v - 2*r + 12 for v.
4
Let y(p) = -p**3 - 13*p**2 - 3*p - 35. Suppose -15*k - 104 = -7*k. Let t be y(k). Solve 0 = -t*g - 3*q - 15, q = -5*g - 3*q - 20 for g.
0
Let m = 80 - 70. Suppose -5*k = -b + m, 19 = -5*b + 6*b + 4*k. Solve 2*a + 2*p = 5*p + b, -4*p - 6 = 2*a for a.
3
Let l(w) = 3*w**2 + 7*w + 4. Suppose 8 = -7*a + 6*a. Let s be l(a). Let q be 9/(-15) + s/25 + -2. Solve -4*r = -11 + q, 5*r = -2*z + 2 for z.
-4
Let y be (-16)/(-6)*36/48*2. Solve 17*z + 5*r = 19*z + 2, -y*z - 20 = -2*r for z.
-6
Let z be -4 + (-63)/(-3) + -5 + 3. Suppose -4*n - 4 = 3*l - 16, 5*n = l + z. Solve 9 = o - n*k, 5*o - 2*o = 2*k - 1 for o.
-3
Suppose 6*z - 2*z = 5*k + 755, k + z = -142. Let a = -147 - k. Solve 4*b - 5*b + 3*i + 10 = a, -10 = 5*b + 5*i for b.
1
Suppose -11*g + 20*g - 81 = 0. Let r(z) = z**3 - 9*z**2 + 5. Let k be r(g). Solve 0 = 5*b - 10, -5*w + 1 - 36 = -k*b for w.
-5
Suppose 30*u = -471 + 1821. Suppose 0 = 21*f + u - 192. Solve g = 5*t - 16, -4*g = 3*t - f + 2 for g.
-1
Suppose 81 = -2*d - 2*h + 73, d - 4*h = 26. Solve 6*y + 2*s - d = 8*y, -8 = -2*s for y.
3
Suppose 4*n - 8 = 0, 2985 = -4*y + n + 579. Let x = 618 + y. Solve -k - 3*c + 4 = x, 3 = -c for k.
-4
Let h = -105 - -104. Let g be (1 + h)*37/185. Solve -5*d + 20 = 0, 4*t + t + d + 11 = g for t.
-3
Let y be ((-14)/18 + 16/(-72))*2. Let l be 1/y - (-9 + 53/(-2)). Solve -3*f = 4*a - l, 2*a + 4*f + 5 = 7*a for a.
5
Suppose -17*o + 132 - 7867 = 0. Let n be (0 + 2 - 0)*o/(-182). Solve 2*a - b + 1 = 0, -4*a + 0*b - n = -5*b for a.
0
Let h be 24/16 - (-1)/(-4)*6. Suppose h = 3*o + 4*v - 29, 11 = 2*o + v - 0. Solve 2*t - t - 3*d + 7 = 0, -o*t - 13 = -5*d for t.
-1
Let d be 134/1005 - (-1798)/15. Let l = 129 - d. Solve 4*f = -0*f - 3*x - 29, 3*x = -l for f.
-5
Suppose 305 = -w + 84. Let i = 226 + w. Solve 0 = -3*m - i*l - 11, 0 = -m - 3*m + l + 16 for m.
3
Let q be ((-4028)/318)/((-2)/33 + 0). Let i = -189 + q. Solve -4*o = -4*w - i, 2*w + 2*o - 1 = w for w.
-3
Suppose -39 = -4*m + 4*t - 7, -5*m + 19 = 2*t. Let g be (1/5)/(2 - (-19)/(-10)). Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
1488270
Calculate the least common multiple of 6108 and 126232.
378696
Calculate the common denominator of -1/36 and -62/24939.
99756
Find the common denominator of -31/143 and -24/435955.
4795505
What is the common denominator of -11/342048 and -37/2016?
1026144
What is the smallest common multiple of 255 and 17?
255
What is the least common multiple of 33960 and 346392?
1731960
Calculate the common denominator of 5/3773 and -81/279202.
279202
Calculate the lowest common multiple of 14200 and 14.
99400
Calculate the common denominator of -21/112310 and 87/10210.
112310
Calculate the least common multiple of 3707 and 5392.
59312
Calculate the lowest common multiple of 701 and 354.
248154
What is the lowest common multiple of 561888 and 1194012?
9552096
What is the smallest common multiple of 31130 and 28300?
311300
Calculate the common denominator of -73/2424 and -1/216.
21816
What is the common denominator of 65/25456 and -1/48?
76368
What is the common denominator of -37/380912 and 46/895?
1904560
What is the least common multiple of 309 and 26097?
2687991
What is the common denominator of 107/57800 and 59/170?
57800
What is the common denominator of -4/61299 and 29/63?
61299
Find the common denominator of 137/966 and -47/6.
966
Calculate the common denominator of -95/78 and 31/289608.
3764904
Calculate the common denominator of 43/1057 and -52/203.
30653
What is the smallest common multiple of 800 and 471680?
2358400
Calculate the common denominator of -95/66 and -37/42713.
256278
What is the common denominator of -39/77 and 55/85351?
938861
What is the lowest common multiple of 24563 and 122815?
122815
Calculate the common denominator of 41/1224 and -5/127044.
4319496
Calculate the common denominator of 139/702 and 187/19440.
252720
What is the smallest common multiple of 2600 and 47880?
3112200
Find the common denominator of -111/36190 and -131/480.
1737120
Calculate the lowest common multiple of 6558 and 45906.
45906
What is the lowest common multiple of 44 and 924?
924
What is the common denominator of -9/67060 and 43/5?
67060
What is the common denominator of 31/5865 and 20/9?
17595
Calculate the lowest common multiple of 4 and 9094.
18188
Calculate the smallest common multiple of 12 and 656631.
2626524
Find the common denominator of -28/1727 and -35/75988.
75988
Find the common denominator of 43/678447 and -41/6.
1356894
What is the smallest common multiple of 95993 and 1627?
95993
Calculate the common denominator of -50/897 and 59/187.
167739
What is the smallest common multiple of 3 and 1181718?
1181718
Calculate the lowest common multiple of 1545954 and 16.
12367632
Calculate the least common multiple of 257 and 234898.
234898
Calculate the least common multiple of 3180 and 371.
22260
What is the common denominator of -6/17809 and -15/27523?
302753
What is the lowest common multiple of 3176 and 144?
57168
Find the common denominator of 85/224 and 12/595.
19040
Calculate the smallest common multiple of 6080 and 128820.
2061120
Calculate the lowest common multiple of 20842 and 51.
62526
Calculate the lowest common multiple of 370881 and 189.
1112643
What is the common denominator of -97/409200 and 41/204600?
409200
What is the common denominator of -13/520961 and -42?
520961
Find the common denominator of -53/260996 and -37/1420.
1304980
What is the smallest common multiple of 18 and 383196?
1149588
Calculate the common denominator of -2/27 and -37/1149.
10341
What is the common denominator of -61/125594 and -109/20?
1255940
Calculate the smallest common multiple of 14003 and 8107.
154033
What is the least common multiple of 918 and 51918?
467262
Calculate the common denominator of 30/2311241 and 59/5.
11556205
Calculate the least common multiple of 2392 and 312.
7176
What is the common denominator of -67/2 and 77/72564?
72564
What is the common denominator of 38 and 23/84831?
84831
What is the lowest common multiple of 20 and 567098?
5670980
Find the common denominator of -45/219037 and -43/286433.
3723629
What is the lowest common multiple of 154 and 312718?
3439898
Find the common denominator of -103/21538 and -161/5874.
64614
What is the common denominator of -77/23286 and -59/2?
23286
What is the least common multiple of 66 and 181260?
1993860
What is the least common multiple of 122622 and 2?
122622
What is the least common multiple of 226304 and 3536?
226304
What is the common denominator of -37/1586 and 5/5917?
153842
What is the lowest common multiple of 124754 and 26733?
374262
Calculate the common denominator of 79/80595 and -44/37611.
564165
Calculate the least common multiple of 2433 and 53526.
53526
What is the common denominator of 71/291682 and 119/31030?
1458410
What is the smallest common multiple of 10 and 989638?
4948190
What is the smallest common multiple of 21 and 5537?
16611
Calculate the common denominator of 73/15552 and 107/680.
1321920
What is the common denominator of 109/31180 and -85/88?
685960
Calculate the smallest common multiple of 169 and 40721.
6881849
Find the common denominator of 85/6282 and 19/525.
1099350
Calculate the common denominator of -119/48894 and 23/18.
146682
Calculate the common denominator of -21/101050 and 65/2.
101050
What is the least common multiple of 1256 and 427982?
1711928
Calculate the common denominator of -17/28 and -27/29713.
831964
Calculate the lowest common multiple of 58674 and 3048.
234696
Find the common denominator of 19/3432 and 29/12324.
271128
What is the smallest common multiple of 25960 and 28?
181720
What is the lowest common multiple of 3410 and 495?
30690
Calculate the smallest common multiple of 5 and 8805.
8805
Calculate the common denominator of -157/2621916 and 109/485540.
13109580
Find the common denominator of 101/4 and 5/738192.
738192
Find the common denominator of -61/370 and 77/180.
6660
Calculate the smallest common multiple of 21207 and 374657.
1123971
Find the common denominator of 77/270 and 37/6885.
13770
Find the common denominator of 5/139134 and 97/92756.
278268
What is the smallest common multiple of 301844 and 8?
603688
What is the least common multiple of 6580 and 4324?
151340
Find the common denominator of 59/37814 and -53/98.
264698
What is the common denominator of 69/196 and 57/5068?
35476
Calculate the least common multiple of 19 and 61264.
1164016
What is the common denominator of 1/14 and -29/210252?
210252
What is the common denominator of -29/86180 and 47/61160?
1895960
Calculate the lowest common multiple of 52136 and 66.
1720488
Find the common denominator of 41/705 and -28/1383.
325005
Calculate the common denominator of -101/28428 and -65/1604.
11399628
What is the common denominator of 79/135 and -19/10566?
158490
What is the smallest common multiple of 22 and 5722?
62942
Calculate the lowest common multiple of 17512 and 1429616.
15725776
Calculate the smallest common multiple of 10 and 259590.
259590
Calculate the common denominator of 193/26220 and -3/4180.
288420
Calculate the common denominator of 97/784 and -13/865928.
1731856
Calculate the common denominator of 49/3802 and 31/518.
984718
Find the common denominator of -35/38 and 40/9177.
18354
What is the common denominator of -67/2 and -55/9734?
9734
Calculate the lowest common multiple of 69795 and 255.
1186515
What is the common denominator of -75/4768 and 13/718?
1711712
What is the common denominator of -83/232 and 27/1595?
12760
What is the common denominator of -50/9 and 187/2070?
2070
What is the lowest common multiple of 3223690 and 20?
6447380
What is the common denominator of -43/13326 and -67/4442?
13326
What is the common denominator of -41/299894 and 115/8246?
5697986
Calculate the smallest common multiple of 513 and 525.
89775
Calculate the smallest common multiple of 183990 and 294384.
1471920
What is the common denominator of 5/10607 and -56/9?
95463
What is the lowest common multiple of 10535 and 90?
189630
What is the smallest common multiple of 36330 and 66605?
399630
Find the common denominator of -229/57330 and 101/546.
57330
What is the smallest common multiple of 625 and 5?
625
What is the smallest common multiple of 319 and 3333?
96657
Calculate the smallest common multiple of 1776 and 5920.
17760
What is the lowest common multiple of
|
{
"pile_set_name": "DM Mathematics"
}
|
ivided by -6536
57
-1139 divided by -107
1139/107
What is -716510 divided by -358255?
2
Divide -3840556 by -4.
960139
Calculate -4997158 divided by 106.
-47143
Divide -7251684 by -1644.
4411
What is 3114 divided by -519?
-6
What is -1 divided by -287?
1/287
Divide 19297 by -35.
-19297/35
What is 335248 divided by -83812?
-4
What is -4 divided by -184433?
4/184433
Divide -32626012 by -4.
8156503
Calculate 798 divided by 798.
1
Divide -581652 by -604.
963
Divide 15961 by 1451.
11
What is -581708 divided by -145427?
4
-32 divided by -3573
32/3573
Calculate 11328 divided by -4.
-2832
Divide 0 by 549.
0
Calculate -165 divided by -2270.
33/454
What is 666 divided by 4288?
333/2144
Calculate 47488 divided by -64.
-742
-1143 divided by -688
1143/688
Divide 65562 by 32781.
2
What is -61980 divided by -15495?
4
What is 225 divided by 44?
225/44
-3 divided by 15725
-3/15725
Calculate 125611 divided by -1.
-125611
Calculate 3696 divided by -132.
-28
-105102 divided by 1
-105102
401 divided by 756
401/756
108 divided by 23
108/23
What is -18289 divided by 9?
-18289/9
What is -599509 divided by 2?
-599509/2
Divide 65862 by -2.
-32931
Calculate 3 divided by 274125.
1/91375
20633 divided by -2
-20633/2
What is -60773 divided by -7?
60773/7
Calculate -117 divided by -3072.
39/1024
What is 2873 divided by -50?
-2873/50
Calculate -119034 divided by 1167.
-102
Calculate 250101 divided by 1593.
157
987030 divided by 29910
33
What is -1101 divided by 852?
-367/284
What is -189336 divided by -8232?
23
What is -33895 divided by -184?
33895/184
Calculate 647140 divided by 129428.
5
What is 774691 divided by -5?
-774691/5
Divide -2485 by -40.
497/8
What is -237088 divided by 3824?
-62
157 divided by 4329
157/4329
-43890 divided by -266
165
Divide -11525 by -35.
2305/7
What is -5514006 divided by -2?
2757003
Calculate 0 divided by -8441.
0
What is 1184000 divided by 64?
18500
Calculate -39955 divided by -2.
39955/2
-9780 divided by -229
9780/229
Calculate -35909 divided by 7.
-35909/7
Calculate -4405 divided by -1130.
881/226
Divide 526080 by -131520.
-4
What is 91 divided by 12?
91/12
Calculate 2815254 divided by -6.
-469209
What is -71463 divided by -581?
123
1509296 divided by 4
377324
What is 17120 divided by -5?
-3424
Calculate 57409 divided by 12.
57409/12
Calculate 1 divided by -18418.
-1/18418
Calculate 354 divided by -131.
-354/131
Divide 54 by -2.
-27
Divide 169334 by -2.
-84667
What is 11802 divided by 6?
1967
Calculate 7626 divided by -906.
-1271/151
Calculate 53 divided by 23727.
53/23727
Calculate 0 divided by 161083.
0
Calculate 50348 divided by -164.
-307
34184 divided by 34184
1
3 divided by -35327
-3/35327
Calculate -4393 divided by -4393.
1
-283 divided by -5067
283/5067
What is 227886 divided by -1999?
-114
Calculate -19626 divided by -55.
19626/55
Calculate -898 divided by 329.
-898/329
Divide -604 by -619.
604/619
-28000 divided by 20
-1400
What is -2409624 divided by 3?
-803208
Calculate -329098 divided by -22.
14959
Divide 208528 by -26066.
-8
Divide 303487 by 2.
303487/2
12000 divided by -200
-60
Divide -102913 by 24.
-102913/24
What is 16807 divided by -16807?
-1
Divide 202 by -13422.
-101/6711
Calculate -4 divided by -4913.
4/4913
Calculate -61668 divided by 1142.
-54
Divide 17 by -102131.
-17/102131
Divide -6121 by 5.
-6121/5
-1117148 divided by 558574
-2
-596916 divided by 6
-99486
Calculate -67662 divided by -27.
2506
-1 divided by 1071
-1/1071
Calculate -181 divided by 7735.
-181/7735
19850 divided by -5
-3970
Divide 130810 by 26162.
5
What is -488 divided by 488?
-1
Calculate 172692 divided by -117.
-1476
Divide 4 by 12594.
2/6297
Calculate -606716 divided by -55156.
11
Calculate -12 divided by 25061.
-12/25061
-213588 divided by -71196
3
8 divided by 5693
8/5693
Divide 544 by -21.
-544/21
-7347 divided by 20
-7347/20
What is -546784 divided by 4?
-136696
What is -5 divided by -7508?
5/7508
What is 75915 divided by -105?
-723
Divide -18831 by -3.
6277
What is -15 divided by 1875?
-1/125
Divide -20131 by -19.
20131/19
-4153500 divided by 63900
-65
What is -90707 divided by 2?
-90707/2
What is -5690 divided by -85?
1138/17
Divide -55895 by 5.
-11179
-1471519 divided by -1
1471519
What is -2082 divided by 1041?
-2
Calculate 1689472 divided by 4.
422368
Divide -2000 by -8.
250
Divide -5 by 2020.
-1/404
What is 1018290 divided by 3730?
273
332 divided by 1848
83/462
What is -4 divided by -382529?
4/382529
-127015 divided by -19
6685
Calculate 0 divided by -475209.
0
-12 divided by -2071
12/2071
94696 divided by -178
-532
Divide 631068 by 172.
3669
1276078 divided by -6
-638039/3
43 divided by 1262
43/1262
Divide -269745 by -49.
5505
Calculate 29670 divided by 1978.
15
70 divided by 24
35/12
185772 divided by 678
274
What is 15 divided by -14827?
-15/14827
12960 divided by -360
-36
What is 2038 divided by 1696?
1019/848
Calculate 4155 divided by 162.
1385/54
Calculate -79592 divided by 1.
-79592
Divide 87386 by -13.
-6722
44957 divided by -9
-44957/9
What is 2827820 divided by -282782?
-10
Calculate 190013 divided by 3.
190013/3
What is -468693 divided by -3?
156231
Divide -1313840 by 40.
-32846
Divide 1712 by 18.
856/9
What is -137416 divided by -1?
137416
Calculate -271 divided by 1697.
-271/1697
Divide 3062388 by 255199.
12
5222196 divided by -14
-373014
-5688 divided by -72
79
-50488 divided by 2
-25244
Calculate 110478 divided by 36826.
3
Divide -199197 by -66399.
3
What is 75840 divided by 948?
80
Calculate 8483 divided by -8483.
-1
Calculate 3465 divided by 165.
21
-87192 divided by 36
-2422
What is -34 divided by -236?
17/118
What is 719942 divided by 8674?
83
What is -729600 divided by 20?
-36480
What is 89573 divided by 479?
187
Calculate 4448 divided by -4.
-1112
Divide -28215 by 99.
-285
What is 0 divided by -362347?
0
Calculate 196 divided by -7.
-28
What is 18016 divided by -4504?
-4
Divide -222188 by 5.
-222188/5
What is -10 divided by -436?
5/218
Divide -574130 by -287065.
2
Calculate -2 divided by -451575.
2/451575
What is -2459 divided by 8?
-2459/8
Calculate 3059802 divided by -54.
-56663
Divide 4 by -16518.
-2/8259
Divide 1574574 by 30874.
51
104 divided by 3158
52/1579
What is -1916199 divided by 207?
-9257
46350 divided by 46350
1
What is -553874 divided by -3398?
163
Calculate 5 divided by 14828.
5/14828
Divide -40984 by 2.
-20492
Divide -479110 by -10.
47911
Divide 44384 by -2774.
-16
Divide 70404 by 3.
23468
Divide 4402284 by -284.
-15501
-25 divided by -2722
25/2722
Divide -4572 by 3.
-1524
What is 23452 divided by -52?
-451
1 divided by 35381
1/35381
-275 divided by 2587
-275/2587
What is -19 divided by -2787?
19/2787
Divide -104583 by 2.
-104583/2
178517 divided by 13
178517/13
What is -67740 divided by -5645?
12
101013 divided by 3
33671
What is -1054815 divided by 5?
-210963
What is 28 divided by 12387?
28/12387
What is 677977 divided by -9?
-677977/9
Divide -18 by -4564.
9/2282
Divide 277508 by -901.
-308
Calculate 84 divided by -59.
-84/59
Divide -3 by 10188.
-1/3396
What is 1 divided by -2553?
-1/2553
What is 6936 divided by -24?
-289
-62 divided by -166
31/83
What is 89 divided by -8029?
-89/8029
Calculate 1523250 divided by -6.
-253875
5 divided by 1487
5/1487
Divide -149930 by 638.
-235
293647 divided by 6829
43
191 divided by 543
191/543
Divide -88 by -6.
44/3
21251 divided by 8
21251/8
Divide 988768 by -106.
-9328
Divide 5 by -132968.
-5/132968
Divide 1401650 by 280330.
5
What is 7 divided by 14183?
7/14183
What is 14 divided by 602?
1/43
-776 divided by -14
388/7
What is -1833405 divided by -5?
366681
Divide 635891 by 1.
635891
Divide 274854 by 4.
137427/2
Divide -404 by -2944.
101/736
What is -2337580 divided by 39620?
-59
-29972 divided by -23
29972/23
Calculate 3102 divided by -2.
-1551
Calculate -5208 divided by -42.
124
Divide -39310 by 5.
-7862
57778 divided by 8254
7
2 divided by -58788
-1/29394
Divide -6 by -12912.
1/2152
What is -4893 divided by 46?
-4893/46
Divide -2386795 by -5.
477359
Divide -27650 by 158.
-175
Divide 1039320 by -6.
-173220
332514 divided by -87
-3822
-2402568 divided by 14301
-168
1807052 divided by -69502
-26
What is -3029 divided by -233?
13
What is 384701 divided by -1?
-384701
What is 2 divided by -76010?
-1/38005
What is -3 divided by 73610?
-3/73610
Divide 221 by 60
|
{
"pile_set_name": "DM Mathematics"
}
|
7
Suppose -20*q - 57*q + 209216 = -21*q. What is the thousands digit of q?
3
Let b = -132 + 136. Suppose 3*d - 17 = -l, 4*l - 41 = -b*d - l. Suppose -d*x - 243 = -p, p - 2*x + 42 = 279. What is the tens digit of p?
3
Suppose 4*i = -4*i + 88. Suppose -340 = -i*j + 7*j. What is the units digit of j?
5
Let l = -40537 - -58184. What is the units digit of l?
7
Suppose -6*z + z = 10. Let c(j) = -29*j - 9. What is the units digit of c(z)?
9
Let h(i) = 11*i + 4. Let t(q) = -56*q - 21. Let u(j) = -j**2 + 17*j + 4. Let p be u(18). Let y(l) = p*h(l) - 3*t(l). What is the tens digit of y(3)?
4
Suppose 2*v = 2*p - 56, p + 113 = 5*p - 3*v. What is the units digit of p?
9
Let w(v) = -v**3 + 3*v**2 + 5*v - 1. Let s be w(4). Let g be 35/(-42)*(-5 + 5 + -18). Suppose -g + 135 = b - s*u, -9 = 3*u. What is the tens digit of b?
1
Let c be (-10)/(-140)*64*(-14)/(-4). Suppose c*d - 1488 = 10*d. What is the hundreds digit of d?
2
What is the tens digit of 8085/(-495)*-219*1*7?
3
Let g(u) = 2*u**2 - 68*u + 134. Let p be g(33). Let x(w) = -2*w**3 - 2*w**2 + 2*w - 2. Let o be x(3). Let t = p - o. What is the hundreds digit of t?
1
Let s(f) be the second derivative of f**5/20 - 4*f**4/3 - 3*f**3 - f**2 - 12*f. Let k be s(17). Let r(u) = -7*u + 33. What is the tens digit of r(k)?
6
Let v(g) = 2*g**2 - g - 12. Let j = -75 + -51. Let d = -132 - j. What is the units digit of v(d)?
6
What is the tens digit of (-6492)/(108/(-32) - -3) + (-74 - -80)?
1
Let t(m) = m**3 + 8*m**2 - 15*m - 7. Let o be t(-12). Let z = -234 - o. What is the hundreds digit of z?
1
Suppose 5*z - 60117 = 3*x, 283*z - 3*x + 12027 = 284*z. What is the units digit of z?
4
Suppose -10*s + 8*s - 4 = 0. Let x(l) = 9*l**2 + l + 5. Let o be x(s). Let a = -34 + o. What is the units digit of a?
5
Suppose 120 = -5*x + 130. Suppose 0 = -5*o + 2*o - 3*d + 1116, -5*d - 779 = -x*o. What is the units digit of o?
7
Let n(t) = -5*t - t + 5 + 8 + 0*t**2 - t**2. Let a be n(-6). Suppose -a*s + 216 = -7*s. What is the tens digit of s?
3
Suppose -w - 8 = -2*z + w, 4*z - w - 13 = 0. Let f(g) = 8*g - 14. Let j be f(z). What is the tens digit of (-48)/((2/6)/(j/(-30)))?
4
Let q(p) = -69*p + 15. Let y be q(7). Let v = -329 - y. What is the tens digit of v - -4 - 4/(-4)?
4
Suppose -2*a + i = 2*a - 14, 4*i + 8 = 4*a. Let m be (-3148)/(-9) - a/(-18). Suppose 6*n - 448 = m. What is the units digit of n?
3
Let i be 1/3*(-6)/(-1) + 0. Suppose 0 = 4*n - i*n, -5*n = -3*q + 18. What is the units digit of q?
6
Let y(b) = -b**2 + 0*b**2 + 98 + 6*b + 103 - 9*b. Let t be y(0). What is the tens digit of 1/((12/t)/4)?
6
Suppose -2*i + 1772 = 3*x, 2*i = -2*i - x + 3564. Suppose 5*p = c - i, -c - 182 = 3*p - 1098. What is the tens digit of c?
0
Let d(v) = v**3 - 57*v**2 + 30*v - 8059. What is the thousands digit of d(72)?
1
Let y = 186 - -98. Let l = y + -116. Suppose -g + 371 = g - b, g = 4*b + l. What is the hundreds digit of g?
1
Let p(i) = -i**3 + 9*i**2 - 10*i + 19. Let j be p(8). Let g(o) = -15*o - 4*o**3 + o**j + 2*o**3 + 23 + 24*o**2. What is the tens digit of g(23)?
0
Suppose 5*v = -6 + 31. Suppose 4*s = 12, -35 = -7*u + 2*u + v*s. Suppose -u*k + 15*k = 265. What is the units digit of k?
3
Suppose 7*t + 18 - 158 = 0. Suppose 16*x - t*x - 616 = -f, 3*f - 4*x - 1824 = 0. What is the units digit of f?
4
Let z = 88 - 47. Suppose n - 31 = -2*i - 12, -5*n + z = 4*i. Suppose 12*o - 312 = i*o. What is the tens digit of o?
0
Suppose 21912 - 2847 = 31*y. What is the hundreds digit of y?
6
Let j = 17707 - -26278. What is the units digit of j?
5
Let k be (10/3)/((-2)/3). Let i be (2/(-8))/(k/20). Suppose 0 = -5*w + 3*b + 375, 0 = b + i - 6. What is the units digit of w?
8
Suppose -90*p + 1343817 + 239553 = 0. What is the ten thousands digit of p?
1
Suppose 4*r + 370 = 14*r. Suppose -33*g = -r*g + 556. What is the hundreds digit of g?
1
Suppose 0 = -4*d + 4*b + 69788, -2*d + 6*b + 23192 + 11730 = 0. What is the hundreds digit of d?
4
Let h(m) = 4*m - 5*m**2 + 9*m**2 + 12*m**2 - 28 + 12. Let v be h(-5). Suppose 0 = 4*f - 0*f - v. What is the units digit of f?
1
Let f = -64314 + 114767. What is the thousands digit of f?
0
Let y(w) = w**3 + 21*w**2 + 6*w + 5. Let h be y(-17). Suppose h = 17*m - 14462. What is the tens digit of m?
1
What is the units digit of ((-13588)/129)/((-4)/30)?
0
Suppose 0 = 4*d + 5*o - 1892, -5*d + 2718 = 3*o + 366. Suppose 632 + d = 5*k. What is the hundreds digit of k?
2
Suppose 594*f - 598*f = 5*l - 97088, -f + 24272 = 2*l. What is the hundreds digit of f?
2
Suppose 0 = 6*i - 3*i - 15. Let f(h) = 0*h + h**3 - 1910*h**2 + 1912*h**2 + 1 + h. What is the tens digit of f(i)?
8
Suppose -2*b - 4 - 4 = -4*t, 0 = -t + 5*b - 16. What is the tens digit of 3/2 + 3646/t?
1
Suppose -p = -5*u - 583, 0 = 3*u + 3. Let c = 216 - 44. Suppose -c = -5*h + p. What is the hundreds digit of h?
1
Suppose h + 8*h - 342 = 0. Let l = h + -28. What is the units digit of 15/(-4 - -1)*(-162)/l?
1
Let i = -5866 + 6031. What is the tens digit of i?
6
Let j be 8 - (-8)/((-16)/6). Suppose -2*q = 5*c + 3, -j*c = -2*c - 3*q + 6. Let u(n) = 22*n**2 + 2*n + 1. What is the units digit of u(c)?
1
Let a(k) = 202*k + 1263. What is the units digit of a(6)?
5
Let o = -195 + 384. Suppose 2*i + o = g - 22, g + 2*i - 207 = 0. What is the hundreds digit of g?
2
Let q = -7361 + 22641. What is the hundreds digit of q?
2
Let m(g) = g**2 + 12*g + 12. Let y be m(-8). Let h = 22 + y. Suppose -h*l + 90 = -90. What is the units digit of l?
0
Suppose 3*f - 1284 - 3948 = 0. Suppose -9*h + 6*h = -5*t - f, h - 584 = 3*t. What is the units digit of h?
8
Let o(w) = 3*w**2 - 9 + 0*w**2 + 16*w + 32 - 24*w. Let r be o(12). Suppose -3*m + 185 = 3*j - 91, -r = -4*m + 5*j. What is the units digit of m?
1
Let t(n) = 70*n**2 - 95*n + 1051. What is the units digit of t(11)?
6
What is the units digit of 3598 + 21 + -12 + -2?
5
Suppose 3*z - 1227 = -o, 0 = 2*o - z - 419 - 2042. Suppose 0 = -20*t + 10*t + o. What is the hundreds digit of t?
1
Let m(k) = -10*k**3 - 52*k**2 - 94*k - 1. Let y(j) = 17*j**2 + 31*j + 3*j**3 + 245 - 245. Let z(b) = 2*m(b) + 7*y(b). What is the tens digit of z(-12)?
8
Suppose 22*a = 9*a + 1040. What is the tens digit of ((-6)/(-10) - (-32)/a) + 296?
9
Let p be 5 + (-8)/(40/(-5305)). Suppose a - 5*y = p, 5*a - y - 1692 = 3734. What is the tens digit of a?
8
Suppose 0 = -3*m + 2*m + 5. Let w(c) = c**3 - 2*c**2 - 9*c - 4. Let h(s) = -2*s + 1. Let u(d) = -4*h(d) + w(d). What is the units digit of u(m)?
2
Suppose -4*t = -3*s + 1921, -3*t = 7*s - 5*s - 1292. Suppose o + 9*b - s = 4*b, b = o - 649. What is the hundreds digit of o?
6
Let x(g) = -g**3 + 27*g**2 - 18*g + 37. Let q = -740 + 766. What is the units digit of x(q)?
5
Let a(j) = 11*j**3 - 11*j**2 - 19*j. What is the hundreds digit of a(13)?
0
Let c(r) = 3*r**2 - 27*r - 3608. What is the hundreds digit of c(-53)?
2
Suppose -3*t - 66*t = -98858 - 1180333. What is the units digit of t?
9
Suppose 179*m = 182*m - 270. Let w = 624 - m. What is the hundreds digit of w?
5
Let n = 3634 + 6277. What is the tens digit of n?
1
What is the thousands digit of ((-313014)/(-104))/(3/4)?
4
Suppose 5*h - 1724 + 250 = m, 3 = 3*m. Let u = h - -88. What is the tens digit of u?
8
Let r = 30 + -30. Let v be r/(-5*(-4)/20). Suppose -3*k = -0*y - 2*y + 84, -2*y + 5*k + 80 = v. What is the units digit of y?
5
Let i be -2 - (-3)/((-9)/(-66)). Let k = -29 + i. Let y = k - -104. What is the tens digit of y?
9
Let t = 1004 - 178. Suppose 0*n - n + 264 = 5*s, 3*n - 2*s - t = 0. Suppose -14 = 5*l - n. What is the tens digit of l?
5
Suppose 11*n - 5149 = 169102. What is the tens digit of n?
4
Let l(v) = v**3 - 4*v**2 + 4*v + 6. Let o = 4 + 0. Let b be l(o). Let k = 21 + b. What is the tens digit of k?
4
Let n(l) = 456*l**2 + 134*l + 17. Let q(w) = -114*w**2 - 33*w - 4. Let f(r) = -2*n(r) - 9*q(r). What is the units digit of f(-4)?
0
Suppose 5*i = 3*n + 4, -i + 12 = -3*n + 8*n. Suppose 2*a - i*k = 3*k + 73, 0 = 5*a + k - 115. Suppose a = -5*s + 7*s. What is the tens digit of s?
1
Let q be ((-20)/(-6) - 2)/(1/27). Let o = 42 - q. What is the tens digit of 2/(o/24 - (-15)/(-76))?
3
Let h be 5*(-24)/(-40)*1765/15. Let u = 1368 - h. What is the tens digit of u?
1
Suppose 2*g = -2*r - 76, -r - g - 4*g - 34 = 0. Let q be r*(-4 + 39/9). Let a(u) = 2*u**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
se p*m - 12 = 61*m. Let f be (10*-472)/(-3*m/(-2250)). What is f rounded to the nearest 100000?
-600000
Suppose -234*g = 13410415 + 13005845. What is g rounded to the nearest 10000?
-110000
Suppose -743*h = -730*h - 873080. What is h rounded to the nearest 1000?
67000
Suppose -2*a = 10, 2*n + 18925 = 3*a + 7122. What is n rounded to the nearest 1000?
-6000
Let y be -4 + (-2)/6 + (-28)/(-12). Let j(k) = -512*k**2 + k - 2. Let m be j(y). Let l = m - -6692. Round l to the nearest one thousand.
5000
Let k = -0.072376 + -0.007097. Round k to three dps.
-0.079
Let g(k) = -18*k**3 + 7*k**2 + 2*k - 368. Let m be g(-28). What is m rounded to the nearest 100000?
400000
Let d = -3.61 + 3.7. Let z = d + -0.263. Let h = z + 0.811. What is h rounded to one dp?
0.6
Let a = 285825 + -285824.9999847129. Round a to 6 decimal places.
0.000015
Let l = -2178492 - -889342. Let w = l - 4850. What is w rounded to the nearest one hundred thousand?
-1300000
Suppose 209*y + 9573750000 = 84*y. What is y rounded to the nearest one million?
-77000000
Let q = -3026500710.9999483 + 3026499867. Let v = q + 844. Round v to 6 dps.
0.000052
Suppose 745 + 987 = 2*v. Suppose -r = -3*r + v. Suppose -3*l - r - 842 = 3*g, -l - 5*g = 445. What is l rounded to the nearest 100?
-400
Let q = 6.657 - 9.5865. Let o = q - -0.0195. What is o rounded to the nearest integer?
-3
Let o = 6316.4 + -4781. Let f = o - 1535.390559. Round f to 3 decimal places.
0.009
Let s = 221 - 147. Suppose 40 = -3*a - 53. Let w be s*(-26)/(-4) + (a - -30). Round w to the nearest 100.
500
Let r = -81 + 135. Let l = 45 - r. Let z = l - -8.99999984. Round z to seven decimal places.
-0.0000002
Let m = -1196 - -825. Let z = -370.9627 - m. What is z rounded to 3 decimal places?
0.037
Let z = -0.12831892 + 0.12803. What is z rounded to 6 dps?
-0.000289
Let z = 3772.3 + -4299. What is z rounded to the nearest 10?
-530
Let p = -52.6 + -215.4. Let b = -552.004996 - -820.005129. Let q = b + p. What is q rounded to 5 decimal places?
0.00013
Let k = -1038437 + 582517. Round k to the nearest ten thousand.
-460000
Let o(m) = 6568*m + 7384. Let v be o(-83). What is v rounded to the nearest 1000?
-538000
Suppose 26*t + 57520846 = 246072846. Round t to the nearest one million.
7000000
Let x(s) be the third derivative of -11*s**6/30 - 29*s**5/60 + 7*s**4/8 + 10*s**3/3 + s**2. Let i = 492 - 512. Let y be x(i). Round y to the nearest 100000.
300000
Let s = 27638 + -14428. Round s to the nearest one thousand.
13000
Let m = 0.73 - -74.27. Let z = m - 224. Let f = z + 149.00000173. What is f rounded to 7 decimal places?
0.0000017
Let m = -92.40922 - -92.4. Round m to 3 decimal places.
-0.009
Let h be (-9)/(36/(-16)) - 1. Suppose h*i - 34 = 2*i. Suppose 0 = 2*n - 4*l - 42 + 126, 0 = n - 4*l + i. What is n rounded to the nearest 100?
-100
Let j = 9.1 - 75.1. Let q = 29 + j. Let w = q - -24.5. What is w rounded to zero dps?
-13
Suppose 18*x + 71678988 = -3*z + 21*x, 3*z - 2*x + 71678992 = 0. What is z rounded to the nearest 100000?
-23900000
Let f = 0.0157 - 4.5557. Let c = 4.54000913 + f. Round c to 7 decimal places.
0.0000091
Suppose h - 10 + 6 = 0. Suppose 0 = h*r - 4*a + 69200, 2*r - a - 4759 + 39355 = 0. Let t be ((-2)/1 - 2) + r. What is t rounded to the nearest 1000?
-17000
Suppose 0 = 4*d + 4*a + 1804142 - 19678598, -4*a = -d + 4468609. Suppose 15228613 = -n + d. Round n to the nearest 1000000.
-11000000
Let a = -5641 - -5640.9981. What is a rounded to two decimal places?
0
Let w(l) = -6312*l + 2671. Let q be w(6). Round q to the nearest 1000.
-35000
Let z = -8127.715 + 9076.0131. Let f = 948 - z. What is f rounded to 2 dps?
-0.3
Let c = 11.115 + -11. Let p = 108.276 + -108.391093. Let a = c + p. What is a rounded to five dps?
-0.00009
Let k = -0.16671 + -1.66039. Round k to 2 dps.
-1.83
Let r = 168.7 + -26.7. Let i = -6575639.4 - -6575497.399862. Let j = i + r. Round j to 5 dps.
-0.00014
Let f be 8 - 464/56 - ((-582960046)/14 + 3). Round f to the nearest one hundred thousand.
41600000
Let p = 35 - 32. Let v(z) = -11*z + 34*z**2 - 29*z**2 - 10 - 2*z**p - 25*z**2. Let h be v(-9). What is h rounded to the nearest ten?
-70
Let m = -56124 - -14514. What is m rounded to the nearest one thousand?
-42000
Let d = -5.87 - -5.6. Let x = 0.57 - d. Let c = x + 6.76. Round c to the nearest integer.
8
Let i be 2*(0 - -1) + (-27)/3. Let u(j) = -110408*j**2 - 3*j - 29. Let g be u(i). Round g to the nearest one hundred thousand.
-5400000
Let k = 256 + -261.15. Let m = -55345.42 - -55350.569681. Let a = m + k. What is a rounded to five dps?
-0.00032
Let p = 2.582 + -2.0978. Let q = p - 0.48422769. What is q rounded to 6 dps?
-0.000028
Let s = 3.33 - 5. Let u = -3568 - -3542.13. Let f = s - u. Round f to 0 dps.
24
Let j = 492 + -476.24. Let n = j + -6.51. What is n rounded to the nearest integer?
9
Let y(u) = -77*u**2 + 3*u + 2. Let q be y(-1). Let d be (5402548/(-8))/(-2 - q/40). Suppose -d = -13*r + 273630. Round r to the nearest one hundred thousand.
1100000
Let a be 15/(-6)*9/((-450)/(-96440)). Round a to the nearest 1000.
-5000
Let v = 1243298.83 + -1243301.46000158. Let l = -2.63 - v. What is l rounded to seven dps?
0.0000016
Let z = 10.096 - 10.09599909879. Round z to 7 dps.
0.0000009
Let z = 11696 - 11696.00000009708. Round z to seven dps.
-0.0000001
Let b = 65.98928 + 0.01072. Let m = -7875175724 - -7875175789.99999918. Let y = b - m. What is y rounded to 7 decimal places?
0.0000008
Let j = -27723 - -27696.984. What is j rounded to the nearest 10?
-30
Let v = 2286989.853 - 2287000.002998817. Let y = v + 10.15. What is y rounded to 7 decimal places?
0.0000012
Let y = 16876345021 + -16876344863.99999858. Let f = 157 - y. Round f to seven dps.
-0.0000014
Let y = -66 - -67.14. Let v = 57.86 + y. Let r = 61.1 - v. What is r rounded to 0 decimal places?
2
Let y = -7723.80066 + 7724. Round y to 1 decimal place.
0.2
Let i = 0.67 - -17.33. Let p = i - 21.52. Let f = -3.520000491 - p. What is f rounded to seven dps?
-0.0000005
Let w = -833374.0622965 - -838901.062300629. Let b = w + -5527. What is b rounded to six decimal places?
0.000004
Let r(i) = 3236629*i - 29. Let p be r(-6). Let c = -6586892 + -3232911. Let t = c - p. Round t to the nearest 1000000.
10000000
Let k(z) = 90*z + 53. Let v be (-1)/((-12)/(-3)) + 129/(-12). Let x be k(v). Round x to the nearest one hundred.
-900
Let h = 4713.01407 + -4713. What is h rounded to 4 decimal places?
0.0141
Let z be 3 - (0/(-2) + (-11 - -7)). Suppose z*i + 11*i + 108 = 0. Let q be 24184/i + (-14)/(-21). Round q to the nearest one hundred.
-4000
Let a = 3277.2 - 3850. Round a to the nearest 10.
-570
Let i = 33997 + -50682. Let y be 124/2*835/2. Let s = i + y. Round s to the nearest 1000.
9000
Let a(q) = 5*q - 108. Let i be a(23). Suppose -3*l + n = 48598, i*l - 5*n = 3*l - 64790. Round l to the nearest 1000.
-16000
Let i = 2729.5 - 2737.891. What is i rounded to one dp?
-8.4
Let p = 10.4 - 10.123. Let l = p + -184.277. Let w = 168.8 + l. Round w to the nearest integer.
-15
Let u = 45.5 + 289.5. Let z = 334.99026 - u. Round z to 3 decimal places.
-0.01
Let i = 199.5 + -199.5510032. Let j = -91 + 91.051. Let u = j + i. What is u rounded to 6 decimal places?
-0.000003
Let f = 5.76 + 1. Let l = 66.36 - f. What is l rounded to zero dps?
60
Let c = -34406.09804 + 34408. Let g = -1.9 + c. What is g rounded to 4 dps?
0.002
Suppose -3*o - 5*m + 594 = 0, -2*o = o - 5*m - 624. Let s(l) = -o*l**2 + 6*l - 5 - 2*l + l + 3. Let u be s(4). Round u to the nearest one hundred.
-3200
Let n = -1682.899983889 - -1682.9. What is n rounded to 7 decimal places?
0.0000161
Let v = 22095.8272 + -22081. What is v rounded to zero decimal places?
15
Let t = 24.5 - 35.7. Let u = 1.7 - t. What is u rounded to the nearest integer?
13
Let t(d) = 571*d**3 + 8*d**2 + 31*d + 34. Let v be t(19). What is v rounded to the nearest one million?
4000000
Let p = 20505937.077 + -11150.077. Let i = -20494918.99869 + p. Let q = -132 - i. What is q rounded to four dps?
-0.0013
Let v(r) = -r**3 + 4*r**2 + 8*r - 12. Let a be v(5). Let q be 1/3*a*0. Let j be (-2 - q) + 14 + -242. Round j to the nearest 100.
-200
Let k(z) = z**3 - 8*z**2 + z - 2. Let y be (3 - (-12)/8)*8/(-12). Let a be k(y). What is a rounded to the nearest one hundred?
-100
Let h = 19
|
{
"pile_set_name": "DM Mathematics"
}
|
- o - 14 = 0 for i.
-3
Let h = 5 - 14. Let v(m) = 5*m**3 + 136*m**2 + 26*m - 25. Let w be v(-27). Let b be -1 - w - (-6 + h + 7). Solve -o = 5*x - 24, -28 = -4*x + b*o - 3 for x.
5
Let f be (-3)/(2 - (-14)/(-4)). Let x be (20/85)/(-5 - (-8 - (-98)/34)). Solve 5*q - 30 = -5*v, -q - 8 = -x*q - f*v for q.
4
Let t = 15913 - 15887. Solve -4*c - 2 + t = 4*x, c + 9 = 4*x for x.
3
Suppose 10*q = -48 - 462. Let r = q - -52. Solve 2*d - r = -3*y - 3, 3*y - 14 = 2*d for y.
2
Suppose -29 = -w - 4*b, 1377 = b + 1372. Solve 3*j = -3*v - 36, -12 = w*v - 6*v for j.
-8
Let p(c) = -112*c + 2138. Let o be p(19). Solve -o*t - 5*b - 18 = -2*t, 4*t = 2*b for t.
-1
Let w(b) = -b**3 - b**2 + 31*b + 102. Let t be w(6). Solve 0 = 4*x - 5*q - 0*q + t, 0 = 5*q - 20 for x.
-4
Let f(l) = 5*l - 74. Let p(w) = 11*w - 147. Let s(d) = -7*f(d) + 4*p(d). Let t be s(0). Let b = t + 73. Solve -4*z = 2*v - 6, 5*v - b*z - 9 = -7*z for v.
1
Let l = 233 - 224. Let a(p) = p**2 - 10*p + 24. Let d be a(l). Solve -3*f + 4 = 4*q - d, 0 = 3*q - f - 11 for q.
4
Suppose 2*h + 39*o - 40*o = 129, -2*o = -6. Let m be 35/(-25) - h/(-15). Solve 4*i = -m*b + 5, -10*b = -7*b - 3*i - 12 for b.
3
Suppose 0 = -14*w - 64 - 6. Let o(a) = 3*a**2 + 15*a + 2. Let d be o(w). Solve 4 = -d*l, -v + 2 + 7 = -3*l for v.
3
Let f = -5108 - -5110. Let p = 4 + 0. Let i be -2 - -2 - 3/(-1). Solve -p*x - i*h - 24 = 0, 5*x + f*h = -4 - 19 for x.
-3
Let b(k) be the second derivative of 0 + 2/3*k**3 - 1/12*k**4 + 18*k + 3/20*k**5 - k**2. Let c be b(1). Solve 0*o = 2*j + 2*o - 12, c*o - 23 = -3*j for j.
1
Let d(a) = a**3 + 7*a**2 - 7*a + 12. Let b(s) = 14*s - 134. Let p be b(9). Let y be d(p). Solve -2*r + 37 = 5*x + 2, -y*x = -4*r for x.
5
Suppose -3*z + 3*p = 489, 4*z = 9*p - 8*p - 643. Let r = z - -164. Solve 3*t = r*b + 17, b - 1 = -t - 0*b for t.
3
Let w(j) = -j**3 - 6*j**2 - 3*j + 14. Let l be w(-5). Let v be (-5)/20*-7 - (-1)/l. Let y = 1 + v. Solve -4*i + 4*m + 16 = 0, -y = -i - 2*m + 1 for i.
4
Let h be (-2)/6 - (-128)/24. Let a = -95 - -39. Let w = a - -66. Solve 5*b - h*u = w, -6*b + 3*b = 2*u - 6 for b.
2
Let q be (4/(-5))/(-10*3/1275). Suppose q + 74 = 9*x. Solve -3*m - 2*p + 5*p = 18, -x = m - 4*p for m.
-4
Suppose 2*x - 36 = -5*c, -11*c + 3 = -5*x - 8*c. Solve 0 = 3*g - x*s + 6*s - 24, -3*s + 32 = 5*g for g.
4
Let t(y) = -2*y**2 + 15*y + 518. Let o be t(19). Solve 2*c + 5 = -3*a, -3*a + 80 = 4*c + o for c.
2
Suppose 2 = 4*j - 38. Suppose 0 = j*v + 780 + 50. Let f = v + 88. Solve -h + 20 = -f*a, -5*h - 21 = 3*a + 19 for a.
-5
Let u = -26 + 43. Let d = u - 2. Let b = d - 15. Solve -4*t + 5*y - 37 = 0, t - 4*y + 17 + 6 = b for t.
-3
Let z = -1879 - -1881. Solve 3*x - 5*j = -26, 5*x - j + 4*j - z = 0 for x.
-2
Suppose n = 3*s + 11, -6*n = -4*n - s + 3. Let f be n/22 + 56/308. Let v(t) = 5*t + 2. Let b be v(2). Solve 4 = -w + 3*g - g, 5*w - 2*g - b = f for w.
4
Suppose -521*c + 2440 = -399*c. Solve 3*y = -c*v + 21*v - 2, 5*y = v for y.
1
Let b = 18290 - 18277. Solve 5*q + b = 2*j, q = 3*j - 10 - 3 for j.
4
Suppose 0 = m + 4*g + 24, 137 = 3*m + g + 132. Solve m*k + 8 = -n, 0 = -k + 2*n - 2 - 0 for k.
-2
Suppose s + 39*i = 36*i + 15, -s + 14 = 4*i. Solve -8 = 4*l + 2*f, -4*f + 6 - s = 4*l for l.
-1
Suppose -3*k = -k + 6. Let n be (4 + k/6*9)*0. Solve -2*d + n*h - 12 = -h, -d = -4*h + 20 for d.
-4
Suppose 33*s = -x + 35*s - 6, -16 = x - 4*s. Solve 2*o - 16 = x*v, 3*o = -4*v - 8 - 18 for o.
-2
Let t(x) = x**3 - 19*x**2 + 83*x - 26. Let u be t(6). Solve -2*q + 2 = -4*i, -u*q - i = 32 - 9 for q.
-5
Let k = 34 - 32. Suppose -k*r + 8*c - 5*c + 18 = 0, 19 = 5*r - c. Suppose r*n = 3*d + 6, -4*n + 2*n + 2 = -3*d. Solve 5*u = -d*y + 6 + 2, -3*u + 8 = 2*y for u.
0
Let q be -10 + (-22 + -2)/(-4). Let l be (q + 7/(-3))*-3. Solve -3*h = -4*a - l, -4*a + 0*h = 3*h + 13 for a.
-4
Let l = 375 - 1040. Let r = -660 - l. Solve -3*p + 4*o = -6*p - 25, -2*p - r*o - 26 = 0 for p.
-3
Let u = -4110 + 4117. Solve 2*n = 5*g + u, n - 12 = g - 10 for n.
1
Let s = 3355 - 3346. Let u = 4 + 0. Suppose -s - u = -13*j. Solve 0 = 2*p - 0*i + 3*i + j, 5*i - 13 = 4*p for p.
-2
Suppose -1 = -2*i + 9. Suppose -3 = 3*n - 3*f, 9*n = 4*n - 3*f + 19. Solve -3*a - 5 = j, -2*j - 10 = i*a - n for j.
1
Let u be (-177)/2 + 75/150. Let b be (-304)/u - (-36)/66. Solve -2*h - b*v = -5*h - 18, -4*h + 4*v = 20 for h.
-2
Let y be -4 - -8 - (-1216)/(-4). Let k = 303 + y. Let z(n) = n**3 - n**2 - 2*n. Let j be z(2). Solve v + 4 = 0, 5*f + j = -3*v + k for f.
3
Let o(b) = b**3 + 33*b**2 - 43*b - 295. Let k be o(-34). Solve 2*l + 20 = -5*p + k, -3*p = l + 6 for p.
-3
Let l(o) = 3*o**3 + 16*o**2 + 3*o - 10. Let w be l(-5). Solve -6 = -b - h, 2*b = 3*h - w - 8 for b.
2
Suppose 202*k - 113 = 179*k - 21. Solve 0 = -h - 2*u + 8, -k*u = h - 23 + 5 for h.
-2
Let k(i) = -i - 2. Let s be k(-6). Let j be (2 - 1) + (s - 2). Suppose -67*v + 241 = -18 - 76. Solve o = 5*a + 19, 19 + 10 = -j*a + v*o for a.
-3
Suppose -25*i + 71 - 1 + 55 = 0. Solve f - 28*o = -26*o - 1, -2*f - i = -o for f.
-3
Let z(h) = 5*h - 76. Let k be z(-6). Let d = k + 110. Solve i = d*q - i + 4, 5*q - 5*i + 5 = 0 for q.
-1
Let m(l) = 80*l + 2007. Let u be m(-25). Solve -s + 2*s = -2*c - u, 2*s + c + 5 = 0 for s.
-1
Let c = -1726 + 1728. Solve 0*y - 18 = -c*y - 2*t, -y = 2*t - 13 for y.
5
Suppose -8 = -4*b - 2*h, 6*b = 3*b + 5*h + 6. Suppose 0 = -3*p + 7*p - b*p. Suppose -16*o + 12*o + 24 = p. Solve -4*v = 3*f - 7, o*v = -5*f + 2*v + 1 for f.
-3
Suppose -5*f = 5*s + 30, 8*f - 38 = 3*s + 6*f. Let z(x) = 15*x + 152. Let v be z(s). Solve 2*w - 1 = a, 0 = -a + 5*a - 2*w - v for a.
1
Let t(a) = -33*a + 10*a + 17*a - 15 + 11*a. Let j be t(6). Solve 5*h - 19 = -4*x + 6, -5*x - j = -3*h for h.
5
Let r = 603 - 615. Let x be (174/34 - r/(-102)) + -5. Solve -3*w + 3*v = 2*w - 35, x = -5*v - 25 for w.
4
Let s(l) = l**3 - 18*l**2 + 23*l - 54. Let d be s(17). Suppose 76 = -d*r + 268. Solve -t = 5*p + r*t, -p + 2*t = 9 for p.
-3
Suppose -2*b = 10, -3*u + 5*b - 64 + 101 = 0. Solve -4*o - n = -21, -u*o - o - n + 27 = 0 for o.
6
Let d be (18/(-15))/(124/(-1550)). Solve -m - 4*h - 15 = 0, -4*h + 9*h + d = 0 for m.
-3
Let t = -6897 - -6917. Solve 3*a + 3*d - 27 = 0, 45 = 5*a + d + t for a.
4
Suppose 0*u + u - 2 = 0. Let t = -11 - -15. Suppose -5*y - 3*n = 6, 3*n + 0 = 2*y - 6. Solve -t*c - 15 - 3 = -2*k, -2*k + u*c + 8 = y for k.
-1
Let f(d) = -7171 - 7148 + 14300 + 10*d - d**2. Suppose 0 = -r + 3 + 4. Let c be f(r). Solve 0 = -4*z - k + 21, 0 = -z - c*z + 5*k + 10 for z.
5
Let s(o) = -o**2 - 1. Let i(f) = -2*f**2 - 2*f + 6. Let z(v) = -i(v) + s(v). Let n be z(-4). Solve 3*b - 3 - n = -u, -4 = 4*u + 2*b for u.
-2
Suppose -12*i - 83 + 74 = -69. Solve -6 = -3*b + s - i, 4 = -4*s for b.
0
Let o = -2517 - -2520. Solve -4*n + 6 = 2*b, -6*b - n - 6 = -o*b for b.
-3
Suppose -4*a + 10*a = -60. Let h be 6/(-10) - (-24)/a - -7. Suppose 5*r = 5*z + 15, 0*z + h*r - 18 = z. Solve 4*q + p + p = -2, -10 = z*p for q.
2
Suppose 325*s - 12 = 322*s. Suppose -4*l + 6 = -3*u, l - 11*u = -13*u - s. Solve -4*f = 3*o - 13, l*f - 2*o = -4*f - 2 for f.
1
Suppose -5*f - 25 = 0, n - 2*n - 4*f = 4. Let v = 13 + n. Suppose 2*k + v - 35 = 0. Solve -4*q = -3*p - 8, p - 8 = -k*q - q for q.
2
Let w(c) = 3*c - 6*c - c + 6*c**2 - 2. Let j be w(-1). Let a be (-58)/(-10) + -5 - j/10. Solve 3*q = -5*x + 8, a = -4*q - 2*x + 3 + 3 for q.
1
Suppose 84 = -12*a + 24. Let x = 11 + a. Suppose -i - s + 2 = -x*i, -s = 3*i - 2. Solve i = -5*j - 2*u + 20 + 9, -4*j + 2*u = -16 for j.
5
Suppose 5*n + 24*h - 26*h = 12, -4*h = -7*n + 12. Solve -n*d = x + 11, x + 0 = -d - 5 for d.
-2
Let v be (-4)/(-1) - (-3 - (15 + -9)). Suppose -8*o = -v*o + 4*k + 23, -2 = 2*o + 4*k. Solve 4*g - 2 = o*a, -4*g + 5*a - a = 0 for g.
2
Let v = -1578 - -1589. Solve -5*l = 3*k - 2, 3*l - 6*k + 2 - v = 0 for l.
1
Let h be (-54)/(((-45)/6)/5). Suppose 0 = 11*c - 8 - h. Let a(r) = -r - 2. Let g be a(-5). Solve -3 = -3*y + w, 0*w = c*y - g*w - 9 for y.
0
Let a be (-13 + -11)/6 + (1 - 4). Let c be 2/a - (9 - 316/28). Solve -2*w - c*d + 0 + 2 = 0, 0 = -4*w - 3*d for w.
-3
Let z be 284/72 + 2/(-4) + 56/(-126). Solve -4*b + 33 = 5*h, -4*h - z*b = -b - 24 for h.
5
Suppose m - 182 = -2*y, 3*y = m - 2*m + 177. Suppose 5*f + m - 207 = 0. Solve -11 = -3*d - 5*u, 0 = u + f*u - 4 for d.
2
Let u(l) = 2*l**3 - 26*l**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
s the remainder when 24 is divided by o?
0
Suppose -u = 3*u. Let m = 210 + -205. What is the remainder when 14 + u/(-2 + 0) is divided by m?
4
Suppose 5*x + 25 = 5*s, s + 4 = -x + 5. Let f(k) = -4*k - 3. What is the remainder when 9 is divided by f(x)?
4
Suppose -5*n + 4*q = -135, 0 = 4*n + q - 102 - 6. Suppose -2 = -2*a, v + n = 3*a - 1. Let t = v - -68. Calculate the remainder when t is divided by 15.
13
Suppose 3*m + 2*s - 47 - 3 = 0, 4*m - 105 = 5*s. What is the remainder when m is divided by 11?
9
Let r = -60 - -137. Calculate the remainder when (-104)/(-7) + 11/r is divided by 9.
6
Suppose -3*g + 50 = t, 2*t = -3*g - 2*g + 83. What is the remainder when g is divided by (9/(-4))/(2/(-8))?
8
Let b = -92 - -132. Calculate the remainder when b is divided by 6.
4
Suppose 0*l - 5 = -3*l + 5*b, -2*l = 3*b - 35. Suppose 2*m = f - l, 3 - 19 = -4*m. Calculate the remainder when f is divided by (5/3)/(2/6).
3
Let i(s) = s - 1. Suppose -6 = -b - 2. What is the remainder when 7 is divided by i(b)?
1
Let q be 2*(-2 - -1) + 8. Let p = 5 - q. Calculate the remainder when 1 is divided by p/((-1 - 1)/2).
0
Let g = -12 + 16. What is the remainder when g is divided by 3?
1
Let m(k) = -9*k**3 + 2*k + 1. Calculate the remainder when m(-2) is divided by 18.
15
Suppose 21 = 2*a - 4*g - 9, 3*a - 5*g - 48 = 0. Let x = 88 - 77. What is the remainder when a is divided by x?
10
Suppose 4*v + 40 = 4*t, -t = t - 3*v - 19. Let j be 4/(-12) + (-16)/6. Let k(u) = -3*u**3 - 3*u**2 + 5*u + 4. What is the remainder when k(j) is divided by t?
10
Let q(t) = t**3 - 10*t**2 - 8*t - 13. Calculate the remainder when 59 is divided by q(11).
19
Let k be 0 - 4*1/(-2). Let g = 112 - 74. Suppose -3*b = -k*q + 79, -b = q + 1 - g. Calculate the remainder when q is divided by 13.
12
Suppose -g + 28 = 4*q + g, g + 22 = 4*q. Let n be 14/3 - (-2)/q. What is the remainder when 2 is divided by (n - 2)*(-2)/(-3)?
0
Let a(t) = 4*t**2 + 7*t + 9. Calculate the remainder when 30 is divided by a(-2).
8
Let k be 3/(1 + 2) + 0. Suppose -2 = -2*n + 5*i - k, 0 = 5*n - 3*i - 31. What is the remainder when 14 is divided by n?
6
Let h = -19 + 37. Suppose -5*a - 3*v = -50, -v + 40 = 6*a - 2*a. What is the remainder when h is divided by a?
8
Let x = 22 + -10. Let g = 125 - 73. Calculate the remainder when -2 + g - (-4 + 7) is divided by x.
11
Let b(g) = g + 7. Let r be b(-4). Suppose -r*t + t + 24 = 0. Let q(c) = 2*c**3 + 3*c**2 - 3*c. What is the remainder when q(2) is divided by t?
10
Let o(n) = -n**3 - 6*n**2 - 7*n - 3. Calculate the remainder when 20 is divided by o(-5).
6
What is the remainder when (-1)/(-5) - 48/(-10) is divided by 2?
1
Let i be 4/(-6) - (-229)/(-3). Let z = 110 + i. Let a = 56 - z. What is the remainder when a is divided by 12?
11
Let t(m) = 2*m**3 - 25*m**2 + 10*m + 25. Suppose -x - 4 = -0. Let o(g) = g + 6. Calculate the remainder when o(x) is divided by t(12).
0
Let l(i) = 1 - 4 + i**2 - 7 + i. Calculate the remainder when 59 is divided by l(-6).
19
Let n(w) = w**2 + 4*w - 21. Calculate the remainder when 19 is divided by n(4).
8
Let h(q) = 7*q + 4. Let g be ((-5)/(-2))/(35/84). Calculate the remainder when h(g) is divided by 12.
10
Suppose 2 = 5*p - 13. Suppose p*f - f = 40. Calculate the remainder when 58 is divided by f.
18
Suppose -21 + 5 = -2*l - 3*v, 0 = l - v - 3. Suppose -3 = -i + 1. Suppose l*h + 8 = -0*b + b, b = i*h + 8. What is the remainder when 23 is divided by b?
7
Let l = 26 + -4. Let r = 42 - l. What is the remainder when r is divided by 7?
6
Let h = 3 - -11. Let v = -4 + 8. Suppose 0 = 4*z - 6*z + v*g, -3*z + g = -20. Calculate the remainder when h is divided by z.
6
Let w = 13 - 5. Let u(r) = r**3 - 7*r**2 + 7*r - 1. Let d be u(6). Suppose d*j = 22 + 3. What is the remainder when w is divided by j?
3
Let d be -2 + (1 - (-2 + -1)). Suppose -3*u + d*j + 17 = 0, -j + 22 = 4*u - 4*j. What is the remainder when (38/(-2))/(1*-1) is divided by u?
5
Suppose -7 = 3*q + 2, 2*a + 13 = -5*q. Let m be 5/2 - a/2. Calculate the remainder when 35 is divided by ((-1)/m)/(5/(-180)).
17
Let p = 11 + -8. Suppose -q - 6 = 2*w, 4*q = q + p*w - 9. Calculate the remainder when -8*(q + 1 - -1) is divided by 6.
4
Suppose f - 2 - 3 = 0. Suppose -2*z - z - 5*u + 26 = 0, 3*u - 18 = -3*z. What is the remainder when f is divided by z?
1
Suppose 3*n = -w - 0*n + 11, 2*n + 2 = 0. Let v(o) = o**2 + o - 4. Calculate the remainder when w is divided by v(-4).
6
Let b = 6 - 6. Suppose b = v + 3*v - 188. What is the remainder when v is divided by 16?
15
Suppose 5*k = -0*k + 15. Suppose -2*r - a - k = 0, 0 = 2*r + 5*a - 22 + 5. Let l = r - -5. What is the remainder when 2 is divided by l?
0
Suppose -20 = -4*w - w. Suppose -p + 5*v + 20 = p, 3*p + w*v - 7 = 0. Let u = p - 2. Calculate the remainder when 8 is divided by u.
2
Let x = 7 + -10. What is the remainder when (4/(-10))/(1/(-45)) is divided by (x/(-2))/(9/60)?
8
Suppose 6*d + z - 9 = 3*d, 0 = -4*z + 12. Suppose -12 = -d*m - 4. Calculate the remainder when 6 is divided by m.
2
Let r = -5 + 1. Calculate the remainder when ((-98)/(-21))/(r/(-18)) is divided by 11.
10
Let p be 1*(7 - 1)/(-3). Let c be 9*1/(-6)*p. Suppose -c*z + 2*z + 22 = 0. Calculate the remainder when z is divided by 12.
10
Let w = -6 + 10. Let b(p) = p**3 - 5*p**2 + 5*p - 5. Let g be b(w). What is the remainder when 31 is divided by 14 + (-4 - g - 0)?
9
Let g = 94 + -57. Calculate the remainder when g is divided by 14.
9
Suppose -130 = -2*k + 28. What is the remainder when k is divided by 9?
7
Suppose -5*c + 125 = -0*c. What is the remainder when c is divided by 2/(-4) - (-38)/4?
7
Suppose -a + 6*a - 233 = -2*f, f + 131 = 3*a. What is the remainder when 269 is divided by a?
44
Let r be 0 + 124/(2/2). Suppose -10 + r = 2*h. What is the remainder when h is divided by 15?
12
Suppose -2*r + 4*g = -g - 39, -4*g + 15 = 5*r. What is the remainder when r is divided by 10*(1 + (-9)/15)?
3
Suppose 4*y + 108 = 3*o + y, 0 = 3*y + 9. Suppose -o = -4*f + 43. What is the remainder when f is divided by 7?
5
Suppose -5*t + 229 - 34 = 0. Suppose -z - t = -a - 0*a, 145 = 3*a + 4*z. What is the remainder when a is divided by 11?
10
Let a(l) = l**2 + 3*l - 5. Let s = 4 - 2. Calculate the remainder when a(-5) is divided by s.
1
Let s(t) = t**3 + 4*t**2 + 4*t + 4. Let x be s(-3). Suppose 4*f + 69 = 5*g - x, 0 = -5*g + 5*f + 70. What is the remainder when g is divided by 8?
6
Let w = -29 - -44. Suppose -2*j + w = j. Calculate the remainder when j is divided by (-4)/(-2*(1 - 0)).
1
Suppose 0 = -j + 3*j, i - 7 = 2*j. Suppose -5*n + 87 = 22. Calculate the remainder when n is divided by i.
6
Let w(u) = -2*u - 9. Let g be w(-6). Suppose 3*l = -3*h + g, 0 = 5*l + h - 12 - 1. What is the remainder when l is divided by 1?
0
Let d be (-1005)/(-9) - 8/12. Suppose -5*h + d = -4. Calculate the remainder when h is divided by 13.
10
Let z = -28 - -56. Let g(x) = -x**3 - 5*x**2 + 6*x + 10. What is the remainder when z is divided by g(-6)?
8
Suppose -14 = -a - 11. Let r(u) = u**2 + 2*u + 2. Calculate the remainder when a is divided by r(-2).
1
Let h be (18/(-15))/((-6)/20). Suppose 0 = -h*d - 4, 35 = 4*p - d + 6*d. Calculate the remainder when 27 is divided by p.
7
Let z(n) = -2*n. Let b be z(-2). Let x = b - 1. Suppose x*g + 0*g = 27. Calculate the remainder when g is divided by 5.
4
Let u(o) = 53*o - 49. Calculate the remainder when u(6) is divided by 30.
29
Suppose 4*h = 7*m - 10*m + 45, -2*h = 2*m - 30. Calculate the remainder when 26 is divided by m.
11
Let y(u) = -u**2 - 5*u + 2. Suppose -5*b - 22 = -37. Calculate the remainder when y(-4) is divided by b.
0
Suppose 2*r = -0*r + l + 13, -5*r = -l - 37. What is the remainder when 37 is divided by r?
5
Let l(g) = -3*g**3 - 2*g**2 + 3. What is the remainder when l(-3) is divided by 23?
20
Let u = -89 + 95. What is the remainder when u is divided by 2?
0
Calculate the remainder when (-28 - 2)/((-24)/16) is divided by 8.
4
Suppose p + 6 = 2*p. Suppose l - 20 + p = 0. Suppose -3*j + 191 = 5*k, k + j = l + 25. Calculate the remainder when k is divided by 10.
7
Suppose 3*d + 4*o - 75 = 0, -3*o = 8*d - 4*d - 100. What is the remainder when (-2)/8 + 189/4 is divided by d?
22
Suppose 3*t + k - 229 = -k, k - 76 = -t. What is the remainder when t is divided by 21?
14
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
t(136)*-1 + sqrt(136)) + sqrt(136))/sqrt(4))/(sqrt(8)/(sqrt(16)/sqrt(4))*-6).
-sqrt(17)/6
Simplify (sqrt(7)*-3*2)**2*-1 + -1*(-3*sqrt(448) + sqrt(448)).
-252 + 16*sqrt(7)
Simplify (sqrt(120)/sqrt(2)*-2 - 4*sqrt(120)/sqrt(2))/(sqrt(300)*-2 + (sqrt(12) - sqrt(24)/sqrt(32))).
24*sqrt(5)/37
Simplify 3 + (sqrt(117) + sqrt(117) + sqrt(117)*-3*-2)/(sqrt(225)*1).
3 + 8*sqrt(13)/5
Simplify (-3*(-2*sqrt(68) - sqrt(68)) + -3*2*sqrt(68))/(sqrt(44)/((sqrt(275) + 3*sqrt(275) + sqrt(275) - sqrt(275)) + sqrt(275))).
75*sqrt(17)
Simplify (-4*(sqrt(72) - (5*sqrt(72) + sqrt(72) + sqrt(72) - sqrt(72)))*-4 + 2)**2.
-1920*sqrt(2) + 460804
Simplify (sqrt(384)/sqrt(200))**2 + (6*-3*sqrt(192))**2.
1555248/25
Simplify -3*(1 + sqrt(3) + (sqrt(3) - 1*sqrt(48)) + sqrt(144)/sqrt(3))**2.
-39 - 12*sqrt(3)
Simplify sqrt(76) + sqrt(76) + 2 + -4 + 2*(-1 + sqrt(19) + sqrt(304) - sqrt(19)).
-4 + 12*sqrt(19)
Simplify 6*1*sqrt(57)/(2*sqrt(48))*-1.
-3*sqrt(19)/4
Simplify ((sqrt(11) + sqrt(176) + -2)*3 - (-5 + -1*sqrt(11)*-1))**2 + 3.
-28*sqrt(11) + 2160
Simplify ((-1*(sqrt(28) + -2))**2 - (-2 + sqrt(28) + 4))*5.
-50*sqrt(7) + 150
Simplify (-4*sqrt(300))/(sqrt(16)/(sqrt(32)/sqrt(8))).
-20*sqrt(3)
Simplify (sqrt(11) + 0)**2*3 + sqrt(11)*1 + 1 + -3 + 1.
sqrt(11) + 32
Simplify (-1 + ((sqrt(19) + sqrt(304))**2 + -4)*-5*6)*-4.
56524
Simplify (sqrt(336)/sqrt(108))/(sqrt(96)/sqrt(6)) + 4.
sqrt(7)/6 + 4
Simplify (sqrt(152)/(sqrt(196)*-2))/(sqrt(72) - sqrt(72)*-1 - (sqrt(16) - sqrt(48)/sqrt(3))/sqrt(8)) + 4.
-sqrt(19)/168 + 4
Simplify ((sqrt(288)*-2)/(3*sqrt(100) - sqrt(4)))**2.
72/49
Simplify -2*sqrt(75)*1 - -2*sqrt(144)/sqrt(3).
-2*sqrt(3)
Simplify (sqrt(16) - -3*(sqrt(16) - sqrt(144)))/(sqrt(8) + (sqrt(320)/sqrt(10))/sqrt(4) + sqrt(8)).
-5*sqrt(2)/3
Simplify ((sqrt(40) + (sqrt(40) - -1*sqrt(40)))*3 + sqrt(160)*-1)/(-6*(sqrt(8) + (-3*sqrt(72) - sqrt(72))/sqrt(9))).
7*sqrt(5)/18
Simplify ((sqrt(2299) + 0)*3 - (1 + sqrt(2299))*-6)**2 - (sqrt(19) - (sqrt(1539) + (2*sqrt(1539))**2) - (-1 + sqrt(76))**2).
1192*sqrt(19) + 192488
Simplify (((sqrt(72) - (-1*(sqrt(72) - -2*sqrt(72)) - sqrt(72))) + sqrt(72))/sqrt(8))/(((sqrt(396)*-1)/sqrt(11))/sqrt(12)).
-6*sqrt(3)
Simplify (2*sqrt(76) + -2 + sqrt(76) + (sqrt(76) + -1)*-1)*2 + -1.
-3 + 8*sqrt(19)
Simplify (-1 + (sqrt(80) + -1 - sqrt(220)/sqrt(11)) + -2)**2.
-16*sqrt(5) + 36
Simplify sqrt(28) + 3 + 5 + (-4*sqrt(42)*-6)/sqrt(6).
8 + 26*sqrt(7)
Simplify 6*(sqrt(605) - 6*sqrt(605)*3 - (sqrt(605) + 2 + sqrt(605))*3).
-1518*sqrt(5) - 36
Simplify -3 + (-1*sqrt(320)*3 + (sqrt(320) - (-1*sqrt(320)*-3 - sqrt(320)) - sqrt(320)))**2 + -1.
7996
Simplify -1 + (sqrt(567) + (sqrt(567) - (-5 + 0 + sqrt(567)) - sqrt(567)))**2 - ((-2*sqrt(49)*3)/(sqrt(847) + sqrt(847)*1 + sqrt(847)))**2.
2876/121
Simplify 2 + (-2*sqrt(76)/sqrt(4) + 4 + (0 + sqrt(1539))*2)**2 + 1.
128*sqrt(19) + 4883
Simplify sqrt(22)/(sqrt(2)*5*5) + (2*(sqrt(11) + sqrt(11)*-1) - 1*sqrt(11)*5).
-124*sqrt(11)/25
Simplify ((-5*sqrt(10)/sqrt(2) + 6*sqrt(5)*1)**2 + 2*sqrt(135)/sqrt(3) + -3)*-5.
-30*sqrt(5) - 10
Simplify (3*sqrt(484)*2)/(-6*(sqrt(2) + sqrt(18)*-5)).
11*sqrt(2)/14
Simplify 3*(-4 + sqrt(6)/sqrt(3)*-3 + sqrt(10)/(sqrt(5)*2))**2.
60*sqrt(2) + 171/2
Simplify (sqrt(19) + (2 + sqrt(2299))**2 - -3*(sqrt(684))**2) + 1 + (-1*sqrt(2299))**2 + -2.
45*sqrt(19) + 6653
Simplify ((sqrt(245) - ((sqrt(245) + 3)*-4 + sqrt(245)))*3 + 0 + sqrt(245) + 3 + ((sqrt(245) - (sqrt(245) + (sqrt(245) - sqrt(245)*-1)))*4 - sqrt(245)))**2.
2184*sqrt(5) + 5441
Simplify ((0 + sqrt(1573) + -3)*4 - -2*(-1 + sqrt(1573) + 2))**2*3.
-3960*sqrt(13) + 170184
Simplify (2 + 5 + (-1 + sqrt(300) + 0 - ((-1 + sqrt(300) - sqrt(300))*3 - sqrt(300))))**2.
360*sqrt(3) + 1281
Simplify 4 + 4*(2*(sqrt(400)/sqrt(8) + sqrt(50)))/sqrt(10)*6.
4 + 96*sqrt(5)
Simplify (sqrt(1300)*2*-3 + -6*sqrt(39)/sqrt(3)*-4)**2.
16848
Simplify (sqrt(1300) + 0 + sqrt(1300))*-2 + 0 + (0 + sqrt(13))*3*6*3.
14*sqrt(13)
Simplify (-1*sqrt(525) + sqrt(525))/(sqrt(252) - sqrt(28)) + (-3*-6*(sqrt(96)/sqrt(2) - sqrt(3)))**2.
8748
Simplify (sqrt(315)/(sqrt(27)/sqrt(3)) - sqrt(35))/(sqrt(21)/(sqrt(12)/sqrt(4))) - ((sqrt(10)/sqrt(2)*-5*-2)**2 + 4).
-504
Simplify -2 + -5 + ((sqrt(363) + -1)**2 - sqrt(363)) + sqrt(27) + 2*sqrt(27) + -4.
-24*sqrt(3) + 353
Simplify -5*((1*sqrt(432))/sqrt(9) - (sqrt(363)*1 + 6*sqrt(3)*-2)).
-25*sqrt(3)
Simplify 6*3*(-5 + -5 + -1 + sqrt(405))**2.
-3564*sqrt(5) + 9468
Simplify -5 + (sqrt(931))**2*1 + sqrt(475) + sqrt(475) + sqrt(475) + sqrt(475) + (-1 + sqrt(475))*4 + sqrt(475) + sqrt(475).
50*sqrt(19) + 922
Simplify (sqrt(500) - sqrt(500)*-1)**2 + 0 - sqrt(500) - (6*1*sqrt(500) + sqrt(500) + sqrt(500))**2 - (3 + sqrt(500) + 0 + 0).
-30003 - 20*sqrt(5)
Simplify (sqrt(17)*-3 + -4 + -5 - 4*(sqrt(272) + -1))**2.
190*sqrt(17) + 6162
Simplify (1*(sqrt(972)*-1 + sqrt(972) + sqrt(972)))/(sqrt(594)/(sqrt(44)/sqrt(4))).
3*sqrt(2)
Simplify -4 + -2 + (sqrt(147)*2)**2 + 2.
584
Simplify (sqrt(486) + sqrt(486) + 1*sqrt(486))/(-2*sqrt(72)) - (sqrt(24)/((sqrt(8) - (-2*sqrt(8) - sqrt(8)))*4))**2*-2.
-9*sqrt(3)/4 + 3/128
Simplify -1*-5*sqrt(209)/((sqrt(396) - sqrt(396)*2) + sqrt(396) + sqrt(396)).
5*sqrt(19)/6
Simplify (sqrt(242)*-1 - sqrt(6)/(sqrt(15)/sqrt(5))) + sqrt(32) + sqrt(192)/sqrt(96).
-7*sqrt(2)
Simplify (5 + sqrt(1539) + 3 + 1*(sqrt(1539) + 2 + sqrt(1539) - sqrt(1539) - sqrt(1539)))*5.
50 + 45*sqrt(19)
Simplify (sqrt(22)/(sqrt(32) + 1*sqrt(32)))**2 - (((1 + sqrt(11) + 1)**2 - sqrt(11)) + -4).
-693/64 - 3*sqrt(11)
Simplify 2 + ((sqrt(440) - -1*sqrt(440)*1)/sqrt(11))/(sqrt(96)/sqrt(3) + sqrt(648)*1).
2*sqrt(5)/11 + 2
Simplify (4*3*sqrt(288))/((sqrt(900) - (sqrt(900) + sqrt(900)*-2)) + sqrt(900)).
8*sqrt(2)/5
Simplify -6*(((sqrt(396) + -1*sqrt(396) - sqrt(396) - sqrt(396)) + 4 - sqrt(396) - (sqrt(396) + (sqrt(396) + sqrt(396) + 2)*4))**2 + 1 + 0).
-342246 - 3456*sqrt(11)
Simplify 6*((sqrt(171) + (1*sqrt(171))**2)*-5 - sqrt(1216)*-2*2).
-5130 + 102*sqrt(19)
Simplify sqrt(28)/(sqrt(4)*-1*-6) + 1 + sqrt(7) + 2 + 4.
7*sqrt(7)/6 + 7
Simplify (5*(sqrt(637) + sqrt(637)*-4) + (2 + sqrt(637))*-3)**2.
1512*sqrt(13) + 206424
Simplify 2 + (-5 + -1*(1 + sqrt(98)))*-4.
26 + 28*sqrt(2)
Simplify -1*((sqrt(90) - 2*sqrt(90) - sqrt(90))/sqrt(5))/(4*(sqrt(96) + sqrt(6)) + sqrt(6))*-5.
-10*sqrt(3)/21
Simplify 2 + -2 + (0 + 3*sqrt(12)/(sqrt(4) - (sqrt(484) + sqrt(484) + (sqrt(484) - (sqrt(484) + (sqrt(484) - -2*sqrt(484)) + sqrt(484)) - sqrt(484)))))**2.
27/1156
Simplify (sqrt(12)/(sqrt(6) + sqrt(60)/(sqrt(30)/sqrt(3))) - sqrt(32)*1*6) + 1.
-47*sqrt(2)/2 + 1
Simplify (sqrt(441)/(sqrt(27)/sqrt(3)))/(-1*sqrt(448))*-1.
sqrt(7)/8
Simplify -4 + ((sqrt(19) + (sqrt(2736) - (4 + sqrt(2736))) + sqrt(19) + 2)**2 - (1*(sqrt(2299) + 2) + sqrt(2299))**2).
-9124 - 96*sqrt(19)
Simplify (6*(5 + (0 + (sqrt(363) + -1 - sqrt(363)))*-6*6))**2.
60516
Simplify (1*sqrt(76)*-3 - (2*sqrt(76) + sqrt(76))*1)/(3*(-1*sqrt(324) + sqrt(324) - sqrt(324))) + -1.
-1 + 2*sqrt(19)/9
Simplify -2*((-2 + 1*sqrt(475)*-2)*-2)**2.
-15232 - 320*sqrt(19)
Simplify ((sqrt(3500) + (sqrt(3500) - -2*sqrt(3500)*-1))/(sqrt(84)/(1*sqrt(588))))**2.
0
Simplify 4 + sqrt(39)/sqrt(3) + sqrt(13) + -5 + ((5*sqrt(65) - sqrt(65))*6)/sqrt(5).
-1 + 26*sqrt(13)
Simplify (((sqrt(2736) - (sqrt(2736)*-2*-5 + sqrt(2736))) + sqrt(2736))*-4 + -2 + 1 + sqrt(2736) + 4)**2.
2664*sqrt(19) + 3745593
Simplify -1*sqrt(7)*-1*6 - (-3 + -3 + (sqrt(28)/sqrt(4) - sqrt(7))).
6 + 6*sqrt(7)
Simplify ((1*(sqrt(160) - 1*sqrt(160)))/sqrt(4))/(4*(sqrt(8) + -2*sqrt(512) + sqrt(512))).
0
Simplify -6*((sqrt(20) + sqrt(720))/sqrt(10))**2 + 2 + sqrt(2) + 0 + -3*sqrt(2) + sqrt(2) + sqrt(2).
-586
Simplify (5*(sqrt(330) + sqrt(330) + sqrt(330) + (sqrt(330)*-2 - sqrt(330)))/sqrt(11))/(sqrt(90)/sqrt(144) + -3*sqrt(10)*-1).
0
Simplify 2 + (1*(sqrt(153)*-2 - sqrt(153)))/(3*sqrt(9)*3) + -3.
-sqrt(17)/3 - 1
Simplify (-1*(sqrt(104) - (sqrt(104) + -2*2*sqrt(104) - sqrt(104))))/(sqrt(512) + sqrt(512) + -4*(sqrt(512)*-1 - sqrt(512) - sqrt(512))).
-5*sqrt(13)/112
Simplify -2*((-1*sqrt(140) - sqrt(140)) + sqrt(35) - sqrt(35))/((-1*sqrt(84))/sqrt(12))*5.
-40*sqrt(5)
Simplify ((sqrt(33) + sqrt(297))/sqrt(11) - -1*sqrt(3)*-1) + -5 + -1.
-6 + 3*sqrt(3)
Simplify 1*(sqrt(1088)*-1 + sqrt(1088) + 5)*6*-5.
-150
Simplify ((1*(2 + sqrt(405)) - sqrt(405)) + -3)**2 + 5.
6
Simplify ((((sqrt(152) -
|
{
"pile_set_name": "DM Mathematics"
}
|
76, 268, 428, 662, 976, 1376, 1868?
y**3 + 28*y**2 + y + 146
What is the v'th term of 382, 1295, 2818, 4951, 7694?
305*v**2 - 2*v + 79
What is the o'th term of -9295, -18588, -27877, -37162?
2*o**2 - 9299*o + 2
What is the o'th term of 11246, 22479, 33710, 44939, 56166?
-o**2 + 11236*o + 11
What is the w'th term of -284, -361, -434, -503, -568?
2*w**2 - 83*w - 203
What is the g'th term of 8355, 8337, 8319, 8301, 8283, 8265?
-18*g + 8373
What is the x'th term of 375, 658, 947, 1242, 1543, 1850?
3*x**2 + 274*x + 98
What is the p'th term of -266, -349, -432, -515?
-83*p - 183
What is the f'th term of -12365, -12412, -12487, -12590, -12721?
-14*f**2 - 5*f - 12346
What is the g'th term of -69, -15, 143, 387, 699, 1061, 1455, 1863?
-3*g**3 + 70*g**2 - 135*g - 1
What is the g'th term of 427, 391, 307, 175?
-24*g**2 + 36*g + 415
What is the t'th term of -904049, -904054, -904071, -904106, -904165, -904254, -904379?
-t**3 + 2*t - 904050
What is the s'th term of -1749, -7078, -15953, -28368, -44317, -63794?
s**3 - 1779*s**2 + s + 28
What is the w'th term of -4, -180, -334, -460, -552, -604, -610, -564?
w**3 + 5*w**2 - 198*w + 188
What is the k'th term of -1621, -2194, -2767, -3340, -3913, -4486?
-573*k - 1048
What is the g'th term of -1960, -4060, -6160, -8260, -10360?
-2100*g + 140
What is the w'th term of -16, 27, 100, 203, 336?
15*w**2 - 2*w - 29
What is the l'th term of -138, -218, -300, -384, -470, -558?
-l**2 - 77*l - 60
What is the w'th term of 10932, 10716, 10496, 10272?
-2*w**2 - 210*w + 11144
What is the c'th term of 650, 675, 680, 665, 630, 575, 500?
-10*c**2 + 55*c + 605
What is the y'th term of -626, -812, -1122, -1556, -2114, -2796?
-62*y**2 - 564
What is the f'th term of -63, -377, -1207, -2811, -5447, -9373, -14847, -22127?
-43*f**3 - 13*f - 7
What is the o'th term of -5419, -10783, -16147, -21511, -26875?
-5364*o - 55
What is the h'th term of -779, -6822, -23233, -55196, -107895, -186514, -296237, -442248?
-864*h**3 + 5*h + 80
What is the z'th term of -630, -2983, -7060, -12861, -20386, -29635?
-862*z**2 + 233*z - 1
What is the f'th term of -14, -111, -382, -917, -1806, -3139, -5006, -7497?
-15*f**3 + 3*f**2 - f - 1
What is the j'th term of 1063, 8626, 29173, 69196, 135187?
1082*j**3 - 11*j - 8
What is the x'th term of -235, -580, -1151, -2062, -3427, -5360, -7975, -11386?
-19*x**3 + x**2 - 215*x - 2
What is the d'th term of -21078, -42156, -63236, -84318, -105402, -126488, -147576?
-d**2 - 21075*d - 2
What is the g'th term of -209, -726, -1587, -2792?
-172*g**2 - g - 36
What is the v'th term of -148, -375, -754, -1285?
-76*v**2 + v - 73
What is the h'th term of -27198, -27193, -27178, -27147, -27094, -27013?
h**3 - h**2 + h - 27199
What is the g'th term of 13340, 13301, 13228, 13115, 12956, 12745, 12476, 12143?
-g**3 - 11*g**2 + g + 13351
What is the x'th term of -921, -1839, -2771, -3717, -4677?
-7*x**2 - 897*x - 17
What is the w'th term of -23849, -95404, -214669, -381650, -596353, -858784, -1168949, -1526854?
-w**3 - 23849*w**2 - w + 2
What is the z'th term of -84198, -168397, -252596, -336795, -420994, -505193?
-84199*z + 1
What is the q'th term of 237, 388, 527, 648, 745, 812, 843?
-q**3 + 158*q + 80
What is the p'th term of -83951, -83954, -83957, -83960, -83963?
-3*p - 83948
What is the y'th term of 2926, 5856, 8786, 11716?
2930*y - 4
What is the q'th term of 93, 195, 303, 417?
3*q**2 + 93*q - 3
What is the k'th term of 337, 793, 1373, 2077, 2905?
62*k**2 + 270*k + 5
What is the a'th term of -4071, -8194, -12317, -16440, -20563?
-4123*a + 52
What is the s'th term of -145, -255, -399, -595, -861, -1215?
-3*s**3 + s**2 - 92*s - 51
What is the z'th term of 998, 3945, 8846, 15701?
977*z**2 + 16*z + 5
What is the r'th term of 34483, 68948, 103415, 137884, 172355?
r**2 + 34462*r + 20
What is the m'th term of 175397, 175396, 175395?
-m + 175398
What is the v'th term of -2827, -5663, -8507, -11359, -14219, -17087?
-4*v**2 - 2824*v + 1
What is the s'th term of 205, 492, 779, 1066, 1353, 1640?
287*s - 82
What is the k'th term of 22735, 22732, 22727, 22720, 22711?
-k**2 + 22736
What is the y'th term of -62, -270, -618, -1106, -1734, -2502, -3410?
-70*y**2 + 2*y + 6
What is the l'th term of -18549, -37082, -55583, -74040, -92441, -110774, -129027, -147188?
2*l**3 + 4*l**2 - 18559*l + 4
What is the f'th term of 2279, 18247, 61587, 145985, 285127, 492699, 782387?
2281*f**3 + f - 3
What is the i'th term of 12350, 49328, 110946, 197198, 308078, 443580, 603698?
-i**3 + 12326*i**2 + 7*i + 18
What is the s'th term of -638, -2127, -4490, -7721, -11814?
s**3 - 443*s**2 - 167*s - 29
What is the v'th term of -6996, -7012, -7046, -7104, -7192, -7316, -7482?
-v**3 - 3*v**2 - 6992
What is the r'th term of 611, 752, 1047, 1544, 2291, 3336, 4727, 6512?
8*r**3 + 29*r**2 - 2*r + 576
What is the n'th term of 1435, 1540, 1643, 1744, 1843, 1940, 2035?
-n**2 + 108*n + 1328
What is the n'th term of -87906, -87898, -87890, -87882, -87874?
8*n - 87914
What is the f'th term of 3661882, 3661881, 3661880, 3661879, 3661878?
-f + 3661883
What is the n'th term of -12093, -24282, -36471, -48660, -60849, -73038?
-12189*n + 96
What is the s'th term of -11239, -22644, -34049, -45454?
-11405*s + 166
What is the w'th term of -346, -1259, -2784, -4921?
-306*w**2 + 5*w - 45
What is the i'th term of 2105, 4159, 6175, 8147, 10069?
-i**3 - 13*i**2 + 2100*i + 19
What is the q'th term of -2989134, -2989136, -2989138, -2989140, -2989142, -2989144?
-2*q - 2989132
What is the x'th term of -569113, -1138232, -1707351, -2276470?
-569119*x + 6
What is the h'th term of 1097, 2176, 3239, 4286, 5317?
-8*h**2 + 1103*h + 2
What is the w'th term of -1253, -5039, -11349, -20183, -31541, -45423?
-1262*w**2 + 9
What is the q'th term of 87, 206, 361, 552, 779, 1042, 1341?
18*q**2 + 65*q + 4
What is the s'th term of -1585, -1627, -1699, -1801, -1933?
-15*s**2 + 3*s - 1573
What is the a'th term of -5419, -21711, -48863, -86875, -135747, -195479?
-5430*a**2 - 2*a + 13
What is the x'th term of -5838, -11677, -17514, -23349, -29182?
x**2 - 5842*x + 3
What is the y'th term of 2209, 4391, 6573, 8755, 10937?
2182*y + 27
What is the v'th term of -469, -1933, -4497, -8263, -13333?
-17*v**3 - 448*v**2 - v - 3
What is the g'th term of -157794, -157793, -157792, -157791, -157790, -157789?
g - 157795
What is the d'th term of -188382, -188378, -188374, -188370, -188366, -188362?
4*d - 188386
What is the g'th term of -563, -1137, -1689, -2207, -2679, -3093, -3437?
2*g**3 - g**2 - 585*g + 21
What is the x'th term of -2274, -2325, -2410, -2529, -2682, -2869?
-17*x**2 - 2257
What is the a'th term of -9811, -9946, -10081, -10216, -10351, -10486?
-135*a - 9676
What is the x'th term of -2167, -4359, -6551?
-2192*x + 25
What is the x'th term of -3472, -3105, -2738, -2371?
367*x - 3839
What is the n'th term of 29400, 58807, 88214, 117621, 147028, 176435?
29407*n - 7
What is the f'th term of 388, 1427, 3156, 5575, 8684, 12483?
345*f**2 + 4*f + 39
What is the a'th term of 38, 84, 138, 200, 270, 348, 434?
4*a**2 + 34*a
What is the p'th term of 50118, 100235, 150352, 200469?
50117*p + 1
What is the f'th term of 225, 465, 703, 939, 1173?
-f**2 + 243*f - 17
What is the q'th term of 1093, 711, 329, -53?
-382*q + 1475
What is the c'th term of -165, -1533, -5245, -12471, -24381, -42145, -66933?
-195*c**3 - 2*c**2 + 3*c + 29
What is the g'th term of -100, -355, -766, -1321, -2008, -2815, -3730?
2*g**3 - 90*g**2 + g - 13
What is the t'th term of -180, 12, 272, 600, 996, 1460, 1992?
34*t**2 + 90*t - 304
What is the y'th term of 4342, 17948, 40614, 72334, 113102, 162912?
-y**3 + 4536*y**2 + 5*y - 198
What is the q'th term of 811, 1677, 2601, 3583, 4623, 5721, 6877?
29*q**2 + 779*q + 3
What is the y'th term of 32444, 32458, 32478, 32504, 32536, 32574?
3*y**2 + 5*y + 32436
What is the p'th term of 98408, 196828, 295248, 393668, 492088, 590508?
98420*p - 12
What is the z'th term of 28159, 56365, 84573, 112783?
z**2 + 28203*z - 45
What is the k'th term of -767, -1503, -2227, -2933, -3615?
k**3 - 743*k - 25
What is the d'th term of 3455, 3439, 3423, 3401, 3367, 3315?
-d**3 + 6*d**2 - 27*d + 3477
What is the a'th term of 6924, 6925, 6926, 6927, 6928?
a + 6923
What is the k'th term of -456, -928, -1404, -1890, -2392, -2916, -3468, -4054?
|
{
"pile_set_name": "DM Mathematics"
}
|
Express (-2*l - l + 7 + 2*l + (-7*l - l + 2*l)*(3 + 1 + 0))*(0*l + l - 4*l + (-2 - 2 + 6)*(0*l + 4*l - 3*l)) in the form z*l + n + o*l**2 and give o.
25
Rearrange (104 - 104 - 1088*f + 9954*f)*(3 - 7 - 1) to the form k + c*f and give c.
-44330
Rearrange -889 + 310*y - 90*y + 889 + 94*y**3 + 2*y**2 - 91*y**3 to the form s*y + a + q*y**2 + u*y**3 and give s.
220
Express -3*q + q - 3*q**4 + 38455*q**3 - 2 - 38471*q**3 + 2*q**2 in the form r*q**2 + v*q**3 + o*q + j + w*q**4 and give r.
2
Express (-255 + 140 - 243 + (2 + 1 - 4)*(2 + 1 + 0))*(2 + 2*h - 2) in the form p + d*h and give d.
-722
Rearrange 3*h + 0*h - 4*h + (68 + 141 - 436)*(1 + 2*h - 1) to the form l*h + w and give l.
-455
Express 3 - 25*t**2 + 10*t**2 - 156*t + 158*t + 11*t**2 - 109*t**4 in the form s + m*t**4 + b*t**3 + z*t + n*t**2 and give z.
2
Rearrange (-832 + 1428 + 1581)*(1 + 3 - 5 + (3 - 2 - 3)*(2 - 1 - 3) + 3 - 2 + 1)*(-2*j**2 - j**2 + 2*j**2) to x*j + z + q*j**2 and give q.
-10885
Rearrange ((3 + 0 + 0)*(0 + 1 + 0) - 3 - 3 + 5)*(127 + 135*n - 127) to a*n + f and give a.
270
Express 26*o + 2 - 28303*o**2 + 56693*o**2 - 28300*o**2 in the form i + j*o**2 + r*o and give j.
90
Rearrange -50*a**2 + 21*a**2 + 14*a**2 + (2 - a - 2)*(29*a + 107*a - 42*a) to u*a + f + y*a**2 and give y.
-109
Express (6 - 7 + 3)*(-3*m - 2*m + m - 48*m - 61*m + 54*m + (-6 + 5 - 1)*(-2 + 2 - m) + 0*m - 3*m + 2*m)*(-1 - 2 + 4) as c*m + g and give g.
0
Express 3 + 3 - 112*b**2 - 11 + 7 as s*b**2 + i*b + j and give s.
-112
Rearrange 28*b - 11*b - 4 - 18*b + (3 - 2 + 0)*(b - 2*b + 2*b) + (206 - 44 + 30)*(-3*b + 7*b - 2*b) to q + t*b and give q.
-4
Express -4769*s + 4769*s - 66*s**2 + (0*s - s - s)*(-2*s + 0*s + 0*s) - 4 + 0*s**2 + 3 - 3*s**2 in the form i + a*s**2 + p*s and give i.
-1
Rearrange 3942 + 5*u - 7886 - 1107*u**2 - 3*u + 3941 - u to z*u + d + i*u**2 and give d.
-3
Express 301906*w**2 + 7*w**3 - 301907*w**2 - 48*w**3 in the form m + a*w**2 + k*w + c*w**3 and give c.
-41
Rearrange (3 - 2 + 1 + 3 - 1 + 0 + (3 - 2 - 2)*(-2 - 4 + 4))*(0 + 5 + 8)*(-2 + 10 + 3)*(-6*k - k + 2*k) to j*k + x and give j.
-4290
Express (-4 + 2*o**2 + 4)*(2 - 6 + 1) + 53*o**2 - 211*o**2 - 258*o**2 as a*o + p*o**2 + s and give p.
-422
Express (0 + 0 - 6)*(-207*w - 10030 + 10030) as k*w + f and give k.
1242
Rearrange -149 + 611 - 1169*n**2 + n - 462 to the form i*n + z + j*n**2 and give j.
-1169
Express 5*y**2 + 87*y + 152*y - 61*y + 140*y as q*y + d + c*y**2 and give c.
5
Express (j - 7*j - 8*j)*(2 - 5 - 2)*(-344*j - 355*j + 61*j + 164*j) in the form z + o*j**2 + f*j and give o.
-33180
Express (-p + 2 - p + 5*p)*(3*p + 2*p - 6*p)*(-689*p + 1 - 5064*p - 3852*p) as v*p + b*p**3 + c + w*p**2 and give b.
28815
Express 2*j - 292 - 768*j**3 - 257*j**3 - 299 + 592 as m*j**3 + v*j**2 + o + t*j and give t.
2
Express (3*b + b - 2*b)*(0 - 2 + 1 + (-2 - 2 + 5)*(-2 + 4 + 0) + 3 + 0 + 0) + (-211 - 1492 + 294)*(3 - 3 - b) as x*b + q and give x.
1417
Rearrange 64*q**2 + 541 + 70*q**2 + q - 134 + 0*q - 132*q**2 to d + c*q + i*q**2 and give c.
1
Rearrange (-6*i - 8*i + i)*(6 + 0 + 0) + (11 - 10 - 4)*(12 - 12 + i) to c*i + u and give c.
-81
Express 5875 - 9214*x - 5875 in the form n*x + f and give f.
0
Rearrange (-235 - 2*x + 244 + x)*(3 + 1 - 3)*(35 + 50 + 12) to o + g*x and give o.
873
Express -6*y**2 - 19*y**2 - 5*y - 60 + 35*y**2 - 11*y**2 as l*y + f*y**2 + s and give l.
-5
Rearrange (3362 - 5823 + 3050 - 6247 - 10398)*(-4 + 4 - 2*j)*(4*j + 0*j - j) to the form q*j**2 + g*j + o and give q.
96336
Express -6*u**2 - 16*u**3 - 36 - 31 + 6*u**3 + u + 69 as r + l*u + g*u**3 + j*u**2 and give l.
1
Express (311*d - 443 + 443)*(2*d**3 + d**3 - 2*d**3) as i*d**3 + u*d**4 + y*d + j*d**2 + h and give u.
311
Express 934 - 40*k**2 + 26*k**2 - 1049 as a*k + f*k**2 + m and give f.
-14
Rearrange 4 - 4 - 32217*c**2 + 43459*c - 43459*c + (-4 + c + 4)*(c + 0*c - 3*c) to the form r*c**2 + u*c + f and give r.
-32219
Rearrange (39044 - 4040 + 454)*(2*h**3 - h**3 + 0*h**3) to j*h**2 + k*h + r + p*h**3 and give p.
35458
Rearrange (-19*y + 68*y + 74*y)*((2*y + 2*y - 5*y)*(2 - 1 - 3) - 2*y + 2*y + 2*y)*(4 + 4 - 1) to j*y**2 + f + u*y and give u.
0
Express -1 + 5041*m - 2834*m - 2886*m in the form o + u*m and give o.
-1
Express -849*i**3 + 2835157*i**2 + 8*i - 2835157*i**2 in the form f*i**3 + x*i + j*i**2 + l and give x.
8
Express (-4 + 4 - h)*(17267 + 988*h**2 - 17267) + (0*h**2 - 2*h**2 + h**2)*(3*h + 3*h - 3*h) as w*h**3 + x*h**2 + t*h + m and give w.
-991
Express 5933*m + 2351*m + 3354*m as h + p*m and give p.
11638
Rearrange -1 + 8 + 42*y + 69*y - 9*y**2 - 104*y - 2 to c + a*y + r*y**2 and give r.
-9
Express 19*o - 20*o + 175*o**2 + 47*o**2 + 10*o**3 - 6*o**3 - 38*o**2 + 3 in the form x*o**2 + g*o**3 + u*o + k and give g.
4
Express (-12 - 66*r + 134*r - 64*r)*(-3 - 8 - 11)*(-2 - 1 + 1)*(2 - 2 - 3) in the form t + s*r and give s.
-528
Express (239*m**2 - 17532 + 17532)*(-63 + 63 - 8*m) as r*m**3 + l*m + o*m**2 + z and give r.
-1912
Express 220101*l + 7364*l**2 - 220101*l + 8138*l**2 in the form y*l**2 + k*l + j and give k.
0
Rearrange -368*p - 715*p + 349*p + (2 + 2 + 5)*(-4*p + 4*p + 2*p) to k + q*p and give q.
-716
Rearrange (-29*c - 2*c**2 + 29*c - 267*c**2)*(2 - 6 + 7 + 24*c) to n*c**3 + j + m*c**2 + s*c and give m.
-807
Express (15*k - 4*k**3 - 15*k + (-10*k**2 - 10*k**2 + 8*k**2)*(1 + k - 1) + 0*k**3 - 2*k**3 + 0*k**3)*(3 + 0 + 6) as c*k**2 + u*k + d*k**3 + g and give d.
-162
Rearrange -2*w - 7441 - 5767 + 14582 to the form x + h*w and give x.
1374
Rearrange 4005*z - 2368*z - 3861*z to h + l*z and give l.
-2224
Rearrange -2*j**3 + 21 - 4*j**4 - 10 + 154*j**2 - 3*j**4 - 11 to r*j**4 + f*j**2 + y*j**3 + i*j + z and give y.
-2
Express (2*o - 2*o + 3*o)*((-40450 + 17754*o + 40450)*(1 + 2 - 4) + (1 + 2 - 1)*(3*o + o - 2*o)) as l*o + i + z*o**2 and give z.
-53250
Express (-20 + 7 + 3)*(-61 + 61 - 10*h**2 + (16 - 16 + 6*h)*(6*h + 7 - 7)) as r*h**2 + q + z*h and give r.
-260
Rearrange -114*t + 63*t + 58*t + (1 + 40 - 4)*(3*t + 0*t - t) - t + 1 - 1 to the form j + v*t and give v.
80
Rearrange -22 - z + 9*z + 4749*z**2 - z - 4741*z**2 to d*z + j + u*z**2 and give j.
-22
Rearrange 4*l**2 - 3*l**3 + l + 22 + 7*l - 6*l - l**2 to the form b*l + v*l**3 + o + y*l**2 and give b.
2
Rearrange 4*x**3 + 44150*x - 22081*x - 22066*x + 2*x**3 + 8*x**2 to the form o*x + z + v*x**2 + a*x**3 and give a.
6
Express (202*p**2 - 3*p + 3*p + 122*p**2 + 99*p**2)*(-21*p + 39*p + 33*p) as u*p**3 + j + d*p + h*p**2 and give u.
21573
Rearrange 37 + 36 - 4 - 69 + 3169*i to the form h + j*i and give j.
3169
Rearrange -545*b - 2671*b - 4290*b - 460*b to t + i*b and give i.
-7966
Rearrange (-t**2 + 3*t**2 - t**2)*(12*t + 3*t + 6*t) - 2*t**3 + t - t + 0*t**3 + 4*t**3 - t**3 to d*t + q + m*t**2 + j*t**3 and give j.
22
Rearrange 1112 - 8*x + 8*x + 5238*x**2 - 1111 to t + a*x**2 + k*x and give a.
5238
Express j - 2 + 2 + (-1 + 0 + 2)*(0*j - 3*j + j) - 4 + j + 4 + (5*j - 5*j - 5*j)*(5 + 2 - 2) - 3*j + 2*j - 6*j in the form o*j + n and give o.
-32
Express -22*c - 3097 + 6185 - c**3 - 3093 in the form b + d*c**2 + s*c**3 + f*c and give s.
-1
Express 1035 + 219*i - 1035 + (63 - 30*i - 63)*(3 - 4 - 1) as j + a*i and give a.
279
Rearrange (6*r**2 + 4 - 4)*(391 - 2829 - 954 - 239 - 1124) to the form d*r + a*r**2 + b and give a.
-28530
Rearrange (5614*a + 6 - 2 + 0 + 1688*a - 4)*(a**2 + 5*a**2 + 0*a**2) to the form r*a**3 + z*a**2 + c + f*a and give r.
43812
Rearrange (-r - 3*r + r)*(0 + 26 + 25) + 3 - 3 - 2*r + (0 + 0 + 4)*(0 + 0 + 2*r) to v*r + g and give v.
-147
Rearrange -3*i**2 - 379*i**3 + 2 - 24*i**4 - 13*i**4 + 380*i**3 to the form g*i**4 + n + m*i**3 + u*i**2 + b*i and give u.
-3
Express (-3*c + 3*c - c)*(3841*c - 1126*c + 2974*c) as g*c + y + s*c**2 and give s.
-5689
Express (37*o - 77*o - 68*o)*(4*o - 9*o - 7*o) as v*o**2 + m*o + y and give v.
1296
Express (190 - 38*z - 190)*(3*z - 2*z + 2*z) - z**2 + z**2 - 6*z**2 as y + o*z + l*z**2 and give l.
-120
Express (-t + 2*t + 0*t)*(1 - 2 + 8)*(-158532 + 158532 - 123*t) as s*t**2 + m + q*t and give s.
-861
Express (-4*u - 1 + 0*u + 3*u)*(-5*u + 3*u + 0*u + (-u - 3*u + 2*u)*(-2 + 5 - 2) - 365 + 365 - 258*u - 2*u + 7*u + 81*u) as g*u**2 + y*u + f and give g.
176
Express 0*t**3 + 26*t**2 - 12*t**3 - 27*t**2 + (t**2 - 3*t**2 + 3*t**2)*(67*t - 194*t + 53*t)
|
{
"pile_set_name": "DM Mathematics"
}
|
t are the prime factors of 1656?
2, 3, 23
List the prime factors of 31131.
3, 1153
What are the prime factors of 541?
541
List the prime factors of 816.
2, 3, 17
What are the prime factors of 1127?
7, 23
What are the prime factors of 61499?
89, 691
List the prime factors of 37892.
2, 9473
List the prime factors of 1694.
2, 7, 11
What are the prime factors of 26806?
2, 13, 1031
What are the prime factors of 1405?
5, 281
List the prime factors of 7149.
3, 2383
What are the prime factors of 1257?
3, 419
What are the prime factors of 3023?
3023
List the prime factors of 6377.
7, 911
List the prime factors of 36810.
2, 3, 5, 409
What are the prime factors of 110?
2, 5, 11
List the prime factors of 129670.
2, 5, 12967
List the prime factors of 2122.
2, 1061
What are the prime factors of 978?
2, 3, 163
What are the prime factors of 127911?
3, 7, 6091
What are the prime factors of 4727?
29, 163
List the prime factors of 61051.
61051
List the prime factors of 854.
2, 7, 61
List the prime factors of 11062.
2, 5531
List the prime factors of 9194.
2, 4597
List the prime factors of 23101.
13, 1777
What are the prime factors of 664?
2, 83
List the prime factors of 668.
2, 167
List the prime factors of 76814.
2, 193, 199
List the prime factors of 69524.
2, 7, 13, 191
List the prime factors of 76.
2, 19
What are the prime factors of 829?
829
List the prime factors of 969.
3, 17, 19
List the prime factors of 1872.
2, 3, 13
What are the prime factors of 2504?
2, 313
List the prime factors of 25380.
2, 3, 5, 47
What are the prime factors of 23665?
5, 4733
List the prime factors of 3253.
3253
List the prime factors of 5018.
2, 13, 193
List the prime factors of 905.
5, 181
What are the prime factors of 31885?
5, 7, 911
List the prime factors of 2903.
2903
List the prime factors of 152327.
7, 47, 463
List the prime factors of 28935.
3, 5, 643
List the prime factors of 164.
2, 41
What are the prime factors of 6418?
2, 3209
List the prime factors of 159173.
7, 22739
List the prime factors of 22869.
3, 7, 11
What are the prime factors of 9528?
2, 3, 397
List the prime factors of 631.
631
What are the prime factors of 2402?
2, 1201
What are the prime factors of 11873?
31, 383
What are the prime factors of 270?
2, 3, 5
List the prime factors of 18746.
2, 7, 13, 103
List the prime factors of 3130.
2, 5, 313
List the prime factors of 35756.
2, 7, 1277
What are the prime factors of 152857?
152857
List the prime factors of 198.
2, 3, 11
List the prime factors of 53735.
5, 11, 977
What are the prime factors of 34295?
5, 19
List the prime factors of 1498.
2, 7, 107
List the prime factors of 733.
733
List the prime factors of 399.
3, 7, 19
List the prime factors of 71051.
227, 313
List the prime factors of 1216.
2, 19
What are the prime factors of 2676?
2, 3, 223
List the prime factors of 548.
2, 137
List the prime factors of 520.
2, 5, 13
List the prime factors of 3386.
2, 1693
What are the prime factors of 805?
5, 7, 23
What are the prime factors of 38341?
23, 1667
List the prime factors of 1792.
2, 7
What are the prime factors of 6416?
2, 401
List the prime factors of 8265.
3, 5, 19, 29
What are the prime factors of 20009?
11, 17, 107
What are the prime factors of 12775?
5, 7, 73
What are the prime factors of 2026?
2, 1013
List the prime factors of 1809.
3, 67
List the prime factors of 1284.
2, 3, 107
What are the prime factors of 65?
5, 13
List the prime factors of 100.
2, 5
List the prime factors of 2599.
23, 113
List the prime factors of 7.
7
List the prime factors of 350.
2, 5, 7
List the prime factors of 2637.
3, 293
List the prime factors of 4854.
2, 3, 809
List the prime factors of 3918.
2, 3, 653
List the prime factors of 74323.
74323
What are the prime factors of 1164?
2, 3, 97
What are the prime factors of 875?
5, 7
List the prime factors of 823.
823
List the prime factors of 700.
2, 5, 7
List the prime factors of 80623.
37, 2179
What are the prime factors of 9019?
29, 311
List the prime factors of 4159.
4159
List the prime factors of 1486.
2, 743
List the prime factors of 1537.
29, 53
List the prime factors of 20380.
2, 5, 1019
What are the prime factors of 52304?
2, 7, 467
List the prime factors of 4842.
2, 3, 269
List the prime factors of 15507.
3, 1723
List the prime factors of 5219.
17, 307
List the prime factors of 946.
2, 11, 43
What are the prime factors of 1250?
2, 5
List the prime factors of 5867.
5867
List the prime factors of 1158.
2, 3, 193
What are the prime factors of 41021?
17, 19, 127
List the prime factors of 1567.
1567
What are the prime factors of 1866?
2, 3, 311
List the prime factors of 9914.
2, 4957
What are the prime factors of 32580?
2, 3, 5, 181
What are the prime factors of 1271?
31, 41
List the prime factors of 2209.
47
What are the prime factors of 17749?
17749
What are the prime factors of 15?
3, 5
What are the prime factors of 6980?
2, 5, 349
List the prime factors of 11792.
2, 11, 67
What are the prime factors of 2226?
2, 3, 7, 53
What are the prime factors of 106366?
2, 13, 4091
List the prime factors of 23622.
2, 3, 31, 127
List the prime factors of 106891.
139, 769
List the prime factors of 1185.
3, 5, 79
List the prime factors of 753.
3, 251
What are the prime factors of 14724?
2, 3, 409
What are the prime factors of 1674?
2, 3, 31
List the prime factors of 16319.
16319
List the prime factors of 15078.
2, 3, 7, 359
List the prime factors of 24904.
2, 11, 283
List the prime factors of 8327.
11, 757
What are the prime factors of 4082?
2, 13, 157
List the prime factors of 440.
2, 5, 11
List the prime factors of 5430.
2, 3, 5, 181
What are the prime factors of 25745?
5, 19, 271
List the prime factors of 27856.
2, 1741
List the prime factors of 1831.
1831
What are the prime factors of 8618?
2, 31, 139
What are the prime factors of 45103?
23, 37, 53
What are the prime factors of 3304?
2, 7, 59
List the prime factors of 11126.
2, 5563
List the prime factors of 1569.
3, 523
What are the prime factors of 110131?
7, 15733
List the prime factors of 17136.
2, 3, 7, 17
List the prime factors of 14769.
3, 547
What are the prime factors of 792?
2, 3, 11
List the prime factors of 101.
101
What are the prime factors of 12314?
2, 47, 131
List the prime factors of 90.
2, 3, 5
List the prime factors of 9486.
2, 3, 17, 31
What are the prime factors of 16117?
71, 227
What are the prime factors of 1343?
17, 79
List the prime factors of 224.
2, 7
What are the prime factors of 44696?
2, 37, 151
List the prime factors of 39466.
2, 7, 2819
What are the prime factors of 162?
2, 3
What are the prime factors of 8992?
2, 281
What are the prime factors of 27217?
17, 1601
What are the prime factors of 1155?
3, 5, 7, 11
List the prime factors of 278.
2, 139
What are the prime factors of 1446?
2, 3, 241
List the prime factors of 35633.
13, 2741
List the prime factors of 1067.
11, 97
What are the prime factors of 38890?
2, 5, 3889
List the prime factors of 5195.
5, 1039
List the prime factors of 3258.
2, 3, 181
List the prime factors of 1265.
5, 11, 23
What are the prime factors of 40075?
5, 7, 229
What are the prime factors of 1126?
2, 563
List the prime factors of 838.
2, 419
What are the prime factors of 8973?
3, 997
What are the prime factors of 133807?
17, 463
List the prime factors of 33446.
2, 7, 2389
What are the prime factors of 1285?
5, 257
What are the prime factors of 3733?
3733
List the prime factors of 179.
179
What are the prime factors of 1055?
5, 211
List the prime factors of 6437.
41, 157
What are the prime factors of 133?
7, 19
What are the prime factors of 49437?
3, 1831
What are the prime factors of 17765?
5, 11, 17, 19
List the prime factors of 3239.
41, 79
List the prime factors of 124245.
3, 5, 11, 251
What are the prime factors of 549?
3, 61
What are the prime factors of 1534?
2, 13, 59
List the prime factors of 3697.
3697
List the prime factors of 25482.
2, 3, 31, 137
What are the prime factors of 283?
283
List the prime factors of 1886.
2, 23, 41
What are the prime factors of 26243?
7, 23, 163
What are the prime factors of 1773?
3, 197
List the prime factors of 12692.
2, 19, 167
List the prime factors of 11322.
2, 3, 17, 37
List the prime factors of 4758.
2, 3, 13, 61
What are the prime factors of 55655?
5, 11131
What are the prime
|
{
"pile_set_name": "DM Mathematics"
}
|
3, -2/51?
-2/51
What is the biggest value in 1, -0.3, 0.3?
1
Which is the biggest value? (a) 1 (b) -26/5 (c) 2/11 (d) -3/4 (e) 10
e
Which is the third smallest value? (a) 13/6 (b) 26 (c) 2 (d) -4/7
a
What is the second smallest value in 71, -2, 2/27?
2/27
What is the third biggest value in -2/9, 4, 5/4?
-2/9
Which is the third smallest value? (a) 14 (b) -25 (c) -2 (d) 0
d
Which is the fourth biggest value? (a) -2 (b) 0.4 (c) 18 (d) -48
d
What is the smallest value in 2, -4/3, -93?
-93
What is the second biggest value in 2/5, -0.5, -3, -5?
-0.5
Which is the third biggest value? (a) 3 (b) 2 (c) 2/7 (d) 1/4 (e) -0.4
c
What is the biggest value in -5, -3, 2, -2/11?
2
Which is the biggest value? (a) 2 (b) 4 (c) 15 (d) -1
c
What is the third smallest value in -10, 0, 2, -18, 1?
0
What is the third smallest value in 6, 1/30, -5?
6
What is the fourth smallest value in -32, 0.5, -0.02, 4.4?
4.4
What is the third smallest value in -519, -0.1, 5?
5
What is the second smallest value in -2, -0.53, -7?
-2
What is the second smallest value in 9, 5, 3, -9?
3
Which is the biggest value? (a) -1.6 (b) -11 (c) -4
a
What is the smallest value in 2, 0.3, 111/10?
0.3
Which is the fifth smallest value? (a) 4 (b) -1 (c) 7 (d) 1/9 (e) 2
c
Which is the second smallest value? (a) 7/8 (b) -1 (c) -4
b
Which is the second smallest value? (a) 0 (b) -3 (c) -0.1 (d) -61
b
What is the biggest value in -2/11, 2, -2/19, -5?
2
Which is the fourth biggest value? (a) 0.3 (b) -1 (c) -47.1 (d) -0.07
c
What is the smallest value in 2/9, 128, -0.1, -2?
-2
Which is the second biggest value? (a) -2/3 (b) 1/4 (c) 4/33 (d) 0 (e) -3
c
Which is the biggest value? (a) 0 (b) -5/6 (c) 10
c
What is the second biggest value in -0.43, 0, 1/2?
0
Which is the fifth biggest value? (a) 1/3 (b) -1/16 (c) -2/35 (d) 2/7 (e) 0.5
b
What is the third biggest value in 0.46, -0.51, 5/6?
-0.51
What is the third smallest value in -2, -0.6, 0.4?
0.4
Which is the second smallest value? (a) 77 (b) -0.1 (c) 5
c
What is the third biggest value in -0.4, 3, -0.02233?
-0.4
Which is the third biggest value? (a) -333 (b) 1 (c) -0.4
a
What is the fourth smallest value in 0, -0.5, 1, -5?
1
Which is the smallest value? (a) -3/2 (b) 3.8 (c) -5
c
Which is the smallest value? (a) -4 (b) 20.9 (c) -3 (d) 2/11
a
What is the third smallest value in 0.12, 1, -5, 86?
1
What is the second biggest value in -0.2, -2, -0.4, 21?
-0.2
What is the fourth smallest value in -8, -0.4, -1, 0.4, 0.1?
0.1
What is the third smallest value in -3/4, 1, 48?
48
Which is the third smallest value? (a) -13 (b) 1/3 (c) -4 (d) -11
c
What is the smallest value in 5, -2.7, -5, 1/2?
-5
Which is the biggest value? (a) -23/6 (b) 0 (c) -5/4
b
Which is the third biggest value? (a) 10 (b) -1 (c) -11 (d) -2
d
Which is the smallest value? (a) -0.1 (b) -5 (c) 2 (d) 4/153
b
Which is the third biggest value? (a) -5 (b) -0.3 (c) -65 (d) 0
a
Which is the fourth biggest value? (a) 1/8 (b) -0.1 (c) -3/4 (d) -0.4 (e) -0.027
d
What is the second smallest value in -11, -3, 89.4?
-3
Which is the smallest value? (a) 78 (b) 0.2 (c) 0.5
b
What is the fourth smallest value in -5, 24, 0, -3/46, 2/5?
2/5
Which is the smallest value? (a) 4/23 (b) -5 (c) 0.3
b
Which is the smallest value? (a) 1 (b) 1/8 (c) 326 (d) -0.3
d
Which is the third biggest value? (a) 1/6 (b) 0 (c) -1/6 (d) -0.02 (e) -0.1
d
Which is the second smallest value? (a) 3 (b) 0.3 (c) 12
a
Which is the third biggest value? (a) -6 (b) 1/3 (c) -3
a
What is the second biggest value in 73, -2/13, -3, 0.4?
0.4
Which is the second biggest value? (a) 0 (b) -338 (c) -24
c
What is the third smallest value in -0.5, -7.1, 16, -1/7?
-1/7
What is the third biggest value in -0.061, -5, 1, -33?
-5
What is the third biggest value in 20, -0.5, 6?
-0.5
Which is the smallest value? (a) 71/6 (b) 1/5 (c) 2 (d) -2
d
What is the third smallest value in -9/7, -0.3, 10?
10
Which is the third smallest value? (a) 0.009 (b) 2/5 (c) 1
c
Which is the fourth smallest value? (a) 0.2 (b) 1/2 (c) 0.13 (d) 0.1
b
Which is the fourth smallest value? (a) -9 (b) 4/7 (c) 0.5 (d) 74
d
What is the fourth smallest value in 3/4, 4, -88, -1/3?
4
Which is the third biggest value? (a) -10/919 (b) 2/7 (c) 0 (d) 1
c
What is the fifth biggest value in -3, 391, -1, -1/3, 3?
-3
What is the biggest value in -3, -1/64, 1/3?
1/3
Which is the second smallest value? (a) -1 (b) -0.1 (c) -5 (d) 1/4 (e) 2
a
Which is the third biggest value? (a) 173 (b) 4 (c) -2
c
What is the third biggest value in 2, 4, -1/253?
-1/253
Which is the third biggest value? (a) 14 (b) 164 (c) 2
c
What is the smallest value in -17, 6, 2/5, 3?
-17
What is the fourth biggest value in 0, 2/9, -178, 2?
-178
What is the second biggest value in 2/9, -4, 0.5, -2/9, -2/11?
2/9
What is the third biggest value in -0.04, -11, 10?
-11
Which is the second smallest value? (a) 0.2 (b) -2/3 (c) 2/15 (d) 62
c
Which is the third biggest value? (a) -34.8 (b) -4 (c) -0.1
a
What is the third smallest value in -2/11, 5, -5, 2?
2
What is the second smallest value in 5/4, 15/4, 13?
15/4
Which is the third smallest value? (a) 4 (b) 2/9 (c) -10
a
Which is the smallest value? (a) 8 (b) 5 (c) -2/17 (d) 3/35
c
What is the second biggest value in -4, 6/23, -0.4?
-0.4
What is the biggest value in -1.58, 1/6, 0?
1/6
What is the biggest value in 13/4, 3, -2?
13/4
What is the biggest value in 0.01, -1/3, 32/5?
32/5
Which is the biggest value? (a) -56 (b) 2 (c) 1 (d) 0.1
b
Which is the fifth biggest value? (a) -0.3 (b) 0.5 (c) -4/7 (d) 20.9 (e) 1/4
c
What is the second smallest value in 4/5, -3, 5, -92, -2?
-3
What is the second biggest value in -6/17, 0.16, -2?
-6/17
Which is the second biggest value? (a) 0.8 (b) 1 (c) 5 (d) 38
c
What is the biggest value in -2, -3, 2.7, -5, 0.1?
2.7
Which is the biggest value? (a) -1 (b) -3/2 (c) -2 (d) 3/5
d
What is the biggest value in 61, 0, -2/7?
61
What is the third biggest value in -3/11, -0.13, -1, -0.5, 1?
-3/11
Which is the smallest value? (a) 5 (b) 2/55 (c) 3 (d) -3
d
Which is the second biggest value? (a) -2/17 (b) -4/3 (c) 0.2 (d) -136
a
Which is the fourth biggest value? (a) 5 (b) -1 (c) -0.3 (d) -2
d
Which is the second biggest value? (a) -4 (b) 1 (c) 0.597
c
Which is the biggest value? (a) -1/2636 (b) 0.5 (c) 5
c
Which is the second biggest value? (a) 45 (b) -3 (c) -1/6
c
Which is the fourth biggest value? (a) 0.6 (b) -1 (c) 4.1 (d) -2/5
b
Which is the smallest value? (a) -0.4 (b) 0.4 (c) 0 (d) -5
d
What is the biggest value in -5/2, -8, -178, -1/4?
-1/4
What is the fourth smallest value in 0.28, -1, -3, 0.5?
0.5
What is the smallest value in -3, -30, -32?
-32
Which is the third biggest value? (a) 3 (b) 0.4 (c) 0.1 (d) -26
c
What is the biggest value in -3, 3, 0.36?
3
Which is the fourth smallest value? (a) -2 (b) 41 (c) 3/5 (d) 29
b
What is the third smallest value in 3, -48, -4?
3
Which is the smallest value? (a) 3 (b) -0.149 (c) -0.3
c
What is the third smallest value in 2, 49, 1/11, 1/4?
2
Which is the second biggest value? (a) -21 (b) 0.19 (c) 5 (d) 4/5
d
What is the third biggest value in -4, -1, 153?
-4
Which is the biggest value? (a) 5 (b) -344 (c) 0.11
a
Which is the smallest value? (a) 0.05 (b) -0.042 (c) -13
c
What is the second biggest value in 4, -1, 1, 0.05?
1
What is the third smallest value in 1, -1.484, 2/3?
1
Which is the third biggest value? (a) 2/509 (b) 0.3 (c) 2/7
a
Which is the fourth biggest value? (a) 1 (b) 0.09 (c) 4/7 (d) 1/2 (e) 0.2
e
Which is the second smallest value? (a) 38.4 (b) 3 (c) -0.2
b
What is the fourth biggest value in -5/4, 0.5, 2/13, 1/7?
-5/4
What is the second smallest value in 0.3, -1/3, -3/35?
-3/35
Which is the fourth biggest value? (a) 1/2 (b) -11 (c) -3/4 (d) 0.1
b
What is the fourth smallest value in -0.4, -2.99, -2, -5?
-0.4
What is the second biggest value in -0.2, -4, -6.28?
-4
What is the biggest value in -1, 2/3, 19, 2?
19
What is the second smallest value in 0.04, -4, -9.2?
-4
What is the smallest value in -1/5, -1/2, 2/9?
-1/2
What is the third smallest value in 0.3, -0.2, -0.3, 1/4,
|
{
"pile_set_name": "DM Mathematics"
}
|
Let z(u) = u**2 - 9*u - 1. Suppose 2*k = 5*w, -31 = -6*k + k - 3*w. Suppose -k*q - 425 = -5*s, -202 = -2*s - 5*q + 3. Suppose s*i - 93*i + 24 = 0. Give z(i).
-9
Let z be (0 + 4/(-5))/((-154)/385). Let n(l) = -9 + 6*l - 15*l + z*l**2 + 8*l - l**2. Give n(4).
3
Let a(d) = -12 + 363*d**3 + d - 362*d**3 - 11*d**2 + 15*d. Calculate a(10).
48
Let q(n) = 2*n - 18. Let f = -1264 - -455. Let u = f + 815. Give q(u).
-6
Let u(i) be the first derivative of -1/60*i**5 + 14 - 4*i**2 - 1/8*i**4 + 0*i + 2/3*i**3. Let l(n) be the second derivative of u(n). Calculate l(-5).
-6
Suppose -881 = 141*r - 599. Let s(m) = -8*m + 4. Determine s(r).
20
Let n(r) = r**3 + 32*r**2 - r - 13. Let t be (-612)/44 - -14 - (-1059)/(-33). Give n(t).
19
Let k(t) = -t**3 - 12*t**2 + 15*t + 19. Suppose 0*x - 7*x + 21 = 0. Let r be 94/(-7) - (-11)/77*x. Calculate k(r).
-7
Let t(o) = -72*o + 435. Let l(z) = 4*z**2 + 255*z - 1150. Let i be l(-68). Give t(i).
3
Let x = -5 + 9. Let s(l) = l. Let q(m) = -m**2 - 6*m + 6. Let h(j) = q(j) - s(j). Let k(c) = c**2 + 2*c - 1. Let b(v) = h(v) + 2*k(v). What is b(x)?
8
Let f(b) be the second derivative of b**3/6 + 2*b**2 + 40*b. Let a = 7 - 1. Let q be 56/21*a/(-4). Give f(q).
0
Let f(s) = -27*s**3 - s**2 + s. Suppose -3*u - 3*n + 3 = 0, 4*n - 35 = -3*u - 34. Suppose 0 = 5*m + c - 5*c + 3, -c - u = -5*m. What is f(m)?
-27
Let x(l) = -6*l - 42. Let f be x(-7). Suppose 5*y - 5*v = f, 3*v + 1 = y - 5. Let j(m) be the third derivative of 7*m**4/24 - m**3/6 + 2*m**2. Calculate j(y).
-22
Let w(g) = -2*g**2 - 22*g - 9. Let i(c) = 2*c**2 + 42*c - 548. Let x be i(9). Determine w(x).
39
Let o(w) = 13*w**2 + 4*w - 28. Let p be o(4). Suppose 11*h + 3*h + p = 0. Let q(v) = v**2 + 13*v - 19. Calculate q(h).
-5
Let k(t) = -11*t - 1. Suppose -3*x - 357 = 795. Let z = x - -224. Let d be (-1 - (-8)/(-10)) + (-128)/z. What is k(d)?
10
Let d(v) be the second derivative of v**5/40 - v**4/8 + 35*v**3/3 + 40*v. Let q(p) be the second derivative of d(p). Calculate q(-3).
-12
Let l(v) be the third derivative of 56*v**2 + 2*v**3 + 0*v - 1/24*v**4 + 0. What is l(0)?
12
Let k(s) be the first derivative of s**2 + 12*s - 1797. What is k(-12)?
-12
Let o be (30/(-12))/((-2)/4). Suppose -y - 4*k + 3*k = -1, 11 = o*y - k. Suppose -5*x - y*x - x = 0. Let v(u) = -u**2 - 9. What is v(x)?
-9
Let t = 13 + -10. Let o be t + 2 + 1533 - 1. Let k(v) = 3*v**2 + 1537 - o + 3*v. Calculate k(-2).
6
Let l(c) = 0 + 4*c + 92*c**2 - 193*c**2 - 6*c**3 + 1 + 99*c**2. Calculate l(2).
-47
Let i(t) = 7*t**2 + 7*t - 4. Suppose -16 = 100*h - 98*h. Let p(z) = 19*z**2 + 21*z - 11. Let k(w) = h*i(w) + 3*p(w). Give k(-6).
-7
Suppose -j + 4*j = 2*r - 81, 5*j - r = -135. Let i(t) = -t**3 - 25*t**2 + 53*t - 17. Let b be i(j). Let z(v) = v**3 - 9*v**2 - 11*v + 14. What is z(b)?
4
Let a(p) = -p - 14. Let x = -129 - -139. Suppose -x + 4 = 3*g, 2*g = 3*o + 44. Calculate a(o).
2
Suppose -5*i - 1 = 3*l - 3, -2*i = l - 2. Let n(d) = -126*d - 8. Let c(g) = 632*g + 47. Let h(j) = c(j) + 5*n(j). Calculate h(l).
-5
Let l(n) = -25 + 15*n + n - 12 - 62 - 9*n. What is l(14)?
-1
Let g(f) = -f**3 + 5*f**2 - f - 9. Let q be g(4). Let j(n) = 5*n**3 - n**3 - 9*n**2 + q - 11*n + 6 - 3*n**3. Let i = -30 + 40. Determine j(i).
-1
Let i(f) = -2*f**2 + 36*f + 9. Suppose -5*x = -40, 346*a - 347*a - 22 = -5*x. Calculate i(a).
9
Let w(m) = -m**3 + 13*m**2 - 12*m + 10. Suppose -62 = -5*g - 50*k + 52*k, -3*g - k + 35 = 0. Determine w(g).
10
Let p(r) = r**2 + r + 4. Let n be p(3). Suppose 4*k + 0*k - 46 = 2*a, 5*a = k - n. Let y(u) = 11 + u - 26 + k. Determine y(5).
1
Let p(u) = 7*u + 7. Let m(b) = -8*b - 8. Let z(i) = 5*m(i) + 6*p(i). Let h = 93 - 93. Suppose r - 5*w - 12 = h, 0*r - 2*r + 5*w + 14 = 0. Determine z(r).
6
Suppose -2*o - 6 = -2*j, 5*j + 8 = 3*o + 21. Let v(w) = -5*w**2 - w - 2. Give v(o).
-6
Suppose -60*q + 1320 = -50*q. Let p = q - 138. Let z(o) = 2*o + 12. What is z(p)?
0
Let z(r) = r**2 + 4*r - 7. Let b(v) = -v**2 - 12*v + 488. Let l be b(-29). What is z(l)?
-2
Let m(x) = -7*x**3 - 4*x + 38. Let c(f) = f**3 + f - 9. Let v(t) = -6*c(t) - m(t). What is v(0)?
16
Let z(y) = -y**3 + 2*y. Let f be z(0). Suppose c + v - 21 = 0, 4*v = c - f*c - 6. Suppose -6 = -3*k + c. Let h(p) = -p**3 + 9*p**2 - 8*p - 7. Give h(k).
-7
Let u(p) = -p**2 + 141*p - 933. Let m be u(7). Let l(s) = -2*s**3 + 10*s**2 + 3*s + 11. Calculate l(m).
26
Let k be (-2)/14 - 1*843/(-21). Suppose 49 = -3*l + k. Let m(w) = -w + 5*w + 3*w**2 - w + 2 + 0*w**2. Calculate m(l).
20
Let a(z) = z**2 - 1. Let y(p) = -3*p**2 - p + 1. Let t(g) = -4*a(g) - y(g). Suppose 16 + 8 = 4*v. Let l = v + -9. Calculate t(l).
-9
Let v(h) = -h**2 + 18*h - 1. Let r be v(18). Let j(o) = -o**2 - 1. Let u be j(1). Let a = u + r. Let i(l) = 2*l**2 + l - 3. What is i(a)?
12
Let r(v) = -v**2 + 8*v. Let j(w) = -4*w - 4. Let p be j(-3). Let f be r(p). Let s(c) = 2683 + 2*c - 3*c + 0*c - 5361 + 2677. Calculate s(f).
-1
Let i(j) = -j**2 - 9*j + 27. Let b be i(-12). Let o(g) = 4*g**3 + 9*g**2 - 6*g + 5. Let u(r) = r**3 - 2*r - 2. Let k(v) = o(v) - 3*u(v). What is k(b)?
11
Let w(o) = -o + 1. Let c(r) be the first derivative of -r**2 + 2*r + 3. Let u(h) = c(h) - w(h). Let v = 383 - 384. Calculate u(v).
2
Let p(b) be the third derivative of -b**5/20 - b**4/6 - 2*b**3/3 - b**2. Let j = -181 + 192. Suppose 0*a = -3*a - 4*y + j, 0 = -2*y + 10. What is p(a)?
-19
Let n(t) = t**3 - 6*t**2 - 6*t + 6. Let g be ((-2)/((-8)/2))/((-1)/18). Let u be 2/g + 2990/414. Calculate n(u).
13
Let q(d) = -d**3 - 4*d**2 + 10*d - 2. Let x be 0/(4 - -1) - (9 - 3). What is q(x)?
10
Let v(d) be the third derivative of 0 + 4*d**2 - 1/6*d**4 + 0*d + 1/6*d**3. Let g = 0 + 4. Determine v(g).
-15
Let b(y) = -y + 97813 - 97815 - y. Suppose -j - 4 = j. Calculate b(j).
2
Let w(c) = -5 - 11*c + 14*c - 4*c. Suppose -s - 60 = -59. Determine w(s).
-4
Let c(n) = 15*n + 138. Let x be c(-9). Suppose -1508*t = -1509*t + x. Let h(s) = -4*s**2 + s + 3. What is h(t)?
-30
Let q(u) = 20*u**3 + u + 1. Let f(l) = -l**3 + 7*l**2 - 4*l - 4. Let w be f(6). Suppose -6 = -2*s + w*s. Let i be (-21)/(-27) + s - 14/18. Determine q(i).
-20
Let s(g) be the first derivative of -2*g**2 - g + 3. Let t be ((-2)/(-1))/(2/35*5). Suppose 4*u - t = 9. What is s(u)?
-17
Suppose 4*w + 5*y + 13 = 0, 0 = -0*w - 2*w + 5*y - 29. Let b = w + 14. Let p(d) = 2*d - 14. Calculate p(b).
0
Suppose -5*q + 55 = -3*s, -39 = 2*q - 5*q + 3*s. Let t = 9 + -14. Let y(c) = -10*c + 8. Let l(b) = -7*b + 5. Let k(f) = t*y(f) + 7*l(f). Calculate k(q).
3
Let f(l) be the first derivative of l**3/3 - l**2/2 + 6*l - 1096. What is f(9)?
78
Let j(h) = -7*h**3 - 25*h**2 - 33*h - 28. Let i(g) = -9*g**3 - 25*g**2 - 35*g - 28. Let x(n) = 4*i(n) - 5*j(n). Calculate x(26).
2
Let x(v) = 2*v + 17. Let k = -280 + 374. Suppose 2*o = -k + 80. Calculate x(o).
3
Let c be 63/(-14)*(2 + (0 - 0)). Let q be 2/(6/c) + (-2 - -1). Let a(u) = u**2 - 5 - u**2 + 5*u + u**2 + 3. What is a(q)?
-6
Let i(h) be the third derivative of 13*h**4/8 - 127*h**3/2 - 5729*h**2. Calculate i(10).
9
Let t(z) = -z**2 + 2. Let x(f) be the second derivative of f**4/6 + f**3/6 - f**2/2 - 44*f. Let n(w) = 3*t(w) + 2*x(w). Let p = 3 - 6. Give n(p).
7
Let t(s) = -289*s - 880. Let k be t(-3). Let d(w) = 2*w**2 + 31*w + 31. Give d(k).
-34
Let q(c) be the third derivative of c**6/120 + 2*c**5/15 - 5*c**4/24 + 2*c**3 + 142*c**2 - 4. Calculate q(-9).
-24
Let z(o) = o**3 - 4*o**2 - 3*o - 7. Let i be -3 + 6 + 0/5. Suppose -g - 5*x = -i*x, 5*g - 11 = x. Suppose 3*u - g*u = -3*n + 17, 0 = -5*n - u + 27. Give z(n).
3
Let a be 280/(-44) + (-6)/33 - 12/(-22). Let o(u) = -3*u**2 - 16*u + 9. Calculate o(a).
-3
Let i(x) = 25*x**3 + 17*x**2 - 13*x - 13. Let r(v) = -21*v**3 - 17*v**2 + 14*v + 14. Let k(c) = 5*i(c) + 6*r(c). Give k(-18).
1
Let j(r) be the third derivative of 0 + 1/15*r**5 - 1/120*r**6 - 53*r**2 + 0*r - 1/8*r**4 + 1/2*r**3. What is j(3)?
3
Let i(n) = n**3 - 5*n**2 + 3*n + 3. Suppose -4*y = 4*k - 24, 4*k = 5*y + 20 + 13. Suppose 5*q = 6*q + 4*a + k, 2*q = -3*a + 1. Determine i(q).
18
Let k(i) be the first derivative of i**4/4 + i**3 - 2*i**2 - i + 114. Let p be 1/4 - (-63)/(-12). Let a = p + 2. What is k(a)?
11
Suppose -3*h + 16*i = 18*i - 8, 5*i + 3 = 4*h. Let j(d) be the first derivative of 1/4*d**4 + 15 + 1/2*d**h + d - d**3. Give j(2).
|
{
"pile_set_name": "DM Mathematics"
}
|
2
Let t be (231/22)/(-7)*4/6. Let r(u) = 12*u + 17. Let z be r(t). Solve 4*i + 1 - z = 0 for i.
1
Let c be (6 - 4 - -5)/(-1). Let d(s) = s**3 + 9*s**2 + 15*s + 8. Let l be d(c). Solve n = -l - 3 for n.
-4
Suppose -3*i - l + 55 = -4*i, 3*l = -2*i - 105. Let j = i - -61. Solve 4*u - j = -3 for u.
1
Suppose 2*b + 5*r - 257 + 121 = 0, -r = b - 62. Suppose 0 = -67*d + b*d + 72. Solve -9*m + m - d = 0 for m.
-1
Suppose 2*p - 36 = 14. Suppose m + 164 = -3*r + 6*r, 3*r = -4*m - 626. Let g = m - -162. Solve 0 = -c - g*c + p for c.
5
Let w = -23043 + 23064. Solve -84 = 21*g + w*g for g.
-2
Let m be ((-8)/(-6))/((-4)/(-6)). Let i be (777 - 762) + 22/(-2). Solve -i = m*g - 14 for g.
5
Let a = 199 - 197. Suppose 7 = p - m + a*m, 5*p - 21 = 2*m. Solve 5*n + 0 = -p for n.
-1
Suppose 5*i - 3*i + 10 = 0, -5*i - 25 = -4*z. Suppose -3*w + 3*c - 2*c = -16, 0 = w + 2*c - 10. Let s be 3 + ((-7 - -6)*-3 - 3). Solve z = -n - s + w for n.
3
Let n be (1519/(-434))/(35/(-10)). Let x be (1*0/(-1))/(-2). Solve x = 2*m - 3 + n for m.
1
Let u(w) = -w**2 + 9*w + 4. Let r be u(9). Let o be (-4)/r*(0 + -18). Solve -6*l - 6 - o = 0 for l.
-4
Let d = 6094 - 2142. Let p be (-5)/(-3) - 1 - d/(-39). Let t = -90 + p. Solve -3*l - l = -t for l.
3
Let l be 2/3 - (-234)/54. Suppose -3*a + p + 1 = -0*p, -l*a - 2*p - 2 = 0. Suppose 4*q - 3*n - 8 = a, -3*q + 2*n + 6 = 3*n. Solve 3*z + q*z = -15 for z.
-3
Let v be (-3 - 1)*48/32. Let i be -11*(4/8)/(v/12). Solve -16*b + i*b - 5 = 0 for b.
-1
Suppose 4*w - 179 = i, 0 = -5*w - 3*i + 7*i + 210. Let y be -12 + 9 - w/(-2). Suppose -4*j = j - y. Solve 5*o - o + j = 0 for o.
-1
Let s be 10*(-6)/(-40)*4. Let z(k) = 21 + 7 - s + k. Let p be z(-19). Solve -u - p*u = 12 for u.
-3
Suppose 7*w - 14 = 42. Suppose 24 = -v + 31. Suppose 3*y = v*y - 16. Solve -2*u + w = -y*u for u.
-4
Suppose 0 = 26*d - 8*d - 587 - 205. Solve 56*v - 24 = d*v for v.
2
Let x(c) = -c**3 - 28*c**2 - 2*c - 54. Let m be x(-28). Suppose g - 94 = -5*y + m*y, 3*y + 258 = 3*g. Let f = -84 + g. Solve d + 1 = f for d.
3
Suppose -37*r - 148*r = -49765. Solve -285*o = -r*o + 16 for o.
-1
Let u(n) = -n**3 - 7*n**2 - 6*n. Let y be u(-6). Suppose -5*i = 3*t + 2*t - 30, t = 3*i - 18. Let a be (4/((-16)/i))/(-3)*0. Solve 3*z + y*z = a for z.
0
Suppose -18*x + 22*x = 1284. Suppose x = -6*y - 39. Let g be 1/((-6)/y) + -5. Solve -3*h - 4 = g for h.
-3
Let m(b) = b**3 - 8*b**2 + 7*b - 7. Let u be m(6). Let h = 49 + u. Solve 13 = -5*i - h for i.
-5
Let u = 141 - 147. Let k(w) = -w**2 - 6*w + 4. Let m be k(u). Solve 5 = -m*p - 15 for p.
-5
Suppose d - 7*b - 13 = -3*b, -5*b - 14 = d. Let x(q) = -q**2 - q + 3. Let i be x(d). Suppose -4*u = -4*f - 40, 5*f + 31 - i = u. Solve 2*p = u*p + 9 for p.
-3
Let i(x) = -x**3 - 6*x**2 + 17*x - 72. Let d be i(-9). Solve 0 + d = -9*s for s.
-2
Let g = 254 + -93. Let z = g - 158. Solve z*d - 16 = -d for d.
4
Let i = 15561 + -15551. Solve 12 + i = -22*h for h.
-1
Let t be (22220/(-6060))/(((-2)/(-6))/(-1)). Solve -7*y = -38 - t for y.
7
Suppose -57 = -29*n + 10*n. Solve -7*y - n*y = y for y.
0
Suppose -235*d - 49*d = 17*d - 1505. Let g = 5 + -6. Let z = 1 + g. Solve z = d*p - 9*p + 16 for p.
4
Let s(z) = -z**3 + 20*z**2 - 34*z - 29. Let x be s(18). Let f be (x/(-3))/(2/(-6)). Solve -f*n + 5*n = -2 for n.
1
Let i(r) = -r**3 - 14*r**2 + 7*r - 61. Let j be i(-15). Solve j*a - 66*a = 35 for a.
-5
Suppose 0*c = 96*c + 63*c - 2544. Solve 0 = 51*l + c*l + 134 for l.
-2
Let h(r) = -9*r**2 - 92*r - 224. Let v be h(-4). Let j(p) = -25*p. Let f be j(-1). Solve 5*q = -v*q + f for q.
5
Let n(x) = x**2 - 40*x + 266. Let s be n(34). Solve s*l = 59*l - 15 for l.
-5
Let i = 9 - 6. Let z = -1433 + 1449. Suppose 0 = -5*a + i*f - 2*f + 76, 0 = 4*f - z. Solve -4*c = -4 + a for c.
-3
Let c = 50 - 7. Suppose -c = 5*h - 63. Solve -h*n - 8 = -6*n for n.
4
Suppose -5*n - 270 = -23*n. Solve -13*u + 10*u + n = 0 for u.
5
Let t = -4953 + 4969. Solve 16*u + 0 = -t for u.
-1
Let h(n) = -4*n - 26. Let l be h(-6). Let d be -34 + (l - (-1 + -1)). Let v = -31 - d. Solve s - 8 = -v*s for s.
2
Suppose -37 = -6*f - 7. Let j be (-7)/(294/(-108)) - (-12)/(-21). Solve -f*q + 4*q = -j for q.
2
Let b be (-1*3)/(46/(-10) + 4). Let w = 173 - 164. Solve -w = -b*u - 24 for u.
-3
Let l = -170 + 176. Suppose -8 = 2*i, -2*q - 3*q = 4*i + l. Solve q*f = 6*f for f.
0
Suppose 3*n - x = -24, 0*n - 8 = n - 2*x. Let t = -4 - n. Suppose 111*q + 579 = 579. Solve 4*v - 3*v + t = q for v.
-4
Let d be -15*(0 - 3/9). Let f be 1 - (-2)/(-3) - 11/(-3). Suppose -f*c = -30 + 6. Solve o = c*o + d for o.
-1
Suppose 12 = 2*c - 4. Let g = 346 - 1461. Let u = -1109 - g. Solve -2*x = -u*x - c for x.
-2
Let j be -5 - -4 - (-3)/(6/22). Suppose -2*w + 21 = 5*r, 0 = -3*w + 8*w + 4*r - 27. Suppose -p = -a, -p = w*p. Solve a = 3*u + 2 + j for u.
-4
Let p be (1*0/(-2) + -3)/(-1). Suppose 0 = -85*c - 24*c + 1308. Solve p*l + l = -c for l.
-3
Suppose -162*x + 7516 = -22778. Solve -5*p + 167 = x for p.
-4
Suppose -62*n = 494*n - 1112. Let a(m) = -2*m - 2. Let h be a(-2). Solve -h*u - 12 = -n for u.
-5
Suppose 19 - 21 = -2*c. Let t be -5 - ((-264)/22 - c*-2). Solve -3*u - 2 + t = 0 for u.
1
Let q(v) = v**3 + 2*v**2 - 9*v + 14. Let g be q(2). Suppose 0 = 2*k - s - 5, 0 = -g*k + 15*k - s - 9. Solve -k + 3 = -t for t.
1
Let l = -2 + 18. Suppose 21*z - l = 22*z. Let m = -14 - z. Solve 0 = m*f + f + 9 for f.
-3
Let o(q) = 439*q - 4825. Let k be o(11). Solve z - 25 = -k*z for z.
5
Suppose 941 = 119*o - 37853. Solve -o*p + 316*p = 0 for p.
0
Let b(l) = -l**3 + 21*l**2 + 8*l - 7. Let v be b(21). Suppose 151*h - 144*h = v. Solve -3*x = 11 - h for x.
4
Suppose -7 - 35 = -3*l. Suppose -161 - 49 = -l*m. Suppose -w - 3*w + v = -27, 4*w + 4*v = 32. Solve -10*a + w*a + m = 0 for a.
5
Let y be (-286)/26 + (-77)/28*-4. Solve y = -6*l + 2 - 26 for l.
-4
Suppose 2*z = 3*t - 6, 0 = 3*t - 5*z - 5 - 1. Suppose t*a = -8*h + 3*h + 27, 3*a - 2*h - 69 = 0. Let s = -18 + a. Solve s*w - w + 10 = 0 for w.
-5
Let g(z) = 4*z**2 - 198*z - 246. Let k be g(52). Solve -298 = -6*f - k for f.
4
Let d(s) = -21*s**2 - 191*s - 176. Let v be d(-8). Let r be 84/(-24)*12/(-7). Solve -v*l + 8 = -r*l for l.
4
Suppose 10*s + 4*s = s + 221. Solve -34*l - 153 = -s for l.
-4
Suppose -16*w = -22*w + 30. Suppose -4*i + 6 = 2*l - 6, -w*i + 2*l - 3 = 0. Let f = -7 + 9. Solve 0 = f*z - i - 3 for z.
2
Let p be -1*(-4 + 909) - 1*-1. Let d = p + 910. Solve r + d = -r for r.
-3
Let r(h) = -h - 1. Suppose -n + 13 = 4*l + 4, -2*n = -2. Let w = 1 - l. Let t be r(w). Solve 5*i + 2 + 13 = t for i.
-3
Let x(s) = s**3 - 37*s**2 + 203*s + 73. Let k be x(7). Solve 59*a - k = 153 for a.
3
Suppose -7*w - 2*a = -220 - 51, 5*a - 104 = -2*w. Solve 17*r = w*r - 180 for r.
9
Suppose -4*t + 18 = 2*t. Let w(x) = x**2 - x - x**t - 20 + 0*x + 15 + 8. Let a be w(0). Solve 10 = a*r - r for r.
5
Suppose -184*c - 289*c = 0. Let h(u) = -u**2 + 2*u. Let y be h(2). Solve c*s + s - 1 = y for s.
1
Let c(x) = -x**2 - 60*x - 756. Let b be c(-42). Solve -w + 262 - 261 = b for w.
1
Suppose -20*z + 111493 = 110593. Solve -z*h = -34*h - 44 for h.
4
Suppose -84 = 149*u - 150*u - 5*r, 2*r = -3*u + 174. Solve -3*d = 51*d + u for d.
-1
Let p = 1734 - 1714. Solve -74 = 9*k - p for k.
-6
Let n be 0 - 25/(-9) - 80/(-360). Suppose -n*c + 8 - 40 = -2*p, -2*p + c + 28 = 0. Solve -17*o + p*o = -8 for o.
2
Suppose -2*y = m - 5*y + 7, 4*m + 5*y - 23 = 0. Let a be 3/(-6)*-10 - m. Solve -2*b - a*b + 20 = 0 for b.
4
Suppose 0 = -5*l + 5*s + 15, -2*l = 4*s + 76 - 64. Solve l = -15*x + 166 - 226 for x.
-4
Let u(p) = p - 7. Let b be u(10). Suppose -t = -t + t. Suppose -3 = -s - 0. Solve t*y = -s*y + b for y.
1
Let b be ((340/(-10))/34)/((-2)/10). Suppose 5 = 3*p - 5*y - 25, 0 = -3*p - 5*y. Let j be (-2 + -1)/(-6 + p). Solve -j*r = 2*r + b for r.
-1
Let z(l) = l**2 + 6*l + 6. Let j be z(-4). Suppose 2*s - 66 = -36. Let v be (-15)/s + (3 - 1) - j. Solve -f + v = 8 for f.
-5
Suppose 2*s + 4*j - 120 = 0, -3*s + 71*j = 74*j - 171. Solve -s = -3*r - 66 for r.
-4
Suppose 332 = 3*o - 17*d + 21*d, -5*o + 5*d + 530 = 0. Solve -o = -7*m - 66 for m.
6
Let u(k) = 3*k**3 - 7*k**2 + 7*k + 1. Let c be u(1). Let q be (-28)/(-21) + c/(-3). Solve 2*w - 3*w = q for w.
0
Let b(d) be the second derivative of -d**5/20 + d**3/6 + 2*d**2 - d. Let z be b(0). Suppose 3*j = 2*c
|
{
"pile_set_name": "DM Mathematics"
}
|
Let x = -69 - s. Let m(u) = 7*u**2 - 8*u + 5. Let b(y) = -3*y**2 + y - 1. Let n(f) = 2*b(f) + m(f). Calculate n(x).
3
Let b(d) be the second derivative of -78 + d + 2/3*d**3 + 3/2*d**2. Give b(7).
31
Let g(o) = -1 + 6 - 4. Let k(x) = 2*x**2 - 6*x + 3. Let m(n) = 3*g(n) + k(n). Let u be (-4)/72*-69 + 7/42. What is m(u)?
14
Let k = -1655 + 1658. Let c(x) = 53*x - x**2 + 6 - 17*x - 18*x - 16*x. Calculate c(k).
3
Let y(w) = -7*w**3 + 83*w**2 + 21*w + 10. Let q(z) = -4*z**3 + 51*z**2 + 11*z + 5. Let r(p) = 5*q(p) - 3*y(p). Suppose -14 = c + c. Calculate r(c).
2
Let m(f) = -1 + 6*f**2 + 4 - f**3 + 3 + 5*f. Suppose 3*z + 3*g = 12, -5*z - 2 + 34 = g. Calculate m(z).
-8
Let w be (-16)/48 - (8/3 + -2). Let z(x) = -6 - 18*x + 1 + 6. Give z(w).
19
Let b(c) = c + 1. Suppose 3*f - 2*f + 2*i = 0, 4*i = 4*f - 48. Suppose -f*t = -3*t - 20. What is b(t)?
5
Let o = -59 - -55. Let p be (3/4)/(1*o/(-16)). Let z(m) = -1 + 6 + 4*m**3 - 6 + p*m**3. What is z(1)?
6
Let x be ((-88)/16 + 6)*(1 - 7). Let c be (x + 2)/(3 - (-66)/(-21)). Let l(y) = y + 4. Give l(c).
11
Let d(w) = -3*w**3 - w + 7. Let z(n) = -10*n**3 - 3*n + 22. Suppose 22*x - 9*x = 364. Suppose x*r = 27*r - 2. Let t(i) = r*z(i) + 7*d(i). Calculate t(0).
5
Let l(u) = -u**2 + 10*u - 4. Let i(c) = -c**2 - 19*c + 27. Let o be i(-19). Suppose 2*g = 4*x + 18, 2*x + x - o = -3*g. What is l(g)?
5
Suppose -5*j + 0*j + 1 = x, 0 = 4*x - j - 4. Suppose 2*n + 40 = 4*i, -3*i + 3*n = 2*i - 51. Let v(c) = -5*c - 9*c + i*c. What is v(x)?
-5
Let n(s) be the second derivative of 3*s**5/20 - 2*s**4/3 + 8*s**3/3 - 3*s**2 - 5144*s. Give n(2).
18
Let w(k) be the third derivative of k**6/120 - k**5/6 + 17*k**4/24 - 7*k**3/3 + 71*k**2 - k - 20. Determine w(7).
-42
Suppose 55*w - 16*w - 22*w = -51. Let z(t) = 33*t + 17. Determine z(w).
-82
Suppose -25 = 4*s - 501*n + 502*n, 5*s = 3*n - 27. Let t(c) = -c**2 - 6*c + 9. Give t(s).
9
Let x(w) = -2*w + 1. Let n(i) = i**2 - 12*i - 985. Let a be n(-26). Determine x(a).
-5
Let x(g) = 3*g - 10. Let f = -14 - -24. Let j be (16/(-48))/(5/(-165)). Suppose -3*n + f = -j. Calculate x(n).
11
Let l(u) = 31*u - 37*u - 4*u**2 - u + 5 - u**3 + 2*u**3. Give l(4).
-23
Let h be (-2 - 3)*36/(-180). Let w(z) = -24*z - 1. What is w(h)?
-25
Let n(t) = -t**2 - 5*t + 1. Let u(s) = -s + 24. Let p be u(14). Suppose 4*d = -p*h + 7*h - 18, 18 = -3*h - 5*d. Determine n(h).
-5
Suppose -35*a - 29*a = -197 + 1093. Let z(u) = -u**3 - 15*u**2 - 8*u + 16. Calculate z(a).
-68
Let z = 77 + -77. Let b(d) = 3 + d**2 + z + 321*d + 0 - 325*d. What is b(6)?
15
Let y(g) = -81562*g**2 - 81568*g**2 + 163131*g**2 - 12*g + 22. What is y(8)?
-10
Suppose -40 = -4741*y + 4731*y. Let d(t) = 6*t - 13. Calculate d(y).
11
Let s = -714 - -723. Let w(x) be the first derivative of x**4/4 - 8*x**3/3 - 11*x**2/2 + 4*x - 48. Calculate w(s).
-14
Suppose -31*r + 1340 = -202*r + 3734. Let z(n) = -28*n + 399. Calculate z(r).
7
Let r be (-6 + 177/15 - 6)*-10 - -14. Let m(s) be the first derivative of -r - 1/4*s**4 + 1/2*s**2 - 8/3*s**3 + 9*s. Calculate m(-8).
1
Let q(j) = -39*j - 4333. Let y be q(-111). Let i(p) be the third derivative of -p**6/120 - p**5/20 + p**4/8 + 2*p**3/3 + 2*p**2. What is i(y)?
8
Let m(o) = -2*o**3 - 197764*o**2 + 197807*o**2 - 42*o + 3*o**3 + 77. Determine m(-44).
-11
Let l be (2 - 11/4)/(2/80). Let b = l - -32. Let i(k) = -b*k**2 + 1124 - 1123 - 11*k**2. Give i(1).
-12
Let s = 3 - 2. Suppose 45 = 162*g - 159*g. Let w(o) = 45 - 5*o - g - 30 + 22*o. Determine w(s).
17
Let x(o) = o**3 + o**2 + 2*o - 1. Let l be (-442)/(-2) - (9 - (-14)/(-2)). Suppose l = -5*k + 209. Calculate x(k).
-9
Suppose -17852 = 74*c - 18370. Let k(v) = -2 - 3 - v**2 + 2*v + 4*v. Calculate k(c).
-12
Let d(u) = -2 - 481*u**2 + u + 954*u**2 - 4*u - 474*u**2. Let c(a) = a - 11. Let n be c(9). Determine d(n).
0
Let p(d) = 11*d + 20*d - 30*d + 4 - 5 + 0. Suppose -2*o + 7*o + 20 = -j, -3*o - 4*j - 12 = 0. Determine p(o).
-5
Let y(g) = -6 - 59*g**2 + 2546*g**3 - 7644*g**3 + 9*g + 2550*g**3 + 2542*g**3. Give y(-10).
4
Let h(b) = -b**3 + 5*b**2 - 2*b. Let s(x) = x + 1 - 4*x - 3*x**2 + x**3 - 17*x + 3. Let f be s(7). Suppose 15*v = 3*v + f. Give h(v).
-10
Let o(d) = 2*d + 12. Let v(x) be the first derivative of x**2/2 + 11*x + 13. Let y(b) = 3*o(b) - 4*v(b). Suppose 0 = 31*c - 36*c + 30. What is y(c)?
4
Let o = 19590 - 19580. Let r(g) be the first derivative of -1/2*g**4 + 3/2*g**2 - o - g + 1/3*g**3. Give r(2).
-7
Let u(z) = 2*z**2 - 7*z - 9. Let o be ((-3)/(-18) - ((-25)/30 - -7)) + 12. Determine u(o).
21
Let l(y) = -13. Let z(x) = 4*x - 57. Let s(p) = -6*l(p) + z(p). What is s(-10)?
-19
Let w(a) = -9*a**2 + 40*a - 37. Let x(h) = 4*h**2 - 20*h + 18. Let o(z) = 2*w(z) + 5*x(z). Determine o(8).
-16
Let l(d) = d**3 - 8*d**2 + 3*d - 24. Let v = -13047 - -13055. Determine l(v).
0
Suppose 11*g + o = 15*g + 36, -52 = 4*g - 5*o. Let c(i) = 11*i + 2. Let q(r) = 10*r + 3. Let n(b) = -5*c(b) + 6*q(b). Calculate n(g).
-32
Let u be (32/(-176) + 48/22)/1. Let b(g) = -57*g**3 - 1 + 4*g**2 - 2*g**u + 51*g**3. Determine b(-1).
7
Let x(a) = 2*a**2 - 30*a - 40. Let m be ((-210)/(-150) - (-602)/(-30))*(-18)/21. Determine x(m).
-8
Let d(u) = 35*u - 3159. Let v be d(90). Let h(r) = r**2 + 12*r + 21. Give h(v).
-6
Let h(s) = 3*s - 4. Let l(o) = 4*o + 6. Let v(b) = -4*b - 4. Let n(z) = 5*l(z) + 6*v(z). Let q(p) = -5*h(p) - 4*n(p). Calculate q(6).
2
Let b(o) = 106 + 8*o**2 + o - 7*o**2 - 8*o - 279 - 361. Calculate b(27).
6
Let w(t) = -30*t**2 - 178*t + 23. Let l be w(-6). Let i be (10 - 1) + 0/1. Let g(b) = i + 4 - l + b. Give g(0).
2
Let b(n) be the second derivative of n**4/12 + 3*n**3/2 - 3*n**2 - 7*n. Suppose -135*k - 82 = 8*v - 134*k, v + 8 = k. Calculate b(v).
4
Let i(f) = f**3 - 10*f**2 + f - 10. Suppose y = -19*m + 184, m + 8*y - 3*y + 20 = 0. What is i(m)?
0
Let u(x) = -143*x + 1149. Suppose -29*m - 62*m - 6*m = -776. What is u(m)?
5
Let d(k) be the second derivative of 10*k**3/3 + 361*k**2/2 + 4265*k. Give d(-18).
1
Let w be ((-2)/4)/(2/12). Let a(z) = -479*z - 20 + 957*z - 479*z - 12 + 23. Give a(w).
-6
Let l(d) be the first derivative of -3*d**2/2 + 3*d + 1274. Determine l(-2).
9
Let f be 8/(-14)*(-42)/12. Let s(h) = 4*h**3 + 0*h**2 - 2*h**2 + h**f. What is s(-1)?
-5
Let h(f) = -f**3 + 11*f**2 - 30*f + 2. Suppose 3*x + a + 116 = 121, -5*x + 3*a + 41 = 0. Calculate h(x).
-6
Let z(w) = -3*w + 1. Suppose 10*f - 11*f - 187 = 0. Let g = f - -189. Give z(g).
-5
Let k(l) be the first derivative of l**4/24 - l**3/2 + 261*l**2/2 - 146. Let o(p) be the second derivative of k(p). Calculate o(-16).
-19
Let v be -98*(8 + (-34)/4). Let y = 84 - 31. Let b = v - y. Let o(x) = x**3 + 5*x**2 + 6*x + 3. Give o(b).
-5
Let d(x) = x + 7. Let k be d(-3). Let q(t) = -16*t - 5 + 9*t + 11*t. Calculate q(k).
11
Suppose -l + 25 - 4 = -3*z, -3*l = -4*z - 28. Let q(x) be the second derivative of -x**4/12 - x**3 + 3*x**2 - 61309*x + 2. Determine q(z).
-1
Let d(y) = 12*y**2 + 5*y. Let m(t) = -9*t**2 - 3*t + 2. Let z(l) = 28*l**2 + 9*l - 7. Let x(i) = 14*m(i) + 4*z(i). Let j(p) = 5*d(p) + 4*x(p). What is j(2)?
18
Let f(u) = 241*u + 1459. Let i be f(-6). Let t(k) be the first derivative of 1/2*k**2 + i - 2*k. Determine t(-4).
-6
Let n(d) be the second derivative of d**5/20 + d**4/4 + d**3/3 + d**2/2 - 3*d. Let j be (24/(-32))/((-14)/16 + 1). Let r be j/(-8)*-6*(-6)/(-9). Give n(r).
-5
Let i(t) = -2*t - 35. Let y = -234 + 200. Let p = y - -16. What is i(p)?
1
Suppose 0 = -3*m + 12*m - 54. Let v(i) = -11 + i**3 - 15 + m. Give v(0).
-20
Let k(b) = -15 + 49 - 2*b - 25. Let y = -114 + 118. Give k(y).
1
Let u(t) be the first derivative of -t**3/3 + 8*t - 1553. Give u(0).
8
Let b(z) be the third derivative of -z**5/20 - z**4/12 + z**3/6 + z**2. Suppose 4*q - 36 = 0, -14*s + 5*q = -7*s + 66. Determine b(s).
-20
Let s(b) = -2 + 196117*b**2 + 3*b - 13*b - 196118*b**2. What is s(-11)?
-13
Let u(n) = 1 - 5*n - n**3 + 0*n + 3*n**3 - 2*n**2 + 4*n + 2*n. Give u(1).
2
Let j(r) be the second derivative of -r**4/6 + 13*r**3/6 + 40*r**2 + 79*r. Let b be j(10). Let x(n) = -n**2 + 11*n - 7. What is x(b)?
3
Suppose -t + 3*m + 9 = -0*m, 4*t + m + 29 = 0. Let h(p) = -p**3 - 8*p**2 - 12*p - 5. Give h(t).
-5
Let w(k) be the first derivative of -5*k**2/2 - 68*k + 717. What is w(-15)?
7
Let h(r) be the first derivative of -r**2/2
|
{
"pile_set_name": "DM Mathematics"
}
|
ative of t**6/600 - t**5/150 - t**4/120 + t**3/15 - 3*t**2 + t. Determine b, given that g(b) = 0.
-1, 1, 2
Let y = -46 + 46. Factor 3*s**4 - 100*s**5 + 97*s**5 - 3*s**2 + y*s**4 + 3*s**3.
-3*s**2*(s - 1)**2*(s + 1)
Let i(z) be the second derivative of -z**9/10080 + z**7/336 - z**5/20 - z**4/2 + z. Let l(a) be the third derivative of i(a). Solve l(q) = 0.
-2, -1, 1, 2
Let n be (-3)/(-6)*2 - -2. Solve 30*d**n + 20*d**2 - 7*d**4 - 60*d + 12*d + 8*d + 5*d**5 - 18*d**4 = 0.
-1, 0, 2
Let u(w) = -w**3 + w**2 - w - 2. Let r(q) = 38*q**2 - q - 2. Let z(y) = 5*r(y) - 5*u(y). Determine k so that z(k) = 0.
-37, 0
Let d be (-256)/(-442) + (-44 - 42522/(-969)). Suppose d - 8/13*k + 2/13*k**2 = 0. Calculate k.
1, 3
Suppose -6 + 1 = -g + 3*c, 0 = 3*c + 3. Let t be (2/28)/(-8 - (-776)/96). Solve -2/7*y**3 - 2/7*y**4 + 2/7*y + t*y**g - 4/7 = 0 for y.
-2, -1, 1
Let i = -4 + 8. Suppose -q + i = 5. Let h(f) = f**2 - 1. Let v(z) = -11*z**2 + 6*z + 5. Let k(j) = q*v(j) - 3*h(j). Let k(o) = 0. What is o?
-1/4, 1
Let o(t) be the third derivative of -t**7/315 + t**6/45 - t**5/30 - 133*t**2. Suppose o(w) = 0. Calculate w.
0, 1, 3
Suppose 168 + 248 = 104*f. Solve -2*d**f - 26/9*d**2 + 0 + 4/9*d + 40/9*d**3 = 0.
0, 2/9, 1
Let j(y) = y**2 - 35*y - 1414. Let q be j(-24). Factor 2/11*o**q + 0 - 12/11*o.
2*o*(o - 6)/11
Suppose -84*p + 18 = 3*r - 87*p, 2*r = -5*p - 16. Factor 4/7*z**3 - 4/7 - 2*z**2 + r*z.
2*(z - 2)*(z - 1)*(2*z - 1)/7
Let j = -79/7 + 337/28. Let 9/2*t**3 + 3*t**4 + 3*t**2 + 3/4*t**5 + 0 + j*t = 0. What is t?
-1, 0
Let u(l) be the first derivative of -l**4/28 + l**3/7 + 2*l**2/7 - 12*l/7 - 209. Factor u(q).
-(q - 3)*(q - 2)*(q + 2)/7
Let v be -11 + 134/12 + (-10)/(-312). Let y = v - -2/39. Factor -1/2*a**3 + 1/4*a - 1/4 + 1/2*a**2 + y*a**5 - 1/4*a**4.
(a - 1)**3*(a + 1)**2/4
Determine v so that -6/7*v**2 - 62/7 + 188/7*v = 0.
1/3, 31
Find f, given that -2376/13*f - 54/13*f**3 - 540/13*f**2 - 2/13*f**4 - 3888/13 = 0.
-9, -6
Let s(f) = 16*f + 50. Let i be s(-3). Let d(r) be the third derivative of 1/120*r**4 - 1/15*r**3 + 4*r**i + 0 + 0*r + 1/150*r**5 - 1/600*r**6. Factor d(q).
-(q - 2)*(q - 1)*(q + 1)/5
Let c be (-4)/(441/(-27) + 15). Find b, given that 0*b - 4/7*b**2 + 0 - 4/7*b**4 + 8/7*b**c = 0.
0, 1
Factor -4*p + 40 - 4*p**2 - 6 + 67 - 21.
-4*(p - 4)*(p + 5)
Suppose 79 - 77 = k. Suppose 6*m**2 - 769*m + 2 + 776*m - m**k = 0. What is m?
-1, -2/5
Let o(z) be the third derivative of 2/7*z**3 - 5/84*z**4 + 0 - 1/210*z**5 + 19*z**2 + 0*z. Factor o(t).
-2*(t - 1)*(t + 6)/7
Let z be (369/(-6) + -5)*(-3)/(-7). Let a = z + 30. Determine g, given that 0*g + a - 3/2*g**2 = 0.
-1, 1
Let f = -19444506 + 43847362593/2255. Let s = 7/205 + f. Factor -16/11*l**2 - s*l - 10/11*l**3 - 2/11*l**4 + 0.
-2*l*(l + 1)*(l + 2)**2/11
Let n = 4 + -2. Find z such that n*z**2 + 4*z**2 + 6 + 9*z**2 - 50*z + 9 = 0.
1/3, 3
Let x(v) be the third derivative of 0 + 1/42*v**7 + 0*v**3 + 0*v + 1/15*v**5 - 1/336*v**8 + 11*v**2 + 0*v**4 - 1/15*v**6. Find g, given that x(g) = 0.
0, 1, 2
Let p(g) be the third derivative of 0 + 1/30*g**6 - 22*g**2 + 2/105*g**7 + 0*g + 0*g**3 - 1/15*g**5 + 0*g**4 - 1/84*g**8. Let p(z) = 0. Calculate z.
-1, 0, 1
Let i(j) be the third derivative of j**8/1344 - j**7/210 + j**6/160 + j**5/60 - j**4/24 - j**2 - 123*j. Determine c so that i(c) = 0.
-1, 0, 1, 2
Let p be (-49596)/16524 + 3*1. Let i = p - -5534/17901. Determine g, given that -2/13*g**2 - i*g + 4/13*g**3 + 0 + 2/13*g**4 = 0.
-2, -1, 0, 1
Factor 4 - 10*y**2 - 86/3*y.
-2*(y + 3)*(15*y - 2)/3
Factor 2/5*z**3 + 14/5*z + 2*z**2 + 6/5.
2*(z + 1)**2*(z + 3)/5
Let b(c) be the first derivative of -c**5/30 + 5*c**4/24 + 5*c**3/9 - 5*c**2/3 - 4*c - 438. What is l in b(l) = 0?
-2, -1, 2, 6
Let a(p) be the third derivative of -1/210*p**6 + 0*p**5 + 0 - 20*p**2 + 0*p**4 + 0*p + 0*p**3. Determine w, given that a(w) = 0.
0
Let m(i) be the first derivative of i**4/4 - i**3/6 - 2*i**2 - 5*i/2 + 324. Factor m(z).
(z + 1)**2*(2*z - 5)/2
Let u(h) be the second derivative of h**5/110 + h**4/11 - 3*h**3/11 - 14*h**2/11 - 10*h + 1. Find j such that u(j) = 0.
-7, -1, 2
Let z(a) be the third derivative of a**8/168 - 2*a**7/105 + 16*a**2 + 4*a. Find b, given that z(b) = 0.
0, 2
Factor 10/9 - 22/9*k + 14/9*k**2 - 2/9*k**3.
-2*(k - 5)*(k - 1)**2/9
Suppose 2*i - 3*k + 195 = 0, k - 375 = 3*i - 93. Let b = 286/3 + i. Factor -l**2 - b*l - 2/3.
-(l + 2)*(3*l + 1)/3
Solve -2/7*x**4 - 8/7*x + 0 + 8/7*x**3 + 2/7*x**2 = 0 for x.
-1, 0, 1, 4
Let o = 90 + -54. Let s be (o/(-594))/((-1)/3). Solve 0*l**4 + 0*l**2 + 0 + 2/11*l**3 + 0*l - s*l**5 = 0 for l.
-1, 0, 1
Factor -1/5*h**3 + 2/5*h - 1/5*h**2 + 0.
-h*(h - 1)*(h + 2)/5
Let t be (-1)/2 - (-1 + 229/5). Let d = t + 93/2. Find l, given that -9/5*l**3 - 3/5*l**4 + 0 + 0*l - d*l**2 = 0.
-2, -1, 0
Let -3 - 182*z + 177*z - 5*z**2 + 13 = 0. What is z?
-2, 1
Factor 35/2*f**3 - 5/2*f**4 + 0 + 25/2*f - 55/2*f**2.
-5*f*(f - 5)*(f - 1)**2/2
Find j such that 0*j + 324/5*j**2 + 36/5*j**3 + 1/5*j**4 + 0 = 0.
-18, 0
Let n(c) be the first derivative of -c**6/1260 - c**5/84 - c**4/14 + 32*c**3/3 + 34. Let v(y) be the third derivative of n(y). Suppose v(r) = 0. Calculate r.
-3, -2
Suppose -3*v + 393 = -5*o, -5*v + 550 + 86 = -2*o. Let y be (2/(-14))/((-36)/v). Factor y*l - 1/4*l**2 + 0.
-l*(l - 2)/4
Find g, given that -24/25 + 22/5*g**2 + 16/25*g = 0.
-6/11, 2/5
Let o(u) be the first derivative of u**3 - 33*u**2/2 + 72*u - 29. Factor o(q).
3*(q - 8)*(q - 3)
Factor -10*g**2 - 4*g**2 - 18 - 30 - 14*g**2 - 176*g.
-4*(g + 6)*(7*g + 2)
Let s be 8/12 - (-163)/(-116). Let j = 1/87 - s. Suppose 1/2 + 1/4*d**4 - 1/4*d - j*d**2 + 1/4*d**3 = 0. Calculate d.
-2, -1, 1
Let o = 645 - 645. Let h(m) be the second derivative of 0*m**3 + o*m**2 - 6*m + 0 - 1/30*m**4 + 1/100*m**5. Let h(j) = 0. Calculate j.
0, 2
Let a(j) = -9*j**2 + j - 4. Let l = -4 + 33. Let k = -15 + l. Let c(g) = 4*g**2 + 2. Let z(f) = k*c(f) + 6*a(f). Determine n so that z(n) = 0.
-2, -1
Let b be 5/(-2) + (-66)/12 + 5 + 7. Find g, given that 3/4*g + 3/8*g**b - 3/8 - 3/4*g**3 + 0*g**2 = 0.
-1, 1
Let r(k) be the third derivative of -k**9/362880 - k**8/40320 + 11*k**5/60 - 9*k**2. Let z(x) be the third derivative of r(x). Factor z(q).
-q**2*(q + 3)/6
Let h(l) = -l**2 - 29*l - 28. Let i(a) = -a - 1. Let c(f) = -h(f) + 5*i(f). Factor c(n).
(n + 1)*(n + 23)
Let v(i) = 4*i - 44. Let x be v(11). Let u(p) be the second derivative of 3/20*p**5 + 1/2*p**4 + 5*p + x*p**2 + 0 + 0*p**3. Factor u(z).
3*z**2*(z + 2)
Let x(c) = c**2 + 14*c - 33. Let o be x(2). Let u be 48/12*o/(-38). Factor 0 - 2/19*s + u*s**2.
2*s*(s - 1)/19
Factor -180 + 12 - 46393*c**3 + 46389*c**3 - 40*c**2 + 212*c.
-4*(c - 3)*(c - 1)*(c + 14)
Let j(k) = 29*k**3 + 66*k**2 - 23*k. Let b(i) = -14*i**3 - 33*i**2 + 11*i. Let t(p) = -5*b(p) - 2*j(p). Factor t(l).
3*l*(l + 3)*(4*l - 1)
Let l = 17875 - 17873. Factor -2/7*j**l - 16/7 + 12/7*j.
-2*(j - 4)*(j - 2)/7
Find a such that 5/3 + 1/3*a**2 + 2*a = 0.
-5, -1
Factor 0 - 1/2*x**4 - 1/2*x + 1/2*x**2 + 1/2*x**3.
-x*(x - 1)**2*(x + 1)/2
What is s in 18 + 7*s**3 + 93*s + 20*s**4 + 75*s**2 + 7*s**4 - 124*s**3 = 0?
-1/3, 2, 3
Let a = -1684 - -1686. Solve -8/9*x**3 + 2/9*x**4 + 2/3*x**a + 0*x + 0 = 0.
0, 1, 3
Let 57/2*q**4 + 115/2*q**3 + 75/2*q**2 + 9/2*q**5 + 0*q + 0 = 0. Calculate q.
-3, -5/3, 0
Suppose n - 4*z = -n - 28, -5*n = -2*z + 54. Let s = -5 - n. Factor 3*m**3 + 0*m**5 + 4*m**4 - m**3 + 2*m**s.
2*m**3*(m + 1)**2
Let a = -3 - -7. Suppose -5*s = -2*c - 19, -5*c + 19 = a*s - 16. Determine l, given that -103*l - 7*l**c - 45*l**4 - 8*l**3 + 98*l + 25*l**2 = 0.
-1, 0, 1/3
Let z(h) be the first derivative of 2/3*h**3 - 2 + 1/15*h**5 - 3/2*h**2 - 1/3*h**4 + 0*h. Let y(t) be the second derivative of z(t). Factor y(a).
4*(a - 1)**2
Let t(k) be the first derivative of -5/3*k**3 + k**5 - 1 + 0*k**4 + 0*k + 0*k**2. Factor t(m).
5*m**2*(m - 1)*(m + 1)
Let u = -21820 - -240024/11. Factor 0 - u*b + 4/11*b**2 - 1/11*b**3.
-b*(b - 2)**2/11
Let z = 858/5 + -171. Let k be 3/(-6)*0/7. Solve 0*j + k - 3/5*j**2 + z*j**4 + 0*j**3 = 0.
-1, 0, 1
Let c(s) be the third derivative of s**8/252 + 2*s**7/15 + 5*s**6/6 - 361*s**5/45 + 68*s**4/3 - 32*s**3 - 301*s**2. Factor c(f).
4*(f - 1)**3*(f + 12)**2/3
Let a(w) be the second derivative of -w - 1/100*w**5 + 0 + 2/5*w**2 - 3/10*w**3 + 1/
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{
"pile_set_name": "DM Mathematics"
}
|
et k(g) be the second derivative of -1/3*g**3 + 0 + 1/6*g**4 + 0*g**2 + 3/20*g**5 + 25*g. What is k(-2)?
-12
Let u(f) = -7*f + 3. Let w(t) = 29*t - 13. Let p(g) = 9*u(g) + 2*w(g). Let l be 3/((-45)/(-6))*5. Give p(l).
-9
Let i(t) = -6*t + 150 - 310 - t**2 + 158. Give i(-5).
3
Let d(j) = -8*j - 3. Let s(z) = -z**2 + 25*z - 26. Let q = -89 - -113. Let k be s(q). What is d(k)?
13
Let c be (-2)/(((-44)/(-48))/11). Let w = 4 + c. Let n = -14 - w. Let q(y) = -2*y + 6. Calculate q(n).
-6
Let m = 108 + -111. Let l(v) = 3*v - 1. What is l(m)?
-10
Let i(y) = -4*y - 5. Let a be i(-2). Suppose a = 4*g - 5. Let v(q) = -4*q**3 - g*q**2 + 0*q**2 + 3 - 2 + q**2. Determine v(1).
-4
Suppose -3*z + 40 = 2*z. Suppose 4 = 4*q + z. Let c(t) be the second derivative of -t**3/3 - 3*t. Calculate c(q).
2
Let x(j) = -3 + 9 - 3*j + 13118*j**2 - 13112*j**2 - j**3. Give x(5).
16
Let p(f) be the second derivative of f**5/20 + 2*f**4/3 + 7*f**3/6 + 3*f**2/2 - 7*f. Let q(y) = 4*y - 59. Let l be q(13). Calculate p(l).
3
Let u(k) = -5*k**2. Let q(r) = r**3 + 7*r**2 + 2*r + 18. Let p be q(-7). Let m be 3/(-2) - p/(-8). Calculate u(m).
-5
Let c(r) = -13*r**2 + r - 3. Let a(z) = -7*z**2 + z - 2. Let m(u) = 11*a(u) - 6*c(u). Give m(3).
20
Let k(x) = -x**2 - 4*x + 2. Let g(d) = d**2 + 51*d - 917. Let z be g(-65). Calculate k(z).
-19
Let i(x) = -x**3 - x**2 - 3*x - 2. Let s = -67 - -77. Suppose 10*f = 5*f - s. Give i(f).
8
Let s(u) be the second derivative of u**5/20 + u**4/6 + 2*u**3/3 + 3*u**2/2 - u + 34. Calculate s(-2).
-5
Suppose 0*v + 4*v + 14 = 3*s, -v - 2 = 0. Let i(n) = 4*n**3 - 2*n**2 - 2*n + 1. Calculate i(s).
21
Suppose -38 = 4*c - 2*g, 10*c - 8*c + 23 = 5*g. Let u(y) = -y - 27. Calculate u(c).
-18
Suppose -6*n = -n. Let g = n + 1. Suppose -2*w - 9 = -g, x + 3*w + 7 = 0. Let t(m) = -m**2 + 5*m - 6. Give t(x).
-6
Let k(r) = -10*r. Suppose 0 = -29*u - 25 - 62. Give k(u).
30
Let z(h) = -h**2 + 7*h + 1. Let s(w) = -w**2 + 8*w + 1. Let i(l) = -2*s(l) + 3*z(l). Calculate i(4).
5
Let y(s) = 2*s + 15. Let v(n) = 5*n + 11. Let i be v(-4). What is y(i)?
-3
Let p(t) = -t**3 + 7 - 14*t**2 - 41*t + 8*t**2 + 36*t. What is p(-5)?
7
Let v(x) = 2*x**2 - 15*x + 6. Suppose -11*s - 393 = -481. What is v(s)?
14
Let q be 65 - 77 - (-5 - -1). Let u(b) = -b**3 - 9*b**2 - 11*b - 15. What is u(q)?
9
Suppose 3*w - 8 = w. Suppose 3*y - 83 = -5. Let h(s) = y*s - 12*s - 2 - 15*s. Calculate h(w).
-6
Let l = -1484 + 2508. Let n be l/176 + (-2)/(-11). Let a(m) = m**2 - 3*m - 8. Give a(n).
10
Let z = 29 - 34. Let s(x) = 22 + x - 19 + x**2 + 2*x + 2*x. What is s(z)?
3
Let s(o) = -o**2 - 10 + 2*o**2 + 9*o + 2 + 18. Let m be s(-8). Let h(j) = -3*j. What is h(m)?
-6
Suppose -18 = 2*w - 4*p - 2, 3*w - p + 4 = 0. Suppose 0*h + 5 = 4*v + 3*h, h - 3 = w. Let f(y) = 5*y**2 + 1. Determine f(v).
6
Let a(p) = -6*p + 5. Let l(y) = 5*y - 4. Let q(m) = -4*a(m) - 5*l(m). Let o(g) = 2*g + 3. Let s(c) = o(c) + 4*q(c). Determine s(6).
-9
Suppose 24 = 3*t + 9*t. Suppose 2*x - 4 = 3*k - 11, -4*k - x + t = 0. Let q(m) = -11*m**2 + 1. Give q(k).
-10
Let o(f) be the first derivative of -f**4/4 - 7*f**3/3 + 2*f**2 - 7*f + 116. Determine o(-8).
25
Let q(c) = -29 + 13*c - 6*c + 3*c - 5*c - 3*c. Determine q(18).
7
Let z(f) = f + 1. Let d = -24 - -35. Suppose 0 = 3*w - 4*b + 1, -d - 21 = -4*w - 3*b. Determine z(w).
6
Let o(a) = a**2 + 14*a - 44. Let s be o(-20). Let j = -80 + s. Let g(h) = 2*h - 2. What is g(j)?
-10
Let n(a) = 2*a + 12. Let r = -131 - -131. Give n(r).
12
Let t(g) be the first derivative of -g**4/4 + 4*g**3/3 - 3*g - 47. Give t(4).
-3
Let w(p) = -5*p - 13*p + 32*p - 11*p. Determine w(2).
6
Let x(d) = d**2 - d - 6. Let a be x(4). Let f(g) = -a - 2*g**2 - g + 8 - 2*g. Let h(v) = v**2 + 7*v - 3. Let t be h(-7). Determine f(t).
-7
Let d(q) = q**2 + 2*q. Let y be d(-1). Let j(m) = -m**2 + 3*m - 4. Let h(v) = -v + 1. Let w(t) = 3*h(t) + j(t). What is w(y)?
-2
Suppose v + 32 = 2*v + l, 122 = 4*v - 2*l. Let g(p) = -8*p - 32*p**2 - 2*p + v*p**2 - 2 - 5. Determine g(-6).
17
Let k(o) = 6*o + 14. Suppose -229*i + 242*i = -39. Give k(i).
-4
Let l(m) = -5*m + 3. Let i be 110/(-3 + -7) - -14. What is l(i)?
-12
Let q be ((-130)/(-585))/((-8)/(-6)). Let i(l) be the second derivative of -l - l**2 + q*l**4 + 0*l**3 + 0. Determine i(-2).
6
Let u(n) be the first derivative of n**4/4 + 3*n**3 - 5*n**2 + 6*n + 592. Give u(-10).
6
Suppose 5*g = -0*g + 25. Let p(n) = n + 5 - g*n**2 - 4*n**3 + 6*n**3 - 3*n**3. What is p(-5)?
0
Suppose 2*j + 3*b = 3, b + 0 = j - 4. Let i be (-22)/(-22)*(-4)/(8/(-6)). Let v(z) = -7 + 0*z + i - j*z. What is v(-5)?
11
Let g = 52 + -27. Let v(d) = -d - 12*d**2 + g*d**2 + 2 - 15*d**2 + 2*d**3. Calculate v(2).
8
Let j(y) be the third derivative of 0 - 1/24*y**4 - 1/60*y**5 + 1/6*y**3 + 0*y + 7*y**2. What is j(-3)?
-5
Let i(t) be the first derivative of -t**5/120 + 3*t**4/8 + 2*t**3/3 - 10. Let l(m) be the third derivative of i(m). Give l(6).
3
Let l(n) = n**2 - 10*n + 5. Suppose -4*o = o. Suppose -2*m + 5*m - 27 = o. What is l(m)?
-4
Suppose -2*o = 4*h - 4*o + 6, -2*h + 2 = 4*o. Let r = -146 - -222. Let k(w) = r + w + w**2 - 35 - 41. What is k(h)?
0
Let q(l) be the second derivative of l**3/6 + l**2 + l. Let h be (-356)/(-28) - (-4)/14. Suppose -3 + 3 = h*x. Determine q(x).
2
Let f(n) = -15 + 58*n**2 + 32*n + 14 - 30*n - 10*n**2. Calculate f(1).
49
Let o be (-9)/6 - (-121)/22. Let k(z) be the second derivative of 1/12*z**o + 0 + 3*z**2 - z**3 - 3*z. What is k(5)?
1
Let d(p) = p**2 + 13*p + 41. Let q = 1451 - 1458. What is d(q)?
-1
Suppose 0 = -7*k - 30 + 16. Let b be (0/2 - k)/((-34)/85). Let x(m) be the third derivative of m**6/120 + m**5/15 - m**4/6 + 2*m**3/3 + m**2. Determine x(b).
-1
Let j(p) = -3*p + 15. Let i = -132 - -142. Calculate j(i).
-15
Let r(x) = 4*x - 2. Let h = 485 - 484. Determine r(h).
2
Let v(i) = i**2 - 4*i - 1. Let r(z) = -3*z**2 + 9*z + 2. Let g(w) = w**3 - 3*w + 1. Let y be g(2). Let t(m) = y*r(m) + 7*v(m). Calculate t(-2).
-7
Let j be 3/(-9) + 19/3. Let q = 11 - j. Let u(m) = m**2 - 4*m - 3. Let o be u(q). Let p(v) = -4*v + 1. Determine p(o).
-7
Let u(l) = 3*l - 44. Let f(i) = 2*i - 24. Let m(c) = 5*f(c) - 3*u(c). Let h(o) = 2*o + 24. Let d = 3 + -8. Let a(s) = d*m(s) + 3*h(s). What is a(-5)?
7
Let i = 24 - 16. Let t = -13 + i. Let h(q) = 13*q + 9. Let s(f) = -4*f - 3. Let p(d) = 2*h(d) + 7*s(d). Give p(t).
7
Let o(u) be the first derivative of u**4/4 - u**3/3 - u**2/2 - 2*u + 9. Let d = 5 - 9. Let w = d + 4. Determine o(w).
-2
Let v be (-24)/32 - 5/((-60)/(-63)). Let q(z) = -z**3 - 6*z**2 + 5. What is q(v)?
5
Let q(n) = -10 + n**2 + n**2 + 6*n - n**2. Suppose 2*t - 17 = 3*w, -8*w + 3*w = -3*t + 29. What is q(w)?
-3
Let c(m) = m**3 - 13*m**2 + 13*m - 3. Let k be (4/14)/((-3)/21) - -14. Give c(k).
9
Let t(a) = 7*a**2 - 2*a - 6. Let u(p) = 9*p**2 - 2*p - 7. Let c(n) = 4*t(n) - 3*u(n). Determine c(-4).
21
Let r(s) = 6*s - 7. Let a be r(1). Let x(z) = -9*z**2 + 1. Calculate x(a).
-8
Let d(m) = m**3 + 6*m**2 + 1. Let b(t) = -3*t - 3. Let c be b(-2). Suppose 2*a - 3*a + 3*z = -c, -5*a - 15 = -5*z. Calculate d(a).
1
Let t(q) be the third derivative of -q**5/60 - 5*q**4/24 + 7*q**3/6 + q**2. Let h = -24 + 40. Let a = -21 + h. What is t(a)?
7
Let s(l) = 8*l**2 + l - 1. Let u(g) = -g**3 + 4*g**2 + 2*g - 9. Let p be u(5). Let c be (-2)/(-5) + p/(-40). Give s(c).
8
Let r be (-6)/(-27) + 136/36. Let f(w) = -10*w - 1 + 15*w + 4 - r. Suppose -t = 4*k - 3*k - 6, 3*t - 4*k + 17 = 0. What is f(t)?
4
Let s(v) be the second derivative of v**4/12 - v**3/6 + 21*v**2/2 - 676*v + 2. Suppose 2*o + 4*a - 4 = 4*o, -5*o = 5*a - 5. Give s(o).
21
Let o(b) = 4*b**2 - 6*b - 7. Let h(v) = v**2 + 1. Let n(m) = 3*h(m) - o(m). Give n(6).
10
Let j(p) = 2*p**2 - 5*p + 3. Let s(u) = 5*u**2 - 10*u + 5. Let v(a) = 7*j(a) - 3*s(a). Let g = 13 - 7. Let w = g + -11. Calculate v(w).
6
Let g(a) = 9*a + 4*a**2 + 3*a**2 - 3*a + 10 - a**3. Suppose -5*j - 4*w + 58 = -2, j + 5*w - 33 = 0. Give g(j).
-6
Suppose 2*v + 4*w + 67 = -3*v, 3*v = 4*w - 21. Let x(q) = -q**2 - 5*q + 4. Let m be x(-4). Let z = m + v. Let c(y) = y**2 + y + 2. Calculate c(z).
8
Let b(j) = j**3 - 3*j**2 + 4*j - 1. Let z(c) = -4*c**3 + 7*c**2 - 9*c + 3. Let y(t) = -t**3 - t. Let w(p) = -3*y(p) + z(p). Let f be w(6). Give b(f).
11
Let p(b) = -b**2 - 14*b - 13. Let t(i)
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{
"pile_set_name": "DM Mathematics"
}
|
-25*d = 21*d + 3*d - 3574795. Is d a prime number?
False
Let h = 1707 + 10554. Suppose h = 3*k + n + 2*n, 2*n + 20428 = 5*k. Suppose 3*b + 2039 = r, -2*r + k = -0*r - 2*b. Is r a composite number?
True
Let t(y) be the third derivative of -y**4/24 + 5167*y**3/6 + 27*y**2. Is t(0) composite?
False
Let t(j) = 1242*j + 10 - 175 + 322. Is t(6) a composite number?
True
Suppose -3*z = o - 3, -6*o = -4*o + 2*z + 14. Let u be 6646/1 - (o/3 + 8). Suppose -n - n = 5*d - 4411, -3*n + d + u = 0. Is n composite?
False
Let z(h) = h + 9. Let w be z(-4). Suppose 4*d = -3*x + 31, -5*d - 6 + 51 = w*x. Suppose x*k + 181 = 3116. Is k prime?
True
Suppose 5*r + 545 = -5*g, 9*g - 4*r = 4*g - 536. Let d(z) = 11*z**2 + 5*z + 27. Let n be d(10). Let t = n - g. Is t composite?
True
Is (-1396576)/(-64) + ((-9)/6)/3 prime?
True
Let r(a) be the second derivative of -a**4/3 + 47*a**3/6 - 3*a**2 - a. Let s(z) be the first derivative of r(z). Is s(-19) composite?
False
Let y(u) = 4628*u**2 + 6 + 22*u + 16*u - 33*u. Is y(-1) a composite number?
True
Let x be (-1)/6 - 10/120*-74. Suppose -3*h = t - x*h - 3262, -3*h + 16400 = 5*t. Is t a prime number?
False
Let s(l) = -127*l - 1. Let y be s(2). Let n = -505 - -1203. Let a = n + y. Is a a prime number?
True
Let u(i) = -46*i**3 - 38*i**2 + 20*i + 115. Is u(-16) a composite number?
True
Let m(g) be the second derivative of -g**5/20 - g**3/3 + 379*g**2/2 + 29*g. Is m(0) a prime number?
True
Let n be 3/(-9) + 604/(-6) + -4. Let t = 107 + n. Suppose 2*a = a - 5*l + 840, -t*l = -4*a + 3250. Is a composite?
True
Let o be -11 + 2 + -4 - -2. Let c(k) = k + 5. Let a(f) = 32*f - 31. Let w(l) = -a(l) - 5*c(l). Is w(o) a prime number?
False
Suppose -237359 = -4*v - 4*h - 48615, -5*v = 3*h - 235936. Is v composite?
False
Suppose 49*z - 30*z - 2180117 = 0. Is z a prime number?
True
Let m(a) = a**3 - 50*a**2 + 266*a - 149. Is m(64) prime?
True
Let q = 19605 + -412. Is q composite?
True
Suppose 2*t - 9 = -w - 2*t, -3*w - t - 6 = 0. Let s(u) = 4*u**2 + u + 2. Let h be s(w). Suppose 2*d = -3*l + 49, -3*d + h + 36 = 2*l. Is d composite?
False
Let g be (6/(-21))/((-1)/14). Suppose 2*f + 137 = g*f + 5*d, f - 5*d - 91 = 0. Let z = f + 103. Is z prime?
True
Let q = 44 + -50. Is (q/(-4))/((-24)/(-23440)) a prime number?
False
Let m(i) = i**2 + 11*i + 7. Let x be m(-11). Let y be 3*x/21*(0 + 3). Is 0 + (y/6)/((-3)/(-222)) a prime number?
True
Suppose -7*n = -12*n + 10710. Let i = 4087 - n. Is i prime?
False
Let c = 147 + -255. Let x be 0 + 2 + (-875 - -4). Let m = c - x. Is m composite?
False
Suppose 2*g - 4 = -4*a + 4, a - 2 = 4*g. Suppose -3*y = 2*h - 9815, -4*y + 13096 = -g*y + 5*h. Is y prime?
False
Suppose -2*c + 4*c - i = 2, 0 = -c - 4*i - 8. Suppose -4*l + 15 + 1 = c, -5*l + 36 = 4*u. Suppose 0*z = u*z - 1652. Is z composite?
True
Let y be (-1)/((-3)/9) + 58001. Suppose 4*u - y = 26040. Is u a prime number?
True
Is 55/33*235464/40 a composite number?
False
Suppose 3*k - 3095 = l, -5*l - 6178 = -3*l - 2*k. Let d = -2077 - l. Is d composite?
False
Suppose 3*v - 5*i = 145306, -4*v + 114153 = 3*i - 79598. Is v a prime number?
True
Suppose 5*g + 44240 = -586*p + 591*p, -g = -5*p + 44244. Is p composite?
False
Suppose -14 - 13 = -s. Let p = s - 23. Is (-7 + 13)/(p/146) prime?
False
Suppose -s = 3*t - 389589, 113*s = -t + 114*s + 129863. Is t a composite number?
True
Is (1*31638/24)/((-4)/(-16)) composite?
False
Let v be (-268485)/(-10)*(-36)/7. Is (2/(-1))/(-7 - v/19726) a prime number?
False
Suppose 2*m = -0*y + 2*y + 8, -5*m + 17 = -2*y. Let w be m - -263 - (-6)/(-3). Suppose q - 29 = w. Is q a prime number?
True
Is (973142/(-152))/((-5)/20) a composite number?
False
Let v(k) = 5*k**2 - 6*k + 9. Let g be v(5). Let o = 110 - g. Let j(h) = 25*h - 31. Is j(o) composite?
True
Suppose -308*w + 625*w = 308*w + 12438189. Is w composite?
False
Is (-4)/(-5) - 2574025/(-125) a prime number?
True
Let a(k) = 3*k**2 - 2*k - 2. Let b = -50 + 49. Let n be a(b). Is 1/n - (32888/(-12) + 0) a prime number?
True
Is 18 - 264/16 - (-98363)/2 prime?
False
Is (-489665)/(-435) - ((12/(-9))/(-2) - 1) a prime number?
False
Let v(j) = 34*j**2 + 5*j - 2. Let b be 6*(5 - 9/2). Is v(b) a prime number?
False
Suppose -492*n + 2*m = -496*n + 1979374, m - 2474216 = -5*n. Is n composite?
False
Suppose 7*i + 3*i - 281253 = 82157. Is i composite?
False
Let y = -125838 + 437285. Is y a prime number?
True
Suppose 46*s - 14*s = -59488. Let j = s + 3613. Is j composite?
True
Let o be (-4 - 0 - 3)*(-20)/28. Is (11525/o)/(-5)*-2 a composite number?
True
Let n = 36182 - 12441. Is n composite?
False
Suppose -131*b + 102987426 = -40900128 - 53022345. Is b composite?
True
Let l(x) = 3*x + 55 + 3*x - 27. Let s be l(-4). Suppose -3*i + 226 = -s*j + 9162, 4*j = 5*i + 8928. Is j composite?
False
Let h(d) = -90212*d + 2433. Is h(-17) a composite number?
False
Suppose 36 + 3 = -13*y. Let v be 0 + (1049 - (1 + 3 + y)). Suppose -3*x + v = -503. Is x composite?
True
Is 47469 - ((-3)/8 + (-1102)/304) a prime number?
False
Suppose 18*v = 15*v. Suppose -10 = 5*q, v*u = -u - 4*q + 413. Let t = u + -84. Is t a prime number?
True
Let p(o) = 112825*o**3 - 2*o**2 + 8*o - 27. Is p(2) a composite number?
True
Is (-14)/21*(1 + 11/(-2)) - -78796 a composite number?
True
Is -1*(-4)/30 - 2288932/(-60) prime?
True
Suppose 0*r + 5*z = 2*r - 26, -4*r + 8 = z. Let m be r/21 - 375/(-21). Suppose -3935 = 13*t - m*t. Is t composite?
False
Suppose -3*k = -4*m - 66, -k = -2*m - 2*k - 38. Is 1 + 4190 - -2*m/(-9) a prime number?
False
Suppose 2*q = -3*j - 3*q + 4, -16 = -4*j + 4*q. Suppose 0 = 4*i + 6*m - m - 10219, 2*i - 5093 = j*m. Is i composite?
False
Suppose -2*i = 2*i, -4*i - 9 = -3*r. Suppose -5*s - 1744 = -w - 8*s, 2*w - 3533 = r*s. Is w a prime number?
True
Suppose 2*f - 2289 = 519. Let n = f + -738. Is ((-82)/(-3))/(12/n) a composite number?
True
Let q = -469 - -990. Suppose 139*y - 9498 = 133*y. Suppose 3*z - 3*p + 7*p = y, z + 3*p = q. Is z composite?
True
Let l(g) = 75*g**3 + g**2 + 16*g - 58. Let a be l(4). Suppose 434 = -4*y + a. Is y composite?
False
Suppose 2*h - 3*h - 4*w + 20 = 0, -2*w + 10 = -5*h. Suppose -i + g = 3*i - 1088, 4 = -g. Suppose -z + i - 108 = h. Is z a prime number?
True
Let i be 26*(-6 - -4 - 14). Is 1 - (-3 - 2) - i a composite number?
True
Let u = -35387 + 65840. Is u a prime number?
False
Suppose 1484 - 176 = 4*g - 4*h, -h = g - 325. Suppose -5*i = -319 - 356. Let q = g - i. Is q prime?
True
Let b(u) = u**2 - 10*u - 141. Let a be b(-9). Suppose -a*j + 350 = 5*j. Is j prime?
False
Let r(c) = 4*c**3 - 16*c**2 - 30*c - 35. Suppose 0 = w + 2*y - 17, -18*w = -16*w + 2*y - 34. Is r(w) a prime number?
False
Suppose 3*z = 4*c + 283942, 5*c - 2072 - 92607 = -z. Suppose 40*y = 54*y - z. Is y composite?
False
Let n(k) = 4*k**2 + 2*k - 1. Let f be n(-1). Let h be (8/(-12)*f)/((-1)/6). Suppose 3*b - 959 = -2*l, h*b + l = 2*l + 1275. Is b prime?
False
Suppose -4*p = 4*b + b, 2*p = -3*b. Suppose 0 = 5*d - b*d - 5870. Is (d - -12)*(-1)/(-2) a prime number?
True
Let k = -209946 - -341027. Is k a prime number?
False
Let a = -10 - -9. Let y(r) = -5*r**3 + 9*r**2 - 13*r + 5. Let j(b) = -b**3 - b**2 - 1. Let t(u) = a*y(u) + 6*j(u). Is t(-16) a prime number?
True
Is (-240190)/(-50)*-5*-1 a composite number?
False
Suppose -5*n + 9583741 = 21*x - 20*x, -2*x - 5750229 = -3*n. Is n prime?
False
Suppose -3*u = 5*m - 776357, 0 = 4*m - 4 - 12. Is u a composite number?
False
Let c = -35661 + 102388. Is c a composite number?
True
Let t = -37460 + 62469. Is t a prime number?
False
Let o = 6196 - 3403. Is o - (8 - 8 - -4) a prime number?
True
Let n(q) be the third derivative of 691*q**5/60 + 477*q**2. Suppose 4*v - 12 + 1 = -5*a, -v + 5 = 2*a. Is n(v) composite?
False
Let x(k) = -4*k**3 - 57*k**2 - 232*k - 24. Is x(-25) prime?
False
Suppose -36*a + 41*a = -5*j + 14097935, -2*j + 5639174 = -5*a. Is j a prime number?
True
Let h be 18/90 - 1/5. Suppose h*z = -u + 5*z + 13, 0 = z + 1. Is (u/(-4) - -3)*293 a composite number?
False
Let u be 186/(-15) + (-12)/(-30). Let z be (-6)/18 - 14/u*2. Suppose k - 2489 = -4*m + 2*k, -2498 = -4*m - z*k. Is m prime?
False
Let b(r) = -13557*r - 698. Is b(-7) a prime number?
True
Let v be 340*4/(-6)*18/12. Let a = v + 130. Let s = -79 - a. Is s a composite number?
False
Is (-449)/(375/225 + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
-o**3 + o**2 + 71*o - 36
What is the u'th term of -948, -1898, -2848, -3798, -4748?
-950*u + 2
What is the b'th term of 299, 299, 301, 305, 311, 319, 329?
b**2 - 3*b + 301
What is the j'th term of 1251, 1255, 1261, 1269, 1279, 1291, 1305?
j**2 + j + 1249
What is the o'th term of 873, 1741, 2609, 3477, 4345, 5213?
868*o + 5
What is the v'th term of 1, 27, 101, 247, 489?
4*v**3 - 2*v - 1
What is the m'th term of 3, 5, 5, 3, -1, -7?
-m**2 + 5*m - 1
What is the m'th term of -101, -205, -313, -425, -541?
-2*m**2 - 98*m - 1
What is the x'th term of 30, 126, 276, 468, 690, 930?
-2*x**3 + 39*x**2 - 7*x
What is the i'th term of -74, -139, -204, -269, -334?
-65*i - 9
What is the z'th term of 8421, 8420, 8419, 8418?
-z + 8422
What is the u'th term of 24, 47, 72, 99, 128, 159, 192?
u**2 + 20*u + 3
What is the w'th term of -121, -109, -93, -73, -49, -21, 11?
2*w**2 + 6*w - 129
What is the d'th term of -32, -51, -66, -77, -84, -87, -86?
2*d**2 - 25*d - 9
What is the r'th term of 2618, 2615, 2612, 2609, 2606?
-3*r + 2621
What is the q'th term of 125, 119, 113, 107, 101, 95?
-6*q + 131
What is the r'th term of -15, -60, -135, -240?
-15*r**2
What is the t'th term of -205, -221, -263, -343, -473, -665, -931?
-2*t**3 - t**2 + t - 203
What is the x'th term of 278, 279, 280, 281?
x + 277
What is the a'th term of 105, 124, 161, 222, 313, 440?
a**3 + 3*a**2 + 3*a + 98
What is the w'th term of 291, 329, 437, 651, 1007, 1541, 2289, 3287?
6*w**3 - w**2 - w + 287
What is the o'th term of -155, -153, -151?
2*o - 157
What is the o'th term of 53, 200, 443, 782, 1217, 1748, 2375?
48*o**2 + 3*o + 2
What is the h'th term of -184, -185, -186, -187, -188?
-h - 183
What is the g'th term of 110, 109, 108, 107, 106, 105?
-g + 111
What is the p'th term of -55, -55, -53, -49, -43, -35, -25?
p**2 - 3*p - 53
What is the m'th term of 96, 126, 128, 90, 0, -154?
-2*m**3 - 2*m**2 + 50*m + 50
What is the y'th term of -287, -284, -281, -278, -275?
3*y - 290
What is the f'th term of 5, -2, -19, -46, -83, -130, -187?
-5*f**2 + 8*f + 2
What is the h'th term of 51, 50, 47, 42, 35?
-h**2 + 2*h + 50
What is the u'th term of -30, -17, 10, 57, 130, 235, 378, 565?
u**3 + u**2 + 3*u - 35
What is the m'th term of -263, -529, -795, -1061?
-266*m + 3
What is the h'th term of -838, -1675, -2512, -3349, -4186, -5023?
-837*h - 1
What is the w'th term of -26, -47, -68, -89, -110, -131?
-21*w - 5
What is the t'th term of 30, 25, 20, 15, 10?
-5*t + 35
What is the t'th term of 212, -70, -842, -2350, -4840, -8558?
-41*t**3 + t**2 + 2*t + 250
What is the q'th term of 850, 1691, 2532?
841*q + 9
What is the o'th term of -562, -561, -560, -559, -558?
o - 563
What is the i'th term of 1118, 2234, 3350, 4466, 5582?
1116*i + 2
What is the z'th term of -15, -27, -35, -39, -39?
2*z**2 - 18*z + 1
What is the b'th term of 28, 7, -14, -35, -56, -77?
-21*b + 49
What is the v'th term of -107, -412, -913, -1604, -2479, -3532, -4757?
v**3 - 104*v**2 - 4
What is the f'th term of -326, -654, -982, -1310?
-328*f + 2
What is the x'th term of -187, -192, -209, -244, -303, -392, -517, -684?
-x**3 + 2*x - 188
What is the i'th term of -237, -229, -199, -135, -25, 143, 381, 701?
2*i**3 - i**2 - 3*i - 235
What is the k'th term of -14, -40, -74, -122, -190?
-k**3 + 2*k**2 - 25*k + 10
What is the m'th term of 214, 855, 1922, 3415, 5334?
213*m**2 + 2*m - 1
What is the f'th term of -50, -103, -158, -215?
-f**2 - 50*f + 1
What is the w'th term of 317, 670, 1035, 1418, 1825, 2262, 2735?
w**3 + 346*w - 30
What is the m'th term of -2555, -2554, -2553, -2552?
m - 2556
What is the y'th term of -3188, -6378, -9568, -12758, -15948?
-3190*y + 2
What is the h'th term of -260, -255, -254, -257?
-2*h**2 + 11*h - 269
What is the i'th term of 23, 48, 95, 170, 279, 428, 623, 870?
i**3 + 5*i**2 + 3*i + 14
What is the t'th term of -1, 1, 7, 17, 31, 49, 71?
2*t**2 - 4*t + 1
What is the o'th term of -4, 8, 22, 38, 56, 76, 98?
o**2 + 9*o - 14
What is the v'th term of -29, -56, -85, -116?
-v**2 - 24*v - 4
What is the f'th term of -61, -247, -557, -991, -1549, -2231, -3037?
-62*f**2 + 1
What is the j'th term of -112, -446, -1002, -1780, -2780, -4002?
-111*j**2 - j
What is the q'th term of -13, -37, -77, -133?
-8*q**2 - 5
What is the r'th term of -160, -568, -1238, -2164, -3340, -4760?
r**3 - 137*r**2 - 4*r - 20
What is the z'th term of -2594, -2613, -2622, -2615, -2586, -2529?
z**3 - z**2 - 23*z - 2571
What is the w'th term of -88, -184, -282, -382, -484?
-w**2 - 93*w + 6
What is the l'th term of -432, -430, -426, -420, -412?
l**2 - l - 432
What is the q'th term of 310, 311, 312?
q + 309
What is the a'th term of -36, -189, -444, -801, -1260, -1821, -2484?
-51*a**2 + 15
What is the b'th term of 287, 1168, 2637, 4694?
294*b**2 - b - 6
What is the a'th term of -148, -163, -178?
-15*a - 133
What is the l'th term of -62, -121, -220, -359?
-20*l**2 + l - 43
What is the c'th term of -185, -414, -689, -1016, -1401, -1850, -2369, -2964?
-c**3 - 17*c**2 - 171*c + 4
What is the n'th term of -187, -189, -191, -193?
-2*n - 185
What is the x'th term of 30, 24, 18, 12?
-6*x + 36
What is the w'th term of -29, -41, -61, -95, -149, -229, -341?
-w**3 + 2*w**2 - 11*w - 19
What is the s'th term of 166, 160, 144, 112, 58, -24?
-s**3 + s**2 - 2*s + 168
What is the b'th term of 13, 33, 61, 97, 141?
4*b**2 + 8*b + 1
What is the w'th term of -24, -164, -536, -1254, -2432, -4184, -6624?
-19*w**3 - 2*w**2 - w - 2
What is the i'th term of 139, 298, 457, 616?
159*i - 20
What is the b'th term of 33, 35, 39, 45, 53, 63?
b**2 - b + 33
What is the i'th term of 5446, 5447, 5446, 5443?
-i**2 + 4*i + 5443
What is the d'th term of 90, 362, 814, 1446, 2258, 3250?
90*d**2 + 2*d - 2
What is the w'th term of -42, -63, -112, -201, -342?
-2*w**3 - 2*w**2 - w - 37
What is the m'th term of 673, 666, 667, 682, 717, 778, 871?
m**3 - 2*m**2 - 8*m + 682
What is the r'th term of 124, 289, 458, 631, 808, 989?
2*r**2 + 159*r - 37
What is the q'th term of -456, -457, -458?
-q - 455
What is the t'th term of -4, -1, 2, 5, 8?
3*t - 7
What is the u'th term of -69, -271, -607, -1077, -1681, -2419?
-67*u**2 - u - 1
What is the c'th term of -12872, -12874, -12878, -12884, -12892?
-c**2 + c - 12872
What is the z'th term of -47, -43, -35, -23?
2*z**2 - 2*z - 47
What is the i'th term of 38, 25, 10, -7, -26, -47, -70?
-i**2 - 10*i + 49
What is the d'th term of 12, 7, -8, -39, -92, -173?
-d**3 + d**2 - d + 13
What is the m'th term of -33, -31, -27, -21, -13?
m**2 - m - 33
What is the b'th term of 924, 911, 890, 861, 824?
-4*b**2 - b + 929
What is the b'th term of -36, -70, -116, -180, -268, -386, -540, -736?
-b**3 - 27*b - 8
What is the b'th term of -166, -306, -446?
-140*b - 26
What is the v'th term of -51, -51, -45, -33, -15, 9?
3*v**2 - 9*v - 45
What is the j'th term of 1, 8, 19, 34, 53, 76, 103?
2*j**2 + j - 2
What is the u'th term of -131, -325, -519, -713, -907?
-194*u + 63
What is the n'th term of 9, 6, 7, 18, 45, 94, 171, 282?
n**3 - 4*n**2 + 2*n + 10
What is the n'th term of -52, -357, -1180, -2779, -5412, -9337, -14812?
-43*n**3 - n**2 - n - 7
What is the b'th term of -43, -110, -221, -376, -575, -818, -1105?
-22*b**2 - b - 20
What is the s'th term of 875, 853, 803, 713, 571, 365, 83?
-2*s**3 - 2*s**2 - 2*s + 881
What is the c'th term of 1271, 1263, 1271, 1301, 1359, 1451?
c**3 + 2*c**2 - 21*c + 1289
What is the f'th term of 8546, 17092, 25638?
8546*f
What is the h'th term of -48, -43, -36, -27, -16, -3, 12?
h**2 + 2*h - 51
What is the x'th term of 48, 191, 430, 765?
48*x**2 - x + 1
What is the o'th term of 30, 63, 104, 159, 234, 335?
o**3 - 2*o**2 + 32*o - 1
What is the w'th term of 6258, 12514, 18770, 25026?
6256*w + 2
What is the v'th term of 38, 43, 54, 71, 94?
3*v**2 - 4*v + 39
What is the a'th term of 5, -5, -27, -67, -131, -225?
-a**3 - 3*a + 9
What is the p'th term of -43, -88, -133, -178?
-45*p + 2
What is the o'th term of -1399, -5605, -12615, -22429, -35047, -50469, -68695?
-1402*o**2 + 3
What is the z'th term of 14, 3, -14, -37, -66?
-3*z**2 - 2*z + 19
What is the h'th term of -507, -502, -495, -486, -475?
h**2 + 2*h - 510
What is the b'th term of -143, -151, -173, -215, -283?
-b**3 - b**2 + 2*b - 143
What is the s'th term of 196, 197, 186, 157, 104?
-s**3 + 8*s + 189
What is the s'th term of -13, -49
|
{
"pile_set_name": "DM Mathematics"
}
|
iple of 1900 and 10?
1900
Find the common denominator of 67/120 and -121/90.
360
Calculate the smallest common multiple of 216 and 432.
432
Calculate the least common multiple of 6 and 5.
30
What is the least common multiple of 18 and 78?
234
What is the least common multiple of 273 and 75?
6825
Calculate the lowest common multiple of 48 and 56.
336
What is the least common multiple of 2 and 16?
16
What is the lowest common multiple of 35 and 315?
315
What is the common denominator of -10/99 and 107/10?
990
What is the smallest common multiple of 2329 and 1?
2329
Calculate the lowest common multiple of 510 and 102.
510
What is the smallest common multiple of 5 and 325?
325
What is the least common multiple of 168 and 52?
2184
Calculate the common denominator of 97/366 and 56/597.
72834
Calculate the common denominator of -13/2412 and -61/1206.
2412
Find the common denominator of -23/502 and 13/18072.
18072
What is the least common multiple of 45 and 8550?
8550
Calculate the common denominator of 13/6 and 101/594.
594
What is the lowest common multiple of 221 and 169?
2873
What is the lowest common multiple of 132 and 66?
132
Find the common denominator of -149/5760 and 29/12.
5760
What is the lowest common multiple of 956 and 8?
1912
Calculate the smallest common multiple of 11 and 172.
1892
What is the common denominator of -89/78 and 1/1389?
36114
Calculate the smallest common multiple of 4704 and 20.
23520
What is the common denominator of 14/57 and -89/380?
1140
Calculate the lowest common multiple of 342 and 564.
32148
What is the common denominator of -8/107 and -40/7?
749
What is the lowest common multiple of 3522 and 18?
10566
Calculate the smallest common multiple of 102 and 84.
1428
Calculate the common denominator of 33/10 and 14/9.
90
What is the common denominator of -127/312 and 11/84?
2184
Calculate the common denominator of 23/372 and -51/40.
3720
What is the common denominator of -89/8 and -33/40?
40
What is the lowest common multiple of 15 and 1641?
8205
What is the common denominator of 19/174 and 11/15?
870
Calculate the common denominator of -31/115 and -41/161.
805
What is the lowest common multiple of 40 and 40?
40
Calculate the common denominator of -125/252 and -117/56.
504
What is the least common multiple of 71208 and 6?
71208
Calculate the least common multiple of 6 and 95.
570
What is the smallest common multiple of 111 and 7?
777
Calculate the common denominator of 139/2202 and 91/8.
8808
Calculate the smallest common multiple of 3789 and 126.
53046
Calculate the lowest common multiple of 42 and 161.
966
What is the common denominator of -11/12 and -113/40?
120
Calculate the lowest common multiple of 3618 and 72.
14472
Calculate the smallest common multiple of 24 and 27.
216
What is the common denominator of 17/30 and -79/36?
180
Calculate the smallest common multiple of 442 and 8.
1768
What is the least common multiple of 150 and 60?
300
Calculate the least common multiple of 876 and 4088.
12264
Calculate the common denominator of 157/630 and 41/45.
630
Calculate the least common multiple of 16 and 228.
912
Calculate the common denominator of -127/102 and -37/4.
204
Calculate the lowest common multiple of 62 and 279.
558
Calculate the smallest common multiple of 2464 and 14.
2464
What is the common denominator of 43/1440 and 17/54?
4320
What is the common denominator of 3/28 and 1/132?
924
What is the common denominator of 45/611 and 33/65?
3055
What is the common denominator of 28/135 and -7/20?
540
Find the common denominator of 73/2024 and -67/1840.
20240
Calculate the common denominator of 41/3 and -101/66.
66
Calculate the common denominator of -19/11 and 41/1324.
14564
What is the common denominator of -91/92 and -33/115?
460
Find the common denominator of 89/44 and 103/12.
132
What is the lowest common multiple of 369 and 615?
1845
Calculate the common denominator of 53/54 and 143/30.
270
What is the common denominator of -109/828 and -1/15?
4140
Calculate the smallest common multiple of 219 and 2.
438
Find the common denominator of 73/702 and 67/54.
702
Calculate the common denominator of -49/1268 and 47/8.
2536
Calculate the lowest common multiple of 1986 and 662.
1986
What is the least common multiple of 380 and 40?
760
What is the common denominator of 73/6 and -17/447?
894
What is the least common multiple of 104 and 1904?
24752
What is the least common multiple of 580 and 406?
4060
Find the common denominator of -119/32190 and 99/16.
257520
What is the least common multiple of 172 and 104?
4472
Calculate the lowest common multiple of 1101 and 2569.
7707
What is the common denominator of 43/780 and -107/5460?
5460
Calculate the common denominator of -51/160 and -59/1960.
7840
What is the smallest common multiple of 16 and 84?
336
What is the common denominator of -167/2352 and 79/8?
2352
What is the smallest common multiple of 108 and 5?
540
Calculate the smallest common multiple of 16130 and 40.
64520
What is the common denominator of -77/50 and 119/300?
300
Calculate the common denominator of -41/72 and -5/2344.
21096
Calculate the least common multiple of 12 and 72.
72
Calculate the common denominator of 21/3152 and -101/40.
15760
What is the common denominator of -27/16 and 103/70?
560
What is the common denominator of 7 and 59/1846?
1846
Calculate the common denominator of -25/18 and 101/144.
144
What is the least common multiple of 12 and 180?
180
What is the lowest common multiple of 6 and 111?
222
What is the common denominator of -125/54 and -23/858?
7722
Calculate the least common multiple of 14 and 2.
14
Calculate the least common multiple of 701 and 9.
6309
What is the lowest common multiple of 1530 and 1530?
1530
What is the least common multiple of 2256 and 144?
6768
Calculate the common denominator of -10/21 and -139/78.
546
Calculate the common denominator of -6/115 and -17/46.
230
What is the common denominator of -103/18 and 28/27?
54
What is the smallest common multiple of 12 and 75?
300
Calculate the common denominator of 157/120 and 199/420.
840
Find the common denominator of 23/1254 and 56/1045.
6270
What is the least common multiple of 1891 and 2294?
139934
Find the common denominator of -73/21 and 67/63.
63
Calculate the least common multiple of 33 and 33.
33
Calculate the lowest common multiple of 24 and 44.
264
Calculate the common denominator of 47/162 and 173/378.
1134
Calculate the least common multiple of 1652 and 308.
18172
What is the smallest common multiple of 30 and 1479?
14790
Calculate the common denominator of -113/5688 and -41/553.
39816
Find the common denominator of -11/49 and 41/119.
833
Calculate the lowest common multiple of 22 and 78.
858
What is the least common multiple of 27 and 21?
189
Find the common denominator of -91/5100 and -107/272.
20400
Calculate the common denominator of -87/22 and 151/444.
4884
Find the common denominator of 71/270 and -59/324.
1620
Calculate the smallest common multiple of 4 and 16.
16
What is the common denominator of 143/120 and 1/30?
120
Calculate the common denominator of 107/714 and -7/68.
1428
Calculate the common denominator of -87/1100 and -51/10.
1100
What is the lowest common multiple of 16 and 184?
368
What is the common denominator of 43/176 and -83/1386?
11088
What is the common denominator of -113/110 and -69/692?
38060
Calculate the common denominator of -83/2052 and -7/396.
22572
What is the smallest common multiple of 3150 and 5775?
34650
What is the lowest common multiple of 1170 and 14?
8190
Calculate the least common multiple of 348 and 219.
25404
Find the common denominator of 17/54 and 57/22.
594
What is the lowest common multiple of 2 and 484?
484
What is the lowest common multiple of 56 and 49?
392
What is the least common multiple of 126 and 108?
756
Calculate the lowest common multiple of 1188 and 396.
1188
What is the least common multiple of 185 and 30?
1110
Find the common denominator of -97/150 and -67/834.
20850
What is the common denominator of -25/144 and 35/72?
144
Calculate the common denominator of 81/1024 and 65/12.
3072
What is the least common multiple of 2160 and 64?
8640
Calculate the common denominator of -62/3 and -8/17.
51
Calculate the common denominator of -151/1146 and 43/24
|
{
"pile_set_name": "DM Mathematics"
}
|
- 85 - 7 + 14 - 7 + 0.
-s - 85
Collect the terms in -26*k**2 + 5*k**2 + 4*k**2 + 103*k + 6*k**2 + 2*k**2.
-9*k**2 + 103*k
Collect the terms in 3544 + 3534 + 3528 + 3543 + 3759 - 17908 - 3*c**2.
-3*c**2
Collect the terms in -128 - 121 - 116 - 109 + 474 + s**2.
s**2
Collect the terms in 2237*k**2 - 886*k**2 + 1830*k**2 - 1324*k**2 + 2943*k**2.
4800*k**2
Collect the terms in 163*p**3 - 35*p - 37*p**3 + 22*p**3.
148*p**3 - 35*p
Collect the terms in 8*x**2 + 956*x - 32*x**2 + 964*x - 1920*x - 31*x**2 + 27*x**2.
-28*x**2
Collect the terms in 0*g - 4*g - 6*g + 941 - 924.
-10*g + 17
Collect the terms in 223 - 136345456*a + 136345232*a - 223.
-224*a
Collect the terms in 1056*f + 2 - 1603*f + 588*f.
41*f + 2
Collect the terms in -31 - 54 + 119 - 47*u + 48*u.
u + 34
Collect the terms in 5443*t - 11065*t - 1618*t - 1 - 97570*t.
-104810*t - 1
Collect the terms in -10042441*g + 10042441*g + 85*g**2.
85*g**2
Collect the terms in 47 - 30 - 208*b**2 - 17 - 177*b**2 - 2*b.
-385*b**2 - 2*b
Collect the terms in 208*x - 40*x - 44*x - 40*x - 49*x - 31*x.
4*x
Collect the terms in 524*s**3 + 252*s**3 + 34*s**3 - 107*s**3 + 247*s**3.
950*s**3
Collect the terms in 61364*q**2 + 61371*q**2 + 62*q + 61365*q**2 - 184100*q**2 - 5*q**3 + 14*q.
-5*q**3 + 76*q
Collect the terms in 1854 + 800 + 2775*f - 944 - 2777*f + 2502 + 363.
-2*f + 4575
Collect the terms in -3*r + 1820*r**2 + 3*r + 1912*r**2 + 1826*r**2 - 5559*r**2.
-r**2
Collect the terms in 125487*i + 125623*i - 3*i**2 + 125480*i + 3*i**2 - 376590*i + 6*i**2.
6*i**2
Collect the terms in -148420*i**2 - 126 + 252 - 126.
-148420*i**2
Collect the terms in -3*j**2 + 369*j - 256*j + 27*j**2 - 5*j**2.
19*j**2 + 113*j
Collect the terms in 1423*n - 82 - 81 + 2436*n + 165.
3859*n + 2
Collect the terms in 196*g - 6 - 644*g + 6 + 214*g + 167*g.
-67*g
Collect the terms in 25909*w - 52121*w + 25958*w.
-254*w
Collect the terms in 509 - 57*r + r - 1885.
-56*r - 1376
Collect the terms in 360 - 21908*f**3 - 360.
-21908*f**3
Collect the terms in 10489*g**2 - 11497*g**2 - 17985*g**2 - 6266*g**2.
-25259*g**2
Collect the terms in -12 - 6*y**2 + 2163*y**3 + 4*y**2 - 2170*y**3.
-7*y**3 - 2*y**2 - 12
Collect the terms in -4*m - 33*m + 32*m + 6*m + 34*m + 49*m.
84*m
Collect the terms in -236 + 236 - 3843*m + 1278*m + 1280*m + 1281*m.
-4*m
Collect the terms in 571*m**3 + 228*m**2 + 232*m**2 + 231*m**2 - 691*m**2 + 112*m**3.
683*m**3
Collect the terms in -39454*w - 39202*w + 118852*w - 39600*w.
596*w
Collect the terms in 2*n**3 + n**3 + 58438*n**2 - 58445*n**2.
3*n**3 - 7*n**2
Collect the terms in 63*a + 36*a + 1778 + 46*a - 854 - 924.
145*a
Collect the terms in -2*q**2 - 4*q + q**2 + 54*q**2 + 2*q + 59*q**2.
112*q**2 - 2*q
Collect the terms in -74872 - 41*h - 74878 + 42*h + 149750.
h
Collect the terms in -97*j - 91*j + 7*j**2 + 456*j - 98*j - 70*j - 96*j.
7*j**2 + 4*j
Collect the terms in -1856*s**3 + 65*s - 80*s + 15*s + 9369*s**3.
7513*s**3
Collect the terms in -17684*v - 17691*v + 8*v**3 - 17685*v + 70758*v - 17698*v.
8*v**3
Collect the terms in -25*a**3 + 12484209*a - 12484209*a + 10*a**3.
-15*a**3
Collect the terms in -544*r**3 + 1101*r**3 + 891251*r**2 - 891251*r**2 - 549*r**3.
8*r**3
Collect the terms in 4331*m**2 + 27 - 27 - 811*m**2.
3520*m**2
Collect the terms in 259*f**2 + 9124495480 - 9124495480.
259*f**2
Collect the terms in -41 - 592022*j**2 + 10 + 591907*j**2.
-115*j**2 - 31
Collect the terms in -1011*j - 1561*j + 390*j.
-2182*j
Collect the terms in -211*p**2 - 210*p**2 + 643*p**2 - 216*p**2.
6*p**2
Collect the terms in 56258*t**2 + 56245*t**2 + 56246*t**2 - 281243*t**2 + 56245*t**2 + 56253*t**2.
4*t**2
Collect the terms in 10*w**2 + 3346 + 4645 - 6*w**2 + 6591.
4*w**2 + 14582
Collect the terms in 589*t**2 - 1028*t**2 - 35*t**2 + 573*t**2.
99*t**2
Collect the terms in -145*v**3 - 136*v**3 - 56*v**3 - 123*v**3 + 333*v**3.
-127*v**3
Collect the terms in -166*y + 58*y + 53*y - 115*y**3 + 55*y.
-115*y**3
Collect the terms in -59199 + 59199 - 9*w - 10*w + 217*w.
198*w
Collect the terms in 0 + 0 + 69*o**2 + 107*o**2 + 105*o**2 - 268*o**2 - 9*o**2.
4*o**2
Collect the terms in -3 + 13*l**2 - 12 + 10 + 482*l.
13*l**2 + 482*l - 5
Collect the terms in 223*z**3 + 16672702496*z**2 - 16672702496*z**2.
223*z**3
Collect the terms in -1400*l - 1244*l + 2648*l.
4*l
Collect the terms in -2 - 46381*k**3 + 46498*k**3 + 2.
117*k**3
Collect the terms in -685137*m - 685383*m + 73*m**2 + 1370520*m.
73*m**2
Collect the terms in 673 + 12*c**3 - 673 + 2*c**3 + c**3 - 4*c**3.
11*c**3
Collect the terms in -b**2 + 15*b**2 - 10*b**2 + 410 - 410 - 14*b.
4*b**2 - 14*b
Collect the terms in 7462*u**2 + 7454*u**2 + 7474*u**2 + 7459*u**2 + 7456*u**2 - 44763*u**2 + 7459*u**2.
u**2
Collect the terms in -8186*w + 73 - 111 - 185.
-8186*w - 223
Collect the terms in -9289 - 108*c - 100*c + 320*c - 113*c.
-c - 9289
Collect the terms in -9739565*g + 23*g**3 - 138 + 21*g**3 + 9739565*g + 138.
44*g**3
Collect the terms in 9800*t - 14*t**3 - 3246*t - 3298*t - 3256*t.
-14*t**3
Collect the terms in -58*q**2 - 53*q**2 + 2006837*q + 172*q**2 - 58*q**2 - 2006838*q.
3*q**2 - q
Collect the terms in -p + 4 + 1 + 103*p**2 - 120*p**2 - 5 - 2*p.
-17*p**2 - 3*p
Collect the terms in 14*x + 25*x + 33*x - 115*x + 13*x.
-30*x
Collect the terms in -4*z - 155 - 40 + 863 - 149.
-4*z + 519
Collect the terms in s - 13918365*s**2 - 13918371*s**2 - s**3 + 4*s - 5*s + 27836736*s**2.
-s**3
Collect the terms in -1025*x**2 - 475*x**2 - 586*x**2 + 335*x**2 - 132*x**2.
-1883*x**2
Collect the terms in 8*n**2 + 4*n**2 + n + 9*n**2 - 124 + n**2 + n**2.
23*n**2 + n - 124
Collect the terms in 99580*t - 51505*t - 48058*t.
17*t
Collect the terms in -4 + 1 - 191156*l**3 - 191118*l**3 + 3 + 382352*l**3.
78*l**3
Collect the terms in -5*c - 15*c - 63 + 28*c - 7*c - 9*c + 9*c.
c - 63
Collect the terms in -2369*o**3 + 407*o**3 - 405*o**3 - 3749*o**3 + 913*o**3.
-5203*o**3
Collect the terms in 195466 + 195458 + 195433 - 586357 - 34*i**3.
-34*i**3
Collect the terms in 129*f**2 - 191*f**2 - 56*f**3 - 30*f**3 + 35*f**2 + 27*f**2.
-86*f**3
Collect the terms in 1318213182*g - 1318213182*g + 109*g**3.
109*g**3
Collect the terms in 817430 + 817419 + 817422 - 3269699 + 817428 - 3*k.
-3*k
Collect the terms in 1712817916 - 1712817916 - 5*v + 3*v + 68*v**3 + 2*v.
68*v**3
Collect the terms in 17 - 223702*m + 223702*m + 57*m**3.
57*m**3 + 17
Collect the terms in 3115 + 3116 - 7*g**3 - 9362 + 3131 - 12*g**3.
-19*g**3
Collect the terms in -1587845964*x**2 - 52 + 1587845964*x**2 + 3*x**3 + 70.
3*x**3 + 18
Collect the terms in u - 147 + 7*u**3 + u**2 + 3*u**2 + u - 2449.
7*u**3 + 4*u**2 + 2*u - 2596
Collect the terms in -2519*t - 126*t**2 + 205*t**2 + 2 - 901*t.
79*t**2 - 3420*t + 2
Collect the terms in 2487*q**3 + 20 + 27 - 2497*q**3 - 34.
-10*q**3 + 13
Collect the terms in -173413 - 2*v**2 + 173413 - 3829*v.
-2*v**2 - 3829*v
Collect the terms in -43390*q - 116683*q - 285421*q - 3*q**3 + 50087*q.
-3*q**3 - 395407*q
Collect the terms in 33200*c - 3360*c - 84 + 84.
29840*c
Collect the terms in 159684*t**3 - 18 - 79842*t**3 - 79843*t**3.
-t**3 - 18
Collect the terms in 0*p + 0*p - 9465 + 5194 + 309*p**3 + 4271.
309*p**3
Collect the terms in -2*l - 23*l - 2*l - 38 + 72*l.
45*l - 38
Collect the terms in 7046 - 7046 - 758*j + 388*j + 380*j.
10*j
Collect the terms in 20*k - 286*k**2 + 50*k + 222*k**2 - 35*k.
-64*k**2 + 35*k
Collect the terms in -88*z**3 - 86*z**3 - 81*z**3 - 65*z**2 - 89*z**3 + 345*z**3 + 1.
z**3 - 65*z**2 + 1
Collect the terms in 5045*u**3 + 5223*u**3 + 5090*u**3 - 15178*u**3.
180*u**3
Collect the terms in -115*p**3 - 130*p**3 - 135*p**3 + 0 + 0 + 501*p**3 - 131*p**3.
-10*p**3
Collect the terms in -19527*y**2 - 139*y**3 - 17719*y**2 + 37246*y**2.
-139*y**3
Collect the terms in -159139*p - 2 - 202521*p + 2.
-361660*p
Collect the terms in 2983*a**3 - 1504*a**3 - 479*a**3 - 519*a**3 - 484*a**3.
-3*a**3
Collect the terms in -62*b + 2*b**2 + 44*b**3 - 20*b**3 - 22*b**3.
2*b**3 + 2*b**2 - 62*b
Collect the terms in 97*c - 55*c - 45*c + 224*c**2.
224*c**2 - 3*c
Collect the terms in l**2 + 378369 - 94590 - 94595 - 94588 - 94596.
l**2
Collect the terms in 3264*x**3 - 3859*x**3 + 588*x**3.
-7*x**3
Collect the terms in 405*d**2 - 469*d**2 - 266*d**2 - 249*d**2.
-579*d**2
Collect the terms in 6444*c**2 - 1074 + 0*c + c - c - 6454*c**2
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose 78*r = 76*r. Let f = -27 - -7. What is the remainder when (r - 9*-9)*f/(-30) is divided by 14?
12
Let n(v) = v**3 + 3*v**2 + 3. Let o be n(-3). Suppose 2*i - z - 541 = 0, -2*i = i - o*z - 819. What is the remainder when i is divided by 30?
28
Suppose -3*x - 15 = 0, t + 79 = 5*t - 3*x. Let n = 40 - t. Suppose 25*g - 13 = n*g. What is the remainder when g is divided by 5?
3
Suppose -4*z - 74 = -f, -5*f + 649 = -4*z + 247. What is the remainder when 314 is divided by f?
68
Suppose -281*l + 243200 = 194*l. What is the remainder when l is divided by 16?
0
Calculate the remainder when (-1)/(-2 - 5) + (-54)/(-14) is divided by 1081/282 + (-1)/(-6).
0
Let j(s) = 5*s + 32. Let a(x) = -x**2 - 2. Let g be a(-2). Let p be j(g). Calculate the remainder when (1/2)/(p/376) is divided by 24.
22
Let d be 3/(((-27)/(-666))/(-1)). Calculate the remainder when 45 is divided by (10/3 + -2)/(d/(-666)).
9
Let d = 488 - 473. Suppose d*b - r - 13 = 14*b, 57 = 5*b - 3*r. Calculate the remainder when 21 is divided by b.
3
Let v(k) = -5*k**2 + 23*k + 1. Let p(s) = 24*s + 9*s**2 - 53*s - 3 - 15*s. Let r(l) = 4*p(l) + 7*v(l). What is the remainder when 42 is divided by r(16)?
9
Suppose 2*q = -i + 1, 3*q - 5 = -2*i - 1. What is the remainder when 3*507/(-18)*q is divided by 93?
76
Let y = 8 - -94. Suppose t - 78 = -2*t. Suppose 7*p - 6*p = t. Calculate the remainder when y is divided by p.
24
Let l(o) = -o**3 - 23*o**2 - 40*o + 47. Let u be l(-21). Suppose 4*j - 140 = -u*s, s - 4 = -j + 25. What is the remainder when 307 is divided by s?
19
Suppose -25*j - 14 = -27*j. Suppose -2*o + 4 = 0, -5*c = 5*o - o - 78. Calculate the remainder when c is divided by j.
0
Let w(k) = 4*k**2 + 278*k - 2449. Calculate the remainder when w(9) is divided by 107.
56
Let l(g) = 5*g + 28. Let b(q) = -q + 15. Let t be b(-2). What is the remainder when l(t) is divided by 4?
1
Suppose -2*u + 11 + 41 = 0. Let v = 81 - -20. Calculate the remainder when v is divided by u.
23
Suppose 3*h = 2*s - 199, 28*h = s + 25*h - 92. Suppose 0 = -90*o + s*o - 374. What is the remainder when 87 is divided by o?
21
Let y = -184 - -187. Suppose x + 1 = -3*o, y*x - 21 = -o - 0*o. What is the remainder when 27 is divided by x?
3
Suppose -45*v + 44*v + n + 1684 = 0, 0 = -4*v - 2*n + 6724. What is the remainder when v is divided by 38?
10
Let r = 11074 + -10919. Calculate the remainder when 360 is divided by r.
50
Let i(m) = m**2 - 5*m + 1. Let n be i(4). Let b(w) = -2*w**3 - 4*w**2 - 3*w - 3. Let p(z) = -28*z + 65. What is the remainder when b(n) is divided by p(2)?
6
Let m = 1509 - 1493. Let o = -375 + 532. Calculate the remainder when o is divided by m.
13
What is the remainder when -56*((-26)/(-52) - 18) is divided by 156?
44
Let k = 111 + -94. Suppose -3*j - 504 = 3*f, 0 = f + 4*j + 58 + 104. Let l = -20 - f. Calculate the remainder when l is divided by k.
14
Let s = 2648 + -2645. Let x be (-4)/14 + 16/7. Suppose s*q + 2*p - 52 = 0, x*p - 56 = -3*q - 2*p. Calculate the remainder when 29 is divided by q.
13
Let d be ((-150)/(-4))/((39/3)/(-156)). Let z = -346 - d. What is the remainder when 622 is divided by z?
102
Let s(q) = 2*q**2 - q + 10. Suppose -500 = b - 11*b. Let r = b - 46. What is the remainder when s(r) is divided by 10?
8
Let b(d) = -d**3 - 18*d**2 + 18*d - 8. Let i be b(-19). Calculate the remainder when (4 + i/(-3))/(2/90) is divided by 5.
0
Let u = -57 - -109. Suppose -4*t - 145 = 2*i - 129, 0 = -3*i - 4*t - 4. What is the remainder when u is divided by i?
4
Suppose 8*j = -j + 1080. Let a = j - -258. What is the remainder when a is divided by 20?
18
Let y = 3128 - 2270. Calculate the remainder when y is divided by 84.
18
Let h = 407 + -347. Suppose -2*k + 64 = 3*l - 4, 2*k - h = -l. What is the remainder when k is divided by 5?
3
Let p(s) = s**3 + 11*s**2 - 10*s - 9. Calculate the remainder when 329 is divided by p(-11).
26
Let r(i) = 46*i + 463. What is the remainder when 202 is divided by r(-7)?
61
Suppose -11*i = -i - 230. Let j(v) = -v**3 + 22*v**2 + 25*v - 25. Calculate the remainder when j(i) is divided by 744/60 + (-2 - 8/(-5)).
9
Suppose 0 = 6*i - 36. Let r be (9 - 3)/(((-27)/i)/(-3)). What is the remainder when 19 is divided by (r/(-2) - -3)/(24/168)?
5
Suppose 528 = m + 2*i, -2*i = 4*m - 1970 - 124. What is the remainder when 1049 is divided by m?
5
Let x be ((-120)/18)/(-10) - (-76)/3. Let g = 73 + x. Let v(s) = 6*s - 5. Calculate the remainder when g is divided by v(5).
24
Let n = -38 - -46. Suppose 4*d + n = 12. What is the remainder when 1 is divided by d?
0
Let s = -1384 - -1454. Calculate the remainder when 290 is divided by s.
10
Suppose 2*n - 89 = 32*y - 57*y, 0 = 5*n - 2*y - 287. Calculate the remainder when 1584 is divided by n.
45
What is the remainder when 98 is divided by (-4)/((-12)/9)*(-1400)/(-168)?
23
Let c = 58 - 56. Let v(a) = -a**2 - 7*a - 27. Let i(o) = 3*o**2 + 13*o + 53. Let u(n) = c*i(n) + 5*v(n). What is the remainder when 7 is divided by u(12)?
0
Let s(r) be the first derivative of r**2/2 - 11. Let d be s(-2). What is the remainder when 185 is divided by 3 - (16/20 - d)*-10?
30
Suppose 0 = -4*c + 16, -96*b = -101*b + 3*c + 1128. What is the remainder when b is divided by 10?
8
Suppose -979 - 2041 = -116*h - 4. Calculate the remainder when 6/(-21) + (-716)/(-7) is divided by h.
24
Let u(d) = 18*d**2 - 21*d - 241. Calculate the remainder when u(-9) is divided by 29.
14
Let k(w) = 26*w**2 - 86*w + 292. What is the remainder when k(4) is divided by 349?
15
Let v(l) = -l**2 - 2*l - 1. Let m(f) = 7*f**3 - 7*f**2 + 3*f - 6. Let q(w) = m(w) - 5*v(w). Calculate the remainder when q(3) is divided by 5.
4
Let j be (2/1 - (-9 + 9)) + 0. Suppose -w = j*w - 54. Let u(h) = 51*h. Calculate the remainder when u(1) is divided by w.
15
Suppose 4*k = d - 696, 3*d - 5*k = d + 1398. What is the remainder when d is divided by 15?
14
Let l = 678 - 1080. Let s = -337 - l. Calculate the remainder when s is divided by 36 - 1/(-1)*-2.
31
Let w = 32 + -9. What is the remainder when 80*1 + (37 - 29) is divided by w?
19
Let l be ((-14)/63 - 22/(-18)) + -43. Let o(z) = z**3 + 15*z**2 + 15*z + 26. Calculate the remainder when o(-14) is divided by (l/28)/(4/((-80)/6)).
2
Let h(u) = 4*u**2 + 7*u + 555. What is the remainder when h(0) is divided by 212?
131
Let i = -3321 + 3776. What is the remainder when i is divided by 33?
26
Suppose 0 = -18*x - 12*x + x + 1508. What is the remainder when 4883 is divided by x?
47
Let g = -9 + 9. Suppose -5*b - 34 - 171 = g. Let f = 56 + b. Calculate the remainder when 56 is divided by f.
11
Let q = -64 - -73. Let v(x) = -x - 20 + x**3 + q + 4*x**2 + 4. What is the remainder when v(-3) is divided by 3?
2
Suppose -3*t + 583 = u, 2*u = t - 48 - 151. Let h(f) = -17*f + 771. What is the remainder when t is divided by h(45)?
3
Calculate the remainder when 34 - ((-32)/(-4) - 24)/2 is divided by 16.
10
Suppose 0 = -8*m + 13998 - 9846. Calculate the remainder when m is divided by 52.
51
Suppose 5*r + 3*n = n + 676, -5*n = -2*r + 253. What is the remainder when 308 is divided by r?
40
Let p = 17159 - 16894. What is the remainder when 1048 is divided by p?
253
Calculate the remainder when 1*19 + (846 - 140) is divided by 125.
100
Let m be (0 - -1)/(-1) + -3. Suppose 65*y = 89*y + 528. Let j = m - y. What is the remainder when 31 is divided by j?
13
Let m(u) = 460 - 209 + u**2 - 199 + 4*u. Suppose -3*x = -x. What is the remainder when m(x) is divided by 14?
10
Let l = 23037 + -21386. What is the remainder when l is divided by 59?
58
Let v be (-1)/(105/(-55) - 6/(-3)). Calculate the remainder when 5*(2/15)/(v/(-99)) is divided by 2.
0
Suppose -4*i = 3*n - 371, -629 = -5*n + 4*i - 0*i. Suppose -11*q = -n - 62. Suppose -100 = -q*y + 53. Calculate the remainder when 26 is divided by y.
8
Let t(j) be the first derivative of j**3/3 + j**2 - 9*j - 3. Let n(u) = 2*u**2 + 20*u - 75. Let p be n(-13). What is the remainder when 10 is divided by t(p)?
4
Suppose -122*l + 95*l = -162. What is the remainder when 2/(-1) + (-2 - -15) is divided by l?
5
Let a(n) = 6*n**2 - 5*n + 3. Calculate the remainder when a(3) is divided by (-14752)/(-1383)*(-6)/(-4).
10
Let v = -51 - -55. Suppose -v*y = -y - 15, 2*c - y - 47 = 0. What is the remainder when c is divided by 10?
6
Let o be (869/33)
|
{
"pile_set_name": "DM Mathematics"
}
|
jlrsmlrmssrrrjrsrrrs?
1/228
What is prob of picking 1 o and 1 h when two letters picked without replacement from huuohuuhuutuutuouhu?
8/171
Two letters picked without replacement from arjrraajjjajjrjaajj. Give prob of picking 2 j.
4/19
Calculate prob of picking 2 q when two letters picked without replacement from kkcqqkqddd.
1/15
Calculate prob of picking 1 z and 1 m when two letters picked without replacement from mmkzzkzkjmkkm.
2/13
Four letters picked without replacement from kkktmtkkmm. What is prob of picking 1 t and 3 k?
2/21
Three letters picked without replacement from {j: 5, v: 15}. What is prob of picking 1 v and 2 j?
5/38
Two letters picked without replacement from niinnniu. Give prob of picking 2 i.
3/28
Two letters picked without replacement from nszoszzzoowwnnotnnn. What is prob of picking 2 w?
1/171
Three letters picked without replacement from wwhwhow. Give prob of picking 3 w.
4/35
Two letters picked without replacement from {f: 2, n: 1, i: 2}. What is prob of picking 1 n and 1 f?
1/5
What is prob of picking 3 j and 1 o when four letters picked without replacement from joojojjjoojjoooojoj?
70/323
What is prob of picking 1 z, 1 w, and 2 v when four letters picked without replacement from zvwbvw?
2/15
Two letters picked without replacement from {z: 1, e: 3, q: 4, i: 3, d: 5, j: 4}. What is prob of picking 1 j and 1 d?
2/19
What is prob of picking 1 p and 1 d when two letters picked without replacement from pedpepydudpp?
5/22
Two letters picked without replacement from homhloomomboolmommh. Give prob of picking 2 l.
1/171
Three letters picked without replacement from cbgfbbbfuff. What is prob of picking 1 u, 1 b, and 1 c?
4/165
Three letters picked without replacement from mbggraabag. What is prob of picking 2 a and 1 r?
1/40
Calculate prob of picking 1 z, 1 d, and 1 n when three letters picked without replacement from dhznx.
1/10
What is prob of picking 1 k, 1 c, and 1 u when three letters picked without replacement from {s: 2, c: 2, n: 5, k: 1, u: 10}?
1/57
Two letters picked without replacement from {s: 3, o: 15}. What is prob of picking 2 o?
35/51
Calculate prob of picking 1 p, 2 e, and 1 c when four letters picked without replacement from {r: 1, e: 7, p: 6, c: 5}.
105/646
Three letters picked without replacement from yszwysy. What is prob of picking 1 w and 2 y?
3/35
Calculate prob of picking 1 o and 1 u when two letters picked without replacement from {o: 5, u: 5, i: 4, b: 1, z: 1}.
5/24
Three letters picked without replacement from {f: 1, o: 1, q: 1, g: 2}. What is prob of picking 1 o, 1 g, and 1 q?
1/5
Three letters picked without replacement from {s: 1, o: 1, i: 1, b: 1, g: 1}. Give prob of picking 1 o, 1 s, and 1 b.
1/10
Calculate prob of picking 4 g when four letters picked without replacement from {l: 2, g: 7}.
5/18
What is prob of picking 1 f and 1 g when two letters picked without replacement from gggffffu?
3/7
Four letters picked without replacement from {i: 9, a: 11}. Give prob of picking 3 a and 1 i.
99/323
Two letters picked without replacement from {b: 1, y: 14}. Give prob of picking 2 y.
13/15
Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {p: 1, w: 3, q: 3, e: 5, l: 4, m: 1}.
3/34
Two letters picked without replacement from {o: 4, t: 10, g: 4, u: 1}. What is prob of picking 2 o?
2/57
What is prob of picking 1 p, 1 b, and 1 i when three letters picked without replacement from {b: 4, i: 1, e: 3, p: 1, h: 4}?
2/143
Calculate prob of picking 1 c and 2 j when three letters picked without replacement from {c: 2, j: 7, g: 2}.
14/55
Calculate prob of picking 1 d and 2 b when three letters picked without replacement from bbddbdb.
18/35
Two letters picked without replacement from nnnnnqnllnqnn. What is prob of picking 2 q?
1/78
Two letters picked without replacement from {x: 9, b: 3, m: 4, r: 4}. What is prob of picking 1 x and 1 b?
27/190
Three letters picked without replacement from {u: 10, c: 1, x: 8}. What is prob of picking 2 x and 1 u?
280/969
What is prob of picking 1 t and 2 f when three letters picked without replacement from fjffjftfifftf?
28/143
What is prob of picking 4 j when four letters picked without replacement from jjjjj?
1
Calculate prob of picking 1 r, 1 f, and 2 m when four letters picked without replacement from {r: 3, m: 6, q: 2, f: 2}.
18/143
Three letters picked without replacement from {i: 1, h: 12, l: 3, v: 1, z: 1, b: 1}. Give prob of picking 3 l.
1/969
Four letters picked without replacement from {m: 5, y: 13}. What is prob of picking 4 m?
1/612
What is prob of picking 2 n when two letters picked without replacement from mhpmxphmpnhmmnxxnhvx?
3/190
Calculate prob of picking 1 q and 1 z when two letters picked without replacement from xqcxzc.
1/15
Calculate prob of picking 2 v when two letters picked without replacement from {x: 3, v: 3, g: 1, a: 6, b: 1, c: 1}.
1/35
Four letters picked without replacement from {v: 4, q: 6}. Give prob of picking 4 v.
1/210
Three letters picked without replacement from {t: 3, b: 2}. Give prob of picking 2 b and 1 t.
3/10
Two letters picked without replacement from {q: 7, t: 1, v: 3, d: 3}. What is prob of picking 1 t and 1 v?
3/91
Calculate prob of picking 1 t and 2 e when three letters picked without replacement from {w: 1, t: 8, e: 8}.
28/85
Calculate prob of picking 1 k and 3 r when four letters picked without replacement from {k: 2, e: 1, p: 2, r: 4, s: 1, l: 2}.
8/495
Two letters picked without replacement from {w: 2, q: 3, z: 1, d: 1, v: 4}. What is prob of picking 2 w?
1/55
Three letters picked without replacement from tuujtwuzuujttpu. What is prob of picking 1 z and 2 j?
1/455
What is prob of picking 1 k and 2 e when three letters picked without replacement from {k: 8, e: 3}?
8/55
What is prob of picking 1 f and 1 d when two letters picked without replacement from {d: 1, f: 2, b: 3, l: 3, t: 1, x: 3}?
1/39
Four letters picked without replacement from {p: 1, s: 11, q: 8}. Give prob of picking 4 q.
14/969
Two letters picked without replacement from mwsarmm. What is prob of picking 1 a and 1 s?
1/21
Three letters picked without replacement from iksikik. What is prob of picking 1 i and 2 k?
9/35
What is prob of picking 3 h and 1 n when four letters picked without replacement from hznhhhhhhhhhhhzz?
11/91
Two letters picked without replacement from {z: 5, o: 5, p: 2}. Give prob of picking 1 p and 1 o.
5/33
Calculate prob of picking 1 s and 1 p when two letters picked without replacement from twysp.
1/10
Four letters picked without replacement from {a: 5, y: 5}. Give prob of picking 4 y.
1/42
What is prob of picking 2 h when two letters picked without replacement from {u: 1, o: 3, r: 10, h: 4}?
2/51
Four letters picked without replacement from hhnzzzzhxhxhznzhxxn. Give prob of picking 1 z and 3 n.
1/646
Three letters picked without replacement from {s: 3, n: 4, k: 1, b: 7, d: 4}. What is prob of picking 1 b and 2 s?
7/323
What is prob of picking 4 c when four letters picked without replacement from cccc?
1
What is prob of picking 1 y and 1 p when two letters picked without replacement from ppyppyp?
10/21
Calculate prob of picking 2 s when two letters picked without replacement from jsjjjwjoosjsjjooowwj.
3/190
What is prob of picking 1 j, 1 s, and 1 o when three letters picked without replacement from qoossqjqjqj?
4/55
Calculate prob of picking 2 r and 1 w when three letters picked without replacement from {x: 8, r: 9, w: 2}.
24/323
Two letters picked without replacement from eeeeeeeeaaee. Give prob of picking 2 e.
15/22
What is prob of picking 1 p and 1 s when two letters picked without replacement from {s: 7, p: 1}?
1/4
Two letters picked without replacement from pepppepeeeedeppeepee. What is prob of picking 1 p and 1 e?
44/95
Three letters picked without replacement from {b: 9, t: 7}. Give prob of picking 1 b and 2 t.
27/80
Three letters picked without replacement from {k: 1, n: 2, h: 4}. What is prob of picking 1 k and 2 n?
1/35
Four letters picked without replacement from {s: 7, q: 5}. Give prob of picking 1 q and 3 s.
35/99
Two letters picked without replacement from {t: 1, o: 1, i: 3, h: 1, m: 1}. What is prob of picking 2 i?
1/7
Calculate prob of picking 1 x and 1 h when two letters picked without replaceme
|
{
"pile_set_name": "DM Mathematics"
}
|
213, 1894663
What are the prime factors of 221315132?
2, 55328783
List the prime factors of 162785448.
2, 3, 7, 46141
What are the prime factors of 1318665941?
31, 73, 18797
List the prime factors of 13965650.
2, 5, 37, 7549
List the prime factors of 71606757.
3, 23868919
What are the prime factors of 200726671?
9161, 21911
List the prime factors of 3596876554.
2, 29, 3041, 20393
What are the prime factors of 44920692?
2, 3, 1247797
List the prime factors of 344631938.
2, 7, 24616567
What are the prime factors of 68797383?
3, 22932461
What are the prime factors of 2065290506?
2, 29, 35608457
What are the prime factors of 103937648?
2, 293, 22171
What are the prime factors of 944496878?
2, 13, 19, 1911937
List the prime factors of 52090189.
1063, 49003
List the prime factors of 74339810.
2, 5, 17, 437293
List the prime factors of 335265824.
2, 103, 101719
What are the prime factors of 4649125004?
2, 61, 19053791
List the prime factors of 843800678.
2, 7, 17, 19, 23, 61
What are the prime factors of 6925446?
2, 3, 11, 89, 131
List the prime factors of 47922978.
2, 3, 19, 163, 2579
List the prime factors of 3968352716.
2, 992088179
What are the prime factors of 477846663?
3, 7, 22754603
List the prime factors of 88184024.
2, 23, 37, 12953
What are the prime factors of 4311824358?
2, 3, 718637393
List the prime factors of 27417483.
3, 53, 229, 251
What are the prime factors of 102417622?
2, 17, 3012283
What are the prime factors of 207907070?
2, 5, 7, 37, 80273
List the prime factors of 44551042.
2, 22275521
What are the prime factors of 26577782?
2, 7, 11, 172583
List the prime factors of 2481073578.
2, 3, 15315269
List the prime factors of 764150438.
2, 8069, 47351
What are the prime factors of 50935126?
2, 11, 2315233
What are the prime factors of 103302150?
2, 3, 5, 7, 37, 2659
List the prime factors of 106531357.
331, 321847
List the prime factors of 148637010.
2, 3, 5, 571, 8677
List the prime factors of 7165306599.
3, 11, 127, 1709689
List the prime factors of 5292094486.
2, 7, 378006749
What are the prime factors of 523365197?
1801, 290597
List the prime factors of 95685416.
2, 149, 80273
What are the prime factors of 4164400652?
2, 563, 1849201
What are the prime factors of 157409965?
5, 19, 1656947
List the prime factors of 175982859.
3, 13, 521, 2887
List the prime factors of 189004262.
2, 503, 187877
What are the prime factors of 5152339760?
2, 5, 1481, 43487
What are the prime factors of 127539051?
3, 42513017
What are the prime factors of 564991555?
5, 112998311
What are the prime factors of 135056915?
5, 7, 29, 271, 491
List the prime factors of 1050821741.
271, 3877571
List the prime factors of 7418642.
2, 7, 11, 67, 719
What are the prime factors of 1587580200?
2, 3, 5, 103, 8563
What are the prime factors of 126546075?
3, 5, 562427
List the prime factors of 43389317.
229, 189473
List the prime factors of 3351649881.
3, 53, 1129, 18671
What are the prime factors of 2841652821?
3, 7, 107, 1264643
What are the prime factors of 205748719?
11, 2591, 7219
List the prime factors of 2125804698.
2, 3, 3019, 39119
List the prime factors of 9303810611.
9303810611
List the prime factors of 3460519270.
2, 5, 13, 26619379
List the prime factors of 3004045798.
2, 13, 9241, 12503
What are the prime factors of 2794961609?
11, 257, 773, 1279
List the prime factors of 51907732.
2, 17, 763349
What are the prime factors of 148803405?
3, 5, 1753, 5659
What are the prime factors of 3394347147?
3, 125716561
List the prime factors of 124016246.
2, 97, 639259
What are the prime factors of 33195851?
13, 2553527
List the prime factors of 26122524.
2, 3, 2176877
What are the prime factors of 24416041?
13, 23, 37, 2207
List the prime factors of 407248829.
13, 31, 43, 71, 331
List the prime factors of 55909071.
3, 29, 214211
What are the prime factors of 887383636?
2, 221845909
List the prime factors of 539294864.
2, 33705929
What are the prime factors of 304425671?
11, 3407, 8123
What are the prime factors of 35790505?
5, 127, 157, 359
What are the prime factors of 873761982?
2, 3, 145626997
List the prime factors of 6334576.
2, 523, 757
What are the prime factors of 81621367?
59, 191, 7243
List the prime factors of 7244962856.
2, 905620357
List the prime factors of 14616262.
2, 1459, 5009
What are the prime factors of 152194872?
2, 3, 31, 204563
What are the prime factors of 1827569273?
43, 103, 412637
What are the prime factors of 15668615?
5, 241, 13003
List the prime factors of 139089836.
2, 34772459
List the prime factors of 478019809.
478019809
List the prime factors of 86419717.
23, 181, 20759
List the prime factors of 14067648.
2, 3, 7, 1163
List the prime factors of 2513544433.
1871, 1343423
List the prime factors of 305162544.
2, 3, 71, 151, 593
List the prime factors of 184426952.
2, 23053369
What are the prime factors of 65192871?
3, 21730957
List the prime factors of 1515117352.
2, 7, 27055667
What are the prime factors of 164169225?
3, 5, 11, 113, 587
List the prime factors of 318866702.
2, 7, 11, 19, 9907
What are the prime factors of 21835162?
2, 10917581
List the prime factors of 147851206.
2, 8597, 8599
List the prime factors of 15236634.
2, 3, 7, 199, 1823
What are the prime factors of 717282862?
2, 89, 4029679
What are the prime factors of 433274351?
107, 4049293
What are the prime factors of 1078129571?
1078129571
What are the prime factors of 108227027?
1277, 84751
List the prime factors of 10491938.
2, 5245969
List the prime factors of 60673712.
2, 11, 59, 5843
What are the prime factors of 9629553?
3, 577, 5563
List the prime factors of 161166878.
2, 59, 1365821
List the prime factors of 92413635.
3, 5, 31, 353, 563
What are the prime factors of 68347972?
2, 7, 11, 221909
List the prime factors of 755819822.
2, 377909911
What are the prime factors of 66815029?
389, 171761
List the prime factors of 2870424650.
2, 5, 173, 331841
List the prime factors of 2143797220.
2, 5, 359, 298579
What are the prime factors of 12998347?
12998347
What are the prime factors of 234822135?
3, 5, 29, 193, 2797
What are the prime factors of 34304574?
2, 3, 1429, 4001
List the prime factors of 4108306243.
19289, 212987
What are the prime factors of 18093146?
2, 1039, 8707
List the prime factors of 45587925.
3, 5, 202613
What are the prime factors of 100909512?
2, 3, 11, 103, 1237
List the prime factors of 294926618.
2, 7, 21066187
What are the prime factors of 85097556?
2, 3, 1291, 1831
What are the prime factors of 78459824?
2, 149, 32911
What are the prime factors of 67106832?
2, 3, 13, 41, 43, 61
List the prime factors of 54632923.
19, 2875417
List the prime factors of 35293838.
2, 97, 181927
List the prime factors of 860431321.
19, 71, 637829
List the prime factors of 85660625.
5, 23, 59, 101
What are the prime factors of 311443152?
2, 3, 43, 150893
List the prime factors of 2638716895.
5, 527743379
List the prime factors of 951322395.
3, 5, 63421493
What are the prime factors of 928950026?
2, 464475013
What are the prime factors of 32713045?
5, 6542609
List the prime factors of 47238304.
2, 953, 1549
List the prime factors of 199220610.
2, 3, 5, 6640687
List the prime factors of 4014913880.
2, 5, 100372847
List the prime factors of 608418481.
11, 43, 359, 3583
What are the prime factors of 2662087789?
149, 3853, 4637
What are the prime factors of 101686601?
41, 2480161
List the prime factors of 1202910235.
5, 19, 23, 550531
List the prime factors of 212515779.
3, 7, 19, 532621
List the prime factors of 1261376207.
7, 13, 919, 15083
What are the prime factors of 3213362?
2, 1606681
What are the prime factors of 525822425?
5, 21032897
What are the prime factors of 2197141519?
67, 2909, 11273
What are the prime factors of 467147212?
2, 7, 16683829
List the prime factors of 72212276.
2, 173, 241, 433
List the prime factors of 6488035775.
5, 13, 41, 486907
What are the prime factors of 76106452?
2, 19026613
List the prime factors of 694925153.
13, 877, 60953
List the prime factors of 1215447639.
3, 7, 57878459
List the prime factors of 16129383.
3, 5376461
What are the prime factors of 75679643?
13, 5821511
What are the prime factors of 1012464343?
11, 19, 4844327
List the prime factors of 1316834591.
83, 15865477
What are the prime factors of 212968281
|
{
"pile_set_name": "DM Mathematics"
}
|
value of 2*2/(-60)*3?
-1/5
Calculate ((-4)/(-10))/(234/(-195)).
-1/3
Evaluate 5/(-6)*(-1)/(10/3).
1/4
What is the value of (21/(-3)*-1)/(-1)?
-7
Evaluate (-1)/((((-5)/(-1))/(-5))/(-2)).
-2
Evaluate (4/48*-5)/(30/(-12)).
1/6
What is the value of -6*(-1)/6*-1?
-1
What is the value of (2/(-10))/(12/15)?
-1/4
Evaluate -12*4/(-12)*7/(-21).
-4/3
Calculate ((-25)/(-10)*1)/(-2).
-5/4
Evaluate (13/((-39)/21))/(-1).
7
Evaluate ((-9)/((-27)/2))/(1/(-3)).
-2
Evaluate (1*4/(-24))/(1/(-8)).
4/3
What is ((-1)/(-13))/(-16*(-9)/144)?
1/13
What is 12/(-46)*(-1)/((-6)/(-2))?
2/23
What is 16/48*0/2?
0
What is the value of ((-27)/36)/(1/4)?
-3
((-6)/(-7))/((-6)/112*12)
-4/3
Evaluate ((-48)/27)/(-16)*3.
1/3
Evaluate (1/(-3))/((-6)/(-6)).
-1/3
Evaluate (-9)/(-2)*2/(8*-3).
-3/8
Calculate 4/(-81)*165/(-110).
2/27
Evaluate (5/(-20)*-2)/(7/56).
4
Calculate ((-24)/(-96))/((-2)/(-8)*3).
1/3
(-27)/6*4*(-12)/(-36)
-6
Calculate 1/(1*(-1)/6).
-6
((-4)/(-16)*-3)/3
-1/4
Calculate 5/20*-1*1.
-1/4
What is the value of ((2/8)/(-1))/((-1)/(-12))?
-3
What is ((0/4)/((-3)/(-3)))/(-1)?
0
((-6)/(-25))/(42/70)
2/5
What is the value of (-10)/6*1*2/5?
-2/3
What is (8/14)/(202/(-2121))?
-6
What is ((-4)/(-28))/(9/36)?
4/7
Evaluate ((-2)/6)/(26/(-468)).
6
What is the value of ((-1)/(-7))/((-9)/18)?
-2/7
Calculate ((-6)/(-36))/(-2*35/40).
-2/21
What is the value of ((-1)/1)/(-4*2/64)?
8
((-6)/(-10))/((-27)/18)
-2/5
Calculate -18*1*7/(14/1).
-9
Calculate (-13)/78*-6*(-1)/5.
-1/5
Evaluate (-18)/(-12)*9/(135/(-10)).
-1
(1/(40/6))/((-468)/390)
-1/8
Evaluate 0/((-21)/(-21)*1/1).
0
(-110)/165*27/30
-3/5
What is the value of (-10)/5*1/2*5?
-5
(47/(-282))/(6/4)
-1/9
Calculate (-3*(-8)/18)/(1/(-3)).
-4
Calculate ((-56)/84)/((12/3)/4).
-2/3
What is ((-12)/(-40)*5)/(18/8)?
2/3
3*2/(-12)*-16
8
What is the value of (2/(-9)*-3)/((-28)/(-210))?
5
What is (19/133)/(4/14)?
1/2
What is 2/(-6*(-4)/9)?
3/4
What is the value of ((16/(-7))/8)/((-5)/70)?
4
Calculate (-8)/(32/2)*10.
-5
(0*(-1)/5)/1
0
((-2)/(-4))/((198/484)/9)
11
Calculate (6/8)/((-15)/(-20)).
1
What is ((-1062)/(-432))/59*-2*1?
-1/12
What is -1*2*(-6)/138*-23?
-2
What is 18/(-120)*-8*(-15)/(-3)?
6
What is the value of (-6)/75*(-10)/(-2)?
-2/5
((-12)/4)/(-42)*4
2/7
What is 0*(-1)/(6/(-6))?
0
What is 16/(-6)*1/12?
-2/9
What is the value of ((-15)/(-6))/((119/(-14))/(-17))?
5
((-2)/(-6))/(38/57)
1/2
What is ((15/6)/(-1))/(16/32)?
-5
Calculate ((1*8)/(-2))/(36/(-9)).
1
Calculate -4*-10*13/(-260).
-2
(-4)/(-1*2)*(-903)/301
-6
Evaluate ((-10)/(-15))/(6/(-36)).
-4
Evaluate (((-3264)/(-40))/(-34))/((-6)/10).
4
Evaluate ((20/6)/2)/((-44)/(-132)).
5
-1*1/(-2)*(-192)/(-24)
4
Evaluate -6*3*4/(-8).
9
Calculate ((-2)/(-6))/(8/120).
5
((-1)/(-2))/((234/(-24))/3)
-2/13
What is the value of ((-1)/2)/((-7)/(-56)*-1)?
4
What is the value of ((-2)/20)/((35/(-30))/(-7))?
-3/5
What is the value of (-8)/(-6)*(-162)/1836?
-2/17
What is the value of 336/(-144)*(-5)/(35/6)?
2
Calculate (-4)/(-64)*4*4.
1
(0/(-7))/(10/(-5))
0
What is (-14)/70*100/(-8)?
5/2
2/(((-57)/285)/(2/4))
-5
1088/(-476)*(-1)/4
4/7
What is the value of 3/36*(-18)/(24/4)?
-1/4
What is (((-20)/5)/(-4))/1?
1
Calculate (-12)/10*5/2.
-3
(18/(-15))/((-48)/(-160))
-4
What is the value of 6/12*3/12*-2?
-1/4
9/9*(-12)/(-54)*3
2/3
Evaluate 1/(1/(-3))*8/(-8).
3
What is the value of 8/(-6)*474/(-79)?
8
What is 8/8*3*15/(-9)?
-5
Evaluate ((-78)/(-52)*-1*2)/3.
-1
(1/2*-1)/((-780)/(-585))
-3/8
Calculate (1/(-5))/((-31)/62).
2/5
Evaluate (((-10)/(-4))/5)/((-22)/8).
-2/11
What is the value of (342/(-285))/(3/10)?
-4
Calculate ((-1323)/(-14))/21*2.
9
What is the value of (18/(-6))/((-6)/4)?
2
What is the value of 2/(-8)*0*2/(-12)?
0
Calculate ((-26)/520)/(6/45*3).
-1/8
Calculate ((-1)/(-3))/((-56)/96).
-4/7
(1/4)/(((-4)/4)/(-12))
3
What is (-3*2/20)/(33/154)?
-7/5
What is 13/117*-1*6/4?
-1/6
What is (2/(-16))/((-1326)/816)?
1/13
Calculate ((-2)/(-3)*-3)/12.
-1/6
Calculate ((-9)/9)/((-1)/6*2).
3
What is the value of ((-15)/(-5))/(1/(2/(-1)))?
-6
Calculate ((-8)/6)/(2/(-3)).
2
Evaluate ((-3)/(-25))/(((-54)/45)/(-6)).
3/5
Calculate 36/18*(-2)/(-10).
2/5
What is the value of (-210)/7*14/42?
-10
4/45*45/18
2/9
Evaluate 9*(-1)/(72/16).
-2
(1/(-2))/(((-81)/(-30))/(-27))
5
What is 2*(-2)/22*1?
-2/11
Evaluate ((-4)/(-8))/(-1)*4.
-2
1/((-1)/((-5)/(-5)))
-1
Evaluate 12/30*10/(-12).
-1/3
-6*(-10)/(-300)*0
0
What is the value of (16/28)/2*7?
2
What is 20/5*2/(-16)*2?
-1
What is the value of -5*2*2/4*-1?
5
Evaluate (2/6)/(33/11).
1/9
(-5)/(-1*8/8)
5
Calculate ((-3)/6)/((-97)/97).
1/2
Calculate (-7)/(140/(-16))*5/2.
2
(((-104)/(-91))/(-4))/(46/(-14))
2/23
(3/(-12))/(12/36)
-3/4
Evaluate (72/96)/(6/(-4))*10.
-5
(-2)/30*(-22)/(-11)
-2/15
(-7)/((-315)/25)*18/(-120)
-1/12
(9/(-5))/((-135)/225)
3
Evaluate 11/(-9)*-8*(-17)/(-748).
2/9
Evaluate (16/4)/(((-45)/(-6))/(-15)).
-8
What is ((-30)/(-75))/(9/(-15))?
-2/3
What is (4/(-14))/(36/(-42))?
1/3
What is (60/10)/((1/1)/(-1))?
-6
((-3)/(-28))/(-3)*4
-1/7
What is (99/385)/(-9)*-5?
1/7
What is the value of (0*(-3)/6)/2?
0
Evaluate (-96)/(-12)*(-6)/(-32).
3/2
What is the value of (2/(-8))/((-42)/(-840))?
-5
What is the value of (58/(-870))/((-2)/(-5))?
-1/6
What is the value of ((-3)/9)/(16/(-240))?
5
Calculate (-224)/(-280)*5/22.
2/11
Calculate (12/36)/((-6)/18).
-1
Evaluate (2/12)/((-7)/(252/(-8))).
3/4
What is -1*(25/100)/(15/12)?
-1/5
What is the value of ((-8)/(-6))/((-9)/((-135)/130))?
2/13
What is (1/(-2))/((136/48)/17)?
-3
What is (-35)/(-105)*3/(-4)?
-1/4
((-10)/15*3)/((-12)/(-2))
-1/3
What is ((24/(-45))/(4/10))/(-4)?
1/3
What is the value of ((-4)/6)/(((-160)/(-105))/(-16))?
7
2/21*7*(-6)/(-4)
1
1/(-4)*(-176)/(-77)
-4/7
What is the value of (-45)/(-5)*1/(-6)?
-3/2
Calculate ((-9)/12)/(7/4).
-3/7
What is the value of ((-36)/(-18))/(-1*(-2)/(-2))?
-2
What is the value of 0/2*((-65)/(-10))/13?
0
((-2)/2)/((-1)/(-6)*2)
-3
Evaluate (429/(-715))/(18/(-5)).
1/6
Calculate -4*36/240*-5.
3
Calculate 4*1*((-270)/15)/(-36).
2
What is ((-48)/15)/8*8/(-16)?
1/5
Calculate (6/(-4))/(15/(2/2)).
-1/10
What is 12/(-1)*(-1)/9?
4/3
What is 7/4*(-30)/(-315)*-6?
-1
What is (4/(-10))/((-110)/(-550))?
-2
(-7)/(21*-3)*3/1
1/3
Calculate ((-2)/40*6)/((-3)/(-4)).
-2/5
Evaluate (2/28)/(34/(-68)).
-1/7
Calculate (-33)/22*(-1)/(6/1).
1/4
Evaluate (11/(-88))/(3/(36/(-2))).
3/4
(0/3)/(6/3)
0
What is the value of (1/((-95)/2))/(11/55)?
-2/19
Calculate (9/30)/(36/24).
1/5
What is (6/12)/(1*(-2)/12)?
-3
What is ((-6)/(-16))/((-2)/((-24)/18))?
1/4
Evaluate 2/(11/1*-1).
-2/11
(-2)/(8/(-6))*544/(-408)
-2
What is (((-2)/3)/((-40)/45))/(-1)?
-3/4
What is the value of ((-18)/405)/((-1)/(-9))?
-2/5
What is (-2)/(-8)*5/45*-6?
-1/6
Evaluate (-8)/10*600/(-80).
6
Calculate (-3)/((9/(-3))/(-3)).
-3
1/(-2)*13/(195/10)
-1/3
Evaluate (-11)/(330/(-12))*(-6)/4.
-3/5
What is the value of ((-9)/(297/(-22)))/(-1)?
-2/3
Calculate (6/(-8))/((-2037)/(-1552)).
-4/7
What is the value of 10*5*(-4)/60*3?
-10
Evaluate ((-7)/(-21))/(-3*(-10)/18).
1/5
(-305)/(-61)*(-3)/6
-5/2
(10/40)/(2/16*-3)
-2/3
(0/(-1))/((-3)/((-15)/(-5)))
0
1*-1*-1*88/22
4
Calculate (24/84*7/1)/8.
1/4
What is 2/(-6)*-1*(-192)/64?
-1
Calculate 2/12*1*(-1)/(-1).
1/6
Calculate (-10)/(-20)*(-4)/(-10).
1/5
(-24)/3*((-5)/2)/5
4
Evaluate (3/(6/2))/10.
1/10
What is 27/(-36)*(-16)/(-30)*-15?
6
What is (6/(-48)*2)/((-3)/2)?
1/6
What is the value of 3/((3/(-6))/1)?
-6
Evaluate 7/(-35)*2*3.
-6/5
(4/36)/(5/(-30))
-2/3
What is the value of (-231)/14*(-8)/12?
11
((-14)/(-58))/((-7)/(-2))
2/29
(((-2)/(-2))/1)/(27/54)
2
-4*4/(-56)*20/5
8/7
2/(8/6)*(-22)/(-55)
3/5
Calculate (24/(-10))/(84/210).
-6
Evaluate 330/(-33)*(-3)/18*-3.
-5
(10/(-25))/((-1)/(2/(-2)))
-2/5
What is -1*(-12)/(-9)*(-90)/(-1020)?
-2/17
What is the value of (-10)/4*33/(-110)?
3/4
Calculate (-26)/351*(-15)/5.
2/9
Calculate ((-36)/(-8))/(135/210).
7
What is the value of (-15)/(-18)*6*1?
5
What is the value of (3*1/4)/((-15)/(-20))?
1
2940/1568*2/(-5)
-3/4
What is the value of (30/5)/108*18/6?
1/6
Calculate ((-8)/12)/((-24)/(-18))*1.
-1/2
Calculate (-4)/14*126/(-90).
2/5
Calculate -4*(-6)/(-15)*(-25)/(-10).
-4
Evaluate 16/(-24)*3/(-2).
1
What is (2/5)/((-6)/30)?
-2
What is 8*(-7)/(-14)*-2?
-8
Calculate 2/(4/(-2))*(-10)/(-10).
-1
What is ((-36)/24)/((-2)/4*5)?
3/5
Calculate (2/(-3))/((-36)/(-81)).
-3/2
Calculate ((-1)/(-12))/(2/
|
{
"pile_set_name": "DM Mathematics"
}
|
lse
Let h = 40 - 21. Is h prime?
True
Suppose -5*o = -2218 - 1192. Suppose 124 = 2*s - o. Is s composite?
True
Let n = 153 + -72. Suppose 2*r - n = 25. Is r composite?
False
Suppose 7 - 1 = -3*i. Is 3/(3/i) + 13 a prime number?
True
Let o(y) = 26*y**2 - y. Let v be o(1). Suppose 128 = 3*t - v. Is t prime?
False
Let n be 4/6*(-297)/(-6). Suppose -k + 2*c = -5, -2*k - 5*c = 2*k - n. Is k composite?
False
Suppose 0 = -4*a - 6*i + i + 283, 0 = a + 5*i - 67. Suppose 0 = 2*p - a + 2. Is p a prime number?
False
Let h = -5 + 7. Suppose -4*c = h*d - 290, 0*d + 5*d = -5*c + 720. Is d a composite number?
True
Suppose 3*q + 4*z - 52 = -0*z, -3*q + 5*z = -16. Suppose -3*w + q = 3*u, -2*w + 2*u - 8 = -0*u. Suppose 3*j + j - 84 = w. Is j a composite number?
True
Let h be ((-1)/4)/((-2)/16). Suppose m + h + 0 = 0, 3*m - 28 = -i. Is i composite?
True
Is (-21)/14*6548/(-6) a prime number?
True
Suppose 0 = q - 3*q. Let y = 4 + q. Is y a prime number?
False
Is 2534/22 - 3*2/33 prime?
False
Suppose q = -2*v, 0*q + v - 14 = 3*q. Let z = 3 - q. Suppose 0 = 4*u - z*u + 273. Is u composite?
True
Is 98 - 10/15*6 prime?
False
Let u be 78/(-5)*1*-5. Let t = -29 + u. Is t composite?
True
Suppose -3*t + 1307 = -526. Is t composite?
True
Is 3/12 - ((-921)/12)/1 a composite number?
True
Suppose 2*g + 4*z + 196 = -22, g = 5*z - 74. Let r = 340 + g. Suppose 3*f + 4*c = 293, 3*f - 36 = 4*c + r. Is f prime?
False
Let s = 5669 + -1904. Suppose 0 = 5*c - x + 6*x - s, -1478 = -2*c + 5*x. Is c prime?
False
Suppose -5 = -0*r - r. Is 15099/35 + (-2)/r a composite number?
False
Let o(y) = -y**3 + 11*y**2 + 15*y + 1. Let c be o(12). Is 7/(-3)*c*-3 a prime number?
False
Let x(q) = -q**2 - 7*q - 1. Let g be x(-7). Let c(u) = -84*u + 1. Is c(g) prime?
False
Let g = 338 - -65. Let c = g - 216. Is c a prime number?
False
Let i = 24 + -12. Let w = i - -11. Let h = 36 - w. Is h a prime number?
True
Suppose k - 10 = -5*p + 5, 2*k - 14 = -2*p. Suppose i + p*i - 345 = 0. Is i composite?
True
Suppose -3*u = -492 - 387. Is u a composite number?
False
Let s = 511 - 249. Suppose -5*i + 353 = 4*t, i - s = -3*t - 0*i. Is t a prime number?
False
Let g = 230 - -129. Is g a composite number?
False
Let t = -116 + 225. Is t a prime number?
True
Suppose 3*u + 0*u - 15 = 0. Suppose u*h - 2*h = 0. Suppose -4*p - 440 = -8*p + 2*r, p - 4*r - 103 = h. Is p composite?
True
Suppose 0 = 3*c + 12, 4*h - 4 = -c - 0*c. Let y be (h + 1)*46/(-6). Let p = y + 81. Is p a prime number?
False
Suppose 5*n - 773 = 562. Let a = n + -170. Is a composite?
False
Let y(t) = -2*t**3 - t**2 + 4*t - 2. Let p be y(-4). Let z = p + -57. Is z prime?
True
Let k be (-2)/6 + 1/3. Suppose k = -4*y + 2*o + 226, 5*y + o + 3*o = 263. Is y a composite number?
True
Suppose -3*k + 4*k - 5 = -o, 2*k = 5*o + 17. Suppose k*f = 4*f. Suppose m - 2*s - 2 = f, 2*s + 0 = 4. Is m composite?
True
Let z be 3 + 1 + -2 - 0. Suppose -c - 84 = -z*c. Suppose -2*q = 5*r - 105, 5*r - r - c = 2*q. Is r a prime number?
False
Let k(m) = -m**3 + 4*m**2 + 5*m - 7. Is k(4) a prime number?
True
Let r(u) = 27*u - 1. Let w be r(1). Let a be (9/2)/(1/w). Suppose 4*z - z = a. Is z a composite number?
True
Let w = 14 - 23. Is ((-15)/w)/((-2)/(-18)) a prime number?
False
Let z(p) = 62*p**2 - 3*p - 1. Is z(-2) prime?
False
Let d(a) be the second derivative of a**7/840 - a**6/90 - a**5/20 - a**4/8 - a**3/3 - a. Let j(s) be the second derivative of d(s). Is j(6) prime?
False
Suppose -2*g + 3 = 5. Let f be 2/6 + g/3. Suppose 6*c - 2*c - 88 = f. Is c prime?
False
Let r be (-4)/(-14) - 180/(-7). Suppose -5*a = -2*o + r - 450, 0 = 4*a - 2*o - 338. Suppose -5*d = -2*q + a, -4*d = q - 0*q - 69. Is q a prime number?
True
Let w be -2*6/(-4) - 1. Suppose n = -2*m - 1, -5*m - n = w*n + 5. Suppose 4 = m*r - 66. Is r a composite number?
True
Suppose -4*w = 59 - 231. Suppose -h + w = u - 3, u + 3*h = 46. Is u a composite number?
True
Let q = -42 - -577. Is q prime?
False
Let j = 43 + -6. Is j a prime number?
True
Suppose 356 = -2*z + 4*z. Suppose 3*x + z = h, -652 = -4*h - 0*h - 3*x. Is h prime?
False
Let c(p) = -2 - 4 + p + 4. Let g be c(0). Is (1/g)/((-1)/74) prime?
True
Suppose 5*j = 43 - 8. Let x(r) = -r**3 + 7*r**2 + r - 4. Let h be x(j). Is 34 + (9 - h) + -3 composite?
False
Suppose -4010 = -3*f + 649. Is f composite?
False
Let s(m) = -12*m - 10. Let i be s(7). Let z = 159 + i. Is z a prime number?
False
Suppose -242 = -5*i + 193. Is i a composite number?
True
Let v be -1 + 1 - (3 - 88). Suppose -4*b + 5*b - v = 0. Is b a composite number?
True
Let k(w) = 2*w**3 - 2*w**2 + 7*w + 5. Suppose 5*v = 3*v - 12. Let l(x) = 5*x**3 - 4*x**2 + 15*x + 11. Let r(t) = v*l(t) + 13*k(t). Is r(-2) a prime number?
False
Let y(a) = a**2 + a. Let m be y(-1). Suppose 0 = -2*c + 13 - 5. Suppose -3*v + 2*l + 53 = m, c*v + 3*l - 82 = -0*l. Is v composite?
False
Is 28/(-14)*(-1498)/4 a composite number?
True
Let j(s) = s**2 - 5*s + 4. Let u be j(4). Suppose -3*a + 31 - 1 = u. Suppose -5*x + a*x = 1055. Is x composite?
False
Let w(n) = 96*n - 2. Is w(1) composite?
True
Is (0 + 14/1)*5129/46 a composite number?
True
Let t(f) = -23*f - 2. Let s(m) = -m + 2. Let c be s(0). Let a be t(c). Let y = -29 - a. Is y prime?
True
Let b(f) be the first derivative of -f**7/840 + f**6/360 - f**5/120 + 127*f**4/24 - 2*f**3/3 + 2. Let d(j) be the third derivative of b(j). Is d(0) composite?
False
Suppose -d - 2*d = -9. Suppose i = -d*i + 104. Suppose -i = -2*r + 12. Is r a composite number?
False
Let a = -1010 - -2328. Is a a composite number?
True
Let d = 73 - -124. Suppose -5*y = -h - 1012, -2*y + 2*h = -y - d. Is y a composite number?
True
Let h = -11 - -88. Suppose 2*o + 86 = 4*u, -4*o - h = 2*u - 5*u. Is u composite?
False
Suppose -5*l + 19 + 6 = 0. Suppose -l*d + 2204 = 509. Is d a composite number?
True
Suppose 2*w = -w - 5*r + 616, 2*r + 416 = 2*w. Suppose -4*c = 11 - w. Suppose -4*a + 211 = -c. Is a prime?
False
Let s(k) = 5*k + 7. Suppose -4*j + 80 = 4*p, 0 = -4*j + 2*p + 13 + 37. Let t = 21 - j. Is s(t) composite?
False
Let s(a) = 3*a**2 + 4*a + 5. Let d be s(5). Suppose -d = -5*h + g, -5*h - g = -3*g - 105. Is h a prime number?
True
Suppose 0 = 3*v - x - 200, 203 = 4*v + 3*x - 42. Is v a prime number?
False
Suppose -5*c + 3*y = -12, -5*y + 11 = 2*c - 0*c. Is -10 + 8 - -3*c a prime number?
True
Let o(q) = 24*q + 5. Let y(i) = 25*i + 4. Let v(k) = 2*o(k) - 3*y(k). Is v(-4) composite?
True
Suppose -4*k = -5*w - k + 29, -3*w + 3*k = -21. Suppose -4*t - 89 = -q, t + 271 = w*q + 2*t. Is q a composite number?
True
Suppose 2*t + 1 + 1 = 0. Let y be (3/(-6))/(t/108). Let j = -35 + y. Is j a prime number?
True
Let g = 0 - -2. Suppose 12 + 14 = g*x. Is x composite?
False
Let k be 4*(354/(-4) + 0). Let b = 50 - 547. Let n = k - b. Is n prime?
False
Let q = -260 - -167. Let m = 356 + q. Suppose -2*t + 3*b = t - 264, -3*t = -4*b - m. Is t prime?
True
Suppose -149 - 147 = -8*q. Is q prime?
True
Suppose 16 = 4*g - 3*z + 4*z, -4*g - 3*z + 24 = 0. Suppose 4*j - 2*a - 287 = g*j, -4*j + 2*a + 1160 = 0. Is j prime?
False
Suppose -4*c = -9*c - 165. Let z = 68 + c. Is z composite?
True
Let v(x) = x**2 - 3*x - 3. Suppose -2*d + 0*d + 10 = 0. Is v(d) a prime number?
True
Let o = 40 + -3. Is o a composite number?
False
Let d be (-4 + 2)*-263 - -1. Suppose -4*t = -s + d, 3*t = 3*s - 26 - 1573. Is s prime?
False
Let z = -6 + 4. Is ((-5)/(-10))/(z/(-156)) prime?
False
Let a(s) = 11*s - 6. Is a(5) prime?
False
Let i(y) = 6*y**3 - 3*y**2 - 2*y + 2. Let k(d) = 7*d**3 - 4*d**2 - 2*d + 3. Let q(l) = -6*i(l) + 5*k(l). Is q(-3) a composite number?
True
Let x = 57 - -41. Suppose 0 = -4*r + 3 + 5, -2*a - 98 = 2*r. Let n = a + x. Is n prime?
True
Let x = -76 - -115. Is x a prime number?
False
Let b be 4 - (-3 + (2 - 1)). Is (-3)/9 + 68/b composite?
False
Let k(c) = -3*c + 2. Let q be k(6). Let u be (-2)/8 - 1092/q. Suppose -2*x + 3*b = -116, -5*x + b = -345 + u. Is x a composite number?
True
Suppose 0 = -4*o - 10 - 2. Let u(k) = -4*k**3 - 5*k**2 - 4*k - 4. Is u(o) a prime number?
True
Let w = 8 - 5. Suppose -w*r = -0*r - 138. Is r prime?
False
Let d = -1 + 5. Is 6828/10 - d/(-20) a composite number?
False
Let y(t) = -t**3 + 6*t**2 - 6*t + 4. Let j be y(5). Is -284*j/6*3 composite?
True
Let y = 11 + -12. Is (-2)/y*1146/12 a composite number?
False
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
= 309*u - 3647 for u.
7
Solve -22046 - 3448 = -921*x - 1066 + 7807 for x.
35
Solve -212*g + 765 + 4648 = 537 for g.
23
Solve -69*v - 801 - 2310 = 95*v + 2465 for v.
-34
Solve -31*c + c + c - 54*c + 4648 = 0 for c.
56
Solve 8945 = 67*j + 8543 for j.
6
Solve -1686*n + 210*n - 74*n + 141050 = 0 for n.
91
Solve 18*w - 46*w = 2268 for w.
-81
Solve 1970*u - 89512 = -1637*u + 2256*u + 107734 for u.
146
Solve 195*u - 27848 = -566*u - 1056*u + 17577 for u.
25
Solve 273394*o = 273054*o + 25160 for o.
74
Solve 896 = -195718*v + 195590*v for v.
-7
Solve -208*z - 84234 = 1106*z - 52138 + 111130 for z.
-109
Solve -173*z - 2160 = 12372 for z.
-84
Solve 296*r - 6786 + 14167 = -25771 for r.
-112
Solve -1516*v + 133*v = -307*v + 2375*v - 307139 for v.
89
Solve 14*w - 13*w + 5*w - 1044 = -3*w for w.
116
Solve 102*t - 1137 = 111 - 126 for t.
11
Solve 320*y + 88896 = 1624*y + 85*y for y.
64
Solve 121104 = -317*r - 2206*r for r.
-48
Solve 1786*w = 880*w - 45300 for w.
-50
Solve 0 = 3509*x - 6970*x + 3489*x - 2128 for x.
76
Solve -1133*g - 14964 = 2608*g for g.
-4
Solve 26633*w = -293359 + 826019 for w.
20
Solve 17379*b - 16934*b - 20470 = 0 for b.
46
Solve -22*g + 8*g = -11*g - 48*g + 1260 for g.
28
Solve -451*l - 421*l + 2754 = -926*l for l.
-51
Solve 501*c + 459 = 280*c + 319 - 523 for c.
-3
Solve 2*f + 4*f - 215 + 112 = 119 for f.
37
Solve -816*s + 4082 = 8162 for s.
-5
Solve 40414 = 883*b + 954*b for b.
22
Solve 743*k - 619118 = -540360 for k.
106
Solve -27*s + 51*s = -0*s + 2136 for s.
89
Solve 425*h = -733*h + 31266 for h.
27
Solve -7735 = 2383*n - 60161 for n.
22
Solve 34*l - 252*l - 21456 = -74*l + 303*l for l.
-48
Solve -186*m - 5014 = -1456 + 2022 for m.
-30
Solve -117*o + 26*o - 23*o - 8023 = 2693 for o.
-94
Solve 0 = -4604*m - 31784 + 8425 - 23395 - 3890 for m.
-11
Solve 46*m + 203*m = 116*m + 1596 for m.
12
Solve 0 = -22685*x + 22183*x - 45682 for x.
-91
Solve -523*o - 27*o = 181*o - 27047 for o.
37
Solve 53*d - 255*d - 140*d - 17910 = 255*d for d.
-30
Solve -1437*g + 254*g + 14017 + 67610 = 0 for g.
69
Solve 2436 = -706*g + 36324 for g.
48
Solve 210*o = -170*o + 457*o - 142*o + 3575 for o.
55
Solve 409*k - 28680 = 1126*k for k.
-40
Solve -692 = -112*m + 258*m - 3028 for m.
16
Solve -173177 = -1687*q - 858*q + 81323 for q.
100
Solve -56075*v = -56175*v + 2889 + 2611 for v.
55
Solve 3686*t - 2969*t = 2868 for t.
4
Solve 108*c = 1198*c + 62130 for c.
-57
Solve 174981*g + 27 + 1 = 174995*g for g.
2
Solve -1131*i + 52210 = -18473 + 11469 + 2664 for i.
50
Solve 2464 = -123*x - 18*x - 35*x for x.
-14
Solve 67*n = -45*n - 34*n - 168*n - 18526 for n.
-59
Solve -841*i - 35326 - 1678 = 0 for i.
-44
Solve -181*o - 3600 = 2317 - 2116 for o.
-21
Solve -878*f - 862*f + 1083*f = 14454 for f.
-22
Solve 32*m + 89033 - 90473 = 0 for m.
45
Solve 23375 - 19280 = -35*y for y.
-117
Solve 94 = 80*y - 1974 + 148 for y.
24
Solve -6246 - 1243 + 459 = -1406*a for a.
5
Solve 1605 = 133*y - 2385 for y.
30
Solve -2869*b + 7300 + 7484 = -3573*b for b.
-21
Solve -247*k + 36*k - 8866 = -68*k for k.
-62
Solve -19456*o - 4277 = -9821*o - 9726*o for o.
47
Solve 1358*q = -548*q - 155*q + 49464 for q.
24
Solve -1816*d = -1432*d - 14592 for d.
38
Solve -184 = 17551*o - 17543*o for o.
-23
Solve 8*f = 254*f + 5904 for f.
-24
Solve 796*s - 1413*s - 3042*s + 166176 = -197*s for s.
48
Solve -1958*y - 1957*y = -3845*y + 3220 for y.
-46
Solve 260*x + 548 - 130 = -362 for x.
-3
Solve 2932*r + 305100 = -2718*r for r.
-54
Solve -149*r + 5758 + 13250 = 148*r for r.
64
Solve 15909*o = 15479*o - 15480 for o.
-36
Solve 0 = -1174*q - 5839*q + 1489*q - 66288 for q.
-12
Solve -2782*k - 1604*k - 149124 = 0 for k.
-34
Solve -126*q + 340*q - 26691 = -437*q for q.
41
Solve 83090 = 2888*n - 162313 - 40509 for n.
99
Solve 0 = 505*t + 1007 + 3 for t.
-2
Solve 14240*v - 16229*v = 49725 for v.
-25
Solve 428 = -329*d + 148*d + 74*d for d.
-4
Solve 1308*a - 20105 = 20443 for a.
31
Solve -8*m - 216 = -210 + 202 for m.
-26
Solve -49*w = -350*w + 53*w + 10401 + 759 for w.
45
Solve 884*n - 4155 = -990 + 2139 for n.
6
Solve -548*y + 126336 = -379*y - 2857*y for y.
-47
Solve 2340 = -208*s + 98 - 3102 - 1104 for s.
-31
Solve -1256*r = -1319*r - 1827 for r.
-29
Solve 1964 = -108*h + 2749 - 1649 for h.
-8
Solve -5203*v + 6537*v + 101012 = -24384 for v.
-94
Solve 23360 = 7388*z - 6192 for z.
4
Solve 334*s + 7020*s + 533497 = 33425 for s.
-68
Solve -21*h + 319 = -21*h - 9*h + 20*h for h.
29
Solve -98*n + 3502 = 3208 for n.
3
Solve 2062*r - 6242*r = 340*r + 2651*r + 501970 for r.
-70
Solve 267*t + 298*t - 814*t = -284*t - 2555 for t.
-73
Solve -668 + 1120 = 149*h - 6540 - 1352 for h.
56
Solve 0 = -261*l - 8829 - 828 for l.
-37
Solve -85054 = -1744*k - 1046*k + 4768*k for k.
-43
Solve -208*p + 354 + 289 = 19 for p.
3
Solve -488*i - 16264 - 26961 = -13*i for i.
-91
Solve 1065 - 5411 = -209*r - 754 + 4768 for r.
40
Solve 16*d - 261 = -16*d + 827 for d.
34
Solve -173*s + 18*s = -1240 for s.
8
Solve -321826 = -202*u + 3072*u + 1909*u - 430*u for u.
-74
Solve -165*d + 1489 = 61*d - 1223 for d.
12
Solve -978*v - 1508*v + 118174 = 1291*v + 1361*v for v.
23
Solve 92053*j - 92131*j + 1404 = 0 for j.
18
Solve 47*n - 47080 = 1000*n + 1981*n - 205516 for n.
54
Solve 541270*c - 18048 = 541082*c for c.
96
Solve 209*s - 648 = 4*s + 377 for s.
5
Solve -18843*j = -18791*j + 780 for j.
-15
Solve 3652 = -1057*g + 6639 + 7583 for g.
10
Solve -979*h + 521*h + 2080 + 692 = -542*h for h.
-33
Solve -15952737*k = -15952756*k + 513 for k.
27
Solve 0 = 33*y - 37*y - 1261 + 1117 for y.
-36
Solve -14598411*f + 2584 = -14598449*f for f.
-68
Solve 0 = -32*s - 8940 + 10188 for s.
39
Solve -46*h - 355 - 137 = 77*h for h.
-4
Solve -16260*j + 16228*j = -672 for j.
21
Solve 0 = 178166*t - 178200*t - 272 for t.
-8
Solve 162*k - 374*k = -172*k - 1880 for k.
47
Solve 11031 = -165*r - 2664 for r.
-83
Solve 122*j - 578 + 9663 = 1469 + 1272 for j.
-52
Solve 295*o = 732 + 2577 + 4656 for o.
27
Solve 17138 = 20057*l - 19155*l for l.
19
Solve 4286*g - 89596 = 6009*g for g.
-52
Solve 5021 - 2172 = 212*j - 9235 for j.
57
Solve 1356*v - 8541*v = -761610 for v.
106
Solve 702*i + 121683 + 63285 = 260*i + 3745*i for i.
56
Solve 7*f + 911 = 114*f + 3800 for f.
-27
Solve 48*b - 1033 = -1273 for b.
-5
Solve 8*y - 70*y - 13*y = 22*y + 17*y for y.
0
Solve 0 = 105*k + 387*k + 9364 + 7364 for k.
-34
Solve 7346 = -446*u - 6926 for u.
-32
Solve -203*n - 1324 - 6234 - 293 = 1284 for n.
-45
Solve 1368*o - 541*o - 253674 = -1660*o for o.
102
Solve 79850*w - 79959*w = 0 for w.
0
Solve 14655*u + 221880 - 430436 = 211127 + 357032 for u.
53
Solve 161660 + 85171 = -6568*h - 258905 for h.
-77
Solve -32448*s + 10168 + 23307 = -31933*s for s.
65
Solve 15*g + 60*g + 64*g + 9869 = 0 for g.
-71
Solve -75718 - 21157 = -3125*b for b.
31
Solve -242 = -143*q - 18*q + 20232 + 778 for q.
132
Solve 138*n + 880 + 3930 = 394 for n.
-32
Solve -6335*v - 52567 + 160821 = -81796 for v.
30
Solve -2576 - 994 = -23*j + 429*j - 322 for j.
-8
Solve 69*h = -234158 + 226016 for h.
-118
Solve -211*q + 58*q + 101*q = -104*q - 3692 for q.
-71
Solve 2931*b - 963*b - 9496 - 59384 = 0 for b.
35
Solve 450*x - 508*x + 580 = 0 for x.
10
Solve -73*n = -39*n + 42*n + 91 + 3557 for n.
-48
Solve -1147*f - 1252*f - 759 = -2205*f - 6967 for f.
32
Solve -7253*t = 19750*t + 1296144 for t.
-48
Solve -664107*g = -663060*g - 31410 for g.
30
Solve -83*d = 69*d + 99*d + 27*d - 16958 for d.
61
Solve 65*g - 1941 = 269 for g.
34
Solve 122135*h = 122141*h - 282 for h.
47
Solve 22120 = -4566*k - 3482*k + 201428 + 13844 for k.
24
Solve 11287*f - 10514*f = -56429 for f.
-73
Solve 464*u - 16531 = 162*u + 411*u + 162*u for u.
-61
Solve 7447 + 7457 = 2807*m - 36233 - 7810 for m.
21
Solve 0 = -3*h - 69 - 15 - 19 - 32 for h.
-45
Solve 178731 + 75636 = -2267*f + 75274 for f.
-79
Solve -233425 = 2486*i - 4713 for i.
-92
Solve 0 = -105*h + 18020672 - 18014267 for h.
61
Solve -49*q + 10670 = -71*q + 216*q for q.
55
Solve -35*i - 237 - 100 + 101 = 534 for i.
-22
Solve 2807*v = 977*v - 25620 for v.
-14
Solve 29*t - 27262 = 126*t + 183*t + 37*t for t.
-86
Solve -1467*c - 16589 = 268*c - 137*c + 85683 for c.
-64
Solve 0*u - 38*u - 3727 + 2093 = 0 for u.
-43
Solve -732*c - 2054 = 910*c + 118298 + 12650 for c.
-81
Solve 42203 = 142*j + 34251 for j.
56
Solve 692
|
{
"pile_set_name": "DM Mathematics"
}
|
t to -24? (a) -1/5 (b) -4/3 (c) 5622 (d) -1 (e) -2
e
Which is the closest to -7213? (a) 4 (b) 18/23 (c) -3
c
What is the closest to 0.1 in -0.3, -51/4, -0.2, -64, 13?
-0.2
Which is the nearest to 0.24? (a) 0.17 (b) -234 (c) 1/2 (d) -1/27
a
Which is the nearest to -4/7? (a) -9 (b) 18 (c) 0.31 (d) 2/89
d
Which is the nearest to 0.156? (a) 4 (b) 0.25 (c) 1/2 (d) 55 (e) -0.1 (f) -14
b
Which is the closest to -1.5? (a) -192 (b) 0.2 (c) -11/25
c
What is the closest to 7 in 8, 252, 3/4, 0?
8
Which is the closest to 0? (a) -4 (b) 478/59 (c) 2 (d) -0.083
d
Which is the closest to -1/23? (a) -0.18 (b) -3/7 (c) 2/5 (d) -16
a
Which is the nearest to -0.1? (a) -2 (b) -0.1 (c) 4/17 (d) 5 (e) 3396.1
b
Which is the nearest to 2/23? (a) -0.06 (b) -5 (c) -1/6 (d) 0.715
a
What is the closest to 2/3 in -278, 4, -267/7, -28?
4
Which is the closest to -2? (a) -0.2 (b) -27.3 (c) 65 (d) 8/7
a
Which is the nearest to -2/5? (a) -7/57 (b) -320 (c) -5 (d) 0 (e) 4/5
a
What is the closest to -0.1 in -0.3, 2, -3.2, 8, -21/34?
-0.3
Which is the nearest to 0.0156? (a) -5 (b) -0.5 (c) -42 (d) 3
b
Which is the nearest to -11? (a) 1 (b) 0 (c) -2.087 (d) 3/8 (e) 3/5
c
What is the nearest to -26293/9 in 10, -3, -5?
-5
What is the closest to -1 in 346/3, -2/9, 0.37, -0.1438, 2?
-2/9
Which is the nearest to -12? (a) 234 (b) 871 (c) 4/5
c
What is the nearest to -3.83 in -5, -20641, 1, -4?
-4
Which is the closest to 3/68302? (a) 1 (b) -2 (c) -0.5
c
Which is the closest to -83.5? (a) -6 (b) 1/1031 (c) -1/4 (d) 5 (e) 2 (f) -1
a
What is the nearest to 2/5 in -2/3, -4, 1/19, -59, -117?
1/19
What is the closest to -1/3 in -9, 13193, 10?
-9
Which is the closest to 0.1? (a) -386037 (b) 1/5 (c) -0.5
b
What is the nearest to -1 in 695, -13, 5, -3.95?
-3.95
Which is the closest to -67? (a) 1399 (b) 1/6 (c) -42
c
Which is the closest to 1/3? (a) -4 (b) -0.5 (c) 754 (d) 0.4 (e) 0.14
d
What is the closest to -1 in 11221/11, 3, -4, 2/5?
2/5
Which is the nearest to 2/5? (a) -3/35 (b) -1.9 (c) 27 (d) -0.5 (e) -8/3
a
What is the nearest to 1 in -8, -12, 6, -2, 0.047?
0.047
What is the nearest to -5 in 1, -1, -1671/62?
-1
What is the nearest to -1/9 in -2/7, 0.3, 2/17, 34532?
-2/7
What is the nearest to 1773 in -1/2, 2, -11/3, -1?
2
What is the closest to 0 in 405/4, 4173, 0.3, -2/3?
0.3
What is the nearest to 0.1 in -17, 1.10994, -2/5, -4?
-2/5
Which is the closest to -188? (a) -89 (b) -0.4 (c) -33.7 (d) 0.1
a
Which is the nearest to 2/7? (a) -2/3 (b) 54.71 (c) 1/4 (d) -95 (e) 0.3 (f) -2/11
e
Which is the closest to 2? (a) 62 (b) 3 (c) -0.001 (d) -414
b
Which is the nearest to 0.07? (a) -0.053 (b) -0.2 (c) 48899
a
Which is the nearest to 164.7? (a) 42 (b) -9/20 (c) 3/2
a
Which is the closest to -1? (a) -2/5 (b) -0.1 (c) -1.2 (d) 5 (e) 11
c
What is the nearest to 55 in -2/9, -10, -3/88, 259?
-3/88
What is the closest to -48 in 0.1, 0.33, -2.2, 1/2?
-2.2
What is the nearest to -436 in -72, 0.5, -0.21?
-72
What is the closest to 0 in 2/11, 1/3, 49/38, 0.4?
2/11
What is the closest to 2/7 in -77, -0.03, 22/67, 5, -0.38?
22/67
Which is the closest to -62? (a) -1/2 (b) 2 (c) -128 (d) -3 (e) -0.03 (f) 5.1
d
What is the closest to -71736 in -2/5, -5, -144?
-144
What is the closest to 2/3 in 0.7, -5, -3/49, -1, -0.2?
0.7
Which is the closest to -85? (a) 51 (b) 0 (c) 622.6 (d) -0.1
d
What is the nearest to 1/8 in -4/5, -171508, 1/4?
1/4
Which is the nearest to 0.2? (a) -0.2 (b) 5 (c) -1/7 (d) 7996 (e) 2
c
What is the closest to 0.025949 in -7, -2, -0.5?
-0.5
What is the closest to -95 in -0.3, -1, 1.2, 4, -1/5?
-1
Which is the closest to 0.066? (a) -4 (b) 0 (c) 0.48
b
Which is the nearest to -0.081? (a) 4 (b) -2/9 (c) 6 (d) -9
b
Which is the closest to -1? (a) 58.5 (b) 1/5 (c) -23 (d) 0.1
d
What is the closest to 0 in -0.7, 4/5, -26, -0.55?
-0.55
Which is the closest to -0.31? (a) 78 (b) 22 (c) 80
b
Which is the closest to 1/30? (a) -210 (b) 0.2 (c) -105 (d) 94
b
Which is the closest to -0.1? (a) -4/21 (b) 1 (c) -2/11 (d) -26/9
c
What is the nearest to 159717 in 4, -19, -1/10?
4
What is the closest to -3/4 in 0.01, 9, 1, 0.012, -8, -2/7?
-2/7
What is the closest to 0.1 in -9, 1/4, 0.1, 0.3, 17?
0.1
Which is the closest to 0? (a) 4 (b) -110 (c) 4/3 (d) -0.4 (e) -55
d
What is the nearest to -861 in 672/37, -3/5, 0?
-3/5
Which is the nearest to -2? (a) 3 (b) -2/21 (c) -1.8 (d) 1/3 (e) 11/20
c
Which is the closest to -2/5? (a) 4 (b) 300/7 (c) -2/11 (d) 46
c
Which is the nearest to -1? (a) -1 (b) -3 (c) -0.5 (d) 255 (e) 4
a
What is the nearest to 3 in 0, -20, -2/1067, -5, 0.2?
0.2
Which is the closest to -60? (a) 2/15 (b) -18.9 (c) 1 (d) -0.34 (e) -1/2
b
Which is the closest to 0.16? (a) -517 (b) 3/7 (c) 3/5
b
Which is the closest to 4/5? (a) 2 (b) -5 (c) 3/8 (d) -2480 (e) 3
c
Which is the nearest to 0.2? (a) -20 (b) -1 (c) -6312 (d) -5 (e) -4 (f) -2
b
Which is the nearest to 3411170? (a) -4 (b) 0.3 (c) -0.2
b
Which is the closest to 3? (a) -0.3 (b) -204 (c) -23 (d) 2 (e) 14/27
d
Which is the nearest to 1? (a) 4/9 (b) -227 (c) 1 (d) -9/53
c
What is the nearest to -23701 in -5, -4/7, 14, 0.08?
-5
Which is the closest to -1/105? (a) 2/3 (b) -3 (c) 1/3 (d) 4/15 (e) -0.77
d
What is the nearest to -5 in -1/2, 512, 1, 17?
-1/2
Which is the nearest to -2/15? (a) 1/2 (b) 4835 (c) -2/19 (d) 4 (e) 3/7
c
Which is the closest to -69/8? (a) 14.8 (b) 9 (c) -2
c
What is the closest to -0.1 in -265/7, -13.23, -0.3?
-0.3
Which is the closest to 0? (a) -276815 (b) 0.5 (c) 5/3 (d) 0.4 (e) 2
d
What is the nearest to -58 in -11.9, 8, -16, -5?
-16
What is the nearest to 14 in -6, 36, -174?
-6
What is the closest to 0 in 6, -459, -1/27?
-1/27
Which is the closest to 1/2? (a) 2/5 (b) 407/80 (c) -3/4 (d) 1 (e) -95/9 (f) -1/2
a
What is the closest to -12 in 0.22, 4, -4/5, 2, -0.066?
-4/5
Which is the nearest to -1? (a) -0.1 (b) 13 (c) 1 (d) 23 (e) 12
a
What is the nearest to 1/2 in 25/4, 2/37, 0.208?
0.208
What is the nearest to -255 in 0.4, -14, -4, 1/4, -8?
-14
What is the closest to 4 in 4, -8.831, 6/25?
4
What is the closest to 2/3 in 0.4, -4.4, -1.6, 10, -1/8?
0.4
What is the closest to -1/3 in 5, 0.2, 5931.7, 72, -0.3?
-0.3
What is the closest to -274 in -2/7, 1, 1/23, -556?
-2/7
What is the closest to -1 in 5, 2.586, 1/5, -269?
1/5
Which is the closest to -0.9? (a) 0.5 (b) -0.4 (c) -0.5 (d) 1 (e) 80 (f) -2.105
c
Which is the closest to 2.04? (a) 0.01 (b) 195/8 (c) -2 (d) 2/5
d
What is the closest to -41 in 4, 42, 3, -22, 0.2, 0.1?
-22
Which is the closest to -2/5? (a) -0.1 (b) 17.1 (c) 6 (d) 4 (e) 2/3
a
What is the closest to -2 in -4485, -5, 8, -0.5, -3?
-3
Which is the closest to 6? (a) 0.732 (b) -3 (c) 50
a
What is the nearest to 0.2 in 165, 9/11, 0.8?
0.8
Which is the nearest to -198254? (a) -3/5 (b) -1/5 (c) 4/7 (d) -4 (e) 2 (f) -0.1
d
Which is the nearest to 12? (a) 0 (b) 6 (c) 1/30 (d) 0.3 (e) -1/9
b
Which is the closest to 37/19? (a) 36 (b) 238 (c) 4
c
What is the nearest to -0.2 in -12, -1, 3/101, -3?
3/101
Which is the nearest to -0.1? (a) 2/17 (b) 8691 (c) 853/5
a
Which is the nearest to -3/22? (a) -1 (b) 0.54 (c) 2/31 (d) 2/3 (e) -2
c
What is the nearest to 0.1 in -0.11, 1800, -0.4, -0.04?
-0.04
Which is the closest to -0.1? (a) -11/2 (b) 30 (c) 3/2 (d) 281 (e) 0.23
e
What is the closest to -1 in -3/2, -251, 5, -319598?
-3/2
What is the nearest to -305 in 1/1399, 3, -0.6?
-0.6
What is the nearest to 340/43 in 0.01, 1, 0, -0.1, -0.3?
1
Which is the nearest to -3743? (a) 4 (b) 32 (c) -4/9 (d) -0.1 (e) 0.3
c
What is the nearest to -0.939 in 1, -4, 26.88, -2/3?
-2/3
What is the nearest to -1/6 in -275895, 0, 2/7?
0
Which is the nearest to 0? (a) 7 (b) 0.2 (c) 75 (d) -1914 (e) -2
b
Which is the nearest to 60.1? (a) -0.5 (b) 18 (c) 5900
b
Which is the nearest to -4? (a) 4/3 (b) -243 (c) -0.1 (d) -5 (e) -0.04
d
Which is the closest to -0.05? (a) -1/6 (b) 1093.022 (c) 0.1 (d) 3
a
Which is the closest to 3? (a) -4 (b) -2 (c) -2/1315 (d) 0.1
d
Which is the nearest to 33? (a) 14/5 (b) 5 (c) -11.2
b
Which is the closest to -83? (a)
|
{
"pile_set_name": "DM Mathematics"
}
|
range -86*x + 59 + 88*x + 2 to v + z*x and give v.
61
Rearrange (2 + 1 + 1)*(-230 - 24*z + 0*z + 227) to j*z + y and give y.
-12
Rearrange 4*x - 4*x + x**3 + (-x**3 + 4*x**3 - 2*x**3)*(4 - 5 - 1) + 311*x**3 + 1 - 148*x**3 - 159*x**3 to n*x + q + d*x**2 + j*x**3 and give q.
1
Express ((2*q + 2*q - 3*q)*(-6 - 1 + 3) + (-3 + 5 - 6)*(-5*q + 2*q + q))*(-3 + 5 + 0) as a + w*q and give w.
8
Express (873*x**2 - 283*x**2 + 293*x**2)*(4*x**2 - 3*x**2 + x**2) in the form b + k*x**3 + j*x**4 + h*x**2 + z*x and give j.
1766
Rearrange ((-33 + 33 - 3*c)*(-4 + c + 4) - 21 + 6*c**2 + 21)*(-4 + 9 + 3) to v + r*c + h*c**2 and give h.
24
Express 8*j**3 - 335*j - 337*j + 669*j in the form h*j**2 + v*j + w*j**3 + a and give w.
8
Express (-757*y - 3*y**2 + 7 + 757*y)*(-2*y + 2*y - y + (0*y + 2*y + 0*y)*(-2 - 6 + 4) + y - y + 3*y) in the form s*y**2 + i*y**3 + q + b*y and give b.
-42
Rearrange 3 + r**3 + 66*r - 8*r**2 - 81*r - 14*r**2 + 22*r**2 to the form c*r + p*r**3 + z*r**2 + a and give c.
-15
Express -3*i + 50275*i**2 - 50343*i**2 + 4*i + (i - 2*i + 3*i)*(2*i + 0 + 0) in the form o + t*i**2 + d*i and give t.
-64
Express (3*v - 5*v + 0*v)*(-20 + 18 + 19) - 3*v - 3*v + 5*v in the form d + h*v and give h.
-35
Rearrange -559*p**2 - 566*p**2 - 3 - p + 1128*p**2 to the form h + u*p**2 + w*p and give h.
-3
Express -1691*d + 889*d + 651*d in the form p + m*d and give m.
-151
Rearrange (-5*c**2 - 2*c**2 + 3*c**2)*(-11 - 9 - 18) to the form s*c + h + b*c**2 and give b.
152
Express -10*r**4 + 12*r**4 - 1582 - 43*r**2 - r**3 + 1580 in the form t*r + x*r**2 + q + p*r**4 + h*r**3 and give h.
-1
Express 21*y - 50*y - 178*y + (0*y + 0*y - y)*(2 - 2 + 4) as k*y + f and give k.
-211
Rearrange 324*u - 88*u + 347*u + 813*u to f*u + b and give f.
1396
Express -165*c**2 - 30*c**2 - 171*c**2 in the form b + f*c**2 + g*c and give f.
-366
Rearrange -j**3 - 1906*j**4 - 15*j**2 + 1904*j**4 + 2*j**2 to z*j**2 + m + q*j**4 + k*j**3 + d*j and give k.
-1
Rearrange 28*n + 26*n**2 - 16*n - 9*n + 11*n**2 to o + x*n**2 + y*n and give y.
3
Express (c**2 + 3*c**2 - 3*c**2)*(2*c - 2*c - 2*c**2) - 3*c**3 + c**3 + 15064*c**4 - 14985*c**4 in the form t + m*c**4 + d*c**3 + s*c + i*c**2 and give d.
-2
Express (-23*v + 302*v - 12*v)*(-11*v**3 + 3*v**3 + 6*v**3) in the form n*v**3 + s + r*v + z*v**2 + t*v**4 and give t.
-534
Rearrange -19 + 19 - t**3 - 6*t**4 + t - 4*t**4 to the form w*t**4 + f*t + y + c*t**2 + b*t**3 and give w.
-10
Rearrange (-11*u - 6 + 3 - 2*u)*(-15*u**2 - 26*u + 26*u) to j*u**3 + y*u + t + k*u**2 and give y.
0
Express (-1 - 2*l + 1)*(2 - 3 + 4)*(-5 + 19 + 16)*(-3*l + 3*l + 2*l) in the form i + z*l + v*l**2 and give z.
0
Express 621*g**2 - 4955 + 4955 as o*g + u*g**2 + r and give u.
621
Rearrange -427*v + 2 + 429*v + 39*v**4 - 2*v**2 + v**2 to c*v**2 + o + t*v**3 + y*v**4 + g*v and give c.
-1
Rearrange (106*t + 100*t + 77*t)*(0*t + 4*t - 5*t) + (-2*t**2 + 4*t**2 - 3*t**2)*(1 - 2 - 2) - 2*t + 2*t - 2*t**2 to q + v*t + w*t**2 and give w.
-282
Express (59*l - 2*l**2 + 54*l - 114*l + 3)*(-2*l**2 - 2*l**2 + l**2) as m*l**4 + u + s*l**2 + n*l + y*l**3 and give s.
-9
Express (-2 - 10*m + 2)*(-96 - 1 - 51) as l*m + b and give l.
1480
Rearrange 16*f - 4 + 1 + 0 + 12 + 5 to z*f + s and give z.
16
Express (0 - 4*l**2 + 0)*(-2*l + 5*l - 2*l) + l**3 - 3*l**3 + l**3 - 22*l**2 - l**3 + 29*l**2 + 5 - 2 in the form v*l + w + u*l**3 + x*l**2 and give u.
-6
Express o - 3*o + o + (35 - 35 - 465*o)*(4 - 4 + 1) as y*o + f and give y.
-466
Express 118*a - 7*a + 15*a as b + g*a and give g.
126
Rearrange 182*c**4 - 87*c**4 + 19*c**2 - 3*c**4 - 20*c**2 + 135*c**4 + 1 to q*c**2 + i + s*c**4 + z*c**3 + d*c and give s.
227
Express -5*l - 5 + 11 + 13*l + (-5 + 1 + 2)*(-21 + 2*l + 21) as b*l + v and give b.
4
Rearrange -384*y + 27*y**3 + 384*y + (0*y + 3*y - y)*(5*y**2 - 15*y + 15*y) to j + p*y**2 + x*y + r*y**3 and give r.
37
Rearrange -31 + 6*v + 2*v**2 - 3*v + v**3 - 3*v to the form c*v**3 + h*v + z + f*v**2 and give c.
1
Rearrange ((4*n - 5*n - n)*(-7*n + 2*n + 3*n) + 2 + n**2 - 2)*(-1018 + 1297 - 1415) to the form f*n + z + d*n**2 and give d.
-5680
Express -3*q**3 + 0*q**2 + q**4 - 3*q**2 - 3*q**4 + q**3 + 4*q**3 as p*q**3 + m + r*q**4 + a*q**2 + d*q and give p.
2
Rearrange (4927 - 4927 + 73*x)*(-x**2 + x**2 + 4*x**2)*(3 + 1 - 2) to the form o + l*x**2 + h*x + z*x**3 and give z.
584
Rearrange (-d - 2*d + 0*d)*(1 + 3 + 1 + (-3 - 3 + 4)*(-6 + 9 + 7)) to s + m*d and give m.
45
Express (-145 - 55 + 128)*(6 - 2 - 5)*(5 - 3 + 18*w - 2) in the form d*w + s and give d.
1296
Rearrange 48*r + 234*r + 144*r to the form m + k*r and give k.
426
Express -12*d**3 + 7*d**3 + 2*d**3 + 5*d**3 + 196*d**2 in the form o*d**2 + t*d + z*d**3 + j and give o.
196
Rearrange -75*h + 36*h + 1 - 8 to the form y + t*h and give y.
-7
Express 2 - 13*h**2 - 52*h + 53*h + 2*h**3 + 14*h**2 - 5*h**2 as v + p*h**2 + k*h**3 + d*h and give d.
1
Express -7*w + w + 3*w - 50*w + 4 in the form s*w + q and give s.
-53
Rearrange 1262*p**2 - 1264*p**2 - 11*p - 47*p to the form j + u*p + z*p**2 and give z.
-2
Express -18 - 4*p + 19 + 31 + 31 in the form k*p + o and give k.
-4
Express -1 - 2*m**3 + 1 + (-1 - 4 + 3)*(m**3 - 347*m**3 + 79*m**3) in the form b*m**2 + d*m**3 + w*m + l and give d.
532
Rearrange 1011 + 1124 - 1734 - o to c*o + w and give w.
401
Rearrange -2*t**3 + 0*t**3 + 5*t**3 + 4*t**3 - 7*t**3 + 0*t**3 + (-3*t**2 - 2*t**2 + 6*t**2)*(4*t - 2*t - t) to the form j*t + y*t**2 + o + l*t**3 and give l.
1
Express -1 + 1 + 2*j**2 + (4*j + j - 4*j)*(3*j - 3*j - j) - 3*j**2 + 3 - 3 + (0*j + j - 3*j)*(-1 - 1 + 5)*(0*j + 3*j + 2*j) as c*j + p + h*j**2 and give h.
-32
Express -102*y**2 + 2*y**3 + 100*y**2 + 52*y**2 - 6 in the form z*y + f + x*y**3 + j*y**2 and give f.
-6
Rearrange r - 3*r**2 + 12*r**2 - 3 - 13*r**2 - 38*r**2 - 16*r**2 to u*r**2 + l + s*r and give u.
-58
Express (10 - 19 + 6 + 7*p)*(-14 + 2 + 3) in the form b + n*p and give b.
27
Rearrange (6542 + 6501 - 13412)*(0 + 5 - 2)*(-o + 0*o - o)*(2 + 2 - 5) to the form c + g*o and give g.
-2214
Rearrange r + 0*r + 3*r + 0*r + 51 - 2*r to s + o*r and give o.
2
Express (0*k + 2*k + 0*k)*(716 - 64 + 254) as h + p*k and give p.
1812
Rearrange 23*i + 3640 - 7282 + 3619 to the form m + d*i and give d.
23
Express (-3 - 1 + 6)*(47*v**3 + 56*v**3 - 116*v**3)*(21 - 21 - 2*v) as m*v**4 + o + r*v**2 + p*v + g*v**3 and give g.
0
Express (2 + 23 + 28)*(3*t**3 + 4*t**3 - 5*t**3) in the form h*t**2 + j + o*t + f*t**3 and give o.
0
Express ((-4*r + 6*r - 3*r)*(3 - 5 + 6) + 2 - 2 + r + 0 + 0 + 2*r)*(-4*r**3 + 3*r - 3*r) as c*r**2 + s*r**3 + v + d*r + h*r**4 and give h.
4
Rearrange -61 + 14*j**2 - 13*j**2 - 9*j - 48 + 8*j to l*j + b + g*j**2 and give b.
-109
Rearrange -304*f**2 + 159*f**2 - 2*f + 201*f**2 to the form u + o*f + k*f**2 and give k.
56
Rearrange 9*o**3 - 3*o + 12*o**2 - 15*o**3 + 7*o**3 to the form q*o**3 + t + r*o**2 + s*o and give s.
-3
Express -2*d**2 - 285*d**3 - 4*d - 279*d**3 - 3 + 565*d**3 as w*d + n*d**2 + b + z*d**3 and give b.
-3
Rearrange -14 - 58 - 5*z**2 + 8*z**2 - 5*z**2 to n*z + w + d*z**2 and give w.
-72
Express -277*u**2 + 115*u**2 + 46*u**2 in the form t + q*u**2 + b*u and give q.
-116
Express 528*i**3 - 1051*i**3 - 8*i**2 - 3 - i**4 + 532*i**3 as s + o*i + h*i**3 + j*i**2 + r*i**4 and give h.
9
Express (-2 - 1 - 3)*(194*u + 16*u + 4*u)*(1 - 5 + 5 + (2 - 1 - 4)*(-2 - 2 + 2)) as z + g*u and give g.
-8988
Express (-3*z**2 + 15 - 15)*(-4*z + 7 - 3 - 6) in the form o + w*z**3 + j*z**2 + v*z and give w.
12
Rearrange (2 - 2 - g**2)*(-3*g + 2*g**2 + 3*g) + 514*g**3 - 9*g - 514*g**3 + 19*g**4 to y*g**3 + m*g**2 + z*g + f + o*g**4 and give z.
-9
Rearrange (0*l**2 + l**2 - 2*l**2)*(4*l**2 - 4*l**2 + 2*l**2 + (-5053 + 8*l + 5053)*(0*l - 3*l + 4*l)) to c*l + m*l**2 + f + h*l**4 + q*l**3 and give h.
-10
Rearrange -12*w**3 + 2*w**4 + 5*w**3 - 3*w**4 - w**4 - 14 to the form j*w**3 + t + h*w + z*w**4 + a*w**2 and give z.
-2
Rearrange -8*u + 18*u**3 - 20*u**3 + 25 - 22 to the form q*u + r*u**3 + m + j*u**2 and give q.
-8
Express (22 - 22 - 10*n)*(93 - 93 + 48*n) - 1 - 1 - 3*n + n + 2*n**2 as f*n + p + j*n**2 and give j.
-478
Rearrange 29*s - s + 44*s + 2 + s - 2 + 2*s - 2*s - s - s + s + 2*s + (-4*s + 0*s + 5*s)*(3 + 0 - 2) + 0*s + s + s - s + 5*s - 3*s to w + d*s and give d.
78
Rearrange 2*f**4 - f
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) -275829 (b) 0.03 (c) 4 (d) -6
a
What is the second biggest value in 0.2, 45.53, -0.1, -231?
0.2
What is the biggest value in -773, 31.7, -2.9?
31.7
What is the biggest value in -123211, 2/347, 1/3?
1/3
What is the second biggest value in -3, 3, -5.971, -0.135?
-0.135
What is the biggest value in 2/15, 2148, 0.4, 5, -4/7, -14.5?
2148
What is the fourth biggest value in -1, 0.44614, 1, 0, 4/7?
0
Which is the second smallest value? (a) 5 (b) -3/4 (c) -0.28 (d) 3 (e) 4 (f) 0.433 (g) 0.2
c
Which is the biggest value? (a) -30.79 (b) -0.9 (c) -2723
b
What is the second biggest value in 3, -0.1, -1, 8/24459, 1, -9?
1
What is the biggest value in 15/28904, -2/7, -2/11, -4/5, 2/11?
2/11
What is the fifth smallest value in -14, 79/3, -3/7, 0.2, -1?
79/3
What is the third biggest value in 2, -34438, 20?
-34438
What is the smallest value in -7/51, -17.7, -1.37, 1?
-17.7
What is the biggest value in 0.5, -0.4, 33655.33, 19?
33655.33
Which is the second smallest value? (a) 2/7 (b) 0.186 (c) -27298 (d) 1/4
b
What is the third smallest value in 1.7, -218957, 1/5, 6?
1.7
Which is the second smallest value? (a) -0.584 (b) 3 (c) 7088
b
What is the fifth smallest value in -4/35, 0.1, 1/22, 0.18, -15?
0.18
Which is the fourth smallest value? (a) 2.66 (b) 5 (c) -0.46 (d) -2/13 (e) 93 (f) -1/3
a
What is the third biggest value in -0.04, 1/5, 20, -1/2654?
-1/2654
What is the seventh biggest value in 54, 10/7, 0.1, 3, -1/4, 0.02, 0.07?
-1/4
What is the third biggest value in -3, -7, -92443?
-92443
What is the biggest value in -0.45, -1/2, -0.03, 4, 1, 0.1, 2/15?
4
What is the sixth biggest value in 0.2, 0.06, 0.3, -0.3, -18031, -0.03, -3/2?
-3/2
What is the second biggest value in 0.01, 2/5, -29562, -3/4?
0.01
What is the third biggest value in 136, 16, 2/3, -4, -1225/11?
2/3
Which is the second biggest value? (a) -16859 (b) 2/9 (c) 0.3 (d) -3/8 (e) -50/3
b
Which is the third smallest value? (a) -2/5 (b) 6339137 (c) 4
b
Which is the third biggest value? (a) -0.5 (b) 4934/3 (c) 1265
a
Which is the second biggest value? (a) 177356 (b) -10/31 (c) -1/2
b
Which is the fourth smallest value? (a) 0.4 (b) 82 (c) 4 (d) -0.3 (e) -6 (f) -1/6 (g) -4
f
Which is the second biggest value? (a) 1/3 (b) -36040 (c) -27 (d) -3/5 (e) -11
d
What is the fourth smallest value in 29, 5, 0, -0.016547?
29
What is the fourth smallest value in 2, -5, -309, -60563?
2
Which is the second biggest value? (a) 265260 (b) 3 (c) 2
b
Which is the fourth smallest value? (a) 3/2 (b) -0.1 (c) -2/3 (d) -500 (e) -0.3 (f) -53/4
e
What is the fifth biggest value in 5, 10/7, 3/5, 24010, -4?
-4
Which is the smallest value? (a) -0.3 (b) 2/5 (c) 5 (d) 16912 (e) 7/2 (f) 0.3
a
Which is the sixth biggest value? (a) -609/13 (b) 0.2 (c) -0.3 (d) 0.5 (e) 2/11 (f) 15 (g) 0.13
c
What is the sixth smallest value in 86, 1/166, -6, 0.845, -1/10, -2?
86
What is the fifth biggest value in -13/4, 30/47, -1, -0.4, -2/7?
-13/4
Which is the smallest value? (a) -6/67 (b) -0.07 (c) -1 (d) -0.15 (e) 5/3
c
Which is the second biggest value? (a) 362/165 (b) -212 (c) -5
c
Which is the third smallest value? (a) 0.1035 (b) -2 (c) -29 (d) -0.03 (e) 77
d
Which is the second smallest value? (a) 2/11 (b) -3 (c) -2556 (d) 51 (e) 156
b
Which is the smallest value? (a) -0.14 (b) 3 (c) -1 (d) -3503 (e) 0.1
d
What is the biggest value in -18/31, -13, 5, 38?
38
What is the smallest value in 30, 1/2, -5.25, -1/2, -1, -1/4, 4?
-5.25
What is the fifth biggest value in -196, 2/5, 2, -4, 0.2, -0.1, 2/27?
-0.1
Which is the biggest value? (a) -1129 (b) -6 (c) 112 (d) 4/3
c
What is the third smallest value in 6, 0.0285775, 4, -2/9?
4
What is the fourth smallest value in 8.97025, -3/2, 4, -5?
8.97025
What is the biggest value in 1/3, -304, 1, 44, 71, 2/15, -1?
71
Which is the fourth smallest value? (a) 1/7 (b) -3 (c) -0.046 (d) -0.2 (e) 784
a
Which is the fourth biggest value? (a) 5 (b) 135825 (c) -1/8 (d) 2 (e) -3
c
Which is the third biggest value? (a) 0.4 (b) -0.1 (c) 2/135 (d) -3/13 (e) 549 (f) -2/3
c
Which is the second smallest value? (a) 59.6 (b) -2/11 (c) -481
b
What is the third biggest value in -4, -151624, -5?
-151624
Which is the biggest value? (a) -3 (b) -4 (c) -8649387
a
What is the third smallest value in 107/5, 3, 0.4, 5, 1913?
5
Which is the second biggest value? (a) -4 (b) 1/3 (c) 1/7 (d) 15/4 (e) 309
d
Which is the third smallest value? (a) 1 (b) 17/11 (c) 0.2 (d) -1.23 (e) 28 (f) 0.5
f
What is the second smallest value in -3/4, 20.4, -33141?
-3/4
What is the smallest value in -3512, -0.0282, 0.01?
-3512
Which is the fourth smallest value? (a) -3 (b) -94 (c) 0.2 (d) 323/6
d
Which is the smallest value? (a) 66 (b) -4 (c) -759 (d) 2/15 (e) -6/7 (f) 1/3 (g) -0.1
c
Which is the fifth biggest value? (a) 0.3 (b) 0.2 (c) 4 (d) -0.2 (e) 20 (f) -13/15
d
Which is the fifth smallest value? (a) 0.8 (b) 1/11 (c) 1/5 (d) -19/4 (e) -227/1025
a
What is the third smallest value in -232, -1/110, 1708, -5?
-1/110
Which is the fourth smallest value? (a) 5/4 (b) -568682 (c) 2/11 (d) 14
d
Which is the seventh biggest value? (a) 3/4 (b) -29 (c) 5 (d) -0.1 (e) 2/3 (f) -0.5 (g) -156/19
b
Which is the sixth biggest value? (a) 1/10 (b) -0.4 (c) -0.05 (d) -1.64 (e) -4 (f) 3/2
e
What is the third smallest value in -4/3, 1105/6, -8/5?
1105/6
Which is the biggest value? (a) 2 (b) -2/37 (c) 19 (d) -43/7
c
Which is the biggest value? (a) 215 (b) 0.1 (c) 4 (d) 0.2 (e) 73.41
a
Which is the smallest value? (a) 1 (b) -4 (c) 0.3 (d) 146 (e) -0.2013 (f) 2
b
What is the third smallest value in -0.3, 0.326, -11458?
0.326
Which is the third biggest value? (a) 10954/3 (b) 0 (c) -0.3124
c
What is the biggest value in 0.093, 3, 2, 4, -142/35, -3/5?
4
Which is the fourth biggest value? (a) -0.9 (b) 2 (c) 3.5126 (d) -1/11 (e) -1/5 (f) 1
d
What is the biggest value in -18, -0.1, -73, 4, -3.8, -0.13?
4
What is the third smallest value in -0.59, 2650522, -1/4?
2650522
Which is the third biggest value? (a) -852260 (b) 4/3 (c) 3/4
a
What is the biggest value in -0.54, -4, -16592.93?
-0.54
What is the biggest value in 2/9, 1/3, -0.5, 5, 3, -3, -680?
5
What is the biggest value in -205, -1, -0.023, 1/7, -1/2?
1/7
Which is the biggest value? (a) -2/45037 (b) 0 (c) -4/25
b
What is the fourth smallest value in 0.5, 0, 1, -7.64, 2/2577?
0.5
Which is the third smallest value? (a) -0.3 (b) 0.3 (c) 0.0039 (d) 4 (e) 6 (f) 52
b
Which is the second smallest value? (a) -107445 (b) -2/7 (c) -214
c
Which is the biggest value? (a) 65 (b) -0.5 (c) -135 (d) 2 (e) -0.1 (f) -13/4
a
What is the fourth smallest value in 4, -3, 133, 32.2689?
133
What is the third biggest value in -597891, -9, 28?
-597891
What is the sixth smallest value in 2.458, 0, 0.4, -7, 3, -1/6, -93?
2.458
Which is the fourth smallest value? (a) 2/5 (b) -0.2 (c) -1864 (d) -5.3 (e) -1.14
b
What is the fifth smallest value in 3221.4, -5, 2, 592, -1?
3221.4
What is the smallest value in -182, 7/22, 8, -7?
-182
Which is the second biggest value? (a) 24 (b) -5 (c) -104 (d) 24.7
a
Which is the second biggest value? (a) -53 (b) 0.04635 (c) 5 (d) -0.5 (e) 2
e
What is the sixth biggest value in -3/5, -0.447, 4, 100, 5, -0.5, 1?
-0.5
Which is the biggest value? (a) -0.06 (b) 0.013 (c) 4 (d) 5735 (e) 0.2
d
Which is the fourth smallest value? (a) 9 (b) -8/5 (c) 3/94 (d) -0.1 (e) -5/2 (f) -10
d
What is the second biggest value in -560, -1/3, 0, -0.2195, -0.3?
-0.2195
Which is the smallest value? (a) -4 (b) 0.3 (c) -8 (d) 134 (e) 3 (f) -178 (g) 0.2
f
What is the second biggest value in 3/5, -2/179, 0, -396, 0.2?
0.2
Which is the second smallest value? (a) -1481/60 (b) 11 (c) -1/5 (d) -1
d
What is the smallest value in -274.2, 1.54, -3/2, 2/3, 2, -9/5?
-274.2
Which is the second biggest value? (a) -3 (b) 17 (c) -5.14 (d) -4/3 (e) 5
e
Which is the third smallest value? (a) -0.5 (b) -0.003 (c) -76/105 (d) -2/13 (e) 4
d
Which is the second smallest value? (a) 0.7 (b) -0.2 (c) -22.699 (d) -3/7 (e) 3/5 (f) 0.2 (g) 20
d
What is the sixth biggest value in -3/4, 3/7, -33, -5, -14, 1/9?
-33
|
{
"pile_set_name": "DM Mathematics"
}
|
45*r**5 wrt r.
900*r**3 - 312*r**2
Let z(p) be the third derivative of -2*p**2 - 35/3*p**3 + 0*p**5 - 7/8*p**6 + 0*p**4 + 0*p + 24. What is the derivative of z(c) wrt c?
-315*c**2
Let o(b) be the third derivative of -61*b**6/12 - 14*b**5 - 19*b**2 + 203*b. What is the third derivative of o(v) wrt v?
-3660
Let t(z) be the second derivative of 1173*z**5/10 - 1819*z**4/12 + 31*z - 8. Find the third derivative of t(w) wrt w.
14076
Let m(j) be the first derivative of 2*j + 41 + 0*j**3 - 31/2*j**2 + 9/4*j**4 + 1/5*j**5. Find the second derivative of m(i) wrt i.
12*i**2 + 54*i
Let w(g) = 3930*g**2 + 2537*g - 6. Let o(s) = -3930*s**2 - 2533*s + 9. Let z(i) = -2*o(i) - 3*w(i). Find the second derivative of z(x) wrt x.
-7860
Let q(n) be the second derivative of 41*n**6/15 - 1051*n**4/12 - 4*n - 66. What is the third derivative of q(a) wrt a?
1968*a
Let p(a) be the third derivative of 0 - 157*a**2 + 145/24*a**4 + 0*a - 59/3*a**3. What is the derivative of p(s) wrt s?
145
Let y(k) be the first derivative of 3989*k**3/3 - k**2 - 6847*k + 2744. Find the second derivative of y(f) wrt f.
7978
Differentiate -934 - 180*k**3 - 355 + 9*k**3 - 821*k**3 wrt k.
-2976*k**2
Let b(k) be the second derivative of -25*k**6/2 - k**4/2 - 962*k**3/3 + 4648*k. Find the second derivative of b(f) wrt f.
-4500*f**2 - 12
Let r(t) be the first derivative of -13 - 1/5*t**5 + 0*t - 85/3*t**3 + 23/4*t**4 + 0*t**2. Find the third derivative of r(d) wrt d.
-24*d + 138
What is the first derivative of 3257*f + 1149*f - 5693 - 105*f wrt f?
4301
Let t(m) be the first derivative of 3*m + 0*m**2 - 5/3*m**3 - 59/4*m**4 + 48. Find the third derivative of t(f) wrt f.
-354
What is the first derivative of 2*c**3 + 62*c**2 - 1036 - 2*c - 849 - 299 + 6547 wrt c?
6*c**2 + 124*c - 2
Let d(v) = v - 8 - 2*v - 3*v + 5*v. Let o be d(9). Find the first derivative of o - 10*f - 3 + 2 + 1 wrt f.
-10
Let m = -48 - -50. Let c(d) = -11*d**4 - d**2 - 19. Let j(q) = q**4 + q**2 + q. Let k(l) = m*j(l) + c(l). Find the second derivative of k(i) wrt i.
-108*i**2 + 2
Let v(g) be the first derivative of 6*g**5 - g**4/4 + 1354*g**3/3 - 660. What is the third derivative of v(z) wrt z?
720*z - 6
Let n(m) be the third derivative of 325*m**8/84 - 457*m**4/12 + 61*m**2 + m. What is the second derivative of n(l) wrt l?
26000*l**3
Suppose 4*p - 870 - 690 = 0. What is the third derivative of -9*h**3 + 257*h**2 + 9*h**3 + 141*h**4 - p*h**2 wrt h?
3384*h
Let g be 12/(-3)*46/(-8). Differentiate 15*q + 26*q**2 + 8*q - g*q - 35 with respect to q.
52*q
Find the second derivative of -569 - 6731*z**3 - 1101 + 13868*z**3 + z - 259 wrt z.
42822*z
Let x(z) be the second derivative of 0*z**3 + 0 - 1/4*z**4 - 40*z - 1/30*z**6 + 9/2*z**2 - 7/5*z**5. What is the third derivative of x(r) wrt r?
-24*r - 168
Let g(r) = r**2 - 21*r + 114. Let p be g(11). Let i = -12 - -23. What is the first derivative of -i*w**4 + 3 + 0*w**p + 12 wrt w?
-44*w**3
Let q(t) = 985*t**3 + 3*t**2 + 3*t - 1639. Let p(i) = -2955*i**3 - 8*i**2 - 8*i + 4912. Let g(r) = -3*p(r) - 8*q(r). Differentiate g(m) wrt m.
2955*m**2
Let p(w) = 71*w**2 - 52*w - 2676. Let r(o) = -24*o**2 + 17*o + 891. Let h(z) = -3*p(z) - 10*r(z). What is the derivative of h(f) wrt f?
54*f - 14
Let o(c) be the third derivative of c**2 - 3/2*c**3 - 2 + 17/60*c**5 + 0*c - 1/12*c**4. What is the second derivative of o(y) wrt y?
34
Find the third derivative of -816*s**5 + 77*s**4 + 3525*s**2 - 31 + 31 + 15*s**5 - 73*s**4 wrt s.
-48060*s**2 + 96*s
Let w be ((-18546)/55)/(-3*(-2)/(-20)). What is the third derivative of -18*c**2 + w*c**3 - 2*c - 1065*c**3 - 5*c**2 wrt c?
354
Suppose -n - 6 = -5*v + 4, -5*n = 0. Find the third derivative of -3*h**3 - 1 + 3*h**3 - 1337*h**4 + 1349*h**4 - 21*h**2 + v*h**5 wrt h.
120*h**2 + 288*h
Suppose p = 5*t - 95, -2*p + 0*p = 3*t - 57. Find the second derivative of 150*m - 2*m**5 + 17*m + 12*m + t*m**4 wrt m.
-40*m**3 + 228*m**2
Suppose -4*l + 12*t - 8*t = -44, l - 2*t - 12 = 0. What is the second derivative of -10*u**2 + 51*u + 32*u**2 + 59*u + 12*u**3 - l*u**2 - 15*u**2 wrt u?
72*u - 6
Let a be (-6)/(-8)*(-8)/9*-3. Let h = 2 + a. Find the second derivative of 4*l**2 - 35*l**4 + 52*l**4 - h*l**2 + 17*l wrt l.
204*l**2
Let c(u) be the first derivative of -68*u**7/7 + 3*u**5/5 + 220*u**3 + 715. Find the third derivative of c(g) wrt g.
-8160*g**3 + 72*g
Let l(k) = 5428*k**2 - 2823*k - 30. Let u(a) = 27138*a**2 - 14114*a - 140. Let i(r) = 14*l(r) - 3*u(r). Find the second derivative of i(p) wrt p.
-10844
Suppose 4*o - 14 = 2*m, 5*o - 7*m = 17*m + 82. Suppose 5*w - 15 = 2*w. What is the third derivative of -38*r**o - 142*r**4 + 142*r**4 + r**5 - 8*r**w wrt r?
-420*r**2
Suppose -4*j + 37 = -0*j - 5*i, -i + 7 = j. Let z = j + -3. Find the third derivative of 348*g**2 + 5*g**5 - 22*g**z - 354*g**2 wrt g.
-1020*g**2
What is the third derivative of t**2 + 2*t - 1839*t**5 + 45 - t + 913*t**5 + t**4 - 5*t**6 + 9*t**3 + 926*t**5 wrt t?
-600*t**3 + 24*t + 54
Suppose -2*g + 2*i + 62 = 0, 3*i - 111 = -2*g - g. Suppose 4*d - g = -6. Find the first derivative of -d*n**2 + 14 - 11*n + 11*n wrt n.
-14*n
Let i(r) = -12*r**2 - 29. Let y(l) = 0*l - 234 + 0*l + 220 - 6*l**2. Let c = -16 - -13. Let m(x) = c*i(x) + 7*y(x). What is the derivative of m(w) wrt w?
-12*w
Let j(z) = -5552*z**2 - 96*z - 2161. Let m(g) = 3*g**2 + 16*g + 1. Let t(f) = -j(f) - 6*m(f). What is the derivative of t(o) wrt o?
11068*o
Let r(b) be the third derivative of 29*b**7/2520 + b**5/5 + b**4/12 - b**3/6 + 7*b**2 - 1. Let x(y) be the second derivative of r(y). Differentiate x(g) wrt g.
58*g
Let m(g) = 34*g**3 - 16*g**2 - 12*g - 2289. Let q(a) = 63*a**3 - 33*a**2 - 27*a - 4579. Let w(h) = -9*m(h) + 4*q(h). Differentiate w(y) wrt y.
-162*y**2 + 24*y
Let f(r) be the second derivative of -3*r**8/28 + 79*r**5/20 + 679*r**4/3 + 161*r + 7. Find the third derivative of f(n) wrt n.
-720*n**3 + 474
Let b(r) = -10*r + 47. Let z be b(4). Find the third derivative of 15*w**6 - z*w**6 - 3*w**6 + 2*w**2 + 1 + 9 wrt w.
600*w**3
Let l be 454 + 3 + 1 - (5 - 3). What is the third derivative of 8 - 35 + 458*o**2 - l*o**2 + 8*o**6 wrt o?
960*o**3
Let t(g) be the second derivative of -1654*g**7/7 + 1569*g**3/2 + 3941*g - 1. Find the second derivative of t(v) wrt v.
-198480*v**3
Let h(l) be the third derivative of -389*l**6/30 - 487*l**5/30 - l**2 - 41*l. Find the third derivative of h(s) wrt s.
-9336
Let r(y) be the second derivative of -82*y**4/3 - 386*y**2 + 697*y. Find the first derivative of r(a) wrt a.
-656*a
Let y(h) = 9*h - 24. Let k(p) = -3*p + 2. Suppose -5 = 3*j - 4*g, 3*g = -j - 0*g + 7. Let i(x) = j*y(x) + 2*k(x). Differentiate i(o) with respect to o.
3
Let s = 169 + -145. Find the third derivative of 9*h**2 + s - 24 + 31*h**6 - 4*h**6 wrt h.
3240*h**3
Let k(i) = -i**2 + 8*i + 70. Let h be k(11). Find the first derivative of h*t + 70*t + 3058 - 3105 wrt t.
107
Let r(v) be the first derivative of -271*v**6/2 - 2*v**5/5 - 2*v**3/3 - v**2 + 3160*v - 9542. Find the second derivative of r(i) wrt i.
-16260*i**3 - 24*i**2 - 4
What is the derivative of -15 + 139*z**3 - 44*z - 67 + 75*z**3 + 44*z wrt z?
642*z**2
Let q = -364 - -358. Let r(s) = -159*s - 97. Let l(z) = -315*z - 193. Let v(c) = q*l(c) + 11*r(c). What is the derivative of v(u) wrt u?
141
Let x = 14733 + -58909/4. Let k(b) be the first derivative of x*b**4 + 0*b + 0*b**2 + 9*b**3 - 15. Find the third derivative of k(m) wrt m.
138
Let l = -327 + 357. What is the derivative of l + 9*r**4 - 5*r**4 + 28 - 1 - r**2 wrt r?
16*r**3 - 2*r
Let s = 2170 + -2168. Let d(t) be the second derivative of 11*t + 0*t**s - 1/2*t**4 + 0 - 13/6*t**3. Find the second derivative of d(c) wrt c.
-12
Let u(f) be the second derivative of -93*f**2 - 303*f + 0 - 83/3*f**3. Differentiate u(d) wrt d.
-166
What is the second derivative of -502*m**2 + 405*m**2 + 3*m + 130 - 2417*m**2 wrt m?
-5028
Let k(v) be the second derivative of 5*v**5/2 + 4*v**3 + 659*v**2 - 1615*v. Differentiate k(q) wrt q.
150*q**2 + 24
Suppose -10*f - 16 = -14*f, 5*g - 4*f - 9 = 0. What is the second derivative of -22*c**g - 46*c**5 + 3*c - 11 + 35 - 80*c**5 wrt c?
-2960*c**3
Let q(o) be the first derivative of 34*o**5/5 - 3*o**4/4 + 2471*o + 2396. Differentiate q(r) wrt r.
136*r**3 - 9*r**2
Let y(c) be the second derivative of -19
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 0*t + 2488208 to the form o + d*t**4 + u*t**3 + c*t + v*t**2 and give o.
-1
Rearrange 1338*q - 72*q - 567*q + 323*q + 1419*q to the form b + p*q and give p.
2441
Rearrange 2 - m**3 - 2*m**3 - 58735*m + 56523*m to z + s*m**2 + a*m + y*m**3 and give a.
-2212
Express i - 16*i**2 + 9 + i**3 + 23 + i**3 + 0*i**3 as w*i**2 + u + a*i**3 + g*i and give w.
-16
Rearrange 13160775 - 13160775 + 2077*x**2 to i*x**2 + s + b*x and give i.
2077
Rearrange 63*p**2 + 1392 - 1392 + 0*p - 2*p**2 + 0*p + (9*p - p + 0*p)*(-p + p + p) to x*p**2 + g + t*p and give x.
69
Rearrange (-2 + 7 + 1)*(b**2 - 5*b**2 - b**2) + 48 + 55 + 6*b**2 - 107 to the form q*b**2 + t*b + x and give q.
-24
Rearrange -6*b - 12*b**2 + 4 + 8*b - 22*b - 8*b to s*b + w + c*b**2 and give w.
4
Express 514*l + 510*l - 1029*l - 2612 in the form x + c*l and give x.
-2612
Express 0*v**2 + 8*v**2 + 3*v**4 - 1113*v + 1115*v - 2 as a*v + m*v**2 + h + t*v**4 + u*v**3 and give t.
3
Rearrange 18*n**2 + 5*n**2 - n**3 - 34*n - 22*n**2 - 6 + 34*n to the form u*n + x*n**2 + t + o*n**3 and give o.
-1
Rearrange 668*p + 2410*p + 293*p + 1486*p - 704*p to s + x*p and give x.
4153
Rearrange -341 - 18*u + 90 - 56 to y*u + p and give y.
-18
Rearrange 20599 + 11596*t - 41189 + 20590 to i + q*t and give q.
11596
Rearrange 672 - 6409*d - 724*d - 672 - 4672*d to the form n*d + q and give n.
-11805
Express (7*d - 27 + 0 - 5*d + (-2 + 1 + 3)*(48 - 48 + 81*d))*(-d + 2*d - 4*d) in the form f*d**2 + r + m*d and give f.
-492
Express ((-4 - 2 + 5)*(4 - 3 + 0) - 2 + 1 + 14)*((3*s - 2*s - 3*s)*(-1 + 1 - 2) - s + 1 - 1 + 15*s - 59*s - 9*s + s - 3*s - s) in the form v*s + i and give v.
-636
Express (0 - 4 + 2)*(72870 - 1429*b - 72870) - 1 + b + 1 + (1 + 3 + 0)*(-2*b + 1 - 1) as q*b + g and give g.
0
Rearrange ((-5 - 1 + 2)*(2 + 3 + 0) - 5 + 2 + 2)*(3*d**2 - 33 + 165840*d - 165840*d) to k*d**2 + f*d + y and give k.
-63
Rearrange -429*m + 2834*m - 295*m to the form w + y*m and give y.
2110
Rearrange 488*n + 9085*n + 8163*n + 1133*n - 2790*n to the form w + m*n and give m.
16079
Express 326*r + 515*r**2 + 222*r - 255*r**2 - 262*r**2 in the form q + l*r + t*r**2 and give t.
-2
Rearrange -26*d + 403 - 456 - 20*d to the form g*d + r and give g.
-46
Rearrange -8*k - 1 - 2*k**4 - 2*k**2 - 117*k**3 + 118*k**3 - 3*k - 7*k to t*k + w + y*k**3 + m*k**2 + p*k**4 and give w.
-1
Express (238 - 54*f + 31*f + 24*f)*(15*f - 20*f - 21*f) in the form h*f + o + w*f**2 and give w.
-26
Express 259*h**2 - 264*h**2 - 10668 + 10676 - 8*h in the form c*h**2 + d*h + l and give d.
-8
Rearrange (0*q - 3*q + 2*q)*(930 - 3*q**2 - 1859 + 96*q + 927) to the form g*q**2 + n*q**3 + y + m*q and give n.
3
Express (1 - 1 + w**2)*(2*w**2 - 4 + 4) - 3*w**4 + 5 - 5 - 1889*w**3 + 1889*w**3 + 612*w**4 in the form l*w**2 + b*w + d*w**3 + o + p*w**4 and give p.
611
Rearrange -10*o + 155*o**2 - 240 + 122 + 119 - 2*o**2 to r*o + h + y*o**2 and give r.
-10
Express -60*f + 687 - f**2 - 684 + f - 3*f**3 in the form q + k*f + l*f**3 + g*f**2 and give k.
-59
Express -49*b - 42 + 0*b + 6*b + 6*b as w*b + j and give j.
-42
Express 2*v**2 + 0*v**4 + 4 - 927*v**3 - 6*v**4 + 553*v**3 + 369*v**3 + v as r*v + q*v**4 + k + p*v**2 + t*v**3 and give t.
-5
Rearrange 40*i**2 - 143 - 38*i**2 + 297 + 27*i - 150 to the form d*i + a*i**2 + s and give d.
27
Express (2*t**2 + 0*t**2 - 4*t**2)*(-1 + 1 - t) - 299*t**3 + 89*t**3 - 551*t**3 - 3*t**3 - 3*t**3 + 4*t**3 as q*t + b + z*t**3 + s*t**2 and give z.
-761
Express (-25*x - 33 + 33 + x - 3*x + 4*x + (-5*x + 0*x + 4*x)*(-3 + 5 - 1))*(-575*x**2 + 576*x**2 + 240 - 996) in the form i*x**2 + s + m*x**3 + d*x and give d.
18144
Express (-7*d - 20 + 20)*(7*d - d + d) - 8 - 1 + 8*d**2 + 10 in the form a*d + g*d**2 + y and give y.
1
Express -1 + 2 + 155*r**2 + 130*r**2 - 112*r**2 in the form p*r + f + b*r**2 and give b.
173
Express (-5*f + 4*f - f)*(-7189*f + 44812*f + 4129*f + 25173*f) as r*f**2 + k + w*f and give r.
-133850
Express (-1 - 1 + 3)*(-1992 + 929 - 2902)*(a - 2*a - a + (2*a + 3*a - 4*a)*(-2 + 2 - 1)) in the form g*a + w and give g.
11895
Express 1567*a + 220*a + 845*a - 1012*a + 1930*a as t*a + n and give t.
3550
Express 35*k + 672 + 525 - 1001 as q*k + n and give q.
35
Express (7*o - 14*o - 11*o)*((6 + 4 - 5)*(3 - 3 + 2) + 3 - 6 + 1)*(13*o**2 - 3*o**2 + 2*o**2) as p*o**3 + v + n*o + u*o**2 and give n.
0
Express -29 - 2*b + 2*b**3 + 544*b**4 - 6*b**3 - 548*b**4 + b**2 as k + q*b**4 + w*b + y*b**2 + a*b**3 and give q.
-4
Express (0*w**2 + 0*w**2 + w**2)*(-5*w + 0*w + 4*w) - 2622492*w + 3556*w**3 + 2622492*w as k*w + m + p*w**3 + z*w**2 and give p.
3555
Rearrange -2056*f + 17792 - 8864 - 8928 to o + l*f and give l.
-2056
Express -21 - s - 11 + 255*s**2 + s**3 - 521*s**2 + 265*s**2 in the form p*s**3 + c*s + h + x*s**2 and give c.
-1
Express 13*a**3 + 867*a**2 - 163*a**4 + 764*a**2 - 1628*a**2 as u + f*a**2 + i*a**4 + z*a**3 + g*a and give i.
-163
Express (-109 + 109 + 5*f)*(227 - 44 + 249)*(-f + 4 - 4) in the form q + n*f**2 + d*f and give d.
0
Express -4988 + 9974 + 3036*o + 8*o**3 - 7*o**3 - 4984 as b*o + z*o**3 + u + x*o**2 and give b.
3036
Rearrange -18*b**2 - 789791 + 394922 + 394943 to a*b + l*b**2 + u and give l.
-18
Rearrange a**4 + 2*a**2 + 1877*a + 1869*a + 0*a**2 - 7 - 5632*a - 2*a**3 + 1856*a to the form i*a**2 + w*a**4 + b*a + p*a**3 + y and give w.
1
Rearrange -176*p + 725 + 56*p + 53*p + 58*p to the form q + c*p and give q.
725
Rearrange 17 + 15 - 6 - 12 - 2*i**2 - 5 + 670*i**3 to a + s*i**3 + o*i**2 + j*i and give a.
9
Express (5 + 0 - 4 + (0 - 3 + 1)*(2 - 1 - 2) + 7 - 4 + 4)*(8*h**3 - 309*h + 309*h + (-2 - 4*h**2 + 2)*(-4*h + 2*h - h)) as b*h + v*h**3 + d*h**2 + m and give v.
200
Express 1000*k - 3808*k - 1103*k - 1566*k - 2095*k in the form f*k + u and give f.
-7572
Express -11*t**2 - 6*t**2 + t**3 + 23*t**2 - 2 + 13*t**3 - 14*t**4 + 0 as f*t**2 + y*t + n*t**3 + u*t**4 + d and give d.
-2
Express 329*y**2 - 670*y**2 + 239*y**2 + (4*y - 3*y - 2*y)*(3*y - 6*y - 16*y) as v*y**2 + o*y + c and give v.
-83
Express (0*a + 0*a - 2*a)*(3 - 7*a**2 - 3) + (-6*a**2 + 2*a**2 + 3*a**2)*(-2094 - 305*a + 2094) as h*a + k*a**2 + c*a**3 + u and give c.
319
Express 2*o**4 - 2 + 14*o**3 - 31*o**3 + o**2 + 19*o**3 + 163*o - 179*o in the form p + r*o + m*o**2 + h*o**4 + z*o**3 and give z.
2
Rearrange (1 + 4*v**2 - 1)*(-4*v + 4 - 4) + (-84*v**3 - 66*v**3 + 64*v**3)*(1 + 3 - 6) to g*v**3 + m*v**2 + t + q*v and give g.
156
Rearrange 58 - 55 - 1 - 3984*i to b + s*i and give s.
-3984
Rearrange (81 + 2 + 24)*(-116*m + 76*m - 101*m) to o + z*m and give z.
-15087
Rearrange (0*h - 199 + 68 - 22*h + 82)*(3*h**3 - 4*h**3 - 3*h**3) to q*h + d*h**3 + y*h**4 + u + m*h**2 and give d.
196
Rearrange -185*l + 9*l**4 + 185*l - 357 + 358 + 54*l**2 to the form q*l**2 + n + h*l + x*l**3 + r*l**4 and give n.
1
Rearrange -11*j + 7 - 9*j**3 - 3*j**4 + 10*j - 12 + 2*j**2 + 3 - 37*j**3 to the form p*j**2 + h*j**4 + z + u*j**3 + q*j and give q.
-1
Express 2118 - 4227 + 2109 - 4276*l in the form t*l + r and give t.
-4276
Rearrange (264*n**2 + 6 - 288*n**2 + 13*n - 14*n)*(-6 + 12 - 25) to the form q + v*n + x*n**2 and give q.
-114
Rearrange 8*s**2 - 238*s**3 + 239*s**3 - 17*s + 1 + 30*s + 2*s**4 to the form p*s**3 + l*s**2 + g + d*s**4 + n*s and give p.
1
Express ((4 - 1 - 4)*(-2 + i + 2) - 2*i + 0 + 0 + i - 37*i - 140*i)*(27 + 34 + 7)*(-3 - 1 + 3) in the form r*i + j and give r.
12172
Rearrange (3*g + 84*g**2 - 3*g)*(-2*g + g + 5*g) to the form f*g**3 + r*g**2 + m*g + u and give f.
336
Express -1658*l**2 + 555*l**2 + 404889 - 404889 as p*l**2 + n*l + j and give p.
-1103
Express (1 - 7*s + 0 - 3)*(-526 - 2243 + 367 - 3370 - 315) in the form k + i*s and give k.
12174
Express -f**2 + 2002*f - 4031*f + 34*f**2 + 1998*f as q + g*f + d*f**2 and give g.
-31
Rearrange -4*k**2 - 4 + 15*k - 2 - 10*k + 5 + 2*k**4 - 36*k**3 + 5*k**2 to p*k + v*k**3 + y + h*k**4 + o*k**2 and give h.
2
Express (-2 + 6 - 4*u + 5*u)*(27 - 63 + 24) + (3*u - 2*u + u)*(-134 + 26 - 13) in the form d*u + c and give c.
-48
Rearrange (294 + 91 + 201)*(-2 + 2 - 1)*(-7*d**2 + 4*d**2 + d**2) to the form a*d + n + t*d**2 and give t.
1172
Rearrange -2*o**2 - 5*o**2 + 3*o**2 + 2*o**2 - 232*o - 1 + 35*o - 2*o**3 - 2*o**4 to b*o**2 + q + g*o**4 + l*o + n*o**3 and give l.
-197
Express 2*k**3 - 57*k**4 + 102*k**2 + 154*k**4 -
|
{
"pile_set_name": "DM Mathematics"
}
|
or t.
0
Solve 0 = 2*k + 8*j - 36, -6*j + 7*j = -2*k + 15 for k.
6
Solve -l - 3*r = 8, -1389*r + 16 = -1393*r for l.
4
Solve 3*r = -s + 40, -326*r + 10 = -325*r - 3*s for r.
13
Solve 3*k + 0*k - 2*p = 28, -3*k + 26 = -p for k.
8
Solve -1939*n + 3*r = -1942*n - 36, -3*n + 3*r = -36 for n.
0
Solve -40*f + 6*f - 504 = -3*c, -2*f - 24 = -3*c for f.
-15
Solve -4*f - 48 = -84*z + 88*z, -5*z + 31 = -2*f for f.
-13
Solve -13 = p - 5*n, 14*p = 12*p - 5*n + 19 for p.
2
Solve 12 = -h + 4*b, 4995 = -2*h + 3*b + 4986 for h.
0
Solve 4*y = -m - 2, -377*m - 5*y = -382*m - 10 for m.
-2
Solve -5*c - 16 = -4*q - 0, 0 = 11*c + 4*q + 48 for c.
-4
Solve 4*u - 22 = -2*w, 4*u + 47*w = 46*w + 17 for u.
3
Solve -j - 2 = 14312*i - 14311*i, -4*i + 5*j = -55 for i.
5
Solve -s - 10 = -4*c - 16, 6*s + 2*c - 36 = 0 for s.
6
Solve 0 = -3*b + l - 17, -711*b + 709*b - 3 = l for b.
-4
Solve 52*s - 56*s = -n + 72, 5*s = -5*n - 65 for n.
4
Solve -113 = u + 3*g - 125, -g + 2 = u for u.
-3
Solve -709*l - 2*a = -713*l + 18, -l = -a - 5 for l.
4
Solve -3*c - 21 = -2*o, 3*c + 246 - 225 = o for o.
0
Solve -218*m = -223*m + 4*y - 25, 5 = -m + 5*y for m.
-5
Solve 7*l + 3*s - 24 = 0, -5*l = 3*s - 24 + 6 for l.
3
Solve -5*r + 5*w - 30 = 0, 116*w - 113*w - 11 = -4*r for r.
-1
Solve -4*c - 38 = -2*j + 8, 2*j = 5*c + 49 for j.
17
Solve 21 = -3*r, 0 = -252*f + 249*f + 2*r - 0*r - 1 for f.
-5
Solve 0 = -4*u - 5*d + 27, u + 81*d = 82*d for u.
3
Solve -3*g - 4 = k, 4*g - 7790 + 7795 = -k for g.
-1
Solve 11*u + 5*a - 8 = -0, 4*u - 4*a = 32 for u.
3
Solve 82 - 57 = -5*u, 2*u + 30 = 4*i for i.
5
Solve -8*i - 4*q + 23 = -3*i, 10 = 5*q for i.
3
Solve -13*t + 10*t + 2*g + 5 = 0, -7*t + 3 = 4*g for t.
1
Solve 9 = 3*q, -9509*q - 9 = 4*z - 9508*q for z.
-3
Solve -24*g - 76 = -21*g - 5*y, -5*g - 3*y + 32 = 0 for g.
-2
Solve 5 - 35 = 8*g - 2*k, -4*g + 8*k - 64 = 0 for g.
-2
Solve 0 = -2*w + y - 7, -8 = 114*w - 111*w - y for w.
-1
Solve -5*p = 2*v + 1, 4*p + 1229 = -v + 1224 for v.
7
Solve 5*t - 173*c = -178*c + 5, 5*t = -4*c + 4 for t.
0
Solve 4*p + 2*z - 26 = 0, -293*z + 89 = p - 309*z for p.
9
Solve -2*l = -x - 8, -121*l = 5*x - 247*l + 124*l for x.
2
Solve -5*k + 783*h = 786*h + 14, -5*k + h = 2 for k.
-1
Solve 0 = 4*f - 4*b + 244 - 272, 5*b = -2*f for f.
5
Solve -67*w = -2*q - 64*w, -w = 4*q for q.
0
Solve 6*x = -2*p + 75 - 43, 2*p + 5 - 5 = 2*x for p.
4
Solve w - y = 0, -264*y + 266*y - 15 = 5*w for w.
-5
Solve 0 = -2*q + 6*r + 68, 2*q + 5*r - 3853 = -3906 for q.
1
Solve 10*m - 64 = 2*u, -158*m + 23 = -156*m + 3*u for m.
7
Solve 0 = 4*l + 4*c - 192 + 204, 4*c = l - 17 for l.
1
Solve 0 = 3*g + 66, 0 = 1604*n - 1608*n + 2*g + 36 for n.
-2
Solve -t - 2*y = 0, -4*y - 5 = 8*t - 10*t + 3 for t.
2
Solve 3*f - 4*x - 8 = 0, 861*f - 862*f + 2 = -2*x for f.
4
Solve 5*r = -5*l - 199 + 204, -5*r + 3*r = -3*l - 22 for l.
-4
Solve 270*y - 267*y = -w - 21, 0 = 3*w - 5*y - 21 for w.
-3
Solve -2*b = -3*p, 59418*b - 59421*b - 8*p - 25 = 0 for b.
-3
Solve 0 = -9*w + 2*u + 17, -190*w - 3*u - 16 = -194*w for w.
1
Solve c - 20 = -z, -7 = 4*c - 56 - 15 for z.
4
Solve 0 = -6*q - 2*r + 5*r + 15, -5*q - 782*r = -779*r - 40 for q.
5
Solve z = 4*n + 398 - 379, -n + 9 = -3*z for z.
-5
Solve -5*r + 2*s = 7, 4*r - 15240*s + 20 = -15242*s for r.
-3
Solve 4*m - 4*m = -2*t, -16*m + 8 = -14*m + t for m.
4
Solve -4 = 54*s - 49*s - 3*p, 4*s + 5*p + 55 = 0 for s.
-5
Solve 4*t = 3*q + 2751 - 2790, 0 = 6*q - 5*t - 69 for q.
9
Solve -36*t = -5*a - 40*t - 13, 2*t + 9 = -3*a for a.
-5
Solve 75 = -u + 77, 4*r - 8 = -2*u for r.
1
Solve 0 = x + 232 - 227, a - 4*x - 22 = 0 for a.
2
Solve 20*w = f - 64, 127*f + 4 = 131*f + 4*w for f.
4
Solve -541*i - 12 = -538*i - 2*q, q = 7*i + 17 for i.
-2
Solve -4*t = 5*k + 11, -21*t = -2*k + 30 + 56 for t.
-4
Solve -2*c + 2 = -4*f + 12, 2*f + 383 = 3*c + 378 for c.
5
Solve -2 + 5 = 5*w - g, 0 = 2*w - g + 3 for w.
2
Solve w + 1122 = 5*q + 1156, 0 = -3*q + 3*w - 42 for q.
-5
Solve 49 = 4*q + 6*x + 3, -5*q - 3*x + 35 = 0 for q.
4
Solve -2*w + n = -971 + 973, -2*w + 4*n - 14 = 0 for w.
1
Solve -5*g + 1 = -4*t - 38, 5*t + 4*g + 18 = 0 for t.
-6
Solve b - 4*y = -45 + 53, 19*b + 3*y = 73 for b.
4
Solve -y + 5*l + 472 = 427, 5*y = -3*l + 1 for y.
5
Solve 4 = 3*m + 3542*k - 3546*k, -4*m - 2*k = 2 for m.
0
Solve 7*i = -112, -16027*i = -4*o - 16032*i - 84 for o.
-1
Solve 24*j = -4*x + 22*j + 20, -32*j + 134 = 2*x for x.
3
Solve 4*i + 4*q = -8, 0 = 92*i - 88*i - 2*q + 26 for i.
-5
Solve -4*g + m - 13 = 0, 8*m - 1012 = -2*g - 1044 for g.
-4
Solve 0 = -11*h + 3*j + 21, 5*h - j = -13 + 24 for h.
3
Solve -5*h = -h - 3*f + 13, -3*f = 3 for h.
-4
Solve -z + 25 = 3*f, 190*f = -2*z + 186*f + 32 for z.
-2
Solve 2*l + 4*k = 8, -3846*l - 4*k - 76 = -3850*l for l.
14
Solve h + 111*s = 108*s - 4, 2*h + 4*s = -16 for h.
-16
Solve 2*y = -12*v + 44, -10*v + 12*v - y = 2 for v.
3
Solve 14 = -5*h + 3*d, -45*d + 10 = -50*d for h.
-4
Solve -4*t - 2 = 6*h, -97 = 3*t + 2*h - 98 for t.
1
Solve 6*o - 5*a = 7*o - 10, o - 4*a = -8 for o.
0
Solve 68*j + r - 205 = 0, 9*j - 5*j - 13 = -r for j.
3
Solve -4*j = -6*a - 26, 4*j + 133 - 152 = -a for j.
5
Solve 3*y + 1 = 2*d, y - 476*d = -471*d - 22 for y.
3
Solve -3*s = 2*j + 15, 3*j - 16*j - 20 = -11*j + 4*s for j.
0
Solve -j - 3 = 0, -151*c + 150*c - 5*j - 18 = 0 for c.
-3
Solve 1130*y - 1128*y + 6*t = 40, 4*y + 0*t - 5*t + 22 = 0 for y.
2
Solve -5*y - 5 = -2*d, -y - 3663 + 3680 = -4*d for d.
-5
Solve -86 = 2*y - 7*y + 11*f, -y + 34 = -5*f for y.
4
Solve 0 = 3*r - 33, -5*l - 16 = -4*r - 1 + 14 for l.
3
Solve -4*m + 12 = 2*t, 2*m = 9805*t - 9801*t - 14 for m.
1
Solve -7*o + 2*o + 80 = -3*j, 3*j - 2*o = -41 for j.
-5
Solve -5*c + 2*s = -8*c - 1, -32 = c + 7*s for c.
3
Solve 5*z - 25 = 0, -136 = -2*g - 11*z - 65 for g.
8
Solve 0 = -a + d, -5*a + 1358 - 1365 = 2*d for a.
-1
Solve -3*x + 67 - 56 = -2*t, -5*x - 12 = -t for x.
-5
Solve 37 - 73 = -q - 8*o, 16 = 3*q + o for q.
4
Solve 81*z - 86*z + 3*o - 7 = 0, -5*o + 1 = -3*z for z.
-2
Solve 2*x + 4*g = 28, -2107*g = -3*x - 2111*g + 34 for x.
6
Solve 5*g - 36 = 6*x, -4*x + 5*g - 119 = -85 for x.
-1
Solve -k + 235 = -3*h + 245, 4*h - 24 = -4*k for k.
2
Solve 10*g + 4*z - 18 = 0, 2186 = -g + 2*z + 2183 for g.
1
Solve m - 10 = 3*t, -65 = -3*t - m - 67 for t.
-2
Solve -559*l + 561*l = -4*m + 16, -4*m + 2*l = -16 for m.
4
Solve -371 = -7*x - 329, -3*x + 24 = -3*t - 0*x for t.
-2
Solve 4*m + 14 = -y, 4*y - 2*m - 376 = -360 for y.
2
Solve -5*f - 60 = 5*g, -5*f - 3*g + 166 - 212 = 0 for f.
-5
Solve q + 23 = -5*w, 3*q = w + 50 - 55 for w.
-4
Solve -4*z - 13134 = -3*l - 13122, -5*l = -3*z - 9 for z.
-3
Solve -o + 2*y + 17 = 0, 2*y - 331 = 5*o - 392 for o.
11
Solve g - 3 = -4*a, -2280*g + 2279*g - 29 = -4*a for g.
-13
Solve -213*b + 213*b = -u + 4, 3*u + 2*u = 2*b + 22 for b.
-1
Solve -217*g + 215*g = 3*h + 2, 2*h - 28 = 6*g for g.
-4
Solve 1 + 23 = 4*b - 4*u, -9*b - u = -14 for b.
2
Solve x = -3*f + 17, 3*f - 9822*x = -9821*x + 13 for f.
5
Solve 4*i + s = 11, 15*i + 2*s - 16 = 13*i - 2*s for i.
2
Solve -119*b = -4*q + 563, -2*q - 48*b = -47*b + 21 for q.
-8
Solve -4*o - s = 4*s + 35, -s - 23 = 4*o for o.
-5
Solve 2*m - f = 5, -1023*m + 5*f = -1026*m - 64 for m.
-3
Solve 213 + 77 = 2*g - 65*k, 4 = -13*k + 12*k for g.
15
Solve -2225*h - 1 = 5*y - 2223*h, 0 = -5*y - 4*h + 3 for y.
-1
Solve -5*w - 6 = -3*a, -4*w + a = 55 - 46 for w.
-3
Solve -3*r - 141 = 5*u - 3*u - 152, -12 = -3*u for r.
1
Solve 5*f - 14*g - 16 = -12*g, -8 = -3*f + 2*g for f.
4
Solve -156*o + 155*o + 27 = 4*g, 5*o = 2*g + 3 for g.
6
Solve -2*n + 2*m - 1747 = -1773, 4 = -m for n.
9
Solve -4*k = w + 19, 10*w - 14*w = -k - 9 for k.
-5
Solve 4*t = -14641*f + 14636*f - 35, 0 = -f + t + 2 for f.
-3
Solve 4*k = 2*w - 22, -19 = 5*k - 148*w + 154*w for k.
-5
Solve 2*c = v + 3, 2955 - 2967 = -3*c + 4*v for c.
0
Solve 2*c + 67 = -5*s, -16*s - 64*c + 67*c - 205 = 0 for s.
-13
Solve -7 = 5*s - 2*y, 268*s - 264*s + 8 = 2*y for s.
1
Solve -5*y + 21 = -3*u, -5*u + 1016*y = 1020*y - 2 for u.
-2
Solve -3*c + 3*c + 5*o - 9 = -c - 27, 0 = -3*o for c.
-18
Solve -j - 6 = 3*l, 3*j - 24 = -5*l + 10*l for j.
3
Solve 26 = 2*h - 4*g, 14 - 8 = 2*h + g for h.
5
Solve -2*x - 5*y = 8, -9*y = x + 49 - 58 for x.
-9
Solve 0 = -2*j + 2*d - 12, -38*j - 18 = -35*j - d for j.
-6
Solve 0 = -1112*a + 1110*a - 4*q - 14, -4*a - 13 = 5*q for a.
3
So
|
{
"pile_set_name": "DM Mathematics"
}
|
out replacement from {g: 1, e: 2, a: 1}?
1/6
Two letters picked without replacement from nzrrirzwnrwnzinnn. Give prob of sequence rw.
1/34
Three letters picked without replacement from zcuceuzuccy. What is prob of sequence ycu?
2/165
What is prob of sequence ktqt when four letters picked without replacement from qqtkqqqttk?
1/84
What is prob of sequence wwy when three letters picked without replacement from dwqwqqdqqwywdwww?
1/80
Calculate prob of sequence zz when two letters picked without replacement from zzzzqzzzzqzqzzz.
22/35
Four letters picked without replacement from {u: 6, z: 7}. What is prob of sequence uzzz?
21/286
Three letters picked without replacement from {b: 2, v: 3, n: 2, i: 9}. What is prob of sequence vin?
9/560
What is prob of sequence bt when two letters picked without replacement from {t: 2, b: 10}?
5/33
Four letters picked without replacement from {y: 3, r: 1, e: 3}. Give prob of sequence eeyr.
3/140
What is prob of sequence jvvj when four letters picked without replacement from {v: 2, j: 10, s: 1, t: 1}?
15/2002
Two letters picked without replacement from fughhnuuhohhhohhhoh. What is prob of sequence un?
1/114
What is prob of sequence pupp when four letters picked without replacement from puvcvwpwwpcpvvcpppvp?
14/4845
Three letters picked without replacement from {u: 1, t: 2, k: 2, o: 2, l: 1}. Give prob of sequence oul.
1/168
What is prob of sequence xiyr when four letters picked without replacement from yrbxirfbiib?
1/1320
Three letters picked without replacement from {v: 1, o: 1, j: 2, u: 1}. What is prob of sequence jvu?
1/30
Three letters picked without replacement from {e: 1, p: 2, o: 1}. Give prob of sequence ppe.
1/12
Calculate prob of sequence bp when two letters picked without replacement from {p: 3, b: 3}.
3/10
Four letters picked without replacement from {u: 2, b: 4, j: 1, q: 2}. Give prob of sequence bjqq.
1/378
What is prob of sequence wxn when three letters picked without replacement from {n: 2, x: 4, w: 5}?
4/99
Four letters picked without replacement from uululuuyuuuuuuyyu. Give prob of sequence yuyl.
3/1190
Three letters picked without replacement from {m: 3, j: 1, d: 4, z: 2, a: 1, f: 1}. Give prob of sequence zam.
1/220
Calculate prob of sequence eeev when four letters picked without replacement from {v: 1, b: 4, e: 2}.
0
What is prob of sequence qqqq when four letters picked without replacement from wwwwqqqwwwwwqwwwwwww?
1/4845
Four letters picked without replacement from {d: 3, z: 2}. What is prob of sequence dddz?
1/10
What is prob of sequence vgs when three letters picked without replacement from pppgqvqpsppqgsqs?
1/560
What is prob of sequence bb when two letters picked without replacement from {b: 3, v: 2, k: 12}?
3/136
Three letters picked without replacement from {b: 3, g: 9, l: 4, j: 4}. Give prob of sequence bgl.
3/190
What is prob of sequence cvv when three letters picked without replacement from ccevtccffv?
1/90
Two letters picked without replacement from favvu. What is prob of sequence uf?
1/20
Three letters picked without replacement from bbxsxw. Give prob of sequence xsx.
1/60
Two letters picked without replacement from {e: 2, q: 2}. What is prob of sequence qe?
1/3
Two letters picked without replacement from vyq. Give prob of sequence vq.
1/6
Four letters picked without replacement from uuuhuuhuuhhh. What is prob of sequence huhh?
7/198
What is prob of sequence soc when three letters picked without replacement from loposcopopwow?
5/1716
Three letters picked without replacement from {c: 1, i: 2, a: 2, m: 1, y: 1, h: 1}. What is prob of sequence cay?
1/168
Calculate prob of sequence liiu when four letters picked without replacement from ilgulglugililgg.
1/546
What is prob of sequence vp when two letters picked without replacement from {z: 1, v: 1, j: 3, p: 2}?
1/21
Three letters picked without replacement from {s: 1, a: 1, u: 12}. What is prob of sequence suu?
11/182
Three letters picked without replacement from ttotdpddtdptptpjt. What is prob of sequence dtj?
7/1020
Three letters picked without replacement from njfiufl. Give prob of sequence fnu.
1/105
What is prob of sequence it when two letters picked without replacement from wqwqiqtrwqqqqtqkqt?
1/102
Two letters picked without replacement from {o: 5, q: 4, h: 8}. What is prob of sequence qh?
2/17
Two letters picked without replacement from {o: 10}. What is prob of sequence oo?
1
What is prob of sequence ptcc when four letters picked without replacement from {z: 1, c: 3, p: 1, t: 1, w: 2, k: 3}?
1/1320
Two letters picked without replacement from sssssamsmasmms. What is prob of sequence sm?
16/91
What is prob of sequence nclm when four letters picked without replacement from lffmmmlllncnmlmml?
3/2380
Two letters picked without replacement from xyxxxfxyxxfxxyxxyxxy. What is prob of sequence xf?
13/190
Calculate prob of sequence xy when two letters picked without replacement from {y: 5, t: 1, v: 5, x: 1}.
5/132
Three letters picked without replacement from vtttttvvttttttt. Give prob of sequence vvv.
1/455
What is prob of sequence cc when two letters picked without replacement from bdbbcddddcdbbbd?
1/105
Four letters picked without replacement from lllllllll. What is prob of sequence llll?
1
Four letters picked without replacement from {z: 2, w: 1, m: 4}. What is prob of sequence zwmm?
1/35
Two letters picked without replacement from {i: 6, y: 4, j: 4, d: 1}. What is prob of sequence jy?
8/105
Two letters picked without replacement from {z: 2, c: 4}. Give prob of sequence cz.
4/15
Calculate prob of sequence ttip when four letters picked without replacement from {d: 2, z: 2, t: 2, i: 2, p: 5, f: 3}.
1/2184
What is prob of sequence ikii when four letters picked without replacement from lccklllkllilikkillcl?
1/4845
What is prob of sequence mmff when four letters picked without replacement from {m: 4, f: 16}?
8/323
Two letters picked without replacement from fjsjjjjssfjff. Give prob of sequence ff.
1/13
Two letters picked without replacement from {l: 1, f: 2, g: 1, w: 3, d: 2, e: 3}. What is prob of sequence gl?
1/132
Three letters picked without replacement from {l: 18, w: 1}. What is prob of sequence llw?
1/19
What is prob of sequence aej when three letters picked without replacement from bjbfbbbaje?
1/360
Four letters picked without replacement from {n: 2, h: 5, p: 3}. What is prob of sequence hhhh?
1/42
Calculate prob of sequence zztz when four letters picked without replacement from {z: 4, t: 6}.
1/35
Calculate prob of sequence pzo when three letters picked without replacement from {v: 2, w: 1, p: 1, r: 2, o: 1, z: 1}.
1/336
Calculate prob of sequence jljt when four letters picked without replacement from rxtjxbxttll.
0
Two letters picked without replacement from {l: 5, u: 1, n: 2, p: 2, t: 3, g: 6}. What is prob of sequence nn?
1/171
Four letters picked without replacement from {o: 4, z: 7, r: 5}. Give prob of sequence zooo.
1/260
Four letters picked without replacement from czseczczzezszszz. What is prob of sequence ezcs?
3/910
What is prob of sequence yv when two letters picked without replacement from {g: 4, y: 1, p: 6, v: 3, w: 3, f: 2}?
1/114
Four letters picked without replacement from elhaffhlg. Give prob of sequence gelh.
1/756
Two letters picked without replacement from dpfbfuqp. What is prob of sequence bp?
1/28
Two letters picked without replacement from {p: 12, l: 6}. Give prob of sequence ll.
5/51
What is prob of sequence gy when two letters picked without replacement from yyg?
1/3
What is prob of sequence nh when two letters picked without replacement from {u: 1, h: 1, a: 1, c: 1, n: 1}?
1/20
Two letters picked without replacement from {x: 2, y: 5, b: 2, f: 3}. What is prob of sequence bf?
1/22
Three letters picked without replacement from {o: 2, q: 3, k: 1, i: 1, l: 3}. What is prob of sequence qlk?
1/80
Three letters picked without replacement from {i: 1, t: 7, z: 7, d: 1, q: 3}. What is prob of sequence zdq?
7/1938
Calculate prob of sequence eth when three letters picked without replacement from tlleh.
1/60
Three letters picked without replacement from dtghc. Give prob of sequence tgh.
1/60
Calculate prob of sequence st when two letters picked without replacement from nnupknssppstpnkkk.
3/272
What is prob of seque
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 5*m + 17 = 3*f, -3*f = 2*f + 4*m + 21. Let v(u) = u**2 + 2*u**2 - 8*u + 10*u + 1. Determine v(f).
2
Let h be 3 + (-2)/(-2) + -1. Let b(g) be the second derivative of -g**4/12 - g**3/3 + 2*g**2 - 5*g. Give b(h).
-11
Suppose 0 = 5*y - 2*y - 12. Let q(k) be the third derivative of -k**4/24 - k**3/3 + k**2. What is q(y)?
-6
Let o = 19 - 13. Let i(p) = 3*p - 29. Let r(y) = 2*y - 19. Let x(f) = -5*i(f) + 8*r(f). Determine x(o).
-1
Let l(q) = 4*q - 9. Let g(w) = 2*w - 4. Let y(s) = -5*g(s) + 2*l(s). Give y(2).
-2
Let u be (-2)/13 + 432/104. Let f(z) = -u + 2 + 2*z**2 - 3*z**2. Calculate f(2).
-6
Let u(d) = -d**2 + 1. Let z(t) = -3*t**2 - 2*t + 7. Let r(c) = -2*u(c) + z(c). Calculate r(-6).
-19
Suppose -15 + 0 = 3*h. Let y(m) be the second derivative of -6*m + 1/12*m**4 - 5/2*m**2 + 0 + 5/6*m**3. Calculate y(h).
-5
Let a(y) = 5*y**2 + 2*y + 1. Let w be (-1)/(2 - (-2 + 3))*1. Give a(w).
4
Let y = 9 - 7. Let k(o) = -1 + o + y*o + 0 - 2*o. Determine k(1).
0
Let y(n) = -n**2 + 2*n + 3*n**2 + 1 - 1. Let q(m) = 6*m**2 + 6*m + 1. Let o(f) = -3*q(f) + 8*y(f). Determine o(-2).
-7
Let a = 16 + -17. Let i(c) = c**2 + 3*c + 1. Give i(a).
-1
Let o be ((-4)/(-5))/(6/15). Suppose -16 = 2*c - 6*c. Let t(s) = s - c*s**o + s - s. Calculate t(-1).
-5
Let h(z) = -z**2 + z + 4. Let u = 20 - 15. Suppose m + l = 0, 0*m = 2*m + u*l. What is h(m)?
4
Let m(t) = -t + 1. Suppose 0 = -3*s - 5*h - 25, 4*s + 4*h + 29 = 1. Let r(i) = -4*i + 2. Let l(z) = s*m(z) + r(z). Give l(5).
2
Suppose 0 = -4*g + 5*g. Let r = g - -4. Let s(c) = c**2 - 3*c - 3. Calculate s(r).
1
Let g(u) = -u + 2*u + u**3 - 113 - 3*u**2 + 112. Calculate g(2).
-3
Let w(o) = 2*o - 2. Let i be w(2). Let r(j) = -7*j + 3. Let a(x) = -8*x + 3. Let y(d) = 5*a(d) - 6*r(d). Calculate y(i).
1
Let a be (-3 - (-2)/1)/(-1). Let z(t) = t**3 - t**2 - t + 1. Let g(u) = -3*u**3 - 5*u**2 - u + 2. Let h(j) = g(j) - 3*z(j). Calculate h(a).
-7
Let a(p) = -p + 1. Let x be (-2)/((-1)/(-2)*2/(-3)). Determine a(x).
-5
Let p(m) = m**3 - m + 13. Let y = -44 + 44. Determine p(y).
13
Suppose -h = -4*h + 9. Let t(d) = 2*d - 4. What is t(h)?
2
Let r(i) be the first derivative of -5*i**2/2 - 2*i - 6. Calculate r(2).
-12
Let y(x) = 2*x - 8. Let z be y(6). Suppose 2*w + 2*w = -4*r + 20, 2*r - z*w = -8. Let l(v) = v**3 - 3*v**2 - 2*v + 2. What is l(r)?
-6
Let y(t) = -9*t**3 + 6*t**2 - 1. Let m(i) be the second derivative of i**5/2 - 7*i**4/12 + i**2/2 + 6*i. Let v = -5 - 1. Let l(p) = v*m(p) - 7*y(p). Give l(-1).
-2
Let x(g) = -4*g. Let i(q) = -q**2 - 4*q + 4. Let v be i(-4). Determine x(v).
-16
Let u(h) be the first derivative of -h**3/3 - 7*h**2/2 - 4*h - 1. Let k(w) = -4*w - 1. Let t be k(-1). Let j(z) = -z. Let a be j(t). Determine u(a).
8
Let f(r) be the third derivative of r**6/120 - r**5/60 + r**3/6 - 2*r**2. Suppose -u + 3*d - 1 = 0, -5*u + 19 = -2*u + 2*d. Let t = 6 - u. What is f(t)?
1
Let d(y) = y**3 - 5*y**2 - 5*y + 1. Suppose -4 = -x - 5*c + 12, -5*x = -3*c - 24. Determine d(x).
7
Let f(a) = -a**3 - 2*a**2 - 3*a - 2. Suppose -2*i + 6*i = -8, d - 2*i = 14. Let t be 40/(-16)*8/d. Determine f(t).
4
Let n(p) be the second derivative of p**3/3 - p**2/2 - 13*p. Give n(2).
3
Let t(v) be the third derivative of -v**5/60 + v**4/4 - v**3 - 6*v**2. What is t(7)?
-13
Let t = 4 + -3. Let b(d) = 26*d - 14*d - 4*d - 9*d. What is b(t)?
-1
Let q(f) = -f**2 - f + 4. Let j be (-3)/(-2) - 33/6. Give q(j).
-8
Let v(y) = -6*y - 1. Let p be v(-1). Let z(r) = r - 11. What is z(p)?
-6
Let b(s) be the first derivative of 3*s**2/2 + 3*s + 15. Suppose -6 = 5*k - 16. Let l = -5 + k. What is b(l)?
-6
Suppose j + j = 2*x, 3 = 2*j - 3*x. Let b be 0 + 3/(j/(-5)). Let m = 4 - b. Let w(k) = 4*k + 1. Determine w(m).
-3
Let m(v) = -v**2 + 5*v. Let o(a) = -2*a**2 + 14*a - 1. Let f(z) = -8*m(z) + 3*o(z). Let l be (-1 + 1)/(9/3) - 3. Determine f(l).
9
Let s(m) = -m**2 - 3*m + 3. Suppose 9 = -a + 3*r, 3*a + 5*r + 0 = -83. Let h = a - -18. Determine s(h).
3
Suppose -4 = j - 2. Let p = 3 + j. Let w(g) = 0*g**3 - 4*g - g**3 - 2*g**2 + p + 2*g**3. Calculate w(3).
-2
Let x(g) be the third derivative of 0 - 3*g**2 + 0*g - 1/8*g**4 + 1/6*g**3. Calculate x(3).
-8
Let m = -6 + 8. Let k(u) = 4*u + 3*u**2 + 1 - 10*u**2 + 6*u**m. Determine k(2).
5
Let q(c) = 11*c**2 - 5*c + 3. Let d(b) = -5*b**2 + 2*b - 1. Let j(h) = 5*d(h) + 2*q(h). Give j(1).
-2
Let y(s) = s**3 + s**2 - 5*s - 3. Let i(q) be the first derivative of q**2/2 - 12*q + 1. Let k be i(9). Determine y(k).
-6
Let b(n) = -131 + 6*n**2 - 2*n + n**3 + 133 - 2*n**3. Calculate b(5).
17
Let d(z) = 6*z - z**3 - 4*z**2 + 5 + 1 + 5 - 4. Calculate d(-5).
2
Let c(x) = x**2 - 7*x + 2. Let v be 2 + 3 - (5 - 6). Let o be c(v). Let w(s) = 4*s + 4. What is w(o)?
-12
Let u(t) = t + 10. Let o be u(-8). Let p(v) = -2*v - 5 + 3*v**2 + 2 + o. Let s = -4 + 6. Calculate p(s).
7
Let n(b) = -b**3 - 5*b**2 + b + 2. Let s(d) = -d**3 + 7*d**2 - 2*d + 9. Let p be (-2)/10 + (-72)/(-10). Let g be s(p). What is n(g)?
-3
Suppose 0 = 3*p + r - 53 - 40, -5*p - 5*r = -145. Suppose -p - 48 = -5*c. Suppose c*m = 11*m - 20. Let f(h) = h**2 + 3*h + 5. What is f(m)?
9
Let j(c) = c**3 - 7*c**2 + 7*c + 1. Suppose -60*k + 62*k = 12. Calculate j(k).
7
Let m = -41 - -39. Let s(w) = 7*w + 3. Determine s(m).
-11
Let r(q) = -q**2 - q. Let i = 12 - 13. Give r(i).
0
Let i(g) = g - 4. Let y(z) = -2*z - 3. Let f be y(-4). Let c be i(f). Let n(r) be the third derivative of r**6/40 + r**5/30 - r**4/24 + r**2. Calculate n(c).
4
Let z(a) = a**2 - 4*a - 1. Let f be 1 + -2 - 1*4. Let v(h) be the third derivative of h**4/12 + h**3/6 - 2*h**2. Let p(d) = f*v(d) - 2*z(d). Give p(-2).
-7
Let x(n) = n + 5. Suppose 3*o - 2*u + 2 = 0, -3*u + 36 - 14 = 5*o. Let d be 3*2*4/o. Let f be (-8)/d - 4/(-6). What is x(f)?
5
Let l(z) = -z**2 - 8*z - 9. Let c = -6 - 1. Determine l(c).
-2
Let f(j) be the third derivative of j**4/24 + 2*j**3/3 - j**2. Suppose 2 = -0*l + l + y, y + 13 = 2*l. Let d = 0 + l. Determine f(d).
9
Let o(m) = -13*m - 1. Let p be (-4)/((-3)/(9/6)). Suppose p*z = 3*z + 1. Give o(z).
12
Let a(k) = -2*k + 9. Let z(q) = 2*q - 10. Let p(r) = -3*a(r) - 2*z(r). Determine p(5).
3
Let f = -12 - -1. Let p be 2/f + (-4)/(-22). Let u(w) = -2 + 2 - w. Give u(p).
0
Suppose 4*q + 24 = 2*b, 4*b = -3*q - 1 - 6. Let d(r) = -r**3 - 5*r**2 + 2*r + 5. Calculate d(q).
-5
Let t(o) = o + 3. Let r(i) = 7*i + 4. Let l(x) = x + 1. Let f be ((-3)/(-9))/(2/(-6)). Let j(g) = f*r(g) + 5*l(g). Let q be j(3). Calculate t(q).
-2
Suppose 0*n - 3*n = 0, q = -5*n - 1. Let w(f) = f - 3. Let b be w(5). Let g(u) = 2 + u + 0 - 1 + 3*u**b. Determine g(q).
3
Suppose f + 5 + 11 = 4*i, 3*f + 3*i = 12. Let t(h) = -2 - h + 0 + 0 + f. Calculate t(-5).
3
Let a(h) be the first derivative of h**2/2 + 3*h + 3. Let r be a(0). Let l(t) = -t**2 + 2*t - 1. Let w(z) = z - 1. Let f(g) = r*w(g) - l(g). Determine f(-2).
0
Suppose -y - 11 + 2 = -4*s, 2*y = -5*s - 5. Let x(k) = k**3 + 6*k**2 + 2*k - 6. What is x(y)?
9
Let z(l) = 7*l**2 + 5*l. Let q(i) = -6*i**2 - 5*i. Let a(d) = 6*q(d) + 5*z(d). Let o(c) = c + 20. Let b be o(-11). Suppose -2*j - b = -3. Calculate a(j).
6
Let p(c) = -c**2 - 2*c. Let g(j) = 2*j**2 + 3*j + 1. Let b(y) = 2*g(y) + 5*p(y). What is b(-5)?
-3
Let i(x) be the second derivative of 2*x**3/3 - x**2/2 + 3*x. Give i(-1).
-5
Let n(a) = -4*a + a + 2*a. Let c = 11 + -8. What is n(c)?
-3
Let v = -6 - -1. Let o(f) = 3*f + 4. Let s(x) = 7*x + 8. Let w(u) = v*o(u) + 2*s(u). Calculate w(-5).
1
Suppose -d - d = 0. Let k(q) be the first derivative of -q**3/3 - q**2/2 + 4*q - 15. Determine k(d).
4
Let s(t) = -1 + 7*t + 2 + 4*t - 7*t. Suppose -2*o = j + 9, -3*o + 8*o + 17 = 3*j. What is s(j)?
-3
Let m(h) be the second derivative of -h**6/360 - h**5/120 + h**3/2 + h. Let b(z) be the second derivative of m(z). Determine b(-2).
-2
Let r(n) = -n**2 - 8*n - 2. Let j(b) = -7*b + 2. Let v(x) = x - 1. Let d(t) = -j(t) - 4*v(t). Let f be d(-2). Give r(f).
14
Let p(o) be the second derivative of o**4/12 - 2*o**3/3 + o**2/2 + o. Let n(q) = q**3 + 5*q**2 + 3*q - 1. Let y be n(-4). Calculate p(y).
-2
Let a(f) be the second derivative of -2/3*f**3 + 8*f + 1/12*f**4 + 0 + 1/2*f**2. Determine a(5).
6
Let c = 3 + 3. Let r(u) = u**3 - 6*u**2 - u + 7. Let l be r(c). Let k(t) = t - t + t**3 - l + 5*t**2 + 6*t - t. Determine k(-4).
-5
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
60*v**3 - 105*v**3 + 39*v**3.
-6*v**3
Collect the terms in 7*x**3 - x**3 - 1 + 0.
6*x**3 - 1
Collect the terms in -2787 - 920 - y - 494.
-y - 4201
Collect the terms in g**2 - 4808989 + 4808989.
g**2
Collect the terms in -1690*t - 1683*t + 3378*t.
5*t
Collect the terms in 117005 - 117005 - 10*j.
-10*j
Collect the terms in -457*n + 156*n + 154*n + 149*n.
2*n
Collect the terms in 5*l**2 + 16*l**2 + 4 - 4.
21*l**2
Collect the terms in 7*p**2 - 4*p**2 - 5*p**2 + 10*p**3.
10*p**3 - 2*p**2
Collect the terms in 653 + 3*t**2 - 653.
3*t**2
Collect the terms in 3*v**2 - 4*v**2 - 2*v**2 - v**2.
-4*v**2
Collect the terms in 6499*m**2 - 6*m**3 - 6499*m**2.
-6*m**3
Collect the terms in 8*h**3 - 25*h**3 + 6*h**3 + 2*h**3.
-9*h**3
Collect the terms in u**2 + 10*u**2 - 4*u + 0*u**2 - 8*u**2.
3*u**2 - 4*u
Collect the terms in -176*s - 166*s - 303*s.
-645*s
Collect the terms in 5*w + 10 - 10 + 0*w - 3*w.
2*w
Collect the terms in 9*t**2 - 3*t**2 + 0*t**2 + 3*t**2.
9*t**2
Collect the terms in 7*r - 6*r + 9*r - 9*r - 3*r.
-2*r
Collect the terms in 2*a**2 + 923*a - 1852*a + 929*a.
2*a**2
Collect the terms in 198*s - 387*s + 200*s.
11*s
Collect the terms in 7 - 18*y**3 + y**3 - 3 + 0*y**3.
-17*y**3 + 4
Collect the terms in -15*r - 2*r + 3*r - 10*r + 4*r.
-20*r
Collect the terms in -a - 5*a + 3*a - 2*a.
-5*a
Collect the terms in 5 - 14122*i**2 + 14119*i**2 - 5.
-3*i**2
Collect the terms in 41 + 174*t**3 - 19 - 22.
174*t**3
Collect the terms in 296 - 404 + 3*b**2 + 108.
3*b**2
Collect the terms in -9*a - 6*a**3 + 0*a**3 - 2*a**3 + a.
-8*a**3 - 8*a
Collect the terms in 1 - 1109*c**3 + 1112*c**3 - 1.
3*c**3
Collect the terms in 8*z**2 + 11*z**2 + 4*z**2 - 27*z**2 + 7*z**2.
3*z**2
Collect the terms in 58*p**3 + p**2 - p**2.
58*p**3
Collect the terms in -91 + 91 - 18*n**2 - 2*n**2 - 6*n**2.
-26*n**2
Collect the terms in 56*v**2 + 61*v**2 + 312*v**2.
429*v**2
Collect the terms in -6*u**2 + 22*u**2 - 10*u**2 - 11*u**2.
-5*u**2
Collect the terms in 2662*n - 2662*n + 2*n**2.
2*n**2
Collect the terms in 401*p**2 - 401*p**2 - 4*p**3 + 33*p**3.
29*p**3
Collect the terms in -12*n + 14*n - 6*n.
-4*n
Collect the terms in 8*y**2 - 13*y**2 - 3*y**2.
-8*y**2
Collect the terms in 4 - 199*w**2 - 4.
-199*w**2
Collect the terms in -9 - 20 + 29 - 15*y.
-15*y
Collect the terms in 4*h**2 + 6*h**2 + 5*h**3 + 11*h**3 - 15*h**3.
h**3 + 10*h**2
Collect the terms in 0*h - h + 5 + 1 - 9*h.
-10*h + 6
Collect the terms in -1628 + 5*t**2 + 1628.
5*t**2
Collect the terms in t**3 - 3*t**3 - 107*t**2 - 82*t**2.
-2*t**3 - 189*t**2
Collect the terms in 0*n + 105*n**3 - n + n.
105*n**3
Collect the terms in 4 + 56*y**3 + 148*y**3 - 4.
204*y**3
Collect the terms in 9*n**2 + 0*n**2 - 6*n**2.
3*n**2
Collect the terms in 193 - q**3 + 201 - 394.
-q**3
Collect the terms in 0*x**2 - 6*x**2 + 0*x**2 - 3*x**2 + 7*x**2.
-2*x**2
Collect the terms in 304*j - 2 - 1 + 3.
304*j
Collect the terms in 6*i - 82*i**3 + 151*i**3 - 76*i**3.
-7*i**3 + 6*i
Collect the terms in -50255*c**2 + 100517*c**2 - 50261*c**2.
c**2
Collect the terms in x**2 + 5*x**2 - 4*x**2.
2*x**2
Collect the terms in -39*a - 48*a + 89*a.
2*a
Collect the terms in -16 - i + 5 + 11.
-i
Collect the terms in x**2 + x**2 - 75*x + 49*x + 44*x.
2*x**2 + 18*x
Collect the terms in 2*i + i - 13 + 0*i.
3*i - 13
Collect the terms in -4902*p**3 - p**2 - 9*p**2 + 10*p**2 + 4900*p**3.
-2*p**3
Collect the terms in 16*m + 15*m + 11*m - 42*m + 3*m**2.
3*m**2
Collect the terms in -94*b**3 - 8*b**2 + 8*b**2 - 82*b**3.
-176*b**3
Collect the terms in 38*r**2 - 436 + 436.
38*r**2
Collect the terms in -5 + 2*z**2 - 8*z + 5 + 7*z.
2*z**2 - z
Collect the terms in -6*v**2 + 1 + 2*v**2 + 4*v**2 - 100*v**3.
-100*v**3 + 1
Collect the terms in s**2 + 1278*s - 1278*s.
s**2
Collect the terms in -154*d**3 - 162*d**3 - 99*d**3.
-415*d**3
Collect the terms in -13*d - 4 + 7 - 3.
-13*d
Collect the terms in 1 + 42*h - 1.
42*h
Collect the terms in c - 3*c + 0*c - 2*c + 2*c.
-2*c
Collect the terms in -4 + 0*p + 1 + 3 - p.
-p
Collect the terms in 3*z - 5*z + 0*z.
-2*z
Collect the terms in 48782*l**2 - 2 + 2 - 48785*l**2.
-3*l**2
Collect the terms in 213 - 22*d - 213.
-22*d
Collect the terms in -t + 4*t - 2*t - 4*t.
-3*t
Collect the terms in 21 - 21 - 11*a - 7*a.
-18*a
Collect the terms in -2*x**2 - 22*x + 0*x**2 + 6*x**2 - 3*x**2.
x**2 - 22*x
Collect the terms in 214*b**2 - 111*b**2 - 106*b**2.
-3*b**2
Collect the terms in 3*f + 4*f - 12*f + f.
-4*f
Collect the terms in 69 - 69 - 7*b.
-7*b
Collect the terms in b**3 + 4*b**3 - 3*b**3.
2*b**3
Collect the terms in 5*z**2 - 4*z**2 + 3*z**2 - 3*z**2.
z**2
Collect the terms in 11*j**2 - 16 - 10 + 26.
11*j**2
Collect the terms in x - 4*x + 6*x + 0*x - 11*x.
-8*x
Collect the terms in -m**3 - 12*m**3 + 19*m**3 - 3*m**3 - 2*m**3.
m**3
Collect the terms in 41*h**2 + 5*h**2 + 0*h**2.
46*h**2
Collect the terms in -3*x**3 + 7*x**3 - 5*x**3 - 6*x**3.
-7*x**3
Collect the terms in -4*g + 27 + 10*g - 6*g - g**2.
-g**2 + 27
Collect the terms in -3 + 3 + 16*u.
16*u
Collect the terms in 4*v**3 - 3 + 18*v**3 + 7 - 5*v**3.
17*v**3 + 4
Collect the terms in -23*g + 13*g - 4*g.
-14*g
Collect the terms in 260*h**2 + 265*h**2 + 264*h**2 - 787*h**2.
2*h**2
Collect the terms in -122*h**2 - 31*h**2 + 155*h**2.
2*h**2
Collect the terms in 172*z - 5 - 2 + 7 - 173*z.
-z
Collect the terms in 969*l - 969*l + 4*l**2.
4*l**2
Collect the terms in 11*q**3 + 236340*q**2 - 236340*q**2.
11*q**3
Collect the terms in 105*h + 14*h + 28*h + 0*h.
147*h
Collect the terms in -8*t**3 - 8*t**3 - 17*t**3 + 30*t**3.
-3*t**3
Collect the terms in 7*s + s - 3*s - 7*s.
-2*s
Collect the terms in -8*w + 2 - 5*w - 4 + 5.
-13*w + 3
Collect the terms in -1207*q**3 + 2410*q**3 - 1207*q**3.
-4*q**3
Collect the terms in -1 + 0 + 27*z + 1.
27*z
Collect the terms in -11*m**2 + 7*m**2 + 10*m**3 + 4*m**2.
10*m**3
Collect the terms in 78*o**3 + 6*o - 75*o**3 - 6*o.
3*o**3
Collect the terms in 5*i + 4*i**2 - i**2 - i**2.
2*i**2 + 5*i
Collect the terms in 2 + 10*o**3 - 10*o**3 - 6*o**3 + 0*o**3.
-6*o**3 + 2
Collect the terms in 1 - 1 - j**2 + 8*j**2.
7*j**2
Collect the terms in 0 + 0 - 22*n - 46*n.
-68*n
Collect the terms in -45*c**2 + 21*c**2 + 27*c**2.
3*c**2
Collect the terms in 7*m**2 - 3*m**2 + 4*m**3 - 4*m**2.
4*m**3
Collect the terms in 4*l**3 - 2*l**3 - 4*l**3 + 10*l**3 + 9*l**3.
17*l**3
Collect the terms in 0*k**2 - k**2 - 48*k**3 + k**2.
-48*k**3
Collect the terms in 2*g**2 - 11*g**2 - 2*g**2 - 4*g**2.
-15*g**2
Collect the terms in -10 + 10 + 280*t**2.
280*t**2
Collect the terms in -3*q - 11*q + 2*q.
-12*q
Collect the terms in -40 + 17*c + 62 - 22.
17*c
Collect the terms in -5 + 319*p**3 - 642*p**3 + 324*p**3 + 5.
p**3
Collect the terms in o - 65 + 65.
o
Collect the terms in -8 + 3 + 4 + 11*h**3 + 1.
11*h**3
Collect the terms in 9*i + 0*i - 2*i**3 - 9*i.
-2*i**3
Collect the terms in -4 - 5 + 4*h**3 + 2*h**3 - h**3.
5*h**3 - 9
Collect the terms in 2035 - 2028 + 3*r**2 - 11*r**2.
-8*r**2 + 7
Collect the terms in -57*r + 27*r + 97*r - 66*r.
r
Collect the terms in 7*z + z + 64*z**2 - 8*z.
64*z**2
Collect the terms in -809*t**2 + 137*t**2 - 209*t**2.
-881*t**2
Collect the terms in 5*v - 5*v - 26*v**3.
-26*v**3
Collect the terms in 52111 - 52111 + 11*n**2.
11*n**2
Collect the terms in -2*i**3 - 50*i + 0*i**3 + 50*i.
-2*i**3
Collect the terms in 32*y - 19*y + 39*y + 34*y.
86*y
Collect the terms in 9*u**2 - 90 + 90.
9*u**2
Collect the terms in -14*x**3 - 3*x**3 + 4*x**3 - 2*x**3.
-15*x**3
Collect the terms in 25 - 12 - 7*r**2 - 13.
-7*r**2
Collect the terms in -156*t + 83*t + 58*t + t**2.
t**2 - 15*t
Collect the terms in 5*o - 2*o + 2*o.
5*o
Collect the terms in -8*q**3 + 3*q**3 + 35*q**3.
30*q**3
Collect the terms in 3*s**2 + 12 - 5 - 7.
3*s**2
Collect the terms in -8 + 8 + 20*j + 32*j.
52*j
Collect the terms in -19*q**3 + 42*q**3 - 22*q**3.
q**3
Collect the terms in 17*o - 34*o + 7*o + o**2.
o**2 - 10*o
Collect the terms in 0 - 1 + 1 - 16*p.
-16*p
Collect the terms in -283*n**2 + 570*n**2 - 288*n**2.
-n**2
Collect the terms in 5*j + 65*j**3 + 14*j**3 - 4*j.
79*j**3 + j
Collect the terms in -50 + 7*z**2 + 2*z**3 - 7*z**2 - z**3.
z**3 - 50
Collect the terms in 2 - 2 + 1787*f**3.
1787*f**3
Collect the terms in 72*y**3 + 3 - 3 - 78*y**3.
-6*y**3
Collect the terms in -9*w**2 + 9*w**2 - 17*w**2 + 4*w - 15*w**2.
-32*w
|
{
"pile_set_name": "DM Mathematics"
}
|
from hhthtthhthznhththt. What is prob of picking 2 h?
4/17
Two letters picked without replacement from {d: 1, z: 1, j: 1, p: 2}. What is prob of picking 1 p and 1 j?
1/5
Calculate prob of picking 1 b and 1 s when two letters picked without replacement from vsavvavnabvsvtnnv.
1/68
What is prob of picking 1 l, 1 g, and 1 w when three letters picked without replacement from hgwlm?
1/10
What is prob of picking 1 o and 2 x when three letters picked without replacement from {o: 1, w: 1, x: 3, y: 7}?
3/220
What is prob of picking 1 h and 1 f when two letters picked without replacement from {g: 1, f: 4, a: 3, h: 2, i: 1}?
8/55
Calculate prob of picking 2 j and 2 o when four letters picked without replacement from goojoogoogogjogo.
9/455
Three letters picked without replacement from iiijijjjiiij. What is prob of picking 3 j?
1/22
What is prob of picking 2 w when two letters picked without replacement from wmmwmmwm?
3/28
Two letters picked without replacement from {w: 2, t: 11}. What is prob of picking 2 w?
1/78
What is prob of picking 3 s when three letters picked without replacement from stsaf?
0
Four letters picked without replacement from {f: 4, e: 1, j: 3, t: 2}. What is prob of picking 1 j, 2 t, and 1 e?
1/70
What is prob of picking 2 i when two letters picked without replacement from xellleideise?
1/66
Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {x: 1, n: 2, u: 9, s: 6}.
2/17
Three letters picked without replacement from {d: 4, g: 5, l: 4, t: 3}. Give prob of picking 1 l, 1 d, and 1 g.
1/7
Calculate prob of picking 1 x, 2 n, and 1 w when four letters picked without replacement from {c: 3, n: 2, w: 1, x: 1, a: 12}.
1/3876
What is prob of picking 1 p and 1 o when two letters picked without replacement from xpxxopxpxpxpppxo?
7/60
Four letters picked without replacement from pfefpeueuieei. What is prob of picking 2 i, 1 f, and 1 p?
4/715
Two letters picked without replacement from ccncnhnncchcjran. What is prob of picking 1 r and 1 h?
1/60
What is prob of picking 2 y and 1 p when three letters picked without replacement from aipymyae?
1/56
Calculate prob of picking 1 p and 3 s when four letters picked without replacement from {k: 4, s: 1, p: 2, g: 8, o: 2, j: 3}.
0
What is prob of picking 2 q when two letters picked without replacement from nqnqnnnnnnnqnnnnqnnn?
3/95
Two letters picked without replacement from {w: 2, z: 1, s: 1}. What is prob of picking 2 s?
0
Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {a: 2, b: 3, k: 6, h: 2, r: 1, w: 4}.
2/51
Calculate prob of picking 1 b, 1 l, and 2 h when four letters picked without replacement from {h: 2, l: 4, b: 3}.
2/21
What is prob of picking 1 x and 1 u when two letters picked without replacement from {o: 1, n: 1, x: 2, w: 1, a: 2, u: 1}?
1/14
Three letters picked without replacement from ojeoroejoeoeocreoeeo. What is prob of picking 1 j, 1 r, and 1 c?
1/285
Three letters picked without replacement from jujnn. What is prob of picking 1 j and 2 n?
1/5
What is prob of picking 1 n and 1 s when two letters picked without replacement from nrssnnrnnsnnssnrssn?
7/19
Two letters picked without replacement from {j: 2, v: 1}. What is prob of picking 1 j and 1 v?
2/3
Three letters picked without replacement from iqioqiiiiiiiii. Give prob of picking 2 q and 1 o.
1/364
Three letters picked without replacement from {i: 13, z: 5}. Give prob of picking 2 z and 1 i.
65/408
Two letters picked without replacement from swjwsqss. What is prob of picking 1 q and 1 s?
1/7
Three letters picked without replacement from ccccccubcbccx. What is prob of picking 1 c and 2 b?
9/286
Calculate prob of picking 2 h when two letters picked without replacement from {t: 2, z: 2, j: 1, h: 4}.
1/6
Two letters picked without replacement from qvvvvvqv. Give prob of picking 2 v.
15/28
Three letters picked without replacement from tddyddddtdddddddd. Give prob of picking 2 d and 1 t.
91/340
What is prob of picking 3 v when three letters picked without replacement from avevaevavv?
1/12
Two letters picked without replacement from {h: 12, z: 1, y: 1}. What is prob of picking 1 z and 1 h?
12/91
What is prob of picking 2 s and 2 v when four letters picked without replacement from uvvsvhahsgvgvvasgs?
1/34
Four letters picked without replacement from {a: 3, j: 1, s: 4}. What is prob of picking 3 s and 1 j?
2/35
Calculate prob of picking 3 i when three letters picked without replacement from iiqqii.
1/5
Three letters picked without replacement from bcmmmmyybmmbbcycccy. Give prob of picking 1 y, 1 m, and 1 c.
40/323
Four letters picked without replacement from {t: 2, q: 8, w: 5, x: 1, j: 1, h: 3}. Give prob of picking 1 j, 1 t, and 2 w.
4/969
What is prob of picking 1 f and 1 n when two letters picked without replacement from {u: 1, f: 7, b: 1, r: 2, n: 3}?
3/13
Calculate prob of picking 1 x, 1 c, and 1 b when three letters picked without replacement from {b: 3, f: 1, x: 4, p: 9, c: 1}.
1/68
What is prob of picking 2 n when two letters picked without replacement from {n: 11, t: 2}?
55/78
Four letters picked without replacement from {s: 3, o: 5}. What is prob of picking 4 o?
1/14
Two letters picked without replacement from {r: 2, q: 1, i: 1, a: 2}. What is prob of picking 1 i and 1 a?
2/15
Calculate prob of picking 2 v and 1 s when three letters picked without replacement from vvsvvssvsvssv.
63/143
Four letters picked without replacement from {d: 3, o: 4, i: 4, z: 3, y: 2}. What is prob of picking 1 o, 2 i, and 1 d?
18/455
Three letters picked without replacement from {y: 4, o: 10}. What is prob of picking 1 o and 2 y?
15/91
Four letters picked without replacement from ffmfmmmfmmfmm. Give prob of picking 2 m and 2 f.
56/143
Two letters picked without replacement from {l: 3, p: 1}. Give prob of picking 2 p.
0
Four letters picked without replacement from {u: 1, g: 1, p: 3, a: 1, v: 1}. Give prob of picking 1 g, 1 v, 1 u, and 1 p.
3/35
What is prob of picking 1 p and 1 t when two letters picked without replacement from {i: 6, p: 8, t: 3}?
3/17
Calculate prob of picking 2 t when two letters picked without replacement from thhttttttth.
28/55
Calculate prob of picking 1 w, 2 d, and 1 m when four letters picked without replacement from {d: 2, l: 1, w: 2, m: 1}.
2/15
What is prob of picking 2 f when two letters picked without replacement from bfbbbbfbbbbbb?
1/78
Four letters picked without replacement from twtctwexxcxwiet. Give prob of picking 2 t, 1 c, and 1 i.
4/455
Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {i: 2, u: 2, x: 1, n: 2, g: 1, q: 1}.
1/18
Three letters picked without replacement from {g: 4, t: 3, e: 2}. What is prob of picking 1 t and 2 g?
3/14
Two letters picked without replacement from {r: 3, b: 7, p: 3}. What is prob of picking 2 r?
1/26
Calculate prob of picking 1 y and 1 d when two letters picked without replacement from {a: 4, l: 1, g: 6, d: 3, y: 1, j: 5}.
3/190
Two letters picked without replacement from kkkkkkkkkk. What is prob of picking 2 k?
1
Three letters picked without replacement from {z: 2, x: 4}. What is prob of picking 1 z and 2 x?
3/5
Two letters picked without replacement from {s: 1, d: 2}. Give prob of picking 1 s and 1 d.
2/3
Three letters picked without replacement from {y: 4, j: 4, f: 2}. What is prob of picking 2 j and 1 f?
1/10
Two letters picked without replacement from qqxxqxqqxqtiq. Give prob of picking 2 q.
7/26
Three letters picked without replacement from cmwwwwwwwwxxc. Give prob of picking 2 m and 1 c.
0
What is prob of picking 1 c and 1 x when two letters picked without replacement from {f: 4, x: 2, c: 8, o: 1}?
16/105
Two letters picked without replacement from {q: 7, b: 2, t: 4, x: 1, c: 1, j: 4}. Give prob of picking 2 b.
1/171
Four letters picked without replacement from fwpmwxw. What is prob of picking 2 w, 1 p, and 1 m?
3/35
Two letters picked without replacement from {o: 7, s: 6, a: 2}. What is prob of picking 2 s?
1/7
Three letters picked without replacement from askkakssskaskkssa. What is prob of picking 2 k and 1 a?
3/34
Three letters picked without replacement from {m: 1, a: 4, v: 2, z: 1, o: 1}. Give prob of picking 2 a and 1 m.
1/14
What is prob of picking 1 a and 1 j when t
|
{
"pile_set_name": "DM Mathematics"
}
|
Is 640901 prime?
True
Is 10320839 prime?
False
Is 4470209 a composite number?
False
Is 4513657 a composite number?
True
Is 2198381 a composite number?
True
Is 3177253 a prime number?
True
Is 2285099 prime?
True
Is 197480177 prime?
False
Is 14297317 composite?
True
Is 11020379 composite?
True
Is 4517587 a prime number?
True
Is 81882247 prime?
True
Is 4803341 prime?
True
Is 148043107 a composite number?
True
Is 51348293 a composite number?
False
Is 234976271 a composite number?
True
Is 46744739 prime?
True
Is 16490443 composite?
False
Is 21167879 composite?
True
Is 11233289 prime?
True
Is 609359 composite?
False
Is 5607697 prime?
False
Is 244085395 prime?
False
Is 109205197 prime?
True
Is 6182131 a composite number?
False
Is 338537539 a composite number?
False
Is 10251363 a composite number?
True
Is 17642591 composite?
False
Is 1757741 a prime number?
True
Is 8667179 composite?
False
Is 1242889 composite?
False
Is 242863 a composite number?
False
Is 40441 a prime number?
False
Is 1265435053 prime?
False
Is 111605147 a prime number?
True
Is 2885839 composite?
True
Is 134021513 a prime number?
True
Is 45648717 a composite number?
True
Is 7479595 a composite number?
True
Is 146652763 prime?
False
Is 6114671 a composite number?
False
Is 9213203 a prime number?
True
Is 18541669 a composite number?
False
Is 62844649 a composite number?
True
Is 3599963 a prime number?
True
Is 3165803 prime?
False
Is 82897643 composite?
False
Is 283038773 a prime number?
False
Is 2819701 a prime number?
True
Is 110073539 a composite number?
True
Is 10386131 a composite number?
True
Is 719105719 prime?
True
Is 97348519 a prime number?
False
Is 12726887 a prime number?
False
Is 4859201 a prime number?
True
Is 431442029 composite?
False
Is 2613554 composite?
True
Is 278346913 composite?
True
Is 120924203 composite?
True
Is 2821309 a composite number?
True
Is 9383519 a prime number?
False
Is 5309327 a prime number?
False
Is 114904733 a composite number?
False
Is 1097471 a composite number?
True
Is 39931081 prime?
True
Is 38646451 a prime number?
True
Is 38995339 a composite number?
False
Is 38525353 prime?
True
Is 127905541 a prime number?
True
Is 625777153 a prime number?
True
Is 1105309 prime?
True
Is 4616483 composite?
True
Is 212081 composite?
False
Is 258231797 prime?
True
Is 25914485 a composite number?
True
Is 14800679 a prime number?
True
Is 148720651 a composite number?
True
Is 17150303 prime?
True
Is 34327901 prime?
True
Is 175947643 prime?
True
Is 112618273 a composite number?
True
Is 60812279 prime?
False
Is 538713727 composite?
False
Is 10088323 a prime number?
False
Is 140669231 prime?
True
Is 9098751 prime?
False
Is 1611893 composite?
True
Is 529513579 a composite number?
True
Is 202866589 a prime number?
True
Is 220341595 prime?
False
Is 1042483 a composite number?
True
Is 2317073 composite?
True
Is 166686283 a composite number?
True
Is 7165787 prime?
True
Is 66341621 prime?
True
Is 16728259 a prime number?
True
Is 308888549 prime?
True
Is 2415169 prime?
False
Is 82345103 a prime number?
True
Is 783312329 composite?
False
Is 28523507 a prime number?
True
Is 2169809 a composite number?
True
Is 80537 prime?
True
Is 19849499 a composite number?
False
Is 596943139 composite?
True
Is 126328117 a prime number?
True
Is 1101148754 a composite number?
True
Is 11577497 a prime number?
True
Is 2000233 a prime number?
False
Is 1713071 a prime number?
True
Is 38611823 a composite number?
True
Is 10447807 a prime number?
False
Is 1056929 prime?
True
Is 10679709 composite?
True
Is 123300187 a composite number?
False
Is 2002477 composite?
True
Is 26178511 prime?
False
Is 132017 composite?
True
Is 551183533 prime?
False
Is 11191003 composite?
True
Is 11971033 a composite number?
False
Is 12135019 composite?
True
Is 51183641 composite?
True
Is 2027591 prime?
False
Is 50636351 composite?
True
Is 84318151 composite?
True
Is 196411249 a prime number?
False
Is 107547929 prime?
False
Is 611773 a composite number?
True
Is 15586907 a prime number?
False
Is 61999397 a prime number?
True
Is 101531267 composite?
True
Is 33800479 a prime number?
True
Is 10522277 a composite number?
False
Is 68121519 a composite number?
True
Is 321718211 a composite number?
False
Is 22388871 composite?
True
Is 251253971 a composite number?
False
Is 1037213 prime?
True
Is 2308151 a composite number?
False
Is 44808763 a prime number?
False
Is 857257 prime?
False
Is 77246417 composite?
True
Is 34996457 a prime number?
False
Is 5298289 a prime number?
False
Is 550723 prime?
False
Is 49355653 prime?
True
Is 211430063 prime?
False
Is 6337759 a prime number?
True
Is 44787259 prime?
False
Is 40601 composite?
True
Is 147201259 composite?
True
Is 39913 a prime number?
False
Is 39369817 composite?
False
Is 1325455 prime?
False
Is 4044077 a composite number?
False
Is 60048551 a prime number?
True
Is 2834159 a composite number?
False
Is 19713619 a composite number?
False
Is 57011003 a prime number?
False
Is 9383345 composite?
True
Is 58802921 a prime number?
True
Is 555619 composite?
True
Is 34381099 prime?
True
Is 215486627 prime?
False
Is 15310543 composite?
False
Is 1984438 a prime number?
False
Is 221314613 a prime number?
False
Is 11715691 composite?
True
Is 123585751 prime?
True
Is 166672721 composite?
False
Is 1928545 a prime number?
False
Is 3029885 composite?
True
Is 34386757 a prime number?
True
Is 6822067 prime?
False
Is 67927753 a composite number?
False
Is 280964141 composite?
True
Is 10501079 prime?
True
Is 63834811 prime?
True
Is 31846859 a composite number?
True
Is 74571047 prime?
True
Is 53768093 composite?
True
Is 553351 prime?
True
Is 1102019629 a composite number?
True
Is 143409551 a prime number?
True
Is 54631483 a prime number?
False
Is 2320243 a prime number?
True
Is 233518427 prime?
True
Is 147413261 a composite number?
False
Is 5045407 prime?
True
Is 29046299 composite?
False
Is 9296657 a composite number?
True
Is 97066941 a prime number?
False
Is 21139333 prime?
False
Is 7069289 prime?
False
Is 19657667 a composite number?
False
Is 176094979 composite?
True
Is 12017021 a composite number?
False
Is 16057483 prime?
False
Is 46375279 a prime number?
True
Is 13815227 prime?
False
Is 736573 a prime number?
False
Is 1132877 prime?
True
Is 71893567 a prime number?
False
Is 22060669 composite?
False
Is 1904978839 a composite number?
False
Is 2290865 composite?
True
Is 4411259 a prime number?
False
Is 956321617 composite?
False
Is 6418801 a composite number?
True
Is 2321899 a prime number?
True
Is 35135839 a prime number?
False
Is 67340501 a prime number?
True
Is 2182589 prime?
False
Is 13383831 a composite number?
True
Is 43718417 a composite number?
False
Is 1158523 composite?
False
Is 1346849 composite?
True
Is 14354 composite?
True
Is 9155411 prime?
True
Is 33154039 a prime number?
True
Is 33710213 a prime number?
True
Is 625503 a composite number?
True
Is 1443241 a composite number?
True
Is 65286257 a prime number?
False
Is 318880181 a prime number?
True
Is 84033347 a composite number?
False
Is 20983769 prime?
True
Is 2759743 a prime number?
False
Is 31952257 prime?
False
Is 668032931 prime?
True
Is 18036293 composite?
True
Is 124834715 prime?
False
Is 66670421 a composite number?
False
Is 3993163 prime?
False
Is 20477423 composite?
False
Is 731366458 a composite number?
True
Is 2681615 composite?
True
Is 567257 prime?
True
Is 6076841 a composite number?
False
Is 406876591 a composite number?
True
Is 55086169 composite?
False
Is 125163419 composite?
True
Is 138366439 a prime number?
True
Is 279361889 prime?
False
Is 11958937 a prime number?
True
Is 26969441 composite?
False
Is 2455087 a composite number?
False
Is 2352991 a composite number?
True
Is 2130169 a composite number?
False
Is 20677771 composite?
True
Is 535723 a composite number?
True
Is 400454981 prime?
False
Is 4560707 composite?
False
Is 6805 composite?
True
Is 2597323 a composite number?
False
Is 14710849 composite?
False
Is 124067453 a prime number?
False
Is 33281201 a composite number?
False
Is 518879 composite?
True
Is 39801727 a prime number?
False
Is 6817429 a composite number?
False
Is 51055903 a prime number?
False
Is 8121947 prime?
True
Is 106479757 composite?
False
Is 7571089 a prime number?
False
Is 127241 composite?
|
{
"pile_set_name": "DM Mathematics"
}
|
th term of -4, -11, -18, -25, -32?
-7*k + 3
What is the z'th term of 304, 340, 436, 622, 928, 1384?
5*z**3 + z + 298
What is the t'th term of 9, 22, 55, 114, 205, 334, 507, 730?
t**3 + 4*t**2 - 6*t + 10
What is the x'th term of 775, 1538, 2301, 3064, 3827, 4590?
763*x + 12
What is the c'th term of 2251, 2263, 2287, 2329, 2395, 2491, 2623?
c**3 + 5*c + 2245
What is the a'th term of -1, 20, 31, 26, -1, -56?
-a**3 + a**2 + 25*a - 26
What is the j'th term of 20, 206, 708, 1682, 3284, 5670?
26*j**3 + 2*j**2 - 2*j - 6
What is the f'th term of -107, -218, -331, -446, -563, -682, -803?
-f**2 - 108*f + 2
What is the s'th term of 13, 42, 89, 154, 237, 338, 457?
9*s**2 + 2*s + 2
What is the f'th term of 33, 57, 81, 105?
24*f + 9
What is the c'th term of 0, 11, 16, 9, -16, -65, -144, -259?
-c**3 + 3*c**2 + 9*c - 11
What is the y'th term of -985, -998, -1025, -1072, -1145, -1250?
-y**3 - y**2 - 3*y - 980
What is the c'th term of 48, 69, 90, 111, 132, 153?
21*c + 27
What is the k'th term of -930, -929, -928, -927?
k - 931
What is the z'th term of -262, -264, -266, -268?
-2*z - 260
What is the i'th term of 425, 433, 455, 497, 565?
i**3 + i**2 - 2*i + 425
What is the n'th term of 177, 352, 525, 696, 865?
-n**2 + 178*n
What is the s'th term of 348, 701, 1056, 1413?
s**2 + 350*s - 3
What is the l'th term of -984, -978, -968, -954?
2*l**2 - 986
What is the k'th term of -206, -834, -1880, -3344?
-209*k**2 - k + 4
What is the m'th term of 47, 83, 121, 161, 203, 247, 293?
m**2 + 33*m + 13
What is the j'th term of 15, 37, 81, 153, 259, 405, 597, 841?
j**3 + 5*j**2 + 9
What is the c'th term of -72, -94, -136, -204, -304, -442?
-c**3 - 4*c**2 - 3*c - 64
What is the s'th term of 635, 626, 613, 596, 575, 550, 521?
-2*s**2 - 3*s + 640
What is the v'th term of -29, -36, -57, -98, -165, -264, -401, -582?
-v**3 - v**2 + 3*v - 30
What is the k'th term of 3, 25, 77, 171, 319, 533, 825, 1207?
2*k**3 + 3*k**2 - k - 1
What is the u'th term of 17788, 35574, 53360, 71146, 88932, 106718?
17786*u + 2
What is the k'th term of -55, -160, -265, -370, -475?
-105*k + 50
What is the n'th term of -59, -86, -135, -218, -347, -534?
-2*n**3 + n**2 - 16*n - 42
What is the u'th term of -13438, -13448, -13472, -13516, -13586, -13688, -13828?
-u**3 - u**2 - 13436
What is the v'th term of -1535, -1548, -1561, -1574?
-13*v - 1522
What is the t'th term of -64, -55, -40, -19, 8, 41?
3*t**2 - 67
What is the f'th term of -50, -97, -138, -167, -178, -165, -122?
f**3 - 3*f**2 - 45*f - 3
What is the y'th term of 175, 273, 371, 469, 567, 665?
98*y + 77
What is the f'th term of 301, 308, 311, 310, 305, 296?
-2*f**2 + 13*f + 290
What is the g'th term of -5, -81, -209, -389?
-26*g**2 + 2*g + 19
What is the w'th term of 568, 569, 570, 571, 572, 573?
w + 567
What is the o'th term of 124, 125, 128, 133, 140?
o**2 - 2*o + 125
What is the o'th term of -1501, -2995, -4489, -5983?
-1494*o - 7
What is the c'th term of -207, -208, -209, -210, -211?
-c - 206
What is the l'th term of 166, 332, 502, 676?
2*l**2 + 160*l + 4
What is the c'th term of -153, -141, -131, -123?
-c**2 + 15*c - 167
What is the r'th term of 22, 21, 20?
-r + 23
What is the f'th term of -1555, -3112, -4669?
-1557*f + 2
What is the b'th term of 91, 184, 277, 370, 463?
93*b - 2
What is the y'th term of 1896, 1897, 1898?
y + 1895
What is the d'th term of 7578, 7577, 7576?
-d + 7579
What is the f'th term of 10, 37, 82, 145, 226, 325?
9*f**2 + 1
What is the z'th term of 2, -8, -28, -64, -122, -208, -328, -488?
-z**3 + z**2 - 6*z + 8
What is the j'th term of -2595, -2633, -2697, -2787, -2903, -3045, -3213?
-13*j**2 + j - 2583
What is the c'th term of -46, -313, -1036, -2443, -4762?
-38*c**3 - c - 7
What is the u'th term of 686, 682, 676, 668, 658?
-u**2 - u + 688
What is the j'th term of -189, -334, -479, -624, -769, -914?
-145*j - 44
What is the k'th term of 13139, 13138, 13137, 13136?
-k + 13140
What is the m'th term of -23, -37, -53, -71, -91?
-m**2 - 11*m - 11
What is the d'th term of 8018, 8017, 8016, 8015, 8014, 8013?
-d + 8019
What is the k'th term of 1029, 1022, 1001, 960, 893?
-k**3 - k**2 + 3*k + 1028
What is the b'th term of 7, 11, 35, 91, 191?
2*b**3 - 2*b**2 - 4*b + 11
What is the j'th term of 99, 103, 109, 117, 127, 139, 153?
j**2 + j + 97
What is the l'th term of -15, -16, -7, 12, 41, 80?
5*l**2 - 16*l - 4
What is the n'th term of -267, -233, -201, -171, -143, -117?
-n**2 + 37*n - 303
What is the k'th term of 61, 243, 547, 973, 1521?
61*k**2 - k + 1
What is the c'th term of -25, -158, -379, -688, -1085, -1570, -2143?
-44*c**2 - c + 20
What is the g'th term of 9, 46, 113, 216, 361, 554, 801?
g**3 + 9*g**2 + 3*g - 4
What is the x'th term of -29, -50, -69, -86, -101, -114, -125?
x**2 - 24*x - 6
What is the k'th term of 26, 105, 232, 401, 606, 841, 1100?
-k**3 + 30*k**2 - 4*k + 1
What is the q'th term of 2920, 2916, 2912, 2908, 2904, 2900?
-4*q + 2924
What is the n'th term of 33, 51, 69, 87, 105?
18*n + 15
What is the u'th term of 1491, 1496, 1511, 1542, 1595, 1676?
u**3 - u**2 + u + 1490
What is the h'th term of -1629, -3261, -4893?
-1632*h + 3
What is the b'th term of -10, -51, -120, -217?
-14*b**2 + b + 3
What is the m'th term of 11, 49, 119, 221, 355, 521?
16*m**2 - 10*m + 5
What is the p'th term of 10, 53, 96, 139, 182?
43*p - 33
What is the x'th term of 14, 13, 4, -13, -38?
-4*x**2 + 11*x + 7
What is the q'th term of -921, -929, -949, -987, -1049, -1141, -1269, -1439?
-q**3 - q - 919
What is the c'th term of 17486, 17487, 17488, 17489?
c + 17485
What is the a'th term of -183, -221, -261, -303, -347, -393?
-a**2 - 35*a - 147
What is the t'th term of 36, 73, 118, 177, 256, 361?
t**3 - 2*t**2 + 36*t + 1
What is the i'th term of -14, -1, 12, 25, 38?
13*i - 27
What is the a'th term of 6, 13, 16, 15, 10?
-2*a**2 + 13*a - 5
What is the m'th term of 493, 491, 489, 487?
-2*m + 495
What is the y'th term of -528, -523, -518, -513?
5*y - 533
What is the t'th term of 280, 355, 442, 547, 676, 835?
t**3 + 68*t + 211
What is the a'th term of -25, -117, -261, -451, -681, -945, -1237?
a**3 - 32*a**2 - 3*a + 9
What is the u'th term of 85, 91, 97, 103?
6*u + 79
What is the q'th term of -110, -490, -1138, -2054, -3238?
-134*q**2 + 22*q + 2
What is the l'th term of 4, 26, 86, 202, 392?
3*l**3 + l**2 - 2*l + 2
What is the t'th term of -7, -9, 13, 71, 177, 343?
2*t**3 - 16*t + 7
What is the c'th term of -18, -40, -88, -174, -310, -508, -780?
-2*c**3 - c**2 - 5*c - 10
What is the a'th term of 697, 695, 693, 691?
-2*a + 699
What is the c'th term of -29, -90, -147, -200?
2*c**2 - 67*c + 36
What is the d'th term of 399, 414, 431, 450, 471, 494?
d**2 + 12*d + 386
What is the d'th term of 407, 804, 1187, 1550, 1887, 2192?
-d**3 - d**2 + 407*d + 2
What is the l'th term of -43, -173, -397, -721, -1151, -1693?
-l**3 - 41*l**2 - 1
What is the v'th term of -32, -34, -32, -26, -16, -2, 16?
2*v**2 - 8*v - 26
What is the x'th term of 10, -4, -30, -68, -118?
-6*x**2 + 4*x + 12
What is the j'th term of 519, 525, 551, 609, 711, 869?
2*j**3 - 2*j**2 - 2*j + 521
What is the v'th term of 9, 13, 17, 21, 25?
4*v + 5
What is the h'th term of 848, 838, 828?
-10*h + 858
What is the o'th term of 6, 8, 6, 0, -10, -24?
-2*o**2 + 8*o
What is the r'th term of 1088, 1096, 1104, 1112, 1120?
8*r + 1080
What is the g'th term of -153, -612, -1379, -2454, -3837, -5528?
-154*g**2 + 3*g - 2
What is the l'th term of 17, 30, 43, 56?
13*l + 4
What is the l'th term of -11, -8, -7, -8?
-l**2 + 6*l - 16
What is the s'th term of -1978, -1983, -1998, -2029, -2082?
-s**3 + s**2 - s - 1977
What is the p'th term of -6813, -6815, -6819, -6825?
-p**2 + p - 6813
What is the i'th term of 87, 146, 203, 258, 311, 362, 411?
-i**2 + 62*i + 26
What is the u'th term of 158, 317, 476, 635, 794?
159*u - 1
What is the h'th term of -29, -48, -67?
-19*h - 10
What is the c'th term of -932, -919, -892, -845, -772, -667, -524, -337?
c**3 + c**2 + 3*c - 937
What is the f'th term of 13, 19, 25, 31, 37, 43?
6*f + 7
What is the o'th term of 98, 103, 112, 125, 142?
2*o**2 - o + 97
What is the d'th term of 179, 191, 203, 215, 227, 239?
12*d + 167
What is the k'th term of -25, -87, -187, -325, -501?
-19*k**2 - 5*k - 1
What is the i'th term of 379, 710, 1041, 1372, 1703?
331*i + 48
What is the w'th term of -60, -111, -162, -213?
-
|
{
"pile_set_name": "DM Mathematics"
}
|
ons digit of 25486225?
2
What is the tens digit of 62960?
6
What is the millions digit of 1998452?
1
What is the thousands digit of 7599622?
9
What is the tens digit of 1494898?
9
What is the hundreds digit of 390434?
4
What is the thousands digit of 61672?
1
What is the hundred thousands digit of 402926?
4
What is the hundred thousands digit of 21695912?
6
What is the hundred thousands digit of 137079?
1
What is the hundred thousands digit of 718026?
7
What is the ten thousands digit of 2295584?
9
What is the ten thousands digit of 1150855?
5
What is the units digit of 68357?
7
What is the thousands digit of 246254?
6
What is the hundreds digit of 2682582?
5
What is the hundreds digit of 346123?
1
What is the units digit of 560575?
5
What is the tens digit of 689160?
6
What is the hundred thousands digit of 207255?
2
What is the units digit of 151236?
6
What is the millions digit of 7312436?
7
What is the thousands digit of 2909132?
9
What is the tens digit of 878307?
0
What is the tens digit of 270533?
3
What is the ten thousands digit of 5575254?
7
What is the thousands digit of 940521?
0
What is the hundred thousands digit of 920809?
9
What is the units digit of 615639?
9
What is the tens digit of 9928?
2
What is the tens digit of 340550?
5
What is the tens digit of 2682433?
3
What is the ten thousands digit of 10718664?
1
What is the thousands digit of 4603190?
3
What is the tens digit of 2159910?
1
What is the millions digit of 2748372?
2
What is the thousands digit of 1973782?
3
What is the ten thousands digit of 1163409?
6
What is the units digit of 4432181?
1
What is the thousands digit of 340394?
0
What is the tens digit of 14991970?
7
What is the ten thousands digit of 105788?
0
What is the hundred thousands digit of 385339?
3
What is the hundreds digit of 676420?
4
What is the units digit of 5473765?
5
What is the tens digit of 13975?
7
What is the units digit of 29986409?
9
What is the units digit of 306066?
6
What is the units digit of 987493?
3
What is the millions digit of 12059404?
2
What is the thousands digit of 48242?
8
What is the ten millions digit of 14302595?
1
What is the thousands digit of 464105?
4
What is the hundred thousands digit of 10208946?
2
What is the thousands digit of 213174?
3
What is the ten thousands digit of 7299007?
9
What is the hundreds digit of 189392?
3
What is the tens digit of 671518?
1
What is the hundreds digit of 732385?
3
What is the ten thousands digit of 1014109?
1
What is the ten thousands digit of 382337?
8
What is the tens digit of 4123284?
8
What is the thousands digit of 20639?
0
What is the units digit of 10221379?
9
What is the tens digit of 7509662?
6
What is the millions digit of 1787749?
1
What is the hundreds digit of 230701?
7
What is the thousands digit of 140012?
0
What is the tens digit of 6612024?
2
What is the hundred thousands digit of 2411875?
4
What is the hundreds digit of 54981?
9
What is the hundreds digit of 1013337?
3
What is the thousands digit of 4725200?
5
What is the thousands digit of 266497?
6
What is the ten millions digit of 11834580?
1
What is the hundreds digit of 523427?
4
What is the ten millions digit of 18612483?
1
What is the millions digit of 2836819?
2
What is the ten thousands digit of 19079231?
7
What is the units digit of 3384457?
7
What is the ten thousands digit of 19782758?
8
What is the millions digit of 3503613?
3
What is the ten thousands digit of 559256?
5
What is the millions digit of 5117784?
5
What is the tens digit of 4319033?
3
What is the hundred thousands digit of 1230328?
2
What is the units digit of 959121?
1
What is the ten thousands digit of 143141?
4
What is the hundreds digit of 5280692?
6
What is the hundreds digit of 1446190?
1
What is the ten thousands digit of 3389542?
8
What is the hundreds digit of 2049416?
4
What is the hundreds digit of 119497?
4
What is the thousands digit of 11401?
1
What is the hundreds digit of 94156?
1
What is the thousands digit of 365335?
5
What is the hundreds digit of 2834891?
8
What is the tens digit of 53341?
4
What is the hundred thousands digit of 4639047?
6
What is the hundred thousands digit of 4545913?
5
What is the millions digit of 3141664?
3
What is the tens digit of 1279083?
8
What is the tens digit of 703558?
5
What is the thousands digit of 99555?
9
What is the hundred thousands digit of 161262?
1
What is the hundreds digit of 22763?
7
What is the hundreds digit of 869878?
8
What is the units digit of 10303440?
0
What is the hundreds digit of 782222?
2
What is the thousands digit of 23871?
3
What is the thousands digit of 909789?
9
What is the ten millions digit of 18577023?
1
What is the units digit of 218213?
3
What is the thousands digit of 2958361?
8
What is the hundred thousands digit of 912924?
9
What is the ten millions digit of 18720864?
1
What is the hundreds digit of 424561?
5
What is the hundred thousands digit of 287231?
2
What is the millions digit of 1504333?
1
What is the ten millions digit of 13126429?
1
What is the hundred thousands digit of 443684?
4
What is the thousands digit of 5901737?
1
What is the ten thousands digit of 2123100?
2
What is the thousands digit of 94600?
4
What is the hundred thousands digit of 492749?
4
What is the thousands digit of 5841209?
1
What is the hundreds digit of 33962205?
2
What is the tens digit of 11558372?
7
What is the tens digit of 41083?
8
What is the hundreds digit of 11676954?
9
What is the units digit of 8853997?
7
What is the hundreds digit of 34446559?
5
What is the hundred thousands digit of 6142449?
1
What is the millions digit of 12638550?
2
What is the hundred thousands digit of 847410?
8
What is the tens digit of 4896714?
1
What is the hundred thousands digit of 234027?
2
What is the tens digit of 307073?
7
What is the ten thousands digit of 33027?
3
What is the units digit of 99796?
6
What is the hundred thousands digit of 676856?
6
What is the ten thousands digit of 29092?
2
What is the tens digit of 582479?
7
What is the hundreds digit of 1351228?
2
What is the ten thousands digit of 690929?
9
What is the tens digit of 1173499?
9
What is the tens digit of 74675?
7
What is the thousands digit of 9878087?
8
What is the hundreds digit of 5192742?
7
What is the ten thousands digit of 1484392?
8
What is the units digit of 441628?
8
What is the units digit of 2682340?
0
What is the ten thousands digit of 734377?
3
What is the ten thousands digit of 1038228?
3
What is the hundreds digit of 10715631?
6
What is the tens digit of 7767213?
1
What is the hundred thousands digit of 368694?
3
What is the millions digit of 11530592?
1
What is the tens digit of 109173?
7
What is the hundreds digit of 106272?
2
What is the millions digit of 14632564?
4
What is the millions digit of 6644198?
6
What is the tens digit of 864451?
5
What is the hundred thousands digit of 15341025?
3
What is the tens digit of 3663766?
6
What is the units digit of 6593311?
1
What is the units digit of 3085582?
2
What is the ten millions digit of 13787356?
1
What is the units digit of 181941?
1
What is the hundred thousands digit of 415581?
4
What is the thousands digit of 8278327?
8
What is the tens digit of 7505188?
8
What is the millions digit of 2958457?
2
What is the thousands digit of 467044?
7
What is the tens digit of 405786?
8
What is the hundred thousands digit of 4672252?
6
What is the millions digit of 10126433?
0
What is the thousands digit of 156809?
6
What is the millions digit of 5517699?
5
What is the millions digit of 5187366?
5
What is the millions digit of 25395068?
5
What is the ten millions digit of 12489768?
1
What is the hundreds digit of 39250?
2
What is the tens digit of 786241?
4
What is the ten thousands digit of 1526250?
2
What is the ten thousands digit of 460166?
6
What is the tens digit of 17822073?
7
What is the units digit of 885671?
1
What is the ten thousands digit of 180270?
8
What is the tens digit of 1752671?
7
What is the thousands digit of 281034?
1
What is the units digit of 14722551?
1
What is the hundreds digit of 2114125?
1
What is the thousands digit of 11715806?
5
What is the units digit of 854691?
1
What is the hundred thousands digit of 407230?
4
What is the thousands digit of 7739518?
9
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
/w**(1/14)))**25)**(-3/11) assuming w is positive.
w**(-2175/154)
Simplify (r*(r**(5/6)*r)/r)/r*r*r**(-2/49)*((r/r**4)/r)/r**(3/2) assuming r is positive.
r**(-545/147)
Simplify (z*z/z**(-3/5))**(2/3)*(z/z**(-2/3))**26 assuming z is positive.
z**(676/15)
Simplify ((((j/(j*(j*(j*j**(-1))/j*j)/j*j)*j)/j*j*j)/j*j*j**(-13))/(j**(-1/7)*j*j**(-2/19)))**(1/45) assuming j is positive.
j**(-1696/5985)
Simplify (k**7)**(-22)*(k*k**(1/2))/((k/(k*k*k*k**(2/7)))/k*k) assuming k is positive.
k**(-2103/14)
Simplify ((y**(-17)/y)/y)**32/(y**(-10/9)/y)**(31/4) assuming y is positive.
y**(-21299/36)
Simplify (p**(-21)/p)/(p**31*p)*p**(3/2)*p*p**(10/11)*p assuming p is positive.
p**(-1091/22)
Simplify (h**3)**(-44)/(h*h/(h/h**(-9))*h*h)**(-44) assuming h is positive.
h**(-396)
Simplify (m/(m/m**(-12))*m**(-1/3))**34 assuming m is positive.
m**(-1258/3)
Simplify (j/((j**(7/4)*j)/j*j*j*j*j))/(j**(-2/11)*j)*(j**2/j*j)**(-12/13) assuming j is positive.
j**(-4241/572)
Simplify ((j/j**(1/10)*j*j**(1/2)/j)/(j**(2/5))**38)**(-17) assuming j is positive.
j**(1173/5)
Simplify (u*u/(u*u/(u**8*u*u)))**(-6)*(u**(-2/29)*u)/(u*u**12) assuming u is positive.
u**(-2090/29)
Simplify (h/(h*h**(-3/28)))**(-45)*(h/(h/h**(-3/37)))/h**(6/5) assuming h is positive.
h**(-31611/5180)
Simplify ((r/(r/r**(-1)))**(-48)*r**(3/4)/r**(1/5))**4 assuming r is positive.
r**(971/5)
Simplify ((m*m*m*m/(m/(m**43*m))*m*m)/(m/(m**(-3/5)/m)))**(9/7) assuming m is positive.
m**(2088/35)
Simplify ((r/(r/r**5))/(r**(-8)/r)*r**(-1/8)*r**(-5))**(-2/19) assuming r is positive.
r**(-71/76)
Simplify z*z**(2/67)*z*z**(-30)*z**(-3/29)*z**(2/5) assuming z is positive.
z**(-268849/9715)
Simplify f**4/((f*f**(2/7))/f)*f**(-5)/f*f*f**1*f assuming f is positive.
f**(5/7)
Simplify ((z/(z**(-11)/z))/(z/(z/(z**19*z))))/(z**19/(z**(-18/11)*z)) assuming z is positive.
z**(-293/11)
Simplify ((b*b**(1/4)*b)/(b*b/(b*(b*b*b**(-3)*b)/b))*(b**1)**(-9))**(-34) assuming b is positive.
b**(595/2)
Simplify ((o**(1/7)/o)**(4/19))**(10/13) assuming o is positive.
o**(-240/1729)
Simplify (n/(n/n**(-2/13)*n))/(n**11*n)*(n/(n*n**(-1/3)*n))**(-47) assuming n is positive.
n**(709/39)
Simplify (w/(w**(-6/7)/w))**(29/3)*(w*w**(-2))**(-3/10) assuming w is positive.
w**(5863/210)
Simplify ((i**(-3/10)/(i*i/((i*(i**(-1/9)/i)/i)/i*i)))**(-50))**(2/177) assuming i is positive.
i**(3070/1593)
Simplify ((o*o/o**32)/o**(-25))**(1/99) assuming o is positive.
o**(-5/99)
Simplify (((r**(-2/19)*r*r*r)/r)**46)**(-44) assuming r is positive.
r**(-72864/19)
Simplify (x/x**(-1/25))/(x*x/(x/(((x*x**7)/x)/x)))*x**(-6)/x**(3/14) assuming x is positive.
x**(-4261/350)
Simplify (b**(-7)*b)**(-1/27)/(b**(-18))**(20/13) assuming b is positive.
b**(3266/117)
Simplify l**7*l*l*l**(-2/5)*l**(-1/2)/(l**5/l) assuming l is positive.
l**(41/10)
Simplify (k**(10/3)*k)/((k/(k/(k*k/(k*(k/(k*(k/k**(-17))/k))/k))*k))/k)*(k**(-18))**24 assuming k is positive.
k**(-1334/3)
Simplify (q**(-24))**39*(q**(-34/7)/q)/(q*q**(32/7)) assuming q is positive.
q**(-6632/7)
Simplify (x/x**(-9))**(-1/3)*x*x*x**(-9/4)*x**(1/4) assuming x is positive.
x**(-10/3)
Simplify k**(5/7)/k**(-22)*(k*k*k/(k**(-32)*k))**(-27) assuming k is positive.
k**(-6267/7)
Simplify ((l*l/l**10*l)/l*l)**(10/9)/(l**(-5/2)*l**(5/3)) assuming l is positive.
l**(-125/18)
Simplify (l**(-3/7)*l**11)/((l*l**4*l)/l**(-1/12)) assuming l is positive.
l**(377/84)
Simplify (p/(p/(p*p**(2/65)))*p)/p**(5/7)*(p/p**(5/6))**(18/5) assuming p is positive.
p**(872/455)
Simplify (k*k**(-2/9)*k*k*k)**(-49)*k*k**(5/4)*k/(k*k**4/k) assuming k is positive.
k**(-6691/36)
Simplify ((c/(c*(c*c*c*c*c**(-2/29)*c*c)/c*c))**(-8))**50 assuming c is positive.
c**(68800/29)
Simplify ((v**(2/5)/v**(8/3))**(-14))**(-30) assuming v is positive.
v**(-952)
Simplify (z*z**16)/(z**(-2/45)/z)*(z/z**(1/5))**(-24) assuming z is positive.
z**(-52/45)
Simplify f**12/f**9*f**(-12)/f**(1/11) assuming f is positive.
f**(-100/11)
Simplify (((k/k**17)/k*k)**(-10/11))**(6/11) assuming k is positive.
k**(960/121)
Simplify (v**(-1/6)*v/(v*v**13*v))/(v**1*v**(-13)) assuming v is positive.
v**(-13/6)
Simplify (r/r**(-1/3))**9*r**(1/13)*r**20 assuming r is positive.
r**(417/13)
Simplify (y**(-9)*y**(-8)/y)/(y*(y*(y*y**18*y)/y)/y*y/y**15) assuming y is positive.
y**(-24)
Simplify (s**8/((s/s**(-3/4))/s))/(s/(s/(s**(-9/7)*s))*s**(-6/11)/s*s) assuming s is positive.
s**(2489/308)
Simplify t**(-16/3)/t**(-3)*t**31/(t*t*t*t**21*t*t) assuming t is positive.
t**(8/3)
Simplify (((i**12/i)**(-7/2))**(-42))**(3/2) assuming i is positive.
i**(4851/2)
Simplify ((b**0*b)**(1/46)/(b*b/b**0*b)**30)**(-29/2) assuming b is positive.
b**(120031/92)
Simplify ((f*f**3*((f/f**(1/6)*f)/f)/f)**(8/9))**(-33) assuming f is positive.
f**(-1012/9)
Simplify (((u**(-11))**(-34))**(6/7))**(10/13) assuming u is positive.
u**(22440/91)
Simplify ((n*n*n**(2/29))/n*n/n**(1/11))/(n/(n*n**(-18))*((n*n**(-10))/n)/n) assuming n is positive.
n**(-1602/319)
Simplify (g*g/(g/(g*g/((g**13/g)/g))))**(-13/6)*(g**(-7))**(2/87) assuming g is positive.
g**(498/29)
Simplify r/r**10*r*r/(r/r**(-5/7))*r*r*r/r**(-1/17)*r*r/(r/(r**11/r)) assuming r is positive.
r**(636/119)
Simplify (z*(z/(z*z*z/(z*z/(z*(z/((z*z**(-4/5)/z)/z))/z))))/z*z)**(4/25)/(z**2)**18 assuming z is positive.
z**(-4536/125)
Simplify (c*c**(-2)/c*c)**16/(c*c/(c**(2/7)*c)*c)**10 assuming c is positive.
c**(-232/7)
Simplify (s/(s**(6/5)*s)*(s*s**10)/s)/((s*s**16)/(s*s**4)) assuming s is positive.
s**(-16/5)
Simplify ((o/(o*o**(-6)))/o*o/(o*o/(o/o**(-2/7)))*((o/(o/o**4))/o)/o*o**(8/7))**(-11) assuming o is positive.
o**(-649/7)
Simplify (x*x**(-1)/x*x**(-5)*x*(x**(-2/7))**(-17))**23 assuming x is positive.
x**(-23/7)
Simplify (x/(x*x**(1/22)))/x**9*((x*x*x**(6/7))/x*x)/((x*x**(-1/4)*x)/x) assuming x is positive.
x**(-2137/308)
Simplify (i**(8/9)/i*i**(3/2))**5 assuming i is positive.
i**(125/18)
Simplify z/(z*z**(-1/25))*z**(10/3)*z*z*z**(2/11)*(z**(3/5)/z)/z assuming z is positive.
z**(3428/825)
Simplify (k*k**15)/(k/(k*k/k**(-2/71)))*k**(1/16)*k*((k*k**(17/3)*k)/k)/k assuming k is positive.
k**(80965/3408)
Simplify (y**(4/3)*y**(1/2))/((((((y*y*y**(1/6)*y*y)/y)/y)/y)/y)/y)**47 assuming y is positive.
y**41
Simplify ((o*o/o**3*((o/(o*o*o*o**5))/o)/o)/(o**0)**(-28))**(-48) assuming o is positive.
o**480
Simplify (u**(1/9))**(-4/39)*((u*(u/u**(-10))/u*u)/u)/(u/u**(-2)) assuming u is positive.
u**(2804/351)
Simplify (g**0/g)**(4/27)/(g*g**(-12)*g/g**(5/2)) assuming g is positive.
g**(667/54)
Simplify (t*t/(t*t**0*t)*t*t)/(t*t*t*t*t/t**(-4)*t)*t/(t*t**(4/7))*t*t**2 assuming t is positive.
t**(-39/7)
Simplify ((r/(r**(-2)*r)*r*r)**(-49)*(r*r**(2/7)*r)/(r*(r*r**(-2/13)/r)/r))**44 assuming r is positive.
r**(-775016/91)
Simplify ((j/j**(-5/4))**(-35))**24 assuming j is positive.
j**(-1890)
Simplify (o**(-6/13))**(-5/2)*(o*o*o/((o*o/(o*o**(21/5))*o*o)/o)*o)/(o*o/(o**19/o*o)) assuming o is positive.
o**(1583/65)
Simplify h/h**(-7)*h*h/h**(5/4)*h*(h*h/(h**(-2)/h)*h)**40 assuming h is positive.
h**(999/4)
Simplify (((t*t**(-20))/(t*t/((t*(t**22*t)/t*t)/t)*t*t*t))**(-13/4))**(-19) assuming t is positive.
t**(-247/4)
Simplify (u*u*u/u**9*u)**44/(u**(2/45)/u**(-14)) assuming u is positive.
u**(-10532/45)
Simplify ((x/(x**(-1)/x)*x)/x**(-2)*(x**(-2/13)*x)/x*x*x/x**(-5/3)*x)**(2/15) assuming x is positive.
x**(164/117)
Simplify ((q**(-3/8)*q**(5/2))**(1/49))**(-13/3) assuming q is positive.
q**(-221/1176)
Simplify (o**(5/2)/(o*o*o**(-1/7)))/(o*o**(-2/9))**(-5/7) assuming o is positive.
o**(151/126)
Simplify ((v/(v*v*v*v/v**2))/v*v**13)/(v**(3/2)/v**(-11)) assuming v is positive.
v**(-3/2)
Simplify c**12*c/((c**(-1/4)*c)/c)*(c**(-6)/c*c)/c**(-2/17) assuming c is positive.
c**(501/68)
Simplify (r**(1/5)*r*r*r*(r**(1/16)*r)/r)/(r*(r/(r*r/r**4))/r)**(-31) assuming r is positive.
r**(7701/80)
Simplify (s**(1/32)/((s*s/(s**(-6)*s*s))/s))/(s/((s*s**(-1/3))/s*s))**(8/11) assuming s is positive.
s**(-5503/1056)
Simplify (r/(r*r**(-1/9))*r*r)/(r/r**8)*(r**(1/5)*r)**(8/9) assuming r is positive.
r**(458/45)
Simplify ((u*u**(-17))/u**(-9))/((u/(u/u**4))/(((u/((u**(-2/27)*u*u*u)/u*u*u))/u)/u)) assuming u is positive.
u**(-430/27)
Simplify ((k*k/((k*k**1)/k*k))/(k*k**(-3/2)*k)*k**(1/6)*k/(k/(k*k*(k*k/k**(-1/5)*k*k)/k)))**(3/17) assuming k is positive.
k**(73/85)
Simplify (w/(w*
|
{
"pile_set_name": "DM Mathematics"
}
|
r when 186 is divided by 57?
15
What is the remainder when 3996 is divided by 87?
81
What is the remainder when 479 is divided by 23?
19
Calculate the remainder when 23 is divided by 16.
7
Calculate the remainder when 2192 is divided by 9.
5
Calculate the remainder when 246 is divided by 82.
0
Calculate the remainder when 47 is divided by 17.
13
Calculate the remainder when 1386 is divided by 19.
18
What is the remainder when 19 is divided by 11?
8
What is the remainder when 178 is divided by 50?
28
Calculate the remainder when 654 is divided by 5.
4
Calculate the remainder when 2545 is divided by 49.
46
Calculate the remainder when 1276 is divided by 161.
149
What is the remainder when 5077 is divided by 5073?
4
Calculate the remainder when 199 is divided by 10.
9
Calculate the remainder when 216 is divided by 57.
45
What is the remainder when 141 is divided by 51?
39
What is the remainder when 283 is divided by 87?
22
Calculate the remainder when 55 is divided by 19.
17
Calculate the remainder when 998 is divided by 42.
32
What is the remainder when 107 is divided by 47?
13
What is the remainder when 172 is divided by 35?
32
Calculate the remainder when 126 is divided by 45.
36
Calculate the remainder when 364 is divided by 115.
19
Calculate the remainder when 341 is divided by 86.
83
What is the remainder when 2448 is divided by 4?
0
Calculate the remainder when 11680 is divided by 99.
97
Calculate the remainder when 412 is divided by 104.
100
Calculate the remainder when 2137 is divided by 20.
17
Calculate the remainder when 178 is divided by 52.
22
Calculate the remainder when 1826 is divided by 21.
20
Calculate the remainder when 26 is divided by 7.
5
Calculate the remainder when 152 is divided by 11.
9
Calculate the remainder when 584 is divided by 136.
40
What is the remainder when 137 is divided by 73?
64
What is the remainder when 130 is divided by 98?
32
Calculate the remainder when 476 is divided by 48.
44
What is the remainder when 122 is divided by 13?
5
Calculate the remainder when 370 is divided by 53.
52
What is the remainder when 464 is divided by 126?
86
Calculate the remainder when 1159 is divided by 129.
127
Calculate the remainder when 52 is divided by 6.
4
What is the remainder when 235 is divided by 50?
35
What is the remainder when 533 is divided by 95?
58
Calculate the remainder when 705 is divided by 140.
5
What is the remainder when 245 is divided by 31?
28
What is the remainder when 1572 is divided by 21?
18
What is the remainder when 249 is divided by 25?
24
What is the remainder when 229 is divided by 69?
22
Calculate the remainder when 183 is divided by 45.
3
Calculate the remainder when 63 is divided by 55.
8
What is the remainder when 213 is divided by 87?
39
Calculate the remainder when 141 is divided by 11.
9
Calculate the remainder when 1160 is divided by 380.
20
What is the remainder when 426 is divided by 54?
48
What is the remainder when 13 is divided by 2?
1
Calculate the remainder when 1573 is divided by 45.
43
What is the remainder when 2689 is divided by 46?
21
What is the remainder when 560 is divided by 23?
8
Calculate the remainder when 1106 is divided by 101.
96
Calculate the remainder when 550 is divided by 178.
16
What is the remainder when 340 is divided by 173?
167
What is the remainder when 55 is divided by 9?
1
Calculate the remainder when 1409 is divided by 94.
93
What is the remainder when 305 is divided by 33?
8
Calculate the remainder when 140 is divided by 33.
8
Calculate the remainder when 189 is divided by 107.
82
Calculate the remainder when 702 is divided by 248.
206
What is the remainder when 298 is divided by 31?
19
Calculate the remainder when 618 is divided by 62.
60
What is the remainder when 97 is divided by 20?
17
What is the remainder when 163 is divided by 7?
2
Calculate the remainder when 894 is divided by 84.
54
Calculate the remainder when 1693 is divided by 170.
163
What is the remainder when 320 is divided by 62?
10
Calculate the remainder when 50 is divided by 3.
2
Calculate the remainder when 77 is divided by 50.
27
What is the remainder when 75 is divided by 7?
5
What is the remainder when 3735 is divided by 12?
3
What is the remainder when 1023 is divided by 78?
9
Calculate the remainder when 242 is divided by 74.
20
Calculate the remainder when 378 is divided by 29.
1
What is the remainder when 2702 is divided by 53?
52
Calculate the remainder when 1946 is divided by 71.
29
What is the remainder when 151 is divided by 39?
34
What is the remainder when 793 is divided by 21?
16
Calculate the remainder when 529 is divided by 208.
113
What is the remainder when 58 is divided by 21?
16
Calculate the remainder when 134 is divided by 31.
10
What is the remainder when 2633 is divided by 37?
6
What is the remainder when 256 is divided by 89?
78
Calculate the remainder when 190 is divided by 20.
10
What is the remainder when 221 is divided by 75?
71
Calculate the remainder when 2485 is divided by 21.
7
What is the remainder when 281 is divided by 92?
5
What is the remainder when 435 is divided by 23?
21
Calculate the remainder when 3889 is divided by 11.
6
What is the remainder when 123 is divided by 18?
15
Calculate the remainder when 69 is divided by 25.
19
Calculate the remainder when 2170 is divided by 721.
7
Calculate the remainder when 6160 is divided by 101.
100
What is the remainder when 290 is divided by 157?
133
What is the remainder when 215 is divided by 54?
53
Calculate the remainder when 148 is divided by 41.
25
What is the remainder when 983 is divided by 12?
11
What is the remainder when 150 is divided by 19?
17
Calculate the remainder when 2891 is divided by 3.
2
Calculate the remainder when 646 is divided by 9.
7
What is the remainder when 310 is divided by 101?
7
Calculate the remainder when 62 is divided by 43.
19
What is the remainder when 488 is divided by 23?
5
Calculate the remainder when 287 is divided by 6.
5
Calculate the remainder when 303 is divided by 18.
15
What is the remainder when 794 is divided by 53?
52
What is the remainder when 238 is divided by 24?
22
Calculate the remainder when 54 is divided by 14.
12
What is the remainder when 136 is divided by 81?
55
Calculate the remainder when 218 is divided by 87.
44
Calculate the remainder when 859 is divided by 79.
69
Calculate the remainder when 1990 is divided by 650.
40
Calculate the remainder when 5947 is divided by 175.
172
Calculate the remainder when 139 is divided by 72.
67
What is the remainder when 187 is divided by 32?
27
What is the remainder when 503 is divided by 14?
13
What is the remainder when 443 is divided by 89?
87
Calculate the remainder when 949 is divided by 10.
9
What is the remainder when 2339 is divided by 117?
116
What is the remainder when 1343 is divided by 112?
111
Calculate the remainder when 70 is divided by 21.
7
Calculate the remainder when 115 is divided by 8.
3
Calculate the remainder when 272 is divided by 122.
28
What is the remainder when 360 is divided by 92?
84
Calculate the remainder when 122 is divided by 115.
7
Calculate the remainder when 17423 is divided by 48.
47
What is the remainder when 344 is divided by 89?
77
Calculate the remainder when 30 is divided by 27.
3
Calculate the remainder when 151 is divided by 80.
71
What is the remainder when 105 is divided by 20?
5
What is the remainder when 7757 is divided by 10?
7
What is the remainder when 439 is divided by 29?
4
Calculate the remainder when 5163 is divided by 1716.
15
Calculate the remainder when 148 is divided by 50.
48
Calculate the remainder when 348 is divided by 44.
40
What is the remainder when 3116 is divided by 30?
26
What is the remainder when 325 is divided by 161?
3
What is the remainder when 767 is divided by 11?
8
Calculate the remainder when 2171 is divided by 145.
141
Calculate the remainder when 912 is divided by 153.
147
Calculate the remainder when 548 is divided by 9.
8
What is the remainder when 95 is divided by 21?
11
What is the remainder when 2160 is divided by 46?
44
What is the remainder when 1368 is divided by 169?
16
Calculate the remainder when 33 is divided by 2.
1
Calculate the remainder when 816 is divided by 39.
36
What is the remainder when 522 is divi
|
{
"pile_set_name": "DM Mathematics"
}
|
= -182.76562 - 4.37738. Let t = c + 187. Let l = t + 0.23. What is l rounded to two dps?
0.09
Let w(c) = -c - 2. Let s be w(-6). Suppose 3*y = s*o - 20099996, 2*o + 8232634 = -y + 1532632. What is y rounded to the nearest one million?
-7000000
Let h = -53.977160048 + 3.977159628. Let w = -50 - h. What is w rounded to seven dps?
0.0000004
Let h = -325.47 - -327. Let p = -73.47 - h. Let c = -74.9999941 - p. What is c rounded to six dps?
0.000006
Let g = 11.4 + -15. Let x = g - -3.599927. What is x rounded to five dps?
-0.00007
Suppose 4*b - 26008 = -n - n, 0 = -2*n - 5*b + 26010. What is n rounded to the nearest 1000?
13000
Let j(k) = k**3 - 10*k**2 + 12*k - 11. Let h be j(8). Let v = h - -29. Round v to the nearest ten.
-10
Let k(v) = -638*v**3 - 6*v**2 + 4*v. Let q be k(6). What is q rounded to the nearest 10000?
-140000
Let a = 0.29999991 + -0.3. Round a to seven dps.
-0.0000001
Let m = -2.9 - -2.77. Let y = m - 7.87. Let s = 8.0006 + y. What is s rounded to 4 decimal places?
0.0006
Suppose -7*a = -10*a - 120000. Round a to the nearest one hundred thousand.
0
Let b be -1 - ((-3)/1 + 1). Let v(a) = 8*a**2 + 1. Let f be v(b). Let u be (-52194)/f + 4/(-6). What is u rounded to the nearest 1000?
-6000
Let i = 134.0000124 + -134. Round i to 6 decimal places.
0.000012
Let s = -4.9 + 1.02. Let g = s + 2.31. Let n = 0.07 + g. What is n rounded to the nearest integer?
-2
Let w(o) = 2 - 3*o + 2*o - 1. Let l be w(3). Let x be -1*9600 - (l - -2). What is x rounded to the nearest 1000?
-10000
Let n = -13.357 + 0.157. Let q = -11 - n. Let g = q - 2.75. Round g to one decimal place.
-0.6
Suppose 576 = -0*u + 4*u. Suppose 256 = w - u. What is w rounded to the nearest 1000?
0
Let d = 56.09 - 0.09. Let n = 342647990.0000062 - 342648046. Let g = d + n. Round g to six decimal places.
0.000006
Let l(k) = 1954*k + 5. Let p be l(5). Let y = -14675 + p. What is y rounded to the nearest 1000?
-5000
Let h be 1/((-1)/(-2)) - -397. Suppose -5 = -2*a - h. Let m be -934*a/2 - -1. What is m rounded to the nearest ten thousand?
90000
Let b(l) = -21997*l - 3. Let o be b(1). What is o rounded to the nearest ten thousand?
-20000
Let f = -0.2 + -38.8. Let u = -1576 - -1615.92. Let v = f + u. What is v rounded to one dp?
0.9
Let h be 5600003 - (-4 + 9 - 2). Round h to the nearest one million.
6000000
Let g(l) = 6*l**3 + 2*l**2 + 1. Suppose 0 = -5*i + 2*i + 6. Let o be g(i). Round o to the nearest 10.
60
Let b = -379478564502 + 379477569736.550089. Let y = b + 994808.45. Let d = -43 + y. What is d rounded to five decimal places?
0.00009
Let i(o) = o**3 + o**2 - o + 12. Let l be i(0). Let h be (-5759)/3 - 4/l. Let u be (28125/12)/((-1)/h). What is u rounded to the nearest 1000000?
5000000
Let p = 327994 + -327993.9499994. Let r = p + -0.05. What is r rounded to 7 dps?
0.0000006
Let o = 0.07 + -0.070105. Round o to five dps.
-0.00011
Let k = 7 - 5. Suppose c = -k*c - 1207083. Let s = c + 1202361. What is s rounded to the nearest one hundred thousand?
800000
Let u be (-2081)/4 + 10/40. Round u to the nearest one hundred.
-500
Let l = 704348 + -473348. Round l to the nearest ten thousand.
230000
Let o = 16.36 - 12.428. Let y = o + -0.032. Let p = -4 + y. Round p to 1 dp.
-0.1
Let u = -46.2 - -46.1411. Round u to 3 dps.
-0.059
Let r = -20.19793 + 20.2. What is r rounded to 4 decimal places?
0.0021
Let o = 0.07 - 0.27. Let a = -0.0046884 - -0.20468844. Let c = o + a. What is c rounded to 7 decimal places?
0
Let g = 2.74 - 5.1. Let n = 0 + -2. Let d = n - g. What is d rounded to one dp?
0.4
Let u = -75.34 + 74. Let r = u + 10.3472. Let d = 9 - r. What is d rounded to 3 dps?
-0.007
Let p = 0.83 - 0.8300098. What is p rounded to six dps?
-0.00001
Suppose -2*c - 12 = -5*o, 4*c - 12 = -0*o + o. Suppose 0 = -5*g + 2*p + 15, o*g = -p + 23 + 2. Let r = 38 + g. What is r rounded to the nearest 10?
40
Let d = 50 - 50.063. What is d rounded to 2 dps?
-0.06
Let i = 0.35 + -0.350092. Round i to five decimal places.
-0.00009
Suppose -1177663 = 6*m + 12348935. Let v = 12754433 + m. What is v rounded to the nearest one million?
11000000
Suppose -i = -2*b + 60583, 3*i - 2*b = -4*b - 181709. Let k = 427 - i. Round k to the nearest ten thousand.
60000
Let v = 49.3 + -55. Let m = 4.83 + v. Round m to one decimal place.
-0.9
Suppose 2*u + 54502337 - 12302337 = 0. Round u to the nearest 1000000.
-21000000
Let h = 10.768 - -1.412. Let f = -2.52 - h. Round f to 0 decimal places.
-15
Let t = 13.0743 + -13.134301. Let g = t + 0.06. Round g to 6 decimal places.
-0.000001
Let q = 422.000183 - 422. Round q to 5 dps.
0.00018
Let q = 219821 - 12821. Round q to the nearest ten thousand.
210000
Let o = 5.1111394 - 5.05114. Let k = -0.06 + o. What is k rounded to six dps?
-0.000001
Let k = 0.867 + -0.027. Let q = 0.3 - k. Round q to one decimal place.
-0.5
Let r(j) = -3 + j - 22*j**3 - 4*j**3 + 6*j**3. Let n be r(3). Round n to the nearest 100.
-500
Suppose 0 = -5*q - 61 - 19. Let m be q/(-3) - 2/6. Suppose -2*f = -7*f + m*j + 990, -4*f + 794 = -3*j. Round f to the nearest one thousand.
0
Let d(f) = f. Let n be d(-1). Let g be (n - -2) + 4 + -1. Let h = -4 + g. What is h rounded to 5 decimal places?
0
Let g = -923 - -922.4135. Let z = 0.521 - g. Let v = -1.1 + z. Round v to three dps.
0.008
Let r = -13.733 + 280.353. Let n = r - 170.697. Let f = -96 + n. What is f rounded to two decimal places?
-0.08
Suppose -4*g + a = 4*a + 10502321, 3*g - 3*a + 7876725 = 0. Let h = 225578 + g. What is h rounded to the nearest 1000000?
-2000000
Let n(o) = -11055*o - 1. Let w be n(-3). Let u = 156836 + w. Round u to the nearest 100000.
200000
Let w = 536991 + 483009. What is w rounded to the nearest one hundred thousand?
1000000
Let s = 0.345 - 0.035. Let a = s + -0.31041. Round a to 4 dps.
-0.0004
Suppose 0*q + 2*q + 7 = t, 4*t + 4*q = 4. Suppose 4*l + 3*i - 169 = 2*i, t*l - 122 = 4*i. Round l to the nearest ten.
40
Let g = 13 + -8. Suppose 7 = -5*p - g*h + 2, -5*h - 17 = 2*p. Let f be -400000*3*(-2)/p. Round f to the nearest one million.
1000000
Let i = 2.899979 + -2.9. Round i to 5 dps.
-0.00002
Let b = 12.43 + -0.03. Let i = 0 + 9. Let m = b - i. What is m rounded to zero dps?
3
Let c = -165179.4223681489 + -1.1774418511. Let q = c + 165179. Let v = 1.6 + q. Round v to 4 decimal places.
0.0002
Let p = 14661 - 6160. Suppose -3*v = 2*i - 152437, p = 2*v + i - 93123. Suppose -4*w - v = -2811. What is w rounded to the nearest one thousand?
-12000
Let f = 0.76 - 0.8. Let m = f - 0.54. What is m rounded to one decimal place?
-0.6
Let w = -555.99759 - -556. What is w rounded to 4 dps?
0.0024
Let q = -969999 - 260001. Round q to the nearest 1000000.
-1000000
Let k = -0.024 + 1.64. Let m = 1.83 - k. What is m rounded to two dps?
0.21
Let y = -1.1 + 0.7. Let a = -105286.6000024 + 105287. Let q = y + a. What is q rounded to 6 decimal places?
-0.000002
Let l be (-2)/6 - (-13680008)/24. What is l rounded to the nearest 100000?
600000
Let c = 0.065 - 0.116. Let a = -699802 + 699802.0510043. Let w = c + a. What is w rounded to six dps?
0.000004
Let s = -10701459.13422 - -10702277. Let d = -825.3657859 + s. Let t = d + 7.5. What is t rounded to 6 dps?
-0.000006
Let x = 41 - 33.7. What is x rounded to the nearest integer?
7
Let w = 9.0000036 + -9. Round w to six dps.
0.000004
Let c = -3 - 6. Let p be (-48)/c - 2/6. Suppose -259004 = -4*k - p*a + 48971, -k - a = -76995. What is k rounded to the nearest ten thousand?
80000
Let k = 0.10304 - 0.102. What is k rounded to 4 decimal places?
0.001
Let o = -11.19 + 0.19. Let k = -10 - o. Let c = k + 5.4. Round c to the nearest integer.
6
Let w = 34.2 + 10.8. Let z = 0.05631 + -45.28631. Let m = w + z. Round m to 1 dp.
-0.2
Let o = 186.45 + -4.45. Let l = 176.551374 + 5.449756. Let u = l - o. What is u rounded to 4 decimal places?
0.0011
Let t = -67.31 - -67. Let v = t - -0.3099896. What is v rounded to 6 dps?
-0.00001
Let v(z) = 5*z**3 + 6*z + 6. Let l = -2 + -4. Let j be v(l). What is j rounded to the nearest one hundred?
-1100
Let r be 12408008/(-24) - 2/(-6). What is r rounded to the nearest ten thousand?
-520000
Suppose 0*p + 6 = -2*p. Let n be -47 - -3*p/(-9). Round n to the nearest ten.
-50
Let g = 0.004 - 0.00399871. Round g to 7 decimal places.
0.0000013
Let i(k) = -k**3 + k**2 + k + 3590000. L
|
{
"pile_set_name": "DM Mathematics"
}
|
mmon factor of 45 and 270.
45
What is the highest common factor of 621 and 333?
9
Calculate the greatest common divisor of 32928 and 28.
28
What is the greatest common factor of 20 and 490?
10
Calculate the highest common divisor of 340 and 200.
20
Calculate the greatest common factor of 2796 and 48.
12
Calculate the greatest common divisor of 162 and 432.
54
Calculate the highest common divisor of 470 and 10.
10
Calculate the highest common factor of 518 and 84.
14
What is the highest common factor of 60 and 128?
4
Calculate the greatest common factor of 27174 and 42.
42
Calculate the greatest common divisor of 21 and 539.
7
Calculate the highest common divisor of 22 and 3971.
11
Calculate the greatest common divisor of 56 and 728.
56
Calculate the greatest common divisor of 1771 and 3157.
77
What is the highest common factor of 56 and 1316?
28
Calculate the greatest common divisor of 6013 and 7.
7
Calculate the greatest common divisor of 65 and 6305.
65
Calculate the highest common divisor of 96 and 3.
3
Calculate the highest common factor of 180 and 342.
18
Calculate the greatest common factor of 61 and 1525.
61
Calculate the highest common divisor of 8364 and 4674.
246
What is the highest common factor of 1 and 1331?
1
Calculate the greatest common divisor of 21 and 1113.
21
Calculate the highest common divisor of 93 and 13361.
31
Calculate the greatest common factor of 1323 and 27.
27
What is the greatest common divisor of 666 and 74?
74
What is the highest common factor of 12439 and 35?
7
Calculate the highest common factor of 76 and 133.
19
Calculate the highest common divisor of 7380 and 90.
90
Calculate the greatest common factor of 92 and 1633.
23
What is the greatest common divisor of 6103 and 85?
17
Calculate the highest common factor of 48 and 22548.
12
Calculate the highest common factor of 6312 and 24.
24
What is the highest common factor of 6 and 1038?
6
Calculate the greatest common factor of 50 and 450.
50
Calculate the greatest common factor of 112 and 357.
7
What is the greatest common divisor of 30 and 1134?
6
What is the highest common factor of 413 and 118?
59
Calculate the highest common factor of 66 and 18.
6
Calculate the greatest common divisor of 92 and 644.
92
Calculate the greatest common divisor of 14 and 413.
7
What is the highest common factor of 5614 and 14?
14
Calculate the highest common divisor of 4 and 5.
1
What is the highest common factor of 68 and 16?
4
What is the highest common divisor of 6398 and 14?
14
What is the greatest common factor of 10 and 115?
5
Calculate the highest common divisor of 5596 and 4.
4
What is the greatest common divisor of 44 and 148?
4
What is the highest common factor of 136 and 68?
68
Calculate the greatest common divisor of 56 and 126.
14
What is the highest common factor of 16 and 256?
16
Calculate the highest common factor of 341 and 31.
31
What is the highest common factor of 45 and 1305?
45
What is the greatest common divisor of 6956 and 148?
148
What is the highest common divisor of 37 and 629?
37
Calculate the greatest common factor of 152 and 114.
38
Calculate the greatest common factor of 66 and 11286.
66
Calculate the greatest common factor of 42 and 273.
21
What is the highest common factor of 2277 and 99?
99
Calculate the highest common divisor of 2770 and 277.
277
Calculate the highest common factor of 62 and 682.
62
What is the highest common factor of 6 and 873?
3
Calculate the highest common divisor of 35 and 133.
7
What is the greatest common divisor of 31 and 403?
31
Calculate the greatest common divisor of 825 and 225.
75
What is the highest common factor of 402 and 48?
6
What is the highest common divisor of 55 and 209?
11
What is the highest common divisor of 1424 and 16?
16
Calculate the greatest common divisor of 11 and 44.
11
Calculate the greatest common factor of 1116 and 36.
36
What is the highest common factor of 228 and 4047?
57
Calculate the greatest common factor of 530 and 50.
10
Calculate the greatest common factor of 21420 and 126.
126
What is the greatest common factor of 80 and 368?
16
Calculate the highest common factor of 250 and 870.
10
What is the highest common divisor of 765 and 102?
51
What is the greatest common divisor of 12 and 9?
3
Calculate the greatest common divisor of 516 and 48.
12
Calculate the highest common factor of 4 and 113.
1
What is the highest common factor of 17 and 136?
17
Calculate the greatest common divisor of 6785 and 2655.
295
What is the greatest common factor of 141 and 11327?
47
What is the greatest common divisor of 1220 and 10?
10
What is the highest common divisor of 8 and 146?
2
What is the highest common divisor of 6828 and 12?
12
Calculate the highest common divisor of 3042 and 18.
18
Calculate the highest common factor of 200 and 1856.
8
What is the highest common divisor of 6 and 24?
6
Calculate the greatest common factor of 2640 and 560.
80
Calculate the greatest common factor of 26 and 78.
26
Calculate the highest common factor of 16 and 464.
16
Calculate the highest common divisor of 874 and 76.
38
Calculate the highest common divisor of 1764 and 49.
49
What is the highest common divisor of 3 and 15?
3
Calculate the greatest common factor of 1368 and 4959.
171
Calculate the highest common divisor of 3536 and 1122.
34
Calculate the highest common divisor of 100 and 2450.
50
What is the highest common divisor of 408 and 24?
24
What is the highest common divisor of 12 and 3?
3
What is the highest common factor of 252 and 238?
14
What is the greatest common divisor of 551 and 522?
29
Calculate the greatest common divisor of 152 and 14744.
152
Calculate the highest common divisor of 30 and 1010.
10
What is the highest common divisor of 646 and 68?
34
Calculate the highest common factor of 54 and 42.
6
Calculate the greatest common factor of 143 and 847.
11
What is the highest common factor of 77 and 11?
11
Calculate the greatest common divisor of 6 and 6.
6
Calculate the greatest common factor of 61 and 2989.
61
What is the highest common divisor of 80 and 100?
20
Calculate the greatest common divisor of 166 and 1826.
166
Calculate the greatest common divisor of 16 and 256.
16
Calculate the greatest common factor of 79840 and 10.
10
Calculate the highest common factor of 39 and 65.
13
Calculate the greatest common factor of 24 and 108.
12
What is the highest common divisor of 5412 and 594?
66
Calculate the highest common factor of 442 and 52.
26
What is the highest common divisor of 255 and 60?
15
What is the greatest common factor of 210 and 84?
42
Calculate the highest common factor of 13320 and 54.
18
Calculate the highest common divisor of 1140 and 1425.
285
Calculate the greatest common factor of 10 and 265.
5
Calculate the greatest common divisor of 129 and 12.
3
Calculate the greatest common factor of 513 and 19.
19
What is the highest common factor of 124 and 4?
4
What is the highest common divisor of 28 and 8?
4
Calculate the highest common divisor of 851 and 23.
23
What is the greatest common factor of 648 and 64?
8
Calculate the highest common divisor of 79 and 711.
79
What is the highest common divisor of 72 and 2358?
18
What is the highest common factor of 255 and 120?
15
What is the highest common divisor of 44 and 132?
44
Calculate the greatest common divisor of 90 and 17280.
90
Calculate the highest common divisor of 2646 and 432.
54
What is the highest common divisor of 552 and 24?
24
Calculate the highest common factor of 36 and 24.
12
What is the greatest common factor of 2 and 162?
2
What is the greatest common divisor of 15 and 1245?
15
Calculate the highest common factor of 252 and 612.
36
Calculate the highest common divisor of 204 and 108.
12
What is the greatest common factor of 11 and 539?
11
Calculate the highest common divisor of 290 and 232.
58
What is the greatest common factor of 1458 and 1350?
54
What is the greatest common divisor of 66 and 942?
6
What is the highest common factor of 18 and 144?
18
Calculate the highest common factor of 39 and 611.
13
Calculate the highest common factor of 4890 and 240.
30
What is the greatest common factor of 210 and 300?
30
Calculate the highest common factor of 1812 and 36.
12
What is the highest common factor of 23 and 4?
1
|
{
"pile_set_name": "DM Mathematics"
}
|
13224 is divided by 105.
99
Calculate the remainder when 2058077 is divided by 38.
35
Calculate the remainder when 45662 is divided by 15210.
32
What is the remainder when 70976 is divided by 17743?
4
What is the remainder when 10172 is divided by 1665?
182
Calculate the remainder when 12625 is divided by 96.
49
Calculate the remainder when 961 is divided by 892.
69
Calculate the remainder when 11508 is divided by 32.
20
What is the remainder when 33390 is divided by 11101?
87
Calculate the remainder when 185594 is divided by 369.
356
Calculate the remainder when 4124 is divided by 1323.
155
What is the remainder when 1118 is divided by 527?
64
What is the remainder when 1054845 is divided by 71?
69
What is the remainder when 642314 is divided by 642314?
0
What is the remainder when 6959 is divided by 703?
632
Calculate the remainder when 50289 is divided by 3.
0
What is the remainder when 253567 is divided by 43?
39
What is the remainder when 18939 is divided by 758?
747
What is the remainder when 523 is divided by 31?
27
Calculate the remainder when 51000 is divided by 517.
334
Calculate the remainder when 20216 is divided by 2888.
0
What is the remainder when 1895 is divided by 117?
23
What is the remainder when 33946 is divided by 78?
16
What is the remainder when 15024 is divided by 85?
64
Calculate the remainder when 164861 is divided by 43.
42
What is the remainder when 304930 is divided by 924?
10
Calculate the remainder when 474322 is divided by 58.
56
What is the remainder when 5214 is divided by 888?
774
What is the remainder when 950 is divided by 139?
116
Calculate the remainder when 10516 is divided by 19.
9
What is the remainder when 94153 is divided by 160?
73
Calculate the remainder when 32046 is divided by 9.
6
What is the remainder when 5976 is divided by 165?
36
Calculate the remainder when 419268 is divided by 20963.
8
Calculate the remainder when 528148 is divided by 107.
103
What is the remainder when 33179 is divided by 1442?
13
Calculate the remainder when 28883 is divided by 9627.
2
What is the remainder when 6320815 is divided by 1830?
1825
What is the remainder when 56961 is divided by 166?
23
What is the remainder when 4167 is divided by 250?
167
What is the remainder when 13416 is divided by 4468?
12
What is the remainder when 160405 is divided by 27?
25
Calculate the remainder when 16786 is divided by 193.
188
What is the remainder when 409187 is divided by 23?
17
Calculate the remainder when 135230 is divided by 805.
795
Calculate the remainder when 28478 is divided by 185.
173
Calculate the remainder when 301336 is divided by 284.
12
Calculate the remainder when 221658 is divided by 73886.
0
Calculate the remainder when 1373509 is divided by 85.
79
Calculate the remainder when 180035 is divided by 54.
53
Calculate the remainder when 561732 is divided by 285.
282
What is the remainder when 29517 is divided by 222?
213
Calculate the remainder when 3041 is divided by 835.
536
Calculate the remainder when 12820 is divided by 3203.
8
Calculate the remainder when 12441 is divided by 3039.
285
Calculate the remainder when 283618 is divided by 389.
37
What is the remainder when 673763 is divided by 1110?
1103
What is the remainder when 7265 is divided by 40?
25
What is the remainder when 3315 is divided by 44?
15
What is the remainder when 5183 is divided by 1271?
99
Calculate the remainder when 16472920 is divided by 71.
68
What is the remainder when 335314 is divided by 42?
28
Calculate the remainder when 9040 is divided by 4502.
36
Calculate the remainder when 2285 is divided by 123.
71
Calculate the remainder when 4417 is divided by 1029.
301
What is the remainder when 7439 is divided by 26?
3
Calculate the remainder when 268120 is divided by 11.
6
What is the remainder when 17135 is divided by 82?
79
Calculate the remainder when 22648 is divided by 15.
13
What is the remainder when 471538 is divided by 3865?
8
What is the remainder when 3137 is divided by 448?
1
Calculate the remainder when 30425 is divided by 7.
3
Calculate the remainder when 158176 is divided by 110.
106
What is the remainder when 14855 is divided by 453?
359
Calculate the remainder when 2620 is divided by 829.
133
Calculate the remainder when 71907 is divided by 82.
75
Calculate the remainder when 69490 is divided by 717.
658
Calculate the remainder when 6865 is divided by 101.
98
Calculate the remainder when 1314 is divided by 261.
9
What is the remainder when 89586 is divided by 12?
6
What is the remainder when 7350282 is divided by 251?
249
What is the remainder when 3078 is divided by 446?
402
What is the remainder when 7430 is divided by 11?
5
What is the remainder when 43379 is divided by 21?
14
What is the remainder when 13146 is divided by 13128?
18
What is the remainder when 245317 is divided by 81769?
10
What is the remainder when 449672 is divided by 343?
342
What is the remainder when 1587787 is divided by 529262?
1
What is the remainder when 238677 is divided by 30?
27
What is the remainder when 118486 is divided by 93?
4
What is the remainder when 134181 is divided by 24?
21
What is the remainder when 936 is divided by 184?
16
What is the remainder when 754109 is divided by 810?
809
Calculate the remainder when 19316 is divided by 276.
272
Calculate the remainder when 101363 is divided by 539.
31
Calculate the remainder when 896309 is divided by 678.
671
What is the remainder when 485409 is divided by 21?
15
What is the remainder when 18752 is divided by 42?
20
Calculate the remainder when 189146 is divided by 7880.
26
Calculate the remainder when 56294 is divided by 7034.
22
What is the remainder when 14607 is divided by 54?
27
What is the remainder when 209561 is divided by 19051?
0
What is the remainder when 27181 is divided by 23?
18
What is the remainder when 151533 is divided by 308?
305
Calculate the remainder when 3151069 is divided by 1888.
1885
Calculate the remainder when 9734 is divided by 748.
10
What is the remainder when 1336 is divided by 124?
96
Calculate the remainder when 100237 is divided by 340.
277
What is the remainder when 12914 is divided by 4276?
86
Calculate the remainder when 12456 is divided by 377.
15
What is the remainder when 2378950 is divided by 888?
886
What is the remainder when 141555 is divided by 2399?
14
What is the remainder when 83514 is divided by 337?
275
Calculate the remainder when 49750 is divided by 298.
282
Calculate the remainder when 13177 is divided by 412.
405
What is the remainder when 15013 is divided by 1000?
13
What is the remainder when 1349 is divided by 224?
5
Calculate the remainder when 72533 is divided by 280.
13
Calculate the remainder when 8037 is divided by 3922.
193
Calculate the remainder when 11483 is divided by 20.
3
What is the remainder when 13959 is divided by 6219?
1521
What is the remainder when 4485 is divided by 196?
173
Calculate the remainder when 353979 is divided by 42.
3
What is the remainder when 15926 is divided by 2652?
14
Calculate the remainder when 10828 is divided by 19.
17
Calculate the remainder when 21368 is divided by 51.
50
What is the remainder when 4683 is divided by 9?
3
What is the remainder when 65253 is divided by 12?
9
What is the remainder when 1785237 is divided by 238?
237
Calculate the remainder when 11382 is divided by 136.
94
What is the remainder when 50829 is divided by 196?
65
Calculate the remainder when 98654 is divided by 98652.
2
What is the remainder when 3930 is divided by 95?
35
What is the remainder when 16061 is divided by 1337?
17
What is the remainder when 75556 is divided by 37723?
110
Calculate the remainder when 12963 is divided by 627.
423
Calculate the remainder when 65276 is divided by 18.
8
What is the remainder when 9884 is divided by 309?
305
Calculate the remainder when 27494 is divided by 44.
38
Calculate the remainder when 1500883 is divided by 443.
442
Calculate the remainder when 3167 is divided by 19.
13
What is the remainder when 787 is divided by 327?
133
What is the remainder when 93615 is divided by 3343?
11
What is the remainder when 513120 is divided by 256554?
12
What is the remainder when 289336 is divided by 124?
44
Calculate the remainder when 269904 is divided by 7102.
28
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
120220120211?
120220200022
In base 4, what is 1 + 2010123311?
2010123312
In base 7, what is -46451422 + 44?
-46451345
In base 5, what is -14233421 + 2031?
-14231340
In base 8, what is 6 - 12717?
-12711
In base 9, what is -55 + 145531?
145465
In base 5, what is -11042414 + -24411?
-11122330
In base 12, what is -2890b28b8 - 1?
-2890b28b9
In base 5, what is -412333322 + -2144?
-412341021
In base 16, what is -1 - -1ce411?
1ce410
In base 3, what is -2002121210010 + -200?
-2002121210210
In base 5, what is -14 - 423310000?
-423310014
In base 10, what is 440875 - -250?
441125
In base 6, what is 0 + 5133314?
5133314
In base 10, what is 98763 + -546?
98217
In base 8, what is -62417 + 2546?
-57651
In base 13, what is -69cb96 - -c7?
-69ca9c
In base 7, what is -25 + 30224254?
30224226
In base 7, what is -4 - -1631366541?
1631366534
In base 4, what is 11221231222 + -13?
11221231203
In base 9, what is -10616 - -28224?
17507
In base 7, what is -2 - -30612011?
30612006
In base 14, what is -4 + -162390?
-162394
In base 13, what is 1424 - -280b?
3c32
In base 10, what is -158024 + -1958?
-159982
In base 12, what is -332a1a34 - -4?
-332a1a30
In base 16, what is 2b0450 + -5?
2b044b
In base 11, what is 3 + 3424a91?
3424a94
In base 16, what is 4d - 67eda1?
-67ed54
In base 12, what is 14b2 + 4b1a5?
50697
In base 7, what is 203 + -1122354?
-1122151
In base 8, what is -40051 + -20?
-40071
In base 12, what is -27718 - 247?
-27963
In base 12, what is 24a6 - -144b4?
1699a
In base 9, what is 2568 + 21823?
24502
In base 14, what is 107cd - -3bb?
10baa
In base 16, what is -239d50 + 2?
-239d4e
In base 13, what is -3 - -1a533a?
1a5337
In base 10, what is -1787790 + 4?
-1787786
In base 12, what is -135854793 + -2?
-135854795
In base 16, what is 5818559 - a?
581854f
In base 2, what is -11111100110000000 + 1111101011?
-11111010110010101
In base 14, what is 1a - 102077?
-10205b
In base 2, what is -100010 + -1000001101000011111?
-1000001101001000001
In base 14, what is 1771db + -3d0?
176c0b
In base 10, what is -3 + 4387677?
4387674
In base 11, what is -1068a - -35?
-10655
In base 15, what is -243bee + 4?
-243bea
In base 14, what is -2 + -34dbc9?
-34dbcb
In base 7, what is -2 + -214306243?
-214306245
In base 7, what is -10256552633 - 4?
-10256552640
In base 2, what is 1 - 1111111110111000111110?
-1111111110111000111101
In base 15, what is -1499 - 1668?
-2b12
In base 7, what is -31452036 - 33?
-31452102
In base 7, what is -3 + 552344104?
552344101
In base 13, what is 1b - -6a488c7?
6a48915
In base 4, what is -12320102112311 + -3?
-12320102112320
In base 2, what is 10 - 100101010101101011001?
-100101010101101010111
In base 10, what is -1174415 - 4?
-1174419
In base 14, what is -5 + -1b8acba?
-1b8acc1
In base 12, what is 35 - 7391a?
-738a5
In base 15, what is -18094a - 1a7?
-180b02
In base 6, what is 31444323 + 12?
31444335
In base 15, what is 6 - 5a95?
-5a8e
In base 12, what is -bbab9966 - 2?
-bbab9968
In base 5, what is -3101 - -12431114?
12423013
In base 6, what is -2 + -352130341?
-352130343
In base 2, what is 10101010011100110011101011 + -11?
10101010011100110011101000
In base 2, what is 10100111001 + 1001001101?
11110000110
In base 10, what is 8548621 + -2?
8548619
In base 2, what is -100 - 10110111010111001110?
-10110111010111010010
In base 12, what is 62 - 37251?
-371ab
In base 3, what is 1 + 10000120212201002?
10000120212201010
In base 7, what is 246043 - 1150?
244563
In base 7, what is -613 - 12166003?
-12166616
In base 2, what is 11100001 + 11001100101011?
11010000001100
In base 3, what is -110121121122 + 2010101?
-110112111021
In base 16, what is -2f3 - 1c72?
-1f65
In base 14, what is 2db8a5 - -100?
2db9a5
In base 8, what is -1315 + -2176?
-3513
In base 14, what is 1 + 528697?
528698
In base 9, what is -27440 + 778?
-26551
In base 2, what is -100000000 + 10010110011110010?
10010101111110010
In base 2, what is -1101100101000 - -10010110000010?
101001011010
In base 8, what is -2367 + 162433?
160044
In base 6, what is 341421500 + 0?
341421500
In base 16, what is 6 - 6988d4?
-6988ce
In base 16, what is 4c65 + -a52?
4213
In base 5, what is -222 + 1240212231?
1240212004
In base 15, what is 15eb0 + 736?
166e6
In base 3, what is -200 - -1221222100021?
1221222022121
In base 13, what is c - -391a78?
391a87
In base 2, what is -1111101100110 - 100000000010010011?
-100001111111111001
In base 6, what is -31203504042 + 3?
-31203504035
In base 15, what is 153e4 - -43?
15437
In base 11, what is 1 + 21062203?
21062204
In base 14, what is -4222c5 - -7?
-4222bc
In base 3, what is -1020112020110100 - 120?
-1020112020110220
In base 16, what is -9 + -20c33b?
-20c344
In base 12, what is -1ba7 - 1188a?
-13875
In base 14, what is -1490c48 + -2?
-1490c4a
In base 10, what is -497974 - 4?
-497978
In base 6, what is 35451 + -114030?
-34135
In base 7, what is 14103 - -15?
14121
In base 12, what is -77 + -42960?
-42a17
In base 2, what is 1000100111110011110 - 101010?
1000100111101110100
In base 9, what is 415 + 347883?
348408
In base 11, what is -6a9912a - -3?
-6a99127
In base 10, what is -850249 + 114?
-850135
In base 15, what is 13 + -1815d9?
-1815c6
In base 8, what is 3 + -14764077?
-14764074
In base 6, what is -13040452 - -22?
-13040430
In base 10, what is -13213 - -1352?
-11861
In base 8, what is -6643 + -5635?
-14500
In base 16, what is 5 - -43bc09?
43bc0e
In base 8, what is 317 + -240170?
-237651
In base 12, what is -5 - 390491b?
-3904924
In base 15, what is 76da763 + 0?
76da763
In base 2, what is 100101011101111010 - 1011110?
100101011100011100
In base 2, what is 1110110111110 + 1001111000100011?
1011101111100001
In base 3, what is 10000111212020 + 221?
10000111220011
In base 13, what is 3 + -17b77b3?
-17b77b0
In base 15, what is 1a2dc + 20a9?
1c396
In base 3, what is -21010121222012122 + -10?
-21010121222012202
In base 11, what is -1906 - 4972?
-6778
In base 5, what is -310002 - 400?
-310402
In base 16, what is -d78 + 3fde?
3266
In base 11, what is 13747 - -69?
13805
In base 4, what is 100 - 2121103311032?
-2121103310332
In base 10, what is 997385 - 24?
997361
In base 10, what is -2915496 - 5?
-2915501
In base 14, what is -a5192c6 + -3?
-a5192c9
In base 11, what is 404 + 1048579?
1048982
In base 8, what is -1357 - 41740?
-43317
In base 10, what is 44256 + 486?
44742
In base 4, what is 3222001310 + -3023?
3221332221
In base 15, what is -6e + -395182?
-395201
In base 15, what is -1dd + 1d5d3?
1d3e5
In base 7, what is 1 - -40205012?
40205013
In base 14, what is 1386 - -18b63?
1a109
In base 9, what is 1411636 - 48?
1411577
In base 15, what is -607 - 18a1?
-1ea8
In base 12, what is -435 + -11721?
-11b56
In base 6, what is -42400001 + 33?
-42355524
In base 5, what is 1311203 - 233103?
1023100
In base 9, what is -4135 + -2345?
-6481
In base 15, what is -1b5 + 7790a?
77745
In base 13, what is 4 - 4b596a4?
-4b596a0
In base 8, what is -5056675 - -1?
-5056674
In base 15, what is b01cbb0 + 0?
b01cbb0
In base 3, what is 101012 - -21122121011?
21122222100
In base 15, what is 0 + 2c1340?
2c1340
In base 2, what is -10111100011 - 11010100111?
-110010001010
In base 16, what is 6837 - -afd?
7334
In base 12, what is 11535 - -51?
11586
In base 8, what is 364576 - 77?
364477
In base 10, what is -12 - -30708975?
30708963
In base 8, what is -3041715 + 1?
-3041714
In base 2, what is -10110100001111100 - 1101001001110?
-11000001011001010
In base 3, what is 10012222 + -2201102102?
-2121012110
In base 8, what is 2105730 + -20?
2105710
In base 2, what is -1011100000011001110101 - -11?
-1011100000011001110010
In base 10, what is 2 + -7905491?
-7905489
In base 10, what is 230612 - -319?
230931
In base 2, what is -10100000001100101 - -11100011?
-10011111110000010
In base 12, what is -9a31399 + -4?
-9a313a1
In base 2, what is 100010100110001011111100110 - -1000?
100010100110001011111101110
In base 7, what is -2600023 - -233?
-2566460
In base 4, what is 103 + -2330233132?
-2330233023
In base 12, what is 25a27a - 27?
25a253
In base 9, what is -843035 - 28?
-843064
In base 7, what is 5114311 + -441?
5113540
In base 6, what is -2 + 5302525201?
5302525155
In base 16, what is -18 + 15f632?
15f61a
In base 12, what is 404b031 - 1?
404b030
In base 12, what is -23bb8b7 + 0?
-23bb8b7
In base 12, what is 4972366 + 4?
497236a
In base 2,
|
{
"pile_set_name": "DM Mathematics"
}
|
c
Let x be ((-6)/(-10))/((28/(-35))/4). Let q be 2/(-4) - (-1)/(-2). Let y = 134 - 131. Which is the nearest to q? (a) y (b) x (c) -0.05
c
Let g be 2/9 - -1*0/23. Let j = 73.4 + -73. Which is the nearest to 0.1? (a) g (b) 1 (c) -1/4 (d) j
a
Suppose -5*h - 156 = -3*h - s, -4*s = -h - 92. Let q = h + 382/5. Let n be -4*((-225)/110 + 2). Which is the nearest to 53? (a) q (b) n (c) -3
a
Suppose 5*l - 135*i = -137*i + 12, -4*l = 5*i - 13. Let u = 54 + -53.95. Which is the closest to l? (a) u (b) -2 (c) -1 (d) -0.05
a
Let z = -278/7 - -549/14. What is the closest to -1/4 in z, -1/4, 26, -2/23?
-1/4
Let k = 597241 - 597242. Let o = -0.2 + 0.4. What is the nearest to -4 in 0, -1/6, k, o?
k
Let h = 46 + 36. Let b = h - 87. Let x = b + 4.9. What is the closest to x in 2/5, -0.2, 7?
-0.2
Suppose -2*i + j - 82 = 2*j, 0 = -5*i + 5*j - 175. Let n be i*4/(-72) + (-3)/2. Let m = 1 + -0.8. Which is the nearest to n? (a) 19 (b) 4 (c) m
c
Let v be (-6)/(-2) - (0 - -9 - 56/8). Which is the closest to 0? (a) v (b) -1/2002 (c) 0.3
b
Let i = 113 - 111.12. Let y = i - 1.68. What is the nearest to 0.2 in y, 4, -5?
y
Let m = 0.85 + -1.39. What is the closest to 0 in 0.4, m, 3, -3/7?
0.4
Let v = -2 - -2. Let d be 656/1107*27/36. Which is the closest to d? (a) 3 (b) -2/7 (c) v
c
Suppose -4*p + 4*y - 12 = 0, 4*p + 140*y - 145*y + 11 = 0. What is the nearest to 0.1 in -1, 2, -2/3, p?
-2/3
Let u = -0.2 - -0.3. Let z = 21716.3 + -21716. Which is the nearest to u? (a) z (b) 1/11 (c) -0.2
b
Let r = 0.734 + -0.334. Let u = 4.4 - r. Which is the closest to 1/2? (a) -4 (b) 0.5 (c) u
b
Let v = -579 + 578.97. Let i = 44 + -43.8. Let y be 2/3 + 10/(-6). Which is the nearest to 2/7? (a) i (b) v (c) y
a
Let h = -344.2 - -368. Let p = 23.8 - h. Which is the closest to -1.2? (a) -5/3 (b) 4 (c) p
a
Suppose 0 = -2*x + 12 - 4, 2*x = -3*o + 278. Let z = -85 + o. Let r be (z/(-3) - 0)*16/40. Which is the closest to r? (a) -1 (b) -4 (c) 6
a
Let l = 65.3 + -1.3. Let w = l + -64.2. Let p = 0.3 - w. Which is the nearest to 0.1? (a) -7 (b) 0.2 (c) p
b
Let m be 2721/270 - (33 - 23). What is the closest to -0.1 in m, -1/2, -3?
m
Let g be ((-78)/65)/(3/20). Let s be 2/(-1) + (g - (-12 - -7)). Let n = -0.09 - -0.04. Which is the closest to n? (a) -2/3 (b) s (c) 0
c
Let i = 0.21 - 1.31. Let y = -20545/3 + 6849. Which is the closest to y? (a) i (b) -1/5 (c) -2/23
c
Let y = -0.05717 + 1.05717. Which is the closest to y? (a) 0.2 (b) 2/13 (c) -5 (d) -2
a
Let g = -7.1605 - 4.8395. Let m(t) = -t - 5. Let p be m(-4). Let f be 1/(-3)*2/p. Which is the closest to f? (a) g (b) 4 (c) -3
b
Suppose -15*z - 6 = -16*z + h, -22 = 3*z + 5*h. Which is the nearest to z? (a) -5 (b) -0.6 (c) 6/13
c
Let k = -161.4 - -161.4. Which is the closest to 0.27? (a) -0.3 (b) k (c) 0.3 (d) 8/3
c
Let a = -16.54 + 18.54. What is the nearest to -1/2 in 6, a, 1, 0.2?
0.2
Let i = -335.2 + 335.4. What is the closest to i in 0, 0.3, 5, -0.4?
0.3
Let n = 3.4 + -3.38. Let a = n + -9.02. Suppose -5*z = 2*v + v - 11, 4*z - 5*v = -6. What is the closest to 0 in z, a, -0.2?
-0.2
Let f(h) = h. Let p(m) = m**2 - 4*m + 3. Let w(d) = 2*f(d) - p(d). Let u be w(4). Suppose u*z + 24 - 9 = 0. Which is the closest to z? (a) 0 (b) 0.4 (c) 4/7
a
Let h = 0.02 + -0.22. Let o be (-340)/80 - (-5)/2 - -2. Which is the nearest to h? (a) 2/5 (b) -3.5 (c) 2/9 (d) o
c
Let a = 347389/87 + -3993. What is the closest to a in 6/5, -1, 5/4, 2?
-1
Let b = 3018 - 3018.2. What is the closest to b in 12, 5, -5?
-5
Let f be 1*(2 + 9/(-5)). Let g = 725.959 - 5.559. Let r = -720 + g. What is the nearest to 0.1 in r, f, 2?
f
Let t = 3810.5 + -3811. Which is the closest to 3/20? (a) 5 (b) 0.5 (c) t (d) -25
b
Let v = 11/2 + -6. Let p be (9/4)/9 - 11/(-4). Let r = -18 - -18.1. Which is the nearest to p? (a) r (b) v (c) -0.4
a
Let c = 303.2 + -303. What is the nearest to 0 in -2/23, 4/3, c, -3?
-2/23
Let m = 1128.8 + -1124.8. What is the closest to -0.1 in m, 51, 2, -1/7?
-1/7
Let w be 1*3/(-2)*(-178 - -180). Let c = 30.9 + -33. Let j = c - -2. What is the nearest to j in -1, 0.1, w?
0.1
Let v = 143 - -70. Let q = -212 + v. Let h = -31/115 - 3/23. Which is the closest to -0.02? (a) q (b) 0.3 (c) h
b
Let x = -6.5 - 2.3. Let z = x + -2.2. Let r = 0.293 - 5.293. What is the nearest to -2/7 in r, z, 3/2?
3/2
Let i = 31.68 + -31.78. Let m = 2/93 - 11/31. Which is the nearest to -4/5? (a) -12 (b) i (c) m
c
Let j = 309 + -341. Suppose 28*v + 20 = 18*v. Which is the closest to 0? (a) j (b) 4 (c) v (d) 4/3
d
Let t = 3983 - 3980.9. Which is the nearest to -4/3? (a) 0.5 (b) 2/5 (c) t
b
Let p = 4.9 + -2.7. Let a = p - 2.6. Suppose 206*n = 196*n + 30. What is the nearest to -2/7 in -1/2, a, n?
a
Let y be 3/1 - (-4 - (-7 - (8 - 9))). What is the nearest to 0.7 in y, -3.9, -5, -0.4?
y
Let g = -150947.941 - -150851. Let p = 97 + g. Let r = 0.059 - p. Which is the nearest to 1/3? (a) 2 (b) r (c) 0.01
c
Let z = -4418 + 17673/4. What is the nearest to z in 3, 2/17, -3, -4/7?
2/17
Suppose -4 = -s + 5*s. Let o be 12/84*(-105)/(-45). Which is the nearest to o? (a) -1/2 (b) -0.06 (c) s
b
Let k be (-1015)/1624 - (-35)/(-8). What is the nearest to 3 in 0.2, -1, -4, k?
0.2
Let r = -31/2 - -15. Let x be (-4 + 3)/(20/12). Let s = 1.163 - 5.163. Which is the nearest to r? (a) x (b) -1 (c) s
a
Let p be (-15)/2*(-42)/(-35). Let n be -10*(-4)/504 + 2/p. Which is the closest to 0.1? (a) 5 (b) n (c) -4
b
Let m(k) = 2553*k + 7668. Let x be m(-3). Which is the nearest to 2/11? (a) -5 (b) x (c) -1/9 (d) 3
c
Let h = 0.348 + -3.58. Let t = 0.232 + h. Let k = 0.07 - 4.07. What is the closest to t in 4, k, 1?
k
Let k(y) = y**3 + 4*y**2 + 4*y + 1. Let l be k(-2). Suppose -12*f - 41*f = -2*f. What is the nearest to f in -0.3, -8, l?
-0.3
Suppose -14 = -2*u + 12. Let b = -24.06 - 2.94. Let d = b - -29. What is the closest to -2/7 in 0.2, u, d?
0.2
Let n = 1043 - 1042.7. Let w = -318 - -318.03. Let o = -0.1 - 0. Which is the closest to n? (a) o (b) 0.4 (c) w
b
Let x = -2788 + 2789. Let i = 4 - 11. Let r(p) = -2*p**3 + 4*p**2 + 2*p - 2. Let u be r(2). Which is the closest to x? (a) i (b) u (c) -5
b
Let r be (6/4 - (-2)/20)*(-35)/(-14). Let w be ((-5)/(-4) - -1) + 0 - -2. What is the nearest to w in 3/5, -0.3, r?
r
Let n = -48216 + 48216.3. Let j = 0.6 - 0.1. Let w = j + 4.5. Which is the closest to w? (a) -3 (b) -0.1 (c) n
c
Let x = 52 + -40. Let j be (x/(-18))/(2/89). Let z = 29 + j. Which is the closest to -1/5? (a) z (b) 2/3 (c) -1/3
c
Let z = 531.8968 - -0.1032. Let l = 535 - z. Which is the closest to 2/5? (a) l (b) -1/3 (c) 1
c
Let s = 1779.1 - 1779. Which is the nearest to 0? (a) -2/7 (b) -29 (c) s
c
Let q be 6/135 + 12/180. Which is the nearest to q? (a) -6 (b) -22 (c) -0.1
c
Let p = 167.9 - 167.4. What is the nearest to 0 in -1, -9/8, p, 2/5?
2/5
Let w = -529/6 + 88. Let x = -0.288 + 17.288. What is the closest to -2 in w, -1, x?
-1
Let q = 3491 - 3488. Let x = -14 + 10. What is the nearest to 2 in x, q, 0.1?
q
Let r be (-5)/(-65) + (-69)/(-117). Let n = -72.3 - -72. What is the closest to n in r, -1/5, -0.5?
-1/5
Let y = -0.9431 - -1.0431. Let d = 4.9 + 0.1. What is the nearest to y in d, 8/35, -2?
8/35
Let v be 4/6*(-9)/(-2). Let n(p) = p**2 - 7*p + 11. Let x be n(-6). Let m = x - 621/7. Which is the nearest to 2/5? (a) v (b) 0 (c) m
c
Let b = -1298 + 886. Let y = 412.3 + b. Let v(a) = a**3 - 4*a**2 + 3*a - 1. Let j be v(2). What is the nearest to 2/3 in y, j, -1/4?
y
Let s = 282.8 + -281.42. Let v = 1.259 + 0.021. Let j = v - s. What is the nearest to -1 in 1/7, 0, j?
j
Suppose -3*r = -u - 12, 0*u - r + 4 = -u. Let k(y) = 14*y**3 - 1. Let p be k(-1). Let b(v) = -6*v - 87. Let o be b(p). What is the closest to u in -3/5, 5, o?
-3/5
Let i = 36363 + -36363. Which is the nearest to i? (a) 1/2 (b) 1/3 (c) -75
b
Let j = -287.6 + 390. Let g = 102 - j. Let n = -1.4 + 3.4. Which is the nearest to 2/3? (a) n (b) -3 (c) g
c
Let p = -156 + 142. Let h be 6/4*(0 - p/21). Let s = 0.3 + -2.3. What is the nearest to h in s, -1/2, -6?
-1/2
Let v be -35 + 29 - (-294)/35. What is the closest to -2 in v, -5, -0.5, -4?
-0.5
Let g = 677 - 682. Let l be 8/(-12) + (g - -5)/(-4). Which is the nearest to
|
{
"pile_set_name": "DM Mathematics"
}
|
6827 = 2*k. List the prime factors of k.
5, 7, 11
Let g(k) = 2*k**3 - 6*k**2 + 5*k - 5. Let f be g(4). Let t(a) = -3*a - f + 19*a + 13*a + 48. List the prime factors of t(2).
59
Let t(x) = x**3 - 12*x**2 - 70*x - 152. List the prime factors of t(21).
2347
Let w(j) = -j**3 + 11*j**2 + 2*j - 15. Let d be w(-7). Let g = 1199 - d. Suppose 0 = 6*c - 218 - g. What are the prime factors of c?
2, 47
Let n(i) = 4*i**2 - 5*i**2 - 16*i - 16*i + 6 + 771 - i. List the prime factors of n(0).
3, 7, 37
Let p = 14175 + -2331. What are the prime factors of p?
2, 3, 7, 47
Let s(m) = -m**3 + 3*m**2. Let w be s(4). List the prime factors of (20/w - (-6)/24)*-857.
857
Let w be (-7398)/8 + (-2)/8. Let f = w + 1531. List the prime factors of f.
2, 3, 101
Let k(h) be the first derivative of 13*h**2/2 + 203*h - 104. List the prime factors of k(39).
2, 5, 71
Suppose 114 = 12*c - 42. Suppose -4*f - 756 = c*x - 15*x, 0 = 3*x - f - 1124. What are the prime factors of x?
2, 11, 17
Suppose 4*b - 5*b - j = 551, -3*b = 2*j + 1653. Let x = -369 - b. Suppose -x - 86 = -4*t. List the prime factors of t.
67
Let q(f) = f**3 - 7*f**2 - 6*f + 12. Let z be q(7). Let w be 6/(-12) + 0 + z/(-4). List the prime factors of 1111/w - 4/(-14).
3, 53
Let j(k) = -44*k - 50. Let y be j(-2). Let c = 1 + y. List the prime factors of c.
3, 13
Let i be (0 + -2)*(-6)/(-12)*-2. Suppose 33 - 733 = -3*h - g, -2*h - i*g = -472. What are the prime factors of h?
2, 29
Suppose 35 = 5*v - 4*o, v - 16 = 5*o + 12. Suppose v*h - 345 = 2*f + 133, -4*h = -5*f - 642. What are the prime factors of h?
2, 79
Let h(r) = 3*r + 59. Let d be h(-14). Suppose d*n - 4672 = -1289. What are the prime factors of n?
199
Let m be 54/4*(7 - (-358)/6). Suppose -m = -9*z + 7*z. List the prime factors of z.
2, 3, 5
What are the prime factors of (-4)/(-48) - (-1228066)/36*54/252?
2, 5, 17, 43
Let r = 4045 + -2370. Let k = -50 + r. What are the prime factors of k?
5, 13
Let f = 98 - 95. Let l(j) = -6*j**2 - 5*j**2 - 3*j**3 - 13 + 3*j**2 + f*j**2. What are the prime factors of l(-4)?
3, 11
Let t(h) = -h**3 + 8*h**2 - 12*h + 3. Let m be t(6). Let s be 4/m*((-36)/8)/(-3). Suppose a = s*a - 29. List the prime factors of a.
29
Suppose 5*t = 5, t = 5*l - 30 - 29. Suppose -8*w - 2784 = -l*w. Suppose 5*p - 4*g = -2*g + 867, -4*p + 4*g = -w. What are the prime factors of p?
173
List the prime factors of ((1 - 3) + 4/3)*502497/(-74).
3, 503
Suppose 15243887 = 324*v + 239*v - 102*v. What are the prime factors of v?
43, 769
Suppose p - r - 4*r = 2, -3*r - 8 = -4*p. Suppose -5*s - 5*t - 15 = 0, 40*s - t + 12 = 36*s. List the prime factors of (s/(-3) - p)*3*-19.
3, 19
Let c(n) = n**2 - 5*n + 9. Let m = -76 - -79. Let k be c(m). Suppose 0 = 2*l + 8, -4*i + 5*l = -k*i - 38. What are the prime factors of i?
2, 3
Let c(f) = -15*f**2 - 2*f + 14. Let x be c(10). Let d = -999 - x. Let a = 722 - d. List the prime factors of a.
5, 43
Suppose -5*z - 139020 = 483*o - 488*o, 0 = -5*o - 3*z + 139068. What are the prime factors of o?
2, 3, 5, 103
Let l = 20 + -21. Let t = l + -17. What are the prime factors of ((-676)/(-24))/1 - (-3)/t?
2, 7
Suppose -5*x - 5*b + 3*b - 30 = 0, -x + 6 = -2*b. Let z(y) = y**3 - 8*y**2 + 8*y + 1. Let t be z(7). What are the prime factors of 1798/t - 5/x?
2, 113
Suppose 5*c - 4*w = 290, -3*c = -2*c - 3*w - 58. Let r = c + -56. Let q(h) = 5*h**3 + 2*h**2 - h + 4. List the prime factors of q(r).
2, 5
What are the prime factors of (243/60 + -4)*4 + 51768/10?
31, 167
Let m(d) = -d**2 + 7*d - 7. Let g be m(9). Suppose 58*a + 190 = 63*a. Let j = a + g. List the prime factors of j.
13
Let c(q) = -q**2 + q + 363. Suppose 10*x = 7*x. What are the prime factors of c(x)?
3, 11
List the prime factors of (-3)/((-24)/(-860))*234/(-15).
3, 13, 43
Suppose 2 + 8 = -10*y. Let l be (-1)/(-2)*(3 - y). Suppose -8 = -l*a, -3*x + 7*x - 5*a = 40. List the prime factors of x.
3, 5
Suppose -62*j + 960 = -58*j. Suppose -7*h = -2*h - v - 573, -4*v = -2*h + j. What are the prime factors of h?
2, 3, 19
Let s(d) = 4298*d**2 + 303*d - 1. What are the prime factors of s(-2)?
5, 31, 107
Let r(l) = l + 1. Let t(p) be the third derivative of 5*p**4/12 - 3*p**3/2 + 17*p**2. Let d(x) = 2*r(x) - t(x). List the prime factors of d(-12).
107
Suppose -11*r + 11976 = -27899. List the prime factors of r.
5, 29
Let n = -13 - -20. Suppose n*x - 2*x - 310 = 3*b, 4*x = -3*b - 319. Let r = -42 - b. What are the prime factors of r?
3, 7
Suppose -167645 - 55971 = -29*m + 50115. List the prime factors of m.
9439
Let h = 579 - 720. Let u = 643 - h. What are the prime factors of u?
2, 7
Suppose -179*w + 3520 = -175*w. Suppose -2*p = -8 - w. List the prime factors of p.
2, 3, 37
Suppose -30*p = -33*p - 6. Let d be (-2 - -1)*(-2 - p) - -126. List the prime factors of (-642)/(-7) + 36/d.
2, 23
Suppose -158 = 3*d - 155. List the prime factors of 11/(-10 - 34)*(d + -475).
7, 17
Suppose -24*r + 1 = -25*r. List the prime factors of 546/105*(31 + r).
2, 3, 13
Suppose 4992 = 5*g + 1107. Let y = g + 598. What are the prime factors of y?
5, 11
Let s(y) = y**3 + 27*y**2 + 48*y - 68. Let p(a) = -10*a + 38. Let r be p(6). What are the prime factors of s(r)?
2, 3
Let t be -2 + 1 - (-15 - -11). Suppose -96 = t*m - 411. Suppose -m - 170 = -5*v. What are the prime factors of v?
5, 11
Suppose 81*p - 185988 = 69*p. What are the prime factors of p?
11, 1409
Let f = 36297 - -18355. List the prime factors of f.
2, 13, 1051
Suppose 30*p - 9488 = 38*p. List the prime factors of -6 - -6 - 6 - p.
2, 5, 59
Let a(t) = t + 13. Let b be a(-10). Suppose 0*k - 4*k + 4 = 0. Suppose k = x - b. List the prime factors of x.
2
What are the prime factors of (-11 - 72/(-16))*-46?
13, 23
Suppose -2*z - 3*d = -d - 718, 704 = 2*z - 5*d. Suppose -5*y + 376 = 1441. Let f = z + y. List the prime factors of f.
2, 3
Let h(f) = 9*f - 46. Suppose l - 40 = -7*l. Let c be h(l). List the prime factors of c - (-4 - (121 - -3)).
127
Suppose -89625 = -14*h + 24335. List the prime factors of h.
2, 5, 11, 37
Let y = -58 - -25. Let r = 33 + y. Suppose 4*x = r, -3*j + 385 = 2*j + 2*x. List the prime factors of j.
7, 11
Let v(l) = 10*l**2 + 9*l - 6. Let s be v(5). Let r = 417 - s. Suppose p = -p + r. List the prime factors of p.
2
Suppose -2*a = -5*g - 73, -5*a + 2*g - 48 = -283. Suppose -984 = -a*l + 45*l. List the prime factors of l.
2, 3, 41
Let x be (32/20 + -4)/(8/(-1680)). Suppose 5*s + 1021 = 2*d, -10*s + 14*s = -d + x. What are the prime factors of d?
2, 127
Let z be (-12)/1*(11/4 - 3). Suppose u = -3*w - 2, -w + 3*w - 8 = -z*u. Suppose l - 5*s - 14 = 69, u*l - 378 = -3*s. List the prime factors of l.
3, 31
Let f(b) = 7*b**3 - 18*b**2 + 79*b - 568. List the prime factors of f(13).
2, 7, 457
Let p(b) = 19*b + 3116. List the prime factors of p(24).
2, 19, 47
Let c = 3061 + -5412. Let i = c - -3680. List the prime factors of i.
3, 443
Suppose -2841181 + 7985094 = 327*a - 12127900. What are the prime factors of a?
13, 17, 239
Let l(y) be the second derivative of y**5/20 + y**4/12 - 3*y**3/2 + 87*y**2/2 - 3*y + 8. What are the prime factors of l(0)?
3, 29
Suppose -110*y = -109*y - 6500. What are the prime factors of y?
2, 5, 13
Suppose -2*d + 2 = 0, -3*l = d - 2*d + 1318. Let j = l - -821. List the prime factors of j.
2, 191
Let v(t) = -t**2 + 10*t + 5. Let u(m) = -m + 22. Let b be u(12). Let q be v(b). What are the prime factors of ((-34)/q)/(2/(-10))?
2, 17
Let v(b) = 6*b - 28. Let o be v(5). Let k = -549 + 803. Suppose o*u + k = n - 2*u, 3 = u. List the prime factors of n.
2, 7, 19
Suppose -24*j + 196261 = -20099. Suppose 9*y - j = -6*y. What are the prime factors of y?
601
Suppose 1829 = -40*p + 8029. List the prime factors of p.
5, 31
Suppose -5*k + t + 58873 = 0, 18864 = 4*k - 4*t - 28228. List the prime factors of k.
3, 5, 157
Let b = 499 - -28. List the prime factors of b.
17, 31
Let t = 9 - -137. Suppose -5*w + t + 229 = 0. List the prime factors of w.
3, 5
Let p(y) = -63*y - 130. Let j be 1*(-21 + (5 - 7)). What are the prime factors of p(j)?
1319
Suppose 0 = 3*c + 5 - 5. Suppose c = 2*d + 2*j - 98, -45 = -d - 5*j - 0*j. Suppose -3*k = -3*l - d - 46, 3*k + l - 108 = 0. What are the prime factors of k?
5, 7
Suppose 2*w + 60*s - 59*s - 25186 = 0, 2*s = 4. What are the prime factors of w?
2, 787
Suppose -159*t + 5047559 = 66*t + 179
|
{
"pile_set_name": "DM Mathematics"
}
|
of -23828813, -23828803, -23828793, -23828783?
10*b - 23828823
What is the b'th term of 3673447, 3673446, 3673445, 3673444?
-b + 3673448
What is the q'th term of 136664, 136688, 136714, 136742, 136772, 136804, 136838?
q**2 + 21*q + 136642
What is the u'th term of 50653, 202384, 455283, 809362, 1264633, 1821108, 2478799?
2*u**3 + 50572*u**2 + u + 78
What is the w'th term of 31327, 125334, 282013, 501364, 783387?
31336*w**2 - w - 8
What is the o'th term of 3977, 8021, 12277, 16751, 21449?
o**3 + 100*o**2 + 3737*o + 139
What is the o'th term of -29580, -59154, -88728, -118302, -147876?
-29574*o - 6
What is the b'th term of -57338152, -57338143, -57338134, -57338125?
9*b - 57338161
What is the w'th term of 6485823, 25943284, 58372385, 103773126, 162145507, 233489528?
6485820*w**2 + w + 2
What is the k'th term of -2581180, -2581072, -2580964, -2580856, -2580748, -2580640?
108*k - 2581288
What is the k'th term of -3060, -6222, -9384, -12546, -15708?
-3162*k + 102
What is the y'th term of -21675076, -21675070, -21675064, -21675058?
6*y - 21675082
What is the x'th term of -7389, -29600, -66629, -118476?
-7409*x**2 + 16*x + 4
What is the x'th term of 66900, 67502, 68104?
602*x + 66298
What is the v'th term of -25274334, -50548665, -75822992, -101097315, -126371634?
2*v**2 - 25274337*v + 1
What is the m'th term of -848, -3045, -6754, -11975, -18708, -26953?
-756*m**2 + 71*m - 163
What is the p'th term of -1363, -11039, -37305, -88459, -172799?
-1383*p**3 + 3*p**2 - 4*p + 21
What is the c'th term of -3278, -3343, -3408, -3473, -3538?
-65*c - 3213
What is the t'th term of 2612114, 2612105, 2612090, 2612069, 2612042, 2612009, 2611970?
-3*t**2 + 2612117
What is the k'th term of 180, 1875, 6742, 16431, 32592, 56875, 90930, 136407?
275*k**3 - 64*k**2 - 38*k + 7
What is the y'th term of 916, 1565, 3262, 6511, 11816, 19681, 30610?
84*y**3 + 20*y**2 + y + 811
What is the z'th term of -1441, -1572, -1777, -2056, -2409, -2836, -3337?
-37*z**2 - 20*z - 1384
What is the i'th term of -1777955, -1777961, -1777967, -1777973, -1777979, -1777985?
-6*i - 1777949
What is the z'th term of -25156, -27556, -29956, -32356, -34756?
-2400*z - 22756
What is the h'th term of 3330, 6782, 10252, 13746, 17270, 20830, 24432, 28082?
h**3 + 3*h**2 + 3436*h - 110
What is the b'th term of 22587, 44822, 67057?
22235*b + 352
What is the k'th term of -3387, -13633, -30703, -54591, -85291, -122797, -167103, -218203?
k**3 - 3418*k**2 + k + 29
What is the i'th term of -214, -135, -4, 179, 414, 701?
26*i**2 + i - 241
What is the c'th term of -120891, -120970, -121049, -121128, -121207?
-79*c - 120812
What is the b'th term of -118429, -118133, -117633, -116923, -115997, -114849?
b**3 + 96*b**2 + b - 118527
What is the v'th term of 733768, 733770, 733772, 733774, 733776?
2*v + 733766
What is the f'th term of 102157, 102327, 102609, 103003?
56*f**2 + 2*f + 102099
What is the y'th term of -117427, -117374, -117313, -117238, -117143?
y**3 - 2*y**2 + 52*y - 117478
What is the f'th term of -119, -480, -1083, -1928, -3015?
-121*f**2 + 2*f
What is the s'th term of -1136695, -1136694, -1136693?
s - 1136696
What is the n'th term of -3414, -13729, -30908, -54945, -85834, -123569?
n**3 - 3438*n**2 - 8*n + 31
What is the q'th term of -59988, -239933, -539838, -959697, -1499504, -2159253?
q**3 - 59986*q**2 + 6*q - 9
What is the o'th term of 25545, 25517, 25471, 25407, 25325, 25225?
-9*o**2 - o + 25555
What is the d'th term of 42924801, 42924811, 42924821?
10*d + 42924791
What is the m'th term of 556706, 556713, 556738, 556793, 556890, 557041?
2*m**3 - 3*m**2 + 2*m + 556705
What is the f'th term of -288349, -289051, -289753, -290455, -291157?
-702*f - 287647
What is the u'th term of -320, -3856, -13730, -33110, -65164, -113060, -179966?
-528*u**3 - u**2 + 163*u + 46
What is the p'th term of 19208, 72535, 159978, 281537, 437212, 627003, 850910?
17058*p**2 + 2153*p - 3
What is the u'th term of 5874, 13799, 23774, 35799, 49874, 65999?
1025*u**2 + 4850*u - 1
What is the a'th term of -63394, -63399, -63404?
-5*a - 63389
What is the b'th term of 15185, 31582, 49183, 67982, 87973, 109150, 131507?
-b**3 + 608*b**2 + 14580*b - 2
What is the t'th term of -100571, -101102, -101633, -102164, -102695, -103226?
-531*t - 100040
What is the t'th term of -688, 906, 2500, 4094?
1594*t - 2282
What is the d'th term of 674, 629, 578, 521, 458, 389?
-3*d**2 - 36*d + 713
What is the w'th term of 121564, 243147, 364730?
121583*w - 19
What is the a'th term of -88867, -177526, -266185, -354844, -443503, -532162?
-88659*a - 208
What is the v'th term of -6118, -5832, -5596, -5434, -5370, -5428, -5632?
-4*v**3 - v**2 + 317*v - 6430
What is the j'th term of -25593, -101746, -228669, -406362, -634825, -914058, -1244061?
-25385*j**2 + 2*j - 210
What is the d'th term of 7378834, 7378819, 7378804, 7378789, 7378774?
-15*d + 7378849
What is the s'th term of -6164, -11916, -17666, -23414, -29160?
s**2 - 5755*s - 410
What is the q'th term of -1547224, -1547212, -1547200, -1547188, -1547176, -1547164?
12*q - 1547236
What is the i'th term of -15027851, -15027852, -15027853, -15027854?
-i - 15027850
What is the m'th term of 13100, 13699, 14298, 14897?
599*m + 12501
What is the f'th term of 2326, 2123, -612, -5879, -13678?
-1266*f**2 + 3595*f - 3
What is the y'th term of 34805769, 34805752, 34805709, 34805628, 34805497, 34805304, 34805037, 34804684?
-2*y**3 - y**2 + 34805772
What is the x'th term of 10650, 22336, 34022?
11686*x - 1036
What is the y'th term of 62542, 125387, 188232?
62845*y - 303
What is the v'th term of 185, 173, 127, 29, -139?
-3*v**3 + v**2 + 6*v + 181
What is the u'th term of -101193, -101244, -101323, -101424, -101541, -101668?
u**3 - 20*u**2 + 2*u - 101176
What is the n'th term of -1849, -4206, -6561, -8914?
n**2 - 2360*n + 510
What is the k'th term of 227349, 454683, 682017?
227334*k + 15
What is the y'th term of 70625196, 70625194, 70625192, 70625190, 70625188?
-2*y + 70625198
What is the j'th term of 2442, 12029, 28742, 52581?
3563*j**2 - 1102*j - 19
What is the t'th term of 244251, 977009, 2198265, 3908013, 6106247, 8792961?
-t**3 + 244255*t**2 - 3
What is the w'th term of -5054, -19887, -44606, -79211, -123702?
-4943*w**2 - 4*w - 107
What is the o'th term of 5710, 5748, 5786, 5824, 5862, 5900?
38*o + 5672
What is the x'th term of -42359, -42465, -42645, -42905, -43251?
-x**3 - 31*x**2 - 6*x - 42321
What is the o'th term of 1149608, 2299217, 3448826?
1149609*o - 1
What is the c'th term of -73808211, -147616423, -221424635, -295232847, -369041059?
-73808212*c + 1
What is the t'th term of 2475195, 4950394, 7425593, 9900792, 12375991, 14851190?
2475199*t - 4
What is the s'th term of 139597, 138700, 137801, 136900?
-s**2 - 894*s + 140492
What is the z'th term of -1843, -1620, -1325, -958, -519?
36*z**2 + 115*z - 1994
What is the x'th term of -1416582, -1416516, -1416450, -1416384?
66*x - 1416648
What is the m'th term of -7012, -13135, -19282, -25453?
-12*m**2 - 6087*m - 913
What is the b'th term of -18173692, -18173694, -18173696, -18173698, -18173700?
-2*b - 18173690
What is the l'th term of 4700, 8123, 11542, 14957, 18368?
-2*l**2 + 3429*l + 1273
What is the w'th term of 12787776, 12787790, 12787806, 12787824, 12787844?
w**2 + 11*w + 12787764
What is the k'th term of -17709, -70854, -159405, -283344, -442653, -637314, -867309?
3*k**3 - 17721*k**2 - 3*k + 12
What is the z'th term of 14364, 15521, 16678?
1157*z + 13207
What is the a'th term of 497, 2917, 6975, 12665, 19981, 28917, 39467?
-a**3 + 825*a**2 - 48*a - 279
What is the z'th term of 17053, 17402, 17969, 18742, 19709, 20858, 22177?
-2*z**3 + 121*z**2 + 16934
What is the u'th term of 4241, 5022, 6315, 8120, 10437?
256*u**2 + 13*u + 3972
What is the r'th term of -2189984, -2190049, -2190150, -2190281, -2190436, -2190609, -2190794?
r**3 - 24*r**2 - 2189961
What is the z'th term of -13486, -54845, -124068, -221149, -346082, -498861?
z**3 - 13938*z**2 + 448*z + 3
What is the x'th term of 20870, 83412, 187622, 333500?
20834*x**2 + 40*x - 4
What is the h'th term of 475056, 475064, 475076, 475092, 475112, 475136?
2*h**2 + 2*h + 475052
What is the k'th term of 306, 2007, 6482, 15087, 29178?
226*k**3 + 31*k**2 + 26*k + 23
What is the k'th term of 295941, 591869, 887793, 1183713
|
{
"pile_set_name": "DM Mathematics"
}
|
344?
23405343
In base 2, what is 101110011111111010000 - 100011001?
101110011111010110111
In base 11, what is 1198353a7 - 3?
1198353a4
In base 10, what is 155 + -600718?
-600563
In base 12, what is -1001812 - 4?
-1001816
In base 11, what is -150 + -10a736?
-10a886
In base 8, what is -3 + -62151722?
-62151725
In base 2, what is 1000000001 - 1010000001?
-10000000
In base 10, what is 73 + -200623?
-200550
In base 15, what is 4c11644 - 3?
4c11641
In base 9, what is 1227108 + 6?
1227115
In base 2, what is 100001110001100100000010 - -11?
100001110001100100000101
In base 3, what is 100120 + -112220102121?
-112220002001
In base 14, what is 7219 + -6170?
1089
In base 9, what is 8608452 + 5?
8608457
In base 10, what is -3363398 - 0?
-3363398
In base 6, what is -152 + 1321435?
1321243
In base 3, what is 200111202001 + -201112?
200111000112
In base 16, what is 38aaa3df - -3?
38aaa3e2
In base 12, what is 6b + -63b40?
-63a91
In base 7, what is 1523 - 53?
1440
In base 9, what is -1164151 - -40?
-1164111
In base 14, what is 5 - -6aad66?
6aad6b
In base 7, what is -1230123151 + 2?
-1230123146
In base 14, what is -21b1351 - 5?
-21b1356
In base 4, what is 13 - -12202031220?
12202031233
In base 10, what is 699000 + 246?
699246
In base 7, what is 21343005 + 0?
21343005
In base 4, what is 1010123 + 13130101?
20200230
In base 3, what is -21222 + 11002001211?
11001202212
In base 14, what is -453888 + -8d?
-453937
In base 8, what is -6 + 21371140?
21371132
In base 8, what is -6507 - 4247?
-12756
In base 10, what is -6 - -727061?
727055
In base 13, what is 1c4 + -2cc42?
-2ca4b
In base 6, what is -140331231 - -234?
-140330553
In base 9, what is 3 - 65385314?
-65385311
In base 8, what is -1207 - 21100?
-22307
In base 7, what is -1402 + 333103?
331401
In base 5, what is 32 - 23214011?
-23213424
In base 9, what is -18 + 4368828?
4368810
In base 10, what is 16684 + 303?
16987
In base 6, what is 4 + 214202131?
214202135
In base 12, what is 475 + 17606?
17a7b
In base 5, what is 1213111230221 + 10?
1213111230231
In base 8, what is -14 - -17005226?
17005212
In base 6, what is -144033354 + 0?
-144033354
In base 9, what is 5 + 16612307?
16612313
In base 7, what is 10143 - 6365?
445
In base 3, what is 220201101220 - 111001?
220200220212
In base 15, what is 1764905 - -2c?
1764932
In base 6, what is 104553231 + -5?
104553222
In base 7, what is -3 - -20401520?
20401514
In base 10, what is -104363 - 1390?
-105753
In base 9, what is -12 - 4256331?
-4256343
In base 12, what is 155016a6 - 4?
155016a2
In base 5, what is 1241 - 1234310?
-1233014
In base 6, what is 124231 - -121342?
250013
In base 13, what is -8b165b8 + -2?
-8b165ba
In base 5, what is 10 + 430333430?
430333440
In base 14, what is -26a2 + -643?
-2d05
In base 15, what is -2 + -10c2b7c?
-10c2b7e
In base 4, what is 1 - 30103123003121?
-30103123003120
In base 4, what is 122201303312202 + 0?
122201303312202
In base 8, what is 1444557 - -47?
1444626
In base 8, what is 315 - 1574613?
-1574276
In base 11, what is -440a23296 + -5?
-440a232a0
In base 12, what is 14045941 + 2?
14045943
In base 8, what is -33627 - -700?
-32727
In base 2, what is -11 - -11011111011001100111000?
11011111011001100110101
In base 11, what is 2433706 - -7?
2433712
In base 14, what is 23a3c + -849?
231d3
In base 8, what is 217212011 + -2?
217212007
In base 15, what is 89620 - a?
89615
In base 5, what is 14123321 - -3?
14123324
In base 4, what is 313032 - -220102232?
221021330
In base 11, what is -a6a731 - 7?
-a6a738
In base 5, what is 3303022 + -231131?
3021341
In base 8, what is -20206367 - 5?
-20206374
In base 12, what is 396580 + 107?
396687
In base 11, what is 526430 - 92?
526349
In base 5, what is 113104113 + -14212?
113034401
In base 3, what is -11101101 - -1220122?
-2110202
In base 7, what is 1613 - 365664?
-364051
In base 15, what is 107ad8e + e?
107ad9d
In base 13, what is -286778 + 47?
-286731
In base 12, what is 0 - 192889?
-192889
In base 6, what is -11 + 214330330?
214330315
In base 13, what is -b8bb26 - -1?
-b8bb25
In base 12, what is b20 - a1a?
102
In base 4, what is 2 - -102310123100?
102310123102
In base 8, what is -1672 + -36402?
-40274
In base 5, what is -13134012 - 110?
-13134122
In base 5, what is 22231442124 + 132?
22231442311
In base 5, what is 13130113342 + 0?
13130113342
In base 4, what is 20311233000 + -1123?
20311231211
In base 15, what is 4b88 - -1c7?
4d60
In base 3, what is 1101212 + 112010112?
120112101
In base 4, what is -303312133123 + -21?
-303312133210
In base 15, what is 1065b2 + -2?
1065b0
In base 7, what is 3 - 22522344?
-22522341
In base 15, what is -2 - c3c77d?
-c3c780
In base 14, what is 2 - 27bb812?
-27bb810
In base 4, what is -1 + 220103210?
220103203
In base 4, what is 11233000 + 21320?
11320320
In base 6, what is -221305402 - 3?
-221305405
In base 8, what is -27 + -26010647?
-26010676
In base 5, what is -2030233103414 + -4?
-2030233103423
In base 13, what is -91 - -14a68?
149a7
In base 11, what is -18a + -a0604?
-a0793
In base 10, what is -11062 + -4948?
-16010
In base 7, what is -42635 + -3063?
-46031
In base 3, what is -2000201 + 20001011211?
12222011010
In base 13, what is 1cc16463 - -3?
1cc16466
In base 13, what is -a545c - -20b?
-a5251
In base 13, what is 2a10 - c2b?
1ab2
In base 9, what is 88 - -25658?
25757
In base 5, what is -401241 - -3240?
-343001
In base 5, what is 201122 + 3313040?
4014212
In base 2, what is -10011110010000101111 + -10100100?
-10011110010011010011
In base 15, what is 1e42 + 400?
2342
In base 15, what is -2 - -4627e9e?
4627e9c
In base 11, what is 3 - -201414a0?
201414a3
In base 15, what is -47136 - -2?
-47134
In base 6, what is 2012 - -233151?
235203
In base 3, what is 2 + 2110212022220?
2110212022222
In base 4, what is -2122 + -2133110001?
-2133112123
In base 11, what is 5 - -918175?
91817a
In base 3, what is 112020121002 + -12200?
112020101102
In base 2, what is 100001110 + 1111101001110010100?
1111101010010100010
In base 10, what is 0 - -24848?
24848
In base 12, what is -4738208 + -3?
-473820b
In base 15, what is 43 + -42de41?
-42dded
In base 11, what is -3 + -91a056a?
-91a0572
In base 14, what is -7d3706 - 7?
-7d370d
In base 11, what is -2828711 - 0?
-2828711
In base 11, what is -24068 - -6615?
-18553
In base 11, what is -3206 + 10658?
8452
In base 7, what is 1353 + -124563?
-123210
In base 9, what is -18547 - -104?
-18443
In base 8, what is -236256772 - -4?
-236256766
In base 11, what is -1110991 + -39?
-1110a1a
In base 7, what is 3200 + -156351?
-153151
In base 10, what is -357 - 123812?
-124169
In base 3, what is -21 + 1220122021120111?
1220122021120020
In base 14, what is -807 - 1dbcc?
-205d5
In base 8, what is -213275271 - -4?
-213275265
In base 7, what is -120 + 2443053?
2442633
In base 15, what is 378eba - -a7?
379072
In base 5, what is -243 + 2002404?
2002111
In base 4, what is 10 - 101221123331?
-101221123321
In base 14, what is -26 + -12269b?
-1226c3
In base 4, what is -2220021 + -10020110?
-12300131
In base 12, what is 11b61bb - 5?
11b61b6
In base 10, what is 163 - 74983?
-74820
In base 11, what is 370a75 - 165?
370910
In base 11, what is 288a - -1498?
4277
In base 8, what is 547 + 455357?
456126
In base 14, what is -111 - 21b8a?
-21c9b
In base 12, what is -21baaa - -2a?
-21ba80
In base 10, what is 2 - 2644687?
-2644685
In base 5, what is -22324240221 - 201?
-22324240422
In base 3, what is -11101001 + 12110202?
1002201
In base 11, what is 221917784 + 3?
221917787
In base 4, what is 0 - 20120031003?
-20120031003
In base 8, what is 12566 + 21514?
34302
In base 2, what is 10001 + -110001110010011010001?
-110001110010011000000
In base 11, what is -2a0687 - 30?
-2a0707
In base 10, what is -2 + -179575660?
-179575662
In base 7, what is 252505331 - 13?
252505315
In base 10, what is 1756 - 58151?
-56395
In base 9, what is -1087 + 65850?
64752
In base 8, what is -244333 + -404?
-244737
In base 10, what is 81 - -265956?
266037
In base 13, what is -50cc - -b2c?
-42a0
In base 3, what is 1202 - 102101021222021?
-102101021220112
In base 16, what is -e9ac + -3fb7?
-12963
In base 15, what is 4 + e8c3c?
e8c41
In base 13, what is 3 + 96b1221?
96b1224
In base 15, what is 1126d79 - 0?
1126d79
In base 11, what is 666902 - -68?
66696a
In base 11, what is 5 - 8482aa?
-8482a5
In base 7, what is
|
{
"pile_set_name": "DM Mathematics"
}
|
e -1 - f = -2*l. What is the units digit of l?
1
Let y(o) = o**3 + 8*o**2 - o - 6. Let u be 4/6 - (-78)/(-9). What is the units digit of y(u)?
2
Let p be -1 + 0 + 31 + -2. Suppose 0 = -3*f + 2 + p. What is the units digit of f?
0
Let t(l) = -2*l - 10. What is the units digit of t(-9)?
8
Let g(v) = v - 8. Let f be g(11). Suppose 2*d - h - 8 = 0, -f*d - 4*h + 33 = 2*d. Suppose -70 = -d*j + 2*r + 3*r, 2*r + 82 = 5*j. What is the tens digit of j?
1
Let l(t) = 6*t**3 + 5*t - 3. What is the units digit of l(2)?
5
Suppose 21 = 3*y + 4*u - 7*u, 9 = y - 3*u. What is the tens digit of (-2)/3 - (-112)/y?
1
Suppose -207 = -4*v + p, 4*v + p - 192 = 5*p. Suppose 15 = a - 2*w, -a + v = 3*a - w. What is the units digit of a?
3
What is the units digit of (18/4)/((-30)/(-200))?
0
Let k(x) = -x**3 + 8*x**2 - 11*x + 8. What is the units digit of k(6)?
4
Suppose 5 = -n - n + 5*m, 0 = -4*n + 5*m - 5. Let k(i) = -i**3 - i**2 - i - 12. Let y be k(n). What is the units digit of (-80)/(-24)*y/(-5)?
8
Let j(r) = r**2. Let w be j(5). Suppose 2*o + 3 - w = 0. Let k = 17 - o. What is the units digit of k?
6
Let o(b) = 4*b**3 + 7*b**2 + 3*b - 12. Let n(k) = 3*k**3 + 8*k**2 + 4*k - 12. Let t(s) = 3*n(s) - 2*o(s). What is the units digit of t(-9)?
5
Suppose -6*c + 55 = -c. Suppose 2*m - 3*m + 3 = 0, 0 = -2*u - m + 9. Suppose c = u*d - 13. What is the units digit of d?
8
What is the units digit of (1 - 55)*21/(-14)?
1
Let s(t) = -t - 6. Let l be s(-6). Let h = 12 - l. What is the units digit of h?
2
Suppose -t + 8 = -n, -6 = -n - 1. What is the tens digit of t?
1
Let n = 7 + 28. What is the tens digit of n?
3
Let l = 518 - 309. What is the tens digit of l?
0
Let r(i) = -i + 2. Let k be r(2). Suppose h - 23 - 6 = k. What is the units digit of h?
9
Suppose j + 0 + 3 = 0. Let d be 11*(0 + -2) + 3. What is the units digit of d/j - (-6)/9?
7
Suppose 158 = 5*q - q + 5*p, -5*q = -2*p - 214. Let s = q - 23. What is the units digit of s?
9
Let l(q) = -3*q**3 - 2*q**2 - 4. Let y be l(-3). Let o = y + -35. What is the tens digit of o?
2
Let v be (-68)/(-5) + (-4)/(-10). Let p = -9 + v. Let g = p - -3. What is the units digit of g?
8
Let o = -2 - -7. Let s(d) = 3*d + 4*d - 4 - 6*d. What is the units digit of s(o)?
1
Let z = -58 + 115. What is the tens digit of z?
5
Let r(p) be the first derivative of p**3/3 + p**2 - p - 3. Suppose 4*a - h = -4*h - 4, -3*h + 16 = -a. What is the units digit of r(a)?
7
Suppose 0 = -3*o - o + 8. Suppose 0 = -3*a + o*a + 4. What is the units digit of a?
4
Let i(l) be the third derivative of -l**6/120 - l**5/20 + 5*l**4/24 - 7*l**3/6 - 6*l**2. What is the tens digit of i(-5)?
1
Let x = -53 - -138. What is the units digit of x?
5
Let v(x) = -3*x + 13. Let s(r) = 13*r - 53. Let q(m) = 2*s(m) + 9*v(m). Let o be q(6). Suppose 0 = -o*j + 33 + 22. What is the units digit of j?
1
Let o(f) = -f**3 + 6*f**2 - 5*f + 4. Let z be o(5). What is the units digit of 9 + -2 + 8/z?
9
Suppose 10*t - 459 = 271. What is the tens digit of t?
7
Suppose 6*x = 3*x + 12, 0 = -4*p - 4*x + 188. What is the tens digit of p?
4
Let k = 7 - 4. Suppose 0 = -k*s - q + 39, q = 4*s - 31 - 28. What is the tens digit of s?
1
Suppose 0 = -r + k + 4, 2*r - 3*k = -8*k + 1. Suppose r*x + 3*q + q - 11 = 0, 0 = -4*x + 3*q - 2. Suppose t - x = 8. What is the units digit of t?
9
Suppose -3*n - 5*s + 174 = -0*s, -3*n + 174 = 4*s. What is the units digit of n?
8
Suppose 2*r - 2 = -0*r. What is the tens digit of (-3)/(6/8 - r)?
1
Let v(f) = 2*f**3 + 2*f**2 + 2. What is the units digit of v(2)?
6
Suppose -4*w - 4*u + u + 64 = 0, 0 = -2*u. Let z be 44/w - 1/(-4). What is the units digit of -1 + z - 3/(-1)?
5
Let u = 5 + -4. Let l be u - (-6)/2*-1. Let r(g) = -3*g**3 - 4*g**2 - g + 2. What is the tens digit of r(l)?
1
Let m(h) = -h**3 - 3*h**2 - 4*h. Suppose 5*c - 4*s = -15 + 4, 3*c = -s - 10. Let x be m(c). Suppose 6*b - 2*b = x. What is the units digit of b?
3
Let n(m) = -2*m - 1. Let t be 5/((-15)/6) + 1. What is the units digit of n(t)?
1
Let v be 0 - (0 + (0 - 2)). Let n be 1/(-2)*-2 + 11. Let o = n - v. What is the units digit of o?
0
Let h = -2 - -4. Suppose 2 = h*a - 4. Suppose 2*c + a*u = 3, -5*u + 11 = 6*c - 2*c. What is the units digit of c?
9
Let z(w) = -w**3 - 4*w**2 + 4*w - 7. Let g be z(-5). Let c = 3 - g. What is the units digit of c?
5
What is the units digit of ((-69)/18)/(4/(-24))?
3
Let q(x) = 12*x - 4. Let a be -1 - -2 - 1*-2. What is the tens digit of q(a)?
3
Let i be (-43)/(-9) + 8/36. Suppose 0 = 4*a - i*a + 46. What is the units digit of a?
6
Let t(c) be the second derivative of c**4/12 + c**3/2 + 3*c**2/2 + c. Let y be t(-2). What is the units digit of 2 + (2 - (y - -1))?
2
Suppose -3*m = -t + 4, 4*m - 2*m - 32 = -2*t. What is the units digit of (-1)/4*t*-4?
3
Suppose -17 = -4*q - 1. Let p be 0 + -2 + (3 - 3). Let m = p + q. What is the units digit of m?
2
Let a = -6 + 12. Suppose -5*n + a*u + 60 = u, 14 = n - 2*u. Let k(i) = -i + 12. What is the units digit of k(n)?
2
Let h = 2 - -1. Let u be 0 + 2 + -2 + 0. Suppose 5*x - k - 10 = 0, u*k = 2*x - h*k + 9. What is the units digit of x?
3
Suppose -2*z = -3*z + 77. Let g = z - 45. What is the units digit of g?
2
Let v(o) = o**3 - o**2 - 17. Let s be v(0). Let k = s - -37. What is the tens digit of k?
2
Let d be (-5)/10*38*2. Let k = -24 - d. What is the units digit of k?
4
Suppose -2*f - 1 + 5 = 0. Let b(r) = r**2 - 4*r + 4. Let n be b(3). What is the tens digit of (-3)/(f - n) - -13?
1
Let v = -2 + 0. Let j be 3/v - (-2)/4. What is the units digit of ((-39)/3 + 2)*j?
1
Let q(z) = -z**3 - 11*z**2 - 12*z - 6. What is the tens digit of q(-10)?
1
Suppose -15*y + 1180 = -230. What is the tens digit of y?
9
Let a(x) = x**2 + x - 1. Suppose z + 2*i + 20 = -3*i, 0 = 4*i + 16. Let c be a(z). Let k = c - -4. What is the units digit of k?
3
What is the tens digit of 27/18*58/3?
2
Suppose 2*f + 4*v = 3 + 13, -f + v - 4 = 0. Suppose f = -2*b - 2*b. Suppose -6*o + 3*o + 33 = b. What is the units digit of o?
1
Suppose 2*a + 165 = 5*g, -3*g + 5*a - 2*a + 108 = 0. Let u = g + -20. What is the units digit of u?
1
Let n be (24/18)/(2/12). Let v = 0 + n. What is the units digit of v?
8
Suppose w = -o - o + 25, -59 = -4*o + w. What is the tens digit of 0 - (-3 + 2)*o?
1
Let j be 1*(2 - (1 + 2)). Let v = j + 6. What is the units digit of v?
5
Let z(q) be the second derivative of -q**3/6 - q**2/2 + 2*q. Let j(v) = v**2 - 7*v - 2. Let x(y) = j(y) - 6*z(y). What is the tens digit of x(3)?
1
Suppose 4*f + 3*u = -5, 0 = -5*f + f - 2*u - 6. Let k = 6 - f. What is the units digit of k?
8
Let f(k) = -k**3 + k + 3. Let t be f(0). Suppose 0 = t*h - h - 6. What is the units digit of h?
3
Let b(q) be the third derivative of q**6/120 + q**2. What is the units digit of b(2)?
8
Let j(r) be the second derivative of 2*r**3/3 - r**2/2 + 3*r. What is the units digit of j(1)?
3
What is the units digit of (-4)/(-40) - (-2558)/20?
8
Let a(j) = -j**3 + 3*j**2 + 3*j - 4. Let c be ((-7)/(-1) - 1)/2. Let s be a(c). Suppose -3*n - s = -4*n. What is the units digit of n?
5
Let v be 1/(-2) - (-76)/(-8). Let h be (-4)/v - 4/10. Suppose 2*w + 2*w - 64 = h. What is the tens digit of w?
1
Let g = 92 - 29. What is the units digit of g?
3
Let a(r) = -r**3 - 12*r**2 - 14*r + 16. What is the units digit of a(-11)?
9
Suppose 2*s - 5 = 7. What is the units digit of (3 - 26/s)*-12?
6
Let g(x) = -x + 13. Let f be g(8). Suppose -2*c = -3*o - 24, 5*o - 22 = -f*c + 3*o. Let k = 15 - c. What is the units digit of k?
9
Let v(c) = -2*c**2 + c + 2*c**2 - 1 + 2*c**2. Let h be 22/18 + (-2)/9. What is the units digit of v(h)?
2
Suppose -3*p - 15 = 2*k, 0*k - 4*p = k + 20. Suppose -u + 8 = -k*u. What is the units digit of u?
8
Suppose 4*c = -4*t + 336, -3*t - 2*t - 380 = -5*c. What is the units digit of c?
0
Let o be (10/3)/((-4)/(-6)). Suppose 0 = o*u - 41 - 4. Let t = 16 - u. What is the units digit of t?
7
Let o = -6 + 3. What is the tens digit of (o + -2 - -2)*-5?
1
Let l(z) = 2*z + 30. What is the units digit of l(18)?
6
Let t(i) = 4*i**3 - 3*i**2 - 7*i + 16. What is the units digit of t(4)?
6
Let t(n) = 7*n - 3. Let u be t(3). What is the tens digit of 261/u - 1/2?
1
Suppose -5*f + 3*d - 5 = 0, 4*f - 33 = -4*d - d. Suppose -79 = -4*p + 5*j, f*p - p = -2*j + 36. What is the tens digit of p?
2
Let s(r
|
{
"pile_set_name": "DM Mathematics"
}
|
**5/10 - h**4/3 + h**3/3 - h**2/2 - 19*h. Calculate -4*g(r) + 3*j(r).
2*r**3 - 2*r + 1
Let u(d) = -3*d. Let a(v) = -16*v - 1. Suppose 5*c + 10 - 20 = 0. Give c*a(f) - 11*u(f).
f - 2
Let u(z) = z. Let s be 6/(-6*2/(-8)). Let o be -1 + 24 + (-7 - -5). Let p = o - 32. Let g(w) = 3*w. What is p*u(l) + s*g(l)?
l
Let a(u) = -12*u**3 + 11*u. Let b be 1/(((-2)/4)/(-1)). Let l be 1 + (-2 - b)/(-2). Let z(g) = 3*g - l*g + g + 0*g - g**3. What is 2*a(s) - 22*z(s)?
-2*s**3
Let g(u) = -u**2 + 1. Let q(b) = b**3 + 2*b**2 - 9. Calculate 5*g(t) + q(t).
t**3 - 3*t**2 - 4
Let m(h) be the first derivative of 13*h**4/4 + 4*h**3/3 + 7*h**2/2 - 13*h - 3. Let k(u) = -3 + 3*u**2 - 1 + 9*u**3 - 5 + 5*u. Determine 7*k(v) - 5*m(v).
-2*v**3 + v**2 + 2
Let p(z) = z**3 - 2*z**2 - 1. Let o(u) = -2*u**3 - 2*u**2 - 5. Let r(v) = 3*v**3 + 5*v**2 + 10. Let l(k) = -11*o(k) - 6*r(k). Calculate 2*l(m) - 9*p(m).
-m**3 + 2*m**2 - 1
Suppose -3*b + 4*c - 26 = 0, 2*c + 3 = -3*b + 7. Let n(k) = -k**3 + k**2 - k - 1. Let o = -2 + 3. Let z(m) = -3*m**3 + 2*m**2 - 2*m - 2. Give b*n(x) + o*z(x).
-x**3
Let r(v) = 8*v**3 - 20*v**2 + 20. Let c(q) = -q**3 + 3*q**2 - 3. Give -40*c(g) - 6*r(g).
-8*g**3
Let x(b) = -9*b - 19. Let n(l) = -5*l - 10. Give -7*n(f) + 4*x(f).
-f - 6
Let v(u) = -4*u**2 + 2*u - 9. Let z(c) = -c**2 + c. Give v(l) - 2*z(l).
-2*l**2 - 9
Let r(m) = -7*m**2 - 7*m - 4. Suppose 3 = -x - 3. Let g be 141/(-21) + x/21. Let t(p) = 10*p**2 + 10*p + 6. What is g*r(f) - 5*t(f)?
-f**2 - f - 2
Suppose 0 = -0*x + 5*x. Let l(b) = 3*b - 5*b**2 + x*b - b - 4. Let d(i) = 6*i + 181 - 383 + 191 - 14*i**2. Give -6*d(q) + 17*l(q).
-q**2 - 2*q - 2
Let r(t) = t**3 + t**2 - t + 1. Let c = 7 + -11. Let z = -3 - -4. Let h(w) = 6*w**3 + 4*w**2 - 3*w + 3. Give c*r(x) + z*h(x).
2*x**3 + x - 1
Let q(h) = -8*h - 2. Let s(o) = 8*o + 2. Determine 4*q(p) + 3*s(p).
-8*p - 2
Let y(x) = -2*x + 6. Let i be (-3)/(-4) + (-270)/(-120). Let t(v) = -2*v + 1 + 0 + 4. Determine i*y(f) - 4*t(f).
2*f - 2
Let o(w) = 2*w + 7. Let y(k) = -2*k - 6. Let s(u) = -2*o(u) - 3*y(u). Suppose 4 = -h, -3*i + i = 5*h + 16. Let x(t) = t + 1. Give i*s(p) - 6*x(p).
-2*p + 2
Suppose 4*l = 5*l - 5. Let n(a) = -4*a**2 + 2*a + 5. Let q(d) = 3*d**2 - 2*d - 4. Let h(m) = -m**2 + 4*m + 4. Let o be h(4). Determine l*q(y) + o*n(y).
-y**2 - 2*y
Let n = -17 - -6. Let l = n - 0. Let x(t) be the second derivative of t**3 + 3*t**2 - 6*t - 3. Let y(z) = -z - 1. Determine l*y(c) - 2*x(c).
-c - 1
Let b(o) = 2*o**2 - 6*o - 7. Let c(g) = 3*g**2 - 7*g - 8. Give -6*b(r) + 5*c(r).
3*r**2 + r + 2
Suppose -3*a - 10 = 4*h, 0 = 5*a - 7*a + 2*h - 2. Let q(j) = -3*j + 3 + 2*j - 2. Let w(u) = -u**2 + 5*u - 4. What is a*w(x) - 9*q(x)?
2*x**2 - x - 1
Let d(m) = -16*m. Let b(i) = -17*i. Calculate -3*b(o) + 2*d(o).
19*o
Let l(a) = 10*a + 4. Let g(d) = 5*d + 7*d + 4 - 9*d - 3. Give -7*g(x) + 2*l(x).
-x + 1
Let b(d) = 29*d**2 + d - 6. Let q(x) = 28*x**2 + x - 7. Determine -7*b(k) + 6*q(k).
-35*k**2 - k
Let b(g) = 23*g**2 - 6*g. Let w(a) = -46*a**2 + 11*a. Calculate -11*b(i) - 6*w(i).
23*i**2
Let h(j) = -6 + 2*j + 10*j**2 - 19*j**2 + 4*j**2. Let r(y) = y**2 + 1. Calculate -h(b) - 4*r(b).
b**2 - 2*b + 2
Let x(f) = 6*f**3 - 5. Let j(r) = 6*r**3 - 6. Give -5*j(k) + 6*x(k).
6*k**3
Suppose -4*w + 7 + 9 = 0. Let h be ((-2)/(-3))/(w/(-6)). Let p(z) = -z**3 + z**2 + z. Let f(j) = j + 2. Give h*p(l) + f(l).
l**3 - l**2 + 2
Let c(t) = 9*t. Let u(m) = -m. Determine 5*c(f) + 30*u(f).
15*f
Let q(x) = -19*x**3 - 7*x**2 - 9. Let u(l) = 9*l**3 + 3*l**2 + 4. Determine 4*q(f) + 9*u(f).
5*f**3 - f**2
Suppose 6 = -5*l - 4. Let o = 12 - 17. Let p(q) = 7*q**3 + 4*q**2 + 5*q - 5. Let c(u) = -3*u**3 - 2*u**2 - 2*u + 2. Calculate l*p(f) + o*c(f).
f**3 + 2*f**2
Let x(j) = 5*j**3 + 3*j**2 + 3*j - 4. Let y(u) = -14*u**3 - 10*u**2 - 9*u + 11. Calculate 11*x(p) + 4*y(p).
-p**3 - 7*p**2 - 3*p
Let z(g) = g + 21. Let o(j) = j + 22. Calculate 4*o(h) - 5*z(h).
-h - 17
Let w(f) = -137*f. Let g(y) = -3905*y. Give -5*g(a) + 142*w(a).
71*a
Let b(c) = -c**2. Let a(y) = -7*y**2. Give a(x) + 3*b(x).
-10*x**2
Let o(h) = -5*h**2 - h - 4. Let q be ((-33)/(-9) + -2)*3. Let i(d) = -6*d**2 - d - 5. What is q*o(t) - 4*i(t)?
-t**2 - t
Suppose -4*d = -3*c, -4*d + 4*c + 2 + 2 = 0. Let l(g) = g - 3. Let z(o) = -7 + 3 + 3 + 2. What is d*z(t) - l(t)?
-t
Let w(i) = -9*i**3 - 7*i**2 - 6. Let l(p) = -6*p**2 - 5 - 8*p**3 + 4032*p - 4032*p. Give 7*l(g) - 6*w(g).
-2*g**3 + 1
Let g(m) = 3*m - 7*m + 3*m. Suppose 5 = -2*l + 1. Let j(q) = -6 - 5*q + 6 + 0 + q**2. Give l*j(r) + 10*g(r).
-2*r**2
Let d(k) be the third derivative of 7*k**2 + 1/10*k**5 + k**3 + 7/120*k**6 - 1/4*k**4 + 0*k + 0. Let q(g) = -g**3 - g**2 + g - 1. Give d(a) + 6*q(a).
a**3
Let z(g) = -17*g**2 + 1. Let p(y) = 3*y**2 - 2*y**2 - 5*y**2. Let c = 2 - 0. Let r be (c/7)/((-3)/(-21)). Give r*z(f) - 9*p(f).
2*f**2 + 2
Let k(g) be the third derivative of -g**5/30 - g**4/8 - 13*g**2. Let r(v) = -v**2 - v. Determine 2*k(a) - 6*r(a).
2*a**2
Suppose -m - 15 = -6*m. Let s(b) = 4 + m*b**2 - 7*b - 4*b**2 - 6*b**2. Let y(o) = -4*o**2 - 4*o + 2. Let f be -2*(1 + 3/6). Determine f*s(u) + 5*y(u).
u**2 + u - 2
Let k(a) = a + 2. Let c(d) = 3*d + 6. What is 2*c(n) - 7*k(n)?
-n - 2
Let t(n) = n**2 - n - 1. Let i(g) = 11*g. What is 2*i(z) + 2*t(z)?
2*z**2 + 20*z - 2
Let j(o) = -2*o - 2. Let l(p) = -1. Determine -j(h) + 5*l(h).
2*h - 3
Let a(c) = -3*c + 9. Let t = -13 + 22. Let s(v) = -2*v + 5. Give t*s(w) - 5*a(w).
-3*w
Let h(x) = -11*x - 5. Let d(c) = -1. Let s(z) = -d(z) - h(z). Let i(o) = 12*o + 7. Determine 6*i(q) - 7*s(q).
-5*q
Let y(s) = -17*s - 44. Let q(r) = 4*r + 11. Calculate 26*q(a) + 6*y(a).
2*a + 22
Let o(i) = 11*i - 8. Let a(r) = -10*r + 9. Calculate -6*a(u) - 7*o(u).
-17*u + 2
Let h(w) be the second derivative of w**4/12 - w**3/6 - 36*w - 1. Let r(q) = -7*q**2 + 7*q - 1. Calculate -6*h(c) - r(c).
c**2 - c + 1
Let z(i) = -i**3. Let y(a) = -a**3 + 6*a**2 - 2*a + 3. Let s be y(6). Let o = s + 4. Let d(u) = -3*u**3 - 2*u. Give o*z(l) + d(l).
2*l**3 - 2*l
Let a(v) = 84*v**3 - 36*v**2 + 36*v. Let s(y) = -12*y**3 + 5*y**2 - 5*y. Determine 5*a(l) + 36*s(l).
-12*l**3
Let p(d) = 5*d - 2. Let z(y) = 4*y - 1. Let j(u) = -2*p(u) + 3*z(u). Let f(t) = -1. What is 2*f(a) + j(a)?
2*a - 1
Let k = 8 - 5. Let y(b) = k + b + 0*b - 2. Let l(t) = -t**3 - 6*t - 6. Let h(w) = l(w) + 5*y(w). Let v(n) = 6*n**3 + 4*n + 4. What is -4*h(g) - v(g)?
-2*g**3
Let x(v) = 2*v**2. Let r(b) = -b. Let m be r(-2). Let z(q) = q**2 - 4*q**2 + 5*q**2 - q**m. Calculate -3*x(g) + 4*z(g).
-2*g**2
Let l(n) = -36 + 5*n + 22 + 5*n. Let j(a) = a - 1. What is -12*j(v) + l(v)?
-2*v - 2
Let g = -4 + 6. Let n(u) = -u + 1. Let y = 6 - 8. Let d(k) = -2*k + 2. What is g*n(i) + y*d(i)?
2*i - 2
Let a(f) = -f**3 + f**2 + f - 1. Let r = 6 + -13. Let u be (-9)/(-3) - (r - -4). Let q(z) = -4*z**3 + 6*z**2 + 6*z - 6. What is u*a(v) - q(v)?
-2*v**3
Let n(w) = 1 - 2*w + 1 - 5. Let j(f) = 2 - 3*f - 5 - 2. Suppose 7 = k - 3. Calculate k*n(h) - 6*j(h).
-2*h
Let j be (-9)/4*8/3. Let b(v) = 4*v**3 - 3. Let q(k) = -4*k**3 + 0 + 13 - 13*k**3. Let r(o) = o**2 - o - 26. Let l be r(0). Determine j*q(p) + l*b(p).
-2*p**3
Let c(v) = -v + 4. Let q(y) be the first derivative of -3 + 3*y - 1/2*y**2. What is -3*c(i) + 4*q(i)?
-i
Let z(m) = -12*m**3 - 26. Let p(s) = 4*s**3 + 9. Give -11*p(u) - 4*z(u).
4*u**3 + 5
Let s(q) = -9*q - 2. Suppose 0*h - 3*h = 5*a - 15, 2*a = -2*h + 10. Let o(v) = 4*v + 1. Give h*o(c) + 2*s(c).
2*c + 1
Let f(u) = -u**2 + 13*u + 14. Let o be f(14). Let x(r) = 2*r + o - 7 + 4 + r. Let b(g) = -g**2 - 4*g + 4. What is -3*b(p) - 4*x(p)?
3*p**2
Let f(q) = 9*q + 5. Let k(y) = -y + 1. What is f(t) - k(t)?
10*t + 4
Let l(i) = -i**3 + 4*i**2 + 4*i. Let m(u) = u**3 - u**2 - u. Let r(o) = -o**3 + 9*o**2 - 1. Let k be r(9). Calculate k*l(g) - 4*m(g).
-3*g**3
Suppose 0 = -3*i - i - 12. Let j(f) = 2*f + 9. Let p(v) = v + 5. Give i*j(l) + 5*p(l).
-l - 2
Let k(n) = -3*n**2 + 2*n - 3. Let m(g) = -1. Let b = -96 + 99. Determine b*m(l) - k(l).
3*l**2 - 2*l
Let l(q) = -q**3 + 3*q**2 + 5*q + 2. Let b(v) = v. What is -2*b(o) + l(o)?
-o**3 + 3*o**2 + 3*o + 2
Let s(b) = -6*b + 2. Let x(c) = -11*c + 3. Calculate 7*s(f) - 4*x(f).
2*f + 2
Let i(u) = 1. Let g(c) = 31*c + 3. Calculate -g(z) + 5*i(z).
-31*z + 2
Let m(n) = 3*n**2 - 6*n + 4. Let k(z) = 3*z**2
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{
"pile_set_name": "DM Mathematics"
}
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